NOTE: This really Big prime number may take a very long time to download!

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                    581,887,266,232,246,442,175,100,212,113,232,368,636,370,
852,325,421,589,325,781,704,480,584,492,761,707,442,316,428,281,349,423,376,
942,979,071,335,489,886,655,517,752,224,731,316,967,316,601,101,080,371,457,
923,021,838,436,917,492,197,333,394,648,729,851,218,665,756,323,673,512,565,
202,964,097,437,803,696,250,542,088,744,968,273,344,617,858,384,022,131,920,
787,583,935,917,496,283,612,402,707,082,209,797,985,800,006,635,414,921,583,
881,775,901,175,855,244,421,937,156,984,065,294,070,824,916,668,433,336,287,
290,654,803,493,450,648,643,707,818,608,236,480,157,480,359,745,219,707,507,
173,734,977,384,814,523,731,184,368,200,564,270,648,717,597,756,654,478,727,
288,872,431,916,344,358,766,382,062,118,229,667,496,087,869,810,535,788,260,
544,601,094,919,298,182,471,920,835,982,201,714,594,815,305,146,917,008,039,
554,371,406,033,688,111,728,698,594,673,434,146,841,287,309,501,252,881,443,
609,648,619,246,434,446,853,335,817,940,499,494,202,254,526,499,749,808,188,
056,692,363,870,593,931,331,056,739,450,745,849,450,277,316,474,966,160,322,
027,442,349,131,540,208,118,957,135,902,079,744,021,522,752,754,410,608,517,
535,971,119,064,781,752,630,429,345,628,744,193,783,801,749,630,971,264,807,
914,259,080,410,922,868,814,577,971,460,035,564,308,409,253,605,033,745,118,
455,302,325,995,061,101,029,556,088,468,152,923,453,944,567,513,115,971,101,
951,928,937,637,144,779,012,290,161,103,331,391,922,577,580,675,238,958,268,
548,708,573,587,817,743,205,427,542,507,472,121,692,438,861,800,948,887,268,
291,056,360,482,092,590,642,566,707,632,963,665,110,010,434,750,569,940,797,
382,431,639,453,690,186,507,352,301,072,743,156,788,765,570,872,474,010,539,
739,405,980,072,272,054,605,833,870,468,457,713,721,741,015,675,265,776,235,
000,340,602,155,527,718,732,812,862,860,944,521,088,174,890,705,446,428,307,
971,755,518,113,633,494,603,601,856,894,876,928,835,347,281,639,178,984,919,
110,780,726,014,790,277,439,607,381,805,241,647,432,368,802,300,562,435,076,
418,026,302,288,973,578,516,119,634,291,940,482,113,290,673,941,393,178,528,
593,756,849,203,226,880,659,406,454,427,100,157,555,271,491,620,423,143,695,
015,705,037,432,178,528,714,555,482,770,511,310,912,860,477,578,851,134,457,
316,112,765,262,422,068,091,479,207,143,285,463,758,604,862,509,625,992,917,
222,532,016,658,436,759,344,727,712,591,930,779,801,256,069,808,006,338,873,
157,569,278,881,054,846,383,064,095,093,968,500,555,103,240,831,111,087,590,
755,633,918,410,530,972,874,042,254,127,720,741,519,984,119,535,670,285,969,
034,723,174,041,409,205,758,285,377,616,441,546,112,046,627,125,596,058,461,
600,437,198,047,360,186,732,310,070,287,881,532,733,789,311,462,398,702,520,
907,750,494,578,814,029,529,277,004,521,185,166,504,999,936,271,847,158,478,
924,319,020,211,684,481,101,115,918,500,129,348,957,695,996,468,234,792,730,
106,345,748,302,893,529,952,342,455,422,961,925,890,476,451,299,379,374,498,
627,853,681,271,253,047,356,700,531,500,292,261,367,796,400,626,731,316,069,
153,704,233,142,082,193,862,609,917,347,526,032,617,639,829,439,629,238,156,
297,176,154,008,879,727,874,922,451,539,228,552,328,142,178,053,198,207,260,
612,585,863,314,859,070,303,886,172,592,700,574,906,811,620,520,328,542,965,
479,719,193,942,078,520,465,447,487,893,637,379,173,668,921,509,382,102,520,
425,799,104,864,668,248,372,456,614,452,295,761,175,459,262,234,451,159,403,
424,866,260,893,604,065,184,936,417,136,049,340,379,609,925,097,780,151,587,
143,821,456,501,015,893,227,287,496,185,481,472,735,202,213,199,315,902,420,
553,258,790,549,420,680,489,898,961,649,072,312,121,650,674,991,882,818,219,
490,449,321,993,886,978,391,151,876,023,068,592,352,413,176,125,984,505,849,
726,528,868,775,733,183,537,761,776,317,886,157,770,960,150,912,300,773,747,
553,733,508,999,627,892,074,561,318,815,480,995,009,627,050,066,077,717,797,
439,349,770,815,213,382,038,225,295,309,892,204,012,005,819,468,026,400,280,
390,131,872,733,937,309,528,476,930,034,832,552,729,673,175,275,028,450,065,
683,406,939,082,358,529,639,117,261,436,011,482,537,510,387,526,088,528,914,
965,333,851,800,249,512,056,878,585,016,217,445,087,135,426,584,359,954,435,
477,333,116,448,916,201,855,234,713,534,028,718,225,671,120,606,189,751,560,
045,036,594,648,225,064,870,898,179,873,139,329,990,138,236,500,043,689,922,
222,681,773,937,127,872,233,289,278,879,166,744,272,804,147,032,734,390,672,
817,034,463,161,656,664,643,119,724,769,815,507,917,389,168,974,454,638,113,
922,600,291,342,829,864,594,262,445,334,610,353,489,452,490,111,954,858,666,
349,987,476,834,992,232,786,994,132,032,886,367,722,334,027,867,187,868,977,
354,579,424,057,379,693,462,385,576,299,019,352,693,090,376,724,673,083,839,
977,348,612,131,251,251,357,646,494,956,850,351,445,030,932,490,685,093,474,
990,293,649,074,740,802,107,971,763,201,875,436,960,061,423,869,307,996,062,
330,271,371,646,605,065,818,026,024,259,569,451,070,343,456,915,672,026,347,
222,540,999,873,433,895,229,396,378,654,849,420,953,851,958,884,656,367,172,
630,285,292,445,508,834,460,288,108,903,115,263,099,247,299,397,392,261,995,
788,440,588,237,891,545,825,496,336,812,151,463,226,097,312,894,216,561,035,
034,142,572,942,205,081,410,582,926,963,194,922,077,177,155,502,934,783,218,
701,431,211,820,762,321,766,935,423,171,467,069,001,050,034,491,867,504,841,
593,719,001,822,118,384,863,961,195,047,869,539,964,938,425,115,857,120,785,
113,691,315,009,059,038,959,468,688,837,033,593,874,982,714,557,224,958,192,
020,683,408,163,876,872,553,917,045,149,097,103,059,082,274,886,570,051,836,
662,575,361,223,131,340,846,754,476,839,403,697,201,296,241,622,505,563,864,
938,864,225,151,836,165,844,105,521,221,571,274,318,425,195,881,782,790,546,
504,061,811,142,556,611,335,251,002,785,430,499,422,987,087,949,113,467,906,
518,509,258,858,690,689,299,708,690,914,872,945,644,134,474,542,915,196,067,
882,342,866,997,857,441,461,255,605,744,643,238,479,534,620,844,881,457,643,
315,167,834,642,488,451,611,939,328,123,022,696,850,946,775,976,369,174,622,
340,237,585,865,157,185,257,317,692,962,753,252,317,455,714,271,099,319,057,
464,232,297,422,799,265,681,498,643,423,470,974,011,939,643,659,780,914,117,
259,436,418,262,618,607,726,332,286,816,440,828,520,176,853,685,178,535,255,
464,229,811,322,524,244,206,467,181,071,948,100,041,064,562,461,358,064,418,
334,077,450,522,300,750,468,121,801,655,796,127,693,483,508,155,004,743,709,
485,455,329,683,474,045,711,375,076,510,696,253,630,007,265,196,947,147,198,
607,487,299,673,321,557,997,098,258,470,298,944,084,698,102,518,845,731,219,
883,796,779,647,076,828,937,150,301,275,773,907,742,037,652,363,243,107,419,
101,949,605,013,930,103,436,063,949,483,741,467,592,265,081,370,831,678,559,
785,247,462,502,187,142,650,767,481,894,642,128,976,491,801,381,554,991,429,
074,296,815,790,354,173,372,848,383,362,514,317,340,552,244,674,969,210,422,
693,385,562,267,586,238,641,958,226,417,811,230,162,064,005,283,935,632,562,
345,509,955,435,374,867,555,881,333,940,070,044,578,390,900,853,480,024,979,
631,297,796,995,566,158,768,774,255,715,140,578,055,002,497,469,075,160,223,
860,594,653,224,704,336,841,424,486,891,572,092,222,344,877,007,446,226,519,
838,484,856,739,208,651,492,978,183,282,518,839,974,851,151,383,749,492,680,
546,576,936,191,769,198,616,254,678,842,085,851,007,905,494,392,739,766,873,
738,641,887,721,160,178,691,247,626,096,068,382,320,837,619,505,503,266,615,
449,816,747,894,051,498,697,074,085,986,000,798,904,839,565,070,033,338,902,
984,440,548,577,143,842,897,479,747,770,186,522,712,834,954,948,476,736,244,
127,652,072,313,232,046,924,794,103,418,969,880,933,024,687,831,580,706,254,
934,284,772,450,237,947,186,883,952,319,564,215,526,490,148,946,581,323,306,
718,787,302,843,333,590,834,299,832,571,865,003,713,148,919,655,336,778,154,
255,755,572,809,384,578,889,575,898,536,609,223,267,560,640,799,989,281,457,
167,146,411,650,521,012,083,591,332,387,399,707,735,342,169,019,226,252,315,
330,010,299,599,803,545,705,788,391,163,870,599,590,592,080,848,746,078,785,
190,704,684,527,859,461,309,231,685,286,193,054,736,727,967,362,771,993,513,
310,993,675,189,662,271,284,617,093,723,141,948,670,879,730,384,810,959,171,
110,987,151,773,546,012,229,675,953,049,966,459,691,807,501,119,725,703,610,
562,534,397,414,849,993,356,717,273,051,934,879,695,895,857,269,399,948,461,
963,594,676,450,526,718,950,058,294,087,355,736,130,436,398,613,048,481,676,
470,762,129,942,721,139,435,321,612,548,400,389,277,143,228,439,235,850,671,
693,598,797,712,729,805,514,243,611,865,574,943,736,409,456,794,711,123,795,
192,817,992,617,319,129,224,965,990,297,064,273,656,325,633,458,630,726,936,
237,595,413,052,581,757,887,043,680,005,746,908,151,457,714,769,868,335,574,
473,258,839,182,368,046,726,248,067,601,454,746,037,859,086,818,812,421,392,
838,147,283,710,089,312,621,653,155,083,454,760,545,083,775,291,824,586,756,
023,093,534,351,024,746,370,403,345,530,099,155,496,671,251,311,295,170,416,
133,949,314,977,484,121,804,591,343,898,814,024,437,944,390,063,851,360,248,
801,487,085,825,815,199,970,653,863,742,513,608,401,740,617,270,942,542,913,
085,598,366,612,880,617,262,917,800,535,124,982,920,273,962,638,052,608,650,
128,689,401,711,508,405,773,120,128,130,201,339,648,143,121,728,892,589,170,
795,352,950,425,987,133,085,351,390,538,757,104,652,800,240,882,453,185,558,
559,240,676,480,940,931,328,306,029,321,165,856,823,321,036,896,847,695,345,
491,447,073,989,355,112,286,955,658,423,312,537,602,661,592,943,664,426,900,
644,142,903,034,083,380,462,836,116,761,244,788,099,369,406,418,818,091,718,
687,670,615,592,130,581,732,609,417,653,201,125,953,420,042,789,073,263,535,
044,782,838,000,008,725,655,124,439,666,035,385,829,633,626,870,958,912,803,
350,165,921,146,418,056,933,959,500,074,283,757,125,232,084,346,373,790,442,
011,369,645,228,321,591,804,972,662,988,970,204,299,801,625,998,964,681,018,
023,113,222,035,074,467,742,114,135,837,459,280,089,620,352,467,190,400,970,
383,817,209,686,284,881,340,721,492,247,225,772,240,596,621,262,966,119,721,
362,664,672,262,463,176,727,354,024,248,997,006,987,245,389,310,072,825,607,
785,425,273,324,866,539,288,294,450,952,251,906,949,920,526,198,300,725,517,
729,212,571,121,414,804,126,437,985,677,219,858,760,811,704,257,908,511,476,
515,032,458,623,432,162,455,054,571,791,406,693,129,237,755,762,599,355,756,
100,879,555,987,816,985,750,855,958,251,407,848,312,455,646,026,100,797,610,
849,882,963,541,880,913,011,642,560,174,570,175,804,368,721,278,086,164,902,
916,651,760,572,904,711,265,051,873,772,263,454,741,036,354,314,578,256,498,
358,547,628,592,109,359,979,064,569,924,075,256,106,190,847,970,843,866,016,
562,838,828,725,549,441,735,421,971,393,904,137,609,505,642,155,769,379,110,
739,930,566,619,532,396,789,182,855,282,138,541,081,173,644,914,424,741,074,
484,302,067,264,881,713,414,797,271,416,564,778,899,647,876,239,619,846,473,
827,878,598,282,948,763,858,348,437,984,211,743,288,193,649,146,717,469,854,
642,938,543,814,805,102,608,157,961,626,133,930,755,572,220,364,136,945,754,
224,707,653,316,325,664,309,992,703,459,329,499,062,758,397,562,105,856,251,
887,172,974,831,111,313,189,521,042,533,361,309,061,693,487,450,247,109,312,
606,987,443,955,984,787,225,276,361,909,442,568,689,256,408,895,881,461,813,
443,569,093,583,432,331,425,849,413,112,760,546,208,107,997,643,858,677,512,
903,423,622,917,379,153,862,329,252,658,708,129,370,915,534,382,541,737,638,
507,193,825,992,684,684,648,512,202,801,491,300,035,301,929,885,525,030,466,
049,662,647,916,842,693,485,266,718,697,511,146,431,611,417,986,203,580,384,
054,191,747,190,420,769,190,049,520,212,857,410,354,499,330,093,241,105,017,
385,008,853,570,388,437,704,265,722,899,186,138,802,521,612,162,457,292,870,
967,737,632,189,142,340,122,500,276,141,170,287,583,621,257,688,298,370,412,
088,078,299,360,480,247,032,527,530,323,789,145,766,197,538,473,246,512,310,
506,346,008,862,594,795,628,611,393,144,464,254,265,197,799,015,951,386,281,
991,008,614,096,608,755,780,514,297,550,607,880,697,509,624,435,487,311,387,
737,900,331,945,992,932,745,564,013,057,496,789,861,596,613,809,334,420,954,
531,412,595,550,010,137,727,985,536,088,885,731,243,815,798,083,908,635,129,
294,608,135,522,411,315,692,521,728,120,194,674,949,877,381,655,818,497,105,
224,018,651,992,713,100,259,118,496,807,201,555,747,098,410,329,537,135,118,
609,074,307,016,720,233,242,774,307,329,664,686,740,303,908,902,866,661,251,
347,812,062,736,807,548,914,856,476,648,331,184,645,194,184,925,531,537,923,
622,874,606,835,693,969,293,761,332,371,673,342,573,457,683,926,571,330,754,
504,248,194,380,675,929,993,084,510,410,761,825,229,370,748,231,527,214,814,
678,370,285,343,486,587,275,629,154,775,645,194,267,893,006,136,606,763,691,
035,051,884,156,091,055,748,849,224,502,562,155,369,993,697,191,899,273,566,
341,446,228,906,025,407,536,622,598,935,738,399,262,717,906,191,571,137,985,
766,730,137,424,302,003,930,010,652,385,901,569,494,551,528,663,732,450,326,
646,813,511,165,862,168,735,478,975,646,268,686,003,621,631,149,129,095,346,
285,963,288,753,551,599,940,993,307,257,489,731,732,787,171,300,937,443,852,
471,553,301,654,119,066,217,215,381,835,506,033,397,494,624,624,207,935,780,
706,729,742,690,411,912,814,151,409,415,101,278,112,755,114,067,460,656,861,
338,831,984,234,714,356,233,387,742,656,352,395,456,209,349,744,858,696,661,
917,181,009,970,260,924,424,417,432,592,334,388,830,821,279,536,049,483,556,
730,188,694,462,630,737,274,041,293,734,709,996,266,747,410,951,975,353,325,
382,354,499,314,105,565,318,055,016,412,144,968,918,264,394,101,303,300,199,
074,675,071,257,999,338,833,675,852,789,612,925,392,397,104,262,221,324,171,
325,556,026,410,811,202,105,592,479,780,476,739,609,692,979,480,114,245,955,
930,858,073,093,773,673,974,428,195,111,128,254,533,822,769,503,006,444,758,
780,904,134,321,275,931,138,072,968,071,657,686,814,756,997,684,869,248,721,
793,624,620,978,825,660,872,778,578,395,741,166,818,679,268,432,247,457,416,
166,464,273,705,930,401,171,791,985,055,026,181,385,257,614,207,982,322,980,
621,676,406,508,185,766,827,960,710,085,130,919,603,595,239,520,491,640,290,
935,512,385,207,185,300,383,846,105,363,010,743,636,781,369,684,635,011,618,
352,402,461,664,575,313,367,009,363,642,948,686,739,843,855,543,749,397,668,
063,665,886,726,396,413,430,380,955,378,214,266,964,611,405,080,728,155,840,
141,102,566,733,304,141,517,034,477,316,180,228,284,644,334,221,572,347,980,
456,550,291,620,703,780,654,104,835,383,097,276,427,927,418,334,550,344,908,
738,387,971,763,359,406,667,260,031,210,771,024,763,384,000,451,603,246,889,
848,046,359,719,686,273,969,725,769,836,523,580,760,012,433,358,076,394,614,
274,635,487,231,109,427,309,520,407,952,677,773,506,576,819,971,966,998,016,
526,054,176,847,866,102,102,061,105,864,317,872,386,952,146,846,081,691,615,
519,092,417,693,073,446,923,690,965,468,275,582,487,402,094,896,039,447,498,
684,109,203,697,821,211,155,011,717,024,415,166,131,251,332,210,530,765,380,
894,604,545,436,062,885,082,973,988,700,290,904,523,812,976,416,001,545,560,
970,905,459,254,830,054,225,452,682,645,181,450,791,435,766,952,003,104,723,
577,314,373,930,450,708,078,578,936,871,825,323,461,024,576,499,645,573,810,
939,989,411,928,729,940,867,509,852,690,684,692,720,066,012,088,643,336,214,
513,412,554,071,827,075,931,522,521,625,870,114,390,690,632,754,580,578,485,
255,835,958,232,505,595,456,245,462,491,399,917,480,886,148,172,400,656,579,
312,448,543,794,345,579,401,858,426,817,467,817,061,757,106,662,352,708,895,
064,242,871,843,403,042,754,482,967,480,157,916,829,902,829,032,475,038,704,
502,438,695,602,193,859,187,355,274,776,373,644,959,475,092,538,577,813,357,
833,379,617,545,615,830,396,872,382,649,288,410,072,367,293,217,212,656,705,
597,573,117,732,818,881,715,769,505,561,761,565,038,166,201,586,823,024,878,
017,323,885,929,060,877,147,200,777,911,119,036,076,673,578,906,925,241,811,
265,425,745,460,022,118,361,963,200,278,382,592,738,131,982,772,006,179,593,
598,261,238,118,880,550,680,969,753,387,264,878,462,536,848,842,150,761,529,
745,329,578,256,422,391,821,389,929,490,865,864,200,258,494,110,890,084,887,
601,737,244,237,482,210,290,383,864,552,717,276,610,073,804,916,806,406,935,
822,792,708,091,750,681,296,182,535,872,660,338,026,026,432,523,887,820,049,
935,517,792,821,815,585,351,367,474,421,330,959,961,996,511,343,527,198,213,
288,988,305,601,456,430,550,888,892,227,619,212,047,558,303,154,205,911,471,
603,765,121,128,362,797,842,745,592,283,303,875,699,171,820,257,012,085,700,
867,468,274,986,875,429,650,352,318,050,406,851,452,897,663,136,416,365,980,
877,443,110,051,535,117,872,886,034,355,751,167,052,234,203,159,280,700,363,
671,669,961,885,835,328,174,983,967,325,598,111,492,482,508,215,677,009,465,
708,342,282,233,244,666,494,122,066,372,754,530,307,712,308,662,459,636,489,
758,265,356,823,014,793,367,696,121,229,058,213,809,408,169,231,506,394,482,
492,804,442,867,146,385,484,125,417,209,698,574,119,962,183,431,180,401,776,
941,487,715,851,534,080,318,561,405,478,846,725,411,352,842,841,390,890,611,
507,513,087,890,126,549,945,138,081,208,899,942,997,747,182,096,122,177,635,
946,243,101,081,911,052,027,785,205,464,337,213,976,514,316,483,076,456,774,
738,454,241,300,103,824,078,092,452,142,205,614,812,501,681,723,084,100,077,
274,445,061,578,726,749,953,821,029,225,800,578,624,145,139,087,356,554,272,
601,749,275,936,228,283,443,375,054,983,192,122,287,034,224,867,634,186,409,
080,058,165,193,560,337,463,816,422,062,504,223,657,183,721,106,800,858,107,
749,007,347,851,982,625,711,313,983,044,529,513,174,059,036,060,329,646,761,
324,785,088,002,811,062,446,579,322,496,482,809,711,750,061,604,319,524,207,
137,746,503,041,239,115,210,232,444,573,558,740,758,272,764,010,995,129,890,
488,342,127,583,395,495,978,263,057,384,110,863,801,634,636,035,893,189,288,
383,841,180,806,399,619,862,124,199,650,011,444,963,015,573,378,568,471,748,
562,366,392,651,566,338,038,347,654,670,970,560,252,694,614,464,455,242,355,
038,228,511,014,802,917,863,885,759,485,129,051,690,777,267,442,725,017,708,
965,260,877,968,362,569,431,149,599,980,576,584,489,638,804,960,887,044,294,
998,915,418,389,535,199,845,574,928,254,600,552,606,002,275,293,951,019,221,
049,921,043,669,434,108,514,512,124,773,772,538,472,696,800,372,291,325,330,
239,081,762,695,299,817,779,161,857,700,911,027,685,836,066,463,982,410,430,
778,654,778,159,068,426,409,347,069,677,169,571,490,885,277,217,542,880,047,
625,550,857,042,701,637,445,040,269,197,493,336,360,402,623,569,409,662,949,
426,806,049,909,786,071,950,372,619,238,150,236,422,385,632,079,078,707,104,
531,487,974,380,547,871,244,419,979,318,152,145,823,610,709,372,748,791,058,
780,407,997,132,412,885,646,286,289,934,257,874,332,236,962,948,738,217,090,
008,493,977,605,057,147,793,957,040,567,925,299,429,833,586,774,209,203,228,
879,768,687,297,424,296,009,991,508,076,619,204,074,494,071,928,408,467,018,
836,042,515,009,719,571,776,299,099,550,618,559,559,635,292,708,114,013,131,
111,734,144,577,444,301,803,382,305,572,453,238,601,686,441,799,370,240,980,
085,611,957,529,913,667,756,968,782,703,421,868,186,399,908,647,330,829,439,
028,688,084,110,235,527,993,914,006,142,484,401,279,978,293,023,514,716,321,
159,983,379,181,658,190,976,430,279,534,265,626,674,266,228,985,034,717,487,
921,384,584,571,589,765,642,776,096,104,736,013,503,772,599,140,595,409,919,
578,756,230,429,500,682,011,908,660,428,932,851,556,833,396,117,908,779,269,
319,778,750,017,264,649,558,578,802,269,606,999,342,802,006,075,241,400,175,
510,245,690,753,938,020,874,661,243,024,572,316,010,097,841,448,571,440,354,
536,823,745,325,777,254,580,113,395,582,322,164,019,777,313,968,664,240,808,
947,511,226,064,030,971,117,621,586,883,901,334,059,009,051,244,232,389,893,
549,312,107,947,052,819,645,124,572,766,746,487,764,667,934,611,658,873,552,
969,727,356,589,816,902,125,405,552,739,417,754,709,005,893,091,431,246,930,
449,826,898,491,377,771,024,016,691,613,307,292,097,907,066,107,245,397,373,
894,498,458,281,041,795,401,708,635,088,588,026,352,630,803,579,551,445,211,
243,481,294,251,827,603,029,893,327,742,563,224,073,602,609,919,721,165,391,
432,538,403,254,524,421,132,898,626,220,897,188,924,706,558,264,196,909,887,
249,089,613,142,048,026,599,504,472,772,053,777,848,629,565,896,358,081,904,
697,544,884,374,069,908,130,918,928,793,206,157,090,931,822,397,013,642,121,
191,325,366,448,766,103,420,822,810,900,781,064,289,750,719,285,548,315,420,
198,119,150,238,422,314,483,112,932,369,381,230,762,983,087,232,372,747,047,
954,920,102,199,408,390,434,636,344,796,436,757,756,929,616,560,201,305,041,
481,893,345,913,104,156,269,758,009,104,544,238,139,907,301,308,759,811,887,
910,949,394,843,381,620,611,416,875,816,251,077,654,380,933,286,566,097,023,
256,822,430,160,029,326,677,976,355,052,901,020,448,997,548,250,295,391,788,
728,903,735,734,952,742,364,313,510,130,441,801,538,797,069,594,204,168,471,
286,088,068,384,399,141,727,000,346,366,840,433,242,941,178,500,535,326,546,
022,237,069,780,613,266,769,006,738,708,887,287,579,632,827,514,653,446,070,
450,784,760,640,622,423,085,364,262,610,650,320,300,946,137,381,431,960,208,
146,338,759,551,908,121,056,572,392,152,107,189,389,699,572,601,494,173,792,
809,943,180,756,248,539,007,550,989,163,760,299,485,010,024,013,776,459,894,
041,500,698,575,958,313,710,334,039,291,990,256,835,837,691,145,260,438,432,
657,028,695,118,650,151,906,065,153,901,688,190,493,642,432,224,862,025,086,
106,653,479,133,399,856,656,385,237,647,086,181,308,338,244,577,072,226,219,
835,611,644,275,703,170,845,005,645,397,376,091,715,997,535,859,727,075,814,
661,345,318,694,734,841,922,699,744,172,733,735,143,486,261,099,486,673,676,
633,040,156,179,477,965,990,901,577,496,188,698,685,567,079,773,362,323,557,
964,445,090,225,571,883,980,157,614,926,437,952,055,158,817,292,919,002,840,
276,928,478,215,743,200,224,033,664,244,888,690,541,092,225,419,367,142,639,
497,431,913,142,314,701,598,004,115,022,741,045,795,885,880,746,745,883,651,
523,128,297,973,844,062,454,160,924,660,386,935,868,085,734,783,798,149,632,
357,644,354,818,356,953,960,038,616,673,785,182,920,879,282,162,617,827,087,
285,464,046,036,597,550,828,873,648,977,857,659,626,828,242,386,313,193,702,
872,663,806,808,835,833,146,716,734,270,651,312,558,167,010,482,476,859,862,
141,875,752,707,565,799,018,170,835,337,899,318,475,281,964,411,288,846,910,
723,050,297,388,643,579,024,138,374,392,110,149,851,203,792,235,454,579,367,
525,100,374,872,796,320,009,098,283,059,256,059,893,853,797,660,714,001,948,
582,040,269,426,185,365,215,293,426,544,340,670,550,372,349,384,017,892,342,
891,081,471,518,467,333,681,276,080,140,631,601,276,741,724,089,110,974,254,
091,024,789,258,218,307,096,679,683,213,641,124,619,453,473,693,939,370,674,
525,963,480,086,715,183,173,420,059,489,721,429,496,597,521,163,165,952,682,
156,763,599,811,109,044,779,889,927,058,096,827,370,847,565,036,087,159,052,
600,133,566,818,479,215,004,108,556,308,592,877,276,430,867,488,960,905,343,
145,873,451,249,265,605,863,355,344,334,131,747,024,676,324,765,332,389,063,
221,939,987,767,656,705,019,485,605,535,921,448,382,118,141,602,274,607,516,
005,299,995,823,128,719,191,070,897,559,849,900,143,220,904,962,551,643,237,
361,131,546,259,390,088,462,829,784,325,907,489,997,387,675,315,000,134,341,
996,877,247,350,596,240,324,248,883,972,052,828,672,949,124,306,440,336,299,
307,425,890,804,632,949,621,386,560,643,087,795,240,335,540,360,703,464,225,
441,937,508,642,147,449,188,971,903,393,884,780,018,188,943,875,857,043,525,
173,540,647,163,498,117,534,357,516,112,748,791,937,866,932,948,875,052,389,
445,910,917,856,141,255,208,563,860,098,363,166,688,396,368,633,768,737,893,
546,506,418,827,683,781,284,011,343,708,382,547,459,634,456,472,949,238,482,
574,917,272,370,568,717,478,292,567,625,064,102,894,669,927,253,572,569,363,
468,622,424,839,521,247,771,241,736,564,691,291,714,132,074,729,538,541,284,
483,794,883,479,967,942,414,039,930,965,064,376,176,073,886,817,740,312,363,
895,956,770,944,606,777,285,414,351,259,107,241,970,929,488,337,777,421,413,
263,881,122,298,284,341,709,466,410,285,361,420,615,895,651,004,531,502,907,
000,900,220,432,308,753,833,255,842,993,203,549,026,730,120,718,870,566,974,
569,792,525,395,100,615,433,950,858,080,812,802,016,169,065,314,324,612,759,
775,001,058,078,678,037,240,388,548,991,016,520,945,509,362,882,740,159,755,
838,760,416,155,229,134,405,098,452,874,836,060,364,267,378,954,491,086,214,
657,497,654,789,983,765,861,096,725,474,356,161,512,013,961,667,648,148,851,
922,320,944,404,000,862,044,899,224,337,385,065,774,145,582,438,390,269,249,
427,672,481,999,202,795,474,215,532,633,403,706,254,043,777,270,623,738,645,
242,065,436,235,820,243,442,549,491,325,697,922,760,858,908,542,321,702,128,
257,207,236,501,105,256,902,207,762,896,886,081,879,285,349,375,872,459,844,
188,967,209,641,364,925,474,512,321,510,212,843,202,737,648,703,669,953,539,
156,107,448,696,697,989,272,781,729,267,612,256,772,571,304,562,064,335,084,
997,794,312,828,170,155,096,091,018,736,599,108,791,160,024,115,217,946,897,
383,542,072,025,730,661,209,352,715,389,499,898,730,392,150,947,856,136,281,
546,964,341,146,000,375,503,115,736,641,517,877,033,983,894,711,576,417,523,
707,832,157,474,901,872,209,080,166,776,563,040,246,196,976,697,421,359,464,
926,609,488,966,441,604,626,850,172,511,996,406,304,568,758,027,387,118,239,
328,302,345,309,935,039,569,394,227,132,368,683,382,964,336,209,453,262,866,
656,370,351,829,357,686,863,181,805,543,223,909,997,886,048,453,344,198,638,
702,442,731,634,983,246,900,156,415,444,371,933,623,280,507,644,429,157,528,
813,421,926,920,790,318,362,277,237,285,126,149,241,782,948,960,419,956,311,
312,509,571,052,844,858,427,513,520,019,137,889,197,507,288,357,301,256,049,
020,195,296,370,394,133,834,645,734,004,397,593,720,162,062,546,443,912,791,
855,409,172,869,710,532,922,165,945,835,770,260,162,712,805,681,691,436,985,
688,044,367,081,629,909,061,893,097,333,304,836,987,774,041,510,903,307,949,
692,240,594,569,240,534,491,987,371,156,093,304,853,938,289,875,812,451,960,
317,279,738,704,465,523,050,354,299,772,546,673,491,049,910,550,518,942,234,
723,246,361,313,735,520,634,860,353,270,751,943,869,571,005,194,703,943,160,
081,285,003,984,997,530,532,957,403,645,524,839,600,195,106,332,602,076,386,
258,088,847,133,089,723,278,711,544,629,011,865,288,541,125,249,034,923,573,
568,834,818,052,962,251,456,851,023,687,029,154,060,833,869,085,990,610,723,
372,897,430,603,366,740,426,493,576,525,346,863,832,516,497,701,198,358,584,
124,774,073,211,501,390,239,300,506,633,172,666,248,233,537,455,043,018,130,
362,487,613,893,111,731,195,465,640,901,737,955,161,437,619,612,716,898,541,
125,064,804,352,944,669,204,843,665,006,845,656,168,241,601,248,018,008,806,
936,872,278,549,270,766,910,775,335,328,540,220,899,237,670,616,933,129,531,
667,327,639,358,184,051,495,473,161,949,126,892,234,148,681,291,296,597,235,
716,692,307,104,108,126,569,775,127,122,971,841,996,858,299,647,908,835,038,
907,497,301,266,133,526,935,625,821,694,134,726,545,480,235,728,939,570,072,
453,020,243,690,045,677,015,259,417,312,368,141,249,637,761,239,804,171,448,
357,440,480,121,065,710,729,651,914,397,987,266,647,845,454,257,378,416,094,
559,794,994,160,542,705,557,854,993,797,028,867,970,986,246,653,287,876,365,
226,669,940,527,335,009,770,124,371,329,426,968,395,615,969,517,774,578,763,
041,500,545,280,751,980,822,296,228,720,270,647,204,813,142,523,973,460,475,
945,766,113,544,438,928,713,946,860,534,648,470,667,911,054,763,018,606,252,
556,590,727,815,938,565,022,424,556,650,452,865,167,710,309,409,311,919,847,
345,493,453,867,466,845,213,651,919,632,632,630,693,288,637,528,642,671,429,
409,362,145,297,240,246,811,085,338,855,627,440,994,228,085,864,832,903,370,
686,555,275,297,842,951,940,276,882,749,321,746,699,901,816,562,653,728,265,
622,325,933,735,925,006,096,146,339,359,171,460,333,233,463,400,312,144,556,
817,163,801,032,620,701,898,113,330,275,370,442,109,579,648,916,721,576,078,
842,190,372,942,065,173,116,291,270,119,762,671,590,443,510,252,866,076,151,
785,581,503,404,152,969,799,355,862,771,444,562,799,303,536,449,551,701,386,
802,401,319,298,930,646,811,847,146,972,784,437,944,638,055,693,611,313,557,
014,801,095,265,272,128,575,520,392,151,534,177,466,933,208,089,313,161,363,
956,662,614,449,279,622,199,475,299,185,055,223,852,243,194,939,465,833,938,
771,251,358,391,548,255,977,484,237,014,063,578,975,935,382,657,538,992,701,
633,733,052,936,163,961,001,867,766,238,960,137,165,621,690,681,018,246,205,
453,294,301,991,201,374,519,561,288,361,392,173,653,799,599,611,645,714,545,
441,031,472,847,247,871,339,670,350,858,346,775,905,786,102,283,150,293,402,
429,990,694,048,202,725,161,938,700,032,960,008,889,981,487,421,109,139,852,
520,583,780,400,763,891,158,071,890,713,626,612,117,242,079,905,737,992,028,
132,644,859,587,055,698,295,155,484,524,850,155,184,405,576,719,140,289,441,
941,293,585,144,792,200,291,179,515,792,149,796,450,983,729,563,061,160,031,
832,306,571,894,945,652,538,416,681,505,231,506,931,712,959,602,555,609,068,
812,809,107,639,024,571,635,061,975,424,978,956,667,573,346,862,133,166,105,
462,515,048,991,942,065,152,154,835,800,139,230,055,784,367,960,323,370,080,
874,436,625,123,726,578,927,288,873,029,261,284,647,523,852,060,609,366,559,
567,575,643,034,630,929,750,650,689,218,685,554,153,231,153,533,641,164,804,
952,057,289,513,628,961,187,141,984,919,520,860,438,584,368,967,515,560,079,
560,686,505,587,443,967,081,782,128,541,267,226,174,552,795,647,152,184,416,
756,645,058,977,038,211,183,052,086,950,666,373,992,168,508,604,055,095,042,
418,860,132,002,217,133,857,756,417,952,151,908,616,966,756,625,812,345,539,
584,081,630,893,941,140,066,117,219,325,591,614,572,091,778,842,646,820,892,
073,709,568,783,106,222,787,436,214,585,108,176,332,049,048,933,418,649,759,
968,169,769,497,887,204,953,081,651,032,318,578,309,117,268,539,406,020,447,
684,361,859,946,221,835,900,244,431,130,445,531,876,384,960,995,060,762,653,
728,040,530,675,858,756,878,693,278,974,748,128,383,208,669,863,419,721,579,
812,046,920,943,616,963,356,323,604,758,933,515,444,857,692,506,661,510,909,
560,434,394,093,391,631,063,803,840,468,044,480,055,200,778,576,731,367,042,
011,654,560,610,822,640,203,715,516,330,253,046,386,656,432,616,737,358,262,
706,698,664,523,906,995,553,789,585,439,335,741,086,842,198,758,941,456,900,
936,417,600,178,254,277,504,333,068,114,423,289,390,723,514,789,718,200,912,
320,134,403,464,874,858,296,341,173,331,369,042,617,547,311,775,400,620,368,
513,863,610,856,979,852,139,736,887,059,242,541,950,206,525,091,842,361,105,
181,975,457,816,284,418,360,528,042,063,110,857,548,460,463,718,539,635,185,
125,011,151,807,707,089,735,428,549,871,317,006,121,615,920,504,366,631,577,
230,385,801,321,438,482,661,720,270,423,342,909,339,637,484,127,720,802,112,
270,722,274,984,084,200,276,088,938,321,035,990,963,340,414,827,620,580,787,
030,443,976,744,820,964,605,300,762,306,298,376,566,644,298,333,448,727,925,
523,802,548,837,112,403,055,794,546,972,713,965,668,905,323,562,658,837,780,
863,311,783,555,683,695,074,842,722,709,068,314,874,476,105,210,103,974,358,
867,809,788,256,817,813,944,693,406,882,027,446,225,621,972,559,149,575,083,
215,375,868,659,693,831,967,128,625,563,465,546,157,438,341,144,699,099,286,
020,860,458,950,025,593,360,683,267,020,782,075,360,111,997,250,407,417,699,
404,354,496,538,951,082,278,497,451,610,170,262,601,088,322,352,532,217,148,
295,011,828,841,391,442,897,833,890,547,673,007,312,379,434,770,738,519,791,
543,036,637,966,668,550,133,422,911,474,704,321,065,432,592,158,179,869,353,
372,994,786,161,057,518,642,237,331,182,527,336,676,211,257,646,641,383,054,
940,548,030,526,901,392,245,241,354,499,355,316,293,568,044,177,584,553,202,
690,469,662,290,674,827,380,758,452,806,351,333,514,900,210,104,068,852,312,
372,946,725,515,454,646,767,515,851,579,228,652,298,740,443,218,445,616,078,
064,500,415,493,539,662,166,163,741,804,342,224,902,274,426,475,303,912,612,
429,044,016,281,149,611,342,773,416,214,145,396,315,536,332,129,014,433,443,
247,084,377,348,133,076,924,334,970,813,656,156,505,879,085,705,197,631,133,
241,659,478,146,560,109,614,138,719,635,005,774,368,020,184,082,917,185,014,
067,211,296,009,670,598,803,991,626,953,800,719,000,797,891,843,949,094,640,
008,753,886,315,068,967,024,392,641,346,497,236,666,059,612,925,151,759,355,
366,787,013,954,689,203,709,386,617,754,300,786,187,814,470,933,807,565,013,
915,274,548,370,112,890,359,830,721,480,429,272,112,964,869,157,276,048,615,
358,646,452,948,429,379,369,843,400,916,251,937,640,772,267,007,722,715,029,
897,524,504,888,956,084,454,157,881,560,125,052,369,581,708,398,846,249,728,
243,168,994,048,699,034,704,498,364,441,061,576,204,799,438,079,447,933,454,
409,501,755,612,537,278,106,802,666,825,713,630,469,260,992,454,651,875,014,
705,085,603,339,292,898,670,595,614,125,210,833,669,176,920,045,758,148,026,
643,987,645,251,980,490,208,025,658,013,786,801,153,453,370,372,703,136,508,
790,768,742,566,536,425,397,293,295,714,932,606,159,689,928,411,055,193,292,
976,314,392,938,394,061,568,467,551,029,384,443,027,388,983,903,412,354,409,
156,495,763,022,468,650,759,095,978,578,369,369,295,475,283,171,394,915,014,
590,078,906,709,736,397,840,213,999,290,953,473,136,462,331,689,294,299,366,
746,580,298,866,726,765,996,586,473,660,709,807,954,963,849,767,586,950,201,
724,844,038,842,313,450,138,908,021,120,360,238,922,986,168,370,809,687,218,
902,226,194,994,958,914,172,743,073,550,009,537,957,122,230,842,453,766,066,
555,502,735,532,134,333,009,288,268,270,437,103,506,423,470,794,417,893,144,
473,838,571,893,016,541,884,853,693,718,609,953,455,705,803,021,430,538,940,
917,475,610,832,526,763,482,609,330,663,619,959,270,248,391,441,279,406,653,
664,241,308,932,681,717,059,007,510,650,092,667,834,566,924,573,174,550,102,
366,105,670,299,556,900,039,478,125,493,825,162,625,320,054,478,649,230,796,
474,291,438,505,664,500,240,580,835,062,348,386,517,965,191,740,737,191,229,
026,650,901,620,762,556,331,931,186,119,815,530,232,019,600,439,830,594,676,
505,162,980,435,310,607,327,620,131,135,566,399,027,289,686,704,211,529,723,
031,907,206,879,591,137,875,424,828,168,783,758,664,092,554,691,267,482,670,
148,016,588,403,250,823,471,313,770,174,061,044,034,271,004,824,343,917,392,
744,187,247,504,704,724,533,740,519,993,420,684,473,027,865,525,536,637,656,
647,292,653,943,881,789,209,525,175,186,195,002,735,618,796,011,502,473,486,
797,973,544,679,501,737,177,871,143,179,270,244,628,873,263,325,163,651,256,
105,750,064,492,377,480,315,482,139,056,355,877,915,393,638,161,593,944,192,
610,854,384,615,451,532,343,685,139,401,846,980,473,077,689,457,978,602,343,
906,415,454,904,694,794,456,152,880,826,348,480,022,629,133,399,038,935,321,
699,026,777,229,579,623,828,477,897,862,790,101,129,188,550,424,304,227,047,
399,382,523,178,016,777,403,981,638,017,823,510,080,937,022,897,493,719,171,
067,532,661,760,395,661,671,788,685,840,088,557,247,736,381,948,688,112,743,
910,034,857,438,669,905,499,437,201,754,503,545,704,181,352,425,277,285,110,
164,654,437,521,723,393,135,660,165,602,605,908,033,204,533,615,126,076,784,
825,739,706,482,564,448,204,919,887,719,199,104,068,845,167,480,353,143,859,
307,194,697,141,162,738,942,990,397,307,131,365,836,282,596,665,438,025,492,
250,556,648,147,597,789,931,897,626,922,815,611,269,231,608,181,560,020,260,
955,723,304,519,969,192,864,596,671,030,974,688,054,449,809,186,002,316,122,
081,214,182,331,373,004,062,926,909,698,996,009,701,384,302,210,112,534,498,
712,721,541,048,902,757,232,675,795,113,003,961,602,097,663,192,277,076,981,
879,332,260,667,711,692,564,084,061,948,559,487,908,089,346,951,959,326,531,
711,786,346,745,679,895,644,458,280,304,061,865,197,494,808,244,609,628,834,
737,416,603,878,550,379,184,138,744,013,525,523,227,209,636,383,506,013,120,
487,592,290,071,218,002,851,378,323,898,707,244,147,703,167,641,253,772,431,
193,327,015,898,230,133,869,341,273,786,152,613,158,467,194,266,394,949,020,
540,884,072,654,605,044,371,462,127,899,696,477,961,056,243,815,103,604,614,
682,663,735,905,819,969,567,723,229,908,060,537,528,016,864,024,704,612,594,
080,900,485,451,930,077,438,909,860,480,016,431,223,679,366,910,347,142,593,
869,969,351,502,499,490,283,829,975,662,131,823,604,066,996,251,174,362,940,
818,640,713,170,369,917,194,518,555,318,107,400,396,680,374,241,162,910,598,
511,654,591,299,338,393,334,632,878,467,328,115,316,584,989,067,947,160,911,
920,703,821,726,784,068,982,667,227,483,365,928,504,685,215,364,311,196,094,
102,591,081,144,279,182,491,718,270,376,851,794,664,205,963,496,632,663,621,
607,708,320,492,423,722,612,264,477,823,631,355,405,327,141,775,965,104,467,
462,356,676,740,685,412,372,131,723,968,429,907,331,769,652,041,941,315,437,
831,864,434,779,115,796,435,448,685,097,047,369,377,847,231,975,966,938,730,
018,416,285,212,646,304,174,271,952,335,767,453,159,910,062,807,649,836,836,
110,526,201,979,788,886,233,167,331,255,553,103,754,289,032,757,348,093,154,
896,464,538,073,982,471,188,205,989,411,203,618,327,458,565,454,997,332,893,
578,151,486,093,638,878,996,656,804,014,167,152,754,118,353,047,364,665,462,
521,420,928,265,378,350,497,910,408,915,548,865,571,496,660,004,925,940,364,
905,516,945,781,467,943,530,272,165,049,331,555,265,284,511,445,427,877,968,
373,900,774,166,794,689,413,354,140,201,978,853,430,189,409,408,428,296,896,
392,081,657,766,862,838,231,200,658,684,377,377,621,907,422,670,466,462,161,
936,916,575,476,621,265,759,004,118,949,646,390,380,259,436,171,610,749,095,
353,224,343,536,753,417,890,119,215,586,059,819,249,402,999,299,921,817,160,
861,324,475,675,559,170,982,412,725,582,500,989,706,559,171,420,775,505,066,
037,441,675,565,062,876,679,471,486,828,547,137,266,326,536,862,150,246,498,
852,478,366,716,334,765,996,499,947,797,446,672,931,899,407,981,811,882,643,
001,425,843,155,714,231,480,611,188,746,547,504,831,913,217,127,036,456,231,
476,329,980,671,019,279,923,318,073,136,331,073,350,175,540,774,551,974,859,
244,082,839,137,317,448,903,679,531,480,227,323,337,539,748,846,440,129,291,
954,010,975,649,616,535,593,695,667,254,275,365,570,702,185,927,870,112,094,
083,800,166,859,642,524,254,118,844,389,172,247,011,950,899,474,742,644,050,
778,945,057,578,397,102,178,312,562,678,982,654,696,731,511,825,607,459,185,
374,167,429,640,393,105,120,022,528,304,705,245,333,975,436,732,404,547,496,
382,634,964,373,801,714,088,734,683,943,291,136,241,918,073,153,995,967,763,
238,250,698,642,385,204,781,948,776,603,193,790,274,703,476,681,134,068,908,
051,624,987,573,979,907,709,838,628,513,807,297,739,168,380,889,833,463,448,
879,191,533,899,187,514,523,165,445,666,671,807,339,316,172,522,256,738,044,
167,408,201,720,735,623,985,515,191,614,958,046,199,910,784,400,048,323,783,
387,609,678,181,250,836,463,828,269,880,801,220,075,726,080,450,987,266,543,
132,772,195,335,815,559,239,319,964,004,627,757,778,448,311,211,622,652,531,
213,618,698,236,556,058,685,678,115,381,211,794,932,924,950,785,333,084,743,
007,796,291,345,732,888,316,179,447,329,302,283,529,115,173,189,070,785,884,
187,505,954,017,025,614,910,263,130,502,904,207,670,909,457,908,725,373,185,
771,473,806,049,473,984,985,495,200,342,985,436,507,839,370,539,745,246,237,
780,257,115,852,211,186,846,638,862,309,421,610,433,147,813,038,827,143,012,
181,767,186,606,531,671,349,911,671,912,539,172,965,720,294,902,659,643,891,
315,925,215,549,323,294,623,862,288,991,103,586,571,046,907,589,267,576,029,
994,077,381,108,243,594,795,800,805,360,413,488,686,648,813,445,544,906,805,
024,594,122,972,553,207,322,526,473,928,184,715,258,733,876,434,039,683,382,
222,656,935,025,339,319,042,165,910,425,856,483,788,401,556,704,058,173,289,
360,936,664,523,339,720,945,307,225,847,768,856,631,661,174,388,564,306,717,
527,244,739,051,595,239,999,986,662,307,683,027,814,847,991,731,794,244,100,
877,459,039,021,394,617,481,671,613,412,903,442,097,487,995,313,614,992,790,
801,408,425,085,623,718,317,951,252,717,538,831,206,463,420,098,893,439,045,
570,517,915,512,946,582,359,895,631,247,813,869,427,413,536,034,774,869,798,
907,213,045,144,685,416,490,471,643,664,893,631,052,006,261,108,138,507,363,
742,593,650,111,516,235,817,083,055,907,034,540,507,041,277,868,733,289,381,
915,472,541,472,973,407,990,501,672,134,108,669,061,467,517,667,035,724,530,
707,728,643,282,700,481,084,335,705,237,302,189,925,343,425,370,579,554,039,
697,465,931,145,194,430,085,919,450,808,406,231,938,004,650,683,869,972,268,
342,933,877,238,644,869,971,368,538,245,398,618,198,167,884,029,923,830,083,
212,144,210,622,147,754,949,126,944,770,244,765,120,329,104,395,571,173,161,
354,625,689,727,984,411,460,910,155,993,089,979,208,147,089,166,035,164,141,
033,662,602,620,544,712,636,223,523,320,555,528,529,214,885,259,769,353,355,
572,659,709,237,736,794,910,805,422,802,978,096,072,291,129,686,854,464,854,
849,192,472,834,157,530,769,354,530,576,474,620,480,299,635,553,861,856,621,
081,140,820,769,758,913,954,413,686,535,696,669,390,954,373,970,834,394,074,
848,709,219,630,014,201,480,333,667,721,062,955,443,584,607,285,731,183,068,
978,151,757,963,974,168,974,104,604,365,115,106,676,554,978,313,085,792,368,
966,604,933,291,065,631,928,507,607,129,328,185,891,288,379,458,755,425,045,
772,132,397,659,786,586,303,294,965,217,683,038,832,024,080,477,525,250,466,
014,190,534,015,110,890,956,833,877,873,159,752,938,979,008,314,100,408,274,
342,889,070,854,237,183,699,465,923,254,140,392,663,976,861,056,901,967,269,
563,633,373,300,065,075,922,862,330,520,581,346,831,997,357,467,672,366,004,
223,273,368,508,454,019,614,255,203,925,978,142,534,328,389,677,249,593,500,
193,381,343,185,696,838,987,223,606,062,676,152,702,115,250,590,555,252,593,
519,352,926,276,596,478,357,808,470,808,642,265,023,278,008,244,629,251,791,
725,756,612,285,867,240,159,274,477,329,703,939,342,296,057,897,203,280,703,
516,433,540,959,465,747,477,544,130,610,035,978,477,706,606,846,023,481,654,
563,842,956,445,879,105,374,990,146,512,567,020,447,064,619,053,739,686,326,
344,687,682,898,916,655,060,633,031,938,579,371,572,291,583,899,286,794,787,
813,299,383,811,182,452,518,650,993,434,498,214,354,312,519,445,846,342,480,
234,813,664,325,498,222,132,886,372,086,441,835,150,326,396,039,920,345,569,
187,845,162,649,964,669,895,906,279,648,090,787,691,696,300,606,627,739,189,
171,443,831,441,893,735,409,032,182,233,366,979,843,534,646,323,856,650,109,
377,134,068,758,924,668,984,599,502,602,452,789,433,811,417,724,892,956,430,
435,802,647,654,604,733,740,403,804,992,302,706,253,649,616,213,800,370,878,
769,811,811,844,526,000,251,979,210,710,650,908,340,301,977,733,760,686,781,
092,702,856,065,067,407,142,848,474,031,614,316,941,377,815,113,907,664,706,
689,602,690,768,791,672,929,126,755,463,183,205,329,305,758,628,003,713,971,
184,843,547,299,442,794,093,351,590,483,539,560,945,714,393,048,513,603,727,
420,410,452,774,028,173,095,156,555,577,657,363,844,985,644,691,598,140,676,
659,066,653,269,875,611,907,429,187,319,541,215,924,506,518,548,492,574,015,
545,711,116,353,788,644,672,710,475,974,995,773,376,814,419,148,917,395,564,
462,117,232,788,125,814,083,088,817,002,653,809,374,492,884,546,746,892,193,
356,752,278,561,623,915,159,936,161,441,850,477,528,092,391,546,468,373,013,
237,272,446,652,586,848,843,344,661,739,233,323,071,584,842,326,004,826,808,
560,027,069,724,445,806,869,550,382,344,942,130,526,610,488,350,530,618,547,
583,533,992,430,945,472,071,152,438,270,372,469,200,340,380,700,092,917,392,
986,120,035,402,612,280,714,547,192,619,882,657,738,159,382,553,111,407,932,
813,230,313,222,470,690,656,516,502,146,141,285,716,636,045,541,932,937,230,
610,372,728,628,988,219,663,642,967,165,841,695,320,530,472,040,670,781,091,
470,074,795,344,275,632,311,095,323,122,538,856,944,333,613,917,899,727,156,
139,450,102,844,814,612,735,160,495,785,947,877,269,651,991,904,074,808,080,
709,798,951,572,068,076,803,977,251,480,540,867,118,778,502,414,062,503,558,
735,677,887,150,137,001,441,542,785,017,255,069,654,222,499,614,013,371,102,
577,527,123,481,965,607,792,799,656,043,928,611,012,991,648,765,787,798,094,
075,498,692,339,985,337,370,573,010,699,088,309,272,115,959,382,225,487,855,
045,095,404,268,650,071,602,936,018,131,815,946,023,225,312,080,031,242,659,
466,307,617,034,383,048,712,717,627,895,291,530,782,023,255,610,557,685,399,
898,240,391,958,358,659,341,892,601,525,598,079,649,135,201,758,322,237,896,
992,364,426,376,715,971,472,164,723,062,694,840,045,635,606,259,364,239,749,
331,739,359,942,871,562,633,065,176,778,719,777,230,019,396,479,215,462,080,
412,857,988,901,603,088,271,997,654,340,113,389,949,314,864,277,947,751,489,
768,173,406,683,998,254,293,696,638,938,232,441,089,082,890,532,899,917,466,
702,973,227,829,551,614,730,423,807,021,533,331,102,289,821,683,569,382,186,
274,963,432,426,665,794,626,707,380,278,378,497,796,186,356,760,429,744,506,
057,750,784,833,021,878,850,679,822,647,755,701,091,275,292,526,694,733,177,
938,692,078,919,831,376,982,853,882,073,106,674,685,415,459,308,948,669,690,
794,464,811,549,692,484,150,167,736,539,903,158,102,871,175,995,959,413,011,
326,636,883,810,774,140,423,091,450,946,439,330,223,457,001,208,136,784,625,
676,028,175,638,367,277,906,795,901,366,229,887,941,975,320,746,704,136,263,
715,114,696,184,322,161,585,317,946,662,295,608,011,425,842,919,734,186,693,
528,974,925,312,746,712,612,729,112,019,261,480,455,621,244,595,854,569,073,
116,456,851,727,069,506,307,093,287,761,954,099,908,753,692,684,792,821,364,
509,439,219,997,138,422,798,044,110,004,495,683,705,103,232,495,038,062,744,
239,879,733,259,173,086,130,106,089,499,360,769,463,290,740,519,557,282,499,
559,564,499,005,962,660,320,062,083,745,286,113,998,429,534,978,804,701,190,
866,212,537,875,149,682,436,923,395,827,100,072,010,659,309,362,047,548,561,
425,958,845,317,771,181,840,221,642,889,592,230,202,233,525,068,076,387,397,
010,119,389,346,442,928,262,247,174,437,621,501,825,752,429,506,540,947,030,
535,191,041,182,267,465,930,223,579,459,045,609,902,943,007,515,016,727,013,
983,341,697,585,122,237,317,288,949,571,992,820,871,788,974,177,106,392,606,
860,838,964,908,976,756,581,823,111,944,596,905,124,569,545,431,821,478,392,
681,932,164,652,202,680,226,904,625,985,009,562,685,185,233,343,453,177,694,
624,431,995,635,036,165,339,436,574,063,646,322,501,032,353,438,556,367,082,
932,726,701,857,576,065,361,748,584,021,808,843,793,284,754,747,555,162,510,
993,551,960,291,069,681,006,581,248,166,401,779,546,396,958,206,672,650,858,
333,598,916,364,217,400,430,609,732,070,306,811,770,822,397,374,047,100,376,
135,652,572,929,467,358,000,523,141,143,379,687,960,120,301,487,816,237,176,
588,111,354,806,530,911,216,204,454,705,761,401,522,608,860,406,627,371,128,
248,972,792,280,155,736,866,856,174,001,988,181,321,159,671,797,820,825,529,
065,106,821,346,088,975,910,383,359,801,974,186,365,650,421,011,070,902,731,
284,050,582,427,580,992,301,418,211,821,719,046,204,146,998,441,006,489,147,
389,122,146,374,794,457,787,836,809,668,523,780,347,676,570,732,232,416,772,
426,862,196,641,844,995,852,108,661,868,133,168,692,151,484,594,147,185,970,
300,324,451,831,047,157,572,490,376,890,944,253,128,429,642,297,902,064,851,
168,235,170,472,339,171,593,396,784,674,238,315,893,310,965,879,347,537,689,
070,210,859,063,281,857,580,244,106,250,487,317,952,184,174,405,351,249,619,
953,590,207,637,464,116,508,367,279,379,290,980,931,603,261,811,315,233,098,
266,614,411,289,787,979,553,890,726,464,719,551,082,852,179,730,125,561,253,
018,554,400,773,082,969,079,429,709,481,155,996,192,433,361,067,437,924,900,
348,669,470,498,883,074,890,382,840,629,562,325,025,663,690,889,220,309,048,
736,643,555,990,319,277,456,442,209,022,441,856,269,236,529,596,535,823,120,
076,292,398,838,734,919,864,975,180,239,734,601,253,641,799,877,595,420,466,
006,222,136,968,265,918,825,111,143,008,848,513,932,524,074,630,919,021,328,
754,389,878,687,623,227,868,220,441,059,885,998,260,606,600,799,639,591,158,
851,240,956,702,768,972,294,004,019,814,702,505,235,682,800,480,275,252,522,
343,132,511,702,720,423,721,338,560,395,672,867,119,568,745,874,330,708,272,
206,368,642,107,319,331,200,166,045,336,453,687,737,504,355,576,590,049,010,
604,298,307,154,072,571,189,303,832,799,329,781,084,449,648,901,726,505,300,
286,794,672,067,960,440,049,032,475,813,778,914,895,638,896,884,666,168,770,
734,948,925,465,733,210,864,684,335,856,651,097,167,635,113,277,392,733,583,
115,414,446,416,565,331,073,924,571,987,290,362,710,378,617,943,989,088,946,
604,695,204,474,599,914,344,349,683,771,588,247,132,882,916,972,044,731,908,
486,626,872,647,291,997,151,690,164,733,978,422,054,396,801,698,501,795,434,
275,674,035,563,269,708,028,158,124,623,942,492,127,649,550,681,053,821,427,
353,852,871,637,711,667,649,499,097,040,892,537,423,567,796,486,059,635,706,
455,628,701,774,358,789,374,067,888,936,720,324,294,784,815,830,661,184,271,
849,842,515,144,699,168,987,631,101,821,437,980,367,736,008,204,296,825,470,
617,744,661,462,220,140,996,947,382,419,864,861,523,726,601,180,158,737,980,
297,454,524,860,797,684,639,896,121,377,344,591,724,703,847,370,106,331,294,
553,991,352,421,366,007,517,317,028,870,161,241,656,283,858,828,759,647,193,
826,896,906,088,793,877,306,228,242,741,414,855,353,163,287,612,916,280,977,
314,447,956,067,247,335,611,961,462,835,191,018,252,230,240,546,122,052,079,
390,643,191,956,378,502,965,695,800,962,394,992,828,087,857,722,487,231,116,
264,901,331,371,869,933,059,025,657,063,139,359,826,689,655,939,285,823,780,
496,038,722,656,178,926,537,201,501,266,473,265,871,904,685,771,694,711,686,
743,526,828,736,479,115,284,272,101,750,832,571,814,295,103,153,185,508,878,
970,380,597,719,222,390,686,722,607,022,323,289,724,254,762,183,280,628,955,
807,452,125,384,922,262,651,459,666,398,291,542,714,327,289,526,547,854,615,
594,214,380,187,696,773,709,167,765,647,911,067,948,030,039,754,748,833,150,
911,470,118,519,308,418,131,781,219,800,411,742,072,825,802,874,432,873,415,
669,978,751,048,110,314,557,559,041,233,058,483,161,349,650,164,165,594,024,
220,251,441,041,147,675,342,385,016,292,067,409,858,397,795,339,969,516,935,
039,369,802,837,473,112,310,743,291,622,207,756,298,616,820,145,408,850,563,
645,734,996,424,202,518,199,108,958,662,473,943,243,833,309,086,546,847,075,
874,386,666,480,993,836,086,057,232,111,929,493,635,863,900,119,372,037,253,
374,648,485,889,373,574,810,276,740,706,103,881,265,788,613,079,028,834,132,
044,699,051,809,740,921,760,951,900,363,686,437,913,776,516,000,784,356,357,
619,119,828,822,545,315,425,012,851,031,780,383,685,237,122,417,787,305,857,
544,657,804,396,860,843,621,687,652,834,965,997,820,744,020,903,148,882,258,
978,805,894,424,743,049,002,847,917,294,592,983,811,049,177,470,230,421,954,
145,303,203,372,882,572,084,593,698,358,943,353,792,878,934,770,408,741,151,
580,874,211,223,758,528,628,070,697,900,126,298,002,431,050,639,500,534,316,
443,557,458,439,096,344,399,834,977,029,851,649,684,416,221,522,182,716,496,
885,373,622,446,222,258,908,983,112,194,729,594,433,437,172,702,366,291,919,
821,070,744,966,358,453,902,682,965,589,766,627,513,249,795,159,066,921,630,
613,446,147,444,561,395,337,599,912,173,389,763,032,769,142,488,575,996,426,
533,338,032,125,694,397,930,368,321,475,819,817,591,314,194,083,156,223,338,
562,215,156,336,317,193,211,060,849,171,838,397,163,201,076,369,126,704,103,
231,052,665,491,231,891,878,484,273,219,811,612,626,274,250,984,250,588,075,
579,593,712,079,583,173,679,674,164,360,430,277,923,183,200,313,709,957,662,
770,399,717,767,170,327,059,575,965,136,525,894,286,152,305,107,363,404,020,
931,708,131,257,456,062,552,456,807,718,400,638,810,251,579,219,236,640,908,
616,655,628,356,627,552,811,360,960,498,099,164,316,302,100,647,668,733,969,
310,169,044,731,345,430,262,492,582,096,209,975,614,833,284,839,308,868,692,
609,388,621,967,452,141,708,020,019,403,762,519,211,791,554,437,246,832,550,
595,928,981,848,070,981,956,129,375,139,951,973,830,107,909,361,724,967,693,
717,901,420,398,383,450,950,980,397,578,473,385,509,130,211,245,300,786,224,
243,109,264,477,142,335,313,347,270,669,626,397,682,434,748,048,026,322,808,
237,984,771,567,223,414,787,095,931,669,054,307,339,398,291,770,211,361,032,
577,118,288,001,101,016,294,090,500,111,379,147,013,807,380,684,533,664,747,
164,503,029,833,670,607,493,244,575,116,594,307,147,504,001,580,649,690,681,
611,348,285,979,035,362,978,892,202,683,557,726,178,400,303,823,968,050,311,
097,278,428,142,175,630,241,255,199,078,228,066,802,578,179,432,417,525,662,
263,447,202,463,310,875,455,269,547,244,870,435,083,288,051,826,390,604,975,
353,646,138,718,658,120,506,498,042,214,227,429,223,847,636,757,193,237,969,
559,689,353,605,835,102,572,567,029,195,835,819,384,570,746,624,671,196,571,
493,986,612,973,897,788,942,519,488,395,455,420,836,655,082,029,229,394,616,
975,523,051,240,572,604,712,597,560,310,321,994,502,162,399,241,269,694,525,
471,035,356,234,799,664,928,958,032,388,942,017,043,137,483,124,883,354,187,
285,782,611,863,071,209,921,369,733,559,661,022,136,753,355,621,648,367,934,
067,349,617,192,456,058,428,131,994,836,745,624,266,937,814,426,585,421,123,
448,620,176,446,432,063,191,341,175,118,639,581,556,271,154,185,549,776,932,
817,569,732,211,671,034,599,857,547,468,403,827,565,047,014,455,535,482,908,
737,018,955,966,081,518,119,708,253,370,398,407,357,111,906,045,046,876,157,
742,279,593,812,912,760,707,577,153,837,751,136,030,326,753,556,919,298,922,
349,282,311,916,327,174,934,805,645,007,279,881,644,590,184,617,246,781,712,
183,114,693,155,291,973,479,744,671,860,136,693,720,189,840,947,043,533,856,
746,490,135,368,727,794,558,585,477,997,559,228,589,237,329,526,029,246,699,
153,349,355,866,700,243,853,677,048,244,792,427,423,205,502,540,220,665,666,
805,008,003,549,719,500,912,924,885,346,962,271,914,527,589,715,145,621,571,
852,533,431,659,155,924,293,567,204,023,195,105,426,812,042,819,959,143,673,
924,456,215,747,903,794,687,252,982,687,542,539,982,337,606,851,318,185,245,
178,351,585,117,811,873,987,286,912,142,194,544,565,830,036,393,551,310,879,
807,627,250,432,661,212,465,844,050,459,616,398,553,197,740,869,292,190,571,
771,579,010,700,031,968,060,156,848,878,752,243,550,234,161,035,336,677,540,
013,654,688,318,877,239,143,344,402,109,876,493,925,928,687,909,376,521,182,
814,620,659,293,966,280,534,565,003,881,816,719,960,184,542,066,899,962,618,
637,624,167,123,386,951,459,770,552,134,100,324,810,249,937,663,325,355,760,
783,068,726,406,706,697,607,841,607,903,504,845,614,987,784,000,046,235,545,
313,242,692,920,899,950,467,518,857,290,315,368,176,345,709,199,111,460,812,
288,724,990,732,112,717,003,908,997,507,659,407,871,361,981,588,621,629,108,
764,854,575,744,886,560,939,929,373,392,821,772,614,603,088,043,003,265,408,
764,967,457,984,736,469,603,683,955,555,722,392,355,231,932,650,857,490,193,
314,970,485,192,664,906,457,604,943,210,085,983,400,007,830,069,902,917,544,
099,067,147,970,686,527,422,965,634,429,998,867,709,461,421,111,701,743,758,
031,408,483,117,939,372,445,158,892,581,239,378,401,454,016,208,679,614,193,
061,945,505,321,030,507,077,457,386,560,345,232,073,257,435,433,810,629,112,
570,761,289,950,777,009,061,933,211,343,107,523,148,239,515,553,505,200,550,
271,941,436,868,654,982,141,004,797,409,499,848,504,535,804,245,762,523,402,
957,653,447,956,529,150,874,257,545,090,824,128,943,435,679,701,802,950,278,
434,876,028,497,639,782,274,980,190,476,782,903,851,221,611,190,779,902,546,
039,062,896,854,752,032,035,477,334,154,984,805,661,719,245,559,234,457,619,
606,477,203,061,729,023,802,104,817,182,066,306,009,245,615,455,783,123,994,
815,737,964,632,515,677,223,927,806,312,418,035,244,665,571,384,847,770,263,
193,593,097,633,325,807,663,159,320,714,836,928,409,961,765,166,421,333,265,
245,675,663,289,929,351,488,120,849,188,500,195,293,994,524,168,874,642,208,
748,454,402,576,586,072,103,035,539,026,978,394,238,961,689,677,308,706,472,
117,184,066,128,971,919,902,422,711,334,102,560,509,924,159,864,024,075,337,
056,137,818,507,578,750,253,146,930,776,129,682,488,993,084,317,714,990,834,
079,025,480,421,821,559,231,694,482,226,878,284,452,857,495,279,692,836,548,
632,310,098,353,454,661,734,664,829,575,631,527,102,097,851,825,779,821,124,
099,261,019,530,326,562,968,616,220,793,702,009,852,065,075,921,975,863,735,
052,584,451,540,938,972,873,130,070,746,107,937,104,544,286,861,502,699,193,
133,626,760,778,535,352,210,931,580,694,711,197,877,435,974,658,309,209,130,
099,630,609,868,687,585,682,272,196,940,742,017,145,007,104,783,419,560,704,
639,939,966,882,358,204,462,281,242,654,722,365,293,781,153,006,751,876,636,
176,285,174,825,714,900,226,834,448,566,399,680,707,151,037,298,448,361,857,
230,535,715,142,785,696,496,552,210,435,955,200,765,155,471,644,742,715,960,
583,261,495,093,016,827,405,390,397,326,539,579,450,662,373,670,081,308,617,
690,706,009,187,398,949,165,371,161,067,834,303,944,907,717,111,546,641,500,
355,484,092,894,325,488,034,332,789,916,494,904,135,214,059,544,256,970,903,
017,401,567,259,217,350,754,006,794,923,647,119,185,278,073,678,470,192,152,
210,670,098,204,193,970,924,334,706,835,062,350,268,036,251,481,192,492,687,
009,947,436,777,598,758,972,254,534,530,913,810,509,612,120,951,068,983,216,
104,341,461,133,923,426,387,133,452,339,114,873,786,542,526,697,459,765,023,
081,872,755,824,692,795,809,661,342,901,972,328,610,706,859,687,221,604,455,
941,868,094,671,202,511,163,309,675,856,670,881,517,305,794,059,632,431,764,
047,176,410,261,743,207,772,162,680,560,557,424,259,259,876,829,250,211,251,
272,433,491,918,406,997,690,835,878,853,473,213,517,130,975,003,180,363,604,
436,562,421,095,498,348,938,742,713,349,528,417,238,219,520,559,063,451,010,
309,158,142,051,817,974,435,791,634,625,057,136,640,606,749,895,784,389,384,
034,357,573,087,355,451,355,805,534,118,811,979,273,114,693,144,005,014,152,
938,438,494,577,813,041,666,628,639,627,709,329,349,750,008,849,384,838,622,
827,628,643,208,108,201,927,480,289,115,541,113,981,897,857,536,362,489,188,
024,948,429,914,987,861,625,546,461,500,727,618,265,720,219,226,689,239,756,
360,319,434,448,641,700,394,557,637,192,325,313,765,048,368,770,956,296,818,
738,498,437,206,638,619,883,525,522,255,651,798,742,152,872,689,839,196,853,
329,785,825,632,737,628,638,983,753,466,183,545,983,759,828,851,154,897,729,
751,707,961,242,802,995,170,481,743,985,002,763,461,119,452,919,744,719,764,
476,299,073,740,959,278,628,766,987,641,772,422,825,202,502,520,370,143,328,
825,904,039,530,906,016,938,196,071,024,782,908,120,853,171,871,007,153,757,
861,780,788,470,128,849,161,495,126,608,463,057,126,324,213,938,999,177,311,
587,694,024,040,712,901,495,341,797,586,021,839,762,083,811,289,110,036,304,
416,112,676,616,518,232,595,771,685,353,558,668,475,059,407,881,995,324,136,
348,933,461,656,823,975,209,366,212,023,762,050,423,860,450,903,191,821,696,
414,047,492,206,233,251,946,108,722,639,986,578,917,959,211,337,934,018,167,
951,597,732,345,956,924,855,313,251,916,991,583,662,524,946,320,661,130,421,
917,558,893,464,767,601,425,877,887,134,394,017,115,864,725,918,345,228,330,
309,648,514,726,159,370,294,119,569,549,061,739,051,699,046,069,088,640,980,
905,902,584,626,330,658,331,462,137,946,099,870,061,593,954,221,823,138,422,
074,513,768,533,240,191,467,094,199,853,787,444,709,006,081,102,231,229,129,
404,694,802,224,351,776,708,604,626,039,644,622,200,933,928,438,047,464,318,
989,312,097,341,891,800,020,061,242,101,923,906,226,808,184,140,760,040,158,
891,481,788,151,273,569,142,185,674,970,777,715,099,145,416,920,262,917,852,
478,314,467,230,041,056,025,222,088,280,053,315,031,246,392,013,063,722,592,
742,241,743,285,074,641,220,209,625,619,188,774,290,258,420,737,270,086,733,
574,555,525,948,398,562,785,362,124,154,765,292,552,731,945,852,697,403,621,
024,063,559,154,983,041,664,011,322,564,881,028,237,716,679,166,914,742,465,
817,778,266,028,446,057,851,895,331,952,189,414,435,646,524,717,332,469,270,
591,918,032,863,234,312,270,402,428,889,046,759,918,721,765,039,922,048,447,
648,206,375,554,617,922,050,881,634,343,198,470,973,134,121,272,305,486,210,
134,318,542,192,307,547,791,786,881,656,681,281,415,277,512,328,831,083,188,
663,534,062,423,426,750,258,217,687,413,322,731,152,016,906,750,911,899,107,
596,286,824,304,544,929,072,385,917,251,519,064,381,148,357,312,376,225,192,
754,091,882,746,570,352,426,369,158,276,629,468,234,641,754,849,844,579,367,
576,293,442,438,500,436,289,436,078,366,816,915,921,293,290,946,799,486,873,
213,179,246,385,246,160,103,639,891,717,227,795,537,782,289,298,855,012,940,
897,829,018,018,868,543,797,532,826,965,324,540,448,739,326,132,648,161,507,
567,437,114,857,676,743,231,033,420,806,878,327,418,147,260,894,923,468,214,
348,468,573,596,028,744,081,819,731,908,646,072,774,001,428,462,062,349,699,
060,544,191,403,390,101,353,692,390,199,532,876,151,636,870,067,326,909,686,
039,900,517,089,329,704,588,029,800,997,881,049,035,694,404,771,218,034,548,
442,986,952,784,579,898,342,193,232,664,593,840,840,561,386,530,313,525,964,
220,954,923,192,849,529,875,060,546,147,466,612,096,642,188,316,805,192,755,
962,587,534,888,038,847,379,461,106,394,052,205,803,283,551,206,302,538,533,
533,829,109,243,042,708,659,001,789,049,607,159,300,640,107,801,143,611,997,
832,496,225,047,870,874,269,109,625,671,236,936,157,235,832,527,705,533,297,
384,529,059,806,989,064,393,396,144,496,465,900,705,134,293,718,998,861,260,
613,835,728,927,083,273,605,415,912,757,233,679,120,719,511,037,346,857,405,
177,461,812,808,539,000,653,390,270,837,486,144,067,984,464,597,753,496,736,
279,660,300,927,127,273,568,806,966,552,049,834,571,603,102,962,028,763,178,
411,191,301,080,730,520,348,966,132,813,058,135,029,847,398,704,595,420,098,
154,255,324,398,424,996,026,170,942,029,285,670,806,495,690,023,111,846,854,
503,742,005,533,525,835,420,367,513,584,848,272,323,741,694,369,609,611,012,
773,304,738,431,201,068,112,933,719,701,894,276,972,686,138,935,671,666,950,
459,474,007,511,729,484,840,340,824,348,851,880,904,407,498,269,031,608,087,
869,269,521,580,089,198,230,896,186,133,018,544,231,191,762,351,160,994,776,
227,182,251,816,270,940,590,655,372,663,982,441,149,624,867,530,800,226,269,
399,721,317,686,887,785,763,661,387,278,945,873,003,090,602,280,938,129,238,
139,501,545,175,654,250,046,831,702,663,451,181,322,092,541,512,188,774,740,
899,382,011,747,799,122,652,392,026,615,265,944,975,975,507,975,700,649,932,
985,526,153,941,647,212,139,568,009,469,135,988,413,589,332,878,717,130,486,
282,764,327,191,136,574,624,181,242,487,188,852,398,836,363,142,067,413,523,
832,321,626,013,744,359,319,504,369,267,058,388,932,433,739,232,980,495,688,
252,847,801,152,310,858,834,695,462,867,124,904,934,539,902,151,000,421,827,
185,685,633,295,472,507,604,487,483,611,604,484,562,919,448,478,896,279,992,
902,949,313,231,458,841,578,971,895,528,017,481,185,126,888,875,950,006,092,
527,443,636,624,863,076,919,969,684,302,949,502,358,549,622,518,851,872,102,
306,166,239,962,810,792,664,616,280,694,781,914,112,760,389,148,523,332,214,
852,738,223,076,471,050,981,687,392,808,414,152,207,029,786,638,902,252,145,
783,507,210,533,176,129,963,136,197,372,475,096,149,963,539,821,039,998,968,
361,409,578,872,107,417,798,336,212,820,426,775,980,689,337,203,291,102,936,
038,440,075,999,749,471,493,114,752,680,858,137,219,868,049,112,414,832,324,
949,597,619,552,395,673,855,229,878,900,845,329,131,841,939,809,747,159,985,
609,565,168,164,345,502,835,262,779,753,411,782,315,966,122,787,359,042,203,
052,117,281,025,925,289,303,601,409,531,813,763,699,704,546,224,858,515,419,
732,163,791,340,905,004,934,956,561,647,988,028,064,577,101,884,201,688,060,
758,313,028,894,030,588,755,730,623,479,548,274,173,790,509,306,503,928,403,
125,676,878,552,210,729,526,425,725,373,337,233,279,673,167,169,227,635,540,
012,144,592,558,201,246,059,268,795,931,285,371,275,826,303,789,049,583,426,
364,713,238,921,854,287,999,216,128,832,408,744,707,135,885,115,165,826,985,
915,461,689,655,993,989,525,537,114,356,017,365,387,190,445,038,391,066,455,
784,634,033,311,011,742,942,559,307,087,215,973,862,950,369,652,625,221,686,
958,560,584,167,881,378,348,746,814,728,970,328,377,349,410,580,940,035,431,
561,739,675,105,899,466,659,872,985,519,781,871,233,681,235,642,383,105,443,
153,795,527,595,676,452,509,467,164,974,874,647,462,496,119,527,074,143,164,
141,888,466,070,407,737,174,495,890,284,027,381,853,249,584,516,021,633,159,
733,774,445,877,404,423,414,820,397,892,456,967,743,176,926,008,363,202,389,
856,771,148,628,320,935,937,551,805,493,449,581,993,721,717,922,620,880,807,
131,939,077,368,192,827,725,674,992,340,356,904,659,641,110,135,371,544,417,
129,102,898,032,178,455,456,401,972,757,068,037,900,294,891,554,883,103,055,
937,034,575,424,467,964,905,126,994,496,792,072,052,179,638,376,130,658,382,
341,369,439,907,733,578,961,690,319,380,649,102,626,540,683,422,687,425,828,
648,872,862,395,084,032,820,487,918,942,935,085,049,318,701,110,219,273,865,
176,596,483,494,152,679,181,463,424,642,794,321,228,101,159,521,268,765,827,
253,983,247,850,108,344,219,714,267,298,289,489,965,343,236,634,074,950,733,
776,323,399,619,663,136,303,120,176,488,307,906,522,620,846,847,743,973,470,
002,065,574,672,220,640,269,679,705,715,322,618,261,660,706,051,427,903,238,
317,985,598,765,149,906,848,761,598,041,928,898,901,739,968,121,387,358,640,
053,285,836,087,383,198,851,774,359,003,544,982,699,525,050,185,019,354,176,
964,539,037,764,625,857,263,001,362,609,158,784,553,169,830,930,031,075,303,
128,128,507,067,604,340,027,426,486,093,044,601,332,939,290,572,663,966,675,
007,344,081,463,275,447,517,163,369,839,624,572,086,971,690,570,991,957,720,
245,836,259,913,141,145,266,839,555,481,342,385,551,880,612,630,273,796,015,
409,868,971,249,447,331,489,230,825,922,097,326,518,601,263,419,283,962,661,
258,659,602,468,857,335,072,370,695,864,669,819,994,932,914,522,000,652,378,
939,665,452,470,684,457,471,195,986,689,510,420,755,240,028,027,899,234,606,
730,046,508,484,084,500,250,172,489,788,692,418,617,249,769,496,200,047,112,
566,135,905,856,402,345,301,241,894,177,343,649,456,371,618,133,362,936,489,
657,027,845,567,696,107,386,142,279,415,816,199,761,014,745,231,918,596,415,
883,754,400,779,844,109,662,315,927,444,936,064,844,705,690,706,255,151,935,
205,514,889,335,430,952,429,721,322,564,766,697,471,614,948,464,429,465,544,
797,285,750,386,251,673,067,940,266,513,360,297,035,799,483,642,319,402,870,
910,825,629,992,581,224,202,904,620,726,747,583,931,834,292,107,405,743,526,
924,187,209,401,653,165,986,881,179,039,889,898,988,036,631,519,944,180,610,
552,943,561,551,890,747,286,488,304,711,323,347,068,942,490,058,667,059,985,
184,565,210,822,072,186,591,495,607,101,453,227,617,712,975,730,476,615,186,
821,514,124,847,480,146,489,994,125,129,521,310,255,794,924,219,223,705,836,
142,446,847,067,715,335,183,724,945,142,077,362,362,702,006,730,340,098,036,
432,855,419,994,491,347,876,721,965,042,738,060,789,999,093,983,120,667,247,
251,689,016,096,216,143,410,523,742,050,380,557,515,307,314,474,300,123,365,
997,785,842,054,806,131,455,511,208,669,658,317,191,595,471,105,901,339,161,
889,143,370,516,063,305,624,292,628,371,236,246,478,536,405,133,498,889,482,
156,453,729,308,091,469,816,397,466,822,749,957,580,511,802,911,896,390,409,
592,332,677,477,226,914,536,126,243,172,460,005,099,381,646,681,224,234,195,
364,846,252,214,418,904,096,173,352,888,105,417,898,203,952,573,674,707,728,
478,458,758,803,963,734,654,191,919,914,184,648,501,896,039,998,702,302,767,
008,117,025,520,460,043,016,602,459,947,886,385,432,384,730,183,412,905,860,
755,089,444,646,607,968,680,055,321,110,558,005,183,406,140,768,084,843,254,
925,487,789,348,950,250,602,284,168,722,420,868,366,803,410,577,146,005,803,
449,525,916,648,116,857,632,081,702,021,981,675,404,851,599,296,017,040,968,
603,001,752,085,719,021,080,324,979,209,851,786,870,965,164,930,296,728,226,
862,936,352,298,290,984,488,567,438,412,900,988,076,115,866,044,346,193,799,
985,784,657,436,384,424,304,002,242,311,818,290,544,776,539,161,781,327,664,
798,231,692,808,018,557,786,311,216,209,232,038,431,116,881,853,356,258,536,
099,706,561,845,152,287,828,472,798,569,316,284,236,149,330,474,111,703,852,
448,116,430,217,535,472,841,623,292,049,871,367,832,497,942,784,800,035,496,
375,354,937,493,796,986,559,166,436,578,105,219,817,666,150,074,992,096,527,
965,487,561,927,782,680,154,769,538,548,767,445,149,959,556,977,016,484,215,
732,519,245,052,844,882,978,983,276,929,583,900,640,088,901,382,876,303,460,
318,729,177,711,852,075,106,306,425,229,849,234,432,706,880,483,817,416,756,
648,901,304,155,324,125,598,404,979,143,960,262,200,333,323,179,640,954,013,
811,154,892,889,154,491,040,828,768,738,958,419,493,704,536,936,962,280,963,
759,803,938,371,017,254,081,491,761,659,339,297,239,160,572,881,185,248,734,
382,161,749,264,613,831,917,050,672,086,626,136,922,231,964,754,128,993,251,
402,237,895,957,664,448,155,219,333,840,855,763,591,764,139,009,688,805,902,
997,880,782,476,435,830,452,988,893,996,440,701,354,798,651,633,156,741,872,
385,307,242,539,909,915,188,175,832,260,923,285,111,540,689,442,983,946,681,
517,743,150,140,610,253,421,996,016,226,471,015,529,666,699,947,271,713,273,
796,921,990,860,782,456,620,600,826,897,379,193,188,548,822,738,438,417,528,
756,950,810,183,546,838,714,436,164,177,201,999,801,414,208,336,084,056,955,
650,360,715,485,101,649,490,513,381,814,726,472,262,672,272,659,900,359,459,
900,238,660,885,953,471,849,274,926,254,271,591,029,450,002,123,069,525,410,
410,585,271,880,269,537,695,990,148,825,358,592,391,566,197,671,923,456,690,
647,279,961,515,395,117,853,267,121,049,652,738,780,437,389,771,720,350,634,
541,219,399,947,685,830,997,297,267,529,368,114,078,773,478,973,704,165,286,
996,908,319,846,635,365,954,747,619,460,769,135,618,306,363,515,448,019,426,
381,264,882,273,175,949,840,119,055,099,534,566,272,798,254,036,935,058,652,
739,161,859,196,110,532,611,145,514,855,473,742,533,863,172,280,766,415,313,
530,915,802,266,878,325,694,622,168,727,135,752,603,034,860,175,945,905,383,
477,961,041,402,532,662,945,096,704,546,438,585,379,554,862,022,948,851,182,
822,110,631,716,317,615,851,314,985,754,776,227,048,553,777,502,718,027,152,
940,592,747,013,082,236,967,926,777,433,652,783,709,043,909,934,324,134,862,
358,336,312,494,962,646,225,141,333,509,053,936,707,453,375,213,494,603,794,
384,632,831,286,313,846,507,210,637,800,477,799,419,358,870,457,486,631,905,
354,330,643,002,464,515,829,704,821,046,368,434,259,608,832,527,239,519,840,
988,597,355,078,738,435,291,775,220,024,538,568,117,510,996,967,341,924,937,
904,224,595,345,600,259,299,055,485,181,361,286,091,786,894,562,488,780,232,
131,046,700,323,258,386,170,020,114,733,116,933,138,632,465,868,051,929,443,
334,978,492,632,258,670,735,868,871,363,405,231,342,267,378,564,993,068,091,
284,429,746,827,098,900,331,699,824,293,967,616,017,863,379,050,647,320,064,
430,902,105,260,214,197,056,247,740,791,171,771,536,120,607,634,331,931,769,
270,486,578,949,429,588,468,555,333,514,203,277,981,665,474,254,479,086,711,
517,826,360,582,849,748,612,222,944,988,495,542,108,652,444,443,688,420,004,
538,433,584,656,264,491,882,126,001,306,712,354,624,255,859,633,896,414,736,
382,398,177,451,053,785,815,727,909,804,785,054,909,064,159,658,766,874,615,
239,611,201,545,783,179,185,919,274,788,095,325,157,949,919,989,168,894,261,
118,712,376,669,141,766,846,707,719,989,891,945,048,512,564,437,967,005,391,
769,328,547,545,055,530,521,249,772,713,982,718,729,187,109,223,726,266,911,
929,699,980,052,098,196,807,708,978,627,794,639,130,085,654,249,288,534,750,
257,620,591,294,082,304,751,633,104,683,375,825,802,680,676,796,842,366,690,
223,379,538,645,619,332,528,770,526,722,053,669,274,228,804,811,324,981,075,
390,162,035,003,390,628,437,125,571,702,903,193,297,438,025,652,019,673,341,
185,137,585,711,666,300,164,041,803,315,653,568,712,196,367,798,425,453,236,
992,216,173,006,188,255,317,104,882,264,986,289,379,455,526,498,591,082,037,
045,782,424,640,085,047,102,796,833,402,540,063,394,871,594,033,578,483,440,
399,145,901,505,980,890,021,309,709,045,803,713,778,554,754,345,888,766,706,
806,778,091,796,832,438,506,547,511,306,367,137,199,017,229,215,289,978,919,
321,185,313,779,932,462,099,893,143,116,934,012,793,005,120,378,350,477,951,
241,594,432,542,757,565,892,999,816,702,872,380,203,164,773,741,609,724,724,
115,574,327,321,795,292,458,968,549,793,058,475,060,834,419,629,137,468,812,
455,731,084,409,959,488,054,760,739,522,020,346,038,053,427,325,361,336,839,
945,916,285,498,010,942,462,223,166,479,914,196,450,899,400,278,078,914,415,
588,486,212,266,815,802,301,818,730,640,169,077,104,518,823,712,263,082,085,
198,563,154,273,001,423,257,645,831,705,128,506,382,553,925,361,351,741,845,
721,384,068,655,482,727,120,736,754,394,745,160,086,723,833,277,869,160,440,
374,999,387,624,721,478,047,195,603,277,575,433,618,343,121,745,645,510,438,
661,852,300,327,495,059,164,913,324,040,460,630,784,888,678,719,901,128,447,
582,875,229,651,769,268,259,781,786,694,154,994,629,368,312,583,562,561,520,
400,638,018,878,706,630,652,736,664,592,272,616,518,809,889,765,820,940,653,
936,891,093,530,128,227,855,258,464,969,238,623,697,043,534,186,951,961,168,
898,038,072,730,023,977,898,107,629,516,968,077,132,681,381,590,840,619,886,
202,764,765,705,562,923,506,814,200,536,193,746,391,972,558,615,609,754,198,
247,116,869,731,351,803,427,856,191,822,144,145,114,498,448,205,391,560,025,
489,251,967,362,368,781,243,631,860,854,153,654,223,657,962,628,234,595,374,
936,870,342,764,801,457,441,948,822,360,211,661,774,223,132,840,455,156,088,
428,423,026,755,287,270,086,970,781,839,669,251,150,703,270,206,365,869,527,
794,737,312,600,508,049,767,559,796,260,624,091,323,574,650,048,179,240,844,
994,144,189,213,853,057,639,763,357,956,065,388,829,209,117,976,331,701,829,
889,860,133,527,531,088,235,733,953,983,010,575,627,977,172,226,540,810,210,
373,465,347,374,879,394,553,424,817,332,949,636,327,145,129,862,144,555,173,
954,439,936,842,014,419,599,516,384,366,433,184,461,475,478,758,065,391,317,
113,043,545,849,279,729,764,647,375,156,090,216,219,990,903,121,387,457,472,
379,904,714,390,418,488,024,790,544,126,481,562,087,813,755,115,057,941,923,
110,190,638,111,735,299,177,198,624,106,802,274,316,408,637,188,187,716,777,
047,500,025,885,700,296,141,129,309,742,088,452,348,415,776,968,435,101,423,
282,008,960,903,461,654,184,619,957,945,139,199,234,626,613,284,245,199,873,
498,308,226,388,191,594,383,496,660,929,594,008,608,110,766,338,056,863,466,
832,178,580,148,448,970,914,404,307,481,781,197,447,746,292,823,875,353,049,
097,938,958,125,448,409,305,384,183,305,718,347,410,574,224,987,693,771,794,
083,632,582,108,112,688,312,527,948,845,358,892,491,117,293,696,789,028,408,
088,888,328,931,529,645,859,079,664,157,359,279,046,636,231,812,183,612,787,
738,275,218,370,418,918,918,814,473,145,821,907,685,836,970,895,319,722,737,
959,312,761,193,339,729,325,618,207,723,604,318,554,735,745,571,348,845,096,
125,651,834,754,767,142,997,894,160,941,863,369,187,232,754,183,380,289,791,
601,022,149,791,688,400,074,712,417,247,139,775,594,286,121,159,100,140,280,
366,493,609,548,851,501,082,288,304,531,157,934,778,760,366,657,657,313,248,
514,196,792,280,951,230,106,094,571,256,627,190,486,679,046,101,864,066,200,
969,497,876,309,249,390,672,930,253,478,968,077,179,484,016,474,461,048,883,
208,579,029,029,631,297,421,487,325,977,917,550,368,441,344,646,688,843,783,
743,277,980,964,985,746,885,082,005,341,915,867,113,136,928,555,237,606,858,
686,067,579,510,325,411,909,846,465,324,926,788,260,498,749,643,101,465,333,
361,094,284,918,998,915,493,232,379,874,891,106,475,580,100,413,175,942,100,
051,149,649,874,931,550,559,579,397,647,827,084,281,150,098,868,878,916,176,
720,335,193,999,827,247,141,594,893,042,160,268,152,670,619,917,590,343,458,
414,328,852,006,657,888,446,355,202,384,597,095,788,873,286,472,495,771,311,
683,715,924,720,448,447,767,266,308,390,274,398,054,125,362,249,323,719,017,
459,560,735,800,580,463,919,441,955,473,411,778,539,863,995,538,574,244,611,
512,446,511,027,966,991,339,729,871,851,561,660,455,905,422,496,753,907,887,
911,122,028,283,348,436,527,499,970,995,372,740,156,413,434,019,636,316,161,
938,595,743,538,267,909,483,752,135,441,365,926,282,277,201,173,340,229,046,
146,053,028,487,965,166,688,741,922,007,482,337,604,453,443,640,630,125,534,
300,228,180,322,305,143,277,848,613,338,404,301,174,601,819,177,326,981,265,
823,286,346,340,636,347,375,574,327,194,136,374,935,164,869,041,150,764,359,
350,510,702,683,663,221,766,927,898,756,160,199,818,992,091,973,817,665,714,
530,171,832,610,999,036,721,804,529,982,259,987,010,373,253,842,566,758,052,
983,817,524,546,027,759,282,153,665,734,057,249,782,851,959,022,592,382,385,
280,550,467,498,203,282,374,328,402,388,765,395,478,516,906,635,959,802,825,
087,114,130,923,151,825,045,285,880,506,332,371,039,714,938,026,032,096,910,
740,656,380,694,261,798,063,735,761,831,121,475,226,980,082,971,920,189,568,
902,552,589,139,584,609,264,586,636,842,668,152,689,385,176,512,145,267,468,
775,889,966,058,934,862,399,431,457,830,873,631,626,296,327,291,259,979,272,
818,884,274,828,926,403,232,988,557,319,438,987,764,988,054,176,586,084,526,
785,262,307,037,234,558,521,604,891,046,303,084,762,604,078,009,977,005,279,
849,013,992,385,907,608,613,590,420,581,575,041,022,503,487,448,215,065,675,
263,723,018,526,129,201,271,141,008,250,343,357,600,466,521,289,085,661,108,
281,688,667,031,003,164,396,689,914,714,356,056,537,956,125,030,614,707,258,
536,969,700,170,053,063,050,788,921,536,864,473,690,041,364,571,778,774,100,
317,143,392,950,312,208,575,515,759,783,518,566,192,163,528,101,659,057,765,
755,013,948,562,709,840,959,728,590,945,675,267,858,835,625,902,611,514,751,
813,218,324,041,730,807,835,030,112,637,879,898,096,812,542,723,870,835,373,
462,258,668,747,212,056,843,983,529,960,937,623,631,596,183,184,464,590,087,
455,806,677,832,455,000,716,775,202,766,686,690,639,944,337,297,017,709,370,
833,934,485,812,516,703,201,398,881,579,343,297,088,803,989,833,082,317,082,
448,763,028,303,948,441,599,878,598,689,376,557,311,685,634,366,774,622,592,
345,966,315,882,404,466,416,607,925,213,148,914,571,906,127,245,666,533,159,
579,759,724,001,626,043,956,050,765,757,145,967,172,389,007,317,645,040,641,
959,862,833,683,167,899,800,846,228,513,690,470,993,341,110,515,136,334,079,
430,534,244,476,926,980,889,522,088,397,343,174,759,344,296,486,453,733,935,
956,597,648,826,845,560,363,637,486,038,068,279,810,567,471,590,470,872,339,
821,929,882,370,057,941,531,363,017,344,471,758,647,023,041,149,780,319,131,
508,117,803,778,253,602,876,761,854,264,260,715,168,435,637,466,438,635,967,
341,708,348,245,286,258,506,572,380,473,861,396,043,779,660,758,786,734,454,
752,711,872,926,241,343,830,947,105,616,359,292,278,089,179,708,733,893,133,
249,768,142,661,496,091,199,036,358,169,648,789,120,459,378,908,556,843,795,
342,393,102,477,592,415,808,220,376,581,443,060,798,895,364,931,775,921,094,
922,692,847,770,221,714,280,387,259,227,554,750,804,553,477,249,995,321,692,
126,515,158,012,012,656,167,460,658,019,658,837,151,862,704,037,819,016,912,
445,095,339,495,810,529,555,198,749,949,651,403,918,672,224,978,077,065,209,
358,673,964,859,449,160,705,068,270,342,245,823,009,295,276,406,499,159,537,
037,047,463,804,718,722,862,718,637,636,207,584,914,846,409,198,932,027,295,
448,251,249,090,228,047,218,110,844,786,345,588,748,891,565,041,396,448,240,
193,575,453,748,509,062,641,622,595,732,635,950,950,641,126,368,750,763,876,
322,351,579,904,259,978,869,685,022,468,944,244,543,281,300,583,554,533,637,
001,680,200,912,155,620,682,709,105,503,476,994,894,323,392,928,826,353,547,
674,495,795,943,046,946,826,879,329,786,802,159,892,420,322,052,268,338,322,
211,235,267,972,306,694,900,605,630,152,833,341,730,389,802,167,969,289,352,
954,265,416,967,756,385,306,838,290,247,398,935,591,039,532,876,158,258,405,
198,716,200,949,364,675,426,998,253,255,908,145,808,290,633,687,663,381,958,
304,709,467,239,690,831,284,695,059,174,077,478,750,066,536,753,789,273,389,
534,926,544,034,200,868,463,065,714,095,380,412,242,231,140,198,304,180,965,
438,088,548,103,980,259,742,903,389,678,038,134,543,119,208,670,928,427,481,
749,310,183,711,174,516,487,173,409,023,277,468,761,273,815,795,944,807,166,
693,106,217,699,515,189,676,151,900,883,168,701,615,366,398,896,758,294,949,
427,709,516,138,654,052,235,078,804,338,505,496,998,483,595,086,293,588,814,
438,097,386,664,977,814,279,790,377,581,930,433,104,881,229,964,922,315,724,
102,031,268,886,719,204,983,206,436,016,047,822,535,065,332,990,313,688,367,
849,311,953,054,940,119,799,550,533,967,099,580,259,644,558,397,197,654,661,
363,479,915,237,412,564,197,875,678,168,377,167,077,138,504,308,297,949,231,
595,484,529,177,919,982,184,761,695,339,057,336,422,509,979,025,214,627,428,
225,004,831,352,872,364,326,543,868,184,109,140,264,933,381,943,875,164,214,
575,186,615,940,863,943,472,566,367,064,685,325,131,720,113,474,643,951,067,
846,698,120,930,763,792,160,778,717,970,565,673,767,384,312,432,996,450,734,
011,408,043,998,749,453,922,523,583,036,744,425,119,874,325,365,299,449,327,
284,989,326,898,443,865,573,988,447,631,639,356,860,557,624,377,261,999,722,
742,905,727,440,542,025,559,108,258,925,090,935,890,457,665,316,014,312,770,
378,050,767,191,083,907,854,793,132,460,211,622,830,934,885,561,870,263,355,
784,154,170,511,702,511,001,069,819,846,735,619,608,806,438,887,382,399,659,
415,523,355,410,302,045,577,915,243,011,021,123,225,296,081,711,809,731,982,
801,502,243,769,850,786,497,450,846,915,673,493,082,120,406,886,392,427,118,
855,964,627,738,063,715,531,731,286,147,989,598,103,077,297,433,576,051,104,
483,036,412,206,401,469,066,311,132,615,385,522,161,233,278,728,959,275,795,
356,624,570,643,426,364,372,213,835,974,019,263,894,807,701,682,379,630,259,
186,400,463,844,299,700,689,223,653,795,447,323,817,062,776,918,963,772,386,
869,149,948,741,355,544,103,533,683,445,092,970,385,761,274,119,333,814,145,
748,419,636,609,051,927,333,285,473,236,605,010,152,615,563,610,520,699,813,
838,919,070,621,574,329,927,495,591,075,322,108,317,980,848,527,483,504,763,
307,861,260,854,135,578,752,416,691,987,438,069,440,432,817,889,249,567,266,
228,190,864,360,001,338,524,071,522,708,665,550,544,359,598,633,918,004,994,
313,398,903,875,616,422,785,351,819,068,881,170,797,844,101,842,748,373,971,
047,002,951,540,015,015,206,348,269,222,462,113,426,277,669,459,521,201,972,
146,991,287,559,886,944,712,314,061,059,982,167,756,847,066,006,624,487,354,
416,551,882,738,027,859,820,062,400,918,754,842,407,144,468,468,126,529,097,
112,294,191,568,817,853,229,309,585,276,790,144,643,150,196,536,494,810,575,
355,624,947,492,695,959,934,982,237,667,199,144,166,698,298,394,518,616,724,
344,432,608,816,102,226,939,352,793,278,744,913,770,536,778,197,293,437,072,
153,431,681,252,359,763,531,369,605,798,333,813,669,018,632,801,737,273,373,
913,129,085,917,678,581,713,716,172,969,419,926,742,341,268,157,370,680,079,
642,794,111,028,011,753,301,624,931,161,585,961,482,036,738,443,907,235,266,
907,686,896,117,854,845,807,879,538,094,831,771,486,839,817,819,984,642,221,
597,758,047,460,738,994,327,035,571,885,300,003,180,964,258,090,635,932,448,
793,115,532,366,770,717,992,505,120,834,582,636,179,197,687,443,577,510,759,
903,084,181,740,539,985,918,757,411,461,004,833,876,785,868,457,796,240,730,
972,783,843,893,769,508,788,962,518,786,978,970,546,420,674,917,575,449,793,
502,612,537,172,042,515,101,904,589,465,693,850,644,384,933,214,812,221,970,
297,531,878,505,199,968,967,412,537,218,206,904,239,922,728,154,835,229,917,
128,650,205,418,821,954,698,490,750,947,505,542,170,929,266,888,247,025,322,
432,982,636,650,867,857,708,315,152,162,101,609,151,523,601,772,429,011,542,
194,640,986,800,209,177,620,984,072,520,493,707,741,870,584,360,531,521,392,
046,131,763,540,830,455,470,267,431,368,277,477,493,167,842,412,138,396,881,
715,838,819,566,145,579,966,355,973,365,765,296,596,776,633,407,989,220,625,
731,451,933,576,885,846,620,380,402,904,088,132,902,212,349,712,077,787,405,
941,523,899,863,252,227,330,342,998,801,609,375,384,545,559,201,331,456,959,
888,670,793,581,447,242,590,704,072,828,949,421,827,328,960,079,170,051,372,
153,393,083,387,121,371,073,970,276,860,896,743,778,289,244,968,498,118,635,
672,953,065,735,533,881,628,506,162,085,508,695,860,505,163,867,242,574,929,
686,932,361,575,417,188,330,418,568,432,547,548,241,336,999,000,527,377,749,
393,980,789,466,197,114,507,187,896,798,292,514,205,706,779,195,490,913,462,
590,634,607,591,495,919,663,979,989,078,203,310,517,406,110,184,534,966,048,
916,310,536,033,018,895,101,112,318,567,425,304,872,381,227,906,505,744,526,
045,779,990,813,225,616,365,964,171,175,547,324,361,526,399,022,875,381,620,
553,980,159,971,830,204,131,329,297,060,177,942,440,245,764,320,303,662,915,
205,743,139,046,937,244,793,450,252,651,584,342,941,076,323,739,852,720,200,
244,617,194,766,541,006,168,190,002,715,804,778,252,226,409,176,285,165,618,
838,359,607,276,629,547,694,415,526,593,767,107,002,628,293,554,434,887,509,
075,320,829,230,383,127,820,945,847,603,426,979,402,316,405,426,966,835,027,
391,070,341,300,713,924,162,970,039,626,046,989,496,353,169,120,967,786,425,
125,172,698,316,853,913,808,358,520,359,786,896,215,528,924,218,524,545,522,
394,250,875,900,265,197,641,642,785,175,367,803,664,487,462,596,847,486,549,
629,714,776,439,079,070,369,828,592,133,376,428,920,963,657,910,091,729,827,
366,789,878,529,717,196,274,306,301,899,475,181,825,388,825,799,896,011,083,
640,442,561,779,266,965,742,941,615,009,062,222,386,608,212,113,851,406,977,
269,392,046,373,368,923,040,469,703,685,042,337,095,429,268,273,538,715,452,
481,202,505,909,545,493,092,584,030,754,664,913,442,323,553,191,429,585,276,
896,165,864,767,158,267,161,275,887,325,919,254,100,349,227,520,949,786,881,
323,521,590,698,982,588,360,428,488,167,619,556,092,189,667,004,632,950,959,
103,377,139,726,892,172,839,496,879,270,693,938,247,340,617,402,239,478,071,
437,733,432,785,569,895,913,936,751,856,075,336,946,920,864,809,181,358,638,
809,517,260,932,006,533,306,850,096,330,543,724,307,633,268,733,962,226,238,
962,128,616,480,739,552,440,090,593,001,222,641,639,835,065,166,986,287,188,
661,542,346,611,431,861,382,308,615,811,763,442,879,671,217,865,690,757,338,
078,567,778,474,568,693,869,247,480,289,892,600,162,376,812,755,389,103,888,
848,199,123,943,159,171,808,861,295,941,138,523,120,938,871,497,916,148,904,
378,873,537,119,874,255,475,677,837,836,608,994,603,731,405,373,383,671,511,
115,734,533,860,595,675,703,572,507,153,209,721,138,521,252,477,077,702,526,
009,135,218,837,109,267,412,171,136,318,552,837,770,830,055,946,692,237,417,
119,593,104,905,423,929,098,546,077,781,033,088,502,089,679,249,675,637,102,
514,961,854,724,122,407,355,558,964,456,233,371,679,361,595,785,175,425,286,
950,808,343,978,874,892,380,520,474,672,389,503,849,221,500,860,738,563,890,
918,713,106,885,879,188,229,713,271,495,339,722,237,601,686,269,196,143,197,
307,541,344,541,224,203,312,251,983,176,428,882,179,182,464,455,324,884,371,
338,951,698,085,363,868,951,934,463,099,071,941,955,156,904,509,532,548,124,
597,031,842,674,787,676,615,349,589,271,032,542,903,406,798,478,001,098,269,
609,925,210,754,151,481,948,192,611,877,486,399,507,545,328,343,931,262,118,
948,637,983,024,419,827,037,552,898,214,207,189,482,117,993,696,312,315,709,
062,330,816,631,437,195,844,660,432,018,744,110,559,782,257,979,006,801,165,
936,526,992,592,281,525,251,245,201,694,711,454,748,137,391,031,341,553,002,
529,259,245,515,051,708,315,515,488,911,496,746,021,238,709,866,635,989,945,
281,062,047,688,813,117,146,561,111,553,578,679,124,102,751,225,253,574,389,
477,948,645,280,366,339,049,711,069,395,679,226,222,076,103,713,787,885,328,
784,582,811,237,894,047,576,332,690,337,870,474,080,884,601,841,335,986,532,
720,018,880,120,183,448,781,356,583,037,846,432,000,731,465,238,528,988,924,
191,162,516,803,914,359,553,059,629,240,657,734,338,547,391,689,770,818,594,
948,269,575,938,905,333,086,599,450,342,285,039,884,838,326,502,665,761,645,
693,087,990,284,258,604,357,807,864,163,775,530,529,315,895,272,821,474,433,
537,515,088,590,321,891,969,539,986,703,507,963,621,599,859,158,166,367,290,
187,378,668,839,068,266,602,528,556,808,587,326,216,625,434,587,462,549,036,
286,557,762,154,901,262,022,697,580,809,288,486,483,846,278,785,168,626,275,
546,121,038,305,024,028,026,097,954,203,980,373,051,974,101,591,971,744,913,
558,315,826,871,355,540,979,457,798,440,805,889,999,470,030,069,248,205,689,
398,738,496,754,567,645,444,040,551,195,533,032,632,357,986,586,348,097,208,
593,769,643,586,711,392,045,080,801,674,926,789,785,258,897,385,682,949,862,
671,310,490,353,914,375,468,459,896,362,499,294,957,080,595,364,822,538,227,
402,225,705,492,462,772,797,080,726,566,641,666,594,506,329,079,698,716,455,
900,833,548,125,108,104,219,986,284,588,693,650,287,876,570,796,579,102,408,
230,280,247,494,125,084,018,829,526,633,921,654,180,985,055,768,820,958,835,
905,151,541,127,323,125,091,066,797,103,699,294,290,865,655,323,749,608,369,
560,978,024,467,911,943,509,808,249,705,607,111,453,772,206,268,191,509,298,
819,855,593,055,612,332,405,805,003,433,454,078,383,649,685,964,729,345,353,
058,683,309,636,965,787,785,875,733,700,177,048,842,469,309,041,614,196,954,
457,844,706,121,085,457,905,432,837,671,534,764,865,779,175,538,996,508,742,
029,198,093,791,808,280,916,710,877,376,644,412,792,087,942,545,394,868,692,
579,387,597,084,529,979,832,128,169,874,325,156,497,802,482,412,835,358,128,
734,290,285,541,989,309,606,331,915,827,123,668,654,486,484,382,076,578,707,
077,008,384,253,746,237,995,359,541,639,660,086,677,991,412,505,181,311,335,
154,020,753,156,446,427,582,926,912,667,002,094,065,016,788,098,521,828,503,
326,667,742,688,917,819,798,681,452,681,792,324,167,730,577,605,268,161,798,
735,215,026,168,643,744,833,532,184,106,356,488,859,368,977,453,148,357,359,
637,050,244,576,572,935,128,865,418,434,038,843,844,493,209,998,560,012,176,
926,676,574,331,664,341,551,799,208,488,121,928,437,462,657,318,097,113,994,
572,800,119,209,123,653,492,931,606,954,121,279,907,862,278,975,877,450,979,
627,766,097,036,576,747,758,242,873,632,138,475,556,487,189,245,970,529,862,
590,732,356,383,953,718,654,963,333,718,191,913,806,124,412,055,844,647,260,
598,397,675,888,985,767,994,120,955,485,450,734,878,984,822,572,689,708,719,
315,826,778,307,206,297,604,451,565,829,922,657,892,636,921,838,962,967,485,
209,833,471,320,033,831,363,249,767,987,175,748,902,168,574,689,417,753,733,
235,243,519,152,599,090,771,185,970,202,868,894,954,360,163,602,899,717,687,
321,413,535,078,809,960,610,073,600,698,687,135,043,566,381,002,405,469,277,
014,156,542,010,210,549,539,294,048,261,842,936,660,343,283,456,304,575,412,
926,152,125,593,850,774,536,325,894,553,958,346,426,530,900,356,796,250,049,
688,982,156,842,793,533,383,889,301,811,895,196,406,962,361,864,186,447,255,
118,164,071,497,007,068,986,150,665,147,094,760,056,969,185,924,561,454,321,
343,287,050,635,279,816,552,620,945,592,691,933,609,836,699,558,277,744,686,
776,335,840,055,394,930,747,550,903,726,201,769,486,920,887,262,511,043,186,
976,008,843,154,401,082,991,755,836,021,069,436,413,584,626,504,840,147,096,
976,589,349,654,911,393,437,318,813,835,427,640,841,710,747,127,155,496,400,
009,680,346,575,318,960,681,433,096,010,040,231,147,888,072,470,653,257,979,
072,762,769,714,391,493,629,391,135,191,288,178,515,761,124,692,228,831,067,
238,846,989,428,821,990,335,554,415,657,213,746,772,109,047,299,092,824,219,
026,396,944,270,512,679,529,705,154,630,960,413,384,127,842,236,243,214,619,
396,420,181,566,707,148,195,436,159,353,338,041,652,884,212,854,819,720,619,
419,392,888,790,523,189,172,098,676,787,461,887,785,024,270,265,223,149,518,
176,403,795,666,217,566,275,645,692,606,840,627,165,046,706,711,546,731,908,
016,034,553,173,696,464,451,444,030,282,420,462,488,748,696,584,776,151,024,
517,705,854,413,100,434,888,148,858,808,048,537,805,483,291,367,861,134,440,
551,416,436,954,669,838,905,878,180,589,077,570,019,816,199,083,464,407,151,
945,012,579,271,721,833,716,257,812,341,223,115,582,558,411,247,484,088,087,
312,803,904,203,125,566,426,124,849,761,915,638,520,852,553,627,459,076,048,
034,262,111,515,572,988,043,273,838,758,449,740,781,201,692,614,546,838,151,
338,820,093,231,117,494,089,172,879,444,786,205,595,200,380,518,038,891,185,
881,668,277,452,444,711,846,843,739,160,829,371,544,333,162,309,072,370,028,
224,825,192,046,547,907,956,418,297,632,665,280,233,876,350,948,310,730,867,
101,956,895,582,056,056,876,317,399,421,645,963,036,107,167,266,051,557,719,
148,511,027,399,224,484,215,756,513,439,036,862,567,100,998,631,672,113,534,
559,137,403,943,177,123,150,244,628,624,141,340,111,902,031,402,962,799,374,
573,471,985,290,442,106,424,581,674,411,551,536,054,740,823,198,728,862,133,
154,518,198,728,579,957,969,849,012,714,818,734,792,767,494,074,957,490,475,
938,782,393,384,392,236,918,582,975,907,907,077,626,970,228,306,231,288,834,
935,645,863,998,089,151,768,993,107,917,023,298,197,258,616,830,738,038,732,
976,537,334,135,915,460,134,216,468,777,035,693,460,510,002,837,555,091,139,
979,641,478,313,247,796,636,364,647,335,604,271,893,453,741,091,787,420,331,
172,271,290,008,329,598,739,989,505,494,246,178,231,453,419,281,920,191,794,
522,559,202,851,969,649,373,767,418,582,714,104,603,599,371,865,724,386,125,
266,329,827,502,956,020,611,225,696,049,880,240,820,529,413,126,402,982,111,
668,638,195,537,329,374,070,246,864,875,578,724,091,075,229,439,704,748,392,
264,067,472,628,489,549,626,384,092,935,679,398,011,574,288,203,406,276,112,
916,880,418,139,957,834,772,585,608,986,525,127,351,654,432,795,366,530,361,
394,466,357,591,520,434,789,747,470,909,931,741,342,380,842,956,254,963,873,
176,757,524,975,276,166,385,764,697,898,226,336,458,015,687,623,549,470,098,
556,184,063,484,652,971,839,053,091,283,983,124,449,709,172,876,241,320,088,
945,698,369,646,085,542,074,327,216,417,936,664,471,652,590,394,206,574,407,
514,690,008,902,401,658,493,594,457,481,863,770,290,981,936,460,490,924,577,
491,799,384,496,630,400,691,945,462,832,969,922,914,053,801,705,986,980,832,
285,927,194,267,842,609,070,227,345,599,613,708,709,613,308,810,153,883,233,
615,424,011,595,712,375,928,074,919,482,429,210,438,888,358,312,502,483,894,
257,692,178,531,716,276,227,604,352,649,105,978,929,225,023,179,592,328,008,
546,739,930,678,863,175,296,284,371,457,880,900,414,072,079,176,462,554,493,
215,387,869,900,052,254,783,481,346,411,545,196,955,444,665,394,371,796,355,
053,182,843,387,348,416,555,751,619,826,993,047,025,560,330,272,514,752,538,
711,687,468,644,533,096,728,346,947,397,893,946,325,332,762,014,363,962,456,
026,923,220,629,087,962,403,349,732,942,634,208,594,121,193,843,064,854,516,
534,741,765,323,729,699,588,896,565,450,389,724,110,630,419,117,257,017,183,
860,604,080,371,456,976,324,062,305,597,727,490,956,511,683,690,872,949,466,
837,907,271,624,667,438,288,491,898,863,047,259,916,279,325,553,725,664,125,
365,095,634,557,654,764,896,363,467,644,047,982,276,717,154,481,331,762,943,
835,056,912,974,720,368,261,453,463,109,569,691,199,852,463,069,411,626,787,
396,021,201,218,632,293,067,633,863,537,226,427,007,158,814,513,404,474,558,
589,433,360,784,729,078,113,235,441,082,014,444,230,591,780,947,638,685,095,
596,491,109,934,151,427,053,157,871,315,375,129,611,930,392,577,174,376,394,
323,385,836,172,503,729,870,236,796,009,114,599,514,918,489,824,733,866,317,
471,074,235,113,170,950,524,157,088,371,211,594,987,304,453,313,739,279,399,
963,354,935,773,742,420,975,196,661,365,692,955,838,652,996,820,509,780,790,
775,834,760,971,506,153,823,726,689,989,964,660,287,514,856,714,628,155,926,
726,775,631,356,729,663,769,371,907,410,233,933,538,045,975,778,461,708,546,
667,984,279,846,446,162,174,246,749,781,453,674,664,198,690,430,965,826,426,
022,691,018,883,713,433,227,279,650,429,362,932,493,175,458,605,786,571,038,
405,725,848,260,574,272,992,894,508,748,226,703,763,081,913,542,071,796,956,
780,137,039,666,395,526,262,135,663,487,294,555,423,300,364,866,517,428,242,
496,462,776,953,577,629,876,571,048,218,073,621,846,327,141,000,430,772,875,
980,671,400,606,352,525,288,103,512,383,689,607,392,643,241,951,593,242,319,
293,782,462,259,454,448,638,513,828,430,011,802,104,429,119,825,790,745,919,
034,428,205,325,028,537,770,824,045,213,577,343,037,096,478,734,417,001,524,
512,558,261,225,337,002,509,402,213,404,847,117,638,061,745,406,365,525,981,
942,536,538,132,867,600,302,341,600,078,860,847,969,637,289,362,296,488,832,
279,374,828,366,080,349,699,253,386,091,065,581,078,466,618,713,190,402,084,
554,217,363,227,405,601,302,122,546,464,213,145,954,585,278,512,066,894,935,
654,746,174,972,384,653,727,127,516,844,374,317,776,173,942,694,904,072,435,
771,094,169,437,462,825,422,293,900,125,939,231,790,994,975,560,869,388,285,
713,786,415,813,024,819,760,107,034,376,198,772,226,688,882,727,208,189,108,
708,618,639,529,907,540,311,295,406,219,239,797,714,531,592,879,895,576,487,
088,496,189,307,464,813,092,968,046,247,761,619,286,110,267,986,508,333,740,
377,739,287,519,460,372,918,984,064,764,984,678,518,134,862,478,111,877,342,
657,828,570,611,501,442,857,226,618,626,480,250,273,409,847,602,079,127,726,
217,784,330,698,398,076,345,364,294,296,503,642,321,588,414,207,617,737,488,
773,922,078,389,633,764,484,843,947,914,285,178,789,358,278,944,789,233,368,
190,561,937,036,069,241,441,309,744,081,092,719,664,860,445,541,589,935,962,
319,313,045,173,474,527,374,637,435,401,833,179,134,740,706,620,284,365,594,
169,548,408,685,232,793,555,213,128,201,798,516,572,320,258,036,200,688,722,
449,724,153,953,361,711,727,821,052,338,295,492,365,694,847,546,312,845,586,
309,130,139,974,477,003,820,984,326,285,128,664,429,853,945,918,246,840,719,
015,851,720,865,543,391,422,405,063,780,316,245,797,209,158,204,813,612,388,
140,742,612,475,667,807,455,987,844,235,440,090,111,868,327,444,549,559,883,
958,737,483,308,211,083,040,772,278,724,767,380,065,691,804,325,557,954,077,
749,173,007,882,738,441,317,385,418,092,012,098,843,559,431,375,501,001,348,
174,583,203,295,935,632,480,626,748,893,183,204,530,788,544,682,038,778,298,
279,061,084,559,659,678,521,330,580,248,466,477,643,854,033,475,488,296,948,
635,640,124,692,730,063,258,816,062,825,039,367,102,750,019,016,166,494,780,
240,068,061,344,618,770,687,961,416,073,098,828,107,439,376,743,387,078,693,
822,064,997,739,939,666,667,486,331,504,471,169,908,194,859,027,503,713,574,
115,396,255,074,621,191,970,149,357,581,037,437,539,315,854,761,574,247,026,
950,226,056,168,185,450,761,254,738,399,278,074,921,334,426,836,385,678,018,
034,389,636,279,511,135,049,376,697,221,818,663,289,898,541,505,662,708,834,
100,440,173,912,906,922,078,133,031,456,530,475,712,140,209,667,219,483,620,
620,385,249,375,874,678,318,365,768,589,071,237,579,536,261,137,414,271,692,
816,305,343,554,095,698,851,121,890,351,695,839,102,277,637,244,403,401,782,
859,846,016,627,411,037,199,957,541,134,045,381,154,405,913,754,860,534,206,
485,456,702,008,556,409,281,981,729,260,005,281,362,844,538,453,500,497,996,
204,433,349,083,912,762,986,298,972,522,202,453,375,617,480,423,745,812,883,
397,668,612,673,355,649,153,393,738,800,811,194,379,904,501,231,399,597,826,
483,943,743,191,227,184,730,331,298,133,902,238,790,624,951,630,173,701,763,
135,546,510,788,674,327,676,926,664,073,215,889,122,724,604,160,846,655,708,
931,417,551,205,146,434,005,731,403,102,734,391,217,561,315,165,028,556,656,
978,594,727,955,904,018,602,314,502,240,686,418,418,350,592,853,920,218,766,
109,809,905,156,107,061,227,739,859,384,743,507,972,893,305,938,970,233,000,
597,031,675,860,540,804,489,720,599,101,015,613,360,097,700,080,941,417,759,
972,687,707,971,069,068,346,914,961,790,731,354,973,349,628,163,659,247,859,
595,470,994,872,145,630,736,424,355,022,816,828,994,070,777,345,694,495,105,
948,548,922,359,829,506,217,195,410,649,388,510,891,537,664,164,292,593,185,
175,618,482,769,167,148,923,053,492,304,225,539,603,183,660,768,741,793,388,
708,799,402,081,363,783,960,539,957,295,071,102,249,698,481,007,227,623,842,
373,208,057,110,154,775,487,431,466,503,632,697,224,447,539,582,859,782,504,
561,497,138,839,296,007,097,742,792,736,084,896,979,325,151,354,904,615,739,
716,554,560,938,093,651,448,599,592,865,154,122,106,266,213,015,453,361,297,
407,511,226,479,941,345,175,789,103,421,085,410,415,468,794,982,625,899,302,
085,413,554,455,295,822,916,310,709,483,426,270,957,363,567,248,372,337,856,
612,146,296,094,702,963,736,838,628,592,122,686,664,403,139,569,809,369,074,
535,127,125,393,877,345,720,284,866,089,584,834,853,876,077,911,642,828,252,
969,533,786,281,334,504,511,164,556,920,346,304,284,387,006,493,101,705,652,
252,594,087,198,220,594,883,085,913,121,933,003,923,059,241,525,724,204,096,
723,800,179,649,465,132,028,896,980,747,337,171,941,029,497,470,586,665,823,
327,719,096,033,913,771,132,827,498,062,350,351,520,024,504,528,737,340,936,
418,158,931,972,523,139,435,555,244,671,511,656,300,262,503,312,183,387,968,
761,865,086,567,359,045,823,061,648,175,295,102,990,639,308,862,559,433,448,
817,453,700,990,195,157,592,857,748,073,486,769,729,381,270,704,983,096,523,
480,227,953,463,174,744,691,778,330,549,180,656,920,632,678,338,911,949,887,
474,980,339,768,896,502,414,053,866,364,603,589,583,766,558,947,577,162,443,
107,381,097,577,354,646,292,008,848,324,038,434,440,077,176,940,226,547,774,
561,922,984,658,655,982,243,356,143,059,111,727,341,467,122,483,225,037,485,
265,008,915,506,153,335,642,927,597,942,057,437,269,222,888,509,805,890,589,
240,005,189,856,670,227,915,268,367,369,993,881,635,884,247,188,104,714,052,
782,323,711,090,101,417,157,681,837,029,770,929,387,086,893,418,921,346,016,
793,984,593,940,884,979,294,690,075,322,859,592,620,611,802,951,535,440,567,
698,581,446,191,970,954,485,535,435,563,371,485,263,090,207,417,864,592,635,
871,089,013,120,304,426,037,081,939,230,528,111,132,853,456,706,519,037,198,
750,389,936,007,017,365,731,590,898,069,253,094,666,991,049,209,693,190,180,
223,719,196,709,776,792,640,345,648,840,864,367,741,501,041,332,236,555,227,
366,520,195,731,555,558,929,889,934,135,917,292,753,816,900,650,423,954,945,
982,218,733,174,397,574,831,176,497,838,968,648,823,570,085,974,719,660,074,
742,634,546,078,812,333,652,293,422,770,671,279,950,994,319,139,477,049,626,
856,327,542,354,675,712,489,679,139,776,277,233,738,781,023,556,635,695,387,
767,356,820,011,216,640,320,041,285,650,975,217,650,352,750,538,466,513,059,
149,220,837,859,923,416,487,508,076,034,611,038,776,308,297,334,777,045,988,
259,953,282,573,078,524,599,114,416,415,806,493,197,652,911,720,824,988,402,
164,246,122,445,130,552,533,729,009,701,873,668,554,600,989,238,246,405,381,
620,833,414,968,940,188,000,674,459,046,362,888,046,920,164,825,126,320,928,
127,841,843,487,080,457,969,310,653,703,572,437,610,627,490,416,748,666,531,
159,414,917,638,799,804,497,000,031,119,273,579,586,356,740,599,106,370,581,
844,881,270,316,982,154,911,038,987,063,930,813,071,401,285,929,583,889,677,
008,145,828,183,491,898,155,755,745,672,985,214,549,600,109,068,319,372,911,
640,194,797,890,123,003,691,692,943,724,663,421,000,005,917,275,840,547,433,
305,082,021,247,635,305,027,073,690,886,646,073,383,135,692,166,611,251,157,
598,674,394,442,543,835,012,980,967,258,446,653,617,901,291,616,937,231,465,
321,090,145,667,329,585,883,449,872,147,486,309,726,407,717,566,413,560,451,
202,913,677,620,543,693,388,536,916,236,692,600,544,700,513,936,361,756,561,
161,550,489,388,951,476,299,806,155,116,642,572,623,014,334,104,505,646,942,
719,527,866,906,388,241,177,150,710,012,433,648,702,907,655,412,238,285,008,
000,373,493,586,768,196,814,309,764,817,473,093,761,754,910,118,993,141,090,
473,515,035,724,519,775,904,581,408,044,535,325,749,917,462,670,766,742,994,
003,622,845,447,017,788,810,223,351,657,793,458,260,938,005,555,659,608,643,
569,707,933,766,961,943,347,247,352,142,906,120,414,987,970,761,345,828,139,
862,890,897,591,266,717,617,179,072,862,160,356,417,837,917,489,942,747,959,
631,239,015,845,040,133,068,765,430,110,973,506,447,791,403,249,505,754,802,
333,712,430,316,206,810,770,795,882,808,050,052,773,566,725,574,528,338,799,
825,122,230,514,682,132,571,054,806,541,397,070,419,764,890,640,507,614,863,
611,818,870,766,574,857,351,368,076,978,422,746,116,594,146,065,420,909,124,
566,613,550,451,763,894,983,963,701,544,021,886,103,800,735,825,132,599,102,
029,474,044,808,102,902,394,346,833,832,571,687,421,518,735,723,748,680,994,
009,322,305,342,982,449,194,097,342,625,339,349,194,258,523,813,452,703,851,
506,388,854,865,154,103,705,867,188,278,794,529,303,779,241,993,989,479,159,
061,802,635,695,257,146,861,840,874,558,448,213,817,577,164,327,925,407,207,
851,287,830,126,691,569,620,995,473,741,344,820,298,419,934,124,066,889,210,
229,407,701,906,827,246,458,281,357,384,325,422,816,309,816,966,190,702,172,
462,438,093,990,894,698,341,406,073,868,719,908,936,092,236,629,486,049,516,
880,168,066,219,241,837,503,477,389,045,407,545,653,364,177,652,156,006,842,
048,249,955,309,845,895,315,546,315,867,831,978,042,675,629,929,557,177,054,
752,406,481,923,017,296,651,238,709,796,233,299,091,421,518,643,670,476,942,
240,772,392,249,595,531,163,808,942,547,368,095,887,728,459,163,971,672,355,
157,456,696,409,058,765,723,137,714,962,009,153,318,389,442,249,112,820,205,
621,737,632,419,966,046,664,309,619,965,927,799,544,122,214,228,034,320,890,
317,127,062,608,184,857,383,476,388,807,441,411,941,463,069,340,534,874,063,
017,827,912,316,768,423,032,941,782,171,004,585,288,504,207,041,596,283,890,
300,812,132,394,694,972,983,910,127,004,631,281,059,112,620,699,827,709,803,
493,217,967,680,601,607,596,699,531,913,121,633,439,958,428,171,412,068,736,
018,082,592,461,030,996,326,301,516,490,079,978,122,752,007,832,090,909,147,
884,432,140,353,865,743,088,300,192,827,510,674,567,469,069,851,865,202,479,
865,079,091,926,949,488,013,807,434,139,280,926,375,569,372,351,116,967,827,
763,500,412,217,152,178,381,999,696,209,116,182,110,527,621,267,032,531,333,
486,532,828,332,000,260,289,208,369,245,845,221,283,076,615,558,403,573,595,
147,321,701,827,636,412,027,891,804,552,984,051,508,273,567,529,695,905,212,
963,476,262,918,527,996,592,948,874,664,667,074,060,906,227,144,137,102,987,
269,446,663,886,327,427,433,515,874,850,887,187,077,429,222,345,571,285,768,
709,785,065,506,143,069,561,681,795,242,621,914,062,296,864,791,001,610,219,
299,235,213,923,658,449,891,879,466,691,507,669,646,566,395,747,054,407,092,
199,865,012,175,854,383,422,170,528,907,175,135,439,186,535,069,168,383,075,
738,192,723,227,646,748,784,038,501,947,313,777,633,847,614,176,887,215,629,
264,442,978,661,635,733,832,960,505,045,143,717,011,819,043,476,259,429,590,
365,909,937,268,759,145,119,389,699,852,704,415,785,500,272,026,640,056,326,
022,944,608,258,787,775,032,974,396,539,545,724,123,990,396,704,199,779,302,
042,858,537,010,066,611,916,621,497,715,616,508,497,733,686,617,916,741,835,
925,953,956,061,671,294,938,351,912,880,719,663,261,662,705,913,327,173,851,
242,825,744,202,179,297,216,903,862,915,486,932,329,311,055,188,949,023,814,
764,711,287,275,665,829,777,300,245,280,724,896,236,554,739,970,321,620,757,
897,742,527,257,253,720,048,034,356,686,381,661,189,153,262,822,607,270,679,
510,724,082,764,225,601,697,337,059,987,946,978,552,420,880,716,690,583,107,
913,528,166,525,374,656,182,254,023,614,625,349,871,590,423,205,550,087,493,
333,622,121,131,366,348,931,822,209,915,027,162,882,948,955,368,940,799,413,
655,338,068,738,885,680,452,528,625,015,142,910,464,674,696,850,891,026,424,
065,904,547,561,983,653,430,923,146,000,563,843,715,457,408,435,943,383,635,
140,868,207,560,378,782,048,718,545,543,347,949,905,960,413,265,212,527,966,
066,844,084,615,602,370,932,099,427,499,966,178,096,416,109,328,259,283,217,
780,048,791,331,599,168,116,862,963,756,514,342,847,042,919,388,405,298,403,
399,144,755,603,439,620,094,275,261,616,493,800,479,069,366,795,665,779,463,
435,637,547,277,887,362,172,954,154,326,772,717,645,201,231,265,594,350,377,
568,634,312,929,910,299,361,328,128,353,238,057,594,019,290,269,420,683,527,
174,935,729,703,282,469,187,281,205,697,523,455,529,203,237,744,313,972,016,
266,598,765,682,897,059,576,223,362,546,340,799,836,983,395,647,010,294,840,
047,889,338,243,501,495,281,212,857,382,726,702,772,047,403,330,629,688,245,
940,581,038,159,949,009,173,616,708,998,482,396,554,297,684,219,071,871,004,
661,424,917,580,283,059,889,012,804,477,587,519,316,916,609,257,392,559,262,
482,486,127,443,204,699,877,220,870,665,595,016,867,225,009,991,340,294,390,
452,064,519,705,656,814,874,404,905,469,468,498,063,255,131,417,159,388,346,
531,092,514,235,663,020,822,352,844,033,724,172,060,428,567,970,580,938,315,
040,713,308,235,471,601,429,517,433,004,254,158,602,682,887,635,482,851,703,
233,230,433,835,270,235,139,561,856,022,587,960,300,685,726,869,660,231,965,
704,089,651,779,093,060,857,655,274,297,451,149,261,700,817,728,876,661,709,
697,466,778,602,523,176,178,610,376,055,540,039,268,556,672,758,148,870,668,
223,798,619,575,109,869,352,655,961,012,112,179,778,444,934,768,741,559,495,
543,494,135,014,260,701,376,754,230,093,421,428,977,885,531,412,461,368,059,
239,512,084,149,870,170,440,506,859,538,492,934,829,773,858,948,883,737,819,
083,400,203,071,766,596,131,775,947,468,412,197,929,223,141,943,307,103,959,
241,708,663,022,647,399,549,349,223,771,642,218,242,533,392,518,907,957,208,
832,830,185,631,268,760,374,955,544,493,496,078,855,598,149,555,984,760,506,
656,457,680,061,044,216,906,154,820,719,108,622,823,750,023,504,646,091,452,
614,393,883,588,159,549,652,157,838,021,792,311,263,244,841,046,169,447,103,
651,324,662,678,052,861,353,108,454,734,532,372,238,690,773,696,890,084,830,
650,951,853,192,170,030,292,866,756,521,730,225,415,183,503,124,653,729,552,
373,061,324,312,690,076,834,623,540,647,023,979,080,173,043,280,917,507,627,
065,427,740,471,311,167,371,327,409,181,730,044,938,446,263,549,673,437,463,
547,202,414,968,791,350,478,687,432,674,544,061,115,308,528,615,605,866,787,
990,335,568,576,265,267,791,028,423,182,005,961,755,922,450,958,511,172,420,
041,968,468,632,209,572,109,003,711,117,276,482,923,815,607,681,611,668,358,
115,372,906,107,540,240,739,481,626,785,958,791,896,737,797,297,831,499,813,
497,342,109,611,906,330,412,521,829,847,702,904,789,397,067,673,911,753,298,
400,181,208,342,400,487,209,106,153,349,458,842,388,905,477,133,617,005,862,
985,435,745,788,903,727,786,084,915,508,228,677,518,567,218,829,937,168,296,
665,775,954,752,768,943,394,001,681,388,109,592,149,296,041,877,340,762,399,
342,507,494,658,610,245,269,868,073,959,958,147,184,248,611,133,458,789,764,
550,940,362,044,714,745,246,624,899,199,479,939,002,176,748,357,443,721,592,
872,791,935,605,615,766,936,792,242,495,970,521,919,059,159,690,198,295,011,
484,510,526,210,399,937,461,994,645,935,587,764,818,860,678,046,825,337,181,
927,018,611,578,228,434,093,596,849,478,290,084,655,587,254,852,847,829,287,
593,758,572,027,988,848,112,685,504,956,876,788,885,053,810,484,055,196,751,
243,577,907,292,330,740,657,153,607,020,142,957,470,064,620,186,357,981,014,
938,601,280,619,458,561,535,643,450,687,621,454,999,085,436,377,490,771,720,
369,235,105,417,260,904,741,713,238,601,943,433,472,968,372,040,128,423,259,
389,753,710,136,149,897,151,771,964,908,599,410,855,582,517,296,597,702,534,
823,756,265,122,853,922,541,310,172,373,408,978,122,724,856,863,449,537,545,
897,421,397,573,845,743,154,316,914,348,157,695,102,535,457,973,391,470,062,
899,545,287,730,073,706,553,776,299,755,170,065,557,977,585,436,609,875,889,
038,823,322,843,725,612,856,088,362,489,136,939,758,883,239,374,906,390,355,
931,786,769,269,747,822,617,798,388,646,431,880,154,295,953,343,082,216,546,
396,496,512,909,613,052,795,554,646,778,656,371,211,801,340,537,518,328,735,
430,432,324,187,854,274,331,769,818,894,438,483,531,178,332,058,046,582,856,
578,628,835,392,975,986,906,710,633,726,220,958,767,473,688,338,700,091,301,
453,164,447,593,213,652,956,019,194,919,754,912,821,245,146,533,627,773,682,
259,290,701,886,381,256,539,541,455,283,926,339,311,815,667,788,938,335,986,
632,669,823,567,127,169,379,250,831,455,179,956,085,448,033,773,816,077,148,
810,251,851,654,222,576,411,282,912,462,946,653,880,814,426,766,163,503,151,
429,082,165,799,628,316,538,253,226,467,137,804,776,909,122,990,435,492,181,
441,629,691,012,557,139,906,380,668,471,058,051,607,061,314,284,007,487,946,
022,831,406,313,641,269,820,252,188,952,342,888,215,452,471,712,123,051,247,
031,784,101,575,554,056,517,933,622,112,954,314,080,118,973,399,056,728,833,
352,812,129,395,642,310,995,010,010,087,577,642,331,921,307,018,318,805,628,
882,035,367,559,210,936,812,505,184,851,525,522,285,323,342,353,602,337,945,
335,917,996,902,211,797,116,551,589,648,935,350,877,391,896,527,752,387,592,
369,667,353,609,980,044,091,622,427,480,556,816,959,154,228,545,304,439,478,
227,632,929,542,529,218,528,612,299,308,636,742,329,294,717,456,323,935,172,
469,576,497,674,584,860,757,472,118,070,976,819,124,952,421,785,911,971,546,
874,888,533,983,410,165,619,714,678,683,486,655,521,627,240,761,544,865,669,
007,358,603,990,016,217,984,952,554,796,153,968,453,521,461,317,094,863,461,
841,727,757,817,921,550,059,641,986,480,614,326,325,646,140,919,676,368,709,
993,154,445,655,554,851,134,182,208,068,365,747,689,153,287,191,236,403,989,
094,810,965,313,882,342,092,956,744,749,975,582,860,771,983,671,747,806,155,
271,900,439,479,687,004,761,427,671,637,935,363,544,256,601,047,688,357,593,
481,962,070,659,318,238,297,896,686,446,420,981,148,629,107,752,843,230,615,
220,389,064,768,619,415,383,801,694,380,207,536,905,149,881,542,383,680,613,
746,709,792,995,255,158,273,786,687,805,745,865,914,471,545,926,607,132,584,
712,005,585,051,020,915,573,373,252,094,011,202,034,479,555,239,958,185,314,
723,651,747,013,005,025,769,841,981,232,673,587,689,565,260,935,928,806,087,
943,672,328,507,774,642,867,136,414,487,904,127,963,872,884,620,867,004,892,
893,983,116,325,952,259,303,838,321,032,252,694,624,908,861,888,555,718,633,
806,082,951,011,347,124,040,774,894,115,301,593,380,952,571,159,115,303,413,
229,749,157,396,633,794,392,674,455,508,799,481,309,647,848,324,273,431,036,
410,902,059,745,051,620,315,346,602,469,585,951,358,644,721,979,668,379,827,
044,402,215,724,030,669,387,929,132,603,483,406,924,756,285,290,132,177,237,
727,218,600,049,179,665,749,183,092,816,814,417,219,551,530,110,686,619,879,
335,231,223,710,308,493,659,558,153,514,986,138,431,084,933,899,548,796,719,
022,804,694,776,774,607,877,950,724,344,358,755,098,991,836,909,739,249,730,
715,405,467,860,074,872,981,134,870,844,049,952,793,211,253,761,796,056,103,
901,106,918,340,970,214,941,396,059,509,941,191,626,856,157,446,559,801,668,
832,999,662,077,054,652,691,406,326,784,290,591,892,072,627,020,641,233,251,
592,026,413,157,567,479,593,252,221,076,172,245,810,053,763,782,105,484,331,
855,953,270,809,714,835,097,631,308,288,192,685,895,433,985,722,857,379,045,
102,727,731,470,658,630,863,423,703,276,619,082,699,408,645,513,405,231,641,
690,871,185,101,537,372,653,223,613,356,466,871,159,444,509,910,373,427,312,
508,550,288,518,666,345,373,925,701,104,698,381,006,949,744,964,074,412,719,
481,424,249,254,254,880,233,825,727,585,408,893,428,418,031,351,428,150,728,
592,811,214,774,073,052,389,728,749,307,919,176,885,651,227,169,089,889,715,
539,653,237,197,009,345,410,203,975,205,427,195,008,205,656,116,690,470,076,
764,081,805,006,243,949,069,256,266,868,052,663,264,701,977,289,081,988,489,
197,388,706,128,456,625,810,401,510,248,607,439,806,098,940,698,856,375,624,
026,583,369,036,406,138,662,904,965,210,715,889,031,167,424,881,219,344,321,
482,044,159,564,308,461,716,922,755,714,659,057,872,482,451,965,786,558,791,
424,018,461,366,935,680,347,415,423,224,797,547,246,271,049,372,243,945,038,
147,877,692,683,718,500,612,962,087,778,101,027,703,064,100,553,075,237,938,
956,161,733,787,838,289,473,781,342,976,262,714,867,020,184,758,374,296,798,
074,462,458,145,146,132,058,303,208,815,120,245,043,271,385,511,159,975,840,
600,259,269,050,211,211,841,384,249,843,446,012,441,135,720,076,511,221,032,
130,436,906,630,185,298,204,691,175,470,317,169,305,630,334,274,716,782,917,
902,783,563,031,963,387,990,198,777,234,669,082,660,438,155,700,744,947,829,
166,313,490,209,127,854,573,031,498,075,484,363,237,889,102,629,522,490,644,
436,703,541,903,198,028,542,029,713,932,275,445,038,888,746,860,271,204,172,
496,819,873,078,087,517,309,113,523,827,128,742,341,537,415,910,448,192,096,
301,130,237,722,355,711,409,394,060,036,817,694,768,880,977,930,195,702,484,
898,771,188,473,723,904,778,865,790,755,442,833,542,748,150,100,006,218,559,
958,661,598,385,331,624,983,454,388,551,509,483,142,933,579,287,981,885,629,
517,769,074,201,687,750,523,102,841,275,065,005,677,509,259,601,135,708,781,
770,263,759,212,268,735,744,685,332,333,531,653,427,276,469,741,366,799,267,
608,342,057,651,587,693,977,700,150,146,919,734,902,415,264,650,890,615,336,
037,328,049,917,448,776,245,904,434,853,156,890,540,031,028,307,643,761,222,
697,122,572,652,322,803,670,145,670,862,968,954,959,455,601,362,439,238,645,
615,568,981,640,524,699,333,725,024,913,221,164,377,714,116,181,808,446,232,
605,026,937,975,960,879,640,258,644,030,066,448,471,946,653,376,093,520,511,
044,466,757,704,450,690,405,818,047,190,811,684,765,263,667,065,257,632,987,
328,542,513,715,321,646,681,444,860,336,827,806,569,105,154,751,971,244,006,
727,995,998,179,452,989,106,956,943,789,736,150,696,397,970,510,930,909,869,
667,291,621,271,606,030,534,883,175,813,659,507,920,591,250,289,516,667,002,
775,063,039,440,267,354,480,879,456,253,136,358,853,751,492,468,430,799,539,
177,718,352,133,247,217,642,633,557,275,644,526,776,889,249,267,676,842,737,
415,336,090,823,712,972,216,019,402,470,143,677,105,386,745,504,228,431,875,
274,520,772,084,328,825,122,888,279,391,058,088,102,486,785,316,754,637,522,
423,301,496,022,952,143,548,023,174,718,004,453,273,412,240,143,542,396,321,
736,951,786,413,884,318,582,694,833,997,356,780,575,591,947,129,841,867,909,
772,149,060,505,120,801,646,398,820,668,891,702,402,523,644,491,814,619,985,
082,350,524,526,504,443,396,185,871,553,132,089,553,988,773,396,404,053,302,
431,352,900,681,686,836,539,498,664,880,350,136,036,137,476,711,698,429,391,
448,781,819,082,209,477,267,744,088,826,206,710,470,259,847,194,729,737,984,
928,162,286,837,364,073,221,341,028,486,282,240,676,464,526,209,697,716,806,
584,301,510,273,640,604,917,749,133,708,845,862,661,967,706,250,342,573,749,
770,989,609,689,160,798,833,962,106,121,177,534,796,249,881,137,944,187,104,
349,947,102,833,928,472,962,707,813,936,556,472,117,259,218,343,322,548,060,
062,242,321,188,020,439,893,686,182,415,955,411,539,289,825,930,071,040,879,
993,234,858,334,335,100,037,122,410,569,018,766,617,627,952,441,018,239,144,
054,802,931,139,031,362,599,932,648,629,183,222,692,145,428,130,738,947,781,
292,328,598,065,684,434,667,872,489,253,307,909,771,713,694,637,042,994,913,
434,450,853,141,668,113,753,600,387,669,598,038,129,342,504,968,233,873,768,
199,519,229,362,440,580,637,186,113,269,757,479,247,083,573,065,424,285,332,
141,927,327,507,234,075,910,136,222,677,275,062,357,873,250,424,964,067,325,
903,433,656,691,993,156,749,000,347,250,015,906,029,266,961,669,898,581,162,
230,267,478,731,098,088,170,710,561,389,437,214,003,670,001,718,577,741,568,
866,719,049,608,355,775,165,664,161,879,270,195,074,275,022,592,988,535,348,
940,924,129,529,195,852,361,886,083,784,707,023,862,044,374,732,400,513,928,
552,299,657,883,937,114,448,132,977,769,794,134,922,639,450,679,724,108,500,
432,835,660,174,974,647,722,398,275,926,005,951,797,303,034,447,771,834,795,
711,780,635,116,079,433,589,475,695,360,042,090,329,992,419,281,714,773,476,
236,587,253,463,438,338,633,880,891,335,196,990,765,468,365,137,506,921,261,
235,272,847,502,936,369,415,504,184,017,136,124,066,046,340,821,086,735,457,
335,226,766,699,001,648,998,606,406,329,949,551,355,576,792,045,433,487,379,
880,169,042,362,004,299,255,563,112,498,004,547,496,603,314,571,167,119,559,
313,812,431,822,313,855,044,190,556,247,748,805,438,037,680,129,000,275,744,
240,207,355,530,724,353,800,986,006,731,394,925,682,037,158,637,653,342,699,
626,225,174,234,935,617,942,876,415,799,968,212,819,532,763,508,721,631,071,
015,855,424,249,992,949,449,114,297,572,151,584,412,136,795,207,709,903,341,
678,939,325,658,071,358,885,122,106,266,970,236,023,883,354,927,058,166,376,
049,364,690,911,555,412,861,469,105,554,286,137,585,560,361,083,177,331,851,
894,888,472,031,963,654,821,867,276,317,919,306,291,299,102,552,315,248,628,
883,071,255,740,480,518,906,735,992,605,357,255,838,519,391,240,976,218,934,
913,562,393,137,216,353,224,647,835,588,963,575,428,522,646,936,969,289,830,
358,785,163,596,496,651,512,664,316,555,618,710,696,101,576,692,193,993,790,
231,935,659,071,644,029,274,861,986,561,683,700,664,447,785,672,944,254,525,
145,317,598,450,767,501,265,188,595,322,367,018,753,208,272,382,190,517,325,
399,550,717,530,424,141,317,404,262,517,046,253,494,147,889,198,678,654,775,
456,152,503,287,025,781,390,825,566,852,702,536,541,219,349,441,195,684,576,
924,935,221,710,413,442,171,218,363,101,532,745,514,037,746,769,434,469,904,
178,895,508,956,873,151,539,505,847,468,585,973,481,321,019,367,503,771,327,
828,996,207,636,773,677,351,312,769,594,099,338,378,465,656,672,549,142,297,
986,774,586,648,727,478,844,071,378,566,818,587,608,491,741,400,693,340,534,
263,335,608,757,807,626,546,495,385,558,377,761,964,727,021,783,371,529,867,
819,618,810,259,194,446,702,538,540,219,869,227,286,900,726,543,526,785,965,
507,372,885,740,103,952,450,035,395,034,820,336,061,186,815,996,137,958,420,
428,138,502,802,938,552,471,726,029,059,486,332,407,194,234,351,717,481,231,
612,801,552,541,572,573,485,827,568,583,457,397,040,118,500,795,004,340,738,
794,405,380,544,075,335,634,862,828,379,061,781,836,256,329,857,284,862,456,
349,064,970,165,877,816,747,608,224,694,000,996,554,053,814,717,952,956,356,
282,974,398,945,425,363,186,784,478,608,875,169,832,299,270,928,762,504,762,
199,664,505,600,459,878,931,629,601,234,243,231,089,112,508,977,717,598,789,
491,392,020,639,807,170,435,295,765,634,217,407,487,998,659,005,150,132,418,
559,725,318,716,523,777,420,294,496,648,934,760,655,190,321,614,000,999,685,
488,270,908,558,010,381,605,736,015,172,588,914,190,934,530,979,196,904,806,
257,439,218,250,927,746,082,677,758,296,569,434,629,117,881,372,084,743,192,
708,534,949,888,450,229,692,341,602,987,553,286,586,851,041,935,746,525,411,
744,524,981,843,178,169,476,670,910,091,704,308,249,471,917,200,195,958,469,
475,595,003,706,961,826,809,870,102,013,823,832,526,390,232,403,138,109,735,
890,221,183,204,527,761,905,100,075,659,123,335,244,793,601,425,018,125,921,
337,841,965,189,373,478,272,370,977,930,133,655,685,805,231,854,833,445,684,
179,853,804,352,422,280,560,480,395,231,238,856,428,857,403,387,245,884,337,
870,853,867,576,675,852,432,828,291,500,024,900,635,027,533,118,604,936,349,
121,839,407,096,252,782,151,242,503,034,705,146,780,688,649,258,397,736,210,
121,114,359,682,298,455,854,267,900,731,971,557,843,345,561,541,934,129,094,
678,691,408,601,960,190,854,921,029,465,434,686,148,349,421,435,761,139,257,
537,383,512,111,705,683,870,106,091,386,512,245,833,799,639,682,617,178,098,
601,506,395,327,791,842,809,536,135,856,198,319,515,192,965,026,016,609,408,
464,207,797,809,617,314,941,683,172,199,063,381,373,482,862,946,010,463,980,
925,506,509,179,967,900,027,143,256,384,711,384,089,374,957,988,931,190,814,
890,658,568,032,610,788,287,201,133,531,835,995,424,374,430,485,895,788,542,
965,428,312,458,778,200,032,882,309,207,680,754,818,567,138,480,654,883,487,
023,199,514,155,739,925,630,987,049,064,021,060,345,679,727,957,026,624,786,
879,371,154,747,138,637,951,713,562,390,202,953,026,568,650,228,013,331,705,
127,866,662,822,042,032,680,167,638,548,156,830,519,386,075,964,561,093,559,
528,398,582,222,000,505,249,897,014,719,979,504,023,363,427,529,679,375,778,
246,591,907,925,179,961,483,810,166,263,338,645,591,920,272,595,180,594,240,
679,146,785,398,926,621,508,620,871,086,357,696,826,702,803,269,327,143,155,
455,812,123,936,662,713,465,907,659,671,651,428,602,788,913,912,639,740,599,
133,626,783,044,876,312,418,159,267,134,806,742,263,596,657,983,573,872,610,
897,425,370,385,383,948,685,757,393,708,316,474,739,224,772,830,779,997,416,
902,035,663,705,717,921,144,322,383,639,341,055,214,187,957,528,711,232,474,
085,727,173,886,539,416,556,490,462,471,327,292,250,313,073,710,383,317,745,
885,433,532,771,718,501,258,220,887,832,707,869,595,967,149,304,423,444,966,
164,631,075,597,020,484,142,083,766,774,703,300,106,229,303,290,861,158,166,
815,558,857,296,326,619,667,056,261,689,149,270,200,766,895,382,628,009,295,
458,688,662,646,559,379,879,745,293,845,559,308,367,200,973,974,275,359,559,
375,837,766,249,468,617,713,705,335,811,550,655,021,753,269,080,441,182,063,
159,563,409,245,129,642,326,499,294,112,533,765,123,044,596,405,409,919,427,
219,386,987,757,460,768,415,014,012,069,527,833,325,003,082,754,730,804,220,
343,147,095,222,658,574,951,442,158,969,237,029,962,478,305,699,059,311,340,
279,944,157,993,222,758,910,076,496,850,523,578,081,877,059,791,473,239,749,
269,194,712,285,747,405,285,925,003,478,664,873,981,928,701,916,193,950,254,
712,360,447,612,405,891,704,629,786,058,854,397,002,059,512,366,738,746,156,
456,254,833,137,705,630,576,646,920,759,427,493,601,071,853,245,328,246,582,
126,546,999,660,002,530,810,127,374,299,157,890,372,962,515,853,033,552,760,
729,400,755,489,747,549,029,491,815,178,428,084,089,953,214,824,788,928,104,
549,630,811,121,778,532,161,854,466,396,966,706,353,783,612,661,189,507,039,
684,667,840,657,820,186,201,918,066,486,800,568,713,398,523,057,674,308,375,
801,191,121,593,581,869,092,888,450,965,658,465,246,772,692,615,834,398,581,
876,186,731,059,190,094,852,923,405,535,963,435,731,184,869,240,032,489,405,
266,187,904,082,651,682,160,737,532,845,056,847,626,552,288,846,154,531,041,
384,678,620,651,614,470,623,407,893,142,766,086,534,388,864,870,526,527,931,
114,173,601,154,448,059,124,915,662,954,477,282,348,951,356,161,648,615,013,
280,649,427,720,857,334,003,139,020,182,756,991,168,266,482,006,787,520,492,
694,939,540,068,646,146,281,354,733,099,270,102,074,266,919,835,901,776,190,
910,147,059,642,132,209,335,162,063,451,240,888,307,042,718,478,387,513,618,
210,665,159,934,137,148,860,129,913,084,905,406,676,313,159,192,777,377,468,
226,887,292,242,668,878,687,469,392,372,908,792,134,631,596,384,543,851,485,
455,379,024,783,173,624,732,359,766,248,131,005,565,048,751,695,366,461,308,
987,065,654,998,620,342,918,477,178,663,562,408,416,937,602,020,570,382,223,
356,255,906,691,746,188,139,914,656,101,150,326,442,915,323,166,113,684,847,
180,616,676,801,960,448,790,365,541,363,400,390,127,321,446,391,115,283,257,
991,159,729,728,286,946,592,288,760,934,328,779,086,393,963,532,794,379,697,
265,967,433,200,332,514,541,803,311,151,830,846,368,945,790,788,435,015,142,
556,763,063,121,261,051,560,476,604,408,488,407,032,269,367,960,623,542,606,
141,376,766,613,015,497,078,221,135,098,122,999,399,831,049,267,728,575,937,
040,431,281,105,490,808,192,236,668,134,345,782,245,394,305,783,862,338,697,
139,448,976,819,915,062,355,954,710,635,338,679,832,223,775,890,940,050,926,
320,913,324,245,456,144,429,138,347,589,205,960,375,538,543,381,115,164,824,
739,370,006,738,013,975,880,122,699,072,124,811,882,906,891,134,075,722,753,
079,501,372,779,573,678,832,035,740,593,292,075,867,264,183,838,839,606,376,
251,331,767,596,386,979,093,392,125,683,651,186,557,523,732,208,017,153,269,
391,738,882,351,218,430,177,563,497,965,943,139,757,896,216,090,279,881,399,
584,187,384,028,135,605,805,926,233,923,713,359,143,595,425,635,322,579,010,
351,426,774,881,917,058,073,102,847,437,481,916,873,798,629,531,144,817,371,
541,874,886,034,196,463,105,154,803,105,968,321,383,667,229,182,148,370,962,
197,578,011,609,513,396,446,658,541,298,390,297,898,462,243,541,342,475,973,
179,869,111,383,309,914,804,912,520,434,433,117,984,603,881,320,161,684,143,
439,959,390,536,404,966,180,908,254,638,612,106,986,644,051,794,536,899,946,
467,078,372,982,544,075,335,654,518,716,984,576,056,085,012,946,917,557,049,
942,304,907,611,344,484,013,468,592,167,779,967,521,555,645,053,300,796,635,
383,477,638,200,900,141,746,539,071,450,915,714,989,519,182,743,946,049,935,
954,804,479,168,801,938,617,321,280,030,304,349,385,592,428,021,498,247,606,
923,999,211,993,165,321,861,132,691,518,725,926,003,289,932,827,517,427,668,
781,494,648,572,848,092,809,991,766,223,490,037,449,578,325,662,244,623,792,
265,918,860,586,766,186,463,671,647,580,304,818,374,370,201,449,677,660,268,
485,239,439,476,043,127,853,338,371,421,411,346,089,805,600,129,915,428,751,
657,701,008,160,925,061,578,085,192,179,819,623,108,097,324,294,853,829,057,
151,327,263,453,072,119,602,283,190,124,652,524,411,830,304,034,589,856,089,
536,280,516,341,062,144,463,311,828,580,267,813,804,347,432,765,280,267,912,
750,667,724,281,152,811,954,655,541,250,133,990,388,697,659,415,788,254,225,
392,137,611,437,036,669,772,331,619,063,303,533,372,596,911,397,171,958,872,
675,764,429,874,025,798,464,594,440,002,473,751,061,587,824,160,095,903,907,
728,502,714,817,100,118,761,174,691,065,280,497,954,493,694,418,481,565,346,
429,473,051,606,178,238,380,712,094,337,622,417,201,621,263,206,704,275,907,
534,773,363,618,194,620,555,990,449,994,741,558,040,824,858,667,984,840,462,
673,322,357,454,329,362,850,936,120,785,812,497,815,443,386,826,706,502,200,
126,776,321,457,324,734,236,546,687,427,776,728,063,738,448,245,386,674,059,
563,031,638,878,457,656,430,303,536,182,879,555,379,029,077,486,642,597,856,
109,637,994,410,587,083,128,515,691,738,904,875,893,442,932,300,043,660,264,
186,360,575,464,754,592,841,192,617,166,041,205,150,674,116,134,163,773,120,
276,872,701,030,263,860,347,978,880,164,247,686,573,964,140,281,219,648,126,
320,335,099,333,282,575,128,471,364,914,515,050,390,778,305,744,208,486,073,
083,799,285,570,041,629,381,466,701,034,845,562,080,229,778,705,161,329,826,
569,866,341,048,737,527,224,572,660,846,094,095,290,252,096,377,462,005,788,
374,589,615,524,137,615,952,100,735,670,758,914,482,926,063,915,856,361,460,
814,927,017,520,031,712,070,771,464,275,781,943,422,318,437,384,427,163,562,
308,196,046,253,695,802,099,413,781,697,897,591,973,316,275,928,195,191,724,
993,071,931,967,635,674,044,861,156,408,893,590,767,159,235,890,339,645,759,
011,074,060,357,140,600,451,334,125,130,644,307,012,663,853,987,602,309,680,
101,865,747,801,730,043,187,373,581,288,229,827,271,407,190,224,688,134,781,
410,795,065,526,948,203,271,622,982,345,302,482,691,483,806,429,209,265,568,
492,144,130,642,610,433,530,580,146,765,372,980,067,828,410,135,634,646,589,
273,315,483,441,357,664,534,925,382,246,718,884,296,387,150,313,364,250,022,
191,833,063,826,573,374,164,128,742,334,339,342,260,247,144,448,044,145,642,
105,233,777,867,555,656,231,523,503,991,641,185,759,116,882,319,743,739,716,
897,110,682,137,681,941,496,060,945,577,164,511,632,439,685,437,275,821,920,
544,041,121,023,316,473,464,034,344,905,690,535,332,965,186,024,032,515,404,
976,846,707,277,143,008,486,998,749,347,343,897,256,273,533,473,317,165,268,
199,602,355,585,460,690,719,427,740,911,361,093,042,007,435,030,560,967,677,
131,019,517,474,677,346,700,735,871,393,170,094,109,294,751,660,516,229,856,
551,623,336,253,677,338,565,677,258,482,349,659,745,906,011,588,514,837,413,
542,154,191,014,393,310,689,138,180,066,840,817,621,291,206,557,097,554,010,
589,384,948,119,829,023,465,177,506,714,360,905,303,441,277,434,540,447,044,
690,413,072,623,430,605,219,196,597,103,187,719,880,450,568,766,932,650,841,
802,077,500,307,698,149,239,765,363,186,527,997,140,466,417,773,283,391,950,
345,101,872,038,401,816,450,828,585,543,920,772,815,016,331,497,673,609,837,
271,809,104,661,712,028,476,616,129,570,825,442,170,395,667,085,850,570,978,
840,920,194,642,764,028,781,801,686,466,993,376,249,928,447,134,129,541,200,
592,268,580,744,736,029,613,020,945,861,138,596,871,107,430,462,366,738,133,
109,690,555,304,946,613,727,980,455,513,898,089,046,798,758,690,779,375,064,
535,976,315,178,718,222,678,576,684,401,940,843,613,740,810,480,862,825,863,
486,956,492,450,408,657,236,270,339,762,044,956,494,521,022,476,881,812,115,
112,538,626,696,214,557,250,553,567,200,668,812,499,590,038,527,219,282,726,
825,907,030,593,282,573,843,696,654,262,015,901,920,909,100,772,665,596,355,
067,576,914,340,770,977,583,798,211,584,214,614,380,601,159,946,917,686,794,
890,568,497,336,096,141,960,105,132,356,490,949,796,102,100,984,847,912,591,
683,019,182,607,173,887,385,271,244,073,056,774,967,914,129,712,487,522,740,
224,009,650,840,999,690,534,157,964,488,977,558,163,554,641,583,196,061,418,
647,724,374,792,503,780,852,756,637,532,098,895,174,438,100,509,588,569,518,
201,059,025,045,001,903,819,677,594,493,377,446,667,583,561,919,294,226,472,
774,314,265,657,534,246,003,007,086,109,353,358,471,161,022,004,817,103,871,
681,860,207,987,176,004,468,637,162,728,829,399,968,351,019,665,087,287,182,
868,089,147,943,453,345,837,676,322,324,221,180,126,228,606,039,829,310,663,
488,203,234,836,103,779,883,435,156,300,749,263,399,187,039,678,273,785,000,
590,419,801,151,905,632,336,771,856,116,697,237,308,141,183,947,096,973,617,
434,939,503,503,770,228,650,526,481,448,475,954,911,339,188,622,342,472,878,
751,312,424,134,524,798,337,362,560,993,317,399,615,469,885,360,048,720,275,
080,445,015,555,541,188,210,692,315,782,819,088,624,092,993,259,783,237,639,
630,800,742,362,037,418,562,294,527,846,230,062,187,292,428,619,279,766,155,
896,983,768,896,239,474,768,676,352,078,310,717,559,067,118,861,930,185,220,
928,433,016,373,541,561,207,969,062,373,920,718,187,365,717,694,928,337,436,
770,934,826,680,554,130,369,385,887,226,702,895,463,070,590,800,518,123,048,
653,886,261,413,149,136,019,537,318,167,095,277,529,058,460,751,823,699,945,
397,138,820,363,857,760,789,606,771,759,058,564,070,427,466,226,146,263,996,
036,140,974,283,123,846,263,615,416,723,869,106,172,999,986,275,779,057,122,
845,716,000,572,348,390,697,654,316,308,524,590,062,637,041,918,106,008,306,
132,542,700,257,052,481,775,046,310,617,039,104,241,813,891,088,880,032,574,
314,257,903,823,373,255,148,822,968,184,902,174,433,979,051,902,171,935,877,
392,314,677,612,800,276,080,595,877,347,469,402,667,292,411,415,578,066,947,
274,953,929,608,697,376,597,730,120,933,203,084,749,301,840,197,245,216,080,
254,963,757,606,268,799,941,045,173,611,666,968,968,697,072,546,294,705,822,
756,491,552,101,256,448,057,886,208,828,731,076,194,532,301,258,354,756,302,
550,211,930,477,979,921,219,394,857,159,312,017,093,890,980,337,015,996,178,
281,995,345,718,309,839,604,912,426,282,285,378,162,200,313,819,710,009,549,
780,554,285,404,836,113,202,144,946,865,255,756,451,710,788,114,366,870,620,
575,110,888,761,337,475,576,120,923,129,478,674,945,472,434,426,969,422,925,
274,886,622,836,644,258,434,687,023,778,868,270,951,481,920,032,431,936,823,
818,267,756,175,073,394,943,713,235,241,089,405,171,530,523,452,720,567,946,
636,384,947,989,128,133,143,745,733,404,585,936,422,803,703,978,920,286,925,
810,070,880,217,541,408,715,193,617,588,118,196,592,459,867,337,666,695,019,
346,032,434,115,915,968,606,440,196,538,652,973,728,486,856,560,958,080,250,
492,630,185,005,283,909,410,735,399,444,426,474,031,034,309,709,731,696,242,
359,286,956,493,023,796,427,447,330,744,269,791,788,927,803,555,704,301,691,
172,814,219,843,718,854,353,916,707,133,928,231,120,011,917,190,397,463,899,
110,849,001,144,220,984,504,076,894,707,423,273,657,824,170,372,046,763,037,
354,354,446,238,604,853,378,225,668,528,611,418,057,897,616,685,151,341,314,
401,950,041,351,312,354,436,603,679,334,548,012,708,377,462,731,392,530,784,
357,769,958,873,549,076,108,333,542,433,352,642,811,247,522,950,550,359,557,
329,265,363,000,193,314,937,596,048,244,175,755,345,085,525,844,454,628,053,
175,822,168,786,975,824,367,239,655,850,995,115,146,509,257,365,388,897,999,
337,323,197,207,615,310,339,581,595,606,665,135,304,489,612,698,737,646,358,
137,111,222,997,075,413,322,646,263,758,129,630,323,373,514,027,539,263,253,
702,540,014,770,407,147,674,006,784,476,904,407,398,560,662,267,656,707,322,
069,258,955,242,599,846,346,179,705,908,665,045,981,861,896,637,345,766,913,
625,993,242,978,838,609,142,647,863,240,971,327,506,686,328,688,004,918,261,
514,672,371,621,170,215,679,075,339,354,837,683,223,293,486,049,876,406,862,
547,244,057,622,006,954,409,751,070,431,184,318,335,608,973,725,630,677,669,
527,096,741,122,450,195,549,919,799,698,951,669,072,356,991,402,370,868,032,
001,369,515,071,133,905,007,872,038,882,529,837,017,242,138,123,722,629,368,
902,181,152,801,332,106,629,471,404,929,833,001,115,241,129,453,436,146,025,
786,493,137,994,528,789,647,908,956,380,827,264,280,678,372,177,186,101,175,
635,458,462,475,568,963,812,276,741,237,020,251,380,749,136,334,646,040,168,
055,766,360,775,417,537,277,843,997,033,479,052,616,138,955,200,949,772,217,
285,883,479,459,648,382,510,908,365,481,251,660,116,637,090,642,749,327,860,
677,602,205,126,429,375,092,347,399,410,024,532,791,964,806,772,473,316,254,
885,350,436,533,960,274,491,637,128,277,893,043,420,200,204,165,672,698,491,
730,902,138,739,107,638,297,477,278,434,462,769,576,746,650,536,965,604,351,
398,054,166,272,228,288,776,603,309,739,122,994,647,850,225,834,041,999,506,
005,801,841,909,641,946,815,997,144,182,924,602,671,771,185,817,119,224,868,
215,584,874,712,520,444,550,148,368,828,565,223,618,373,663,080,603,954,577,
492,191,380,966,926,763,292,041,244,824,980,430,452,060,502,129,431,465,445,
775,353,113,964,179,179,051,363,090,396,670,173,427,390,323,253,239,247,457,
873,798,078,019,642,288,677,671,854,198,615,282,187,282,555,204,450,267,144,
225,527,065,056,397,575,291,679,762,374,532,356,004,122,714,877,247,834,629,
002,809,449,472,798,453,788,349,987,588,386,536,144,653,681,087,999,425,787,
098,321,894,579,894,874,707,533,713,196,001,380,974,764,131,392,645,191,630,
397,316,912,341,544,844,538,235,801,156,965,910,463,894,297,031,234,974,588,
394,711,071,721,494,349,185,563,351,884,353,823,642,104,604,814,260,838,222,
272,038,689,619,543,794,505,647,651,791,152,125,886,609,620,655,343,640,847,
963,898,872,619,783,157,999,426,399,280,628,996,838,189,984,232,009,636,845,
741,808,306,559,247,657,014,188,005,615,330,679,306,539,750,538,132,663,455,
611,302,740,469,888,499,707,245,720,109,242,178,022,054,467,702,822,718,864,
779,706,359,328,819,218,478,209,243,612,249,266,390,643,618,236,826,594,410,
811,601,213,328,037,157,536,509,860,921,554,883,906,936,201,627,693,034,747,
003,221,974,338,410,742,733,238,559,915,850,306,821,773,386,572,772,700,445,
248,790,698,374,590,141,576,231,275,494,743,438,676,932,614,186,980,154,234,
756,480,565,182,978,141,389,898,852,529,896,790,753,766,712,427,178,079,634,
589,848,930,020,711,948,389,768,572,128,367,197,514,488,613,417,091,611,760,
837,560,319,521,929,521,253,064,701,637,347,480,067,791,107,720,212,097,790,
825,091,818,891,035,731,304,667,154,149,682,811,846,465,036,855,914,417,973,
773,016,955,503,843,435,939,804,487,239,698,543,748,395,343,623,205,705,770,
250,389,304,769,888,629,602,040,374,105,164,678,812,236,268,846,920,970,372,
071,277,642,537,409,020,378,660,522,037,381,642,678,441,595,123,699,399,124,
453,340,401,416,755,354,268,277,845,974,568,677,340,218,885,192,248,335,534,
973,107,421,437,563,235,472,879,253,638,439,155,847,184,458,091,327,652,553,
826,681,461,540,757,113,534,058,400,368,872,564,283,014,139,155,349,963,974,
343,641,533,639,768,281,116,748,186,980,197,731,301,607,809,154,592,889,953,
708,587,290,626,559,200,907,556,498,616,813,029,420,728,020,356,544,991,806,
754,912,336,795,673,183,844,060,452,708,627,148,641,285,480,375,339,688,290,
262,619,821,647,309,726,577,736,322,550,593,262,280,691,419,544,514,880,972,
724,029,348,163,173,915,156,463,399,428,458,880,607,227,498,379,460,173,782,
221,233,348,878,028,784,068,614,079,576,955,255,370,438,302,998,952,124,510,
371,170,260,380,940,506,271,879,656,016,556,088,812,830,928,380,672,108,126,
844,495,328,520,672,586,581,008,429,478,762,553,293,204,390,566,555,640,927,
934,049,617,229,366,678,125,543,488,873,563,223,389,133,468,522,066,809,988,
830,750,065,714,793,271,626,630,113,679,659,324,261,701,583,107,524,705,630,
482,967,743,772,811,192,814,734,068,528,894,553,464,964,445,829,110,080,311,
019,783,330,024,981,191,698,363,595,750,397,194,895,595,854,937,765,498,076,
764,169,887,556,103,296,809,988,160,484,611,836,862,568,584,048,810,776,966,
331,833,488,289,468,346,179,386,215,647,652,545,197,875,895,423,027,784,028,
078,608,334,034,695,535,740,381,586,106,486,968,377,707,501,684,484,149,012,
955,120,496,797,120,307,639,757,814,187,038,600,159,966,795,538,505,372,548,
949,780,494,276,017,571,540,862,806,573,074,024,348,864,080,439,586,424,287,
545,844,146,798,788,302,763,070,383,530,757,135,338,607,620,885,894,429,752,
314,611,405,766,725,611,704,477,473,917,122,748,244,428,379,357,807,719,076,
328,672,297,646,818,671,292,883,355,177,360,505,686,016,827,745,688,165,978,
048,594,394,553,963,298,373,548,823,790,168,041,832,192,562,292,252,008,530,
954,743,828,828,502,761,666,141,130,389,477,752,918,578,525,886,132,949,717,
667,224,216,144,110,399,202,814,858,654,578,490,305,888,248,767,227,673,733,
302,067,497,828,941,864,332,664,910,514,728,655,410,639,664,418,984,038,890,
562,625,107,898,709,015,892,837,006,076,484,312,533,518,682,753,963,827,019,
279,324,426,506,515,690,367,953,387,322,690,425,070,159,946,155,330,894,902,
885,923,411,731,138,665,451,911,959,095,291,335,520,935,522,561,889,016,991,
676,512,908,610,685,965,193,239,527,264,366,517,930,102,249,032,994,785,174,
313,394,670,064,854,944,308,578,898,426,793,872,858,946,200,652,380,130,659,
404,450,358,221,632,704,649,696,630,999,158,799,398,735,775,319,946,617,287,
409,979,388,938,932,566,483,496,985,945,852,397,083,521,806,587,575,516,345,
034,354,365,176,858,771,217,293,734,925,083,113,870,910,130,375,570,930,020,
681,484,846,881,710,555,333,371,588,353,949,580,358,240,818,178,047,482,873,
605,267,110,236,289,426,742,311,199,123,682,176,895,146,840,930,333,103,138,
029,359,763,847,108,161,895,778,503,149,254,700,195,583,463,445,910,036,425,
794,887,497,954,959,294,607,585,804,950,682,755,261,490,313,700,346,726,449,
345,995,604,802,742,499,181,124,992,180,730,428,774,216,817,184,029,425,041,
747,696,777,972,587,074,283,227,750,528,389,207,001,030,676,685,169,042,309,
799,218,178,869,254,241,540,270,197,805,648,456,429,269,279,574,292,534,964,
311,288,724,477,062,680,301,417,377,557,457,283,415,712,704,046,681,527,239,
203,043,371,706,523,227,503,144,637,732,080,597,852,656,076,637,845,565,014,
537,629,543,448,378,848,787,426,285,954,247,679,627,058,267,853,868,355,621,
216,126,881,196,809,787,829,594,181,339,048,398,354,943,226,390,944,067,693,
432,425,880,118,644,881,538,886,986,118,670,630,896,870,810,700,595,686,749,
915,562,996,966,848,203,273,431,919,151,878,175,974,518,466,243,657,239,826,
592,259,499,090,997,858,611,543,881,708,031,701,076,342,192,232,569,937,921,
244,549,780,450,192,565,519,239,736,979,023,740,478,477,271,236,757,968,733,
177,624,984,619,606,526,514,768,111,042,589,432,632,135,041,234,831,443,943,
759,216,285,688,358,843,081,247,143,287,985,156,629,673,683,269,451,495,446,
565,509,089,180,198,001,702,231,860,991,543,526,187,289,613,276,107,220,740,
775,495,397,237,424,220,076,839,923,387,275,136,635,652,021,472,000,737,321,
377,424,918,139,640,945,571,357,736,896,781,512,650,126,595,414,607,327,494,
490,428,574,033,819,108,030,617,942,256,105,026,925,435,734,981,336,974,152,
719,008,034,975,230,615,401,797,458,482,849,194,208,040,579,571,709,589,417,
278,293,798,510,332,644,158,135,834,465,230,120,219,433,531,567,652,035,980,
406,455,939,246,203,049,273,619,314,740,271,141,001,472,611,843,723,628,093,
270,859,884,878,533,072,054,533,772,887,518,837,164,604,794,585,529,648,563,
079,206,250,557,482,297,874,982,107,550,892,511,083,324,746,565,330,401,510,
447,287,510,971,308,409,495,403,803,796,333,715,109,439,920,932,556,993,875,
567,537,474,458,527,000,755,947,228,669,572,692,295,483,785,194,431,543,752,
010,935,947,045,967,454,183,143,513,989,694,120,769,647,492,508,354,079,995,
361,506,844,403,512,272,748,617,338,334,748,181,336,755,053,883,929,349,204,
694,825,652,813,053,154,973,553,081,631,025,709,431,373,456,229,173,576,535,
661,450,526,716,822,761,508,843,898,989,338,313,832,370,435,318,559,919,450,
203,422,441,432,905,574,010,033,389,942,557,365,315,411,596,739,689,827,302,
870,537,548,179,223,639,775,417,485,397,137,657,842,626,806,023,283,124,821,
823,262,121,985,573,654,391,281,709,293,503,973,625,402,415,596,185,665,569,
530,258,913,703,067,141,333,647,198,001,827,277,261,505,272,318,369,878,643,
440,233,820,248,157,030,234,460,920,241,006,117,918,405,709,648,362,203,825,
674,903,003,501,280,672,452,921,597,138,582,289,193,920,526,837,275,908,064,
736,878,191,332,346,705,870,349,902,295,746,589,066,208,024,194,745,298,622,
664,038,897,319,654,572,843,130,175,476,516,201,536,044,940,902,601,186,669,
714,705,463,691,524,185,526,601,900,638,807,155,305,878,885,766,016,188,560,
304,227,557,758,227,311,529,691,961,608,428,211,992,873,096,390,253,964,322,
619,729,989,786,067,856,301,577,677,408,967,902,753,992,896,429,032,772,475,
214,052,743,828,259,591,595,508,663,456,142,200,265,523,867,271,204,833,398,
812,596,141,994,360,074,955,494,506,977,580,049,656,850,163,850,941,632,941,
708,428,015,004,132,792,092,273,361,277,100,833,154,826,261,222,362,615,446,
604,250,688,420,996,232,015,837,576,818,986,649,074,363,297,796,255,508,716,
725,804,243,236,964,148,535,756,595,247,508,921,475,026,238,320,446,314,583,
346,673,177,576,890,357,286,521,570,326,327,175,008,983,784,238,098,426,354,
729,810,705,830,919,262,196,691,016,864,652,640,811,702,969,614,588,532,385,
116,791,317,702,426,986,052,756,625,633,765,776,815,459,937,901,466,875,350,
491,168,715,448,303,252,640,329,675,951,743,058,553,871,929,318,978,027,311,
337,602,515,457,039,466,807,054,521,219,259,917,320,306,522,022,239,041,563,
619,902,957,224,336,469,118,876,764,944,664,200,488,098,753,531,285,042,297,
966,374,037,868,719,198,263,311,190,094,025,582,637,703,308,598,423,687,224,
496,672,832,003,221,301,719,914,365,511,745,919,340,641,920,534,406,751,498,
604,220,443,046,945,569,945,456,134,771,252,090,964,953,701,018,232,048,258,
618,579,263,602,844,638,303,459,826,766,972,818,702,946,287,362,468,477,691,
641,979,502,840,570,103,803,848,251,088,090,894,533,854,769,368,439,733,691,
128,778,484,016,128,996,094,003,322,558,913,080,698,690,960,214,470,917,146,
565,357,015,119,030,128,081,960,272,178,909,109,533,046,028,633,669,366,439,
284,195,924,988,373,316,435,463,901,860,746,788,546,232,198,399,897,113,709,
075,546,296,473,682,037,975,332,391,033,105,104,292,471,835,416,862,219,933,
307,212,679,267,096,585,713,484,063,257,659,088,492,414,540,453,617,594,253,
162,572,776,019,754,317,523,645,458,167,789,630,517,540,360,845,791,396,797,
120,778,018,058,108,051,464,322,121,621,127,135,611,323,344,919,003,941,391,
193,690,451,178,333,625,649,331,630,569,277,898,724,882,118,321,828,077,105,
642,098,933,095,918,065,339,943,013,180,431,957,931,571,639,241,301,417,416,
637,789,834,486,825,943,323,421,710,657,854,015,517,214,391,670,631,784,090,
489,897,374,230,639,951,428,457,721,110,508,027,975,207,940,040,970,036,161,
779,420,260,086,042,161,316,550,826,210,363,103,132,118,319,600,904,365,518,
001,046,271,248,419,333,619,119,383,178,651,619,025,843,101,090,322,386,964,
072,475,254,826,797,260,695,843,012,674,785,306,171,637,750,672,301,697,618,
630,874,764,584,189,085,363,550,063,765,654,995,768,315,152,928,009,555,057,
169,357,165,149,294,510,068,019,728,133,687,062,340,310,338,638,985,272,747,
173,998,655,837,570,460,245,517,565,951,102,199,765,640,932,731,701,917,942,
544,768,577,219,728,109,043,502,415,641,203,662,168,173,537,274,841,452,250,
986,583,870,559,685,603,070,596,977,163,412,055,913,500,897,669,324,802,759,
602,261,178,748,814,861,623,018,961,352,907,230,520,849,078,854,813,159,000,
203,448,285,141,141,010,259,566,787,659,045,745,952,592,715,266,763,412,298,
015,620,270,977,570,715,715,368,740,044,972,085,002,375,821,433,658,696,445,
580,616,860,866,613,110,867,022,467,925,412,990,376,034,199,851,109,377,960,
282,729,699,003,292,457,136,201,753,573,413,335,046,082,235,197,625,305,386,
706,439,745,415,216,673,529,540,440,608,112,504,866,600,582,522,263,149,956,
122,486,179,937,458,336,922,839,652,614,112,285,583,094,518,718,238,931,555,
000,575,588,870,457,588,995,317,542,978,015,559,831,182,557,963,687,007,224,
580,225,350,732,552,489,326,638,784,352,198,588,190,775,002,367,133,626,812,
467,997,107,307,666,465,854,280,879,605,750,698,263,102,014,131,826,406,548,
185,521,488,161,845,531,497,601,675,298,999,467,200,764,543,940,325,615,307,
394,472,386,572,777,181,046,242,958,111,414,884,553,087,395,256,037,047,971,
961,685,985,356,547,866,130,977,028,358,657,646,074,440,633,535,537,849,156,
931,998,511,103,205,307,285,630,637,402,468,855,682,244,967,351,494,888,677,
658,249,451,134,462,844,209,741,431,302,716,660,537,914,679,808,213,111,800,
607,674,013,933,644,413,903,815,732,858,168,350,302,134,592,720,783,479,630,
078,092,926,708,704,179,394,862,675,732,050,234,067,914,663,573,323,916,845,
319,648,397,293,082,469,587,815,060,889,415,200,926,674,879,599,857,596,016,
706,998,479,496,616,785,153,978,919,129,125,134,210,817,307,174,318,975,450,
066,381,221,465,862,285,251,211,178,577,320,362,512,430,588,366,092,656,388,
219,510,788,242,863,843,025,335,480,553,752,109,795,549,216,760,834,046,021,
483,081,255,422,108,519,540,387,784,320,309,598,277,009,005,695,997,336,628,
115,368,423,940,737,631,551,352,174,584,951,788,985,012,379,754,633,229,397,
509,184,316,899,775,176,098,712,271,354,312,207,012,074,595,439,601,898,845,
171,997,340,645,814,646,457,214,140,021,576,842,454,528,360,748,755,737,606,
832,131,867,468,975,433,256,429,043,222,705,290,156,400,846,581,634,601,871,
064,914,888,382,592,125,109,447,274,988,252,451,348,909,655,185,867,520,328,
498,150,383,007,605,730,919,402,107,773,382,475,382,026,524,714,910,018,140,
104,035,993,840,947,547,556,488,768,499,633,254,368,005,228,981,839,208,032,
328,506,361,183,931,605,048,159,814,591,793,581,223,340,730,828,150,296,888,
303,609,383,104,773,261,612,288,909,547,605,119,924,784,408,323,768,076,339,
305,267,191,206,033,164,633,824,436,959,940,120,156,918,805,299,432,002,481,
825,972,162,340,024,886,499,268,987,579,626,958,476,378,315,707,548,349,521,
397,049,612,092,064,995,862,006,240,848,224,773,154,324,873,706,598,927,692,
118,585,519,553,980,685,281,427,527,434,668,460,315,095,350,899,234,076,600,
391,144,363,835,213,992,692,084,191,876,279,881,583,870,643,282,505,422,746,
233,891,965,466,952,642,744,510,821,859,515,103,026,058,672,597,373,583,187,
973,621,378,354,866,668,029,896,483,718,548,842,949,341,226,796,370,332,019,
519,238,786,032,624,661,182,012,822,533,714,553,981,175,643,393,933,896,761,
039,266,244,855,570,342,996,133,955,851,865,549,081,005,830,421,810,551,721,
588,602,094,302,412,249,273,635,647,402,108,769,135,454,222,237,484,547,767,
924,891,179,984,577,601,736,407,158,203,513,678,472,413,535,149,408,777,964,
803,810,891,521,082,001,238,245,009,454,479,956,934,751,082,385,803,583,923,
294,448,750,546,353,920,172,939,609,300,028,817,113,761,400,486,014,897,198,
831,386,174,442,875,911,652,188,163,177,435,581,417,088,250,681,558,033,860,
725,468,635,563,109,157,586,183,286,068,178,563,365,662,638,798,858,000,642,
832,790,873,793,713,461,869,564,784,678,548,154,663,176,822,661,221,032,797,
319,893,841,356,250,436,125,435,860,138,244,159,601,403,748,304,648,110,405,
082,244,688,267,743,149,863,830,588,747,961,448,599,614,560,962,312,988,446,
031,264,334,328,656,961,452,008,594,576,219,150,461,234,238,041,938,153,847,
512,187,874,034,554,752,643,464,357,970,985,115,282,902,028,452,301,791,582,
289,177,052,032,894,041,385,525,224,368,994,054,051,047,120,266,494,300,261,
974,953,027,804,174,634,677,005,105,374,428,522,029,008,694,948,551,668,869,
218,155,159,123,398,788,838,586,344,834,575,596,941,585,777,899,119,500,410,
830,189,385,389,055,315,745,231,373,866,478,396,748,786,161,019,118,188,818,
689,203,279,584,201,352,463,893,921,046,813,330,311,137,446,672,258,876,539,
709,435,915,009,004,647,936,879,327,555,655,299,895,412,362,272,597,838,000,
526,696,067,482,918,045,151,958,867,705,719,931,511,954,432,694,038,569,523,
329,517,526,780,765,893,180,350,209,092,445,028,917,822,818,322,273,269,094,
198,601,025,430,590,429,413,992,896,648,293,520,593,536,838,925,963,522,379,
884,128,778,071,035,170,326,351,727,705,229,631,473,408,134,720,390,618,249,
077,077,268,315,774,444,975,921,710,190,935,649,596,530,815,312,363,396,030,
764,410,847,145,760,479,729,973,738,907,968,984,510,697,700,373,374,070,817,
313,317,617,341,386,477,327,333,513,800,883,903,620,936,003,470,215,130,693,
961,989,065,107,320,217,355,669,763,578,141,133,280,587,824,737,515,502,107,
664,288,169,232,887,159,959,680,578,659,475,787,291,978,826,429,149,547,153,
355,111,389,668,724,750,123,410,752,266,043,647,494,049,136,113,654,366,265,
983,079,871,767,181,942,846,654,544,132,559,109,557,461,140,460,435,677,747,
399,796,854,802,936,668,783,661,779,712,945,391,796,825,235,007,769,122,119,
229,883,551,739,745,224,012,770,813,276,391,370,903,077,389,114,020,047,327,
340,041,190,898,862,846,776,693,445,481,650,141,691,183,081,753,713,264,647,
445,729,297,590,111,633,642,772,344,455,799,940,833,884,590,904,145,129,285,
443,648,597,908,201,586,584,935,612,253,389,263,506,614,428,269,377,167,017,
312,654,202,391,936,764,595,209,442,033,772,369,940,588,516,552,932,798,237,
802,730,834,366,712,168,225,915,594,118,010,646,064,523,559,483,832,541,314,
742,243,343,778,100,855,184,325,124,168,802,710,361,656,778,664,465,874,279,
311,315,248,357,313,299,386,354,323,083,352,217,554,253,257,884,185,916,902,
718,621,471,531,499,571,415,798,151,774,348,836,856,557,932,579,372,905,212,
134,852,955,320,461,487,470,332,501,800,496,383,153,885,224,361,254,484,016,
523,842,485,192,415,136,399,953,799,072,796,509,614,160,570,222,122,703,458,
130,910,158,605,266,030,543,665,772,961,413,488,278,200,986,169,717,838,043,
046,796,348,807,097,438,461,092,031,031,123,822,970,464,937,737,411,233,268,
103,606,418,536,904,841,430,424,689,774,731,624,102,877,727,926,541,830,394,
590,698,864,142,499,288,101,883,319,484,916,262,464,832,911,745,706,392,382,
888,877,066,431,469,653,057,578,420,621,862,520,293,818,688,516,590,780,039,
328,981,136,145,048,700,818,906,854,077,909,294,775,844,799,224,487,722,730,
321,496,177,636,213,565,597,005,668,286,659,724,094,645,940,402,548,696,665,
353,728,951,677,688,367,459,798,680,393,232,918,970,798,490,060,600,649,197,
984,520,768,281,952,806,243,503,303,942,727,329,847,709,770,181,634,794,889,
629,980,029,983,620,227,382,436,961,873,550,508,712,834,027,143,947,730,441,
734,920,651,198,154,467,745,178,016,462,223,218,814,717,659,421,435,465,601,
967,875,822,989,374,187,782,909,330,494,176,651,714,171,041,075,861,750,867,
965,299,802,146,675,862,373,389,033,828,686,507,705,358,340,313,616,238,868,
919,970,376,430,801,166,323,909,148,836,762,214,492,294,540,653,615,777,388,
372,842,245,861,867,242,401,463,632,519,815,432,145,722,539,627,402,041,503,
431,710,643,470,450,880,134,881,092,988,591,737,281,770,764,348,175,732,936,
483,634,489,205,394,521,476,713,441,233,550,965,497,058,851,139,209,699,491,
581,295,211,469,682,696,042,495,982,064,561,836,390,979,582,771,928,542,952,
965,926,723,194,420,078,197,462,993,552,498,974,754,343,575,724,287,330,630,
924,484,446,867,922,827,144,487,160,216,767,427,621,500,459,754,994,370,377,
264,719,575,286,978,911,705,416,620,849,593,769,080,884,810,320,190,346,590,
588,160,608,778,724,894,749,565,721,315,323,711,166,925,104,293,147,528,822,
687,295,272,202,736,189,271,035,749,714,471,624,441,113,576,909,201,423,215,
813,764,490,449,367,392,906,398,162,752,765,874,011,424,604,082,791,311,074,
578,598,586,010,993,419,117,426,168,752,251,871,228,128,848,328,047,380,302,
809,407,742,180,781,020,876,200,263,565,906,971,172,975,939,738,830,051,878,
479,073,373,863,335,254,966,753,428,848,847,548,994,590,584,373,625,050,614,
518,240,456,863,228,837,902,529,023,152,325,304,901,657,706,177,394,589,205,
562,017,467,724,374,625,657,970,026,859,799,615,155,225,279,547,524,327,960,
545,287,491,461,750,172,361,935,719,104,387,259,296,127,284,137,102,991,699,
679,636,917,505,510,338,066,795,170,792,883,417,449,369,838,944,693,939,058,
453,068,495,448,004,215,698,090,133,715,565,161,783,909,686,285,275,193,484,
716,059,065,253,334,211,832,541,869,815,903,378,488,871,679,874,536,464,932,
984,503,899,161,281,157,835,502,427,748,433,337,996,304,381,755,710,725,427,
794,529,115,056,405,502,229,366,258,933,018,165,497,182,860,279,994,260,949,
023,285,898,991,876,965,002,093,337,447,854,049,041,777,258,461,859,196,466,
541,365,867,058,923,209,186,651,202,288,456,078,507,462,381,411,115,523,060,
934,294,097,483,087,312,715,240,233,864,499,106,600,933,344,601,736,636,380,
495,934,519,642,795,606,043,908,328,255,715,692,509,542,042,552,921,273,649,
875,304,608,794,232,548,286,670,913,127,417,187,398,937,171,922,002,819,221,
507,604,795,349,840,749,690,511,511,917,648,852,086,672,239,676,626,413,350,
584,806,430,068,130,257,284,105,140,372,361,361,078,271,307,505,175,668,780,
893,511,962,865,441,120,302,873,892,977,826,611,114,056,258,039,509,966,828,
764,735,207,911,456,733,188,531,812,586,796,492,518,834,672,497,316,750,708,
497,955,774,025,070,238,958,727,466,114,678,045,930,790,970,992,401,635,183,
026,403,541,711,807,085,968,475,789,576,572,805,846,911,249,382,555,293,392,
962,225,915,833,903,224,915,402,338,039,120,284,654,500,678,876,316,927,294,
348,312,014,534,617,946,765,531,077,829,709,155,841,495,670,906,774,341,939,
381,303,714,114,720,255,292,579,721,652,587,921,465,224,234,573,924,025,757,
027,896,521,316,267,754,915,340,980,435,466,614,626,360,644,516,915,202,217,
312,873,872,760,805,084,675,196,624,395,009,799,576,275,764,092,135,350,372,
301,119,916,407,139,258,686,479,292,441,813,706,642,192,145,316,789,662,569,
020,576,834,965,437,417,170,726,030,634,754,758,590,070,260,962,384,740,188,
477,257,362,314,205,236,195,281,005,190,815,639,202,779,571,409,636,149,185,
434,061,246,536,941,882,593,629,850,762,699,907,371,484,290,598,402,025,807,
877,745,751,125,254,161,614,749,643,421,367,032,143,617,402,601,307,030,326,
304,489,134,675,864,466,891,659,317,448,888,106,780,171,666,800,180,498,261,
393,799,371,665,728,923,345,546,301,309,351,650,670,410,118,119,638,943,662,
211,365,125,464,691,990,609,422,903,771,634,413,812,335,860,833,178,841,173,
133,613,272,858,481,455,981,325,736,117,312,632,375,538,172,760,551,327,320,
088,472,826,046,926,374,789,803,840,543,516,026,746,144,278,051,954,780,762,
522,267,541,290,023,144,213,978,167,303,822,836,677,161,673,379,750,304,367,
243,612,292,728,593,605,969,108,670,210,017,423,015,614,235,787,812,370,639,
149,115,969,505,987,603,861,280,007,078,799,942,991,235,556,013,239,473,349,
142,959,688,084,391,289,477,783,004,427,268,742,202,664,171,041,312,095,723,
425,705,531,393,925,515,310,685,048,783,531,587,744,313,722,853,022,494,309,
147,795,388,560,741,956,386,120,529,866,340,521,391,024,447,424,418,813,465,
408,483,661,605,715,517,100,477,559,738,408,555,863,682,427,715,114,724,022,
491,785,791,985,390,672,918,590,334,748,751,641,156,486,963,669,896,042,646,
900,443,866,981,449,013,697,944,565,097,372,707,880,744,408,730,981,078,195,
067,504,523,282,803,331,516,679,787,557,709,996,427,210,683,270,822,051,082,
099,061,359,907,074,277,650,056,223,691,355,999,434,367,066,122,469,770,975,
194,476,743,751,951,383,651,851,599,608,059,696,252,788,280,088,075,238,447,
573,480,034,839,640,133,943,792,216,893,330,722,250,304,927,009,659,628,266,
159,079,000,520,661,955,400,790,798,349,076,706,403,879,497,630,899,146,020,
914,588,798,604,250,333,513,918,167,866,030,935,859,018,259,041,076,357,111,
693,462,303,369,543,879,348,372,169,839,139,375,163,061,589,408,812,525,662,
734,814,476,061,184,177,249,008,397,318,622,048,470,403,729,363,420,414,032,
687,786,561,084,896,532,342,284,214,431,766,055,314,008,768,790,823,655,914,
831,613,025,037,875,573,653,411,243,842,543,726,555,423,892,242,482,122,038,
757,674,190,426,082,015,245,096,206,106,029,671,644,623,490,996,364,786,873,
458,887,336,793,589,863,996,436,861,522,979,905,429,722,995,505,421,084,588,
719,788,275,849,745,572,590,553,083,312,619,746,513,401,649,909,695,776,997,
855,846,698,719,433,688,900,434,086,819,390,297,531,468,936,567,415,493,905,
595,694,875,795,961,948,747,593,021,284,078,364,683,756,973,872,343,402,429,
312,046,684,624,781,070,595,055,871,013,744,718,516,952,747,582,059,303,752,
411,707,963,401,489,938,616,449,691,055,755,112,763,274,521,427,129,361,060,
836,148,895,385,671,545,473,520,895,704,745,496,619,584,219,237,800,955,100,
896,057,177,536,807,220,169,739,033,629,726,745,335,277,067,043,968,507,088,
565,699,989,841,254,444,447,231,332,788,672,502,686,540,563,002,281,740,634,
417,530,044,386,377,629,757,004,073,854,154,484,302,374,044,522,825,345,318,
155,435,094,376,358,300,903,361,293,269,542,528,626,675,114,555,412,190,145,
961,998,468,366,718,806,462,970,575,954,124,188,328,138,640,431,361,491,804,
701,621,120,889,222,083,704,632,351,291,963,765,744,157,086,492,657,444,274,
034,977,886,823,144,750,619,145,057,663,456,917,376,338,961,482,800,948,195,
706,802,036,398,571,913,094,267,548,957,493,358,019,831,337,414,155,102,912,
138,903,669,273,895,851,545,610,945,618,980,772,731,057,731,105,745,233,495,
563,785,976,233,266,764,587,688,781,845,817,028,433,674,546,208,889,418,642,
190,272,836,269,307,704,044,796,999,636,202,712,591,717,216,542,039,872,585,
526,641,242,610,936,624,653,814,324,468,113,429,561,133,173,298,252,872,095,
510,298,121,795,229,251,798,414,461,081,067,733,888,115,327,637,220,429,895,
440,072,070,319,996,000,588,194,184,598,949,580,751,956,298,100,374,862,928,
831,316,094,003,372,455,458,009,522,713,877,265,221,891,935,787,000,156,477,
525,324,728,955,303,965,439,535,348,130,159,391,163,600,730,125,367,420,039,
407,627,646,786,729,224,087,311,091,688,024,828,079,661,323,744,317,800,155,
757,122,934,226,582,305,065,818,358,482,995,577,269,819,857,522,655,216,842,
616,704,233,912,984,881,951,883,029,765,289,981,739,756,533,981,336,354,452,
440,175,778,109,540,283,751,436,018,686,513,389,464,432,490,425,155,115,748,
236,549,614,371,394,242,112,608,722,795,776,344,941,538,450,092,255,012,906,
709,173,530,351,031,935,678,562,300,979,790,519,833,448,236,567,535,950,575,
888,596,749,445,935,995,662,347,220,235,217,433,003,451,357,255,824,453,902,
980,616,791,491,434,113,156,953,757,377,119,637,236,355,954,900,737,145,670,
733,637,040,133,185,594,232,918,513,391,811,440,528,628,994,270,178,575,637,
306,198,099,774,354,234,616,157,193,462,761,669,531,360,454,822,761,060,006,
264,850,137,107,776,981,381,188,616,952,268,719,526,998,266,123,407,819,477,
733,434,564,466,083,580,981,453,759,029,244,726,689,940,040,077,958,387,173,
841,741,182,223,310,870,467,656,159,319,269,247,693,994,818,560,214,260,823,
373,015,007,170,453,547,351,947,022,108,191,529,002,355,357,523,097,920,848,
371,971,152,739,740,311,997,607,534,442,136,860,765,957,674,157,942,307,140,
394,731,984,982,494,561,879,298,506,274,885,808,865,465,743,468,469,120,483,
981,172,074,967,825,830,460,885,156,588,328,236,600,215,110,741,701,619,791,
169,019,648,347,118,574,067,589,063,915,455,603,254,527,176,697,281,632,987,
624,091,406,122,161,423,062,353,109,547,344,292,956,903,528,779,737,760,815,
877,678,043,720,917,046,563,296,383,549,626,552,818,284,859,248,660,449,657,
119,364,549,849,594,778,305,067,940,196,329,526,406,397,264,332,087,586,375,
478,903,201,652,169,912,786,987,428,638,079,731,950,383,854,244,446,227,855,
157,159,865,188,673,349,671,411,926,005,932,642,894,529,262,503,102,445,416,
665,738,652,660,814,990,035,448,564,489,864,785,671,238,718,800,664,328,122,
442,172,613,115,880,828,054,156,031,753,740,691,007,860,979,811,328,595,014,
551,294,408,814,641,196,570,400,864,304,971,927,209,810,638,428,596,054,512,
365,487,439,012,145,517,118,411,875,515,496,717,998,180,283,247,030,629,678,
172,727,028,180,932,129,752,944,339,721,952,064,237,650,782,032,934,757,559,
143,153,490,082,089,719,513,807,101,436,118,774,178,910,808,289,220,857,155,
260,438,734,606,071,143,577,597,171,778,446,764,678,344,414,572,834,630,870,
063,039,599,212,573,871,382,771,455,462,334,378,486,726,744,919,967,094,048,
677,246,157,822,814,511,955,709,207,813,330,357,470,164,918,624,784,410,904,
130,269,716,783,931,227,906,089,594,837,029,521,538,535,183,825,150,879,379,
704,550,710,549,746,644,760,390,594,645,844,068,235,410,641,931,313,813,489,
491,255,590,438,485,061,846,214,335,161,009,625,121,687,778,320,843,205,499,
531,178,276,673,860,486,258,260,549,405,412,591,994,379,827,993,188,628,704,
750,062,206,930,355,309,957,221,668,153,596,940,863,410,894,042,973,791,039,
044,184,213,785,501,595,645,400,122,746,060,943,185,563,662,182,861,239,545,
083,757,177,122,897,644,486,826,234,616,363,807,518,540,477,601,355,683,702,
264,761,453,722,240,560,905,827,451,145,354,698,919,115,157,532,422,274,706,
430,232,217,549,407,791,041,893,735,747,683,251,690,579,839,921,669,060,468,
848,718,928,782,986,502,323,589,473,509,072,148,333,886,637,876,243,949,922,
577,782,909,455,020,441,281,996,605,193,289,803,984,129,489,332,156,741,967,
594,604,831,017,683,496,178,833,399,241,619,920,321,148,096,504,571,361,787,
818,805,086,315,404,917,847,983,972,307,538,183,652,177,956,994,490,838,242,
396,606,523,952,371,530,941,535,263,276,412,920,924,643,764,895,330,699,959,
155,921,045,717,725,642,703,559,292,555,310,276,093,455,541,917,990,839,764,
286,769,351,395,950,981,912,330,289,931,393,174,282,749,167,799,168,846,787,
902,158,804,122,646,467,089,705,915,219,520,562,613,638,564,288,014,687,841,
388,139,900,959,067,592,844,415,700,081,529,613,909,807,877,430,788,439,690,
419,216,005,243,083,952,215,811,062,411,800,728,602,390,172,479,317,716,890,
766,115,764,349,997,835,815,959,897,167,731,421,951,551,016,675,853,688,572,
822,288,458,341,341,008,224,597,034,107,925,761,822,580,126,464,178,068,435,
612,316,834,445,303,309,686,956,484,621,003,363,377,972,205,206,387,050,491,
158,990,481,048,386,406,969,579,958,636,078,843,777,644,172,859,239,072,873,
902,439,557,286,736,592,934,932,066,791,379,468,203,040,461,800,917,157,651,
735,528,014,337,167,091,606,705,376,186,216,230,899,858,087,530,757,817,196,
356,218,454,187,329,973,768,079,568,483,571,561,540,777,260,510,631,829,906,
813,230,237,987,224,762,017,001,717,684,223,037,566,567,019,440,958,022,180,
126,097,852,575,152,165,702,616,127,336,444,792,870,347,555,472,354,680,786,
371,791,689,584,302,315,977,263,979,821,168,969,885,788,221,651,144,062,728,
978,331,890,896,607,615,031,660,083,781,614,147,595,876,853,730,798,668,436,
740,376,656,425,580,434,057,052,279,265,184,544,407,820,238,502,799,489,374,
008,714,730,585,517,612,924,926,866,520,707,776,569,844,547,533,585,996,682,
741,783,891,568,046,278,913,178,140,403,216,931,784,489,627,866,940,403,007,
927,920,586,944,774,915,349,423,601,079,044,400,232,474,447,389,944,109,553,
010,554,635,494,738,739,806,641,990,483,147,240,909,690,327,169,857,959,493,
297,614,317,858,704,156,612,571,573,842,963,864,854,525,707,912,263,482,733,
679,378,349,611,962,431,802,985,422,413,157,313,437,305,543,162,787,003,632,
243,143,456,470,294,566,565,301,390,511,579,462,966,190,393,610,029,967,792,
752,828,610,288,761,428,079,619,501,681,038,091,852,854,219,322,082,275,790,
869,357,733,136,382,766,623,629,242,195,003,137,145,714,880,931,384,600,332,
452,434,770,094,394,565,919,967,962,978,148,022,540,133,081,273,534,802,243,
762,152,124,158,483,476,656,822,972,730,059,089,228,701,535,274,008,797,291,
771,735,549,141,965,438,570,204,256,641,603,999,935,705,581,857,020,774,272,
651,385,626,737,071,707,019,570,402,527,801,298,920,348,903,448,282,888,452,
847,002,403,956,824,851,369,936,575,605,069,082,219,234,731,578,298,664,925,
323,077,861,865,735,848,468,379,827,208,280,840,067,190,112,854,845,119,303,
245,499,562,000,899,108,922,631,880,989,323,362,179,387,612,921,794,243,831,
920,410,082,573,857,189,893,778,772,075,708,667,488,855,439,850,989,020,253,
288,322,885,261,116,576,750,951,239,129,534,060,482,536,129,012,553,569,543,
915,331,085,657,869,433,418,545,563,778,977,632,939,747,401,772,151,540,384,
683,831,279,517,532,365,495,142,078,562,850,978,757,293,543,539,815,653,722,
843,252,580,943,003,394,350,809,329,711,441,824,294,659,226,534,577,073,419,
312,286,688,627,775,742,290,858,576,093,868,265,596,166,819,057,840,767,175,
593,801,660,237,609,855,945,433,052,295,614,578,083,609,437,599,396,024,004,
219,490,897,737,451,527,976,833,368,231,380,502,736,496,848,309,063,649,417,
744,397,619,866,621,758,095,206,860,483,135,172,190,343,741,712,635,437,164,
420,044,272,605,755,926,867,102,110,045,462,190,842,666,658,322,387,614,830,
013,820,989,183,620,778,279,280,496,622,225,071,969,221,877,666,186,147,633,
187,627,308,118,798,957,630,121,760,413,125,062,270,772,790,548,709,154,438,
837,985,506,441,539,733,874,609,896,079,423,353,437,009,175,432,179,573,601,
127,394,549,260,084,955,934,927,867,908,778,710,053,403,290,906,434,592,835,
866,997,268,720,036,244,301,937,891,079,113,494,895,636,767,429,863,325,972,
312,616,691,662,137,722,190,338,521,037,367,973,186,923,296,047,966,578,155,
077,844,703,283,235,553,183,222,930,407,103,625,606,136,502,938,858,434,674,
896,426,966,962,295,857,791,049,548,759,879,183,934,777,614,262,951,829,637,
081,200,690,006,920,017,489,837,852,415,744,865,502,134,068,265,373,266,481,
134,884,484,418,795,384,663,165,846,753,093,265,551,189,607,723,848,854,222,
637,539,490,348,248,892,776,608,884,250,132,151,247,380,246,536,598,265,045,
815,007,996,199,451,050,748,929,871,796,658,319,852,712,769,448,059,751,940,
341,023,477,834,038,997,719,838,873,957,870,261,615,577,905,952,490,120,474,
725,586,149,917,547,232,611,101,208,989,289,939,184,300,970,185,771,382,829,
996,965,483,801,546,946,646,043,498,332,519,996,103,430,614,523,911,442,124,
569,469,034,197,575,341,365,736,756,035,307,194,161,223,326,680,205,688,688,
951,072,686,720,067,379,078,167,149,612,955,623,196,263,327,258,434,913,515,
527,276,863,219,401,798,722,014,205,823,393,637,633,880,621,596,975,707,471,
869,853,842,287,692,450,941,813,264,977,345,931,540,110,938,016,600,136,734,
046,761,565,167,774,848,321,585,351,242,099,410,386,338,763,117,241,488,639,
314,308,057,727,787,499,757,277,293,721,500,936,485,414,667,089,178,631,320,
180,823,697,501,587,386,165,451,068,554,731,896,685,236,194,826,439,565,146,
474,574,299,045,845,232,974,044,719,015,992,458,275,519,215,153,529,049,941,
817,355,723,950,604,562,291,928,706,937,406,550,588,980,337,413,090,115,503,
312,877,696,877,916,617,105,804,574,987,518,751,510,027,820,080,927,590,785,
692,885,882,946,516,103,362,760,373,447,217,691,284,856,950,615,084,410,531,
304,706,316,896,429,395,940,272,107,330,033,809,458,395,283,406,503,709,008,
874,382,329,505,611,883,648,635,443,947,710,911,667,253,415,567,707,390,135,
208,199,009,863,174,509,555,269,145,866,479,647,395,590,205,704,095,626,919,
107,026,305,302,703,352,044,772,753,871,836,722,448,288,018,273,729,128,411,
725,550,073,645,480,353,645,425,583,457,549,204,630,810,904,714,964,590,775,
490,707,512,266,330,137,921,465,631,559,241,597,932,097,613,780,397,685,276,
917,508,371,680,997,107,208,255,277,428,792,985,407,252,950,355,935,852,389,
171,667,492,964,528,818,322,135,496,495,202,306,584,559,083,075,808,173,532,
632,996,047,180,391,939,792,211,620,920,144,401,269,466,884,972,234,327,584,
974,591,962,590,491,683,647,835,563,679,105,549,584,967,592,165,311,103,686,
718,655,337,835,779,559,397,135,921,946,632,437,491,925,709,898,492,730,331,
721,297,629,954,296,925,537,988,377,141,375,961,026,090,918,683,215,637,167,
593,278,293,184,204,898,053,579,388,493,089,327,165,485,782,382,685,215,088,
239,358,920,982,273,405,929,177,736,098,417,163,254,999,288,017,189,214,260,
257,403,237,870,341,628,773,506,252,237,078,342,081,295,483,996,441,420,461,
464,746,947,351,942,384,373,737,113,225,541,087,661,718,328,260,923,506,544,
256,715,484,996,216,005,644,912,479,429,002,804,847,055,297,943,361,912,975,
005,708,248,013,485,502,227,837,668,617,175,842,020,426,405,296,682,702,257,
216,285,072,189,854,136,307,169,444,396,552,126,330,497,539,153,629,475,242,
146,300,730,164,856,775,031,204,217,207,767,807,496,514,496,450,867,507,156,
346,077,278,369,348,772,735,115,272,158,992,280,147,430,769,340,544,124,593,
418,816,986,870,900,074,627,882,403,111,537,128,775,961,954,201,903,622,977,
238,685,284,314,016,116,261,934,822,206,194,871,472,548,719,887,064,427,420,
272,940,144,069,680,610,577,381,834,613,410,432,746,819,063,416,481,873,497,
697,501,799,989,688,636,709,718,321,198,498,184,261,308,717,306,671,023,901,
161,447,671,661,454,614,736,975,299,446,699,587,952,511,106,830,317,543,374,
578,499,590,825,888,383,662,140,365,208,135,649,587,206,271,353,591,336,362,
389,638,369,950,095,904,923,592,368,589,172,632,154,590,932,107,678,716,495,
022,299,580,764,938,669,530,715,633,363,106,846,230,960,043,622,865,154,120,
328,380,064,657,297,175,909,693,254,416,083,436,032,798,687,282,705,694,681,
812,941,968,621,413,167,461,269,044,041,969,990,168,485,172,824,091,496,365,
851,665,689,100,431,496,392,498,369,189,118,669,981,605,056,607,846,192,705,
835,957,346,800,161,497,814,684,266,431,703,466,615,766,121,347,334,222,475,
024,442,800,015,815,285,008,608,595,126,178,824,965,399,319,776,870,339,593,
168,578,293,925,627,477,614,177,838,685,945,567,772,481,310,138,074,671,519,
049,008,418,802,310,368,045,074,425,910,739,094,998,507,948,135,196,496,063,
135,777,074,201,276,377,821,058,011,236,990,554,411,976,042,936,148,140,772,
014,347,805,505,564,728,382,502,794,384,342,899,131,271,765,435,407,337,296,
853,841,859,822,680,139,491,629,789,825,328,203,840,256,405,496,234,592,199,
021,236,307,880,992,208,165,782,878,537,044,837,291,103,187,677,174,370,500,
822,814,290,866,874,734,012,135,308,847,958,165,810,764,793,124,814,804,271,
616,720,065,469,272,670,968,621,032,410,919,181,538,873,761,847,825,707,636,
762,246,492,517,573,193,760,883,308,334,215,718,377,945,390,754,946,773,963,
051,882,850,326,655,809,141,937,067,256,418,672,449,773,051,144,904,809,072,
814,062,929,085,950,635,300,544,753,777,823,685,370,722,220,174,779,089,833,
818,063,737,490,807,194,972,518,352,332,216,584,587,430,727,484,361,143,447,
311,990,844,720,613,647,916,037,564,249,247,986,426,916,113,946,450,119,115,
972,771,221,679,475,844,369,504,221,123,302,297,997,594,710,424,240,296,035,
780,784,509,585,204,945,451,006,585,100,484,556,441,438,349,617,248,359,040,
924,238,689,946,797,388,308,050,155,263,293,698,186,118,532,354,124,362,301,
907,663,396,541,512,739,024,443,826,565,442,370,560,852,134,018,772,648,062,
486,886,132,943,310,180,579,351,261,257,841,812,266,236,031,683,433,394,280,
048,944,175,407,420,874,293,678,876,334,718,678,027,590,884,849,954,414,840,
054,899,418,979,488,539,578,507,455,254,140,992,435,054,148,293,901,881,144,
316,089,033,843,732,193,234,033,434,812,254,109,504,998,564,660,108,121,636,
892,108,935,268,292,320,018,747,330,834,051,997,391,644,902,479,148,826,887,
039,726,706,849,190,807,919,610,500,154,726,591,892,667,531,902,285,905,818,
461,274,397,487,008,103,486,327,199,702,228,989,648,469,938,436,825,283,900,
358,835,544,343,937,751,404,744,567,045,601,822,312,772,349,070,526,197,169,
077,887,894,477,415,007,506,325,487,355,201,922,016,030,563,036,728,239,803,
135,548,884,637,641,271,050,141,058,730,620,197,209,209,348,719,805,869,636,
135,322,967,898,447,381,648,052,552,567,720,247,393,506,754,377,451,878,718,
947,790,685,101,582,023,968,722,466,963,848,368,187,732,348,388,229,703,598,
665,825,625,697,417,864,397,572,443,521,091,385,547,502,937,056,584,275,045,
172,623,731,079,657,175,081,052,951,705,574,766,408,404,976,415,277,893,645,
032,443,679,569,867,077,966,276,694,962,761,827,370,547,032,169,215,642,259,
442,124,990,538,083,545,696,732,700,214,320,783,792,676,413,533,390,921,901,
309,346,830,077,957,057,996,410,779,046,590,503,237,082,213,919,097,243,018,
446,223,857,544,205,448,986,441,994,230,855,651,665,992,990,420,551,824,559,
358,649,734,836,611,287,978,192,941,829,699,316,250,071,227,150,623,511,890,
399,165,021,386,258,860,581,057,380,613,711,540,924,844,405,928,314,187,168,
569,747,781,308,186,979,165,502,733,342,961,508,612,275,254,104,970,575,208,
344,035,660,299,929,490,745,976,852,887,811,003,468,703,905,437,514,472,787,
845,375,826,368,353,880,124,468,798,415,127,751,370,593,780,273,751,698,853,
299,502,409,602,712,340,638,776,145,103,513,006,153,528,822,139,590,308,769,
829,976,296,804,071,033,625,823,630,715,007,235,904,867,261,247,197,955,491,
941,718,665,868,432,456,849,860,271,968,604,249,798,420,193,608,036,283,061,
077,260,607,527,476,219,138,907,364,762,766,198,676,669,228,150,489,698,580,
423,450,230,644,438,209,614,214,669,912,449,806,268,352,358,244,720,599,310,
680,601,961,723,659,252,208,606,756,513,859,442,309,191,544,214,814,116,232,
319,237,123,923,714,960,200,045,267,406,305,953,148,944,097,684,242,166,313,
215,909,183,239,869,759,746,561,245,888,292,321,704,601,120,737,921,089,502,
344,530,632,621,483,325,420,583,391,141,049,850,965,216,943,213,209,522,191,
486,048,189,122,370,855,370,106,521,609,816,411,587,639,423,348,603,429,841,
085,402,801,685,183,826,538,906,545,728,481,152,815,777,593,734,303,313,891,
929,393,091,426,664,884,723,586,672,808,633,302,488,491,073,827,349,258,501,
321,624,850,328,804,775,327,761,650,433,641,963,566,574,431,036,348,038,777,
933,694,160,680,526,825,249,467,919,889,184,533,776,401,276,637,685,762,046,
520,461,548,067,429,619,911,353,821,680,398,678,803,083,261,064,283,640,934,
295,412,248,288,266,905,306,404,301,204,071,839,808,041,347,829,473,469,338,
169,792,176,683,613,020,334,586,231,679,964,431,290,586,071,900,312,470,654,
857,692,210,842,031,964,760,974,353,370,622,496,558,350,044,853,990,897,654,
129,766,747,778,988,372,832,220,634,370,921,365,820,645,959,096,566,190,473,
689,481,493,846,029,225,854,120,495,693,786,208,021,772,482,481,507,020,054,
783,413,725,018,703,224,528,057,522,324,409,319,938,161,693,792,807,174,860,
009,626,143,539,686,358,194,747,087,375,475,324,578,879,034,951,029,732,458,
907,887,916,129,567,810,273,009,757,546,447,988,922,758,338,667,800,432,678,
676,923,853,535,491,373,636,586,545,699,987,228,047,844,460,566,149,755,671,
544,920,604,525,941,351,832,126,607,319,115,121,031,234,263,612,834,890,729,
011,852,181,175,474,926,225,590,449,075,558,646,747,645,648,880,227,694,105,
241,307,008,235,228,102,045,496,129,683,221,415,842,082,346,543,608,563,854,
727,274,982,178,625,361,051,811,576,772,628,973,963,457,211,776,679,958,755,
677,604,495,539,752,491,106,392,253,672,101,792,749,961,147,401,707,216,241,
416,476,685,126,951,829,820,820,705,117,404,578,237,864,984,366,497,151,494,
135,256,123,711,723,082,353,181,351,799,376,460,565,930,724,354,915,307,897,
553,449,802,687,349,390,597,711,576,523,338,232,675,429,054,108,473,843,621,
762,002,090,064,178,204,358,469,899,334,567,248,680,999,922,305,933,718,667,
139,013,439,817,476,361,643,108,093,474,567,679,386,744,174,741,263,203,703,
033,889,375,838,054,618,817,147,904,380,427,768,342,010,660,092,724,115,510,
783,487,721,556,216,194,728,250,136,195,305,130,910,128,133,264,929,212,846,
202,141,724,810,064,263,967,053,055,706,079,927,649,765,758,954,440,784,911,
619,484,979,878,500,831,994,684,805,752,177,485,713,374,482,462,737,193,744,
440,551,461,175,832,569,086,248,057,073,440,067,125,871,552,885,748,775,149,
520,694,819,059,636,722,394,391,151,049,331,431,890,279,122,227,676,280,194,
805,795,009,080,797,304,708,732,185,736,078,098,377,496,274,212,655,758,173,
599,752,664,981,925,507,691,651,922,478,657,736,522,455,013,335,506,303,652,
523,091,691,813,936,512,953,512,218,958,002,087,553,500,355,166,582,791,622,
369,785,107,900,825,516,766,215,034,681,390,754,965,899,468,835,370,413,277,
102,700,074,270,662,666,293,206,530,893,256,134,382,903,484,239,797,448,690,
055,259,486,847,992,151,507,203,065,986,723,010,915,086,179,240,489,104,645,
503,862,479,465,466,014,380,288,968,162,679,888,245,250,654,581,899,484,112,
483,227,639,988,497,273,188,841,459,458,271,234,599,257,341,629,604,869,125,
227,035,223,141,322,954,071,893,847,979,674,949,012,696,318,718,118,357,620,
026,346,864,783,100,541,317,589,835,566,108,600,195,600,219,020,650,235,636,
360,820,740,377,194,496,726,091,530,667,757,448,061,536,815,877,239,377,134,
251,810,525,230,884,113,721,182,097,515,699,840,492,848,154,701,737,781,398,
649,106,702,323,920,895,305,348,661,777,540,498,363,569,311,404,415,838,900,
492,960,759,288,359,321,051,075,418,912,503,888,011,909,662,684,177,504,178,
654,282,010,149,424,705,046,985,147,772,817,043,122,325,641,451,175,607,384,
073,925,412,107,958,455,077,170,533,678,166,013,186,147,136,887,435,761,776,
024,304,899,465,524,798,729,746,055,113,000,362,060,738,235,178,943,867,103,
325,343,302,894,375,459,959,924,874,344,907,202,908,202,924,061,126,633,384,
051,226,360,327,274,616,270,301,910,035,027,207,892,927,532,988,728,845,267,
912,522,997,281,042,025,681,833,524,551,442,961,104,642,292,071,753,811,991,
382,406,347,242,641,463,144,510,534,523,586,225,262,514,637,071,996,825,102,
733,321,024,015,572,873,898,095,999,686,046,651,550,836,420,991,505,311,875,
560,948,820,044,814,104,944,164,921,867,523,369,718,236,323,165,559,747,167,
967,886,634,632,274,714,486,638,176,347,843,417,440,666,811,704,810,170,927,
364,233,806,310,398,728,719,993,122,739,508,345,907,712,191,784,666,265,327,
346,443,510,215,052,684,905,875,824,946,959,811,877,106,545,302,802,547,959,
493,402,225,773,504,851,799,798,920,240,071,687,103,079,089,187,428,883,627,
580,120,885,387,810,956,153,475,712,616,611,087,975,247,418,378,642,325,758,
756,151,252,299,988,148,497,757,610,775,387,733,877,234,486,486,731,849,927,
215,586,102,116,218,332,078,224,356,173,347,646,073,726,631,370,578,215,018,
512,975,011,334,672,078,957,547,776,429,737,933,638,475,452,436,022,501,006,
325,409,557,808,345,686,309,725,806,144,092,439,154,390,557,156,599,833,574,
662,629,760,161,599,749,901,573,410,101,032,283,438,325,402,362,354,312,086,
426,498,170,951,311,448,247,019,956,374,091,276,541,533,537,392,291,767,319,
927,481,162,328,019,627,996,876,144,807,659,948,590,613,910,466,087,562,761,
751,557,034,448,825,188,140,490,123,820,753,872,230,421,800,618,638,735,655,
439,100,482,351,898,542,623,364,833,697,672,403,196,576,779,755,211,109,441,
126,597,789,382,819,919,988,435,231,677,967,588,850,465,057,425,834,398,619,
520,873,408,430,750,513,045,553,497,274,811,893,623,760,546,399,095,908,665,
646,300,988,998,691,482,915,598,845,285,160,806,091,128,683,313,028,952,122,
006,579,399,449,857,584,536,953,541,206,047,267,849,396,421,134,757,357,484,
279,279,759,756,272,194,187,708,677,430,882,339,380,827,938,545,967,238,848,
355,239,549,925,129,374,342,788,282,288,728,021,792,364,510,114,857,262,258,
800,829,460,328,322,026,318,070,194,359,597,166,817,882,523,900,237,163,338,
795,323,227,129,697,818,209,715,089,036,784,157,899,856,611,450,171,701,387,
528,048,232,815,150,536,005,311,499,731,252,125,361,024,142,313,217,531,430,
755,774,655,789,744,369,866,929,629,098,548,786,696,449,835,647,503,432,645,
554,802,875,256,300,379,172,248,554,246,185,629,005,064,096,798,395,544,523,
200,462,588,128,050,706,152,263,595,120,027,885,602,735,246,452,733,441,763,
124,868,826,168,820,171,620,451,430,862,669,231,601,588,343,907,471,249,516,
079,261,542,381,377,187,895,180,335,788,166,083,393,543,812,087,923,400,956,
985,143,121,647,882,792,073,303,187,416,961,047,536,680,136,928,102,124,873,
983,339,570,295,037,975,727,138,516,021,206,213,663,500,546,309,464,174,423,
336,183,600,178,160,384,976,621,613,481,165,776,562,605,755,880,584,839,689,
410,301,082,529,606,200,026,281,666,596,159,891,417,025,162,118,116,610,207,
663,923,918,113,172,128,456,992,791,049,274,748,749,156,766,375,801,434,155,
917,068,022,987,808,490,643,062,375,461,713,898,559,968,328,687,003,844,957,
370,060,066,308,639,795,335,158,860,196,373,631,781,618,748,203,374,751,298,
738,725,875,781,602,945,058,567,219,404,094,623,114,884,433,747,969,693,144,
042,571,918,390,595,342,446,649,391,756,084,030,637,108,495,740,890,234,129,
599,470,257,314,866,474,577,969,552,642,819,576,325,919,745,806,881,542,417,
971,770,668,252,781,115,201,770,645,729,643,537,768,504,051,072,251,421,075,
894,603,584,893,687,721,310,053,685,672,467,639,913,924,061,275,818,317,577,
311,520,746,198,265,142,485,629,645,263,861,013,298,685,266,420,253,032,806,
220,528,633,117,271,230,009,759,503,496,832,149,150,724,589,217,419,104,474,
182,633,269,687,067,247,921,296,091,156,069,796,171,266,327,382,166,978,900,
741,574,616,910,844,017,639,012,044,467,540,773,563,809,163,115,888,479,458,
474,213,833,295,991,000,062,851,035,308,336,720,950,264,275,441,080,500,567,
334,786,349,642,010,232,040,789,986,583,737,508,762,704,148,264,531,338,133,
436,362,252,460,478,514,790,343,965,306,071,044,338,668,609,134,079,567,754,
721,075,854,509,134,334,498,289,814,096,395,207,787,879,951,578,606,330,240,
682,351,539,384,641,652,984,103,075,040,808,272,481,791,769,659,330,691,380,
356,972,758,181,401,726,168,106,872,832,585,181,969,450,331,000,221,526,649,
603,039,211,669,479,431,571,111,415,343,436,353,391,677,437,912,796,311,496,
601,722,105,902,036,457,481,775,518,212,473,752,682,540,545,673,578,820,469,
739,060,439,576,520,902,236,520,799,922,171,420,121,132,520,088,529,759,182,
465,044,156,698,541,283,089,270,731,123,087,637,609,026,821,517,459,331,786,
848,900,563,335,640,198,379,411,903,068,067,674,777,290,217,903,047,221,032,
150,659,496,069,260,245,727,411,862,219,574,862,294,413,818,899,737,843,175,
936,200,609,398,469,899,968,024,563,336,089,943,483,189,516,400,474,192,067,
677,310,057,238,024,668,861,095,430,813,326,849,273,900,288,311,241,465,412,
210,647,608,791,245,807,390,917,764,958,459,064,237,384,503,790,625,835,895,
499,142,948,569,168,775,997,747,543,189,485,475,267,115,266,123,463,729,339,
944,327,797,819,322,589,034,882,267,832,645,496,640,888,727,655,568,218,366,
523,965,533,334,050,575,451,788,963,201,577,731,356,788,200,242,125,451,172,
848,610,991,762,981,403,430,390,055,900,278,998,504,366,606,144,446,052,575,
749,079,631,341,235,548,404,090,530,547,584,829,844,217,136,025,188,593,232,
422,422,239,784,404,691,346,827,625,191,094,671,374,050,141,542,793,604,990,
979,370,198,289,956,712,070,415,653,924,001,063,129,615,322,952,687,458,234,
690,231,468,776,971,284,903,470,900,237,740,250,794,282,919,309,812,550,100,
590,755,306,845,323,432,770,912,471,033,615,499,300,225,316,428,236,569,596,
297,656,395,125,054,865,655,885,233,085,186,803,393,676,028,780,928,236,159,
748,804,623,551,228,207,039,928,211,384,625,697,670,984,044,263,093,449,813,
787,086,218,359,829,919,172,118,200,049,272,736,227,214,484,259,675,315,315,
952,515,150,572,024,155,054,519,866,690,532,464,010,761,860,745,778,555,757,
206,267,523,100,281,727,400,781,478,294,502,562,498,090,797,598,905,606,666,
638,044,944,704,105,878,140,412,813,561,771,119,413,967,615,054,936,619,320,
154,369,003,288,119,180,469,408,397,770,743,037,491,910,690,874,625,136,097,
236,835,000,638,319,217,415,106,673,833,154,868,121,901,342,600,861,507,042,
727,339,077,814,171,027,838,627,030,739,230,748,257,401,910,986,576,264,791,
740,113,079,944,825,359,350,779,431,641,902,348,111,768,966,055,297,995,864,
114,784,054,937,171,259,222,279,290,510,008,044,042,888,754,537,676,388,555,
339,554,083,077,537,135,162,228,044,733,524,713,119,153,299,112,156,981,674,
288,127,236,980,084,697,154,751,515,050,475,787,724,905,792,673,337,071,281,
979,536,947,567,175,598,715,009,167,026,610,021,557,559,968,947,479,167,199,
259,352,168,881,439,522,272,603,083,488,324,528,638,785,796,360,328,578,382,
700,523,808,827,122,456,967,641,215,330,633,086,489,367,040,391,230,665,172,
697,993,747,060,275,739,345,347,549,610,466,368,128,873,360,158,782,276,308,
707,323,980,906,132,097,398,908,181,482,553,115,622,087,943,019,025,492,988,
975,981,528,573,126,614,347,548,981,619,814,533,404,991,924,571,363,708,216,
052,821,376,805,909,583,327,046,183,004,268,108,337,709,478,409,374,185,230,
999,832,147,176,149,844,913,904,744,356,040,300,312,480,464,644,482,833,369,
239,299,374,294,410,294,780,650,234,343,089,313,651,079,317,509,591,435,907,
942,311,742,638,195,034,949,302,007,156,147,876,817,221,037,669,763,677,207,
102,382,525,548,898,095,964,619,770,934,667,259,534,310,885,303,711,805,001,
003,443,728,716,822,554,066,602,080,301,126,087,013,459,022,286,430,345,644,
678,063,946,353,112,971,047,418,153,884,201,423,254,877,194,573,976,401,327,
653,478,893,054,319,862,163,803,895,258,727,701,263,577,932,684,875,130,723,
532,502,322,523,087,197,809,924,458,140,785,821,442,379,751,610,375,764,730,
692,106,306,759,196,398,566,816,144,704,885,215,666,329,987,132,577,698,508,
964,397,376,103,233,352,927,925,942,783,432,745,962,709,487,037,888,857,787,
601,640,323,285,541,220,790,660,660,247,008,248,132,278,935,717,011,602,416,
317,771,311,137,575,371,166,842,224,007,860,435,515,163,291,816,620,534,695,
442,617,073,393,687,808,310,873,772,943,593,104,504,850,584,409,573,957,193,
388,905,016,676,096,639,686,463,299,533,221,707,807,674,476,289,662,729,281,
808,024,700,206,892,812,096,459,659,347,866,293,974,033,823,052,785,047,579,
695,057,668,848,493,234,966,446,937,241,392,485,601,689,723,423,131,198,380,
407,292,376,231,013,455,174,510,300,932,079,175,276,207,731,728,291,970,155,
550,028,138,630,656,444,479,089,954,709,812,921,674,076,957,169,993,655,119,
430,672,451,195,370,030,988,841,722,529,903,163,922,309,031,635,697,979,832,
329,273,944,667,395,159,584,577,706,076,252,309,364,353,958,026,673,381,852,
652,701,388,586,354,310,781,998,756,080,553,156,722,546,540,711,342,724,671,
763,418,238,786,559,520,177,182,376,678,563,006,487,020,798,135,329,485,359,
865,701,229,900,428,643,046,012,815,309,017,447,165,626,586,910,683,886,766,
838,102,206,785,606,964,240,215,044,659,733,684,021,005,722,570,184,391,247,
814,562,206,950,517,252,152,018,736,580,531,067,967,578,518,297,284,809,300,
866,348,377,975,701,125,609,653,672,910,517,122,827,598,348,366,295,193,738,
363,482,415,063,430,756,186,737,433,191,280,938,298,126,227,350,010,921,051,
007,163,951,198,518,809,739,297,246,186,644,333,480,048,006,176,980,768,177,
017,200,880,031,611,410,329,894,677,037,289,774,517,533,793,948,577,917,957,
095,614,645,768,102,855,528,716,444,116,971,091,218,145,596,655,544,395,796,
660,597,748,250,779,085,948,593,757,397,679,870,740,507,121,114,031,489,961,
956,156,490,175,377,180,257,133,203,909,967,649,483,958,221,819,185,340,065,
372,084,999,569,064,308,943,196,428,158,923,764,311,450,008,983,484,484,037,
993,939,480,362,557,497,226,963,940,783,218,400,352,564,745,960,728,206,743,
811,821,187,449,814,517,029,949,243,945,298,068,569,608,603,886,632,322,302,
077,105,896,978,122,273,502,504,829,584,184,355,514,625,878,399,153,425,887,
688,841,891,205,190,717,138,683,424,876,577,054,953,869,657,463,568,621,940,
581,829,435,179,174,387,185,666,488,598,706,899,181,782,639,927,266,757,269,
400,740,377,712,820,976,112,049,235,331,666,367,079,498,409,959,208,046,086,
031,337,390,134,829,316,285,607,355,783,520,136,177,508,602,302,189,130,766,
208,963,601,196,334,361,968,409,702,485,614,194,210,444,500,566,550,006,025,
197,692,511,066,165,891,310,972,217,458,345,198,566,350,029,964,577,627,726,
493,949,441,740,577,801,059,258,780,269,332,008,873,088,039,829,329,928,759,
830,194,313,916,322,099,985,004,782,968,371,489,195,657,347,756,752,227,797,
911,483,676,113,401,969,655,881,411,089,397,091,667,280,215,018,648,188,507,
034,945,016,268,822,370,182,452,093,785,453,627,285,322,581,454,812,998,989,
260,881,038,857,860,979,163,496,426,436,718,222,793,160,943,741,535,754,349,
785,755,815,130,836,731,041,823,302,442,363,112,151,684,626,027,882,429,813,
718,463,547,951,176,541,139,919,253,864,057,516,332,416,111,779,094,216,887,
492,804,279,492,622,181,054,883,570,481,271,724,074,484,729,937,552,188,197,
492,401,387,401,383,428,087,970,976,391,977,847,308,202,400,376,690,410,163,
230,720,690,206,503,849,601,865,994,544,518,064,294,944,669,198,606,905,417,
354,431,888,211,180,286,456,177,421,613,592,791,342,056,505,294,483,103,286,
999,071,770,337,914,399,340,122,311,779,523,805,156,418,827,062,458,745,893,
852,915,395,986,704,066,811,146,158,106,987,375,962,974,219,333,303,880,681,
009,130,257,429,606,919,422,767,475,595,944,099,179,767,126,649,188,199,267,
381,221,121,471,502,537,871,783,926,464,064,230,776,545,990,431,971,446,806,
978,307,020,297,237,919,251,324,267,080,146,008,921,612,202,470,843,469,950,
249,543,541,096,611,294,921,506,936,568,560,414,577,777,483,765,992,214,519,
870,558,112,455,852,516,647,202,217,563,794,507,198,129,648,934,177,015,091,
686,279,038,636,126,998,887,371,656,095,837,606,452,652,025,390,293,803,361,
826,730,499,392,478,062,290,552,298,985,552,887,043,772,357,703,010,478,171,
926,063,088,820,663,234,639,794,005,928,346,433,915,763,186,068,573,270,949,
887,729,876,200,810,823,441,021,012,676,797,086,898,435,533,602,668,112,873,
710,287,160,358,944,052,066,105,077,931,144,954,835,778,912,069,428,846,442,
238,414,614,629,822,660,289,711,268,117,717,549,249,521,399,186,368,607,443,
560,283,253,659,374,106,638,812,426,024,622,633,778,086,061,707,803,928,412,
008,081,385,486,377,521,477,650,120,358,036,933,664,215,791,700,506,410,488,
498,991,166,502,683,918,585,505,615,798,291,646,400,232,185,695,383,117,340,
528,307,461,847,162,840,171,217,706,424,711,766,512,125,029,880,399,490,418,
954,447,134,582,954,600,378,061,365,112,472,086,165,806,469,581,795,710,443,
266,750,577,878,166,829,600,971,586,498,930,117,258,713,620,258,149,977,806,
770,415,256,136,481,726,214,242,413,922,378,134,464,198,437,284,899,285,845,
649,148,489,216,503,987,332,531,974,948,440,531,009,217,218,904,577,777,321,
237,492,223,003,088,838,596,503,781,773,557,684,317,890,602,866,074,302,273,
555,230,662,945,955,116,338,576,599,911,565,472,778,222,968,025,005,723,890,
489,217,774,741,789,431,009,633,002,961,840,123,860,662,024,693,320,599,439,
857,861,323,989,134,301,221,999,764,479,915,023,750,096,454,904,569,104,135,
924,360,357,978,832,252,491,281,573,622,370,204,351,656,487,912,892,748,867,
405,214,886,700,237,094,806,335,795,170,806,983,311,415,750,713,830,176,401,
268,673,201,141,813,322,284,443,255,580,584,561,610,730,876,682,059,307,477,
593,671,297,661,863,855,945,864,203,554,540,085,136,169,858,894,704,171,935,
527,289,778,335,342,068,841,270,838,926,847,246,246,775,794,915,453,266,318,
452,830,181,121,574,311,705,496,337,457,492,523,697,769,333,456,456,536,316,
676,727,488,447,140,287,590,815,553,037,295,065,715,230,702,562,041,467,687,
793,750,953,409,263,002,355,707,342,945,215,555,714,644,411,745,709,563,815,
995,917,356,758,049,922,946,284,739,967,449,500,297,534,450,370,781,413,307,
357,238,996,322,823,055,473,742,188,549,875,896,654,179,686,924,799,027,807,
060,933,156,464,947,758,199,652,892,796,435,583,349,143,781,374,317,975,709,
694,420,917,773,155,095,979,305,135,374,955,809,379,886,582,956,523,298,707,
213,894,498,962,451,941,236,705,206,154,952,657,712,672,960,543,632,041,826,
087,221,893,973,427,411,397,494,878,353,100,411,100,456,665,778,042,202,266,
777,971,794,772,443,952,916,685,417,622,251,770,117,580,278,780,708,319,246,
082,359,069,270,330,138,126,481,852,867,494,972,182,391,346,534,396,987,382,
281,708,759,605,756,815,488,726,187,934,445,386,728,653,804,641,039,538,920,
821,978,063,262,599,347,698,582,211,698,949,098,753,108,196,833,898,546,309,
571,141,552,192,498,326,873,586,513,821,580,631,831,130,791,429,059,273,243,
365,214,225,238,532,870,159,640,301,920,940,038,282,387,602,081,422,718,101,
198,890,370,537,540,079,476,784,744,676,476,421,254,822,847,632,675,469,933,
838,215,345,893,308,872,142,924,976,354,016,997,438,411,524,310,420,757,826,
725,022,779,212,588,089,875,755,277,522,415,008,491,433,326,912,283,283,907,
109,154,760,462,916,965,770,822,372,717,316,683,439,193,515,094,423,258,740,
852,207,727,157,308,099,589,760,049,487,110,559,688,119,465,826,086,749,100,
760,139,723,577,574,717,564,474,958,892,866,103,951,271,320,248,951,522,444,
147,103,190,112,882,895,019,065,982,580,220,087,624,712,141,451,250,026,467,
854,491,217,512,965,141,620,223,337,255,559,873,206,477,787,768,892,109,240,
504,470,254,084,323,564,777,415,194,071,563,848,416,497,973,039,345,329,377,
756,158,512,126,080,442,935,719,554,809,134,613,703,346,933,588,229,664,153,
469,214,660,529,854,734,770,760,057,272,469,655,727,006,600,057,668,824,333,
874,174,943,353,385,049,669,958,855,445,872,932,061,048,793,996,205,176,088,
940,058,619,940,956,657,436,271,916,879,671,471,497,655,130,550,341,528,361,
322,072,441,878,048,898,049,862,166,635,924,114,477,045,763,918,867,366,976,
757,119,442,237,667,736,700,648,546,242,678,123,641,044,651,292,121,123,661,
876,784,271,027,880,995,765,849,496,687,933,201,929,257,566,870,582,077,465,
040,863,906,667,486,640,108,550,091,961,555,414,145,956,571,399,727,996,583,
435,122,155,887,544,221,345,863,974,889,992,310,344,648,015,234,050,727,564,
540,955,709,692,530,527,185,711,778,636,168,450,530,464,797,167,121,226,355,
482,206,458,366,429,297,129,445,113,363,654,491,102,876,392,843,551,852,224,
222,134,408,896,713,961,850,179,519,567,751,157,709,219,287,598,892,383,114,
532,633,521,185,040,513,317,008,215,964,687,874,020,595,905,704,470,181,621,
121,768,301,940,303,116,120,106,558,374,779,013,582,381,881,294,121,368,172,
159,583,414,784,048,601,204,367,803,622,804,247,497,922,474,859,042,167,392,
850,486,162,444,506,680,237,596,881,139,160,679,563,697,514,041,100,449,354,
529,494,024,451,869,224,052,690,426,265,726,116,083,667,066,722,069,660,110,
582,162,866,051,052,427,225,221,802,549,638,671,240,689,115,214,833,191,887,
645,018,107,770,186,255,408,443,399,056,883,382,162,770,958,828,830,249,597,
687,305,118,286,055,144,011,213,913,428,871,575,607,724,475,136,994,137,009,
025,095,747,110,889,162,636,643,350,903,271,593,450,054,033,922,629,624,392,
123,722,666,884,633,110,669,032,754,916,363,262,398,858,944,703,349,914,422,
968,014,781,418,714,955,619,634,150,634,393,755,997,941,025,319,679,396,244,
123,771,109,684,870,995,763,679,780,533,105,768,117,303,376,549,618,281,568,
266,663,693,870,133,030,328,011,831,521,706,443,082,772,557,097,188,550,957,
335,431,728,290,385,487,216,520,809,704,522,756,366,725,423,263,063,302,347,
471,315,467,649,910,845,567,993,158,178,075,268,116,379,266,067,094,253,428,
161,110,497,458,117,656,674,233,430,265,136,086,151,903,101,677,538,810,808,
815,835,901,254,230,094,630,852,328,491,838,264,700,583,317,001,866,193,381,
986,505,758,045,715,526,283,955,053,183,799,597,991,052,892,977,933,128,187,
896,345,595,340,678,034,966,364,242,658,315,982,631,089,083,154,641,580,128,
744,355,410,662,378,218,922,460,228,418,938,364,880,389,868,924,912,494,978,
843,054,235,871,946,863,038,813,414,360,911,497,574,898,692,097,204,597,861,
788,420,815,967,178,989,684,667,051,432,285,843,267,132,682,866,613,829,448,
624,905,671,655,177,749,414,127,978,660,024,123,319,500,321,546,754,580,309,
378,902,130,788,580,992,991,292,802,523,948,599,867,404,677,666,678,176,112,
940,213,629,857,302,455,106,766,846,790,971,322,629,513,306,091,749,621,063,
802,951,498,121,436,452,837,671,839,329,954,287,569,669,127,330,476,772,570,
949,458,319,346,168,080,851,901,413,385,365,123,950,591,680,549,437,983,247,
724,311,755,261,834,957,668,022,074,049,347,670,703,543,631,468,198,223,569,
814,076,414,659,765,612,960,621,859,425,109,428,116,732,534,503,415,071,299,
765,087,725,538,543,692,698,886,170,490,704,678,953,333,063,570,733,777,984,
099,488,022,462,143,015,718,316,352,073,877,809,754,115,412,402,685,495,294,
053,864,400,370,673,788,557,727,012,185,465,888,762,856,801,461,808,023,019,
988,989,708,062,711,268,338,473,541,116,640,364,764,367,487,650,209,567,656,
215,567,457,374,329,497,983,236,714,312,011,925,872,598,217,947,551,400,273,
267,650,396,845,396,435,053,597,844,770,794,877,661,457,455,465,547,668,397,
245,122,474,248,981,747,945,393,249,267,282,194,597,280,060,733,305,833,495,
184,358,978,386,962,061,401,579,646,203,216,180,133,691,932,682,404,158,406,
849,192,368,418,710,909,001,371,000,895,946,886,408,146,968,576,398,345,543,
127,998,254,508,770,864,890,640,551,329,691,692,341,900,298,816,231,202,272,
840,830,575,337,023,930,480,001,189,295,316,950,657,468,876,886,384,894,672,
786,992,400,590,664,955,485,427,446,050,725,025,739,603,182,142,532,931,834,
345,533,096,763,080,758,562,748,781,325,312,474,395,524,755,748,076,700,735,
704,868,331,811,166,420,074,198,685,495,352,930,263,400,943,472,167,764,852,
788,635,859,246,596,958,982,460,049,514,487,844,615,049,877,083,494,303,657,
255,378,403,235,890,998,566,236,851,161,758,876,927,305,086,112,114,682,861,
190,206,946,683,229,180,296,708,683,740,570,475,626,106,000,333,477,813,155,
616,858,737,810,399,826,556,276,738,028,818,402,763,311,142,016,400,223,449,
772,549,832,600,479,757,709,626,833,786,405,767,622,712,034,816,054,980,180,
282,602,348,443,987,915,780,912,318,629,790,999,129,625,484,818,208,537,417,
702,496,782,976,439,717,059,462,443,074,333,684,711,796,635,796,267,998,571,
160,025,460,881,829,410,759,550,190,325,949,547,739,234,442,361,306,898,656,
555,789,565,734,439,661,108,123,308,351,059,176,389,891,774,494,114,708,711,
351,399,641,720,486,499,691,764,515,711,543,891,160,865,167,518,912,642,555,
383,893,760,012,942,825,507,910,743,990,867,093,228,826,763,256,541,830,382,
227,131,472,718,775,876,624,445,749,014,744,690,923,939,490,881,579,226,214,
493,998,822,627,788,973,589,170,861,860,795,798,190,296,920,309,933,052,784,
815,003,071,374,258,196,467,643,186,469,207,161,407,187,028,339,306,901,931,
799,150,046,383,151,762,045,341,976,872,939,988,023,512,947,721,122,911,767,
308,006,540,396,291,784,077,916,627,369,634,294,800,612,298,455,070,702,628,
895,478,101,278,613,200,649,181,415,455,491,307,853,809,826,033,131,687,374,
223,587,592,095,658,676,917,085,329,634,661,570,943,579,072,312,624,283,802,
442,136,639,708,640,691,800,443,672,611,607,470,188,137,049,511,800,628,033,
310,709,845,495,796,516,793,732,724,073,971,106,397,637,363,954,752,652,926,
594,527,020,359,408,746,476,769,589,185,374,958,186,809,961,297,648,852,224,
550,221,548,780,568,142,521,484,907,870,436,902,409,236,756,336,454,164,165,
081,098,079,007,715,799,733,400,950,392,850,537,951,274,708,313,491,252,182,
400,147,204,608,798,973,917,350,095,811,395,779,430,395,566,891,853,142,230,
308,104,274,992,612,863,394,698,903,857,030,698,304,899,797,752,747,500,117,
645,051,110,395,655,705,783,122,854,850,731,896,911,746,103,159,885,586,301,
787,492,519,294,087,627,845,337,303,116,869,880,244,577,454,824,535,377,309,
982,143,838,531,844,022,781,285,286,086,214,198,398,848,056,841,583,661,170,
197,181,068,463,114,071,862,295,957,314,880,665,128,169,932,365,126,023,561,
007,542,918,437,689,911,810,147,924,211,268,302,526,642,567,767,721,708,198,
866,684,093,881,743,836,119,038,785,152,562,357,270,930,982,610,742,487,555,
379,043,683,697,658,593,667,480,180,422,259,735,754,461,412,874,698,502,883,
109,749,006,112,508,093,792,715,292,249,225,607,276,569,927,966,597,830,174,
380,292,640,956,772,861,065,285,012,806,080,684,863,866,494,321,544,677,476,
295,360,702,255,257,646,495,669,673,576,852,467,062,480,530,653,100,761,795,
957,970,571,471,582,232,224,513,307,742,444,886,939,729,807,888,649,498,064,
165,309,296,253,705,803,825,458,378,165,668,209,645,206,251,231,305,713,322,
312,197,221,343,952,273,251,961,370,131,746,743,303,226,353,924,779,844,308,
628,688,113,772,253,291,925,861,785,117,664,775,208,513,622,531,146,278,028,
691,987,108,360,804,646,926,991,965,137,483,889,634,379,316,306,424,798,926,
671,721,656,737,066,574,392,930,954,635,745,535,172,224,212,559,529,573,475,
367,019,947,265,107,458,644,946,011,047,894,397,152,073,410,249,836,492,469,
148,646,318,704,647,117,235,689,304,491,044,579,258,559,309,287,125,547,636,
519,706,913,141,938,787,927,374,052,506,394,025,702,357,090,682,233,113,811,
595,386,405,308,864,838,447,644,207,559,114,925,351,811,108,741,593,317,887,
021,825,737,364,829,289,867,413,006,322,824,623,906,607,688,395,905,400,631,
880,140,583,721,958,575,840,453,017,036,690,989,225,731,180,235,652,371,776,
234,531,723,563,918,983,542,197,328,314,262,996,822,925,551,144,927,918,822,
932,111,922,301,026,030,785,021,279,997,766,377,990,705,108,795,090,964,470,
037,478,586,506,378,705,539,086,998,350,096,180,000,460,226,956,211,502,216,
755,116,512,314,215,867,531,277,822,069,128,106,141,891,340,011,412,872,183,
687,406,380,939,717,807,688,886,625,362,053,371,525,608,598,460,048,781,620,
814,590,620,776,782,204,459,036,171,812,907,505,895,383,632,777,312,791,489,
152,138,096,566,725,018,751,108,394,219,536,879,321,033,428,564,432,799,177,
904,449,586,725,755,491,259,562,569,595,983,762,800,848,235,957,010,357,947,
666,960,175,480,801,530,547,990,502,556,461,876,803,883,647,931,016,189,723,
882,737,917,600,869,183,557,437,757,287,141,936,629,359,354,001,828,950,709,
540,942,991,499,426,578,100,257,668,766,398,006,345,532,716,914,312,979,873,
496,949,979,025,172,707,207,572,819,457,083,636,845,398,447,156,475,362,991,
480,764,452,058,306,072,142,843,067,978,937,584,882,781,904,387,879,334,033,
952,935,978,817,789,189,074,451,935,178,245,215,851,800,906,156,216,693,987,
546,880,560,715,458,782,546,003,741,760,408,356,552,269,264,121,306,371,727,
918,598,740,243,497,789,622,714,250,275,104,773,452,846,011,561,755,776,388,
017,508,533,184,686,412,396,458,678,519,348,783,013,737,216,240,800,168,420,
385,074,000,139,803,802,641,650,196,872,832,780,718,120,093,293,739,172,945,
883,005,444,106,036,346,569,261,450,870,481,384,767,595,893,902,378,199,131,
117,655,339,053,758,673,819,208,315,113,176,928,834,121,267,897,837,589,455,
430,257,611,280,729,582,379,250,349,428,129,427,137,883,874,694,783,910,122,
166,345,141,394,316,500,063,477,272,177,910,103,187,090,743,558,283,848,977,
263,957,776,400,173,418,129,363,623,893,518,445,859,742,050,793,474,057,051,
032,541,903,270,191,961,172,968,011,386,324,734,183,129,420,312,620,923,633,
933,488,799,084,429,109,249,857,042,226,656,811,247,423,510,059,165,670,307,
679,843,155,287,405,559,132,663,655,708,514,262,914,608,903,864,411,281,840,
517,474,056,026,044,767,119,783,185,340,300,933,550,961,157,254,932,304,723,
740,698,057,689,201,377,365,137,702,839,114,039,597,611,000,388,924,304,550,
168,471,861,412,038,269,967,335,904,290,406,794,162,211,634,345,364,178,174,
100,091,302,275,353,748,199,484,519,219,446,310,538,183,040,679,991,325,240,
584,621,106,216,071,582,659,600,689,206,821,956,277,328,455,779,543,406,217,
845,805,329,621,451,150,534,925,168,326,086,978,552,840,295,480,342,712,099,
988,092,865,673,280,180,969,595,313,683,539,672,716,389,115,906,743,280,413,
371,155,103,834,499,439,185,683,904,406,583,780,729,618,717,342,215,924,395,
349,483,499,201,201,183,225,785,150,964,053,493,023,014,033,242,465,187,589,
746,424,380,171,167,245,592,302,276,254,312,781,727,286,823,238,800,821,392,
308,827,797,626,327,532,815,310,224,229,762,138,291,706,136,914,387,795,244,
901,560,879,629,333,831,388,228,834,271,951,243,016,323,476,968,951,408,260,
221,339,493,652,147,708,158,429,847,635,056,716,956,956,542,908,239,370,698,
345,455,106,731,467,582,779,643,133,988,847,916,921,758,725,963,287,750,530,
260,219,496,516,516,001,471,349,684,121,963,703,650,624,149,142,958,816,218,
911,507,316,053,538,057,081,190,008,140,364,153,160,402,376,665,360,551,425,
822,158,377,803,129,602,409,984,484,526,052,181,963,616,065,743,330,078,863,
488,339,762,346,451,972,296,979,794,750,252,184,121,046,365,730,859,965,609,
470,265,887,184,978,859,028,890,044,596,799,178,922,905,752,663,698,965,336,
671,341,282,369,895,847,382,821,385,105,401,141,057,516,781,219,668,422,275,
393,017,374,267,179,058,357,908,968,256,213,323,995,825,724,123,861,525,362,
322,465,587,557,930,681,871,636,744,126,490,780,762,116,260,350,294,666,020,
299,619,414,651,018,615,275,543,909,663,948,159,394,000,381,652,010,834,521,
325,518,167,110,524,441,086,478,037,813,324,738,368,033,106,095,617,401,952,
979,235,084,607,366,331,529,020,584,298,034,424,592,514,219,046,933,883,505,
474,514,517,460,982,310,596,503,544,010,997,607,040,070,962,971,870,319,166,
033,478,015,863,016,505,027,656,242,253,230,976,864,794,187,506,553,808,852,
128,137,829,408,956,606,920,268,429,075,731,127,635,452,474,887,124,774,525,
572,079,353,161,802,879,397,555,041,373,499,702,709,550,610,670,703,715,648,
266,605,381,486,335,134,743,245,893,850,173,921,829,476,564,124,867,324,775,
584,584,601,514,647,626,356,537,936,161,996,934,599,833,499,102,652,052,835,
168,231,101,341,070,494,648,503,149,367,477,426,449,757,637,865,887,580,510,
849,065,292,078,285,875,839,620,043,218,894,379,777,685,370,896,340,503,617,
549,969,914,576,643,516,152,949,766,914,822,372,813,311,412,265,763,947,884,
408,833,466,594,248,342,973,716,647,800,195,994,415,250,639,655,213,808,233,
507,680,840,760,547,705,101,061,495,882,800,573,580,724,347,925,823,498,795,
181,953,708,371,700,207,338,177,965,673,025,277,339,791,316,063,908,601,942,
954,012,896,798,334,250,821,868,277,739,220,758,761,969,524,509,041,332,936,
161,642,603,507,343,152,703,804,794,603,764,849,074,749,638,576,023,337,520,
245,095,578,626,654,815,318,939,860,409,933,317,480,038,855,555,147,828,406,
102,411,194,003,071,907,137,018,905,936,487,299,541,390,014,773,983,414,756,
395,430,264,799,138,244,726,530,059,129,160,924,429,461,717,947,496,988,921,
727,224,340,718,966,697,764,995,794,949,162,847,597,055,662,151,930,093,731,
815,448,250,025,240,632,232,957,863,259,088,532,937,809,715,260,034,772,318,
329,106,825,199,337,027,614,703,269,976,211,627,426,732,900,879,989,886,277,
161,624,252,921,992,623,053,959,259,411,296,225,765,992,620,553,647,939,956,
429,244,969,722,014,000,998,624,460,349,305,904,929,485,120,897,538,714,243,
504,349,930,416,847,480,088,762,564,955,098,864,336,919,980,018,960,089,370,
996,990,554,222,017,281,798,709,339,718,963,886,704,533,290,402,241,942,393,
373,335,691,181,551,794,748,870,938,744,461,128,371,890,319,956,425,027,104,
520,075,816,439,583,483,768,144,598,174,654,019,959,211,275,299,703,908,442,
302,401,793,650,855,924,592,075,221,527,608,799,645,422,982,020,512,882,874,
440,027,315,585,568,233,688,042,361,994,602,529,870,764,467,374,502,996,960,
488,233,096,200,197,230,153,670,432,105,211,695,194,463,419,963,112,774,285,
855,332,007,312,486,683,681,287,999,548,215,117,704,747,787,589,171,779,377,
508,338,741,357,369,213,826,779,784,257,134,509,589,576,971,731,951,072,752,
248,478,372,291,653,708,407,734,331,477,240,844,844,212,882,903,045,634,329,
805,240,628,464,042,513,133,613,332,788,066,439,407,222,273,673,717,791,617,
943,896,244,072,392,614,629,470,921,793,364,927,629,897,212,508,423,312,415,
851,333,394,703,592,910,481,251,515,091,923,165,583,014,624,617,069,443,218,
005,475,011,782,338,538,411,993,631,253,854,290,451,138,436,847,804,642,391,
891,160,872,369,575,282,873,416,384,579,477,382,191,315,535,729,810,675,730,
162,718,660,252,251,474,011,821,627,367,979,862,470,472,285,663,467,269,062,
055,246,772,600,863,198,080,175,914,480,210,812,498,737,124,564,953,087,391,
254,186,929,988,754,192,963,641,530,433,707,904,583,750,198,652,389,455,545,
332,186,498,522,853,124,744,050,171,045,892,571,865,152,213,732,705,125,741,
553,618,995,943,946,920,196,160,601,525,392,435,665,755,367,143,011,017,189,
667,404,074,236,969,701,572,385,034,452,797,290,835,529,016,566,644,770,874,
576,751,916,785,895,914,058,149,044,209,256,458,487,754,769,818,647,851,709,
375,714,009,514,659,213,719,644,054,690,310,450,168,660,151,705,611,465,356,
878,322,149,559,663,740,310,436,952,603,823,761,856,268,544,858,719,899,241,
044,913,010,550,311,388,022,106,905,801,600,276,097,589,681,872,804,929,361,
035,813,874,008,606,994,989,201,411,285,283,508,722,081,432,849,680,985,092,
392,810,921,133,380,631,521,664,947,822,096,983,227,522,603,805,977,679,759,
611,854,835,841,593,352,877,319,807,236,435,207,808,598,536,091,056,216,144,
451,456,999,781,786,808,762,202,419,141,757,655,034,322,576,318,468,120,138,
729,082,282,510,948,625,411,363,789,069,430,300,054,625,201,615,419,461,479,
537,634,835,442,291,501,440,046,194,845,156,212,185,620,292,222,618,610,051,
708,942,907,877,838,891,695,466,240,395,039,813,097,127,664,033,397,194,137,
025,323,071,722,681,619,800,604,845,100,416,452,737,980,915,417,957,443,321,
003,837,632,614,891,145,482,409,719,915,985,000,608,976,927,148,415,429,086,
636,897,842,879,558,939,985,650,921,567,430,345,461,754,590,774,783,841,256,
159,888,614,550,080,585,052,677,419,652,237,705,968,730,837,679,778,785,674,
620,499,417,475,870,843,840,096,588,551,229,409,101,633,294,962,837,114,954,
787,181,658,601,602,733,953,989,912,568,901,006,044,730,741,980,156,745,173,
891,628,073,175,705,935,982,834,874,465,148,883,500,060,245,810,236,522,594,
469,823,134,043,214,144,706,770,156,909,660,262,915,993,289,350,276,554,050,
680,276,374,326,421,923,248,456,329,833,646,821,522,837,817,688,224,342,031,
187,043,395,232,043,451,387,774,167,418,476,220,703,430,798,659,300,560,903,
869,920,182,833,645,549,361,703,266,538,189,997,683,215,578,729,414,481,749,
001,020,932,177,241,619,704,259,843,793,253,319,071,832,547,641,170,484,199,
103,146,070,909,140,964,386,744,584,328,493,527,516,136,388,261,545,338,405,
434,702,687,995,888,000,234,488,905,498,904,300,661,567,239,677,309,455,305,
584,211,012,593,029,266,907,157,054,453,025,883,959,131,318,072,555,818,327,
950,804,215,520,167,831,542,456,378,437,144,951,727,969,328,717,278,018,958,
172,601,298,217,043,844,853,186,194,488,463,548,661,033,233,006,326,212,740,
703,192,821,152,406,074,520,347,144,957,901,757,353,396,398,406,358,593,007,
426,615,509,085,639,158,385,330,686,578,747,039,441,256,565,296,915,684,449,
667,675,447,358,191,465,899,504,522,114,606,230,773,777,276,372,782,666,266,
900,468,718,881,832,887,156,163,325,975,079,216,353,472,491,158,076,495,224,
323,030,757,963,162,365,404,234,879,631,716,574,951,052,556,768,269,411,445,
168,025,540,399,034,717,961,666,016,508,042,112,937,371,553,285,497,862,833,
421,796,572,280,835,432,510,170,404,965,918,137,809,750,450,468,805,138,911,
262,994,583,379,914,411,185,221,607,681,850,543,797,176,276,283,091,931,687,
740,130,742,278,407,381,117,876,372,542,363,727,399,664,963,323,922,229,416,
599,670,028,903,749,925,534,680,734,659,011,731,325,173,921,933,317,146,020,
551,263,283,106,448,469,998,516,538,724,223,636,838,169,196,463,456,845,849,
199,651,880,256,834,391,677,187,947,176,015,414,642,972,498,178,478,262,214,
982,673,426,085,108,286,624,181,660,445,399,516,734,299,860,774,051,949,604,
474,783,405,756,128,945,179,342,165,882,181,516,291,925,131,105,596,746,114,
621,018,428,301,241,736,229,005,318,783,728,844,401,779,744,181,578,332,809,
554,482,930,204,004,938,816,372,423,126,807,541,807,395,849,136,262,945,729,
319,734,092,273,228,730,367,548,065,607,927,457,634,607,537,720,078,724,182,
572,052,523,482,502,998,223,527,736,566,742,956,093,186,808,181,983,355,670,
353,427,018,503,532,216,939,684,359,535,141,445,816,802,142,570,420,347,874,
263,682,028,115,815,437,969,084,014,410,876,190,947,864,724,038,665,202,698,
212,924,275,229,291,391,396,652,194,579,249,142,021,219,540,062,675,086,726,
262,123,847,620,227,332,656,741,924,994,213,141,188,654,067,748,899,564,927,
209,134,163,302,148,008,248,673,348,203,001,033,745,838,539,837,223,968,780,
612,827,656,756,937,575,335,158,192,728,590,092,859,477,201,923,311,307,768,
925,604,112,827,876,746,801,252,931,456,607,476,443,974,197,586,520,877,091,
944,399,425,372,909,713,574,303,201,647,952,287,307,359,072,522,407,738,074,
666,317,882,193,269,946,327,928,179,449,068,587,195,817,975,232,253,691,874,
710,234,347,666,134,824,266,097,449,801,280,588,674,271,028,613,310,180,729,
545,151,866,865,234,467,622,379,789,632,565,384,912,222,730,384,215,567,659,
156,260,708,605,820,867,251,208,754,710,860,124,367,634,361,825,171,717,879,
964,882,347,264,478,655,804,617,036,763,868,204,434,495,797,378,646,409,274,
587,415,355,564,461,173,076,151,809,241,709,024,295,861,123,345,980,796,362,
011,471,822,404,659,617,018,842,014,602,938,271,335,774,578,678,582,238,664,
221,194,606,830,027,035,535,553,870,450,376,351,180,022,976,314,611,691,663,
172,721,104,279,298,871,441,445,966,185,391,353,093,923,378,962,789,707,814,
241,148,827,626,615,888,161,687,269,555,107,415,993,164,738,659,376,758,692,
163,108,130,001,094,214,978,676,019,614,343,259,074,600,684,691,143,701,504,
882,587,742,024,116,407,842,261,813,844,510,273,261,555,461,067,010,299,793,
480,904,815,233,788,067,127,791,257,976,528,188,722,069,146,569,007,078,398,
638,961,716,835,279,230,678,353,759,874,473,446,306,509,116,603,704,071,077,
783,451,681,284,029,916,550,000,402,609,500,840,505,876,317,069,430,585,686,
852,444,408,889,645,400,372,247,579,642,237,640,423,815,879,397,221,851,103,
151,632,623,703,466,006,397,329,755,167,415,412,172,416,964,605,481,278,197,
722,263,415,232,479,288,598,543,730,015,986,725,069,009,157,858,843,043,650,
401,496,761,102,523,473,325,034,259,319,622,007,116,137,749,837,168,474,094,
243,535,160,418,610,240,359,693,605,053,950,662,686,809,436,204,163,077,185,
732,982,327,699,495,701,815,128,081,451,649,720,082,289,512,687,355,106,227,
932,827,121,946,664,569,116,648,398,580,699,521,542,275,325,207,562,419,287,
333,694,599,303,497,654,149,812,834,819,130,965,584,478,848,723,123,913,096,
080,806,445,959,945,170,782,776,489,703,059,559,286,177,624,451,681,716,005,
812,907,945,450,030,272,500,781,987,993,837,734,692,005,783,155,735,065,738,
943,297,145,182,801,233,056,168,191,652,031,592,887,838,301,457,709,812,792,
172,173,170,939,670,459,488,375,118,341,950,215,333,584,049,568,885,619,936,
794,867,926,929,882,278,043,928,338,449,202,851,231,645,041,566,782,658,855,
730,560,439,546,384,344,588,060,320,863,640,794,085,451,395,652,914,664,040,
382,577,552,835,978,208,770,113,585,190,777,032,057,851,349,203,828,702,280,
370,357,572,184,265,661,394,579,618,187,241,406,021,738,656,535,714,391,661,
214,876,534,389,304,207,955,816,124,321,614,187,264,576,471,186,701,929,422,
624,986,984,692,076,150,927,260,699,568,656,625,986,710,968,580,832,204,620,
275,808,102,046,061,914,407,935,681,373,012,979,351,278,590,607,947,512,100,
648,536,949,158,058,034,990,964,337,345,389,780,534,231,851,124,891,714,221,
453,889,378,301,226,026,658,359,224,272,983,454,309,789,569,326,123,401,924,
749,648,222,096,570,058,300,278,095,441,774,820,453,576,429,448,143,301,111,
070,900,092,858,811,845,272,725,776,817,261,160,266,508,976,373,068,561,403,
068,158,447,023,529,317,245,596,376,668,114,438,668,725,237,624,551,265,976,
642,164,466,600,805,764,113,794,092,634,288,156,125,844,368,294,284,183,849,
235,464,160,585,427,009,073,131,674,172,463,096,441,741,888,355,520,525,766,
390,206,790,996,769,341,316,121,108,419,998,207,970,969,643,474,472,695,276,
500,621,901,952,468,006,572,262,548,697,526,695,577,204,763,197,501,908,213,
181,191,651,279,482,260,861,028,354,823,087,604,443,942,157,464,416,912,105,
331,135,514,329,057,853,406,534,504,136,124,058,067,323,895,437,473,023,164,
601,901,735,132,861,363,724,839,900,033,971,039,464,773,357,713,470,834,489,
929,050,515,117,369,595,548,982,793,273,144,754,469,429,421,354,476,221,743,
171,784,571,447,380,392,016,212,837,220,744,242,123,796,945,239,008,910,044,
689,219,082,909,141,612,150,509,244,022,609,593,428,407,257,362,421,965,690,
808,318,057,820,127,765,590,357,952,564,893,762,545,066,804,795,796,558,067,
437,679,765,908,186,629,091,848,455,782,889,449,987,052,120,015,949,845,741,
040,270,655,363,815,609,242,214,112,265,465,348,880,159,698,946,659,574,615,
001,907,904,116,859,237,384,299,042,570,478,678,830,029,226,195,772,428,643,
344,990,530,619,393,111,304,740,747,372,044,549,483,173,235,177,858,500,107,
769,900,319,505,513,099,354,957,205,194,606,389,226,163,933,335,290,236,861,
966,193,258,521,189,205,180,079,708,417,670,826,892,556,467,242,914,005,983,
416,819,537,624,385,410,469,061,832,203,088,518,212,406,095,525,296,183,294,
843,289,754,308,566,113,396,030,261,439,099,329,225,394,271,352,222,377,450,
418,695,921,231,470,087,501,746,614,981,286,526,608,361,365,196,686,723,166,
209,342,242,497,508,834,571,329,150,371,555,313,428,997,068,746,035,065,898,
244,689,364,485,014,289,311,066,848,227,685,546,156,116,730,297,092,353,702,
504,395,691,368,354,897,253,552,715,491,195,861,906,410,978,715,100,991,425,
688,143,759,631,021,897,176,826,023,880,203,193,853,693,026,457,268,285,049,
708,297,913,512,434,132,978,511,753,248,769,549,590,810,827,961,384,691,570,
504,597,595,394,433,005,854,824,419,442,626,923,561,189,566,413,583,525,210,
483,742,666,875,431,313,459,643,938,520,532,535,844,756,476,111,392,941,989,
392,868,468,412,923,310,650,846,943,223,811,356,129,442,906,435,864,656,366,
457,360,425,943,914,230,162,554,266,534,673,670,057,737,658,715,252,288,405,
967,372,798,770,223,830,186,693,112,854,197,977,481,776,868,914,062,537,264,
919,177,168,298,944,449,894,226,652,788,641,590,871,501,075,107,082,153,113,
516,129,097,444,605,720,112,601,020,149,188,439,464,628,956,183,184,530,968,
114,223,636,310,787,849,233,350,076,532,929,664,938,012,297,157,995,476,519,
925,050,591,795,084,426,604,165,493,785,445,134,375,640,467,318,902,414,029,
330,793,406,334,439,108,126,409,050,906,002,773,226,011,037,126,665,117,296,
176,528,732,644,351,102,198,776,134,757,707,912,228,154,400,785,382,881,491,
500,316,440,820,398,732,024,272,745,167,823,173,970,364,939,107,932,652,152,
431,673,498,951,164,783,694,868,614,674,926,365,726,046,068,880,700,618,326,
383,289,231,197,411,382,123,175,338,105,051,170,679,972,168,643,125,876,916,
333,141,377,504,983,264,031,402,295,424,670,282,549,862,663,409,004,635,375,
206,640,139,204,764,149,474,514,665,644,330,456,794,924,999,040,849,390,030,
887,606,419,974,635,723,921,402,806,692,492,245,268,433,077,636,114,282,208,
697,785,086,455,921,832,322,300,078,322,782,938,880,953,883,431,232,710,368,
951,719,233,580,183,397,877,079,146,287,516,620,549,184,765,383,081,795,380,
542,510,648,925,114,377,057,357,905,137,529,196,433,561,460,647,647,523,975,
307,491,898,108,516,693,862,507,477,191,616,047,862,957,050,180,680,263,573,
198,864,681,902,478,922,895,705,232,499,070,977,688,544,443,181,128,558,987,
424,333,925,261,212,093,960,188,716,687,810,126,458,851,708,139,537,222,939,
637,138,594,256,895,506,848,352,250,032,963,622,621,005,796,898,897,760,673,
595,239,019,650,018,344,361,901,618,080,988,836,738,688,563,230,660,145,974,
445,785,444,270,049,320,138,711,140,693,237,758,589,200,420,139,226,358,712,
579,377,018,147,577,137,277,038,926,812,286,621,692,579,131,154,268,646,377,
785,391,903,794,486,466,360,596,800,733,721,373,561,132,008,468,128,986,114,
376,055,161,891,981,113,024,176,805,692,608,409,457,450,415,074,609,766,543,
117,839,213,716,345,100,213,369,236,447,929,905,987,580,083,325,965,939,642,
318,100,658,569,546,053,438,959,705,202,091,835,150,821,259,698,024,220,373,
386,975,226,734,668,007,119,873,064,072,383,470,977,696,198,989,008,744,893,
486,311,344,237,917,525,096,625,060,763,453,878,112,625,223,784,383,445,188,
439,281,258,490,737,425,924,801,335,884,253,390,981,965,667,926,191,053,748,
261,859,518,145,827,791,780,095,255,547,051,325,769,083,252,465,394,189,185,
439,278,266,533,532,113,073,564,970,654,160,020,824,273,771,885,106,911,439,
382,250,613,861,982,789,115,020,925,809,462,350,226,339,638,741,682,676,132,
758,604,374,609,701,230,934,025,334,234,406,947,467,895,853,647,076,540,129,
929,304,302,672,693,743,810,820,672,990,718,752,318,404,741,691,662,968,944,
339,305,894,715,347,386,382,966,478,340,300,709,357,632,047,083,183,568,944,
232,100,185,011,602,092,896,816,504,566,495,457,822,546,102,996,154,267,346,
663,701,212,916,497,709,540,509,394,717,066,427,487,268,015,636,518,167,618,
275,010,834,723,852,978,206,310,737,608,282,155,214,189,293,345,868,170,458,
430,784,686,981,227,008,922,249,697,733,764,948,352,875,295,782,885,636,448,
007,573,471,821,394,954,157,983,703,435,047,298,114,995,039,206,808,284,652,
353,398,396,316,725,418,649,291,091,833,488,207,233,004,211,223,969,245,661,
734,682,300,086,297,350,008,247,118,876,784,132,859,077,753,732,489,266,611,
743,615,113,284,210,081,676,848,507,418,487,727,989,835,326,178,281,765,491,
182,372,091,523,767,384,258,505,869,372,196,649,751,457,870,885,106,636,189,
988,186,359,799,427,829,799,695,282,038,795,572,397,401,190,630,014,739,927,
224,853,779,976,477,249,852,799,902,724,161,230,405,819,522,835,230,559,392,
218,270,087,280,581,786,714,922,078,203,821,703,567,268,694,722,854,855,728,
270,740,064,881,942,085,955,545,274,676,819,081,958,172,438,489,887,026,823,
640,528,048,362,544,803,135,645,873,927,068,570,459,956,042,164,806,626,653,
964,641,518,633,820,028,999,244,928,244,345,963,617,572,660,459,899,420,393,
824,347,704,900,895,012,995,868,256,546,598,645,304,433,295,263,215,680,021,
555,851,028,029,907,033,737,945,271,548,745,887,775,739,422,895,891,882,674,
874,512,386,897,628,776,258,138,566,063,486,601,088,794,884,909,510,644,901,
107,556,763,358,919,942,443,125,203,155,407,092,353,130,948,773,715,579,145,
746,650,722,709,059,563,256,489,267,003,521,896,342,817,993,342,718,246,166,
761,487,533,703,668,462,776,028,564,522,910,577,604,886,617,660,210,230,831,
264,895,795,381,153,486,125,529,495,067,498,773,433,923,386,651,493,375,612,
026,836,079,337,003,082,773,059,287,849,369,581,740,191,837,714,265,150,885,
250,780,633,214,850,156,437,249,461,330,056,478,895,437,421,904,630,876,684,
976,685,468,194,821,414,031,683,541,166,421,251,289,988,089,321,162,095,248,
128,789,033,282,981,002,319,456,682,946,266,528,460,912,971,919,438,952,035,
426,532,671,548,643,414,363,219,677,070,641,945,399,920,828,404,505,159,255,
206,690,124,233,237,991,753,856,215,216,815,276,845,451,957,154,529,329,676,
731,420,602,635,830,118,005,901,649,716,386,217,234,587,465,425,805,514,101,
795,491,683,425,366,860,494,149,766,214,111,180,904,897,997,862,503,721,668,
772,959,066,823,596,726,886,939,473,321,224,528,601,584,184,045,210,733,823,
351,381,285,761,156,839,094,849,252,597,697,073,890,284,733,869,359,817,263,
921,242,616,598,036,904,064,213,784,163,518,660,847,654,441,555,757,405,264,
314,465,389,575,744,476,357,826,797,842,392,048,232,847,167,876,333,281,337,
534,820,993,935,422,685,262,772,028,633,705,155,158,551,792,729,185,017,190,
834,260,197,208,677,111,889,876,355,886,303,092,385,037,302,895,926,660,026,
111,372,425,766,447,906,569,741,055,397,974,347,417,920,266,273,405,054,567,
788,112,140,931,626,258,842,278,771,387,238,088,866,148,532,739,378,110,863,
857,340,983,959,944,219,962,118,513,572,968,580,038,366,228,132,063,640,026,
141,616,345,938,642,036,975,643,153,965,478,494,449,419,242,007,204,958,744,
297,701,394,736,705,031,720,528,973,650,429,909,647,264,045,294,401,371,209,
573,875,913,338,169,392,187,237,627,909,647,716,224,527,003,317,992,185,940,
050,917,042,054,983,280,368,296,704,931,971,088,964,631,720,329,472,824,378,
916,131,956,240,836,206,223,244,607,059,753,352,831,299,327,808,253,776,140,
084,462,109,987,477,590,187,182,496,833,913,169,726,252,118,188,853,869,022,
216,401,681,012,529,753,101,082,057,910,884,405,455,037,572,897,094,809,809,
736,357,468,947,678,524,086,104,961,986,919,108,536,882,716,683,466,213,281,
082,988,782,666,695,445,266,401,943,773,954,205,920,362,239,584,385,833,466,
316,205,268,298,624,709,899,713,643,844,092,995,416,131,850,684,507,597,368,
974,622,661,467,952,499,920,438,834,676,432,582,802,314,554,210,695,587,484,
667,104,365,322,313,044,389,976,128,171,722,297,470,221,365,880,542,080,007,
156,619,604,420,077,318,275,190,322,387,329,240,777,940,285,010,449,457,786,
464,453,993,832,866,583,706,510,081,554,940,049,715,659,715,977,707,700,004,
517,757,518,595,516,836,789,726,385,785,932,742,162,486,787,767,265,638,807,
839,105,351,066,113,229,717,415,941,095,189,585,116,202,363,560,898,902,072,
196,082,543,271,951,929,877,123,742,523,112,221,181,469,958,210,179,419,590,
006,879,146,467,713,379,473,734,647,218,677,776,884,514,772,655,142,200,720,
519,993,556,068,101,761,829,872,342,383,328,362,736,603,519,748,332,109,984,
952,845,950,853,299,135,844,413,272,757,918,763,217,982,821,934,494,425,345,
194,896,385,460,337,055,612,715,863,436,906,895,503,237,539,026,758,494,937,
394,039,087,807,368,717,163,653,405,742,518,812,809,241,232,099,712,589,637,
729,729,180,780,426,174,760,578,861,520,949,764,216,352,223,912,116,209,540,
660,411,855,357,667,129,985,063,947,789,464,995,000,740,775,027,422,363,226,
087,253,911,631,996,360,086,699,485,269,449,889,576,720,059,186,788,968,143,
319,572,758,911,437,484,836,259,727,226,001,576,593,217,620,584,144,318,674,
875,308,102,298,475,456,551,034,154,696,067,438,420,810,692,851,373,553,924,
138,550,610,675,557,654,536,417,078,886,016,058,701,952,907,848,375,087,925,
567,183,186,153,877,939,650,178,113,521,847,071,472,301,227,933,594,919,273,
516,600,571,518,306,487,008,114,140,422,066,050,288,015,063,001,729,389,996,
572,375,992,886,324,026,876,141,815,792,231,774,780,250,554,423,383,789,658,
527,804,079,766,577,518,534,466,007,172,615,404,435,752,530,493,040,669,557,
633,187,916,517,380,918,611,098,437,177,194,800,375,647,848,121,271,929,831,
960,336,550,909,571,177,424,092,918,642,775,427,876,127,888,905,426,215,655,
221,414,168,718,692,663,364,095,531,843,560,621,204,378,546,048,154,032,380,
147,578,860,528,048,092,160,611,544,498,754,957,130,596,420,524,739,475,704,
218,634,735,335,276,627,569,504,462,854,671,060,198,108,802,477,535,278,438,
657,207,233,670,677,230,483,844,917,943,606,529,205,765,060,584,845,346,514,
354,099,467,160,192,588,914,569,495,289,806,481,765,850,668,687,468,145,141,
498,038,206,850,472,734,224,211,034,806,522,209,957,210,305,143,733,795,978,
005,881,171,436,048,164,772,127,538,975,006,715,469,911,377,220,611,635,252,
017,925,018,778,664,415,810,345,988,651,287,566,502,138,812,393,014,970,758,
995,633,003,136,136,951,058,189,140,210,701,447,823,565,699,154,179,681,032,
825,698,385,251,537,311,766,994,852,862,189,347,077,987,256,830,111,260,937,
982,958,579,805,306,166,910,309,046,942,935,689,675,244,491,140,375,328,297,
889,199,253,233,995,523,838,090,770,085,502,120,076,388,636,775,813,014,188,
898,668,804,644,232,676,690,314,934,553,444,590,365,528,534,128,659,427,487,
895,495,086,181,148,379,332,075,626,903,461,064,322,533,339,592,038,861,426,
330,394,070,004,349,094,705,416,471,717,650,893,973,103,837,183,077,691,948,
644,256,844,775,500,252,231,348,863,988,867,054,429,506,157,318,590,145,965,
357,913,097,966,801,430,345,774,104,222,062,080,712,559,042,958,114,831,871,
565,707,328,455,544,098,047,456,700,052,006,704,186,416,096,210,203,507,473,
571,807,100,633,581,503,914,548,903,786,827,463,652,710,203,936,871,987,954,
840,801,132,739,642,841,320,043,501,749,275,315,551,289,227,712,658,058,931,
336,245,115,445,292,818,717,804,587,115,298,533,959,931,435,950,730,052,534,
795,510,827,771,863,805,324,953,550,031,146,248,412,019,265,251,904,809,248,
870,936,177,136,959,142,373,046,181,623,732,430,812,161,541,577,310,098,071,
655,017,619,733,192,438,163,819,991,385,276,424,065,770,441,322,855,800,259,
334,696,580,274,832,422,430,311,468,244,857,369,967,810,363,189,098,809,510,
558,505,333,816,794,054,146,319,863,474,116,132,933,072,131,154,453,707,126,
572,006,554,152,891,922,282,304,795,863,170,222,745,930,949,642,224,430,982,
739,996,235,805,409,637,537,952,165,173,503,469,807,794,112,875,787,693,935,
976,629,382,573,102,391,195,501,113,810,736,670,010,740,669,708,197,564,196,
757,417,188,570,975,047,513,624,670,628,755,836,722,032,172,083,206,679,097,
537,546,902,276,308,032,409,704,251,223,310,399,125,349,785,488,500,960,097,
854,133,644,094,173,660,556,158,152,056,493,022,300,912,408,237,542,240,714,
492,668,136,971,713,477,413,727,863,907,499,032,008,093,775,482,775,815,815,
990,808,751,225,069,062,066,933,112,408,092,862,853,190,795,402,160,395,623,
245,296,657,127,163,722,485,228,212,899,119,341,968,228,646,361,529,084,881,
582,328,298,350,378,176,167,225,767,184,571,994,091,604,994,370,930,930,644,
356,433,173,168,387,089,811,929,036,387,647,863,188,013,781,435,326,775,821,
794,641,915,770,094,859,143,493,266,022,408,873,327,485,701,936,647,251,864,
855,096,191,129,108,885,583,979,072,755,007,393,198,692,140,590,366,884,904,
154,217,838,655,043,981,266,360,134,699,496,459,989,301,507,474,456,756,150,
754,119,745,968,871,773,078,379,236,909,960,718,834,312,160,914,459,845,925,
500,506,697,055,127,695,868,300,947,920,068,136,809,279,519,799,846,245,901,
670,025,320,610,458,629,402,092,657,346,594,559,739,496,407,507,450,943,396,
136,986,497,930,078,940,324,575,793,926,345,902,646,018,974,953,026,396,825,
041,741,227,575,847,120,977,793,688,222,962,557,204,469,835,559,134,299,914,
643,935,424,978,636,904,249,517,246,186,998,745,778,975,550,339,469,658,124,
815,119,864,914,009,618,954,174,720,478,245,192,387,114,182,145,522,670,610,
091,158,285,827,424,011,423,834,354,438,006,215,146,567,308,836,341,497,456,
760,845,452,777,881,379,456,099,361,048,716,410,247,999,004,087,898,695,114,
710,191,672,970,002,761,319,280,986,019,550,959,899,158,175,860,146,422,424,
136,740,352,282,996,299,479,693,540,911,753,257,533,009,230,443,056,247,535,
843,541,894,405,778,669,353,583,437,741,271,822,676,256,760,243,535,614,431,
472,624,890,990,454,843,129,203,051,508,159,323,194,146,707,037,753,425,351,
785,499,911,023,997,479,603,772,569,017,853,699,452,674,401,473,125,378,519,
052,288,176,538,609,340,230,085,106,756,076,759,128,932,697,684,433,341,041,
980,300,323,806,111,106,803,800,027,563,933,326,539,082,226,837,765,489,181,
231,704,306,433,823,675,258,678,283,070,990,560,996,866,695,698,654,892,661,
443,240,816,282,457,844,129,941,237,719,275,130,278,696,329,897,401,791,652,
404,583,563,858,647,401,513,337,767,345,896,246,953,673,869,725,372,682,984,
813,195,620,278,744,181,873,735,601,453,833,053,221,169,770,734,549,925,517,
056,655,644,289,708,324,705,581,705,028,099,397,674,792,157,120,210,632,370,
215,081,388,032,083,085,267,492,661,548,760,750,194,535,128,160,975,853,507,
629,664,664,367,677,563,863,737,006,428,088,268,592,356,951,021,358,081,611,
490,477,627,885,980,165,321,078,411,301,020,125,083,321,280,553,459,086,376,
357,534,590,395,215,235,409,996,099,224,346,783,368,518,909,578,386,096,331,
941,348,284,311,381,741,992,409,348,147,544,584,629,607,946,789,471,102,104,
867,479,632,085,278,490,081,957,547,914,038,841,289,851,070,697,982,200,921,
939,880,670,539,704,541,352,255,869,712,515,154,480,126,329,555,337,745,782,
218,193,249,862,210,294,743,663,468,926,306,245,473,643,361,504,648,665,937,
866,234,383,025,808,216,516,622,598,237,907,560,296,406,989,155,875,598,301,
018,487,422,679,535,798,711,970,381,742,513,566,088,283,688,187,098,319,330,
635,490,418,968,108,248,564,436,660,432,721,910,069,420,105,675,405,207,261,
629,309,865,260,733,147,786,681,796,610,857,909,245,080,657,673,365,771,878,
983,279,389,501,013,080,735,634,188,645,844,649,651,730,416,147,282,783,373,
931,203,282,803,472,520,519,289,630,308,590,092,101,969,442,682,360,255,789,
913,506,547,320,696,933,320,397,406,117,028,968,678,091,375,453,066,039,405,
145,810,166,155,620,117,618,067,458,525,028,655,596,053,596,186,370,294,889,
883,073,370,830,344,218,825,164,967,175,701,486,018,747,849,223,314,560,340,
896,797,684,917,669,764,196,969,321,728,281,328,665,704,212,831,215,879,507,
878,754,350,913,208,365,676,272,906,944,083,311,207,253,675,121,357,750,102,
908,044,451,188,012,623,769,435,066,038,935,124,038,654,898,653,685,295,990,
108,759,971,616,876,490,070,803,739,827,665,689,990,939,856,077,000,078,938,
595,666,429,737,656,366,129,396,286,736,163,273,752,111,052,296,731,019,322,
235,647,438,334,607,673,515,586,526,572,846,723,464,689,718,900,426,004,296,
263,415,391,756,714,616,383,750,226,641,607,543,512,109,524,337,663,535,146,
228,263,695,458,768,745,369,473,714,426,636,390,494,711,799,891,318,375,802,
707,039,105,143,154,895,030,646,329,481,831,481,446,750,870,428,832,125,002,
728,886,302,756,520,658,711,352,280,880,687,119,357,824,642,292,815,650,578,
539,331,727,608,874,901,474,795,103,432,131,772,491,574,261,456,743,137,480,
754,851,943,363,906,685,392,091,875,727,543,751,234,915,480,744,469,659,158,
233,204,519,496,055,245,639,648,419,523,005,399,523,031,890,569,101,177,211,
240,535,989,416,674,672,070,286,754,267,475,067,632,474,860,873,853,434,081,
184,943,185,132,416,036,059,307,559,445,616,756,318,845,668,556,873,696,002,
246,080,291,991,875,351,932,308,179,888,420,702,605,281,857,439,198,884,196,
737,154,735,834,856,114,443,330,214,157,974,310,918,032,799,535,867,468,461,
991,906,315,593,497,757,173,714,015,559,440,565,342,929,704,188,981,889,204,
571,329,392,636,138,380,363,615,914,358,002,062,984,947,900,902,289,454,905,
977,814,425,466,687,218,732,376,434,559,759,903,989,118,266,859,274,404,984,
536,651,787,296,586,772,520,043,225,374,643,113,997,585,916,857,789,240,660,
277,577,789,264,915,400,627,831,438,114,533,283,861,825,568,649,478,540,614,
077,004,558,444,590,979,145,387,102,117,709,208,527,649,028,056,941,448,881,
973,027,841,791,138,202,010,778,389,530,201,277,548,551,897,364,143,773,008,
612,794,027,152,579,281,882,821,305,897,370,392,977,686,700,011,842,794,391,
800,135,192,446,754,221,672,081,463,355,391,385,329,148,801,552,208,422,422,
198,413,865,540,486,882,000,797,498,459,284,461,952,085,102,888,203,285,592,
407,816,189,017,869,891,685,960,574,302,226,494,742,418,023,220,587,975,399,
543,370,543,001,794,737,592,645,389,070,842,054,886,391,221,122,058,208,007,
798,546,804,408,505,348,254,481,928,434,003,588,104,176,295,086,797,353,154,
270,400,756,708,177,753,257,465,064,641,762,259,060,047,353,376,265,446,723,
718,835,839,142,333,639,470,749,119,590,981,926,351,854,809,080,307,608,916,
489,474,164,226,250,813,392,310,219,740,336,299,699,253,102,602,562,583,177,
317,648,799,893,073,931,074,042,015,804,220,702,767,092,601,535,321,292,032,
771,944,709,785,409,597,247,309,105,374,978,727,912,376,770,090,082,934,107,
314,565,793,923,407,604,803,912,333,935,092,643,451,192,648,120,416,584,842,
743,087,948,578,942,707,650,207,405,632,967,944,781,360,594,831,264,413,886,
176,417,450,457,887,153,295,597,520,866,624,544,548,885,591,333,642,305,439,
890,872,690,982,126,899,327,278,226,287,976,253,878,886,706,775,459,343,036,
250,603,205,522,588,885,974,948,402,172,346,453,012,740,656,790,613,096,973,
887,965,639,332,471,558,449,039,627,120,651,003,009,122,056,023,261,299,901,
106,508,767,241,879,488,511,734,335,536,645,602,215,527,915,481,724,394,893,
220,408,429,290,490,025,836,684,412,097,181,953,616,102,039,432,918,426,142,
342,718,309,446,193,225,068,653,519,438,989,152,881,372,945,812,555,217,930,
260,402,440,263,071,916,793,776,803,725,900,696,703,808,267,851,353,013,924,
963,806,747,961,398,190,133,055,871,672,074,301,996,570,035,724,545,376,668,
269,574,050,432,046,131,096,949,239,969,300,146,879,619,531,709,436,678,284,
801,726,625,633,928,416,661,515,594,744,785,204,409,852,241,878,925,512,803,
873,380,269,811,865,613,266,363,883,607,547,266,100,753,180,904,084,880,368,
175,803,646,831,155,386,023,145,343,915,706,355,128,147,563,133,910,961,073,
109,030,074,124,551,193,180,406,585,616,249,809,384,742,147,508,979,022,077,
372,010,469,671,783,306,902,508,053,197,297,724,652,408,161,253,805,971,823,
176,460,022,953,918,781,071,211,009,842,740,646,156,744,930,028,442,653,012,
231,763,213,088,543,873,656,534,093,544,251,297,386,330,153,360,186,883,917,
908,952,717,390,416,504,915,964,985,627,567,009,656,393,386,794,144,850,818,
132,137,485,979,291,325,937,748,019,944,255,331,382,428,683,258,110,113,041,
026,408,130,717,023,057,404,106,959,923,173,574,054,758,673,859,120,689,951,
631,779,611,999,106,025,111,129,139,257,142,829,802,531,512,735,801,544,967,
518,383,298,462,744,752,806,155,378,787,909,390,954,404,280,524,595,266,244,
250,846,539,953,778,541,016,781,696,475,125,054,420,190,886,378,153,731,925,
401,890,535,113,005,390,690,260,499,651,826,501,152,675,191,117,893,074,079,
369,452,652,968,421,040,825,964,342,792,953,048,352,976,255,309,216,138,853,
571,791,024,379,382,085,752,212,785,644,237,152,805,140,489,531,393,094,611,
872,652,797,932,376,679,857,992,212,829,766,725,350,631,123,048,875,325,286,
845,731,314,824,092,323,845,588,617,752,217,515,955,992,004,119,728,794,325,
499,536,265,065,288,016,175,092,068,710,271,212,067,115,809,506,247,703,292,
932,088,347,279,638,381,021,638,683,930,698,840,918,935,800,354,086,497,335,
898,384,256,452,401,829,997,562,531,146,467,775,204,412,067,618,302,094,801,
948,138,299,316,747,841,845,165,376,991,151,627,685,981,939,957,740,258,540,
662,804,089,489,346,683,254,676,569,647,182,597,796,106,408,727,164,419,961,
401,583,967,346,609,921,931,483,119,457,998,472,320,933,990,902,451,610,916,
147,588,450,315,501,846,961,888,557,581,492,508,108,975,279,198,575,268,860,
463,370,598,143,925,616,259,664,335,792,012,873,788,620,157,641,545,679,505,
095,115,137,580,884,062,643,206,280,482,494,442,603,592,845,947,396,766,267,
464,880,027,227,362,254,339,408,092,466,370,052,679,589,818,067,347,020,988,
794,367,675,516,768,017,196,111,473,321,960,757,517,682,127,022,345,329,879,
088,155,712,504,673,698,229,078,712,459,304,728,743,670,739,750,177,118,168,
522,004,476,728,836,182,838,134,039,407,634,389,005,438,244,278,996,388,023,
381,152,336,944,803,777,837,999,073,693,608,190,551,661,012,775,681,768,280,
275,252,992,149,570,296,628,585,045,446,571,036,013,389,346,599,724,221,732,
708,578,149,356,879,842,351,502,295,923,554,214,095,868,976,695,587,017,888,
671,186,552,730,463,714,037,921,904,103,542,988,333,237,238,630,699,951,319,
280,383,583,088,972,391,772,967,567,983,271,982,763,210,273,772,921,105,117,
513,234,956,169,080,830,407,426,560,693,438,846,792,346,999,251,160,560,937,
625,081,355,545,388,892,865,284,712,798,305,524,848,226,824,853,814,593,709,
794,377,052,330,904,549,988,251,000,709,665,556,665,407,981,093,476,685,713,
602,948,507,560,420,713,494,953,363,203,371,703,589,667,317,232,719,707,979,
265,345,652,257,465,608,258,179,164,172,476,865,692,997,554,106,854,241,666,
921,651,388,753,478,195,366,603,307,704,284,674,762,924,596,613,269,308,900,
908,518,570,180,626,444,345,820,026,817,087,954,284,671,359,532,883,027,761,
567,384,776,588,933,479,564,091,385,666,235,110,361,174,229,269,190,899,150,
452,642,311,616,647,055,525,890,947,925,111,233,795,700,103,341,210,162,994,
907,207,856,485,634,770,982,457,761,533,596,497,066,245,410,161,985,620,398,
096,505,724,688,485,201,637,421,056,169,633,494,773,133,526,045,104,492,903,
355,097,404,692,165,367,165,766,639,438,321,124,604,459,485,768,691,933,843,
681,851,278,922,608,585,187,418,485,963,858,107,795,205,691,866,203,478,230,
513,807,945,734,759,612,849,814,502,138,076,097,925,494,916,543,138,579,096,
085,379,763,695,770,583,705,900,109,661,226,494,374,521,085,546,061,179,514,
460,504,715,146,984,830,681,029,348,896,612,505,429,819,486,789,509,536,129,
634,603,984,326,367,673,839,219,242,284,226,228,428,724,924,030,365,896,298,
801,723,618,928,643,873,574,980,122,854,378,380,252,539,389,355,359,400,628,
645,293,536,705,023,697,488,600,288,976,033,972,496,690,559,977,081,358,033,
735,152,857,247,184,886,672,917,180,368,355,872,135,174,590,101,528,884,581,
317,107,262,274,712,598,653,224,348,897,327,709,224,612,665,939,222,629,623,
541,273,244,665,174,275,494,641,588,775,923,680,452,326,160,183,668,432,023,
412,016,297,683,326,415,588,033,458,807,990,063,934,876,111,123,766,209,194,
942,493,182,654,117,484,305,030,302,897,245,848,581,883,169,363,071,353,469,
339,904,444,789,607,843,597,268,558,590,396,305,589,799,445,327,835,771,581,
317,084,001,952,712,451,921,998,981,956,699,353,232,863,387,578,621,735,506,
760,961,097,636,260,877,519,193,445,652,776,999,654,106,831,979,236,634,846,
259,501,180,785,253,992,820,847,419,921,712,578,559,235,067,312,116,636,780,
969,126,807,734,501,908,371,596,232,581,931,271,243,212,592,377,349,651,317,
029,780,166,513,447,340,880,757,344,710,879,977,890,052,361,657,958,616,208,
527,399,280,929,651,798,649,518,724,770,046,729,013,740,591,154,502,854,155,
617,051,532,191,287,887,199,196,790,738,010,077,805,626,944,959,110,324,402,
160,336,083,215,201,239,646,839,856,824,831,850,123,277,647,725,219,678,662,
677,141,467,148,625,970,669,979,869,295,217,388,503,115,093,643,031,213,129,
591,969,304,747,476,266,195,667,977,979,018,038,300,032,435,555,979,963,643,
465,169,396,307,217,473,130,997,280,685,628,879,991,923,703,192,607,247,820,
811,263,011,044,882,285,212,761,285,698,558,130,643,137,601,887,009,142,620,
765,092,861,603,923,611,775,880,816,843,843,060,151,094,377,684,953,408,600,
758,876,116,169,196,008,672,880,252,965,302,129,717,753,715,439,083,200,990,
794,363,401,374,758,871,583,025,244,482,257,730,821,732,163,963,302,671,377,
469,308,136,062,290,566,723,763,563,725,433,072,531,535,949,802,474,656,640,
492,071,654,271,224,406,139,423,989,378,810,816,274,639,716,868,226,658,340,
269,354,805,444,319,239,619,303,554,466,390,158,161,910,229,281,690,258,496,
138,972,448,046,759,287,246,254,042,404,996,874,280,792,713,707,600,800,894,
272,069,638,462,214,416,653,561,523,319,977,282,800,510,057,000,706,614,800,
736,851,503,915,422,081,881,975,080,300,803,763,472,328,918,275,527,689,316,
786,148,939,677,953,976,933,555,965,223,092,364,419,085,249,175,920,354,218,
275,902,597,647,661,422,681,787,699,663,726,819,776,995,328,618,682,931,221,
321,344,428,267,738,682,768,727,496,286,625,367,507,001,093,827,168,076,032,
718,119,530,869,885,265,072,968,325,720,436,270,704,695,395,253,526,867,726,
960,576,582,941,789,618,947,724,703,330,616,768,109,155,721,330,260,749,450,
170,879,444,914,827,856,106,747,029,166,406,789,017,951,647,988,857,984,917,
280,930,052,283,550,918,454,236,416,929,929,014,796,407,425,333,915,123,069,
266,793,050,608,736,641,672,815,035,962,821,249,593,675,357,625,386,373,746,
981,980,116,628,983,030,203,408,482,999,886,519,539,957,330,756,190,302,831,
838,945,465,084,436,696,182,753,319,453,006,964,445,479,955,733,152,574,771,
194,482,894,320,786,262,302,147,600,637,220,095,706,430,094,210,109,257,416,
775,432,810,627,553,629,674,327,626,991,833,637,582,467,101,665,100,769,522,
018,019,010,809,326,191,612,866,514,538,775,675,893,986,868,217,669,695,654,
792,219,291,741,586,863,254,475,879,149,755,352,666,377,760,424,157,034,055,
679,684,365,170,588,966,231,982,706,707,255,625,802,571,141,831,849,229,806,
668,137,107,351,936,032,091,249,213,878,409,553,707,917,294,437,919,663,582,
833,721,365,970,127,682,458,957,621,938,691,815,925,337,477,918,542,030,948,
888,055,413,042,504,115,740,042,203,781,365,337,050,839,815,730,054,368,684,
139,014,526,449,494,346,324,880,074,514,495,574,289,360,844,531,334,930,896,
611,596,522,536,434,604,299,806,735,259,183,259,959,682,210,136,410,489,919,
189,217,269,731,394,119,226,532,517,526,742,270,098,930,330,739,602,940,100,
024,025,682,602,545,935,363,330,344,764,985,182,779,224,185,628,509,568,665,
957,351,980,284,400,976,860,462,311,919,075,541,916,552,012,924,305,341,857,
123,657,457,179,121,440,529,476,789,662,930,673,311,899,451,624,820,731,887,
923,142,989,199,687,741,037,859,946,984,342,875,102,967,826,646,008,601,292,
143,359,199,296,496,160,510,987,540,547,248,774,621,587,727,959,585,197,971,
257,439,475,263,139,709,802,696,472,435,932,639,039,439,395,897,380,817,077,
179,057,128,820,227,780,339,986,992,949,150,540,645,437,432,942,575,662,721,
471,838,633,235,812,948,305,835,393,047,352,626,478,921,244,766,953,896,653,
257,424,949,931,526,702,781,140,104,011,166,186,415,003,301,730,340,692,997,
100,087,961,531,334,525,737,101,085,103,878,320,196,218,553,443,616,903,653,
946,888,208,976,350,763,658,871,240,961,192,010,930,452,532,445,138,922,562,
352,475,116,545,477,429,583,212,044,637,366,307,784,431,776,192,575,984,391,
027,887,899,886,360,783,266,744,752,332,729,100,662,554,605,785,210,103,031,
179,361,266,657,240,439,717,013,585,993,831,071,151,381,363,150,366,155,193,
706,499,655,967,430,610,935,548,654,095,711,470,444,761,382,309,731,399,341,
328,799,974,029,812,916,633,429,441,642,404,408,608,199,859,007,908,024,010,
079,302,788,885,810,924,513,280,950,247,112,768,785,850,885,652,509,875,561,
445,589,269,692,508,806,407,240,376,493,589,929,581,613,127,825,758,246,281,
195,620,621,413,149,686,761,051,342,698,626,615,702,008,711,133,720,831,564,
673,225,412,770,242,560,080,282,426,420,658,630,405,918,965,589,464,216,969,
883,016,307,290,942,966,580,639,448,776,445,179,387,156,425,026,863,718,568,
873,699,119,174,698,286,960,026,019,456,910,734,028,257,327,580,274,672,394,
272,710,817,467,237,114,089,847,961,975,177,555,277,085,256,760,671,980,772,
953,867,475,615,719,861,425,820,620,135,163,383,621,981,952,588,981,356,235,
260,409,037,900,853,598,506,566,999,695,037,649,789,255,408,650,477,700,505,
998,721,872,237,550,651,055,642,319,114,784,055,857,100,080,812,315,302,498,
763,847,304,960,740,628,199,404,237,651,932,429,349,501,987,846,130,051,691,
597,313,229,283,760,449,998,771,772,393,056,325,739,588,983,553,473,767,440,
221,219,485,944,395,419,816,553,039,669,938,573,117,910,541,000,919,684,826,
771,668,273,171,700,924,570,489,378,862,451,022,543,887,788,630,371,819,545,
954,026,967,040,776,802,758,919,902,773,246,585,641,349,260,496,339,922,646,
018,510,509,683,732,411,848,020,714,442,974,383,450,917,684,557,154,025,088,
020,193,166,163,559,371,005,970,399,947,762,403,752,769,734,336,604,599,043,
906,936,429,965,939,441,605,490,046,892,238,614,665,617,405,565,736,757,867,
623,339,032,479,901,026,314,882,339,462,309,324,122,095,452,903,535,719,849,
138,012,288,573,306,937,525,883,356,069,545,756,382,781,681,057,192,391,863,
480,478,299,191,123,583,035,617,990,052,731,160,295,728,294,880,252,859,168,
628,321,301,707,137,901,360,175,512,024,048,592,688,274,496,434,008,330,294,
229,661,944,829,143,096,971,116,634,448,936,697,828,325,463,035,690,054,778,
596,698,012,221,561,940,356,765,059,287,521,275,435,387,821,386,558,984,801,
781,861,509,410,477,632,754,353,007,345,703,864,403,290,471,922,047,655,762,
235,686,498,640,229,289,343,843,681,037,888,625,270,232,060,548,181,127,591,
157,242,522,955,690,035,780,992,064,221,297,256,464,068,571,624,359,116,731,
455,031,893,908,718,198,789,508,663,615,676,601,611,675,174,303,570,934,566,
019,855,021,706,992,417,400,957,914,795,986,706,424,296,269,000,083,939,600,
158,398,877,945,303,668,321,798,674,319,091,686,311,429,656,020,516,127,800,
202,580,110,053,739,382,909,246,081,610,932,019,451,774,204,221,878,626,788,
486,159,721,331,633,306,066,593,722,029,519,129,789,953,654,289,538,316,730,
835,858,331,475,296,502,929,546,222,379,599,615,082,415,088,099,507,368,036,
633,746,772,349,234,377,697,998,531,524,937,696,159,998,015,774,161,313,028,
330,492,494,555,296,530,324,211,255,844,980,058,849,434,234,132,741,648,700,
995,910,837,928,908,731,995,683,326,417,838,701,472,181,849,198,114,957,753,
648,815,797,338,339,176,939,323,888,738,926,075,773,431,731,312,835,744,272,
680,069,320,181,618,759,397,407,497,327,898,576,341,875,373,485,337,667,617,
664,085,400,264,795,393,941,760,039,261,008,038,368,458,177,336,336,083,743,
810,764,962,883,578,121,652,281,260,279,964,231,015,649,359,841,310,389,045,
213,904,292,234,864,469,271,002,337,914,069,331,525,081,985,961,209,268,747,
365,847,253,168,051,748,183,110,805,056,272,458,628,434,860,490,157,243,639,
512,740,083,278,015,149,105,362,414,994,217,850,726,064,918,307,729,274,751,
182,450,385,324,526,547,886,821,352,627,360,237,500,705,808,848,615,392,368,
590,214,102,343,061,025,795,611,066,611,055,309,232,171,456,842,825,546,674,
303,550,706,687,738,363,264,420,644,618,727,316,127,671,996,750,003,366,557,
852,032,113,555,689,491,593,823,896,011,037,092,539,508,847,185,063,893,290,
692,746,359,514,206,564,331,698,708,866,422,580,006,818,661,002,979,672,088,
341,952,325,508,241,404,463,293,750,566,048,881,218,040,722,844,743,302,109,
007,971,022,444,524,178,208,038,852,838,361,422,142,435,611,438,727,324,491,
484,995,824,985,194,436,073,538,368,124,257,956,263,191,845,082,544,007,355,
625,691,035,376,622,451,297,854,178,009,444,696,277,914,989,141,879,198,704,
165,296,217,664,529,185,564,733,560,206,637,296,908,874,884,838,642,349,512,
295,438,926,233,437,607,412,446,439,383,311,399,323,982,063,446,858,826,371,
271,546,920,090,410,907,674,341,015,306,270,175,140,876,098,575,882,736,963,
057,902,149,488,184,815,713,921,655,919,663,965,551,702,787,622,192,470,197,
156,284,827,624,892,619,199,504,047,670,275,765,645,579,877,103,481,415,818,
364,478,927,196,860,146,591,587,388,270,258,140,424,711,655,324,592,180,439,
638,829,647,604,981,032,492,781,130,936,944,631,695,067,619,167,502,640,839,
248,614,629,061,293,220,708,720,053,548,804,601,188,015,956,836,957,887,470,
874,612,121,990,794,656,126,831,100,857,414,274,904,920,599,003,650,577,594,
934,180,597,598,092,345,261,415,119,487,548,653,981,841,471,286,815,039,974,
824,840,125,679,564,030,131,639,851,390,083,271,364,623,436,837,102,736,518,
287,491,190,104,873,910,421,122,751,004,822,387,530,802,337,325,505,459,467,
965,437,169,492,970,735,865,386,291,750,208,020,972,210,536,702,348,363,075,
108,160,395,433,104,576,412,379,345,270,995,678,771,775,022,714,389,278,255,
494,772,031,204,397,120,501,388,805,964,824,437,212,819,398,626,386,628,485,
449,077,591,651,642,489,351,639,869,930,062,659,248,508,149,139,216,563,071,
025,901,495,157,870,127,886,910,984,774,037,060,011,121,591,369,844,853,137,
941,388,888,522,019,845,205,977,471,632,603,702,491,624,718,187,460,619,180,
040,086,383,188,015,965,965,739,054,085,659,292,884,383,671,298,721,199,301,
011,701,791,107,888,552,487,883,925,865,453,325,200,272,524,311,633,039,708,
737,561,519,981,009,375,845,921,056,165,287,172,563,382,029,782,544,201,524,
927,532,568,718,763,237,086,236,985,929,020,782,593,953,263,308,638,828,762,
521,203,745,456,698,121,543,077,213,688,170,704,545,898,581,130,428,682,704,
808,297,029,289,838,473,713,887,824,381,071,811,472,670,748,930,749,587,095,
641,224,748,316,519,360,294,534,446,610,326,778,214,134,717,810,215,219,312,
498,338,961,031,095,553,447,338,052,748,506,737,079,803,252,694,669,168,828,
226,657,937,058,121,934,153,785,399,900,563,164,526,852,942,779,128,748,836,
066,249,289,030,557,754,451,586,059,115,362,106,259,950,807,005,636,846,287,
578,630,958,876,375,797,490,100,412,013,298,078,274,589,576,608,565,231,108,
551,530,901,114,353,076,237,912,640,779,801,978,863,931,838,840,245,745,029,
897,694,719,925,957,385,182,909,170,133,997,647,312,410,764,262,991,515,325,
939,082,485,022,094,377,627,914,291,053,518,452,857,118,933,324,780,258,917,
779,842,102,406,401,337,389,365,202,645,935,243,689,010,697,078,457,681,767,
930,812,578,392,682,742,045,692,284,594,399,000,114,625,615,462,636,125,573,
945,801,249,674,141,976,321,745,579,010,584,310,659,583,168,364,879,824,398,
756,759,966,597,508,177,138,648,244,165,695,843,680,637,833,518,636,654,565,
285,171,620,586,295,368,277,842,929,957,561,493,343,954,927,156,912,388,443,
211,591,099,155,209,412,322,688,659,032,022,314,482,438,042,905,109,829,502,
655,834,318,143,797,689,186,546,035,209,461,047,356,639,302,606,595,616,446,
154,125,345,436,839,854,489,590,316,040,898,768,702,661,337,102,203,167,914,
015,652,979,254,634,930,455,855,655,345,513,241,223,572,780,916,961,519,578,
480,214,843,608,763,081,172,389,076,939,921,812,729,124,144,864,707,870,399,
591,030,302,653,189,510,784,847,494,777,643,536,661,702,267,713,324,047,929,
949,950,219,291,931,701,282,065,400,872,785,254,177,269,819,172,512,592,972,
434,185,202,315,618,287,784,714,169,484,375,970,974,137,402,425,610,168,308,
594,418,308,368,463,870,621,116,048,037,970,893,181,224,872,934,128,347,508,
955,685,181,977,235,109,479,139,267,391,320,410,695,595,148,258,057,296,626,
148,928,596,288,327,432,628,300,815,828,477,720,714,421,828,886,512,920,013,
491,365,413,034,475,834,963,303,742,052,532,813,322,262,385,731,603,631,262,
034,933,669,016,502,487,450,329,415,928,284,147,407,440,991,937,044,881,864,
776,945,700,945,398,372,965,732,238,609,133,081,922,982,246,503,134,339,127,
649,534,331,715,902,462,489,628,060,943,466,452,480,206,536,549,710,779,875,
657,953,894,280,116,543,474,096,949,598,206,180,169,382,578,943,620,701,272,
287,012,629,655,268,640,820,629,917,660,449,696,896,646,175,801,426,332,899,
105,636,893,446,762,575,854,903,697,564,548,648,230,460,634,862,079,146,973,
749,352,731,688,425,531,390,319,518,504,975,737,397,696,239,862,014,746,305,
751,356,469,274,716,980,531,625,225,252,960,582,324,137,026,636,271,198,123,
731,202,719,458,869,890,365,845,253,489,707,123,922,314,258,589,112,429,924,
520,863,205,890,485,723,692,451,565,719,845,127,991,889,653,122,620,574,094,
639,407,320,657,268,168,642,866,734,878,923,670,345,467,184,041,307,821,525,
390,755,987,744,093,867,221,717,803,988,134,735,068,932,023,802,120,580,475,
076,850,882,006,896,412,108,110,357,046,852,924,017,193,485,680,191,858,356,
164,606,214,004,693,588,169,927,922,148,491,488,225,326,575,326,858,392,285,
795,708,635,809,932,393,862,718,708,510,869,380,932,302,245,703,557,947,354,
402,392,986,585,462,919,093,100,132,857,410,034,004,891,929,446,631,675,667,
450,966,784,878,576,444,158,172,550,189,499,844,652,639,650,344,355,973,421,
800,523,574,944,516,015,250,436,736,946,802,324,634,203,703,319,081,599,614,
935,262,369,073,383,748,418,827,427,678,812,191,762,453,804,422,936,665,940,
254,257,031,187,660,333,343,244,153,943,079,266,860,487,583,703,369,477,278,
293,302,200,458,132,447,818,895,158,493,666,774,645,297,673,126,754,485,166,
118,866,960,422,197,969,666,527,877,157,459,761,435,138,876,607,195,853,264,
849,644,274,658,960,386,160,455,245,393,267,614,575,808,600,669,024,728,471,
545,922,520,061,241,275,498,636,767,170,771,907,762,369,139,907,127,924,971,
187,500,859,270,508,418,807,293,841,405,771,606,460,525,795,080,052,872,062,
990,462,698,466,617,849,954,941,940,097,711,712,872,439,226,233,741,593,300,
047,479,145,333,081,374,402,072,450,459,598,309,398,560,137,179,288,019,028,
604,427,461,821,428,818,182,986,592,380,791,528,152,370,555,519,266,823,570,
515,672,701,889,913,611,760,683,194,382,773,230,371,657,438,139,072,744,796,
391,672,396,469,389,314,841,268,244,673,860,258,279,956,114,232,529,611,802,
333,530,517,408,765,409,628,796,717,371,427,483,144,178,085,042,304,973,971,
934,080,699,610,113,073,871,464,870,662,932,362,823,544,051,575,948,789,482,
542,694,965,588,308,827,776,017,991,896,671,855,974,073,220,556,855,408,381,
588,516,707,990,453,736,629,674,080,585,037,553,635,498,079,805,967,055,452,
988,591,643,526,865,725,979,577,837,302,500,822,767,882,518,773,981,022,580,
553,300,835,411,790,265,863,429,897,612,711,944,994,636,752,364,952,755,085,
025,009,817,941,254,197,322,831,953,391,850,016,060,115,346,508,739,853,412,
192,652,011,683,908,153,912,095,412,469,357,407,377,542,368,953,908,642,656,
608,512,931,975,126,629,424,148,587,027,483,973,847,778,760,812,531,278,711,
965,297,774,846,275,410,292,427,347,852,531,266,451,959,085,625,525,601,593,
782,799,183,490,949,368,720,221,193,507,564,858,113,426,351,425,753,873,569,
293,546,705,310,912,504,024,370,834,221,992,171,803,629,462,275,627,048,620,
525,749,688,682,496,351,614,183,159,946,866,034,017,102,308,829,409,101,273,
911,150,256,044,404,613,838,243,871,680,045,652,847,626,832,329,887,363,417,
960,048,502,909,135,922,473,285,899,211,294,304,338,450,614,399,003,309,360,
349,409,725,751,699,019,609,996,163,607,076,847,496,514,035,141,835,960,551,
188,784,240,357,244,445,761,004,040,190,512,001,345,760,069,121,187,622,129,
364,826,116,472,816,448,828,994,754,650,330,655,550,111,103,161,350,003,821,
263,581,258,795,493,147,272,984,703,452,677,491,511,395,042,411,196,216,091,
404,253,238,780,655,187,259,637,073,104,569,053,678,358,616,109,654,333,168,
834,213,891,747,863,232,629,197,770,842,770,147,683,537,047,357,743,318,485,
779,268,887,131,345,293,300,393,862,111,622,426,112,418,235,241,736,654,350,
705,090,529,258,388,509,540,580,201,299,559,743,744,537,326,800,684,292,201,
456,320,884,566,017,419,889,698,385,865,997,240,736,463,649,565,218,206,701,
210,774,690,207,221,240,012,977,268,027,265,308,500,414,430,349,966,602,160,
783,104,485,257,881,374,719,505,741,152,842,731,846,097,131,215,606,291,724,
695,927,391,027,031,183,501,516,539,833,570,728,051,933,187,140,783,979,996,
283,771,728,360,420,114,251,250,399,024,328,266,149,482,449,992,764,884,753,
131,798,655,266,829,575,197,599,236,635,507,905,321,917,312,360,178,567,018,
715,815,358,116,644,823,119,905,398,676,253,015,867,191,705,706,762,779,484,
239,244,030,799,364,457,059,597,602,882,759,364,202,199,135,941,478,810,584,
079,222,450,802,125,604,220,319,533,796,547,801,857,085,341,889,433,417,056,
157,581,295,835,977,111,371,047,412,476,945,119,940,767,713,752,093,782,533,
943,222,403,357,682,898,060,055,237,267,429,426,387,407,577,973,199,147,355,
298,392,194,798,160,000,476,266,430,239,241,848,459,227,024,366,176,578,971,
087,916,722,052,758,423,147,111,365,356,834,503,215,829,379,338,406,534,568,
634,917,830,760,045,092,785,870,438,884,795,001,259,757,907,900,219,728,061,
394,274,738,969,012,037,509,150,411,101,593,247,160,241,483,191,754,727,636,
390,734,694,523,170,542,508,387,333,797,817,311,161,396,997,515,072,668,080,
810,282,300,451,796,788,279,154,837,603,084,548,538,535,778,715,595,043,970,
947,896,928,268,569,775,759,634,149,971,402,372,804,940,771,552,787,409,714,
192,783,841,239,547,763,867,344,490,397,144,610,813,355,253,828,919,407,141,
830,722,894,226,480,623,394,327,314,096,610,346,084,766,460,914,837,637,581,
058,625,932,309,855,343,766,580,589,889,726,701,583,025,229,179,831,646,433,
597,070,805,707,024,710,591,063,570,053,856,375,675,039,712,712,137,317,587,
048,400,853,473,043,119,052,056,885,710,928,006,762,054,449,551,329,004,554,
794,012,386,428,048,219,142,382,441,453,559,383,450,067,663,347,793,427,506,
886,896,817,997,393,085,630,412,450,974,077,277,415,923,558,141,735,439,614,
123,495,725,367,057,361,294,488,046,959,899,611,994,686,994,106,125,674,370,
440,143,352,762,317,153,651,388,066,780,076,617,286,433,590,398,666,027,328,
712,742,790,223,071,931,548,748,343,585,513,275,762,698,878,530,097,454,434,
769,503,299,079,476,214,100,705,293,305,353,491,995,280,406,643,701,825,463,
514,188,006,145,655,907,001,101,867,414,581,350,245,643,377,465,807,336,659,
077,729,418,739,093,439,292,069,075,088,519,535,747,112,955,616,871,344,991,
849,421,133,734,775,378,207,948,297,364,661,162,925,196,027,543,290,937,585,
721,145,956,845,359,293,169,170,444,607,700,264,963,079,868,593,933,876,248,
435,673,396,894,722,378,778,186,112,847,100,405,534,068,214,803,246,262,144,
502,935,928,369,488,700,448,296,039,926,511,155,291,025,046,555,737,511,904,
018,574,213,196,562,556,683,681,752,894,408,750,188,993,761,408,054,565,137,
791,931,594,213,686,667,576,689,753,876,596,013,099,598,577,633,880,663,205,
628,011,740,034,471,409,107,187,399,464,820,705,521,048,027,714,978,031,075,
572,237,070,202,136,884,996,062,779,577,081,992,388,664,444,581,934,744,270,
400,234,935,195,392,575,586,758,376,880,766,948,015,296,189,921,530,882,953,
389,543,814,188,585,411,064,572,559,548,055,874,676,804,429,164,073,513,470,
399,074,227,114,005,413,022,694,228,351,572,604,977,776,491,643,514,064,956,
328,791,311,617,090,730,603,622,139,088,768,407,873,196,084,837,679,191,763,
676,559,677,319,868,592,796,412,293,055,547,509,181,898,469,795,542,562,796,
415,071,360,426,614,418,276,923,790,226,918,866,968,389,976,230,569,882,610,
674,126,834,866,392,337,939,618,994,340,283,817,363,191,865,046,044,708,225,
390,026,086,097,983,870,241,442,162,891,138,305,112,902,398,693,713,788,774,
000,725,866,837,067,688,849,244,599,890,007,008,581,248,672,041,272,841,601,
151,845,561,709,210,984,946,309,883,923,764,644,003,534,497,923,660,274,301,
588,919,811,511,426,817,313,889,551,389,725,940,246,607,560,900,354,679,119,
971,973,893,641,287,271,687,221,409,467,283,647,283,019,616,390,410,051,281,
999,256,273,100,179,873,612,246,926,344,695,444,759,036,765,647,495,603,438,
692,290,348,579,405,746,721,239,565,940,403,857,966,891,679,299,865,440,531,
876,299,156,957,168,242,569,538,532,175,978,464,048,411,617,192,531,118,031,
643,598,137,396,025,022,957,694,782,129,733,883,070,172,376,835,101,696,180,
387,152,889,678,116,823,385,723,448,854,879,297,118,790,769,024,834,476,803,
151,705,592,561,891,722,643,068,852,842,403,775,513,839,795,016,073,623,068,
692,894,085,996,694,187,778,942,123,724,212,097,791,376,802,080,429,196,368,
027,150,484,099,431,674,296,575,574,319,441,259,314,761,912,413,180,848,012,
889,248,530,348,792,356,087,859,348,052,821,366,285,765,069,498,440,689,779,
484,124,188,757,468,198,483,225,277,119,855,655,270,650,486,834,924,005,067,
326,839,478,941,270,968,672,721,181,535,741,306,457,624,321,188,108,033,073,
501,903,345,511,102,594,307,344,249,643,508,486,449,890,158,283,357,743,628,
354,998,788,191,211,096,119,889,824,747,430,884,799,267,832,543,613,358,664,
524,248,816,621,294,582,424,811,772,583,081,620,933,473,631,085,684,953,904,
630,792,184,507,379,102,519,909,230,803,537,209,080,454,336,728,891,109,470,
301,381,457,620,971,398,305,723,394,028,650,861,057,860,673,533,637,374,161,
496,495,825,020,776,127,127,872,886,936,446,989,099,231,720,907,463,627,619,
961,980,092,475,089,069,884,382,053,966,395,710,612,957,088,108,879,606,591,
523,570,002,826,976,218,723,367,298,716,272,152,658,763,998,211,864,633,579,
247,929,133,038,799,746,746,782,768,804,626,784,869,709,778,442,891,509,269,
105,231,522,954,467,134,128,607,718,960,909,329,769,608,181,147,814,180,975,
766,443,043,515,778,827,189,992,830,775,411,139,047,316,041,727,467,175,443,
070,273,328,044,113,944,087,189,126,053,879,444,724,875,438,734,961,795,242,
035,492,102,841,748,101,837,095,574,605,764,638,396,725,058,814,953,317,856,
322,719,186,120,395,980,341,009,243,699,262,439,309,000,227,963,838,094,998,
776,878,917,917,794,967,924,402,419,845,909,731,619,433,748,203,061,442,900,
586,957,171,531,429,803,533,451,891,661,345,626,841,042,708,935,392,731,607,
565,138,575,162,956,426,265,515,594,245,086,128,139,252,662,670,009,006,901,
468,334,847,194,945,640,248,020,134,986,741,002,066,703,989,498,136,920,312,
045,132,259,265,823,102,197,422,730,986,413,446,063,645,744,440,942,424,278,
191,958,413,610,084,640,902,468,647,332,253,244,594,526,600,108,852,621,001,
713,784,511,812,379,281,844,306,625,984,670,984,651,823,899,721,863,785,090,
000,937,715,872,553,736,493,150,368,771,532,797,801,042,658,811,337,063,348,
184,696,971,157,334,295,819,411,463,011,737,507,500,173,890,044,256,041,697,
115,964,609,170,132,208,324,496,819,927,000,694,553,759,619,724,744,844,495,
386,635,960,599,880,826,742,808,193,903,594,039,885,240,623,275,494,788,401,
246,185,904,850,214,563,516,116,095,900,078,462,045,861,354,360,161,794,327,
255,898,526,013,660,350,050,228,259,173,995,386,453,106,672,742,235,997,379,
295,554,203,403,816,811,527,438,806,196,789,047,664,328,870,218,516,587,498,
247,727,987,585,748,390,601,163,431,608,413,830,072,964,507,327,151,522,822,
036,333,599,727,897,288,497,393,419,669,676,680,785,193,123,989,828,551,838,
867,211,891,651,751,157,888,895,738,253,462,073,751,192,462,384,754,842,771,
081,885,244,569,023,871,893,537,433,453,588,351,859,273,037,137,814,379,537,
069,593,940,906,760,347,048,315,972,354,004,792,526,285,576,795,724,002,909,
516,099,338,274,803,110,589,753,230,682,778,315,420,235,470,958,859,749,075,
029,669,865,390,895,964,693,793,546,944,537,370,054,659,269,302,274,163,144,
110,205,871,777,183,644,256,182,214,354,156,665,530,788,746,134,206,022,876,
755,143,912,244,582,857,732,741,993,036,290,605,712,790,538,368,210,106,775,
264,590,341,779,878,311,719,376,276,816,870,908,206,815,817,496,609,223,738,
954,172,887,058,334,932,739,456,366,341,296,045,374,325,783,139,173,410,041,
077,445,739,680,658,944,468,719,729,040,344,475,387,454,257,408,850,151,662,
564,097,463,283,242,589,269,830,050,975,665,661,231,207,597,952,207,058,800,
613,670,808,796,452,440,381,622,871,093,942,157,025,327,701,195,357,269,971,
500,323,188,023,037,282,513,292,709,584,816,190,412,492,979,348,883,538,487,
712,797,130,741,174,973,754,962,917,550,948,927,677,077,736,330,860,011,398,
371,432,063,920,737,937,524,941,229,799,710,783,999,583,472,723,962,472,095,
110,133,157,393,392,289,792,038,388,391,537,891,789,412,572,417,996,680,240,
504,257,246,308,174,649,503,202,245,449,828,427,737,152,660,307,598,962,336,
250,775,416,776,574,306,498,780,537,751,608,673,483,570,256,855,023,499,624,
568,535,509,289,110,565,527,750,395,118,007,477,438,855,356,463,366,682,337,
213,482,249,273,211,665,249,326,772,590,418,474,553,409,742,808,184,735,044,
536,981,969,222,523,403,090,573,895,276,720,160,618,495,267,311,874,246,536,
861,867,209,406,900,136,479,062,400,053,485,854,172,360,496,421,495,562,646,
104,709,243,218,423,286,092,285,921,176,978,782,130,828,600,602,966,154,462,
325,085,439,890,303,870,526,949,870,924,886,626,167,894,020,110,453,939,150,
323,057,881,081,854,237,338,980,889,294,608,592,669,144,480,519,787,983,380,
462,364,215,106,734,577,052,730,994,994,895,244,398,268,714,766,169,045,686,
800,616,469,016,706,533,915,519,142,208,294,898,998,146,790,182,117,553,712,
702,337,146,978,040,366,521,959,691,947,837,912,630,252,419,535,406,017,421,
468,061,879,259,681,043,303,117,810,562,990,182,580,186,501,672,304,017,740,
787,680,103,072,316,387,420,526,311,287,210,185,604,740,586,929,640,138,325,
313,310,086,917,890,048,151,823,071,423,066,447,598,370,607,353,111,672,759,
422,486,362,476,558,820,334,120,144,456,863,260,320,355,969,047,215,336,516,
961,185,898,053,266,630,475,791,348,732,268,001,958,948,689,948,325,727,431,
064,110,277,818,541,739,979,519,382,506,505,568,767,681,642,622,777,919,435,
284,579,016,394,089,786,974,812,224,398,514,101,070,964,199,882,782,204,550,
826,742,179,735,827,644,223,291,555,060,052,188,588,372,319,242,374,652,235,
267,611,052,143,348,723,236,604,326,439,121,903,794,341,179,659,270,843,201,
823,224,126,552,045,584,006,572,898,602,653,329,478,642,777,214,820,029,445,
293,919,797,527,136,688,901,445,552,510,938,016,618,863,341,942,988,567,700,
043,237,324,123,541,275,101,544,637,225,767,696,553,159,692,956,924,620,263,
464,332,369,260,438,595,156,276,206,006,906,150,676,715,406,611,161,072,492,
316,084,004,750,409,142,230,205,930,047,251,807,836,882,785,114,779,033,563,
504,485,541,538,514,716,200,709,428,806,252,942,881,242,102,966,095,469,542,
365,546,178,032,928,769,634,738,671,790,213,617,436,709,471,441,514,913,618,
828,678,357,129,519,949,717,177,262,468,834,720,871,672,873,229,905,672,070,
229,921,164,628,373,642,356,369,305,659,875,275,126,949,734,620,398,461,787,
825,425,737,060,866,436,288,658,405,598,451,821,676,344,225,402,427,966,963,
088,122,969,133,937,046,577,992,041,712,001,121,704,668,939,629,679,116,609,
960,031,543,228,221,524,889,969,042,954,298,316,181,459,596,458,483,216,879,
817,642,443,691,163,915,102,894,863,243,089,169,610,896,283,435,676,949,763,
086,401,398,747,902,566,101,704,786,717,033,648,060,637,987,645,376,912,900,
847,956,327,851,854,818,189,255,665,330,047,447,146,880,332,737,075,338,294,
686,513,196,237,052,328,197,240,090,826,488,137,709,721,689,935,465,636,724,
868,303,056,042,516,239,462,474,486,481,051,017,797,951,382,729,864,263,206,
913,066,325,236,018,704,701,746,301,520,966,290,479,904,805,805,843,103,025,
311,016,245,265,981,840,515,140,264,370,664,423,636,017,935,555,642,204,151,
909,387,269,221,751,147,887,573,798,371,168,126,549,183,439,040,612,214,419,
479,109,764,925,028,685,619,177,411,033,945,002,917,355,028,100,222,175,391,
883,446,424,339,949,641,647,530,097,659,290,130,440,579,297,594,429,921,628,
335,558,732,551,538,171,607,222,543,588,598,174,949,811,603,784,264,296,668,
753,181,184,290,157,049,558,973,892,345,227,477,693,758,910,929,184,828,414,
069,057,432,192,321,601,584,370,249,919,484,971,439,106,646,020,326,564,620,
450,364,081,950,197,390,240,693,450,480,500,959,941,078,016,403,502,416,830,
523,862,988,799,574,056,460,815,958,389,559,528,760,992,234,232,269,986,651,
828,777,352,546,286,667,267,184,068,277,551,862,352,006,974,076,644,535,147,
364,487,771,657,418,875,026,956,907,542,223,722,381,183,640,689,212,405,198,
891,776,297,776,713,331,448,698,932,324,123,750,710,078,111,831,991,923,692,
513,320,909,421,242,254,280,278,714,741,134,883,468,648,200,459,032,933,122,
758,181,562,988,157,297,551,992,696,189,911,583,235,211,817,283,197,849,608,
765,878,057,174,863,447,327,894,745,235,594,184,317,900,807,704,983,585,696,
078,277,871,075,010,186,041,928,257,054,494,991,213,648,686,358,071,176,090,
623,971,746,968,131,540,518,677,499,448,317,917,602,945,277,561,910,141,689,
249,717,273,120,051,850,648,723,172,286,843,437,285,471,113,537,365,597,430,
871,848,313,034,657,869,815,813,828,243,735,449,601,399,167,539,162,839,938,
889,218,724,081,039,654,256,624,672,521,044,899,603,933,855,229,347,948,813,
017,537,967,308,516,054,209,566,359,671,340,974,682,007,529,724,215,617,641,
758,951,931,630,830,180,186,488,207,227,964,200,128,273,884,927,382,299,861,
620,470,717,676,680,400,104,473,114,740,641,170,247,557,654,963,828,136,039,
872,797,975,527,351,371,053,609,157,185,879,955,558,626,066,484,304,011,327,
653,775,189,610,361,636,327,455,362,239,759,329,192,712,766,022,031,567,335,
601,644,151,075,426,129,286,313,508,738,135,932,915,982,196,592,022,007,538,
964,596,709,395,359,518,344,601,989,625,858,794,070,649,602,197,274,342,764,
700,725,953,558,535,241,339,979,099,107,577,043,830,914,086,908,193,995,632,
959,360,196,540,326,156,394,956,806,757,865,632,465,013,236,022,380,130,044,
691,042,605,115,309,068,425,943,639,207,059,448,122,340,668,540,832,352,701,
044,068,678,199,766,296,246,396,456,922,596,937,558,382,117,330,161,149,791,
588,012,355,106,881,820,288,367,596,124,612,954,829,616,720,396,431,964,194,
642,630,444,532,977,568,102,639,357,771,173,013,666,435,859,030,572,735,169,
495,852,393,187,521,569,822,262,559,079,991,599,195,228,468,957,865,117,443,
999,642,872,808,299,941,798,008,393,238,657,954,981,141,575,087,064,084,507,
009,500,943,060,116,945,500,893,348,908,131,750,283,417,103,516,135,927,098,
987,727,209,249,723,184,538,149,179,757,057,738,261,391,928,247,246,139,882,
300,627,776,077,056,217,670,636,991,048,761,323,544,964,310,930,991,548,142,
130,367,309,212,637,313,068,785,987,921,345,935,704,788,833,114,167,981,826,
491,574,284,221,982,613,694,694,675,563,634,336,576,645,754,839,469,614,574,
594,944,788,710,462,035,275,297,991,148,411,293,510,422,766,243,690,780,143,
544,508,306,977,267,135,899,533,764,385,890,661,195,757,306,561,237,500,618,
357,889,033,686,284,479,675,618,718,311,887,766,268,690,956,897,702,896,640,
412,156,163,607,327,600,119,849,104,059,965,044,980,047,939,976,178,966,940,
566,196,956,557,384,543,133,132,974,906,212,085,250,778,142,197,177,151,611,
131,219,506,544,207,783,259,109,228,347,394,341,263,540,625,159,171,956,675,
521,677,530,335,542,424,391,281,130,205,061,367,353,117,261,688,594,805,458,
978,036,033,198,668,257,170,872,050,737,651,873,240,316,885,408,286,598,339,
492,509,975,529,838,190,716,314,535,772,323,791,587,324,319,530,177,439,472,
868,845,001,156,268,550,520,018,453,324,571,525,307,098,530,796,474,968,725,
943,948,400,564,140,695,630,873,361,080,418,437,683,254,178,345,988,327,381,
697,349,540,262,782,056,791,727,535,564,370,275,475,716,984,574,607,349,432,
773,508,056,983,283,776,237,450,044,015,640,815,318,824,646,409,738,148,417,
283,367,541,023,448,823,659,363,404,742,019,301,556,710,817,538,369,006,474,
422,616,475,533,544,347,689,193,167,343,094,057,323,060,114,597,170,701,058,
391,512,026,647,863,809,507,866,390,323,939,241,113,529,051,213,199,299,849,
099,636,491,539,965,798,472,217,902,474,132,328,725,135,138,348,207,576,982,
038,003,842,360,799,415,766,347,748,074,798,969,088,890,219,787,430,451,810,
149,211,355,229,768,481,127,515,065,334,735,981,302,908,924,128,386,805,900,
352,862,045,445,360,011,570,861,134,187,038,670,852,884,322,767,630,329,841,
045,823,883,168,539,022,420,207,108,787,476,161,058,935,941,624,598,360,216,
192,070,811,816,455,262,673,104,183,461,919,571,407,718,565,457,508,216,491,
522,357,725,312,238,636,639,158,796,790,069,726,007,444,733,344,641,567,133,
570,191,786,218,081,234,028,098,974,542,724,716,796,264,682,530,750,960,130,
308,116,309,396,051,083,470,501,159,935,107,060,939,834,646,333,157,378,537,
006,537,354,545,363,778,383,308,458,644,501,658,130,738,800,271,741,938,569,
249,369,838,938,084,847,394,922,615,969,830,644,915,309,966,989,268,157,958,
103,132,349,344,059,293,982,935,895,633,137,497,856,309,914,172,143,714,321,
146,235,088,543,418,318,621,508,616,398,045,506,130,956,540,837,550,601,025,
964,487,009,751,920,240,713,926,662,660,355,664,930,795,431,840,179,540,849,
882,674,042,959,590,756,002,123,230,411,023,135,599,506,353,898,510,314,975,
755,351,549,640,689,903,440,963,129,544,820,721,446,730,032,520,778,159,519,
917,075,078,718,636,117,668,600,288,657,478,900,467,710,535,149,120,359,999,
527,366,433,288,152,888,274,440,641,234,706,783,833,993,425,853,716,651,290,
669,348,716,703,247,267,427,209,107,850,136,878,211,111,788,861,349,970,813,
444,300,807,025,474,058,467,467,610,781,599,663,126,691,158,501,059,262,982,
645,777,549,205,217,617,509,858,871,486,972,979,719,441,677,096,085,735,008,
779,194,305,501,464,139,278,338,120,857,298,620,777,046,154,619,649,920,178,
563,443,039,844,984,639,937,943,212,970,190,981,812,146,169,358,463,862,011,
006,188,202,567,355,896,590,860,012,319,559,759,020,138,113,448,980,153,883,
700,875,056,738,540,614,513,127,435,300,390,469,894,996,026,759,954,955,712,
103,443,303,606,147,338,422,937,602,918,114,744,915,743,972,559,857,855,575,
368,906,621,299,049,107,373,626,651,652,631,765,581,076,194,967,263,252,232,
335,283,940,123,197,618,015,826,931,286,595,388,638,166,501,528,514,787,263,
972,887,851,363,467,922,343,456,797,310,771,842,202,092,590,163,913,543,317,
076,167,755,586,689,917,751,844,954,702,011,890,888,331,674,506,219,194,364,
619,371,674,065,183,319,272,350,221,483,612,315,494,202,056,241,860,194,501,
925,207,133,204,366,004,686,728,940,959,485,570,533,264,261,849,303,412,710,
823,087,559,447,986,505,456,466,570,387,939,234,617,632,425,772,387,904,317,
077,064,334,902,691,964,573,133,936,958,455,292,215,123,514,565,441,821,633,
810,801,633,256,874,715,455,945,906,038,606,877,856,551,158,006,325,103,056,
200,205,327,394,119,651,595,362,856,084,493,718,375,346,703,945,351,814,780,
464,452,355,991,279,595,458,259,449,483,482,033,034,826,488,950,942,697,530,
335,584,926,575,693,941,715,699,404,678,581,242,102,291,401,718,102,683,183,
200,007,654,584,392,287,706,430,939,488,706,014,503,670,913,179,332,418,540,
823,889,083,479,559,371,438,118,409,689,504,772,799,442,467,575,458,629,881,
853,697,351,260,710,102,495,635,747,108,854,713,556,627,275,658,092,199,545,
716,913,519,959,644,803,661,947,223,131,116,126,537,966,012,575,513,430,002,
972,106,214,843,896,641,785,831,130,700,447,295,359,389,696,865,182,298,468,
473,405,420,444,243,967,079,225,273,541,186,397,255,463,261,786,160,545,071,
517,317,288,431,153,575,252,887,888,486,675,815,865,668,390,984,175,129,021,
487,574,092,151,992,108,908,589,485,769,478,120,086,295,256,087,076,551,753,
018,733,210,470,965,978,906,255,901,028,222,693,580,741,274,625,210,323,682,
648,315,174,676,012,658,830,740,766,412,453,650,690,164,913,630,498,777,632,
489,106,742,861,222,913,794,363,985,757,709,652,545,028,823,639,180,682,438,
585,756,362,821,638,395,473,811,650,096,418,966,382,426,378,169,461,781,253,
996,474,964,620,048,711,112,882,347,950,918,021,417,384,415,843,516,986,401,
388,787,576,767,261,298,173,711,203,778,006,462,840,278,229,963,363,758,726,
945,673,184,219,385,643,850,176,588,286,757,920,423,907,437,338,052,130,340,
970,557,661,193,336,769,753,544,654,101,224,600,209,648,565,862,336,359,262,
958,281,745,371,786,792,308,891,214,708,622,674,623,257,383,041,209,544,248,
735,786,214,896,280,235,493,397,641,774,485,035,517,901,501,168,605,942,639,
906,725,995,811,328,046,027,039,611,019,205,303,906,074,880,436,107,935,070,
311,149,179,518,070,110,198,990,629,823,305,162,486,870,572,329,180,542,504,
575,351,517,567,776,882,407,819,798,266,763,199,609,716,647,002,177,438,613,
820,318,688,064,128,177,868,366,913,696,257,552,692,624,774,693,544,547,084,
154,179,270,243,882,040,784,139,835,259,070,533,595,383,319,770,903,879,256,
933,254,374,196,532,785,970,138,137,042,793,974,938,330,136,238,159,822,295,
774,162,694,255,148,704,990,787,689,399,403,070,269,244,504,705,796,303,691,
279,616,289,475,765,508,873,880,567,721,090,380,877,471,219,946,156,641,799,
950,702,234,853,024,492,911,459,456,801,873,090,520,392,026,015,223,232,626,
506,593,980,387,409,954,577,181,206,532,527,324,972,119,346,369,305,801,477,
350,421,995,702,481,474,266,060,848,981,923,056,456,988,766,218,693,397,288,
571,446,846,137,690,119,215,473,311,235,890,986,172,067,064,005,348,040,904,
719,570,803,939,119,692,322,742,369,048,308,868,555,561,326,384,031,132,125,
569,238,058,201,563,995,035,668,780,946,178,170,753,165,063,893,697,537,383,
856,792,020,243,361,671,363,722,462,919,413,862,850,750,887,062,342,973,937,
122,074,922,894,604,976,735,765,586,022,764,106,796,627,645,760,505,949,249,
697,538,982,212,151,347,896,407,643,610,046,443,429,363,544,096,642,037,903,
685,595,645,574,018,951,072,690,234,175,024,681,346,135,483,240,337,922,297,
162,496,803,855,882,959,635,154,956,606,228,162,284,656,905,693,112,549,500,
298,207,932,661,995,724,407,500,693,415,056,234,953,524,247,309,949,311,992,
236,161,077,317,377,970,495,993,138,478,648,656,507,510,090,080,156,223,552,
060,946,011,309,338,495,686,227,817,959,100,104,394,928,154,683,975,064,290,
395,187,234,809,363,944,864,167,036,642,276,800,457,260,411,374,921,340,492,
419,145,482,249,127,038,610,170,795,305,801,050,290,862,898,358,043,933,726,
576,457,619,806,401,277,751,515,049,577,264,921,055,573,517,343,323,553,460,
043,279,173,902,567,448,064,697,171,872,334,538,274,145,733,893,511,483,528,
128,867,625,439,526,851,728,529,158,823,521,965,517,513,012,258,828,523,431,
242,150,537,821,605,660,997,823,761,862,543,300,321,320,097,582,314,833,782,
882,724,437,517,014,775,359,986,483,187,764,416,841,198,500,912,633,039,416,
471,264,719,675,117,642,866,129,467,885,780,097,341,591,696,330,120,148,791,
479,726,656,283,579,125,749,243,996,059,135,177,447,661,483,015,460,221,309,
153,748,481,463,714,466,620,887,179,696,181,966,499,448,259,868,020,824,283,
132,904,694,861,464,528,844,129,540,579,272,998,024,889,025,821,482,426,641,
516,668,083,250,612,778,240,110,574,318,179,966,288,409,528,911,997,330,138,
932,697,262,707,808,834,027,704,079,311,015,563,776,344,914,402,892,766,454,
887,248,844,566,010,136,788,569,046,514,298,236,052,085,986,132,204,208,863,
885,559,109,643,530,664,349,729,381,305,913,580,838,767,316,779,128,673,181,
559,146,572,732,191,483,017,925,600,705,703,727,722,632,023,694,608,018,417,
536,159,352,852,320,261,464,495,097,907,393,155,968,362,024,544,679,634,799,
072,162,344,728,512,806,047,804,334,018,586,501,350,324,745,283,665,223,383,
491,824,541,480,469,545,844,772,646,207,506,384,818,698,156,450,511,423,564,
208,589,354,189,196,807,615,574,541,921,448,291,591,583,229,422,464,516,091,
620,890,851,916,279,240,353,091,682,778,824,703,521,430,978,945,815,106,860,
218,119,745,347,777,243,709,404,049,703,816,051,041,716,498,538,514,982,756,
625,329,692,320,258,232,762,348,602,441,669,914,544,207,833,850,876,379,597,
118,975,889,111,325,693,988,152,947,266,031,383,959,167,701,545,968,067,353,
813,676,558,012,067,144,738,499,989,863,440,462,288,893,519,701,843,621,417,
541,043,631,335,755,442,419,278,960,365,004,790,964,667,453,337,942,810,813,
302,695,980,800,883,913,313,058,275,657,472,167,211,133,640,605,738,256,440,
127,713,965,122,841,416,983,216,628,909,917,384,285,373,782,126,695,031,915,
038,063,309,471,770,501,859,053,448,345,598,343,913,379,460,986,304,846,549,
550,660,407,920,584,820,084,401,935,740,627,814,536,620,824,228,956,212,839,
343,439,667,342,153,731,532,189,748,538,589,912,140,847,993,018,872,734,960,
029,077,672,043,545,089,566,664,666,058,242,192,259,920,875,285,079,079,339,
967,255,070,154,063,703,238,168,342,168,058,209,376,791,959,469,179,941,455,
762,518,918,045,810,074,384,441,570,702,364,575,021,652,448,975,635,348,814,
664,667,406,066,566,505,176,634,452,546,480,379,644,322,708,786,910,863,842,
624,429,750,553,372,549,596,789,338,624,948,374,101,782,866,915,957,750,460,
268,356,376,305,674,331,507,193,958,506,513,767,697,292,308,461,527,502,784,
139,619,453,506,723,489,326,793,884,504,807,266,295,668,355,669,723,908,389,
902,389,306,728,705,931,962,815,348,641,875,667,250,616,918,601,282,109,186,
098,435,747,656,365,520,356,644,065,771,046,597,534,838,369,394,312,940,394,
463,350,897,908,221,630,794,352,234,026,685,815,648,374,863,697,719,506,217,
638,597,374,297,175,668,334,166,035,284,523,804,168,410,332,500,934,420,579,
930,564,876,924,349,926,764,330,584,761,084,837,027,226,641,422,207,096,117,
125,861,539,735,260,016,299,721,971,471,031,361,611,498,905,357,872,978,491,
523,391,663,949,181,958,801,147,157,596,649,348,652,021,373,893,795,670,251,
122,124,111,692,664,367,412,695,092,547,082,841,816,957,298,548,071,921,512,
021,948,074,919,164,909,551,094,401,271,728,378,726,422,762,496,879,868,210,
445,541,862,944,408,064,312,275,435,509,805,573,370,329,789,368,854,905,110,
422,878,118,347,043,552,813,159,016,005,462,405,880,581,720,623,363,972,970,
948,062,562,268,998,811,211,079,469,656,229,102,740,383,211,985,691,387,096,
680,269,223,562,912,363,777,453,886,874,334,981,688,806,479,720,493,685,311,
900,753,217,096,585,565,120,561,857,759,617,104,076,259,600,413,412,026,102,
468,639,387,651,384,823,081,737,208,736,829,868,874,927,524,703,238,192,485,
300,928,670,377,942,618,259,041,047,069,566,762,407,876,366,856,808,442,638,
342,014,620,264,270,378,536,682,933,436,518,675,360,930,836,258,885,495,689,
818,734,805,008,416,209,415,039,081,929,675,042,043,067,723,782,862,447,323,
545,283,491,840,666,020,072,598,948,745,358,224,373,166,814,717,881,868,342,
528,690,640,538,615,138,639,097,474,717,352,198,567,609,914,391,572,760,966,
968,647,858,485,269,211,858,119,400,202,616,223,090,066,863,132,533,820,746,
954,209,778,225,891,536,141,464,136,545,821,037,968,943,615,498,182,706,599,
738,001,789,177,553,241,532,752,451,476,807,370,071,667,555,185,465,753,954,
739,527,751,284,549,496,288,492,954,706,162,589,661,422,225,835,430,094,597,
134,692,452,533,505,528,513,157,308,655,594,283,959,581,264,198,914,703,495,
543,722,887,612,294,567,577,151,977,237,494,380,689,547,218,300,007,145,595,
109,898,445,134,001,102,466,492,542,586,297,645,811,575,534,729,119,485,254,
240,426,912,128,036,308,043,243,995,679,885,261,048,762,742,625,171,989,276,
415,400,946,585,925,636,190,674,930,881,351,529,093,430,762,899,665,735,471,
872,722,519,353,907,427,953,573,533,783,283,382,435,992,381,069,595,847,219,
881,296,764,603,419,399,081,145,296,769,997,220,761,315,667,062,064,134,332,
412,661,183,499,023,880,029,354,917,512,746,467,140,148,734,353,113,255,738,
000,349,536,285,086,351,304,758,937,690,355,631,320,249,925,375,870,284,173,
716,395,228,223,514,104,073,082,310,336,537,245,451,695,926,300,536,828,245,
266,128,603,802,855,319,987,045,489,694,836,719,590,813,532,560,040,103,806,
272,407,688,183,219,109,071,804,719,876,613,115,610,306,786,593,021,055,982,
630,830,341,723,783,705,443,155,678,858,288,918,165,324,993,033,695,524,026,
704,520,858,121,052,143,422,103,339,070,865,433,582,879,203,632,328,617,786,
985,014,496,921,625,616,084,734,344,726,217,000,016,534,104,889,812,777,710,
997,314,677,942,424,555,811,390,918,540,180,768,501,096,788,064,391,318,012,
831,215,413,061,057,454,267,861,777,273,413,107,249,672,355,470,229,305,189,
214,915,873,391,088,931,363,010,851,994,384,436,616,748,734,307,604,133,438,
047,454,008,208,710,387,981,723,415,683,866,700,028,739,959,671,678,981,549,
829,978,139,904,890,812,798,197,829,336,122,643,181,913,449,628,380,060,387,
223,057,442,696,831,622,083,390,207,160,546,262,268,449,745,078,825,465,640,
563,253,973,366,654,025,895,818,597,730,327,317,376,045,762,978,351,366,249,
939,691,513,300,268,348,719,023,347,152,588,537,625,739,807,117,377,891,523,
391,434,110,296,672,730,676,182,327,744,640,716,392,259,093,157,009,661,920,
360,965,902,596,945,760,737,914,729,835,387,453,462,513,883,256,324,499,218,
904,507,653,609,497,478,191,525,834,399,796,760,853,886,280,973,702,276,816,
352,954,736,704,787,886,423,593,905,487,314,482,820,763,510,120,299,018,468,
385,309,514,531,240,399,237,523,861,494,785,484,878,002,050,677,746,561,629,
484,729,869,693,917,161,223,661,257,122,664,033,998,444,757,017,846,675,149,
919,709,849,086,484,983,525,834,418,399,129,966,400,093,148,799,561,792,144,
023,608,635,767,180,916,026,969,771,856,114,877,019,183,764,593,042,673,697,
626,112,743,616,863,589,503,915,923,740,770,331,004,329,428,523,056,318,367,
470,047,124,271,205,378,986,637,869,486,226,280,744,677,638,133,876,465,259,
515,845,200,609,390,395,589,468,138,698,025,369,043,863,471,447,082,136,293,
024,400,504,603,108,506,214,204,084,543,044,695,801,471,941,810,542,459,249,
816,943,445,152,629,796,288,510,630,470,562,737,512,338,914,119,748,127,016,
076,197,377,793,757,421,771,485,481,058,956,150,478,237,008,289,543,632,992,
582,054,033,405,045,837,177,700,679,990,023,345,277,228,350,143,034,562,293,
596,589,215,215,229,582,149,661,256,433,338,417,955,493,433,361,988,525,345,
907,071,395,280,024,449,911,239,142,790,636,146,560,771,011,304,565,042,615,
956,441,173,747,180,571,833,025,288,130,501,651,878,940,191,228,988,368,964,
099,957,354,087,979,490,518,119,924,393,398,287,209,025,987,120,720,749,568,
485,917,621,152,623,139,035,936,820,636,635,469,181,215,658,580,108,993,036,
131,709,359,827,937,576,426,153,981,208,991,379,434,910,305,018,127,970,457,
518,071,987,007,360,686,230,298,792,307,869,962,999,423,969,422,768,399,223,
928,979,780,238,057,003,301,385,484,653,405,258,781,805,659,638,372,756,607,
821,405,550,796,148,192,164,082,615,775,230,049,204,167,160,277,742,141,491,
457,980,988,273,460,099,878,867,049,896,280,896,925,151,230,054,290,576,955,
662,580,146,738,517,107,428,795,410,489,924,783,321,198,244,150,093,830,452,
875,186,871,378,370,584,817,522,340,206,096,627,329,237,710,402,572,696,495,
917,139,662,602,409,766,710,826,049,119,385,643,935,207,493,957,969,281,699,
088,694,701,961,806,325,402,197,643,988,135,622,456,519,480,281,047,472,669,
305,643,559,907,064,824,391,037,670,417,848,506,432,707,966,337,515,474,945,
343,243,606,944,788,075,948,523,182,094,925,999,252,466,851,481,308,870,527,
157,910,069,248,765,493,823,709,841,824,200,389,249,566,198,610,292,703,244,
821,557,839,242,372,804,932,797,368,530,189,466,755,715,083,990,515,618,283,
969,080,023,315,158,601,320,156,901,846,222,233,494,972,273,862,413,167,818,
501,010,661,048,275,364,394,865,379,828,454,976,741,032,675,025,214,961,675,
156,344,332,776,869,010,537,597,149,981,638,781,243,538,660,109,305,481,567,
822,192,995,432,158,411,929,242,331,271,392,774,731,470,076,163,218,621,124,
142,649,185,530,556,822,314,644,206,601,080,543,164,928,868,733,691,565,778,
093,979,680,358,994,612,027,374,252,034,924,862,912,972,016,214,428,667,870,
438,390,142,253,949,554,990,464,205,120,451,159,866,270,972,643,356,332,482,
264,177,787,532,202,611,911,814,893,334,682,534,777,805,440,879,147,812,591,
523,480,469,378,126,560,887,624,527,854,456,060,044,067,762,551,990,386,993,
617,635,998,571,309,153,195,767,870,053,289,413,954,564,478,483,408,668,901,
543,403,344,488,955,033,415,668,493,627,592,191,710,677,298,810,147,583,599,
362,380,055,534,562,848,494,053,855,553,741,246,418,355,193,727,572,915,108,
894,414,724,796,726,937,673,121,580,588,988,186,790,828,325,221,038,417,128,
849,782,158,208,540,052,327,573,222,333,697,539,646,785,585,622,491,809,575,
345,510,937,375,986,567,977,153,217,598,973,624,608,106,884,878,486,457,634,
669,725,589,218,782,340,076,539,576,975,657,908,358,977,838,591,273,452,084,
429,557,548,211,020,793,279,863,110,371,230,573,689,139,937,099,057,273,592,
602,429,729,585,589,191,592,425,654,889,049,531,009,569,552,003,165,707,419,
874,602,750,681,592,444,811,232,730,171,785,849,791,583,029,148,298,286,353,
508,562,793,523,809,825,150,063,878,408,550,238,508,187,870,372,346,288,599,
647,760,799,148,069,017,936,563,224,539,424,399,761,526,039,620,798,782,908,
336,261,641,731,924,530,155,518,422,440,836,171,141,874,416,964,518,201,511,
398,748,312,252,686,040,714,824,039,710,230,558,703,748,967,939,998,165,036,
350,477,295,409,323,053,852,017,426,622,720,270,821,829,130,638,225,286,474,
950,521,924,679,298,878,445,538,726,230,443,181,839,468,952,518,511,182,147,
347,782,606,411,498,689,191,629,215,957,455,112,028,613,066,541,249,265,716,
110,664,636,534,354,709,833,429,197,683,829,122,672,033,469,419,213,597,442,
683,289,210,897,826,362,176,344,907,868,371,637,924,536,259,353,150,987,361,
035,198,065,432,609,438,688,966,132,069,603,162,950,847,707,253,804,324,317,
899,038,771,722,999,097,332,871,474,061,519,088,966,976,219,525,978,591,419,
388,829,783,901,785,192,376,264,738,950,793,103,318,416,660,046,317,737,007,
281,511,912,695,204,355,705,354,555,179,048,802,704,782,423,327,237,857,293,
501,905,212,867,280,005,627,536,948,341,315,728,829,722,237,555,642,638,411,
109,430,109,833,208,303,635,874,080,618,697,795,919,416,544,562,427,052,475,
910,163,193,243,623,549,769,695,907,737,259,124,511,427,420,946,422,134,850,
321,789,946,549,016,080,301,023,726,085,342,611,271,434,098,651,652,450,309,
295,646,585,071,993,000,751,114,996,964,487,436,825,533,929,528,184,405,913,
877,806,127,324,331,249,379,662,120,615,124,121,567,399,749,512,181,133,524,
312,885,730,943,624,870,351,034,227,828,880,385,865,971,686,527,539,356,292,
640,360,544,576,999,351,157,813,395,547,726,998,761,606,986,188,656,113,421,
615,186,573,325,614,602,337,724,872,708,835,354,227,333,524,606,272,529,680,
556,510,463,409,834,426,397,619,422,125,353,493,114,646,625,540,296,922,644,
305,212,349,798,355,868,443,568,602,236,795,455,833,266,442,630,235,120,687,
357,754,624,510,196,631,736,518,611,093,385,038,191,588,616,680,720,883,752,
590,016,152,255,862,675,391,924,767,540,722,580,443,889,000,386,897,350,011,
186,261,634,095,679,173,066,745,481,310,685,566,269,559,266,952,653,335,275,
273,416,493,027,722,875,907,935,242,473,544,572,206,526,870,008,037,956,775,
221,490,645,160,681,042,293,971,382,771,099,966,823,870,289,646,757,189,272,
071,838,528,758,043,704,462,607,569,759,755,295,726,794,547,866,666,486,629,
284,199,047,789,379,892,160,845,716,993,494,939,510,716,206,173,183,222,519,
166,469,398,751,135,048,387,908,378,795,166,934,035,337,836,272,177,781,072,
023,453,940,642,478,790,321,881,696,708,445,649,391,661,411,413,436,878,077,
475,702,808,668,188,731,573,718,892,301,896,881,119,298,622,909,467,258,420,
736,289,730,314,308,046,786,623,733,029,662,324,428,865,691,257,280,783,711,
209,221,312,491,430,899,145,982,815,003,917,769,630,861,445,540,046,431,904,
095,930,865,087,934,474,576,350,620,645,423,009,959,581,357,941,660,399,532,
742,466,072,130,147,145,043,703,415,603,462,912,528,092,512,804,859,567,559,
872,607,941,114,524,847,096,290,731,707,607,062,036,264,077,811,589,416,707,
329,040,959,393,098,262,684,160,913,505,029,571,878,082,568,755,390,236,424,
581,100,295,643,873,856,347,002,243,617,114,133,455,918,740,635,659,522,837,
125,220,902,773,847,546,110,338,553,875,260,424,312,690,969,861,628,968,254,
275,247,148,010,684,096,323,009,758,227,466,197,748,909,306,404,048,700,216,
066,521,345,750,641,330,426,507,553,085,221,569,895,101,980,028,433,235,037,
554,606,432,106,211,393,064,608,156,459,628,021,215,643,429,586,209,194,089,
414,744,047,541,898,887,948,392,924,847,864,043,782,511,261,380,946,762,019,
594,315,743,212,055,651,151,359,538,653,905,540,311,863,989,362,453,854,835,
142,173,785,418,766,808,488,585,669,978,019,345,761,725,812,943,964,490,266,
359,932,221,314,689,188,259,036,647,636,641,629,232,854,184,255,763,591,469,
129,164,447,566,979,830,471,605,811,985,338,834,622,200,310,783,686,222,229,
566,570,231,194,259,024,222,711,762,718,328,224,325,647,823,813,175,368,514,
763,592,785,143,839,607,669,392,259,542,994,929,127,137,948,531,387,258,313,
412,464,508,754,142,844,682,327,008,186,672,043,049,585,438,674,283,577,793,
779,363,491,825,816,368,984,796,421,440,879,973,316,354,052,898,838,782,226,
644,965,082,494,575,236,206,560,598,020,814,867,466,989,970,353,075,597,216,
194,337,315,871,517,371,824,155,529,665,454,207,004,835,720,229,975,494,785,
361,453,237,419,489,571,469,181,418,171,333,252,310,191,444,087,616,298,739,
982,869,268,591,069,817,804,878,816,778,160,575,193,377,592,184,583,899,887,
490,971,526,721,882,296,434,003,565,423,939,826,253,419,500,976,205,412,554,
057,983,881,760,919,883,626,014,410,039,421,828,512,739,927,522,843,979,141,
232,824,022,958,952,886,714,244,702,337,469,864,010,494,077,458,763,894,088,
809,041,617,988,014,123,559,446,579,261,490,711,502,746,320,443,666,313,959,
541,010,880,935,761,901,390,385,058,601,953,723,682,559,257,364,186,990,665,
529,422,503,919,206,139,560,050,805,656,623,527,959,304,691,140,895,175,989,
589,778,507,304,958,440,756,298,899,431,827,515,008,912,369,626,377,104,037,
584,944,161,996,450,637,417,206,604,011,363,020,025,216,646,353,122,963,508,
054,533,734,410,055,804,477,369,051,706,087,797,995,564,604,243,355,520,803,
833,192,776,807,849,057,482,367,559,594,711,011,397,310,658,536,846,276,359,
255,586,308,500,484,790,024,744,513,477,675,157,318,139,632,697,487,076,010,
043,859,077,021,311,658,750,871,447,674,818,142,513,304,001,689,664,046,244,
748,912,926,138,468,388,394,222,647,076,110,044,921,918,769,501,431,660,857,
702,609,340,805,521,811,516,353,960,907,131,998,742,782,595,041,796,614,835,
309,814,346,114,373,618,708,410,343,503,843,697,970,327,595,206,427,050,789,
028,623,672,977,206,619,387,600,565,102,752,614,337,607,865,203,217,277,162,
386,797,154,951,408,769,260,876,324,680,295,088,775,000,550,799,972,797,695,
641,681,107,132,957,913,892,070,203,157,176,799,794,735,774,616,351,958,011,
013,541,924,603,514,686,027,825,903,931,782,305,638,020,431,361,404,884,490,
890,863,382,165,128,284,605,913,680,945,531,743,433,030,115,094,048,663,948,
680,886,813,715,503,707,061,960,903,000,392,119,099,833,542,425,366,065,679,
004,862,991,479,663,081,022,843,403,982,637,753,190,871,867,926,821,419,514,
661,855,208,540,331,874,856,048,795,633,793,665,657,890,487,982,694,758,243,
258,991,866,506,862,115,160,717,493,118,562,464,187,119,301,843,311,034,046,
908,124,186,203,779,728,253,015,260,594,627,739,381,819,011,428,081,651,576,
488,106,108,081,473,835,100,473,576,285,423,339,763,307,965,238,257,063,889,
972,437,494,389,947,400,155,145,723,924,137,324,378,060,370,960,269,073,469,
615,468,898,922,737,284,757,560,583,352,177,958,426,242,891,818,465,338,521,
436,944,597,509,668,326,618,068,916,903,828,802,847,738,065,250,872,875,920,
629,479,516,706,281,125,435,638,113,311,534,354,662,170,070,677,691,441,610,
497,341,120,087,941,313,389,013,745,382,416,180,462,747,387,863,971,264,565,
651,349,851,149,256,605,687,643,998,841,869,172,883,949,565,631,521,993,977,
078,503,810,330,117,031,166,966,820,094,618,808,313,984,718,001,189,581,569,
019,800,587,161,405,632,404,930,488,110,436,553,047,257,816,363,440,100,415,
317,580,196,727,506,279,586,904,307,471,935,273,231,140,626,893,537,966,968,
818,693,955,505,006,398,688,541,060,087,619,948,890,055,211,729,170,965,700,
954,285,217,780,384,077,211,022,539,772,755,209,723,966,850,359,300,796,452,
576,864,226,395,613,317,060,004,097,585,336,548,932,415,563,388,727,090,445,
028,146,105,979,765,663,666,830,773,465,958,721,155,673,921,605,308,981,667,
611,554,940,055,031,973,513,811,432,595,982,066,186,690,674,697,056,377,795,
121,938,153,221,606,821,598,251,471,410,322,021,244,005,483,354,836,375,494,
605,994,395,838,964,620,699,026,347,833,567,406,117,065,058,452,266,139,628,
829,781,756,741,574,304,030,861,441,596,189,628,803,180,401,882,642,300,373,
511,306,498,204,718,362,884,721,057,620,491,137,792,628,648,120,244,960,834,
461,383,644,420,052,411,076,419,428,830,558,837,014,638,503,614,772,343,280,
939,304,240,621,987,351,176,011,954,022,704,993,177,709,850,679,759,817,401,
007,171,561,257,773,368,142,278,499,172,397,661,473,140,352,886,082,209,082,
291,153,729,150,541,081,444,335,362,470,974,733,017,723,998,210,674,212,842,
608,358,171,171,575,032,857,427,573,799,479,457,040,847,452,356,492,981,735,
629,964,488,739,139,045,048,300,363,039,557,570,387,032,439,833,738,393,906,
832,414,490,229,900,247,525,555,720,473,929,636,373,444,590,761,611,031,267,
062,226,651,980,384,464,194,920,815,930,719,911,561,287,549,052,763,183,055,
983,751,547,581,325,833,731,966,169,823,679,514,616,386,705,574,057,151,585,
027,002,452,975,257,575,093,889,338,885,231,277,975,678,198,464,887,103,243,
038,567,798,659,165,261,343,844,269,564,197,190,663,807,189,539,917,486,094,
215,655,067,261,217,348,069,776,879,733,690,385,896,261,516,768,998,119,860,
190,770,414,382,544,327,834,529,980,199,003,194,669,816,383,585,866,577,717,
704,225,068,996,779,678,452,690,416,020,889,572,243,471,420,398,394,187,316,
281,063,584,242,589,654,775,429,032,145,874,773,837,725,999,064,007,566,123,
683,049,463,549,779,318,650,147,241,394,928,697,793,869,197,337,640,466,576,
057,976,193,239,132,229,620,494,810,078,120,646,249,512,710,598,998,230,724,
415,016,263,390,796,885,607,651,504,716,251,335,405,485,118,715,707,973,803,
416,385,870,065,992,722,179,247,397,576,105,468,111,289,338,139,477,141,195,
079,154,251,300,496,154,869,583,611,693,980,205,609,536,903,621,296,546,614,
437,157,885,620,430,415,754,374,424,565,529,398,074,102,146,330,249,805,293,
636,581,776,504,176,254,018,676,279,352,941,792,383,130,940,666,796,079,488,
344,149,362,833,365,873,851,804,673,759,264,164,816,826,053,793,952,998,353,
089,717,374,123,452,707,348,208,193,241,537,679,008,002,804,248,557,978,261,
393,248,120,238,728,843,758,790,265,561,813,816,093,422,618,076,588,721,123,
237,170,301,604,056,979,301,303,116,956,095,586,198,219,932,634,907,607,670,
886,605,327,028,151,788,175,429,278,781,727,426,800,665,686,370,511,889,533,
634,089,812,524,180,977,883,462,749,721,989,663,197,328,624,277,285,563,415,
703,938,574,396,976,011,213,258,396,569,403,904,482,361,731,750,035,369,676,
503,593,041,386,431,749,575,615,232,059,305,005,147,790,930,700,231,662,739,
269,006,070,751,482,362,658,754,653,393,048,479,511,559,647,159,032,331,386,
510,697,529,314,665,750,719,168,430,381,411,156,054,419,085,550,197,961,275,
010,975,889,518,025,125,415,728,183,188,163,298,225,843,096,342,070,943,537,
139,877,116,886,696,532,866,207,617,054,491,549,062,075,023,942,264,526,031,
326,408,893,886,376,355,194,403,882,671,924,385,734,304,475,447,177,128,471,
283,760,697,076,321,088,395,047,362,431,445,644,984,668,596,558,114,870,258,
475,029,373,866,969,275,595,739,227,136,807,822,635,999,643,520,773,103,982,
664,106,432,434,592,877,048,345,870,997,567,537,221,175,675,772,725,928,734,
048,722,848,295,660,546,633,808,931,368,305,680,209,467,278,496,352,540,609,
991,772,062,794,100,254,457,832,447,178,613,846,531,765,870,510,208,892,800,
675,009,074,588,765,614,855,274,880,654,802,907,771,764,441,654,222,893,495,
952,601,779,156,314,705,503,394,731,826,996,775,900,458,002,157,189,621,928,
041,233,368,028,106,206,798,447,061,035,155,041,630,023,489,778,518,472,504,
446,806,240,691,262,456,783,215,279,659,828,819,563,284,055,533,840,017,440,
429,137,103,818,965,317,767,207,528,376,413,310,735,977,206,905,321,608,080,
772,702,589,209,540,310,922,209,826,180,726,685,967,024,581,251,094,480,404,
155,326,892,356,036,935,896,178,444,479,413,878,215,102,161,555,491,731,608,
857,398,861,226,760,212,278,262,640,456,663,428,979,386,043,538,351,146,333,
900,857,514,140,606,353,616,976,468,412,943,564,917,007,917,230,605,858,357,
115,445,448,119,001,273,834,900,516,700,669,217,859,643,102,501,718,193,137,
135,607,587,229,483,394,027,749,359,633,239,767,607,142,048,295,232,266,270,
331,627,746,433,916,334,013,544,990,070,548,632,117,457,423,227,385,926,575,
488,563,706,610,141,994,488,903,608,895,283,256,568,014,313,770,998,376,165,
173,850,012,661,467,708,339,608,741,718,397,912,883,943,581,612,291,970,847,
024,242,385,051,802,465,514,867,920,172,792,097,697,055,937,933,034,828,087,
932,710,298,643,273,405,777,576,505,288,990,073,067,529,713,313,018,530,029,
270,481,309,982,288,552,671,082,835,435,316,423,562,482,644,830,318,207,988,
793,057,918,478,035,012,347,846,361,556,428,598,800,591,123,042,830,885,409,
856,568,027,012,259,094,755,294,692,636,947,635,584,092,134,687,323,037,203,
833,332,985,171,381,140,417,025,964,540,739,282,559,385,616,649,429,676,781,
222,001,629,861,573,510,360,289,505,275,057,766,589,423,323,452,818,651,001,
192,832,225,014,029,038,431,096,720,084,108,727,975,895,765,696,723,855,597,
236,692,160,426,681,636,101,030,870,107,347,683,184,992,417,998,391,078,439,
274,357,699,040,586,635,637,663,477,722,668,442,360,103,941,160,271,385,282,
630,441,720,304,311,352,534,749,945,491,868,118,598,058,025,811,892,578,236,
839,181,295,701,373,114,138,444,598,069,062,249,494,414,270,028,752,802,523,
622,148,971,648,892,176,107,461,996,995,623,931,428,501,520,695,964,490,889,
913,254,327,232,363,167,885,282,765,558,939,751,413,588,362,991,198,516,415,
537,888,043,285,375,384,567,506,939,186,192,117,426,556,179,148,432,073,709,
736,290,532,782,956,089,067,115,417,062,728,608,641,054,255,137,941,994,717,
295,697,238,926,008,319,066,691,620,931,617,391,923,659,996,063,449,033,115,
731,389,582,744,208,681,765,524,913,747,390,262,718,857,149,198,384,657,241,
562,328,072,774,449,262,710,510,904,825,441,947,349,980,319,480,088,399,305,
467,016,009,253,339,543,523,618,628,326,360,368,752,947,797,552,961,559,204,
132,646,148,266,298,915,135,974,160,274,985,287,302,820,016,039,967,909,569,
944,157,089,104,211,536,534,442,509,920,755,993,040,553,460,213,356,835,848,
972,386,145,011,858,376,107,710,188,734,843,202,556,727,401,303,415,099,002,
563,652,796,347,522,835,401,876,946,143,555,109,987,370,911,278,456,674,407,
523,116,681,998,677,756,586,270,822,254,496,399,300,700,181,866,150,976,787,
286,099,381,206,069,491,151,540,079,115,734,238,626,231,375,733,623,815,476,
405,618,692,894,068,243,290,686,987,001,092,097,449,409,326,092,352,585,250,
572,374,335,158,107,486,144,407,028,861,764,808,880,402,766,855,591,715,622,
416,404,955,293,968,190,950,174,301,742,424,630,251,176,177,450,110,828,708,
270,973,208,721,977,642,877,008,373,234,626,876,088,447,716,603,205,442,194,
394,437,390,685,329,056,543,569,940,116,608,222,946,894,168,492,353,311,054,
641,568,421,042,700,677,176,537,828,518,470,323,181,550,394,832,566,819,998,
638,742,429,031,256,476,266,944,883,005,243,382,511,776,805,755,540,232,957,
737,355,737,443,292,626,926,122,555,353,121,789,694,635,235,237,436,841,083,
415,076,592,694,516,105,658,381,431,828,052,777,889,307,461,182,502,209,101,
345,530,640,769,539,530,362,248,190,254,901,850,303,255,537,749,633,020,877,
263,626,998,066,742,608,871,642,288,526,562,227,779,366,718,971,089,597,613,
710,979,900,934,122,058,968,614,536,643,694,429,145,040,190,380,028,168,020,
563,450,673,088,008,538,668,473,809,136,724,120,670,400,704,373,094,648,839,
333,770,141,318,234,517,616,088,654,008,610,673,708,486,975,635,270,786,607,
719,565,062,273,037,207,081,790,469,542,861,300,283,810,732,938,930,710,388,
432,373,562,964,713,566,186,599,905,532,434,315,328,069,104,138,050,014,621,
488,729,152,842,387,497,346,792,339,916,139,299,390,971,273,910,226,369,911,
753,288,061,293,792,405,143,174,967,327,231,848,704,043,335,105,390,167,616,
435,528,258,896,766,351,155,088,383,963,311,590,647,375,677,854,945,158,682,
175,920,029,437,642,239,397,209,071,170,462,926,632,655,023,380,867,883,414,
673,346,348,999,693,503,936,510,174,869,103,241,356,790,695,868,195,483,055,
003,922,515,258,499,694,109,006,852,505,467,779,567,881,336,182,262,372,287,
402,061,441,661,447,563,348,813,905,357,386,720,346,700,678,544,337,349,237,
635,012,303,626,663,670,110,644,217,036,020,346,338,848,425,339,308,974,736,
847,533,147,599,475,936,324,949,273,330,495,396,626,122,527,511,126,920,930,
078,657,618,922,750,645,914,138,815,084,159,287,346,897,458,513,968,828,952,
849,249,615,473,998,046,079,338,560,949,582,618,123,105,777,201,805,781,371,
000,111,886,569,026,249,060,941,303,065,848,215,864,687,826,772,279,041,612,
925,705,635,522,105,753,763,204,776,931,535,169,540,523,509,308,694,023,374,
004,674,702,324,458,346,109,968,455,445,132,188,597,355,511,810,437,787,683,
251,206,322,187,458,274,709,017,874,529,618,188,824,842,457,564,300,058,674,
997,441,272,189,121,296,264,617,045,825,322,466,897,086,363,984,312,051,931,
979,971,848,443,313,263,091,222,493,372,764,261,174,018,250,944,256,448,680,
020,695,251,906,729,698,613,971,893,351,681,053,161,036,302,708,824,665,464,
527,796,028,804,185,144,351,668,456,392,429,088,367,889,372,981,307,189,447,
669,466,386,797,856,826,345,983,931,915,445,099,854,508,169,965,294,728,860,
936,618,974,673,835,532,269,797,987,190,053,978,089,508,370,739,949,576,000,
614,066,546,354,757,591,666,272,475,873,084,116,852,574,390,146,070,986,894,
213,986,754,637,635,514,232,090,793,592,046,945,589,688,232,324,597,068,558,
345,747,951,292,703,597,311,253,493,142,479,322,199,346,552,760,658,283,121,
717,646,608,420,673,423,964,061,042,851,572,472,118,581,312,931,801,003,379,
411,166,464,994,022,688,587,974,998,617,612,573,087,842,441,338,790,886,396,
578,056,448,918,245,343,408,997,077,679,697,142,898,721,491,701,413,027,096,
923,885,872,813,623,390,310,068,590,483,147,646,833,139,511,717,127,516,291,
012,937,183,461,013,633,493,636,835,477,347,541,186,744,325,180,613,863,642,
565,279,178,566,167,251,054,579,435,419,724,359,783,031,376,442,466,091,920,
622,253,456,179,975,853,615,117,042,926,414,139,901,460,017,213,602,960,803,
562,875,386,639,317,250,935,226,084,211,727,218,974,391,230,035,882,325,916,
352,930,097,156,702,465,358,484,923,351,069,058,586,291,102,722,134,865,790,
422,433,769,822,550,331,620,746,598,666,558,207,748,149,300,710,077,595,272,
713,054,370,266,106,234,991,712,604,410,403,168,065,059,535,974,743,601,090,
743,090,629,853,481,817,216,827,340,127,352,964,790,991,672,774,033,766,227,
395,647,547,769,017,795,531,260,571,321,657,656,625,404,999,824,451,706,098,
330,849,356,553,288,606,703,811,722,748,515,695,299,121,525,334,666,334,604,
191,199,898,876,771,612,153,933,977,526,198,089,916,318,586,564,952,543,975,
977,705,352,139,254,535,145,511,244,184,384,213,564,990,131,155,571,364,311,
743,147,910,374,113,382,067,311,035,954,521,817,624,545,108,215,150,812,071,
203,986,460,201,673,382,213,162,893,246,491,712,984,691,984,454,905,839,914,
967,067,243,232,440,175,359,020,077,083,176,992,195,518,235,599,719,462,511,
516,021,165,350,984,608,896,024,002,511,779,453,454,453,080,774,957,854,570,
028,011,976,048,981,949,464,956,362,087,220,582,385,148,077,002,756,264,823,
747,095,082,627,606,321,423,112,953,433,988,541,813,768,415,674,639,845,649,
455,573,457,069,206,799,557,693,030,501,906,000,260,301,845,946,619,607,153,
207,361,070,207,092,788,528,959,608,947,260,578,177,996,003,871,710,767,721,
197,985,187,283,119,963,801,684,273,749,695,466,252,253,289,407,611,882,543,
370,073,885,970,190,375,970,459,519,168,640,460,797,543,142,634,560,952,079,
505,932,566,743,831,000,307,336,268,166,217,250,754,785,526,430,932,560,895,
673,087,238,739,850,849,096,189,722,480,398,099,739,586,161,751,293,394,005,
867,176,479,454,382,118,986,081,873,668,756,364,504,528,665,514,294,800,252,
134,215,095,780,443,850,677,613,240,992,608,211,391,268,460,208,396,300,798,
234,448,777,395,888,962,697,639,680,293,070,356,344,678,282,745,402,070,618,
626,395,527,846,453,987,504,970,018,013,958,772,194,857,186,533,506,062,245,
930,949,584,906,432,854,746,316,043,776,244,358,945,565,796,363,289,332,039,
064,605,863,162,110,114,690,957,795,898,578,150,259,450,818,787,486,572,631,
853,187,438,509,491,069,487,208,786,756,296,910,966,705,013,423,484,676,830,
058,555,155,736,604,037,438,597,319,665,325,520,599,749,643,896,678,510,632,
168,171,028,081,897,312,521,649,164,989,744,494,908,739,994,303,185,617,537,
170,594,817,529,967,840,906,355,974,763,472,396,702,500,207,648,572,675,450,
666,910,250,978,878,085,002,004,684,282,967,112,427,703,590,470,004,314,921,
838,410,828,257,899,551,723,033,349,980,296,240,677,505,480,945,276,733,842,
049,235,650,341,120,940,057,967,952,645,627,313,281,688,446,194,451,618,842,
196,912,663,347,168,194,333,978,738,335,553,610,076,938,089,967,138,820,699,
424,339,267,969,144,373,411,569,731,041,268,022,426,191,177,343,030,430,638,
420,085,867,414,290,024,163,232,615,850,231,843,758,223,624,550,268,334,437,
653,856,611,331,543,047,701,022,045,630,633,132,064,056,767,015,412,532,676,
595,561,544,563,218,009,936,777,764,609,667,016,682,132,539,096,341,184,328,
888,819,443,803,354,559,459,960,559,723,713,220,064,832,615,626,255,962,381,
267,543,019,427,373,583,264,145,526,040,480,203,822,094,485,152,888,724,757,
874,735,179,025,810,172,581,471,691,271,320,226,479,579,070,658,528,910,082,
209,499,031,208,096,361,241,849,254,511,679,106,679,354,748,254,729,920,987,
114,978,568,746,961,548,201,416,239,896,870,770,624,031,115,661,886,989,562,
411,228,445,576,055,727,803,114,094,704,500,066,405,407,374,882,355,779,542,
864,684,344,438,127,045,014,746,686,287,710,406,116,726,532,348,759,542,118,
766,551,068,892,714,465,331,563,166,905,780,103,335,536,982,752,303,324,382,
591,799,828,060,372,130,947,801,416,065,351,740,772,017,352,141,987,874,030,
977,848,757,406,817,330,311,032,425,605,137,304,102,318,550,543,978,737,571,
126,408,903,429,366,364,074,906,912,891,985,542,387,041,255,782,804,570,150,
949,638,164,538,888,832,237,346,491,119,099,891,034,464,831,644,228,965,802,
221,769,020,999,952,020,643,405,192,195,359,639,628,848,698,384,171,580,927,
291,195,150,967,481,170,162,929,866,308,930,969,298,131,993,047,032,191,601,
233,244,265,905,154,329,237,490,837,651,210,274,277,516,393,249,386,019,303,
527,393,204,550,845,902,970,116,133,615,957,126,412,084,534,618,145,440,637,
004,675,077,262,600,944,441,098,365,937,273,327,490,511,269,962,056,806,263,
534,176,287,148,791,665,404,417,068,320,898,563,510,601,355,231,261,565,613,
293,912,938,948,913,353,785,966,626,289,190,543,541,766,168,222,927,598,909,
017,021,280,543,559,507,306,629,165,174,241,949,667,880,215,757,731,427,953,
229,140,814,598,205,433,793,537,830,988,371,729,121,929,054,193,056,822,065,
066,379,072,862,065,583,351,422,355,569,846,093,365,639,146,167,205,147,977,
322,408,762,984,956,428,885,153,147,836,785,092,083,699,300,242,448,465,567,
422,131,616,613,635,919,819,442,641,831,433,953,010,741,510,244,573,286,248,
162,779,826,019,377,198,678,817,071,256,293,048,189,767,166,648,325,382,232,
122,413,963,839,384,848,796,282,101,696,592,019,638,147,939,306,442,932,587,
054,074,794,698,922,464,244,292,463,381,688,986,539,542,174,927,044,613,168,
089,029,180,677,609,184,391,126,335,709,711,261,081,281,841,540,135,676,928,
776,394,164,463,276,559,652,943,787,525,096,454,286,456,857,526,300,351,961,
688,047,484,616,218,745,071,939,638,875,856,808,256,224,806,507,845,779,591,
482,208,289,291,595,959,732,267,628,835,476,093,438,776,547,280,919,477,594,
940,535,351,577,411,392,325,151,287,390,031,626,105,816,766,981,016,827,653,
753,092,324,088,270,878,551,398,028,752,653,963,989,558,903,205,890,506,790,
971,920,979,009,392,421,914,831,088,471,991,572,495,033,482,645,488,152,172,
767,068,590,764,025,740,000,926,868,971,246,360,349,790,779,166,158,086,590,
643,864,495,994,959,646,859,645,202,250,821,688,245,210,664,997,469,441,020,
500,358,100,923,295,467,092,695,118,291,626,928,142,281,618,130,046,420,393,
043,495,899,131,407,431,063,786,152,082,618,337,276,817,189,415,258,768,658,
155,093,101,038,007,666,918,644,222,109,691,798,567,606,858,725,582,959,322,
364,387,064,175,834,173,732,330,855,392,014,572,957,085,399,830,850,797,287,
967,243,118,333,565,231,313,896,488,448,702,107,526,937,074,474,587,935,443,
024,145,679,182,924,478,839,704,955,162,489,844,231,397,490,624,008,475,187,
780,281,562,953,103,685,866,224,366,168,524,105,982,153,619,420,303,459,768,
285,921,731,508,611,826,054,802,493,008,140,761,010,542,180,308,390,445,498,
704,493,122,791,429,673,383,098,482,975,465,423,034,847,801,481,198,307,383,
749,700,232,095,489,305,544,767,058,031,867,857,017,929,984,790,833,619,008,
977,415,618,881,425,319,753,005,695,601,614,776,824,739,832,192,032,332,888,
279,200,407,147,019,499,900,772,108,862,787,091,997,590,565,070,280,926,643,
483,677,486,141,740,528,121,300,867,094,359,801,383,509,874,022,924,933,931,
007,184,594,590,804,979,923,708,396,153,687,651,867,979,175,570,523,292,978,
703,265,387,038,568,874,050,737,106,887,258,972,838,864,414,100,045,648,736,
953,314,571,749,813,989,957,985,779,063,360,658,083,511,955,693,570,593,548,
852,974,450,336,480,053,800,256,437,714,555,907,013,379,165,061,747,808,999,
025,593,021,707,486,769,177,017,565,516,757,695,845,111,107,242,005,279,092,
312,556,098,318,867,168,289,864,886,887,618,951,072,295,788,839,802,925,813,
070,492,952,252,235,137,482,143,935,905,317,762,534,229,434,657,758,998,345,
736,716,775,989,703,314,230,078,704,343,925,413,982,401,534,624,616,311,519,
533,462,452,672,088,506,724,438,879,922,992,341,799,408,930,818,592,633,415,
972,717,205,820,336,516,126,315,942,925,695,128,401,236,268,058,884,643,042,
304,671,807,760,601,993,608,295,278,790,635,596,813,295,183,510,615,299,245,
899,556,371,942,613,819,557,225,470,686,909,127,539,445,306,800,368,598,394,
697,364,472,520,269,463,100,359,706,051,616,063,520,066,965,438,404,719,295,
401,148,717,258,124,318,187,908,696,117,747,033,567,180,656,648,639,195,459,
731,367,271,254,214,354,708,674,998,472,004,955,722,879,185,532,425,811,533,
792,473,675,480,834,954,398,860,021,871,438,811,582,237,992,582,094,708,438,
817,822,434,404,263,538,264,662,017,118,350,012,218,701,405,391,935,677,114,
949,955,325,102,047,675,031,006,833,038,822,138,736,444,119,973,655,451,821,
372,484,576,619,683,062,046,503,600,524,893,962,476,706,301,726,681,126,198,
139,252,620,141,524,460,853,311,083,686,731,604,276,596,518,865,444,484,167,
026,491,414,337,831,131,224,375,190,559,284,825,349,539,822,097,702,505,045,
627,098,375,219,104,222,933,784,690,772,943,915,277,839,824,029,771,064,815,
577,970,173,904,811,185,876,864,005,811,231,899,485,488,251,147,480,446,939,
197,502,100,879,628,952,304,673,385,683,529,506,406,598,771,038,069,239,757,
816,940,468,971,894,940,708,554,097,876,871,535,817,101,673,178,993,613,999,
427,694,724,841,063,125,290,605,609,175,834,417,463,247,907,899,451,588,864,
637,257,196,111,239,508,527,540,866,943,071,210,330,233,187,821,832,336,400,
727,048,446,924,365,155,907,062,647,992,680,750,349,918,456,834,352,752,502,
929,707,114,126,673,809,720,035,476,288,399,071,517,318,209,964,216,546,683,
555,081,457,429,570,240,416,563,418,867,024,871,864,873,147,056,300,814,691,
887,091,482,043,625,612,200,435,307,229,787,762,619,789,753,968,913,011,505,
591,481,864,679,497,984,394,049,624,084,011,946,464,725,233,631,507,141,348,
940,337,997,350,749,184,972,906,010,349,697,349,658,639,709,378,087,846,830,
849,090,201,857,191,854,830,575,130,705,201,715,922,656,457,799,480,750,813,
106,643,218,959,182,833,814,829,050,180,146,575,529,585,664,485,108,399,470,
633,841,330,035,432,707,574,401,611,960,037,901,744,649,740,421,958,491,594,
893,475,047,604,069,277,047,006,899,406,872,577,238,416,535,651,325,960,002,
790,963,078,902,035,622,666,798,778,058,761,280,154,985,289,698,478,121,458,
041,130,875,197,421,643,949,314,339,800,219,262,786,313,848,924,360,760,523,
747,847,379,005,631,685,306,061,063,680,713,504,489,054,473,902,929,839,739,
171,347,742,214,198,594,594,002,765,599,047,722,021,693,058,125,930,809,603,
587,224,507,614,165,832,792,490,633,438,601,251,774,595,177,311,993,849,892,
833,725,601,806,445,400,154,789,023,441,358,475,649,653,655,319,690,948,112,
070,251,009,983,555,744,562,478,771,556,110,736,504,111,822,827,791,888,171,
933,702,944,035,818,345,981,024,771,630,978,003,826,926,377,695,246,526,704,
815,678,969,237,440,049,557,553,594,634,079,921,793,819,239,612,581,558,027,
909,372,739,070,494,356,005,242,139,567,692,891,381,359,351,269,316,299,536,
805,618,698,900,109,906,878,195,991,871,258,205,852,105,102,019,721,700,894,
120,352,111,233,880,689,254,163,302,120,594,013,545,890,396,820,213,326,051,
007,843,414,921,099,142,601,061,788,752,737,869,458,537,607,674,408,708,160,
118,392,625,858,982,713,879,448,419,624,881,726,071,010,020,783,773,898,434,
055,831,099,258,735,468,074,147,918,199,834,779,909,252,758,379,163,392,925,
127,169,862,270,191,181,489,212,646,751,342,917,554,302,003,387,271,543,538,
978,800,223,736,332,793,235,096,869,615,454,895,510,474,317,864,404,757,993,
630,815,191,180,419,492,806,716,926,426,384,958,253,972,013,409,191,059,453,
487,740,105,871,909,931,190,538,716,816,523,506,200,190,321,304,555,132,863,
486,653,276,021,809,114,589,211,383,162,618,315,954,437,657,244,488,155,646,
632,628,893,159,039,406,850,722,570,303,305,791,371,989,834,355,112,725,884,
297,059,287,343,180,277,321,186,008,611,586,132,870,730,674,043,538,467,447,
090,863,548,348,595,196,964,133,676,334,697,247,844,980,700,519,922,016,074,
134,124,386,421,940,284,169,735,073,920,902,815,476,286,060,187,120,961,397,
959,534,302,173,428,380,093,399,082,893,495,186,450,955,616,176,131,391,764,
724,691,622,382,466,265,080,691,362,584,986,723,256,063,023,687,005,290,076,
603,462,916,381,463,053,296,074,939,022,545,824,575,891,061,454,092,016,589,
870,456,499,131,045,432,767,019,632,589,283,345,687,106,506,538,201,736,970,
307,416,502,717,028,880,457,248,440,724,979,157,000,499,330,497,647,007,790,
630,974,305,590,585,231,309,818,172,402,463,791,455,093,440,563,804,092,067,
604,317,362,132,903,861,310,165,313,416,197,513,460,840,334,117,256,122,449,
230,106,689,083,671,646,899,451,794,569,803,968,647,993,117,451,257,936,306,
174,884,048,526,048,614,366,307,587,677,271,371,009,387,818,847,187,059,666,
682,039,872,562,939,643,035,228,817,317,214,018,261,756,921,706,914,196,599,
479,414,817,521,741,111,839,983,064,442,458,502,996,649,145,851,463,822,843,
942,458,746,742,122,307,773,285,226,989,544,632,732,015,729,517,836,067,643,
201,990,079,513,674,157,073,595,163,254,492,951,115,687,248,921,291,298,942,
886,834,687,581,120,011,896,680,295,822,499,725,190,548,241,457,173,186,572,
071,038,196,426,594,113,523,882,548,630,683,907,295,273,860,670,676,099,296,
376,569,137,352,806,768,281,159,917,942,456,477,245,549,496,269,372,942,880,
473,125,710,057,479,763,695,681,131,456,847,281,918,010,881,162,231,019,951,
691,485,352,095,439,406,450,995,389,584,911,183,607,403,026,916,665,895,814,
299,075,018,073,053,088,804,600,805,533,005,573,511,858,943,072,101,438,221,
903,841,205,776,387,709,539,372,645,024,731,483,284,998,591,602,776,391,667,
470,275,225,036,268,871,874,246,569,195,073,014,731,564,850,634,952,163,650,
350,795,992,622,334,131,034,689,450,126,734,643,655,733,548,379,661,390,480,
041,423,604,667,512,853,220,584,761,894,710,912,294,601,816,106,666,538,976,
619,136,846,687,553,605,079,979,926,242,569,836,083,336,065,412,208,295,845,
198,140,781,859,581,810,942,195,126,768,378,181,359,528,237,342,774,064,063,
339,649,766,937,086,269,076,607,941,882,178,746,430,923,401,867,710,217,136,
863,228,701,002,976,591,817,930,974,341,475,547,260,215,661,283,148,229,903,
661,990,740,087,389,013,134,278,325,406,872,957,755,513,642,776,356,397,249,
628,335,778,108,880,671,262,383,776,346,337,680,517,897,084,897,460,246,296,
392,855,463,017,960,320,785,734,226,866,540,373,112,277,225,548,628,503,232,
460,008,305,475,281,327,278,512,977,160,644,100,810,400,953,119,082,650,935,
971,202,015,448,118,305,925,693,423,455,731,279,644,164,506,577,142,288,155,
662,862,562,211,711,709,387,913,956,259,444,912,053,058,304,576,673,985,819,
774,021,862,571,551,242,937,754,157,001,176,813,812,519,024,399,442,829,704,
862,525,014,798,792,479,588,142,778,391,187,267,767,010,420,392,023,137,076,
972,686,174,567,365,312,291,838,450,622,852,136,610,158,532,506,682,810,421,
517,008,346,502,625,418,444,369,399,072,548,403,537,952,013,494,542,606,316,
611,401,367,885,611,544,186,341,739,523,264,021,665,835,784,210,439,597,889,
977,231,000,452,394,324,385,783,350,731,389,843,067,454,636,256,193,390,230,
398,521,951,842,526,380,554,155,966,178,249,999,742,172,515,774,251,433,179,
280,140,213,596,742,365,870,673,616,181,022,791,646,240,740,321,449,674,611,
329,154,374,261,320,474,357,568,812,749,712,615,408,375,507,809,051,583,538,
966,979,338,564,970,164,411,762,217,816,328,368,664,201,156,722,164,610,976,
734,810,553,390,124,327,113,255,244,765,124,038,449,010,305,557,675,869,058,
226,200,128,764,019,712,553,072,707,411,087,759,890,755,832,719,162,985,707,
593,377,239,698,205,153,611,970,817,591,629,466,462,338,320,339,722,027,051,
357,610,210,538,869,576,242,891,471,793,755,653,275,930,452,650,402,314,480,
001,610,025,559,568,566,099,232,389,659,326,801,184,122,738,912,967,185,087,
559,074,424,527,443,870,566,620,958,250,321,410,983,657,210,617,220,479,956,
641,579,984,623,433,368,848,398,547,680,720,246,255,617,014,629,365,558,056,
688,383,765,078,086,242,568,732,828,967,843,550,898,939,207,744,124,963,094,
874,129,367,475,868,443,886,757,992,186,500,010,243,704,949,061,818,301,161,
115,314,403,258,928,205,668,173,094,452,451,852,169,850,764,872,461,987,267,
731,621,565,018,794,616,800,809,597,384,645,087,519,993,028,285,991,693,799,
230,876,270,971,724,994,253,575,664,770,599,864,728,083,335,196,582,623,646,
438,364,446,139,378,846,001,610,226,733,824,610,366,113,631,069,833,710,448,
656,156,449,967,303,806,379,601,595,396,192,942,307,164,068,381,457,135,166,
548,065,556,170,844,197,564,372,281,563,807,107,751,992,510,087,936,259,084,
532,561,824,907,935,535,656,065,137,137,714,803,015,796,749,223,335,221,604,
310,280,819,820,038,213,066,521,159,741,030,619,286,204,829,114,834,391,492,
284,024,765,973,599,651,789,169,265,690,081,445,300,513,912,406,719,262,172,
592,649,390,170,406,947,533,917,489,817,055,379,223,969,266,469,145,291,609,
368,462,127,341,386,435,677,673,806,896,198,737,602,177,648,699,635,235,542,
881,829,174,755,018,864,964,195,991,541,932,574,407,465,009,345,096,321,010,
515,042,887,425,725,015,282,570,997,421,870,094,197,493,260,773,345,670,114,
045,193,044,869,905,770,798,009,326,471,319,539,916,323,120,489,749,516,100,
896,498,738,001,412,229,649,425,018,674,847,241,091,333,701,843,643,142,259,
043,255,777,843,117,116,689,873,265,821,927,291,143,025,459,002,371,296,279,
810,673,575,999,154,905,142,915,036,576,224,186,766,453,827,861,605,594,019,
538,313,436,713,984,279,685,935,865,855,099,791,731,908,830,466,132,035,134,
476,860,111,723,264,140,673,863,575,572,318,072,091,038,356,435,400,283,281,
481,505,296,632,390,261,888,648,471,740,375,016,589,162,452,199,225,898,136,
395,075,563,553,813,099,414,770,875,724,068,619,255,868,006,073,933,284,866,
372,948,611,400,406,709,786,838,604,354,920,676,790,173,273,005,295,416,780,
482,282,874,472,456,951,799,960,507,809,759,451,603,681,937,454,688,247,406,
660,625,559,731,767,240,408,185,079,589,298,521,763,421,864,853,303,226,046,
278,545,340,535,601,205,474,176,109,838,600,932,052,031,500,233,035,116,230,
334,046,659,821,658,132,799,420,495,011,920,560,277,239,989,584,633,195,608,
424,034,024,985,996,705,858,242,876,039,601,365,642,680,748,893,891,473,249,
967,654,264,277,812,996,988,876,044,581,395,257,401,315,878,281,047,130,574,
545,703,009,490,372,379,737,392,980,158,950,152,229,173,202,547,248,612,119,
852,703,370,211,709,896,356,137,617,343,622,469,567,831,823,363,381,365,029,
171,652,343,257,544,812,289,578,207,841,211,355,627,575,070,546,734,567,927,
917,124,347,788,193,023,005,508,814,258,761,079,066,116,653,176,000,902,732,
462,658,199,745,828,803,895,796,152,258,638,168,324,716,520,360,398,456,296,
142,859,443,705,397,557,156,174,316,780,743,370,229,404,198,428,448,649,018,
870,780,686,101,402,216,764,754,088,634,247,060,950,722,824,056,054,216,200,
581,297,984,341,513,631,300,076,300,383,707,298,665,767,583,827,046,081,100,
415,476,883,402,550,097,685,207,334,055,386,214,096,512,587,161,896,076,365,
832,442,895,962,659,232,957,073,399,105,827,734,696,893,388,380,973,015,948,
427,166,902,071,907,488,282,043,511,282,127,314,399,709,143,240,602,068,492,
041,881,475,777,428,263,465,262,441,500,808,642,125,083,860,476,431,654,873,
092,616,064,089,433,653,695,833,381,815,942,509,211,409,148,894,826,459,434,
946,061,561,520,987,113,328,862,021,743,846,594,983,354,970,169,055,696,149,
225,770,905,374,262,857,093,058,688,256,249,763,737,948,625,506,543,803,209,
873,254,037,759,739,227,105,241,934,594,032,711,942,756,568,030,667,996,074,
030,299,660,354,410,196,503,475,368,206,437,425,939,751,436,646,246,881,876,
375,024,126,847,183,091,974,661,389,377,499,740,322,246,844,354,381,045,171,
690,832,155,824,871,735,086,379,911,874,903,211,280,083,398,982,073,836,000,
538,216,688,766,256,846,339,965,628,472,922,341,683,343,650,669,465,589,836,
305,954,307,821,187,207,144,601,904,391,314,762,688,879,758,668,933,265,936,
318,917,310,561,149,986,754,565,940,957,331,960,631,395,650,175,746,895,590,
238,286,044,833,529,814,808,709,411,521,547,762,720,934,335,380,396,555,328,
798,385,690,753,324,188,152,425,651,329,835,643,231,524,461,771,438,017,451,
312,260,844,978,016,860,823,709,130,273,910,940,913,392,667,949,473,237,413,
964,740,530,304,271,864,279,881,822,405,542,120,038,554,148,759,153,370,539,
107,445,158,382,512,498,971,635,195,271,612,884,488,211,217,122,957,748,962,
426,790,946,270,416,974,718,138,647,395,136,366,983,769,946,797,358,401,929,
036,928,576,351,964,852,804,417,836,613,367,262,889,593,313,535,723,276,794,
263,252,099,671,273,454,399,859,586,972,104,085,741,798,012,343,239,909,674,
686,430,663,173,244,181,111,989,462,071,684,177,969,148,188,694,937,325,589,
416,805,531,989,488,391,425,536,185,094,791,849,248,091,794,335,310,979,238,
258,810,929,896,079,421,846,058,817,440,391,177,677,828,435,059,111,196,789,
282,291,499,000,136,059,811,451,270,782,126,722,803,228,897,781,757,665,920,
754,253,767,768,375,204,577,396,608,053,968,727,892,072,038,373,589,003,101,
650,480,757,821,479,265,718,889,304,551,992,570,038,397,695,488,389,986,820,
355,689,817,714,865,715,441,270,390,469,973,431,049,365,608,295,911,004,692,
571,099,034,252,603,797,577,904,196,926,056,858,982,293,696,880,781,571,208,
918,613,353,375,896,976,775,207,000,884,638,746,059,931,430,782,816,554,453,
430,906,318,967,369,676,964,348,674,974,723,302,050,836,915,014,862,298,421,
469,102,436,398,261,217,859,291,183,609,463,508,958,639,625,695,424,422,511,
466,651,770,500,808,901,805,855,837,504,047,547,883,557,082,405,246,546,940,
901,058,643,311,406,739,249,722,444,915,580,742,452,918,835,738,475,133,392,
735,581,775,357,335,554,509,861,753,166,578,507,459,603,238,529,392,670,422,
691,017,390,836,850,559,830,426,976,166,856,265,910,074,105,073,004,174,636,
473,798,993,342,776,782,329,736,317,206,240,734,582,607,437,873,131,519,554,
679,759,515,291,015,246,407,437,997,438,412,043,144,485,062,407,020,401,664,
348,016,583,778,177,008,382,077,740,886,533,281,449,958,740,447,731,972,378,
377,809,472,610,020,438,077,250,214,857,618,668,108,206,885,150,324,876,438,
355,979,603,653,729,862,337,742,563,166,891,681,468,599,030,236,094,728,895,
679,803,461,627,789,510,024,471,812,174,721,085,291,869,757,593,185,560,020,
883,485,037,693,594,778,210,980,215,320,108,351,180,095,966,118,015,059,221,
639,100,892,787,056,808,240,060,903,632,230,506,262,494,804,672,406,170,605,
993,360,620,424,078,769,325,167,570,581,806,123,751,973,165,387,361,199,290,
044,096,026,441,931,276,809,948,437,278,536,415,050,694,741,710,775,948,350,
682,780,560,726,883,801,110,420,428,346,652,238,401,462,531,099,567,565,679,
357,066,622,366,110,329,027,695,939,439,651,148,879,601,679,143,104,361,504,
629,844,266,549,437,899,020,787,904,351,168,708,359,915,785,400,584,328,718,
386,914,002,317,451,950,178,887,245,747,949,987,767,738,160,125,933,204,276,
204,848,365,549,002,350,251,543,699,920,550,123,873,594,079,525,381,133,041,
429,418,366,403,921,465,564,562,117,723,571,991,699,268,816,430,735,070,368,
512,467,505,912,170,356,290,174,713,300,690,207,757,690,925,233,768,068,703,
218,978,182,375,939,379,076,513,453,571,073,245,738,558,676,939,362,078,246,
346,322,005,645,014,924,001,154,388,391,203,443,052,198,191,544,609,305,450,
923,190,179,140,583,409,978,816,526,611,055,172,645,367,984,032,626,861,038,
247,037,700,036,035,919,502,910,683,538,281,782,921,933,079,991,702,622,128,
386,182,972,037,477,065,090,255,494,514,254,115,555,597,606,615,525,122,362,
284,164,211,444,009,050,311,800,079,303,423,663,517,672,245,370,461,775,073,
008,363,171,170,682,056,091,408,590,639,769,817,409,133,644,378,235,573,019,
405,583,222,416,195,436,432,557,120,731,314,187,273,830,397,528,133,780,647,
463,344,573,807,505,262,050,788,116,944,054,136,965,270,253,815,732,725,633,
732,273,848,803,310,570,908,584,131,647,780,776,265,793,481,952,930,699,900,
821,502,704,433,739,299,894,751,742,279,840,952,070,909,977,567,205,398,342,
818,852,627,474,643,236,768,348,849,939,048,814,181,060,624,275,486,473,199,
631,315,953,537,759,258,281,181,361,347,429,285,176,398,876,721,608,977,173,
807,190,633,436,360,034,091,254,911,351,214,787,129,796,709,549,479,765,759,
979,650,032,754,182,214,659,266,442,927,269,964,220,182,503,769,960,002,222,
118,763,251,711,540,811,305,144,351,798,867,924,539,748,352,393,340,991,183,
061,319,209,534,938,821,155,919,037,463,723,438,044,284,563,621,449,904,031,
624,782,452,585,950,346,664,484,794,117,845,961,570,435,901,733,482,008,994,
379,510,008,942,833,517,835,581,547,002,832,889,407,423,321,712,213,860,964,
474,876,991,991,083,779,665,786,313,516,320,930,025,501,522,768,490,000,690,
014,631,998,792,357,649,783,696,185,807,441,130,694,820,868,583,568,287,682,
601,494,310,505,481,401,455,564,961,640,718,153,085,254,697,867,742,135,863,
529,952,228,346,948,838,090,157,058,551,216,284,387,290,611,622,661,498,744,
927,493,091,840,339,747,634,968,431,317,730,681,095,451,852,846,734,564,765,
022,406,601,515,451,103,117,271,994,327,951,492,371,767,567,780,925,321,231,
554,128,678,717,685,323,955,222,016,274,153,775,434,823,929,003,902,583,165,
509,301,272,869,758,828,516,834,509,672,870,302,182,921,195,626,075,971,986,
592,386,058,410,053,548,192,601,853,297,926,636,740,333,579,860,323,412,021,
441,950,864,106,571,925,388,453,728,323,156,799,955,295,032,995,494,822,329,
455,103,549,870,665,462,279,430,937,995,216,325,994,273,765,256,284,231,017,
468,534,634,886,864,625,684,012,959,429,323,669,690,106,019,423,682,034,159,
082,761,818,839,154,044,223,988,779,501,431,702,782,788,465,613,114,128,685,
380,818,674,934,042,853,086,223,784,954,305,089,814,322,914,847,951,218,288,
071,189,745,355,588,742,329,164,078,396,663,155,583,471,886,627,628,051,760,
896,880,621,334,751,393,044,962,786,699,609,496,133,353,808,488,678,255,613,
119,707,419,862,329,504,845,088,612,455,330,886,209,899,304,641,831,630,861,
703,623,503,018,786,337,999,721,540,782,226,464,301,311,561,432,611,309,806,
605,698,950,469,656,064,833,107,640,461,265,680,439,965,841,649,023,921,745,
857,696,871,283,992,481,300,700,516,492,994,685,861,739,914,479,596,105,904,
546,013,040,046,185,503,283,950,628,695,088,196,045,527,682,489,436,676,830,
857,092,749,688,145,524,485,419,034,095,994,325,667,704,005,549,429,564,760,
717,651,854,657,689,111,697,062,953,764,031,359,804,881,730,049,304,431,483,
299,542,254,764,046,982,460,876,221,090,852,988,923,393,037,042,418,295,135,
901,310,778,467,663,807,300,290,935,375,996,493,819,145,307,524,308,017,227,
545,598,820,131,994,486,048,770,571,028,334,571,763,767,645,835,047,692,374,
443,680,295,409,591,223,678,271,484,245,807,042,339,914,799,583,237,110,765,
729,137,864,194,501,289,704,446,253,081,335,757,546,459,618,480,611,964,555,
818,418,527,502,955,276,348,469,080,668,622,981,224,408,309,364,574,761,620,
848,779,246,556,063,198,355,811,913,740,209,786,370,699,102,093,565,054,765,
681,368,055,982,298,294,930,755,998,907,496,958,541,304,040,155,985,490,882,
726,429,407,994,140,559,829,801,900,373,069,699,507,586,169,442,997,595,493,
107,134,574,612,677,487,511,003,590,803,472,935,631,908,226,778,788,418,371,
751,303,688,927,504,988,663,196,022,153,307,128,765,579,407,946,537,094,276,
769,486,828,190,892,114,000,616,747,503,936,393,527,777,270,109,725,598,324,
612,177,226,843,342,176,735,244,768,587,412,148,367,195,051,524,049,851,371,
079,870,716,409,256,804,374,950,207,802,508,534,163,491,493,669,063,307,630,
108,267,864,055,764,112,748,035,931,176,288,722,890,138,821,692,949,661,834,
605,393,053,297,010,226,328,919,040,670,838,836,307,469,488,858,622,512,372,
135,235,163,327,554,212,048,994,487,633,811,164,142,445,533,396,508,996,119,
582,487,078,329,445,337,239,496,827,444,882,299,786,294,769,630,218,100,073,
978,398,555,256,177,475,822,747,051,625,342,959,233,725,477,824,455,078,640,
895,902,540,666,145,523,485,592,265,732,099,764,075,930,143,888,939,846,188,
532,062,762,716,465,676,173,279,247,036,777,220,732,351,984,118,645,408,897,
574,627,104,816,240,285,014,897,882,316,659,213,386,544,294,322,679,891,802,
015,616,315,076,596,648,178,592,564,459,860,481,620,194,271,969,990,392,480,
441,753,741,830,027,569,579,259,139,664,147,645,095,069,723,582,828,362,755,
071,404,466,003,435,162,939,876,492,371,536,357,417,398,318,502,301,441,794,
284,884,953,780,470,952,815,093,740,402,856,602,535,704,655,188,424,040,285,
619,418,118,041,126,060,895,679,003,717,619,635,095,655,839,187,615,957,644,
931,432,587,093,811,843,627,345,363,515,998,698,686,878,860,282,790,360,478,
146,386,237,520,038,277,493,504,064,581,329,445,348,603,526,029,139,366,221,
004,951,580,400,441,481,578,739,998,309,448,721,251,316,406,693,682,273,676,
349,049,037,673,506,783,845,317,640,394,075,834,011,263,604,050,301,996,188,
882,046,038,249,694,034,994,941,565,849,875,429,857,534,751,027,791,275,697,
863,176,246,767,728,681,081,888,397,304,813,269,502,766,005,128,728,589,529,
059,268,157,005,865,159,612,737,476,548,817,771,976,182,667,901,229,703,908,
311,148,727,273,975,970,182,256,201,909,250,100,478,016,907,721,700,370,704,
703,965,009,354,814,629,085,925,172,727,583,998,942,064,589,612,175,318,462,
200,688,458,454,032,319,140,871,718,315,851,435,708,537,476,355,546,248,408,
050,261,834,610,432,807,611,144,904,094,166,822,324,960,173,596,842,076,481,
225,116,114,198,704,341,031,227,111,505,397,784,620,266,573,813,019,795,031,
353,121,339,444,132,940,963,378,791,463,849,518,207,425,705,367,551,409,200,
292,185,591,625,230,348,388,675,798,321,445,268,540,689,178,604,369,954,870,
813,791,159,942,321,370,989,915,868,620,962,857,900,820,939,710,900,389,556,
636,349,611,669,710,041,029,294,762,855,353,055,043,466,649,417,979,493,979,
698,611,560,045,196,562,815,196,812,497,732,390,766,386,261,616,986,815,056,
238,821,933,920,757,165,984,078,848,112,839,113,814,837,163,847,524,321,556,
444,220,758,755,822,240,172,218,048,009,106,942,432,158,962,351,481,570,638,
726,403,118,295,379,915,178,063,057,757,601,629,393,243,301,377,307,365,962,
621,203,928,168,462,548,589,429,314,536,970,012,089,145,532,293,814,233,829,
688,250,451,810,595,806,248,007,937,682,946,550,212,838,746,801,849,072,212,
400,314,107,695,799,956,568,827,431,602,375,065,174,572,423,538,533,700,589,
650,443,030,243,678,807,408,550,026,632,827,129,309,893,501,108,180,520,604,
176,986,501,113,757,636,861,647,188,754,046,392,579,851,723,177,563,047,588,
892,743,679,537,613,896,277,778,061,787,038,487,474,143,730,009,476,320,488,
952,835,919,766,668,185,851,208,438,236,787,022,867,896,198,140,727,142,304,
617,330,464,136,539,242,529,588,360,984,065,255,695,970,015,954,661,313,168,
224,025,773,644,115,070,650,398,013,689,332,122,618,340,367,195,586,482,890,
293,399,424,558,273,379,397,253,231,958,896,653,515,209,758,414,284,842,954,
739,577,629,672,215,095,312,947,001,755,564,980,209,788,021,806,773,140,675,
993,334,880,616,613,465,852,799,465,729,007,593,690,023,506,877,664,007,033,
586,305,659,965,847,448,657,843,668,582,859,774,068,263,160,416,858,459,263,
666,913,198,684,595,907,703,630,995,802,732,041,012,413,647,328,234,362,429,
479,393,417,161,754,649,958,274,434,092,141,370,959,615,984,704,281,312,715,
472,127,217,378,063,094,625,220,517,142,925,730,857,974,930,948,933,165,851,
163,281,368,372,056,574,721,444,635,965,453,653,668,401,180,742,954,302,515,
757,027,459,586,240,297,255,452,935,258,545,488,940,216,821,857,621,036,576,
937,303,056,720,328,553,856,878,000,719,345,673,384,233,884,414,095,680,893,
065,781,982,312,404,387,441,104,200,263,933,783,698,944,518,463,289,441,174,
469,686,137,141,890,515,224,419,005,467,955,873,283,025,351,345,655,955,624,
050,297,972,844,556,504,133,563,740,412,363,287,980,578,129,585,590,956,908,
426,232,925,482,047,795,298,070,098,972,822,809,720,952,570,050,416,856,461,
954,565,837,982,951,631,455,997,431,460,162,451,422,220,893,855,470,901,291,
294,347,551,313,932,047,712,946,092,077,226,220,508,387,808,505,059,167,056,
930,506,337,320,813,621,646,882,409,627,737,129,173,314,303,343,036,116,731,
478,615,543,442,174,766,030,003,583,686,289,433,077,861,126,853,850,467,471,
824,500,663,789,516,232,128,437,093,861,981,195,098,585,628,142,207,144,780,
760,312,172,209,281,020,858,781,277,051,060,838,141,952,174,590,905,173,957,
140,828,905,346,215,987,335,792,350,684,982,554,298,294,589,632,299,751,969,
311,922,163,907,491,813,235,904,101,984,509,055,582,875,928,328,378,476,694,
484,957,676,768,237,961,727,906,773,634,864,056,995,310,788,189,124,437,904,
347,140,940,446,088,154,993,573,268,371,634,642,951,415,701,543,286,940,605,
450,890,624,098,184,305,848,993,223,771,918,146,758,225,634,929,242,081,213,
491,502,867,378,129,702,416,059,611,601,869,027,028,821,275,024,600,574,189,
660,331,009,059,735,999,289,522,343,628,651,459,005,615,903,157,757,827,232,
474,521,838,449,317,294,904,807,332,331,610,966,241,270,401,549,351,171,688,
911,985,875,305,999,083,260,454,320,019,011,089,822,520,250,970,415,722,776,
580,727,881,389,468,003,038,235,317,579,010,129,162,410,715,588,026,983,867,
611,308,983,355,945,125,751,171,984,250,861,351,648,981,864,899,038,891,019,
260,201,472,478,531,688,894,612,854,059,638,984,195,662,868,573,224,107,863,
756,025,096,391,621,764,809,842,448,483,691,534,267,066,521,316,425,000,239,
695,832,371,436,064,164,198,251,937,845,237,711,133,153,498,418,580,235,944,
315,933,269,036,714,313,335,901,541,786,372,230,560,349,671,976,326,437,112,
791,802,376,206,105,518,680,721,872,610,214,222,251,549,728,107,907,178,883,
719,223,668,740,273,634,973,779,574,667,117,672,187,294,253,595,042,962,572,
672,888,464,383,529,203,457,520,976,544,165,217,217,658,628,143,421,114,415,
046,730,563,454,318,767,369,356,263,751,948,553,806,744,165,866,420,249,046,
939,488,654,034,954,353,017,621,784,387,638,573,303,250,261,516,063,793,600,
438,842,240,142,096,533,489,677,208,901,894,903,656,019,710,970,605,059,218,
593,202,664,487,978,640,123,409,368,144,549,011,310,891,618,089,054,284,022,
559,009,597,697,700,733,178,393,236,947,565,484,580,269,236,170,610,207,146,
941,940,206,801,277,643,369,209,717,331,904,939,774,758,831,052,307,695,448,
727,367,190,276,387,990,679,909,653,259,970,801,008,645,575,954,631,151,411,
799,916,480,645,714,477,389,349,283,032,656,832,539,066,661,650,701,943,861,
171,139,557,651,098,554,517,435,827,386,476,784,537,336,006,648,020,166,214,
772,599,912,576,913,101,918,233,418,204,404,120,875,970,650,806,860,107,508,
670,810,253,768,758,823,749,722,662,809,650,109,427,049,754,959,881,294,904,
442,188,496,354,795,779,464,549,108,757,682,002,090,484,915,045,743,057,425,
298,340,337,343,575,413,709,085,209,408,548,496,026,748,890,076,998,218,425,
538,223,726,246,724,256,093,825,968,202,893,525,086,456,761,337,653,184,196,
339,977,042,606,482,589,490,583,084,124,677,631,193,738,069,137,439,756,082,
757,980,167,606,797,988,585,436,640,089,164,458,150,840,236,713,786,509,186,
989,750,159,449,980,100,000,211,362,355,519,402,857,074,510,023,996,140,753,
925,292,424,050,028,993,245,843,215,877,792,006,454,920,425,551,812,764,784,
564,101,696,357,263,622,004,506,730,638,875,253,189,966,285,135,098,246,770,
494,952,412,817,091,092,919,537,094,132,229,808,042,999,236,966,131,262,393,
218,273,990,236,576,253,911,671,317,043,486,076,928,153,213,251,191,750,428,
052,789,074,470,702,340,339,052,764,351,133,437,776,127,212,700,532,137,879,
004,450,694,432,748,487,228,079,872,641,347,955,898,942,096,594,252,960,824,
336,173,386,197,762,588,532,234,594,420,344,620,805,527,215,448,329,732,951,
740,805,176,855,633,027,135,494,303,904,114,519,273,011,717,882,282,211,841,
131,471,844,641,196,194,737,008,907,012,563,388,099,380,645,251,680,127,303,
608,021,475,366,696,429,559,746,407,522,575,778,746,032,181,161,505,322,859,
990,362,223,144,088,098,395,009,029,239,376,965,538,274,089,386,063,549,055,
049,506,728,250,960,997,244,314,165,848,177,599,822,033,824,076,703,974,272,
269,089,505,414,368,559,004,346,814,029,049,927,851,280,933,461,450,103,069,
052,361,237,036,958,912,881,598,345,069,266,211,458,330,639,531,209,142,566,
900,850,102,917,280,799,527,208,857,861,944,880,129,723,954,389,899,782,685,
889,993,190,677,213,972,609,014,935,320,570,307,710,192,305,281,311,144,811,
999,255,941,934,495,689,920,593,540,376,660,616,123,106,744,007,997,596,267,
540,061,471,146,409,101,069,704,262,907,846,843,551,234,630,223,619,215,073,
321,531,720,657,006,721,973,868,884,901,719,078,423,031,018,922,269,930,129,
859,533,467,165,341,832,264,931,501,199,657,805,210,437,538,566,648,996,729,
918,712,569,885,390,669,121,113,800,620,876,480,406,979,997,987,444,830,851,
753,807,317,024,707,389,884,288,683,902,858,651,746,614,794,522,946,904,222,
246,038,265,846,357,778,518,648,414,607,673,329,432,588,160,225,246,019,262,
992,026,276,079,339,030,349,728,622,096,638,719,886,846,764,228,259,124,659,
775,486,077,577,204,656,158,296,951,838,812,012,997,962,649,979,476,339,702,
832,970,613,680,175,398,943,823,297,443,554,938,403,894,828,979,616,808,047,
891,834,522,346,861,499,809,770,871,215,815,037,951,040,359,429,636,267,360,
736,152,466,017,511,541,954,943,456,702,728,788,826,527,377,651,852,669,710,
939,599,411,165,554,148,767,927,205,667,650,117,887,088,284,453,897,931,555,
931,303,642,618,676,726,089,701,613,861,106,916,464,526,928,160,444,374,136,
774,925,330,115,503,790,799,393,547,950,968,065,731,198,985,262,491,615,396,
702,392,219,624,679,263,189,116,493,548,908,770,090,074,134,073,101,919,728,
334,689,152,800,329,073,092,288,851,308,420,426,154,610,236,726,929,737,652,
941,287,602,192,528,284,021,235,228,351,126,205,030,227,924,974,611,008,659,
717,376,905,997,395,093,960,270,411,874,845,223,791,804,415,447,208,490,330,
603,463,557,731,845,749,625,450,169,119,677,518,316,885,196,176,351,170,888,
431,222,006,156,057,346,770,443,568,429,487,423,346,799,011,194,087,790,751,
544,819,503,640,055,532,545,999,140,548,211,269,558,874,102,824,712,463,843,
928,085,201,184,206,799,368,738,211,467,592,836,910,670,551,248,499,776,275,
744,627,259,552,028,879,620,442,542,542,757,966,800,832,888,518,612,998,107,
884,048,663,267,999,792,995,986,239,140,876,395,846,063,258,235,293,175,126,
146,799,831,574,754,111,574,140,129,752,847,093,824,573,808,774,391,103,434,
886,354,554,447,375,733,770,450,083,419,540,315,448,206,617,102,269,856,773,
460,309,637,395,245,614,578,265,538,010,122,104,461,842,791,937,530,100,155,
542,920,608,983,400,622,679,411,353,274,343,981,739,668,834,463,688,810,153,
198,073,006,624,474,796,461,047,500,317,644,627,445,744,791,918,275,515,293,
571,868,705,805,644,729,350,203,870,126,825,103,358,344,356,687,811,959,081,
063,377,418,080,588,743,257,088,823,197,436,554,804,639,715,216,740,217,035,
738,040,103,056,454,097,106,873,819,342,168,547,227,038,262,579,256,245,110,
430,411,710,225,649,411,079,627,284,595,820,543,620,377,934,909,719,581,337,
651,498,857,335,587,318,292,376,649,331,919,952,806,003,600,223,985,936,359,
035,153,101,593,903,135,203,557,370,462,875,495,095,371,122,125,851,752,552,
046,302,369,393,598,740,897,332,757,894,748,268,032,395,289,055,502,020,165,
735,319,055,092,071,089,217,452,113,179,598,956,246,932,861,344,675,479,715,
995,476,537,616,667,438,660,996,001,921,694,802,943,233,000,487,034,079,594,
725,518,119,021,861,033,864,954,123,806,231,578,386,484,233,216,839,295,299,
925,323,570,902,074,716,984,199,262,292,196,597,470,576,887,769,454,589,080,
314,624,112,904,050,515,161,041,747,700,154,946,466,878,888,710,502,888,320,
820,077,687,180,189,536,193,313,973,607,326,797,498,922,204,157,110,707,834,
650,702,185,004,096,528,687,135,868,935,759,628,441,541,145,495,032,536,717,
488,980,970,569,330,358,257,633,943,098,471,240,810,629,235,543,688,081,137,
258,686,596,106,871,071,902,710,324,903,193,905,140,168,811,199,860,273,448,
726,030,051,582,573,590,445,353,026,407,035,704,896,949,839,673,497,069,782,
400,094,286,751,239,907,976,290,900,063,745,049,278,395,502,416,153,511,531,
698,505,389,174,855,268,030,616,285,564,043,742,479,682,169,048,848,091,693,
176,013,429,248,200,553,557,701,606,312,630,878,928,488,148,920,115,662,860,
356,393,428,495,518,084,056,918,430,694,051,330,105,377,837,370,424,401,551,
542,837,742,139,806,541,951,365,043,603,441,490,252,348,501,723,858,342,715,
730,963,817,559,119,733,826,168,365,908,534,398,953,883,408,017,008,767,138,
461,924,527,735,420,363,615,952,744,160,817,603,641,263,873,296,438,528,007,
056,704,683,058,748,792,367,139,655,313,672,833,385,887,361,227,184,364,821,
532,306,457,683,086,028,426,653,662,727,895,638,105,583,341,058,424,599,118,
310,583,282,147,259,835,807,755,287,949,476,728,046,900,595,027,519,653,075,
190,587,310,867,382,746,101,119,988,069,372,599,593,342,536,528,808,358,132,
959,893,162,351,672,083,045,146,032,238,414,297,184,240,725,250,481,448,089,
735,043,489,100,572,595,480,720,728,363,615,845,178,786,861,495,356,626,214,
474,377,720,185,840,237,978,594,426,650,048,183,491,588,461,033,756,981,344,
229,176,552,535,419,361,337,304,958,734,279,967,800,069,945,467,219,779,036,
458,061,440,167,224,454,969,660,633,984,050,721,854,955,896,393,950,032,788,
007,866,089,078,077,231,415,357,299,310,843,108,957,121,021,156,691,753,722,
065,110,912,651,728,661,421,910,045,475,996,549,303,335,298,376,925,976,486,
446,334,401,759,559,823,295,813,576,324,649,327,863,997,458,951,711,577,494,
096,629,222,777,985,456,170,370,257,048,887,111,793,707,361,808,556,402,641,
428,969,946,975,848,873,363,123,129,299,953,773,185,652,607,299,154,671,972,
347,460,439,169,134,759,297,548,821,783,381,568,110,602,912,618,815,304,233,
079,718,311,638,987,054,623,186,174,133,497,320,379,125,263,003,055,523,495,
523,123,579,453,943,839,916,811,581,808,371,962,897,963,733,701,241,935,267,
101,121,078,838,242,104,216,286,290,393,889,536,627,980,228,403,569,937,893,
195,633,120,670,661,192,073,388,459,071,669,818,401,650,893,813,449,859,073,
653,522,713,784,392,801,058,738,898,802,025,603,042,486,869,606,656,055,453,
302,662,436,514,668,962,165,332,655,118,555,197,892,879,201,203,290,141,631,
257,365,678,645,251,969,003,300,878,625,728,407,229,706,105,256,451,561,589,
532,668,491,577,052,327,463,416,973,304,881,833,163,392,393,990,788,495,501,
098,524,178,411,336,466,166,042,762,211,024,929,742,723,833,071,035,280,913,
194,509,278,892,460,625,769,496,254,267,172,928,268,911,887,513,814,389,257,
244,951,896,733,858,278,977,520,639,356,806,298,913,636,289,765,167,732,460,
495,478,206,760,254,313,882,209,394,917,061,753,435,356,602,755,691,210,280,
243,048,715,640,432,750,292,972,104,201,120,351,173,954,650,077,973,730,689,
858,107,539,249,112,651,673,525,607,164,875,671,673,928,175,074,333,293,816,
582,519,698,059,186,949,770,258,911,377,731,784,598,329,681,257,145,106,281,
062,155,227,425,383,403,608,177,743,397,227,055,029,866,371,789,603,212,473,
507,887,956,362,474,879,171,777,328,274,619,375,293,336,993,476,549,933,317,
822,585,707,604,281,706,151,963,100,811,349,476,455,224,652,657,352,459,884,
263,812,656,274,893,534,421,995,975,989,903,108,116,156,458,492,800,270,470,
206,695,884,555,866,809,874,791,566,659,935,408,790,377,955,149,525,146,245,
985,797,775,027,564,164,524,927,247,904,999,450,571,937,621,682,931,889,234,
554,328,695,167,039,787,364,572,643,962,088,557,687,885,653,167,120,782,353,
550,412,271,952,709,125,437,755,591,916,539,452,403,762,078,154,702,510,429,
880,081,030,871,804,163,744,841,195,959,778,045,374,802,022,674,093,003,380,
402,126,014,858,659,619,744,961,482,985,974,408,327,819,665,282,409,851,020,
537,456,607,463,847,476,334,522,640,636,116,644,721,334,289,745,023,478,318,
939,801,965,181,830,875,367,171,373,083,293,813,389,149,383,952,313,105,340,
470,253,577,066,889,793,014,520,172,064,921,616,188,286,897,086,388,459,751,
240,708,209,218,452,846,488,442,097,250,412,601,674,242,048,544,559,688,640,
411,030,266,038,482,540,109,300,627,110,695,014,268,746,786,034,875,492,303,
271,716,717,513,588,177,748,540,466,749,382,012,890,102,470,928,391,110,407,
316,296,850,454,423,606,232,965,709,789,715,135,018,707,035,415,155,083,244,
899,932,727,589,288,633,814,546,291,130,169,036,668,669,540,289,684,128,841,
377,130,896,664,272,796,038,042,606,635,571,216,952,596,892,789,740,686,382,
866,803,017,800,900,488,136,882,794,181,512,437,126,642,151,678,460,530,479,
083,289,729,162,596,544,137,932,971,047,254,057,773,302,608,064,268,213,650,
698,632,448,549,271,999,504,598,473,859,990,907,145,541,700,409,617,017,459,
747,517,189,549,250,406,264,352,337,513,233,514,170,351,186,667,770,524,759,
268,352,099,563,933,387,340,462,346,825,785,666,483,205,214,629,887,518,036,
096,832,612,029,295,632,098,337,418,508,287,955,092,169,253,392,873,501,511,
972,883,819,459,543,391,758,002,298,156,530,656,126,366,090,864,548,908,468,
796,539,609,608,481,916,678,390,842,678,652,309,779,918,195,412,388,861,586,
288,983,137,087,246,628,779,029,062,197,703,799,519,337,541,296,539,747,037,
342,686,799,409,041,750,212,185,342,134,423,466,296,945,960,481,894,360,423,
481,580,296,892,916,151,862,991,149,607,063,719,506,663,712,589,326,888,984,
131,220,185,104,625,681,923,382,543,583,952,856,776,657,010,602,696,252,226,
695,729,832,088,654,545,991,946,411,697,598,756,013,809,557,879,866,881,220,
703,624,738,922,155,339,812,501,528,230,447,245,850,228,000,539,315,674,944,
022,761,214,408,044,362,239,075,674,268,866,944,919,639,233,828,779,178,548,
382,792,670,361,606,309,899,216,585,361,450,033,110,862,001,119,486,596,630,
260,925,878,407,094,738,403,647,602,084,186,428,341,206,607,826,389,856,447,
523,606,934,292,821,624,654,858,813,017,778,959,246,498,257,865,627,877,708,
401,434,777,014,435,805,790,707,356,011,921,632,139,105,410,642,654,979,103,
075,319,063,547,730,833,969,819,843,840,826,332,785,628,985,787,732,538,040,
298,346,331,892,637,103,019,633,065,656,176,411,466,309,195,950,022,271,089,
214,754,444,160,046,385,919,669,436,079,574,315,626,581,324,194,133,204,766,
960,301,022,873,631,888,800,750,314,700,784,443,803,801,139,360,100,788,124,
782,001,304,924,959,911,579,854,163,113,321,408,899,253,000,174,319,369,264,
429,973,100,955,585,445,120,520,948,169,568,653,145,339,689,441,721,915,672,
741,316,491,548,983,790,726,404,932,201,108,072,824,306,988,090,072,826,441,
621,367,846,407,692,163,214,306,421,036,206,291,106,843,985,156,037,607,964,
484,045,020,590,924,332,387,881,473,846,770,192,229,842,445,948,443,044,026,
923,144,861,306,375,561,705,205,975,951,793,338,950,008,056,097,185,491,186,
175,838,574,021,402,217,640,874,260,886,402,123,502,603,916,564,463,450,744,
928,901,350,439,161,935,854,459,799,790,727,017,742,337,578,904,839,276,073,
438,704,192,394,483,863,136,208,046,229,200,146,436,739,247,813,715,724,674,
327,209,775,100,879,050,185,243,533,758,028,732,006,587,768,144,920,107,264,
061,532,442,116,224,633,016,502,227,677,755,508,648,846,495,232,012,869,230,
727,757,510,681,524,372,370,735,412,725,538,457,462,924,347,616,332,230,125,
035,471,444,722,092,879,928,915,506,793,268,706,560,013,553,699,403,102,452,
078,458,062,397,773,811,366,079,201,193,247,870,178,244,378,300,046,389,575,
082,660,406,543,829,031,788,157,675,222,185,941,990,750,986,397,761,354,958,
950,441,454,698,886,417,687,673,979,015,839,790,867,072,693,892,389,487,525,
418,823,891,894,454,490,304,826,343,663,675,531,781,463,256,271,160,238,384,
880,016,678,159,578,731,081,523,366,176,768,481,844,884,052,035,296,774,082,
835,676,146,971,340,933,913,007,194,068,686,633,347,664,120,540,843,579,090,
462,787,236,229,973,791,228,628,402,398,547,439,780,790,991,890,432,677,226,
899,704,179,838,908,339,408,321,030,880,048,536,062,914,021,953,054,527,635,
353,136,624,539,564,701,132,460,531,407,305,351,131,496,395,023,021,419,202,
889,581,474,122,907,129,771,905,193,300,020,385,524,999,238,206,058,195,765,
234,210,961,648,222,140,347,772,560,489,752,109,161,371,495,200,746,843,536,
766,041,936,230,441,774,925,007,112,222,957,493,809,903,558,638,507,793,132,
636,170,089,545,462,475,844,631,749,806,338,268,109,259,929,550,056,056,102,
444,685,508,231,472,054,063,109,461,517,379,823,136,037,023,362,633,839,191,
316,234,174,416,733,589,258,528,766,827,552,212,194,887,665,211,938,259,018,
086,812,784,392,141,445,457,753,382,237,414,280,554,604,138,370,619,032,463,
550,282,239,431,366,659,425,685,170,055,267,980,759,317,453,340,471,346,250,
937,284,542,450,369,202,532,637,394,516,669,448,743,301,345,266,974,372,750,
639,296,761,439,812,222,005,592,367,010,478,193,094,174,083,667,707,747,021,
338,594,959,636,217,653,873,669,273,114,270,262,179,241,051,891,300,719,592,
241,358,945,638,125,979,904,998,166,424,691,768,283,775,406,884,833,621,508,
386,991,651,519,582,372,789,848,790,549,242,792,879,159,437,281,805,884,444,
632,763,957,254,595,308,988,889,556,997,036,454,820,668,962,153,528,618,259,
805,008,713,867,034,304,190,592,183,841,936,656,378,839,443,053,310,432,916,
043,123,152,912,091,248,483,218,988,824,681,484,185,383,491,617,076,466,600,
523,338,769,711,304,491,433,057,781,861,761,909,905,323,196,631,784,903,881,
390,255,045,624,278,917,126,494,144,441,106,764,581,155,863,119,206,266,713,
337,360,290,133,639,095,048,970,336,149,346,819,813,173,745,136,052,334,799,
847,387,022,936,466,505,359,644,626,843,004,175,917,330,954,067,688,472,960,
990,785,613,875,872,150,733,238,461,694,908,779,763,780,960,495,500,986,389,
831,431,952,108,003,699,217,232,607,038,575,849,459,677,910,076,380,301,369,
745,953,940,601,701,507,110,929,336,016,920,703,457,364,907,092,789,234,613,
181,229,218,514,083,139,200,090,118,063,210,066,635,794,459,334,295,785,846,
457,793,326,534,049,553,476,685,204,160,586,499,991,429,836,916,233,478,129,
152,769,656,529,876,673,862,396,326,402,026,164,905,211,067,310,315,935,745,
417,486,537,312,472,548,058,268,204,211,499,608,398,356,107,801,883,503,418,
985,764,956,797,281,375,922,398,802,722,957,935,985,310,222,192,295,136,843,
203,753,964,790,119,790,959,761,757,163,446,429,306,486,359,557,517,453,757,
898,506,369,280,041,744,376,358,785,399,814,542,994,191,313,414,532,628,074,
035,117,151,238,195,274,267,003,456,866,808,753,924,017,809,761,665,923,623,
557,837,905,524,318,485,119,073,357,440,400,834,774,424,414,045,382,175,297,
705,126,888,453,862,071,430,666,205,690,769,493,611,634,766,772,559,686,144,
559,470,969,566,938,227,951,715,636,537,163,954,509,812,386,157,363,097,936,
400,674,024,848,193,237,043,955,939,256,978,715,597,374,182,236,664,149,449,
945,366,905,962,106,011,712,578,555,323,982,832,688,122,727,819,791,593,903,
935,089,884,026,224,474,314,123,230,948,849,361,857,886,499,402,871,977,097,
131,820,679,418,267,360,899,894,953,279,136,669,598,999,213,576,470,684,877,
074,252,106,397,600,409,834,728,282,768,412,848,259,188,732,764,839,684,370,
747,990,617,567,000,286,447,121,732,598,533,345,143,487,819,716,603,605,370,
837,059,444,832,134,734,311,795,079,648,046,892,509,264,387,604,666,850,182,
597,250,687,783,589,291,581,036,978,522,615,966,769,756,276,198,854,203,170,
592,686,014,823,144,640,623,288,745,254,291,403,105,197,348,270,665,562,566,
950,466,230,532,676,683,589,947,128,818,089,834,627,675,418,036,962,023,992,
690,828,656,621,402,456,566,359,453,097,786,701,567,193,658,961,759,563,661,
647,324,626,283,418,553,211,276,988,967,731,335,657,271,794,143,146,009,180,
979,363,374,367,113,315,075,002,190,471,689,395,445,622,583,932,053,511,290,
155,423,441,974,705,972,564,064,179,608,801,201,753,042,218,745,366,244,877,
569,687,472,288,899,559,126,693,973,776,172,385,343,818,803,452,003,473,164,
508,526,239,406,997,399,845,366,880,374,270,433,588,798,955,832,835,126,889,
200,262,143,884,898,719,632,548,925,243,529,253,986,887,902,687,659,433,256,
845,489,597,337,416,911,381,493,370,364,106,520,921,163,605,880,730,149,528,
190,944,093,254,643,623,026,687,121,377,847,565,192,170,595,587,941,427,915,
157,542,478,343,292,350,656,576,743,198,925,197,912,692,980,805,017,002,107,
898,209,671,679,202,521,297,416,037,400,712,421,611,830,608,332,751,994,790,
667,767,829,211,559,101,900,676,568,640,141,381,301,633,822,553,932,780,610,
945,484,364,211,527,183,576,457,400,143,747,286,154,468,154,480,198,467,441,
110,660,184,965,555,117,396,668,393,277,424,806,816,102,970,817,241,817,949,
989,143,927,693,659,077,457,772,358,033,758,823,402,042,627,414,664,524,713,
561,275,664,620,614,808,007,671,804,587,606,780,857,591,865,883,828,527,595,
177,774,698,162,010,688,106,912,448,501,835,238,289,116,544,075,127,104,901,
664,990,901,406,961,250,852,229,239,793,238,446,380,244,949,661,490,195,039,
343,970,056,068,919,944,012,846,977,625,582,297,110,922,775,568,932,989,216,
725,195,691,002,767,072,001,213,084,039,388,040,216,093,311,834,448,530,497,
671,101,556,582,750,967,575,082,685,063,106,978,984,302,235,679,862,390,569,
728,563,695,050,384,440,158,183,152,042,902,769,563,318,723,376,877,896,704,
356,439,284,337,708,903,250,489,416,174,357,821,451,228,470,268,249,502,978,
294,191,592,354,835,845,359,388,686,612,696,528,974,986,084,218,311,850,170,
964,735,842,440,538,073,803,259,246,445,253,155,617,752,027,124,912,937,408,
416,611,727,438,555,102,376,550,690,601,164,996,080,462,458,572,721,201,276,
628,751,925,059,021,004,885,097,735,525,399,898,241,240,635,002,684,357,113,
747,141,382,931,731,351,876,222,028,724,394,939,403,120,655,574,337,440,739,
335,843,595,957,418,532,168,439,328,383,722,317,395,886,738,174,618,372,377,
326,077,272,881,454,825,563,366,008,084,314,904,423,247,769,611,675,568,322,
474,292,488,271,531,854,905,849,175,308,001,380,490,020,519,121,070,822,489,
105,750,479,613,484,789,135,016,199,547,677,345,875,366,431,313,743,152,726,
752,731,857,960,168,204,393,195,708,527,736,519,274,430,456,258,158,433,227,
519,961,685,832,609,409,477,191,429,628,168,655,181,436,254,959,206,036,032,
459,165,794,212,085,629,463,319,512,364,589,007,800,406,266,021,070,162,167,
349,174,651,064,616,798,732,360,207,539,056,896,846,587,201,140,612,744,538,
783,338,401,093,255,339,281,059,566,898,489,018,001,110,542,581,503,829,543,
497,402,577,657,540,571,802,826,288,523,239,524,476,700,385,750,882,088,601,
685,753,872,384,985,985,759,445,943,211,604,474,224,095,098,697,414,706,263,
230,671,378,398,870,943,546,016,282,041,106,611,071,015,348,596,897,767,057,
377,274,854,695,252,069,005,017,283,211,525,653,183,366,425,867,920,039,532,
903,836,849,385,305,313,900,421,110,860,524,103,489,700,973,187,451,398,088,
856,966,688,294,645,413,052,570,827,261,020,294,053,688,234,552,545,360,405,
425,665,796,403,394,216,014,791,391,408,099,089,707,889,213,433,628,284,210,
992,858,351,224,776,474,452,591,464,858,695,083,768,174,477,331,780,631,493,
926,495,112,734,805,051,368,044,339,414,161,499,894,004,209,055,002,363,109,
563,679,465,097,380,099,212,797,521,540,451,738,292,240,997,707,822,495,109,
519,747,140,635,531,153,902,644,349,435,599,303,052,434,108,205,155,881,070,
181,009,885,888,912,004,708,259,715,939,406,372,502,232,670,723,908,545,052,
095,859,945,064,234,773,006,525,576,993,977,345,370,850,615,832,319,431,621,
640,480,244,779,118,331,211,717,348,189,244,581,555,230,948,881,551,353,567,
744,416,577,269,694,312,126,303,071,778,257,091,889,269,042,053,559,150,470,
502,791,106,358,393,996,175,205,216,474,410,467,069,296,920,729,691,498,849,
381,774,469,055,037,181,181,128,605,959,294,903,942,338,900,320,642,637,129,
577,821,442,230,074,740,974,212,448,083,130,110,143,973,168,407,259,419,550,
328,041,817,638,044,267,579,824,964,315,730,323,135,360,688,780,181,296,474,
043,575,267,977,880,480,679,282,227,624,078,721,038,777,088,292,658,085,728,
116,767,260,573,280,662,735,275,133,604,924,776,254,697,290,332,960,010,796,
305,551,571,350,049,582,117,203,371,758,519,056,553,056,097,588,439,864,929,
954,026,411,619,435,865,521,570,858,455,514,309,132,069,665,987,679,487,610,
773,593,580,452,925,484,616,137,125,943,724,469,769,136,162,868,200,373,807,
126,337,295,264,162,946,465,546,192,809,930,664,483,579,321,231,914,102,771,
018,734,197,556,865,616,433,173,087,333,795,731,437,346,248,821,812,419,987,
613,838,361,179,036,541,017,302,947,907,251,686,869,875,198,496,133,537,885,
627,836,433,357,954,342,491,679,724,638,114,501,389,837,554,008,309,102,791,
925,370,735,047,906,446,425,034,601,486,087,366,857,169,847,261,994,139,238,
090,118,473,362,770,864,164,370,022,807,840,038,559,878,806,974,369,133,251,
704,919,961,456,355,845,698,979,720,439,098,178,019,380,649,681,306,999,831,
682,641,605,326,649,561,703,231,443,592,890,512,555,448,943,347,017,515,604,
508,350,018,040,376,413,077,129,302,670,394,043,942,237,899,622,752,041,255,
231,714,142,753,364,661,550,948,361,624,094,316,714,072,992,447,824,399,492,
744,115,247,609,973,297,642,671,068,852,765,196,682,993,914,099,984,675,802,
550,052,651,159,569,656,339,355,410,842,331,721,603,277,486,150,948,703,868,
452,191,089,420,359,752,106,785,992,566,806,103,845,571,922,381,479,141,851,
773,421,575,608,633,316,321,845,144,329,878,990,088,468,460,933,095,471,179,
885,392,640,410,312,954,843,823,737,082,167,243,759,047,102,779,986,489,380,
538,436,495,560,599,620,261,447,355,950,649,722,444,819,521,446,813,107,705,
700,841,975,524,907,019,809,085,938,494,494,619,847,299,282,532,820,823,477,
261,146,715,759,829,875,648,494,517,307,977,879,346,969,194,369,985,889,481,
868,810,779,857,087,353,081,561,060,458,602,902,276,635,463,475,038,197,500,
380,578,495,924,817,485,012,724,940,139,008,930,028,475,486,839,078,233,370,
314,283,378,269,756,603,929,584,230,941,326,514,930,803,947,551,811,055,611,
838,445,187,242,071,586,852,637,778,333,785,822,242,418,823,613,378,581,351,
699,698,671,194,410,397,349,134,586,510,343,957,104,619,187,287,139,478,413,
023,654,760,165,106,484,961,571,920,471,028,259,103,117,557,685,134,666,657,
597,757,225,836,936,296,913,175,711,822,578,506,514,733,967,898,963,576,098,
758,893,421,646,611,766,098,404,614,222,232,873,316,425,272,838,095,815,261,
354,587,215,651,068,307,813,520,004,362,775,257,731,936,194,631,662,236,495,
458,540,829,771,335,079,009,046,130,706,414,327,494,186,259,657,483,321,833,
817,925,439,795,934,378,963,139,319,618,361,105,338,352,440,758,245,846,797,
627,933,480,281,146,488,174,654,467,440,669,516,114,303,670,509,688,884,846,
875,984,164,099,875,278,387,998,883,890,437,882,545,881,229,900,630,322,672,
609,890,220,417,354,223,379,107,234,900,943,052,301,576,803,336,291,746,052,
760,252,210,510,454,458,984,022,282,232,318,989,306,318,634,613,615,297,803,
302,006,842,494,848,712,414,672,804,586,331,440,948,559,623,320,740,193,860,
676,318,495,448,288,667,190,604,028,495,094,787,155,188,682,144,156,798,304,
408,074,874,454,639,223,179,400,015,696,822,165,788,263,660,203,651,777,336,
022,536,334,496,786,036,684,279,719,991,060,928,453,189,152,729,216,654,204,
155,351,867,511,107,878,244,309,360,545,481,409,304,764,090,493,837,779,096,
797,980,973,490,329,147,984,330,073,421,763,234,335,973,892,296,876,157,139,
307,518,379,679,879,901,838,145,533,971,932,351,115,303,159,842,326,792,624,
587,038,250,094,642,395,292,046,636,301,144,392,460,687,045,585,498,892,263,
964,319,836,243,848,309,083,424,455,094,688,902,815,603,540,658,640,419,472,
810,788,811,533,393,929,697,366,381,631,570,053,237,459,910,530,542,635,492,
192,047,985,553,121,952,994,176,335,212,102,022,736,658,811,169,337,563,031,
210,606,901,655,853,611,877,428,095,990,921,414,862,445,590,749,807,410,305,
630,072,888,358,906,485,534,651,983,810,637,437,789,458,039,015,013,395,097,
264,463,018,572,568,408,554,369,019,277,210,183,268,106,151,862,850,059,811,
791,904,720,871,712,422,031,513,189,100,365,917,349,074,054,756,519,407,408,
334,381,900,922,787,884,067,651,277,034,889,670,058,927,330,786,363,765,069,
811,708,551,051,521,720,815,794,186,888,349,218,134,723,033,800,399,411,958,
361,912,661,016,080,758,583,346,199,492,128,294,451,384,152,641,905,329,939,
706,801,766,542,607,571,699,733,167,730,263,689,571,463,096,242,692,070,159,
461,025,689,613,642,527,882,552,778,348,480,900,200,970,279,663,061,703,582,
717,446,015,222,201,168,973,017,639,646,387,862,574,624,854,359,789,051,235,
854,825,696,979,575,415,181,387,727,413,001,717,933,540,748,511,500,289,949,
813,986,724,279,118,822,847,681,032,223,235,848,359,846,563,237,850,221,316,
411,504,219,894,809,197,902,972,249,914,216,092,532,604,728,592,408,951,672,
810,594,027,950,912,563,958,319,274,516,726,888,925,077,529,187,981,889,162,
328,009,719,552,639,225,829,650,218,078,302,166,662,176,800,068,468,262,477,
241,158,670,015,839,165,732,107,098,778,712,387,370,694,228,611,599,411,592,
572,313,013,008,751,335,004,463,245,091,748,199,681,705,882,271,627,505,933,
764,155,593,585,960,135,971,668,824,606,759,311,378,059,382,212,566,976,829,
151,359,288,473,042,992,842,506,851,054,510,322,587,109,997,919,735,224,689,
435,537,029,782,094,016,812,387,945,801,580,543,555,245,918,148,306,168,045,
872,127,138,450,169,851,545,363,269,667,634,549,696,741,897,878,120,213,895,
472,716,289,116,007,619,603,731,146,198,404,472,625,078,978,867,513,365,195,
062,272,594,184,651,859,709,873,473,308,278,341,749,998,920,823,218,863,719,
182,195,461,025,954,101,946,301,381,658,817,932,319,419,510,307,635,567,263,
331,480,360,077,333,035,505,141,650,895,508,823,111,671,938,264,479,895,616,
254,495,059,110,703,649,244,563,454,904,557,562,364,495,331,250,928,923,332,
272,789,763,476,568,170,219,978,129,402,270,289,664,951,093,482,738,612,720,
900,545,045,708,379,699,181,694,712,583,899,229,420,489,175,282,783,569,811,
838,645,029,775,564,704,639,686,316,697,888,176,717,886,497,488,840,319,553,
222,630,688,399,314,311,032,232,168,806,168,374,426,647,890,989,456,185,442,
098,961,371,846,507,207,788,720,414,546,021,889,238,583,155,362,812,938,812,
133,439,944,521,688,670,843,333,385,771,785,903,084,302,411,811,295,366,225,
000,021,204,536,996,682,162,324,025,276,281,084,760,956,546,924,751,761,019,
668,805,844,814,164,390,292,766,709,483,185,954,686,804,372,301,107,803,141,
554,153,758,827,511,800,958,397,600,476,243,822,549,600,699,373,227,251,497,
674,911,522,360,471,449,066,375,728,968,795,701,327,982,692,908,540,980,912,
116,626,453,214,853,593,032,105,682,268,522,402,574,002,713,709,329,868,272,
748,192,156,001,446,721,856,403,330,335,335,945,359,854,257,677,137,648,888,
650,892,534,176,461,504,600,084,686,158,800,012,388,858,763,098,008,419,830,
113,036,361,382,062,243,812,088,069,323,704,912,178,404,336,984,608,690,531,
673,770,252,924,062,765,308,940,070,406,371,643,963,369,187,143,943,250,375,
197,674,327,781,407,336,719,567,460,707,966,873,299,295,503,756,890,228,376,
182,752,507,183,921,521,247,382,502,032,698,241,041,743,285,053,631,479,105,
663,957,001,914,394,787,179,191,219,943,682,855,216,426,886,072,106,298,315,
839,331,389,469,192,124,963,632,321,206,830,728,253,432,166,219,452,679,959,
617,075,038,061,853,882,738,882,771,034,165,620,529,192,681,336,882,857,422,
283,959,206,785,277,593,246,863,003,694,446,571,443,797,591,749,612,782,732,
780,775,228,037,204,788,818,168,393,792,714,871,503,415,084,770,518,927,133,
121,149,406,113,953,313,213,249,217,445,104,871,245,824,949,384,448,937,302,
081,798,123,784,164,558,961,624,995,569,499,455,604,289,534,264,708,927,766,
033,492,397,307,900,485,022,857,192,574,783,951,263,205,940,119,312,882,912,
885,447,625,688,817,298,431,673,092,745,919,244,396,325,757,969,325,545,765,
438,030,979,615,811,867,294,422,624,390,381,385,800,982,917,084,239,593,595,
266,216,898,402,372,016,873,985,122,021,920,784,932,288,675,151,076,456,130,
630,775,386,952,268,771,483,432,396,423,429,546,774,699,047,896,987,440,036,
507,126,681,080,746,644,946,730,050,529,559,079,939,782,121,934,188,748,502,
280,032,113,083,987,046,885,582,210,793,692,207,120,232,422,251,329,521,495,
329,017,671,422,789,758,469,479,624,914,750,656,363,412,171,325,556,675,571,
319,627,365,429,251,461,790,582,742,235,717,484,817,598,619,944,501,619,669,
802,265,969,635,638,836,876,000,680,256,893,070,109,192,591,729,171,149,064,
143,486,969,194,081,437,218,115,641,807,801,616,673,256,823,087,677,867,792,
396,582,938,822,796,645,273,318,168,996,938,367,607,493,162,926,965,284,981,
523,364,634,756,315,737,103,238,335,636,327,884,684,318,622,498,669,670,920,
643,397,221,599,737,316,246,597,852,385,550,383,871,083,040,676,737,717,331,
829,687,275,629,201,350,145,957,920,422,943,388,131,802,106,428,662,000,354,
573,262,408,138,824,553,738,755,086,124,177,864,733,862,397,431,356,244,619,
020,705,056,754,550,140,207,898,532,760,754,892,528,030,926,921,358,076,258,
904,328,119,926,487,386,710,941,460,756,367,362,652,927,287,279,557,490,489,
858,660,697,105,183,067,728,663,789,805,123,981,092,369,441,360,154,788,254,
017,233,619,955,494,773,917,417,987,842,618,994,494,994,143,075,135,984,977,
916,078,910,901,872,718,545,709,845,670,140,323,007,324,479,553,594,863,956,
292,414,037,840,317,465,823,862,679,028,153,574,257,609,876,199,226,523,824,
124,106,588,522,507,654,531,976,139,918,913,278,351,174,058,400,700,726,991,
924,893,267,550,482,890,543,379,409,903,018,379,855,437,728,426,769,763,342,
182,937,473,359,106,746,106,584,974,905,956,609,380,918,162,337,030,179,889,
815,024,952,588,155,939,409,825,386,040,917,773,538,073,969,848,067,687,743,
821,223,664,845,145,821,771,237,370,490,942,181,524,941,128,248,308,615,685,
933,886,722,566,146,341,852,053,356,952,329,092,464,267,037,605,170,240,232,
170,261,930,878,247,168,127,053,584,846,613,040,638,413,327,213,495,938,112,
801,622,891,884,741,584,843,313,586,501,527,245,840,388,326,929,931,371,237,
528,553,511,124,766,291,471,244,495,939,580,654,314,920,556,640,672,106,160,
009,925,133,341,395,858,036,781,784,007,587,521,608,444,712,845,059,497,795,
365,601,448,614,622,382,231,909,359,552,144,462,689,017,080,294,254,347,069,
323,891,290,427,101,249,168,525,492,129,769,376,929,007,588,004,510,921,937,
061,756,780,724,389,732,526,207,063,196,362,153,959,613,933,241,902,754,650,
881,816,956,117,012,680,760,399,457,921,360,634,995,268,250,999,965,538,791,
972,072,670,411,347,810,108,727,729,873,676,304,848,232,267,384,997,023,274,
533,046,903,495,886,997,544,457,479,974,912,315,814,029,640,730,006,230,034,
745,952,374,428,878,969,779,519,426,916,552,920,484,389,181,957,464,129,288,
493,197,195,603,994,631,821,540,362,932,853,338,457,067,323,310,425,643,519,
903,353,289,445,980,795,674,284,542,580,326,835,827,464,209,798,904,287,533,
352,627,099,215,234,868,157,673,610,225,919,406,842,775,556,124,997,921,179,
225,636,673,589,735,464,158,067,451,958,224,743,259,576,462,361,047,400,812,
439,075,339,524,241,845,355,222,126,839,992,261,872,091,867,043,449,425,395,
893,373,215,536,581,140,668,991,868,496,522,397,300,303,399,196,715,124,666,
136,546,766,356,374,793,652,658,807,250,822,538,568,462,052,176,187,898,000,
433,768,509,236,866,656,958,701,341,157,435,231,882,307,029,871,613,511,490,
863,758,687,899,201,407,269,500,939,818,050,561,344,045,741,474,057,480,993,
765,925,668,669,233,187,120,141,580,714,105,447,202,834,302,463,947,895,923,
372,910,241,803,727,679,739,598,481,834,493,869,628,050,216,289,959,855,103,
933,600,766,759,367,921,960,695,832,928,801,566,563,717,491,567,637,018,840,
726,249,006,631,813,860,180,328,557,007,092,428,569,384,114,481,731,343,568,
513,469,095,811,573,203,914,131,692,859,579,900,811,285,338,490,796,442,429,
854,987,161,181,068,280,440,457,220,185,533,499,468,551,365,776,305,522,199,
962,996,091,438,813,375,749,752,982,988,373,249,180,721,016,683,443,287,567,
847,818,086,117,594,388,253,517,015,708,719,751,185,672,021,337,882,293,807,
016,160,513,979,337,133,523,411,402,466,076,040,523,619,910,644,409,325,670,
006,091,553,417,591,777,875,235,360,169,595,802,017,489,217,366,066,086,010,
512,621,964,297,760,806,459,545,405,337,504,076,976,216,098,491,589,262,387,
467,377,133,066,778,768,451,105,947,408,589,455,584,575,355,759,131,404,881,
028,601,720,054,670,010,451,248,584,166,540,504,949,532,157,683,431,387,214,
488,482,414,311,556,544,710,604,514,737,735,537,813,340,396,927,694,324,652,
881,260,993,402,609,028,665,238,339,145,666,712,252,833,621,232,900,002,241,
546,628,102,609,439,746,426,147,803,909,110,998,996,467,206,050,147,460,650,
344,973,249,452,179,640,613,662,635,119,379,109,906,672,937,066,029,875,923,
087,390,203,395,375,869,237,407,867,589,839,898,220,769,108,646,414,213,236,
799,494,030,614,669,771,152,421,249,297,500,356,843,204,223,321,991,492,535,
452,869,208,753,719,433,110,360,330,349,772,092,396,875,924,116,385,184,029,
343,230,309,985,539,156,440,454,489,612,455,274,462,300,906,849,476,030,367,
282,685,400,912,095,224,466,857,396,231,213,593,927,093,395,959,591,637,023,
593,433,158,383,617,113,686,713,844,665,518,342,402,055,783,068,630,393,681,
800,127,707,470,387,227,225,328,418,799,901,763,996,265,846,103,392,498,656,
261,089,860,078,306,270,610,525,524,349,084,600,803,974,212,502,177,651,053,
626,809,866,224,872,815,842,821,159,730,802,489,695,258,150,085,326,479,034,
077,433,682,715,976,765,930,306,751,465,634,995,660,168,486,096,976,426,336,
797,748,145,784,130,362,856,478,411,343,029,916,993,506,882,915,537,449,458,
495,842,109,500,354,105,351,254,921,243,308,814,570,803,729,311,886,680,730,
690,967,127,934,553,233,196,142,606,318,475,440,338,845,231,149,722,808,617,
689,733,221,629,120,918,233,250,134,247,231,623,694,722,218,346,007,711,277,
525,248,953,825,584,051,737,568,806,022,418,746,547,456,293,486,740,510,913,
556,878,001,599,449,482,869,784,324,465,680,214,960,407,000,294,715,590,494,
963,524,882,933,876,493,081,408,271,723,485,279,959,083,964,782,480,113,267,
505,605,498,352,441,726,297,020,761,458,258,549,364,868,857,361,060,609,833,
497,111,399,155,962,409,864,541,007,390,204,545,266,819,359,874,433,561,740,
787,928,162,219,806,921,715,677,616,354,212,842,224,801,270,384,324,260,564,
753,359,942,160,091,651,540,923,483,614,308,284,426,693,093,154,617,577,032,
069,138,240,025,881,721,000,534,060,614,470,781,799,059,499,916,513,889,938,
908,130,969,509,304,341,173,956,755,118,376,677,878,957,010,538,789,051,025,
174,575,766,624,256,929,959,103,141,522,626,598,841,413,919,470,516,335,161,
951,235,713,189,870,392,797,352,184,234,484,869,551,204,965,221,850,568,013,
168,712,838,056,274,203,477,227,501,861,485,441,670,785,095,990,184,685,611,
941,860,081,657,948,054,532,871,400,401,364,915,784,918,347,120,079,822,668,
848,253,366,438,251,442,998,617,648,891,607,488,736,946,482,876,719,236,296,
623,865,825,057,467,934,717,701,577,324,430,374,161,627,849,945,171,788,062,
238,534,591,842,852,521,170,734,350,775,388,636,603,405,232,354,421,719,870,
139,948,951,461,234,982,262,898,582,708,621,575,759,729,660,879,174,974,785,
066,673,326,198,622,156,745,631,021,296,231,872,059,366,896,456,786,388,915,
115,853,955,483,083,781,980,889,336,725,835,969,029,733,427,040,946,274,016,
343,099,922,675,775,773,703,586,959,148,328,864,961,454,306,030,708,842,924,
567,536,124,564,669,506,550,278,028,665,958,325,625,549,958,334,225,919,757,
780,971,223,337,972,920,863,026,413,490,150,601,371,983,939,589,813,838,672,
582,190,859,446,024,465,126,331,163,972,072,926,158,391,733,292,323,837,407,
307,481,306,592,049,464,537,063,904,181,252,799,227,852,864,309,315,432,875,
833,406,455,341,566,186,757,535,297,120,511,538,649,778,165,923,205,911,110,
964,215,077,386,309,561,781,254,323,792,250,263,760,785,480,056,210,360,642,
503,377,512,568,829,657,302,470,098,880,826,718,326,356,514,495,074,597,216,
885,034,876,400,188,972,159,566,232,949,194,235,400,164,394,550,545,726,607,
093,938,641,981,003,891,711,330,804,337,772,540,658,428,108,861,661,796,614,
142,768,161,142,347,490,135,144,678,058,714,262,075,309,178,797,121,268,427,
224,525,559,198,130,075,272,460,058,630,192,597,430,594,800,505,211,877,509,
766,836,554,991,060,586,245,982,541,095,032,581,612,306,713,684,473,011,477,
942,878,839,799,800,744,562,742,247,206,750,469,187,007,277,555,125,749,426,
052,877,568,402,748,100,395,696,372,960,834,832,256,400,910,232,276,700,934,
969,341,705,745,499,667,319,903,766,003,557,704,419,471,826,137,441,208,192,
365,670,444,216,056,133,336,207,924,025,403,391,416,916,215,371,722,367,473,
885,487,479,737,299,109,411,636,950,756,974,556,237,087,988,523,214,277,803,
258,577,761,183,332,912,046,168,877,899,802,709,671,051,332,661,221,469,125,
407,115,753,207,141,285,166,974,321,014,282,500,894,949,125,546,469,706,521,
460,744,345,332,090,031,090,686,060,027,355,070,561,790,759,495,374,413,882,
237,817,501,908,329,928,538,471,041,513,465,285,923,420,035,551,180,571,019,
701,814,034,799,184,701,290,077,867,843,397,162,232,751,047,143,510,600,943,
465,063,265,567,397,896,120,766,673,311,129,518,418,186,784,168,287,657,545,
499,921,573,106,150,309,232,999,785,634,549,091,033,161,567,906,471,123,416,
380,479,809,035,118,312,458,101,410,077,318,767,726,982,307,166,608,409,378,
316,572,203,869,888,851,695,286,409,615,854,364,878,071,645,479,830,424,844,
832,213,889,194,037,771,129,085,481,782,488,446,692,540,951,222,046,462,645,
019,443,091,301,599,403,423,857,123,283,121,758,275,913,077,542,467,646,323,
079,569,062,487,497,686,324,575,138,465,112,166,019,150,888,322,075,746,226,
237,150,949,951,950,005,360,902,152,392,339,291,998,129,641,356,980,867,061,
343,681,531,093,715,889,006,323,933,890,394,095,141,203,819,003,581,769,670,
986,595,391,986,070,299,494,330,352,191,702,862,012,816,677,858,385,776,015,
195,127,668,737,085,060,584,139,603,298,034,996,228,934,090,863,159,949,663,
510,518,552,543,484,640,713,326,483,345,367,551,543,048,423,131,503,622,776,
460,118,166,673,683,653,362,537,652,230,846,267,838,941,976,412,449,938,468,
295,492,171,997,461,878,106,518,542,968,128,927,269,892,105,511,091,743,239,
342,510,064,802,610,419,817,195,634,728,662,467,485,338,489,796,194,327,079,
498,298,124,572,109,278,350,897,531,397,180,636,126,722,738,623,706,991,849,
405,928,257,619,598,185,283,872,389,413,491,720,595,877,609,480,748,022,261,
093,934,183,455,799,704,069,554,425,569,996,603,298,497,919,325,103,679,072,
337,445,131,371,253,321,473,860,163,687,419,909,870,063,229,752,985,116,365,
449,702,300,451,819,529,168,928,534,031,519,839,231,542,552,622,922,856,731,
794,927,505,068,130,023,592,694,608,345,103,435,348,413,953,232,374,139,855,
785,634,989,291,736,427,087,682,596,958,269,439,076,991,823,773,869,747,673,
225,128,410,254,186,528,466,728,819,096,470,214,360,254,202,824,272,129,763,
924,219,831,546,789,730,075,460,120,359,502,613,624,905,615,957,536,136,320,
411,284,735,153,228,509,374,994,486,864,469,479,865,678,824,756,272,374,186,
157,103,256,425,831,459,623,007,212,948,682,822,068,182,689,841,629,893,134,
761,349,919,151,975,941,167,124,489,733,338,301,906,850,713,093,484,992,352,
398,315,287,215,654,004,597,054,120,348,338,481,748,304,228,231,653,015,051,
187,208,228,692,575,850,573,784,814,282,762,953,791,179,437,295,032,156,752,
532,483,079,680,938,629,884,822,293,913,360,622,868,053,998,259,434,521,661,
854,976,018,787,918,681,692,544,208,052,256,575,556,076,667,792,317,821,922,
167,844,055,027,114,358,731,384,585,801,305,678,769,590,685,265,597,081,792,
419,132,957,145,499,950,943,529,689,124,111,465,392,678,993,148,782,197,549,
058,379,849,580,998,315,594,104,477,493,904,966,550,946,245,398,221,716,125,
146,185,635,097,685,877,678,463,373,269,828,930,496,785,880,983,722,781,181,
282,388,048,687,245,901,394,988,580,324,818,446,649,124,736,674,070,858,836,
404,729,506,018,759,579,664,867,460,089,836,538,017,953,571,608,045,199,666,
677,927,303,776,802,092,445,309,697,578,221,871,626,615,231,873,181,386,644,
276,836,069,265,398,607,072,052,784,720,824,387,112,208,856,560,362,904,189,
724,951,922,427,193,862,983,956,702,919,455,797,799,479,304,600,818,266,796,
227,456,601,435,584,288,401,185,090,812,640,094,389,270,093,672,253,392,843,
340,280,233,059,041,479,893,175,415,504,066,554,162,763,384,354,420,921,203,
410,338,379,512,432,853,116,879,368,402,190,756,638,613,410,128,167,817,919,
549,986,612,101,141,950,949,350,962,554,959,939,598,708,577,933,601,387,054,
872,625,499,097,623,897,284,166,034,582,118,958,626,083,461,789,671,470,064,
780,371,952,914,135,595,208,618,405,208,652,282,838,040,416,309,258,952,570,
576,263,528,151,385,081,815,256,812,588,394,825,394,125,706,666,539,098,571,
497,535,614,408,434,630,579,322,855,782,404,518,527,468,649,851,886,805,363,
116,066,926,571,374,936,300,488,537,295,287,718,256,154,354,308,394,854,999,
393,810,588,535,378,558,320,035,320,538,229,143,310,259,633,992,293,253,621,
747,693,082,222,753,003,929,884,023,282,374,033,835,645,040,570,133,219,333,
534,031,792,855,177,009,781,886,762,918,475,168,453,028,287,442,837,020,025,
078,014,236,128,521,926,939,966,191,806,082,965,442,300,984,000,709,432,937,
983,604,025,542,002,836,603,141,906,237,500,365,203,979,214,963,266,534,892,
440,591,646,827,260,422,122,252,282,117,731,231,382,325,223,381,777,062,540,
112,960,109,520,270,155,345,613,047,235,992,359,798,268,104,819,194,337,370,
669,937,509,998,837,091,379,767,416,892,289,090,799,339,831,040,188,922,400,
728,318,053,387,080,858,010,489,873,287,668,003,760,653,902,795,578,856,884,
110,156,298,748,133,069,585,342,381,546,943,425,784,411,259,033,933,878,827,
377,974,708,161,942,972,533,830,245,769,492,543,476,755,073,813,825,749,798,
676,708,343,615,937,743,341,171,022,906,352,741,836,144,280,183,280,076,459,
462,016,658,750,127,421,029,583,882,082,079,126,885,271,617,437,930,406,543,
851,351,803,713,607,889,857,379,025,530,166,172,182,244,950,896,921,613,531,
870,965,344,913,748,301,858,897,691,549,319,293,778,940,526,100,660,459,254,
671,366,321,511,665,321,257,344,658,336,685,747,919,367,516,008,140,496,266,
594,886,440,591,719,379,983,629,577,542,157,933,559,363,146,557,669,487,517,
441,428,626,785,070,501,295,971,860,251,365,221,316,055,987,818,478,753,722,
466,494,610,408,483,012,841,947,555,384,722,361,811,106,246,469,106,101,053,
832,335,692,237,520,612,284,529,210,818,678,189,186,350,385,033,598,967,978,
380,654,560,225,271,105,606,871,145,592,553,946,071,730,309,969,782,600,617,
739,188,599,824,367,125,001,501,481,567,202,686,093,032,367,669,101,339,892,
903,924,125,800,425,730,985,924,199,607,347,156,630,077,797,597,780,046,042,
631,099,472,318,776,165,199,035,339,780,601,044,454,170,105,035,810,113,495,
822,844,796,850,140,470,343,835,640,002,186,369,065,245,915,308,719,229,272,
714,218,328,236,135,453,957,972,840,942,865,310,373,824,331,834,121,447,443,
938,221,920,787,275,161,674,391,248,728,137,919,465,956,302,355,416,710,993,
195,249,998,782,838,607,183,727,258,597,057,390,521,227,789,804,308,324,660,
359,560,155,494,053,006,247,211,611,880,204,834,297,858,420,949,667,644,205,
157,022,596,153,804,698,102,018,895,989,149,928,573,183,661,730,413,433,594,
490,836,419,560,040,822,013,219,167,087,468,392,492,031,025,631,856,656,155,
437,109,416,283,336,898,644,359,895,186,097,006,714,472,536,754,792,592,482,
028,215,192,163,726,032,857,681,050,934,006,917,477,219,321,940,577,838,760,
998,037,684,699,367,576,849,033,299,250,965,973,975,105,832,849,889,491,430,
767,661,945,278,678,466,840,664,300,106,069,160,835,781,025,042,449,061,412,
298,283,929,482,671,772,536,301,300,895,956,070,412,865,947,653,742,537,225,
267,697,856,291,754,434,497,750,245,760,745,779,753,624,897,081,620,322,032,
329,646,822,001,068,130,344,740,447,326,704,304,846,973,572,417,096,585,238,
857,052,012,683,628,364,059,573,473,908,672,081,540,417,554,467,102,683,803,
688,402,351,874,350,447,121,194,526,906,089,298,025,759,211,436,968,805,352,
364,161,032,865,416,873,421,295,888,130,834,899,031,961,444,345,632,801,995,
083,210,107,878,058,628,933,260,648,399,003,414,936,862,265,217,502,888,945,
281,721,249,411,606,966,790,616,578,387,783,370,936,978,189,125,218,508,604,
786,889,877,439,336,604,038,911,969,998,049,637,715,836,907,368,022,888,179,
559,279,667,013,910,207,566,530,380,941,211,269,293,635,317,201,523,261,064,
049,989,143,376,594,966,150,903,069,020,774,580,978,719,959,052,658,083,999,
683,797,700,932,821,763,664,245,094,765,594,342,391,379,070,776,959,786,776,
165,066,023,612,943,354,755,009,165,628,621,955,542,739,650,715,694,073,487,
675,493,975,446,571,135,445,939,063,080,696,149,432,995,304,779,399,938,147,
912,236,266,213,604,720,502,054,330,933,156,726,121,829,175,375,257,824,356,
049,663,781,292,948,326,412,968,286,512,155,155,702,981,931,466,686,982,689,
415,303,182,080,226,612,894,018,098,962,008,555,901,155,716,472,709,057,741,
282,633,741,976,909,407,975,996,146,606,414,872,312,817,008,771,801,687,944,
366,220,184,897,995,485,625,059,359,415,343,667,839,937,338,016,629,521,443,
226,454,028,785,040,367,140,661,416,579,083,159,795,982,441,653,632,914,416,
176,356,099,019,000,470,479,868,940,884,727,298,458,852,417,723,907,538,461,
203,058,724,977,466,974,429,262,776,335,485,135,605,502,882,725,886,373,552,
600,309,594,156,178,084,262,867,993,958,965,305,120,735,080,744,476,615,567,
828,768,630,363,479,635,795,632,233,959,759,157,405,057,113,190,964,640,769,
088,288,230,739,713,195,690,266,138,566,060,323,366,537,955,150,035,478,510,
106,359,822,368,551,726,430,240,471,844,496,281,401,653,457,557,429,562,375,
750,049,083,485,216,312,000,008,342,199,998,953,590,879,183,424,132,467,861,
964,561,051,907,824,529,116,006,889,662,045,673,121,859,730,094,075,679,137,
153,331,149,356,374,290,310,539,062,877,247,690,905,733,742,780,757,974,269,
238,702,694,654,410,351,544,628,669,553,384,119,241,646,204,384,054,887,084,
844,362,234,493,322,646,467,014,946,213,087,120,764,836,034,033,018,859,480,
361,489,625,753,654,701,839,148,201,409,317,997,089,211,908,944,461,926,461,
944,092,255,589,698,325,408,261,334,307,481,195,910,826,347,976,162,545,578,
378,646,212,365,799,486,642,436,069,460,144,080,975,831,916,272,048,598,366,
606,917,665,361,564,174,471,671,738,765,569,676,538,139,032,474,718,358,111,
367,927,063,960,758,558,558,116,457,335,991,167,850,999,119,670,586,492,796,
637,866,946,151,775,518,992,806,661,690,764,795,096,574,303,209,113,634,359,
988,277,087,670,974,657,443,022,755,925,839,098,171,897,612,446,626,408,450,
629,256,869,954,152,414,825,781,323,416,254,295,768,474,562,250,558,140,734,
090,717,424,400,359,258,947,250,521,422,298,426,199,454,391,823,759,712,680,
578,767,289,462,823,698,413,985,838,388,874,052,769,833,162,963,103,451,793,
485,632,794,589,709,101,701,899,180,973,736,686,762,550,681,454,110,272,979,
047,200,551,949,308,396,301,834,067,795,443,765,327,982,702,481,266,304,292,
270,493,669,859,307,349,221,522,980,864,253,627,806,747,232,195,762,838,330,
247,671,074,721,572,159,674,165,153,802,388,631,914,806,570,857,169,244,942,
478,202,214,114,852,559,018,434,318,021,386,586,774,491,106,461,641,001,071,
858,636,866,108,904,830,907,115,637,648,722,729,926,322,134,664,250,939,901,
435,545,372,325,680,345,536,084,475,037,693,940,657,003,591,099,848,085,310,
113,949,491,986,282,129,573,705,952,871,083,402,876,796,941,471,333,325,510,
193,185,832,511,918,436,321,222,975,568,648,413,372,637,904,142,836,178,515,
584,799,146,158,927,868,240,496,976,199,494,819,967,863,369,050,979,873,105,
251,311,121,799,682,157,976,475,750,451,846,698,458,061,076,737,439,420,432,
332,552,114,179,882,138,126,074,631,841,853,564,382,303,648,567,993,430,646,
261,438,793,078,965,795,972,302,101,853,787,545,171,728,811,009,472,049,603,
848,511,024,082,971,828,673,048,129,370,668,811,693,702,608,912,164,998,838,
361,106,087,816,112,431,401,556,028,187,951,295,393,870,067,807,253,002,281,
844,746,190,622,447,119,653,602,065,376,991,560,858,666,946,375,508,308,619,
391,336,222,216,642,355,535,892,159,391,079,601,728,978,086,569,092,386,353,
740,057,158,132,925,984,749,789,079,646,271,484,167,936,873,950,471,049,967,
062,755,091,000,091,856,382,878,811,058,131,472,504,162,696,480,844,514,630,
991,050,893,368,570,946,093,328,030,089,720,565,470,917,840,087,722,560,862,
681,639,434,915,375,660,683,894,170,994,780,059,807,166,610,298,687,868,424,
490,089,767,737,010,803,316,237,879,828,049,820,466,241,269,111,224,432,888,
242,661,154,146,261,059,995,147,618,011,193,657,481,004,727,143,637,082,438,
373,268,337,973,334,931,239,409,392,945,193,661,597,766,747,664,534,589,195,
574,080,663,354,568,882,183,400,213,848,738,342,699,490,903,616,285,486,230,
208,611,989,194,805,563,873,277,202,907,684,088,970,888,681,243,996,789,380,
982,015,001,542,334,463,575,233,230,887,647,504,735,356,979,086,965,019,627,
347,385,873,235,242,809,574,647,228,228,458,342,014,657,914,842,798,660,426,
114,142,030,192,518,983,827,974,426,137,652,611,903,874,071,291,018,594,431,
176,524,487,412,369,768,849,478,086,965,047,606,400,557,457,075,817,716,882,
138,234,214,582,374,406,968,288,750,858,148,601,061,206,854,063,332,620,258,
469,569,548,027,764,348,063,899,297,497,710,009,735,001,081,106,323,938,045,
182,022,854,806,919,221,574,282,556,065,740,105,406,760,902,988,859,041,748,
673,938,820,259,768,465,507,958,301,652,661,265,154,994,644,660,331,076,681,
008,243,059,594,619,886,465,385,440,434,592,492,283,374,016,576,876,733,091,
193,982,127,934,549,932,177,733,440,818,379,529,912,599,335,488,919,170,283,
547,624,693,805,176,762,135,053,611,149,472,080,520,828,419,159,400,090,586,
563,492,766,021,803,195,473,624,679,672,385,183,172,742,704,890,111,076,897,
074,003,407,387,301,691,151,026,378,144,377,403,453,649,652,332,056,662,147,
837,330,290,848,424,330,499,657,102,020,520,353,109,926,482,848,752,072,157,
005,872,944,033,846,291,405,270,835,049,158,481,243,242,207,041,679,855,683,
747,313,845,155,609,425,784,629,619,565,847,465,362,880,554,701,759,877,074,
307,363,771,781,691,186,288,859,216,543,944,479,827,108,475,971,670,332,603,
413,880,838,891,731,649,267,392,681,575,344,964,315,709,054,816,604,124,617,
554,241,177,601,021,336,067,962,172,358,758,311,471,333,222,566,864,204,699,
123,224,037,438,496,175,690,785,249,199,344,478,607,460,871,286,501,918,562,
304,537,415,114,086,488,481,776,858,055,685,537,322,436,279,121,979,141,994,
778,687,492,216,975,612,843,360,374,248,207,522,986,639,380,687,488,935,039,
720,917,141,894,850,837,593,870,232,247,524,039,860,446,165,462,005,800,451,
706,865,729,112,467,557,913,116,366,760,155,408,883,158,523,295,107,098,316,
332,805,038,958,701,326,907,198,105,750,229,698,713,009,827,206,395,274,267,
976,565,228,346,843,265,133,539,945,895,306,954,445,128,906,741,556,113,016,
889,076,462,877,702,481,314,699,746,195,480,692,940,795,759,923,835,163,753,
303,116,839,585,506,502,603,792,165,762,681,927,262,056,395,642,999,391,948,
044,656,323,597,712,124,792,819,321,105,002,591,319,100,054,881,801,682,109,
170,407,643,521,096,430,945,118,809,570,692,056,442,905,347,495,381,546,142,
745,176,887,193,864,973,198,112,595,671,872,980,930,446,445,503,468,990,882,
506,677,389,392,255,917,304,017,606,752,461,339,623,034,942,014,242,717,953,
702,445,330,174,737,617,509,766,787,852,115,670,734,722,429,149,223,462,854,
022,952,722,095,258,387,955,380,847,539,086,205,726,678,896,248,212,063,149,
406,923,417,984,212,629,661,272,211,845,087,098,921,309,561,161,257,076,290,
830,046,617,017,801,928,080,043,591,631,487,140,328,065,635,179,118,919,162,
215,204,879,128,831,900,914,674,990,514,617,016,386,949,910,633,366,339,494,
954,961,224,738,860,954,140,481,657,712,852,569,487,751,634,076,456,794,709,
021,164,280,897,993,765,246,091,372,370,626,307,140,296,976,532,549,279,100,
894,324,948,957,941,387,925,600,331,827,700,126,234,666,473,292,416,772,329,
398,997,263,857,405,758,567,653,972,313,760,816,832,459,821,537,637,260,148,
562,051,506,748,624,297,876,938,636,158,060,798,978,174,263,629,671,087,522,
166,064,356,261,033,355,416,644,411,668,980,745,863,602,454,966,984,837,247,
929,527,287,006,004,746,354,961,426,063,185,070,587,931,900,718,689,696,421,
029,579,394,494,071,388,937,582,219,627,104,810,283,601,283,925,276,282,526,
766,489,602,233,752,327,151,009,712,148,050,768,522,251,195,621,034,215,225,
463,755,493,386,224,715,336,299,049,451,549,021,637,210,970,572,493,821,031,
057,344,555,991,856,672,358,836,768,077,161,506,692,803,629,116,120,901,391,
737,328,984,149,237,821,144,329,131,936,491,197,878,418,291,653,280,071,799,
645,965,014,330,240,701,583,394,149,431,408,024,693,859,645,057,749,768,300,
313,120,650,539,720,304,529,502,779,558,838,457,469,610,661,021,175,460,218,
593,708,899,441,142,662,231,048,760,023,012,683,446,176,987,424,636,604,439,
095,618,052,911,251,905,230,458,416,556,340,548,111,506,363,356,535,044,164,
245,070,261,170,698,277,320,743,749,973,994,923,142,380,270,141,589,135,884,
972,619,845,038,219,114,451,934,567,507,076,873,174,575,316,335,469,242,457,
961,302,924,840,679,502,035,757,426,813,778,121,320,068,017,209,221,996,513,
481,360,374,354,330,440,357,597,093,654,255,698,805,462,058,950,497,710,804,
043,095,605,646,136,932,907,135,118,965,829,880,157,984,255,187,010,103,027,
241,842,704,230,330,605,507,459,374,332,477,473,008,584,966,872,700,459,747,
711,123,075,915,380,649,505,249,648,459,477,613,812,072,517,099,894,793,782,
210,575,902,945,066,515,595,804,608,780,604,654,540,566,618,099,994,098,878,
448,259,296,588,537,374,037,315,669,310,599,837,204,576,453,803,965,303,502,
181,737,883,974,848,870,855,631,977,661,451,716,541,576,985,046,983,825,779,
006,700,276,698,253,591,856,197,969,351,949,160,336,601,597,082,988,637,150,
603,830,716,822,473,450,867,602,954,099,197,389,170,494,119,133,400,188,759,
165,112,773,964,711,625,830,875,973,167,965,502,086,454,585,598,626,714,122,
463,838,812,765,132,585,790,729,858,602,558,666,146,694,269,367,349,437,131,
415,318,250,245,877,284,600,791,612,659,786,240,175,566,973,838,597,141,709,
485,671,206,505,930,210,222,517,272,672,643,308,451,572,245,023,306,838,809,
964,524,633,456,191,469,125,462,525,406,563,309,320,109,333,094,809,098,753,
823,844,957,926,855,761,848,605,040,486,603,508,416,115,674,382,005,957,771,
896,707,291,964,069,738,871,859,754,779,026,313,785,465,181,849,333,272,647,
087,752,016,576,028,045,011,998,529,530,876,735,080,820,385,595,440,065,611,
233,605,129,067,118,864,811,824,830,140,751,422,513,316,751,602,656,536,679,
610,373,986,439,240,213,113,970,838,799,130,947,804,199,091,164,817,177,664,
610,978,804,324,887,834,735,059,402,465,645,541,622,566,681,902,795,008,314,
298,239,665,525,053,991,960,599,393,211,652,943,166,753,785,388,056,622,587,
876,280,897,190,667,234,900,394,733,629,757,029,650,604,688,615,102,720,349,
155,452,860,817,297,729,935,248,870,973,640,393,826,574,145,583,598,332,922,
026,416,194,877,971,200,629,975,893,262,715,917,184,319,789,400,345,940,964,
958,839,482,607,794,676,565,596,608,368,790,010,297,921,893,583,345,435,930,
391,713,947,144,860,752,672,085,879,419,280,850,362,196,561,734,009,817,076,
927,569,657,230,660,702,971,454,058,791,933,200,678,306,489,563,102,858,927,
977,183,104,971,161,272,242,239,932,421,141,645,866,203,987,757,228,558,690,
093,654,002,807,557,264,508,318,063,023,216,668,654,046,389,170,270,108,537,
676,961,285,894,154,232,191,714,373,534,727,769,038,364,634,444,468,597,990,
113,577,305,973,290,255,326,041,614,818,336,751,707,812,778,683,117,384,930,
110,362,248,571,539,303,796,284,647,029,442,813,021,482,074,823,283,661,396,
152,075,541,205,024,858,763,905,434,013,639,592,960,367,225,232,679,672,911,
527,830,790,637,238,463,826,974,780,485,151,083,869,554,530,368,535,417,428,
950,091,474,766,870,296,134,124,646,628,379,614,749,164,708,936,640,515,616,
570,176,277,414,840,656,853,553,171,568,276,756,383,470,171,072,610,438,818,
513,647,804,416,266,609,664,080,924,901,934,016,684,786,460,942,484,119,496,
383,480,678,842,932,969,515,269,846,637,357,168,955,758,184,851,676,405,642,
382,305,991,250,432,750,494,334,047,089,627,059,356,616,641,007,528,986,205,
495,635,080,077,597,503,639,071,178,471,329,752,810,838,568,782,087,659,119,
764,079,244,421,197,501,276,510,801,016,343,727,510,315,116,733,673,185,223,
854,691,426,597,046,231,050,122,758,337,283,173,254,984,952,300,701,316,407,
787,331,888,471,208,348,951,310,713,101,909,533,207,840,471,359,537,154,156,
168,261,917,329,731,747,186,912,740,360,982,004,309,559,090,705,513,608,677,
108,323,893,928,829,532,008,873,102,588,969,124,016,041,901,175,625,178,561,
858,224,935,433,969,438,603,319,733,067,128,942,661,254,989,795,836,154,818,
339,059,572,539,461,141,381,041,415,972,736,049,858,520,508,678,020,951,677,
542,922,216,493,778,310,883,345,897,380,555,432,647,877,045,757,780,776,999,
787,796,081,311,459,885,665,996,372,006,988,116,832,775,271,570,712,853,295,
453,823,999,064,598,695,435,424,938,171,369,475,107,657,089,219,639,008,683,
924,324,510,046,022,028,792,720,892,156,381,878,567,536,803,827,613,506,821,
343,523,057,668,642,026,411,313,224,074,274,718,407,321,500,713,006,501,084,
730,310,575,951,544,885,935,615,054,327,885,517,393,916,470,045,525,677,252,
954,064,509,368,469,621,937,602,853,404,529,766,084,545,673,715,930,777,195,
270,118,945,673,429,055,148,245,781,895,186,276,755,114,904,253,224,354,167,
061,616,845,435,373,796,426,399,167,451,138,534,629,742,511,341,393,490,597,
350,390,156,495,582,515,443,588,652,712,236,004,444,748,375,865,091,767,923,
756,207,930,675,401,345,233,321,268,335,715,280,288,186,660,152,552,690,241,
576,210,376,971,124,912,269,119,871,406,436,993,585,952,548,800,202,943,752,
820,956,126,517,120,995,422,305,692,399,001,889,551,671,069,246,205,204,043,
020,371,224,262,743,653,128,142,839,588,622,675,955,771,411,184,517,149,894,
169,008,785,155,179,846,087,428,004,392,548,089,659,975,999,974,733,656,836,
964,950,533,222,062,156,180,007,396,214,538,845,619,426,753,743,576,095,777,
309,640,055,081,854,233,730,721,684,161,281,440,666,469,894,835,133,588,299,
095,837,339,777,677,383,624,780,750,680,059,944,052,518,878,131,299,962,109,
878,992,269,482,438,603,843,387,082,999,906,052,599,111,038,837,005,005,601,
820,017,010,937,671,321,095,973,884,029,579,816,344,685,366,421,968,980,003,
754,047,948,726,425,780,606,486,247,676,138,940,693,365,137,991,490,224,612,
067,025,844,311,688,388,956,270,382,956,238,304,427,452,908,506,955,070,568,
994,540,242,776,125,919,326,901,311,548,464,829,738,930,183,187,380,197,045,
286,974,021,951,738,642,563,784,866,212,112,535,943,204,991,696,028,500,065,
865,410,322,981,092,525,503,916,656,446,519,264,632,214,806,352,747,327,878,
098,729,138,037,996,919,547,710,404,357,575,174,907,446,252,823,827,734,874,
161,623,322,812,386,425,992,183,849,414,498,501,545,694,556,646,612,869,140,
183,781,327,293,790,328,044,632,189,037,065,193,315,736,620,622,220,580,420,
901,988,675,460,201,921,010,353,564,460,684,164,396,871,540,524,013,631,844,
251,009,529,018,089,181,789,292,057,679,635,927,426,681,046,847,391,350,120,
996,567,867,840,625,611,426,985,042,653,634,390,070,582,283,113,305,172,316,
687,747,880,282,196,234,124,937,210,124,631,388,200,719,144,732,350,651,585,
989,118,926,145,856,321,200,215,605,925,044,913,223,800,427,570,442,854,725,
101,190,646,348,048,694,369,942,529,730,614,803,347,621,217,197,701,632,913,
479,226,489,200,984,259,288,601,923,348,418,133,960,945,642,262,924,849,955,
615,720,280,594,113,790,168,568,329,175,586,564,105,628,651,433,995,927,091,
280,682,885,362,682,041,851,206,727,451,730,747,409,139,518,167,260,084,052,
832,912,199,160,716,551,432,606,313,556,582,369,861,995,621,726,554,250,035,
518,934,398,670,601,168,439,859,751,315,883,592,127,975,545,044,028,431,826,
962,146,378,991,724,863,106,765,592,270,178,295,948,427,608,671,882,118,488,
658,993,517,438,536,781,134,727,286,247,251,644,383,651,073,441,299,494,988,
303,482,231,781,397,022,655,785,417,254,699,684,467,888,535,890,944,077,819,
354,354,452,824,089,853,035,170,035,675,914,215,231,801,740,023,399,114,303,
259,057,843,039,746,943,184,146,905,138,450,499,327,307,680,973,779,659,767,
368,711,571,837,749,696,255,166,248,630,936,278,858,382,824,162,980,467,832,
328,920,879,347,289,274,687,540,573,300,816,474,373,158,326,420,671,433,084,
974,038,204,709,273,544,363,475,188,543,275,501,321,954,384,440,237,932,656,
336,980,735,345,784,921,460,633,800,064,609,960,758,221,050,597,274,002,850,
910,032,939,172,320,582,247,598,257,744,745,188,105,210,511,119,616,446,516,
953,034,619,940,502,628,289,521,208,221,133,194,160,632,546,538,009,468,334,
092,233,731,220,844,661,342,389,762,200,937,526,587,881,647,828,034,772,569,
204,581,884,980,278,017,630,005,042,778,915,126,484,538,601,216,026,617,142,
337,819,604,859,193,335,295,208,480,465,928,220,437,584,433,979,652,290,502,
970,443,412,437,321,072,516,322,919,894,584,446,547,782,803,785,244,092,976,
260,157,091,217,790,370,528,591,181,181,185,875,026,341,950,518,183,572,136,
912,693,439,897,181,495,451,829,820,794,524,358,738,154,493,391,452,339,859,
419,735,289,173,346,948,105,086,378,571,663,991,956,384,676,184,223,284,499,
167,923,574,631,785,900,405,344,687,650,702,412,233,034,095,840,898,559,455,
661,436,355,247,547,158,610,558,225,515,729,734,947,704,208,275,836,344,360,
790,996,731,780,833,543,107,370,199,831,588,995,759,943,314,203,365,279,520,
029,328,275,347,782,441,906,323,986,450,545,231,825,803,565,122,012,171,511,
463,066,007,978,893,514,021,805,237,340,268,814,854,912,300,745,288,751,609,
849,180,774,705,667,163,530,760,284,738,455,440,531,463,578,722,670,392,654,
045,604,843,616,888,195,705,739,193,950,070,847,594,247,848,588,641,463,138,
258,089,374,440,399,147,893,047,628,537,065,466,570,629,386,844,389,140,273,
153,591,050,779,935,279,383,540,506,490,192,908,460,988,926,107,859,488,816,
796,742,930,459,037,843,471,860,055,758,114,751,575,781,123,378,961,987,532,
349,845,656,390,093,174,653,419,295,118,858,161,493,109,858,136,287,675,488,
808,694,699,637,990,981,061,003,590,040,649,168,114,113,457,404,282,746,955,
354,771,633,198,912,108,620,026,089,656,979,449,562,465,763,080,024,651,109,
018,723,067,377,699,962,452,843,852,201,224,711,682,051,224,881,729,325,115,
800,471,982,296,414,282,274,813,875,601,338,783,702,605,004,296,337,488,064,
386,396,297,672,469,843,283,923,494,759,806,478,352,725,590,773,085,963,137,
213,407,134,016,178,616,630,582,240,031,010,672,691,734,713,350,534,723,767,
020,088,415,412,749,892,157,538,255,798,715,215,182,035,573,050,273,820,017,
895,699,852,210,639,817,834,229,186,848,918,001,459,802,623,188,506,231,599,
881,293,820,767,783,507,477,190,918,566,425,905,703,068,593,553,999,189,054,
989,191,975,139,860,808,969,423,038,772,236,572,139,134,104,241,423,526,682,
276,539,062,801,117,867,679,215,994,831,200,155,839,748,814,715,779,905,571,
552,672,622,995,634,498,077,166,184,257,744,084,718,098,434,354,177,589,115,
851,225,675,781,043,040,368,943,912,736,618,700,096,066,567,342,660,390,394,
523,708,669,922,175,165,836,333,901,014,179,066,390,489,409,993,579,248,811,
803,068,955,265,395,312,279,385,242,183,102,799,543,646,506,183,304,399,220,
614,854,149,686,546,315,561,977,283,175,777,303,637,344,849,816,314,220,818,
654,998,545,867,766,786,803,480,560,300,599,466,128,536,315,976,194,287,018,
453,306,498,447,293,866,975,729,318,125,957,924,473,123,006,842,772,620,531,
467,548,129,816,180,287,506,591,475,557,343,475,352,562,038,897,131,982,068,
475,081,648,241,905,903,381,790,363,645,576,791,208,178,024,961,814,396,851,
308,767,074,179,714,824,297,961,806,518,108,991,226,306,880,782,007,778,470,
810,385,101,295,799,800,759,247,573,165,962,968,767,645,798,169,579,749,046,
577,486,617,378,835,012,164,703,343,364,689,243,419,639,151,185,799,594,076,
016,621,458,864,603,301,967,443,860,663,896,153,413,763,050,172,671,469,024,
455,624,780,687,045,646,764,143,507,351,811,112,604,053,852,480,264,039,458,
781,932,021,232,853,873,223,547,932,231,399,790,477,059,046,545,580,642,560,
988,546,738,257,210,520,985,189,768,003,652,150,659,656,678,255,983,266,625,
548,831,003,484,978,419,152,208,354,027,455,209,430,146,232,623,027,814,712,
905,896,681,803,157,256,020,364,424,887,070,398,011,661,647,211,165,333,527,
158,752,713,925,621,875,035,350,857,363,402,494,480,594,871,414,211,005,958,
800,001,112,001,820,228,135,427,056,114,648,563,232,232,467,361,016,215,277,
982,095,485,088,704,098,589,749,961,697,418,054,856,418,391,225,470,868,971,
799,528,336,875,093,210,473,401,835,221,707,923,607,777,276,454,113,945,817,
467,458,608,462,986,211,927,375,946,385,975,075,484,888,177,048,765,420,034,
262,019,308,540,866,249,048,276,255,316,913,937,831,745,522,568,545,136,963,
676,875,465,000,439,298,901,666,285,946,238,097,875,491,521,530,156,900,242,
674,265,902,167,239,003,180,997,458,556,101,917,819,995,586,624,633,848,791,
466,835,708,149,890,868,409,300,467,335,082,791,843,509,352,445,528,536,998,
268,115,133,218,164,218,605,272,792,165,278,011,422,599,034,472,958,914,832,
886,704,862,434,279,088,208,348,224,764,312,000,588,297,276,164,306,693,917,
221,400,533,052,409,023,364,047,443,720,656,115,436,426,853,115,420,411,933,
940,949,731,889,533,541,421,470,408,168,183,034,267,731,705,508,173,014,620,
580,340,665,058,158,548,855,805,704,503,289,848,955,723,773,047,969,996,145,
531,891,659,137,642,869,516,057,713,971,055,606,820,704,518,018,123,739,516,
878,712,744,495,740,286,384,925,911,405,233,098,124,664,275,035,065,751,259,
848,246,810,814,775,539,528,182,833,764,038,921,621,001,589,093,544,617,295,
071,673,900,551,195,607,573,093,063,039,046,341,313,855,741,975,173,346,587,
681,659,125,429,168,963,158,893,633,789,835,466,957,418,947,784,189,121,618,
335,785,891,084,578,244,590,921,522,629,767,977,782,446,449,811,389,576,541,
399,129,850,969,864,004,724,069,717,776,036,202,538,712,953,008,558,714,044,
408,739,884,446,474,066,367,107,988,201,896,855,117,480,562,637,288,769,729,
810,810,000,857,837,978,195,370,931,601,222,453,909,945,757,178,295,737,517,
452,066,920,111,112,134,733,130,582,733,529,986,030,158,709,585,513,760,444,
204,177,390,427,225,019,378,783,361,501,980,619,158,807,236,422,821,211,542,
514,256,127,327,263,350,631,699,458,927,474,808,701,267,335,332,495,269,751,
937,737,000,720,571,441,875,779,873,134,626,809,321,418,906,234,930,286,466,
165,129,046,772,639,292,150,228,960,000,818,230,918,621,633,332,168,263,547,
041,679,416,148,729,186,034,161,005,532,099,436,582,072,029,879,607,279,679,
887,572,901,490,411,955,531,751,262,914,266,397,903,842,212,817,270,395,801,
304,471,141,002,052,989,327,824,131,549,218,405,964,306,216,439,557,075,457,
688,626,451,519,772,313,356,108,982,286,949,649,849,373,050,389,013,771,179,
523,862,865,415,544,656,233,221,863,548,763,790,330,668,960,313,296,098,018,
144,050,299,854,732,755,262,739,386,195,616,518,773,848,207,798,758,553,331,
812,464,627,163,386,866,679,560,972,895,873,873,542,553,862,946,948,476,435,
326,409,535,301,209,641,950,884,367,091,756,567,452,467,456,494,966,425,495,
751,459,954,781,297,448,053,149,407,364,054,318,391,327,581,705,432,565,056,
492,110,638,097,989,097,827,911,144,907,614,347,643,615,516,676,091,981,887,
073,147,131,471,882,243,029,527,287,082,494,201,069,562,153,493,126,181,083,
889,990,090,937,083,321,554,439,340,137,446,985,303,711,531,302,919,200,984,
455,788,801,844,877,223,852,005,792,675,070,824,691,145,458,083,323,163,436,
501,879,465,933,509,032,807,368,523,523,618,700,735,069,234,261,285,432,470,
867,286,285,262,738,240,050,310,364,760,353,437,388,658,191,981,241,655,029,
493,476,623,793,013,858,546,616,989,405,356,289,735,496,097,098,669,526,561,
992,458,959,582,418,640,287,469,207,655,439,351,240,815,726,307,078,617,932,
393,900,599,484,397,919,771,411,411,351,186,405,488,363,968,287,066,865,801,
642,916,332,972,363,296,967,469,766,904,721,804,049,458,816,358,135,411,729,
834,393,001,732,569,444,366,187,081,509,759,592,884,284,990,489,779,466,452,
065,830,737,918,632,084,405,996,786,775,347,680,024,438,319,751,614,442,812,
969,516,865,695,647,135,320,235,956,626,391,969,088,879,321,549,588,265,768,
776,379,140,634,578,951,973,946,921,716,624,959,792,218,841,698,601,763,165,
016,168,567,233,032,483,165,758,755,303,019,666,201,246,301,003,533,997,207,
922,420,114,766,736,929,893,181,623,826,305,924,303,952,994,439,181,751,924,
706,971,805,015,409,693,634,412,508,120,217,970,032,647,144,564,338,539,531,
182,279,610,216,110,157,097,657,877,758,734,975,697,131,763,293,105,591,801,
712,455,505,384,784,661,614,994,314,653,101,299,625,099,439,111,191,281,670,
146,862,829,369,038,619,026,030,442,380,843,750,736,603,070,853,012,837,888,
359,725,306,874,195,712,420,493,386,721,960,353,557,554,559,202,000,223,958,
461,395,912,126,253,873,721,498,601,037,645,855,924,853,017,275,323,606,209,
030,704,487,004,551,034,426,916,000,564,468,004,752,335,144,772,126,120,237,
009,643,942,942,026,768,854,716,345,140,976,899,113,519,649,915,677,348,342,
088,640,301,523,935,841,243,630,646,639,206,262,979,289,401,189,205,321,591,
533,878,759,901,816,009,573,711,709,357,535,335,028,887,734,311,208,013,386,
754,591,272,018,157,959,980,498,095,501,216,912,643,641,867,950,921,389,986,
114,779,964,199,617,156,082,450,256,493,566,897,518,581,686,266,133,177,091,
301,982,923,869,501,524,135,413,963,757,649,887,667,460,460,411,192,564,281,
442,161,818,985,481,746,787,520,612,650,215,334,483,280,826,929,873,078,193,
194,212,644,248,048,145,451,477,261,050,243,600,397,558,938,999,287,090,949,
000,269,631,468,710,500,697,447,860,390,065,524,309,942,764,091,004,477,703,
584,141,439,452,064,251,484,714,932,770,581,001,618,442,781,487,438,126,890,
009,266,702,058,801,554,602,369,915,644,702,955,425,907,437,119,010,484,822,
975,826,962,723,488,742,522,296,940,906,069,424,874,652,567,277,034,044,815,
357,151,627,300,013,521,699,986,760,080,730,977,532,843,341,587,642,943,979,
311,518,354,961,861,844,560,803,621,212,420,801,796,843,959,146,352,567,767,
302,740,621,422,117,359,880,738,989,470,443,930,239,754,628,672,843,782,986,
390,179,868,740,078,830,086,425,444,164,652,226,754,662,080,234,714,531,233,
892,908,920,319,531,586,823,799,071,554,698,530,915,742,493,175,007,989,504,
283,666,031,149,944,832,730,463,690,895,136,288,038,640,374,970,257,793,423,
232,230,956,643,647,526,750,232,593,536,580,644,318,297,971,288,307,867,368,
398,707,373,192,516,287,037,155,659,255,687,504,845,793,766,813,058,996,064,
057,276,012,843,404,868,145,693,827,899,090,451,184,768,984,564,835,532,406,
440,382,371,196,287,572,889,665,013,569,440,656,987,225,650,772,796,529,953,
359,177,715,630,377,242,483,912,706,567,462,103,840,749,044,428,413,622,754,
993,937,619,871,199,750,131,488,668,977,108,554,798,546,911,494,247,902,621,
425,814,214,890,921,702,577,816,151,727,033,844,534,409,091,750,792,518,608,
555,649,495,620,256,296,894,290,520,259,750,504,664,429,767,912,953,335,396,
141,752,400,680,769,952,772,488,080,206,318,325,552,921,743,308,251,773,043,
299,369,154,442,443,386,430,691,152,943,084,834,937,096,902,150,105,624,974,
352,113,531,228,410,324,669,025,104,255,434,198,469,044,669,085,369,137,251,
088,313,847,339,434,825,194,602,332,610,090,448,422,006,901,972,672,394,161,
360,956,199,341,256,914,725,849,032,474,286,070,446,880,952,532,969,093,144,
215,567,681,785,935,509,531,657,111,101,795,167,246,108,250,218,010,843,895,
676,823,434,190,536,950,952,691,797,451,128,647,226,075,021,140,244,325,143,
251,286,181,485,160,410,873,359,720,455,925,166,212,984,413,582,317,695,289,
132,300,288,227,200,445,137,272,342,516,014,544,301,867,960,549,216,138,002,
077,930,622,744,810,700,467,203,633,289,534,528,815,747,252,101,024,237,838,
668,949,307,839,068,517,502,790,853,762,477,616,384,623,433,746,876,306,113,
801,232,119,616,528,309,574,110,101,533,851,538,276,386,944,445,586,746,201,
504,229,988,448,837,094,157,579,237,406,700,846,438,609,951,769,485,655,185,
744,855,234,689,843,203,176,717,712,371,408,408,788,928,725,928,615,325,809,
643,137,191,516,413,330,077,624,111,927,958,016,377,333,591,152,987,450,554,
403,538,464,514,158,060,684,085,309,686,660,325,819,149,714,897,813,884,084,
466,738,362,520,633,638,839,648,210,903,419,804,436,893,758,461,605,514,457,
022,899,119,044,772,631,444,124,527,314,291,814,319,367,113,633,588,562,025,
245,030,697,807,948,384,655,550,791,492,321,121,064,975,392,591,514,818,106,
054,975,794,388,613,757,872,884,137,398,327,714,639,535,500,507,974,090,972,
633,802,879,997,521,537,993,877,899,374,113,619,009,932,626,368,550,063,964,
355,749,676,793,474,164,474,844,158,204,868,072,386,745,117,513,811,652,520,
318,438,617,378,058,264,290,455,751,572,263,960,593,942,372,353,147,893,417,
685,925,912,269,127,929,790,517,177,940,149,900,314,870,745,545,390,187,783,
121,657,083,164,467,688,987,910,599,564,210,734,734,467,468,449,831,450,412,
818,294,801,311,817,114,446,668,215,824,424,216,588,590,985,826,502,492,500,
039,134,639,178,803,708,864,997,034,978,510,277,350,826,818,940,792,441,376,
815,670,657,149,125,358,057,078,242,383,408,124,853,964,532,083,530,810,282,
386,870,482,568,856,530,565,288,359,209,313,366,348,527,053,551,089,755,760,
681,031,105,312,648,088,969,440,684,307,953,224,181,398,291,176,470,637,305,
724,096,466,855,180,409,044,765,621,580,145,779,507,858,095,400,506,734,158,
669,419,487,598,496,884,389,279,978,153,980,666,737,903,923,816,522,664,054,
432,383,763,515,807,176,301,302,588,457,372,380,537,286,643,034,805,742,246,
851,115,573,187,483,787,525,072,319,698,904,660,823,805,507,154,932,410,376,
421,676,020,158,261,968,801,600,881,115,114,891,380,289,839,025,852,155,951,
150,376,465,704,106,012,448,128,288,641,296,438,056,644,877,275,620,828,881,
152,879,046,913,035,269,563,086,423,203,385,776,544,898,951,628,002,924,700,
288,021,998,264,688,018,686,387,771,279,988,079,406,979,154,598,247,047,074,
454,555,335,712,887,385,286,010,910,119,152,799,356,093,431,015,018,765,940,
199,454,368,291,435,640,243,135,168,394,352,723,623,018,758,273,429,576,233,
827,569,573,727,185,071,924,928,919,476,104,773,398,391,195,330,103,333,456,
651,690,787,838,544,559,967,944,926,797,060,507,094,196,546,061,216,012,499,
166,563,315,379,163,898,770,498,150,720,220,432,169,208,422,509,835,989,669,
301,456,184,761,068,188,640,119,633,782,695,496,551,757,150,691,701,563,877,
462,177,862,954,202,959,767,182,225,184,934,644,169,562,486,367,517,386,148,
937,126,609,654,298,998,359,727,503,067,142,963,915,829,287,953,114,916,141,
628,927,226,231,045,508,292,092,685,233,887,791,942,116,507,189,971,079,608,
825,392,304,560,704,118,081,832,718,621,290,726,890,660,267,766,909,112,628,
599,175,055,076,396,268,550,002,887,886,106,868,695,559,286,404,090,746,869,
378,225,471,441,218,403,860,791,970,719,252,168,945,671,397,053,524,658,866,
764,016,183,851,972,690,590,338,422,864,481,392,002,462,517,918,826,084,521,
296,792,073,406,527,649,261,046,851,038,194,904,317,198,108,997,751,139,822,
994,408,566,939,433,345,095,334,104,584,308,360,755,074,168,404,655,219,065,
765,278,319,271,666,841,415,573,350,931,677,547,882,800,954,243,485,920,780,
934,729,398,760,417,233,257,705,502,847,254,454,508,970,009,177,625,478,088,
079,688,116,581,738,995,063,673,540,317,827,880,816,738,785,988,339,623,103,
228,783,622,876,679,962,039,932,588,880,772,568,839,657,504,919,014,282,961,
040,354,252,190,398,997,119,276,347,680,200,231,588,908,063,891,461,575,367,
725,266,749,708,384,932,043,603,314,597,757,672,786,896,212,637,835,830,817,
836,695,483,997,280,663,353,216,365,338,231,621,092,935,421,705,263,121,040,
645,214,791,759,180,358,715,982,210,176,936,571,123,524,348,366,753,115,752,
030,758,935,858,926,543,745,725,751,557,019,367,089,965,918,786,188,477,897,
187,548,231,635,219,044,988,508,578,121,032,204,383,500,886,664,848,518,819,
355,355,665,571,331,313,820,130,614,841,835,754,191,745,971,605,419,892,661,
876,478,707,643,278,219,585,209,048,707,470,199,147,182,185,956,054,514,535,
289,653,504,013,879,553,542,346,731,372,956,264,164,234,298,534,940,646,513,
744,749,417,736,173,318,638,785,887,732,737,338,588,318,033,282,380,187,308,
703,145,425,822,817,942,154,725,670,354,473,167,209,319,271,843,900,175,904,
874,682,989,927,000,491,968,297,642,127,138,606,058,372,930,860,031,790,012,
197,432,131,517,374,816,071,414,020,909,279,862,281,568,207,851,031,462,093,
902,615,021,093,040,911,831,290,733,525,737,365,809,308,122,537,042,694,559,
880,736,761,902,648,944,588,317,031,377,982,111,802,007,029,877,164,994,791,
321,048,646,316,598,503,542,579,728,010,129,961,973,225,067,614,234,680,045,
662,529,680,852,438,884,103,220,275,599,385,070,676,736,235,111,711,127,307,
117,709,670,478,377,542,248,716,517,289,252,335,995,614,531,054,942,065,563,
758,955,640,268,342,491,445,702,853,140,128,158,388,698,284,321,607,433,024,
628,241,530,750,486,428,340,487,131,388,489,624,933,652,339,157,725,417,110,
764,087,776,262,938,618,570,774,751,806,786,240,756,602,148,192,571,230,757,
901,864,598,888,420,954,065,936,999,285,375,848,199,701,112,946,553,028,993,
019,427,494,553,889,578,365,995,812,926,180,353,438,736,394,170,064,009,935,
082,792,447,188,066,473,397,442,608,613,670,669,160,335,253,408,193,510,849,
929,430,273,388,008,711,709,299,987,752,553,645,527,341,472,032,228,916,629,
059,512,965,771,343,180,852,760,771,960,490,457,996,082,170,612,819,603,142,
273,865,171,704,144,770,517,046,900,772,241,263,841,505,062,572,516,604,232,
081,937,816,787,656,180,222,057,519,199,843,246,285,031,544,168,368,245,297,
027,114,166,963,345,417,899,789,383,905,606,207,479,739,679,712,968,653,887,
406,446,844,514,161,825,240,775,311,338,547,535,939,613,742,418,035,492,431,
008,237,513,923,753,324,820,526,288,472,210,132,281,635,046,554,880,524,876,
487,911,116,298,579,176,966,942,168,658,848,261,145,027,016,167,473,418,394,
243,243,834,214,318,687,099,903,241,220,398,751,723,777,608,950,956,900,898,
047,230,049,939,171,120,404,992,363,064,798,217,061,130,449,844,095,062,986,
686,319,726,048,799,538,506,950,114,884,234,713,484,542,718,554,003,548,651,
632,519,895,091,729,568,198,121,229,935,777,091,727,910,190,096,674,365,886,
704,109,486,571,072,026,315,311,350,521,052,227,560,264,011,624,659,923,799,
251,992,341,565,917,337,115,163,115,420,107,934,620,816,404,480,242,963,296,
803,452,630,856,454,991,450,978,258,337,781,980,606,958,221,798,028,549,668,
509,746,097,574,250,115,618,768,366,401,578,397,180,575,706,897,139,001,689,
560,486,111,964,918,070,029,648,789,380,269,345,793,422,500,699,316,611,875,
658,834,125,393,072,798,570,627,266,847,693,425,940,282,536,331,966,371,088,
818,582,150,988,850,661,326,701,928,786,967,201,234,412,046,560,765,119,966,
502,904,101,909,848,752,007,272,575,579,170,780,318,191,950,476,278,771,202,
969,590,633,450,166,141,758,502,292,414,788,053,952,699,420,932,139,068,189,
496,804,136,960,271,249,405,261,088,643,590,177,503,892,321,894,512,938,895,
995,542,102,525,939,721,265,661,404,258,135,562,076,205,786,522,921,307,443,
832,725,017,027,127,037,415,967,187,618,225,318,675,501,209,387,002,452,014,
966,493,914,540,732,741,163,882,159,258,742,708,999,662,096,658,257,418,364,
386,643,552,447,499,757,550,049,111,142,057,738,968,278,492,748,184,379,925,
534,378,363,854,094,114,577,793,800,924,297,215,453,597,210,282,055,304,135,
665,975,418,081,971,016,920,726,513,791,391,157,250,257,073,840,451,550,094,
904,587,973,798,775,262,817,701,211,900,005,568,892,134,187,189,335,178,487,
108,222,254,212,892,703,215,465,265,583,962,224,750,897,348,435,047,641,949,
980,077,600,492,808,063,025,251,015,485,721,010,118,652,140,456,877,405,812,
288,603,924,060,910,931,248,477,849,097,734,128,129,930,329,593,557,822,080,
657,307,988,172,897,559,497,204,822,092,308,973,924,031,119,128,099,883,642,
567,173,202,145,444,536,229,950,931,273,463,789,530,029,347,312,412,142,423,
215,128,858,386,033,328,687,330,570,166,238,573,698,909,126,236,941,516,815,
085,642,643,802,108,566,251,395,545,493,484,638,820,472,439,303,696,894,424,
005,812,510,865,228,649,054,675,783,267,336,834,892,089,766,453,730,978,202,
913,347,381,204,742,130,171,162,060,743,955,168,475,743,378,800,295,686,102,
013,484,853,978,288,509,183,458,240,218,268,719,036,244,476,081,058,560,478,
383,883,799,741,427,528,172,422,033,427,497,014,455,547,621,627,569,524,165,
454,694,504,865,334,099,489,766,223,172,894,675,253,839,781,796,301,820,274,
288,573,725,632,404,839,241,088,738,503,751,827,628,519,401,055,952,204,586,
876,132,270,332,353,974,364,932,394,646,844,223,277,948,093,182,245,685,343,
094,414,508,307,086,016,774,193,959,859,162,896,639,892,048,725,171,119,097,
506,324,984,846,667,315,441,035,660,291,702,347,067,572,835,669,518,744,310,
651,490,447,430,082,810,831,715,353,177,307,119,955,206,046,029,107,309,692,
429,102,930,700,375,872,188,776,452,132,244,088,092,775,285,929,638,990,652,
067,666,414,115,899,277,761,588,293,130,161,164,744,370,805,991,297,726,625,
557,705,589,238,646,671,561,338,892,526,231,546,833,303,992,548,355,219,602,
654,486,173,105,402,360,695,694,239,151,441,689,907,978,268,224,120,113,639,
066,942,865,790,800,510,138,250,862,279,569,506,939,384,316,383,998,692,350,
604,241,543,982,092,288,948,887,047,350,256,547,792,883,618,984,213,669,094,
513,618,135,372,798,469,530,690,257,656,844,384,068,518,354,865,311,720,565,
025,815,350,866,668,308,723,586,578,778,695,881,860,432,375,522,222,492,111,
738,181,231,345,830,882,157,068,284,928,194,658,549,251,039,158,359,519,170,
125,987,176,463,082,764,970,115,041,630,715,477,280,061,369,629,598,732,078,
527,859,445,971,858,714,744,392,678,347,229,172,161,041,310,626,608,646,619,
847,065,514,647,280,669,395,700,690,487,697,970,769,066,322,361,730,834,022,
864,452,042,085,215,173,980,945,857,119,052,570,172,801,909,835,841,193,473,
516,328,078,518,887,876,891,172,069,560,599,993,974,267,624,157,366,463,428,
239,313,060,694,577,219,110,620,972,195,179,563,296,241,846,733,013,682,440,
601,652,640,526,010,712,320,524,184,297,280,767,138,057,428,311,820,078,749,
071,355,334,883,791,305,535,144,306,556,859,740,976,886,818,476,239,791,859,
740,909,789,237,350,472,919,738,675,714,881,499,655,281,060,331,852,373,218,
236,555,889,471,937,289,145,951,563,279,288,797,117,601,465,527,175,065,762,
784,978,549,797,039,191,733,902,315,089,470,235,587,431,971,748,774,701,842,
041,384,569,075,755,756,295,536,561,772,782,870,304,260,009,504,475,512,020,
460,647,560,870,708,080,885,637,223,954,481,219,852,960,759,844,998,069,133,
068,068,341,521,331,729,963,110,974,458,604,387,090,117,788,736,237,950,961,
001,938,697,645,526,857,151,671,065,686,947,067,519,504,755,369,727,082,577,
024,326,471,781,036,430,804,150,112,522,149,367,327,934,325,326,039,254,242,
343,785,995,828,593,475,298,234,200,454,432,300,732,238,593,568,617,669,796,
868,231,297,817,526,696,836,315,085,776,188,110,725,892,042,823,408,887,919,
540,865,449,079,348,527,166,856,809,401,265,868,923,453,832,438,033,897,896,
934,808,837,062,443,597,969,885,080,635,480,088,002,747,777,387,376,098,382,
352,560,758,305,707,423,867,926,797,140,004,832,756,059,994,665,842,294,717,
604,004,505,905,541,078,887,382,705,882,258,044,696,740,387,460,764,920,251,
412,901,400,691,396,757,209,336,283,364,224,137,572,917,622,962,969,547,446,
240,096,587,995,101,725,329,593,666,777,160,663,210,298,492,812,394,355,328,
744,660,324,874,086,676,019,907,413,839,510,458,836,457,960,760,452,656,679,
386,556,923,013,782,911,736,461,781,439,868,795,615,933,599,719,864,307,245,
639,742,266,900,599,023,497,518,351,210,716,438,548,067,174,392,837,493,994,
885,076,382,449,783,558,417,451,573,269,899,618,048,712,187,348,536,747,058,
164,100,856,597,709,636,215,003,447,273,249,836,772,170,059,479,423,335,863,
631,365,092,660,330,556,840,074,660,590,216,298,544,813,296,336,158,403,012,
599,197,342,576,714,494,080,435,962,453,193,842,020,149,628,512,241,860,864,
029,176,929,948,455,899,443,346,558,526,707,330,970,306,594,837,191,889,898,
033,629,149,550,043,418,466,359,123,668,596,252,575,854,685,570,926,853,879,
097,153,629,753,197,726,485,398,084,982,234,266,547,820,290,103,636,158,461,
974,345,186,441,627,684,456,125,812,016,612,583,455,186,766,527,558,985,057,
785,002,261,291,456,990,987,005,458,678,222,030,978,001,387,648,065,251,265,
471,317,862,897,585,064,260,257,382,910,918,315,865,720,601,976,729,435,593,
177,593,576,700,826,942,791,502,218,979,554,900,589,760,174,854,718,339,180,
795,873,167,055,566,758,750,766,737,392,475,680,899,954,077,741,337,031,316,
591,307,725,922,810,512,407,958,796,651,956,179,495,557,387,334,690,695,969,
768,008,445,656,217,055,706,377,022,425,950,800,414,324,066,998,947,661,901,
019,480,378,868,498,288,149,286,082,507,061,417,482,770,351,703,691,469,421,
547,696,919,788,198,284,195,380,920,432,714,563,524,272,081,586,567,089,433,
305,480,834,742,178,292,517,100,405,768,008,993,308,694,870,211,338,937,636,
981,038,374,888,706,543,744,915,855,843,139,001,577,637,063,915,061,744,166,
310,389,054,814,051,927,746,483,741,243,284,708,191,504,529,093,755,104,002,
877,213,602,492,396,865,804,316,898,576,397,741,030,184,253,309,619,759,903,
916,085,415,247,389,454,167,003,809,236,918,435,092,223,945,879,036,937,488,
814,185,116,200,094,150,071,900,562,752,298,798,628,946,957,480,358,258,455,
438,388,151,578,507,651,560,369,100,453,373,979,153,383,517,353,168,032,947,
545,237,704,030,152,412,721,769,163,492,969,363,132,554,680,442,281,682,091,
693,410,437,243,332,087,635,034,382,159,488,111,025,789,158,381,116,119,732,
684,810,895,619,331,219,780,175,490,928,209,012,583,588,430,022,639,682,751,
390,006,489,170,165,256,368,311,687,761,412,078,605,112,304,055,577,206,359,
478,837,668,465,691,024,753,531,310,488,252,978,838,597,093,639,048,544,622,
858,012,997,587,278,892,161,748,028,927,305,358,890,992,545,702,666,286,696,
593,340,554,583,446,400,798,669,860,458,391,064,584,573,812,514,139,843,431,
654,035,584,648,346,160,996,712,558,884,553,659,649,000,203,432,955,899,684,
143,028,490,716,863,722,604,928,357,017,924,179,774,692,081,097,701,465,189,
461,849,705,260,216,840,250,565,667,710,263,128,842,107,367,732,065,536,888,
840,661,686,367,720,281,479,223,084,611,774,311,149,713,994,662,252,865,876,
648,753,296,538,436,454,226,100,707,646,921,292,144,260,696,585,404,348,543,
067,901,129,914,325,097,463,750,805,999,208,700,484,396,495,856,948,876,896,
868,246,682,147,138,752,373,138,401,910,045,102,684,714,398,487,467,408,619,
266,384,934,363,097,179,124,394,662,234,636,890,180,107,357,919,421,947,163,
723,997,026,898,649,301,920,056,905,316,614,692,254,229,147,286,232,968,018,
317,798,064,747,171,708,093,515,230,517,970,801,763,112,480,037,921,283,695,
330,504,080,328,750,530,903,691,354,466,302,381,578,334,271,866,988,776,902,
181,122,963,562,097,139,167,294,717,081,212,338,213,407,671,077,440,948,956,
570,917,593,157,983,011,614,010,741,360,114,314,701,501,544,587,546,994,263,
639,350,143,589,974,319,592,804,847,885,799,077,960,237,270,593,183,601,198,
555,038,583,875,018,982,185,989,286,886,817,984,768,028,032,155,765,657,262,
242,164,253,966,194,692,286,182,420,354,901,476,869,837,768,630,662,409,723,
917,100,704,727,918,456,298,358,552,667,950,622,979,466,820,244,173,763,774,
091,417,203,541,340,688,413,067,522,671,973,652,388,280,701,344,323,164,869,
249,063,287,139,930,692,620,640,857,012,331,199,139,086,643,225,409,793,610,
599,057,103,579,314,423,206,846,098,226,755,490,069,868,865,401,147,417,025,
873,082,771,077,700,685,892,740,401,796,476,374,457,313,587,412,397,017,419,
859,616,781,265,330,376,927,740,568,314,073,596,315,870,110,293,393,027,928,
631,779,454,409,392,898,336,225,834,460,274,821,170,021,467,154,184,240,054,
205,910,104,342,188,900,191,009,842,822,655,072,073,999,907,219,509,912,857,
913,038,405,434,209,683,474,898,441,381,209,443,004,185,396,431,190,670,762,
985,541,123,394,126,981,459,962,074,036,853,258,532,392,429,273,222,291,637,
567,829,448,858,861,654,275,844,574,970,974,277,781,951,368,829,491,072,611,
461,628,548,270,877,531,147,378,235,387,907,791,141,316,433,882,593,683,199,
743,208,266,890,565,894,925,126,414,792,135,665,444,181,567,061,286,230,648,
080,823,757,863,877,489,302,231,186,952,667,111,353,664,320,810,441,010,410,
540,535,352,694,485,425,600,181,773,088,898,981,367,595,669,945,858,514,390,
614,209,051,832,961,639,644,340,920,235,516,318,179,968,582,785,064,970,245,
076,715,641,352,373,427,818,479,527,554,548,788,793,957,562,463,255,049,395,
555,259,499,737,128,179,618,347,865,310,964,628,350,003,961,100,101,383,282,
153,967,936,846,015,139,462,648,013,704,195,043,479,324,695,593,364,827,860,
015,771,152,974,680,558,061,651,677,529,245,900,508,224,934,159,015,841,383,
091,482,280,664,792,821,513,974,892,673,356,097,096,349,693,053,032,325,917,
161,923,515,976,780,645,574,441,174,843,687,276,360,631,830,534,792,145,144,
198,238,442,549,733,562,411,938,409,790,464,573,897,143,515,020,054,143,641,
032,537,265,557,391,717,300,062,429,657,581,735,446,049,843,189,313,439,597,
695,247,390,037,233,741,491,900,563,064,689,159,282,405,627,205,462,285,511,
789,828,525,451,271,131,842,320,104,377,210,722,203,179,110,688,404,019,978,
004,889,085,438,790,271,787,242,256,372,817,463,839,630,418,657,799,552,507,
911,804,460,099,379,782,883,601,150,945,079,136,472,477,604,799,631,673,480,
123,933,347,802,336,445,804,846,713,144,091,240,565,996,314,859,029,181,069,
444,655,953,829,081,072,375,997,272,803,748,641,973,922,046,068,657,687,478,
011,289,611,447,179,187,907,045,214,394,677,471,227,681,414,638,262,104,584,
439,345,262,875,732,126,085,253,587,145,445,637,461,602,748,867,791,618,838,
264,652,007,089,565,801,533,949,135,484,220,544,972,628,095,993,582,665,414,
602,268,179,537,441,211,342,698,277,455,290,326,498,925,626,010,247,272,478,
704,929,985,753,222,919,365,681,428,648,872,280,724,304,815,339,394,114,664,
558,879,866,065,188,897,998,022,175,233,847,200,093,803,020,715,938,135,382,
025,055,020,549,449,066,277,875,539,404,887,624,993,852,222,976,579,047,515,
009,806,723,970,317,872,482,830,500,453,208,088,729,147,891,437,018,056,349,
834,169,573,676,338,592,282,970,506,132,653,831,070,782,375,705,583,736,365,
782,241,225,443,108,302,575,203,514,700,912,697,817,810,793,545,748,238,384,
517,011,158,058,725,435,538,614,393,926,308,719,123,496,402,696,771,890,092,
207,122,694,335,611,977,473,315,208,012,970,273,074,460,430,705,904,591,742,
236,103,713,025,069,340,466,989,176,941,543,076,161,034,203,084,149,203,601,
999,342,541,058,755,634,862,146,684,672,201,862,239,954,639,517,225,533,979,
314,090,090,472,264,954,211,626,690,790,372,748,436,729,941,416,195,345,516,
097,148,667,960,074,416,406,708,178,748,028,299,719,610,947,544,367,862,771,
985,806,477,231,784,866,155,666,387,231,527,653,157,151,723,370,928,427,171,
724,609,394,608,226,862,564,193,743,520,184,357,798,175,963,273,796,492,891,
039,302,597,957,942,144,567,309,491,514,593,789,229,740,599,889,008,975,060,
305,535,403,025,191,343,518,016,870,324,664,731,985,560,298,899,543,380,806,
627,306,730,502,866,211,540,441,911,044,395,475,913,730,729,632,748,971,028,
367,183,229,894,661,470,413,811,580,151,696,790,742,137,822,512,778,024,386,
397,511,179,262,465,438,485,317,939,723,670,096,855,107,450,905,584,331,913,
092,837,502,523,258,930,885,208,625,675,833,579,947,836,427,699,586,052,511,
748,878,051,194,393,342,915,774,232,400,012,816,443,996,841,153,022,343,777,
803,063,283,764,022,089,659,823,444,512,163,493,245,969,763,448,422,630,127,
227,462,411,093,072,426,323,733,560,530,089,617,078,151,230,597,096,699,334,
281,901,164,189,288,088,461,908,469,503,999,396,431,674,001,663,137,981,093,
908,190,754,177,764,457,016,809,981,111,777,892,693,259,559,573,334,776,941,
141,662,639,932,937,787,681,586,119,008,084,642,387,199,296,218,031,015,442,
313,086,334,486,096,746,769,946,535,257,395,461,943,820,451,115,831,522,070,
868,569,089,858,695,402,080,975,699,314,160,754,256,730,964,114,367,833,330,
199,483,082,970,663,716,804,139,460,834,085,501,033,505,355,253,753,212,773,
435,827,370,848,140,463,368,723,850,146,751,856,803,438,147,864,852,931,871,
872,098,272,241,289,980,064,647,636,600,390,651,801,653,438,631,597,496,021,
851,780,794,866,215,899,220,977,631,307,649,518,453,273,045,789,343,356,767,
627,782,299,808,700,620,530,692,227,951,089,400,168,516,511,641,088,318,738,
660,701,960,634,325,435,339,010,258,640,538,349,014,387,118,466,860,704,391,
567,412,639,332,597,729,123,470,758,434,368,429,774,710,214,795,492,936,508,
497,521,379,306,880,345,152,024,655,472,359,454,926,432,270,612,763,919,325,
680,841,111,910,758,598,909,554,207,177,281,952,879,250,049,709,245,533,431,
931,503,882,285,696,552,082,479,225,713,246,844,723,714,491,025,979,623,710,
542,007,756,029,790,475,487,214,206,762,785,212,483,071,188,508,655,060,506,
100,883,322,834,572,010,653,190,627,282,539,849,105,487,516,614,542,232,127,
815,686,868,114,173,066,429,171,976,861,117,640,184,426,684,946,146,408,763,
127,683,842,668,301,021,885,956,733,437,972,124,328,022,000,956,152,101,267,
337,268,144,406,085,408,330,664,057,131,622,699,646,409,198,716,467,912,985,
285,518,973,865,774,724,338,766,598,927,714,573,669,401,144,198,106,478,922,
123,596,065,563,469,554,639,289,020,206,109,269,441,625,665,717,461,571,011,
339,764,496,086,751,489,452,723,164,183,840,919,961,558,635,661,985,533,666,
587,359,799,845,770,292,696,025,307,806,504,304,589,918,931,707,921,083,203,
839,677,438,575,178,609,802,983,832,313,910,297,013,018,037,162,306,990,484,
586,976,095,067,519,805,844,474,746,047,925,783,117,739,646,615,791,662,663,
507,289,670,821,724,526,062,238,551,859,338,388,196,552,713,185,692,931,365,
037,536,413,792,974,192,870,221,055,041,288,166,155,325,410,466,493,251,747,
006,882,662,722,315,051,331,960,185,807,398,893,385,104,906,450,972,863,173,
770,732,965,305,924,582,839,557,530,234,056,759,152,004,301,887,521,380,407,
972,562,277,467,314,669,471,175,995,094,270,641,507,216,060,040,090,196,158,
979,319,159,929,113,278,362,415,772,694,668,884,025,018,825,774,391,704,376,
060,814,226,825,837,150,490,436,716,528,402,430,560,019,632,300,904,904,912,
723,759,758,614,707,993,151,679,287,646,891,535,353,813,891,797,132,124,465,
029,124,576,051,357,689,165,379,277,514,075,723,886,537,168,668,257,474,883,
204,966,482,137,565,800,000,450,404,097,782,603,483,833,736,751,549,962,083,
647,064,313,388,065,236,067,704,310,458,415,487,743,410,259,405,944,852,581,
635,147,792,276,768,972,748,865,563,832,702,534,035,854,877,815,494,663,434,
524,910,081,577,530,797,804,788,236,623,094,710,418,027,983,898,648,645,328,
483,973,569,068,303,247,597,980,942,366,477,561,460,944,469,692,080,856,091,
407,683,844,662,597,969,886,653,863,881,945,410,608,849,306,662,949,184,366,
737,659,967,331,378,113,815,995,057,846,577,963,424,591,705,570,495,151,597,
058,230,221,666,069,774,681,932,735,926,593,300,211,310,119,536,386,258,120,
362,803,736,055,737,957,448,160,689,796,674,921,651,032,514,437,580,058,774,
122,032,916,244,720,371,039,857,810,444,743,566,851,959,703,235,225,713,162,
883,663,744,841,493,473,240,944,415,858,968,479,240,500,224,569,199,926,793,
595,764,259,500,061,824,145,191,639,399,291,711,438,271,560,443,182,920,307,
941,195,546,183,905,337,220,418,274,070,651,842,110,448,546,135,946,034,855,
823,198,934,556,043,953,943,527,969,890,823,172,534,351,357,262,724,537,906,
532,670,491,036,099,576,637,420,207,323,916,093,095,835,330,254,556,384,910,
322,545,243,102,494,713,772,677,218,269,328,098,249,529,687,453,443,917,071,
812,120,115,883,461,637,790,707,813,456,649,001,232,985,583,053,764,501,816,
439,988,544,700,764,170,117,966,515,256,580,966,033,221,182,317,146,053,339,
326,026,465,379,894,341,926,824,343,952,144,435,760,792,165,496,464,627,893,
839,642,063,856,233,720,164,627,785,824,922,740,405,470,679,430,866,017,963,
694,521,799,900,817,551,369,196,206,137,319,075,854,988,501,291,943,223,086,
553,270,328,806,308,840,778,336,358,327,932,308,093,382,357,096,534,910,121,
616,164,980,123,585,927,415,385,475,404,023,611,657,806,343,053,068,816,678,
791,768,837,645,178,750,617,760,473,094,252,211,183,941,500,386,018,940,900,
389,023,978,940,320,626,646,241,057,739,371,364,422,528,372,416,959,774,638,
771,719,370,690,557,785,852,599,970,561,617,573,380,230,193,088,019,975,067,
637,834,577,082,628,255,994,083,816,900,501,303,048,653,113,777,480,644,125,
591,950,365,248,576,134,355,287,686,203,037,766,809,843,561,413,247,901,910,
072,579,454,303,816,608,762,636,388,470,310,971,512,740,694,681,636,928,055,
596,491,527,425,117,065,761,032,772,362,510,947,843,671,409,083,930,189,607,
451,025,051,116,940,131,860,989,332,956,681,684,580,214,466,895,116,771,181,
921,051,697,525,546,849,397,351,848,683,956,671,236,319,827,392,943,051,651,
456,497,697,890,177,245,069,539,145,779,674,677,826,158,506,603,360,191,539,
548,513,714,245,316,790,842,210,001,032,613,904,756,983,926,374,802,446,685,
470,770,370,390,461,689,019,730,144,463,961,841,398,612,485,281,472,289,845,
793,818,560,734,277,064,772,644,152,255,348,145,783,200,351,479,836,978,123,
796,590,583,108,262,062,656,085,066,093,052,347,876,928,503,065,234,769,560,
052,117,811,564,836,872,234,378,310,476,479,670,472,920,680,024,872,410,087,
904,835,477,262,753,066,900,990,120,785,132,501,378,631,370,127,381,315,529,
279,398,319,797,009,340,145,543,731,577,880,810,286,835,540,134,526,597,471,
241,608,251,586,315,388,445,375,188,920,927,108,753,595,590,527,158,905,546,
643,531,127,766,890,662,961,554,322,605,694,580,073,395,081,659,631,388,243,
464,196,700,695,895,382,984,348,290,243,672,123,870,042,883,506,678,476,900,
509,491,212,837,567,106,025,373,757,679,634,788,763,636,671,685,880,545,885,
936,141,615,356,946,043,061,250,126,759,637,037,484,225,685,300,881,648,095,
670,710,093,563,587,675,878,441,563,866,480,202,235,208,271,055,201,206,821,
715,218,109,058,791,247,411,616,096,429,913,551,674,727,475,805,071,258,662,
874,659,051,688,932,601,400,515,480,436,300,918,390,875,370,488,460,133,136,
040,312,524,289,837,454,657,361,530,652,619,259,369,988,113,306,221,855,602,
180,168,266,185,193,006,311,669,065,845,850,138,295,947,910,680,904,000,348,
006,356,011,930,650,653,517,656,323,492,409,439,732,291,775,956,162,578,022,
016,886,428,947,993,361,490,984,702,831,567,135,255,581,289,282,335,807,978,
928,321,771,033,489,581,667,078,884,567,977,727,149,072,336,554,300,159,490,
882,615,147,687,514,834,659,634,469,015,327,501,172,691,471,835,362,985,220,
606,141,278,670,062,002,377,375,124,879,605,753,360,795,971,837,439,749,913,
057,512,134,707,326,881,923,084,318,114,266,853,950,620,144,079,474,206,478,
712,460,229,551,040,730,231,933,494,821,571,446,024,549,835,291,185,953,915,
326,621,373,584,121,016,331,982,223,872,332,015,583,756,074,275,061,887,048,
368,820,616,803,067,069,021,887,160,313,483,544,650,905,658,126,063,929,836,
186,784,627,458,836,364,556,617,730,475,271,134,494,347,842,543,921,313,276,
228,035,008,493,535,971,878,000,248,263,164,473,106,886,228,719,440,727,893,
048,098,795,770,135,119,031,626,426,546,205,794,865,650,725,731,816,789,015,
717,175,238,636,920,348,410,199,107,528,521,889,282,876,177,911,261,252,682,
940,720,667,073,427,940,196,249,856,463,842,644,655,186,294,026,174,182,862,
828,675,821,992,421,162,127,383,486,458,935,347,914,240,251,056,753,525,658,
490,563,513,357,867,204,260,791,973,718,058,303,813,977,638,266,481,547,873,
157,442,414,406,967,094,222,974,030,781,903,881,156,025,768,977,582,849,848,
433,631,478,445,584,248,871,889,834,291,833,563,255,938,237,916,980,773,783,
580,082,319,778,804,170,667,457,329,001,641,297,647,766,998,150,367,354,328,
871,669,902,862,603,638,391,421,115,696,650,008,806,559,587,590,304,526,153,
701,799,124,064,168,960,663,502,085,566,173,966,491,822,420,406,569,647,857,
372,806,192,246,464,580,879,730,018,845,621,652,358,430,405,025,932,800,048,
865,794,311,746,646,028,726,448,410,978,452,173,456,941,595,128,309,546,825,
260,989,286,117,132,843,836,783,990,679,734,578,983,969,055,706,041,108,574,
208,165,784,465,132,214,781,825,825,732,182,518,186,116,095,928,153,217,855,
301,371,884,453,686,635,525,758,907,920,951,523,363,227,584,177,531,064,769,
318,687,863,264,400,248,336,402,475,143,597,264,701,403,021,653,474,505,488,
102,342,156,440,044,574,115,526,119,622,953,251,960,404,192,711,021,880,578,
189,994,141,133,867,037,582,193,659,915,319,102,698,122,387,274,866,730,681,
114,163,568,065,250,093,452,017,559,210,572,677,115,388,291,671,910,037,820,
352,924,328,297,961,792,672,776,839,699,230,120,874,830,002,176,334,478,086,
891,052,518,218,436,768,422,413,717,598,910,730,426,553,422,600,912,103,099,
631,663,355,984,267,303,155,000,503,464,306,970,222,708,491,601,869,655,277,
801,829,476,936,783,453,088,139,516,707,453,415,276,556,238,913,389,679,879,
131,797,980,983,187,694,363,519,915,153,675,509,425,721,154,051,113,504,821,
933,194,890,908,181,842,453,735,867,793,569,123,456,350,158,718,747,301,733,
780,922,454,109,892,648,601,657,438,800,891,231,676,546,421,100,732,399,453,
810,235,317,675,906,673,744,122,320,108,645,526,708,340,193,122,195,339,324,
979,204,512,005,815,150,033,267,001,403,518,606,861,492,744,632,424,095,304,
243,546,076,596,340,541,910,047,983,126,557,036,023,221,844,030,762,037,488,
473,119,185,850,960,917,300,379,882,039,208,318,501,619,811,876,111,163,033,
919,175,749,071,092,650,786,298,751,261,322,394,537,085,500,211,345,304,594,
715,413,247,903,292,097,060,477,336,073,505,391,268,958,558,825,392,686,455,
568,893,612,385,621,711,180,100,874,793,145,851,036,251,788,034,936,673,553,
354,553,784,514,433,260,757,122,179,908,152,075,888,248,912,332,020,229,023,
818,781,760,504,419,306,768,298,864,484,512,119,435,061,426,141,089,842,736,
576,810,822,140,887,396,345,485,770,220,843,099,248,018,430,361,576,409,128,
890,934,571,428,086,604,863,619,015,133,846,041,526,595,842,742,456,216,959,
341,895,349,605,629,473,530,825,262,531,006,627,959,972,339,729,054,542,317,
402,811,072,515,768,135,678,714,874,343,769,106,000,682,724,661,779,793,874,
758,963,958,432,473,014,221,471,348,349,242,480,463,843,343,675,947,718,733,
103,002,163,401,066,637,526,256,114,868,559,851,120,680,253,244,321,611,039,
479,858,017,974,831,979,365,468,041,197,915,419,462,245,016,509,474,339,258,
591,455,220,086,604,244,838,507,908,009,338,255,287,810,428,460,582,876,805,
189,342,847,182,324,631,332,097,109,955,022,531,401,991,920,719,450,211,412,
359,691,576,299,513,841,960,864,407,767,250,767,939,379,472,654,723,873,535,
962,140,567,467,667,324,066,298,401,606,550,087,275,475,778,790,571,275,633,
981,092,243,344,352,950,651,608,306,700,933,084,748,944,661,567,816,352,884,
383,572,519,466,047,805,415,245,999,724,829,971,046,020,559,023,392,827,860,
206,731,236,136,674,888,376,235,862,349,539,717,843,121,999,389,902,055,797,
446,879,032,639,709,115,180,850,165,710,040,377,417,158,024,247,155,289,532,
145,902,620,464,004,238,195,904,233,959,877,294,720,610,742,891,272,259,849,
485,016,059,152,198,726,450,242,637,133,799,933,612,217,087,236,414,753,484,
784,030,983,637,730,708,226,147,535,713,164,750,861,220,802,848,736,126,668,
960,411,029,453,189,707,879,320,509,187,494,591,269,231,335,122,345,040,001,
636,147,872,096,941,840,847,145,925,032,626,292,768,972,087,711,572,178,803,
520,585,342,256,627,909,587,845,213,145,824,626,498,442,937,244,276,171,059,
137,267,449,374,436,568,662,576,895,376,908,163,168,738,255,423,250,031,023,
365,161,559,463,957,622,371,648,389,100,473,800,425,794,597,516,584,022,483,
221,317,171,266,752,145,914,230,028,098,171,553,811,613,602,723,145,714,155,
849,304,972,108,297,995,864,422,759,085,239,728,894,517,043,121,164,996,496,
480,059,371,071,372,393,255,517,973,386,524,199,884,352,361,596,430,267,947,
852,184,785,467,489,852,905,586,134,232,355,486,015,069,440,349,403,972,290,
309,945,819,049,995,263,044,843,570,786,490,577,644,022,508,661,713,902,580,
042,488,658,227,639,006,274,632,404,709,342,989,250,246,721,379,197,377,420,
444,465,427,511,624,753,045,836,074,289,658,352,102,468,271,159,929,597,415,
532,563,289,360,232,045,404,095,618,024,520,570,466,740,755,830,755,349,438,
007,196,995,106,972,215,189,977,454,477,589,964,642,322,846,496,050,089,440,
171,385,730,084,144,384,940,789,236,536,946,238,264,693,511,779,408,971,220,
431,800,270,359,963,631,376,762,775,403,922,297,672,865,372,335,873,727,758,
540,909,467,803,355,024,285,529,115,634,351,955,160,963,603,596,028,320,528,
041,810,107,144,226,619,840,270,623,070,865,477,707,538,740,416,636,838,946,
125,361,646,041,250,200,742,923,418,316,856,143,096,582,514,236,609,329,286,
158,842,267,849,875,301,913,070,309,406,875,758,316,403,126,580,872,732,401,
615,926,293,807,098,278,438,706,727,126,636,913,448,424,273,239,333,776,771,
797,354,044,841,271,592,982,779,848,115,515,913,928,361,938,100,727,998,410,
145,899,929,123,684,672,709,342,863,563,451,651,769,197,272,935,568,614,849,
412,479,078,225,581,950,234,076,034,969,834,645,379,055,382,005,125,509,715,
219,425,113,731,721,485,955,862,351,694,678,917,222,054,746,611,416,966,978,
527,392,084,940,579,320,835,299,556,707,556,052,235,174,199,358,586,432,308,
454,708,394,310,016,065,473,721,756,774,459,298,262,196,315,297,627,348,968,
094,693,577,435,382,484,320,738,252,308,758,324,588,292,020,654,640,069,410,
294,863,261,815,296,668,816,333,296,526,839,911,466,311,007,940,877,331,489,
652,269,497,175,982,054,075,862,592,941,925,815,115,006,390,769,971,890,915,
575,130,643,421,003,348,068,559,658,583,216,338,584,176,992,046,289,484,898,
151,879,095,757,398,925,862,015,329,921,105,304,691,224,997,973,119,607,664,
547,435,449,765,306,713,476,655,036,927,369,023,773,256,476,931,891,056,094,
902,479,201,217,813,715,051,447,863,062,765,342,406,272,483,941,493,166,133,
737,166,885,269,113,173,073,228,190,389,724,412,017,351,164,786,018,040,233,
837,413,059,726,715,761,079,681,757,111,961,199,282,839,569,360,920,714,165,
637,711,176,017,151,443,801,918,522,860,034,157,050,785,630,362,913,371,577,
190,307,106,258,933,814,426,509,361,300,695,118,108,566,212,406,254,540,381,
554,886,055,416,110,602,117,298,773,638,955,015,583,788,487,721,827,545,178,
543,243,097,733,428,438,641,170,478,148,920,017,758,409,358,779,097,227,279,
063,040,552,148,204,721,856,328,765,256,342,005,878,482,578,354,935,752,425,
908,497,655,698,593,953,778,003,956,864,955,963,699,855,893,171,382,151,588,
965,512,738,730,766,881,052,690,160,243,575,090,208,024,485,157,655,814,583,
471,967,162,601,659,474,540,618,936,657,222,778,243,278,293,144,838,299,957,
254,974,607,992,560,768,321,012,336,052,399,887,507,074,270,604,124,911,760,
895,062,944,531,427,801,812,021,921,002,334,606,632,478,856,166,433,450,925,
616,821,554,866,460,798,501,903,348,181,804,364,007,926,046,918,328,112,188,
561,681,687,603,687,354,166,792,500,339,139,314,721,233,168,122,861,131,766,
831,137,395,994,440,890,264,096,922,376,342,925,737,696,126,140,052,863,029,
470,965,275,884,557,418,489,718,304,086,816,843,450,690,782,147,887,566,393,
750,843,344,542,895,544,221,832,230,145,835,659,720,612,194,448,524,722,463,
282,233,709,851,650,430,814,890,873,383,130,350,002,728,980,816,233,452,764,
224,983,170,954,573,974,695,581,830,049,643,738,786,982,338,281,306,849,281,
162,523,041,784,737,652,359,415,849,188,941,627,254,691,329,276,647,710,164,
917,323,922,180,695,960,217,613,329,745,778,748,840,273,573,899,239,375,210,
398,341,399,354,865,738,323,119,257,457,204,184,239,468,265,959,486,845,402,
811,978,390,501,867,012,750,822,353,062,319,420,193,736,376,122,868,710,723,
424,861,548,004,279,497,621,849,845,407,163,980,305,272,014,340,866,431,755,
899,772,931,426,795,428,767,613,076,011,447,607,257,577,328,597,882,440,572,
242,406,938,512,159,840,457,184,268,472,495,428,662,421,158,781,830,352,628,
897,460,253,114,535,865,919,777,655,949,495,933,532,751,064,349,852,723,689,
443,679,000,898,441,191,148,865,506,760,623,153,474,504,406,652,816,178,983,
329,299,747,260,632,558,298,071,843,906,280,489,138,386,997,374,435,408,315,
336,069,217,732,442,544,117,895,137,588,679,017,513,964,632,040,661,781,760,
804,089,244,819,201,368,522,294,013,828,221,408,977,579,671,918,114,865,000,
277,227,272,284,067,538,469,207,399,441,253,946,885,038,115,173,921,661,472,
044,946,168,591,350,339,025,261,057,578,109,429,886,678,205,751,379,168,605,
076,807,697,616,159,768,101,732,555,978,576,147,796,022,836,037,683,818,227,
518,168,148,090,279,917,083,569,186,687,759,205,877,818,794,403,309,419,828,
943,667,572,808,021,925,544,961,790,321,940,753,307,064,443,915,436,976,050,
740,138,774,137,916,041,705,266,020,384,594,619,186,453,939,923,974,265,381,
352,122,867,603,978,481,288,656,714,035,674,598,643,718,773,051,397,410,486,
128,865,520,289,383,216,498,555,375,953,562,593,560,949,957,798,984,623,021,
828,766,711,892,619,866,087,240,821,990,485,477,745,832,610,153,003,470,309,
799,880,298,790,410,676,319,621,787,331,032,430,081,611,965,551,053,828,290,
796,227,749,427,064,928,401,313,003,892,896,583,266,043,372,719,644,631,840,
614,103,119,595,511,415,296,999,244,750,963,412,907,831,320,667,124,743,255,
841,331,418,012,299,250,067,712,027,128,880,858,844,899,318,452,374,635,927,
827,956,144,193,513,665,339,976,618,968,567,683,469,433,785,490,305,403,092,
021,935,950,328,622,558,311,995,775,588,553,611,833,778,413,008,845,498,252,
232,740,386,414,442,171,772,390,975,566,466,703,881,052,025,264,730,124,067,
368,263,011,893,729,997,484,407,141,176,127,446,307,633,455,180,456,752,178,
255,863,043,243,546,160,478,172,382,823,673,156,246,871,358,088,167,646,595,
760,370,100,376,534,456,943,415,758,389,092,069,995,819,843,582,866,709,487,
096,296,176,177,177,319,151,573,001,799,152,582,918,701,959,981,160,085,390,
323,431,315,168,340,916,253,509,568,904,865,140,197,126,037,947,474,760,492,
970,134,978,262,621,366,755,242,511,523,943,868,664,078,457,393,026,746,270,
851,873,891,203,928,235,456,982,082,395,081,342,832,733,593,983,876,274,615,
243,652,463,544,261,679,491,282,892,555,742,160,700,296,197,464,798,902,332,
262,575,352,045,330,171,745,404,211,541,989,360,099,109,119,780,796,493,685,
826,089,977,308,810,326,825,276,457,073,114,809,402,396,215,250,795,809,726,
099,746,014,452,823,178,216,724,579,194,040,094,267,127,399,306,104,683,247,
980,516,216,425,680,207,282,748,075,308,161,075,337,279,116,047,226,385,553,
093,294,784,298,837,258,515,634,021,371,661,653,985,265,072,217,694,982,607,
260,368,581,232,328,371,552,829,605,600,929,856,923,903,866,226,622,904,998,
487,324,371,472,316,561,299,923,361,589,417,095,236,988,573,353,302,854,027,
691,613,189,192,730,886,536,450,101,208,471,556,978,607,360,914,179,110,346,
414,053,819,548,002,885,688,127,541,303,690,090,032,211,899,207,967,190,583,
349,931,883,826,518,400,031,534,041,524,092,079,797,998,606,701,242,685,478,
444,180,518,751,737,347,157,300,999,277,099,992,580,064,194,759,048,696,969,
481,061,557,485,732,165,166,533,437,416,513,853,389,874,979,600,840,535,484,
333,593,998,963,700,628,133,613,723,038,911,339,945,659,207,751,599,542,120,
035,566,797,997,916,279,647,242,333,457,104,893,020,791,602,937,949,749,042,
136,370,565,841,164,426,814,014,485,044,832,499,866,137,249,621,373,849,433,
566,560,075,289,673,574,563,009,867,029,942,738,811,971,522,920,326,409,118,
004,632,365,515,480,101,285,690,550,114,783,789,197,232,179,735,836,460,348,
869,788,792,898,066,814,429,500,024,043,224,820,971,501,353,618,227,672,583,
224,052,164,170,135,815,841,068,179,234,430,997,992,447,666,536,976,663,689,
198,095,695,165,193,654,231,393,840,789,824,030,079,115,634,907,191,897,422,
066,239,827,828,964,070,439,243,462,888,346,026,447,075,519,890,694,505,844,
535,914,037,727,635,554,193,339,536,284,316,855,319,398,804,497,856,813,203,
082,120,568,006,861,685,808,601,635,042,650,494,007,169,299,715,137,556,530,
424,835,025,411,475,353,895,306,600,426,115,748,163,348,717,434,941,111,282,
688,436,030,148,553,720,580,838,207,829,016,726,862,646,922,478,353,976,230,
417,561,125,997,121,421,092,563,352,195,761,669,102,270,492,422,158,874,342,
947,087,275,642,387,273,002,126,467,689,135,449,102,215,860,061,013,490,336,
522,166,656,335,759,078,892,757,391,460,489,020,220,014,259,865,125,067,387,
273,415,260,825,822,051,438,847,716,665,937,873,221,198,865,279,755,559,964,
159,595,470,013,213,390,258,068,536,911,960,223,219,017,378,390,039,709,410,
733,009,985,665,933,572,765,130,147,744,120,030,208,177,693,497,152,600,788,
214,203,366,353,840,099,416,430,193,957,002,351,491,957,678,670,111,897,088,
382,095,708,967,694,600,095,311,412,931,559,823,726,822,069,156,132,167,057,
845,761,825,056,129,130,990,222,549,246,891,715,258,719,441,294,477,623,723,
755,980,357,903,561,253,363,591,101,494,608,372,278,558,900,545,076,568,248,
218,427,815,202,445,131,465,302,123,617,510,324,241,605,683,753,911,322,131,
271,723,532,627,377,634,683,441,264,229,853,511,423,687,985,028,885,656,878,
010,046,047,130,341,694,671,841,417,233,053,115,011,959,040,652,670,205,314,
810,184,863,429,600,273,208,295,706,811,462,266,907,014,263,085,981,766,478,
722,721,458,963,958,214,353,103,645,555,725,641,369,216,586,042,083,828,147,
374,923,654,766,247,453,161,330,991,641,590,076,897,796,034,186,952,130,489,
584,140,414,731,058,024,537,540,543,878,387,861,222,238,153,572,489,053,812,
467,943,752,298,977,259,639,812,879,343,630,859,364,883,684,271,966,538,244,
667,461,703,103,444,705,808,082,269,806,383,795,277,476,420,795,643,495,193,
386,081,429,479,350,819,991,859,217,487,994,305,501,053,638,485,892,202,360,
881,759,770,846,863,724,687,403,341,522,897,602,675,636,265,183,450,923,697,
315,481,417,474,319,500,650,711,006,643,080,086,961,594,251,220,013,518,400,
012,485,049,425,744,798,557,505,815,466,893,567,863,586,422,344,977,451,239,
109,168,175,890,232,305,160,553,193,107,224,135,254,547,189,778,519,751,061,
215,258,862,756,159,078,884,414,333,586,323,127,969,737,897,987,993,316,212,
213,988,417,157,588,411,720,998,169,727,041,845,300,788,853,313,659,397,560,
506,825,532,580,950,711,211,964,904,319,938,623,948,927,847,891,845,119,886,
405,064,684,618,259,141,865,487,593,887,140,922,999,457,937,521,408,701,561,
108,288,597,962,151,099,988,364,752,140,540,493,611,988,947,993,307,603,753,
111,226,302,422,624,537,589,786,404,322,522,963,899,472,713,493,956,086,333,
631,179,529,559,687,689,229,806,435,851,974,749,974,483,382,242,696,263,287,
651,458,261,914,453,891,295,138,073,192,048,331,751,733,555,698,872,097,138,
963,957,522,091,770,586,964,428,776,571,491,129,085,528,607,019,096,619,286,
612,127,565,528,256,286,925,708,188,888,751,005,646,762,189,689,503,723,344,
452,825,409,380,082,466,873,413,079,943,298,241,375,923,387,423,334,174,508,
458,732,951,678,368,809,963,777,627,235,455,534,942,964,287,047,968,986,018,
938,118,113,204,345,550,028,163,584,694,642,175,745,452,002,711,471,307,043,
059,944,586,862,719,039,072,142,655,101,285,654,904,710,344,402,905,193,531,
833,403,056,509,160,588,330,358,332,359,353,445,266,294,515,344,777,281,564,
955,072,864,185,230,782,073,718,485,961,313,050,627,485,644,280,649,044,477,
760,233,037,772,034,977,363,907,698,861,614,389,808,382,465,554,122,604,094,
074,103,506,296,194,333,563,583,820,174,749,653,314,313,116,341,707,903,613,
621,052,562,515,039,261,195,640,246,241,674,224,113,534,820,663,210,611,224,
026,278,624,859,273,758,015,036,904,957,476,221,354,082,160,618,474,950,079,
836,719,789,576,051,368,220,578,394,474,884,499,926,955,617,419,928,127,351,
191,730,550,691,501,212,432,641,131,092,680,476,405,528,544,027,604,858,575,
272,360,604,582,440,749,466,856,285,136,924,588,900,805,165,762,344,958,036,
847,381,250,092,290,102,044,136,629,183,163,817,326,543,284,507,796,312,540,
611,138,466,442,637,259,354,878,479,555,833,100,824,769,133,688,959,685,232,
322,931,787,360,313,333,164,892,285,912,646,855,626,439,865,868,116,990,502,
644,474,084,152,114,480,806,896,455,947,409,296,380,887,109,469,959,013,145,
943,748,811,563,353,259,972,186,566,818,935,208,504,391,783,660,296,096,302,
190,322,943,942,843,925,278,818,389,464,972,677,676,297,950,389,899,387,314,
216,425,705,172,394,065,497,539,090,460,175,762,410,495,667,138,396,601,876,
022,928,219,561,817,293,602,169,164,256,083,814,438,933,504,373,504,879,129,
599,302,611,120,414,266,941,330,634,883,057,250,411,171,058,975,877,158,143,
264,182,187,446,393,735,806,717,393,806,788,329,723,180,306,802,348,497,382,
636,083,217,130,959,736,901,720,335,273,529,626,478,331,144,191,323,837,098,
765,896,138,041,701,825,174,372,017,706,999,971,869,542,340,960,547,524,542,
607,952,793,476,087,627,172,410,488,135,949,921,419,850,224,715,371,234,681,
357,277,603,078,289,803,994,105,424,613,045,601,358,833,582,438,954,657,077,
023,469,725,270,139,629,306,715,340,799,283,857,296,287,240,701,644,978,568,
590,415,937,515,543,432,601,662,718,217,680,534,665,159,559,805,721,257,449,
078,078,255,870,364,973,701,444,116,409,915,504,567,434,099,652,557,634,316,
745,180,394,632,612,375,917,982,683,154,498,367,705,188,495,173,467,477,987,
410,192,121,146,438,004,795,746,034,346,635,252,355,723,513,639,377,792,744,
303,883,825,480,953,768,359,256,578,551,506,641,242,916,452,001,816,013,006,
063,058,092,313,399,207,204,692,205,290,720,018,276,610,816,586,100,325,886,
755,418,959,899,140,591,674,210,501,963,241,398,318,448,283,849,148,927,708,
998,363,564,425,808,492,492,384,357,890,872,451,185,578,485,914,489,640,559,
163,350,785,012,502,053,732,790,709,504,369,708,199,898,315,125,106,100,181,
615,107,552,376,913,280,318,908,800,362,307,903,014,988,136,218,110,782,944,
335,481,110,464,348,418,412,772,996,147,488,282,372,920,534,552,688,773,817,
200,818,390,374,151,850,137,357,270,045,149,666,055,863,106,053,275,248,316,
297,907,997,657,569,923,949,771,902,148,353,368,954,728,347,442,106,230,274,
884,818,185,132,599,145,662,672,838,086,318,141,665,746,098,136,007,621,986,
971,219,879,330,733,605,858,666,707,928,617,663,831,752,912,651,375,981,057,
338,515,894,009,875,197,693,657,750,184,512,541,600,942,963,252,600,187,417,
826,574,660,821,530,901,246,554,335,773,114,546,001,038,806,584,273,771,804,
741,945,346,593,559,584,826,096,428,157,823,306,718,032,227,154,918,466,892,
471,984,503,716,355,820,415,578,120,731,533,074,613,931,497,252,359,739,962,
370,572,540,723,467,874,264,401,958,781,969,658,315,352,216,263,923,950,484,
350,968,895,579,275,686,520,666,441,243,547,248,161,634,886,877,323,823,287,
628,878,699,832,724,279,713,060,453,094,122,257,896,326,915,063,308,519,124,
230,089,519,523,759,296,046,279,580,288,912,113,423,256,435,912,091,918,227,
794,626,486,123,905,452,215,246,847,670,072,443,663,597,491,422,811,705,157,
122,583,544,784,011,134,739,409,852,378,916,072,276,721,658,267,737,641,268,
181,587,038,583,694,131,869,679,660,608,200,882,759,564,696,337,168,984,795,
707,561,340,097,633,178,242,596,142,425,359,978,618,685,147,994,162,282,061,
980,837,711,069,268,064,842,371,660,213,737,416,648,156,303,180,351,187,907,
456,707,085,688,555,958,321,420,757,598,228,134,362,995,926,126,596,417,654,
553,899,764,816,070,425,521,898,512,317,617,889,441,249,283,510,385,354,624,
542,710,411,829,439,319,108,498,464,000,735,465,398,815,459,819,361,948,439,
741,705,915,032,925,082,124,509,244,066,742,972,920,202,480,967,490,527,791,
326,531,560,729,223,276,726,053,282,817,122,401,405,663,396,737,577,067,845,
402,286,753,984,844,737,746,427,723,360,133,292,348,192,741,489,028,508,441,
837,986,626,064,594,557,296,558,554,698,452,721,116,058,342,397,349,851,045,
426,342,430,792,936,382,691,486,120,478,762,177,576,324,589,368,997,687,427,
383,407,783,557,040,740,954,063,235,282,332,666,626,786,794,078,138,223,445,
269,731,397,768,665,963,077,901,352,075,153,861,864,999,760,368,828,412,701,
730,939,524,860,944,304,455,752,898,745,965,445,585,689,099,249,075,719,247,
602,224,657,139,446,776,948,545,878,479,442,557,141,624,450,598,787,875,851,
247,140,607,911,442,745,907,279,173,441,586,994,396,872,480,931,366,744,511,
050,147,575,008,069,551,448,348,965,723,638,900,191,921,880,828,984,143,537,
014,761,740,691,995,986,135,740,739,807,634,495,008,423,537,773,715,056,825,
968,271,981,743,963,261,432,424,459,743,634,756,854,859,246,496,790,087,338,
000,266,668,060,124,982,687,669,473,746,533,375,490,883,331,195,738,633,524,
888,449,421,036,986,291,909,072,470,836,828,560,733,009,908,408,972,753,692,
217,556,504,779,008,700,859,402,208,752,026,679,205,797,055,220,970,698,830,
674,950,983,994,650,932,289,359,110,687,116,476,995,898,209,286,949,450,571,
466,369,894,192,857,571,551,549,334,786,628,442,265,782,273,407,144,563,147,
425,828,155,676,551,289,129,287,075,092,301,760,048,295,021,930,778,682,547,
294,776,464,250,905,386,239,821,441,950,948,725,947,703,278,619,383,758,394,
009,983,320,067,463,672,833,763,538,684,170,123,559,628,063,264,597,172,008,
946,708,418,099,884,808,554,761,210,655,837,414,425,040,886,770,787,621,057,
507,515,141,865,589,487,646,712,877,921,910,240,678,914,556,373,976,835,697,
348,895,435,408,459,895,065,481,063,543,563,372,961,613,715,288,613,107,152,
973,905,551,385,578,359,685,621,994,164,181,872,777,208,353,834,498,989,140,
091,238,187,392,993,332,094,917,122,567,451,508,537,104,096,866,386,181,591,
327,134,698,189,315,123,451,055,945,070,884,970,563,136,302,759,187,121,300,
168,640,947,432,764,450,181,227,347,760,509,525,714,454,402,321,613,733,755,
964,371,760,617,192,229,836,812,108,694,726,762,198,801,187,811,363,076,306,
225,391,148,959,133,292,011,064,099,577,169,101,560,760,496,613,885,014,143,
427,810,103,064,080,552,656,490,894,708,486,631,728,265,513,824,100,090,377,
501,042,235,451,835,245,359,318,366,974,870,410,764,159,592,121,870,925,238,
818,951,027,475,923,848,826,064,582,666,517,459,190,810,433,285,141,489,788,
163,640,011,891,324,548,542,721,212,780,935,501,059,713,022,755,423,720,271,
557,228,086,628,954,387,071,868,447,253,203,968,948,541,390,719,217,330,833,
606,350,063,298,189,114,477,297,685,369,719,208,874,670,412,533,808,059,302,
508,864,252,316,934,479,849,905,080,614,838,564,730,632,487,397,984,226,215,
484,022,716,887,169,996,088,970,507,204,755,229,151,371,567,737,743,407,175,
832,986,539,624,180,542,637,933,740,801,011,379,327,675,536,131,357,385,369,
917,729,788,753,930,746,124,281,361,652,001,647,329,618,715,622,108,897,677,
330,741,190,097,904,760,664,900,178,422,623,137,901,372,401,459,202,114,037,
207,341,160,257,497,986,460,442,315,233,327,118,472,576,608,374,815,639,373,
186,543,932,413,633,820,086,307,800,095,322,076,424,904,102,855,847,855,773,
756,841,512,571,779,621,381,442,699,392,381,007,591,045,798,683,116,124,107,
928,749,772,135,605,297,652,960,104,258,797,069,283,481,285,189,802,561,242,
806,592,323,321,899,621,470,473,448,435,718,794,605,220,686,113,200,013,301,
946,176,325,752,239,108,317,262,076,425,583,782,540,986,140,605,898,820,451,
067,567,816,163,779,580,500,441,487,444,034,519,791,944,073,497,863,606,739,
026,818,084,159,974,920,237,205,095,254,275,163,738,911,461,141,226,892,335,
630,352,699,564,012,110,294,857,573,880,380,633,209,536,587,200,117,662,867,
101,866,492,072,237,757,551,633,800,217,830,487,237,569,837,636,944,580,201,
454,317,649,682,923,142,131,089,988,081,859,807,850,424,934,770,687,248,129,
192,157,760,015,676,029,206,666,442,658,149,513,259,993,798,464,597,528,618,
424,641,765,675,004,166,674,690,179,614,191,921,180,767,263,101,047,328,871,
364,100,161,251,562,660,009,897,073,891,027,717,097,965,892,584,343,130,145,
141,549,229,320,969,757,788,764,891,908,304,919,773,682,142,743,377,439,347,
473,178,901,274,438,610,535,099,204,999,692,266,998,197,378,552,300,865,621,
044,352,636,853,752,598,792,825,696,489,061,316,180,118,306,555,501,590,072,
838,468,085,852,186,148,749,086,531,480,035,183,967,179,505,384,707,980,260,
064,412,968,198,001,555,950,323,241,521,745,129,452,832,111,257,545,919,509,
596,706,898,298,743,976,728,674,194,380,180,139,085,642,474,822,556,384,850,
618,668,643,173,139,861,375,162,930,644,139,362,100,560,072,996,612,005,677,
950,783,420,512,154,932,434,804,988,302,399,348,664,413,761,880,210,605,791,
657,280,398,559,557,815,981,352,378,234,810,223,402,141,254,288,594,385,328,
524,693,964,792,539,291,151,207,110,113,064,634,150,352,499,831,963,276,821,
851,278,637,819,300,321,129,432,813,466,382,798,836,133,842,684,476,951,492,
373,233,250,854,933,172,822,075,702,933,820,036,756,229,270,116,785,640,244,
950,310,020,444,352,786,826,913,970,118,685,008,596,872,968,038,030,066,062,
239,871,236,184,690,162,304,633,363,131,870,755,030,956,431,934,600,304,005,
485,041,943,269,372,528,592,247,520,558,922,172,440,275,268,739,833,416,645,
793,904,891,779,314,482,139,242,945,747,040,138,727,024,791,997,964,020,426,
763,695,600,739,293,585,328,927,062,284,486,078,919,139,945,430,373,732,256,
640,447,632,211,849,324,383,892,088,083,540,000,424,564,839,410,413,613,598,
271,068,901,464,959,735,610,619,661,267,602,792,929,771,180,475,374,724,545,
628,211,965,624,827,783,945,077,702,751,753,639,571,063,280,327,343,516,361,
177,996,748,594,943,983,978,137,407,621,320,707,642,027,265,598,643,249,286,
772,219,600,604,773,589,793,590,455,056,522,656,490,529,796,378,085,589,672,
975,470,736,494,780,127,001,747,938,624,321,161,856,276,729,189,252,179,158,
761,027,886,781,411,823,703,499,373,532,369,599,600,234,350,652,956,085,366,
599,128,773,991,333,816,459,026,687,567,046,668,246,502,774,335,019,389,686,
945,467,011,067,338,720,107,710,748,459,301,950,810,872,639,360,090,390,216,
107,796,189,223,368,795,619,997,330,227,120,197,434,953,471,573,164,179,075,
720,751,029,032,629,025,528,178,746,906,909,198,056,783,914,099,423,197,013,
605,457,233,898,306,484,475,909,704,718,508,291,937,293,924,890,683,882,519,
798,736,413,817,835,045,233,643,624,173,220,624,142,868,713,796,820,461,008,
891,992,957,953,763,763,106,057,700,582,993,473,706,610,369,461,015,285,095,
768,007,748,727,900,788,238,014,658,217,446,416,609,448,398,066,702,662,592,
777,883,662,256,896,876,119,002,578,574,946,218,323,124,971,399,513,653,435,
737,268,861,643,103,973,304,353,697,721,884,938,415,837,494,491,432,301,723,
526,793,916,376,441,276,565,200,093,534,378,701,460,397,810,372,279,700,678,
182,339,658,625,547,753,423,399,094,167,030,171,991,111,757,447,763,183,227,
637,331,580,250,662,410,221,204,454,239,507,517,051,622,287,337,108,770,001,
098,049,132,580,897,258,215,233,052,913,532,433,163,520,432,395,212,894,267,
945,123,047,427,691,292,323,241,206,065,315,236,693,896,566,081,460,316,645,
840,945,686,093,571,656,553,960,677,605,960,227,149,309,820,393,696,781,062,
470,586,079,572,017,892,022,939,944,764,033,141,771,093,960,801,166,209,835,
038,121,542,079,037,909,054,953,011,919,080,331,174,170,059,450,439,013,012,
733,177,645,189,818,340,209,452,609,820,216,383,249,809,957,953,851,564,096,
341,928,901,299,997,882,343,504,242,552,431,240,194,801,347,077,025,198,851,
925,078,682,807,913,655,682,406,149,147,156,380,900,260,588,942,362,397,169,
110,150,958,292,410,219,775,086,126,777,317,037,670,525,536,024,389,243,610,
471,932,421,182,474,168,468,780,262,216,770,230,065,268,291,254,901,064,273,
342,466,713,943,942,282,915,975,700,940,426,015,985,313,865,918,126,074,568,
792,434,381,398,435,836,488,431,729,362,139,537,141,861,032,843,616,469,625,
302,956,494,036,872,932,568,312,916,906,416,042,351,513,282,078,173,460,504,
402,573,535,708,862,827,552,716,037,544,570,475,596,884,391,643,981,201,060,
563,792,212,552,772,165,635,962,453,205,350,664,099,970,246,490,450,797,707,
080,604,881,761,635,924,031,751,151,879,457,258,732,400,634,434,762,920,282,
534,178,014,014,869,164,050,085,409,869,558,269,618,302,618,878,443,687,053,
631,661,819,050,731,827,121,514,613,072,108,136,769,787,541,620,194,429,908,
997,760,968,312,424,270,059,122,906,872,683,193,498,656,671,749,830,227,297,
309,597,809,316,148,583,936,702,857,917,958,226,787,417,627,265,139,632,029,
472,520,383,833,387,524,287,704,501,354,441,202,702,713,961,076,366,487,296,
088,261,346,472,245,126,988,422,347,214,307,258,084,225,753,554,224,025,855,
547,608,214,659,930,281,676,155,196,984,981,555,397,787,124,507,267,454,055,
850,518,932,447,168,929,677,720,713,104,117,003,987,346,782,828,840,662,070,
332,504,846,432,358,223,976,863,164,239,494,928,420,468,986,405,954,425,658,
773,528,558,465,093,090,732,662,303,075,332,008,078,047,687,863,448,258,609,
653,313,960,652,369,970,076,942,587,296,926,551,827,013,402,453,699,589,605,
307,940,369,196,419,473,332,307,456,232,764,030,467,592,860,643,899,821,440,
313,645,751,566,853,691,667,198,096,556,646,122,163,424,502,395,604,375,492,
615,591,128,712,248,556,447,180,150,300,412,766,950,447,819,811,797,386,961,
226,654,383,864,615,165,735,707,359,484,237,743,293,854,101,544,972,152,227,
877,797,343,477,953,992,167,074,314,790,438,309,296,095,053,514,805,315,049,
419,814,244,222,294,856,773,416,319,343,890,230,376,728,536,822,556,475,151,
092,851,777,274,650,749,536,150,133,320,437,556,137,911,015,325,088,130,487,
239,495,638,696,495,604,353,206,977,059,845,680,476,860,041,891,563,225,215,
109,640,658,091,597,937,746,863,187,538,190,415,083,253,167,887,799,289,750,
176,332,905,343,832,249,687,172,391,851,865,918,545,613,448,945,179,191,934,
571,819,735,271,554,928,910,536,776,769,356,906,593,121,733,740,616,240,142,
855,405,330,706,131,169,875,174,439,336,121,867,674,327,825,925,134,783,117,
373,777,245,072,167,663,741,561,740,344,339,401,582,355,867,580,487,415,605,
882,905,958,329,373,304,866,463,417,527,103,132,293,829,242,830,590,609,709,
397,802,799,015,111,496,943,791,605,107,263,725,503,665,884,279,502,007,105,
882,090,533,888,579,215,222,145,908,472,086,433,671,669,716,091,198,403,987,
837,272,537,387,836,155,863,986,832,547,611,296,993,029,010,174,468,111,778,
843,072,389,600,445,594,142,162,249,772,207,191,573,175,720,554,293,974,103,
845,312,094,133,180,317,977,911,840,014,648,915,792,969,436,655,051,067,848,
224,441,144,006,674,453,034,683,048,402,614,549,412,338,139,139,255,292,080,
544,366,103,138,609,438,459,401,586,400,362,951,488,212,698,632,241,506,696,
920,599,810,120,823,632,881,724,319,061,081,612,519,790,901,687,403,020,275,
014,162,665,435,297,829,650,305,225,162,933,342,584,319,461,261,622,595,123,
531,988,319,503,479,852,231,933,851,677,325,026,750,901,776,378,846,446,592,
843,269,752,515,208,550,994,227,968,526,963,053,169,106,244,317,742,763,093,
810,791,684,236,419,967,124,375,293,675,031,046,090,050,477,828,806,046,098,
297,440,477,428,384,546,847,851,753,258,954,585,213,297,919,017,810,148,072,
586,719,258,951,563,266,252,416,377,287,054,424,164,280,409,099,448,619,741,
344,382,750,072,292,251,651,040,867,207,555,002,744,822,908,902,621,026,312,
330,391,234,685,013,246,708,932,605,089,440,829,707,163,969,403,863,329,579,
009,310,741,291,916,073,285,781,720,928,069,786,160,752,742,705,787,923,843,
055,311,362,343,104,924,608,275,090,749,422,177,726,378,109,450,962,017,062,
312,207,591,414,768,082,494,606,006,860,547,796,727,908,907,385,961,321,132,
198,315,839,960,943,888,855,757,799,743,815,303,886,771,148,547,075,348,324,
917,938,889,117,577,481,141,725,548,782,089,873,109,874,418,746,064,712,364,
739,540,788,093,135,639,926,274,052,444,728,205,753,190,777,205,782,098,865,
819,315,135,966,776,020,759,824,809,197,751,797,022,443,217,145,759,968,287,
013,187,315,498,912,589,180,257,392,371,888,887,315,465,913,129,632,043,738,
607,635,594,447,097,042,303,870,335,451,930,444,054,219,816,950,193,399,221,
147,289,688,766,755,973,158,520,140,816,088,045,912,754,180,891,859,644,382,
838,400,793,788,461,570,480,951,255,065,147,709,695,700,705,653,264,481,456,
880,187,240,055,768,553,440,878,840,104,148,683,203,389,667,349,064,464,302,
289,742,712,828,713,537,046,046,287,868,001,462,299,201,679,114,539,562,637,
622,861,528,811,668,373,416,897,034,222,628,840,400,654,758,003,370,643,316,
299,357,266,864,560,299,269,299,343,566,179,399,154,480,434,918,458,369,085,
719,859,101,108,640,253,956,043,401,394,044,797,717,015,631,008,798,373,886,
121,317,690,655,608,541,584,107,209,129,581,285,355,610,766,455,476,041,228,
043,748,631,451,906,133,484,458,395,446,572,241,951,359,624,108,264,918,183,
056,478,801,981,681,788,922,836,746,161,721,955,104,739,500,108,451,635,484,
597,007,664,123,653,603,447,665,703,901,941,846,870,540,694,188,280,632,056,
929,971,159,548,869,678,061,254,400,817,785,967,243,579,461,853,784,293,176,
553,643,980,437,103,610,115,988,894,506,953,014,859,940,852,588,395,002,534,
647,310,748,981,127,444,109,186,790,797,991,455,949,713,728,580,783,543,626,
556,128,345,697,877,445,175,221,034,792,249,870,989,107,844,816,261,873,107,
095,997,362,712,595,528,831,146,925,454,727,474,527,666,585,957,323,335,856,
128,503,140,413,989,908,906,359,251,684,638,670,436,826,613,879,340,695,127,
117,640,092,518,763,657,681,371,055,682,008,055,784,621,486,747,765,308,964,
704,601,582,424,774,914,441,902,003,902,399,161,707,085,752,427,444,986,577,
744,290,700,383,221,678,274,805,521,015,733,996,087,757,489,119,330,945,943,
030,702,436,069,776,728,471,924,693,396,133,695,034,414,707,999,578,301,401,
773,132,431,217,776,496,430,264,009,030,994,831,533,396,855,618,740,548,279,
631,935,266,665,158,848,973,640,640,227,393,876,800,965,781,472,398,565,589,
453,869,626,725,811,258,439,935,548,436,182,288,789,133,351,690,897,431,782,
515,667,298,880,728,693,744,201,243,715,330,189,424,322,673,183,788,521,581,
313,318,006,763,416,386,220,698,288,945,839,165,557,542,583,888,315,533,739,
091,640,434,551,685,864,889,336,206,259,037,078,823,248,850,443,103,089,598,
747,754,619,911,744,326,237,732,558,472,750,102,038,281,382,971,163,116,726,
393,809,338,295,518,039,649,198,773,930,387,064,889,909,569,975,899,693,489,
927,649,430,401,061,751,906,432,255,893,644,554,647,179,953,295,472,778,085,
387,388,163,173,574,558,597,245,751,141,357,829,256,248,397,133,769,766,188,
795,691,573,520,966,224,890,883,003,316,820,685,544,374,022,806,138,595,806,
581,040,365,201,665,020,675,404,884,606,187,466,123,469,477,921,812,545,363,
674,566,019,185,787,305,604,131,226,937,760,726,176,032,795,171,031,007,376,
851,713,860,836,761,168,442,179,034,397,552,921,609,990,303,670,710,038,905,
356,692,785,315,528,697,459,030,521,877,995,604,665,838,330,296,593,571,230,
437,829,378,241,204,754,093,031,411,155,660,851,715,262,256,637,015,415,286,
856,429,785,449,612,338,836,386,125,515,821,094,073,464,758,852,665,698,044,
094,150,805,310,272,108,123,144,360,203,902,248,181,220,016,230,072,026,999,
968,738,014,767,403,433,829,529,472,910,854,019,490,356,884,899,971,088,520,
313,432,618,073,754,919,181,464,526,124,080,166,566,014,411,241,622,159,127,
491,796,322,986,580,870,415,019,905,707,860,247,197,312,419,868,987,995,078,
148,529,406,032,788,751,565,332,907,782,081,652,223,605,052,163,658,063,472,
210,378,247,762,881,664,222,130,683,871,176,433,341,308,131,121,259,253,599,
294,438,121,497,031,747,502,431,767,665,575,210,721,683,013,041,720,664,380,
332,124,753,772,991,232,842,214,065,693,522,613,385,729,164,061,559,379,400,
512,207,914,686,318,132,451,865,361,025,861,049,948,574,067,385,306,084,334,
858,875,191,187,113,162,973,577,540,772,503,915,316,215,908,811,596,999,137,
853,117,745,479,442,367,196,224,087,213,975,929,408,019,290,328,994,497,811,
295,699,932,195,405,517,591,725,048,567,159,932,633,394,752,336,330,098,209,
555,239,812,517,124,792,938,347,261,318,475,906,717,341,853,133,073,733,397,
887,459,210,951,878,215,211,732,481,453,959,601,758,617,656,746,473,918,104,
336,507,840,446,260,788,402,346,089,444,093,351,772,264,772,028,564,769,581,
611,142,388,389,174,118,890,537,034,923,231,542,615,850,776,171,453,189,473,
284,277,180,944,369,524,796,141,173,994,665,518,097,337,880,034,455,712,705,
974,332,963,126,819,582,104,493,768,663,111,678,018,475,853,757,726,946,632,
346,777,452,681,634,479,787,605,867,975,517,124,095,553,294,680,202,657,099,
726,553,682,350,959,929,866,820,054,055,691,867,837,160,515,542,051,047,243,
930,971,948,560,411,754,495,802,121,570,428,652,899,983,898,924,853,893,675,
406,515,195,038,624,979,121,252,994,076,448,038,082,829,688,867,271,095,036,
586,861,396,892,025,077,751,934,918,466,278,794,943,285,455,320,852,801,830,
895,101,166,901,044,310,331,792,774,221,142,764,029,761,245,796,382,869,306,
788,801,767,803,321,137,805,065,492,139,245,022,550,083,200,264,703,385,064,
241,230,725,595,032,243,838,149,032,641,608,096,008,951,425,068,809,112,041,
838,880,228,773,496,799,374,281,719,531,892,623,301,929,881,029,775,845,871,
799,443,597,967,856,500,434,599,126,973,840,370,147,649,469,566,774,596,296,
108,803,527,564,184,752,109,008,038,269,382,299,430,568,080,294,799,721,917,
906,438,437,684,892,273,203,201,804,750,357,721,088,384,918,297,251,692,564,
301,226,636,346,640,081,135,993,514,043,199,819,526,568,074,938,896,733,873,
229,809,777,189,100,569,969,905,660,181,540,877,944,011,741,246,915,179,111,
691,460,154,379,721,978,542,774,183,256,456,273,539,868,126,631,089,105,241,
080,290,478,230,673,686,539,809,649,431,511,395,165,939,154,760,902,511,560,
478,957,170,504,642,416,507,669,261,456,380,860,117,116,398,181,963,301,621,
298,750,518,125,415,403,221,498,533,708,290,788,574,447,854,952,218,977,109,
198,101,028,110,154,724,856,441,998,053,733,842,901,809,345,755,850,919,777,
515,847,818,456,511,521,932,359,892,219,693,967,834,986,716,064,745,301,043,
209,840,068,811,439,927,820,491,568,060,280,826,954,554,131,568,310,038,884,
240,308,073,767,698,055,352,123,764,723,179,264,056,994,479,974,915,291,611,
519,491,725,462,898,432,097,859,362,842,250,141,615,185,103,477,191,988,273,
198,774,124,310,122,504,496,837,365,332,949,553,509,732,323,909,155,153,957,
902,288,103,976,542,711,888,255,971,312,754,078,147,706,520,637,734,921,174,
108,744,748,015,091,035,375,379,202,143,353,644,147,833,856,118,034,576,953,
427,120,576,723,528,579,571,421,338,051,330,441,992,743,988,866,975,145,190,
366,770,115,570,064,356,751,310,464,031,299,934,047,700,120,157,638,482,138,
309,752,662,173,010,476,072,045,680,732,833,561,825,966,008,347,511,494,686,
738,084,008,358,614,700,429,749,970,835,197,324,057,770,030,536,443,898,390,
020,982,452,504,549,272,437,762,070,794,776,589,108,488,007,614,627,386,610,
481,807,740,658,809,122,970,696,832,532,310,424,147,742,826,995,813,270,581,
923,254,231,945,894,479,005,887,178,581,086,643,973,850,852,124,122,067,873,
193,904,697,773,511,968,480,600,867,912,029,684,487,170,540,446,918,879,095,
136,251,086,076,464,450,026,802,731,678,609,218,512,286,533,938,178,156,810,
815,050,809,272,548,703,042,829,838,069,498,803,196,101,443,201,195,421,113,
070,564,960,006,132,072,581,661,682,887,955,581,085,077,550,591,384,488,592,
550,792,860,667,380,992,410,496,216,326,107,437,126,217,242,924,094,911,257,
916,571,559,358,726,143,979,673,360,180,705,943,829,667,556,195,620,454,138,
227,842,323,726,685,476,289,212,677,945,754,190,615,266,368,642,248,491,619,
355,722,379,842,370,620,691,580,144,232,460,415,576,803,659,397,052,401,189,
626,730,525,633,862,096,245,765,454,916,752,059,906,736,603,838,120,362,122,
376,705,152,651,023,132,634,710,940,921,898,226,330,436,589,481,865,907,171,
399,823,680,348,668,879,601,181,424,951,372,234,408,162,784,450,159,431,072,
386,963,114,376,887,137,124,038,395,590,228,800,164,776,920,751,464,543,559,
741,940,668,536,248,800,856,158,510,200,578,913,045,248,387,126,353,785,960,
403,947,925,703,300,747,503,154,548,337,299,962,706,309,056,911,416,508,889,
466,012,757,628,857,384,762,988,624,255,497,324,315,299,837,954,858,207,783,
206,008,878,416,815,322,606,033,691,100,907,357,202,804,305,750,002,299,886,
527,268,509,499,860,939,866,890,308,060,194,742,478,790,277,610,443,958,527,
169,075,910,179,409,781,662,588,276,827,427,460,015,991,789,129,636,950,909,
334,211,669,631,802,248,486,911,930,269,192,865,132,635,240,912,904,325,435,
612,504,158,971,432,167,447,721,079,364,764,343,074,728,416,117,616,745,511,
544,340,596,076,629,924,363,135,977,850,591,509,961,788,286,068,483,015,757,
242,626,994,873,338,052,587,385,702,621,753,886,048,625,931,716,662,442,509,
861,327,463,589,742,121,660,212,841,236,468,459,005,232,765,909,017,208,362,
050,361,333,828,261,404,442,184,991,141,162,097,711,871,808,744,176,192,282,
690,796,395,567,278,306,621,452,752,085,213,371,375,345,479,631,371,293,883,
596,657,038,825,638,781,224,499,987,631,860,793,151,364,035,409,484,423,312,
579,631,063,931,852,291,566,068,976,380,452,885,017,182,408,523,744,738,505,
478,403,256,453,079,277,307,663,217,619,095,161,567,454,006,397,835,433,904,
474,840,700,101,155,237,043,804,130,994,190,464,951,089,711,317,518,127,312,
803,658,235,730,112,268,215,259,191,217,798,665,994,139,720,601,805,355,505,
513,745,340,849,100,077,476,455,184,188,234,525,754,238,567,372,579,486,915,
786,254,833,843,702,528,582,866,087,052,159,371,260,901,152,079,283,788,317,
984,702,522,424,413,811,658,471,681,604,120,646,730,794,648,681,445,621,975,
363,024,991,329,843,583,138,287,564,408,248,808,964,052,072,765,124,511,498,
915,529,761,461,209,398,240,200,385,626,255,994,685,856,031,598,469,864,017,
208,029,079,930,583,784,089,441,689,411,077,991,363,973,741,004,093,469,316,
907,058,387,835,406,827,126,219,255,286,019,726,980,105,799,275,693,349,811,
938,599,107,701,440,519,263,823,476,652,291,967,161,680,249,394,103,689,259,
562,399,535,373,512,659,118,796,504,214,116,488,572,844,660,352,818,235,872,
455,122,236,330,092,173,582,849,711,970,906,632,260,685,161,834,537,310,845,
059,451,796,016,680,486,675,419,178,200,667,434,034,334,674,009,845,227,124,
864,138,434,412,716,363,171,706,425,225,771,204,840,708,037,788,769,151,694,
379,343,062,868,204,400,962,733,382,443,931,208,800,405,549,061,538,099,898,
185,500,895,893,155,361,646,324,994,613,880,895,740,941,720,480,190,724,926,
851,189,050,705,025,396,556,479,575,215,170,886,512,367,967,130,214,243,497,
912,945,485,600,474,062,860,853,576,381,472,994,572,596,906,996,944,534,852,
739,366,873,257,436,103,761,645,871,644,225,458,843,652,545,576,368,942,678,
711,384,967,002,054,669,493,675,954,520,872,749,465,365,992,509,221,798,171,
765,577,255,976,625,214,295,118,012,924,007,399,123,023,903,801,156,297,442,
566,208,313,085,770,433,058,904,267,854,841,320,343,977,554,059,761,022,085,
001,727,865,722,717,786,764,265,939,712,941,524,925,074,097,252,084,559,415,
395,000,078,589,730,648,223,417,436,362,225,763,263,158,640,076,832,734,450,
747,253,091,729,477,813,144,928,462,786,140,340,117,629,731,182,550,887,257,
901,630,145,992,168,185,891,025,212,770,842,299,783,115,614,438,921,642,874,
105,593,484,055,578,057,795,445,441,819,866,355,573,102,062,438,539,397,679,
771,601,538,657,238,774,886,048,729,396,196,019,820,456,091,830,124,943,507,
498,114,666,574,006,490,233,855,373,233,195,224,283,868,647,779,252,887,441,
025,880,518,958,770,632,692,840,253,787,139,376,151,431,446,448,628,772,056,
846,534,162,331,877,943,290,270,496,445,529,977,843,523,334,295,645,533,121,
472,670,747,691,971,139,840,983,664,715,787,764,068,443,166,200,785,883,525,
674,906,023,228,047,641,744,419,689,500,735,067,950,470,279,949,430,012,244,
563,960,878,832,894,504,474,810,894,914,796,043,863,313,308,918,327,087,392,
947,655,313,813,603,623,001,815,201,673,035,783,924,168,493,037,062,427,827,
854,273,820,935,545,013,613,472,824,287,430,002,243,606,435,493,726,183,282,
685,627,524,558,226,087,543,809,332,820,581,845,553,176,748,607,560,135,391,
616,590,712,676,000,328,501,735,574,798,988,809,263,779,143,383,898,623,529,
119,528,445,028,852,314,116,639,878,069,248,924,851,356,153,018,829,665,427,
271,647,913,138,243,297,431,110,575,422,419,221,220,504,149,010,202,349,052,
673,314,071,303,105,393,225,123,164,782,052,446,593,943,900,589,398,873,305,
692,055,015,825,746,486,771,418,696,866,174,252,644,624,734,790,906,876,615,
205,593,626,212,221,847,159,531,674,497,145,374,840,198,677,829,820,885,214,
174,091,209,353,262,475,610,436,227,591,237,138,956,430,769,764,160,381,387,
318,420,496,979,510,028,980,613,528,436,768,592,785,294,482,993,719,813,818,
246,434,328,659,832,582,407,857,445,129,059,793,040,200,052,394,512,993,285,
875,704,000,119,043,243,495,421,636,743,341,484,231,387,573,236,641,084,327,
046,926,999,461,926,598,625,774,243,713,430,041,616,630,746,457,191,758,044,
698,052,245,868,587,199,699,506,319,248,638,115,683,853,358,007,064,870,226,
704,333,631,192,466,867,985,140,511,426,479,820,371,176,032,727,149,754,023,
285,172,909,668,252,223,751,669,393,889,735,636,514,105,687,827,617,111,466,
175,028,765,250,728,488,718,614,924,804,697,926,845,874,311,332,089,472,947,
695,062,244,902,027,890,692,482,342,776,853,158,450,752,594,394,671,685,286,
034,596,623,820,380,359,499,865,842,501,357,578,541,517,227,997,861,027,975,
425,829,180,666,781,557,554,629,258,356,466,175,507,026,725,519,492,587,464,
313,461,101,969,819,342,310,580,781,899,454,330,946,453,386,426,615,865,672,
641,144,588,205,839,162,457,252,815,249,673,983,859,992,643,041,117,424,565,
611,327,626,226,061,572,977,683,227,736,310,229,838,314,990,812,465,328,574,
273,447,590,998,464,975,593,550,924,959,015,504,398,649,739,861,889,802,737,
885,274,721,140,753,389,429,575,120,152,110,557,064,495,943,834,740,581,473,
788,273,644,202,812,723,523,935,526,438,188,529,455,253,039,587,570,106,112,
769,186,293,591,943,767,819,338,486,051,121,510,882,437,353,328,699,701,453,
316,878,022,538,508,072,379,223,847,239,774,174,939,439,228,543,123,566,915,
842,560,458,639,044,857,503,373,479,436,392,460,488,686,548,855,767,334,365,
479,430,104,971,662,590,569,645,370,007,452,331,710,577,994,193,362,473,954,
356,016,712,585,923,823,051,658,015,700,846,672,821,779,466,552,942,367,997,
166,822,618,077,473,490,853,675,504,105,999,629,233,185,469,337,186,342,995,
700,290,068,804,659,784,233,209,521,919,935,383,288,680,742,573,927,300,617,
662,294,355,366,858,632,067,201,840,303,215,272,293,822,081,486,284,304,170,
886,765,637,911,345,288,674,537,130,945,197,902,217,984,042,574,817,363,068,
860,652,314,688,978,061,297,498,580,986,938,554,685,313,523,281,847,976,224,
909,964,938,160,090,877,076,795,228,703,384,257,402,599,759,975,668,940,827,
217,943,149,373,741,054,095,275,054,048,930,794,151,206,979,363,011,569,325,
872,165,578,146,027,415,967,242,128,547,211,571,756,967,100,474,717,094,433,
199,365,794,375,444,224,888,610,266,366,572,161,731,482,196,603,670,372,356,
024,025,430,208,005,077,323,449,007,896,318,453,562,108,790,057,254,873,508,
437,891,386,583,161,687,641,768,260,180,488,856,339,022,557,766,105,007,188,
803,314,451,528,703,248,945,098,044,801,928,316,030,427,668,685,919,647,470,
108,702,363,583,272,255,516,747,122,584,455,296,166,635,605,289,996,176,188,
417,172,048,631,276,848,261,969,358,083,840,157,585,547,931,044,324,522,437,
316,262,312,921,938,895,764,673,348,806,628,541,522,522,612,033,226,325,508,
623,609,454,632,142,607,121,411,576,856,706,460,833,448,227,736,610,027,035,
269,160,967,842,501,518,493,592,558,692,391,317,948,904,870,680,664,261,761,
789,806,021,832,250,079,679,200,172,634,700,248,419,670,780,523,535,864,368,
342,700,701,688,083,052,994,744,646,526,862,409,171,975,515,180,618,097,165,
468,495,380,467,344,396,690,580,530,343,309,298,419,300,611,706,628,596,748,
047,113,448,527,428,659,430,507,171,621,316,163,989,837,761,126,262,742,852,
518,687,847,477,694,327,373,009,777,525,559,270,452,063,757,109,393,119,908,
400,669,709,768,058,159,799,492,816,780,180,089,802,664,777,157,610,914,894,
978,004,426,835,170,556,818,810,645,101,187,883,310,921,108,702,359,946,584,
743,831,789,548,593,142,451,516,291,657,393,472,029,589,157,473,462,483,408,
198,142,486,220,618,186,914,358,378,023,619,728,971,426,533,490,211,513,349,
003,904,185,620,955,683,585,095,972,183,722,175,593,827,330,941,028,785,770,
201,749,397,126,411,909,082,545,113,597,631,869,834,948,644,643,083,493,603,
456,179,796,047,492,176,265,198,634,056,256,798,770,575,504,468,501,895,570,
881,962,551,125,540,125,587,672,362,083,011,466,255,613,813,980,696,610,327,
387,664,914,460,407,321,365,001,509,456,680,437,968,365,994,958,943,533,887,
407,800,450,396,282,931,178,130,686,596,723,160,743,512,772,490,925,184,976,
279,956,263,992,878,004,346,176,807,299,471,711,365,366,593,717,467,184,445,
178,565,364,301,232,447,665,704,188,254,156,289,714,353,466,547,687,750,313,
426,449,462,714,104,216,909,670,113,749,115,485,145,712,908,425,972,604,067,
104,118,643,107,558,557,440,139,865,836,029,906,595,934,067,364,753,467,764,
937,237,433,776,934,709,310,640,517,749,432,692,649,580,099,100,460,352,806,
424,306,849,320,845,813,455,824,575,045,431,639,848,547,009,328,516,689,659,
429,534,611,061,007,150,345,736,537,469,436,647,737,299,418,030,211,355,240,
538,689,321,013,909,628,654,287,044,733,934,358,707,903,867,788,553,329,331,
694,812,878,958,374,863,333,373,157,915,095,544,857,352,094,075,472,846,069,
746,182,224,988,687,567,185,921,424,991,651,133,373,533,758,071,675,375,711,
015,475,947,682,134,929,820,928,542,175,891,281,606,858,301,775,485,595,778,
986,147,927,731,047,981,165,604,877,233,921,691,474,287,683,124,095,494,540,
981,919,640,332,677,731,714,913,963,429,120,257,711,213,774,980,914,993,228,
055,231,345,429,629,587,764,648,119,442,348,640,594,405,671,910,875,534,635,
645,601,577,707,988,967,914,927,931,505,677,811,995,809,050,681,773,772,439,
847,926,645,258,064,162,777,266,930,432,944,391,089,449,069,458,790,436,308,
940,114,629,529,088,513,974,861,667,254,311,526,131,623,203,364,786,471,359,
735,464,409,009,645,209,697,122,766,166,169,177,378,807,295,571,606,553,156,
468,484,577,669,144,924,831,328,353,637,105,469,335,941,917,491,122,409,281,
280,638,193,836,310,350,616,908,962,066,016,352,712,272,546,213,046,324,857,
802,645,735,841,420,163,826,559,969,369,532,331,408,012,022,162,964,980,399,
054,319,394,789,821,229,890,869,421,204,149,075,451,194,766,865,279,436,423,
860,336,679,479,725,480,099,422,919,294,527,348,743,621,905,298,826,547,563,
996,964,586,067,539,963,599,908,039,423,556,143,683,980,134,572,588,495,891,
537,785,494,123,270,853,083,119,540,118,154,746,108,263,136,289,653,074,580,
632,411,756,207,105,489,105,828,962,327,924,432,208,942,660,756,827,145,055,
518,962,031,015,033,220,585,882,988,345,534,918,264,274,107,984,670,420,018,
373,389,778,352,425,837,596,064,006,545,530,892,508,561,331,462,017,299,591,
071,204,055,292,337,779,935,161,599,096,878,212,118,752,886,501,397,438,459,
973,699,715,182,818,857,163,456,199,985,112,426,010,267,418,664,897,558,699,
073,476,310,932,599,952,875,055,716,883,657,006,671,982,092,718,430,672,565,
389,039,491,599,150,626,307,636,124,961,604,890,003,059,671,139,699,731,953,
597,294,522,426,273,278,650,003,314,140,875,250,720,726,479,987,249,177,688,
728,214,623,794,275,030,351,230,854,179,620,999,069,735,163,463,694,471,675,
068,097,310,117,874,934,276,860,334,199,868,925,267,849,687,356,762,204,859,
664,134,769,726,642,629,718,828,632,374,332,875,025,356,438,164,226,894,920,
958,616,753,306,897,485,400,361,323,328,128,406,167,575,504,613,243,560,500,
270,971,974,803,968,417,095,584,592,273,528,424,775,725,029,623,869,572,445,
480,952,613,756,208,338,293,774,405,436,984,625,825,639,495,171,577,238,710,
764,965,132,796,787,094,893,924,176,681,791,813,283,985,226,013,560,444,186,
136,611,393,012,866,101,481,900,695,026,843,751,045,636,722,601,701,154,088,
229,084,004,909,940,840,209,802,603,945,140,194,486,926,994,911,234,525,431,
310,023,625,832,577,268,016,523,676,938,730,891,994,315,017,298,527,155,047,
234,159,589,133,002,402,884,872,316,297,571,725,050,370,448,567,010,921,168,
930,331,384,719,811,680,996,233,265,837,233,505,916,379,120,699,652,700,721,
356,533,890,659,870,027,700,290,125,101,566,267,141,981,613,356,834,951,064,
475,234,884,690,197,717,043,796,471,847,888,645,773,006,657,805,977,940,051,
577,965,356,942,650,029,673,299,554,279,798,528,175,528,859,705,852,440,676,
879,125,524,299,130,086,027,353,380,332,750,498,382,113,616,649,980,131,878,
738,708,084,926,504,918,183,424,934,332,099,152,040,214,017,484,314,730,624,
626,005,261,206,713,308,444,462,923,641,143,421,803,765,888,889,678,790,527,
933,329,753,611,847,424,019,338,457,766,388,029,332,323,176,546,956,729,259,
543,795,743,879,914,710,341,563,087,685,479,367,008,388,270,697,344,749,978,
304,666,047,815,106,619,653,643,163,362,934,216,568,738,346,690,780,746,937,
170,237,267,676,020,648,012,773,573,524,830,484,669,354,228,226,159,996,923,
911,348,613,834,822,908,655,307,624,102,636,613,820,262,119,683,206,775,434,
028,692,478,462,890,685,345,377,111,026,338,633,827,644,349,267,935,840,956,
643,753,204,341,447,062,228,348,416,966,956,760,455,049,952,330,461,560,274,
413,414,315,399,125,261,720,437,448,330,594,219,445,870,393,315,020,131,468,
177,809,513,273,350,332,456,347,460,750,815,557,573,960,808,608,032,371,968,
018,655,084,212,596,446,331,128,653,780,269,152,766,319,821,876,338,397,032,
480,196,032,685,831,720,828,493,692,869,183,189,102,054,717,068,604,635,414,
781,428,279,731,275,070,583,239,558,114,141,303,359,126,465,446,881,964,733,
330,735,958,897,436,964,338,987,812,315,843,565,924,914,873,615,718,602,198,
227,723,899,589,699,393,163,540,522,279,134,953,178,426,886,689,302,575,069,
391,817,216,708,710,250,018,992,428,727,965,731,530,363,029,688,274,734,161,
979,315,784,010,555,332,493,814,997,651,217,769,645,373,871,357,181,894,886,
398,119,558,319,149,677,370,901,267,037,716,874,587,740,867,783,362,901,281,
242,869,596,914,214,517,516,819,086,809,055,099,373,285,365,886,067,813,821,
893,551,398,659,177,998,751,005,359,943,840,164,835,522,413,221,671,092,644,
028,613,056,233,566,622,207,581,587,391,584,411,598,324,337,031,060,755,711,
891,832,664,213,968,959,536,187,495,098,884,127,774,433,429,058,984,518,100,
113,782,500,479,819,932,512,370,925,555,904,204,129,233,587,860,026,873,163,
412,386,118,585,742,070,872,977,035,441,658,919,337,755,654,729,598,728,458,
317,712,164,758,548,620,151,896,426,674,906,355,597,804,282,908,727,342,718,
914,100,912,438,520,506,566,775,129,445,042,203,408,328,131,090,697,438,579,
611,202,781,555,279,948,378,393,326,333,203,281,536,828,817,986,265,505,960,
990,376,149,970,443,864,277,220,398,318,904,247,440,685,225,903,988,344,864,
577,742,152,872,511,273,356,891,172,739,102,122,348,448,284,182,179,519,895,
496,836,638,131,404,362,400,524,788,859,405,325,535,599,237,565,742,561,821,
918,198,312,705,661,234,569,739,782,286,370,776,461,297,619,867,324,727,149,
544,334,903,909,356,042,189,274,794,803,391,600,239,495,460,984,991,964,294,
608,580,411,076,705,989,684,305,044,673,312,954,427,887,185,180,111,722,635,
689,794,765,238,723,070,240,528,743,191,446,432,910,211,709,813,363,876,855,
131,599,702,297,148,651,354,863,089,341,547,992,848,170,803,469,533,839,136,
880,559,338,281,731,910,258,902,163,108,911,086,754,468,473,102,903,740,543,
453,508,892,957,234,313,106,156,387,027,657,111,728,116,095,402,348,145,806,
608,825,138,123,311,811,637,719,764,391,904,864,997,408,390,889,069,596,294,
537,771,347,566,129,281,275,256,516,611,101,908,580,385,179,870,975,250,420,
853,334,531,441,611,407,828,601,816,778,655,314,043,643,540,679,980,034,016,
929,482,739,918,930,108,730,168,370,980,200,234,352,772,941,778,418,114,202,
149,142,681,026,085,767,616,786,025,051,867,924,051,289,295,040,071,830,888,
193,761,157,976,807,378,035,900,475,393,543,783,900,202,959,897,386,499,556,
288,028,027,370,573,628,362,980,503,499,111,314,585,998,262,649,167,276,273,
372,291,262,488,909,290,382,777,472,346,954,778,127,216,504,932,424,905,555,
624,918,906,675,663,368,345,451,430,647,157,440,460,263,704,987,576,629,221,
407,377,178,586,637,083,494,409,299,171,699,852,621,953,254,757,821,983,344,
674,015,064,451,255,711,363,826,486,854,488,977,803,402,736,844,276,320,314,
133,891,194,899,673,514,693,755,793,305,781,107,072,896,176,668,029,007,877,
542,444,094,641,997,497,344,694,532,066,338,262,527,818,678,584,335,156,009,
092,695,863,385,561,764,615,062,120,362,874,002,065,842,107,176,367,070,251,
516,858,978,937,868,126,852,577,375,848,610,816,928,532,134,835,062,567,401,
496,961,687,451,036,612,991,349,511,730,491,737,898,764,527,078,397,650,479,
831,889,785,878,749,102,199,089,268,139,759,649,683,067,490,359,593,258,015,
083,585,704,344,289,574,509,134,473,095,039,615,162,706,858,390,677,630,601,
827,315,835,234,951,720,442,600,368,984,672,586,050,586,039,564,707,468,474,
508,118,003,908,660,537,104,488,530,239,461,635,209,027,545,705,961,271,874,
841,791,605,270,539,203,871,876,196,507,396,996,650,759,250,689,436,006,370,
665,842,326,186,951,781,591,013,504,031,128,984,657,557,137,562,418,732,713,
492,032,908,338,931,385,498,190,684,467,250,594,044,027,439,781,149,979,127,
713,602,648,276,714,407,375,306,337,815,018,922,445,206,109,566,059,929,069,
415,915,177,247,328,131,635,699,473,341,672,908,093,707,752,951,694,589,995,
969,996,950,703,669,892,674,468,216,454,901,890,724,052,892,337,148,112,144,
297,627,830,019,779,975,506,515,942,475,305,161,792,948,301,681,312,502,568,
159,069,340,135,906,628,385,976,832,807,695,738,881,847,557,819,124,481,580,
473,569,183,100,491,827,675,568,862,217,232,316,901,741,322,972,172,291,926,
696,832,585,003,844,540,328,443,107,162,771,382,577,873,761,205,552,875,182,
929,508,646,423,146,685,296,943,194,619,555,484,085,395,748,347,473,803,111,
635,631,076,515,170,148,775,506,557,975,461,358,012,165,011,777,085,260,926,
731,848,779,914,184,814,004,205,353,422,541,287,770,365,154,370,838,784,108,
294,829,017,253,747,214,924,072,681,840,522,998,984,164,732,148,224,368,704,
294,168,956,842,567,212,323,041,485,867,360,247,433,686,656,077,654,161,182,
783,922,889,899,639,968,910,030,494,951,291,484,021,854,999,767,256,713,339,
763,204,375,961,066,061,430,277,121,120,437,345,497,802,426,575,028,976,769,
695,502,451,077,962,586,788,367,079,567,813,092,538,565,085,676,083,567,501,
122,486,661,856,327,427,096,820,434,450,754,145,195,186,889,945,426,780,278,
420,321,016,168,911,345,378,204,082,030,357,758,653,821,210,833,356,264,722,
488,903,877,922,142,739,024,150,185,154,219,919,854,783,082,374,225,255,148,
091,980,677,564,199,147,431,468,374,915,875,575,546,472,009,454,586,810,464,
334,084,158,527,562,549,218,675,119,497,857,200,834,989,984,919,889,897,782,
835,863,840,371,190,668,707,115,823,302,233,185,581,076,332,482,979,962,750,
182,390,514,431,959,480,025,323,813,306,343,336,750,923,210,499,913,910,130,
340,902,701,216,580,760,151,302,910,663,905,350,166,854,700,708,625,706,117,
453,150,394,746,858,905,417,032,411,870,552,972,400,533,669,848,398,799,563,
064,032,665,861,209,275,415,807,195,007,276,662,609,829,401,501,803,360,431,
974,444,609,288,085,323,840,389,728,260,584,615,599,696,706,985,529,772,046,
355,288,794,136,224,498,691,727,335,778,176,620,537,868,448,125,216,302,688,
404,356,969,607,750,235,087,116,401,390,043,343,336,541,571,354,286,171,177,
776,135,971,323,202,073,379,799,764,605,824,516,020,532,721,851,324,312,521,
405,434,157,185,683,623,711,543,062,513,328,528,816,936,590,748,473,977,822,
650,033,931,057,468,901,589,317,132,734,031,512,053,789,597,414,019,410,765,
808,383,173,891,078,717,180,860,529,160,630,601,266,259,727,232,666,195,240,
714,849,739,618,955,334,815,889,577,828,290,720,415,763,505,446,688,663,654,
668,214,468,985,782,879,453,710,063,210,535,519,361,375,237,395,566,675,213,
944,155,382,285,263,595,441,730,817,863,296,085,011,931,488,414,530,312,814,
517,156,681,074,007,479,599,553,539,040,322,499,871,843,577,310,080,791,435,
569,895,397,583,050,315,236,703,441,998,914,605,893,977,616,884,823,646,959,
285,627,779,758,988,045,669,705,103,922,414,968,153,503,132,567,287,693,327,
349,253,485,261,456,759,791,345,199,886,981,260,018,645,838,445,849,391,074,
786,008,161,281,465,862,018,562,863,661,827,717,217,562,781,611,940,451,982,
412,398,006,572,874,299,511,659,476,363,550,327,630,871,322,084,135,703,175,
912,970,727,667,380,193,796,614,376,206,577,096,370,959,507,004,046,628,629,
528,103,070,257,713,408,658,140,908,768,548,577,244,374,375,812,848,638,590,
695,761,002,999,971,166,009,764,582,524,497,328,138,124,252,493,663,318,908,
592,900,125,975,511,636,424,179,069,701,609,159,433,540,445,756,816,367,035,
740,826,529,492,447,918,556,992,729,150,207,273,942,318,167,347,155,458,313,
369,107,149,878,670,322,777,606,647,864,119,819,324,058,679,648,814,039,951,
886,494,951,231,645,041,899,108,168,377,885,257,136,319,604,373,787,683,382,
513,836,950,065,589,269,003,634,978,127,064,821,910,085,256,205,221,345,694,
365,784,325,275,324,113,073,792,258,427,841,290,675,586,470,924,467,188,853,
507,149,120,593,500,000,682,261,972,984,959,895,052,693,591,359,369,234,839,
329,579,413,200,540,952,920,173,391,117,061,182,362,732,074,946,124,411,417,
539,660,126,210,248,234,153,047,051,272,510,587,510,633,025,774,119,364,495,
223,562,584,071,252,825,254,396,054,213,078,319,778,417,826,020,817,366,481,
820,750,291,148,804,833,387,421,620,887,228,610,690,052,340,597,418,838,299,
190,556,463,119,563,257,656,928,312,117,490,873,090,431,784,159,618,230,403,
811,882,634,437,044,583,943,962,255,874,413,598,391,175,351,794,284,148,153,
757,489,341,590,283,850,307,491,840,326,810,179,920,938,168,736,302,536,223,
373,454,528,430,314,036,586,048,032,199,751,642,695,468,370,845,169,862,096,
152,685,001,254,161,851,636,485,655,957,468,174,316,150,718,317,576,484,132,
257,921,531,815,894,710,787,177,263,755,983,467,644,770,912,916,491,022,696,
181,102,571,659,667,706,716,247,556,604,204,426,153,947,918,832,604,486,235,
903,006,378,524,758,457,628,837,942,704,745,872,184,896,209,448,269,292,684,
721,496,514,800,998,306,070,242,680,499,615,085,219,870,328,476,163,243,140,
541,295,299,388,914,059,780,174,188,093,632,236,274,397,502,414,377,730,866,
377,028,223,971,681,417,879,726,801,854,848,618,285,541,866,345,363,528,339,
088,385,737,564,304,554,779,086,444,760,577,513,426,529,310,038,936,524,110,
213,770,538,362,560,718,835,262,274,940,140,071,525,813,690,272,420,147,464,
979,927,341,928,109,219,536,977,885,624,712,618,579,870,984,429,689,987,764,
711,066,275,539,788,268,592,589,393,285,541,995,443,281,285,286,112,117,401,
402,338,261,860,773,359,010,332,677,252,691,578,572,929,827,119,703,420,196,
795,862,026,032,113,230,974,738,573,714,818,921,153,146,140,187,456,841,188,
252,464,989,792,347,869,275,902,868,041,115,944,752,567,283,636,454,982,464,
453,278,344,210,765,455,388,879,624,165,930,977,144,835,932,651,274,014,283,
501,655,977,045,968,132,147,209,377,777,021,096,146,399,101,834,907,860,051,
924,342,129,727,485,398,810,094,415,687,648,288,641,675,769,723,523,150,163,
882,104,601,511,052,410,994,698,390,641,453,362,809,342,132,122,190,106,388,
987,190,161,362,251,613,781,191,195,276,766,617,152,127,871,027,623,635,179,
734,147,234,934,792,399,132,082,228,021,663,596,708,797,981,111,647,936,389,
687,937,308,890,964,729,107,197,759,398,418,282,841,656,841,812,053,143,140,
491,873,064,778,933,740,382,765,741,248,797,023,254,487,628,317,315,750,389,
205,279,192,584,356,762,920,481,616,800,538,010,654,402,118,567,541,147,895,
878,681,937,608,161,631,070,721,544,937,312,235,937,765,328,414,568,773,566,
230,982,710,127,889,604,396,954,170,950,363,259,452,488,954,401,669,905,495,
247,928,954,568,003,960,968,931,764,626,033,928,822,506,651,408,187,031,329,
368,530,111,866,940,988,418,853,203,526,550,798,669,168,663,604,437,702,678,
576,937,394,412,455,880,682,275,432,635,608,499,737,449,033,818,845,204,399,
876,234,131,657,714,278,221,212,827,966,827,147,564,040,255,438,086,113,730,
561,319,962,623,950,662,595,793,381,940,757,349,904,342,662,195,207,366,251,
674,022,549,086,784,704,359,829,612,706,973,420,507,987,824,996,640,013,745,
841,365,946,192,011,931,305,282,259,269,764,924,690,166,769,961,517,707,459,
412,269,619,301,812,192,102,553,632,583,416,260,921,695,181,090,555,537,810,
733,356,073,753,109,070,042,486,084,271,704,486,547,347,982,396,672,380,685,
829,135,780,124,654,990,802,384,301,401,506,159,820,836,851,354,626,276,936,
608,840,870,221,038,019,912,444,407,485,359,382,780,571,140,627,553,808,142,
739,715,072,148,238,891,253,490,483,946,507,999,137,700,152,185,657,645,059,
304,405,568,396,202,278,070,921,607,276,712,133,539,634,190,538,719,213,224,
498,583,720,536,724,328,862,526,454,129,899,636,181,525,761,440,112,258,414,
527,698,792,204,841,363,971,303,672,280,007,339,510,743,868,037,012,340,592,
417,950,127,710,465,849,251,406,376,411,060,713,098,172,924,621,736,577,363,
624,963,355,234,299,939,392,029,327,158,329,497,082,942,157,263,427,009,257,
289,277,636,253,098,843,216,038,111,226,824,284,333,994,465,539,526,848,536,
723,531,247,107,356,079,714,955,864,405,364,236,298,800,679,363,581,371,486,
956,204,856,196,766,063,274,471,054,773,295,261,929,197,508,586,817,452,255,
964,730,042,444,256,655,226,308,141,475,248,607,984,649,696,003,290,654,287,
027,328,522,271,478,493,505,347,678,162,127,471,106,023,486,692,005,213,023,
336,574,814,414,524,068,786,521,806,556,195,266,539,260,250,183,746,728,294,
190,865,855,855,040,473,301,672,605,421,215,688,513,555,723,144,700,861,363,
438,026,943,523,588,681,568,363,958,180,255,055,064,266,630,937,693,144,054,
226,013,320,508,831,734,116,429,061,879,348,680,066,247,094,540,628,010,450,
947,701,775,392,818,900,042,181,338,926,003,787,544,448,673,051,608,898,518,
622,605,823,061,574,224,233,120,891,642,906,608,388,269,302,171,341,727,892,
385,674,613,233,007,308,214,804,400,032,722,285,735,813,910,660,599,290,298,
701,898,806,956,507,300,876,059,783,756,522,105,341,942,251,826,929,402,510,
458,357,394,318,068,907,205,694,256,406,462,643,055,899,971,119,701,207,424,
582,981,986,157,736,939,287,883,767,685,050,845,466,068,608,102,705,660,879,
667,642,123,651,908,981,204,996,944,226,180,122,750,740,484,869,459,677,478,
308,713,606,121,905,463,877,327,880,336,212,262,959,109,476,255,732,663,575,
204,715,472,695,528,153,029,398,606,129,364,978,645,764,402,830,289,811,174,
556,592,245,541,901,538,477,354,325,440,993,756,633,553,829,622,373,671,818,
455,757,681,637,479,915,707,079,993,356,550,669,411,364,157,544,278,300,602,
679,654,465,708,240,883,319,046,717,425,872,276,726,202,159,879,269,216,735,
357,508,795,252,873,059,197,257,200,111,857,418,239,449,573,552,019,339,949,
709,761,797,149,430,536,091,828,120,478,200,907,810,752,426,755,030,182,647,
326,637,854,240,044,040,570,054,857,551,079,872,064,203,392,758,231,452,308,
175,041,392,413,745,045,900,151,008,813,509,609,373,599,071,951,578,495,856,
822,312,413,056,902,258,314,568,353,445,305,898,410,058,221,814,592,984,718,
554,901,602,998,061,344,867,582,261,830,470,932,799,266,582,946,471,052,979,
605,654,335,276,651,443,340,146,094,955,186,670,219,258,571,998,962,655,496,
327,380,168,524,928,578,215,997,113,491,442,132,743,556,096,920,152,283,366,
969,622,610,875,832,706,350,576,689,815,240,225,489,508,715,714,830,595,886,
055,703,360,099,453,298,812,577,710,139,533,608,291,476,200,401,367,367,511,
590,979,523,194,089,753,902,275,692,064,729,137,537,158,515,179,252,299,398,
575,831,690,677,900,823,619,344,603,818,471,063,069,056,130,474,131,888,676,
526,444,906,572,810,464,565,358,551,116,952,284,161,521,241,327,047,601,678,
454,875,970,209,953,618,463,405,653,895,221,724,059,639,372,076,116,202,632,
743,150,335,217,250,148,151,890,189,358,498,366,881,494,852,241,283,311,321,
611,866,089,473,920,643,594,760,520,647,450,732,368,491,063,402,279,231,822,
035,837,263,571,604,909,902,468,892,984,977,333,235,800,127,358,924,328,240,
571,341,741,414,641,995,335,586,490,113,983,962,908,800,173,297,974,841,639,
877,556,068,812,638,218,316,063,290,218,778,281,035,740,688,990,161,719,036,
378,062,693,996,273,996,563,229,943,222,120,979,127,113,026,633,413,961,138,
649,239,680,226,219,571,330,571,236,690,463,256,788,012,469,014,590,560,861,
844,699,719,253,009,232,599,324,679,089,262,511,861,235,685,235,239,778,363,
495,236,256,840,799,063,395,334,287,550,290,040,040,940,339,989,880,848,258,
566,117,303,841,551,220,740,944,134,239,871,059,265,234,021,404,037,334,566,
681,704,667,199,545,984,451,709,151,638,865,157,585,499,989,345,353,357,738,
080,761,614,872,446,110,957,334,032,175,121,739,016,969,292,814,373,041,608,
920,066,019,131,137,114,092,893,304,948,213,353,281,896,779,786,932,500,762,
300,586,109,836,674,437,483,811,026,942,839,407,314,416,116,357,165,600,479,
211,197,501,164,280,042,117,014,145,513,106,307,092,546,181,793,698,750,740,
350,615,951,398,392,735,473,006,100,751,840,325,229,099,299,996,805,203,193,
095,679,721,992,696,341,247,683,585,739,164,972,909,190,734,410,528,797,240,
215,825,447,467,759,054,237,646,854,323,370,036,168,906,966,525,648,806,096,
882,279,782,786,309,383,654,469,989,203,280,170,408,024,268,247,694,512,803,
434,135,773,483,533,545,401,386,759,433,060,676,763,681,436,833,194,783,413,
565,020,366,961,458,918,370,194,078,544,214,440,794,437,666,503,849,127,098,
723,301,553,541,918,740,304,953,260,223,232,072,414,178,913,000,508,980,716,
580,537,650,140,608,993,777,158,633,992,622,198,791,412,900,812,877,967,086,
089,724,158,339,472,870,671,809,163,018,059,853,058,598,267,919,954,395,258,
520,918,165,436,995,848,321,504,142,811,925,774,730,899,961,652,819,844,939,
524,044,756,664,544,132,696,854,684,704,500,746,674,166,489,814,901,211,661,
381,741,636,418,966,406,939,682,151,910,825,060,630,369,230,683,077,046,544,
072,180,480,290,289,404,939,843,287,362,350,332,922,406,884,343,757,524,812,
061,157,109,348,673,962,234,286,122,412,267,565,532,563,636,327,730,981,347,
811,306,289,075,122,975,144,520,077,239,881,377,923,172,012,915,489,113,245,
688,706,484,279,594,390,104,937,360,774,786,158,994,149,172,346,714,959,417,
773,607,883,228,635,018,971,694,390,177,330,044,231,059,024,010,864,070,077,
780,242,424,927,399,070,784,370,613,779,547,360,034,091,563,706,640,918,899,
191,226,347,809,519,335,800,159,900,492,533,804,339,402,569,839,060,954,419,
519,003,515,681,523,438,217,877,690,640,013,314,369,807,355,100,760,566,352,
957,914,468,209,856,924,914,398,187,701,837,519,882,053,100,068,665,458,502,
615,811,774,602,190,442,696,474,715,476,775,758,651,138,967,863,685,260,791,
698,285,404,539,119,909,168,182,111,442,727,397,653,733,623,161,572,746,650,
198,447,988,189,070,238,818,902,479,453,518,560,799,891,586,726,492,288,409,
853,721,240,165,179,768,943,262,202,931,184,249,481,351,749,715,909,348,536,
640,228,431,649,683,616,003,583,773,907,372,843,101,848,822,439,597,074,742,
389,203,392,045,088,488,986,848,169,294,818,986,657,058,535,887,726,879,074,
039,726,528,734,518,604,686,254,340,159,798,921,308,824,262,403,826,860,982,
241,100,486,522,568,874,272,148,673,569,013,828,942,840,520,981,260,121,667,
402,318,609,282,782,593,191,398,194,095,366,018,860,276,183,447,780,222,275,
070,457,303,242,226,620,230,949,092,537,157,031,254,237,297,239,131,418,661,
066,836,922,339,044,171,344,168,054,544,403,100,816,776,101,287,042,627,767,
825,621,205,197,642,311,671,454,221,754,740,216,494,334,474,990,334,933,065,
350,721,727,925,765,846,566,716,740,103,138,918,989,040,117,732,661,675,871,
381,203,201,531,660,924,330,018,051,723,312,591,293,517,366,338,576,599,292,
812,765,197,791,833,060,947,034,700,835,874,739,781,562,595,681,261,745,418,
767,338,129,897,168,956,903,296,077,571,344,575,320,374,851,687,914,067,598,
457,079,920,137,560,406,903,712,112,666,161,103,325,345,912,300,719,846,903,
773,883,352,606,479,789,423,430,663,258,691,224,368,968,428,424,052,666,289,
668,763,017,761,878,759,615,864,631,944,158,407,531,054,116,296,775,809,897,
948,703,817,696,609,366,245,662,094,555,084,743,027,851,745,961,044,804,214,
642,250,086,433,950,488,054,867,107,538,983,956,204,564,106,438,758,084,408,
663,982,370,159,478,142,750,259,262,046,001,723,797,981,656,273,369,591,193,
213,029,124,779,413,817,627,132,972,555,724,111,292,867,974,196,721,467,538,
205,120,485,966,069,953,279,256,738,421,934,218,920,258,897,699,056,716,906,
407,655,215,811,922,666,664,840,782,925,748,218,122,455,337,258,861,820,480,
777,573,186,030,429,291,532,882,553,653,008,612,446,769,800,130,426,387,654,
400,266,601,477,734,423,600,934,737,912,821,365,691,417,704,837,747,164,254,
144,248,729,120,455,438,591,379,433,442,730,406,254,049,934,608,357,366,737,
470,871,111,802,190,505,970,648,069,043,177,965,722,458,684,421,212,104,018,
390,479,132,129,010,279,830,667,110,201,686,664,800,872,555,650,860,871,336,
803,577,268,791,586,731,353,303,619,157,961,469,728,197,433,274,564,509,689,
222,815,069,684,664,915,282,707,737,134,947,051,279,925,214,204,097,380,816,
241,971,068,617,199,132,582,349,735,385,044,201,756,989,813,859,547,563,888,
734,933,195,565,734,511,968,107,934,040,825,093,878,978,937,154,684,191,407,
135,252,416,046,167,531,987,946,775,679,855,413,173,411,973,661,579,102,234,
375,339,526,790,837,213,540,583,582,724,593,841,881,807,730,152,413,736,376,
063,642,876,053,939,146,792,534,104,296,595,952,002,276,694,431,256,085,157,
798,355,584,200,523,548,549,027,267,248,074,057,146,145,554,109,477,049,504,
068,253,729,001,548,956,217,246,772,557,754,181,470,451,331,175,296,031,367,
777,753,002,882,902,330,453,453,152,110,381,449,639,076,672,348,487,571,709,
024,827,577,280,037,608,745,426,394,412,258,174,414,716,831,889,287,416,571,
171,679,502,724,743,024,920,596,746,231,033,488,131,371,984,931,670,520,896,
957,283,315,276,905,443,014,812,102,078,363,837,112,806,091,626,440,699,268,
768,119,382,325,860,812,430,731,650,138,579,841,779,600,884,430,586,948,762,
248,762,525,357,628,807,796,121,757,203,594,434,104,119,405,026,475,741,326,
243,268,558,940,977,903,640,693,271,740,105,471,491,831,675,772,741,057,604,
639,791,287,239,764,866,911,593,728,819,664,512,569,950,689,087,479,981,169,
932,969,266,140,477,062,387,221,449,760,208,635,513,719,187,606,206,080,915,
315,427,195,106,386,882,811,767,723,038,202,459,939,635,828,958,952,739,769,
244,836,619,374,398,646,166,392,425,646,257,088,654,835,383,359,100,991,229,
969,228,325,544,715,304,251,104,127,093,255,923,656,811,823,547,149,910,484,
549,217,891,584,037,363,675,648,665,733,028,780,404,515,668,738,978,145,641,
676,016,895,455,976,135,547,431,828,839,206,989,944,178,846,742,529,697,135,
615,963,553,567,676,550,229,579,347,142,721,863,746,448,937,913,962,859,422,
045,017,086,014,340,139,442,125,565,791,323,734,225,910,292,133,827,222,721,
217,912,583,046,232,727,778,448,103,562,254,974,353,357,793,297,596,608,465,
017,287,691,906,267,824,486,439,462,634,072,086,213,832,471,468,649,804,830,
310,354,933,353,807,060,194,754,600,383,359,668,018,340,180,073,005,929,338,
081,695,442,646,363,638,692,393,515,554,135,778,925,057,057,786,723,524,067,
687,236,313,286,609,543,706,065,021,519,139,728,049,782,952,323,383,244,947,
462,050,834,553,134,397,447,549,770,864,646,074,580,999,395,707,503,517,850,
737,768,026,750,307,242,678,623,891,820,337,896,133,130,292,636,996,027,727,
785,366,964,760,048,781,743,458,257,917,848,926,883,593,858,632,708,430,679,
115,328,623,937,730,597,759,781,550,789,633,722,638,329,197,286,601,175,205,
155,030,537,339,484,393,330,197,043,816,960,939,567,224,818,640,322,574,039,
275,701,388,377,342,165,531,943,163,704,522,979,180,777,653,235,885,976,191,
757,830,653,440,776,564,529,394,832,208,762,280,905,858,552,833,388,580,542,
488,203,063,934,614,701,270,616,364,543,571,977,944,415,969,704,945,938,023,
759,310,613,330,462,883,361,075,428,981,841,085,786,323,153,059,336,484,691,
219,661,675,951,520,262,404,626,839,879,502,415,203,115,299,898,089,153,369,
236,628,459,841,339,634,198,798,193,868,175,845,801,419,145,981,209,587,238,
321,241,022,308,208,826,874,455,204,062,677,772,147,116,235,106,510,288,775,
354,854,867,723,167,614,610,198,611,387,959,296,050,367,150,147,916,995,016,
987,287,182,047,959,083,677,883,274,946,590,051,012,130,213,145,935,774,946,
677,883,514,016,753,513,430,244,984,080,269,331,941,832,505,578,750,525,697,
285,986,842,848,934,499,514,702,057,171,777,535,470,651,599,155,487,550,985,
223,488,058,242,009,840,052,222,618,774,701,463,132,578,009,547,704,876,781,
711,536,963,059,302,868,856,123,657,846,840,698,733,446,951,289,217,159,911,
352,729,001,425,025,025,611,145,577,274,159,508,859,514,794,918,416,522,931,
131,215,731,034,265,973,577,835,414,448,032,561,047,630,306,812,487,661,748,
952,157,643,462,795,371,680,457,554,064,005,458,316,288,229,998,610,944,774,
250,382,603,738,361,074,868,064,489,686,687,137,528,492,338,022,082,567,817,
067,547,996,559,667,366,183,931,894,620,050,964,577,628,604,793,309,601,186,
244,185,919,257,754,000,893,446,378,024,406,213,999,062,449,250,992,578,926,
283,894,360,543,077,640,944,875,983,145,394,666,326,952,086,510,347,480,772,
777,438,757,498,721,483,538,550,527,918,706,490,100,216,471,944,743,180,987,
273,534,971,413,528,967,067,438,691,597,909,088,311,132,191,551,494,434,775,
692,387,476,196,626,833,114,033,022,938,945,120,202,362,941,261,923,776,556,
347,735,357,501,152,812,485,402,394,346,073,170,736,848,267,878,591,006,878,
180,881,606,134,474,151,163,252,742,075,094,931,195,834,600,999,734,720,936,
865,473,965,794,280,776,648,845,489,196,018,540,977,775,140,699,795,328,951,
691,196,053,212,264,147,377,053,406,780,184,857,880,566,482,258,214,329,375,
368,302,304,805,138,251,497,269,734,678,956,086,913,329,026,808,509,918,551,
865,321,175,208,381,019,806,768,450,674,955,461,230,947,845,964,614,601,583,
820,462,037,496,225,573,104,295,483,449,860,384,517,382,656,908,393,299,208,
344,757,546,282,929,063,057,885,577,417,656,795,263,462,622,049,923,849,570,
812,821,992,501,479,405,016,953,311,330,803,948,400,252,464,232,095,225,674,
572,658,061,792,693,386,401,143,832,697,946,289,644,805,517,933,344,905,862,
905,537,609,657,091,732,416,867,627,582,501,656,752,922,800,415,172,309,699,
938,294,611,851,001,338,345,112,877,873,793,700,239,675,282,510,683,850,606,
160,010,469,713,934,189,883,436,611,377,474,218,333,326,909,301,767,170,701,
455,115,899,626,993,316,093,902,500,816,279,418,272,330,000,167,323,723,693,
865,746,212,207,907,145,092,830,938,363,317,623,571,878,386,073,195,020,972,
535,938,147,387,818,988,067,104,066,835,566,249,083,349,446,277,813,095,883,
773,616,514,035,854,525,376,413,594,373,504,513,727,379,991,335,895,764,883,
897,566,865,868,736,188,570,649,048,764,148,249,155,740,349,415,631,566,118,
857,540,398,120,207,141,661,643,549,186,224,099,670,037,019,929,491,565,660,
988,042,117,058,037,529,831,094,130,683,102,728,157,864,314,123,017,098,421,
298,230,064,638,837,986,049,804,746,590,901,967,528,324,638,646,102,288,756,
714,718,109,314,561,595,361,799,358,452,865,231,133,699,658,264,666,074,039,
273,069,618,846,603,083,347,818,936,667,746,825,618,952,622,642,070,377,512,
430,945,177,998,444,816,807,838,265,777,417,951,766,513,593,545,687,313,597,
116,031,820,266,472,271,359,789,637,072,929,248,363,537,141,181,711,597,648,
450,045,990,242,142,178,211,993,000,381,381,546,991,543,597,674,645,430,235,
867,385,608,526,792,942,464,750,983,364,791,938,493,388,594,025,776,405,000,
992,368,509,457,373,757,781,397,177,727,417,961,175,069,740,988,727,356,400,
176,520,448,291,112,352,213,717,983,428,629,288,236,653,743,695,975,404,069,
625,694,330,754,669,901,007,918,543,275,116,912,399,141,426,755,764,263,654,
814,210,384,860,223,020,215,907,144,594,409,424,633,745,855,564,840,551,863,
537,091,609,991,848,552,919,199,713,546,051,018,750,464,867,060,938,614,821,
782,438,966,579,789,735,532,846,853,669,689,693,614,489,334,936,839,632,520,
554,301,352,906,442,423,287,217,335,489,308,212,312,789,928,765,073,267,107,
714,907,528,252,027,223,511,842,182,519,060,728,024,260,041,048,532,904,023,
743,370,043,005,517,691,184,254,510,237,392,280,653,199,757,276,357,878,627,
346,565,128,228,878,212,083,614,552,177,538,517,765,053,704,226,905,547,268,
994,857,664,395,172,956,875,600,488,724,420,132,800,461,757,170,585,365,545,
268,793,336,513,465,695,187,835,663,848,620,738,481,287,683,678,878,859,210,
724,916,093,763,952,877,206,014,942,497,608,958,665,521,621,878,123,946,488,
302,045,721,383,895,405,638,559,955,673,439,569,460,544,685,330,595,824,805,
964,096,323,249,694,565,701,830,184,585,732,101,293,320,267,641,513,076,396,
664,325,977,814,448,308,611,130,593,651,507,279,521,345,397,693,508,648,339,
805,531,361,519,764,435,297,289,781,977,080,971,068,296,324,658,053,426,429,
477,029,499,512,406,672,234,519,034,181,237,918,895,395,383,816,619,292,631,
829,396,102,920,434,070,167,082,178,837,095,785,931,457,540,306,099,630,709,
777,501,489,932,133,931,213,752,659,947,361,525,253,664,131,602,967,156,650,
180,549,138,711,259,759,922,329,477,886,025,994,983,960,052,455,279,694,318,
108,995,434,503,812,419,539,310,915,519,462,387,148,523,609,801,541,328,042,
426,035,294,526,119,021,242,710,153,467,164,139,636,005,120,879,781,523,882,
277,862,875,569,170,988,114,812,594,814,386,133,811,588,147,678,174,314,652,
240,547,813,873,213,906,657,296,614,902,672,243,090,647,835,931,698,305,809,
744,415,934,008,391,559,750,128,260,398,803,106,412,601,151,389,193,725,327,
079,697,384,598,740,945,241,126,006,685,825,737,004,658,592,818,182,167,230,
582,838,664,673,988,010,175,859,931,610,626,676,482,948,421,896,633,378,873,
497,669,744,730,283,794,314,292,000,722,422,239,545,926,992,470,580,319,756,
471,873,288,659,151,597,004,342,061,880,999,975,382,871,484,231,890,115,452,
985,494,073,656,783,628,654,737,371,792,146,919,634,859,479,628,471,554,594,
922,498,199,525,467,503,903,182,303,733,928,859,941,424,699,855,909,920,613,
798,219,654,181,462,401,823,586,318,251,094,289,398,269,610,924,058,179,587,
791,201,489,662,715,698,386,183,912,414,015,175,095,334,443,592,061,415,423,
935,902,800,979,616,666,519,169,564,229,256,391,233,894,903,418,997,702,079,
993,471,126,542,502,925,209,806,778,025,408,911,730,091,247,236,302,436,061,
081,588,634,373,963,655,278,970,225,445,742,001,972,880,489,958,477,441,424,
038,589,832,326,055,316,098,247,471,003,679,427,796,097,408,418,662,134,159,
794,385,794,534,418,265,627,586,412,675,197,961,857,263,490,209,566,191,135,
721,841,381,207,868,528,012,793,019,577,400,758,866,982,922,836,156,234,104,
171,521,251,464,119,570,357,094,376,785,549,276,291,844,173,395,573,117,090,
568,847,664,209,082,250,013,684,516,637,825,149,709,161,865,696,876,713,671,
090,774,111,552,970,241,540,048,578,888,924,192,514,008,275,188,244,140,186,
143,886,674,817,589,680,555,119,386,423,473,523,433,783,617,008,697,465,170,
153,249,961,425,126,953,386,384,412,754,409,808,876,568,510,409,855,386,015,
393,001,614,558,201,312,090,766,431,099,751,568,215,299,127,576,071,773,805,
841,097,226,548,011,236,069,029,288,019,137,034,048,623,948,273,006,765,109,
777,932,796,232,482,519,905,236,564,047,279,492,746,637,865,141,390,450,110,
793,320,544,899,863,117,842,605,376,992,074,088,617,869,175,469,622,529,462,
909,319,155,690,170,065,646,274,577,782,227,172,590,756,784,857,780,907,711,
118,169,232,288,059,252,885,140,543,939,812,374,346,275,799,663,371,464,661,
068,964,346,407,040,072,421,041,063,213,241,663,217,490,092,935,213,714,010,
358,297,460,391,847,093,722,528,045,593,689,240,369,271,854,783,569,442,459,
782,861,256,604,374,239,891,967,160,061,657,595,349,124,249,226,395,529,658,
166,072,254,064,806,726,725,520,299,433,064,008,031,104,362,177,146,180,923,
160,568,752,623,759,955,165,161,215,202,594,840,778,321,471,957,948,998,237,
696,901,433,330,699,751,877,540,201,010,235,496,280,203,528,670,483,860,926,
949,426,369,710,063,317,358,005,218,668,745,964,759,472,916,332,878,653,705,
910,622,161,222,537,729,820,530,261,211,235,623,020,019,211,117,892,867,270,
913,785,142,180,167,672,190,372,992,882,653,143,155,653,493,156,976,024,887,
967,593,588,405,632,812,247,674,387,757,555,862,007,099,684,165,854,941,682,
812,103,162,701,828,156,963,975,648,319,806,259,167,854,875,119,547,723,273,
697,436,954,511,023,493,061,764,171,670,104,332,810,374,104,675,155,329,086,
405,743,792,184,985,922,583,635,440,097,347,622,971,891,601,262,410,349,547,
593,638,095,424,458,415,750,160,003,116,746,234,674,990,802,895,638,655,475,
725,328,713,239,150,108,922,131,066,908,672,470,800,083,479,640,959,524,520,
220,974,803,357,759,689,391,996,607,214,902,748,518,749,136,024,678,374,637,
203,862,987,192,491,698,641,650,685,110,976,745,020,575,533,583,183,215,991,
748,066,446,779,641,507,275,972,247,977,782,192,315,457,321,261,087,536,632,
931,282,907,564,232,534,677,239,788,232,911,027,439,432,090,834,986,375,834,
913,572,045,226,028,087,138,393,298,874,529,891,375,523,719,836,881,101,893,
934,886,898,872,803,454,701,632,788,230,594,951,073,717,406,556,172,594,303,
286,165,997,266,190,301,955,841,129,581,271,636,637,491,731,009,998,143,653,
143,165,894,403,267,876,548,595,214,342,351,019,406,364,497,820,326,915,558,
601,780,573,610,345,922,853,526,026,660,827,909,082,616,871,209,329,693,917,
139,777,931,216,315,309,392,845,255,796,431,341,651,845,291,156,182,192,367,
244,262,924,473,752,298,149,705,686,077,736,700,022,149,654,330,640,143,197,
003,092,945,823,798,948,556,168,165,495,285,277,411,343,472,955,757,685,257,
901,416,575,099,365,022,295,268,166,098,938,398,019,122,309,756,375,817,469,
194,575,673,669,432,639,771,442,527,263,181,408,496,076,131,173,467,841,175,
749,942,143,701,330,206,989,153,282,894,255,913,909,142,492,958,027,280,554,
606,143,443,227,447,770,807,114,982,657,507,226,960,794,264,646,087,722,915,
299,491,737,850,764,155,177,532,225,506,812,204,368,183,346,741,712,642,757,
279,833,849,814,655,509,573,286,150,889,574,942,034,389,794,731,460,693,901,
752,135,125,457,732,819,609,734,749,100,008,397,168,804,396,405,631,353,977,
687,096,788,821,462,014,398,794,544,263,619,855,160,076,392,642,118,313,262,
313,649,884,401,645,376,544,413,981,886,643,300,196,434,919,494,100,280,482,
707,277,597,920,070,841,968,076,853,981,278,714,091,992,203,735,666,120,137,
560,233,150,256,880,181,254,943,882,902,369,808,936,014,306,222,088,394,421,
247,181,374,626,745,810,349,181,955,147,136,182,877,231,213,889,929,981,252,
628,481,303,180,554,055,616,969,980,312,821,480,488,368,976,806,957,146,669,
396,231,646,852,848,561,946,925,530,400,632,742,232,184,427,756,731,497,741,
562,692,551,138,041,363,503,891,053,402,430,672,644,796,562,060,689,001,033,
911,532,810,567,181,026,402,336,973,398,341,095,731,855,058,340,028,302,174,
534,833,029,363,497,940,268,834,950,399,852,809,316,984,063,277,592,122,302,
763,499,432,247,678,920,785,306,498,245,481,711,212,207,895,459,913,278,264,
325,919,754,758,281,123,299,356,281,462,203,246,723,095,545,602,285,032,276,
189,599,728,374,687,818,055,400,315,394,844,755,230,421,915,337,358,293,870,
273,662,213,908,953,496,430,682,352,036,051,953,553,768,484,023,271,509,517,
470,663,257,979,175,445,581,832,270,297,448,842,811,905,193,268,597,930,228,
399,059,406,171,911,402,927,851,387,931,315,733,010,730,509,859,285,645,470,
222,287,506,565,168,556,549,725,780,615,724,177,457,186,994,293,767,044,662,
756,391,643,344,285,140,404,559,531,161,707,159,818,856,115,099,183,682,479,
973,999,887,175,659,774,089,385,660,650,376,441,936,438,804,986,695,070,131,
021,217,218,921,649,773,171,815,954,665,078,349,144,233,260,928,930,781,553,
454,329,857,587,017,458,904,818,814,739,835,490,927,204,290,062,967,986,721,
780,673,530,030,104,914,197,649,250,530,129,884,052,285,493,947,973,379,886,
595,366,615,781,436,551,472,608,568,853,467,329,523,427,857,614,979,416,202,
288,468,150,221,629,202,878,652,584,978,154,822,378,345,498,442,918,971,632,
138,720,697,521,309,371,350,768,068,050,773,211,163,829,954,624,330,209,635,
462,830,820,711,859,869,844,280,491,459,784,414,120,803,840,162,722,654,316,
164,975,491,333,497,024,070,414,554,906,613,713,889,015,811,763,704,564,549,
566,985,620,272,679,151,181,595,817,109,905,987,406,465,412,719,934,813,927,
515,803,236,775,309,920,738,451,503,328,449,956,283,827,224,596,585,513,480,
579,419,853,467,011,367,450,326,040,374,237,131,997,793,226,666,162,391,271,
332,154,622,459,972,404,600,270,591,466,727,188,587,289,872,764,436,140,044,
629,786,156,999,576,252,932,423,773,667,210,115,498,978,278,374,143,087,209,
273,424,531,666,741,164,981,444,993,890,928,021,470,026,896,342,813,648,315,
463,513,699,955,052,289,005,140,209,033,762,498,018,301,752,863,465,778,456,
842,186,072,840,616,400,462,083,831,797,003,121,219,393,717,007,101,701,594,
282,767,948,839,059,077,370,496,043,012,776,593,524,859,194,415,279,299,942,
911,674,190,357,200,765,395,873,949,944,668,752,618,151,186,222,279,512,424,
195,628,708,973,895,031,298,587,083,699,372,346,037,156,472,683,698,302,808,
757,655,606,681,365,876,003,826,085,611,355,482,477,655,222,657,944,991,269,
957,685,084,509,918,561,708,148,008,789,473,402,511,381,736,682,603,608,168,
070,127,421,929,326,245,387,224,195,677,457,540,030,664,787,127,168,852,191,
769,667,680,282,868,423,029,807,000,124,206,654,844,167,127,949,928,186,475,
138,110,808,861,403,631,385,520,964,247,010,329,613,533,759,113,626,468,328,
110,385,918,276,519,857,845,194,226,511,457,707,282,460,939,459,161,116,918,
477,851,844,681,976,578,060,891,480,585,071,216,253,699,059,325,979,284,646,
352,811,396,856,259,002,787,895,067,258,683,918,499,950,096,580,751,703,116,
795,958,873,151,276,269,955,176,889,250,239,907,937,164,605,003,833,378,827,
668,375,566,039,587,452,822,639,557,296,457,757,107,494,933,743,957,699,169,
234,979,604,754,100,860,981,890,428,044,873,458,184,417,187,773,449,390,693,
491,483,659,848,019,516,752,231,510,775,716,718,672,018,686,107,158,155,360,
285,286,929,831,076,182,897,469,487,417,360,097,646,557,773,590,346,564,315,
136,087,733,916,385,665,846,642,213,677,068,062,478,381,989,201,448,939,930,
974,051,143,498,858,143,157,282,949,931,103,848,810,070,458,177,292,008,730,
920,129,370,030,620,354,786,370,276,290,484,896,645,075,697,278,364,727,860,
268,336,690,901,057,576,864,270,147,312,921,488,402,980,068,853,863,259,183,
222,162,955,948,761,245,847,542,117,597,200,052,469,899,313,184,148,923,860,
953,258,135,503,342,340,983,560,418,509,291,897,406,328,405,977,026,243,576,
966,112,932,197,865,614,096,754,071,521,642,869,821,334,700,226,384,707,397,
726,555,598,009,066,863,674,422,643,195,389,431,854,557,751,420,973,952,833,
839,839,051,070,943,517,808,016,847,119,340,931,323,749,957,078,883,813,668,
751,854,784,779,009,969,729,944,877,703,130,523,838,591,172,289,153,384,825,
476,192,123,899,317,045,942,488,229,976,597,030,888,191,128,179,731,988,184,
274,853,916,090,792,989,430,833,816,669,937,833,183,513,384,511,948,564,717,
115,890,577,298,429,737,129,200,412,561,847,214,631,177,759,231,327,168,583,
662,193,617,689,921,059,180,264,795,259,708,630,049,250,255,568,221,392,341,
587,537,516,752,840,779,743,132,348,043,725,234,738,518,496,080,888,020,211,
928,397,837,542,371,607,885,036,514,737,872,871,003,079,227,135,392,657,291,
807,412,213,296,484,706,095,234,238,538,532,211,731,961,582,630,219,341,396,
288,386,340,859,315,599,076,238,935,915,513,101,533,340,025,046,713,205,355,
810,786,138,563,027,473,164,937,280,283,495,124,414,328,854,435,084,939,742,
834,591,366,999,766,801,767,938,535,161,899,966,711,052,432,796,338,372,984,
170,061,160,434,474,282,690,278,697,028,129,693,829,069,437,273,833,050,515,
985,861,135,027,168,836,788,860,646,053,938,289,557,313,516,563,055,603,942,
751,455,212,013,440,472,889,348,056,553,447,119,112,314,238,618,007,699,379,
335,288,417,665,198,996,381,432,501,674,120,678,154,767,367,141,953,503,421,
909,501,716,190,199,285,036,488,297,933,048,941,484,570,766,241,014,722,647,
790,440,259,780,040,108,056,755,919,183,421,784,962,187,854,878,452,802,574,
258,274,362,913,221,467,174,121,603,119,630,487,216,280,563,832,218,585,567,
408,125,586,621,903,639,498,561,592,282,044,930,470,591,873,388,161,204,569,
749,301,736,261,409,773,385,427,222,701,136,335,284,543,112,764,991,044,637,
465,236,999,888,308,252,381,381,068,731,231,541,985,308,807,588,601,811,523,
572,599,933,853,169,996,303,601,721,306,101,623,413,212,481,491,669,156,649,
585,139,377,315,498,278,920,032,533,214,185,987,524,393,177,974,830,241,434,
650,937,742,169,570,297,572,846,862,343,473,731,100,102,282,434,183,866,865,
791,168,130,586,387,321,560,601,783,597,900,664,263,371,563,005,184,627,239,
225,626,664,135,262,397,472,330,367,700,533,997,587,845,950,701,161,382,788,
509,328,058,767,350,877,891,553,109,676,032,365,284,018,291,758,844,437,272,
246,169,784,204,467,080,321,756,708,904,452,322,456,332,148,834,610,997,023,
866,695,384,467,933,456,249,719,413,863,321,473,795,879,178,843,196,906,824,
915,655,430,018,604,210,609,408,450,062,873,019,437,428,129,098,771,569,849,
041,459,525,306,020,309,810,774,567,980,941,026,142,708,171,008,743,069,340,
520,697,047,959,456,250,478,685,014,269,994,080,352,636,967,710,368,100,408,
613,316,095,515,728,273,007,936,164,621,633,583,341,407,359,970,981,528,830,
249,349,786,537,162,220,627,704,919,397,727,726,541,290,363,713,359,759,796,
522,942,780,055,420,482,764,957,763,962,386,271,584,568,200,353,122,433,087,
743,273,357,985,420,226,235,359,101,056,709,693,089,275,650,726,923,553,173,
722,101,882,951,685,702,626,785,190,315,533,649,856,066,310,759,287,170,536,
054,642,572,268,833,285,605,866,878,477,948,304,023,349,605,872,575,388,618,
115,122,910,642,926,198,264,191,401,636,343,371,537,265,551,370,447,755,998,
861,241,264,449,516,985,992,144,101,886,035,759,185,402,862,697,128,835,258,
543,534,858,784,423,835,381,750,108,788,318,781,821,884,236,907,420,548,825,
522,635,871,126,249,881,038,799,909,659,898,090,006,242,654,168,407,182,283,
120,533,418,774,825,503,759,399,504,710,768,982,790,050,490,988,966,265,338,
012,245,493,542,274,736,718,460,255,093,461,253,909,891,536,371,584,891,730,
912,831,310,067,231,327,720,009,773,121,749,068,206,241,511,323,821,624,826,
829,233,527,427,884,894,734,316,846,534,017,432,365,892,858,402,370,326,684,
655,806,172,933,706,398,512,552,350,358,345,670,824,224,454,468,595,883,961,
401,597,721,070,816,448,505,282,662,783,436,561,975,808,888,217,367,151,820,
426,018,511,129,450,310,207,739,656,296,339,752,075,329,359,246,251,907,733,
686,995,180,496,844,143,544,547,625,159,105,021,487,465,164,055,388,586,688,
708,083,365,583,222,051,368,144,639,372,468,259,795,537,043,671,168,441,122,
334,558,531,556,716,247,731,222,826,412,464,376,329,159,983,503,047,441,208,
012,496,842,807,415,589,930,354,786,472,280,915,107,701,794,422,841,989,246,
876,331,735,080,621,233,531,083,814,783,300,769,013,767,565,884,561,706,161,
161,872,283,181,002,240,360,854,110,727,165,389,005,875,537,587,984,699,923,
699,093,278,171,999,216,985,583,686,556,206,307,485,162,808,036,456,941,060,
727,774,716,575,429,833,175,282,675,045,801,603,786,807,954,977,406,495,291,
951,387,187,384,245,541,388,443,858,521,961,526,108,368,625,736,928,480,400,
462,558,316,645,352,110,669,222,397,225,962,719,900,869,522,806,371,205,306,
843,652,212,723,337,005,559,883,425,811,216,406,198,284,374,008,851,318,674,
443,296,859,732,688,143,997,390,239,953,559,339,922,128,777,411,198,848,298,
931,852,719,846,361,336,716,556,328,401,675,907,643,264,829,244,091,715,490,
047,393,020,625,048,571,047,545,475,308,392,744,710,553,888,237,714,599,879,
448,130,368,513,421,692,391,079,667,243,276,909,206,470,011,939,633,101,359,
236,125,248,280,473,408,188,626,948,958,261,988,387,118,831,788,415,107,670,
292,861,172,586,960,161,204,972,855,188,423,484,706,068,705,960,781,681,413,
480,704,081,472,941,656,683,646,118,862,505,645,943,983,594,655,429,317,389,
260,788,918,756,603,349,809,599,409,441,211,459,299,101,476,704,938,947,789,
732,809,006,242,729,515,277,205,013,662,461,717,309,396,963,877,744,796,310,
073,285,342,355,468,541,884,577,695,396,141,792,760,401,880,507,076,761,371,
944,018,683,851,953,234,522,637,263,374,511,727,560,837,752,721,423,907,609,
888,322,520,046,069,225,799,172,308,248,149,980,643,576,608,797,077,860,833,
216,999,085,754,541,817,082,841,693,832,804,093,695,125,725,228,173,075,097,
942,699,747,364,610,910,530,703,364,954,381,148,026,239,456,248,131,476,911,
503,048,676,723,715,291,179,596,632,981,335,760,501,455,136,130,034,820,882,
052,895,941,331,126,183,609,037,353,812,474,643,118,453,123,335,936,108,535,
405,705,841,240,605,964,004,357,673,185,439,455,901,806,594,066,668,864,849,
941,902,589,616,947,808,472,283,261,370,838,638,205,036,902,929,518,848,817,
152,729,483,177,766,747,617,625,037,692,874,463,684,431,602,851,826,395,201,
884,388,371,138,794,832,393,852,059,749,522,978,331,753,866,178,569,240,914,
597,207,929,106,173,357,902,307,819,686,122,988,214,704,536,646,714,149,384,
850,923,942,308,955,713,013,362,040,534,120,839,562,940,844,683,059,389,145,
469,747,982,809,792,188,453,613,301,616,266,217,144,855,528,325,993,411,107,
417,328,857,354,676,716,289,598,588,046,098,673,913,973,094,132,277,085,153,
765,507,954,873,701,802,501,545,311,352,233,359,410,108,446,406,048,111,437,
382,792,049,938,751,152,721,702,038,731,753,889,817,960,541,801,452,790,491,
606,768,405,697,204,399,035,446,553,600,390,576,822,498,582,167,961,077,258,
973,228,953,104,848,653,832,053,814,548,644,677,330,765,162,843,709,481,976,
076,091,632,697,066,396,967,687,665,582,448,579,096,344,982,247,741,574,402,
321,972,885,328,796,823,938,076,094,708,490,069,544,408,187,055,289,051,258,
721,859,576,903,671,734,012,224,589,837,643,759,851,703,643,359,544,502,292,
429,929,765,676,859,710,737,458,005,955,367,869,083,568,851,403,517,988,596,
949,339,876,239,490,121,176,833,673,462,833,599,151,134,907,720,975,952,671,
044,634,629,798,891,397,954,567,291,432,818,221,784,542,421,163,784,779,314,
644,389,870,333,977,857,870,544,226,802,076,735,608,469,646,570,408,349,611,
146,772,893,178,010,404,269,234,658,165,905,260,777,798,471,783,610,223,940,
889,512,796,622,708,542,093,246,768,657,513,105,097,240,359,101,768,758,744,
155,211,087,813,220,718,103,542,774,676,658,565,332,517,641,796,981,496,151,
727,810,088,022,335,529,123,985,094,780,646,816,980,485,451,556,247,171,280,
057,625,207,363,004,184,544,073,910,376,320,173,948,629,363,041,617,964,073,
369,737,776,394,498,418,979,625,618,165,516,988,042,076,495,469,413,658,336,
972,157,031,673,489,830,110,958,151,477,754,471,590,929,853,813,711,624,255,
206,093,166,129,695,732,749,671,590,783,959,966,245,622,375,166,896,753,508,
874,837,885,734,802,959,376,506,509,952,443,787,978,522,968,408,501,136,012,
890,507,609,148,654,821,300,397,029,477,024,041,304,131,265,255,111,680,701,
401,767,764,494,962,326,969,200,824,967,242,418,441,881,505,160,507,312,487,
753,129,613,244,967,160,251,620,549,183,135,796,710,062,504,919,215,184,410,
323,753,976,141,087,020,337,761,474,115,952,563,436,577,993,465,730,547,104,
302,192,187,072,328,587,481,765,376,132,641,216,758,320,663,395,436,361,412,
607,722,903,054,475,736,316,060,469,226,278,747,022,494,599,540,183,278,907,
064,953,387,691,614,526,141,257,386,098,339,452,096,309,949,859,041,495,097,
992,255,916,918,740,133,207,692,280,597,799,787,442,901,521,689,734,906,378,
806,307,496,625,966,969,072,550,287,692,667,032,359,718,864,375,495,264,835,
676,181,465,877,751,075,929,903,843,108,179,734,644,758,639,456,284,308,445,
914,630,592,616,361,061,495,196,364,345,649,316,917,287,985,974,538,679,711,
024,590,952,282,931,102,360,819,335,431,115,722,924,730,879,551,903,682,194,
804,463,758,681,508,376,347,589,559,669,164,694,813,909,798,518,140,537,435,
735,558,689,945,642,578,092,976,988,043,848,606,144,459,469,221,571,026,478,
791,738,107,301,383,359,490,252,677,409,551,097,007,076,074,722,975,407,628,
860,737,172,237,030,275,751,378,680,596,245,584,392,204,514,097,041,087,457,
031,366,444,294,099,024,917,327,821,842,566,686,342,595,598,801,082,345,734,
486,900,270,587,186,488,857,938,576,782,117,688,049,938,211,456,539,164,386,
797,887,238,139,720,046,548,404,285,049,491,621,906,877,720,560,839,689,605,
438,157,321,255,806,882,764,750,813,035,768,798,524,255,296,561,316,966,973,
866,472,030,242,046,840,204,645,617,925,559,272,370,333,937,929,874,675,320,
116,964,253,645,350,502,043,542,982,643,319,618,855,561,060,741,861,158,599,
220,374,319,783,005,723,392,825,572,181,270,689,747,525,838,311,133,145,005,
718,929,259,637,405,766,984,613,576,898,140,851,393,833,291,948,009,522,425,
255,518,184,971,790,955,411,249,196,664,112,883,676,900,518,433,932,117,759,
298,488,800,458,628,602,270,403,378,317,415,238,874,716,906,569,517,742,708,
898,136,830,920,378,977,569,510,996,642,650,467,317,604,011,291,792,489,235,
724,880,280,899,903,407,087,370,540,319,219,147,263,987,497,433,073,160,661,
218,792,741,068,966,157,174,925,103,928,370,650,992,780,405,220,476,529,790,
585,307,707,561,996,722,024,599,291,234,077,781,986,723,992,811,719,174,441,
581,933,950,561,513,652,161,741,442,969,668,101,999,856,909,564,303,400,998,
407,413,374,716,122,434,913,758,744,272,154,236,179,614,938,141,988,569,192,
356,625,341,594,144,371,480,814,379,434,932,938,461,119,412,117,183,772,852,
281,347,494,603,415,674,570,853,277,155,613,507,227,080,995,665,879,028,819,
157,050,595,765,748,977,399,683,058,400,570,792,189,314,373,090,482,474,353,
320,786,717,068,512,249,914,542,256,809,555,705,009,210,060,482,182,138,045,
095,686,586,696,374,115,107,849,998,252,747,957,986,019,660,228,434,549,805,
489,840,634,663,374,818,200,903,254,124,092,976,257,973,616,137,392,715,372,
512,654,353,935,825,025,332,160,596,809,436,016,206,737,215,789,602,560,615,
820,174,344,252,233,150,573,969,395,231,269,805,589,355,477,624,978,004,351,
380,173,746,045,535,018,945,393,418,096,747,169,741,173,977,683,383,179,036,
768,927,836,760,889,421,890,512,513,712,968,274,285,791,401,336,477,812,666,
532,299,408,208,898,028,512,866,027,823,603,127,917,760,411,128,610,371,604,
260,011,645,328,159,168,188,972,215,638,388,590,972,688,548,459,626,889,505,
643,825,038,173,152,567,616,822,912,797,543,536,592,111,755,212,261,026,339,
633,213,001,713,462,352,968,204,711,239,985,792,911,641,584,647,482,819,131,
767,243,248,301,389,281,158,349,495,647,615,345,938,892,413,892,860,590,691,
638,375,522,848,703,099,901,782,508,031,010,411,588,445,087,783,471,936,066,
517,380,710,528,238,341,399,375,594,601,367,611,447,259,720,830,684,111,714,
976,137,782,953,415,414,304,951,736,458,762,017,348,145,316,212,474,938,879,
241,575,380,439,734,382,135,506,621,151,296,414,618,240,902,930,881,908,559,
126,203,185,387,461,571,587,031,840,942,502,614,706,376,175,505,539,429,585,
919,876,708,778,370,836,678,314,789,981,250,223,719,980,948,097,536,514,452,
504,360,895,001,425,413,185,169,172,587,730,822,514,381,689,780,746,284,203,
397,458,694,111,697,818,456,553,671,540,618,386,240,651,586,630,544,593,397,
494,454,684,913,306,635,006,065,909,523,279,537,423,670,390,537,022,762,797,
142,389,911,188,031,097,398,100,711,516,444,694,829,873,667,277,627,983,494,
973,759,217,233,685,282,038,777,377,119,907,158,712,012,627,002,318,139,930,
902,989,548,284,819,278,753,131,798,381,621,143,888,077,238,029,277,124,719,
487,847,430,421,984,662,675,872,198,263,627,113,058,176,429,804,100,840,079,
595,829,026,690,668,040,036,045,855,664,920,681,946,764,935,209,212,007,896,
201,265,528,805,793,532,261,488,298,456,958,284,617,956,043,855,028,236,209,
131,104,700,817,174,573,180,451,609,717,066,183,098,714,621,658,759,613,097,
105,540,612,761,762,131,456,613,346,514,889,966,704,190,812,008,441,895,222,
831,813,924,133,666,251,515,728,937,067,388,343,435,810,937,938,783,434,859,
816,393,029,486,881,895,030,519,922,418,221,106,934,625,519,983,383,154,101,
214,104,611,027,718,603,745,779,041,450,100,519,506,674,167,601,567,556,918,
048,727,083,155,484,572,411,531,733,272,326,622,775,190,456,231,658,111,792,
680,675,309,440,558,015,764,978,650,190,293,408,155,820,913,656,466,296,401,
272,950,106,768,202,223,805,828,013,470,992,620,593,953,780,876,253,930,899,
178,278,107,824,513,953,213,849,253,498,762,452,234,629,610,675,430,952,819,
026,499,719,298,139,398,850,127,651,915,292,573,444,921,969,197,552,557,349,
322,398,943,424,179,333,989,608,495,824,104,819,815,539,938,911,127,451,325,
715,650,555,449,817,336,146,000,450,042,794,250,955,014,426,891,316,727,136,
087,273,442,721,914,410,413,865,811,701,143,616,267,641,058,725,357,339,978,
857,695,996,827,687,046,031,285,669,995,773,282,468,548,615,660,903,034,386,
057,431,648,992,783,387,790,644,807,783,408,262,749,189,241,284,948,163,845,
600,186,757,522,514,156,170,476,901,512,174,228,866,905,787,575,643,537,954,
775,387,505,275,494,539,738,893,706,862,892,083,096,769,426,908,422,055,553,
725,968,179,461,437,706,933,246,262,442,522,461,760,628,906,330,823,386,630,
174,828,400,392,462,736,722,069,663,140,192,561,663,434,830,979,172,671,464,
403,184,945,739,664,068,844,819,112,056,779,565,000,041,302,570,471,137,535,
259,621,236,798,902,882,355,126,910,236,817,678,633,855,103,128,999,382,768,
724,985,871,456,767,525,131,504,042,527,763,548,652,940,888,397,455,863,148,
882,294,713,739,035,464,197,073,617,326,546,459,477,661,164,713,538,032,041,
669,207,923,744,496,915,742,871,725,835,457,702,381,360,449,380,618,656,207,
617,951,427,817,806,256,366,743,650,913,307,168,080,658,549,469,227,620,969,
557,581,593,155,868,316,413,742,452,389,472,520,292,490,550,168,034,097,070,
915,616,912,325,413,707,332,815,166,167,150,874,592,521,620,842,471,561,700,
844,141,989,843,630,259,427,969,389,434,964,169,978,103,288,928,445,125,334,
013,574,882,910,741,106,635,424,850,348,603,722,142,092,221,212,802,432,491,
347,776,352,731,536,924,833,583,624,975,115,139,425,199,156,508,836,142,207,
438,644,471,182,502,894,956,379,586,639,794,502,125,295,352,244,639,574,043,
152,507,017,918,545,309,250,233,243,747,023,711,237,304,728,801,899,257,771,
646,849,665,885,983,159,463,607,265,573,797,793,104,591,417,452,895,336,692,
617,123,193,114,369,259,401,618,098,908,494,144,611,553,819,183,384,664,401,
247,030,348,026,560,685,025,584,189,378,750,732,303,166,458,274,129,227,795,
948,302,773,801,128,155,120,063,186,273,825,687,350,352,807,639,159,209,715,
413,827,109,259,582,060,389,950,858,998,539,086,696,271,700,209,870,775,468,
004,439,669,135,958,233,133,428,658,272,458,695,475,932,914,697,141,697,113,
870,917,841,405,166,770,987,376,451,767,885,358,495,285,975,524,761,590,063,
885,837,231,333,599,687,332,432,522,176,569,288,492,165,362,508,911,441,891,
657,159,438,587,882,691,939,141,163,208,291,297,644,639,518,410,515,468,187,
073,240,193,095,762,735,083,448,030,487,489,985,112,495,154,140,925,931,775,
260,514,100,719,846,083,536,344,920,202,818,060,059,515,654,719,857,754,373,
023,019,013,211,705,414,523,136,338,587,201,267,534,748,108,463,952,823,836,
378,547,201,675,151,382,721,964,347,219,844,858,594,367,103,518,197,519,780,
990,465,839,623,301,158,485,036,413,880,469,083,897,465,522,841,796,556,779,
059,280,052,766,164,498,225,168,693,663,221,544,298,860,143,809,761,163,688,
215,136,910,822,013,930,812,363,341,208,695,995,885,577,634,543,256,272,950,
646,682,737,491,742,437,602,994,326,870,891,435,881,520,442,417,327,084,365,
371,198,119,951,450,317,234,039,007,831,340,005,182,726,525,439,196,100,678,
217,893,378,414,958,272,718,922,702,889,075,090,101,038,528,174,579,751,777,
398,770,461,812,937,764,895,065,626,860,096,506,405,429,844,539,952,371,752,
698,609,700,391,600,351,542,236,395,740,732,648,543,368,961,730,448,564,646,
747,925,423,338,401,306,705,764,037,398,795,774,911,269,542,073,010,005,522,
227,300,089,905,489,727,463,704,212,896,103,739,073,600,967,824,781,218,339,
750,958,161,302,288,337,284,243,678,143,418,830,985,650,580,821,560,449,526,
593,757,419,192,187,398,079,938,457,246,245,649,561,619,604,695,924,997,927,
585,143,251,784,613,755,448,019,875,633,950,013,168,268,099,021,413,502,824,
949,015,014,788,337,245,178,654,341,171,064,732,511,889,495,503,501,463,657,
667,179,741,254,986,371,432,836,325,207,673,127,687,142,156,732,835,997,884,
229,908,206,522,941,070,203,023,812,449,830,037,672,362,441,843,623,473,911,
314,764,253,940,460,991,267,641,659,743,109,652,152,833,875,820,448,318,504,
241,732,481,591,611,386,738,504,774,778,866,846,572,680,512,925,088,050,767,
600,123,845,158,433,473,706,292,810,845,904,975,357,544,388,064,872,378,803,
690,082,949,254,130,262,021,057,028,370,578,659,182,003,651,335,763,960,174,
394,759,770,892,029,972,348,935,406,204,928,106,592,210,055,446,143,514,452,
435,507,335,113,322,569,346,268,904,764,037,483,475,192,503,666,784,461,061,
159,077,434,754,334,609,817,806,238,129,627,034,821,967,230,973,012,496,412,
823,505,889,301,500,266,499,288,583,470,157,393,585,206,450,676,213,843,157,
347,586,290,588,053,717,968,769,975,153,654,688,825,414,643,232,106,207,398,
741,969,120,320,616,103,514,686,835,946,895,876,083,338,254,191,556,830,835,
009,844,326,649,115,973,811,585,978,476,778,498,945,738,175,980,667,763,632,
742,383,218,006,805,663,169,981,710,448,372,961,138,283,736,887,775,217,376,
793,813,568,955,856,432,082,976,346,966,543,346,468,927,727,771,138,285,870,
198,218,669,484,501,873,873,306,626,191,829,342,797,714,869,758,108,464,510,
173,850,793,884,259,318,760,088,867,500,503,077,755,499,102,665,555,726,022,
182,060,667,076,277,912,060,649,121,241,747,064,455,473,051,570,724,369,770,
608,845,581,865,119,691,596,539,232,172,138,971,754,359,516,978,047,836,399,
896,901,168,241,282,816,655,440,828,019,033,294,194,333,799,773,753,967,160,
022,370,549,293,923,450,079,904,533,876,354,732,900,805,079,929,517,761,915,
200,041,968,633,415,556,462,058,297,414,372,277,564,800,772,841,032,106,605,
621,399,808,216,554,522,159,531,692,735,495,209,951,007,133,935,465,287,822,
981,499,771,993,726,288,861,615,796,093,961,477,771,152,172,851,198,576,375,
681,239,078,481,534,657,498,448,927,463,974,392,871,946,992,111,670,459,515,
168,445,674,790,241,645,530,792,091,049,529,931,139,898,539,687,995,212,252,
213,720,603,173,178,460,456,519,159,232,516,626,688,771,613,039,863,591,470,
280,838,001,572,623,497,258,411,440,687,848,684,717,981,004,473,424,643,274,
861,638,578,611,043,430,386,294,340,852,519,939,981,231,716,842,841,868,068,
118,665,874,187,927,849,265,527,785,564,054,986,230,654,804,622,558,712,120,
704,193,951,677,436,262,617,704,482,885,688,837,560,579,762,135,385,461,551,
987,252,658,139,501,001,959,666,262,763,173,342,121,174,185,148,115,158,541,
497,672,421,270,262,718,691,806,061,447,711,378,985,207,029,825,500,515,441,
757,106,641,804,962,645,894,231,332,682,371,614,394,760,623,134,925,439,226,
374,036,994,233,837,306,069,701,405,475,035,659,443,639,387,612,903,269,646,
806,690,523,236,317,881,150,271,660,200,006,937,427,039,839,945,872,435,797,
074,104,313,278,434,358,104,213,949,255,960,928,489,354,630,964,887,103,282,
239,609,043,789,019,165,947,999,283,849,970,724,466,411,984,863,289,701,866,
575,591,095,398,910,775,101,890,127,100,567,169,843,818,568,526,816,875,057,
470,860,348,389,859,012,992,696,059,068,957,456,673,340,336,789,074,390,764,
069,837,379,445,886,032,830,909,605,593,008,573,600,037,919,622,917,912,568,
755,449,772,754,767,975,756,550,945,084,044,650,720,360,775,241,758,988,586,
467,170,331,524,339,165,572,480,249,019,910,434,475,097,186,174,027,614,777,
290,060,165,476,282,103,033,804,738,349,692,541,261,799,464,178,333,717,688,
056,868,464,343,522,249,624,858,994,551,902,183,613,511,000,693,372,860,647,
341,472,349,767,034,667,382,303,810,878,126,352,107,357,440,114,255,823,940,
874,991,801,233,006,182,160,187,335,334,578,473,671,482,310,936,347,867,143,
534,110,549,018,041,216,493,650,041,070,077,586,275,613,243,008,428,390,810,
101,583,674,922,862,402,225,092,939,267,159,058,815,224,760,080,752,303,015,
510,971,242,021,588,012,940,241,548,350,184,680,455,872,085,216,144,663,318,
210,254,200,944,933,576,845,744,061,662,732,481,016,273,194,996,717,478,263,
575,591,000,305,674,487,885,110,770,102,023,877,347,899,342,621,362,463,590,
904,491,856,332,655,763,397,038,225,104,429,273,623,617,918,303,011,706,693,
276,963,109,519,245,907,761,750,897,357,654,322,002,271,518,415,279,517,160,
126,011,999,289,458,323,921,432,542,748,567,239,254,480,859,733,873,461,638,
439,164,150,178,992,235,139,027,329,431,944,571,767,153,309,263,085,048,377,
401,521,678,149,187,109,465,447,002,202,764,918,950,191,255,438,131,414,542,
543,845,161,871,185,755,772,280,609,653,454,846,063,195,004,315,413,809,196,
705,857,603,183,952,260,011,726,770,940,816,548,729,559,522,252,767,255,153,
845,697,322,139,002,557,729,166,567,826,117,446,437,560,705,820,298,608,752,
146,968,663,510,627,253,897,674,501,009,227,774,640,738,785,694,452,362,096,
504,646,267,755,051,200,739,504,528,419,806,765,176,920,457,791,872,405,064,
705,208,291,212,899,368,941,718,498,681,968,369,302,749,491,148,566,973,836,
830,489,337,810,833,793,479,843,862,795,388,453,826,222,524,431,682,999,382,
230,725,814,597,469,210,631,563,683,279,075,846,849,698,460,873,767,260,430,
245,383,300,579,896,460,796,781,418,463,162,407,313,089,966,494,810,053,955,
189,309,434,771,192,713,351,375,293,807,774,080,591,487,903,906,743,588,257,
121,981,490,355,721,347,859,138,980,696,874,859,494,697,008,603,934,398,097,
093,742,446,312,058,670,868,546,755,001,514,559,095,203,998,356,702,222,860,
823,911,084,101,098,720,100,256,949,249,349,784,920,767,792,003,787,759,328,
097,171,636,099,253,872,090,095,572,521,542,099,740,129,145,857,018,095,221,
717,113,003,146,682,724,443,303,996,167,733,468,361,555,169,503,165,731,337,
902,507,886,910,568,840,460,661,349,536,961,257,023,854,403,292,015,601,325,
580,955,763,911,272,346,102,693,842,126,862,975,466,023,168,333,755,386,882,
903,229,181,060,148,869,532,064,490,403,100,295,379,575,892,379,166,533,349,
375,245,632,721,158,402,854,018,794,456,569,793,987,009,856,545,015,236,047,
305,477,383,866,773,491,504,269,892,129,324,863,925,571,218,399,678,183,771,
034,510,421,190,385,477,879,493,899,745,619,111,771,108,228,117,913,562,853,
384,512,001,949,506,453,331,521,178,064,980,498,485,450,775,911,516,064,381,
872,679,399,657,461,132,195,825,587,668,067,091,703,732,678,316,290,321,269,
156,696,504,137,171,814,917,696,617,124,579,357,329,099,972,929,699,603,858,
586,678,047,850,499,445,177,803,654,265,067,836,413,083,976,522,626,196,305,
062,718,611,441,988,595,496,924,407,379,470,454,818,562,505,893,391,948,158,
695,357,061,298,882,300,841,014,857,055,220,705,896,333,114,889,298,895,083,
779,340,877,222,117,833,547,818,390,353,869,581,065,020,591,305,610,706,197,
397,290,757,536,296,584,174,366,627,683,008,492,992,230,343,658,959,236,705,
105,495,588,181,725,875,467,792,188,441,387,910,379,416,269,431,927,726,368,
403,577,154,441,095,048,180,394,235,302,610,543,826,417,474,958,934,778,569,
494,173,737,067,136,648,465,191,188,028,303,165,629,252,616,866,368,177,893,
214,498,780,142,140,429,376,177,603,358,696,822,546,295,442,477,271,585,649,
707,398,471,339,000,920,974,978,916,605,749,965,702,543,183,719,267,417,073,
274,888,599,546,259,717,822,444,905,386,991,142,732,578,124,222,500,107,340,
031,934,037,201,366,033,844,044,518,752,430,133,594,996,558,142,072,918,557,
791,927,908,624,294,035,530,369,049,382,933,181,053,047,421,306,762,584,614,
431,617,553,377,925,953,334,762,628,395,252,920,919,718,112,723,487,228,379,
443,707,448,432,256,374,855,469,095,825,321,023,524,282,272,972,095,212,007,
967,254,169,868,497,434,495,812,333,659,385,120,153,934,435,603,983,514,469,
342,039,015,109,941,242,351,336,047,323,424,754,343,519,574,228,668,787,114,
747,687,242,925,811,096,711,605,189,987,889,202,263,048,758,650,258,037,214,
663,573,734,229,806,380,812,702,317,155,487,140,043,718,780,777,490,710,441,
395,869,682,824,678,654,992,170,733,327,532,237,715,022,849,848,051,398,448,
359,372,489,082,497,938,297,510,961,761,882,536,650,271,098,101,484,295,555,
828,316,819,963,638,950,082,085,732,425,986,254,458,358,364,915,525,876,591,
204,269,552,317,971,117,229,978,976,976,075,929,539,399,332,412,107,146,197,
161,826,573,759,321,673,096,369,164,934,108,959,753,864,333,594,235,727,017,
667,558,406,634,251,027,573,765,522,608,357,910,259,157,234,920,994,207,601,
548,819,574,688,865,838,345,289,008,269,476,234,841,830,128,156,701,753,194,
194,551,606,253,151,404,664,893,849,304,685,129,846,659,293,979,939,331,933,
499,838,372,127,686,969,109,418,316,254,719,038,352,978,699,745,205,481,172,
886,718,487,150,613,431,335,069,980,170,849,012,904,066,671,155,949,706,388,
898,299,098,748,577,453,596,636,263,220,653,763,766,100,412,494,930,929,831,
356,626,747,222,942,406,893,492,582,127,407,002,914,558,351,173,502,532,025,
262,076,294,998,061,388,341,079,483,605,673,334,444,646,617,525,866,340,628,
786,819,382,943,299,240,182,399,079,141,809,993,961,484,631,955,648,653,206,
158,825,721,689,730,445,121,045,548,959,510,523,869,804,016,937,605,442,647,
453,815,733,417,744,558,087,756,018,728,743,047,038,463,982,046,463,614,272,
934,856,893,383,261,829,177,530,346,551,570,975,070,587,009,058,775,806,032,
969,538,590,364,141,511,424,829,030,514,640,205,395,627,775,315,385,346,051,
522,038,179,967,347,934,230,986,635,699,239,655,009,162,085,972,586,302,556,
969,855,791,298,517,068,889,903,911,854,410,245,950,548,692,893,329,788,850,
011,468,280,911,805,232,427,614,939,295,332,111,696,732,612,940,448,232,830,
190,688,541,847,050,626,888,519,684,297,342,313,667,310,617,943,907,280,036,
578,486,448,398,950,815,972,915,522,416,915,534,273,363,227,888,959,893,424,
119,456,709,385,033,324,596,564,486,942,081,357,030,422,013,229,323,878,578,
809,731,427,157,756,383,771,654,160,689,057,714,512,594,787,694,965,330,117,
979,605,626,539,933,175,227,230,620,610,081,542,466,763,962,260,551,327,078,
335,825,912,810,633,917,209,307,369,544,137,957,787,899,825,987,668,276,940,
366,018,395,518,785,858,490,880,884,185,966,239,101,541,456,026,995,051,170,
858,588,370,232,607,508,289,114,366,190,757,930,249,642,766,523,650,904,288,
189,432,986,967,399,097,226,797,527,943,757,716,525,919,633,356,544,339,577,
903,526,307,154,041,148,672,323,492,184,920,782,334,655,499,565,186,181,622,
764,047,493,787,018,004,640,020,771,203,914,279,951,329,141,190,909,600,138,
124,691,375,742,534,441,594,658,786,829,766,855,191,249,142,456,722,094,360,
756,406,266,005,677,715,563,275,141,664,922,747,575,609,141,654,788,180,197,
426,226,384,669,760,293,824,099,830,518,095,463,447,514,226,100,338,818,604,
222,109,990,607,123,919,132,039,412,590,341,034,898,176,555,158,041,597,501,
406,000,574,508,843,265,550,450,555,070,136,909,958,144,628,247,306,026,175,
512,643,996,064,220,185,053,620,257,992,825,353,688,785,745,807,054,514,769,
839,172,134,949,893,692,430,860,475,330,772,428,947,066,527,982,093,323,858,
867,640,060,684,478,538,412,815,220,236,745,108,914,678,376,177,031,778,419,
332,577,755,332,268,630,191,298,954,405,146,760,629,085,788,957,489,514,777,
897,916,440,904,686,055,456,649,929,311,882,234,196,477,001,012,987,655,756,
313,841,143,747,456,558,066,161,330,418,221,323,299,304,998,044,067,727,482,
053,918,981,646,852,917,133,845,727,239,700,817,678,797,442,669,710,725,443,
457,207,158,851,631,476,777,476,052,139,291,163,684,873,653,666,508,522,511,
989,856,887,948,269,960,951,511,529,614,116,495,435,464,494,428,812,780,278,
220,935,854,361,692,931,832,131,264,592,982,060,883,874,916,476,514,278,741,
435,633,361,100,378,884,496,133,175,841,268,987,831,670,629,094,726,718,403,
716,971,898,352,545,964,641,010,752,969,371,597,683,473,223,982,125,743,406,
608,727,055,152,893,179,622,828,053,513,100,152,932,673,584,547,129,449,223,
070,679,123,628,238,993,893,132,081,359,115,757,590,676,137,681,040,721,463,
897,274,966,661,769,849,216,491,810,886,889,529,059,569,529,213,884,880,475,
329,889,553,152,045,363,743,194,036,085,673,546,645,843,416,350,813,778,074,
080,366,988,922,658,192,526,214,612,087,989,562,091,796,976,208,721,760,600,
175,690,795,777,619,484,374,953,393,182,142,155,687,489,538,810,223,559,218,
549,245,246,326,328,564,154,268,946,251,620,754,915,210,209,224,292,140,949,
483,398,431,267,039,725,677,667,834,342,550,499,414,130,185,375,199,973,055,
442,377,097,882,883,677,557,627,442,866,264,776,111,227,220,730,798,636,135,
218,025,794,114,039,074,225,230,920,620,182,941,153,467,727,812,670,802,520,
760,634,701,454,467,790,101,943,343,601,274,386,018,405,752,604,838,727,628,
734,605,900,332,387,243,157,979,966,358,980,585,093,745,370,840,169,829,578,
715,316,646,595,264,743,570,012,471,014,235,987,493,204,315,372,976,830,614,
768,008,069,685,880,002,841,723,496,731,117,993,052,059,361,925,194,510,605,
387,761,759,089,680,865,081,069,823,408,949,605,541,572,902,169,933,086,702,
307,654,921,586,960,413,423,153,723,930,488,723,844,949,739,030,580,404,015,
269,375,157,156,194,747,739,479,236,308,779,019,656,374,112,147,335,598,381,
837,068,775,910,668,853,628,576,744,474,335,170,781,248,098,727,372,655,653,
907,650,894,331,912,371,230,452,932,866,362,525,570,752,456,950,873,675,573,
296,411,669,228,396,394,052,397,969,143,212,031,408,584,517,356,191,569,579,
477,045,917,541,430,344,359,021,690,159,462,561,428,200,786,761,936,727,856,
842,975,182,987,487,354,362,116,680,851,915,351,828,517,214,492,477,023,603,
339,957,876,312,945,237,079,568,566,253,207,695,925,496,098,024,284,006,176,
099,002,970,311,711,342,795,340,654,116,983,141,521,815,570,013,577,139,166,
305,009,355,294,095,840,531,374,944,909,077,012,391,055,301,285,306,353,503,
998,913,363,474,996,183,608,192,664,501,568,081,225,630,183,040,729,840,887,
229,497,049,326,675,398,397,018,907,884,435,404,574,025,855,847,425,516,126,
291,348,504,051,952,690,974,028,642,256,898,931,151,415,736,752,012,252,847,
453,556,451,206,368,915,782,582,825,415,801,396,108,558,724,343,844,886,086,
877,007,232,155,834,483,226,263,781,941,615,506,891,092,287,632,085,600,993,
115,858,478,411,548,591,159,151,645,085,809,229,488,157,769,381,637,201,149,
539,391,435,767,670,158,456,981,370,398,163,948,400,001,239,075,224,354,572,
901,849,888,732,311,884,021,652,797,039,003,943,285,434,783,119,694,523,675,
209,481,200,487,771,730,245,622,877,548,525,061,415,047,379,516,442,216,185,
731,414,353,379,715,025,013,651,888,865,474,676,936,321,023,563,995,307,881,
075,691,497,486,551,708,048,361,099,754,726,765,931,991,351,567,865,214,465,
560,532,101,727,059,625,391,266,623,726,129,606,405,017,457,852,774,246,652,
606,728,001,947,312,215,685,892,942,020,803,881,921,590,988,730,683,354,529,
879,360,718,387,281,183,076,321,334,387,129,472,438,458,060,672,541,714,225,
782,998,694,792,598,842,695,980,571,236,793,238,892,132,252,523,064,427,928,
032,369,186,877,409,000,648,874,697,609,818,744,197,374,888,879,418,446,843,
076,978,806,701,964,253,312,816,289,337,765,070,730,996,074,232,612,705,838,
180,470,613,354,142,034,417,009,538,659,914,889,473,804,072,648,311,108,632,
239,626,759,241,141,240,677,020,679,733,821,195,856,347,216,471,921,494,976,
620,147,142,776,845,044,429,437,187,149,742,271,116,566,393,823,454,439,854,
695,103,425,019,358,060,967,593,394,221,805,653,867,400,920,774,743,232,306,
724,793,580,956,127,624,600,884,378,756,382,926,751,567,404,336,811,267,547,
142,219,638,466,703,966,453,546,107,027,734,161,429,665,769,170,486,508,906,
577,505,275,658,720,789,925,659,526,707,526,666,021,364,121,775,425,504,796,
768,289,771,914,169,067,562,394,203,983,876,330,077,054,308,566,960,585,543,
167,514,929,453,910,627,238,315,387,417,829,089,491,673,238,777,236,927,964,
991,593,512,184,390,382,442,603,650,244,757,293,915,778,898,205,407,283,617,
091,089,733,790,372,316,899,842,669,770,140,169,081,410,929,535,948,375,059,
762,597,122,399,628,174,803,639,607,647,666,973,820,835,385,819,796,730,582,
511,397,221,827,119,768,675,369,284,262,813,742,787,919,880,206,701,114,631,
259,563,230,076,513,812,457,381,326,649,251,381,358,983,203,098,980,579,910,
157,223,508,605,365,978,747,223,402,049,469,026,841,757,346,771,845,618,168,
452,110,536,362,933,680,408,237,177,294,351,269,828,123,891,602,477,936,920,
592,146,849,072,047,833,821,089,049,734,753,597,438,096,299,738,395,348,543,
367,701,750,883,167,366,082,761,031,799,914,554,004,591,741,079,875,069,197,
144,241,233,999,036,416,249,771,220,664,376,090,867,949,235,469,564,086,785,
560,600,594,768,364,068,523,351,391,209,754,666,380,124,151,641,075,942,624,
568,995,639,774,209,355,664,350,824,257,739,254,690,940,063,144,703,494,041,
355,876,532,148,548,684,809,896,375,311,715,352,566,167,955,197,156,909,872,
761,296,764,701,390,291,414,077,886,784,037,776,605,148,073,432,506,031,229,
739,113,378,551,777,861,439,582,503,231,960,986,800,343,166,252,321,212,840,
761,846,571,978,835,581,784,477,452,072,111,670,908,353,931,031,180,828,001,
371,841,942,837,276,495,846,901,414,618,773,795,147,165,449,112,440,316,506,
337,687,665,025,982,712,500,238,712,723,699,762,707,518,802,991,892,429,260,
255,753,786,466,346,597,220,129,010,846,951,636,292,842,671,323,547,290,898,
945,742,007,043,282,829,957,892,620,147,258,309,226,282,350,101,224,805,193,
184,966,126,369,614,877,557,127,096,958,584,365,203,143,711,992,580,188,036,
749,400,305,108,616,991,916,588,669,698,626,792,057,982,106,674,191,859,336,
954,161,618,465,186,947,432,777,445,208,439,726,644,941,615,022,875,661,451,
246,749,010,507,649,666,723,020,883,899,143,407,918,251,904,947,555,549,046,
355,927,756,955,901,757,287,392,628,159,137,886,433,393,778,470,812,072,736,
922,323,807,234,007,394,545,039,590,686,244,096,230,194,751,942,377,855,950,
708,390,767,464,548,677,049,504,104,556,109,819,866,956,394,794,131,288,098,
782,373,707,837,883,505,373,967,928,468,804,208,256,442,502,121,649,401,361,
860,446,621,253,926,188,220,613,065,971,790,595,986,462,049,007,919,671,483,
437,786,688,897,915,087,293,320,652,905,683,296,491,907,257,786,839,790,407,
695,400,041,728,177,107,090,348,964,999,269,783,446,533,762,428,585,147,461,
055,624,579,109,377,681,994,905,836,389,536,833,834,461,538,507,152,137,071,
059,058,395,569,652,050,118,500,972,415,039,191,260,067,560,263,459,216,308,
917,038,955,014,500,979,775,920,596,419,687,287,975,947,333,320,176,517,458,
465,948,917,186,882,014,309,612,506,579,008,848,215,221,089,006,976,513,778,
570,702,920,448,046,330,049,555,948,407,101,234,877,235,158,068,540,651,282,
799,247,379,136,684,636,706,913,782,815,505,554,162,484,516,627,442,868,635,
962,334,829,389,516,209,261,529,395,595,364,718,051,970,998,133,266,499,468,
190,011,277,633,971,875,842,217,894,478,494,920,465,145,833,855,935,343,028,
101,890,380,116,531,630,647,754,226,100,576,786,893,697,421,389,270,133,350,
617,976,558,905,319,694,573,511,450,676,371,697,933,610,498,826,033,245,261,
634,496,004,899,953,879,445,352,380,855,435,211,198,992,050,888,526,163,258,
597,681,055,375,748,803,469,030,676,532,820,398,433,076,309,629,154,256,181,
557,039,555,473,149,720,191,094,715,662,325,127,646,461,705,602,846,257,103,
259,538,746,985,403,294,239,837,455,867,880,870,562,933,161,554,415,252,590,
922,314,830,338,078,345,673,348,634,673,369,148,624,366,409,768,725,007,981,
676,086,593,395,414,260,610,550,706,770,057,403,397,913,652,152,147,388,788,
137,574,722,911,846,180,944,598,432,842,865,212,753,955,030,125,972,879,066,
917,179,779,873,733,031,443,106,079,468,648,071,937,631,049,292,720,003,234,
545,474,608,921,366,099,002,185,527,988,653,277,771,281,640,090,804,177,406,
752,754,365,511,079,151,015,399,952,468,796,340,613,577,226,963,645,492,065,
499,835,470,900,591,016,492,041,624,327,455,727,941,368,901,979,674,788,280,
905,268,088,026,804,426,185,023,331,889,075,123,111,526,968,241,155,351,593,
504,473,021,680,920,112,431,124,040,973,935,283,027,247,077,345,330,090,740,
376,034,309,173,977,935,451,752,301,867,100,619,796,292,689,154,506,797,833,
066,424,204,543,290,740,918,160,263,638,595,519,680,514,229,158,627,975,053,
708,172,708,698,740,153,362,189,075,284,064,467,082,300,709,607,649,547,258,
927,431,101,556,834,864,551,768,095,225,147,289,338,244,594,756,966,011,973,
240,852,085,711,117,378,787,751,447,704,408,911,324,683,648,966,900,297,169,
011,518,451,413,912,001,786,207,667,554,434,849,702,248,649,979,518,211,365,
606,462,178,687,368,265,741,192,834,580,465,477,597,572,597,185,164,882,153,
878,731,801,938,984,149,094,204,358,831,098,488,604,429,666,092,954,283,636,
542,756,436,412,721,110,016,296,967,342,926,036,625,196,623,449,068,136,050,
770,161,363,886,081,583,193,628,620,769,754,134,461,125,794,121,752,822,988,
669,420,395,986,882,909,179,574,072,096,932,418,009,708,361,903,716,290,933,
403,211,573,069,188,901,165,690,977,930,643,966,050,759,151,191,543,264,445,
921,018,680,261,135,066,337,522,400,784,617,633,257,588,404,087,995,518,523,
680,452,275,852,877,517,835,032,344,279,951,977,720,382,330,099,214,712,264,
027,541,628,306,727,959,870,056,946,341,276,221,590,731,929,814,607,208,599,
495,353,035,552,869,761,409,483,830,489,068,063,101,879,408,371,571,228,367,
613,843,692,794,239,755,756,074,113,803,102,839,207,809,159,289,859,381,191,
153,860,727,979,444,737,885,775,418,230,484,218,896,986,373,390,279,567,241,
675,011,714,436,091,540,794,505,183,661,564,556,948,951,284,837,201,043,541,
035,019,727,234,500,027,585,771,821,111,058,352,466,935,580,278,736,217,607,
391,074,056,012,839,913,425,604,448,221,666,682,686,603,270,559,954,335,894,
965,484,675,809,083,157,320,013,825,966,050,833,123,258,083,765,734,410,118,
854,621,544,862,907,670,186,501,937,878,023,661,098,088,089,996,692,869,549,
979,490,867,095,033,123,196,544,970,498,707,336,371,345,437,930,751,960,288,
555,057,581,993,249,455,990,202,317,090,332,827,981,463,513,513,550,394,375,
143,306,586,637,414,877,421,207,810,405,282,903,573,193,233,128,076,601,466,
653,579,368,174,141,349,504,153,628,914,908,033,256,620,191,844,545,226,787,
963,658,620,110,151,938,166,612,181,696,233,757,047,312,285,683,631,018,314,
965,638,056,281,628,103,566,499,476,843,873,530,383,738,090,397,338,141,777,
411,511,017,390,746,300,887,822,691,094,242,102,615,354,052,501,083,962,422,
004,478,960,213,872,732,211,447,943,756,304,660,770,543,909,344,612,233,798,
361,860,609,130,958,078,176,854,106,157,659,536,308,331,939,294,808,413,525,
037,984,146,516,259,774,651,796,098,663,610,848,128,088,919,782,320,966,972,
748,886,402,107,001,938,191,749,268,240,777,435,294,728,715,520,685,739,421,
513,520,849,735,582,093,305,650,367,531,978,896,498,593,392,698,285,045,193,
818,964,706,261,967,076,366,844,032,459,411,759,628,835,012,296,779,340,108,
871,776,467,187,417,720,304,333,698,112,229,272,926,363,298,983,415,785,830,
726,663,668,182,267,585,941,715,269,461,859,053,103,019,628,528,397,380,888,
306,983,966,277,665,439,252,103,656,972,575,983,292,509,679,606,020,278,192,
189,440,390,877,436,434,966,808,844,095,939,264,444,908,815,554,676,200,953,
222,754,221,018,027,414,965,765,062,817,851,764,925,036,813,199,807,993,069,
395,510,465,334,064,272,965,400,872,315,143,632,357,474,919,750,311,209,671,
199,845,987,527,568,152,311,154,359,627,788,654,585,663,110,773,768,734,977,
925,762,000,937,475,297,329,168,417,562,926,624,593,016,304,449,668,960,087,
857,294,630,071,607,918,542,406,416,930,095,368,864,518,017,514,998,527,272,
622,831,055,187,082,030,291,778,625,075,234,247,262,012,958,390,587,026,690,
036,438,605,947,897,813,900,493,922,061,732,788,724,903,175,007,288,660,186,
144,208,816,807,678,208,361,384,706,708,755,085,639,897,422,034,656,092,737,
830,487,546,102,084,288,058,684,879,354,606,691,932,396,899,717,827,129,719,
009,875,608,387,411,741,385,401,837,225,912,381,598,142,985,838,207,902,273,
899,058,769,489,106,249,818,749,093,263,283,836,946,780,346,164,839,611,702,
212,324,037,411,868,439,458,110,090,775,889,109,685,033,592,052,045,588,955,
433,609,359,056,443,887,908,016,272,356,891,856,527,297,150,674,422,194,671,
578,176,937,257,941,767,391,054,793,660,478,356,737,255,072,108,653,200,652,
455,654,177,683,296,006,057,202,803,427,536,130,968,678,275,040,086,207,465,
980,813,749,065,173,662,144,655,817,340,981,470,127,843,101,933,281,575,738,
123,457,873,619,515,521,644,580,774,922,765,752,805,628,341,671,404,582,264,
554,242,850,258,907,267,425,326,819,869,455,251,479,909,892,794,482,762,603,
383,992,573,732,859,801,966,136,959,797,241,459,934,162,454,261,589,785,880,
268,409,675,494,542,415,629,882,531,260,664,696,163,912,520,920,944,492,885,
047,188,871,532,371,596,455,173,947,515,903,655,600,439,535,154,356,035,212,
395,480,179,780,775,895,730,422,839,701,905,246,976,604,750,119,865,256,240,
719,392,711,686,787,697,890,819,285,644,080,532,426,459,507,706,311,096,138,
737,981,761,367,657,583,362,593,931,774,427,281,769,081,902,761,793,698,634,
631,948,189,038,661,440,022,808,504,911,838,444,423,705,610,304,081,079,153,
738,534,593,778,548,529,423,006,985,621,070,879,299,884,094,362,696,511,712,
819,046,750,768,480,909,997,700,614,033,698,033,097,664,038,576,812,209,364,
385,473,201,101,687,610,838,549,224,717,606,977,422,777,910,542,531,639,125,
589,579,782,799,944,555,811,825,768,798,473,546,883,364,748,205,722,820,664,
169,185,205,701,873,828,630,874,659,010,600,757,598,355,140,562,056,658,439,
262,545,420,216,824,109,690,475,208,554,458,134,405,367,609,596,948,129,976,
913,187,320,750,298,688,091,276,679,826,571,693,750,248,301,327,747,206,792,
467,087,907,472,593,741,134,278,889,925,460,013,148,011,585,198,859,384,140,
819,545,724,744,510,888,131,912,056,391,543,815,936,914,061,478,033,867,908,
012,011,946,814,507,130,166,751,372,697,818,555,314,110,240,030,778,542,664,
796,720,516,444,852,454,243,995,449,840,656,003,442,601,834,293,068,516,842,
990,218,010,728,434,932,018,491,908,645,940,192,293,360,093,620,630,334,053,
285,295,248,129,105,995,758,837,053,602,437,317,460,012,197,290,381,434,036,
645,021,556,781,944,853,897,809,559,719,713,688,609,255,670,657,005,273,774,
807,314,750,493,206,009,975,879,163,407,119,182,068,037,607,649,125,239,315,
539,989,162,532,515,745,541,157,934,167,073,954,731,935,480,393,046,250,201,
009,776,889,199,557,434,463,895,694,856,602,357,835,768,640,183,832,913,154,
482,197,773,940,548,067,123,839,571,599,278,656,164,452,505,137,297,525,937,
694,759,746,229,681,605,936,388,660,625,050,882,016,824,074,679,867,175,410,
533,377,299,171,928,039,704,313,903,519,529,454,629,088,699,568,279,040,082,
166,395,463,581,699,811,852,883,711,861,607,239,568,977,420,190,749,620,813,
600,367,411,268,530,002,331,238,204,969,256,423,093,575,201,537,765,726,031,
466,105,775,343,682,830,773,516,061,062,622,785,530,001,454,966,788,131,772,
612,596,453,713,979,654,417,828,366,360,577,260,637,039,742,463,829,621,217,
737,114,312,945,843,085,561,341,921,455,007,614,232,606,708,955,036,105,973,
507,309,407,777,191,619,510,629,109,307,587,775,486,778,279,054,221,070,826,
905,527,318,588,124,102,887,228,316,775,340,698,146,193,701,989,093,994,304,
748,620,569,607,568,406,249,606,035,896,431,170,080,629,472,186,266,009,789,
480,762,707,740,255,170,653,112,441,708,780,935,444,080,426,985,096,198,054,
255,384,945,984,246,895,588,183,614,656,357,594,475,761,803,447,979,737,661,
773,108,237,505,656,325,191,633,412,068,995,877,651,747,791,301,603,589,204,
375,177,531,269,120,743,541,465,473,507,140,355,783,207,775,003,053,515,334,
723,542,689,134,587,040,453,529,898,881,858,253,508,752,037,571,399,377,551,
046,835,219,664,893,321,807,088,490,827,208,875,878,594,194,432,851,977,177,
617,124,184,019,155,904,632,757,468,831,989,791,408,946,583,169,711,096,898,
937,400,081,583,142,189,318,732,278,719,247,700,672,184,830,292,232,133,424,
810,696,497,690,088,831,414,967,061,876,481,585,355,056,544,443,889,358,250,
762,484,670,933,032,473,064,425,872,771,302,201,972,240,914,109,701,902,181,
358,972,178,784,329,964,178,611,837,335,005,776,072,492,819,362,168,169,452,
405,701,049,857,756,694,835,759,518,551,679,188,210,270,440,137,469,007,071,
102,601,651,945,727,772,567,592,512,327,483,239,706,941,496,580,099,496,684,
126,385,318,564,114,857,704,872,618,718,697,185,240,558,501,118,032,250,606,
104,454,699,122,051,133,269,498,959,328,297,693,335,315,741,017,566,833,767,
906,529,928,737,747,261,674,863,052,341,036,064,806,671,582,038,520,176,588,
065,276,990,365,418,372,734,110,617,394,420,021,410,159,635,879,516,975,020,
585,119,257,852,493,060,252,050,582,994,928,065,508,539,292,927,398,092,072,
275,910,421,146,483,141,305,171,006,524,146,234,251,050,180,385,519,188,621,
632,147,512,491,676,892,661,939,390,765,807,018,897,351,781,872,192,826,012,
901,945,233,914,865,239,240,758,574,430,052,497,741,567,120,374,788,411,940,
287,707,292,743,936,100,017,140,598,012,930,371,200,616,856,546,242,792,349,
396,856,019,443,232,465,008,356,202,225,121,128,514,356,892,409,545,130,447,
253,369,066,180,034,413,820,039,859,412,003,101,794,942,767,840,317,634,871,
413,625,023,929,461,858,814,172,431,696,492,472,107,870,184,582,864,737,261,
757,520,523,909,909,306,120,642,989,802,679,864,147,774,874,403,627,775,609,
538,976,474,884,648,703,519,184,931,695,825,613,092,850,448,156,702,255,318,
116,102,545,339,542,378,213,492,310,267,836,658,618,710,117,372,504,017,797,
676,628,670,124,972,511,780,160,802,657,106,013,470,841,508,482,269,759,469,
489,738,223,981,737,804,997,192,241,382,104,290,116,596,537,826,803,631,233,
858,747,648,217,276,902,075,516,943,842,489,268,502,170,140,632,063,463,936,
061,927,584,978,598,451,677,198,310,997,473,483,632,616,732,277,513,455,410,
858,322,453,711,016,589,100,197,460,900,993,898,317,791,450,845,988,561,337,
073,005,060,842,534,064,114,644,536,426,487,662,344,478,992,746,999,730,331,
591,043,006,832,081,941,238,780,316,575,754,118,206,506,816,413,007,363,769,
994,996,049,690,168,858,194,180,829,050,146,122,773,486,585,644,525,498,134,
352,727,109,845,642,380,737,154,056,037,640,165,841,144,627,516,577,769,424,
600,932,792,832,597,167,191,270,782,959,750,915,015,820,622,182,972,831,876,
014,304,705,871,758,177,130,352,744,749,410,363,837,227,723,690,702,717,182,
953,280,728,703,147,767,958,700,738,007,125,053,247,803,864,285,415,088,324,
199,710,923,968,705,080,738,027,054,152,266,854,053,973,947,493,239,540,110,
074,798,088,761,078,335,810,737,091,365,718,919,513,866,485,358,018,278,593,
196,507,146,864,008,182,824,977,397,405,367,664,018,160,481,699,837,391,028,
451,290,487,459,574,509,282,932,219,823,092,449,590,619,643,878,132,422,884,
374,243,682,610,452,990,605,774,225,862,179,907,733,984,591,178,223,731,414,
300,332,909,082,688,065,921,540,710,023,315,776,875,771,908,275,155,533,824,
158,214,053,251,047,875,862,972,942,494,926,784,393,093,709,587,883,479,839,
118,972,960,349,658,460,207,093,897,327,797,315,615,106,886,922,248,026,981,
773,489,572,931,993,427,751,468,973,972,663,662,100,108,268,106,415,980,450,
104,008,534,321,299,024,355,773,898,428,273,599,473,691,529,467,769,550,693,
861,424,197,004,663,483,968,878,684,279,316,810,229,220,986,605,113,167,587,
872,090,522,401,879,380,823,487,547,948,494,385,954,447,561,000,753,470,214,
135,292,778,863,685,997,253,093,406,756,400,642,680,327,782,725,948,501,088,
692,684,007,193,534,219,247,835,531,877,342,737,184,718,112,770,402,229,230,
118,485,621,903,736,837,929,366,154,872,017,681,091,670,889,412,595,502,830,
311,964,451,394,886,733,187,583,686,182,112,428,092,368,477,650,799,366,756,
071,149,761,561,897,374,695,916,492,021,398,108,062,871,804,750,746,199,531,
078,491,430,828,465,520,977,410,476,215,144,500,631,866,062,355,136,810,431,
893,878,672,690,265,472,468,545,388,594,802,946,284,103,475,407,180,293,328,
769,812,891,960,761,804,854,093,473,523,125,159,256,784,873,820,182,582,119,
501,078,211,634,334,884,795,097,537,989,781,872,152,341,793,602,423,796,916,
974,803,897,431,663,036,273,652,036,024,777,246,835,469,388,540,273,691,616,
983,200,026,963,869,640,447,526,123,359,477,843,244,860,915,567,940,234,351,
838,805,739,554,058,914,453,060,151,337,903,691,520,344,996,751,578,318,602,
783,007,668,806,172,490,894,733,493,266,447,174,543,465,096,803,432,185,819,
736,089,587,101,815,616,314,196,015,806,002,311,393,508,352,572,990,330,378,
823,184,908,506,334,410,952,042,611,786,241,363,949,818,795,936,324,820,208,
180,293,456,625,388,409,293,371,130,712,784,119,505,413,780,406,760,014,252,
370,595,525,696,684,597,961,478,336,861,102,817,315,658,310,539,337,282,306,
087,855,678,702,362,287,913,993,989,698,425,280,485,910,093,639,537,311,108,
810,778,253,575,426,335,424,591,461,281,956,953,598,212,741,881,288,114,411,
891,418,214,903,086,635,307,325,048,862,332,673,921,112,477,010,355,541,465,
738,143,603,171,117,136,166,256,926,295,752,498,676,417,369,032,915,608,973,
504,778,767,745,230,528,167,434,583,941,984,682,131,296,772,889,125,987,756,
501,693,536,024,091,718,250,686,938,373,588,876,313,518,345,063,666,886,016,
493,863,205,582,154,204,285,032,433,764,890,932,002,857,069,896,326,289,180,
887,722,518,651,221,875,420,962,407,919,803,586,060,551,631,552,285,274,945,
573,917,614,851,732,362,101,254,093,391,141,787,583,929,026,898,801,281,881,
814,174,157,008,266,728,890,359,849,225,219,361,413,921,064,316,534,976,724,
559,924,517,031,956,434,105,208,542,294,472,958,961,234,985,273,902,421,021,
265,876,019,348,107,982,229,570,626,507,152,192,000,878,758,450,799,640,505,
260,704,326,564,029,453,664,637,485,177,597,428,937,841,557,587,174,104,262,
869,886,153,426,108,980,462,802,147,392,212,403,166,793,920,712,482,260,773,
120,068,925,310,129,390,251,356,022,638,364,567,993,164,815,743,797,150,823,
451,679,995,790,509,756,717,840,527,092,041,485,055,251,653,576,497,168,512,
560,010,660,410,573,875,879,285,978,062,078,788,153,852,129,348,698,703,840,
921,079,134,352,357,685,621,994,323,808,986,059,778,940,087,072,425,053,263,
304,942,415,408,010,512,920,861,522,434,887,941,096,220,829,284,526,290,953,
316,186,100,218,504,591,119,512,645,136,887,873,221,865,602,646,083,554,374,
960,112,286,056,081,361,931,092,281,333,894,776,902,618,643,929,594,486,889,
323,187,655,278,938,555,481,499,114,265,067,182,547,459,326,383,272,013,420,
347,193,801,923,111,430,497,122,135,146,970,679,328,149,592,762,710,880,741,
747,054,352,328,538,252,575,175,364,248,302,936,677,273,567,986,230,120,316,
226,097,997,436,647,690,522,731,866,787,524,561,424,260,701,825,617,011,516,
486,891,612,729,487,014,621,840,889,131,705,673,389,455,945,122,987,042,757,
126,283,678,552,478,347,997,964,763,815,038,773,656,462,282,869,686,876,444,
782,760,512,287,610,662,661,154,785,287,521,635,972,954,075,086,750,413,786,
233,158,402,437,195,424,858,728,081,158,582,655,012,134,732,743,741,601,796,
956,105,521,374,767,410,980,129,879,532,950,134,965,926,192,289,642,588,898,
865,028,083,816,322,089,471,015,880,866,200,397,531,242,252,004,119,615,952,
340,252,294,396,949,606,215,886,786,770,095,166,389,317,508,744,913,194,814,
203,857,144,909,108,490,764,580,298,469,047,874,680,719,763,296,869,070,595,
103,218,866,215,018,944,721,401,856,965,227,559,764,813,870,082,408,319,383,
952,613,795,515,368,244,409,157,229,699,475,335,498,477,529,122,788,048,905,
222,358,753,902,519,677,497,435,564,267,337,137,813,406,434,798,465,931,505,
366,750,360,310,660,572,366,083,827,759,727,234,537,857,639,277,188,078,668,
171,927,760,750,879,600,303,615,120,884,885,983,318,569,114,718,796,867,297,
039,530,310,278,638,622,955,783,164,675,127,739,453,396,186,574,251,251,282,
343,349,211,066,430,066,942,771,061,166,402,660,479,554,351,699,522,996,678,
355,914,661,954,967,982,020,432,137,336,590,791,562,087,819,104,775,001,934,
698,781,413,077,794,556,071,927,544,835,195,704,537,941,737,724,682,379,009,
156,924,512,184,507,644,039,025,736,757,776,716,126,003,454,373,437,932,034,
629,945,036,971,965,904,622,412,863,115,565,388,602,766,789,218,654,852,542,
400,126,934,116,243,353,371,839,912,004,961,397,966,509,807,400,336,099,309,
376,131,694,147,609,254,431,339,118,905,669,536,896,461,267,964,227,425,341,
002,470,798,856,474,031,775,606,486,407,198,684,522,387,255,301,423,798,001,
350,549,723,718,948,842,523,321,773,620,150,572,977,956,968,865,175,877,111,
100,952,183,378,367,304,593,762,099,376,678,101,649,646,768,413,206,646,991,
227,910,841,266,900,936,942,587,692,516,809,104,826,202,433,606,649,792,553,
524,033,607,584,582,232,465,165,411,712,059,829,352,599,181,244,611,818,630,
347,693,268,433,521,038,506,145,539,712,257,836,464,747,479,512,979,559,156,
612,145,566,231,431,749,139,160,316,241,627,702,224,425,822,544,493,711,566,
325,433,368,199,744,749,508,449,919,942,976,260,510,839,700,368,562,654,716,
981,054,653,303,196,931,880,491,607,128,789,193,486,017,221,298,064,663,722,
722,084,498,029,559,245,572,706,407,183,592,990,009,999,280,164,666,962,105,
297,460,007,878,924,907,848,106,124,099,222,717,585,015,667,030,989,978,784,
811,252,431,988,658,848,768,465,207,271,730,631,877,139,001,576,963,825,534,
841,907,933,450,944,987,517,820,877,521,761,285,287,691,465,267,157,031,373,
024,800,875,849,043,313,161,626,238,466,789,800,808,649,418,331,748,630,494,
339,840,569,431,460,582,150,132,803,625,404,131,223,149,510,858,338,030,375,
727,607,949,482,758,012,838,577,955,148,173,173,168,835,251,376,128,973,369,
745,572,222,417,556,690,238,613,369,643,996,204,025,079,500,544,757,112,648,
688,071,114,890,040,769,736,889,422,016,357,094,464,959,680,600,148,505,530,
969,820,589,134,295,669,291,758,866,061,525,205,900,026,689,083,494,518,422,
804,189,790,958,177,162,538,131,599,940,547,742,667,394,593,098,801,574,293,
570,920,976,387,060,011,632,005,518,773,917,639,426,869,629,057,955,525,959,
775,778,208,963,671,722,515,532,543,173,666,188,914,456,992,279,446,051,922,
176,783,854,220,144,355,827,631,895,501,687,759,023,150,258,976,711,632,857,
490,217,774,692,213,300,692,588,505,930,619,138,388,603,171,777,482,926,087,
992,891,984,392,173,697,256,613,381,070,721,040,122,342,868,392,277,858,990,
048,618,666,691,376,966,108,161,101,473,358,224,799,245,188,782,175,223,486,
620,260,070,547,277,906,707,925,337,950,126,697,245,179,140,641,384,910,566,
391,508,698,961,102,340,291,134,127,494,033,420,594,055,992,958,901,276,703,
715,224,339,727,359,756,352,506,859,433,776,865,543,868,762,852,268,292,366,
920,326,286,988,162,292,245,814,244,770,790,451,350,087,852,463,799,677,368,
830,408,370,448,269,737,547,223,542,187,491,239,257,201,690,989,322,056,011,
220,937,163,914,498,060,599,388,248,882,216,229,590,135,083,380,984,601,036,
920,437,152,735,947,188,189,318,804,732,092,922,291,487,438,264,969,830,804,
842,272,171,575,326,995,005,653,805,732,261,932,516,473,653,572,493,701,060,
028,064,693,160,183,193,670,143,325,926,645,739,558,606,110,221,317,086,356,
202,828,247,421,143,167,689,472,441,923,619,532,253,760,802,631,385,155,295,
755,928,472,243,375,202,586,961,139,108,501,211,381,527,516,923,001,124,400,
094,176,562,735,611,442,448,219,729,680,030,789,050,703,118,421,991,730,334,
739,969,217,212,659,993,627,862,480,800,249,038,743,841,397,700,121,327,836,
157,861,500,875,292,039,100,737,229,802,877,448,299,180,036,575,192,234,420,
003,834,372,293,095,438,766,303,553,729,788,497,246,772,001,180,052,201,325,
219,473,080,747,628,811,650,950,845,606,757,735,092,302,998,601,463,012,359,
953,487,267,988,644,944,730,471,810,021,812,232,643,918,880,189,911,329,692,
865,982,503,248,093,285,443,915,844,832,365,140,506,273,832,478,228,250,484,
256,718,094,240,811,700,381,268,450,625,931,849,483,691,525,990,200,998,310,
765,113,310,763,301,229,072,759,272,698,762,122,085,964,700,528,467,290,485,
757,643,569,176,886,072,584,915,559,857,197,782,368,711,108,806,704,092,526,
016,786,167,708,525,075,139,008,732,110,333,140,793,508,715,668,053,984,280,
689,570,555,263,010,351,080,295,719,102,998,146,874,846,592,179,442,827,034,
466,555,712,689,091,804,571,203,423,842,144,039,780,677,902,167,836,610,321,
750,542,636,771,772,860,313,074,818,478,212,125,892,833,977,881,176,919,583,
178,449,582,923,672,891,915,269,354,276,431,215,968,429,142,294,033,141,212,
998,260,400,713,744,507,155,964,285,602,894,368,919,629,789,767,942,360,034,
673,616,809,040,508,830,456,089,390,429,765,608,565,206,887,591,343,353,174,
603,781,731,535,772,735,025,966,103,692,157,705,413,633,330,702,747,580,684,
004,813,910,118,371,001,451,774,590,202,375,661,725,244,539,110,772,140,806,
263,652,816,957,109,037,056,700,444,291,648,690,018,504,518,607,457,434,725,
496,389,731,477,904,089,417,891,766,426,255,207,367,595,639,447,322,311,831,
646,006,478,585,359,803,203,426,970,542,116,890,239,194,172,251,364,270,804,
194,856,559,783,500,196,630,538,514,710,591,178,947,876,068,252,539,051,184,
023,203,945,639,439,400,436,516,508,290,889,297,530,510,731,530,523,276,963,
146,778,796,337,984,321,352,555,319,068,931,612,203,810,367,038,760,633,333,
061,479,922,404,521,878,101,255,938,900,862,492,358,283,563,739,633,815,628,
238,689,763,775,397,936,655,335,974,391,049,781,218,972,672,552,775,350,079,
397,771,873,463,573,045,194,609,582,660,295,346,155,283,908,077,940,061,759,
718,359,040,511,217,929,060,191,230,922,707,779,096,038,182,301,559,172,761,
679,583,492,269,312,758,866,772,601,476,849,659,760,114,673,378,049,736,358,
253,548,953,264,648,985,831,203,808,710,758,884,744,413,098,099,527,964,565,
769,718,677,182,444,416,582,478,060,395,053,200,286,917,326,773,392,529,966,
100,146,312,924,037,804,646,098,886,437,520,331,585,122,320,788,844,303,796,
404,864,972,102,241,239,862,918,182,737,399,695,218,223,819,400,000,266,070,
498,342,142,163,533,578,326,817,099,001,216,406,670,073,091,900,537,419,807,
536,391,215,680,890,278,239,504,424,994,887,279,336,272,270,850,770,869,203,
090,406,128,088,783,118,049,101,382,713,712,140,987,698,816,193,526,736,386,
305,028,130,441,097,052,363,863,037,502,474,753,484,696,226,742,946,498,745,
037,829,508,983,689,926,551,139,952,391,386,192,335,131,367,399,066,013,393,
808,210,120,341,385,330,066,539,151,033,815,426,985,738,196,980,269,579,924,
207,657,810,687,677,233,601,990,752,799,679,393,916,575,602,537,377,976,920,
676,485,675,647,374,973,413,175,758,552,693,008,482,789,689,985,029,283,393,
015,971,111,082,134,578,564,086,004,037,613,539,957,776,875,240,413,135,845,
148,544,475,567,273,485,183,802,885,340,598,672,414,143,681,564,359,849,502,
560,706,657,613,506,249,737,790,025,978,870,762,640,088,425,269,300,222,667,
116,994,163,239,422,172,313,322,288,313,014,445,575,803,873,264,162,323,273,
041,920,426,357,627,465,718,500,874,114,883,909,881,261,383,775,420,681,954,
665,346,907,492,523,330,586,028,552,980,717,222,221,397,728,666,487,694,278,
717,862,898,322,340,141,378,448,062,656,820,282,051,012,121,877,122,343,054,
849,987,141,074,501,358,772,668,789,217,700,113,537,550,694,880,475,563,320,
272,143,903,898,254,045,064,427,350,646,958,078,368,757,596,164,947,849,074,
649,729,839,124,139,407,343,157,244,611,318,351,847,599,937,323,825,070,577,
519,724,477,636,196,567,822,275,673,996,903,495,934,961,611,775,477,304,691,
109,123,789,614,140,294,282,718,931,166,009,190,941,718,927,528,709,033,657,
885,819,857,101,418,615,528,947,879,133,854,356,196,239,969,504,107,188,703,
984,256,195,383,102,751,367,985,513,134,528,478,238,160,385,918,000,282,861,
965,043,044,951,403,741,440,173,816,912,413,852,103,920,965,462,408,608,330,
760,682,965,944,523,893,489,312,012,100,247,228,711,375,824,371,789,069,045,
032,874,044,795,909,066,857,084,678,878,325,249,311,347,373,511,501,344,552,
412,722,979,060,951,420,035,240,417,738,880,129,709,594,554,056,504,180,812,
535,875,976,543,505,650,077,277,219,991,376,030,896,340,631,168,257,850,083,
281,609,421,075,006,653,250,888,307,008,687,954,632,008,234,064,235,293,727,
451,492,087,788,124,161,581,283,653,494,234,242,850,779,232,491,596,495,747,
508,719,573,481,088,052,265,812,735,833,333,212,692,990,800,004,717,556,115,
451,847,970,372,648,639,148,608,223,334,008,206,279,960,642,216,192,814,459,
574,455,410,526,984,099,557,464,891,779,836,120,570,558,527,439,678,430,055,
514,261,851,607,639,032,847,018,333,769,538,678,274,097,749,328,426,854,708,
145,456,923,331,032,453,450,650,399,811,724,648,122,626,881,242,787,178,671,
138,242,263,365,395,402,265,109,765,451,584,259,451,051,889,461,948,441,823,
236,893,809,237,465,440,293,378,397,807,537,424,154,694,110,058,661,829,427,
155,376,708,273,866,280,142,556,071,179,379,613,348,911,150,412,879,307,956,
132,772,216,496,662,937,861,506,073,249,700,940,662,553,675,214,502,743,859,
978,406,506,065,462,923,211,249,156,997,658,183,821,741,778,635,231,959,112,
923,644,599,071,171,806,436,459,886,533,295,416,798,730,207,417,574,606,550,
970,594,715,594,299,865,419,601,104,289,163,052,100,170,013,807,271,844,919,
659,521,803,008,924,960,513,296,192,526,155,568,856,428,322,118,277,688,840,
718,139,424,642,884,106,515,790,251,743,401,547,360,364,121,138,442,821,209,
612,662,919,097,419,530,662,655,153,910,124,405,840,642,178,593,664,930,929,
973,305,324,134,448,052,178,635,839,976,375,120,026,142,892,567,673,203,218,
432,124,250,321,261,872,145,523,568,380,971,727,310,088,130,424,422,798,841,
344,792,222,752,910,840,728,465,548,895,832,242,706,225,460,054,945,923,741,
918,048,272,421,691,372,323,366,165,397,380,119,031,699,092,690,524,110,933,
922,967,221,858,652,020,074,554,637,417,886,817,689,446,060,147,817,284,199,
846,978,851,761,973,039,874,596,175,972,568,913,129,639,510,773,203,109,573,
710,057,080,132,748,339,860,732,252,381,685,076,281,370,553,627,481,796,847,
667,575,892,104,772,008,723,365,595,978,974,861,200,555,094,767,205,371,803,
726,958,017,663,219,668,226,939,463,621,949,762,240,431,013,006,338,435,063,
233,215,084,688,090,357,745,869,888,892,834,981,209,854,169,957,741,508,003,
333,156,615,624,377,149,655,266,431,516,885,123,781,439,388,679,429,253,074,
297,407,920,233,179,553,921,185,111,299,106,751,959,482,038,293,673,500,189,
178,219,950,144,148,051,455,282,035,083,420,907,187,622,518,429,911,474,056,
015,133,246,576,499,565,618,724,519,126,014,813,923,943,542,811,059,192,253,
455,072,346,340,914,149,880,441,922,389,187,370,690,458,370,487,071,724,961,
664,550,444,822,965,240,648,603,045,888,832,048,016,327,571,855,301,885,114,
444,575,492,468,213,200,289,700,110,438,048,884,286,011,711,579,417,328,124,
732,578,377,277,072,633,099,248,636,921,192,149,619,217,225,558,976,538,454,
710,733,031,738,116,332,682,835,499,473,058,098,933,151,994,964,463,916,927,
963,041,109,554,229,650,329,643,025,778,616,302,783,219,697,159,531,385,969,
942,615,647,285,411,358,149,819,830,866,339,326,158,180,368,230,727,082,198,
106,026,690,489,310,215,290,496,100,485,464,489,849,059,966,021,284,132,157,
650,332,881,432,711,376,549,380,708,822,923,870,341,411,635,928,815,472,548,
765,577,787,016,384,964,082,422,324,746,150,128,169,501,340,634,747,508,227,
830,888,095,492,593,847,631,238,637,674,330,038,070,057,242,430,939,276,627,
726,073,097,099,519,796,134,000,297,322,031,207,616,780,768,113,822,000,896,
413,917,904,829,487,764,319,931,819,869,825,137,293,625,707,220,485,810,925,
091,953,466,862,207,464,563,839,347,654,793,583,274,222,849,542,345,004,002,
651,756,326,044,598,841,331,542,683,460,846,511,158,592,386,201,894,652,240,
069,038,555,498,570,872,703,574,288,311,302,463,662,000,127,791,402,417,631,
734,454,794,372,784,692,659,983,569,022,964,411,944,087,366,346,971,913,900,
304,950,272,226,070,167,973,679,540,858,446,049,228,759,333,564,738,513,613,
202,869,201,489,162,976,034,170,717,860,533,246,914,743,534,045,526,427,770,
392,604,990,931,162,115,359,084,308,090,624,808,452,344,798,932,807,253,121,
696,411,307,880,877,431,400,003,088,825,873,030,650,924,419,505,928,426,753,
799,462,329,352,202,764,307,123,295,805,136,605,739,488,786,408,236,401,941,
646,292,231,473,397,454,017,673,826,159,924,690,224,176,124,683,704,648,149,
848,293,104,956,498,867,618,245,435,039,751,211,235,831,630,031,075,970,601,
008,022,537,230,657,306,662,656,046,741,361,219,949,481,620,194,333,468,105,
782,141,492,126,859,684,847,726,666,762,002,883,845,912,021,137,539,237,963,
757,752,707,861,043,192,512,204,635,846,708,064,088,378,962,706,370,357,079,
107,981,495,931,679,000,336,278,294,169,215,585,119,741,507,493,256,345,501,
349,694,567,078,076,516,330,725,592,717,623,347,582,228,444,240,185,348,382,
261,761,608,194,502,572,203,085,682,275,988,358,443,616,224,938,173,263,079,
272,926,550,717,969,728,331,228,929,733,014,994,958,226,019,159,995,488,692,
688,350,253,906,055,727,723,614,768,786,726,525,588,252,121,668,334,190,712,
339,455,232,958,936,459,006,810,298,881,586,010,230,049,906,721,255,198,234,
415,618,182,341,915,763,787,670,232,239,989,147,840,611,732,399,316,420,537,
497,380,798,458,417,669,058,632,008,738,753,449,141,640,704,062,518,577,788,
451,032,557,946,077,718,237,149,740,318,451,581,482,414,724,113,267,324,816,
669,448,587,980,694,485,906,858,961,342,039,851,663,258,373,220,055,587,451,
836,454,531,239,518,414,237,127,044,787,935,150,778,249,985,486,781,764,990,
468,602,668,249,240,635,150,939,570,842,110,526,717,702,625,410,490,315,730,
536,884,168,437,843,260,249,367,417,276,960,343,729,604,216,921,090,983,309,
302,078,116,554,233,030,155,421,137,080,472,120,770,442,881,723,324,868,555,
414,481,314,440,448,316,249,437,563,357,560,793,903,133,542,901,163,111,367,
109,257,619,956,676,982,701,953,522,436,790,716,721,137,771,205,244,142,159,
551,727,362,603,042,040,669,083,949,206,149,091,081,863,718,742,026,146,974,
888,036,318,239,106,993,882,940,781,054,341,705,776,056,678,476,849,298,647,
184,552,232,048,212,330,871,259,786,124,832,761,146,015,489,376,435,840,477,
965,271,300,013,648,491,763,336,739,005,039,783,214,059,314,609,921,843,167,
520,310,858,638,892,601,521,743,729,485,693,674,903,428,443,333,202,205,240,
863,468,842,885,584,383,462,964,425,192,202,696,025,062,859,097,244,253,046,
900,175,340,447,767,361,881,484,700,861,739,998,170,926,674,482,555,076,826,
505,605,608,785,858,646,254,347,452,424,379,397,538,902,995,515,031,022,152,
908,035,858,189,457,862,533,316,228,449,042,938,830,262,374,680,735,315,409,
696,111,949,296,240,362,535,584,348,964,313,123,124,993,029,798,923,190,633,
039,025,360,804,268,299,686,539,935,830,927,667,999,416,568,654,654,522,087,
489,525,527,799,167,790,004,222,813,861,763,603,733,285,697,466,485,870,689,
386,933,271,964,184,879,369,223,967,238,569,647,289,455,416,002,562,604,977,
335,153,351,867,794,213,585,977,867,933,205,944,733,961,802,101,989,138,847,
743,158,527,251,506,285,687,123,374,475,744,484,250,279,905,726,700,009,269,
102,757,729,673,362,191,714,765,500,311,584,833,021,082,867,458,066,719,275,
428,480,597,286,715,831,211,863,852,468,569,639,916,257,564,479,559,435,409,
813,603,493,382,641,787,495,310,434,038,114,311,285,445,474,231,541,650,374,
755,029,944,310,439,214,829,817,827,933,175,814,300,362,744,496,932,080,804,
302,629,656,059,044,086,464,492,429,043,260,804,441,963,157,085,329,833,768,
436,411,927,289,225,210,925,736,810,779,766,641,566,106,501,894,879,871,421,
366,808,240,558,300,444,540,840,185,921,101,719,858,174,994,079,097,954,205,
047,332,150,904,717,047,076,203,365,325,181,294,899,002,481,232,626,005,657,
263,401,801,541,789,436,195,946,892,078,705,762,920,090,966,067,608,862,040,
193,703,673,056,924,785,984,319,199,114,653,270,732,067,566,366,762,025,883,
439,249,656,360,710,858,854,325,080,528,252,056,234,462,770,671,265,236,370,
856,802,773,464,213,600,250,843,599,174,465,112,276,056,545,479,057,904,432,
133,492,057,910,302,385,519,428,263,121,310,747,862,509,582,266,356,809,570,
514,897,977,997,051,833,955,821,286,679,318,649,986,027,322,452,081,491,399,
623,052,365,814,825,482,823,093,110,312,847,062,094,276,985,107,873,212,500,
333,873,323,180,334,545,833,522,073,431,196,116,174,661,928,927,583,627,774,
087,651,258,564,404,089,338,928,990,153,970,306,560,282,166,210,775,858,026,
829,892,561,167,722,580,182,015,521,442,584,453,180,164,316,822,235,044,674,
024,926,885,023,200,830,491,221,991,721,145,262,116,665,420,403,348,907,314,
794,690,833,671,639,330,646,125,542,213,869,819,393,875,505,607,371,418,545,
757,331,850,882,999,991,489,928,899,377,559,078,386,625,678,362,605,898,323,
942,655,532,361,866,607,087,928,063,801,856,188,332,088,043,846,851,041,403,
189,243,795,790,786,157,018,497,091,473,201,464,876,810,482,768,618,404,511,
068,331,118,504,214,925,799,787,718,789,883,840,545,829,939,513,118,721,006,
855,340,023,280,655,466,126,286,601,715,437,060,963,941,201,646,551,234,252,
980,837,186,237,208,766,824,774,723,741,149,119,308,765,877,749,226,224,420,
468,625,246,951,146,312,334,786,646,666,987,641,770,873,182,143,924,681,421,
119,445,015,861,098,109,240,438,480,803,599,066,846,824,892,625,570,711,897,
777,849,035,878,657,448,712,804,812,617,261,158,672,203,728,298,970,869,927,
577,324,081,491,620,059,971,798,151,341,994,870,960,373,767,336,158,278,082,
550,697,612,989,766,784,830,067,106,166,862,887,183,516,767,755,131,546,252,
065,044,352,303,143,100,896,806,395,276,504,546,902,224,689,767,915,032,688,
202,315,911,825,231,552,821,809,618,530,857,382,589,197,281,396,657,299,603,
247,208,197,963,078,817,042,771,502,886,274,794,170,956,080,563,239,921,092,
594,840,484,027,351,032,699,403,437,833,793,211,179,058,465,808,768,014,907,
283,571,385,911,440,558,223,220,962,307,934,111,182,495,422,514,238,121,531,
290,043,758,389,416,022,367,929,184,956,551,976,363,990,153,767,525,524,953,
990,483,644,941,283,994,871,872,820,933,205,535,034,958,637,415,368,994,240,
148,536,333,719,858,978,023,456,453,347,898,170,751,384,164,762,975,901,405,
203,317,370,635,335,742,409,980,301,341,172,639,573,351,202,297,410,143,473,
621,334,980,634,497,099,302,141,431,544,774,464,118,546,080,021,056,798,717,
694,353,567,175,292,107,482,220,082,593,134,795,438,735,017,990,312,023,784,
577,993,098,476,540,501,978,099,328,355,027,111,951,987,474,945,689,375,382,
506,256,067,429,011,836,859,547,487,486,347,769,515,625,271,314,871,366,306,
355,397,314,588,607,479,730,286,539,394,822,251,705,667,492,208,983,494,721,
919,789,476,038,621,492,484,819,011,230,161,886,105,577,555,406,969,796,065,
168,077,747,710,567,709,683,582,697,207,670,817,498,470,366,881,436,859,403,
385,932,057,731,275,016,381,017,239,415,731,708,597,116,014,592,558,321,515,
883,083,237,492,310,666,755,570,866,822,156,943,728,866,493,151,648,232,419,
395,127,036,864,833,455,877,994,121,810,352,666,718,238,277,742,173,027,028,
559,905,799,935,387,210,020,611,803,391,709,468,590,907,266,148,210,532,780,
857,158,939,551,228,737,009,736,209,940,378,418,209,626,913,440,402,279,556,
563,045,192,308,483,219,335,784,379,991,370,979,432,473,380,943,206,622,018,
635,409,745,968,920,746,615,399,114,755,125,421,687,962,914,689,904,307,387,
462,758,746,288,140,629,042,134,937,233,653,146,378,773,167,775,285,172,018,
150,416,337,108,338,528,297,870,259,715,093,671,056,580,698,159,197,786,497,
568,627,118,134,518,892,840,512,021,949,248,365,018,005,458,285,365,131,350,
877,489,709,157,601,148,611,180,946,057,362,582,503,978,894,633,694,703,377,
148,500,396,433,604,749,926,940,062,987,833,985,377,716,051,186,710,502,668,
909,425,498,781,133,367,839,615,186,601,679,724,938,448,719,967,863,754,603,
201,510,700,433,025,082,826,448,583,353,677,883,881,704,917,106,777,553,437,
394,975,374,305,816,891,571,576,003,273,945,950,969,931,446,591,840,261,664,
535,476,707,374,208,764,781,051,126,680,233,680,378,151,104,735,883,970,932,
223,344,722,338,147,345,876,821,554,958,834,811,211,569,361,700,171,518,135,
145,283,859,597,753,462,610,389,005,556,588,994,395,523,231,609,088,177,353,
760,575,540,535,753,744,383,086,687,391,723,838,490,466,068,872,769,511,560,
569,056,883,106,290,199,464,164,152,378,514,636,034,124,395,064,658,694,913,
210,631,870,694,390,994,179,228,750,453,820,257,748,789,591,415,613,897,639,
258,377,559,202,170,713,044,643,794,694,084,102,553,797,565,343,085,864,437,
655,038,884,786,756,359,407,879,273,171,113,139,479,974,020,376,813,840,798,
786,977,753,488,844,118,009,506,195,829,642,308,744,128,042,561,333,278,772,
089,866,339,190,182,805,514,905,175,084,612,500,031,436,486,604,069,105,082,
056,842,940,077,357,224,198,886,197,264,713,059,027,746,844,907,066,688,411,
366,785,171,319,201,797,345,116,954,694,953,056,938,894,110,548,309,983,998,
604,355,292,356,048,241,345,335,914,402,889,316,940,271,234,150,877,071,779,
352,568,756,593,038,161,786,323,054,671,180,604,121,367,267,071,495,349,458,
691,363,720,748,749,042,917,675,410,535,646,539,405,440,257,317,735,068,144,
975,898,474,110,419,844,643,897,921,361,375,888,958,536,068,753,942,846,955,
626,668,629,890,153,385,081,723,403,288,240,231,987,508,844,709,602,979,226,
941,820,131,905,699,741,623,401,789,043,596,922,199,329,567,174,994,942,808,
607,358,433,936,294,179,560,216,719,057,723,882,288,879,876,079,518,971,082,
076,989,987,462,013,580,800,743,917,240,159,522,468,587,715,504,572,506,582,
417,720,885,166,530,947,773,147,174,141,938,277,473,643,168,684,948,275,115,
789,218,648,479,224,135,660,149,314,542,662,233,910,822,260,059,098,060,667,
356,516,521,226,538,662,106,115,727,623,304,774,516,749,047,013,233,528,254,
636,921,923,622,822,460,233,274,805,064,708,877,699,621,024,861,693,015,884,
915,780,372,821,731,147,702,215,007,579,122,132,968,087,708,335,207,977,748,
768,441,873,388,045,480,717,853,595,494,612,042,206,984,223,550,731,915,490,
242,550,901,392,410,763,827,867,195,409,602,042,304,735,053,432,652,094,707,
488,580,366,094,988,662,013,073,844,035,256,407,212,016,097,408,410,812,136,
028,067,964,357,796,108,108,123,480,705,355,981,344,278,597,026,765,091,008,
512,676,277,299,421,161,445,586,185,422,338,988,635,187,625,301,247,486,094,
569,982,624,387,527,087,515,555,218,659,568,820,236,525,781,523,527,842,237,
127,288,807,839,145,380,017,393,100,735,161,668,727,576,931,341,556,076,975,
199,499,461,812,347,774,238,664,197,580,370,351,896,876,481,740,408,154,783,
600,293,446,227,921,968,919,015,857,318,906,039,747,157,913,742,182,002,371,
015,032,141,668,429,789,862,009,095,154,381,721,769,646,439,384,063,406,406,
767,781,969,214,767,632,029,605,722,681,589,130,852,774,656,753,837,431,181,
195,103,076,279,779,877,508,495,143,416,429,791,562,771,254,929,367,534,281,
418,143,690,238,091,581,159,596,901,638,326,494,983,862,774,961,605,898,853,
294,498,321,158,081,599,879,878,421,478,694,138,564,445,811,014,725,790,683,
930,881,956,512,963,940,911,396,163,589,789,170,273,572,732,456,561,937,681,
132,597,887,831,122,862,666,964,948,135,240,975,034,157,090,894,855,703,119,
120,174,411,933,723,593,228,152,347,587,123,533,024,125,233,694,256,803,950,
442,728,534,705,536,217,693,151,637,845,769,761,230,245,387,131,624,409,648,
487,046,702,890,005,981,674,848,503,269,760,569,353,600,581,445,257,033,450,
469,031,261,064,299,828,824,888,579,110,444,410,247,665,146,137,972,371,556,
678,843,865,573,023,743,297,971,721,614,039,412,783,445,134,481,449,291,939,
683,100,455,893,544,224,258,798,053,114,988,728,811,488,108,383,395,456,573,
025,772,326,468,581,591,945,248,429,365,946,622,756,440,795,850,371,524,322,
252,899,364,752,858,253,955,060,030,704,825,363,741,957,588,194,388,321,024,
447,810,882,881,743,851,232,101,979,656,985,096,044,466,085,553,188,397,416,
473,644,812,684,996,370,734,505,957,972,598,654,268,812,720,877,164,113,951,
638,072,485,197,176,341,305,025,134,788,607,908,325,938,395,164,806,136,070,
773,838,371,093,120,700,046,371,844,930,732,634,440,313,729,694,832,556,265,
733,190,906,545,930,020,302,581,403,494,078,864,093,808,418,905,710,870,021,
144,134,984,320,461,248,665,453,532,624,543,128,472,875,415,841,150,359,002,
721,572,930,668,033,981,857,393,521,694,080,787,544,383,920,909,222,310,742,
437,324,824,664,250,916,380,819,059,529,093,876,409,306,718,903,675,366,697,
563,912,148,912,735,552,241,613,560,605,619,598,593,313,518,109,545,196,551,
063,095,420,392,054,409,873,218,866,842,431,059,918,546,688,622,489,637,818,
985,209,692,249,843,668,328,496,296,258,465,968,616,285,700,122,822,549,498,
667,580,979,112,303,825,798,482,565,583,172,627,460,810,985,916,298,506,961,
088,993,756,647,779,266,827,559,514,894,445,893,794,259,773,088,300,665,538,
590,158,926,236,340,944,107,074,360,193,694,868,538,676,195,055,459,518,801,
891,166,998,952,302,247,232,087,259,318,169,299,721,988,015,816,854,674,109,
566,119,998,060,749,543,264,513,722,334,846,857,359,148,782,734,718,699,118,
311,235,794,090,410,334,070,703,975,266,373,174,154,719,985,077,586,089,834,
092,338,386,685,676,570,588,027,948,594,312,362,950,570,049,857,052,818,549,
804,599,578,390,857,658,074,583,579,715,386,883,302,244,124,971,643,076,358,
878,658,780,276,777,443,959,959,317,920,962,190,494,972,911,645,169,108,995,
834,887,512,057,117,456,074,723,238,840,740,098,133,798,077,838,248,544,721,
075,346,589,974,808,421,197,240,332,307,624,477,405,234,521,821,379,902,663,
641,173,858,195,397,381,850,354,653,773,097,493,118,925,637,703,198,012,868,
857,474,251,677,205,512,949,541,960,859,243,218,033,475,575,387,808,926,328,
397,984,014,883,615,698,096,202,755,110,620,398,188,868,882,173,065,634,214,
133,693,084,070,175,662,075,444,199,294,922,890,233,520,646,663,092,819,793,
393,444,280,514,137,168,271,959,283,976,762,630,845,146,356,021,256,138,940,
056,098,982,733,387,974,952,456,711,071,481,038,072,875,724,789,605,992,909,
120,912,431,378,305,846,967,359,429,519,866,724,895,463,079,664,823,270,084,
863,498,370,946,346,742,153,487,195,818,843,104,098,250,147,419,288,571,865,
455,598,086,005,734,506,827,671,885,741,990,629,408,514,744,572,440,706,442,
908,042,446,188,126,351,912,885,501,296,441,115,790,097,281,400,309,449,091,
441,242,289,785,818,374,942,087,122,201,716,138,645,710,061,636,479,417,998,
966,162,057,601,357,484,449,589,021,477,617,716,302,366,773,745,181,700,150,
857,613,676,142,615,910,202,873,230,123,483,222,245,104,703,484,216,081,596,
317,557,407,993,355,194,987,996,363,085,045,821,761,366,910,448,284,829,123,
993,997,316,951,128,817,809,025,905,099,210,806,021,059,356,127,737,913,161,
482,772,031,485,965,715,646,694,190,046,665,673,472,524,253,513,152,114,117,
474,868,844,137,213,538,312,865,777,764,512,767,730,821,938,574,578,790,084,
680,395,537,032,760,948,639,017,387,640,527,493,897,049,694,719,236,669,076,
321,574,157,392,652,426,790,130,778,887,947,778,626,024,957,811,653,376,533,
046,540,335,841,485,972,202,880,633,668,539,875,763,366,458,996,242,014,650,
876,675,833,506,292,757,773,821,498,042,868,512,890,989,332,364,302,343,440,
410,699,949,400,555,500,590,256,469,530,217,342,486,135,455,373,567,268,216,
439,694,469,454,461,327,502,320,226,472,916,104,394,298,836,137,711,407,102,
726,374,385,932,235,305,181,737,424,739,045,261,051,475,058,777,959,477,838,
025,039,731,950,390,221,031,310,676,667,052,869,643,139,884,380,016,143,459,
612,415,368,872,958,077,093,574,907,382,043,603,650,787,843,915,339,587,190,
036,513,868,161,308,773,875,548,332,661,909,334,529,236,063,162,856,189,962,
409,137,935,830,322,864,235,400,657,750,688,359,501,812,169,826,797,070,362,
952,313,736,660,375,603,239,079,642,084,521,295,380,650,522,079,738,313,629,
653,271,555,034,989,381,664,513,376,893,747,364,691,769,060,268,165,922,803,
428,746,101,324,050,468,877,593,071,769,591,369,986,523,351,951,930,374,151,
879,482,183,450,070,105,593,391,102,504,144,211,717,614,120,197,358,986,390,
480,266,489,961,198,617,284,887,821,451,650,618,518,419,862,539,328,257,091,
729,377,785,257,063,260,839,708,954,211,625,542,634,706,151,646,270,852,035,
228,239,738,088,625,940,293,399,634,738,176,844,662,138,046,267,746,370,777,
163,045,240,704,191,879,817,455,731,152,930,108,931,118,943,028,253,503,595,
604,951,303,765,171,093,550,442,006,874,006,839,577,869,810,438,681,928,910,
278,272,997,259,630,490,284,988,702,525,853,326,039,948,491,315,257,572,955,
684,995,667,766,965,996,864,298,716,978,308,742,274,482,431,081,723,122,298,
834,533,119,467,224,383,015,751,968,176,808,996,283,857,766,969,755,649,111,
067,714,369,287,337,873,851,613,729,707,111,234,134,009,417,969,047,342,523,
349,187,633,078,007,482,905,589,583,521,482,333,617,282,873,339,976,509,976,
887,992,218,028,463,221,075,085,930,652,395,734,174,525,237,287,779,928,409,
524,443,336,832,438,357,404,520,901,307,683,209,034,067,224,005,347,833,511,
311,207,217,343,602,041,783,531,669,224,791,519,903,855,963,458,944,330,253,
997,022,024,242,620,719,977,279,443,860,517,921,233,627,786,154,154,757,441,
001,125,578,814,437,043,398,620,394,282,026,521,147,258,523,181,521,302,792,
836,953,773,952,350,570,522,486,846,617,996,147,613,414,158,502,069,478,838,
353,805,726,137,883,204,460,268,476,790,317,974,974,934,210,500,889,028,794,
069,548,773,498,788,340,950,378,308,422,444,359,198,956,022,529,039,530,570,
427,410,590,480,555,484,456,280,875,785,354,703,585,901,660,554,641,216,910,
706,750,899,974,680,473,448,382,311,137,218,186,423,825,560,137,311,288,504,
774,061,518,702,874,688,824,918,098,072,579,221,522,855,822,260,608,112,195,
987,971,870,660,803,397,785,271,026,957,044,743,014,771,118,614,903,634,517,
649,073,813,787,501,046,580,400,545,366,688,732,319,918,388,964,743,616,654,
342,414,184,913,287,846,564,229,746,969,536,623,590,733,451,502,093,086,024,
757,432,554,025,000,930,499,915,655,756,350,373,152,236,437,930,061,252,439,
492,071,873,648,241,400,264,758,519,237,479,764,551,313,069,062,586,234,259,
476,540,363,291,485,487,326,428,689,424,910,300,342,048,358,151,631,456,502,
311,170,408,298,455,997,834,302,275,956,122,580,277,570,826,094,479,471,066,
107,053,464,935,306,979,528,484,177,671,888,506,280,431,327,546,087,695,489,
696,446,245,362,240,083,014,842,761,843,865,865,517,713,791,656,688,208,576,
975,124,048,485,811,757,417,347,639,303,385,122,392,174,326,346,812,351,080,
380,345,413,517,262,451,483,899,087,733,522,153,842,296,881,530,595,947,457,
111,972,814,002,156,972,696,745,601,166,087,586,951,519,523,044,806,920,363,
852,414,038,027,977,541,316,935,232,147,032,587,717,426,252,794,255,704,011,
467,823,300,964,225,254,284,795,452,692,516,207,794,553,201,851,328,516,885,
951,739,354,531,183,751,256,218,091,473,004,114,613,241,130,173,411,276,719,
348,690,571,897,168,421,651,816,742,947,585,701,774,071,261,276,361,140,566,
636,172,753,589,025,338,699,424,028,841,511,753,099,874,001,210,351,344,999,
532,858,341,674,832,539,440,304,111,950,937,226,804,952,450,940,387,028,951,
619,170,532,045,577,844,146,207,110,412,007,361,442,936,575,403,215,476,331,
395,314,839,449,927,694,614,504,908,857,079,137,257,942,324,313,024,626,331,
150,030,757,696,619,487,771,255,524,406,608,227,860,977,615,799,814,957,536,
792,826,230,788,157,813,875,791,050,142,810,693,770,663,239,861,775,347,573,
338,874,412,395,361,859,672,540,233,970,807,253,135,560,544,718,423,986,861,
844,392,168,005,191,989,129,254,650,389,920,137,882,086,321,420,790,743,222,
023,871,353,291,844,948,483,683,329,587,065,159,376,156,266,087,072,854,842,
466,278,247,574,481,889,804,785,863,782,388,518,734,138,868,690,043,743,234,
696,213,005,518,382,697,455,543,222,042,296,766,917,496,892,085,922,418,164,
465,872,323,221,601,820,124,771,421,433,500,799,702,992,932,031,897,873,835,
789,128,207,742,778,577,477,773,644,260,948,693,058,466,865,570,092,243,291,
244,602,217,931,751,363,555,238,146,782,142,473,516,871,099,847,158,202,416,
706,685,856,058,269,006,330,960,637,493,439,637,577,946,747,960,287,927,565,
889,927,191,067,026,902,367,843,534,732,271,613,250,199,208,763,442,194,045,
132,882,209,783,347,520,454,114,629,220,414,650,255,557,090,801,407,720,829,
005,696,065,116,405,161,498,777,882,583,700,901,675,882,588,178,020,608,900,
642,970,603,058,695,518,568,713,302,638,686,693,140,318,367,541,137,078,017,
042,121,713,418,722,201,175,878,991,268,594,762,355,766,238,828,028,879,672,
988,745,255,276,093,108,368,168,688,599,473,758,516,107,900,158,129,144,865,
774,716,191,664,221,731,336,475,943,597,581,789,355,523,959,246,703,282,121,
187,941,270,075,780,043,796,302,759,493,955,334,837,941,719,035,949,525,020,
921,481,726,902,852,928,514,806,869,901,763,663,211,239,723,388,361,879,193,
625,333,267,713,098,245,488,533,406,908,744,589,152,932,039,527,536,364,149,
786,172,430,160,991,640,062,829,459,736,682,012,559,273,176,796,680,341,140,
069,962,145,008,982,483,224,115,728,595,944,751,247,232,154,725,454,659,519,
962,854,483,150,550,785,437,786,320,911,642,806,499,527,672,256,438,785,982,
324,593,259,179,737,367,497,845,499,029,338,009,885,569,488,353,187,365,990,
437,918,911,832,507,351,459,404,727,763,459,372,560,054,522,884,632,161,171,
480,994,047,395,968,171,460,534,408,114,415,561,227,911,794,108,190,672,348,
876,944,975,672,469,071,783,894,929,076,832,607,288,919,275,403,895,308,600,
944,105,870,497,628,559,633,973,010,109,387,428,991,625,135,094,754,299,297,
247,043,769,589,903,954,164,292,230,142,772,700,843,245,618,487,681,123,313,
109,246,851,050,960,564,753,373,354,470,772,201,317,743,032,952,676,945,976,
206,298,398,631,555,130,553,804,478,366,204,002,286,796,526,176,551,061,806,
318,621,693,859,265,208,579,658,749,967,199,757,414,830,467,798,203,224,936,
323,272,835,852,647,252,352,713,790,159,115,612,006,950,300,377,712,068,493,
359,842,752,283,004,824,852,424,279,454,419,538,403,390,252,199,782,074,072,
812,216,307,786,677,354,929,489,150,832,150,249,948,843,380,049,166,157,046,
735,861,715,333,515,897,107,599,724,428,098,427,256,234,613,670,093,753,366,
231,880,434,958,747,095,847,311,009,176,792,760,600,486,759,344,123,061,134,
209,761,369,996,368,829,994,117,617,299,301,628,982,750,952,603,751,524,091,
845,596,962,471,319,544,931,457,878,936,071,693,292,289,409,211,705,964,652,
645,912,272,949,909,921,094,434,715,932,682,780,730,570,461,453,531,843,239,
731,004,195,566,174,831,688,646,038,384,995,224,952,660,284,232,769,810,165,
061,179,661,799,674,070,938,582,442,240,529,028,893,065,106,457,207,362,936,
898,096,980,041,290,883,721,964,946,469,362,813,204,649,364,048,959,698,075,
723,490,418,523,616,584,545,144,799,210,755,258,639,714,250,489,984,554,292,
408,860,072,336,054,383,893,469,486,245,567,376,390,475,585,949,923,794,054,
700,471,547,941,157,712,504,402,603,472,536,410,194,574,298,549,757,611,142,
859,026,514,112,446,151,243,111,196,437,516,870,320,126,230,413,765,042,384,
028,702,858,511,954,851,932,158,937,524,892,473,357,540,166,731,838,605,618,
271,523,571,146,468,253,276,651,957,917,674,313,738,379,550,790,214,756,428,
321,257,454,752,015,648,444,849,149,244,916,717,545,204,247,201,617,190,190,
025,333,347,524,522,910,811,149,827,124,576,805,016,195,680,434,022,535,448,
081,119,811,432,214,056,416,881,125,880,861,513,871,223,847,780,853,817,480,
945,990,949,031,468,213,393,129,204,575,751,387,227,152,721,475,528,335,225,
615,025,050,627,715,305,945,581,376,153,874,397,731,351,783,850,663,731,622,
307,932,920,427,774,746,666,464,728,494,350,306,213,222,799,333,593,420,626,
209,819,181,476,681,858,942,487,999,260,422,947,732,840,753,696,948,120,843,
389,855,712,096,942,825,650,885,171,508,344,525,438,719,437,504,239,893,491,
522,645,680,680,692,018,824,796,439,150,868,897,772,131,678,952,465,328,005,
594,470,619,775,253,141,199,536,980,019,231,019,287,869,379,291,310,055,843,
473,080,468,069,447,210,242,443,697,411,477,217,397,387,994,268,317,206,296,
315,068,082,549,483,277,777,479,817,341,181,019,903,282,756,740,689,827,480,
494,460,408,627,387,740,061,663,780,511,654,338,938,596,010,459,761,781,590,
124,357,254,673,251,210,460,616,105,993,691,316,461,048,413,337,929,760,113,
351,226,066,658,568,931,267,228,614,341,093,015,939,139,708,941,695,712,893,
800,897,966,424,163,557,117,489,278,848,529,304,528,376,512,188,031,004,160,
333,642,493,791,239,283,071,539,647,919,523,763,452,281,307,344,098,310,316,
324,088,702,362,857,537,049,176,851,034,653,642,359,545,689,617,327,963,549,
825,170,384,821,896,074,690,656,561,221,336,745,041,462,134,829,203,036,048,
651,102,200,743,011,242,927,816,646,206,155,563,336,251,733,989,610,489,529,
271,293,797,608,053,123,768,814,160,893,339,346,723,530,958,863,011,960,954,
533,297,212,750,459,604,708,923,547,456,277,315,962,383,410,623,495,158,300,
197,413,673,106,561,278,578,747,539,165,057,483,193,472,834,066,005,139,119,
658,709,862,869,468,414,897,788,102,807,590,299,813,622,860,171,960,645,512,
920,250,197,237,103,182,806,726,848,823,181,763,112,060,952,380,941,909,047,
695,479,935,677,262,729,333,551,126,418,543,678,222,053,062,820,201,503,456,
105,600,425,319,663,307,594,479,745,598,513,758,619,123,188,088,046,970,581,
470,265,401,351,097,071,638,387,587,409,060,425,580,102,874,259,027,711,036,
763,554,832,467,863,260,963,224,605,328,904,673,488,601,976,697,033,202,652,
906,056,399,568,920,322,159,430,444,061,691,360,268,838,116,910,283,207,979,
482,569,508,097,480,047,351,078,700,110,411,004,059,058,586,230,754,842,647,
928,569,478,431,699,485,282,619,020,259,795,636,465,035,961,412,741,780,298,
637,470,612,500,219,595,111,269,512,168,739,786,409,982,912,303,734,762,713,
335,441,518,404,682,901,753,396,628,973,648,805,719,711,086,523,952,699,525,
959,366,960,980,448,399,863,779,410,772,896,268,539,297,969,547,460,373,309,
694,675,797,324,909,581,178,596,755,035,451,928,390,439,733,685,441,119,190,
701,842,538,193,176,602,650,067,150,122,490,568,820,404,242,422,743,502,671,
868,964,461,083,362,752,924,439,916,768,792,537,632,114,423,404,535,591,345,
184,445,562,578,626,060,291,353,083,716,458,922,807,883,992,884,039,662,436,
705,943,075,009,849,430,988,511,630,599,511,422,706,325,623,484,430,108,570,
484,800,201,483,746,543,405,376,123,560,232,872,610,062,160,616,956,377,989,
195,335,133,846,960,142,598,161,814,079,503,899,905,414,367,933,191,487,417,
764,633,569,979,342,167,773,397,623,559,303,861,083,480,936,678,229,525,982,
994,893,355,499,125,943,829,269,860,723,396,560,873,487,030,666,460,841,580,
440,959,211,804,151,476,845,129,284,713,820,422,134,546,795,581,070,446,158,
131,710,699,883,976,303,268,825,664,764,392,756,142,717,237,000,962,076,624,
348,263,709,083,875,619,843,830,906,814,589,346,976,505,916,309,761,357,961,
043,827,502,511,628,931,730,664,500,598,444,323,679,980,064,713,393,443,217,
402,638,707,923,398,314,682,319,563,496,692,153,159,316,120,153,840,243,923,
516,448,603,839,170,161,729,863,417,864,574,922,063,308,643,641,685,412,935,
265,228,265,661,186,758,186,617,287,591,734,066,296,643,097,655,323,496,174,
104,194,941,665,158,357,960,941,745,250,771,991,792,422,286,033,892,116,542,
371,877,287,970,676,896,701,637,653,052,430,401,323,399,161,188,727,542,082,
159,677,886,535,124,423,226,390,336,528,465,107,931,971,264,436,008,373,687,
562,851,539,353,881,978,038,312,468,785,178,375,305,772,807,941,119,345,816,
688,096,746,849,189,696,265,549,153,387,969,933,200,948,525,545,015,761,158,
660,953,718,404,118,155,942,834,499,493,464,944,467,129,030,134,177,350,938,
281,531,171,976,997,433,283,631,125,485,134,714,429,976,340,087,718,017,083,
729,547,900,676,998,060,969,813,284,429,413,232,081,643,629,295,410,254,588,
432,382,083,562,894,235,870,231,716,950,390,126,836,956,783,383,352,346,769,
387,755,120,076,356,968,667,269,739,388,489,092,351,240,116,402,444,162,989,
660,557,813,278,236,149,816,121,000,648,053,725,256,143,440,374,638,140,435,
884,992,444,140,131,123,394,203,638,829,452,590,306,449,668,059,093,059,507,
041,290,009,247,949,837,693,588,707,931,928,451,600,307,163,185,680,111,423,
517,904,087,920,685,639,174,202,409,653,275,998,012,292,121,308,893,979,930,
836,817,806,615,671,104,312,399,688,888,571,827,002,130,761,051,333,168,509,
196,081,774,620,157,119,212,255,796,034,155,019,250,978,989,911,871,979,506,
138,092,932,514,165,360,557,994,839,086,073,547,990,847,793,480,953,224,754,
447,487,627,990,269,917,415,846,438,021,647,228,500,430,470,162,579,700,769,
920,247,417,133,560,454,564,437,524,114,236,601,467,318,165,576,156,954,122,
155,275,914,229,026,574,809,037,104,394,397,333,847,725,635,846,310,716,404,
178,513,909,056,070,312,319,383,949,744,998,507,911,533,320,863,545,681,577,
778,209,911,164,241,103,067,021,736,507,925,837,268,981,480,637,719,065,126,
912,578,591,584,725,639,197,406,243,837,422,933,708,715,846,838,613,815,062,
068,277,838,517,281,903,954,491,008,310,478,097,110,764,701,227,286,451,108,
694,094,851,941,884,727,808,759,997,313,253,351,204,301,514,075,254,142,155,
251,215,043,101,573,013,072,141,502,544,130,673,549,997,071,611,605,676,644,
708,943,741,385,640,844,206,721,682,765,696,754,971,400,340,052,718,520,058,
405,519,068,731,618,767,734,539,410,965,911,154,600,603,697,997,629,632,879,
245,451,847,689,997,188,875,327,154,516,274,635,504,526,966,887,908,017,733,
986,465,723,276,866,835,708,984,906,750,509,947,099,092,836,437,819,091,619,
337,280,270,188,995,408,183,845,236,540,177,443,767,161,978,753,973,142,816,
561,312,382,993,732,589,312,317,396,903,453,054,224,409,942,534,843,860,363,
303,776,444,293,522,839,816,323,521,157,184,469,489,211,781,924,263,955,423,
843,769,582,612,345,929,919,205,446,338,451,185,589,028,658,221,763,813,546,
484,652,882,306,141,831,643,347,568,932,706,371,655,438,155,765,939,175,391,
942,821,768,422,029,159,576,071,562,639,186,933,658,981,104,915,931,928,784,
028,561,472,713,670,312,191,393,761,414,219,111,614,018,865,530,414,727,760,
302,243,113,815,145,051,998,808,520,281,518,078,244,801,307,091,158,323,658,
649,305,778,517,183,260,761,122,667,623,289,064,524,925,509,570,737,190,853,
592,498,083,817,810,312,198,691,616,034,883,218,354,302,366,826,376,805,224,
604,562,800,866,434,870,124,697,785,430,246,657,716,685,535,832,314,775,861,
667,502,226,155,834,768,507,477,700,341,609,590,502,751,829,222,859,572,391,
242,025,010,504,104,610,880,302,479,059,752,958,732,224,128,431,667,235,541,
564,021,771,057,144,823,404,874,723,421,858,473,381,662,437,370,741,032,338,
987,917,696,167,564,108,743,634,837,309,164,972,406,823,997,033,852,357,616,
022,439,622,236,359,532,021,505,516,568,320,777,741,141,437,357,423,061,417,
552,414,970,897,392,370,427,720,496,118,621,628,859,803,869,647,032,276,042,
805,563,284,805,234,471,277,256,440,146,819,194,400,067,039,392,432,713,090,
407,508,568,002,169,008,660,086,831,947,668,837,486,889,551,012,737,662,736,
435,068,776,947,203,543,215,320,716,589,189,637,434,892,412,951,510,478,870,
775,028,078,200,926,797,095,814,890,762,937,352,519,595,793,104,746,176,988,
415,151,000,445,052,930,047,867,001,069,045,462,467,816,021,200,626,466,083,
233,302,221,138,833,815,392,610,896,167,708,998,889,090,966,964,639,923,574,
387,950,121,664,728,829,298,236,248,300,941,043,320,503,218,611,617,314,626,
288,345,095,082,561,834,100,596,909,223,799,170,566,633,813,238,682,733,607,
951,171,630,484,815,651,995,796,070,830,095,993,181,083,932,668,139,938,038,
862,564,498,218,429,993,790,740,835,155,859,312,055,560,670,139,634,149,616,
027,067,871,208,748,445,566,329,270,373,382,836,633,407,483,195,940,823,951,
664,534,170,150,036,387,534,338,722,439,466,812,026,659,544,408,280,520,243,
111,647,249,603,879,659,811,613,332,244,928,753,919,429,974,318,327,325,510,
413,589,860,138,509,550,605,040,672,968,170,947,835,880,320,474,090,911,606,
303,311,306,431,044,800,343,630,607,699,342,654,379,058,224,142,875,218,861,
741,831,475,182,686,589,091,899,967,109,412,254,476,419,896,800,351,396,424,
557,209,328,227,555,984,160,819,595,851,644,173,338,833,937,863,631,419,236,
424,158,400,183,222,719,350,984,254,124,374,510,125,014,506,944,635,829,319,
185,203,882,337,881,368,385,458,293,919,779,855,086,919,223,879,640,791,087,
771,731,908,063,462,078,437,999,432,498,514,929,630,170,814,416,241,766,897,
939,440,274,865,517,903,509,431,054,884,890,802,483,632,126,161,960,279,626,
548,212,011,457,423,419,439,270,946,584,993,234,279,377,646,920,320,389,588,
457,015,021,797,987,982,690,688,167,371,745,196,150,363,713,932,737,294,120,
979,417,523,035,497,293,992,237,979,815,870,348,194,211,773,965,503,023,792,
919,224,433,247,898,562,432,430,443,690,815,520,534,238,415,513,987,672,666,
591,591,561,170,087,083,914,083,471,739,519,832,371,882,721,679,015,453,771,
434,240,693,004,178,495,931,621,631,533,064,206,910,779,309,067,928,180,740,
576,561,843,113,967,387,917,709,669,580,043,602,790,429,159,419,031,972,671,
762,991,852,519,276,774,671,668,608,613,587,726,283,878,573,000,182,955,836,
139,762,966,622,150,947,143,003,249,566,361,628,055,135,038,022,980,509,919,
419,939,369,587,505,739,817,761,922,015,649,884,311,195,737,058,712,988,627,
146,504,006,757,262,364,571,611,393,235,496,697,027,658,840,046,936,463,791,
028,508,554,616,198,152,462,060,675,914,627,404,098,757,244,271,317,275,784,
700,586,354,801,793,913,170,732,619,890,340,884,650,242,367,223,314,097,382,
741,654,136,904,256,760,601,735,128,753,860,076,197,593,492,847,067,763,246,
005,506,824,085,583,349,171,163,121,418,947,667,026,501,565,025,370,681,216,
054,431,319,931,611,766,852,244,067,978,400,092,254,020,930,312,780,117,462,
347,421,554,044,995,633,070,919,338,374,281,984,398,899,905,176,072,724,946,
855,264,181,178,304,679,999,506,471,122,900,508,327,431,536,112,192,349,914,
360,893,162,781,976,015,010,436,485,769,867,143,295,155,838,799,315,859,525,
594,693,731,262,529,842,816,388,047,197,105,374,723,767,343,319,659,845,713,
780,078,440,994,365,744,159,884,105,281,893,520,662,627,686,453,479,001,440,
728,719,259,010,914,500,501,099,386,206,114,054,109,310,792,927,934,488,537,
454,624,610,837,813,730,725,034,936,993,356,028,250,759,281,055,964,375,502,
342,419,107,008,090,117,777,193,539,870,733,104,242,952,542,726,515,724,187,
556,748,920,056,798,727,014,115,110,990,633,552,930,043,934,833,212,765,387,
770,680,746,413,392,105,990,440,817,511,040,276,245,902,592,768,500,545,749,
356,702,442,191,266,230,342,960,332,548,671,422,751,635,969,461,947,677,078,
747,079,908,325,697,210,690,580,779,707,280,815,531,702,284,329,407,298,738,
434,235,119,287,312,471,030,073,667,539,049,100,199,177,901,940,716,600,943,
787,085,626,252,177,420,565,746,358,921,958,780,311,688,264,318,976,665,183,
579,714,039,353,430,121,375,035,896,943,068,237,737,091,859,353,868,397,253,
357,905,717,980,292,262,685,152,147,229,894,289,192,885,319,597,175,589,585,
920,363,182,764,612,716,150,302,224,776,170,381,080,868,171,147,775,055,565,
538,497,843,657,210,207,247,076,500,650,000,916,940,988,334,334,414,753,352,
398,323,623,962,369,474,189,448,159,211,683,332,534,532,708,388,982,836,306,
528,600,660,076,862,972,802,241,105,007,029,072,795,643,986,816,061,861,862,
907,238,799,783,909,367,067,759,571,158,819,715,723,861,582,872,647,755,666,
603,494,680,483,126,983,383,624,760,808,562,031,710,875,365,538,661,743,755,
889,828,634,937,533,092,572,180,899,341,097,777,390,747,572,621,941,506,109,
766,769,563,476,497,849,875,064,200,383,289,893,917,797,507,409,722,215,181,
895,490,709,082,215,890,850,097,161,088,227,981,443,648,067,893,979,999,928,
954,881,216,628,733,526,099,147,995,982,307,826,334,742,071,908,115,495,776,
489,017,436,237,566,337,640,347,653,843,320,867,970,413,348,638,257,637,364,
543,587,830,188,268,749,347,364,976,365,905,680,322,850,875,670,806,481,722,
361,542,020,651,463,846,489,018,241,037,949,243,675,115,840,377,850,556,653,
038,846,078,144,730,769,771,109,837,534,489,661,756,948,346,682,922,372,588,
341,277,805,285,633,299,682,474,072,535,096,683,280,514,156,924,858,215,751,
379,606,735,865,405,213,270,322,386,798,444,172,496,318,051,629,229,537,733,
828,873,905,533,602,168,249,187,067,131,604,954,564,708,417,355,394,669,206,
800,835,295,753,039,634,243,759,047,591,707,051,133,124,997,596,030,797,325,
993,471,812,330,485,962,761,958,193,916,927,976,249,145,168,126,373,126,647,
112,974,704,571,229,684,381,098,303,852,764,791,113,934,279,561,505,346,808,
648,372,305,153,863,043,050,210,251,616,682,504,663,662,927,293,096,510,676,
299,374,182,767,888,009,729,037,876,142,446,728,423,901,871,360,553,985,147,
879,278,341,678,939,810,374,409,643,743,889,958,745,723,449,710,877,399,183,
136,176,082,013,727,049,386,514,513,091,226,173,270,527,970,692,462,192,896,
086,024,797,298,659,721,094,618,532,890,055,128,606,407,028,818,393,085,908,
453,149,984,330,642,169,405,960,310,156,376,733,892,824,292,911,973,200,715,
475,912,151,012,269,533,401,743,967,591,843,166,560,362,969,145,447,262,864,
307,351,595,393,422,818,405,906,822,015,193,289,924,693,576,946,456,913,453,
953,813,337,056,739,918,531,711,999,316,767,930,905,349,159,980,199,095,943,
919,904,419,541,235,347,066,793,184,393,072,926,093,133,965,257,025,151,974,
027,143,738,433,682,680,058,103,183,793,757,000,943,792,358,316,682,140,025,
862,339,301,013,258,438,908,517,487,087,414,637,029,834,013,098,018,620,178,
679,163,922,490,941,260,929,271,716,445,687,423,718,571,944,293,785,910,817,
062,500,911,832,657,751,117,553,039,981,773,904,054,802,228,614,268,786,989,
990,768,618,801,349,380,975,966,147,945,643,405,300,669,619,153,353,561,502,
703,642,028,413,788,125,549,014,503,695,731,836,825,283,037,784,097,469,643,
165,651,989,791,018,811,260,916,577,397,842,417,396,859,355,253,817,581,271,
012,978,189,801,188,104,048,625,372,233,438,672,542,802,561,618,673,328,424,
871,235,929,195,333,305,591,391,668,937,370,907,285,193,570,264,218,397,220,
865,638,553,646,499,710,715,531,185,983,427,104,770,445,263,336,584,506,275,
880,874,529,608,444,249,790,436,787,460,912,967,988,305,766,455,518,665,115,
620,245,669,485,893,818,879,867,514,524,996,588,735,675,781,985,796,914,225,
022,284,292,374,922,610,991,605,350,154,189,213,474,180,713,718,855,502,035,
771,938,815,223,342,332,461,848,876,389,145,576,515,979,400,151,099,393,127,
622,667,888,658,542,545,279,916,236,296,328,057,505,491,810,823,803,496,411,
544,485,757,552,943,882,314,241,902,429,790,916,939,955,590,561,321,048,931,
901,927,244,609,094,583,391,715,923,024,842,985,104,824,581,825,409,569,903,
829,146,756,951,855,177,318,152,589,255,203,484,386,308,201,826,159,118,002,
207,412,708,974,832,466,020,974,700,041,226,962,687,638,266,060,936,678,852,
238,261,074,760,837,117,266,457,439,438,695,153,690,146,963,255,073,494,355,
896,362,283,899,729,459,884,570,231,209,390,747,711,625,167,930,994,766,810,
755,671,438,188,735,025,367,298,915,071,754,832,377,258,317,596,967,463,694,
040,987,164,110,216,374,401,505,381,918,211,477,227,892,643,488,185,605,892,
921,230,581,750,485,300,757,881,361,520,703,942,835,207,949,818,588,584,180,
828,229,708,763,734,477,608,443,889,696,989,930,607,814,321,623,907,782,432,
700,385,360,704,116,023,045,747,679,400,010,592,526,871,911,124,136,708,581,
377,980,796,881,982,821,732,309,180,930,737,925,913,553,837,499,506,961,925,
703,863,850,598,543,987,985,827,678,296,346,242,090,192,123,035,707,939,757,
360,429,003,161,868,088,982,770,464,460,035,307,909,810,410,770,019,614,133,
029,976,483,415,047,662,798,112,485,520,320,366,626,132,158,491,625,356,334,
579,064,570,220,958,511,803,872,360,953,435,105,253,284,737,706,726,785,844,
111,070,162,133,775,211,252,993,239,302,708,705,054,290,479,198,376,752,661,
754,081,685,849,424,201,918,521,225,269,207,988,293,592,729,034,383,188,568,
721,576,728,554,752,730,526,459,631,849,360,972,326,530,304,608,939,025,273,
273,935,861,665,354,628,109,031,051,179,439,020,114,582,505,838,747,902,206,
954,383,130,872,169,213,770,854,938,207,866,093,128,554,650,739,438,998,625,
591,320,685,858,442,943,809,834,016,538,294,902,169,825,984,935,422,391,173,
077,659,380,148,461,389,259,544,712,322,099,013,810,338,754,193,353,272,564,
988,567,331,980,336,576,844,870,754,313,594,592,212,018,723,443,374,072,486,
660,082,761,787,112,299,414,069,986,052,232,806,433,458,524,278,976,651,274,
900,377,119,610,915,889,949,123,466,839,524,039,760,089,126,071,352,190,138,
558,830,550,357,728,345,923,654,178,506,553,926,358,217,618,174,977,226,066,
066,700,097,855,104,564,257,051,895,250,498,357,056,814,582,737,481,931,026,
232,893,742,056,099,484,596,681,411,099,647,541,872,541,589,022,222,722,149,
966,716,376,229,660,394,199,781,487,136,878,457,546,931,777,611,387,441,624,
524,314,861,638,381,840,841,348,752,363,528,004,232,223,180,369,159,629,663,
413,619,504,040,673,805,069,808,033,689,461,792,894,268,831,178,551,438,465,
156,706,882,799,085,143,461,968,744,346,182,985,332,170,960,293,220,416,527,
202,574,784,502,632,938,851,367,225,295,851,321,856,506,319,868,513,681,735,
193,497,881,985,393,853,822,586,630,513,369,712,884,944,349,918,979,692,532,
085,552,524,134,991,969,164,117,675,871,789,003,896,130,037,231,220,315,708,
489,834,875,671,254,107,674,635,979,347,874,325,738,847,552,186,254,332,009,
445,194,962,116,225,807,425,016,166,692,060,147,590,130,960,184,118,683,573,
131,732,417,085,495,774,359,680,713,995,783,898,220,540,163,149,806,187,230,
271,718,042,984,426,379,971,120,475,199,144,552,498,280,280,578,377,625,943,
615,144,074,299,265,036,364,257,412,972,357,025,162,779,149,543,607,232,292,
614,838,725,426,786,614,769,776,324,438,312,102,785,683,661,777,293,706,935,
917,368,576,768,942,972,878,630,642,417,357,543,419,217,150,383,799,081,347,
383,004,861,006,998,951,478,066,982,574,690,271,997,159,334,118,450,245,594,
450,592,245,078,178,871,552,023,524,801,772,726,570,240,913,749,886,899,592,
027,247,667,563,908,856,175,101,605,476,700,400,599,176,000,860,674,366,819,
898,321,659,023,986,622,350,622,196,172,061,203,015,008,846,818,820,990,919,
751,455,342,657,797,841,275,779,277,145,140,748,769,904,688,074,795,907,893,
740,183,450,759,296,636,204,813,725,037,925,572,516,606,975,449,856,805,279,
899,789,916,625,120,017,466,050,941,583,078,254,621,261,866,558,925,653,183,
282,932,911,039,008,275,723,217,377,679,915,820,418,594,594,614,357,758,168,
681,424,707,299,133,188,293,952,397,412,420,623,609,275,194,783,854,660,624,
340,148,779,615,014,950,295,783,131,077,180,789,289,504,536,992,554,538,276,
577,974,598,548,892,290,225,630,381,498,104,737,709,664,206,041,804,829,746,
453,558,126,865,396,233,082,602,159,219,889,564,984,459,296,509,425,738,945,
791,815,825,260,334,394,115,874,407,511,005,598,308,412,652,246,395,830,608,
661,419,531,984,921,432,685,371,208,784,699,444,426,605,135,201,070,718,904,
628,687,661,324,185,155,025,518,107,546,058,403,119,374,236,018,601,178,862,
695,765,224,547,566,715,661,551,053,942,683,992,035,129,499,379,377,066,780,
981,630,188,901,778,789,487,023,226,259,481,217,709,889,672,386,906,318,923,
964,477,536,452,176,658,480,818,670,124,791,467,261,126,720,637,247,992,181,
133,815,379,202,144,815,479,561,110,183,836,935,991,343,671,487,003,217,716,
480,546,790,101,036,621,780,319,534,575,644,538,741,134,883,925,178,196,117,
721,672,080,445,598,269,504,097,767,445,973,311,040,462,430,951,526,042,022,
685,928,678,104,808,084,617,914,356,515,317,402,982,100,291,868,856,226,177,
822,323,103,711,487,230,602,895,076,754,297,168,909,611,581,219,258,793,164,
234,678,519,468,409,507,786,764,377,721,317,524,494,274,829,823,495,681,181,
965,335,286,783,654,906,190,590,295,766,148,635,881,207,458,161,173,992,187,
850,596,374,255,999,150,890,579,538,205,005,000,240,363,332,249,165,145,242,
997,919,732,406,554,568,265,768,682,405,912,805,277,974,012,183,067,656,692,
844,734,911,688,693,289,644,263,655,673,351,327,095,587,758,703,603,127,413,
182,473,740,827,558,537,786,163,422,040,512,363,368,849,606,190,629,276,220,
726,265,022,466,351,044,013,484,913,029,784,054,593,345,013,597,253,563,941,
340,947,137,415,356,798,350,642,161,761,145,740,755,954,836,275,189,222,971,
742,650,720,366,594,382,329,024,551,452,700,246,785,387,032,862,794,596,977,
408,564,388,972,307,579,767,585,649,269,252,920,572,281,537,234,664,720,336,
750,446,773,264,429,015,929,806,371,177,939,355,768,506,413,349,329,598,391,
935,320,898,043,673,440,047,764,362,609,299,271,595,808,306,173,300,767,232,
625,605,899,931,318,936,601,821,135,502,822,208,717,681,310,364,207,977,752,
500,917,782,670,646,490,063,052,769,595,094,483,824,348,173,958,484,591,015,
224,566,754,438,397,830,000,440,981,658,460,055,387,240,855,658,554,416,184,
512,241,559,325,434,332,547,927,768,256,990,066,872,903,987,221,393,931,645,
111,172,848,692,086,752,082,440,334,468,734,168,118,129,728,552,135,265,197,
059,275,825,946,025,147,940,357,001,710,126,916,112,889,993,407,936,441,646,
771,553,851,604,532,898,056,390,403,539,010,540,860,688,571,381,952,480,312,
599,630,225,139,989,998,988,876,722,685,706,166,750,535,328,284,487,214,290,
197,983,240,159,418,377,452,566,040,063,035,655,530,769,431,885,299,157,806,
160,375,491,929,557,129,550,067,572,396,587,250,506,179,889,835,164,895,835,
530,541,307,359,996,266,172,633,968,187,783,998,591,820,501,928,493,123,249,
401,888,282,676,448,801,394,346,397,181,190,697,651,597,009,475,625,962,921,
484,340,617,067,850,134,402,942,809,593,406,592,385,168,122,186,798,806,236,
908,803,525,478,317,529,211,674,415,267,191,228,822,019,899,515,295,084,567,
976,217,585,535,388,035,901,406,540,162,073,555,087,978,599,015,939,934,759,
760,446,459,512,600,714,487,629,680,954,391,413,803,135,827,604,864,314,422,
027,327,275,550,698,396,952,621,705,501,623,441,817,484,910,641,954,680,883,
877,433,526,935,128,430,397,918,462,960,767,757,823,745,391,798,156,309,422,
050,202,556,696,439,272,702,969,567,570,460,841,988,165,562,108,750,165,761,
171,044,720,876,179,435,601,821,255,753,695,903,874,815,472,626,048,211,859,
647,564,596,924,212,583,335,900,435,391,532,302,467,857,656,032,866,293,148,
983,624,897,218,827,100,311,336,229,090,386,117,172,927,919,318,248,617,406,
709,341,562,366,002,869,738,251,993,743,704,025,209,538,017,013,958,874,668,
584,115,184,881,406,735,173,460,125,590,066,647,319,408,355,803,921,271,738,
972,489,630,925,645,138,723,803,206,381,550,340,048,611,047,578,445,020,403,
313,573,869,577,228,597,220,553,620,940,121,951,386,698,960,335,120,707,025,
634,034,573,812,787,623,552,271,822,885,587,781,101,759,882,714,482,595,784,
851,781,203,247,809,189,897,726,207,300,815,928,986,375,397,671,624,233,418,
210,161,472,547,120,726,819,111,308,276,990,137,861,524,401,370,345,399,243,
676,249,943,188,784,233,467,732,612,574,568,075,218,062,702,037,784,941,926,
281,342,627,006,467,363,367,402,324,513,251,980,448,122,776,575,574,674,862,
486,579,826,591,241,156,067,989,360,245,177,590,486,831,775,215,679,859,631,
768,678,971,776,188,109,953,018,143,639,575,696,656,294,776,218,628,226,494,
004,233,360,999,711,129,946,107,690,510,574,849,844,268,504,535,057,045,516,
974,423,988,047,652,559,505,219,211,059,590,421,491,723,303,385,360,565,108,
211,453,619,285,183,452,548,480,979,302,956,883,174,769,865,229,495,323,107,
044,516,308,715,544,664,742,370,655,435,841,573,359,437,937,859,702,451,527,
000,338,631,588,138,289,409,405,973,452,856,484,628,092,166,647,040,978,333,
114,032,563,812,502,106,032,639,223,695,642,243,654,718,895,506,957,920,282,
191,398,826,121,847,726,857,838,150,523,708,806,360,001,716,514,532,135,517,
454,189,032,638,743,260,545,417,107,204,968,800,499,457,451,387,615,299,135,
343,205,937,903,220,541,663,555,661,559,043,225,639,251,731,238,804,796,826,
657,049,849,668,390,289,890,405,055,627,931,822,621,696,367,513,651,268,940,
290,483,567,038,301,148,885,463,877,432,225,236,803,176,558,417,298,188,442,
182,887,924,507,493,626,252,969,136,368,052,091,585,053,793,758,341,497,813,
168,318,415,240,330,209,949,855,899,353,208,127,914,976,761,810,580,652,842,
685,868,415,161,107,771,352,060,293,694,179,340,345,137,515,224,317,894,111,
995,413,308,536,022,024,524,378,646,274,793,001,459,162,080,174,968,231,969,
106,030,476,489,665,581,509,099,188,038,535,795,823,895,606,332,181,539,470,
736,413,975,817,896,975,680,372,066,494,430,130,471,058,413,666,729,322,480,
013,035,092,291,396,029,999,929,567,415,713,814,612,328,342,398,931,562,459,
389,087,017,262,205,234,515,464,778,078,413,036,056,069,776,283,082,612,397,
911,145,449,761,479,913,809,671,411,755,215,081,443,800,230,800,852,359,396,
065,235,778,940,223,304,015,857,033,444,973,317,234,217,978,410,938,459,755,
894,714,563,852,662,213,455,831,573,551,686,696,580,202,408,216,040,985,601,
459,339,309,239,065,708,421,683,817,707,899,611,190,681,002,249,696,241,221,
309,000,953,846,168,173,977,298,262,277,815,520,439,586,837,645,645,825,982,
171,764,264,415,670,834,373,691,271,838,935,619,982,440,959,836,959,376,726,
435,759,114,474,416,395,460,965,514,256,553,863,267,214,874,383,497,835,103,
694,824,091,583,828,335,480,516,603,667,628,675,684,514,889,249,257,414,958,
467,283,134,852,899,089,381,773,016,485,545,482,372,113,227,822,797,118,894,
606,948,574,481,198,131,141,214,104,553,919,267,977,757,337,182,003,006,562,
973,508,278,001,967,161,038,217,603,403,450,417,392,075,469,120,958,839,712,
124,175,522,161,277,296,192,645,932,780,911,668,098,409,575,982,682,419,647,
467,138,575,011,885,119,885,401,341,612,222,719,585,167,181,845,141,489,763,
550,492,896,981,795,368,082,384,428,303,283,450,143,121,430,033,895,983,368,
224,635,300,863,837,818,559,009,682,793,272,787,406,607,328,719,615,211,634,
314,428,475,290,618,572,869,815,536,534,969,354,899,188,808,123,040,243,015,
519,997,660,443,241,078,280,563,076,890,293,239,403,028,459,497,561,452,975,
471,129,280,006,226,023,533,374,795,770,961,183,629,933,297,498,777,057,885,
475,649,687,420,851,936,557,848,374,976,687,519,488,062,130,627,194,901,134,
654,576,407,551,186,653,993,900,643,236,757,519,571,659,117,338,900,531,706,
334,242,527,939,604,986,057,610,969,301,624,431,836,082,805,105,924,114,178,
125,694,662,464,852,669,183,269,206,915,406,259,991,096,955,074,707,396,230,
737,587,357,294,375,281,183,057,673,249,318,024,858,042,292,185,593,822,048,
821,217,761,115,881,159,207,993,376,787,776,600,388,722,012,211,748,911,798,
563,139,976,156,593,484,196,865,347,437,358,772,141,500,194,200,311,888,971,
982,452,681,647,423,079,893,744,861,343,561,985,896,247,690,945,359,659,044,
892,218,137,166,563,355,009,956,986,687,477,928,093,966,841,232,478,949,186,
964,692,001,208,012,201,181,460,113,359,927,358,714,725,944,801,199,788,050,
716,759,748,973,679,709,673,146,182,612,973,692,295,465,124,191,462,369,214,
896,707,571,381,421,606,832,474,823,699,204,578,208,755,505,418,196,073,283,
486,680,071,287,783,573,489,920,808,767,120,364,669,599,789,075,193,844,354,
165,212,773,977,633,235,784,381,046,370,684,906,049,192,697,128,615,019,664,
201,395,380,822,494,455,925,119,896,096,974,535,544,785,956,846,061,198,415,
420,553,982,943,395,891,603,033,498,903,690,786,437,832,311,370,928,954,138,
627,641,903,041,859,249,338,287,412,296,834,148,038,906,289,894,051,210,646,
997,648,375,874,185,874,381,707,190,705,341,384,607,014,175,611,230,260,547,
581,773,979,478,417,296,031,791,450,881,833,616,438,332,574,613,361,441,851,
299,104,826,376,117,223,807,101,412,126,922,670,404,999,304,735,742,633,604,
095,254,823,954,435,758,078,107,101,048,899,080,340,325,388,863,009,604,839,
862,227,501,957,519,646,003,824,151,740,966,614,282,014,410,285,329,802,103,
335,895,441,022,799,481,085,500,022,966,783,780,339,741,701,783,940,216,184,
518,585,420,554,909,411,370,114,886,363,800,023,567,015,122,379,458,676,136,
257,229,901,049,009,560,422,146,507,882,914,118,272,261,144,549,646,398,979,
353,227,574,524,478,455,154,098,048,420,825,495,642,596,214,719,616,921,856,
015,409,419,764,602,516,517,252,701,733,335,362,435,713,787,399,482,030,591,
039,977,235,647,066,797,745,307,148,720,201,038,226,903,251,431,100,869,683,
610,868,642,544,755,989,055,294,733,232,160,411,083,637,681,448,888,655,244,
452,993,712,435,963,374,364,192,803,928,932,888,754,902,718,467,268,911,134,
290,665,100,912,923,188,005,453,158,461,367,513,794,908,584,448,479,964,813,
057,703,128,403,928,454,745,641,004,749,008,341,055,405,730,503,619,166,583,
220,450,132,427,954,038,754,758,932,702,254,005,435,238,664,926,652,527,725,
136,855,246,890,180,026,711,718,221,512,720,922,822,805,188,660,586,022,385,
545,339,495,659,023,769,177,253,465,832,551,914,175,481,153,205,196,426,047,
948,624,928,606,195,284,228,495,964,197,183,405,917,759,667,877,955,927,373,
975,188,234,205,263,990,795,207,727,146,545,166,778,731,295,671,572,220,752,
453,689,055,439,314,981,109,554,594,824,393,024,457,863,193,677,799,583,454,
509,471,416,129,141,726,145,063,703,103,754,365,174,457,034,195,290,181,018,
421,913,985,715,488,445,209,087,960,420,010,604,913,619,979,128,066,573,718,
730,683,742,384,225,886,075,039,308,798,509,769,771,715,894,943,165,678,360,
563,843,414,641,311,092,141,665,125,256,956,338,933,583,910,002,590,242,147,
534,829,340,543,957,730,773,606,885,288,405,063,625,773,027,467,841,937,121,
550,750,152,901,757,254,440,135,545,277,854,636,458,010,067,998,591,989,350,
132,146,911,853,277,925,129,390,209,708,552,418,488,616,397,968,212,433,124,
526,917,377,974,875,343,537,778,509,887,508,465,510,840,283,925,847,606,042,
998,010,534,139,992,322,755,500,700,443,117,219,563,145,036,576,771,197,472,
330,942,486,765,794,308,881,429,680,394,693,594,037,057,216,021,243,341,858,
006,008,965,205,984,993,911,676,876,627,163,238,395,535,923,085,194,027,127,
490,005,281,248,303,567,391,481,135,145,526,375,730,850,645,692,401,962,671,
175,661,414,267,194,713,686,100,641,819,992,594,929,680,616,366,456,148,654,
237,223,427,518,442,692,076,816,912,930,645,881,778,809,274,828,909,591,162,
902,311,431,710,438,002,495,419,960,848,719,273,068,559,716,842,777,717,292,
064,775,153,777,100,420,726,479,311,291,356,991,334,966,883,760,805,453,102,
232,169,576,245,840,878,225,579,726,274,765,498,930,161,095,203,967,458,017,
729,154,014,391,910,875,991,453,047,308,134,907,647,063,509,093,905,014,101,
572,701,443,859,714,379,833,834,602,232,457,933,906,937,429,352,542,593,368,
469,004,441,897,006,842,661,806,419,155,645,236,061,402,495,984,495,199,828,
211,912,626,204,508,376,007,215,581,834,100,141,088,692,325,242,540,065,865,
405,140,742,681,475,691,042,900,570,201,582,414,598,210,369,071,647,955,724,
892,009,673,876,863,474,869,079,473,860,109,978,556,678,733,509,093,651,177,
520,563,740,878,302,694,105,370,322,611,271,965,798,625,369,402,051,588,979,
263,905,623,924,764,423,477,667,524,686,672,782,339,304,666,152,421,564,267,
836,675,894,015,988,878,995,587,666,330,995,226,626,124,814,525,734,097,548,
327,169,161,664,670,738,371,432,271,520,901,595,309,246,845,830,181,648,977,
571,072,930,726,893,030,701,207,059,457,841,770,382,169,130,122,294,067,582,
332,468,054,772,260,640,242,683,279,317,019,010,790,796,491,876,195,655,323,
642,477,669,172,366,938,673,414,613,730,699,425,531,239,409,213,625,332,820,
153,858,615,875,978,283,175,568,948,732,606,938,778,340,843,855,539,223,554,
903,151,667,290,692,220,880,905,584,610,706,772,091,747,667,358,753,246,712,
447,339,501,589,110,092,731,952,666,400,817,751,680,494,120,718,768,343,637,
712,332,370,946,860,800,369,070,584,698,108,684,027,942,766,499,044,297,642,
009,872,667,130,806,915,799,554,604,147,764,662,271,235,730,980,502,212,034,
468,587,224,356,774,980,955,021,678,528,237,597,139,958,189,299,221,332,119,
568,018,444,105,872,206,564,874,606,052,501,930,247,023,904,542,071,617,643,
158,136,137,738,111,370,132,388,696,367,368,041,695,891,493,450,357,648,262,
006,479,358,869,580,206,812,247,203,492,441,397,924,635,411,805,705,026,625,
302,322,664,894,905,836,010,265,997,200,372,575,544,941,890,521,491,420,144,
652,121,244,344,261,343,323,943,741,890,489,572,443,564,067,655,979,640,519,
540,378,619,565,709,177,483,046,920,211,483,339,924,145,645,451,152,103,731,
972,582,949,951,990,649,383,460,885,155,408,581,721,124,127,025,774,797,249,
292,346,377,169,234,498,706,419,046,465,279,459,045,742,146,601,789,758,045,
341,011,385,855,999,496,397,431,068,720,853,828,832,989,097,396,512,549,357,
039,090,778,159,627,302,707,298,760,975,522,069,114,650,581,437,230,466,224,
455,755,441,700,850,684,949,250,150,606,844,478,979,238,053,292,853,162,134,
466,607,900,298,551,005,270,991,245,008,690,813,203,987,355,986,994,935,779,
041,056,719,558,111,408,940,002,369,828,035,338,179,170,568,745,093,625,378,
773,983,136,771,388,995,649,005,933,882,966,178,630,959,969,116,507,770,467,
968,929,871,522,939,343,741,464,762,787,846,328,465,311,898,884,679,282,936,
635,977,745,209,296,677,453,970,976,178,006,913,324,842,466,131,036,576,408,
952,180,534,292,094,140,023,987,045,956,139,821,947,313,929,327,192,849,956,
849,341,052,109,635,082,935,511,164,629,593,296,563,908,934,149,521,044,720,
096,894,711,118,134,625,428,377,582,132,260,542,184,181,249,259,739,903,571,
751,048,226,692,865,169,988,879,993,593,839,670,515,255,401,396,506,942,286,
604,915,194,372,104,940,042,514,510,081,560,784,483,689,361,930,573,626,806,
156,885,130,872,299,599,820,113,468,284,585,357,214,576,807,881,713,857,780,
277,044,535,813,953,112,485,495,998,813,576,327,853,560,680,648,811,173,192,
074,375,480,459,485,577,113,838,110,401,904,346,615,990,324,776,899,638,727,
907,209,970,657,167,879,462,045,671,035,487,465,806,592,859,980,473,281,198,
775,463,748,542,488,348,657,910,442,751,416,344,340,464,165,209,752,040,774,
659,198,582,974,631,826,248,919,375,977,353,516,789,874,688,666,771,931,559,
846,192,598,445,322,442,602,141,907,810,286,917,741,489,639,908,970,650,016,
178,475,185,408,066,317,238,161,527,318,609,864,760,385,701,752,889,863,722,
516,040,868,283,604,179,695,497,197,053,071,288,173,944,384,131,753,986,299,
186,842,631,652,007,442,641,232,359,163,061,828,310,226,568,893,911,699,660,
259,400,259,400,202,896,926,560,768,213,801,139,826,237,239,372,412,765,148,
860,941,558,991,829,042,988,977,479,871,315,486,954,700,037,557,063,708,566,
440,022,608,242,784,980,042,239,388,782,684,883,487,307,307,912,742,161,603,
987,763,652,192,917,777,088,633,829,172,086,514,086,196,868,882,352,442,238,
024,134,972,953,606,959,089,055,326,540,732,157,285,916,796,459,550,249,217,
488,752,834,581,179,982,631,614,719,438,242,892,307,208,423,060,883,028,799,
841,957,064,042,787,161,063,972,243,642,320,598,535,974,207,021,730,420,318,
410,391,200,229,234,940,499,317,305,398,515,696,347,570,038,141,663,924,087,
549,396,762,951,747,930,821,767,412,497,297,870,344,002,884,596,139,449,068,
728,785,373,566,728,214,269,999,452,783,222,495,455,427,189,644,290,232,070,
898,196,117,359,312,400,146,677,286,879,448,636,339,347,421,489,763,359,852,
412,469,955,435,943,573,147,408,985,073,228,346,255,467,453,910,030,803,883,
031,009,748,638,308,393,589,309,227,326,721,446,876,713,528,400,043,799,120,
936,938,623,812,794,148,399,181,738,765,599,610,701,528,081,158,293,217,604,
000,220,569,372,185,337,981,275,525,975,947,052,169,938,044,701,899,458,565,
800,268,048,486,654,891,974,910,686,545,500,254,436,801,969,927,720,876,659,
513,600,155,662,631,026,944,006,655,848,053,030,262,723,224,892,816,588,699,
836,634,365,469,466,181,121,697,861,841,791,332,318,312,452,213,478,620,313,
426,927,692,368,969,201,073,202,562,423,869,162,629,356,745,559,629,611,269,
077,888,952,397,589,552,425,202,380,575,603,116,669,739,178,006,555,158,618,
422,396,314,024,443,374,603,059,744,592,993,949,413,308,948,317,533,439,506,
660,507,634,871,016,479,024,432,849,014,863,460,762,016,128,126,045,621,803,
413,648,118,553,020,946,715,679,052,534,283,743,292,643,426,922,410,866,906,
323,803,227,557,503,079,405,013,731,575,629,521,600,862,063,026,166,899,868,
998,698,503,517,550,062,806,910,519,630,962,309,410,516,277,119,439,441,658,
361,523,861,253,618,319,400,328,974,676,016,862,332,728,220,988,112,994,591,
923,885,489,379,299,329,502,225,904,714,024,221,144,189,992,626,532,812,020,
658,518,085,212,519,037,029,533,138,480,353,951,985,814,216,900,403,851,641,
476,343,423,497,513,457,237,026,586,863,877,290,080,866,740,617,193,998,926,
078,767,062,962,733,624,244,564,918,696,686,629,827,243,017,194,072,533,491,
893,892,300,964,903,892,951,638,726,883,637,958,147,312,323,916,814,347,510,
684,333,036,344,481,906,131,448,252,158,983,821,146,519,523,540,320,079,458,
569,959,726,435,646,159,430,674,610,112,022,096,149,902,287,734,375,578,534,
152,038,205,120,434,265,909,182,267,348,727,782,862,314,334,600,193,439,781,
160,369,606,410,133,061,473,904,797,830,318,529,679,928,446,437,306,232,616,
408,912,698,752,558,794,518,158,025,617,421,651,033,220,880,726,144,963,648,
270,137,419,174,431,456,174,646,813,317,625,657,154,546,505,865,045,759,053,
403,497,107,533,350,093,761,384,888,443,921,210,909,118,206,205,570,982,349,
675,402,910,802,063,535,866,788,929,914,434,740,702,040,951,813,750,094,408,
718,721,451,178,048,499,958,750,874,187,010,169,279,031,688,499,573,740,662,
279,405,167,672,282,343,063,122,362,446,889,837,376,029,696,214,680,720,380,
910,835,133,321,925,972,664,795,143,494,569,452,923,973,388,519,407,054,804,
429,374,778,812,116,673,584,420,540,041,426,561,567,648,751,992,984,814,064,
250,302,455,048,172,583,652,224,983,041,724,732,507,483,810,655,768,626,413,
697,194,497,170,343,419,146,635,380,252,652,107,569,288,236,556,508,732,347,
067,861,212,953,949,075,277,956,379,628,927,860,895,036,414,435,586,972,935,
541,204,932,122,895,046,579,877,863,748,460,664,008,307,399,518,701,047,982,
817,088,533,483,662,501,094,849,431,518,772,522,083,136,290,833,723,399,661,
508,390,424,927,632,410,628,044,222,948,925,240,590,862,806,052,770,489,892,
542,743,656,104,502,126,412,354,183,600,685,659,740,515,631,088,571,836,958,
445,050,310,806,014,713,185,846,814,533,003,434,503,512,213,079,353,700,765,
323,378,826,227,092,273,503,638,088,894,865,567,755,430,581,101,205,478,617,
191,451,774,794,362,794,538,899,447,777,819,030,466,133,579,257,925,683,840,
513,669,806,403,880,968,314,208,717,748,755,218,333,108,452,112,016,300,619,
935,195,907,455,261,577,221,902,916,146,880,924,785,684,484,079,918,836,051,
125,343,518,377,360,000,671,801,559,483,011,815,927,569,010,584,897,373,112,
949,615,970,632,509,808,476,395,323,794,328,939,194,230,817,554,186,680,272,
355,774,387,298,749,791,678,743,768,055,778,057,780,116,974,790,340,930,902,
829,544,735,629,342,347,202,284,939,782,861,030,216,431,164,227,162,891,081,
477,218,723,161,030,418,748,657,528,071,296,619,937,442,882,618,932,332,701,
616,493,588,587,223,032,660,346,741,626,712,960,019,832,378,949,497,927,567,
566,860,747,487,347,270,707,555,221,646,404,640,976,779,522,605,425,311,147,
308,917,379,307,486,973,656,597,205,798,803,190,452,621,269,849,761,070,506,
988,426,759,699,530,956,256,906,909,857,631,545,748,257,503,939,881,092,132,
277,070,135,951,068,093,483,813,077,304,051,410,787,670,128,725,499,924,357,
974,324,280,718,450,212,020,187,399,943,845,660,813,411,390,156,739,033,446,
739,931,099,805,027,412,060,359,221,471,314,723,965,788,611,104,362,085,127,
193,543,770,949,986,142,625,014,672,252,328,351,539,575,522,298,340,680,159,
107,505,562,787,938,295,648,949,632,695,185,553,373,670,398,216,286,467,898,
888,759,733,598,144,487,522,493,521,185,210,548,320,711,595,184,074,163,324,
360,015,165,620,716,861,755,852,219,640,182,939,745,204,129,790,007,304,434,
044,162,739,155,475,923,795,438,382,847,326,288,864,806,396,642,216,370,446,
772,095,783,309,865,901,250,060,264,502,082,536,726,761,109,654,614,817,813,
603,867,645,834,517,461,066,124,289,822,708,499,993,532,218,295,507,552,354,
534,072,209,886,490,461,069,986,238,538,461,405,025,576,115,594,715,712,197,
906,485,007,738,984,842,013,974,834,964,666,281,582,232,326,697,874,747,642,
217,997,979,220,189,039,635,791,965,629,955,375,451,221,084,998,538,613,885,
548,334,430,650,663,405,333,780,649,629,265,507,157,863,064,054,288,976,818,
746,896,573,894,746,275,040,920,651,999,275,333,099,283,772,080,920,299,962,
203,151,004,250,739,287,705,737,894,206,918,191,543,880,994,408,705,641,829,
504,117,952,607,267,815,306,093,080,330,132,238,838,136,706,023,997,731,521,
705,261,118,143,771,831,833,148,190,977,143,074,472,818,678,837,676,863,165,
315,017,528,989,518,215,031,262,620,840,602,302,058,626,091,556,350,854,818,
990,375,797,847,220,310,044,348,511,145,641,573,301,781,601,335,848,208,516,
644,002,740,884,477,015,976,076,817,141,539,576,255,006,031,243,750,121,838,
042,567,138,800,526,343,354,502,074,018,246,669,490,097,331,761,074,741,095,
491,074,213,867,080,244,952,768,146,554,078,177,161,658,325,866,232,395,722,
724,830,811,049,670,674,338,362,999,840,743,276,318,449,581,534,466,232,023,
426,892,449,386,208,927,682,381,128,992,624,401,873,150,666,210,461,196,682,
139,887,081,889,227,880,912,967,369,618,097,755,764,529,871,257,155,321,610,
869,560,459,032,930,716,591,603,917,100,082,290,715,179,150,679,427,599,066,
552,326,916,391,258,877,829,217,511,406,492,109,746,124,868,463,284,531,675,
799,309,002,697,326,612,504,121,170,073,282,972,268,859,300,338,172,342,826,
284,986,695,122,633,184,477,593,913,053,533,017,436,712,427,927,396,815,967,
053,763,530,885,033,720,922,571,966,635,161,767,915,700,629,673,708,809,208,
059,255,978,717,446,688,737,098,991,800,689,337,160,580,885,327,934,311,491,
773,436,838,036,177,642,987,480,501,106,184,307,643,996,241,377,319,495,587,
867,498,394,799,760,013,174,165,808,206,383,547,500,706,212,427,961,992,309,
093,996,934,608,434,108,828,152,219,845,484,933,726,582,207,028,739,835,277,
839,367,270,861,598,384,525,677,015,811,220,768,278,840,422,322,025,645,095,
232,406,308,131,454,984,058,498,844,751,514,217,732,951,714,312,989,174,125,
544,507,745,928,409,390,337,019,933,977,830,932,430,779,921,139,424,559,678,
411,597,019,162,880,908,587,321,757,376,035,015,924,487,604,205,096,806,620,
587,663,087,778,188,120,089,477,371,138,103,974,482,983,083,614,990,823,913,
798,200,763,586,502,577,600,328,152,622,161,503,172,118,796,140,084,595,070,
570,835,670,533,120,739,141,511,893,709,736,010,818,560,314,443,153,697,548,
547,100,294,250,573,378,210,354,387,656,195,678,752,497,252,458,567,455,461,
054,083,439,626,008,310,026,514,417,513,708,387,799,758,670,368,784,712,643,
994,075,943,891,502,639,247,439,647,143,989,274,546,793,880,744,720,361,392,
633,857,310,081,636,793,226,770,154,770,007,553,148,726,764,944,335,777,236,
668,289,756,533,538,937,729,738,057,711,722,195,469,619,108,557,393,956,957,
934,752,476,181,517,150,072,385,961,684,585,564,097,174,631,016,545,194,211,
938,464,191,643,873,468,219,128,909,313,538,298,593,810,708,699,525,067,500,
872,792,535,052,477,591,502,036,253,517,574,042,192,200,094,217,411,058,206,
441,607,506,095,454,776,440,368,731,331,653,626,613,593,121,839,728,102,109,
952,046,739,738,874,539,458,699,196,171,343,842,416,738,419,851,308,242,937,
613,911,086,199,059,269,427,626,536,270,479,357,184,738,779,677,902,182,373,
420,595,666,827,488,098,444,047,692,716,417,001,865,746,018,209,574,432,043,
563,128,732,161,768,684,437,643,205,313,050,320,046,458,117,567,348,504,828,
993,451,016,550,300,056,496,671,038,004,545,717,389,880,745,053,042,280,443,
880,156,359,397,276,389,301,329,906,137,455,876,357,350,573,995,808,142,393,
327,357,297,165,069,152,309,205,615,669,901,961,843,911,187,390,518,390,777,
211,663,721,235,082,875,326,188,050,949,520,896,192,520,645,751,277,025,614,
956,059,206,501,592,273,669,891,076,645,982,456,309,655,945,742,793,005,673,
103,925,141,379,901,449,496,393,199,854,018,473,666,893,786,168,762,219,584,
078,700,639,071,072,397,700,744,087,334,544,210,938,987,722,803,512,603,926,
000,589,601,067,836,585,769,621,081,864,397,054,833,186,676,194,845,270,444,
810,487,870,550,125,363,953,631,711,222,881,942,622,160,349,444,423,008,762,
605,110,525,370,650,596,491,317,190,366,547,963,577,150,644,262,792,567,106,
785,699,891,943,686,524,148,999,180,028,333,444,906,712,767,416,898,694,109,
440,047,118,316,527,581,289,091,635,791,853,273,952,199,541,945,681,953,279,
715,963,664,831,148,967,007,613,257,490,155,603,662,246,086,103,516,712,424,
411,686,629,090,935,242,909,151,887,366,065,022,841,019,298,122,369,635,265,
584,448,750,125,609,924,307,839,273,472,920,206,934,632,600,349,948,392,840,
367,026,209,842,341,294,915,162,338,718,400,113,807,744,442,700,472,450,034,
601,395,154,459,228,927,141,565,728,194,159,489,321,549,432,888,441,070,355,
142,044,418,042,584,161,625,113,446,442,213,361,033,519,376,838,640,643,903,
299,323,055,560,977,058,495,684,749,112,682,834,866,506,633,601,356,643,003,
349,559,373,126,316,643,188,682,141,921,736,944,450,545,461,318,391,147,622,
240,194,866,169,682,777,151,609,559,341,566,014,028,011,755,860,669,914,499,
522,923,570,578,053,487,824,513,009,406,980,067,509,005,172,839,404,472,556,
244,589,537,077,346,720,421,253,975,427,862,918,627,697,407,072,274,811,481,
435,859,204,109,884,407,199,965,779,548,735,215,826,048,607,835,544,857,220,
500,686,378,330,906,792,486,021,898,154,899,201,337,294,212,867,169,462,445,
910,935,588,848,738,092,185,053,707,268,583,594,207,158,281,827,804,810,538,
392,053,941,827,583,609,515,402,242,940,813,749,736,448,963,553,944,332,447,
865,293,997,917,726,093,679,193,712,209,751,884,370,374,241,855,796,222,026,
377,297,302,348,457,909,624,904,040,421,326,032,839,518,538,104,136,259,941,
436,519,182,382,574,747,195,812,931,786,910,368,526,890,873,214,024,360,713,
990,934,415,617,211,158,369,444,325,421,309,449,966,036,037,338,445,283,764,
911,589,551,183,894,138,811,379,800,682,551,102,963,929,940,413,085,382,134,
244,842,651,922,856,958,266,448,763,516,906,123,687,699,679,387,158,517,433,
505,704,149,353,888,975,990,283,073,451,859,693,033,442,445,709,194,233,665,
489,738,268,070,303,804,178,954,797,606,381,977,267,054,803,493,980,893,976,
677,477,732,197,768,632,104,091,606,034,311,908,452,981,823,786,994,479,673,
433,165,887,478,881,861,688,611,466,461,970,716,233,450,260,848,013,391,043,
930,910,655,714,018,124,470,240,234,825,791,721,971,198,576,004,866,972,188,
690,707,249,983,074,123,701,680,009,113,389,277,164,208,719,717,746,417,679,
520,474,444,528,958,221,743,732,166,823,747,900,449,703,215,590,331,668,545,
166,094,425,005,569,526,411,342,598,307,981,307,297,672,456,430,334,659,876,
515,416,126,273,494,133,791,267,705,172,102,617,555,329,165,430,465,065,485,
497,743,705,663,514,691,013,898,754,443,671,507,190,895,329,862,201,850,355,
584,505,119,300,027,457,196,841,175,361,725,059,184,193,587,699,554,653,761,
558,671,409,461,263,852,446,990,295,954,029,224,033,335,417,519,626,552,193,
119,668,828,622,169,744,085,195,542,553,053,474,497,042,096,355,091,646,357,
899,594,827,006,103,291,952,314,398,355,650,510,953,387,922,670,935,440,355,
021,786,976,469,569,679,902,753,736,379,250,508,468,750,162,911,491,682,383,
642,750,070,079,804,560,949,201,981,745,660,048,048,866,025,097,133,477,108,
680,219,035,120,081,003,193,799,310,740,950,249,063,165,603,028,533,677,422,
125,813,033,613,298,381,228,723,989,160,366,252,057,186,234,743,712,461,965,
926,990,154,259,076,802,244,949,779,143,985,302,978,389,255,318,283,609,256,
509,726,590,184,570,993,914,777,805,191,044,683,229,593,103,043,753,960,667,
067,118,897,954,868,866,090,962,007,508,760,486,490,090,440,369,404,628,716,
988,237,776,209,747,254,127,327,582,075,375,967,732,969,094,437,937,006,657,
531,088,385,200,782,787,644,218,012,174,895,454,936,223,831,738,743,499,776,
891,868,780,881,318,619,229,389,346,370,995,254,221,287,831,108,838,935,789,
091,635,114,500,723,449,903,619,923,856,305,047,831,816,389,741,022,785,771,
909,586,213,078,420,133,807,957,862,902,535,368,688,906,874,301,894,177,986,
033,219,510,404,313,306,397,213,818,136,358,886,866,089,798,985,896,663,736,
315,158,013,571,647,733,031,562,734,836,671,876,913,045,971,924,524,266,133,
305,327,943,733,515,621,107,336,327,358,704,070,929,313,046,499,361,279,343,
399,629,870,744,670,828,566,384,671,925,275,516,698,583,076,328,198,814,018,
720,662,671,256,340,188,852,582,332,608,474,044,727,885,729,086,770,053,374,
230,164,348,196,187,066,847,666,281,763,174,499,176,770,729,521,741,103,618,
137,226,568,008,147,667,826,066,203,585,778,226,056,561,453,880,825,013,655,
266,834,935,736,846,995,700,461,495,337,787,549,884,649,184,055,623,766,966,
227,504,361,767,188,280,158,916,079,644,871,129,460,341,782,466,964,776,164,
394,963,696,024,361,470,815,970,244,225,669,983,072,908,352,563,321,668,837,
423,899,419,187,777,065,685,478,737,460,431,307,455,094,485,088,075,858,788,
458,735,721,101,186,590,538,325,739,888,846,958,328,594,802,810,367,949,145,
043,483,474,654,599,873,182,387,915,530,806,385,120,727,184,924,408,173,454,
931,729,331,570,871,128,551,005,516,351,507,768,615,353,372,058,132,790,857,
326,363,451,816,186,438,049,522,043,955,669,252,854,950,123,862,248,020,276,
730,827,384,809,667,620,747,848,015,035,790,140,649,235,805,715,856,914,857,
673,268,293,295,990,124,445,432,670,777,375,408,232,575,703,921,896,111,896,
094,176,198,869,384,288,107,028,219,384,363,414,819,844,695,979,617,155,247,
932,205,991,096,433,438,175,842,323,952,488,076,650,917,923,486,985,019,215,
879,805,673,841,056,730,338,380,946,125,638,212,744,376,774,058,394,462,020,
024,121,073,183,904,560,462,577,330,210,493,455,436,641,944,938,743,486,918,
436,589,200,996,849,165,682,429,646,013,832,047,843,564,842,513,482,380,640,
486,773,966,777,225,107,458,170,853,948,831,711,268,710,436,359,558,496,106,
681,302,724,668,287,199,580,532,263,435,016,042,515,584,914,346,775,766,588,
826,711,821,604,951,360,414,722,615,867,284,309,555,210,146,075,302,283,272,
872,960,672,819,822,860,502,575,859,612,443,974,846,302,832,662,495,966,668,
792,735,809,172,248,253,032,076,306,916,059,912,479,403,329,391,503,544,284,
077,683,413,044,253,515,911,494,292,297,462,970,923,668,033,366,222,333,704,
897,443,610,348,095,585,613,611,186,186,277,393,797,072,807,800,859,337,503,
305,706,389,404,438,509,364,627,627,606,137,525,150,911,936,250,765,086,117,
939,544,332,938,378,031,334,052,773,374,632,835,420,969,236,288,045,692,267,
863,166,818,369,794,284,583,513,186,501,530,098,334,292,373,355,176,456,896,
074,841,380,598,650,795,641,317,859,043,399,099,644,476,659,623,941,358,032,
822,616,536,709,544,780,652,347,351,261,661,008,925,368,685,042,811,121,735,
473,102,922,036,102,170,540,004,974,895,167,482,681,453,859,017,553,961,613,
073,608,642,688,831,718,310,519,754,022,237,130,610,706,281,340,981,038,972,
490,406,882,940,671,809,582,627,548,522,365,692,394,565,372,568,880,453,775,
837,912,061,577,229,031,089,167,067,286,915,745,709,275,621,281,561,107,954,
234,551,316,613,376,929,069,678,014,137,009,276,130,787,335,963,882,979,300,
411,541,570,231,883,058,914,513,368,074,751,460,701,909,110,342,561,203,878,
282,639,415,170,720,073,934,561,658,492,967,353,670,840,916,479,970,854,420,
589,539,030,299,221,771,363,322,160,344,321,937,164,418,919,226,884,885,561,
407,738,646,983,158,827,378,091,770,719,822,425,242,219,174,137,020,202,751,
157,297,862,002,187,240,512,280,890,361,087,457,145,130,436,762,433,843,394,
870,008,284,163,161,937,235,697,511,915,300,169,990,833,822,262,933,655,983,
966,876,151,455,235,636,535,745,380,231,155,202,347,472,395,484,190,259,525,
580,336,070,703,188,165,672,176,691,930,444,660,101,314,616,315,249,132,323,
315,129,229,588,345,162,896,685,491,991,847,897,004,155,891,019,208,352,475,
247,116,781,464,641,115,380,145,790,933,400,092,205,198,888,640,408,433,543,
046,721,158,491,470,064,702,690,938,013,486,505,020,380,246,723,996,938,800,
108,061,582,893,296,319,229,471,958,127,261,662,801,661,374,149,907,606,952,
687,585,286,019,738,716,567,701,231,350,374,355,885,341,926,380,786,832,469,
375,073,963,269,487,452,705,841,788,877,358,221,756,706,099,729,269,600,625,
158,984,008,441,054,422,891,084,709,018,998,206,102,312,721,605,749,435,163,
192,636,456,610,512,369,185,070,317,568,902,908,551,930,931,047,444,659,967,
998,547,280,058,941,446,679,426,999,018,384,826,205,548,610,179,681,041,475,
049,105,131,530,084,335,380,910,836,767,722,515,437,608,841,677,553,243,809,
006,278,766,072,909,981,662,785,816,377,419,962,789,633,622,751,098,442,182,
041,931,635,127,068,345,188,399,386,374,505,933,771,882,222,044,750,840,106,
447,406,736,058,972,727,520,025,655,054,236,230,393,156,848,480,460,247,816,
005,122,963,162,158,985,659,267,614,523,789,316,199,374,461,071,159,394,854,
173,908,279,674,483,557,139,785,084,285,178,725,815,868,042,006,663,390,313,
594,471,326,930,768,679,175,795,602,007,537,009,962,018,945,654,342,386,025,
336,038,221,538,491,600,600,072,995,948,626,555,848,879,652,826,687,360,368,
279,031,380,945,626,451,049,012,235,217,587,123,067,892,847,684,427,308,303,
082,829,922,629,533,605,958,546,175,992,810,373,937,211,119,508,104,370,317,
117,278,595,139,937,098,559,485,790,655,380,052,498,704,640,584,154,580,877,
434,155,351,748,428,595,346,797,991,218,518,224,946,390,567,731,721,721,650,
925,712,306,129,596,636,611,467,225,116,207,180,137,782,868,038,328,965,965,
241,867,014,029,920,558,698,254,685,251,697,063,248,009,180,909,596,876,766,
110,944,679,482,457,665,919,920,813,802,314,440,596,448,062,389,302,879,306,
045,007,427,212,089,161,563,180,080,829,443,225,339,894,374,137,005,965,125,
228,187,961,253,376,743,499,961,760,480,104,935,472,950,634,080,203,912,251,
437,063,433,315,178,916,607,218,912,870,974,254,418,309,348,116,071,769,487,
791,293,721,291,297,514,899,085,999,619,832,683,788,373,433,464,791,526,009,
211,712,021,320,810,599,603,167,403,708,473,782,811,392,967,697,762,645,651,
818,017,924,083,683,805,904,748,240,688,006,168,412,826,665,140,894,281,716,
160,894,211,375,714,336,216,985,024,300,879,222,388,272,993,635,950,460,786,
124,446,100,057,492,047,979,329,905,073,049,732,394,005,748,331,941,661,575,
423,740,680,310,241,047,353,681,668,538,226,824,266,950,626,078,685,272,712,
173,108,281,114,102,478,864,196,491,778,772,855,741,706,760,773,510,029,312,
146,525,399,323,934,408,206,128,225,567,408,944,857,472,362,403,594,387,769,
347,493,744,329,055,865,952,375,855,743,593,640,769,807,356,782,763,236,658,
890,753,475,385,817,903,751,179,326,078,758,515,448,541,043,836,908,543,643,
690,008,109,892,660,229,682,745,173,569,219,018,495,241,876,343,565,167,389,
823,377,500,617,961,387,659,270,803,320,107,307,243,432,128,742,287,847,815,
473,271,801,863,111,787,472,713,997,625,362,789,412,591,035,681,970,692,581,
113,203,086,486,490,368,288,569,148,035,016,082,222,068,961,211,046,071,335,
605,029,748,654,989,358,585,693,741,844,073,934,772,313,397,211,501,013,115,
157,563,248,772,048,083,692,853,053,189,442,056,164,132,145,043,907,555,582,
351,937,249,684,155,545,356,625,753,288,530,890,009,268,432,492,241,632,754,
620,211,795,303,313,110,750,076,603,948,111,945,563,005,202,852,608,688,452,
789,579,258,259,465,723,162,083,844,978,735,283,536,045,993,580,335,074,026,
145,173,639,247,328,725,077,863,758,197,911,492,984,891,880,051,641,254,710,
881,159,272,066,874,848,941,482,355,862,234,621,957,332,683,592,949,493,278,
061,385,955,823,155,503,852,622,785,316,072,520,879,829,348,666,293,003,623,
179,948,750,387,730,039,061,790,540,205,133,622,581,403,833,865,552,418,272,
504,369,476,322,606,674,280,954,075,963,449,563,056,483,741,527,433,027,068,
564,596,166,369,414,492,375,845,845,623,910,025,153,841,686,952,513,418,696,
255,223,211,213,665,817,970,810,183,167,995,171,827,602,003,877,293,837,864,
400,659,179,609,517,792,738,054,511,141,273,669,244,500,396,678,925,132,375,
776,036,704,793,434,654,663,154,702,307,318,252,721,963,239,905,756,820,935,
100,051,388,689,505,622,333,659,057,784,616,482,817,492,386,323,994,896,121,
627,563,199,856,827,513,705,334,768,394,837,315,099,401,784,572,564,639,186,
124,893,945,860,948,061,698,254,632,938,170,172,480,859,627,981,872,598,244,
700,222,857,283,855,287,206,870,650,724,308,757,886,057,488,704,826,394,150,
103,435,063,053,257,328,942,213,863,907,646,186,395,773,265,543,770,739,671,
961,072,581,945,917,725,052,035,834,425,299,580,587,156,466,642,743,686,525,
274,228,522,667,693,173,973,807,360,564,000,911,033,176,458,372,751,595,736,
705,587,627,155,574,894,853,341,756,920,189,648,834,741,075,615,141,859,564,
564,412,611,806,770,633,057,373,312,759,845,721,647,454,554,344,177,809,506,
669,671,619,204,847,991,518,357,268,513,584,440,136,898,127,749,449,752,764,
929,755,776,696,025,576,183,980,893,004,015,790,369,436,736,058,548,549,227,
616,576,491,766,660,925,234,031,570,409,203,508,395,192,364,114,458,632,082,
305,208,935,623,144,824,294,072,658,548,909,527,123,690,431,420,012,501,013,
828,572,343,057,233,388,159,931,168,562,423,212,065,586,630,234,448,091,116,
832,405,446,962,148,305,099,583,256,006,452,168,545,376,315,001,554,405,562,
118,361,114,893,301,991,836,696,408,564,153,535,288,698,171,427,963,104,582,
085,964,510,495,799,259,527,278,664,344,209,905,087,239,066,456,865,855,191,
688,485,294,322,439,479,576,172,959,356,484,405,089,503,393,005,195,385,894,
531,001,636,963,477,034,889,715,347,553,896,219,958,742,331,664,285,396,398,
318,188,405,210,270,679,382,836,471,023,757,812,837,067,382,428,392,695,747,
230,895,232,821,860,068,346,252,180,937,857,907,159,477,546,678,820,127,857,
577,065,821,658,076,941,723,908,156,575,226,244,865,085,886,258,657,810,341,
120,240,431,330,128,720,138,875,504,943,939,044,409,093,162,022,835,224,127,
671,473,283,128,089,224,345,091,503,653,480,224,487,755,436,431,706,639,378,
412,971,698,820,068,014,770,796,239,403,591,637,266,483,102,472,173,378,040,
886,593,992,938,246,167,504,546,187,019,929,839,272,104,090,332,883,258,019,
011,153,733,876,379,014,825,882,679,394,062,522,743,398,554,722,196,084,679,
989,126,812,267,105,209,548,721,871,354,548,473,095,319,707,844,010,163,499,
272,786,933,113,335,366,142,979,453,951,176,898,688,235,903,857,752,511,242,
945,837,546,946,425,956,433,200,009,551,408,679,841,547,232,731,355,392,593,
243,898,363,493,764,123,427,311,819,353,630,772,994,989,232,440,689,109,195,
513,240,422,652,405,388,446,238,928,141,608,432,758,093,920,961,886,719,211,
366,786,771,764,255,511,857,150,827,447,759,588,624,659,254,119,015,320,104,
218,164,598,460,329,671,792,715,614,033,112,798,611,961,332,101,810,893,314,
199,365,044,543,167,846,727,262,076,737,265,676,420,778,442,472,093,100,042,
619,936,479,162,008,176,209,716,654,614,700,409,633,983,551,646,530,713,104,
669,924,061,879,233,189,766,114,275,373,398,782,664,470,078,350,698,940,953,
645,538,145,901,447,405,304,595,362,502,671,747,798,771,806,817,799,218,455,
904,944,669,048,763,118,278,887,104,497,767,651,757,339,136,105,750,779,039,
089,073,270,846,808,107,450,969,886,824,758,429,410,264,918,956,879,840,026,
013,809,951,761,010,747,549,493,985,512,677,300,375,833,169,749,498,067,964,
165,268,638,489,932,036,139,442,743,517,782,927,659,588,913,237,877,571,808,
756,788,675,043,949,419,298,995,607,870,174,366,113,751,592,858,750,031,306,
633,825,127,066,856,455,556,471,862,700,047,064,530,398,703,925,361,968,107,
633,940,081,525,543,427,890,763,670,744,653,071,479,283,986,280,023,002,754,
542,747,103,636,968,629,098,188,308,505,656,437,225,377,130,646,500,084,350,
179,243,274,183,672,513,416,942,329,637,569,976,443,787,138,575,008,227,812,
924,655,728,470,142,857,472,400,698,728,593,002,954,764,324,927,186,465,475,
081,432,798,238,099,121,329,066,977,134,274,304,042,907,081,662,383,050,227,
450,505,882,620,558,364,378,126,770,486,468,318,500,858,749,947,866,289,483,
448,327,343,275,252,567,304,947,850,329,326,051,038,688,083,729,249,644,435,
572,948,656,069,224,606,262,805,652,926,588,705,531,590,498,280,174,450,009,
102,691,878,360,173,955,068,053,910,191,014,910,352,503,233,192,557,789,067,
571,805,713,455,095,069,391,337,976,039,685,732,678,511,361,662,421,491,745,
554,143,790,912,699,747,233,119,853,894,977,231,522,396,263,131,358,320,707,
640,160,160,665,475,564,125,409,414,865,353,601,461,091,970,687,831,728,871,
219,498,545,175,511,925,108,865,136,823,046,783,334,889,167,107,731,537,964,
991,604,688,430,398,204,279,054,227,447,111,932,559,629,817,195,236,192,497,
604,194,314,830,726,837,028,618,436,919,079,311,955,237,918,640,392,357,891,
600,558,843,271,791,409,306,210,601,590,218,548,358,849,975,704,555,764,199,
334,320,972,969,969,265,568,627,445,232,563,996,466,196,855,183,373,336,370,
611,898,625,815,860,756,144,691,804,713,473,398,134,536,257,368,555,515,201,
610,583,107,794,351,935,376,296,319,266,412,329,207,042,066,364,740,704,086,
456,958,349,201,091,531,468,666,609,523,705,398,854,384,711,426,847,511,256,
663,209,445,093,811,858,427,605,462,102,120,704,407,553,775,304,040,945,770,
338,927,951,931,137,390,904,322,935,663,943,768,832,949,654,004,694,071,900,
599,396,752,190,213,546,857,524,598,674,910,640,312,203,753,586,583,687,126,
662,737,012,253,831,696,736,656,297,963,194,447,665,577,706,425,133,552,319,
638,912,783,276,434,314,811,492,081,832,447,142,329,523,546,324,841,923,308,
025,233,575,376,899,621,413,155,702,256,418,870,419,596,110,996,645,821,965,
265,880,724,532,941,645,219,362,471,324,079,017,848,070,167,603,221,223,524,
642,792,449,986,931,831,577,177,254,349,128,575,032,542,222,839,391,676,702,
055,666,641,274,973,658,355,411,792,882,839,494,992,581,162,809,061,994,882,
957,291,406,412,774,883,903,247,447,823,650,800,246,180,231,481,342,487,456,
476,006,930,829,102,751,420,613,610,432,595,768,457,872,447,674,463,237,728,
939,260,697,106,360,694,568,062,609,835,630,746,681,378,666,982,277,897,694,
228,057,660,262,121,092,368,617,143,321,423,169,615,112,145,042,292,375,026,
680,436,730,199,671,278,278,344,157,538,428,338,665,432,359,917,989,042,356,
660,238,876,128,420,281,961,539,949,034,144,440,686,250,329,097,702,694,394,
095,810,117,615,147,339,822,114,129,054,138,988,651,684,683,235,412,334,190,
735,348,522,363,668,536,178,658,641,703,317,941,901,671,414,114,073,796,015,
181,867,565,001,932,219,084,326,864,259,667,064,371,599,794,731,415,537,151,
998,042,470,044,055,186,959,511,626,591,859,085,098,753,673,999,264,804,346,
708,226,934,272,077,363,266,489,337,945,492,934,317,614,352,257,709,426,631,
283,870,047,433,263,174,840,719,579,664,799,504,229,388,924,664,379,576,030,
974,728,711,202,131,221,229,843,694,566,324,960,002,020,496,999,242,692,998,
300,077,994,985,082,557,698,524,173,302,370,798,047,769,539,831,140,653,527,
574,397,190,602,731,820,483,573,376,276,113,028,618,203,311,727,101,040,745,
773,110,271,427,976,397,650,394,891,266,952,530,163,198,864,969,192,536,743,
578,963,408,970,607,449,688,350,090,301,828,674,859,849,168,883,424,468,749,
756,401,586,672,755,278,817,957,774,050,816,020,974,328,300,885,046,198,964,
778,067,267,975,743,384,724,262,158,457,800,239,092,528,616,420,432,011,235,
810,594,586,685,973,742,328,964,172,938,662,105,302,642,529,344,563,072,013,
945,253,494,887,268,785,501,093,801,950,589,110,581,547,840,144,878,174,609,
892,663,661,141,082,546,512,209,270,040,357,701,161,128,456,968,180,706,105,
485,780,540,259,823,236,227,430,943,952,610,185,700,103,226,880,923,747,957,
074,831,692,822,373,320,994,844,580,377,785,185,480,661,822,280,529,395,645,
352,774,142,066,323,374,189,105,936,846,787,540,857,100,435,408,297,143,569,
337,723,850,705,803,649,246,804,235,846,792,897,790,263,078,124,766,014,412,
974,141,669,698,484,311,761,145,299,894,602,477,265,175,819,866,777,000,421,
231,993,334,884,880,888,738,610,865,287,871,451,758,450,849,879,121,204,446,
050,692,161,936,832,234,433,478,625,924,970,013,081,519,951,775,568,533,372,
928,514,358,014,831,755,549,237,129,545,518,749,031,652,491,858,949,125,388,
613,028,993,180,793,766,935,085,158,741,635,073,058,438,146,016,895,585,003,
764,177,691,636,541,356,266,040,219,067,711,460,095,973,946,950,359,130,109,
167,324,653,949,670,636,345,237,727,538,875,074,506,742,640,997,942,496,188,
340,365,101,809,716,210,266,571,636,550,635,647,687,054,387,092,424,887,067,
735,922,075,031,349,578,209,104,556,109,193,339,235,319,033,239,406,057,632,
930,057,475,480,481,080,997,846,642,160,819,189,707,972,379,399,967,111,819,
505,268,258,740,506,009,071,555,404,464,960,234,902,464,003,204,392,405,005,
968,932,585,899,432,761,757,680,580,295,308,583,391,063,968,190,214,023,566,
377,957,405,353,202,257,532,250,023,321,243,567,734,826,693,852,144,305,747,
052,295,507,063,667,840,937,284,113,105,981,956,376,950,578,075,982,140,482,
310,656,036,600,535,088,522,277,333,304,834,514,837,507,540,618,261,197,889,
435,770,010,156,657,867,720,918,541,768,696,866,247,074,903,699,881,210,978,
410,584,614,869,578,888,528,746,287,457,623,479,387,904,183,769,269,799,347,
123,938,643,539,711,501,043,055,939,231,647,943,931,122,513,250,553,005,546,
459,924,759,501,355,560,409,202,802,693,452,820,236,610,025,673,242,455,974,
091,178,518,170,270,577,006,011,533,041,487,417,631,343,917,619,400,229,576,
417,220,225,061,323,109,116,923,905,934,683,211,635,402,021,873,244,638,243,
117,816,940,617,347,625,843,234,155,729,111,726,354,461,541,013,307,497,882,
854,739,997,143,970,022,171,306,180,288,635,950,186,959,638,997,415,978,727,
698,300,362,507,551,782,088,895,198,542,752,945,185,976,663,424,566,522,157,
769,298,707,105,340,764,816,994,322,731,484,854,550,129,242,179,275,765,060,
473,089,605,536,041,723,123,043,713,343,297,999,908,772,011,568,400,921,677,
632,082,449,944,504,046,738,898,652,904,642,982,718,639,390,333,694,229,017,
840,048,306,584,213,671,572,270,053,287,841,764,955,179,278,845,414,362,370,
990,456,677,166,357,029,252,943,475,894,552,510,708,946,606,101,798,551,802,
661,906,098,779,493,242,203,662,960,693,101,659,491,640,297,824,083,699,091,
642,326,063,155,651,783,505,773,610,154,884,050,233,850,994,235,271,266,642,
263,296,535,859,296,387,464,382,202,167,288,702,957,197,008,514,364,227,390,
709,224,285,844,887,919,256,104,836,485,638,582,557,013,042,089,406,886,460,
736,661,926,826,970,994,731,129,802,501,221,319,331,849,130,408,214,103,287,
015,992,080,401,353,771,093,306,598,778,341,889,096,199,207,212,216,541,896,
459,115,441,429,130,863,108,634,013,130,441,678,779,397,293,385,012,467,708,
172,235,412,432,987,029,299,361,828,131,099,843,975,708,577,161,813,060,259,
300,619,307,850,100,499,547,751,767,108,024,926,664,564,316,780,654,865,956,
479,180,026,002,512,118,630,553,876,372,547,765,250,004,277,776,065,708,867,
553,895,296,867,687,641,501,808,650,082,858,482,850,398,333,905,012,042,084,
775,140,175,521,813,888,027,965,669,043,065,417,036,157,746,540,105,979,537,
443,220,346,496,829,225,751,303,403,972,460,298,370,534,417,963,151,121,596,
876,667,577,810,117,760,735,303,958,211,526,331,294,626,710,740,681,532,564,
807,244,940,488,385,494,279,465,380,647,312,259,879,995,653,216,057,190,186,
576,272,602,584,729,993,864,471,279,409,090,004,297,148,396,844,876,796,459,
192,699,985,070,020,444,120,121,444,646,468,359,831,043,924,532,463,646,900,
109,903,704,370,796,475,242,095,080,980,707,343,036,050,218,084,769,868,473,
296,195,866,334,383,515,814,323,899,379,984,009,132,048,025,678,479,951,728,
429,151,260,358,812,512,959,756,455,249,237,443,760,465,089,238,328,361,278,
521,822,352,560,465,908,883,556,791,836,589,975,850,411,656,152,748,583,238,
235,833,332,739,072,299,659,523,416,851,256,531,220,256,195,600,286,334,158,
710,673,632,544,496,626,720,260,282,970,828,910,340,447,989,095,321,021,326,
778,594,436,180,568,251,839,132,756,009,860,181,083,190,263,282,372,215,656,
948,806,157,488,881,065,620,612,506,315,026,987,969,811,537,251,384,735,453,
358,936,714,829,418,001,359,440,413,199,478,987,400,090,882,228,310,880,338,
459,621,826,874,440,430,615,015,058,452,212,751,259,759,074,632,781,888,738,
205,189,814,421,197,192,359,102,937,171,257,870,451,476,838,196,983,175,485,
881,052,120,724,257,329,103,476,099,886,563,326,781,115,709,015,927,886,393,
256,106,794,555,748,263,244,473,478,796,248,211,847,655,146,460,749,751,865,
761,461,716,302,737,624,898,357,608,966,989,012,395,859,133,545,164,495,541,
482,382,772,320,150,685,664,514,142,631,076,436,095,725,243,102,291,097,711,
822,937,864,459,176,796,029,441,026,425,180,001,359,161,430,721,797,017,557,
330,529,210,015,533,402,797,081,581,527,401,483,732,552,897,718,311,747,731,
478,609,802,179,709,059,269,976,285,064,743,978,652,543,946,895,389,463,745,
552,106,004,928,393,261,189,868,545,269,916,781,517,485,924,479,478,967,578,
865,665,424,522,859,650,001,868,849,615,870,823,279,727,310,679,642,075,764,
705,320,960,603,130,691,748,850,874,323,972,955,558,067,707,031,816,822,541,
165,227,372,997,825,043,975,849,889,461,523,774,590,265,441,868,109,243,214,
237,650,263,661,204,918,518,592,234,761,052,977,210,501,408,199,044,788,551,
487,104,066,437,645,771,123,318,528,366,016,873,975,928,590,190,711,010,205,
697,443,857,017,415,677,134,521,381,990,342,853,389,004,761,444,658,043,999,
946,039,227,610,648,169,605,039,919,468,898,172,308,236,745,160,150,674,161,
721,517,344,709,795,987,283,630,105,007,354,323,241,368,576,469,117,483,581,
276,665,727,524,690,116,621,568,638,407,902,722,175,240,806,904,561,691,832,
885,837,167,384,110,061,708,923,256,758,194,409,870,402,622,451,221,339,380,
439,166,284,310,110,952,516,564,562,298,148,163,588,979,677,403,229,864,079,
454,169,413,695,815,438,231,658,991,387,837,494,528,055,350,094,030,051,839,
751,064,559,354,699,234,584,874,472,432,475,804,388,043,082,818,885,155,769,
990,926,439,279,038,027,135,694,719,871,217,655,255,046,293,003,451,890,166,
879,478,743,917,041,075,688,489,353,291,980,118,808,092,045,455,493,930,016,
951,781,731,362,472,196,101,084,653,222,743,028,608,232,695,584,708,670,854,
504,141,675,070,859,609,200,233,567,391,721,927,033,686,841,768,524,772,456,
716,607,508,496,509,193,556,169,416,807,849,441,351,748,729,503,712,368,767,
655,124,299,650,133,470,623,188,373,678,577,851,091,185,498,498,890,423,856,
657,338,400,949,458,131,963,250,311,431,056,997,426,120,000,638,252,075,637,
359,651,861,423,864,571,916,890,533,513,304,694,590,749,436,821,162,387,135,
756,091,081,663,849,093,753,822,628,156,554,289,955,779,350,646,564,813,723,
157,495,343,207,402,648,695,803,402,465,723,400,748,179,956,804,946,893,265,
764,353,370,002,692,421,758,415,137,666,300,518,432,660,843,851,250,285,509,
223,472,929,046,279,069,844,873,302,003,112,695,207,238,267,386,279,285,537,
455,186,736,947,734,042,202,981,951,149,437,939,781,214,901,239,298,953,019,
597,490,443,161,696,585,186,363,200,943,557,823,577,588,783,870,937,180,960,
158,693,967,953,505,521,254,051,352,578,710,553,506,868,992,439,990,859,002,
802,842,543,220,668,570,466,969,298,287,134,096,270,742,817,262,346,000,532,
397,509,195,355,854,867,210,934,835,595,801,943,869,699,998,965,328,198,015,
023,507,145,196,288,394,660,878,169,097,551,066,333,640,939,982,045,047,413,
466,800,365,606,912,626,020,989,650,733,853,870,363,133,082,171,728,418,698,
411,475,987,147,602,724,272,451,979,495,930,762,818,849,835,823,553,863,010,
303,016,615,912,623,323,798,652,034,743,064,471,480,531,192,134,959,878,495,
461,074,934,561,394,122,080,104,375,930,195,077,456,179,293,925,589,629,155,
396,741,411,431,933,824,728,720,066,806,215,922,410,803,777,387,581,105,782,
562,507,283,917,703,559,557,579,724,824,467,626,052,521,934,533,784,236,265,
826,881,054,000,479,811,550,038,889,122,156,815,364,558,124,491,148,387,686,
597,720,083,302,210,776,398,182,084,095,467,823,388,364,808,453,855,597,534,
035,592,098,454,918,873,294,084,370,328,590,001,363,790,174,879,456,710,300,
883,527,166,999,129,733,213,833,929,374,953,868,357,428,786,647,755,828,483,
435,198,410,130,489,207,433,982,527,698,200,379,087,435,625,843,817,778,697,
568,330,528,370,766,110,485,581,682,223,595,230,227,034,143,934,516,284,694,
811,117,350,870,550,431,051,649,559,012,879,553,597,231,413,454,539,846,735,
419,380,964,797,617,124,971,153,424,967,274,241,143,601,107,693,582,042,461,
899,580,858,719,904,240,729,206,080,670,615,542,741,863,429,010,323,713,664,
654,197,549,864,654,226,982,315,870,256,673,361,408,962,817,429,099,682,392,
274,503,936,285,721,373,784,047,544,394,953,781,751,467,894,573,636,370,299,
850,044,819,697,201,867,643,466,100,198,103,854,877,349,968,916,652,780,589,
591,544,136,828,322,676,367,228,516,468,859,872,137,623,610,591,960,561,705,
225,382,145,604,150,406,889,862,901,684,182,061,368,527,700,229,245,488,191,
126,272,722,242,893,700,217,767,887,708,733,549,118,120,101,554,835,677,093,
104,187,287,981,783,632,209,976,645,602,325,106,039,085,256,215,288,228,335,
107,541,451,826,747,557,491,102,334,330,339,017,969,239,226,626,316,732,018,
197,533,447,612,893,642,184,232,399,901,829,232,280,959,085,919,760,010,692,
376,074,071,832,572,061,201,541,849,821,914,016,564,768,145,858,164,016,160,
304,337,379,397,526,529,859,613,399,026,676,218,842,128,784,790,938,719,655,
765,142,075,902,353,477,800,898,919,012,359,557,952,029,283,830,105,813,303,
363,810,006,154,030,078,708,886,009,278,143,728,837,892,007,399,713,873,348,
384,412,370,767,831,294,785,434,101,721,027,888,750,592,812,214,468,422,798,
226,879,101,851,295,584,522,856,709,840,679,578,905,594,393,979,238,371,629,
354,603,728,600,028,803,766,320,898,131,643,103,300,831,836,083,025,626,301,
298,921,021,012,166,011,906,523,065,593,566,734,372,160,673,877,477,759,198,
734,658,684,778,169,034,945,488,034,987,743,819,523,213,106,474,196,621,573,
323,605,517,010,428,341,530,659,732,848,991,656,444,069,685,656,772,030,608,
603,914,006,948,173,831,093,461,626,956,241,180,540,048,394,686,783,804,976,
121,395,906,790,277,257,164,737,479,351,762,300,791,747,448,107,884,291,008,
323,122,974,104,920,203,779,708,179,850,044,521,491,079,606,536,059,938,923,
495,980,046,557,565,192,696,037,113,232,410,217,014,762,977,540,633,637,615,
379,149,507,694,224,543,953,904,451,238,110,773,543,893,891,422,924,075,756,
138,876,386,831,757,357,973,491,293,529,953,163,864,933,269,387,636,044,417,
217,123,263,346,544,170,566,395,604,906,316,413,952,252,455,786,406,729,245,
995,608,466,189,415,270,280,318,568,369,905,179,795,247,761,966,174,602,956,
831,905,019,119,927,004,355,363,767,533,367,079,943,724,029,235,619,092,889,
813,496,693,808,408,454,268,242,187,101,052,190,577,702,042,632,650,216,953,
900,848,531,135,485,087,604,982,740,572,315,879,499,935,964,709,081,668,189,
613,918,746,050,701,282,992,934,830,335,416,812,049,478,979,298,356,098,065,
550,606,026,218,203,642,677,042,763,057,583,356,832,422,814,086,639,240,412,
163,009,044,329,436,211,979,901,694,391,008,327,402,763,985,875,429,621,502,
359,026,175,646,964,155,592,684,675,558,133,763,892,610,498,669,443,778,748,
228,394,784,932,399,825,407,211,916,406,713,650,911,619,115,855,567,036,941,
401,399,178,863,677,643,372,229,569,234,231,294,102,836,386,199,457,016,808,
759,807,610,096,525,844,973,732,970,030,825,833,505,719,967,028,689,641,429,
967,279,012,122,437,006,359,741,130,945,552,446,005,727,177,723,276,993,955,
105,061,167,199,221,298,930,235,725,606,952,898,015,363,401,527,371,067,603,
933,028,852,606,688,238,463,926,282,878,522,794,337,614,451,959,959,940,139,
599,949,902,862,900,763,319,887,035,915,723,166,082,638,465,320,763,723,060,
588,433,890,430,890,697,843,937,183,489,908,331,975,366,157,479,189,027,916,
215,240,295,890,832,910,746,007,813,923,079,350,484,602,121,272,685,351,024,
174,185,741,193,818,449,013,624,517,545,389,053,670,062,633,107,632,377,144,
709,233,763,124,337,701,013,462,999,904,155,322,543,820,558,319,336,755,325,
938,394,874,707,601,698,173,778,881,522,411,320,094,370,041,586,993,594,213,
026,504,700,682,384,622,036,446,506,184,105,801,217,212,871,501,667,338,846,
154,756,592,857,339,012,108,041,108,798,175,911,648,300,124,467,188,645,235,
392,210,557,887,552,886,608,766,944,907,025,702,161,012,117,298,396,721,747,
631,908,112,408,425,799,960,099,345,852,086,961,099,716,013,181,160,431,537,
611,179,106,425,842,600,052,295,247,494,103,033,463,512,884,394,699,870,889,
595,371,987,709,754,485,607,419,457,410,669,020,476,839,462,899,537,965,897,
851,415,003,254,043,776,358,006,766,675,090,109,124,542,879,398,277,486,832,
939,877,993,675,445,674,724,447,440,472,617,060,997,098,187,152,333,424,512,
225,026,312,013,596,240,860,211,356,809,213,310,645,313,288,985,120,530,954,
573,663,702,846,994,321,496,043,619,664,930,005,305,517,517,051,552,590,334,
916,822,550,486,480,937,594,016,310,364,122,247,384,862,509,138,533,506,524,
497,410,269,087,558,662,709,039,498,493,603,145,924,711,798,527,439,331,931,
597,008,657,364,894,193,395,581,177,705,691,141,504,194,277,927,802,086,203,
082,042,305,876,678,422,779,888,237,982,438,383,220,154,987,958,284,863,196,
056,366,026,902,436,989,444,578,535,749,038,377,222,372,783,528,734,531,698,
358,639,573,201,506,738,851,249,267,517,107,866,395,934,692,909,902,964,802,
345,206,590,378,997,560,303,289,866,464,489,703,852,329,371,908,101,641,936,
270,154,831,900,993,714,146,041,933,859,882,321,523,128,674,576,211,112,291,
528,816,976,168,074,218,114,251,974,116,482,020,490,811,443,468,376,257,212,
966,976,734,269,179,124,786,070,195,993,573,915,263,132,320,455,108,692,079,
536,633,812,810,318,083,535,265,527,574,029,597,774,330,509,926,900,502,312,
443,491,129,835,351,384,925,003,999,681,636,517,252,239,560,363,708,397,822,
757,126,672,345,254,812,429,031,113,468,130,390,524,770,314,708,605,505,985,
029,661,145,490,242,557,573,499,840,703,385,100,381,049,018,184,100,673,840,
091,442,360,005,488,035,355,302,035,542,178,923,801,337,116,541,087,073,508,
891,668,167,387,493,846,277,596,812,637,258,346,861,184,224,916,426,398,840,
693,588,350,558,448,750,058,735,855,722,352,836,600,489,288,774,797,586,922,
536,466,665,716,591,948,922,859,912,013,562,995,598,965,438,645,727,610,210,
180,493,903,986,176,738,395,920,365,640,716,871,580,866,381,100,794,901,865,
742,091,040,519,225,041,599,701,250,098,248,119,871,892,106,553,582,812,056,
167,335,620,409,898,382,359,637,409,514,616,693,079,061,205,144,981,924,178,
250,065,846,721,386,597,588,333,382,828,501,898,870,399,590,224,173,062,476,
812,241,595,388,983,556,299,236,081,683,348,361,747,805,078,965,079,669,006,
367,259,779,349,334,989,057,197,635,126,299,995,921,170,873,491,669,954,083,
937,032,794,032,438,998,541,575,506,283,659,344,621,541,059,428,605,432,613,
195,392,590,189,993,067,844,139,576,362,678,029,127,242,457,226,504,042,755,
403,809,340,380,967,768,230,488,039,979,755,653,375,707,537,593,894,014,559,
244,579,684,278,675,755,816,839,242,348,222,226,362,353,242,465,141,334,623,
894,265,727,776,016,690,907,943,569,249,777,149,876,307,810,913,061,595,305,
482,717,851,611,404,595,483,614,997,557,581,679,635,655,237,721,026,814,250,
436,737,631,913,216,152,853,576,417,048,480,843,767,414,253,356,722,461,927,
578,446,132,732,543,147,370,956,078,403,518,114,812,231,007,283,773,243,635,
028,177,775,354,190,282,697,208,906,076,767,058,683,694,854,034,323,106,445,
040,492,331,475,902,497,372,283,844,864,792,212,583,789,084,273,449,160,187,
031,478,445,229,430,833,382,588,484,000,485,755,035,114,080,776,861,656,391,
265,067,405,946,132,405,833,501,618,201,384,461,742,831,030,977,648,188,963,
050,525,892,650,114,580,023,414,476,250,562,981,843,985,538,673,393,496,390,
671,474,185,694,394,220,272,174,230,725,462,047,253,872,119,129,637,310,449,
713,775,115,232,294,390,004,101,635,900,775,152,886,851,777,247,886,228,765,
490,284,419,371,766,825,850,821,037,563,091,187,533,665,005,423,223,608,008,
300,842,761,340,664,682,949,305,190,974,791,686,974,915,962,601,507,383,789,
578,206,265,950,553,888,283,608,478,740,209,638,281,707,632,258,959,483,587,
641,357,694,270,471,128,246,043,521,126,304,534,322,359,194,503,720,288,713,
672,689,593,007,734,766,997,688,198,509,589,699,514,893,994,657,873,266,991,
739,539,857,601,369,984,910,140,437,949,753,376,852,005,804,413,157,511,414,
327,005,842,386,140,294,862,205,610,506,950,132,612,462,265,932,106,874,885,
667,127,959,377,266,626,894,789,720,850,388,104,811,813,354,221,822,639,768,
146,071,887,386,123,687,074,377,671,769,025,991,504,662,535,911,951,010,239,
087,558,192,796,173,548,321,261,784,333,483,576,206,805,173,629,392,877,188,
812,908,014,881,473,310,175,422,588,127,172,168,055,005,669,227,840,115,153,
807,663,540,262,584,431,012,412,733,373,981,107,392,608,179,030,372,959,939,
649,715,265,004,340,000,738,612,464,872,473,452,730,499,797,585,175,810,045,
446,023,009,855,530,688,906,671,655,198,508,940,832,947,704,725,023,385,160,
251,187,465,902,482,336,972,364,505,808,258,845,040,007,735,036,672,712,949,
770,472,866,169,375,729,669,446,568,957,253,374,961,424,967,810,888,589,256,
968,147,776,570,576,089,521,053,438,720,476,284,610,570,980,107,641,959,028,
975,846,052,103,006,118,745,530,869,383,711,577,894,240,978,284,443,895,007,
522,122,396,066,901,628,019,039,916,718,961,040,263,853,173,969,587,850,286,
809,170,872,513,142,545,606,843,775,103,599,697,005,491,462,154,400,238,441,
333,945,427,310,944,060,650,062,456,945,655,323,993,045,652,261,993,133,409,
311,971,643,519,694,579,195,502,969,937,700,686,325,463,772,805,099,041,134,
160,703,193,313,711,265,777,590,975,250,884,933,239,804,138,754,059,224,667,
750,819,725,500,325,500,242,373,455,646,934,592,977,075,354,952,622,204,309,
310,729,112,001,101,892,114,113,403,859,844,501,186,097,544,706,689,870,302,
454,000,518,344,968,224,471,053,474,909,391,530,760,017,528,272,275,194,864,
853,959,844,867,200,557,893,835,411,913,581,624,550,670,731,186,668,786,491,
507,181,392,630,081,945,499,008,323,703,743,162,053,906,459,298,307,220,978,
729,269,736,877,209,739,020,452,969,192,853,432,484,000,138,332,276,278,623,
467,711,328,978,758,234,364,183,633,649,940,587,742,218,687,928,564,487,564,
771,399,022,052,657,144,904,184,024,927,282,427,059,915,060,623,740,173,581,
750,710,152,507,725,206,427,067,952,274,161,406,106,211,538,629,411,083,886,
754,675,821,645,414,794,010,808,257,334,541,402,879,801,891,869,604,374,500,
277,990,897,759,643,042,513,873,805,763,125,222,906,199,006,380,554,649,476,
679,601,167,363,182,866,289,984,570,628,306,202,355,067,769,671,519,813,972,
766,924,724,075,781,520,467,943,750,153,296,563,164,288,453,088,658,932,866,
648,645,338,115,905,360,150,794,522,871,415,153,493,631,346,576,729,713,078,
073,843,250,960,626,151,987,385,442,207,662,103,907,709,967,551,312,436,860,
116,214,543,688,011,563,152,480,304,241,118,774,276,670,298,842,740,254,388,
750,533,849,921,301,281,385,609,787,161,326,392,732,768,119,054,291,514,619,
305,879,088,347,266,591,874,415,909,823,781,468,115,034,590,825,955,081,680,
339,953,138,613,500,384,629,078,206,019,474,588,159,608,776,969,443,925,297,
260,547,061,656,746,047,386,627,277,366,288,511,599,905,487,221,818,463,726,
484,466,959,773,541,614,299,987,040,038,990,107,747,427,153,762,289,635,168,
310,341,206,670,311,930,400,167,221,036,146,808,328,878,010,703,495,876,267,
111,514,885,385,631,263,522,086,078,934,441,852,678,317,659,143,016,032,744,
290,067,651,561,417,629,254,024,577,107,755,410,028,365,613,781,824,206,455,
517,325,063,705,416,201,016,822,395,010,242,485,254,100,644,282,555,648,170,
318,578,781,536,234,887,898,430,124,346,486,988,132,698,951,154,142,753,531,
765,041,264,838,461,083,423,524,179,959,995,671,489,936,543,474,516,116,528,
418,440,784,151,984,650,601,381,261,359,414,763,382,150,245,781,374,178,049,
670,827,078,091,577,715,099,085,651,678,771,982,862,332,414,088,011,908,699,
889,994,836,133,643,355,915,387,702,383,296,793,507,468,635,072,855,915,630,
227,515,659,250,750,742,653,665,006,713,070,933,566,253,375,216,728,461,375,
521,608,629,435,210,238,611,371,675,814,933,151,806,277,543,659,126,063,227,
471,509,662,184,161,250,523,943,465,945,949,917,024,165,142,161,298,565,356,
453,398,949,387,567,786,052,878,933,310,015,821,163,466,849,590,127,236,136,
984,648,291,448,597,484,683,591,682,519,420,037,330,919,085,788,359,881,734,
451,846,203,873,220,074,810,263,036,164,339,134,161,954,684,828,649,046,052,
470,849,167,517,201,406,154,630,907,001,187,606,793,534,619,247,417,971,716,
409,651,765,795,171,761,729,086,326,364,165,026,646,876,323,401,720,440,980,
533,635,255,460,549,338,547,866,673,693,024,130,798,800,202,143,257,287,120,
223,170,286,998,591,547,483,146,211,389,414,860,824,422,909,685,763,422,896,
344,134,013,340,348,749,750,562,716,581,311,497,916,536,850,192,125,600,378,
525,100,227,110,892,974,257,771,024,021,135,368,285,399,659,693,713,003,896,
037,988,779,382,408,813,739,416,825,918,170,317,385,218,630,570,670,600,492,
069,562,753,061,750,101,878,656,394,210,131,895,194,172,443,236,729,344,148,
095,559,876,774,343,023,165,701,613,860,628,312,406,710,419,049,528,164,836,
461,392,341,709,506,974,351,248,111,129,686,467,857,254,796,247,946,312,484,
596,783,536,049,480,864,360,941,100,046,192,068,700,186,142,828,753,699,082,
630,451,373,309,786,708,981,379,805,274,028,307,309,169,967,391,250,595,587,
708,118,747,284,943,254,450,419,230,387,873,241,274,320,683,685,616,490,629,
684,197,526,953,764,373,245,774,526,304,112,954,775,176,849,540,253,733,759,
933,624,699,879,340,291,099,589,756,205,435,401,359,761,947,752,936,275,707,
380,602,208,617,572,534,773,363,471,208,929,148,606,983,060,715,711,590,906,
909,613,389,397,163,738,735,379,519,410,220,668,354,797,829,959,098,076,870,
079,778,548,389,847,744,800,108,475,177,752,205,246,279,526,384,381,512,486,
424,361,132,120,989,600,645,583,583,732,308,256,506,431,137,554,734,125,631,
463,614,423,317,898,309,818,123,150,293,258,374,579,780,485,816,556,044,243,
104,069,223,580,899,920,188,064,325,322,852,857,391,841,126,179,821,216,039,
186,151,508,945,786,182,045,267,728,066,514,687,910,435,962,271,589,654,484,
749,809,567,394,534,096,851,035,335,224,668,903,403,392,272,787,327,798,722,
706,684,701,247,733,598,196,904,328,636,958,655,428,021,335,882,522,964,162,
166,306,036,607,409,404,756,134,624,128,504,933,486,671,060,655,910,712,141,
343,175,944,522,303,401,127,858,265,004,510,134,010,918,017,934,462,272,222,
660,887,825,588,779,423,137,797,963,850,282,222,067,585,841,554,383,426,947,
358,424,366,295,719,860,911,910,950,845,181,270,498,464,479,644,851,404,122,
489,148,505,781,141,822,224,591,885,555,312,655,325,059,673,323,844,460,549,
232,096,817,078,400,212,309,830,925,427,110,938,654,722,378,378,114,666,622,
273,819,561,714,332,427,553,453,217,689,216,751,689,401,826,308,755,495,608,
830,466,264,756,736,404,494,728,684,024,624,548,529,458,235,901,063,529,792,
004,767,754,175,490,112,018,065,195,545,077,732,042,440,323,245,927,599,799,
948,450,881,931,677,639,945,739,373,528,206,374,464,539,395,655,262,025,232,
337,985,790,793,556,680,134,212,366,223,195,221,219,689,358,325,316,862,220,
380,231,391,388,911,778,632,254,196,416,477,561,551,096,889,496,002,575,434,
002,941,512,316,927,549,417,202,171,494,138,883,019,294,817,988,335,221,626,
168,804,494,092,851,666,909,136,317,969,625,176,898,777,423,631,848,134,511,
516,016,273,500,347,900,750,715,310,938,912,058,007,897,181,263,844,643,995,
411,412,072,844,683,448,354,542,556,685,711,846,503,421,953,486,094,139,629,
621,728,030,205,621,406,629,501,754,577,598,040,289,261,581,314,484,590,869,
235,147,231,949,005,869,160,393,657,752,392,141,947,795,753,798,245,407,298,
212,383,741,340,697,243,960,292,502,336,333,421,030,376,140,102,831,855,702,
118,170,110,578,406,360,828,077,453,624,090,926,629,994,319,959,574,779,718,
304,135,060,782,326,084,061,135,580,118,889,097,954,865,627,900,247,324,757,
018,759,157,117,720,926,133,636,701,652,923,304,463,413,199,441,073,246,999,
203,681,940,343,467,834,192,696,682,616,989,063,559,531,862,372,326,242,439,
218,091,966,746,972,734,253,395,959,911,135,978,522,944,020,985,422,117,983,
509,891,420,680,831,238,252,997,332,627,090,664,141,470,643,479,812,063,450,
019,703,660,563,938,646,495,283,633,123,125,347,136,735,154,364,220,993,342,
247,050,578,184,243,176,159,939,883,791,917,430,878,702,345,607,304,021,716,
097,811,640,062,763,796,238,239,585,920,975,077,023,005,429,363,791,417,943,
610,990,091,528,086,357,949,934,302,682,515,033,410,846,023,273,115,646,024,
842,999,020,669,334,440,870,839,280,995,742,996,172,311,082,590,109,946,283,
128,034,756,962,999,267,717,427,845,814,998,549,852,082,464,014,769,854,136,
904,277,459,910,468,697,824,614,149,454,547,935,971,583,909,750,745,122,220,
915,700,296,648,247,940,161,465,719,166,734,413,479,169,718,058,406,207,290,
116,951,753,475,528,906,159,911,281,739,359,674,334,269,800,666,282,700,679,
583,758,161,968,950,287,562,335,862,658,160,411,885,543,881,500,148,825,548,
176,648,121,400,402,565,562,203,853,051,154,578,766,972,612,812,658,653,540,
582,564,752,522,790,788,326,379,669,879,878,448,029,206,631,713,577,878,537,
699,352,931,741,339,958,810,173,599,200,601,837,567,825,539,307,439,870,692,
363,761,172,583,364,020,403,122,617,310,246,308,751,545,940,185,670,718,203,
692,326,120,035,362,090,205,075,453,468,658,859,912,713,484,111,218,149,085,
945,201,817,554,199,758,633,235,072,533,893,299,390,654,219,619,371,061,490,
263,078,941,862,799,876,434,972,709,060,066,075,324,713,097,051,101,153,336,
368,269,087,029,822,258,983,308,580,421,473,273,705,355,920,378,261,744,322,
778,625,832,653,231,323,179,449,053,705,625,799,088,189,248,236,841,258,901,
499,164,205,788,789,195,999,680,556,640,327,646,553,489,298,846,428,469,886,
546,591,972,553,374,239,879,154,561,648,709,631,710,855,310,681,393,819,245,
643,386,790,337,147,946,183,710,243,260,940,669,690,684,555,905,206,890,751,
312,226,406,673,307,292,268,406,891,031,526,008,187,373,496,215,315,831,759,
677,325,746,470,638,466,683,806,646,701,498,735,456,606,502,627,102,027,591,
841,496,859,348,262,945,081,507,548,154,727,677,518,987,919,495,768,743,026,
670,830,411,831,214,549,799,534,965,832,559,574,063,586,676,118,544,721,661,
857,842,370,430,723,511,214,214,505,512,222,645,558,822,399,772,110,638,331,
116,760,070,598,083,320,089,040,562,920,587,950,825,623,573,232,804,511,691,
571,434,095,657,850,625,879,130,074,954,297,396,986,749,390,341,253,602,138,
635,656,147,257,027,038,453,193,409,439,648,101,895,335,975,980,722,578,239,
516,609,972,823,873,641,588,840,093,417,350,388,759,653,840,754,878,166,089,
705,517,042,930,699,188,883,869,747,532,932,958,252,933,358,863,372,731,835,
755,702,726,097,427,080,802,492,843,927,241,700,739,354,722,945,646,318,967,
401,666,430,405,606,209,098,621,864,875,978,608,168,293,911,231,953,037,065,
648,229,668,433,496,247,570,790,441,807,650,566,238,022,937,872,258,921,159,
998,948,654,522,957,794,338,487,773,843,261,731,771,840,130,210,043,698,287,
461,422,587,823,076,061,239,652,902,411,749,180,433,244,715,163,654,158,787,
412,126,914,143,857,684,955,810,980,930,077,240,706,953,045,622,160,435,793,
857,568,975,604,383,839,307,974,882,146,402,844,501,907,603,030,931,569,758,
379,400,110,100,746,635,555,888,809,391,840,973,797,200,056,573,524,842,721,
683,264,961,324,804,407,324,159,380,675,717,575,397,461,215,633,765,788,557,
060,540,937,267,020,658,284,859,207,261,604,877,500,757,949,840,228,352,231,
801,566,974,405,904,478,713,944,818,659,972,527,476,635,982,707,948,271,802,
579,185,055,930,072,039,450,740,950,713,120,106,876,615,112,134,427,560,850,
390,836,741,980,085,539,925,701,149,506,125,263,152,990,530,666,259,432,901,
046,396,743,945,813,790,383,109,536,484,746,644,132,381,882,939,752,911,821,
296,578,708,230,780,155,443,331,307,443,695,000,981,224,628,117,015,705,208,
983,290,196,509,048,563,543,145,418,128,318,219,517,552,819,088,649,136,720,
153,327,138,538,725,236,553,169,674,529,752,205,996,039,330,053,259,946,245,
572,401,397,437,402,646,184,526,793,628,721,878,610,340,132,959,988,066,799,
561,820,458,705,560,090,843,357,155,897,317,703,751,576,031,780,532,151,225,
869,090,169,235,788,035,477,082,823,930,088,030,865,495,344,888,681,350,637,
498,806,799,945,195,888,347,100,161,375,685,866,238,399,805,516,277,540,928,
236,497,021,177,379,869,006,666,346,260,337,432,402,250,672,818,061,917,493,
833,541,561,100,266,520,950,545,982,908,802,726,468,321,923,191,906,373,375,
114,686,028,070,100,371,263,042,744,739,129,872,769,633,825,907,669,508,009,
934,951,201,143,599,274,877,770,519,728,541,449,318,579,283,726,314,596,385,
644,380,881,636,175,237,044,657,562,123,506,978,328,583,922,969,124,112,758,
685,267,701,052,519,459,303,944,713,495,568,494,271,763,352,490,496,492,520,
056,551,127,832,426,001,259,651,443,821,354,523,396,267,238,475,813,849,775,
198,772,016,404,990,674,891,029,973,406,458,188,754,157,059,350,411,821,806,
498,768,017,348,300,586,684,711,144,167,875,189,275,308,705,758,946,290,234,
628,074,284,629,678,426,038,362,711,043,926,286,545,004,777,314,649,522,944,
972,602,070,031,774,994,745,593,314,423,541,904,606,613,522,151,902,254,532,
109,983,680,695,964,735,336,112,208,475,624,532,721,849,487,292,607,741,512,
236,842,394,761,647,448,329,601,522,310,133,165,365,572,099,879,331,309,568,
216,043,574,213,517,160,546,368,358,495,475,044,219,535,498,087,787,223,989,
120,412,756,322,265,300,883,924,448,210,597,560,953,905,111,999,538,414,954,
221,455,265,924,954,891,799,049,217,942,151,233,743,534,058,965,107,351,308,
721,134,258,120,931,926,851,092,206,722,542,935,016,358,894,887,726,721,039,
290,893,131,396,557,834,817,086,696,899,389,182,090,769,934,429,276,995,585,
514,234,629,569,908,463,654,662,973,692,235,038,454,424,037,666,031,360,298,
943,598,653,936,256,127,915,654,458,285,475,323,003,282,594,781,175,092,962,
085,375,497,878,665,101,436,385,545,496,546,417,393,738,835,534,626,125,354,
837,664,041,696,094,129,742,460,933,262,359,395,507,740,284,944,921,150,929,
092,985,907,117,485,146,114,392,463,190,037,953,379,923,746,636,320,730,123,
103,018,525,435,639,438,172,190,392,785,184,041,024,063,022,231,275,200,458,
677,646,369,305,089,961,493,813,251,573,955,322,389,251,356,654,203,387,880,
762,263,911,481,357,242,542,713,506,998,431,331,502,574,481,892,609,501,668,
520,611,546,922,104,019,417,556,961,577,562,515,749,821,149,474,621,337,860,
807,679,847,910,975,444,233,957,482,041,708,058,180,556,112,073,172,858,863,
804,710,991,437,566,253,484,426,268,512,910,301,327,628,148,634,944,096,834,
734,871,956,003,118,633,251,505,240,559,471,316,955,130,507,896,798,492,196,
970,509,212,850,318,133,330,029,407,136,604,126,294,312,128,971,018,465,978,
961,749,277,368,208,051,879,081,446,771,210,758,902,087,203,546,460,167,905,
107,965,996,469,399,060,419,435,458,882,640,907,515,914,195,859,506,165,467,
696,978,020,789,795,703,509,582,919,130,089,277,495,161,003,505,147,769,173,
614,800,368,939,867,607,591,760,861,331,464,860,259,300,256,509,139,477,871,
417,125,460,624,921,987,680,505,807,138,523,691,942,200,415,197,648,449,983,
453,527,727,912,021,334,196,643,813,862,398,182,159,806,290,945,838,925,753,
590,357,955,833,508,679,485,620,608,111,571,694,617,067,151,549,727,431,374,
218,653,121,424,270,201,374,078,280,640,415,923,606,706,170,250,259,732,264,
919,671,499,695,321,266,110,997,118,855,817,096,121,084,028,765,247,884,323,
699,273,350,019,272,489,315,300,617,898,357,708,481,384,548,552,780,157,288,
591,470,632,998,900,407,470,109,194,855,036,289,297,700,866,742,460,553,403,
631,057,194,396,651,308,960,630,690,925,404,979,659,030,446,810,999,551,708,
321,718,549,708,918,310,131,971,159,731,842,029,189,688,693,978,286,349,491,
630,536,161,708,052,030,564,610,969,395,465,777,984,607,745,293,039,329,213,
472,384,969,942,834,569,428,691,176,464,619,113,755,098,183,942,400,634,153,
966,693,506,173,779,697,093,425,770,725,285,916,627,781,320,550,349,737,537,
295,026,927,477,072,364,355,830,402,289,583,226,483,890,840,274,911,156,148,
538,290,565,848,136,041,924,704,495,556,313,108,359,474,941,103,676,334,775,
755,390,200,734,534,699,137,727,685,415,733,960,468,885,943,766,870,562,002,
949,920,461,595,978,277,698,062,898,587,961,319,017,557,154,029,972,923,158,
652,387,161,186,375,764,198,790,958,543,637,481,359,888,778,440,204,011,510,
982,651,710,554,207,222,733,719,804,944,457,417,693,594,857,003,140,034,840,
764,441,115,694,900,979,523,430,580,641,048,484,334,187,785,178,525,283,874,
942,191,773,184,816,447,855,173,156,032,411,890,296,712,685,751,625,298,075,
649,274,746,026,828,860,167,386,669,309,429,940,411,475,112,325,343,993,543,
851,545,615,934,967,200,957,849,547,321,532,108,773,456,915,599,296,628,156,
979,129,544,182,776,773,409,395,436,705,814,456,318,126,068,216,637,365,042,
273,338,571,918,534,587,736,217,669,755,694,913,342,171,065,085,869,690,813,
587,885,743,968,250,242,500,139,714,418,789,819,020,430,326,955,157,208,860,
366,042,380,531,531,650,732,498,423,152,932,149,293,307,426,543,535,446,013,
465,866,367,736,103,331,538,706,337,738,248,339,363,551,105,185,378,040,288,
580,523,162,048,976,164,352,432,683,486,591,564,099,889,669,586,941,065,148,
789,101,595,811,338,505,105,702,091,484,960,409,329,297,506,336,596,761,599,
937,645,735,190,605,917,837,486,636,328,661,218,751,578,228,473,007,314,885,
616,292,336,251,159,670,458,462,851,047,712,378,044,509,721,123,676,646,157,
276,222,984,545,973,609,822,099,769,864,778,503,347,366,236,414,079,712,297,
517,680,413,400,584,157,392,976,344,006,597,334,893,598,666,629,656,640,875,
769,158,918,834,180,979,011,805,045,127,432,390,822,628,271,073,141,474,979,
684,411,136,442,094,591,255,256,798,254,610,528,561,012,069,144,535,371,587,
523,638,073,731,775,520,110,346,318,628,125,164,210,892,002,288,459,205,252,
137,526,375,146,380,117,704,797,577,784,738,383,304,710,274,721,198,509,756,
654,239,161,949,333,781,069,130,887,769,986,883,864,491,227,082,501,923,119,
433,260,356,908,784,254,146,609,072,278,421,633,341,451,961,218,912,055,426,
520,391,753,331,611,053,529,659,179,008,494,988,275,201,233,030,046,435,780,
788,156,513,132,914,449,488,255,438,430,461,972,070,318,930,222,504,062,506,
982,707,227,593,647,864,372,137,699,381,793,658,988,900,532,574,698,622,222,
160,102,029,473,463,937,142,289,629,044,292,882,127,981,622,211,386,770,105,
282,409,208,443,395,611,888,172,823,140,250,953,143,771,900,181,311,539,939,
789,906,935,490,321,553,615,987,656,939,372,167,653,487,344,473,547,573,907,
337,119,364,335,012,776,810,370,311,021,406,969,499,884,573,191,743,323,261,
070,122,546,287,683,104,249,401,798,469,501,738,289,903,603,784,555,258,699,
612,801,832,671,722,431,905,713,810,493,574,667,316,275,175,861,246,901,689,
573,340,347,653,463,820,606,509,925,238,536,294,765,121,139,903,547,704,084,
063,564,289,649,386,198,201,817,728,934,166,980,194,967,633,830,993,848,318,
395,891,152,729,310,487,131,531,838,004,402,241,056,957,511,806,482,510,716,
637,235,803,627,593,786,092,521,378,452,045,209,046,589,115,686,113,887,539,
989,173,032,467,940,256,990,345,789,367,015,639,481,884,375,728,773,861,908,
497,675,337,125,003,147,834,497,121,264,815,244,922,557,400,792,051,978,319,
860,478,883,566,292,853,453,024,349,149,842,648,373,245,590,535,126,337,729,
183,024,347,042,918,795,281,604,966,250,895,765,670,044,958,993,397,796,868,
386,877,031,494,591,033,762,732,769,750,104,104,141,177,535,313,810,060,960,
799,707,199,147,915,355,697,787,999,216,883,868,052,915,231,611,694,253,271,
842,603,855,421,241,687,430,857,244,630,745,485,105,222,491,627,943,336,493,
463,307,282,812,995,331,770,269,509,311,719,595,319,850,078,128,750,220,795,
493,188,151,359,725,686,866,784,387,235,190,541,886,899,260,229,242,694,795,
653,366,220,966,668,227,630,690,096,809,599,141,907,830,939,355,345,829,370,
780,727,617,065,833,892,553,504,957,536,695,692,803,556,254,589,282,784,043,
649,945,719,984,805,331,885,065,097,021,198,409,817,550,293,824,371,378,221,
008,787,815,011,954,338,126,379,730,435,147,700,475,512,825,772,092,832,961,
284,490,068,513,614,515,417,362,451,145,180,060,113,934,629,125,456,071,031,
232,344,958,430,346,325,215,319,259,170,581,307,287,894,557,798,330,034,213,
683,863,666,408,465,919,603,443,274,089,249,292,749,863,795,484,249,954,512,
842,531,279,816,514,893,470,348,284,689,957,232,598,411,410,268,780,083,550,
423,094,197,432,717,479,746,284,325,359,269,991,249,808,928,376,170,673,180,
463,672,627,724,584,553,611,096,805,061,136,253,174,905,229,573,386,309,633,
800,821,684,672,784,043,777,544,712,688,622,127,110,989,454,034,385,543,311,
261,250,035,943,654,062,171,713,707,430,243,584,104,168,977,395,879,110,684,
915,046,202,489,502,729,498,230,002,085,340,157,181,778,647,285,347,394,119,
313,377,657,117,655,220,037,070,750,288,853,326,022,995,575,168,684,548,428,
673,543,218,354,664,449,983,388,646,550,843,707,219,773,202,646,281,450,278,
064,172,023,426,114,670,934,820,239,547,525,477,630,572,088,102,013,527,397,
804,216,839,835,665,312,504,609,246,467,698,965,755,731,866,382,017,954,639,
301,230,143,017,635,932,876,777,047,974,534,077,707,814,436,085,415,430,635,
428,131,265,749,564,784,541,931,454,072,395,846,247,033,323,335,422,017,161,
221,367,370,703,096,710,167,854,464,947,980,424,694,631,578,759,153,092,068,
304,344,180,286,485,976,434,300,231,885,636,121,118,540,046,886,786,563,264,
288,409,566,964,629,428,111,414,614,761,544,100,894,274,761,382,273,520,870,
078,344,859,921,621,801,279,793,267,174,016,787,159,336,039,962,334,251,398,
209,170,874,381,307,889,729,166,184,708,923,686,411,700,910,260,652,004,920,
798,964,693,794,791,895,093,607,940,999,344,539,399,650,968,920,232,634,609,
334,231,392,989,629,790,091,077,450,788,713,400,134,447,481,453,999,583,058,
311,509,496,921,682,293,640,922,343,237,081,310,542,117,064,715,239,033,274,
521,434,720,818,231,212,047,969,017,391,700,793,991,920,106,239,917,137,449,
034,132,985,524,257,871,845,835,483,281,234,315,858,406,308,426,619,360,105,
570,397,885,653,292,226,969,625,622,228,734,579,276,835,113,385,941,154,381,
724,386,595,192,579,429,481,731,297,778,390,380,701,687,293,733,215,497,812,
154,876,455,733,004,248,707,848,581,505,764,710,627,455,180,012,173,932,034,
364,777,632,699,072,165,307,291,952,281,308,694,810,763,079,330,049,525,110,
003,947,364,243,482,513,312,423,887,417,245,163,986,522,274,955,654,758,685,
736,049,364,482,311,752,403,590,569,552,617,752,748,499,955,215,301,854,966,
339,403,156,409,280,751,019,215,868,289,334,720,867,551,031,255,584,973,958,
725,756,432,804,304,312,328,040,512,796,191,379,789,464,666,954,068,663,617,
455,612,397,303,983,821,183,271,107,167,876,657,197,312,809,616,151,601,471,
864,628,266,631,195,707,227,002,759,119,270,785,452,156,540,787,756,431,520,
183,726,260,833,890,183,532,016,730,956,875,654,420,862,555,489,433,967,303,
388,126,041,800,456,953,911,001,689,731,222,700,189,109,489,211,532,722,998,
650,005,117,939,072,201,155,992,666,211,148,657,963,592,749,457,599,751,592,
395,860,829,499,421,777,414,923,277,371,361,324,880,169,171,874,273,525,845,
993,605,582,178,845,427,759,411,348,351,476,971,468,031,501,968,693,933,097,
418,448,801,324,235,352,620,228,994,424,052,729,929,527,368,537,134,806,154,
834,430,982,158,673,963,946,919,836,220,519,372,187,538,665,897,068,532,988,
977,521,131,880,315,810,178,250,308,083,094,413,088,375,599,564,829,435,353,
425,918,868,221,501,045,653,524,861,008,851,414,997,067,727,881,204,177,340,
209,392,555,993,198,214,258,492,065,032,361,469,534,643,494,808,877,058,926,
822,289,613,527,335,078,770,612,349,111,131,130,273,164,447,522,784,735,242,
460,786,968,938,228,021,056,367,679,101,617,498,114,493,020,455,988,800,721,
932,660,962,613,484,230,253,322,332,784,859,551,529,894,907,930,902,149,462,
014,582,928,523,063,751,040,500,942,390,075,013,588,156,078,257,639,289,265,
374,238,824,304,764,741,172,467,872,101,280,624,767,559,871,538,961,697,226,
793,793,172,781,615,081,590,484,116,458,264,952,010,856,577,490,603,306,181,
094,073,463,830,561,131,130,396,855,036,631,765,464,303,006,857,476,111,943,
438,260,574,921,296,464,348,995,893,851,054,193,189,784,742,815,734,066,395,
613,802,969,011,603,207,823,960,879,245,561,818,468,144,498,996,577,649,188,
181,368,174,934,427,787,310,335,586,620,270,782,050,463,876,033,359,635,055,
588,603,099,756,688,698,119,310,901,977,206,456,327,565,293,369,551,544,520,
682,493,565,430,486,844,422,347,955,908,730,537,571,224,896,231,244,725,580,
573,982,676,740,748,389,396,357,977,208,940,400,230,019,425,155,193,245,478,
137,849,592,786,480,769,596,308,649,360,511,003,923,006,765,833,229,848,638,
786,335,190,650,806,597,003,719,132,302,067,204,813,487,733,921,669,410,351,
360,533,569,491,957,268,084,357,281,593,086,520,535,173,927,929,376,846,024,
428,420,470,846,237,638,833,060,767,908,228,918,308,282,085,084,954,168,899,
259,395,459,382,680,890,061,028,855,986,611,468,278,858,212,726,533,999,653,
567,262,183,686,300,543,023,183,921,899,076,526,626,444,655,941,120,466,595,
623,739,545,465,760,845,472,115,396,626,789,769,124,905,213,495,534,302,702,
573,432,676,007,576,767,951,997,650,974,939,936,921,099,891,418,029,122,945,
933,543,958,951,642,392,609,685,861,586,030,765,559,340,510,297,370,860,814,
150,066,305,037,839,369,805,518,054,113,208,213,556,325,011,298,660,565,958,
785,231,219,967,042,284,500,387,389,858,398,880,920,647,990,228,971,648,368,
953,858,287,907,055,655,245,075,905,833,058,896,260,546,743,044,787,994,602,
727,180,902,924,507,552,132,128,376,516,608,293,216,416,934,250,037,805,023,
970,076,592,383,851,639,063,503,021,433,972,491,588,605,748,299,307,141,391,
926,945,308,892,789,749,789,927,395,467,879,700,411,079,452,866,692,192,767,
459,282,090,047,329,919,409,910,976,674,658,150,041,772,113,407,778,267,623,
794,779,527,574,922,380,532,387,563,149,863,119,655,657,899,416,377,268,125,
450,282,998,161,886,879,548,256,747,033,935,766,673,737,600,330,750,360,318,
801,227,019,127,456,580,803,480,895,465,274,326,407,508,458,141,629,224,138,
996,520,373,300,561,606,846,640,773,491,603,933,360,605,687,146,779,572,041,
872,563,736,231,700,303,812,061,836,822,510,493,344,302,247,632,272,059,446,
399,458,572,839,021,320,954,834,782,026,188,844,836,719,924,135,713,920,975,
505,611,511,324,635,627,351,151,059,975,175,485,019,004,580,178,888,249,114,
008,310,201,201,922,655,241,812,084,634,583,996,099,971,752,864,687,157,746,
817,307,826,424,847,657,411,167,914,960,309,622,318,455,747,064,144,454,721,
535,785,974,606,704,092,038,332,632,276,415,279,463,305,559,617,983,068,914,
240,576,313,212,721,010,074,945,777,095,316,131,551,143,509,429,186,942,293,
359,419,667,331,400,934,837,391,928,794,758,757,884,054,674,503,215,605,222,
298,425,994,457,021,156,191,702,976,215,633,914,438,431,378,261,107,626,359,
223,807,346,013,125,683,141,340,825,257,353,087,984,515,807,017,436,144,877,
574,484,336,773,814,602,590,124,181,128,613,495,584,945,541,720,306,182,004,
881,367,779,964,343,571,009,965,571,117,624,376,754,666,527,946,396,453,598,
568,498,896,701,519,711,536,591,586,437,274,904,141,393,878,568,838,790,917,
984,679,915,676,708,094,865,150,379,949,289,240,565,346,291,278,103,030,044,
559,532,126,586,963,810,036,008,019,343,864,674,719,512,336,772,651,238,412,
676,189,620,306,132,755,355,923,091,677,646,773,310,390,619,433,014,921,590,
305,395,847,981,947,677,904,342,421,894,482,770,609,696,693,551,114,641,731,
448,461,119,241,367,757,822,692,018,745,577,711,662,199,689,084,487,844,097,
329,179,843,572,184,032,529,314,485,814,096,835,863,176,327,490,994,737,244,
606,073,629,813,015,100,350,846,471,950,958,047,024,869,213,625,482,955,796,
664,746,016,888,624,543,798,300,502,782,917,159,571,280,111,374,355,108,835,
244,214,383,879,887,863,171,837,309,366,554,720,507,422,446,379,721,364,614,
709,164,179,999,190,769,188,835,715,316,231,625,780,954,248,731,268,075,115,
404,327,162,308,362,522,153,019,490,204,158,166,283,065,294,268,317,822,742,
949,677,170,218,743,644,760,268,224,332,825,573,451,558,966,275,179,436,102,
902,826,736,124,805,267,556,079,745,070,481,623,682,662,681,295,189,343,989,
585,770,192,698,428,741,843,555,599,592,481,072,444,011,677,135,043,579,183,
131,379,772,096,288,257,948,047,587,105,289,962,613,070,029,390,377,516,856,
229,368,585,408,144,340,102,195,790,332,876,638,725,079,355,117,142,149,783,
419,595,020,077,920,126,057,756,497,856,859,591,484,632,971,135,840,509,913,
442,048,578,299,475,775,260,236,040,933,099,134,620,609,219,853,080,834,781,
164,602,162,541,914,249,257,309,227,591,697,387,374,535,976,907,242,005,519,
634,470,627,358,016,776,687,940,062,390,701,257,116,182,320,208,588,094,213,
900,535,855,086,954,891,745,657,099,497,732,894,781,326,583,994,094,843,494,
428,242,696,124,465,591,962,722,826,682,824,319,925,734,891,581,972,000,159,
293,476,810,329,783,167,764,035,706,846,760,469,748,595,137,372,835,359,327,
108,916,183,699,662,474,752,208,477,267,141,688,474,166,153,884,014,654,109,
089,622,161,402,105,427,442,980,425,700,088,235,802,057,838,127,047,800,384,
037,315,142,718,081,044,810,806,939,059,616,010,730,632,627,675,572,410,241,
150,166,422,792,959,509,001,546,619,673,254,329,900,965,728,270,735,084,682,
439,395,033,786,632,246,276,687,853,373,020,797,349,840,892,164,011,429,052,
522,441,484,429,280,685,775,666,710,232,607,154,662,500,322,735,440,855,979,
794,822,590,476,962,146,902,525,334,724,854,260,761,601,721,462,709,893,846,
773,372,287,892,691,527,755,695,242,676,746,616,661,621,350,712,209,480,695,
932,750,295,641,360,578,023,249,949,552,407,631,517,226,635,548,449,163,784,
295,080,384,036,001,721,937,383,131,880,352,442,817,159,170,138,162,149,068,
353,184,189,694,698,735,170,630,407,025,491,221,135,447,102,071,924,195,127,
246,717,896,544,805,118,223,915,609,212,466,855,145,738,664,074,267,393,525,
964,836,613,064,269,637,603,364,450,736,966,314,317,262,002,107,260,837,523,
922,151,740,675,328,302,022,259,647,970,897,380,016,601,380,201,968,429,435,
516,866,676,397,852,130,600,050,076,580,597,216,911,258,298,594,423,809,462,
023,676,304,787,191,512,703,787,729,837,335,179,838,236,298,910,850,532,465,
770,059,711,468,454,257,082,550,501,307,566,667,566,379,665,940,259,407,798,
837,526,326,288,650,103,211,360,327,604,167,093,225,360,070,733,608,340,793,
751,106,472,465,486,758,289,155,577,304,621,700,938,379,759,748,331,245,289,
543,367,196,596,343,534,064,875,605,928,542,059,972,147,530,431,115,661,359,
364,722,005,040,529,737,547,487,448,746,201,364,179,832,843,030,200,575,788,
768,971,528,159,363,945,686,011,991,992,056,009,488,158,382,453,284,933,597,
615,214,930,545,075,163,688,103,644,597,240,999,911,605,964,290,122,313,724,
740,895,385,948,578,989,479,688,698,908,950,035,175,998,391,652,831,302,388,
219,242,043,366,527,221,689,703,038,284,328,341,858,844,164,748,535,274,369,
281,829,025,124,989,596,725,115,021,412,369,286,211,790,081,554,853,833,352,
684,626,842,475,907,489,068,743,463,728,500,906,891,292,330,322,748,931,911,
916,348,471,069,657,106,228,547,119,197,555,986,061,765,524,171,208,534,051,
090,145,842,768,037,357,244,413,501,874,715,625,466,807,020,634,903,681,355,
363,158,425,506,689,607,383,065,621,430,891,176,820,721,956,582,059,391,246,
619,858,089,023,432,143,575,228,361,661,592,749,365,295,922,591,761,564,165,
327,018,729,967,514,615,817,950,825,845,638,376,697,422,692,387,686,426,031,
264,442,885,699,448,790,657,202,145,941,338,466,403,113,441,554,613,931,317,
604,793,511,432,458,226,525,486,649,845,163,642,420,245,995,731,376,190,398,
746,848,632,379,185,294,142,057,957,614,483,003,860,876,091,784,163,699,748,
837,816,557,629,503,120,720,892,335,955,492,074,643,548,952,737,518,602,658,
472,315,680,639,409,562,816,234,433,415,577,597,033,969,521,701,738,570,179,
459,749,252,640,613,999,383,401,027,503,507,151,359,156,276,970,725,413,336,
625,259,805,510,490,120,969,129,126,452,495,282,603,670,896,461,061,340,475,
955,804,116,470,987,247,590,526,487,830,398,283,726,156,696,766,707,645,436,
285,273,302,988,156,079,290,665,982,484,085,816,211,313,517,526,832,174,970,
562,610,590,029,145,509,738,236,752,227,315,087,482,942,567,935,700,082,104,
778,957,204,424,483,598,969,898,164,306,822,462,955,119,773,426,766,583,584,
790,821,718,418,349,500,134,482,264,437,629,714,300,863,393,191,452,160,760,
602,391,032,592,592,839,156,886,451,216,391,159,387,425,282,093,565,013,149,
619,727,414,102,669,344,791,275,817,453,228,351,532,232,427,445,416,649,665,
707,407,031,637,919,516,389,744,233,627,822,530,115,647,261,276,899,999,571,
335,147,269,403,486,465,264,093,066,127,156,693,041,191,457,727,131,336,340,
750,613,268,843,769,163,396,494,144,919,730,433,078,356,855,657,306,220,603,
465,628,784,683,440,282,081,657,438,975,618,090,696,579,925,365,508,136,602,
245,407,131,195,607,992,235,575,923,830,818,354,663,634,188,767,167,968,097,
403,245,374,505,844,353,101,885,305,964,783,458,491,613,329,273,050,935,958,
345,381,163,748,554,750,182,214,062,497,280,137,009,001,705,048,767,388,589,
273,081,645,338,075,561,501,553,941,080,069,855,832,125,822,207,778,173,517,
441,003,542,689,066,313,788,479,492,927,042,242,313,913,764,851,352,317,579,
294,125,562,201,286,442,717,634,887,413,187,766,984,693,835,996,646,452,476,
602,460,511,974,775,802,430,531,470,135,987,786,246,264,912,595,413,725,435,
450,209,256,636,746,466,563,761,054,227,362,762,023,766,961,512,753,768,652,
681,372,960,845,477,119,655,600,571,779,442,826,924,219,416,279,542,440,235,
109,577,708,758,102,391,512,753,866,802,992,413,467,306,371,778,541,833,584,
156,272,426,469,664,429,538,638,175,443,833,263,866,764,228,791,265,917,004,
955,282,328,854,388,604,568,404,392,695,973,903,641,021,175,337,409,945,242,
319,411,707,463,616,899,408,762,658,399,325,291,904,899,452,666,489,872,602,
012,817,198,603,017,303,762,244,622,174,594,786,468,929,188,903,257,813,424,
103,980,976,285,914,248,294,541,655,315,666,692,892,958,051,367,307,230,945,
970,208,312,950,374,820,257,143,740,804,218,287,462,213,212,374,246,519,194,
440,734,804,552,942,816,728,176,657,820,000,994,889,390,535,890,287,384,980,
703,312,892,881,808,656,214,731,163,950,144,017,219,111,874,207,561,229,768,
517,982,653,115,548,996,073,915,716,384,994,339,139,522,768,515,297,947,818,
233,078,308,098,585,070,241,304,502,406,908,729,137,038,569,624,513,261,957,
886,231,377,342,005,779,705,344,021,170,496,629,915,744,000,683,046,604,062,
698,448,582,419,374,985,171,264,736,868,888,899,515,584,038,737,716,193,221,
537,452,572,861,662,134,816,517,569,844,433,626,252,983,857,072,610,635,105,
724,896,692,201,825,671,075,351,219,165,088,440,181,430,917,435,838,657,252,
911,254,972,334,599,431,333,923,576,614,715,521,805,887,226,772,962,085,546,
569,705,023,625,998,637,798,754,387,249,658,661,156,881,051,576,087,757,190,
621,964,933,271,576,447,551,596,885,757,852,660,335,698,214,126,123,546,766,
447,639,503,132,740,171,908,288,775,303,991,688,093,490,057,334,514,976,254,
984,310,251,783,572,886,416,544,038,805,372,739,901,990,484,878,792,528,099,
466,804,455,133,646,865,527,251,636,128,913,193,702,127,620,079,077,706,379,
960,414,869,936,283,092,233,310,414,530,951,118,614,725,568,098,111,475,056,
492,662,468,683,629,790,827,948,144,193,921,458,118,714,004,590,436,450,835,
449,870,668,831,905,429,080,733,297,064,264,126,562,953,236,226,741,355,975,
152,690,963,493,609,813,297,342,962,398,262,719,167,245,173,794,504,039,283,
631,738,037,552,519,956,252,090,270,973,036,120,455,038,518,703,479,449,120,
456,516,677,762,840,651,469,154,390,290,304,926,287,020,171,645,395,339,954,
430,956,305,415,195,694,892,734,902,020,305,233,942,126,279,141,148,368,013,
297,153,527,718,630,558,905,795,852,074,435,025,771,868,172,418,180,727,818,
094,451,781,779,762,300,616,170,904,964,636,312,143,002,235,641,850,982,119,
010,908,318,063,788,102,064,091,449,312,861,574,518,825,748,162,624,270,032,
390,111,053,089,098,830,989,346,341,994,678,038,892,129,136,636,653,558,811,
466,711,910,475,296,075,349,388,163,436,157,142,830,023,446,973,842,159,330,
467,324,444,527,183,424,471,451,666,903,519,257,279,809,631,500,672,349,960,
358,182,333,547,842,268,681,864,712,381,121,665,376,702,685,810,903,203,651,
957,839,387,984,061,036,818,620,890,830,847,181,945,251,408,328,946,873,760,
340,870,055,669,520,203,968,563,498,022,880,962,258,794,928,332,470,414,681,
714,352,389,525,926,032,835,437,051,604,103,926,408,703,532,947,963,372,794,
389,953,021,002,911,077,944,632,021,260,286,034,424,923,860,973,451,324,536,
192,890,817,380,936,487,654,373,373,796,274,759,268,779,219,976,819,816,017,
735,338,137,946,084,228,686,821,294,261,361,022,300,370,842,276,979,653,216,
682,968,431,570,795,459,947,171,311,750,191,719,158,965,152,572,343,589,889,
378,649,377,136,838,762,619,107,624,518,986,967,189,610,447,648,395,411,894,
007,263,791,065,296,098,587,579,337,507,948,837,936,754,031,522,071,746,191,
731,705,087,524,362,549,772,099,208,847,544,110,352,455,966,939,750,923,554,
862,324,198,082,685,649,994,652,241,108,026,763,553,377,388,446,880,690,890,
992,722,879,731,566,736,642,675,587,137,243,421,777,863,730,251,379,185,213,
260,504,491,193,507,103,337,490,607,998,841,849,402,427,685,741,569,792,774,
344,794,002,827,784,800,690,883,325,424,392,957,279,140,357,671,097,517,399,
510,247,898,929,112,486,429,880,172,910,864,395,315,745,231,361,261,133,107,
181,430,018,926,277,813,317,806,299,091,508,842,575,938,475,467,317,366,635,
129,594,537,535,128,780,011,073,206,530,623,074,927,570,614,036,251,586,313,
747,056,405,430,319,296,587,314,301,793,765,404,568,153,963,351,759,953,566,
754,484,338,046,685,693,669,145,324,656,734,866,507,380,639,966,998,915,502,
125,882,703,880,356,594,530,300,219,928,297,199,381,841,787,251,253,746,093,
839,586,364,022,807,425,907,016,303,764,936,923,883,259,596,200,725,224,688,
736,485,309,400,347,940,680,370,891,922,138,849,586,732,600,938,349,653,320,
476,357,381,460,836,041,507,657,955,439,959,315,061,924,784,933,855,881,757,
261,077,319,253,783,858,604,725,381,263,891,660,591,295,599,350,247,537,246,
997,892,243,964,589,723,285,969,772,561,203,128,962,387,666,138,378,628,264,
553,661,356,227,013,459,975,979,644,234,525,103,480,115,742,054,736,642,380,
278,314,184,848,487,743,622,813,802,297,742,869,885,216,632,821,703,770,410,
186,751,936,577,999,386,795,251,211,182,553,597,957,345,862,584,670,943,624,
844,777,406,427,301,881,106,123,718,441,630,310,084,889,432,784,044,746,660,
039,094,027,642,734,738,544,587,174,616,126,214,188,159,287,454,321,199,390,
513,426,946,927,163,175,616,146,125,161,947,436,469,573,806,539,559,423,938,
197,312,427,959,992,191,565,780,162,464,233,689,389,701,327,142,813,425,662,
912,640,552,835,600,407,752,769,822,190,417,888,033,027,247,374,104,265,010,
561,734,988,813,316,215,299,695,674,736,174,192,884,736,355,719,254,046,462,
454,620,254,508,258,791,708,372,594,472,187,398,808,477,698,508,784,385,155,
264,085,008,528,713,736,561,957,565,934,485,419,208,752,763,328,229,048,201,
271,172,785,057,187,147,573,115,989,499,311,547,451,382,815,451,700,818,132,
808,687,803,628,413,123,180,929,648,847,079,939,120,975,283,034,123,005,932,
656,270,039,797,657,356,058,248,137,728,349,064,288,680,513,356,947,506,429,
436,479,621,204,585,324,247,975,717,264,127,200,134,178,606,866,873,915,009,
115,141,076,968,712,206,861,458,198,468,464,514,888,505,075,124,964,204,963,
407,241,621,420,547,703,232,728,462,875,994,641,144,932,069,919,243,409,315,
598,214,994,241,294,220,951,862,403,883,941,306,778,101,909,163,967,693,618,
505,069,311,728,973,619,478,774,806,820,494,706,053,501,216,057,594,666,827,
058,082,483,878,846,489,426,597,985,201,412,037,915,453,767,638,488,453,493,
862,346,770,423,237,665,435,898,421,466,043,873,722,606,057,484,463,824,384,
666,916,778,337,094,282,132,176,463,080,726,351,783,655,192,154,373,220,737,
991,484,560,654,003,145,599,014,142,253,371,896,651,136,056,069,984,723,303,
210,727,379,911,473,242,547,079,766,001,612,408,011,534,367,428,605,061,926,
843,105,237,426,173,931,926,859,913,279,986,867,972,201,149,454,557,334,274,
672,306,812,312,523,706,852,846,445,230,047,558,755,009,236,379,561,821,658,
698,239,552,363,903,017,678,940,532,781,835,759,085,655,220,569,622,848,794,
120,571,489,498,948,611,156,534,965,549,799,552,197,303,772,035,980,193,601,
406,405,973,196,936,415,192,247,047,096,662,382,342,948,427,991,806,733,291,
320,997,476,248,575,508,561,393,563,212,319,324,970,214,267,789,243,246,744,
890,214,632,736,445,102,497,013,499,572,619,072,584,820,007,089,027,952,713,
581,468,087,457,839,413,342,061,476,028,397,380,616,335,824,494,542,998,778,
979,935,310,212,332,180,594,961,248,831,742,752,692,975,505,535,841,905,029,
222,745,879,865,269,732,412,266,747,713,248,294,473,649,553,896,811,649,379,
279,110,451,707,585,017,325,988,814,218,530,853,807,176,150,124,057,912,361,
182,296,477,227,173,634,703,021,840,526,914,095,215,267,686,648,973,030,076,
199,886,959,747,222,598,783,202,459,150,319,326,291,867,247,468,576,658,195,
304,805,069,092,366,627,901,193,363,609,901,509,451,363,247,208,482,099,444,
348,892,979,432,013,765,446,702,769,863,692,029,734,246,811,123,811,456,414,
080,616,020,710,646,705,839,605,838,844,566,149,307,356,843,437,048,048,687,
923,925,535,923,291,875,647,936,618,615,981,885,953,399,269,240,230,706,990,
526,069,902,322,579,613,090,031,511,393,563,105,312,989,611,056,487,058,095,
639,219,672,180,647,503,052,330,286,884,161,572,016,524,235,367,412,876,301,
457,055,286,614,829,002,036,739,617,514,695,620,688,330,218,550,199,027,470,
053,705,691,581,469,008,641,649,710,148,433,090,383,669,756,948,682,234,223,
089,757,450,120,806,821,698,615,025,223,613,735,391,727,395,723,676,428,879,
896,046,935,251,655,943,899,190,215,700,250,613,019,352,978,464,731,541,212,
509,939,473,630,294,530,892,140,870,563,777,417,472,745,054,385,565,673,152,
189,134,661,688,748,903,610,128,192,177,263,240,085,241,283,812,097,513,164,
170,921,925,381,172,233,971,152,832,332,437,291,577,430,287,043,881,688,609,
208,920,471,196,378,154,124,598,922,169,906,542,973,396,216,005,552,862,703,
441,991,148,509,839,984,676,980,731,546,237,035,658,181,791,562,363,237,538,
486,922,507,322,935,719,783,836,427,979,021,690,390,001,882,042,244,450,050,
246,940,639,829,727,179,552,490,337,715,111,103,629,636,604,037,963,835,791,
472,382,367,226,746,593,014,200,886,501,872,099,339,947,372,571,035,324,159,
634,711,004,832,030,593,583,200,026,938,531,715,971,272,257,373,321,004,042,
138,580,066,546,057,571,747,438,440,616,216,631,185,808,873,230,744,084,827,
598,304,025,041,754,242,124,601,489,692,697,369,052,986,171,188,239,493,137,
810,430,373,917,680,335,678,886,746,763,674,903,361,288,070,705,059,148,958,
673,772,099,545,749,721,574,083,768,934,494,980,619,971,428,684,191,158,001,
664,301,020,188,907,774,980,097,496,283,561,346,643,879,088,903,593,269,578,
494,224,903,566,429,832,651,402,014,360,892,372,278,383,386,283,314,187,734,
833,177,640,247,264,334,435,529,407,306,336,851,316,014,008,017,444,911,628,
548,736,217,040,662,971,520,049,317,172,845,811,863,256,259,360,783,593,271,
604,982,550,051,994,140,003,441,214,995,447,061,657,758,607,373,891,337,294,
667,146,816,328,522,545,960,283,255,361,678,163,607,815,595,340,605,346,131,
038,736,932,796,488,041,640,871,673,935,176,432,963,679,766,156,650,114,941,
574,505,297,515,573,660,187,867,615,787,894,046,040,711,471,984,124,993,391,
165,120,263,792,171,865,361,871,013,824,367,329,344,877,368,464,462,800,260,
018,490,109,519,379,209,868,957,121,104,582,562,986,673,172,028,285,756,006,
332,132,929,479,940,333,457,769,935,786,627,112,783,299,591,889,934,354,504,
795,949,792,116,226,332,729,559,217,523,919,356,632,921,532,671,021,175,818,
567,315,001,014,810,867,862,299,419,171,940,856,615,723,293,272,535,176,272,
358,315,588,529,035,615,494,646,825,857,154,495,648,721,116,220,648,844,981,
606,471,444,854,233,579,812,474,269,158,588,178,878,382,431,686,078,046,336,
106,459,837,869,121,692,876,067,762,233,230,000,166,227,623,759,117,907,160,
918,351,820,847,508,968,445,474,617,101,810,244,396,797,800,928,030,673,564,
690,043,901,521,718,117,509,787,458,943,013,334,219,719,783,768,519,270,592,
007,492,608,059,182,288,333,730,292,133,606,822,995,353,404,641,578,762,682,
347,526,037,838,601,402,312,966,201,087,956,289,267,478,864,851,285,577,599,
548,037,269,293,252,375,183,023,639,244,534,401,568,559,688,593,885,226,786,
296,312,131,720,474,648,138,716,219,073,212,577,839,352,914,973,293,620,950,
335,783,199,937,749,337,019,713,590,878,853,530,414,128,542,451,314,197,952,
893,339,088,873,390,116,348,256,175,518,575,998,625,195,179,919,346,484,320,
718,932,992,982,673,010,421,168,204,441,287,929,472,165,594,496,595,051,673,
250,495,623,267,550,558,884,761,565,127,576,850,402,215,558,344,462,466,401,
775,714,617,790,898,591,685,245,179,104,702,073,121,187,175,428,613,946,156,
599,940,272,491,327,374,284,427,940,814,405,324,620,262,510,338,018,677,639,
167,933,362,079,140,745,610,699,220,845,881,384,446,503,067,620,795,212,762,
579,620,743,495,011,319,489,173,797,707,769,334,994,951,924,084,096,716,600,
807,744,897,936,630,289,426,692,278,521,664,577,963,111,777,045,121,423,853,
208,407,954,534,595,525,156,253,937,746,259,069,818,223,566,648,781,793,326,
449,048,928,945,282,796,164,578,637,515,742,680,024,356,896,931,304,996,079,
494,546,518,070,299,235,326,052,258,644,175,447,658,972,004,166,674,239,919,
086,089,985,620,895,308,551,339,821,840,073,433,908,911,573,152,602,146,972,
221,611,428,105,294,618,502,222,782,178,610,285,624,494,691,366,342,883,507,
765,579,776,237,235,810,399,292,870,769,337,962,832,819,363,846,880,032,996,
189,798,186,162,601,454,189,690,313,242,879,967,859,986,657,973,782,199,924,
691,691,136,986,399,623,686,138,746,618,711,454,488,388,029,786,534,450,551,
944,920,860,591,922,165,068,681,604,717,830,566,619,449,160,508,375,379,573,
294,629,271,957,952,593,888,341,135,740,586,383,209,563,020,116,081,111,930,
555,338,924,415,565,816,632,457,856,374,189,884,357,507,609,979,798,753,547,
611,091,458,054,007,028,084,597,993,813,142,163,010,948,734,487,528,723,312,
588,991,244,137,301,926,512,191,633,279,445,475,960,479,750,842,326,476,997,
982,546,389,926,210,034,636,297,083,437,690,251,420,233,138,762,823,734,149,
856,028,556,184,916,222,280,955,230,704,900,375,677,591,195,145,644,651,215,
603,776,866,112,540,976,841,408,965,692,242,402,036,061,141,819,203,614,031,
477,030,647,466,266,110,601,047,194,574,230,155,807,579,062,665,803,298,519,
193,681,218,455,062,717,210,655,581,256,656,854,412,919,061,788,357,666,582,
846,335,444,629,557,222,262,305,360,172,306,831,349,544,243,418,734,009,261,
077,914,395,420,568,857,813,817,506,099,266,800,955,350,237,519,245,197,969,
370,341,810,182,965,343,925,854,401,375,489,764,071,332,900,325,045,103,165,
374,161,814,379,481,405,000,823,827,260,198,249,897,479,656,862,857,894,232,
553,946,148,182,946,840,782,246,486,963,546,811,534,953,304,781,693,780,353,
051,170,145,736,331,747,450,289,824,425,367,071,554,198,666,776,001,201,211,
830,699,258,718,764,285,040,299,755,048,823,780,699,535,272,473,459,324,262,
631,042,889,055,225,587,983,741,887,768,443,088,463,228,766,885,500,503,530,
663,165,265,555,932,901,637,301,859,786,062,502,456,737,814,769,433,986,069,
263,741,147,380,100,968,455,165,318,295,360,976,170,069,450,042,850,920,034,
700,722,909,527,474,304,125,670,432,810,833,329,043,110,266,569,292,938,852,
081,497,854,592,236,383,355,563,382,214,023,879,717,182,667,906,329,646,786,
873,307,615,457,397,169,582,482,208,864,880,810,626,629,266,646,061,650,819,
847,646,081,914,811,358,222,141,815,240,806,649,225,287,323,120,528,316,622,
093,285,552,261,052,112,090,276,391,662,790,760,240,689,121,674,362,011,527,
812,569,711,150,394,713,226,865,935,916,245,078,763,033,271,182,395,358,202,
189,240,482,958,123,128,772,854,594,573,617,039,373,084,249,285,127,595,632,
560,993,246,143,381,802,034,169,650,954,882,684,409,160,288,861,490,452,585,
310,998,290,719,144,753,823,575,009,209,519,218,518,240,703,070,538,341,150,
917,280,959,818,468,143,355,136,558,068,802,079,471,579,375,677,540,281,778,
707,151,990,486,554,250,155,565,851,326,433,288,291,292,397,631,327,127,297,
262,996,195,909,185,301,183,530,943,128,821,763,991,625,429,626,962,947,590,
727,441,683,782,541,573,765,160,014,114,954,903,329,053,334,724,436,342,210,
450,371,436,119,108,201,682,714,162,267,861,671,997,313,406,379,147,949,807,
523,519,021,416,877,968,312,249,776,164,278,409,290,073,716,865,417,516,840,
911,062,981,582,052,057,980,074,153,285,712,162,734,992,294,525,810,537,419,
124,357,244,683,119,774,743,500,806,266,746,086,311,316,023,425,669,388,735,
412,134,870,377,486,504,488,163,330,429,896,813,039,601,090,455,723,793,334,
274,192,599,667,896,378,090,374,540,279,926,727,718,138,580,715,593,754,352,
551,810,632,589,614,607,283,566,006,322,361,703,713,967,125,387,084,110,687,
660,738,054,761,169,722,561,533,648,603,523,528,444,347,457,482,410,619,964,
349,335,443,946,497,072,802,451,362,144,494,581,164,697,947,229,555,352,371,
778,705,761,087,133,033,423,308,656,061,588,750,480,574,711,748,049,673,805,
778,471,953,206,458,198,801,713,044,691,033,516,087,759,466,406,467,421,704,
813,351,949,633,172,014,431,992,836,402,321,397,799,009,290,627,417,819,942,
172,929,707,663,532,290,332,514,052,626,153,072,213,010,613,644,599,896,028,
423,694,105,904,987,453,318,477,964,227,179,626,271,844,079,317,967,616,408,
656,076,466,485,514,647,211,951,360,441,810,052,641,613,653,496,692,897,984,
449,853,210,866,523,386,891,227,926,561,519,104,216,449,127,667,069,592,160,
886,930,105,766,008,109,739,875,511,350,574,663,961,461,132,891,175,417,990,
679,594,421,802,598,273,859,677,087,643,278,484,926,886,577,082,366,705,756,
898,609,433,971,528,696,910,601,395,231,612,187,873,224,982,634,100,204,218,
999,116,750,740,403,266,659,768,446,721,550,627,401,067,769,977,158,923,032,
970,043,722,586,883,269,612,876,755,283,944,807,879,004,066,970,604,840,987,
710,955,494,861,563,135,620,077,062,050,457,648,918,382,074,048,833,132,601,
868,848,183,013,217,630,320,373,540,970,642,056,015,521,870,781,787,791,320,
573,123,305,639,642,803,484,760,791,046,725,326,355,239,972,391,970,321,023,
801,320,192,745,738,803,234,889,080,537,889,629,562,883,534,252,348,738,546,
789,294,251,437,107,717,598,719,935,016,427,191,765,062,568,158,818,335,332,
039,080,532,005,608,437,714,000,263,588,056,150,712,580,148,911,712,289,962,
241,654,159,216,857,420,516,055,758,055,488,725,257,285,243,003,264,562,537,
851,043,248,425,243,716,680,692,551,698,082,078,782,709,002,021,541,024,450,
953,641,846,588,928,634,856,936,665,100,871,583,954,263,956,866,125,775,359,
088,023,159,767,420,201,120,719,451,056,610,519,125,947,097,391,556,096,482,
646,536,806,223,866,871,276,184,265,207,608,052,728,825,299,591,893,217,553,
937,561,205,385,621,833,964,018,490,860,769,338,186,857,680,296,503,788,441,
353,192,141,529,473,824,782,089,240,631,662,661,635,615,274,130,210,615,477,
506,625,976,467,830,939,620,361,306,603,216,419,586,199,486,835,875,886,006,
181,860,730,738,722,257,624,100,032,123,266,793,716,444,889,021,383,930,648,
533,211,521,944,573,164,501,609,412,940,311,412,145,474,302,792,718,777,673,
158,470,459,466,076,774,657,206,813,032,603,754,882,086,851,774,263,830,994,
823,002,993,199,329,977,593,653,538,973,125,962,920,549,609,068,824,375,603,
685,740,830,623,184,215,297,301,459,145,400,852,560,697,398,798,501,798,072,
105,315,600,012,421,028,366,194,505,990,323,981,196,153,843,773,735,451,075,
562,144,152,251,822,326,433,718,946,741,687,914,138,671,796,597,813,525,714,
339,746,466,248,828,990,278,506,220,397,077,124,625,407,575,108,569,660,728,
667,520,455,196,714,136,968,070,638,783,905,504,935,186,446,982,783,951,471,
404,265,039,504,142,963,667,890,555,812,818,285,387,599,675,192,617,305,397,
526,806,322,249,496,076,754,819,567,248,061,392,793,502,325,175,139,278,454,
263,508,733,564,937,774,674,154,552,606,505,719,038,540,215,795,455,894,216,
035,513,454,385,222,147,912,253,696,334,106,251,324,578,128,921,588,319,442,
526,762,798,614,302,085,345,003,409,590,862,926,110,507,028,905,413,199,437,
467,644,808,653,610,170,931,334,795,472,313,488,776,570,295,976,063,774,255,
985,268,353,036,031,225,057,490,160,796,065,513,611,205,183,367,915,716,164,
733,469,786,252,218,756,761,499,726,106,176,652,193,395,240,771,631,021,935,
810,515,877,627,385,190,891,769,937,133,461,703,493,463,640,049,121,809,074,
309,285,499,734,552,559,656,871,078,709,886,930,878,599,610,702,274,440,396,
926,476,150,683,954,485,633,482,653,393,252,579,858,530,553,087,404,604,332,
179,756,985,899,464,322,039,404,822,999,797,689,312,930,017,023,075,651,662,
805,766,720,847,555,962,069,809,342,077,757,988,953,550,126,176,798,986,625,
832,401,328,933,271,346,817,452,212,471,474,632,719,601,457,636,232,618,810,
059,863,248,793,522,792,310,377,678,502,565,136,233,586,981,086,568,101,732,
856,819,005,410,493,323,760,374,637,963,205,841,022,063,019,288,417,514,806,
262,241,121,936,713,099,424,530,780,054,448,173,335,010,173,024,409,244,220,
681,236,212,525,354,721,765,032,547,329,591,750,686,328,977,214,751,250,334,
578,783,240,965,742,133,815,156,445,351,555,420,376,018,724,776,066,947,301,
956,840,524,472,335,200,620,100,915,798,488,816,986,045,460,259,788,686,091,
122,344,857,510,799,556,186,847,275,380,151,709,089,603,348,770,463,371,426,
650,394,801,280,899,394,289,190,957,301,875,301,372,653,260,049,467,307,465,
834,786,160,588,849,700,201,121,639,827,443,031,201,872,611,298,978,074,870,
573,293,665,644,766,210,918,124,345,976,650,537,588,549,109,999,455,845,917,
802,627,807,529,283,714,041,399,917,220,643,568,917,946,608,993,651,985,409,
410,394,969,811,072,269,474,176,696,084,766,795,609,032,685,324,427,182,259,
818,858,870,550,706,926,123,482,104,000,758,165,355,340,837,175,347,178,704,
136,704,214,893,847,788,321,516,373,750,704,875,583,727,750,966,794,440,574,
644,710,185,131,993,638,470,659,927,662,682,382,115,180,522,526,984,058,409,
862,182,875,891,688,165,403,859,784,541,005,810,564,822,354,075,806,572,450,
675,949,658,420,269,546,858,202,413,450,134,821,904,568,116,576,151,393,807,
601,864,683,170,932,798,173,265,695,961,006,237,192,761,365,019,307,276,216,
363,648,539,946,387,036,001,616,590,120,271,446,885,366,490,940,688,473,928,
587,077,378,508,216,354,308,001,040,779,338,896,553,601,832,527,902,224,633,
288,589,968,414,570,905,349,616,383,718,921,132,313,426,687,827,666,515,166,
869,554,183,430,791,281,201,797,519,643,860,920,164,199,192,952,217,620,945,
173,651,971,269,180,812,648,463,189,532,471,297,916,556,054,800,888,862,290,
144,418,667,408,731,781,379,594,599,754,934,375,871,501,279,477,307,203,331,
658,833,852,335,391,753,790,057,390,726,078,267,992,968,378,639,560,505,080,
378,060,515,373,181,516,707,142,634,151,202,279,572,270,225,656,178,135,076,
630,982,260,351,343,616,715,902,222,162,752,836,280,517,821,265,414,786,693,
335,650,171,436,450,450,193,944,475,996,572,326,616,765,830,931,093,675,362,
265,697,401,482,468,736,795,193,873,518,019,401,527,431,307,668,695,366,649,
089,172,053,292,716,561,212,061,714,438,188,952,436,371,939,582,145,475,227,
374,434,227,382,529,025,081,467,795,347,449,254,073,813,500,064,305,842,253,
896,770,481,858,827,174,954,066,897,951,835,515,353,608,588,845,487,835,233,
778,448,757,640,907,825,127,340,191,577,615,775,211,622,453,508,412,673,154,
909,853,252,086,927,711,302,243,878,910,034,798,371,990,237,635,507,457,860,
941,652,671,007,229,515,385,729,445,976,428,576,184,153,831,513,430,057,785,
911,168,769,785,546,513,797,295,160,634,261,973,829,745,647,287,965,455,426,
472,567,755,902,845,132,054,104,684,551,468,712,926,809,360,857,462,312,997,
365,658,966,233,875,051,106,840,308,840,011,773,548,994,082,774,650,696,672,
390,458,104,007,785,568,519,616,798,578,670,008,906,024,705,266,544,692,150,
923,191,831,869,221,090,765,835,504,707,198,677,570,093,898,442,641,460,285,
943,506,825,195,504,744,389,242,708,439,975,952,103,912,595,013,810,064,036,
404,079,115,778,091,137,195,260,960,113,538,995,828,465,968,424,847,852,077,
945,320,862,421,402,414,908,822,655,116,751,475,477,220,782,503,547,702,684,
284,180,009,203,843,121,432,832,427,527,280,627,198,371,867,219,242,778,538,
246,653,693,433,977,571,009,889,493,051,250,677,138,642,004,119,913,688,548,
294,998,714,564,790,785,402,787,874,599,699,696,559,773,135,137,980,975,408,
629,111,725,519,938,167,173,747,879,415,179,037,698,993,189,490,110,269,366,
435,640,778,731,156,886,426,084,259,241,853,318,067,985,019,305,331,307,045,
866,290,320,303,743,030,858,920,111,496,633,338,699,273,380,309,032,264,551,
608,504,596,170,203,535,212,474,431,332,319,197,512,748,700,721,996,120,724,
523,057,064,104,544,005,249,808,114,401,894,823,093,128,241,701,163,233,619,
013,503,358,988,211,849,996,818,584,321,409,394,808,204,856,334,617,128,156,
732,597,354,544,059,623,773,849,463,958,558,434,655,183,612,961,013,086,436,
908,160,168,812,495,269,151,099,605,974,763,513,498,514,790,826,806,255,652,
676,608,086,103,856,264,435,073,604,956,221,530,476,299,112,846,768,936,102,
189,566,229,661,842,418,053,302,343,013,359,406,492,642,610,846,576,606,421,
793,877,899,950,683,556,279,521,194,224,610,671,178,044,315,355,311,251,760,
843,401,002,731,878,523,548,780,994,766,241,898,356,839,528,677,137,258,572,
668,207,099,148,889,089,354,054,132,253,615,556,113,894,126,158,117,620,523,
321,330,581,551,308,387,169,733,839,001,611,947,643,201,344,361,672,909,759,
910,219,639,386,057,218,849,204,588,497,448,815,012,640,741,416,668,269,080,
077,466,915,083,389,426,975,733,303,025,928,789,180,311,833,614,629,153,868,
185,427,513,741,630,534,414,874,236,845,597,472,531,449,761,859,400,109,222,
247,102,139,774,799,825,130,725,426,431,656,978,478,725,482,394,873,052,564,
389,572,512,448,266,135,780,363,591,950,622,276,042,161,757,209,470,204,231,
587,542,058,589,072,361,090,214,256,656,737,813,349,442,974,571,926,771,301,
875,922,067,455,694,308,949,634,570,031,301,767,688,387,168,135,265,033,374,
121,135,528,358,044,935,330,568,825,980,141,054,385,445,664,137,113,062,095,
086,606,478,837,125,158,167,331,540,305,058,830,580,580,884,669,306,100,524,
859,710,431,667,994,939,091,941,789,301,863,839,966,162,531,305,217,642,082,
252,593,047,340,691,121,333,669,770,080,627,471,944,413,386,109,114,621,096,
323,263,908,679,947,887,738,164,947,162,330,937,882,401,373,121,883,382,681,
521,829,513,492,839,545,037,082,325,240,626,571,839,132,502,941,637,830,842,
807,151,660,340,139,188,275,495,023,992,593,381,422,418,393,544,368,191,694,
814,781,604,821,794,483,662,982,750,557,677,111,973,702,582,329,882,614,408,
146,360,275,999,548,806,001,458,002,580,196,701,941,855,834,467,819,504,120,
789,584,791,471,840,884,025,620,932,192,430,362,945,643,808,629,398,219,353,
436,529,259,826,266,160,608,209,245,182,798,246,600,434,823,232,904,964,147,
258,917,960,539,724,479,594,471,015,652,948,712,089,079,665,405,914,003,173,
372,348,212,069,928,178,277,880,299,941,104,101,305,639,468,853,171,518,926,
229,919,173,609,168,782,648,695,520,413,955,510,627,152,385,868,252,201,571,
396,852,000,774,376,802,803,903,199,204,927,619,043,841,231,649,518,384,557,
413,083,672,559,495,605,556,251,182,096,702,318,636,044,315,501,057,565,375,
671,284,827,859,837,137,359,350,707,706,955,563,659,518,930,450,551,387,969,
244,349,939,928,907,301,485,810,668,281,980,412,047,707,715,396,411,177,479,
875,163,949,582,804,351,826,673,356,994,826,654,711,787,935,781,954,259,679,
072,782,716,754,186,117,753,273,132,325,497,778,340,668,903,427,078,706,981,
412,077,650,344,171,091,937,465,330,613,302,862,682,579,547,481,286,897,576,
921,069,920,629,337,756,860,328,605,968,535,632,769,577,011,849,398,905,605,
750,454,305,408,162,454,699,337,435,180,060,245,843,607,229,688,199,011,093,
729,399,620,195,723,413,401,444,286,089,932,845,844,864,245,599,829,594,780,
744,685,200,768,914,328,637,875,980,325,401,877,791,186,335,149,605,699,360,
112,334,015,135,827,429,942,459,486,695,089,329,091,658,115,888,946,930,693,
952,343,779,973,151,720,443,520,041,426,465,338,908,482,210,358,266,707,261,
299,247,755,089,386,713,292,275,393,935,844,911,678,642,479,555,352,667,230,
977,508,667,360,796,624,381,913,218,444,164,549,679,945,177,992,080,192,133,
756,322,998,435,518,738,269,221,736,541,087,235,752,837,388,578,757,748,527,
267,135,803,868,180,682,014,221,168,855,629,740,078,016,152,141,028,308,327,
951,014,174,484,644,004,868,735,747,716,363,526,861,682,695,094,897,819,759,
566,000,335,278,617,268,540,026,668,250,769,430,201,947,253,898,308,396,570,
858,373,601,916,877,173,048,487,124,839,835,942,051,258,262,770,218,827,498,
319,630,147,962,826,350,761,716,432,969,104,747,411,423,240,746,905,888,453,
324,700,988,071,029,661,350,042,313,475,649,953,371,569,470,239,316,457,448,
231,420,887,431,450,738,826,194,344,255,117,682,961,288,698,462,514,774,910,
868,492,917,379,822,234,555,927,373,834,316,466,294,648,350,339,370,854,697,
997,321,104,780,434,449,371,553,982,156,873,305,962,971,926,815,731,614,752,
773,111,397,612,153,204,461,224,866,991,633,122,587,171,598,501,205,039,650,
423,358,903,358,826,219,757,649,270,424,883,394,246,113,627,160,946,827,943,
871,373,586,632,028,434,534,025,134,174,024,642,580,638,166,287,086,315,331,
993,021,144,569,776,988,646,960,521,510,682,446,055,740,625,693,421,452,141,
504,152,173,334,803,014,677,568,003,817,057,912,064,804,372,798,646,173,720,
418,651,856,986,238,652,043,931,271,530,769,801,916,152,979,326,743,225,918,
249,216,024,534,837,296,986,750,622,401,512,073,987,486,412,810,937,022,913,
630,498,821,807,410,201,691,603,421,727,976,383,843,376,976,771,973,116,948,
776,108,325,790,918,962,525,592,109,751,304,706,882,405,614,887,872,066,099,
672,964,020,606,915,766,234,300,341,235,430,986,783,474,283,312,315,898,102,
635,321,885,817,547,893,407,318,156,840,680,917,623,270,582,249,646,083,396,
368,229,354,443,211,683,360,089,713,542,843,380,552,660,549,364,156,349,169,
166,970,097,510,644,353,911,373,767,450,783,261,179,087,261,824,270,194,268,
995,769,346,747,592,552,562,975,215,887,940,832,619,860,654,695,486,548,714,
394,171,526,206,310,729,932,382,426,914,291,002,673,711,904,389,462,055,819,
013,807,998,604,980,995,156,312,451,279,866,914,791,557,373,975,418,453,244,
610,655,295,018,533,883,519,235,318,465,721,702,696,538,550,790,357,857,182,
837,445,893,448,472,576,932,299,805,468,720,370,295,705,077,961,024,289,390,
046,512,520,188,600,059,340,246,139,684,830,093,702,857,512,229,695,695,886,
626,193,970,851,530,962,777,925,460,689,613,311,435,749,470,580,025,627,936,
769,193,540,699,881,683,944,234,141,428,477,678,852,016,884,667,675,355,912,
353,745,907,140,173,731,475,506,253,305,356,569,863,490,671,041,931,028,840,
318,650,461,547,749,975,216,431,134,849,561,005,516,464,885,585,427,138,231,
117,924,384,621,020,520,431,002,602,771,648,736,529,591,514,120,233,756,530,
864,417,829,148,221,645,184,096,997,860,369,602,664,266,712,417,690,563,382,
036,390,901,851,587,155,224,661,928,885,516,677,406,608,370,133,793,262,495,
227,220,696,909,918,580,296,577,172,273,715,795,196,840,837,739,097,722,157,
352,797,397,472,119,052,175,609,378,625,284,281,653,570,140,637,279,960,281,
919,166,928,984,477,779,810,969,564,585,006,353,537,643,397,854,991,361,179,
870,287,751,994,392,223,531,156,430,830,454,283,643,482,283,397,127,429,564,
097,032,036,455,369,474,184,147,112,752,568,771,371,638,277,107,864,302,131,
689,519,742,408,273,188,798,463,814,579,132,039,088,076,914,136,636,381,578,
363,938,758,157,536,650,621,380,324,155,397,699,934,943,582,792,228,441,424,
039,581,700,077,974,700,465,330,625,097,721,882,095,643,652,091,838,445,918,
648,184,602,984,786,691,239,929,273,749,777,353,142,482,380,366,359,787,139,
207,170,262,077,001,033,476,827,666,381,641,772,283,839,085,660,203,182,062,
382,629,106,614,661,210,207,009,862,738,827,020,678,004,915,822,891,173,490,
668,268,443,178,502,315,141,709,974,148,672,902,235,006,173,532,507,116,080,
510,866,402,557,467,166,184,067,582,956,156,198,447,236,620,002,410,730,938,
513,618,518,022,417,218,737,685,580,711,666,386,325,362,548,018,760,348,954,
836,656,606,811,255,861,379,937,018,682,801,156,914,974,580,227,384,060,203,
327,890,216,514,538,213,617,429,437,306,697,953,472,119,559,586,782,155,509,
167,670,637,751,204,867,720,320,923,608,130,809,248,210,093,034,420,730,015,
331,489,367,704,586,168,696,882,619,449,312,343,416,146,757,982,166,579,986,
589,730,327,555,660,265,897,588,470,342,214,102,367,980,049,118,263,416,516,
554,375,991,237,660,430,970,216,572,520,150,035,545,713,658,687,530,114,444,
902,029,142,632,001,188,506,362,689,926,266,646,666,429,662,813,977,504,579,
257,596,076,405,148,909,249,304,076,318,833,767,953,098,885,198,147,180,875,
145,344,846,426,807,017,153,286,491,724,808,092,721,508,356,171,194,893,699,
952,315,088,674,872,925,012,390,335,058,463,407,442,565,806,388,641,403,412,
843,330,418,488,390,545,028,946,006,640,761,732,528,112,287,517,512,609,477,
676,843,732,134,571,304,521,872,557,042,596,809,681,372,550,984,492,882,424,
580,835,231,406,373,189,876,444,477,331,372,024,868,883,685,716,873,779,163,
738,970,545,525,144,564,554,947,512,269,784,890,461,735,486,095,855,686,986,
461,893,006,280,773,339,249,554,693,101,936,830,059,378,187,200,278,401,253,
325,036,889,368,714,751,856,377,883,014,870,911,622,962,749,406,643,471,236,
863,766,938,617,763,258,363,752,755,085,565,350,169,360,194,208,960,531,473,
647,329,273,060,985,355,555,548,913,159,177,641,307,032,478,469,646,806,573,
532,279,534,209,797,804,617,531,408,312,876,394,448,134,772,010,361,749,884,
532,139,866,867,247,391,506,899,790,407,002,181,340,887,772,842,778,860,422,
083,136,945,087,285,366,391,120,711,156,844,489,416,445,209,780,075,221,625,
633,907,754,874,924,062,199,773,600,032,850,671,676,179,162,034,351,109,354,
335,773,598,131,867,878,847,673,509,831,545,103,579,741,365,856,654,204,247,
303,647,398,529,936,126,874,388,466,922,680,778,691,512,505,556,166,867,491,
578,113,387,462,045,957,988,187,384,098,721,650,745,876,654,166,630,187,846,
303,378,440,950,025,039,906,965,097,122,937,212,255,076,477,187,199,760,839,
873,982,144,246,010,402,048,420,577,732,916,045,856,506,200,346,031,652,787,
875,904,908,449,436,480,608,714,365,483,555,934,804,436,137,042,854,033,061,
051,210,589,281,308,268,845,225,204,806,746,725,599,629,902,856,840,815,869,
981,239,206,466,334,373,744,065,525,952,801,602,553,301,709,703,284,537,940,
380,515,341,740,839,530,848,532,983,213,052,482,929,009,459,164,670,010,675,
186,762,173,582,208,677,355,622,320,863,789,455,007,698,000,896,796,578,210,
119,674,374,006,580,318,088,417,114,785,467,119,553,794,127,371,095,394,227,
630,997,059,030,973,912,832,853,141,545,219,908,544,721,088,405,690,370,861,
886,630,645,154,327,434,775,816,320,510,471,944,637,892,082,405,852,574,699,
920,930,471,309,945,631,007,660,998,483,305,362,361,528,316,349,841,519,233,
639,304,106,118,398,599,667,363,046,213,837,663,689,493,751,046,586,401,169,
990,968,116,326,208,869,583,232,062,214,235,223,106,953,024,236,602,125,275,
808,709,382,207,932,926,341,153,322,008,292,729,068,448,295,884,425,002,577,
147,575,680,682,414,685,810,846,904,425,115,368,487,264,055,086,130,733,761,
197,114,435,989,527,424,558,746,250,002,253,198,053,019,151,891,346,986,241,
132,569,721,878,770,014,311,197,648,658,022,865,381,216,009,950,560,736,543,
342,657,610,464,741,452,795,644,400,578,400,857,493,032,305,009,106,890,173,
347,966,144,516,587,502,061,510,271,214,367,036,796,138,111,822,773,989,701,
754,089,942,828,818,145,899,621,349,936,764,023,908,978,520,870,951,021,177,
931,351,418,502,452,746,706,319,248,836,960,639,893,393,365,321,626,300,209,
853,030,298,003,543,712,478,001,347,326,510,013,199,078,681,712,321,825,463,
566,523,316,971,001,865,911,598,082,005,517,225,212,772,397,467,329,130,699,
231,837,321,879,268,535,898,813,246,683,638,903,380,413,934,429,707,229,347,
229,620,015,329,982,498,302,119,333,993,376,482,306,614,568,900,308,761,445,
263,831,187,175,975,773,326,838,377,008,450,743,750,978,274,885,836,832,000,
780,137,722,642,469,645,335,601,442,306,955,465,574,309,157,945,160,193,424,
367,424,783,028,233,085,642,569,288,758,666,890,345,005,735,892,994,946,732,
273,412,391,936,809,184,284,205,091,896,251,288,416,087,992,090,736,261,821,
059,419,358,842,209,110,841,500,133,710,114,872,981,484,486,808,180,434,116,
916,644,169,908,564,134,858,260,677,920,940,345,578,734,915,259,951,269,982,
717,503,617,944,058,327,445,246,756,242,925,821,817,489,775,454,713,281,397,
335,550,722,518,298,551,061,864,768,656,894,789,360,541,715,759,759,194,413,
270,515,645,432,675,670,883,688,374,952,344,160,326,333,580,897,646,031,978,
820,190,055,129,498,435,548,223,165,247,585,233,992,759,749,366,885,349,007,
552,805,269,528,601,777,889,385,432,109,091,388,145,693,403,336,856,937,164,
344,607,165,902,121,346,779,205,682,823,837,633,414,672,007,418,878,230,856,
033,963,290,116,597,994,481,776,961,999,266,479,714,347,475,879,047,072,713,
714,870,603,623,272,585,595,013,225,751,078,107,713,781,046,725,321,557,055,
276,575,434,582,624,255,829,916,218,880,904,563,979,364,227,163,001,632,780,
899,547,932,365,561,729,733,839,956,071,091,754,142,245,213,996,729,238,647,
659,519,220,433,827,687,488,640,379,222,407,768,441,896,366,922,796,690,295,
126,926,380,961,253,197,022,458,316,162,834,801,502,792,270,163,528,664,150,
891,800,211,335,357,099,242,841,115,387,661,137,242,344,731,170,847,485,000,
171,022,753,343,815,177,803,388,516,837,379,175,825,295,577,840,875,920,438,
265,786,910,345,543,138,072,510,696,341,879,493,285,493,279,894,315,711,978,
576,824,841,918,411,017,382,352,510,184,936,590,697,647,291,327,281,304,831,
355,454,417,438,747,960,288,926,759,389,179,828,979,952,856,507,749,200,260,
350,389,432,818,701,486,040,664,213,860,427,357,865,996,698,554,378,661,152,
930,542,559,320,151,735,763,324,009,051,617,784,347,560,287,479,386,458,695,
459,074,634,901,649,932,893,663,781,761,904,962,353,150,444,516,494,097,805,
711,215,745,909,184,260,228,213,781,309,161,905,831,071,195,814,050,444,060,
599,849,047,158,176,716,127,805,283,036,365,424,740,078,463,621,977,722,598,
915,499,397,222,316,809,471,601,107,709,506,619,062,835,393,702,734,425,819,
982,190,004,706,141,837,795,214,437,067,834,697,846,464,348,007,304,931,499,
986,651,223,549,513,162,260,541,799,862,426,521,388,859,923,402,366,945,889,
064,104,431,230,293,575,991,558,087,416,211,949,155,532,694,520,334,127,108,
253,073,805,220,136,936,731,543,457,724,587,147,841,297,547,687,775,023,641,
150,533,855,008,138,451,655,897,069,967,504,626,840,700,154,100,045,265,744,
216,392,331,047,232,225,607,533,532,095,994,758,988,055,204,616,432,651,265,
133,165,183,192,832,356,512,402,829,336,194,253,791,452,129,147,326,208,440,
855,363,425,877,130,891,270,691,781,827,000,905,170,661,479,725,801,104,406,
022,552,667,305,853,390,108,827,834,124,422,896,130,416,573,301,590,643,432,
441,051,605,387,169,476,720,395,554,906,495,684,222,109,413,138,805,952,414,
508,060,424,224,099,927,083,079,660,140,739,463,175,512,095,076,289,092,877,
838,369,656,585,017,809,403,642,315,090,721,672,865,602,074,066,236,590,733,
410,076,234,138,968,421,895,781,286,136,516,314,963,746,884,098,991,291,223,
082,915,390,495,003,787,356,437,496,626,400,815,625,992,559,496,193,879,126,
717,087,996,479,289,157,114,074,636,105,912,500,598,126,908,557,761,738,853,
385,643,965,345,005,972,831,598,780,444,573,544,014,784,373,794,884,388,758,
990,327,213,753,492,421,245,978,477,602,180,307,019,453,254,765,504,816,566,
968,886,840,676,546,134,794,644,075,623,655,940,514,914,993,986,653,273,975,
647,059,497,998,596,279,340,238,820,872,418,778,774,865,239,940,578,704,836,
868,278,478,246,837,116,732,038,644,969,338,103,190,678,049,670,390,605,391,
391,930,176,407,282,355,492,926,438,205,897,893,572,084,614,605,513,967,261,
035,438,506,479,999,310,547,675,764,592,743,002,955,455,855,121,316,468,996,
928,635,669,131,896,782,216,341,209,536,589,667,922,192,659,223,745,910,203,
286,997,110,958,123,100,141,715,809,034,389,292,096,414,541,137,855,481,688,
999,886,637,789,783,606,406,306,299,894,238,448,732,135,391,299,335,372,427,
239,152,306,592,002,206,047,409,371,509,382,568,671,530,728,321,652,463,232,
768,912,266,907,486,230,309,907,942,662,178,621,642,376,261,696,470,697,140,
591,721,871,479,925,807,423,472,376,395,638,793,957,011,409,496,732,201,246,
687,223,660,508,038,448,453,432,221,019,615,892,601,499,986,990,991,047,312,
393,185,375,401,603,401,408,493,265,486,459,498,711,006,419,107,348,320,178,
560,973,144,835,849,444,586,741,021,841,104,665,875,418,430,154,691,360,752,
431,326,852,060,020,989,720,923,269,254,956,210,033,361,964,114,303,856,372,
724,000,988,441,694,108,032,544,559,750,186,545,795,237,906,205,431,908,701,
193,753,726,139,861,618,569,554,377,817,200,227,920,491,669,391,363,451,846,
425,493,003,828,270,230,334,682,926,241,750,845,941,139,589,887,133,285,768,
089,340,385,375,476,246,318,638,875,983,020,163,253,405,710,743,584,578,899,
302,561,465,294,286,653,910,724,854,521,571,277,322,169,240,458,751,742,460,
715,204,535,450,538,891,267,732,978,502,447,328,076,550,989,665,783,639,028,
507,306,579,274,473,021,445,558,077,491,420,179,247,240,136,959,292,768,076,
230,188,172,963,044,671,190,379,935,118,042,122,886,843,745,245,196,213,082,
886,370,430,040,810,740,249,776,795,850,728,033,959,154,111,654,201,672,027,
763,891,107,242,381,882,285,592,730,410,440,006,489,836,164,154,253,598,617,
042,057,547,335,550,226,274,269,264,411,376,910,934,089,406,837,475,985,052,
949,245,863,473,236,274,957,251,157,375,516,099,620,917,890,390,610,161,852,
440,629,216,353,754,378,080,135,508,310,883,147,525,278,238,566,073,656,134,
261,973,762,304,914,906,466,319,828,084,720,423,944,657,321,464,426,968,660,
818,516,297,911,087,745,740,578,113,301,037,102,806,023,865,816,152,051,066,
144,868,657,370,269,375,403,681,457,194,702,666,857,951,566,882,587,728,717,
138,760,653,474,432,747,421,137,779,882,348,211,198,347,435,185,804,246,603,
324,813,490,492,309,488,833,797,443,018,121,423,164,482,078,949,588,410,827,
388,096,487,593,896,103,958,219,404,269,232,607,583,455,202,299,765,839,229,
457,269,802,888,618,948,395,097,052,550,460,771,413,084,461,136,721,565,612,
653,034,912,710,127,961,120,186,471,669,955,016,977,668,063,969,707,086,437,
874,356,806,589,255,694,271,895,110,290,785,660,434,396,861,471,257,197,960,
346,679,946,237,565,127,384,215,385,357,638,620,228,135,485,375,758,109,295,
943,387,367,663,589,323,554,617,678,128,915,340,728,355,258,919,147,596,622,
054,053,441,539,773,538,973,068,061,639,134,468,642,511,129,918,221,625,993,
337,737,379,133,905,997,972,883,674,528,581,742,907,346,653,379,752,911,879,
251,406,285,728,009,307,790,523,841,624,013,005,830,865,627,162,256,110,749,
559,644,428,293,374,473,805,129,244,900,951,371,134,692,617,959,563,145,362,
284,008,993,713,818,321,526,197,690,258,312,012,966,691,835,139,480,696,533,
105,954,306,866,109,954,739,021,738,653,088,248,306,644,423,809,302,322,020,
736,989,854,752,226,044,467,600,005,117,772,771,289,537,826,748,613,373,442,
422,986,794,043,814,794,829,982,880,009,728,968,467,162,514,359,299,728,208,
218,618,360,424,995,553,488,781,005,525,574,408,694,153,642,253,869,398,980,
979,149,289,095,765,412,711,867,015,099,908,907,719,393,786,634,138,599,892,
316,690,229,590,901,089,189,730,953,059,392,522,981,989,932,504,295,878,682,
765,147,226,202,369,231,355,823,458,605,366,860,463,874,728,563,075,012,220,
766,610,427,696,573,715,129,662,391,190,939,684,201,551,012,664,595,753,373,
994,509,107,817,324,723,296,303,263,343,323,587,343,952,686,776,154,074,562,
750,553,575,173,463,272,212,013,973,553,872,149,091,941,715,507,424,205,014,
741,395,266,992,012,114,447,585,481,393,425,704,891,530,988,384,015,634,805,
404,014,378,839,868,523,178,627,040,354,972,046,663,994,020,665,040,963,878,
334,897,220,280,098,544,954,766,354,903,410,793,684,095,394,959,989,034,953,
202,033,331,496,476,118,959,377,203,575,194,375,726,728,867,566,258,707,931,
650,575,522,051,178,506,402,486,520,831,706,521,556,241,439,388,635,212,461,
965,933,496,419,370,101,534,202,230,756,197,613,436,189,641,731,742,330,693,
297,826,109,118,897,021,034,124,019,033,355,513,059,012,221,191,726,651,422,
172,079,075,132,485,103,766,572,624,240,168,232,852,477,168,319,724,868,152,
976,920,459,215,640,789,506,210,440,862,730,587,688,198,019,034,750,996,332,
491,825,966,191,698,983,490,026,523,330,975,541,786,781,536,869,143,527,051,
515,022,712,815,108,451,105,769,173,996,596,318,098,806,676,936,703,525,771,
793,200,474,645,654,566,096,294,330,050,949,910,136,870,790,513,623,688,603,
069,150,928,711,878,785,974,571,455,728,323,042,042,914,833,117,683,290,346,
910,514,073,860,683,506,473,504,718,467,593,238,068,807,167,741,244,958,458,
621,139,041,559,417,568,516,111,931,102,070,461,813,533,727,911,883,036,686,
529,343,992,769,968,000,082,060,151,453,275,857,708,008,517,872,695,482,155,
752,789,221,183,937,711,495,928,579,094,701,174,682,335,507,758,666,984,979,
010,775,227,435,594,012,531,295,300,494,787,054,958,331,124,521,776,425,494,
255,534,896,592,785,120,415,051,050,966,128,114,952,244,501,894,180,068,729,
431,304,288,522,328,079,978,792,125,969,524,722,158,087,733,435,317,048,453,
851,303,557,817,679,087,243,888,429,603,375,054,402,340,830,263,641,007,867,
038,828,277,342,594,377,732,303,262,385,289,534,687,185,677,047,425,896,075,
185,809,502,971,862,802,885,470,864,294,284,032,695,903,134,115,216,191,122,
412,221,350,452,546,332,389,943,165,283,529,493,172,692,098,310,620,441,101,
057,163,290,742,220,180,575,307,441,588,996,443,566,972,521,268,080,164,284,
400,934,330,215,124,151,238,821,608,130,485,698,120,473,422,555,655,531,857,
596,876,509,352,362,265,563,518,064,375,082,366,606,125,578,215,166,845,719,
075,406,330,604,412,102,445,919,034,104,196,184,476,402,797,595,112,881,484,
650,208,938,372,632,674,016,604,717,884,660,328,584,029,937,827,636,427,533,
143,402,788,358,817,167,972,090,864,459,813,681,840,516,720,918,014,758,130,
950,658,601,512,183,632,496,586,997,134,693,221,319,736,218,226,503,180,053,
322,504,563,782,361,693,098,189,188,885,929,783,998,085,088,132,314,361,564,
460,645,523,849,808,118,330,157,614,649,069,480,103,695,134,676,332,630,161,
626,546,254,906,836,365,993,809,131,426,663,139,557,823,993,256,461,585,429,
589,336,333,155,745,471,998,717,229,226,565,112,836,681,282,265,694,987,287,
110,814,630,741,135,239,751,463,047,124,439,396,503,330,368,718,724,156,116,
463,348,223,261,936,424,529,128,485,981,260,078,189,220,428,703,305,925,673,
012,548,827,837,335,824,962,997,252,054,962,082,798,179,624,391,575,245,328,
843,834,055,109,996,048,759,326,905,059,465,572,390,733,572,216,542,952,014,
304,966,754,556,985,037,898,157,066,868,914,968,834,938,394,253,332,333,707,
967,763,465,980,911,377,525,951,708,588,204,895,631,703,951,039,235,217,390,
289,290,647,593,102,748,451,419,848,140,702,590,093,808,782,849,905,591,137,
565,068,998,134,129,173,487,438,879,128,412,105,953,998,405,902,994,156,031,
613,922,596,413,686,103,605,851,881,715,462,593,141,020,686,257,635,414,355,
298,411,888,867,160,068,875,672,386,817,417,538,517,759,953,315,610,282,857,
922,074,041,073,703,678,272,064,758,671,949,973,663,175,738,732,083,460,884,
014,453,375,984,832,651,603,778,920,392,947,671,297,374,690,211,787,474,904,
365,464,456,992,445,048,265,911,551,414,529,131,713,344,229,825,357,452,883,
064,334,982,278,774,513,517,682,888,117,179,453,888,105,940,361,916,879,805,
490,523,311,726,364,404,348,560,408,155,307,502,875,610,643,289,186,785,403,
595,838,010,245,898,145,805,366,037,285,117,424,335,980,866,046,110,914,423,
943,991,659,574,890,170,731,507,460,270,333,718,695,757,209,045,128,793,653,
442,845,099,353,519,832,243,358,732,394,568,906,019,332,056,249,064,616,886,
358,661,894,675,297,052,079,976,801,871,944,996,274,848,741,284,965,185,359,
154,835,652,408,711,134,389,310,806,213,367,462,926,695,041,466,362,861,110,
469,238,028,219,444,539,933,291,152,434,671,882,794,467,542,826,210,444,966,
686,347,893,009,313,581,352,431,073,449,513,077,917,291,988,100,354,608,879,
803,397,540,141,247,383,823,003,275,598,618,195,711,363,252,239,105,700,778,
797,608,524,086,519,162,064,370,110,190,238,169,223,309,037,277,622,695,708,
592,765,455,546,068,962,301,575,171,826,770,255,823,926,519,959,820,199,507,
806,668,920,087,219,200,264,035,906,366,206,893,938,211,646,555,546,155,931,
350,844,063,373,268,495,745,433,324,961,203,690,108,839,402,990,704,477,783,
945,843,333,204,540,896,798,833,299,093,939,887,372,260,455,118,797,444,141,
712,274,414,635,165,386,697,486,171,629,652,079,221,422,304,450,103,614,518,
415,757,044,199,317,936,541,132,645,653,062,967,879,134,033,374,056,155,395,
367,440,470,759,560,531,108,006,002,057,308,610,396,608,112,138,975,227,346,
256,213,197,346,487,039,614,053,155,328,697,491,202,717,768,708,405,351,552,
670,670,960,955,507,261,147,313,088,460,831,876,767,559,703,038,260,984,514,
519,801,650,422,419,347,204,638,787,348,341,012,495,934,974,528,377,134,431,
887,634,800,421,212,034,972,963,995,565,823,705,660,862,612,265,766,783,028,
417,687,635,599,379,476,701,902,673,041,540,266,103,990,317,839,362,111,125,
712,968,909,182,666,804,118,401,992,648,654,854,241,505,500,645,778,251,630,
048,733,081,523,642,863,724,614,326,925,464,724,642,160,582,675,017,680,054,
301,792,722,220,052,635,476,404,331,719,175,174,444,450,381,876,682,996,275,
533,443,704,671,255,148,433,752,257,274,340,842,520,196,897,492,228,938,084,
171,942,399,336,409,048,375,718,199,517,748,286,860,235,570,703,455,759,459,
812,824,855,014,688,772,517,576,168,977,216,901,886,480,196,244,488,928,093,
252,217,768,057,794,500,768,870,864,203,442,191,087,643,818,378,868,979,307,
971,519,225,256,403,018,047,053,465,626,143,959,325,419,933,887,804,683,586,
120,485,393,984,526,004,106,294,365,324,555,072,204,019,902,432,428,286,552,
059,094,970,017,066,273,553,909,154,707,230,046,370,141,441,024,186,297,829,
411,330,898,304,971,579,669,460,788,947,366,876,869,123,584,546,751,496,008,
552,962,238,470,253,098,849,328,647,353,003,394,839,099,543,112,522,684,344,
052,702,655,039,195,430,457,053,010,706,731,146,299,552,207,816,751,310,604,
199,789,820,994,671,149,171,185,444,060,443,672,026,693,639,156,998,927,064,
954,435,850,662,807,585,038,824,900,381,082,225,883,823,371,262,945,930,998,
459,944,055,411,239,074,191,073,081,062,008,727,552,454,940,316,683,251,080,
498,389,923,925,652,010,682,571,188,491,553,724,327,916,169,613,027,854,306,
798,178,142,830,589,148,761,585,616,359,995,582,946,233,498,411,747,990,201,
128,644,905,267,356,667,175,919,898,966,769,666,408,859,240,816,809,994,909,
987,290,774,555,965,567,766,929,601,736,365,371,565,126,328,010,207,486,179,
249,574,745,223,494,831,639,348,521,954,714,220,073,112,942,107,210,335,940,
862,969,747,277,474,076,277,977,034,328,779,679,153,504,527,320,998,513,512,
923,304,784,159,513,466,062,569,698,015,540,544,485,271,395,903,453,671,368,
686,271,341,951,460,717,402,052,618,666,732,863,465,231,147,953,596,057,238,
972,251,369,738,312,701,415,559,862,567,361,096,043,403,423,944,086,368,078,
133,816,530,360,134,473,355,787,398,441,768,351,618,751,664,553,765,764,892,
213,735,981,410,506,882,352,933,053,588,464,135,494,850,340,777,201,885,883,
738,599,164,424,669,323,114,349,826,423,277,807,619,386,146,759,187,168,193,
483,148,914,434,281,972,248,354,030,405,755,578,023,406,289,820,123,308,824,
009,876,698,213,137,244,406,532,448,679,115,769,279,959,684,702,876,822,922,
894,626,840,527,346,355,893,493,691,586,399,802,881,614,510,304,891,038,462,
579,333,713,667,112,040,794,633,097,587,591,080,334,348,925,375,123,799,497,
832,213,625,148,428,109,954,844,651,489,123,929,917,284,787,475,387,622,309,
920,133,002,816,589,840,065,877,901,857,640,368,226,491,634,840,819,402,671,
660,209,278,948,121,531,496,232,534,545,599,586,780,064,511,062,971,085,962,
527,056,396,708,188,700,772,529,564,459,632,681,053,302,532,629,487,044,885,
448,469,931,211,110,128,477,509,848,374,823,155,029,537,722,027,969,726,310,
798,017,720,566,860,907,613,618,723,281,973,014,464,085,121,029,042,676,447,
220,555,336,193,428,640,728,887,437,890,966,153,133,792,199,856,674,617,729,
676,450,288,153,385,587,830,803,303,272,947,762,152,495,806,015,479,504,398,
579,072,256,674,832,082,293,549,138,830,648,714,271,610,473,880,988,476,498,
832,437,397,660,863,401,676,860,894,483,109,631,351,466,497,508,017,500,164,
515,262,959,007,467,603,024,098,889,779,433,530,375,966,000,924,099,048,142,
433,813,696,502,261,876,101,113,399,232,051,287,310,085,261,387,456,370,224,
926,466,871,756,260,934,409,438,420,034,955,882,553,036,357,613,360,599,661,
329,979,574,082,642,381,963,475,564,205,779,966,856,203,805,845,112,945,518,
642,504,289,325,189,175,303,922,927,466,053,520,316,486,918,198,369,636,233,
822,820,798,180,026,326,786,378,291,406,665,562,478,257,834,763,601,495,604,
531,099,602,074,298,604,630,499,607,450,648,223,873,862,007,121,592,583,774,
840,464,816,901,174,969,466,954,628,375,503,713,276,173,192,267,765,333,167,
769,117,007,372,214,263,184,947,293,827,440,337,677,458,089,704,409,871,593,
586,107,774,992,076,801,761,061,144,579,406,686,176,077,980,197,237,023,391,
333,119,194,065,256,847,227,590,252,752,318,345,440,409,450,333,102,656,860,
235,015,954,072,711,156,282,639,385,194,025,032,199,428,261,667,799,307,986,
909,221,747,753,768,647,968,117,734,501,805,655,944,124,735,117,194,626,669,
704,309,429,217,481,764,467,774,256,514,387,547,964,756,524,816,147,082,456,
041,492,752,665,524,825,979,308,118,561,266,895,680,010,693,817,701,635,471,
624,572,865,631,142,207,656,979,256,182,091,606,781,740,798,167,625,822,468,
454,233,878,429,269,502,136,278,748,266,406,592,643,352,328,208,376,450,018,
524,625,383,050,746,699,137,876,088,992,802,844,955,234,569,123,903,899,074,
604,112,221,670,591,728,839,412,026,863,355,206,512,846,577,899,447,466,411,
441,724,414,437,824,243,043,988,402,478,980,969,330,750,429,687,959,131,282,
410,472,571,954,876,526,650,582,761,025,340,716,666,814,792,428,488,055,645,
989,686,599,187,052,713,174,549,790,297,771,587,552,042,149,309,533,224,931,
283,867,809,605,948,027,673,027,073,332,362,186,989,601,465,159,389,258,480,
359,431,850,056,860,130,609,300,471,233,079,557,527,983,975,161,973,885,361,
865,286,404,837,054,171,319,612,785,086,011,310,591,310,868,829,599,852,145,
382,979,774,422,477,708,764,953,478,896,108,267,320,406,395,076,603,507,002,
816,396,975,112,070,688,145,380,348,566,574,987,832,394,857,239,058,684,411,
177,799,806,452,044,631,951,577,123,001,777,183,565,030,341,096,149,345,752,
376,406,854,610,255,641,874,753,957,204,679,282,722,203,426,977,505,230,514,
407,799,006,878,010,263,816,207,147,446,007,013,844,865,433,982,160,409,575,
780,586,214,499,460,025,800,697,597,984,891,531,934,341,123,766,554,970,143,
015,574,357,040,489,232,698,594,584,633,224,959,117,085,921,005,467,912,549,
366,626,638,609,147,373,057,121,399,238,688,394,767,829,159,333,650,475,175,
691,177,919,399,245,735,687,757,971,624,972,167,733,594,506,804,116,562,890,
236,200,886,863,697,863,540,395,080,256,913,282,672,121,384,650,665,487,810,
836,377,722,405,558,156,482,905,494,947,846,088,931,528,200,659,741,305,089,
136,490,987,049,458,818,568,738,400,611,494,537,737,814,324,625,610,869,752,
546,166,754,794,298,223,409,918,497,118,930,563,598,565,775,717,509,311,701,
213,238,018,081,216,843,152,224,675,436,254,035,291,659,736,225,377,193,797,
006,354,321,716,266,490,642,846,646,736,873,571,875,972,506,212,226,572,121,
646,008,133,671,743,975,892,927,467,407,192,729,660,218,002,066,028,077,663,
835,125,410,497,599,215,714,718,838,660,947,217,082,680,786,185,845,233,299,
804,404,692,747,322,447,319,668,124,119,092,894,817,925,690,601,972,113,372,
829,462,703,158,599,627,379,453,064,147,941,921,754,360,139,214,192,010,068,
348,043,875,740,130,505,648,158,848,837,832,495,350,332,285,427,813,603,568,
645,944,925,892,434,062,421,149,166,200,675,347,585,233,489,048,698,687,935,
374,172,671,823,401,152,258,252,844,913,957,059,656,772,638,419,842,276,923,
708,591,356,605,970,297,217,414,627,277,952,270,796,790,576,465,939,371,285,
883,151,679,498,570,245,319,726,067,384,846,980,973,648,872,700,294,128,920,
031,584,242,655,231,844,956,564,618,736,385,085,262,713,075,945,580,636,640,
323,991,687,841,911,302,322,320,697,182,203,331,514,671,530,283,699,730,344,
279,675,607,047,312,787,371,905,164,491,622,602,046,829,945,587,220,750,233,
256,311,929,509,404,046,426,944,225,682,185,983,919,396,783,754,281,041,016,
259,029,415,471,500,859,493,040,836,907,921,897,954,241,914,226,851,414,502,
974,589,013,647,313,157,158,266,379,863,398,200,644,138,496,326,246,509,499,
530,278,702,988,616,959,076,555,947,088,454,087,639,758,638,358,346,487,611,
054,628,209,928,309,587,160,235,577,867,028,306,135,256,788,052,251,997,726,
898,388,087,463,416,581,283,777,764,319,273,648,886,331,913,297,358,378,832,
270,586,480,913,772,524,820,169,111,776,315,381,305,078,621,646,216,620,440,
147,466,577,460,610,040,922,778,307,525,647,609,806,255,054,971,043,530,237,
677,680,739,318,770,517,784,874,621,584,450,667,001,141,709,062,551,598,622,
503,073,289,928,919,224,450,616,800,242,701,094,258,232,382,422,838,884,896,
481,389,741,746,014,257,539,372,596,399,795,525,585,917,061,423,802,179,430,
443,195,991,004,043,480,138,980,630,907,227,739,304,324,414,091,376,476,223,
270,855,133,611,092,742,254,032,738,483,909,037,242,956,175,365,820,577,784,
366,963,389,279,911,829,583,540,159,750,046,392,489,910,240,584,963,431,542,
573,077,555,307,107,326,698,206,243,880,067,911,412,625,140,474,270,667,158,
007,758,032,533,992,630,062,720,253,173,374,409,120,027,396,489,714,157,239,
626,109,793,269,095,873,876,494,969,815,521,515,307,312,218,997,958,527,039,
950,951,355,969,876,702,113,838,349,601,079,172,263,537,849,024,148,052,353,
514,490,705,669,405,812,087,896,452,058,007,397,779,774,909,438,975,579,363,
847,598,061,731,912,753,169,185,078,361,430,441,764,431,214,520,581,261,039,
871,106,218,019,481,479,288,378,551,836,137,453,227,597,115,140,496,442,604,
866,640,698,823,981,535,888,393,844,751,239,956,830,181,606,970,944,023,696,
394,483,082,468,467,696,523,899,183,621,670,662,673,422,726,478,225,013,927,
908,809,803,392,416,750,816,520,317,031,744,535,192,645,633,684,016,730,751,
175,139,989,740,236,620,989,010,296,138,870,469,767,043,699,281,933,622,317,
038,901,358,045,837,151,718,397,519,581,437,962,052,859,952,089,600,011,143,
083,015,692,040,417,682,909,888,192,726,726,085,359,994,797,111,619,346,034,
237,872,992,433,304,818,406,438,010,997,805,452,974,774,642,217,061,673,329,
668,030,941,423,917,253,675,398,594,126,808,812,807,573,324,337,994,491,723,
757,844,597,845,873,218,370,213,316,169,051,854,777,049,092,911,464,167,871,
257,757,569,833,122,481,045,817,213,909,570,040,822,352,098,968,047,863,253,
387,733,024,608,797,341,031,657,197,065,346,260,215,888,816,024,228,506,715,
788,519,884,865,253,326,043,528,562,752,194,588,944,341,772,196,048,650,497,
318,829,044,812,144,677,724,305,957,711,165,729,742,757,015,910,748,352,263,
658,709,665,988,035,416,744,883,828,300,975,991,996,511,146,556,110,544,205,
730,749,839,973,055,139,893,622,646,272,061,845,739,578,922,051,366,051,668,
330,993,288,069,312,915,143,073,110,618,875,852,965,437,996,969,474,807,768,
496,662,199,030,127,953,687,482,171,578,224,358,719,241,000,503,778,717,731,
400,670,814,522,990,075,452,498,606,486,047,461,576,083,268,891,576,891,066,
323,274,739,106,977,375,827,185,769,938,239,778,177,346,676,593,192,351,752,
190,184,119,978,043,325,356,209,367,655,176,305,585,701,580,868,102,000,190,
585,597,005,960,413,405,560,716,548,669,389,794,400,537,657,757,312,017,650,
488,301,093,936,246,547,591,076,913,646,322,542,174,721,575,651,356,704,042,
074,339,274,460,976,298,294,621,245,883,521,101,657,437,043,372,075,127,865,
135,431,668,698,282,984,150,967,085,050,269,720,129,696,837,089,517,520,909,
513,335,129,111,477,954,783,311,580,070,736,915,174,989,497,189,792,896,154,
929,155,674,176,015,712,779,063,196,387,631,905,516,865,996,438,458,650,574,
676,649,167,896,778,256,486,930,885,595,121,453,673,129,253,090,238,624,978,
187,232,466,489,110,110,239,376,637,905,249,116,747,689,506,885,329,315,628,
695,169,871,702,760,189,027,074,562,231,623,881,592,286,361,652,771,854,584,
127,571,899,921,324,019,733,964,569,244,010,471,537,885,576,628,638,382,553,
095,914,505,055,340,864,078,951,174,101,506,598,614,007,690,764,677,422,502,
431,637,800,648,471,381,588,246,848,326,215,044,313,891,268,135,298,833,216,
301,659,398,581,572,522,943,607,483,484,820,282,468,484,969,070,617,157,801,
786,547,394,027,815,138,394,666,139,203,193,692,552,662,314,882,521,221,216,
866,241,540,750,263,357,749,678,942,110,345,918,723,426,382,926,543,135,583,
786,884,916,186,741,697,474,667,523,623,111,109,496,230,949,259,224,276,428,
161,709,150,803,854,553,635,418,143,879,420,705,554,950,938,014,495,995,350,
537,511,050,040,851,986,470,904,573,129,592,015,978,368,064,195,724,578,573,
603,261,568,056,415,879,023,657,022,496,199,052,723,132,575,038,806,986,811,
920,608,618,602,789,385,088,269,590,982,938,808,815,790,594,826,368,879,708,
647,344,721,201,638,057,888,000,349,897,313,432,830,365,620,076,473,300,761,
810,873,985,664,774,439,838,473,110,619,395,171,850,865,601,032,397,696,384,
489,952,000,194,201,092,177,909,400,032,856,031,391,931,466,352,521,793,536,
170,146,184,004,718,203,578,749,292,677,211,232,209,753,708,994,099,509,953,
785,577,914,939,519,748,788,439,181,820,150,004,399,593,856,349,031,542,488,
997,452,200,569,302,987,502,313,753,084,668,819,846,760,783,384,803,250,396,
378,259,121,759,020,429,040,580,839,515,516,400,293,954,752,968,894,269,215,
922,602,670,259,866,157,957,976,871,623,449,335,989,326,584,702,637,657,777,
070,247,441,281,758,187,579,645,347,357,896,584,457,095,690,787,362,166,015,
374,310,679,280,259,607,073,593,803,492,782,634,458,053,228,525,686,890,017,
002,340,577,752,345,543,752,801,196,277,614,108,864,182,433,913,410,168,120,
085,958,386,612,327,934,180,846,982,631,063,822,851,054,395,399,062,597,081,
872,096,130,050,327,119,618,908,797,017,726,310,435,143,166,568,493,822,079,
320,098,035,999,445,038,912,123,801,923,569,954,660,188,415,003,653,068,160,
818,375,254,605,198,455,949,305,279,598,513,915,398,917,885,989,220,472,542,
022,737,698,383,882,793,905,009,495,624,708,722,481,241,779,871,147,960,744,
697,401,839,432,119,791,193,358,663,070,047,599,785,837,092,894,201,161,236,
431,276,785,225,462,686,713,223,661,091,250,531,285,635,231,355,149,726,338,
088,069,271,780,505,171,854,680,833,585,754,187,123,354,069,582,801,230,355,
765,292,922,283,201,525,720,991,030,224,362,346,592,544,567,764,166,569,864,
815,119,904,292,323,854,905,768,349,942,294,178,600,992,893,141,530,274,082,
772,392,577,692,669,957,704,830,146,121,565,479,130,895,341,186,959,455,030,
395,566,520,151,082,100,659,973,212,243,693,382,744,629,918,696,465,563,997,
206,340,315,241,476,440,407,437,795,112,798,985,523,477,346,005,237,933,780,
231,432,770,775,055,366,027,494,463,900,564,485,557,541,443,699,475,359,288,
415,819,890,085,905,907,505,421,024,158,645,079,857,960,915,425,687,975,832,
504,086,669,656,500,617,222,427,841,246,092,878,385,735,537,882,977,306,756,
592,986,962,339,873,283,629,382,258,788,794,683,833,085,493,031,346,462,972,
871,870,426,163,787,638,728,473,251,449,662,871,974,084,269,674,477,308,280,
039,345,399,113,112,962,507,588,104,946,518,829,754,028,717,061,294,427,038,
188,984,796,322,773,524,490,870,243,645,721,517,778,165,407,335,698,260,921,
159,043,626,770,640,545,460,297,844,992,030,004,540,217,009,497,457,342,925,
599,047,100,371,682,059,037,080,138,775,472,057,673,047,808,576,014,235,683,
654,177,918,911,209,356,090,746,772,785,525,103,993,900,667,766,924,381,497,
528,806,379,259,032,017,527,036,709,051,400,586,724,236,187,261,489,516,151,
556,229,469,538,507,282,139,034,164,965,975,333,864,762,709,470,873,210,268,
048,241,049,744,282,260,806,784,156,426,713,043,010,641,161,754,913,430,447,
811,592,751,559,525,744,343,872,764,900,101,418,500,932,183,937,313,314,541,
479,455,195,452,483,563,590,638,956,646,101,395,715,154,123,826,224,396,138,
270,083,802,554,722,174,161,241,551,229,888,518,995,011,563,712,418,941,010,
529,680,071,133,084,717,710,440,654,450,713,629,332,622,635,797,523,493,136,
443,465,754,050,762,473,344,943,011,036,678,715,983,008,375,658,475,746,619,
116,271,377,667,713,604,622,506,131,374,270,148,549,875,428,518,232,427,899,
660,196,237,469,582,864,739,784,254,260,296,429,839,882,603,226,677,911,645,
345,498,848,504,800,798,297,323,796,784,424,369,092,266,860,101,534,443,440,
955,419,639,075,350,270,803,748,629,216,171,857,387,695,126,727,635,437,878,
735,371,888,337,207,440,721,431,638,860,875,864,025,560,792,764,474,360,698,
636,968,581,464,480,278,074,174,004,245,672,446,825,851,647,744,076,128,855,
476,248,709,534,953,887,879,836,053,534,560,896,203,364,749,284,102,380,749,
138,378,342,654,427,098,584,828,582,348,663,608,475,390,553,604,508,875,312,
031,471,582,270,190,910,204,359,664,810,788,843,419,606,795,328,146,904,035,
642,651,465,929,047,292,624,333,122,919,646,659,306,724,223,235,276,921,755,
980,032,599,718,485,811,103,726,668,575,950,481,213,783,841,952,357,298,613,
163,541,531,827,931,935,845,735,950,239,177,913,519,019,970,197,055,561,834,
349,751,849,026,599,173,030,638,959,615,141,619,081,222,923,903,804,278,772,
248,198,240,104,288,365,615,115,182,060,248,913,302,700,469,464,126,633,160,
810,825,966,037,192,273,842,821,960,427,667,081,220,277,079,663,399,295,531,
446,653,442,612,976,982,971,823,763,241,123,069,578,705,443,271,686,214,417,
086,276,436,516,251,021,344,415,567,453,752,067,148,855,908,012,540,425,868,
061,784,041,149,267,026,788,352,957,556,661,737,063,956,383,491,738,135,115,
773,914,836,011,585,487,561,733,863,684,825,561,398,984,922,239,787,305,705,
389,475,710,488,056,493,510,657,985,232,522,849,931,228,423,675,445,370,416,
266,360,941,653,439,352,859,304,332,075,130,811,736,379,997,348,009,932,244,
583,965,042,385,290,277,513,965,220,181,286,767,375,493,267,690,214,068,707,
288,770,516,124,474,972,965,470,933,107,159,504,030,138,187,047,101,792,496,
525,095,218,424,029,679,940,714,639,074,829,469,382,975,288,352,377,247,265,
875,796,657,347,806,383,341,835,262,278,857,713,806,238,943,812,205,177,425,
269,030,670,541,909,962,370,430,512,010,322,024,647,158,581,626,795,339,987,
259,601,022,719,428,478,580,374,495,140,705,549,925,802,762,712,265,838,239,
720,925,556,329,107,339,714,467,018,896,183,379,525,381,600,226,421,639,716,
459,034,060,132,329,059,773,690,234,032,538,648,980,041,396,419,462,394,920,
477,865,723,616,492,157,875,815,036,754,928,023,869,383,007,016,019,814,750,
445,953,476,571,503,072,384,407,038,525,057,545,449,867,677,056,590,137,804,
027,176,840,874,115,470,554,070,921,697,742,149,422,697,419,037,008,508,735,
761,256,445,656,635,713,982,127,929,324,008,636,138,661,215,214,480,818,912,
679,482,822,029,811,572,170,251,180,392,863,435,307,021,294,093,212,119,533,
269,665,952,647,231,811,349,544,457,880,010,415,230,696,871,656,378,010,928,
795,320,201,395,919,524,985,843,142,597,811,852,485,165,457,318,111,584,698,
755,459,131,021,519,621,348,030,409,574,511,954,651,559,764,595,439,996,434,
523,689,836,639,432,266,410,170,422,408,482,221,675,341,517,030,688,604,551,
446,803,163,793,360,063,404,721,636,052,599,463,640,619,126,051,911,161,906,
623,751,888,877,013,787,872,248,500,030,449,138,739,283,445,929,398,685,271,
090,517,539,568,913,155,517,316,661,159,066,265,321,703,996,492,377,190,466,
931,424,531,999,156,877,965,205,060,061,764,345,884,550,792,907,418,800,109,
178,934,426,215,663,457,512,342,025,599,010,462,715,886,053,212,309,123,985,
588,246,513,762,293,097,340,817,524,307,751,774,315,346,244,506,032,177,034,
696,554,199,929,866,779,340,158,134,888,425,762,972,518,884,660,722,620,646,
252,409,646,382,119,258,157,439,279,069,535,780,684,787,110,417,081,759,630,
606,834,990,098,748,098,683,191,680,554,962,385,041,767,981,107,787,980,667,
205,885,024,302,021,970,205,395,843,873,570,930,251,867,563,377,786,136,793,
322,508,999,053,374,131,528,242,850,439,061,528,034,824,576,954,019,120,251,
850,044,367,414,881,114,379,370,737,185,921,494,640,941,305,510,061,017,156,
092,245,101,388,343,834,936,644,579,993,776,172,782,877,288,635,811,073,809,
858,050,848,914,590,384,605,353,266,942,109,215,032,086,944,006,163,312,926,
263,920,423,112,190,207,175,187,786,709,624,162,775,927,606,201,877,538,072,
409,570,225,325,354,799,925,087,678,508,448,943,346,255,774,908,522,949,323,
778,394,143,769,593,993,421,412,557,476,746,101,907,881,543,598,257,751,879,
266,137,090,422,340,461,604,552,718,852,478,811,878,131,779,912,855,581,242,
830,638,881,011,937,335,553,986,172,702,385,011,804,764,161,535,015,544,898,
859,335,491,886,336,883,918,997,765,007,920,793,154,585,329,053,161,372,984,
188,865,690,985,482,450,109,717,586,398,292,393,048,019,182,771,267,035,722,
057,455,174,243,500,842,226,977,035,293,473,258,479,949,493,155,210,148,058,
799,345,783,571,614,885,917,531,770,069,029,591,138,239,324,508,875,234,343,
152,948,213,479,988,365,524,112,891,092,718,561,262,150,260,449,775,413,631,
894,297,239,276,636,750,685,055,517,066,723,850,584,658,459,432,199,913,763,
952,309,908,398,333,000,733,823,405,967,583,695,342,377,090,575,928,764,132,
071,842,760,582,875,886,041,221,342,097,920,101,319,487,394,634,853,079,974,
362,072,979,640,613,716,962,191,481,473,380,099,597,630,838,825,663,186,630,
406,484,592,707,931,263,662,179,224,436,193,991,829,226,966,304,414,589,403,
071,215,839,096,455,162,218,634,499,963,834,446,396,293,298,779,980,791,202,
320,445,455,515,371,306,754,822,925,835,517,592,039,114,032,659,830,313,911,
578,171,919,080,654,824,640,578,571,239,904,980,645,064,305,398,790,948,893,
482,047,251,578,579,631,716,651,234,390,479,251,212,720,931,048,408,208,142,
798,546,496,621,865,981,373,983,592,458,097,182,471,007,935,439,090,864,710,
038,662,786,904,398,442,456,914,022,005,284,163,178,353,137,819,185,590,590,
854,816,610,774,133,416,803,442,884,365,882,050,592,427,743,189,353,921,226,
337,074,235,589,628,892,899,997,486,311,524,448,754,910,584,919,851,535,013,
309,862,597,878,228,131,419,821,181,587,830,792,751,348,824,845,567,128,911,
760,812,792,601,455,908,988,518,034,306,544,634,156,274,418,743,291,338,082,
588,811,132,094,978,155,757,252,612,257,135,024,573,481,165,453,649,732,151,
148,915,510,579,925,149,083,877,212,711,703,200,717,583,648,974,968,847,032,
217,822,238,551,406,484,023,588,764,526,799,694,749,497,992,645,167,503,956,
376,340,782,847,379,931,894,465,998,761,788,769,420,188,458,674,519,431,285,
453,818,126,831,400,836,800,866,545,068,305,552,327,573,022,581,902,595,369,
998,294,174,628,149,834,190,949,540,430,664,988,844,716,601,161,833,007,116,
095,355,022,536,297,178,586,290,392,219,906,033,072,040,858,165,268,457,881,
028,657,654,760,657,506,558,256,788,423,442,015,568,719,692,498,584,377,560,
639,835,775,812,191,613,538,876,628,245,836,100,687,624,231,019,272,957,750,
925,111,400,257,120,834,356,896,041,335,519,083,703,931,946,589,517,771,486,
019,270,328,623,080,429,543,161,130,533,141,235,421,774,334,508,300,869,950,
352,460,199,282,766,881,677,016,609,767,359,182,230,091,727,531,025,641,172,
703,207,927,153,584,848,078,539,086,936,199,284,123,623,535,926,218,861,581,
648,509,094,942,904,560,110,530,659,215,491,320,533,242,633,466,515,313,555,
937,292,571,693,458,941,586,871,964,936,940,847,233,282,733,365,487,159,859,
444,265,167,610,596,786,004,329,125,730,219,608,921,743,520,376,334,575,302,
192,937,684,372,558,099,822,706,540,105,209,473,493,870,813,478,419,614,252,
778,752,176,901,180,894,342,661,891,617,396,937,080,600,850,712,166,503,126,
151,404,286,906,216,648,312,529,058,834,754,392,387,068,329,050,844,582,632,
179,762,254,739,484,830,379,219,631,344,279,977,593,446,021,712,318,733,943,
812,018,611,797,030,713,662,009,733,472,244,643,522,300,220,445,669,979,349,
266,800,823,008,100,393,548,183,860,555,254,218,504,061,966,527,847,610,143,
347,829,594,273,808,362,461,394,223,347,277,698,979,554,673,411,821,646,539,
112,073,592,544,481,121,030,260,865,187,231,558,406,834,941,676,316,685,242,
712,733,662,625,229,301,043,307,890,534,032,859,690,449,884,690,214,928,755,
483,361,764,248,327,808,110,307,873,818,769,637,287,152,495,234,482,578,073,
699,679,867,030,152,467,758,608,997,778,212,556,861,996,596,117,579,205,820,
853,123,041,483,487,714,061,982,236,594,946,451,191,769,604,383,362,560,006,
433,118,291,150,163,166,243,334,235,437,172,436,533,350,209,771,406,401,826,
908,888,189,238,013,965,999,898,598,338,110,765,086,846,357,321,897,472,201,
879,568,124,451,621,417,449,337,826,152,835,625,283,426,596,883,848,543,138,
384,889,543,514,520,270,458,024,341,628,351,683,969,673,419,390,286,873,251,
581,081,606,969,098,517,849,606,163,477,060,545,045,165,331,687,041,119,560,
395,928,406,222,396,509,460,614,773,749,124,314,642,972,421,917,969,582,935,
849,668,931,861,617,407,835,663,598,380,187,973,050,991,910,677,085,680,913,
609,818,921,769,559,216,667,752,680,553,840,589,989,873,004,618,631,782,543,
609,227,528,030,278,528,214,596,445,149,225,025,327,784,419,360,883,614,218,
158,375,567,599,538,595,641,296,999,084,691,824,864,680,835,578,501,006,212,
027,560,656,398,984,562,596,207,173,430,788,135,266,750,382,713,967,593,525,
757,094,414,744,443,011,629,272,323,747,275,264,815,992,392,929,157,448,842,
275,362,845,666,231,239,393,806,191,553,324,165,138,689,643,369,758,683,897,
450,857,180,674,492,280,370,424,529,554,081,170,626,253,469,195,854,425,574,
551,947,441,536,199,642,677,627,213,750,897,486,553,734,622,012,403,652,800,
672,438,728,441,000,591,094,220,859,915,701,517,939,170,301,252,820,042,860,
645,955,326,646,139,615,530,358,572,908,269,506,486,567,727,858,145,555,942,
564,797,741,734,310,126,965,741,631,034,151,958,257,666,621,389,524,984,821,
047,739,830,052,130,126,471,588,280,171,728,981,697,245,015,608,427,141,891,
818,393,986,455,641,119,623,299,941,547,871,792,363,015,061,010,108,470,202,
061,109,476,571,695,886,775,462,934,387,101,869,777,028,055,717,455,709,083,
371,908,558,358,507,596,431,332,988,404,615,592,736,181,982,644,692,386,320,
875,558,029,432,865,111,998,250,305,554,060,987,241,731,346,641,872,018,341,
399,919,509,866,593,313,071,687,636,058,646,449,043,615,215,240,034,938,939,
281,575,062,669,663,168,307,231,818,827,332,340,112,063,334,323,270,513,936,
783,069,426,486,296,904,771,186,360,987,036,713,459,902,156,234,193,102,870,
057,927,724,469,743,136,550,323,071,105,652,056,328,076,089,246,608,900,581,
389,878,227,462,499,147,546,636,298,507,735,227,024,526,970,661,194,241,826,
201,982,911,273,951,744,433,117,515,686,069,604,586,187,811,441,038,269,582,
159,618,169,946,361,242,991,103,000,891,327,850,407,593,188,265,189,045,950,
195,287,110,388,819,292,837,649,631,505,925,380,566,594,595,785,406,888,347,
133,413,197,680,699,707,425,152,662,255,078,210,236,792,934,298,172,894,362,
002,412,274,080,078,337,582,537,806,895,964,557,076,422,411,994,209,156,799,
632,421,316,794,836,751,953,971,443,324,210,445,133,856,626,840,451,430,264,
920,866,798,138,605,088,311,911,704,799,382,180,941,089,217,320,613,137,711,
383,365,995,342,630,479,311,752,473,420,353,277,629,644,472,908,434,601,709,
185,249,456,919,865,081,660,652,519,530,912,640,588,348,416,662,347,472,958,
680,759,835,221,057,111,015,223,604,787,899,421,566,172,749,091,443,336,299,
437,819,183,287,174,890,042,592,813,224,383,291,239,609,308,226,902,457,575,
758,823,943,374,548,260,352,498,149,734,065,500,608,448,263,175,087,939,004,
053,886,065,358,473,191,061,912,435,782,565,904,098,585,299,392,794,011,063,
539,801,421,749,825,004,325,647,854,762,626,570,653,914,220,288,459,147,188,
251,097,133,385,324,251,761,267,418,121,344,000,391,246,792,610,629,634,005,
181,528,147,000,603,414,634,167,449,474,116,723,903,501,193,531,099,746,181,
560,925,587,871,294,152,622,802,119,754,275,046,903,665,145,756,515,550,582,
240,278,830,392,395,888,261,936,414,946,470,824,243,348,479,063,087,991,487,
631,893,322,633,188,468,032,225,359,272,313,190,537,431,138,227,980,487,256,
994,248,549,684,987,462,334,815,603,047,376,242,925,697,976,911,152,632,682,
243,119,682,212,063,449,361,275,518,733,744,140,756,665,880,885,442,180,767,
087,463,843,365,242,563,026,726,235,469,649,743,761,541,077,105,324,004,558,
901,564,199,758,378,068,469,690,091,986,561,618,313,269,674,619,378,817,891,
006,100,689,795,503,798,450,351,766,799,334,241,363,583,412,778,806,660,848,
045,000,188,784,476,947,330,133,726,348,962,707,736,182,783,715,047,429,563,
540,258,267,595,562,411,347,025,640,886,038,429,418,961,285,124,617,882,205,
602,808,141,180,757,212,590,778,338,501,677,355,344,758,642,574,783,534,869,
464,708,330,580,433,652,316,299,141,086,287,487,805,029,505,699,388,201,364,
339,903,303,633,823,050,065,632,182,105,200,512,893,803,352,632,895,816,249,
393,760,549,086,182,195,981,725,082,541,504,629,393,697,669,227,124,771,483,
296,848,352,567,842,859,909,726,493,911,377,712,495,770,604,892,342,257,222,
228,144,835,326,443,062,628,599,774,944,911,062,247,308,566,466,987,652,702,
059,184,550,687,372,775,951,188,105,550,532,308,355,512,851,932,538,187,388,
200,219,302,893,984,189,939,468,603,894,850,568,084,810,273,196,146,218,727,
806,095,874,874,309,488,507,634,018,029,128,211,854,150,061,892,863,221,860,
954,206,537,697,189,094,347,979,823,902,911,074,068,441,773,664,738,028,778,
562,460,494,288,328,826,506,900,250,131,295,461,128,955,200,964,550,564,192,
255,497,233,519,604,214,724,932,051,658,266,686,726,497,437,383,262,184,821,
033,439,794,468,722,213,749,545,149,642,674,870,553,430,929,395,907,792,576,
944,036,908,394,497,628,731,416,519,632,042,528,275,112,767,537,535,926,462,
302,567,870,115,788,617,446,622,695,744,642,781,216,846,898,922,728,279,833,
669,113,924,480,290,053,606,796,696,012,540,892,282,873,756,485,404,332,774,
849,000,586,102,716,754,239,581,456,282,551,880,955,366,883,289,055,893,298,
357,038,589,089,569,188,108,928,337,549,529,291,351,669,130,508,943,310,124,
453,170,765,178,190,252,590,988,847,075,850,925,351,984,504,851,322,997,746,
946,304,126,298,435,867,892,671,440,159,103,902,046,575,748,075,353,493,330,
177,467,071,835,506,390,578,720,831,488,296,108,279,942,169,263,736,237,896,
799,408,163,229,946,301,716,158,706,244,173,465,512,345,830,792,869,889,581,
853,993,194,183,396,997,823,223,713,428,384,311,425,114,369,928,847,615,970,
624,411,813,635,236,538,601,306,452,483,966,838,227,892,988,486,603,917,631,
575,547,188,569,172,033,735,810,321,871,583,547,643,367,869,202,085,006,932,
267,432,673,026,001,529,502,916,855,735,770,572,236,453,322,913,781,029,157,
835,603,513,804,496,918,899,476,805,242,127,621,653,526,197,759,505,205,051,
086,694,643,983,657,270,239,871,123,003,992,518,545,514,731,618,341,666,657,
054,002,454,649,384,320,398,640,399,709,583,329,030,016,955,298,832,669,988,
399,325,142,726,599,455,150,875,506,234,399,676,736,277,806,737,560,373,765,
078,332,669,063,388,559,202,110,333,304,885,353,052,242,073,643,971,456,030,
170,554,220,114,750,916,015,879,563,340,439,358,940,323,946,088,092,496,780,
701,992,628,027,145,292,944,114,297,984,802,700,838,736,602,446,530,932,767,
872,003,604,357,986,466,807,694,526,064,173,699,676,318,765,268,265,131,306,
267,839,312,320,512,662,239,334,992,799,348,068,151,197,244,978,782,846,594,
414,029,096,891,197,915,811,106,788,264,083,285,472,659,196,900,159,141,434,
716,480,400,187,827,969,221,448,226,336,642,965,379,212,886,329,536,888,903,
387,130,915,382,030,853,252,607,442,531,698,950,191,631,609,597,065,923,262,
558,309,306,722,106,148,194,561,340,819,377,623,098,908,931,098,426,168,129,
153,417,303,461,091,170,624,672,789,754,708,007,599,450,666,789,325,844,332,
019,648,301,643,673,633,323,659,728,959,978,080,255,404,096,203,883,701,744,
579,143,456,494,230,773,731,021,824,027,902,841,519,794,678,033,446,868,190,
490,458,495,607,702,808,606,965,504,855,009,560,505,975,414,621,123,490,141,
992,492,893,077,162,825,870,089,449,990,384,367,276,019,786,850,953,456,465,
078,302,252,129,000,044,295,372,312,333,844,402,910,145,705,995,804,533,313,
658,477,336,642,946,822,316,604,348,939,973,638,584,775,223,002,590,971,559,
825,349,527,252,116,800,704,466,676,804,166,138,997,394,847,745,282,968,440,
795,225,961,378,274,453,734,352,449,397,471,213,458,486,386,290,648,341,440,
902,254,387,303,942,700,636,498,002,675,869,815,660,893,776,564,433,936,240,
997,372,626,661,842,757,222,863,312,375,527,820,351,454,704,615,404,938,278,
173,090,859,990,725,624,099,644,009,255,755,380,157,951,659,365,851,779,886,
956,347,128,465,426,321,037,014,481,238,502,320,176,047,361,770,929,833,514,
451,184,068,254,032,296,280,351,413,384,331,248,552,616,695,746,739,824,196,
654,769,273,841,560,178,108,037,883,305,142,170,582,913,819,789,684,110,679,
778,722,227,022,590,445,161,424,498,913,376,152,832,249,125,982,829,067,145,
083,344,409,538,272,648,157,464,662,666,516,471,322,299,803,916,910,519,205,
211,983,986,117,918,048,858,262,152,482,880,202,181,303,742,766,490,668,586,
730,351,159,605,472,225,913,002,224,840,146,869,818,325,406,013,690,138,183,
828,486,312,707,044,269,719,589,038,922,080,563,447,458,992,599,497,084,139,
228,902,103,669,522,256,039,881,615,275,400,350,424,832,125,670,297,081,219,
123,783,848,557,448,283,954,884,248,842,356,150,616,961,457,767,975,041,038,
492,608,508,169,067,980,321,954,523,835,621,635,292,558,975,492,447,871,371,
170,457,084,159,014,347,497,854,348,532,506,856,532,632,088,553,648,260,374,
834,431,465,029,163,158,934,650,510,149,156,132,991,664,548,453,343,528,633,
199,868,414,485,853,031,713,170,959,181,880,934,462,983,614,383,013,318,708,
747,982,244,411,465,504,099,942,526,116,108,219,191,994,528,890,498,126,974,
671,224,004,536,197,510,109,871,849,451,058,882,797,644,776,482,015,450,411,
564,797,484,219,224,896,247,913,091,034,742,387,158,172,906,087,332,579,919,
952,691,407,896,864,568,813,648,317,719,324,108,544,572,836,464,382,492,107,
268,496,263,767,446,213,505,656,931,334,268,619,573,533,401,836,711,645,536,
922,047,518,000,427,711,676,976,201,015,500,448,348,510,361,517,258,630,845,
144,827,337,752,126,498,189,128,645,395,436,764,433,444,289,986,488,192,479,
654,848,240,678,794,593,290,614,957,547,073,023,676,503,023,835,213,443,045,
617,392,676,553,299,436,992,308,519,234,827,473,424,736,483,421,888,274,685,
302,569,374,325,481,578,595,560,483,510,912,139,825,446,888,068,944,592,757,
089,106,762,641,272,861,021,438,408,027,109,991,437,335,372,381,302,549,391,
710,992,324,733,979,277,734,389,384,559,655,443,907,468,828,093,957,008,939,
580,762,516,172,925,335,635,743,190,974,095,318,951,604,979,049,896,605,815,
144,837,273,484,442,925,085,235,416,665,552,839,789,034,994,300,600,804,854,
870,451,842,939,084,156,875,347,190,157,058,761,970,700,109,805,768,617,798,
044,198,582,268,875,374,938,088,137,561,504,388,855,659,455,887,485,504,455,
156,444,514,035,182,445,146,274,189,494,606,785,060,827,471,051,233,714,613,
020,754,795,998,249,429,616,105,579,767,224,402,546,871,261,288,457,692,235,
684,545,865,400,697,571,976,272,162,853,896,783,243,317,849,147,555,418,356,
444,026,925,198,333,754,780,232,318,904,966,585,187,135,437,654,151,480,551,
813,113,353,726,590,837,977,898,584,168,532,682,173,385,153,214,226,970,154,
140,272,200,636,417,496,883,529,408,412,837,371,478,352,846,086,831,972,648,
640,525,365,512,264,861,116,871,635,211,954,153,375,564,371,066,671,300,153,
472,797,107,727,676,121,651,731,670,547,799,183,825,909,387,188,081,804,392,
188,415,499,123,753,982,617,834,289,012,262,041,802,918,028,607,719,203,743,
081,191,508,494,535,658,801,404,103,511,389,667,499,393,520,412,312,813,087,
500,291,037,202,832,039,979,729,821,645,821,414,989,871,998,102,243,778,865,
585,470,376,261,407,848,827,281,241,694,530,687,771,425,195,690,013,941,964,
713,161,519,106,189,026,165,552,447,982,383,721,796,230,070,303,844,022,284,
031,607,017,797,637,925,689,987,740,528,104,840,125,710,498,733,932,847,294,
490,348,459,426,023,649,667,991,470,538,264,075,121,932,650,696,223,801,626,
782,376,453,002,061,451,211,435,746,796,067,693,294,175,637,397,689,961,128,
802,731,286,500,725,040,768,808,333,441,841,181,359,150,106,448,090,839,654,
998,642,398,841,142,348,424,964,005,688,239,283,051,905,866,857,863,727,771,
610,967,728,760,771,110,226,866,570,995,208,543,577,698,912,196,917,297,971,
822,101,221,120,725,886,934,516,648,434,536,081,762,361,651,880,998,174,443,
096,829,007,991,418,286,627,932,429,049,013,667,915,626,871,588,516,559,494,
797,284,256,979,106,291,718,861,293,738,890,342,339,451,495,788,827,820,252,
396,963,169,422,072,531,668,166,294,627,084,445,229,540,290,978,115,757,985,
443,770,586,907,329,568,230,604,394,484,366,430,826,390,371,447,145,050,150,
787,169,949,698,193,167,988,268,305,259,071,105,744,546,759,335,702,131,310,
933,453,171,005,824,041,982,064,744,056,913,409,282,260,377,172,149,745,987,
147,560,095,380,855,289,127,475,556,481,955,675,247,692,385,470,414,881,103,
479,264,573,944,181,137,229,238,820,931,376,394,064,233,509,647,315,768,252,
677,230,418,521,286,593,300,650,913,913,088,131,466,967,280,398,012,673,714,
937,102,957,474,964,396,429,040,717,037,214,814,926,703,445,262,971,454,837,
996,676,306,124,563,479,433,501,048,814,384,031,903,954,548,237,320,243,753,
915,987,614,937,668,752,773,067,435,312,314,580,650,242,917,304,496,056,134,
049,457,517,690,020,155,661,277,175,003,559,323,424,694,088,869,702,065,995,
922,780,808,750,221,123,369,197,501,951,088,999,583,607,517,937,372,719,749,
277,859,523,165,644,939,088,526,851,502,135,898,911,796,077,763,456,167,385,
151,098,524,997,171,092,972,728,697,281,841,552,353,333,364,347,172,313,750,
809,001,433,773,782,878,835,221,099,953,756,534,998,979,570,067,252,504,887,
170,498,108,919,835,702,878,111,277,547,729,789,435,436,595,344,162,458,860,
958,225,565,150,440,277,688,984,045,110,699,383,053,759,873,750,870,229,071,
518,762,158,884,259,022,361,449,342,426,235,069,570,517,598,989,558,677,214,
097,780,375,516,134,425,503,028,443,527,727,590,216,501,059,263,338,380,417,
866,232,106,790,303,559,511,462,998,929,336,826,378,379,766,616,841,171,225,
919,829,751,273,148,135,072,221,856,103,475,777,804,784,970,768,414,573,480,
884,097,459,209,745,984,452,367,561,067,358,745,344,632,939,934,593,819,632,
702,815,149,147,117,716,266,358,132,720,684,775,447,269,283,571,600,769,977,
965,749,679,207,451,453,872,619,789,122,039,650,079,692,579,661,263,699,720,
332,811,121,160,049,456,528,872,832,617,302,912,051,167,185,199,088,569,134,
516,659,924,145,664,625,468,763,664,534,214,060,987,324,994,048,179,079,055,
647,340,602,188,313,504,242,786,606,720,794,208,944,536,819,367,717,950,692,
696,302,932,226,580,109,394,859,438,824,152,144,028,818,411,940,535,320,378,
986,549,793,205,126,896,220,622,027,217,140,119,934,777,563,260,182,360,864,
642,669,235,552,702,770,559,337,500,290,203,057,336,455,941,986,878,884,501,
709,484,261,734,499,802,101,692,254,385,276,121,424,006,254,898,607,063,882,
471,265,588,094,506,872,714,028,120,214,429,434,492,324,984,433,874,424,492,
050,783,707,279,514,703,058,255,725,145,224,601,722,645,364,634,423,517,889,
016,715,207,731,481,779,779,691,998,659,043,693,549,497,446,393,874,161,363,
522,246,528,712,331,250,742,983,983,961,252,480,467,942,235,089,016,217,849,
870,980,411,499,024,160,108,399,302,902,177,510,731,969,121,150,872,913,239,
274,110,739,688,072,371,575,919,182,246,174,604,415,197,801,051,244,878,190,
800,055,563,385,773,286,405,628,960,383,752,373,304,682,490,560,832,796,597,
854,611,022,895,958,856,070,135,939,966,163,693,641,003,356,237,618,070,724,
497,530,449,285,948,283,242,657,085,723,065,953,159,060,943,153,043,437,457,
186,326,905,652,009,950,883,484,534,015,419,267,009,499,448,976,358,844,882,
532,134,341,096,227,722,979,013,796,102,527,432,551,241,681,919,046,686,411,
537,031,377,735,294,388,920,932,972,768,172,377,826,368,207,017,545,045,986,
028,891,579,242,113,174,215,583,830,668,797,654,679,337,266,334,274,435,198,
471,231,737,447,566,143,420,529,078,065,411,856,351,173,379,642,046,862,906,
660,954,729,395,971,933,607,010,801,819,661,485,584,042,891,805,448,361,157,
948,818,785,325,334,626,131,860,284,457,715,745,973,419,654,065,520,137,456,
419,106,253,687,594,215,477,224,811,156,202,436,737,272,821,657,383,921,465,
465,318,432,247,120,427,848,408,539,117,845,636,439,700,631,666,605,526,836,
811,257,289,338,524,186,578,579,190,964,071,917,142,507,980,290,047,543,802,
113,218,866,158,496,668,414,789,834,771,171,210,489,380,460,049,792,845,733,
957,940,753,859,915,185,438,370,071,647,656,002,302,747,811,780,091,521,671,
938,701,774,328,898,113,206,806,616,384,423,983,994,972,626,138,912,879,605,
470,893,682,310,422,073,600,760,472,065,091,029,618,165,371,692,930,899,548,
982,125,398,882,796,864,169,655,008,939,719,852,578,868,092,352,702,627,430,
816,593,277,709,892,227,105,106,226,523,311,382,033,884,135,512,492,979,882,
719,508,312,888,238,242,225,285,284,076,398,068,937,428,968,712,089,529,621,
901,785,170,110,865,589,854,164,752,245,519,364,839,831,022,411,420,054,405,
565,555,361,632,219,549,740,044,603,173,095,900,279,871,740,919,513,334,825,
118,896,295,442,303,041,785,810,942,547,970,129,159,740,493,029,384,434,113,
710,800,535,591,653,752,743,289,336,811,623,393,987,663,150,930,520,430,956,
359,043,098,351,645,265,649,300,245,955,105,150,087,794,800,047,136,332,497,
041,682,550,359,408,394,004,729,197,279,814,797,627,152,310,332,079,033,178,
314,788,393,179,325,010,445,793,554,599,925,541,433,617,727,267,521,736,033,
792,577,280,531,151,285,321,914,474,615,236,322,755,102,382,488,327,556,260,
695,524,668,644,115,429,623,717,687,441,212,979,876,137,933,089,121,559,686,
413,256,730,805,247,007,931,813,620,279,146,352,205,171,791,605,548,757,314,
739,216,491,751,267,637,282,159,653,062,997,873,446,574,263,886,237,944,823,
910,612,993,216,029,559,003,838,298,468,685,591,674,663,116,259,007,870,192,
595,144,752,116,177,722,403,465,450,521,028,131,228,571,535,467,155,189,065,
158,696,478,107,077,596,590,876,091,307,530,044,929,883,023,447,528,176,639,
766,163,803,637,780,936,604,496,071,797,649,213,653,052,040,604,441,126,090,
010,834,475,531,195,205,686,081,857,433,178,011,190,602,462,012,333,610,521,
002,853,833,586,471,254,717,817,666,624,437,678,261,224,042,743,305,343,715,
352,767,533,643,658,772,725,348,841,360,063,783,744,494,303,271,092,056,493,
800,800,203,340,919,146,130,411,934,203,375,240,088,281,199,275,602,886,964,
263,854,641,401,353,446,175,639,286,826,605,703,244,710,031,730,456,174,506,
229,661,753,475,177,607,396,658,843,339,737,278,525,226,102,565,663,375,990,
779,760,040,183,592,628,142,031,613,673,393,265,076,495,355,512,191,521,693,
091,677,911,740,702,918,743,510,932,475,386,180,032,596,643,256,314,515,552,
374,141,894,793,751,920,609,188,271,820,943,091,398,684,352,880,129,481,669,
345,527,234,218,068,172,992,803,378,351,979,991,384,909,770,366,803,810,302,
942,831,031,010,309,660,339,179,791,875,137,547,116,442,229,613,452,672,930,
128,278,882,093,486,814,181,796,528,608,382,363,307,197,578,954,898,816,432,
932,214,529,859,021,758,415,861,882,268,413,370,755,488,716,830,705,078,271,
293,997,039,175,136,891,528,129,735,757,743,024,803,467,740,238,172,285,002,
266,402,041,091,276,188,842,111,679,049,796,884,172,022,769,128,040,658,346,
423,338,890,286,505,783,726,556,572,870,893,863,164,159,955,753,352,827,197,
215,191,790,690,522,812,482,022,082,326,107,185,922,117,842,814,848,345,828,
724,644,737,613,627,896,867,093,701,471,585,250,796,772,820,895,273,968,889,
854,486,568,477,286,611,974,463,957,381,635,478,343,382,413,278,259,550,493,
135,112,912,156,704,562,439,555,653,372,141,128,562,193,462,487,910,334,328,
129,238,773,238,123,924,291,198,378,811,556,514,202,499,628,519,550,627,449,
362,523,431,607,328,010,790,248,348,634,390,653,573,360,278,420,994,424,912,
062,456,845,764,081,521,033,434,071,501,576,508,980,051,647,393,458,576,693,
652,732,938,764,228,326,924,945,523,105,403,073,045,401,925,999,913,617,021,
163,553,107,310,044,290,520,449,212,947,616,251,518,820,527,659,685,786,891,
765,960,590,496,519,081,157,868,598,213,441,237,816,224,558,732,137,001,944,
643,469,340,458,409,818,261,417,689,367,458,932,974,800,571,152,726,792,974,
624,237,087,204,264,099,494,172,652,390,733,504,915,155,979,771,379,602,172,
028,233,021,349,506,839,082,000,419,551,661,187,217,832,400,703,930,983,812,
240,624,366,733,084,999,872,206,444,550,647,903,400,601,176,380,371,643,634,
427,376,251,288,628,772,081,981,047,643,472,090,727,271,697,349,774,608,975,
022,380,843,310,216,609,479,378,445,288,282,124,609,428,889,429,638,253,185,
398,304,016,428,038,538,920,418,891,553,117,437,355,765,190,680,211,182,475,
369,288,306,017,868,712,220,598,608,599,335,552,349,927,441,531,889,333,142,
606,506,242,237,138,784,257,315,033,024,465,611,302,977,375,836,508,884,118,
944,386,112,422,670,288,317,619,216,391,979,419,327,116,689,601,156,348,627,
588,110,224,180,767,678,351,003,321,223,829,386,023,979,290,756,600,065,965,
396,785,574,646,969,399,714,442,902,077,921,082,823,549,539,320,257,450,332,
100,870,363,255,414,501,604,195,599,639,864,509,852,447,659,325,690,691,397,
721,291,110,143,653,788,902,618,713,427,563,248,266,118,308,153,689,481,922,
682,803,908,832,595,268,871,797,148,590,497,307,558,546,764,165,021,655,347,
174,991,270,965,339,052,906,994,084,434,998,487,953,789,065,307,140,459,687,
792,501,564,300,973,008,432,757,021,842,543,867,514,619,362,790,565,244,255,
839,120,389,668,652,484,677,023,132,799,330,780,474,317,780,052,523,706,820,
471,211,085,829,427,016,001,449,104,127,707,432,474,450,979,544,737,501,319,
703,014,590,164,149,256,828,746,373,861,623,769,395,436,643,506,945,498,655,
728,422,941,014,030,851,333,032,682,197,314,946,476,103,832,619,402,556,674,
619,323,904,115,018,268,469,194,813,939,283,145,312,382,635,134,570,021,825,
690,630,347,996,190,728,461,151,509,887,749,035,510,550,166,015,130,842,094,
105,539,396,994,964,356,918,777,526,175,369,641,722,980,110,798,202,443,999,
328,136,124,657,309,842,772,619,550,513,901,808,474,285,255,083,964,331,264,
376,063,342,496,696,465,384,867,395,754,465,807,460,536,518,723,064,587,401,
284,356,827,452,502,116,895,701,738,088,781,723,112,317,138,725,317,985,000,
374,840,721,548,720,259,682,394,870,060,069,537,540,760,891,263,969,250,258,
001,362,838,801,799,220,719,932,550,013,692,345,879,855,776,803,271,467,926,
754,826,429,376,614,115,963,064,688,015,501,498,675,037,253,037,704,766,247,
473,175,043,763,171,628,612,030,585,622,451,443,661,438,842,182,233,401,968,
802,703,552,190,932,649,830,895,065,233,956,277,479,086,659,595,689,240,568,
194,397,699,089,268,870,586,796,713,013,891,352,635,820,643,511,793,416,325,
322,330,117,814,838,319,997,083,377,681,739,002,098,981,945,375,916,300,797,
747,262,201,332,340,931,095,641,972,751,578,936,106,492,455,675,224,420,756,
381,868,561,818,161,786,275,927,019,184,365,257,045,660,564,676,429,860,150,
963,388,284,985,075,600,576,611,404,542,292,109,711,370,195,824,109,071,567,
143,720,044,796,100,910,677,041,171,668,660,433,641,705,995,008,446,093,108,
259,682,101,395,828,995,055,986,003,028,777,629,720,125,030,976,735,837,714,
480,850,841,416,807,544,033,204,616,355,089,182,274,238,493,963,972,598,730,
696,295,989,374,557,929,026,907,003,687,713,121,509,069,183,525,045,371,644,
850,031,350,914,685,503,969,529,319,275,628,276,247,306,825,324,212,815,087,
969,692,902,972,306,611,731,975,726,439,149,898,233,397,896,105,122,604,283,
623,404,335,188,776,289,395,220,762,700,500,513,672,764,299,030,949,035,892,
622,316,322,260,124,172,519,452,317,336,321,836,435,944,190,074,285,805,156,
018,629,275,476,897,353,483,921,013,312,507,728,032,590,554,119,955,747,141,
609,641,504,482,991,851,758,178,913,680,010,597,918,119,038,550,615,758,602,
591,362,494,647,779,445,810,478,078,222,269,488,199,401,568,005,630,215,632,
975,228,429,964,387,481,382,624,646,875,828,204,644,649,003,978,577,796,985,
554,472,723,390,571,520,796,067,389,079,777,584,984,876,835,399,613,884,643,
813,801,964,333,870,878,947,351,943,963,744,226,797,336,850,501,548,142,908,
310,333,512,322,815,662,914,005,631,481,281,602,509,394,421,732,634,136,263,
779,522,854,959,505,357,279,206,308,953,243,554,793,043,906,046,985,323,732,
317,625,071,584,544,123,382,596,278,723,182,595,458,379,770,247,490,487,045,
744,584,505,656,611,238,653,377,038,360,114,081,144,781,269,338,910,150,413,
678,926,351,096,482,161,270,185,162,719,675,390,073,129,794,833,037,375,853,
162,020,728,164,620,366,989,359,849,395,008,833,245,820,939,788,197,878,142,
489,471,185,127,646,556,825,661,522,027,715,806,552,885,453,091,176,577,142,
047,147,033,417,278,058,142,605,914,680,640,457,900,528,944,619,203,963,760,
492,852,597,588,143,451,013,272,510,750,991,636,409,317,008,134,841,840,193,
363,451,065,780,842,914,713,468,022,235,981,797,756,675,204,723,176,961,715,
462,344,198,885,352,736,364,491,558,696,611,898,618,548,036,562,612,418,432,
236,390,829,999,741,098,107,493,691,472,606,460,779,708,094,239,538,719,142,
184,356,357,452,670,827,657,646,276,786,496,073,611,629,174,345,061,863,268,
164,318,210,444,321,334,031,354,527,611,423,323,309,915,169,584,440,734,886,
617,060,153,799,891,456,966,861,352,828,375,856,926,559,029,355,386,474,294,
355,364,701,295,615,047,782,799,445,521,225,423,217,632,388,151,164,223,624,
718,024,366,310,117,582,093,514,829,210,377,320,487,067,729,207,253,160,318,
919,278,298,787,581,494,206,961,703,911,850,438,731,197,602,812,426,911,422,
933,810,010,548,410,898,248,917,615,675,135,389,482,489,718,218,514,573,834,
060,918,380,076,393,735,751,571,225,291,435,129,006,167,694,128,970,983,306,
308,124,214,061,879,158,807,888,402,783,418,434,745,660,093,025,705,517,847,
809,049,124,131,213,349,085,445,749,399,654,353,887,783,404,803,779,297,974,
914,852,136,588,010,678,099,016,087,514,886,319,465,490,463,672,373,281,404,
551,138,790,390,073,080,092,785,379,482,778,743,149,882,222,223,086,492,062,
274,265,594,282,363,693,283,078,742,587,182,189,007,737,036,393,665,513,185,
343,096,198,840,363,810,273,139,382,685,694,200,744,375,357,763,296,283,284,
581,686,277,843,461,240,821,245,866,236,582,907,772,365,570,163,467,473,760,
720,909,610,281,802,521,730,539,412,519,195,286,530,130,122,936,255,414,101,
063,749,506,574,634,975,500,545,041,432,763,233,896,008,455,134,126,712,039,
830,655,611,674,929,507,779,902,753,913,198,646,937,280,230,947,217,472,935,
617,324,190,133,802,717,138,093,620,393,681,084,386,236,032,826,721,026,483,
820,836,835,959,498,727,183,764,633,733,539,215,162,949,632,022,575,352,683,
374,767,670,716,521,246,392,347,133,981,893,455,359,605,202,925,990,822,393,
654,872,615,208,275,490,539,250,369,270,487,619,296,763,567,442,899,392,630,
995,549,130,311,757,276,078,643,613,887,606,098,415,875,852,835,956,305,303,
380,596,387,070,251,319,730,185,752,505,697,861,909,088,167,897,728,275,885,
571,319,264,008,526,958,400,256,986,795,093,575,603,696,145,919,830,346,727,
194,233,748,289,348,727,023,729,944,690,217,765,713,061,058,971,629,918,790,
330,574,816,085,425,510,833,817,093,748,285,592,053,446,028,364,998,953,262,
030,049,677,868,588,571,188,667,824,816,925,933,548,915,514,071,087,695,461,
367,545,306,012,572,287,784,473,036,242,940,739,862,601,930,836,050,949,682,
274,429,864,250,168,167,222,469,830,836,088,919,941,879,671,558,962,344,972,
095,367,350,260,425,610,306,976,844,276,443,109,544,127,649,104,494,797,266,
069,182,046,150,426,831,128,430,843,923,555,480,134,069,369,696,043,355,738,
607,653,583,591,219,129,959,035,115,745,430,842,369,346,152,841,321,127,049,
896,024,738,017,978,751,527,803,679,931,798,475,735,826,489,061,348,817,327,
869,494,999,905,099,774,618,591,723,334,706,940,823,287,927,112,357,242,549,
756,321,461,643,159,447,549,200,243,469,300,121,319,693,705,919,688,645,285,
533,163,712,454,670,125,838,126,667,784,542,373,788,476,619,915,813,931,699,
870,734,110,253,577,867,027,231,831,651,937,831,818,555,762,094,802,196,510,
710,203,389,379,107,851,622,203,882,463,231,034,361,094,511,413,429,590,875,
722,033,589,559,691,738,899,954,387,366,698,338,037,684,407,908,175,926,179,
858,213,402,582,849,588,475,748,009,737,740,638,032,924,740,364,938,014,240,
014,474,713,040,852,962,150,468,046,478,424,519,721,641,243,250,767,586,495,
199,695,829,572,910,843,037,289,361,951,104,202,645,712,468,258,439,081,538,
384,119,329,704,533,556,447,977,230,495,767,641,327,519,833,292,686,994,381,
665,669,145,997,758,310,318,930,874,160,968,867,127,344,564,175,851,736,540,
343,206,258,511,919,866,229,817,818,423,553,502,054,529,251,722,305,064,760,
498,263,496,184,589,473,631,173,724,763,485,113,333,127,631,943,965,361,060,
957,420,889,181,987,260,360,110,938,711,764,869,377,450,360,454,441,626,985,
813,031,362,444,262,935,823,419,196,024,014,627,511,236,503,870,078,992,943,
618,691,553,699,828,428,316,265,313,905,138,973,418,548,755,953,286,182,705,
112,255,105,034,879,301,887,390,631,574,623,241,262,954,303,469,946,846,326,
646,659,092,139,346,497,071,075,666,183,105,553,863,407,469,190,216,764,736,
558,771,560,192,162,058,220,740,331,899,314,257,650,782,436,502,694,643,400,
670,623,240,334,757,106,622,041,681,282,950,154,146,605,392,304,573,970,130,
727,767,242,766,835,794,166,285,104,166,934,660,861,959,060,402,484,904,774,
594,020,198,215,012,880,493,138,376,864,517,516,861,143,555,920,414,196,069,
353,029,417,632,382,210,103,074,965,547,812,598,398,948,305,811,895,862,666,
569,079,182,499,645,752,782,261,780,934,127,400,883,380,466,017,317,037,980,
772,419,378,442,864,227,651,433,661,293,378,090,850,668,244,258,297,424,225,
408,386,231,458,839,788,155,301,566,073,226,268,188,353,642,802,685,921,380,
012,925,842,706,524,757,613,509,611,057,033,516,080,781,971,033,187,340,525,
756,489,526,388,437,204,566,287,761,698,231,226,941,580,353,865,634,207,297,
068,479,947,065,592,668,474,643,164,196,391,013,806,968,161,822,086,700,522,
108,729,063,944,832,762,524,263,553,554,625,054,862,358,781,797,990,178,463,
066,999,887,719,275,333,590,219,391,233,239,543,854,323,192,143,867,497,330,
851,785,069,096,584,170,488,422,692,604,726,130,333,522,790,159,152,680,987,
813,566,543,444,573,385,494,276,396,617,463,163,668,340,929,830,962,225,646,
070,806,669,377,088,997,715,583,494,552,919,810,510,987,130,933,923,402,423,
915,117,011,622,414,216,510,263,176,752,845,119,914,281,867,510,078,492,510,
492,410,698,443,145,251,236,186,468,035,316,524,572,762,577,590,740,488,941,
513,059,875,168,335,727,352,607,284,521,521,169,867,605,707,037,837,867,445,
127,836,463,191,854,841,747,286,565,338,068,252,322,082,800,609,491,563,825,
702,138,934,509,379,159,291,648,461,462,169,437,530,800,758,507,705,035,677,
057,368,336,874,111,643,752,479,579,873,427,924,118,745,525,530,861,847,755,
778,420,566,486,336,106,854,132,524,075,396,085,650,286,672,197,661,381,804,
667,819,285,829,638,307,217,434,085,776,156,783,823,479,018,420,670,905,623,
422,579,635,435,920,678,680,416,944,590,624,164,784,190,659,190,733,958,819,
471,229,891,824,233,403,781,358,129,178,166,215,377,270,320,321,808,353,671,
406,322,397,167,851,095,277,508,338,020,822,255,478,827,138,298,489,749,469,
111,603,796,435,452,159,633,727,877,067,752,792,901,400,014,756,021,075,992,
815,150,496,418,281,220,211,010,538,592,110,728,823,430,943,645,620,794,755,
668,572,359,321,737,237,611,205,356,059,844,543,669,435,394,607,177,866,183,
754,752,320,005,182,203,411,145,800,956,947,546,813,290,556,707,500,328,546,
623,049,904,273,562,813,275,438,978,734,379,041,189,721,729,547,327,158,040,
809,118,665,565,535,289,772,962,853,148,557,971,665,812,068,471,270,314,278,
425,906,138,200,880,022,102,622,783,276,903,488,797,547,922,750,635,297,292,
218,331,511,191,521,238,151,377,304,987,151,098,034,466,267,602,882,389,841,
217,632,715,714,972,695,245,387,986,799,191,632,241,440,620,837,908,266,932,
796,895,864,954,440,357,182,723,212,376,830,993,380,861,858,783,681,526,541,
869,335,893,241,091,107,467,828,000,786,638,451,192,968,256,768,463,113,686,
346,852,295,719,223,798,654,529,371,506,680,093,199,081,837,005,590,827,061,
701,293,137,157,449,779,973,108,760,176,039,725,622,938,441,484,067,094,850,
841,748,414,334,331,688,106,287,487,429,801,969,936,947,140,454,249,265,458,
192,449,555,944,216,859,778,451,625,877,250,788,220,063,659,099,718,449,851,
866,362,356,064,253,154,114,689,894,806,059,355,850,110,293,559,941,566,352,
000,041,526,447,826,323,417,811,053,646,280,891,231,845,331,973,064,979,570,
293,092,702,424,287,747,577,452,947,807,493,554,012,180,451,692,110,713,841,
287,628,434,745,192,407,889,737,474,323,751,155,979,256,502,158,810,641,010,
117,583,526,971,126,409,990,449,187,647,054,664,244,868,557,747,695,787,176,
302,361,034,715,125,519,541,903,724,118,948,923,227,628,782,797,284,272,974,
564,665,253,657,832,168,055,960,447,468,158,644,781,406,098,929,723,844,890,
791,185,126,998,343,651,974,532,348,157,459,113,042,500,519,097,627,456,030,
039,463,192,754,034,138,304,075,619,810,100,094,710,071,058,528,444,803,839,
912,779,680,165,378,332,821,242,828,049,198,992,947,694,715,902,209,760,829,
054,181,268,762,557,849,864,787,033,664,044,316,857,625,885,244,028,645,536,
754,998,378,250,419,805,112,737,897,955,689,916,800,853,934,513,712,212,030,
788,668,299,215,361,682,844,467,863,963,939,839,778,620,807,233,531,797,613,
030,748,518,550,678,448,175,299,402,199,359,307,548,025,996,140,807,592,381,
534,730,315,295,800,676,681,456,147,431,052,854,493,020,560,299,721,441,680,
222,909,563,651,881,704,103,633,130,322,310,931,910,797,264,248,039,661,520,
947,821,066,504,373,930,877,735,627,868,686,387,661,315,435,825,872,099,791,
895,317,983,097,080,500,813,630,998,769,210,757,286,857,264,798,301,864,562,
381,757,448,439,451,436,286,939,515,141,744,985,355,188,863,233,788,447,417,
836,334,690,660,543,090,881,649,737,537,141,759,696,571,303,130,933,342,330,
772,274,965,790,180,831,625,486,731,229,660,904,479,410,533,798,812,899,697,
956,378,333,989,401,412,751,066,106,836,991,538,696,810,976,005,887,719,852,
698,298,760,594,303,150,372,990,197,138,824,944,974,769,636,975,172,087,186,
340,808,571,444,794,919,783,791,326,667,839,677,771,655,055,317,223,934,390,
386,273,711,628,852,709,452,094,811,391,555,757,988,243,749,900,566,255,599,
410,377,923,749,671,874,209,802,470,247,174,467,733,902,162,992,750,202,819,
631,472,463,006,356,860,463,429,124,382,432,530,205,238,515,727,903,886,582,
419,391,413,268,237,346,976,090,472,384,526,923,169,286,551,912,191,496,166,
045,029,777,493,379,499,414,023,711,642,138,886,999,554,014,162,774,679,145,
095,477,074,966,075,282,976,132,454,564,714,968,637,344,153,810,370,459,008,
359,722,846,947,765,787,244,378,229,035,774,262,461,327,814,523,671,224,556,
745,811,189,002,821,702,604,181,250,528,281,670,448,614,130,516,199,186,785,
867,540,372,485,468,781,673,932,801,036,592,227,575,316,200,313,645,617,147,
828,565,407,459,655,303,899,623,011,245,652,492,372,469,250,299,836,181,294,
482,154,853,730,661,696,427,701,512,942,269,383,255,370,375,881,237,234,525,
706,168,286,375,013,453,467,964,315,624,570,609,689,260,714,611,879,176,329,
085,300,043,535,263,509,253,009,731,350,590,859,560,551,744,433,461,134,191,
052,786,193,611,381,750,768,981,961,496,315,326,047,585,408,035,929,099,097,
826,813,431,999,470,056,712,023,951,179,953,705,126,804,850,801,872,586,370,
756,099,704,710,471,053,988,849,054,330,757,756,941,100,465,126,218,485,334,
430,246,951,542,666,906,548,591,979,902,194,362,836,801,234,998,641,053,987,
658,047,671,498,810,969,685,290,989,504,956,238,916,114,867,300,423,855,253,
966,994,675,921,544,007,892,943,154,673,990,891,957,701,579,138,393,553,943,
312,128,959,318,074,675,019,519,690,957,222,382,234,816,045,857,393,739,715,
625,481,849,625,207,496,974,209,480,101,571,190,318,872,535,143,311,673,273,
877,173,302,356,491,867,004,521,162,596,449,111,470,804,401,306,133,363,684,
264,945,177,642,790,304,743,586,316,537,572,471,973,005,216,236,755,671,729,
696,771,056,948,591,583,317,033,722,844,984,914,890,137,123,969,421,660,196,
499,629,032,406,877,305,761,442,841,815,461,630,661,606,654,833,841,379,515,
525,937,887,618,277,712,277,665,138,680,289,125,811,284,191,495,506,930,712,
467,301,519,715,204,246,964,521,956,007,059,286,071,747,621,102,913,806,189,
681,664,212,179,962,747,336,202,875,707,699,471,483,846,865,274,277,661,236,
974,754,603,505,612,577,595,941,037,451,988,230,766,320,447,441,536,038,924,
657,793,145,519,518,868,437,226,382,556,507,537,250,974,955,975,984,771,045,
253,394,292,102,786,594,236,945,011,680,554,042,568,102,975,526,760,332,554,
184,215,906,548,199,145,075,936,661,230,419,143,524,245,492,492,066,299,859,
017,442,455,897,382,334,658,876,862,815,328,130,390,356,186,025,667,173,132,
132,202,949,618,224,703,581,940,835,095,277,802,585,684,787,288,203,657,768,
781,789,865,458,260,292,673,324,523,082,608,689,440,266,368,051,566,496,306,
686,020,612,004,344,104,673,986,410,872,023,945,926,775,445,885,941,954,201,
219,796,462,374,478,715,336,194,940,084,548,708,459,586,081,403,641,167,173,
637,247,910,812,553,155,484,000,237,607,649,656,516,996,015,350,248,453,715,
615,592,213,671,083,079,706,305,634,491,445,439,312,150,929,284,551,759,558,
070,635,519,656,411,313,967,570,027,635,202,483,637,547,770,842,128,869,119,
814,678,718,848,409,746,268,429,334,977,050,443,426,615,940,181,884,107,312,
489,518,904,309,399,371,967,018,589,705,766,885,567,284,159,722,449,924,930,
196,786,595,427,767,224,762,707,433,708,234,127,625,555,328,675,352,997,771,
396,646,150,861,791,770,840,807,434,374,954,872,124,422,625,223,965,813,004,
598,797,780,973,330,944,534,439,477,945,834,540,143,199,628,152,999,598,662,
316,256,690,593,379,676,388,049,532,446,500,061,427,820,553,061,830,531,782,
342,493,358,006,478,800,648,384,367,252,513,594,584,211,677,615,169,382,111,
745,299,708,345,083,698,300,087,483,123,900,070,666,933,126,468,315,340,429,
834,598,574,931,255,010,472,381,944,834,917,842,100,068,655,203,818,097,492,
845,041,758,903,963,525,764,018,452,738,928,611,360,174,126,040,995,813,975,
969,943,451,419,548,940,257,212,286,413,179,082,901,980,085,017,233,431,917,
344,840,665,268,213,260,506,929,212,584,960,212,824,722,571,693,207,749,863,
976,793,444,865,058,471,724,524,553,087,133,422,892,067,375,713,114,916,459,
202,105,201,729,777,541,767,921,012,955,031,297,217,912,908,439,629,001,943,
841,684,285,133,317,462,244,288,810,188,745,578,809,861,482,558,862,984,088,
842,236,334,903,952,777,563,945,239,283,738,796,470,694,305,956,678,911,282,
467,391,667,432,863,418,766,235,676,352,248,889,264,856,917,742,307,091,803,
049,411,611,407,383,573,954,421,520,310,074,659,653,961,785,919,251,599,501,
268,377,775,993,690,924,862,640,884,370,435,262,441,328,534,674,050,322,945,
918,149,375,484,062,950,324,441,512,286,104,071,230,357,670,749,825,931,244,
619,256,609,011,249,622,523,323,199,153,152,024,713,610,356,062,612,031,893,
782,045,383,753,943,364,047,324,070,724,205,523,611,882,938,267,837,952,759,
967,918,032,507,397,638,297,132,881,962,359,727,869,684,161,684,558,982,494,
685,962,135,546,860,031,702,929,406,226,209,254,973,442,875,001,557,134,491,
933,983,753,381,703,620,056,643,899,293,274,945,797,010,963,686,404,172,706,
790,003,562,602,078,281,338,224,744,468,123,016,090,012,830,252,366,509,170,
838,167,054,407,797,297,261,010,506,199,277,111,860,433,944,213,169,342,019,
172,667,485,283,502,148,585,164,409,617,519,851,948,083,429,341,965,416,217,
276,068,613,821,029,560,159,427,615,629,957,528,936,665,308,141,317,478,640,
268,994,028,957,105,915,272,874,629,160,908,463,981,052,593,783,574,164,246,
572,123,134,578,547,785,484,148,226,306,939,679,005,457,394,848,459,976,562,
562,494,966,597,015,670,002,589,822,369,340,074,525,835,662,803,929,644,078,
107,643,750,409,967,749,426,976,456,376,642,034,562,365,663,876,339,788,645,
550,964,841,931,596,520,583,588,981,814,822,564,836,576,294,201,652,910,000,
198,145,424,937,077,817,213,790,342,745,145,089,224,665,002,980,167,125,161,
724,017,250,967,660,802,269,565,432,803,870,642,370,077,708,957,863,704,602,
264,627,106,768,657,115,972,645,472,731,534,479,748,563,228,239,070,514,647,
642,170,428,439,426,169,839,072,737,449,641,940,366,223,989,081,516,036,909,
348,608,120,362,784,120,045,913,573,214,326,587,216,991,192,696,412,566,084,
833,866,520,289,093,822,313,472,303,018,235,408,054,941,219,552,907,640,677,
149,773,181,339,863,622,294,951,857,878,644,614,616,314,327,626,539,591,335,
456,608,213,156,604,018,568,827,709,011,541,031,160,444,203,839,795,165,638,
324,409,715,147,520,003,904,528,857,365,634,655,898,290,661,929,433,373,985,
477,038,755,387,793,697,721,737,592,075,313,059,097,134,013,342,948,112,056,
286,385,756,270,049,292,509,665,471,598,026,771,239,058,306,117,029,295,195,
206,534,889,502,298,070,995,863,970,317,953,089,703,215,813,089,621,643,781,
087,327,836,143,548,887,079,976,194,577,074,643,398,522,268,102,997,858,173,
195,414,027,012,716,363,571,209,151,401,787,481,464,550,297,948,538,990,458,
783,286,653,563,707,354,763,018,459,597,464,746,420,092,231,213,233,913,986,
104,847,999,996,289,960,970,942,899,532,068,916,745,127,319,870,175,247,328,
523,282,500,498,003,463,697,574,094,631,177,837,841,088,965,406,336,654,017,
581,625,984,679,771,722,777,109,628,630,061,305,274,327,404,759,546,482,438,
289,668,186,164,564,337,669,801,063,293,339,074,212,483,286,383,195,527,533,
678,907,798,871,195,296,328,758,321,526,771,218,574,582,901,535,638,707,534,
458,674,584,597,704,057,142,096,253,409,685,319,333,567,115,777,243,098,670,
343,226,451,993,255,374,153,550,509,800,791,180,490,693,458,713,016,858,201,
380,874,066,049,560,214,039,681,646,053,484,072,202,092,856,125,391,587,672,
234,661,138,018,357,330,801,229,095,344,382,046,408,085,672,028,254,207,959,
588,691,871,516,494,672,829,588,352,324,447,998,963,883,970,462,478,511,537,
674,833,086,654,757,507,130,581,540,166,393,086,404,204,434,901,440,080,768,
440,784,889,139,140,641,924,620,137,891,339,596,792,418,825,268,125,087,102,
140,099,211,755,663,205,132,221,483,975,343,530,938,584,869,425,712,412,325,
338,487,755,578,895,238,786,021,701,927,781,291,158,245,948,241,451,214,479,
385,775,963,334,653,791,832,402,261,767,538,942,659,251,711,275,288,634,657,
809,130,061,356,305,656,275,235,371,224,075,711,578,200,899,691,295,239,770,
675,268,918,117,951,866,413,971,341,009,177,139,649,367,108,559,620,415,149,
801,754,999,746,448,893,012,444,126,332,690,745,332,190,938,565,430,705,400,
094,757,240,273,425,152,294,979,972,702,145,360,318,591,805,671,861,953,586,
532,649,950,755,955,507,531,135,834,026,563,795,900,894,627,840,183,013,180,
146,337,509,250,527,601,160,791,637,540,481,000,589,421,868,857,956,401,972,
550,572,292,177,782,307,702,263,847,327,814,326,613,988,901,075,521,707,666,
281,904,233,682,122,757,513,992,486,568,804,994,740,913,760,224,043,909,353,
867,605,709,153,042,717,183,307,187,170,978,908,251,800,862,223,502,994,161,
527,804,484,398,206,939,111,458,358,910,877,863,562,938,128,355,624,056,451,
154,933,564,751,726,355,894,625,426,902,364,920,411,843,076,017,980,817,669,
402,717,636,807,031,282,651,475,827,806,487,126,014,517,388,902,154,002,328,
185,040,968,539,297,379,571,177,949,939,100,022,646,739,499,714,018,923,774,
390,158,002,482,663,482,675,834,530,664,558,880,998,529,129,877,327,052,319,
564,537,121,323,673,637,111,461,020,238,494,470,754,064,133,167,106,930,914,
047,090,850,499,861,216,958,122,033,196,171,164,704,751,536,729,450,991,492,
246,281,678,178,803,937,421,797,342,956,834,999,841,550,137,795,917,684,299,
129,058,630,302,401,819,627,936,863,879,693,306,892,426,599,113,900,573,672,
481,253,050,878,111,623,087,427,173,073,573,834,463,820,314,875,581,592,952,
726,839,149,109,538,586,402,272,463,348,549,175,289,300,392,647,935,861,557,
788,374,983,714,549,494,999,688,174,002,937,939,341,945,118,772,766,063,806,
833,095,976,894,222,404,779,007,809,239,568,176,074,073,361,134,903,850,201,
533,248,235,708,295,064,869,579,747,538,981,770,257,664,088,841,053,615,800,
137,151,083,762,393,860,568,221,944,859,168,206,849,363,843,518,988,061,259,
355,756,514,898,656,490,864,482,510,473,367,045,278,531,031,804,014,328,760,
701,777,729,261,687,104,794,818,457,508,298,758,219,689,224,148,522,884,734,
754,134,516,596,982,653,043,374,598,384,548,406,104,951,792,782,172,898,462,
638,784,266,143,353,407,346,147,917,904,711,217,654,899,203,742,125,197,870,
824,859,948,784,727,880,235,362,045,128,555,993,533,809,454,512,571,665,502,
580,892,251,619,972,137,406,158,940,764,952,005,061,404,486,199,833,809,324,
845,616,860,118,459,813,957,100,820,460,694,208,158,386,404,743,867,206,324,
781,236,786,612,363,862,416,807,053,045,360,582,618,406,460,711,556,402,924,
780,919,736,337,765,135,730,994,048,768,550,624,969,683,875,092,726,114,799,
981,624,554,716,158,397,711,913,427,949,947,527,414,730,009,072,405,889,478,
699,195,936,021,031,055,414,164,044,394,441,996,739,383,945,606,322,635,041,
504,627,252,692,795,581,232,760,475,579,998,370,084,209,996,775,584,201,565,
057,536,179,503,341,236,766,129,777,328,088,458,242,962,164,978,603,972,932,
968,176,454,903,307,314,195,739,658,815,082,280,225,574,608,692,667,864,821,
833,864,164,677,339,853,281,406,760,140,683,037,581,725,508,627,267,836,998,
781,476,187,960,683,539,650,088,557,498,013,105,555,808,778,070,311,115,048,
770,251,927,378,523,021,322,394,614,635,426,887,961,199,121,422,421,853,134,
884,386,144,632,834,175,026,044,204,403,858,907,395,625,105,957,982,273,690,
723,928,155,346,757,333,210,885,236,052,225,780,904,292,057,335,591,276,475,
906,981,490,695,126,636,067,554,723,078,484,570,594,714,404,897,920,109,358,
636,634,056,309,359,915,193,315,720,043,494,032,831,571,642,233,851,407,073,
536,705,539,790,607,909,866,072,128,866,940,675,416,478,218,895,032,579,608,
736,608,564,241,372,979,096,174,867,554,442,264,197,171,495,692,594,742,667,
212,672,860,103,368,888,082,150,860,680,825,740,500,841,446,410,721,280,270,
641,934,413,740,745,684,308,358,325,446,310,573,118,885,264,969,859,698,320,
383,101,648,413,600,635,735,524,378,172,066,610,786,989,720,619,927,748,706,
730,959,443,237,301,353,874,072,843,404,891,070,504,470,652,240,752,074,415,
210,438,714,619,325,371,140,712,322,171,195,150,704,606,926,227,358,355,198,
071,639,235,545,128,048,432,474,178,718,980,629,454,776,773,849,110,379,413,
610,539,687,877,464,636,672,876,517,531,462,162,516,476,301,522,964,951,199,
194,344,788,992,468,217,955,860,171,737,518,877,476,164,203,420,065,742,035,
447,985,130,129,657,306,544,721,552,964,337,601,149,155,024,396,965,248,651,
468,171,128,491,678,170,515,682,635,975,406,232,805,601,010,710,949,863,558,
907,919,003,589,099,651,359,137,197,323,941,518,982,285,298,112,845,494,137,
246,226,240,748,337,581,294,774,585,057,049,372,574,356,643,564,253,283,843,
724,789,665,949,396,154,439,574,665,448,112,803,323,361,986,894,943,684,524,
824,354,940,814,975,464,240,806,573,414,727,758,621,322,181,237,290,352,126,
736,838,721,709,345,317,191,539,743,426,160,715,147,253,346,832,017,828,733,
588,974,069,264,474,341,396,654,285,589,137,614,039,981,349,093,746,217,752,
132,083,077,733,756,694,070,281,238,682,730,408,803,147,997,918,548,093,486,
850,310,267,565,656,143,829,473,944,534,413,867,995,668,559,931,046,293,580,
319,871,583,603,804,106,506,373,634,551,730,029,937,240,081,764,327,009,577,
362,040,975,257,073,560,753,264,156,783,787,436,273,473,450,226,832,685,307,
231,684,252,160,250,288,293,670,484,929,665,142,395,362,278,089,165,273,046,
728,670,859,072,671,792,523,674,776,003,026,295,655,286,470,346,897,508,058,
630,746,890,490,156,993,734,624,621,603,050,985,602,853,138,611,408,385,091,
872,932,744,567,098,054,719,043,408,741,545,466,279,228,255,793,402,853,588,
536,262,207,980,502,428,593,252,536,696,261,558,329,586,812,586,018,473,739,
641,112,809,166,435,721,193,373,481,910,142,846,915,339,716,480,294,606,275,
344,395,770,839,078,925,050,774,415,484,437,745,064,468,333,661,746,765,229,
616,662,748,968,116,687,000,469,798,253,461,686,311,455,688,888,613,989,790,
026,980,647,966,300,582,891,713,723,291,333,121,784,895,765,332,927,080,835,
686,422,390,055,187,855,001,246,109,426,268,320,717,044,612,470,320,141,328,
983,215,241,451,719,201,675,471,583,416,446,227,673,896,085,712,741,367,130,
845,445,427,031,143,645,931,171,365,762,767,895,159,059,059,378,324,246,515,
747,804,936,052,261,797,609,329,820,363,259,344,319,599,386,461,153,142,870,
427,468,255,527,978,815,230,836,110,329,508,430,888,628,922,789,081,420,371,
649,420,133,447,228,154,668,121,649,109,771,635,699,641,472,667,492,062,595,
342,068,490,145,318,924,692,355,609,957,544,760,958,144,599,565,875,408,151,
320,680,106,843,607,171,641,510,375,607,354,123,667,346,843,889,398,540,078,
753,183,760,395,949,291,911,987,138,477,695,072,513,727,560,827,942,714,862,
592,879,859,974,545,130,277,037,238,857,492,444,186,836,948,480,516,202,846,
460,651,475,328,011,580,029,202,223,039,541,334,352,037,082,959,682,997,374,
381,087,132,759,908,689,114,262,746,495,081,645,560,575,746,228,240,646,131,
794,148,978,915,727,879,424,146,826,687,642,982,160,856,116,284,005,408,601,
661,337,480,425,118,436,065,026,915,476,221,865,449,220,755,215,008,330,659,
650,301,753,770,149,373,155,217,180,393,076,636,166,574,268,592,249,916,743,
396,630,034,937,437,587,290,305,575,974,737,297,923,506,988,514,554,684,844,
805,861,251,884,356,161,053,864,039,509,241,765,270,186,649,475,462,297,470,
369,565,966,091,344,392,789,986,436,073,449,001,664,027,957,894,982,720,790,
985,758,205,100,501,925,364,182,716,067,266,725,360,972,539,864,284,763,750,
536,407,548,779,835,321,730,491,524,197,376,560,330,440,863,815,424,926,943,
200,188,526,317,751,537,789,940,027,855,504,416,841,729,270,876,594,388,946,
475,370,726,439,537,152,707,543,779,802,441,262,048,549,787,009,734,808,395,
686,986,249,627,324,103,075,216,321,988,447,643,985,212,261,402,324,767,270,
399,456,663,911,165,022,829,062,120,234,004,111,324,373,811,893,518,131,130,
879,488,270,467,156,650,546,437,250,724,155,494,327,373,738,024,770,306,938,
078,359,512,710,896,449,499,505,846,083,687,277,222,197,183,274,536,539,927,
144,222,859,363,683,536,174,525,277,672,082,579,890,852,247,392,293,340,596,
816,547,130,560,829,387,796,050,009,019,874,704,240,590,690,867,424,105,584,
248,044,837,009,977,670,456,281,609,336,478,878,004,709,791,173,730,810,810,
190,678,144,297,780,603,651,530,929,076,668,704,502,021,906,457,326,445,357,
373,437,391,255,045,329,302,269,839,731,523,307,160,790,737,107,409,750,624,
776,562,409,776,007,383,712,384,626,344,639,133,699,117,248,328,485,098,084,
792,688,120,378,223,186,774,358,725,283,421,481,798,906,231,412,597,711,408,
008,143,111,856,758,831,632,900,717,578,296,877,829,609,470,457,855,936,842,
507,491,919,185,418,348,555,702,666,222,770,722,121,353,972,544,080,398,384,
150,237,542,701,236,692,123,809,576,197,273,104,852,673,036,745,923,374,166,
621,286,496,335,213,381,414,127,649,740,249,234,689,946,096,976,721,748,757,
082,934,387,067,587,300,894,234,868,551,756,903,176,418,630,982,228,693,551,
273,573,997,753,189,372,047,310,195,108,195,606,800,292,938,576,814,756,725,
051,539,712,439,106,414,772,993,061,027,863,042,896,477,997,849,394,942,690,
992,702,832,164,041,386,421,047,270,495,034,565,551,389,071,768,548,921,592,
940,532,950,065,023,541,121,661,590,341,584,461,587,276,493,296,957,440,237,
535,772,964,706,754,118,708,467,722,785,351,113,836,306,581,553,658,507,177,
129,749,291,445,871,017,700,615,163,360,505,990,566,331,949,397,660,578,070,
204,867,704,981,273,836,873,492,267,277,886,285,876,192,352,062,288,620,631,
567,887,213,173,413,734,183,371,701,319,574,252,834,331,699,459,776,918,880,
405,665,816,599,602,214,380,281,070,589,585,464,807,103,701,312,565,175,379,
554,167,646,550,121,949,683,162,498,760,844,980,891,918,000,796,973,815,804,
597,502,642,950,081,160,959,386,390,439,256,787,806,000,299,841,770,204,798,
051,372,265,305,554,613,860,146,467,843,721,604,055,504,715,259,747,920,197,
218,403,866,676,954,852,909,604,762,145,677,205,225,907,707,160,026,821,389,
131,765,152,601,983,528,557,652,807,427,594,178,756,876,846,903,673,093,906,
260,841,784,136,455,885,752,009,811,973,138,786,913,566,604,214,975,057,489,
506,384,955,974,787,690,316,246,471,824,180,497,935,673,615,022,246,858,763,
808,856,218,096,120,204,421,709,619,858,040,852,717,793,502,951,522,939,937,
563,821,687,582,341,765,141,129,509,012,149,630,223,145,502,874,575,800,428,
278,938,266,866,541,049,055,525,970,874,676,613,893,925,379,726,227,003,969,
245,892,241,045,897,001,425,001,338,427,828,387,776,341,871,118,785,525,052,
931,758,485,452,199,063,027,281,479,753,414,794,731,917,311,008,877,353,912,
024,917,494,405,333,684,144,800,307,072,454,346,368,887,763,096,530,168,328,
746,525,189,916,110,438,946,648,277,873,727,073,540,007,373,850,334,139,415,
889,063,301,448,250,525,093,113,622,841,621,798,178,911,683,954,535,245,243,
995,082,818,421,821,117,943,527,548,397,268,820,301,505,927,265,193,348,296,
525,313,909,867,663,873,855,626,528,653,154,920,643,355,594,774,629,995,422,
116,081,324,599,549,696,566,552,934,520,150,717,308,128,610,009,969,338,439,
733,124,508,593,940,086,707,973,299,100,504,295,319,141,555,281,121,976,253,
747,313,921,309,222,077,131,625,839,497,172,525,158,940,187,106,917,618,400,
328,039,242,497,741,846,244,077,009,740,039,944,990,733,452,376,175,142,111,
367,550,792,641,877,970,819,486,697,684,661,527,255,700,770,319,052,545,703,
857,361,545,352,241,021,692,541,646,028,735,201,362,350,495,181,720,515,363,
566,493,542,833,452,237,245,704,277,925,853,886,162,311,827,700,535,095,770,
395,251,857,733,059,205,693,232,204,946,315,379,671,847,729,802,706,807,543,
302,750,511,879,139,278,025,323,041,283,626,240,166,746,514,377,869,542,535,
997,999,570,272,637,025,388,263,494,407,262,298,604,826,738,798,095,570,276,
946,812,733,718,931,296,095,956,418,346,830,623,089,293,335,065,997,100,146,
949,753,482,460,823,344,192,227,317,910,470,606,751,236,250,091,175,548,879,
224,912,828,934,413,460,442,821,559,699,270,921,376,137,274,390,452,465,872,
346,112,739,170,948,660,784,670,663,288,761,006,047,868,349,990,322,306,379,
499,560,927,653,000,706,304,291,846,869,500,418,998,635,158,214,136,647,278,
462,451,648,829,729,679,760,147,785,686,648,457,442,797,619,508,754,236,556,
216,717,908,136,634,452,682,725,201,453,025,217,042,130,247,190,291,155,071,
324,079,411,683,578,866,268,843,623,681,659,104,547,812,048,971,171,585,642,
181,284,517,165,748,853,080,962,664,853,065,648,334,869,970,195,276,054,349,
940,037,106,472,434,987,818,141,137,860,887,595,751,179,609,066,484,394,755,
565,402,367,700,194,444,168,794,621,164,844,932,983,574,199,706,317,481,563,
901,799,056,975,812,276,320,278,028,708,009,969,849,546,862,788,190,874,884,
750,428,161,692,424,121,495,790,952,098,637,961,379,563,762,616,956,152,668,
565,739,122,894,977,035,303,618,906,427,005,275,207,635,577,270,598,790,942,
971,388,771,437,185,796,835,737,783,566,230,154,722,154,139,674,276,505,376,
483,596,676,799,170,433,786,201,042,831,212,506,305,288,693,235,486,334,385,
861,779,029,623,591,675,268,447,991,278,904,732,265,845,011,573,818,251,553,
588,391,631,725,409,392,592,917,324,633,672,565,650,504,235,184,957,945,497,
117,012,420,257,631,499,746,748,566,546,571,500,181,548,193,149,935,608,384,
945,156,297,763,349,429,604,450,788,646,263,373,059,160,099,034,049,077,767,
755,561,109,421,946,037,961,481,320,082,085,712,418,370,025,772,458,784,492,
434,670,180,820,163,738,508,139,048,440,290,400,497,948,593,774,041,795,256,
374,462,031,909,661,417,354,760,821,752,180,525,412,871,051,253,742,532,534,
973,524,692,395,825,776,477,117,179,830,803,099,447,267,896,638,769,966,745,
230,179,708,506,058,406,759,601,623,655,097,501,067,285,108,477,985,974,216,
182,242,056,649,556,263,049,352,139,718,153,186,401,930,740,744,239,236,541,
427,067,313,543,079,861,825,753,940,298,528,872,520,407,456,328,936,338,160,
752,858,750,685,329,355,269,008,157,181,785,027,628,087,729,719,968,955,923,
520,348,788,503,711,719,701,428,505,188,081,230,483,040,825,996,161,508,759,
634,325,998,106,697,075,502,630,950,045,167,370,932,583,003,038,246,498,671,
153,919,116,262,978,377,528,407,101,694,550,361,259,531,543,731,564,528,553,
015,953,101,670,578,682,533,273,022,149,811,593,240,949,969,353,430,856,807,
623,960,259,985,249,930,242,371,872,369,339,159,252,809,844,510,840,856,818,
546,974,931,576,803,203,391,353,731,909,087,208,168,309,669,847,300,804,512,
756,307,278,964,298,319,517,406,470,125,252,859,470,375,066,423,581,503,239,
658,550,415,306,085,819,251,212,838,159,394,257,832,253,179,386,935,378,090,
502,855,105,379,643,200,913,613,166,329,844,507,052,657,531,772,483,522,134,
273,962,671,696,358,084,506,553,102,225,046,568,218,444,480,890,007,765,028,
600,817,658,156,588,906,096,237,794,592,951,905,623,759,315,974,606,538,740,
307,828,995,945,376,788,791,732,344,925,015,310,085,109,001,969,321,603,856,
572,546,919,471,506,844,642,131,071,383,231,976,719,100,610,558,108,379,670,
917,627,564,067,859,179,342,243,259,403,523,376,940,985,299,825,120,585,819,
083,376,149,576,666,178,338,034,202,996,460,592,688,847,235,881,934,941,839,
473,384,499,564,764,058,053,722,268,215,458,802,836,493,877,427,478,858,838,
146,913,193,711,547,530,220,323,687,201,133,925,923,055,991,065,656,905,026,
487,917,075,862,785,794,466,129,688,570,614,856,566,746,273,822,002,167,555,
647,033,494,815,142,584,568,750,597,006,209,942,022,918,631,850,151,745,002,
316,143,416,010,843,093,171,643,951,904,642,373,635,950,290,345,028,567,709,
556,876,081,932,970,766,197,933,580,492,037,340,742,646,103,363,520,621,695,
498,730,027,759,530,555,095,726,471,565,440,722,229,790,748,214,214,758,746,
908,772,660,769,547,792,717,894,402,698,119,533,686,188,690,511,319,691,650,
878,673,120,173,535,647,081,431,957,455,194,994,116,525,898,410,578,478,486,
508,925,896,978,339,368,128,286,638,613,668,399,357,981,190,593,238,553,706,
738,808,517,393,846,175,499,620,531,875,451,196,463,175,695,892,983,579,717,
391,840,889,627,937,747,463,972,280,251,251,983,948,888,522,796,943,293,325,
073,653,613,654,488,254,301,365,815,660,157,368,550,277,634,179,083,871,761,
748,522,120,170,713,006,925,594,492,538,426,036,637,431,152,192,253,543,146,
360,442,335,808,645,577,124,931,466,213,275,428,123,528,681,521,617,953,517,
471,676,538,358,930,343,043,942,385,468,602,697,530,247,053,701,027,780,952,
621,551,640,300,807,938,646,367,987,983,987,409,841,806,013,475,089,512,217,
597,116,390,321,933,827,621,706,892,963,591,467,210,651,206,347,345,092,618,
005,819,016,515,350,082,011,114,859,290,572,704,782,962,477,999,098,433,607,
316,786,042,936,151,115,502,571,204,192,270,337,539,845,183,867,356,287,730,
313,901,223,321,881,931,881,326,190,607,163,518,784,909,955,890,398,136,892,
959,146,376,674,582,053,628,770,803,444,775,938,704,984,464,621,119,618,332,
495,948,676,327,561,716,431,774,035,962,327,675,486,772,298,253,258,957,368,
354,141,067,325,441,143,828,476,337,272,374,916,640,788,616,270,552,269,066,
650,914,799,660,249,974,320,684,197,725,052,833,962,586,208,919,751,202,420,
126,073,675,249,812,403,893,136,569,890,352,127,792,113,254,046,194,483,708,
592,755,196,253,860,544,444,506,117,097,101,429,706,027,730,874,919,503,009,
505,426,461,081,223,834,198,813,775,145,851,821,720,246,030,179,685,685,644,
298,938,990,286,815,671,257,897,086,035,422,805,658,405,735,416,073,518,277,
652,463,442,163,951,000,038,727,136,199,205,460,774,270,254,831,801,884,798,
538,682,194,620,437,328,438,226,815,135,249,109,480,804,893,789,530,520,579,
514,051,044,961,876,855,036,696,677,234,818,492,787,174,867,889,219,755,317,
208,904,422,040,181,523,810,184,056,439,549,257,485,790,444,642,778,284,438,
971,563,502,388,772,669,968,880,121,684,129,161,847,925,571,909,861,596,610,
567,604,287,441,281,871,980,215,228,906,760,040,837,487,043,207,190,741,628,
645,255,352,675,363,995,927,663,111,799,331,762,058,012,779,162,800,060,518,
913,913,356,316,994,554,736,445,530,367,610,596,557,052,950,490,152,824,710,
586,813,782,529,995,805,837,497,413,635,132,858,149,587,558,872,639,713,662,
785,627,982,816,859,973,048,341,507,677,269,688,001,300,563,021,809,334,623,
763,496,592,127,356,513,927,349,819,089,011,719,538,676,838,816,962,446,595,
022,037,046,285,422,925,800,278,434,859,457,955,793,601,309,872,203,016,156,
319,377,783,965,305,251,539,308,127,885,591,440,987,413,591,339,342,332,401,
651,018,179,067,130,925,784,119,467,858,712,252,666,447,062,996,061,954,087,
827,216,836,484,341,709,141,999,843,771,509,892,660,195,899,548,971,182,607,
384,503,903,232,364,100,882,000,383,727,774,571,278,588,606,618,630,531,058,
547,441,573,179,089,624,971,615,228,391,909,238,678,399,536,732,295,742,703,
208,701,903,719,532,613,219,699,217,660,063,550,232,467,433,468,195,729,529,
336,289,662,202,203,575,049,457,418,566,167,438,943,062,338,691,414,039,997,
585,945,322,143,274,893,659,476,872,576,093,765,136,982,512,201,140,264,964,
246,912,798,287,580,269,664,266,526,144,561,011,074,413,139,639,425,240,077,
136,480,142,389,025,066,448,514,458,486,340,154,963,034,081,040,161,085,921,
843,144,488,439,468,915,816,181,499,893,083,374,393,685,666,169,203,474,096,
764,085,794,783,428,809,810,892,056,244,963,367,995,220,641,009,453,525,829,
646,095,460,254,209,208,795,644,254,872,232,152,097,412,670,181,141,141,956,
688,932,211,534,153,797,398,498,059,788,368,858,811,505,724,294,512,063,487,
778,729,776,209,694,552,487,353,053,901,854,074,129,230,595,235,266,925,589,
228,268,265,076,203,187,058,067,386,198,642,276,935,624,681,485,796,063,006,
413,290,014,520,338,538,273,478,412,232,511,332,079,679,339,470,303,094,720,
857,853,736,944,483,066,032,585,666,901,484,487,352,292,133,380,139,563,276,
142,280,987,767,581,212,300,865,509,743,887,393,392,322,046,971,046,563,547,
946,910,830,976,229,360,472,669,770,483,680,392,840,042,358,108,367,668,283,
051,817,484,768,593,718,889,102,919,491,638,600,347,425,056,739,100,417,538,
837,095,772,531,520,207,305,779,303,071,586,019,171,756,706,047,622,110,587,
759,116,485,466,343,947,438,287,320,631,712,626,819,305,729,413,085,073,913,
911,660,342,060,610,352,595,693,765,783,981,931,720,055,662,170,709,934,422,
899,587,708,062,614,768,833,889,981,083,007,935,647,768,024,138,382,375,432,
215,209,412,981,373,009,681,366,201,663,344,503,597,899,996,642,202,273,557,
419,488,584,610,378,964,316,123,984,745,468,273,326,809,829,539,378,676,020,
963,043,474,784,362,877,755,452,724,478,407,546,741,074,936,474,815,921,399,
140,625,401,161,647,239,902,194,491,606,951,701,738,114,180,243,163,613,425,
064,692,883,708,102,277,057,781,841,609,613,692,865,002,521,490,728,308,805,
997,156,381,111,170,926,084,724,458,709,522,207,821,119,032,691,468,986,113,
429,522,914,092,461,433,506,668,335,311,890,739,610,274,554,525,973,810,947,
579,176,783,256,578,383,769,014,009,194,756,192,149,533,495,227,126,000,402,
537,224,714,123,748,608,246,047,088,717,220,336,011,815,124,322,920,474,988,
738,152,506,483,130,745,625,004,017,928,021,094,405,668,196,371,553,407,287,
484,953,514,429,852,991,018,722,906,746,153,584,507,966,510,262,984,143,551,
573,149,759,186,689,356,449,497,146,624,768,499,906,619,258,260,291,521,144,
731,532,718,436,098,228,257,868,027,278,210,405,366,035,502,739,572,544,517,
147,091,717,228,655,678,690,652,852,636,677,833,170,213,358,290,796,305,012,
680,039,525,775,497,089,524,651,340,394,402,230,531,946,411,806,147,854,516,
984,789,520,308,680,855,467,229,336,113,929,971,530,924,893,208,107,272,830,
350,349,875,854,213,691,415,004,549,190,127,637,813,080,871,723,571,754,254,
957,733,219,887,987,589,826,395,852,836,529,678,435,401,532,930,336,350,241,
564,847,688,292,877,682,022,853,887,783,598,661,244,135,205,796,282,856,785,
988,435,401,299,205,697,577,722,558,978,534,009,775,101,656,387,274,197,576,
992,899,498,994,878,531,134,947,989,028,772,031,360,133,667,585,833,772,642,
254,366,012,337,026,881,347,927,209,606,303,381,869,201,501,597,249,580,509,
404,058,139,626,229,341,278,038,538,484,061,579,749,351,001,190,278,675,701,
114,091,378,982,355,305,913,537,454,679,352,882,888,160,518,328,787,452,645,
997,863,838,126,549,497,995,577,853,898,163,625,542,810,291,145,260,952,699,
852,583,580,264,275,699,372,544,478,113,517,669,011,960,004,868,914,414,248,
397,800,786,974,791,329,480,171,582,322,829,711,988,281,457,016,648,173,764,
102,879,704,930,579,782,656,199,711,564,819,375,434,168,330,433,284,866,258,
068,938,807,283,359,451,336,127,993,202,639,724,135,809,423,881,860,567,192,
174,527,624,275,221,315,936,981,151,781,640,077,355,139,719,564,595,500,529,
394,965,713,982,036,655,074,696,288,103,382,639,883,772,967,185,322,617,481,
236,480,772,283,669,415,218,206,640,474,840,155,079,469,242,304,611,101,979,
351,403,608,796,233,457,726,533,444,817,270,651,309,092,966,336,028,178,222,
730,804,962,151,925,938,243,710,736,098,984,003,870,699,413,823,501,527,853,
391,889,693,893,889,704,490,326,502,224,743,406,046,685,148,548,123,374,780,
121,163,405,085,053,682,323,568,020,250,221,795,287,922,185,507,104,722,496,
262,957,708,292,992,451,243,455,339,085,409,938,212,241,282,906,554,478,484,
540,692,029,931,175,188,870,669,139,159,861,301,246,059,020,846,933,851,473,
205,203,239,679,802,069,238,936,882,557,638,423,527,630,283,820,404,286,526,
903,092,386,739,056,788,232,742,735,270,269,112,911,493,199,966,681,016,763,
240,845,733,158,230,313,843,820,241,698,139,004,612,916,464,381,094,253,744,
393,240,272,047,914,759,603,542,926,503,561,346,715,229,495,209,067,303,735,
611,560,261,813,501,376,771,458,154,020,423,459,221,117,726,817,904,909,782,
588,067,407,103,140,396,130,757,866,995,890,624,167,543,781,685,084,589,961,
781,083,640,403,699,600,640,919,775,655,019,903,957,966,773,411,703,808,462,
854,967,654,649,293,108,215,332,402,042,405,209,460,948,164,456,125,962,563,
117,746,550,527,381,485,077,876,448,087,338,823,707,864,956,339,422,486,981,
454,615,602,442,280,415,438,580,842,146,280,941,336,374,498,571,606,950,954,
156,424,680,932,987,782,794,470,334,256,432,525,022,952,167,472,902,720,884,
264,419,609,593,007,503,450,531,098,466,520,702,770,170,735,640,318,655,501,
292,392,237,163,173,793,090,348,268,753,613,346,950,202,578,418,585,746,401,
088,741,118,380,138,563,344,783,180,178,820,333,663,579,250,426,564,058,671,
717,698,716,173,720,898,955,043,865,218,895,209,240,150,778,516,217,597,431,
814,486,424,285,052,752,336,881,132,538,510,324,514,099,413,307,507,486,048,
668,447,613,539,877,636,868,047,272,790,389,118,868,488,811,662,540,825,094,
333,044,583,980,996,223,869,893,997,148,815,863,546,394,780,060,648,270,018,
809,566,546,571,624,527,129,062,773,436,574,897,606,807,687,023,435,111,798,
327,556,849,615,049,945,688,243,117,945,267,176,625,035,400,702,100,874,912,
149,443,776,519,292,990,552,006,079,403,391,574,456,641,304,793,589,034,232,
760,078,140,968,859,282,050,424,996,982,664,370,348,295,506,479,743,323,372,
358,013,666,897,754,617,373,208,537,333,938,722,973,520,956,476,459,572,725,
394,856,987,323,162,595,481,372,771,948,512,112,169,350,725,374,480,595,759,
755,952,529,057,560,795,780,570,071,087,384,650,777,568,505,469,513,377,336,
196,417,166,044,125,085,252,060,598,086,698,784,247,846,765,203,011,630,729,
977,444,677,476,776,381,125,567,950,396,607,037,503,245,354,023,588,052,058,
298,734,722,538,545,678,058,655,081,217,956,373,345,085,305,123,725,828,112,
200,017,106,460,400,717,656,511,525,809,014,193,310,383,959,625,119,859,973,
859,364,865,757,483,604,484,623,872,400,098,132,904,804,141,782,268,621,051,
428,205,801,875,589,426,304,158,026,680,205,978,075,964,182,926,479,995,221,
506,874,916,491,628,335,558,898,712,979,326,766,090,589,191,264,100,601,495,
346,988,380,309,134,008,882,879,029,176,637,490,164,426,406,840,008,061,858,
288,938,560,851,188,998,093,687,808,417,902,861,713,088,849,758,986,233,991,
188,501,762,615,524,442,838,874,096,931,684,092,014,139,503,991,371,417,715,
922,604,336,845,003,592,660,876,307,037,830,476,766,507,261,415,277,453,845,
423,602,441,942,207,398,760,734,404,612,099,852,271,544,964,505,110,808,941,
096,370,373,424,358,666,793,716,141,969,612,643,890,308,590,626,352,065,232,
322,232,114,118,294,256,859,495,106,584,824,305,535,947,291,436,056,015,319,
797,246,106,017,257,991,406,164,424,244,120,183,901,640,253,514,589,154,470,
610,319,307,319,877,870,663,997,496,770,204,292,304,167,111,765,824,491,777,
405,804,102,420,101,760,473,556,852,232,150,763,170,952,410,622,049,957,349,
543,047,408,701,978,552,128,367,865,512,326,828,799,159,671,171,201,336,910,
168,313,996,293,572,958,034,287,982,604,770,877,385,253,938,509,839,203,647,
477,321,184,196,774,074,108,864,726,222,760,728,882,570,404,202,006,043,139,
524,792,646,560,537,026,811,582,886,865,304,523,051,687,129,972,968,408,119,
104,188,845,100,015,549,785,587,522,742,630,896,951,278,912,827,613,597,352,
920,923,961,667,238,455,720,785,783,977,000,286,245,983,299,406,605,006,077,
905,012,776,189,314,039,152,268,225,471,164,068,679,198,331,085,104,400,260,
142,394,392,249,768,393,834,085,695,529,823,397,837,888,498,163,584,724,155,
529,734,540,231,185,670,453,962,601,214,897,914,506,200,003,193,938,584,383,
875,637,962,432,997,372,949,941,361,888,651,024,416,991,218,341,060,134,468,
693,913,183,748,088,879,374,951,986,506,929,291,818,702,322,419,025,969,439,
977,075,011,135,919,108,931,168,604,253,523,888,244,411,330,113,880,840,485,
288,245,168,630,038,666,128,304,829,983,650,623,416,415,347,458,427,697,542,
003,780,676,795,863,853,013,662,948,988,118,554,721,617,016,972,489,346,372,
985,205,955,930,377,391,911,111,404,840,230,313,645,634,775,293,758,423,561,
040,501,179,958,258,769,318,453,816,742,634,438,935,808,074,199,012,155,707,
258,956,311,885,874,944,028,892,702,175,933,524,071,862,280,674,046,772,428,
712,124,250,698,329,593,195,193,166,812,322,802,333,177,737,411,332,772,363,
158,457,482,788,196,077,314,727,452,346,919,266,624,139,726,309,588,989,230,
855,004,179,591,424,977,621,968,282,447,264,890,852,624,102,048,244,239,581,
484,063,782,941,268,599,370,192,306,847,648,748,935,673,462,570,062,242,867,
714,826,365,355,740,005,764,185,490,968,698,555,362,597,850,615,079,768,305,
344,330,476,629,305,727,543,895,595,326,704,598,057,698,678,849,319,751,794,
539,822,656,339,251,436,231,885,698,866,073,729,141,325,999,534,002,863,954,
666,912,156,560,724,493,686,926,345,904,827,258,439,048,098,015,021,249,638,
534,432,369,254,212,190,814,107,717,970,614,170,810,343,316,471,696,325,870,
098,345,184,288,681,544,270,953,717,034,290,538,482,022,098,982,987,277,989,
469,773,443,785,569,355,955,065,329,206,962,418,794,495,362,293,592,070,206,
855,793,734,423,961,526,209,155,835,768,787,240,833,553,415,877,106,805,569,
455,643,017,459,466,009,251,695,752,388,822,627,840,636,001,461,588,430,914,
293,215,432,487,979,545,769,899,128,535,897,876,653,458,249,683,063,561,100,
652,060,074,273,062,535,877,961,571,011,120,461,936,069,695,249,230,239,275,
344,283,661,574,638,050,502,837,942,181,471,792,525,168,519,287,751,537,459,
791,758,141,957,538,622,964,189,940,353,960,923,661,721,055,288,604,090,903,
952,895,829,705,965,444,592,123,506,145,342,024,228,692,926,094,771,688,801,
996,721,830,659,360,017,346,365,000,666,105,776,271,275,067,971,197,028,539,
492,497,354,399,112,507,364,868,610,706,164,006,202,979,068,688,996,591,867,
393,889,048,733,343,712,214,464,793,308,519,519,691,822,072,304,397,593,964,
348,416,578,672,386,762,020,960,817,451,738,418,254,752,472,817,273,546,203,
236,941,415,698,765,472,242,870,205,746,780,816,508,820,025,745,800,016,982,
349,464,648,474,550,579,101,260,152,674,209,346,210,482,906,249,372,696,068,
546,093,387,407,881,125,340,678,935,048,635,902,574,814,400,004,733,429,593,
257,358,629,624,930,924,421,012,533,733,397,988,140,930,981,662,955,872,248,
383,959,373,186,583,677,732,310,483,168,484,486,572,305,965,111,224,344,781,
339,560,954,245,639,305,315,709,730,139,289,044,280,266,235,009,528,989,077,
675,240,970,250,436,865,832,623,801,339,439,744,343,589,828,807,545,914,744,
370,726,931,657,625,019,798,589,563,915,714,937,216,427,736,159,523,384,505,
472,700,502,673,106,564,961,028,572,899,651,167,038,671,031,515,364,571,622,
936,490,884,635,382,638,709,000,676,575,788,704,095,153,318,119,804,596,075,
985,393,181,899,585,562,592,551,745,045,545,628,441,168,209,958,987,330,379,
674,793,947,703,467,649,136,320,465,338,616,551,842,665,743,507,447,381,887,
918,242,270,124,491,994,203,950,964,335,421,680,012,926,838,322,308,055,020,
894,712,714,224,509,371,336,465,400,635,499,988,952,493,892,641,914,450,580,
799,283,653,742,993,587,413,580,414,700,336,919,324,478,672,388,617,741,592,
556,605,772,618,676,721,469,779,053,639,473,186,501,254,027,127,806,167,127,
117,266,600,117,367,031,629,740,546,662,561,238,471,481,739,063,851,225,398,
594,637,933,125,187,179,368,622,883,382,075,681,508,142,165,022,652,601,936,
154,654,155,064,854,004,985,530,358,752,055,444,752,085,430,585,098,009,534,
113,244,447,710,958,856,716,512,184,362,003,585,774,510,071,558,040,385,088,
479,507,235,387,320,989,349,205,696,116,855,762,161,300,222,927,073,330,846,
471,771,340,689,629,046,422,917,610,818,686,636,181,163,902,412,044,075,823,
209,254,996,633,493,621,741,801,732,398,972,385,246,282,793,029,158,258,156,
864,313,696,626,282,818,738,465,168,620,840,555,546,429,115,015,200,477,217,
334,284,980,644,569,623,225,194,485,362,127,406,591,361,767,825,495,100,525,
099,696,354,356,583,631,691,520,048,187,169,040,659,476,282,249,890,604,296,
317,408,894,279,596,042,354,583,724,738,206,214,973,091,452,140,313,103,513,
599,939,384,200,205,588,412,608,777,948,239,297,427,915,077,353,134,533,946,
770,672,593,023,963,124,027,796,410,441,336,942,769,594,306,800,763,647,260,
976,193,890,643,490,312,142,472,298,045,379,288,513,408,338,174,741,628,383,
218,786,535,138,578,738,351,726,502,218,407,038,860,749,507,063,918,027,425,
191,021,177,821,736,993,730,852,651,666,350,523,016,644,208,158,766,706,686,
098,192,791,905,912,848,132,609,422,685,085,339,773,607,934,285,161,547,938,
380,361,374,076,801,159,984,030,614,294,541,973,561,320,763,812,937,625,819,
381,174,220,993,937,559,135,292,043,784,752,166,863,447,767,816,969,111,572,
293,450,990,465,147,654,667,050,941,351,868,502,529,242,694,278,880,725,804,
004,809,384,936,449,631,356,411,489,178,602,634,788,557,655,084,019,746,072,
491,353,545,826,162,391,956,765,977,822,407,819,792,460,501,153,440,143,811,
474,645,874,726,681,216,221,828,193,666,885,278,099,844,890,463,411,811,760,
549,689,220,251,501,893,599,511,078,752,880,398,633,920,220,098,534,364,830,
934,449,130,052,843,218,018,810,459,480,885,997,966,475,242,486,758,214,196,
780,368,854,437,149,424,463,121,898,233,233,122,323,913,595,608,100,915,759,
521,508,300,674,569,541,028,560,660,927,856,818,532,465,579,361,728,076,212,
933,721,796,656,958,911,382,865,769,723,563,754,474,139,542,535,160,700,481,
860,874,121,009,717,654,900,581,627,528,437,500,353,114,596,093,448,448,401,
685,450,967,797,953,689,692,072,791,696,831,213,933,145,571,857,773,944,752,
989,952,303,161,846,918,914,691,297,105,372,470,552,515,131,951,403,578,660,
997,932,462,070,299,693,290,107,255,445,733,225,063,378,576,649,906,945,467,
433,937,830,737,058,488,454,909,637,151,638,622,642,944,227,064,016,784,375,
907,350,739,061,352,100,987,895,202,476,593,803,378,914,269,660,391,954,320,
744,820,234,317,241,445,890,044,469,644,424,741,876,902,317,731,661,452,844,
174,336,337,546,840,687,998,085,891,155,113,663,047,696,204,121,552,662,943,
521,922,449,033,793,105,845,717,379,293,686,540,640,769,461,873,376,332,624,
537,027,794,659,391,397,037,469,954,810,418,780,410,145,116,980,066,621,649,
937,970,184,177,297,663,627,360,714,444,927,331,347,476,162,637,926,240,560,
376,906,941,505,139,573,412,010,843,716,724,580,545,284,874,476,391,382,973,
945,069,553,901,621,043,950,201,103,621,734,194,100,807,254,949,976,679,234,
329,171,275,249,712,828,810,814,233,263,425,720,848,118,337,554,979,117,433,
457,395,388,127,738,811,694,898,545,470,880,805,039,800,194,857,321,531,335,
852,927,283,568,764,179,444,954,879,633,749,569,007,895,296,026,580,477,386,
791,447,701,878,535,722,202,702,958,407,060,306,618,269,649,518,553,036,544,
350,654,397,586,115,480,502,402,934,363,888,442,754,872,799,878,800,028,111,
765,314,274,144,791,076,910,238,322,811,087,994,350,304,982,957,069,158,554,
766,998,552,816,849,380,258,417,545,812,748,300,231,159,976,327,135,973,266,
683,023,818,300,530,898,126,557,626,396,520,867,410,603,161,399,801,558,158,
051,999,360,169,071,013,732,788,425,416,651,341,716,900,866,330,101,249,561,
663,421,839,746,077,021,296,191,480,599,329,224,039,801,913,691,347,235,616,
134,874,592,747,775,488,099,218,852,524,088,422,698,785,293,980,143,230,247,
100,080,321,366,250,498,772,250,133,467,252,531,209,488,346,223,902,703,315,
610,109,238,182,711,474,443,489,255,271,469,073,837,214,968,226,901,450,415,
315,453,698,177,546,836,674,422,417,492,518,802,996,424,257,476,388,709,163,
576,557,969,929,127,924,793,076,776,192,092,304,229,510,459,415,560,022,534,
729,718,572,402,920,686,638,025,463,947,734,594,160,451,538,110,367,128,390,
567,554,123,739,410,101,473,566,198,396,674,826,626,749,471,994,061,890,245,
831,445,816,190,777,112,072,366,673,739,474,557,559,115,332,430,673,000,878,
811,512,317,264,488,211,006,215,094,543,348,779,231,214,402,551,258,124,369,
352,258,124,186,684,292,775,239,579,428,966,447,383,372,744,273,271,847,417,
316,484,092,821,041,284,127,969,466,979,093,892,235,871,381,438,304,509,654,
559,078,895,428,510,398,393,153,771,734,230,971,504,951,420,989,122,821,443,
935,025,352,335,073,028,993,893,406,602,221,891,062,832,302,325,815,462,963,
589,875,475,714,339,868,662,963,578,352,910,028,205,442,392,071,805,743,430,
145,458,003,754,183,712,899,111,450,840,219,682,465,488,450,855,182,310,023,
156,525,023,358,028,704,368,531,202,909,589,442,930,139,998,816,107,237,523,
109,802,751,948,788,312,907,343,296,914,708,683,276,012,338,027,845,376,614,
718,447,707,680,336,733,504,148,360,934,455,256,567,070,043,294,364,684,938,
228,107,471,696,662,497,776,690,267,335,280,432,658,715,751,274,251,242,055,
707,354,343,890,732,464,453,219,263,955,188,450,393,308,357,183,505,718,328,
897,889,954,299,881,838,453,224,308,561,496,123,859,966,947,781,133,532,382,
741,119,019,420,853,600,484,656,677,492,691,678,996,423,634,743,172,077,030,
101,398,132,274,202,281,049,745,970,523,579,584,834,061,363,822,308,869,404,
333,770,201,466,169,140,263,509,109,219,558,201,947,235,652,784,963,966,770,
787,339,395,764,092,310,869,036,208,485,359,008,580,606,961,576,254,728,878,
577,408,925,765,949,894,594,953,457,475,755,161,007,973,350,701,330,087,659,
058,365,806,119,357,773,079,704,249,346,992,834,544,045,740,222,155,880,838,
911,364,690,513,014,373,572,547,900,110,394,284,306,906,463,871,471,801,124,
457,837,427,981,464,821,692,828,793,103,129,287,561,910,067,179,280,128,332,
485,369,844,935,907,866,281,866,733,494,096,762,417,362,556,973,177,242,081,
623,485,290,200,963,882,428,214,743,003,450,966,533,276,810,173,447,646,947,
360,295,651,681,838,464,014,954,442,984,210,825,978,988,800,400,440,296,439,
053,393,082,487,514,291,062,704,075,223,569,396,483,257,424,192,116,323,573,
522,433,839,291,716,521,728,199,723,268,157,276,709,813,027,953,134,869,492,
844,234,533,119,325,346,610,909,947,402,017,598,716,878,629,418,490,583,174,
839,180,620,281,118,088,295,681,668,031,414,187,901,059,049,759,798,729,985,
469,975,131,227,078,737,860,408,308,178,391,353,287,010,383,903,860,390,468,
416,838,540,524,846,559,440,741,636,378,777,244,224,519,426,439,301,557,280,
684,258,295,675,693,369,851,354,419,101,227,398,139,675,930,467,859,185,987,
908,200,317,803,617,988,918,507,618,650,554,872,469,621,083,300,596,402,847,
374,863,532,928,846,579,934,519,843,864,104,360,489,955,267,522,784,482,351,
236,084,687,788,983,900,408,221,206,630,476,078,659,404,890,063,300,525,256,
401,932,216,368,396,856,700,930,990,025,109,222,315,111,325,592,092,462,211,
586,841,262,762,943,814,495,478,726,331,267,665,368,593,660,538,598,218,134,
666,550,031,691,190,001,854,865,633,701,911,172,544,641,722,566,970,620,384,
358,131,555,562,506,536,596,801,374,158,698,978,217,741,304,587,895,782,765,
709,795,246,963,593,789,736,939,864,388,844,045,973,997,972,768,373,420,674,
877,539,279,350,419,735,014,662,102,841,884,176,327,585,780,993,269,293,799,
008,711,299,399,839,947,884,316,691,648,294,824,789,397,067,308,855,948,398,
505,295,978,204,926,558,950,480,645,649,173,887,679,721,794,486,315,825,450,
496,575,982,187,519,823,638,984,495,644,267,931,294,099,758,306,304,209,340,
503,155,130,447,016,041,316,483,378,966,080,848,916,219,228,500,448,795,998,
515,433,201,949,462,412,231,359,126,923,800,634,374,308,402,631,581,890,813,
843,875,605,861,863,576,494,968,376,769,366,597,131,176,570,110,935,775,467,
997,323,645,042,754,909,889,661,475,001,782,121,319,635,355,024,200,716,780,
424,134,875,730,487,828,119,975,832,041,684,115,793,889,212,138,484,909,192,
516,120,468,780,628,502,424,611,493,230,333,153,642,319,354,448,677,663,681,
805,928,555,560,526,267,338,068,638,091,651,909,990,423,509,968,529,402,345,
056,728,648,238,965,675,082,017,831,520,292,604,746,980,509,176,768,331,538,
656,360,671,758,057,114,960,659,397,077,547,488,493,001,472,774,204,426,585,
345,993,971,784,308,639,779,170,052,926,495,198,521,148,164,695,901,112,671,
803,975,654,517,904,693,504,592,486,982,442,603,067,456,170,273,534,236,866,
315,066,112,939,667,815,939,831,887,986,042,489,948,521,205,063,124,882,430,
354,146,272,213,193,063,064,137,064,897,796,988,432,565,967,791,680,510,003,
911,133,187,820,868,862,959,684,434,131,455,721,267,187,695,874,586,757,813,
767,139,260,959,079,848,505,240,145,034,529,211,573,889,477,445,769,443,348,
031,146,753,548,561,396,313,155,276,198,548,793,604,903,246,849,489,620,820,
523,073,080,015,985,869,043,236,099,648,016,236,658,271,889,847,913,655,019,
243,065,974,825,332,920,031,339,124,353,399,950,523,184,394,246,056,712,708,
734,060,402,646,290,860,560,872,944,558,888,376,223,242,286,823,646,774,096,
645,700,131,601,405,892,908,822,308,363,250,093,179,874,863,920,490,433,361,
212,583,997,740,958,468,717,952,614,536,460,773,858,742,220,337,841,781,638,
024,502,048,485,323,398,879,243,160,052,545,255,092,528,900,690,189,253,495,
561,105,756,984,397,308,275,632,153,210,453,920,145,495,087,051,166,924,838,
236,194,649,164,414,237,042,890,436,128,187,534,601,130,860,562,782,009,170,
939,205,959,943,287,710,239,519,452,946,960,562,881,606,382,881,321,160,543,
535,351,074,017,350,884,445,627,982,370,452,556,290,744,544,467,428,497,023,
450,429,324,408,839,170,515,859,688,869,646,354,770,465,731,126,342,792,303,
625,019,342,560,814,357,849,918,744,146,825,973,997,167,698,897,237,604,540,
274,388,091,004,068,865,458,278,680,813,363,674,393,710,376,423,658,935,352,
389,215,526,402,403,325,273,438,706,457,457,770,835,047,612,225,490,465,216,
640,587,477,537,732,535,669,934,215,820,448,403,953,769,610,878,056,371,535,
692,075,389,212,164,638,418,669,306,268,388,378,555,980,074,904,447,185,223,
421,183,344,547,081,019,848,423,735,230,441,942,676,721,050,181,344,019,899,
261,472,804,030,903,808,679,019,585,172,110,781,733,431,445,062,486,577,991,
648,516,267,662,281,912,623,995,493,933,078,396,242,569,220,529,844,275,311,
138,343,294,338,839,011,308,401,518,726,743,947,396,750,402,633,735,764,170,
172,188,905,543,054,443,779,162,084,377,126,916,747,487,903,071,481,163,533,
997,370,265,915,214,800,742,826,718,462,340,092,211,543,629,627,581,772,061,
027,326,440,055,444,768,980,169,271,821,044,684,795,701,256,155,682,505,409,
633,730,934,048,141,983,799,798,178,318,288,845,415,514,771,689,721,105,412,
897,903,431,627,807,668,713,224,556,231,620,580,491,752,219,502,455,108,151,
949,670,463,210,741,898,999,989,290,117,167,780,790,058,268,827,747,622,831,
781,396,595,824,501,289,349,934,228,761,133,602,545,998,544,801,301,041,197,
584,551,321,135,028,171,606,816,645,397,232,973,989,765,811,263,733,559,914,
227,026,193,497,361,185,263,164,802,548,633,345,525,399,055,257,539,658,474,
951,169,313,128,203,958,777,469,936,527,628,639,064,989,258,850,409,873,319,
123,556,431,693,860,565,400,434,184,283,478,014,994,003,651,606,117,267,193,
451,111,404,403,404,686,348,911,247,157,602,147,418,757,932,465,197,115,391,
664,552,002,416,894,149,007,544,070,707,922,536,328,513,756,619,314,078,515,
229,729,696,199,839,109,656,059,847,285,657,116,579,834,486,897,400,974,843,
378,146,118,947,851,251,380,807,231,227,966,225,777,952,045,302,226,151,057,
873,572,692,654,822,217,722,514,460,590,509,119,914,016,872,038,462,848,442,
849,496,128,647,844,542,215,889,228,687,015,530,065,106,176,154,633,078,021,
929,187,993,318,297,763,400,282,433,067,825,661,465,853,808,062,074,350,508,
676,752,531,391,823,584,631,438,918,020,404,927,784,126,089,119,321,881,339,
187,114,757,765,389,650,394,371,439,936,832,661,668,444,337,140,235,496,070,
963,889,796,072,834,901,009,099,056,954,071,615,187,968,794,050,257,955,459,
564,700,959,563,520,472,143,860,214,207,656,460,124,430,527,760,842,968,485,
707,557,496,249,790,472,796,940,204,615,622,756,678,773,918,777,301,008,619,
568,534,739,059,266,590,597,661,859,367,743,386,381,035,363,787,745,268,514,
547,878,575,519,298,237,516,504,970,040,811,357,645,505,979,239,637,363,048,
703,236,411,766,602,738,064,869,754,021,931,278,929,135,159,399,498,405,079,
531,033,678,877,116,589,422,594,823,770,073,770,224,350,311,171,317,285,931,
723,504,336,361,746,970,311,730,386,780,652,959,396,877,740,580,588,439,890,
342,100,886,986,374,188,856,042,529,396,752,946,078,945,626,802,344,309,853,
959,210,820,256,107,302,085,499,449,198,127,683,748,360,646,458,568,339,040,
102,394,576,695,458,475,753,438,433,322,020,920,398,071,047,477,177,406,876,
298,627,964,334,085,363,559,561,123,387,065,185,323,068,590,321,141,478,126,
445,025,490,257,229,348,349,291,558,090,128,888,448,594,835,499,184,763,696,
216,837,311,775,548,423,273,279,787,248,506,828,115,818,354,743,883,700,467,
937,107,918,037,800,427,638,411,135,514,260,453,288,331,380,532,247,734,988,
357,413,603,163,463,890,550,831,072,514,021,923,633,860,610,283,538,725,109,
254,590,667,623,282,185,234,003,971,006,832,722,485,166,297,032,011,843,087,
571,336,708,833,379,755,498,097,694,740,682,066,591,986,328,767,718,297,456,
570,717,164,485,685,495,046,410,454,209,366,944,191,342,789,348,265,621,278,
994,297,667,256,967,409,313,060,171,741,574,099,479,701,755,087,792,012,833,
266,948,016,799,034,655,085,372,894,403,094,928,577,569,771,222,788,736,206,
629,275,555,949,830,788,961,377,499,553,984,652,575,103,677,009,416,367,658,
274,658,347,564,981,489,853,652,168,684,942,905,956,135,565,778,034,881,939,
311,215,652,926,714,150,259,551,190,531,651,552,404,478,320,829,921,871,507,
695,000,680,598,216,674,565,151,013,258,997,785,270,463,103,148,737,613,912,
511,117,358,800,761,216,836,573,688,576,464,231,774,465,766,044,845,707,608,
454,311,700,323,713,065,301,713,171,689,490,274,787,851,898,693,151,238,111,
294,555,549,598,040,961,635,907,640,258,024,703,258,202,380,417,691,982,013,
234,483,716,180,195,324,594,495,380,190,442,273,172,542,244,244,061,246,437,
699,582,261,960,769,130,113,470,627,538,603,348,203,686,928,871,070,444,978,
111,862,357,731,390,800,223,771,822,182,000,578,402,456,883,797,400,321,528,
731,487,119,423,230,495,961,214,548,307,069,527,716,012,088,627,397,978,606,
114,995,872,126,497,129,150,890,152,348,027,768,324,227,891,825,075,677,034,
913,594,930,776,209,071,279,295,266,688,556,234,913,902,473,526,788,309,823,
133,399,799,383,536,017,795,496,720,407,627,885,444,714,775,451,995,626,940,
285,400,546,951,431,319,811,123,280,062,274,480,262,756,648,952,571,905,694,
234,898,137,514,953,821,026,674,948,332,855,565,460,568,567,604,776,442,662,
620,847,717,483,185,164,536,539,449,251,376,187,642,755,089,930,087,032,330,
215,593,681,192,893,984,558,449,438,873,494,778,335,131,201,329,619,970,881,
241,984,236,264,434,760,107,373,143,827,154,270,285,208,250,242,409,741,030,
928,805,058,034,490,372,661,129,628,016,772,018,856,200,597,441,444,072,421,
601,767,972,221,995,096,528,480,196,061,469,681,015,840,681,185,570,753,333,
717,035,287,474,166,418,351,588,052,672,318,932,622,456,252,313,084,415,740,
001,133,205,064,782,512,128,176,002,845,983,973,849,745,051,819,687,560,289,
451,187,545,824,836,693,376,201,682,065,517,167,110,489,230,492,606,434,990,
211,182,274,282,210,720,552,123,724,056,463,574,433,936,711,375,606,527,522,
479,535,276,966,325,155,385,792,599,118,873,899,967,345,113,992,097,276,732,
100,820,758,878,224,481,451,636,617,097,804,882,725,784,777,687,647,026,604,
568,441,821,996,096,310,923,466,473,600,107,952,922,311,175,792,507,511,825,
612,233,554,207,347,206,454,215,436,544,632,145,987,908,071,809,632,201,675,
707,576,760,177,646,096,378,389,228,270,036,481,863,260,439,372,603,399,319,
674,879,806,689,244,355,923,218,798,825,732,466,625,910,323,768,611,712,833,
748,829,311,442,200,825,629,126,363,207,710,554,895,806,972,586,827,022,628,
497,010,018,569,939,449,956,740,465,993,999,886,696,218,714,905,535,311,810,
326,393,426,758,951,401,175,404,070,661,903,938,900,086,932,040,402,564,101,
887,471,853,265,572,709,384,153,593,707,312,347,957,204,957,236,861,218,617,
269,278,030,088,089,903,658,999,301,985,485,203,377,143,197,453,712,391,172,
655,666,305,671,423,588,861,905,777,688,425,968,492,203,608,868,860,835,208,
523,731,770,780,376,680,541,881,937,217,913,701,462,080,867,413,980,593,486,
682,553,951,735,311,352,983,835,007,241,420,867,775,163,893,208,209,320,247,
758,076,743,082,293,831,342,969,435,186,631,286,558,992,851,704,992,338,893,
054,854,198,487,542,173,935,303,665,592,248,420,147,216,214,473,132,768,840,
275,738,545,813,282,856,821,897,603,278,016,829,505,695,244,878,166,509,009,
133,956,408,763,518,158,812,330,057,085,284,539,770,516,171,948,204,381,336,
494,462,808,303,362,684,197,637,543,714,551,025,577,876,268,059,530,356,534,
558,498,419,240,186,725,115,844,287,876,042,155,251,835,396,680,008,391,758,
614,807,536,968,521,910,637,726,152,225,180,995,220,166,852,305,229,655,668,
490,524,474,997,197,646,500,697,213,760,878,410,970,559,263,522,363,421,195,
578,153,569,120,540,057,285,475,422,716,735,876,503,928,479,833,003,551,634,
524,665,310,290,933,807,732,798,831,493,940,484,995,691,492,666,269,258,225,
717,707,870,510,643,622,645,254,443,748,202,186,704,582,726,732,613,957,302,
433,038,148,624,378,362,067,931,319,939,798,075,456,588,014,919,871,379,143,
794,931,085,722,105,378,020,370,012,525,518,736,704,476,262,624,658,215,340,
394,305,256,678,490,406,795,808,612,595,927,420,460,102,613,457,451,113,626,
702,492,071,933,434,481,348,685,037,383,606,230,222,173,478,167,633,725,367,
916,379,087,711,765,576,656,170,511,386,314,930,688,351,333,878,791,399,022,
874,168,457,767,580,439,503,266,498,905,233,209,982,745,942,979,188,459,500,
368,940,390,809,366,666,791,709,823,696,357,088,363,171,098,979,630,235,739,
900,539,252,144,285,204,636,994,050,402,950,698,766,854,026,075,321,738,013,
802,731,122,292,735,385,708,453,370,524,888,432,950,381,369,230,396,419,573,
009,834,172,880,680,104,094,978,210,631,419,531,628,834,665,688,443,515,785,
258,417,771,989,881,731,775,973,859,533,491,073,179,175,055,494,835,432,249,
238,302,708,530,043,569,217,528,638,743,774,843,750,530,948,310,443,145,017,
893,240,210,133,978,188,649,462,474,837,489,865,083,913,459,240,662,848,280,
984,315,085,473,776,737,260,868,570,220,605,292,900,258,345,766,599,130,659,
866,931,741,653,765,338,760,782,062,217,326,946,974,508,228,393,976,721,285,
468,673,811,793,118,358,180,161,284,273,759,283,850,318,538,617,122,154,362,
044,437,320,801,082,987,812,170,383,605,017,302,254,898,792,888,513,427,223,
946,836,920,464,035,888,679,520,033,983,035,027,251,813,253,908,997,481,111,
049,320,508,889,965,916,676,749,663,825,344,656,032,058,465,590,583,132,535,
425,459,398,163,391,021,681,288,464,029,474,202,663,329,444,535,781,495,258,
664,827,015,664,393,210,163,138,428,048,508,322,323,518,163,106,687,208,308,
250,123,705,109,707,579,850,251,138,732,107,999,239,655,493,906,812,070,116,
951,844,090,160,741,409,072,233,626,432,743,547,929,595,766,812,092,736,783,
302,994,741,874,764,058,089,267,539,873,742,534,911,431,045,304,615,117,537,
700,498,294,637,872,839,972,338,062,121,650,513,344,153,738,187,132,848,611,
010,389,608,939,177,571,349,843,277,959,997,650,268,955,471,744,668,936,849,
897,511,921,352,533,175,290,633,210,099,392,198,736,683,773,235,500,771,467,
715,975,720,201,463,310,631,004,854,032,045,053,253,094,960,712,718,391,789,
153,202,570,073,930,689,621,337,895,992,181,322,304,653,598,995,415,481,202,
248,769,625,884,951,106,260,365,125,565,751,093,110,318,393,606,010,034,761,
789,627,416,376,766,882,347,307,898,353,781,479,466,510,036,684,989,701,673,
964,091,777,783,275,452,984,650,260,979,792,065,947,164,889,752,472,240,512,
168,725,953,912,451,719,799,750,657,786,660,396,618,490,825,837,960,646,827,
022,390,202,995,533,894,709,688,808,861,343,929,488,866,360,487,892,677,577,
034,075,048,280,274,352,648,581,213,362,811,036,507,347,075,766,712,386,562,
026,758,874,498,122,930,590,498,718,828,448,378,915,010,631,857,256,255,557,
639,718,786,117,733,261,052,163,578,007,230,349,678,474,352,950,869,698,147,
766,403,632,738,778,763,873,013,236,877,961,191,967,578,763,395,501,704,459,
007,859,722,034,785,709,980,551,812,144,877,705,468,165,896,162,062,969,077,
354,740,269,494,305,162,682,763,176,076,222,273,286,294,501,221,750,653,722,
489,919,320,434,455,006,761,678,433,051,509,470,319,559,207,732,017,581,694,
732,672,000,829,618,508,374,593,348,287,776,183,967,511,931,493,874,862,809,
751,274,574,452,040,058,747,080,071,184,543,503,489,475,518,472,635,057,307,
259,335,521,052,828,722,921,473,076,467,644,398,133,804,453,458,229,750,915,
858,309,173,347,803,443,124,738,169,190,992,359,619,978,777,408,064,267,977,
997,383,145,689,897,599,807,847,327,845,673,174,041,942,786,181,500,009,740,
445,105,579,048,107,120,291,057,532,533,614,321,446,837,037,685,996,288,326,
738,844,348,765,825,656,790,082,787,567,760,345,678,813,732,982,572,708,668,
208,824,238,823,696,301,375,572,987,918,274,921,153,990,049,470,161,270,884,
656,932,427,769,813,776,813,941,836,724,182,968,475,438,593,468,361,190,001,
589,244,692,289,966,197,814,993,316,516,939,689,792,690,333,177,543,057,353,
180,602,618,614,280,042,216,077,390,235,426,549,438,621,496,052,901,280,125,
755,182,425,972,337,072,017,651,588,914,566,371,963,866,108,633,773,443,112,
389,669,828,858,035,060,157,728,767,161,100,200,526,028,655,705,513,014,485,
389,994,330,112,390,431,660,111,756,936,186,635,173,477,116,049,222,406,667,
763,181,922,480,168,819,710,287,118,510,798,005,800,640,975,716,676,376,782,
931,445,189,895,969,636,645,314,057,085,070,687,999,239,527,060,308,453,480,
102,959,241,896,492,230,904,188,321,664,630,593,217,540,054,647,270,275,202,
629,949,433,237,405,922,340,201,268,725,060,021,029,303,615,652,582,757,459,
023,861,256,236,602,906,588,117,784,804,404,386,594,782,091,868,084,615,825,
630,466,925,822,492,022,503,416,431,490,242,683,233,700,357,723,260,799,276,
327,831,047,548,598,671,491,794,369,756,956,426,580,883,901,428,061,424,000,
109,640,225,562,669,798,655,847,565,527,163,272,558,537,093,013,914,814,759,
410,689,991,783,355,846,305,767,378,142,064,190,473,035,903,350,600,196,530,
877,153,902,701,672,105,765,957,176,758,675,901,718,792,169,153,586,329,290,
011,113,777,086,035,004,735,942,284,078,557,710,106,130,255,509,058,999,854,
102,908,341,319,028,903,794,886,455,932,546,561,220,885,280,969,869,643,534,
679,322,250,832,271,017,885,815,850,667,570,187,302,698,047,800,931,131,346,
006,996,896,108,187,641,399,454,134,803,486,477,040,086,560,354,416,236,269,
623,490,308,197,432,048,428,919,093,674,889,208,475,393,516,208,865,315,463,
363,728,746,962,733,429,329,061,492,099,142,678,395,748,061,229,539,386,531,
579,202,354,085,937,288,835,927,461,351,935,883,135,533,220,087,482,414,078,
357,390,145,903,271,743,585,096,937,118,801,371,359,575,443,943,245,672,431,
613,647,518,580,150,750,380,989,319,876,080,996,884,883,607,532,448,295,731,
145,495,317,922,761,756,268,244,712,145,492,571,280,088,916,047,326,934,903,
344,419,198,643,109,359,481,456,454,135,113,174,829,169,534,906,402,993,722,
552,158,781,006,700,399,530,542,382,087,142,014,292,770,913,122,470,268,662,
697,831,633,001,401,469,385,026,596,841,415,010,705,004,385,051,260,021,175,
242,417,903,237,549,785,721,518,527,472,868,699,587,119,388,557,587,915,881,
097,749,018,921,764,261,891,268,414,784,548,538,690,008,749,365,214,466,335,
473,029,754,350,464,984,620,372,709,909,120,100,591,501,694,575,135,814,592,
697,767,454,845,385,313,027,953,150,320,521,924,286,102,473,541,309,361,197,
446,435,619,570,901,560,871,680,933,249,637,148,815,928,837,055,969,418,684,
354,124,282,427,233,738,344,793,770,467,896,288,627,479,911,124,333,641,146,
790,504,624,678,400,686,815,187,267,529,062,623,763,643,223,422,451,239,140,
121,999,457,250,257,053,105,092,923,849,238,312,264,011,912,417,528,447,117,
777,118,244,284,007,013,683,974,279,325,661,087,913,872,936,304,149,442,461,
583,250,202,348,150,575,686,719,958,131,146,900,230,339,062,148,835,727,039,
010,359,124,253,346,110,595,127,793,121,962,871,630,316,935,746,376,494,322,
369,234,533,512,026,053,612,506,900,188,917,273,706,357,357,272,419,151,386,
555,748,783,747,288,665,919,795,198,005,874,124,882,749,702,854,757,497,705,
747,642,116,692,275,478,551,029,350,122,420,421,566,799,398,194,439,556,590,
124,411,118,118,778,578,318,571,498,826,274,270,299,921,367,398,506,544,684,
080,229,168,013,828,108,185,978,377,504,219,612,700,869,891,085,776,118,137,
384,686,473,263,955,488,041,600,070,987,393,586,426,601,154,218,411,840,560,
569,273,201,307,938,776,591,906,484,115,557,762,822,961,675,647,134,753,443,
256,345,226,137,091,116,720,845,313,133,986,740,041,095,863,968,075,554,315,
928,058,888,227,891,494,289,151,345,030,020,963,301,028,387,626,189,167,280,
985,428,898,130,040,505,298,202,836,713,392,052,612,900,843,483,421,295,510,
346,671,138,798,579,108,515,053,861,934,436,269,422,705,089,055,808,524,719,
078,217,594,760,092,373,583,199,239,053,683,359,532,043,918,568,144,531,799,
243,495,782,735,729,291,165,259,320,965,182,787,667,221,367,006,861,439,137,
265,012,288,588,279,583,223,196,152,070,096,606,369,095,111,484,268,369,380,
240,489,906,719,257,804,513,732,970,778,722,979,675,500,260,022,973,443,140,
551,799,313,387,515,818,449,668,078,641,012,056,887,404,967,714,214,307,426,
152,178,227,578,921,881,568,803,019,416,231,712,991,942,775,805,390,661,790,
801,583,700,912,315,050,541,638,587,549,622,731,834,458,421,822,637,883,129,
703,199,235,789,489,682,935,719,940,399,966,026,250,893,245,641,721,347,132,
541,550,393,351,025,536,353,579,487,156,248,440,287,946,898,725,672,856,536,
133,206,528,736,354,001,884,002,822,926,656,869,478,663,067,744,931,212,839,
403,777,695,229,744,030,913,403,947,156,854,852,560,791,177,253,396,298,899,
073,048,110,035,716,981,474,412,716,636,981,396,815,649,673,874,681,587,323,
566,142,996,073,287,330,072,284,813,956,011,691,965,272,983,324,340,967,087,
361,085,843,811,424,336,595,085,195,256,296,236,362,801,635,899,700,194,047,
131,429,183,607,211,329,818,625,645,444,832,446,306,171,637,405,786,167,884,
885,774,040,802,865,367,447,342,796,041,980,395,541,553,428,041,740,065,319,
293,674,615,252,701,529,969,189,320,669,139,797,923,350,773,515,122,975,342,
814,680,639,969,030,189,459,538,023,187,959,130,712,729,460,004,460,120,224,
542,749,596,797,710,003,007,938,884,148,713,209,162,542,926,869,444,774,681,
312,635,288,350,304,426,926,866,087,586,540,533,160,866,349,657,029,820,849,
719,480,547,761,244,232,855,698,421,052,832,367,792,653,322,763,045,776,404,
495,465,335,014,526,838,660,391,759,717,195,791,017,246,941,766,100,269,848,
993,978,524,082,526,215,724,522,548,144,320,775,454,817,808,778,150,758,717,
803,436,179,517,494,241,716,676,973,401,810,887,349,785,330,688,294,292,972,
036,362,715,657,225,474,146,704,451,806,987,439,671,969,845,976,120,331,231,
039,360,706,071,892,332,415,158,596,906,776,986,321,372,603,438,287,943,267,
698,503,319,604,689,170,027,649,761,651,856,521,478,905,516,001,352,316,891,
006,835,006,761,519,489,069,300,343,219,420,944,744,236,484,641,920,211,034,
341,128,180,221,629,544,876,799,521,249,077,020,759,324,444,286,155,508,857,
891,480,042,238,603,460,107,569,934,871,365,568,959,204,942,828,425,547,511,
942,432,222,898,992,891,658,241,431,968,062,021,685,891,321,077,777,998,418,
100,912,584,618,277,558,564,438,133,419,307,147,987,023,832,593,381,984,771,
269,552,881,043,686,839,994,845,732,486,237,746,796,613,764,791,965,826,626,
058,587,606,809,564,265,508,339,643,612,127,454,173,582,833,958,045,782,152,
941,058,116,734,374,126,176,953,271,811,777,415,894,584,435,982,144,917,611,
693,224,189,949,169,354,386,735,670,826,673,377,775,394,895,921,925,005,509,
336,843,158,606,175,639,570,036,262,909,995,916,888,259,294,675,697,463,988,
970,584,195,388,682,006,691,777,447,020,209,177,467,316,860,900,479,856,132,
984,447,268,297,355,603,504,876,339,893,595,172,446,839,856,648,840,576,436,
531,271,115,029,790,130,014,029,387,593,774,175,400,215,995,380,342,196,099,
554,673,767,941,187,048,888,505,507,416,088,119,106,490,464,701,007,375,967,
314,072,248,563,634,137,716,517,621,777,269,229,842,381,856,383,384,438,510,
441,473,400,692,698,858,144,076,815,165,930,381,285,945,243,591,295,511,215,
996,776,978,595,028,639,565,033,340,247,343,200,626,956,129,885,833,910,703,
570,159,874,369,808,966,190,353,564,967,334,278,764,880,232,304,948,144,584,
310,792,563,232,860,189,781,896,613,925,443,479,397,656,987,461,962,371,511,
532,965,393,296,096,109,694,966,952,836,122,970,360,212,778,559,784,277,062,
293,028,342,150,710,991,116,329,294,390,864,936,283,831,375,953,033,142,842,
431,446,355,180,963,602,307,336,571,650,347,538,629,382,672,884,206,062,985,
633,648,787,918,268,315,336,878,126,214,661,758,924,681,860,204,592,640,699,
634,322,634,707,991,007,540,042,699,891,572,964,176,891,482,236,333,434,061,
258,613,296,164,690,271,313,922,221,250,735,606,815,949,335,082,983,373,661,
653,251,614,734,010,930,000,286,154,210,850,719,458,785,297,101,725,486,364,
474,464,433,016,534,514,038,623,737,775,344,793,768,581,282,251,923,225,888,
562,012,212,058,584,093,191,960,891,215,935,548,959,730,389,906,802,693,963,
707,878,181,157,413,589,160,201,199,954,908,575,767,985,194,249,675,731,368,
096,007,699,789,788,476,076,014,001,434,174,876,410,052,969,507,134,282,321,
718,154,655,877,802,157,579,831,126,721,590,709,889,766,458,112,715,680,691,
964,402,435,987,395,861,996,069,677,592,185,342,806,336,099,873,955,106,564,
703,417,168,883,101,612,731,270,621,277,116,961,525,432,626,138,800,247,779,
767,096,746,917,817,037,315,057,229,836,467,677,047,586,090,811,275,423,508,
482,703,009,563,021,297,013,178,655,068,157,891,972,877,947,612,976,466,133,
935,454,517,983,361,263,254,170,494,895,011,549,650,750,881,065,890,141,186,
046,212,296,039,859,254,042,979,519,919,558,828,249,994,659,705,134,837,922,
095,959,842,955,438,286,065,200,628,323,815,472,271,595,412,609,730,552,235,
304,535,247,289,992,504,247,428,403,729,628,385,558,106,100,829,602,051,209,
555,710,005,573,390,693,221,725,842,125,755,471,745,503,323,873,066,429,214,
283,595,815,566,390,334,891,689,023,370,870,172,430,519,635,778,889,021,434,
986,871,856,218,055,937,405,613,887,116,470,386,783,106,655,048,850,117,838,
257,344,022,756,928,831,467,564,091,028,281,832,700,647,464,915,313,477,656,
684,617,764,705,030,620,650,686,832,270,567,821,729,798,222,089,538,780,246,
531,843,844,101,900,600,066,132,309,935,475,930,628,177,278,756,271,616,060,
402,626,167,386,443,872,578,848,210,806,507,844,776,123,487,503,650,059,933,
273,093,899,459,405,793,285,887,901,145,790,438,166,176,272,220,895,006,034,
848,975,935,185,104,628,382,973,714,814,197,703,835,104,632,805,814,738,288,
845,788,083,767,783,605,303,060,653,957,980,388,857,433,294,310,336,030,859,
620,155,611,477,461,026,908,609,603,665,329,623,590,667,334,388,056,220,132,
962,729,567,043,727,217,524,653,786,207,736,536,950,193,413,737,753,244,013,
795,726,835,023,556,081,410,855,084,087,897,199,737,728,134,902,875,676,413,
940,854,110,410,610,469,697,874,020,955,691,986,626,704,972,299,897,451,420,
649,868,314,160,281,122,274,416,368,686,258,133,660,610,722,277,501,411,170,
930,610,567,504,199,497,405,767,371,083,067,517,390,127,111,835,951,992,475,
822,435,924,572,120,730,700,904,855,031,311,106,007,955,452,355,914,510,755,
410,583,013,258,096,970,958,908,340,752,771,107,271,834,267,331,246,079,578,
080,629,116,484,619,842,020,534,789,235,304,956,362,707,997,532,806,604,528,
906,475,629,822,601,851,344,956,578,620,793,588,350,187,355,570,949,986,355,
029,820,586,450,426,162,836,012,411,469,804,251,198,652,239,377,089,872,158,
313,719,617,997,897,446,058,955,391,393,810,342,611,304,973,207,800,741,744,
778,517,152,568,245,758,028,200,355,003,240,943,621,883,744,737,979,464,301,
898,390,510,059,680,923,250,454,640,083,254,488,597,234,768,076,344,766,222,
767,907,472,102,455,483,048,441,807,389,038,719,029,537,139,647,486,036,502,
585,749,555,048,877,562,434,934,429,617,298,832,423,926,794,118,395,048,341,
412,164,572,706,146,645,930,542,449,702,577,699,088,957,368,506,652,124,138,
416,711,853,061,669,362,073,059,809,093,402,285,760,927,565,955,373,460,315,
898,518,865,482,976,321,333,118,143,516,699,646,579,030,382,485,777,560,623,
056,058,196,363,069,079,308,147,813,319,599,326,967,565,545,041,576,526,185,
556,320,760,694,073,018,959,054,391,088,362,320,472,783,271,072,810,520,731,
294,027,972,925,646,715,232,654,751,421,991,263,923,148,346,830,693,521,447,
746,349,630,129,853,075,047,227,100,539,921,044,344,284,180,158,537,274,904,
599,423,843,070,082,194,924,341,733,816,385,748,839,321,626,907,815,017,081,
231,403,284,422,400,672,237,653,182,842,002,582,741,965,910,616,693,265,684,
007,250,595,643,177,015,308,373,915,143,824,856,301,911,852,658,315,386,726,
731,112,249,679,664,377,799,474,102,906,333,534,860,944,145,118,552,398,161,
867,229,329,215,913,618,393,660,207,178,226,016,199,640,509,463,555,567,872,
831,485,628,873,504,831,321,214,892,974,904,110,019,363,584,202,941,421,283,
886,908,112,171,681,786,820,176,534,535,811,876,362,399,549,635,967,096,545,
216,146,738,006,966,541,601,240,601,323,565,705,095,230,948,703,491,067,501,
347,244,499,346,647,536,918,555,130,727,329,663,136,031,035,572,249,731,822,
017,883,967,081,133,427,481,097,272,433,463,468,956,155,465,865,800,863,902,
199,949,908,701,963,718,837,375,228,146,893,469,807,076,734,350,938,588,690,
353,822,687,860,670,696,463,092,298,516,724,333,346,509,144,040,550,812,884,
800,659,276,211,374,077,093,589,828,375,901,969,877,456,264,950,770,371,456,
998,085,582,302,713,513,086,806,833,677,952,854,934,751,912,722,072,468,971,
494,927,014,809,517,268,533,746,347,642,569,673,101,717,015,423,998,721,867,
046,344,343,044,808,910,829,276,383,480,850,759,315,689,808,822,749,275,616,
466,648,260,821,514,230,745,851,901,511,515,098,664,513,658,117,908,249,933,
732,969,619,379,928,210,476,180,540,215,533,164,107,349,605,224,191,571,037,
019,798,205,798,226,754,637,910,832,264,968,295,060,086,689,840,130,370,267,
882,456,446,092,059,034,195,958,200,211,155,819,859,522,741,318,378,314,993,
853,360,403,304,082,200,469,296,308,311,186,290,312,909,733,103,469,376,012,
968,285,375,060,437,053,436,692,221,308,394,591,365,207,441,856,962,237,184,
026,939,807,853,681,235,939,003,968,539,708,023,726,203,120,144,029,359,991,
746,611,289,304,892,965,454,175,797,279,234,631,458,789,821,266,328,054,786,
714,834,020,308,021,134,914,612,248,660,331,623,374,194,523,303,154,236,886,
059,992,792,641,634,344,022,126,281,496,310,219,719,437,351,400,675,029,230,
193,476,364,082,328,207,746,440,161,278,952,498,218,396,152,764,645,650,515,
414,208,633,314,006,125,536,751,434,464,784,511,332,969,171,240,205,503,293,
844,018,266,182,788,719,926,064,102,952,408,486,180,744,408,417,186,324,872,
419,729,664,198,182,647,119,352,184,668,611,512,289,562,618,500,737,941,952,
040,046,371,002,679,947,083,324,958,126,941,732,440,425,902,325,210,944,009,
425,879,402,346,215,611,857,439,008,560,529,048,947,557,511,270,041,063,496,
905,112,595,685,713,973,371,429,614,737,373,093,976,563,123,623,403,356,450,
513,863,886,154,850,121,499,597,937,614,690,382,074,627,222,770,194,848,792,
040,084,898,059,081,373,177,534,081,910,922,752,712,584,399,642,326,254,354,
219,850,089,988,951,335,076,893,666,809,801,180,660,479,840,109,811,592,730,
369,967,412,049,651,630,390,479,304,741,976,979,924,079,579,470,217,941,262,
876,616,369,270,869,885,885,377,423,882,519,878,242,488,572,603,276,088,468,
717,588,964,410,405,063,572,069,080,833,362,283,292,651,628,775,013,432,709,
457,349,983,820,478,343,614,963,857,998,593,351,445,184,196,222,025,600,107,
090,856,107,891,305,202,886,994,856,132,198,362,102,317,528,125,946,089,605,
532,456,800,763,467,384,301,679,390,879,473,518,258,537,531,699,955,196,513,
393,790,744,677,980,133,128,168,814,305,716,355,023,464,499,387,262,133,617,
683,240,377,880,256,672,850,046,100,103,024,666,113,980,953,406,632,396,475,
623,317,328,382,910,730,142,783,990,644,543,388,851,410,659,841,643,801,472,
696,911,356,436,709,099,347,745,153,292,962,696,233,843,196,138,153,720,928,
420,953,801,271,239,359,352,256,950,583,770,998,466,772,170,815,025,508,979,
327,876,393,022,443,905,476,077,802,505,686,649,539,593,482,931,666,080,480,
641,450,289,843,239,050,663,816,130,881,647,596,428,370,959,564,057,505,775,
342,595,155,632,572,493,589,605,219,418,440,242,493,245,176,094,988,468,470,
790,359,777,443,417,477,812,473,722,315,167,290,606,142,681,089,344,523,537,
149,655,525,878,720,339,781,362,051,087,284,416,846,547,555,626,103,236,391,
045,302,704,261,947,016,585,722,826,753,275,505,410,943,386,236,222,037,415,
999,178,888,185,459,857,789,671,831,901,093,708,526,423,468,183,900,145,282,
786,634,423,406,926,826,366,270,716,957,015,200,578,685,452,962,867,678,466,
555,071,192,858,588,895,799,480,297,787,682,034,001,664,049,146,392,077,276,
646,519,833,602,309,143,953,783,926,964,943,605,832,128,741,825,047,436,385,
661,281,716,444,040,019,408,759,505,113,124,390,528,315,753,564,703,659,114,
641,815,893,024,255,304,906,414,571,415,577,656,998,838,422,222,875,069,628,
647,098,551,527,922,307,328,183,693,120,448,551,011,829,495,036,909,818,537,
041,456,173,473,861,578,281,733,985,635,318,384,183,059,157,545,978,828,489,
968,926,953,674,565,588,203,504,255,340,861,842,464,921,268,349,216,513,589,
212,955,988,582,483,660,526,907,660,798,852,800,810,300,087,824,895,267,132,
292,824,357,120,347,625,583,406,308,271,149,730,616,482,443,589,319,150,653,
312,803,349,954,018,314,220,735,238,220,258,931,605,982,656,795,480,693,270,
822,830,580,972,773,900,852,849,788,735,854,841,094,112,105,847,866,669,019,
176,810,514,546,822,770,424,039,026,729,008,188,248,405,259,196,251,935,924,
770,044,469,488,766,815,527,415,638,174,922,763,921,018,665,854,741,217,183,
583,997,440,341,843,905,074,277,220,770,163,534,475,034,395,448,736,919,217,
894,819,872,926,405,168,255,653,341,157,060,375,766,090,188,319,147,765,574,
601,121,355,074,593,553,494,102,129,574,724,543,717,698,220,433,701,320,827,
051,637,380,989,620,378,588,557,215,544,131,755,141,202,055,658,221,533,182,
340,361,492,723,548,846,669,414,659,922,534,652,129,314,792,756,741,009,204,
980,389,376,876,998,696,790,124,911,077,278,089,589,798,450,240,853,828,524,
739,358,668,766,070,406,421,738,727,372,292,138,226,253,300,123,590,170,741,
414,096,424,970,454,725,596,861,361,257,453,211,032,092,310,253,856,373,807,
921,285,374,409,079,879,672,414,566,899,942,882,111,068,138,048,931,568,446,
636,077,216,790,040,984,021,613,893,732,028,926,374,759,202,283,263,296,541,
318,293,678,811,940,606,515,805,723,153,445,801,726,796,055,647,495,926,900,
238,627,427,105,696,383,291,189,877,113,448,083,177,338,802,995,572,786,843,
565,678,581,711,900,641,173,375,039,264,385,346,421,975,586,069,489,149,298,
674,676,113,348,706,634,157,621,552,974,094,602,819,456,304,577,997,831,130,
300,187,929,942,022,675,843,747,599,463,388,569,661,282,616,218,128,879,620,
439,581,963,597,700,322,134,188,281,333,645,640,916,420,914,978,680,488,236,
597,910,588,302,910,019,856,765,937,412,153,244,466,043,317,019,964,620,571,
545,641,057,865,349,177,368,518,294,613,108,581,429,695,808,862,303,336,481,
559,141,372,532,955,705,535,149,604,564,071,804,111,911,271,973,130,957,215,
732,534,944,386,816,228,897,591,945,581,580,431,642,892,631,831,348,033,116,
937,178,011,282,844,254,072,918,668,405,706,615,137,361,980,779,992,701,686,
305,628,624,368,726,521,426,736,191,385,608,804,476,015,590,005,651,341,067,
590,757,288,822,374,358,785,015,021,327,000,751,820,743,289,330,151,416,312,
557,540,567,746,309,912,538,498,562,463,787,500,678,278,961,378,166,247,773,
461,079,545,580,029,407,683,699,381,868,249,738,208,026,408,983,771,455,327,
009,636,354,155,333,789,440,720,785,221,659,793,751,174,498,249,270,041,027,
762,439,965,807,411,274,314,437,622,482,335,180,828,727,155,084,770,176,215,
968,366,666,166,523,413,343,752,534,286,880,876,269,727,129,424,906,796,397,
548,773,933,376,052,919,543,785,526,075,959,075,592,554,196,460,062,019,123,
437,251,907,223,997,708,717,424,653,064,097,865,914,020,995,633,225,773,465,
336,259,405,227,210,244,599,587,691,694,259,671,897,124,230,795,262,756,709,
382,497,146,477,734,634,820,569,975,631,367,435,476,674,973,730,390,680,111,
815,086,861,878,587,413,087,934,854,089,984,186,587,267,139,227,481,977,263,
025,760,516,695,749,156,622,418,840,008,199,485,592,214,960,861,354,113,747,
785,513,947,897,470,682,175,428,918,933,858,488,051,305,689,713,608,640,013,
120,001,612,526,963,914,049,863,074,330,674,921,604,696,394,771,034,101,574,
779,856,231,076,114,704,570,216,823,254,929,796,044,915,075,309,796,467,624,
217,866,981,886,222,421,668,771,143,394,389,325,190,013,561,309,828,414,301,
964,940,732,824,519,919,007,863,074,358,545,719,028,484,238,538,491,479,505,
795,943,138,376,625,951,492,309,560,598,850,991,861,619,586,471,591,515,833,
407,707,649,421,049,493,477,204,040,123,300,765,880,640,552,000,334,030,490,
327,316,315,900,848,801,079,052,046,718,837,650,226,401,464,707,806,992,420,
717,069,853,491,276,183,694,489,871,328,142,197,417,835,026,057,958,339,093,
368,805,273,134,940,955,206,184,005,022,465,572,204,273,538,549,923,976,556,
054,742,934,786,418,937,707,094,743,910,363,246,413,223,845,897,746,553,097,
415,222,007,144,933,096,960,146,085,053,473,377,638,538,722,281,396,648,655,
844,446,215,679,539,464,346,738,670,298,319,607,465,938,655,989,950,509,043,
193,498,049,233,928,070,581,994,562,013,738,698,429,757,147,568,085,706,633,
968,449,057,883,124,242,301,079,376,215,449,144,928,489,835,841,222,350,716,
461,724,649,268,043,618,232,824,337,764,941,353,472,276,875,413,519,533,008,
616,271,365,546,724,436,376,482,082,576,125,430,186,825,124,839,491,298,968,
512,100,071,403,367,312,007,924,359,953,582,948,148,733,741,871,224,938,076,
058,281,615,688,275,925,809,413,158,254,744,002,751,901,912,448,441,029,672,
521,205,026,533,332,095,204,105,853,423,597,023,745,396,203,622,162,675,752,
412,259,224,168,093,585,637,966,547,750,600,217,034,169,723,514,954,857,310,
405,222,484,797,516,922,651,719,824,840,590,748,611,216,368,260,982,206,070,
236,713,594,834,087,669,939,692,095,652,309,258,302,296,082,538,288,507,370,
910,955,409,729,207,119,322,350,237,674,458,649,646,965,850,199,785,814,968,
263,868,880,116,789,381,121,613,474,911,232,641,183,496,525,277,343,098,369,
934,484,537,429,120,126,521,304,744,028,173,372,429,837,748,309,715,193,830,
475,778,835,549,896,824,949,422,755,231,370,847,292,986,923,298,461,405,640,
065,712,005,773,595,689,410,529,464,045,825,322,571,807,287,154,309,324,314,
648,650,238,192,212,578,551,158,042,877,323,042,652,951,955,851,909,371,218,
511,595,986,278,103,512,878,194,924,870,745,755,539,428,340,179,601,134,368,
380,101,288,871,012,327,191,693,298,166,322,379,344,363,282,521,375,925,068,
494,683,263,071,069,713,036,632,159,956,248,077,191,579,941,467,381,132,565,
139,663,586,829,017,641,150,348,348,702,738,776,975,506,089,958,946,483,470,
794,421,460,284,475,103,929,707,315,481,668,213,578,515,888,645,525,363,894,
691,502,241,866,009,514,356,308,103,434,546,522,011,112,868,277,605,974,367,
309,806,209,542,350,991,472,817,958,588,916,638,019,854,166,872,443,854,483,
645,578,117,527,900,665,328,002,760,039,579,114,382,910,175,482,357,996,958,
602,713,574,435,692,867,752,857,904,367,891,729,323,015,894,504,060,163,359,
563,086,036,370,146,807,482,382,538,305,993,358,101,642,938,486,553,258,580,
855,350,162,804,083,822,984,654,789,023,124,176,305,377,190,569,989,888,886,
191,797,750,500,623,780,845,328,640,605,504,756,630,007,512,395,145,508,951,
583,539,438,497,027,500,905,473,856,955,711,638,240,563,459,003,160,100,156,
871,748,102,930,015,344,245,857,077,749,372,372,402,640,130,090,770,843,608,
653,060,057,818,112,883,937,743,977,392,775,620,455,479,339,673,376,771,094,
248,355,889,764,884,568,369,031,140,153,639,110,506,775,042,461,831,843,259,
670,343,453,015,234,551,218,786,001,107,541,045,446,172,790,073,839,904,812,
562,563,009,824,283,752,224,524,256,909,779,355,720,581,423,295,518,165,894,
159,709,714,415,113,678,251,662,354,361,228,711,004,066,345,912,984,112,151,
473,133,243,381,411,148,944,189,430,801,147,478,796,320,844,786,398,117,701,
450,780,401,433,363,738,484,619,482,965,737,186,404,003,678,789,789,502,559,
698,345,450,386,641,958,579,620,014,909,648,873,025,657,734,466,895,778,074,
535,952,643,945,099,757,789,695,305,535,586,264,269,867,298,655,853,995,675,
248,448,298,216,380,656,882,484,742,723,198,704,334,281,724,833,130,277,371,
995,779,665,373,800,510,515,784,753,299,200,612,117,066,438,915,170,791,482,
983,818,842,168,865,449,193,427,694,775,793,902,259,704,256,786,128,200,377,
404,379,078,783,015,688,665,127,657,387,712,542,634,995,836,843,525,806,354,
892,325,407,313,300,114,367,898,959,306,691,849,430,415,625,173,048,803,040,
789,997,944,012,007,668,475,681,566,353,425,563,956,427,397,685,755,686,675,
760,635,499,283,535,872,689,716,901,305,209,291,131,494,254,120,748,489,099,
772,096,497,985,626,372,463,210,689,037,384,604,871,409,423,673,724,726,785,
526,608,418,861,464,724,293,042,501,174,521,660,887,753,399,251,991,856,961,
929,237,374,249,705,840,532,940,823,646,076,655,452,543,648,286,685,361,593,
110,553,973,969,447,796,558,905,580,292,564,745,702,449,830,857,603,869,062,
716,318,264,180,013,879,068,067,918,411,130,588,109,505,409,636,324,263,218,
826,908,410,478,334,612,525,025,482,858,959,693,163,559,922,679,237,045,983,
069,114,249,777,643,477,118,155,639,010,425,864,231,124,871,760,914,687,800,
948,147,692,061,634,837,780,864,686,766,515,768,212,818,762,175,675,189,819,
510,295,074,741,257,164,355,990,895,945,237,903,675,493,248,973,935,175,836,
443,660,339,793,178,629,649,157,997,051,057,767,638,780,781,680,846,808,973,
697,997,642,218,779,783,448,694,543,595,295,851,347,448,671,134,581,260,631,
976,414,524,361,971,569,208,903,275,961,909,528,305,333,777,554,347,737,885,
005,488,847,683,630,326,828,508,718,714,328,607,703,729,202,094,148,889,716,
883,291,562,762,955,719,456,474,612,585,152,068,100,352,288,164,138,587,683,
261,764,690,750,252,320,067,414,156,265,005,595,771,437,678,828,812,693,953,
738,255,181,407,767,264,709,665,321,853,429,712,447,393,295,799,002,813,505,
345,082,004,217,479,900,612,001,793,620,117,874,602,895,044,516,959,672,069,
540,058,821,868,459,346,161,386,009,472,139,056,997,264,962,827,523,217,711,
463,449,271,332,906,520,363,042,723,883,099,221,326,299,017,215,648,543,667,
435,610,417,365,249,636,118,570,173,848,005,637,328,959,921,124,417,266,591,
022,534,111,163,276,251,608,940,892,545,042,023,582,658,076,448,820,634,246,
820,208,571,864,436,390,602,174,187,780,709,106,113,737,327,407,117,967,772,
182,141,199,158,944,694,239,351,707,866,938,609,857,744,682,951,993,497,709,
617,113,582,107,114,887,987,045,025,210,528,276,977,755,244,321,245,565,204,
664,526,070,427,068,069,765,656,938,857,641,187,833,856,860,572,818,919,943,
544,666,966,063,161,529,568,906,692,836,883,441,326,665,517,224,732,518,553,
723,114,279,064,273,998,530,254,454,260,032,278,293,925,885,245,330,163,363,
795,595,211,734,947,549,120,677,372,825,445,658,201,895,976,313,448,709,543,
744,056,582,838,169,984,276,015,392,267,175,964,551,648,873,092,295,971,238,
583,533,947,949,491,173,826,686,916,380,350,135,807,659,334,352,436,748,290,
396,506,840,279,779,550,318,405,663,737,960,720,368,068,455,641,295,136,746,
677,874,333,956,824,536,440,444,522,729,568,666,243,817,450,626,105,697,712,
451,116,232,390,768,386,412,817,344,690,791,355,339,844,931,421,598,666,790,
062,348,569,476,839,253,593,794,909,123,061,859,242,414,183,658,366,885,152,
238,655,947,100,714,071,738,288,876,450,576,617,543,304,869,416,415,905,761,
337,277,809,480,237,374,272,248,248,781,455,824,363,026,405,073,422,833,681,
349,105,404,320,073,162,891,058,461,695,922,053,575,958,049,514,325,056,701,
936,178,693,166,343,433,340,093,726,552,858,495,583,362,162,884,626,195,813,
304,171,315,509,824,292,496,786,418,537,032,391,676,635,018,057,603,885,980,
191,297,750,776,890,435,157,610,466,255,176,658,439,167,078,854,054,171,009,
762,967,476,274,662,180,381,914,972,699,510,845,274,002,654,292,582,775,068,
123,922,754,411,681,900,465,274,688,147,025,851,507,862,576,968,687,918,982,
445,440,780,805,732,280,992,134,129,820,164,859,768,278,893,220,649,861,287,
026,320,385,137,148,210,314,078,083,876,117,324,760,034,393,604,187,110,100,
007,050,990,540,423,908,013,364,414,259,080,887,885,631,099,408,355,417,748,
938,047,489,785,532,787,979,051,847,204,501,505,213,685,724,432,264,580,937,
616,512,130,885,551,155,894,723,919,730,771,706,753,051,754,874,800,922,824,
031,642,292,785,451,477,002,214,636,996,622,739,023,330,273,106,017,773,527,
787,158,286,131,906,106,517,761,752,159,181,369,618,742,597,255,583,807,927,
517,059,450,650,265,129,171,623,779,622,606,569,128,942,971,242,330,334,074,
488,975,092,198,505,466,823,736,551,531,696,899,816,108,870,395,092,784,430,
881,321,694,083,840,562,220,988,255,050,504,245,433,453,956,660,368,704,997,
177,399,178,192,345,875,030,404,910,693,790,232,854,742,612,872,764,884,124,
168,146,776,392,312,711,241,157,229,654,357,332,711,745,628,971,690,700,139,
207,663,117,115,908,076,948,526,003,666,300,583,037,545,777,570,134,703,102,
389,306,576,957,328,380,474,610,126,103,165,079,702,512,761,913,281,118,100,
090,550,520,556,967,265,061,669,882,010,097,698,208,485,863,358,141,819,180,
767,156,504,084,021,756,437,143,458,398,162,036,069,457,479,719,488,258,082,
955,967,377,250,473,978,914,156,587,448,190,001,116,135,414,490,472,668,247,
222,663,237,309,748,315,928,967,094,010,851,461,178,331,770,539,035,567,334,
851,230,357,918,830,415,132,558,610,986,325,807,215,113,794,881,167,941,692,
012,213,140,007,635,793,974,301,066,381,148,557,073,749,426,431,579,165,356,
246,162,572,130,967,904,349,663,501,824,768,553,294,338,219,411,700,060,905,
841,663,085,328,722,924,897,444,483,368,166,056,126,345,530,856,937,544,251,
387,712,330,322,303,930,539,653,499,757,119,460,852,986,227,522,015,508,496,
081,037,649,895,490,310,747,579,809,705,424,546,841,749,444,602,418,084,554,
219,256,273,505,559,136,825,751,113,446,829,081,192,102,063,169,185,191,430,
069,834,074,519,379,679,920,948,364,821,893,488,393,495,268,696,845,489,392,
724,794,062,855,678,113,029,179,641,864,089,927,920,537,415,191,797,954,434,
980,241,221,960,302,886,498,466,638,666,299,441,911,862,631,406,017,688,186,
764,702,386,757,064,291,447,954,689,240,123,856,418,475,363,156,664,413,721,
617,687,578,453,354,818,179,091,282,871,056,146,819,740,307,110,727,942,508,
022,003,344,958,420,618,541,391,878,238,962,843,373,498,822,619,624,951,192,
777,811,759,670,630,387,384,040,623,778,592,738,489,031,167,318,771,068,114,
743,024,219,578,867,289,261,601,027,928,077,234,776,408,173,637,502,394,978,
164,808,835,430,861,630,331,818,081,428,205,485,549,682,900,000,691,308,757,
694,683,912,106,518,955,980,588,234,707,191,213,591,370,336,225,098,076,429,
473,183,688,225,692,466,375,770,242,895,512,575,079,036,342,918,382,773,077,
881,774,581,208,358,580,008,588,772,716,619,701,120,273,220,260,542,599,111,
295,449,803,523,773,963,275,062,396,201,120,801,302,031,289,416,909,709,153,
887,001,220,160,656,500,826,977,987,508,984,064,510,115,020,715,991,847,780,
515,112,330,664,754,690,988,777,910,011,057,225,868,940,023,447,304,335,037,
534,534,028,550,319,030,535,452,087,913,086,484,302,794,320,346,351,662,359,
865,218,690,818,599,316,521,056,527,530,556,124,927,483,671,607,678,120,293,
963,364,709,883,458,600,135,517,332,379,648,737,185,788,619,555,214,940,308,
730,088,187,008,453,633,829,151,259,658,381,801,668,967,460,968,968,727,631,
964,929,768,807,703,662,290,489,524,302,743,662,912,487,678,037,360,290,906,
675,242,864,544,297,551,757,194,790,260,151,857,423,649,574,356,616,464,297,
576,404,668,099,193,347,367,445,567,774,881,347,857,505,679,676,402,925,876,
353,784,301,587,516,165,758,005,525,384,655,806,934,191,335,320,856,651,789,
774,892,440,553,430,304,865,858,421,137,427,339,484,973,477,721,857,689,927,
103,160,390,362,357,025,923,982,571,532,270,390,996,260,847,812,848,404,263,
307,615,656,914,460,986,348,673,931,051,393,855,691,302,936,675,731,937,106,
164,447,874,645,764,475,736,882,397,234,831,930,415,866,682,506,570,980,539,
122,072,833,548,502,705,189,721,503,748,051,228,971,817,555,882,077,818,652,
863,316,695,176,876,171,767,836,076,918,959,063,758,630,271,538,147,415,873,
311,117,385,843,946,933,776,527,815,797,878,507,664,559,726,728,089,365,545,
510,856,600,571,676,012,131,532,146,827,505,383,720,072,054,822,319,252,213,
197,067,375,838,336,857,677,823,649,512,615,698,951,470,494,436,284,212,430,
871,426,803,710,682,355,168,028,651,333,631,389,108,218,975,468,086,878,279,
626,494,630,542,166,661,129,563,800,752,098,669,877,360,413,900,291,558,628,
317,277,569,148,975,160,731,696,693,009,793,628,534,163,599,653,897,699,358,
128,344,065,143,436,437,458,688,907,425,690,836,404,612,751,501,339,343,854,
044,030,693,553,564,047,150,476,875,281,138,072,768,813,919,772,620,107,076,
908,807,751,206,665,585,785,706,366,813,700,669,337,326,839,933,356,951,275,
495,778,246,670,175,195,560,478,094,554,010,450,933,472,244,630,066,204,402,
665,035,071,711,920,388,329,575,170,050,158,540,608,556,148,924,008,973,083,
161,049,021,849,700,500,107,212,699,505,156,942,508,188,865,712,490,101,572,
364,380,882,802,866,752,318,476,389,068,138,980,017,611,535,442,908,028,539,
060,223,317,288,128,076,437,659,312,882,423,183,812,428,649,906,366,557,836,
801,944,398,411,977,001,208,972,570,811,246,016,984,080,162,516,083,755,610,
733,508,431,528,250,997,169,893,380,474,793,036,944,138,256,042,920,299,413,
377,272,654,924,357,477,217,272,818,296,380,251,049,442,764,130,459,783,395,
034,817,036,566,752,096,392,022,400,652,883,182,145,877,309,870,612,117,920,
254,671,802,938,761,642,037,337,397,814,284,983,042,560,537,283,478,933,644,
627,542,432,480,344,365,475,991,030,482,096,315,546,320,081,951,901,680,016,
505,589,541,313,140,694,048,623,644,775,647,100,376,618,470,612,937,808,669,
386,020,514,569,277,271,410,904,280,541,777,817,447,285,409,446,281,690,955,
737,625,263,980,210,182,112,342,082,067,458,308,206,700,158,206,466,840,294,
922,320,415,508,930,853,691,724,244,464,888,665,922,630,937,242,413,143,985,
749,230,006,886,231,368,835,999,725,861,701,725,974,546,618,365,988,999,681,
467,244,780,061,882,885,686,920,858,274,190,346,000,240,361,431,625,729,513,
399,905,287,419,810,239,657,603,397,946,068,831,522,374,812,881,204,776,489,
582,882,344,490,143,316,039,032,986,689,369,162,008,145,605,132,291,089,720,
710,237,893,610,338,349,497,032,381,592,601,101,366,508,142,473,024,018,228,
646,036,391,751,569,412,527,625,524,844,542,413,581,639,587,707,251,356,296,
377,676,410,412,437,164,738,138,294,784,380,271,685,936,005,132,095,109,370,
664,851,861,722,783,098,018,915,563,649,937,549,199,942,786,329,601,156,406,
813,321,955,322,452,941,117,498,415,603,698,863,916,692,396,756,384,275,461,
239,821,893,455,332,574,405,424,228,630,525,305,328,099,541,002,804,675,713,
199,544,148,319,077,505,379,832,828,671,448,195,901,504,648,243,250,557,011,
655,300,605,661,741,678,673,030,751,431,197,604,839,738,883,862,049,968,621,
777,760,428,042,990,465,628,645,003,691,122,370,655,500,810,047,036,444,062,
067,214,287,241,852,655,217,240,694,491,319,455,558,262,413,176,504,896,363,
926,287,621,196,379,116,210,310,012,534,403,896,133,787,869,054,107,374,552,
968,324,616,559,958,339,682,419,664,452,123,204,580,083,879,318,039,495,829,
073,372,577,601,121,350,118,804,869,498,462,430,326,507,955,010,034,092,656,
931,411,778,058,276,690,334,279,257,180,758,558,150,871,813,779,633,403,559,
249,974,405,727,662,443,854,787,547,591,877,497,148,782,664,351,681,762,148,
959,318,182,647,462,251,481,665,222,596,616,486,843,200,115,418,948,151,414,
197,867,644,175,657,266,462,984,394,208,817,618,193,348,511,803,873,873,932,
246,366,468,841,649,362,968,800,401,693,589,921,605,185,946,625,274,556,463,
815,645,788,963,804,431,478,095,009,216,191,158,814,772,627,953,807,565,168,
213,523,156,631,343,746,346,921,610,525,219,884,158,156,471,315,596,670,686,
686,105,996,974,652,502,851,583,785,808,727,888,181,019,077,621,403,368,035,
544,760,914,070,239,284,723,611,769,934,319,662,098,419,761,345,090,550,352,
286,071,397,061,126,968,723,628,759,251,244,663,125,867,383,014,343,324,965,
032,083,540,208,907,957,999,043,121,447,335,452,511,310,203,798,154,326,803,
366,898,582,834,892,897,869,642,519,796,046,677,601,951,656,692,011,464,040,
883,570,585,678,752,413,736,139,493,477,294,800,768,339,508,763,657,557,804,
498,328,334,581,834,455,657,484,610,449,327,071,366,236,717,020,361,298,493,
171,908,231,795,516,782,732,764,610,835,782,001,663,507,239,211,705,391,898,
852,487,218,121,433,366,788,387,317,471,338,960,752,291,836,988,216,403,109,
386,937,260,640,664,935,085,382,758,718,109,818,702,432,540,125,924,165,356,
582,490,112,114,964,881,312,346,454,786,324,618,785,787,842,222,961,879,652,
499,321,078,392,296,815,517,179,087,124,798,767,312,704,790,911,109,841,042,
375,392,570,302,408,363,894,912,959,322,877,341,897,414,731,235,012,476,863,
227,245,541,556,593,276,531,521,260,153,514,441,464,924,004,412,718,909,905,
110,956,569,096,758,478,453,295,361,176,564,583,470,112,497,862,120,792,478,
444,845,650,371,232,185,546,864,520,671,116,215,291,160,267,032,078,523,510,
249,658,622,074,418,784,754,099,595,252,837,735,593,169,411,489,925,516,140,
383,104,922,900,205,245,044,552,454,019,196,079,348,573,378,467,837,569,040,
431,514,177,917,829,752,653,113,518,559,204,676,998,553,435,175,790,059,476,
954,512,885,741,444,906,326,957,267,332,148,755,078,731,326,630,282,700,315,
740,001,819,024,613,053,548,354,456,822,812,158,542,266,754,251,532,912,735,
579,129,089,170,251,280,490,036,173,925,346,490,983,085,829,480,640,749,917,
837,774,561,987,705,530,893,759,580,037,278,349,478,337,734,129,055,227,700,
151,224,284,836,988,762,718,061,986,584,927,452,573,167,991,570,124,554,637,
663,505,311,899,580,559,363,356,741,288,018,463,455,215,444,038,337,085,785,
278,965,163,986,816,973,207,280,425,247,934,307,867,665,769,265,857,654,159,
904,465,802,400,801,309,817,516,114,894,606,225,313,023,710,319,487,344,278,
458,685,660,957,558,091,173,873,055,820,076,057,203,472,963,691,988,954,087,
185,092,239,743,603,367,072,262,267,825,737,408,360,477,194,895,679,283,261,
948,407,221,686,505,003,308,579,513,096,049,916,066,008,365,053,607,022,438,
498,336,038,121,325,771,858,885,220,143,380,060,920,637,172,944,018,319,188,
446,272,542,789,074,626,370,880,325,157,185,883,760,515,920,132,889,786,684,
940,828,083,572,610,492,491,926,017,750,024,433,785,459,777,930,845,194,104,
146,628,417,865,978,208,505,927,854,759,163,608,406,713,102,320,906,623,522,
579,075,818,946,418,737,913,514,694,000,441,551,551,690,337,488,903,974,654,
328,745,979,787,415,194,119,431,532,982,909,451,157,737,210,955,548,639,545,
494,110,394,076,460,836,297,589,821,325,921,580,219,311,642,484,632,306,110,
215,871,281,681,387,846,640,938,061,781,483,429,828,439,578,837,855,918,361,
703,477,376,780,603,832,169,020,606,436,550,357,726,781,755,252,375,980,420,
931,684,098,935,077,850,893,323,556,184,096,283,973,599,726,137,271,469,473,
626,714,091,283,758,724,094,731,942,270,942,011,790,951,973,102,314,945,733,
508,222,029,986,545,420,064,328,729,759,777,019,665,176,911,091,552,514,630,
336,717,760,969,284,625,425,481,201,566,368,395,968,815,491,498,125,033,780,
049,909,549,080,446,688,160,921,200,120,623,186,293,553,519,999,075,158,023,
827,533,105,582,754,336,586,392,452,869,339,087,580,449,244,545,675,557,335,
536,256,071,170,905,427,831,182,082,310,158,442,869,160,503,922,632,995,880,
342,295,875,269,398,263,446,618,903,566,406,136,419,931,462,495,885,826,772,
833,392,441,361,674,598,491,841,351,549,700,361,489,871,747,025,202,980,587,
512,226,692,144,972,592,005,752,306,168,187,154,499,562,152,849,047,294,063,
190,061,291,137,384,654,980,030,026,615,050,122,693,717,449,884,704,834,012,
754,067,087,169,247,630,324,181,700,422,527,655,713,292,359,386,284,500,972,
496,851,849,240,476,460,713,560,468,845,211,409,365,335,894,929,110,303,972,
557,494,238,732,174,512,821,813,129,893,550,041,565,814,594,531,053,542,770,
159,128,645,325,441,565,651,899,577,736,914,775,082,666,166,242,628,469,919,
008,206,009,994,331,723,827,455,635,487,444,881,093,353,488,420,405,626,235,
563,004,353,904,724,144,410,631,405,942,954,862,626,812,786,062,965,881,909,
251,735,755,506,129,958,648,539,666,196,369,787,591,992,145,452,893,104,321,
838,306,382,716,608,521,525,531,306,148,556,011,092,940,831,858,906,286,386,
455,826,751,295,059,723,916,048,464,202,099,760,170,166,421,298,126,744,454,
805,489,567,879,702,735,150,918,064,309,607,615,922,134,227,261,829,782,961,
701,287,889,070,208,638,456,350,859,122,308,557,665,155,819,719,644,434,659,
969,915,110,098,851,714,531,873,923,120,245,977,799,332,134,999,604,209,784,
610,965,048,383,092,266,053,886,737,345,212,404,750,634,822,957,162,527,471,
342,765,878,582,534,431,787,719,852,947,718,911,582,960,434,343,209,033,845,
971,233,879,277,407,861,912,750,584,333,435,402,811,046,747,992,643,230,519,
998,869,729,302,535,486,343,784,910,627,616,952,137,207,257,143,717,318,898,
883,485,953,786,776,785,257,009,979,722,735,185,060,633,213,458,582,382,938,
507,224,836,468,299,212,860,735,746,118,862,476,035,366,638,900,362,986,436,
331,740,853,414,348,271,636,319,107,771,966,204,186,907,684,597,376,375,845,
908,824,552,270,562,780,776,641,529,512,103,860,779,852,168,778,364,171,909,
229,750,037,296,939,937,889,583,862,586,496,835,646,815,533,140,748,236,002,
799,752,624,225,822,793,365,112,805,061,174,075,067,033,109,835,272,937,660,
319,819,477,270,408,444,909,073,570,732,574,045,792,379,269,466,801,544,357,
682,056,712,687,023,888,085,122,007,753,653,318,455,496,573,216,545,646,662,
122,648,515,521,857,973,326,715,330,119,763,299,172,541,687,929,154,050,108,
877,176,508,040,543,497,509,076,837,864,231,249,452,305,318,080,864,027,179,
292,187,202,371,482,597,470,653,645,975,550,164,245,697,817,576,170,813,646,
446,475,474,128,864,885,859,942,173,940,371,879,690,656,868,258,600,459,121,
433,389,447,146,097,712,106,928,582,032,841,746,999,828,005,319,665,220,820,
896,113,856,384,277,326,402,425,673,545,787,839,700,223,447,332,618,275,629,
568,233,292,088,543,523,807,181,410,171,982,707,192,809,160,385,849,819,328,
771,330,399,235,546,380,196,523,293,323,017,271,450,423,531,264,438,763,610,
543,249,785,673,195,240,905,681,970,712,944,634,839,099,262,637,513,495,691,
934,695,247,259,501,057,215,325,167,937,283,262,423,380,158,467,637,929,788,
490,921,245,420,808,960,923,183,167,250,136,716,845,509,501,731,879,999,818,
923,907,362,666,161,083,139,995,892,691,507,551,669,404,311,549,057,806,081,
415,681,074,359,090,986,187,697,768,369,761,969,252,983,743,038,515,243,480,
248,575,582,034,582,322,279,457,394,126,227,981,608,601,845,280,826,671,986,
336,978,995,982,205,137,693,816,636,219,600,740,194,434,306,830,250,854,905,
910,204,250,556,293,595,490,111,559,227,355,929,979,265,102,890,938,176,984,
712,089,838,503,269,704,670,082,427,103,293,496,999,444,857,695,164,342,828,
996,227,456,221,552,642,020,149,161,723,657,475,509,635,005,689,635,285,543,
329,064,132,510,791,986,699,472,966,274,791,466,003,697,469,319,833,728,415,
192,322,625,595,322,587,031,115,298,743,389,695,786,515,186,981,495,438,571,
222,373,205,897,696,966,221,973,902,323,252,151,876,748,110,695,679,242,979,
509,434,912,081,101,305,362,256,022,294,553,990,072,338,493,375,570,702,795,
318,701,640,365,223,460,754,089,266,299,518,633,515,097,693,545,878,510,480,
381,752,864,595,094,746,625,089,618,225,810,925,061,999,745,912,744,156,360,
064,077,286,167,573,685,764,880,619,699,795,137,658,590,709,843,190,841,984,
842,211,835,513,846,359,397,750,951,922,669,589,139,769,301,560,288,046,126,
525,590,539,664,147,172,568,280,511,075,922,792,611,620,404,377,555,060,671,
129,463,900,094,673,034,881,473,686,819,961,905,954,692,794,889,410,186,184,
615,920,664,321,556,212,633,261,635,792,701,895,385,771,672,367,977,734,487,
890,516,044,089,298,693,469,495,729,823,460,451,386,706,141,026,695,892,738,
331,224,452,882,944,364,005,200,908,141,325,834,214,879,574,261,825,953,092,
132,952,968,899,704,049,968,214,007,940,103,280,576,568,003,844,820,168,718,
622,319,084,702,877,606,824,466,081,166,350,298,034,301,103,968,506,617,430,
426,983,633,973,455,112,631,187,420,443,928,629,510,631,587,167,166,710,581,
995,180,901,620,097,017,437,459,078,896,521,708,723,324,020,352,432,333,697,
928,176,477,384,786,272,526,575,448,631,826,964,439,140,729,457,507,424,861,
541,657,972,010,506,021,992,496,040,062,322,943,247,119,638,653,347,969,584,
365,647,874,320,945,106,026,701,363,536,200,108,893,794,386,647,786,310,107,
922,022,278,081,099,589,693,983,525,773,245,683,920,425,727,414,755,501,378,
226,460,363,001,953,491,552,150,626,087,219,615,614,583,485,503,381,879,064,
428,111,835,329,689,326,779,067,911,717,216,605,442,957,485,906,280,883,689,
567,689,083,000,593,288,280,839,489,739,411,084,749,649,818,663,944,803,349,
989,544,264,054,118,692,564,936,546,416,701,085,484,144,816,871,209,865,889,
403,561,425,755,897,545,179,469,845,474,442,179,798,651,896,665,810,719,321,
658,289,437,042,816,922,783,819,506,198,693,423,442,450,264,688,267,691,859,
719,080,641,070,761,155,056,399,266,413,507,353,290,168,615,784,756,076,098,
030,981,487,351,130,561,461,836,412,767,230,906,566,941,831,723,954,950,217,
314,954,841,819,890,529,426,964,410,993,137,031,582,068,113,907,352,102,886,
691,001,977,057,786,402,310,375,941,654,765,494,465,004,523,883,917,900,996,
764,342,050,822,322,580,586,595,563,766,264,549,757,241,064,232,895,150,064,
010,266,603,572,376,514,180,469,133,905,944,469,215,126,776,399,275,062,525,
388,899,572,587,501,940,983,305,373,849,580,330,619,189,441,833,660,768,990,
058,516,614,733,808,349,202,740,891,949,329,358,113,104,239,892,592,371,724,
458,952,236,231,430,825,852,400,990,618,430,313,771,737,960,381,031,173,532,
269,651,659,093,152,145,198,143,343,270,607,051,839,786,313,939,068,357,875,
889,154,805,673,155,068,495,945,603,274,583,329,586,298,072,215,429,745,760,
287,463,854,537,329,913,329,543,967,726,485,353,987,098,568,036,149,320,607,
882,331,086,728,062,457,835,759,944,561,854,013,872,676,245,382,666,179,943,
866,780,655,428,318,133,305,505,847,121,561,527,409,832,370,227,349,877,541,
201,734,923,975,878,384,522,508,052,440,685,714,748,340,086,445,113,935,604,
630,875,403,292,768,557,852,091,410,596,159,571,276,580,644,520,096,644,265,
425,879,568,744,741,601,846,480,966,732,769,885,325,955,766,646,891,508,882,
708,339,717,468,868,429,018,668,193,964,657,843,672,648,832,562,958,889,942,
588,163,261,416,170,159,172,270,010,056,831,659,917,746,392,739,683,516,805,
531,346,622,030,388,388,154,963,125,072,200,008,811,328,581,451,423,548,964,
244,638,434,924,447,627,956,982,632,933,909,674,861,028,053,162,740,588,109,
955,358,237,267,454,636,083,216,657,764,459,547,954,969,141,756,570,280,146,
066,617,552,133,922,404,412,264,386,690,164,824,376,867,015,502,310,588,812,
038,765,557,586,826,822,888,055,550,467,140,635,332,790,526,989,282,112,041,
163,740,084,808,311,532,011,066,292,476,916,564,463,814,348,245,561,032,215,
025,576,650,174,193,516,934,446,812,300,460,863,393,638,554,864,046,540,382,
314,333,527,042,163,654,539,589,091,576,396,474,641,568,670,386,520,610,882,
909,641,546,102,800,159,077,486,309,114,430,763,012,041,255,570,841,247,995,
173,201,988,514,742,266,163,561,238,908,460,924,594,350,509,095,948,551,925,
088,918,475,239,679,984,238,918,240,703,108,479,131,583,644,730,033,510,035,
639,482,685,650,163,454,384,771,971,539,454,805,588,175,601,306,514,031,745,
733,485,296,591,907,681,495,425,774,569,368,010,152,243,199,425,938,375,363,
850,794,859,737,129,554,235,943,536,847,032,566,439,863,650,470,662,609,168,
937,555,413,463,794,892,786,507,955,213,820,891,331,335,088,475,921,640,458,
529,588,296,171,031,226,152,103,771,858,288,431,679,255,370,289,485,708,586,
802,659,117,635,547,507,725,677,995,339,267,911,224,508,587,400,629,841,053,
251,110,339,468,665,924,371,860,107,966,941,677,909,488,221,118,508,351,562,
662,729,518,441,766,662,217,627,183,743,271,103,233,524,289,814,527,154,488,
548,458,237,482,675,304,985,004,260,346,902,865,476,428,152,296,170,580,161,
551,184,925,698,058,977,488,041,240,433,397,730,093,134,052,612,314,591,066,
363,874,993,752,485,805,318,988,355,518,995,739,039,108,926,748,765,962,719,
030,640,847,528,522,477,063,239,779,456,472,950,153,748,818,284,373,700,458,
760,285,067,132,276,055,713,432,222,235,867,911,781,205,431,300,250,955,080,
368,035,807,931,804,483,932,748,360,375,578,051,807,816,486,135,477,172,258,
712,713,817,785,329,632,100,700,052,108,031,423,817,744,081,894,606,846,374,
949,967,322,074,500,925,474,798,203,171,482,883,045,867,128,643,047,896,454,
279,988,667,512,316,461,130,514,496,425,588,385,745,389,251,355,975,782,934,
695,997,188,736,862,836,053,608,139,490,137,207,324,435,517,104,559,543,519,
040,125,669,169,345,056,223,324,259,831,245,148,952,027,510,240,417,398,821,
850,588,848,966,151,329,351,118,640,624,828,908,579,460,189,399,102,401,662,
599,013,225,239,459,882,550,495,021,192,420,155,269,309,491,286,759,639,193,
402,392,776,262,290,205,799,405,577,174,638,966,380,916,901,475,229,992,257,
606,331,162,124,276,189,007,179,407,791,258,351,591,215,146,266,299,298,931,
221,968,363,553,458,800,421,163,110,599,433,840,090,543,469,788,042,472,602,
562,097,071,169,633,160,303,251,989,881,882,419,862,539,670,348,330,632,805,
954,272,171,588,006,701,319,095,918,773,146,755,787,116,892,685,960,976,498,
674,385,706,134,451,617,123,717,845,442,654,141,864,350,250,170,556,920,345,
371,400,260,892,539,055,115,909,484,385,417,203,894,290,494,783,921,799,642,
443,908,721,817,020,602,766,598,014,238,113,285,540,020,923,399,116,836,507,
598,237,188,995,982,190,690,028,841,881,077,643,496,497,671,347,532,119,723,
734,559,246,165,952,409,392,394,159,171,612,062,384,820,941,901,174,806,801,
882,499,688,804,878,292,254,943,150,854,207,809,240,834,917,174,423,403,097,
911,376,365,473,591,570,784,970,972,550,976,495,755,566,824,441,298,765,527,
241,674,871,011,873,021,650,846,459,552,418,474,180,334,401,065,533,387,744,
639,220,911,038,844,354,160,489,411,473,612,737,325,814,261,188,083,742,052,
494,676,730,009,890,172,324,008,251,277,199,564,298,612,624,325,555,328,320,
098,816,784,071,118,392,853,721,852,155,360,555,262,953,423,561,196,692,479,
827,653,086,623,379,789,379,830,490,163,525,034,079,910,231,618,735,687,160,
868,896,450,568,329,734,600,182,059,373,618,542,236,683,673,919,868,411,292,
885,033,975,023,524,772,947,379,200,443,877,817,615,272,508,561,035,282,443,
806,750,948,599,341,341,119,541,554,006,929,385,545,587,381,314,547,582,504,
179,011,281,713,140,144,045,812,779,312,797,130,367,248,686,579,049,608,543,
380,995,840,429,740,384,555,557,973,137,046,554,367,580,896,794,156,518,315,
272,002,690,993,352,207,769,477,260,886,409,149,753,584,954,952,662,231,331,
215,242,747,986,379,424,025,112,096,080,477,661,976,829,199,365,238,425,914,
718,060,955,126,619,057,167,653,915,037,284,040,396,048,904,177,790,631,498,
931,588,153,337,774,651,217,153,983,759,329,559,668,911,423,952,516,353,470,
585,738,055,896,860,580,956,580,422,608,300,172,661,424,529,148,950,466,087,
574,508,498,633,709,757,539,515,981,799,922,154,784,043,773,942,796,377,471,
737,576,162,848,322,381,775,509,422,765,023,640,735,021,278,941,380,244,958,
582,421,243,596,072,366,355,052,225,760,505,687,506,137,281,280,866,931,695,
188,052,050,895,009,349,131,438,307,739,223,345,384,922,592,341,979,836,443,
612,460,982,341,172,370,738,063,894,579,022,370,788,639,765,744,192,491,590,
035,533,754,312,248,101,692,803,378,935,909,360,897,604,199,495,799,730,389,
120,768,506,207,415,033,012,599,538,062,040,903,201,355,187,056,425,570,918,
530,588,100,909,657,197,778,262,529,357,157,361,677,400,152,848,671,585,102,
291,146,910,371,261,115,983,809,865,886,991,945,984,187,838,939,262,126,944,
466,661,520,194,766,423,931,010,814,238,334,089,760,444,196,350,550,002,503,
270,013,132,750,212,425,556,100,746,363,095,509,770,323,999,025,848,745,259,
300,984,359,181,753,283,786,243,029,436,404,806,475,600,994,300,245,069,404,
225,330,831,980,259,623,443,312,438,510,265,598,641,194,560,538,814,698,533,
092,002,714,277,820,462,331,810,475,535,417,789,727,107,549,703,009,640,730,
088,095,983,107,700,071,256,561,612,224,104,309,179,516,323,479,744,714,184,
093,827,655,542,577,200,311,927,380,303,432,054,543,531,340,765,132,277,695,
851,112,142,028,850,017,858,200,218,811,156,620,451,291,068,870,372,652,436,
791,933,523,939,662,767,124,057,928,694,994,283,761,710,958,301,950,887,590,
543,592,221,883,410,240,128,735,343,995,355,245,043,684,232,441,455,557,856,
048,407,528,227,752,429,381,977,026,035,223,007,466,425,066,848,484,730,619,
122,714,416,795,432,902,867,080,849,606,728,823,958,949,038,681,240,715,752,
458,259,306,329,640,278,606,053,705,426,212,487,354,410,973,496,526,553,218,
988,104,086,977,603,812,655,652,844,913,536,668,416,971,162,986,762,877,555,
665,850,287,935,668,705,814,668,106,354,413,788,020,542,480,713,733,040,545,
414,471,663,801,881,927,809,377,209,502,421,120,336,080,742,937,088,235,721,
520,582,724,483,368,757,201,780,410,083,070,488,697,866,061,416,795,704,377,
732,944,918,334,008,258,686,802,526,691,194,561,777,738,035,501,085,693,039,
514,441,552,654,150,748,332,892,875,438,220,738,782,611,165,873,122,369,124,
980,768,764,428,645,783,319,732,170,958,471,873,766,305,925,632,715,420,703,
479,115,535,298,749,823,564,039,307,722,375,204,748,408,802,529,521,846,202,
133,469,197,997,529,972,162,625,767,886,013,498,828,800,519,092,285,660,561,
144,696,598,560,736,201,729,824,249,869,819,138,070,602,280,929,487,247,546,
796,892,069,611,711,763,988,438,648,740,851,738,126,905,454,884,636,817,089,
999,490,749,922,538,576,673,452,057,741,006,532,658,633,889,235,881,804,506,
948,549,688,354,503,215,786,486,136,452,918,464,156,756,034,131,077,288,616,
366,833,949,230,682,000,863,419,799,536,673,900,531,996,125,368,182,211,598,
817,181,106,354,603,417,554,847,498,798,888,210,641,441,179,404,610,589,951,
119,655,674,176,212,846,601,078,576,649,050,788,844,684,900,869,626,549,098,
970,527,638,819,822,298,336,452,641,623,115,787,217,656,972,013,522,493,409,
788,833,076,031,554,163,710,382,473,762,592,706,423,296,740,120,422,099,421,
702,033,086,939,712,527,544,571,828,871,420,367,218,693,079,930,889,686,272,
070,482,255,205,949,670,412,009,901,341,609,859,140,000,438,449,008,413,617,
687,375,340,408,585,793,811,557,148,006,856,115,869,263,552,314,059,416,388,
259,904,519,245,449,894,073,551,044,763,720,588,683,263,573,711,732,775,838,
896,277,108,222,562,910,821,378,231,426,286,522,603,239,691,848,044,880,990,
103,636,566,617,715,444,381,942,721,536,940,634,714,078,697,676,494,955,945,
198,052,088,559,549,731,538,332,962,336,283,524,277,445,045,715,179,524,388,
017,431,066,282,053,561,914,005,323,355,874,385,539,550,001,666,963,399,650,
119,773,745,421,831,182,065,460,753,561,517,565,807,114,049,925,958,685,176,
673,604,113,097,357,105,846,555,474,223,685,636,143,501,227,169,314,310,102,
234,792,766,129,364,874,687,952,396,418,074,174,010,269,295,744,344,458,994,
462,056,271,399,228,287,237,610,343,794,758,718,582,923,857,198,321,486,745,
444,937,144,735,127,734,940,335,935,827,259,382,158,724,114,296,521,567,838,
978,404,959,856,020,902,949,778,139,253,084,544,873,757,471,942,701,186,836,
147,652,394,844,837,344,477,221,128,183,319,318,945,526,418,299,283,523,106,
529,400,469,964,365,924,306,509,619,563,643,535,069,362,326,676,802,878,515,
288,585,060,410,601,491,834,061,660,175,754,278,780,019,300,851,822,810,765,
107,085,537,645,905,356,756,297,022,471,661,808,987,532,518,544,937,924,808,
869,274,068,637,604,576,305,843,160,289,411,645,043,637,675,557,878,347,273,
480,093,007,631,829,593,089,739,129,351,439,287,819,503,772,543,554,533,463,
752,822,035,836,340,297,205,479,636,578,101,286,931,494,459,883,771,206,594,
304,848,209,727,634,331,028,407,752,143,261,408,173,620,021,866,719,761,251,
417,006,048,034,409,544,925,414,444,209,100,575,456,570,833,814,977,019,395,
525,344,629,649,613,208,650,283,397,548,733,331,003,067,720,214,586,966,556,
457,178,538,994,186,275,423,416,505,299,693,862,805,982,016,025,277,017,332,
778,649,362,629,992,438,105,795,827,126,884,005,822,860,260,992,688,809,081,
295,529,919,725,492,613,059,072,216,578,596,760,348,567,902,523,804,258,637,
364,626,505,136,839,731,115,718,348,601,375,775,692,502,680,996,529,353,971,
628,835,878,728,593,562,360,841,139,751,972,981,148,024,873,306,629,515,798,
542,596,336,130,929,535,853,765,362,947,713,253,800,908,132,150,978,402,612,
122,730,790,900,974,253,799,198,194,237,403,629,895,569,806,892,483,795,493,
701,072,029,168,268,035,236,342,614,740,408,497,604,344,349,456,921,061,519,
250,657,773,307,544,363,952,799,999,517,521,761,042,715,515,203,700,386,420,
992,880,028,908,596,474,064,271,321,848,622,640,891,124,992,555,573,642,848,
601,381,101,382,866,047,998,980,345,808,827,171,022,563,911,049,253,342,900,
874,962,100,352,425,399,348,642,139,090,572,940,723,090,680,447,521,281,791,
153,506,709,549,869,266,588,364,641,028,182,520,620,270,517,259,493,444,766,
820,473,958,130,491,057,981,310,228,685,356,667,925,348,803,032,137,379,632,
104,404,626,905,683,310,428,140,984,330,635,085,401,319,450,626,067,111,272,
378,005,151,448,059,484,780,068,112,326,702,925,829,303,002,633,117,875,254,
976,135,863,871,494,430,417,322,954,601,433,823,200,433,700,230,986,661,760,
261,421,535,409,413,523,088,421,422,138,292,066,486,404,553,254,599,617,005,
214,021,796,605,080,719,339,769,528,653,596,758,048,396,550,190,553,196,129,
991,290,855,556,406,374,297,955,331,202,289,891,096,974,116,799,353,161,495,
703,749,065,440,027,872,636,422,037,166,789,089,746,299,767,857,301,936,085,
283,473,068,612,616,872,802,469,919,363,968,235,051,720,503,235,884,014,777,
481,474,300,088,217,625,456,809,233,044,456,150,665,303,734,706,434,957,486,
461,763,558,438,973,482,926,952,674,772,523,983,047,616,696,156,954,963,760,
013,464,360,131,980,285,319,742,184,628,663,322,054,134,560,812,923,960,321,
039,961,849,854,704,392,301,487,337,338,083,338,980,706,228,538,184,639,788,
301,310,674,363,252,054,828,749,732,708,608,716,613,062,124,606,333,884,860,
703,073,585,731,447,667,824,078,870,812,372,383,872,530,995,873,474,758,928,
088,058,599,789,066,175,203,712,462,659,524,128,297,300,393,747,339,561,265,
506,508,806,150,932,846,062,350,626,299,484,668,745,593,173,471,433,212,938,
854,577,844,363,873,495,764,559,338,120,456,224,391,265,257,532,682,210,608,
937,023,246,290,958,479,215,912,729,740,208,883,633,675,337,528,449,560,916,
878,968,016,737,635,091,535,855,391,814,471,529,876,430,195,838,731,855,896,
931,836,162,306,554,112,456,618,635,167,908,331,397,862,180,983,084,414,452,
664,715,954,069,522,446,310,149,445,446,434,301,502,217,076,381,283,034,659,
311,887,268,075,996,133,039,728,636,140,369,608,386,967,842,842,695,903,808,
963,363,048,825,667,136,289,797,281,362,929,857,897,348,068,040,549,646,409,
765,541,553,483,901,524,478,175,896,200,616,476,386,702,751,392,966,299,702,
968,190,157,673,573,954,666,147,329,682,741,253,295,482,453,672,827,934,063,
468,691,592,360,016,185,623,499,179,745,730,179,962,076,255,582,655,144,664,
745,866,659,689,753,336,425,622,504,288,219,278,852,677,368,559,787,151,831,
118,662,307,873,728,985,190,899,055,886,626,318,662,301,821,637,927,854,787,
129,001,981,091,967,277,661,091,365,621,800,880,914,433,717,417,243,220,551,
535,489,652,356,048,286,436,788,101,472,372,961,893,554,839,937,270,332,147,
230,537,743,459,526,238,839,215,149,272,880,240,558,249,090,750,240,994,165,
331,554,470,762,392,676,247,923,764,897,334,378,348,115,933,586,364,444,168,
919,807,283,858,815,959,338,771,125,770,886,601,417,495,518,035,368,965,391,
718,076,002,501,324,601,152,388,206,280,769,822,464,755,456,093,234,397,358,
939,830,975,356,213,259,253,343,329,002,070,275,064,441,057,426,161,992,052,
230,976,090,593,110,881,475,764,804,385,795,657,355,578,389,109,957,537,139,
553,200,505,346,815,487,456,659,419,693,202,378,942,730,435,945,192,531,603,
207,736,257,466,245,541,111,577,835,397,265,038,335,787,450,683,934,707,375,
043,847,512,516,829,726,253,952,219,620,847,060,828,619,721,830,055,630,404,
991,570,955,721,241,328,541,766,065,595,604,030,385,042,658,572,353,423,790,
245,212,385,412,292,624,644,313,579,875,964,309,243,913,814,107,986,316,842,
176,342,830,329,236,236,544,207,495,904,032,158,271,225,472,546,874,613,570,
802,586,036,733,133,896,637,123,656,490,507,342,553,293,334,428,967,774,411,
973,458,355,771,140,707,407,783,369,717,667,441,899,381,125,445,658,766,149,
209,814,303,890,744,658,236,451,644,137,855,208,270,129,403,170,556,082,294,
737,600,575,822,546,604,083,171,300,400,651,297,367,231,304,899,930,757,452,
402,320,613,666,811,772,180,982,907,697,430,144,292,161,293,009,842,115,397,
624,342,422,135,689,835,725,301,994,427,890,918,850,265,591,802,897,513,806,
065,007,214,035,130,396,990,318,759,553,536,435,030,306,376,416,069,564,519,
873,890,954,532,457,083,249,353,853,963,815,129,554,062,295,975,487,200,164,
574,842,482,535,967,676,691,185,416,264,513,228,262,971,772,469,568,668,732,
838,533,622,447,523,601,512,911,848,750,029,075,545,024,238,797,944,085,835,
344,251,083,137,024,811,109,145,525,951,060,615,354,415,790,811,539,559,588,
467,130,660,107,545,351,325,846,484,864,999,561,286,127,191,777,233,113,755,
129,800,892,981,012,440,856,470,897,763,906,784,736,619,184,465,839,457,994,
028,831,948,246,660,052,221,424,307,849,644,216,513,099,652,754,371,034,690,
375,172,963,006,002,899,937,623,179,205,022,525,014,448,894,578,146,764,254,
563,973,938,794,113,006,332,561,244,043,980,104,894,488,968,784,014,228,306,
288,504,875,347,220,921,507,100,982,971,944,217,872,571,401,573,853,788,197,
912,161,358,507,098,353,403,724,954,981,585,861,870,220,097,585,273,412,665,
741,606,107,503,244,259,496,723,462,094,431,307,603,647,275,233,550,040,496,
336,891,352,343,726,147,246,848,310,740,624,692,835,498,826,037,897,350,558,
953,310,581,483,314,889,798,218,623,652,916,539,784,945,792,894,512,165,823,
769,143,064,187,750,532,167,360,908,003,556,338,790,901,993,314,861,438,102,
935,593,372,152,062,877,795,804,061,604,891,543,887,770,456,126,530,823,583,
771,339,194,459,347,896,453,392,783,833,416,285,561,662,079,066,743,556,947,
456,326,872,259,018,449,581,215,299,630,882,299,086,962,396,059,359,090,103,
243,098,078,020,220,425,464,983,818,289,525,166,970,975,206,719,360,234,224,
965,531,785,578,518,887,798,441,997,731,770,743,205,897,984,306,807,885,730,
082,692,735,651,322,677,580,411,991,518,190,945,357,101,392,378,533,024,402,
105,643,419,549,015,726,504,761,043,384,614,174,151,856,877,908,209,875,009,
685,035,349,868,430,654,842,218,884,978,423,186,059,793,067,501,087,172,299,
246,532,484,917,525,884,757,898,175,835,045,698,496,941,758,821,440,895,346,
137,367,335,229,322,905,267,205,073,602,416,411,510,524,778,150,689,601,362,
917,397,021,456,632,304,422,720,462,829,945,868,704,485,022,122,730,807,407,
589,827,339,742,188,369,839,102,482,993,289,796,677,480,315,742,807,716,108,
239,211,804,053,337,187,117,592,888,022,495,630,384,684,848,528,747,871,541,
535,293,074,351,264,813,807,065,635,197,697,404,617,319,862,614,690,552,823,
446,127,133,126,922,270,558,240,628,383,058,220,777,466,113,245,857,038,510,
047,859,404,659,302,422,443,430,837,004,315,830,548,747,765,925,697,614,592,
686,017,966,939,774,530,080,264,214,024,035,480,348,461,554,482,307,136,031,
923,958,775,121,452,557,221,916,303,602,086,555,561,800,157,364,830,133,609,
440,334,613,780,879,903,516,325,800,174,399,113,619,291,056,269,599,167,857,
926,178,186,669,155,132,119,780,941,371,115,443,718,514,167,677,511,463,666,
136,922,328,594,006,147,347,146,474,737,730,796,876,282,531,335,947,707,073,
502,384,229,379,617,240,128,239,534,272,366,730,910,108,052,709,166,429,541,
732,461,691,542,211,956,318,182,541,263,678,997,920,326,064,989,655,095,844,
497,841,320,042,543,872,214,198,996,711,877,882,867,000,349,420,797,075,721,
280,281,588,207,838,420,080,260,995,413,301,873,836,745,496,143,223,853,598,
751,590,139,353,842,022,665,596,751,381,238,488,604,161,302,210,917,425,360,
336,524,006,561,997,766,215,387,024,253,504,947,636,764,870,302,182,793,318,
449,964,357,062,365,222,959,477,879,032,881,758,256,071,795,181,397,338,367,
211,031,587,006,665,949,936,192,578,798,537,343,867,541,655,711,761,904,431,
562,392,617,505,996,235,951,836,733,054,283,944,947,169,501,454,876,730,317,
110,364,266,162,220,039,306,627,034,660,373,083,521,633,185,437,290,178,831,
331,063,104,521,128,116,126,595,761,275,201,923,920,482,752,619,308,982,601,
793,256,096,229,264,456,105,530,172,122,621,543,580,530,623,862,008,372,168,
966,500,407,500,062,635,062,034,194,470,146,380,196,251,278,045,568,907,904,
243,762,494,970,502,417,530,837,188,470,228,551,045,903,866,725,669,353,369,
652,784,675,113,510,544,126,657,406,914,007,645,214,078,922,236,429,078,032,
430,909,000,389,571,668,497,028,972,171,715,022,197,823,217,621,359,402,196,
063,121,333,426,898,348,351,363,644,751,131,551,471,803,034,942,769,366,938,
198,321,639,179,668,193,961,908,115,746,393,996,644,126,226,221,729,076,423,
430,931,580,318,750,819,672,084,460,315,259,133,285,582,983,177,345,497,990,
110,178,609,760,301,453,713,148,829,752,269,309,804,021,932,239,748,988,201,
270,831,001,662,002,510,116,188,478,650,515,957,726,358,103,356,062,549,934,
780,326,857,876,764,056,885,630,597,317,802,391,858,194,281,372,719,371,053,
707,815,706,300,468,921,162,638,701,922,842,741,640,516,842,516,060,839,577,
377,962,247,783,639,893,351,964,791,867,263,886,003,174,594,647,310,843,642,
150,533,023,173,499,671,108,927,641,529,920,547,039,285,582,662,280,631,647,
484,040,713,537,940,461,739,749,084,847,760,166,234,022,063,342,852,347,402,
615,850,857,531,589,313,633,592,155,731,408,461,507,251,981,941,257,720,828,
512,341,712,481,524,575,812,588,522,757,177,071,547,273,184,113,855,454,468,
738,883,343,529,938,736,648,802,085,176,859,314,151,055,991,684,082,648,973,
462,508,941,276,461,014,050,708,328,960,525,146,152,637,826,678,063,270,471,
286,296,141,484,688,369,023,314,292,876,394,697,706,299,046,335,422,303,203,
910,965,575,585,422,796,844,744,282,350,940,794,400,581,335,930,739,453,102,
364,052,662,617,495,643,180,228,857,708,186,274,346,445,659,179,122,095,673,
381,345,903,252,569,449,205,659,776,189,606,430,964,353,456,732,885,505,261,
703,926,093,498,687,653,075,717,748,650,882,825,561,592,065,460,671,100,534,
722,730,184,370,075,753,014,714,101,411,979,354,518,757,575,119,549,432,959,
897,650,966,415,983,996,442,943,968,180,166,908,572,108,890,054,427,175,495,
115,205,679,137,562,802,091,311,907,356,399,738,769,953,602,202,318,046,233,
446,587,771,907,629,291,112,694,650,505,825,166,524,179,534,561,232,362,179,
535,551,176,462,677,064,499,762,705,016,689,197,591,027,339,316,876,032,844,
959,409,924,960,772,536,130,709,809,787,930,135,081,143,335,244,936,243,218,
005,025,324,918,017,365,829,819,363,844,899,880,170,317,412,265,755,809,554,
834,469,164,311,265,739,309,584,679,621,737,571,279,593,619,378,698,108,775,
061,590,951,174,975,296,159,789,892,054,840,595,264,167,790,211,579,228,045,
229,432,912,398,754,229,508,805,768,917,461,861,441,498,290,317,282,173,965,
904,635,629,176,955,037,023,407,420,465,298,661,767,999,885,201,953,599,522,
326,932,821,439,275,575,963,878,229,126,364,444,379,419,157,207,748,468,417,
857,686,533,348,731,799,835,867,963,480,763,113,986,120,000,320,914,583,665,
963,503,502,846,798,394,946,389,865,641,035,869,790,720,574,979,802,757,035,
004,513,665,959,407,936,987,302,983,922,521,379,656,978,955,290,504,090,570,
723,853,427,450,343,392,938,211,783,776,657,515,094,323,310,713,142,265,603,
264,892,878,891,195,906,812,706,574,985,520,207,912,727,570,898,785,820,809,
002,087,055,971,738,620,664,386,663,893,364,148,737,051,875,086,664,196,090,
477,565,963,224,457,200,962,745,474,905,969,206,981,260,233,904,805,202,462,
675,629,241,465,171,746,196,395,484,646,110,861,291,073,628,078,339,756,672,
763,804,014,571,144,774,487,436,445,763,501,581,171,078,749,774,439,951,648,
363,556,115,051,330,224,963,447,064,370,010,115,596,129,391,228,243,264,521,
973,613,396,070,483,897,792,639,920,627,109,404,148,237,216,879,903,053,820,
551,843,295,412,538,834,955,039,320,013,047,305,627,626,231,080,145,520,500,
712,843,004,742,954,138,963,086,761,874,725,870,800,930,259,446,590,279,414,
845,099,627,809,082,345,913,879,811,829,449,403,830,679,905,877,499,096,798,
103,493,697,006,068,083,384,636,901,487,871,371,648,485,438,841,619,325,605,
055,746,030,117,245,482,879,474,545,246,437,555,177,834,111,518,982,995,218,
874,201,685,251,968,747,283,669,091,671,025,154,111,312,336,338,142,524,032,
428,390,263,768,731,986,566,791,851,323,951,709,218,366,075,863,304,393,699,
564,161,736,734,606,592,547,516,088,101,440,422,133,918,511,972,588,649,113,
274,703,021,906,562,116,569,976,558,499,154,859,247,049,229,048,046,076,549,
344,204,052,800,574,861,018,376,788,354,852,862,065,915,337,488,588,994,669,
915,248,206,982,575,512,812,702,885,572,454,725,239,972,777,594,462,304,832,
961,950,021,650,892,015,472,997,643,125,013,790,662,699,997,585,553,046,473,
074,818,034,302,330,173,090,208,652,582,290,271,118,062,022,547,033,986,219,
193,981,937,403,257,727,646,441,116,665,786,683,131,653,361,068,766,667,310,
907,725,114,481,205,916,607,054,451,858,092,019,619,763,824,509,702,117,964,
356,564,554,329,116,506,080,679,294,977,879,280,045,788,425,142,955,023,830,
223,823,353,821,457,783,064,730,358,938,828,671,285,899,363,965,646,528,175,
540,855,941,273,180,351,859,876,896,189,212,904,381,742,083,299,539,321,280,
281,350,855,686,127,077,391,707,207,803,725,340,155,115,949,836,048,676,446,
107,437,518,217,114,630,877,043,681,814,978,997,591,444,800,697,632,901,106,
842,825,721,094,429,367,891,768,882,139,499,824,548,598,180,714,957,441,769,
979,627,683,271,435,701,340,573,364,308,827,349,306,764,136,887,855,281,626,
300,802,700,840,186,554,798,550,668,785,535,236,616,530,994,979,201,182,167,
393,869,660,168,907,347,611,270,697,904,282,689,323,210,489,881,533,895,724,
376,066,850,986,518,646,004,983,145,124,705,190,621,820,227,165,839,993,858,
670,743,549,018,446,754,231,457,596,347,943,374,526,103,058,740,406,919,202,
185,015,925,482,476,141,652,818,164,315,421,339,233,374,124,276,187,105,631,
561,159,202,837,916,433,342,857,534,574,927,264,749,286,511,805,844,502,594,
348,117,997,167,488,266,561,811,337,721,826,272,666,560,392,703,632,637,921,
146,849,377,306,550,495,434,346,909,654,050,855,164,891,564,867,650,653,932,
228,446,629,276,459,359,891,322,053,033,169,833,106,018,938,816,235,221,024,
012,044,404,427,699,222,303,239,297,116,859,419,010,520,208,510,339,522,083,
023,326,306,708,071,331,602,974,535,575,228,176,824,686,419,494,719,466,208,
143,813,153,860,318,110,133,831,030,065,604,843,060,466,454,402,658,146,179,
858,734,141,181,580,769,527,329,021,993,008,418,595,089,981,966,509,732,923,
164,902,059,109,957,206,386,224,794,509,421,058,005,156,625,355,869,468,304,
237,691,815,446,426,678,268,485,401,421,090,859,938,587,846,094,984,059,608,
776,055,457,918,052,469,569,040,704,775,527,528,563,414,581,833,031,807,943,
199,208,080,512,759,059,793,068,743,241,745,426,266,087,441,442,663,784,575,
425,458,239,123,526,715,139,942,423,565,724,175,068,280,413,441,810,446,090,
340,094,347,331,303,632,618,462,253,731,251,706,254,768,113,735,976,330,395,
146,553,361,169,081,690,924,284,211,029,449,768,472,706,637,632,412,244,862,
068,180,066,361,156,655,681,925,476,866,174,999,168,734,931,515,269,998,897,
354,589,211,772,033,861,324,708,513,408,909,623,317,889,354,034,242,754,281,
470,294,869,610,527,839,666,884,506,551,970,446,103,607,228,818,065,362,512,
770,641,494,444,390,164,463,533,262,273,195,547,868,829,894,753,200,224,946,
356,279,333,432,222,245,271,169,238,017,943,239,986,822,291,951,036,750,620,
462,985,134,950,719,604,707,707,750,728,427,752,913,321,420,774,934,082,594,
493,603,189,539,922,909,972,553,022,377,585,069,344,835,170,035,423,389,748,
911,280,457,985,783,063,157,270,453,098,645,420,367,625,955,036,211,455,281,
280,438,047,025,364,417,710,726,505,909,261,440,332,350,264,033,047,505,135,
442,817,695,069,835,138,364,282,411,839,898,558,460,461,142,843,340,515,932,
682,800,015,517,957,699,064,878,672,393,441,734,413,765,873,930,630,061,577,
629,689,099,797,172,761,157,154,316,015,952,326,262,525,044,113,059,088,329,
109,716,586,863,200,059,321,435,746,099,423,314,419,090,598,716,791,723,769,
696,616,105,269,322,070,834,511,116,456,447,731,661,968,848,623,388,826,988,
889,414,490,667,310,120,469,893,788,413,543,044,292,519,981,933,658,154,028,
923,204,089,449,012,463,683,927,259,807,853,328,095,212,406,119,224,225,622,
904,734,837,142,596,626,781,515,180,120,244,108,103,321,178,787,554,510,717,
888,169,374,371,803,659,024,058,206,729,673,867,133,351,817,714,657,586,911,
767,761,116,930,895,130,140,461,705,009,669,607,080,605,105,547,282,207,897,
274,969,276,330,688,955,812,394,997,304,916,530,502,273,653,199,176,579,154,
483,725,995,999,799,250,186,623,612,250,278,518,827,119,337,415,128,332,336,
212,901,364,358,035,695,159,443,134,053,811,357,554,785,293,117,159,871,499,
196,237,909,514,902,533,970,049,558,085,203,963,341,423,496,091,914,958,577,
332,856,579,121,917,072,720,242,374,348,967,741,244,310,710,283,037,082,532,
151,493,534,630,170,142,398,817,338,240,283,807,715,470,348,371,441,656,721,
167,199,186,056,177,356,326,407,846,353,514,780,014,975,440,116,666,874,313,
049,107,900,587,902,528,697,399,345,550,493,995,350,219,863,238,335,855,250,
582,825,890,409,810,506,990,216,115,602,747,146,487,886,591,925,453,719,855,
308,030,002,878,880,033,443,138,602,797,969,524,803,562,655,978,288,745,754,
595,715,068,193,809,967,900,219,420,945,621,796,104,599,890,447,199,407,488,
516,859,308,239,859,995,228,370,588,828,222,989,042,558,288,313,046,723,333,
167,002,670,397,550,021,709,046,775,954,170,139,676,463,481,582,356,651,348,
693,471,312,767,060,360,610,971,687,457,327,726,215,613,161,823,575,579,714,
233,128,643,786,119,149,611,513,543,680,643,043,297,175,410,887,034,884,353,
245,599,649,295,951,320,242,058,980,544,387,389,911,902,217,159,143,713,584,
341,927,198,052,828,679,587,826,977,190,041,283,410,457,478,421,594,875,497,
100,232,697,707,498,481,446,532,928,150,448,356,462,356,756,511,643,164,813,
591,857,163,546,203,071,744,667,920,293,509,421,663,356,743,667,994,492,318,
558,637,681,233,546,960,495,991,822,573,366,251,427,439,892,883,923,350,279,
105,694,600,510,702,509,818,149,867,264,574,617,947,318,206,326,050,936,567,
135,216,529,390,676,492,825,831,581,648,057,696,131,679,624,895,280,191,954,
574,323,944,426,028,324,659,445,152,780,627,432,773,274,718,957,296,901,156,
565,202,519,016,959,273,256,353,766,930,823,483,159,304,779,221,057,011,102,
278,401,089,804,697,617,159,597,646,788,549,991,580,140,034,797,555,647,564,
110,479,146,252,960,333,957,219,494,363,026,238,942,342,598,859,382,941,891,
065,632,288,821,338,640,533,233,666,697,204,014,290,999,890,238,750,903,345,
199,656,964,546,138,565,095,082,649,955,517,526,832,821,074,012,226,278,854,
373,813,401,997,419,323,167,397,988,916,570,329,876,064,117,134,461,909,573,
842,960,606,765,491,794,134,195,471,567,048,036,343,255,555,251,515,443,229,
939,407,643,857,737,869,931,549,826,305,724,361,458,938,210,168,650,852,960,
633,621,510,932,161,415,307,590,528,743,030,901,126,503,822,747,180,308,803,
282,819,304,472,707,285,006,866,824,817,442,732,662,880,910,304,075,784,477,
747,658,237,816,963,915,410,359,896,421,432,717,905,659,014,955,335,169,687,
787,760,337,153,826,741,635,289,528,124,757,549,966,234,081,553,966,678,031,
079,248,619,831,655,768,813,463,006,205,755,069,715,411,716,870,298,584,024,
448,714,232,139,850,477,400,863,434,665,904,815,623,634,424,390,703,618,651,
271,658,862,271,131,781,598,173,492,574,295,257,659,196,680,203,498,224,742,
208,962,644,843,516,089,626,140,985,757,202,831,048,492,145,197,441,983,661,
599,967,473,051,859,281,613,151,759,320,779,576,698,393,011,653,917,838,278,
826,695,527,428,609,745,658,152,613,689,933,345,446,064,221,232,296,457,432,
682,462,192,008,133,911,403,163,839,870,247,731,644,811,764,356,513,725,578,
638,786,774,957,993,726,261,693,960,531,011,198,422,927,853,807,531,937,486,
552,240,933,056,766,678,971,619,606,032,606,137,338,049,656,102,731,292,556,
188,793,512,537,069,937,030,028,516,276,010,044,304,514,247,519,703,999,129,
018,870,343,070,864,661,932,301,332,022,894,006,983,023,901,487,390,035,612,
551,147,552,683,934,321,771,176,031,300,675,978,213,287,515,367,150,172,860,
406,861,486,931,753,202,645,317,693,771,138,147,628,216,516,398,939,490,186,
063,417,110,553,758,623,534,343,551,030,221,304,273,771,761,585,194,480,400,
109,666,264,577,537,838,192,014,076,878,499,964,927,239,122,952,664,909,578,
799,824,965,229,713,245,215,294,286,155,223,476,013,997,580,457,661,329,582,
426,507,868,465,657,813,200,235,981,317,464,858,344,257,977,291,859,438,596,
095,923,638,481,700,455,587,919,560,972,625,986,962,299,744,447,972,984,024,
990,089,308,009,705,227,707,277,907,910,436,199,847,990,688,243,844,806,068,
164,760,306,821,042,237,790,932,413,466,425,635,813,385,275,953,258,957,139,
099,313,445,273,836,333,668,579,870,313,366,483,618,093,592,853,138,679,131,
428,279,131,317,186,711,351,202,745,767,988,928,614,215,311,836,734,634,400,
107,143,608,158,210,458,480,851,855,134,507,082,419,455,785,607,847,508,386,
088,444,758,974,634,977,453,061,765,228,172,483,318,027,010,692,483,452,642,
843,849,988,566,334,166,617,519,488,550,424,072,675,920,877,690,488,008,168,
444,117,818,196,758,643,967,668,736,701,296,632,222,891,152,007,174,020,064,
842,677,432,261,671,561,663,464,011,254,216,287,422,238,104,130,762,739,222,
953,195,566,062,664,140,450,890,866,771,279,058,814,379,900,209,204,854,714,
401,457,088,866,573,298,547,970,903,385,387,124,240,564,927,936,350,087,370,
525,514,072,656,249,257,172,516,048,613,779,629,053,529,848,211,837,185,850,
579,196,860,656,379,151,168,780,217,445,640,684,758,857,803,147,839,111,091,
608,451,720,574,318,830,465,461,282,780,655,677,405,482,295,658,425,705,401,
158,457,648,078,617,393,119,532,638,095,456,274,896,946,206,690,152,027,579,
883,712,196,178,106,617,344,894,347,377,783,462,182,753,031,617,199,984,023,
494,880,586,219,923,231,069,723,866,424,739,601,128,260,163,404,673,573,597,
499,024,123,951,852,513,349,025,639,862,622,433,829,417,266,556,165,775,705,
837,543,482,473,015,741,553,784,927,856,326,204,004,706,473,729,751,385,485,
220,066,816,879,226,856,238,937,777,111,596,752,451,050,129,099,178,471,170,
866,309,497,583,457,204,744,103,380,423,144,396,584,662,057,208,585,574,095,
748,752,432,185,093,152,602,172,328,265,580,020,387,951,395,755,662,061,050,
199,465,874,278,527,046,158,030,085,498,966,248,716,903,494,275,990,782,819,
388,360,348,348,343,748,927,458,213,851,131,916,747,815,775,484,228,311,845,
061,357,752,562,208,953,386,126,500,632,273,535,797,508,670,514,685,233,934,
474,122,089,598,010,123,522,857,086,214,392,695,403,346,817,786,569,580,299,
652,063,289,795,329,872,505,831,824,749,047,505,025,670,742,520,934,409,685,
191,515,280,880,708,692,333,000,007,341,271,265,778,003,996,745,197,493,296,
103,233,723,725,787,224,665,655,100,916,247,999,522,153,210,526,397,528,041,
326,125,699,678,697,750,304,367,280,024,308,709,544,333,679,566,766,575,843,
273,938,911,508,080,084,184,178,817,144,190,238,788,283,125,036,653,485,803,
725,717,294,096,833,724,451,308,976,393,860,736,500,118,026,994,769,891,478,
789,938,029,535,031,241,410,290,758,898,350,304,346,782,583,991,618,717,974,
806,368,889,538,089,476,684,092,168,450,149,566,127,303,221,394,553,813,268,
273,120,631,694,823,751,826,863,714,622,588,423,503,771,563,381,504,171,397,
366,919,523,464,532,933,941,854,902,521,404,332,467,820,106,858,590,668,875,
371,006,943,581,432,492,727,473,906,514,140,582,639,665,450,872,877,335,930,
331,290,211,707,086,358,373,830,645,144,071,468,568,407,691,461,029,244,989,
262,221,117,486,048,291,390,965,540,552,232,261,318,756,608,728,668,184,445,
379,653,078,008,495,312,660,471,088,908,893,605,974,533,627,023,319,950,439,
687,306,231,920,552,613,076,243,791,026,891,532,053,519,434,248,292,655,218,
080,554,450,434,871,221,414,194,490,805,595,567,352,244,481,397,002,791,251,
383,450,485,915,643,114,678,692,279,349,732,562,333,556,717,261,734,314,757,
477,802,553,691,128,554,448,456,593,453,165,199,984,117,124,115,400,365,463,
477,611,908,677,192,303,048,281,527,824,764,574,088,105,621,991,010,665,127,
312,466,062,836,964,630,337,015,220,151,663,948,325,271,153,252,249,478,707,
926,908,103,319,385,176,811,767,101,690,145,806,245,782,784,627,085,035,605,
274,232,257,821,349,865,146,557,053,871,277,286,935,626,612,498,841,730,565,
992,131,469,503,431,841,328,966,069,226,246,647,234,386,488,255,226,026,110,
308,085,179,329,397,075,295,936,988,316,078,553,525,392,446,514,143,141,389,
911,243,958,967,961,607,762,384,691,358,322,648,889,659,141,600,519,434,211,
445,656,473,482,533,764,908,970,129,624,400,932,891,837,260,876,132,755,328,
461,773,520,749,073,265,117,710,299,367,890,493,690,492,675,930,674,552,357,
199,251,890,266,334,457,290,852,916,008,001,221,571,507,384,647,371,008,129,
748,124,239,726,843,009,783,055,825,248,482,827,802,197,184,982,831,396,541,
860,978,958,413,988,618,341,005,690,630,556,830,313,601,522,944,102,660,598,
736,950,730,927,813,959,311,500,828,815,254,302,235,095,323,235,801,320,817,
938,624,651,499,102,681,203,834,809,522,280,747,272,187,704,239,477,898,340,
621,325,155,569,375,802,828,014,018,044,809,507,071,295,750,538,046,708,327,
059,597,252,726,518,705,043,033,978,985,352,577,761,522,083,398,181,291,359,
224,469,741,832,065,372,641,268,322,712,220,854,239,907,427,959,587,515,082,
301,743,699,171,322,694,755,179,954,972,529,414,745,353,043,389,748,664,370,
601,068,564,033,267,509,282,911,899,467,491,482,721,419,488,254,852,488,484,
308,952,117,810,525,141,559,363,032,776,398,136,570,401,281,210,627,489,893,
968,946,707,169,933,213,720,266,689,484,890,397,283,634,176,829,493,214,565,
246,894,501,177,919,556,735,188,567,504,480,017,300,645,043,000,958,618,658,
413,582,346,694,037,232,313,534,296,292,307,637,754,546,588,639,523,159,744,
549,366,390,275,685,141,611,774,258,393,123,912,716,113,240,687,992,081,039,
166,598,320,497,398,406,986,883,671,892,368,574,749,518,462,346,720,058,394,
680,182,461,993,687,851,920,342,892,240,692,154,541,888,791,410,497,914,663,
093,413,741,647,828,682,577,237,264,888,443,552,833,460,631,814,404,842,651,
458,531,513,100,437,952,622,761,987,537,579,407,685,414,235,174,176,298,600,
030,373,703,779,493,255,536,531,491,671,373,827,472,509,615,578,548,416,659,
363,219,797,109,580,149,402,837,561,049,485,697,397,543,570,146,580,814,087,
521,691,375,153,233,762,658,507,745,743,534,997,798,304,636,509,659,143,830,
968,009,299,398,088,235,352,477,428,104,285,261,388,630,347,495,224,392,462,
363,203,462,742,940,407,306,215,114,293,644,800,789,688,545,018,344,069,169,
062,931,466,768,761,344,419,762,968,324,695,423,233,244,644,186,958,451,891,
249,861,149,503,425,860,097,978,941,553,065,032,400,182,760,486,197,529,100,
172,474,241,188,252,017,359,907,314,889,786,697,060,474,301,530,480,292,137,
118,129,024,644,372,176,026,142,713,003,614,999,971,205,857,728,652,410,847,
269,122,591,057,414,495,736,989,621,112,706,155,361,170,145,343,165,913,991,
501,045,545,128,730,617,573,852,969,840,027,969,336,674,119,729,071,456,817,
114,051,032,231,597,910,380,536,251,507,253,056,009,893,074,147,657,602,679,
812,113,189,002,590,085,085,872,918,954,367,146,900,391,312,129,939,418,896,
408,659,741,136,560,424,145,185,644,829,775,704,763,983,423,741,930,540,033,
035,092,878,685,926,117,652,069,584,601,953,891,606,005,291,711,808,518,834,
586,039,997,804,972,577,613,739,666,978,616,378,586,483,728,138,295,813,539,
013,088,386,960,701,539,348,210,410,320,371,384,201,029,950,056,312,274,456,
739,924,261,470,510,046,936,116,192,147,062,573,479,770,663,176,928,093,058,
733,462,573,343,897,449,461,487,562,023,421,554,830,874,310,638,512,393,732,
487,351,650,412,609,581,720,796,048,608,584,876,009,565,097,325,441,366,613,
920,935,062,714,507,423,099,032,707,661,057,832,885,449,228,346,927,448,721,
410,140,065,051,317,732,383,757,184,399,480,087,310,979,838,780,433,791,176,
203,515,806,662,119,241,847,750,100,260,024,804,738,486,510,078,235,973,508,
336,502,987,292,910,200,986,219,965,481,261,118,575,435,013,273,798,240,512,
368,442,203,176,996,398,354,839,919,873,536,965,149,654,978,505,943,678,787,
202,934,515,353,758,426,886,567,416,103,596,861,049,444,092,855,176,033,884,
914,298,739,798,984,656,023,784,658,287,151,916,728,070,149,688,531,269,718,
265,825,719,135,369,125,221,108,713,762,110,085,880,662,615,970,353,325,103,
772,498,188,096,966,880,353,580,659,114,051,483,999,730,208,869,572,874,751,
751,095,679,425,687,577,523,863,324,393,466,148,343,801,239,538,073,828,454,
164,098,437,269,238,279,230,459,961,369,839,382,182,920,406,273,419,617,368,
864,566,058,532,847,100,655,299,974,773,200,176,579,017,281,468,694,075,278,
925,298,339,475,863,609,012,462,478,772,177,754,964,157,265,641,482,217,577,
255,548,296,833,380,485,982,620,792,042,251,926,446,167,566,568,501,634,178,
923,897,842,849,571,819,368,261,174,366,411,557,570,767,466,671,582,036,509,
703,761,433,830,928,352,373,443,092,836,451,105,845,650,804,672,632,870,689,
030,657,406,467,074,323,926,004,545,908,273,902,682,123,103,354,436,575,749,
325,433,142,402,645,818,634,562,955,427,049,464,221,709,020,798,732,265,082,
003,296,944,809,814,785,467,390,826,505,850,536,918,808,082,830,468,402,904,
555,240,597,815,016,688,384,399,497,479,330,148,397,619,989,480,158,233,712,
932,958,680,275,988,789,194,518,975,725,187,751,778,716,694,792,779,699,445,
438,935,653,538,787,557,813,448,453,328,122,533,642,583,713,140,513,574,679,
156,794,472,022,142,151,569,464,889,128,009,764,591,274,082,180,895,072,635,
868,140,013,553,964,364,206,888,393,893,762,271,572,737,118,844,203,286,946,
959,701,910,743,248,367,506,954,613,109,413,540,357,660,524,652,187,673,866,
685,843,866,939,990,571,217,164,288,367,402,933,671,118,673,117,595,973,869,
907,704,328,509,519,351,116,184,603,944,581,004,072,412,809,084,274,413,410,
509,325,282,241,903,666,923,655,418,764,805,913,810,132,629,182,878,640,809,
009,260,476,767,907,760,519,574,205,373,710,928,391,286,763,564,930,290,887,
527,265,739,487,267,695,045,017,543,530,922,363,677,927,546,334,562,284,587,
127,518,588,592,925,069,028,344,678,028,739,438,607,810,486,294,768,610,161,
501,175,702,882,968,628,770,771,222,322,994,326,766,288,865,074,065,976,388,
551,717,449,722,854,271,127,940,935,656,149,916,088,215,677,546,602,915,792,
191,996,365,044,402,362,714,989,754,415,990,554,052,516,956,970,249,667,882,
465,626,408,766,177,329,700,190,212,489,825,989,732,787,288,456,787,308,559,
894,833,566,905,060,133,858,679,803,363,327,358,149,746,802,040,818,315,055,
876,553,282,826,628,149,959,253,908,781,781,913,745,558,176,297,120,626,974,
071,286,505,705,631,686,391,595,992,913,832,416,447,722,813,235,274,038,648,
659,097,430,869,729,100,648,361,820,555,291,203,096,425,006,413,422,086,961,
605,854,348,454,377,582,060,775,799,101,554,572,519,834,539,341,588,065,447,
024,854,868,453,325,520,575,436,273,983,669,468,953,608,688,577,496,284,118,
017,278,947,414,332,965,136,063,975,056,481,363,348,808,095,099,298,046,500,
021,230,828,166,058,122,525,144,857,818,357,717,194,378,427,132,058,325,718,
892,425,759,633,224,825,895,830,533,511,427,825,876,001,523,098,611,077,514,
378,670,318,959,986,802,754,865,124,265,868,174,537,930,657,074,632,764,457,
979,600,152,804,830,183,213,780,249,667,050,488,622,644,493,499,540,316,482,
310,086,853,818,351,780,226,931,067,323,953,806,261,758,803,457,946,136,408,
347,625,688,918,055,365,026,150,751,576,267,737,425,087,937,497,910,971,946,
884,082,784,947,744,787,641,176,335,425,825,511,540,568,218,995,036,842,621,
245,692,122,316,085,762,144,589,205,304,376,803,552,802,890,210,526,231,734,
567,240,807,850,310,505,039,498,885,461,946,965,397,645,571,466,192,876,675,
395,814,226,144,961,340,560,679,219,396,989,819,818,102,308,105,767,148,358,
981,122,367,215,026,387,114,045,588,197,977,361,107,813,218,826,482,317,189,
414,443,612,628,611,567,329,784,617,460,842,441,750,886,535,586,216,683,942,
578,907,012,091,573,250,179,447,898,974,211,316,028,334,033,946,417,503,941,
044,060,937,904,810,256,543,490,292,462,473,630,834,281,224,998,784,108,100,
049,125,858,553,825,745,225,722,294,005,395,712,272,585,938,674,307,889,363,
107,822,573,408,946,711,121,572,979,239,514,625,706,370,451,968,553,014,759,
901,295,389,141,827,165,233,570,586,318,456,201,592,347,690,879,890,187,090,
415,404,356,034,738,812,784,502,143,294,091,066,826,205,364,896,860,739,787,
830,518,871,479,459,583,331,944,760,986,928,682,349,770,264,578,561,418,384,
265,681,782,945,163,586,997,673,000,527,554,429,451,529,713,474,076,748,733,
534,983,541,782,490,359,199,370,882,639,850,410,296,335,736,328,155,870,633,
521,723,829,904,541,021,176,522,107,863,013,875,088,707,197,916,603,677,070,
317,869,522,218,656,963,784,217,637,273,562,844,202,029,603,772,468,572,678,
604,491,922,170,109,313,615,875,156,378,465,626,342,087,572,647,011,865,630,
951,138,467,294,656,621,058,722,813,079,726,165,561,367,856,738,609,765,884,
693,663,332,491,378,094,351,769,806,535,756,585,692,076,482,713,876,335,179,
183,743,594,828,208,182,383,893,088,301,740,753,661,066,676,967,514,211,021,
938,890,206,202,357,358,557,596,361,298,781,842,356,549,292,576,581,158,663,
235,390,258,314,285,878,906,654,963,836,264,353,280,774,490,689,417,225,227,
963,821,844,471,548,946,277,745,622,237,623,234,661,336,940,706,295,226,495,
056,602,000,520,939,220,213,285,572,830,298,615,095,110,459,132,681,373,521,
434,828,142,023,396,813,305,644,003,718,011,371,384,777,323,290,540,788,784,
595,429,475,569,052,115,144,851,832,669,272,091,224,531,665,264,799,598,620,
078,154,253,036,614,253,160,292,363,059,710,821,143,748,375,742,290,924,107,
935,903,262,668,839,071,042,386,984,739,715,542,926,635,635,438,094,426,893,
468,007,106,838,164,456,417,238,218,504,463,137,730,273,833,490,100,691,960,
514,718,436,782,502,961,533,518,076,281,377,889,219,902,055,408,130,008,270,
455,599,421,337,217,659,390,879,555,306,767,778,941,590,553,022,222,541,932,
290,570,189,358,790,608,600,381,798,056,890,598,292,918,127,140,141,390,422,
462,644,318,259,866,313,473,988,016,190,881,501,247,586,374,585,558,655,750,
718,671,083,771,952,597,784,377,967,502,576,608,700,415,664,944,339,411,796,
313,817,934,917,611,990,771,363,366,924,710,897,929,824,057,032,554,847,469,
982,967,900,228,068,460,289,663,478,546,022,933,149,660,539,174,182,992,146,
964,811,530,769,502,908,802,370,023,437,621,385,835,884,621,339,267,779,929,
009,994,091,293,746,463,173,997,991,461,864,190,254,105,917,176,207,012,146,
915,522,230,804,673,240,469,580,129,066,115,629,394,815,138,720,593,768,980,
154,743,015,993,841,115,400,327,042,976,417,351,168,724,976,676,455,918,540,
999,053,060,910,572,983,860,451,749,080,838,821,029,745,438,122,898,781,185,
026,432,944,953,453,680,157,740,504,590,105,858,367,478,904,248,158,751,442,
505,017,910,466,740,613,454,322,138,031,814,601,426,951,954,822,554,807,226,
746,887,821,081,965,844,060,087,410,097,448,361,226,539,086,822,195,773,084,
877,158,056,750,446,952,914,966,158,992,164,121,208,458,390,026,728,231,790,
656,494,879,512,872,822,993,973,150,597,786,250,243,720,400,316,772,722,280,
966,706,578,103,279,588,076,950,535,244,155,175,973,564,343,680,164,078,019,
006,203,056,464,278,087,338,607,172,506,132,145,872,026,331,612,919,385,937,
272,317,003,282,682,901,795,996,832,023,555,332,257,540,406,492,348,310,734,
403,033,524,592,821,681,740,719,960,832,457,826,765,056,020,599,121,900,923,
492,323,645,172,052,849,930,726,842,753,481,805,309,152,228,226,593,925,032,
135,889,551,067,939,868,842,272,671,590,735,936,160,570,840,190,120,016,909,
875,141,488,534,915,096,147,753,730,124,948,411,244,035,034,520,533,792,609,
727,384,470,712,193,203,204,135,318,338,519,176,399,178,641,282,855,342,401,
546,263,706,066,609,870,591,835,480,240,228,258,166,436,497,640,520,797,728,
973,100,804,536,467,565,148,882,926,242,896,038,065,578,325,761,912,069,678,
215,190,417,761,280,176,280,413,438,058,297,742,991,140,650,547,723,567,897,
754,449,813,502,986,008,886,556,040,577,239,119,912,201,661,321,918,428,353,
407,867,026,216,668,952,883,555,305,152,280,786,405,903,159,931,006,276,341,
524,242,274,996,329,276,815,815,039,459,491,762,671,996,275,549,309,096,961,
297,435,422,710,866,974,469,268,449,735,369,547,891,676,890,399,831,794,540,
399,470,716,282,496,667,562,485,537,741,153,655,075,112,565,132,827,063,347,
426,212,484,163,891,411,828,908,294,562,621,967,853,838,342,574,436,379,952,
858,017,932,914,172,705,984,647,211,020,976,835,398,463,177,313,142,258,769,
183,156,414,880,451,773,678,205,497,133,909,702,232,627,408,968,402,902,121,
295,322,671,831,218,166,727,427,755,321,775,845,831,842,950,264,702,949,193,
495,452,606,936,306,599,035,170,756,165,433,763,414,317,052,265,269,873,372,
294,045,911,176,472,184,573,973,741,205,792,432,234,967,844,613,235,676,427,
467,200,385,353,501,680,312,332,000,984,302,429,397,042,714,883,377,617,392,
468,947,892,082,995,918,440,773,471,790,159,361,424,065,529,741,045,941,431,
888,703,704,397,626,956,397,813,069,029,987,718,431,088,206,149,081,234,742,
084,669,863,500,064,325,742,433,081,810,358,415,050,536,067,718,733,103,390,
952,441,024,682,360,771,070,708,499,518,991,671,456,309,580,388,049,760,420,
601,142,017,151,615,566,822,927,011,529,637,087,367,404,536,933,304,043,225,
340,205,408,116,298,662,996,477,117,244,380,634,126,802,970,106,426,463,385,
723,680,109,545,805,881,933,511,441,949,392,236,472,849,037,266,861,721,134,
814,890,515,886,693,816,527,560,482,837,125,231,304,943,638,697,819,024,061,
622,230,623,810,782,646,147,686,017,169,267,455,501,085,957,039,974,704,037,
904,712,443,708,688,684,042,992,984,582,679,622,105,720,730,065,079,178,185,
768,971,889,291,406,254,410,880,157,385,677,499,011,152,012,125,745,888,485,
929,368,437,962,977,762,423,216,477,711,939,256,571,573,716,163,118,836,217,
033,698,619,666,886,025,106,065,329,583,597,337,006,389,792,559,318,063,166,
859,294,954,554,878,503,468,470,891,380,345,816,997,108,440,903,293,280,299,
045,738,693,813,826,502,264,608,917,692,225,247,959,800,854,350,914,186,503,
277,670,484,858,021,180,959,992,997,202,781,660,520,990,143,518,984,710,963,
975,217,395,601,328,318,350,873,378,161,080,222,536,893,696,636,034,657,074,
106,448,816,457,233,944,053,791,139,546,130,084,841,202,385,555,686,479,876,
959,782,887,099,230,176,918,765,231,754,860,868,582,078,536,475,878,334,590,
346,978,811,895,441,670,067,404,991,965,760,063,358,569,814,692,608,586,659,
209,924,940,833,129,764,557,381,925,947,102,399,472,468,488,715,589,620,180,
667,552,909,653,813,608,865,423,855,012,309,271,765,015,679,389,872,885,548,
811,394,467,241,447,561,676,335,069,800,827,562,999,643,278,436,014,635,997,
089,322,705,608,652,501,160,295,218,735,753,144,369,016,229,041,825,350,901,
246,603,863,732,150,965,202,317,877,061,668,193,407,748,459,585,665,589,871,
039,386,112,236,444,274,246,720,097,458,160,938,266,276,645,542,267,609,722,
670,007,963,012,395,198,705,599,250,623,415,798,872,594,789,169,111,315,649,
566,261,387,723,405,335,070,124,850,206,739,424,145,954,662,135,336,927,676,
573,645,055,745,054,880,185,638,256,949,563,783,994,314,053,634,702,371,653,
965,848,386,754,303,359,179,499,029,061,927,174,340,008,523,408,482,046,627,
333,474,690,768,432,913,448,126,870,950,162,052,785,830,504,372,805,390,071,
631,714,821,781,915,770,609,146,905,183,261,043,347,539,402,873,414,297,334,
351,134,952,938,006,534,714,735,166,315,009,758,043,980,062,350,541,081,859,
283,010,723,917,619,128,370,243,910,113,687,351,051,140,721,002,674,588,153,
924,126,043,904,369,120,703,332,933,883,691,136,597,816,118,297,560,860,444,
705,370,838,843,192,820,348,338,092,783,705,203,301,807,652,419,391,439,544,
011,299,463,211,548,059,833,909,974,335,155,209,559,645,848,342,628,394,703,
378,186,410,789,548,600,722,362,243,042,508,981,221,121,227,690,972,079,164,
474,892,909,450,244,018,765,811,943,764,167,428,484,604,008,182,766,164,699,
421,838,017,781,661,442,319,969,355,417,045,494,234,685,916,175,161,591,145,
932,577,086,756,669,931,579,205,377,980,975,178,035,961,980,706,362,073,633,
444,690,315,723,172,409,473,272,714,786,343,588,102,678,279,597,802,021,822,
271,384,794,397,836,854,454,406,485,684,922,598,715,704,706,432,669,740,717,
623,995,403,672,529,188,517,006,295,184,436,966,215,749,056,375,287,042,056,
771,630,672,298,081,238,088,698,707,263,156,159,625,168,597,584,284,309,342,
175,212,807,018,821,886,549,978,701,729,872,055,030,094,084,574,836,911,943,
890,084,414,826,993,262,619,153,940,766,554,449,720,307,880,020,011,255,710,
258,783,232,137,090,550,173,863,533,012,332,838,053,001,707,618,632,132,546,
674,296,827,650,203,947,610,893,844,677,603,739,402,884,149,406,506,812,399,
300,314,672,661,241,773,335,768,172,746,428,545,550,553,500,816,243,682,776,
402,889,073,360,965,416,108,070,257,448,269,937,488,532,849,054,594,829,897,
484,229,212,402,941,712,925,195,868,346,034,369,253,752,729,488,209,419,507,
030,827,510,057,861,562,142,931,121,899,945,031,052,304,863,296,679,367,710,
749,451,172,528,412,882,308,382,493,625,921,634,124,070,649,818,863,001,195,
198,702,216,141,143,026,189,365,552,903,372,856,455,357,470,089,972,598,258,
786,322,571,181,935,592,047,294,563,426,367,296,040,702,086,789,440,985,396,
974,441,990,309,813,458,857,186,213,115,056,217,993,429,113,069,528,471,601,
211,398,263,130,476,583,764,335,106,247,378,140,037,867,101,591,672,855,075,
572,749,537,019,750,298,077,390,545,577,269,279,000,415,452,480,418,462,582,
262,225,485,544,399,995,637,614,569,319,288,911,758,382,618,416,929,674,366,
059,434,490,926,490,082,636,584,733,102,881,558,752,277,531,456,967,616,337,
272,240,616,474,414,000,216,855,193,295,689,776,831,959,109,265,062,065,509,
654,107,222,638,720,270,317,324,920,722,707,684,159,310,464,538,143,562,221,
332,241,143,859,582,849,709,580,897,913,112,194,325,324,785,469,973,032,043,
384,147,848,052,489,761,934,093,501,089,770,888,827,422,493,152,245,576,208,
315,646,251,582,762,150,969,933,937,273,128,462,303,723,808,077,107,048,783,
202,906,065,380,421,576,288,562,618,523,542,559,374,339,829,219,866,478,770,
075,319,543,356,842,666,391,464,659,820,931,795,660,480,577,215,120,611,353,
725,376,857,719,151,567,703,853,561,221,315,052,795,278,919,002,009,581,607,
941,644,434,199,296,728,195,990,798,425,229,947,203,506,132,192,673,814,674,
995,735,881,462,764,604,232,356,309,294,026,368,567,233,098,130,577,165,120,
967,920,679,473,623,323,707,919,559,216,701,702,049,210,688,053,559,480,041,
733,480,416,195,897,523,030,021,444,631,676,479,932,275,262,238,570,246,185,
764,989,354,092,845,105,947,594,341,135,585,237,059,961,830,256,568,343,873,
442,226,075,803,270,840,098,492,782,773,162,343,452,050,253,907,155,938,527,
694,591,443,183,311,537,197,908,838,974,428,471,820,121,703,487,598,673,615,
214,441,652,202,653,445,508,793,762,361,146,171,373,884,009,000,118,570,002,
368,590,448,258,332,514,808,794,994,667,633,868,220,337,355,379,682,173,457,
949,006,735,546,438,199,867,288,896,258,654,679,397,179,925,866,520,307,925,
694,817,820,581,781,030,954,192,759,692,814,989,737,670,984,935,184,235,915,
033,918,555,979,533,708,200,543,093,379,659,850,237,787,638,663,163,918,127,
259,128,343,217,886,798,543,450,332,231,566,319,365,910,344,762,219,762,328,
062,715,301,423,736,270,770,773,930,226,627,292,216,929,439,480,563,429,242,
324,177,848,077,331,369,692,644,899,207,438,703,751,225,810,367,605,697,342,
512,553,927,441,287,155,352,947,494,217,490,198,754,704,183,477,171,003,926,
091,256,254,018,631,284,333,471,342,675,713,422,329,666,847,040,807,412,391,
454,087,728,268,300,582,116,805,194,617,175,844,575,760,915,480,017,908,124,
569,283,768,581,694,076,553,238,759,881,768,692,985,722,942,136,897,226,032,
854,008,948,200,601,066,936,411,872,733,549,963,096,945,510,724,035,360,612,
934,464,190,089,479,174,033,952,519,023,580,085,216,631,315,400,146,680,698,
161,328,646,718,329,961,690,123,482,930,323,796,313,816,704,320,121,482,880,
324,461,865,726,199,359,324,445,507,619,948,433,911,754,164,924,148,307,286,
713,244,833,147,653,692,290,489,335,984,074,794,832,263,490,989,385,360,566,
470,896,769,369,576,217,276,444,272,936,764,597,536,178,406,814,362,783,740,
552,458,993,461,877,933,966,858,131,289,145,523,868,578,336,254,964,766,251,
305,321,456,505,712,295,606,633,824,373,418,713,164,253,935,448,889,127,699,
153,855,221,477,882,522,258,516,057,870,710,422,823,523,482,951,102,393,757,
779,704,384,077,644,819,715,710,260,989,260,688,687,865,033,246,970,370,101,
046,400,629,170,453,681,285,891,355,048,379,491,390,556,407,110,491,879,916,
073,716,848,999,695,997,681,251,259,940,894,796,875,376,193,909,074,459,893,
457,098,897,652,314,868,172,662,798,884,154,594,757,538,878,599,070,206,054,
480,719,344,172,400,847,354,755,051,700,692,154,195,501,300,940,708,891,045,
001,037,632,771,716,451,151,729,043,924,502,000,520,289,676,352,176,349,780,
610,508,934,738,693,454,964,689,304,620,568,798,613,256,480,343,951,360,686,
242,618,288,159,113,219,816,405,782,850,519,724,934,608,517,139,772,941,777,
116,823,336,727,535,751,658,326,711,444,026,894,185,776,510,836,667,666,668,
697,408,562,532,381,988,987,935,038,891,295,964,842,986,503,855,116,978,467,
497,542,331,337,162,607,299,252,861,280,798,440,276,035,646,251,249,579,736,
228,478,144,339,425,490,596,756,376,516,103,267,797,469,500,517,439,540,882,
414,680,691,049,261,462,605,119,271,356,555,214,533,578,729,794,561,811,801,
694,474,493,474,718,338,175,548,825,976,947,353,713,731,522,928,956,149,531,
443,074,426,709,379,310,110,999,017,893,296,955,325,095,170,200,132,341,235,
100,059,610,145,793,313,407,997,691,616,977,848,760,118,612,103,252,191,710,
195,209,107,131,966,558,218,785,062,353,690,505,162,153,803,425,890,979,625,
728,351,204,227,543,278,626,221,957,026,882,799,069,041,522,599,437,522,101,
303,232,548,405,055,458,023,825,151,859,703,891,869,074,953,072,447,247,790,
160,777,772,717,104,253,436,018,155,663,273,771,194,418,881,895,974,261,798,
501,850,222,900,588,926,552,027,021,763,809,843,111,228,372,940,336,729,323,
655,637,423,193,560,997,126,293,099,606,774,630,536,290,261,209,377,183,906,
592,142,480,738,263,311,723,151,771,703,803,363,310,589,971,723,567,523,159,
393,283,668,878,911,440,106,398,675,612,788,856,312,472,043,985,536,181,280,
903,095,522,867,586,068,215,769,289,470,767,824,759,636,606,340,446,178,272,
464,459,862,596,808,125,290,793,501,283,626,360,636,168,400,786,703,264,531,
182,643,971,341,048,228,688,099,273,839,570,680,342,609,074,565,090,022,815,
480,631,559,914,495,757,909,446,259,140,666,532,995,334,052,662,466,354,769,
290,632,579,591,608,166,713,641,844,851,166,431,317,206,768,749,975,465,365,
816,072,160,115,239,254,984,294,196,766,614,432,770,064,481,667,459,029,027,
584,389,618,715,753,230,098,676,572,967,845,745,407,645,144,775,329,603,049,
027,602,135,416,068,435,632,312,422,637,540,323,187,365,206,281,450,875,436,
513,886,708,373,860,094,590,393,528,267,137,713,167,462,739,947,076,982,175,
422,046,252,143,308,821,124,422,816,211,891,859,577,439,821,049,760,164,585,
227,003,359,021,477,129,739,883,098,963,945,168,075,851,592,923,155,921,526,
962,496,338,011,108,732,227,544,163,188,096,619,647,039,765,545,062,375,568,
810,270,443,928,171,058,471,159,568,587,678,037,304,626,124,392,765,665,311,
797,820,921,473,441,403,378,711,963,439,917,839,055,982,496,663,827,380,465,
185,641,508,732,290,200,737,801,556,154,016,478,580,585,602,865,837,640,347,
118,431,185,424,380,330,427,532,035,144,884,506,519,459,298,354,544,853,846,
690,331,931,782,170,944,511,987,014,394,808,941,469,442,835,662,737,044,938,
570,508,285,524,867,993,897,633,609,746,067,468,596,603,915,242,879,972,238,
776,392,836,405,889,357,849,051,707,821,823,585,511,529,557,937,234,088,752,
450,579,362,101,740,003,653,704,196,791,885,221,574,587,533,367,444,030,969,
046,640,116,007,068,406,829,228,652,598,649,284,303,060,562,506,440,722,946,
516,520,060,588,668,624,095,183,161,237,523,464,594,866,926,891,077,025,400,
500,130,470,655,652,031,187,844,397,427,063,750,676,817,069,213,441,861,721,
410,853,456,607,707,462,180,715,073,684,652,736,510,466,212,335,278,458,272,
071,600,987,706,657,076,687,904,588,251,574,759,371,862,241,808,936,569,677,
489,675,479,321,463,041,193,670,838,549,519,328,254,066,030,931,807,030,864,
218,537,856,749,143,037,737,847,149,412,957,575,013,661,080,670,026,818,334,
648,170,936,000,315,025,333,723,499,446,008,250,923,918,889,847,594,291,515,
204,047,335,198,666,884,816,393,477,795,312,976,958,676,123,013,864,148,330,
476,458,427,286,340,498,906,328,506,595,736,446,091,855,044,181,142,513,362,
814,151,017,984,570,988,143,834,576,856,619,996,439,919,900,863,021,217,033,
245,118,165,785,881,359,558,566,914,711,323,291,443,557,457,901,418,597,528,
655,902,899,573,738,745,525,788,373,274,334,683,741,672,000,864,711,896,661,
166,436,910,473,862,058,844,664,420,441,781,037,205,102,098,291,968,624,486,
413,864,430,694,110,797,538,765,412,032,495,866,452,309,743,005,558,044,174,
328,749,106,906,372,090,583,691,450,196,590,436,714,009,634,389,909,403,643,
446,523,981,635,807,105,951,710,924,753,299,072,729,246,689,047,241,997,748,
423,206,667,962,556,244,437,415,023,955,587,676,573,988,945,668,681,667,870,
698,771,829,996,768,367,576,582,696,258,556,337,060,559,408,445,957,337,376,
396,666,953,469,486,929,002,378,623,464,411,397,369,875,110,278,275,679,733,
722,452,919,672,739,442,665,309,776,961,406,294,319,308,847,168,664,129,250,
507,509,377,784,447,830,734,001,580,864,067,099,968,185,056,680,839,158,758,
991,579,179,971,079,492,117,500,972,704,265,893,578,198,429,849,803,998,757,
646,646,420,042,959,954,913,582,945,803,170,072,083,344,541,333,659,592,576,
582,214,989,031,680,275,908,822,577,717,136,490,687,398,594,663,710,890,667,
643,976,887,315,563,461,459,595,660,653,602,796,074,130,377,767,524,982,439,
413,371,449,822,435,257,723,462,542,756,986,976,830,235,817,901,423,332,453,
418,819,962,156,058,141,466,311,838,788,330,898,879,293,861,752,771,534,677,
205,791,439,545,265,426,231,507,343,695,635,098,727,849,736,491,388,647,349,
747,475,036,120,622,829,639,806,176,604,823,857,876,807,204,052,625,551,055,
781,629,004,495,679,068,678,683,132,270,400,320,218,700,800,942,308,943,199,
672,589,337,577,310,960,682,452,316,314,450,065,500,172,503,975,919,512,862,
952,412,560,892,108,010,115,013,840,694,231,043,985,267,352,909,810,084,783,
161,829,230,274,857,895,606,846,198,293,696,841,599,159,254,507,063,694,331,
422,738,841,055,986,935,077,049,680,913,209,652,916,968,412,565,755,003,676,
376,948,256,957,769,247,791,691,746,612,978,364,994,849,913,650,362,823,048,
985,601,967,718,307,101,378,564,734,086,421,040,244,903,315,379,871,953,073,
974,245,221,536,759,156,249,400,818,157,656,653,559,813,727,222,085,992,905,
822,894,373,089,292,578,652,564,261,734,976,934,937,564,973,599,194,622,230,
936,090,659,002,507,960,084,631,304,188,915,680,040,751,824,127,414,489,128,
465,839,908,455,356,852,114,582,856,444,668,897,969,472,049,527,893,624,258,
101,260,082,166,248,471,821,199,816,639,427,644,397,004,069,633,361,488,175,
155,518,221,366,723,094,204,983,398,060,734,963,386,857,691,525,515,299,874,
590,069,351,466,757,460,498,340,381,129,963,205,497,976,548,298,357,364,266,
014,960,910,338,673,421,539,259,576,963,329,474,362,994,567,562,623,303,738,
910,268,799,883,563,525,761,465,816,858,971,750,746,884,633,378,622,768,678,
722,299,667,379,438,506,827,761,871,171,098,120,650,826,656,012,710,527,571,
978,746,332,199,380,818,928,847,971,995,308,852,282,986,660,462,030,250,329,
332,675,966,957,258,589,809,064,359,928,425,212,392,081,739,089,628,177,564,
211,280,659,369,777,067,039,288,269,365,864,765,510,032,396,476,649,274,247,
736,394,967,931,434,165,282,866,512,032,080,296,915,220,073,658,311,832,229,
309,328,353,349,832,720,528,903,435,309,688,548,100,846,004,756,783,801,822,
203,054,730,863,854,692,537,990,781,204,177,082,605,543,573,279,232,446,888,
466,520,143,698,568,780,081,407,097,693,648,493,561,449,804,978,478,715,514,
115,453,003,467,790,158,558,357,312,518,777,785,689,036,513,687,271,379,188,
523,448,864,671,646,662,148,078,724,495,286,723,511,703,437,306,942,049,380,
332,491,239,682,297,010,100,934,782,105,948,404,778,322,809,836,656,464,119,
413,904,112,294,754,318,673,619,487,634,077,990,888,009,536,652,713,464,326,
995,719,290,813,689,683,718,965,671,671,559,691,652,610,399,529,720,567,431,
139,117,534,507,778,262,369,406,825,122,484,692,305,987,820,287,553,449,634,
548,551,246,211,160,535,665,344,847,736,786,393,274,686,063,979,526,166,609,
900,430,438,297,500,070,608,904,824,395,104,325,728,086,401,005,268,764,532,
837,420,190,436,522,249,178,571,026,308,628,604,169,691,722,136,954,173,711,
966,131,364,073,249,606,101,024,579,406,468,539,587,763,076,819,824,603,102,
878,965,778,885,720,171,230,446,595,362,176,474,888,093,839,984,471,345,198,
123,012,488,371,172,624,665,401,936,155,048,412,577,548,714,165,387,214,217,
340,700,951,403,629,775,557,147,191,031,626,568,946,068,631,927,274,173,887,
564,774,700,974,412,656,213,304,072,414,384,283,317,094,215,391,572,152,430,
089,927,676,851,766,877,841,446,443,659,005,794,609,553,366,172,776,229,351,
410,546,180,366,798,288,916,406,326,722,715,666,278,793,107,661,918,372,270,
673,092,878,141,442,716,225,816,791,703,306,671,813,762,326,548,480,293,127,
683,008,274,234,115,330,208,630,446,740,914,998,671,268,736,795,086,829,045,
586,387,724,249,454,877,627,884,098,041,225,183,694,522,882,322,298,034,943,
814,434,039,107,239,482,454,917,577,380,427,805,546,911,249,547,595,011,433,
182,018,991,658,613,524,556,914,899,001,344,057,803,878,211,002,735,418,227,
843,059,784,796,444,062,592,079,979,871,472,692,748,695,797,512,604,893,957,
866,642,783,960,248,187,210,891,740,621,609,503,706,775,842,672,047,209,908,
571,772,054,309,191,524,246,418,677,442,915,591,818,430,862,408,666,513,464,
395,376,346,736,844,300,478,514,168,167,779,574,225,079,377,937,298,843,185,
718,290,737,532,405,471,762,155,104,719,064,357,779,855,573,296,343,630,217,
219,795,284,987,546,311,799,151,602,578,861,201,928,724,735,995,888,423,431,
378,860,421,051,391,025,581,207,758,429,715,606,975,962,875,989,046,898,846,
153,417,211,628,105,138,603,245,723,829,313,316,461,998,901,032,723,470,421,
676,754,775,655,952,452,677,926,883,531,128,864,292,509,298,560,538,030,378,
225,079,407,148,422,201,859,357,617,748,880,738,757,046,850,394,403,747,995,
613,212,051,884,559,573,460,957,895,179,394,950,105,224,431,910,261,023,992,
822,194,692,857,512,872,926,271,350,636,251,189,770,224,506,233,406,178,167,
914,751,627,312,277,018,994,661,915,538,664,341,638,856,098,047,685,695,089,
229,070,115,940,960,129,989,087,504,605,627,461,737,539,210,586,640,634,666,
679,352,449,138,237,603,711,236,783,764,341,370,155,396,598,511,087,613,184,
598,759,906,063,555,781,771,680,485,727,136,264,244,903,616,897,146,068,410,
842,219,175,028,816,981,182,800,650,927,392,845,169,617,110,137,278,156,788,
197,024,584,068,829,189,201,369,915,546,585,240,448,244,983,880,216,967,267,
376,581,158,940,941,747,123,094,006,091,470,651,828,516,212,563,503,017,305,
452,394,849,527,551,507,139,390,718,507,433,995,746,997,211,746,059,834,135,
060,639,154,357,847,948,936,572,171,854,544,052,908,483,745,558,425,922,020,
970,463,377,117,414,484,059,827,046,798,792,497,778,330,917,816,771,341,168,
192,260,418,804,490,935,316,568,024,847,653,953,567,399,534,986,583,181,684,
047,589,088,309,450,962,100,592,585,509,278,789,443,668,637,238,694,868,707,
499,926,203,586,987,289,232,212,208,445,780,627,256,302,693,044,360,300,620,
216,864,083,623,595,346,591,051,162,478,737,320,657,024,595,617,211,475,355,
172,460,882,597,566,157,973,245,370,881,428,092,959,361,514,813,052,161,702,
829,808,702,658,953,650,475,244,059,750,659,834,214,638,756,345,780,009,927,
737,079,052,370,996,734,879,680,074,109,740,973,663,152,773,818,416,968,947,
817,465,992,198,900,349,477,266,330,984,507,869,535,572,101,893,806,132,205,
318,687,331,100,022,958,677,440,821,117,846,129,362,635,771,516,369,808,522,
146,447,027,394,208,286,982,205,854,278,762,578,587,636,602,702,086,885,502,
708,070,857,485,349,752,463,551,994,706,752,556,866,236,426,373,409,553,665,
825,507,474,767,928,526,308,622,940,640,088,282,043,602,012,037,260,278,464,
095,169,839,527,798,930,361,423,837,525,302,522,681,110,028,466,264,373,015,
943,190,159,486,675,668,121,349,560,199,760,628,396,617,560,203,136,297,044,
000,223,336,101,056,127,419,771,109,133,117,991,621,812,253,296,070,627,079,
463,298,044,382,137,743,169,848,170,299,538,718,878,028,714,027,531,668,121,
330,729,510,728,679,175,486,728,497,742,326,084,078,588,857,011,649,866,215,
703,271,305,465,905,110,544,006,920,970,140,290,841,804,711,399,372,799,539,
026,149,541,580,119,110,849,414,915,430,305,771,012,452,903,002,988,088,186,
382,374,623,342,091,196,496,140,075,822,311,843,727,558,384,364,528,359,073,
297,469,317,062,133,425,214,339,026,236,936,813,071,346,314,160,884,670,522,
613,349,467,242,057,969,691,753,987,943,918,624,457,806,328,800,885,456,797,
865,779,004,343,665,778,105,460,126,404,776,668,765,640,720,404,669,936,878,
183,540,409,737,702,895,676,665,655,579,433,544,428,058,457,070,034,290,402,
734,660,246,929,516,054,100,311,876,719,776,328,235,235,143,094,640,492,909,
911,602,237,570,443,733,206,607,723,980,431,934,303,805,391,692,302,932,592,
793,283,525,208,956,675,016,694,032,891,004,550,206,008,384,923,006,308,775,
064,426,592,013,156,409,452,508,213,440,941,666,185,824,300,204,025,794,390,
083,759,377,397,045,103,995,245,377,530,076,697,336,395,635,545,740,930,547,
266,384,441,995,958,621,806,551,795,755,821,559,113,801,539,308,524,368,754,
678,663,377,414,284,721,871,034,789,628,719,240,718,563,325,606,976,670,158,
100,799,219,902,511,296,259,357,446,754,608,145,931,744,573,289,529,335,439,
195,852,263,639,830,048,334,387,556,696,639,186,210,709,391,102,095,563,046,
508,636,603,964,506,234,711,570,867,442,929,060,322,697,822,676,643,000,889,
317,523,935,681,138,316,453,186,138,522,497,835,930,095,239,983,941,616,943,
943,763,192,624,337,191,676,573,141,426,431,571,998,667,028,304,706,589,026,
929,849,869,941,115,072,125,072,190,437,496,934,917,829,626,886,975,533,675,
698,267,555,737,943,734,330,018,564,799,496,644,190,056,169,181,541,570,842,
557,029,210,698,323,681,770,391,251,931,064,876,384,902,977,290,056,202,586,
361,428,787,438,260,004,224,893,789,590,108,272,143,093,370,892,773,502,473,
218,823,040,453,192,747,493,350,572,909,039,620,572,449,398,643,732,762,167,
332,196,087,763,504,566,220,792,700,109,840,868,071,721,392,257,585,761,782,
091,197,352,338,458,692,787,264,944,022,702,308,828,185,493,672,073,453,551,
298,003,109,823,945,040,595,303,634,820,390,082,112,720,418,906,086,654,797,
846,809,620,190,385,701,503,619,568,003,034,174,476,886,096,598,337,954,442,
186,745,048,056,643,437,792,592,671,488,887,670,331,765,732,404,410,337,964,
196,861,457,009,592,720,431,406,782,934,267,709,128,263,195,592,012,745,252,
882,012,449,826,923,329,779,123,047,927,173,248,103,850,751,997,340,615,394,
524,571,189,322,529,665,413,936,366,485,732,081,352,692,208,732,708,754,561,
458,032,370,765,353,504,713,107,737,972,218,713,179,439,498,824,573,634,857,
787,831,396,271,898,319,558,880,116,507,125,714,322,803,765,057,504,418,653,
316,549,125,171,920,937,413,281,220,289,583,435,286,662,533,617,134,197,661,
505,213,981,934,748,811,372,163,933,255,295,375,039,912,941,195,454,827,528,
080,289,711,103,926,639,481,223,104,573,989,694,241,134,478,799,829,823,348,
480,553,601,664,433,480,766,854,999,211,424,600,642,455,981,769,545,015,471,
332,953,051,147,071,325,363,806,633,970,029,990,231,540,836,859,070,934,670,
345,401,574,881,399,282,938,938,405,169,755,227,404,667,085,988,451,088,692,
693,207,744,779,114,192,734,615,827,716,067,165,605,668,450,537,527,393,125,
973,396,364,925,535,099,626,557,855,047,254,729,675,059,421,535,904,760,285,
043,383,722,619,572,592,416,583,100,374,099,548,995,164,320,219,177,472,032,
028,136,021,010,423,352,512,067,550,831,434,770,056,672,897,276,296,984,443,
702,513,033,295,782,933,753,946,464,252,898,601,592,249,094,446,401,077,062,
425,603,622,185,016,786,863,036,850,224,414,472,131,585,856,039,981,427,515,
195,822,103,926,373,377,705,701,911,810,461,838,578,270,737,041,846,870,232,
974,604,197,742,494,066,436,095,013,558,827,642,855,995,033,360,252,981,996,
463,153,814,440,628,989,433,346,319,637,571,861,701,005,917,433,189,160,173,
768,878,216,898,619,530,215,408,720,150,846,713,058,027,410,480,154,109,465,
052,980,684,716,862,868,732,557,770,793,313,136,373,088,168,828,565,034,556,
148,107,468,329,506,429,145,793,559,583,328,350,538,167,955,666,681,657,726,
646,723,460,477,704,586,422,655,034,383,288,604,426,624,290,256,682,038,174,
397,902,707,956,484,829,042,991,403,254,332,299,726,881,133,869,356,051,042,
490,494,734,461,851,745,088,776,005,834,443,115,891,937,626,518,318,394,246,
241,174,407,135,822,295,511,864,065,817,922,993,802,980,064,453,187,538,749,
192,245,658,549,938,257,546,943,074,951,843,505,034,603,130,130,293,866,587,
960,303,802,887,719,193,344,209,600,913,044,493,875,472,497,739,901,203,366,
338,955,933,367,742,566,622,751,100,885,387,998,782,828,896,685,770,993,501,
580,138,220,377,341,860,232,295,119,090,882,579,536,950,404,476,810,950,591,
913,825,853,354,281,158,895,241,163,114,661,997,263,378,963,944,339,182,464,
542,522,051,825,250,086,155,159,673,758,144,551,082,042,227,673,491,691,324,
839,346,811,213,641,272,298,289,455,730,400,294,968,691,946,796,186,284,755,
747,760,443,934,172,825,557,424,989,883,295,060,245,273,864,135,498,714,225,
652,672,395,332,492,947,691,677,564,734,804,188,045,237,318,826,601,300,717,
295,571,030,312,530,257,933,975,943,407,393,147,857,999,034,957,320,674,535,
426,308,146,085,760,229,548,814,690,789,306,418,835,195,557,645,881,387,690,
807,729,677,859,442,311,494,780,757,217,869,750,204,648,806,194,728,307,874,
285,361,871,442,873,832,206,815,476,873,610,934,249,691,801,860,105,365,072,
740,788,668,979,068,159,965,747,887,218,418,565,327,710,731,462,443,838,643,
067,535,886,783,476,959,612,806,576,512,828,046,018,225,708,870,701,819,083,
469,586,137,392,429,817,311,695,692,246,763,150,813,308,867,649,695,462,891,
318,527,393,787,189,294,783,622,966,579,589,767,324,370,419,806,683,696,609,
831,149,579,844,343,754,493,711,099,463,932,302,006,514,723,805,903,196,711,
901,070,914,673,735,897,151,844,732,878,946,864,156,733,084,209,670,742,775,
588,461,153,794,369,545,963,722,929,708,832,922,182,120,518,947,034,951,524,
376,567,132,709,877,056,338,644,852,345,101,945,927,157,336,579,957,316,813,
703,422,711,127,570,738,484,857,894,263,318,442,358,465,100,860,130,497,049,
568,925,795,345,806,312,884,484,897,036,177,234,092,285,564,816,188,586,047,
024,788,024,515,884,857,261,864,881,746,518,536,007,583,485,777,068,664,222,
676,077,338,459,055,387,579,837,223,539,785,327,884,014,231,887,913,668,262,
051,629,520,641,935,100,548,101,798,164,480,869,247,989,071,632,275,469,013,
133,003,174,228,771,343,397,412,526,855,740,462,556,752,545,294,972,398,125,
006,866,323,575,604,499,592,793,668,392,407,621,475,044,463,310,056,725,133,
109,472,834,823,685,463,843,792,764,428,665,555,690,961,729,749,972,190,606,
405,725,342,483,394,801,064,547,438,802,750,542,079,840,885,478,294,221,485,
106,559,991,200,598,600,416,669,159,101,202,380,223,095,017,882,718,016,164,
759,815,357,439,593,447,659,714,451,518,050,974,344,106,956,039,456,703,201,
872,394,520,910,884,712,415,994,382,388,927,406,054,865,576,113,546,283,110,
422,533,932,917,091,684,617,356,115,186,437,161,668,093,560,657,130,121,581,
471,210,362,082,319,624,133,216,345,647,646,448,434,849,437,767,863,276,078,
624,167,899,667,214,909,982,942,718,235,377,905,460,957,671,217,455,694,083,
376,914,794,474,199,541,436,588,688,141,140,484,040,918,585,419,923,482,480,
728,778,254,602,776,104,303,429,780,168,621,955,442,502,806,728,254,343,882,
839,005,058,203,357,540,116,736,502,201,798,524,650,999,522,457,871,868,016,
919,141,027,772,630,983,288,746,682,136,690,346,411,764,879,220,417,259,046,
382,517,997,368,648,830,263,063,235,469,600,445,959,313,804,248,463,490,071,
364,840,647,948,668,902,958,688,460,819,187,612,600,433,294,602,253,403,232,
358,647,699,100,569,102,153,051,455,728,318,007,827,118,250,276,357,107,501,
590,330,074,756,531,522,834,169,042,169,693,292,044,393,806,195,261,397,961,
418,257,262,057,430,481,037,697,737,883,331,082,334,048,885,815,784,166,859,
274,097,871,030,192,961,416,077,367,200,799,040,532,951,591,204,247,255,515,
057,221,350,676,742,903,842,520,228,926,634,985,569,831,524,258,361,362,909,
136,870,363,945,795,572,228,259,809,235,693,395,906,697,197,403,692,941,901,
214,979,450,062,518,078,541,130,978,655,417,417,926,716,905,835,323,385,892,
971,796,490,564,728,471,008,309,597,693,290,510,025,013,620,286,654,877,442,
833,411,826,552,053,055,716,196,106,255,326,119,843,417,655,144,991,092,350,
045,472,821,218,779,961,918,112,835,192,164,241,368,670,187,970,371,539,261,
786,401,010,992,872,220,618,616,655,835,125,943,162,444,091,700,841,286,489,
106,083,499,367,153,990,178,290,753,313,035,759,138,899,153,274,124,732,449,
872,131,728,287,815,879,898,660,422,668,460,897,253,157,668,732,203,200,149,
341,191,230,626,729,708,250,580,707,630,560,618,939,599,776,131,753,388,184,
288,584,238,464,858,446,860,985,618,367,508,406,117,962,508,083,682,386,323,
642,721,794,215,899,468,868,951,102,850,757,519,258,080,376,407,087,138,982,
919,548,395,483,797,047,430,288,983,765,972,740,728,715,693,181,437,585,366,
078,886,262,284,644,021,273,121,734,691,352,222,140,339,299,896,710,325,481,
526,019,411,120,645,185,140,735,041,260,872,911,108,535,870,958,694,031,724,
683,494,411,117,798,251,364,396,992,623,538,938,863,139,222,067,997,093,989,
268,652,464,397,264,049,283,808,405,105,265,319,442,757,368,022,885,540,936,
967,647,764,125,919,468,026,034,024,038,344,006,158,782,201,754,819,484,126,
795,294,467,635,267,275,301,761,812,484,914,958,455,916,865,246,021,873,100,
460,909,120,607,649,005,924,671,098,242,740,824,521,871,467,161,414,857,173,
021,170,192,727,983,279,129,696,437,361,104,971,914,307,490,135,803,112,572,
146,396,298,494,238,384,794,421,932,280,474,036,779,706,750,094,927,266,887,
665,836,067,408,411,018,518,756,328,569,199,441,754,946,374,758,361,756,304,
029,903,635,283,597,730,478,265,997,245,088,279,807,857,092,879,624,492,857,
496,151,730,619,615,019,358,820,844,675,940,610,918,249,317,766,913,820,994,
069,778,134,428,613,581,443,801,958,238,608,764,672,948,187,095,359,525,569,
239,705,230,797,719,677,935,061,573,146,610,845,037,823,712,885,132,096,412,
207,381,526,188,813,753,726,906,747,222,588,349,159,898,080,186,855,296,386,
892,275,439,683,002,529,724,501,386,205,282,960,710,804,251,166,200,979,542,
031,276,059,809,377,076,490,649,732,317,635,124,536,175,888,454,016,416,677,
228,711,519,300,790,118,345,480,600,996,829,049,658,244,459,674,471,742,826,
107,154,262,828,737,717,212,212,765,772,955,554,367,280,908,156,580,641,678,
176,047,228,934,219,603,207,462,566,083,520,594,831,936,967,145,867,097,369,
583,626,684,066,684,467,093,314,438,545,823,580,059,748,323,599,823,462,086,
705,365,891,723,693,680,427,063,090,981,321,067,902,175,834,676,061,495,348,
976,528,662,694,523,292,718,088,603,619,595,289,214,113,480,067,986,011,875,
403,411,070,982,061,946,512,551,867,178,381,997,259,963,603,353,692,877,777,
898,107,510,686,537,376,537,542,454,963,394,069,670,014,926,259,149,993,850,
448,224,242,954,737,913,011,513,941,469,640,727,583,167,959,692,266,481,895,
464,374,519,241,607,622,555,603,464,373,702,822,891,614,543,735,310,241,018,
449,246,411,134,628,842,425,142,328,375,264,178,453,294,765,390,665,198,911,
847,797,317,990,595,668,574,075,903,571,786,835,901,463,948,433,976,464,390,
522,589,261,905,452,649,550,648,480,646,021,079,542,675,868,445,310,888,429,
464,946,299,226,614,988,138,101,693,860,505,768,165,854,068,289,161,851,522,
605,807,485,845,108,446,555,754,904,342,926,084,249,960,529,168,128,561,908,
470,720,665,015,597,412,960,074,100,721,176,419,108,649,530,079,524,468,948,
798,742,334,704,668,672,816,269,676,036,603,836,276,531,561,889,678,594,631,
194,491,651,908,863,552,691,190,874,950,749,444,604,145,190,348,458,365,715,
706,873,931,603,219,800,474,369,574,306,645,002,982,348,244,668,646,291,365,
587,411,784,143,099,062,830,219,980,206,684,918,218,727,035,128,063,372,082,
382,321,428,369,528,328,430,051,309,053,006,790,363,143,521,562,992,025,462,
884,852,270,155,448,169,705,656,689,939,969,628,067,102,901,984,840,196,385,
581,571,807,348,841,022,692,140,073,042,840,925,267,085,517,577,649,198,842,
814,427,646,776,017,944,182,830,062,506,504,281,870,603,984,691,496,701,887,
365,092,447,620,989,170,272,244,833,367,792,068,793,556,507,065,596,897,085,
466,276,723,544,284,554,751,034,405,918,625,192,878,996,218,213,685,890,369,
833,704,519,586,760,602,225,225,056,748,354,486,822,992,047,969,697,644,254,
506,159,072,504,093,764,538,101,839,920,519,844,788,695,585,663,473,697,301,
624,525,117,255,953,817,690,895,963,599,912,933,089,569,856,133,550,653,097,
071,233,768,928,309,545,272,364,683,339,089,860,122,089,250,260,737,282,356,
624,601,567,382,665,311,715,738,739,823,551,233,517,205,126,798,216,471,792,
731,737,418,093,480,467,024,278,680,194,925,491,346,611,835,342,545,211,287,
616,191,794,053,873,873,132,338,997,090,054,991,206,868,219,143,594,086,965,
523,087,633,338,609,762,134,253,256,732,634,019,685,971,951,932,406,677,036,
690,925,215,576,759,315,163,310,385,944,915,661,192,858,086,858,759,332,429,
369,040,409,442,380,683,132,652,639,100,845,395,070,516,642,189,479,703,264,
984,585,024,217,430,789,162,873,861,894,677,908,339,086,009,861,057,738,641,
627,767,100,386,410,118,099,590,141,735,130,094,801,490,980,659,098,560,914,
595,207,264,317,964,102,936,534,898,105,744,582,383,558,411,564,008,625,540,
833,632,881,590,379,923,453,363,747,216,250,348,591,710,940,510,489,558,903,
296,670,936,356,832,209,586,914,440,954,172,579,944,364,001,489,407,591,838,
021,972,739,629,385,510,451,835,505,305,597,708,685,006,626,381,784,100,634,
241,829,739,076,823,115,682,070,039,527,946,325,721,107,595,732,171,801,668,
920,570,741,129,706,710,216,601,832,549,814,046,968,628,430,820,340,801,137,
557,200,869,502,975,705,387,650,098,733,491,913,699,647,858,273,335,464,667,
673,095,565,168,930,906,835,923,852,173,915,205,000,856,687,032,206,879,448,
692,111,370,269,894,645,641,069,619,351,172,418,196,573,225,249,369,132,547,
886,558,972,748,408,652,451,972,694,012,205,217,589,237,309,183,582,981,716,
191,797,312,003,363,628,778,979,726,612,951,531,787,361,443,106,050,687,750,
495,474,360,696,246,188,510,987,101,734,686,715,848,616,888,998,734,624,638,
145,810,832,769,477,105,906,586,435,773,370,203,752,239,758,683,657,451,636,
725,799,943,305,979,316,153,909,317,190,347,180,269,935,668,862,942,114,833,
686,526,924,955,527,818,776,277,020,211,961,363,659,523,199,143,494,125,546,
065,109,332,072,127,432,727,219,684,026,976,388,151,538,644,591,616,254,472,
632,355,879,450,239,403,761,386,240,384,371,330,666,048,152,947,208,809,755,
537,365,458,860,595,208,778,239,494,075,627,782,253,341,784,745,445,520,161,
356,685,255,295,123,071,015,466,932,958,809,680,262,968,617,192,135,612,410,
940,119,196,670,124,036,411,535,865,215,486,829,588,531,022,158,520,463,301,
591,146,451,988,602,415,826,124,200,502,675,904,828,774,678,524,026,080,100,
256,031,728,425,494,055,169,240,725,488,647,521,642,349,832,770,853,175,438,
138,757,019,984,656,472,965,594,540,053,641,447,978,004,836,637,514,508,305,
733,785,183,658,162,352,474,829,896,675,102,634,124,683,614,861,739,648,718,
053,127,328,606,127,159,183,753,909,958,551,965,736,460,220,526,938,354,632,
381,049,763,541,979,904,090,309,205,039,308,722,490,793,225,512,906,440,504,
953,823,875,113,212,126,306,425,749,143,345,707,545,794,507,422,649,992,901,
035,067,690,024,010,793,567,389,849,976,781,390,617,427,286,195,596,347,694,
032,552,689,342,472,399,798,124,367,989,620,191,784,563,988,532,485,073,263,
945,279,469,920,629,196,889,095,011,057,751,567,491,672,116,559,777,251,284,
039,954,916,913,313,451,092,294,129,168,337,224,647,403,812,107,526,387,667,
010,895,916,536,885,492,295,134,338,367,388,617,656,461,014,552,424,883,228,
944,945,135,296,961,395,404,379,318,209,323,541,594,842,395,034,352,488,474,
287,080,588,558,832,178,071,584,142,633,670,142,788,358,395,754,376,803,531,
477,319,909,946,861,640,337,689,300,364,997,358,778,578,230,092,231,659,139,
609,867,725,124,072,956,922,626,384,603,261,309,524,566,938,503,266,734,326,
039,703,041,951,321,947,451,519,894,991,899,415,478,984,449,928,180,579,517,
982,304,766,983,580,216,610,324,041,629,284,250,909,068,289,038,483,046,202,
433,188,120,208,432,338,382,231,872,581,950,502,400,656,540,328,400,071,065,
999,944,980,293,135,678,478,556,169,111,504,923,230,094,960,384,172,931,585,
115,163,037,166,992,238,525,825,933,204,127,559,771,803,117,335,776,035,542,
860,551,374,810,677,311,910,001,327,541,387,930,825,461,085,427,366,417,520,
095,479,317,402,761,094,419,364,977,613,239,743,149,859,377,699,779,109,887,
217,202,918,476,323,593,557,124,254,077,740,571,038,607,819,438,426,809,017,
684,109,226,716,468,235,840,552,246,260,061,011,678,767,320,155,914,198,901,
758,410,579,015,773,969,964,352,012,407,591,398,857,580,046,671,128,480,480,
029,602,550,217,299,706,261,781,637,628,091,592,690,155,192,988,607,847,939,
228,147,789,531,338,879,461,450,479,588,236,092,642,208,521,828,140,087,280,
379,020,788,638,532,070,062,862,801,189,919,669,328,552,875,002,918,868,408,
602,586,936,604,980,707,112,439,530,893,700,917,797,583,558,132,410,702,323,
292,526,805,453,768,443,654,810,854,177,320,740,446,818,976,233,777,761,579,
961,415,350,137,565,282,487,415,850,235,224,659,549,237,542,990,738,410,064,
036,535,083,989,055,840,878,714,722,089,852,677,109,720,466,874,976,753,654,
111,356,834,490,200,393,101,488,787,379,206,958,021,231,115,555,808,935,213,
235,202,720,063,524,700,397,244,764,267,915,417,067,972,393,120,770,964,714,
820,370,738,098,651,001,385,389,949,403,144,234,215,263,227,257,801,039,794,
421,949,683,222,314,939,982,520,379,877,926,307,087,451,548,632,731,736,124,
091,251,893,832,623,481,831,162,698,874,363,248,412,621,529,937,805,706,760,
819,205,032,838,110,190,907,845,854,894,035,190,643,956,948,245,132,730,409,
697,289,188,431,818,793,858,342,847,454,424,676,724,185,713,335,964,330,115,
250,647,813,840,441,053,468,950,818,230,006,043,869,581,192,646,592,080,316,
099,468,128,948,345,980,331,542,102,902,921,098,973,572,614,435,273,507,749,
806,769,627,968,383,826,845,211,273,310,080,338,882,847,525,830,776,155,500,
187,865,488,345,800,108,885,187,266,619,808,769,997,514,013,619,264,492,868,
654,069,463,355,074,517,474,399,032,273,914,800,586,116,454,136,962,029,968,
460,377,682,328,956,280,112,663,299,096,520,703,237,158,975,974,548,949,255,
231,695,406,406,568,005,402,732,164,128,849,742,346,601,848,634,096,734,101,
661,820,027,875,542,613,917,188,538,151,371,258,560,588,668,966,429,519,740,
469,314,099,129,936,725,157,118,546,990,048,458,536,568,530,896,869,498,259,
601,750,691,471,406,160,960,550,474,007,561,351,673,172,316,921,832,547,840,
480,469,927,653,806,452,092,761,961,504,757,835,256,005,060,022,212,516,516,
153,285,828,886,043,240,384,617,924,869,312,534,686,624,698,781,777,169,399,
721,295,973,085,042,877,277,959,696,543,554,741,447,693,500,005,853,411,566,
768,189,969,348,248,186,143,332,452,772,334,403,165,578,897,984,909,734,675,
768,484,795,425,479,864,941,355,819,479,500,444,409,112,234,883,151,814,247,
264,994,138,816,997,183,030,771,262,877,813,390,048,964,218,622,604,916,533,
690,859,945,691,498,816,338,048,161,115,139,677,643,031,010,754,929,396,558,
190,691,471,218,790,236,870,243,627,000,845,031,033,441,361,264,492,154,025,
714,106,602,156,386,579,731,133,620,230,040,694,331,337,562,355,124,128,377,
551,343,933,556,868,872,283,379,755,126,460,633,298,351,564,536,685,465,058,
809,044,481,732,961,770,528,603,214,060,054,467,345,552,731,470,698,634,115,
503,323,784,150,511,723,741,085,116,104,673,758,112,033,302,867,900,829,859,
641,388,634,292,713,989,952,744,306,452,042,716,537,650,330,652,534,696,355,
150,052,760,760,939,792,756,469,706,360,668,873,943,093,130,320,200,483,453,
164,063,926,850,117,978,657,380,241,207,333,342,105,900,762,503,722,870,355,
116,078,327,716,754,063,770,270,799,446,179,588,490,321,195,881,417,842,715,
283,947,927,158,342,739,573,382,135,311,007,673,721,758,666,286,009,610,166,
486,826,318,208,510,076,846,053,832,470,446,653,974,359,459,739,060,364,523,
261,609,536,172,173,803,692,813,223,647,480,950,140,983,268,069,723,678,686,
479,080,320,666,039,116,225,609,756,935,469,902,614,918,179,745,195,305,846,
734,926,903,994,665,107,344,202,163,969,262,039,001,452,175,111,331,362,157,
149,763,347,328,269,526,596,606,314,131,719,093,700,758,604,942,094,184,031,
418,700,853,059,626,402,724,513,337,948,187,824,959,895,049,676,201,297,301,
208,304,256,949,950,457,859,420,288,665,551,789,571,409,969,787,294,636,638,
352,002,891,903,783,416,822,087,206,401,227,871,359,520,335,794,885,556,858,
650,633,964,949,591,635,013,616,388,774,384,082,449,634,642,112,044,780,896,
367,148,316,826,607,978,461,810,432,823,681,514,906,073,715,142,810,937,347,
418,529,624,178,588,824,832,567,778,089,877,043,221,894,261,687,424,101,134,
345,512,970,661,722,125,506,237,211,104,540,400,362,698,023,709,200,491,015,
888,382,755,354,236,349,526,029,132,921,655,837,078,325,284,414,759,025,719,
585,561,235,353,892,929,199,413,073,716,528,272,112,480,318,487,294,519,591,
881,377,488,293,275,221,103,405,480,985,215,527,522,941,291,438,374,558,423,
088,972,113,639,525,380,770,721,083,306,188,477,011,721,767,713,591,673,788,
442,182,527,473,359,501,548,940,960,705,592,516,757,668,164,596,623,838,805,
596,648,802,768,027,074,494,346,280,903,320,959,875,802,632,169,524,207,407,
703,436,057,835,395,981,331,735,408,763,001,688,928,418,446,484,359,130,643,
767,739,836,092,115,442,554,537,725,955,586,116,326,924,242,571,127,705,278,
151,794,152,512,642,213,195,726,919,109,627,963,240,713,084,036,189,027,811,
266,272,354,077,686,459,796,635,287,243,061,671,928,198,985,138,416,903,889,
414,308,296,404,542,185,338,392,771,684,531,474,519,038,292,639,738,229,734,
103,592,130,776,713,260,539,306,708,952,951,104,496,476,649,389,086,373,166,
901,963,350,582,612,850,897,072,964,255,486,447,586,362,809,685,302,336,428,
621,321,350,698,614,369,878,520,061,794,762,328,090,036,826,989,649,965,245,
312,553,454,575,747,442,743,657,314,174,087,541,871,217,695,610,007,482,476,
185,571,975,052,242,029,735,781,211,849,753,730,372,681,840,041,161,799,559,
391,318,059,609,770,001,412,724,729,515,680,450,263,081,644,130,379,029,337,
238,635,888,508,696,523,339,053,701,119,778,585,587,747,311,300,471,253,644,
285,281,357,482,778,532,067,307,720,203,841,517,918,425,877,576,984,061,075,
690,326,177,861,475,732,045,562,300,388,506,848,301,710,818,492,330,550,670,
667,499,407,521,833,449,095,759,352,758,748,418,435,037,919,588,341,518,077,
570,676,053,930,876,597,884,865,158,145,485,646,038,419,173,230,122,830,823,
547,683,123,634,174,428,201,200,761,128,761,182,333,126,626,410,746,270,424,
349,025,784,433,552,742,420,008,818,525,078,924,257,129,963,254,455,412,043,
161,191,005,393,555,672,945,448,130,278,868,760,436,630,413,926,588,696,318,
560,036,494,766,593,348,468,329,946,281,016,015,130,210,550,399,649,877,028,
795,646,533,708,602,175,042,226,522,688,779,305,478,403,908,324,070,624,373,
759,758,400,937,733,250,351,548,321,543,620,745,058,584,452,409,885,953,696,
722,961,554,335,807,174,652,058,435,401,759,959,262,437,791,610,284,032,382,
378,692,689,775,675,523,825,919,895,685,700,748,194,704,815,177,045,829,612,
131,653,496,812,389,911,283,930,985,857,830,468,732,062,887,465,158,638,819,
097,630,432,784,336,121,036,431,331,595,179,944,958,903,883,176,623,897,082,
845,381,963,679,104,370,397,292,098,255,737,097,001,090,391,683,110,181,149,
224,196,958,011,447,927,588,527,965,830,300,334,282,594,539,946,557,897,162,
754,346,208,335,772,261,438,792,676,028,622,974,925,602,447,969,413,744,826,
396,460,059,845,692,801,590,911,650,010,091,639,911,097,022,672,748,577,350,
735,537,350,300,904,302,540,064,343,380,582,559,845,627,980,564,201,708,879,
637,917,524,315,765,322,155,718,082,511,420,130,419,092,469,351,567,482,148,
519,270,425,382,280,579,095,146,902,564,601,862,617,361,502,559,879,580,849,
695,883,658,149,072,848,107,190,971,547,265,339,932,346,719,720,744,197,960,
807,293,496,530,560,047,783,299,849,841,340,695,648,581,453,450,822,874,974,
811,960,320,137,701,383,135,749,782,857,848,991,296,816,466,743,901,936,689,
372,831,891,106,408,956,519,919,552,937,056,330,727,996,910,669,722,038,939,
863,239,579,811,055,582,432,915,564,269,949,342,096,463,614,686,380,594,159,
464,037,192,143,578,467,546,197,950,886,749,477,938,295,821,753,834,114,391,
371,649,354,303,539,306,995,494,183,540,004,764,049,076,847,679,367,062,063,
101,112,048,704,342,215,359,941,975,662,989,379,747,648,392,555,808,282,408,
530,357,107,113,250,388,450,505,461,144,346,087,578,858,318,244,467,277,554,
224,892,637,590,830,170,213,239,005,996,961,356,672,079,960,426,074,227,113,
771,444,369,007,821,921,798,017,608,754,992,930,065,669,956,288,040,665,189,
330,115,201,681,887,346,207,296,601,198,696,424,975,911,010,991,483,062,588,
542,435,069,440,473,445,263,952,735,807,598,714,939,710,352,683,881,792,845,
666,830,624,421,185,058,397,188,461,698,698,712,246,524,692,106,207,952,695,
114,062,192,838,513,137,586,936,334,249,872,225,555,483,964,470,236,742,222,
152,240,101,071,103,863,691,365,739,990,396,750,473,040,167,251,683,773,474,
203,664,077,191,758,964,978,669,695,489,755,393,317,530,404,131,207,129,225,
091,963,844,583,824,343,684,186,206,891,514,843,149,905,104,177,486,913,980,
336,882,065,798,858,338,961,695,149,591,112,408,715,882,309,236,893,012,076,
056,034,740,748,725,805,242,653,098,286,902,012,981,397,282,386,376,123,020,
260,867,214,459,985,339,673,392,948,901,024,023,226,604,461,049,673,009,849,
358,493,492,318,349,817,276,384,476,982,108,012,616,189,028,812,128,990,831,
994,689,913,516,063,274,528,449,305,870,344,517,440,071,193,295,028,504,095,
706,337,580,073,100,108,881,202,852,400,523,608,023,032,478,011,587,576,726,
807,856,501,931,786,550,433,956,099,224,824,285,642,805,901,712,570,358,079,
303,590,134,062,274,631,912,368,502,908,835,029,709,829,613,649,111,187,419,
959,724,554,299,182,186,144,833,385,570,626,947,342,395,568,695,742,598,350,
029,431,511,931,484,589,295,342,520,428,953,191,203,543,084,258,808,308,848,
672,639,936,734,068,635,430,470,977,831,738,355,019,544,459,759,997,046,554,
935,716,352,981,279,836,482,546,836,534,958,432,619,238,686,412,873,880,182,
781,516,832,978,284,112,756,176,081,259,841,154,970,709,919,961,668,293,579,
069,130,700,122,968,826,039,765,863,758,657,239,994,498,015,857,758,453,916,
295,966,721,551,732,312,663,466,368,582,728,697,054,711,809,369,797,911,533,
376,984,371,636,458,007,079,270,321,127,909,939,343,126,510,856,898,596,596,
146,630,718,861,128,753,914,663,719,797,183,597,302,183,253,902,682,595,685,
049,753,795,707,007,946,649,770,379,723,677,171,135,972,452,732,044,724,322,
052,367,830,837,598,107,157,045,372,158,228,718,492,335,513,403,670,902,899,
042,275,591,185,009,448,693,424,022,891,621,928,081,828,755,905,644,436,461,
615,421,241,813,768,423,796,271,814,317,628,930,145,498,423,355,642,907,609,
776,670,846,244,969,086,725,196,923,138,217,120,132,900,261,622,953,554,586,
603,601,013,679,309,544,741,382,147,047,339,957,963,133,131,610,178,422,840,
501,076,631,710,697,674,503,663,261,743,807,262,353,834,857,241,859,164,207,
723,141,104,434,580,761,729,670,185,808,701,983,033,680,310,455,392,817,214,
221,303,180,724,152,518,917,947,094,019,565,423,437,608,471,105,413,002,337,
630,179,360,367,088,802,355,876,377,206,031,885,073,587,582,965,261,922,864,
370,273,393,042,728,212,301,055,951,483,034,482,166,578,396,283,906,643,195,
640,916,460,740,104,757,918,198,601,834,214,766,799,994,069,040,999,398,266,
878,485,842,844,169,127,248,161,105,884,759,413,092,472,898,954,263,684,280,
890,753,399,007,807,898,514,460,672,096,476,120,429,739,708,314,311,647,075,
732,967,430,511,539,496,088,158,890,319,653,479,702,304,451,099,695,414,348,
131,720,837,539,114,225,146,794,506,188,870,051,106,648,008,935,459,554,229,
487,234,951,711,940,057,137,723,277,629,017,356,374,868,491,196,921,533,263,
681,339,633,293,530,243,348,213,725,820,270,270,310,874,911,435,004,822,281,
755,264,717,289,262,122,756,812,434,560,185,170,287,367,152,008,030,048,779,
889,413,499,629,558,878,987,888,749,217,056,833,725,226,470,871,931,220,466,
304,205,431,261,218,478,723,172,016,281,999,795,537,657,739,349,328,921,784,
763,281,330,323,558,901,592,113,174,554,338,058,608,410,065,724,482,956,206,
594,815,822,199,240,224,375,337,091,556,207,230,654,553,131,327,915,564,537,
624,321,546,850,499,967,067,414,572,545,780,853,420,283,505,580,621,192,936,
557,123,476,470,448,717,218,943,603,577,170,886,363,896,268,657,157,001,369,
841,360,779,376,054,832,232,498,529,125,956,953,064,755,061,291,185,770,322,
945,733,633,006,058,399,445,306,114,552,291,110,359,779,519,239,269,509,824,
873,442,625,870,567,970,106,382,580,787,198,204,200,865,160,480,367,394,610,
946,435,295,574,191,606,332,079,728,271,053,419,579,959,568,283,661,272,313,
711,651,451,119,015,139,351,576,630,465,975,112,596,230,688,708,926,736,041,
082,040,284,057,267,883,117,188,891,941,978,335,042,902,355,647,623,061,194,
334,571,249,567,541,504,203,935,438,711,289,601,541,458,902,213,364,901,246,
236,941,474,431,289,040,480,144,896,468,802,224,837,509,973,535,967,354,210,
757,732,578,091,387,394,462,801,586,331,564,105,801,483,565,646,464,964,478,
140,489,071,188,192,387,921,632,282,353,079,522,313,962,677,594,885,243,187,
796,268,229,256,108,415,612,958,797,023,649,648,751,804,768,326,444,576,389,
262,268,410,899,520,389,289,356,037,375,449,399,440,325,348,119,193,189,119,
752,348,909,691,594,897,174,192,823,079,100,345,036,842,630,501,925,497,633,
077,348,406,807,106,113,790,687,046,420,231,739,234,047,274,719,004,188,211,
911,620,667,906,117,032,433,781,812,817,450,545,240,720,381,611,365,418,535,
217,187,176,306,118,761,391,646,979,997,751,344,588,389,052,808,969,708,342,
578,726,968,783,956,436,430,601,227,269,072,352,041,980,687,491,831,935,388,
663,802,949,807,351,542,911,053,230,375,266,589,209,008,339,613,575,241,218,
508,308,717,623,686,412,732,561,059,382,636,999,633,994,739,446,269,044,952,
147,434,388,590,945,706,165,053,138,319,913,585,393,189,788,160,114,931,523,
663,427,920,980,778,067,638,481,405,783,733,805,743,293,381,363,157,747,127,
167,584,194,107,513,606,712,108,532,853,911,573,776,512,591,329,638,084,233,
107,313,126,563,672,427,434,564,603,855,905,664,228,512,509,565,532,571,862,
998,181,396,105,628,111,379,820,867,868,397,727,037,996,115,897,353,792,069,
632,770,804,717,242,086,807,048,218,212,641,109,966,087,494,455,652,600,575,
527,170,882,946,986,169,216,964,674,322,387,628,201,315,903,127,467,723,229,
502,188,285,016,755,045,454,938,577,345,850,568,890,300,248,765,082,551,020,
665,449,597,679,325,018,586,065,368,468,752,332,068,372,155,513,835,925,907,
465,309,075,428,235,265,689,021,337,213,120,428,767,468,054,063,437,188,402,
637,625,053,511,200,710,146,553,320,378,010,178,052,105,169,231,399,620,007,
370,747,498,769,750,384,489,643,650,247,416,402,382,286,235,860,506,469,448,
110,454,249,311,568,732,227,894,626,317,187,411,207,317,338,517,911,766,663,
774,894,370,600,289,296,752,397,390,154,884,620,076,378,863,696,594,447,530,
824,901,089,804,030,450,809,460,299,676,673,958,410,618,574,841,359,051,567,
234,248,417,197,568,780,669,122,450,016,586,417,943,639,018,627,730,499,988,
048,641,366,775,550,031,193,678,599,835,720,238,332,783,964,639,017,398,925,
875,792,233,914,695,760,797,371,098,578,515,420,687,356,382,452,817,477,901,
428,054,694,308,487,953,499,188,414,075,851,242,230,569,453,447,331,011,008,
565,416,235,222,276,637,696,639,705,295,196,378,094,957,212,379,569,094,236,
199,126,666,727,854,663,267,853,463,167,053,797,072,610,908,105,739,040,094,
401,029,521,044,375,088,423,997,959,014,295,007,046,383,748,000,084,694,520,
544,936,932,673,300,555,504,309,898,943,180,830,747,675,444,792,767,293,405,
196,266,564,867,692,138,865,935,591,751,251,603,358,353,902,837,590,074,178,
389,584,774,567,226,119,996,253,734,212,186,537,266,098,531,718,528,713,059,
581,733,248,025,185,881,196,585,005,558,166,280,094,123,448,875,740,283,627,
921,353,850,142,829,692,275,629,161,617,352,542,127,536,087,917,937,071,348,
383,969,818,850,710,384,952,059,305,532,919,190,966,633,995,451,797,441,459,
886,197,608,956,553,949,515,322,245,272,591,816,654,752,700,199,377,226,832,
055,682,545,022,980,067,678,983,893,479,845,896,418,202,898,113,047,978,106,
122,879,096,112,346,306,019,049,999,683,675,716,819,912,226,903,351,417,707,
794,116,308,409,890,051,360,175,593,227,391,882,666,221,333,737,188,070,678,
212,656,972,151,152,556,952,212,406,010,009,198,721,428,433,784,307,584,973,
856,985,038,930,883,913,321,118,696,907,565,472,234,402,190,914,895,567,545,
313,493,427,632,744,004,170,565,516,677,895,636,435,678,718,702,236,275,440,
049,239,371,756,801,913,052,958,462,156,139,656,218,946,914,715,495,797,477,
331,930,570,216,048,114,653,883,084,708,054,525,306,439,207,057,785,466,832,
455,958,672,881,576,875,623,718,002,230,518,210,475,803,188,248,443,417,414,
997,004,744,717,928,190,738,988,969,429,316,315,411,737,052,143,235,803,041,
339,120,844,145,559,512,987,326,323,255,583,095,650,322,109,802,708,196,603,
021,731,040,017,387,402,462,714,089,992,523,574,766,524,254,199,368,203,780,
243,440,337,672,698,794,750,862,320,772,930,858,361,966,049,168,188,891,549,
511,057,299,618,831,227,628,118,710,878,389,822,055,585,909,445,469,195,236,
059,692,262,867,015,170,752,734,419,518,784,782,782,124,601,508,080,295,446,
902,924,970,176,028,363,144,884,267,236,426,169,993,177,577,623,465,525,960,
945,757,362,259,714,799,787,801,961,171,971,699,594,284,051,530,304,186,707,
359,493,787,342,147,368,567,106,726,609,475,217,623,524,397,405,878,746,164,
187,307,344,161,961,913,479,465,028,608,995,357,659,998,088,520,329,370,917,
916,517,495,100,176,112,031,755,693,497,029,892,522,857,268,631,554,332,339,
727,873,354,522,167,190,299,685,470,277,958,450,378,842,796,891,076,390,578,
744,087,480,718,412,836,837,275,349,864,280,325,600,779,032,892,721,821,166,
786,132,795,234,583,925,259,579,521,165,795,955,904,744,447,978,261,148,668,
468,981,873,391,037,444,835,264,629,892,896,521,020,742,103,435,502,191,314,
545,565,287,758,780,465,136,014,491,806,900,994,642,018,522,328,835,699,391,
159,448,301,538,295,514,070,792,595,124,057,197,997,541,180,109,639,830,130,
387,177,924,797,490,185,413,373,824,915,730,544,667,830,174,702,651,395,793,
436,935,695,788,714,686,696,695,917,559,331,056,280,885,865,344,462,997,169,
111,401,478,060,761,835,161,238,221,848,698,767,749,050,931,330,390,007,300,
439,971,024,772,723,996,779,332,092,618,380,095,227,011,936,461,492,756,780,
566,915,544,145,709,083,760,425,474,671,214,639,921,243,466,969,542,615,680,
366,342,676,418,732,978,766,216,680,648,485,508,626,609,806,010,778,469,781,
582,464,643,291,854,047,412,904,300,423,620,949,464,121,625,273,266,955,602,
846,846,221,653,929,837,100,104,092,285,198,759,184,801,073,481,336,445,665,
907,888,925,358,207,613,521,122,626,582,796,216,608,500,519,467,915,981,691,
243,290,440,389,774,071,713,525,714,010,898,499,952,978,215,337,583,652,629,
207,928,966,874,420,256,403,203,481,984,502,442,350,604,566,661,189,865,953,
098,059,397,836,492,881,339,308,631,881,318,682,891,559,822,647,743,789,683,
459,522,029,101,898,904,320,879,923,184,202,554,890,677,860,331,716,870,451,
413,065,845,329,162,870,610,056,426,344,731,377,655,476,549,681,520,119,171,
780,930,262,333,790,064,379,976,376,828,486,218,294,944,195,350,923,611,783,
093,779,724,045,605,402,354,226,038,240,103,970,264,117,666,382,267,937,610,
174,669,855,467,058,616,136,071,123,669,481,078,381,864,721,767,955,251,825,
294,852,796,508,237,507,162,973,175,690,959,767,651,987,284,204,538,668,975,
531,679,880,518,473,932,126,080,196,444,089,124,219,787,832,278,460,987,788,
982,534,320,527,033,496,814,555,824,192,827,354,376,416,303,339,732,339,508,
470,684,028,325,048,984,036,793,097,337,314,538,511,139,666,994,016,506,630,
589,376,548,135,074,955,866,172,306,851,991,847,405,983,484,200,287,120,823,
230,995,374,475,898,009,409,371,830,335,479,985,426,670,004,898,920,764,870,
701,218,409,242,870,183,746,091,454,439,343,917,659,662,933,013,537,713,232,
062,532,515,275,632,689,984,902,377,582,913,322,585,934,766,437,574,014,003,
936,396,475,434,364,797,295,528,293,295,295,780,215,623,569,787,937,370,500,
518,593,966,743,733,660,489,216,910,481,833,533,882,345,704,183,575,115,945,
337,731,524,608,190,164,218,037,441,891,870,306,066,128,165,418,062,760,746,
180,593,286,079,956,704,580,344,409,632,775,690,513,025,042,319,632,688,013,
920,293,547,126,856,469,409,661,082,215,599,760,511,458,841,678,211,548,137,
272,659,348,040,024,699,154,644,340,091,409,043,500,683,857,038,917,369,554,
788,009,222,831,689,162,249,165,451,913,489,470,911,075,019,324,963,179,245,
135,490,229,668,577,124,015,940,324,200,686,598,753,200,783,789,258,099,094,
671,442,699,475,383,829,981,635,766,377,949,635,221,442,303,301,326,126,875,
939,450,261,390,859,938,829,619,526,540,847,203,856,471,490,889,354,284,264,
714,817,211,417,060,169,162,270,484,630,663,914,958,957,456,524,380,949,905,
590,611,424,784,725,761,756,712,505,846,977,030,572,971,133,911,543,331,365,
712,051,358,664,283,253,250,971,841,102,140,760,538,880,275,949,623,392,209,
829,967,662,508,135,596,438,404,840,486,046,724,237,048,813,901,738,155,542,
779,549,611,462,217,401,614,029,309,217,921,129,166,302,043,846,503,036,539,
994,613,031,813,369,280,733,020,536,553,143,742,436,760,423,432,215,701,820,
373,924,364,394,893,815,807,449,813,266,407,023,401,158,908,068,822,964,928,
381,474,623,737,579,386,843,010,319,462,372,966,193,295,369,826,259,349,028,
749,438,151,628,045,326,692,220,801,476,960,630,007,712,913,870,495,802,236,
652,964,527,871,379,724,746,920,235,550,048,429,465,089,833,226,167,731,629,
439,160,791,779,116,434,558,163,233,399,838,396,120,105,890,998,284,444,996,
752,656,309,858,157,390,749,062,141,477,258,585,695,810,584,310,747,998,684,
611,156,666,949,140,030,342,507,068,675,311,424,303,186,426,795,080,536,136,
719,641,613,443,659,431,889,755,797,750,496,172,796,136,369,480,054,903,248,
505,650,813,685,065,725,971,411,109,115,438,989,193,837,961,757,279,700,830,
919,519,164,451,010,581,456,148,544,028,763,987,279,641,194,671,869,662,965,
706,492,751,734,670,589,376,514,749,657,594,274,687,660,781,403,459,962,972,
964,390,087,075,438,769,209,204,712,798,023,886,188,748,708,363,195,534,977,
475,078,351,007,587,412,562,987,380,650,878,799,460,986,686,166,731,027,984,
822,309,798,862,136,969,795,832,647,523,989,246,381,370,285,438,653,471,746,
442,016,974,904,603,514,113,160,996,588,700,804,090,511,300,997,946,960,293,
296,607,939,844,485,135,188,057,899,179,228,966,680,370,722,949,082,885,681,
458,562,816,232,313,111,999,394,764,271,683,412,511,517,037,887,357,502,347,
351,366,745,031,246,256,589,141,248,269,960,852,602,690,670,125,114,125,128,
341,495,126,571,067,869,973,075,213,873,877,415,118,992,035,780,992,826,670,
413,305,533,755,397,735,294,827,057,927,049,319,578,589,982,541,230,401,940,
570,750,998,942,528,196,951,253,326,486,991,573,625,410,636,465,397,738,805,
606,571,219,859,395,591,444,228,043,847,792,744,914,756,295,124,634,883,982,
808,596,138,312,666,526,950,810,381,418,375,440,110,422,839,037,893,113,833,
074,948,672,669,451,275,400,367,099,169,330,992,743,929,479,288,028,579,846,
058,722,631,831,503,449,616,014,601,689,108,151,848,520,703,801,135,233,496,
487,031,100,497,736,244,564,892,226,874,800,689,804,017,924,796,039,393,975,
758,143,553,838,627,972,955,259,392,016,803,662,555,492,994,295,544,655,719,
333,616,451,833,671,851,993,080,572,976,383,079,710,199,028,155,418,950,134,
514,008,076,643,003,986,993,093,894,314,473,783,668,444,347,459,629,525,902,
734,013,153,451,384,892,893,241,149,745,725,075,907,621,070,821,206,987,730,
423,941,339,187,382,839,525,083,955,790,268,656,696,394,652,387,519,670,774,
010,310,672,992,433,704,604,565,677,252,793,425,785,243,697,371,127,953,767,
492,867,873,782,332,158,165,930,054,769,026,587,919,825,853,921,788,911,372,
609,631,359,597,739,335,695,191,595,992,562,362,226,924,705,436,301,490,551,
800,535,812,747,069,707,561,478,039,481,045,410,506,566,210,606,482,280,368,
316,130,293,553,845,232,258,351,670,908,640,168,383,266,675,638,272,117,191,
769,769,938,271,128,487,128,743,381,845,183,022,494,130,354,653,007,127,576,
781,970,256,424,148,422,283,282,636,459,577,996,763,807,756,335,374,000,024,
543,509,506,879,591,648,284,194,797,653,286,702,735,404,358,578,830,075,572,
366,097,227,786,066,875,572,987,633,300,122,281,917,161,293,437,401,054,809,
728,928,535,174,573,317,931,623,758,440,157,845,479,112,253,162,485,393,740,
954,876,363,355,504,428,200,866,888,516,655,542,603,558,880,098,693,821,733,
550,455,447,752,508,963,795,577,250,911,181,172,763,306,025,859,908,782,557,
519,416,395,410,048,228,153,661,347,270,234,860,510,416,812,940,259,449,574,
885,810,980,528,855,851,157,429,804,137,718,624,008,767,060,302,120,789,864,
507,015,209,939,990,255,641,409,246,022,293,429,905,576,758,091,427,108,441,
153,983,776,681,154,157,654,165,370,513,531,339,017,622,608,080,128,646,294,
941,757,081,926,516,357,105,210,201,407,959,506,278,959,393,223,570,647,162,
874,529,957,201,265,249,992,297,298,892,069,380,087,184,701,899,921,348,766,
533,624,530,814,290,957,800,285,900,264,070,794,892,712,700,099,869,018,137,
626,678,250,248,689,596,797,818,117,510,267,191,047,513,291,585,901,562,048,
394,648,368,247,080,507,340,146,076,477,358,685,231,446,300,003,308,309,868,
734,763,749,029,170,755,454,464,818,041,514,179,293,039,595,003,542,502,281,
103,925,398,380,964,258,217,105,848,504,003,132,856,883,159,815,428,549,418,
723,601,321,419,357,628,099,922,888,263,742,369,410,130,054,920,953,512,417,
126,759,863,619,934,841,242,198,939,381,854,351,182,417,527,249,997,043,561,
548,608,885,386,233,135,584,740,966,738,870,335,148,929,429,994,351,041,497,
393,260,510,787,138,540,325,356,069,371,576,049,192,489,474,610,451,010,220,
108,491,509,500,931,705,783,457,203,263,518,578,804,877,144,731,914,130,715,
132,143,197,580,847,964,324,995,611,740,254,593,507,876,164,211,302,732,813,
029,485,676,307,791,204,138,500,505,183,831,479,308,161,091,217,766,966,746,
635,496,556,034,648,597,300,554,289,315,806,492,346,173,906,330,862,906,588,
632,622,494,604,114,841,561,402,153,011,098,096,021,899,463,162,127,165,567,
378,731,688,517,189,380,347,442,214,135,610,715,019,069,746,361,223,224,730,
963,491,668,542,075,547,858,536,159,056,153,760,319,738,470,642,561,013,118,
909,728,230,674,539,007,425,953,124,626,876,020,340,666,387,937,439,366,877,
912,881,779,118,016,358,958,417,076,302,498,514,410,479,627,315,264,001,974,
562,077,232,664,591,300,509,198,813,041,219,857,736,866,961,137,757,612,992,
148,805,839,428,510,177,730,197,584,850,808,687,208,404,437,036,005,151,594,
216,837,649,075,103,421,497,359,085,926,637,734,630,572,521,808,199,510,808,
187,614,702,190,364,875,635,858,826,649,608,461,446,594,313,893,782,783,454,
119,198,728,577,256,544,623,000,280,980,115,503,484,098,304,635,477,831,904,
366,532,168,070,907,290,966,646,688,663,233,659,706,018,939,074,433,417,317,
141,194,534,986,927,032,617,106,162,174,011,659,344,100,904,202,209,200,949,
018,400,123,808,841,044,962,804,598,827,777,505,028,528,352,228,410,402,326,
680,853,610,064,237,437,803,144,351,453,550,834,665,115,605,326,772,476,609,
893,464,530,945,908,669,049,314,755,966,157,252,224,392,188,599,567,149,047,
293,599,984,151,271,117,823,244,002,372,752,762,042,192,630,117,415,523,855,
403,021,811,823,537,853,701,207,305,890,116,257,961,933,899,120,461,011,275,
731,471,592,509,829,795,988,360,302,530,517,723,648,465,645,181,736,943,629,
947,316,434,448,676,040,697,613,002,905,933,795,299,239,539,681,727,995,222,
869,643,186,382,434,185,548,313,944,192,267,720,422,753,624,762,089,175,660,
273,608,717,899,886,101,457,718,445,805,496,590,321,279,046,668,350,168,487,
936,522,879,298,469,522,239,324,739,072,160,811,273,804,853,658,170,630,484,
071,357,081,453,583,217,781,268,612,001,652,772,510,545,714,484,222,366,027,
139,233,138,469,978,508,825,230,513,663,443,903,685,945,476,123,788,574,114,
437,264,719,589,770,659,320,129,638,250,848,869,055,790,771,077,716,160,507,
933,049,732,936,061,671,821,522,346,334,067,590,467,982,549,348,164,150,648,
352,912,451,231,619,395,247,630,337,323,834,009,029,220,953,264,654,687,225,
070,410,505,509,957,200,963,158,871,607,048,995,983,055,009,374,711,327,905,
875,859,513,032,212,265,793,257,881,599,647,447,241,670,142,590,333,756,635,
422,210,247,740,291,075,587,972,953,521,390,326,581,118,618,703,136,527,710,
545,452,988,954,374,950,074,731,733,134,850,667,139,648,338,899,581,282,532,
918,275,640,045,747,193,165,540,380,652,314,201,022,643,488,278,115,802,289,
826,744,358,587,356,779,292,390,383,997,704,983,804,315,042,187,523,474,164,
876,860,396,479,079,517,881,056,865,570,375,299,826,306,903,927,289,840,363,
885,909,113,422,092,080,704,097,617,297,539,972,435,927,984,743,384,832,437,
756,769,825,911,941,719,546,722,852,474,383,922,186,597,795,982,010,269,613,
312,360,419,732,847,758,019,654,981,580,508,839,476,756,463,009,840,219,870,
954,691,428,510,775,534,168,925,274,597,846,947,280,845,445,690,966,540,662,
229,868,927,723,509,337,090,600,677,689,347,786,820,926,777,986,012,383,729,
907,014,134,832,744,000,887,259,647,733,972,972,313,506,604,567,941,001,170,
381,444,521,760,608,922,361,390,998,367,915,364,405,346,183,433,156,040,195,
025,621,077,981,270,708,864,027,068,646,568,128,301,348,267,652,216,795,797,
693,435,918,567,521,800,049,571,852,406,727,242,931,097,985,195,616,913,907,
524,056,790,218,590,959,925,544,738,203,065,729,152,958,575,002,887,917,703,
275,925,217,427,419,178,665,937,191,691,809,982,183,862,478,419,381,042,276,
014,402,744,365,263,681,089,253,569,990,788,440,526,902,100,625,898,926,419,
077,978,168,474,870,871,747,763,764,686,626,551,100,788,712,676,610,667,270,
141,664,134,080,015,500,226,724,090,316,844,658,760,126,113,077,311,823,115,
013,682,864,797,622,187,479,696,073,271,532,275,942,237,243,372,321,096,042,
905,369,519,348,164,463,986,462,416,809,732,226,817,028,426,556,846,021,091,
531,320,611,795,448,338,145,164,108,722,993,093,044,765,800,072,070,074,874,
348,186,074,926,453,067,294,210,020,974,149,140,173,729,670,141,807,747,298,
501,652,464,041,464,661,566,439,743,964,676,062,746,910,188,179,628,890,531,
026,771,628,027,400,966,030,658,928,393,918,955,366,053,410,875,313,078,654,
080,764,270,267,003,952,704,222,649,515,505,634,236,204,987,211,141,317,359,
982,243,371,924,626,924,835,127,282,372,051,471,967,586,125,206,161,621,517,
019,838,868,497,528,120,202,309,774,302,410,552,046,881,115,324,526,336,776,
018,426,704,956,115,782,013,349,242,152,890,829,140,643,834,223,558,809,070,
774,151,898,151,536,426,624,560,044,517,685,461,628,058,196,110,383,618,658,
273,324,107,852,396,598,915,783,230,496,460,842,846,852,153,812,384,409,378,
802,239,638,191,407,908,167,147,566,735,576,277,735,385,677,953,841,079,709,
007,840,915,870,241,391,893,664,059,621,264,707,310,198,248,932,383,796,079,
005,663,521,860,983,667,597,798,831,772,338,225,787,682,253,967,857,425,414,
113,651,156,236,503,844,185,955,798,901,969,458,519,243,059,963,186,833,366,
065,526,345,107,599,388,538,153,123,138,348,837,843,595,529,485,095,521,315,
205,197,236,142,258,847,645,590,374,224,104,644,254,128,879,744,748,318,902,
997,454,591,339,720,592,156,851,948,476,836,350,891,401,226,894,676,160,788,
203,897,468,028,623,737,000,035,299,246,627,890,940,024,267,814,432,183,335,
494,303,937,957,359,483,158,063,324,747,201,204,237,956,139,969,557,318,442,
484,340,935,097,554,986,555,480,604,909,326,761,635,198,790,574,859,971,435,
095,364,472,671,619,595,250,486,261,522,423,223,573,151,432,346,073,255,028,
799,188,353,302,012,976,730,794,806,338,691,072,608,282,121,872,527,050,260,
720,142,573,427,843,725,258,410,988,103,189,146,511,637,651,678,194,988,498,
861,770,061,571,604,689,025,652,474,592,833,003,173,895,832,157,109,231,025,
996,854,765,249,310,577,174,069,150,576,966,240,729,226,181,016,839,272,738,
478,288,729,133,475,870,631,208,409,640,607,515,431,168,063,930,292,157,967,
060,818,087,235,562,761,688,872,875,771,262,933,946,451,314,552,809,442,445,
594,025,909,298,116,757,552,180,108,564,635,737,475,575,617,098,212,487,566,
889,271,190,096,872,251,025,058,739,265,420,047,452,444,282,761,847,046,907,
405,512,406,598,504,531,593,179,258,288,642,736,219,438,851,277,010,743,724,
886,427,411,003,706,842,983,415,357,865,348,839,172,537,155,970,850,481,627,
186,807,624,172,129,696,959,341,738,387,952,416,926,018,205,250,885,395,917,
334,833,030,829,723,969,057,820,887,920,653,011,330,329,676,143,470,234,779,
485,844,765,422,224,069,967,649,347,090,498,426,287,865,509,990,244,944,470,
375,857,489,221,539,394,119,131,399,317,218,942,647,788,125,486,764,349,939,
739,800,849,210,359,942,247,312,230,719,728,961,817,969,326,670,694,377,181,
172,482,445,708,983,271,599,319,285,516,573,923,834,526,788,237,442,547,846,
947,383,791,878,168,759,719,634,802,225,066,992,843,405,469,050,653,058,354,
211,510,676,973,880,272,236,219,643,015,570,932,006,193,818,903,109,084,709,
515,326,342,967,033,711,073,136,980,703,723,434,553,600,796,704,526,293,375,
824,650,267,727,177,424,814,831,907,714,093,397,530,345,041,555,548,143,398,
064,730,138,336,719,399,007,442,211,687,784,878,208,237,893,451,384,728,150,
118,396,229,770,091,684,233,856,725,842,337,695,540,438,673,925,385,703,791,
046,286,592,458,296,984,587,386,070,764,616,571,731,098,036,738,091,678,139,
080,919,374,136,294,704,871,943,730,474,904,251,481,794,441,035,533,473,753,
286,173,064,043,363,268,223,605,481,021,556,798,721,170,401,465,367,214,715,
332,851,564,810,288,148,577,289,667,585,862,419,860,893,101,543,450,135,665,
748,177,654,138,022,186,951,820,074,747,360,205,884,269,373,709,121,233,009,
434,271,633,264,581,551,214,981,020,717,903,194,585,070,542,243,298,712,385,
847,531,980,566,848,648,558,109,309,059,483,337,806,210,708,103,268,611,272,
502,045,586,298,174,684,340,900,410,028,891,522,450,155,456,103,181,703,964,
889,916,244,441,483,124,899,459,831,820,933,746,140,264,299,460,480,020,750,
484,143,285,269,800,230,526,401,448,443,829,240,699,844,911,440,869,143,124,
933,503,366,083,602,720,289,140,790,803,630,824,085,904,679,357,222,509,916,
655,979,091,104,564,591,600,140,263,413,189,869,029,549,420,751,727,914,100,
013,814,859,334,095,909,916,538,820,747,552,488,088,309,267,877,969,248,639,
757,181,313,804,445,130,466,190,212,761,406,409,021,477,984,586,994,288,112,
507,336,553,552,239,578,211,343,223,056,319,422,434,666,476,845,142,119,954,
960,316,219,668,250,823,979,945,350,045,249,661,660,581,949,663,413,826,392,
900,884,280,401,056,635,406,106,069,596,591,109,757,381,847,565,292,074,589,
167,799,289,236,761,610,243,645,527,105,320,160,990,860,046,563,980,073,250,
768,505,166,645,216,656,566,934,569,225,638,901,383,464,465,433,797,231,513,
369,005,492,659,743,660,840,907,140,691,852,073,223,396,673,826,117,436,304,
632,999,255,396,372,388,996,534,417,875,010,142,457,350,177,627,405,982,088,
174,146,688,749,431,385,938,745,293,172,121,633,161,828,573,641,987,277,054,
253,905,229,967,996,270,504,811,424,878,634,600,583,298,900,434,053,281,348,
978,157,010,071,806,973,913,654,153,333,621,744,515,862,361,697,995,737,406,
518,422,557,357,236,613,251,266,676,165,794,516,491,673,788,530,545,784,684,
026,808,849,453,940,120,530,261,374,222,481,158,509,788,596,880,031,839,655,
398,328,103,631,549,836,635,101,894,778,319,940,755,615,248,135,557,607,703,
446,914,493,081,477,950,382,563,912,296,427,703,864,588,767,497,087,626,841,
765,802,423,200,714,202,224,061,354,319,784,895,286,521,810,551,300,283,856,
444,288,535,781,127,652,235,492,800,448,626,423,237,148,454,309,387,318,899,
090,349,301,462,113,830,608,049,731,684,541,938,538,479,996,995,905,713,070,
861,380,060,054,501,415,829,424,607,469,803,662,260,891,295,849,302,594,752,
057,729,227,545,098,735,960,345,552,670,935,781,861,238,871,396,071,181,203,
333,146,186,566,734,779,550,218,748,499,324,313,666,508,477,237,567,926,070,
574,096,019,030,518,077,105,398,278,040,679,924,425,854,479,074,314,369,908,
818,593,632,712,504,709,931,898,037,473,981,281,037,569,522,950,523,178,068,
621,942,101,463,577,453,040,302,277,841,875,219,883,466,632,738,343,256,212,
642,018,897,639,886,648,387,205,395,832,241,199,006,279,135,459,037,765,011,
518,913,531,933,722,030,514,749,288,995,595,417,092,070,533,811,677,538,102,
581,827,442,923,773,227,505,314,481,347,063,444,941,395,488,601,555,423,870,
651,834,464,096,249,655,099,166,234,616,304,325,331,746,743,324,785,048,476,
116,869,895,541,065,040,699,136,730,240,066,488,825,574,942,396,043,114,947,
024,257,495,578,844,769,724,443,174,016,967,903,965,587,633,472,249,101,515,
242,383,134,789,680,867,903,726,952,225,982,752,173,391,762,975,879,970,553,
040,105,588,062,372,431,205,026,506,380,515,442,775,527,878,427,414,008,485,
731,906,035,544,314,791,476,216,599,303,928,777,105,562,804,254,251,890,747,
695,042,017,100,356,458,475,363,717,079,144,270,503,473,022,641,932,778,508,
235,143,951,543,884,407,172,870,246,949,951,064,386,475,002,748,190,519,730,
581,530,042,777,772,434,292,592,397,967,141,022,478,248,918,879,418,766,353,
283,113,327,376,145,114,672,265,394,289,075,971,633,015,752,688,626,966,175,
905,324,187,094,651,284,647,884,024,099,166,265,743,884,498,099,313,228,398,
518,798,357,310,493,672,273,683,532,997,104,388,937,006,687,533,254,744,709,
928,349,580,460,530,919,970,143,780,236,414,783,928,872,454,716,419,537,161,
546,675,953,506,017,418,147,337,926,798,882,899,039,553,520,020,121,189,968,
555,184,109,471,932,176,454,364,888,905,205,095,321,873,957,402,871,050,722,
981,712,962,757,431,234,277,199,879,007,028,106,447,185,549,032,412,328,566,
580,016,906,901,051,075,083,730,941,911,384,342,337,066,002,178,054,979,428,
633,676,905,144,509,996,999,837,480,770,155,040,689,213,460,875,160,600,274,
111,115,243,311,833,991,336,327,823,313,064,618,783,593,905,636,109,484,360,
325,203,985,386,927,479,241,737,983,268,211,906,427,572,350,217,398,740,708,
823,297,152,859,439,940,298,501,439,372,924,002,049,012,875,140,630,587,543,
869,052,746,019,964,155,577,993,854,872,917,008,816,252,202,610,964,244,530,
676,023,478,750,989,941,305,670,309,049,972,706,523,603,057,143,432,594,101,
142,423,278,621,670,784,128,463,941,422,049,554,534,538,112,348,056,785,772,
596,384,310,378,059,603,102,976,146,009,908,705,052,199,033,471,642,884,564,
827,881,787,218,560,875,712,543,958,991,880,138,246,334,064,807,935,734,792,
264,577,762,540,368,709,596,734,828,457,186,519,383,101,682,463,751,978,867,
509,662,360,158,191,379,606,054,881,819,441,928,996,658,856,280,725,476,091,
602,403,953,801,440,951,786,834,987,256,297,748,558,525,249,877,022,249,524,
825,157,313,395,422,678,346,284,352,290,616,273,880,413,772,769,414,212,587,
784,360,409,386,591,894,569,044,192,455,967,410,363,501,965,236,278,675,261,
344,682,711,215,357,168,690,045,532,158,866,500,811,096,555,150,929,553,767,
507,128,155,230,411,325,102,510,664,014,648,003,460,335,284,352,578,008,992,
754,261,572,481,529,535,722,414,104,726,849,000,132,382,904,503,459,006,558,
780,560,872,187,395,857,652,226,262,270,802,597,534,943,944,466,939,480,849,
181,960,511,942,824,823,040,941,201,249,007,993,532,278,071,433,160,189,326,
652,497,637,121,633,258,488,753,733,746,057,053,498,855,964,525,500,903,625,
878,019,997,595,428,429,978,116,869,028,965,308,124,576,627,917,806,220,680,
049,941,971,449,050,700,245,740,880,509,303,633,460,643,625,446,435,963,252,
932,581,415,864,076,233,582,685,039,781,202,089,041,329,306,818,284,803,034,
721,705,722,221,887,019,459,487,607,441,207,679,527,992,165,727,721,717,729,
345,129,105,806,075,772,475,929,029,836,330,078,643,056,824,491,576,555,733,
105,688,662,716,017,825,388,121,665,370,706,595,873,140,553,175,103,300,407,
210,936,586,514,183,163,690,454,976,510,208,487,389,152,894,381,679,828,845,
036,589,520,814,392,267,018,928,950,542,802,908,737,637,981,303,824,444,830,
058,604,913,599,760,608,223,870,257,164,538,359,009,958,163,073,856,776,914,
872,747,863,779,805,250,427,040,257,692,896,176,803,764,073,154,202,434,666,
580,773,692,677,931,811,575,526,379,357,341,550,705,500,795,942,112,840,187,
431,338,980,927,795,955,466,665,846,808,070,678,942,901,684,679,570,454,613,
175,581,230,013,736,646,542,411,451,976,504,005,572,206,491,098,014,804,663,
412,675,062,510,260,715,440,359,875,248,801,946,140,101,519,148,206,543,933,
719,163,545,065,985,370,629,942,090,429,225,970,830,862,684,600,843,753,470,
765,615,212,850,114,318,799,413,073,363,756,562,762,823,831,345,288,870,043,
092,566,010,436,945,369,682,063,830,470,011,822,966,799,240,696,903,088,148,
932,044,587,769,270,439,458,446,673,163,147,095,802,340,401,085,114,583,282,
359,003,767,818,380,368,546,834,392,587,725,281,394,085,248,344,106,376,776,
606,436,218,175,675,908,161,845,048,581,281,876,960,589,733,405,833,269,523,
041,701,473,237,560,242,042,950,165,570,671,948,153,409,353,037,920,333,663,
453,247,643,691,153,046,176,446,627,687,949,171,157,421,032,560,101,051,692,
584,686,411,860,710,808,606,260,647,283,111,753,550,850,741,612,723,125,096,
347,653,161,683,791,442,540,657,554,580,896,956,570,777,182,551,156,174,098,
545,036,689,658,507,143,381,609,257,951,163,503,181,435,652,299,343,027,484,
622,480,934,946,719,917,969,271,121,520,364,478,183,404,031,503,676,903,255,
082,378,220,782,167,481,448,457,098,697,226,921,453,833,287,720,562,354,234,
325,821,330,277,163,211,511,820,242,752,758,267,996,151,498,590,566,318,853,
917,406,864,968,947,670,352,204,587,025,655,596,388,658,353,578,878,623,592,
625,306,939,944,271,808,997,148,796,055,913,006,379,029,897,694,697,561,149,
283,565,600,994,891,087,115,021,517,816,955,792,173,679,344,833,833,550,326,
930,939,225,819,191,297,566,158,374,226,523,369,856,528,399,073,977,364,594,
875,687,365,760,992,473,748,982,834,463,339,585,985,626,172,555,337,853,548,
755,057,784,602,524,416,565,480,212,425,490,608,126,997,692,531,394,036,526,
854,513,500,692,277,544,765,582,448,647,196,639,913,842,195,227,960,736,895,
507,935,378,176,810,157,605,919,411,307,153,155,054,876,462,783,166,818,431,
112,897,577,024,773,797,660,304,328,775,060,006,523,100,635,069,042,827,350,
301,603,286,448,529,925,172,820,540,046,344,147,812,968,489,723,304,580,602,
604,496,563,009,348,875,520,279,850,926,076,461,472,121,088,213,037,639,386,
953,247,682,684,695,613,176,090,779,140,415,931,719,326,303,648,257,211,191,
412,233,549,202,765,845,116,041,441,457,115,594,282,895,768,964,753,148,310,
525,384,152,669,706,880,205,443,687,937,578,193,524,782,283,704,945,647,254,
911,952,220,179,559,134,731,687,079,745,264,339,311,073,894,778,500,846,667,
318,643,633,855,233,413,103,245,948,888,465,271,729,770,071,914,367,289,287,
196,890,563,939,583,243,146,172,353,939,167,351,973,081,292,619,267,329,344,
656,064,239,204,655,515,859,535,747,567,153,140,635,154,920,571,012,775,485,
932,548,928,726,642,318,689,279,886,008,412,140,870,536,467,175,840,161,936,
623,576,604,431,944,889,044,397,138,227,161,106,757,050,087,422,768,485,368,
495,532,021,865,702,383,200,183,615,366,198,431,243,735,620,940,151,820,351,
450,845,476,282,145,381,709,272,920,043,009,967,057,886,000,100,256,398,601,
736,362,601,612,011,498,559,667,114,902,986,105,480,236,516,390,105,349,981,
487,641,777,499,869,703,703,838,235,047,571,796,993,302,360,919,666,151,422,
327,490,016,820,662,515,729,128,011,769,898,113,604,882,342,759,836,011,784,
184,558,182,072,344,590,127,353,829,549,633,515,700,734,804,543,360,748,342,
541,787,678,454,380,171,281,127,713,816,427,884,624,398,845,025,249,214,738,
888,162,693,809,139,874,442,115,153,883,650,695,278,132,201,447,807,917,645,
338,179,454,660,207,674,983,742,170,119,334,690,728,073,959,928,764,833,767,
982,862,953,542,032,228,499,927,454,874,549,523,721,429,910,316,235,583,093,
069,607,445,364,487,867,456,271,721,473,142,786,967,725,143,538,748,899,855,
165,341,413,647,716,146,341,165,516,644,375,824,277,624,919,995,093,037,068,
596,027,892,203,869,885,434,578,556,692,401,402,980,803,135,256,052,341,747,
582,578,247,756,310,878,390,477,523,673,057,532,903,248,867,214,184,800,184,
283,872,718,398,029,698,483,944,279,282,577,216,576,251,550,555,046,906,017,
691,790,394,913,314,334,793,833,539,728,052,419,473,310,335,442,594,440,249,
611,727,867,834,391,762,934,394,802,089,654,313,832,091,951,809,813,302,301,
595,219,070,619,392,385,449,181,935,118,513,658,313,818,147,772,279,953,940,
031,928,139,724,502,422,871,668,550,126,477,763,471,348,266,284,155,115,105,
764,642,355,867,859,450,056,723,221,119,755,819,987,891,591,736,822,702,595,
933,486,426,482,491,819,632,523,980,308,439,450,985,998,438,387,848,404,196,
936,945,294,413,834,513,971,068,380,605,789,152,808,487,398,028,362,003,223,
520,606,634,766,906,191,807,928,542,609,275,572,489,037,883,819,179,691,661,
153,698,984,221,169,789,559,885,864,683,706,813,428,787,060,588,841,371,590,
853,488,148,380,245,315,417,027,559,842,969,246,855,056,671,214,341,286,032,
109,670,413,922,497,430,927,562,360,970,692,099,511,795,791,771,402,386,258,
765,371,158,823,430,471,429,555,670,907,468,022,484,387,402,560,626,947,451,
437,041,981,620,633,559,038,536,181,805,091,777,031,105,154,627,764,590,048,
501,425,407,906,683,263,657,166,536,262,277,753,787,033,624,633,187,229,014,
112,767,991,585,478,015,152,538,797,561,399,351,733,642,222,474,098,546,746,
717,497,413,817,653,734,104,134,990,464,228,717,436,948,937,179,251,517,474,
308,513,444,812,283,587,478,508,927,335,056,874,658,322,730,465,593,123,316,
446,974,352,931,774,907,892,921,452,775,459,550,934,024,585,631,745,497,039,
619,412,755,710,349,608,884,319,734,320,933,262,962,148,801,869,961,540,847,
434,996,911,883,180,122,486,210,431,637,060,367,093,333,082,493,500,602,033,
076,112,923,684,132,650,804,985,794,371,373,742,169,216,000,834,308,136,060,
025,581,563,045,906,490,266,702,789,224,016,390,206,615,274,205,551,901,216,
430,959,087,402,895,769,597,039,026,350,853,192,438,718,759,998,543,491,081,
450,232,591,552,491,829,301,818,172,833,997,627,260,484,303,084,525,728,035,
935,637,999,122,372,507,789,385,049,075,817,559,306,174,495,574,239,218,365,
218,536,523,065,332,645,548,160,809,383,138,668,515,504,008,923,691,431,363,
856,563,611,102,979,741,131,095,165,658,036,459,059,961,857,780,672,163,925,
935,303,074,605,222,738,115,500,437,087,619,171,041,844,128,258,053,284,834,
255,158,350,240,919,822,170,218,602,738,586,317,875,652,316,124,288,989,470,
014,839,348,633,080,383,436,561,933,195,795,071,627,307,115,513,078,925,716,
890,588,266,523,355,772,336,295,143,892,811,050,865,925,685,398,452,883,306,
180,956,347,551,025,729,243,420,327,116,627,756,417,984,258,400,259,971,381,
822,813,127,513,891,162,795,125,615,573,611,221,233,936,377,069,794,800,996,
297,123,025,340,100,502,443,602,718,310,429,706,256,936,155,054,229,310,782,
373,617,867,135,192,106,561,795,973,962,141,381,295,963,693,283,289,141,460,
179,986,284,893,209,435,218,273,968,886,062,938,622,026,720,489,267,024,321,
478,963,005,662,831,660,271,690,568,184,385,191,204,607,592,245,813,127,930,
420,044,118,581,913,130,916,447,848,253,673,577,027,935,409,326,417,296,874,
750,153,570,260,726,473,675,558,241,795,183,250,267,841,932,608,204,550,465,
931,960,243,360,021,789,577,617,223,800,240,673,607,629,387,739,458,183,727,
942,543,966,111,629,326,307,605,740,974,705,431,823,786,043,102,315,827,645,
406,154,682,749,536,596,089,558,003,648,137,797,285,393,824,495,420,074,878,
462,301,967,596,232,961,463,186,173,809,352,447,418,918,010,332,063,347,926,
651,258,557,504,301,527,511,298,256,976,222,590,579,455,496,984,570,588,727,
493,927,815,182,441,735,024,995,969,632,887,950,782,870,473,137,086,227,777,
288,822,341,756,384,097,363,110,794,519,832,002,773,803,304,846,324,010,909,
389,797,205,132,560,767,279,128,447,993,410,464,609,519,396,191,300,280,607,
547,080,251,448,840,179,680,972,278,739,495,553,694,460,654,648,934,650,789,
355,735,387,523,831,413,563,432,891,230,208,556,173,069,259,679,644,832,153,
663,134,126,041,449,972,566,002,860,288,152,449,481,425,869,924,019,042,501,
506,279,698,198,464,070,189,158,462,773,551,904,375,493,346,399,874,748,529,
806,656,829,117,383,107,482,192,105,814,672,204,287,848,118,272,768,896,806,
283,527,383,786,632,060,836,721,072,060,279,320,287,439,580,036,020,363,756,
108,377,705,024,959,474,420,756,423,436,475,786,940,315,731,983,458,866,477,
389,547,976,514,931,957,357,808,701,917,243,203,463,948,509,244,818,051,901,
498,988,245,367,405,826,027,751,296,506,666,178,741,877,763,667,071,786,082,
596,000,602,990,476,460,644,860,763,722,864,104,321,947,244,845,923,050,516,
749,055,971,312,745,590,851,239,992,426,313,021,247,635,200,829,235,347,325,
220,725,405,390,850,723,638,963,833,783,496,285,711,496,152,218,374,545,267,
458,713,092,615,395,804,051,948,579,900,151,141,303,526,727,234,817,920,075,
810,525,996,664,628,216,892,570,236,740,027,197,606,131,366,299,947,731,857,
301,637,432,978,799,089,285,211,892,324,680,952,760,136,617,090,087,619,700,
869,902,644,961,050,464,715,362,838,900,966,653,560,397,445,849,593,228,939,
807,516,910,863,952,107,459,088,087,363,316,553,211,204,095,864,022,216,642,
777,022,008,325,110,346,563,256,500,219,037,446,351,174,134,865,615,992,631,
859,440,635,876,619,389,303,391,975,006,720,499,735,712,174,136,009,428,333,
844,599,682,383,783,509,859,468,566,654,881,866,275,260,047,183,698,650,320,
438,497,351,056,019,836,120,196,998,798,565,892,901,116,219,281,913,112,180,
548,847,416,175,629,294,196,359,824,506,004,961,101,001,973,975,382,692,397,
192,876,938,563,889,010,400,774,069,680,344,204,578,039,371,690,942,752,466,
411,906,868,837,989,307,425,489,352,965,086,127,660,050,755,077,341,330,190,
131,420,220,436,974,225,006,525,727,575,326,062,900,439,885,126,705,664,501,
227,368,660,456,042,355,793,565,862,732,688,023,376,953,931,078,460,617,474,
971,869,878,556,639,970,072,346,024,862,525,271,032,460,569,121,566,678,352,
755,008,180,164,424,498,312,710,992,641,555,391,787,552,037,941,857,588,207,
008,150,573,037,919,765,624,845,032,077,832,396,236,154,164,456,262,057,325,
635,719,515,408,116,573,067,004,851,258,517,011,875,312,003,643,553,482,691,
387,525,281,509,897,699,617,114,903,153,396,060,273,599,810,771,082,511,515,
864,820,976,293,950,228,402,104,395,386,355,947,694,637,358,361,150,256,183,
763,320,673,608,519,338,259,460,715,733,793,704,670,006,644,380,219,004,309,
966,695,923,620,909,283,991,008,555,708,902,568,995,301,919,620,987,080,532,
133,690,099,946,534,537,927,542,087,141,597,926,568,830,729,014,202,500,367,
839,013,066,357,476,564,061,173,604,565,692,068,639,078,340,102,816,407,433,
344,543,478,132,801,642,491,993,268,925,815,719,156,748,644,358,207,287,469,
323,549,123,020,639,922,792,109,277,856,271,820,820,756,667,861,943,381,099,
667,444,154,967,203,147,625,857,104,553,197,115,489,022,613,695,579,880,520,
579,493,256,114,320,766,858,801,437,705,670,820,900,324,448,733,098,118,099,
186,013,318,080,479,894,318,311,215,170,090,171,757,370,392,209,571,866,080,
517,288,654,191,591,442,892,648,092,482,929,072,383,346,854,485,514,144,822,
237,935,128,353,201,560,390,984,470,507,285,270,992,947,984,935,471,603,683,
851,844,832,118,766,524,722,292,557,754,009,697,706,617,070,856,632,320,629,
792,367,336,614,102,850,831,488,952,666,366,055,953,160,302,201,897,931,033,
181,519,049,927,824,803,648,567,696,612,312,172,003,841,053,204,157,201,751,
774,973,852,003,414,446,927,953,034,269,521,369,521,623,185,730,126,660,323,
640,660,886,965,957,562,308,398,402,178,925,933,765,386,626,300,045,901,392,
604,909,125,983,843,757,655,225,490,772,990,362,094,827,547,641,168,382,928,
550,124,769,646,092,947,965,411,756,049,064,659,032,959,906,631,123,486,729,
742,122,693,349,977,887,942,382,643,252,820,143,030,715,366,079,177,657,965,
983,768,649,505,664,552,470,310,375,694,797,272,701,817,135,419,333,545,143,
022,722,155,187,461,826,856,631,785,646,206,927,656,354,697,208,535,234,648,
760,825,519,484,873,267,787,161,311,008,929,844,564,385,714,236,810,218,087,
295,512,184,813,058,036,889,332,764,728,417,139,091,336,239,665,959,577,300,
399,053,165,744,932,388,253,282,229,539,985,161,517,545,514,729,964,033,305,
635,084,792,219,097,142,790,960,059,216,810,810,459,883,960,037,607,774,494,
301,679,022,120,284,945,499,131,774,583,761,253,165,563,781,256,319,948,539,
044,134,942,686,674,088,058,714,435,642,136,090,618,956,600,046,445,306,435,
472,909,284,960,393,139,716,716,331,968,169,413,419,098,423,518,175,806,656,
402,535,907,586,115,078,717,481,891,154,237,377,413,444,128,094,616,897,666,
201,012,198,443,301,505,974,646,562,215,829,923,820,995,170,697,798,737,339,
144,552,679,888,347,697,371,246,777,913,480,168,627,526,167,213,706,819,436,
355,906,381,902,621,455,225,175,005,081,204,330,564,340,739,877,315,296,006,
327,215,624,788,838,662,130,648,307,426,191,549,355,246,441,834,002,814,552,
263,792,689,165,896,505,290,855,887,539,428,509,884,320,103,748,828,276,668,
654,111,192,136,533,336,086,176,263,171,616,674,732,917,416,194,188,051,741,
845,625,722,323,702,390,691,174,227,601,656,318,799,679,054,935,018,701,394,
112,937,029,185,475,530,573,246,025,834,731,100,938,205,246,717,691,395,593,
011,957,635,726,791,588,276,453,067,435,211,863,633,213,151,352,776,584,803,
690,795,674,142,258,630,820,229,471,433,968,632,932,911,205,940,570,480,292,
495,387,887,610,868,907,160,644,906,625,638,272,139,465,390,970,616,486,866,
038,593,998,039,394,218,731,804,893,055,464,782,594,083,786,698,445,246,158,
701,165,376,900,646,439,111,202,699,698,968,509,322,710,726,640,914,055,795,
503,346,028,633,642,374,357,942,831,700,500,839,351,390,704,503,937,665,063,
414,790,855,450,904,063,615,990,984,662,665,733,884,007,071,029,083,238,396,
911,356,459,526,304,673,880,155,250,049,285,062,780,872,784,429,281,155,685,
232,266,214,230,297,160,938,276,766,819,853,596,826,431,142,723,210,783,836,
962,303,360,811,081,426,340,888,533,323,072,915,132,426,532,561,838,493,251,
819,888,099,365,381,931,481,254,579,408,750,656,497,624,170,548,422,269,328,
163,391,099,893,074,265,228,176,970,699,323,223,835,323,830,817,537,283,774,
141,849,615,286,911,955,576,082,332,376,962,019,874,532,657,816,444,683,302,
955,149,175,190,144,996,376,533,462,262,198,031,437,409,447,914,548,111,515,
393,270,719,430,618,794,863,452,066,209,930,631,938,995,413,203,990,736,216,
800,308,883,672,466,790,034,597,457,502,433,183,931,121,708,967,987,558,480,
285,562,743,560,248,519,815,324,137,630,622,069,812,248,849,355,679,905,634,
270,846,052,451,054,338,859,566,378,244,770,591,055,051,338,103,708,023,409,
997,720,041,246,200,831,333,646,958,672,714,119,060,294,367,798,189,582,207,
742,189,313,522,075,159,387,658,588,253,625,039,165,465,969,172,386,471,729,
370,277,404,223,034,890,184,650,961,262,779,658,873,862,079,381,826,131,692,
238,247,885,726,870,872,728,677,718,028,059,925,401,809,094,813,726,751,113,
832,174,713,746,461,139,081,392,510,635,139,015,138,512,982,413,423,074,243,
807,693,113,873,694,792,451,419,752,310,709,639,225,156,478,144,275,741,679,
906,569,223,982,171,973,840,452,502,289,661,558,112,593,863,256,662,576,666,
297,794,931,856,258,209,474,106,237,051,244,757,140,275,094,974,957,017,561,
301,894,003,880,958,167,305,039,488,074,210,048,624,529,064,901,392,808,709,
288,575,107,729,728,756,164,302,572,164,170,755,271,339,048,932,317,579,066,
610,402,917,137,228,654,156,719,121,720,311,621,380,641,966,452,087,054,046,
118,378,569,299,718,638,568,025,646,208,632,908,634,150,151,250,561,811,996,
637,326,046,871,974,402,129,421,521,088,411,052,085,995,911,173,924,472,275,
796,295,410,547,833,705,496,427,290,410,484,761,879,497,437,830,803,189,630,
102,174,348,060,766,022,556,486,370,161,938,513,765,166,234,896,585,399,146,
021,240,138,898,176,862,516,899,346,066,228,424,545,764,697,254,498,909,583,
826,371,331,511,859,003,064,695,209,192,897,420,415,827,516,355,170,562,612,
488,257,214,751,570,273,217,495,645,327,758,067,349,167,805,386,099,537,709,
632,995,666,454,448,463,450,729,841,545,457,771,091,267,871,974,445,493,057,
865,516,888,100,210,420,917,692,115,625,318,650,426,982,214,122,298,031,223,
708,713,282,906,420,928,224,990,496,718,633,123,451,217,434,823,119,513,715,
678,636,690,015,021,425,752,916,725,109,013,810,487,426,068,889,567,900,366,
464,064,883,631,270,826,814,608,120,564,952,548,526,264,966,659,505,117,458,
627,852,019,089,118,474,399,844,154,906,543,118,791,925,361,316,409,459,705,
990,765,800,841,992,640,575,417,546,161,266,930,908,064,374,099,549,794,480,
454,744,953,025,539,785,305,532,734,043,467,767,082,355,446,701,016,057,331,
828,910,481,313,825,900,846,389,776,640,564,116,947,622,014,888,047,188,727,
652,502,117,200,094,790,242,527,222,060,594,306,066,695,822,055,044,261,565,
946,114,845,493,125,260,484,063,157,160,645,266,097,907,130,529,205,343,300,
269,699,292,963,664,656,625,913,666,079,383,958,421,742,571,284,283,531,596,
651,571,784,517,176,348,092,409,149,310,816,370,521,348,469,869,586,623,604,
552,955,697,976,332,801,481,375,014,804,028,276,406,152,087,842,157,819,870,
431,068,525,903,113,348,482,355,675,175,372,512,829,136,647,110,361,626,935,
816,052,581,678,907,942,633,884,610,229,480,430,906,260,443,985,403,587,619,
241,504,912,866,299,493,944,812,573,463,163,876,077,888,308,794,491,753,187,
625,786,293,872,498,434,184,631,649,161,751,601,941,770,024,712,860,722,430,
977,260,646,868,610,977,603,168,698,021,733,601,098,087,086,397,088,377,935,
455,993,622,911,823,691,792,066,116,508,794,123,860,435,482,315,667,983,922,
500,409,741,121,075,124,111,651,369,403,892,808,574,547,815,462,639,119,916,
430,508,556,985,657,939,368,749,658,723,314,914,704,315,581,159,376,248,430,
096,689,242,859,732,022,652,750,310,918,071,477,502,411,272,113,045,205,492,
435,086,663,853,724,442,388,719,242,411,390,799,737,111,223,580,227,359,621,
204,592,700,649,606,623,902,628,891,087,608,269,410,618,489,045,260,058,107,
416,044,551,877,543,642,047,938,080,584,650,868,483,048,546,709,674,152,963,
264,317,809,933,776,554,073,061,521,709,686,384,084,422,605,856,375,325,689,
462,445,605,652,730,414,263,033,713,902,761,707,304,629,141,957,448,858,129,
349,270,691,652,060,800,466,440,421,833,403,736,067,420,647,599,534,735,711,
731,910,075,504,551,419,424,992,211,453,401,188,121,305,851,310,918,964,156,
633,806,798,330,662,618,161,973,413,272,006,131,982,139,297,140,568,296,513,
653,936,245,189,613,784,934,118,337,324,114,323,046,046,043,369,171,307,128,
858,720,394,604,792,611,664,477,188,521,920,258,620,439,748,497,519,907,129,
442,454,658,653,081,084,097,271,009,552,506,301,833,072,511,127,897,874,176,
603,354,104,377,634,606,780,491,824,504,385,101,215,543,117,118,234,647,030,
190,015,839,545,020,598,339,137,655,927,691,835,146,962,205,965,305,613,134,
600,073,351,046,757,093,196,260,397,722,047,050,765,250,457,256,734,842,672,
491,842,267,251,300,752,550,912,982,717,224,889,168,063,150,722,118,894,037,
608,958,869,011,304,912,737,362,458,358,245,561,881,577,098,491,472,334,134,
031,829,996,500,678,745,912,548,457,318,844,750,757,288,042,312,203,704,324,
512,050,427,301,641,946,233,920,059,429,172,467,792,181,150,925,281,760,925,
868,961,604,786,179,574,524,557,808,516,567,659,625,072,323,910,264,719,369,
529,439,730,196,809,977,734,522,277,173,859,787,639,669,607,378,532,672,213,
046,000,654,312,262,382,114,195,326,747,234,967,319,580,235,437,937,697,075,
184,489,079,799,816,667,444,460,913,263,007,499,100,297,793,930,328,412,437,
533,906,169,399,203,166,219,973,868,660,460,797,175,657,386,174,688,604,554,
688,646,599,333,134,091,147,343,106,927,440,466,373,027,715,821,982,710,511,
630,663,431,184,319,009,797,822,865,040,253,127,665,789,995,197,809,231,167,
633,511,603,850,423,220,040,758,680,679,053,605,278,006,814,880,484,575,322,
935,963,161,481,477,677,125,458,962,074,060,664,636,342,943,567,400,975,587,
348,107,154,891,685,177,664,840,419,407,317,048,046,411,705,966,673,151,520,
500,010,409,766,495,946,299,911,006,931,636,485,218,596,208,777,139,766,606,
344,191,361,357,620,017,344,935,660,680,314,277,657,806,818,071,544,721,877,
760,276,223,007,907,265,940,346,464,392,070,755,435,708,706,178,147,718,831,
445,132,584,095,603,770,648,060,700,936,737,647,924,654,074,578,417,005,852,
149,383,567,849,084,051,638,207,267,184,373,914,459,294,963,315,712,452,191,
756,492,716,749,332,413,829,464,491,901,254,252,281,992,313,042,675,362,560,
895,424,729,499,015,830,782,227,671,697,408,192,613,450,042,585,142,880,378,
201,223,692,081,805,190,338,312,378,497,540,755,130,716,882,046,270,563,075,
887,949,286,010,748,422,130,744,702,043,514,655,497,217,976,351,415,204,258,
236,824,755,420,403,225,897,661,127,374,241,425,875,159,795,402,190,441,817,
353,286,247,387,526,920,044,772,812,484,150,294,626,034,237,236,703,468,650,
520,011,386,733,751,301,948,331,029,447,737,728,811,801,150,251,171,140,757,
674,850,194,562,029,454,787,214,666,527,283,245,217,470,107,657,435,666,314,
709,348,218,867,370,463,818,145,871,125,147,684,284,287,481,522,702,900,311,
856,751,190,213,953,779,446,272,349,199,202,937,708,079,071,542,178,537,260,
716,472,564,338,773,589,792,511,672,155,547,444,363,160,187,404,323,380,286,
916,242,927,874,906,873,729,482,905,590,975,190,425,747,254,200,479,504,026,
239,812,062,611,557,256,607,294,381,889,317,363,726,094,842,036,687,214,838,
496,101,123,978,699,884,540,334,966,146,751,247,892,934,212,826,626,201,050,
750,523,837,916,249,217,303,827,555,122,794,322,709,941,026,978,964,207,064,
442,215,926,458,085,772,919,400,135,075,693,272,152,443,634,105,027,458,898,
564,893,632,111,256,061,699,109,471,382,592,613,203,483,721,616,295,478,786,
782,265,564,910,166,260,901,187,192,092,098,859,254,067,704,905,999,958,199,
524,937,178,522,334,748,842,412,645,576,656,398,142,944,921,708,054,466,997,
890,277,159,533,562,822,688,655,891,209,636,677,722,140,661,512,032,167,925,
804,477,469,476,114,361,865,182,475,058,604,388,056,090,138,493,147,464,432,
160,676,374,524,717,691,220,751,446,331,373,394,488,325,318,961,636,075,002,
029,947,903,946,358,341,862,238,125,282,411,153,533,813,393,794,276,758,481,
252,521,738,281,763,670,763,815,118,162,812,834,885,848,522,704,190,168,060,
828,595,805,969,888,651,008,704,305,110,615,797,355,524,350,924,367,994,621,
197,852,746,337,377,279,509,506,616,778,677,984,841,539,830,077,327,047,143,
218,729,036,018,636,653,868,061,376,327,015,355,339,370,446,524,273,992,499,
599,632,725,991,634,836,578,910,649,647,697,772,291,840,204,705,810,668,986,
478,032,595,088,907,533,726,774,364,215,380,589,322,709,390,167,933,447,301,
379,395,532,701,664,355,847,012,486,623,346,515,547,669,653,510,185,478,693,
194,979,340,010,447,253,168,827,938,793,668,528,640,176,005,460,275,544,899,
685,122,159,933,401,077,535,551,989,495,639,636,700,276,728,925,880,369,778,
115,430,552,713,238,808,358,851,713,632,191,849,534,109,372,879,545,193,594,
070,453,894,125,593,867,047,659,306,824,704,365,905,019,994,119,344,645,356,
550,101,593,460,696,477,818,748,481,984,016,951,664,569,707,643,172,212,421,
526,753,709,237,056,631,648,723,466,017,273,953,732,201,125,805,693,008,869,
343,433,437,874,997,600,740,915,991,790,079,766,796,983,219,523,685,650,806,
801,509,812,132,066,226,538,897,435,051,312,504,398,920,293,221,941,063,538,
520,868,120,200,865,237,264,047,259,759,082,702,240,167,857,505,521,280,103,
717,278,602,796,315,777,226,402,538,072,951,328,232,520,019,970,442,653,783,
536,712,340,573,558,410,400,428,949,638,128,900,748,753,585,684,272,971,152,
726,271,166,633,554,083,352,820,596,268,820,172,674,917,469,526,713,047,217,
842,832,931,179,414,544,245,167,610,166,795,159,431,788,822,428,159,982,022,
449,481,430,347,491,730,138,000,851,731,448,526,454,266,231,273,179,452,964,
777,811,044,724,432,503,369,465,440,209,975,396,702,363,262,071,685,624,805,
472,147,273,465,322,366,099,758,356,736,807,297,461,857,000,437,694,575,360,
112,767,609,046,657,417,214,236,733,199,170,800,418,984,613,676,143,137,846,
113,587,788,925,601,827,841,432,589,273,663,067,036,910,126,621,541,830,817,
935,185,091,515,637,838,732,297,747,832,206,297,887,542,037,594,840,071,521,
242,980,444,943,223,908,485,246,379,424,835,645,179,712,404,542,832,008,384,
445,442,312,741,922,874,016,285,547,896,307,363,641,902,296,498,456,340,677,
062,306,218,121,398,270,013,381,695,427,271,631,238,466,018,329,460,375,668,
700,327,630,428,311,679,765,539,437,480,380,625,434,945,854,342,465,654,043,
218,947,142,878,422,638,490,602,786,021,649,907,549,401,872,330,437,874,900,
846,478,708,415,672,749,478,292,610,981,872,066,722,873,607,193,541,315,128,
239,107,828,911,251,162,438,238,632,871,876,990,003,730,778,634,767,942,247,
158,997,273,864,015,009,254,196,325,106,100,181,783,228,520,934,229,782,685,
525,056,375,289,391,341,269,900,446,021,266,532,733,752,753,612,813,479,941,
253,796,395,565,587,868,223,771,260,585,074,744,490,992,724,673,603,159,715,
184,960,104,997,544,173,290,833,389,291,195,039,126,482,389,733,348,912,795,
026,900,087,899,838,636,002,977,045,207,530,580,522,082,226,865,849,422,402,
656,244,950,457,060,378,305,005,804,520,454,648,127,419,105,876,819,717,470,
848,464,291,233,082,992,524,043,856,747,232,238,075,486,569,261,528,855,922,
573,551,585,063,610,801,574,920,895,348,256,429,622,008,232,909,607,737,135,
397,014,324,975,619,111,402,680,260,222,247,342,234,041,794,580,783,304,361,
304,822,372,188,661,005,546,622,615,368,233,232,942,958,888,001,013,449,124,
536,189,898,927,875,878,632,532,838,069,656,103,723,464,510,375,440,651,228,
888,476,810,000,913,439,037,334,132,198,332,914,383,943,661,356,973,255,248,
846,269,255,075,848,445,418,094,265,060,925,115,635,210,910,014,894,669,654,
806,673,808,225,276,669,702,977,517,645,096,756,261,388,437,630,527,569,440,
042,730,933,659,514,036,109,318,744,794,570,542,479,439,434,554,640,294,494,
627,265,723,532,514,976,618,045,850,777,348,187,156,738,573,231,444,477,775,
566,853,418,353,092,375,979,472,573,244,167,208,638,523,789,595,584,788,969,
412,411,899,496,030,569,464,666,640,126,997,624,148,250,574,634,104,535,244,
260,892,075,925,460,922,275,075,048,582,453,803,928,559,314,329,757,051,899,
776,334,242,420,278,373,135,091,421,247,253,138,649,054,896,406,000,707,290,
948,692,476,393,744,570,528,085,522,330,549,956,723,853,236,521,310,611,126,
741,108,198,650,589,660,090,924,218,484,624,650,495,267,807,662,218,380,351,
297,352,203,464,372,436,206,341,143,243,461,181,769,362,995,123,903,856,680,
208,592,798,918,370,850,397,839,880,334,544,276,856,376,792,178,718,521,277,
554,533,397,250,428,019,259,727,962,820,151,737,173,735,168,298,093,989,114,
475,131,695,156,549,855,228,996,697,487,717,255,592,322,369,913,608,612,802,
904,063,544,253,003,371,864,008,611,336,400,928,836,712,603,656,199,569,912,
111,801,353,176,656,485,794,904,671,332,292,167,470,400,681,595,327,527,276,
895,283,571,584,270,524,135,124,309,532,412,412,736,807,266,035,890,579,676,
605,469,471,474,042,625,748,194,144,649,663,621,212,897,971,597,239,541,351,
935,418,397,980,516,157,619,639,936,160,532,358,609,847,414,989,163,546,444,
257,593,539,986,255,318,688,505,588,659,509,145,330,419,952,097,734,932,404,
325,763,969,940,423,577,318,281,806,048,614,547,268,105,991,478,205,198,686,
791,478,036,645,237,501,705,117,627,902,227,327,359,361,171,209,355,310,974,
171,704,845,138,734,362,509,739,285,282,465,199,593,960,566,131,519,613,667,
374,656,355,909,243,048,107,671,481,342,443,556,370,228,454,047,456,070,603,
128,841,905,047,848,614,889,283,899,845,228,266,993,087,465,215,487,210,237,
324,063,696,153,037,448,624,948,122,568,158,838,917,755,880,743,654,153,261,
228,320,816,294,657,603,833,920,951,652,873,386,784,056,086,128,608,125,631,
092,064,697,861,997,880,275,992,999,419,316,919,385,041,712,062,824,256,520,
357,908,263,188,734,076,862,811,247,295,765,671,280,603,508,594,339,811,408,
686,415,419,701,415,814,631,690,220,216,115,531,247,919,854,371,402,848,333,
959,102,021,472,836,102,573,179,941,524,129,837,842,875,690,500,487,486,340,
065,393,903,184,877,906,812,513,862,306,474,270,016,450,569,242,420,051,514,
747,659,544,352,387,524,688,829,105,961,129,281,078,572,158,871,206,401,750,
030,205,023,433,143,198,407,016,567,572,605,119,046,067,572,385,178,912,166,
581,283,281,850,462,400,006,282,688,291,076,804,808,226,061,681,785,169,871,
549,475,618,345,321,668,401,434,471,161,925,769,118,553,399,257,379,452,735,
911,046,121,153,627,878,718,830,775,452,075,921,011,156,418,675,790,733,630,
087,803,506,188,905,982,671,389,060,645,822,174,048,505,310,327,797,544,773,
761,594,531,963,180,276,543,860,017,124,301,068,341,170,466,904,552,902,266,
286,520,375,306,034,089,396,606,869,987,958,200,230,588,537,084,277,868,740,
588,954,258,377,435,412,162,924,857,110,205,289,919,160,733,204,645,999,852,
008,639,428,470,386,611,213,487,469,532,470,420,683,173,504,297,325,327,842,
879,685,229,842,916,500,063,310,525,791,786,104,850,764,552,974,570,360,063,
544,417,154,929,622,228,326,100,552,152,104,025,162,381,736,009,786,271,526,
588,299,668,128,166,190,218,001,897,695,476,101,227,179,501,452,813,614,683,
312,096,956,916,738,224,596,004,698,136,217,258,343,779,448,505,470,325,831,
555,527,320,696,283,465,356,509,426,812,494,745,019,956,122,920,823,476,476,
324,918,934,381,090,862,951,642,028,799,262,284,596,287,245,439,142,195,385,
621,285,707,210,949,765,544,495,454,978,576,170,233,786,221,624,635,058,277,
266,984,421,036,857,616,409,133,295,906,505,147,278,907,100,675,711,849,344,
703,815,424,191,807,695,110,591,054,169,639,214,723,481,536,517,040,809,792,
918,587,719,804,890,715,010,990,307,668,176,759,199,976,255,299,510,264,670,
658,172,601,900,773,262,270,044,275,792,361,675,177,123,166,666,395,185,303,
135,201,183,342,767,251,923,074,656,722,271,057,251,959,865,505,618,900,297,
563,162,935,322,433,147,643,816,553,497,648,121,019,891,852,869,639,695,022,
368,712,892,533,446,127,320,032,773,980,994,847,063,396,933,513,127,067,041,
800,611,576,932,774,282,264,639,047,704,118,964,788,940,961,014,057,067,830,
815,294,261,587,482,993,228,395,726,485,746,254,567,484,481,946,861,348,255,
948,577,203,486,461,001,548,032,730,427,557,775,550,223,425,947,171,194,570,
369,879,693,039,355,048,326,083,830,650,446,532,908,607,391,324,252,895,556,
971,961,395,282,464,166,197,241,650,701,287,239,034,134,974,892,953,015,611,
905,201,959,018,389,303,222,271,362,323,922,390,848,540,643,913,929,344,578,
359,462,470,733,759,786,200,133,104,167,873,055,673,526,168,818,187,599,056,
359,014,488,763,639,923,298,952,162,710,129,375,337,988,595,680,994,827,552,
479,774,677,060,966,335,814,993,603,939,525,691,268,398,249,517,285,453,824,
584,630,458,477,073,405,677,236,315,079,063,115,295,204,267,086,335,965,881,
292,965,430,209,052,803,820,270,875,699,488,391,435,162,079,202,917,167,230,
120,311,794,362,171,157,367,857,702,152,856,921,625,025,822,042,775,881,551,
849,695,512,872,062,441,384,360,259,591,386,591,085,957,302,526,742,264,214,
350,127,469,435,142,920,812,395,204,190,209,784,309,590,732,148,383,655,531,
509,672,902,942,441,838,586,002,917,511,633,120,527,441,084,165,061,480,554,
210,123,256,299,339,057,816,776,605,205,379,045,847,543,799,467,970,838,905,
884,261,928,489,173,439,602,352,569,328,624,598,518,935,589,778,232,764,510,
827,222,945,769,323,379,730,957,352,277,869,032,507,395,512,297,031,659,726,
422,851,755,736,323,144,797,848,718,095,026,955,641,754,313,499,126,380,012,
832,586,244,053,544,340,462,887,646,544,401,574,520,852,970,466,613,781,449,
298,202,481,714,045,483,466,817,289,300,216,830,764,094,019,835,225,669,708,
247,727,148,406,563,548,008,614,158,188,340,291,792,185,208,305,798,508,529,
166,845,410,484,068,253,139,435,739,065,021,681,489,949,952,155,587,413,235,
415,847,037,107,310,048,909,104,619,650,927,487,611,834,211,117,697,650,135,
118,181,326,285,158,672,936,684,225,096,936,488,847,170,717,318,396,388,479,
133,938,747,940,684,652,083,103,904,263,938,418,056,252,659,246,666,373,692,
945,277,793,219,322,302,673,750,211,528,438,247,612,621,749,170,071,505,666,
044,425,564,437,134,379,793,007,495,981,301,548,901,365,625,588,657,868,861,
511,032,390,721,754,075,864,231,025,187,807,239,006,771,013,003,663,340,857,
764,760,113,177,505,575,899,238,856,298,578,413,453,555,026,381,310,233,480,
307,761,133,453,165,553,878,323,820,705,947,281,040,957,191,572,256,565,586,
989,232,266,384,819,993,768,463,184,876,026,371,581,440,435,172,014,400,089,
754,626,272,333,635,538,467,613,828,542,285,757,004,627,296,893,554,786,575,
474,220,286,849,567,032,749,934,611,667,440,084,990,200,840,164,659,266,126,
967,513,531,636,940,966,167,698,213,589,037,193,593,085,613,915,853,345,593,
124,751,317,134,459,222,927,008,824,390,763,249,443,990,851,154,754,787,704,
040,087,559,698,038,290,554,815,707,230,331,747,818,346,278,055,473,351,141,
182,468,212,148,511,150,313,965,714,831,711,194,784,742,609,415,789,985,753,
571,690,255,885,879,206,070,468,926,052,475,162,518,899,875,972,017,483,182,
762,436,703,834,582,226,093,131,189,320,547,662,540,961,643,975,130,704,619,
128,892,528,609,125,333,316,145,100,086,134,750,129,896,972,251,827,094,763,
904,360,240,972,564,313,991,399,371,724,111,134,423,335,125,713,914,635,393,
334,179,463,856,394,910,850,440,926,818,429,597,888,570,972,363,411,845,295,
159,524,325,714,414,205,975,927,902,072,886,394,347,042,181,095,555,745,264,
568,993,612,525,967,208,286,028,155,728,453,841,714,355,694,488,990,232,543,
849,477,020,954,869,177,453,723,884,933,851,978,302,461,687,031,248,508,457,
142,228,578,285,531,400,214,098,567,586,216,238,579,544,406,458,692,384,932,
500,836,541,767,836,158,678,006,651,821,480,516,900,576,731,312,322,259,534,
660,774,172,346,575,238,670,482,968,978,838,273,053,178,250,251,925,018,541,
872,201,566,161,488,608,880,190,393,821,281,480,142,531,261,875,632,265,163,
680,841,358,350,871,852,355,967,297,727,684,470,051,065,923,544,107,128,638,
123,747,854,791,875,609,802,129,714,397,327,246,476,996,962,853,295,585,080,
994,575,739,666,790,083,432,019,506,398,961,579,760,019,984,668,684,155,572,
995,040,128,490,061,444,705,661,564,244,601,629,860,092,309,247,420,996,735,
437,160,069,476,417,900,540,918,196,392,345,000,530,661,626,197,340,052,533,
521,242,807,605,591,765,642,820,120,550,310,851,834,496,260,499,043,724,340,
628,522,072,497,311,566,984,085,079,487,008,268,805,106,937,796,023,468,812,
024,599,831,649,351,279,937,103,037,932,349,553,861,016,645,312,097,917,953,
029,712,818,985,823,211,089,569,944,126,299,845,610,909,716,548,334,341,560,
247,285,223,800,007,160,498,096,179,934,129,420,833,587,811,900,480,304,899,
913,611,593,776,825,473,392,656,453,685,500,260,707,720,894,087,804,260,240,
852,224,323,158,652,572,932,319,119,273,472,429,891,255,842,023,350,265,505,
983,559,455,512,776,859,800,786,288,874,314,859,675,568,457,031,720,116,465,
259,742,812,750,842,662,938,646,698,653,788,959,233,227,919,445,356,017,732,
756,826,881,238,062,694,746,278,118,849,316,543,418,801,943,466,704,388,802,
709,668,182,158,310,569,428,503,189,374,546,260,298,541,240,569,177,226,581,
005,637,058,704,630,640,034,819,287,757,721,424,940,961,875,147,371,676,563,
848,843,905,965,611,233,650,728,469,497,154,894,596,855,194,965,452,686,248,
555,287,442,170,228,090,189,492,884,322,182,046,259,511,868,410,477,533,185,
123,631,575,506,580,631,372,496,597,280,096,488,247,720,289,962,631,349,124,
586,122,217,857,871,684,356,627,110,420,854,424,145,834,909,698,084,356,178,
899,301,143,893,869,248,039,474,856,546,451,442,213,892,629,475,926,062,697,
073,057,365,478,918,930,855,741,064,544,777,318,282,912,229,800,789,943,986,
688,859,296,812,756,662,286,285,797,423,331,119,027,406,113,869,654,845,949,
243,192,951,999,924,415,733,168,052,350,140,954,267,398,152,690,808,516,162,
493,624,412,138,954,510,121,775,946,178,840,250,426,572,988,329,442,818,626,
267,841,182,837,815,740,105,061,088,910,280,676,786,441,095,530,892,152,971,
544,681,239,891,907,964,244,277,942,418,809,140,070,808,107,609,531,397,814,
494,312,272,685,251,036,863,266,490,659,122,899,296,455,144,800,633,299,367,
273,234,396,489,590,491,473,234,342,770,245,040,751,122,203,073,015,219,457,
841,961,366,083,723,570,773,782,366,267,124,065,430,309,658,980,725,917,577,
030,632,568,685,400,885,094,793,750,106,389,530,318,942,994,082,531,977,887,
383,432,747,531,319,566,479,965,279,709,585,472,261,910,832,280,049,450,336,
300,834,700,093,216,824,257,971,958,257,389,358,437,089,402,641,716,964,732,
746,385,974,235,523,681,618,124,647,682,036,392,443,920,751,515,342,184,834,
210,406,438,830,901,234,544,768,619,993,089,239,896,327,758,734,492,676,812,
273,789,849,732,481,692,633,151,282,350,868,476,923,472,385,482,323,457,748,
564,970,815,866,505,879,025,502,833,057,505,371,766,797,267,482,198,540,119,
413,764,765,546,201,446,557,186,289,869,708,454,974,694,060,715,130,400,694,
512,405,954,544,729,412,665,346,509,174,974,218,060,860,944,654,088,879,635,
692,548,640,507,292,790,257,774,505,627,846,247,359,231,859,518,767,261,684,
390,231,819,498,189,860,998,979,295,212,554,787,609,857,996,874,888,982,007,
841,870,550,683,868,380,274,466,119,602,577,425,806,160,728,684,141,521,920,
288,205,821,331,890,893,704,630,692,557,109,438,240,192,553,104,714,774,911,
149,435,956,815,299,828,877,555,230,916,031,853,645,109,112,703,640,546,398,
433,673,648,527,556,772,900,214,347,669,638,755,231,439,691,784,198,787,578,
493,197,454,125,410,217,041,260,106,015,331,694,409,547,562,081,443,489,111,
820,822,472,646,345,825,694,161,307,472,591,713,619,716,751,794,200,657,358,
397,184,256,398,095,858,418,212,918,292,542,339,470,088,787,140,186,256,395,
840,528,214,857,259,172,181,551,059,907,841,136,479,005,948,340,551,825,444,
665,547,974,506,801,983,865,846,591,731,548,457,282,154,544,814,484,253,690,
686,212,922,730,996,242,053,115,980,320,092,443,582,292,526,224,400,680,037,
950,009,773,830,304,006,135,394,754,355,980,707,683,851,834,171,210,580,910,
079,517,390,272,834,209,318,817,813,733,979,317,275,206,302,902,392,491,574,
309,728,290,202,735,767,862,652,180,909,366,353,545,307,233,092,739,200,630,
882,991,744,899,277,939,406,547,698,946,099,393,646,626,779,941,734,007,052,
512,844,805,923,771,305,364,009,333,656,205,977,440,726,541,320,223,809,367,
670,406,694,565,364,972,244,110,495,534,902,654,890,266,605,663,563,109,061,
940,787,634,208,070,451,549,046,349,983,454,849,063,558,331,630,295,011,462,
320,347,030,349,434,490,963,074,178,968,702,049,762,179,266,041,040,727,669,
536,708,471,641,023,667,026,960,001,078,619,298,615,502,173,152,510,929,107,
545,145,815,450,273,077,775,756,527,122,510,827,698,378,438,282,389,797,365,
494,760,046,882,135,158,737,262,193,121,328,318,210,834,096,026,147,867,491,
818,274,829,966,739,855,146,122,630,277,540,477,263,996,862,956,656,120,341,
365,351,627,756,123,591,274,282,945,157,019,552,080,678,376,718,133,887,182,
585,151,101,948,577,922,433,079,603,749,827,421,723,636,892,555,797,565,284,
439,172,787,189,757,757,663,213,984,339,337,854,294,273,729,125,395,353,002,
090,081,623,566,771,610,466,884,592,638,605,651,464,021,767,418,382,122,277,
496,494,401,386,169,648,681,298,004,401,823,865,859,362,855,873,810,876,799,
277,177,837,016,756,731,748,722,603,137,632,515,794,814,099,150,130,389,796,
106,251,118,921,122,628,203,087,182,659,903,564,828,545,054,387,374,266,914,
667,883,714,174,987,680,098,922,632,821,302,510,394,548,662,292,124,903,196,
052,775,178,034,053,267,689,586,906,916,911,497,696,078,868,214,629,486,705,
100,160,331,189,349,677,518,609,817,769,327,490,335,257,544,546,423,436,930,
035,932,376,906,649,505,311,331,231,793,809,779,210,130,266,551,519,664,698,
358,065,891,379,889,378,238,663,143,505,944,020,050,115,098,343,178,053,839,
119,585,356,166,389,299,253,367,021,480,209,154,692,693,196,769,911,411,195,
384,062,501,968,490,282,417,631,449,432,916,006,176,594,218,572,003,857,294,
212,664,071,112,686,972,780,514,292,722,233,982,059,616,059,120,243,380,470,
020,579,342,614,620,387,848,604,147,974,474,945,617,564,212,836,603,673,247,
467,511,720,912,035,150,417,562,260,693,613,676,773,522,863,411,525,095,160,
075,558,011,032,189,451,377,510,936,715,855,050,559,699,229,250,868,914,943,
485,750,352,711,916,246,322,552,319,585,138,476,481,691,271,700,841,066,591,
415,551,754,833,431,718,618,725,828,880,138,400,411,776,922,498,438,081,729,
356,195,979,159,231,761,753,595,944,315,672,302,902,873,600,449,423,164,379,
974,995,843,938,160,684,678,283,424,431,836,157,963,206,314,789,795,571,381,
180,099,395,151,005,858,359,087,437,144,389,127,863,977,147,845,096,437,888,
465,353,432,600,696,284,758,449,948,521,257,600,711,249,685,007,882,390,806,
204,730,436,419,815,635,685,403,001,282,075,721,986,118,479,151,617,584,541,
117,872,306,698,393,470,410,747,851,716,170,069,896,416,927,768,738,762,804,
175,093,039,159,247,141,510,999,631,931,105,531,602,452,855,942,098,162,615,
885,193,893,976,128,768,881,959,794,338,235,570,283,718,974,648,188,284,823,
453,527,481,850,746,260,592,819,720,801,731,678,882,366,874,412,287,549,076,
782,553,640,694,776,764,973,180,179,883,163,786,414,591,514,480,182,848,210,
552,537,188,887,468,696,447,635,185,522,418,500,310,987,338,058,742,110,294,
964,349,233,274,218,065,035,401,691,118,656,651,124,403,895,708,832,410,458,
427,286,401,211,979,200,457,516,293,039,916,657,948,882,939,959,967,668,282,
635,045,980,964,664,974,281,583,037,428,515,250,694,910,728,496,792,172,791,
143,843,951,217,946,814,417,691,646,693,674,457,172,147,754,474,477,488,753,
178,483,593,882,684,040,084,375,201,621,348,494,316,250,400,522,758,181,727,
987,854,111,954,788,802,580,109,225,938,839,450,798,114,959,511,944,378,920,
393,069,084,887,341,995,381,832,826,028,763,749,270,095,848,010,352,141,980,
910,112,686,415,660,067,798,467,862,412,548,731,754,802,110,915,680,090,734,
337,027,825,501,383,728,048,548,893,624,819,746,360,582,550,745,364,416,470,
894,694,403,109,500,105,893,450,577,662,462,975,472,111,274,848,552,357,104,
691,081,294,875,790,931,213,405,088,389,718,223,437,104,106,304,187,843,730,
417,205,222,157,638,762,242,031,247,066,825,019,405,851,818,810,870,798,146,
416,904,978,069,914,789,298,718,306,590,966,576,972,973,777,233,147,288,265,
046,615,307,909,999,832,601,837,878,096,912,575,312,910,891,977,081,619,721,
494,378,716,433,195,402,269,033,990,142,406,300,630,587,523,271,092,283,257,
884,168,827,937,162,725,147,115,497,244,254,066,576,378,353,313,271,851,665,
768,051,636,909,291,075,520,772,057,624,951,077,244,898,577,315,359,420,882,
229,486,687,418,670,912,197,180,752,248,321,266,846,405,127,323,323,128,006,
104,819,943,971,708,832,221,083,570,672,089,211,012,217,581,769,341,696,189,
583,307,582,965,554,616,700,148,179,837,573,162,985,716,572,685,992,953,983,
787,185,689,865,012,534,985,821,612,785,662,276,423,903,697,504,081,171,231,
335,443,417,957,587,954,808,872,224,625,326,792,910,366,581,970,123,361,093,
443,450,117,986,937,862,058,325,304,741,638,522,311,315,597,905,685,266,378,
892,835,564,103,303,549,010,896,733,153,293,738,028,855,605,325,175,950,410,
690,925,232,998,106,224,292,599,010,316,762,463,383,017,263,734,917,391,263,
103,447,170,549,583,015,115,340,048,289,472,103,463,744,407,818,518,667,288,
452,036,617,511,407,557,743,320,682,881,527,871,983,844,479,079,295,521,842,
345,032,489,384,785,998,354,117,383,596,969,233,803,268,207,823,461,870,145,
030,708,707,990,389,547,903,598,162,177,745,354,461,843,470,370,255,570,737,
375,196,541,997,125,827,788,365,453,265,072,950,506,775,609,007,620,058,418,
518,257,441,664,861,698,284,897,554,729,079,585,069,012,666,239,802,002,198,
160,308,196,402,452,955,659,282,846,152,930,310,694,667,362,954,660,634,525,
289,510,438,870,651,261,083,984,864,911,701,361,030,868,540,094,534,998,482,
178,460,476,062,318,705,760,084,786,144,789,982,155,787,392,208,522,961,391,
542,317,245,131,256,826,316,652,862,336,464,220,197,561,521,083,549,313,845,
601,284,772,758,702,097,431,649,019,661,049,008,632,580,211,408,904,778,463,
918,871,866,665,889,839,817,554,453,722,702,327,943,572,859,163,626,921,705,
625,428,311,794,239,791,587,215,309,357,880,413,469,213,054,351,102,801,601,
299,836,836,264,160,284,005,495,663,281,795,120,232,770,716,730,693,471,719,
596,213,883,535,632,778,126,710,252,974,897,729,508,356,833,385,877,229,656,
836,760,824,383,497,569,846,598,389,124,445,924,759,450,695,586,921,089,326,
131,692,440,806,721,175,832,590,633,048,638,125,170,866,027,710,358,622,111,
121,311,041,969,820,128,355,659,522,089,608,969,356,484,141,323,333,333,554,
092,743,920,891,105,920,221,696,945,273,460,901,955,726,951,057,279,032,487,
531,428,989,659,005,626,572,061,648,208,204,207,278,365,523,356,933,932,776,
297,408,469,921,427,173,454,097,876,469,574,882,182,398,746,649,838,035,402,
610,748,852,950,280,169,072,581,314,165,107,542,795,120,541,133,262,676,338,
280,268,387,230,348,986,045,642,603,586,447,940,348,358,716,682,219,439,649,
776,369,914,144,282,061,509,905,546,149,223,748,524,035,182,589,326,553,121,
677,541,734,225,669,200,601,779,010,968,152,694,689,912,855,071,302,086,193,
768,476,894,879,754,581,554,015,277,714,487,776,653,805,019,433,009,756,124,
977,669,256,822,350,881,495,128,368,962,495,830,190,091,154,988,096,416,905,
451,845,772,437,798,996,135,521,732,235,626,894,660,631,993,327,255,420,180,
360,731,365,123,670,385,485,804,252,920,699,729,942,309,731,934,542,356,812,
130,688,617,040,193,458,190,138,107,056,886,264,067,916,589,241,226,284,780,
301,982,341,814,448,235,270,880,951,045,646,521,337,465,602,972,920,433,899,
043,557,099,588,024,050,601,295,516,539,035,395,049,308,965,134,544,293,931,
437,600,600,993,215,923,330,506,913,933,133,102,920,833,930,903,341,655,268,
985,858,155,187,542,980,576,720,649,180,082,952,492,920,127,708,689,085,547,
950,586,731,703,833,535,430,274,492,858,734,148,241,808,070,399,315,622,650,
152,340,875,468,966,049,740,080,569,850,980,849,906,506,795,580,137,178,490,
275,263,193,536,163,691,833,916,479,886,063,164,179,265,375,396,674,069,206,
593,401,053,659,000,845,460,651,475,955,114,197,879,715,951,710,302,195,879,
081,315,932,555,562,738,781,937,675,168,237,138,475,512,008,080,243,334,474,
596,960,744,676,818,690,816,336,023,134,580,575,401,899,377,925,106,413,901,
853,268,459,180,946,086,026,261,813,190,114,781,876,432,348,397,137,632,015,
029,412,885,865,417,591,234,072,268,447,303,033,214,055,969,146,384,112,139,
056,388,204,670,248,389,130,912,791,231,623,285,750,993,015,890,489,940,542,
415,344,923,737,525,027,284,341,466,172,083,310,037,150,789,277,690,586,854,
760,445,243,056,960,719,409,390,434,171,156,195,335,182,716,709,061,910,890,
016,758,718,815,277,478,211,152,217,685,384,564,736,446,504,317,067,214,252,
829,531,304,142,417,703,634,206,332,435,784,022,096,973,014,074,790,717,478,
628,880,247,183,934,029,566,715,725,903,484,988,305,793,222,796,692,846,377,
257,920,452,030,443,524,467,710,707,962,492,520,037,678,634,554,545,204,794,
262,087,603,221,456,013,585,428,921,240,811,180,372,709,237,872,438,691,326,
792,790,615,374,991,499,369,017,659,959,446,021,930,486,197,873,053,874,178,
910,782,887,907,487,640,316,392,573,490,883,729,991,862,641,972,397,112,068,
544,301,282,058,357,244,117,208,958,169,608,330,502,474,607,666,274,871,806,
265,185,120,507,241,723,709,725,578,023,292,885,830,823,582,083,144,026,465,
654,006,599,289,321,906,971,854,682,897,144,169,143,473,995,683,295,121,478,
343,085,435,464,859,058,974,900,638,172,403,026,006,521,608,936,096,216,339,
403,222,128,517,702,772,488,942,871,774,437,840,337,588,762,754,354,695,522,
051,637,689,254,877,892,153,561,084,022,680,441,577,502,308,806,122,887,383,
229,196,286,566,358,762,155,100,285,908,605,713,724,087,883,849,436,497,981,
105,021,309,241,443,315,071,712,127,629,509,047,742,166,094,726,305,624,527,
835,050,645,656,501,553,585,757,665,693,700,183,827,238,004,827,491,372,028,
071,975,093,089,103,910,132,240,623,518,536,150,572,620,852,081,488,988,591,
334,524,149,747,934,483,073,590,497,455,929,236,618,311,079,205,023,133,178,
785,882,613,099,589,375,005,880,441,462,959,114,450,264,348,536,545,878,327,
947,575,812,387,556,080,677,489,853,874,429,252,945,865,779,858,584,453,115,
903,979,253,820,737,704,911,098,710,678,351,692,770,859,333,583,872,021,675,
674,115,894,220,233,413,203,148,681,430,226,288,537,267,730,967,519,594,763,
819,938,943,901,491,342,488,756,274,410,568,833,940,621,503,481,679,989,199,
529,047,250,055,899,501,557,367,431,035,832,652,551,538,056,609,859,076,702,
160,776,002,829,410,273,856,823,439,807,264,311,669,947,160,236,864,951,210,
251,021,512,720,729,145,637,935,096,399,487,392,471,133,235,807,377,367,426,
763,280,266,319,248,776,615,587,380,006,826,429,375,220,618,899,494,026,048,
214,107,531,703,584,724,593,362,660,193,315,686,459,011,174,696,856,309,222,
302,968,991,265,835,189,317,984,795,827,560,759,801,377,027,288,153,166,278,
028,286,925,798,785,450,482,540,370,022,685,977,798,828,401,330,200,473,097,
892,990,346,789,848,419,423,893,476,465,761,442,161,874,202,768,755,996,618,
804,129,674,174,065,154,735,463,396,019,329,569,754,681,573,613,155,276,909,
152,943,395,333,367,298,162,890,437,328,234,390,465,754,878,649,463,377,964,
927,896,052,719,749,685,670,944,484,668,083,444,316,450,109,907,972,301,260,
756,651,261,857,795,705,166,551,803,977,550,585,980,614,129,651,793,199,130,
625,800,424,519,099,029,582,117,245,786,256,961,611,379,846,957,348,838,594,
309,261,676,578,454,260,334,048,447,845,568,535,444,017,510,364,627,331,184,
352,270,156,642,950,063,611,264,245,608,004,855,077,698,815,387,297,988,742,
926,230,440,231,778,615,273,279,908,524,141,481,128,280,671,944,888,328,390,
181,843,567,863,791,358,318,007,060,067,535,048,601,124,327,921,052,297,029,
106,348,261,971,169,877,845,580,705,208,670,932,451,661,042,610,991,423,130,
136,902,324,715,377,641,917,387,569,141,913,583,118,596,037,380,391,505,785,
357,684,389,115,115,692,930,232,076,301,621,699,619,238,474,664,102,174,402,
695,807,494,981,685,787,207,943,009,879,197,743,256,982,039,074,353,922,527,
023,356,839,129,686,676,841,735,900,685,901,497,792,351,159,212,690,689,949,
790,803,941,655,630,013,795,121,280,189,847,162,686,663,724,862,569,580,976,
362,102,655,844,908,585,589,803,584,700,204,582,337,352,426,300,216,462,216,
107,765,084,579,997,794,650,716,233,077,253,178,050,656,128,343,111,213,760,
876,264,819,659,176,970,231,479,547,489,876,113,035,566,212,380,346,995,454,
646,708,376,602,195,648,080,729,163,218,575,690,353,755,590,279,778,593,867,
304,088,950,582,686,623,558,679,331,033,305,120,520,690,748,834,767,355,594,
146,675,850,659,709,026,153,717,816,839,677,370,166,391,177,601,099,478,840,
707,321,451,796,148,709,778,986,457,622,469,836,541,356,885,741,508,496,168,
581,102,022,839,161,510,495,563,462,273,998,192,268,620,298,276,199,597,317,
158,466,945,691,253,448,639,174,537,330,270,600,193,448,293,529,599,212,798,
328,559,475,746,379,427,303,928,085,006,261,894,103,311,615,232,679,904,061,
353,124,123,082,073,352,211,494,795,262,015,558,171,392,868,464,992,623,765,
206,783,759,672,379,961,815,312,419,582,204,887,988,735,184,260,689,716,138,
482,192,791,568,340,030,516,479,414,477,992,574,800,806,716,680,821,323,627,
814,504,673,848,957,421,053,483,053,188,080,130,168,855,570,691,238,195,653,
210,217,273,796,628,315,738,784,889,959,811,152,773,418,849,585,355,706,621,
416,299,264,897,779,783,630,664,963,225,706,220,384,046,784,625,622,259,335,
709,824,654,010,619,643,588,543,132,217,921,762,268,194,295,111,626,039,662,
266,167,355,257,011,421,330,989,839,714,262,491,254,538,753,911,613,123,816,
607,314,714,425,598,991,125,298,649,736,561,972,918,744,436,361,307,459,101,
731,912,975,850,131,310,144,581,389,840,604,439,295,549,348,305,854,763,044,
083,830,845,566,243,757,074,848,465,095,592,087,871,248,327,908,030,334,678,
860,430,707,450,653,120,562,160,048,454,516,417,959,802,194,419,471,438,430,
677,581,682,864,378,073,764,804,211,948,955,459,336,891,653,777,515,442,608,
566,650,211,813,317,775,219,521,323,528,608,827,303,935,370,987,594,871,095,
634,228,180,888,074,492,644,950,354,575,143,933,523,759,908,557,383,588,663,
696,143,467,834,761,597,418,797,343,597,169,036,377,535,245,156,399,711,783,
901,122,318,164,240,848,858,108,771,538,053,390,009,783,013,728,553,957,154,
109,197,839,965,532,684,492,181,252,204,275,468,961,804,289,762,214,532,195,
744,252,161,392,004,508,353,933,464,865,176,188,603,180,579,846,324,763,611,
645,772,307,110,642,847,140,142,473,755,640,308,672,422,253,914,590,731,112,
481,711,840,957,417,078,730,257,495,413,658,921,653,485,968,387,349,541,720,
160,687,081,058,233,607,010,260,390,465,805,549,707,242,066,062,493,476,657,
075,982,434,025,635,159,668,864,080,821,116,392,691,310,474,468,369,888,743,
507,240,190,829,664,958,605,055,711,181,002,604,532,304,468,466,607,387,305,
942,801,718,910,765,509,973,711,466,654,967,019,947,126,726,608,889,209,638,
186,958,955,129,037,662,121,921,929,295,088,923,484,220,160,087,781,304,675,
258,578,652,679,741,382,463,723,706,818,623,476,216,093,093,237,537,168,759,
111,959,047,391,688,709,207,542,330,382,609,653,824,747,184,828,084,352,337,
513,338,182,642,696,181,399,141,131,174,341,443,099,301,490,467,606,781,481,
590,907,169,244,887,800,357,441,481,275,125,628,518,201,738,430,725,133,713,
942,170,714,030,153,325,253,812,420,029,573,986,683,639,543,273,515,764,140,
836,929,580,351,926,769,034,238,288,209,865,004,092,797,059,165,971,365,754,
252,491,026,230,877,507,866,865,517,244,148,769,584,517,508,286,944,628,472,
617,256,709,070,408,235,998,076,899,496,982,152,583,654,629,761,195,317,293,
731,001,623,994,189,506,016,039,576,765,882,440,944,780,646,048,045,621,616,
993,451,830,559,910,609,320,594,210,569,575,454,332,391,072,731,012,993,706,
231,868,571,745,094,304,807,472,964,409,720,916,360,997,097,146,214,842,253,
074,519,215,593,375,453,130,162,759,419,742,448,529,865,669,258,723,539,044,
941,857,640,188,569,098,515,211,953,120,756,770,144,188,947,239,484,085,576,
310,302,586,816,388,437,428,086,896,342,998,208,366,259,475,563,114,234,667,
825,755,468,224,406,961,634,949,151,573,376,021,446,012,472,396,916,242,189,
845,416,369,005,850,601,042,773,904,685,437,935,304,905,751,712,990,969,086,
151,305,888,042,163,832,358,192,236,245,223,936,168,771,984,450,034,483,331,
880,723,366,273,496,834,162,468,325,212,859,586,925,011,284,034,661,780,850,
744,464,672,318,021,446,598,446,098,759,892,105,570,206,903,485,963,688,766,
271,825,761,964,123,842,906,107,000,931,851,024,799,754,716,846,405,343,692,
143,748,376,314,699,728,884,691,964,203,343,599,477,415,144,087,082,535,098,
903,872,705,980,721,968,820,780,842,145,298,522,661,560,511,663,219,799,419,
250,880,107,506,659,681,830,839,706,917,935,983,071,111,083,580,764,430,929,
054,715,823,230,232,684,322,815,734,291,659,771,563,589,752,678,961,471,568,
343,788,727,028,271,099,937,897,403,813,261,006,020,505,915,301,300,384,710,
631,283,028,681,443,595,798,662,664,699,135,323,910,537,778,270,484,263,578,
804,499,185,955,528,852,190,540,293,901,337,608,699,566,302,197,538,438,478,
234,263,869,629,133,720,002,137,794,161,251,392,927,924,651,499,042,947,563,
823,700,159,754,677,696,984,156,258,182,278,910,948,005,295,970,077,935,250,
366,530,827,078,325,037,654,002,649,283,676,418,680,429,612,075,049,327,167,
823,797,547,808,905,448,377,396,393,238,664,297,468,965,609,310,824,475,621,
203,474,465,782,425,108,722,214,571,985,638,029,132,821,982,181,678,166,590,
888,847,034,554,009,996,536,741,911,048,577,879,577,947,987,902,045,995,233,
223,620,804,367,566,168,109,574,227,796,388,581,394,186,762,068,332,470,024,
975,087,950,630,999,108,812,593,215,585,110,909,746,979,792,178,607,255,467,
259,939,434,686,161,045,874,950,816,780,218,997,142,963,898,501,381,315,239,
974,183,794,377,607,613,661,466,349,231,406,960,585,246,832,983,394,273,782,
145,075,645,976,677,262,914,405,368,458,756,636,966,628,356,774,146,386,150,
515,167,402,463,456,585,507,209,064,390,287,583,484,757,215,277,287,656,964,
452,616,156,520,140,577,041,899,963,426,447,139,596,694,529,066,941,768,068,
913,973,013,428,129,530,188,736,080,531,788,400,219,270,332,223,613,736,845,
974,849,598,803,723,252,094,410,241,136,590,231,719,579,284,324,101,803,332,
785,404,071,374,599,154,973,385,509,379,330,649,896,676,046,413,465,786,662,
501,022,786,311,795,858,172,790,281,557,170,798,950,011,825,641,871,449,157,
006,258,037,983,925,374,730,046,054,961,493,581,326,768,010,239,775,070,561,
412,987,928,835,890,745,874,218,073,065,249,036,151,758,999,073,616,570,222,
377,534,066,021,357,377,366,641,789,957,324,361,394,991,290,429,353,362,159,
932,794,554,791,509,728,568,351,147,424,004,907,348,485,859,873,479,162,717,
180,487,098,682,662,177,690,733,003,871,302,764,229,732,468,717,473,328,092,
866,299,020,369,374,968,396,905,986,395,102,033,918,782,967,312,635,029,895,
167,822,053,481,809,392,152,077,336,212,200,022,326,980,148,351,217,853,803,
210,964,990,172,765,179,839,028,191,808,314,697,428,468,492,144,113,292,136,
527,244,337,535,079,627,297,459,533,099,173,647,028,301,821,613,903,983,693,
205,049,211,166,559,524,943,820,985,801,332,986,408,056,631,159,125,208,134,
608,702,094,861,799,305,806,475,469,384,945,070,249,502,100,336,504,058,711,
733,182,174,989,119,085,468,881,762,161,877,987,817,658,396,847,674,643,101,
989,790,937,972,202,537,923,560,795,856,061,572,383,589,903,626,452,666,230,
384,106,640,077,441,025,209,225,711,150,864,521,921,409,056,418,325,747,528,
193,467,303,797,309,927,306,226,295,672,730,095,680,652,694,515,487,615,004,
602,578,285,703,376,466,537,116,803,726,974,633,916,849,870,945,666,837,592,
232,135,465,028,068,171,859,978,186,001,994,938,102,927,339,986,740,008,063,
121,111,481,394,110,576,335,414,768,915,058,678,045,007,614,359,175,155,997,
248,253,462,051,028,174,581,712,822,776,636,020,955,913,702,241,230,620,630,
533,697,348,067,278,195,075,299,610,637,648,864,245,866,883,170,984,970,378,
434,459,937,034,223,864,059,627,706,355,041,750,097,587,749,825,583,255,726,
452,061,289,837,074,801,850,640,799,955,611,513,605,340,752,875,665,190,675,
939,594,951,963,040,382,166,035,312,821,583,551,102,788,529,329,359,722,984,
563,475,288,179,164,034,729,769,962,725,385,100,528,422,435,214,908,314,189,
563,356,088,493,990,183,992,009,922,968,670,731,477,297,286,204,616,109,217,
621,774,380,699,821,622,644,066,932,846,265,877,802,526,278,608,579,862,547,
038,841,352,481,734,897,465,288,624,946,093,891,783,025,142,679,741,928,610,
203,596,136,967,217,736,981,951,032,121,143,903,963,862,423,802,153,000,129,
009,365,319,523,548,151,137,593,480,296,251,874,894,973,950,437,807,917,096,
513,627,994,072,489,156,200,169,357,803,448,098,269,662,347,537,905,008,751,
694,192,468,108,035,505,583,906,815,605,264,923,827,136,328,083,170,083,504,
842,145,090,625,851,965,268,960,284,066,893,641,858,037,067,050,960,108,222,
512,475,435,008,536,219,913,795,318,114,073,579,581,109,951,406,853,076,101,
368,886,921,656,095,659,707,258,704,633,437,933,669,530,052,101,313,682,336,
362,355,993,218,555,708,880,245,520,055,689,096,657,331,580,787,531,437,823,
486,514,764,592,448,222,920,180,682,341,281,204,649,050,857,161,333,523,284,
474,708,781,331,074,680,981,116,086,060,897,686,569,564,161,823,604,518,284,
419,549,670,945,669,227,934,333,836,726,489,463,351,007,932,241,960,242,550,
692,906,785,769,380,342,712,722,441,360,908,209,467,827,652,134,634,336,562,
925,665,299,497,511,941,792,947,188,495,198,457,640,679,173,025,086,483,374,
952,821,053,960,234,930,108,463,115,901,594,293,347,360,695,422,722,256,878,
158,020,170,570,067,232,581,076,689,201,008,548,244,195,271,261,772,119,427,
077,226,239,598,260,373,571,034,729,788,230,010,444,374,225,623,245,775,737,
471,576,794,897,953,251,439,368,379,495,160,840,393,883,655,005,297,418,658,
612,313,788,206,719,170,076,444,989,329,072,598,033,361,468,019,921,479,288,
064,736,409,249,796,057,735,376,058,391,637,050,038,494,183,343,973,699,670,
248,967,240,748,232,584,913,639,612,714,762,437,686,154,575,886,490,695,907,
273,196,047,061,885,491,602,707,686,851,691,116,115,797,028,017,572,174,999,
327,710,044,297,438,366,751,717,603,561,103,278,628,801,555,345,660,595,795,
266,457,203,895,774,477,198,598,011,451,024,050,297,539,190,217,889,980,036,
693,361,067,584,024,001,182,874,295,642,363,492,662,734,194,981,020,225,881,
604,280,527,182,188,740,199,510,624,863,192,633,294,852,644,252,438,783,020,
741,609,673,546,087,365,073,401,104,640,880,915,082,103,709,255,454,710,587,
916,322,137,043,339,141,454,873,096,793,116,772,251,874,953,592,495,262,157,
325,491,021,578,215,445,112,545,711,209,161,915,289,921,164,636,818,004,646,
677,880,789,700,475,684,808,024,970,624,770,777,678,006,552,490,468,566,952,
178,546,360,412,303,498,001,134,825,227,464,609,221,455,624,871,244,117,214,
085,932,207,244,680,422,173,411,169,294,054,318,362,115,688,506,068,970,999,
130,125,031,052,401,077,128,964,759,825,099,719,407,520,089,100,230,902,769,
609,518,768,293,666,367,941,584,381,653,019,168,787,708,843,435,021,563,994,
186,712,517,418,071,639,362,020,670,686,195,068,223,714,218,313,118,264,356,
414,166,809,000,654,639,693,249,785,158,309,154,306,590,758,486,332,023,731,
982,703,234,555,710,713,600,875,635,523,319,363,863,218,724,770,850,120,299,
926,207,774,659,135,203,609,321,507,427,782,868,015,215,618,603,260,014,752,
269,356,566,304,146,238,351,259,354,180,463,507,204,255,314,413,141,778,638,
067,158,882,305,304,226,108,783,934,364,282,982,204,868,481,302,081,939,744,
172,580,363,785,861,323,719,371,802,507,568,075,784,183,762,938,395,200,945,
506,412,685,013,012,880,984,678,080,468,760,504,033,586,607,427,062,756,230,
696,750,021,541,449,853,962,870,179,056,470,544,276,477,944,207,555,546,235,
195,768,272,802,658,665,211,295,562,338,470,875,421,774,556,430,957,224,460,
903,623,890,499,128,755,226,754,307,885,243,114,844,106,354,846,811,444,172,
210,416,972,287,366,539,369,712,186,459,378,336,273,741,911,093,753,752,594,
122,356,530,030,358,094,282,602,336,784,355,954,411,049,483,689,907,254,292,
866,685,547,338,666,582,769,295,695,218,851,132,059,050,771,601,504,122,822,
185,032,079,068,970,624,313,558,025,732,213,295,571,532,646,449,485,541,790,
392,222,593,579,649,956,006,005,265,471,413,874,152,804,950,932,275,685,501,
305,915,497,167,866,728,692,294,212,495,936,719,125,105,446,312,863,891,424,
201,644,789,029,817,836,145,782,010,384,854,297,501,116,086,156,275,404,245,
585,258,219,314,950,674,447,671,718,499,208,294,061,619,873,718,392,406,174,
513,996,969,812,671,409,129,662,105,973,964,937,291,290,308,631,811,076,170,
061,692,938,455,895,468,296,788,714,386,778,357,336,115,586,366,385,073,866,
425,558,930,022,150,323,192,349,099,101,549,825,575,257,023,754,206,866,871,
999,317,537,678,805,881,194,956,052,995,912,767,820,987,735,817,443,227,662,
413,651,956,696,294,374,709,298,706,548,551,232,642,982,300,051,529,355,895,
512,933,420,106,121,251,830,390,834,641,264,151,884,878,342,531,618,927,673,
833,862,529,089,454,731,343,742,118,910,642,497,026,612,661,383,453,279,528,
311,708,293,024,084,072,069,564,480,631,529,223,025,095,850,769,299,481,954,
174,287,076,791,740,239,210,307,181,858,622,273,425,071,376,905,111,696,060,
864,798,201,971,014,898,144,385,002,369,772,529,923,544,253,518,963,351,427,
453,705,412,103,008,616,308,203,854,468,778,992,505,801,606,948,870,727,279,
282,444,494,479,265,408,501,058,921,262,800,230,628,350,989,527,819,000,564,
121,405,570,251,099,531,433,115,934,133,525,458,020,605,214,902,671,196,053,
414,079,346,051,432,499,456,923,510,235,017,299,200,908,957,331,771,194,922,
172,603,919,365,843,117,035,380,311,238,003,108,394,667,594,499,677,659,339,
910,921,718,886,590,035,950,236,498,680,193,642,315,690,734,233,701,713,537,
604,877,230,441,920,726,105,299,902,699,577,598,783,577,637,671,366,664,018,
346,260,115,215,353,578,831,971,405,317,287,556,774,152,193,568,792,067,216,
846,942,961,890,471,765,071,170,545,236,259,903,038,473,241,827,316,588,425,
628,932,274,565,941,760,170,078,494,075,253,589,361,749,930,081,262,120,533,
691,652,266,451,845,411,913,806,259,327,321,729,835,085,814,820,058,749,978,
599,741,701,285,396,804,807,628,705,916,361,897,988,482,614,872,240,258,647,
650,386,001,474,201,582,609,274,507,016,462,350,143,225,173,555,032,542,754,
298,459,036,574,779,787,070,353,183,492,757,194,706,851,661,103,808,594,752,
174,760,683,121,351,477,988,621,570,682,090,901,289,518,762,298,814,702,312,
837,236,790,513,916,225,269,993,170,651,030,181,262,311,336,202,798,512,339,
911,871,026,809,801,486,140,094,101,134,085,531,924,843,027,120,770,107,457,
838,445,772,221,043,824,708,451,975,950,157,634,469,021,394,838,690,622,329,
161,600,402,402,293,957,364,064,691,261,727,093,877,490,465,753,033,182,753,
325,120,273,752,634,757,398,346,890,094,581,369,005,491,312,432,297,161,870,
371,517,104,480,686,622,485,682,557,614,309,274,845,768,641,258,969,359,239,
906,063,163,264,622,856,071,233,763,169,982,757,987,753,237,609,344,429,091,
636,868,884,830,015,305,889,381,414,801,494,938,508,398,990,450,431,129,126,
989,835,316,077,610,455,160,182,592,971,467,332,763,890,055,816,854,116,103,
085,422,450,297,461,622,696,573,869,276,052,753,931,615,109,851,083,503,758,
230,618,568,581,983,629,908,600,431,972,249,370,763,835,510,203,902,483,621,
271,097,965,976,160,340,627,012,703,947,651,697,171,038,760,878,030,025,540,
506,680,412,633,522,801,625,008,940,893,437,921,500,789,404,259,292,757,838,
819,553,119,019,612,654,165,446,473,928,134,121,182,580,264,792,044,184,269,
659,112,399,830,773,452,602,049,708,503,304,393,161,121,276,027,087,875,432,
882,379,641,588,786,367,297,730,224,486,774,509,311,345,221,731,265,538,005,
522,016,498,521,342,784,054,616,029,640,965,451,358,059,820,665,534,025,650,
940,167,514,214,984,230,645,903,203,746,376,842,111,273,423,666,985,984,977,
035,584,225,259,883,650,992,341,504,922,115,090,776,265,613,528,175,643,289,
912,932,127,009,431,014,052,821,744,311,504,721,538,564,527,832,114,683,950,
883,534,205,933,387,501,579,244,675,960,306,205,584,952,119,817,271,231,907,
913,490,669,850,116,410,280,928,044,303,011,937,717,591,208,396,416,346,793,
557,675,513,312,638,598,567,284,003,693,797,088,505,391,334,057,928,565,451,
272,015,073,358,123,613,461,173,357,116,125,567,395,548,563,824,911,916,492,
968,066,242,123,912,378,812,391,309,803,607,117,489,313,758,158,492,044,490,
938,781,129,952,119,368,929,829,435,204,497,830,345,255,564,663,833,957,730,
990,570,666,109,520,906,091,618,305,827,386,670,841,913,290,673,931,669,951,
089,181,387,189,328,033,239,547,686,397,113,543,878,181,885,374,519,386,014,
256,219,391,390,796,551,759,021,031,192,551,404,686,526,322,755,737,443,416,
606,883,639,686,728,441,977,944,644,867,850,306,083,322,457,518,066,033,815,
153,725,791,446,991,378,435,499,817,016,747,723,938,073,906,798,798,142,606,
736,787,723,159,354,863,004,483,524,588,102,514,321,939,047,542,351,221,289,
597,912,138,773,705,173,439,501,504,532,995,582,885,650,009,832,435,485,455,
154,187,182,535,157,256,331,218,115,120,261,261,420,802,267,383,279,018,786,
761,403,085,073,123,522,157,891,647,804,005,104,501,315,717,220,662,740,424,
043,636,332,815,602,141,627,428,118,137,645,556,099,381,882,730,195,830,996,
057,127,290,669,855,799,290,686,667,351,931,817,091,236,896,438,083,759,847,
258,198,079,339,252,590,408,368,397,212,666,321,616,960,634,748,548,952,615,
176,997,682,908,594,627,018,042,467,435,624,073,881,400,818,256,593,876,600,
027,881,408,136,141,583,008,364,968,282,266,198,899,185,076,234,029,380,298,
516,899,552,290,339,764,507,915,356,743,447,327,788,464,160,445,595,863,040,
656,334,797,801,233,176,551,186,751,569,681,056,198,902,296,097,130,964,474,
353,144,314,623,133,704,568,929,288,910,794,788,430,697,398,440,554,900,340,
184,751,359,301,715,242,583,632,029,316,321,932,120,051,503,153,240,027,508,
245,177,620,613,079,965,222,313,810,826,746,379,690,067,231,259,033,349,209,
595,060,402,764,275,654,624,112,524,490,648,781,434,177,159,074,238,708,894,
012,298,044,088,807,666,783,494,995,324,412,790,309,403,632,896,429,944,293,
138,961,203,050,871,092,858,756,071,144,575,592,211,522,778,580,109,104,706,
511,203,280,779,085,981,666,199,173,425,360,177,582,141,238,568,454,924,570,
049,935,472,109,843,903,172,657,810,026,446,295,562,880,979,225,816,954,302,
442,064,298,208,119,295,583,824,638,990,570,823,814,262,391,200,774,655,697,
020,883,321,742,175,549,209,536,171,879,823,093,624,304,269,923,083,925,097,
230,515,842,270,107,693,571,014,827,064,909,408,806,969,767,582,298,433,499,
094,179,407,650,523,830,114,647,630,560,535,842,449,939,360,815,336,385,055,
660,385,393,938,651,228,907,519,418,269,520,300,608,872,626,272,714,354,077,
338,945,143,837,235,510,531,968,245,200,586,783,917,382,167,769,325,454,845,
435,102,806,971,064,875,461,959,023,848,621,692,417,134,023,866,041,298,065,
719,352,464,369,945,786,359,339,556,293,662,520,609,773,557,926,250,553,503,
566,937,266,000,381,790,660,046,664,564,448,757,025,735,673,423,680,473,512,
721,277,955,654,001,848,183,317,899,275,941,293,251,342,878,451,810,128,338,
449,923,060,067,017,926,420,959,357,887,593,445,872,553,631,939,476,613,395,
876,931,155,503,531,718,970,831,512,512,481,123,550,332,593,066,605,331,220,
321,213,100,678,614,663,837,218,022,295,687,721,088,214,155,476,849,949,338,
671,258,809,269,743,926,794,633,740,994,043,969,692,124,310,298,642,856,808,
274,382,056,926,217,547,783,885,217,011,075,203,951,344,123,940,014,053,305,
361,572,967,899,272,134,969,635,498,742,411,426,433,772,398,886,523,950,127,
063,040,259,478,271,248,674,315,584,344,891,806,894,159,681,685,055,342,027,
140,813,013,715,358,757,387,400,694,371,164,846,086,738,944,606,078,568,279,
544,400,756,491,898,039,080,752,029,940,581,834,277,148,788,947,662,803,892,
145,787,774,087,043,841,477,504,575,827,952,975,782,420,284,526,650,590,455,
371,945,181,251,527,861,227,069,435,480,588,460,478,339,437,786,888,458,411,
180,162,059,068,830,617,406,071,917,775,260,659,459,510,610,884,714,955,894,
091,240,966,088,248,401,350,098,359,567,784,593,587,966,508,994,475,002,734,
986,919,166,712,544,775,843,177,980,048,461,055,850,516,070,010,690,756,689,
529,843,547,883,821,274,890,759,042,917,898,153,437,463,143,972,033,855,274,
041,944,573,282,981,457,995,143,428,150,481,664,706,803,103,660,304,938,847,
354,416,421,513,611,084,955,434,443,674,456,412,278,313,990,319,307,471,678,
872,230,092,101,284,579,062,419,866,023,297,976,863,871,934,607,640,081,816,
503,612,265,941,775,896,359,484,864,027,626,657,487,432,861,314,373,382,817,
616,877,723,588,799,148,044,135,469,201,625,510,133,698,534,830,203,664,637,
737,753,870,060,171,422,625,704,633,694,704,599,813,914,147,172,247,074,300,
884,685,013,573,195,861,194,655,676,457,838,194,942,001,803,361,902,309,588,
912,132,003,497,571,921,202,047,351,548,054,464,164,562,751,133,093,231,658,
707,709,817,234,262,822,701,105,054,984,937,753,787,371,931,971,852,513,109,
900,086,351,265,387,905,956,781,880,119,495,783,982,030,469,122,790,201,345,
598,670,158,715,536,198,923,317,512,859,737,468,750,029,199,962,169,733,776,
775,461,362,641,998,660,843,249,508,493,173,850,314,725,082,659,116,925,544,
893,844,553,962,793,924,346,398,754,258,362,761,642,998,963,403,677,120,502,
663,297,084,544,500,875,775,932,585,699,172,812,580,017,797,276,259,098,314,
817,831,169,114,303,259,526,713,021,047,388,716,283,063,447,033,783,232,681,
297,221,287,471,511,020,133,656,222,040,133,833,194,976,729,411,913,307,491,
702,989,049,155,540,788,968,721,838,434,726,731,607,956,473,974,892,600,671,
551,417,496,737,311,113,103,305,797,037,397,414,086,810,567,433,983,355,270,
973,576,288,634,133,924,896,404,126,628,352,363,371,990,179,545,487,773,250,
240,579,298,504,939,174,998,943,507,408,883,359,673,647,163,966,518,825,608,
357,150,157,657,494,575,343,385,844,739,260,294,551,470,488,166,244,661,465,
427,284,501,404,433,894,781,465,265,064,341,961,304,583,423,830,155,198,700,
661,070,735,042,979,957,317,939,820,241,835,696,277,895,434,683,095,912,067,
216,861,831,426,563,319,114,201,773,922,344,133,404,971,513,971,443,437,809,
383,922,071,094,783,394,239,642,004,976,674,820,300,710,226,968,811,639,954,
650,141,971,546,301,598,199,259,481,673,718,134,016,419,175,903,002,426,438,
710,210,693,881,778,078,852,669,298,822,470,640,874,373,851,295,058,209,444,
338,785,819,564,698,449,210,824,689,621,560,446,288,681,231,424,500,921,394,
111,104,818,133,584,109,614,486,768,342,403,791,429,216,881,120,401,532,020,
672,412,178,808,454,165,122,106,476,987,601,996,906,819,866,518,847,421,181,
920,075,278,550,955,985,219,716,751,898,988,974,619,861,657,709,532,667,741,
183,539,674,506,192,853,786,757,065,664,215,653,397,111,831,037,922,747,558,
116,013,109,136,178,215,608,563,792,100,745,589,971,180,499,740,345,970,945,
800,063,109,288,044,903,255,782,187,411,641,017,150,723,192,523,247,726,641,
046,439,540,154,191,620,012,598,127,100,857,354,864,126,089,898,430,695,530,
521,464,847,870,884,783,860,722,869,962,754,392,876,114,387,483,032,872,627,
354,222,039,662,496,366,444,723,854,234,175,096,718,786,058,287,556,710,157,
163,252,805,040,762,586,337,470,601,269,756,283,013,753,812,456,631,300,405,
645,922,800,476,948,669,889,527,163,515,001,610,888,810,990,924,857,534,738,
216,780,982,657,739,684,890,219,284,320,464,554,157,805,531,032,294,389,801,
931,693,823,558,357,354,899,665,775,919,942,545,698,424,597,647,680,106,142,
941,887,163,105,089,637,198,801,692,745,568,512,603,925,685,397,394,984,210,
786,276,078,145,744,925,821,452,114,630,601,997,072,833,174,950,752,852,503,
334,523,161,925,367,043,986,598,987,490,998,257,741,421,343,669,009,741,007,
451,703,189,883,443,480,144,682,633,224,080,060,676,911,575,906,318,495,290,
073,091,161,748,242,764,330,025,288,176,235,015,534,038,871,526,937,061,555,
126,720,784,132,791,777,780,437,138,817,950,210,127,922,060,820,485,453,949,
755,737,741,991,359,479,183,000,903,949,432,176,870,597,238,086,003,830,944,
447,604,431,789,981,939,442,463,781,478,339,585,729,312,889,327,164,254,472,
080,508,926,499,327,855,028,973,015,319,360,182,055,502,200,265,049,092,575,
559,557,224,369,430,521,654,088,427,968,704,744,221,707,672,284,548,437,095,
236,590,846,012,254,215,442,963,145,425,900,322,617,873,272,040,466,681,540,
938,206,159,745,111,739,130,978,753,366,317,223,879,658,487,765,775,662,322,
121,241,943,162,183,879,184,920,309,004,640,095,848,657,100,687,996,060,866,
568,306,334,840,785,357,492,056,791,080,468,131,980,029,035,431,383,691,134,
795,277,286,875,300,115,370,652,131,487,662,925,486,937,273,977,464,551,508,
150,812,729,777,480,944,772,496,163,669,280,228,787,998,717,664,631,783,490,
305,634,765,611,409,573,239,350,286,904,044,948,988,130,564,528,433,847,826,
832,264,597,691,204,129,101,353,417,033,684,680,440,156,639,116,055,226,031,
870,922,749,055,392,878,936,326,847,175,984,728,766,021,391,911,736,207,367,
856,722,030,740,744,418,172,632,115,881,729,126,372,594,705,380,241,028,018,
360,079,270,811,958,130,314,428,666,695,868,456,092,588,538,274,068,604,676,
837,551,598,174,995,817,268,387,172,046,737,522,424,099,542,871,531,832,334,
618,486,262,541,595,317,966,309,816,314,353,990,880,125,561,360,382,767,193,
612,297,757,876,804,608,723,665,246,505,605,557,223,161,549,835,472,088,106,
389,979,390,573,379,453,299,166,429,822,037,967,224,695,407,199,071,785,907,
081,027,363,199,522,227,595,610,148,102,033,256,034,802,613,208,554,419,159,
596,017,531,710,269,538,571,429,910,892,685,747,721,555,903,124,810,360,178,
751,703,017,402,710,033,764,754,759,256,618,367,453,031,455,074,345,087,039,
429,509,248,049,945,655,865,293,062,476,577,157,296,808,147,475,369,916,321,
277,457,644,260,378,141,086,654,722,738,823,644,837,816,260,926,410,056,533,
721,070,068,399,945,026,327,378,924,705,403,107,019,851,023,802,009,925,443,
363,599,170,880,469,311,681,287,667,750,849,393,469,158,933,819,381,750,129,
559,078,616,366,751,598,684,733,308,339,002,619,048,433,060,166,279,016,531,
168,969,684,157,135,361,218,752,050,884,563,055,046,294,998,256,528,958,297,
919,456,518,512,839,862,593,497,548,390,593,056,479,854,881,330,583,406,300,
862,720,288,574,939,294,663,918,936,761,670,286,646,303,242,021,896,279,195,
329,397,779,477,153,335,127,423,350,418,547,624,268,857,256,072,910,960,752,
145,519,882,737,773,055,452,851,747,109,418,389,323,664,218,462,016,328,544,
685,097,451,348,186,809,315,473,390,024,929,999,023,304,024,563,302,432,146,
477,807,262,409,200,461,655,831,291,811,571,301,008,723,992,531,669,659,680,
373,913,119,888,542,228,419,718,091,572,585,841,477,371,236,974,833,587,490,
182,298,292,929,366,363,849,726,773,440,441,649,716,024,412,002,972,685,410,
513,981,549,796,157,157,481,044,333,744,158,118,628,176,922,755,912,052,340,
721,273,244,510,773,577,417,993,343,409,161,228,501,513,041,756,969,530,913,
043,730,597,733,560,596,591,338,525,339,757,828,393,259,088,168,162,754,725,
752,425,365,654,285,187,702,759,283,609,799,617,468,082,127,315,055,620,366,
489,480,920,620,331,317,146,476,188,164,679,578,661,525,056,001,633,039,967,
264,663,938,244,372,736,224,146,329,843,307,093,421,040,598,020,125,150,577,
213,726,588,431,747,906,074,661,345,739,946,803,662,136,868,354,400,070,494,
766,886,289,245,585,854,573,387,214,664,436,024,268,895,352,270,627,329,626,
790,568,015,604,132,172,230,325,617,793,434,551,840,094,056,924,111,988,041,
120,784,421,537,660,468,048,330,449,831,854,888,125,718,150,248,473,848,042,
323,482,989,262,281,864,942,690,678,731,481,353,567,980,198,250,056,662,086,
398,080,614,408,137,274,563,866,734,382,638,540,204,411,184,198,614,081,275,
542,144,520,353,362,259,661,388,408,425,885,158,177,362,309,581,908,075,576,
513,724,797,611,509,578,475,521,904,337,747,753,262,580,026,711,218,417,172,
603,280,364,932,177,207,750,451,288,683,940,945,417,046,758,570,033,873,381,
442,731,684,763,832,218,506,981,371,765,038,854,070,712,329,879,398,994,704,
455,913,206,574,813,919,463,489,996,415,610,637,006,182,775,240,568,978,519,
834,261,016,726,290,056,705,105,750,831,445,580,674,022,126,119,854,225,911,
825,224,403,895,877,290,941,021,678,804,317,489,375,420,896,064,699,730,259,
334,661,058,698,521,638,477,868,652,484,082,385,682,812,634,300,466,666,446,
130,163,228,640,847,090,694,272,384,146,014,698,701,017,483,549,582,377,098,
284,043,986,608,553,571,617,903,696,474,628,196,978,046,566,707,081,266,300,
071,954,197,467,644,394,214,976,225,739,696,943,381,855,166,984,799,100,568,
873,425,044,816,737,242,005,286,508,589,046,878,859,033,785,549,654,261,972,
804,721,595,891,707,017,312,398,715,469,462,861,188,544,800,800,126,725,462,
656,094,587,221,768,313,055,118,586,463,197,013,955,088,755,289,683,622,497,
497,412,555,884,966,866,992,839,773,085,742,218,296,096,933,357,099,591,861,
729,787,700,546,942,003,687,345,854,714,513,136,378,425,829,612,888,965,309,
292,863,345,620,725,806,673,331,962,573,252,130,626,107,925,049,831,560,511,
244,114,053,520,404,078,231,464,941,395,595,941,873,635,708,243,607,504,413,
981,783,748,123,057,841,610,521,879,764,384,160,809,638,189,171,221,522,658,
371,175,812,629,584,454,097,062,628,374,814,662,348,413,788,291,914,961,145,
268,015,464,760,615,648,218,742,669,803,660,607,855,231,920,373,652,417,567,
543,610,755,165,838,625,308,892,074,328,202,094,032,786,645,654,980,531,977,
234,198,250,106,955,239,127,136,242,804,797,309,795,529,110,570,626,460,585,
029,512,842,430,336,087,432,936,919,508,089,068,363,973,073,423,194,987,623,
397,016,038,827,794,264,675,371,788,826,726,533,355,373,172,646,053,294,881,
551,262,168,544,619,486,638,914,473,097,360,544,514,077,067,567,354,859,200,
715,586,810,008,040,154,834,088,667,957,434,225,716,986,202,862,497,117,770,
540,826,346,555,436,187,726,928,364,592,712,875,917,443,734,664,604,528,973,
683,388,263,226,599,775,259,176,309,920,980,570,521,192,462,087,536,486,429,
635,480,308,501,900,149,155,973,791,831,703,030,049,228,262,998,713,972,947,
498,422,609,505,827,465,761,668,058,315,132,368,682,001,759,595,184,794,954,
445,783,631,989,494,779,890,979,507,224,694,024,269,030,844,791,497,102,229,
893,514,551,129,192,499,515,076,215,673,569,366,394,758,061,716,260,115,445,
866,768,533,174,500,779,945,252,208,683,293,867,521,879,592,582,696,525,453,
742,257,281,450,135,317,009,818,148,750,014,055,769,066,513,919,431,192,256,
554,131,417,834,829,933,309,911,599,278,601,639,273,774,970,326,134,444,569,
115,402,270,592,329,825,084,282,102,500,974,986,766,602,878,478,039,849,752,
890,194,276,333,862,778,352,781,362,075,591,213,299,829,614,694,616,665,918,
864,531,398,801,020,187,679,573,096,610,985,876,979,596,773,759,747,959,750,
525,478,378,687,718,884,097,439,202,673,895,301,408,135,836,844,909,270,749,
927,698,154,061,431,878,105,978,047,685,823,248,702,645,919,478,991,547,107,
936,656,449,232,517,066,685,371,061,447,022,592,818,482,259,328,439,599,052,
619,534,579,020,541,157,752,532,339,555,735,695,835,878,144,972,478,206,001,
642,209,690,517,488,957,352,546,343,595,913,506,790,518,448,682,288,681,878,
053,338,787,172,724,711,454,611,838,619,415,651,648,248,562,559,685,646,958,
349,442,919,811,113,071,512,372,774,552,375,243,351,120,599,849,968,857,593,
660,499,191,906,854,794,011,843,400,736,185,584,907,404,357,386,496,291,516,
606,679,900,016,401,936,197,735,814,533,285,943,863,497,300,204,635,118,767,
038,378,572,638,787,357,506,275,797,722,013,725,257,935,279,718,429,795,280,
059,268,749,938,181,535,514,501,550,953,630,213,024,987,532,302,712,886,625,
769,521,934,114,969,729,205,988,603,901,984,621,492,693,349,358,794,312,805,
047,910,582,842,845,752,867,016,976,257,972,932,488,322,702,270,673,421,317,
542,559,790,332,760,740,883,632,551,289,672,473,913,271,383,182,189,885,528,
699,067,107,456,039,571,877,284,396,278,591,745,864,704,138,085,116,927,987,
732,848,058,425,096,149,392,226,718,878,163,366,000,531,307,031,940,464,717,
210,815,111,221,949,996,611,594,218,737,632,404,875,830,220,603,604,994,568,
474,056,065,194,501,165,587,013,198,228,536,883,232,652,396,114,632,941,320,
887,646,035,489,830,516,721,650,703,271,157,786,774,892,644,665,182,633,322,
066,520,597,054,452,232,419,572,996,655,003,746,652,970,327,198,999,990,673,
539,876,797,787,325,509,561,541,501,626,151,784,200,761,477,599,555,602,181,
814,045,808,104,333,690,930,092,239,221,111,471,339,911,587,852,709,201,001,
528,549,961,523,165,839,652,025,765,382,693,855,572,061,233,293,251,782,824,
144,576,615,235,553,064,797,803,324,454,237,933,609,304,246,404,116,144,703,
339,683,854,367,847,711,097,550,033,053,054,899,417,146,384,072,410,625,178,
401,491,760,018,159,098,905,380,707,456,471,602,225,163,565,369,848,289,556,
759,619,047,906,626,557,007,004,385,769,053,311,412,661,587,335,354,035,715,
899,632,279,489,651,346,196,522,695,027,871,207,600,332,360,989,299,920,349,
603,616,217,757,012,838,428,284,154,182,095,546,825,058,908,002,187,859,185,
062,026,547,352,121,439,207,420,179,245,977,290,886,677,976,692,377,399,936,
351,303,278,918,594,099,570,618,315,779,748,843,532,536,983,772,189,956,238,
496,938,165,162,047,893,367,490,516,946,947,843,774,019,595,277,584,579,962,
619,612,396,618,994,812,489,033,893,765,397,798,328,515,000,821,859,171,023,
938,365,645,963,104,896,683,418,872,294,333,659,517,729,452,364,773,865,912,
008,082,105,380,985,953,850,607,736,654,720,287,181,307,480,596,769,404,681,
391,897,039,931,459,837,196,841,005,669,113,154,767,014,402,657,878,548,682,
393,107,195,402,226,644,951,047,140,751,607,911,674,829,886,512,132,065,543,
320,827,305,327,906,407,399,702,163,512,721,041,213,446,308,065,878,608,196,
631,572,972,940,706,776,941,587,008,925,237,662,311,909,527,299,453,703,873,
849,419,885,695,446,463,704,615,746,980,733,319,534,407,134,330,124,128,024,
444,522,005,207,427,158,199,577,592,891,103,721,545,189,018,493,520,186,458,
452,213,910,718,294,881,677,862,956,774,014,490,837,555,784,272,619,157,753,
059,316,655,584,828,596,553,480,687,581,904,108,224,032,432,991,251,629,992,
144,333,539,056,018,274,809,014,368,485,053,718,488,830,046,717,090,621,412,
718,795,951,771,922,975,111,457,983,147,472,201,893,499,454,034,441,408,909,
063,805,711,707,580,653,460,055,230,521,285,529,524,129,028,093,342,388,485,
930,655,692,097,696,718,973,912,912,736,955,160,897,895,880,079,657,744,046,
949,172,615,038,750,442,369,357,212,875,599,047,918,776,490,088,445,619,782,
513,671,310,129,444,375,432,194,446,199,209,781,137,360,759,248,428,400,403,
118,938,814,839,301,035,440,504,715,100,913,566,434,496,574,288,463,806,051,
996,007,023,375,526,458,121,681,551,336,679,035,455,717,783,500,386,120,071,
974,340,248,816,139,410,871,978,898,050,802,073,776,028,762,580,821,597,469,
206,034,439,177,368,916,977,680,467,071,100,193,579,372,282,189,266,533,679,
437,939,450,012,961,896,079,152,476,657,797,547,738,293,522,016,883,313,164,
953,005,938,313,836,326,472,508,936,841,552,729,752,983,451,377,384,220,189,
791,655,231,399,807,583,006,601,019,391,758,488,392,586,348,927,572,318,154,
870,996,489,045,947,618,791,244,699,586,270,970,200,332,310,635,868,675,060,
067,890,907,432,260,980,679,184,994,105,881,306,096,258,537,987,815,576,293,
204,759,079,128,578,379,475,430,790,213,239,856,013,986,851,380,184,168,162,
501,551,566,721,125,054,733,579,045,852,402,875,861,265,944,749,749,650,803,
928,677,253,406,334,798,725,217,992,262,303,943,766,098,566,831,011,058,094,
060,007,963,684,044,282,905,506,578,945,757,693,552,654,149,815,766,941,747,
255,817,152,711,105,546,807,650,765,293,107,033,481,185,594,379,501,931,149,
970,588,769,557,204,014,263,437,621,485,837,778,774,069,092,341,700,201,790,
403,664,330,877,755,145,626,053,219,880,844,659,138,636,258,967,925,825,441,
151,912,129,069,031,608,589,905,626,920,141,190,521,421,995,316,073,628,826,
508,606,198,648,886,405,480,654,349,347,747,903,449,657,641,293,690,435,915,
108,687,160,628,693,851,080,564,562,025,700,359,977,333,197,481,573,135,634,
714,394,624,315,231,069,094,456,912,070,938,638,102,657,217,811,995,791,783,
844,503,736,370,331,509,026,523,990,984,836,343,812,829,220,664,969,024,775,
035,027,219,812,044,903,700,777,273,535,859,295,993,677,097,676,870,553,667,
452,210,694,205,150,008,252,502,985,465,789,715,903,919,196,454,413,925,582,
303,997,746,984,995,209,047,339,009,724,662,072,238,531,876,280,743,913,074,
404,893,100,537,077,670,192,741,027,329,440,987,124,265,514,595,536,145,849,
299,475,789,191,503,576,919,246,035,869,836,312,238,630,649,416,164,890,624,
025,159,150,139,590,133,464,240,812,350,897,537,839,655,341,000,172,952,402,
965,710,513,844,012,108,369,997,889,207,520,834,378,159,704,200,824,106,395,
546,517,426,126,891,147,899,689,452,050,351,928,153,251,560,127,557,973,373,
189,444,932,333,866,947,071,706,936,350,749,846,416,711,543,035,760,092,406,
228,891,714,265,048,416,081,253,724,123,443,951,832,074,295,034,831,279,666,
911,361,944,343,320,992,065,385,769,395,584,768,348,855,448,940,301,445,840,
495,200,683,911,822,733,272,033,549,278,383,715,417,909,468,609,466,127,551,
806,435,044,214,774,289,924,532,861,083,982,728,815,525,267,794,276,248,949,
709,048,463,468,080,839,422,296,102,190,228,157,761,905,065,587,428,329,720,
469,292,563,870,363,218,458,979,166,092,551,792,846,422,858,573,775,236,376,
978,867,099,716,611,104,846,509,266,928,056,691,319,067,031,433,575,854,932,
149,505,712,265,420,000,469,167,019,164,519,332,004,082,770,396,690,921,418,
689,153,968,718,733,488,690,912,180,860,168,007,678,105,542,189,564,275,429,
048,630,554,943,236,069,477,531,643,038,499,200,977,352,552,329,422,741,832,
330,918,512,526,492,870,225,420,806,181,858,413,419,217,907,404,642,943,060,
651,360,921,599,603,397,301,290,315,347,375,311,555,889,739,134,666,804,798,
923,349,711,090,215,720,650,195,310,930,551,473,939,282,283,226,515,412,402,
011,806,282,985,970,163,334,490,501,434,255,923,059,823,572,284,151,916,366,
635,247,251,285,518,782,144,307,315,358,666,043,061,108,637,665,784,167,798,
167,992,143,534,798,665,539,903,139,853,337,587,399,208,857,125,051,267,474,
656,759,832,619,073,751,271,205,328,230,787,222,353,566,469,614,738,345,366,
069,834,317,304,864,808,550,162,687,911,502,901,655,692,060,307,085,039,376,
668,883,794,174,192,757,785,697,138,760,086,837,234,645,535,745,918,928,446,
091,417,279,031,065,497,779,886,431,611,425,958,870,553,909,241,899,189,716,
330,966,133,375,747,637,860,134,437,896,361,783,800,058,208,826,462,477,847,
396,786,973,416,938,123,947,064,791,708,024,415,386,569,074,433,268,589,907,
527,483,502,401,881,456,799,989,041,745,636,646,561,439,730,524,011,044,604,
250,471,937,614,061,080,293,882,865,094,255,092,108,113,017,151,946,573,203,
156,682,836,241,417,421,564,561,009,213,057,840,746,463,887,236,212,007,697,
116,858,529,930,766,846,132,534,327,962,680,708,995,212,579,195,179,412,729,
082,544,814,488,935,536,021,711,912,465,043,982,859,065,232,138,599,657,147,
476,659,417,971,226,843,371,487,340,430,447,922,616,870,100,010,114,787,612,
605,496,310,158,779,496,550,213,763,308,498,577,922,761,771,029,095,243,065,
753,824,504,931,599,019,272,970,867,556,658,913,468,165,642,700,467,793,491,
589,023,989,103,978,313,013,365,681,479,902,404,943,105,499,644,747,615,252,
239,984,875,706,654,666,346,010,790,916,583,993,275,382,302,625,123,501,042,
758,620,648,960,403,166,737,722,627,182,684,742,361,291,836,613,513,737,462,
579,356,135,875,588,442,659,359,066,065,514,407,773,584,171,435,714,721,758,
608,592,994,889,915,420,747,055,538,805,717,371,082,403,579,192,766,478,145,
142,485,968,505,581,514,571,919,157,978,993,090,363,852,807,629,921,921,585,
427,086,429,273,090,255,733,830,182,388,094,540,531,060,488,541,008,738,838,
085,109,190,302,036,038,097,523,509,396,928,299,092,030,892,481,894,437,995,
160,870,112,635,364,294,636,281,749,040,920,144,572,514,483,747,696,898,155,
972,741,987,074,784,825,361,579,143,267,137,830,440,076,012,815,574,450,869,
907,074,293,953,895,904,001,003,660,658,016,383,994,044,856,709,269,079,965,
811,548,466,858,759,741,804,057,041,121,117,179,729,853,059,545,682,128,722,
893,454,467,153,390,481,673,090,176,978,841,815,303,927,623,052,114,212,661,
811,751,310,603,562,590,057,748,721,959,588,835,182,326,206,635,965,828,670,
424,839,618,707,078,939,689,105,977,477,046,425,730,351,750,963,477,661,966,
285,188,972,959,107,410,642,246,389,994,060,645,303,412,172,043,483,735,401,
902,874,465,886,165,521,831,491,012,221,262,287,202,149,092,990,091,369,881,
570,940,923,289,263,398,592,265,803,213,195,672,878,921,765,687,519,959,417,
380,379,786,942,969,138,226,562,212,071,940,856,118,811,647,075,910,862,972,
898,676,524,151,627,169,791,356,424,694,218,593,911,862,687,545,478,160,503,
407,410,179,722,509,821,492,975,197,098,866,318,342,206,418,938,036,388,369,
367,675,561,764,100,759,961,041,674,305,842,189,283,206,253,349,423,200,575,
085,201,689,074,998,126,782,401,220,223,853,727,098,023,234,258,541,960,384,
571,772,888,152,529,683,380,840,277,352,397,655,710,657,947,887,472,788,053,
775,128,914,667,668,948,951,540,685,716,405,270,237,020,015,075,215,583,243,
687,637,381,808,074,485,089,738,108,067,252,353,900,274,611,346,068,114,296,
699,398,536,996,138,511,120,115,978,019,889,098,898,694,538,910,099,607,003,
916,327,149,899,394,116,714,979,962,876,842,749,549,272,827,805,053,504,618,
540,444,717,912,664,149,136,484,715,747,681,668,411,782,424,576,969,316,971,
860,838,005,288,712,120,699,000,785,331,164,483,605,407,117,630,135,821,634,
997,451,582,241,460,483,942,905,392,467,511,716,819,519,407,000,355,388,960,
754,599,432,775,330,848,932,975,031,069,247,213,128,627,421,797,295,338,806,
644,545,135,690,821,209,481,571,276,856,421,256,104,812,673,320,085,595,755,
001,866,303,916,000,692,363,676,155,963,497,258,637,773,622,700,450,375,032,
052,933,529,361,226,908,895,203,100,737,394,982,298,622,151,806,319,011,463,
421,407,440,012,872,790,233,137,225,489,800,994,476,006,671,290,014,658,773,
959,645,115,219,784,992,409,346,987,603,507,325,377,341,214,994,407,477,060,
820,070,605,047,696,756,623,972,964,095,760,146,776,335,399,125,103,626,932,
498,936,133,607,400,373,211,872,339,402,112,395,368,960,700,982,863,863,070,
731,906,903,372,703,944,054,683,301,259,277,695,900,448,629,483,090,021,841,
733,699,941,219,588,267,404,914,186,121,290,738,139,717,294,990,846,401,523,
634,284,302,783,878,166,056,161,371,570,511,623,650,107,788,164,851,000,341,
518,438,350,936,329,300,635,037,022,355,336,303,813,286,584,547,149,226,049,
149,461,749,416,474,068,367,758,929,767,421,242,539,950,801,983,869,214,256,
249,583,506,865,221,112,038,637,611,338,080,882,118,660,928,956,503,336,634,
396,984,435,970,604,242,324,573,925,361,110,360,913,600,925,933,600,922,902,
699,425,180,369,837,548,117,217,673,449,336,791,644,616,192,171,701,477,239,
405,701,061,855,009,140,326,649,239,464,821,378,471,475,463,000,162,716,006,
996,544,582,497,393,006,431,940,457,363,726,097,269,681,924,885,886,426,563,
736,948,811,776,847,655,564,491,837,210,879,593,334,929,024,759,689,680,940,
267,612,877,266,554,703,503,370,912,292,675,134,003,903,254,841,681,359,704,
722,388,107,842,771,211,546,047,864,983,637,101,379,918,595,991,258,203,446,
668,108,464,942,973,056,685,953,522,795,766,660,020,636,693,752,470,268,615,
208,734,145,072,234,257,216,906,916,207,107,171,283,254,265,006,177,871,883,
441,844,268,328,556,298,974,096,951,388,145,131,985,722,662,735,351,956,136,
498,495,991,288,230,644,436,468,807,430,092,338,364,137,364,170,727,408,969,
325,002,863,734,649,460,503,860,857,146,978,217,223,454,495,389,598,057,532,
174,258,103,492,238,683,544,466,969,989,400,020,698,516,959,299,586,013,504,
937,651,934,259,133,810,394,094,004,718,558,861,860,768,053,795,330,963,647,
633,853,162,127,877,492,339,915,040,153,712,826,455,378,199,125,372,909,011,
734,287,853,735,186,429,343,986,323,237,690,753,332,544,504,189,347,709,631,
928,689,308,905,219,559,368,362,527,269,361,258,000,495,286,504,712,132,704,
002,998,574,743,843,839,530,267,219,166,978,085,091,975,826,907,167,304,605,
279,587,864,296,377,783,752,725,440,005,596,000,762,031,234,574,912,503,900,
118,347,490,691,049,590,797,185,619,423,633,091,632,767,142,293,259,863,113,
433,968,717,546,076,342,917,875,959,331,239,331,902,965,875,126,485,088,054,
614,170,227,972,740,020,249,731,915,826,886,357,677,440,469,943,027,474,142,
000,452,527,253,451,495,445,829,437,836,611,764,520,326,496,809,025,335,337,
445,187,003,572,083,862,984,602,989,496,265,975,067,366,869,601,553,409,126,
686,412,826,604,402,739,850,158,985,187,093,444,418,977,516,302,334,547,933,
750,192,667,688,220,662,290,713,756,562,454,636,472,183,651,375,883,153,184,
776,779,698,734,247,905,600,293,226,029,829,306,129,192,581,145,306,330,382,
253,444,901,299,012,988,192,462,356,795,000,287,853,695,604,802,986,430,798,
626,659,747,466,804,376,064,214,122,190,230,431,600,672,635,629,823,466,676,
696,028,802,741,110,756,268,577,156,667,216,341,958,970,289,865,748,793,671,
725,539,232,521,403,123,891,737,340,109,901,439,278,632,331,837,650,661,780,
536,754,157,319,824,281,606,984,572,729,704,261,470,827,563,884,253,987,234,
377,710,518,334,660,112,657,219,930,008,020,675,008,608,992,802,607,636,367,
699,164,957,059,071,171,551,223,731,486,708,774,662,629,319,089,085,844,808,
878,827,844,989,037,543,920,562,221,713,008,888,356,083,288,643,349,196,107,
265,726,317,785,523,645,449,829,615,804,305,685,976,400,787,607,623,894,554,
144,232,390,818,020,743,994,944,143,562,892,155,519,930,594,122,212,067,411,
983,133,457,863,377,932,125,892,313,367,507,726,963,156,027,200,253,745,454,
547,716,172,475,017,437,341,039,210,616,371,596,660,901,232,249,596,860,912,
801,033,559,861,906,926,415,231,858,248,867,068,699,309,702,180,657,200,697,
827,097,821,852,393,475,614,670,504,130,982,546,019,758,555,940,116,470,374,
242,128,887,848,111,974,848,789,900,278,811,138,880,764,190,019,492,856,635,
421,358,071,964,967,124,036,190,655,259,352,167,650,109,211,731,442,155,432,
346,876,306,086,913,242,196,345,941,304,987,807,042,179,219,064,420,178,010,
981,333,169,462,091,850,021,227,165,051,814,153,745,331,120,901,894,348,087,
490,992,339,752,772,794,377,082,790,708,246,544,766,497,146,398,521,996,031,
070,126,390,070,262,761,114,366,476,593,068,371,564,605,128,713,564,520,540,
784,510,138,288,615,723,864,224,748,623,245,266,014,556,535,658,903,822,301,
060,087,824,957,781,989,298,022,823,455,991,586,845,735,795,922,771,825,205,
986,297,277,212,718,725,953,249,051,527,884,527,274,411,521,501,684,241,256,
709,214,252,085,969,126,374,141,925,937,405,023,958,344,043,963,558,174,716,
378,508,656,253,677,884,360,634,914,623,134,197,672,956,524,870,358,340,886,
458,059,051,210,184,832,293,923,701,985,772,524,973,764,953,080,414,550,135,
736,727,451,010,664,100,303,045,224,862,417,286,748,537,445,618,183,346,258,
634,343,719,295,651,243,508,382,389,256,641,912,725,901,910,476,833,248,269,
603,151,031,579,712,837,469,307,754,339,661,118,718,115,314,058,261,995,084,
522,345,127,759,600,559,239,168,558,983,038,457,115,610,212,876,961,364,816,
896,684,330,376,149,003,177,392,706,502,452,513,709,469,607,391,834,516,971,
583,658,871,239,772,962,235,935,768,866,556,414,049,480,882,102,274,402,172,
842,759,003,945,039,288,507,090,743,502,481,761,309,745,580,835,745,708,887,
886,358,861,620,990,077,083,805,374,464,825,009,691,084,326,787,397,147,046,
943,716,523,746,852,304,095,058,584,631,090,211,666,216,970,771,941,898,971,
592,731,288,120,177,912,357,887,506,176,659,135,553,029,092,256,614,620,058,
273,120,539,830,567,146,336,535,685,164,648,965,128,785,453,360,754,908,283,
893,110,466,766,280,614,759,287,070,012,677,486,681,475,028,337,540,599,233,
448,580,641,949,272,293,406,739,139,988,401,232,968,580,226,816,108,245,712,
533,347,441,926,621,301,504,193,263,759,702,358,696,112,999,381,979,831,929,
832,943,343,542,636,000,359,062,867,052,652,300,783,036,946,681,735,646,639,
866,829,257,223,942,296,266,174,781,816,596,267,059,329,949,234,086,136,592,
641,981,565,536,198,420,404,856,395,353,442,195,100,639,247,168,907,326,145,
642,679,934,154,647,818,898,721,821,997,322,133,968,527,277,161,627,480,583,
151,133,279,056,893,788,605,935,698,929,136,727,188,328,482,838,131,254,153,
799,134,152,218,079,083,126,448,939,816,686,991,219,992,497,968,966,871,558,
000,332,109,519,630,414,560,137,991,947,884,709,449,859,811,269,868,693,978,
350,196,532,159,763,712,382,758,122,788,643,736,663,977,094,113,560,745,092,
021,269,487,657,992,483,619,865,109,626,307,258,437,584,273,283,772,738,979,
315,378,055,817,657,576,877,448,727,808,909,077,309,515,587,942,643,554,607,
454,037,629,457,385,543,806,667,587,704,531,838,646,348,663,075,820,669,825,
040,674,145,481,523,774,988,522,379,123,780,187,522,567,171,557,084,374,885,
055,342,913,226,179,053,117,541,823,730,496,957,265,279,333,080,687,275,949,
350,778,226,850,209,860,176,982,806,149,532,216,145,755,667,184,126,535,137,
660,339,269,603,806,269,493,749,981,512,996,725,228,765,382,603,138,346,475,
430,929,393,183,764,769,567,670,920,104,608,599,339,625,453,981,881,379,540,
398,457,243,135,230,019,172,215,070,581,866,022,041,428,947,019,633,911,603,
788,309,116,664,983,922,858,454,134,090,649,610,250,203,672,028,678,230,613,
571,224,061,129,260,116,767,994,771,058,621,675,781,584,458,024,875,511,009,
717,566,937,254,178,548,219,106,908,483,251,579,886,649,363,235,995,400,787,
818,706,411,840,253,387,610,034,993,574,463,678,862,366,386,715,244,928,636,
169,835,923,578,561,484,814,525,402,930,189,846,593,245,701,503,706,514,725,
110,249,919,598,829,178,884,784,826,037,422,715,539,570,580,838,964,907,075,
824,157,723,057,390,163,881,013,846,192,223,232,040,014,898,908,910,027,556,
526,625,041,928,984,766,715,095,919,648,871,617,797,882,413,598,685,785,571,
628,387,989,828,043,541,347,268,383,054,830,430,064,227,639,670,212,055,948,
188,902,517,929,802,210,161,787,203,980,528,823,187,562,202,315,802,201,727,
421,194,650,356,064,739,465,632,493,498,080,097,527,098,566,034,137,821,493,
080,465,114,996,541,131,347,747,158,001,440,034,528,252,149,905,482,827,047,
383,150,420,541,742,410,054,104,049,566,838,671,170,439,401,616,692,124,529,
982,193,616,420,932,980,252,967,974,601,488,457,897,284,059,831,208,111,043,
511,125,936,460,486,300,074,990,915,031,249,392,025,003,189,811,388,450,041,
801,646,014,898,685,862,359,174,202,060,673,627,255,104,408,816,331,582,389,
124,538,420,142,441,680,759,048,362,510,135,572,408,683,157,757,301,256,159,
141,344,523,397,130,048,151,603,343,140,745,118,147,397,230,233,424,594,002,
570,737,186,552,124,527,235,879,771,050,020,407,984,582,473,286,459,713,321,
413,373,669,615,607,539,556,798,950,405,145,410,539,834,484,043,490,185,003,
796,704,161,434,996,765,280,320,770,083,568,857,647,863,349,702,020,345,224,
821,730,685,252,265,107,945,163,457,714,759,223,884,663,662,424,202,205,054,
142,963,436,085,086,944,665,813,711,691,889,660,655,809,282,531,126,351,619,
008,750,257,924,073,982,231,991,593,428,326,101,957,957,417,271,284,616,636,
491,473,137,717,466,637,689,428,058,620,061,715,433,495,073,940,501,632,803,
934,616,263,233,607,401,610,182,730,156,167,263,319,072,084,434,335,669,434,
975,354,863,342,734,355,146,803,552,615,359,917,891,288,670,735,786,060,941,
093,777,837,913,055,299,486,783,985,737,202,752,883,894,867,908,119,420,001,
364,806,879,487,206,084,737,705,310,608,144,692,420,591,613,346,018,216,569,
124,397,891,627,331,815,586,230,386,052,113,877,907,115,992,671,031,863,989,
903,000,961,461,502,947,808,351,226,148,623,998,689,160,399,231,335,528,799,
551,992,127,426,072,752,103,669,875,748,687,117,936,837,372,604,463,793,613,
287,588,171,429,161,961,199,765,889,685,756,173,925,155,644,256,827,374,290,
994,881,978,746,108,222,041,466,040,813,842,693,268,960,455,165,130,911,995,
417,364,388,878,038,035,165,976,588,140,098,706,820,184,999,395,543,525,732,
433,576,687,632,774,215,269,710,196,837,944,210,676,636,154,735,787,578,969,
060,763,513,453,685,009,378,952,415,828,686,920,201,730,315,732,944,151,835,
515,267,059,588,564,273,288,913,346,547,346,737,370,398,984,681,933,620,599,
293,705,042,779,303,856,031,766,005,926,232,319,590,474,931,268,761,239,915,
760,663,332,787,948,336,782,921,470,759,349,988,164,528,530,879,639,314,761,
183,300,367,144,333,092,581,263,429,957,497,446,159,907,769,139,059,361,121,
100,988,800,405,514,284,359,887,620,619,600,951,218,849,430,516,721,561,724,
975,962,018,014,614,640,589,738,058,228,058,434,466,096,252,578,803,430,535,
820,328,983,611,717,302,565,983,495,816,791,702,610,464,459,092,411,491,318,
491,111,588,304,852,175,292,029,806,583,727,018,607,745,474,491,249,602,607,
754,654,646,702,179,857,956,326,359,564,892,080,804,006,807,307,365,170,088,
626,131,976,091,259,315,060,954,659,182,820,565,326,625,829,383,524,384,324,
359,079,470,580,201,770,424,838,748,881,989,154,766,770,896,684,319,823,589,
847,749,581,848,045,945,566,989,461,222,881,809,181,856,450,685,649,446,467,
856,874,372,650,399,222,637,745,501,864,039,229,529,853,555,647,925,571,653,
713,527,951,266,389,103,808,882,649,302,749,350,704,386,366,112,954,949,338,
414,191,499,958,335,554,223,434,655,853,068,884,522,277,886,530,130,432,885,
046,615,131,991,277,974,448,387,365,382,682,560,361,017,221,083,029,685,475,
703,538,806,638,268,800,248,176,587,070,151,968,769,879,527,654,749,930,382,
549,143,488,566,048,578,447,114,551,500,047,359,688,898,143,488,686,027,280,
208,975,218,618,918,930,752,940,728,430,216,099,530,038,364,054,250,987,493,
084,845,303,778,704,775,701,225,497,744,933,074,832,366,953,069,781,258,378,
550,710,786,179,280,696,478,346,046,543,917,120,820,189,190,248,218,735,867,
859,641,213,411,481,086,419,169,671,769,064,815,984,583,938,485,580,290,840,
844,576,574,102,253,687,204,693,739,088,702,496,873,924,439,284,394,038,192,
112,406,268,409,183,356,368,292,887,427,869,379,460,119,586,545,472,216,848,
590,774,063,742,884,228,176,726,250,642,089,825,528,588,144,970,179,367,665,
897,896,003,467,267,080,009,859,611,506,628,902,604,713,915,919,031,842,132,
152,320,469,019,148,649,165,563,020,468,501,842,428,225,295,589,129,229,709,
589,378,191,615,289,971,706,043,924,314,500,011,044,770,893,729,021,619,605,
122,723,941,993,717,267,796,435,555,438,599,360,585,915,103,436,640,019,980,
635,636,029,812,024,356,598,061,557,998,136,534,895,610,055,803,943,892,356,
836,848,861,728,625,938,293,366,884,217,115,945,866,186,720,261,545,086,185,
082,869,620,394,582,405,850,402,681,130,373,761,406,565,949,925,738,376,053,
827,435,768,723,249,005,740,451,395,119,285,852,259,438,182,939,528,880,289,
752,378,252,552,947,084,601,424,486,016,120,864,921,060,428,166,260,873,878,
561,209,996,911,513,895,117,334,149,171,338,212,000,512,213,083,942,948,400,
582,713,382,629,121,745,180,523,782,248,915,500,773,346,827,084,367,689,459,
899,261,908,741,444,658,582,522,642,419,054,924,892,734,667,754,554,078,643,
439,667,100,374,326,300,929,106,943,216,118,022,406,040,696,921,899,810,651,
808,375,853,875,565,948,612,025,600,260,052,225,824,650,570,476,242,609,477,
344,635,575,341,622,976,954,569,700,709,171,846,518,021,718,997,158,717,344,
158,548,914,786,547,817,876,032,566,658,125,658,663,468,621,946,847,539,873,
222,071,638,371,157,969,092,718,134,451,942,208,953,096,034,021,098,624,187,
515,308,722,431,477,760,106,533,857,344,435,060,124,427,164,396,044,557,171,
797,977,237,111,175,016,376,774,898,084,608,995,797,277,934,055,543,421,303,
773,684,539,110,018,459,274,814,306,426,626,518,360,443,791,791,137,938,332,
131,861,731,038,304,336,194,320,259,760,894,463,752,028,651,787,124,156,265,
315,980,061,996,131,534,235,817,011,176,051,642,913,586,190,267,723,188,231,
866,030,911,576,502,101,796,132,566,062,049,865,234,406,954,967,248,082,687,
013,916,524,034,544,162,625,601,048,503,822,629,165,630,381,715,651,743,254,
338,352,739,883,914,924,152,859,458,808,746,688,571,553,924,650,756,611,354,
810,756,351,454,226,084,545,016,696,253,397,445,427,421,758,613,938,486,535,
975,509,505,084,192,723,734,724,617,655,857,969,468,207,302,453,069,541,412,
253,710,374,595,846,786,706,648,027,242,582,755,916,282,412,902,338,443,807,
871,354,443,802,391,143,813,255,733,601,893,485,925,895,355,112,586,280,359,
116,622,375,084,940,998,533,102,984,843,052,740,710,211,430,113,218,462,796,
275,535,566,484,781,984,594,349,064,504,178,254,369,672,933,418,936,942,653,
934,119,737,573,445,986,176,566,527,635,763,498,756,907,334,796,910,617,924,
500,660,054,872,803,414,355,604,111,253,494,204,490,342,695,986,280,882,001,
645,986,085,226,633,627,695,408,067,905,216,120,819,619,592,767,671,568,673,
054,892,842,297,698,812,818,522,164,662,457,299,188,174,373,748,340,987,094,
158,078,010,482,238,383,748,931,789,703,799,721,043,990,384,210,048,790,424,
004,551,862,902,043,799,979,429,485,746,296,618,442,166,463,660,463,553,822,
513,437,142,077,105,084,095,270,095,835,371,379,941,102,571,228,569,289,413,
719,224,636,370,640,110,127,694,123,096,875,913,653,047,762,088,343,010,360,
014,723,942,800,613,548,278,580,220,795,428,247,597,773,643,359,513,613,104,
866,035,106,050,185,819,993,668,080,891,329,719,331,774,905,706,465,781,425,
307,422,627,315,665,033,670,103,817,515,824,578,636,342,304,254,010,149,477,
274,488,048,451,271,150,233,492,204,113,610,052,353,514,100,703,117,341,828,
229,421,581,184,539,060,804,328,660,618,953,966,453,149,038,815,695,032,968,
030,759,959,975,235,716,078,999,746,921,571,262,870,660,662,633,051,308,544,
129,340,422,530,850,374,829,013,293,841,569,279,447,373,843,108,701,753,131,
401,369,907,859,806,388,599,534,184,139,429,584,737,708,226,723,752,963,367,
052,555,442,999,801,943,562,662,647,994,695,090,044,645,105,692,359,081,893,
539,441,993,465,435,417,584,540,437,152,529,252,959,993,505,436,352,975,400,
108,874,965,022,646,950,488,532,024,007,240,836,086,925,671,152,397,068,963,
375,179,182,641,937,544,235,230,734,676,485,514,664,488,874,371,677,104,212,
672,007,509,713,055,309,851,788,247,197,910,592,298,226,137,553,465,661,306,
946,214,846,490,973,342,439,733,489,400,549,453,770,189,791,284,996,846,314,
849,938,108,219,596,095,782,203,216,264,290,431,400,715,503,738,393,150,208,
715,368,730,103,520,786,872,074,165,978,220,768,686,883,574,931,095,024,255,
182,183,037,073,289,250,368,485,873,288,187,267,790,566,772,333,999,551,519,
386,247,418,890,672,341,814,313,352,306,644,060,037,181,557,313,371,638,829,
675,705,657,525,471,223,735,659,717,144,702,704,882,341,869,518,773,039,125,
773,726,087,797,424,929,942,686,292,859,374,606,801,057,998,832,791,563,379,
589,301,193,583,410,838,274,235,083,534,760,151,948,278,953,721,961,035,700,
276,986,568,062,056,236,899,373,970,398,304,110,513,641,994,460,559,668,311,
634,216,428,992,051,522,982,406,079,053,806,921,364,646,281,251,530,765,700,
912,830,212,695,512,979,735,699,150,632,995,089,606,428,125,199,158,845,605,
940,351,550,440,510,770,514,076,618,530,029,995,316,338,132,813,675,429,664,
830,410,280,163,746,070,309,528,791,052,394,797,603,857,543,009,807,429,483,
195,746,532,382,190,118,069,139,988,811,887,393,131,716,056,026,297,318,072,
947,114,878,574,703,204,199,685,771,837,756,800,682,308,692,914,729,565,607,
909,371,367,948,235,850,308,933,416,624,421,415,702,967,872,822,988,953,698,
499,783,807,039,838,526,959,191,388,774,095,733,082,844,849,453,605,740,777,
303,830,636,696,346,157,883,855,830,720,826,150,503,539,335,611,468,942,777,
602,343,326,243,152,043,393,368,289,651,534,216,809,828,038,078,069,574,379,
492,031,507,453,121,939,594,206,420,320,157,882,297,860,337,029,504,595,829,
896,913,170,779,066,802,240,063,240,907,327,143,649,792,440,091,436,578,082,
859,267,947,286,419,004,957,617,472,752,907,703,737,246,186,837,969,680,233,
066,495,297,210,507,000,071,791,468,197,488,982,517,328,679,417,788,133,648,
201,472,647,902,761,748,993,161,166,695,475,097,322,729,819,980,970,947,594,
002,173,017,277,568,658,861,947,929,410,177,723,982,880,239,474,359,889,623,
370,397,913,999,539,527,355,127,009,667,547,196,851,304,734,952,641,566,129,
309,059,194,734,084,794,066,936,370,895,354,931,982,915,617,065,056,841,137,
049,176,552,612,247,542,950,005,626,611,353,009,529,120,845,342,964,508,865,
862,850,866,539,494,904,271,117,894,992,666,385,333,912,829,242,516,868,512,
650,420,207,448,920,285,857,209,128,067,380,971,517,632,699,197,558,565,064,
014,922,131,670,467,172,563,789,227,559,370,343,083,929,563,031,086,023,419,
208,962,517,326,919,501,998,896,070,063,725,932,608,329,326,320,703,675,674,
397,973,281,184,342,769,917,784,743,143,970,129,191,000,268,484,763,821,161,
331,700,658,976,080,215,116,205,528,178,084,087,966,174,391,551,111,053,435,
822,407,109,574,233,296,124,244,887,883,462,272,465,337,645,993,402,454,096,
260,434,560,505,799,291,811,964,423,645,941,975,387,830,459,949,955,165,234,
450,528,772,927,206,815,510,235,787,463,182,757,435,385,465,240,631,288,995,
143,181,072,090,653,985,225,670,867,573,176,383,110,754,500,376,606,940,898,
217,607,987,710,330,937,413,062,548,975,380,535,653,005,953,722,326,564,485,
124,087,263,761,350,970,548,838,048,013,278,820,767,549,901,803,845,080,494,
626,367,843,438,085,098,485,533,400,710,495,615,279,945,536,422,325,399,972,
966,670,310,313,843,321,385,358,648,099,867,017,451,851,386,258,185,973,709,
609,610,414,295,337,120,432,348,425,416,216,024,712,114,141,273,644,208,840,
346,564,009,422,416,422,951,725,102,876,503,755,625,508,511,117,342,227,648,
652,541,737,890,619,232,607,128,048,779,898,502,648,906,069,713,394,248,219,
939,363,792,794,887,179,741,348,381,339,448,598,063,091,652,756,564,056,854,
381,353,292,015,354,837,954,692,489,678,991,975,707,377,700,852,899,045,529,
746,266,792,523,276,143,103,777,303,322,944,086,956,097,776,417,035,107,713,
861,040,767,455,861,869,540,930,284,795,221,330,416,077,651,059,518,284,841,
062,389,820,534,154,126,371,114,074,075,208,943,876,823,514,159,448,683,267,
616,723,144,948,651,383,972,935,020,590,977,298,961,357,908,649,098,180,418,
941,265,265,459,962,664,367,609,032,951,553,127,088,630,313,474,020,431,181,
759,453,695,171,252,585,658,152,436,848,293,793,832,520,265,321,502,195,676,
791,916,027,511,278,741,195,186,668,192,224,489,354,443,187,622,987,847,519,
601,729,306,426,287,121,902,369,219,797,274,683,398,685,152,289,212,971,231,
111,493,263,226,976,878,944,801,922,436,199,087,487,568,467,946,564,232,235,
444,303,133,065,908,934,631,726,030,044,815,017,891,758,103,087,860,291,834,
494,063,505,110,570,742,750,741,326,908,701,297,651,187,422,780,584,104,193,
375,721,579,497,448,028,509,279,675,110,342,207,768,927,718,455,559,757,646,
394,813,563,096,174,605,815,992,802,242,588,747,297,957,470,762,774,482,517,
840,910,340,208,225,475,943,265,765,158,063,699,467,336,106,529,355,805,724,
544,362,264,344,759,038,731,935,364,353,399,335,444,056,229,112,090,787,099,
661,371,490,274,081,410,836,414,717,897,996,430,428,229,988,848,700,793,657,
188,263,634,773,107,977,155,914,447,277,818,192,268,039,774,412,933,118,741,
880,823,650,727,359,827,861,405,706,510,067,169,101,530,546,570,467,161,052,
520,392,347,006,323,962,061,080,790,450,826,018,510,935,702,293,725,006,703,
364,713,194,931,668,005,469,054,194,346,033,680,282,755,303,506,099,168,672,
775,446,822,233,378,050,851,956,995,745,761,364,245,969,473,213,128,884,107,
624,527,935,907,011,981,989,860,663,695,644,161,447,051,368,480,558,874,205,
399,313,392,853,024,528,510,487,002,060,002,780,339,036,243,627,705,853,810,
036,143,433,342,465,223,893,529,050,779,637,124,263,152,710,782,524,705,317,
349,323,799,795,143,368,049,439,138,659,568,053,239,055,995,902,794,336,405,
594,358,183,320,780,500,958,650,180,325,722,720,972,605,665,698,171,248,551,
595,001,234,740,316,741,785,561,924,380,543,128,578,673,415,668,165,092,841,
707,470,834,615,497,101,891,639,887,999,651,556,460,053,576,748,697,721,731,
980,521,826,759,889,549,507,053,694,366,265,679,197,596,779,945,607,517,883,
095,273,227,196,605,534,632,040,430,199,167,890,349,578,931,540,773,382,595,
524,178,741,883,522,286,837,121,706,640,307,353,255,653,466,000,373,296,897,
550,820,480,248,195,743,643,886,488,890,000,437,581,142,333,747,640,382,843,
647,892,234,079,678,012,073,440,209,250,500,751,747,417,461,036,593,338,683,
648,917,794,585,943,404,013,069,602,698,908,305,987,221,067,703,726,091,837,
667,580,180,826,482,637,812,277,352,193,875,772,193,362,396,303,847,658,571,
668,499,306,399,142,444,870,737,527,632,919,428,168,113,536,891,533,263,867,
768,505,384,725,308,706,919,091,851,872,629,818,540,016,621,990,569,316,445,
042,987,180,995,997,619,913,393,320,700,558,577,449,733,412,349,170,840,982,
401,747,490,490,799,387,949,334,827,664,396,342,882,734,825,438,238,092,488,
890,548,221,826,757,652,957,289,176,704,786,257,273,331,048,208,186,287,991,
635,753,998,006,960,637,127,052,140,385,081,084,875,140,928,857,810,604,269,
859,411,397,668,481,974,737,053,216,495,053,720,614,376,610,475,928,329,860,
579,030,542,827,163,955,497,710,511,301,087,209,989,632,370,762,580,526,363,
855,901,084,273,676,851,374,495,503,166,669,719,946,116,345,682,479,688,267,
575,022,295,708,510,742,856,159,530,681,914,770,142,540,543,768,630,617,170,
108,215,008,442,943,063,223,082,624,775,815,737,047,825,990,604,733,424,244,
721,695,615,954,166,967,070,173,692,696,262,428,397,172,631,496,893,066,501,
150,087,780,820,852,656,321,635,884,747,049,694,666,408,120,723,062,663,317,
608,373,310,675,180,320,800,071,146,207,151,469,015,639,752,622,195,877,892,
374,802,933,500,429,067,467,854,592,800,844,554,026,928,899,264,394,722,440,
982,906,903,163,164,898,128,724,255,605,387,456,188,527,130,850,280,078,319,
604,098,395,238,104,035,840,563,871,299,217,606,035,139,520,745,671,758,309,
704,612,863,938,940,510,539,406,947,036,817,219,823,641,701,843,048,323,851,
797,106,048,860,180,132,566,878,482,052,543,813,555,721,604,582,406,885,480,
605,275,807,543,438,201,586,834,161,107,599,989,001,059,526,404,457,729,560,
640,799,098,761,291,018,944,036,516,975,941,925,440,673,214,710,266,750,591,
203,596,659,216,594,521,689,547,011,715,157,387,687,936,609,011,120,270,491,
762,304,877,176,858,278,331,271,722,885,941,404,745,578,728,137,425,209,877,
763,040,814,312,293,379,266,886,563,709,016,112,068,527,943,141,466,141,146,
554,063,005,985,602,486,725,563,980,895,163,537,945,488,634,468,041,363,282,
702,022,871,686,071,776,555,158,494,399,231,985,451,569,242,793,863,048,806,
506,921,602,081,753,488,986,413,432,697,106,115,951,628,284,640,658,164,130,
339,771,918,516,157,253,557,480,176,990,657,748,907,697,197,137,811,761,348,
882,858,841,310,400,145,575,536,614,493,462,254,962,510,100,551,464,229,199,
506,043,992,741,822,916,780,703,626,135,208,669,946,188,253,214,896,220,425,
501,037,603,461,763,764,251,437,293,602,536,865,154,458,642,240,149,692,114,
987,501,716,255,321,871,462,827,272,452,639,259,551,230,075,079,700,435,469,
569,409,145,218,590,531,031,734,138,698,877,205,503,539,252,408,333,850,572,
300,129,992,788,414,500,953,274,995,640,080,243,477,687,649,254,664,779,561,
498,392,546,111,254,868,730,976,539,273,398,942,104,856,735,363,772,287,343,
099,129,187,024,973,360,090,852,190,117,082,783,362,570,672,782,648,077,507,
965,560,788,712,276,493,697,755,351,855,415,132,852,928,469,261,473,358,447,
411,556,237,462,171,050,475,155,190,359,804,552,963,545,852,514,426,323,020,
881,898,276,186,830,005,979,908,462,157,260,568,560,621,778,715,268,639,946,
359,837,131,025,245,669,249,439,763,947,395,375,121,716,739,120,970,961,363,
719,159,815,445,273,208,937,236,142,240,408,242,574,594,020,904,185,404,005,
401,463,089,329,375,884,653,574,596,969,694,963,116,414,234,054,536,362,685,
157,424,348,374,801,138,033,831,441,101,690,277,674,664,459,702,975,026,896,
333,283,926,982,962,355,702,042,466,748,771,802,892,264,496,106,165,546,668,
528,780,369,051,823,499,169,806,107,198,418,891,019,929,651,580,460,568,961,
879,045,038,652,509,535,591,466,257,085,637,011,747,015,993,378,771,937,904,
996,926,694,048,103,796,634,079,958,481,704,259,947,558,243,425,589,601,514,
656,992,292,942,622,096,356,463,940,256,291,517,108,499,681,416,593,209,483,
244,443,472,962,614,211,490,155,118,726,150,436,412,517,979,606,603,065,527,
763,779,571,711,662,337,372,183,414,352,039,656,052,565,935,372,120,829,055,
472,525,220,298,397,183,264,197,322,712,198,620,035,472,612,108,162,226,456,
337,520,025,754,976,250,009,699,121,750,951,737,440,923,161,741,363,629,817,
942,703,795,611,350,413,246,901,939,239,887,384,293,362,698,250,256,932,941,
016,804,623,290,016,516,856,059,138,528,479,800,609,503,988,919,081,812,268,
840,768,723,787,027,310,256,748,826,784,186,264,294,344,209,766,802,885,317,
728,391,069,249,629,438,177,576,856,977,627,896,610,888,570,104,608,917,049,
963,218,328,943,080,745,215,533,888,187,940,701,488,592,784,650,403,887,113,
302,707,945,161,592,033,485,875,432,200,905,967,768,370,841,301,979,238,434,
209,922,207,590,733,106,578,066,974,147,380,747,752,855,787,476,892,706,541,
121,642,876,438,480,942,035,631,859,519,706,743,889,460,600,215,864,375,209,
292,890,091,987,817,010,224,870,982,889,421,883,151,691,029,173,784,031,595,
117,003,438,340,751,001,941,511,390,164,165,473,302,265,475,999,658,251,374,
096,953,231,426,174,621,250,178,998,194,509,965,641,174,043,549,153,561,800,
851,225,372,049,114,107,486,788,137,056,296,387,980,378,693,549,905,780,806,
599,398,124,166,860,112,724,652,485,315,247,911,275,612,028,068,188,429,558,
068,039,031,157,947,043,492,483,211,822,901,626,998,684,001,972,680,026,265,
983,678,642,116,284,780,513,977,822,824,050,147,954,702,189,449,926,818,421,
853,911,289,903,762,654,511,389,699,818,491,307,653,642,650,279,341,777,078,
028,293,655,488,961,888,310,509,502,645,500,403,138,840,820,108,023,195,224,
127,571,845,502,757,702,673,498,571,336,583,498,437,290,414,181,271,845,475,
674,430,447,117,050,665,569,849,987,651,342,793,776,327,707,348,050,136,009,
259,616,729,254,598,343,233,724,249,336,690,219,605,729,891,291,788,870,511,
362,590,235,649,644,093,985,579,188,563,343,720,157,427,930,929,183,339,974,
304,437,283,658,616,867,375,280,230,508,755,481,672,816,024,944,000,001,738,
137,351,868,838,557,848,449,859,967,288,600,631,489,288,016,786,161,876,151,
464,931,020,402,258,984,636,946,997,691,137,979,837,534,660,947,313,371,967,
529,227,035,787,703,072,195,223,194,195,947,924,404,170,552,525,928,084,240,
077,175,350,027,808,592,106,661,301,471,793,651,007,649,991,196,365,828,029,
221,300,754,989,032,071,368,882,885,651,074,685,581,479,466,200,987,956,238,
417,771,296,259,425,395,114,252,942,716,548,879,229,159,859,349,364,998,828,
883,311,255,024,900,156,529,116,044,571,730,453,933,439,571,217,431,921,519,
020,414,873,800,709,173,725,676,898,071,101,776,471,735,740,539,959,083,056,
255,534,074,031,066,532,227,460,044,508,117,734,124,666,707,111,206,679,779,
090,750,144,320,619,761,116,579,983,551,815,067,889,008,570,277,910,449,588,
910,939,482,060,295,910,245,748,170,769,590,530,244,729,358,631,683,039,668,
762,617,936,003,542,701,197,454,705,131,035,385,290,285,027,341,284,695,662,
479,788,510,623,727,281,125,689,991,946,914,202,185,376,582,223,085,908,239,
907,604,445,788,665,888,831,263,713,093,221,027,359,090,279,937,997,207,126,
927,975,111,057,475,516,439,732,180,233,100,581,968,798,029,777,495,334,004,
245,629,759,297,371,845,198,909,368,734,803,846,116,780,492,135,577,524,196,
041,597,977,613,384,872,075,196,258,947,131,065,028,176,777,327,471,968,159,
152,928,469,113,715,645,899,621,733,228,605,603,149,863,300,873,001,705,419,
954,436,607,328,866,966,912,135,218,254,087,147,298,914,602,917,360,745,457,
565,736,450,983,110,335,777,827,692,365,569,155,887,016,029,385,151,069,989,
780,211,662,639,715,806,191,599,691,489,037,607,092,466,623,073,942,945,368,
810,199,005,428,367,278,163,805,270,297,903,581,975,981,230,144,423,992,267,
010,656,778,043,395,213,502,293,317,798,188,351,788,211,998,023,343,818,374,
859,430,741,203,020,748,079,477,614,933,567,015,996,607,227,741,764,408,664,
439,352,151,912,818,434,373,319,769,043,683,899,836,569,295,990,921,902,801,
441,493,782,334,375,683,701,624,423,663,231,487,943,067,490,638,527,250,682,
262,653,864,570,252,731,636,539,133,969,240,126,236,993,300,567,691,771,359,
300,050,918,360,628,690,117,614,556,733,761,939,839,259,120,016,803,831,020,
890,227,888,846,437,218,791,357,231,019,649,616,671,392,451,848,371,957,297,
978,512,641,764,775,756,085,812,742,974,270,283,841,655,800,688,650,046,158,
886,332,170,390,404,805,894,340,388,244,177,306,370,719,599,677,669,343,802,
085,505,447,756,018,626,674,918,330,861,773,620,889,496,271,931,898,305,374,
942,099,073,766,409,370,719,222,967,875,725,832,879,644,554,316,671,760,199,
014,431,788,590,216,681,816,085,429,632,496,829,649,953,292,193,202,628,024,
766,304,354,797,830,432,494,340,107,512,642,296,752,749,225,804,918,914,685,
137,707,369,130,524,770,454,121,945,250,183,411,421,932,561,611,477,779,693,
485,534,010,754,236,440,023,895,670,925,337,679,586,042,647,585,650,976,856,
479,137,141,479,485,497,183,720,143,792,801,713,829,338,325,867,162,173,301,
574,004,406,093,223,391,631,400,101,772,846,458,396,217,970,426,908,787,824,
758,660,483,202,453,160,123,904,690,931,906,551,709,222,957,884,352,569,103,
880,997,299,666,517,856,719,059,640,649,086,123,796,249,767,538,387,318,883,
017,728,718,934,288,119,189,132,471,721,599,186,902,297,614,976,276,825,672,
728,748,156,023,446,809,881,846,060,116,190,621,499,000,176,006,506,103,277,
386,232,644,748,348,256,892,644,867,833,648,534,035,356,711,476,147,847,285,
999,207,495,897,188,430,588,098,539,338,141,000,198,894,717,422,927,190,033,
783,584,779,036,467,834,982,165,537,397,746,894,280,955,231,952,262,152,129,
736,092,473,149,921,969,476,427,370,032,706,279,249,537,709,946,565,576,932,
776,525,840,725,699,267,391,353,271,882,551,145,463,107,076,574,595,351,233,
174,234,949,135,529,699,957,396,996,927,105,324,666,995,387,159,117,555,569,
806,827,018,273,643,303,750,648,910,989,059,651,866,064,639,463,046,060,224,
735,314,720,366,154,451,850,755,831,472,793,235,634,374,017,707,537,634,205,
206,953,583,141,607,146,074,836,378,906,472,661,838,759,036,776,700,675,994,
879,335,272,817,922,606,720,823,364,233,542,063,761,483,135,706,377,590,981,
473,376,053,370,663,698,871,799,739,334,659,781,625,754,036,133,641,344,545,
941,773,396,184,737,215,548,733,947,915,977,612,797,716,711,062,908,321,791,
185,185,612,987,895,794,553,034,673,459,106,924,549,323,303,127,550,638,619,
468,881,493,029,458,443,963,319,340,247,009,424,318,214,159,700,475,524,641,
630,325,087,626,984,635,822,962,843,319,961,326,640,378,044,382,074,425,491,
430,918,419,083,100,097,435,267,496,209,427,538,812,340,731,287,029,650,562,
998,575,479,863,618,157,895,198,947,104,344,686,668,629,015,494,982,749,771,
497,681,494,077,711,965,719,496,030,173,195,754,964,393,408,062,933,646,268,
253,764,255,926,603,825,440,727,162,771,916,772,107,847,783,642,158,571,646,
593,148,473,225,274,037,511,883,771,423,264,205,137,997,347,369,230,751,386,
518,004,613,001,087,295,160,726,792,223,117,397,357,075,581,778,137,058,202,
646,628,281,634,640,342,091,659,954,624,812,452,280,023,044,916,476,627,878,
450,361,305,508,079,014,837,148,402,562,867,176,527,157,502,745,289,862,957,
613,568,738,453,054,027,029,290,420,284,099,530,534,306,182,374,462,106,925,
015,784,823,844,272,701,842,193,207,877,854,481,549,095,942,041,481,316,263,
934,831,544,804,475,552,418,019,845,189,252,399,504,714,716,284,834,404,213,
918,118,275,194,999,353,160,743,073,823,410,044,575,180,730,311,896,677,634,
110,811,252,145,684,343,491,822,861,231,128,947,450,382,972,387,924,745,480,
465,296,980,359,552,029,434,402,048,479,677,460,216,133,012,356,915,299,468,
829,362,452,512,101,931,864,634,393,672,004,209,631,729,089,972,631,718,554,
550,550,691,108,814,763,342,942,678,320,415,963,157,085,123,394,572,325,669,
827,232,873,882,234,443,724,285,810,803,921,000,293,387,377,014,756,175,550,
387,806,937,613,849,027,376,608,765,571,428,606,388,912,349,184,440,393,739,
472,233,272,514,237,913,691,466,688,220,616,968,208,955,915,825,162,259,039,
196,822,948,541,585,610,457,770,942,562,593,630,670,433,538,079,522,615,725,
418,701,595,711,944,717,612,506,407,322,976,677,412,686,159,715,070,777,024,
531,615,030,293,334,653,055,727,871,658,261,149,351,155,822,896,013,591,145,
676,865,697,100,193,094,437,226,554,649,405,298,934,504,188,715,427,416,591,
526,753,245,503,278,162,636,609,131,304,017,752,152,836,780,930,232,111,899,
997,013,712,548,866,982,626,664,305,366,593,298,077,517,124,776,448,202,891,
376,941,870,523,938,186,172,783,459,760,184,715,395,017,169,551,853,517,964,
776,765,693,702,325,095,316,612,491,997,400,070,449,438,037,138,351,245,507,
566,602,948,678,686,500,540,837,987,079,652,287,420,362,815,713,717,236,059,
175,999,882,552,170,915,835,455,361,565,114,571,715,916,199,393,344,553,787,
575,980,517,879,952,643,716,210,693,455,413,141,868,374,317,016,644,797,391,
831,685,222,182,693,204,249,173,648,990,932,225,037,825,385,635,022,716,199,
893,486,302,007,193,752,365,997,280,268,662,100,046,007,153,114,897,012,806,
212,812,899,067,640,805,446,822,572,673,453,467,146,249,638,798,558,997,044,
293,367,551,957,206,716,959,469,466,523,489,987,126,551,892,311,524,199,566,
073,794,082,969,431,705,264,325,952,767,491,358,376,562,741,377,475,891,723,
808,160,896,607,775,685,659,331,961,556,865,778,921,065,827,286,547,487,691,
304,795,503,384,894,110,106,143,031,212,104,169,701,101,596,779,336,086,445,
744,614,487,567,495,973,115,078,137,682,344,288,996,582,942,555,536,746,528,
666,920,511,624,476,419,293,665,123,383,573,979,825,961,847,593,768,981,579,
704,799,777,978,593,390,659,076,738,617,039,913,207,762,907,417,035,018,073,
267,698,548,233,926,004,442,941,846,669,059,237,892,134,558,753,184,068,099,
562,937,635,795,411,324,258,427,560,387,768,594,733,496,563,405,498,964,985,
605,858,590,401,834,642,011,872,150,401,393,284,916,260,919,319,652,981,227,
899,385,015,095,614,722,643,544,799,267,665,775,947,923,851,413,100,605,478,
304,398,805,262,372,211,558,039,135,024,335,662,440,606,691,208,422,238,620,
881,470,859,056,148,841,401,645,563,035,753,982,902,453,967,112,071,911,382,
704,404,899,653,331,553,515,569,414,129,677,474,447,007,482,908,788,353,730,
994,041,463,623,664,806,905,684,895,649,204,505,906,592,595,772,576,163,159,
244,190,295,004,953,730,372,455,561,303,338,366,530,726,215,513,576,131,336,
078,102,323,386,011,993,300,397,064,625,694,209,268,546,587,197,043,088,170,
531,530,671,237,195,092,146,744,435,030,523,871,824,886,201,973,805,544,582,
548,210,201,773,785,765,853,491,258,332,408,401,301,166,246,266,323,765,857,
766,752,139,268,257,498,992,115,543,536,297,330,402,069,750,418,058,170,805,
751,374,902,507,721,814,112,451,883,151,559,971,789,698,220,136,588,113,494,
999,966,141,938,144,224,625,484,192,961,960,679,400,023,756,712,484,745,156,
944,872,889,957,699,900,070,565,009,963,322,413,674,409,266,121,761,465,783,
485,968,447,041,295,114,152,655,052,004,753,965,952,303,037,104,653,229,994,
409,561,801,990,059,801,783,909,849,545,947,150,259,268,582,617,863,090,459,
491,334,630,738,167,873,457,128,105,778,074,176,517,788,120,065,947,867,965,
377,233,660,326,594,210,407,158,699,602,557,267,387,799,895,767,580,676,481,
137,390,462,660,325,705,011,573,760,157,363,896,177,498,559,713,094,527,368,
867,848,080,156,884,207,203,379,592,408,333,925,865,224,615,884,218,032,628,
892,106,638,969,072,873,278,050,368,142,905,190,763,537,734,027,512,819,397,
672,672,445,778,068,907,260,445,393,030,681,340,343,749,919,527,800,321,186,
746,787,301,122,825,009,985,962,804,458,419,073,244,722,872,784,988,144,261,
093,613,692,543,750,017,099,407,229,817,374,473,078,209,828,618,335,693,179,
096,474,809,229,682,483,650,121,853,496,137,402,772,454,268,448,432,740,443,
281,955,752,120,148,147,645,999,835,058,545,190,368,913,404,578,353,046,357,
005,050,977,478,224,607,878,017,820,041,022,063,408,377,745,943,132,168,608,
432,395,166,245,981,380,898,236,903,711,955,139,916,268,941,070,015,648,051,
011,289,914,006,393,752,586,112,873,776,893,777,328,177,082,558,558,660,489,
397,478,400,070,195,374,517,702,033,275,443,216,694,569,507,794,574,735,180,
551,474,014,201,775,979,393,928,586,325,156,390,273,032,059,557,999,626,766,
613,241,182,460,314,805,315,916,376,196,743,914,197,066,633,905,665,795,302,
052,831,577,679,075,632,637,954,847,169,257,805,853,210,267,811,197,973,118,
431,391,727,041,018,980,542,783,306,960,522,685,165,347,462,041,614,025,194,
486,378,851,132,382,023,133,784,427,154,910,352,899,361,233,964,561,103,793,
866,950,578,193,431,245,221,830,278,511,061,592,738,668,427,452,554,168,221,
961,503,762,772,741,125,912,575,382,274,753,495,294,152,350,268,993,953,730,
318,282,044,561,206,793,536,723,971,596,424,354,670,539,095,661,072,462,048,
424,183,064,425,762,569,714,352,648,742,034,897,719,066,739,456,756,001,552,
841,266,560,946,146,469,283,765,838,539,974,124,390,116,283,517,201,163,276,
246,801,267,433,267,971,545,258,407,218,147,844,858,377,579,714,922,110,502,
200,174,151,621,452,565,706,088,027,672,469,902,062,407,098,996,232,251,175,
322,409,731,898,107,978,203,236,283,344,529,365,491,750,456,106,945,719,379,
219,939,937,020,912,543,190,688,851,983,104,804,188,542,447,118,510,668,400,
837,256,978,110,603,822,063,264,901,418,819,163,710,503,462,978,408,825,239,
060,513,026,459,323,469,273,595,241,188,493,753,786,431,267,913,093,874,807,
005,083,934,839,016,312,114,008,441,010,054,957,455,310,244,031,538,599,621,
091,809,517,449,092,847,781,087,819,564,282,680,142,340,231,025,931,516,537,
958,959,320,281,596,098,341,771,908,523,853,644,504,043,702,701,623,994,806,
068,182,116,682,149,422,471,347,512,789,418,406,669,772,990,761,274,556,391,
490,282,046,843,151,223,295,983,778,151,381,743,306,450,686,562,396,978,022,
926,805,077,921,997,436,200,791,085,640,897,197,878,209,217,225,037,882,988,
008,899,984,708,226,389,503,365,258,993,852,014,359,479,506,603,614,711,887,
640,763,772,658,271,990,347,314,520,999,508,448,047,479,812,727,366,513,923,
279,357,367,412,589,714,707,050,051,356,232,781,974,708,820,503,890,842,852,
666,796,737,489,624,572,164,750,232,507,995,472,184,287,894,803,412,306,524,
164,050,310,904,178,261,956,143,969,432,573,062,642,863,956,508,877,105,903,
368,518,891,420,348,731,148,116,823,495,374,304,826,825,431,276,971,644,489,
839,681,069,265,786,289,510,015,585,994,307,993,716,916,102,996,051,331,221,
647,236,024,534,912,308,576,914,952,628,039,740,439,593,075,582,926,378,655,
447,713,761,006,720,035,663,999,280,485,169,865,481,359,674,455,846,065,497,
683,696,863,513,764,468,290,694,952,450,428,766,088,838,810,142,227,110,433,
932,073,199,346,372,552,992,838,995,870,283,709,214,470,976,205,379,279,807,
304,579,875,334,068,354,457,732,890,246,648,666,019,143,640,398,891,552,631,
284,630,451,768,098,186,644,016,839,106,957,832,903,468,897,780,293,360,491,
412,139,654,259,518,065,972,807,731,490,745,065,530,591,533,710,149,909,203,
636,470,132,737,810,409,071,324,255,694,353,606,609,654,750,136,423,963,027,
401,369,312,749,193,180,320,566,586,407,443,461,000,395,096,401,094,926,428,
234,059,411,667,875,480,914,226,233,758,143,576,768,140,722,282,773,872,568,
957,661,006,512,642,601,095,110,777,977,987,797,402,454,835,347,098,900,729,
514,245,350,916,011,263,243,083,684,149,264,893,664,814,303,593,481,160,252,
203,966,588,748,604,013,215,199,438,330,039,077,458,973,123,363,798,790,095,
968,261,738,221,598,086,676,049,679,818,286,031,662,113,814,979,191,889,355,
140,385,337,527,009,846,371,084,033,089,526,126,810,885,737,953,306,365,613,
774,151,537,145,169,151,366,080,002,869,046,075,597,431,389,807,607,843,804,
487,125,483,165,788,776,125,235,573,339,865,399,807,950,168,089,154,244,486,
673,787,882,932,307,281,982,409,794,237,229,762,186,023,235,068,704,967,559,
534,751,833,745,897,764,331,620,465,003,375,406,259,647,902,042,931,609,253,
955,906,351,015,928,375,095,276,222,676,409,802,237,336,734,740,099,744,224,
856,522,609,473,504,081,227,486,231,661,353,982,307,820,787,551,527,021,173,
404,632,373,528,895,359,186,004,508,525,575,669,323,114,480,271,055,155,388,
055,407,158,833,035,243,898,173,811,799,816,094,651,233,235,147,930,399,588,
240,614,669,205,090,557,951,660,816,986,442,203,970,873,160,682,426,205,881,
964,150,355,003,715,456,858,367,264,908,524,409,242,809,356,573,066,475,806,
331,022,448,488,867,314,459,233,702,554,834,784,452,387,642,549,045,165,644,
379,483,096,319,249,836,985,740,310,398,171,906,611,704,460,671,891,156,302,
218,948,817,282,704,443,165,736,835,082,779,017,967,696,175,380,474,031,124,
272,915,306,715,801,945,083,504,679,111,349,623,100,297,067,273,361,181,050,
699,187,237,216,784,655,820,375,931,889,481,719,412,548,046,673,847,395,787,
720,708,100,144,741,168,277,000,443,198,414,638,739,070,607,665,805,501,948,
679,287,171,987,534,342,753,213,805,710,034,263,418,892,378,015,456,252,870,
432,223,466,395,638,830,346,967,866,506,731,989,227,137,638,492,259,395,960,
629,151,816,546,827,666,464,021,841,542,473,503,192,670,922,420,310,829,577,
078,697,918,640,402,916,153,509,172,271,664,167,281,194,475,429,039,180,233,
614,831,960,739,586,549,591,790,076,983,446,926,800,189,275,911,928,717,015,
828,269,548,377,498,576,569,015,381,826,013,229,090,131,623,714,125,495,336,
475,367,648,815,386,651,102,331,023,435,703,173,455,527,783,364,543,935,044,
798,608,786,453,221,143,876,742,933,931,163,869,846,527,500,312,425,946,546,
174,588,882,188,251,369,381,290,842,187,925,834,762,218,619,726,432,493,458,
235,053,395,837,193,440,253,069,719,603,517,788,445,753,075,943,240,101,623,
375,372,287,101,625,977,756,074,023,468,419,364,550,419,045,895,311,253,370,
618,084,374,289,980,179,250,613,776,135,320,193,028,216,497,064,523,792,310,
929,329,858,047,860,792,317,363,772,217,620,015,459,979,325,748,711,824,571,
442,229,511,219,749,179,515,732,546,162,677,349,504,507,529,229,045,346,186,
870,789,144,034,661,659,593,441,896,899,665,605,807,809,105,410,371,357,116,
036,542,463,168,716,966,091,334,739,575,913,376,476,580,881,947,538,093,835,
255,202,136,448,693,325,324,323,899,292,137,055,475,711,833,501,672,522,198,
901,558,711,551,876,499,234,292,475,884,012,883,318,017,751,869,788,822,902,
913,459,790,554,561,629,507,602,846,125,540,576,777,230,259,977,086,405,745,
834,260,434,113,322,879,712,992,400,483,892,494,941,394,648,685,054,435,601,
712,667,218,545,716,459,727,729,930,643,908,911,233,422,720,900,659,468,780,
993,280,971,086,515,279,812,689,404,578,330,622,307,833,126,131,460,581,504,
017,737,360,698,855,626,891,650,676,807,080,830,434,493,857,167,158,493,571,
754,492,387,153,710,756,902,697,756,277,312,641,637,058,583,857,386,307,581,
899,088,384,041,007,956,213,878,524,649,332,849,848,623,676,011,491,412,257,
419,809,685,755,748,931,712,362,939,123,693,038,884,987,235,184,723,736,611,
135,426,781,417,026,076,084,823,369,868,188,008,454,077,008,085,549,780,470,
161,337,079,217,619,093,256,581,175,302,987,195,615,950,344,545,597,646,405,
018,925,614,874,976,642,591,388,417,752,485,885,344,008,656,960,217,814,836,
462,218,969,700,934,105,052,144,615,736,344,496,043,821,081,287,803,736,836,
980,893,406,322,057,279,745,830,011,270,467,561,390,101,840,554,068,689,712,
855,233,563,673,629,250,736,769,014,515,077,097,637,362,972,755,934,133,086,
106,812,944,058,824,792,144,846,578,886,657,099,396,015,010,020,942,625,846,
173,795,616,561,521,019,551,259,486,598,207,569,797,997,138,991,896,094,881,
352,913,485,672,869,074,789,398,596,608,024,110,922,480,355,743,420,909,008,
816,061,092,860,639,067,196,914,176,279,710,808,871,416,446,810,844,759,876,
440,892,050,110,767,272,124,585,009,833,419,260,544,871,125,681,210,782,734,
885,010,272,794,365,415,615,900,242,105,013,508,175,164,334,723,277,390,812,
153,200,474,113,332,220,587,869,286,583,542,970,043,242,245,267,944,206,909,
533,641,786,610,530,394,901,102,430,824,369,985,038,273,861,499,091,159,696,
051,733,980,426,668,960,816,706,436,403,586,201,040,035,943,980,699,586,368,
239,420,167,851,647,038,353,229,612,322,162,711,794,763,944,003,793,909,380,
286,531,486,357,052,745,084,539,627,225,892,247,871,762,828,799,457,427,904,
474,786,600,715,877,657,506,901,696,095,016,748,588,434,503,901,174,089,155,
739,282,907,608,463,605,081,055,299,745,222,292,773,948,403,860,891,062,242,
975,624,678,201,270,603,316,373,984,261,908,232,711,210,330,265,674,968,280,
800,984,175,753,584,073,296,844,649,771,121,133,972,296,772,507,510,395,669,
475,946,754,033,928,892,880,905,946,465,325,771,996,590,201,478,307,262,917,
225,390,465,362,241,198,787,111,281,902,804,070,729,225,422,066,841,154,973,
005,719,619,203,249,156,359,802,021,770,042,108,093,211,828,030,711,916,382,
814,997,994,670,543,315,398,562,147,906,669,618,055,671,092,002,777,115,668,
214,293,218,658,274,972,339,694,520,310,125,622,396,058,706,134,098,415,274,
582,467,005,983,564,053,007,125,955,296,040,929,921,831,555,259,272,001,271,
089,350,017,075,342,968,746,579,348,356,434,267,116,847,590,964,980,351,570,
253,019,258,845,046,879,457,125,431,414,785,908,154,547,522,793,534,206,127,
212,478,968,211,503,506,838,822,545,602,990,614,271,609,078,787,285,247,529,
600,760,510,644,164,036,284,591,350,615,250,089,622,129,290,260,916,743,565,
949,605,293,722,739,453,079,312,916,601,891,364,400,116,013,120,285,278,376,
974,259,194,809,504,862,287,670,973,234,667,617,304,746,582,380,424,180,452,
261,199,682,034,804,842,874,613,027,329,599,265,219,032,528,744,976,273,668,
994,049,066,142,884,979,516,684,579,562,391,657,255,616,425,750,448,218,219,
046,351,576,608,776,723,218,407,624,864,808,623,026,875,927,724,791,191,993,
405,445,574,989,992,745,569,670,524,174,310,531,051,876,743,763,905,185,116,
319,144,131,793,810,241,472,833,128,015,856,498,431,686,587,320,987,206,444,
823,171,493,458,974,792,774,937,887,952,050,865,700,621,906,070,256,027,767,
197,627,985,055,507,367,499,988,747,565,984,127,989,411,475,688,814,004,228,
863,539,776,825,534,609,976,682,353,571,218,350,756,196,398,740,686,569,286,
809,996,003,889,888,358,358,543,124,395,608,359,593,030,582,014,007,795,434,
795,598,035,839,236,482,019,339,176,113,359,310,628,550,751,381,517,998,876,
284,439,731,543,974,866,628,898,330,460,095,020,570,343,213,508,183,492,333,
269,519,373,724,080,658,016,541,306,588,266,109,243,693,391,121,815,826,168,
973,018,494,458,728,088,658,868,097,490,120,933,403,778,873,592,418,351,795,
491,664,758,431,441,110,809,808,391,289,967,066,410,592,415,515,190,636,281,
286,818,889,597,756,125,375,017,403,625,950,329,052,821,449,123,764,557,896,
535,813,311,648,873,575,290,876,262,266,735,958,476,055,253,625,513,794,743,
465,869,273,865,883,105,197,006,995,094,672,464,843,938,358,245,803,980,115,
578,158,663,565,921,067,195,933,553,238,566,216,303,350,207,985,233,470,105,
319,472,050,026,636,560,662,391,223,034,215,459,124,535,097,496,823,707,653,
955,695,785,452,831,641,328,571,778,055,641,785,205,508,603,534,323,552,875,
816,574,685,556,508,304,368,111,642,281,533,578,375,018,462,554,573,319,178,
878,703,555,422,273,397,297,641,023,656,097,375,032,343,322,375,035,241,329,
041,951,935,210,980,255,790,609,598,373,882,688,322,176,099,721,410,215,784,
121,193,417,842,533,696,458,228,706,288,798,716,596,280,450,622,593,820,172,
416,185,515,976,113,907,375,656,455,689,941,688,892,655,493,575,869,981,937,
411,760,769,954,011,096,321,528,595,193,679,810,064,876,440,228,261,458,280,
009,223,131,257,953,560,882,353,045,058,924,042,918,248,779,913,656,891,978,
207,672,454,543,756,901,691,747,798,256,993,209,359,358,929,021,507,327,491,
932,755,227,067,952,437,889,499,670,220,694,514,564,338,604,705,627,325,502,
666,925,072,177,100,752,059,792,043,169,387,782,233,391,988,528,351,821,843,
582,447,147,205,212,894,573,643,517,726,834,615,927,727,303,764,705,222,968,
036,511,402,267,076,828,081,310,519,895,071,496,087,931,954,508,721,477,478,
891,182,694,132,854,340,314,475,475,091,167,685,926,531,545,638,647,077,157,
362,455,108,205,664,946,619,735,878,365,875,965,163,063,740,784,953,365,695,
891,581,709,042,419,076,983,698,069,849,942,288,419,508,797,462,956,673,778,
105,101,170,374,385,807,509,224,003,142,430,721,894,880,222,328,463,325,758,
916,320,603,769,985,572,536,461,103,415,613,372,215,276,765,121,157,281,306,
588,989,669,344,932,035,628,133,728,948,831,194,975,501,365,258,860,677,073,
734,527,095,628,836,699,882,424,040,950,219,041,092,713,707,920,732,371,805,
234,478,146,414,814,008,199,240,082,075,964,391,819,698,317,958,844,781,394,
345,599,492,787,248,133,608,445,689,380,385,272,508,209,867,191,200,679,743,
099,536,543,535,794,746,524,452,388,216,532,238,533,383,923,497,409,695,184,
847,855,266,960,007,850,006,825,706,648,748,561,813,524,281,616,206,718,867,
800,819,443,398,740,006,661,470,103,803,033,727,586,798,527,630,510,559,520,
281,489,359,137,052,806,827,875,396,861,471,173,217,868,824,739,700,121,234,
838,903,136,301,026,525,854,622,322,371,660,927,327,944,968,323,070,432,460,
347,411,687,819,608,054,857,131,139,443,438,838,168,623,615,525,031,461,525,
701,355,582,793,434,938,209,169,589,672,544,407,066,070,001,054,582,631,024,
661,952,731,994,306,852,404,942,774,690,530,165,712,742,119,110,128,507,731,
848,397,069,496,615,037,035,285,162,322,931,164,434,071,151,497,125,587,035,
390,811,895,811,833,998,455,603,689,559,327,213,078,339,471,528,075,861,128,
325,191,052,798,950,354,004,872,113,500,171,471,328,398,208,465,679,728,281,
188,757,773,177,541,371,422,625,640,822,186,792,763,177,170,463,185,078,865,
589,668,211,217,454,766,569,949,767,936,284,281,361,143,600,014,839,205,176,
775,332,556,226,187,924,333,313,142,068,028,492,158,010,410,221,946,620,753,
723,663,733,608,095,333,472,829,189,987,874,640,088,031,956,550,569,444,765,
851,765,330,699,176,856,564,194,759,027,475,497,863,902,769,561,718,997,495,
395,496,834,256,922,382,381,426,103,410,833,959,082,555,824,249,884,459,991,
194,608,259,434,934,173,430,550,009,330,387,839,241,847,829,415,794,268,892,
555,002,427,938,314,513,926,648,998,410,975,142,132,001,695,892,192,910,715,
916,058,055,316,851,248,126,637,541,753,035,113,710,005,707,760,577,841,725,
729,850,358,279,309,694,778,951,465,346,197,427,893,916,464,402,442,629,381,
591,506,567,915,261,954,793,982,552,824,985,947,713,605,631,668,170,565,353,
746,157,485,907,259,482,835,820,500,822,598,062,120,543,684,098,044,187,459,
383,515,961,287,469,214,563,477,846,181,732,525,922,604,871,921,705,396,066,
741,430,604,570,824,926,950,964,843,512,695,320,059,100,986,333,026,417,817,
954,326,456,263,402,280,417,258,321,377,989,386,288,073,038,253,883,114,073,
829,605,138,991,530,009,764,285,853,278,261,234,997,612,833,233,919,260,145,
449,684,520,980,219,267,620,780,980,020,791,028,530,303,829,693,409,037,076,
332,504,693,398,171,271,406,843,211,079,174,869,380,648,088,721,441,223,815,
390,344,512,929,130,750,501,834,102,511,177,735,260,638,057,946,429,540,734,
271,551,393,515,604,663,093,304,733,690,946,938,682,668,399,320,242,809,787,
323,141,733,031,322,441,181,513,663,223,407,858,454,613,947,514,223,392,858,
518,821,479,988,957,126,119,189,970,960,233,893,848,893,244,210,263,908,715,
873,998,936,433,444,361,017,803,717,289,905,538,768,892,280,378,683,131,854,
768,946,369,232,136,078,736,759,282,186,449,418,418,397,697,096,324,648,348,
144,823,663,829,458,948,655,910,682,551,978,455,939,811,089,063,586,696,897,
141,155,927,022,459,502,377,609,786,623,336,680,909,713,205,878,066,505,228,
372,148,419,241,547,886,145,748,937,104,468,768,717,603,573,434,486,337,522,
932,579,113,531,602,112,207,454,738,251,892,371,791,598,792,005,106,648,143,
799,226,441,091,606,632,339,860,536,740,914,655,782,315,236,894,664,687,446,
297,451,712,576,002,726,662,449,925,710,669,039,063,787,362,570,541,624,748,
211,175,201,391,665,753,828,330,572,566,164,734,675,236,891,580,510,574,337,
802,635,348,536,257,838,885,573,597,487,161,807,992,091,463,767,903,744,612,
417,305,475,812,469,067,237,416,848,156,508,774,945,475,493,966,320,819,190,
891,705,824,581,525,615,283,972,968,385,855,788,190,015,735,747,415,851,843,
687,407,893,813,586,736,818,107,516,445,035,551,489,749,143,746,691,720,097,
253,423,060,423,707,680,336,738,327,075,288,526,385,173,866,819,589,587,839,
019,900,998,105,321,642,564,120,858,675,131,081,801,709,205,728,318,053,336,
794,584,330,205,024,833,149,822,054,522,725,046,592,100,849,784,929,901,480,
959,325,916,917,213,411,923,920,342,715,035,046,144,534,964,762,101,009,623,
140,263,318,106,812,908,120,843,910,136,026,012,188,798,790,795,542,186,201,
480,049,605,332,081,667,340,922,214,602,378,259,452,769,624,035,367,824,537,
744,135,229,583,770,933,378,234,465,232,140,496,197,869,411,143,657,636,356,
795,202,174,957,241,261,725,439,380,470,037,604,160,963,830,892,706,690,251,
876,715,682,692,151,326,902,581,307,884,622,314,130,549,046,321,050,020,565,
417,858,578,859,075,378,215,661,560,050,522,475,238,096,223,926,950,655,917,
314,398,334,644,573,864,098,528,735,006,760,778,371,616,321,318,398,620,583,
072,946,036,591,861,285,264,141,450,640,380,999,337,929,410,690,811,193,215,
622,351,538,258,299,904,364,958,055,344,616,890,940,517,312,789,093,969,166,
823,193,231,698,615,589,530,063,031,763,405,484,589,466,019,355,417,242,003,
861,208,471,053,217,984,097,825,576,130,025,466,844,515,931,328,861,387,450,
504,818,990,522,932,123,168,084,728,047,254,953,136,542,378,761,619,792,177,
449,899,527,169,797,158,970,668,610,923,757,180,368,850,588,802,356,528,916,
698,108,303,176,353,500,319,170,227,382,826,904,449,459,384,319,173,989,071,
594,867,134,162,165,183,076,573,226,539,304,121,835,862,684,495,206,610,433,
327,806,389,957,302,267,822,019,284,212,939,136,249,291,499,754,646,473,247,
851,945,070,601,014,078,909,999,211,067,711,609,636,967,251,851,052,314,891,
125,049,691,503,179,755,222,617,732,328,509,281,770,290,516,248,566,001,563,
582,529,850,830,074,033,203,723,005,930,993,564,688,818,605,542,164,746,458,
025,661,948,955,817,460,923,192,529,334,610,678,267,442,692,316,437,032,859,
962,464,745,246,043,984,066,997,607,555,409,250,016,814,474,855,079,437,976,
733,829,919,017,342,199,004,992,517,538,737,525,702,933,434,874,074,247,640,
964,233,422,548,298,021,368,402,147,305,019,998,512,001,281,051,261,713,110,
925,327,111,874,320,766,255,365,831,742,173,139,654,186,956,810,794,038,084,
845,051,510,490,572,784,709,711,523,910,721,052,051,273,353,272,259,515,640,
470,482,767,997,031,711,713,405,879,748,021,880,993,280,003,514,503,265,372,
455,974,919,565,270,496,078,164,751,605,533,183,693,690,487,452,896,109,620,
994,919,141,845,043,753,270,483,178,401,285,100,784,748,174,583,927,112,178,
525,131,565,179,579,206,716,534,357,451,015,052,534,789,307,443,234,761,342,
758,227,740,472,134,910,221,292,653,943,464,013,540,360,525,673,090,292,080,
977,534,016,435,681,408,857,541,905,201,447,814,134,227,348,560,559,024,124,
144,364,280,351,606,741,831,380,239,823,134,583,069,404,737,474,435,835,093,
400,843,201,672,895,399,679,103,322,007,782,726,065,227,523,045,576,970,603,
288,358,373,016,347,008,999,972,522,144,467,162,261,273,757,976,896,195,583,
880,971,473,011,407,403,230,447,784,189,230,850,725,417,962,156,555,581,977,
506,081,594,188,294,840,115,030,849,733,728,996,289,425,815,035,649,588,888,
734,777,031,349,872,129,036,284,907,901,159,093,289,375,477,436,200,528,644,
956,182,891,141,161,046,327,992,204,644,937,493,982,409,679,750,448,525,026,
580,624,943,348,976,272,551,638,172,187,396,478,068,154,769,203,277,628,243,
672,836,614,730,842,230,484,667,088,680,711,671,403,795,443,283,894,988,050,
268,778,644,529,525,485,539,602,593,927,858,541,542,249,754,891,823,148,859,
099,063,091,908,094,269,327,525,288,690,603,596,351,240,792,000,064,346,730,
525,370,919,255,588,843,664,483,181,455,096,328,926,288,277,808,007,229,665,
050,681,110,699,809,458,028,084,890,540,119,804,455,896,149,246,312,343,658,
198,465,211,218,800,877,510,656,862,104,177,505,394,954,428,257,670,992,826,
652,838,023,219,908,047,237,592,588,262,122,607,202,220,636,991,440,628,806,
677,724,067,498,040,290,444,268,045,537,709,617,917,488,330,336,237,612,831,
729,013,625,667,086,090,529,472,168,289,864,474,192,851,448,816,477,252,551,
569,748,622,457,689,446,405,238,053,962,959,148,069,410,361,719,276,427,269,
166,254,100,155,055,019,278,284,624,968,659,429,080,612,245,335,399,423,969,
099,960,465,385,351,942,787,968,372,050,436,865,342,376,592,438,464,833,775,
473,226,228,159,208,892,051,380,362,249,614,234,360,056,809,737,782,454,152,
838,653,813,873,753,664,664,049,586,817,172,082,223,886,462,524,618,200,944,
351,503,825,273,780,655,950,413,542,223,825,390,779,679,062,368,391,932,432,
945,744,385,683,526,435,310,143,861,446,073,248,856,462,184,536,045,737,069,
631,005,756,513,760,218,566,532,427,774,135,540,018,339,755,088,532,233,565,
447,596,081,309,071,776,528,927,430,349,069,211,027,734,900,600,115,301,300,
818,268,621,382,789,948,804,096,230,531,206,665,170,667,908,734,073,475,905,
859,596,842,557,133,204,199,425,579,089,444,235,563,947,480,342,522,319,551,
808,264,903,504,801,763,149,842,721,877,057,633,111,643,235,436,091,515,861,
954,833,257,341,975,832,284,763,213,631,421,675,197,843,901,615,713,733,944,
197,337,395,906,655,864,111,320,667,207,886,641,470,549,535,705,562,979,434,
135,568,161,543,510,532,570,596,845,018,936,320,819,591,872,475,271,515,780,
147,664,433,923,443,423,262,632,737,391,085,749,115,782,947,296,706,993,266,
249,179,164,056,637,620,063,947,616,206,606,962,790,220,670,027,754,945,299,
921,648,537,438,732,512,664,100,092,417,204,650,309,849,784,375,185,597,750,
365,372,100,122,170,956,801,271,017,325,346,607,806,481,969,919,084,296,818,
803,720,473,350,284,133,534,254,433,864,365,060,589,263,088,081,671,037,371,
408,806,021,280,529,594,957,194,258,339,211,092,879,936,000,372,764,582,738,
005,323,255,986,032,434,554,231,196,357,971,667,034,800,691,795,686,548,701,
467,450,505,946,950,338,558,255,314,254,707,822,928,425,359,230,868,712,665,
285,665,993,801,126,898,959,860,943,477,305,632,478,051,535,830,427,508,604,
336,979,910,590,230,939,039,379,040,996,677,983,423,960,066,170,272,748,863,
547,980,057,515,747,957,685,357,130,615,969,344,653,729,828,824,633,722,512,
485,746,991,829,483,367,974,843,237,083,884,197,051,538,803,047,512,809,980,
731,641,007,462,076,977,734,260,740,041,767,472,804,298,066,940,146,775,799,
529,025,606,598,058,294,598,633,438,508,465,744,787,630,881,721,402,756,210,
414,507,475,948,894,176,536,681,372,498,530,499,609,666,849,141,187,522,293,
776,786,950,152,595,926,854,109,977,758,973,376,473,411,858,979,143,313,373,
550,911,671,423,566,583,928,472,890,385,356,206,942,435,874,274,761,488,311,
106,853,490,334,918,458,320,343,753,382,398,478,416,736,342,759,200,392,476,
711,401,325,737,716,557,260,817,187,151,496,601,761,006,075,022,976,930,091,
086,685,135,760,943,874,517,571,829,116,065,771,280,003,938,704,379,403,459,
287,850,543,226,240,595,035,379,797,025,330,373,703,811,390,856,121,911,511,
024,471,431,113,319,796,422,820,082,841,677,274,458,182,670,923,868,535,961,
104,932,485,154,106,432,312,107,253,141,331,866,385,395,061,995,122,448,006,
419,878,059,374,434,472,041,355,439,898,013,124,627,331,494,329,430,734,837,
818,116,407,568,818,280,782,650,501,429,067,204,240,665,731,845,478,088,041,
905,768,119,835,064,870,632,284,281,735,904,887,035,973,209,975,004,198,797,
462,614,107,413,443,581,461,865,426,051,077,038,121,272,575,407,795,218,436,
157,364,198,714,229,695,408,053,713,173,642,225,908,367,397,629,227,352,511,
053,255,262,308,336,900,692,534,375,781,683,543,262,545,982,595,878,729,259,
433,975,301,868,871,294,074,683,149,215,194,463,911,839,238,762,132,146,925,
701,801,978,136,149,493,045,448,803,701,616,200,545,688,344,369,885,466,538,
304,263,576,917,864,159,426,303,596,043,453,061,469,059,063,645,462,645,909,
513,646,374,284,214,416,306,501,655,442,728,074,092,213,021,985,733,159,074,
640,778,585,322,600,215,271,706,808,770,312,684,734,567,489,641,920,218,773,
572,397,782,299,211,697,576,997,876,942,960,345,978,114,689,040,967,520,195,
915,691,847,708,124,485,967,410,813,493,098,388,140,039,027,559,305,026,904,
978,038,201,799,624,461,720,485,773,920,411,124,737,237,567,648,161,681,005,
130,007,098,064,503,904,318,151,095,303,912,752,040,281,414,779,992,151,595,
314,749,109,446,818,384,913,605,665,599,876,653,255,679,065,394,495,487,599,
180,304,153,920,506,624,815,793,076,010,579,397,620,078,435,763,845,167,603,
036,523,240,219,930,079,623,276,403,888,572,215,277,720,850,560,642,667,572,
740,840,332,812,530,874,135,478,039,179,859,174,677,574,657,044,518,056,202,
865,019,171,490,091,336,351,174,695,601,128,011,663,428,124,707,600,458,658,
354,461,949,924,360,040,360,695,515,595,710,258,201,108,365,637,497,613,831,
941,632,071,365,203,337,483,083,794,577,146,565,873,213,168,099,559,785,459,
882,103,106,509,467,861,096,705,633,496,568,680,759,940,507,936,584,643,813,
093,535,790,424,297,269,248,487,218,547,259,001,037,930,587,846,456,100,247,
241,268,044,437,467,512,284,273,975,187,407,429,194,210,675,496,333,131,162,
255,665,538,272,961,480,458,117,731,689,684,580,572,031,510,081,333,538,425,
472,576,082,195,254,540,013,523,793,118,616,868,048,038,270,253,029,237,910,
777,628,055,289,098,518,906,750,329,577,284,755,068,064,208,502,273,172,295,
566,264,237,503,404,077,092,215,491,285,885,195,745,729,886,560,305,724,269,
401,409,240,923,951,598,205,052,140,547,293,402,538,368,782,358,066,236,351,
026,039,739,871,609,682,112,140,930,532,451,989,205,756,243,906,581,698,011,
632,385,422,668,464,488,297,416,622,148,632,970,325,901,012,909,693,318,687,
896,126,841,953,460,739,109,461,392,126,075,989,648,696,162,485,234,487,454,
849,766,139,487,355,011,455,729,149,564,543,659,226,950,296,797,497,364,255,
721,964,492,147,356,159,745,641,117,920,402,139,500,365,034,643,367,322,209,
276,804,714,183,811,342,862,695,946,775,672,681,336,157,156,169,716,657,002,
264,864,763,866,143,862,784,235,342,084,558,663,117,502,294,633,829,295,743,
233,480,501,481,061,805,274,059,684,204,234,459,945,671,375,659,778,964,981,
550,636,878,951,547,481,423,801,451,398,425,414,669,287,020,848,815,470,389,
174,658,414,114,375,374,444,444,522,019,501,424,196,729,209,436,378,014,121,
298,769,726,806,751,332,932,509,215,240,229,300,589,507,772,561,641,411,350,
210,833,568,910,851,437,464,827,062,573,849,147,747,810,846,263,284,871,457,
680,601,113,141,113,701,650,548,981,635,754,821,604,945,860,511,332,709,078,
613,064,914,997,202,073,150,755,442,876,660,847,478,196,725,349,783,630,538,
008,003,650,630,239,372,486,410,553,160,371,730,292,066,336,880,207,285,598,
333,426,114,211,337,911,228,029,113,370,867,665,917,982,192,380,897,065,247,
698,231,916,820,524,014,733,910,035,747,310,174,451,608,172,621,933,317,882,
847,564,446,761,568,978,557,130,148,924,909,939,838,394,078,133,719,185,718,
408,817,787,069,782,239,078,335,477,468,116,060,054,485,591,189,469,770,148,
677,830,465,929,598,549,453,289,152,950,653,023,243,877,694,733,397,144,760,
222,847,547,902,851,810,000,760,085,284,362,972,571,153,219,084,481,762,014,
637,338,218,048,886,264,518,614,419,848,808,461,649,606,958,695,186,877,555,
895,085,963,609,750,936,306,147,520,034,758,166,978,491,807,959,188,775,435,
060,427,447,363,114,942,400,662,164,226,917,253,101,936,239,272,716,870,183,
584,550,133,049,730,098,815,758,056,019,679,394,149,624,242,238,938,958,331,
552,825,208,873,327,717,505,176,985,163,867,475,740,988,584,650,941,377,560,
541,219,048,953,048,985,633,652,688,735,058,677,620,605,986,014,668,306,789,
391,469,065,004,491,169,509,202,085,560,291,168,318,770,043,380,818,986,693,
260,660,404,258,363,008,029,920,785,961,271,450,081,492,188,720,327,445,929,
783,649,173,400,724,785,410,175,013,419,951,539,811,664,160,364,635,627,464,
633,064,270,525,821,740,440,667,310,728,930,403,804,428,656,382,114,234,571,
905,001,468,585,369,333,905,092,454,971,166,733,896,888,611,072,259,720,303,
721,830,395,740,769,433,683,391,425,297,724,940,927,651,331,260,156,074,344,
249,689,703,779,762,949,457,587,539,319,728,611,332,990,137,618,942,463,297,
243,426,930,696,097,936,971,684,288,841,311,030,264,763,056,619,956,866,217,
249,324,899,445,746,308,312,695,878,802,487,709,837,986,802,818,574,769,373,
960,511,247,746,616,240,704,701,501,826,495,090,472,789,226,730,739,604,869,
613,386,858,558,145,157,118,197,696,281,866,123,088,643,358,737,360,346,618,
848,766,724,005,983,360,032,052,364,151,515,169,825,250,635,404,400,509,757,
339,348,123,532,967,526,383,177,265,217,749,271,740,756,161,519,763,433,582,
056,331,550,873,816,652,217,932,663,793,356,512,597,067,846,093,768,970,901,
828,888,958,773,196,204,059,445,260,816,537,048,491,835,651,300,849,779,060,
593,912,718,698,178,600,094,402,752,358,218,430,100,170,629,638,604,661,735,
820,045,539,935,734,183,606,542,313,348,345,079,392,555,923,333,955,665,407,
542,681,410,236,313,100,800,048,232,183,742,341,425,685,146,718,000,266,678,
861,701,119,620,827,661,102,179,295,901,866,352,156,144,446,802,669,200,191,
686,338,733,563,990,291,215,059,348,003,979,684,599,909,508,065,481,077,532,
804,221,888,880,346,011,758,302,153,111,809,995,014,224,538,537,397,000,525,
620,065,076,604,945,765,814,928,739,932,301,401,734,225,784,017,065,208,387,
871,275,875,165,429,867,036,873,679,686,988,362,995,651,736,563,436,934,967,
945,825,008,177,424,292,050,930,416,039,745,102,097,671,568,312,609,756,320,
921,902,788,124,978,984,567,291,712,656,442,520,155,945,365,832,730,169,874,
927,083,661,062,378,658,079,970,035,653,024,136,872,883,414,804,766,176,671,
272,715,010,873,843,625,324,830,949,695,744,148,903,145,495,479,502,566,726,
585,081,690,649,620,199,240,194,055,563,869,454,712,959,430,607,887,161,866,
919,876,620,517,424,840,745,599,883,927,152,300,933,594,805,705,387,489,028,
368,383,994,334,508,679,272,538,883,992,746,735,787,514,546,037,747,704,805,
793,584,427,477,268,257,113,416,349,175,638,299,558,255,502,048,301,354,749,
143,697,071,017,084,818,373,617,596,139,221,006,332,020,816,056,568,568,150,
362,334,562,276,177,135,484,904,030,166,720,973,677,812,819,131,392,697,651,
072,293,695,786,820,624,177,877,679,451,712,252,613,428,743,818,137,367,148,
486,782,836,451,949,402,116,020,630,116,985,915,292,286,970,482,104,835,994,
810,170,885,966,102,408,753,488,465,966,485,198,794,362,300,598,907,612,190,
874,061,875,200,955,235,954,449,099,315,355,498,357,534,752,430,740,109,847,
187,624,447,316,805,938,907,835,632,917,243,751,580,364,290,441,827,751,604,
056,518,760,002,873,570,519,268,049,414,566,770,641,894,608,483,287,015,561,
539,137,531,522,312,574,876,565,285,357,420,590,350,017,763,974,619,109,220,
004,846,246,214,516,033,768,125,034,581,297,503,653,273,064,954,460,186,750,
440,154,328,643,938,711,545,531,815,220,430,927,952,429,418,886,800,785,732,
894,868,162,051,802,803,870,284,777,257,128,765,177,796,650,181,064,371,842,
657,139,792,503,271,953,509,377,024,116,994,096,016,227,315,467,472,606,606,
371,747,432,328,666,326,143,979,081,656,865,357,965,636,960,630,037,032,936,
982,932,851,471,532,019,290,354,670,251,336,472,031,108,972,184,639,789,361,
386,713,853,926,791,680,566,622,059,485,209,014,014,530,866,958,163,849,996,
865,162,320,945,558,237,365,977,856,835,974,078,096,994,641,160,829,445,720,
384,084,952,178,438,771,821,161,217,110,493,863,794,072,407,003,089,471,944,
531,276,037,920,368,168,237,902,669,393,773,987,990,881,494,191,233,427,517,
387,669,951,512,279,836,204,493,878,553,634,430,280,316,689,088,932,700,370,
684,948,903,141,505,688,990,974,823,607,263,950,454,542,282,679,395,837,100,
014,880,691,513,150,043,977,405,559,235,939,587,046,111,343,587,601,828,112,
055,867,829,755,170,754,080,089,517,477,677,818,836,278,148,354,858,942,830,
868,196,718,830,481,858,701,136,564,434,847,208,773,414,511,731,413,949,547,
057,372,821,797,738,256,630,860,418,553,919,032,474,996,027,262,729,112,826,
644,325,516,017,356,234,404,543,009,247,104,125,690,224,477,301,601,574,630,
239,876,841,318,162,931,670,871,659,843,638,155,709,642,769,806,435,492,269,
515,546,441,280,045,240,225,728,965,578,602,569,781,229,571,993,268,152,668,
200,336,824,398,031,744,951,444,955,734,643,746,116,887,114,378,684,558,609,
157,644,550,543,712,226,106,069,451,633,324,976,968,830,453,319,680,304,334,
747,062,061,939,970,664,147,170,654,021,136,262,499,372,833,463,137,102,622,
588,461,193,435,671,163,593,543,255,722,794,664,809,294,071,659,281,478,676,
521,465,515,988,766,121,603,989,257,470,165,018,027,699,463,803,332,727,621,
823,307,167,416,973,234,036,684,905,879,930,064,531,812,230,516,412,794,046,
572,548,752,269,105,037,156,277,931,782,697,783,206,829,959,077,537,917,920,
260,521,947,498,501,899,607,482,219,091,275,050,792,052,196,016,702,131,890,
639,824,636,993,338,064,366,126,455,638,657,699,020,684,172,738,561,489,129,
369,828,349,730,542,792,223,431,587,743,131,876,350,924,711,261,376,380,558,
570,948,546,083,929,660,052,613,324,316,298,379,101,016,979,761,741,191,010,
694,328,853,586,895,023,304,014,426,656,902,868,763,999,396,505,928,695,076,
331,140,944,676,705,530,652,403,110,413,670,195,154,778,619,307,349,030,293,
697,292,313,394,650,312,443,574,792,570,290,317,390,744,452,264,856,485,042,
629,503,314,351,325,718,974,720,127,077,306,524,329,545,755,348,417,710,969,
237,838,230,242,709,540,859,061,629,601,684,717,230,674,031,724,959,512,101,
199,030,658,492,559,134,620,220,675,788,152,218,737,823,799,990,820,088,250,
896,935,861,867,895,416,524,261,377,299,732,873,895,905,278,721,777,950,089,
467,099,044,202,997,364,141,472,270,698,770,822,135,129,286,667,467,207,734,
124,721,896,426,577,562,397,462,969,534,867,490,748,862,872,984,460,400,261,
103,028,888,846,860,184,516,492,450,972,493,716,691,912,358,629,160,962,761,
460,133,997,692,812,381,137,497,271,501,468,554,051,218,846,349,265,103,215,
791,005,925,360,285,024,311,995,058,799,239,621,585,726,424,298,121,996,160,
771,026,252,141,176,862,815,607,890,398,710,015,112,920,746,264,693,726,000,
800,856,078,301,130,118,552,475,389,975,985,449,192,879,584,342,994,963,871,
376,001,728,501,708,735,636,621,071,772,116,329,152,995,544,591,518,555,283,
034,489,040,858,658,326,422,857,096,436,692,169,520,702,120,870,238,042,770,
556,346,789,106,970,155,744,855,104,882,134,569,608,328,059,555,775,866,320,
773,750,691,363,593,467,596,869,505,207,922,793,017,064,504,394,141,854,450,
241,067,644,647,790,858,579,159,388,626,298,198,519,178,654,859,414,650,963,
986,549,757,740,742,689,527,143,172,000,723,985,622,092,452,970,154,931,026,
174,093,158,086,516,940,233,378,752,367,487,626,344,062,276,822,174,599,289,
370,318,694,679,884,406,327,715,736,583,608,624,644,570,051,008,791,039,230,
796,805,292,066,860,307,789,759,715,560,925,187,592,399,590,466,619,359,928,
581,217,303,882,650,235,436,784,666,418,777,174,246,086,801,512,149,195,824,
687,537,271,705,347,645,793,961,162,347,959,272,953,166,607,589,110,434,421,
477,287,655,860,743,088,571,187,120,137,938,459,862,257,158,441,624,093,680,
490,890,673,615,344,520,403,954,566,253,422,544,570,395,584,839,898,493,578,
697,197,342,518,590,159,889,370,222,256,591,989,214,008,232,637,489,144,854,
613,289,091,082,626,615,187,597,806,310,636,828,432,568,562,410,088,324,706,
241,197,488,556,466,896,601,196,506,291,596,255,986,682,661,128,737,301,910,
981,697,379,132,074,814,838,159,393,040,515,237,380,969,217,397,317,666,659,
921,005,212,156,084,835,123,825,435,287,820,917,982,843,993,836,772,653,234,
293,347,657,336,408,473,523,409,245,026,243,873,523,309,993,465,275,594,252,
479,596,012,413,614,073,964,390,444,637,238,836,062,145,493,683,776,597,643,
895,625,677,138,459,094,231,602,206,496,395,469,460,187,917,120,638,330,968,
515,950,970,339,315,892,350,727,420,017,880,599,160,255,831,169,062,003,043,
034,400,977,498,556,699,606,774,353,569,839,793,418,262,909,689,384,267,703,
480,986,475,807,953,185,304,155,006,828,600,057,544,455,562,783,154,132,118,
038,852,957,313,585,387,226,389,278,484,051,206,230,912,815,102,543,708,823,
755,623,040,293,503,535,855,043,493,961,575,020,503,300,395,725,964,842,023,
550,049,133,646,090,934,657,669,257,919,895,246,033,109,144,489,645,162,826,
344,377,770,912,415,798,683,374,248,513,838,834,133,342,429,139,014,288,789,
854,833,971,408,773,689,636,705,532,312,103,817,565,292,261,160,571,712,314,
574,146,757,466,575,862,009,346,446,772,342,433,903,493,214,111,410,935,510,
600,757,076,815,848,553,720,725,393,931,476,887,146,990,027,687,619,191,981,
246,997,489,764,947,606,098,630,075,101,213,825,973,996,516,474,988,954,326,
530,868,454,459,795,113,224,355,512,463,560,915,185,970,182,864,182,438,854,
351,945,949,018,029,387,622,040,204,230,719,587,944,719,596,598,820,096,440,
633,726,127,628,876,598,995,625,138,836,846,340,429,771,834,697,130,585,057,
089,898,469,495,386,170,637,065,621,663,354,294,095,730,048,562,654,022,435,
737,710,952,995,344,226,305,152,000,103,405,857,046,433,330,964,584,932,689,
508,742,579,768,684,157,292,943,662,144,673,792,253,020,440,143,673,280,221,
240,214,100,116,682,677,684,914,893,522,041,980,989,177,264,637,931,794,123,
031,930,906,303,896,429,514,737,312,061,818,746,329,744,145,223,475,403,804,
479,969,787,806,921,587,227,338,033,450,699,816,454,354,317,421,933,630,923,
535,254,541,079,009,992,916,392,048,687,514,123,844,050,869,813,495,988,168,
963,743,809,172,134,564,106,950,043,047,817,364,936,535,233,228,189,581,231,
046,592,205,769,978,486,917,693,675,658,317,916,209,094,302,722,512,821,027,
920,954,121,557,962,354,307,479,159,155,484,608,032,252,959,412,387,457,554,
774,096,777,140,034,048,817,543,249,884,745,189,178,980,236,687,049,365,042,
793,195,403,273,770,269,884,706,018,712,406,092,719,623,337,261,390,003,288,
262,680,054,203,093,141,830,768,919,975,369,342,024,684,677,545,088,035,336,
802,127,157,501,081,371,229,594,367,837,033,377,015,001,935,386,261,017,879,
383,965,714,990,793,256,170,344,207,984,555,550,334,091,908,005,310,466,420,
260,757,268,396,713,762,597,517,074,994,960,369,934,558,419,188,531,303,807,
193,334,490,142,353,991,230,422,535,146,990,231,685,440,276,442,373,315,167,
174,986,574,453,065,243,014,321,878,648,707,184,324,204,214,279,055,419,124,
239,925,672,518,935,506,635,457,537,609,654,885,730,738,708,080,609,526,183,
808,937,704,784,216,032,862,283,790,935,641,937,931,840,063,977,351,191,490,
154,051,055,776,668,361,878,288,805,540,237,797,632,533,436,253,203,963,170,
384,620,876,403,583,271,706,882,784,711,531,577,498,525,069,579,993,649,704,
027,999,289,708,369,879,760,254,142,893,187,569,013,845,637,705,959,898,577,
610,640,040,636,949,212,401,745,862,524,073,405,159,324,829,995,418,843,531,
903,664,845,459,889,899,440,575,857,504,090,458,347,719,002,448,692,152,963,
814,728,798,042,775,815,780,287,734,982,658,469,715,048,644,923,880,897,337,
283,380,259,102,435,347,811,448,590,452,782,306,875,659,253,373,946,203,227,
656,656,074,144,324,343,641,205,226,820,430,849,405,356,324,787,505,426,134,
771,415,610,389,758,501,437,706,553,783,738,353,591,546,176,416,998,004,769,
830,070,861,980,602,931,325,160,863,296,942,030,879,202,227,565,454,057,242,
918,903,425,142,276,763,408,362,971,946,028,279,585,754,342,937,224,661,347,
445,584,889,894,031,372,098,295,292,431,206,466,794,827,291,931,249,774,888,
281,867,294,928,915,412,843,526,001,294,893,018,947,535,006,600,405,754,293,
628,259,434,519,428,917,693,403,331,185,870,294,051,220,057,330,177,666,684,
461,684,947,711,123,558,690,718,286,506,956,007,079,778,226,892,777,640,571,
342,281,745,717,298,747,914,612,726,302,938,935,202,418,707,896,646,881,641,
509,976,268,276,215,972,195,074,303,836,907,489,936,195,262,474,876,889,832,
933,294,703,566,728,851,221,430,752,497,489,287,144,924,766,699,468,768,923,
072,168,853,133,432,506,434,321,730,685,864,350,786,869,258,166,471,271,430,
833,729,323,467,572,408,556,480,912,723,980,552,158,838,479,100,835,991,569,
319,749,105,898,257,863,934,028,764,349,038,587,105,882,907,118,265,501,714,
367,431,290,116,194,029,247,642,037,531,560,194,714,017,096,806,766,849,217,
513,795,046,941,567,725,287,061,582,720,311,211,197,559,970,478,124,558,948,
443,520,038,279,425,205,285,474,065,737,008,797,426,953,850,226,438,116,852,
119,900,749,408,712,949,493,728,992,334,700,547,200,613,469,589,928,770,297,
159,420,089,437,389,207,634,051,257,131,780,403,683,344,935,828,642,847,752,
672,760,846,744,607,951,013,788,651,642,476,130,259,808,815,480,053,396,418,
512,621,903,462,701,934,154,779,499,293,597,543,357,266,800,133,511,069,190,
039,182,218,581,205,290,801,337,987,628,929,634,849,820,644,904,444,176,343,
934,101,258,897,076,862,004,151,010,459,545,449,027,164,178,746,670,192,508,
782,511,673,714,833,150,032,329,443,864,392,710,266,908,712,356,778,409,555,
147,854,462,031,642,256,346,218,566,211,944,954,328,267,565,744,938,967,578,
858,107,052,975,344,732,879,684,997,451,144,060,002,981,088,807,259,697,013,
704,267,465,509,505,935,656,527,015,452,687,786,816,832,744,823,347,151,561,
838,313,304,060,725,163,855,446,153,924,858,545,566,589,438,117,386,465,925,
911,069,782,256,289,601,341,250,247,405,806,310,568,917,961,582,904,081,655,
193,451,708,737,136,296,942,711,667,535,870,148,789,796,369,902,746,783,570,
731,902,685,914,808,296,335,410,142,614,075,661,478,052,535,291,298,081,717,
864,783,463,521,406,379,696,927,930,142,873,569,346,023,240,628,153,595,492,
692,848,323,277,463,349,051,557,800,038,708,391,182,110,175,156,623,959,063,
179,133,095,871,365,974,156,638,550,165,393,190,009,060,425,212,060,643,246,
175,931,612,046,270,974,532,426,578,138,119,515,656,617,045,751,564,254,972,
888,032,221,874,705,813,955,203,408,496,113,449,580,691,931,366,925,780,548,
496,938,130,498,128,187,547,515,272,490,711,811,341,406,568,460,149,909,033,
547,087,732,280,162,613,957,304,748,580,110,760,127,976,492,441,445,617,314,
699,244,658,411,680,365,865,826,502,331,225,993,578,170,776,621,224,782,639,
871,608,456,114,869,391,920,275,536,178,949,005,736,681,029,418,708,515,409,
383,476,475,295,333,015,028,556,407,182,522,938,758,563,779,950,557,296,629,
293,176,981,254,755,561,652,171,854,556,070,525,154,259,769,501,327,365,638,
509,435,430,631,983,772,853,265,856,453,153,242,886,003,997,231,337,410,012,
016,071,554,658,102,185,281,602,436,301,630,380,025,803,539,962,138,498,067,
086,362,276,098,642,990,502,228,891,979,301,848,689,900,345,847,552,504,926,
059,403,367,286,107,763,366,116,514,382,519,128,776,580,960,135,915,623,160,
103,830,849,960,267,696,074,978,654,639,483,574,328,321,713,840,427,866,418,
998,270,488,548,911,893,847,753,517,108,060,424,700,315,414,985,860,502,080,
768,772,625,964,429,137,806,885,189,928,060,638,610,557,094,155,805,658,372,
523,660,864,723,733,321,271,500,373,073,603,279,948,247,220,595,046,743,381,
923,833,475,017,299,360,674,954,630,253,493,686,704,600,962,229,445,926,382,
686,182,345,808,676,404,188,901,795,075,681,861,253,935,130,793,837,674,282,
824,518,841,951,308,722,613,823,043,080,986,843,414,045,867,167,791,042,095,
081,565,372,993,835,512,559,946,622,303,628,024,299,228,629,542,868,896,639,
785,903,881,384,309,241,012,657,198,887,926,791,801,486,645,889,046,849,865,
319,709,573,998,280,185,031,037,992,012,225,845,713,895,093,853,278,475,246,
239,405,642,599,745,013,972,350,567,966,435,732,291,992,308,649,583,537,323,
868,617,302,207,077,704,031,730,717,151,595,464,735,072,545,424,784,218,157,
437,920,872,350,592,081,272,561,000,127,632,660,538,845,474,645,529,554,468,
357,525,422,642,908,554,374,785,768,398,916,432,071,520,865,884,704,790,117,
520,421,694,652,549,940,215,777,974,326,607,814,694,652,782,232,053,444,714,
980,935,032,145,629,210,619,056,841,944,772,542,461,582,100,973,868,374,826,
874,090,840,468,763,830,002,738,433,683,134,894,575,081,649,272,568,495,244,
573,514,313,889,912,489,477,774,961,069,380,710,537,503,598,343,540,906,904,
140,410,943,800,541,867,103,715,925,429,612,248,443,338,476,473,330,774,367,
746,833,936,972,234,809,377,678,764,642,600,125,316,400,329,341,946,589,870,
327,313,189,683,193,258,401,429,349,222,449,453,111,455,441,590,773,941,224,
116,628,769,004,322,399,566,777,363,816,165,606,620,838,283,831,210,787,403,
912,481,358,287,305,103,923,116,589,842,487,967,992,254,655,031,666,914,033,
344,844,180,084,024,613,145,566,169,242,133,674,761,369,152,349,653,020,980,
422,172,781,450,393,240,445,520,068,340,132,454,218,069,626,881,689,473,161,
881,190,309,613,711,681,581,403,170,415,509,788,550,527,264,665,215,373,817,
245,451,431,873,323,577,118,614,389,788,652,482,849,281,513,261,785,525,877,
668,013,281,865,781,314,014,387,650,596,383,820,703,027,510,399,441,725,674,
755,192,647,168,693,125,226,643,051,777,995,570,480,539,447,779,811,160,948,
672,119,020,551,021,223,069,508,535,643,129,559,225,633,933,144,558,750,834,
306,791,182,691,506,271,648,146,129,685,925,185,743,721,379,044,093,474,230,
862,654,277,749,460,458,333,020,597,925,482,204,449,363,015,059,712,619,623,
258,094,795,545,483,559,880,316,575,879,816,704,324,672,139,026,111,463,542,
976,379,615,220,984,559,333,383,151,114,147,386,678,140,601,763,047,886,294,
823,362,434,257,351,309,892,372,371,193,799,541,618,071,358,100,040,214,237,
231,744,462,721,455,252,147,523,422,295,631,274,448,907,390,340,685,466,755,
599,393,328,484,409,734,587,048,726,845,932,887,705,782,296,892,800,408,038,
021,757,255,926,330,069,475,409,629,862,169,505,966,443,471,005,411,376,482,
252,051,909,530,970,073,393,172,222,321,579,673,107,224,751,091,210,091,333,
414,890,763,485,294,804,131,925,226,386,597,654,820,609,272,872,916,029,267,
776,759,319,045,325,852,441,762,307,193,671,741,732,557,768,167,666,601,938,
879,134,291,995,670,284,711,741,043,222,636,770,700,729,108,542,605,650,605,
829,227,743,395,278,914,140,473,823,339,305,100,214,626,751,949,138,385,141,
041,959,449,485,912,924,960,418,885,732,357,312,643,230,542,178,842,143,318,
703,372,248,495,855,588,358,921,572,543,919,699,209,501,883,451,103,979,051,
344,199,873,423,459,608,606,104,173,260,610,818,506,501,766,151,880,290,813,
196,902,589,677,470,202,525,892,720,148,572,765,305,683,737,698,001,424,915,
037,920,683,165,783,876,730,849,027,112,381,272,825,444,787,375,434,005,854,
090,708,430,447,663,483,059,515,442,816,479,099,891,486,620,693,134,743,019,
954,846,614,543,961,867,166,969,355,410,643,171,916,832,207,937,261,221,451,
441,445,650,493,458,336,123,761,732,816,880,132,041,603,120,057,153,455,719,
975,740,315,767,792,751,960,871,960,220,767,822,233,173,071,699,633,673,116,
607,664,145,524,676,722,273,588,270,101,631,459,994,310,236,190,762,624,389,
488,587,368,888,971,381,334,628,014,664,724,518,512,731,086,398,587,363,312,
230,862,882,065,050,456,494,352,717,303,095,892,444,349,203,713,371,291,880,
046,066,358,239,650,393,375,166,339,702,667,503,563,731,870,474,781,479,470,
378,792,744,245,099,023,171,964,430,613,832,954,015,365,391,689,952,709,089,
733,128,741,672,574,489,396,415,889,121,829,343,212,570,581,341,372,201,002,
000,984,717,824,748,060,363,304,984,527,799,400,901,172,977,151,109,909,727,
313,683,355,546,298,648,398,036,145,676,344,084,743,225,213,552,256,102,922,
586,417,816,218,022,590,770,667,007,109,520,585,432,079,307,781,472,939,616,
751,482,346,398,137,247,045,273,910,848,413,956,256,518,752,647,277,943,498,
021,461,162,690,364,949,947,720,962,477,386,013,152,537,769,819,433,954,661,
633,957,579,432,988,422,598,844,044,623,859,283,707,991,462,719,241,955,474,
037,928,659,813,558,490,752,619,310,889,963,652,611,228,106,207,098,228,325,
223,707,293,902,862,651,925,033,653,820,705,406,745,640,382,532,422,477,817,
484,030,771,592,541,590,003,101,284,462,944,296,023,894,560,914,655,339,683,
498,311,887,083,443,992,951,430,942,444,529,704,270,488,360,734,474,861,845,
100,932,127,782,098,645,322,402,311,915,101,541,177,306,642,064,096,034,441,
231,530,744,347,742,470,949,924,609,372,205,118,081,392,917,989,111,348,389,
525,834,052,338,735,744,305,588,703,394,442,148,894,907,633,104,385,511,421,
249,922,380,165,139,237,914,620,616,614,391,417,592,774,211,452,731,509,231,
835,852,349,769,562,971,762,802,339,405,012,078,691,491,448,780,818,855,943,
161,797,472,130,706,093,086,821,639,246,960,649,142,955,209,393,362,479,494,
610,509,533,884,477,430,795,559,932,800,668,361,527,565,110,012,375,555,093,
846,266,425,922,039,547,581,445,561,811,656,446,872,154,902,340,311,438,533,
177,022,023,549,573,960,490,723,536,928,035,469,781,849,240,671,260,370,666,
064,514,321,706,665,760,081,437,686,212,521,440,429,191,721,947,416,955,955,
773,224,302,749,743,664,969,313,909,075,017,249,109,143,894,866,893,944,390,
807,150,326,739,538,578,837,906,618,720,571,954,226,289,161,093,604,319,159,
512,421,363,178,950,079,472,406,517,614,158,585,655,813,948,203,924,349,880,
999,909,821,989,352,747,287,146,586,361,686,838,020,153,837,132,964,789,648,
966,492,122,422,164,701,713,001,732,454,710,033,335,784,038,799,129,873,343,
802,236,574,267,172,322,250,680,867,027,114,079,756,810,172,506,390,866,166,
234,086,156,185,198,759,057,269,298,830,999,009,180,349,326,791,775,753,746,
292,999,447,702,347,123,500,329,125,175,026,991,511,164,834,859,921,095,334,
264,479,404,367,389,718,773,474,046,307,879,095,301,650,584,983,338,023,396,
210,138,768,007,462,923,404,196,218,412,134,665,684,687,074,997,137,013,933,
095,835,041,145,613,543,516,273,787,284,916,748,891,683,377,024,406,709,825,
978,854,776,998,705,932,349,276,410,752,952,142,086,059,139,479,710,887,732,
665,126,167,887,481,141,373,514,801,370,183,599,283,875,798,537,311,234,340,
197,161,346,728,860,803,293,779,800,754,942,981,147,012,535,268,445,566,721,
902,944,332,868,684,404,044,291,708,385,154,197,825,113,143,850,282,477,782,
757,402,474,728,241,439,825,121,792,386,402,593,652,519,299,846,057,236,991,
844,359,985,982,187,760,157,779,553,808,450,211,491,321,594,144,355,861,893,
852,909,818,137,357,073,444,307,546,774,830,607,300,721,471,887,968,010,887,
755,378,496,638,874,937,816,604,842,603,672,743,821,369,990,589,624,109,729,
018,495,978,920,577,267,074,083,071,792,765,357,286,966,645,888,431,417,595,
725,071,637,111,215,776,462,546,476,282,462,687,012,265,562,682,064,863,714,
397,975,550,761,473,951,048,136,748,576,006,229,030,793,490,575,699,740,408,
330,403,154,922,569,724,565,808,491,842,688,008,020,608,899,276,666,418,909,
318,840,017,432,253,074,173,610,504,888,802,715,828,438,265,602,802,798,872,
700,404,393,295,494,964,904,645,119,415,334,980,540,859,827,759,608,648,725,
341,534,430,522,739,405,797,295,088,259,022,166,390,204,214,828,428,932,434,
578,058,057,031,274,783,716,799,852,144,098,250,199,149,148,193,638,602,536,
399,903,291,491,529,906,946,339,810,769,907,319,432,811,951,375,374,036,592,
950,649,507,055,092,330,743,811,625,009,063,066,563,994,615,216,381,187,527,
158,415,624,563,589,127,572,057,209,654,656,468,717,729,411,152,675,844,782,
355,920,616,192,459,811,719,249,634,479,752,118,748,735,179,342,802,256,457,
105,523,813,654,817,175,839,632,548,812,957,921,796,067,465,264,846,715,180,
944,586,129,156,509,681,876,852,368,814,753,534,019,313,568,661,207,979,094,
379,351,447,779,648,160,461,351,151,918,425,556,912,982,220,145,579,259,190,
408,507,945,494,295,696,906,335,097,250,929,605,038,225,611,967,079,976,474,
226,294,031,953,373,948,094,277,740,606,861,509,891,985,721,196,622,820,245,
258,657,238,685,567,000,863,282,156,663,151,010,966,444,091,047,908,769,481,
300,405,332,203,185,366,971,625,718,737,050,961,299,186,057,972,358,196,603,
846,964,790,770,885,983,709,217,782,576,687,034,796,539,832,000,919,391,231,
055,104,621,902,846,858,518,062,512,324,473,987,471,144,346,863,019,207,271,
424,620,952,963,991,171,487,571,497,127,453,804,226,692,840,418,679,233,755,
231,118,726,023,104,397,018,483,886,685,265,792,792,770,628,283,327,032,935,
534,723,803,196,818,764,226,754,089,167,102,842,372,658,189,440,126,204,938,
258,317,280,754,062,940,631,608,836,839,749,402,908,975,223,181,256,686,033,
273,331,090,130,635,504,925,145,773,791,050,984,917,277,062,705,965,092,836,
295,555,412,520,366,974,629,842,315,312,381,340,108,962,573,205,718,638,226,
764,391,766,757,488,382,558,054,238,860,558,544,012,958,267,392,823,227,009,
907,354,813,369,963,991,357,895,229,663,407,565,893,528,256,064,297,274,469,
233,198,463,013,620,503,394,186,332,359,867,034,118,212,895,305,072,206,167,
304,535,991,302,337,293,195,361,951,871,488,212,846,824,048,779,557,483,660,
772,997,267,344,441,147,022,033,836,153,620,302,091,478,462,733,793,528,397,
960,533,492,148,361,324,241,691,144,934,460,421,830,121,589,338,925,843,060,
244,802,790,118,399,030,724,874,106,280,691,071,388,847,899,465,547,977,460,
728,940,583,519,447,349,714,535,216,033,988,843,516,275,597,297,942,404,281,
051,875,706,523,975,106,263,102,851,737,865,084,714,621,394,589,996,280,990,
133,087,555,312,002,836,697,233,061,917,644,346,076,077,723,679,061,388,667,
470,695,111,398,342,256,128,826,760,020,459,119,036,751,981,964,659,195,595,
363,747,600,013,661,796,548,754,652,801,227,031,535,796,792,627,664,595,284,
953,566,991,554,820,727,338,611,607,977,444,712,664,105,727,030,155,806,251,
392,159,181,884,422,813,272,640,770,887,279,252,018,939,041,444,690,168,836,
446,820,654,531,621,500,608,497,948,400,572,078,255,229,100,875,280,203,453,
550,668,097,988,742,711,507,335,720,065,330,871,785,559,505,298,967,886,915,
607,165,625,077,303,762,930,605,300,999,348,615,121,991,884,094,647,259,069,
180,992,054,519,075,362,232,633,636,417,346,641,179,079,600,354,758,765,792,
188,693,823,838,893,568,795,314,864,783,208,539,531,037,955,959,070,014,265,
322,134,360,029,573,745,463,694,636,318,573,478,553,705,885,358,606,994,713,
010,609,267,461,455,700,651,761,929,358,930,310,513,101,807,227,077,381,607,
391,779,987,156,071,246,858,996,077,859,385,323,260,761,630,937,988,874,593,
423,878,671,944,506,348,164,742,754,577,244,724,445,618,098,314,001,221,300,
524,009,077,687,479,613,359,019,058,525,114,929,245,671,673,411,555,630,550,
029,611,812,435,026,523,634,659,751,939,567,920,527,932,172,800,454,242,033,
987,574,364,509,199,021,443,800,789,252,588,346,245,227,113,472,151,260,637,
593,682,809,600,314,315,893,949,874,094,649,663,185,003,005,514,185,857,785,
538,077,922,610,066,172,881,234,360,518,668,728,517,220,947,209,819,089,257,
342,000,613,885,808,504,860,658,273,634,854,452,875,408,946,977,504,764,651,
326,890,295,654,098,403,597,316,846,123,625,314,643,978,976,856,213,140,819,
260,342,036,407,510,947,461,193,434,894,360,334,688,250,384,231,866,554,482,
129,895,813,713,809,991,605,482,468,949,612,266,265,421,615,707,163,569,118,
844,166,371,715,648,468,824,720,511,919,812,003,106,082,667,612,777,439,015,
744,776,875,467,377,424,504,892,755,582,944,232,266,447,720,125,168,418,543,
179,944,809,993,854,277,875,770,673,987,065,769,416,613,221,423,978,407,661,
008,637,747,454,580,898,847,857,184,764,543,727,488,124,579,951,091,508,154,
064,217,656,501,717,434,148,970,726,247,991,366,381,172,975,510,996,334,152,
107,104,034,291,867,512,160,551,237,541,290,312,869,295,728,955,661,696,577,
556,280,824,122,760,130,999,694,465,246,670,025,882,452,873,465,149,829,008,
433,050,404,709,600,287,374,240,123,842,563,605,971,009,444,728,464,920,124,
517,615,548,755,413,141,512,649,238,689,010,955,756,902,392,245,267,774,207,
928,307,400,614,132,588,244,935,834,767,172,123,418,863,539,392,109,516,682,
718,373,482,604,496,641,945,912,762,454,009,874,116,796,070,974,871,115,132,
864,914,749,877,912,020,070,668,196,853,296,609,961,519,298,825,668,291,001,
292,780,118,148,650,349,697,051,207,320,045,706,295,323,515,091,361,205,670,
550,476,019,790,185,461,582,722,066,776,005,722,167,524,222,981,061,695,289,
012,317,567,393,592,369,272,365,292,474,737,220,542,970,571,169,652,800,518,
987,319,843,910,994,473,131,876,442,913,382,991,658,955,301,030,519,549,053,
580,719,029,871,125,245,389,089,002,716,581,959,522,173,404,784,100,400,783,
270,407,066,355,533,761,550,647,929,089,111,602,978,088,977,410,992,663,865,
184,563,571,629,138,752,853,783,038,213,854,330,295,304,737,917,141,365,053,
307,465,903,836,066,580,342,249,100,413,398,194,536,043,579,550,541,476,910,
936,960,026,054,330,035,437,357,053,992,422,138,633,458,242,057,301,109,441,
150,282,046,408,605,209,636,683,232,432,720,077,518,677,323,423,398,050,103,
021,475,156,718,737,691,259,859,966,542,012,655,110,664,226,571,707,595,055,
098,989,219,324,263,462,426,717,781,226,264,260,285,060,760,666,035,774,292,
464,650,442,891,387,276,397,875,156,385,770,028,822,480,106,415,960,419,881,
701,092,967,173,995,454,779,770,363,463,063,609,438,742,306,409,132,591,771,
611,771,736,400,269,573,232,847,217,851,357,003,264,468,046,085,964,544,829,
339,373,657,344,193,552,823,555,181,933,196,525,582,734,566,705,887,724,501,
752,992,792,901,945,036,018,688,359,472,983,172,062,431,240,447,656,949,473,
844,178,089,150,410,900,443,226,330,421,735,791,879,807,183,175,171,033,934,
663,665,806,080,741,496,963,982,646,707,210,955,029,436,415,688,055,030,102,
002,850,350,261,445,828,115,681,221,275,167,510,053,021,997,904,051,869,835,
584,722,747,308,727,060,099,808,734,486,644,357,696,410,800,988,552,766,271,
122,265,860,126,777,809,870,655,735,180,569,430,240,596,032,473,146,504,369,
890,029,326,145,030,908,340,027,700,633,845,170,196,867,321,573,959,055,875,
617,708,994,107,096,556,890,096,467,822,625,747,358,253,233,174,250,375,169,
711,665,998,126,669,260,932,191,862,717,035,088,954,731,837,274,230,616,870,
555,930,729,987,009,605,758,976,278,258,987,869,444,903,659,320,592,925,371,
512,702,901,700,733,702,913,777,863,768,988,877,560,711,155,069,824,253,079,
699,036,235,865,324,806,052,047,994,062,250,633,926,563,400,693,373,105,892,
838,897,519,085,330,315,095,452,879,287,779,839,796,591,916,589,418,464,310,
420,620,063,362,006,070,385,875,872,639,410,726,461,774,810,115,099,108,126,
796,590,468,530,758,649,644,365,433,316,022,385,283,234,822,608,945,057,888,
202,389,167,430,237,065,306,806,967,599,596,962,254,586,435,956,612,626,849,
892,325,340,431,009,915,675,160,810,934,277,099,812,198,704,922,412,276,122,
950,205,495,815,873,924,077,688,662,458,236,373,596,767,390,737,696,883,741,
529,882,701,514,092,936,897,026,904,472,915,779,559,369,401,821,319,496,225,
340,153,279,448,107,581,902,763,662,334,285,871,569,591,996,681,508,874,520,
152,172,220,510,558,396,475,940,911,522,848,443,144,327,731,657,038,255,896,
227,031,440,032,080,889,282,428,611,834,185,920,639,521,011,966,236,464,667,
832,116,445,497,552,047,959,991,389,551,429,560,451,944,771,197,845,146,558,
472,217,033,114,687,339,030,026,979,961,383,112,185,586,728,930,165,266,288,
532,868,433,280,810,258,812,177,962,954,951,797,434,495,773,997,241,845,473,
830,017,260,019,124,728,645,027,021,539,170,779,852,947,952,661,521,730,953,
812,554,985,356,003,837,925,352,078,133,657,117,359,500,466,085,733,714,410,
690,039,225,348,317,818,801,282,107,510,510,693,093,650,828,471,367,947,994,
518,521,157,950,130,106,528,833,947,287,941,922,282,280,088,292,691,664,598,
422,458,033,401,850,807,479,508,191,980,388,696,832,987,393,597,605,737,439,
090,152,308,824,043,693,675,437,592,452,701,255,610,369,108,275,266,749,668,
005,028,042,589,076,507,042,026,679,614,255,609,300,704,759,316,915,501,384,
017,335,572,195,948,794,373,341,069,344,235,724,489,758,081,510,074,782,058,
588,947,551,209,314,494,303,854,737,123,625,758,379,254,288,435,434,266,720,
687,962,539,905,257,144,787,103,772,278,912,366,089,176,064,837,496,529,285,
853,819,938,208,742,803,588,641,499,375,598,130,076,576,904,272,328,184,043,
762,214,399,714,950,187,142,097,230,681,176,379,253,922,195,542,267,120,772,
559,068,886,346,278,320,616,295,273,237,348,422,220,479,643,041,058,378,449,
555,062,065,661,184,196,588,546,606,748,573,856,297,589,874,729,554,673,447,
555,917,799,586,264,833,750,465,590,244,518,783,870,009,486,119,151,069,252,
376,690,273,390,814,090,880,411,207,914,698,667,445,169,822,042,876,785,556,
538,070,977,174,380,031,224,875,689,606,826,601,683,454,670,474,130,179,782,
510,045,459,720,761,597,336,260,237,866,751,333,655,046,560,336,869,636,120,
026,474,470,495,527,756,784,613,321,735,170,719,853,760,685,695,277,294,278,
127,109,522,137,262,341,653,432,690,131,020,904,860,456,085,160,409,839,884,
759,546,523,970,444,713,211,032,677,105,740,341,917,680,112,730,131,905,537,
595,886,818,150,956,019,673,149,734,183,770,041,146,043,863,853,286,344,371,
919,629,123,417,129,984,841,455,580,652,285,620,774,547,323,075,357,738,368,
242,426,898,676,272,117,465,531,025,997,308,794,485,939,606,429,955,768,705,
032,729,704,516,442,411,391,764,638,459,253,511,409,534,431,411,596,782,616,
669,433,112,516,966,514,374,657,995,677,569,554,811,996,823,388,889,635,728,
049,133,743,625,775,298,065,967,218,970,790,159,304,689,587,883,277,550,360,
975,551,078,246,122,980,365,427,568,651,747,441,819,524,774,261,475,151,260,
560,729,668,999,437,704,721,198,844,764,993,071,185,620,300,433,037,879,000,
514,168,687,171,462,113,848,451,622,830,211,206,937,645,247,239,249,211,526,
258,625,274,707,004,394,719,221,045,858,865,401,611,857,713,087,150,321,178,
658,119,445,951,412,429,757,919,575,674,734,589,871,754,115,538,714,719,829,
873,234,794,100,151,023,016,694,816,232,665,777,339,933,441,011,293,900,343,
317,780,349,007,676,523,493,964,093,343,611,727,224,387,982,170,229,754,631,
420,199,803,332,198,698,019,247,877,214,398,835,279,360,130,361,248,360,407,
849,107,982,275,224,583,331,809,413,528,147,779,183,747,044,680,823,908,126,
666,725,287,508,049,484,431,608,959,532,816,206,381,199,360,045,303,045,047,
740,897,271,350,916,669,200,052,020,497,051,681,077,278,663,635,332,336,914,
347,591,713,369,573,725,847,648,522,850,358,490,887,199,631,759,736,202,637,
794,169,744,227,997,026,932,460,066,415,519,737,288,090,048,397,121,619,170,
024,274,357,897,689,656,541,185,707,267,807,077,241,720,689,783,859,034,995,
531,140,755,446,385,140,716,822,514,286,604,517,835,889,131,029,535,667,587,
969,646,725,437,858,504,207,722,089,841,187,225,109,279,801,677,082,162,781,
754,178,576,270,565,913,028,744,538,350,112,446,480,784,154,487,192,562,291,
872,107,925,940,973,637,830,909,720,198,010,320,196,396,352,174,922,227,254,
883,199,356,156,378,344,374,194,611,389,927,361,605,631,709,390,854,442,578,
073,218,789,839,397,312,403,813,159,950,196,717,113,053,636,207,642,537,352,
734,799,483,364,324,850,874,301,643,388,382,808,113,325,224,677,125,996,117,
373,735,767,145,304,629,230,683,023,771,028,663,302,962,899,883,798,925,536,
634,220,803,063,637,801,748,127,759,490,385,200,913,270,300,765,253,928,889,
440,548,505,648,055,074,455,217,251,300,728,364,375,660,907,197,632,609,695,
867,985,377,938,828,115,933,624,618,012,541,092,702,403,199,402,986,851,862,
955,503,083,876,855,061,895,260,288,543,408,520,408,678,400,947,620,220,319,
676,190,745,640,440,836,279,746,168,091,054,014,049,216,768,827,527,683,420,
588,142,051,846,745,637,320,203,377,163,126,573,248,024,055,459,979,112,190,
992,567,680,581,347,939,278,051,938,444,596,781,301,180,275,052,162,225,004,
251,428,569,337,443,447,052,829,433,795,408,473,468,983,531,625,169,402,382,
895,365,260,474,250,311,332,055,980,030,499,137,959,116,669,738,221,164,967,
782,509,717,078,014,657,291,057,711,199,796,967,613,946,038,669,841,101,924,
912,475,073,509,953,001,031,181,059,823,909,439,257,731,622,003,091,901,127,
769,631,601,569,084,888,068,072,688,422,677,312,656,372,748,301,086,079,345,
196,267,605,079,464,627,336,027,536,818,619,373,789,226,145,483,903,921,853,
671,699,846,449,175,491,399,597,358,790,594,353,056,871,101,147,693,261,289,
166,947,338,482,031,645,994,262,741,475,715,998,721,034,578,931,175,513,834,
301,446,883,521,298,502,871,348,052,656,716,448,461,671,785,919,289,106,692,
567,545,030,552,983,594,793,988,192,092,644,630,121,498,905,454,917,607,595,
156,068,220,919,368,287,895,152,944,719,250,156,187,387,401,935,669,954,610,
155,249,575,902,385,904,272,200,506,369,201,271,282,819,252,140,640,080,283,
208,256,442,803,697,938,760,421,918,718,053,151,055,400,358,903,953,433,779,
987,368,440,663,125,918,309,749,689,740,985,328,315,709,663,021,170,129,410,
538,046,673,546,083,710,623,860,433,902,902,154,442,010,572,684,903,706,333,
840,214,164,445,380,422,929,012,812,116,199,424,602,386,244,855,865,205,489,
643,913,039,724,105,850,788,085,787,142,644,335,119,354,719,479,503,117,289,
087,413,739,356,570,406,200,009,135,674,997,513,499,341,308,546,213,712,358,
927,086,083,838,865,544,864,281,274,523,048,122,202,807,132,909,832,269,638,
521,934,278,235,091,331,000,917,559,583,543,929,864,333,997,715,336,895,922,
029,331,519,077,593,089,226,344,966,157,846,747,815,632,269,725,723,853,928,
309,735,649,364,437,476,609,270,449,975,219,810,688,174,177,496,706,609,879,
417,935,215,014,485,085,681,610,065,899,953,645,703,405,240,724,600,655,953,
863,703,484,825,287,317,136,473,425,113,898,834,797,259,782,341,705,609,283,
346,624,581,570,269,499,548,853,451,367,732,606,755,527,953,684,248,515,227,
916,752,277,342,518,851,365,966,790,337,306,874,392,806,087,236,319,757,048,
187,879,548,369,302,447,512,050,632,945,598,821,787,790,759,146,209,414,887,
477,565,568,042,312,079,292,496,780,237,914,294,675,324,927,850,430,517,276,
977,196,594,676,974,008,587,073,078,040,377,751,471,119,144,861,333,025,919,
696,252,331,021,727,494,189,802,574,441,375,265,838,707,808,651,252,074,391,
605,535,339,162,344,718,200,178,848,315,334,540,406,911,893,593,953,354,921,
447,494,795,633,053,948,172,783,230,165,742,412,816,607,755,643,390,952,548,
018,979,005,574,662,169,854,943,164,948,170,747,473,957,820,953,585,462,473,
787,120,733,303,583,697,125,227,453,626,468,868,113,627,930,555,122,079,013,
787,774,650,458,256,801,868,278,442,956,868,792,027,338,013,082,334,566,757,
539,499,789,192,664,119,937,327,043,851,108,006,947,427,482,382,286,904,148,
833,965,427,937,448,874,052,560,308,486,674,946,622,330,163,715,469,280,508,
224,125,738,982,445,031,277,783,974,312,705,975,595,498,699,706,149,512,600,
711,908,458,912,775,181,099,217,896,936,053,782,769,707,905,680,931,244,138,
719,599,418,164,771,751,769,937,104,723,663,088,369,395,818,624,871,542,228,
276,064,655,616,263,110,104,582,426,400,513,120,018,700,310,089,858,802,757,
893,486,540,449,663,574,495,736,979,320,362,798,518,593,239,840,810,775,003,
741,512,218,676,629,193,783,653,431,817,393,030,068,910,570,844,599,395,505,
261,506,439,551,113,011,015,364,924,113,209,158,310,199,137,896,648,308,525,
015,902,478,906,165,699,381,195,665,455,929,000,465,718,228,464,649,113,950,
780,729,289,146,438,552,865,185,929,971,756,484,139,265,334,647,055,800,749,
170,517,904,443,527,577,597,102,490,221,170,795,388,532,461,102,757,233,323,
353,805,788,848,512,093,808,094,592,432,790,631,644,906,260,952,562,893,178,
003,190,715,324,737,818,782,685,545,556,784,414,886,356,015,384,891,032,079,
950,698,619,135,462,859,511,078,147,259,843,518,499,546,285,216,752,047,734,
293,608,093,976,088,938,547,152,299,966,012,510,703,586,541,884,046,455,743,
485,545,145,319,601,902,734,232,938,871,122,098,961,226,122,751,235,619,861,
242,823,709,881,910,842,637,409,371,627,505,194,797,821,724,428,345,403,991,
777,059,504,343,177,021,065,421,859,850,249,445,477,282,633,820,061,523,841,
628,514,482,963,751,239,794,384,241,824,539,872,378,047,547,849,583,793,983,
557,085,903,089,526,663,590,096,130,716,422,899,164,922,344,847,441,880,756,
776,357,859,892,008,609,886,588,472,906,445,091,186,732,073,012,335,753,605,
768,834,917,308,972,203,488,263,915,456,936,255,193,660,075,494,784,883,751,
782,700,549,700,391,204,177,148,103,065,973,303,980,093,389,674,614,346,676,
663,467,491,244,750,733,204,566,661,513,542,794,541,079,357,465,959,621,272,
187,533,172,174,833,014,079,159,298,022,809,814,810,325,401,861,126,837,307,
027,887,021,373,368,137,717,467,679,201,219,844,056,146,202,993,474,341,231,
536,085,187,210,632,834,510,174,713,188,087,278,862,504,756,483,563,582,466,
254,797,316,833,242,282,479,578,055,727,545,327,361,147,558,982,253,584,428,
033,622,174,298,133,005,864,595,777,991,912,800,283,453,504,596,785,875,333,
407,027,472,156,706,276,125,178,418,990,101,374,190,724,985,972,235,310,564,
387,691,361,148,538,793,191,887,917,440,913,877,398,107,403,700,145,248,706,
738,403,941,156,464,581,905,706,171,439,011,767,384,522,120,918,266,472,570,
389,832,845,993,880,277,484,982,952,671,841,951,093,178,547,965,073,008,100,
243,781,376,810,054,476,936,996,072,255,959,773,174,751,196,963,866,514,649,
365,563,433,881,234,807,294,861,705,985,671,209,220,631,652,433,034,025,310,
458,141,872,979,460,104,677,952,236,958,491,910,231,591,744,981,120,434,555,
606,865,362,850,740,799,393,703,957,948,677,911,537,830,864,297,361,102,578,
063,029,914,781,360,849,525,529,598,040,089,693,506,385,110,467,861,125,140,
954,353,186,832,355,615,111,123,976,393,068,015,317,534,609,609,207,006,155,
709,131,383,627,857,607,338,850,793,171,900,894,613,664,570,108,717,232,097,
018,415,150,146,303,857,526,794,498,538,782,638,113,213,263,035,689,006,711,
074,190,775,876,227,399,830,648,176,812,745,226,457,811,986,356,103,554,725,
021,158,786,509,208,138,431,474,958,446,066,871,206,648,088,400,325,610,912,
163,369,946,024,938,023,916,161,738,308,258,720,705,386,259,751,891,905,653,
217,157,824,589,107,412,729,998,024,412,192,886,683,304,318,949,931,343,018,
475,432,363,918,272,493,405,471,703,180,359,707,600,812,773,414,074,514,716,
174,189,303,852,734,397,731,188,448,253,963,287,965,272,759,025,410,825,349,
767,829,483,007,832,322,450,374,107,314,172,646,102,582,053,129,533,620,480,
494,921,065,523,148,579,196,734,394,319,108,058,162,360,097,555,468,987,787,
182,751,039,314,366,858,922,756,810,318,737,867,924,303,690,065,804,555,269,
289,092,768,719,946,698,158,261,241,918,164,892,277,451,780,372,074,753,296,
018,603,286,248,869,389,150,959,056,920,905,672,260,939,049,306,216,505,865,
499,713,178,189,186,325,993,484,331,284,245,856,374,160,854,137,993,540,250,
357,029,812,042,283,373,843,336,022,143,361,827,455,043,526,579,899,153,944,
716,112,020,385,083,422,520,960,716,147,023,905,999,700,597,031,618,283,905,
238,564,108,943,059,489,802,023,347,444,829,972,983,592,174,587,521,188,843,
244,161,073,287,481,301,031,460,233,255,435,177,838,335,261,882,050,606,582,
976,919,739,544,842,460,173,886,471,411,474,549,662,212,372,630,250,121,911,
342,821,576,558,207,284,492,257,715,379,684,877,159,412,815,618,064,675,130,
150,617,346,943,642,271,680,114,761,831,888,487,233,886,189,105,975,895,176,
743,207,555,870,164,379,272,909,277,721,445,770,467,333,671,699,749,897,891,
393,388,837,557,260,520,583,889,382,966,017,964,230,507,522,155,113,508,418,
846,586,538,321,486,119,422,044,015,819,559,001,994,588,116,147,926,217,441,
591,546,582,856,286,781,471,606,252,408,978,128,958,846,329,968,435,164,474,
516,782,730,893,295,428,966,369,963,841,432,181,203,517,191,679,509,562,631,
405,262,285,270,000,307,240,630,904,917,797,880,645,118,228,182,704,966,354,
275,518,706,018,051,018,702,404,365,236,856,439,215,907,113,746,245,552,533,
501,509,558,080,392,232,227,764,607,204,463,462,250,486,090,627,262,688,733,
267,584,478,598,281,895,536,847,457,577,084,849,536,182,849,760,541,500,712,
660,123,966,017,231,989,697,521,511,844,671,196,437,954,670,890,060,911,668,
133,305,146,163,265,905,420,510,198,832,786,288,907,702,630,008,216,329,299,
294,006,526,160,679,845,467,899,163,895,951,513,987,900,298,132,735,297,292,
006,340,057,310,987,462,392,233,940,123,751,328,205,709,524,053,491,244,874,
924,968,935,041,022,159,567,150,883,816,423,534,391,310,562,005,091,258,983,
349,627,637,333,544,966,175,061,219,355,315,862,229,894,264,319,171,672,649,
907,562,072,234,484,452,766,801,400,833,500,144,910,573,284,736,454,342,618,
455,686,456,212,993,935,685,985,712,375,443,335,987,199,526,330,225,113,402,
824,556,843,603,663,311,727,582,383,780,973,414,095,695,030,627,126,159,685,
157,796,747,990,886,627,671,431,657,866,373,854,171,726,317,821,944,463,969,
688,465,213,559,857,736,590,228,456,772,753,682,553,889,930,382,025,788,193,
133,822,413,591,952,125,308,153,144,371,733,229,414,386,198,569,233,229,266,
337,387,864,163,077,839,282,939,859,686,759,314,997,692,784,412,852,181,524,
308,783,588,570,297,835,266,701,769,462,013,074,196,208,937,617,798,254,171,
271,633,719,432,630,608,130,737,372,287,818,608,284,365,847,643,084,669,266,
497,199,791,527,337,280,636,967,436,314,896,530,960,194,442,303,986,941,300,
883,257,376,836,273,749,224,881,857,077,483,021,866,744,094,564,472,511,252,
631,270,129,899,744,045,685,610,391,592,838,889,839,698,571,334,847,903,787,
415,680,052,389,491,325,049,548,741,788,959,070,561,079,623,887,899,430,406,
378,157,609,298,432,549,546,485,637,608,729,254,234,295,999,106,253,119,791,
148,792,319,852,670,089,944,529,016,750,370,790,919,867,023,582,661,548,119,
358,424,379,271,233,119,346,156,932,397,319,095,664,388,154,786,991,699,099,
900,289,119,638,489,606,224,783,183,491,301,478,966,276,967,671,990,452,707,
098,161,608,674,396,905,245,708,234,214,046,947,910,925,769,251,288,762,446,
083,591,615,246,676,639,044,957,307,386,690,243,890,755,200,787,881,497,541,
555,701,947,060,860,581,045,145,883,841,349,420,863,031,636,523,376,040,237,
722,472,058,815,259,029,701,555,335,186,725,538,029,949,646,573,194,634,677,
784,377,042,310,945,735,446,241,582,293,209,822,344,700,183,298,923,394,001,
754,794,404,618,677,078,430,341,409,826,691,819,228,738,492,615,761,806,860,
407,032,483,662,173,163,772,701,830,209,886,824,572,277,926,949,162,695,762,
027,424,201,866,194,283,231,884,895,404,558,204,080,688,824,458,893,164,137,
481,524,896,128,411,222,052,368,913,426,314,978,792,036,822,622,924,188,377,
600,256,158,588,759,114,651,412,698,596,394,519,363,113,602,657,229,712,472,
764,790,582,662,179,931,474,277,794,490,513,539,922,068,268,999,557,161,418,
777,248,269,502,669,902,022,083,729,308,998,385,721,420,449,730,621,519,275,
520,669,480,045,635,593,415,591,725,545,337,475,021,407,392,655,258,346,266,
593,347,425,065,634,074,738,954,662,596,237,891,732,999,889,422,725,602,690,
968,851,601,529,109,530,337,257,347,639,698,388,284,792,917,387,482,213,690,
984,195,858,771,661,722,876,321,814,307,877,952,218,916,609,288,132,271,173,
693,558,616,950,336,057,512,165,876,311,301,954,345,171,366,536,764,584,186,
367,225,630,904,989,061,573,484,850,966,805,506,392,837,618,713,289,815,590,
997,619,961,523,518,271,647,082,048,940,076,012,156,281,276,026,529,503,807,
751,391,246,815,763,387,047,133,613,635,740,293,084,155,328,443,976,812,741,
115,896,513,301,092,401,729,453,793,610,585,025,083,511,421,224,747,204,502,
555,556,031,697,773,149,368,549,484,073,419,191,023,287,414,694,097,274,534,
428,747,856,085,247,364,444,991,970,211,891,339,334,704,939,552,779,215,442,
758,886,107,698,563,389,277,331,651,614,453,133,522,674,696,872,195,593,210,
909,619,271,010,925,644,445,125,174,539,440,842,425,799,757,007,190,306,277,
005,631,360,164,253,224,568,440,209,465,179,009,825,463,260,314,344,733,783,
785,338,438,812,165,345,737,807,826,936,994,823,174,785,190,427,795,876,757,
153,500,752,721,413,690,671,038,865,931,989,891,748,297,902,255,020,709,205,
056,140,066,710,918,001,161,487,730,663,950,302,939,205,516,411,119,997,573,
422,657,416,331,645,500,881,782,457,567,293,882,822,671,987,648,154,833,455,
849,691,584,704,927,672,462,614,221,514,015,026,023,897,209,522,092,768,630,
465,736,985,371,692,973,588,450,950,714,673,946,680,548,771,546,076,709,557,
161,895,844,527,674,647,099,983,774,588,609,569,936,573,994,150,296,565,980,
342,939,469,299,317,236,564,423,265,384,024,156,544,666,901,182,568,830,062,
377,288,053,162,856,986,824,721,474,955,837,714,811,116,734,510,101,721,932,
166,062,230,099,197,460,751,780,777,660,800,736,478,921,388,024,261,507,443,
456,555,441,777,292,212,275,909,435,030,078,846,877,146,760,465,918,421,353,
002,413,749,092,223,799,446,419,587,404,991,420,430,026,862,706,990,196,807,
018,323,899,917,501,323,128,677,942,317,423,727,705,672,551,526,406,457,287,
255,575,719,369,605,706,979,969,435,918,678,121,619,832,959,110,909,662,736,
036,981,924,681,874,080,592,932,258,002,970,950,293,718,540,390,417,892,090,
721,784,407,565,726,372,064,092,336,287,047,973,989,264,349,908,685,768,733,
310,574,148,481,204,977,771,012,213,532,506,735,250,980,964,797,683,143,535,
015,546,758,942,027,629,999,297,171,262,276,151,670,807,606,617,897,473,750,
779,157,525,871,561,416,879,887,281,814,199,209,431,818,615,386,031,937,112,
140,537,539,934,163,519,994,028,899,396,340,942,646,564,398,278,731,808,649,
584,534,412,962,175,096,132,816,406,792,578,432,649,569,180,613,476,465,400,
758,224,579,795,216,395,539,342,355,482,788,429,497,462,024,075,390,319,584,
362,037,783,467,479,864,454,914,365,703,871,322,527,435,952,733,379,985,306,
951,111,234,128,901,242,768,730,988,184,923,157,500,349,133,086,719,746,365,
354,190,960,402,282,727,704,750,845,327,082,107,888,843,735,075,735,494,931,
601,955,385,401,895,530,459,820,575,448,384,247,831,874,389,610,780,138,494,
964,557,653,741,362,611,076,922,604,113,374,296,822,174,252,636,318,436,808,
501,672,533,636,412,646,696,615,731,314,872,467,485,600,280,075,881,626,813,
908,830,478,762,395,217,405,536,427,709,361,368,835,169,698,566,373,828,423,
529,185,644,975,782,451,117,450,287,745,916,256,548,356,922,054,763,741,165,
517,169,350,912,374,488,008,296,770,574,318,869,607,844,813,697,315,560,457,
784,778,372,060,040,146,823,712,467,040,244,977,041,848,828,446,561,495,931,
936,745,493,986,731,689,087,591,831,752,563,210,559,535,216,683,593,407,406,
365,469,673,907,190,452,152,807,676,604,588,942,928,401,112,215,004,285,251,
417,137,815,996,678,092,482,250,085,950,968,467,162,978,925,825,009,518,260,
417,418,207,675,018,244,861,394,296,889,870,233,816,274,252,014,011,077,383,
788,686,908,282,366,260,084,456,365,452,081,758,440,878,518,661,635,824,519,
951,063,664,056,437,822,568,369,148,906,074,586,630,025,419,926,998,966,322,
636,241,609,805,142,771,221,054,785,412,640,893,280,498,597,753,240,806,793,
689,047,475,311,398,996,878,356,782,096,278,016,273,477,849,410,656,172,178,
870,856,711,732,747,952,154,835,951,393,741,111,779,990,792,203,040,887,325,
970,033,685,487,862,090,951,896,547,309,245,925,662,772,993,884,599,798,642,
941,517,210,369,814,268,856,115,940,134,332,241,051,892,560,140,076,128,722,
304,680,808,964,941,811,744,074,042,409,093,001,012,323,645,112,298,008,713,
715,720,291,664,228,416,395,270,265,321,244,718,118,127,424,121,461,154,010,
795,284,209,674,940,114,000,074,522,091,133,615,486,857,966,929,476,501,280,
450,828,072,431,962,254,536,292,757,780,833,211,239,522,478,848,601,269,549,
502,289,767,685,341,656,322,681,173,260,109,969,147,570,362,200,854,409,696,
548,123,155,189,339,282,316,316,496,130,420,829,694,198,403,929,571,397,929,
278,376,713,020,026,008,832,274,752,777,481,468,005,472,229,273,520,161,229,
790,532,810,085,969,490,637,990,033,845,822,086,269,744,323,511,713,110,030,
943,252,882,994,172,217,537,961,606,017,198,961,145,826,937,101,242,345,328,
678,666,281,077,247,466,550,897,125,823,883,584,446,134,720,219,908,962,621,
425,674,996,997,209,673,360,655,270,678,580,266,828,470,366,800,294,793,798,
005,794,274,765,197,651,297,314,471,257,875,897,159,508,965,040,771,074,792,
273,377,875,224,696,454,237,124,232,861,303,634,467,101,313,046,575,492,221,
469,128,645,162,596,569,739,570,992,967,680,769,119,222,248,745,542,858,560,
168,226,090,291,774,723,333,807,936,752,717,192,338,789,054,492,208,170,450,
614,188,987,180,731,273,305,043,262,235,331,105,243,147,175,247,723,764,333,
703,843,772,336,870,133,907,254,693,870,999,802,354,415,071,872,624,850,912,
115,644,983,698,980,498,594,083,684,310,464,294,334,191,214,444,141,836,774,
751,597,444,905,121,866,088,988,568,203,955,731,598,269,956,834,696,949,737,
727,828,142,031,974,453,392,587,896,180,906,888,323,978,014,249,169,587,593,
945,317,227,720,423,061,374,999,790,007,293,708,934,995,549,034,947,021,918,
633,400,193,868,984,301,452,836,312,550,538,688,819,589,081,374,052,485,302,
713,407,177,836,258,313,172,474,322,315,859,076,615,108,182,565,039,568,047,
656,504,982,458,501,796,331,722,281,347,722,800,388,992,074,967,496,332,340,
547,195,344,267,468,851,597,431,682,312,034,634,645,933,789,517,618,500,197,
049,654,452,330,597,645,075,845,171,432,210,899,445,377,149,475,499,216,452,
109,349,307,407,250,036,667,917,325,714,316,157,895,702,976,951,284,664,882,
183,409,146,722,267,714,718,708,043,844,813,308,780,976,771,316,213,859,432,
805,421,821,377,165,724,778,536,436,904,750,004,134,264,993,572,984,609,573,
420,593,119,216,218,365,033,515,652,959,035,705,220,765,784,896,243,018,396,
875,620,040,495,951,418,481,594,723,265,253,776,093,330,884,588,794,030,817,
485,024,740,761,445,290,611,638,312,623,769,050,787,393,657,142,331,699,624,
977,643,313,135,735,018,694,622,611,786,944,648,804,536,933,504,446,932,618,
733,678,547,463,799,436,010,755,648,120,663,880,166,240,448,609,886,702,035,
123,042,040,866,540,158,044,943,481,668,978,399,080,543,042,784,876,879,569,
109,451,831,815,308,635,719,964,640,098,893,620,139,472,311,533,451,732,859,
769,807,323,575,133,958,802,843,834,020,225,372,520,242,429,533,442,744,782,
066,018,486,249,597,069,651,415,809,711,310,015,598,057,383,822,989,620,138,
887,721,841,627,605,797,799,068,761,632,347,592,077,173,380,148,100,029,335,
875,617,421,404,057,948,401,412,425,153,055,185,955,431,403,020,525,892,719,
723,438,066,801,331,588,121,138,890,026,804,124,344,617,399,229,168,256,100,
840,113,044,489,205,812,659,549,485,573,468,142,950,474,999,212,794,529,403,
041,082,907,382,038,019,191,301,145,678,133,890,587,810,835,156,840,998,450,
385,773,451,241,575,004,249,459,690,622,280,409,078,733,747,610,155,133,314,
061,607,577,680,622,800,320,487,967,871,463,211,114,693,357,929,675,191,522,
390,663,398,911,582,485,250,334,159,412,775,800,995,662,001,418,374,381,301,
871,672,061,527,909,830,383,513,885,337,905,140,512,136,390,808,310,711,030,
780,869,584,868,881,163,393,784,924,123,170,456,639,734,018,439,164,461,231,
919,172,724,379,079,548,890,845,105,121,502,026,040,404,109,850,055,784,741,
468,987,914,530,631,004,367,873,230,223,513,328,252,675,417,714,279,406,190,
500,853,063,727,848,940,636,631,056,132,046,651,261,632,893,633,021,573,973,
585,526,321,487,439,080,459,078,582,129,697,680,463,398,957,025,095,148,032,
044,792,411,723,927,035,184,626,928,761,821,014,032,065,846,195,047,082,493,
638,234,127,902,226,554,919,094,016,949,356,589,670,357,845,434,860,519,191,
040,001,564,849,642,229,985,646,404,917,890,345,779,484,038,685,916,687,474,
164,558,696,795,476,270,894,885,771,884,545,133,759,073,302,836,891,733,633,
723,566,191,614,594,198,385,913,297,431,501,608,220,477,605,374,447,546,208,
294,905,720,929,657,632,891,899,839,846,121,860,806,166,439,064,633,928,642,
416,601,912,965,044,916,953,480,852,254,978,924,850,758,338,855,386,938,404,
511,908,989,610,949,462,566,238,271,129,409,328,711,374,296,939,196,369,945,
456,292,887,208,415,565,865,549,436,425,910,487,028,423,159,070,683,605,691,
734,258,635,019,548,223,474,492,156,162,275,947,999,481,771,599,939,200,690,
123,466,313,790,582,701,621,280,024,004,605,504,872,558,289,749,415,487,628,
375,464,889,612,809,339,669,396,664,073,709,731,821,826,908,752,143,864,803,
816,038,010,285,478,480,426,649,646,784,807,866,270,205,586,196,553,693,766,
767,585,541,499,654,443,280,097,077,248,130,573,767,798,628,049,716,971,726,
276,996,300,208,701,137,316,136,905,341,560,632,831,807,870,634,900,830,028,
085,459,106,646,758,570,664,726,459,038,986,263,789,050,098,902,072,794,794,
226,752,102,747,973,883,212,373,414,306,353,701,563,149,356,481,054,872,619,
230,125,701,016,827,633,708,465,020,639,209,386,567,023,143,420,326,802,129,
675,574,794,825,846,311,650,591,785,437,122,872,863,895,085,960,665,551,872,
031,473,877,234,314,745,874,550,674,563,431,949,713,772,825,145,620,592,761,
333,952,299,053,418,280,492,895,096,127,928,135,641,794,092,599,620,336,506,
408,377,255,475,561,480,219,012,363,593,009,444,701,966,158,155,448,313,110,
757,125,108,676,472,727,153,613,770,964,164,996,508,276,510,270,944,778,992,
482,344,079,967,022,295,925,654,910,917,433,692,240,451,780,347,620,429,406,
600,821,155,663,246,101,290,178,759,284,333,260,323,106,552,398,529,736,466,
756,219,203,929,153,571,294,697,120,396,487,416,986,567,817,981,041,990,918,
083,225,505,606,595,707,619,649,130,628,494,393,147,597,427,446,363,545,437,
527,721,381,626,966,657,236,451,467,498,337,122,346,112,847,780,848,872,996,
209,914,223,201,027,112,841,345,116,139,203,581,054,940,372,146,239,737,922,
150,392,145,251,985,090,486,430,959,991,890,241,322,120,248,036,194,387,772,
196,482,955,311,893,178,708,594,181,830,255,569,152,175,534,597,776,536,869,
044,847,823,989,960,300,803,022,995,597,652,316,184,355,005,050,852,862,819,
994,600,915,230,552,586,712,530,645,287,022,720,018,156,676,595,318,642,503,
828,828,246,429,622,805,329,432,324,093,149,143,424,212,490,974,377,106,059,
923,050,607,643,423,673,052,801,418,118,976,070,953,865,535,038,907,169,021,
261,803,633,628,847,244,888,557,913,241,561,890,486,440,268,760,830,860,279,
820,738,821,700,100,507,772,268,903,627,479,143,415,322,696,848,157,775,240,
438,379,111,672,062,727,503,936,036,937,083,263,439,237,151,934,360,951,174,
484,088,293,500,209,183,087,280,236,208,217,611,260,716,469,263,063,752,781,
885,473,682,616,338,097,029,070,977,125,074,711,438,427,858,976,014,062,411,
644,588,373,541,758,254,024,306,025,896,904,834,346,257,298,439,034,253,947,
027,599,985,439,304,757,774,271,781,250,347,248,445,205,813,345,138,218,724,
374,718,005,852,887,018,274,384,135,601,052,308,552,130,569,498,005,785,255,
019,314,452,431,525,798,102,919,214,368,522,791,226,358,130,939,389,025,880,
205,110,318,908,538,532,292,431,036,628,563,649,110,654,113,799,429,108,267,
401,400,739,456,956,774,843,772,027,413,806,474,463,128,308,672,637,256,149,
829,647,442,349,903,861,178,054,251,491,974,693,368,763,104,863,370,196,552,
803,467,985,538,316,311,738,415,226,536,768,197,431,827,461,531,183,154,002,
340,595,139,351,319,813,338,917,107,473,903,921,380,871,094,471,702,299,572,
272,208,826,725,099,505,754,384,633,095,650,061,328,545,685,122,343,554,497,
785,479,094,928,581,368,015,582,066,311,696,751,018,134,088,880,449,921,117,
408,406,476,946,309,339,304,685,798,601,457,990,577,080,499,354,275,206,618,
374,288,694,815,597,246,404,525,993,182,827,805,487,112,327,620,507,837,102,
747,675,683,115,661,100,887,972,036,206,575,604,821,358,258,108,149,543,655,
043,877,510,938,553,712,309,154,459,249,780,107,341,622,018,159,053,695,404,
318,298,309,323,628,399,861,751,032,512,887,678,949,780,894,857,052,146,857,
950,931,525,713,681,414,746,609,986,606,264,989,082,429,105,820,460,225,888,
713,319,592,509,371,682,395,093,074,340,953,239,015,893,586,329,952,731,854,
206,321,423,904,970,839,631,734,686,503,562,670,115,455,826,003,810,490,917,
715,780,344,766,118,856,344,640,473,528,128,407,342,614,452,081,076,486,210,
457,286,895,267,121,329,401,210,061,406,271,288,994,205,510,659,271,982,920,
712,775,042,860,890,044,204,294,840,838,687,096,794,519,757,226,603,882,343,
722,221,040,266,854,187,036,824,962,221,814,338,772,900,940,385,386,107,585,
094,016,183,670,820,685,805,331,646,004,409,745,485,865,426,901,641,283,932,
910,291,541,847,400,478,761,932,287,127,831,421,604,747,211,761,115,006,963,
405,186,388,386,704,385,103,128,942,562,158,852,363,669,943,688,395,655,580,
732,504,467,537,367,162,972,319,783,100,686,485,900,623,635,661,218,307,120,
189,286,890,425,631,222,700,940,038,472,956,697,175,515,984,900,566,959,131,
012,543,360,950,616,723,619,531,967,005,901,423,030,790,369,437,817,235,191,
694,429,033,725,376,621,060,460,463,438,254,513,198,549,995,053,811,288,538,
474,840,541,457,216,554,940,268,716,417,267,153,124,480,946,031,290,102,080,
070,565,398,413,908,543,977,752,324,950,579,977,787,674,696,355,697,084,247,
766,657,232,943,149,730,708,332,520,816,517,036,725,632,028,626,713,033,847,
236,853,110,932,367,572,224,866,793,267,808,584,296,640,803,500,895,032,464,
080,853,929,058,640,346,390,038,769,535,796,388,140,738,649,726,075,995,553,
195,610,694,259,169,366,043,142,243,771,508,588,202,212,245,815,026,456,266,
322,903,247,081,712,877,213,315,252,725,306,654,404,459,310,864,874,953,526,
602,358,761,628,619,641,797,129,309,153,696,204,710,677,328,522,252,933,589,
397,863,763,140,714,219,808,479,074,661,159,958,874,590,576,896,765,084,012,
097,246,184,805,815,639,757,377,459,896,867,567,410,403,941,609,248,452,086,
445,378,167,399,538,076,105,813,541,853,103,043,714,560,644,026,510,737,348,
669,228,717,459,338,775,826,597,971,631,147,055,344,516,376,956,597,629,839,
902,922,873,120,339,618,794,717,526,679,386,336,240,766,222,564,389,176,439,
158,118,894,096,612,433,425,879,992,949,166,968,222,010,837,465,078,878,696,
245,269,885,551,763,637,694,658,091,860,287,906,655,681,946,422,228,198,693,
120,059,493,873,505,413,344,283,971,593,228,145,215,644,839,294,875,177,003,
201,352,251,965,792,340,896,536,001,124,369,299,822,908,996,122,508,123,507,
820,838,963,439,847,948,685,109,454,234,874,212,925,178,845,730,252,478,795,
934,381,703,255,809,945,551,049,177,087,869,990,177,182,275,469,396,578,294,
423,596,423,856,002,949,351,463,725,657,097,217,738,833,521,261,600,637,482,
626,281,212,793,780,806,760,424,980,783,416,686,288,151,211,212,940,281,259,
304,586,347,209,059,345,906,159,142,556,963,003,490,514,479,485,868,412,074,
459,917,024,057,144,126,438,584,196,270,229,808,581,473,995,211,125,164,100,
997,564,169,709,558,215,363,926,078,850,999,753,089,929,222,589,267,771,771,
549,552,363,032,890,568,174,330,876,911,412,373,118,805,249,530,649,130,102,
193,967,813,277,206,846,264,340,101,703,664,301,406,022,676,453,158,747,753,
977,384,297,339,305,006,857,334,612,015,865,645,077,547,907,545,859,621,694,
219,783,633,299,492,102,909,674,782,064,449,089,082,322,021,941,049,566,756,
308,493,705,594,364,972,199,676,326,417,984,313,266,796,256,073,542,731,122,
147,365,708,220,671,894,653,066,662,086,605,170,352,191,773,614,781,937,008,
275,515,297,076,431,957,669,353,547,413,189,083,818,258,283,633,950,763,986,
756,395,472,440,526,354,868,438,111,287,261,198,417,766,905,372,753,478,122,
486,515,548,224,986,001,972,672,305,179,081,746,657,872,201,113,961,174,071,
235,228,669,350,896,706,753,867,056,560,989,576,967,518,865,003,943,064,696,
628,839,358,966,446,667,941,570,870,783,888,054,412,189,555,072,665,099,356,
244,561,010,384,659,133,407,989,200,844,812,667,048,437,993,096,678,363,396,
609,903,169,631,291,679,179,808,010,012,691,528,390,383,599,709,740,809,698,
499,911,927,163,587,752,032,173,925,621,726,661,809,965,902,740,229,977,003,
754,917,706,177,436,858,451,901,032,770,158,397,416,385,433,310,872,320,967,
892,539,819,338,796,405,011,864,114,459,340,785,304,259,925,535,028,047,386,
290,169,311,627,316,414,577,889,491,892,106,134,769,354,831,342,075,236,794,
068,575,117,837,950,331,729,750,561,468,581,802,285,120,066,564,518,122,499,
526,006,361,360,163,232,141,739,785,364,299,474,620,836,775,203,171,593,978,
708,800,119,169,035,174,819,434,741,863,137,499,101,652,406,631,588,898,785,
490,735,920,394,371,897,625,265,415,463,991,543,039,684,461,419,573,494,809,
794,684,615,115,782,152,734,512,619,063,181,972,808,684,959,384,468,145,104,
556,403,334,944,271,645,497,020,471,074,597,730,960,717,743,454,008,906,121,
073,904,368,789,216,125,121,388,380,020,440,686,118,005,305,902,580,191,739,
909,126,715,272,873,494,154,285,930,193,356,569,943,453,917,650,075,719,060,
783,750,146,825,348,044,663,863,574,195,655,296,747,334,495,734,412,771,509,
090,971,481,187,960,463,531,481,238,192,243,482,779,782,194,585,458,732,981,
561,151,043,531,135,953,893,719,166,181,675,308,425,290,647,519,854,458,139,
798,399,261,137,194,952,060,707,565,361,112,591,083,332,645,744,585,981,682,
549,857,559,574,913,622,426,637,593,936,850,040,856,137,952,270,889,981,008,
642,863,735,037,348,412,479,313,701,155,425,639,137,308,279,449,589,016,918,
458,927,273,993,496,387,044,450,695,907,922,163,643,224,360,998,580,105,679,
137,050,469,462,255,654,842,816,797,386,818,012,621,234,716,640,303,067,719,
056,060,206,428,205,998,261,578,349,418,200,396,702,641,618,617,374,117,033,
038,361,286,495,461,643,604,843,194,024,151,659,840,934,957,124,802,475,128,
357,132,356,907,794,633,418,269,290,972,919,604,430,761,063,608,620,092,771,
260,015,064,078,294,220,524,105,799,609,119,366,130,909,911,012,245,813,266,
857,074,168,113,955,487,525,343,526,811,525,030,236,815,611,361,029,729,716,
803,150,504,244,201,179,300,835,842,670,844,323,745,152,932,505,728,727,999,
570,188,142,834,820,586,492,799,859,514,943,821,917,932,511,228,524,604,154,
688,298,747,548,359,009,709,467,357,616,433,239,976,406,473,565,114,889,931,
299,915,605,183,500,943,706,493,258,034,432,314,614,925,072,974,852,247,377,
296,716,475,109,920,270,706,228,217,619,154,346,120,710,653,086,917,178,988,
223,943,624,964,849,355,774,132,637,639,824,427,694,886,063,912,594,540,843,
138,713,509,693,033,666,616,274,064,734,593,184,914,455,197,891,057,297,693,
932,962,976,565,029,289,928,078,351,833,774,716,746,962,134,635,703,387,321,
663,608,678,243,241,757,770,216,561,775,112,213,399,890,265,672,085,913,396,
471,165,118,838,320,364,657,241,784,933,044,442,253,658,863,788,610,953,331,
814,451,717,125,991,256,222,625,865,898,502,070,233,636,333,428,800,302,967,
252,240,254,177,176,120,568,702,694,544,196,552,941,106,713,014,873,108,602,
038,825,342,713,619,560,328,656,822,516,350,723,072,804,092,532,347,546,953,
592,527,696,305,862,890,975,348,680,965,436,107,521,733,193,751,681,072,932,
010,207,748,514,569,435,450,002,011,695,784,202,089,348,961,193,724,968,257,
218,948,459,162,272,517,978,619,059,165,312,609,231,028,139,827,460,428,638,
594,861,200,735,461,647,287,401,031,726,470,664,425,219,773,304,813,918,605,
325,257,854,073,038,334,067,940,660,241,593,247,782,892,701,900,125,764,452,
740,737,347,154,461,693,836,184,743,567,502,539,132,469,292,450,434,621,649,
025,638,671,565,613,395,167,178,694,747,990,714,351,637,360,571,262,075,869,
323,788,623,829,556,551,826,118,744,865,015,548,627,927,120,072,405,344,148,
143,744,925,889,964,699,406,358,773,256,929,538,477,890,302,478,740,847,634,
930,249,212,319,011,811,015,602,653,168,561,513,432,055,528,405,283,149,850,
959,491,224,266,675,664,024,803,359,701,680,957,396,065,697,641,713,132,968,
175,912,568,011,927,892,434,713,304,225,833,318,807,059,330,928,378,717,181,
065,106,815,779,132,835,048,951,350,454,821,123,709,879,453,411,060,211,832,
406,083,766,560,686,156,841,249,163,419,016,372,748,900,203,316,144,626,669,
145,405,135,584,096,435,896,976,523,142,342,197,515,994,924,535,421,343,890,
963,539,043,979,314,705,710,700,181,915,071,183,801,432,704,759,272,219,726,
402,222,921,688,172,842,860,472,162,517,484,741,065,083,997,120,412,307,569,
586,951,490,368,801,745,340,055,776,959,265,208,323,278,954,698,306,568,459,
914,681,547,600,616,359,051,969,781,031,869,028,288,060,177,908,377,432,015,
093,188,819,529,290,113,803,591,071,094,900,863,374,029,566,491,772,363,005,
156,239,625,042,999,717,391,304,979,027,215,987,778,234,480,983,195,497,042,
298,920,517,495,569,962,749,148,719,210,134,552,427,655,092,968,697,272,131,
960,437,367,176,575,975,141,038,379,465,150,361,283,805,265,710,105,767,058,
124,926,655,555,089,729,931,359,893,516,725,592,168,933,400,462,339,605,967,
274,164,191,445,538,394,083,513,655,978,441,502,546,648,786,894,785,226,123,
747,718,986,850,673,359,343,879,205,807,654,597,063,995,077,284,318,505,193,
182,861,894,887,347,016,335,410,363,157,726,214,483,949,047,602,041,671,505,
479,576,913,866,662,592,755,148,036,192,124,795,891,815,856,802,286,820,434,
703,500,903,478,621,051,254,333,902,726,108,610,744,423,994,745,736,099,917,
975,851,005,621,628,614,442,681,295,535,443,019,556,753,769,672,199,640,922,
705,448,584,485,110,221,124,061,285,182,841,354,810,056,461,211,733,917,273,
911,060,356,486,320,511,056,532,420,420,670,528,730,132,068,882,514,902,027,
771,659,344,742,835,086,494,007,598,874,899,882,519,934,346,406,066,546,110,
297,601,311,516,372,982,019,831,993,001,346,587,126,357,411,693,260,155,647,
191,826,675,727,590,836,363,592,396,469,988,174,064,918,972,508,411,903,522,
754,071,334,318,865,500,793,386,038,260,650,425,721,988,184,785,377,597,223,
824,099,478,639,899,879,414,643,639,228,648,288,525,579,601,081,276,579,320,
472,135,974,983,072,978,842,297,532,505,272,810,170,569,109,079,177,876,962,
799,089,314,534,950,047,669,874,786,738,380,867,095,646,847,530,114,683,805,
263,095,395,521,561,552,308,227,632,961,098,635,068,709,375,637,636,071,028,
930,069,861,435,978,541,986,038,694,794,901,723,028,432,692,230,542,475,047,
203,706,523,268,303,741,650,538,915,047,760,428,284,949,498,601,541,166,569,
251,506,639,279,654,695,079,956,980,824,588,359,423,923,231,711,021,737,390,
941,979,028,505,684,481,958,497,035,421,101,248,939,242,543,008,519,740,157,
707,033,212,091,453,153,405,092,015,783,585,773,786,222,375,187,200,406,952,
230,686,729,241,838,848,806,716,618,549,894,191,494,516,844,855,520,239,886,
991,605,134,360,528,554,035,456,853,167,767,108,446,693,078,342,923,791,628,
172,987,552,189,103,694,672,949,351,330,891,050,236,037,377,674,919,344,405,
415,193,650,261,654,775,292,009,079,402,728,833,557,287,735,401,283,742,652,
257,624,480,003,279,968,025,289,123,804,655,636,799,117,371,513,267,276,843,
182,709,679,577,067,505,920,208,766,985,378,719,906,339,171,765,688,596,800,
713,811,224,237,356,661,235,604,750,121,879,937,545,342,704,394,515,694,955,
343,985,850,947,974,510,896,572,225,888,293,301,832,933,799,055,829,195,874,
451,890,244,114,528,875,365,312,890,943,113,461,787,648,240,402,301,274,125,
710,400,692,539,013,477,147,062,659,531,360,481,303,136,701,639,922,493,030,
079,040,555,759,568,295,639,645,455,544,448,853,558,523,527,744,481,828,276,
032,039,581,034,711,568,972,400,104,042,372,908,345,156,001,847,847,092,374,
592,989,864,486,158,959,224,617,598,999,443,931,456,680,732,974,464,005,729,
239,471,359,132,565,696,150,562,832,730,083,211,360,952,519,490,515,962,966,
914,491,781,521,181,310,098,530,104,037,712,776,359,061,189,047,471,015,084,
190,545,292,577,974,288,015,535,147,713,500,677,868,713,751,916,479,795,411,
740,239,153,976,115,775,598,022,498,380,785,422,020,365,851,821,947,490,578,
373,208,114,537,959,647,713,200,379,224,717,107,210,906,136,370,195,588,144,
853,047,965,395,248,057,932,396,464,733,888,198,743,530,050,738,520,338,814,
994,007,188,083,456,894,552,029,741,536,091,025,069,559,677,270,467,562,500,
418,502,921,778,033,616,469,481,209,415,709,766,908,202,649,239,462,800,896,
305,914,825,651,621,499,565,909,863,926,682,270,101,526,189,434,878,975,387,
779,203,388,872,924,332,940,848,650,367,769,138,070,055,985,748,626,247,130,
348,945,068,215,120,314,480,963,683,646,034,877,319,619,758,960,856,625,841,
523,148,859,254,571,237,312,343,775,912,471,222,737,706,134,977,924,304,593,
020,511,541,096,290,810,046,249,245,793,947,107,020,254,250,134,823,730,025,
491,989,853,075,679,135,161,789,464,828,284,595,609,936,684,840,987,258,240,
893,621,960,427,266,842,088,999,654,499,304,139,735,686,859,540,819,358,913,
722,314,637,248,414,100,667,309,468,002,405,286,456,582,092,738,810,079,672,
862,722,745,682,105,660,192,232,836,452,616,274,933,242,099,438,083,753,289,
906,553,076,336,280,393,124,381,326,483,451,702,340,761,074,620,599,163,588,
455,207,250,819,401,132,883,810,328,549,685,201,781,640,783,674,949,931,649,
365,163,399,952,316,490,473,614,698,495,674,044,544,928,049,636,902,845,308,
091,491,713,466,912,244,006,592,594,419,423,385,158,016,113,317,438,999,897,
821,463,138,988,638,903,475,326,101,264,025,103,979,184,056,674,306,396,989,
156,756,122,387,018,595,747,194,830,983,133,232,314,217,638,063,276,054,825,
082,111,736,341,740,691,315,374,315,331,019,047,885,657,526,172,926,312,605,
967,823,499,798,481,977,146,157,599,558,076,964,338,929,288,281,948,755,019,
824,884,342,950,759,666,644,999,231,411,948,927,867,383,072,588,340,588,916,
983,978,917,342,908,248,094,438,535,247,581,700,516,614,002,733,731,066,629,
831,618,850,105,545,061,346,844,145,768,195,976,932,153,272,072,668,851,139,
025,546,510,357,903,855,016,106,144,735,112,795,707,652,065,343,692,717,563,
101,098,411,590,233,751,341,749,277,718,839,912,894,048,140,089,584,146,470,
235,909,427,132,319,663,028,748,986,667,855,261,700,426,923,831,898,504,563,
495,145,583,068,584,314,731,777,128,695,665,491,420,297,630,015,596,379,966,
240,806,954,917,639,649,103,596,463,793,887,222,601,905,082,142,492,509,811,
577,650,605,054,375,486,037,679,328,559,638,474,657,328,400,763,811,189,823,
695,278,742,084,711,713,108,845,359,994,896,220,557,218,785,233,815,983,698,
552,430,941,337,123,256,091,016,014,469,814,780,454,018,701,643,602,778,308,
783,530,129,907,088,538,513,286,303,747,090,737,518,422,260,108,406,192,171,
616,461,392,795,709,526,104,095,131,382,617,452,457,888,182,731,143,246,401,
384,212,003,326,713,466,350,554,132,194,180,513,371,350,104,571,594,927,113,
252,307,927,055,115,549,044,613,241,792,179,732,806,424,396,440,999,414,245,
416,570,157,128,427,977,270,965,560,510,759,055,546,574,377,688,362,957,499,
711,663,624,876,497,050,967,002,729,523,516,074,229,851,979,932,186,725,139,
366,235,993,160,381,619,254,849,323,713,357,196,124,713,797,088,753,380,604,
562,217,611,168,910,429,311,202,597,886,141,384,695,644,064,204,944,331,535,
806,307,436,520,739,285,311,834,221,533,429,116,380,697,519,454,205,195,197,
026,461,129,172,593,998,170,969,123,890,882,041,789,688,424,504,682,456,480,
604,943,088,727,977,639,015,002,937,863,972,441,317,665,627,935,307,937,181,
538,757,042,352,069,080,924,180,309,375,834,315,317,652,235,616,086,138,367,
498,731,013,304,520,613,549,449,439,716,291,693,798,463,844,175,276,398,531,
547,218,588,411,386,733,162,609,395,883,149,307,231,714,869,480,300,932,763,
934,553,576,530,833,603,307,545,521,605,043,586,156,509,892,168,104,227,376,
525,828,488,459,726,443,994,255,194,500,035,723,609,350,492,915,467,333,609,
874,141,473,084,392,516,929,382,411,657,106,329,058,316,594,825,644,054,827,
258,466,699,658,964,134,490,873,908,924,225,031,851,228,652,077,326,915,652,
709,869,430,613,748,894,555,011,636,466,465,404,049,650,863,786,383,526,078,
795,603,435,907,389,885,153,313,809,951,891,035,538,155,026,373,512,286,737,
042,461,495,755,797,955,668,180,641,441,180,023,407,800,466,688,261,967,198,
979,462,793,289,098,171,268,979,759,516,206,328,762,726,288,804,845,238,386,
671,775,070,512,204,472,358,179,850,180,744,240,175,709,484,616,333,808,029,
545,894,683,934,723,987,654,279,357,766,165,470,950,042,807,184,018,019,586,
055,224,418,838,574,550,868,038,830,359,720,699,803,407,701,541,234,915,824,
945,051,691,644,570,306,397,799,651,667,909,365,461,720,712,657,885,805,506,
976,252,030,685,106,221,592,666,982,488,248,451,851,637,328,181,037,448,293,
894,293,967,068,875,082,605,281,816,683,546,496,256,926,342,671,107,332,837,
491,287,240,896,896,588,617,195,514,374,141,513,115,854,786,010,120,411,451,
900,473,492,134,577,618,974,039,820,741,962,313,025,614,205,096,253,512,965,
393,186,167,817,521,961,798,220,634,576,097,728,048,853,933,954,290,862,845,
898,708,963,212,396,162,930,055,775,535,424,204,292,558,133,623,080,251,874,
744,722,229,987,751,019,371,929,633,471,627,653,863,516,688,058,241,192,053,
283,346,890,816,856,354,604,544,893,495,605,806,482,577,782,507,291,850,639,
704,292,375,905,873,723,733,825,990,144,824,871,516,171,079,237,745,757,652,
940,115,920,155,363,104,466,161,908,057,542,791,416,084,874,616,497,083,348,
402,288,820,646,194,712,394,616,711,362,596,106,720,485,004,220,300,997,242,
213,894,701,608,455,536,226,840,059,305,886,221,023,888,750,028,278,727,956,
460,097,197,086,347,354,918,204,123,282,633,039,627,927,301,593,954,192,478,
743,880,068,429,200,894,197,905,984,690,857,587,186,980,521,459,230,352,098,
442,607,626,013,198,235,071,387,431,365,508,144,997,701,652,565,025,316,302,
156,525,741,427,862,450,464,794,602,379,500,361,948,823,600,008,632,328,589,
729,896,504,155,672,455,227,411,896,227,487,918,680,918,962,430,543,714,875,
004,650,966,683,809,497,819,750,868,216,541,827,772,686,683,412,302,739,050,
177,815,944,193,138,937,267,748,238,212,557,244,569,220,175,916,874,411,487,
667,704,793,989,266,249,962,854,815,075,445,272,241,220,274,352,331,370,239,
133,642,942,751,217,954,713,650,908,546,704,896,867,480,532,342,977,840,491,
258,051,779,481,793,634,053,829,824,135,125,531,942,349,209,874,510,252,015,
956,664,337,048,400,969,394,248,477,600,084,228,327,982,953,951,316,393,717,
489,114,703,968,277,712,377,818,154,396,864,435,626,166,883,355,647,339,021,
074,814,941,693,778,570,156,346,269,763,719,010,680,584,503,857,932,143,710,
910,178,570,776,104,550,433,134,459,139,913,293,753,079,361,193,575,651,669,
090,434,974,379,898,782,452,677,092,132,631,919,663,971,313,299,217,732,414,
723,697,403,027,101,690,270,773,011,166,304,004,303,493,947,811,517,586,366,
985,929,587,112,440,428,333,821,822,731,028,478,794,955,815,472,259,662,812,
322,267,203,585,331,423,073,867,038,495,053,562,822,209,807,377,954,702,066,
054,380,133,256,769,274,165,333,999,050,315,843,564,379,283,578,810,639,154,
433,000,596,030,461,908,970,529,958,425,213,243,811,239,998,828,022,115,192,
972,148,244,356,390,563,043,529,800,266,007,123,304,382,868,136,265,318,643,
552,923,373,043,996,893,032,072,229,857,410,435,293,839,465,184,965,192,354,
368,832,585,115,337,239,752,963,869,609,010,756,831,122,257,503,659,080,242,
688,018,031,668,090,092,429,510,882,423,479,628,348,707,847,011,204,673,270,
061,995,360,641,859,821,447,752,279,551,877,212,765,143,634,935,043,658,577,
521,739,106,139,887,044,026,401,209,052,362,996,023,714,185,878,075,566,118,
869,634,294,205,879,796,729,610,507,750,531,811,072,552,726,180,563,708,761,
510,763,988,475,266,518,868,154,669,578,284,932,666,856,903,405,369,628,162,
572,200,239,505,633,454,875,327,285,089,265,165,462,140,512,135,167,609,141,
754,473,608,635,471,712,809,648,310,107,965,913,843,085,414,596,408,253,598,
829,065,966,075,333,976,398,542,617,305,476,363,266,324,409,480,989,025,715,
713,256,815,495,927,790,732,858,705,664,241,489,827,739,827,742,168,188,828,
449,477,751,780,507,715,099,291,426,394,942,156,300,447,279,407,583,873,327,
541,470,564,572,025,439,188,703,867,924,668,599,880,047,891,160,719,134,838,
811,943,056,018,311,974,455,758,683,912,721,436,890,097,108,472,852,940,957,
941,917,989,954,059,023,369,611,726,382,989,536,145,459,966,417,643,151,382,
726,619,949,904,599,729,279,646,561,660,896,411,747,735,637,830,093,528,099,
934,016,216,432,090,498,485,718,874,599,739,047,567,253,356,716,279,886,358,
032,851,570,452,249,737,505,698,494,762,940,160,260,451,793,642,820,084,840,
610,920,730,165,126,305,734,385,905,789,426,764,788,720,626,377,956,311,625,
728,647,268,586,145,120,171,621,808,813,214,796,862,072,135,862,284,470,268,
408,383,544,899,305,678,675,822,497,499,301,397,136,022,490,828,865,968,050,
281,302,447,092,012,899,716,423,985,508,825,928,042,934,031,945,402,990,877,
520,577,380,464,536,707,809,536,421,103,908,516,333,525,324,262,274,108,263,
045,041,741,393,608,970,815,306,102,536,590,903,617,562,597,320,274,339,917,
267,441,659,214,749,321,904,721,238,636,955,382,326,150,030,061,035,481,022,
785,307,748,359,219,909,572,694,049,478,950,594,285,560,005,795,344,881,684,
505,864,550,992,041,965,823,002,588,000,736,049,779,633,402,918,674,472,564,
592,552,262,638,732,961,263,014,737,194,684,129,038,175,198,595,433,164,547,
178,690,841,144,764,867,318,403,402,792,616,318,284,391,851,094,375,277,457,
854,129,296,666,410,552,614,659,068,085,996,751,941,135,046,836,086,337,492,
422,318,107,398,082,667,840,939,691,852,560,910,545,263,491,867,901,302,182,
691,868,774,974,434,161,267,316,410,422,881,428,687,418,406,195,823,890,070,
610,593,157,532,062,536,049,458,938,428,915,261,493,730,828,148,713,308,915,
281,257,991,488,387,391,748,014,077,130,860,079,910,179,909,582,705,034,287,
977,056,963,787,108,958,205,010,478,733,404,558,411,447,895,693,387,556,198,
491,756,431,266,104,935,944,843,034,131,418,553,240,659,009,317,372,959,122,
518,214,048,779,414,861,560,551,464,248,247,233,480,819,875,223,573,495,757,
445,651,244,154,992,629,680,956,782,164,961,681,849,842,083,120,567,933,765,
056,318,671,222,150,096,441,821,633,181,015,049,722,865,261,791,758,506,176,
010,871,587,479,341,991,427,838,208,914,992,313,663,997,813,760,104,512,825,
830,939,952,465,088,491,980,444,595,166,004,475,399,017,644,453,035,023,254,
154,233,427,203,046,801,639,703,734,904,451,662,382,877,982,104,829,562,875,
414,943,045,108,837,179,530,843,928,855,279,929,793,811,745,388,971,425,445,
437,893,846,054,179,339,501,105,998,471,524,603,230,123,994,592,324,597,713,
761,300,251,076,159,992,083,419,556,648,314,117,903,268,180,790,874,857,414,
253,623,280,427,182,586,380,777,444,789,746,348,991,943,001,409,542,381,855,
804,003,306,405,618,129,557,172,741,761,427,862,106,177,952,711,614,498,558,
522,309,507,232,145,936,404,896,081,749,061,441,024,932,137,084,455,098,708,
095,149,994,711,443,286,411,970,619,323,211,143,690,664,615,378,329,638,941,
450,330,022,803,927,570,181,238,289,157,424,480,820,058,495,385,359,918,414,
750,649,201,435,243,520,895,885,836,247,492,199,451,292,199,984,330,553,617,
628,282,704,191,073,916,271,186,178,005,890,425,132,600,528,543,386,797,947,
240,708,832,329,707,642,198,566,540,194,981,983,492,362,389,848,866,265,312,
505,814,527,617,995,825,892,845,271,851,359,066,026,682,855,271,400,088,210,
168,405,288,470,866,214,005,283,641,178,171,766,190,377,903,740,852,271,263,
072,427,668,515,649,948,098,440,378,526,768,141,722,158,623,006,450,116,738,
872,097,326,035,996,807,435,662,010,640,807,778,550,801,392,022,627,335,320,
131,483,528,480,269,579,141,946,325,092,721,481,823,293,857,849,851,137,953,
980,838,300,543,098,851,113,047,659,543,614,089,751,396,784,841,719,831,268,
750,781,860,551,111,431,418,625,534,930,361,670,961,886,722,851,909,027,304,
849,449,239,273,695,092,520,148,098,429,883,025,868,711,199,829,489,038,539,
356,079,155,537,470,163,268,123,030,678,839,629,785,783,503,375,128,941,267,
331,313,016,969,910,368,662,179,778,035,135,378,661,448,663,201,006,483,249,
509,418,422,665,250,609,492,458,226,346,465,169,091,390,378,756,299,381,778,
520,330,513,222,182,982,292,677,213,736,665,651,939,299,384,823,792,507,957,
465,776,859,303,041,454,876,513,094,230,259,126,162,462,706,268,937,023,042,
390,704,681,039,631,487,487,503,122,071,443,183,437,802,223,845,570,013,995,
142,858,877,118,283,964,596,123,341,765,150,874,067,897,666,830,078,177,196,
049,067,726,751,830,026,503,171,244,900,599,118,321,346,920,792,485,921,589,
665,201,635,252,847,123,949,377,244,735,325,516,051,030,296,881,003,259,694,
123,098,866,357,073,057,181,373,832,537,053,352,612,012,568,495,548,788,675,
017,569,769,438,254,971,735,212,215,263,866,528,499,887,162,396,339,081,846,
498,264,774,350,441,964,978,715,809,465,950,428,670,098,488,818,522,583,481,
126,130,170,012,490,487,611,244,985,173,346,638,272,703,301,832,810,210,936,
451,226,926,290,121,578,027,553,235,908,216,464,869,540,949,543,328,180,883,
766,796,861,775,967,347,788,692,556,213,014,436,819,961,712,775,675,412,027,
846,417,902,747,048,028,723,173,938,362,846,653,597,930,330,410,236,565,069,
553,659,822,902,886,631,065,401,498,068,110,357,914,212,556,211,148,665,571,
341,924,458,924,090,332,143,828,416,499,582,885,224,894,600,608,721,555,083,
144,748,246,128,061,508,259,340,700,143,604,073,093,375,260,776,293,487,806,
158,352,839,275,427,835,230,956,577,823,730,263,448,859,478,232,921,867,889,
455,906,265,030,790,548,413,457,975,211,574,622,237,273,925,610,876,310,719,
533,118,831,082,391,198,332,804,616,981,403,958,569,607,583,281,493,801,095,
725,700,771,641,898,767,800,709,505,059,574,426,497,983,862,946,539,081,695,
453,068,529,057,320,935,457,662,484,096,595,997,103,242,526,279,620,838,271,
695,778,521,968,908,044,966,076,018,596,344,764,827,779,902,560,378,637,284,
684,125,042,383,934,319,151,359,142,441,387,056,497,955,307,575,323,548,942,
138,987,923,128,490,913,808,732,621,870,824,323,953,476,151,453,381,389,856,
225,503,739,769,103,198,680,646,000,076,487,224,288,264,380,084,558,807,764,
072,042,453,937,744,936,073,082,842,669,190,683,997,183,664,369,485,551,274,
628,504,482,667,632,619,714,063,140,068,617,644,187,459,393,265,151,559,354,
656,457,439,167,716,568,492,388,610,583,072,457,129,073,616,730,832,689,888,
023,823,463,314,930,627,815,911,739,078,560,085,922,701,181,949,813,123,623,
421,308,104,622,463,082,792,864,233,743,826,308,111,778,577,131,221,100,885,
786,630,298,636,494,659,816,591,996,061,146,597,369,703,063,570,204,094,024,
179,380,280,952,393,452,101,769,275,081,667,226,301,866,845,194,539,749,065,
616,567,653,011,107,692,566,717,182,972,967,311,541,341,419,067,100,708,777,
197,663,939,147,564,023,999,997,194,168,093,741,851,576,258,466,376,501,002,
656,668,758,408,588,527,737,853,956,881,646,232,965,013,302,963,898,523,060,
587,402,488,874,858,682,013,400,480,308,479,484,294,449,149,324,835,806,100,
878,057,521,096,934,291,054,229,202,733,529,135,019,109,497,195,518,355,364,
987,716,062,655,156,555,095,096,764,150,751,337,074,902,936,246,373,591,885,
162,736,838,366,937,485,354,830,572,506,408,791,160,147,064,306,973,814,493,
783,613,339,923,855,827,752,612,077,249,049,418,313,937,020,767,627,272,944,
045,495,055,293,396,563,531,473,694,200,860,463,712,087,358,458,258,170,369,
946,014,156,482,420,141,125,477,994,332,991,296,646,818,492,382,068,638,206,
624,403,410,892,579,781,527,977,374,483,850,769,531,851,784,736,217,335,663,
135,167,664,030,527,818,008,969,932,170,824,126,036,229,742,129,224,365,020,
053,979,168,235,172,882,433,128,260,984,497,425,591,911,978,224,667,621,369,
049,858,615,027,060,944,828,874,151,584,497,897,252,126,393,567,732,076,455,
227,385,876,034,356,231,790,338,324,124,933,768,625,217,731,376,260,181,915,
762,943,187,123,609,506,945,483,997,395,136,425,803,380,746,754,774,394,372,
933,155,929,957,007,379,806,120,767,198,691,943,089,263,803,549,056,559,451,
844,254,562,037,191,393,881,776,034,398,027,680,035,633,336,794,632,283,240,
651,351,529,697,020,299,157,670,230,644,918,966,162,537,257,501,552,382,327,
269,427,070,536,979,517,765,275,172,276,135,708,928,887,270,749,898,744,263,
874,710,174,054,358,783,186,397,960,721,737,033,699,276,495,314,818,142,167,
689,284,754,937,081,401,327,119,413,431,532,629,444,303,932,803,123,318,991,
311,698,345,486,027,034,835,747,903,220,562,128,675,005,322,367,496,482,747,
328,713,350,099,095,483,219,886,021,333,445,744,133,366,247,776,448,081,187,
652,950,461,350,449,924,722,197,771,904,473,359,628,607,975,199,486,695,587,
947,109,473,104,554,330,233,301,126,634,372,416,896,707,924,023,510,165,224,
375,482,442,762,519,825,581,737,089,448,082,338,250,158,238,205,135,924,378,
490,547,342,771,932,252,456,831,691,137,226,695,564,365,938,008,901,036,896,
322,807,800,892,625,883,642,980,093,762,718,277,281,365,087,455,996,217,753,
500,888,556,734,258,737,583,836,299,015,656,337,731,333,092,612,361,151,475,
996,531,660,208,439,357,031,507,999,669,767,566,005,574,067,909,418,252,203,
172,124,279,273,113,666,721,653,020,585,667,965,361,331,477,386,865,990,271,
289,993,671,734,316,864,896,782,590,471,735,667,496,068,850,032,514,694,768,
004,323,022,088,459,027,658,722,142,782,134,612,081,620,040,310,226,575,144,
319,558,456,730,105,983,284,599,868,345,118,543,643,300,727,545,676,902,414,
451,785,341,162,096,600,845,705,636,950,251,746,710,468,997,094,427,557,972,
884,420,471,034,329,759,170,437,106,074,490,325,217,591,495,328,047,459,510,
131,331,707,227,588,445,757,086,918,567,282,342,586,514,968,381,054,625,103,
587,136,814,851,304,251,628,917,330,732,139,975,786,940,742,796,893,305,302,
718,411,040,578,897,399,710,248,243,544,662,006,367,415,606,218,365,697,074,
264,293,634,880,931,622,127,172,798,279,374,667,518,620,017,450,047,320,979,
372,862,952,542,991,905,700,672,617,221,393,649,404,213,043,919,734,086,059,
838,221,635,448,397,643,541,635,674,103,752,398,444,735,413,802,655,553,057,
697,850,499,751,140,629,340,115,826,345,316,358,216,240,215,594,763,425,152,
715,516,865,879,136,815,492,464,253,142,099,781,274,580,463,109,974,674,541,
858,787,794,031,222,207,328,521,125,864,316,530,842,127,394,227,682,528,698,
047,956,615,045,064,816,167,379,903,056,565,042,732,130,940,692,317,049,614,
745,562,284,233,426,458,364,514,801,262,514,519,638,742,090,907,150,265,587,
944,457,896,770,892,219,405,519,755,863,807,050,934,104,562,900,399,878,032,
870,954,287,239,637,428,865,121,002,338,054,215,977,353,666,198,790,386,079,
616,316,780,481,391,239,069,238,049,427,095,693,587,774,127,074,923,007,770,
785,268,124,678,838,402,077,734,555,827,329,303,710,332,273,378,825,205,685,
000,664,590,756,619,288,923,971,592,709,052,134,456,675,774,977,479,140,668,
008,703,883,275,069,167,089,184,248,882,296,303,107,004,819,599,149,029,544,
896,275,792,155,156,998,573,139,250,267,506,177,540,195,159,838,807,725,028,
137,544,926,962,292,475,253,909,696,148,109,742,101,247,212,827,500,201,409,
138,381,297,719,595,585,867,008,023,582,778,210,044,533,608,272,820,053,012,
480,568,448,195,920,047,840,937,427,193,376,837,350,924,627,386,144,984,380,
873,568,966,450,923,689,229,157,539,977,186,320,644,631,329,001,305,699,022,
441,233,084,115,315,836,606,724,344,453,228,029,357,147,138,202,552,887,258,
531,732,595,430,165,839,912,065,681,711,406,382,326,757,989,620,440,721,459,
125,422,218,507,507,792,232,006,419,950,921,804,900,716,912,742,252,589,982,
340,152,434,806,898,886,179,809,626,931,653,403,760,863,902,996,926,553,403,
079,292,918,604,498,728,640,647,942,105,364,349,501,016,063,224,160,086,105,
075,148,185,197,968,385,075,550,750,640,418,717,221,567,733,051,373,553,957,
103,781,624,528,622,827,893,309,724,196,454,066,405,172,907,714,130,853,416,
971,337,178,425,679,742,333,766,423,316,756,130,998,815,242,037,042,521,772,
173,277,257,323,592,129,306,498,040,935,289,419,918,322,471,268,803,485,720,
709,283,589,789,401,934,089,199,921,955,029,163,884,773,300,147,768,893,408,
656,257,229,910,231,650,468,458,089,785,209,139,144,956,280,945,018,894,607,
193,636,299,377,327,271,071,285,962,184,259,364,737,643,816,966,164,421,865,
873,276,102,708,209,475,573,566,093,524,615,405,011,983,537,844,827,893,683,
078,205,615,173,027,834,200,520,064,127,842,989,659,458,627,174,597,712,549,
363,421,697,959,372,102,787,742,336,987,637,470,885,907,063,126,113,420,467,
379,613,444,173,722,260,589,094,328,813,153,023,781,041,315,767,982,459,302,
375,966,980,258,003,261,144,730,213,929,311,844,061,306,917,251,596,562,269,
160,554,489,910,905,636,252,429,123,263,024,575,879,170,120,595,526,362,819,
896,692,963,735,139,670,062,838,744,016,727,003,760,565,823,590,198,782,303,
470,392,213,565,038,542,433,114,762,979,559,293,926,069,910,600,748,427,714,
034,767,386,831,299,053,697,855,758,601,548,358,122,055,046,531,562,312,995,
845,819,516,737,473,711,297,094,936,598,158,608,935,366,799,536,534,247,707,
751,869,110,230,437,488,324,550,222,544,097,416,236,106,884,506,694,078,266,
458,317,282,217,293,449,149,246,859,687,087,203,505,366,858,205,113,586,103,
918,519,450,910,391,749,527,634,624,055,237,221,342,676,692,259,927,942,408,
830,909,866,499,857,360,262,364,021,629,806,615,720,206,467,064,877,621,190,
069,548,375,918,970,387,702,107,151,353,951,409,239,063,131,621,507,213,587,
805,850,613,464,592,310,773,217,124,013,974,637,659,633,948,774,294,842,047,
960,599,475,556,683,305,873,936,899,433,014,379,727,921,975,400,389,919,116,
352,722,677,816,821,682,780,767,556,454,033,979,575,828,778,141,849,988,092,
117,064,117,398,372,741,134,673,032,722,068,480,969,211,103,614,134,339,761,
749,315,809,600,942,823,374,068,688,023,853,410,441,609,202,258,490,886,596,
612,076,120,471,353,114,671,755,437,538,002,640,208,612,387,956,098,659,885,
571,832,933,215,038,999,887,550,951,331,269,732,921,199,047,903,315,566,860,
563,510,654,794,085,166,369,114,363,120,739,704,336,936,065,641,632,623,896,
845,856,295,853,979,720,713,043,358,439,172,462,661,569,883,896,835,707,292,
585,418,482,357,029,790,591,714,965,744,454,785,239,562,238,297,380,980,627,
154,335,348,959,478,932,930,383,754,630,543,051,271,972,820,987,041,047,416,
800,127,431,703,542,871,281,310,090,084,582,308,871,020,314,694,278,086,738,
148,907,635,795,967,758,752,080,995,394,575,315,459,454,550,535,640,232,113,
903,996,608,226,583,317,514,672,580,834,922,581,576,764,660,643,699,324,704,
037,081,529,924,208,232,481,291,714,511,647,837,428,054,235,466,873,625,104,
419,786,732,762,258,586,334,140,272,179,716,367,627,116,842,443,012,131,324,
686,241,709,721,707,528,183,284,739,885,821,338,540,123,112,571,495,155,546,
453,082,501,845,904,294,071,946,143,205,872,302,860,346,197,587,972,384,379,
797,357,785,823,386,226,364,595,874,378,089,672,911,154,966,572,904,105,891,
444,005,235,757,121,442,613,332,014,031,057,787,516,924,127,897,560,492,271,
646,360,472,599,749,489,803,835,655,219,147,226,229,842,711,224,702,706,171,
186,275,612,253,037,704,678,292,913,831,063,563,743,761,736,394,459,934,948,
787,258,443,920,189,932,573,175,492,133,163,216,674,012,150,598,132,222,698,
247,224,676,474,417,498,369,419,471,761,444,072,078,023,796,980,707,745,221,
915,502,675,162,306,789,278,084,470,158,401,949,280,389,234,796,293,706,800,
268,395,847,801,537,895,672,673,266,093,482,323,088,107,511,176,745,166,067,
614,673,968,420,892,305,872,868,684,295,692,271,820,478,321,138,687,554,660,
688,659,153,568,687,496,906,350,114,295,526,704,446,636,266,605,621,248,367,
604,938,455,628,846,790,784,195,127,299,093,502,369,455,223,120,754,794,066,
497,789,625,555,796,350,668,589,980,986,231,775,806,953,462,765,305,970,744,
709,862,974,646,991,468,560,292,040,031,612,811,042,792,182,861,527,502,406,
643,738,709,006,520,434,855,344,550,452,905,583,837,142,433,620,719,961,700,
099,620,908,873,103,430,436,069,247,276,450,360,600,851,709,715,574,918,103,
720,127,301,393,260,159,940,817,626,876,888,020,994,156,273,503,323,586,723,
463,897,019,037,871,809,793,819,577,356,073,846,869,033,389,440,530,500,169,
253,713,464,581,487,341,254,461,095,316,855,514,123,271,918,563,093,071,343,
250,055,839,820,999,844,349,808,983,808,157,788,941,264,345,221,028,498,825,
471,542,431,345,896,582,366,703,980,734,592,494,193,780,172,364,187,019,846,
084,704,801,894,797,129,416,250,052,962,819,759,662,846,970,570,944,828,840,
277,275,610,353,256,597,328,848,407,921,039,801,663,255,355,230,616,987,161,
223,748,634,994,050,144,053,509,641,890,707,423,388,472,420,850,390,924,645,
168,146,557,222,264,927,503,902,100,580,702,469,924,694,746,757,562,028,004,
708,774,988,307,656,796,114,352,877,086,019,120,219,309,090,817,721,059,614,
206,280,793,950,346,667,526,912,877,786,070,971,333,299,744,301,491,857,876,
191,673,994,313,135,109,328,800,646,047,084,151,968,843,151,092,718,849,875,
931,706,690,816,378,269,192,241,123,549,882,389,770,368,178,829,305,173,811,
693,193,823,008,887,521,872,406,504,724,429,220,081,531,838,992,736,961,738,
648,518,097,904,384,485,731,066,982,332,825,763,683,120,302,347,441,572,284,
729,045,597,318,513,234,133,146,327,700,248,719,291,971,527,068,784,541,181,
968,338,777,225,480,953,945,814,973,003,401,146,597,360,578,235,464,464,400,
333,630,569,621,831,685,845,873,510,286,724,671,390,877,308,809,859,046,712,
436,457,766,956,758,046,136,834,298,185,079,995,107,193,022,201,174,274,208,
077,328,970,734,149,340,217,697,847,486,063,483,498,085,858,913,494,830,672,
353,549,597,658,599,274,940,118,485,808,502,285,841,765,052,421,414,838,147,
477,043,269,155,536,892,085,002,870,985,241,809,042,594,751,095,119,843,762,
436,475,510,088,607,896,179,449,277,579,198,082,489,771,539,900,719,558,481,
096,610,742,544,125,153,606,162,926,501,555,015,850,390,664,988,149,315,273,
453,211,724,104,751,881,071,748,091,135,985,472,987,105,760,142,203,282,881,
084,146,750,437,124,729,480,920,578,954,430,829,871,186,051,099,666,484,657,
965,128,120,033,618,200,327,709,271,823,636,353,327,416,877,804,031,639,688,
243,986,327,008,870,504,803,958,981,585,918,087,836,675,363,745,338,613,732,
958,915,842,824,166,594,553,575,989,875,934,630,695,111,788,403,267,509,359,
974,638,611,330,630,533,049,715,947,223,775,821,311,839,473,036,009,597,676,
572,861,415,304,349,303,875,398,435,914,310,091,809,894,508,447,137,826,523,
728,753,153,239,632,070,304,954,541,432,677,261,616,883,235,474,289,342,712,
535,378,680,943,740,540,982,220,282,114,982,459,882,675,681,339,477,504,700,
382,003,851,109,101,481,175,153,805,507,425,712,115,214,429,065,853,300,291,
119,841,886,020,508,034,074,267,693,294,961,489,770,571,810,320,356,337,547,
090,896,283,433,893,761,227,609,693,686,682,099,092,859,595,928,088,611,879,
802,684,473,169,345,792,075,480,396,954,948,970,134,886,643,582,711,825,796,
428,285,546,175,240,785,868,122,576,850,018,780,996,637,452,585,842,417,573,
526,101,802,983,123,887,097,769,803,899,647,935,598,196,645,058,509,920,513,
091,642,894,670,222,245,815,639,686,416,758,276,833,372,398,937,885,555,667,
522,510,357,604,912,918,023,536,988,038,527,445,473,039,308,203,361,249,919,
967,900,316,684,606,294,718,773,613,147,862,095,133,098,658,163,832,186,989,
863,372,435,971,695,501,348,708,480,755,127,825,246,264,670,698,071,777,371,
011,831,464,763,022,707,122,153,399,274,490,297,692,939,764,376,669,127,486,
617,816,557,367,637,328,674,309,291,824,196,390,850,863,378,643,729,297,200,
342,840,448,756,044,613,469,734,064,432,270,039,550,929,255,603,083,582,832,
008,665,164,880,379,433,470,066,806,486,685,649,597,565,904,242,455,161,217,
246,700,255,531,483,188,029,261,136,451,613,932,087,390,376,065,458,007,375,
052,930,063,887,054,530,053,706,379,792,013,736,517,237,608,549,090,722,892,
411,869,163,537,819,088,414,896,628,590,960,127,035,032,294,517,393,044,363,
176,660,090,519,496,254,035,337,682,404,840,032,956,994,745,820,399,794,922,
552,118,878,170,335,357,510,011,597,223,792,104,706,146,096,306,470,532,173,
201,059,925,041,689,738,508,874,939,288,857,046,996,960,699,290,018,193,924,
959,407,214,304,792,708,112,527,368,307,511,684,717,574,117,572,851,325,269,
057,634,211,651,233,564,460,717,286,688,333,359,996,900,187,433,172,377,660,
767,578,816,210,987,030,182,132,063,058,492,440,142,728,976,307,827,205,222,
606,520,930,484,728,072,621,277,801,970,805,605,343,738,068,705,661,959,274,
843,624,393,503,164,474,527,635,151,831,156,315,809,429,076,806,225,350,820,
053,048,508,563,408,768,890,476,431,654,430,676,404,303,651,122,679,294,831,
415,781,728,882,467,258,263,605,479,027,630,971,650,437,906,230,836,590,294,
603,384,692,330,211,973,020,201,347,869,118,184,825,475,232,991,742,885,855,
674,395,009,544,440,105,034,264,733,364,833,656,814,679,728,304,179,341,695,
356,112,901,297,149,306,638,368,765,399,020,549,846,404,100,538,611,232,161,
920,379,063,888,112,803,064,150,754,476,072,812,400,222,656,714,599,528,793,
947,937,086,909,231,471,803,464,123,969,795,318,815,016,523,331,368,182,416,
810,133,172,621,688,839,840,299,840,509,301,197,352,266,580,735,630,515,302,
637,519,860,561,432,259,626,576,585,619,843,775,201,261,478,773,959,122,975,
074,661,884,059,996,306,131,432,213,077,170,296,302,062,189,210,038,795,510,
496,222,750,755,761,768,702,670,527,939,787,161,204,696,169,942,449,104,327,
235,178,562,900,077,230,512,591,116,552,324,697,955,646,070,744,217,028,837,
784,043,990,260,346,169,578,085,322,644,418,192,055,142,571,049,491,897,421,
179,393,050,374,607,081,292,313,843,171,145,264,326,824,798,909,797,212,888,
950,933,764,797,607,786,052,091,714,573,332,497,656,562,712,742,288,360,949,
266,872,969,939,233,675,962,316,034,652,112,168,014,915,092,088,912,799,485,
777,160,390,985,077,231,338,357,919,065,610,352,886,265,911,833,962,894,118,
411,215,199,594,911,750,085,312,892,947,517,369,477,960,500,523,712,225,928,
521,699,597,415,434,855,038,933,236,557,831,641,191,090,149,768,493,481,740,
401,148,458,216,312,107,288,995,204,991,368,471,499,814,623,921,603,761,992,
894,464,818,552,862,896,807,954,734,607,884,418,190,953,039,962,350,983,638,
912,825,231,908,212,408,532,592,918,870,464,496,604,119,806,158,850,494,955,
697,095,782,909,791,284,995,392,729,622,047,789,084,151,655,470,782,764,105,
892,402,984,876,204,889,103,173,271,218,673,307,905,669,871,991,806,104,143,
136,380,407,956,451,659,275,609,826,750,002,581,626,554,100,309,452,934,983,
739,253,165,197,847,491,635,246,988,634,370,452,488,726,591,520,555,722,344,
510,255,134,510,076,929,961,319,420,850,015,569,134,853,817,829,750,762,170,
118,070,660,193,475,400,950,088,761,060,709,348,959,899,374,482,294,789,128,
329,181,351,414,079,247,709,652,613,166,917,046,652,780,524,764,130,961,755,
552,811,115,820,395,993,276,190,293,591,154,297,699,198,659,403,678,581,960,
466,012,830,545,552,490,007,671,181,974,284,511,986,227,211,118,923,211,414,
263,450,693,760,678,676,399,690,062,784,804,424,662,109,291,694,197,874,878,
255,858,153,609,379,248,188,578,726,881,515,160,334,425,664,722,042,724,263,
930,909,460,936,713,585,817,256,348,857,629,645,817,767,458,966,993,653,818,
823,098,396,273,859,159,967,800,625,723,565,639,000,273,260,402,053,282,238,
731,479,903,391,303,574,461,933,574,601,548,663,376,510,475,080,891,221,351,
744,247,283,091,628,598,142,738,848,715,495,330,473,944,399,671,488,243,988,
296,229,940,662,387,913,806,044,797,948,808,990,016,365,724,972,929,432,742,
040,653,755,809,574,805,024,001,836,370,963,203,086,563,546,091,909,209,314,
979,759,152,969,728,781,631,517,524,465,492,500,852,214,724,406,743,569,221,
817,357,344,405,278,080,906,570,274,306,040,846,323,107,467,435,264,289,727,
813,590,420,176,826,445,465,228,320,848,314,864,962,057,147,609,456,929,633,
911,033,148,784,965,051,202,830,393,054,560,730,895,381,809,569,726,633,889,
664,296,872,201,354,747,612,639,531,914,087,607,081,256,367,673,011,275,912,
268,705,103,159,463,640,891,907,304,538,978,048,021,399,438,511,155,405,024,
854,293,258,054,822,624,759,367,481,379,099,322,654,428,808,152,991,103,428,
804,453,789,365,569,747,145,524,139,715,367,878,372,098,640,692,987,140,646,
318,141,235,939,616,492,004,808,621,996,274,519,742,444,227,077,817,204,748,
014,186,214,256,509,206,174,071,112,631,380,851,682,993,896,886,187,156,982,
953,093,870,579,926,563,066,488,599,988,849,682,966,908,832,651,965,635,335,
146,974,087,884,702,905,900,243,439,209,230,908,961,824,309,295,915,566,438,
905,632,949,776,874,125,331,761,259,955,245,326,305,748,464,924,599,164,984,
992,712,158,850,575,235,288,693,458,736,457,246,515,815,671,741,944,937,856,
508,257,214,910,645,355,967,379,132,505,173,825,829,846,810,856,098,486,744,
218,998,319,711,157,746,784,290,764,683,389,833,435,144,275,187,722,555,393,
365,303,641,124,196,273,199,221,994,175,441,876,333,516,903,215,343,553,254,
849,057,742,137,135,025,900,917,437,025,188,867,012,567,014,457,969,511,502,
145,581,793,388,034,648,034,610,215,138,489,853,555,230,792,960,569,274,063,
937,099,421,196,455,103,343,393,304,090,616,468,408,138,043,867,475,301,438,
014,572,927,968,546,498,217,449,408,257,917,720,836,642,255,036,520,462,026,
050,676,423,193,318,025,420,244,735,181,103,074,130,750,003,985,874,892,792,
931,391,369,696,216,469,301,563,983,203,011,730,125,922,343,394,830,144,099,
737,412,179,650,413,282,103,734,858,549,944,430,532,714,817,336,853,883,600,
418,641,590,129,797,355,133,426,597,546,112,535,908,862,950,620,956,198,885,
595,119,304,975,714,510,238,059,705,009,868,002,783,796,669,224,735,246,407,
104,740,039,219,962,856,919,085,129,035,110,326,891,290,461,373,272,792,001,
162,684,299,583,543,351,352,550,390,616,994,301,911,766,566,101,713,185,985,
920,401,852,724,927,743,969,137,868,319,546,869,419,539,881,594,592,574,759,
712,594,390,453,673,419,689,803,227,177,526,611,084,705,520,410,311,824,720,
685,334,289,650,834,202,112,751,666,603,239,597,722,405,684,246,784,891,132,
193,226,820,760,109,722,711,061,347,491,262,003,681,413,593,814,266,848,344,
396,822,647,011,758,404,106,433,518,040,554,400,921,358,915,795,076,379,113,
752,987,945,052,804,364,773,861,641,115,277,162,871,572,465,602,650,813,792,
359,374,950,744,594,205,420,378,633,278,730,902,056,291,127,501,994,220,667,
456,801,189,711,987,183,336,178,591,811,115,479,471,681,428,592,834,553,025,
355,034,268,064,097,722,822,325,382,957,895,801,841,986,726,607,370,729,187,
970,569,127,284,938,760,452,650,710,122,974,260,951,845,153,525,098,091,150,
477,159,201,632,077,294,685,569,838,134,362,007,408,980,092,388,929,671,044,
521,168,184,245,951,926,993,784,585,015,695,075,136,514,487,510,141,165,921,
808,499,524,576,070,846,018,569,557,583,199,962,371,734,676,444,162,209,305,
278,567,001,622,956,268,818,012,303,335,726,788,654,703,477,406,360,682,059,
608,775,912,396,118,682,452,730,415,783,298,420,045,410,584,280,139,101,545,
812,894,078,417,530,159,705,284,818,837,716,488,619,703,788,080,722,857,870,
248,489,724,374,221,467,978,855,753,394,161,865,792,760,462,101,977,939,362,
965,401,756,487,989,980,636,970,320,736,801,099,695,252,228,705,698,541,057,
604,261,174,796,288,537,530,178,331,193,613,522,957,080,672,304,101,548,223,
564,693,406,901,827,703,948,026,490,038,627,494,161,360,847,468,109,395,656,
851,068,033,000,991,135,374,284,532,296,896,674,044,885,278,441,119,971,920,
228,805,522,134,037,803,499,456,530,525,545,802,161,395,957,196,031,232,372,
835,384,808,490,681,877,466,653,831,757,036,456,159,809,314,162,213,112,498,
643,563,788,162,137,430,826,049,468,761,164,094,565,591,106,700,503,539,130,
289,989,240,065,708,541,300,349,220,652,378,943,072,518,656,830,356,288,668,
824,747,231,191,047,497,682,684,735,231,344,420,265,213,765,788,185,895,898,
231,725,580,733,147,378,806,647,348,090,588,663,519,773,628,940,671,092,673,
475,785,146,090,139,775,213,846,574,929,121,439,848,549,757,349,334,114,364,
275,814,111,351,229,281,523,572,127,073,507,058,169,947,222,589,918,497,811,
767,916,197,179,751,171,799,363,463,441,283,785,646,608,920,324,052,081,415,
930,546,799,359,376,765,327,839,442,924,530,515,532,821,134,833,985,904,906,
965,083,240,475,919,994,126,362,940,020,342,772,755,307,471,765,153,418,443,
073,685,708,580,668,447,309,336,869,295,230,214,616,163,415,475,432,672,032,
054,822,665,182,825,328,184,798,768,432,940,999,862,764,874,397,070,988,680,
277,000,439,578,814,759,541,005,061,469,694,371,130,536,927,609,794,277,521,
541,963,026,128,461,055,936,108,651,210,142,995,110,857,260,959,931,586,753,
313,435,001,702,442,409,988,785,264,949,494,462,174,964,469,266,471,893,580,
992,752,545,812,960,866,062,629,968,683,068,570,804,735,705,601,954,195,486,
822,678,384,312,072,461,844,001,510,109,323,245,693,760,642,757,692,604,622,
412,801,537,463,750,352,956,251,358,361,768,441,535,998,979,145,854,730,674,
844,523,830,284,704,112,226,115,049,113,763,644,778,574,140,890,019,318,722,
246,436,130,640,573,470,218,930,064,710,615,124,026,124,397,524,200,114,289,
679,366,424,982,623,396,469,488,385,479,445,873,492,324,746,218,925,061,690,
401,971,579,392,985,819,047,264,186,151,185,567,637,343,328,405,194,753,399,
025,627,050,392,121,705,271,063,689,437,445,514,753,398,059,695,502,119,746,
715,805,131,108,059,473,053,918,612,379,335,726,995,923,741,596,287,134,163,
170,210,593,253,474,670,835,381,801,678,671,580,842,344,377,997,620,941,271,
063,871,170,434,313,363,830,348,718,479,297,835,231,279,061,792,288,102,927,
952,609,467,798,041,145,090,207,465,809,495,923,256,435,427,262,821,901,189,
696,946,019,670,526,602,783,858,715,906,020,301,839,681,198,170,559,890,648,
232,724,949,824,864,334,373,175,337,416,731,287,879,899,436,365,606,462,839,
224,400,017,532,143,414,196,737,223,294,418,052,667,569,793,415,240,320,593,
272,936,836,808,035,557,173,698,730,130,246,174,235,841,886,686,819,518,447,
340,811,523,376,259,092,317,859,830,122,977,172,806,839,789,174,504,755,370,
916,910,457,881,955,183,461,393,515,750,766,133,682,915,322,031,463,200,666,
473,586,032,990,199,978,618,796,972,463,599,891,432,079,359,145,379,192,882,
578,189,650,672,669,273,416,284,713,828,551,862,748,486,917,538,184,712,798,
922,832,093,530,343,126,089,120,764,406,641,533,944,384,954,632,702,842,040,
576,045,041,563,947,363,925,027,560,505,438,613,744,905,599,988,241,303,244,
465,527,540,209,574,935,521,694,850,978,120,528,148,620,541,271,147,686,908,
666,757,303,495,418,313,267,793,259,141,674,610,253,712,799,556,748,798,632,
052,575,869,139,543,386,886,447,592,374,574,594,281,838,444,118,829,730,325,
511,302,669,582,043,369,836,037,348,460,293,384,967,642,528,435,009,731,958,
745,684,716,407,884,358,045,284,559,993,465,111,148,622,705,943,340,567,732,
701,376,456,493,531,025,250,118,043,790,420,250,478,725,792,026,098,171,156,
150,170,157,254,729,345,313,489,907,212,782,419,612,296,514,391,620,017,280,
999,896,108,339,702,116,063,087,874,293,452,927,004,652,774,722,121,103,118,
369,530,787,693,333,191,636,150,009,667,081,637,951,091,112,724,891,878,040,
987,348,742,985,270,049,267,985,157,621,071,018,347,339,797,347,783,735,896,
188,753,031,820,664,198,360,329,447,850,153,960,839,206,143,676,595,636,299,
969,289,603,043,302,572,953,681,678,700,970,313,094,884,532,149,046,164,558,
082,586,072,006,405,928,306,623,483,786,681,404,383,693,015,749,707,467,749,
234,493,922,772,231,762,758,512,518,065,972,844,142,643,679,482,166,334,767,
182,438,957,778,347,327,520,018,898,133,348,855,527,376,094,816,177,544,744,
175,441,871,990,316,403,808,530,868,167,174,543,586,146,777,983,345,895,624,
792,903,969,489,646,043,147,844,697,574,814,725,585,231,438,375,527,253,614,
334,116,887,354,710,221,713,314,136,991,771,760,431,124,485,144,126,089,441,
953,655,903,179,003,399,308,311,752,345,873,420,270,511,569,342,585,855,798,
470,037,302,059,331,494,814,850,959,934,993,764,419,273,776,402,865,875,089,
962,447,380,039,067,490,259,155,753,743,210,441,890,714,299,398,416,917,017,
846,034,365,816,973,605,774,669,526,895,067,135,108,496,523,782,983,126,309,
112,516,731,711,773,580,143,667,523,896,518,562,989,566,694,514,458,343,897,
479,404,189,948,785,237,754,984,692,232,296,330,726,962,883,201,154,593,428,
337,502,789,761,382,997,992,893,468,178,498,691,346,566,647,667,427,869,334,
153,596,811,519,805,721,261,938,637,429,836,731,071,189,875,255,233,329,707,
169,676,943,265,268,974,073,786,703,889,174,433,801,303,940,240,340,283,355,
351,224,840,926,387,429,144,977,313,992,426,954,103,643,092,651,423,231,796,
480,959,762,012,843,717,060,676,888,634,434,752,374,733,997,908,131,860,135,
418,289,289,774,440,892,771,381,978,542,564,211,293,682,361,262,177,242,159,
923,397,924,606,499,070,997,550,914,445,232,066,090,899,158,812,446,170,131,
764,986,018,313,376,186,768,823,004,838,362,630,524,848,534,994,086,486,318,
867,085,202,861,605,801,498,289,261,701,042,721,504,741,237,249,649,557,890,
391,084,473,195,414,210,587,362,697,690,492,224,850,216,730,501,181,338,146,
078,284,194,200,158,686,448,674,840,754,549,770,717,281,393,979,151,490,391,
662,379,837,143,180,767,559,911,868,254,865,945,424,514,626,057,420,087,840,
298,220,343,876,957,812,909,888,584,281,867,113,783,653,160,557,290,279,571,
016,167,490,874,802,048,452,763,164,743,666,645,168,236,056,518,763,884,341,
720,377,157,269,543,078,667,762,172,909,680,178,080,672,477,187,524,011,291,
760,478,733,976,634,458,917,388,425,146,399,594,765,366,863,002,905,768,449,
348,737,014,571,289,294,108,067,249,661,831,719,711,020,707,475,778,510,033,
641,191,302,133,553,718,865,689,517,378,926,926,399,997,669,490,866,003,977,
705,286,154,763,431,184,930,643,602,957,102,075,161,989,341,991,858,699,411,
396,954,403,054,432,730,958,857,251,322,413,221,406,937,481,339,803,375,025,
542,190,200,896,606,621,899,104,438,422,722,325,868,360,731,575,666,230,329,
702,843,992,538,779,585,175,153,531,438,245,735,237,143,509,466,866,497,702,
131,469,029,132,811,469,876,655,657,987,265,195,856,076,216,697,942,309,733,
652,965,911,603,503,432,512,150,082,861,187,492,027,243,351,748,490,389,159,
583,376,515,321,527,316,078,426,289,494,426,178,181,834,362,256,629,463,154,
498,754,585,607,654,300,829,804,360,422,476,358,860,876,560,938,543,013,628,
472,936,871,793,542,149,379,504,624,280,259,989,515,781,585,517,261,184,043,
307,190,483,803,798,656,953,304,654,922,008,005,516,671,374,139,555,335,051,
928,615,465,590,431,943,349,694,105,721,218,144,922,894,899,132,051,468,786,
876,045,017,564,078,953,386,048,815,926,784,600,807,983,179,303,816,750,784,
022,360,682,155,063,984,901,606,601,336,754,122,648,377,706,181,180,533,715,
999,419,522,384,896,485,652,593,405,158,436,102,311,619,930,539,148,618,983,
843,545,626,814,621,929,043,654,628,795,451,947,943,771,133,788,360,018,970,
096,906,056,481,589,427,585,445,291,277,192,577,665,622,574,768,909,706,816,
854,461,335,644,542,178,006,398,192,112,131,076,651,731,384,540,333,846,926,
752,329,019,256,613,186,958,025,231,467,403,424,747,294,815,408,142,030,775,
020,646,895,342,519,379,133,490,803,997,863,880,833,080,065,209,603,423,230,
635,019,737,000,444,879,918,491,269,666,393,882,489,001,120,893,375,064,926,
381,026,881,874,553,938,606,671,056,585,765,296,350,340,171,900,518,755,311,
810,837,675,186,572,882,327,203,781,981,760,546,071,427,581,910,035,787,927,
881,032,920,545,913,664,071,366,404,899,330,545,701,065,244,972,441,769,050,
174,923,462,546,659,860,991,260,283,243,065,960,918,110,501,506,109,356,535,
542,763,276,482,872,584,407,788,472,498,898,607,491,140,137,383,708,475,146,
889,024,361,289,663,273,341,012,502,139,651,358,687,390,270,631,989,831,583,
723,632,514,409,435,672,403,740,637,332,692,145,420,944,708,327,423,555,371,
511,170,071,447,175,895,603,969,025,627,725,354,770,285,517,785,656,056,972,
568,201,590,150,758,242,102,452,002,585,563,518,986,079,523,037,478,338,121,
267,390,196,393,723,980,612,025,863,535,370,845,005,465,892,192,135,545,399,
067,929,816,290,263,417,737,366,188,021,441,711,790,317,997,897,614,464,623,
138,822,397,209,063,294,481,915,875,339,743,899,132,539,590,445,172,674,873,
524,437,665,145,676,649,944,199,386,202,466,490,958,970,687,410,620,091,520,
522,042,157,745,716,778,817,443,871,934,700,691,817,383,880,360,901,877,331,
867,379,234,155,067,444,654,447,210,740,875,604,475,558,564,918,140,441,643,
853,980,633,699,915,236,543,382,374,826,401,690,960,943,957,240,761,165,464,
370,856,295,719,379,293,172,371,657,729,406,190,275,580,308,150,283,701,187,
273,977,317,753,195,668,680,935,427,989,726,416,502,088,745,055,424,107,307,
971,681,117,403,979,453,151,573,444,265,917,348,007,871,632,450,572,767,265,
120,105,781,867,959,813,745,870,049,735,877,328,415,277,479,952,509,147,880,
262,100,723,339,183,525,961,080,353,556,928,232,469,997,917,207,036,746,583,
673,273,189,449,572,930,329,892,708,600,258,080,599,236,178,264,546,711,435,
137,236,095,449,371,419,632,782,526,424,692,398,124,356,879,351,676,981,069,
296,998,960,875,362,731,594,188,617,143,649,207,961,164,046,691,192,840,237,
225,161,348,008,111,038,355,966,198,456,410,411,860,602,124,329,769,935,127,
112,163,884,410,078,669,095,273,489,175,432,212,114,110,735,907,148,890,006,
277,134,952,430,300,727,578,708,260,907,251,411,267,913,310,915,499,719,492,
012,048,703,854,361,070,442,211,520,919,638,378,560,345,400,077,970,330,823,
730,790,032,752,318,024,818,763,704,021,477,498,926,713,693,360,528,196,145,
759,759,076,055,047,743,067,341,060,935,085,855,931,700,494,656,926,279,291,
942,009,487,600,420,877,256,668,327,711,425,122,767,297,350,873,725,993,984,
015,275,400,562,889,625,081,718,726,177,765,824,886,527,021,686,903,994,329,
971,958,952,363,115,361,328,394,961,122,727,541,927,069,092,963,964,500,459,
313,401,405,411,437,612,050,239,450,435,456,110,232,486,073,080,702,067,503,
436,178,423,724,271,788,203,483,248,485,062,181,355,303,682,537,032,476,618,
976,089,870,673,627,989,980,262,317,823,828,605,701,933,803,666,462,650,746,
208,931,405,270,284,697,325,933,039,299,072,382,046,839,910,229,616,560,931,
269,245,639,694,092,156,793,155,280,890,530,800,648,045,153,712,066,791,313,
223,235,251,044,460,332,065,952,984,158,512,788,168,034,711,166,367,155,694,
340,016,231,788,537,399,489,183,765,861,820,635,910,295,930,405,673,929,384,
835,030,877,569,263,826,255,077,648,185,712,946,759,427,024,505,808,638,965,
310,700,790,169,426,409,888,642,066,395,764,079,247,237,647,556,337,452,878,
022,668,772,385,857,635,709,266,223,088,994,010,901,995,121,535,746,731,616,
930,439,338,868,103,892,018,220,507,059,679,213,759,009,458,262,277,149,009,
242,916,010,870,588,706,669,680,804,435,344,423,806,891,434,114,239,095,918,
956,753,241,323,341,279,303,826,876,908,360,995,460,549,413,869,668,749,621,
298,968,140,987,072,909,583,994,041,876,873,950,180,919,341,433,354,587,922,
525,822,557,302,852,124,976,584,528,997,505,182,936,426,326,641,985,434,069,
921,001,888,802,275,849,250,141,738,420,850,148,176,068,864,835,143,648,586,
134,653,119,276,084,193,120,508,751,277,550,250,443,131,496,584,366,698,889,
616,078,628,781,956,101,364,653,990,028,667,639,635,063,615,903,809,187,955,
544,709,072,584,480,483,767,769,893,098,772,409,787,023,498,733,577,589,867,
563,569,206,748,264,089,464,291,144,699,139,463,415,290,654,333,727,985,158,
319,082,219,551,359,526,862,101,302,313,945,576,114,998,364,812,174,607,269,
024,903,163,389,038,764,247,144,959,442,244,628,717,976,840,141,826,268,312,
561,697,064,429,784,325,602,371,396,866,799,098,221,286,880,961,046,878,338,
767,081,399,333,347,379,497,025,311,209,023,951,635,656,368,611,191,711,825,
200,897,269,293,521,096,042,551,141,474,324,080,650,735,716,434,514,547,373,
726,826,445,123,210,559,609,931,987,171,580,577,299,163,796,416,485,168,835,
177,267,984,632,095,144,191,911,623,475,685,479,669,829,261,963,304,572,864,
111,895,951,374,580,120,516,543,053,382,467,860,498,522,436,059,853,292,905,
902,151,437,432,394,152,133,809,514,715,862,988,231,021,217,990,885,435,023,
143,443,774,672,145,653,504,584,496,711,624,384,921,489,013,168,349,600,481,
482,428,536,320,285,899,354,625,278,545,561,960,520,952,195,444,262,869,249,
492,975,671,273,261,125,680,623,480,327,733,116,890,264,451,589,193,326,582,
843,297,252,604,367,388,078,998,645,500,548,637,170,179,862,403,248,012,944,
426,834,661,292,789,787,105,067,213,828,617,933,686,255,493,034,923,621,755,
517,516,091,822,222,078,229,952,713,013,118,415,680,951,944,389,370,736,454,
699,508,415,887,094,619,185,417,116,465,868,338,751,681,724,000,188,273,479,
853,732,080,333,763,067,871,267,688,936,384,702,112,148,119,137,582,961,975,
987,670,360,069,229,820,757,651,328,490,732,882,748,627,090,239,092,287,700,
582,981,926,350,017,665,747,113,650,251,976,198,067,701,412,812,932,044,226,
926,031,141,618,489,955,940,109,535,788,039,489,629,460,407,400,789,952,127,
334,107,503,324,518,091,423,535,745,139,048,965,869,720,251,980,899,920,209,
624,099,644,206,674,769,281,524,739,103,515,225,428,406,134,164,389,540,186,
256,423,773,913,836,183,392,265,461,847,660,234,807,471,628,302,057,243,754,
420,362,829,304,156,163,703,149,426,922,243,353,254,888,903,017,122,185,389,
988,568,781,854,670,874,796,748,420,057,609,625,588,881,329,970,275,245,874,
134,837,226,660,867,079,212,792,416,083,642,148,954,830,538,371,091,291,857,
021,773,812,992,490,269,292,123,275,583,615,884,435,250,222,814,048,935,539,
065,703,964,966,121,090,135,658,820,964,106,759,970,151,668,398,204,895,309,
380,180,049,155,723,311,673,215,039,972,240,861,056,797,710,414,996,492,180,
553,178,300,616,611,293,874,244,449,118,626,408,409,012,512,611,031,987,128,
096,090,725,043,269,563,592,869,276,225,360,615,359,515,228,659,892,257,139,
455,435,719,824,375,824,061,716,848,833,447,105,583,535,828,953,526,912,472,
806,379,701,140,065,717,479,011,702,019,570,723,772,005,307,535,317,030,828,
488,334,881,768,515,894,785,532,816,270,360,142,448,853,299,619,104,435,792,
075,583,050,134,166,786,583,338,828,811,392,171,685,048,675,850,142,606,998,
636,197,466,523,701,778,250,746,142,140,717,936,475,941,671,006,238,868,561,
583,799,909,222,140,584,661,784,877,967,711,501,045,766,716,913,450,542,300,
512,336,405,127,131,830,937,512,261,157,174,781,367,090,427,778,642,465,554,
046,945,934,553,347,121,424,733,807,996,290,326,046,732,026,075,854,564,823,
658,074,306,318,175,871,140,655,261,336,022,966,994,853,747,377,019,579,958,
488,915,974,834,244,421,950,424,945,255,579,263,171,243,512,295,565,713,692,
813,414,315,285,083,279,719,071,738,647,662,989,215,163,344,225,773,373,785,
014,473,365,183,535,920,171,122,758,285,101,756,554,268,430,271,585,149,834,
510,474,302,525,406,409,858,591,297,969,432,969,567,661,275,111,717,399,805,
123,898,722,838,067,643,622,414,755,148,268,535,907,009,024,881,246,675,240,
128,992,399,842,768,079,002,598,027,391,515,585,947,218,765,456,445,891,424,
244,715,545,293,319,387,416,083,167,842,359,147,375,162,955,968,711,065,240,
321,291,907,559,671,613,738,984,647,605,046,913,447,195,835,996,721,529,045,
217,832,597,414,202,636,532,313,048,234,450,757,585,099,135,140,743,193,381,
286,860,871,729,549,055,129,826,899,028,853,201,307,229,455,729,047,567,387,
193,037,849,571,955,279,914,852,367,169,862,572,018,353,821,458,536,005,882,
352,403,162,864,006,474,871,600,336,304,506,623,785,096,513,167,220,558,661,
698,603,849,934,086,184,288,906,616,335,688,631,971,862,717,507,625,428,820,
054,578,523,601,863,874,096,859,144,377,535,601,011,620,386,368,983,573,573,
445,717,641,158,246,258,654,979,682,492,810,632,006,609,384,282,027,456,014,
971,288,886,495,437,310,974,510,191,790,594,691,214,316,098,223,432,972,773,
769,411,317,498,402,503,243,210,174,961,227,352,574,071,439,852,353,040,759,
822,118,632,493,407,676,077,224,711,230,917,131,523,855,805,962,172,892,556,
858,940,356,386,049,660,599,916,584,528,686,112,133,510,641,501,615,023,244,
794,347,238,310,265,634,095,385,941,513,095,975,357,286,613,506,252,580,981,
594,355,704,947,068,709,875,516,428,229,836,953,057,476,602,292,548,852,174,
324,389,847,990,558,816,374,012,988,475,481,617,094,219,970,996,205,653,459,
115,923,385,544,213,620,059,667,934,709,425,870,486,119,104,396,230,971,194,
867,094,633,607,887,118,038,047,052,498,710,453,792,976,956,188,752,552,156,
722,452,754,409,029,861,396,651,864,265,625,602,937,477,153,052,125,668,757,
992,731,774,431,081,506,622,870,908,564,228,023,725,836,943,129,663,695,865,
836,172,073,274,147,268,532,677,051,514,361,607,692,002,596,191,039,981,632,
994,565,438,114,485,163,209,689,148,199,950,340,542,083,425,765,531,147,482,
577,477,456,931,288,763,857,926,541,030,311,528,103,917,143,129,279,732,366,
731,209,827,517,896,803,221,251,666,686,699,138,756,324,951,176,253,483,617,
791,678,249,551,279,533,015,905,671,522,632,683,010,513,214,214,024,509,609,
852,429,942,075,172,881,880,411,078,009,757,584,378,114,882,236,420,205,031,
430,889,966,331,490,586,401,962,004,336,316,408,958,028,672,499,384,918,940,
380,982,622,054,870,911,221,788,764,734,416,116,914,465,996,419,125,400,023,
911,871,820,266,942,792,847,490,741,267,104,096,563,381,718,462,164,649,020,
308,684,311,060,291,452,470,199,760,862,808,761,604,551,545,551,251,920,797,
089,408,328,307,755,492,230,503,264,686,593,896,255,422,483,582,686,334,483,
002,075,138,778,043,263,562,684,868,868,025,547,089,757,659,088,618,132,624,
319,617,195,417,943,134,675,811,937,761,388,817,125,467,957,500,182,318,648,
933,034,743,939,163,264,614,754,414,988,462,772,693,649,534,682,517,329,568,
296,295,168,213,456,337,210,143,171,256,326,609,811,104,440,886,271,477,929,
960,151,667,408,921,220,525,800,254,649,699,784,801,907,080,643,371,197,211,
649,254,285,843,657,712,282,090,740,012,555,950,586,509,872,652,909,914,893,
057,748,739,520,885,655,017,526,248,529,214,178,090,681,108,723,879,035,189,
458,946,739,825,159,313,336,259,611,672,104,206,384,175,436,548,069,960,490,
768,623,357,226,080,241,124,741,698,020,064,330,726,626,917,420,206,533,288,
851,757,231,404,953,477,493,074,411,671,320,192,107,505,715,018,424,445,881,
220,973,157,505,031,975,057,138,314,725,639,478,132,599,827,411,928,681,855,
194,645,969,735,645,231,399,110,735,880,711,626,084,859,661,836,346,759,382,
121,081,054,187,158,133,923,409,044,554,333,645,917,023,203,421,715,127,565,
623,415,631,309,606,012,354,359,981,557,194,355,259,022,087,306,468,720,846,
144,477,057,773,353,149,411,486,549,227,266,363,751,974,602,289,456,972,290,
517,458,009,377,699,879,375,031,250,248,517,402,885,651,086,492,652,681,984,
943,963,433,120,761,839,642,940,522,915,657,391,709,006,146,199,172,646,959,
987,677,517,929,030,734,143,351,376,249,978,743,073,158,156,953,768,531,689,
213,090,333,073,318,106,430,519,077,033,611,443,355,424,064,065,207,010,540,
956,784,293,221,028,702,287,796,731,590,541,331,456,878,118,316,355,542,351,
089,358,468,472,776,466,046,250,811,278,652,984,534,991,549,145,647,723,120,
509,957,835,438,109,836,929,585,165,279,764,263,931,359,084,369,468,612,640,
068,410,358,947,739,338,109,287,369,560,967,902,647,427,805,348,145,520,044,
340,463,341,864,178,055,320,021,837,976,117,231,472,551,639,207,865,170,341,
873,279,923,960,914,426,690,779,709,904,342,185,133,519,150,776,141,886,121,
631,898,172,658,367,220,322,288,368,533,980,374,925,102,952,850,817,002,929,
082,713,945,267,334,871,228,607,913,102,830,403,053,795,580,785,947,973,471,
424,293,505,736,302,398,339,484,285,227,341,116,975,422,236,737,694,037,189,
836,157,673,764,665,211,386,586,917,528,958,845,149,643,863,897,012,447,488,
308,693,876,030,860,679,645,320,680,625,365,581,086,982,334,441,669,437,753,
788,471,150,529,697,606,843,970,479,224,456,924,615,334,388,740,272,359,639,
269,906,642,970,048,083,133,514,757,947,609,369,121,180,652,232,318,501,604,
873,081,809,710,238,517,104,280,677,310,885,002,614,665,891,195,168,066,142,
651,300,931,082,972,034,461,339,346,026,008,378,981,551,155,658,080,485,699,
009,814,063,719,644,750,600,272,223,096,114,218,312,382,483,634,078,867,270,
721,897,015,236,233,102,142,444,746,182,284,236,787,638,943,615,728,538,658,
036,531,977,721,559,173,020,490,272,408,399,038,449,789,802,593,262,582,544,
342,700,729,319,635,464,182,914,073,164,324,084,630,932,141,317,150,649,574,
024,075,113,630,519,427,884,213,391,575,340,398,689,684,242,383,663,813,751,
530,589,259,332,493,150,885,376,223,376,438,541,329,597,214,505,537,565,563,
205,478,992,726,480,541,061,486,739,328,453,689,445,069,577,120,786,683,182,
319,515,156,030,698,354,833,227,285,437,525,004,018,459,532,133,439,215,826,
727,495,921,352,099,773,179,873,130,904,253,466,278,499,565,375,465,428,865,
564,079,491,335,703,018,638,093,133,358,575,185,889,425,259,353,855,823,718,
289,476,689,316,357,972,265,258,664,894,955,656,928,372,629,232,661,420,674,
677,798,757,291,079,826,554,005,797,551,433,179,397,975,791,956,315,935,826,
589,804,262,039,465,006,947,562,791,529,993,853,973,948,086,595,650,092,380,
516,920,384,143,942,581,045,725,704,905,401,558,069,367,724,295,493,464,334,
136,920,630,037,330,842,118,719,475,215,099,056,157,672,302,311,773,872,890,
491,863,619,115,050,659,972,406,255,971,400,059,835,949,377,894,004,973,576,
578,806,174,501,793,533,708,556,195,520,549,781,218,930,088,276,356,511,950,
143,539,540,488,782,760,253,453,042,447,245,156,130,938,175,494,247,790,629,
153,042,003,575,858,741,850,307,337,298,057,488,354,638,868,629,945,245,537,
508,457,000,431,830,240,463,542,211,650,199,657,403,311,437,131,657,971,233,
596,616,978,111,203,839,255,999,532,485,561,480,215,205,866,456,042,944,822,
617,982,705,769,342,896,585,743,801,289,580,034,714,974,171,003,706,770,777,
682,881,053,683,270,769,177,241,262,771,902,302,626,445,627,119,925,453,565,
164,044,222,861,075,484,414,397,031,659,180,605,633,206,325,978,525,836,025,
782,293,279,384,527,152,888,634,855,903,743,590,493,607,122,500,753,444,834,
441,607,225,043,044,122,166,014,531,072,756,084,863,931,149,841,520,896,491,
441,382,603,038,403,541,785,838,690,735,899,425,460,541,540,637,519,868,621,
910,324,250,856,196,879,364,329,752,549,380,366,680,126,637,900,291,446,947,
666,735,826,057,444,625,898,528,859,041,303,231,894,875,739,953,457,737,733,
384,019,251,733,408,767,135,812,658,561,279,975,285,405,586,199,610,027,803,
668,416,588,441,345,769,646,138,493,254,408,361,338,070,030,147,122,810,123,
054,541,637,205,818,915,925,555,716,713,101,070,824,138,582,714,814,958,121,
618,007,136,464,828,622,005,773,998,640,448,020,663,317,025,952,350,612,990,
531,994,486,911,200,455,457,753,728,368,642,331,982,572,807,726,492,127,431,
430,662,608,061,740,912,465,278,936,041,589,106,861,498,162,877,790,845,504,
493,316,019,705,844,761,544,825,583,279,643,551,999,663,611,161,514,527,107,
472,317,839,970,694,166,648,758,247,886,551,173,948,286,026,919,368,469,236,
754,748,515,156,496,067,372,926,715,937,278,461,412,589,983,138,474,169,065,
011,033,095,445,031,387,431,023,817,754,661,211,957,996,137,036,879,140,321,
382,158,238,777,255,183,505,608,323,514,716,112,689,480,930,998,048,649,317,
414,671,232,251,557,473,808,924,254,443,546,244,861,074,768,802,396,601,532,
532,352,130,638,992,658,176,335,442,762,490,664,239,474,075,686,079,008,225,
810,677,115,488,518,451,383,812,988,234,922,926,187,305,824,330,841,684,517,
983,632,522,340,560,645,427,002,323,561,419,454,122,364,030,313,608,817,400,
355,425,940,037,778,110,500,539,865,763,523,670,517,859,191,851,789,390,239,
107,466,608,102,164,636,285,020,724,502,177,588,538,428,320,387,085,612,058,
816,588,225,270,238,936,427,339,249,024,549,290,360,524,522,088,891,610,128,
839,099,910,383,295,172,448,903,188,527,424,444,099,060,157,903,950,965,242,
024,082,699,279,059,350,429,311,321,948,943,947,884,622,727,728,521,219,480,
953,526,255,483,743,709,710,776,940,627,481,337,501,875,495,201,584,791,939,
012,462,875,162,357,764,137,125,896,281,557,826,951,496,776,179,563,371,447,
565,014,361,604,002,777,799,242,784,445,678,547,257,750,434,724,428,036,028,
764,000,397,513,223,930,042,898,554,454,592,239,167,163,902,154,604,101,339,
297,620,393,832,236,412,081,536,405,753,826,678,363,136,776,341,024,935,304,
723,740,268,408,228,558,176,549,218,807,565,654,777,988,379,981,855,873,378,
269,276,632,150,169,493,391,800,338,883,324,956,086,893,095,525,075,469,275,
578,540,169,885,666,278,538,460,607,595,570,799,363,490,974,607,852,354,330,
395,639,961,605,131,502,244,405,182,315,745,939,421,228,639,558,434,869,638,
874,693,487,465,735,497,431,360,635,579,943,525,919,268,366,065,294,574,176,
759,792,184,076,129,055,703,012,821,017,971,751,984,748,399,993,263,895,407,
692,008,542,070,042,454,687,027,349,066,885,586,850,463,989,879,927,112,311,
109,496,977,169,839,291,048,017,183,372,033,803,858,826,553,501,329,522,306,
175,493,488,969,398,756,177,426,084,892,417,043,711,408,453,919,024,958,740,
417,434,136,394,262,635,876,581,839,852,404,581,353,255,433,285,374,844,231,
624,039,583,074,777,712,572,621,132,235,264,162,435,660,268,665,119,437,487,
510,483,077,409,658,175,861,583,322,713,123,113,218,855,865,558,968,079,418,
136,302,154,389,832,629,562,574,367,550,202,583,473,307,081,101,250,564,026,
550,845,540,358,967,144,640,907,109,274,646,828,472,436,076,166,887,191,762,
004,321,590,286,874,724,164,205,806,112,437,694,771,828,431,840,452,381,437,
365,883,980,648,643,641,170,005,661,319,494,570,048,022,890,255,272,478,141,
005,463,939,101,421,558,534,794,545,616,860,995,261,165,803,018,206,103,779,
947,645,945,858,005,767,140,763,161,512,110,792,355,756,371,348,002,937,704,
380,192,469,006,362,131,568,668,530,533,021,004,132,776,054,276,991,626,448,
637,737,231,713,492,892,083,459,312,056,219,224,227,144,947,920,165,250,834,
357,828,652,348,283,239,526,706,818,672,229,319,500,617,992,151,441,006,558,
044,478,030,322,544,469,769,896,782,757,029,893,752,711,887,036,998,955,797,
761,827,654,669,602,583,378,909,277,710,918,519,950,709,884,247,400,975,124,
292,029,591,338,251,618,598,319,803,529,887,237,138,361,167,735,433,702,224,
960,305,352,263,855,496,177,603,797,432,688,034,968,533,297,317,662,830,249,
230,283,015,795,723,366,088,693,234,157,660,439,655,106,885,208,611,464,233,
533,809,839,727,959,411,054,077,066,943,962,577,021,418,472,309,209,185,250,
346,449,067,968,070,643,135,861,633,464,237,716,429,249,846,522,466,826,110,
128,357,340,495,125,965,368,954,725,576,379,403,951,364,817,317,562,860,505,
294,331,346,708,197,132,783,586,307,772,719,178,411,511,827,686,418,909,838,
437,641,807,406,319,588,355,451,171,109,656,222,218,894,620,426,893,034,198,
807,441,647,895,665,062,059,108,696,690,952,468,594,424,515,747,697,439,161,
473,363,758,722,583,058,635,843,354,888,739,279,944,140,892,148,084,284,138,
584,195,060,561,656,438,644,861,304,855,261,911,962,305,320,795,632,794,446,
521,438,088,691,039,365,024,234,788,955,542,321,420,883,553,605,319,340,707,
638,740,746,194,400,488,424,616,759,546,635,099,393,640,432,049,665,531,757,
678,611,470,445,545,872,061,569,823,452,599,773,888,913,440,125,860,317,575,
860,256,669,468,568,414,522,735,701,420,201,757,074,671,089,973,597,932,518,
385,827,118,797,043,567,846,952,641,281,825,370,237,470,141,560,228,448,409,
166,987,071,954,848,033,937,559,177,741,184,274,955,214,356,202,893,784,590,
748,341,652,144,208,661,155,601,343,429,152,983,315,416,147,524,751,440,907,
474,153,361,892,057,023,261,337,430,847,797,061,656,903,466,986,578,905,984,
473,206,351,694,734,332,529,573,919,277,211,925,413,158,751,503,115,794,950,
509,865,752,845,076,348,085,977,284,457,144,749,612,849,958,268,484,020,492,
715,063,398,470,202,930,493,010,354,941,663,310,753,860,291,866,833,960,855,
988,801,137,609,894,982,572,553,301,715,223,367,852,272,762,210,026,147,558,
979,121,308,818,634,901,375,794,762,055,922,438,833,639,270,401,548,661,492,
774,654,328,133,363,246,624,050,233,098,882,335,780,153,740,654,564,767,829,
131,474,967,018,240,625,067,922,536,637,447,444,818,772,912,504,089,811,882,
600,411,623,509,222,177,788,274,311,006,500,263,560,488,121,957,287,142,365,
714,760,134,607,448,922,217,796,065,933,124,142,143,626,650,366,112,442,611,
084,910,953,620,690,617,265,167,903,327,868,776,976,346,905,021,364,386,340,
319,035,606,029,611,258,482,569,821,651,610,615,327,422,844,089,432,199,328,
008,626,352,508,292,937,063,025,510,396,876,643,860,646,373,604,397,941,633,
260,118,808,552,360,771,805,518,727,428,611,245,200,260,502,683,251,501,033,
319,584,771,080,347,115,841,893,584,909,174,674,185,349,438,085,284,944,800,
615,409,828,244,470,542,923,219,187,634,872,887,320,935,347,433,443,930,453,
216,355,367,835,581,874,262,966,724,655,333,103,717,458,904,079,608,219,208,
800,338,467,317,557,750,399,395,068,161,106,442,645,332,335,422,842,548,084,
073,989,850,388,842,757,718,058,519,693,192,953,531,644,957,212,204,332,103,
370,587,582,482,431,088,007,945,485,961,258,731,404,786,347,701,628,650,507,
247,169,838,492,785,058,211,089,961,036,978,496,898,128,452,531,841,272,961,
468,466,648,913,500,599,471,267,137,285,727,715,708,500,587,457,131,964,040,
005,197,756,960,684,449,223,694,807,226,111,785,233,061,356,149,234,198,477,
311,685,434,486,794,768,284,795,822,218,412,591,762,984,982,612,110,072,399,
846,988,276,175,853,560,495,241,159,083,884,249,802,194,253,391,823,252,034,
819,943,004,932,232,597,802,792,265,167,756,823,010,282,510,057,699,020,705,
310,025,307,025,423,611,332,676,480,195,688,349,559,152,684,026,349,623,628,
395,838,249,940,057,912,409,396,512,425,294,091,401,032,866,918,466,568,722,
054,807,982,241,639,272,123,018,442,120,258,520,756,925,373,484,190,868,383,
173,143,230,740,681,053,176,004,461,058,323,739,131,607,700,901,466,981,343,
673,701,823,478,515,701,234,727,560,705,568,685,467,787,873,101,194,433,080,
029,231,805,038,124,227,559,129,102,059,850,451,278,538,132,369,072,735,669,
334,086,383,034,566,759,697,542,005,254,559,429,109,766,322,260,638,014,271,
797,226,216,430,214,242,027,697,694,565,556,756,753,196,820,610,590,085,198,
585,169,935,546,852,454,922,317,910,569,322,702,070,029,484,440,102,628,263,
762,923,542,722,591,140,898,914,413,811,367,312,713,483,513,877,833,511,040,
925,570,514,282,746,153,904,464,153,976,970,707,807,559,906,227,980,475,519,
144,522,754,945,334,429,314,052,275,873,230,135,512,968,144,318,512,578,272,
372,800,694,139,699,641,206,337,079,570,865,567,746,089,210,850,665,363,320,
738,762,684,894,894,129,974,134,995,884,716,552,683,271,397,838,364,845,785,
579,081,546,751,529,709,321,584,270,690,844,709,422,953,448,824,239,318,978,
177,605,247,246,908,001,830,275,304,298,840,248,406,720,280,808,087,387,744,
586,234,289,541,087,206,368,098,803,128,074,797,752,988,233,655,505,323,883,
404,610,402,560,170,687,380,463,099,916,011,431,772,538,249,828,892,187,254,
948,936,195,124,547,702,197,370,957,826,664,360,062,841,704,967,883,928,461,
017,990,481,299,403,098,315,727,437,222,717,744,474,923,773,806,049,355,185,
318,566,392,519,902,656,522,839,739,528,636,811,982,402,263,643,250,056,493,
325,782,947,613,947,425,723,200,136,778,804,791,328,348,915,521,788,739,916,
941,478,753,724,038,900,447,225,228,152,971,780,197,275,875,058,362,475,142,
413,246,982,215,141,379,632,846,263,433,720,696,332,908,816,126,287,440,398,
598,202,229,927,170,714,003,358,156,450,121,106,448,302,396,023,580,905,932,
307,224,334,266,869,307,140,330,449,176,058,361,599,347,288,662,754,341,001,
962,923,138,858,827,792,077,626,124,981,245,334,454,401,470,576,676,982,487,
372,846,330,777,071,092,319,588,978,551,313,718,806,087,564,190,079,948,451,
365,755,023,492,574,463,946,825,581,644,586,924,427,797,470,761,237,556,954,
209,087,280,412,516,702,983,459,723,431,396,733,617,429,449,333,361,806,904,
648,510,347,118,803,837,628,164,265,981,221,676,974,024,625,806,748,883,636,
608,007,037,445,186,377,263,926,794,487,196,710,886,963,906,388,583,746,157,
659,476,614,858,642,567,348,464,921,316,948,182,162,602,648,102,175,853,967,
277,197,714,534,009,250,656,463,073,439,915,946,701,121,291,182,365,591,847,
157,197,879,687,196,747,605,226,198,431,095,371,544,665,011,801,226,326,082,
941,616,680,418,215,128,412,531,295,334,177,029,817,499,170,053,896,874,913,
175,729,052,946,575,590,737,250,538,336,160,154,011,117,421,428,221,284,345,
538,918,530,676,314,080,022,805,761,546,419,615,868,511,633,393,647,720,463,
881,484,638,487,483,105,136,998,423,560,577,478,553,402,878,302,739,148,946,
484,819,950,522,166,094,144,446,432,199,305,640,471,540,239,096,339,824,729,
589,557,096,788,025,262,431,903,260,609,429,906,446,384,871,388,073,757,078,
023,168,197,004,410,612,317,705,432,086,122,353,664,346,143,563,665,852,719,
162,915,412,089,443,222,821,687,968,672,335,981,143,927,722,598,655,767,222,
061,487,882,769,174,688,299,184,053,213,942,028,446,552,034,315,096,916,492,
042,419,162,771,150,547,175,821,655,817,760,647,883,572,318,435,792,412,462,
135,087,462,176,977,923,560,377,043,299,693,504,069,446,840,285,495,406,757,
885,511,454,837,158,497,746,583,306,784,137,112,448,370,401,118,879,016,094,
206,235,335,211,321,451,464,431,920,081,615,373,609,274,621,696,846,661,133,
489,277,452,074,476,994,678,067,984,161,338,987,065,988,639,823,086,919,623,
086,568,841,546,387,608,383,928,791,970,048,052,877,986,556,751,824,488,733,
525,715,666,723,212,510,254,635,618,667,201,790,045,129,220,452,821,521,029,
812,839,721,196,479,985,663,915,841,391,102,194,567,607,102,637,249,223,158,
937,012,632,445,325,707,747,797,876,311,714,314,434,457,726,307,945,424,161,
894,996,268,929,778,688,869,753,361,179,904,002,151,350,809,083,018,785,992,
537,070,745,671,915,627,019,467,542,885,855,666,312,619,426,973,947,871,195,
797,084,883,743,824,165,905,397,418,586,417,842,163,784,582,542,593,174,272,
413,945,880,404,330,327,623,608,149,957,533,339,486,607,205,723,981,409,507,
340,281,896,281,249,972,962,099,378,295,676,747,427,165,419,439,912,861,750,
370,826,194,035,425,998,635,189,675,524,523,870,128,298,771,031,382,811,734,
610,712,245,904,721,688,875,453,165,546,072,461,217,888,004,929,152,070,673,
790,996,436,979,536,853,026,604,420,674,966,411,159,262,966,772,286,223,764,
676,232,287,073,844,193,263,933,891,021,971,293,115,355,447,987,069,640,422,
236,437,473,344,012,403,980,804,818,198,048,690,695,170,091,925,279,191,322,
058,438,598,313,279,463,550,195,191,893,324,716,657,124,948,370,571,040,406,
875,126,957,666,420,373,079,596,996,694,087,861,972,568,849,802,430,284,939,
034,447,555,295,875,360,954,582,629,275,888,173,861,458,864,078,716,765,911,
659,172,091,194,042,678,607,523,637,746,778,154,995,530,900,966,629,365,134,
678,836,282,187,449,291,339,034,449,682,887,741,512,503,417,023,150,201,709,
011,807,683,941,697,673,084,490,628,519,550,702,236,518,283,183,057,800,727,
080,591,938,829,141,618,480,936,296,645,368,625,444,498,013,435,608,313,419,
644,772,800,361,073,132,646,313,251,348,931,285,199,257,358,699,350,303,215,
570,914,111,929,503,070,230,958,624,886,994,045,739,310,730,578,246,982,262,
467,799,056,679,225,001,837,880,113,140,622,932,575,574,118,218,213,622,995,
049,053,525,366,595,303,987,594,906,507,630,973,150,008,684,595,101,828,540,
743,243,598,204,356,514,442,143,488,853,156,670,481,564,942,964,838,326,564,
317,185,573,854,724,688,173,666,706,613,684,586,362,000,534,593,390,503,337,
759,990,517,533,799,486,454,472,385,611,803,495,764,973,582,406,615,424,020,
470,228,178,582,399,640,845,411,968,402,691,660,272,286,245,707,311,893,363,
015,491,891,729,294,879,086,519,428,611,735,574,756,333,040,994,388,843,456,
466,207,968,945,774,226,936,033,032,076,522,328,385,639,876,633,477,753,034,
655,871,752,989,283,771,648,342,826,882,721,186,511,921,210,462,400,151,986,
551,351,060,824,429,380,107,437,935,483,058,316,288,461,978,184,759,479,805,
114,031,382,405,318,802,746,933,024,674,907,335,938,432,364,434,515,423,685,
847,367,720,984,772,760,592,465,385,501,718,969,844,639,278,836,668,607,356,
441,934,545,727,510,334,089,243,585,072,409,139,252,868,640,706,778,750,291,
555,456,181,658,335,544,096,260,698,660,332,019,051,197,557,565,773,231,021,
976,683,905,609,173,874,367,004,159,630,274,329,255,413,278,701,113,195,040,
094,446,471,009,499,554,257,511,142,965,909,741,160,091,013,057,725,384,293,
375,812,529,469,350,645,418,027,426,808,351,100,100,610,469,696,961,760,535,
534,679,610,613,456,118,198,465,709,366,711,791,124,446,134,771,940,474,203,
027,922,197,857,912,583,920,530,516,194,825,770,221,228,480,327,153,900,272,
040,785,426,737,744,754,777,649,461,062,170,742,875,186,259,381,788,432,978,
282,910,840,612,527,759,408,691,631,037,031,143,505,520,034,924,486,961,543,
264,462,913,515,052,311,447,421,749,080,326,512,769,958,833,881,916,493,568,
827,644,979,193,150,981,857,768,401,511,220,001,936,352,546,639,103,652,239,
646,137,791,262,846,504,154,619,616,310,944,255,555,137,067,828,293,495,839,
224,983,653,936,183,040,834,547,352,358,575,700,011,940,530,924,013,710,271,
471,560,975,549,569,751,303,830,260,587,342,189,571,954,253,957,317,860,141,
406,445,459,528,487,706,449,712,833,021,263,563,072,198,429,716,455,596,849,
675,320,911,315,859,097,792,907,756,022,761,717,243,769,510,413,388,855,797,
704,690,230,327,222,481,801,951,899,084,672,642,407,454,125,321,217,367,893,
346,210,434,073,176,876,325,010,360,636,352,481,870,003,626,597,337,625,896,
041,804,293,690,940,078,895,074,569,724,952,399,555,711,457,245,766,827,199,
915,487,118,976,430,100,733,488,575,356,712,249,115,399,508,252,861,793,960,
932,541,692,440,644,625,950,249,934,205,755,336,710,658,416,955,647,076,319,
050,057,937,590,492,254,543,253,844,332,821,619,100,397,364,482,273,328,316,
313,146,506,770,090,599,932,025,846,137,992,358,068,464,467,647,546,152,464,
450,169,568,856,234,007,453,605,938,766,122,709,037,610,565,674,477,027,818,
087,170,640,401,148,776,279,380,728,457,248,150,420,451,836,710,076,341,100,
580,417,326,605,570,027,271,935,187,837,715,618,621,906,253,917,286,282,225,
029,989,358,511,663,029,917,579,118,994,295,392,512,983,165,403,290,176,948,
798,010,299,964,471,118,577,049,700,584,059,640,117,191,528,024,229,513,710,
796,758,394,918,404,040,734,253,391,721,260,519,144,927,908,432,657,493,648,
534,328,498,291,712,843,174,500,263,780,019,820,906,957,866,402,539,039,578,
323,173,386,276,232,931,237,082,474,554,038,111,606,348,408,689,500,787,789,
364,629,663,965,395,621,899,225,641,426,127,784,642,164,026,098,162,316,988,
608,987,059,286,920,190,065,795,881,642,616,767,340,024,351,869,122,479,218,
213,414,163,098,690,445,593,471,460,388,438,768,032,251,178,027,934,062,650,
983,265,825,431,546,943,909,210,569,488,886,868,490,220,215,745,898,642,248,
764,241,357,314,829,002,673,355,404,135,388,979,852,246,637,261,026,884,085,
075,545,427,991,743,264,192,987,052,177,791,735,265,036,846,109,972,819,292,
417,722,367,338,341,709,153,663,636,945,772,646,105,892,777,601,409,582,932,
300,361,092,923,016,927,749,753,484,103,683,307,856,531,271,948,524,410,799,
820,155,883,225,079,526,813,058,679,157,452,011,790,898,006,527,814,314,163,
629,247,295,608,763,432,692,011,986,132,284,137,689,638,664,990,225,571,754,
342,620,071,613,917,189,483,040,504,040,941,976,252,648,299,240,824,723,851,
639,752,019,387,411,608,287,806,078,111,540,220,131,851,518,297,625,058,000,
675,019,381,451,561,295,246,969,931,874,587,898,713,379,619,031,717,924,180,
620,838,431,732,021,947,613,320,474,063,476,310,856,122,359,059,164,969,384,
296,175,324,683,974,155,776,621,155,568,625,274,576,223,018,127,234,590,160,
833,176,278,986,540,413,851,605,591,797,435,701,813,399,042,395,769,487,880,
088,043,671,222,052,647,508,530,132,105,085,237,497,816,836,554,272,246,758,
882,024,375,117,509,726,202,926,836,135,390,555,464,587,974,376,303,849,417,
016,054,415,983,090,550,423,324,083,179,924,165,460,334,351,075,478,358,763,
990,484,878,495,145,078,188,767,450,390,929,735,309,659,230,161,595,236,157,
134,042,666,266,253,028,027,818,795,221,667,007,819,405,000,881,138,462,511,
147,699,187,325,937,404,107,138,786,338,256,825,431,635,056,274,699,765,761,
850,917,779,319,265,727,808,360,772,449,670,990,222,502,725,104,347,877,581,
876,731,886,423,418,220,660,796,960,689,473,370,911,135,999,479,777,171,669,
463,171,277,208,878,452,446,257,635,362,818,917,309,689,657,137,657,642,770,
711,659,383,141,857,076,153,900,114,050,848,336,692,808,284,830,264,293,170,
369,813,711,041,782,992,861,337,067,095,502,945,701,404,609,465,001,627,517,
468,165,915,870,912,955,927,060,729,259,390,722,421,301,670,561,624,044,251,
942,347,845,896,227,968,624,230,172,391,039,158,431,165,001,669,712,334,610,
483,002,434,368,930,273,850,551,083,483,722,738,268,101,822,832,022,608,355,
163,920,104,780,540,784,815,998,669,393,240,194,215,669,412,143,665,816,644,
808,827,650,953,755,140,750,922,057,781,743,485,857,939,014,491,336,196,700,
655,358,456,065,687,711,649,967,735,450,232,882,733,712,390,316,857,354,282,
080,776,402,395,214,926,314,808,419,227,542,704,857,129,906,723,234,801,319,
745,372,397,544,756,458,561,927,964,675,854,923,278,983,457,748,008,868,815,
106,174,189,814,568,301,249,844,339,740,824,171,891,392,929,211,591,103,806,
427,188,420,041,073,820,040,394,482,903,603,382,230,274,984,072,594,735,397,
758,849,264,308,647,683,436,398,513,440,313,550,045,894,988,732,300,147,465,
260,826,676,049,280,127,816,814,315,014,182,300,659,473,025,576,537,527,343,
948,724,520,620,374,250,850,141,945,613,975,219,777,484,114,370,591,947,001,
355,156,347,452,231,997,630,609,996,875,980,643,187,057,530,549,079,072,220,
712,907,939,435,146,680,397,709,935,617,720,633,609,896,068,951,805,594,276,
294,168,909,286,270,961,443,945,327,488,716,791,091,070,740,196,391,945,690,
977,687,290,888,788,835,914,334,087,992,546,386,682,508,754,685,931,852,646,
732,843,790,655,032,761,311,665,953,708,246,666,287,609,922,197,496,565,999,
842,122,803,806,867,190,100,397,292,394,709,783,191,696,958,541,333,669,589,
999,859,952,314,011,998,830,147,736,091,527,117,984,056,852,718,925,106,737,
437,024,642,031,092,856,476,481,782,059,473,842,718,708,879,847,260,616,551,
623,737,057,386,338,073,094,159,005,741,901,332,180,053,191,638,704,612,421,
559,561,421,128,509,668,053,788,655,632,552,549,273,660,100,503,420,499,465,
567,217,062,640,981,144,757,591,007,990,482,267,439,801,911,694,945,711,402,
947,500,216,551,416,956,765,757,627,212,995,841,841,034,693,225,878,979,183,
837,972,492,547,546,726,033,820,990,126,984,589,232,972,997,233,193,573,221,
810,380,658,165,827,638,314,333,216,703,418,198,082,958,565,693,786,963,479,
144,213,989,202,600,058,924,034,171,650,172,821,593,427,609,924,881,131,154,
623,529,878,756,595,747,411,099,640,910,409,359,123,031,561,165,740,753,535,
909,316,916,702,512,482,782,719,716,702,141,419,570,165,421,289,272,850,258,
991,009,218,095,361,826,618,724,037,694,604,824,926,478,354,647,273,888,548,
689,384,373,225,743,613,557,399,410,617,011,370,765,179,023,604,535,767,855,
511,324,862,770,270,721,265,577,789,629,741,346,656,697,691,420,326,793,369,
138,230,624,757,526,023,033,668,893,116,644,127,820,935,521,954,654,803,899,
661,954,051,030,741,470,627,193,893,570,902,101,800,785,808,026,330,592,388,
400,032,048,300,535,933,493,479,158,045,531,385,843,193,477,471,745,344,496,
912,730,190,022,542,118,214,654,079,384,951,050,435,475,636,758,395,898,554,
934,194,495,498,574,358,647,840,661,660,175,638,429,011,753,027,781,668,717,
191,010,367,061,893,355,031,515,224,987,571,958,367,062,878,456,882,401,223,
762,478,008,103,044,884,384,727,480,849,822,242,353,550,773,279,922,254,885,
313,066,268,250,992,296,065,566,305,465,649,277,339,215,493,689,939,424,872,
670,135,184,230,057,850,893,081,017,225,896,982,894,111,010,784,070,037,050,
279,417,397,796,891,591,590,083,315,100,258,710,465,677,110,871,229,376,988,
664,250,541,004,359,178,983,452,046,574,169,882,349,315,374,517,041,193,438,
212,208,045,792,398,153,967,096,228,537,575,312,101,395,587,916,799,406,690,
962,532,519,239,630,862,646,528,874,851,507,612,555,977,920,609,219,271,620,
762,080,345,211,954,516,995,516,512,009,235,853,813,454,084,657,692,400,529,
827,239,590,443,597,266,548,792,747,134,463,573,442,060,065,473,755,160,420,
276,081,673,029,960,905,268,158,894,474,191,572,895,926,142,142,097,780,230,
943,233,728,888,724,396,459,844,433,746,429,069,585,616,889,018,918,404,559,
060,881,714,541,809,820,408,355,795,339,881,280,184,687,419,056,801,140,406,
618,295,465,653,156,167,948,357,950,712,902,121,872,595,445,636,303,848,716,
223,257,957,459,393,169,292,864,634,243,969,114,273,396,527,840,486,148,316,
549,056,337,894,386,055,113,568,618,211,605,521,052,137,175,086,015,482,540,
363,530,949,646,713,341,627,568,533,182,401,383,981,459,105,717,735,702,648,
865,087,348,103,804,374,583,295,523,155,030,720,215,602,932,863,989,187,031,
571,776,929,699,538,776,415,679,929,973,759,012,473,962,912,153,751,542,553,
668,232,506,910,068,437,435,908,421,303,046,444,425,261,787,975,944,786,043,
761,252,963,546,178,244,198,393,075,114,913,384,567,850,140,519,416,796,004,
753,984,818,042,615,684,074,459,191,329,809,128,366,246,994,896,704,654,286,
281,503,156,754,082,107,156,917,367,723,689,006,949,743,759,757,960,496,365,
893,277,710,568,974,752,133,876,308,365,493,086,252,258,467,944,980,597,329,
693,566,163,519,170,361,591,147,420,787,887,751,914,273,191,881,228,890,828,
438,669,643,727,790,976,568,184,496,381,677,820,567,068,386,399,698,255,995,
980,717,798,056,564,738,312,860,910,358,630,939,642,698,267,930,069,220,346,
423,615,617,531,180,046,810,949,532,025,523,121,594,899,042,190,137,172,719,
803,528,362,515,747,407,212,182,632,600,830,760,724,294,221,101,855,330,857,
155,701,804,120,376,510,475,635,482,219,772,227,280,676,052,143,078,065,535,
554,170,679,725,776,557,391,992,004,817,506,868,545,634,355,949,280,011,880,
472,752,043,726,288,543,559,048,767,217,060,662,532,402,700,112,969,990,790,
567,217,351,769,885,280,727,642,443,405,425,172,820,239,255,755,917,018,960,
708,871,452,438,451,960,848,702,552,223,504,205,024,154,523,538,743,475,011,
102,339,792,250,893,091,187,375,863,634,360,600,350,477,929,966,436,651,592,
772,590,672,453,958,164,316,556,789,202,076,424,826,724,961,634,968,707,622,
604,170,764,781,683,511,986,088,430,414,175,588,120,632,048,801,461,547,161,
357,510,942,711,461,663,013,206,998,481,711,410,905,416,944,661,550,558,637,
743,626,027,830,551,227,184,727,965,105,111,910,939,549,676,493,320,484,658,
668,163,670,265,300,832,990,023,467,607,503,631,870,518,399,708,069,245,545,
181,908,664,928,417,288,495,552,814,472,338,240,452,883,519,470,654,290,703,
705,943,136,010,186,398,420,297,931,311,551,347,042,223,667,836,822,529,984,
902,666,099,542,111,827,871,102,065,729,127,614,646,517,727,807,842,980,485,
439,788,731,299,412,174,786,077,045,097,001,597,639,609,282,656,276,253,135,
582,641,989,487,560,026,055,791,653,451,765,146,707,057,916,338,461,747,905,
573,400,379,887,904,882,712,900,618,047,981,741,933,238,752,435,676,095,376,
266,323,653,465,417,567,698,009,968,144,109,580,735,894,018,451,880,877,182,
369,711,940,345,024,769,533,698,174,183,055,654,879,597,802,895,447,322,740,
433,250,345,924,821,230,461,441,686,913,358,992,748,480,439,597,520,919,338,
263,006,228,219,610,223,703,564,327,781,884,719,101,215,381,272,054,585,015,
116,368,435,470,056,354,834,823,716,196,516,749,993,105,781,584,210,863,639,
966,106,140,806,805,975,736,422,921,998,479,229,655,461,869,829,917,596,451,
165,093,708,528,040,893,667,143,938,236,081,197,833,381,478,188,729,501,240,
571,662,236,762,533,733,568,010,360,877,489,486,339,434,361,094,928,735,491,
893,149,638,164,705,919,301,843,531,305,246,607,635,036,624,916,522,920,308,
097,189,769,836,423,055,205,588,615,213,971,107,548,331,736,177,172,026,078,
473,439,230,465,795,765,205,684,589,997,874,175,945,926,882,460,895,145,352,
721,325,437,437,332,506,419,765,357,410,136,223,193,931,571,862,089,988,707,
856,048,811,373,189,370,482,858,794,823,779,233,449,882,856,580,567,105,790,
394,190,925,797,653,694,658,019,270,291,983,104,093,044,777,735,991,289,825,
571,984,494,776,442,674,017,282,393,414,306,224,184,441,686,892,173,706,983,
938,098,835,508,148,185,706,893,873,883,823,979,497,046,119,700,840,385,557,
159,485,131,779,907,736,221,471,440,786,557,168,233,047,188,353,577,453,938,
601,187,049,743,512,089,827,681,057,067,139,825,238,456,984,899,150,829,879,
807,240,253,814,816,677,580,300,694,774,912,054,569,394,136,218,579,871,987,
196,793,051,530,887,302,971,664,713,788,127,014,169,111,487,255,369,792,346,
874,361,112,652,338,365,958,855,740,792,346,106,453,045,790,217,203,027,657,
377,288,094,065,240,996,381,332,954,974,756,172,261,339,306,933,227,784,913,
786,368,373,460,755,244,596,316,241,233,701,410,151,729,342,049,335,661,392,
936,919,229,526,167,876,769,933,740,329,276,109,755,828,104,541,068,668,385,
046,064,318,282,310,296,793,639,790,133,877,086,246,468,664,909,355,408,108,
808,277,002,987,300,576,920,896,923,322,118,945,166,006,208,439,605,228,538,
100,114,768,356,650,015,731,896,393,838,551,101,215,392,029,511,629,997,964,
064,593,065,456,591,356,686,673,387,495,512,350,474,578,998,532,085,726,480,
321,751,514,122,576,818,555,287,628,860,685,473,294,963,074,991,303,896,221,
252,771,818,272,441,509,228,224,148,756,670,295,371,271,958,101,888,270,962,
157,481,947,251,658,936,375,293,559,320,698,440,475,544,434,307,573,863,476,
974,628,454,929,641,823,186,465,864,165,073,083,609,372,964,008,401,213,719,
468,963,138,667,001,767,028,384,362,746,119,421,165,144,583,732,680,237,704,
330,560,810,895,885,834,510,061,688,230,248,047,837,731,848,707,130,636,611,
043,359,088,839,763,511,935,772,530,526,766,216,490,014,922,751,091,356,710,
789,857,570,642,915,607,585,944,737,145,662,985,446,485,423,063,742,507,998,
431,636,008,551,265,979,490,781,961,149,290,109,873,706,055,372,696,258,285,
790,518,778,500,073,282,524,080,119,108,846,255,942,399,928,420,578,121,408,
922,932,776,938,047,526,246,441,650,149,309,403,394,428,844,653,532,301,419,
087,862,619,697,879,210,785,425,808,372,937,352,553,311,003,827,466,243,897,
919,401,239,246,377,320,425,008,124,692,919,797,625,323,765,620,100,797,348,
377,936,865,266,002,914,494,016,164,370,724,963,197,525,884,808,666,135,789,
455,441,984,450,091,784,372,969,873,323,504,049,664,313,681,564,706,494,280,
751,366,884,309,077,634,051,462,959,183,726,532,758,220,676,534,770,877,567,
445,151,285,147,408,745,163,707,594,015,993,096,541,921,381,515,059,616,552,
105,320,432,360,988,199,382,499,466,728,358,502,193,969,218,228,452,480,062,
170,392,743,473,713,765,524,799,951,814,619,800,185,489,452,167,614,303,263,
098,969,874,884,005,985,464,597,855,662,068,826,587,541,457,748,594,000,762,
919,267,809,101,629,286,183,148,430,521,250,256,601,696,398,910,956,674,007,
381,215,855,894,235,654,219,254,138,583,122,980,024,541,073,652,217,098,281,
909,052,310,863,450,190,553,176,591,035,271,130,964,530,073,571,367,111,393,
652,073,198,746,665,190,239,078,401,708,309,577,914,060,827,945,000,643,154,
885,851,307,255,235,067,938,570,243,089,153,800,714,538,350,610,970,456,256,
731,140,189,243,932,158,792,165,037,071,315,914,856,066,762,757,649,869,813,
625,934,199,616,658,373,109,200,775,328,119,503,710,028,321,429,902,469,103,
673,210,268,687,968,876,197,564,036,026,207,751,157,421,935,151,405,933,096,
902,874,439,530,042,271,529,197,228,174,642,259,675,399,349,392,120,212,250,
456,169,695,545,039,485,057,721,863,462,516,494,769,694,861,662,891,264,369,
146,126,629,200,523,604,121,907,913,663,802,203,319,326,141,300,774,280,830,
174,051,380,681,261,029,468,593,447,064,450,994,232,654,164,061,343,153,742,
749,960,002,410,959,287,627,454,010,232,702,583,295,312,208,038,521,623,608,
886,978,162,955,104,214,113,843,570,993,666,392,752,034,694,552,471,141,543,
833,045,471,321,680,660,853,454,566,814,273,016,669,932,914,534,093,857,674,
584,781,592,202,454,305,105,481,079,164,504,813,324,974,457,007,213,447,766,
836,800,784,319,991,280,062,747,203,300,276,879,523,837,497,801,314,971,098,
481,597,262,670,331,157,037,239,420,594,758,994,538,280,480,894,183,294,498,
845,460,153,481,958,409,920,504,504,261,073,151,146,493,909,880,182,311,534,
633,903,950,143,011,965,110,150,347,313,929,273,116,243,663,710,056,462,499,
583,659,964,302,058,522,311,025,061,439,364,146,114,812,924,056,622,484,464,
300,160,516,150,523,498,205,657,245,818,955,867,114,890,274,632,064,433,517,
970,542,113,644,394,125,435,754,817,280,343,812,303,356,893,387,080,719,572,
714,640,448,597,532,916,836,952,197,331,133,183,832,287,594,378,134,037,863,
476,324,286,336,992,789,858,405,455,817,212,222,549,954,541,423,201,034,834,
853,423,973,320,201,787,917,182,748,355,832,193,086,462,659,509,120,714,830,
896,104,349,546,241,944,739,931,139,525,203,649,584,880,200,992,919,117,398,
607,940,427,830,436,076,048,138,755,558,162,508,806,566,513,104,331,474,419,
717,841,239,310,654,175,732,223,717,006,774,929,014,832,808,421,091,602,937,
723,250,060,999,083,949,285,061,370,630,204,502,121,877,170,518,978,679,755,
405,623,673,332,325,927,668,363,132,076,396,933,520,815,708,297,848,599,175,
354,366,174,880,347,267,903,125,817,712,580,389,965,529,184,738,846,741,403,
826,189,522,334,799,892,774,405,531,020,528,667,402,690,600,188,155,809,030,
941,729,186,270,771,468,240,970,383,128,256,150,684,182,002,869,172,422,591,
736,909,129,959,087,117,353,191,955,802,437,193,270,744,991,399,808,105,769,
569,168,918,080,444,689,579,258,586,673,879,312,414,481,017,595,936,219,075,
073,961,829,845,899,247,287,620,910,241,111,750,110,436,756,926,037,752,915,
513,763,635,491,754,278,463,863,992,865,839,906,397,532,051,578,837,087,859,
342,376,765,142,926,026,707,461,910,627,918,785,178,015,422,089,387,761,924,
911,696,871,625,711,120,128,915,016,117,078,214,217,731,996,023,228,943,646,
842,202,158,845,029,745,033,280,250,453,229,673,352,159,970,392,990,848,626,
275,423,114,182,003,892,811,925,146,564,076,175,134,788,238,243,075,134,173,
812,506,791,876,924,496,095,325,749,290,482,225,924,597,828,178,837,446,855,
485,546,768,384,661,891,505,461,772,841,198,022,617,464,886,853,930,042,691,
397,258,764,142,752,993,129,104,965,180,304,047,445,034,031,377,184,066,947,
439,201,318,815,790,768,430,822,955,564,209,791,041,467,069,394,183,667,882,
987,194,644,847,512,487,220,517,354,280,944,501,552,012,295,408,996,018,319,
445,034,773,953,123,005,660,700,420,512,792,180,529,841,662,606,125,103,092,
407,196,505,747,365,547,100,141,005,359,748,218,338,203,408,056,353,744,481,
271,701,587,576,102,267,575,187,754,018,475,466,100,738,505,713,130,323,252,
320,993,929,457,370,590,048,356,612,323,024,325,422,384,849,612,850,502,281,
617,204,310,880,230,111,281,286,396,712,658,138,129,290,604,598,740,026,177,
429,289,472,524,585,437,702,439,374,188,953,086,604,020,757,684,927,253,736,
297,788,166,569,401,900,783,571,642,631,935,903,972,554,863,793,938,819,751,
768,503,298,861,732,458,983,087,289,908,500,345,702,785,897,139,710,290,152,
431,168,372,248,981,800,069,150,865,031,998,077,168,448,987,182,331,885,937,
683,443,489,599,692,834,771,394,907,585,585,951,257,371,054,804,199,378,377,
481,353,529,616,166,046,822,516,588,335,714,150,736,008,300,466,000,936,474,
792,981,939,472,421,209,943,866,286,340,958,797,954,183,935,579,741,868,639,
768,903,373,087,052,099,354,321,634,898,742,592,643,435,899,326,342,757,332,
902,487,916,223,988,341,079,128,047,486,258,570,879,391,845,827,259,199,569,
188,905,303,274,724,281,028,980,798,654,483,525,937,643,037,442,502,070,069,
715,270,255,620,415,996,575,556,250,257,814,380,386,383,198,860,395,584,590,
136,750,900,365,137,816,699,079,893,701,624,803,323,948,752,613,581,103,405,
685,463,134,569,163,824,985,938,765,286,422,852,268,799,448,931,414,650,121,
304,108,750,732,732,082,855,653,686,411,940,903,789,293,940,651,919,402,981,
548,986,386,370,199,913,038,165,891,115,617,323,201,858,200,652,746,065,863,
592,044,625,248,708,779,325,331,315,683,264,452,566,787,792,691,052,869,423,
450,745,933,664,425,559,015,992,450,945,656,481,262,495,551,855,457,049,454,
581,575,580,257,242,311,675,020,329,869,778,190,611,417,685,681,820,172,319,
321,610,759,976,817,390,723,029,257,270,003,837,942,258,573,872,258,604,468,
276,870,367,055,207,006,860,599,157,503,451,871,393,375,943,165,778,039,801,
282,143,004,709,600,025,555,375,494,742,717,653,939,746,622,925,912,577,873,
553,365,382,987,655,533,201,902,690,146,193,949,847,615,967,175,221,379,644,
352,224,795,173,862,882,460,067,396,693,529,426,352,613,806,714,821,019,962,
805,698,339,018,787,025,742,069,101,635,662,613,465,232,869,576,386,584,522,
479,656,286,632,514,083,983,660,369,147,041,182,266,273,249,032,684,448,696,
882,372,587,514,030,717,019,277,033,192,316,781,496,605,259,337,071,384,623,
328,201,409,258,831,701,503,451,313,893,105,602,086,579,505,075,005,450,886,
980,472,140,949,697,354,021,579,611,247,621,092,346,730,644,901,096,878,305,
259,442,294,089,952,429,652,015,073,716,650,230,928,770,801,690,755,810,581,
553,933,550,437,859,708,461,771,270,262,797,494,541,675,819,028,164,101,474,
731,213,297,927,578,341,466,207,311,238,227,283,042,879,979,355,411,987,101,
549,577,957,851,184,709,589,275,007,017,935,030,974,532,969,800,166,605,870,
203,994,985,721,986,594,374,146,475,278,253,998,440,277,483,868,833,860,937,
804,757,363,957,368,009,098,489,725,105,041,365,439,048,850,744,837,003,620,
373,715,952,703,621,685,156,526,665,727,409,584,293,197,445,726,078,236,292,
896,976,574,224,608,626,717,331,994,553,241,960,427,902,828,209,457,168,672,
205,283,229,364,050,360,404,640,793,970,682,575,806,250,704,661,788,096,837,
404,867,723,320,354,577,873,908,699,625,752,277,042,993,139,053,873,690,808,
266,572,110,657,161,823,444,068,630,475,011,453,640,275,763,906,926,769,629,
485,673,780,575,341,665,661,864,017,149,066,437,726,567,206,697,236,307,279,
750,953,406,883,892,371,976,008,889,616,770,142,093,033,996,050,014,786,532,
295,046,129,954,997,601,570,874,525,887,206,992,416,046,449,596,215,742,181,
899,518,143,646,153,415,003,557,196,853,373,360,183,631,169,119,748,216,634,
083,930,690,524,180,685,969,862,578,127,568,999,769,990,273,888,014,659,199,
977,945,042,680,865,017,441,451,632,822,946,697,159,061,999,161,890,396,978,
301,939,441,132,587,415,997,500,480,701,189,969,712,511,466,104,607,605,492,
575,549,769,252,251,914,645,483,345,097,507,171,386,298,921,505,953,230,199,
888,552,291,129,767,002,311,960,947,444,248,301,852,074,169,910,137,112,596,
960,051,371,709,924,994,461,736,993,720,326,343,163,530,565,030,495,705,499,
228,220,925,868,437,690,503,492,694,202,680,439,990,529,565,702,522,486,023,
389,823,849,379,812,851,191,465,752,371,431,971,454,548,872,361,083,100,912,
004,389,463,451,907,718,468,377,301,078,334,637,255,200,070,770,038,978,826,
686,292,227,301,821,139,573,004,364,816,938,542,393,580,873,048,954,455,776,
791,317,509,252,066,666,140,182,342,749,823,466,882,539,685,327,841,352,100,
592,795,780,943,319,103,410,287,213,925,543,568,584,470,122,643,542,617,118,
291,191,540,822,092,239,968,058,415,092,441,549,828,236,715,334,871,470,797,
967,932,037,280,990,901,616,342,253,210,584,363,632,475,001,612,830,729,826,
069,954,074,983,263,866,819,958,169,454,354,158,951,279,171,598,944,590,846,
761,625,326,937,006,100,211,956,986,560,912,025,326,563,685,258,454,488,084,
677,239,873,982,451,476,882,076,524,967,835,143,049,249,311,042,195,755,003,
545,133,660,087,417,224,208,608,358,273,172,276,458,797,819,990,198,391,752,
088,115,942,257,161,657,857,770,388,852,207,873,688,916,304,824,842,231,353,
193,201,184,237,714,329,676,714,228,110,384,655,103,721,090,792,329,125,542,
785,068,309,771,783,298,989,841,594,994,473,709,159,439,060,957,589,133,075,
466,144,076,357,508,400,717,124,376,577,528,029,741,447,270,415,544,092,329,
883,140,269,717,758,758,814,537,346,683,628,044,724,284,635,340,207,863,478,
762,418,106,167,938,333,854,858,375,656,215,419,372,230,875,444,908,035,311,
172,570,686,418,423,455,636,504,875,989,105,525,830,107,879,956,921,766,771,
981,815,555,912,835,034,071,723,537,037,417,492,883,079,595,397,666,441,052,
926,124,303,663,039,953,843,263,044,324,145,021,862,092,288,790,518,366,121,
286,559,206,304,305,818,344,576,857,612,933,718,188,733,450,014,350,477,120,
775,324,988,251,028,010,049,655,064,332,692,035,875,567,942,588,819,261,125,
535,160,933,292,385,080,979,808,998,561,654,677,339,814,552,803,803,801,115,
273,743,495,537,833,068,541,096,239,077,035,373,899,835,245,022,332,312,075,
011,256,173,119,977,310,313,006,692,627,269,930,145,155,804,866,103,127,623,
099,028,762,588,812,303,871,796,695,419,144,889,179,927,918,104,271,858,820,
018,482,527,538,931,272,100,212,415,495,614,687,765,605,716,665,972,702,936,
597,890,604,155,587,438,602,509,835,418,600,592,649,483,777,421,326,886,790,
500,099,794,660,051,068,677,507,803,966,804,794,969,132,039,957,256,624,518,
456,059,792,367,177,166,243,028,599,747,681,291,567,578,152,158,779,466,282,
792,073,786,536,221,018,880,608,262,372,930,137,170,931,896,597,848,255,986,
449,425,951,295,423,682,386,589,506,881,516,813,812,912,608,641,788,202,626,
418,578,861,352,094,156,342,741,964,427,148,701,150,724,568,901,058,511,664,
439,475,493,886,630,130,215,274,887,315,075,438,233,430,434,997,474,474,553,
013,383,425,987,204,762,049,165,271,944,948,103,732,208,630,107,761,117,980,
787,771,192,467,324,586,247,460,209,264,764,163,484,482,623,029,524,083,913,
377,313,420,248,674,991,812,572,527,224,710,559,819,655,825,710,801,118,491,
492,981,802,359,322,178,390,692,200,153,343,737,323,779,030,185,660,131,445,
985,693,194,016,888,425,552,773,382,761,481,398,572,801,906,033,722,280,832,
558,291,574,835,560,635,430,762,190,637,151,275,437,843,567,128,864,783,103,
821,407,959,958,044,777,545,372,891,067,731,705,407,650,663,679,946,393,556,
917,007,575,074,756,877,579,402,620,926,997,425,224,253,892,600,555,072,214,
325,085,295,477,575,263,013,302,405,081,568,108,379,107,502,936,636,677,904,
994,245,769,203,234,926,815,652,316,823,498,527,435,492,842,319,523,042,507,
858,463,414,336,880,417,507,975,737,766,416,223,719,231,114,823,315,643,864,
484,204,221,481,546,881,587,684,454,024,641,850,249,835,005,387,712,903,610,
720,348,277,438,825,274,209,634,920,013,374,585,945,476,096,954,460,790,155,
522,544,907,019,175,290,430,752,681,082,771,566,025,601,482,952,331,168,804,
761,357,405,600,715,997,818,770,134,855,685,894,683,348,140,403,511,878,724,
795,625,639,409,190,458,119,192,862,582,591,523,531,871,006,359,784,899,099,
680,253,869,472,920,930,889,478,742,262,585,068,254,992,012,764,271,011,218,
379,823,392,859,745,431,641,264,733,599,563,965,101,891,252,131,681,198,147,
573,109,426,516,174,771,429,353,259,774,342,390,040,723,597,743,731,853,874,
178,017,327,898,813,303,715,696,229,270,239,043,606,507,880,432,784,979,022,
311,637,595,889,404,795,285,436,694,331,095,432,825,962,064,298,314,607,573,
130,520,486,936,451,611,166,625,888,029,646,282,875,954,090,946,742,103,808,
584,109,892,886,785,530,985,780,756,640,195,340,933,990,443,972,361,806,373,
608,390,480,802,866,122,569,813,676,835,194,822,688,718,925,762,704,289,132,
329,989,093,173,156,106,340,248,489,340,661,970,470,071,973,590,896,967,031,
805,407,111,947,274,209,063,242,310,981,781,921,464,693,919,785,902,083,543,
832,460,005,504,112,522,105,582,791,482,844,292,125,423,479,375,064,253,269,
163,947,802,844,573,096,554,911,266,674,582,879,883,310,883,281,125,587,696,
273,167,558,432,856,253,253,894,297,780,788,464,491,907,270,348,424,548,636,
847,640,323,727,340,798,504,444,531,110,858,738,068,709,448,105,002,321,917,
126,739,138,765,495,933,147,411,730,202,790,178,286,795,321,870,444,412,918,
214,324,002,639,715,849,673,111,852,951,867,045,056,775,020,246,812,933,609,
448,643,894,979,933,574,072,733,042,964,035,903,944,124,551,529,389,367,529,
999,257,932,423,943,820,628,328,109,354,054,051,308,859,026,671,927,700,570,
965,771,002,701,573,827,659,178,672,287,992,637,280,480,553,110,822,680,403,
537,670,108,731,093,520,204,473,536,010,041,476,154,864,434,418,358,513,531,
733,013,627,306,634,101,889,573,423,101,178,117,726,470,131,763,917,716,923,
272,403,029,073,612,727,265,398,393,902,450,909,278,130,530,159,839,438,730,
593,683,079,548,610,111,996,078,550,343,703,904,827,871,982,402,735,873,271,
758,258,048,560,428,419,822,232,310,595,117,308,522,779,811,935,772,772,231,
082,213,439,084,624,713,097,788,524,190,601,502,323,474,948,543,642,721,588,
296,788,344,986,681,731,444,004,373,195,180,255,791,756,893,309,726,132,259,
245,749,145,720,647,892,343,565,855,818,216,369,561,574,399,398,218,735,902,
495,963,971,593,301,297,946,492,646,241,009,208,116,812,594,826,048,673,317,
221,360,646,736,200,838,120,289,468,830,876,705,202,096,870,591,426,174,792,
177,248,012,893,257,312,759,820,948,628,684,503,406,066,802,285,706,720,962,
322,667,555,850,356,859,429,572,699,815,363,839,662,711,374,864,246,378,984,
425,896,846,338,670,562,864,856,728,259,287,866,053,785,954,925,521,908,217,
585,677,596,107,453,408,826,507,652,534,146,711,797,372,547,726,452,590,992,
604,856,837,330,441,795,815,674,338,891,559,025,978,837,151,212,621,255,425,
990,115,321,673,970,660,294,884,411,205,268,374,549,641,158,122,696,917,582,
656,708,407,284,833,607,113,112,143,950,297,768,663,160,334,460,570,648,379,
903,848,452,367,072,778,358,329,664,451,599,998,780,290,974,978,872,803,084,
600,909,457,515,319,362,491,455,561,359,480,693,615,996,177,424,152,234,071,
519,399,426,375,218,540,206,052,757,666,390,240,707,177,455,614,651,518,936,
899,604,115,928,293,967,299,407,502,685,262,988,091,076,823,203,395,777,598,
965,036,239,817,932,872,794,012,254,102,487,428,776,702,395,494,708,728,309,
485,703,636,653,364,477,979,509,022,362,577,385,704,903,360,449,710,873,947,
425,237,953,184,413,798,195,945,074,438,855,797,982,457,524,063,784,282,186,
072,476,134,124,731,056,401,383,233,299,864,104,148,008,450,297,976,443,541,
484,835,265,244,513,415,644,855,297,609,901,808,271,883,059,875,746,970,911,
389,964,848,488,110,259,779,554,970,128,895,202,483,693,413,844,714,214,379,
143,566,854,332,887,997,927,855,266,547,413,335,998,712,426,398,557,182,088,
414,249,729,213,776,567,396,045,558,930,531,447,920,396,324,439,828,619,462,
410,508,661,010,870,333,413,512,879,034,704,063,202,382,003,919,875,176,686,
786,173,859,406,398,949,986,250,546,192,868,849,438,913,585,502,649,216,400,
299,174,131,580,406,352,276,403,386,503,748,156,623,128,736,895,170,045,438,
812,045,902,316,661,998,628,959,572,672,078,343,083,124,407,599,269,363,826,
240,213,319,936,956,124,551,508,857,781,668,401,156,304,494,324,086,765,595,
778,493,265,891,259,211,747,631,417,648,919,511,923,587,062,300,602,024,279,
814,096,215,686,856,658,987,532,798,512,478,783,385,549,770,747,857,545,571,
116,046,792,752,755,531,889,267,620,771,355,459,300,578,891,634,244,038,808,
391,105,315,685,394,574,630,669,340,833,956,387,369,718,026,876,365,222,934,
016,034,617,132,000,373,563,041,616,080,672,513,493,755,313,220,418,541,858,
629,505,335,801,445,067,386,926,239,730,591,691,009,858,285,802,685,816,722,
908,946,971,023,934,534,039,146,810,605,274,667,891,103,177,243,077,836,835,
317,496,687,285,148,459,823,310,454,911,451,242,395,449,296,968,094,043,704,
448,414,248,388,272,122,552,501,487,496,339,033,838,376,371,489,363,968,480,
015,125,208,457,895,190,911,786,424,084,059,611,153,711,135,920,163,610,208,
907,026,174,926,166,661,483,863,166,188,646,146,316,476,044,431,979,676,343,
110,675,233,388,011,186,292,964,045,092,570,880,731,308,719,662,286,444,904,
855,161,914,138,504,218,684,605,384,043,255,114,480,299,559,160,263,095,632,
463,844,426,817,527,936,311,091,136,534,786,355,919,576,504,512,985,357,627,
596,658,421,472,037,602,866,519,544,327,088,187,563,129,311,102,277,611,988,
529,946,217,225,560,642,481,473,689,181,429,511,415,472,769,893,723,544,402,
564,124,801,022,889,548,224,037,227,582,350,793,890,015,064,144,449,221,673,
976,320,190,701,797,158,277,839,145,775,528,491,866,817,299,045,077,206,271,
745,674,515,231,648,023,273,122,548,373,075,455,954,972,498,244,890,720,420,
114,113,534,101,297,682,998,412,032,135,595,784,646,114,952,248,926,053,504,
957,658,625,071,883,666,410,267,958,607,145,783,387,187,431,318,272,400,042,
725,050,061,095,521,506,150,463,429,635,434,548,168,078,100,982,579,542,182,
816,733,395,851,581,209,625,582,015,140,870,978,259,860,063,663,889,636,534,
380,033,518,062,249,202,971,916,383,415,069,315,706,623,314,208,757,144,124,
214,559,012,211,723,532,321,461,799,591,550,555,821,282,773,678,563,986,612,
857,689,972,391,036,484,677,584,900,126,449,845,167,727,644,698,281,416,533,
550,962,578,223,082,300,732,528,959,221,230,223,265,774,821,501,439,095,728,
696,566,873,563,384,972,824,466,247,289,321,879,986,079,473,778,396,438,660,
100,191,194,157,012,628,660,146,270,954,145,763,283,780,562,635,818,674,438,
382,533,294,903,592,345,199,020,235,257,968,875,183,574,600,503,769,351,513,
922,474,918,443,426,479,025,372,467,041,917,601,311,856,519,265,581,000,644,
598,638,162,779,419,996,046,084,789,277,474,112,339,074,178,963,389,745,409,
437,601,882,504,594,745,809,851,079,016,569,852,347,536,875,885,792,912,913,
598,714,412,120,817,972,803,475,795,481,819,785,926,104,807,958,386,839,928,
942,541,450,150,270,615,217,317,131,921,809,422,071,508,449,873,759,696,022,
468,376,208,408,432,951,519,137,882,247,352,437,572,627,155,479,584,774,629,
569,115,529,443,797,391,685,193,636,977,968,788,998,860,507,812,680,062,309,
146,727,710,470,933,391,442,120,803,597,635,881,489,105,033,691,495,887,082,
464,385,616,483,208,142,194,680,925,299,113,644,953,166,777,390,773,690,585,
874,571,840,878,674,035,710,228,207,095,960,924,449,242,701,399,601,584,171,
822,648,470,728,817,217,314,087,196,395,819,979,547,848,012,398,574,543,781,
288,860,326,245,032,413,016,748,839,531,158,476,654,957,634,786,398,066,744,
111,690,793,221,360,643,175,688,571,288,592,738,792,382,310,259,422,660,024,
867,953,369,992,132,602,649,659,001,891,177,656,700,456,892,626,887,382,351,
418,853,619,891,065,414,290,806,214,823,436,838,355,694,313,030,254,245,149,
216,499,278,471,528,653,803,376,866,926,633,896,172,824,856,949,806,209,207,
421,543,921,544,577,879,544,341,928,375,918,510,692,601,924,442,689,319,646,
525,393,812,406,628,886,521,210,849,202,566,613,730,438,563,498,756,539,601,
005,809,699,835,208,340,330,153,775,616,797,028,969,590,802,844,254,265,759,
551,142,811,057,895,013,660,767,428,198,400,706,003,081,952,475,724,849,995,
763,412,490,020,875,312,496,416,121,914,923,453,514,303,522,799,619,145,984,
330,833,594,152,035,740,332,073,562,751,122,898,225,005,541,803,472,750,965,
042,389,274,183,697,572,504,722,725,760,279,637,196,536,393,973,723,484,959,
562,707,630,988,012,084,248,627,305,677,502,392,509,128,248,913,551,082,325,
646,051,502,351,569,990,713,231,397,285,897,156,425,355,785,575,979,496,455,
251,980,017,306,461,349,687,608,086,229,779,902,834,707,750,982,201,428,288,
931,338,096,135,062,719,146,564,818,506,306,816,218,621,311,943,820,638,693,
860,527,369,592,756,346,471,754,777,843,454,955,124,124,490,198,546,266,627,
192,924,443,198,749,170,718,391,954,304,882,228,075,379,038,483,565,736,974,
499,099,800,692,811,588,680,886,381,120,764,327,481,663,623,207,216,399,042,
105,316,857,319,312,377,884,099,885,377,553,077,589,182,384,595,524,547,511,
086,111,844,198,803,561,034,527,502,784,515,396,313,888,758,333,324,094,090,
204,880,009,918,013,868,120,255,794,379,504,278,775,506,744,118,462,942,095,
006,874,847,143,516,557,730,932,459,698,151,528,286,792,565,148,986,384,941,
641,899,903,414,196,700,654,249,609,332,735,198,891,829,678,757,482,306,973,
944,998,118,667,177,324,184,373,500,186,259,350,561,462,553,749,005,424,794,
523,791,932,632,787,535,420,780,599,237,190,317,818,461,208,370,308,937,062,
483,878,906,190,767,910,216,877,195,347,127,958,604,143,413,085,463,600,568,
083,716,421,754,643,288,223,136,227,966,882,066,283,488,477,677,377,512,443,
837,971,052,177,794,619,775,376,628,677,802,082,898,302,547,740,885,703,054,
444,909,038,698,665,368,456,200,248,815,539,919,718,766,958,429,662,326,361,
580,672,375,068,295,126,929,234,218,460,911,796,219,517,683,798,922,572,536,
469,844,158,860,151,400,923,657,679,398,424,478,272,905,762,732,261,663,854,
224,482,206,719,969,627,810,124,404,548,566,851,109,185,806,494,240,532,343,
853,065,211,560,480,913,030,933,285,960,291,043,421,761,319,521,316,264,499,
837,250,692,063,113,403,272,786,928,094,538,346,374,364,920,297,604,909,156,
160,087,574,773,800,598,350,186,437,743,396,449,227,446,277,960,751,609,411,
126,410,713,243,718,330,237,306,197,010,532,424,401,033,706,157,899,232,272,
969,100,693,616,641,703,773,696,465,877,535,213,576,443,112,518,439,484,157,
471,125,844,375,803,594,119,568,598,435,426,066,315,050,978,661,868,157,736,
396,043,539,466,710,274,745,208,564,861,172,850,000,513,714,564,018,377,871,
266,607,347,871,054,613,377,409,404,488,352,534,651,253,099,181,463,996,261,
448,433,424,510,985,557,664,127,274,190,787,682,512,753,809,912,423,812,403,
709,415,816,592,921,753,162,180,117,695,890,373,743,795,628,308,355,538,106,
387,590,545,353,359,698,642,487,044,479,695,820,178,761,483,590,229,840,321,
323,041,711,176,819,589,635,786,560,597,608,692,805,070,630,006,238,525,399,
640,063,463,072,269,442,840,737,913,355,590,442,511,961,132,460,017,740,695,
390,135,111,315,078,134,954,748,154,676,074,768,345,817,462,530,665,130,000,
200,798,151,014,070,527,650,893,854,280,871,809,955,198,805,494,459,589,914,
897,824,200,312,724,238,139,511,765,505,647,295,976,516,931,075,750,805,624,
676,679,886,576,913,828,815,575,889,932,987,120,597,744,408,182,152,855,700,
600,680,710,084,024,119,421,904,116,664,408,381,862,553,320,540,589,221,988,
358,236,488,029,682,091,263,691,916,625,758,374,096,409,576,065,141,987,015,
968,680,883,674,142,775,906,276,633,391,540,440,282,352,367,596,161,060,450,
155,751,950,105,121,068,794,083,409,050,860,395,057,426,990,259,625,484,107,
736,221,496,157,118,634,371,154,847,669,559,269,253,866,630,812,072,448,904,
448,065,665,767,510,204,623,342,308,003,125,492,784,709,169,244,081,806,078,
306,231,166,571,618,781,899,682,661,547,796,803,000,476,000,181,389,556,454,
229,932,354,839,253,267,003,184,970,570,590,157,174,415,656,331,827,784,274,
253,876,169,436,308,384,452,570,571,905,849,194,846,152,785,392,756,505,371,
525,623,073,436,050,761,915,830,296,733,824,213,333,317,296,031,493,347,855,
181,926,949,202,354,820,535,278,363,116,837,360,481,503,351,450,583,322,897,
534,202,560,794,196,893,832,881,505,041,189,043,230,476,123,543,243,760,615,
359,432,249,929,758,259,490,688,016,835,967,343,803,150,324,839,701,735,570,
283,161,945,502,494,097,417,640,680,317,955,692,639,446,457,179,455,172,027,
094,332,197,615,035,126,790,460,988,161,557,901,364,291,990,239,902,119,276,
669,788,008,081,469,847,533,880,031,282,169,116,487,342,619,482,956,825,490,
178,057,920,326,288,307,657,733,687,077,816,414,004,736,090,695,917,789,834,
021,944,505,241,786,866,098,297,350,568,529,957,007,849,256,739,547,569,796,
628,122,962,404,897,760,194,281,982,786,643,637,397,868,873,767,930,948,047,
689,368,976,714,270,320,360,940,643,774,170,512,573,992,294,279,632,221,899,
905,012,700,450,006,697,834,954,475,178,432,984,202,935,497,086,496,288,391,
598,401,571,926,190,729,462,173,359,660,125,232,266,358,649,950,263,513,074,
291,085,847,961,025,299,021,457,371,924,324,413,720,161,714,247,789,354,975,
984,328,281,849,120,657,150,532,118,069,047,175,891,548,301,421,665,972,654,
419,261,789,766,220,239,815,626,686,413,795,580,832,762,406,479,508,577,778,
871,288,288,905,379,498,812,910,350,398,571,726,158,383,714,391,662,963,282,
774,292,765,217,478,171,676,997,374,727,176,710,966,558,992,709,192,892,510,
553,991,216,361,137,793,555,913,400,303,029,188,067,821,368,545,308,332,565,
688,529,845,030,498,336,008,597,026,157,990,924,609,328,825,055,095,621,240,
243,334,116,197,131,353,477,159,922,203,230,834,307,891,781,402,610,911,602,
167,737,088,010,281,550,996,523,861,742,655,763,312,099,440,085,770,112,573,
982,172,658,728,104,329,661,442,753,153,351,867,711,242,819,287,341,050,772,
076,541,558,732,884,336,673,331,910,724,817,319,501,287,994,617,174,478,521,
549,035,597,996,904,744,031,029,807,420,071,614,715,059,180,538,620,616,208,
654,871,190,961,587,319,910,637,499,268,257,457,583,069,265,781,204,174,888,
527,948,716,584,737,689,044,465,092,899,255,039,968,951,089,405,190,999,541,
534,189,132,243,092,139,894,177,339,137,978,644,823,145,617,416,771,435,925,
235,045,952,192,508,396,495,814,427,525,264,813,437,337,554,771,431,251,989,
376,268,080,668,387,696,938,262,505,765,932,539,307,174,498,582,223,238,655,
285,066,715,661,826,926,802,027,616,661,366,686,127,169,554,184,097,467,333,
037,947,983,978,031,262,357,987,290,930,215,105,850,908,792,577,153,349,195,
744,944,147,501,900,274,493,708,119,988,241,539,301,765,946,379,690,990,844,
791,932,465,890,675,406,648,194,024,720,193,480,352,303,273,172,525,229,416,
180,712,141,469,562,114,298,266,649,660,558,685,092,361,235,610,309,678,691,
438,588,114,427,483,311,855,253,101,251,278,992,255,564,240,318,732,156,946,
198,411,656,688,896,487,377,941,216,481,895,432,684,675,239,271,732,954,949,
945,064,611,959,063,316,575,721,135,360,348,976,019,357,161,657,674,093,156,
136,552,470,158,072,103,815,306,902,178,294,324,860,504,241,822,636,151,735,
769,791,344,528,546,545,328,378,443,042,133,251,953,204,393,762,328,685,324,
326,084,220,989,559,177,448,964,608,153,350,734,931,727,406,635,299,626,052,
471,400,934,895,912,436,899,490,433,213,100,696,829,130,440,468,548,984,759,
314,522,439,841,888,371,087,463,699,669,124,943,369,328,168,207,259,117,019,
912,942,342,148,963,758,847,783,733,373,838,832,088,015,959,252,269,832,220,
116,185,819,727,552,240,948,188,604,392,454,370,912,239,392,629,063,244,157,
938,436,796,506,906,026,192,423,136,459,842,696,355,260,167,991,760,247,642,
062,579,116,832,545,773,153,480,566,698,238,161,282,068,320,345,270,992,037,
483,297,018,244,246,200,092,637,696,296,904,456,621,562,433,850,518,988,806,
546,178,268,879,974,327,361,351,832,999,107,863,312,737,575,848,922,035,821,
497,951,255,053,361,385,949,543,698,080,476,815,611,956,619,404,911,082,487,
089,878,684,805,814,973,842,255,199,608,485,391,711,448,909,848,189,273,220,
907,330,807,499,699,202,768,764,945,079,380,803,667,089,419,504,910,748,280,
327,048,285,145,968,925,269,810,128,440,155,387,142,985,771,396,871,637,810,
644,279,294,526,712,941,318,078,536,484,542,612,230,888,721,639,474,915,159,
920,560,766,561,927,038,111,649,109,495,320,913,761,667,627,201,000,093,891,
893,821,219,324,734,131,754,345,326,950,999,326,170,591,963,561,669,033,802,
212,493,674,180,110,777,206,837,460,948,594,792,302,180,710,138,648,802,899,
791,689,364,123,824,833,720,245,079,044,616,808,600,141,901,948,394,310,958,
514,126,388,679,411,722,776,063,863,418,535,540,449,295,473,621,256,251,877,
923,356,942,757,846,931,357,177,782,566,397,362,690,770,690,361,949,415,185,
102,005,302,916,912,818,556,916,397,059,182,919,651,079,117,951,543,482,780,
216,632,536,326,299,356,698,063,350,856,519,723,343,442,619,423,337,658,992,
095,368,783,058,725,208,101,405,975,703,194,952,473,414,420,014,054,859,582,
927,458,269,206,597,573,692,752,232,488,397,004,364,787,385,806,927,058,739,
141,373,191,501,242,357,484,096,161,364,499,309,480,192,497,647,578,108,078,
310,024,435,936,464,818,623,664,947,960,094,618,554,899,576,841,463,226,847,
360,738,700,759,089,477,380,869,604,701,540,109,412,567,646,124,191,253,692,
798,155,933,061,284,744,307,312,977,329,876,196,317,629,694,634,877,647,014,
184,593,027,225,673,864,000,714,439,895,185,512,241,146,155,798,242,170,166,
007,583,423,037,430,120,038,103,366,004,147,998,540,834,234,620,255,570,514,
517,011,492,755,925,495,596,248,583,192,999,545,516,028,551,691,463,301,163,
909,810,232,027,929,198,933,817,449,085,664,065,030,451,754,193,620,691,725,
145,544,004,032,570,873,468,202,495,890,002,101,072,464,756,515,510,904,673,
883,666,498,858,524,838,879,320,480,017,255,463,666,760,364,478,537,991,451,
536,876,471,471,575,969,712,959,531,078,586,073,489,127,887,041,283,171,514,
489,975,785,217,049,181,842,288,427,955,786,221,778,317,371,131,132,342,468,
793,500,038,546,135,311,730,903,211,598,780,103,209,650,653,416,410,471,728,
605,762,821,354,505,415,804,675,102,406,946,204,306,899,491,020,937,403,568,
266,157,099,626,676,358,960,330,959,593,387,853,070,221,507,237,626,400,030,
012,243,880,684,575,903,287,223,675,898,185,216,456,252,246,636,548,142,045,
402,462,522,027,018,327,280,305,579,254,105,530,122,050,686,884,058,220,291,
686,587,164,147,041,878,391,749,469,912,171,177,817,277,828,296,641,581,535,
064,311,281,472,983,413,786,782,829,792,889,026,496,499,637,483,949,882,121,
211,602,277,331,873,237,469,491,846,777,031,053,568,829,375,431,113,662,233,
366,910,402,726,861,692,357,483,954,003,846,395,312,492,609,788,022,135,713,
352,534,228,967,412,289,369,715,711,360,955,856,356,507,030,208,405,367,132,
993,597,499,254,684,573,048,851,017,307,796,840,018,353,021,708,372,843,042,
872,293,733,948,458,571,117,483,486,002,085,888,301,916,693,102,378,176,524,
216,366,747,783,263,596,588,516,515,818,135,300,766,261,055,946,777,155,783,
208,322,646,006,497,354,503,182,515,624,429,339,337,820,192,916,090,816,781,
226,666,338,428,229,298,882,221,244,577,533,618,653,699,014,710,822,882,715,
554,294,935,433,996,623,789,982,168,734,297,903,006,220,461,501,813,113,678,
685,639,752,067,898,607,814,195,397,186,592,846,073,271,885,301,785,623,825,
816,170,944,918,587,874,436,753,154,901,884,780,875,331,355,660,000,220,386,
240,156,047,018,048,205,415,833,541,241,358,124,126,430,853,406,524,437,296,
873,731,427,985,778,805,839,819,597,257,144,140,095,402,373,941,211,055,059,
143,792,614,736,042,520,759,932,873,098,792,863,078,700,741,294,823,359,487,
076,463,640,582,138,845,089,770,876,700,667,666,875,564,884,431,125,806,109,
592,872,422,461,681,641,156,522,713,964,002,404,183,088,233,300,741,522,155,
370,711,917,898,863,884,237,582,750,617,015,515,397,993,042,514,409,059,554,
497,885,890,075,624,246,777,924,330,555,491,598,393,046,650,087,182,471,748,
154,970,476,139,952,815,457,696,586,638,699,628,357,351,760,581,222,628,039,
638,528,064,104,933,884,076,894,806,311,794,577,854,542,809,490,851,437,820,
671,011,271,055,410,535,002,412,159,622,902,302,475,740,879,702,570,554,340,
691,045,110,413,939,140,726,849,971,160,972,277,624,902,552,156,367,756,334,
340,735,332,428,149,419,181,113,628,877,526,396,126,277,025,480,165,976,319,
017,681,192,496,244,058,744,759,563,841,754,766,699,762,700,680,741,731,787,
887,893,589,153,493,202,354,894,613,887,348,922,613,242,633,795,993,737,138,
234,401,173,885,032,630,937,818,929,203,190,556,668,811,788,495,218,099,090,
105,566,278,297,657,888,745,507,901,094,711,374,690,969,184,844,280,793,499,
318,752,342,159,723,902,294,253,142,615,717,015,010,185,177,708,133,331,450,
036,599,356,894,496,592,838,802,708,103,811,354,134,368,668,486,768,367,913,
768,968,016,741,069,125,703,023,319,672,251,380,429,100,014,002,654,619,721,
123,709,036,593,636,560,529,042,786,573,749,917,922,418,122,852,318,536,687,
100,048,612,647,123,491,577,583,608,806,221,300,185,657,865,514,442,571,980,
536,938,888,190,029,299,708,762,238,209,275,718,503,992,570,899,919,359,971,
872,707,736,802,882,538,216,124,368,287,805,058,710,265,462,503,096,614,167,
938,863,487,388,393,721,164,071,145,978,498,452,633,838,150,528,786,688,963,
804,164,202,178,292,124,415,442,040,061,518,531,368,405,044,598,845,385,582,
280,766,187,252,795,016,089,515,303,125,702,447,860,640,315,149,362,157,045,
094,095,384,066,974,275,315,108,063,976,237,679,313,515,949,338,137,201,259,
015,068,760,560,974,106,171,239,409,995,441,685,778,776,678,143,955,265,932,
948,842,803,056,350,538,390,380,120,199,064,907,517,401,043,897,024,644,706,
939,221,378,014,025,584,241,865,168,248,640,167,655,168,851,754,559,911,645,
325,211,701,620,181,743,144,121,432,186,611,120,647,890,880,891,392,537,791,
247,979,133,499,312,556,009,796,918,721,050,070,315,874,525,811,695,296,115,
411,864,389,756,843,165,194,228,667,397,981,461,823,723,109,590,580,804,031,
608,182,085,813,051,973,296,069,542,505,256,791,374,544,838,639,563,265,408,
870,072,074,627,292,514,090,658,580,159,503,153,793,039,118,476,934,045,103,
351,428,197,178,347,372,139,552,240,420,563,713,283,764,088,770,619,495,377,
935,793,587,201,614,516,684,221,277,733,188,495,939,744,636,154,069,516,721,
908,203,535,143,132,997,444,829,678,782,110,003,539,334,847,233,240,854,269,
558,310,828,520,920,980,207,344,831,072,111,847,108,154,331,767,795,107,969,
249,489,390,655,072,361,243,991,570,397,611,162,550,934,600,971,154,183,274,
854,488,726,819,346,557,604,103,530,737,286,728,816,447,268,946,186,676,235,
152,683,904,350,534,577,989,804,012,458,387,018,295,756,951,286,933,285,490,
042,845,302,089,453,926,118,478,949,924,168,810,853,447,071,081,088,937,763,
420,208,249,072,866,020,506,082,378,717,358,268,017,715,995,538,624,315,395,
642,509,008,083,120,290,691,863,566,079,519,712,504,306,391,414,180,937,296,
798,890,701,407,661,626,470,524,900,680,893,939,402,711,322,324,916,906,833,
972,611,912,435,508,044,787,742,377,112,626,035,998,594,484,091,298,404,372,
918,529,140,529,297,434,450,423,713,619,595,238,297,179,839,216,786,629,080,
995,568,747,200,627,372,500,198,694,278,605,811,410,567,577,566,195,470,111,
287,350,107,366,918,167,471,229,269,029,498,782,450,641,388,396,227,979,476,
199,154,244,936,711,919,642,029,180,421,642,314,866,179,633,794,020,452,276,
522,637,413,085,238,963,175,615,920,382,553,026,729,011,991,093,326,289,249,
998,441,785,235,323,497,036,123,371,829,951,682,445,546,258,808,349,888,859,
778,433,655,874,828,194,148,909,603,815,512,134,841,784,884,704,483,017,600,
215,374,162,776,409,552,266,757,012,570,892,617,507,447,952,460,954,946,129,
036,732,524,072,546,009,685,579,610,720,380,522,495,803,742,531,290,185,087,
400,120,750,575,817,360,119,467,788,643,093,846,806,007,910,815,995,797,253,
201,391,099,242,696,109,665,736,090,120,103,255,276,694,537,521,717,417,475,
851,386,120,677,686,037,240,427,548,162,121,887,225,043,004,874,852,228,192,
786,830,534,275,251,330,601,910,591,044,987,278,037,358,105,291,159,505,862,
836,150,510,798,081,271,685,685,301,212,521,956,535,666,634,084,732,292,113,
433,863,725,231,646,969,128,034,842,276,160,864,949,295,046,508,106,474,863,
354,626,942,306,699,431,069,179,814,297,425,552,379,251,073,262,838,845,218,
417,041,745,645,228,640,969,645,344,390,951,368,436,371,977,747,624,688,108,
071,871,056,488,826,563,462,637,882,406,074,037,235,858,783,273,285,942,228,
797,339,065,407,243,279,810,800,429,287,650,314,414,826,342,531,941,641,555,
263,940,245,719,624,127,741,064,344,758,264,192,564,958,997,485,619,598,364,
689,366,970,965,878,798,966,513,740,936,410,333,898,094,149,887,005,190,872,
637,547,230,923,556,606,461,254,129,457,867,692,376,131,945,808,859,633,550,
827,922,377,789,968,394,813,981,333,305,028,100,853,994,085,144,481,379,771,
835,263,913,537,324,870,723,706,653,646,719,847,889,672,595,979,029,945,878,
541,736,367,511,855,534,139,229,489,028,869,601,790,411,122,239,205,443,817,
940,721,436,562,956,334,292,655,335,486,179,886,739,725,710,886,514,795,300,
185,075,090,530,454,825,953,574,717,701,884,214,803,773,330,317,972,587,134,
198,544,534,672,836,621,909,027,441,975,552,615,277,541,102,151,673,044,285,
241,436,803,298,479,979,074,068,959,588,026,616,045,585,984,226,308,466,773,
679,359,284,885,211,917,112,259,054,564,917,733,891,022,452,040,350,489,757,
055,372,980,813,550,817,407,787,035,021,166,672,541,261,776,869,588,884,657,
473,614,849,498,159,146,359,013,592,776,372,187,715,095,402,243,494,058,789,
092,909,091,406,096,046,359,155,644,545,545,969,760,148,958,048,089,194,836,
209,108,659,400,424,998,642,436,380,577,952,965,653,127,909,673,238,217,878,
703,989,265,421,359,864,682,833,546,279,806,547,152,292,288,038,799,420,177,
736,449,347,626,282,562,926,589,294,065,328,343,241,896,023,403,137,624,665,
828,416,106,847,876,796,522,282,032,452,179,614,357,357,027,340,360,801,264,
195,290,131,937,157,678,850,545,985,670,218,839,157,016,974,607,597,205,279,
736,010,875,924,073,330,504,683,426,372,415,652,642,273,877,135,852,481,754,
073,753,530,367,165,208,105,111,419,225,351,773,670,814,244,904,490,595,719,
344,923,933,084,785,972,972,746,819,455,364,842,122,262,791,226,609,160,988,
235,555,623,002,803,738,217,669,903,646,082,015,246,554,447,294,473,928,197,
868,317,085,831,590,580,727,686,687,453,566,026,653,879,963,470,302,206,120,
234,661,141,295,228,111,670,372,694,731,232,281,663,662,560,458,911,498,198,
663,990,384,550,943,477,180,649,119,374,346,973,253,983,751,274,172,957,557,
514,133,693,723,343,877,469,558,371,054,031,453,476,973,290,752,940,224,150,
059,399,437,883,425,702,751,441,330,226,983,145,832,937,201,651,837,933,032,
177,493,455,556,792,729,935,296,825,363,770,292,831,769,772,751,186,239,586,
490,507,162,663,809,398,675,801,017,494,939,660,510,377,158,640,880,754,395,
975,073,882,588,372,590,598,204,294,595,356,268,505,357,792,921,559,082,566,
735,764,890,463,520,141,414,624,187,684,229,846,344,029,073,712,051,234,542,
658,485,173,099,932,318,626,441,945,797,312,372,171,551,318,323,919,700,163,
737,717,495,022,377,888,841,731,046,267,209,173,560,378,732,270,354,917,660,
730,046,449,250,228,988,032,291,517,850,506,002,175,462,422,876,183,688,191,
870,264,797,964,815,879,593,528,410,235,675,689,659,548,886,727,352,460,301,
295,494,702,605,747,397,500,243,047,549,376,165,589,327,023,293,259,663,345,
834,582,822,917,208,305,682,893,565,961,407,363,094,418,143,033,859,085,133,
830,282,772,310,776,985,257,803,218,707,344,002,015,658,441,388,174,091,444,
467,317,116,295,276,177,141,920,859,557,411,865,220,064,745,027,010,181,508,
881,666,233,721,824,194,829,844,457,581,737,389,132,199,376,410,073,448,986,
303,386,339,170,817,025,084,591,113,462,916,243,800,181,407,652,587,952,119,
198,244,018,113,218,818,985,551,022,027,779,455,853,013,531,479,247,257,971,
018,772,529,675,045,808,876,802,076,008,511,395,501,640,304,813,210,961,715,
766,368,674,912,651,247,267,933,042,207,971,409,726,500,800,164,224,005,126,
392,488,764,214,053,270,496,182,341,109,904,137,509,123,594,701,874,451,853,
576,359,883,444,549,790,484,071,105,713,373,901,703,973,295,728,283,830,727,
536,528,256,418,985,306,936,000,364,150,250,697,090,778,228,288,177,259,446,
527,122,419,225,573,774,213,573,807,123,621,123,584,433,542,379,634,191,260,
680,909,494,902,329,677,882,902,461,658,136,375,510,196,719,615,681,116,209,
642,525,734,448,371,044,446,270,804,614,375,949,275,137,498,627,951,211,160,
324,352,963,646,538,374,586,667,619,942,055,227,995,686,462,596,868,760,573,
095,630,345,413,531,220,546,546,428,028,685,113,748,958,872,287,235,500,714,
536,269,695,173,954,763,880,236,844,947,365,734,142,477,622,542,751,984,868,
647,132,280,364,645,339,127,285,264,771,565,734,918,847,174,269,354,613,153,
620,916,601,329,537,695,649,978,687,534,558,586,548,264,958,916,496,380,146,
946,889,809,122,862,811,233,446,124,558,837,582,234,482,939,488,581,105,243,
698,722,415,777,119,363,276,160,273,784,302,735,875,888,558,806,933,491,263,
323,427,063,582,392,205,206,452,817,762,478,231,543,527,822,566,741,912,224,
047,924,719,750,008,320,155,773,772,252,409,087,732,212,415,581,487,274,000,
615,080,198,226,605,170,334,384,751,780,823,849,522,858,812,476,223,242,512,
352,578,661,300,748,559,416,992,947,257,468,185,136,001,095,230,496,644,387,
508,261,072,140,927,595,038,940,994,226,944,115,965,381,031,238,894,067,500,
385,751,396,982,082,297,289,450,468,827,123,411,546,405,150,467,617,650,440,
293,786,384,675,883,555,223,683,223,882,731,547,883,776,030,618,945,733,952,
830,096,307,016,364,099,335,917,500,318,833,249,570,997,141,393,877,095,463,
643,208,865,686,512,070,550,486,701,505,064,321,244,486,511,178,686,834,022,
249,239,092,468,706,154,138,277,427,703,663,451,708,403,074,566,026,804,985,
449,912,327,301,272,805,250,672,670,389,409,302,848,395,646,752,828,635,263,
294,138,888,528,037,160,495,364,795,566,085,458,061,034,581,041,060,210,197,
265,986,779,880,027,204,714,572,729,051,204,602,289,674,602,221,484,449,463,
547,225,188,071,414,631,488,785,096,023,590,085,110,566,848,588,127,033,843,
423,193,994,043,438,934,244,661,657,601,424,841,546,675,492,375,217,699,729,
481,401,943,564,987,811,971,231,006,243,079,536,098,000,514,320,160,327,179,
852,427,492,535,183,612,376,471,810,426,095,727,100,921,141,557,166,098,810,
223,752,332,296,348,130,415,119,492,026,868,189,538,089,384,885,318,701,919,
526,931,887,697,688,098,992,186,254,327,481,896,678,101,396,149,460,526,802,
576,860,586,977,026,573,720,971,493,883,918,015,425,155,143,174,699,031,574,
566,049,849,356,925,595,067,256,248,103,228,850,020,555,856,128,680,067,830,
346,609,626,817,218,664,652,689,152,790,271,082,820,595,740,056,954,853,973,
841,277,408,773,857,142,505,866,023,806,270,294,512,156,221,020,821,382,424,
974,453,884,969,561,540,253,460,048,460,814,673,731,222,294,997,687,825,760,
493,723,220,901,538,940,726,553,653,035,086,975,289,490,507,454,737,007,235,
988,288,688,090,708,907,793,629,376,470,945,117,743,175,742,231,834,579,737,
146,681,970,257,307,471,522,746,717,224,279,426,169,465,496,767,289,884,747,
314,613,133,402,146,333,513,137,802,442,553,259,767,170,336,927,490,123,574,
913,102,234,461,062,086,706,347,223,396,374,409,962,880,672,400,244,883,702,
246,435,786,664,582,901,806,766,162,259,955,788,572,604,967,967,382,155,601,
218,258,040,123,406,862,372,248,754,179,123,415,748,940,964,066,202,883,315,
163,185,084,789,008,080,815,734,583,188,884,475,009,434,193,112,023,963,744,
362,803,481,618,819,680,919,094,770,420,349,746,177,351,365,416,324,961,734,
077,731,107,880,041,845,797,642,568,722,661,343,334,228,782,201,719,599,863,
092,280,019,613,697,513,900,051,039,596,662,435,049,960,423,801,968,246,799,
876,514,705,201,627,929,337,981,982,666,983,889,001,805,840,981,078,970,442,
117,315,672,186,589,652,186,832,322,645,944,787,228,595,861,752,075,286,356,
628,796,167,380,456,756,964,475,550,879,018,800,908,126,914,734,470,280,077,
814,107,306,661,538,592,311,650,345,435,608,905,505,151,793,007,891,529,165,
707,438,653,140,924,845,878,188,539,594,269,212,766,071,715,242,859,827,460,
960,179,283,899,829,834,516,467,712,056,073,329,035,062,901,356,157,702,221,
856,632,774,146,669,586,209,721,797,419,295,200,985,124,773,773,689,161,847,
824,062,836,475,097,477,180,305,049,067,916,725,446,770,402,532,722,571,289,
112,795,606,310,667,524,179,234,084,833,571,634,071,868,349,335,171,195,369,
886,316,979,586,934,437,255,306,316,942,343,922,418,322,996,348,229,738,403,
279,751,339,844,185,966,786,522,588,442,307,492,396,668,886,883,109,335,998,
085,004,851,380,176,077,803,383,586,044,816,533,193,956,385,895,706,602,369,
856,824,455,241,306,834,444,787,350,820,512,801,963,110,105,503,497,780,518,
919,809,815,686,724,552,029,425,206,562,685,487,008,556,997,011,803,957,517,
536,640,867,170,968,054,671,346,809,615,953,801,325,964,449,770,587,612,557,
732,130,602,919,906,479,321,669,606,664,099,385,937,365,899,739,418,382,821,
148,613,783,939,795,623,504,790,899,347,751,506,630,353,262,546,265,233,611,
823,991,405,994,329,276,634,330,525,758,817,206,672,210,052,316,595,046,861,
673,300,669,737,452,278,735,243,650,248,447,672,568,817,336,277,836,594,379,
136,946,749,062,211,824,612,654,532,696,754,423,488,098,792,298,588,758,651,
138,266,004,470,127,196,822,493,854,687,183,241,813,292,507,247,627,274,234,
760,040,860,164,389,376,705,227,760,846,929,707,333,160,803,435,097,258,228,
217,389,295,719,349,292,494,808,673,006,374,839,700,239,277,063,751,733,188,
349,589,605,600,855,095,118,127,200,497,655,514,338,314,598,684,201,524,699,
999,693,351,017,715,030,982,375,624,396,782,665,312,063,452,131,922,195,114,
085,115,078,266,839,267,206,229,282,112,387,188,058,065,073,018,753,628,285,
323,026,962,065,109,556,456,511,206,947,417,671,009,679,580,323,383,318,165,
331,383,742,752,704,450,101,253,961,483,520,897,087,944,110,123,439,293,430,
907,717,877,028,269,947,811,187,322,047,795,230,093,005,755,080,039,379,129,
579,549,145,030,650,880,531,184,524,106,434,717,629,613,591,264,266,044,137,
906,567,633,325,215,936,280,172,370,662,097,725,029,437,523,562,636,807,439,
208,564,511,615,883,328,178,594,191,645,382,242,550,321,033,105,170,390,732,
379,948,661,741,369,135,345,368,966,659,419,685,577,420,109,362,225,883,416,
585,296,587,139,052,567,497,377,411,529,732,687,613,843,046,124,585,730,094,
851,908,344,842,633,948,022,055,530,651,943,183,305,782,201,666,293,252,661,
995,785,963,992,295,366,501,372,345,457,762,429,777,461,472,787,962,055,292,
529,151,298,503,306,386,828,731,521,648,396,831,127,021,636,325,640,159,068,
538,067,299,299,463,665,302,680,867,900,459,748,612,869,736,539,136,396,238,
164,533,880,082,826,899,320,296,904,381,799,649,993,955,124,605,532,832,924,
148,222,737,657,657,756,872,184,211,289,469,479,491,977,519,419,219,814,161,
074,900,990,179,501,758,896,261,578,903,895,946,724,913,497,204,201,259,736,
830,259,587,484,472,047,936,934,148,117,520,108,538,961,656,533,298,058,176,
810,340,349,512,524,805,324,026,638,666,347,107,421,884,657,908,399,595,248,
413,163,883,699,150,314,897,249,022,147,884,285,365,665,189,138,195,472,462,
539,770,638,130,779,955,604,758,485,755,141,958,698,540,343,000,247,781,990,
498,077,568,583,383,300,426,654,160,117,092,673,127,804,843,522,090,003,373,
608,064,702,548,322,220,746,783,106,827,879,462,349,013,804,178,740,902,826,
816,498,819,831,516,965,686,062,622,040,434,984,792,817,770,094,937,712,679,
396,786,469,971,481,711,228,217,551,798,402,431,785,815,487,831,833,769,593,
115,118,997,601,235,862,650,237,060,154,367,576,371,399,256,683,134,879,848,
657,056,681,213,152,737,089,447,266,650,128,231,036,809,147,884,159,459,035,
991,749,457,677,969,253,389,029,283,222,844,134,943,215,310,474,489,877,875,
092,519,550,819,042,948,324,380,726,402,781,002,780,940,885,926,734,998,385,
343,161,188,608,954,312,255,943,000,893,208,995,379,716,206,488,918,448,190,
696,537,776,438,824,588,415,198,016,181,507,633,931,286,614,762,677,676,799,
026,292,433,669,279,076,235,215,634,055,794,164,187,739,176,319,945,684,406,
391,523,660,813,882,708,938,222,347,441,271,063,787,277,400,477,451,397,543,
031,994,197,665,887,482,390,857,507,289,404,412,561,225,887,813,945,040,210,
487,099,464,736,289,765,795,010,496,641,619,253,091,402,228,565,658,228,732,
830,606,785,286,602,115,561,224,594,822,634,426,351,928,452,690,586,499,934,
898,469,389,631,800,293,645,519,382,534,886,984,824,229,770,551,360,338,275,
595,631,161,143,562,752,507,697,984,463,377,786,018,307,382,843,276,006,560,
441,062,333,253,429,019,223,032,454,985,040,066,721,166,163,210,648,769,916,
460,254,992,820,056,450,265,742,447,517,744,517,011,452,963,192,910,260,035,
422,729,887,890,978,971,349,545,750,051,057,588,509,963,695,725,457,802,744,
318,627,862,066,781,970,689,826,678,460,392,113,891,903,978,677,017,813,196,
647,844,061,433,938,008,775,013,006,821,042,859,830,182,053,837,108,274,832,
145,640,139,278,779,874,515,024,851,673,782,973,693,589,765,582,709,640,134,
129,256,564,350,568,312,979,471,119,495,707,837,460,455,254,903,141,612,660,
505,585,079,654,825,743,225,401,025,402,660,410,431,419,056,102,638,268,781,
279,465,727,757,654,616,460,470,602,909,836,234,641,463,832,129,352,895,128,
618,952,047,492,595,880,043,102,833,230,471,844,866,673,337,427,240,723,354,
552,142,468,031,121,638,741,997,886,188,053,154,136,434,856,489,844,230,075,
188,512,406,590,435,334,622,411,048,042,423,150,883,504,828,190,612,247,631,
899,945,316,789,142,835,615,002,006,917,142,783,851,459,362,870,557,388,898,
981,266,173,863,715,449,018,142,887,415,372,810,186,574,168,340,074,757,486,
306,840,336,756,580,129,112,761,665,098,135,955,449,950,189,584,523,662,134,
870,496,281,224,356,746,651,785,815,527,316,221,431,969,085,411,043,219,605,
262,862,543,804,712,041,524,159,194,926,907,680,574,312,341,246,284,965,107,
700,362,384,959,171,543,107,501,461,998,457,562,304,822,538,799,089,965,916,
540,551,481,066,333,698,000,237,218,177,377,453,398,321,750,862,014,396,115,
418,976,730,470,764,173,261,899,155,729,086,922,171,021,506,492,120,611,642,
266,094,773,830,926,451,237,608,840,583,512,332,670,460,357,532,494,398,654,
948,264,796,769,960,306,900,000,056,918,232,536,001,007,729,751,069,767,110,
658,134,034,470,934,391,272,574,365,341,877,256,823,808,339,025,649,496,232,
868,428,554,136,064,755,430,460,455,930,519,607,907,563,335,115,289,324,092,
452,657,581,112,700,253,715,676,370,219,134,889,722,155,705,893,013,370,277,
094,817,604,273,283,392,649,170,453,519,441,712,269,993,617,724,537,008,248,
008,218,953,196,087,327,340,419,570,759,103,410,512,350,225,417,437,485,358,
768,160,617,987,541,288,446,082,156,461,031,834,064,632,962,617,589,394,053,
018,772,117,188,872,982,212,278,744,205,794,671,400,532,169,694,877,674,558,
727,208,090,613,993,196,098,361,126,197,315,731,885,236,932,364,835,914,626,
362,545,298,341,511,579,900,082,578,939,232,615,412,999,584,464,705,681,385,
162,472,997,967,836,494,253,265,843,281,600,043,244,836,371,041,369,278,568,
819,611,687,160,332,069,765,574,159,293,185,061,631,605,013,147,558,507,573,
476,938,790,284,121,191,407,924,126,708,454,637,332,882,960,248,964,525,679,
604,502,936,253,867,581,739,565,107,443,166,275,138,680,728,174,941,715,671,
259,160,285,083,117,429,108,202,935,854,206,101,868,382,127,288,018,196,008,
419,788,206,816,866,891,099,582,846,341,648,508,171,681,519,487,910,838,317,
760,541,644,665,036,823,605,914,691,063,544,521,111,275,683,181,734,188,753,
808,667,374,981,897,315,242,784,901,951,200,261,349,388,378,529,930,488,918,
979,066,272,251,946,691,697,735,584,329,770,864,128,139,482,433,185,663,393,
946,827,303,261,015,765,123,908,068,672,519,586,908,145,841,330,891,761,786,
632,887,359,402,489,505,107,734,419,957,675,695,135,927,424,152,163,302,370,
719,712,491,825,911,085,117,197,796,018,232,113,185,722,779,541,507,251,141,
127,286,414,767,779,515,573,285,142,290,103,104,076,449,200,451,807,712,901,
620,896,438,959,189,274,899,368,641,455,834,898,349,163,222,038,355,020,440,
158,150,918,546,934,620,570,115,403,920,916,486,146,631,875,860,014,511,336,
069,686,097,276,769,586,995,413,133,635,395,997,555,888,315,258,414,492,978,
404,633,365,254,717,518,263,771,159,934,960,514,600,697,679,508,271,005,878,
692,577,906,818,183,185,114,192,273,563,817,812,141,230,374,994,797,147,940,
474,126,396,093,459,059,648,342,646,791,859,490,606,403,495,242,235,424,207,
455,760,025,394,114,784,007,610,836,993,240,634,149,019,093,256,924,329,349,
651,061,086,924,005,584,645,121,037,934,525,218,862,913,586,183,778,382,623,
831,409,859,589,192,152,111,911,492,437,504,616,315,017,237,007,453,040,020,
010,574,362,114,624,189,472,700,306,026,380,780,064,615,795,351,963,627,545,
051,587,943,290,722,977,803,801,029,242,599,479,143,045,745,363,975,041,048,
254,172,296,222,309,782,106,166,202,564,006,133,661,717,720,343,287,401,949,
988,277,667,340,330,224,060,840,869,239,955,554,410,830,256,559,501,529,630,
246,538,591,144,773,463,708,439,280,011,027,329,175,384,225,483,482,755,389,
607,722,096,545,966,820,849,689,163,577,628,520,461,754,335,443,334,029,704,
586,314,512,637,240,245,649,403,095,664,599,080,045,633,972,158,878,767,418,
466,413,499,958,169,072,633,214,188,295,742,988,812,871,319,183,660,266,947,
721,394,063,848,579,366,024,236,182,531,034,020,692,942,214,137,724,135,348,
327,804,466,415,031,729,910,332,124,988,359,520,167,126,654,458,780,353,923,
247,662,497,934,210,588,026,813,174,668,410,012,645,025,309,682,668,793,912,
749,633,696,841,288,558,548,837,312,365,610,758,546,747,541,508,610,060,730,
489,466,183,157,391,821,760,686,466,126,105,174,380,156,098,603,456,191,350,
027,971,532,238,196,903,135,316,685,516,506,708,015,649,453,212,592,113,987,
673,476,507,907,174,244,651,857,761,348,009,716,440,593,049,295,368,882,594,
571,126,115,312,927,335,348,047,939,748,582,905,384,982,206,366,779,024,484,
372,629,153,288,454,054,333,053,117,679,719,150,291,718,749,258,656,990,847,
179,571,879,911,159,753,889,130,483,897,980,025,336,556,057,869,252,254,650,
129,897,992,872,268,658,216,778,595,365,451,844,127,191,894,444,041,657,979,
224,462,025,214,632,544,570,070,770,915,594,748,085,554,314,124,665,149,968,
598,232,274,589,626,290,706,408,509,296,584,687,614,181,429,637,349,975,908,
275,289,645,063,204,017,584,401,951,783,367,281,829,570,146,958,097,641,613,
700,803,864,070,245,131,102,089,505,624,712,672,040,086,461,294,852,280,588,
275,549,935,616,344,433,100,708,493,428,272,569,207,480,283,315,523,556,786,
606,181,171,368,537,590,412,541,088,413,592,794,142,676,232,277,913,244,324,
091,764,480,247,280,954,948,882,892,329,973,152,436,670,408,154,444,085,731,
374,149,099,497,331,591,466,788,263,477,001,901,953,773,116,977,509,242,801,
699,792,019,980,581,911,980,993,753,784,142,719,687,665,255,109,168,315,378,
352,193,890,114,667,631,679,723,032,983,061,792,347,645,253,974,298,470,646,
811,449,618,026,346,714,091,443,626,927,845,100,204,676,573,789,606,856,914,
009,676,048,752,975,150,376,725,163,186,480,266,044,370,612,062,359,609,487,
110,119,094,952,747,223,304,282,124,195,150,219,318,396,439,381,042,467,372,
256,247,110,915,509,449,747,318,302,406,558,610,595,832,340,924,479,205,492,
138,585,238,221,696,751,790,003,579,465,156,380,164,372,931,584,604,345,183,
208,187,296,498,331,245,216,766,599,409,961,148,502,114,268,153,345,567,432,
845,175,176,713,195,911,731,620,129,844,159,833,738,250,849,179,116,254,569,
335,490,395,783,362,305,445,743,128,968,326,754,665,780,353,777,265,496,796,
456,689,503,955,157,055,328,358,235,022,425,981,808,022,647,835,008,047,730,
493,877,139,569,590,603,183,044,926,010,920,780,013,451,604,361,178,746,280,
909,205,144,356,172,402,304,372,402,416,049,092,594,308,320,220,889,934,860,
635,184,134,310,271,235,601,587,714,996,278,418,023,922,670,604,406,036,633,
966,204,727,630,808,781,109,926,945,907,895,853,527,982,342,453,089,210,752,
214,713,969,178,215,938,468,695,443,129,066,919,890,879,569,973,722,986,999,
585,867,794,027,751,248,022,354,817,904,483,033,896,607,697,019,146,650,027,
268,681,235,809,657,037,724,136,383,462,132,353,998,074,270,958,496,846,748,
647,460,503,442,063,539,094,973,875,277,356,154,011,334,603,933,966,614,943,
226,737,705,208,974,683,260,727,594,926,479,707,803,731,558,869,785,111,356,
747,669,118,115,945,683,338,051,061,588,858,470,764,675,515,470,526,473,880,
430,182,317,293,040,762,900,188,338,605,974,866,343,521,737,753,964,281,659,
070,857,766,225,294,868,631,253,148,615,336,204,461,097,606,770,809,303,734,
938,735,154,541,256,263,613,501,755,729,046,617,669,797,669,233,048,776,739,
541,302,146,423,098,842,283,130,947,775,067,468,067,148,878,534,934,648,860,
689,144,337,271,005,669,861,766,960,564,632,256,317,542,651,581,814,056,550,
582,004,161,105,350,528,654,577,015,218,087,083,637,690,050,870,263,116,952,
351,175,167,211,685,929,009,604,445,143,366,147,605,415,799,182,330,429,054,
121,168,827,808,657,391,307,229,429,450,090,899,098,515,444,701,317,946,996,
247,766,235,331,465,708,249,734,162,580,099,458,001,934,406,234,409,940,918,
749,537,348,973,003,550,209,987,629,735,651,634,035,000,426,238,788,851,048,
671,075,785,859,476,195,646,441,152,165,405,999,935,892,307,213,770,732,091,
168,421,420,264,811,820,322,992,600,147,642,662,144,784,792,739,991,069,892,
169,901,756,118,746,578,488,036,947,755,235,727,286,379,808,791,721,139,835,
448,102,771,746,288,710,915,010,445,329,401,891,227,611,455,578,698,133,862,
843,599,914,591,596,683,939,598,931,801,147,074,926,380,893,941,354,905,470,
638,657,705,379,757,239,128,507,813,699,695,344,500,914,709,863,201,993,099,
333,550,790,788,440,190,640,601,900,456,650,526,535,850,205,729,307,041,770,
489,629,890,169,878,472,843,052,993,889,998,102,299,965,428,193,044,948,246,
446,128,033,214,904,106,358,086,938,307,031,720,706,641,259,162,884,859,836,
990,263,763,541,618,198,263,444,899,193,898,217,398,004,751,708,269,456,477,
927,831,750,645,492,810,490,680,545,452,594,067,841,979,482,760,255,381,816,
118,250,628,452,651,621,800,853,029,611,272,585,621,292,299,334,161,705,754,
148,939,652,507,875,442,648,987,133,073,693,012,660,542,241,089,194,099,986,
322,292,053,766,006,498,182,517,532,259,161,873,283,735,380,213,652,265,747,
244,254,680,831,686,026,849,548,850,413,192,945,008,545,028,573,770,035,053,
459,789,112,050,761,234,620,448,259,584,911,220,727,281,698,667,435,259,555,
103,330,458,910,445,143,484,918,658,094,996,561,534,370,962,455,299,779,419,
596,798,032,592,740,367,445,076,371,581,339,642,784,362,265,049,338,669,977,
278,756,019,877,444,477,730,323,736,048,450,267,573,756,919,165,524,434,801,
164,490,872,708,316,470,875,063,434,334,729,355,767,784,158,521,342,307,450,
014,170,930,070,108,486,431,332,165,914,153,566,459,754,749,283,989,207,437,
842,071,077,533,263,060,102,556,880,980,920,931,820,731,588,284,727,321,561,
383,655,590,407,967,740,354,550,573,074,736,390,486,851,555,790,413,122,354,
494,415,243,977,965,160,887,811,057,376,183,169,154,662,679,207,412,540,352,
545,321,719,125,559,294,529,249,963,689,325,178,116,580,362,978,674,322,089,
398,639,127,256,026,564,968,679,066,680,293,497,912,583,346,488,686,674,887,
212,577,820,518,111,898,139,939,366,506,005,617,345,767,523,116,437,280,684,
408,358,179,085,222,654,784,436,498,702,804,083,949,116,315,040,378,184,541,
139,652,258,855,363,553,055,972,002,833,710,710,856,835,865,464,376,358,422,
036,461,419,412,127,451,658,755,335,871,073,611,496,910,492,913,727,517,141,
139,798,515,113,855,851,313,075,602,355,627,307,385,243,954,571,370,546,956,
778,204,783,556,458,542,567,357,851,028,757,017,972,265,271,077,926,802,050,
376,609,330,928,830,953,775,324,032,838,399,476,958,157,455,261,350,933,304,
008,510,681,026,601,314,656,617,461,009,216,726,425,840,433,256,871,978,149,
185,461,256,561,788,566,486,658,432,588,818,176,699,936,130,264,630,713,916,
037,891,314,741,068,739,307,298,492,508,915,838,281,673,043,997,656,816,588,
302,713,810,880,727,377,888,719,216,536,010,207,829,659,361,416,738,552,567,
902,726,453,807,575,951,173,508,559,072,056,382,749,278,100,985,975,162,000,
847,415,032,046,030,269,276,374,762,895,530,974,787,191,478,925,308,222,513,
349,517,351,797,854,951,655,255,499,702,863,703,536,004,484,138,030,851,151,
439,263,872,447,873,548,307,365,239,182,668,123,935,883,432,628,751,633,956,
788,898,344,943,564,390,236,938,654,092,096,908,384,014,911,719,264,299,225,
238,868,677,729,534,414,680,264,642,088,691,258,415,171,538,911,221,704,704,
291,685,481,343,543,446,308,703,221,033,020,479,855,636,230,703,527,247,564,
295,956,645,250,823,318,701,098,866,518,492,724,420,499,137,359,930,782,850,
691,381,596,594,379,809,592,095,166,781,229,326,733,864,308,236,083,203,188,
621,430,123,686,675,834,092,014,307,529,183,806,821,048,121,186,306,969,718,
370,507,756,516,404,041,660,997,029,091,908,604,297,925,536,332,067,329,930,
023,583,874,358,133,786,498,343,534,755,703,256,046,797,819,477,087,493,385,
894,510,926,048,249,991,181,392,808,269,689,472,713,387,192,174,008,292,472,
071,910,555,190,161,192,628,063,226,492,715,736,229,024,029,231,619,238,199,
314,988,418,080,279,155,410,901,703,223,152,582,378,624,931,288,435,777,774,
424,121,759,201,183,023,437,071,144,208,957,656,610,745,867,531,368,106,418,
309,570,648,591,344,460,598,385,725,114,202,232,655,145,657,030,277,053,672,
728,883,300,448,853,417,884,200,260,149,829,128,771,030,588,569,196,380,367,
493,446,601,325,715,282,372,499,920,925,491,521,864,225,621,824,009,700,974,
485,021,320,927,701,774,625,256,799,578,534,272,147,512,711,273,289,655,589,
155,652,735,743,421,779,764,134,866,774,409,169,124,652,990,622,747,879,251,
078,974,482,258,189,484,840,120,545,890,024,880,719,687,436,942,089,420,747,
753,785,272,848,553,073,795,051,220,370,073,610,958,285,110,866,225,027,580,
391,589,548,127,544,719,680,255,807,730,933,030,528,861,974,192,006,866,263,
913,016,665,058,306,791,874,467,400,226,009,549,856,686,630,755,343,427,036,
410,599,184,951,528,109,515,821,576,677,076,170,210,196,432,038,915,177,241,
112,235,127,399,149,136,819,989,534,054,537,819,976,820,329,553,545,819,956,
346,586,997,470,054,901,737,136,222,534,567,421,038,640,943,700,739,583,702,
285,013,362,096,336,950,428,876,567,369,088,384,487,792,812,758,429,995,562,
402,434,198,519,047,452,239,419,349,177,668,417,601,732,851,206,165,683,744,
623,280,757,101,736,506,326,342,280,015,425,296,219,406,044,510,904,475,322,
271,184,171,641,699,931,374,764,869,173,242,668,102,465,848,269,904,682,353,
564,134,406,419,051,713,453,401,079,241,239,221,069,545,362,486,173,593,411,
629,435,118,480,188,734,716,613,666,387,326,301,938,747,245,391,073,783,043,
873,186,981,073,707,745,427,017,170,658,199,007,799,983,756,529,801,393,052,
071,660,818,994,473,843,809,805,024,381,137,797,917,236,119,955,518,176,039,
754,718,786,550,205,773,993,638,217,456,483,990,042,187,295,406,969,123,557,
477,051,598,569,065,192,869,498,068,829,575,091,770,237,442,918,975,891,787,
817,219,919,015,706,494,862,480,198,288,388,834,326,637,978,502,606,959,199,
641,664,514,365,136,346,794,477,209,901,181,910,554,650,862,078,630,873,683,
196,936,113,028,444,390,255,343,459,172,266,816,060,075,656,032,752,977,325,
771,967,282,969,276,032,557,286,794,699,684,570,314,814,819,056,258,976,959,
422,252,636,415,801,326,188,005,626,802,568,381,314,790,494,190,499,613,322,
441,388,498,153,057,008,612,071,389,716,341,294,830,659,076,417,489,220,331,
626,192,946,593,848,962,365,506,631,950,996,318,420,234,656,835,572,106,122,
163,346,753,306,685,714,064,164,329,874,431,476,671,868,802,823,064,222,321,
527,023,795,180,549,599,408,055,602,388,864,142,433,629,682,733,707,005,885,
464,853,980,322,248,272,438,522,253,960,350,804,201,103,923,304,892,742,036,
055,687,114,809,090,797,520,680,883,349,099,994,611,975,425,082,107,286,112,
741,517,847,872,442,655,150,596,512,571,733,439,118,072,803,725,667,448,129,
050,987,391,475,288,939,604,778,253,140,001,359,033,109,378,084,104,580,900,
724,196,497,784,544,596,576,628,173,162,519,211,656,174,145,300,732,528,255,
075,020,283,845,389,061,001,869,469,966,503,075,351,939,367,915,087,452,600,
865,971,733,295,214,242,842,013,329,011,696,005,087,726,136,799,011,102,808,
567,143,508,908,608,071,172,261,759,119,022,353,604,091,178,758,077,948,939,
748,564,710,682,274,790,584,697,293,060,721,257,174,180,159,973,549,063,090,
843,062,621,880,437,386,972,696,984,595,721,788,576,830,888,393,898,062,792,
084,161,158,133,210,949,850,368,821,968,376,689,347,796,808,110,874,231,658,
554,969,882,159,882,822,444,685,369,228,238,366,092,858,692,103,067,773,012,
785,950,194,995,092,955,466,190,550,331,303,326,941,195,635,993,832,862,216,
107,864,760,771,215,762,958,067,486,958,482,349,779,276,975,381,631,802,553,
898,849,962,382,831,095,108,851,126,998,902,373,200,434,519,950,910,453,513,
904,297,671,950,048,439,587,351,947,086,989,332,087,650,559,347,026,372,530,
261,438,789,015,973,406,867,180,345,630,117,833,257,944,889,722,283,226,240,
415,294,637,947,556,058,272,555,555,760,194,941,857,176,217,562,293,201,976,
955,496,353,615,274,467,791,532,878,508,761,729,544,780,324,827,185,163,442,
454,517,292,479,293,295,915,168,239,132,877,331,206,145,807,802,848,608,357,
531,730,810,211,845,429,442,381,098,056,182,815,521,293,368,419,363,471,341,
166,186,244,097,033,203,095,089,218,991,807,200,338,042,579,395,318,674,631,
498,282,461,054,944,019,660,642,441,647,179,349,397,416,096,391,877,993,767,
960,853,052,243,578,362,392,183,285,925,084,071,790,824,062,535,302,580,641,
815,721,112,486,662,282,490,151,035,948,921,962,200,288,706,257,009,218,463,
572,049,557,440,422,589,644,899,956,630,396,534,733,735,098,999,340,533,549,
193,673,631,887,749,138,101,650,078,024,838,420,489,928,804,900,633,701,247,
275,390,664,277,225,339,581,366,504,480,606,043,967,896,127,699,754,321,390,
454,177,480,859,352,245,581,237,090,785,812,921,934,964,760,289,995,380,507,
585,138,157,969,551,127,406,964,528,113,678,491,233,385,778,814,647,424,575,
808,511,396,499,818,468,244,539,139,662,066,056,960,614,280,589,009,305,488,
613,443,626,012,009,395,939,436,240,289,386,971,249,970,918,597,418,784,568,
143,832,443,773,705,857,623,784,724,903,129,615,721,116,171,451,826,892,419,
634,962,355,096,324,910,102,541,995,711,051,675,282,128,775,683,410,466,244,
132,639,780,079,773,364,107,788,297,875,547,260,620,107,930,686,054,257,357,
309,480,498,650,691,439,783,883,045,802,464,508,868,313,172,230,348,187,588,
946,684,086,881,964,225,930,197,625,635,065,852,702,093,950,273,109,584,325,
952,832,126,222,168,218,609,911,173,107,275,270,810,667,408,261,757,648,716,
045,992,092,281,080,456,759,260,777,650,046,727,482,165,166,755,661,202,933,
650,772,546,009,436,300,576,972,438,362,701,491,275,676,679,858,078,753,703,
286,130,579,703,056,262,193,352,297,196,743,046,680,867,569,074,251,595,478,
245,276,404,583,688,807,898,451,373,091,549,237,933,430,839,515,632,526,520,
153,801,330,827,429,974,276,992,174,877,059,100,122,708,629,884,918,982,175,
288,617,675,014,645,763,822,016,747,552,185,903,902,214,682,597,597,588,561,
195,597,679,439,774,721,506,627,277,298,203,673,351,884,779,373,707,501,038,
681,621,890,595,834,460,518,796,896,279,162,356,960,033,038,247,787,062,811,
560,839,588,725,589,815,708,960,231,145,539,161,883,400,198,145,874,415,134,
107,857,896,015,429,681,095,265,227,764,545,742,642,609,549,161,781,451,417,
432,767,347,144,947,366,712,380,322,327,006,955,333,023,415,089,577,946,000,
612,406,113,081,572,859,579,853,322,989,507,518,652,229,180,492,441,332,377,
446,592,206,994,356,995,511,722,291,643,417,933,978,463,734,759,508,865,650,
234,235,319,062,361,647,739,346,636,266,907,383,635,333,772,439,805,824,475,
939,227,135,802,431,804,485,716,408,848,422,711,885,317,165,286,821,851,003,
628,206,741,895,169,375,653,435,286,698,725,542,007,982,223,247,593,945,219,
502,044,692,269,939,536,475,462,661,150,674,560,135,205,609,082,867,096,383,
582,468,584,292,559,797,994,777,296,200,676,647,377,125,773,817,323,596,215,
932,233,332,092,371,948,728,335,347,925,303,626,706,442,153,971,916,216,367,
910,195,724,197,783,269,281,272,062,570,072,692,700,324,361,584,727,940,267,
210,565,505,892,452,416,825,865,241,954,405,140,179,621,068,241,102,048,564,
424,895,153,695,390,351,350,330,873,605,847,034,622,629,511,245,414,189,581,
961,469,168,930,490,963,692,269,988,350,850,834,122,620,004,886,603,800,591,
930,747,511,128,579,275,424,030,451,955,756,058,521,844,178,360,537,115,115,
388,026,626,046,625,798,491,119,700,633,833,554,801,592,724,494,603,641,583,
585,653,560,214,638,689,075,156,435,472,849,123,759,130,274,190,830,862,357,
380,910,375,243,153,022,652,364,162,119,779,014,408,657,500,552,263,587,967,
738,728,594,791,320,688,767,402,189,532,012,604,244,091,053,273,962,594,546,
781,166,774,463,677,108,087,201,032,411,234,688,384,768,985,178,560,294,395,
213,217,740,414,918,626,509,555,462,272,662,274,916,738,096,817,455,078,591,
716,059,847,998,598,021,613,877,647,427,391,604,143,444,311,221,086,867,462,
259,729,687,707,136,070,547,273,551,840,012,217,094,776,007,357,752,761,308,
812,939,115,591,386,795,915,672,563,929,498,292,026,926,919,442,970,663,489,
025,788,911,384,274,586,306,735,913,064,855,092,341,477,369,341,657,539,697,
957,998,762,723,806,615,344,704,845,224,322,575,364,441,801,717,574,981,783,
680,636,991,525,861,062,079,766,065,893,112,018,965,762,646,824,441,625,207,
382,132,187,547,683,193,879,300,961,676,977,322,823,941,542,147,553,746,761,
338,102,018,660,074,915,949,582,989,126,217,450,918,118,868,473,927,431,805,
640,472,436,561,756,138,097,041,448,235,150,923,682,851,533,188,653,700,615,
078,579,836,983,057,124,746,759,202,110,586,092,197,347,868,907,977,737,824,
083,692,129,136,243,757,187,785,789,557,689,206,074,279,764,956,794,839,681,
307,103,630,960,348,128,890,233,479,202,840,389,463,044,590,833,042,114,730,
912,592,847,433,209,443,630,527,026,866,922,686,536,358,203,573,932,473,553,
919,113,229,491,805,670,074,252,891,257,082,330,479,160,388,667,384,919,441,
091,588,187,019,913,020,664,739,793,210,783,981,382,436,953,539,553,019,972,
527,326,828,648,803,841,610,006,555,240,534,218,655,658,376,703,855,576,460,
771,372,342,310,695,163,293,411,383,724,143,669,122,137,628,358,451,668,653,
528,252,177,168,046,977,869,704,478,383,715,076,948,464,028,691,356,147,270,
935,469,417,191,708,612,351,037,339,350,372,428,901,736,051,118,825,501,215,
103,962,314,706,359,269,520,056,782,627,775,793,306,832,689,264,612,076,847,
342,077,363,443,323,567,666,189,659,244,532,988,275,470,350,463,843,489,208,
316,500,915,873,611,358,019,567,140,796,129,776,521,185,920,978,644,673,097,
835,341,140,751,459,510,570,624,781,329,714,499,592,534,581,099,237,242,332,
140,124,451,955,489,108,369,656,639,487,284,225,048,494,616,859,933,465,259,
173,464,528,875,071,960,363,372,902,828,162,125,585,186,617,634,817,620,670,
532,534,041,504,035,974,754,103,332,756,802,627,810,030,166,458,309,400,555,
402,691,571,924,442,308,081,168,957,663,439,315,130,285,627,981,560,591,674,
695,230,018,091,199,220,999,868,358,727,248,427,526,253,499,035,169,499,597,
323,234,187,332,765,791,632,729,589,432,319,972,393,559,059,580,900,297,935,
658,113,671,713,125,523,536,899,449,879,864,233,195,220,287,920,803,588,400,
006,045,928,786,273,856,629,244,452,057,953,368,897,088,481,488,772,753,174,
864,665,604,875,107,512,987,403,405,393,888,238,509,166,492,363,111,436,615,
160,989,679,765,510,355,187,207,584,255,949,003,659,458,730,585,499,318,349,
999,496,214,365,043,446,155,665,375,746,332,905,081,344,860,675,041,405,157,
462,744,562,145,885,215,456,526,979,897,921,267,192,390,729,179,286,477,453,
085,210,210,243,760,262,779,205,158,428,301,548,746,471,984,778,814,016,377,
741,058,486,711,784,683,000,245,095,896,423,933,310,556,873,823,883,572,860,
067,170,916,289,557,385,325,712,888,076,305,618,153,338,413,021,503,554,793,
623,987,487,388,389,453,730,569,991,813,528,471,912,822,043,542,569,192,933,
138,484,803,101,825,010,094,259,026,227,335,162,235,502,885,056,154,290,176,
714,992,881,137,451,391,991,626,573,905,837,847,657,866,907,467,706,735,367,
786,135,042,904,578,324,876,033,051,529,048,735,386,330,768,060,679,994,604,
294,480,809,190,806,940,745,983,617,935,899,647,946,637,669,613,450,029,913,
981,933,873,358,876,852,481,618,480,711,873,879,638,050,308,736,693,889,421,
108,543,211,113,512,663,074,268,478,024,285,806,031,739,316,909,958,572,205,
010,847,045,633,207,010,449,152,160,929,562,374,284,213,765,364,862,787,181,
041,119,892,291,774,264,110,015,879,895,733,428,092,367,052,388,750,900,454,
273,743,466,288,180,480,007,669,282,092,179,916,117,254,166,781,622,586,456,
841,823,359,277,461,790,851,535,985,328,758,279,803,833,464,691,627,652,647,
934,829,807,973,987,424,903,243,730,912,342,147,721,250,888,763,460,503,934,
824,376,796,540,507,021,291,284,153,947,220,883,796,903,903,216,536,755,617,
991,657,314,726,425,197,817,084,528,346,515,639,284,776,307,736,264,543,715,
926,048,137,575,209,298,951,052,851,267,433,856,242,797,192,273,200,002,947,
463,320,548,301,744,362,386,639,778,930,884,215,040,727,874,368,632,290,280,
435,063,182,633,199,300,457,409,165,396,208,937,547,717,893,766,895,114,856,
877,382,446,772,939,104,462,579,727,926,621,629,014,563,219,214,566,572,061,
391,214,048,747,502,208,588,068,457,930,860,810,371,221,742,221,731,959,657,
041,751,786,594,284,296,462,989,789,052,527,194,570,512,894,363,348,782,109,
861,140,821,164,168,628,719,022,964,938,274,819,561,359,388,576,982,091,947,
407,037,367,953,716,493,703,389,779,625,531,366,464,361,575,662,679,450,095,
793,561,721,897,223,015,016,897,469,017,409,871,651,633,253,112,395,108,340,
283,409,355,098,001,268,629,264,619,270,361,291,660,274,725,211,294,618,700,
550,114,032,530,517,941,402,587,560,606,115,637,445,627,467,068,448,168,927,
465,269,494,102,676,801,668,409,228,977,638,154,041,312,085,396,036,494,721,
311,357,774,932,389,092,619,159,696,429,302,770,954,017,074,869,145,762,672,
521,010,450,480,962,570,121,150,764,933,989,716,956,084,173,973,942,602,207,
130,486,412,996,495,147,558,952,994,858,658,103,076,588,026,344,078,159,859,
301,717,104,721,304,505,510,923,323,572,050,637,211,326,895,382,150,765,411,
404,264,356,066,846,513,503,018,170,039,894,789,790,909,295,873,937,736,983,
741,215,610,179,502,418,681,306,664,534,082,757,669,983,058,701,503,692,105,
687,714,141,056,201,016,621,934,629,678,649,712,196,437,602,762,544,234,185,
979,841,304,766,199,233,048,047,439,518,069,678,455,224,059,424,528,944,949,
630,252,378,831,854,435,450,878,589,271,332,389,900,638,706,692,417,798,628,
000,944,310,623,263,049,254,819,038,729,302,708,460,357,924,755,912,994,017,
584,716,406,704,437,010,995,047,869,067,255,556,098,869,300,454,393,267,375,
902,937,478,536,365,299,057,198,252,446,655,137,393,654,633,340,072,490,972,
487,539,124,582,785,109,880,699,356,547,346,886,695,191,186,070,826,106,921,
247,393,434,801,027,089,193,875,085,685,360,391,029,144,869,696,201,217,435,
711,112,220,933,124,101,532,018,193,259,322,530,540,140,256,863,194,171,501,
018,857,854,374,892,879,835,293,601,094,356,300,022,148,647,608,841,250,193,
131,648,856,280,843,370,637,933,876,519,932,229,429,253,939,697,100,003,876,
232,720,730,980,488,995,977,622,527,326,403,034,846,746,841,622,133,079,828,
362,169,757,779,371,420,152,951,149,509,801,966,343,450,708,715,134,984,132,
764,602,669,411,071,792,554,815,655,449,636,927,845,527,120,772,809,997,697,
228,909,242,350,889,176,823,162,525,957,872,507,173,380,236,006,653,667,317,
918,415,830,486,193,077,734,566,888,788,909,551,995,962,022,461,710,087,977,
475,721,178,221,053,864,652,464,888,034,497,554,086,988,640,037,622,064,876,
870,880,867,856,156,116,778,504,938,388,771,773,414,237,401,476,374,938,781,
955,540,052,015,968,414,486,704,814,153,609,358,640,807,915,654,843,255,047,
775,537,563,951,837,361,463,344,586,767,857,003,760,295,407,973,762,254,327,
543,245,735,614,807,380,978,749,854,057,731,903,980,266,736,680,111,423,679,
613,386,626,976,822,664,085,797,853,163,379,848,333,039,570,611,773,348,959,
186,235,839,983,835,286,569,380,904,506,597,360,740,258,196,695,101,910,030,
349,357,072,826,607,496,987,806,694,055,963,286,158,073,925,809,628,910,718,
708,052,120,297,495,729,688,735,116,043,226,799,123,474,372,537,706,106,976,
023,985,932,180,342,071,520,660,120,730,719,338,436,230,569,370,332,371,625,
109,434,762,386,021,030,340,307,974,796,431,611,711,994,731,848,383,190,570,
517,212,379,254,965,419,836,233,947,725,532,274,311,419,891,125,673,035,714,
664,099,704,682,975,966,119,242,485,226,867,936,061,360,502,263,022,925,153,
919,257,012,069,645,135,623,227,336,270,424,396,463,655,584,465,534,963,921,
708,044,725,028,701,218,962,614,778,228,512,649,948,064,292,715,861,494,398,
395,469,266,371,772,094,411,267,821,518,494,264,052,812,367,876,754,398,501,
070,543,146,705,476,994,466,036,211,743,210,676,382,493,618,616,574,505,177,
324,766,797,434,024,983,719,455,261,838,196,942,632,669,901,657,535,285,158,
909,242,594,017,506,248,824,887,152,402,447,142,672,065,687,304,359,661,883,
630,356,752,830,212,801,824,645,233,901,146,846,009,768,592,463,833,715,725,
383,846,358,208,704,826,510,518,572,127,966,548,553,240,101,009,447,419,366,
430,242,481,414,154,688,692,908,517,075,790,806,380,693,180,432,235,806,657,
763,750,351,136,018,827,603,618,549,635,368,292,116,754,870,011,576,630,781,
600,213,885,727,729,179,637,398,522,825,063,211,716,290,480,368,905,913,765,
851,702,847,730,906,210,656,406,876,962,037,535,543,209,522,587,600,908,228,
780,452,923,024,992,648,276,718,458,575,821,532,912,257,433,989,997,758,240,
346,354,736,853,037,596,853,471,963,619,451,055,708,173,841,708,067,704,506,
874,960,030,247,914,055,631,591,249,261,405,296,117,548,875,978,139,445,228,
054,387,233,304,839,213,785,183,567,316,213,796,653,691,130,379,624,205,262,
167,852,575,474,819,681,034,497,725,329,311,003,176,532,607,036,984,855,179,
294,234,706,072,704,824,454,046,430,137,710,746,545,058,618,725,109,625,702,
835,051,276,193,547,391,435,571,286,444,624,166,974,311,587,738,266,983,018,
474,036,906,427,590,009,301,081,093,173,221,286,965,250,517,486,423,777,203,
954,421,596,726,614,245,308,254,257,650,147,564,236,629,900,561,546,310,739,
650,685,829,306,318,166,144,376,368,768,609,834,722,434,011,815,486,729,877,
418,877,800,910,136,534,089,823,093,788,460,577,547,991,735,020,162,546,803,
238,795,611,442,530,308,311,069,467,760,558,236,761,446,920,616,432,425,028,
376,886,994,121,912,621,076,650,847,669,558,568,369,063,410,210,298,516,760,
362,704,526,421,583,468,961,749,046,521,822,246,678,993,921,991,704,041,576,
790,486,870,285,623,255,888,452,842,170,307,797,680,209,954,086,304,631,685,
830,798,491,999,232,339,831,826,747,900,401,731,025,639,431,904,623,119,173,
213,913,307,555,502,543,169,822,352,582,036,963,776,109,076,373,213,180,065,
429,398,416,779,635,410,248,600,436,650,582,515,368,537,315,810,830,306,323,
612,416,935,710,688,741,658,719,198,997,194,809,800,909,038,450,647,899,632,
106,860,934,959,990,213,772,795,237,962,415,079,018,141,298,167,911,479,155,
811,889,819,369,923,284,096,826,028,360,359,650,949,510,171,932,654,540,152,
989,900,976,493,671,761,413,962,221,691,923,958,791,101,754,416,443,184,189,
432,946,959,213,038,014,623,578,326,519,165,063,259,376,840,591,091,382,977,
868,377,601,134,195,141,974,616,280,392,448,251,673,641,346,673,936,328,830,
516,035,083,389,116,822,359,514,215,602,565,994,517,005,856,066,599,165,899,
240,807,412,174,242,008,836,569,464,898,593,753,234,863,324,638,329,681,518,
478,406,200,718,490,937,536,183,410,250,008,146,806,442,315,497,694,115,328,
165,503,557,654,735,764,929,508,382,979,615,122,072,555,433,008,883,805,908,
868,345,543,282,986,643,856,464,127,515,253,838,443,294,160,928,198,806,809,
193,988,811,983,572,696,814,626,848,948,491,592,777,004,193,208,324,251,978,
875,300,471,770,054,984,015,591,200,935,474,706,323,755,282,350,203,276,409,
834,389,377,930,827,417,191,015,372,261,992,741,952,452,676,909,132,763,359,
264,434,552,578,160,512,672,763,964,390,059,178,632,674,736,349,796,795,447,
240,070,759,260,107,742,742,358,150,270,745,743,888,862,230,963,361,717,442,
658,015,554,500,239,246,523,169,290,165,545,014,565,704,831,307,093,313,223,
809,673,823,555,514,405,374,196,615,180,323,846,367,495,441,651,201,251,742,
036,471,906,748,070,845,149,292,688,166,622,121,880,399,503,977,454,285,444,
922,522,957,082,700,471,507,113,810,823,657,130,341,236,461,644,292,210,737,
224,786,855,732,435,227,258,437,825,755,628,994,518,810,886,506,185,252,920,
718,406,626,971,850,286,288,651,404,799,626,434,944,116,254,233,956,163,714,
980,604,045,706,835,211,411,106,938,702,209,114,984,694,756,325,913,449,607,
477,459,675,743,180,695,729,377,760,693,558,860,236,468,084,380,844,045,888,
519,076,060,626,818,429,229,379,960,715,549,707,019,203,821,938,157,989,524,
155,742,003,092,056,002,015,494,390,553,292,213,560,345,633,700,694,301,012,
428,405,351,409,077,218,389,859,216,570,480,114,112,863,655,788,399,332,011,
981,486,993,629,316,544,852,205,889,341,906,528,661,859,996,349,462,173,259,
551,913,475,932,722,853,979,917,604,785,311,017,275,804,276,403,998,480,109,
593,843,923,011,789,983,234,975,344,522,758,482,013,751,641,214,939,032,431,
510,640,288,478,181,910,355,743,916,573,935,820,862,221,582,472,100,915,333,
550,220,588,158,552,554,022,628,482,062,048,181,725,197,363,808,130,931,472,
523,765,532,129,206,053,164,808,989,284,630,742,218,829,371,328,982,658,780,
619,392,632,746,057,377,206,207,524,505,833,602,168,069,008,239,867,468,924,
553,158,942,094,807,941,202,575,489,974,547,879,222,723,851,543,168,850,950,
818,351,647,271,552,423,204,012,992,812,914,100,280,328,196,578,745,353,645,
914,140,740,109,511,333,614,153,666,747,499,916,615,413,049,362,328,110,515,
848,669,409,744,743,539,666,783,080,674,249,976,969,697,066,840,767,997,223,
398,214,961,072,005,291,867,109,538,005,953,202,138,934,309,839,455,813,109,
107,865,912,587,101,439,645,953,917,901,197,319,652,264,897,435,008,713,857,
005,377,144,981,700,055,208,770,648,645,548,501,915,207,142,151,034,889,026,
036,580,043,304,904,016,790,229,759,974,241,088,442,752,661,476,754,406,498,
733,855,382,326,746,447,312,714,635,366,065,529,714,119,975,838,494,661,298,
837,003,816,082,840,438,823,054,248,314,013,990,724,126,781,462,294,712,005,
369,552,104,812,566,059,401,525,981,191,093,613,648,927,684,146,085,616,323,
841,166,534,937,996,105,606,471,925,339,961,575,307,223,131,554,983,948,393,
010,518,549,930,131,743,712,645,422,071,059,060,748,571,011,984,863,306,946,
062,423,067,259,220,876,439,334,816,320,208,757,294,894,031,771,487,698,754,
123,464,782,172,975,467,689,880,443,189,318,162,604,633,626,588,288,549,863,
830,553,372,031,145,444,674,835,033,940,382,881,577,378,558,347,246,695,603,
538,185,699,959,879,901,359,292,946,842,817,158,388,156,592,669,705,141,747,
848,117,500,746,818,132,264,600,488,442,921,818,597,034,615,127,728,327,244,
264,036,398,336,716,701,148,029,387,696,559,979,182,230,844,896,477,429,256,
678,767,492,956,634,244,687,275,178,362,741,399,109,298,389,617,670,058,095,
722,331,656,993,036,812,708,282,096,692,649,313,432,272,735,378,095,730,114,
158,465,347,215,288,888,461,278,426,122,809,274,986,210,049,572,671,578,695,
641,720,843,269,443,467,803,587,511,378,289,266,352,361,875,288,753,980,557,
975,162,318,918,702,950,380,705,718,340,852,942,738,956,086,731,991,593,939,
057,196,612,417,970,110,457,931,533,151,534,935,099,129,081,107,433,919,851,
709,664,665,849,246,028,906,207,524,927,617,144,626,356,468,429,591,434,172,
411,401,934,255,984,833,942,390,190,314,792,164,449,495,092,081,015,284,948,
551,967,809,288,241,957,427,127,528,031,633,198,953,754,656,566,411,596,243,
433,713,138,232,661,211,002,140,651,005,521,703,743,905,736,145,987,954,393,
616,067,989,664,829,081,456,242,534,765,118,753,250,933,055,381,722,998,128,
132,684,351,886,214,839,712,062,191,323,760,561,648,198,064,517,219,894,287,
296,309,870,736,576,925,081,298,788,091,128,913,190,948,270,904,986,324,359,
216,259,190,267,014,369,627,735,887,788,298,831,087,704,948,816,962,967,050,
112,567,368,869,625,215,230,055,887,364,942,835,287,424,168,050,717,420,833,
151,912,213,112,700,327,508,972,252,182,877,301,759,728,218,881,422,953,981,
893,018,439,531,168,888,982,441,845,075,574,718,399,129,643,382,560,973,200,
239,649,638,006,406,242,664,620,796,872,032,805,653,998,893,448,473,729,892,
218,121,201,953,228,248,735,086,405,178,633,594,095,263,238,348,333,100,326,
154,353,765,817,662,811,938,646,296,126,370,842,110,167,346,341,725,814,247,
330,142,183,823,220,858,734,933,868,320,546,361,727,642,487,307,530,369,887,
529,069,916,515,005,078,799,966,294,976,560,049,073,682,797,311,097,675,098,
172,259,753,575,167,995,217,083,228,205,490,089,941,861,992,689,969,569,737,
418,025,101,327,950,987,122,159,832,332,882,353,682,577,088,293,687,225,763,
183,331,819,580,853,345,717,854,921,300,151,706,154,360,317,028,883,773,385,
647,943,364,855,740,679,440,662,270,126,628,222,838,418,867,611,792,713,738,
253,800,436,522,769,514,770,019,609,334,048,793,665,204,715,180,353,327,100,
328,262,114,488,997,965,780,671,816,093,533,586,661,435,412,014,576,365,184,
026,060,423,643,978,230,725,991,997,179,648,911,644,881,915,121,215,150,615,
322,203,303,399,138,874,912,310,303,597,042,008,604,233,091,568,489,658,060,
123,087,818,569,333,831,831,241,202,214,317,049,441,658,354,220,079,817,809,
013,136,860,867,523,074,155,695,056,101,852,588,770,599,437,788,162,175,776,
455,800,632,992,394,034,807,018,994,967,183,678,548,068,996,053,893,581,546,
818,649,459,785,562,152,632,366,274,950,835,364,367,255,681,812,707,235,838,
479,355,854,742,907,627,466,526,810,207,945,436,843,070,269,564,222,012,883,
189,303,623,903,768,243,521,860,551,626,559,756,959,110,065,115,840,579,449,
784,243,153,526,599,869,564,337,654,783,106,956,733,763,672,257,140,466,383,
713,063,659,039,694,114,993,967,499,136,311,237,010,890,937,133,578,688,669,
069,264,745,086,564,485,597,360,704,733,390,239,821,909,438,887,201,168,319,
446,449,585,621,341,629,240,252,496,752,026,431,035,647,052,358,843,401,544,
955,876,714,609,972,460,707,557,099,936,206,491,623,786,262,016,290,780,761,
531,324,522,658,867,417,825,565,296,888,240,299,884,497,768,213,868,784,976,
464,719,485,391,440,070,879,827,871,844,644,815,139,799,201,936,255,093,952,
424,269,647,957,492,306,801,584,925,417,606,706,218,822,144,631,280,196,335,
464,163,290,444,321,042,654,392,549,690,511,877,175,781,128,368,506,524,174,
542,741,310,131,264,404,567,388,917,081,212,042,658,098,700,946,165,246,860,
575,519,492,159,768,460,756,182,949,181,184,350,967,757,622,779,549,698,326,
706,564,724,738,582,785,292,192,886,062,811,182,590,118,804,877,933,546,769,
339,359,873,207,430,821,626,049,475,285,426,964,315,276,782,758,435,210,060,
278,237,446,973,759,326,140,588,433,780,412,749,903,863,089,298,057,309,496,
036,285,093,050,664,831,933,452,827,735,367,017,878,741,257,671,510,060,176,
782,991,595,753,149,436,315,625,908,975,581,613,008,201,534,919,664,395,074,
337,283,012,395,515,167,132,107,401,790,287,279,779,485,396,867,548,349,262,
660,322,086,546,361,613,651,653,940,178,706,502,153,972,485,440,841,990,489,
227,027,365,978,111,421,791,640,952,432,940,038,741,317,840,010,200,099,935,
219,079,695,984,776,460,238,524,657,982,963,682,022,856,271,211,268,526,202,
143,371,202,824,132,352,000,501,294,597,788,109,981,253,772,621,203,379,699,
883,776,236,486,720,817,867,908,854,112,469,984,760,737,831,733,570,095,086,
044,120,109,759,604,515,632,556,716,117,651,817,762,244,997,010,329,350,274,
548,621,785,055,482,707,319,763,743,675,933,798,662,687,019,497,005,096,767,
688,705,163,437,648,173,535,644,976,214,356,173,541,588,784,215,431,870,004,
876,573,951,875,540,314,880,611,188,445,386,050,879,655,998,773,698,207,676,
315,126,412,259,060,278,603,748,179,115,565,313,215,774,994,309,574,322,863,
962,480,263,971,904,649,003,988,028,659,042,011,287,155,010,497,148,181,862,
870,899,244,532,059,969,826,146,682,364,726,871,154,331,637,047,067,540,869,
056,834,293,815,295,022,333,429,880,352,695,564,782,111,006,449,584,218,935,
826,157,318,264,356,675,936,594,455,767,022,278,476,429,546,478,055,136,548,
482,729,626,947,567,525,735,549,979,672,741,014,435,507,449,220,432,895,323,
979,074,695,136,255,039,497,524,246,892,425,216,311,613,164,249,726,764,990,
687,334,612,926,487,880,871,993,502,033,028,391,222,471,253,590,497,442,076,
052,866,282,681,597,557,118,701,583,833,792,958,292,725,545,696,907,059,396,
740,518,723,245,762,562,389,758,882,733,545,823,250,040,460,381,091,373,294,
967,520,052,673,893,529,760,866,748,523,356,532,378,753,760,783,174,976,392,
883,618,940,550,665,468,737,511,936,975,844,319,434,982,661,643,144,607,116,
482,121,347,464,570,379,041,374,813,660,561,203,583,177,912,719,424,661,379,
028,425,932,866,540,547,046,420,023,648,819,958,058,155,489,645,397,224,051,
940,422,911,652,698,491,039,456,425,572,981,598,252,129,572,985,162,850,156,
193,439,496,773,552,419,446,752,306,045,296,122,249,764,349,731,637,550,389,
839,204,563,295,089,177,455,932,723,638,464,613,356,200,568,430,251,033,681,
244,569,381,175,852,578,351,414,332,235,657,012,082,658,015,642,293,440,494,
652,313,994,536,478,049,814,213,623,939,118,975,592,635,328,328,336,826,222,
062,497,412,778,034,705,222,876,244,723,036,313,963,964,135,535,971,553,220,
642,444,683,731,594,860,237,525,788,970,044,775,980,574,900,094,384,297,370,
075,516,871,093,386,537,572,578,212,181,418,291,445,255,565,564,750,452,509,
574,130,082,391,890,263,662,393,517,920,669,403,081,251,032,843,309,507,729,
763,677,914,049,295,632,273,168,652,937,536,332,092,024,860,338,347,340,626,
154,414,483,292,323,435,395,910,832,089,837,841,230,729,677,215,841,427,370,
152,584,479,306,862,243,518,681,447,289,338,751,752,251,497,159,675,671,435,
596,473,617,947,370,320,621,845,485,253,046,946,821,004,304,707,629,009,389,
263,534,613,463,709,123,341,121,062,489,642,610,208,648,446,040,305,741,435,
362,380,813,642,392,478,691,329,496,479,379,742,095,087,440,186,426,016,889,
021,360,217,562,128,347,076,865,532,290,166,290,948,683,015,848,988,801,342,
001,955,529,492,994,456,343,618,144,303,487,167,098,984,707,773,430,354,588,
138,626,124,649,343,003,967,457,734,118,407,664,030,299,937,985,928,623,364,
239,546,680,898,243,929,177,702,619,960,979,473,433,942,242,451,076,380,346,
595,141,051,130,177,199,543,393,256,262,668,212,755,144,535,149,450,220,893,
455,766,071,009,693,565,404,396,946,339,778,852,183,285,072,643,209,109,024,
190,062,331,385,402,454,888,250,673,028,760,317,771,232,653,194,350,476,738,
740,727,724,916,036,055,577,186,569,691,880,785,175,344,102,175,931,671,103,
466,596,467,671,790,753,760,777,973,427,486,761,204,508,876,959,177,984,406,
822,749,234,370,091,937,446,174,186,857,270,894,706,940,074,064,277,673,797,
437,868,385,700,555,413,721,862,802,976,440,046,539,112,646,243,333,357,473,
808,956,497,100,862,796,051,220,167,224,815,912,532,124,955,380,926,951,800,
017,238,427,152,484,378,999,157,100,992,264,483,172,026,030,136,632,291,803,
634,221,888,469,961,932,497,137,009,857,197,729,297,940,167,967,875,656,260,
455,502,522,639,234,565,596,096,134,753,928,657,834,470,088,055,777,467,686,
748,665,513,879,852,121,580,580,964,074,442,943,565,847,053,708,433,546,651,
004,654,062,177,871,338,275,573,459,228,443,124,269,681,419,793,706,012,759,
457,009,067,888,912,866,463,140,208,092,441,337,080,898,976,781,183,310,751,
395,242,510,473,686,299,148,551,171,835,834,390,440,131,979,756,065,927,163,
974,906,584,148,149,487,054,377,386,118,254,494,587,453,099,911,119,289,387,
191,324,602,094,485,098,802,312,162,963,695,628,670,056,911,109,412,772,389,
752,949,500,989,270,410,596,608,467,482,586,058,737,347,713,427,092,357,187,
715,360,384,251,890,740,407,262,766,613,563,177,828,502,680,363,293,002,119,
414,646,271,802,845,120,183,058,442,398,370,159,462,002,477,569,770,028,836,
190,958,955,440,390,169,919,644,638,799,627,869,719,968,503,252,077,503,037,
789,677,498,891,294,930,849,605,182,929,247,083,789,047,190,576,455,818,294,
628,306,002,190,300,825,460,256,828,841,638,682,635,351,210,876,591,100,654,
801,545,072,186,379,139,874,801,056,463,541,688,491,736,516,861,862,413,062,
788,494,060,050,325,686,498,785,852,572,070,824,551,515,147,824,215,974,560,
577,729,015,792,911,833,381,103,575,627,968,482,315,324,226,902,056,906,489,
241,602,602,988,013,929,200,789,766,752,373,407,095,356,699,545,290,394,109,
212,022,644,265,539,320,533,586,098,656,584,919,552,274,665,571,324,539,225,
842,508,917,526,228,904,048,089,800,743,848,016,347,291,519,158,441,992,196,
607,620,454,558,400,626,407,226,663,250,946,350,687,009,057,373,993,619,913,
101,047,873,135,731,148,160,690,036,587,579,683,564,414,967,282,234,925,124,
591,923,146,036,479,224,671,605,608,062,434,074,349,417,710,875,033,340,825,
530,173,589,706,141,699,760,926,950,568,112,542,096,664,270,256,031,025,465,
651,558,969,048,349,369,881,516,521,368,561,107,267,852,723,141,496,735,754,
918,459,971,841,668,472,812,331,942,109,778,721,648,750,396,566,135,248,349,
617,831,341,063,303,097,657,427,521,211,005,025,445,788,831,551,227,257,638,
733,243,516,376,457,801,768,535,699,113,510,238,132,718,730,369,704,014,256,
608,778,991,572,528,190,907,210,930,985,737,756,833,206,978,317,068,738,807,
392,721,671,961,894,244,849,288,168,689,983,392,236,879,199,632,369,953,550,
121,376,167,750,606,845,458,485,614,210,910,472,352,220,087,064,484,983,720,
872,925,085,496,132,799,015,700,050,250,304,372,935,153,936,827,886,543,847,
906,069,137,678,003,902,000,872,169,295,358,776,036,521,578,667,703,463,924,
800,755,271,220,847,214,858,496,307,709,772,171,621,662,926,865,356,843,058,
426,781,250,465,966,127,248,984,506,186,169,915,363,356,059,219,868,275,935,
753,708,864,488,101,036,715,988,907,089,180,846,010,618,793,857,044,871,552,
927,437,503,332,423,825,150,471,942,480,090,529,389,188,020,500,284,368,966,
778,469,927,018,250,760,042,430,019,928,818,419,937,370,921,939,749,917,558,
738,621,198,292,830,829,982,209,506,577,855,402,143,591,493,758,749,373,670,
049,162,684,711,387,708,081,958,960,150,458,366,166,390,263,634,748,360,311,
330,109,779,986,304,476,213,820,154,285,582,335,138,401,296,792,919,538,907,
316,555,044,680,235,660,221,026,744,814,034,510,516,855,349,891,173,969,705,
912,914,438,605,313,711,862,664,075,193,092,144,980,384,119,537,219,127,416,
006,398,021,514,108,501,375,019,634,204,515,200,993,448,516,687,447,063,223,
202,137,634,520,933,210,644,060,353,120,602,891,002,706,345,882,669,498,668,
969,833,943,672,994,429,416,528,934,211,079,465,103,062,181,825,490,219,501,
858,716,956,349,794,321,702,816,044,024,437,509,379,700,153,106,116,273,503,
597,582,828,124,761,889,367,303,779,992,395,260,946,484,427,045,410,942,111,
652,943,548,440,855,623,430,296,220,457,422,115,817,040,669,810,096,819,437,
282,288,541,793,045,111,536,736,863,181,039,029,654,665,121,388,729,207,558,
904,946,918,821,460,292,922,892,348,074,734,416,612,449,764,056,451,775,519,
359,264,283,193,365,235,972,660,640,140,986,416,916,378,307,171,031,845,028,
604,382,976,113,434,993,622,526,625,912,147,692,700,164,035,148,367,619,494,
693,589,666,991,733,507,313,933,447,177,331,772,428,371,037,992,340,353,557,
635,827,294,558,458,260,121,603,132,919,200,375,325,354,570,328,114,724,908,
883,320,339,971,976,455,124,600,989,054,625,084,264,717,532,419,289,437,010,
323,762,611,202,248,130,985,515,188,176,792,607,806,581,261,734,047,864,045,
818,461,759,515,496,204,019,869,516,667,385,638,418,403,715,205,993,231,070,
529,668,375,099,416,605,386,650,685,002,560,101,920,353,701,898,919,080,277,
914,626,337,208,307,326,069,763,620,869,460,284,549,822,280,214,399,438,569,
180,006,229,225,770,249,193,391,968,791,950,298,562,068,170,985,576,294,969,
493,169,612,202,608,837,480,749,067,115,074,797,982,582,242,583,623,954,024,
430,437,154,466,190,259,863,595,366,836,529,174,461,988,119,806,746,897,876,
276,651,482,049,743,059,745,719,846,911,830,129,491,233,167,354,504,145,402,
989,621,071,556,644,711,948,357,920,931,646,341,714,423,876,441,313,881,096,
789,141,862,581,213,899,498,224,618,809,956,936,895,446,737,918,886,936,800,
766,822,884,510,135,706,699,813,798,185,196,145,745,785,555,425,348,567,138,
265,992,906,594,543,398,030,607,432,930,356,183,624,320,791,939,364,615,679,
191,433,740,805,030,056,063,218,433,724,173,553,237,164,194,264,110,808,714,
609,156,485,305,916,048,437,947,721,011,323,554,965,321,365,572,928,696,688,
790,452,124,019,941,116,928,456,624,726,979,406,377,118,194,251,962,787,306,
283,075,811,901,778,751,210,093,975,171,060,659,234,793,324,393,448,056,356,
634,471,257,818,222,544,665,072,364,914,955,153,674,447,650,475,560,821,120,
811,577,461,970,680,279,182,920,942,384,822,269,711,635,094,281,685,663,445,
029,964,582,405,290,229,107,971,475,131,276,877,734,509,139,462,718,069,522,
221,474,604,876,028,595,251,075,648,368,302,463,718,126,184,543,626,426,441,
346,245,175,261,704,574,591,230,149,607,521,530,117,236,706,356,814,300,138,
166,169,909,154,685,061,413,829,453,867,688,394,947,659,637,738,575,531,622,
977,451,201,522,956,163,765,869,831,628,291,953,430,281,182,119,399,062,934,
140,084,964,335,976,444,493,717,910,409,385,973,184,014,371,386,566,424,639,
668,362,625,331,232,032,807,342,887,710,047,711,229,261,442,359,826,769,244,
047,029,865,907,325,017,809,969,443,180,827,568,834,994,208,336,551,989,933,
268,884,465,268,117,077,697,018,588,590,174,759,091,926,095,869,913,696,091,
556,453,081,994,169,792,467,909,420,053,925,667,607,652,755,234,544,032,342,
209,790,098,776,205,072,054,521,259,557,735,720,443,168,140,789,324,235,219,
274,479,271,106,173,549,785,037,859,660,803,699,449,879,682,181,221,314,823,
140,598,801,933,949,143,584,030,876,814,358,164,858,645,056,985,217,641,336,
342,774,884,742,780,938,721,254,580,694,173,467,989,707,121,922,052,903,939,
264,499,988,106,257,364,103,239,386,692,392,454,025,320,943,680,905,894,672,
399,319,568,457,663,474,622,388,320,776,057,723,822,521,204,728,778,324,145,
917,348,141,843,264,102,977,322,555,880,427,002,715,321,340,931,965,463,042,
153,530,021,833,878,526,104,798,024,901,976,027,011,999,657,488,062,773,833,
253,477,309,612,068,056,322,870,734,767,200,040,367,810,889,281,075,992,073,
813,598,647,615,095,991,782,690,718,891,202,615,938,148,216,513,410,073,758,
138,948,928,177,737,053,159,687,331,916,872,139,819,588,604,687,299,774,103,
151,739,842,886,327,072,850,307,761,750,790,351,590,906,922,955,698,707,983,
050,048,917,695,341,613,254,373,954,062,246,370,986,064,670,081,757,077,122,
422,934,866,817,824,435,558,003,757,382,860,869,570,410,734,643,180,413,897,
660,373,515,381,675,988,967,369,455,938,541,921,918,812,145,121,818,938,464,
268,085,355,567,051,644,362,203,123,705,547,162,024,663,446,843,414,246,942,
342,009,913,536,246,095,413,434,208,189,018,806,786,199,563,856,343,440,349,
472,634,130,775,141,684,656,929,147,075,919,071,762,587,297,007,884,217,799,
552,065,954,362,002,738,075,196,484,667,582,165,523,415,906,446,650,567,693,
264,457,667,566,360,123,457,639,730,569,478,871,190,751,942,783,798,160,431,
731,027,075,903,053,035,357,885,493,287,652,393,368,369,062,484,440,562,941,
214,489,441,718,202,776,620,790,701,315,723,745,141,380,063,402,792,900,311,
760,909,012,148,958,553,387,443,099,670,234,990,897,847,570,495,242,023,312,
814,513,427,639,315,801,808,458,710,852,751,741,764,492,568,666,237,504,850,
759,691,689,150,177,486,544,620,836,459,245,495,749,347,862,400,604,612,341,
621,386,620,212,608,008,941,200,007,271,635,242,135,475,879,290,432,954,700,
839,696,869,613,562,652,411,304,014,616,298,947,323,273,967,261,062,110,287,
377,599,966,234,580,339,810,574,251,944,356,641,588,423,678,756,119,818,200,
397,303,366,650,328,522,867,197,406,678,071,380,429,799,769,267,966,390,768,
843,883,171,609,943,529,762,876,268,563,469,766,985,059,852,162,506,515,369,
339,645,532,746,437,941,670,569,208,419,733,223,528,282,759,074,582,033,926,
849,505,475,065,198,110,026,046,907,216,023,396,317,292,540,616,763,672,690,
381,407,140,302,846,998,673,541,918,940,879,229,758,097,482,996,323,393,191,
343,890,916,870,500,874,109,566,775,301,884,429,914,111,920,618,091,586,585,
513,330,873,484,135,194,058,250,914,517,346,259,100,989,384,083,875,414,203,
568,216,852,591,282,489,857,996,316,317,043,264,323,866,757,845,426,034,344,
872,113,924,874,862,361,236,954,458,504,408,106,868,242,959,398,083,315,084,
655,082,596,251,363,056,062,484,285,552,574,312,418,213,405,267,455,616,428,
261,224,081,270,310,666,222,985,204,958,774,036,035,450,359,580,929,780,301,
204,974,621,676,960,518,042,649,827,995,959,222,204,145,674,207,892,933,070,
050,785,785,247,105,674,002,968,986,109,349,548,577,276,511,810,866,197,856,
082,946,578,374,517,400,695,882,213,662,189,854,597,555,466,344,439,548,388,
107,262,521,370,367,252,322,037,420,608,436,281,182,137,012,224,480,840,677,
006,502,964,904,418,647,638,532,233,855,177,378,184,980,645,994,796,696,065,
252,801,068,725,508,505,265,125,744,662,479,784,441,860,556,814,993,751,483,
933,650,689,088,790,586,644,804,791,617,674,058,065,048,740,607,697,152,129,
961,800,514,393,990,940,881,961,275,370,967,694,066,706,546,615,182,451,787,
365,918,397,047,808,810,758,334,961,104,963,929,578,048,795,980,494,072,507,
922,624,125,014,300,142,281,492,719,871,922,466,145,281,661,088,756,911,708,
305,235,814,201,700,052,709,608,177,382,749,339,412,786,946,188,707,410,965,
245,111,530,271,448,037,415,807,450,361,176,118,460,941,924,763,027,613,730,
228,574,349,853,991,579,010,025,419,354,311,675,341,716,772,567,118,313,903,
087,025,207,055,332,117,334,519,864,302,266,980,129,112,667,233,946,905,732,
586,517,603,924,477,397,318,355,212,089,522,270,772,432,339,483,563,177,164,
908,744,467,762,626,639,031,515,567,889,845,198,086,434,048,854,041,837,254,
543,200,103,770,477,938,411,339,303,409,166,979,585,480,509,817,832,385,638,
473,824,655,873,191,436,491,754,957,072,174,591,767,070,764,122,452,235,786,
976,554,080,137,088,668,896,682,996,475,902,831,977,802,861,611,332,147,042,
543,667,541,017,534,319,534,529,603,925,267,178,344,892,778,145,019,744,883,
382,799,917,152,138,031,468,835,830,333,960,477,377,124,412,741,738,235,628,
974,853,338,621,524,622,527,886,943,253,245,130,079,441,613,310,030,835,714,
228,406,689,357,752,437,509,024,556,775,333,228,097,272,556,989,199,911,906,
259,505,256,908,680,596,831,994,900,660,975,416,074,561,764,714,761,506,839,
510,554,020,957,384,587,837,580,479,936,706,308,118,651,213,192,581,877,278,
177,141,435,775,020,192,512,152,944,247,373,603,918,005,001,594,700,210,953,
322,015,956,390,634,932,687,231,391,971,896,805,341,904,320,324,955,117,111,
805,955,689,370,822,440,399,234,807,851,185,109,927,011,644,627,052,497,656,
900,330,252,011,446,380,501,987,769,717,241,036,244,311,020,526,701,975,238,
457,156,650,375,080,314,135,475,372,156,452,919,830,851,682,915,961,851,205,
617,491,142,851,359,204,447,898,704,301,587,354,923,454,553,109,837,369,175,
345,521,289,664,950,390,696,113,961,785,352,813,082,573,481,304,453,804,745,
885,695,298,203,762,591,422,012,464,377,380,057,128,017,391,540,248,013,333,
220,385,334,255,908,672,782,459,759,464,173,261,411,147,458,588,490,673,297,
790,216,246,861,481,602,637,508,161,360,022,869,422,363,471,450,574,027,693,
181,160,537,512,260,926,276,361,673,826,458,008,939,303,642,738,238,160,488,
362,813,168,530,741,032,037,383,242,505,479,999,972,307,480,607,897,962,952,
488,053,024,264,446,628,989,535,225,178,570,627,950,163,335,477,894,586,450,
675,130,067,975,813,015,150,843,669,812,189,692,313,005,105,775,871,577,743,
822,073,253,332,373,973,204,826,031,741,029,275,559,945,985,616,728,761,808,
860,018,016,376,472,282,405,163,340,381,923,892,960,129,298,045,762,930,309,
301,687,129,591,577,137,312,659,826,628,985,945,177,285,627,049,935,354,813,
123,286,570,579,112,769,650,026,866,265,611,535,753,159,240,629,104,348,352,
826,898,175,470,202,080,762,030,124,523,810,517,489,492,326,895,441,930,016,
101,150,908,593,161,929,477,324,042,567,011,858,214,244,354,808,430,010,876,
932,338,464,705,417,092,504,937,712,188,334,580,608,828,155,388,393,215,189,
224,971,088,259,952,258,927,720,360,497,345,403,970,077,275,185,380,006,347,
494,186,441,009,978,877,990,544,621,697,672,621,668,016,437,452,703,867,308,
360,760,738,689,868,411,357,147,988,827,307,148,620,505,698,267,012,097,059,
312,726,924,871,339,629,594,598,501,850,952,647,205,775,868,932,834,184,016,
539,074,945,555,912,346,154,148,315,864,731,715,884,607,649,797,973,759,588,
113,482,950,774,872,865,531,893,666,335,762,140,569,100,895,827,459,803,862,
348,265,184,075,992,677,618,285,555,102,073,839,391,088,815,579,957,183,531,
492,244,259,416,249,645,995,432,276,708,337,470,136,913,735,412,523,832,152,
532,997,754,583,525,899,034,290,390,721,554,244,543,614,616,270,629,307,628,
009,800,751,417,608,429,874,676,934,742,822,417,430,064,244,463,482,111,455,
071,316,636,004,467,424,417,416,468,274,600,971,269,408,626,824,842,839,882,
850,817,094,652,349,505,417,383,055,092,624,024,610,590,747,898,908,807,934,
905,649,421,937,605,919,579,333,096,975,592,743,868,250,462,162,733,017,460,
981,897,587,758,080,982,309,047,474,831,756,207,196,200,773,890,075,666,132,
792,566,012,642,419,707,699,871,987,266,888,147,762,477,951,336,631,291,826,
112,453,747,364,836,748,243,286,966,623,769,014,334,415,157,186,640,475,612,
963,407,346,743,882,234,172,279,629,786,708,657,732,689,577,802,528,554,112,
229,610,682,012,240,206,648,038,567,064,220,795,760,160,492,348,238,733,987,
810,887,395,265,616,025,692,975,655,485,580,132,184,848,619,004,425,955,484,
272,396,871,194,068,891,873,156,462,046,908,831,456,084,712,668,259,874,064,
436,161,206,923,427,103,920,728,208,713,608,063,144,306,682,903,570,036,568,
720,343,026,226,332,573,307,883,226,228,160,551,853,957,068,657,190,584,412,
605,711,412,087,413,823,758,568,008,155,977,982,038,721,275,416,043,490,288,
162,254,388,646,164,328,678,986,843,626,618,358,606,904,564,510,473,172,953,
181,890,196,825,937,796,981,572,826,322,719,933,497,655,915,437,049,780,605,
165,039,469,748,639,365,231,550,367,805,341,118,006,845,263,487,030,091,208,
649,453,075,947,985,387,051,018,870,589,206,742,963,284,076,647,549,232,431,
469,116,399,416,448,582,203,278,098,263,809,694,718,619,524,166,243,032,434,
209,659,817,817,197,569,651,670,543,518,729,663,170,869,554,731,282,328,252,
229,626,544,194,233,986,299,899,805,135,155,451,072,058,710,679,288,535,286,
001,267,886,167,302,871,575,312,991,782,495,836,269,844,956,507,736,951,104,
963,559,596,436,545,966,016,634,611,765,801,356,785,974,504,066,506,341,534,
215,292,260,815,437,878,489,921,643,216,877,804,516,320,891,640,194,171,120,
885,199,095,681,317,937,856,435,905,416,000,073,512,864,159,557,261,713,601,
743,627,383,896,559,593,773,174,730,631,947,869,020,222,329,855,453,385,968,
675,365,450,343,157,672,009,063,002,973,391,612,424,651,113,094,868,902,649,
669,258,061,240,490,307,447,375,771,483,292,771,289,561,070,838,408,384,704,
153,374,405,604,574,696,280,913,156,982,570,819,312,033,503,362,026,303,001,
493,157,329,526,052,193,929,240,788,508,175,484,587,659,741,453,753,642,680,
673,493,726,320,419,338,080,624,539,742,883,066,760,557,867,203,581,729,546,
054,958,166,123,067,151,427,324,374,965,169,319,318,128,110,637,468,107,137,
150,346,600,796,633,872,295,452,324,867,825,009,809,417,430,424,897,422,613,
831,646,667,906,822,530,386,102,898,818,435,666,423,306,403,480,272,277,044,
001,112,304,619,869,175,792,855,028,707,539,744,371,334,402,573,722,456,523,
333,324,823,768,808,583,373,497,960,059,168,428,955,980,108,874,133,245,858,
289,711,299,259,447,837,087,705,409,579,487,799,874,130,576,228,173,420,656,
357,726,876,217,967,782,006,459,307,966,599,797,215,781,496,161,947,564,783,
406,042,979,947,615,039,529,615,983,926,614,510,182,138,031,064,395,821,981,
711,810,945,073,831,340,256,639,714,656,623,242,592,902,100,577,399,814,954,
125,235,006,939,003,585,517,581,800,105,108,192,179,822,070,578,150,416,693,
264,508,065,740,701,272,339,134,097,937,951,191,267,843,125,313,665,289,264,
820,008,081,362,100,042,851,545,491,016,507,094,522,086,267,558,977,772,181,
590,099,614,652,287,775,339,797,885,516,617,839,848,399,149,395,835,617,497,
969,489,508,487,917,666,346,804,072,872,377,581,831,557,914,182,058,953,127,
329,702,949,802,863,811,119,812,638,474,938,328,856,354,091,336,692,632,661,
639,014,560,626,448,283,080,463,169,223,444,515,500,092,280,651,624,590,669,
039,819,915,668,653,726,438,189,865,101,156,013,869,777,780,822,745,693,827,
028,678,660,897,609,068,357,875,405,802,809,979,643,668,762,970,630,568,378,
438,454,136,140,969,697,861,513,903,009,303,483,250,717,679,748,788,424,426,
794,723,139,919,055,887,016,321,881,244,316,599,240,710,988,004,083,124,205,
363,673,012,567,514,900,369,033,066,820,778,630,100,904,389,718,558,059,936,
981,003,272,920,472,855,359,482,757,815,970,243,167,769,168,139,159,997,591,
088,150,359,601,705,937,433,075,539,855,786,242,098,162,187,604,882,903,546,
452,117,396,722,722,664,871,352,496,981,101,942,818,530,423,207,446,225,687,
066,365,954,862,063,581,814,632,588,607,459,269,212,228,873,427,591,446,283,
373,604,190,163,080,933,989,909,443,830,332,108,985,080,906,820,400,497,747,
364,586,415,445,302,918,282,477,915,676,642,505,502,145,599,846,803,958,501,
374,183,921,837,227,718,122,275,248,473,430,475,788,005,993,775,921,712,775,
630,689,065,881,377,613,591,039,213,149,036,103,241,299,402,054,487,803,396,
788,013,754,088,394,128,870,431,985,848,597,885,552,541,324,744,619,862,078,
129,674,366,437,314,902,908,891,948,059,256,895,855,641,970,304,846,319,110,
432,338,656,094,117,666,671,775,825,520,883,143,203,068,383,156,260,650,547,
680,597,648,453,709,448,005,370,652,052,510,232,300,255,173,423,015,139,861,
176,906,850,922,311,665,137,641,256,030,167,097,880,662,831,153,432,758,703,
465,006,266,526,664,112,417,584,316,075,925,553,876,282,490,672,677,837,070,
561,523,502,159,758,102,078,588,198,146,781,633,173,522,702,923,780,570,000,
915,365,677,346,749,942,208,116,288,657,843,138,015,292,266,935,629,893,404,
423,791,347,214,814,628,001,425,008,274,738,059,468,655,009,274,022,008,570,
698,653,908,013,491,899,296,381,155,566,381,354,885,977,829,597,388,083,007,
652,914,310,293,822,545,634,742,617,498,787,181,031,446,670,982,760,122,912,
001,077,472,082,417,883,979,610,855,084,810,836,600,448,585,564,868,571,567,
608,312,286,623,604,243,353,662,362,450,433,508,725,046,986,354,317,590,827,
761,710,686,750,805,741,873,578,828,348,460,543,301,578,206,549,598,413,689,
818,496,216,503,070,647,603,934,009,568,574,316,258,018,071,067,878,104,782,
872,384,630,070,554,237,031,691,392,396,614,916,832,660,917,117,238,184,747,
299,354,397,328,581,353,518,465,545,068,844,953,915,576,409,780,526,089,919,
189,517,978,991,420,942,943,616,824,733,856,350,546,381,610,420,988,135,096,
884,969,740,896,882,952,158,387,958,333,712,380,133,033,699,818,190,073,975,
457,621,897,237,417,342,226,959,026,842,880,100,812,462,140,591,674,534,540,
484,051,508,566,147,879,051,545,650,951,057,283,026,164,030,948,832,386,553,
772,349,133,866,710,219,772,104,231,695,291,001,644,585,576,370,151,483,070,
596,825,694,224,433,108,178,343,418,555,815,565,077,580,081,793,318,199,200,
987,505,560,116,311,831,738,874,554,794,637,360,298,895,331,832,286,451,950,
748,229,605,480,213,799,514,706,092,200,365,037,526,035,776,241,784,671,091,
809,671,412,644,314,671,472,746,548,264,254,700,765,306,830,959,260,810,394,
167,632,774,115,753,468,379,835,716,099,370,036,848,125,737,271,603,456,423,
565,167,209,205,755,893,284,162,787,742,132,883,015,119,642,761,539,208,232,
288,599,760,308,208,501,255,105,266,943,084,871,539,019,610,987,204,750,153,
561,698,049,081,642,512,489,936,823,079,683,879,186,569,529,411,544,371,375,
664,301,180,591,582,049,096,896,944,036,398,020,399,060,829,315,393,198,464,
801,195,025,909,152,225,384,111,444,290,575,446,785,459,110,700,957,935,290,
695,356,111,128,221,719,537,325,783,398,316,091,869,847,622,556,385,952,833,
026,264,545,610,097,245,268,874,159,738,522,311,466,570,861,773,783,477,468,
253,930,241,625,104,075,453,991,790,496,247,658,509,029,054,167,379,591,495,
145,572,518,550,373,492,619,008,726,673,600,206,232,949,683,911,058,491,288,
508,039,233,928,528,275,942,956,375,544,055,114,704,951,251,785,185,017,124,
171,896,708,375,791,126,610,162,294,335,076,788,231,982,808,288,255,914,469,
435,489,496,246,768,346,023,857,105,621,052,505,153,978,044,267,419,239,689,
129,732,874,332,365,879,366,248,217,481,113,080,875,860,256,100,455,944,804,
729,008,376,192,359,723,053,354,340,829,412,947,471,833,427,560,943,688,407,
315,523,558,656,930,229,917,737,369,079,209,663,914,351,210,019,168,094,560,
992,431,578,808,578,545,881,260,053,218,772,719,973,259,236,389,695,999,918,
554,469,371,992,375,885,899,294,111,273,248,710,865,744,072,725,492,684,448,
792,205,307,113,377,931,666,958,000,159,282,201,554,080,278,146,157,738,604,
001,949,471,593,215,581,763,527,977,376,000,019,567,652,248,119,081,393,532,
002,121,958,705,094,797,032,257,689,578,327,620,446,757,481,105,489,930,269,
368,957,690,823,848,502,107,546,302,880,833,540,875,696,459,458,991,601,325,
645,574,620,244,003,645,298,489,838,662,543,287,435,238,517,232,171,794,178,
886,100,277,021,982,250,183,101,470,363,676,579,573,179,655,509,680,930,175,
554,474,148,655,931,913,852,174,372,969,469,175,947,060,111,166,404,732,737,
450,697,398,658,287,715,958,583,953,868,672,543,390,319,418,276,301,349,520,
744,825,362,364,807,168,544,361,591,431,509,157,247,831,768,518,807,343,952,
924,422,908,724,353,097,791,285,921,392,786,411,133,703,106,059,942,208,376,
126,680,849,814,918,038,240,663,878,749,194,149,031,929,196,448,755,784,183,
985,345,558,181,153,119,681,006,828,583,091,918,528,553,230,860,218,519,030,
771,884,178,732,143,078,795,093,738,895,904,597,089,461,958,726,632,390,546,
527,146,058,856,885,421,188,341,411,319,442,133,462,945,162,043,923,988,763,
315,157,334,534,523,561,546,994,428,800,528,373,650,609,849,192,996,531,994,
876,958,503,738,859,736,981,813,537,274,007,135,351,661,425,836,818,265,669,
888,256,546,713,199,633,436,151,674,814,644,515,983,987,055,735,167,211,299,
898,337,101,376,079,753,008,835,897,740,348,926,901,166,074,014,221,886,304,
380,864,488,640,997,232,296,440,006,542,295,223,816,071,126,322,301,712,893,
914,648,666,967,405,919,700,266,929,954,048,719,390,935,909,906,856,529,501,
432,376,711,540,715,510,475,970,584,337,464,942,612,269,454,498,116,800,015,
752,859,828,539,577,500,164,247,463,405,923,701,513,982,967,969,531,751,137,
780,297,231,527,608,000,538,029,151,474,986,108,780,156,541,161,410,560,233,
409,838,938,604,483,980,883,850,783,540,980,427,893,965,122,912,029,902,993,
059,060,599,769,153,150,832,230,358,278,874,017,313,407,430,637,834,981,910,
344,882,999,543,454,713,918,787,471,241,569,126,613,768,190,698,772,774,122,
886,647,252,203,602,396,035,412,574,906,156,505,566,232,231,758,777,341,748,
400,812,911,984,965,796,839,309,533,038,814,899,517,615,350,225,749,756,995,
024,987,837,579,184,543,385,840,207,301,150,178,645,070,678,716,169,677,804,
966,308,876,001,661,144,135,107,172,994,895,658,463,468,230,188,999,987,748,
062,877,036,890,227,183,619,955,358,475,068,711,123,784,154,156,505,188,708,
230,593,654,067,105,482,099,989,302,895,418,966,283,769,350,103,466,696,226,
890,753,598,690,244,653,732,468,585,677,629,448,076,411,293,830,819,954,973,
705,349,247,983,058,832,551,163,929,152,837,463,496,190,497,677,951,872,207,
884,348,207,600,328,073,681,130,248,437,337,718,412,003,580,176,929,444,837,
050,464,834,271,190,136,496,395,775,777,275,835,781,886,693,804,708,380,168,
921,815,491,021,928,862,526,807,915,338,001,189,062,257,403,224,585,287,431,
678,598,213,003,845,925,566,455,096,144,946,867,605,473,512,964,049,938,209,
329,576,559,812,210,232,874,120,140,023,643,147,840,058,762,144,923,329,038,
936,336,995,198,342,212,530,986,103,705,407,294,660,381,794,170,233,646,923,
826,781,974,521,372,465,916,946,106,202,410,256,352,235,374,440,906,100,560,
766,140,617,622,271,156,421,768,111,750,673,263,989,877,451,383,086,129,487,
922,952,984,845,773,101,231,085,835,846,894,999,261,577,820,411,139,049,049,
910,896,587,562,070,226,685,944,045,190,273,778,588,914,774,758,857,631,905,
740,702,669,574,453,780,030,115,446,121,822,883,537,515,199,563,937,983,853,
382,938,475,936,607,372,429,768,731,317,854,955,963,681,055,573,361,926,873,
887,953,022,401,359,793,516,233,284,463,082,563,852,195,805,594,906,362,166,
531,496,513,315,334,515,994,490,742,962,852,901,687,769,850,937,914,893,963,
048,370,815,235,071,038,744,788,568,594,050,351,264,408,361,430,365,749,783,
548,355,722,648,896,431,400,794,177,390,856,627,092,653,662,059,544,070,781,
059,702,170,856,751,412,550,040,284,192,881,347,705,057,570,973,898,222,672,
116,779,241,880,370,354,102,524,738,068,945,424,308,171,366,679,079,572,620,
864,457,899,481,774,153,457,242,856,204,192,364,596,275,492,044,017,810,839,
933,257,547,508,906,900,367,525,882,687,697,218,502,870,127,519,480,869,927,
545,418,348,439,664,932,751,705,509,059,252,423,631,596,724,739,536,699,731,
201,941,245,749,955,283,120,708,766,320,133,883,381,598,072,060,013,079,364,
299,434,933,445,337,884,637,318,020,477,244,676,446,974,550,997,329,598,577,
167,911,787,310,710,367,610,385,095,191,585,970,640,441,962,162,652,428,851,
590,223,502,274,310,484,071,426,257,952,175,408,112,456,781,786,967,809,041,
947,714,883,094,209,979,608,425,164,432,595,724,622,204,835,573,352,691,383,
493,951,150,260,534,810,207,334,818,544,713,975,867,265,101,001,859,292,830,
592,274,583,211,947,967,972,017,073,137,284,435,849,599,939,779,119,425,489,
963,081,434,288,407,636,153,285,772,878,538,327,243,996,733,932,344,811,821,
357,731,657,135,534,617,237,260,059,042,149,965,492,732,215,613,650,997,156,
849,961,670,460,856,715,637,659,711,131,127,777,699,728,291,868,916,486,332,
176,868,565,730,515,945,925,442,420,316,648,043,825,354,112,359,753,863,082,
032,926,978,428,760,489,670,390,196,269,834,274,830,569,098,395,267,043,237,
399,171,531,519,010,597,694,345,915,798,771,809,139,683,369,620,485,075,676,
291,529,463,247,906,043,817,462,141,791,837,429,619,205,363,886,721,435,997,
177,243,892,231,092,192,370,892,902,199,813,922,517,433,465,693,043,506,612,
794,462,222,510,212,153,635,388,179,937,198,315,520,050,898,230,227,883,288,
090,134,105,185,295,925,166,866,777,875,267,588,219,735,150,704,130,395,278,
436,244,392,719,275,610,833,464,403,054,645,214,665,704,414,949,332,116,320,
938,806,502,231,517,298,355,998,527,339,384,774,522,403,394,797,572,387,542,
425,778,324,598,387,613,678,074,295,747,884,313,666,118,313,129,413,883,840,
368,498,189,578,083,866,988,347,930,374,568,501,275,608,658,971,551,967,622,
250,054,712,717,129,123,832,459,294,848,634,050,589,719,199,796,265,248,429,
361,294,454,006,408,723,826,281,356,309,932,604,430,555,645,298,441,181,951,
590,927,485,178,746,775,026,205,212,521,573,111,086,512,191,791,449,020,284,
951,995,791,558,861,234,946,018,147,349,415,853,298,749,317,282,272,946,351,
961,129,728,256,639,445,605,615,660,298,937,895,091,218,974,801,489,150,546,
728,655,499,342,903,918,425,878,437,774,217,151,504,785,758,360,392,963,678,
985,248,794,214,805,755,826,181,544,046,673,343,479,441,902,224,965,343,680,
193,174,839,799,186,085,653,697,414,327,273,663,320,621,779,518,794,664,970,
495,882,023,416,166,025,490,743,621,915,241,001,360,258,441,662,268,214,800,
329,540,497,992,080,492,926,768,760,733,026,561,463,442,700,736,636,189,401,
744,109,837,889,419,462,538,576,310,035,073,535,218,716,474,694,526,874,578,
116,367,388,849,925,795,734,950,480,512,168,468,155,673,360,955,676,370,230,
699,317,477,607,490,431,152,600,637,121,524,934,422,823,463,363,013,399,677,
673,477,886,445,668,089,909,847,970,505,919,039,655,536,401,728,619,124,430,
326,822,010,343,235,426,831,519,783,337,629,626,466,200,842,558,067,439,335,
001,121,945,296,904,973,683,278,347,676,838,842,417,231,251,438,793,663,312,
945,050,032,978,427,329,237,094,745,344,605,623,105,819,909,903,100,497,317,
937,951,872,410,279,964,633,085,802,336,285,166,980,777,218,491,855,645,654,
987,658,248,593,277,515,282,532,376,592,542,544,158,613,549,225,911,152,950,
472,818,276,470,784,780,314,773,377,407,937,656,950,061,468,393,807,483,327,
354,176,889,442,684,199,527,865,444,147,374,102,193,121,962,437,935,018,423,
521,592,531,905,809,282,429,288,424,102,380,465,789,666,749,520,153,925,138,
453,505,429,388,636,538,238,745,740,533,019,725,393,305,297,080,560,136,847,
509,212,905,330,791,439,202,926,320,272,029,810,207,550,235,952,179,256,238,
325,124,222,039,159,746,337,800,397,854,131,746,249,495,898,975,202,692,803,
629,626,618,336,092,008,609,947,225,336,942,150,674,848,168,167,573,506,712,
983,999,612,278,715,545,302,876,444,887,259,899,566,444,604,309,908,015,005,
403,398,139,904,498,236,106,282,674,487,815,509,640,875,324,886,057,361,094,
721,861,192,179,805,007,037,959,757,787,179,849,107,851,014,747,414,928,031,
238,482,467,593,781,816,967,237,590,030,613,914,115,659,394,564,326,967,543,
522,268,105,378,550,644,393,263,112,095,064,744,908,387,255,516,472,375,949,
257,937,168,813,633,913,493,578,744,540,262,627,314,180,816,697,952,546,712,
461,455,347,325,121,144,637,434,695,371,407,049,592,428,503,331,740,159,250,
563,521,166,561,734,599,435,573,754,433,083,163,317,878,166,972,905,783,779,
733,408,608,676,654,861,846,966,559,322,722,623,708,854,445,140,830,304,460,
465,773,738,539,041,696,316,092,105,659,970,209,937,641,771,373,280,966,224,
052,879,664,065,841,107,411,350,598,447,016,087,520,491,857,572,316,831,187,
439,389,220,333,372,388,944,711,989,802,970,203,111,705,494,259,357,509,631,
306,481,665,736,922,179,928,478,532,166,014,479,358,752,211,362,290,326,384,
664,157,586,970,701,471,840,280,147,225,205,510,038,557,583,478,929,881,535,
172,095,822,166,075,261,721,371,908,579,551,535,106,555,585,380,879,440,855,
535,041,867,455,880,532,260,849,727,714,993,622,930,521,731,947,549,657,804,
385,637,898,815,427,477,432,442,413,117,182,191,930,384,425,557,759,462,121,
932,039,814,028,075,912,090,379,282,696,619,174,996,460,310,139,601,426,565,
263,185,816,976,331,441,198,672,828,847,006,642,919,666,619,109,763,542,766,
549,060,286,517,652,401,509,391,030,413,096,314,407,593,532,542,905,743,098,
984,742,979,626,500,214,734,179,673,731,205,978,843,684,082,153,915,055,118,
757,359,941,857,051,266,199,146,193,881,068,025,695,799,853,838,806,397,429,
120,868,109,754,520,486,475,201,514,774,587,373,527,022,517,710,756,740,951,
347,160,737,932,057,641,338,030,841,192,408,652,567,200,692,283,972,651,092,
136,377,677,863,624,050,299,152,893,345,191,089,898,937,789,577,548,362,814,
574,586,407,633,364,446,020,471,079,249,968,611,756,916,819,865,026,815,987,
351,043,222,271,406,666,454,875,487,785,346,490,234,669,395,511,515,399,233,
303,857,695,536,950,654,702,115,414,916,812,638,147,033,478,186,824,738,171,
112,715,277,013,254,521,639,017,003,887,111,437,584,763,210,132,755,877,795,
498,791,933,463,592,659,608,931,761,154,697,608,031,553,200,155,698,501,072,
887,904,621,180,449,464,816,172,241,406,926,284,918,372,948,926,134,413,990,
143,346,145,762,606,907,591,599,136,794,849,290,031,186,359,906,116,948,336,
192,632,077,526,560,160,924,966,099,693,940,914,941,649,492,236,987,126,042,
238,117,540,040,174,346,624,684,316,663,759,564,445,505,577,144,659,667,506,
512,365,382,910,214,551,543,100,863,594,227,920,930,669,042,807,156,400,052,
358,774,273,550,668,442,760,784,501,107,461,683,238,004,663,153,412,190,894,
102,805,351,730,351,203,508,345,866,911,367,479,394,125,224,187,788,137,535,
888,296,986,110,709,488,706,170,257,525,482,171,926,229,433,754,730,015,671,
273,132,502,647,891,330,077,318,552,919,274,325,927,660,448,441,569,482,145,
521,079,275,256,493,719,011,636,073,565,042,967,431,127,190,854,671,214,228,
350,287,200,732,638,360,716,930,840,388,779,742,761,045,491,992,915,306,379,
103,524,506,291,214,308,478,259,586,184,214,309,856,604,461,869,563,950,092,
898,558,001,046,131,781,375,449,105,061,094,500,311,878,107,381,991,910,273,
693,437,814,252,120,393,635,066,761,960,986,142,549,775,981,633,503,122,889,
705,979,341,128,476,654,584,789,712,867,273,498,571,541,502,550,757,478,484,
979,488,238,402,677,970,577,704,860,509,104,796,859,678,884,777,471,486,250,
957,225,971,359,759,036,501,169,963,543,830,464,762,060,523,163,786,392,725,
006,105,475,758,026,177,417,070,328,267,701,420,942,203,855,184,180,264,231,
244,098,133,795,402,666,687,645,743,029,139,054,559,783,943,014,418,618,292,
720,406,826,048,744,921,544,746,870,999,070,292,029,216,334,074,729,953,475,
115,995,369,065,706,203,862,416,025,957,908,020,992,444,524,479,591,778,109,
468,111,829,823,863,296,327,572,940,615,321,971,328,020,784,139,048,319,856,
049,227,212,410,148,610,284,675,981,415,244,100,252,302,441,823,522,513,125,
004,005,041,501,286,709,375,699,702,058,718,301,987,158,617,114,025,870,422,
332,289,408,587,944,342,864,506,625,240,171,990,972,178,602,750,895,214,036,
158,317,361,108,015,565,436,052,404,980,925,376,507,728,004,600,240,454,663,
419,385,490,375,388,821,240,376,607,291,567,131,195,637,557,547,010,311,180,
366,566,588,117,531,604,360,008,566,203,671,108,634,705,287,162,575,146,003,
197,846,659,399,296,717,292,251,088,738,972,552,217,069,172,686,393,005,947,
083,112,811,825,023,417,248,358,498,869,827,542,585,089,713,982,717,078,093,
167,037,353,243,174,986,071,713,923,081,287,483,291,741,361,501,208,007,062,
445,233,365,315,908,798,571,902,632,066,664,711,857,875,221,125,467,163,640,
979,760,390,655,743,578,175,238,470,848,349,971,374,148,151,970,445,645,755,
749,559,176,467,734,363,664,095,091,624,954,345,775,453,866,593,202,175,634,
896,191,838,469,336,524,620,157,574,518,087,934,693,572,842,651,414,600,875,
152,410,117,313,654,178,095,175,033,909,549,927,347,639,478,055,620,837,468,
959,558,456,565,942,858,219,785,640,839,889,131,300,025,767,205,184,804,478,
065,329,608,913,961,238,014,408,986,562,507,770,310,481,343,888,012,118,810,
372,809,124,599,413,824,184,924,094,942,549,091,081,264,225,425,294,692,814,
123,707,599,433,617,759,637,334,160,391,203,588,673,000,872,789,744,491,266,
481,317,026,132,150,812,844,225,341,395,452,950,893,871,318,481,337,465,309,
937,868,202,972,059,825,167,969,385,811,741,912,212,926,454,602,964,991,214,
935,803,115,237,012,357,879,504,132,554,270,369,933,849,721,606,025,694,156,
016,230,299,723,954,088,628,891,569,478,570,786,841,895,457,833,981,557,416,
802,565,270,607,159,878,105,999,850,961,983,304,874,503,921,275,815,773,936,
817,507,293,568,815,132,037,135,434,826,730,544,802,148,337,169,588,867,397,
532,443,924,838,671,073,233,811,785,830,692,552,969,839,348,284,590,541,297,
602,459,294,209,751,197,896,838,907,555,764,907,898,543,244,653,793,906,418,
401,352,816,965,952,329,229,363,318,023,755,599,964,937,878,210,953,014,926,
111,195,301,918,287,795,562,521,567,975,604,014,200,996,317,470,163,790,857,
828,358,090,962,950,499,314,081,298,992,359,081,275,213,043,365,407,010,153,
316,970,526,443,221,755,516,447,635,177,746,682,889,146,540,766,035,324,792,
017,682,673,399,322,287,261,367,001,038,796,302,341,125,428,767,180,419,359,
632,629,225,984,912,123,303,080,705,434,934,748,525,859,810,564,994,704,695,
153,503,858,092,832,720,914,344,260,709,031,392,473,500,450,350,743,330,831,
963,645,139,274,972,601,926,730,685,605,633,304,391,440,424,498,460,288,820,
644,987,141,966,442,840,830,277,093,123,288,227,322,248,122,750,007,704,582,
845,965,401,333,359,295,953,818,551,801,953,941,201,171,787,170,072,308,605,
946,288,955,440,529,775,701,381,107,782,731,894,212,107,816,077,955,186,148,
013,425,292,992,591,242,701,250,424,045,203,823,708,416,319,216,073,840,550,
023,792,532,348,320,289,613,757,892,112,649,908,320,900,048,824,110,290,143,
899,638,086,048,265,340,046,930,860,164,467,868,653,461,832,533,494,680,318,
460,323,912,915,213,231,779,824,628,661,234,547,774,726,436,640,283,275,507,
822,374,272,924,255,451,808,314,366,951,983,146,224,034,298,268,255,749,904,
730,524,914,886,977,728,404,200,663,162,526,843,254,524,068,300,413,928,394,
764,960,057,139,352,992,043,922,636,347,708,364,614,838,848,931,550,672,563,
981,707,913,431,051,924,518,722,983,761,805,139,259,924,510,452,276,184,537,
935,228,991,911,201,154,050,685,551,218,390,981,518,981,791,095,354,336,187,
188,595,491,313,722,623,927,972,905,583,285,448,377,826,494,551,730,926,457,
264,109,864,052,018,327,956,459,836,276,748,657,095,679,096,981,584,670,579,
771,252,223,135,529,843,631,569,707,104,668,377,307,317,646,011,554,288,155,
935,401,838,468,403,039,908,068,731,904,093,064,263,015,525,243,819,141,389,
589,153,893,606,350,945,986,661,177,098,336,588,509,097,958,790,573,283,778,
649,423,359,256,386,517,598,396,083,085,774,908,054,273,571,460,685,083,209,
624,182,210,886,025,735,545,907,363,011,900,634,501,750,478,722,288,015,601,
418,244,944,951,214,306,696,674,227,838,103,267,198,175,754,213,604,570,248,
077,255,477,628,235,512,894,085,625,637,707,719,369,740,386,906,291,103,407,
344,524,223,373,208,796,990,995,630,105,838,784,397,037,733,892,616,152,894,
094,342,285,542,457,692,018,284,902,000,707,493,892,378,270,613,394,146,893,
777,700,677,179,510,100,810,221,577,307,461,416,738,172,220,007,967,887,602,
042,932,796,576,639,456,625,043,697,226,434,033,395,735,227,676,718,995,259,
372,735,260,085,761,057,500,416,247,276,788,435,060,289,428,964,411,513,086,
689,859,512,553,721,144,025,312,121,774,001,935,572,506,286,452,182,445,795,
596,085,062,316,017,084,403,355,623,175,411,010,468,973,789,043,585,691,431,
849,914,952,562,261,439,621,066,619,942,603,465,365,713,218,378,662,402,355,
801,246,613,374,756,987,706,515,734,330,329,640,903,476,082,895,632,119,071,
197,195,434,817,974,309,872,312,672,803,370,729,884,600,517,013,425,063,839,
902,361,551,860,194,025,916,630,236,382,967,091,986,360,126,957,179,256,434,
949,297,901,524,681,373,362,698,453,454,337,370,405,145,899,052,615,029,366,
827,970,488,871,530,313,625,737,941,683,515,453,716,566,845,942,060,011,721,
532,914,873,102,173,356,435,693,014,210,779,836,457,172,147,102,220,439,780,
618,638,508,444,107,341,073,608,467,892,775,090,783,367,426,201,978,346,011,
235,151,540,935,887,618,420,402,854,633,917,322,498,917,210,234,961,569,754,
036,412,808,687,352,925,041,976,830,550,516,765,294,989,757,027,034,282,446,
490,841,840,570,881,074,365,387,094,223,324,873,566,806,616,964,772,453,691,
436,422,484,549,401,891,761,448,424,045,007,260,150,084,572,561,837,506,742,
105,766,805,353,097,643,447,535,390,812,393,589,160,052,837,040,941,656,995,
860,422,380,597,223,687,828,845,726,078,011,732,417,646,420,494,568,440,626,
908,864,211,218,054,319,900,443,259,086,772,463,864,820,860,295,580,533,791,
132,163,665,685,438,560,046,430,026,466,986,222,788,889,469,257,970,461,698,
642,648,824,386,142,969,230,086,471,325,799,690,209,953,637,986,980,129,898,
226,378,276,830,586,956,216,652,283,403,132,787,151,632,476,621,121,870,252,
685,988,613,555,842,369,892,838,484,896,835,492,433,789,908,419,353,325,327,
557,264,257,696,761,464,503,596,340,867,602,995,584,635,559,859,893,189,268,
786,492,411,665,133,544,726,179,414,071,701,053,017,222,238,397,996,654,671,
711,446,235,928,435,361,978,414,661,181,893,322,816,590,711,753,903,862,167,
745,856,942,123,065,050,625,468,350,817,918,254,633,511,346,874,134,802,360,
945,462,043,477,854,649,196,397,110,029,962,739,965,447,471,681,185,934,138,
143,469,547,384,552,416,569,746,450,238,136,227,579,434,943,762,645,625,026,
036,668,605,294,260,786,673,051,558,680,115,916,910,578,436,968,846,278,888,
945,994,499,422,954,930,611,578,515,562,836,557,309,774,017,838,323,424,820,
395,831,157,729,445,480,600,125,343,353,936,561,504,077,908,107,174,900,221,
604,204,974,695,520,974,308,254,572,393,507,869,960,657,523,435,678,681,343,
245,278,758,901,434,097,884,719,865,873,399,136,891,418,804,189,980,285,284,
153,416,554,559,350,147,700,799,142,989,766,208,277,772,476,915,838,072,125,
784,616,244,765,486,842,503,312,993,080,662,788,643,129,081,410,366,338,420,
326,051,019,946,220,746,470,584,565,770,980,691,643,808,859,343,216,780,010,
590,522,155,160,476,669,584,906,717,366,156,411,857,022,278,968,343,151,684,
141,810,128,895,665,855,904,424,068,585,465,151,906,901,364,838,678,069,161,
463,498,512,214,830,973,095,433,561,136,217,379,763,588,903,846,751,365,411,
075,443,076,567,513,230,013,632,418,639,085,394,898,035,688,289,157,619,606,
516,370,807,556,538,293,072,530,207,186,191,891,025,249,059,215,806,566,619,
980,078,567,446,781,950,117,900,522,963,170,398,376,739,447,288,079,179,209,
590,337,655,488,745,487,682,853,328,335,070,415,541,524,347,606,342,707,125,
764,898,902,514,221,636,533,567,035,872,328,703,450,518,400,088,314,593,316,
156,761,865,701,644,575,468,987,047,060,229,238,508,863,943,472,199,174,442,
227,967,183,270,754,955,401,681,520,081,219,923,518,311,070,743,414,729,367,
337,681,832,426,373,899,676,607,004,553,387,749,201,716,035,445,721,566,496,
607,450,105,840,490,685,971,691,775,178,966,207,364,653,023,194,028,913,240,
586,026,710,594,388,605,988,518,152,562,953,732,245,417,794,385,472,123,616,
730,212,324,269,864,014,473,478,714,897,121,410,255,099,076,088,528,718,025,
015,243,355,493,146,866,417,823,878,776,470,584,274,829,315,728,175,576,310,
388,395,489,671,358,684,940,947,237,845,065,762,951,054,270,742,756,752,658,
145,237,464,469,928,723,802,890,763,655,187,427,125,352,952,060,461,975,745,
819,467,786,897,135,953,648,558,651,610,193,061,117,100,594,024,995,420,624,
208,193,653,968,599,469,506,831,585,887,947,845,849,120,232,097,928,363,893,
485,985,138,697,018,307,811,542,967,506,846,664,944,119,963,392,427,153,022,
141,485,849,332,470,434,002,469,331,450,339,961,893,613,061,553,612,043,822,
006,775,789,571,985,121,654,189,862,672,958,913,089,208,633,623,958,771,482,
505,314,660,416,518,132,543,229,302,855,050,135,163,998,531,815,340,558,319,
287,669,488,193,889,275,782,049,663,787,068,034,732,879,107,973,073,974,922,
984,590,900,139,034,522,390,150,120,397,558,167,243,844,632,755,730,953,657,
082,608,425,436,714,397,055,543,689,703,954,004,437,373,757,672,523,631,593,
387,780,945,668,172,236,973,537,513,335,392,305,492,461,758,822,379,772,635,
093,055,713,889,875,366,419,308,952,555,564,170,580,536,213,384,535,537,076,
526,714,955,769,544,118,982,752,097,404,579,980,874,530,286,728,222,628,393,
904,062,134,877,643,670,606,286,166,951,183,236,629,782,297,513,336,206,641,
767,230,872,235,726,630,684,395,341,205,143,186,785,741,676,500,191,821,237,
202,312,803,396,025,731,631,108,932,008,741,310,428,578,878,818,606,405,012,
116,328,376,309,376,349,039,550,187,552,097,656,521,317,283,386,410,398,082,
837,988,049,460,113,095,312,417,645,863,087,995,957,926,000,619,493,652,487,
053,261,452,212,888,288,207,979,859,458,749,203,131,844,369,081,696,091,054,
542,640,879,588,987,767,792,011,548,955,307,841,389,708,001,852,763,122,610,
705,552,517,047,089,561,718,343,036,915,770,369,858,786,552,818,714,817,513,
708,307,647,570,011,540,063,847,185,854,676,619,632,773,918,751,537,219,067,
405,465,518,628,609,934,478,228,694,630,623,206,391,808,529,286,019,937,453,
065,767,394,602,023,016,596,810,523,751,146,037,074,712,152,896,688,176,465,
763,799,951,367,585,605,025,425,056,456,738,027,726,753,552,228,201,089,513,
693,213,278,933,157,548,943,793,494,872,655,045,039,728,075,762,597,420,012,
802,989,348,516,261,088,841,851,976,896,492,833,985,456,574,179,307,824,853,
343,575,298,424,220,639,701,595,649,279,406,851,788,510,695,989,754,180,862,
085,443,198,581,310,717,778,890,647,839,651,384,907,936,191,990,596,850,841,
739,263,661,875,209,305,163,941,767,727,596,374,162,248,260,668,186,609,319,
439,344,209,565,049,894,230,184,174,552,832,470,846,638,512,129,556,453,990,
492,306,863,041,394,536,542,284,549,832,553,778,119,614,071,578,747,299,878,
591,544,657,611,416,085,518,464,498,025,359,735,890,745,757,829,385,149,300,
978,924,420,568,703,246,628,789,855,936,074,091,593,698,239,554,891,349,760,
283,500,142,001,564,340,263,388,939,638,193,567,131,310,828,289,267,775,630,
840,079,170,546,928,155,013,540,164,017,939,983,871,646,380,988,431,496,911,
627,671,734,169,549,220,394,874,970,493,325,106,544,991,669,753,683,154,875,
874,926,283,362,343,784,602,689,783,712,858,518,950,988,881,109,476,002,439,
847,235,344,826,263,939,511,477,176,168,758,906,888,543,539,265,551,439,649,
051,000,364,635,239,881,517,340,361,922,627,052,499,495,070,146,685,871,921,
886,190,535,302,297,322,582,114,365,829,999,949,533,978,381,213,315,063,190,
863,284,578,044,234,179,417,680,408,293,015,047,654,178,730,358,485,239,253,
492,174,800,562,377,289,808,928,202,476,004,026,123,153,238,934,734,252,702,
592,575,263,433,230,555,771,827,994,306,806,046,492,762,456,469,288,507,206,
690,095,882,989,779,306,485,073,169,470,264,076,930,352,387,298,608,668,744,
301,104,571,947,877,237,560,945,090,808,948,336,125,621,230,980,231,354,885,
991,745,612,302,084,143,116,226,819,671,260,939,165,529,412,159,482,221,572,
483,518,345,946,161,118,532,323,785,501,485,008,428,119,626,598,118,444,679,
097,103,844,297,750,428,226,939,313,862,938,512,952,576,048,826,526,460,614,
981,466,577,183,958,031,655,433,237,815,535,681,186,136,973,840,496,000,268,
557,994,949,654,711,416,606,942,295,104,760,462,221,097,334,725,221,581,596,
436,854,805,074,241,388,517,265,266,559,862,966,946,622,585,521,079,187,505,
140,466,391,784,736,781,531,652,595,350,524,135,559,739,226,324,931,741,391,
871,498,841,025,368,060,689,170,988,626,816,617,180,668,462,108,595,772,736,
187,792,090,616,635,682,194,556,011,544,929,364,654,128,920,001,238,490,443,
159,935,122,851,535,933,961,188,011,282,970,746,701,966,834,214,763,751,554,
920,669,164,141,904,911,983,768,952,875,250,355,509,667,830,078,574,810,841,
443,216,260,346,208,376,784,183,624,730,428,931,700,518,976,825,236,825,926,
719,668,265,584,034,873,009,183,209,448,367,886,222,663,603,414,455,253,812,
845,928,055,172,976,257,624,072,705,133,917,572,978,453,336,792,034,968,430,
435,663,274,060,702,991,062,383,808,893,063,892,395,514,224,786,208,881,979,
179,792,554,301,707,022,489,477,751,691,876,503,025,824,074,718,494,402,396,
539,815,323,872,116,194,861,217,846,270,795,364,583,592,782,132,324,181,962,
075,839,442,440,185,679,098,396,853,587,161,932,434,917,873,510,959,295,248,
827,301,078,812,315,379,547,262,619,099,987,026,681,211,465,811,422,810,285,
241,049,949,390,768,840,996,702,979,543,948,421,174,959,068,500,933,483,691,
042,505,697,699,320,417,618,188,182,155,882,824,063,171,959,667,978,640,438,
688,709,647,620,715,213,516,919,484,998,099,856,770,049,067,552,906,235,303,
881,848,324,509,680,715,659,498,534,838,676,747,095,736,553,463,940,190,716,
058,535,816,376,914,554,201,094,742,000,606,374,850,011,316,699,605,903,866,
107,916,310,897,436,561,150,401,526,790,080,507,679,382,562,638,765,314,283,
221,191,679,623,682,191,249,022,603,039,317,253,399,597,789,786,392,659,138,
288,990,391,358,748,414,413,295,028,303,855,107,390,608,411,061,433,486,518,
159,918,677,993,751,492,822,335,758,654,904,403,739,940,622,081,167,318,332,
986,806,708,352,282,794,702,089,883,010,112,652,397,416,367,387,151,312,509,
880,505,131,788,575,231,044,022,492,212,778,430,292,681,836,569,284,912,385,
128,451,064,307,979,128,381,999,131,752,837,604,355,347,830,690,849,840,683,
850,251,421,360,700,268,388,147,163,776,876,851,829,472,086,683,630,179,344,
931,202,073,511,161,970,840,693,958,474,130,377,396,740,290,653,477,451,685,
560,695,999,714,684,074,161,412,155,258,254,120,377,618,833,654,587,729,023,
483,845,664,975,835,403,229,055,711,169,881,262,442,147,758,645,234,352,295,
622,024,536,245,956,123,659,748,506,179,870,237,587,925,679,923,951,931,679,
744,669,063,128,935,628,834,632,531,400,615,090,338,499,812,380,948,538,045,
457,657,127,998,999,123,962,317,926,145,002,140,674,853,645,693,627,373,623,
266,999,991,078,364,711,236,383,651,841,382,918,662,526,847,210,370,086,923,
157,949,085,186,087,851,795,594,907,136,256,843,315,845,672,152,421,914,225,
367,415,794,278,764,467,425,852,181,839,233,206,638,705,510,537,733,832,777,
899,321,125,311,724,965,560,673,860,579,351,700,108,751,820,496,999,410,390,
874,752,511,926,587,979,083,857,989,048,273,494,070,112,287,641,930,282,110,
339,267,158,464,363,434,140,055,254,742,262,133,947,979,312,540,175,958,088,
967,337,758,119,804,479,764,438,451,330,409,366,586,263,773,901,606,114,997,
638,278,802,374,485,628,049,355,811,699,405,998,485,120,143,243,685,021,416,
460,238,395,282,829,897,342,327,421,490,439,967,892,777,481,658,310,104,232,
257,979,352,638,081,074,370,660,281,172,518,376,335,111,748,726,245,128,265,
380,671,709,220,827,165,330,021,341,532,361,614,171,352,361,083,410,831,627,
731,395,764,963,482,555,552,733,746,588,837,003,874,256,895,541,992,134,240,
744,212,120,914,519,869,188,102,421,068,397,458,869,837,803,067,526,024,230,
246,332,160,895,937,951,001,676,510,103,536,326,019,788,486,836,037,405,489,
336,396,060,453,630,270,795,287,440,301,458,154,790,433,590,967,485,541,280,
846,148,738,486,130,818,177,652,170,624,837,857,701,188,059,976,883,980,953,
373,217,073,448,403,300,857,664,225,627,198,028,761,703,305,630,097,371,695,
857,817,754,079,795,935,024,590,708,091,745,333,323,000,313,945,005,275,984,
148,213,217,897,277,582,598,699,629,671,626,424,355,956,592,111,719,184,464,
714,342,569,642,914,903,049,919,842,714,394,410,670,882,662,540,901,972,963,
331,597,758,165,098,168,668,092,905,600,608,280,719,354,080,663,969,448,939,
341,125,270,354,612,185,204,764,004,251,761,390,246,604,568,952,084,015,414,
795,361,187,846,318,051,358,783,834,792,529,090,014,318,004,372,910,216,549,
126,083,727,853,900,640,517,581,098,447,853,815,162,010,445,615,462,407,417,
754,932,434,965,173,803,483,106,031,566,864,117,550,551,974,320,964,331,107,
661,526,551,538,237,444,649,220,167,807,139,045,595,988,208,800,913,828,269,
718,967,739,804,879,121,421,996,349,704,800,471,455,985,975,287,718,999,387,
168,723,491,853,765,784,317,620,996,731,662,801,604,406,540,277,442,908,967,
107,284,195,161,833,605,760,101,696,651,449,034,301,814,438,708,394,488,584,
541,094,320,673,142,031,571,219,569,600,232,157,378,961,620,100,223,142,477,
924,902,655,932,776,275,469,721,363,573,764,634,567,863,595,368,729,638,931,
785,140,871,725,263,867,648,000,255,572,450,796,596,104,240,292,101,860,377,
877,456,180,112,125,283,038,335,454,008,135,559,108,634,378,683,852,543,032,
841,129,693,009,968,465,716,782,754,988,794,972,389,772,500,517,669,113,799,
300,425,399,693,362,095,825,375,882,689,428,759,561,482,050,849,637,407,853,
499,216,264,686,014,783,085,911,770,340,925,054,241,105,874,882,536,445,506,
447,743,852,136,752,572,348,829,833,921,339,663,225,743,874,236,107,338,418,
619,965,300,022,087,488,556,639,082,786,482,058,710,988,535,344,528,798,424,
052,502,829,150,827,790,143,222,704,488,152,117,368,218,785,717,551,749,728,
578,420,119,581,372,784,625,528,352,367,426,449,129,597,991,345,604,319,638,
745,686,613,603,186,901,015,382,971,308,004,382,550,292,548,056,084,110,439,
483,569,080,175,412,394,822,810,947,128,640,438,725,965,293,699,091,867,790,
613,731,689,427,722,583,658,016,045,927,641,598,749,620,148,875,535,724,706,
367,672,945,545,475,184,124,025,720,073,684,567,362,492,730,201,742,438,802,
548,654,564,348,108,253,455,256,898,282,382,324,796,784,262,400,440,881,381,
935,760,515,323,347,280,932,071,116,767,920,953,806,476,292,929,914,795,510,
203,223,405,872,848,637,672,870,794,857,241,033,471,260,897,346,579,912,975,
078,208,259,973,340,411,128,503,495,621,188,553,479,943,697,535,363,862,352,
813,554,218,167,035,988,798,543,820,415,475,848,699,323,897,695,350,815,233,
548,224,307,243,299,350,604,743,335,591,788,404,173,166,175,801,616,812,419,
844,778,462,512,591,294,314,912,249,409,649,282,590,427,101,915,855,491,373,
490,182,721,811,039,709,432,038,033,535,919,887,589,710,766,708,032,171,705,
675,039,896,991,882,642,795,842,351,578,045,234,442,540,424,927,493,266,900,
889,559,959,926,396,666,973,359,163,452,698,131,203,992,830,730,129,687,804,
447,245,919,637,160,787,518,617,356,032,991,313,701,638,072,782,509,972,923,
482,662,926,031,438,916,098,380,500,960,796,462,099,150,088,123,801,964,669,
576,467,726,153,748,111,433,804,146,810,655,566,124,876,167,201,563,063,641,
711,898,702,521,721,843,639,439,371,937,031,982,213,832,933,475,012,063,180,
821,452,011,545,642,992,109,381,756,086,756,677,088,989,286,243,769,294,801,
077,443,943,659,512,037,582,922,222,733,300,710,515,501,967,461,898,916,227,
337,999,649,177,273,714,996,045,826,655,258,576,144,448,781,262,258,664,493,
519,732,587,321,865,404,802,820,504,673,443,729,660,695,588,539,424,689,918,
945,029,459,480,614,716,561,914,848,975,847,514,951,951,078,847,341,548,443,
392,392,605,378,314,791,399,207,826,664,775,886,494,741,615,273,506,361,161,
595,591,073,521,737,083,633,789,354,600,429,685,376,440,028,076,723,597,639,
471,453,908,856,748,949,042,322,699,783,864,782,712,115,693,660,887,967,714,
193,906,895,440,564,656,586,618,106,766,656,586,920,246,504,807,000,978,522,
235,814,432,830,003,885,805,035,043,055,183,065,932,119,295,141,400,588,583,
620,339,241,237,742,498,610,328,936,716,511,877,181,322,663,093,629,052,683,
126,573,412,872,652,744,845,473,546,466,387,096,349,435,124,931,927,460,531,
939,494,404,334,378,946,703,364,852,492,001,557,683,408,024,400,285,114,065,
071,802,647,566,940,252,837,561,388,317,141,614,976,339,830,209,536,785,870,
702,989,402,722,098,550,528,454,655,726,261,968,414,550,469,823,829,756,979,
110,445,608,771,902,949,407,475,907,405,584,785,490,784,382,443,485,959,997,
320,841,998,333,486,791,878,338,965,391,129,798,293,295,946,631,107,238,536,
923,092,909,910,433,505,892,826,382,477,987,336,989,819,797,906,650,556,138,
974,781,604,726,495,652,411,688,464,086,513,759,961,016,219,908,175,586,724,
429,942,937,609,994,346,929,142,266,713,977,266,928,172,498,955,206,708,858,
553,309,705,318,446,738,300,864,047,660,569,361,216,554,637,295,186,484,885,
406,222,484,606,962,569,860,495,014,279,109,370,555,236,108,024,693,031,706,
130,602,137,050,179,341,060,082,458,188,974,903,963,865,145,845,647,159,988,
393,333,616,454,500,617,049,243,037,313,404,932,616,603,422,964,276,175,537,
017,727,867,990,081,316,488,825,945,674,225,282,923,601,178,097,068,563,749,
874,465,187,622,746,652,937,149,940,313,358,394,100,050,112,640,410,347,267,
036,156,916,765,457,343,864,618,357,788,417,337,931,597,463,530,067,788,053,
287,093,801,985,819,917,810,773,828,190,844,011,882,265,347,098,297,602,522,
506,880,515,228,188,496,824,161,848,357,771,968,086,729,044,083,581,979,021,
778,988,428,266,268,936,694,863,467,863,982,647,428,613,613,067,911,238,933,
657,375,857,875,120,651,536,887,982,638,352,704,196,437,941,976,623,959,786,
339,007,654,489,778,772,530,931,976,775,245,236,359,941,587,129,479,519,765,
089,265,896,680,307,728,198,875,958,090,428,461,894,871,570,216,154,946,340,
415,276,757,750,497,205,006,693,508,929,100,674,495,760,088,444,198,115,500,
970,606,911,371,075,633,997,023,180,064,569,632,864,728,849,187,273,179,627,
285,931,514,450,943,830,693,788,464,892,474,001,245,317,954,120,592,734,008,
591,700,487,889,415,856,329,441,972,033,972,470,077,210,700,599,419,330,891,
871,045,514,602,054,138,557,618,394,738,943,513,323,438,997,442,721,279,216,
909,995,027,919,886,530,315,072,151,710,501,942,206,617,624,614,891,205,699,
631,464,460,385,985,893,196,376,768,858,273,332,026,999,615,278,119,191,269,
826,485,426,103,305,018,838,753,195,975,489,773,877,141,893,232,076,863,695,
139,647,568,067,629,009,279,490,812,988,392,873,085,523,725,893,334,232,756,
355,341,883,508,404,805,750,943,780,631,584,662,823,343,118,937,762,525,624,
108,043,535,469,031,934,914,243,193,666,130,839,223,933,627,163,942,191,895,
905,675,295,876,574,748,874,834,042,662,406,971,839,182,886,455,823,164,113,
859,058,604,085,914,079,594,271,520,966,691,381,277,902,127,854,294,572,125,
239,252,012,347,141,794,948,363,871,282,116,643,063,599,262,113,851,348,788,
711,172,571,977,307,033,699,373,319,103,743,686,720,873,901,291,546,891,212,
133,294,807,056,001,106,406,466,536,671,939,771,965,161,252,983,295,613,421,
254,289,202,880,408,995,434,563,322,825,263,798,645,565,105,402,373,010,986,
888,159,270,400,448,507,198,999,843,121,095,753,484,483,817,241,132,008,177,
356,351,042,162,483,776,293,028,417,072,883,139,554,332,607,344,694,682,851,
804,714,025,639,917,914,802,145,946,986,736,551,245,406,558,164,547,581,640,
944,232,687,489,103,572,827,402,698,815,162,600,963,737,562,346,699,729,307,
909,602,930,241,098,159,940,595,893,592,755,340,657,496,108,663,000,997,947,
309,464,572,746,970,056,477,054,776,129,393,252,712,412,324,355,643,905,213,
866,876,090,585,657,358,279,034,015,350,526,813,662,060,739,938,698,825,150,
278,237,228,992,971,831,535,920,259,591,380,302,030,431,523,835,000,651,350,
097,421,649,141,903,466,739,986,285,371,885,136,092,658,829,952,651,414,016,
729,065,487,567,263,323,518,683,890,543,210,724,035,605,461,575,251,743,126,
356,416,473,726,229,435,417,517,136,673,199,247,263,956,894,642,659,272,092,
784,722,356,790,745,871,374,319,658,993,782,017,101,396,172,693,227,982,253,
613,604,675,523,665,144,280,797,524,690,943,940,645,544,416,470,726,617,377,
223,921,209,226,994,532,734,274,295,633,875,640,422,935,113,513,790,813,846,
174,923,703,842,376,717,922,349,856,504,227,930,669,123,982,786,340,898,497,
235,002,161,167,439,684,391,209,198,538,060,648,132,995,756,208,634,638,808,
571,236,074,726,052,375,857,508,892,838,357,603,729,881,891,911,262,896,360,
627,150,938,393,144,094,142,097,922,096,378,787,661,035,220,739,068,209,517,
315,387,240,587,157,167,301,602,216,480,861,953,062,524,045,547,697,237,524,
263,502,685,895,499,087,841,173,202,433,521,738,898,502,452,339,766,275,746,
013,915,942,346,411,753,984,422,371,558,056,263,707,215,593,712,520,070,181,
547,610,440,017,210,666,951,005,418,878,653,120,922,736,659,874,524,240,536,
603,352,125,240,916,820,888,410,371,147,813,484,476,218,413,019,547,251,541,
519,712,711,822,343,234,146,034,491,566,478,682,504,294,144,358,854,623,244,
440,907,277,982,789,734,830,976,510,399,135,901,156,604,473,421,605,398,229,
558,594,298,947,761,340,822,037,262,566,854,659,568,538,626,079,506,862,207,
136,681,575,429,472,066,865,295,727,076,023,997,329,052,256,214,551,085,695,
226,703,771,604,569,888,638,724,706,804,019,378,129,983,420,113,530,530,293,
063,125,547,904,332,792,432,620,939,406,742,355,088,543,483,076,623,083,533,
317,375,293,218,262,748,795,488,789,975,167,534,458,333,555,540,259,046,341,
893,597,079,296,080,610,272,651,629,112,571,073,767,010,331,373,858,195,759,
082,310,387,284,988,736,262,994,284,774,674,433,457,625,467,581,903,553,079,
456,631,614,343,529,415,372,128,933,305,985,173,763,437,055,202,267,487,178,
662,362,897,692,953,435,771,713,608,879,837,790,896,743,234,585,495,136,710,
060,932,397,465,349,125,368,047,127,398,024,006,964,136,493,350,944,051,211,
794,956,920,717,037,930,377,807,431,948,633,176,091,835,320,323,595,402,817,
226,007,466,536,513,625,031,388,395,022,046,565,693,399,290,143,569,484,521,
516,378,064,324,205,767,835,037,348,841,747,267,762,056,724,319,209,012,203,
060,567,370,227,756,847,356,713,813,233,791,219,669,553,035,495,466,417,047,
433,311,210,664,368,840,676,957,169,682,659,732,476,113,557,952,916,420,896,
873,603,126,509,688,643,649,158,921,124,581,090,716,867,309,207,997,265,650,
825,119,960,124,780,480,980,797,629,660,082,704,493,651,046,143,637,188,416,
171,906,616,119,690,275,220,590,071,080,155,359,809,069,910,995,856,146,335,
188,022,308,905,361,671,881,889,260,433,840,360,800,940,026,087,161,590,336,
550,453,147,516,386,569,181,338,161,523,889,622,058,619,847,818,526,805,191,
426,641,923,151,722,191,239,698,596,549,146,603,135,549,481,813,085,059,392,
395,090,996,733,711,478,894,811,060,497,531,382,610,597,806,593,428,018,801,
563,165,224,168,229,440,804,466,071,987,703,935,286,588,347,266,796,984,585,
972,456,418,319,078,187,329,858,321,893,706,268,065,458,770,846,335,708,604,
113,232,403,887,248,130,829,344,138,987,212,855,685,815,394,947,748,087,889,
506,474,783,563,104,067,959,740,876,262,343,060,739,012,960,156,567,905,726,
174,680,622,391,884,448,897,298,027,656,173,723,108,089,380,519,052,227,780,
469,818,148,451,974,183,502,623,214,559,605,165,053,422,326,490,930,012,242,
602,433,374,168,921,495,047,341,084,116,992,201,645,984,382,990,772,198,023,
708,235,553,834,868,277,943,091,251,211,887,566,860,730,544,724,045,714,306,
788,275,009,528,472,116,264,952,216,996,897,372,199,342,275,511,873,916,630,
917,266,061,964,846,227,245,865,671,086,142,146,701,541,621,789,942,100,167,
070,801,885,017,170,968,860,885,387,643,008,539,488,354,345,668,991,967,551,
095,564,422,130,404,310,301,574,447,287,489,638,418,472,941,625,867,212,858,
192,046,815,602,291,533,900,277,790,026,344,426,658,797,361,511,576,431,301,
800,843,946,762,581,910,450,142,941,651,688,013,580,271,442,438,186,896,987,
095,400,891,935,371,026,449,395,226,575,139,303,620,675,662,180,064,565,990,
938,112,362,911,962,714,224,678,179,878,491,535,267,080,703,480,413,166,472,
570,055,680,240,136,714,930,807,092,510,504,505,251,445,808,167,093,236,488,
511,905,138,598,703,333,944,014,938,149,862,859,361,625,497,014,423,818,017,
582,912,865,090,905,201,143,375,446,141,812,079,902,300,225,062,009,756,874,
755,503,631,775,298,295,965,056,572,355,638,324,497,777,410,083,173,852,476,
379,876,287,129,301,676,803,972,026,364,778,319,502,927,197,144,452,190,284,
229,949,667,925,862,917,841,229,402,439,979,646,004,519,255,877,204,960,181,
050,712,680,656,401,886,271,020,210,650,602,978,633,629,820,349,246,635,587,
763,917,693,292,572,376,697,374,623,648,570,784,873,128,030,238,948,856,538,
773,623,402,417,381,675,995,518,204,411,021,938,127,127,955,568,688,753,200,
620,612,721,072,400,805,321,992,470,199,855,908,369,908,967,830,149,782,767,
140,879,498,091,253,801,892,734,329,238,195,844,071,060,696,385,701,368,394,
112,581,006,514,472,632,037,038,772,143,406,593,849,836,394,878,579,362,649,
194,457,844,350,913,643,121,974,999,595,804,860,710,176,498,011,540,736,135,
344,765,586,338,079,697,519,311,889,431,942,145,134,029,290,469,653,839,648,
594,046,536,835,797,437,494,169,400,156,250,446,109,054,080,979,741,366,251,
340,538,381,034,292,049,740,659,661,035,997,715,201,120,895,906,456,069,099,
184,146,740,164,098,478,173,978,004,186,668,487,963,741,772,548,359,130,965,
259,898,645,415,102,085,459,716,304,664,921,355,164,823,259,992,573,869,420,
947,706,291,825,197,404,488,885,780,649,165,926,306,199,454,618,877,271,732,
040,126,317,583,073,847,882,669,033,260,235,391,856,921,851,366,904,331,212,
475,428,083,763,587,537,985,183,939,905,848,175,006,012,842,067,640,918,651,
600,475,244,391,356,396,516,340,051,804,173,459,126,010,263,898,647,300,686,
183,771,983,529,656,391,815,451,418,736,941,023,620,841,739,788,708,585,596,
479,572,814,354,622,894,095,108,798,299,616,566,046,459,234,986,131,812,420,
813,163,031,650,865,021,203,884,664,329,760,120,097,852,129,672,804,013,403,
166,618,979,953,829,643,948,885,863,749,077,520,082,677,971,537,082,061,375,
790,687,220,359,662,073,217,224,387,851,677,234,204,719,935,069,438,457,759,
702,043,761,018,444,973,725,982,143,718,414,973,257,652,899,511,359,175,849,
231,498,755,362,953,472,178,154,899,809,313,592,985,877,924,061,873,430,063,
858,407,175,345,525,146,137,237,243,461,972,603,894,760,708,754,351,227,293,
737,467,022,019,447,513,524,895,475,044,331,636,205,174,752,684,171,474,598,
226,783,589,554,377,899,409,582,774,546,713,063,668,015,905,401,214,545,388,
797,918,765,109,913,497,425,308,832,826,031,544,657,928,326,857,740,454,180,
909,972,166,639,737,829,668,960,095,416,446,003,841,912,056,998,451,119,817,
742,332,654,970,781,800,894,255,174,345,313,341,817,127,482,827,309,610,901,
905,187,466,702,498,561,772,117,959,504,286,591,437,287,638,553,409,116,522,
026,914,671,178,666,832,113,487,229,480,717,567,143,013,123,867,906,243,754,
927,397,075,508,188,171,097,404,384,173,346,911,503,108,388,454,971,620,877,
417,479,927,937,568,359,677,854,267,235,395,032,134,754,186,314,852,601,298,
347,061,175,898,481,646,916,334,671,791,531,897,812,029,059,915,447,912,390,
471,088,054,227,669,232,780,099,253,350,879,639,410,234,062,764,573,382,195,
822,173,275,755,222,002,169,427,555,015,137,271,053,648,205,807,264,333,077,
159,028,101,199,256,751,583,619,309,022,569,250,058,841,735,405,583,031,301,
650,605,015,293,432,255,420,370,623,495,251,448,970,748,704,998,183,040,536,
804,169,069,785,490,982,978,150,822,035,731,644,935,956,025,625,080,131,393,
165,922,912,206,167,786,664,062,060,151,477,590,306,656,631,983,605,607,388,
058,965,711,654,100,491,363,722,084,080,803,352,478,038,214,845,329,347,791,
048,036,835,303,457,748,526,082,510,732,332,238,210,765,711,591,318,710,712,
947,105,493,713,454,170,211,187,760,654,633,250,977,086,982,994,829,287,577,
845,761,096,737,413,138,291,350,089,189,638,216,362,708,896,179,689,313,890,
409,058,949,514,952,473,243,984,101,632,311,185,841,613,782,433,351,705,876,
597,062,444,727,903,465,673,578,394,039,861,603,445,629,646,627,866,123,709,
864,013,430,866,996,442,943,911,328,575,407,910,764,291,155,933,903,827,245,
439,169,903,594,312,196,437,211,381,754,275,605,883,879,352,146,063,052,439,
055,282,537,549,305,544,301,134,075,994,212,456,009,049,077,750,397,107,108,
495,296,108,568,950,483,535,343,074,489,386,864,808,868,923,425,172,881,429,
760,210,777,708,108,251,706,505,160,493,146,041,973,510,875,645,439,650,538,
243,408,780,655,650,708,052,360,788,294,616,425,146,487,027,480,207,207,236,
947,023,258,406,756,072,225,458,849,291,370,781,508,692,726,845,469,065,171,
977,072,564,005,385,128,635,304,742,932,254,596,036,642,871,826,449,962,748,
996,570,176,822,138,245,809,994,581,354,092,834,295,698,349,153,061,974,699,
861,683,397,970,460,700,924,918,733,752,485,178,066,904,544,582,400,583,924,
670,435,962,110,547,814,487,227,156,186,555,697,701,838,153,736,514,559,022,
894,727,806,551,795,695,625,718,532,491,645,742,365,865,913,402,219,752,450,
367,037,034,005,975,869,090,735,076,428,068,792,214,496,069,004,221,248,776,
272,809,660,508,478,464,971,692,591,818,177,789,660,097,348,025,223,857,166,
204,859,180,112,534,149,799,972,904,917,062,208,743,822,171,833,772,934,255,
112,315,562,749,246,986,463,262,086,202,417,170,691,547,922,840,833,822,104,
897,656,215,503,946,692,322,961,740,821,817,122,969,621,349,936,284,001,357,
380,940,280,805,362,095,748,856,016,116,337,454,881,879,348,356,153,459,829,
284,283,426,294,789,942,831,389,254,265,768,195,097,615,088,607,590,952,155,
389,232,407,592,686,141,246,814,582,691,413,929,226,717,103,922,449,144,825,
582,033,973,918,454,327,432,598,617,584,162,234,296,813,740,207,957,143,217,
106,006,158,071,733,988,218,174,296,589,710,535,048,202,316,757,993,639,657,
281,149,771,256,159,591,759,478,020,245,980,395,443,345,739,914,577,481,429,
236,961,843,791,513,480,660,873,485,074,342,425,659,383,363,659,909,271,130,
444,613,408,012,057,242,058,479,634,254,432,377,375,948,051,469,906,790,190,
791,503,234,853,126,600,671,164,909,612,816,863,978,191,084,547,121,567,455,
636,654,615,630,917,832,808,009,126,388,904,656,630,845,313,082,817,615,024,
691,289,720,798,595,050,466,811,207,033,162,673,702,343,642,456,641,218,512,
340,666,755,569,318,110,736,143,967,362,352,640,318,823,273,619,817,226,991,
220,522,274,480,869,367,665,842,468,207,796,608,898,621,927,990,502,946,956,
169,399,303,418,325,694,955,518,261,126,677,539,248,499,668,989,579,296,186,
055,387,765,358,471,474,378,935,585,793,657,487,094,989,415,336,050,474,127,
353,049,700,295,856,553,473,648,667,374,645,308,692,915,056,324,341,843,201,
555,900,142,952,123,757,909,066,313,383,455,407,605,192,936,192,338,893,327,
681,898,099,799,134,798,927,413,139,932,980,557,756,981,174,327,048,150,839,
196,874,077,917,506,220,068,994,918,496,148,011,234,149,369,744,006,639,848,
115,262,051,072,867,019,418,691,713,692,969,646,216,719,707,934,641,675,233,
149,031,015,044,309,091,003,669,658,512,462,087,409,908,343,474,649,486,713,
147,633,705,587,471,581,223,308,862,087,375,156,291,539,563,774,520,372,138,
647,610,714,885,865,003,816,760,770,199,677,023,539,576,919,666,579,394,057,
086,153,431,714,074,138,843,141,032,700,538,194,851,957,634,633,826,226,556,
180,362,396,325,551,984,561,259,249,592,791,047,912,423,791,148,041,419,965,
230,067,809,114,200,948,826,681,551,401,090,069,081,327,149,370,271,658,520,
734,802,660,103,660,212,917,862,292,349,351,177,309,051,870,921,772,237,248,
227,624,704,272,041,035,295,506,835,076,430,792,744,745,617,471,850,639,675,
297,165,361,959,391,143,949,651,702,508,626,541,308,290,813,371,655,675,397,
428,660,969,585,763,645,806,069,005,288,025,834,497,002,679,349,654,738,548,
689,290,431,712,256,553,817,712,729,514,191,828,737,432,795,322,070,922,214,
750,887,143,718,052,547,649,348,013,173,870,116,005,650,818,614,542,747,522,
547,493,300,060,633,538,048,532,161,379,126,467,310,227,486,238,872,782,883,
566,364,603,256,058,001,548,709,752,029,067,519,865,543,307,519,824,919,807,
034,898,587,314,113,471,361,665,249,446,574,240,137,657,972,893,456,539,122,
322,331,103,913,281,121,222,271,376,535,551,854,201,480,903,703,095,896,885,
649,577,403,255,406,863,014,039,946,864,837,753,926,841,438,751,272,339,496,
869,878,366,154,827,347,065,760,939,762,732,348,321,555,083,894,026,506,359,
672,159,057,374,635,824,589,971,864,469,461,820,855,116,469,309,048,503,578,
484,159,021,574,108,202,470,511,032,397,653,275,666,098,535,501,031,808,306,
261,343,815,953,643,527,349,272,174,286,811,691,553,650,005,529,412,035,804,
848,054,864,968,618,827,257,315,841,039,790,095,861,541,122,792,462,572,317,
844,224,497,806,155,372,101,076,415,081,244,228,391,959,577,248,661,039,274,
945,553,076,107,400,665,327,993,573,213,693,020,972,457,392,769,057,779,976,
054,974,002,036,998,671,695,021,840,597,134,285,710,970,119,977,052,459,214,
214,172,943,045,793,094,488,258,475,730,396,995,353,800,649,470,976,421,025,
799,930,218,635,771,364,347,908,239,574,360,142,377,082,750,665,970,642,619,
032,845,778,848,749,774,948,869,891,433,755,478,052,286,057,268,721,773,010,
547,329,125,414,095,357,016,718,898,893,179,742,290,778,877,009,615,153,782,
918,770,727,946,351,337,591,952,074,023,984,361,435,549,516,202,729,097,714,
101,495,847,199,842,298,351,814,521,095,139,147,451,926,617,344,840,861,528,
389,036,378,730,945,159,537,489,372,093,687,673,218,349,216,969,505,956,110,
965,702,907,201,018,054,852,642,502,971,260,512,547,111,904,791,989,326,169,
407,475,936,992,320,529,011,167,922,018,070,625,572,010,008,519,045,233,987,
504,424,863,861,408,923,075,724,648,958,166,489,675,531,063,763,356,522,974,
008,110,210,026,980,886,035,444,448,435,659,821,883,977,490,497,944,034,834,
976,479,492,944,054,369,192,081,671,199,816,197,591,560,220,008,512,834,416,
431,657,357,758,561,207,160,661,687,229,089,918,846,176,611,738,513,301,021,
242,788,995,978,316,283,811,570,171,516,254,246,054,741,843,393,671,852,250,
520,663,228,587,457,341,770,056,092,043,206,930,114,045,339,793,568,717,378,
999,579,383,739,330,660,984,556,862,729,701,114,327,591,867,148,716,933,166,
452,653,279,431,419,908,726,063,751,551,316,229,099,807,321,056,280,005,342,
919,447,850,569,432,688,066,374,396,725,949,018,392,740,120,788,854,937,727,
477,532,066,749,568,181,335,626,475,518,831,186,149,327,632,920,322,420,067,
076,719,830,544,078,601,776,294,170,976,903,195,818,681,358,979,702,142,900,
996,834,513,994,934,906,041,642,989,907,182,024,406,692,411,918,362,359,068,
771,937,429,678,141,741,668,675,062,721,070,222,742,738,444,487,322,382,684,
279,865,177,861,501,592,830,117,612,639,393,039,008,111,478,292,785,987,985,
249,817,757,304,392,929,771,600,875,059,601,890,351,785,146,823,432,295,216,
516,587,506,333,283,468,396,743,300,364,086,967,175,647,620,221,400,574,852,
232,340,714,041,700,262,536,551,902,060,148,804,094,734,716,391,690,517,182,
882,284,939,074,877,066,564,985,565,285,415,319,529,300,766,843,381,494,919,
150,598,635,799,233,910,352,325,171,316,792,785,818,549,300,535,133,656,361,
128,161,225,753,366,308,293,414,031,565,214,076,476,503,274,157,421,097,697,
365,503,344,921,817,661,291,210,484,468,000,820,711,092,378,101,879,240,242,
637,377,313,939,896,009,471,630,043,022,143,726,745,871,854,976,007,972,000,
696,602,382,450,737,559,568,187,475,114,435,783,230,319,809,653,659,528,967,
094,460,384,320,688,664,502,155,544,186,530,319,206,318,734,088,225,721,393,
742,807,027,834,320,168,946,509,804,998,062,742,187,767,216,116,858,372,978,
941,725,814,871,389,179,183,537,130,033,647,953,877,786,317,273,450,730,749,
159,956,558,677,827,664,006,401,138,311,120,158,763,682,842,458,385,292,964,
872,090,881,930,210,542,564,293,140,529,439,635,858,833,883,446,015,206,167,
878,397,984,261,934,530,302,146,629,953,622,125,574,321,126,301,631,689,231,
038,441,758,875,015,579,021,932,272,986,241,815,028,815,843,478,651,986,444,
971,626,331,819,691,563,016,344,439,038,927,611,162,386,799,644,373,728,204,
370,861,816,479,628,723,780,328,777,762,434,506,257,741,079,939,909,089,086,
637,513,703,379,540,641,894,847,719,365,878,118,304,750,725,324,925,894,734,
076,915,013,902,274,130,936,672,069,418,060,969,514,218,655,591,072,739,921,
770,201,179,497,973,096,861,932,340,522,835,079,208,267,363,930,967,105,714,
793,841,568,278,187,556,416,468,974,342,098,708,005,668,672,892,664,791,952,
005,685,826,997,446,488,641,456,550,549,673,185,958,222,535,632,448,844,758,
918,492,136,432,974,569,553,049,852,189,226,348,663,257,319,148,799,520,563,
038,056,313,883,551,244,605,742,137,806,342,802,613,343,638,843,109,737,367,
787,013,641,750,437,209,717,603,659,463,371,086,687,463,879,401,533,577,211,
221,281,868,737,723,138,938,731,593,620,115,712,073,427,033,411,187,479,560,
749,908,357,104,974,078,048,157,688,840,833,726,687,590,263,103,000,724,598,
960,522,647,565,533,451,100,784,894,551,393,851,840,506,468,511,297,548,549,
988,253,497,891,516,120,864,264,377,363,983,751,125,682,857,877,893,995,956,
104,346,254,534,491,072,376,949,682,933,601,489,744,194,277,353,001,361,832,
444,621,268,826,101,216,951,841,088,009,323,069,326,171,520,670,132,083,475,
606,242,310,046,238,876,152,293,528,030,870,164,963,327,791,539,251,733,373,
267,832,200,090,862,940,881,476,461,762,218,437,852,587,125,880,075,818,540,
972,264,611,102,116,346,178,193,824,142,303,748,593,160,868,727,871,911,098,
271,864,006,210,352,337,185,809,023,348,916,029,268,031,973,651,859,021,425,
625,796,680,493,161,599,771,008,854,999,411,571,934,882,508,559,903,549,989,
939,375,525,989,441,141,730,488,585,411,726,170,618,245,093,159,246,571,315,
720,145,226,560,759,500,569,096,864,806,141,581,600,983,400,742,417,878,528,
991,252,024,339,284,958,049,305,904,729,755,590,298,828,641,526,279,031,806,
207,438,959,280,281,656,434,941,907,024,199,979,313,143,139,235,875,917,847,
411,630,954,804,727,028,905,756,492,303,046,965,422,145,009,157,175,027,317,
023,321,828,134,866,681,773,400,521,005,022,537,800,980,839,770,227,641,301,
565,405,414,482,156,604,282,839,740,934,923,810,451,021,611,043,027,110,655,
501,462,291,521,259,689,264,251,838,272,937,986,709,169,661,199,331,654,855,
036,465,457,734,045,227,342,272,874,750,902,480,642,273,282,449,676,103,423,
410,961,861,962,421,410,376,700,169,766,730,281,194,513,930,219,340,468,152,
369,810,993,567,590,972,504,156,763,116,048,120,280,700,543,894,782,019,566,
105,086,184,452,343,972,994,222,990,643,990,042,945,074,310,990,323,105,813,
202,778,884,680,916,671,320,557,112,579,387,954,329,520,390,852,803,175,427,
399,765,136,716,755,929,311,164,985,528,461,593,345,607,056,938,778,829,891,
748,187,097,398,947,894,522,888,271,308,708,398,268,560,775,944,361,813,783,
274,430,993,614,505,406,121,440,797,553,481,175,517,752,542,183,902,323,693,
726,580,775,621,591,846,713,621,536,564,630,826,220,256,864,983,249,301,127,
587,648,532,589,831,979,812,341,616,611,181,047,116,422,851,403,407,115,166,
060,453,896,783,411,182,705,372,768,742,111,900,018,555,720,547,475,206,127,
922,447,575,406,964,131,699,157,002,251,675,522,615,208,030,101,661,409,527,
989,897,933,724,045,348,991,748,777,282,467,922,402,605,971,538,579,771,621,
347,135,785,460,283,909,927,363,325,089,458,792,077,148,002,978,931,947,658,
584,999,467,249,967,369,859,600,223,058,047,412,390,092,505,212,374,558,040,
532,330,592,227,335,324,175,351,089,763,653,835,511,995,011,459,242,363,571,
125,833,675,969,269,014,058,846,035,999,395,685,981,303,584,153,422,947,551,
973,892,483,610,022,784,258,973,197,897,913,885,848,231,753,819,322,850,223,
471,980,515,492,104,339,628,517,244,315,032,801,313,042,032,187,853,645,774,
853,720,297,277,047,436,330,808,389,279,317,301,795,747,312,325,446,076,760,
487,080,867,547,303,849,559,961,116,718,248,689,191,972,572,491,040,726,656,
823,368,651,109,419,374,200,577,489,478,200,171,423,435,866,876,655,285,733,
936,137,164,047,882,437,004,935,007,014,899,412,733,463,277,095,355,061,549,
379,318,783,013,851,161,399,275,027,386,119,804,515,224,753,239,987,965,636,
415,684,503,479,232,687,364,951,811,480,265,024,494,215,494,692,722,534,274,
845,689,347,165,034,675,672,924,222,218,428,249,362,895,722,489,911,392,476,
398,113,509,745,923,969,799,631,717,804,296,249,282,529,999,979,022,749,091,
435,309,296,620,719,732,182,040,324,654,750,120,505,646,800,227,174,770,501,
700,572,999,612,255,100,727,811,190,888,036,044,400,727,272,720,267,478,610,
986,065,535,102,907,177,944,074,130,397,910,413,595,726,926,824,525,466,034,
009,329,984,663,138,920,081,956,210,426,138,976,387,420,180,164,545,989,986,
297,944,351,740,434,035,315,713,529,552,384,669,899,284,594,179,063,256,311,
017,575,156,985,240,352,610,326,662,603,135,277,814,925,526,893,407,166,406,
804,280,312,510,438,645,045,299,467,288,048,391,415,179,671,844,824,290,125,
743,454,295,802,306,663,050,753,541,264,256,084,254,903,981,247,034,118,716,
559,452,727,156,877,627,873,692,628,970,436,928,545,967,540,665,631,998,668,
223,952,270,196,277,478,360,275,278,996,211,196,772,731,933,268,890,934,582,
780,212,879,364,085,541,965,859,361,978,107,421,938,966,147,254,891,603,623,
044,964,066,213,248,408,182,145,079,612,311,456,574,658,537,927,132,958,118,
585,230,342,384,472,100,850,936,014,787,622,963,475,521,399,213,518,726,887,
577,131,081,897,157,293,097,037,913,697,732,168,613,566,022,197,141,976,558,
370,847,899,360,173,328,405,795,714,121,461,852,809,302,698,827,590,003,635,
726,157,020,528,665,793,146,987,406,966,236,433,831,769,377,116,112,828,259,
725,935,340,886,037,331,967,913,108,004,715,433,637,905,849,193,163,151,836,
951,814,452,544,578,215,251,920,657,833,827,999,838,032,218,414,648,900,397,
966,266,207,784,818,768,522,998,182,477,336,285,066,001,457,567,744,092,967,
619,504,091,203,131,569,123,188,179,830,239,330,819,002,137,545,215,718,020,
104,816,552,460,454,165,358,199,015,488,025,071,262,755,110,259,037,783,021,
923,744,635,654,144,672,705,562,156,337,889,385,177,490,408,474,444,499,481,
175,359,571,766,168,814,940,079,754,825,648,487,590,584,762,895,599,838,836,
956,261,068,127,979,599,382,184,306,047,842,851,383,198,318,920,285,900,984,
770,215,527,829,769,104,836,010,410,778,258,680,012,682,167,420,139,416,185,
550,876,364,457,341,587,660,523,961,917,745,017,325,961,818,024,209,893,379,
524,713,067,055,749,599,405,955,501,202,911,260,519,733,069,563,554,069,308,
372,877,966,340,390,484,020,208,486,089,978,179,614,249,401,153,547,886,305,
170,640,750,030,865,438,550,503,107,507,479,274,365,355,082,447,166,243,172,
836,920,017,130,758,598,248,963,283,935,778,125,167,497,406,446,619,247,953,
689,006,863,336,916,453,474,955,116,875,453,748,014,157,089,326,908,560,963,
446,141,551,938,541,847,453,772,504,080,558,676,698,294,898,350,784,857,010,
499,024,384,417,759,167,750,997,393,114,378,324,840,415,401,689,264,402,251,
090,776,852,610,891,472,606,318,030,899,354,129,452,902,110,230,886,120,809,
349,469,302,248,393,579,954,624,892,034,587,222,195,111,211,647,329,570,109,
546,621,121,189,599,430,043,748,700,182,803,791,063,152,906,622,141,217,555,
981,967,816,755,821,671,141,753,751,850,364,024,032,165,917,306,980,821,815,
091,353,497,173,555,202,799,202,226,123,396,892,601,066,122,756,071,605,983,
435,728,457,801,502,507,117,173,269,334,984,600,147,640,747,485,357,449,429,
737,195,111,438,256,527,246,647,424,274,237,347,806,607,151,825,191,625,027,
847,926,457,240,137,637,865,993,132,260,141,793,469,505,685,415,387,728,896,
985,985,928,198,040,083,025,335,261,525,716,306,503,571,335,715,344,760,941,
831,943,102,603,368,179,516,414,000,855,356,186,926,745,480,658,083,833,491,
535,489,943,438,385,870,911,632,036,290,383,575,047,423,805,012,719,771,945,
372,340,958,975,671,741,776,344,004,062,530,050,528,244,633,746,624,759,347,
030,551,708,038,257,076,544,216,269,113,108,141,252,071,980,298,419,695,027,
267,915,570,103,567,188,111,866,845,179,454,565,687,277,255,105,598,381,609,
102,294,205,077,724,252,137,294,688,288,776,907,491,477,864,716,829,917,982,
246,932,665,395,071,644,913,363,272,590,152,925,622,978,912,408,208,571,368,
344,539,710,387,256,203,215,752,803,523,438,366,579,242,444,251,070,552,981,
060,444,266,637,797,388,026,426,725,804,848,604,521,198,175,088,432,835,451,
992,449,059,535,779,602,698,682,214,544,458,309,251,505,268,546,342,886,714,
831,534,917,460,177,288,377,949,776,447,089,046,940,393,311,647,238,141,579,
416,782,550,455,831,029,143,212,134,144,546,174,379,533,603,895,025,529,716,
776,841,834,527,502,411,923,864,412,228,208,091,470,056,442,381,469,591,341,
453,757,374,319,648,891,578,997,854,011,491,504,466,072,350,686,494,942,052,
328,656,437,396,659,895,210,157,588,567,752,684,137,281,474,951,460,510,830,
074,591,729,906,148,901,473,639,810,467,400,547,643,018,861,965,256,835,330,
925,512,486,999,643,378,650,059,123,621,111,256,968,993,975,712,222,581,637,
581,704,893,426,700,244,197,845,351,886,490,899,404,776,680,943,102,093,651,
332,889,591,204,198,552,784,540,848,208,245,086,224,122,331,693,319,755,817,
115,297,300,417,982,544,774,698,515,077,352,144,577,757,735,271,319,251,103,
377,397,706,520,140,788,949,562,580,987,534,633,066,399,797,964,876,797,707,
212,276,318,058,277,828,155,218,055,135,288,522,846,937,783,012,260,612,095,
658,550,277,399,270,030,476,288,035,220,323,864,797,782,827,053,827,237,601,
429,213,372,302,490,260,546,503,220,173,469,753,824,450,541,081,989,492,520,
519,326,638,181,926,846,360,606,504,222,667,896,114,432,362,039,492,784,045,
048,793,222,112,998,121,614,543,826,035,852,677,963,821,324,164,163,978,645,
811,310,148,605,602,417,002,919,613,043,455,579,354,750,943,556,624,679,825,
783,194,543,868,994,370,967,425,835,231,647,788,064,080,158,167,624,011,370,
345,700,764,558,879,163,682,229,961,479,812,009,056,989,569,505,145,210,828,
022,607,870,079,479,202,232,619,898,108,630,474,539,972,186,016,252,454,302,
175,931,079,865,179,296,093,488,488,715,183,339,160,801,829,745,936,528,127,
358,912,826,339,660,783,001,454,477,652,959,487,850,002,492,253,215,528,005,
737,074,447,481,802,935,183,517,373,992,303,108,502,185,224,735,514,322,404,
314,338,032,994,075,263,712,679,422,977,207,883,343,860,330,107,082,747,221,
066,777,117,626,295,338,727,825,983,328,245,251,973,825,158,873,478,293,717,
600,464,827,460,015,468,938,894,453,642,692,036,753,233,224,047,492,685,049,
528,793,445,488,401,258,514,291,127,600,769,691,542,276,686,288,596,996,183,
175,115,101,035,849,860,672,111,471,943,266,338,894,707,167,233,367,242,830,
632,805,229,091,799,782,434,533,163,920,155,635,565,970,472,542,302,333,591,
502,395,736,469,862,455,222,860,326,826,112,343,017,691,682,201,881,478,468,
577,185,048,692,644,786,138,982,724,039,380,300,495,508,345,017,929,993,834,
503,601,648,549,322,017,367,444,638,135,785,234,938,251,439,318,366,962,101,
284,576,116,925,874,364,441,554,202,825,435,182,721,437,154,595,991,128,594,
584,745,175,413,393,871,569,727,637,161,248,529,580,902,659,490,261,491,972,
892,872,470,473,396,908,354,535,398,949,100,683,366,406,135,592,654,967,837,
351,179,458,611,411,102,517,409,732,148,620,662,256,263,087,217,863,649,002,
185,217,953,161,258,225,024,771,577,498,644,227,413,250,994,820,542,313,120,
535,240,690,367,330,458,259,598,953,623,241,610,804,462,888,012,926,059,847,
327,589,107,656,772,342,603,336,686,559,196,828,042,489,946,591,894,663,016,
221,995,406,091,871,798,092,429,786,702,846,787,381,762,516,967,441,547,273,
835,736,807,895,538,250,485,435,715,411,939,650,842,775,747,048,856,308,424,
417,283,218,578,843,052,812,903,401,405,720,763,095,199,434,438,966,945,785,
528,565,076,385,156,884,772,445,331,296,850,764,725,409,036,179,481,917,072,
057,187,827,581,357,657,150,306,416,544,136,842,540,898,449,702,872,013,069,
636,374,361,275,481,633,424,995,718,540,985,471,103,175,559,085,990,028,132,
595,762,578,504,429,353,853,180,362,096,704,295,652,840,377,850,957,976,618,
134,299,561,237,014,252,585,714,999,939,308,120,638,362,264,272,857,878,387,
022,822,857,778,858,582,982,850,778,989,381,968,942,778,471,944,805,469,426,
096,531,630,314,613,891,470,044,906,915,651,722,429,312,610,466,397,786,194,
792,470,452,320,814,071,768,121,257,478,325,606,766,922,311,279,179,324,021,
921,587,029,274,298,633,830,363,773,110,657,484,841,899,253,690,169,084,885,
745,830,407,925,937,987,684,259,023,940,233,100,631,898,308,359,583,564,614,
099,601,322,113,742,449,708,499,408,012,477,201,377,968,982,312,669,810,171,
716,237,958,426,724,769,084,696,639,974,972,857,126,015,423,427,249,082,544,
049,723,094,394,508,884,968,362,479,874,558,608,771,166,153,688,639,721,410,
898,471,451,327,681,626,741,028,967,624,453,484,498,297,377,052,386,352,939,
048,676,242,522,500,142,554,069,200,136,080,228,017,793,222,847,100,587,952,
252,679,086,464,973,912,317,555,395,670,750,563,134,662,831,990,069,418,052,
951,712,991,737,900,864,257,507,012,691,902,313,257,919,648,014,736,900,424,
583,953,361,582,885,553,861,488,979,562,691,606,430,256,759,483,825,842,082,
202,557,231,337,626,677,947,736,232,848,226,191,236,765,986,963,323,992,505,
378,352,480,623,156,799,796,919,187,662,337,699,443,451,178,981,059,098,699,
058,575,997,945,300,778,406,741,310,947,467,542,918,883,529,136,867,834,147,
375,754,107,941,046,534,801,598,308,078,610,972,505,164,440,331,617,844,670,
323,498,714,533,405,930,479,759,141,962,446,776,161,865,943,058,477,857,407,
709,601,207,241,940,564,989,144,477,226,962,077,998,865,495,507,993,092,094,
012,579,980,279,618,305,157,754,601,273,263,513,503,357,943,572,951,334,048,
905,472,045,874,582,728,715,665,966,719,168,850,117,878,393,393,831,542,545,
588,489,480,561,926,954,144,180,183,350,186,058,308,099,271,990,745,327,899,
112,240,711,053,506,251,765,883,124,500,600,437,357,927,532,652,874,989,275,
487,850,202,060,069,123,255,655,009,120,995,547,509,561,102,929,375,548,564,
476,874,423,153,171,336,127,688,134,859,671,161,689,861,941,254,930,802,178,
873,564,944,226,152,661,458,873,485,928,553,311,869,003,050,077,829,799,033,
456,996,340,771,518,531,054,797,655,833,383,187,216,588,143,375,711,523,236,
891,808,361,682,879,037,308,779,005,455,529,046,170,782,186,430,086,924,858,
224,288,797,757,637,694,284,968,970,309,791,223,946,293,399,795,660,829,538,
569,314,911,758,420,736,420,024,243,797,632,602,030,261,127,936,672,265,789,
589,706,013,235,599,046,031,793,966,905,332,792,407,698,349,552,579,966,481,
611,443,612,679,719,860,225,659,096,300,821,807,096,380,415,517,650,732,194,
127,058,106,063,381,431,070,775,781,248,872,177,763,964,558,718,000,481,095,
710,437,647,533,457,347,455,229,583,553,405,438,865,006,148,418,260,406,927,
595,075,900,952,516,328,291,905,083,297,771,895,560,385,485,465,036,914,269,
538,174,090,049,428,577,215,091,924,238,869,039,886,469,826,216,638,444,647,
364,033,084,614,788,658,048,752,338,613,986,522,374,206,536,269,093,261,145,
137,806,634,880,908,258,143,324,507,563,286,961,555,232,856,363,313,210,441,
151,923,197,757,582,490,822,172,902,779,781,537,585,138,182,452,987,320,652,
583,455,640,605,691,701,319,526,193,161,430,273,268,947,163,958,182,629,968,
013,408,952,656,818,583,506,733,694,882,121,891,129,767,540,607,363,299,825,
704,601,265,529,143,720,899,484,897,700,057,650,283,331,217,658,793,993,509,
969,642,989,183,904,191,101,612,927,576,029,593,389,309,087,108,132,281,077,
970,945,807,778,420,843,384,663,450,256,175,986,961,401,191,560,951,941,067,
414,787,920,478,847,916,155,334,500,237,197,402,836,256,495,491,259,497,273,
541,297,962,534,786,570,745,289,740,000,939,321,505,859,276,645,759,949,362,
698,785,492,393,910,535,640,931,700,544,060,921,503,447,659,763,066,221,199,
989,629,104,261,920,885,415,783,684,671,063,328,084,516,124,459,991,768,968,
566,072,825,455,580,244,501,849,418,289,804,571,538,579,330,438,859,979,192,
743,637,615,783,895,014,829,548,629,568,369,420,498,906,478,168,344,315,053,
054,283,358,423,178,505,376,001,177,893,577,766,517,831,531,934,915,759,895,
741,135,746,238,373,525,515,057,413,980,619,620,053,897,772,511,433,189,462,
566,268,606,499,447,172,164,021,795,795,936,883,604,644,390,968,529,573,114,
338,683,020,095,645,740,906,933,342,233,164,520,205,565,646,335,058,581,716,
019,807,800,461,799,777,149,718,075,074,829,895,891,188,547,751,676,284,832,
009,284,887,382,932,861,110,485,626,555,873,415,036,661,397,539,956,342,372,
824,155,669,890,414,022,638,011,807,470,066,191,856,311,613,196,632,495,249,
724,192,806,796,353,028,527,341,845,821,750,068,544,792,155,857,454,600,018,
854,832,235,510,715,418,324,222,921,101,009,404,506,678,103,435,619,812,755,
199,692,625,608,711,169,158,197,647,280,099,598,240,875,185,638,202,647,761,
919,379,632,794,864,880,480,712,989,243,764,793,860,635,662,641,302,113,646,
339,345,831,006,798,338,854,226,195,334,751,252,892,612,920,089,446,946,789,
541,114,871,311,398,529,828,247,186,059,864,627,762,842,500,647,725,602,385,
038,562,193,716,328,247,355,385,801,170,206,294,504,995,495,923,022,541,290,
985,840,204,711,756,728,372,860,824,285,386,383,371,039,620,303,361,669,892,
546,428,849,392,329,214,213,521,228,233,695,635,794,400,093,775,422,951,760,
550,294,557,325,643,430,982,156,574,263,066,587,163,283,179,066,271,065,869,
591,375,120,177,549,349,367,198,598,928,768,543,638,049,128,892,182,111,080,
062,275,695,933,692,533,309,866,642,052,470,783,013,198,818,382,073,091,909,
801,123,932,367,730,660,335,805,457,789,697,299,811,181,255,304,789,731,509,
797,632,280,438,247,392,379,469,108,961,980,700,342,741,763,715,106,622,148,
238,098,386,746,222,506,623,507,120,394,305,799,289,608,183,068,695,471,855,
699,946,357,647,271,959,593,243,925,031,985,140,921,868,123,540,553,726,719,
751,247,487,073,817,916,661,657,242,032,475,786,033,466,323,977,664,020,441,
308,966,277,462,085,921,972,572,944,272,325,318,833,364,140,310,044,844,764,
690,541,222,535,378,867,764,387,355,518,794,519,263,000,982,977,461,402,745,
250,343,913,119,363,924,221,340,878,164,080,419,760,138,139,316,585,389,111,
456,545,930,417,170,313,257,531,536,795,969,886,292,607,423,390,617,529,027,
186,057,662,704,693,514,707,966,444,418,458,693,520,393,299,090,132,392,531,
419,372,925,157,111,988,228,943,363,564,455,988,160,866,445,985,805,648,576,
672,169,945,786,914,891,841,453,300,336,089,584,386,229,330,709,893,516,957,
118,071,824,302,026,010,772,841,755,119,045,952,486,404,409,489,892,186,023,
363,552,755,017,004,557,535,228,271,162,648,768,902,164,745,058,496,992,642,
556,988,276,150,414,020,335,384,101,913,521,085,802,746,188,965,144,045,786,
512,133,661,163,757,457,800,117,208,744,051,570,826,415,153,144,890,326,668,
137,286,760,980,078,629,026,503,894,562,080,709,550,915,383,625,302,824,476,
262,772,477,291,363,163,941,203,904,337,260,963,559,898,340,353,142,063,314,
794,662,529,527,830,652,602,763,784,540,316,404,279,982,929,519,998,016,148,
218,406,996,498,469,973,895,072,170,373,892,621,051,509,852,903,015,037,012,
478,420,641,532,048,834,595,475,232,277,313,677,249,851,465,103,701,794,731,
969,480,376,445,184,543,126,781,943,695,384,903,868,646,758,512,458,962,441,
551,866,990,460,926,822,687,220,058,006,003,691,645,937,590,152,113,325,639,
728,015,984,666,231,489,550,572,560,718,273,368,507,362,090,918,161,708,161,
523,859,986,815,179,483,945,648,056,040,154,183,483,499,618,367,499,621,194,
709,538,509,919,624,563,747,822,139,224,275,176,115,525,875,277,430,266,032,
450,914,223,956,427,763,829,288,951,356,284,645,121,208,692,075,434,989,483,
910,634,801,560,491,253,309,688,935,043,071,099,107,470,905,445,814,918,569,
881,506,938,154,938,827,270,781,128,748,295,242,089,323,201,080,010,534,142,
258,600,408,751,252,738,466,501,446,668,509,825,637,300,636,631,621,168,271,
611,734,847,052,778,241,344,893,141,373,168,608,252,412,927,179,416,015,244,
606,636,842,838,668,177,945,506,150,098,529,291,943,808,847,959,906,643,069,
852,311,275,755,966,089,150,437,390,765,773,414,714,031,403,578,192,989,099,
960,345,633,741,918,583,375,690,942,212,461,300,102,945,026,795,776,393,989,
544,426,746,595,454,526,883,455,682,733,975,682,776,310,475,159,182,096,482,
531,654,044,522,034,616,728,148,076,162,227,755,857,392,579,762,395,715,379,
029,786,487,385,022,486,773,609,494,277,458,257,937,191,587,464,068,677,904,
180,799,433,021,685,953,165,523,838,126,334,249,053,631,629,340,371,529,027,
795,537,191,028,521,457,405,388,371,111,267,087,909,980,695,692,949,650,276,
872,511,701,680,071,336,735,061,008,351,797,204,710,348,604,012,742,293,345,
567,469,998,042,212,566,198,193,626,024,452,084,306,162,838,734,941,413,037,
887,826,049,953,424,846,132,478,555,137,018,242,498,029,299,829,121,167,286,
003,026,492,581,430,826,579,160,704,033,801,134,378,911,061,162,569,712,878,
179,438,215,726,837,230,944,138,550,516,476,059,300,015,516,377,892,579,448,
553,860,873,722,277,360,420,061,378,818,184,293,985,244,709,057,517,704,987,
999,451,958,750,320,538,329,507,085,519,004,446,618,197,603,223,201,058,076,
561,180,731,851,569,613,781,978,593,871,946,720,256,223,191,789,091,476,489,
421,028,625,929,938,558,171,679,257,555,401,088,046,714,848,990,289,926,239,
986,229,133,084,310,143,261,221,958,774,039,859,116,357,977,560,368,887,452,
636,287,479,388,586,678,632,977,330,303,983,254,563,268,759,074,204,818,857,
148,182,582,450,204,810,884,274,718,899,658,977,000,481,336,018,124,583,275,
508,572,903,496,353,892,634,090,470,023,586,824,602,346,157,086,870,997,193,
826,907,242,660,424,042,546,518,756,377,262,499,499,118,656,347,342,879,948,
313,594,358,564,691,654,367,324,088,054,087,797,206,975,726,126,301,561,637,
680,577,722,866,109,289,599,099,552,064,587,019,186,367,301,727,047,164,308,
604,260,429,187,762,663,716,768,073,918,411,417,535,660,350,878,966,733,785,
236,851,386,668,390,531,239,725,630,873,315,093,665,950,541,752,648,800,515,
132,296,575,093,222,344,132,626,436,386,508,670,060,996,153,068,391,615,355,
483,103,224,793,901,090,892,959,131,519,539,891,071,358,377,343,381,593,056,
190,972,644,277,419,744,311,372,672,792,386,737,443,171,267,256,946,781,191,
314,576,757,057,028,638,950,078,591,778,680,021,154,542,043,668,995,884,424,
969,759,440,759,868,415,706,681,768,035,518,000,876,683,797,551,516,942,737,
807,709,242,466,204,797,144,436,317,029,665,938,116,764,875,318,025,163,710,
610,901,474,595,240,331,557,624,189,570,183,906,256,831,486,042,750,205,910,
580,495,475,898,103,716,445,381,190,902,536,813,188,164,658,641,547,525,987,
661,157,950,509,770,371,186,426,088,124,969,708,780,597,785,300,235,846,237,
904,603,511,658,352,045,923,704,348,025,305,447,524,322,372,556,666,727,780,
901,425,467,524,782,910,333,588,046,406,062,203,739,697,069,906,410,731,798,
681,715,544,908,822,260,828,209,966,255,885,414,474,274,078,630,114,296,120,
007,899,939,101,348,828,728,207,214,663,214,743,268,450,974,235,380,997,496,
204,881,213,311,915,289,033,307,148,418,680,150,121,621,763,410,482,053,127,
361,094,629,424,481,387,527,530,401,108,284,024,887,154,607,326,647,924,034,
506,181,325,853,461,640,461,463,552,052,995,179,909,800,931,709,176,260,045,
200,233,623,180,104,476,393,432,767,422,241,218,312,725,651,374,233,351,591,
501,271,919,528,461,756,206,525,784,893,477,577,576,115,761,970,807,027,144,
320,345,287,749,709,885,831,979,070,060,898,178,160,624,739,387,196,128,326,
234,048,988,536,454,384,332,128,955,273,387,966,741,107,532,819,223,339,976,
910,185,696,165,987,699,573,258,180,831,518,302,607,121,062,375,711,790,124,
729,792,138,131,557,801,256,754,277,959,184,147,926,189,592,446,462,873,143,
370,741,021,604,861,280,852,785,860,113,901,878,141,950,532,905,235,461,088,
893,882,569,871,929,506,390,427,975,984,107,248,004,219,975,468,118,307,851,
234,833,798,853,792,171,031,259,991,512,649,095,135,657,119,536,031,038,295,
894,315,535,791,388,003,535,830,719,875,518,980,094,666,959,359,733,010,911,
772,779,775,874,557,064,291,200,649,215,577,507,730,005,912,954,891,971,091,
307,870,698,374,168,413,151,944,090,158,229,510,099,908,029,032,692,311,543,
943,974,513,953,608,439,172,269,982,463,612,906,148,709,041,278,983,489,384,
706,773,794,915,252,070,894,511,013,459,980,071,284,487,402,975,885,015,236,
125,401,816,378,563,616,333,806,377,343,803,601,210,909,794,591,503,061,061,
507,795,327,106,163,467,617,997,693,801,435,250,201,489,045,960,465,172,523,
616,544,272,034,626,628,885,687,733,226,128,035,123,473,155,296,590,586,433,
148,736,376,763,046,833,265,073,709,816,141,509,234,052,800,933,822,005,322,
000,771,494,348,994,886,131,628,872,993,682,165,548,225,876,548,398,625,435,
353,315,472,594,291,484,313,179,480,496,688,351,684,289,131,996,813,772,397,
634,945,966,823,323,656,925,026,148,152,861,284,281,834,641,182,275,750,109,
830,262,851,908,770,977,110,321,766,403,465,198,004,894,063,361,193,996,748,
312,496,358,443,867,075,849,155,464,722,591,503,354,870,351,254,752,331,713,
195,465,023,869,694,945,442,010,871,191,944,407,722,805,166,615,445,291,908,
170,005,870,097,473,576,774,449,192,739,380,266,949,575,004,552,924,454,696,
273,520,801,956,318,885,546,908,025,007,445,444,550,442,124,946,745,745,010,
563,051,416,693,421,877,589,481,103,386,234,652,051,325,860,205,615,155,172,
997,754,139,126,055,260,041,249,592,973,762,902,022,084,029,806,499,142,900,
152,553,248,342,060,321,204,562,748,554,391,140,194,234,896,778,131,826,498,
908,732,540,346,630,818,991,939,171,693,765,430,807,891,300,155,990,805,913,
222,711,821,371,368,272,607,454,472,807,415,702,175,766,464,526,520,327,832,
109,276,702,434,808,780,534,182,180,621,496,755,520,461,876,446,223,256,526,
334,007,429,646,609,744,627,906,822,426,554,193,227,372,390,951,281,900,224,
935,372,011,931,585,969,643,259,427,431,426,929,715,588,724,805,633,253,731,
776,082,715,405,689,871,723,133,794,527,678,788,088,441,240,112,261,748,561,
575,808,086,264,030,324,154,505,672,802,084,776,549,498,364,310,581,986,843,
998,044,103,407,883,082,289,495,393,440,794,215,697,641,261,024,778,173,929,
602,146,412,187,025,372,214,588,915,571,417,070,725,717,500,229,338,424,332,
829,332,000,768,697,852,700,967,982,820,578,806,190,956,199,735,636,279,125,
680,658,143,151,160,944,721,883,226,893,418,930,567,303,761,070,646,368,689,
171,289,932,640,403,367,864,203,050,322,404,552,820,049,540,484,329,449,625,
214,195,274,085,480,903,822,692,725,211,233,707,507,521,596,022,957,957,606,
921,724,720,932,459,991,555,134,638,502,818,531,498,855,342,957,853,202,881,
980,127,375,148,503,394,553,203,118,557,354,376,125,577,275,593,395,443,674,
617,460,510,394,095,102,312,993,104,592,664,638,056,932,160,469,496,362,895,
814,149,814,929,155,878,400,198,161,816,532,033,503,046,293,909,124,878,527,
096,499,561,459,260,946,984,163,684,180,033,707,142,304,246,340,992,266,657,
410,805,291,251,804,317,006,714,064,255,419,286,010,547,138,162,230,080,131,
679,022,010,815,403,378,743,198,826,845,213,764,412,841,105,672,495,837,549,
842,126,438,483,988,947,454,929,022,996,362,182,831,418,170,672,380,584,980,
692,686,550,136,376,309,272,131,335,537,003,976,827,766,160,088,586,369,955,
214,346,590,371,477,640,863,692,413,058,404,336,825,284,014,441,317,255,151,
949,033,688,177,297,034,924,017,128,167,748,217,264,786,365,972,723,016,311,
798,716,690,991,205,785,092,345,478,924,076,049,092,760,398,341,521,583,560,
279,280,203,417,725,824,858,314,976,002,902,545,428,040,675,660,137,792,261,
505,255,151,003,695,696,945,752,637,452,411,086,510,226,631,695,927,336,069,
841,976,125,745,877,798,702,901,514,988,967,431,733,418,912,866,564,258,424,
717,828,379,435,603,023,934,472,447,056,288,682,048,421,151,511,374,368,030,
125,560,812,264,175,293,381,984,659,646,435,665,590,270,614,955,256,795,071,
516,062,787,562,664,567,482,792,411,515,750,462,045,134,585,658,390,358,568,
762,081,577,876,022,839,644,942,068,251,258,816,591,492,779,027,525,259,044,
325,186,218,183,420,168,421,941,655,346,808,376,507,542,386,998,585,410,909,
996,637,325,357,329,667,219,058,710,075,568,098,066,704,189,181,450,658,530,
039,903,627,300,069,820,957,570,087,144,270,236,648,613,968,086,589,379,337,
353,160,256,959,107,611,472,901,445,111,751,151,960,395,733,009,065,100,426,
215,441,024,655,291,738,832,727,895,542,042,275,046,599,580,204,975,131,230,
889,656,232,119,111,214,176,752,809,008,135,674,145,628,705,624,505,001,858,
793,998,996,331,513,687,486,877,182,757,707,983,168,585,127,222,919,995,078,
038,188,799,718,760,323,141,453,643,414,638,450,775,682,149,932,800,032,047,
717,482,957,930,964,226,909,920,700,624,217,806,006,386,533,454,549,059,961,
310,100,371,559,513,130,703,825,639,272,885,362,085,698,561,050,260,482,384,
813,668,943,572,585,330,707,588,218,837,382,771,213,329,782,666,687,383,478,
974,465,500,022,211,975,336,321,996,880,196,484,312,878,640,503,878,448,469,
545,862,090,354,197,034,237,775,825,993,940,141,493,257,178,490,562,643,029,
786,347,688,921,133,654,243,319,899,625,534,917,391,707,127,269,858,423,546,
813,325,410,140,411,846,930,976,701,531,545,769,348,148,861,877,249,082,645,
071,526,658,783,778,874,202,290,287,059,104,001,574,454,974,824,689,941,885,
174,229,911,068,756,066,968,490,191,696,426,904,000,340,693,467,046,353,159,
582,101,051,120,598,474,641,060,268,260,431,294,851,132,117,773,645,596,512,
664,872,261,172,334,352,670,138,651,324,968,986,986,334,441,633,723,502,370,
817,858,211,528,509,841,889,974,404,418,652,518,045,305,824,600,937,582,528,
887,875,040,550,805,612,780,085,936,758,045,873,568,677,292,976,215,961,277,
112,233,798,795,351,726,301,571,307,879,750,962,934,362,564,364,412,469,508,
982,741,781,640,263,232,739,425,347,657,814,126,924,269,709,524,195,286,013,
432,868,707,404,353,586,112,726,684,551,013,962,019,679,741,839,899,863,074,
558,919,981,488,291,031,911,716,656,934,387,494,705,084,263,250,781,155,277,
519,757,582,550,394,409,631,822,414,727,813,677,063,118,283,598,947,794,483,
377,788,615,287,349,652,168,730,705,446,404,067,386,456,010,690,946,468,823,
097,399,771,455,406,657,832,056,704,321,472,184,133,258,799,779,433,982,880,
643,830,576,017,469,894,296,449,447,258,944,768,311,314,836,472,361,293,341,
321,728,609,543,665,640,228,963,080,525,195,463,212,154,034,277,377,347,549,
528,598,160,152,098,004,959,147,440,864,697,946,793,900,501,936,001,924,414,
545,245,615,507,492,684,005,103,902,102,995,138,404,233,614,345,796,974,238,
139,326,578,979,250,465,177,314,943,559,251,430,393,791,237,502,991,224,608,
112,934,955,978,796,041,837,961,660,292,250,084,363,634,300,603,201,136,363,
517,577,758,155,287,710,627,780,060,053,501,285,892,205,148,769,262,333,709,
952,783,291,673,438,483,566,264,887,845,347,420,625,378,267,692,345,629,999,
891,880,468,960,123,256,563,105,334,005,198,840,147,522,547,225,343,369,159,
750,098,871,106,514,699,193,589,156,052,217,384,995,502,091,882,509,210,110,
981,291,265,731,080,881,885,548,620,427,658,712,583,881,268,233,528,214,533,
468,604,959,811,873,867,115,828,924,234,010,625,692,539,553,461,716,011,968,
885,294,324,939,583,041,482,477,902,935,308,516,451,248,025,623,380,991,255,
549,069,291,005,058,337,566,180,593,181,693,685,061,968,503,620,361,021,971,
656,867,975,968,921,784,791,925,116,517,960,284,029,660,500,654,233,578,743,
780,374,296,823,070,789,499,032,313,398,703,604,361,695,403,391,251,559,320,
855,901,993,745,383,811,784,576,915,008,471,468,261,118,308,917,389,992,731,
190,970,592,459,378,688,303,938,596,796,597,982,020,618,735,260,932,960,649,
517,515,758,184,394,024,425,204,736,707,802,009,384,026,746,006,695,983,787,
723,907,041,518,314,373,359,623,616,105,085,765,711,493,052,556,663,568,596,
182,776,671,676,292,745,261,096,276,253,192,228,916,184,733,372,793,648,452,
736,655,594,033,312,444,636,889,972,160,855,184,254,881,301,802,475,337,820,
076,425,064,743,165,850,916,220,390,934,435,241,922,553,371,187,927,180,522,
411,475,036,991,547,337,004,184,576,558,129,394,745,396,978,152,004,656,722,
195,375,251,753,603,150,667,219,704,011,074,935,695,655,854,901,387,029,696,
883,980,598,316,666,988,454,192,174,175,500,927,340,759,586,443,933,995,462,
020,133,594,695,645,489,962,032,929,410,064,622,306,794,890,015,943,372,410,
523,470,513,377,073,710,851,238,019,065,353,929,261,184,935,944,553,097,722,
487,884,460,613,624,604,295,421,518,364,741,731,032,252,314,059,181,397,187,
682,705,156,227,460,322,416,580,527,340,044,938,056,960,084,843,562,614,799,
135,153,038,338,321,154,401,169,199,456,166,827,410,692,567,904,857,117,037,
885,135,559,078,191,137,325,839,674,120,545,924,434,902,735,072,984,534,707,
730,996,887,378,580,578,804,772,984,550,440,725,321,788,290,098,871,648,928,
367,197,770,501,560,105,865,530,829,402,538,628,863,847,715,666,765,963,519,
729,434,615,017,152,850,930,490,489,589,007,064,085,642,828,942,282,814,382,
282,076,841,362,825,536,570,759,620,235,856,169,541,211,521,826,768,295,407,
547,672,945,070,819,027,274,956,749,232,662,246,506,974,316,740,735,361,355,
464,579,865,413,917,514,157,585,342,392,386,338,002,441,724,268,971,359,640,
024,247,895,983,695,093,439,550,904,282,250,257,859,377,979,395,121,726,947,
509,297,371,940,318,217,670,824,406,250,541,563,880,949,853,852,106,969,812,
604,251,429,383,526,547,869,272,815,748,812,759,543,097,185,375,340,257,118,
196,104,503,667,264,902,597,859,736,517,941,956,749,834,809,941,966,006,833,
235,066,142,420,962,587,281,674,869,082,140,371,025,473,809,366,537,256,186,
503,345,848,829,713,694,562,204,211,156,910,817,253,354,978,831,520,700,610,
919,511,776,436,053,382,405,483,633,728,063,504,720,535,232,643,670,804,990,
868,028,718,188,987,305,218,281,774,703,881,246,034,934,473,265,368,768,024,
031,710,896,806,095,640,226,852,812,442,844,035,868,365,172,423,426,986,034,
630,417,490,739,463,306,371,988,362,028,885,602,720,038,266,983,231,836,357,
344,754,265,780,568,401,540,922,960,606,860,623,260,707,670,152,069,583,312,
365,186,744,860,571,875,703,421,028,897,808,775,864,612,725,146,507,729,018,
564,132,604,022,102,217,011,598,101,540,082,258,476,512,965,658,110,762,755,
111,767,455,231,746,280,970,702,135,375,916,574,270,653,893,666,917,186,044,
316,668,271,642,705,044,537,670,422,083,322,539,572,289,487,998,556,700,813,
699,156,420,498,987,993,534,268,122,706,133,432,967,786,982,317,707,408,534,
096,124,119,933,126,306,658,873,003,410,692,027,819,995,597,820,194,530,376,
730,361,422,070,850,700,155,211,700,536,159,110,690,507,461,983,510,841,381,
262,675,780,050,004,845,483,419,040,272,308,229,366,087,438,495,632,843,043,
767,420,124,940,358,582,257,171,159,126,796,031,224,550,615,451,531,811,192,
340,452,022,300,288,468,427,036,621,859,851,222,336,508,377,120,484,505,706,
193,431,134,650,795,699,079,443,863,800,863,379,917,371,307,207,602,655,715,
865,341,447,106,199,650,023,949,014,800,088,545,438,252,129,395,457,549,763,
848,365,759,434,962,792,077,931,209,101,771,870,178,955,940,400,451,485,065,
626,850,314,861,402,007,844,850,810,083,461,078,402,147,408,405,014,644,000,
210,145,220,294,102,105,055,154,631,442,087,033,250,421,557,377,912,349,829,
812,379,571,898,906,990,007,968,225,863,602,905,830,422,068,078,864,609,120,
486,298,841,547,604,170,674,181,512,881,795,312,689,582,063,998,450,482,619,
061,091,438,279,346,568,218,914,547,859,016,881,298,687,369,790,884,698,616,
923,646,154,612,398,308,985,812,371,212,412,874,989,440,150,222,788,876,274,
950,126,554,542,169,766,097,861,855,801,008,883,338,254,062,732,786,160,834,
375,031,475,092,092,631,935,491,528,877,398,959,543,699,926,437,739,424,236,
395,630,829,238,044,219,639,075,176,434,751,656,675,153,885,835,325,533,279,
112,200,254,801,906,737,194,458,028,022,560,552,947,458,986,278,785,383,298,
173,936,265,113,241,508,773,292,141,470,182,873,280,482,794,869,916,871,046,
898,187,516,831,193,813,617,406,826,342,597,568,997,188,861,346,072,624,078,
206,512,221,546,432,742,634,183,135,514,343,551,282,757,600,142,991,979,813,
220,153,411,917,235,263,297,303,810,213,694,123,954,932,647,506,874,241,848,
625,633,557,987,674,085,511,422,526,230,325,085,489,658,366,865,006,918,772,
003,017,026,987,164,161,849,969,147,907,759,680,939,770,569,899,635,549,246,
566,184,531,444,469,154,507,909,882,286,679,867,651,379,926,722,730,701,164,
498,852,548,317,918,742,705,747,196,443,861,404,808,330,726,644,163,436,754,
546,787,744,917,315,199,033,383,924,359,426,460,649,688,368,923,765,835,085,
872,938,470,267,018,294,219,088,354,395,474,918,523,825,115,440,698,677,079,
522,562,180,067,998,440,226,726,771,371,579,450,818,528,841,517,850,295,493,
915,504,402,966,596,465,957,451,631,781,274,908,185,599,369,243,008,743,995,
859,986,128,995,309,096,875,319,696,917,398,217,092,604,930,011,719,686,732,
912,140,241,598,528,429,500,138,715,511,395,443,458,829,939,561,963,842,091,
406,889,388,071,316,839,647,125,148,275,609,527,880,005,955,283,090,962,343,
598,366,170,275,899,888,918,474,401,465,355,035,140,467,088,319,543,239,652,
776,659,328,874,687,997,561,446,046,229,914,394,587,039,060,263,485,213,971,
724,499,357,901,318,841,086,412,292,102,840,554,712,024,835,229,333,501,846,
687,907,317,101,834,304,435,668,509,707,219,239,864,132,539,460,676,021,159,
688,333,903,433,460,545,271,672,540,668,324,285,534,230,655,735,233,479,469,
540,970,139,117,073,148,062,150,851,739,772,955,953,401,681,497,635,918,861,
510,341,343,308,356,932,032,574,628,665,587,792,726,037,263,035,275,878,294,
090,068,520,606,904,663,379,076,702,073,793,522,428,714,451,849,374,581,059,
091,811,940,637,872,136,975,787,011,703,306,858,635,749,314,251,697,889,747,
883,368,741,150,630,959,619,612,552,597,064,736,791,721,193,434,106,407,742,
105,765,143,575,627,815,009,570,531,985,626,388,953,164,472,487,608,780,889,
345,657,433,973,443,326,641,793,633,286,630,812,936,599,625,792,744,212,338,
152,583,650,857,750,859,379,881,517,621,869,110,533,708,513,086,488,730,825,
917,462,067,586,099,169,849,271,198,817,986,614,611,825,988,278,463,071,038,
191,091,352,233,976,924,210,805,175,420,504,214,207,253,557,906,478,199,277,
869,466,797,473,314,087,249,094,997,652,569,319,810,259,620,426,943,421,389,
916,538,681,389,884,531,002,155,535,908,765,893,115,528,360,514,919,402,389,
611,966,223,394,495,587,378,937,887,681,058,607,054,007,665,915,914,866,513,
114,076,975,597,475,420,147,670,637,882,241,465,585,496,529,973,279,485,482,
870,057,360,948,562,698,929,736,929,038,242,690,129,151,745,409,891,028,160,
094,171,921,037,744,456,941,533,778,759,612,952,071,367,573,895,379,408,956,
020,611,470,040,684,265,750,820,397,343,605,875,209,658,381,838,285,240,540,
814,236,153,820,839,466,546,609,390,938,115,807,178,739,626,867,900,575,834,
978,337,923,659,286,352,782,785,132,047,976,093,770,828,574,521,890,778,857,
698,992,385,475,940,156,552,190,900,374,333,250,853,747,395,780,919,545,440,
344,331,839,897,636,253,055,079,370,234,611,198,547,976,339,160,544,916,005,
570,612,510,342,643,932,539,616,341,314,484,537,604,091,677,780,138,077,519,
744,513,802,262,294,761,752,974,095,515,155,268,845,783,867,525,569,472,324,
336,684,767,032,929,555,374,927,855,007,978,172,557,197,737,681,775,957,428,
273,769,379,347,543,164,539,305,467,500,907,036,843,416,796,306,356,005,657,
438,634,622,534,501,552,141,461,179,654,096,437,825,028,304,040,797,609,799,
322,277,578,902,570,652,618,157,895,323,879,336,658,020,180,904,922,586,769,
291,865,638,555,773,835,531,523,754,760,356,796,096,066,163,229,766,390,007,
461,786,239,311,218,121,928,205,677,109,403,602,029,515,611,212,943,706,405,
706,540,816,675,057,961,542,838,822,584,345,016,684,537,641,833,303,362,142,
427,767,926,190,971,398,292,568,469,179,671,483,588,724,918,278,616,890,354,
992,600,974,449,773,685,840,813,803,605,858,613,474,998,551,519,233,740,653,
638,379,269,138,203,343,341,484,482,290,219,356,144,989,102,590,848,534,976,
662,263,051,502,416,935,737,579,178,080,994,658,393,759,387,914,279,022,794,
758,876,853,725,110,781,372,378,165,017,436,651,029,360,029,934,992,573,650,
775,841,575,798,198,810,262,663,683,390,284,391,104,699,535,692,165,763,234,
420,965,871,282,867,857,134,899,768,986,197,668,163,730,043,484,474,154,804,
627,636,583,091,111,565,298,713,481,308,334,947,284,223,140,026,920,391,602,
034,744,221,037,535,264,860,960,031,861,841,485,468,475,555,584,038,461,902,
746,334,100,087,359,636,828,731,205,108,858,965,133,711,939,180,067,362,973,
117,222,911,880,503,732,511,031,901,585,721,626,927,447,427,113,849,092,281,
676,557,754,063,941,962,439,439,533,643,505,125,258,790,053,198,322,163,447,
125,828,729,070,610,826,256,844,800,603,989,837,093,802,923,813,595,783,008,
913,771,058,789,130,288,246,183,571,003,644,629,549,778,251,594,311,550,889,
786,751,829,742,115,120,522,127,607,812,476,479,318,055,363,187,743,523,420,
630,557,187,730,112,568,473,652,606,725,495,451,608,810,471,687,353,221,177,
199,899,790,956,398,833,616,074,026,741,690,242,863,942,743,483,029,503,522,
153,259,997,990,720,022,228,762,311,082,038,808,313,436,694,613,495,522,212,
343,335,760,801,742,073,824,603,093,721,356,765,116,884,835,230,753,154,531,
932,188,721,307,416,147,101,188,030,738,517,773,357,089,457,698,223,880,759,
328,073,014,291,294,292,013,717,482,393,609,809,608,068,716,835,782,972,384,
521,116,021,928,437,460,484,298,448,296,341,070,757,766,983,304,294,536,864,
081,581,382,741,583,379,507,100,594,165,621,456,674,733,535,061,813,130,605,
066,973,600,361,538,954,873,826,356,719,808,149,233,907,732,094,593,868,671,
642,487,726,005,185,306,277,038,556,134,965,551,711,542,044,547,088,153,931,
298,509,834,290,824,502,876,286,664,007,838,371,236,042,209,052,796,107,978,
017,096,749,548,014,002,508,320,204,691,259,868,733,556,001,100,609,444,921,
438,767,765,687,125,055,068,625,162,976,547,161,788,344,080,884,502,936,325,
584,441,709,272,926,182,484,544,526,623,886,211,994,144,865,334,434,105,541,
026,357,843,989,545,723,363,897,340,831,615,578,748,596,741,719,379,153,495,
933,243,728,418,396,592,467,335,277,756,904,648,485,592,225,702,904,275,580,
710,702,596,816,541,943,819,866,270,162,432,125,733,762,805,908,386,664,064,
553,826,649,431,178,821,126,665,400,209,692,250,874,258,535,514,920,703,036,
640,612,174,887,788,529,852,720,030,355,831,765,209,999,013,012,757,340,280,
482,305,925,026,676,931,741,226,098,299,578,632,589,947,637,459,016,404,264,
928,347,870,613,007,106,672,275,011,455,849,330,677,526,537,026,997,904,293,
001,394,214,180,151,619,884,253,167,923,610,305,564,563,232,966,749,956,091,
540,107,405,053,700,020,337,396,348,582,729,503,764,744,755,361,627,868,587,
045,273,322,324,721,260,933,855,452,190,644,129,973,761,542,982,003,871,476,
439,436,030,419,660,739,299,003,028,619,376,253,168,043,595,936,116,672,338,
795,535,667,066,541,557,384,156,985,558,181,783,262,618,627,784,565,566,056,
165,753,681,072,497,611,754,488,571,895,427,868,331,513,405,192,241,231,170,
948,309,368,416,409,101,548,861,576,813,986,246,696,919,138,058,298,563,088,
917,241,381,533,712,408,840,576,426,996,031,292,224,613,411,972,274,881,845,
215,253,470,225,825,067,748,649,321,909,005,561,326,749,777,133,517,337,322,
201,688,723,937,998,270,062,769,397,043,977,965,061,637,486,970,785,304,192,
987,019,222,063,119,960,311,554,144,351,807,483,060,074,659,984,484,708,294,
643,108,443,901,176,011,156,540,958,202,480,954,633,328,351,963,332,770,661,
506,658,256,031,333,888,837,737,752,962,477,397,749,561,899,381,931,752,460,
041,480,368,082,152,186,567,845,484,871,171,462,805,321,192,016,220,556,489,
407,140,915,633,225,559,705,365,024,244,338,452,339,120,227,881,163,546,864,
276,732,108,565,868,016,796,371,794,659,884,584,152,326,048,183,958,682,187,
863,797,101,553,755,818,137,125,749,671,774,617,305,978,692,496,498,575,658,
208,336,284,902,768,069,586,441,758,056,514,859,557,667,939,746,904,990,215,
524,842,157,656,780,591,957,414,490,512,205,172,338,149,692,554,462,349,189,
678,925,513,674,051,693,788,375,116,280,700,830,105,864,322,914,821,224,105,
167,941,939,302,378,844,120,494,649,163,808,309,183,367,496,846,801,757,476,
573,818,855,980,030,520,706,209,526,444,120,576,303,248,447,639,500,966,091,
075,283,261,431,738,941,065,467,500,594,228,448,213,752,588,171,348,485,554,
342,843,788,708,727,523,394,718,836,831,687,186,851,108,714,729,783,739,804,
607,468,198,840,802,433,349,670,603,416,397,202,527,718,916,001,475,454,796,
195,343,765,252,942,902,261,986,464,098,981,763,950,929,192,697,340,966,589,
382,630,599,080,159,180,696,187,335,857,303,030,405,179,679,521,448,576,558,
181,331,625,725,281,982,063,597,331,733,885,852,043,585,288,013,601,808,696,
724,883,107,957,797,406,253,537,963,956,865,801,967,303,246,524,928,492,024,
127,433,720,482,327,178,288,103,384,049,979,756,962,691,266,681,290,400,703,
251,970,976,649,245,499,785,255,387,550,756,588,293,407,232,207,086,993,292,
058,752,851,639,879,533,898,566,819,639,262,503,041,916,189,851,877,430,947,
156,715,449,564,925,487,392,964,521,515,013,746,230,181,748,022,577,758,936,
314,440,728,756,995,009,467,150,505,647,096,996,628,664,231,691,280,405,561,
843,304,351,964,276,145,798,210,517,399,967,446,259,164,581,285,189,332,675,
910,350,019,482,243,329,693,605,513,677,313,197,513,779,941,218,751,175,267,
947,839,868,049,240,855,511,638,638,777,047,488,841,706,651,421,506,110,060,
976,900,812,386,973,955,802,846,951,830,980,015,856,058,227,217,069,698,284,
783,363,279,480,559,582,042,597,910,886,675,026,341,200,198,743,782,517,184,
172,418,319,476,122,843,741,511,722,232,635,869,670,839,229,029,412,888,849,
261,752,241,023,335,199,526,424,933,876,047,025,648,153,158,951,715,609,647,
532,618,636,815,864,161,918,439,617,240,712,072,957,527,700,433,084,016,841,
602,580,881,325,492,969,178,100,727,633,233,155,376,438,042,564,706,180,465,
679,500,650,607,318,774,458,999,959,598,510,182,471,010,379,161,301,168,204,
250,309,047,756,361,709,596,370,029,003,591,864,979,510,978,888,716,307,653,
972,618,111,784,828,946,982,598,885,524,643,692,082,260,478,336,489,622,312,
428,639,825,100,678,777,062,546,430,312,057,562,458,947,178,770,175,579,935,
372,887,355,921,057,482,636,766,495,089,969,046,515,311,491,665,835,514,761,
475,698,718,754,188,963,169,782,389,351,270,603,171,954,241,667,995,154,659,
677,066,673,036,081,490,553,511,328,263,512,015,434,982,785,511,894,388,273,
447,896,087,692,701,640,599,017,195,343,956,542,597,257,897,765,633,365,270,
525,215,766,938,668,400,460,688,888,065,232,878,306,915,275,140,529,400,782,
942,143,973,218,916,211,058,477,884,748,936,451,060,101,827,085,231,966,557,
227,264,355,239,288,258,796,053,180,501,816,160,832,481,320,274,261,392,765,
418,103,215,045,217,014,874,109,521,088,693,486,802,757,938,398,622,751,385,
353,558,161,598,318,370,425,556,648,632,688,218,618,903,260,022,673,116,967,
160,050,103,572,211,435,494,483,807,378,026,533,184,218,010,967,591,225,424,
761,745,782,993,880,195,353,954,873,264,316,521,156,685,862,789,652,505,085,
120,867,415,062,923,599,956,400,062,045,117,283,996,791,892,692,130,386,404,
860,875,254,680,851,274,561,351,481,410,255,987,100,898,480,015,506,254,720,
242,662,742,790,922,365,169,025,273,358,118,121,171,460,947,971,645,821,539,
169,577,104,533,261,566,838,029,187,160,571,769,363,973,196,701,432,945,260,
804,549,270,035,505,673,861,554,367,970,567,289,674,148,786,001,478,788,264,
902,805,540,827,687,664,189,295,092,869,371,123,938,171,901,363,959,734,578,
175,560,391,031,034,337,875,509,583,924,931,207,010,842,958,656,550,293,600,
596,076,343,800,708,626,120,059,314,381,396,373,080,245,033,492,834,498,798,
799,765,241,593,978,127,759,241,785,749,374,966,470,997,287,753,411,203,677,
787,826,726,623,120,627,976,505,697,087,351,560,021,792,739,005,084,787,496,
739,806,323,379,436,000,867,963,861,701,556,420,372,569,388,004,896,594,324,
266,646,983,012,702,995,146,509,127,237,314,665,840,071,852,048,578,938,631,
274,181,308,759,678,746,414,142,799,821,096,537,712,656,914,539,386,011,561,
042,462,376,368,519,322,115,404,819,569,644,274,122,860,800,768,932,329,397,
386,993,017,080,936,494,279,178,307,816,196,810,050,879,042,749,368,592,617,
049,259,697,643,355,874,822,873,771,238,004,290,588,340,677,179,614,876,857,
725,960,588,143,503,159,596,240,182,260,585,907,787,287,109,934,555,151,488,
540,826,399,113,521,553,151,701,420,281,968,544,111,409,849,364,195,774,571,
304,605,195,050,968,052,826,722,309,028,200,658,962,872,114,973,744,124,248,
455,222,783,911,327,433,352,463,669,143,499,634,748,028,144,465,912,993,715,
421,156,829,054,352,667,150,908,004,068,901,024,266,450,996,497,309,443,540,
135,393,085,930,761,770,626,898,765,474,239,827,550,665,758,190,931,140,123,
869,142,463,892,653,222,273,498,859,772,470,089,191,806,423,992,640,776,452,
424,145,546,923,174,419,224,993,375,835,286,157,138,093,636,564,639,674,117,
497,922,744,433,783,224,489,592,750,293,040,549,944,272,485,641,644,520,127,
830,603,545,462,875,974,737,168,819,186,951,504,772,859,688,614,737,676,798,
957,803,845,795,112,099,521,004,352,928,582,578,558,319,170,346,822,964,082,
113,243,076,588,975,064,711,038,011,709,833,287,890,923,218,442,160,939,518,
316,144,955,283,352,533,556,401,478,917,144,023,295,535,935,715,943,873,835,
321,371,196,130,581,638,037,116,758,378,268,554,060,551,444,880,337,970,244,
848,531,455,079,941,941,656,224,276,032,998,914,838,599,312,605,359,427,386,
255,555,074,770,093,397,139,916,702,902,410,456,405,487,539,031,462,561,068,
718,664,095,360,289,458,721,189,802,143,258,057,907,065,040,748,836,238,914,
149,939,803,009,847,597,397,042,482,953,735,494,640,807,977,819,300,613,131,
014,304,347,351,045,230,471,553,603,229,922,156,722,269,382,270,275,623,058,
046,734,107,854,210,829,163,219,750,123,730,502,733,309,291,801,927,307,957,
414,495,797,959,550,353,687,760,268,853,222,012,042,464,824,710,205,024,312,
549,682,488,291,683,540,110,803,236,349,997,045,693,683,893,923,618,132,406,
134,019,153,773,863,496,302,852,686,741,169,683,615,529,507,722,506,702,187,
202,644,494,990,234,311,554,938,472,316,315,554,422,078,996,039,002,387,240,
829,451,877,664,726,675,676,478,269,216,006,109,334,110,397,436,299,038,567,
446,931,117,445,070,746,610,587,602,858,840,691,242,957,686,862,797,019,487,
158,787,616,615,112,125,630,188,461,364,591,348,032,231,109,153,988,444,178,
233,555,623,876,370,801,276,812,821,602,999,193,225,892,161,803,246,578,337,
192,436,403,351,673,998,204,774,930,199,915,175,362,976,476,436,463,675,638,
514,410,749,809,126,955,126,350,673,513,178,612,361,247,812,771,172,630,553,
650,912,278,287,224,517,518,923,554,721,706,546,791,801,813,374,593,288,523,
152,644,831,260,273,468,662,920,441,673,704,038,951,361,459,452,007,167,686,
665,399,555,853,040,503,767,175,407,466,737,124,758,904,519,444,950,924,959,
615,884,661,656,427,286,797,174,062,690,058,919,216,440,708,303,425,125,491,
333,495,665,546,091,665,600,134,873,991,970,272,022,184,117,651,081,624,956,
767,827,630,804,703,362,304,211,837,167,947,320,078,128,907,975,725,125,123,
346,727,065,642,448,085,882,718,433,630,052,509,366,225,589,845,868,807,677,
832,465,641,156,761,328,180,252,913,535,979,997,682,106,211,683,450,225,363,
064,009,304,412,567,036,488,945,488,961,607,346,783,985,883,992,511,155,769,
460,641,065,211,155,239,047,002,633,201,557,527,974,535,861,255,093,649,057,
674,791,614,038,107,526,926,267,205,696,228,836,430,170,021,809,442,914,844,
092,552,426,553,903,295,668,837,232,320,472,350,149,648,545,826,683,247,543,
460,206,707,690,084,252,439,369,421,302,015,602,405,029,017,465,397,376,109,
407,010,317,230,737,200,760,118,358,134,287,465,019,683,573,427,606,451,385,
933,979,066,833,502,374,839,238,622,134,811,319,132,566,299,955,541,477,512,
601,646,577,864,614,021,995,528,456,182,164,261,359,412,629,094,039,179,794,
872,441,709,909,629,925,873,408,033,896,432,364,796,154,513,857,027,298,754,
092,270,458,121,352,439,157,282,451,478,955,678,437,151,652,723,631,223,914,
746,167,017,171,538,458,616,697,396,559,450,879,860,924,023,042,259,104,770,
262,900,667,832,512,038,728,648,391,791,569,606,451,484,200,799,319,896,765,
758,680,984,061,502,107,409,132,066,771,369,423,631,488,336,776,287,389,308,
804,946,109,435,601,423,659,652,149,234,101,108,729,452,202,819,856,160,433,
360,745,802,389,908,571,435,161,315,602,846,708,021,832,534,209,440,916,660,
594,740,538,701,795,207,769,570,230,880,682,484,392,128,387,117,746,456,304,
947,650,912,866,043,881,795,876,552,948,874,880,446,976,498,771,403,195,735,
063,724,718,282,574,328,847,330,274,448,912,679,815,071,114,665,866,253,923,
298,196,365,130,153,909,066,711,984,332,011,134,018,104,386,623,451,389,267,
030,614,798,671,857,313,682,292,449,181,169,211,285,366,112,092,518,226,542,
610,443,417,021,523,873,650,677,103,849,950,916,414,645,926,802,212,886,740,
882,757,486,870,404,658,489,303,180,529,580,593,101,865,344,538,339,060,361,
268,819,563,843,660,551,930,651,123,869,684,789,401,055,658,639,395,367,134,
236,565,365,556,462,521,750,566,010,294,254,697,450,591,661,841,957,269,977,
674,141,398,092,243,555,930,916,385,084,522,194,773,974,086,857,796,147,205,
221,827,449,708,014,367,794,629,853,660,708,232,861,165,891,919,984,757,601,
901,831,464,725,996,655,420,454,956,641,434,331,276,472,432,942,654,164,916,
587,483,981,610,644,754,654,939,168,910,863,739,981,666,039,536,943,243,372,
006,693,080,660,128,602,346,804,166,628,863,048,588,378,968,681,716,657,066,
103,946,808,890,844,199,058,040,577,842,604,191,511,370,483,907,798,980,497,
367,051,441,114,907,922,954,039,526,317,095,202,733,387,334,175,014,712,216,
042,594,030,467,636,989,204,536,660,745,105,899,404,398,893,877,458,215,041,
021,948,389,685,221,199,078,800,170,128,112,824,460,416,233,509,944,101,637,
973,954,197,386,788,011,243,776,380,005,935,187,263,632,120,262,053,148,487,
314,490,466,558,756,748,445,991,781,821,909,166,406,983,931,010,196,738,900,
079,107,190,134,666,621,120,111,145,755,318,796,424,108,495,059,663,594,419,
666,278,120,264,502,325,247,177,123,533,857,948,150,652,423,086,454,218,932,
029,436,809,509,865,937,181,221,571,005,945,844,789,766,662,389,248,491,225,
160,837,959,979,403,438,257,171,014,294,985,397,731,327,394,850,539,383,754,
513,602,395,778,076,159,849,030,535,438,450,064,921,761,009,664,829,540,115,
330,625,543,014,537,033,502,257,093,631,693,987,018,549,596,213,247,431,227,
771,370,658,198,231,986,649,254,339,283,429,942,616,672,387,858,639,611,072,
139,686,255,559,778,300,294,406,274,588,856,565,294,405,441,776,912,389,730,
956,635,714,894,509,533,080,903,919,701,858,774,706,132,040,100,178,248,594,
365,425,381,295,568,102,123,642,109,772,196,764,617,624,045,321,281,838,961,
352,281,514,948,905,989,875,090,613,459,895,631,532,998,702,923,058,128,489,
747,337,309,005,389,490,295,973,049,447,597,402,330,999,529,249,416,480,217,
849,844,253,335,513,136,307,887,041,238,159,164,727,408,459,973,005,459,560,
613,161,423,661,053,956,104,018,616,455,198,352,438,174,930,438,921,493,491,
353,013,140,972,336,724,531,939,205,128,516,975,660,083,407,856,849,314,486,
331,614,194,564,723,096,576,570,423,377,125,108,616,422,747,171,903,002,530,
108,510,255,529,284,618,639,528,656,987,566,365,246,613,305,387,381,235,340,
829,225,627,589,015,000,723,387,765,235,730,649,996,323,858,169,151,371,534,
470,944,808,474,264,244,877,288,701,350,823,832,169,804,423,130,773,870,733,
770,884,751,259,666,558,261,615,487,085,703,911,940,414,902,576,298,214,621,
871,569,297,303,272,028,625,209,351,318,394,041,733,818,529,042,225,095,938,
448,589,908,844,348,025,117,749,093,936,503,901,723,358,632,257,208,298,860,
652,767,152,645,143,368,110,336,438,654,879,242,494,868,060,729,891,113,906,
119,528,363,419,360,357,655,168,045,639,697,747,605,510,675,893,933,067,195,
302,101,341,651,217,537,323,681,497,349,646,833,037,728,977,166,518,437,251,
695,757,543,508,569,254,633,314,386,592,306,062,467,987,637,832,837,064,644,
393,955,930,915,819,180,618,585,396,874,995,010,801,691,645,279,834,020,726,
254,312,109,154,368,712,892,004,455,037,350,512,035,258,330,920,021,518,284,
471,578,638,666,959,801,327,682,586,112,050,300,476,464,558,748,738,361,071,
231,503,945,285,143,835,781,337,342,420,237,297,121,441,598,271,859,790,882,
862,896,347,120,172,192,113,870,054,275,917,966,896,830,335,841,095,757,810,
543,112,452,076,668,246,524,822,200,179,100,873,689,566,104,578,826,827,484,
042,456,177,579,509,711,946,346,732,563,463,115,539,114,311,590,280,718,239,
698,436,947,452,585,356,447,092,269,348,952,883,151,348,509,393,617,432,807,
466,335,859,559,820,442,077,793,122,058,710,001,960,321,565,155,625,368,413,
052,237,765,302,794,451,018,129,625,912,171,606,586,122,820,843,853,796,520,
236,366,850,391,558,049,925,476,691,474,217,496,959,511,867,711,948,791,707,
783,543,160,756,494,198,626,241,140,949,500,052,448,408,203,038,762,825,204,
804,999,540,554,056,332,769,896,506,587,773,414,571,033,201,005,491,273,283,
679,795,464,840,206,509,615,048,455,731,976,882,898,698,364,788,767,400,062,
891,256,648,211,549,911,383,961,249,302,332,763,975,492,598,788,565,430,570,
643,019,351,524,116,352,581,439,007,332,257,991,275,162,535,871,458,434,095,
181,414,707,155,075,124,405,307,589,203,153,700,095,662,793,703,162,854,751,
754,009,866,541,155,326,726,893,462,874,219,542,761,118,472,174,174,504,671,
721,554,900,254,704,844,312,224,822,041,949,650,456,380,428,025,417,932,938,
363,086,704,795,969,418,684,841,692,097,271,217,642,081,958,640,253,585,508,
026,994,843,415,591,212,633,646,367,616,925,080,113,149,519,574,947,581,233,
354,406,649,711,853,225,148,448,209,100,687,275,053,960,125,676,574,695,162,
096,929,847,657,890,448,756,164,885,201,960,740,394,434,167,756,277,725,819,
736,233,712,691,660,412,182,636,211,141,531,098,069,243,179,398,272,095,232,
916,291,555,120,348,252,697,091,972,602,624,953,883,210,772,282,989,754,300,
479,318,442,563,749,185,951,398,169,528,090,016,387,723,889,323,706,889,268,
298,626,128,594,761,333,638,923,982,954,748,970,365,886,031,892,843,847,298,
019,281,287,987,817,970,080,314,673,491,715,981,070,878,789,510,599,596,642,
978,463,762,050,842,869,174,302,095,728,479,963,320,338,459,311,948,863,006,
023,427,596,076,113,981,127,449,073,152,137,736,097,442,193,392,763,086,094,
169,403,585,337,418,779,107,259,758,672,600,510,775,250,271,523,635,314,019,
144,720,490,662,973,957,928,689,167,974,081,801,405,799,934,622,913,971,834,
167,198,375,537,978,640,503,886,652,867,553,775,015,732,953,085,032,940,591,
851,490,491,228,076,376,073,771,888,037,235,891,772,193,077,648,771,220,890,
676,370,717,886,661,563,512,347,540,343,673,724,394,567,485,768,129,271,446,
644,608,674,326,546,417,269,667,425,819,368,114,497,603,235,001,369,099,102,
638,128,733,935,595,311,282,121,369,732,255,568,431,353,369,138,210,812,557,
156,142,644,016,568,038,145,515,688,895,628,655,967,555,763,250,748,074,826,
057,518,571,078,043,354,892,332,182,737,506,937,296,556,762,075,754,281,297,
514,191,595,230,138,879,008,520,406,250,832,518,850,485,335,802,177,057,866,
946,586,728,372,127,866,199,879,911,618,545,360,501,321,672,478,774,556,445,
478,829,094,388,769,839,761,107,322,684,173,855,766,731,308,888,379,181,443,
562,038,777,773,233,915,523,312,178,679,469,388,729,597,458,876,902,176,929,
645,279,457,307,457,917,064,470,359,287,821,845,859,150,270,232,647,450,270,
305,552,077,656,385,895,346,904,381,395,432,278,695,218,706,049,734,791,000,
306,252,414,023,750,193,410,050,901,268,724,506,794,785,341,153,138,021,889,
853,050,876,318,287,840,516,082,336,641,103,719,153,937,764,064,322,890,711,
728,384,515,818,202,871,259,730,969,629,726,987,621,158,020,987,135,905,630,
886,523,659,884,656,969,015,965,032,993,488,489,184,219,810,640,851,798,929,
644,729,753,528,408,819,573,737,483,282,040,586,601,836,151,062,948,385,650,
130,374,512,202,765,040,945,708,284,300,054,516,923,103,408,066,017,094,441,
952,033,217,096,453,494,120,143,984,869,638,380,261,306,263,673,649,978,695,
822,643,110,041,711,335,625,152,328,891,581,620,031,028,714,638,231,593,815,
314,443,906,196,974,543,222,738,630,546,493,269,505,158,805,699,539,729,318,
022,902,025,414,223,778,332,751,134,373,105,526,726,289,880,007,106,029,032,
770,908,598,783,168,969,713,541,193,954,209,810,674,083,760,148,984,125,763,
379,330,686,786,885,658,428,246,166,225,712,531,437,206,679,372,150,811,867,
405,106,584,210,572,115,182,130,517,533,325,554,669,896,110,576,686,477,535,
867,532,010,533,425,319,728,820,391,063,062,480,000,165,448,759,256,111,119,
269,031,446,267,230,749,415,144,400,182,862,192,303,089,591,517,242,217,617,
196,356,067,392,165,885,601,216,035,522,055,555,864,762,489,181,978,796,211,
766,589,003,232,205,726,608,541,285,915,252,724,239,002,409,969,902,005,595,
522,874,930,473,582,082,633,138,217,008,190,631,819,155,974,504,375,732,657,
107,288,806,781,883,986,883,325,489,667,296,259,197,809,771,415,859,152,374,
903,437,544,920,706,975,178,757,514,764,528,230,390,206,145,693,032,320,865,
731,054,515,898,299,565,534,535,713,375,949,638,683,783,693,071,367,301,491,
426,752,946,881,613,415,046,666,741,701,016,380,791,293,156,837,199,388,812,
343,758,041,433,699,886,600,284,521,670,808,967,352,090,167,564,447,321,341,
721,087,972,227,121,724,060,813,851,281,342,087,261,473,835,763,253,936,491,
636,835,155,745,332,121,828,345,561,825,381,856,980,003,485,953,865,551,254,
131,964,780,263,903,281,104,705,505,057,261,231,957,517,708,980,240,265,015,
286,143,007,035,987,740,730,252,545,073,068,362,888,059,029,266,442,495,854,
879,182,862,339,219,874,730,305,886,982,529,017,332,599,428,043,386,298,822,
401,003,220,477,516,914,611,527,579,313,434,928,735,288,696,147,711,045,354,
422,746,556,767,207,595,931,748,591,053,267,892,673,012,594,616,463,863,254,
350,362,258,239,658,672,768,232,026,679,531,521,761,009,317,627,372,810,614,
827,238,127,813,376,291,454,397,543,756,634,647,481,526,494,393,657,663,495,
435,797,392,477,438,244,025,899,484,188,374,509,844,417,831,929,979,252,427,
644,438,792,747,982,878,525,623,946,520,216,217,731,332,740,652,772,688,971,
049,904,807,072,199,124,395,772,647,443,412,074,584,220,431,552,940,335,560,
388,401,032,678,636,992,025,258,800,853,835,401,158,754,771,070,032,901,351,
005,121,069,866,167,509,989,107,295,759,105,965,769,244,399,931,465,474,095,
646,919,181,055,806,200,721,390,742,349,813,086,538,082,059,780,447,044,510,
920,640,534,916,861,002,533,932,107,584,580,777,920,182,230,041,223,098,849,
896,511,721,274,417,110,323,428,181,963,554,890,134,812,464,719,504,915,982,
085,702,051,125,849,453,439,976,300,688,645,966,305,941,276,715,354,109,023,
041,364,302,558,428,844,794,933,060,569,116,145,144,573,136,057,510,849,196,
978,570,090,645,011,297,265,126,082,026,667,233,001,102,332,242,834,532,589,
550,001,101,135,860,296,488,923,602,967,082,881,819,668,125,195,730,466,630,
293,242,541,778,569,014,390,534,827,328,738,287,252,704,004,341,740,693,447,
962,616,612,227,683,340,699,264,223,710,108,237,741,221,255,680,688,726,137,
682,353,134,769,296,545,732,570,169,988,599,507,749,760,545,323,972,501,972,
366,886,515,861,919,228,423,803,977,431,958,259,381,426,331,416,429,349,879,
346,337,023,609,082,348,696,152,057,462,932,425,374,431,781,610,415,212,256,
728,521,416,780,739,217,108,032,932,686,369,606,815,929,872,022,964,553,248,
118,340,113,921,789,450,500,071,208,619,270,948,714,309,476,722,541,273,931,
436,164,099,529,247,312,317,930,211,951,506,938,953,227,768,783,283,747,769,
735,411,718,594,102,741,394,186,010,564,643,618,321,092,154,534,833,965,100,
907,201,443,226,100,174,662,466,917,466,399,491,756,517,974,593,768,317,786,
116,298,555,768,176,975,826,501,591,308,285,386,820,240,268,157,409,319,127,
096,619,565,625,941,032,092,426,185,121,643,559,277,620,028,416,005,075,588,
009,335,994,462,885,662,588,202,742,173,440,025,756,249,319,597,901,069,566,
388,354,732,549,109,813,198,134,438,530,844,178,059,673,909,537,317,035,339,
742,218,124,963,893,612,556,953,720,890,364,393,049,536,607,727,155,078,259,
277,780,906,213,555,259,608,554,023,737,856,243,783,146,712,565,119,073,625,
927,309,019,360,536,298,883,884,697,353,109,702,448,879,776,856,478,584,154,
141,019,308,355,796,869,078,574,160,289,780,420,081,554,715,061,661,610,548,
048,966,708,766,192,823,247,779,901,545,704,117,577,086,837,628,296,653,623,
328,824,017,839,691,944,550,662,448,720,512,103,486,415,754,674,136,242,566,
146,110,224,655,364,170,092,874,329,369,551,537,761,920,406,041,905,075,067,
817,495,018,813,046,192,244,015,477,127,915,254,760,775,742,594,950,259,650,
907,541,664,199,829,361,065,297,054,612,349,862,736,712,263,406,100,575,494,
084,611,133,892,256,754,249,956,621,891,469,528,824,908,831,800,274,032,070,
984,486,152,171,017,022,740,631,405,955,587,418,769,828,544,978,558,302,182,
837,080,758,471,411,934,755,594,256,610,810,010,763,245,915,163,656,563,057,
912,922,258,534,115,754,008,388,065,298,439,653,257,194,691,059,979,313,586,
928,963,459,081,728,587,927,089,823,936,844,457,040,878,187,913,265,262,314,
966,024,086,076,363,768,332,021,163,241,685,758,517,410,699,648,028,262,912,
330,826,885,108,520,681,309,872,584,745,074,639,178,223,038,084,755,188,073,
432,639,102,836,001,487,865,944,172,896,815,721,669,129,408,830,397,438,718,
462,829,458,141,732,939,029,769,614,295,411,762,528,809,574,342,536,574,524,
908,868,819,666,287,161,488,474,532,651,499,264,596,772,812,361,475,003,935,
338,923,609,510,260,935,319,626,401,276,482,135,842,296,624,373,812,525,482,
088,295,578,231,856,461,346,702,086,476,602,300,939,636,126,448,209,561,337,
508,389,978,212,448,336,279,337,833,572,684,396,942,621,963,946,270,382,201,
716,689,386,525,206,476,646,038,099,831,301,728,438,256,631,564,439,593,260,
738,916,422,332,541,651,009,400,484,094,222,912,112,915,427,167,712,014,271,
008,689,612,574,043,884,244,777,178,491,978,394,564,980,157,853,936,994,994,
525,113,216,804,906,314,456,899,725,582,739,543,891,366,967,764,959,523,555,
675,018,016,804,456,619,701,800,092,156,687,045,487,248,984,202,604,196,388,
533,870,561,912,262,490,835,534,086,761,542,038,060,582,372,942,255,423,798,
413,937,578,020,439,959,187,555,121,122,386,841,959,711,244,046,038,475,977,
370,442,755,135,668,499,415,348,090,889,801,558,808,446,135,383,131,103,109,
651,748,136,072,895,401,508,923,658,239,217,025,831,209,724,481,298,057,983,
611,849,470,260,021,994,035,585,686,704,863,656,910,386,930,632,124,120,913,
958,019,420,935,956,870,640,422,293,765,597,373,477,710,681,699,835,153,042,
231,458,694,289,766,134,875,753,356,422,317,460,327,805,097,890,124,742,042,
932,469,544,119,854,834,727,144,853,658,198,958,315,333,127,805,824,735,635,
132,038,888,212,862,524,292,768,668,270,293,454,377,399,305,279,067,227,612,
063,664,474,409,586,393,588,818,276,459,873,514,527,152,834,817,972,376,207,
566,767,475,286,928,558,129,706,475,560,740,783,520,269,324,959,461,981,449,
264,669,522,360,269,459,762,156,709,720,401,673,046,274,622,066,334,698,192,
645,258,857,505,889,721,772,751,369,354,977,618,882,951,776,563,476,757,437,
216,909,304,190,392,643,055,167,488,836,847,686,938,584,245,988,156,225,554,
173,687,076,264,101,422,508,474,980,957,880,070,866,467,932,293,725,592,988,
048,363,390,946,816,980,953,737,020,677,902,002,635,139,550,205,780,765,822,
105,551,764,710,165,944,159,009,689,678,164,714,083,661,064,999,486,378,179,
035,665,115,982,688,101,360,887,018,045,497,463,326,359,998,746,430,585,798,
654,248,709,006,752,852,441,027,220,859,185,819,907,235,453,605,099,425,244,
083,935,895,395,564,104,852,131,190,520,960,245,327,819,708,533,382,982,436,
374,908,542,845,392,041,181,442,165,959,613,294,298,997,405,707,140,037,898,
144,922,887,751,583,043,029,640,379,876,818,233,419,167,022,964,687,819,706,
583,497,313,078,298,953,570,463,924,108,493,216,409,698,422,999,189,768,995,
444,695,064,994,763,137,771,826,064,693,749,758,596,893,350,552,737,197,547,
183,106,030,549,118,731,994,993,830,089,069,461,455,975,934,078,262,420,941,
588,462,296,984,550,622,345,533,476,310,122,818,544,359,431,480,936,588,388,
390,122,242,908,634,809,392,906,237,796,605,857,865,807,131,133,131,594,326,
719,135,761,387,328,775,300,231,235,238,101,259,261,707,104,561,512,754,008,
289,761,197,230,813,185,825,427,462,476,189,991,323,548,948,729,072,729,322,
691,043,455,495,104,902,495,670,409,688,347,770,391,055,380,376,124,952,789,
280,774,395,797,406,869,030,350,915,377,781,350,165,308,981,601,826,368,404,
801,654,541,946,379,675,484,776,734,818,357,620,584,040,451,018,174,404,456,
479,332,129,641,677,912,699,009,831,559,677,172,167,051,632,952,446,548,473,
796,696,664,233,183,529,912,008,353,311,118,122,207,568,725,003,173,314,042,
193,656,710,716,573,253,772,169,259,228,046,309,591,556,046,867,558,316,063,
349,171,079,742,264,376,327,476,576,675,067,042,764,599,477,303,776,081,253,
422,081,003,373,674,564,904,014,423,858,140,800,137,087,305,761,125,271,086,
850,242,372,024,202,341,359,031,340,620,481,711,884,360,841,479,474,767,382,
257,252,234,091,912,769,264,119,028,157,479,624,574,758,714,581,790,265,632,
623,024,378,536,999,721,984,823,830,951,066,703,883,338,940,784,375,133,179,
636,861,987,010,571,954,549,177,227,745,944,087,600,829,754,112,121,760,540,
833,743,228,118,028,775,993,930,081,368,994,623,774,362,790,589,417,852,869,
589,741,239,065,636,089,985,172,923,403,283,600,595,690,762,951,319,512,071,
997,202,140,232,074,378,095,134,152,689,743,258,311,962,970,248,192,705,411,
772,771,674,267,875,985,623,453,469,723,718,727,450,351,386,308,267,246,151,
777,153,130,314,767,795,472,884,158,201,382,936,087,555,229,343,438,390,891,
524,757,132,147,398,465,040,544,197,784,564,226,212,422,336,743,585,898,892,
813,791,854,255,948,138,242,817,782,441,710,588,518,377,923,802,250,588,601,
099,286,893,185,342,247,844,464,271,718,551,063,386,077,509,406,393,986,167,
787,371,145,523,347,367,271,348,548,106,483,409,021,943,229,430,915,238,461,
195,161,425,624,710,705,096,812,506,369,113,557,158,789,385,487,379,796,036,
713,041,663,084,337,032,027,440,884,994,983,591,772,227,161,144,314,576,512,
066,684,028,072,805,427,161,773,465,908,308,350,071,923,969,463,797,504,540,
942,375,043,929,848,115,478,332,966,958,809,088,584,981,974,744,875,426,341,
082,569,107,662,426,706,825,735,430,614,663,535,704,251,443,232,988,277,143,
453,642,607,818,094,450,830,518,854,612,223,658,234,277,925,597,976,189,023,
999,023,155,832,438,230,613,854,156,991,636,805,978,682,413,395,041,587,033,
884,518,742,343,581,078,504,491,415,591,688,366,545,027,141,919,780,841,608,
579,209,698,868,689,440,390,479,051,788,427,039,086,071,218,313,632,557,074,
760,922,347,713,388,074,109,855,543,239,897,592,433,177,933,073,518,587,627,
862,569,235,396,291,729,827,907,692,476,294,351,785,322,534,704,337,893,942,
046,437,825,174,496,348,106,527,564,979,243,953,531,300,269,249,910,499,359,
271,534,400,431,942,977,202,482,316,843,990,417,808,319,795,537,122,609,850,
169,237,696,738,211,243,662,742,633,967,644,164,892,409,875,491,862,305,628,
949,731,647,236,903,077,435,855,680,306,448,474,149,470,065,761,391,352,027,
857,566,119,696,275,517,086,972,000,010,363,201,677,717,235,456,714,105,080,
098,274,126,297,235,644,075,151,350,577,284,505,411,708,773,344,231,267,174,
163,236,120,520,120,300,966,032,120,446,800,823,189,007,981,279,727,895,702,
663,574,725,876,989,665,114,096,507,684,924,790,099,404,852,600,431,977,663,
486,054,813,605,532,323,030,093,692,243,994,197,302,810,483,971,287,853,112,
932,559,536,579,015,493,966,033,004,967,021,373,601,570,386,188,500,540,944,
484,059,052,467,286,501,157,708,104,321,911,454,781,495,062,484,081,277,412,
765,923,982,572,765,955,889,407,935,005,455,891,209,671,698,753,487,680,958,
090,228,991,998,646,609,202,491,762,410,384,653,516,032,785,637,436,842,415,
020,266,460,111,693,267,278,919,031,985,908,832,308,668,962,531,628,306,197,
944,502,821,204,698,814,682,570,373,146,709,227,322,574,966,697,110,406,128,
512,955,026,458,106,374,968,523,282,198,519,313,595,017,374,181,157,518,498,
793,610,658,178,129,671,925,937,225,451,605,118,508,291,381,262,383,021,150,
239,678,051,111,016,106,560,618,588,017,548,791,084,666,378,121,331,243,958,
314,918,168,642,579,130,232,460,665,783,596,356,648,774,599,265,631,576,044,
489,978,751,479,709,334,942,494,525,035,545,392,195,262,235,385,873,031,487,
722,556,860,039,369,655,152,981,429,007,485,030,390,471,957,882,769,141,072,
581,944,703,105,897,718,005,371,657,851,693,660,713,241,181,566,363,887,988,
554,016,156,795,836,740,686,029,348,635,485,430,246,699,183,853,303,563,416,
521,993,033,148,437,158,191,117,484,471,763,443,832,900,359,861,219,594,259,
155,482,565,837,026,049,841,574,327,100,800,404,225,213,471,358,854,498,141,
291,111,071,566,727,331,978,520,336,013,313,816,356,784,615,222,656,317,549,
139,206,345,264,234,183,446,927,300,483,509,767,194,487,807,517,735,107,742,
452,007,519,579,493,315,475,114,391,402,518,264,479,478,276,527,354,341,574,
579,395,936,555,816,854,724,987,168,397,197,220,118,493,141,756,702,359,637,
059,828,061,844,087,411,117,504,298,515,920,611,213,640,402,628,486,344,796,
263,512,560,532,712,833,856,311,243,678,343,509,689,459,692,872,648,359,260,
739,501,707,516,964,069,681,551,296,664,928,070,893,428,842,039,882,835,286,
173,085,585,367,840,814,794,329,337,211,324,129,332,677,902,751,073,295,693,
515,073,675,631,466,184,981,025,974,950,475,648,938,329,849,045,173,920,674,
046,707,848,873,229,411,838,445,406,121,492,486,897,073,031,575,951,941,103,
780,326,998,040,872,349,145,093,825,776,906,350,877,457,798,108,813,061,207,
454,553,505,666,344,825,711,120,111,876,066,587,680,025,698,600,668,825,748,
537,390,700,727,269,276,840,865,128,217,682,276,524,429,619,927,914,350,995,
453,927,017,092,343,396,245,316,521,046,449,082,585,408,461,294,146,313,038,
575,261,473,622,204,971,590,706,575,334,229,522,883,122,349,995,959,605,548,
215,336,981,609,540,712,985,706,945,984,977,921,258,051,033,358,257,088,894,
642,277,987,900,596,764,374,262,667,902,701,696,352,182,554,779,116,480,061,
865,886,992,546,616,707,879,376,808,499,537,619,264,345,754,786,740,066,646,
501,226,905,908,744,788,495,811,918,359,599,192,696,652,631,458,120,338,680,
125,057,446,717,801,414,665,651,300,839,343,925,952,584,439,691,718,641,434,
050,876,871,200,035,502,127,879,400,067,494,164,316,608,945,284,308,270,700,
623,000,419,753,951,454,610,573,318,208,146,305,806,283,673,884,591,159,086,
180,919,238,435,834,023,528,224,769,051,999,431,319,045,986,822,240,555,301,
724,015,605,742,594,004,493,651,044,834,175,888,271,322,312,714,876,378,926,
285,070,486,346,333,535,322,484,780,660,623,036,898,691,125,283,355,028,965,
216,488,940,741,271,505,743,747,973,634,179,197,253,821,218,505,547,076,570,
112,533,499,341,808,550,443,728,274,448,109,449,569,756,935,653,242,885,915,
999,532,834,403,982,450,359,564,435,464,768,100,885,869,418,979,472,051,054,
994,578,330,296,543,197,924,266,226,584,296,597,835,330,344,990,934,987,886,
238,025,869,754,411,765,917,574,575,876,756,544,387,627,932,474,411,351,965,
665,716,820,172,220,187,078,966,600,776,956,734,313,721,626,269,898,279,927,
590,203,365,612,788,292,545,370,104,934,245,995,813,692,227,534,333,462,681,
854,264,131,417,152,395,330,978,824,556,051,250,682,565,099,409,282,037,754,
043,240,258,904,769,587,835,933,502,164,976,055,361,080,292,914,096,666,395,
891,979,888,892,179,058,589,586,456,664,565,032,572,225,496,880,277,784,259,
955,362,108,632,394,316,689,202,940,331,482,289,592,308,361,742,682,237,804,
600,038,082,741,587,173,996,543,902,218,468,048,277,616,980,337,863,297,136,
876,836,184,935,824,884,073,282,660,132,050,620,122,761,042,559,303,769,128,
316,843,576,644,204,868,873,655,979,392,922,529,471,769,956,261,398,133,543,
675,321,680,713,688,868,178,358,570,543,739,355,624,126,353,219,801,529,806,
858,749,220,828,934,710,688,855,565,096,970,412,084,877,655,463,142,577,326,
153,892,703,155,517,006,921,915,899,865,924,649,039,437,748,381,838,907,303,
921,228,611,026,527,260,878,230,855,599,066,045,204,546,947,663,414,820,378,
248,556,742,206,400,697,911,847,337,143,353,081,068,634,962,170,531,792,196,
395,870,522,266,569,852,483,448,101,239,137,508,793,155,525,816,191,517,089,
274,979,307,775,586,796,347,357,715,850,497,203,761,299,778,308,130,530,844,
793,802,235,894,013,492,854,228,484,858,751,706,474,769,474,231,984,182,399,
689,428,654,776,505,106,001,716,758,122,165,846,746,970,622,275,431,499,311,
787,158,692,191,428,304,432,785,876,219,145,967,367,032,785,532,385,606,321,
244,756,303,498,702,268,394,269,947,501,134,023,631,324,893,448,737,386,439,
382,155,177,162,884,015,771,030,280,497,870,726,455,324,870,706,996,825,178,
735,253,554,160,399,121,334,629,082,317,118,924,359,107,308,841,394,878,307,
637,222,596,324,981,079,175,872,788,192,807,021,633,728,159,286,972,168,432,
792,878,189,533,394,677,179,049,115,380,896,856,849,180,438,274,818,361,743,
669,096,338,447,151,857,470,563,626,135,647,657,130,079,438,615,542,229,765,
499,072,920,136,139,019,362,755,235,218,850,121,549,866,061,001,119,408,896,
165,890,680,534,644,229,623,899,031,363,306,943,953,612,599,847,034,654,115,
628,343,419,286,036,493,046,582,234,361,413,784,162,860,333,080,109,593,515,
239,675,560,994,834,328,557,781,269,403,822,344,092,906,328,916,078,135,989,
248,597,944,719,282,004,205,680,761,648,388,125,319,060,259,305,599,510,544,
774,243,273,979,339,669,572,578,739,326,313,431,647,442,820,341,694,927,970,
692,448,561,229,944,822,428,573,361,945,391,777,186,603,357,744,220,547,675,
829,030,625,074,123,319,842,647,204,603,506,134,505,144,993,081,327,454,310,
750,691,928,429,638,309,919,292,498,259,455,364,562,470,648,535,199,270,434,
931,913,216,165,598,020,087,818,075,739,076,946,206,524,689,315,986,620,879,
377,684,496,902,205,124,052,526,483,432,627,327,791,714,208,180,464,846,274,
778,344,709,632,900,187,600,010,157,859,328,003,564,694,719,226,017,685,136,
505,546,740,697,499,372,460,783,481,915,483,728,189,938,260,430,911,242,519,
285,005,044,746,268,206,524,716,493,273,185,507,858,350,636,582,404,862,019,
403,562,036,997,688,566,984,250,443,822,282,896,432,199,978,026,270,115,203,
908,207,829,225,422,418,447,517,088,146,771,474,961,511,578,148,471,577,179,
988,207,285,854,221,083,336,709,776,730,883,280,334,751,952,580,364,160,363,
821,584,393,894,035,107,425,935,016,259,373,376,501,503,167,560,084,453,872,
444,937,443,613,064,753,200,825,733,103,243,575,534,018,585,527,337,857,578,
330,196,535,467,428,143,913,917,228,361,293,194,286,043,209,728,181,582,820,
442,072,142,393,422,272,329,320,653,089,584,743,876,112,075,758,809,515,653,
129,334,578,684,224,021,578,257,797,018,520,713,948,497,370,076,177,622,854,
223,018,916,332,285,625,069,500,404,564,511,986,832,161,399,075,784,897,519,
045,695,060,312,797,101,357,978,391,644,142,748,319,742,793,910,109,865,286,
105,837,998,134,871,965,558,554,591,614,540,855,139,290,274,829,441,400,570,
703,905,003,983,848,166,742,126,252,575,904,986,118,879,231,286,275,976,767,
748,745,781,911,243,475,003,137,595,049,219,832,240,549,473,963,788,438,107,
725,883,967,130,576,657,465,123,810,716,562,993,667,350,242,580,095,400,662,
118,692,639,357,838,449,769,520,021,942,067,825,500,244,168,165,677,461,492,
840,849,466,530,074,793,681,708,658,637,149,136,009,877,710,074,063,506,165,
488,716,147,720,992,507,791,608,140,185,156,442,345,722,948,714,082,197,046,
061,620,439,197,368,307,235,937,068,954,415,599,046,543,525,364,793,944,852,
628,292,083,936,743,406,028,304,907,592,247,105,211,810,612,759,251,708,215,
130,601,705,576,418,542,774,685,565,595,214,345,569,845,880,370,961,750,973,
883,063,855,016,866,024,675,698,697,384,959,568,530,055,897,000,616,003,793,
834,252,413,534,537,714,191,180,433,566,282,950,957,751,751,930,552,598,646,
996,583,285,678,111,855,225,118,802,021,745,971,402,459,979,082,170,589,180,
587,406,426,280,135,503,879,688,752,320,187,690,961,132,089,750,724,944,002,
978,738,703,686,325,053,112,985,788,142,829,316,585,260,627,518,585,458,726,
788,416,136,011,291,209,548,270,924,531,279,176,833,719,834,400,474,157,781,
567,721,954,170,883,085,497,929,633,841,718,953,428,871,801,383,018,637,469,
368,269,083,716,076,362,344,994,384,161,682,682,999,386,359,439,980,017,705,
729,724,018,802,066,937,370,044,681,547,085,102,749,780,596,646,294,612,257,
402,219,444,213,259,289,744,163,302,119,419,721,995,592,801,030,622,810,493,
801,172,369,360,835,950,953,979,469,164,425,420,006,783,565,301,672,268,683,
455,910,747,081,518,502,363,697,887,453,391,455,727,260,047,720,458,494,933,
388,781,147,885,223,687,013,737,375,066,109,620,352,581,143,511,732,645,022,
439,127,775,747,999,442,697,497,240,111,651,657,230,640,526,593,026,180,856,
282,623,461,688,297,662,299,239,761,947,991,088,937,365,400,935,762,366,031,
281,884,932,077,777,008,559,073,030,706,992,301,661,972,503,169,748,140,271,
504,925,151,720,726,404,639,953,412,317,907,157,483,691,747,518,473,587,618,
637,335,301,110,403,282,106,788,868,438,518,060,087,949,306,096,076,218,811,
525,706,639,381,772,018,489,496,732,155,365,677,973,140,464,158,799,385,082,
654,415,645,334,087,261,045,380,460,453,927,156,794,224,726,037,541,047,469,
894,883,905,104,158,247,045,299,380,678,622,549,601,112,442,931,759,355,105,
499,810,213,865,265,006,804,783,107,950,537,722,367,320,166,253,389,458,933,
234,563,026,498,400,514,873,986,305,441,868,729,537,488,888,762,733,040,291,
172,720,030,735,126,156,400,077,746,713,754,410,118,558,168,112,220,749,914,
367,029,628,206,277,553,583,023,345,164,023,409,104,063,371,159,669,620,004,
269,064,458,125,245,966,045,886,529,768,440,828,308,896,916,745,885,734,177,
023,566,101,738,901,047,363,645,789,343,498,468,689,912,898,373,556,103,113,
082,202,386,658,667,989,112,913,786,291,179,363,828,915,021,798,997,527,867,
263,622,906,497,849,379,380,858,161,795,981,332,110,554,889,625,902,461,013,
453,534,074,076,908,051,198,680,088,922,323,132,926,362,984,465,568,659,187,
390,383,954,343,621,233,184,579,145,791,865,040,623,128,686,796,860,314,836,
590,172,407,408,419,236,898,986,401,553,854,059,366,621,068,520,225,785,159,
055,197,503,306,976,205,841,839,963,711,590,308,521,755,479,230,292,738,208,
748,440,692,210,331,041,264,946,218,764,759,293,934,764,818,525,409,334,406,
707,656,384,352,288,679,311,251,705,543,200,174,398,657,359,268,457,623,041,
302,149,189,944,101,832,447,096,067,668,028,522,613,780,052,952,195,763,257,
261,086,288,998,763,830,386,733,286,952,214,792,909,530,546,863,718,546,256,
180,268,880,076,135,856,978,924,511,258,826,072,184,424,237,144,034,904,266,
194,508,825,772,435,819,501,188,265,253,104,766,199,750,059,930,872,404,405,
913,357,930,006,186,418,732,438,854,331,465,075,157,010,045,997,820,996,147,
153,617,840,838,552,446,592,766,127,305,916,722,343,027,720,188,833,555,022,
394,536,305,117,514,040,130,576,526,487,935,009,077,502,594,306,948,424,941,
354,774,160,886,849,698,363,078,635,474,626,112,475,066,977,768,963,772,841,
450,305,279,883,923,340,448,630,783,011,309,230,777,596,688,069,881,880,227,
888,882,213,973,527,755,625,070,557,081,056,753,661,083,779,611,931,272,390,
739,620,500,884,867,402,421,261,544,631,591,917,640,705,226,769,994,124,585,
295,614,393,690,978,018,596,940,722,827,683,735,780,010,035,895,725,607,259,
917,996,066,755,528,805,211,146,621,105,509,498,453,473,146,611,291,765,339,
588,391,851,959,269,874,428,874,638,534,714,359,762,634,243,732,816,423,070,
929,672,080,657,059,525,701,528,402,698,731,959,275,912,019,668,129,083,503,
542,495,145,703,483,342,286,875,783,445,118,312,570,465,465,720,688,342,034,
688,742,757,047,370,019,150,130,231,347,913,208,121,821,518,192,422,668,949,
111,814,851,170,693,476,290,384,630,740,748,767,330,498,338,600,634,811,875,
498,650,590,981,111,417,928,585,772,504,952,079,101,836,954,231,356,174,908,
817,284,424,904,055,504,146,706,283,386,442,900,658,424,315,300,279,579,013,
327,292,995,258,705,390,112,334,413,226,294,479,436,304,677,610,647,608,207,
013,718,025,958,663,441,731,356,325,214,259,286,218,096,396,418,044,209,411,
007,354,783,856,260,251,328,293,515,526,078,392,373,943,321,732,449,820,800,
472,351,342,721,194,545,207,238,480,491,462,537,626,431,984,761,734,187,382,
547,625,981,665,708,303,769,288,474,163,875,774,418,471,232,995,921,736,886,
065,201,657,350,943,072,643,773,439,333,890,334,350,500,349,947,716,434,066,
241,753,584,278,693,826,294,090,225,302,618,444,369,940,190,720,177,411,987,
012,540,712,141,196,541,638,563,297,796,017,181,055,313,173,284,399,866,820,
866,446,532,278,578,409,592,497,972,782,286,460,630,394,624,475,342,714,752,
596,718,279,689,711,188,825,869,922,400,267,082,696,581,626,734,636,149,246,
562,633,931,955,494,025,790,779,873,616,883,081,635,315,310,094,474,912,842,
496,810,426,815,942,485,114,092,665,744,710,349,417,990,412,192,765,819,136,
632,014,386,514,619,515,084,643,871,272,396,932,417,763,452,866,514,778,337,
640,061,963,784,661,033,998,832,235,025,372,348,759,293,725,524,018,688,478,
289,544,445,950,894,876,655,611,306,674,928,812,265,121,936,960,107,321,326,
988,320,661,352,731,066,811,274,702,597,583,715,965,821,496,935,559,496,098,
820,739,901,849,695,354,360,397,689,677,457,877,923,766,686,523,765,278,893,
990,976,637,552,539,698,526,159,928,063,742,423,430,725,566,775,137,613,410,
436,979,136,101,552,432,111,680,016,330,837,384,254,365,553,417,733,185,220,
791,401,276,956,826,592,618,341,262,900,008,626,851,671,780,753,261,626,307,
858,468,746,126,064,442,083,369,063,829,850,580,699,827,664,024,206,568,358,
159,918,360,157,676,806,729,659,133,869,730,479,405,747,869,855,571,843,253,
937,907,394,538,817,020,926,047,055,751,046,044,443,315,947,824,752,844,964,
297,120,054,490,245,635,724,902,230,671,463,470,430,720,717,431,959,646,518,
515,171,879,843,845,845,971,009,047,691,671,393,671,348,790,552,759,953,930,
787,760,609,784,166,134,085,846,031,174,527,167,901,573,941,600,039,122,126,
610,533,447,108,855,731,008,341,650,129,684,099,547,367,983,606,173,536,032,
053,091,114,214,426,619,422,245,752,891,354,882,413,970,925,749,498,582,302,
936,448,102,911,930,546,645,241,324,414,523,330,749,352,872,786,099,950,785,
652,411,981,382,954,635,241,065,928,821,838,316,893,789,827,852,995,299,025,
485,049,417,519,272,185,405,424,060,547,113,177,536,811,795,465,570,880,397,
377,966,339,333,535,649,977,861,211,199,213,601,879,534,799,059,956,947,756,
107,931,185,340,526,911,658,573,459,523,038,782,892,157,128,616,327,057,863,
558,166,269,459,067,452,756,676,390,039,532,778,740,362,158,670,277,283,826,
006,779,585,090,470,141,744,819,299,946,585,635,240,318,122,356,886,671,832,
661,003,643,996,456,696,731,062,595,142,002,299,425,051,120,217,760,491,533,
333,821,254,330,097,401,096,670,247,381,318,003,920,998,863,082,048,050,516,
271,411,243,805,461,551,605,253,251,913,068,521,339,120,858,331,181,538,633,
647,539,073,465,954,048,138,334,178,154,302,897,064,544,358,100,650,349,670,
872,740,676,276,703,118,762,978,535,369,235,026,164,386,213,351,951,497,581,
345,239,294,113,572,767,160,728,919,827,261,540,884,925,953,001,400,698,554,
422,368,167,899,553,026,595,426,974,823,327,992,651,858,148,395,260,673,310,
517,485,630,022,962,211,133,092,910,175,472,889,079,473,796,917,181,846,814,
062,534,254,282,228,338,343,941,482,942,575,117,863,836,402,814,003,796,037,
368,757,283,434,864,250,696,209,463,001,665,156,914,721,110,339,116,581,130,
854,550,732,897,172,295,566,257,808,860,498,392,180,252,382,026,575,884,195,
233,364,160,901,259,693,973,321,990,821,868,410,319,504,713,582,770,443,424,
674,633,986,046,562,631,837,971,130,123,524,120,041,397,534,049,380,881,583,
591,625,026,549,936,917,764,891,242,840,542,143,173,019,707,786,254,475,445,
938,417,943,229,681,270,972,149,960,071,918,939,608,394,851,359,879,633,071,
505,306,907,525,497,961,460,440,166,327,541,593,925,182,311,321,063,426,805,
301,800,907,541,091,296,517,161,634,509,508,696,571,015,115,892,827,771,561,
947,945,443,919,883,806,808,239,674,578,037,461,278,997,103,438,422,253,020,
832,354,284,358,997,353,679,200,303,481,669,280,850,060,467,733,637,925,574,
914,257,430,858,910,641,703,505,205,249,873,130,811,223,356,042,560,134,887,
576,662,122,326,525,874,370,503,494,411,213,285,161,271,312,858,321,556,650,
736,863,775,549,524,550,724,996,757,530,257,114,406,069,827,897,241,492,663,
765,362,668,360,515,137,691,809,183,357,395,276,148,135,598,696,967,933,962,
740,027,753,742,097,955,085,207,678,145,826,042,698,929,488,962,042,426,906,
885,490,181,748,222,603,145,394,350,426,989,278,052,209,245,081,494,170,824,
646,968,057,778,942,617,555,408,022,226,652,124,389,768,719,858,288,421,141,
440,818,350,312,148,103,965,426,595,478,773,668,598,535,742,740,000,374,023,
032,541,253,759,682,890,936,680,603,978,621,140,500,154,766,138,698,155,461,
731,870,437,998,847,785,304,509,081,850,085,659,293,057,836,974,209,559,882,
879,349,973,091,078,989,115,857,338,471,239,438,432,293,353,407,691,455,894,
645,469,576,981,766,028,230,993,081,318,683,677,575,471,395,364,802,755,051,
452,128,518,717,964,192,313,923,933,575,399,870,643,978,459,483,134,222,121,
572,899,077,625,700,667,564,297,294,741,306,126,144,589,123,893,793,316,505,
028,882,150,525,741,641,300,917,047,684,349,088,647,396,707,938,249,342,187,
034,287,048,845,780,519,097,451,420,204,375,495,446,854,516,614,882,257,000,
200,791,255,464,995,210,186,978,742,201,091,481,090,139,497,559,681,797,130,
796,531,733,816,262,772,406,042,017,832,296,629,917,005,561,775,308,468,506,
042,335,706,675,344,410,307,170,250,872,209,670,233,799,521,401,025,285,642,
606,485,275,968,081,570,480,358,345,892,369,924,937,540,045,854,495,515,876,
584,983,747,411,046,111,715,458,029,308,164,980,213,807,882,307,494,011,192,
442,641,833,711,336,825,814,683,124,192,611,711,639,066,721,760,793,190,621,
838,513,110,186,236,609,470,920,447,838,175,164,781,326,160,821,825,880,233,
672,586,730,893,580,413,641,113,444,750,407,577,107,436,147,992,068,592,702,
477,860,159,133,119,747,137,924,853,332,260,647,286,381,412,642,314,598,469,
494,386,493,925,891,618,472,629,025,049,462,897,149,527,624,296,919,040,384,
199,359,100,527,515,207,726,158,145,704,238,901,055,265,874,872,743,883,386,
329,809,524,199,378,205,206,210,013,048,677,182,036,191,005,708,079,851,747,
712,863,511,445,052,853,593,081,458,892,945,482,957,480,807,969,348,718,459,
624,850,514,616,317,309,215,980,795,258,570,044,957,921,469,932,051,917,442,
097,835,991,723,011,363,588,726,071,656,160,874,655,781,979,343,067,104,496,
072,138,244,374,627,006,399,087,417,221,707,092,561,734,411,618,541,564,435,
406,109,717,237,528,052,138,191,813,699,769,207,687,765,077,333,947,358,449,
487,895,764,129,241,217,289,376,819,942,840,817,690,651,415,371,323,334,748,
220,898,413,817,626,781,460,870,353,191,662,442,385,761,517,284,854,029,887,
616,449,821,749,738,703,763,235,859,950,582,018,972,152,881,176,327,028,550,
904,950,750,122,051,464,194,955,862,993,942,237,418,792,569,106,953,988,356,
999,258,970,488,549,631,389,848,480,959,446,644,521,389,557,849,002,520,360,
665,337,097,037,491,647,374,870,407,041,414,593,345,291,854,482,153,212,686,
250,457,019,768,391,104,280,202,870,025,441,002,658,528,503,477,622,538,057,
065,015,856,996,390,135,329,119,047,602,626,044,650,624,623,507,262,216,199,
766,262,354,408,221,065,778,084,123,157,161,809,199,531,095,507,594,769,029,
494,703,724,830,899,385,376,404,623,593,535,717,963,742,113,857,332,604,032,
383,141,077,651,531,671,195,511,917,720,442,904,873,260,743,117,779,135,288,
998,096,962,506,220,952,036,721,108,837,160,006,221,337,358,150,840,021,485,
045,135,813,336,029,088,819,015,410,696,853,965,171,180,900,625,614,490,071,
314,686,787,472,248,766,938,393,687,103,160,272,666,108,303,624,282,332,431,
440,972,614,455,322,921,297,300,391,325,811,047,936,403,233,870,843,900,323,
126,868,283,771,320,636,273,748,877,476,000,500,952,121,716,422,863,993,598,
354,782,422,808,014,209,469,728,422,134,695,783,091,514,158,811,540,071,032,
767,548,718,474,461,984,758,620,103,223,207,556,703,011,854,998,693,102,407,
433,897,472,457,161,029,965,497,240,121,040,667,308,272,918,602,774,528,272,
947,831,981,394,502,484,543,669,282,804,254,419,200,857,643,143,949,204,927,
786,265,407,198,774,215,468,519,186,819,550,130,649,328,675,641,759,813,079,
757,753,276,285,958,992,138,512,652,180,204,761,294,482,071,400,651,006,539,
938,078,235,317,572,968,984,577,648,951,568,623,676,396,209,395,879,302,677,
615,668,410,950,677,316,753,024,441,408,268,948,768,785,076,599,433,509,075,
421,983,656,550,414,701,156,381,335,565,725,721,398,203,393,546,671,429,898,
445,469,811,951,415,249,044,189,229,899,808,118,890,438,966,064,265,686,450,
223,017,845,337,696,282,115,425,722,728,840,965,752,408,094,159,185,936,305,
826,134,147,232,503,428,830,434,803,600,935,079,498,477,165,721,640,986,198,
899,567,885,229,644,150,141,328,795,783,040,906,320,413,622,603,187,544,440,
822,312,261,660,638,018,656,380,303,273,867,213,245,788,143,584,353,949,848,
953,934,722,355,823,882,706,434,620,982,541,834,134,006,331,318,733,135,640,
051,809,873,992,952,918,643,996,347,886,902,109,049,921,040,246,652,933,775,
442,918,561,624,303,419,126,061,603,055,197,766,762,332,269,626,905,044,706,
549,795,829,381,481,861,550,179,427,329,437,915,209,806,109,936,286,521,113,
023,018,181,994,657,765,376,973,886,318,359,838,619,808,746,411,712,721,799,
561,212,906,045,983,542,342,075,210,439,855,807,169,138,064,242,747,578,123,
665,504,010,540,279,758,825,948,350,495,422,223,971,447,152,719,032,214,374,
645,073,046,485,073,639,364,557,399,038,079,997,715,188,277,467,203,995,704,
683,617,462,865,055,624,410,876,754,418,421,377,928,031,837,458,803,550,115,
767,253,210,755,646,582,696,749,430,056,035,186,296,387,871,719,562,759,986,
252,170,493,159,717,647,460,479,413,888,701,306,385,840,965,014,176,485,699,
606,197,260,390,036,554,771,628,895,799,631,792,994,738,625,676,353,217,249,
071,862,433,549,378,136,244,685,987,955,745,277,118,114,351,393,257,622,783,
886,692,755,310,503,163,446,992,737,581,743,555,845,390,244,307,491,509,955,
763,871,530,032,951,927,345,814,727,774,022,186,683,844,583,769,029,408,870,
484,791,520,714,581,955,408,675,836,838,732,498,793,616,222,472,857,504,160,
089,173,989,505,140,064,813,666,240,300,626,938,264,333,759,095,052,515,701,
355,260,246,441,459,652,710,484,161,444,498,885,852,158,280,229,820,103,335,
749,980,196,166,289,889,025,107,646,308,137,304,641,305,721,778,551,382,471,
807,292,901,270,689,248,933,091,175,360,064,911,208,688,609,572,607,284,019,
197,402,213,275,353,214,354,039,917,392,664,933,169,454,701,005,358,064,017,
839,312,776,226,656,048,678,135,123,034,165,734,007,490,318,460,281,333,075,
337,975,647,910,220,724,398,022,009,446,000,678,288,910,189,084,085,258,139,
683,999,452,817,696,631,079,918,620,574,206,903,262,477,373,810,734,548,625,
392,778,814,492,403,421,853,955,415,225,539,752,291,427,417,605,683,090,894,
153,853,142,423,997,849,574,446,793,730,890,015,246,131,422,284,883,740,687,
913,998,101,823,852,855,688,342,035,455,327,235,552,444,293,227,506,289,388,
496,498,809,004,822,338,433,343,978,038,496,448,593,322,416,036,910,539,508,
104,253,012,765,669,815,407,792,794,967,667,397,093,093,496,760,483,265,517,
286,786,132,066,083,118,690,819,730,326,197,064,464,824,174,540,834,653,933,
077,531,663,373,376,988,487,561,249,368,876,431,911,792,721,458,302,331,111,
943,780,849,925,509,988,457,840,449,066,361,159,474,337,302,499,459,429,422,
652,384,050,056,106,692,946,980,824,963,121,901,193,713,106,439,454,501,508,
055,455,691,195,699,019,190,606,800,542,562,962,958,365,265,450,598,778,247,
308,241,735,765,179,611,521,701,104,096,335,208,825,305,312,458,300,398,894,
484,842,132,266,952,365,475,725,409,773,398,934,794,570,413,679,942,485,547,
660,551,384,128,321,424,957,034,106,151,243,866,323,602,838,265,794,533,057,
063,730,746,918,640,500,391,907,486,026,031,710,925,977,984,993,512,752,683,
099,924,033,506,309,933,088,056,902,603,712,402,254,510,291,922,812,730,048,
677,961,030,545,881,923,664,029,602,591,994,681,185,265,696,057,763,013,056,
323,239,651,072,623,199,573,793,717,152,418,941,415,419,417,014,234,626,166,
213,868,933,557,062,689,771,024,209,436,288,892,084,645,601,916,961,542,375,
044,353,201,582,404,465,242,993,167,404,615,547,890,797,429,550,991,564,465,
415,445,793,529,834,639,024,262,357,599,994,642,464,107,312,340,718,862,923,
184,585,840,911,315,777,363,393,466,784,043,902,072,150,327,125,097,119,671,
448,877,595,549,015,301,648,214,965,453,088,561,011,895,693,523,819,727,283,
603,039,272,911,024,405,877,661,299,165,374,574,770,428,694,292,994,232,832,
751,823,248,734,246,601,105,594,266,177,998,294,452,858,946,870,946,819,229,
278,857,480,846,240,320,475,405,261,355,534,512,997,450,612,813,850,773,898,
872,339,743,568,089,332,721,399,414,770,671,690,359,236,280,677,424,509,151,
351,595,234,096,793,022,735,860,456,340,824,502,776,132,775,893,647,225,371,
393,871,267,748,514,734,244,112,425,838,731,477,213,295,541,579,481,086,997,
518,283,456,489,490,203,213,410,803,502,314,884,058,092,011,636,687,800,834,
367,925,364,618,230,525,585,068,776,278,033,926,941,338,443,181,127,037,730,
056,907,742,128,928,779,329,064,934,902,718,641,891,420,457,583,305,409,621,
358,760,772,826,513,942,241,269,588,074,474,684,507,626,485,841,617,499,765,
589,907,167,932,004,918,900,036,366,879,662,238,771,160,384,538,793,745,968,
456,031,320,647,815,882,040,307,863,504,479,239,187,655,600,505,381,228,374,
567,221,198,859,248,624,004,280,048,858,053,648,997,735,755,672,075,183,490,
909,359,692,368,855,533,952,799,770,374,559,856,626,154,366,015,969,660,787,
967,230,390,942,691,916,285,341,951,079,180,385,702,656,572,338,888,683,553,
399,424,111,931,138,822,265,646,846,739,739,918,417,251,080,487,430,939,503,
469,420,151,560,870,933,865,854,626,121,933,736,720,752,742,868,264,741,667,
562,301,382,510,314,988,959,755,977,819,375,193,363,654,861,548,481,841,132,
906,301,633,671,039,632,610,554,525,843,622,512,650,687,365,193,522,298,941,
510,029,883,325,539,468,612,851,387,182,129,935,351,360,837,593,910,304,114,
240,549,888,072,647,265,835,541,133,624,728,735,218,086,496,324,680,331,579,
175,370,281,021,035,418,973,432,950,677,401,915,990,743,282,086,822,622,157,
199,068,094,654,227,122,516,598,598,639,153,333,415,280,182,502,783,709,084,
045,330,523,415,590,609,548,524,502,220,447,524,772,755,735,015,173,947,244,
270,550,193,409,962,548,547,895,349,112,581,988,590,467,139,471,107,898,412,
650,687,377,166,350,206,606,260,148,185,860,014,653,664,003,647,667,289,991,
181,757,842,367,890,521,800,117,123,478,149,267,856,730,221,020,253,824,727,
773,109,894,649,955,757,489,334,601,226,686,348,094,770,108,247,361,322,749,
401,323,345,254,122,828,705,738,914,801,344,107,937,888,719,009,934,863,135,
812,846,897,943,503,588,253,940,419,137,889,268,864,532,797,783,769,102,721,
995,237,777,690,991,170,139,848,649,777,459,781,935,644,800,318,662,466,516,
919,890,051,175,167,000,387,721,614,410,487,198,683,647,950,437,575,370,262,
692,349,228,160,791,380,591,669,843,530,640,381,996,158,136,459,119,886,298,
269,044,649,651,432,137,663,747,385,672,881,160,339,223,272,188,346,705,298,
868,942,147,131,536,927,536,038,598,612,931,082,316,918,221,560,897,130,480,
717,935,670,514,453,462,076,605,259,368,491,399,218,768,443,615,923,990,213,
565,860,089,133,845,057,793,818,935,583,313,349,683,781,315,732,881,709,100,
902,318,959,467,924,313,069,305,928,721,260,804,719,760,362,426,425,381,295,
857,693,231,596,829,565,710,632,629,967,847,347,569,493,800,066,974,576,128,
952,135,625,558,010,539,117,395,502,229,156,727,764,564,549,399,189,470,669,
219,476,607,969,582,492,968,130,539,651,147,883,858,849,358,189,095,322,002,
221,940,953,887,249,083,721,705,469,051,666,179,019,949,537,027,376,029,799,
007,679,187,461,023,862,027,378,852,504,309,885,900,852,753,520,491,611,641,
441,403,420,062,092,386,487,723,001,175,343,611,339,184,187,477,280,413,618,
508,637,234,777,885,289,135,571,843,890,855,234,173,604,823,647,851,557,623,
683,575,445,290,097,249,016,684,343,355,104,548,662,782,527,330,313,706,104,
477,025,318,397,586,232,614,404,548,443,228,379,619,844,272,191,969,697,221,
634,682,221,318,871,996,551,035,059,902,771,573,273,509,010,196,124,724,942,
932,847,766,067,759,953,264,677,894,123,115,187,369,199,290,524,208,178,729,
349,636,658,716,607,850,727,190,872,652,069,744,726,700,163,627,876,924,384,
302,690,555,647,042,799,835,457,968,449,704,054,293,177,153,357,432,476,309,
557,273,897,151,499,300,033,016,624,808,402,660,356,772,475,859,104,248,811,
910,258,978,298,564,474,738,120,848,285,894,698,963,640,536,397,463,466,387,
099,557,336,100,892,405,531,689,851,582,299,781,138,493,324,686,957,948,262,
944,065,873,994,292,964,727,743,383,326,564,117,985,112,985,265,417,235,306,
185,141,871,324,240,388,678,813,285,063,129,055,324,887,118,432,879,005,261,
711,327,188,140,641,925,117,196,326,209,989,146,206,441,648,873,721,220,051,
426,563,799,005,134,518,869,953,037,980,336,601,706,930,369,286,035,682,453,
851,964,140,704,813,488,086,888,879,213,796,174,434,062,725,177,654,430,358,
500,342,124,276,699,514,696,552,008,430,449,207,766,207,355,376,855,747,281,
688,054,297,969,693,280,021,305,022,760,167,564,840,495,565,472,088,669,764,
995,659,538,596,371,653,065,828,509,008,873,255,044,340,673,407,853,394,734,
795,861,758,005,083,008,042,695,162,930,043,869,473,869,123,830,687,156,042,
050,450,542,318,725,589,631,563,692,714,849,464,808,075,365,677,496,636,520,
674,544,039,201,586,933,095,296,394,857,235,171,807,138,709,165,554,324,904,
060,802,498,221,566,598,946,954,582,723,267,056,125,173,993,506,085,901,992,
378,881,561,612,113,196,421,268,029,583,534,295,579,234,405,077,872,181,418,
410,285,181,825,478,334,715,101,578,578,359,929,314,225,282,313,111,262,314,
048,772,703,128,888,036,758,748,016,067,642,572,329,163,670,689,821,496,083,
525,267,901,515,764,440,764,778,219,111,995,266,163,923,369,422,119,601,810,
756,043,380,010,063,487,096,633,652,380,684,608,762,354,475,558,056,949,984,
541,319,031,795,725,896,977,220,280,577,268,341,813,596,267,961,601,075,503,
336,102,869,577,462,107,289,638,783,725,986,516,400,780,790,679,481,901,222,
069,203,643,941,969,806,795,059,951,446,742,771,062,560,748,238,115,272,730,
840,621,747,440,874,272,186,099,305,527,918,385,193,820,698,541,630,474,006,
798,585,806,775,034,063,752,263,305,838,156,079,616,973,357,447,199,289,268,
335,288,596,119,360,439,680,456,775,616,908,635,403,920,558,236,629,170,501,
747,857,629,685,361,299,313,943,734,129,035,698,782,532,027,163,046,618,293,
551,164,623,854,662,453,080,004,346,618,669,403,234,595,060,438,926,748,048,
771,038,735,210,252,644,994,953,438,480,083,133,835,309,096,966,212,843,737,
198,923,445,812,692,776,961,532,739,542,077,647,346,885,854,233,563,948,828,
928,226,770,595,052,191,195,353,385,650,792,460,165,770,355,110,664,229,039,
839,557,573,547,185,978,258,965,665,875,975,862,830,079,758,481,529,272,444,
941,263,049,783,260,320,924,692,106,202,704,089,097,358,792,535,758,104,410,
688,805,801,662,680,190,673,067,981,785,545,964,027,199,402,518,187,788,248,
295,365,617,828,100,256,054,455,904,983,027,554,251,119,074,011,747,134,343,
757,158,578,916,818,351,663,159,266,820,548,591,771,367,794,112,571,286,640,
443,946,677,462,603,815,237,665,847,211,232,749,673,675,280,958,459,054,367,
801,489,897,171,927,580,415,205,483,935,988,662,935,712,579,600,836,896,442,
533,532,953,713,547,430,521,496,146,819,940,042,379,894,342,187,470,877,085,
348,172,459,890,835,907,027,497,566,320,328,031,438,958,021,712,044,724,213,
758,565,197,031,475,262,312,900,739,597,663,666,091,705,319,009,073,924,274,
795,342,202,071,510,356,272,002,014,768,859,173,658,694,611,086,989,801,103,
058,983,817,536,715,901,066,025,378,904,454,054,807,117,917,213,206,756,028,
730,974,643,904,000,558,481,576,328,978,697,064,238,569,545,401,561,668,036,
991,475,834,014,440,182,652,539,812,205,231,953,565,903,546,421,776,365,635,
288,142,177,067,843,146,999,453,135,799,029,560,557,041,696,758,169,761,953,
481,709,537,064,201,339,702,747,814,084,322,517,522,518,325,890,682,043,268,
761,310,220,527,402,098,090,701,834,944,629,615,675,796,617,137,604,805,158,
470,253,721,727,236,385,664,019,126,024,600,087,044,645,095,376,477,400,643,
997,717,103,156,735,521,155,165,228,916,234,306,022,419,232,807,220,656,786,
595,956,245,963,077,922,940,937,983,191,623,052,325,346,035,242,419,682,356,
813,652,795,889,272,317,742,802,611,959,246,193,694,088,163,093,737,035,022,
921,942,887,420,350,541,939,188,193,675,377,318,518,622,440,507,586,393,947,
389,285,627,201,699,143,673,836,828,878,476,763,491,029,134,335,598,579,636,
371,400,304,215,776,701,340,417,614,126,902,824,941,325,624,566,992,298,451,
866,980,069,980,836,163,713,284,752,559,683,893,479,286,413,908,050,815,728,
428,798,877,529,322,726,463,905,406,447,327,518,814,989,290,888,806,928,248,
144,787,831,863,295,700,127,010,125,534,896,512,897,129,272,914,467,419,730,
331,142,499,148,809,467,244,496,750,244,846,640,127,909,488,209,945,077,375,
433,902,985,430,132,155,551,077,863,550,410,687,267,558,243,589,975,886,491,
707,266,770,027,038,143,026,659,356,585,848,773,007,785,185,497,048,692,246,
529,607,173,465,207,853,313,065,924,475,484,099,036,455,240,435,417,257,116,
152,198,020,492,055,182,183,918,966,879,173,863,617,958,654,776,154,449,678,
067,198,262,237,317,913,917,574,022,394,892,906,006,202,267,368,268,495,271,
583,351,652,357,710,226,358,619,402,728,646,787,091,317,751,558,926,065,942,
285,619,798,556,452,761,008,082,056,854,173,420,309,839,588,477,810,713,162,
677,129,839,579,006,482,336,246,898,109,174,531,370,845,199,529,800,202,250,
544,146,049,823,099,636,687,176,562,772,971,579,782,373,813,404,378,189,594,
572,910,499,706,255,241,341,717,515,465,284,742,631,015,729,724,406,396,487,
233,563,829,322,189,644,614,545,787,096,166,930,105,748,203,001,415,350,673,
325,852,638,084,250,181,880,893,686,218,237,690,494,858,760,311,221,253,400,
566,329,230,162,722,345,178,765,349,808,510,610,476,114,470,397,729,872,670,
429,166,963,230,483,669,180,824,194,020,560,949,661,242,318,289,665,078,859,
771,485,271,762,290,062,936,222,247,786,968,170,579,370,132,812,966,528,347,
296,761,212,310,165,631,066,513,700,513,095,574,144,788,210,584,989,107,212,
468,069,580,329,576,078,073,292,742,839,862,275,707,031,649,606,221,410,303,
014,449,332,694,381,746,788,792,143,894,934,333,456,073,886,908,757,592,229,
657,677,235,773,501,406,299,937,836,801,023,013,003,741,435,750,183,573,120,
949,641,804,530,956,871,815,790,539,338,668,429,604,066,936,931,499,901,548,
627,940,989,169,075,591,808,850,913,571,821,736,297,578,995,568,058,040,653,
261,893,879,613,262,194,017,036,875,283,192,860,572,353,830,231,224,320,256,
715,970,914,126,895,839,560,981,640,731,960,100,642,604,664,722,463,321,240,
971,095,128,450,987,638,535,841,131,725,618,394,828,049,231,583,684,097,634,
617,498,508,707,065,529,797,192,531,248,596,773,626,438,477,232,337,451,364,
807,917,890,094,128,790,500,362,781,258,186,557,434,418,817,855,318,963,427,
937,927,238,508,484,798,571,191,200,174,441,946,981,732,535,927,066,053,454,
811,610,590,381,995,365,575,090,047,884,362,202,051,608,361,697,328,006,502,
865,210,747,227,508,067,868,286,975,883,279,496,005,122,036,237,492,478,918,
961,487,575,155,459,745,612,117,546,237,743,448,062,526,338,468,748,788,056,
778,706,594,671,931,020,882,449,420,733,400,458,703,132,129,291,963,912,765,
654,590,824,921,325,266,229,851,788,533,418,928,938,871,616,265,812,300,894,
507,722,944,968,589,828,328,752,554,512,457,839,162,390,409,689,476,743,128,
218,304,857,042,905,149,385,109,926,896,246,682,092,837,898,716,451,407,906,
851,384,879,280,352,858,635,730,766,793,347,626,465,752,702,328,532,295,570,
212,922,009,136,320,436,633,065,735,587,817,970,908,946,813,487,675,301,464,
064,092,091,971,329,968,780,070,233,582,605,899,378,364,031,950,683,143,394,
348,462,500,318,788,836,922,754,986,299,614,907,631,404,701,172,529,577,678,
394,563,276,501,205,480,139,199,114,130,371,017,402,541,321,788,836,774,898,
429,266,904,513,234,917,409,619,793,925,157,414,000,352,830,330,841,133,887,
527,059,263,619,286,671,646,245,232,506,530,964,876,046,675,945,901,461,851,
833,467,946,188,403,248,299,242,494,935,801,165,855,639,493,748,628,935,251,
593,814,745,453,621,813,749,252,029,466,527,127,293,207,588,413,112,308,226,
648,527,029,922,507,152,361,674,092,509,100,251,100,479,836,637,606,559,557,
811,984,792,389,209,623,430,657,791,075,879,021,066,571,033,092,132,422,787,
019,999,142,023,486,525,142,835,268,523,168,250,588,556,429,476,241,595,982,
900,335,922,463,158,998,405,725,467,844,078,962,071,868,302,164,782,886,138,
654,886,170,949,620,788,023,820,053,015,310,519,041,438,560,563,804,918,858,
494,102,923,256,043,155,217,894,971,237,597,541,567,147,931,293,306,192,625,
074,985,080,848,471,143,156,773,613,526,461,017,411,095,146,574,039,500,964,
904,605,072,625,828,604,365,280,993,917,544,855,205,394,381,817,763,525,282,
901,357,449,029,880,783,790,302,176,583,275,707,401,222,680,549,491,231,779,
576,782,929,586,688,639,569,797,205,121,955,103,706,353,284,050,631,177,535,
666,824,810,433,392,451,442,017,858,009,949,117,013,148,285,976,545,728,729,
659,051,955,635,418,080,936,944,768,512,352,362,990,733,776,252,037,334,346,
861,053,251,173,772,322,059,300,308,059,761,328,880,866,916,964,102,525,200,
653,466,229,651,235,174,148,461,244,461,882,215,820,715,409,601,511,920,376,
277,803,357,425,579,516,243,743,446,291,349,741,125,273,387,396,104,721,296,
103,351,223,974,991,287,710,984,610,654,446,379,759,482,399,363,155,168,209,
444,112,396,391,591,868,831,578,311,904,209,736,319,598,471,546,041,261,815,
893,358,662,092,968,213,914,519,879,626,716,290,197,441,419,190,415,546,971,
698,493,671,940,353,060,764,853,248,702,392,829,182,929,579,500,906,989,064,
462,596,114,406,342,042,714,554,785,002,090,820,837,601,856,921,112,533,879,
395,529,330,399,907,002,299,501,516,488,969,050,744,815,207,760,614,559,779,
082,775,971,498,443,542,038,343,711,343,190,926,953,351,181,147,653,516,158,
765,905,410,008,254,216,802,274,485,389,435,151,534,307,596,117,436,087,448,
413,781,930,202,818,097,822,198,722,521,992,290,254,459,719,121,455,747,352,
224,431,528,903,285,433,980,633,010,514,357,738,711,808,037,804,804,514,285,
887,935,899,532,965,146,692,554,534,303,829,364,432,604,453,613,632,182,680,
755,995,368,189,299,891,652,076,187,241,801,669,801,273,373,003,773,890,750,
696,631,109,660,333,271,640,889,192,399,722,945,318,229,202,873,522,999,216,
434,222,254,613,886,243,005,479,834,179,041,436,554,554,994,551,929,146,435,
011,998,375,537,032,223,621,058,157,929,470,581,354,154,619,255,960,208,742,
695,059,014,932,733,755,182,629,134,527,860,920,736,559,811,738,852,475,883,
855,169,526,681,776,235,596,004,755,364,597,480,602,484,047,889,167,372,825,
416,346,605,963,496,104,870,912,746,104,873,866,328,747,272,508,390,998,704,
431,445,116,964,238,335,004,659,074,381,111,098,720,801,172,870,682,425,648,
154,847,639,479,721,943,935,948,282,977,923,645,513,791,247,239,667,060,021,
451,927,240,578,706,281,917,255,464,479,534,975,243,653,392,577,697,111,820,
934,305,851,542,613,797,449,475,484,725,580,757,485,825,375,384,564,306,890,
408,128,386,590,888,343,407,091,113,137,374,141,807,931,485,696,437,215,993,
182,950,209,899,751,633,360,197,885,082,903,282,237,192,611,012,521,671,989,
548,321,109,066,074,974,079,899,040,369,614,324,216,681,970,036,079,924,258,
038,604,750,965,148,843,511,135,882,903,416,542,631,328,777,778,647,364,795,
096,564,295,762,423,863,819,196,278,044,229,295,303,009,389,019,215,241,720,
211,295,959,942,902,016,114,325,534,753,115,247,777,411,382,920,265,206,143,
424,144,201,150,124,421,847,285,035,005,369,946,766,767,073,434,893,838,922,
082,463,524,770,059,789,584,572,505,468,872,348,536,587,229,848,975,822,523,
253,946,159,000,962,132,125,032,574,511,960,173,412,811,944,991,692,709,445,
527,196,162,352,860,472,779,986,327,202,566,692,293,495,495,782,397,967,296,
975,934,606,420,218,332,441,873,788,941,498,614,842,011,550,074,352,554,925,
745,235,433,577,898,876,542,950,057,640,280,462,989,799,138,450,950,776,067,
722,284,898,260,708,816,979,287,846,997,953,067,450,442,216,912,403,621,098,
501,042,860,793,664,784,195,380,208,230,532,120,577,826,913,976,589,176,444,
612,712,645,950,343,910,687,229,322,731,461,990,105,886,592,294,458,858,542,
461,786,301,187,078,441,385,992,116,651,215,454,923,896,280,645,234,491,699,
186,742,265,324,754,820,124,263,072,495,398,079,471,181,468,073,640,506,045,
920,571,851,175,114,043,137,344,506,197,151,728,643,179,110,741,093,893,851,
213,467,664,287,591,630,446,765,582,765,533,016,056,900,639,260,182,578,945,
491,122,705,005,057,577,839,020,429,520,286,294,740,861,262,315,079,015,848,
866,147,838,275,454,605,381,634,443,370,704,648,568,106,144,616,084,208,042,
032,701,624,285,890,321,408,460,146,016,594,601,424,090,719,511,599,855,666,
066,756,921,993,217,498,987,503,840,793,905,393,801,264,856,838,825,483,925,
052,191,910,080,941,077,350,854,184,988,595,150,621,462,701,409,411,302,027,
624,516,568,571,805,344,690,747,161,727,662,499,419,544,633,564,847,795,063,
314,204,608,331,579,525,297,805,439,565,439,913,478,473,423,160,522,244,463,
702,671,860,408,977,547,954,978,871,575,447,954,996,788,462,526,783,307,473,
683,307,208,948,210,195,085,777,262,383,573,724,414,683,921,055,561,867,094,
286,318,985,074,946,466,305,817,043,241,986,088,248,324,635,229,862,326,191,
214,075,818,631,284,505,367,707,165,202,352,182,393,476,678,154,067,812,085,
705,580,143,903,597,037,650,669,805,728,311,944,105,376,702,698,095,362,842,
762,870,789,083,175,002,298,454,419,093,974,996,430,980,862,638,783,319,230,
359,048,778,929,679,447,095,124,022,447,308,842,214,356,075,713,257,574,568,
174,266,242,153,613,676,467,061,556,555,466,114,442,698,618,330,080,133,899,
016,252,761,784,927,730,793,238,988,242,107,541,605,442,924,840,215,346,854,
587,163,890,046,047,539,489,056,170,398,015,832,553,385,022,578,530,416,144,
622,654,761,953,933,403,458,669,854,518,940,488,036,614,210,418,367,477,115,
905,166,924,056,486,245,229,257,510,408,155,718,192,321,213,381,515,026,838,
079,863,735,031,231,312,627,202,266,137,408,233,073,178,155,223,806,335,475,
787,245,218,297,984,476,947,952,551,724,671,669,625,719,453,149,304,249,811,
409,539,850,429,441,103,762,063,990,729,242,284,701,278,022,551,293,151,735,
549,359,242,692,323,376,294,783,379,230,806,255,520,810,192,365,993,659,998,
399,902,584,392,128,916,775,566,215,262,497,617,309,218,831,841,432,395,043,
485,489,908,999,568,584,786,990,849,535,170,514,902,221,457,260,637,558,012,
576,814,395,164,654,147,469,061,691,782,987,938,329,181,106,824,814,808,579,
249,276,974,789,472,438,544,468,572,792,875,628,247,656,733,550,312,218,774,
637,124,115,665,603,808,344,110,650,819,561,238,345,934,793,983,483,519,708,
111,229,515,078,511,803,101,667,041,690,716,323,294,973,644,102,602,900,650,
432,645,129,087,301,975,361,161,359,437,034,813,411,674,774,239,590,428,682,
555,455,666,968,074,056,219,053,025,421,764,836,890,811,438,618,423,536,635,
660,219,228,754,577,889,140,648,789,048,794,072,669,430,131,122,433,187,413,
463,843,791,180,582,943,850,911,508,714,636,308,071,595,800,293,628,102,754,
805,118,072,415,836,376,247,303,687,194,607,171,249,397,968,940,861,983,324,
362,565,551,671,191,358,956,545,120,533,910,515,589,469,310,570,907,651,664,
610,395,580,374,455,514,868,189,653,854,837,897,096,443,007,061,514,910,715,
858,864,918,724,909,331,703,398,474,914,326,699,399,793,208,681,251,223,213,
644,330,072,181,544,948,969,090,267,932,499,385,295,874,442,572,522,924,706,
391,928,314,453,239,188,709,807,716,620,681,484,187,540,320,522,943,039,136,
354,435,364,257,612,368,121,791,732,143,168,980,507,406,476,834,401,929,497,
069,520,455,008,014,716,303,841,421,898,759,210,291,005,828,959,628,999,576,
196,936,237,809,855,874,277,152,117,024,228,675,814,811,366,682,382,410,206,
449,679,613,504,956,092,709,171,580,354,551,673,770,711,552,167,439,519,365,
633,870,881,482,856,436,487,895,081,006,659,511,734,142,998,281,368,727,065,
351,179,634,538,228,138,365,736,620,852,080,160,160,169,098,477,878,751,807,
467,315,477,110,384,689,094,975,139,586,631,693,831,259,841,782,688,413,186,
895,082,874,314,568,960,517,267,009,192,462,695,552,022,301,696,264,962,157,
825,208,369,626,013,816,911,525,897,830,500,814,615,404,444,696,407,896,996,
638,961,296,525,695,021,472,805,163,225,189,457,884,447,190,533,163,578,696,
235,640,295,186,008,427,430,779,661,922,925,521,262,436,927,404,165,832,282,
986,757,600,074,336,473,823,152,766,095,942,787,288,293,790,971,934,458,093,
258,791,762,401,018,333,955,126,882,642,646,334,632,698,012,225,096,812,356,
901,290,492,417,313,894,369,811,798,527,656,777,424,107,836,067,086,447,080,
436,928,528,460,523,981,942,121,630,044,858,016,540,935,024,260,105,786,907,
813,435,612,385,397,260,392,436,374,856,629,945,433,004,165,787,518,140,107,
725,877,230,794,889,375,385,169,389,210,750,845,030,679,339,180,385,641,460,
965,043,126,468,249,746,951,603,198,105,506,611,713,623,313,623,773,483,019,
746,504,210,645,589,702,660,330,599,240,192,050,427,522,669,054,491,779,258,
744,341,089,740,017,672,852,847,257,130,159,122,640,876,702,165,361,118,084,
316,943,442,214,850,156,480,480,147,087,318,734,954,659,896,805,122,451,738,
747,584,921,563,914,444,464,999,689,126,348,034,032,722,523,275,577,399,954,
404,730,408,112,484,925,986,007,852,675,727,043,982,436,294,868,756,902,731,
964,407,622,938,354,325,354,655,554,150,355,185,149,345,624,923,098,861,275,
488,590,011,356,831,853,572,727,923,107,507,515,838,605,728,299,839,540,558,
004,783,824,798,250,603,434,517,289,391,094,945,022,796,353,595,025,714,313,
718,568,543,139,257,950,730,868,576,894,109,172,378,831,295,377,967,549,019,
339,390,902,848,697,368,136,343,547,713,794,480,302,180,105,757,956,096,704,
229,405,076,490,913,948,087,916,128,613,508,782,657,310,128,003,684,793,398,
824,549,220,373,172,690,934,302,281,637,601,771,266,214,246,574,339,902,991,
281,078,211,681,379,463,040,296,142,205,436,803,157,654,388,222,397,882,827,
258,304,811,074,361,562,928,937,621,995,397,353,914,345,759,270,611,000,771,
321,804,113,310,692,700,373,907,839,776,111,666,873,730,577,442,504,590,023,
574,593,570,323,155,088,579,384,724,925,556,237,320,273,088,164,950,631,284,
061,685,088,601,530,509,147,723,986,773,542,970,838,732,322,900,157,927,895,
916,817,767,352,694,679,045,237,140,420,193,308,260,574,874,274,839,443,539,
782,554,529,162,833,312,441,600,459,630,815,132,019,558,810,774,469,295,749,
527,906,432,795,278,372,137,561,756,965,971,299,896,910,560,304,961,359,594,
091,662,235,908,448,903,260,301,057,019,016,939,619,482,249,260,258,300,782,
828,658,917,222,997,701,893,721,379,593,956,419,611,048,820,660,353,791,930,
358,656,650,226,128,291,623,130,639,719,323,450,363,989,293,999,555,838,877,
523,557,373,746,040,107,886,334,948,728,403,187,463,338,870,029,633,889,535,
866,218,537,544,238,197,696,609,104,279,470,633,896,502,554,266,401,215,735,
565,539,595,613,313,041,326,146,211,796,699,525,705,085,673,890,446,696,683,
637,495,167,065,568,204,798,170,202,742,817,211,704,074,863,959,638,154,268,
724,382,385,195,650,112,007,448,869,561,085,446,261,918,893,950,315,223,680,
977,301,812,395,794,679,798,499,301,743,849,394,904,804,433,227,581,205,963,
842,004,548,686,171,668,960,009,575,545,248,111,740,108,194,291,968,256,798,
616,493,497,174,361,887,053,866,726,513,440,005,958,431,712,941,153,708,974,
421,700,491,165,162,133,243,116,281,073,690,291,475,537,835,169,566,332,389,
632,976,549,804,180,383,813,752,429,514,793,432,967,665,121,006,568,768,845,
322,903,668,227,830,231,640,578,505,538,000,818,596,393,189,091,414,962,153,
323,635,001,010,236,612,016,571,684,010,652,051,857,466,857,034,101,703,430,
521,245,479,806,762,804,485,232,934,542,373,108,740,878,255,127,349,637,415,
547,857,148,286,966,573,605,922,497,987,578,351,614,454,963,069,964,999,494,
097,340,091,738,064,147,052,016,660,836,613,832,518,966,143,610,709,111,395,
041,337,994,418,218,544,693,747,065,127,454,530,730,211,647,297,027,770,593,
456,485,910,577,306,676,056,112,657,242,483,998,734,312,959,294,423,047,861,
743,260,134,901,532,347,428,835,306,894,745,665,027,684,087,374,310,807,184,
260,442,802,874,263,765,841,552,205,352,356,165,871,215,440,721,565,828,627,
315,107,833,506,032,997,929,451,288,160,132,570,505,573,268,396,982,213,386,
727,276,687,217,140,340,460,226,744,818,062,153,315,139,028,492,979,004,826,
748,333,151,179,275,963,931,228,566,998,766,252,145,741,066,398,199,692,043,
438,202,620,590,652,820,379,548,287,316,065,306,932,282,725,022,112,023,812,
387,557,898,672,701,400,009,939,536,009,608,618,863,759,748,362,184,644,143,
684,900,589,957,225,186,542,503,169,769,869,858,597,934,389,093,006,282,123,
895,475,281,563,987,525,910,649,636,328,828,378,995,812,612,448,678,643,955,
690,414,299,909,855,636,581,500,187,880,505,923,062,821,431,749,291,851,118,
046,762,378,509,397,434,385,775,913,406,675,840,969,619,540,094,284,686,961,
201,155,004,756,750,458,482,540,601,526,135,578,520,704,636,790,827,256,555,
267,609,020,858,489,993,924,232,014,176,828,836,210,588,864,559,274,560,122,
639,988,949,984,982,499,482,485,447,369,574,033,419,872,638,641,226,140,682,
928,272,479,425,115,802,686,982,858,679,705,794,723,784,090,590,659,513,927,
069,159,917,374,928,647,307,561,150,739,864,524,919,335,174,257,998,531,024,
547,985,089,772,785,221,509,942,823,581,158,240,931,376,964,326,158,137,868,
636,462,780,738,772,587,057,804,753,824,499,763,874,343,592,948,608,169,003,
068,469,241,114,825,058,043,616,108,983,332,687,850,548,598,354,052,012,840,
173,335,365,711,013,617,598,972,705,442,435,084,156,011,118,337,476,125,644,
543,079,885,699,675,703,042,365,238,783,083,582,975,308,625,924,629,737,535,
110,095,020,295,861,070,738,405,912,403,871,614,775,538,510,942,069,866,392,
643,483,307,325,056,410,521,993,931,537,241,991,027,484,566,081,926,267,121,
634,658,473,215,975,167,959,590,862,805,968,410,678,432,067,283,285,847,636,
366,819,191,079,647,734,125,415,331,584,808,344,413,825,431,452,509,952,014,
459,032,229,203,384,786,291,574,724,293,635,339,998,885,439,710,864,109,492,
686,925,952,775,414,132,723,437,210,561,537,483,077,081,400,343,232,773,632,
406,851,877,926,453,213,766,352,083,686,523,846,542,334,566,432,214,035,669,
398,062,013,293,543,493,709,185,152,207,415,025,001,071,412,625,106,116,605,
868,464,133,577,988,355,361,887,673,700,309,255,286,644,093,637,250,009,638,
146,110,544,201,718,468,994,701,462,510,427,893,234,499,163,413,827,433,982,
549,702,857,045,106,400,409,042,147,146,401,451,347,922,340,867,420,331,227,
862,602,476,740,153,291,861,398,592,265,698,663,811,167,237,887,829,270,663,
566,291,804,072,796,211,274,779,669,278,271,803,230,727,520,173,383,921,115,
671,787,228,184,285,609,998,534,480,177,139,992,669,290,628,737,184,027,551,
454,549,762,641,876,313,897,281,066,569,636,412,198,363,661,428,464,205,851,
586,117,279,117,750,299,250,735,163,655,464,440,658,354,027,365,257,349,451,
542,408,487,407,973,581,227,070,993,659,759,816,168,515,661,485,363,117,055,
898,856,969,827,203,459,876,517,270,835,607,478,247,218,251,807,816,663,802,
106,180,587,995,695,975,226,382,476,996,202,296,122,520,215,083,709,821,059,
282,652,413,527,026,700,940,380,122,942,716,663,353,286,739,804,457,501,231,
363,706,245,819,044,783,758,943,192,728,238,093,356,802,385,833,859,139,756,
589,337,268,637,125,697,027,819,845,964,960,771,208,408,652,831,012,397,541,
565,696,054,535,510,907,062,711,971,239,222,384,568,627,066,564,124,032,764,
906,663,072,655,552,219,857,817,575,085,330,253,723,992,900,781,577,164,371,
723,608,405,603,019,613,198,966,119,858,786,949,613,130,071,292,592,335,609,
862,467,635,149,611,573,927,162,690,341,764,508,455,645,588,583,069,243,858,
264,535,102,293,139,095,810,630,250,492,262,114,090,877,091,159,527,785,821,
285,613,588,020,435,532,138,241,327,047,856,611,736,614,607,757,061,459,389,
204,362,437,584,522,802,573,554,922,868,301,936,034,266,897,216,314,210,769,
468,419,079,762,541,777,789,102,530,011,011,540,404,799,498,928,843,151,017,
121,139,561,342,866,134,405,864,065,241,993,212,490,548,746,932,184,804,638,
908,304,332,120,769,449,576,003,119,052,400,366,052,716,435,248,974,730,900,
929,957,694,205,045,873,892,715,139,482,804,933,014,495,989,131,381,480,280,
232,258,200,511,703,393,953,779,188,924,562,337,333,391,682,332,111,968,618,
552,365,808,717,894,966,074,067,905,349,241,127,972,589,797,612,286,182,432,
733,303,959,638,713,093,811,449,204,898,999,706,536,821,762,646,854,419,467,
740,698,403,704,372,177,547,099,760,747,559,392,276,546,219,928,387,242,493,
279,600,334,014,483,326,994,007,731,096,129,559,930,870,219,586,815,045,495,
182,555,959,356,077,436,122,632,223,505,724,877,473,653,235,176,652,078,530,
755,529,468,491,836,559,792,531,437,296,420,017,775,027,994,000,407,017,694,
943,983,669,750,303,709,077,895,022,474,232,493,972,720,216,351,318,502,125,
753,836,105,185,191,389,532,277,515,804,667,145,227,709,311,548,806,751,949,
005,962,411,615,883,642,766,011,219,969,550,854,572,096,264,319,591,215,713,
013,886,310,904,978,972,987,368,784,970,114,197,405,882,188,823,876,482,957,
853,806,174,250,227,000,986,337,271,537,779,116,963,472,858,953,921,728,061,
391,733,320,952,684,322,214,615,398,896,811,189,355,447,991,580,461,894,800,
719,383,550,317,510,345,977,381,608,033,636,203,838,250,509,789,193,349,293,
878,225,426,650,912,221,749,757,538,928,548,942,783,649,452,395,187,144,200,
970,732,974,079,779,968,405,874,577,785,111,445,738,126,530,780,698,665,415,
970,379,982,980,118,119,826,414,822,736,853,897,276,212,258,787,825,164,312,
069,014,903,945,339,389,234,827,196,936,110,897,385,488,409,438,524,396,099,
582,979,744,199,374,119,856,774,067,438,274,579,679,108,797,607,831,380,000,
083,862,180,413,592,810,314,608,190,391,976,725,048,931,523,578,365,939,107,
532,496,480,517,392,306,626,802,412,991,163,558,832,205,217,223,715,142,503,
138,759,500,675,351,454,592,513,116,722,054,177,632,167,746,710,889,367,656,
662,157,591,408,255,770,983,166,468,946,219,884,288,514,423,161,306,800,031,
670,452,970,360,130,657,684,286,148,319,456,974,513,691,481,002,852,550,286,
247,551,237,826,176,602,834,231,821,824,235,044,383,406,629,764,497,746,866,
212,280,547,363,075,705,763,903,258,518,707,344,057,784,260,454,678,060,931,
440,050,798,793,232,275,974,823,494,218,061,338,401,438,905,337,783,745,342,
937,378,771,077,485,778,091,820,215,398,775,324,279,412,602,276,459,640,525,
794,118,393,109,050,922,978,413,614,794,895,869,172,221,971,255,480,597,715,
437,105,378,966,558,408,875,483,132,774,285,349,756,252,170,720,759,115,103,
491,705,367,650,333,625,227,063,873,408,223,650,088,879,635,359,606,109,884,
926,746,990,375,340,741,016,367,851,129,023,588,764,152,688,116,369,372,984,
646,054,238,023,992,258,899,004,133,196,441,360,030,795,419,685,919,140,319,
304,136,859,474,461,197,812,990,826,121,056,156,443,796,593,390,403,676,276,
060,276,355,468,691,823,811,142,439,909,573,278,621,763,855,529,440,398,640,
426,412,512,931,011,306,050,876,650,847,415,088,079,182,309,754,459,689,983,
261,373,213,423,968,443,448,308,130,245,623,655,146,490,707,844,068,663,822,
781,216,251,447,224,559,204,267,120,680,339,843,149,994,753,555,548,892,102,
216,344,914,039,620,530,653,678,501,330,906,237,332,312,181,632,872,481,601,
107,462,251,063,668,989,248,680,575,359,342,299,494,380,324,749,529,905,654,
818,454,393,677,784,311,374,220,948,159,477,367,427,334,043,943,014,855,474,
878,927,697,863,429,841,801,852,391,591,976,894,342,091,677,135,075,193,501,
801,535,385,768,559,229,767,321,675,358,794,169,767,941,189,967,682,139,684,
355,502,128,744,342,208,448,541,268,722,829,018,513,427,115,570,053,131,563,
212,612,708,965,487,658,542,263,337,104,876,329,013,886,571,629,232,168,117,
368,933,815,849,358,400,957,285,855,255,399,935,837,060,268,550,377,331,066,
866,728,670,547,146,720,061,392,357,656,967,525,831,294,688,657,871,064,948,
154,551,147,410,951,151,449,523,230,969,381,140,145,952,549,634,510,295,958,
541,980,033,761,980,524,348,280,559,761,663,877,808,780,233,696,239,333,045,
658,268,724,550,289,404,536,343,013,215,173,560,491,456,157,116,902,133,924,
422,665,016,939,510,625,281,302,512,883,028,578,425,926,063,211,034,014,301,
380,076,696,633,406,384,024,687,527,458,304,530,313,906,656,727,720,705,838,
771,522,842,910,490,199,714,440,328,338,368,984,975,552,855,589,561,096,401,
314,653,934,869,672,639,167,855,241,757,118,108,679,710,468,052,063,545,387,
807,826,326,957,011,649,291,388,796,258,480,351,861,821,431,976,987,348,234,
758,169,535,548,331,718,707,884,070,033,436,759,130,989,431,946,991,882,513,
330,836,211,228,051,975,747,252,592,126,973,442,376,180,427,927,269,736,654,
226,613,394,365,886,766,706,282,696,853,748,896,677,573,574,697,875,333,791,
644,578,414,434,223,798,929,058,698,376,702,139,296,300,137,917,170,064,470,
453,008,983,728,611,381,331,724,778,215,485,754,169,479,151,840,165,968,876,
347,990,984,510,633,728,714,633,703,884,895,885,419,708,937,135,152,368,153,
603,460,043,039,207,719,354,930,289,174,305,003,849,331,540,819,403,687,998,
630,786,935,965,526,835,657,489,176,148,385,927,308,493,493,019,976,673,461,
237,581,390,508,005,472,695,420,067,574,242,133,036,032,257,388,042,106,868,
575,368,635,962,552,243,755,493,268,908,009,512,112,041,345,462,108,858,424,
438,539,083,864,867,345,539,222,448,556,609,622,013,559,311,145,164,091,766,
671,801,487,331,772,432,895,156,259,985,735,843,257,517,842,004,865,357,263,
974,948,429,592,252,264,000,197,970,508,702,470,698,019,968,494,069,846,476,
561,674,075,339,129,999,312,413,419,384,691,635,113,306,695,178,909,643,384,
103,322,927,480,631,422,221,826,368,318,321,238,803,378,815,806,742,031,924,
224,480,802,878,585,109,383,574,471,119,532,891,326,503,161,989,018,650,801,
971,251,376,532,133,699,740,431,472,440,932,461,315,546,414,549,130,740,192,
590,253,678,952,199,565,600,510,027,118,064,928,873,760,171,098,016,357,495,
411,343,767,099,961,613,059,214,444,443,944,811,634,902,740,977,758,966,006,
376,045,187,424,962,314,150,007,593,056,752,353,493,631,856,294,641,926,180,
161,381,305,578,357,988,489,792,500,762,681,147,535,303,922,024,563,824,905,
446,299,278,663,047,333,386,011,810,023,381,858,633,608,671,444,927,238,193,
338,316,417,859,499,001,189,202,898,372,206,916,662,127,857,011,253,421,824,
065,466,228,066,047,373,124,750,649,047,173,235,354,307,049,842,586,786,741,
422,656,440,884,211,944,469,442,886,465,790,595,385,631,601,544,916,585,544,
163,325,479,944,053,518,653,767,244,379,855,542,901,406,199,373,380,897,085,
136,927,333,521,004,281,613,586,299,862,032,862,526,730,164,819,972,177,179,
550,005,790,732,162,524,496,674,029,682,310,344,354,440,436,891,181,843,553,
141,472,180,092,221,667,153,095,585,524,370,076,263,313,758,611,942,397,918,
799,430,080,088,708,321,861,206,387,411,436,058,568,643,725,750,121,814,811,
698,543,443,700,498,400,276,642,661,340,142,531,255,503,850,595,789,105,228,
407,447,174,433,822,050,657,627,256,427,342,539,659,301,090,703,746,681,548,
896,612,222,782,311,169,956,313,067,295,449,315,549,123,110,930,691,776,716,
291,850,350,407,947,547,388,158,250,501,578,781,789,026,162,724,224,030,195,
161,245,606,668,153,993,041,161,983,757,681,263,169,691,102,302,249,991,233,
317,989,611,933,445,449,879,627,926,045,349,198,126,454,492,323,950,694,837,
355,436,858,962,363,854,669,665,810,811,011,614,651,321,273,661,769,544,268,
041,649,102,480,344,603,647,201,628,399,254,162,046,707,946,468,337,758,299,
967,859,360,916,020,942,372,739,778,014,564,731,229,449,509,888,706,263,674,
118,398,199,900,040,911,226,969,915,724,562,183,911,319,628,868,869,734,497,
458,950,332,151,000,387,313,265,188,057,860,209,113,595,290,295,219,588,502,
823,495,878,231,126,337,182,430,553,305,213,089,470,998,079,046,415,278,114,
977,330,665,336,750,700,194,673,274,222,549,863,143,463,728,314,573,996,536,
349,889,975,437,801,471,920,872,361,295,863,062,830,139,067,786,369,471,066,
089,793,234,922,885,488,211,104,250,156,088,726,636,419,423,711,622,632,105,
544,752,328,397,424,006,268,076,674,282,782,987,309,148,845,708,829,360,228,
970,797,029,211,439,279,977,447,501,810,215,045,839,487,827,801,744,322,431,
034,096,409,102,777,941,560,498,019,319,356,962,810,470,446,952,823,675,159,
790,124,228,010,241,055,015,812,323,564,183,520,823,422,450,950,185,155,241,
638,525,155,649,220,753,869,185,364,577,172,298,339,571,663,687,235,287,597,
332,040,728,889,842,788,712,588,486,089,335,355,758,993,579,056,445,281,912,
833,459,343,948,868,321,426,424,731,943,518,209,103,876,534,242,405,134,766,
333,927,046,290,199,140,876,144,526,033,693,629,304,315,490,034,581,010,884,
735,108,598,331,650,706,908,862,230,967,843,735,507,362,982,113,800,517,368,
326,356,116,095,467,102,067,096,311,213,020,630,586,704,804,059,312,638,985,
945,479,196,571,577,138,660,334,835,937,392,187,230,690,996,204,348,978,986,
275,657,609,148,304,857,336,396,986,290,540,207,508,106,104,348,978,025,368,
743,863,243,082,624,222,884,058,264,205,658,973,549,500,799,170,141,282,945,
046,105,529,075,930,078,084,561,950,642,968,693,104,084,317,549,147,595,511,
426,737,307,539,473,395,304,186,233,670,227,598,431,781,474,831,462,193,444,
560,580,592,965,554,563,184,155,709,750,482,703,599,258,172,669,242,322,975,
128,118,776,020,186,622,616,075,056,420,196,055,224,868,160,443,246,366,750,
850,078,136,708,070,487,882,870,710,818,079,780,580,375,423,710,853,864,467,
107,953,916,418,621,352,991,768,530,296,651,494,270,215,224,850,712,083,828,
665,564,150,982,296,842,294,142,393,664,411,786,911,877,417,127,221,066,482,
345,746,943,100,733,732,858,201,989,197,104,726,992,725,211,652,080,489,112,
839,915,062,894,530,806,966,808,248,611,244,754,123,724,917,307,634,740,886,
047,037,683,415,261,292,262,830,915,878,773,690,639,580,476,351,749,420,774,
750,869,253,023,332,552,502,371,833,383,701,420,684,545,559,825,122,916,681,
647,756,747,090,080,267,881,718,657,321,755,592,899,681,386,185,056,199,304,
793,765,987,165,161,260,195,854,650,236,984,474,996,192,991,475,974,435,658,
432,311,630,694,287,657,156,964,699,931,973,887,183,961,994,357,636,482,382,
361,450,615,487,944,993,579,706,390,812,857,879,488,757,750,825,030,201,571,
634,495,262,947,917,116,601,224,778,694,438,685,878,508,535,394,586,694,298,
812,385,720,761,698,709,527,374,009,863,101,538,174,404,181,770,607,219,305,
004,317,114,451,509,380,975,091,109,030,742,230,262,318,857,805,240,419,028,
256,517,676,904,701,099,052,263,491,777,312,228,919,828,564,983,959,286,934,
129,818,870,055,158,784,975,238,783,253,554,943,062,700,244,775,762,150,321,
780,443,174,519,986,691,495,362,307,543,136,392,206,020,930,305,631,616,316,
486,682,852,025,222,540,169,555,204,580,667,646,827,675,754,042,423,948,985,
228,642,397,790,138,530,369,104,882,376,829,413,356,388,000,771,627,199,168,
732,476,779,326,228,003,005,376,569,132,893,881,132,297,980,527,493,344,894,
783,929,154,165,508,593,719,196,422,078,981,194,739,420,517,980,525,530,948,
886,442,577,439,896,250,469,053,556,133,894,063,034,711,562,886,403,444,636,
887,079,173,497,809,382,589,351,880,499,850,801,370,937,276,070,399,869,751,
669,686,425,490,742,548,278,955,072,226,338,024,715,401,262,477,741,250,117,
128,991,063,294,878,650,546,350,435,486,792,481,386,313,078,273,690,098,015,
159,450,520,059,875,274,809,103,161,942,723,885,958,817,397,537,855,804,430,
724,729,085,938,119,408,439,867,200,115,808,658,313,258,125,807,955,957,080,
919,532,500,492,260,128,602,866,896,906,500,440,443,121,939,493,310,295,512,
434,904,703,205,029,439,640,349,545,417,751,652,796,119,889,338,723,345,988,
226,851,009,905,377,411,931,038,380,082,221,999,377,963,793,236,489,098,961,
582,011,344,854,612,075,384,740,159,143,924,149,770,898,210,883,625,775,365,
861,173,337,355,623,250,311,244,328,566,511,415,095,481,059,678,682,534,930,
517,203,416,721,747,533,037,834,331,015,157,806,854,867,660,771,162,507,399,
480,416,123,944,408,923,028,234,666,171,304,669,592,843,206,777,169,218,887,
797,633,832,658,972,867,064,268,305,611,874,192,072,093,312,970,681,141,604,
187,576,781,676,625,083,754,390,848,850,280,598,232,315,247,765,101,917,349,
338,868,274,311,622,493,246,075,371,927,130,257,417,900,959,782,364,742,705,
389,212,265,172,551,883,641,256,727,766,809,173,353,456,659,464,711,864,604,
319,612,509,787,111,562,006,319,448,086,052,832,549,245,571,951,930,628,082,
511,424,508,496,744,818,095,419,435,031,676,609,437,736,329,055,077,009,961,
051,890,441,156,584,727,963,980,898,944,319,895,567,478,962,893,755,519,852,
922,530,993,428,782,802,296,309,434,663,860,877,821,975,310,458,717,402,792,
048,549,519,829,117,797,095,897,143,010,859,277,231,441,300,660,197,474,969,
647,160,327,561,204,472,828,918,778,161,021,450,206,642,485,224,153,751,598,
867,510,020,004,912,419,828,952,896,177,006,378,664,051,671,721,518,401,797,
451,880,083,636,355,818,640,928,383,643,691,632,297,777,172,601,681,388,397,
666,363,819,287,604,001,161,596,269,609,190,536,014,074,056,734,600,666,964,
472,347,967,713,029,536,452,420,844,869,346,377,476,736,989,569,193,363,509,
314,287,316,203,549,577,141,430,003,647,882,496,847,347,164,154,457,463,397,
408,350,704,919,626,043,937,237,563,008,907,852,064,994,234,984,971,676,767,
253,611,123,349,574,696,584,478,694,471,527,798,114,382,340,573,734,417,503,
424,205,148,836,473,674,985,467,646,376,098,384,690,623,839,581,184,859,706,
166,065,605,445,432,209,333,601,371,111,538,504,896,255,847,282,772,139,131,
887,159,529,837,281,674,390,984,452,272,784,637,967,309,832,782,061,720,074,
911,927,347,416,476,656,036,556,594,350,480,300,384,019,202,211,131,316,970,
969,736,766,535,298,551,823,665,345,085,500,031,499,177,264,359,523,275,571,
300,426,340,066,829,041,585,535,348,906,147,718,854,810,836,830,892,620,994,
879,577,374,719,582,436,752,197,394,927,388,722,275,649,970,110,131,388,049,
593,605,852,627,139,459,410,725,463,058,416,085,949,138,872,799,389,516,008,
944,213,902,894,489,560,649,163,777,090,844,196,867,806,263,874,040,659,583,
710,267,224,287,118,115,820,365,650,459,144,967,454,831,935,304,393,812,201,
756,797,922,125,317,336,080,906,087,164,306,683,007,914,517,717,881,677,783,
712,610,146,964,440,358,619,328,415,387,820,135,562,450,220,236,363,028,407,
374,118,932,422,144,922,565,986,811,596,372,047,238,459,190,880,354,527,484,
944,155,563,933,941,705,301,809,229,648,576,622,141,814,619,935,650,622,187,
387,596,868,071,963,162,670,297,207,227,392,230,248,895,363,065,389,409,476,
167,312,151,714,732,992,636,908,174,217,399,925,213,787,787,578,928,148,100,
022,401,622,101,846,007,713,033,338,777,806,534,219,607,022,173,858,013,214,
104,348,772,796,869,338,583,238,165,505,086,808,014,837,797,328,019,571,199,
977,716,280,533,029,458,773,906,343,263,229,529,750,732,510,217,090,637,161,
080,241,898,533,130,456,725,868,607,787,951,648,184,527,709,114,161,391,261,
949,594,162,371,715,055,114,079,040,938,912,135,836,045,002,374,384,590,560,
408,001,845,980,433,579,205,595,367,097,670,126,238,339,370,498,366,198,525,
201,587,250,661,862,579,151,021,054,676,618,878,412,743,710,644,971,478,084,
598,114,614,523,920,352,704,931,999,179,698,773,148,792,722,774,481,483,704,
384,021,369,628,943,014,251,154,907,149,680,582,960,762,019,453,106,602,414,
728,257,988,512,658,143,044,753,649,998,357,209,398,323,897,663,776,383,215,
960,353,374,891,173,233,075,823,581,112,310,442,164,025,359,871,292,130,663,
668,342,730,308,386,056,552,177,095,630,441,093,759,627,393,857,026,957,428,
473,161,690,543,389,213,064,393,069,874,372,939,245,543,263,748,027,680,201,
859,164,939,061,479,279,208,152,373,084,553,406,792,010,897,647,178,872,710,
717,590,393,112,814,195,103,891,606,339,203,088,999,875,184,182,619,191,049,
385,966,857,245,466,576,626,800,978,287,433,473,827,049,116,932,579,872,185,
855,860,950,761,766,717,476,876,279,620,890,988,252,991,004,736,396,167,256,
314,361,055,711,247,634,554,139,331,895,259,221,387,204,853,929,860,538,734,
469,753,743,609,685,534,975,015,608,542,117,106,823,707,458,997,225,089,684,
357,938,437,699,933,380,314,116,978,951,542,559,887,491,494,848,116,907,752,
425,747,835,172,010,487,099,511,678,184,597,896,661,929,359,415,012,779,454,
428,398,048,153,814,290,009,867,987,215,737,471,022,949,457,056,060,409,742,
391,009,771,498,853,043,586,765,626,613,616,884,896,830,470,169,696,846,341,
523,463,407,844,638,202,976,199,647,890,226,376,637,702,487,920,645,155,865,
566,961,274,629,185,405,021,001,079,568,051,334,147,844,967,253,263,528,714,
637,582,367,703,417,992,784,402,089,591,483,546,812,114,994,481,010,956,578,
844,328,056,563,309,804,779,548,587,717,346,900,265,982,705,860,976,679,320,
416,419,551,916,416,758,696,186,626,940,400,644,656,870,620,030,280,834,155,
417,791,567,943,314,984,052,713,799,009,870,371,130,271,226,108,056,823,722,
493,064,692,208,403,566,154,851,517,714,517,266,310,719,611,803,286,108,155,
343,645,113,134,257,586,424,490,150,053,701,303,043,900,826,348,508,607,606,
738,313,029,931,866,179,001,186,346,748,536,755,933,538,499,920,332,993,074,
684,243,951,801,018,176,579,388,673,369,308,942,684,953,381,250,417,786,671,
768,153,729,491,056,305,441,007,435,135,874,333,844,038,727,380,450,273,198,
676,941,992,522,550,171,416,669,910,343,592,606,946,715,880,652,191,794,591,
489,186,604,416,261,365,718,978,408,403,695,919,559,920,248,749,583,601,470,
712,168,216,838,244,210,544,784,749,992,739,636,610,268,343,930,388,155,083,
153,741,950,962,325,350,717,421,294,729,932,936,170,891,232,924,724,909,511,
989,522,074,131,397,763,532,028,971,506,112,547,929,468,632,868,599,966,006,
315,685,076,247,317,767,518,773,532,804,952,750,377,037,420,295,153,173,558,
261,904,784,364,422,037,658,275,981,808,171,821,348,335,151,160,819,025,345,
532,746,386,038,409,501,674,576,592,159,081,716,263,810,384,453,322,632,376,
069,010,238,624,160,841,566,915,206,991,128,989,766,429,123,949,601,154,846,
345,895,334,858,777,241,603,055,280,193,431,690,425,257,186,082,291,230,543,
277,595,447,141,494,153,246,355,833,293,703,742,048,262,306,234,105,974,590,
001,096,955,222,573,186,905,635,045,017,908,546,345,564,977,455,968,054,701,
113,171,247,370,728,011,155,032,319,212,453,127,396,536,387,467,718,108,007,
462,552,659,779,131,225,094,919,526,908,508,413,221,831,510,199,378,019,344,
840,270,528,382,634,760,779,209,205,069,958,381,432,827,941,753,639,385,616,
814,883,188,937,093,513,032,739,358,670,751,239,283,455,956,437,171,226,992,
889,346,600,125,913,126,895,459,278,292,766,366,711,532,444,281,775,934,656,
908,269,209,119,200,729,147,682,277,982,223,253,840,043,490,249,063,394,695,
761,148,616,067,034,633,748,900,826,377,247,148,245,828,691,648,723,839,783,
509,074,343,913,740,115,178,325,098,354,052,960,391,663,514,716,560,996,120,
784,388,784,309,007,700,747,202,729,022,972,125,298,311,059,834,542,861,305,
127,070,344,703,598,604,050,977,961,603,234,447,521,100,096,969,369,627,782,
987,485,374,309,170,558,838,561,491,484,980,752,978,466,423,582,378,324,478,
460,836,175,029,037,713,977,409,169,980,420,561,121,504,413,926,253,385,240,
527,483,931,713,323,116,298,353,558,674,578,637,434,288,007,871,108,112,619,
157,853,072,104,839,636,828,437,795,458,591,443,160,353,268,496,982,581,411,
592,726,052,488,251,093,665,087,297,655,984,431,254,946,780,434,146,820,554,
389,618,984,474,812,312,266,880,345,958,685,533,862,627,602,623,656,740,685,
848,238,259,921,361,910,282,351,407,397,129,906,936,750,355,324,625,150,386,
686,534,247,469,448,308,241,421,365,532,318,011,508,062,597,096,966,581,757,
382,587,624,865,974,966,119,750,863,849,618,657,183,856,711,681,469,124,969,
901,161,171,704,242,231,459,435,628,436,081,962,486,411,839,959,514,606,361,
594,022,645,110,198,675,833,591,354,142,983,150,736,107,528,068,608,314,287,
484,055,427,370,786,169,082,008,856,331,224,200,241,843,634,672,254,801,185,
731,422,777,788,843,798,110,005,091,902,722,754,573,898,390,954,217,292,457,
943,193,507,340,107,057,822,951,636,091,679,483,073,791,044,374,095,547,479,
153,176,000,602,087,685,053,449,257,705,738,050,108,471,349,231,218,443,699,
908,855,030,055,620,692,529,733,299,882,554,211,038,273,704,738,662,735,328,
036,093,450,207,030,697,753,384,765,559,631,067,884,737,423,343,676,273,106,
920,505,219,586,743,536,920,867,865,533,507,435,732,769,471,219,444,608,849,
475,860,478,820,215,689,167,295,309,646,034,666,156,402,465,568,420,296,840,
167,330,535,477,695,731,512,112,803,644,378,215,569,098,411,209,348,443,883,
811,967,350,280,972,152,110,178,330,593,682,526,152,083,714,527,018,054,682,
010,281,929,754,271,201,688,203,782,308,943,310,347,941,906,626,128,382,122,
100,722,835,484,370,071,958,580,151,826,067,249,515,232,238,180,427,215,212,
447,987,818,892,369,740,097,001,198,968,797,868,568,632,611,622,680,683,721,
887,025,279,398,962,093,160,809,113,067,003,328,199,543,196,235,500,094,857,
450,831,167,127,059,892,390,865,230,172,486,461,587,090,156,120,717,696,666,
630,513,149,294,399,787,072,485,628,119,827,551,684,356,367,843,646,653,734,
658,619,966,690,864,620,450,863,942,636,444,281,594,105,455,480,248,684,885,
388,268,238,377,317,526,943,136,478,480,669,654,874,246,584,005,306,934,381,
360,803,854,747,613,441,334,615,623,781,734,270,244,672,334,479,604,750,286,
351,077,223,985,351,421,980,328,028,247,751,674,435,119,498,131,242,389,178,
200,563,253,369,531,183,442,738,146,694,393,573,346,560,840,988,034,811,176,
876,310,560,026,905,204,232,308,185,206,641,816,366,870,585,674,723,702,698,
812,086,256,425,594,534,240,591,077,656,936,253,478,615,446,693,496,467,853,
280,956,015,139,558,108,958,600,628,369,034,137,197,621,842,367,878,859,626,
770,662,254,337,044,816,586,771,558,025,880,655,382,175,271,376,730,055,550,
094,674,084,398,647,307,127,293,030,496,701,178,302,722,366,311,503,534,137,
751,270,229,112,367,098,638,189,205,216,876,134,368,883,527,814,318,833,525,
863,094,881,057,855,853,249,523,185,802,418,048,236,667,461,866,619,941,757,
209,616,500,755,212,696,034,110,720,287,831,309,808,916,410,532,847,801,443,
148,523,651,161,857,311,513,432,885,846,879,706,278,297,919,870,988,545,328,
252,932,257,454,879,582,711,819,618,746,552,723,494,106,754,463,407,341,327,
522,416,762,414,870,612,040,234,872,186,216,109,206,479,079,058,574,729,321,
097,632,360,814,392,554,877,099,260,925,294,267,440,583,233,789,388,773,902,
167,439,166,373,291,022,658,048,957,215,163,310,957,466,248,648,667,052,901,
558,728,356,640,121,781,185,976,542,006,657,490,142,824,351,750,209,370,225,
118,074,537,325,880,853,060,074,518,041,063,994,344,047,909,150,388,453,225,
077,503,099,717,891,468,987,384,188,601,752,064,079,163,618,181,738,807,020,
940,842,247,550,523,031,240,153,105,580,589,857,597,230,502,524,206,973,486,
392,144,522,264,305,111,942,806,670,688,758,221,473,165,816,618,811,292,969,
230,848,713,665,063,041,530,384,277,224,700,738,335,006,463,729,895,738,815,
625,428,499,641,326,235,723,933,360,710,109,139,628,682,747,489,825,918,186,
261,921,390,560,498,153,569,920,719,689,643,919,838,736,877,828,000,900,734,
024,453,057,149,904,789,565,508,968,560,402,868,629,951,581,929,292,505,002,
060,320,826,324,157,933,161,718,885,027,275,264,622,170,475,047,539,420,626,
506,268,318,037,170,522,274,273,528,784,345,667,558,978,577,828,176,846,946,
645,006,393,244,171,319,551,354,484,726,517,240,016,647,263,379,011,770,102,
255,726,458,480,810,294,336,743,914,050,656,385,001,336,569,716,598,282,662,
576,128,828,519,175,557,860,729,362,753,459,034,199,613,316,962,639,571,395,
272,104,929,136,555,152,002,395,240,616,312,738,979,562,173,000,380,605,277,
179,425,284,852,796,510,017,298,365,607,314,595,064,715,332,326,875,863,103,
250,043,554,812,611,203,797,634,184,362,544,963,089,255,051,909,244,384,448,
803,088,948,951,647,611,999,568,075,039,638,762,796,781,260,512,367,281,110,
295,495,188,893,847,730,974,083,669,842,232,149,656,795,304,416,614,397,599,
037,588,177,045,967,494,087,033,982,269,180,857,195,786,108,130,609,199,192,
702,691,528,956,752,415,089,601,749,035,487,282,642,101,277,585,786,325,480,
176,508,724,205,958,702,093,066,047,106,548,677,893,604,429,136,504,845,169,
820,567,801,864,254,271,667,829,797,009,840,487,508,939,949,192,749,994,809,
041,274,876,945,399,036,500,417,459,822,611,921,971,834,562,735,762,057,815,
235,492,585,152,132,348,491,869,219,024,475,168,578,585,517,115,790,001,594,
287,192,124,456,952,422,691,189,565,515,383,280,448,278,771,107,308,338,564,
504,199,331,205,813,425,377,210,954,808,588,049,516,857,276,080,242,826,962,
706,090,300,461,443,107,776,095,957,944,026,723,804,361,509,871,324,691,643,
578,942,415,365,383,848,505,999,509,552,951,346,117,143,261,550,796,344,049,
502,475,348,274,595,473,929,454,485,496,236,630,284,688,544,041,297,736,635,
509,600,381,168,557,257,134,769,328,651,651,860,511,438,195,050,530,588,615,
027,706,486,209,648,188,902,041,663,195,801,415,783,860,571,116,240,419,194,
484,195,338,609,951,564,763,448,184,198,794,542,711,023,168,783,200,599,194,
394,213,364,710,584,781,672,944,538,676,330,310,599,185,536,889,420,282,367,
250,633,033,953,794,509,773,754,215,564,102,383,207,656,445,069,766,171,237,
224,125,404,486,242,000,214,925,141,416,346,875,828,099,508,104,814,204,600,
442,358,061,646,794,952,676,927,059,901,080,055,375,266,154,711,408,555,660,
893,237,738,784,074,056,981,355,673,525,159,150,226,503,084,138,255,288,265,
654,456,049,697,464,155,744,372,252,813,017,376,259,126,126,811,051,902,970,
330,375,525,158,316,480,611,404,781,968,211,236,111,763,651,754,855,999,585,
353,397,780,501,037,063,929,315,253,261,743,799,027,838,553,746,388,781,073,
099,555,042,583,114,579,728,326,104,695,229,521,809,088,793,467,580,116,478,
028,300,596,293,114,516,001,988,512,846,853,617,290,045,282,920,528,073,031,
632,522,329,757,735,226,809,891,983,844,329,303,746,416,760,789,155,543,325,
325,228,835,003,509,310,992,633,500,340,195,968,889,852,405,996,326,106,035,
237,857,683,656,642,413,482,812,669,680,752,472,025,061,157,569,556,736,695,
753,314,221,998,851,778,922,853,166,838,364,316,109,316,450,595,945,786,400,
839,437,127,070,616,645,805,257,926,922,790,619,073,093,366,482,954,541,101,
166,109,189,061,050,795,864,496,528,831,974,953,285,494,569,023,538,620,689,
829,486,273,884,560,338,072,429,745,874,109,103,883,787,854,913,201,292,536,
924,965,857,667,197,518,631,315,900,817,160,248,534,531,927,315,800,852,735,
610,861,865,053,355,619,258,707,458,286,578,867,020,656,100,314,114,496,816,
919,844,270,087,354,388,047,166,563,719,014,914,300,886,416,220,280,121,520,
870,367,854,256,726,668,434,360,024,276,569,658,368,758,782,140,281,191,009,
006,371,614,194,263,204,948,465,900,961,963,118,340,452,273,762,017,221,434,
157,518,399,432,696,683,623,414,421,596,456,714,827,768,510,391,484,639,861,
752,256,457,529,022,977,005,652,588,054,260,164,577,378,175,189,952,633,209,
921,996,789,631,132,511,856,901,950,796,738,252,481,803,252,832,102,659,616,
484,519,225,799,123,995,501,932,475,686,239,076,356,113,214,613,931,065,716,
066,170,461,101,003,930,093,695,716,130,282,796,279,302,993,484,762,392,909,
762,682,392,226,993,319,599,437,363,873,370,491,080,527,408,021,917,377,529,
339,917,906,528,156,124,283,559,523,762,605,288,624,043,005,561,319,104,170,
784,216,002,158,723,446,693,827,324,245,982,017,573,188,852,141,802,477,858,
415,236,461,996,264,492,370,370,649,969,548,079,356,995,757,825,051,790,987,
132,659,350,452,043,586,017,580,746,668,504,392,348,434,607,445,012,549,838,
949,219,237,539,243,694,891,527,392,498,678,157,939,222,895,439,779,841,473,
875,330,774,816,274,535,174,112,267,612,976,674,061,396,334,643,947,149,219,
444,354,750,261,661,834,392,758,828,918,265,935,152,507,095,849,900,115,013,
167,934,029,787,962,005,390,163,706,316,173,501,915,250,817,059,672,113,539,
668,736,922,997,444,463,494,392,577,277,733,898,372,158,424,206,879,614,768,
590,420,175,143,124,109,906,368,335,576,763,040,569,556,933,202,487,793,900,
874,744,591,766,286,697,409,426,819,808,707,467,381,966,327,455,242,464,613,
288,643,593,941,708,958,181,625,544,421,618,644,694,830,956,073,047,931,014,
207,688,365,701,290,333,023,229,703,613,398,951,845,148,392,789,454,192,283,
306,739,203,466,720,972,396,538,214,849,906,855,236,817,178,343,117,402,894,
344,983,336,654,829,805,293,641,371,533,981,812,294,891,311,417,563,509,758,
197,749,236,219,451,901,714,554,857,844,586,363,625,494,023,104,619,025,388,
657,985,829,970,728,719,027,950,184,961,817,424,099,927,290,615,437,309,955,
787,134,500,709,806,423,824,106,693,666,169,039,376,791,954,889,938,950,652,
855,542,033,126,859,681,439,085,377,029,783,345,021,388,201,451,856,028,793,
392,180,046,884,850,667,170,205,579,007,908,085,412,844,342,037,293,963,931,
832,812,239,028,047,294,959,422,182,709,349,193,110,439,043,033,292,938,484,
350,057,546,618,527,063,870,663,404,287,666,191,319,214,293,254,628,925,115,
403,234,936,534,771,517,614,345,344,990,101,950,631,684,471,108,012,947,037,
651,415,055,870,795,307,009,503,424,462,473,318,443,700,701,527,299,816,113,
962,000,518,191,736,933,428,280,172,386,953,747,088,010,030,487,717,489,040,
460,181,450,664,087,232,093,897,380,189,135,332,878,292,665,177,590,613,628,
389,230,058,709,621,712,415,852,024,188,185,487,954,640,417,391,677,508,141,
222,018,443,147,713,972,544,920,498,747,988,264,923,711,638,809,354,603,394,
381,725,482,045,447,775,879,350,180,630,307,389,437,818,903,339,140,912,604,
731,755,103,009,037,651,959,445,403,270,766,365,396,376,090,306,158,189,322,
471,518,508,641,303,447,736,687,724,167,915,282,383,716,084,182,891,703,108,
856,402,033,625,691,597,740,898,647,015,716,332,296,942,632,646,473,432,091,
644,676,657,744,675,781,050,098,808,614,747,932,112,488,457,922,277,014,066,
514,611,459,969,889,441,361,489,570,783,728,242,673,750,723,845,823,591,152,
536,632,631,802,733,697,511,431,590,043,098,004,572,874,982,118,827,087,149,
095,678,536,239,521,936,443,201,418,315,221,235,624,438,904,794,384,030,367,
190,048,688,087,578,160,625,884,855,964,509,446,259,760,868,555,361,933,598,
631,987,816,155,113,401,321,750,426,925,479,733,404,399,210,167,923,134,241,
047,342,968,520,351,545,563,795,754,511,849,350,832,403,354,420,232,231,577,
642,777,116,269,133,387,305,796,160,198,659,469,961,437,951,220,750,466,389,
458,292,608,328,628,287,140,062,803,461,004,161,104,654,890,044,243,276,531,
533,473,057,218,624,840,229,253,404,597,507,992,381,759,412,009,481,764,541,
268,103,950,387,344,683,271,124,928,701,966,046,605,046,874,040,614,069,784,
121,077,036,111,839,170,054,109,618,282,827,247,174,916,779,283,750,712,149,
754,785,624,041,950,125,439,191,678,734,971,880,363,499,171,316,577,405,720,
081,369,786,289,026,819,182,161,964,529,634,434,188,493,952,870,826,552,450,
864,279,850,347,754,078,819,660,493,686,327,190,279,563,572,169,294,393,420,
222,508,521,385,899,693,465,218,797,319,126,123,165,216,891,430,249,717,725,
001,150,741,863,156,584,679,968,903,767,531,835,534,339,486,005,339,981,603,
139,156,493,805,423,646,824,931,194,825,411,499,277,475,624,279,414,519,007,
325,611,895,738,503,815,900,410,305,350,887,389,120,619,940,538,300,883,211,
054,707,507,878,064,502,972,695,593,145,001,273,204,952,303,946,578,179,504,
281,100,523,946,739,013,928,821,535,690,906,673,604,650,394,675,476,623,674,
283,371,054,186,521,007,557,048,285,164,395,914,190,369,262,529,184,230,658,
212,519,824,714,432,149,415,109,275,257,966,306,647,858,518,100,529,907,831,
281,509,912,108,648,442,185,624,117,353,634,138,196,040,410,418,877,169,400,
880,944,208,565,405,480,594,716,434,068,566,197,133,103,847,854,103,565,063,
879,288,030,611,858,840,315,937,379,045,234,646,097,500,524,043,834,434,386,
366,367,424,313,198,125,674,671,799,690,192,830,340,767,953,616,660,716,043,
850,225,619,761,726,913,190,375,180,851,441,738,583,102,549,932,608,035,749,
546,094,523,462,484,340,077,047,119,166,917,167,377,388,579,154,720,436,197,
288,191,957,762,450,464,119,018,239,198,105,927,644,497,991,474,721,130,687,
295,988,907,967,462,255,189,939,344,351,037,786,012,962,146,377,921,858,662,
762,892,227,359,441,264,612,174,672,020,588,847,107,952,071,281,439,269,636,
891,493,524,582,997,939,628,627,223,027,926,258,945,160,348,106,658,987,375,
417,888,707,520,191,277,811,900,141,247,242,460,865,637,586,418,408,034,464,
663,002,823,329,667,918,627,199,493,540,877,754,174,949,803,421,898,337,240,
240,590,669,082,389,351,969,670,822,072,326,202,703,893,633,186,168,759,738,
743,687,058,087,739,273,827,492,912,318,299,555,567,291,586,827,922,549,200,
483,145,699,180,067,397,563,301,140,352,492,384,309,753,063,569,826,389,859,
484,878,611,826,996,869,957,412,968,768,711,932,370,571,800,425,977,756,594,
110,482,361,685,990,426,405,355,255,995,140,469,954,738,926,151,375,988,069,
738,811,569,829,495,865,540,607,426,396,448,073,656,810,276,132,022,509,936,
204,402,496,918,648,039,309,252,307,434,340,725,717,539,483,544,112,684,628,
286,136,464,580,247,921,559,426,369,977,317,191,851,855,870,926,053,741,356,
739,787,814,138,462,692,866,614,220,880,261,074,790,559,796,630,995,033,088,
531,776,741,300,556,264,349,088,554,172,067,964,873,315,174,506,272,291,787,
554,980,011,421,074,876,580,733,890,916,131,692,887,941,582,689,277,694,104,
741,723,159,475,685,937,676,174,361,315,905,784,754,167,353,393,692,630,704,
446,634,305,199,026,551,913,780,842,846,580,020,513,373,650,382,763,811,128,
376,394,619,179,538,261,991,007,544,355,362,722,198,854,731,095,042,735,239,
299,492,988,773,882,761,984,407,882,132,771,779,257,488,575,133,979,958,221,
479,198,140,842,074,806,247,928,935,765,913,085,248,904,838,029,912,837,880,
548,969,596,766,677,924,023,657,848,444,388,121,415,430,307,497,848,801,891,
399,171,884,187,096,400,957,837,210,701,588,761,640,789,798,922,157,175,010,
144,206,750,038,114,278,927,158,007,388,354,290,845,949,342,913,090,380,533,
265,634,085,964,210,340,277,725,562,783,983,577,348,604,022,689,979,129,388,
087,203,175,716,519,445,202,066,337,557,930,115,881,183,870,458,393,968,691,
836,330,789,576,789,371,011,304,033,816,263,712,497,097,924,576,692,936,203,
637,306,958,222,532,291,612,438,713,488,639,139,843,386,054,497,134,510,675,
314,917,197,947,677,893,853,342,933,354,055,267,917,426,360,066,688,104,111,
486,495,067,766,272,991,651,678,324,017,819,232,594,814,019,618,764,708,617,
118,997,415,916,708,370,577,786,298,826,186,861,207,799,662,632,808,821,977,
943,970,141,906,401,738,261,747,365,528,531,691,660,230,626,336,422,598,697,
284,524,793,810,141,613,685,243,519,426,249,517,697,981,180,417,560,799,354,
880,134,888,131,841,526,145,945,571,700,552,418,716,213,082,568,854,545,131,
343,424,876,284,210,956,794,260,737,203,289,171,392,023,977,029,700,580,188,
154,406,013,429,200,566,195,994,557,044,081,415,404,166,697,862,235,282,419,
598,899,768,006,492,583,296,860,899,791,047,064,037,608,674,106,366,000,108,
545,027,275,882,719,613,304,286,971,804,807,081,519,579,980,951,857,902,277,
202,161,777,991,795,464,783,864,561,945,179,711,591,288,110,306,304,649,834,
530,131,326,297,312,782,723,448,335,979,057,076,209,272,991,780,098,814,573,
106,901,228,983,246,253,936,082,334,837,663,870,103,342,903,341,213,891,237,
951,813,509,577,774,957,014,290,746,009,156,018,083,940,165,735,334,342,473,
310,859,514,047,998,235,184,770,588,941,812,130,434,203,824,775,187,096,638,
917,704,692,690,644,365,738,029,735,032,331,928,642,703,057,559,832,617,511,
863,466,932,358,310,271,281,291,618,499,806,045,209,247,685,558,798,212,398,
735,550,122,288,033,061,249,652,612,550,264,162,408,075,984,790,120,354,612,
621,189,831,715,116,185,187,980,846,568,100,089,457,250,370,025,325,063,070,
420,429,192,427,814,279,192,141,724,400,936,118,898,380,565,095,437,800,163,
813,370,801,227,503,178,860,675,581,970,649,761,796,928,357,043,304,899,364,
295,789,860,051,797,044,772,351,974,812,647,741,066,791,737,509,143,340,834,
553,116,587,438,330,869,712,772,239,915,820,799,717,736,796,943,327,525,165,
913,373,098,187,546,577,345,308,284,685,056,925,396,336,745,192,230,644,354,
733,873,882,788,540,679,232,142,320,146,198,703,523,153,069,714,550,992,623,
326,502,138,580,762,610,675,295,493,569,550,174,930,906,689,431,851,270,049,
624,354,140,235,170,593,560,694,058,735,981,594,333,640,506,538,264,840,975,
191,446,565,062,202,605,310,163,791,549,590,043,413,009,415,962,361,712,793,
833,300,225,467,914,500,859,049,079,007,882,601,701,874,826,547,955,600,681,
011,441,830,710,833,527,478,258,582,852,456,951,371,351,621,117,411,271,206,
431,311,735,194,018,311,323,745,457,746,117,383,126,525,180,833,266,904,629,
530,321,243,434,568,046,116,537,804,896,547,758,829,057,326,182,778,102,226,
025,660,808,321,352,541,065,962,893,594,121,414,417,386,393,996,318,747,309,
084,216,223,815,766,341,317,647,130,115,571,207,139,786,757,466,566,666,652,
897,613,812,730,109,045,839,922,819,915,009,655,778,070,395,779,204,336,682,
769,584,262,050,329,885,770,647,950,843,280,263,565,444,284,713,210,067,145,
858,538,684,147,603,593,807,341,813,364,858,312,355,224,784,527,177,290,541,
228,971,993,756,980,743,810,378,449,268,327,304,852,368,729,050,741,801,576,
046,589,550,591,910,965,506,753,584,935,222,463,377,285,460,500,147,794,471,
091,937,409,021,496,091,248,146,025,981,261,206,159,124,198,449,600,354,950,
687,438,243,968,919,700,674,680,522,849,194,863,821,948,561,400,689,850,984,
253,699,274,836,371,319,123,364,231,431,782,146,843,194,627,801,847,671,221,
345,957,008,237,897,173,762,756,326,568,687,877,733,524,588,357,972,439,754,
311,647,355,098,749,815,783,227,098,084,088,222,739,657,965,452,488,211,014,
465,960,474,163,975,694,381,958,102,367,535,885,171,427,317,995,132,777,435,
956,492,793,124,599,960,014,747,806,445,553,754,889,072,780,471,451,941,444,
727,057,727,296,039,581,833,813,163,638,345,802,670,453,511,241,912,211,694,
540,321,793,810,571,146,217,439,357,369,565,722,526,576,862,813,008,342,057,
776,730,527,477,919,237,401,826,339,747,586,575,316,355,978,543,571,616,209,
350,129,884,777,509,421,378,317,107,465,177,658,102,119,988,971,181,187,988,
084,248,699,701,958,016,163,347,438,704,023,804,822,529,047,077,978,053,207,
036,652,760,835,497,606,474,782,761,138,500,883,479,467,867,120,212,474,209,
285,949,045,836,902,139,613,884,286,069,411,367,080,110,820,488,632,376,723,
537,379,036,518,836,752,225,945,539,994,933,747,053,160,717,166,516,268,054,
286,806,548,020,601,759,974,927,953,622,437,981,338,354,251,366,684,337,080,
095,041,159,812,656,184,780,120,775,251,128,932,092,518,272,804,094,218,534,
601,962,352,112,128,105,547,564,124,898,468,378,958,128,574,398,685,857,224,
795,129,011,180,137,250,432,735,968,792,385,543,585,889,169,804,676,943,295,
402,448,500,343,798,509,389,285,944,853,374,089,852,437,890,799,608,233,776,
872,324,984,300,268,130,936,916,976,751,113,506,968,244,963,283,784,990,274,
574,194,221,952,924,283,119,554,438,539,299,471,619,228,695,952,275,353,443,
771,052,638,649,140,546,954,806,302,333,475,973,088,496,205,033,273,054,526,
590,365,368,965,646,644,515,481,301,126,941,427,563,633,662,158,757,384,395,
331,805,918,809,613,888,963,829,147,169,523,702,528,720,242,262,223,603,475,
226,875,632,952,738,747,444,707,931,103,927,290,187,298,228,718,840,691,174,
886,388,164,489,237,978,296,639,182,731,829,093,656,730,324,985,481,479,813,
761,922,615,208,478,820,358,583,955,675,347,390,231,908,203,860,670,361,786,
901,768,711,523,989,447,639,975,196,933,098,088,216,900,832,704,625,296,069,
738,519,708,014,560,659,524,797,506,895,745,205,636,353,539,644,473,760,141,
362,809,713,671,342,417,013,893,708,416,168,330,466,475,671,509,108,637,858,
772,387,681,908,015,356,963,471,910,389,033,810,764,598,380,928,552,191,570,
988,566,819,472,781,088,517,853,027,537,237,640,501,684,842,922,962,420,663,
389,076,417,843,853,808,798,272,064,490,099,196,447,951,985,984,916,357,758,
573,296,280,538,856,940,928,297,727,360,372,205,462,701,307,044,230,328,903,
913,597,067,419,725,357,860,136,969,145,065,271,998,591,062,120,418,913,471,
105,627,572,044,208,693,645,354,695,585,063,239,865,271,768,950,262,847,747,
899,964,648,403,067,013,390,314,003,008,079,945,804,524,507,089,899,384,044,
520,642,918,999,699,099,257,311,261,908,405,309,391,287,185,896,997,357,288,
490,548,611,692,746,199,642,708,449,585,406,962,848,094,984,460,424,514,208,
640,881,730,916,908,182,906,991,708,498,920,518,952,129,578,155,192,027,224,
764,949,876,732,924,083,936,140,336,506,079,391,904,991,058,836,760,888,830,
428,185,821,098,969,093,496,998,231,197,816,110,478,730,408,246,983,810,282,
382,399,889,443,329,260,367,033,292,548,545,316,608,996,943,915,058,320,602,
642,772,709,067,790,724,922,422,269,163,139,487,721,825,480,436,163,548,915,
535,725,841,938,432,300,340,034,960,254,864,967,983,498,228,769,222,606,454,
549,870,466,817,758,491,205,004,381,108,151,157,947,001,860,557,923,692,291,
344,673,348,496,599,692,005,439,799,994,574,391,100,765,562,104,201,937,287,
386,949,138,520,702,756,912,116,429,640,422,457,396,729,067,997,009,555,838,
037,595,288,459,058,520,171,245,934,971,756,719,829,711,414,899,844,587,723,
839,802,070,245,367,013,244,629,880,120,005,058,545,531,430,722,372,012,901,
307,452,840,777,613,775,989,959,054,866,207,763,734,999,992,204,961,605,571,
532,875,692,601,187,402,772,023,903,366,788,541,405,227,915,432,847,015,360,
624,821,964,761,242,812,222,571,305,846,047,327,458,365,014,852,035,153,662,
886,453,861,818,569,886,604,794,579,141,960,100,366,695,937,238,044,935,905,
692,657,518,205,400,525,149,937,206,274,157,759,182,807,360,481,345,597,109,
254,959,886,781,919,023,191,532,825,445,248,858,454,837,808,730,385,626,536,
685,960,191,932,355,616,997,550,390,885,899,574,276,074,105,399,605,372,611,
129,927,517,539,587,510,362,843,201,975,130,629,629,984,392,771,944,364,273,
668,477,801,348,061,803,512,741,774,637,516,049,663,458,065,873,177,791,533,
859,832,605,020,699,994,178,634,948,898,660,853,119,199,465,953,117,739,455,
621,132,929,573,978,807,291,081,096,448,295,694,702,746,984,245,178,127,541,
143,640,357,188,114,978,754,106,976,506,427,723,804,932,838,998,841,851,598,
633,066,284,880,363,213,335,214,580,852,263,948,222,694,055,860,479,402,262,
212,620,101,844,276,440,192,639,477,668,791,768,931,791,535,018,594,875,711,
207,846,233,334,309,288,775,482,832,068,244,882,015,968,454,097,137,606,058,
384,714,816,691,042,815,235,528,613,799,477,061,910,327,038,000,168,660,990,
893,188,026,301,157,295,016,395,994,314,453,765,967,612,150,428,760,840,079,
678,344,949,896,433,547,214,867,767,339,781,786,707,344,150,843,965,402,590,
637,289,902,121,519,667,359,111,782,209,110,503,674,714,645,197,002,137,106,
681,250,481,934,735,887,595,442,557,585,361,369,716,992,464,278,397,889,412,
755,830,408,861,800,244,812,068,074,673,432,727,259,309,587,857,757,789,350,
028,910,903,857,560,959,051,758,812,982,258,328,750,207,431,825,973,935,823,
780,767,021,441,280,823,888,963,758,002,500,375,970,696,753,538,971,124,603,
984,592,764,113,317,598,771,661,808,536,704,083,244,139,640,752,853,229,759,
897,152,727,614,904,221,093,756,585,635,993,155,336,960,005,943,361,843,876,
436,825,132,876,416,568,859,876,763,623,829,263,892,778,361,984,858,802,081,
939,546,243,708,196,926,160,038,631,140,664,874,802,854,061,061,971,676,862,
337,230,428,157,631,920,044,615,367,041,413,314,313,840,615,012,328,648,688,
048,069,801,613,600,937,224,302,290,745,340,199,425,621,840,978,234,750,129,
489,867,473,316,263,417,403,092,677,870,051,122,173,534,515,928,149,003,759,
227,029,755,332,109,742,322,124,067,620,433,264,073,344,057,239,889,389,071,
899,615,932,020,280,593,576,860,702,070,318,475,019,000,245,545,388,171,628,
029,444,314,715,893,143,946,937,281,276,061,274,188,282,606,890,983,763,590,
587,934,867,216,480,970,818,713,334,780,290,173,364,958,014,038,889,807,902,
389,349,227,089,034,079,801,446,739,769,704,866,682,715,524,429,616,139,958,
513,138,427,274,960,071,641,271,659,467,697,637,343,144,262,876,507,988,069,
240,690,181,507,640,953,047,901,835,082,061,252,617,044,895,154,094,709,345,
049,353,039,402,322,348,145,076,913,311,547,378,551,070,030,995,075,866,627,
063,907,972,680,021,253,891,943,260,334,773,394,875,339,093,472,565,303,295,
106,296,795,585,053,848,374,207,578,970,603,589,148,406,453,010,886,440,035,
738,903,448,713,874,499,594,958,408,960,135,779,078,655,957,651,471,003,205,
421,853,623,416,863,759,542,115,001,262,986,955,388,358,348,880,566,480,890,
937,983,717,854,397,185,967,029,922,280,267,214,503,624,805,506,594,272,961,
033,487,442,494,324,648,665,586,935,622,014,689,015,592,494,264,104,969,153,
240,370,377,629,584,045,958,582,962,505,016,402,318,780,155,988,603,376,010,
873,366,724,293,955,961,948,550,908,568,046,269,325,987,461,465,475,214,011,
712,511,193,561,922,673,320,714,561,100,871,551,573,283,816,297,980,256,003,
261,460,392,610,395,410,597,031,190,467,267,732,742,595,795,183,444,674,188,
480,528,316,802,663,622,646,442,196,411,033,074,933,922,360,947,245,831,943,
828,417,266,848,298,797,636,551,931,825,019,776,321,112,969,907,027,902,764,
904,094,229,500,410,784,045,068,627,007,268,033,950,415,367,338,253,335,503,
685,639,485,740,990,438,641,150,060,912,930,911,275,060,666,812,975,673,195,
727,771,067,732,624,965,837,657,534,439,367,523,152,795,938,584,640,119,529,
440,148,284,887,474,920,894,979,132,874,185,856,597,333,534,260,450,264,537,
536,810,670,785,542,434,012,233,913,143,321,547,029,967,635,860,327,043,907,
569,710,809,003,353,131,332,969,956,159,500,458,062,985,084,890,191,495,150,
630,871,625,910,864,884,136,855,775,633,304,351,834,200,889,166,002,251,154,
115,948,937,166,478,712,998,841,859,511,470,093,384,627,863,016,203,827,531,
536,978,495,317,062,432,119,875,913,543,701,851,889,005,888,263,887,542,285,
900,183,266,827,977,538,360,933,486,905,005,653,672,669,679,692,567,877,463,
697,658,978,137,549,896,831,172,036,623,168,840,806,680,114,055,883,899,391,
522,830,806,241,679,430,982,352,746,254,799,539,408,852,957,046,135,284,652,
115,518,829,285,621,569,029,973,877,608,076,684,330,416,858,171,060,747,970,
987,354,265,819,897,198,882,472,375,112,573,747,436,437,450,005,025,273,881,
640,140,415,826,277,828,629,404,094,664,719,781,391,393,069,008,776,133,318,
420,539,934,212,834,693,540,338,393,261,995,286,468,965,184,755,485,865,958,
778,918,761,172,126,526,430,275,815,135,458,197,705,335,979,204,154,504,284,
444,022,270,364,488,438,667,179,026,169,728,959,468,874,411,598,964,303,760,
318,360,592,309,922,603,503,754,070,798,093,088,759,008,639,045,545,703,553,
274,616,352,053,513,354,344,923,120,424,653,722,037,167,239,155,120,847,252,
423,365,422,166,873,834,029,837,823,104,816,844,457,497,809,584,111,776,141,
416,986,283,018,948,805,513,101,178,499,124,367,974,870,586,479,020,482,368,
971,778,487,959,404,084,561,218,909,641,042,179,297,572,342,652,453,672,575,
819,228,173,474,007,803,495,867,371,774,996,986,156,516,512,945,180,662,015,
641,486,479,542,910,517,007,057,429,183,881,801,316,714,952,592,243,289,142,
221,349,172,726,902,489,259,147,942,210,812,840,927,743,244,956,573,192,226,
392,542,139,681,217,627,323,165,240,786,060,573,412,663,639,048,216,541,203,
979,092,372,814,036,369,243,241,959,338,596,118,515,179,419,746,572,381,460,
226,639,486,447,076,378,297,022,966,981,503,840,480,801,845,406,291,630,840,
597,226,559,135,999,617,997,835,983,509,268,164,098,969,886,616,785,016,674,
763,295,318,142,504,636,968,862,137,710,537,085,449,335,825,908,258,760,838,
361,353,430,010,397,659,223,557,182,526,431,732,997,323,585,039,722,922,551,
742,053,025,433,955,829,439,868,017,664,047,857,398,915,253,577,013,924,136,
128,001,660,592,247,236,204,930,205,222,221,001,098,069,021,852,187,218,919,
809,335,228,489,860,412,519,899,953,331,889,669,888,431,920,891,136,878,715,
833,961,756,125,881,651,714,986,422,773,674,759,775,670,755,118,420,734,474,
587,667,428,533,972,272,822,774,434,734,813,452,948,238,970,597,482,528,682,
430,707,722,513,933,838,476,561,236,948,063,200,327,167,406,692,884,688,251,
467,751,630,854,443,012,951,447,513,991,546,605,522,875,353,869,633,410,994,
004,966,094,887,039,891,714,690,216,069,177,616,323,308,699,216,707,115,712,
603,228,050,660,196,859,442,139,150,967,231,193,063,462,631,529,292,401,604,
976,990,688,371,965,539,707,206,661,941,662,732,695,276,374,244,793,765,062,
535,742,277,955,834,851,967,481,429,326,564,604,318,692,477,829,455,315,840,
572,122,986,563,916,597,202,773,046,701,236,189,623,033,193,116,870,825,463,
251,323,673,819,984,553,594,063,154,609,098,470,532,249,084,004,183,916,417,
568,402,440,121,054,480,476,484,215,170,166,782,112,728,996,243,136,419,819,
217,060,434,490,481,150,760,215,477,311,762,248,219,304,896,146,227,198,285,
552,098,580,086,399,860,013,299,332,576,104,899,200,746,715,857,102,202,376,
598,174,003,827,364,527,074,704,191,841,578,928,954,379,662,569,086,404,070,
737,327,607,849,018,776,607,262,633,801,301,538,651,080,468,407,416,412,301,
070,846,271,282,692,183,942,543,060,948,128,939,805,966,978,987,876,812,836,
011,603,037,871,534,219,599,723,813,092,439,007,000,348,759,472,255,385,740,
669,160,604,731,199,379,221,129,570,222,076,615,478,183,021,535,551,212,868,
555,661,643,550,878,787,843,599,185,742,359,264,522,382,351,533,635,711,640,
776,378,394,693,320,587,519,919,938,479,325,815,520,639,089,550,700,079,982,
356,288,473,579,836,824,577,202,877,400,302,570,800,414,965,934,809,189,939,
015,688,251,340,201,247,081,247,890,473,067,704,068,938,707,861,874,984,201,
084,270,511,273,807,723,479,759,915,514,207,224,879,650,882,014,593,547,470,
730,579,213,763,220,871,419,522,661,994,004,781,776,904,687,399,500,014,733,
397,767,730,032,404,060,295,889,523,258,017,685,425,644,878,774,285,014,903,
410,192,053,346,103,777,953,376,420,798,785,600,770,273,710,024,863,438,528,
333,818,830,778,250,012,929,160,417,631,888,322,023,496,147,271,177,197,378,
767,858,715,830,671,395,454,172,048,015,701,253,680,782,613,872,044,986,058,
132,378,662,169,387,895,738,619,764,042,851,402,415,367,947,036,846,722,206,
964,428,167,450,945,723,175,344,439,766,881,427,021,427,787,684,232,792,579,
913,149,886,319,319,381,821,801,327,026,966,011,508,620,647,898,619,047,355,
673,356,792,395,691,282,013,573,324,329,642,533,304,920,037,700,881,843,546,
827,351,516,410,997,210,497,889,509,511,027,002,051,425,127,509,741,618,676,
354,847,929,560,538,125,289,276,537,285,221,945,213,428,429,161,948,233,814,
025,849,183,582,634,110,319,370,927,323,946,305,261,525,050,737,158,872,009,
298,470,334,276,787,794,498,137,323,063,008,728,887,074,220,881,460,425,210,
238,012,339,944,444,151,221,402,569,615,179,740,247,439,932,789,857,372,978,
163,159,711,650,278,640,689,585,170,736,970,362,278,582,961,763,887,107,690,
596,828,322,646,119,365,935,006,345,839,702,504,506,324,141,164,083,712,737,
159,769,491,320,935,570,180,293,336,364,225,051,959,750,392,287,784,641,896,
544,961,547,318,877,437,782,701,785,543,308,405,311,086,646,277,485,139,305,
649,676,160,169,289,538,245,655,357,629,575,029,136,225,698,847,796,925,685,
258,077,211,532,385,335,667,770,349,312,485,725,768,585,062,033,704,952,579,
915,704,973,262,854,261,306,276,357,457,297,009,726,383,257,787,349,101,661,
365,732,248,167,582,994,329,710,183,052,699,274,744,507,922,866,147,978,310,
152,630,531,112,522,483,463,770,743,777,990,637,319,599,590,843,711,652,461,
202,122,946,421,955,473,596,589,790,820,445,700,103,010,296,990,661,772,650,
798,712,632,007,236,328,020,903,532,668,002,250,319,242,770,337,070,332,625,
992,026,062,500,400,075,176,120,732,870,512,642,183,367,212,528,955,937,098,
940,533,729,233,026,644,565,114,819,885,393,636,985,343,189,435,482,201,311,
763,193,027,836,613,184,979,917,612,112,604,278,939,636,507,962,982,372,144,
444,114,544,636,838,351,371,109,389,167,083,411,122,338,395,241,597,095,276,
704,459,152,692,976,557,708,634,375,421,025,601,510,242,371,994,092,259,467,
583,963,581,681,641,828,867,303,559,754,798,300,856,897,055,247,799,874,162,
207,033,357,230,136,319,021,268,277,612,997,356,494,769,972,745,772,628,791,
418,720,050,292,692,562,205,424,289,277,117,505,483,430,146,548,908,452,652,
927,034,572,068,841,615,110,086,225,467,490,597,279,746,915,526,214,036,665,
781,831,832,983,036,106,302,051,117,576,586,115,141,200,951,400,459,234,397,
191,560,060,980,397,290,991,783,052,933,614,835,868,808,260,873,620,104,033,
201,934,992,703,687,831,671,133,704,462,048,989,119,899,001,029,979,650,087,
728,473,321,652,245,505,050,712,529,747,861,043,686,787,338,246,683,810,455,
230,691,089,892,848,298,928,819,347,506,029,098,347,891,125,270,199,873,071,
683,918,489,543,806,075,425,222,715,872,177,750,801,681,276,958,963,770,157,
917,015,529,279,212,133,467,754,982,256,669,111,388,128,549,152,668,457,387,
778,527,758,102,216,916,848,191,721,210,615,706,405,463,740,258,468,039,077,
306,470,109,074,062,030,928,934,795,332,239,779,538,720,699,806,220,739,026,
180,555,253,870,447,533,002,012,860,622,818,874,982,496,671,454,432,212,571,
706,039,930,589,345,254,302,191,965,704,821,639,945,909,591,877,164,327,783,
488,150,084,583,072,143,559,839,164,063,043,885,774,906,471,810,893,957,315,
722,658,544,050,864,710,053,094,413,554,643,870,098,890,293,423,777,960,348,
937,062,714,486,040,487,936,084,728,383,146,619,519,417,944,530,130,297,029,
747,693,024,645,076,547,478,577,204,109,524,427,044,832,019,695,266,200,586,
627,574,598,411,569,506,634,600,270,553,276,460,395,001,613,329,428,361,629,
225,313,219,242,608,783,634,127,132,097,636,497,440,507,640,723,397,632,548,
917,552,675,150,387,697,484,344,804,121,825,140,450,003,052,989,016,446,245,
318,206,778,792,610,659,797,165,884,704,351,929,260,558,466,666,684,123,193,
735,819,981,853,984,345,930,718,080,516,687,526,125,674,315,255,887,801,590,
706,458,725,728,591,690,502,442,475,032,110,385,324,186,648,545,434,600,633,
002,417,006,936,498,366,955,429,405,033,526,202,773,336,532,122,876,080,272,
550,430,547,709,322,017,131,882,183,379,096,880,813,073,133,794,631,699,719,
208,868,088,287,202,838,267,070,218,783,253,856,700,156,812,339,905,175,794,
646,274,404,421,423,935,108,178,876,248,254,250,873,743,274,308,489,548,825,
426,106,725,028,402,763,436,466,011,560,076,233,517,167,650,386,952,434,624,
509,437,521,582,008,685,325,713,154,810,788,598,348,174,577,544,053,420,575,
749,904,815,565,164,491,494,551,487,013,002,196,468,043,537,250,633,934,288,
985,192,169,385,425,520,854,278,769,664,457,357,968,237,028,440,775,607,062,
765,881,279,572,595,813,200,102,816,452,906,489,564,381,129,393,611,538,742,
011,486,011,248,552,336,328,502,096,376,895,096,749,505,980,341,395,613,407,
262,126,318,695,595,304,196,867,969,245,904,180,574,450,175,809,981,439,244,
275,940,542,046,873,218,380,688,442,262,317,357,501,671,695,619,552,954,870,
653,267,328,570,082,889,122,573,883,262,905,879,278,943,505,177,773,166,846,
334,817,137,023,544,027,510,353,538,179,412,562,755,817,910,280,067,300,639,
475,010,167,411,047,352,729,860,460,851,176,453,713,771,117,584,197,516,024,
155,627,515,326,455,946,728,954,099,791,512,158,044,456,304,912,050,867,285,
540,034,212,326,331,701,595,894,734,681,317,450,848,817,908,040,715,323,022,
085,252,109,992,516,943,922,825,483,297,667,874,810,020,588,196,979,348,278,
969,357,072,692,500,863,376,336,186,888,263,496,150,572,719,621,101,812,974,
889,719,686,300,184,947,294,979,022,159,708,620,008,838,340,059,248,598,855,
101,643,201,068,812,686,431,184,163,652,361,634,864,289,077,322,397,890,236,
250,307,382,907,486,388,608,324,663,991,138,044,970,325,179,072,809,107,758,
705,921,435,276,067,718,847,096,845,265,325,502,911,165,441,646,347,843,588,
010,262,995,345,839,900,690,271,750,545,392,823,560,574,185,801,467,227,879,
718,031,733,976,096,680,830,154,510,137,611,087,919,349,313,975,290,577,613,
584,404,954,131,505,826,812,220,830,923,499,037,604,557,179,946,035,778,826,
165,275,826,779,753,184,289,681,514,663,936,820,061,062,797,119,860,443,170,
062,722,820,561,160,452,657,092,690,152,305,191,933,917,040,176,816,211,722,
802,651,822,575,797,203,917,111,646,065,432,012,505,773,058,291,807,812,760,
908,806,481,749,855,666,208,336,804,758,643,983,109,332,919,187,024,090,742,
496,322,256,302,862,332,804,751,066,247,007,570,241,400,864,819,486,158,819,
909,633,049,732,503,299,800,150,533,133,861,532,851,797,904,887,731,040,313,
704,098,611,018,419,387,732,069,901,294,817,400,400,101,522,432,293,540,841,
637,142,624,064,910,536,784,043,117,680,300,114,579,238,618,344,384,909,352,
875,928,130,305,693,556,406,796,250,421,438,003,870,705,215,824,547,969,757,
630,842,634,058,357,817,046,097,281,969,855,365,838,973,879,991,843,402,480,
049,381,445,996,362,876,568,559,722,325,913,184,828,074,798,114,074,199,018,
593,803,113,418,333,063,251,065,315,711,452,413,483,353,007,705,071,468,437,
755,101,634,761,126,225,533,542,342,665,815,247,634,849,451,237,854,063,760,
998,789,945,964,096,211,999,981,480,253,960,308,428,569,686,829,950,055,692,
884,344,055,051,129,364,988,779,887,635,764,631,978,927,358,149,890,141,210,
017,328,861,489,262,284,829,494,786,577,921,586,792,925,868,617,483,302,003,
849,406,773,361,786,552,788,963,236,470,675,236,290,265,009,157,344,481,689,
666,779,012,528,185,890,504,737,621,983,613,353,438,411,835,646,315,293,189,
404,272,315,462,758,939,929,936,841,686,921,604,600,077,583,955,936,663,875,
266,771,486,094,612,044,435,215,858,859,496,506,227,579,083,052,992,286,604,
310,803,700,655,257,272,015,142,781,120,537,983,636,802,560,259,536,567,765,
235,033,844,222,800,740,258,544,948,423,324,732,262,976,329,179,543,187,573,
780,879,640,278,483,253,714,763,578,579,310,363,781,036,696,695,499,324,521,
130,167,773,393,420,003,357,070,018,317,581,184,472,072,598,857,187,617,991,
484,915,215,094,413,653,528,624,838,121,210,157,229,089,421,420,163,619,263,
390,461,054,867,061,240,282,800,757,283,144,976,412,983,215,759,864,730,232,
794,844,600,184,327,656,894,938,942,638,354,413,889,537,991,838,758,315,830,
081,417,314,340,628,517,696,608,684,115,135,554,141,548,892,933,922,012,811,
953,169,464,840,023,158,293,883,891,967,606,457,527,675,664,193,840,436,912,
453,332,494,767,967,183,136,681,494,113,968,320,521,036,999,797,724,415,693,
111,921,690,422,229,512,975,622,113,095,151,717,580,706,117,329,992,485,377,
662,235,986,604,589,606,793,299,607,667,069,681,091,934,751,133,584,875,808,
399,423,420,403,595,529,718,043,485,066,116,776,171,135,577,999,197,928,329,
783,720,198,754,056,824,730,721,818,161,787,444,342,077,937,562,928,169,500,
870,673,209,665,218,718,982,199,368,819,669,542,916,172,558,334,464,422,308,
336,856,466,844,459,436,469,078,150,657,040,519,020,987,290,889,477,723,094,
413,647,493,866,778,755,635,822,552,038,540,424,147,966,313,974,930,416,882,
237,442,513,092,650,013,778,750,861,350,531,158,636,904,280,904,528,989,849,
359,685,007,312,930,413,638,944,795,450,540,779,524,733,391,536,637,890,547,
207,012,552,619,976,901,607,079,748,781,613,304,324,866,158,015,382,083,573,
399,723,498,492,545,016,160,930,547,256,504,526,229,998,043,743,387,543,616,
454,446,951,694,969,847,178,145,004,022,275,180,259,351,518,375,190,547,366,
039,797,001,126,600,575,819,559,698,114,076,035,906,219,500,844,874,146,384,
894,060,496,085,215,179,035,533,226,684,583,999,751,203,117,898,959,784,602,
246,872,181,235,121,889,270,576,879,039,933,967,809,161,299,047,076,839,401,
034,701,179,729,098,298,164,023,846,310,698,867,527,741,857,513,374,924,122,
287,970,936,178,969,894,185,152,010,704,312,020,051,081,082,530,721,471,785,
970,008,545,857,139,565,472,716,469,540,042,971,697,693,324,444,988,110,191,
706,543,640,162,501,441,202,920,473,573,718,935,827,983,286,722,045,105,510,
374,323,650,499,523,303,794,604,062,539,468,509,758,015,711,825,952,625,281,
680,388,277,744,648,316,454,293,704,572,434,535,090,672,575,834,763,027,173,
489,618,146,789,811,401,088,408,060,404,258,100,706,826,358,162,738,061,035,
802,070,493,499,024,663,540,852,628,749,687,512,937,711,408,896,302,324,388,
631,195,651,855,909,536,877,722,295,079,892,396,477,260,894,548,383,036,912,
868,647,166,421,409,983,677,088,608,802,422,876,956,466,522,957,486,445,035,
312,340,602,995,645,297,868,741,159,618,785,369,130,842,651,528,167,743,088,
938,497,636,679,823,453,611,381,887,280,365,973,278,843,774,802,519,426,072,
980,255,235,151,742,027,354,974,222,168,848,052,003,006,649,978,155,278,332,
501,829,604,987,397,855,085,511,246,242,927,395,898,372,891,021,273,236,939,
963,877,660,961,188,618,061,368,340,183,427,546,317,373,340,510,912,717,607,
196,725,428,042,500,745,540,552,667,703,171,095,964,132,227,335,233,648,863,
950,494,633,862,713,096,028,777,967,211,112,342,420,780,225,125,074,005,501,
484,940,509,395,617,207,664,708,045,807,618,432,751,593,055,064,534,522,012,
215,775,354,963,686,192,681,011,736,752,167,983,978,419,565,234,296,076,522,
558,492,982,976,702,461,358,267,509,688,368,708,714,806,244,683,062,066,730,
494,178,439,134,849,175,845,611,391,026,141,385,075,929,310,859,627,456,499,
897,402,031,518,218,943,693,534,864,619,617,872,378,717,984,952,653,527,776,
477,169,047,570,540,988,066,337,408,511,914,652,381,392,821,371,547,921,743,
160,550,078,628,087,435,527,321,991,409,155,311,658,551,567,299,059,575,076,
058,946,936,043,302,421,814,348,108,648,283,704,229,326,374,090,866,658,965,
418,887,520,607,564,398,129,210,002,668,327,483,393,152,311,549,030,501,969,
716,807,429,807,504,318,075,585,742,263,781,749,660,511,719,010,011,164,713,
572,436,179,124,934,649,349,470,715,300,789,593,491,645,182,578,559,319,356,
043,447,407,758,974,120,156,603,963,749,065,867,994,032,525,369,725,489,401,
313,888,177,160,693,856,250,087,562,363,544,255,538,561,117,521,591,852,433,
872,817,056,562,059,454,651,804,269,106,389,627,332,407,718,560,369,548,937,
014,016,583,867,219,774,516,576,176,308,574,536,494,714,665,667,453,505,932,
984,673,139,124,974,230,703,789,968,360,930,870,218,687,142,604,741,178,119,
117,635,336,513,324,404,089,618,298,735,602,094,027,227,857,284,602,405,568,
387,775,135,884,456,840,064,451,635,670,589,013,232,450,709,196,806,923,712,
470,446,086,400,132,979,823,436,517,270,684,748,301,535,301,300,637,825,649,
771,235,232,079,434,160,127,872,159,189,716,188,342,490,339,723,019,854,920,
171,420,237,879,914,852,022,367,546,659,373,268,230,618,634,417,016,183,893,
239,042,787,480,969,969,847,552,132,587,053,570,046,600,329,282,806,700,809,
630,312,824,259,750,546,910,222,623,765,223,643,349,192,479,395,225,917,693,
831,330,085,411,273,323,032,835,580,857,314,147,880,329,660,256,858,186,051,
893,900,232,671,252,566,499,909,895,400,752,300,708,293,507,609,193,930,479,
166,445,550,799,741,627,677,209,319,685,828,629,148,440,199,999,449,332,238,
843,042,318,299,528,882,006,953,432,706,478,309,041,809,441,585,103,342,132,
016,275,014,363,033,712,381,663,232,835,146,509,188,662,527,995,351,425,281,
127,541,914,394,806,453,862,615,839,600,805,374,183,222,937,780,401,993,037,
095,558,308,920,263,307,819,859,796,680,374,231,572,260,586,129,528,463,774,
532,675,907,942,968,335,604,570,061,423,293,310,635,400,971,042,906,429,651,
084,346,332,001,158,435,423,630,584,150,843,662,117,572,564,040,504,659,711,
372,322,458,890,011,435,727,787,702,774,048,572,431,589,654,875,748,785,466,
391,888,625,731,402,710,753,718,928,659,948,100,028,921,948,823,995,667,609,
821,883,031,212,044,068,881,161,077,434,411,503,504,430,992,851,072,502,733,
420,027,870,654,485,536,547,435,994,866,820,553,458,488,796,409,747,947,313,
138,581,690,289,881,415,882,433,059,671,796,461,053,341,897,879,541,634,215,
437,141,236,584,685,856,015,189,323,162,892,207,394,426,187,246,901,005,679,
154,434,094,811,515,416,106,519,950,047,919,279,682,440,725,769,035,492,132,
732,448,345,915,218,763,752,236,181,768,916,152,091,382,916,638,503,704,354,
895,959,709,287,944,086,028,478,593,182,728,645,954,860,511,101,423,795,826,
752,137,721,763,090,576,902,297,192,652,145,885,818,643,636,352,657,813,073,
637,007,893,423,145,332,838,947,343,516,605,990,827,619,519,686,393,439,593,
633,686,607,988,508,191,791,951,720,897,603,670,035,498,098,101,391,075,180,
855,047,996,762,011,866,167,944,885,161,186,285,851,506,608,531,795,644,065,
767,546,726,615,963,347,213,752,213,564,012,350,687,642,754,653,541,481,263,
276,964,690,034,658,145,774,962,138,269,217,867,840,779,138,216,589,616,636,
039,603,500,466,252,889,450,469,531,390,613,729,738,985,628,405,158,694,179,
900,741,973,341,193,306,150,327,343,656,679,949,240,264,448,994,260,482,131,
776,304,707,910,120,774,428,569,694,279,214,046,005,683,096,731,117,331,049,
313,829,232,534,194,779,868,285,184,862,506,913,654,180,923,006,607,052,282,
966,820,793,942,981,899,193,239,202,931,721,773,702,665,666,929,546,914,891,
044,098,982,131,481,622,833,406,161,936,136,765,402,095,425,288,186,463,094,
074,223,697,410,014,271,772,990,952,969,821,562,887,859,302,631,233,094,238,
825,149,927,244,310,765,688,254,778,742,582,564,607,509,426,691,630,765,739,
043,351,027,344,865,296,278,097,054,171,880,233,077,605,172,541,988,156,455,
044,572,877,135,857,294,345,378,858,646,874,871,397,674,472,442,717,241,002,
461,079,819,940,755,443,346,056,367,152,078,637,272,484,267,466,882,676,013,
681,028,934,420,242,706,830,382,306,598,904,565,153,670,043,222,903,418,635,
241,101,007,009,768,073,578,499,738,179,501,864,513,614,662,039,620,138,334,
847,807,707,580,630,577,503,386,105,955,514,375,147,712,248,540,225,138,351,
197,934,197,944,882,675,397,822,583,544,972,722,207,283,386,926,146,725,076,
777,313,055,318,830,072,205,318,806,563,161,260,673,155,964,977,600,590,438,
137,494,110,001,110,738,105,282,706,918,903,119,100,899,014,660,970,101,019,
758,233,797,193,517,364,616,732,515,189,428,240,290,969,256,427,913,364,255,
549,895,725,527,902,289,987,777,583,370,161,477,474,053,516,053,941,337,864,
571,467,904,962,568,547,819,353,123,214,480,623,291,533,268,775,137,623,829,
559,823,280,937,005,692,768,693,831,843,859,003,674,683,112,369,792,707,961,
366,334,916,221,131,107,958,565,782,331,301,494,356,555,426,017,519,927,850,
049,944,906,498,039,478,983,394,692,943,857,286,935,093,136,937,072,101,972,
021,939,978,168,912,725,977,648,037,986,753,233,109,462,800,373,452,511,485,
430,946,405,400,304,771,933,263,451,621,277,429,796,082,932,225,114,988,939,
581,516,992,285,887,955,711,726,942,142,681,158,637,868,627,049,175,077,900,
530,490,066,678,483,757,347,978,653,530,627,139,364,978,282,254,428,103,658,
010,657,839,016,494,939,707,673,003,881,513,576,074,300,171,066,071,186,816,
205,783,504,448,491,316,607,506,888,255,461,968,989,844,214,618,661,990,334,
330,480,778,400,097,225,452,590,387,378,690,118,234,493,164,194,114,774,383,
129,402,183,261,844,777,706,682,902,309,998,216,442,056,749,287,637,552,649,
950,670,154,107,013,498,751,618,631,933,708,519,722,754,629,000,318,577,867,
033,013,866,965,071,139,384,574,880,019,258,969,244,559,352,216,572,936,110,
547,219,898,958,904,881,689,499,812,077,933,613,796,482,659,829,260,796,060,
441,490,268,312,497,390,884,471,121,474,594,700,664,984,508,284,764,441,262,
919,077,126,668,555,003,674,268,346,361,876,981,220,714,110,475,401,497,862,
425,756,333,363,105,050,014,646,870,950,014,926,215,444,198,091,131,326,646,
564,900,173,741,161,382,378,189,868,716,113,854,796,981,226,718,037,011,992,
666,149,717,985,587,114,969,640,196,606,255,238,401,889,119,422,286,499,507,
395,895,065,020,135,390,650,845,722,202,766,094,615,785,554,639,204,151,535,
893,448,981,038,917,115,846,133,444,381,801,944,159,458,239,270,869,279,262,
669,269,809,083,856,145,035,927,203,314,242,948,278,615,268,486,715,758,711,
371,034,828,688,123,444,175,811,174,759,116,627,591,452,859,129,750,426,841,
019,092,166,339,169,145,393,190,847,306,517,072,139,965,606,206,377,576,769,
257,253,497,833,253,747,718,264,348,274,016,165,644,702,796,563,099,237,445,
974,702,247,494,231,553,023,639,116,381,569,175,612,415,746,251,438,223,261,
446,419,956,746,312,636,238,382,554,310,760,575,247,709,760,806,023,789,060,
473,767,921,998,862,287,261,623,409,526,733,605,976,914,878,224,070,615,504,
965,539,334,999,300,417,064,327,777,880,789,718,206,336,930,475,104,067,100,
104,161,968,840,766,975,139,941,738,893,829,250,723,472,093,282,845,562,688,
314,011,456,254,291,937,069,692,796,251,957,454,452,466,192,519,464,116,733,
612,525,366,801,116,206,749,627,468,789,643,101,971,881,189,580,557,071,543,
415,934,057,108,595,605,560,550,767,435,951,372,617,741,012,241,053,191,606,
435,244,125,303,470,224,454,822,155,802,524,223,042,148,422,298,381,762,316,
418,661,227,022,679,267,315,488,610,481,963,313,987,623,339,218,562,306,945,
290,425,897,290,132,773,152,009,291,286,650,847,458,665,003,329,949,408,506,
355,663,117,353,700,555,942,029,231,558,378,485,790,878,569,218,958,072,199,
781,501,550,638,801,044,769,907,010,159,027,339,202,597,268,637,616,585,844,
311,149,718,688,383,638,306,910,375,793,244,685,005,580,599,039,367,022,558,
434,650,868,560,071,863,220,977,678,730,040,786,676,968,269,167,463,635,316,
156,482,818,529,564,798,077,458,737,177,191,905,811,000,664,755,507,413,314,
490,288,422,499,745,683,438,424,900,152,719,560,066,310,879,938,290,200,816,
665,179,376,178,759,545,109,700,619,282,604,660,781,560,888,223,665,895,356,
706,300,349,446,234,153,989,572,279,426,353,026,802,629,061,142,528,136,120,
996,351,063,439,207,085,818,473,835,180,220,637,011,179,954,912,566,307,022,
096,157,734,918,792,359,218,201,156,969,844,550,935,595,019,205,020,263,225,
368,570,257,644,772,794,580,464,855,153,195,394,635,040,090,817,985,934,172,
770,238,300,741,359,601,157,628,236,943,316,590,503,460,866,162,853,378,771,
847,133,605,482,199,310,000,486,846,952,220,932,458,489,478,471,160,798,723,
030,911,037,837,826,102,618,780,548,552,991,273,902,611,464,324,528,088,099,
139,337,354,596,883,273,515,575,967,405,088,395,234,309,671,262,271,596,124,
987,537,194,350,995,559,320,511,800,234,585,411,169,257,810,098,462,196,190,
063,684,738,466,751,597,153,110,047,107,629,356,599,664,048,853,916,288,188,
290,350,559,322,134,198,564,986,862,123,946,453,259,850,179,424,090,322,703,
432,415,865,748,424,539,525,631,079,646,174,896,473,387,808,278,430,326,979,
325,992,860,407,920,564,249,945,307,717,695,797,999,657,471,963,243,591,863,
975,837,847,933,877,005,496,622,446,276,861,706,256,655,946,575,256,037,068,
056,455,807,847,269,777,216,885,951,249,860,503,414,681,545,459,815,279,384,
112,210,459,971,629,043,556,912,713,077,607,665,051,635,652,514,151,175,805,
727,980,706,431,291,328,277,433,450,952,342,536,132,967,172,186,496,363,045,
289,103,507,104,474,379,542,881,257,673,675,751,132,351,545,520,517,365,251,
336,068,981,131,925,855,543,600,444,552,206,585,247,174,082,756,290,176,891,
037,980,820,467,591,304,169,744,841,420,891,898,144,766,694,216,314,532,587,
352,684,199,186,838,314,568,626,027,919,250,127,045,877,105,925,899,690,577,
683,730,684,746,602,961,825,421,443,314,140,495,199,538,129,969,746,731,821,
873,960,409,748,333,904,138,962,251,620,546,352,778,931,081,329,173,586,102,
345,163,691,397,311,788,150,322,122,413,982,816,211,818,180,024,499,175,437,
245,059,540,678,048,369,561,222,321,946,591,804,485,662,413,795,928,999,941,
430,967,690,602,967,434,974,521,468,071,834,524,640,759,216,187,313,061,603,
448,338,279,001,777,196,393,685,140,443,100,884,130,908,294,785,739,408,105,
164,314,041,123,317,950,899,159,267,510,309,853,115,296,851,498,336,464,360,
104,368,189,594,367,928,730,057,148,604,483,017,400,164,324,995,941,632,608,
494,192,712,948,172,438,527,648,506,517,833,723,803,834,458,889,369,259,223,
824,049,070,104,099,482,825,357,180,416,359,493,549,387,505,853,037,749,177,
373,355,289,345,186,999,905,717,362,048,437,924,387,443,689,542,056,720,109,
785,348,343,877,100,568,042,312,062,559,583,361,299,331,246,215,307,070,787,
812,257,419,842,065,699,231,192,296,589,027,326,728,659,732,699,225,302,311,
807,363,716,491,511,531,544,844,016,233,038,992,355,008,189,047,502,733,320,
319,523,493,779,188,522,241,659,272,232,609,371,276,607,443,775,870,197,284,
946,775,332,452,283,111,028,973,642,073,227,999,481,239,081,318,306,592,180,
948,701,654,913,515,475,629,791,480,084,397,767,202,093,434,961,498,733,439,
872,675,937,286,067,996,260,229,426,569,815,775,669,277,239,461,146,571,909,
208,442,099,789,611,540,270,562,109,022,127,623,367,646,984,939,528,693,944,
159,838,114,467,621,536,712,860,781,527,500,511,080,587,782,380,026,807,548,
060,343,035,652,469,211,415,136,724,531,097,598,707,249,573,247,752,170,679,
269,195,732,761,647,983,966,274,297,299,170,386,358,979,682,570,829,224,530,
984,108,410,839,902,884,092,346,829,528,908,743,201,814,922,986,279,163,091,
307,952,525,367,089,004,594,976,082,534,733,487,741,049,774,693,773,709,400,
059,193,555,598,558,877,996,621,623,094,523,208,475,642,280,391,931,261,634,
341,657,882,612,009,838,147,158,134,394,291,360,777,856,041,138,996,334,402,
947,708,413,764,536,087,016,240,299,878,877,582,970,565,435,187,722,700,916,
676,219,094,935,979,122,957,888,114,636,985,599,504,362,038,446,600,713,998,
357,830,476,400,765,472,505,541,647,026,583,728,093,669,892,738,102,941,181,
728,079,114,311,666,493,562,021,514,772,089,243,519,363,542,937,275,605,878,
875,232,020,034,554,645,163,408,145,251,001,380,040,463,218,411,738,948,819,
883,584,072,853,770,932,381,066,015,690,425,282,599,443,098,520,220,195,478,
621,523,035,912,718,536,148,667,229,080,070,999,768,711,949,868,340,227,384,
445,613,081,784,272,529,107,496,621,255,533,598,414,051,835,831,881,548,097,
708,783,672,405,252,887,232,330,323,532,904,879,687,664,254,230,031,685,475,
104,616,105,812,725,412,324,908,652,105,842,047,703,457,786,258,555,471,491,
453,352,962,343,829,921,773,320,523,673,921,901,402,331,163,767,376,260,511,
609,898,454,838,259,344,677,405,294,207,584,487,901,901,064,718,551,855,885,
679,705,947,845,917,281,566,109,636,043,034,363,498,211,476,845,940,277,757,
954,096,346,751,194,092,169,055,547,891,444,343,484,571,091,724,191,301,867,
052,165,304,349,730,952,823,290,503,118,593,346,783,197,998,513,035,134,574,
692,306,768,920,821,253,848,925,175,644,652,942,915,708,718,643,298,239,295,
716,283,840,499,854,970,762,032,987,310,858,445,893,854,685,202,649,817,864,
954,233,397,236,697,015,892,701,839,253,123,702,621,987,687,146,865,831,047,
244,832,543,290,840,475,078,282,809,046,481,988,698,300,749,953,296,414,193,
254,871,672,412,864,051,489,905,752,465,930,976,631,749,897,690,514,125,058,
680,432,818,406,669,940,948,112,124,355,305,957,560,526,212,685,289,315,195,
741,750,108,245,575,726,984,523,843,595,875,624,780,497,495,716,734,670,602,
309,558,057,544,219,828,456,492,477,291,643,551,570,996,473,071,099,599,419,
338,220,933,780,662,463,631,039,192,168,264,993,444,751,535,190,861,933,607,
048,767,479,422,700,368,891,212,068,856,984,623,371,424,029,517,971,274,720,
038,189,658,299,167,540,854,660,087,936,625,013,289,395,437,457,558,621,221,
741,507,325,066,703,518,818,307,038,228,024,033,326,310,749,195,792,959,458,
598,832,792,814,430,059,643,884,848,268,318,205,904,601,862,881,418,091,453,
652,837,455,901,172,028,407,223,854,390,718,726,537,567,146,417,268,793,201,
930,342,777,656,858,515,053,884,913,979,155,462,996,425,358,693,637,356,559,
563,156,702,894,299,815,639,481,321,659,857,720,586,022,850,535,418,781,752,
872,617,345,468,347,721,735,249,820,559,778,809,688,526,682,498,427,159,954,
196,873,632,962,314,137,866,808,136,422,771,271,821,629,511,323,959,834,639,
797,849,657,555,824,533,947,527,408,924,896,023,386,575,911,598,432,271,176,
584,968,591,973,868,457,621,316,296,191,773,418,906,737,735,966,481,990,295,
193,256,614,551,086,553,239,253,137,401,652,007,359,914,049,654,697,334,692,
026,614,629,895,099,670,894,928,869,694,143,446,326,840,420,368,180,165,425,
516,539,870,314,275,606,587,104,076,851,442,529,107,831,762,739,025,784,520,
807,549,225,552,787,179,820,865,592,305,208,109,782,147,707,476,080,660,185,
676,020,895,269,198,388,275,399,113,583,649,383,111,748,792,832,377,058,125,
954,924,979,776,522,719,643,108,974,377,948,651,321,268,505,115,305,574,499,
146,483,451,129,358,774,221,646,248,844,190,361,727,313,726,437,728,696,564,
267,681,171,048,719,516,278,756,687,997,978,746,289,705,897,806,938,289,665,
291,646,327,433,251,050,860,263,481,195,127,082,489,844,746,404,525,708,458,
850,325,851,185,759,256,718,575,989,798,228,868,694,246,133,569,185,549,789,
251,212,967,901,596,313,168,966,284,460,022,374,525,138,582,918,223,907,118,
377,771,858,939,699,909,848,220,317,407,388,923,462,637,046,994,855,988,926,
274,605,810,802,886,296,280,470,906,091,092,595,668,850,617,466,180,661,937,
124,306,557,738,080,884,784,585,924,452,053,385,386,379,354,466,228,708,075,
465,299,636,689,169,328,324,070,889,404,251,272,905,612,063,300,966,689,369,
255,368,155,939,445,853,248,042,478,150,555,937,735,649,479,932,902,269,827,
294,892,239,784,323,057,687,988,753,538,355,917,822,640,115,109,375,163,886,
500,651,390,796,430,874,821,235,113,729,532,890,054,158,792,715,355,561,297,
127,275,659,053,611,942,704,439,333,029,629,069,047,097,673,046,110,859,438,
286,416,001,769,820,266,495,842,175,041,437,257,336,473,706,974,885,379,477,
714,829,686,291,972,965,116,782,246,131,619,798,874,112,585,116,071,800,989,
069,729,185,318,849,207,605,404,124,313,181,216,377,157,605,562,370,232,583,
266,759,015,243,565,145,110,953,521,816,115,722,131,703,502,224,258,112,452,
648,371,803,036,392,386,193,016,105,216,981,162,047,273,291,793,437,174,941,
136,398,079,660,143,484,387,705,945,369,827,389,018,824,436,773,101,585,372,
340,169,311,224,597,958,080,076,804,541,672,702,769,341,095,931,002,994,755,
389,206,965,528,877,060,765,353,086,849,071,221,849,239,188,105,943,365,193,
603,964,408,355,840,717,019,336,461,422,339,563,210,596,755,178,220,717,439,
807,439,502,783,706,468,969,912,077,773,614,976,928,775,122,245,105,205,709,
925,019,586,870,827,208,539,251,801,710,721,359,644,346,025,827,752,441,287,
858,092,161,039,399,363,656,172,069,439,156,443,713,881,351,122,209,886,222,
298,012,245,806,019,459,352,752,431,794,697,458,593,148,343,712,903,066,409,
324,291,919,488,842,776,420,839,306,825,785,148,110,420,078,595,681,907,902,
608,368,065,232,416,576,022,000,746,915,971,233,681,337,977,691,261,648,675,
874,149,272,126,887,634,719,714,965,888,258,320,912,312,908,134,249,166,654,
057,372,845,617,959,508,484,883,326,499,783,459,196,424,004,213,366,431,941,
263,393,850,965,495,692,334,095,524,059,124,046,295,620,943,823,676,127,502,
937,509,008,587,915,562,450,705,155,991,372,010,904,303,336,418,332,809,172,
360,916,640,784,325,079,755,726,151,648,878,502,908,719,657,537,847,235,399,
434,177,718,243,809,294,414,472,130,034,340,278,085,988,288,166,785,390,103,
603,112,285,244,941,163,345,459,220,748,213,022,574,270,122,138,215,294,214,
332,304,177,201,413,531,730,079,795,543,848,551,892,728,115,973,752,442,031,
741,418,827,482,120,529,991,721,430,468,009,868,628,480,319,662,393,477,006,
566,661,172,547,343,517,886,680,902,009,321,807,414,448,171,945,288,203,438,
914,283,625,416,041,855,693,711,539,921,601,326,202,619,925,015,861,586,458,
412,946,882,582,202,110,997,577,295,582,077,162,491,486,828,658,673,596,385,
645,288,352,243,003,973,100,370,069,261,165,172,640,265,170,854,836,336,311,
879,054,108,060,585,084,032,054,524,297,484,655,559,647,538,127,034,605,710,
448,173,149,997,096,947,437,135,491,295,704,234,065,447,693,851,834,162,954,
211,619,148,375,496,427,887,184,730,144,499,691,565,670,957,609,726,410,616,
587,527,093,986,720,955,876,502,892,170,077,722,596,479,103,168,508,892,111,
727,613,170,720,442,657,895,651,479,045,935,489,543,138,806,292,307,533,789,
985,274,491,775,751,985,904,310,212,126,922,277,901,151,188,843,091,723,246,
055,784,698,482,919,196,375,837,094,665,660,540,368,316,113,496,558,224,504,
321,479,900,101,219,131,634,263,467,290,736,677,211,985,904,638,473,547,408,
141,104,423,168,785,171,990,658,730,825,272,867,500,957,593,895,029,420,526,
050,073,828,016,985,397,108,525,345,529,479,437,249,045,243,736,452,496,329,
849,958,854,974,796,431,757,987,185,064,873,384,125,557,339,650,492,879,344,
340,321,322,119,419,732,143,723,371,910,382,866,868,557,241,615,622,848,055,
480,244,477,513,223,210,343,481,472,140,805,843,750,990,115,533,146,399,545,
994,324,606,216,448,586,534,829,529,513,732,172,750,635,934,856,612,846,274,
053,391,948,342,558,074,778,030,469,057,049,222,276,567,402,141,595,789,769,
646,773,972,339,414,932,324,371,853,430,846,949,083,682,023,874,457,718,936,
436,232,564,132,565,068,658,702,454,654,575,732,127,443,340,184,626,611,809,
930,861,887,016,820,436,605,068,504,017,884,063,150,172,217,617,223,637,956,
853,375,480,436,990,907,793,502,055,265,038,690,768,056,181,687,109,638,783,
236,305,299,219,834,084,567,352,493,338,302,752,524,261,244,523,416,522,977,
662,363,234,395,301,886,895,718,499,399,804,370,146,948,549,587,032,279,896,
603,368,949,286,377,318,401,567,483,690,603,174,361,346,041,045,903,478,946,
875,317,561,146,239,264,157,533,235,105,369,543,128,633,092,688,392,584,693,
013,061,265,797,077,452,896,648,441,421,098,627,528,300,210,829,732,086,181,
208,301,498,883,859,548,218,625,899,021,448,930,788,996,066,254,528,287,846,
361,718,125,226,485,230,681,663,895,563,473,178,544,979,255,080,536,228,029,
742,574,354,840,320,590,221,269,044,500,600,235,653,968,327,208,169,737,569,
111,769,160,667,121,059,710,579,113,142,230,123,295,225,950,117,231,551,812,
475,981,355,570,671,473,875,219,224,421,832,773,600,875,825,638,576,315,742,
586,614,901,248,322,593,853,739,930,490,205,375,885,523,101,505,868,106,313,
262,866,326,071,575,792,427,236,247,702,989,377,156,124,645,884,697,144,238,
426,594,900,486,487,750,079,134,074,162,002,257,068,657,644,381,678,879,910,
017,286,256,326,141,825,129,490,648,083,712,279,207,106,343,516,793,587,404,
598,672,944,347,478,529,919,708,588,855,352,712,246,705,562,156,730,349,844,
487,751,771,305,246,172,812,335,676,650,467,172,931,662,561,129,720,692,961,
928,876,098,785,097,932,548,341,240,380,011,605,870,613,102,998,757,653,959,
119,984,518,915,150,733,688,331,357,950,928,005,904,520,806,475,644,526,807,
388,130,861,160,037,626,934,711,112,609,047,834,622,788,232,406,771,497,739,
942,224,582,234,668,101,404,143,520,868,708,665,966,485,934,282,334,032,638,
866,882,539,823,784,367,408,383,620,567,120,057,813,017,389,808,589,192,543,
193,151,684,170,270,553,421,915,265,208,556,339,931,468,214,621,148,135,877,
890,755,662,459,778,869,821,088,742,332,033,101,867,224,668,373,258,914,084,
142,118,558,550,253,387,544,503,304,891,357,047,239,024,183,512,105,159,890,
030,000,877,486,580,221,633,926,360,893,385,732,135,557,384,386,774,560,067,
578,112,550,499,606,346,499,875,410,701,946,487,559,328,086,551,828,211,414,
131,954,699,103,779,953,730,553,776,694,830,212,252,776,149,138,312,667,717,
365,766,893,723,537,300,782,625,498,697,447,679,579,888,247,429,177,457,152,
090,982,402,410,376,930,191,981,708,562,557,883,664,321,136,736,382,415,787,
371,162,184,196,156,573,068,352,825,291,627,194,366,655,719,745,520,877,717,
797,124,389,002,587,159,305,344,267,243,693,613,789,682,112,185,356,435,517,
132,996,481,748,770,817,316,592,639,793,132,613,807,347,077,689,045,605,001,
034,830,071,179,123,746,166,355,973,763,405,721,167,255,912,653,368,201,624,
842,649,126,171,777,101,179,638,687,854,389,588,987,485,294,591,574,780,978,
535,801,237,123,688,632,280,708,361,165,568,299,262,603,027,189,352,618,597,
314,154,383,108,582,082,116,430,135,476,539,862,801,406,348,415,781,131,396,
398,449,585,407,307,670,852,714,358,150,131,718,066,411,088,359,865,264,666,
826,493,799,453,251,974,825,123,071,876,794,965,883,621,396,565,239,683,629,
035,962,608,306,676,742,416,467,454,901,703,043,906,995,326,339,571,419,111,
254,125,286,062,203,142,603,848,674,896,828,550,338,446,706,630,856,220,944,
036,476,217,375,698,310,785,161,841,288,896,001,775,681,662,577,450,702,243,
243,311,487,256,077,879,000,581,017,451,617,659,655,865,505,507,698,790,831,
533,795,405,677,249,801,621,352,017,925,669,375,346,767,695,725,269,817,338,
594,629,097,637,500,511,588,468,788,515,233,072,650,804,877,252,445,224,564,
920,574,591,540,167,633,613,678,389,735,533,850,752,085,354,687,537,992,556,
433,650,831,613,576,661,200,020,489,819,866,055,497,449,575,299,808,493,170,
707,051,525,779,193,345,611,686,472,984,953,815,645,780,058,154,087,861,795,
944,162,635,892,577,511,978,333,833,738,929,093,132,721,739,291,396,278,149,
552,867,793,528,957,494,805,373,247,024,042,500,419,084,208,241,763,560,404,
190,569,943,228,276,571,296,470,697,011,339,935,269,828,522,119,838,497,310,
772,131,345,208,712,916,487,683,232,297,102,946,558,513,992,184,388,916,575,
534,119,176,931,918,090,787,160,327,652,952,733,830,610,922,100,600,475,980,
758,800,132,499,553,625,176,499,935,110,793,704,214,279,115,527,411,980,572,
171,721,955,844,096,482,673,188,171,527,334,431,738,891,923,048,196,400,527,
018,695,400,873,849,260,588,474,672,551,145,453,007,811,766,602,514,882,877,
634,035,947,835,870,202,168,272,259,347,548,546,752,797,228,810,482,664,373,
744,795,030,068,469,026,031,348,698,912,567,796,018,323,370,035,895,810,716,
022,316,330,778,532,159,368,141,143,161,464,333,840,391,598,464,683,316,631,
211,863,703,941,570,549,678,778,254,979,420,200,611,851,720,776,625,984,184,
428,770,080,183,969,902,044,136,714,381,702,956,379,623,727,816,471,430,898,
074,078,944,352,731,092,720,315,150,306,185,452,574,050,262,629,784,441,329,
339,971,355,957,432,445,027,593,768,125,965,248,628,973,174,228,916,749,616,
591,956,055,004,970,974,370,477,863,750,064,262,516,860,805,094,682,577,822,
481,585,330,468,879,612,874,416,438,778,537,179,859,119,470,714,271,668,349,
927,096,124,403,605,675,980,106,438,703,390,685,892,127,497,675,593,326,737,
776,147,294,256,641,370,959,889,892,497,130,878,678,438,585,800,532,393,396,
676,623,468,096,062,227,907,620,874,528,283,222,976,417,296,432,030,669,002,
334,533,816,026,525,552,268,009,285,850,710,543,210,815,004,387,097,107,208,
493,629,218,385,402,378,363,748,033,468,156,647,437,746,418,102,037,374,344,
735,050,877,180,648,054,157,956,229,500,809,534,146,284,275,922,643,796,887,
898,143,686,250,211,018,627,156,837,812,912,176,212,870,953,095,328,710,850,
989,886,886,502,918,112,736,250,536,669,379,732,025,492,900,578,689,180,270,
392,841,755,108,384,072,189,219,091,313,234,540,358,291,122,275,366,834,315,
661,678,027,892,629,254,521,910,894,827,984,282,270,874,444,685,332,199,620,
226,561,650,835,961,115,303,985,557,623,164,613,896,361,150,896,118,711,125,
389,831,142,429,858,308,500,260,387,730,444,335,236,370,903,951,739,689,376,
869,978,084,973,803,817,596,644,346,951,561,262,327,063,351,542,401,111,294,
340,694,331,043,108,651,978,283,787,272,644,460,313,607,879,901,469,478,314,
356,202,859,822,061,115,309,721,624,279,017,483,470,674,782,699,950,837,551,
305,097,446,406,277,574,182,361,710,332,518,774,262,070,155,230,087,138,108,
394,279,271,296,343,932,688,892,653,775,201,692,921,889,681,339,414,641,250,
802,011,177,887,551,041,257,805,425,679,089,719,404,965,854,944,567,349,721,
697,505,675,793,077,326,869,558,454,238,371,196,501,023,530,477,438,207,495,
370,769,187,393,242,217,643,560,322,896,823,382,457,225,231,925,002,837,703,
147,146,008,828,718,450,795,375,975,359,470,103,431,702,667,464,140,486,620,
652,591,065,691,539,294,690,666,605,008,487,203,390,531,185,693,465,353,279,
228,235,317,929,397,738,504,573,543,002,857,257,532,765,454,409,848,370,320,
918,820,578,271,169,978,771,090,036,728,218,226,090,191,524,903,212,433,671,
296,161,442,300,426,805,309,277,381,030,223,058,848,801,823,898,006,935,699,
353,476,681,632,144,236,600,067,655,493,718,349,421,068,262,257,756,131,623,
167,286,771,127,193,369,846,784,486,145,032,444,880,171,278,466,841,989,008,
002,091,249,382,746,327,805,291,047,082,803,214,961,154,790,862,842,588,020,
486,102,355,351,725,720,374,874,633,314,218,107,766,745,514,822,350,297,447,
706,067,239,223,431,824,319,584,741,927,100,100,311,867,175,290,928,650,631,
149,280,017,519,280,388,177,713,764,088,989,570,004,335,884,334,207,593,496,
022,989,161,049,392,171,732,899,760,967,120,910,886,775,732,753,109,977,948,
157,335,789,604,649,304,139,159,973,338,641,143,046,669,057,811,295,765,832,
634,218,953,373,732,808,525,015,979,100,352,572,781,119,183,636,955,598,803,
191,327,727,878,282,514,603,283,188,056,282,440,989,758,257,193,314,478,518,
371,866,756,999,947,156,683,631,490,529,263,069,103,965,620,530,949,092,656,
214,118,819,077,827,580,773,860,376,858,626,604,874,637,541,626,340,804,014,
350,757,004,584,357,053,587,041,321,229,953,041,164,958,305,125,751,055,875,
882,130,000,591,642,321,137,669,501,571,874,403,437,091,792,581,224,934,308,
602,607,530,536,498,501,395,085,641,258,643,893,685,909,032,951,129,340,633,
669,655,010,062,260,444,510,858,924,944,496,360,276,046,914,320,753,058,882,
827,114,615,362,418,689,249,881,356,040,116,276,414,485,444,937,903,519,475,
886,398,139,377,724,174,160,724,072,511,541,823,157,493,912,426,017,903,508,
580,458,566,004,870,187,395,298,261,532,284,620,151,425,297,346,662,701,460,
106,272,023,083,102,338,579,683,406,235,468,382,322,406,938,686,017,446,909,
282,835,799,429,696,464,436,720,023,169,299,282,809,701,068,553,258,736,585,
534,667,645,766,459,753,270,182,507,771,004,885,517,219,009,828,937,139,710,
471,608,235,844,605,494,188,854,379,428,354,330,819,559,565,777,939,944,085,
804,156,714,188,498,580,609,290,662,431,607,469,408,656,365,960,691,315,518,
346,262,130,254,589,426,936,189,048,022,388,591,799,102,972,250,069,216,327,
190,988,499,358,443,821,040,559,734,805,928,839,807,606,269,541,238,502,076,
165,198,428,063,116,573,589,732,012,625,265,372,024,082,615,283,410,971,744,
505,737,097,331,946,073,571,581,682,828,114,905,249,739,975,530,081,403,900,
401,604,782,922,393,651,908,579,447,075,497,285,561,288,825,977,293,285,976,
901,391,020,085,137,248,346,167,593,113,394,353,358,725,145,278,532,679,536,
556,435,516,788,512,616,030,792,151,497,124,850,795,086,451,681,463,036,228,
488,576,229,372,561,899,088,176,531,202,270,068,113,899,969,842,942,674,352,
506,265,461,042,014,805,571,786,524,415,370,303,617,067,909,060,123,791,026,
773,921,462,626,776,631,307,976,942,467,501,510,530,003,966,005,317,082,551,
076,910,416,264,296,145,041,127,527,892,709,422,607,464,589,305,498,764,108,
465,878,207,429,028,878,216,002,717,746,921,365,554,201,966,142,664,857,949,
996,039,315,860,499,460,267,287,817,830,570,226,876,898,238,106,249,827,939,
399,388,318,995,677,856,290,534,937,856,072,076,495,769,882,606,265,897,665,
929,198,142,956,490,875,610,992,418,172,147,443,146,955,615,401,600,027,065,
236,022,290,907,223,155,152,473,847,980,337,395,039,402,663,131,184,244,550,
835,275,677,790,620,039,166,394,792,762,189,539,682,343,792,690,170,029,537,
962,136,756,639,471,163,110,187,738,702,663,677,365,712,562,037,541,359,202,
711,592,126,466,645,649,310,290,493,576,071,150,769,463,003,131,160,882,589,
455,927,258,142,261,879,673,699,512,975,284,787,625,946,537,422,398,795,560,
733,479,573,620,977,614,008,512,649,558,053,346,572,044,728,275,308,797,801,
460,872,457,269,386,593,611,626,212,335,800,578,530,355,852,881,765,038,300,
603,518,108,409,176,798,027,548,166,266,526,046,701,112,647,352,687,775,485,
962,585,291,843,270,410,017,381,342,984,376,184,901,387,917,326,937,665,000,
600,081,854,961,853,797,378,386,536,331,166,429,269,110,764,006,940,254,407,
231,355,010,382,926,383,803,106,105,696,843,489,001,382,724,803,992,618,830,
565,195,153,030,515,616,929,994,846,134,273,925,639,681,571,710,546,574,590,
808,334,263,043,542,763,068,000,156,796,624,212,777,710,820,617,261,096,300,
199,568,185,233,348,285,874,837,480,126,368,324,365,804,212,681,580,777,086,
851,562,721,188,930,526,381,503,907,214,921,992,566,090,799,148,557,088,279,
615,329,754,829,705,565,903,578,268,999,554,983,053,668,714,068,356,525,618,
327,544,818,467,151,353,866,880,770,101,109,603,346,201,907,982,792,512,899,
726,519,873,920,252,568,696,738,963,879,534,345,281,609,580,238,858,552,907,
108,998,374,414,399,510,649,551,118,293,536,991,569,256,418,489,766,531,793,
978,798,303,722,858,817,613,143,798,574,488,757,330,659,991,827,272,131,150,
423,070,494,532,055,863,576,220,038,564,941,501,826,376,285,109,285,124,139,
793,986,373,636,425,355,630,896,941,082,029,078,280,028,088,958,445,258,531,
487,186,059,752,840,337,277,432,688,276,876,813,337,736,576,543,192,273,222,
213,063,986,107,498,997,059,070,915,584,154,526,171,540,048,736,145,914,457,
894,102,389,800,732,071,990,004,189,306,882,268,376,464,007,324,269,595,558,
346,510,350,645,105,423,105,383,438,637,490,183,603,831,387,718,714,318,038,
879,459,520,418,935,747,317,568,923,560,023,883,538,658,284,257,968,232,721,
576,596,136,825,740,045,771,846,199,905,805,146,337,533,299,331,399,383,930,
528,043,647,729,034,088,221,529,496,140,336,386,683,917,376,222,510,205,496,
334,143,052,450,136,526,360,756,555,272,421,742,256,667,081,072,155,106,691,
504,591,134,793,315,983,816,052,251,864,329,219,576,724,848,263,543,013,161,
718,652,337,144,651,153,264,233,926,286,416,977,956,712,467,852,277,502,157,
476,433,034,288,188,389,542,517,063,539,303,853,154,442,362,836,325,390,648,
713,827,626,174,808,413,814,927,690,530,945,517,417,908,376,415,054,241,805,
388,020,416,298,545,751,525,267,487,519,819,924,886,946,886,836,316,462,711,
052,443,794,958,436,718,386,402,743,491,498,337,403,166,039,308,204,949,786,
675,105,317,260,627,461,452,080,974,003,188,085,574,397,737,069,725,943,423,
910,683,638,056,595,890,926,660,598,235,640,360,924,904,283,574,542,890,729,
718,801,982,925,884,694,405,359,156,868,455,159,746,140,675,882,647,315,248,
150,241,623,219,836,055,699,827,816,249,355,922,472,855,189,474,523,683,255,
746,632,880,594,543,407,956,786,665,759,465,463,281,532,241,342,058,860,489,
091,011,444,539,004,241,400,722,928,188,171,748,633,238,349,685,548,199,755,
474,760,893,462,065,098,827,950,994,395,134,711,421,739,992,548,821,940,540,
793,044,741,721,351,862,069,727,262,953,590,141,664,168,412,268,502,323,791,
904,253,808,380,634,966,753,512,715,893,454,754,280,282,710,142,640,732,879,
989,743,975,014,552,358,286,900,351,354,141,303,622,356,827,932,285,797,473,
271,606,488,428,522,918,316,305,950,332,036,668,797,068,200,954,765,138,286,
093,662,952,819,747,515,014,716,197,918,180,965,937,259,684,182,406,248,337,
462,586,925,563,837,183,024,569,566,650,920,704,411,169,108,312,491,410,778,
274,903,977,110,452,866,448,992,776,591,999,368,809,242,527,282,655,303,560,
646,655,590,556,044,510,037,330,399,568,850,549,376,068,260,838,791,385,486,
436,612,654,831,806,085,487,537,625,452,567,966,667,919,068,960,344,051,319,
748,383,552,058,272,395,801,018,271,300,250,080,842,140,379,463,527,516,253,
295,863,804,614,915,917,186,866,125,633,300,066,267,389,334,949,660,227,638,
313,452,403,624,315,758,568,247,946,954,595,671,252,369,343,393,301,225,641,
651,435,875,475,018,420,502,741,246,582,675,734,941,061,048,558,134,228,566,
955,357,981,989,931,065,326,471,762,109,261,684,249,556,704,297,891,166,143,
042,095,456,930,140,780,067,611,873,482,813,508,850,673,421,778,550,637,944,
138,545,665,340,273,834,825,090,707,566,339,254,647,494,988,303,933,657,707,
624,468,608,459,583,271,847,095,186,744,012,606,117,811,167,630,961,997,397,
972,055,589,130,909,108,579,281,744,457,861,581,650,602,396,895,829,058,243,
525,064,886,527,220,342,437,790,765,883,631,258,783,383,163,502,637,938,936,
137,556,970,544,570,150,910,619,384,884,289,244,693,826,234,774,715,004,273,
085,612,949,663,688,495,389,628,850,511,190,277,561,802,689,267,384,995,120,
630,337,650,683,304,003,581,468,940,708,061,978,225,624,441,800,889,607,507,
053,856,163,355,313,739,404,061,705,217,983,956,553,201,423,910,225,250,162,
945,394,674,877,664,046,596,147,936,003,082,783,354,813,265,748,661,488,837,
665,188,562,729,813,358,493,259,046,707,429,448,150,604,571,252,822,257,615,
857,723,256,681,789,490,343,395,722,686,711,436,769,153,372,172,384,027,375,
297,669,024,756,513,247,492,149,678,231,678,477,969,346,108,631,123,434,924,
187,333,974,310,214,743,048,340,570,744,274,520,207,553,710,224,879,727,642,
073,340,367,615,455,901,637,423,416,354,805,784,909,833,028,884,113,799,310,
224,711,018,669,448,515,220,129,797,462,573,200,700,989,728,249,788,834,706,
979,792,285,524,689,586,530,943,973,523,544,566,559,381,988,370,695,703,901,
975,803,003,623,144,166,769,120,655,710,885,327,991,613,091,130,224,496,337,
876,055,167,885,461,536,170,081,192,290,126,245,625,608,994,341,759,202,419,
602,227,300,278,299,437,000,633,147,590,847,684,430,239,360,385,113,171,644,
644,952,855,701,914,717,185,660,659,955,019,599,458,965,800,604,814,861,452,
371,238,249,872,036,139,029,268,409,510,865,303,157,190,054,909,079,592,054,
482,556,345,692,098,171,883,123,011,461,381,338,289,618,121,835,281,759,835,
599,151,032,808,168,531,924,968,128,407,835,653,572,257,508,715,620,277,298,
109,361,422,945,101,834,195,919,050,458,336,837,992,780,767,567,339,177,141,
319,620,261,599,652,462,928,830,579,164,742,924,630,986,871,598,242,309,372,
833,469,187,438,874,817,028,417,903,368,569,067,133,780,601,303,230,858,854,
060,171,860,417,543,243,113,256,485,337,436,394,581,364,516,486,468,711,141,
792,429,551,232,749,009,117,214,780,834,817,563,805,276,887,210,724,694,153,
106,450,852,860,545,935,425,085,351,178,949,883,807,568,815,480,869,547,369,
938,262,662,227,518,638,196,622,283,683,007,534,133,018,263,565,834,603,787,
584,706,899,986,310,011,869,717,009,797,580,923,223,338,443,631,104,089,609,
200,845,164,622,254,818,766,201,147,124,674,835,362,553,150,502,718,820,054,
724,911,158,000,147,898,364,537,190,768,557,676,054,052,122,753,733,350,559,
935,408,417,893,318,264,270,633,129,814,985,927,313,834,989,195,128,521,279,
073,936,661,422,656,107,937,544,590,540,876,163,531,942,771,923,962,043,559,
508,781,272,808,638,255,204,330,845,370,612,926,474,846,805,776,175,920,132,
603,968,572,465,473,321,112,270,815,111,041,006,392,441,104,818,281,091,277,
352,668,657,612,001,339,899,351,017,016,570,995,291,635,714,018,092,529,651,
755,505,281,415,749,181,450,988,159,188,134,853,647,982,022,218,789,111,876,
936,112,832,528,724,927,249,052,202,328,205,307,479,797,835,565,103,401,526,
140,625,341,787,150,310,914,793,590,262,477,547,685,087,104,968,599,432,858,
848,217,334,479,419,692,869,528,694,281,037,225,154,322,489,607,903,436,529,
368,647,417,671,404,956,564,940,635,213,222,959,592,100,050,446,509,414,572,
053,798,628,111,462,545,733,999,672,171,538,382,209,056,792,208,780,313,435,
410,729,358,608,582,628,703,566,604,797,654,023,425,567,051,708,634,230,914,
417,070,402,640,784,103,555,345,736,261,890,511,815,568,456,878,287,448,187,
919,810,249,174,511,889,063,325,946,230,066,516,908,136,017,710,204,382,737,
617,803,728,665,971,816,826,580,584,956,949,538,097,882,027,710,792,786,335,
970,671,748,848,193,922,327,094,245,567,662,891,866,235,945,975,732,487,465,
371,724,715,639,274,216,273,338,103,405,106,258,866,673,559,639,731,391,009,
770,681,187,104,515,357,243,532,787,432,697,702,815,375,392,485,503,401,718,
476,280,674,523,719,137,191,417,994,056,470,448,158,483,336,920,361,673,814,
663,130,674,810,369,999,471,603,180,475,688,470,460,346,060,774,059,489,887,
492,651,066,184,202,004,058,957,580,692,396,262,774,520,199,764,526,591,673,
954,138,338,205,141,646,977,182,084,698,368,140,654,214,905,617,314,537,891,
786,154,166,889,259,385,817,447,714,042,020,170,605,401,954,583,506,979,580,
255,925,044,820,560,248,499,031,844,613,841,334,218,612,221,392,285,963,456,
604,914,768,644,738,503,954,062,636,911,299,749,307,705,986,328,440,216,179,
441,802,412,174,683,302,943,165,731,289,242,626,731,145,200,126,001,351,998,
144,666,363,362,240,475,968,585,932,212,574,807,613,817,441,566,726,386,461,
298,795,052,882,266,865,724,035,649,398,962,985,734,865,317,772,321,357,793,
986,598,704,980,654,640,693,077,478,890,818,100,770,622,075,942,004,522,782,
662,373,628,467,384,309,887,338,101,437,088,374,036,012,300,937,969,173,822,
133,394,628,401,914,082,335,510,107,138,021,532,664,579,725,234,567,802,735,
966,385,448,374,813,666,465,958,299,900,137,295,483,626,735,969,045,134,262,
277,718,316,354,773,102,337,678,668,012,133,482,993,932,131,357,158,801,416,
874,702,762,294,940,828,683,427,233,830,261,597,105,103,910,494,426,879,962,
318,836,003,766,427,351,242,146,815,697,169,583,051,422,971,919,572,721,183,
958,152,744,708,828,460,101,547,342,768,757,809,055,823,160,250,921,006,019,
119,392,265,224,093,901,477,229,321,532,156,406,551,166,272,229,444,798,491,
823,024,073,257,836,772,244,289,640,642,445,023,742,449,269,309,350,049,018,
588,193,843,255,276,495,817,673,093,114,294,404,123,132,425,465,282,868,091,
103,359,373,296,468,634,637,503,041,891,712,361,159,164,711,409,646,019,516,
018,965,664,786,127,207,848,679,683,360,180,156,516,898,527,055,853,752,686,
941,330,668,190,913,057,045,001,897,783,820,379,939,513,914,253,458,457,068,
532,433,408,026,826,826,665,282,078,507,470,629,687,306,206,117,579,636,492,
126,313,337,300,239,358,608,452,923,706,096,712,522,678,005,814,174,439,795,
213,419,540,783,226,852,490,355,831,623,205,656,662,651,682,193,600,297,666,
968,520,729,370,443,005,636,277,375,366,992,763,196,275,658,607,144,793,083,
534,459,646,420,316,612,154,302,689,013,718,932,297,323,999,400,424,961,577,
178,658,230,144,049,918,256,773,963,009,510,201,783,701,103,638,175,050,573,
512,738,578,344,250,367,237,560,220,545,129,662,645,044,808,821,680,623,392,
900,857,908,504,218,131,928,961,633,855,907,200,183,640,588,454,935,695,027,
105,123,371,901,429,957,729,368,519,287,753,166,820,182,115,440,734,731,574,
839,065,348,039,534,826,720,703,340,691,830,452,187,502,099,238,455,128,459,
616,247,805,686,270,086,428,549,476,538,201,409,368,176,546,703,321,330,173,
680,748,142,703,782,757,547,089,169,502,428,825,274,723,852,218,417,034,780,
807,844,842,430,353,668,732,178,431,416,151,317,465,132,638,888,782,851,664,
856,993,884,670,680,364,127,427,269,221,827,365,830,953,484,778,567,606,226,
545,233,323,870,072,111,149,558,570,106,950,652,591,419,894,762,941,343,705,
212,566,750,757,067,895,529,928,312,233,204,561,503,410,918,944,623,349,663,
207,404,506,598,091,408,989,272,549,978,933,087,644,856,320,936,834,255,102,
878,483,101,456,193,120,982,629,302,116,120,572,829,112,583,815,438,501,972,
211,683,846,648,695,960,790,121,296,888,077,123,943,767,930,744,737,996,159,
040,920,548,991,091,167,534,848,156,856,485,470,385,323,744,882,763,953,257,
736,387,894,674,837,619,247,418,590,359,635,850,794,455,767,663,388,461,132,
969,104,387,176,586,490,620,260,513,055,575,190,044,012,669,597,264,927,095,
237,720,906,636,960,443,579,660,255,400,558,107,210,359,218,300,016,177,769,
863,052,616,714,725,710,059,831,073,377,351,508,346,046,498,536,676,476,437,
698,771,735,036,160,941,132,975,587,978,445,029,574,908,336,793,116,285,101,
628,729,193,382,663,167,202,853,565,852,683,699,465,032,296,642,592,207,846,
769,733,364,597,723,460,307,038,171,867,084,354,389,381,016,297,974,094,798,
047,486,348,340,070,951,257,147,850,471,954,004,375,177,501,873,013,982,265,
673,629,725,204,811,407,019,964,293,467,610,881,647,843,218,443,452,331,623,
991,134,592,052,721,946,312,635,067,217,127,148,130,162,672,428,843,764,081,
024,005,091,194,020,332,458,790,715,217,435,882,009,812,127,907,567,564,310,
165,089,594,335,618,780,237,495,605,920,219,722,349,996,140,527,615,430,916,
876,403,642,282,221,316,685,220,874,631,121,599,122,985,432,154,059,142,865,
964,968,030,586,511,153,970,759,059,841,413,016,480,739,208,864,042,654,865,
273,537,154,271,818,670,992,975,235,835,027,666,898,121,857,111,766,869,041,
617,318,603,091,047,418,887,894,641,414,480,187,344,650,354,729,428,300,019,
472,649,059,402,354,362,081,033,721,353,424,605,960,721,055,779,532,867,687,
135,160,426,130,880,903,028,361,881,730,963,884,229,796,837,810,198,638,729,
400,361,869,563,766,817,782,585,295,031,441,745,195,009,425,459,427,377,780,
431,416,357,509,518,252,926,374,204,824,809,741,315,193,381,836,805,887,408,
721,027,007,280,127,174,919,102,040,634,554,090,409,150,550,660,676,408,824,
906,995,006,533,942,760,579,932,523,736,565,174,776,587,596,250,130,340,371,
184,932,738,300,434,461,670,902,581,099,351,731,998,891,604,574,301,307,586,
438,861,151,246,718,412,224,644,798,870,531,210,299,801,864,757,540,308,851,
001,785,074,302,922,493,683,426,505,104,456,832,889,052,928,191,460,430,468,
548,363,382,102,077,403,598,558,493,710,786,095,023,213,196,488,574,393,781,
533,157,907,615,195,615,015,593,731,344,095,501,032,322,378,125,608,315,476,
105,754,971,604,627,620,474,008,923,917,561,480,816,438,944,211,790,022,449,
508,621,947,017,746,666,189,672,064,586,500,029,194,730,996,959,537,080,817,
168,660,092,567,768,375,394,911,318,537,210,105,982,815,279,602,287,626,188,
313,802,616,427,893,933,379,285,498,067,968,597,209,490,754,827,896,013,218,
783,494,249,677,845,554,416,944,238,480,859,539,955,596,414,107,216,342,846,
196,707,205,873,730,405,799,962,485,888,495,681,160,326,141,544,937,442,804,
940,417,927,301,119,335,373,733,317,893,700,924,909,197,120,543,325,921,980,
589,096,939,506,751,264,114,739,840,098,448,447,037,612,674,080,033,148,342,
781,191,111,737,945,667,864,025,826,364,059,144,704,489,376,430,124,590,330,
964,261,094,654,384,396,764,959,181,265,229,375,232,076,169,677,733,403,099,
982,682,886,604,687,504,448,052,360,721,076,682,769,812,076,986,552,614,285,
382,452,550,953,986,685,958,247,825,627,970,884,100,622,859,790,649,971,464,
715,280,581,914,287,730,914,015,109,994,294,151,442,845,821,494,100,522,081,
591,165,260,187,086,962,754,963,434,562,959,347,591,926,552,751,194,887,349,
242,826,782,506,730,884,201,380,612,442,526,916,527,313,596,589,630,959,618,
206,111,903,844,008,182,446,115,872,664,136,878,535,142,444,104,507,329,015,
183,238,568,014,486,820,522,288,815,242,601,754,268,434,930,552,175,425,667,
157,888,568,605,619,790,631,313,371,608,094,775,889,012,791,740,986,660,977,
708,467,574,266,954,407,116,421,638,971,954,291,436,808,716,856,377,433,537,
628,511,788,911,974,930,333,044,535,583,900,365,698,521,485,600,179,199,396,
918,017,674,087,130,153,344,625,778,380,012,121,263,672,767,291,612,912,700,
517,212,339,871,235,556,412,845,531,109,294,157,112,193,940,918,569,325,926,
382,360,230,367,206,146,780,123,943,095,548,031,500,863,859,189,563,847,522,
466,998,930,473,035,425,354,539,653,976,795,880,589,831,446,312,025,443,656,
924,381,724,656,538,390,736,209,751,905,597,861,748,304,720,101,116,902,044,
849,263,788,157,013,091,428,068,524,405,272,032,845,934,834,609,534,467,959,
252,505,771,556,150,994,346,346,556,411,160,542,139,272,779,408,451,043,407,
348,214,781,251,269,296,961,721,675,807,382,804,815,507,123,189,741,005,429,
431,134,180,271,442,001,596,938,077,409,626,490,023,262,409,094,146,666,565,
522,291,990,964,237,969,091,882,202,853,363,066,295,853,425,748,178,578,850,
885,261,068,006,167,618,130,326,852,560,393,601,855,843,222,089,508,328,305,
037,237,388,598,417,967,318,842,602,118,538,050,245,738,922,309,626,886,297,
002,653,804,489,187,336,154,999,431,902,055,643,588,516,130,543,251,888,070,
967,568,009,418,740,812,900,639,961,901,189,264,964,979,792,587,764,144,929,
679,335,957,019,739,853,430,670,713,228,368,446,692,805,865,728,268,718,591,
478,227,749,119,708,603,108,589,597,594,246,608,237,773,628,108,104,775,770,
237,355,644,340,760,164,177,660,499,868,976,398,151,634,620,138,143,523,783,
639,788,518,065,617,267,991,709,017,656,207,344,803,907,200,652,561,286,129,
376,741,556,527,610,325,036,724,323,452,032,680,594,843,697,655,323,486,245,
989,884,466,110,394,840,792,599,818,683,743,275,882,605,631,869,509,164,638,
188,670,683,979,134,746,338,178,190,016,047,969,093,024,831,719,448,623,532,
661,497,036,767,897,692,065,735,603,387,508,328,310,321,184,810,399,373,320,
493,006,142,687,879,004,876,046,058,348,658,637,926,889,254,431,409,674,800,
915,149,960,028,482,750,905,642,065,935,555,028,955,541,217,124,063,625,986,
555,100,286,102,647,636,102,297,278,234,863,737,195,609,085,479,337,282,932,
469,881,878,417,376,002,651,309,175,076,635,756,547,945,019,141,860,815,351,
954,307,491,469,938,704,877,108,255,995,831,975,463,658,551,702,383,886,795,
425,664,070,653,000,184,278,675,123,367,146,279,826,404,714,038,845,520,357,
969,048,196,728,142,000,006,169,272,935,359,442,245,792,297,530,371,594,582,
284,600,390,211,610,102,759,081,710,853,359,690,507,722,728,046,704,833,646,
969,475,623,445,182,253,372,244,141,635,086,176,347,504,735,870,110,552,071,
835,828,277,722,021,071,567,628,028,577,099,634,813,079,943,950,140,033,005,
749,317,453,776,200,580,784,441,820,169,686,662,333,619,659,407,575,089,021,
880,110,386,058,899,035,663,966,204,538,218,614,427,409,283,064,472,646,679,
723,718,584,330,065,441,416,465,849,041,970,075,716,393,901,391,254,794,767,
469,412,896,712,445,850,846,983,312,099,196,837,103,054,328,519,431,644,729,
790,870,380,794,371,323,944,812,331,857,397,537,417,712,922,751,968,303,162,
675,932,286,091,745,522,552,281,189,395,160,903,712,116,482,181,240,653,835,
896,652,776,012,702,125,747,299,277,463,040,073,083,902,916,386,619,105,081,
033,557,518,576,442,453,694,410,476,347,657,755,562,778,041,987,268,022,537,
795,291,747,297,011,550,101,680,218,513,408,763,270,932,497,225,680,628,807,
442,133,283,840,993,211,982,395,636,416,144,965,234,106,755,041,353,629,481,
267,925,714,571,491,940,959,850,581,795,916,247,028,122,357,871,913,279,850,
788,266,996,365,350,189,249,375,090,048,534,817,379,026,769,831,650,731,437,
859,321,524,039,344,058,968,533,569,961,513,737,566,372,570,353,540,801,669,
482,931,096,176,597,027,878,513,611,634,042,892,705,537,943,422,185,045,602,
948,040,648,845,148,588,616,750,986,870,947,857,388,333,320,369,095,206,019,
926,586,231,712,190,293,861,540,199,907,625,898,975,984,484,214,882,136,645,
038,757,480,613,438,234,029,980,870,464,450,642,666,075,623,182,014,560,354,
288,759,601,658,926,653,910,232,712,823,962,922,960,932,407,520,563,377,190,
538,274,997,252,175,932,340,200,314,764,444,950,027,754,992,857,888,297,845,
124,887,385,861,768,893,367,034,552,053,825,435,389,431,196,194,832,957,975,
021,168,991,892,118,377,672,530,653,857,608,727,449,149,662,446,947,087,980,
436,992,770,719,025,847,629,107,641,332,915,815,620,779,645,075,833,236,718,
454,504,571,671,250,331,743,871,114,994,310,023,502,344,716,782,965,925,210,
630,939,351,273,259,095,062,913,225,146,499,282,679,992,503,256,012,480,124,
960,323,882,647,800,915,891,308,730,811,531,155,455,601,058,670,210,674,569,
087,478,915,759,188,384,723,345,583,915,288,147,857,703,565,634,269,285,565,
212,748,315,859,163,559,772,607,342,097,143,675,570,508,206,522,264,052,225,
795,732,831,718,815,733,264,123,494,332,784,394,340,271,064,089,295,781,292,
864,726,971,578,834,498,132,838,466,188,976,991,967,450,889,853,245,054,665,
580,222,206,549,967,483,273,722,744,644,204,890,576,803,047,813,977,384,120,
289,615,176,905,729,907,766,915,194,701,067,672,508,470,455,710,557,463,241,
568,297,905,688,075,325,586,064,936,775,661,234,197,793,644,211,061,015,352,
690,506,572,937,403,235,708,597,966,324,929,038,620,486,501,783,027,539,921,
534,862,095,549,821,390,200,881,662,797,089,401,965,723,346,517,411,398,642,
575,073,095,723,821,934,658,317,944,400,385,961,916,978,060,319,550,913,067,
382,492,617,813,400,993,797,271,125,329,090,154,755,406,874,131,603,014,235,
590,610,129,878,648,140,584,680,317,764,526,354,103,536,589,668,750,927,998,
998,790,270,576,704,102,444,273,970,494,988,424,609,636,426,585,216,601,269,
348,647,894,704,229,586,390,260,055,870,331,510,959,929,069,069,259,452,297,
939,256,540,474,571,304,199,699,991,684,820,389,368,569,579,177,149,724,562,
886,234,684,974,922,967,660,387,112,954,620,072,833,348,719,976,155,281,260,
105,518,355,482,202,746,323,413,129,546,673,073,197,266,967,127,350,295,293,
941,690,357,777,589,451,221,300,812,810,703,545,905,288,502,876,073,266,054,
345,023,642,897,814,553,918,844,023,332,466,283,888,063,242,320,911,459,657,
677,424,801,429,294,857,894,383,472,143,335,808,782,603,093,563,324,611,837,
441,484,942,961,495,592,876,040,433,030,107,166,822,434,006,148,399,421,202,
476,486,257,014,912,444,757,953,585,907,153,664,177,491,176,876,965,715,293,
884,204,465,965,099,065,927,991,165,095,730,721,054,858,558,776,821,236,241,
401,321,639,139,116,865,114,246,205,665,983,298,995,021,893,541,413,197,412,
218,204,820,599,597,743,287,571,473,698,235,539,534,679,491,109,780,198,521,
509,675,507,550,621,638,774,010,439,308,184,244,329,901,228,924,974,904,179,
490,712,133,526,097,119,044,457,290,692,244,014,561,766,857,983,794,886,301,
230,773,576,260,241,892,448,368,416,811,668,129,622,720,186,542,747,087,909,
552,204,355,705,592,141,515,172,563,796,216,761,395,541,488,281,059,471,201,
382,929,146,949,867,457,906,587,082,740,449,840,942,376,608,368,820,572,927,
186,344,810,783,374,202,959,903,397,703,104,023,038,921,158,748,918,501,713,
026,121,975,276,950,117,722,852,366,955,547,715,009,139,446,865,070,499,451,
909,636,382,404,070,419,006,235,181,256,810,321,754,396,953,878,047,785,401,
176,269,323,781,180,506,596,360,439,383,508,152,294,973,009,699,699,256,727,
794,520,593,113,294,782,676,248,003,420,851,785,163,309,620,760,130,541,428,
915,868,986,003,934,916,686,946,517,020,130,384,789,531,712,056,239,600,517,
524,455,340,543,666,842,701,957,449,805,050,244,380,707,600,605,435,282,175,
723,601,038,239,920,186,517,342,033,967,029,505,619,948,764,001,632,849,241,
643,406,230,448,721,407,370,545,045,397,471,415,723,633,841,593,032,889,130,
602,966,473,449,073,303,063,140,866,062,759,455,013,218,186,434,160,271,852,
439,159,607,231,519,856,049,033,826,588,779,462,344,840,799,505,279,451,572,
033,692,586,131,015,396,503,649,633,569,817,465,154,970,988,956,613,418,850,
912,925,201,300,636,809,721,611,961,918,419,197,980,650,740,107,999,671,468,
808,413,861,106,663,961,391,252,443,571,296,056,347,034,541,513,876,622,934,
723,524,929,084,511,929,465,358,890,136,179,787,891,086,749,531,321,441,479,
117,011,512,495,358,541,527,577,031,411,599,570,710,974,162,920,539,674,846,
476,369,363,469,987,566,325,863,111,619,887,124,956,309,615,194,363,835,574,
142,204,910,835,853,686,916,347,698,557,264,786,528,674,422,388,639,546,074,
769,564,336,612,581,280,920,465,418,172,371,246,781,641,469,346,072,940,907,
153,358,478,318,977,144,779,475,675,406,763,000,164,463,921,957,312,115,092,
471,418,672,179,145,097,756,487,869,471,250,561,115,566,341,015,435,832,923,
479,817,326,844,796,834,550,015,335,210,162,221,097,647,337,571,941,462,024,
633,251,271,929,016,410,718,259,087,995,934,203,284,833,397,184,121,300,009,
038,709,842,905,611,204,886,150,459,117,655,563,575,985,772,725,195,019,213,
422,564,828,556,271,133,587,967,100,718,174,860,877,560,398,669,708,438,887,
057,213,056,663,857,226,206,352,223,781,398,972,999,746,607,090,089,802,230,
392,279,770,575,066,568,003,182,896,535,206,200,173,002,324,236,919,648,959,
231,507,337,955,757,781,999,204,508,996,241,698,523,471,364,255,290,991,831,
498,288,434,420,031,241,412,372,253,756,263,979,478,950,820,352,589,440,117,
461,129,580,757,653,060,113,374,402,454,693,559,083,845,845,443,656,976,784,
497,938,880,055,563,518,637,951,990,068,740,180,791,419,507,384,836,070,325,
137,956,167,602,138,295,013,733,784,440,819,126,026,362,533,490,575,168,883,
038,061,988,050,082,309,241,876,993,420,056,073,418,512,526,456,835,544,051,
278,284,614,604,659,216,095,818,324,172,040,997,328,575,179,323,812,920,485,
471,831,792,753,518,911,902,883,511,756,521,230,921,215,856,428,549,318,895,
434,784,212,294,165,356,336,061,337,738,044,949,043,862,131,346,865,465,801,
568,674,642,905,541,397,630,215,827,143,242,147,975,614,122,663,945,667,062,
786,244,931,376,872,748,704,481,947,245,915,388,230,955,564,644,685,108,731,
104,105,078,726,754,741,761,054,697,001,741,841,543,498,091,782,283,804,104,
129,529,564,791,670,863,558,769,147,525,708,272,679,921,873,773,426,774,334,
791,403,429,423,264,785,070,359,362,979,652,001,689,373,497,504,468,919,306,
888,065,847,166,242,657,464,229,414,086,130,911,462,752,542,099,106,442,304,
264,849,428,799,677,904,508,980,797,900,895,483,963,284,506,474,342,330,865,
239,401,792,447,557,057,839,090,773,082,861,170,916,459,209,535,625,108,895,
627,229,843,242,943,141,093,033,179,069,147,784,490,006,462,637,692,019,864,
321,397,784,529,997,112,377,721,505,966,533,815,548,013,293,390,006,084,629,
237,750,249,831,095,528,882,153,184,027,864,959,274,079,433,111,945,326,697,
651,565,881,054,026,334,455,099,517,582,728,934,907,072,214,518,667,359,961,
126,847,480,232,449,047,324,018,191,365,541,253,846,002,511,201,545,850,338,
174,990,793,782,603,624,463,110,647,336,754,621,051,545,637,458,242,519,058,
117,477,009,104,889,119,767,578,650,408,315,025,670,661,895,613,430,599,900,
274,364,367,925,119,477,067,109,446,227,672,989,754,706,464,714,146,919,510,
231,755,509,363,202,037,209,731,699,277,588,189,512,200,567,904,974,401,735,
095,310,534,118,690,681,035,569,248,640,950,460,359,961,579,570,269,878,411,
602,994,526,840,495,230,656,714,572,249,134,703,318,838,699,564,210,249,625,
023,310,107,839,921,630,376,748,721,041,150,328,362,987,273,297,966,253,895,
492,634,800,731,435,848,003,428,278,801,342,302,254,017,999,386,688,990,610,
555,740,668,100,785,327,802,945,861,269,084,460,664,623,144,213,879,289,610,
959,685,197,294,690,638,881,659,289,920,677,831,078,047,467,379,882,324,328,
141,168,281,956,655,255,616,873,538,430,614,977,907,902,073,318,732,739,427,
131,636,076,185,489,952,495,955,555,169,403,829,179,443,309,592,827,819,937,
894,303,862,909,336,361,550,665,878,961,239,578,720,283,136,537,824,974,248,
308,958,111,349,819,506,670,067,951,631,396,284,849,053,364,691,358,771,378,
360,405,238,627,910,780,966,038,603,132,884,400,754,844,963,170,118,218,803,
014,263,919,800,578,400,715,776,075,513,024,767,004,817,658,064,747,724,215,
581,620,629,325,409,564,781,869,131,744,606,296,895,605,310,198,003,606,403,
135,177,272,556,797,108,999,759,997,974,571,578,560,768,429,096,395,424,515,
855,940,212,152,908,668,405,234,030,796,251,683,967,279,375,807,442,699,062,
730,702,756,180,189,345,485,463,364,396,361,867,112,686,749,518,379,968,742,
698,836,522,362,517,661,247,476,943,668,690,065,964,712,270,020,842,115,344,
501,808,898,043,815,890,681,728,850,833,475,620,256,396,868,130,031,508,116,
136,587,311,595,715,624,604,147,205,965,169,371,091,327,030,542,128,203,426,
971,611,217,488,188,092,596,042,699,657,733,657,196,792,436,907,027,933,577,
944,876,110,153,089,836,152,216,471,401,632,955,828,755,893,445,823,367,757,
568,448,017,708,522,547,867,601,142,644,638,172,220,887,738,075,847,364,740,
369,710,697,954,232,042,093,845,638,797,189,959,806,814,031,667,354,943,738,
903,275,066,902,302,026,208,109,826,976,501,381,774,889,906,206,771,078,721,
283,658,607,895,249,874,514,262,282,340,883,489,867,328,763,600,281,063,111,
146,821,106,704,882,180,587,082,498,889,503,283,250,772,225,787,007,985,243,
519,473,645,771,603,439,978,662,928,353,162,108,561,089,349,326,342,914,673,
026,804,615,795,831,557,435,740,366,620,068,760,919,343,189,685,546,214,979,
254,380,698,692,803,362,677,806,803,681,950,450,351,083,594,031,210,402,986,
032,470,363,120,831,056,507,195,828,774,381,236,917,327,301,081,164,627,571,
875,435,318,831,252,606,390,554,878,794,773,083,805,738,885,915,777,436,793,
808,035,156,856,000,937,494,253,001,737,767,518,451,442,258,066,549,168,913,
371,279,079,351,452,649,304,789,480,638,036,598,147,912,721,726,834,450,759,
124,530,192,377,067,740,445,658,076,573,569,953,642,922,948,871,912,297,230,
523,788,244,009,050,014,111,404,276,357,913,065,405,701,030,883,975,875,099,
421,438,318,829,890,127,251,298,233,545,288,070,805,795,420,328,155,471,208,
039,481,351,240,879,256,937,371,229,270,390,163,867,525,418,605,095,661,526,
516,351,082,260,549,828,708,630,374,200,396,568,638,787,305,931,161,247,853,
972,978,530,758,920,107,049,956,898,564,302,889,850,147,728,823,945,580,496,
555,754,027,886,926,074,935,159,030,288,355,877,944,121,123,531,310,569,805,
486,922,859,740,379,667,906,020,266,711,571,734,143,209,480,704,083,333,108,
249,379,605,119,564,017,660,089,481,611,517,258,448,789,269,786,383,676,442,
282,502,886,924,623,422,726,223,172,097,330,096,409,113,172,532,957,323,014,
579,595,713,829,507,186,403,226,810,652,175,606,939,115,998,222,305,178,937,
288,422,325,841,723,639,898,500,285,664,776,917,920,709,172,318,982,919,696,
608,722,456,512,363,509,207,527,876,358,611,299,546,758,691,685,970,294,559,
341,916,779,331,303,307,257,528,948,787,143,394,170,427,064,222,865,883,959,
625,606,526,079,555,025,919,983,625,470,904,780,602,361,485,551,359,250,297,
727,449,545,098,618,944,521,447,769,604,007,153,375,676,854,906,013,267,694,
643,762,048,526,080,825,174,973,897,696,945,380,257,171,769,137,957,298,238,
052,469,599,519,814,989,246,114,811,958,141,567,298,174,064,669,822,675,747,
083,334,554,654,620,748,670,502,975,001,310,469,036,730,483,836,729,526,688,
908,654,683,011,418,263,972,094,891,211,569,845,169,875,076,660,315,927,002,
353,131,647,035,135,033,755,699,960,281,662,347,651,083,900,150,955,047,112,
535,694,726,328,025,368,617,219,649,449,174,391,840,496,193,447,258,535,462,
655,704,406,992,491,068,197,036,594,469,927,429,631,351,878,970,002,510,167,
559,772,766,830,479,848,137,624,237,838,293,243,640,663,656,697,783,662,380,
401,973,303,542,883,368,236,489,671,706,552,016,558,122,851,195,664,765,125,
773,311,945,640,574,610,048,567,940,197,902,116,229,437,015,260,719,124,577,
412,199,243,679,858,725,104,040,222,625,754,041,592,559,650,668,424,745,851,
272,732,351,330,530,978,954,415,988,606,540,383,300,926,557,476,409,293,204,
345,286,585,865,583,369,379,356,018,095,774,745,873,727,110,559,822,464,021,
312,677,902,787,892,319,304,764,554,078,882,510,474,085,763,522,488,024,587,
962,658,083,824,365,660,011,190,523,654,279,301,323,480,526,466,813,713,908,
666,114,783,624,629,593,791,812,721,109,356,870,975,969,341,521,185,965,977,
854,004,175,555,029,644,192,747,924,007,735,712,809,378,188,907,784,406,461,
862,171,685,270,117,267,518,591,556,748,607,380,944,055,256,734,992,638,007,
723,644,428,593,371,886,525,027,259,490,404,535,242,852,219,151,714,898,221,
545,649,533,925,041,971,393,126,548,325,644,127,133,396,145,836,607,613,173,
335,738,562,848,749,304,116,106,041,774,301,776,973,787,471,110,088,270,829,
618,851,378,106,920,272,670,920,186,040,010,868,856,309,801,573,109,556,458,
163,064,125,702,047,418,727,696,216,943,484,148,071,150,530,471,356,486,044,
260,347,436,989,623,092,311,788,233,855,371,128,185,196,614,353,413,423,354,
445,971,672,345,780,332,583,131,381,269,461,222,388,162,218,167,075,442,227,
328,797,944,194,275,298,780,210,243,426,395,377,225,678,379,052,974,209,207,
223,632,598,195,562,660,517,448,358,073,552,402,354,379,861,162,938,283,520,
686,170,785,569,880,216,312,915,824,399,069,092,969,345,855,477,926,832,706,
039,533,557,523,158,819,653,746,044,629,400,006,864,104,987,232,918,621,649,
149,649,269,888,985,898,105,772,494,872,762,254,506,332,947,248,389,086,392,
602,017,751,694,434,007,317,449,835,929,849,695,290,848,952,393,839,086,450,
580,340,953,404,705,937,205,148,871,919,423,194,827,769,607,338,958,726,692,
264,862,305,964,384,319,659,733,829,235,031,423,227,973,560,588,342,613,608,
341,772,434,981,917,971,123,989,809,604,549,492,327,528,398,122,900,849,667,
992,207,306,660,159,127,584,341,104,051,437,987,165,188,892,359,611,430,447,
246,869,001,084,784,611,034,096,037,002,387,060,773,406,925,691,234,815,719,
092,674,144,511,721,295,893,958,114,002,354,406,940,179,845,108,433,571,673,
033,463,164,281,658,454,429,967,279,505,307,840,067,042,863,876,230,549,160,
912,884,276,076,254,855,012,739,485,381,085,339,557,229,387,354,742,699,559,
680,031,069,580,177,257,807,705,099,629,166,259,559,167,723,854,652,109,934,
172,843,437,144,538,169,940,462,145,690,355,766,078,720,513,208,383,873,259,
878,208,232,552,913,133,543,807,441,260,319,941,899,623,898,298,793,644,261,
226,825,208,108,069,471,255,789,202,010,819,482,950,706,793,389,965,096,644,
056,160,388,787,261,396,528,823,809,773,104,721,518,400,731,233,571,050,692,
266,792,021,312,282,151,786,565,736,988,723,321,888,610,118,568,288,687,230,
863,350,271,526,746,805,360,063,061,652,412,266,720,170,054,710,951,201,141,
587,216,480,666,277,570,035,966,069,516,898,442,447,009,174,207,367,192,094,
313,430,909,137,366,685,437,785,138,799,509,851,066,816,301,816,423,338,156,
564,669,388,343,548,939,111,427,674,693,777,374,192,984,078,351,078,542,429,
517,308,041,690,922,376,432,642,466,191,209,979,367,255,200,705,269,189,239,
996,063,291,022,720,131,245,575,395,466,103,984,660,687,547,955,223,337,065,
832,385,958,223,907,876,624,906,862,765,587,576,569,605,230,895,168,056,127,
554,789,496,147,477,776,170,767,992,098,803,915,740,493,226,118,280,595,031,
230,060,317,560,138,671,115,226,161,755,989,375,733,661,339,113,271,478,376,
521,619,272,467,638,833,863,877,796,948,270,095,466,878,818,969,388,786,128,
154,614,686,902,696,515,825,121,338,102,244,156,555,049,552,980,229,636,053,
733,564,917,889,881,234,276,573,993,836,625,751,910,204,813,144,067,885,084,
896,439,253,251,144,181,734,743,062,716,066,415,406,752,456,600,346,727,429,
357,928,068,920,259,090,181,012,749,655,269,466,862,839,592,257,773,979,530,
930,544,341,117,176,464,154,732,945,489,495,228,904,837,302,207,746,914,918,
703,642,305,688,234,523,470,123,732,620,409,075,300,227,428,600,684,751,587,
747,926,775,832,316,815,542,204,144,387,488,565,318,211,229,725,134,021,025,
319,453,983,267,257,695,180,027,304,426,553,725,787,742,925,485,256,319,100,
880,487,138,915,260,495,734,645,160,562,697,322,588,773,910,653,860,971,613,
641,659,859,280,063,519,125,912,938,936,197,260,632,662,395,511,062,979,294,
910,317,751,273,165,125,654,414,113,052,519,406,171,073,798,140,631,878,713,
864,368,056,352,879,202,046,634,778,337,042,286,885,738,644,844,495,031,310,
078,112,705,255,500,328,166,215,666,137,895,242,963,568,006,676,718,523,635,
246,887,190,748,791,372,330,202,279,054,294,747,499,536,578,714,771,777,519,
166,368,764,245,495,416,963,320,306,574,764,063,877,265,033,829,546,523,675,
978,270,761,361,640,952,652,287,830,415,843,982,848,193,173,890,515,343,781,
908,599,369,431,829,265,789,497,776,383,229,595,483,250,587,358,334,388,654,
196,486,873,186,208,906,416,978,400,794,066,318,713,383,993,980,899,030,630,
684,252,324,067,553,813,839,317,141,787,614,462,210,982,780,534,617,246,022,
995,704,765,358,503,926,567,893,733,751,003,544,063,840,193,815,289,828,312,
901,269,005,367,161,199,451,705,327,150,396,949,124,935,048,246,358,303,255,
556,582,932,408,976,922,358,320,104,326,406,310,141,165,586,630,401,190,765,
526,585,491,550,669,949,261,467,264,209,049,552,753,518,509,264,940,667,350,
531,586,969,695,457,460,360,222,332,860,992,786,651,788,660,035,717,061,685,
168,487,646,273,212,632,806,519,219,035,484,916,633,131,786,508,383,504,855,
845,492,640,620,013,493,871,690,610,297,075,380,103,833,273,706,818,972,753,
656,892,755,484,118,164,843,770,664,164,006,096,751,632,213,806,731,509,038,
429,329,793,401,558,128,056,480,630,065,572,906,388,578,858,174,215,734,509,
872,102,564,068,103,132,532,239,390,307,826,064,753,050,560,788,894,855,661,
208,479,828,010,275,913,613,073,805,369,705,817,245,464,870,272,106,481,639,
860,270,765,525,947,562,106,960,965,028,512,336,939,817,243,434,701,185,279,
152,230,881,335,377,400,809,056,100,589,050,878,800,345,929,942,847,185,557,
433,369,102,684,410,834,281,327,689,619,465,733,076,751,486,813,413,201,698,
311,889,585,511,217,804,670,736,681,006,582,938,179,602,479,506,221,194,029,
895,416,731,053,992,254,949,471,964,266,555,539,743,513,136,967,471,301,184,
995,078,488,736,069,681,005,432,527,036,606,832,921,242,099,986,899,112,023,
675,864,669,821,038,881,741,246,496,814,550,335,018,618,701,513,538,345,492,
873,776,038,501,061,795,600,390,721,146,755,566,834,529,696,286,271,815,418,
613,247,622,902,128,159,957,170,962,029,959,602,807,433,879,312,667,474,678,
458,266,789,725,777,995,068,721,897,800,701,996,114,820,105,977,791,247,991,
335,781,935,619,033,897,731,149,318,491,510,536,719,864,052,574,401,750,914,
755,952,245,886,924,264,580,784,373,350,848,973,728,662,655,356,521,904,304,
017,996,205,818,304,875,386,220,697,335,344,307,825,725,839,632,811,470,996,
574,975,013,359,545,123,541,677,921,737,667,953,983,013,149,980,133,566,280,
476,376,528,101,860,420,410,581,738,112,581,180,207,040,351,060,884,440,425,
412,338,153,191,078,859,511,373,635,501,709,088,696,384,846,112,813,078,185,
831,762,018,048,545,809,054,463,322,646,505,256,726,118,008,223,933,494,813,
643,758,767,845,613,880,237,113,987,897,308,080,549,660,021,349,647,391,758,
191,607,371,951,527,049,185,633,677,905,299,188,381,459,975,401,474,452,597,
393,300,917,377,984,612,623,526,749,619,848,418,855,372,941,010,310,542,018,
935,028,551,810,870,857,623,252,345,857,538,649,717,007,174,452,494,258,144,
638,030,628,372,639,852,686,111,112,781,099,056,547,255,876,554,094,447,311,
382,302,557,938,420,080,177,063,738,044,609,113,418,109,881,049,851,830,432,
673,020,047,421,890,735,236,079,714,814,952,206,041,318,787,242,321,943,394,
681,887,224,027,479,676,690,441,631,815,372,742,359,086,785,170,961,639,471,
111,658,440,663,236,659,754,559,245,582,467,931,678,639,684,276,684,775,277,
495,868,603,574,769,608,157,568,532,967,152,622,610,674,099,967,485,329,155,
227,873,625,711,589,613,503,574,506,773,312,590,779,986,259,674,687,238,472,
228,442,576,506,556,694,717,643,224,631,904,300,862,775,916,814,369,304,533,
849,086,369,597,754,620,687,377,110,405,181,104,115,914,545,808,704,900,739,
893,650,195,787,734,416,492,695,783,009,314,161,669,419,496,814,298,463,402,
467,837,296,392,343,718,051,327,768,757,843,984,844,834,931,670,143,364,964,
869,435,989,096,253,273,032,825,557,804,548,352,706,951,734,935,801,951,326,
671,048,288,103,485,643,640,429,149,404,219,800,645,074,447,392,759,647,578,
450,554,121,517,374,136,582,044,756,663,987,757,815,137,973,313,793,875,369,
699,137,966,043,546,622,101,707,807,362,367,895,799,018,778,989,140,030,546,
055,143,679,828,227,497,102,274,020,809,903,922,763,697,030,434,548,973,571,
119,525,482,136,618,932,205,821,038,551,299,087,948,740,796,011,383,091,997,
269,176,296,292,230,993,174,323,877,966,275,644,139,283,730,419,371,210,642,
666,569,299,133,677,518,133,416,337,521,398,699,434,577,070,216,760,149,303,
881,711,426,902,458,741,872,359,973,367,185,558,682,227,509,621,043,959,586,
966,971,677,613,405,560,256,358,749,214,096,947,110,644,887,860,346,290,346,
879,073,650,692,973,963,750,392,050,381,142,960,602,144,527,578,994,031,881,
549,677,986,788,431,228,182,491,614,441,539,725,747,674,234,699,304,088,684,
136,723,220,617,425,255,890,752,298,707,986,266,333,559,232,160,853,137,129,
003,623,789,085,343,519,397,378,915,238,432,861,007,884,070,736,299,713,430,
375,063,466,959,457,589,106,801,417,051,931,581,064,303,253,490,395,026,397,
116,140,704,791,523,819,534,669,959,856,685,194,292,056,864,009,908,927,343,
979,743,404,338,600,287,074,442,839,071,107,422,611,713,235,710,572,446,879,
234,944,369,086,958,596,031,881,955,348,378,883,322,890,137,593,187,874,042,
978,264,599,267,917,735,404,510,029,552,146,716,386,535,886,837,958,829,612,
667,046,845,805,963,023,038,049,012,791,873,958,450,812,912,044,709,555,620,
997,352,772,247,126,889,370,967,085,393,129,030,815,369,722,751,873,177,343,
233,249,359,806,169,311,603,606,801,411,653,485,380,754,657,348,938,358,439,
257,191,563,707,490,288,606,595,628,972,933,256,511,766,085,033,351,011,153,
623,455,968,583,698,749,282,844,451,077,280,986,479,372,652,688,796,351,445,
635,074,306,325,619,459,517,180,257,521,686,216,795,839,925,829,784,401,839,
929,716,717,406,888,586,295,788,999,787,981,913,713,928,208,764,183,814,547,
216,105,387,707,915,729,286,882,903,141,635,960,966,682,931,864,628,281,773,
156,656,783,799,747,456,534,200,213,975,154,568,453,025,020,032,388,664,973,
964,824,235,904,378,871,365,607,956,586,841,237,167,960,482,375,405,340,259,
470,954,928,736,953,026,938,316,025,331,208,645,798,173,595,461,407,604,062,
040,442,566,338,725,239,419,925,991,607,572,156,852,756,997,166,192,698,535,
914,141,168,070,202,666,876,401,326,987,419,192,736,691,760,739,261,261,255,
289,213,971,957,633,335,896,294,300,165,035,543,881,610,786,826,046,139,088,
800,468,183,911,813,754,808,253,810,356,374,477,099,756,723,286,436,869,514,
773,047,805,542,952,314,254,144,776,252,985,799,545,366,945,353,697,057,413,
709,186,204,054,235,028,477,553,493,330,764,986,603,984,623,325,446,563,179,
308,719,726,827,598,258,840,041,612,709,609,072,611,857,157,452,741,173,931,
339,061,521,720,149,059,274,608,917,611,417,633,225,804,667,614,746,873,035,
486,170,977,385,645,725,749,521,373,092,317,936,935,398,586,435,556,537,350,
677,539,974,885,476,167,707,308,040,792,335,176,449,824,853,453,933,398,907,
193,021,827,743,307,346,741,053,471,904,252,337,054,264,079,188,300,813,404,
327,479,123,540,969,487,654,519,748,514,074,478,069,309,371,709,779,206,095,
225,772,355,954,498,560,752,098,286,045,177,988,600,361,470,841,275,901,876,
073,435,036,606,327,099,895,042,528,639,248,414,641,735,062,406,469,552,778,
770,200,871,906,170,436,022,760,889,033,626,888,159,475,767,308,655,214,126,
205,250,224,606,131,794,990,496,150,696,537,518,177,783,361,867,570,753,012,
698,463,612,174,150,144,277,686,707,061,981,144,014,847,972,761,187,373,044,
805,788,433,301,810,094,216,567,270,169,568,662,442,301,659,245,864,159,288,
355,935,865,662,486,418,782,132,368,275,030,128,728,129,832,691,743,508,234,
287,408,303,350,367,614,013,385,582,458,577,049,779,131,432,691,997,949,244,
966,955,565,157,953,122,119,472,216,078,786,168,435,106,352,763,587,343,521,
435,675,207,980,474,857,527,783,832,650,427,764,582,837,557,407,220,031,879,
877,842,206,948,471,389,541,516,554,383,902,502,762,519,556,663,302,904,156,
470,201,367,186,908,226,011,834,286,024,364,213,359,320,091,827,033,718,716,
502,114,114,467,438,839,386,617,428,034,250,057,030,793,979,170,674,291,602,
899,367,335,264,537,011,906,808,061,658,546,444,992,912,880,865,827,790,499,
814,264,305,834,048,990,001,807,163,732,932,207,465,343,665,520,057,313,161,
086,028,633,116,866,038,032,529,680,119,718,952,419,609,274,207,763,134,270,
254,853,420,733,182,751,228,464,234,612,859,072,462,463,103,619,120,858,961,
102,644,553,450,497,254,301,300,447,452,649,754,719,129,383,824,297,106,347,
800,937,218,748,328,132,886,817,828,355,138,464,335,372,984,948,943,300,877,
892,671,711,950,918,178,519,010,509,306,887,877,255,616,698,049,974,890,773,
973,440,628,067,673,811,886,523,807,384,908,752,820,277,095,839,880,133,740,
066,444,694,591,141,946,876,756,558,959,312,529,151,550,649,701,111,570,245,
770,800,268,649,595,519,222,206,835,852,794,379,984,284,428,672,461,982,265,
173,722,381,692,824,264,807,811,663,963,797,116,768,843,574,442,667,586,920,
962,885,057,242,742,802,317,609,828,312,337,874,000,438,666,570,876,334,696,
482,737,363,413,318,190,033,238,217,500,804,814,292,373,158,037,861,674,709,
914,472,208,915,163,621,460,374,965,671,076,967,838,955,068,738,492,571,414,
672,512,775,016,128,282,391,395,304,504,006,152,478,423,999,958,272,940,254,
189,540,852,632,427,675,123,672,233,597,293,673,734,419,234,673,078,455,108,
926,438,494,004,313,711,039,373,932,496,647,306,855,365,470,058,542,562,284,
213,251,158,736,954,120,449,336,165,030,739,059,071,209,424,250,985,137,374,
222,797,461,151,150,860,171,884,587,630,749,192,290,452,695,325,240,869,622,
199,504,234,573,319,212,872,426,792,651,406,543,867,080,865,302,590,361,797,
621,403,619,727,471,908,157,333,615,013,537,201,315,605,316,421,976,744,596,
815,661,065,166,226,208,624,991,673,785,663,478,865,851,512,270,891,959,868,
441,930,870,262,279,999,938,900,733,665,861,487,177,929,655,965,500,149,361,
061,550,343,141,854,495,401,912,119,132,127,246,371,738,130,919,384,053,842,
904,569,334,188,317,454,944,170,846,887,075,826,029,802,863,710,734,368,254,
612,001,093,105,878,863,580,047,622,504,787,067,119,039,750,319,687,847,789,
469,934,891,348,093,439,798,374,205,774,189,115,001,535,707,907,027,218,306,
226,857,281,173,230,331,587,122,694,896,647,602,555,280,226,348,835,654,403,
046,658,325,873,828,965,163,890,270,782,917,675,813,933,312,391,193,121,157,
079,185,596,087,375,814,602,034,824,912,232,759,217,061,109,302,308,435,524,
495,175,606,616,277,781,838,003,951,938,416,982,360,819,945,848,829,705,607,
169,762,141,438,605,667,382,945,547,665,544,817,878,164,232,901,417,890,961,
109,757,769,835,231,429,279,093,468,591,395,088,758,388,735,085,466,681,734,
095,543,217,666,809,798,506,111,049,521,583,325,369,809,942,544,843,806,064,
647,043,184,559,963,607,247,280,204,848,901,312,809,850,514,711,117,320,646,
617,124,215,912,068,774,276,049,266,234,350,016,745,534,432,345,033,420,160,
307,544,610,180,638,678,163,362,147,058,499,912,570,411,950,940,788,319,501,
934,749,744,185,495,490,320,304,057,710,926,918,899,427,888,694,064,659,754,
197,779,964,036,464,330,296,633,072,634,758,053,078,293,601,633,127,136,722,
566,289,675,842,903,857,301,251,218,516,533,951,545,440,132,780,493,463,936,
742,171,228,928,570,789,166,006,458,161,914,373,416,365,891,424,170,077,474,
983,403,731,322,036,526,463,460,340,435,175,332,926,080,172,347,910,797,359,
291,746,501,418,146,826,010,971,433,672,963,465,620,157,066,526,332,403,826,
568,877,819,635,270,005,743,365,247,501,432,109,877,276,183,968,399,636,341,
043,370,762,151,909,781,289,840,381,360,234,817,447,725,402,644,277,998,076,
710,422,814,626,098,927,177,862,074,083,255,268,772,045,827,474,801,009,691,
268,365,973,563,591,743,626,994,025,471,885,520,257,738,825,106,068,536,953,
834,657,736,232,308,408,520,539,827,787,640,236,809,848,844,495,041,388,148,
032,393,685,857,639,734,021,882,942,908,765,416,083,770,779,366,266,058,442,
464,659,703,679,928,025,337,271,501,192,046,891,060,303,724,279,026,034,417,
831,003,954,434,052,863,747,190,022,276,486,766,221,625,763,068,324,372,028,
461,353,783,731,457,564,945,802,570,894,883,529,931,342,050,713,344,848,028,
443,887,302,138,858,936,214,257,037,062,294,139,418,743,526,809,218,120,051,
831,316,400,160,397,621,658,864,444,095,661,026,553,011,714,752,380,004,106,
601,501,659,213,351,824,195,072,482,208,504,333,600,056,254,152,509,875,260,
428,991,049,441,461,786,134,705,070,107,862,859,082,482,800,209,242,498,131,
662,381,567,418,182,982,918,856,572,296,476,804,579,274,159,427,933,520,504,
325,832,679,926,452,511,512,938,678,533,319,733,419,561,967,811,385,819,166,
986,408,408,984,935,475,049,992,943,239,402,765,066,739,316,768,069,976,134,
277,673,912,157,510,803,551,172,037,547,984,600,467,027,493,565,942,119,323,
848,813,478,694,578,591,196,654,980,577,704,455,981,166,653,750,333,952,674,
492,648,763,080,718,179,827,680,123,735,417,551,055,631,566,258,536,034,061,
048,572,750,233,779,269,575,319,949,112,035,918,062,740,244,772,393,453,001,
378,334,562,898,527,797,837,210,188,890,857,825,176,320,428,971,372,499,830,
688,943,592,897,922,019,218,130,314,516,728,471,145,294,147,434,212,814,589,
956,634,262,626,331,988,124,206,062,605,626,218,640,245,224,282,622,223,698,
265,907,489,154,522,256,232,948,670,522,135,584,187,576,145,149,481,342,619,
869,058,778,314,986,910,728,662,439,445,721,394,332,432,725,706,889,118,253,
310,130,303,777,943,049,019,699,374,202,299,405,469,832,284,596,299,264,995,
098,110,713,579,691,225,464,584,764,403,038,953,381,025,939,448,528,234,306,
331,365,778,780,680,212,698,100,176,066,055,067,609,779,402,267,141,089,366,
654,410,574,583,138,825,926,702,086,096,771,980,845,819,562,892,719,782,339,
951,098,588,296,764,441,277,547,671,854,144,958,001,235,151,796,481,456,953,
457,665,566,957,024,852,603,927,321,764,246,339,657,119,590,922,467,808,674,
206,965,520,066,591,689,591,139,018,003,117,582,880,575,686,304,354,633,840,
890,160,385,635,824,598,903,127,710,010,298,825,086,008,350,919,823,895,858,
413,243,608,091,378,602,339,475,322,438,395,054,814,442,770,868,936,507,435,
293,228,529,647,701,024,663,910,732,966,921,299,065,708,041,470,915,077,024,
872,977,717,506,053,257,323,244,439,033,524,820,489,470,661,151,509,690,125,
586,344,272,962,485,868,887,612,681,739,681,962,283,088,767,248,028,490,072,
541,755,128,470,339,685,852,149,237,244,335,987,935,698,104,840,532,325,259,
318,849,776,552,652,799,569,341,787,163,130,608,241,066,364,446,175,924,723,
291,733,014,753,808,964,770,637,006,488,010,240,697,392,189,590,061,851,185,
969,383,678,200,879,357,417,039,551,980,186,306,819,544,983,746,866,733,847,
647,707,692,469,600,355,409,648,440,918,746,374,300,212,110,273,840,974,928,
020,255,464,707,137,167,884,408,634,482,216,000,611,698,793,355,831,846,890,
317,933,326,490,397,074,694,166,179,050,563,470,781,311,215,085,162,039,943,
587,756,590,300,463,905,479,900,293,760,418,030,678,373,153,918,510,754,097,
869,798,826,950,312,834,186,893,943,445,048,832,193,432,280,335,120,001,424,
972,104,666,860,209,725,999,780,426,363,171,044,063,718,728,066,773,891,598,
429,676,558,898,615,132,910,734,403,363,556,729,082,005,634,238,579,132,250,
433,589,524,831,254,133,563,775,721,817,334,716,718,331,089,665,948,446,153,
925,947,723,641,661,053,623,745,129,317,580,889,714,246,098,231,711,405,983,
609,818,461,133,872,904,468,073,635,463,300,777,779,242,224,015,071,489,594,
489,601,324,267,815,038,553,504,048,595,886,246,356,638,629,553,503,630,145,
025,775,752,748,388,070,519,164,178,511,165,830,040,916,190,236,851,458,826,
091,838,928,966,099,389,159,791,197,928,709,110,716,587,515,828,505,371,777,
816,463,571,167,429,830,702,288,483,592,218,863,043,986,243,848,151,806,822,
095,456,119,002,562,563,364,995,356,296,472,815,142,272,477,152,687,751,291,
285,732,194,833,472,554,060,703,312,860,389,981,647,255,219,257,210,737,628,
138,293,995,001,232,633,842,181,414,130,916,241,336,086,832,525,928,336,614,
556,406,541,281,974,567,566,727,984,088,151,575,875,471,065,677,018,103,013,
201,263,892,098,406,279,604,678,161,038,103,181,345,644,210,545,707,669,253,
265,032,617,280,158,679,452,637,595,531,246,488,195,208,463,728,140,497,021,
274,754,079,272,813,255,459,989,724,450,013,932,195,434,157,244,988,328,228,
329,032,945,742,383,740,011,170,878,174,580,000,143,828,668,777,786,374,606,
485,610,069,597,819,884,653,040,333,529,575,966,760,503,417,717,621,255,107,
110,386,587,346,300,840,265,722,415,783,776,964,335,021,837,714,578,984,640,
030,913,244,206,887,594,367,682,179,140,186,702,232,630,765,663,617,343,383,
650,578,340,765,793,927,871,066,663,676,877,141,337,349,157,782,609,327,256,
619,877,436,539,903,786,941,097,875,793,560,471,610,279,551,762,077,694,095,
985,934,850,780,562,188,702,266,854,393,053,362,692,116,326,495,777,564,816,
473,277,669,607,665,349,899,764,097,056,174,755,328,646,171,943,440,422,325,
868,951,866,030,397,888,860,057,315,886,555,072,745,395,719,295,185,803,846,
498,769,137,987,855,148,435,734,449,468,900,646,623,577,042,984,487,768,418,
190,758,078,900,562,750,786,044,470,123,850,758,970,518,053,176,645,618,923,
266,991,281,540,165,176,952,674,900,283,377,238,855,478,566,687,123,507,395,
672,147,775,466,950,556,741,992,995,082,958,102,117,108,660,110,864,913,232,
855,697,524,493,628,827,095,586,316,505,879,035,751,699,999,989,657,740,270,
374,470,488,617,771,506,811,499,811,338,776,508,995,283,187,563,962,913,920,
632,506,499,363,843,803,878,134,735,525,362,328,399,874,957,091,500,802,314,
309,683,904,525,783,101,080,275,746,286,278,800,816,411,860,457,505,954,231,
557,325,776,902,889,067,719,737,696,764,632,836,467,809,873,661,120,126,020,
063,646,561,267,468,480,573,775,274,839,625,123,597,185,268,819,565,977,765,
449,778,259,902,517,340,642,583,953,444,296,456,647,483,613,570,283,855,580,
133,716,165,702,647,004,829,813,594,036,425,358,771,006,596,334,035,997,801,
677,890,705,431,326,069,071,127,514,951,963,093,159,082,575,491,865,233,523,
150,155,813,079,206,870,156,133,116,510,336,325,579,190,551,563,540,652,374,
436,518,163,467,976,405,864,114,672,943,547,374,418,424,310,466,152,339,104,
507,795,591,215,016,312,916,904,805,188,892,096,822,541,265,824,402,369,425,
579,505,664,659,127,142,201,657,200,000,265,220,414,934,466,529,227,986,473,
257,423,063,674,088,068,985,048,737,886,956,272,039,590,896,989,564,521,681,
442,603,590,256,483,157,588,940,359,395,427,074,499,856,882,754,969,533,620,
441,392,261,032,866,026,250,439,079,092,082,809,666,442,846,475,414,896,854,
775,498,983,156,328,942,153,557,992,124,982,490,246,069,443,965,986,628,732,
042,147,190,914,354,243,190,593,537,309,239,788,194,311,363,391,731,406,066,
446,176,648,472,564,142,653,077,067,587,383,763,277,707,347,489,870,353,402,
496,550,799,494,988,851,142,010,233,879,283,953,709,282,268,277,747,717,596,
849,643,375,915,750,875,991,375,900,074,078,900,790,319,993,248,152,376,761,
400,881,408,554,396,809,341,638,807,257,431,580,826,962,397,366,013,444,275,
883,184,357,346,706,061,907,535,213,653,982,293,826,276,591,864,493,837,550,
307,917,472,718,213,236,943,965,332,639,138,551,904,350,677,335,227,670,631,
882,582,047,274,452,881,204,013,769,888,840,629,606,538,547,104,053,484,226,
666,191,717,424,295,136,112,361,634,539,578,730,763,318,841,638,158,633,859,
804,337,969,563,751,784,302,339,010,758,282,222,223,792,344,604,923,767,900,
945,003,608,679,916,760,551,279,552,067,365,202,823,120,427,417,313,551,152,
624,676,494,070,617,102,059,120,392,056,495,066,861,357,800,570,669,441,833,
551,293,321,246,318,827,883,054,030,706,573,566,306,707,931,588,004,810,191,
928,616,017,304,327,629,237,759,251,744,947,992,475,704,846,446,896,490,468,
905,178,646,240,447,713,943,698,489,630,625,399,050,345,848,973,593,079,524,
397,097,390,536,350,234,346,508,673,911,138,461,513,336,587,362,941,624,454,
621,351,728,593,029,468,990,680,368,581,431,756,347,869,789,924,679,474,820,
492,752,636,855,706,281,484,223,698,745,128,260,677,448,464,365,789,778,680,
673,572,503,279,099,321,425,659,823,721,407,082,475,562,265,562,346,043,122,
351,195,132,491,131,655,384,842,695,759,771,284,271,535,333,498,684,958,345,
241,802,598,138,710,365,319,359,725,524,241,318,445,862,577,594,335,432,763,
127,940,662,930,531,958,514,280,002,680,517,597,948,783,485,168,180,961,891,
665,862,900,874,101,447,379,805,494,945,279,480,957,260,965,841,788,949,976,
719,384,384,238,196,825,440,530,827,254,898,639,772,997,250,334,118,234,280,
061,774,760,206,642,647,402,335,073,496,585,793,663,676,274,881,654,648,244,
143,418,480,467,990,886,111,789,597,116,495,405,393,935,677,594,677,027,102,
648,627,016,935,393,611,380,983,476,487,742,512,195,193,625,122,145,339,916,
546,224,499,738,956,315,101,051,154,926,691,147,554,920,630,692,304,296,156,
863,263,894,324,675,406,525,575,797,956,910,223,268,750,520,782,688,293,609,
686,620,314,472,072,284,084,092,053,113,809,469,145,652,486,440,679,205,406,
470,505,174,261,709,658,625,607,296,238,546,287,942,731,736,700,054,885,661,
978,013,320,996,924,232,234,311,147,066,515,719,053,258,176,136,691,760,481,
115,153,819,562,487,461,350,499,884,103,601,776,257,971,926,380,074,910,178,
556,221,242,861,626,758,943,595,464,071,370,296,409,628,214,204,948,689,029,
397,840,719,859,069,893,979,343,808,707,015,485,385,109,332,903,268,893,871,
600,262,475,599,860,734,189,273,723,213,925,702,098,099,921,099,055,783,512,
441,162,156,796,058,289,046,074,923,552,243,744,984,637,317,136,282,912,154,
197,274,621,470,918,879,522,082,781,746,526,219,715,549,234,857,348,286,665,
119,950,679,073,552,560,538,003,013,243,340,291,159,899,975,322,762,366,964,
793,914,697,965,969,345,302,076,515,329,776,571,742,271,828,113,486,431,371,
488,034,839,617,877,836,186,529,283,346,217,893,015,240,993,102,722,052,629,
876,010,069,342,348,051,524,448,102,310,341,387,362,646,201,709,368,703,123,
404,508,448,738,979,577,858,569,766,369,467,843,136,673,230,926,855,363,202,
233,806,077,721,637,183,244,423,299,343,310,454,405,431,059,043,036,148,495,
893,145,585,584,308,826,373,528,852,654,262,338,441,664,678,887,451,125,089,
677,516,418,754,515,894,849,465,002,615,428,446,737,400,268,097,825,432,033,
050,366,208,071,799,822,448,383,350,519,157,813,942,956,784,484,482,122,261,
238,296,546,731,930,145,119,931,897,686,920,786,735,495,488,239,226,367,081,
119,771,127,439,410,756,308,089,228,613,901,652,677,057,622,289,844,956,613,
723,598,193,349,243,125,050,811,750,764,117,376,945,835,376,932,994,208,877,
291,598,767,779,702,904,094,810,065,873,718,112,033,773,831,168,822,634,120,
302,235,813,369,872,368,573,120,039,825,429,170,057,280,637,234,060,225,243,
586,703,410,456,078,346,747,369,141,844,824,163,970,789,830,474,318,856,101,
220,968,384,741,914,524,465,700,326,429,931,883,037,443,934,381,720,201,469,
396,502,670,657,524,450,866,104,201,496,728,785,317,732,346,225,739,516,745,
188,662,877,803,698,056,474,320,737,623,165,073,349,357,824,543,150,746,958,
930,311,663,782,904,940,247,500,588,936,916,536,283,874,912,360,615,650,178,
040,758,378,925,241,996,154,624,800,653,435,535,114,239,660,583,597,639,187,
431,224,872,328,270,135,458,781,941,667,262,988,510,149,748,841,283,141,955,
121,713,672,637,455,780,713,941,707,091,267,212,236,898,293,455,934,247,790,
516,893,667,062,058,638,766,463,528,621,181,151,122,054,693,264,925,807,976,
563,698,986,754,108,539,371,731,677,113,396,262,297,809,393,142,328,163,725,
650,521,059,266,414,097,705,772,696,245,334,569,893,456,340,121,302,478,043,
492,747,397,004,356,243,735,325,623,719,325,893,787,554,835,568,639,648,600,
992,048,317,961,579,999,729,720,192,415,721,443,930,644,807,910,160,878,549,
430,754,191,253,339,698,979,759,650,435,043,043,022,032,592,480,931,782,939,
875,429,947,213,389,308,311,225,560,655,736,111,213,666,239,485,795,088,604,
755,315,814,598,562,372,879,059,017,844,569,801,643,265,135,546,138,852,743,
481,150,622,166,976,751,292,613,823,645,040,853,405,781,947,430,647,594,837,
565,524,769,185,266,734,523,680,547,774,227,618,760,135,155,673,016,317,739,
242,607,099,943,366,376,296,978,040,853,412,849,371,586,508,244,486,880,724,
574,814,532,554,384,257,353,121,918,494,528,568,866,925,176,162,527,657,563,
007,958,577,448,869,929,793,439,643,292,603,284,693,636,606,382,269,984,226,
335,327,943,736,179,103,886,071,526,196,113,122,360,362,233,527,544,511,067,
081,050,003,297,534,269,754,271,571,719,097,650,069,083,971,044,789,478,503,
577,209,453,557,676,678,889,060,901,969,102,225,772,131,294,590,546,959,542,
947,174,340,261,304,829,080,020,026,729,379,183,691,010,048,877,039,721,538,
912,843,335,428,198,832,864,264,954,080,551,291,219,747,140,958,746,012,702,
106,030,241,573,556,987,812,296,420,849,045,073,908,039,827,056,675,217,045,
882,449,486,490,346,935,336,360,858,788,589,054,073,756,579,158,522,481,357,
574,046,090,555,110,545,934,359,580,124,310,657,691,323,270,258,190,258,021,
996,206,561,795,607,990,029,959,022,148,224,039,426,364,909,571,627,674,618,
285,533,881,076,037,623,099,308,486,079,299,119,478,743,063,892,616,995,601,
285,151,364,746,710,584,031,394,354,909,464,904,760,907,715,344,251,969,197,
052,225,908,444,855,819,742,193,272,197,429,631,382,162,736,772,260,594,470,
008,127,997,762,762,884,183,049,141,883,021,828,097,119,245,616,649,375,458,
771,494,342,422,560,962,051,390,307,142,696,788,142,249,459,936,280,526,693,
299,974,854,468,485,120,715,578,639,522,088,192,409,404,929,861,278,870,559,
177,985,746,351,401,829,003,481,722,832,352,720,075,131,360,073,336,158,686,
884,195,111,090,256,796,599,994,253,068,610,931,007,498,642,093,043,627,792,
533,595,734,277,466,666,785,254,023,026,510,450,839,858,170,513,883,463,427,
049,084,115,819,339,114,777,110,557,880,256,224,294,034,780,606,650,608,011,
406,851,393,831,765,378,151,748,453,277,388,809,376,530,730,800,997,057,946,
696,561,556,255,261,193,001,651,189,593,608,439,677,548,456,674,265,089,683,
742,803,431,226,153,874,928,039,519,219,196,132,412,729,811,410,125,129,944,
409,025,040,036,192,429,162,589,523,296,530,784,654,683,053,711,667,655,073,
438,658,222,441,800,532,361,432,063,052,020,519,349,046,559,399,930,146,251,
335,544,834,520,660,516,879,899,196,092,457,176,447,281,442,591,294,123,990,
065,656,564,741,112,915,757,706,316,667,553,259,161,097,061,302,186,112,013,
973,391,579,572,287,280,570,294,344,134,562,357,848,777,370,758,075,929,941,
886,030,458,521,564,252,503,526,478,594,568,046,994,251,780,580,810,591,588,
540,017,851,004,132,906,956,441,506,026,245,542,283,817,041,705,740,562,727,
049,964,088,842,811,033,643,794,803,366,248,806,471,530,194,201,851,445,585,
905,198,787,938,673,259,918,027,820,457,915,787,170,538,975,698,491,932,046,
227,022,752,463,195,229,279,738,010,195,111,113,752,785,919,465,042,075,947,
061,693,521,064,671,034,192,990,291,289,907,456,263,626,974,231,140,795,181,
099,088,435,438,770,393,809,400,426,256,230,310,324,990,055,658,610,679,556,
001,464,603,320,588,190,309,060,924,615,486,747,215,236,314,089,328,693,887,
337,772,195,628,342,278,299,740,930,223,447,460,073,478,288,187,122,209,621,
539,545,344,796,352,217,091,668,165,294,460,002,059,804,515,298,649,812,662,
542,091,202,924,886,412,951,548,191,798,769,366,356,222,183,182,028,572,349,
055,505,682,633,391,007,915,779,662,780,946,315,486,029,470,853,512,215,057,
039,525,872,318,171,229,574,331,765,855,640,061,309,639,581,354,060,891,239,
171,075,623,266,711,908,419,014,435,355,845,355,056,733,570,795,784,523,870,
136,519,894,832,377,556,515,859,281,039,069,778,313,679,655,889,153,614,624,
171,500,781,966,499,439,942,447,280,574,814,489,028,371,120,782,449,868,382,
024,233,274,879,605,722,174,072,378,348,152,298,419,908,493,169,430,590,864,
706,061,820,802,676,614,927,713,730,417,394,886,978,571,558,736,148,892,604,
200,124,233,284,195,019,167,101,086,520,522,826,993,287,805,330,636,769,155,
773,113,667,211,648,614,439,257,417,630,704,291,783,708,014,017,815,182,524,
799,964,151,119,937,770,924,176,798,341,507,212,362,337,064,184,653,969,183,
426,251,698,044,438,540,377,865,287,412,379,702,204,157,672,757,175,631,995,
292,218,507,894,156,737,325,302,341,919,882,471,485,822,573,601,304,515,378,
204,866,058,503,499,683,472,338,268,961,774,931,254,984,355,811,988,691,136,
294,808,754,968,079,818,297,993,054,379,179,073,881,038,464,598,781,661,361,
766,832,719,344,368,592,575,755,146,721,546,625,517,599,330,221,681,362,130,
500,386,210,641,312,720,283,232,307,777,399,063,028,420,201,579,741,464,592,
242,787,567,171,404,769,508,345,939,871,899,615,386,023,522,685,232,135,410,
828,816,444,760,961,299,105,818,670,008,791,771,606,110,676,056,309,709,183,
795,511,906,096,472,868,624,678,914,946,749,287,503,048,470,285,986,854,050,
600,370,652,299,497,030,376,453,401,482,077,125,326,876,436,660,199,402,573,
753,360,449,145,448,219,508,147,527,353,465,679,903,923,570,039,025,746,872,
971,530,631,360,274,294,843,134,899,550,561,611,645,516,360,717,855,412,734,
398,805,473,094,397,900,054,178,144,708,548,718,356,049,275,995,384,905,894,
402,067,139,306,125,664,489,915,643,227,848,880,822,100,869,561,276,561,347,
852,487,622,361,008,040,285,575,385,584,302,570,611,930,486,504,704,413,278,
715,189,708,147,082,868,867,766,892,113,109,621,038,559,424,361,689,803,104,
412,941,888,424,573,405,630,188,178,598,646,701,517,142,612,351,423,212,405,
907,302,702,269,968,568,047,424,751,102,159,864,571,622,106,523,869,628,406,
473,196,268,207,364,893,936,318,813,917,616,501,366,049,050,582,621,352,466,
734,028,483,424,750,365,939,210,283,897,793,184,436,973,751,214,889,314,231,
268,592,589,160,006,579,278,717,379,571,813,633,541,277,936,579,007,938,533,
661,797,740,063,883,303,732,715,433,206,440,072,037,372,012,156,445,048,029,
318,071,199,645,418,517,126,785,211,372,043,015,173,134,432,877,372,143,540,
372,338,175,275,457,102,014,333,704,248,882,770,575,282,832,971,315,022,946,
918,002,612,307,360,962,074,203,943,492,781,076,930,052,313,538,706,726,125,
343,801,231,996,046,509,199,906,736,964,138,390,351,959,154,790,486,923,369,
771,826,521,429,347,613,551,685,805,591,793,252,723,180,911,019,903,664,660,
438,836,230,974,705,227,166,544,075,135,598,874,313,542,778,912,648,599,976,
542,244,994,642,309,171,242,126,628,660,684,771,194,628,477,909,055,756,865,
663,768,253,522,662,375,358,072,112,432,043,697,007,815,679,208,502,109,078,
060,607,700,265,701,286,419,687,545,515,978,854,709,679,566,884,502,591,104,
389,463,070,003,298,106,569,467,150,044,241,243,790,933,844,023,181,304,134,
096,127,881,356,919,694,980,577,531,148,034,120,402,335,681,421,560,262,191,
365,409,484,011,976,311,396,194,659,342,943,291,759,730,626,270,338,468,684,
167,285,269,078,822,893,863,617,521,032,743,605,444,379,740,374,024,366,954,
302,309,707,820,676,146,166,431,361,636,531,109,386,954,577,974,548,037,762,
406,373,696,692,999,487,696,031,384,183,598,991,095,096,712,112,872,428,450,
638,297,234,498,644,315,607,998,951,551,570,071,132,900,935,029,897,470,746,
463,295,445,365,307,167,611,581,184,496,321,418,330,292,157,890,982,815,365,
777,975,894,513,083,534,574,908,872,200,702,461,569,938,578,629,359,822,534,
584,113,783,179,746,834,925,487,941,822,475,197,783,267,615,279,736,304,174,
154,596,385,503,084,511,221,394,735,308,870,338,653,340,669,520,359,311,199,
881,537,114,807,607,025,516,849,009,726,768,666,801,272,057,037,406,698,587,
415,976,251,453,744,538,039,251,662,293,827,964,100,162,969,163,763,990,801,
763,102,567,967,306,983,086,052,008,748,107,288,757,403,621,262,432,436,616,
534,342,930,638,418,016,350,719,138,764,916,619,003,839,278,407,917,418,908,
038,409,996,526,499,478,051,247,323,319,194,542,673,825,740,287,087,163,807,
555,234,786,126,223,306,563,914,957,228,708,725,822,266,811,161,688,617,352,
343,951,418,159,797,283,242,843,070,625,134,645,668,129,525,048,939,207,758,
944,457,940,883,081,382,278,332,230,308,550,653,209,384,914,770,927,107,987,
945,882,743,917,341,400,908,203,343,752,413,387,196,606,899,242,111,390,436,
839,184,940,139,390,602,848,816,484,535,922,005,070,551,432,807,339,922,552,
782,698,933,165,036,279,410,300,155,778,847,343,397,355,366,110,582,974,436,
368,026,215,302,842,724,596,205,616,943,955,872,153,380,144,481,017,322,387,
900,661,556,452,165,775,691,823,381,592,852,242,401,284,763,045,290,766,312,
203,774,482,722,272,581,859,934,212,101,064,265,398,564,058,598,499,174,464,
581,006,289,138,332,276,718,304,111,008,853,566,494,513,815,802,656,407,319,
216,854,372,227,061,625,780,652,607,080,316,496,565,256,948,847,926,833,746,
863,718,970,849,126,772,190,767,218,674,601,105,152,879,618,817,582,952,178,
382,145,949,865,864,643,345,925,491,321,228,605,729,323,856,809,383,835,472,
185,110,791,568,758,910,238,126,538,089,927,522,093,897,435,000,021,270,971,
529,865,470,024,365,897,581,670,369,228,501,210,773,049,788,924,730,826,504,
687,735,999,574,035,328,395,002,060,407,398,948,774,569,349,146,721,455,055,
153,452,237,658,346,631,275,591,711,710,670,541,489,515,093,475,972,524,260,
746,831,060,256,909,875,383,175,421,703,101,612,519,039,558,703,858,660,258,
881,692,874,173,202,198,382,460,168,344,077,725,916,376,699,900,994,791,516,
701,226,897,392,018,632,827,248,883,720,202,999,874,720,499,480,545,008,413,
073,728,207,734,296,726,234,664,072,810,144,431,676,803,490,545,136,322,218,
845,801,237,195,283,330,384,473,600,328,170,189,024,621,482,363,808,315,660,
485,546,410,526,157,986,246,348,382,962,236,610,383,203,137,303,621,666,779,
880,439,762,557,264,187,213,334,232,225,251,236,112,970,157,713,175,716,046,
316,651,774,995,080,864,976,877,846,377,094,411,306,266,889,018,741,809,407,
902,910,432,147,385,488,575,038,032,756,769,417,915,266,722,147,088,536,309,
896,032,743,552,468,593,586,712,822,756,890,351,069,638,857,103,033,497,288,
745,468,572,664,102,222,844,929,237,713,709,650,361,941,815,747,100,823,368,
451,594,737,306,856,344,838,710,658,053,968,212,898,936,993,254,841,232,927,
120,241,093,973,610,119,750,307,603,025,404,632,054,195,213,792,084,713,758,
882,335,225,848,976,936,622,594,136,492,510,723,256,855,496,491,712,391,127,
066,414,849,657,796,540,615,099,746,878,354,212,393,744,108,687,999,047,473,
339,416,338,581,649,880,634,281,301,639,450,202,497,035,489,389,352,732,858,
253,017,478,015,133,837,725,484,023,418,040,543,936,230,789,316,188,848,531,
348,244,350,832,558,633,225,394,266,503,338,718,862,118,581,137,064,313,060,
586,422,061,599,409,696,885,921,081,848,554,649,048,280,942,813,485,659,026,
008,013,996,795,529,120,768,453,492,250,335,995,196,302,845,193,553,113,587,
468,914,558,034,164,335,835,126,932,876,141,130,522,915,610,390,501,402,116,
966,137,076,309,228,192,543,642,673,908,596,408,708,043,244,391,943,421,586,
959,860,956,609,119,899,738,789,983,804,048,662,841,256,997,924,649,592,861,
044,143,557,666,299,885,598,499,778,249,455,277,319,661,724,079,578,353,537,
724,117,884,918,099,342,698,893,537,924,981,291,824,939,259,684,401,720,677,
294,521,616,042,451,384,114,585,356,611,904,818,162,179,768,757,641,484,488,
944,480,776,145,201,767,649,579,371,373,356,491,804,681,205,670,578,433,708,
493,873,042,444,011,023,824,160,912,172,091,925,346,773,215,487,262,795,236,
657,094,639,031,617,316,835,147,837,319,144,829,585,185,984,185,379,844,097,
492,480,264,685,777,868,655,406,763,145,602,302,601,608,657,750,138,404,488,
044,483,933,372,341,238,562,065,662,004,545,180,601,339,199,652,492,377,175,
738,014,846,838,459,479,843,890,335,876,493,401,673,330,017,652,831,447,765,
595,771,719,709,510,105,436,602,800,317,028,881,148,923,472,554,768,215,816,
416,491,039,300,323,846,660,453,559,662,980,329,545,350,477,415,752,275,617,
037,151,714,983,241,658,988,742,748,096,734,585,918,556,672,143,928,789,256,
378,218,475,504,479,102,547,244,803,203,460,007,916,522,505,040,559,679,003,
768,316,756,842,552,431,470,343,263,461,424,552,309,741,105,639,253,558,348,
431,187,359,143,363,107,700,690,832,336,987,587,699,870,166,143,689,202,523,
019,428,043,147,236,217,102,383,817,278,877,476,945,105,621,531,860,101,522,
674,313,064,357,135,169,836,188,865,448,877,835,810,111,450,558,878,257,885,
988,596,454,175,093,034,640,244,548,015,886,132,193,474,765,219,243,826,739,
681,621,136,097,488,159,460,125,584,254,082,102,734,695,563,079,519,496,748,
232,792,684,580,209,819,755,718,626,845,893,078,638,089,179,333,848,928,106,
107,340,238,593,075,989,924,789,624,260,388,135,787,294,871,415,392,638,833,
133,749,577,265,313,189,175,055,649,731,117,574,946,638,776,687,495,447,733,
770,250,106,644,515,696,557,775,425,378,152,844,728,120,808,093,303,129,110,
235,415,642,300,805,818,324,096,502,753,267,359,955,262,732,216,615,794,947,
974,080,950,740,798,419,188,723,357,176,376,658,609,845,907,015,852,270,398,
733,931,825,933,421,722,342,486,240,062,256,443,199,335,349,018,086,851,586,
290,402,042,336,343,872,980,637,128,819,872,623,793,844,146,611,693,781,147,
552,320,932,281,420,799,240,295,579,658,070,710,542,921,146,734,131,288,332,
592,476,495,203,388,510,881,843,800,586,940,389,615,892,621,016,701,292,227,
385,969,143,471,123,316,202,351,004,655,664,497,867,416,883,327,316,476,843,
571,427,228,620,331,983,186,306,723,782,312,599,808,430,677,913,231,712,149,
387,192,697,555,922,339,254,422,210,330,882,746,443,995,836,663,948,738,993,
188,701,601,064,718,345,954,976,456,673,730,471,216,837,128,487,601,004,033,
280,891,140,411,746,531,568,014,005,161,998,398,796,788,336,943,350,837,127,
883,728,070,902,087,001,166,895,155,932,249,965,968,040,424,299,781,187,966,
822,959,151,622,493,761,796,528,103,599,182,349,761,742,688,450,295,221,351,
424,110,778,333,035,375,089,948,899,604,539,994,398,350,351,911,209,937,292,
400,660,671,412,033,550,718,660,279,392,681,374,732,888,664,413,625,046,983,
115,415,375,563,937,875,918,712,432,699,138,132,708,185,014,996,927,193,906,
621,196,749,269,572,777,488,443,423,840,734,094,718,462,883,477,270,198,870,
018,312,880,294,980,467,718,597,022,222,158,143,432,486,394,838,304,811,288,
191,473,927,418,544,894,355,600,575,421,807,749,096,849,626,021,576,025,354,
129,382,350,822,246,228,522,595,153,564,735,144,306,148,691,694,679,248,753,
151,162,275,009,924,494,994,320,889,096,655,439,598,075,393,764,426,015,092,
573,918,390,439,155,415,824,823,988,659,029,692,800,116,976,249,942,715,681,
132,015,812,639,106,471,777,452,430,610,084,790,968,737,950,430,926,059,949,
154,941,248,082,105,006,308,276,781,856,639,209,663,383,175,335,003,435,123,
379,080,312,703,197,311,475,611,331,122,828,464,494,622,321,644,508,961,862,
776,017,254,498,495,219,628,148,040,032,841,644,602,655,738,464,341,229,969,
323,788,690,504,226,124,580,680,040,936,324,896,824,429,284,128,692,533,840,
352,325,273,715,772,624,906,895,410,498,486,218,144,897,115,196,276,747,985,
403,608,958,777,423,297,145,451,853,192,667,075,835,259,363,710,473,139,968,
447,510,124,882,688,504,508,154,085,377,691,315,498,907,860,742,156,979,704,
095,341,972,074,878,456,123,455,502,257,702,932,709,775,171,141,527,401,967,
956,650,413,281,256,911,047,377,516,145,996,589,098,283,353,863,219,901,888,
469,897,175,355,237,499,945,850,495,286,241,180,577,001,768,112,678,476,468,
073,150,255,885,618,942,091,021,315,463,050,323,888,831,361,340,296,253,831,
804,485,731,384,049,584,744,964,795,536,608,768,633,842,680,621,364,007,860,
664,990,931,378,538,396,484,486,423,818,500,337,051,816,559,564,045,045,103,
566,212,772,281,913,046,295,687,547,050,471,823,590,574,312,704,112,714,094,
383,287,085,088,244,711,843,166,676,309,159,374,199,206,172,382,191,577,745,
428,621,487,547,655,178,269,885,468,337,114,096,664,672,729,471,060,879,201,
357,378,417,060,642,358,792,680,413,609,631,551,976,458,851,342,033,279,710,
400,867,697,069,926,973,404,986,495,342,285,741,621,120,879,680,895,123,312,
119,200,192,010,301,976,990,495,420,853,760,508,904,710,269,395,646,681,011,
265,936,286,464,104,850,657,790,723,482,450,162,749,322,361,374,737,185,403,
949,578,797,994,344,334,065,506,299,732,118,533,768,083,879,375,135,167,720,
985,983,969,063,249,829,780,696,080,786,827,557,999,628,625,847,279,486,822,
061,343,319,958,154,722,531,634,793,158,288,186,925,804,189,990,004,318,601,
516,770,490,441,833,054,892,273,480,603,979,698,658,073,424,432,975,760,378,
460,589,103,285,191,445,510,763,500,190,516,057,795,208,718,468,904,206,313,
401,704,339,162,797,881,327,836,900,166,896,078,505,913,683,868,147,262,335,
050,272,406,289,543,216,345,048,346,452,293,147,334,338,592,152,028,596,674,
560,115,768,126,781,229,847,137,387,754,906,084,781,186,201,638,294,802,649,
700,008,571,389,805,768,292,918,752,490,846,429,748,095,059,976,185,229,781,
402,490,303,632,366,398,924,230,949,246,785,153,085,890,936,869,954,293,870,
758,451,359,575,809,204,089,097,786,347,243,598,581,883,863,276,309,487,937,
200,784,780,935,445,588,641,733,557,805,003,621,322,060,045,894,994,095,207,
019,079,297,193,247,772,996,154,338,993,970,562,127,885,933,991,935,723,957,
369,442,812,759,114,878,779,391,498,251,326,694,234,710,562,282,205,490,894,
980,009,776,677,368,730,248,227,182,886,102,166,871,499,607,666,565,075,281,
004,807,875,108,962,183,854,166,970,589,329,844,189,569,008,653,676,412,576,
495,533,437,565,975,766,438,776,525,343,467,484,360,121,574,905,767,365,147,
467,472,490,843,345,699,248,343,351,344,286,425,293,118,432,962,860,421,512,
801,026,956,556,825,746,805,575,802,912,163,324,412,257,134,355,459,122,302,
967,861,235,992,041,848,137,900,914,602,420,049,695,518,277,060,533,563,927,
562,503,811,436,131,432,682,353,320,850,724,360,627,591,155,134,757,726,074,
026,718,446,719,309,526,403,015,437,631,325,656,444,578,364,407,547,486,957,
760,636,915,896,773,374,309,904,620,547,525,677,373,041,885,848,838,522,468,
688,765,836,210,565,306,297,333,943,089,742,673,965,055,567,693,667,478,735,
047,370,902,087,611,230,029,951,115,814,564,977,532,799,651,773,822,011,812,
720,485,001,810,601,501,302,944,120,179,463,063,805,283,421,577,944,607,610,
495,289,592,316,016,036,841,328,094,295,219,223,325,337,431,088,013,942,559,
120,498,499,276,317,550,933,085,981,377,984,962,356,141,221,993,674,747,786,
768,026,753,423,187,298,503,657,670,115,807,054,616,104,343,506,969,149,126,
430,128,048,000,868,904,771,365,397,688,668,117,061,092,037,183,814,368,005,
812,162,540,345,132,285,742,915,114,064,892,340,753,220,531,806,846,138,970,
175,808,006,472,440,012,640,196,287,022,823,851,452,770,147,025,426,436,850,
315,474,562,879,358,055,862,220,828,602,981,697,058,260,719,762,079,578,549,
766,243,604,108,720,698,807,898,814,333,648,698,380,068,849,568,509,512,215,
357,074,380,768,268,366,644,476,586,184,332,069,014,530,059,228,982,414,820,
736,077,549,329,540,565,696,460,232,363,874,907,267,000,924,872,155,239,963,
409,802,010,935,475,565,511,535,025,005,001,995,231,698,463,910,666,536,945,
787,556,249,425,987,143,708,979,393,690,005,191,189,887,918,860,029,779,708,
621,638,201,458,089,182,507,847,171,153,103,449,457,699,095,511,793,465,639,
476,400,052,294,492,452,282,578,115,159,038,785,090,730,925,447,508,968,701,
341,887,981,255,099,606,087,633,715,779,347,687,416,708,100,984,762,594,555,
426,557,428,253,828,991,095,655,797,485,239,683,008,048,468,713,152,122,714,
825,607,871,285,670,860,181,435,293,991,985,247,363,839,195,540,737,907,237,
552,976,411,168,557,126,653,743,744,186,436,039,271,508,982,161,317,856,520,
949,261,646,667,440,820,654,772,957,018,439,720,223,377,937,275,366,405,352,
145,758,359,834,709,429,558,837,991,392,576,115,497,926,359,223,645,804,475,
855,346,045,726,796,897,884,151,622,939,661,577,927,019,996,059,964,300,589,
478,006,176,224,813,160,973,715,849,547,390,722,468,995,951,685,328,844,220,
731,503,722,665,184,425,584,662,723,120,017,691,490,634,736,312,033,013,678,
071,413,766,104,169,778,628,920,326,882,778,613,756,471,524,493,017,928,795,
441,071,213,007,232,013,236,527,939,093,518,404,148,850,835,242,896,754,064,
653,243,812,952,087,559,452,285,562,042,819,336,588,988,640,649,385,616,372,
674,987,091,473,532,034,038,752,185,661,621,644,952,341,547,451,673,711,504,
339,369,622,809,912,894,327,642,744,954,286,956,063,126,227,266,470,019,871,
554,077,649,689,858,960,651,899,933,530,379,841,978,233,150,262,543,710,049,
362,856,373,906,034,329,381,251,152,026,934,520,194,589,894,177,777,323,287,
158,509,496,530,757,356,239,628,215,886,674,790,620,707,926,460,549,913,792,
249,739,789,290,488,482,838,734,086,796,372,730,147,532,882,291,994,636,666,
796,130,397,948,326,595,506,164,045,736,468,934,620,115,840,078,145,912,197,
315,160,658,622,629,492,458,313,861,782,752,153,452,204,858,615,751,970,195,
693,445,495,906,432,714,986,324,681,304,105,002,402,352,482,090,870,591,932,
406,076,220,571,008,162,905,370,444,707,898,083,889,097,563,544,928,614,056,
504,222,482,918,222,287,663,642,316,179,238,056,381,792,353,500,381,570,025,
138,545,262,094,647,658,339,720,519,502,129,582,481,917,030,622,720,852,755,
893,179,408,151,230,885,944,172,203,420,052,802,109,732,631,032,571,158,984,
999,166,501,766,804,962,544,307,859,287,200,033,201,657,766,684,345,529,028,
243,298,338,813,368,589,887,488,661,958,476,175,769,138,764,809,264,070,505,
193,152,515,397,062,147,016,491,953,822,560,762,835,097,484,910,911,366,204,
562,405,226,201,233,261,737,642,735,787,419,118,542,300,761,038,930,172,701,
299,523,920,011,016,568,997,679,264,048,121,537,139,659,306,023,968,330,122,
168,358,340,133,127,140,629,295,721,707,867,178,729,143,851,055,655,372,157,
987,041,303,406,295,309,176,347,046,156,605,317,319,945,495,954,373,945,345,
040,273,191,841,523,330,275,958,382,259,265,536,542,024,239,753,443,582,743,
134,344,822,123,453,022,940,718,701,617,407,796,209,646,719,775,496,660,386,
506,348,624,227,406,170,434,091,407,713,246,324,452,036,962,017,654,889,318,
354,427,907,554,915,028,707,812,101,831,508,475,155,523,778,133,749,473,388,
183,467,505,678,830,747,687,494,558,337,259,372,304,324,725,998,968,991,380,
429,153,140,904,483,354,043,690,971,740,703,467,014,560,914,254,682,704,255,
545,434,771,936,396,332,485,071,515,771,921,738,019,784,337,028,619,876,481,
998,290,907,442,466,028,247,856,081,112,162,544,842,153,139,820,055,456,054,
824,191,324,171,778,569,016,538,599,627,410,209,193,514,058,863,584,506,687,
597,973,543,641,049,345,688,396,154,722,751,720,668,898,583,196,205,066,109,
109,513,276,743,010,546,859,913,010,807,143,823,472,037,827,794,911,077,422,
077,729,643,061,222,658,749,596,145,816,001,041,028,121,386,074,815,403,520,
796,211,866,032,708,694,607,544,552,593,871,152,619,758,588,787,170,532,921,
458,092,158,453,412,820,483,068,176,069,010,855,156,152,256,004,569,912,357,
946,725,871,418,412,677,604,090,981,807,914,948,928,528,740,750,363,441,809,
473,502,369,426,210,068,186,233,948,524,549,454,367,049,873,698,682,753,103,
443,601,442,380,464,962,617,744,816,536,158,968,554,818,192,101,809,282,692,
839,812,237,447,582,201,147,327,980,266,753,200,084,466,914,084,779,837,139,
298,010,493,629,479,395,783,951,045,607,641,065,866,487,333,437,645,382,714,
096,407,701,345,973,938,593,546,879,483,380,511,911,576,266,851,726,635,586,
016,535,962,923,627,962,488,349,135,044,404,791,035,200,323,428,058,156,169,
443,535,420,217,503,759,369,135,040,823,866,673,460,128,310,953,080,431,653,
320,915,065,798,739,282,449,889,201,659,106,842,573,820,183,889,758,612,260,
357,533,846,705,004,002,978,109,677,763,200,753,163,421,071,372,557,991,255,
741,911,189,794,439,654,159,514,429,320,916,180,336,902,954,522,037,255,527,
553,132,911,664,019,033,952,301,293,221,118,483,650,223,340,085,886,860,327,
590,705,066,063,179,267,618,277,505,314,848,992,474,725,958,839,156,784,962,
890,392,547,799,652,233,813,157,618,085,187,631,435,711,868,448,686,350,044,
276,455,193,685,891,179,932,462,381,947,333,707,543,053,332,560,184,285,835,
256,422,508,965,207,996,593,585,487,745,898,540,402,541,554,053,516,831,607,
600,205,635,840,831,252,116,760,845,584,985,372,268,177,464,171,259,407,252,
825,376,166,893,254,423,999,870,220,551,327,795,826,499,014,688,590,580,864,
942,414,227,421,937,252,143,863,386,056,000,868,527,126,062,357,444,408,565,
852,184,338,192,928,888,391,464,168,387,730,014,255,023,804,791,010,501,670,
918,300,819,540,833,454,005,365,332,407,411,965,541,413,587,475,582,343,217,
098,726,319,466,090,365,701,740,095,407,450,823,606,762,837,093,542,226,764,
049,612,003,627,140,730,332,159,647,122,097,577,538,972,673,288,277,714,333,
172,441,141,189,723,818,391,532,736,526,193,194,860,638,916,514,687,949,456,
353,359,932,249,917,237,666,664,658,501,685,598,115,159,012,378,585,654,492,
531,530,281,142,177,062,388,566,286,257,464,402,234,332,706,890,290,380,720,
826,042,990,921,781,395,270,087,731,730,606,755,031,111,794,024,222,997,918,
154,992,747,134,269,787,355,965,015,128,470,401,541,178,313,080,066,928,759,
724,462,706,738,637,268,544,155,497,748,203,582,452,479,443,764,728,203,624,
880,684,261,467,883,425,570,338,761,918,487,064,712,557,529,175,089,177,871,
513,265,769,619,958,933,905,534,258,185,558,798,796,345,373,715,811,451,169,
966,780,013,172,203,348,394,841,732,867,910,800,398,760,211,243,086,578,229,
865,553,653,389,158,640,620,777,510,284,419,032,869,971,875,008,180,646,419,
739,029,416,183,457,630,816,789,033,512,928,368,106,432,889,280,646,605,064,
122,663,989,169,373,687,671,067,472,652,965,593,960,480,447,559,034,029,884,
776,576,185,385,915,006,540,305,253,983,011,156,993,477,368,382,635,750,692,
523,054,599,303,661,831,802,979,006,790,208,623,683,609,538,121,498,261,067,
850,650,392,126,856,543,066,587,216,665,031,371,350,819,445,247,162,073,850,
472,854,604,309,213,126,020,317,568,803,411,690,155,768,492,089,875,623,505,
913,683,131,809,125,021,269,648,298,981,570,407,186,758,724,420,775,632,555,
432,843,916,083,327,136,102,040,784,358,816,756,191,687,536,359,315,716,517,
175,089,210,655,042,277,420,480,423,934,266,778,133,424,161,981,007,574,277,
049,592,496,210,723,838,767,653,406,903,043,638,555,266,174,499,848,111,210,
854,913,702,302,798,054,467,373,189,755,886,552,841,349,501,677,586,054,241,
870,139,891,388,429,053,638,092,285,228,384,627,063,706,479,447,769,460,330,
959,627,080,464,865,735,197,814,537,940,045,095,305,793,060,737,545,525,331,
568,077,567,685,520,505,753,852,501,485,882,540,226,770,701,768,634,855,791,
784,985,679,740,403,396,287,542,695,055,447,602,743,990,893,902,255,444,485,
884,796,388,153,183,045,858,351,168,171,504,394,576,120,180,456,208,850,997,
857,463,756,719,108,592,767,609,814,893,572,182,549,446,484,572,592,522,251,
938,983,851,076,565,956,520,896,605,375,898,974,087,249,571,742,291,217,269,
928,372,685,930,270,027,912,507,309,224,903,321,149,484,783,985,515,908,211,
550,829,930,660,127,643,762,370,559,274,272,579,704,530,926,432,321,411,255,
657,950,489,796,778,118,692,143,773,370,423,725,717,027,063,367,184,318,038,
987,952,426,756,966,851,502,849,334,529,315,748,261,892,664,872,511,536,228,
448,184,629,329,961,394,550,818,565,094,349,896,941,493,198,499,670,911,722,
665,451,425,630,385,675,857,064,694,913,913,131,813,147,852,938,159,125,658,
367,832,427,924,917,454,881,328,368,484,592,833,023,591,850,175,246,395,500,
415,899,549,280,939,095,761,009,739,887,316,909,367,030,167,689,335,470,755,
386,416,705,810,518,690,181,965,448,950,384,885,259,372,506,283,895,430,461,
175,300,691,088,271,386,874,460,563,047,757,669,253,630,753,543,812,585,168,
139,129,885,351,295,581,774,294,586,686,348,971,965,209,494,382,171,632,118,
163,554,796,106,144,258,741,490,585,020,646,332,266,547,526,959,678,359,733,
127,486,382,256,436,735,167,076,043,436,118,390,872,819,138,540,872,275,627,
575,251,041,927,301,886,855,756,924,420,686,345,886,240,431,368,589,545,759,
570,382,149,636,260,003,807,762,049,586,443,193,319,242,704,821,876,691,680,
383,159,549,604,648,843,949,914,111,234,504,810,377,499,306,386,625,164,280,
366,826,270,853,926,903,956,184,988,904,724,134,349,374,865,201,312,164,508,
663,854,876,169,828,828,073,696,752,994,487,378,379,068,299,818,791,567,834,
943,734,105,740,927,954,644,654,667,631,328,864,225,058,932,595,040,443,109,
040,982,156,299,606,806,018,253,917,366,497,894,504,972,253,179,841,589,616,
459,663,943,562,065,726,639,014,449,431,512,864,161,651,088,951,418,124,307,
237,026,421,840,127,685,733,709,680,963,685,644,039,273,833,131,531,757,222,
950,899,278,405,580,635,548,732,824,003,807,399,012,733,865,636,173,537,102,
335,908,459,457,992,484,886,436,210,735,794,762,893,389,541,436,487,266,443,
328,448,460,993,879,690,529,996,040,986,993,351,681,671,809,811,678,397,851,
396,970,650,914,745,191,285,148,039,282,670,223,109,814,233,238,277,671,262,
006,095,445,049,012,168,392,905,703,940,363,882,400,865,653,127,559,035,606,
230,769,433,277,119,398,147,946,692,425,738,338,896,157,102,561,559,011,152,
291,680,283,180,212,012,060,052,604,881,941,773,496,873,528,074,685,883,035,
997,676,507,406,496,756,696,520,666,255,936,242,723,615,211,543,350,252,270,
492,617,714,961,612,818,916,730,435,286,060,270,349,006,029,843,580,018,339,
682,523,947,688,933,932,193,962,493,079,179,321,173,361,433,917,750,460,407,
743,667,623,697,158,781,546,099,609,379,924,630,829,829,331,998,806,250,489,
787,344,909,159,249,320,654,104,991,059,255,692,120,748,169,416,423,892,518,
652,483,548,939,160,404,496,996,426,232,313,377,758,313,224,521,925,046,232,
236,220,054,502,187,030,974,966,117,196,715,892,205,760,634,072,134,094,764,
983,961,585,277,926,476,565,160,741,257,913,721,684,628,232,348,602,096,717,
158,421,029,144,777,979,015,294,974,525,056,727,859,472,023,693,850,752,749,
463,811,554,236,520,894,160,634,991,435,654,895,576,098,324,191,230,999,835,
625,250,396,877,323,378,167,922,691,360,954,048,821,366,750,050,327,834,411,
293,052,566,165,383,220,089,985,772,396,574,136,099,288,323,115,118,591,046,
622,943,222,217,576,591,640,066,104,531,551,391,582,429,559,729,089,669,653,
584,886,409,182,475,351,915,291,792,798,185,681,538,565,575,799,029,830,573,
503,700,201,613,675,442,428,592,794,637,850,062,586,741,079,327,546,499,009,
926,803,463,753,903,242,447,038,154,385,695,508,518,964,228,916,896,822,234,
023,821,256,465,472,660,438,794,733,098,371,651,167,363,416,658,877,059,995,
806,670,004,594,499,720,012,449,244,083,816,754,672,858,333,914,418,008,396,
925,297,248,046,028,113,203,899,441,620,106,775,453,877,069,423,853,273,574,
304,752,030,941,240,605,932,202,357,825,065,669,967,895,034,425,454,902,351,
572,237,844,612,981,428,136,493,465,446,681,237,988,939,887,295,737,637,535,
792,649,978,737,145,635,616,413,669,252,632,732,002,895,963,923,728,259,386,
417,160,438,395,554,789,322,555,721,508,392,576,278,311,655,933,794,994,125,
533,786,858,460,212,574,142,177,617,874,011,163,236,205,898,164,038,244,660,
636,742,152,213,953,505,735,068,989,285,282,921,109,944,196,565,923,836,777,
418,109,894,427,704,349,855,388,588,643,208,150,504,316,793,661,613,606,732,
490,510,298,030,532,532,593,063,961,229,976,955,687,563,202,327,837,791,965,
801,010,366,504,126,116,673,019,392,271,024,001,018,093,458,169,238,899,009,
746,261,399,157,320,954,281,197,128,258,807,318,355,117,098,745,769,696,231,
677,575,293,176,240,711,167,550,277,666,336,197,640,010,210,674,126,315,899,
287,302,807,838,833,923,874,601,886,741,881,759,057,102,784,450,036,942,992,
194,802,685,280,123,270,413,109,048,063,324,636,884,347,399,379,516,173,241,
392,379,387,404,031,852,384,861,670,263,700,625,110,512,286,778,973,161,658,
485,164,940,443,161,306,038,418,587,021,464,167,628,928,017,402,845,176,427,
483,008,312,155,156,943,672,841,419,569,550,555,416,821,949,163,329,283,209,
898,777,925,422,484,735,048,456,950,306,721,561,638,783,432,635,577,694,603,
462,716,591,855,613,910,641,982,852,613,539,843,851,591,301,915,657,092,054,
693,990,066,224,573,674,069,301,702,582,310,139,778,374,090,734,917,616,218,
910,192,379,804,551,896,580,416,078,587,553,916,586,443,716,443,032,004,315,
518,402,417,819,509,046,301,838,447,168,518,213,926,176,946,364,684,077,797,
994,954,645,202,638,345,945,263,859,188,366,950,821,400,287,963,451,221,024,
498,943,857,465,675,087,693,476,288,491,395,730,236,028,719,184,195,533,278,
142,459,317,079,254,654,887,874,688,021,956,254,474,368,269,592,925,230,015,
494,403,758,107,828,324,104,816,241,019,631,563,507,889,579,227,048,258,274,
828,375,574,964,477,537,898,999,822,760,618,196,037,400,320,199,142,036,518,
433,079,731,687,095,506,754,381,142,299,606,076,860,001,170,786,286,974,267,
294,757,679,473,914,645,478,199,598,552,840,648,443,196,897,360,400,107,295,
165,584,671,216,459,248,442,515,530,035,613,074,251,131,214,929,553,622,297,
427,342,761,831,079,187,070,141,543,346,827,006,747,927,418,725,314,018,673,
341,356,186,849,320,344,028,207,861,268,733,896,700,626,709,892,547,356,847,
830,970,998,005,468,126,662,901,359,638,826,322,529,127,515,910,708,179,128,
604,332,896,247,549,467,376,254,632,941,954,310,091,463,430,409,880,750,361,
756,834,705,332,042,928,443,584,590,142,159,013,372,923,119,864,416,113,982,
600,213,642,810,675,382,039,661,409,762,070,979,471,267,770,634,966,620,502,
693,370,373,256,611,034,339,201,387,226,972,461,757,585,497,001,399,259,246,
444,951,714,420,880,857,121,877,644,407,158,056,512,750,721,903,799,241,735,
664,809,561,450,241,237,469,641,376,821,428,663,804,165,937,344,944,373,193,
159,159,428,127,564,436,022,007,354,701,348,930,040,592,130,236,305,428,924,
468,620,708,057,887,455,855,434,983,604,751,687,897,890,870,293,218,719,700,
198,161,697,253,963,033,838,520,616,929,684,372,034,449,933,195,988,827,486,
441,440,250,959,869,119,246,483,896,658,788,544,715,026,908,463,033,775,124,
912,828,412,877,248,711,706,991,816,879,162,117,990,784,469,355,298,069,702,
431,990,950,686,447,256,053,267,292,078,801,927,592,993,233,093,781,103,988,
320,275,210,211,862,114,363,215,681,106,946,552,280,930,830,502,514,989,635,
266,837,741,980,516,154,641,624,585,350,138,743,703,969,066,314,977,670,855,
642,450,946,165,683,283,285,421,055,064,119,408,211,938,660,297,973,597,233,
601,543,360,543,014,189,391,594,686,646,195,332,783,665,482,250,526,855,253,
171,479,449,839,508,467,681,263,947,355,979,430,984,681,082,300,176,181,423,
603,310,380,124,536,144,222,987,091,364,313,395,482,102,172,803,963,785,524,
801,387,664,794,028,901,996,178,648,695,558,051,073,004,204,262,705,620,141,
588,628,612,897,664,334,541,547,072,865,683,567,176,681,963,884,912,415,770,
440,708,231,382,671,659,365,915,229,193,971,106,990,875,378,925,740,828,836,
761,099,604,267,759,967,249,975,053,716,222,169,466,770,072,445,615,717,199,
293,596,431,829,781,775,202,933,826,267,188,734,423,754,830,937,065,114,932,
118,864,221,308,873,117,232,440,888,219,566,856,139,877,929,027,783,062,067,
981,140,467,123,559,306,069,455,658,813,723,345,388,119,657,570,506,454,429,
760,114,255,874,979,885,227,660,455,894,939,200,129,570,415,840,455,276,552,
664,468,684,813,365,550,416,563,763,193,576,850,825,372,731,596,015,604,760,
254,622,110,299,241,154,588,518,561,503,685,064,827,249,433,140,187,868,258,
758,183,498,646,970,854,441,498,512,451,196,748,995,756,907,557,077,576,234,
183,447,826,451,354,235,729,013,409,996,839,908,341,946,738,076,671,591,025,
550,931,241,025,967,585,909,834,995,763,541,154,626,111,914,173,007,365,871,
864,051,126,344,175,563,781,605,530,447,297,988,120,262,244,314,532,747,957,
935,798,921,294,521,373,137,005,709,316,913,607,332,294,732,159,042,770,302,
989,595,201,405,726,907,384,161,799,482,399,127,358,629,873,207,472,381,456,
306,926,233,128,379,363,766,133,528,220,591,644,787,333,482,346,462,589,538,
711,747,926,288,239,375,574,617,650,375,893,562,164,298,556,977,405,633,631,
096,748,153,762,544,346,456,086,064,010,050,507,991,207,634,184,979,931,098,
272,298,881,506,737,632,422,936,696,273,631,480,020,796,782,160,608,838,284,
102,381,333,889,953,087,444,819,387,043,380,804,187,769,144,113,734,676,851,
188,832,442,756,850,399,747,246,547,969,366,096,905,039,389,203,596,896,777,
588,470,892,907,152,046,833,121,096,288,036,039,987,745,755,505,492,153,215,
997,914,358,813,692,247,669,784,667,295,794,551,202,743,512,399,835,454,439,
400,332,108,942,480,263,644,053,659,846,931,062,054,827,729,289,937,618,552,
643,395,684,405,938,753,101,596,516,024,617,697,593,892,609,292,623,961,960,
224,409,395,785,713,117,246,581,578,895,806,551,951,976,456,135,753,611,783,
115,873,155,856,230,287,440,804,648,276,562,475,681,093,959,411,366,424,152,
084,190,334,109,393,220,002,449,816,372,599,836,944,345,886,717,405,955,266,
971,953,881,414,646,178,673,067,646,357,743,091,657,274,312,542,737,923,839,
039,293,831,970,995,091,331,984,250,224,569,532,834,382,306,676,105,054,241,
288,125,278,821,377,566,383,157,310,101,906,974,636,740,441,873,334,838,794,
760,598,615,764,142,633,159,836,865,036,058,806,064,289,576,472,504,665,649,
144,380,255,860,257,329,843,240,548,175,910,354,082,652,626,990,629,118,061,
262,700,166,693,317,216,312,139,509,956,306,284,557,219,537,543,092,134,989,
424,613,994,896,261,865,937,355,957,124,525,485,980,828,426,677,232,143,694,
049,864,596,182,514,369,318,779,806,586,982,692,430,479,090,651,866,677,260,
419,071,346,371,680,591,627,571,924,503,412,667,212,445,920,185,299,803,267,
527,217,552,495,377,117,274,780,388,463,512,214,912,021,924,351,644,905,476,
024,093,358,227,804,788,304,870,267,031,903,315,899,452,577,050,067,805,656,
880,751,195,370,863,452,274,379,381,606,424,858,056,372,943,324,190,612,476,
403,277,983,194,670,172,374,224,431,238,384,477,159,415,740,497,323,682,226,
281,362,855,705,952,798,142,493,597,019,761,144,113,406,309,920,801,243,319,
890,374,696,046,826,249,715,198,929,509,568,978,604,249,598,946,985,924,095,
453,982,560,716,576,465,058,211,404,829,354,651,411,296,912,653,308,375,171,
187,291,814,180,200,851,535,100,524,990,993,260,597,946,653,799,175,236,265,
318,243,312,679,022,465,133,808,386,921,488,671,033,283,724,069,035,971,840,
990,012,064,722,070,487,716,133,877,105,924,447,113,730,830,214,001,830,539,
093,667,252,325,677,367,773,954,703,224,301,734,919,710,343,314,095,218,623,
523,012,374,553,643,291,752,633,054,352,834,961,686,015,189,299,985,545,010,
869,149,157,935,169,610,994,804,437,104,402,369,202,363,586,173,496,504,206,
254,541,277,452,985,697,675,901,939,486,165,673,391,096,487,039,573,992,724,
695,354,741,634,891,971,244,838,379,610,955,230,963,686,710,839,883,014,380,
219,998,635,233,880,649,138,723,238,044,940,905,764,193,043,548,567,664,844,
847,878,461,369,513,882,491,036,291,436,007,585,996,722,544,473,628,262,199,
703,156,500,451,173,856,782,631,578,446,905,019,127,555,133,644,772,160,954,
241,431,805,998,479,068,936,022,283,343,089,263,850,161,131,392,522,860,390,
386,333,466,861,976,456,777,180,258,312,049,520,831,068,609,062,581,653,453,
470,056,535,221,607,620,948,587,434,934,141,735,230,227,521,540,793,939,836,
747,732,473,579,542,097,907,963,060,222,286,043,552,348,020,926,851,079,189,
913,977,095,396,072,736,102,704,018,582,879,526,034,119,630,202,274,966,105,
123,097,554,926,570,892,853,403,485,829,718,098,459,302,586,929,572,208,088,
619,423,066,762,692,467,297,721,178,316,590,705,074,053,496,886,360,708,411,
881,432,471,177,160,452,102,867,573,142,728,380,932,706,185,827,647,899,061,
415,758,433,811,764,745,540,269,492,361,890,892,438,753,757,177,084,013,420,
384,708,610,152,856,140,912,847,552,159,351,105,519,071,711,278,587,274,923,
777,418,057,526,201,922,357,131,691,476,909,403,678,169,465,153,766,944,576,
608,301,700,070,807,836,232,753,484,478,930,236,586,441,609,871,510,500,422,
533,522,534,926,311,674,088,541,039,787,347,962,767,066,334,420,089,517,873,
970,691,276,999,349,625,873,702,109,272,626,406,430,736,574,825,710,774,342,
468,519,347,499,092,146,180,766,286,905,515,376,467,734,321,776,669,499,361,
822,104,402,662,191,774,089,500,319,896,760,519,234,928,270,573,425,067,862,
669,437,835,380,036,290,658,113,168,984,868,188,448,786,321,333,420,169,723,
740,066,047,634,736,163,438,648,024,214,108,860,528,257,692,616,470,791,134,
912,589,418,682,315,629,931,425,131,575,795,953,984,426,055,574,234,141,685,
904,684,391,614,054,701,210,981,824,143,497,990,720,312,451,520,393,909,950,
744,699,948,924,018,485,879,890,308,620,784,274,840,215,000,826,546,847,382,
328,491,248,358,051,706,919,244,677,111,579,546,608,186,939,082,088,091,881,
436,472,041,677,673,397,782,240,603,988,013,081,168,051,659,211,531,159,849,
011,628,878,084,310,394,831,039,171,665,634,491,667,254,194,783,781,904,797,
389,172,192,542,695,977,158,534,957,453,974,701,951,513,311,685,928,767,978,
248,709,976,059,183,102,006,101,060,345,165,635,303,669,590,661,013,377,723,
320,788,188,729,713,206,954,701,137,526,687,431,314,290,416,688,433,665,392,
251,710,479,174,925,661,304,066,245,453,496,655,801,092,704,417,589,449,151,
711,267,081,666,919,712,212,129,901,556,753,289,989,243,126,358,483,073,075,
707,664,782,997,782,057,920,137,885,233,857,824,834,055,328,405,294,145,435,
943,744,745,095,366,341,704,846,590,960,556,455,606,582,051,496,488,018,339,
000,148,826,887,842,233,573,562,225,679,958,572,423,049,717,071,669,731,094,
144,069,269,875,523,542,907,566,313,526,991,231,913,565,099,836,822,253,165,
651,637,056,245,180,862,461,947,941,918,132,322,281,561,506,038,751,777,660,
890,454,881,753,929,785,083,704,061,582,602,778,259,284,266,711,911,450,141,
196,867,766,232,676,951,282,337,979,357,760,670,936,063,164,848,311,551,766,
353,913,523,320,456,155,816,490,382,735,487,924,174,017,879,504,255,543,431,
859,612,856,294,719,570,427,585,612,555,880,735,363,050,698,729,892,816,080,
541,100,047,208,335,033,659,098,375,002,380,935,893,301,150,813,406,634,566,
659,958,441,950,439,134,082,751,173,338,209,050,800,331,655,713,807,545,011,
730,235,077,463,236,335,764,990,374,793,510,327,700,172,072,765,283,991,637,
411,986,820,016,299,096,980,256,154,939,675,295,762,078,083,177,892,519,185,
249,518,745,205,526,196,843,219,701,929,408,912,330,421,426,942,009,196,115,
701,352,094,523,785,505,050,017,867,045,794,803,521,087,556,765,667,680,585,
365,127,536,211,148,830,470,241,756,088,987,779,041,588,896,285,973,648,694,
614,656,718,123,250,069,789,760,426,605,013,745,075,593,293,356,165,976,595,
231,284,964,070,108,128,746,154,006,721,303,184,331,358,405,178,452,973,202,
366,907,418,052,448,526,166,346,402,307,353,743,330,317,847,090,927,581,810,
974,836,048,787,699,836,500,210,459,118,166,930,807,601,446,792,518,375,140,
454,639,873,919,708,923,405,260,430,181,263,966,159,803,761,981,073,950,275,
407,580,880,172,774,686,008,681,940,042,491,533,223,865,191,311,628,840,646,
903,008,759,838,525,015,737,119,387,277,784,249,175,375,503,681,170,835,531,
171,401,014,480,092,496,502,731,440,652,258,432,100,200,289,389,415,621,373,
305,697,213,364,657,552,285,143,619,045,278,336,804,734,028,201,309,986,112,
656,593,143,507,853,627,297,966,909,826,400,075,794,836,615,261,952,588,417,
476,179,729,685,861,628,777,487,980,840,184,430,764,258,406,178,094,005,843,
196,709,796,332,780,911,457,375,593,897,870,656,612,785,920,358,338,454,508,
636,442,555,906,830,212,986,978,211,167,505,552,494,250,322,465,303,071,434,
869,761,973,107,517,401,452,254,437,044,556,013,767,531,610,328,994,951,350,
511,761,282,575,660,758,173,053,517,734,569,436,886,006,852,401,755,041,016,
225,511,041,074,855,239,811,479,403,196,486,146,059,763,742,320,595,416,104,
363,493,741,325,229,862,482,222,003,894,847,937,180,513,067,155,962,766,665,
004,237,850,315,223,473,673,231,727,624,857,125,521,397,117,829,693,660,059,
401,452,535,621,641,611,093,888,482,550,355,378,691,097,419,030,020,090,493,
710,249,412,265,036,453,293,739,402,625,689,139,354,611,983,349,270,032,447,
464,052,044,780,808,844,434,243,983,049,899,747,748,540,383,814,455,719,922,
770,940,465,331,593,167,574,145,190,414,023,728,751,888,068,121,833,596,154,
077,096,197,117,553,609,102,541,448,156,635,631,088,039,601,461,838,913,580,
225,190,662,627,422,632,108,121,902,553,704,867,948,285,574,849,714,395,563,
119,735,551,509,625,951,944,268,742,217,641,548,867,246,183,768,809,582,694,
911,444,329,961,601,041,120,709,105,916,805,899,072,012,581,872,990,086,401,
172,184,639,259,762,885,478,266,475,170,453,162,311,819,076,232,896,296,811,
171,175,765,614,095,021,886,845,859,353,711,166,092,464,840,787,573,938,213,
908,056,461,903,915,232,336,335,497,721,570,068,862,010,715,761,562,373,146,
352,149,376,932,347,619,489,842,465,121,219,952,113,594,461,871,073,451,053,
135,326,406,845,004,096,339,239,655,531,982,008,795,652,783,358,881,484,714,
357,745,889,350,583,256,163,130,580,767,243,186,625,976,567,044,646,148,703,
181,701,611,288,577,468,375,440,675,802,876,677,976,034,679,922,294,852,103,
338,566,230,600,790,795,967,642,344,827,386,954,547,825,513,215,674,101,740,
239,524,689,523,233,441,239,222,657,434,148,146,693,149,038,867,275,617,417,
370,367,278,273,913,990,932,522,354,265,836,423,306,015,467,722,812,272,709,
500,288,509,682,222,535,887,555,318,978,076,015,436,402,016,708,564,317,967,
753,945,037,393,151,557,458,786,687,728,126,555,666,932,012,706,945,149,375,
576,687,250,073,237,606,527,784,790,140,684,248,765,322,630,895,401,616,324,
529,716,331,043,450,389,998,654,151,741,694,200,561,339,308,310,310,212,368,
397,614,233,704,934,036,642,406,346,438,816,628,758,181,627,536,662,211,799,
530,578,848,082,369,098,753,965,220,000,722,046,818,255,097,179,414,844,767,
578,181,458,470,890,202,141,742,297,322,946,494,987,556,691,955,200,589,906,
370,371,285,006,390,598,034,603,912,799,861,706,114,074,967,894,310,209,446,
081,364,743,425,785,669,811,919,601,999,461,502,854,841,867,981,037,826,915,
820,679,792,420,851,785,723,495,427,044,799,613,655,830,213,789,165,015,042,
379,704,847,434,434,261,224,756,776,712,423,361,615,402,246,040,476,982,226,
757,577,434,468,819,903,393,139,110,644,499,116,324,328,070,208,785,742,788,
173,961,714,015,521,285,844,405,582,090,467,776,813,254,525,219,676,016,001,
393,900,508,335,008,167,131,156,853,785,138,327,024,117,175,760,473,162,272,
358,680,472,011,034,086,531,910,902,861,481,825,632,406,762,508,174,213,066,
560,580,777,974,668,626,614,100,351,239,215,760,608,696,416,566,906,353,807,
862,813,415,707,873,704,023,762,467,607,992,920,767,633,184,785,824,516,900,
545,388,159,670,194,420,142,211,681,000,543,889,573,328,259,169,854,807,950,
411,562,965,240,017,042,382,616,434,464,459,659,388,495,439,412,012,674,249,
779,617,913,873,953,580,306,328,041,828,249,471,056,852,931,436,960,539,682,
646,776,993,896,745,321,567,522,498,399,764,583,853,126,988,363,858,527,456,
242,108,737,392,281,895,083,501,879,106,033,485,167,252,421,061,263,893,643,
198,715,723,132,324,306,470,363,736,567,507,308,165,330,013,889,709,712,539,
440,424,549,794,541,366,643,029,929,808,263,870,395,653,374,337,600,041,480,
894,784,658,194,026,712,328,259,205,172,318,665,967,833,358,783,972,539,604,
436,805,912,012,390,514,239,083,612,444,370,633,391,582,323,479,011,928,703,
764,084,344,355,497,348,803,399,182,054,520,237,489,887,605,361,875,302,434,
566,195,787,929,735,189,181,080,365,294,256,340,508,291,549,220,150,016,299,
122,192,735,019,815,006,414,487,134,970,656,440,543,434,988,320,042,064,493,
646,339,143,779,523,926,311,972,809,679,767,913,380,314,389,442,032,978,401,
985,579,383,717,458,562,962,551,449,666,914,457,824,318,692,662,518,573,451,
381,011,223,579,461,762,908,432,545,345,488,290,817,938,849,895,204,447,862,
939,715,606,610,862,642,826,236,314,131,664,157,991,359,517,645,245,745,422,
326,054,896,445,164,270,950,431,384,488,669,066,490,953,792,064,971,336,196,
135,619,706,492,141,942,358,364,896,574,606,005,206,151,174,993,692,753,271,
839,027,595,508,282,441,904,902,544,870,749,422,670,316,156,578,519,596,574,
106,722,001,930,378,475,384,253,807,417,436,679,539,114,031,986,252,775,219,
964,229,854,859,750,982,554,413,160,240,802,844,088,057,480,878,824,921,071,
452,808,764,361,527,833,858,273,088,718,937,952,216,896,744,827,702,031,081,
032,367,520,052,367,612,965,969,781,518,407,509,690,473,881,107,276,885,847,
037,949,995,908,826,340,487,619,388,108,326,436,815,837,459,434,891,850,447,
984,197,143,433,350,309,052,375,190,111,769,165,676,664,478,099,441,010,458,
603,702,576,474,440,183,389,993,613,920,663,194,139,131,561,887,383,920,162,
999,716,770,507,530,544,058,538,250,318,854,837,187,477,238,574,239,643,309,
243,913,214,215,405,135,027,540,907,125,515,341,045,817,004,504,685,691,512,
339,103,697,624,931,424,336,139,205,181,840,437,301,955,925,179,113,296,633,
877,696,379,172,902,362,200,132,942,283,136,974,328,094,173,258,148,670,213,
986,044,442,576,518,115,926,090,064,971,446,288,275,893,749,528,775,417,099,
012,396,002,304,439,101,777,104,743,629,605,767,781,605,297,624,218,180,485,
730,804,087,829,649,055,694,261,363,126,514,795,060,784,197,155,828,632,907,
213,196,860,348,900,676,625,902,715,432,172,456,517,991,573,607,079,567,934,
740,718,089,327,516,358,341,969,725,298,321,374,945,899,224,507,339,182,518,
422,019,946,560,479,165,558,559,780,358,805,045,635,759,648,505,058,516,710,
138,832,278,096,032,154,542,370,357,791,825,037,403,349,502,868,605,720,001,
355,234,343,443,808,533,023,933,965,828,951,407,273,671,407,799,762,318,807,
568,484,355,526,972,712,749,336,175,199,720,656,295,609,752,286,938,462,514,
460,461,987,827,352,554,067,079,948,531,980,976,959,815,217,169,692,537,326,
542,873,255,227,725,864,977,404,799,106,050,599,763,484,041,030,260,543,843,
418,591,893,799,954,425,474,811,439,098,637,343,290,665,127,380,698,940,094,
701,737,322,646,159,923,623,775,830,967,847,225,797,051,477,230,420,269,210,
649,456,599,953,815,521,971,778,514,341,843,399,283,716,083,783,736,664,290,
979,803,490,720,385,449,406,564,275,016,607,045,958,177,971,407,992,677,712,
959,123,736,656,532,073,987,309,489,939,171,390,499,435,013,460,395,972,816,
603,370,627,100,823,428,186,717,632,232,898,943,667,020,630,909,388,479,815,
170,855,921,040,139,633,058,038,248,073,563,197,262,925,093,138,167,787,045,
364,245,152,032,748,146,593,478,661,151,804,281,902,195,989,589,266,334,120,
283,012,140,973,265,375,711,754,494,233,774,838,304,180,002,116,533,347,164,
064,300,567,146,726,997,020,562,953,776,424,999,266,879,768,889,595,515,512,
899,610,114,495,924,716,578,991,599,517,594,197,852,533,874,738,321,139,594,
576,073,188,617,858,870,843,542,723,584,459,647,493,504,393,537,064,859,444,
844,605,813,091,227,366,159,447,792,263,610,307,459,837,134,327,178,606,418,
484,233,122,168,435,136,159,639,196,789,616,023,373,635,587,355,080,903,570,
069,236,556,461,745,178,521,211,752,034,568,511,811,001,143,078,280,117,531,
531,793,388,435,422,836,204,723,259,542,558,926,184,342,082,836,586,386,565,
629,124,103,603,505,566,845,374,152,500,888,578,720,424,362,814,529,741,034,
952,385,837,943,201,378,803,118,107,121,689,280,217,256,058,736,206,158,988,
751,640,005,493,734,126,659,012,290,868,496,852,171,336,784,294,757,766,168,
837,276,824,400,767,349,026,566,306,837,301,121,819,241,655,612,344,056,451,
626,693,588,350,036,508,796,588,105,738,608,350,470,145,215,644,990,223,579,
643,382,919,861,352,540,102,556,953,832,186,045,047,016,050,656,726,740,895,
693,070,241,128,749,645,238,185,974,074,913,278,984,953,244,186,200,067,112,
177,877,361,110,037,313,615,500,680,521,377,305,778,856,202,616,954,307,677,
629,595,661,997,889,935,705,898,947,832,063,968,981,298,132,043,936,544,096,
429,777,289,704,374,063,469,979,233,026,869,218,792,742,238,183,846,373,049,
512,879,727,127,768,205,131,024,648,558,092,451,433,307,409,620,383,483,652,
917,563,404,390,543,397,711,765,036,186,468,423,429,488,322,622,990,555,273,
403,188,118,956,879,299,091,465,947,784,837,711,776,390,529,704,070,634,045,
858,789,439,570,368,134,244,811,332,305,870,945,785,544,364,720,875,921,145,
575,639,157,144,408,137,547,540,811,371,317,861,822,481,257,264,507,153,729,
419,750,122,447,444,852,020,774,499,350,320,738,041,542,861,945,172,983,116,
103,916,374,886,039,178,768,927,131,662,731,303,497,227,479,767,160,220,646,
827,913,971,236,629,706,102,696,458,477,982,986,066,298,835,382,065,623,622,
159,354,402,117,562,993,861,614,092,343,682,912,314,847,389,578,529,214,978,
818,927,731,960,200,775,866,442,757,338,452,490,516,210,074,062,408,356,988,
833,576,888,033,667,611,799,891,256,567,398,771,546,231,466,807,746,504,131,
014,903,352,630,257,564,640,830,943,835,862,156,055,652,791,493,521,790,437,
981,162,963,410,760,313,410,503,668,111,857,821,153,719,020,548,323,443,687,
833,868,913,000,649,016,099,732,997,233,724,149,061,372,122,851,109,481,001,
598,247,623,745,698,918,207,997,076,017,127,881,584,632,283,229,509,747,650,
940,600,908,504,551,263,419,728,847,947,327,335,746,744,304,206,316,678,058,
111,713,907,398,276,121,855,216,997,048,574,630,311,790,317,708,195,930,150,
880,531,946,755,389,527,565,552,955,837,398,345,371,756,189,182,963,954,898,
444,138,553,147,778,203,060,823,700,131,499,700,440,563,182,067,182,659,839,
429,347,357,104,174,793,700,833,469,517,379,899,771,644,656,142,983,073,745,
134,075,629,047,121,813,271,341,689,960,127,641,860,317,858,955,697,944,576,
925,606,179,643,965,728,569,809,615,350,829,949,347,660,838,570,376,613,054,
411,025,135,686,254,265,959,726,663,433,184,759,186,512,649,813,424,261,484,
596,826,908,609,514,429,424,567,585,200,244,879,354,649,203,098,985,327,339,
217,875,157,429,857,057,299,846,235,758,184,400,366,990,655,405,958,130,354,
130,027,668,029,786,371,739,622,860,406,144,147,635,394,949,216,578,402,952,
966,127,985,054,686,551,973,235,842,944,105,352,999,202,419,185,619,716,104,
682,576,729,214,838,753,265,185,822,149,354,943,670,107,697,910,036,484,107,
321,599,394,937,247,651,419,648,637,471,738,023,412,978,794,833,480,292,588,
416,538,919,546,519,668,819,083,919,754,965,927,670,196,279,997,554,122,937,
263,449,929,306,723,338,025,896,511,786,315,199,035,627,386,636,374,253,421,
164,924,493,134,772,272,398,007,059,714,092,371,549,636,963,140,727,880,737,
435,158,689,472,192,649,222,669,303,289,376,069,548,898,620,647,285,126,860,
638,960,801,512,376,948,147,513,250,199,043,111,304,308,466,364,497,318,845,
241,869,043,348,207,247,623,624,668,849,733,765,360,289,266,365,310,999,240,
773,950,196,251,511,567,517,553,180,235,454,687,714,405,454,158,781,470,281,
669,896,710,433,452,874,918,307,577,568,016,618,498,097,850,973,813,393,448,
776,889,094,460,789,512,224,421,480,897,138,637,090,860,505,567,116,485,972,
487,984,763,468,716,432,716,858,732,232,692,564,376,796,502,730,004,465,886,
564,894,750,343,448,063,126,430,359,620,730,002,629,834,554,434,209,161,023,
056,773,541,033,734,291,697,679,613,589,510,862,860,160,436,916,878,131,058,
674,487,669,632,733,298,666,098,642,858,521,039,290,896,677,429,833,116,634,
638,830,013,026,290,046,901,194,166,985,269,986,510,481,863,188,569,041,684,
898,126,380,201,575,923,438,703,424,702,212,945,648,860,946,848,668,144,859,
359,132,792,123,551,090,042,934,020,873,147,356,561,094,156,564,333,285,247,
442,001,607,480,863,247,814,214,333,593,996,038,042,060,986,179,305,404,676,
854,274,042,117,644,570,637,025,648,863,332,018,467,337,762,129,523,121,676,
311,517,463,847,899,311,583,421,898,992,116,226,676,451,369,017,825,268,662,
531,693,318,481,172,611,881,924,951,371,711,646,163,846,191,022,462,293,512,
480,478,372,847,859,627,007,083,260,193,852,960,096,526,462,049,782,820,070,
067,506,780,598,846,180,244,298,684,372,415,839,381,926,122,295,838,506,093,
890,939,476,179,922,389,171,844,477,139,628,444,362,452,939,252,903,805,572,
176,699,021,538,619,553,734,752,449,307,761,773,285,899,606,375,565,528,041,
636,254,944,211,455,704,222,430,772,654,281,958,449,361,376,463,572,079,403,
832,836,733,255,959,049,942,277,046,970,106,408,725,663,162,015,205,770,510,
270,995,009,176,827,690,432,659,588,286,617,487,323,682,299,062,926,391,454,
367,465,270,493,421,705,930,607,053,392,674,864,731,256,021,710,719,831,973,
376,506,822,152,211,216,994,896,854,297,461,261,591,544,075,478,963,007,162,
756,753,613,067,076,077,954,606,068,925,540,850,592,144,048,429,135,461,476,
073,240,638,658,742,208,884,951,602,749,309,566,329,729,393,889,309,060,966,
696,490,626,810,579,568,705,452,719,932,415,537,954,972,403,168,390,709,473,
611,092,761,164,307,119,797,800,295,959,283,210,883,201,117,545,002,673,341,
988,799,707,813,911,122,272,822,148,223,026,541,589,897,625,627,779,406,763,
673,898,960,472,695,101,536,847,355,465,209,180,350,588,521,109,315,717,333,
380,902,151,493,195,411,318,870,320,748,386,479,362,811,952,778,913,744,060,
840,970,183,043,086,542,106,904,220,775,175,958,508,963,770,720,970,049,297,
029,041,032,940,028,629,799,905,379,253,523,012,511,420,159,970,662,669,177,
619,298,388,471,867,128,020,520,249,163,551,227,869,249,761,909,997,963,254,
122,317,566,741,328,435,632,793,397,377,858,102,360,333,670,322,952,187,526,
157,389,248,119,342,966,263,316,177,762,982,193,216,119,512,642,297,528,372,
554,633,277,473,642,717,641,131,172,045,981,464,716,204,034,284,626,053,302,
033,743,316,032,601,891,796,586,858,881,067,069,189,243,375,496,306,572,562,
656,916,942,310,020,726,688,982,198,918,121,084,496,106,002,252,003,880,329,
307,101,129,847,207,143,906,817,061,489,441,009,969,961,487,878,249,637,735,
376,802,357,688,930,369,784,837,106,333,597,178,643,436,206,279,190,075,341,
363,900,336,671,708,608,226,587,133,768,711,776,122,373,254,206,684,910,574,
481,097,636,846,554,221,685,834,059,423,855,797,614,470,058,768,283,416,800,
492,608,567,214,406,312,552,114,396,778,233,824,251,133,656,413,443,930,300,
836,953,792,494,825,158,157,870,080,122,202,698,184,845,182,651,266,244,571,
792,055,759,248,990,152,105,356,883,936,725,302,075,560,096,073,540,214,832,
307,465,869,920,312,421,917,586,050,832,365,643,677,490,041,085,454,972,810,
880,525,468,834,745,046,348,526,571,691,082,010,772,548,725,312,078,059,139,
659,195,636,055,157,231,387,764,652,182,457,016,547,472,315,719,825,252,841,
590,849,868,007,262,708,659,364,623,547,771,514,888,241,040,533,094,178,573,
969,945,727,119,123,100,925,950,483,647,218,631,014,618,494,005,293,168,888,
876,134,687,361,152,294,210,507,986,735,053,376,199,058,948,605,260,476,968,
085,557,644,004,892,749,847,467,940,424,099,696,259,594,375,095,254,280,793,
498,804,558,666,245,320,030,963,643,663,613,637,351,454,801,029,052,225,540,
051,470,267,058,865,145,511,874,758,344,198,017,736,323,711,838,954,356,899,
456,074,513,462,097,013,145,781,265,803,034,100,654,445,448,895,127,134,498,
962,832,305,108,551,998,393,888,817,451,114,975,125,450,039,153,363,597,399,
647,159,200,302,056,150,953,282,830,034,216,090,926,354,716,373,675,185,716,
627,330,802,497,455,460,872,003,003,556,832,049,334,575,869,137,832,176,125,
981,849,381,650,113,708,128,181,427,639,832,874,374,419,194,437,789,503,183,
845,221,862,746,542,570,968,014,280,837,996,555,142,805,096,546,944,457,622,
345,845,494,942,387,881,459,199,630,877,058,686,836,076,166,716,044,948,219,
794,089,559,983,534,475,832,072,565,750,835,652,909,619,302,349,640,093,508,
977,054,517,949,176,571,223,278,381,966,116,413,285,193,581,981,078,421,136,
302,205,997,177,586,904,883,206,485,322,681,166,345,908,841,534,102,293,994,
059,884,742,729,223,713,910,628,286,879,476,392,301,044,281,988,250,970,609,
142,720,257,311,292,577,925,905,416,571,089,905,223,988,219,254,079,119,481,
373,057,270,164,291,001,725,690,750,223,273,647,094,233,339,694,824,014,747,
951,742,685,882,920,600,553,954,133,789,146,351,200,829,565,047,122,945,150,
397,881,362,226,002,076,574,829,950,642,117,645,235,082,278,305,282,524,959,
297,263,658,633,466,316,703,874,119,890,245,661,875,887,834,369,386,236,168,
330,017,006,700,268,303,007,288,331,579,785,025,305,832,612,649,882,449,673,
532,610,676,616,194,844,865,435,070,056,077,201,803,926,094,234,340,695,629,
388,322,817,382,932,690,821,300,805,802,668,704,467,064,952,146,803,493,580,
326,856,887,361,947,084,985,633,993,460,721,058,469,212,021,902,394,712,419,
164,539,457,410,456,968,090,444,172,834,767,355,556,302,479,640,269,972,203,
319,206,250,092,186,982,853,245,284,045,162,187,906,856,017,333,972,308,418,
122,864,225,143,719,417,459,478,765,916,831,773,708,925,439,593,587,274,836,
965,150,512,289,531,804,333,036,756,444,643,793,890,977,530,311,631,990,670,
090,966,893,540,511,828,139,645,445,961,435,881,215,442,750,833,174,959,316,
728,920,626,198,709,825,417,318,730,006,924,466,863,602,581,315,606,253,488,
282,091,887,877,152,270,236,367,775,697,549,379,119,013,115,994,662,143,351,
018,202,766,028,049,866,576,853,406,075,671,453,823,577,360,961,967,087,107,
911,418,860,969,784,906,067,478,975,328,634,631,078,936,246,733,888,061,742,
806,758,960,807,392,930,095,893,327,942,358,647,233,820,599,934,244,640,700,
194,594,950,316,739,333,534,486,001,344,789,689,743,016,613,728,656,263,976,
054,058,934,946,353,444,077,307,331,098,614,877,350,501,622,031,881,686,340,
178,380,457,558,850,680,818,731,622,914,038,128,144,398,488,114,454,284,859,
055,749,875,848,652,281,436,349,816,831,827,155,094,917,638,972,294,517,914,
386,753,942,318,157,008,828,597,193,430,647,022,333,747,501,155,947,303,215,
245,645,844,809,783,426,780,110,136,593,934,796,180,419,003,818,726,480,020,
390,238,926,523,820,790,736,423,209,315,036,686,077,435,475,888,211,179,607,
402,411,764,000,404,661,033,683,541,081,949,091,750,456,241,848,738,390,590,
795,934,379,986,642,336,363,247,871,519,735,310,196,897,994,601,572,769,490,
026,718,159,051,870,187,479,478,177,131,981,060,646,617,164,738,818,240,859,
051,229,539,739,995,147,523,699,030,628,277,413,777,808,176,408,302,640,435,
095,565,712,484,107,399,117,133,121,070,480,354,639,177,524,587,175,603,038,
348,375,602,302,581,704,263,440,501,107,130,050,714,565,088,718,767,252,741,
373,827,183,609,746,450,124,667,363,563,087,468,348,032,436,453,549,682,509,
787,217,533,458,750,469,288,008,659,604,766,598,546,500,681,041,376,582,558,
408,348,951,816,668,763,120,678,085,785,019,559,754,873,922,892,469,919,844,
378,729,524,770,622,574,345,941,767,939,858,775,555,574,472,074,209,433,320,
655,429,449,576,878,477,003,485,842,956,258,037,834,597,780,140,833,418,990,
867,659,182,031,751,786,065,312,345,573,301,134,894,898,674,485,945,906,450,
758,453,952,646,078,291,956,259,218,023,663,615,420,214,939,344,735,727,575,
353,530,046,559,643,273,285,296,176,800,202,664,946,979,214,607,279,321,810,
564,311,154,412,580,372,482,517,793,053,529,951,274,234,367,222,098,849,679,
185,799,129,630,112,489,696,002,458,293,689,165,739,287,591,831,799,998,421,
015,429,688,878,183,924,871,363,932,311,967,538,934,991,610,719,131,628,064,
836,183,855,473,729,309,037,301,243,319,090,391,056,909,084,766,050,283,492,
199,290,551,316,886,900,788,256,395,841,144,404,737,406,777,748,986,659,518,
460,944,710,396,094,686,964,614,386,178,862,130,564,488,495,206,610,132,212,
503,236,730,597,169,134,589,986,843,043,795,973,301,865,835,891,020,990,142,
286,376,994,935,373,293,699,875,514,634,080,084,118,269,988,162,526,479,736,
004,622,280,353,470,217,528,808,115,144,179,071,458,365,651,358,621,734,334,
147,611,848,572,126,232,030,797,858,331,820,439,164,665,639,340,742,756,021,
586,758,232,602,389,947,995,916,950,087,503,078,792,415,089,331,916,852,218,
932,646,792,623,842,275,807,914,518,781,552,201,208,024,924,625,225,543,466,
581,219,112,257,145,224,539,285,566,788,576,891,689,124,279,284,825,365,739,
685,919,704,698,920,485,456,809,485,070,783,165,581,318,972,777,346,822,252,
774,768,978,591,008,405,916,716,054,152,043,844,036,823,457,163,557,810,477,
483,454,013,091,826,437,834,035,925,177,755,755,383,102,021,308,181,653,511,
790,727,708,615,041,300,853,903,967,374,814,042,389,478,284,784,844,952,925,
932,870,997,596,483,971,427,701,183,597,726,442,368,460,338,066,712,213,200,
567,841,366,258,614,886,406,777,198,535,323,395,249,761,197,757,856,630,294,
165,818,953,381,272,178,649,246,731,967,492,748,958,935,686,095,336,583,969,
446,088,173,968,975,268,857,683,337,831,096,244,310,693,216,483,695,598,390,
433,226,353,872,235,503,067,891,380,975,604,191,591,590,202,451,231,531,995,
820,446,511,560,128,017,890,643,665,673,418,451,816,565,589,512,804,847,638,
992,239,880,862,851,705,293,745,007,766,317,289,442,735,775,988,106,160,799,
001,623,094,998,553,395,031,744,402,281,194,887,347,828,078,228,295,972,123,
383,399,705,384,136,720,862,234,725,913,475,974,296,456,230,808,069,697,710,
753,751,927,757,674,218,536,218,004,768,320,370,984,819,620,833,480,588,062,
076,754,259,199,819,310,615,823,683,248,226,875,679,262,758,607,963,167,476,
347,408,842,297,238,895,886,278,414,730,931,114,658,944,249,644,904,545,657,
270,644,033,598,992,927,954,067,901,444,541,560,256,713,722,239,101,939,145,
392,763,597,170,023,964,697,353,459,019,201,642,195,930,233,809,110,025,053,
413,687,906,123,379,401,699,494,023,944,327,736,376,832,288,820,174,895,218,
211,071,497,293,271,621,936,015,380,644,687,133,315,644,836,564,876,738,592,
203,203,495,062,651,871,652,519,294,822,508,388,398,973,419,214,714,633,358,
402,337,978,247,510,851,273,317,865,089,598,212,413,344,996,571,325,151,570,
037,952,919,813,853,184,997,021,229,421,373,786,660,702,281,053,681,715,366,
560,261,908,465,264,781,725,677,727,142,239,078,443,702,203,705,849,662,252,
655,816,324,570,764,409,926,763,639,579,331,371,977,565,104,891,658,514,636,
897,940,480,614,924,258,238,373,029,180,986,750,953,997,409,550,829,678,255,
576,555,884,117,344,679,635,003,310,718,613,662,531,198,078,202,457,966,363,
676,404,437,227,861,829,420,008,068,890,897,913,296,206,669,996,433,028,993,
008,644,740,872,779,087,727,823,636,199,896,030,880,420,101,053,101,926,913,
274,923,599,437,033,862,005,465,982,748,381,300,984,930,037,348,242,800,606,
406,396,071,694,939,450,721,005,243,253,298,169,500,206,979,060,519,951,562,
443,860,393,058,158,656,433,279,843,138,431,811,857,151,544,850,615,185,680,
161,953,050,869,426,585,832,562,915,872,456,362,848,831,280,953,023,484,937,
543,902,684,050,098,802,086,189,122,153,168,569,867,583,906,209,503,498,478,
605,718,094,649,533,987,517,317,716,202,093,251,361,856,343,925,737,543,103,
072,650,023,958,658,170,583,288,406,177,441,150,697,782,331,354,144,372,046,
201,712,842,695,507,897,773,505,448,338,273,438,484,499,168,342,889,392,502,
740,681,444,899,413,957,248,393,167,496,719,384,403,742,046,132,609,042,127,
549,722,536,322,097,125,978,873,661,713,714,538,056,197,062,716,738,544,129,
036,245,405,140,900,944,345,731,027,007,213,824,705,144,239,628,214,346,895,
163,441,670,129,199,176,784,697,212,875,784,143,079,913,987,019,686,247,546,
626,768,459,543,176,173,872,114,034,939,981,070,544,238,524,622,045,085,733,
308,887,372,493,344,390,529,701,699,491,951,942,941,418,996,410,210,164,215,
738,093,754,697,367,839,588,677,521,165,205,735,021,782,141,205,834,261,157,
187,490,934,970,311,702,264,981,836,564,461,769,451,013,684,642,314,994,435,
071,429,516,391,720,255,725,215,392,442,182,806,064,590,189,695,393,645,693,
586,573,440,156,027,602,391,602,260,938,379,745,881,066,483,396,802,723,431,
709,901,121,351,747,266,113,748,950,113,432,380,182,342,693,257,264,774,046,
958,132,094,899,694,565,988,663,371,046,728,558,491,465,162,123,918,403,586,
566,728,514,592,594,514,484,163,388,672,569,279,336,973,105,204,880,988,080,
937,212,259,263,603,883,630,800,178,477,842,787,433,387,656,229,128,757,813,
031,084,113,538,055,628,887,117,311,323,569,145,985,646,728,997,946,235,372,
273,847,544,220,498,743,041,361,695,316,523,351,146,734,219,436,492,592,797,
936,890,053,185,799,086,807,507,229,631,160,609,513,281,218,072,906,460,594,
168,364,766,047,666,712,671,927,864,690,316,958,937,925,166,886,086,909,579,
697,827,172,036,210,381,093,388,448,953,271,498,562,603,858,019,087,180,289,
366,894,400,008,916,674,274,963,213,338,252,382,912,554,411,622,937,215,175,
319,249,342,380,032,329,371,838,199,389,832,874,118,336,930,350,448,463,200,
954,981,407,313,447,725,777,860,813,663,757,541,487,611,657,866,954,582,878,
734,060,188,051,218,319,954,385,966,020,038,123,734,952,278,576,195,402,712,
792,921,429,000,314,981,514,898,154,129,486,055,144,066,458,338,092,705,019,
562,614,514,302,933,184,352,364,698,223,382,570,100,656,496,527,141,638,213,
220,657,881,546,442,467,521,481,746,171,017,130,143,524,967,242,296,055,739,
360,327,920,661,896,870,228,880,555,515,172,415,387,545,652,064,954,846,169,
246,213,621,221,597,100,198,277,654,924,129,475,412,022,076,588,054,590,916,
801,688,963,715,892,739,500,726,758,161,978,052,826,611,658,791,569,935,356,
472,888,733,787,553,516,960,667,984,550,585,712,950,006,880,064,117,288,059,
151,225,867,785,273,199,881,602,483,992,635,119,077,091,439,175,189,402,182,
115,848,921,124,823,818,938,712,093,074,511,485,610,471,477,942,066,570,005,
961,417,365,670,554,088,640,960,195,973,516,442,445,519,430,166,276,753,777,
816,599,033,298,208,661,805,306,038,900,040,111,515,744,949,181,651,275,317,
529,001,470,634,278,397,505,786,215,106,120,249,088,328,263,705,002,716,781,
352,517,774,604,460,919,952,023,145,462,810,028,458,310,580,515,791,902,035,
711,129,571,833,886,432,129,413,608,827,838,992,786,199,956,974,029,911,932,
925,854,788,974,825,937,316,226,692,377,674,894,420,262,602,734,848,076,459,
811,775,359,778,929,332,868,288,926,021,191,828,408,203,248,719,853,778,998,
963,646,335,116,017,520,836,294,897,264,616,020,073,377,572,040,404,620,073,
732,879,447,355,354,161,163,308,072,082,053,540,649,584,859,821,726,842,600,
480,492,989,603,758,270,710,076,364,533,214,143,428,232,086,969,851,344,438,
218,610,743,540,946,243,005,457,940,537,519,466,611,088,939,776,381,163,733,
750,750,627,890,714,129,166,024,221,400,116,158,502,678,111,737,670,717,779,
237,017,588,589,076,510,474,248,513,989,349,327,762,995,241,511,714,858,085,
510,233,941,901,358,544,828,273,536,835,758,055,001,011,673,225,248,862,395,
674,693,259,089,244,757,437,121,178,357,391,712,200,228,355,772,602,810,850,
363,501,639,993,278,009,533,934,708,034,869,572,822,426,692,986,441,959,775,
975,942,368,433,730,620,236,814,727,275,028,478,441,506,894,280,377,521,064,
926,211,206,304,574,792,652,178,953,055,559,916,884,065,602,104,593,856,355,
132,406,183,490,953,505,124,658,585,249,492,008,524,800,520,152,443,711,010,
155,670,697,197,635,688,425,503,033,044,219,649,146,498,886,210,850,637,145,
558,504,609,483,293,042,794,449,754,887,853,485,044,703,614,876,011,940,577,
600,146,805,440,863,830,964,211,406,872,213,301,060,149,879,934,053,710,090,
765,301,472,452,576,806,250,151,425,261,426,433,757,036,994,785,397,531,439,
033,888,733,746,052,214,096,960,451,338,599,976,705,197,546,417,314,226,213,
483,213,600,372,771,086,802,187,522,383,952,993,561,106,530,440,002,594,514,
530,669,645,262,536,519,589,609,814,051,475,350,764,944,789,530,568,106,468,
600,211,033,240,649,935,927,266,653,524,212,624,211,760,452,089,301,759,620,
316,309,809,175,769,184,151,786,412,287,288,963,761,774,290,487,868,918,401,
262,764,499,393,338,905,460,283,130,868,717,016,272,443,704,618,554,051,870,
681,763,278,874,911,065,417,086,377,491,727,542,861,994,037,021,845,976,251,
214,381,185,523,493,079,689,369,382,576,105,822,986,389,053,991,150,589,852,
193,553,514,699,941,758,439,004,604,818,549,682,767,823,629,314,592,261,092,
434,309,534,701,387,096,812,960,442,871,976,474,688,706,688,707,940,681,768,
004,660,387,694,633,200,155,727,302,296,714,809,662,406,887,771,182,186,466,
271,195,218,862,271,304,888,959,260,408,204,777,578,859,444,998,686,650,214,
317,030,057,023,723,679,128,493,192,365,382,415,086,712,408,369,020,257,111,
930,083,163,656,041,093,926,715,304,196,051,827,811,021,002,841,644,017,061,
774,505,940,168,609,938,892,044,984,305,751,459,436,918,068,701,345,510,552,
231,406,283,900,530,929,497,496,875,634,345,244,153,400,946,793,555,070,206,
657,187,109,788,108,067,524,039,795,840,242,978,794,443,820,373,814,255,787,
647,738,263,966,512,351,304,573,609,741,428,297,643,576,233,547,777,183,284,
420,492,838,125,218,596,051,795,991,058,208,042,721,468,559,511,944,961,311,
814,108,316,431,919,243,979,871,788,785,819,041,536,797,900,253,834,144,280,
440,873,699,668,730,330,109,890,036,105,932,624,667,851,456,879,065,447,191,
905,643,438,330,204,693,895,928,330,285,069,177,326,858,502,414,428,770,619,
846,979,466,109,831,662,355,968,594,595,330,779,367,171,597,245,882,851,074,
180,985,322,075,234,043,274,678,640,473,117,682,148,599,351,958,098,039,578,
440,061,058,532,619,369,112,776,558,785,457,659,977,110,553,918,732,563,483,
214,345,197,086,466,301,298,016,473,844,872,240,377,659,991,133,101,232,459,
046,988,666,300,722,015,612,877,542,339,594,115,471,313,560,712,637,520,570,
997,220,561,450,139,391,512,516,032,100,500,672,508,936,465,561,797,615,570,
261,545,095,742,740,394,894,811,029,083,122,786,476,199,864,154,167,271,231,
373,792,005,215,531,619,853,917,752,710,634,044,737,747,488,597,615,644,504,
073,207,426,665,590,868,341,441,556,249,718,438,708,083,895,314,194,728,901,
419,056,867,493,874,535,099,749,633,576,382,692,765,919,822,899,683,556,469,
902,006,103,500,806,937,263,250,584,284,663,870,051,056,992,091,764,691,368,
951,945,797,339,703,641,737,715,860,378,956,420,567,894,929,732,250,246,782,
307,795,576,027,308,875,999,673,861,540,147,803,852,345,183,187,532,287,843,
575,856,563,545,367,250,625,544,537,773,826,699,890,878,410,507,330,815,277,
449,332,381,832,974,976,868,008,728,306,194,390,657,522,634,608,240,640,967,
889,859,084,486,568,221,816,912,190,525,832,942,764,268,120,422,870,629,263,
554,743,777,876,524,543,866,527,838,261,724,396,655,479,541,930,653,973,352,
641,848,099,236,383,504,042,853,566,731,560,083,865,445,827,867,277,808,763,
091,804,404,042,982,822,211,657,393,185,891,039,574,203,965,934,099,007,975,
840,905,390,730,261,046,478,418,510,909,956,398,563,261,925,085,958,241,773,
083,696,556,284,122,900,961,809,780,985,328,895,254,224,701,279,025,126,560,
759,354,387,541,391,753,501,498,912,939,327,418,491,889,441,655,289,997,400,
712,079,374,051,789,758,121,963,198,726,396,420,785,810,553,117,347,642,493,
260,244,313,652,094,298,895,583,052,622,552,314,778,707,183,028,459,666,731,
306,201,790,964,139,611,316,678,147,659,655,130,850,662,163,916,767,176,782,
735,459,965,804,879,391,465,091,535,673,953,188,952,027,164,653,839,348,023,
951,872,249,984,292,257,073,287,408,909,101,374,846,746,271,922,556,163,805,
198,318,356,223,796,756,526,797,544,392,655,295,598,469,488,997,165,245,094,
384,737,880,578,172,902,411,047,606,505,321,470,142,023,498,777,563,184,296,
715,641,048,471,429,711,849,670,116,997,933,025,831,160,273,719,374,605,991,
722,767,367,827,566,993,303,579,086,041,481,627,754,118,194,163,648,862,378,
836,346,578,748,523,086,020,564,816,431,092,557,046,465,968,302,002,408,719,
223,645,386,494,578,731,165,022,891,535,656,830,560,271,315,228,847,596,267,
880,870,951,731,819,719,116,946,922,997,813,767,885,631,589,199,842,203,101,
653,683,920,525,812,458,343,301,862,973,747,684,308,334,412,378,684,981,037,
549,431,255,106,345,063,759,852,645,588,641,644,944,297,625,826,415,311,774,
767,401,392,776,756,211,755,469,891,217,885,407,629,482,694,658,212,285,673,
957,536,995,658,127,113,538,843,721,273,011,511,060,606,283,813,191,107,510,
388,812,300,180,492,823,669,276,810,023,981,325,100,360,075,818,794,893,779,
986,221,075,723,956,668,569,431,660,301,481,512,447,422,744,073,649,542,307,
627,213,309,392,717,909,898,317,291,066,399,868,519,159,072,447,224,539,155,
277,690,737,162,007,328,252,295,449,342,156,098,112,782,026,830,005,263,364,
457,275,751,507,599,554,438,573,138,946,124,021,183,803,717,253,326,460,994,
152,582,441,499,838,124,439,272,364,740,701,450,678,967,883,053,484,236,700,
958,065,541,072,916,449,787,473,152,915,661,609,529,732,509,401,095,266,765,
489,816,785,070,768,868,728,356,124,233,956,145,221,317,539,853,515,259,976,
193,773,840,014,666,641,297,121,587,787,654,054,931,059,555,696,200,017,211,
650,444,792,756,985,230,574,768,860,162,312,860,033,884,670,540,047,246,838,
298,723,116,833,119,232,235,433,191,824,172,567,018,310,570,676,467,863,682,
485,781,745,381,038,721,569,288,323,014,133,490,128,944,881,029,199,475,529,
132,210,858,806,218,657,508,627,489,452,586,744,823,522,836,028,591,403,500,
589,945,860,461,264,602,555,310,197,470,756,146,322,571,624,023,244,661,817,
494,515,070,563,077,401,300,058,243,730,028,209,946,461,955,197,215,664,469,
186,042,675,834,098,196,773,944,174,863,904,456,035,600,783,119,678,002,681,
873,933,827,653,627,165,858,309,411,268,094,059,462,658,542,742,047,017,860,
768,518,520,471,091,014,580,268,918,406,460,915,442,201,477,281,986,690,657,
838,125,350,502,953,609,165,476,375,107,159,500,227,271,795,313,910,474,855,
692,707,713,792,056,810,426,324,806,485,061,562,488,632,821,775,565,883,538,
873,026,944,270,890,152,753,086,250,898,901,129,895,224,911,120,354,220,335,
128,343,233,059,863,753,292,545,221,030,644,144,594,155,616,847,576,627,116,
196,467,168,614,423,883,302,066,924,757,564,832,189,493,591,890,805,343,210,
209,448,277,977,621,743,267,780,886,646,674,727,465,762,987,878,296,018,546,
769,710,553,474,470,689,714,767,115,044,548,964,539,281,566,693,207,471,349,
612,935,112,735,980,722,422,019,226,104,047,552,025,122,942,939,551,893,626,
290,773,668,046,034,574,418,578,237,547,188,932,596,198,522,601,856,651,441,
353,545,282,297,392,164,312,170,233,730,295,554,253,238,490,929,755,498,932,
034,447,974,734,761,767,883,083,945,184,153,373,907,594,648,258,176,686,300,
597,698,085,755,477,791,463,503,701,194,888,535,397,195,597,760,387,501,718,
965,401,845,715,631,340,089,841,759,338,354,100,273,667,620,293,592,130,700,
669,741,876,558,536,159,880,703,673,155,494,635,033,426,531,376,337,477,998,
476,044,740,457,669,354,971,786,070,667,215,840,545,869,532,524,778,038,967,
219,888,478,516,596,269,377,469,692,692,658,872,524,790,869,892,546,935,324,
783,957,388,972,083,230,153,525,833,177,651,430,984,185,290,658,031,854,831,
783,414,179,398,646,807,954,614,027,230,051,155,200,756,141,701,107,433,013,
145,792,071,719,533,112,406,574,331,753,483,078,171,556,449,096,174,781,249,
033,503,951,666,448,853,565,222,469,560,375,990,930,766,969,957,140,313,839,
991,817,908,933,228,052,046,362,891,942,620,020,377,429,952,092,053,479,618,
834,793,860,708,459,873,416,879,902,677,030,715,140,325,808,634,005,568,286,
471,071,550,691,646,186,735,182,420,983,199,753,504,295,831,090,455,906,962,
268,346,984,031,682,144,280,698,478,880,100,363,935,179,514,219,626,225,296,
687,466,346,169,413,945,041,203,743,368,368,778,047,174,643,444,087,747,743,
617,158,988,420,032,381,622,699,078,987,107,515,391,229,896,664,849,390,337,
468,782,089,002,678,051,175,447,963,593,658,946,730,559,269,995,228,401,809,
671,588,668,695,055,920,141,012,478,337,603,812,440,047,850,966,733,209,362,
461,563,430,755,675,262,228,446,433,912,609,167,408,355,848,603,184,614,810,
259,723,957,434,325,580,314,903,838,452,275,960,070,267,261,553,225,183,981,
293,161,981,934,056,007,217,807,114,454,750,640,384,122,167,245,993,140,650,
452,692,118,730,682,981,865,180,295,668,961,930,301,250,708,723,241,443,212,
498,929,977,272,831,742,916,435,415,164,241,589,022,681,891,279,092,396,974,
798,849,055,567,429,401,507,597,913,834,787,907,939,220,107,533,548,845,152,
608,699,140,512,920,619,428,219,538,548,718,347,071,984,673,880,647,332,009,
706,954,822,460,180,395,476,407,377,289,929,110,398,664,339,996,045,544,789,
807,069,848,385,869,928,172,185,601,322,954,106,802,837,854,482,721,003,788,
802,655,487,029,374,566,263,927,730,834,405,952,950,887,897,476,010,341,467,
855,193,008,686,154,758,473,031,460,513,899,078,874,823,074,218,177,630,087,
651,600,659,844,195,117,693,228,237,200,180,733,594,059,993,431,247,044,092,
100,234,824,877,828,311,995,831,954,202,309,455,189,977,291,847,676,002,266,
119,989,393,219,940,393,090,919,588,049,351,643,912,019,239,334,093,648,259,
645,010,981,623,662,494,742,425,706,097,140,219,124,979,802,740,104,192,780,
439,427,531,807,732,295,148,680,381,259,933,744,072,250,964,856,569,170,394,
807,181,846,361,831,976,382,486,000,039,664,566,059,630,707,632,351,235,380,
604,567,861,635,368,003,167,875,554,027,009,638,882,621,763,728,321,339,243,
514,138,885,128,917,490,524,391,566,903,403,299,018,496,873,169,173,821,104,
104,734,428,471,702,878,000,981,178,958,271,228,446,899,711,320,137,424,129,
343,829,324,021,405,542,119,274,568,174,521,267,633,969,097,126,634,628,703,
048,743,216,960,416,278,724,338,993,772,452,317,827,943,470,437,296,385,119,
979,089,199,065,669,906,256,575,818,862,410,048,387,096,250,178,615,450,206,
582,009,778,643,268,395,434,774,585,282,969,049,255,544,596,142,025,025,157,
927,730,501,470,979,296,077,806,643,141,046,528,860,154,962,958,031,002,556,
317,517,051,346,858,995,694,872,973,312,552,613,089,913,753,387,815,162,156,
911,971,685,812,228,403,233,946,303,098,434,316,314,082,713,979,741,932,022,
608,582,157,150,494,287,304,327,787,189,055,974,730,400,829,443,573,559,739,
233,719,380,953,433,776,180,693,081,951,774,978,003,198,857,547,661,761,975,
246,177,189,970,237,706,699,463,823,605,926,681,394,151,866,284,408,217,372,
942,986,672,384,754,632,064,481,996,136,345,353,059,151,484,925,783,739,635,
020,904,176,392,709,350,231,704,586,765,638,787,916,827,832,663,399,725,877,
620,981,934,939,793,527,043,768,879,588,978,648,871,310,017,482,641,811,998,
239,294,817,851,177,960,351,140,971,177,838,432,977,168,988,447,692,927,192,
715,710,035,088,144,953,956,596,203,803,915,798,027,303,159,091,605,726,760,
949,001,851,682,394,394,892,071,171,094,314,030,490,548,894,577,235,714,794,
233,683,176,454,665,304,246,833,217,715,306,485,473,021,484,540,039,537,310,
527,415,902,083,189,587,425,276,653,806,350,470,328,554,689,288,790,062,728,
089,081,859,011,005,589,887,173,519,252,546,086,640,805,580,989,616,275,881,
914,077,418,731,832,419,572,634,279,186,579,328,329,186,003,285,280,318,132,
826,971,285,855,356,567,622,223,171,706,394,037,394,180,182,915,794,190,156,
766,680,079,495,461,473,550,260,299,977,483,323,958,040,034,752,175,559,259,
432,362,152,437,065,153,166,166,261,985,882,143,351,694,813,883,992,193,350,
935,375,777,052,140,096,951,577,553,098,260,183,308,717,003,745,112,770,912,
807,565,801,493,382,717,137,626,890,476,819,112,974,397,283,076,801,571,705,
747,002,793,628,153,918,970,905,606,447,504,683,576,714,717,106,788,782,822,
937,916,494,224,767,336,686,452,786,745,683,759,954,885,122,686,753,375,758,
294,145,196,397,290,753,297,952,784,325,525,732,358,237,233,886,471,023,981,
517,042,134,565,189,934,627,319,306,147,614,398,965,936,431,492,445,221,604,
985,589,652,045,262,909,366,693,030,011,672,509,465,185,247,854,607,127,554,
764,243,163,485,770,818,099,860,962,588,365,982,356,315,191,559,448,339,570,
833,971,341,025,452,794,410,403,390,262,745,289,063,980,835,023,978,865,405,
681,834,189,065,371,821,953,479,197,296,195,399,482,282,000,834,595,528,393,
444,202,454,318,946,781,709,925,151,430,621,180,178,813,276,326,077,219,162,
089,432,410,248,243,355,899,469,377,505,055,798,010,152,448,126,548,130,333,
216,250,939,851,436,021,755,288,625,653,395,594,017,147,839,916,522,057,369,
471,304,404,188,967,012,210,932,002,710,538,088,801,041,376,576,989,223,774,
084,795,152,975,376,631,419,181,478,130,314,681,938,238,703,974,497,805,508,
480,304,133,554,108,437,556,372,275,591,931,831,691,831,060,293,878,396,748,
144,484,648,519,149,071,017,603,068,430,148,675,129,281,406,349,070,694,344,
725,134,292,944,642,315,912,840,576,199,478,039,695,904,415,692,889,878,975,
631,132,321,613,528,434,867,601,046,213,265,395,549,988,986,155,234,610,997,
671,312,601,085,983,520,744,010,181,922,017,441,930,899,402,691,028,676,224,
749,478,645,574,328,600,843,325,920,466,285,117,773,123,012,724,542,451,928,
582,462,529,369,512,587,986,265,138,401,677,666,037,964,650,715,749,283,745,
479,665,604,992,696,099,932,989,022,277,905,300,125,785,739,512,030,340,919,
101,268,058,836,177,742,874,327,921,586,563,300,558,595,327,379,369,246,768,
891,567,097,507,217,382,411,325,616,561,570,266,357,226,698,297,900,474,826,
362,819,041,133,401,993,101,997,741,904,366,408,955,447,477,735,481,019,002,
712,846,115,066,033,930,491,422,562,128,154,363,159,299,225,345,981,629,849,
170,206,014,471,092,067,967,968,738,218,061,054,420,352,953,009,614,549,198,
200,856,555,257,907,194,991,152,281,224,787,863,152,740,227,744,898,152,958,
775,378,199,513,072,837,418,773,383,318,360,059,363,360,823,339,570,932,506,
176,595,893,109,678,682,104,325,852,499,258,331,266,117,225,510,175,230,970,
292,469,370,325,845,979,648,930,980,719,758,071,423,659,547,250,171,067,296,
603,776,908,886,601,060,244,423,739,169,783,091,116,274,592,314,107,404,366,
126,059,665,685,641,359,731,324,404,521,502,890,519,386,688,237,393,906,620,
284,557,140,997,921,697,112,274,054,181,469,188,912,662,032,773,780,279,478,
451,131,355,777,623,723,548,831,292,012,166,471,943,856,145,160,040,711,810,
954,152,383,964,727,039,456,635,978,137,910,106,961,053,310,585,162,930,445,
506,134,770,252,505,075,602,805,035,290,091,956,877,861,324,901,654,049,951,
751,588,791,436,638,462,594,672,497,337,007,360,481,894,874,049,692,056,003,
553,380,200,520,273,775,388,397,069,318,394,783,996,234,075,091,915,169,096,
116,489,372,999,617,808,922,017,120,801,760,874,913,040,449,423,045,478,200,
225,999,541,412,372,227,737,345,524,832,373,141,778,123,641,117,440,750,853,
287,501,654,602,393,865,467,679,828,042,939,023,162,141,794,928,394,282,138,
701,814,001,007,364,378,963,851,974,881,124,402,378,558,655,098,927,324,949,
404,128,554,638,403,578,007,201,951,491,620,864,869,454,093,890,160,071,576,
687,698,950,157,068,857,236,372,255,237,647,176,474,252,313,224,078,829,988,
348,214,317,811,352,472,324,141,749,693,803,716,487,818,372,951,466,549,072,
087,033,358,784,728,192,368,859,002,021,261,446,489,453,887,507,401,407,384,
970,217,690,902,592,998,192,065,889,741,040,280,380,269,569,900,593,935,969,
277,067,638,751,615,259,755,236,600,460,122,736,943,469,966,333,275,865,041,
313,168,724,063,792,378,214,327,026,087,979,904,568,671,349,837,817,517,245,
296,322,386,253,705,352,976,286,007,800,857,527,957,308,443,789,767,898,012,
456,155,888,024,682,622,091,294,268,899,287,466,374,133,105,182,078,705,450,
708,909,759,651,370,170,339,677,551,784,108,913,257,952,267,291,380,639,757,
581,898,649,803,277,044,917,676,032,306,618,571,151,171,725,596,719,643,500,
438,047,863,785,202,680,014,236,727,920,725,756,797,194,913,724,896,080,387,
777,704,436,500,092,527,858,053,189,669,131,248,292,791,782,235,516,593,481,
624,796,287,001,806,294,351,185,447,667,557,138,835,722,496,761,448,021,158,
506,971,152,481,042,157,002,191,866,666,334,130,725,887,497,606,147,726,079,
796,424,858,463,748,253,115,825,590,226,980,821,605,743,646,031,746,412,259,
541,228,028,707,499,377,423,217,674,112,265,472,039,527,379,497,462,421,511,
923,439,433,938,749,475,942,962,390,884,538,090,642,036,969,547,716,802,299,
816,382,712,722,579,421,484,455,734,488,515,386,469,845,410,854,007,429,075,
989,325,174,449,661,618,010,171,030,313,064,721,068,814,927,756,992,595,854,
469,620,649,209,850,927,675,133,817,172,977,644,703,401,678,681,186,011,199,
730,227,166,537,557,308,302,119,441,130,669,455,196,029,454,415,664,815,900,
384,352,962,082,674,726,775,059,520,309,103,606,652,110,475,069,009,504,288,
596,834,834,073,262,096,765,653,810,208,338,212,829,121,156,243,625,661,786,
268,830,106,218,537,619,637,199,986,233,114,320,224,027,934,547,991,526,333,
949,359,035,599,635,736,095,183,696,791,593,349,520,828,055,773,515,169,673,
033,338,819,128,303,447,812,119,934,625,711,724,149,540,948,201,678,294,818,
133,434,885,436,582,963,953,531,871,784,947,429,369,255,891,637,857,442,358,
244,325,155,233,289,705,165,069,291,972,717,943,426,288,236,801,385,487,348,
798,485,153,473,305,988,678,303,333,934,558,226,575,996,894,680,010,764,978,
460,894,468,765,411,289,975,453,211,890,121,623,404,838,955,917,410,520,740,
062,783,612,427,615,198,426,503,018,758,101,738,849,741,375,690,500,596,977,
213,945,984,932,263,693,749,592,641,910,734,747,906,269,825,528,664,281,006,
517,514,106,255,265,307,721,414,969,381,168,830,039,123,614,035,565,428,643,
912,124,780,389,710,512,662,392,404,078,699,450,809,410,668,580,447,462,208,
458,582,783,502,955,680,079,408,350,442,537,172,347,437,790,974,793,858,510,
513,101,295,042,307,850,835,563,442,932,006,404,888,265,665,336,925,809,712,
475,347,956,945,509,477,918,365,295,305,170,352,545,333,771,965,371,284,745,
179,596,463,273,936,059,779,500,020,679,719,779,811,388,627,495,198,429,704,
789,224,973,630,899,915,519,695,306,351,706,252,537,055,794,881,204,987,901,
366,275,015,804,166,106,460,133,884,560,636,822,239,167,159,453,420,534,068,
587,754,365,677,389,511,918,865,202,688,846,581,957,439,215,889,992,489,127,
156,425,700,757,728,238,044,631,931,497,087,770,845,243,878,296,514,344,599,
128,526,186,052,556,949,490,191,996,542,232,785,109,354,423,457,424,091,805,
022,582,759,959,236,243,300,321,750,638,773,766,990,169,210,189,685,327,466,
437,943,456,734,343,773,037,247,147,665,513,164,350,950,364,452,442,648,221,
505,776,105,348,328,704,466,092,603,387,504,484,957,549,787,340,330,483,200,
816,363,483,326,967,919,162,454,736,258,417,290,959,384,635,830,654,712,358,
687,939,964,327,010,456,932,898,494,999,583,742,061,776,035,319,850,637,657,
296,571,853,260,612,596,252,684,216,190,123,741,926,062,903,435,042,754,299,
268,621,438,089,868,759,905,381,612,707,337,858,374,341,139,530,005,685,692,
671,322,200,351,767,274,674,898,537,292,944,516,897,723,386,960,297,325,665,
642,551,085,903,458,339,910,960,094,717,575,644,011,797,588,043,831,855,644,
482,617,378,296,996,555,751,738,638,112,263,651,808,927,433,426,498,568,174,
795,828,880,016,978,032,146,729,682,946,920,528,361,064,972,786,429,867,322,
074,690,250,074,263,188,446,211,025,722,044,734,915,670,089,973,789,233,893,
708,958,100,168,351,781,620,435,940,974,765,252,385,464,556,549,086,674,644,
004,482,834,346,673,429,549,921,429,950,126,698,603,976,354,533,291,747,198,
982,221,968,913,734,940,128,009,822,442,208,430,673,226,193,546,511,200,984,
854,500,933,553,866,481,581,378,485,304,288,063,549,704,457,383,685,330,084,
346,954,616,987,077,303,169,498,131,688,145,191,047,955,221,088,328,888,361,
250,240,310,629,846,950,354,311,826,443,590,434,383,229,049,433,802,275,392,
588,931,735,809,599,618,924,161,866,147,799,535,323,602,549,883,787,026,482,
215,763,701,829,085,795,346,673,153,649,077,045,880,897,970,999,499,913,482,
374,703,343,313,239,833,238,961,898,088,289,211,663,140,063,258,562,540,243,
014,889,387,414,877,070,332,357,617,838,864,393,387,074,532,247,392,849,137,
702,331,554,060,826,318,497,751,765,471,191,453,748,461,756,837,360,732,335,
056,817,214,527,128,821,128,889,784,304,115,506,832,672,740,075,130,680,359,
420,747,979,864,939,337,374,792,188,278,207,873,167,962,806,077,618,920,712,
694,595,307,549,504,934,791,635,141,684,877,632,193,596,683,493,172,450,175,
811,134,228,698,657,005,837,861,206,870,187,069,891,284,592,292,303,124,147,
906,448,254,033,683,055,051,653,195,531,311,184,575,051,877,990,910,505,430,
693,691,198,103,146,859,632,813,369,550,487,598,644,668,861,226,426,275,977,
519,888,291,349,624,946,383,740,749,664,181,838,191,499,832,666,563,486,895,
405,952,075,468,993,889,013,659,243,658,783,909,859,367,828,010,840,100,086,
602,005,946,426,962,399,419,930,076,312,536,690,515,553,561,461,479,469,597,
708,931,985,425,760,054,081,012,455,359,392,762,093,830,815,760,829,407,288,
744,100,406,728,197,771,918,080,983,503,044,884,417,671,624,917,765,028,260,
687,734,631,606,829,021,901,558,589,835,899,713,207,545,709,098,735,976,456,
848,265,039,896,067,830,922,753,320,385,042,577,047,245,630,066,888,602,176,
553,271,229,138,858,872,328,954,868,863,190,352,341,689,741,304,409,837,099,
499,394,421,016,456,553,703,037,320,322,907,325,381,853,847,174,218,097,399,
983,286,868,109,051,949,046,318,121,247,588,546,817,469,412,571,060,311,720,
783,044,234,577,852,150,472,241,455,981,236,067,379,453,258,729,723,467,183,
042,112,270,820,906,175,832,577,946,142,962,601,291,275,974,373,719,459,294,
695,557,194,011,712,013,824,459,571,476,333,059,513,390,264,805,471,636,331,
429,572,589,081,356,148,948,854,439,389,262,134,866,883,237,250,135,579,795,
493,013,596,175,301,863,358,057,912,777,565,491,355,790,016,460,418,342,930,
619,675,230,707,203,152,047,710,162,663,992,741,998,147,645,810,347,916,072,
166,952,321,606,512,767,842,332,975,465,435,108,378,107,363,382,934,954,431,
783,270,277,368,795,250,109,270,760,191,802,739,547,648,729,003,296,972,944,
316,974,033,414,717,590,942,990,218,438,022,578,710,161,446,281,669,609,930,
095,982,767,459,814,017,081,726,938,977,025,941,916,138,361,057,839,876,341,
985,614,057,827,430,286,497,135,478,564,158,876,376,243,226,153,188,587,648,
941,323,206,876,846,502,114,029,449,310,929,736,802,418,063,434,531,322,796,
356,359,017,080,089,700,880,093,499,840,365,350,801,753,494,916,788,651,094,
532,277,795,966,122,957,911,218,502,204,094,769,931,472,091,611,499,697,775,
169,617,358,393,277,024,396,315,354,824,859,827,943,265,164,600,333,950,118,
628,548,755,644,281,359,089,543,935,821,233,452,838,223,613,104,707,089,482,
634,127,501,583,992,922,736,982,329,537,300,717,729,651,422,262,761,737,765,
223,869,542,484,145,967,455,642,541,774,102,718,068,795,189,387,051,990,696,
917,535,722,656,357,490,814,072,581,804,450,276,368,159,889,295,554,425,913,
368,205,829,760,232,255,302,212,954,191,589,884,301,333,020,673,110,717,414,
831,476,775,421,873,285,947,237,579,904,274,350,250,540,400,888,783,756,354,
541,169,166,816,780,379,065,128,776,986,471,438,649,029,421,394,896,980,758,
677,794,107,295,089,816,385,043,070,862,384,778,375,186,971,190,455,111,733,
074,643,775,982,867,827,133,764,078,545,199,127,572,772,841,625,787,183,103,
948,552,604,667,932,698,875,189,341,244,185,258,902,426,366,015,448,506,769,
353,146,663,934,797,253,852,392,783,087,259,899,407,835,235,129,334,258,840,
354,062,294,367,163,280,399,717,348,334,265,436,929,544,633,624,298,687,623,
313,592,071,317,028,673,959,676,402,874,930,895,203,695,918,456,115,748,215,
217,592,639,766,200,301,556,424,038,732,627,441,077,305,901,610,637,808,065,
468,974,290,325,629,669,636,983,562,943,567,162,102,492,199,877,332,193,144,
079,218,859,980,484,316,002,346,029,895,708,893,063,452,258,193,739,731,150,
428,659,200,660,494,292,305,252,792,859,578,538,460,064,775,867,423,653,685,
167,571,779,216,442,708,507,509,009,935,444,429,509,472,907,024,146,559,518,
197,124,007,306,228,473,493,567,341,870,484,304,440,899,552,105,514,287,989,
147,810,417,425,462,237,556,685,110,649,619,640,583,937,086,405,560,818,240,
837,866,441,735,147,899,463,206,159,814,561,227,076,270,248,517,144,500,532,
313,173,906,156,537,861,337,709,754,773,197,890,840,451,567,827,510,088,999,
435,710,549,592,307,678,940,033,824,695,296,857,981,033,608,196,861,871,471,
348,366,924,972,807,509,834,450,325,054,041,176,806,675,700,384,018,967,697,
748,130,183,206,507,246,094,307,737,954,724,991,855,868,546,966,979,048,379,
940,302,986,265,429,233,547,901,313,742,756,048,427,642,273,020,046,425,278,
259,107,713,357,513,267,253,427,541,619,926,456,152,575,945,746,621,161,056,
631,358,719,276,799,259,582,637,655,604,266,153,943,746,970,629,662,677,349,
353,303,179,589,799,329,553,148,157,721,788,430,020,607,838,155,935,904,267,
013,779,195,853,529,784,619,549,020,266,870,919,570,321,906,652,888,900,637,
900,768,730,124,945,565,439,938,774,116,929,828,128,885,207,309,749,892,352,
323,504,205,091,761,550,031,978,281,543,479,375,305,583,164,550,914,259,356,
177,799,917,318,216,280,795,819,672,604,641,313,645,189,011,499,607,900,349,
420,893,837,059,551,045,960,192,920,164,456,373,191,132,092,314,241,549,119,
737,555,984,629,503,359,489,441,594,931,749,878,720,980,737,106,246,983,915,
883,880,858,122,312,521,301,475,479,376,034,656,563,009,113,934,470,092,970,
720,443,736,803,227,445,756,177,761,296,209,666,501,220,463,275,602,960,812,
932,976,140,133,842,749,309,919,468,244,495,837,035,680,467,213,982,436,932,
753,441,472,727,862,805,836,635,868,483,680,227,344,365,905,923,718,600,623,
521,075,440,598,203,073,100,928,775,032,528,363,371,700,461,059,743,208,293,
965,871,122,453,862,440,680,460,661,267,415,262,072,019,258,227,842,328,467,
086,523,182,112,076,338,727,879,366,950,401,454,805,966,293,011,403,946,647,
548,956,671,189,997,844,764,054,150,245,723,513,438,496,358,838,665,126,920,
059,022,554,685,010,147,076,273,891,263,656,191,636,033,907,304,624,966,488,
707,487,771,421,852,567,130,770,506,686,809,927,557,917,807,688,592,596,100,
270,685,396,575,034,593,881,400,564,861,528,539,139,148,856,114,694,534,649,
131,753,989,529,654,523,367,112,675,695,458,873,855,623,307,368,647,133,633,
822,430,141,449,066,314,917,895,250,383,108,612,528,485,020,433,917,047,121,
202,733,074,318,605,594,108,988,122,717,190,735,745,717,470,076,950,372,142,
691,876,171,913,056,072,150,822,661,207,006,638,451,967,687,069,388,542,110,
071,253,475,506,406,789,531,476,102,963,942,153,051,834,742,192,678,811,940,
831,562,547,654,850,451,387,351,584,072,374,443,817,790,569,603,464,912,498,
941,928,560,366,318,206,302,298,688,323,923,029,171,842,069,024,559,487,313,
857,021,390,549,853,931,915,255,257,190,120,205,515,031,260,678,363,114,398,
569,087,752,270,928,377,379,156,747,160,306,831,362,972,594,463,619,369,437,
715,818,324,533,750,554,414,886,278,251,513,208,934,940,549,422,692,242,449,
312,009,610,698,810,475,599,539,860,440,557,381,688,302,183,023,455,376,252,
160,808,458,697,218,498,694,700,651,962,327,331,759,992,173,159,843,662,743,
627,047,324,122,067,060,071,587,097,709,263,733,495,174,841,216,368,612,395,
891,323,689,569,470,761,979,059,117,841,494,800,160,552,216,238,998,520,908,
534,492,194,550,135,614,039,502,938,206,244,285,159,388,455,401,500,757,014,
643,087,061,196,718,250,199,767,242,763,082,576,476,605,048,106,539,953,446,
078,175,675,260,195,452,854,693,966,990,188,500,293,567,496,898,395,674,436,
608,058,536,719,628,408,272,294,220,882,191,005,849,115,903,990,389,718,294,
883,615,926,294,028,229,950,223,991,529,782,980,187,884,202,438,858,767,445,
371,221,210,613,708,922,007,697,748,833,646,418,915,652,768,890,338,351,503,
721,280,950,361,774,867,967,033,233,346,442,052,497,183,728,895,748,633,158,
364,002,530,635,620,160,368,436,239,072,445,692,959,541,021,418,057,521,895,
710,900,119,319,761,242,465,088,862,755,543,034,807,689,335,999,441,288,074,
772,020,222,812,816,306,214,443,287,581,263,948,242,509,802,951,191,202,826,
968,220,895,875,531,913,955,599,190,000,997,983,744,599,293,752,223,451,222,
775,207,008,037,298,179,484,912,513,714,903,937,650,355,327,272,451,991,015,
922,617,810,974,288,675,966,567,174,946,428,986,971,930,238,014,958,992,078,
755,581,942,738,102,468,570,080,540,486,412,091,828,574,050,900,447,840,968,
326,446,023,964,606,639,101,484,868,447,037,791,331,234,402,020,606,269,726,
466,995,437,825,331,801,600,495,578,439,514,748,460,600,302,121,408,807,020,
463,820,789,525,527,832,772,864,185,501,426,580,256,401,449,154,049,801,084,
553,004,368,538,815,361,775,661,922,809,251,150,193,954,307,771,989,628,340,
147,150,782,172,307,497,112,909,857,367,357,837,392,819,941,325,797,727,550,
500,398,858,697,369,202,790,148,685,113,791,779,145,507,305,482,557,234,568,
784,743,143,751,594,716,659,380,330,086,109,702,501,064,921,257,190,358,634,
398,096,216,278,659,926,766,666,807,011,108,947,023,922,848,806,033,936,393,
382,503,525,994,410,587,314,549,003,088,037,343,015,608,287,981,804,096,246,
254,607,672,651,659,190,220,310,225,805,696,396,776,466,907,060,239,890,635,
439,811,829,127,085,144,284,520,544,729,798,828,017,035,521,448,680,057,196,
421,271,630,559,940,433,476,263,278,109,849,639,267,841,097,568,961,077,390,
725,081,546,689,695,421,243,598,441,261,068,083,114,515,724,334,984,071,327,
549,643,420,483,793,429,875,283,223,169,169,375,730,099,493,749,552,148,231,
195,915,389,082,811,224,003,468,429,977,745,203,077,978,172,265,080,292,054,
345,661,306,561,210,006,712,686,251,768,699,514,811,573,661,675,106,894,304,
856,650,564,560,616,972,289,210,634,612,866,231,473,213,085,527,346,246,899,
300,592,471,923,072,371,326,998,238,914,588,481,271,006,843,502,353,900,774,
851,489,308,852,091,325,405,176,292,241,314,990,008,735,087,624,238,316,646,
660,369,688,346,255,848,048,725,140,793,294,798,495,617,629,910,141,054,920,
006,352,470,094,368,501,951,371,328,116,914,233,944,192,165,580,157,164,811,
001,270,701,123,098,923,735,076,957,988,449,102,666,402,127,612,670,903,679,
740,690,608,525,495,258,073,142,562,264,348,461,906,458,891,959,028,121,804,
302,385,459,381,177,743,318,052,912,739,699,951,239,412,705,068,710,381,471,
630,769,026,292,020,406,624,848,004,101,886,171,280,417,496,655,047,291,937,
453,960,315,478,188,212,216,405,331,584,498,932,095,355,451,196,356,167,079,
402,692,178,560,888,949,004,898,670,203,874,096,059,343,622,664,048,838,080,
819,062,725,396,422,855,637,274,278,071,979,567,833,492,076,575,645,729,454,
518,329,239,157,658,361,291,789,049,264,685,681,190,113,436,471,458,660,612,
852,987,209,438,005,325,012,325,514,637,754,160,096,276,898,229,245,882,766,
439,018,989,285,236,609,144,616,489,659,973,255,011,775,031,880,041,078,826,
064,281,818,379,624,921,123,657,052,166,682,953,675,947,866,659,710,364,903,
477,389,403,910,509,628,841,117,300,908,164,599,918,644,830,858,626,095,412,
529,832,427,508,302,918,777,779,706,054,519,706,068,233,124,741,361,676,253,
310,640,475,589,530,178,030,065,024,686,406,447,038,668,539,162,184,619,756,
334,764,390,158,759,044,142,868,938,148,584,753,959,497,488,820,374,098,898,
100,645,093,021,351,980,534,516,871,418,813,210,552,776,236,132,678,677,710,
842,142,022,599,352,296,742,401,434,055,276,592,803,121,073,294,867,478,561,
809,414,473,081,708,555,383,905,378,075,108,232,004,836,192,188,585,738,420,
298,157,878,230,181,750,277,829,532,100,177,719,403,002,772,874,627,478,607,
916,142,680,481,657,993,138,083,775,120,123,073,244,976,132,359,358,311,265,
623,117,933,309,938,805,537,706,953,169,084,520,191,190,577,673,258,746,816,
672,800,666,321,397,320,744,595,328,425,588,993,133,005,420,825,450,949,001,
793,984,680,131,129,219,054,251,231,922,043,803,243,199,317,250,372,942,428,
104,737,772,742,698,076,797,930,049,374,129,810,669,706,038,397,238,372,602,
772,933,651,617,678,257,291,264,908,241,955,855,270,807,208,696,239,839,487,
949,112,050,227,804,327,544,139,961,801,249,961,548,774,681,391,699,985,205,
962,440,761,508,170,755,290,927,382,582,554,248,286,534,006,036,672,229,797,
474,504,915,451,332,065,663,065,963,414,873,702,164,661,417,625,165,169,128,
675,169,847,196,164,122,306,761,659,491,824,715,694,207,584,724,917,887,355,
467,808,410,532,372,838,043,933,387,391,757,052,841,395,197,639,054,729,371,
396,050,801,548,562,957,158,573,828,706,598,644,538,380,055,439,637,484,280,
517,741,526,406,740,706,943,844,658,324,477,124,984,191,022,056,082,795,436,
952,755,900,080,242,253,320,271,407,345,291,099,551,590,191,363,171,048,159,
328,097,652,477,951,328,630,180,589,151,261,300,007,763,962,251,094,761,469,
182,732,099,268,116,260,331,093,465,790,946,584,878,151,359,494,720,800,759,
787,311,913,269,174,992,407,438,390,087,213,462,720,873,046,108,073,076,120,
375,976,857,752,204,460,887,221,905,961,219,006,663,827,220,689,581,705,021,
612,687,128,939,246,967,688,686,537,119,090,819,882,237,759,178,511,656,067,
085,442,983,973,599,480,312,323,927,030,901,914,465,648,110,388,502,265,269,
354,312,184,847,570,867,696,853,524,517,310,492,599,156,691,069,754,610,927,
863,255,753,253,502,272,923,841,559,169,549,432,714,435,973,841,471,576,576,
692,555,649,832,219,206,680,967,266,357,555,486,560,159,110,794,753,296,119,
984,830,685,895,596,684,262,289,798,075,209,563,900,027,264,607,161,881,564,
208,235,355,965,272,688,758,655,238,317,579,062,796,887,097,471,762,253,162,
550,748,428,592,600,609,942,920,297,725,748,477,563,154,627,223,686,190,507,
180,744,979,091,963,066,297,654,964,764,243,023,769,536,891,381,755,579,110,
430,786,965,269,346,499,089,668,069,015,352,828,049,980,602,022,966,406,495,
183,809,273,334,952,417,782,444,266,670,442,733,658,284,618,963,095,132,700,
034,535,070,313,501,781,138,831,258,729,931,312,429,509,217,641,693,544,935,
827,926,716,099,934,008,676,802,729,561,448,078,039,832,751,851,911,236,725,
717,506,082,557,476,092,804,183,955,504,498,754,763,777,995,978,191,119,247,
767,483,647,744,921,311,572,291,940,794,051,855,115,869,980,685,732,545,978,
877,542,556,296,519,666,007,711,905,256,431,978,240,152,833,461,749,415,744,
065,338,089,942,826,987,352,338,565,429,097,589,364,434,730,668,708,491,190,
365,647,764,907,771,082,796,651,779,341,422,317,407,632,891,555,688,584,401,
403,159,925,654,851,215,418,412,604,687,545,776,772,177,442,877,521,871,256,
510,305,867,310,136,802,156,372,419,511,807,507,139,086,155,897,811,597,531,
380,089,253,107,033,444,310,813,947,504,737,021,916,992,289,183,323,248,085,
181,100,751,042,303,761,683,824,577,296,673,303,848,368,091,178,025,267,177,
562,063,655,843,326,696,820,967,039,580,677,642,767,403,427,375,380,336,239,
199,630,088,213,632,660,720,075,652,730,923,717,712,877,327,063,871,172,960,
218,137,252,911,985,225,286,763,114,371,431,314,838,160,036,421,838,007,252,
558,109,215,049,281,059,565,271,994,878,589,062,641,094,296,751,219,421,204,
905,123,918,868,602,082,062,646,862,972,625,130,655,036,702,902,191,807,975,
372,605,589,561,094,127,897,385,454,345,460,454,565,835,140,683,361,294,177,
741,162,426,801,942,797,259,110,411,389,607,066,626,663,294,414,805,603,319,
661,848,928,963,529,848,928,791,304,642,239,011,182,812,412,127,030,015,815,
624,873,189,496,946,008,759,367,750,694,382,329,837,423,223,938,203,037,492,
692,908,091,968,958,782,720,314,227,690,151,292,542,970,843,514,099,685,379,
177,662,688,247,132,493,000,025,829,058,296,992,613,296,257,943,780,719,426,
066,119,292,976,250,231,671,261,446,907,789,511,498,447,511,217,145,609,264,
887,097,286,478,646,974,362,002,697,487,551,118,497,196,654,313,378,481,048,
840,546,147,836,909,090,806,817,303,574,627,900,635,195,583,870,855,658,787,
998,434,479,123,839,253,823,051,972,415,478,097,682,041,899,896,544,411,868,
969,074,830,080,335,943,919,860,673,011,178,536,691,278,004,562,162,779,392,
904,767,643,467,877,054,963,131,786,114,620,478,355,299,727,489,003,574,818,
396,259,901,700,031,299,330,009,416,086,193,376,152,268,242,923,522,435,097,
580,777,528,683,340,058,750,694,844,471,561,739,578,122,466,758,953,513,648,
862,922,974,492,566,607,712,126,738,323,155,066,086,004,803,643,630,870,392,
402,372,171,601,894,424,282,568,542,559,596,905,044,144,236,167,394,794,816,
187,036,353,581,417,581,509,839,384,398,976,891,694,465,225,275,660,590,304,
543,068,978,086,137,598,646,307,451,422,613,232,897,187,911,045,226,615,574,
268,253,916,470,300,130,604,856,514,568,322,877,085,206,949,692,960,581,241,
603,433,759,520,926,301,257,532,740,375,835,366,036,603,474,776,085,410,588,
044,866,359,931,675,670,748,275,406,295,810,579,787,770,845,836,309,201,483,
436,202,277,934,991,928,136,493,241,581,625,479,908,707,372,263,659,018,886,
508,377,575,267,790,252,592,033,232,226,795,680,385,807,601,262,794,361,539,
138,540,865,948,999,040,569,632,632,421,664,856,255,035,643,091,163,427,877,
620,788,281,310,177,259,074,476,742,151,087,120,794,318,718,340,079,206,050,
992,596,244,749,652,501,024,211,162,098,634,912,112,442,841,122,877,616,338,
232,099,987,902,757,365,345,650,549,423,055,572,156,445,806,065,169,451,434,
730,289,510,007,907,337,866,613,868,322,956,330,571,179,588,976,182,263,137,
444,171,950,116,848,696,985,937,499,324,055,949,211,230,555,880,638,488,414,
572,423,720,728,123,873,842,964,203,406,878,629,812,964,427,557,177,251,723,
736,501,503,548,600,285,991,775,904,673,820,035,751,181,032,394,268,853,771,
291,320,208,971,285,332,592,984,218,651,857,041,775,716,212,936,189,166,179,
189,933,533,542,142,625,081,230,231,456,889,313,237,377,293,917,348,075,174,
859,704,422,437,354,795,770,924,585,014,296,197,632,252,328,379,272,826,194,
386,723,831,334,158,761,889,554,178,466,007,667,567,003,521,407,786,260,101,
059,899,046,310,809,286,979,456,701,898,059,845,963,869,319,665,095,853,847,
753,131,855,416,323,810,718,702,261,129,452,679,181,332,308,800,839,446,429,
306,973,528,110,243,421,728,929,354,020,518,792,749,447,462,589,202,349,333,
412,759,490,749,844,948,926,067,247,922,749,376,964,715,242,693,836,215,846,
961,521,474,695,490,960,750,864,489,789,953,320,915,797,615,376,676,195,502,
052,342,799,238,208,165,538,405,100,572,097,334,791,066,788,469,764,505,993,
014,373,742,326,146,318,829,893,169,232,336,493,228,409,353,780,299,311,128,
575,572,654,871,622,083,145,803,564,284,411,468,661,264,572,533,936,594,423,
081,994,952,354,902,460,197,108,945,578,764,412,173,917,382,361,917,518,096,
351,595,709,719,615,994,793,983,296,225,750,283,655,230,388,118,720,938,396,
042,580,658,799,191,650,377,977,645,914,729,750,801,702,464,913,437,324,071,
817,121,304,850,275,870,622,347,621,163,291,598,081,880,621,665,433,471,016,
355,373,870,992,838,863,580,857,660,621,409,497,968,210,457,782,923,313,889,
740,390,614,821,119,495,693,744,020,172,111,971,371,411,989,768,952,671,383,
628,523,687,611,915,498,786,478,719,869,992,089,876,888,532,513,214,808,855,
981,713,927,716,154,793,946,364,309,530,024,967,913,526,160,356,422,465,504,
508,471,602,427,315,256,203,141,279,551,703,362,455,596,679,325,486,186,857,
559,664,582,960,631,985,072,497,607,207,991,009,908,416,772,241,347,979,245,
968,594,677,884,152,653,648,214,548,334,201,735,336,158,756,233,859,802,193,
547,996,658,958,509,045,858,501,860,427,239,678,918,395,353,545,091,404,682,
303,399,230,690,196,324,203,089,662,996,819,291,022,678,052,545,585,073,933,
108,827,384,031,121,114,130,896,539,882,135,527,608,553,322,721,331,128,116,
412,835,348,680,879,230,079,993,641,640,501,160,541,828,218,389,716,254,648,
275,073,341,271,427,194,396,729,512,692,172,506,940,522,766,392,167,897,110,
336,024,791,539,819,393,180,043,232,072,788,610,262,807,683,945,247,209,138,
679,816,140,013,008,676,026,258,288,622,979,628,470,310,628,015,418,342,458,
705,852,143,367,922,683,458,427,814,969,154,097,193,783,349,451,370,765,349,
495,150,550,130,763,169,797,246,668,499,876,853,882,552,799,671,230,433,997,
881,493,745,975,087,861,076,666,947,725,279,679,923,861,483,772,427,826,450,
543,438,055,141,386,540,628,277,074,917,322,975,803,111,499,485,139,161,802,
448,689,793,475,281,312,046,177,179,291,643,759,453,804,082,899,648,786,722,
309,405,381,592,870,896,839,141,269,610,974,893,793,950,241,620,568,831,143,
534,192,596,220,578,791,617,964,288,603,732,539,559,982,361,124,533,958,694,
652,151,855,471,333,901,461,366,299,578,904,254,128,724,979,624,021,176,499,
149,843,653,826,582,908,644,749,983,648,924,458,973,127,638,698,203,980,249,
859,835,724,580,822,000,705,448,903,926,732,714,775,311,982,658,617,377,179,
447,012,549,120,046,542,211,247,509,950,033,987,683,824,762,717,362,168,842,
838,119,688,335,810,828,123,441,949,908,553,943,255,166,477,675,689,379,524,
018,074,726,964,711,176,256,628,037,671,164,123,927,725,653,797,665,894,869,
995,295,517,584,566,875,629,563,525,324,622,501,801,544,802,740,038,506,681,
162,163,492,829,251,754,982,691,961,255,666,735,906,784,386,506,913,300,114,
671,352,575,211,055,007,830,956,997,526,450,635,669,408,331,864,471,102,191,
867,773,354,919,601,777,048,029,658,129,132,292,614,992,513,599,559,381,845,
361,321,198,703,629,984,156,351,171,861,723,934,691,210,415,822,175,448,838,
481,618,727,336,887,599,413,460,002,873,135,706,914,735,352,071,100,715,197,
186,842,973,852,344,619,654,697,668,120,380,965,936,608,974,356,280,714,430,
011,464,936,923,031,601,211,735,522,116,619,913,165,641,172,359,391,124,242,
712,673,184,876,233,585,882,496,422,779,941,749,557,051,881,439,899,200,635,
892,342,663,731,765,517,300,305,482,492,770,026,218,970,272,868,535,400,908,
406,739,613,323,796,857,783,103,478,834,759,359,671,654,434,423,170,348,556,
092,118,143,933,058,457,702,637,549,618,714,628,714,919,808,363,064,228,537,
739,357,621,472,985,289,918,218,731,757,923,866,084,502,665,878,473,840,359,
992,066,447,559,572,948,688,083,422,009,836,798,709,889,831,593,930,193,995,
876,117,633,799,877,510,842,821,940,326,684,918,595,780,570,182,039,533,848,
827,046,013,580,565,111,862,166,740,075,443,474,456,149,754,257,992,633,550,
026,253,492,991,058,311,838,110,484,245,536,474,379,705,936,687,131,155,552,
921,667,346,517,923,334,474,389,535,639,309,545,386,362,452,568,436,230,105,
483,933,920,503,743,206,934,202,247,425,251,502,567,295,640,222,258,777,548,
102,869,355,415,919,064,652,009,829,731,256,536,934,141,170,217,437,948,112,
426,708,678,202,803,052,783,840,092,042,778,957,137,117,495,761,908,547,605,
451,630,773,089,282,697,063,436,769,240,445,565,911,321,148,884,895,647,096,
322,017,424,322,121,348,574,337,597,416,113,413,336,605,668,914,680,424,143,
029,692,985,561,805,249,073,749,821,273,764,080,851,511,615,954,109,545,228,
819,597,810,091,894,411,541,047,104,767,192,124,253,333,402,103,864,702,290,
131,363,440,676,911,113,647,862,291,811,521,258,659,563,183,999,601,512,968,
142,688,353,204,936,281,830,314,085,287,244,799,794,092,612,241,333,702,974,
628,978,298,427,263,239,920,005,748,353,865,527,885,363,521,309,366,006,935,
882,285,450,511,962,786,229,100,061,857,039,808,469,899,090,507,600,151,711,
143,267,810,083,890,548,727,118,254,434,172,847,914,509,444,873,624,311,740,
502,960,894,398,815,998,299,490,515,424,611,296,413,796,266,352,416,436,076,
837,082,789,306,924,620,463,955,686,773,125,014,815,415,293,844,016,722,794,
538,773,897,716,948,066,442,784,762,614,452,060,401,229,781,359,600,057,644,
402,457,698,983,561,302,789,068,345,223,058,848,007,630,220,402,657,351,853,
236,590,394,488,068,016,956,645,283,957,129,427,247,249,723,105,746,403,064,
785,655,691,960,675,150,287,076,228,844,310,024,102,552,173,901,049,570,208,
066,985,732,741,282,080,511,311,379,214,291,720,698,146,594,097,596,093,049,
366,512,215,130,252,331,442,631,821,000,087,152,194,018,768,133,271,344,477,
650,385,311,515,608,214,482,545,925,018,937,152,538,346,643,695,855,610,543,
916,257,795,872,155,525,942,128,244,243,147,262,677,046,711,820,587,335,478,
758,099,361,037,821,324,494,328,646,353,811,021,013,980,854,717,678,236,226,
517,616,264,532,911,487,244,312,162,133,494,491,660,687,096,447,050,961,188,
388,063,841,774,235,111,670,431,758,647,059,200,555,453,620,466,194,767,615,
234,216,566,762,050,548,889,714,634,570,903,144,256,105,989,936,462,948,025,
962,681,791,528,089,940,196,985,938,602,725,833,757,666,447,150,225,338,008,
431,801,196,568,392,276,046,869,692,563,278,950,729,899,358,805,455,189,742,
368,017,073,026,038,352,733,982,008,473,909,892,652,390,502,109,578,401,763,
364,110,983,804,682,004,870,739,031,685,188,500,221,999,685,070,153,731,524,
495,969,756,022,551,865,821,711,345,063,054,300,070,661,790,238,672,511,741,
360,964,308,370,063,956,499,667,072,100,957,304,049,783,951,148,150,353,661,
618,129,391,756,185,402,220,346,707,389,030,492,852,897,119,166,434,118,622,
253,609,523,168,370,859,778,326,435,089,730,183,170,667,950,641,356,196,545,
558,000,634,024,951,636,566,858,242,221,413,709,067,610,643,535,533,292,103,
973,254,902,485,567,958,668,708,161,460,549,532,950,721,407,962,666,792,532,
790,152,842,021,922,616,577,161,559,885,138,605,122,202,736,858,213,218,158,
520,603,438,498,735,610,332,865,343,333,781,873,704,445,415,387,458,231,305,
586,302,256,291,405,209,000,302,527,687,147,598,201,306,895,291,308,019,702,
570,724,407,674,411,874,774,355,697,726,161,847,456,582,864,884,833,998,793,
049,530,411,516,331,368,426,255,799,431,346,769,168,345,581,209,950,020,684,
121,834,044,233,748,460,230,474,113,382,930,769,093,505,452,864,021,907,506,
199,105,846,350,157,781,387,067,401,619,486,848,244,588,302,419,514,945,766,
810,133,097,310,173,100,252,812,376,972,140,376,461,622,989,030,825,058,618,
561,927,794,805,463,273,759,418,246,910,580,181,051,719,692,985,870,128,836,
627,460,830,231,446,836,064,264,227,757,064,198,166,048,844,756,803,759,791,
733,402,823,935,678,886,858,654,921,705,392,354,654,910,878,382,591,033,316,
950,535,045,460,469,384,091,345,967,474,642,764,723,466,793,511,608,842,378,
612,233,165,276,525,236,136,730,880,670,549,757,059,190,544,054,618,112,176,
745,838,647,004,403,888,212,013,474,971,783,447,179,514,329,853,476,597,119,
239,252,704,643,871,072,420,579,491,116,335,310,306,024,374,669,131,889,551,
252,477,811,181,322,975,494,128,700,133,506,797,892,669,654,606,045,683,675,
186,499,897,687,499,311,345,952,366,115,064,890,101,769,190,948,840,025,076,
872,743,496,416,414,196,674,283,461,618,846,565,642,569,052,342,023,161,418,
087,414,304,762,436,523,736,557,274,083,637,584,039,458,284,569,019,746,904,
095,603,961,039,620,211,207,086,704,352,954,318,365,691,658,361,720,774,880,
418,189,914,938,877,485,371,007,599,161,203,657,610,762,727,116,231,557,815,
463,406,474,971,646,823,647,549,234,132,189,511,820,240,791,775,928,632,179,
760,761,251,524,766,922,291,529,619,806,253,564,501,141,227,113,804,568,845,
958,751,468,997,348,046,627,550,214,850,164,624,437,656,775,567,018,334,865,
825,555,314,606,505,420,296,957,630,294,553,432,608,954,559,220,036,479,215,
825,176,821,648,116,335,013,880,787,437,812,253,049,285,433,786,904,688,491,
171,012,810,319,804,059,836,145,663,539,635,940,063,488,943,164,855,143,183,
880,849,459,332,677,732,365,045,855,283,465,780,470,603,823,384,703,355,326,
133,098,739,936,737,955,999,400,505,694,568,980,141,552,076,731,398,692,496,
244,766,464,602,999,274,671,649,908,894,613,639,518,606,281,494,385,424,200,
163,068,479,962,698,604,831,287,056,107,467,183,103,820,185,324,982,127,959,
526,012,330,910,116,196,475,066,436,994,249,719,186,238,961,248,431,228,175,
805,054,405,279,771,616,744,812,421,004,041,508,719,636,692,980,381,213,348,
369,616,082,713,733,827,599,359,982,667,982,538,505,271,654,611,614,069,024,
229,929,755,649,025,135,400,536,251,453,316,167,965,429,002,814,954,207,564,
749,733,992,042,229,268,933,333,503,231,162,620,234,950,702,916,171,748,533,
746,263,818,986,033,883,515,619,853,301,054,053,256,706,954,954,324,305,611,
967,206,932,178,800,352,689,019,268,972,876,573,359,008,130,018,011,310,577,
072,437,146,411,705,825,994,445,579,550,442,994,584,412,104,010,795,421,771,
197,906,766,927,900,246,398,958,664,252,956,965,197,293,267,095,294,119,829,
677,982,159,300,491,118,519,618,668,418,867,812,507,244,410,792,097,472,844,
344,272,967,455,457,734,922,397,991,141,566,942,490,453,528,756,350,036,778,
058,068,721,400,906,013,876,116,763,191,489,712,435,045,978,986,095,578,425,
556,038,929,731,170,611,458,188,224,657,723,087,760,860,111,905,187,130,034,
376,985,256,896,541,681,781,737,187,986,365,522,239,195,301,610,097,400,820,
140,144,010,981,075,915,465,848,500,399,862,130,359,149,814,467,009,179,081,
224,724,983,910,423,766,617,787,561,008,076,906,127,569,618,177,428,179,356,
109,663,265,100,064,528,723,416,895,550,442,226,726,429,313,154,363,206,654,
811,667,225,716,253,745,872,642,852,263,107,027,375,242,301,967,978,145,373,
443,569,042,752,783,866,015,652,688,200,671,426,354,288,776,063,521,982,570,
217,522,463,320,883,924,084,190,896,801,890,624,283,620,882,511,252,386,330,
295,678,748,478,506,681,620,191,832,749,402,279,038,100,350,337,610,782,604,
354,185,674,131,439,372,364,401,145,400,861,180,688,138,351,783,800,977,051,
008,114,004,215,973,419,221,316,775,414,948,719,666,449,349,568,325,426,487,
835,172,849,390,621,464,567,381,762,873,961,658,164,922,133,422,134,860,772,
216,001,985,631,486,224,717,250,524,026,530,517,122,368,286,562,933,885,705,
840,970,103,222,908,428,034,929,862,082,153,560,943,113,486,386,909,386,856,
628,154,934,532,158,488,498,865,001,152,697,663,507,560,285,938,010,795,948,
295,252,878,175,370,909,495,447,382,648,457,449,214,770,814,717,048,669,355,
962,502,369,806,810,444,181,723,136,956,861,624,479,093,592,702,787,594,882,
917,334,613,455,206,251,979,903,530,271,477,279,658,341,000,208,660,179,445,
475,624,430,328,474,671,204,849,929,985,082,831,206,111,741,709,783,172,197,
959,081,660,343,643,370,874,121,459,322,903,341,030,137,459,381,498,718,753,
632,836,549,314,851,149,233,895,191,624,384,745,713,092,505,068,217,381,546,
110,662,754,098,598,928,541,952,186,246,801,463,133,290,072,846,338,199,001,
914,638,492,809,987,901,605,805,367,822,740,383,180,837,771,417,866,949,384,
749,655,771,644,552,937,168,868,608,650,450,809,486,750,830,583,536,170,706,
899,412,728,416,911,730,056,772,981,046,102,882,560,025,631,170,722,381,376,
028,718,429,897,468,090,786,674,096,454,870,859,587,110,084,385,134,631,678,
362,779,385,364,697,109,191,954,460,878,114,059,572,021,313,983,710,518,262,
512,839,023,067,229,407,606,210,388,269,337,171,108,570,159,548,756,906,760,
756,357,255,507,616,814,409,547,073,474,854,843,867,877,470,534,112,682,009,
937,173,045,942,951,255,339,069,014,504,883,993,836,812,320,522,600,911,936,
055,130,738,458,908,589,694,093,493,415,679,814,988,230,544,025,482,080,518,
480,977,857,277,889,214,838,286,379,630,398,388,250,469,471,101,429,699,023,
468,335,498,124,644,232,059,437,478,627,144,750,788,087,809,187,574,097,818,
315,459,489,211,089,026,536,875,869,480,951,154,097,047,806,713,767,239,976,
297,752,836,877,999,127,341,356,221,678,280,291,762,264,497,642,044,813,959,
929,729,755,717,652,675,041,042,529,174,048,637,458,112,973,569,528,915,984,
971,287,010,501,860,495,848,590,616,962,480,268,404,377,067,189,057,318,970,
613,804,543,240,068,055,225,541,142,433,199,595,563,699,131,577,817,739,380,
913,685,208,976,906,999,942,512,498,727,914,541,301,272,390,374,550,259,026,
915,501,602,717,693,081,872,690,077,127,796,575,522,748,628,231,725,115,344,
474,244,283,058,181,024,229,515,645,304,475,440,425,258,354,575,945,079,321,
767,664,394,352,988,333,673,273,222,543,861,075,992,039,324,592,319,141,657,
069,282,943,805,769,378,646,778,873,381,426,679,901,878,085,400,743,216,688,
140,184,562,109,773,243,236,825,704,806,412,768,818,882,453,551,297,227,626,
568,641,519,506,633,272,583,081,424,548,901,855,420,413,239,204,639,748,670,
776,215,278,788,849,114,530,243,361,786,770,936,427,702,297,958,054,714,579,
605,193,820,953,465,828,877,746,159,866,481,033,838,333,851,690,957,531,649,
152,346,173,987,172,477,062,923,700,708,197,492,603,712,810,827,751,835,931,
431,471,095,368,705,106,726,020,008,390,645,206,119,086,051,636,374,867,844,
872,989,903,088,057,653,332,603,838,778,027,518,779,028,249,858,034,098,728,
466,011,351,552,460,325,926,745,826,905,355,068,238,456,190,755,109,710,605,
252,770,692,111,638,196,419,236,916,879,255,404,991,239,474,187,234,132,688,
357,788,585,907,026,534,597,938,594,246,896,556,868,033,373,962,552,390,747,
623,445,605,290,787,626,429,782,121,365,439,192,805,562,949,978,874,864,195,
048,332,052,252,055,616,690,559,944,302,781,627,672,928,120,085,717,010,719,
307,153,673,233,559,373,016,719,742,349,250,262,124,424,288,140,316,549,393,
973,578,750,264,218,528,164,863,816,364,936,497,549,563,123,399,732,945,213,
411,496,332,962,505,112,865,992,657,134,072,085,225,484,258,999,912,475,442,
161,204,673,837,609,879,299,062,229,715,385,416,019,453,874,541,254,207,934,
566,546,007,313,058,855,236,258,689,327,255,864,978,877,100,409,955,375,602,
831,146,321,226,608,705,687,767,818,938,545,375,131,828,460,635,781,655,997,
535,564,143,389,624,782,969,096,935,820,386,470,228,363,068,968,457,970,423,
343,659,621,532,326,780,500,237,712,765,454,414,441,622,456,109,284,093,812,
228,381,131,336,243,959,023,010,433,215,638,767,301,230,416,178,955,949,431,
416,992,452,109,777,391,918,241,445,345,028,954,002,177,195,861,131,451,823,
093,559,112,492,377,822,908,248,055,732,329,952,162,018,656,122,288,403,565,
299,698,909,072,823,642,534,203,575,805,888,416,581,705,575,024,682,247,859,
346,910,961,918,452,532,207,761,881,011,749,196,024,158,119,087,250,800,186,
058,359,801,750,600,338,364,226,390,254,882,320,465,862,364,577,330,273,408,
326,505,839,248,248,300,225,801,651,722,593,293,241,910,804,552,565,156,209,
906,470,845,039,179,993,167,947,594,421,390,970,295,420,783,760,168,783,096,
242,562,642,437,680,236,191,514,719,092,211,091,840,987,127,467,034,145,814,
627,265,386,947,551,610,546,739,894,927,585,557,499,453,807,875,840,944,695,
746,711,182,610,855,372,848,804,321,073,211,649,518,114,208,170,677,002,709,
014,116,179,352,541,198,400,037,843,058,721,958,781,495,676,793,662,393,107,
981,171,428,363,458,837,084,165,573,073,165,177,632,300,261,049,775,759,270,
251,017,538,747,767,895,319,483,194,422,659,336,160,810,166,545,393,239,670,
016,841,599,483,381,012,236,340,064,894,600,239,279,364,038,442,661,021,262,
584,681,370,556,781,978,038,273,048,817,618,199,524,829,927,819,010,246,009,
826,760,457,699,668,714,441,946,610,291,645,322,385,620,021,435,815,740,971,
787,856,100,320,036,567,898,098,583,318,636,251,112,111,898,278,192,517,634,
091,068,412,309,200,469,731,107,911,066,869,280,344,859,956,216,188,175,495,
126,234,149,625,377,199,295,486,949,850,222,662,641,191,030,588,386,590,596,
980,068,799,402,140,589,620,018,641,220,376,677,756,573,796,705,368,246,975,
197,621,381,526,656,415,944,303,840,635,600,505,449,391,910,500,174,785,854,
951,029,735,375,536,130,789,551,006,530,837,634,877,667,564,668,923,808,457,
596,528,655,297,009,851,758,456,755,189,036,003,071,320,295,512,769,403,804,
774,524,836,507,556,485,534,948,120,248,463,444,621,282,169,021,382,440,970,
560,055,923,975,983,692,685,562,168,490,341,672,020,341,275,976,185,904,571,
583,244,333,059,006,446,584,846,341,749,417,451,334,100,232,684,031,936,558,
334,249,684,790,877,024,681,842,378,409,877,989,284,687,758,570,987,429,691,
043,292,394,997,693,305,176,009,401,952,659,046,117,663,486,393,906,208,369,
962,626,663,744,394,050,986,434,373,848,394,700,626,569,227,148,924,477,074,
570,220,091,911,988,786,091,127,621,617,200,113,050,697,264,250,492,818,168,
826,365,150,364,557,901,825,088,926,820,870,143,112,255,879,821,395,645,903,
943,852,103,940,294,477,722,097,136,761,482,680,799,973,474,306,103,712,225,
948,527,854,121,885,728,699,494,892,090,362,775,430,228,435,379,274,310,093,
357,052,602,264,799,223,078,296,880,780,898,177,734,679,504,532,657,629,910,
018,574,646,699,100,591,807,084,728,774,312,598,333,987,044,396,162,288,598,
806,034,230,745,595,826,632,735,491,055,811,319,658,042,333,688,017,628,058,
207,465,042,173,177,205,201,778,242,976,188,123,379,021,129,797,153,731,783,
048,204,726,161,156,864,766,431,684,844,985,205,407,354,409,519,041,938,456,
158,145,331,703,406,133,819,699,483,517,559,948,984,792,386,236,578,556,469,
095,098,896,229,968,049,804,275,024,216,403,649,904,364,025,507,910,083,728,
965,893,877,358,060,176,174,706,498,381,981,566,517,691,163,979,131,214,107,
089,487,937,745,484,517,084,769,236,964,718,118,651,541,017,850,855,198,053,
567,797,166,727,416,721,059,247,932,522,811,097,907,544,521,387,970,997,667,
924,018,797,337,907,855,122,813,275,768,948,445,925,379,183,772,674,021,334,
483,841,704,762,109,519,766,682,747,648,867,647,571,259,849,123,480,302,043,
645,674,080,505,367,127,204,226,780,366,634,180,153,065,198,847,267,031,262,
763,190,659,781,861,576,493,174,821,011,578,234,398,376,662,274,819,361,830,
581,123,920,446,035,066,904,664,791,256,288,475,216,382,596,152,455,539,131,
145,054,570,733,852,014,089,122,759,103,707,861,496,094,865,452,422,047,672,
431,752,963,331,204,668,976,811,078,214,300,004,822,078,921,524,153,398,947,
388,614,024,844,409,534,992,550,728,336,857,289,503,362,298,162,455,459,924,
137,722,956,600,581,527,634,765,558,732,073,336,594,096,252,185,278,392,873,
631,216,389,735,732,302,720,826,753,580,883,681,747,230,311,081,214,191,595,
158,984,237,726,267,116,272,093,277,972,219,240,553,601,066,221,854,077,509,
162,075,982,558,578,692,416,870,507,687,501,476,399,511,800,888,343,577,507,
966,751,605,752,761,217,409,949,137,820,492,364,664,239,470,679,819,183,313,
437,930,479,159,598,776,723,843,287,331,513,081,717,526,603,035,947,172,838,
500,017,599,165,701,412,326,188,524,745,394,891,313,004,806,964,441,717,747,
368,649,673,498,316,741,590,345,802,538,016,687,742,311,636,347,847,630,889,
637,291,797,980,380,922,297,025,321,728,241,637,095,237,885,297,569,227,998,
064,367,823,687,756,290,754,288,479,017,456,842,746,699,488,309,396,091,111,
726,175,711,217,364,924,254,785,305,237,323,127,073,613,357,357,655,165,255,
790,005,284,486,805,663,400,120,074,710,138,828,403,793,241,764,900,483,480,
232,405,092,172,403,831,652,737,885,963,376,462,833,572,827,081,607,736,363,
338,378,100,519,088,434,442,778,893,940,831,133,668,964,727,806,751,703,183,
494,690,593,267,604,106,946,616,989,763,957,865,578,709,358,963,442,139,913,
863,513,301,497,477,696,119,307,534,017,661,097,894,106,565,619,957,925,309,
995,096,534,351,107,800,431,693,489,915,132,239,570,281,896,731,787,489,910,
921,760,774,171,571,300,412,144,163,306,164,991,252,210,065,727,016,783,780,
410,765,541,272,727,407,047,891,488,074,132,681,621,615,961,504,769,612,771,
745,705,951,712,825,729,695,697,106,749,815,798,289,087,377,734,797,463,854,
822,923,177,175,226,627,947,009,639,565,099,368,439,187,674,738,164,455,735,
669,350,724,486,142,148,306,775,037,861,812,781,600,449,240,340,698,063,924,
727,465,948,296,361,145,167,251,130,156,397,863,991,850,262,500,785,918,293,
668,209,828,683,830,363,944,115,573,353,788,532,700,360,089,912,579,792,477,
116,322,510,582,732,928,210,729,525,023,566,991,698,442,714,892,375,402,466,
201,560,408,791,097,425,753,518,430,257,350,866,504,079,865,816,478,820,739,
514,291,690,435,638,175,771,349,844,036,376,830,790,752,309,858,545,141,554,
973,758,330,823,955,303,132,268,407,711,325,151,831,797,573,837,967,563,382,
978,251,325,185,997,356,882,745,605,111,940,108,820,343,417,404,505,327,728,
921,343,052,515,061,998,942,717,597,385,678,877,962,101,625,019,500,132,392,
636,566,071,230,092,468,300,144,059,395,687,955,516,735,822,959,104,813,317,
675,275,587,929,941,804,932,668,728,046,584,936,539,226,534,807,743,951,462,
690,548,455,802,431,187,687,981,866,291,618,533,950,022,712,958,203,826,062,
843,079,200,095,225,408,482,752,179,542,978,254,113,812,498,705,265,046,107,
526,006,964,682,673,160,724,501,965,755,366,551,374,860,447,143,893,981,441,
176,256,208,345,036,970,609,269,418,221,186,753,128,901,868,086,458,300,755,
983,973,990,450,992,091,570,132,854,732,058,417,105,840,984,125,152,611,158,
205,887,654,233,898,178,127,425,202,735,453,118,266,852,586,265,514,753,252,
758,963,079,434,653,711,991,312,320,123,192,203,885,324,761,065,375,883,934,
078,228,527,416,920,121,152,313,247,758,573,512,768,589,890,640,206,967,857,
996,579,258,697,090,063,907,195,160,451,165,773,221,095,138,285,121,352,029,
034,723,352,724,359,907,046,591,858,994,058,650,858,649,981,691,816,236,624,
650,101,806,794,098,618,965,322,365,482,103,771,960,479,973,656,598,406,007,
308,107,519,681,223,981,535,845,081,453,237,863,561,192,995,403,881,725,700,
011,832,297,864,704,745,975,335,865,628,479,734,087,145,908,992,176,018,445,
030,180,846,776,401,089,442,079,923,707,630,824,414,216,383,294,180,300,661,
809,929,509,458,433,984,821,071,426,163,079,575,127,261,919,169,760,929,817,
399,131,771,892,344,681,015,391,102,279,748,524,151,990,738,997,732,082,048,
113,741,542,457,743,546,505,689,550,834,720,516,945,881,376,187,914,291,486,
785,075,587,431,694,241,061,970,910,964,406,299,349,488,486,773,847,746,923,
525,426,123,601,984,703,287,668,816,158,549,896,331,612,264,208,552,630,437,
895,833,942,625,842,004,162,832,515,217,325,180,014,475,061,865,304,380,267,
420,804,532,362,274,772,348,053,967,042,567,961,867,724,162,673,554,673,095,
531,912,411,177,946,569,494,123,993,149,038,887,455,083,875,423,109,801,804,
177,800,946,325,345,287,576,055,694,285,958,575,541,156,247,860,474,377,880,
958,802,229,250,093,105,127,016,806,274,342,851,740,048,181,640,404,390,701,
642,395,776,330,092,733,312,940,958,689,246,600,322,123,037,159,360,574,093,
262,997,924,796,951,398,208,271,693,434,506,273,085,107,407,728,946,155,365,
062,161,591,608,894,814,021,254,620,219,006,521,439,444,473,115,590,260,962,
132,241,565,155,237,674,862,914,111,750,257,964,765,202,842,367,176,927,690,
852,646,852,255,255,201,340,526,957,813,981,227,751,220,155,789,634,084,407,
865,995,846,743,650,978,617,071,380,730,510,994,591,133,971,493,931,261,451,
415,392,777,658,799,976,240,708,851,571,311,565,608,237,684,231,056,185,914,
243,243,993,652,090,075,707,263,921,853,319,132,690,534,955,122,422,952,911,
765,760,946,976,004,399,814,491,706,062,614,164,992,747,352,960,764,507,840,
721,746,499,043,199,546,388,476,252,102,574,218,853,686,141,131,581,520,119,
122,797,873,807,477,370,297,019,758,296,581,374,346,567,484,536,447,783,449,
974,657,799,782,741,193,492,472,502,020,184,542,271,318,215,105,710,562,279,
627,741,922,049,717,309,479,152,584,715,218,486,749,554,595,566,563,019,878,
755,939,550,414,226,632,386,977,078,899,740,892,695,850,990,343,361,262,193,
483,375,173,422,195,497,123,281,965,587,759,020,772,147,016,439,239,209,488,
968,388,699,617,085,223,131,759,281,136,307,222,532,271,588,641,469,716,244,
766,917,320,780,050,560,580,610,480,565,209,196,294,721,247,844,902,110,138,
031,234,397,894,312,009,492,400,490,249,353,220,365,306,390,521,224,533,696,
005,415,650,685,550,496,781,534,700,241,202,343,039,551,056,541,169,268,859,
824,933,287,768,656,117,457,217,608,285,912,910,701,998,801,216,542,378,584,
485,119,281,406,449,328,920,792,446,907,750,449,824,587,303,370,319,482,213,
625,221,285,100,326,377,061,001,065,926,851,147,383,938,549,880,603,590,421,
785,845,765,861,839,282,081,138,362,775,226,324,578,085,884,282,074,865,540,
084,859,240,586,924,157,375,767,079,525,209,317,289,803,645,821,426,702,774,
863,207,553,690,774,847,202,258,589,477,122,570,412,210,683,872,747,837,969,
879,928,196,813,905,719,903,518,356,317,747,426,976,468,515,043,521,872,447,
925,605,916,903,433,275,569,493,577,087,790,013,036,767,698,124,498,758,673,
582,674,540,215,970,282,914,517,826,107,275,342,104,745,708,882,434,721,678,
652,298,282,978,744,267,749,369,714,946,382,893,167,807,311,965,965,251,503,
276,899,301,642,718,656,412,600,429,060,872,603,978,701,873,450,740,617,459,
911,886,832,129,026,726,453,534,014,225,128,103,999,999,246,538,276,260,565,
496,079,035,084,050,202,554,001,334,364,417,515,385,176,702,794,198,958,535,
032,142,530,994,492,718,342,054,472,196,687,280,643,912,704,723,565,682,062,
206,361,728,851,613,026,567,900,241,155,055,414,902,328,973,050,178,888,609,
996,596,331,907,072,575,697,203,109,332,061,792,923,476,082,405,400,515,083,
364,656,779,273,113,414,196,652,280,071,155,274,174,283,124,752,866,299,796,
947,308,642,585,144,975,665,003,529,917,105,742,394,526,287,532,346,966,043,
215,183,064,970,304,644,821,096,462,902,952,837,244,663,594,340,349,902,225,
829,539,165,251,591,823,947,114,844,073,259,235,416,914,793,287,968,888,388,
968,842,277,591,691,382,594,443,875,900,166,605,151,119,097,098,964,066,796,
400,242,480,231,509,443,413,037,920,993,321,230,547,847,936,306,809,669,658,
917,081,175,975,420,612,254,654,551,388,370,426,217,576,025,770,797,706,448,
076,930,011,151,499,296,019,699,181,802,015,778,520,815,612,517,729,520,539,
544,473,713,287,519,895,727,822,853,811,923,135,137,815,415,467,515,057,677,
412,074,447,807,488,721,610,563,713,467,942,308,321,652,800,141,499,732,715,
167,761,177,774,955,603,561,526,287,237,428,217,655,520,965,803,825,412,939,
562,810,410,025,714,364,549,571,809,149,617,777,422,961,531,520,591,040,486,
563,025,461,821,518,631,735,721,135,727,130,095,510,091,581,988,054,664,648,
853,494,519,365,109,314,037,597,646,040,394,250,870,626,748,440,003,353,283,
653,480,754,021,426,616,911,439,106,392,184,277,604,127,958,884,976,685,800,
240,896,991,850,317,015,492,915,421,796,142,295,440,318,894,411,575,999,385,
354,750,499,054,938,851,300,391,255,738,602,191,615,370,433,442,670,945,772,
051,180,456,976,303,677,058,203,652,016,605,292,104,441,797,040,188,086,089,
449,333,646,202,407,308,677,860,422,232,126,576,024,543,808,172,315,524,099,
416,786,684,321,024,250,794,795,546,964,386,013,047,129,792,376,693,691,396,
752,564,999,149,810,215,125,185,406,995,974,837,456,115,745,572,238,542,019,
065,862,942,974,058,562,562,826,859,820,079,035,223,294,842,788,485,427,183,
337,484,739,782,917,403,517,851,663,859,782,605,238,615,301,303,714,749,263,
624,766,801,953,262,110,724,509,486,793,943,728,935,264,078,784,604,414,873,
999,799,480,441,071,235,428,312,592,755,413,059,735,213,084,771,624,275,019,
013,183,714,893,783,803,534,803,113,685,464,543,953,490,525,095,355,952,546,
423,570,186,205,876,135,937,181,387,960,024,515,057,228,904,555,077,074,883,
965,799,380,124,858,726,060,068,558,224,811,771,698,485,158,117,225,806,159,
276,538,343,050,120,452,936,688,124,728,697,222,862,768,696,380,262,897,079,
875,806,394,961,318,465,211,628,096,458,071,864,744,768,016,319,739,219,427,
762,213,525,078,919,468,402,912,830,489,081,675,409,878,142,650,947,015,371,
386,249,063,966,333,589,247,172,280,170,547,036,687,795,627,544,107,916,459,
656,332,609,219,624,090,704,241,036,628,922,976,853,037,558,488,023,529,339,
047,347,242,020,770,666,256,825,292,290,969,753,010,220,836,737,528,943,850,
193,851,438,245,887,336,750,926,603,287,857,678,942,665,097,583,574,367,867,
464,815,178,732,968,886,404,452,510,282,205,622,119,853,581,771,231,556,867,
322,700,587,665,032,858,398,464,822,487,703,041,798,971,003,940,478,546,251,
068,512,212,610,155,889,192,450,564,372,882,596,420,263,816,462,623,585,843,
530,476,545,404,762,532,633,256,098,331,121,435,479,169,986,650,365,058,726,
706,485,343,065,704,451,935,386,310,187,418,970,487,896,396,931,131,971,246,
154,960,620,281,365,960,963,889,009,328,825,237,891,468,069,571,935,352,908,
323,355,879,562,810,751,325,517,212,319,711,305,317,454,514,128,271,320,188,
572,083,498,637,883,196,253,053,129,955,813,450,477,796,727,033,939,766,852,
815,608,977,353,961,819,690,419,997,746,275,344,079,198,040,072,490,729,784,
769,678,782,984,740,468,776,166,615,850,943,351,228,395,988,141,186,038,257,
129,683,232,165,384,812,850,558,748,219,906,836,087,745,487,148,685,415,112,
155,047,555,993,229,587,505,284,354,552,764,951,836,348,909,271,664,464,218,
474,614,861,014,789,764,404,407,407,206,837,543,342,121,686,436,764,848,998,
123,687,880,701,309,288,863,473,535,203,919,693,180,235,166,881,763,801,082,
072,183,777,454,596,053,218,411,316,446,848,472,860,716,488,705,533,884,739,
107,214,035,092,965,770,666,714,436,695,009,972,201,885,093,231,345,294,047,
859,732,905,954,632,793,042,724,266,401,143,199,764,676,645,786,125,576,243,
066,603,521,055,070,734,995,638,720,619,278,293,947,475,609,770,882,731,227,
917,870,628,675,503,344,513,819,714,388,495,925,673,943,015,075,311,316,628,
684,722,017,990,179,398,977,948,194,772,924,168,953,271,606,238,876,734,535,
051,815,115,402,495,813,021,642,392,842,705,672,216,877,938,196,652,379,124,
698,884,205,267,322,205,618,964,713,176,456,727,647,521,749,094,219,282,153,
546,225,074,124,025,777,529,543,252,742,843,233,964,851,129,804,752,345,832,
325,521,864,974,574,945,621,535,961,248,880,294,328,047,202,507,260,429,538,
712,125,338,362,356,929,520,710,398,358,846,822,375,650,045,935,383,198,082,
515,714,874,019,832,484,370,853,141,130,899,295,428,209,686,221,858,152,595,
515,376,084,102,801,344,683,430,937,348,419,584,217,939,656,013,627,562,395,
460,958,640,184,877,898,210,960,066,814,600,110,955,261,645,232,609,666,913,
391,103,227,378,984,892,701,308,866,445,333,338,715,336,925,396,201,442,346,
110,681,642,556,687,673,346,042,784,090,600,960,747,715,037,822,346,631,725,
063,437,993,607,361,115,691,892,275,976,525,860,245,351,059,335,065,204,671,
690,325,436,568,664,410,862,068,427,719,641,594,874,794,823,146,354,985,628,
002,189,018,625,148,008,461,995,999,938,234,519,585,932,514,811,501,063,422,
062,200,118,211,439,922,964,347,331,176,630,279,670,026,956,416,007,003,093,
312,186,783,653,389,459,231,753,908,453,828,739,990,226,101,432,790,457,542,
532,261,957,223,615,943,010,869,660,303,314,542,148,051,855,062,218,775,361,
743,705,647,530,100,518,396,241,024,836,079,552,354,096,563,774,366,729,955,
678,044,951,722,843,778,568,995,677,793,073,272,336,635,600,050,665,514,538,
265,751,382,662,034,441,686,082,768,744,439,383,738,295,660,998,429,801,534,
931,845,429,172,083,915,825,094,747,569,089,795,232,001,469,720,045,479,111,
569,043,574,130,401,097,333,357,072,260,307,605,739,918,604,606,727,282,144,
234,693,806,241,496,937,304,103,839,400,012,151,566,359,398,359,890,092,897,
467,553,540,529,178,699,843,186,632,589,592,452,878,743,969,393,316,346,770,
727,319,074,638,199,985,228,438,808,627,360,653,373,538,823,544,002,808,088,
215,980,615,733,973,528,864,130,083,018,414,425,839,559,020,049,486,512,934,
527,016,849,373,876,694,085,297,652,078,159,086,895,402,736,465,159,987,907,
208,208,560,091,373,952,687,900,004,966,236,238,049,676,209,800,165,569,884,
872,457,836,745,464,838,108,703,604,539,309,472,739,958,351,399,963,649,209,
847,490,019,145,245,415,349,630,924,298,185,406,423,846,673,543,670,387,341,
912,128,398,930,589,765,441,746,305,471,536,975,933,097,375,805,352,026,122,
587,980,342,272,386,140,429,682,101,014,121,661,483,423,120,573,110,143,461,
384,190,386,891,883,685,257,081,637,235,900,878,841,234,494,084,598,875,638,
444,451,550,527,729,840,133,623,219,840,393,898,373,494,382,940,887,859,831,
304,362,359,714,549,613,038,381,524,531,607,533,164,853,862,959,115,607,085,
363,591,835,249,625,722,605,593,121,694,645,890,821,738,811,316,717,672,426,
257,327,161,737,500,897,194,716,054,462,389,892,765,948,455,209,794,527,447,
677,703,672,572,242,385,834,946,625,867,703,187,898,800,646,410,919,430,446,
953,127,875,143,874,453,884,921,866,306,596,653,444,068,285,854,691,177,233,
860,515,307,715,736,666,672,792,520,015,851,528,097,640,575,102,058,795,044,
687,276,983,441,866,526,485,828,816,300,562,923,895,750,739,529,651,941,189,
562,916,650,957,611,699,127,621,869,938,977,388,330,685,269,074,126,145,003,
270,117,098,511,934,224,373,081,082,951,084,438,845,576,592,578,421,178,380,
657,259,839,412,823,216,618,595,793,952,381,103,944,751,141,693,196,132,592,
272,295,592,524,819,775,844,141,966,508,044,935,189,410,640,256,116,440,822,
293,295,609,967,634,795,994,550,182,262,849,630,705,299,919,612,226,398,082,
460,435,735,210,797,718,418,524,179,613,171,674,156,784,924,227,717,934,874,
664,075,173,027,323,799,031,276,525,230,732,646,895,581,798,454,103,498,886,
197,431,030,964,097,784,834,164,266,381,102,047,769,774,088,478,300,394,919,
964,217,590,769,368,566,256,732,402,036,003,649,187,649,590,893,371,709,135,
267,509,421,861,713,215,782,880,325,222,619,519,003,293,201,268,010,819,209,
781,595,689,938,035,677,787,441,825,607,946,959,996,591,510,266,447,678,894,
456,565,065,179,281,180,594,914,534,878,021,454,905,016,875,878,130,943,453,
389,073,410,582,181,147,274,764,255,356,264,964,973,931,984,458,098,640,004,
062,395,588,204,138,510,995,311,919,299,657,560,579,669,403,460,273,899,878,
492,953,334,949,235,822,942,080,224,336,772,410,625,716,217,361,507,332,480,
863,953,297,331,887,289,605,349,355,609,435,293,888,489,549,534,282,935,715,
885,063,632,581,616,142,771,496,970,739,810,987,513,577,553,919,788,717,222,
453,269,438,632,073,377,543,725,311,438,311,786,320,745,184,290,409,522,623,
542,612,108,756,184,666,481,330,594,155,368,964,495,679,817,158,960,159,315,
041,621,074,199,907,937,472,361,439,405,364,355,963,106,480,784,385,284,254,
546,352,136,494,098,522,080,445,640,780,103,602,545,945,405,767,213,790,327,
354,825,988,264,721,069,436,503,799,756,724,109,477,577,176,293,164,697,714,
216,916,672,094,178,355,695,204,366,035,983,607,140,470,780,672,950,807,070,
626,090,474,281,453,528,629,643,701,653,425,520,474,174,915,246,516,845,834,
656,344,357,593,259,871,592,476,394,693,256,004,805,130,508,753,244,074,459,
122,961,935,827,406,489,180,147,274,646,577,704,250,648,097,365,130,430,952,
692,647,809,974,431,641,064,469,444,598,659,187,225,404,526,453,433,630,958,
167,631,363,189,309,095,352,038,737,863,009,853,334,101,697,611,613,378,455,
838,618,826,832,911,664,295,847,577,888,445,347,047,337,858,679,437,422,859,
568,640,279,672,464,391,713,665,813,405,442,844,734,257,498,802,825,191,802,
495,634,088,526,917,116,590,071,563,400,798,823,727,757,055,169,101,915,292,
110,618,922,240,086,032,956,895,505,278,837,536,887,110,971,454,538,649,752,
924,572,905,865,614,367,791,772,576,593,385,822,901,673,835,686,480,248,577,
616,845,072,839,076,344,637,395,546,190,235,706,905,365,268,484,695,338,836,
324,832,009,860,269,257,327,686,965,378,962,122,116,182,733,118,165,306,825,
046,305,013,407,934,836,023,755,614,789,328,150,887,043,984,382,168,710,104,
979,081,635,932,953,778,445,751,901,531,183,140,218,158,268,388,098,128,930,
720,631,599,539,757,852,243,979,035,852,110,240,418,890,625,921,942,478,332,
969,560,462,170,334,275,634,118,847,824,408,583,941,660,052,590,558,866,726,
909,089,570,672,604,059,340,670,121,567,950,403,484,564,747,799,204,291,037,
673,823,593,083,940,773,102,602,278,105,424,773,525,422,142,708,283,245,478,
349,469,403,923,445,728,059,242,481,605,912,244,472,141,628,636,419,552,220,
677,241,132,372,681,364,898,233,613,126,997,028,106,345,331,850,359,472,603,
834,526,009,844,462,342,895,577,906,439,601,128,634,102,900,252,488,219,301,
912,598,493,407,168,418,895,107,889,132,708,872,860,217,392,373,918,916,610,
413,833,656,221,675,806,426,135,815,991,465,530,986,114,791,416,811,256,049,
387,205,728,860,560,159,896,321,051,521,696,800,590,742,271,710,439,780,356,
279,981,774,439,174,911,255,173,681,390,160,962,578,194,602,640,265,233,063,
372,122,546,960,376,477,212,879,987,789,193,071,688,522,177,990,171,795,604,
645,768,869,799,816,451,300,378,318,516,324,276,690,055,174,880,048,315,634,
880,452,574,776,832,693,307,745,299,284,519,233,929,015,914,366,941,729,404,
941,872,962,922,316,692,165,646,983,051,755,125,635,007,933,006,187,569,995,
396,691,231,429,359,250,383,475,059,095,838,690,401,145,818,950,196,800,923,
369,591,518,135,379,810,113,101,410,788,106,889,639,143,610,918,778,031,499,
201,177,112,800,712,176,403,796,746,031,370,903,933,679,984,329,950,502,061,
677,370,413,474,917,346,316,539,795,114,668,188,941,272,344,180,478,987,524,
716,830,555,948,982,296,247,364,293,662,834,738,501,567,599,719,254,710,257,
903,929,976,161,419,133,358,216,834,066,229,175,414,642,780,930,240,182,774,
024,375,974,881,484,669,562,538,743,377,067,424,127,597,252,678,122,832,062,
735,498,643,095,102,010,541,131,271,371,524,908,134,108,097,573,563,448,690,
502,891,590,269,395,263,049,368,577,680,022,000,882,024,588,900,678,272,209,
776,737,724,478,465,792,250,538,146,359,418,142,757,434,848,754,640,100,562,
327,689,407,756,272,706,255,907,162,194,909,981,651,124,944,421,972,990,930,
770,118,420,392,362,728,963,741,339,132,604,705,472,625,725,745,931,025,824,
343,046,105,714,686,928,249,213,219,193,360,882,284,461,925,063,342,813,625,
138,763,272,015,705,525,280,558,391,626,385,497,780,702,359,773,095,306,243,
544,489,712,625,085,103,638,774,468,030,601,918,530,320,875,933,368,582,794,
596,864,405,756,851,268,008,502,368,010,946,535,499,927,431,228,757,337,307,
926,078,133,568,211,326,403,942,086,765,853,457,110,381,949,885,057,611,748,
075,938,209,885,521,008,264,497,694,328,132,102,130,242,634,563,499,676,475,
136,989,913,169,738,358,586,621,923,357,576,590,177,960,283,050,436,379,397,
986,378,330,991,500,790,397,653,495,566,846,464,005,660,703,421,428,162,881,
107,693,610,021,315,496,818,390,247,010,643,126,520,540,047,676,632,024,676,
742,592,039,267,732,165,849,211,803,387,672,671,713,045,404,381,168,147,247,
921,839,102,112,972,190,087,877,061,971,561,989,642,219,517,389,453,705,425,
463,678,071,856,306,188,053,024,542,418,416,659,084,789,397,127,692,775,695,
703,646,103,657,603,133,375,181,911,054,470,180,885,087,276,862,766,341,350,
106,806,330,834,968,060,770,469,557,514,880,492,785,240,794,538,071,323,931,
634,263,491,357,374,729,647,517,244,817,866,068,970,321,782,011,054,548,831,
994,554,078,904,380,936,163,522,835,471,182,323,682,129,098,050,733,074,091,
968,267,250,298,437,118,657,846,000,567,258,291,670,020,804,808,346,682,847,
989,686,912,438,222,413,341,593,375,006,270,905,046,936,369,183,514,542,804,
393,370,959,616,438,575,713,428,814,202,969,127,667,072,113,418,140,404,235,
822,951,360,341,858,236,198,654,732,749,822,528,729,830,903,312,769,534,438,
405,127,995,568,152,266,381,273,412,194,861,969,664,198,685,695,042,867,233,
797,278,089,639,087,544,725,225,788,235,221,326,305,972,931,299,865,396,727,
674,778,413,965,775,044,208,297,564,144,413,137,422,265,054,348,926,919,686,
507,470,923,440,584,372,199,909,163,667,465,935,080,748,288,943,380,215,787,
395,798,816,156,728,060,470,879,246,845,641,893,099,269,615,191,973,587,716,
371,536,255,159,569,077,394,670,954,406,464,837,632,717,821,084,480,771,596,
340,057,428,509,839,770,415,231,737,243,713,804,072,811,371,249,601,598,512,
414,138,518,513,967,690,623,749,225,037,682,751,202,186,770,255,082,455,644,
790,100,189,461,311,787,735,737,391,795,167,844,118,888,834,591,917,660,601,
515,339,667,590,997,777,972,288,525,328,122,580,379,089,188,127,410,508,236,
006,150,005,925,734,034,020,358,435,596,667,483,436,527,689,166,584,904,563,
834,965,863,479,103,616,711,158,623,111,005,129,764,305,936,292,705,888,165,
376,630,667,870,305,278,633,073,591,373,346,987,141,205,479,406,791,064,880,
117,594,701,541,118,742,939,909,901,830,710,409,348,782,477,280,575,440,077,
229,852,444,843,824,812,648,078,246,326,254,115,798,857,969,940,785,434,654,
471,319,473,876,580,265,253,878,535,203,876,612,374,232,495,195,941,847,884,
598,421,146,228,598,514,189,762,520,096,520,991,124,821,164,822,177,700,415,
902,644,823,039,402,528,643,553,275,074,071,771,780,002,596,941,791,416,972,
103,243,059,906,974,278,540,624,739,921,932,594,805,351,381,584,906,080,055,
082,885,248,157,466,949,831,562,338,352,314,092,458,688,921,856,201,820,004,
027,143,107,854,322,665,870,292,125,905,630,249,923,887,011,527,874,485,887,
611,130,831,442,827,111,727,273,864,007,479,773,739,965,035,699,906,126,716,
193,049,264,109,368,400,244,789,557,852,843,477,474,318,955,598,162,954,306,
171,814,279,436,808,740,256,365,280,877,737,169,575,573,367,606,336,269,006,
337,274,319,894,966,064,331,433,480,647,452,919,404,048,746,856,032,503,685,
202,880,253,351,411,416,038,453,402,872,512,743,949,103,932,774,134,505,910,
652,686,648,727,136,984,772,371,888,237,008,893,884,170,482,214,655,847,814,
691,958,181,366,525,273,681,919,425,754,243,244,033,663,927,379,978,942,163,
258,031,188,192,783,027,198,003,861,717,114,862,392,034,144,634,449,477,449,
503,848,903,085,584,799,686,686,197,071,218,190,613,882,727,870,691,861,075,
477,611,161,441,248,839,568,739,785,129,413,659,980,147,626,194,975,825,424,
335,049,962,938,736,827,241,237,850,162,730,949,024,750,048,931,326,232,590,
830,435,943,830,566,139,448,034,963,898,473,048,476,730,382,561,221,206,743,
664,374,302,425,275,479,946,808,498,579,785,073,139,262,479,928,589,757,272,
286,941,004,226,254,570,610,824,929,654,507,430,972,725,277,253,750,535,927,
294,635,458,365,346,904,821,523,244,947,573,918,477,883,845,768,291,027,615,
361,407,347,709,380,721,756,009,720,707,537,502,508,165,850,227,166,359,973,
625,200,489,297,104,049,369,136,702,051,280,445,951,906,241,447,535,804,407,
910,999,276,417,643,151,733,225,156,371,003,292,702,616,588,065,651,712,622,
217,540,681,822,418,872,651,145,291,507,186,602,980,561,047,604,244,551,383,
221,729,917,893,716,624,437,646,568,638,656,965,862,290,098,361,770,903,880,
416,162,406,404,390,121,653,810,071,303,455,201,574,044,099,983,448,244,567,
389,730,725,577,263,335,792,282,163,910,911,837,237,307,551,361,203,579,709,
593,838,986,038,787,208,536,711,031,011,289,623,243,625,577,276,159,828,599,
597,426,750,025,159,534,826,226,183,498,206,090,305,074,066,232,735,786,458,
872,502,877,455,216,504,359,875,181,346,038,739,042,799,026,073,999,179,452,
490,920,950,114,513,066,822,997,032,380,486,725,683,727,479,966,573,176,248,
936,458,743,581,706,555,668,915,706,921,430,992,217,445,015,493,261,274,182,
599,622,107,584,240,031,072,235,393,073,355,972,212,838,266,656,673,981,876,
315,933,698,376,674,381,945,424,619,557,470,459,828,117,343,479,732,079,571,
500,980,460,785,566,953,241,163,014,380,162,825,192,016,246,478,943,307,290,
343,911,879,513,294,505,237,113,732,249,641,439,094,943,949,484,083,412,455,
576,091,278,022,486,931,710,664,988,738,734,647,919,267,868,171,205,999,692,
311,749,700,740,633,264,098,679,199,373,301,623,559,050,759,281,971,266,522,
459,826,816,862,448,273,395,399,697,938,187,495,031,090,148,526,226,278,137,
861,495,407,046,425,211,602,529,695,976,236,495,372,946,790,487,986,448,165,
184,435,408,740,897,653,702,907,341,688,580,343,796,764,027,485,063,261,697,
451,149,719,905,217,929,241,674,171,578,294,373,572,849,173,480,663,642,407,
375,085,315,606,922,232,944,178,991,581,221,926,152,314,811,554,292,759,981,
967,183,822,980,807,152,929,039,805,241,579,962,019,406,501,994,413,404,026,
739,548,561,772,273,172,883,448,213,858,310,444,959,499,432,028,626,856,163,
278,900,171,670,458,671,105,708,047,467,446,302,866,036,950,921,668,119,314,
436,488,303,110,614,427,336,342,440,593,731,026,628,188,874,253,116,783,413,
407,888,337,803,562,150,317,727,716,404,401,211,558,745,561,813,500,460,871,
482,042,363,943,768,239,776,756,016,612,177,759,110,845,280,092,707,073,919,
431,696,500,838,176,027,091,760,453,489,156,698,872,318,386,480,436,173,014,
792,766,083,346,524,606,876,795,269,220,857,358,046,154,818,423,508,723,831,
387,926,198,027,562,284,342,134,581,973,914,277,527,339,386,480,283,000,097,
635,488,095,352,471,152,188,269,093,538,759,585,641,369,154,010,852,683,678,
291,385,169,373,193,519,709,487,041,035,693,915,248,310,357,649,648,691,502,
969,711,070,456,941,058,022,262,062,294,789,115,952,834,038,152,847,433,282,
746,771,547,911,533,809,614,666,464,273,016,395,004,731,411,498,120,766,518,
007,775,553,409,792,362,563,372,239,740,605,460,475,118,669,596,771,430,907,
709,768,952,086,697,877,272,213,055,119,098,856,879,227,924,783,696,820,353,
799,119,597,129,246,969,692,148,628,444,191,588,518,961,150,619,483,333,178,
794,148,811,171,234,940,709,739,864,502,951,941,654,750,956,627,737,884,931,
695,201,446,078,335,581,682,473,386,836,726,127,462,584,196,175,186,336,883,
454,903,946,115,672,712,625,501,971,150,031,344,291,424,953,199,615,043,852,
427,392,322,814,819,287,798,418,715,260,852,242,056,879,145,371,820,253,076,
030,159,414,940,743,738,568,973,041,961,926,796,903,115,739,422,706,937,330,
026,389,155,280,824,893,983,664,508,024,814,397,600,389,442,200,561,706,993,
614,580,919,572,815,111,390,732,912,911,607,413,601,306,467,131,083,857,133,
832,725,980,769,227,603,659,797,404,038,952,319,616,676,185,677,880,476,073,
171,614,290,346,829,267,622,311,266,252,494,040,215,448,586,814,877,926,558,
928,836,705,235,939,101,951,228,953,166,719,769,664,647,751,995,797,183,569,
076,259,815,941,444,779,964,003,969,425,980,704,670,976,971,580,765,014,583,
708,383,265,919,063,616,363,939,422,888,388,179,205,277,275,885,422,719,541,
034,999,400,513,521,134,692,382,504,162,234,459,827,921,802,992,264,435,151,
578,295,739,297,078,613,696,906,462,490,141,363,956,763,134,106,271,788,596,
856,571,141,626,088,821,302,301,292,138,849,446,295,600,693,126,776,501,152,
194,777,750,001,672,730,532,098,334,464,513,179,134,108,092,373,150,901,639,
651,535,234,630,406,865,066,473,161,242,974,899,415,207,879,893,997,590,734,
224,555,385,077,137,857,016,424,260,761,794,739,091,145,049,206,557,068,469,
049,116,959,572,873,593,914,231,439,910,371,444,174,187,975,378,543,418,189,
005,328,408,074,958,910,211,516,982,427,429,095,902,657,606,019,215,747,227,
898,717,802,626,588,793,580,208,994,359,682,778,171,403,981,830,635,363,118,
649,229,733,635,489,650,735,981,038,751,003,873,875,082,639,843,260,368,206,
592,582,888,009,854,601,583,596,578,194,924,963,198,117,450,063,326,038,729,
812,940,065,727,089,348,792,641,281,857,137,641,342,675,050,651,950,929,097,
770,492,278,742,779,180,790,134,620,161,868,956,226,085,789,378,295,191,743,
837,020,027,252,647,524,895,050,204,718,410,435,785,237,140,306,025,066,385,
051,744,384,898,175,676,093,925,592,384,652,403,658,997,968,102,888,067,241,
435,766,121,707,732,593,257,224,741,887,859,567,703,500,791,597,750,283,542,
588,977,322,898,474,636,068,453,757,263,713,066,090,190,090,513,484,772,301,
448,593,900,770,559,117,354,194,961,089,764,573,428,970,536,144,591,789,996,
717,685,832,007,861,391,605,424,434,939,879,462,345,056,847,644,420,476,619,
245,675,611,696,952,154,484,975,143,247,056,518,772,864,257,235,045,392,824,
630,042,367,973,277,786,215,304,415,947,285,063,712,699,816,822,858,559,875,
125,710,322,821,462,508,107,062,477,365,729,377,868,683,427,178,853,322,825,
877,597,593,429,875,731,071,255,689,430,213,605,883,378,055,825,736,135,186,
750,078,723,306,919,699,992,125,014,614,927,299,639,726,631,932,841,571,380,
226,709,386,378,371,494,768,315,277,600,668,548,682,775,426,939,430,361,074,
540,405,771,626,565,730,688,837,766,335,764,594,038,947,062,355,976,710,918,
362,567,080,991,139,255,911,516,072,462,967,596,193,730,737,341,894,343,197,
172,306,771,328,521,255,328,299,044,058,937,694,070,550,851,356,184,472,160,
897,268,028,510,660,070,625,021,929,681,481,033,572,579,200,009,998,848,845,
286,389,851,717,359,044,818,773,867,658,476,516,916,369,463,332,341,852,342,
469,083,008,713,253,904,751,988,364,442,853,816,802,891,954,162,233,516,934,
478,305,855,141,221,027,287,646,047,239,636,342,462,829,753,058,832,508,900,
295,207,920,542,441,730,331,418,813,682,324,801,755,533,102,546,666,357,034,
702,513,437,801,043,344,960,694,542,456,378,489,858,797,374,950,631,626,396,
529,240,439,653,766,039,234,027,216,486,830,440,109,888,958,098,445,915,719,
045,210,675,151,221,542,674,440,056,747,853,527,983,860,370,051,528,402,422,
199,665,601,562,184,507,872,961,622,071,729,454,449,433,389,632,425,825,820,
274,559,142,277,385,638,188,254,278,810,276,351,713,915,390,035,580,891,981,
922,055,364,299,686,266,034,189,178,208,655,825,814,340,679,752,623,882,266,
761,488,825,802,948,770,325,961,578,789,440,034,045,883,528,128,601,822,930,
766,726,925,859,981,800,242,765,399,851,046,152,629,243,473,016,686,247,105,
669,648,961,524,835,861,572,538,189,903,480,510,373,755,507,117,344,028,220,
958,214,929,012,758,200,479,293,635,172,028,281,231,783,633,145,539,165,568,
955,019,336,263,186,480,623,789,889,587,430,972,559,788,922,335,364,489,318,
979,962,899,591,416,803,718,806,049,113,351,676,983,364,486,977,762,724,170,
356,577,801,514,406,571,909,623,124,223,766,965,429,027,595,638,962,885,983,
101,400,833,863,144,824,598,361,529,605,115,584,616,729,965,605,858,291,044,
539,372,280,008,134,356,251,977,062,306,049,520,362,205,452,621,148,263,168,
323,917,798,392,724,104,534,248,501,619,533,632,248,060,594,678,477,941,905,
712,759,770,242,881,460,679,171,575,104,287,309,468,413,954,886,687,066,348,
005,605,566,680,423,853,841,951,414,197,149,695,619,971,331,564,727,803,802,
310,683,392,486,599,313,812,437,151,560,224,151,821,185,781,607,028,444,767,
689,467,013,791,608,231,284,064,108,211,821,692,826,096,151,307,363,681,159,
549,682,689,083,896,653,114,943,539,665,151,490,243,833,205,047,762,544,132,
851,659,306,430,017,847,341,427,063,394,555,589,837,266,812,819,980,299,858,
833,584,612,316,823,840,632,817,290,057,862,291,362,552,658,468,247,991,992,
593,520,928,625,743,934,451,751,669,123,650,855,975,872,230,543,664,752,092,
218,683,094,788,972,365,390,940,880,497,156,547,532,596,905,106,039,021,136,
568,236,633,850,634,892,804,307,543,806,904,788,321,782,973,416,672,875,862,
044,604,066,911,592,410,391,930,340,369,068,193,798,027,292,640,852,465,793,
083,486,538,088,011,186,581,548,326,118,193,479,788,423,675,632,309,582,333,
075,505,176,580,490,229,536,066,269,241,386,574,438,536,472,224,021,285,756,
038,166,837,764,071,185,103,528,145,736,463,205,675,728,216,953,434,820,881,
061,015,051,560,579,068,878,078,440,829,331,450,122,365,699,328,133,294,595,
414,006,986,372,992,533,991,677,935,171,972,308,472,505,536,234,227,204,061,
794,488,471,081,139,025,959,286,143,893,082,050,515,274,773,864,766,220,516,
605,764,553,949,524,440,804,306,737,601,388,106,925,396,279,793,395,691,440,
299,230,546,641,512,257,096,903,541,599,282,506,363,280,835,101,048,803,845,
494,340,177,619,437,046,526,204,191,836,516,463,597,498,384,334,547,537,112,
633,484,065,982,079,896,227,522,225,225,878,465,011,497,643,617,419,549,756,
631,300,828,257,775,154,266,519,005,470,213,683,463,384,796,309,715,710,535,
748,242,772,962,616,609,728,821,649,286,305,782,735,999,849,475,470,907,466,
706,543,184,498,380,193,714,069,439,847,108,350,894,037,811,517,488,548,413,
543,505,858,208,742,592,618,796,358,588,670,359,650,241,644,695,919,077,318,
975,441,621,375,949,138,565,145,375,646,510,018,425,858,926,269,874,496,190,
939,226,012,754,976,081,384,000,333,969,911,575,189,339,195,090,352,855,460,
905,561,398,964,838,144,588,932,037,228,293,355,971,553,353,971,287,693,870,
927,976,986,957,100,338,328,817,858,542,788,807,588,125,916,375,321,298,276,
107,438,291,847,346,757,996,061,637,151,574,317,502,318,806,320,831,408,214,
013,079,157,115,590,518,617,539,053,472,162,332,745,237,900,665,474,727,686,
522,106,540,915,442,518,206,419,691,509,233,613,698,905,740,228,373,254,401,
987,524,112,348,097,927,861,596,305,462,137,720,392,620,715,854,964,335,914,
618,356,770,861,807,713,623,424,926,606,536,533,424,603,724,856,853,470,154,
013,788,375,356,964,156,336,551,357,481,612,522,352,121,528,266,681,367,693,
454,530,912,445,052,673,918,224,928,317,051,222,318,646,681,970,469,785,171,
787,559,373,931,648,850,091,900,072,540,320,679,243,909,139,579,443,053,211,
134,943,731,894,346,564,653,568,887,508,869,701,565,583,519,615,485,293,509,
149,794,229,916,144,567,595,610,777,785,960,761,685,741,911,486,213,191,242,
684,361,334,002,054,224,668,678,032,979,037,659,306,819,305,857,281,076,163,
164,031,704,255,303,633,735,491,123,142,976,722,389,133,466,405,268,775,530,
715,856,233,968,314,996,584,948,668,248,609,388,763,044,051,967,522,879,512,
835,970,900,197,571,795,768,983,267,252,256,798,088,178,643,501,846,203,408,
782,303,350,542,378,447,213,763,022,144,412,954,906,443,573,345,870,934,898,
802,093,926,977,549,241,638,707,189,757,365,596,552,364,394,697,124,969,844,
798,030,819,259,613,682,278,985,865,593,816,306,078,567,099,926,968,565,093,
597,520,328,821,797,649,925,713,484,502,834,601,230,768,047,366,513,649,152,
347,778,855,150,417,982,416,324,958,679,346,557,329,667,039,788,237,831,670,
820,460,949,540,717,400,827,767,659,353,775,901,086,077,211,482,323,544,534,
852,994,983,742,903,674,490,649,265,693,597,843,922,855,208,472,602,892,855,
259,620,957,001,536,986,517,756,632,171,133,385,670,428,644,790,794,344,324,
720,644,589,032,828,432,028,291,652,240,052,835,491,370,177,423,602,787,741,
392,273,015,512,989,136,143,622,313,069,958,078,288,586,750,249,811,945,107,
708,855,641,627,221,201,737,684,967,519,865,631,983,949,924,154,947,713,010,
646,229,782,591,291,235,823,373,060,231,759,664,159,626,328,643,085,009,502,
080,533,181,145,040,418,041,551,295,706,050,396,539,632,458,963,031,379,650,
930,880,102,385,535,701,692,185,629,664,478,717,673,679,703,555,653,999,422,
659,028,297,495,756,945,933,269,706,046,487,325,256,049,286,507,250,814,982,
545,368,419,906,082,588,499,952,031,671,379,723,072,836,131,432,825,269,680,
744,134,897,572,012,140,368,884,885,002,569,793,052,556,594,526,699,135,244,
407,564,872,228,914,750,326,040,785,029,735,595,176,606,702,180,849,709,543,
412,169,266,192,249,577,868,123,810,870,774,149,746,812,889,378,539,190,029,
654,125,858,107,055,510,082,524,821,090,025,762,430,009,904,438,365,386,135,
728,085,872,171,076,225,163,740,466,108,226,065,421,432,237,510,679,736,299,
310,758,922,629,582,495,917,118,420,316,820,336,717,223,717,680,422,776,306,
497,251,320,356,870,804,305,403,930,767,528,466,628,516,811,409,583,689,818,
041,512,441,080,309,758,092,186,173,344,289,814,293,375,379,080,896,092,326,
317,665,002,283,700,532,745,042,029,417,006,534,274,559,220,872,081,467,289,
464,173,865,573,563,627,980,059,206,862,467,939,530,635,458,182,184,645,618,
824,334,908,103,547,718,505,566,987,461,456,633,975,393,071,155,292,043,269,
344,268,740,182,450,439,944,349,602,801,668,687,887,835,795,397,147,782,080,
104,115,091,302,388,993,381,243,602,670,635,980,397,066,169,483,841,482,667,
920,908,308,649,192,607,434,246,081,169,833,663,714,941,331,559,947,652,451,
073,133,405,568,013,029,199,372,629,092,483,742,625,048,715,687,338,012,937,
921,905,669,015,152,866,072,221,835,115,061,130,530,216,837,473,636,653,989,
471,338,962,716,345,680,846,039,128,833,145,095,164,729,622,006,451,632,388,
882,870,473,967,595,233,693,856,615,322,358,046,647,083,753,438,139,180,256,
864,036,767,327,873,013,751,776,870,404,398,779,532,142,764,444,370,006,629,
967,267,856,157,525,410,010,408,421,961,808,396,062,176,429,583,581,755,153,
920,919,876,603,748,692,259,219,397,835,711,085,665,034,348,810,148,992,802,
579,758,978,426,246,988,697,808,202,409,847,641,539,086,686,183,856,765,515,
067,694,564,793,535,795,063,841,472,952,250,859,785,175,012,317,819,706,194,
561,556,339,442,221,135,606,556,424,980,968,148,392,677,070,103,009,914,679,
913,082,189,176,118,919,528,956,235,070,828,248,758,657,987,870,020,983,882,
338,138,105,441,726,483,573,694,728,626,985,390,617,618,999,215,219,491,401,
879,978,836,957,668,295,755,757,464,127,380,517,090,500,092,154,275,661,292,
989,746,597,549,209,383,710,299,660,319,143,919,421,450,603,850,692,962,590,
184,939,282,789,294,426,017,756,861,773,955,533,579,685,981,553,737,867,849,
231,736,114,669,292,349,156,790,184,762,940,069,461,341,583,145,675,383,024,
281,505,545,860,789,628,449,280,109,973,097,680,946,360,190,061,322,971,110,
536,184,209,410,539,547,065,417,659,473,713,757,160,767,649,720,194,081,132,
719,780,304,049,591,947,166,077,837,893,294,180,738,443,487,320,972,349,140,
256,796,156,845,446,344,611,537,872,482,671,424,346,065,137,426,107,321,890,
322,824,080,644,536,852,791,864,646,483,572,329,888,491,564,622,024,368,929,
232,779,367,740,918,519,460,778,504,622,863,926,310,337,448,259,301,705,604,
858,353,846,835,472,684,696,708,175,998,144,859,288,886,338,201,983,651,762,
589,869,816,541,138,025,070,872,119,870,916,343,791,609,018,747,440,200,621,
718,366,974,293,328,324,995,607,466,051,363,347,487,488,339,321,918,385,941,
575,225,653,288,715,593,604,101,570,918,933,921,876,840,226,378,187,280,257,
715,256,336,387,283,363,108,976,408,214,009,023,258,897,598,443,539,223,219,
555,854,937,493,542,289,405,140,746,801,812,948,466,958,023,996,774,642,362,
880,443,657,462,066,546,843,424,974,024,734,201,186,213,357,412,122,817,902,
876,218,010,242,281,619,380,809,641,690,486,213,859,874,767,534,214,977,179,
089,031,846,083,862,563,582,131,679,445,467,552,525,589,634,602,016,645,303,
008,168,761,532,618,611,578,561,012,945,644,533,759,576,656,828,726,038,506,
296,839,035,399,714,195,881,616,281,991,822,498,125,587,728,661,255,907,273,
916,261,720,782,849,562,968,554,159,370,941,236,653,372,401,501,049,421,866,
484,125,539,579,667,817,444,737,810,581,010,395,452,682,268,513,172,984,076,
400,199,931,229,723,614,138,923,909,313,998,090,855,494,346,041,743,252,469,
934,843,956,463,789,102,274,422,907,876,498,826,399,548,721,605,373,678,344,
843,304,914,815,010,551,110,660,520,947,943,775,552,783,600,319,887,676,230,
371,908,837,782,396,999,236,846,851,599,505,068,109,498,525,396,304,608,011,
851,265,790,353,562,416,183,481,353,321,754,182,747,547,512,861,143,009,007,
734,761,786,824,891,303,917,146,665,765,982,007,192,427,368,164,739,282,302,
323,928,002,377,840,607,634,879,368,110,439,459,464,609,316,573,831,768,756,
547,566,388,374,966,098,553,645,232,072,367,559,245,092,933,934,013,794,082,
613,309,348,100,422,970,867,591,731,407,638,193,869,717,623,244,171,464,795,
242,082,359,765,704,244,015,900,961,970,848,554,341,920,134,483,092,247,435,
954,646,497,026,718,837,350,273,596,228,937,198,006,478,214,773,526,029,403,
235,488,590,317,431,511,449,756,355,873,578,941,590,663,684,616,818,663,591,
687,024,073,053,562,447,929,122,608,497,401,929,444,062,487,778,146,735,395,
185,355,270,229,248,702,139,611,971,194,960,553,614,756,344,690,410,673,865,
509,558,538,613,241,105,941,768,907,247,682,228,434,310,651,904,677,066,471,
581,057,804,406,453,348,479,454,008,349,301,343,184,824,553,528,347,379,549,
370,637,827,295,979,785,108,942,798,324,276,714,313,673,384,975,665,848,968,
485,322,141,730,240,029,945,547,529,793,917,196,323,692,524,379,487,333,423,
591,158,081,388,146,062,123,454,143,750,789,033,794,874,683,505,432,491,636,
391,347,071,332,394,658,143,936,354,333,261,325,712,267,063,650,557,767,870,
390,368,744,856,621,265,400,498,302,529,798,236,203,970,590,019,730,971,240,
639,974,709,250,509,746,421,863,227,959,946,906,306,658,237,969,052,957,333,
833,656,584,922,649,498,449,846,248,608,071,239,751,967,397,026,843,773,601,
357,301,125,543,808,797,532,051,650,559,903,170,753,745,630,022,539,354,478,
670,651,951,636,856,790,267,601,193,325,537,796,921,471,686,549,096,706,568,
030,183,987,016,687,105,200,761,793,598,163,557,958,538,098,785,437,222,511,
906,780,240,662,278,992,328,688,898,972,661,656,844,545,782,193,193,330,406,
408,316,587,152,884,798,450,037,619,671,336,132,028,695,453,842,969,558,094,
280,690,483,567,280,710,828,266,139,717,249,317,557,421,454,026,447,891,730,
341,210,626,621,215,171,921,173,213,743,239,131,776,738,717,394,096,720,881,
318,908,300,146,831,531,352,121,377,281,487,249,905,662,570,457,724,044,814,
907,786,907,455,177,642,160,851,932,624,081,813,530,694,214,068,475,534,081,
119,687,020,445,513,485,207,597,289,215,754,125,633,663,974,731,125,735,574,
418,725,921,306,418,138,325,456,241,802,662,086,644,829,144,932,132,067,247,
054,815,442,904,172,841,630,517,807,459,831,812,232,513,719,031,677,031,233,
438,837,569,571,041,862,943,565,618,550,192,293,630,684,289,091,903,781,242,
938,539,331,624,148,006,678,812,302,679,190,984,061,698,576,668,420,104,053,
853,155,782,194,097,315,857,493,075,018,838,210,185,853,870,111,135,364,347,
384,090,728,340,260,241,977,702,547,055,647,788,580,803,483,256,411,208,812,
721,016,178,443,546,788,047,552,728,178,967,782,034,169,745,175,110,756,000,
964,747,937,568,271,978,413,132,222,662,429,044,929,499,644,039,858,458,495,
275,905,421,590,179,344,879,299,649,895,308,177,330,266,555,039,999,311,902,
427,736,554,706,596,465,378,791,875,815,679,480,257,204,069,477,830,301,649,
784,969,067,554,481,276,716,578,514,139,059,598,141,068,473,905,465,162,823,
511,729,099,455,574,661,442,775,816,068,307,891,732,422,595,357,796,550,968,
379,489,583,732,817,545,725,465,195,422,578,826,160,298,395,715,731,343,955,
330,939,084,182,411,534,712,396,127,677,741,200,784,468,997,660,282,017,374,
208,985,714,976,318,554,054,225,648,846,433,055,495,155,439,871,990,712,522,
298,895,821,764,871,366,716,132,523,438,834,503,146,896,860,396,679,109,194,
844,886,350,142,852,930,622,451,849,207,200,485,790,399,276,222,722,146,449,
623,871,011,864,776,748,578,419,106,329,059,970,840,262,419,294,496,590,347,
401,784,411,943,569,010,440,288,505,139,929,674,944,990,272,704,066,184,585,
746,486,329,187,712,561,754,407,442,617,121,711,866,442,215,719,890,646,727,
677,706,330,640,537,794,351,679,800,476,239,650,343,004,614,376,544,974,625,
035,430,635,139,348,827,744,904,439,391,908,906,298,941,244,454,868,880,075,
587,327,790,477,089,286,742,160,288,381,733,726,191,723,036,232,035,361,938,
331,166,015,471,199,696,330,677,200,144,897,661,872,528,927,108,623,651,011,
765,880,780,801,293,148,838,260,249,721,769,476,327,307,476,859,781,994,540,
002,100,888,875,365,179,301,253,408,308,058,171,676,267,163,526,732,962,911,
407,317,775,946,268,706,727,695,102,879,179,366,194,732,288,464,100,708,010,
738,099,743,280,950,796,988,406,231,617,702,680,410,251,917,824,326,750,815,
905,330,992,537,230,200,644,263,696,330,244,882,773,311,007,692,349,645,526,
461,656,039,020,818,647,736,108,986,464,893,573,124,689,561,544,530,001,204,
697,725,953,021,411,012,629,555,358,717,131,284,192,906,802,307,860,467,197,
728,891,595,532,311,749,872,449,325,329,566,339,484,969,147,958,275,869,898,
102,135,139,462,390,767,389,131,971,783,137,669,475,942,637,368,606,502,681,
007,789,608,747,658,183,897,339,112,637,383,278,265,504,993,901,709,108,463,
319,149,013,444,035,099,586,421,152,666,727,498,220,957,841,058,994,296,453,
765,265,158,913,426,865,421,558,334,499,280,245,006,663,027,586,329,945,033,
158,562,983,943,346,655,018,974,280,086,371,358,401,826,134,741,121,428,996,
637,730,540,516,264,531,040,354,750,148,153,323,727,667,013,729,639,598,339,
371,978,616,558,867,525,349,386,997,038,930,432,188,765,913,561,005,720,501,
263,114,925,178,603,833,445,331,024,939,546,459,520,685,260,988,449,281,971,
637,763,878,181,894,399,986,334,224,219,259,857,714,696,091,586,336,848,258,
779,513,554,813,193,102,132,652,923,462,210,284,183,102,129,580,016,028,876,
013,437,951,625,065,067,576,269,212,928,346,917,040,396,321,721,994,191,529,
264,698,235,740,253,073,457,669,353,385,499,390,050,990,705,626,955,715,312,
754,258,722,392,154,602,301,582,491,469,535,441,476,679,195,331,469,086,925,
534,580,113,182,736,850,202,946,255,673,052,240,289,540,512,789,798,798,556,
723,784,446,872,405,818,567,649,029,010,851,118,343,810,849,478,637,743,100,
806,434,363,246,167,300,634,586,047,894,030,180,471,073,039,150,352,419,590,
969,892,766,771,036,667,615,373,266,060,042,236,282,232,266,525,081,507,525,
363,606,510,214,152,824,198,446,800,548,602,170,687,937,510,393,667,799,763,
863,842,111,290,814,675,527,162,461,071,441,862,612,233,921,437,795,550,479,
697,202,372,752,793,178,979,612,306,449,775,762,800,995,376,333,896,218,933,
669,278,260,903,537,519,718,510,297,495,193,957,297,808,179,343,282,826,989,
020,050,222,294,747,089,008,462,662,411,086,601,888,172,351,668,537,205,870,
992,714,101,204,884,548,611,283,620,371,205,396,463,371,611,125,298,234,941,
248,903,401,951,597,238,987,278,243,234,899,690,440,903,464,062,720,363,308,
674,991,514,099,311,329,774,866,251,533,692,598,262,084,003,711,941,958,036,
092,606,781,635,320,640,914,232,602,298,883,838,556,705,817,517,587,477,041,
260,496,155,718,302,979,146,015,575,188,819,842,615,666,324,771,652,546,659,
162,546,691,261,297,066,353,382,215,250,753,678,195,553,598,869,328,988,545,
804,717,330,001,174,864,766,512,270,742,055,966,653,825,840,676,815,251,016,
652,127,061,098,336,687,327,642,514,593,389,840,738,080,528,803,393,210,416,
338,785,758,131,861,709,211,233,111,078,079,000,969,666,486,636,970,210,190,
911,912,179,939,341,328,137,573,494,740,431,875,718,926,223,089,776,817,381,
269,941,381,124,762,615,872,162,144,007,418,415,354,796,450,894,120,850,339,
501,785,213,192,820,187,958,751,754,315,468,662,484,613,036,285,209,942,609,
796,840,518,067,086,059,643,160,686,594,104,943,163,379,679,522,815,836,669,
783,414,855,557,882,716,281,770,945,684,107,189,612,619,427,745,180,673,926,
751,219,661,675,602,801,856,051,861,386,646,899,863,312,836,649,684,602,627,
733,879,347,087,215,924,834,972,121,350,962,094,650,338,417,284,405,048,044,
150,067,244,777,116,170,119,186,751,405,253,232,424,685,508,324,095,226,011,
169,299,039,011,110,947,084,506,550,571,961,403,460,464,840,583,622,803,370,
919,377,779,531,032,094,026,557,074,626,874,439,479,072,351,441,767,128,675,
028,499,636,923,678,122,386,229,130,118,021,303,147,658,543,316,274,722,637,
613,704,644,922,228,334,253,054,553,307,015,314,134,464,523,565,315,157,164,
547,048,174,289,797,624,190,669,717,441,215,867,508,688,891,990,187,322,726,
479,465,488,721,272,074,103,138,400,270,142,446,251,789,169,310,185,563,977,
838,238,313,373,969,059,195,712,803,309,715,684,117,673,637,541,391,642,016,
222,999,440,417,202,601,202,180,853,992,136,826,641,423,968,213,810,612,103,
349,299,511,604,117,287,793,316,562,671,416,130,667,391,216,997,717,479,901,
953,855,820,123,335,923,728,805,637,037,232,278,841,828,896,664,465,138,101,
721,354,501,068,827,023,438,424,497,084,107,733,503,751,662,160,714,741,005,
593,722,495,025,365,504,867,889,747,041,718,315,556,713,443,987,731,778,810,
664,212,792,159,384,057,553,250,206,610,079,011,385,659,576,080,665,942,763,
613,182,547,288,285,552,784,034,601,746,716,845,113,706,493,611,356,508,590,
160,401,627,290,844,801,746,776,727,533,353,889,649,172,926,469,915,294,541,
076,973,131,344,537,274,877,448,776,904,831,519,409,161,940,983,542,255,794,
385,721,133,651,424,307,464,755,255,665,526,461,543,504,958,059,768,666,104,
247,800,696,186,053,275,022,614,358,316,562,786,987,131,104,803,957,733,476,
850,402,984,301,791,433,170,095,500,290,505,234,960,908,985,485,081,300,600,
865,524,560,490,954,507,911,160,918,029,265,447,952,802,601,705,803,731,372,
104,529,511,899,888,487,941,438,819,383,459,400,418,164,244,011,373,527,102,
290,146,346,160,281,684,259,540,971,696,693,759,761,971,170,857,954,382,271,
024,995,714,750,813,846,455,431,640,316,273,760,438,956,627,734,136,138,783,
663,264,422,275,087,466,764,619,959,842,656,766,156,776,766,550,828,098,075,
545,307,742,905,200,753,993,994,568,874,388,186,189,459,785,854,027,428,566,
882,004,784,526,564,586,098,589,927,705,128,332,572,730,216,777,278,555,130,
808,823,743,950,481,089,887,559,092,343,796,715,263,084,024,976,028,960,567,
891,199,160,195,509,423,408,198,313,902,125,821,998,463,842,169,219,087,308,
578,725,472,935,306,285,399,454,602,295,376,331,566,235,656,139,113,584,240,
099,884,950,991,979,822,743,324,156,034,160,096,214,022,402,558,939,300,749,
965,182,459,181,133,531,648,368,316,643,884,144,467,455,407,812,610,552,236,
372,809,366,218,880,746,248,855,916,162,706,128,531,468,716,429,855,253,549,
322,881,963,594,330,465,779,108,891,323,786,868,548,146,612,009,961,271,252,
203,537,798,836,655,794,606,331,853,809,782,223,781,239,897,136,048,827,243,
634,002,047,519,740,183,159,888,136,218,250,286,992,997,600,621,163,960,558,
264,426,039,357,818,936,802,995,372,503,524,958,265,864,894,492,941,651,781,
110,218,914,572,877,986,800,539,155,921,242,741,371,800,351,474,209,378,158,
730,369,550,910,401,477,406,868,329,609,150,371,914,642,579,507,471,168,914,
792,995,313,986,850,450,253,651,084,715,801,446,618,598,832,594,731,403,356,
677,653,375,893,862,119,805,321,560,644,596,447,510,480,157,039,480,779,162,
258,887,876,458,924,194,930,857,631,661,594,091,895,896,595,725,345,796,884,
125,998,877,140,048,347,255,508,026,233,265,822,538,019,714,332,528,395,966,
270,244,535,018,939,614,449,312,640,825,521,771,044,150,309,110,968,011,214,
950,434,591,689,470,710,003,544,832,691,902,903,254,875,737,750,116,322,466,
955,387,206,643,627,058,518,287,552,981,409,758,217,441,661,295,801,203,007,
355,588,321,660,023,021,407,956,997,573,802,548,164,478,468,551,109,280,278,
007,013,782,178,735,425,623,185,415,099,835,607,784,202,441,773,959,528,085,
478,397,368,778,448,194,457,631,381,521,201,375,896,565,496,865,609,900,374,
505,899,243,348,797,084,334,996,689,098,778,883,373,283,459,925,589,147,771,
564,401,283,118,517,760,556,692,264,177,125,757,194,005,378,616,717,724,000,
781,098,100,585,683,637,379,050,088,013,630,073,051,662,891,807,684,757,870,
942,208,979,160,405,707,921,299,861,787,425,666,967,966,113,726,238,688,769,
425,851,177,462,662,346,595,681,792,353,443,764,706,687,592,952,212,585,428,
612,591,932,714,651,768,950,044,616,183,414,966,883,876,903,404,528,576,839,
274,274,388,595,500,006,980,262,067,154,317,052,662,620,669,572,516,899,056,
744,884,988,638,291,947,679,635,776,310,827,102,782,245,645,131,672,827,009,
740,783,157,753,326,430,822,216,283,973,826,154,384,472,366,736,709,344,020,
762,293,238,344,047,244,047,805,991,463,395,965,085,037,205,319,563,573,695,
696,113,761,167,279,021,967,648,961,046,296,878,144,997,867,070,491,819,003,
009,710,163,618,559,516,734,833,120,598,999,542,452,955,376,578,368,740,925,
303,943,189,943,710,832,194,860,318,281,598,313,937,689,184,174,629,952,435,
034,559,205,366,859,477,207,633,874,419,451,950,841,155,867,467,041,884,898,
768,756,684,671,849,265,116,583,349,256,708,911,288,246,858,566,985,893,904,
239,346,391,314,953,379,809,370,296,836,540,205,709,802,043,560,671,430,551,
169,419,888,863,526,010,872,087,339,504,690,910,847,190,467,038,088,864,256,
401,093,672,001,125,887,423,751,404,342,299,118,239,732,587,635,380,766,799,
740,905,447,723,967,823,333,305,548,483,087,476,097,868,202,247,938,313,032,
547,934,846,316,936,585,963,103,394,535,296,660,633,499,891,824,713,969,898,
177,059,647,665,446,613,182,466,422,957,931,450,701,730,888,785,078,741,720,
496,710,902,692,325,020,619,750,944,878,168,288,950,093,834,021,153,953,674,
677,148,734,664,213,370,794,669,057,054,650,585,595,783,205,579,229,593,859,
643,679,746,091,074,287,068,262,449,526,837,029,539,792,582,998,909,973,829,
365,662,331,047,660,503,568,288,511,021,015,397,368,541,157,561,777,563,110,
957,399,014,793,873,975,735,834,607,414,894,928,799,677,522,070,070,191,105,
328,111,642,500,297,877,029,071,985,984,056,737,419,542,424,763,204,864,089,
389,184,300,446,032,028,748,251,813,438,394,346,491,012,815,656,924,035,020,
784,050,827,546,620,016,777,053,728,432,038,613,188,618,307,699,121,501,038,
158,170,365,910,562,144,674,230,106,961,045,978,680,480,279,169,345,025,123,
696,956,491,229,866,099,277,703,422,373,146,102,209,371,176,677,869,379,449,
572,761,241,254,797,277,573,473,490,154,386,384,267,617,088,104,186,448,697,
813,815,259,341,562,975,927,022,974,546,797,100,995,222,105,141,390,325,734,
512,976,044,264,905,944,987,981,669,117,737,589,647,375,380,559,492,627,877,
558,711,928,338,265,255,963,493,353,026,312,423,921,347,439,402,608,645,177,
775,847,613,912,297,416,653,538,276,943,174,514,351,324,756,250,368,317,988,
920,125,182,889,071,031,237,587,562,263,761,354,978,434,668,214,202,655,639,
484,953,576,627,696,066,690,171,431,744,153,778,494,646,937,586,814,058,452,
284,693,047,167,756,346,546,754,866,560,300,371,898,123,989,298,582,856,874,
550,207,563,807,830,186,052,607,580,612,694,406,892,431,515,280,456,050,601,
619,562,613,171,651,568,492,501,949,526,573,570,812,629,755,403,851,222,351,
630,550,644,139,317,869,936,310,477,976,194,009,716,575,117,737,354,183,722,
988,791,812,335,176,472,513,138,000,989,290,919,860,053,086,014,969,518,001,
483,656,215,923,638,496,699,260,894,872,932,707,126,192,177,829,937,850,950,
608,494,200,730,581,313,295,827,753,716,574,753,818,736,605,811,506,620,775,
193,508,847,815,082,966,407,397,284,096,972,830,982,610,765,552,072,707,385,
198,810,551,164,663,290,613,616,571,029,834,107,766,808,083,397,189,590,402,
843,567,492,494,136,916,877,663,582,068,995,720,219,472,958,301,510,307,548,
848,524,082,962,912,208,480,986,565,979,160,714,927,361,763,535,462,795,892,
109,653,552,530,089,051,238,014,077,270,608,235,847,853,315,806,084,863,493,
611,922,506,006,449,460,596,717,657,271,277,309,219,754,818,275,149,597,830,
305,824,847,579,372,097,187,157,000,717,824,875,335,525,607,558,018,532,943,
831,720,543,168,411,288,060,496,372,601,186,739,004,965,057,654,778,866,145,
205,517,995,648,610,790,880,524,365,574,419,798,340,378,713,733,443,760,767,
373,836,252,403,954,570,788,716,524,112,537,910,948,898,180,546,343,364,920,
366,168,110,534,893,786,320,503,958,372,638,921,802,735,739,905,227,188,867,
597,432,679,151,704,802,540,287,912,218,602,688,569,213,260,673,030,455,360,
289,441,554,969,402,198,292,260,602,138,859,957,880,350,400,906,185,769,864,
747,330,105,937,478,425,445,931,061,192,582,158,751,516,094,471,617,784,143,
289,680,595,690,377,203,767,258,386,484,256,460,058,894,202,236,965,421,247,
933,741,357,930,756,044,494,583,463,644,286,411,166,267,816,502,357,080,590,
665,861,752,521,102,311,040,476,187,884,182,200,401,037,906,068,545,826,384,
711,828,128,963,114,710,256,589,721,754,181,760,365,484,844,212,943,605,151,
752,777,183,645,451,571,500,046,375,831,810,447,698,176,718,211,257,626,946,
659,830,802,620,615,677,621,071,168,184,930,143,078,109,230,765,990,425,228,
789,161,724,351,678,296,803,709,576,096,432,342,116,721,434,236,903,089,617,
876,443,544,873,830,246,665,776,256,201,931,833,524,572,039,406,913,028,924,
334,142,795,334,872,225,077,962,700,812,980,059,378,691,095,403,540,091,842,
090,887,918,838,984,873,954,588,750,640,397,298,787,183,178,563,863,319,530,
086,384,434,308,634,868,570,166,968,903,044,048,012,707,044,096,539,774,483,
307,637,860,854,437,520,340,661,294,958,976,891,696,654,568,638,729,473,730,
743,673,271,431,160,122,398,444,114,005,314,166,581,976,030,969,375,894,322,
878,179,667,193,041,491,408,967,964,471,436,287,683,666,382,111,044,120,791,
397,666,854,470,846,047,422,761,759,010,456,182,651,732,469,036,640,728,278,
519,297,473,855,504,491,417,441,713,468,802,628,101,983,851,579,258,462,987,
170,047,189,294,876,504,955,758,523,369,684,194,986,951,761,707,496,889,497,
259,714,820,488,585,541,168,483,528,091,158,414,880,326,596,517,269,704,394,
215,154,471,337,765,960,467,249,798,091,004,096,486,226,261,280,828,139,113,
925,896,499,933,998,108,869,796,003,984,562,632,372,679,362,742,049,180,284,
512,219,834,932,522,495,403,685,975,090,063,676,448,783,229,969,919,351,929,
227,738,401,572,872,719,085,707,046,320,664,716,394,775,770,814,127,632,852,
569,112,531,196,003,889,517,360,700,632,343,937,677,004,015,850,318,574,428,
062,843,038,033,017,769,429,918,608,426,994,819,344,824,620,264,744,605,194,
688,163,856,987,268,303,750,684,715,508,357,313,861,708,023,419,843,317,122,
579,721,183,047,218,695,476,903,086,620,246,840,969,580,599,988,515,558,659,
566,825,440,340,954,342,135,139,839,518,655,043,446,190,288,836,675,659,260,
922,141,952,959,881,971,543,165,076,066,279,390,803,393,310,216,418,817,626,
736,414,800,894,207,609,916,273,441,842,193,757,192,799,080,125,065,684,450,
354,248,522,010,758,414,116,595,447,761,815,399,910,289,145,734,973,670,648,
721,170,244,397,057,803,354,089,743,387,724,491,159,644,628,023,611,489,147,
610,583,153,489,494,041,507,602,019,493,300,030,048,324,657,193,485,379,304,
902,781,671,306,176,945,996,053,272,854,462,786,019,460,204,738,530,862,614,
122,026,406,828,474,712,240,206,424,871,366,356,029,458,962,991,091,548,735,
083,350,607,195,559,816,521,991,384,304,047,792,987,172,572,281,217,472,898,
368,629,483,433,490,904,588,150,400,828,246,500,341,672,952,850,552,263,949,
692,690,562,523,610,600,839,505,969,855,718,401,224,153,895,189,827,082,436,
529,971,730,901,789,120,825,145,954,311,206,000,133,582,629,317,790,577,705,
061,793,913,219,278,503,091,282,913,970,338,707,671,260,486,292,431,032,708,
251,362,239,857,870,513,321,275,936,060,349,133,703,893,140,744,122,262,077,
568,299,371,620,061,577,191,849,146,227,847,640,550,167,288,736,752,376,793,
211,467,300,149,325,378,768,853,080,635,188,116,205,852,957,774,981,289,277,
384,009,913,862,114,433,428,331,619,343,450,677,711,207,534,722,566,424,736,
032,766,146,480,679,166,083,205,410,343,268,926,867,605,105,379,317,480,263,
484,877,456,659,023,562,287,423,593,051,125,089,432,723,236,930,825,223,447,
261,289,126,974,932,911,843,430,985,487,787,008,071,022,026,259,633,698,819,
371,066,163,141,651,458,646,421,727,122,316,193,607,942,183,592,486,697,122,
819,363,112,301,362,204,579,700,894,957,370,430,770,527,276,586,778,921,219,
863,302,166,481,518,180,009,419,766,365,063,790,511,581,025,247,731,193,278,
569,295,012,910,176,320,473,772,195,857,674,538,145,413,526,158,394,904,781,
776,547,525,722,464,283,673,788,170,100,765,295,683,259,163,964,498,482,746,
532,101,404,255,315,181,829,866,924,027,207,171,291,151,748,073,358,968,905,
292,575,856,816,950,702,963,574,535,892,884,934,452,071,688,163,965,247,418,
572,042,337,648,796,476,717,673,162,328,029,847,920,928,794,902,477,940,748,
131,550,834,790,495,726,055,997,788,833,473,329,073,301,210,435,034,454,003,
133,376,315,947,754,675,802,154,969,838,066,698,669,667,235,243,967,234,929,
021,444,851,575,441,611,146,889,988,637,562,993,860,775,462,808,978,123,947,
206,891,509,403,778,863,536,799,710,493,368,495,451,476,598,039,997,372,410,
571,340,198,454,890,911,595,140,640,895,270,214,591,983,298,433,369,556,082,
175,369,255,839,396,326,252,569,717,651,274,584,847,604,576,912,248,017,045,
640,956,152,862,021,743,223,270,579,307,205,734,942,966,054,074,820,092,408,
263,167,437,345,817,494,354,886,374,654,764,632,049,259,535,830,315,106,095,
769,862,683,479,579,803,474,211,684,328,498,555,044,842,886,289,521,496,198,
286,004,711,830,836,259,715,117,179,311,521,282,263,207,586,425,399,886,969,
020,464,778,711,942,927,992,445,080,035,502,660,086,812,600,394,474,877,558,
210,391,182,652,961,941,322,630,003,114,972,397,354,818,930,693,231,480,235,
608,006,205,404,914,141,167,258,504,817,055,661,467,271,228,359,366,667,916,
186,037,802,722,693,599,769,003,436,630,221,544,065,717,403,659,776,486,629,
352,889,615,887,667,753,020,729,553,364,351,643,964,147,146,530,572,536,343,
244,753,050,004,352,361,952,745,487,309,464,830,644,926,359,172,899,607,901,
742,782,144,471,605,052,315,408,939,045,537,096,673,998,704,248,142,700,908,
102,468,924,236,974,257,694,658,544,402,399,553,062,143,861,637,725,201,594,
323,961,559,063,038,486,357,387,649,948,384,888,026,686,961,587,712,367,955,
732,682,024,518,109,909,547,898,684,841,050,254,091,394,999,549,602,115,987,
596,711,229,201,416,734,616,823,246,326,093,941,747,202,098,499,711,718,755,
500,899,073,777,256,450,171,252,273,944,873,463,500,175,530,613,477,117,556,
811,549,269,873,446,811,622,549,890,802,277,543,487,981,618,523,670,636,702,
960,561,153,918,139,853,671,962,841,227,639,206,476,042,009,322,014,227,344,
997,962,708,095,525,747,558,972,081,355,968,305,775,046,559,095,456,444,916,
045,956,255,992,133,516,936,941,747,932,894,976,754,573,970,312,528,600,190,
525,019,073,830,877,540,756,347,877,012,863,632,773,024,841,096,044,263,944,
683,769,709,082,583,995,772,284,008,096,849,501,157,150,039,057,224,094,874,
542,054,254,721,021,442,759,665,073,640,513,428,035,230,045,279,047,955,750,
323,344,748,657,436,275,646,184,735,962,790,508,265,148,882,063,711,099,876,
213,686,467,750,506,928,951,591,421,175,171,701,749,025,545,435,896,625,933,
275,608,524,555,494,608,385,104,551,506,357,853,894,676,302,917,458,665,941,
847,560,788,180,151,794,512,258,725,810,262,062,998,471,486,984,217,149,943,
443,420,755,218,037,036,546,973,803,332,636,318,537,854,773,872,554,461,145,
976,614,753,903,877,906,335,057,425,817,483,527,593,331,479,077,210,813,240,
211,754,391,295,087,938,322,651,612,927,246,500,001,012,069,989,808,848,747,
385,692,729,272,536,358,149,855,880,842,925,494,875,129,620,592,243,928,072,
010,170,156,241,437,871,796,879,600,334,703,999,064,287,615,750,200,796,402,
179,456,508,961,066,402,742,887,037,403,780,268,538,453,344,073,452,019,629,
202,477,550,340,973,439,851,782,202,000,523,954,636,124,148,956,406,712,932,
548,673,139,946,356,088,153,111,362,666,966,961,729,649,064,858,990,748,918,
593,240,952,869,929,913,124,633,677,573,889,660,663,027,047,296,544,572,809,
220,143,478,304,906,432,819,538,607,197,555,463,401,781,633,862,271,373,524,
336,742,940,155,312,394,626,187,791,578,946,206,819,474,420,718,403,008,903,
778,801,047,933,473,852,234,432,742,436,436,349,609,354,111,611,486,656,811,
086,452,746,707,877,220,768,420,831,814,654,787,028,705,424,576,562,384,346,
197,163,098,848,227,013,317,960,376,918,922,092,656,337,085,077,717,090,875,
367,964,443,757,204,219,598,695,588,366,865,819,252,104,756,627,883,193,071,
826,764,326,053,562,663,528,220,375,772,194,817,570,318,314,285,742,186,680,
576,267,672,309,397,620,293,556,359,471,013,705,956,685,164,421,170,978,913,
380,414,031,839,195,263,571,490,932,304,186,253,768,768,489,331,599,619,285,
252,151,817,511,646,819,674,451,154,159,245,045,406,171,124,449,595,317,163,
798,558,295,578,022,763,893,756,526,678,989,667,468,724,529,416,182,157,353,
015,645,014,353,549,376,525,510,642,395,325,902,501,416,902,455,220,127,957,
130,160,625,252,987,457,082,345,742,900,541,840,438,302,056,503,311,263,861,
537,063,082,241,072,417,039,376,099,839,076,106,139,110,668,429,894,491,362,
563,073,183,561,833,846,402,898,003,460,760,355,488,467,804,551,149,089,443,
532,611,605,384,694,654,126,218,508,253,114,989,215,075,563,416,832,489,835,
333,412,623,724,619,598,833,538,925,079,879,971,999,079,671,534,301,264,936,
986,530,534,049,437,082,210,494,034,883,726,714,997,253,268,198,715,880,584,
663,044,460,243,346,471,193,283,653,521,878,338,991,800,077,496,849,837,575,
990,121,838,332,792,565,767,591,672,576,346,476,905,590,553,309,322,205,846,
315,442,361,282,814,749,389,903,138,358,977,135,031,805,615,982,627,243,350,
041,000,815,824,360,443,487,155,258,399,377,377,722,751,264,332,803,983,770,
983,609,935,918,139,144,455,327,379,118,396,551,876,881,861,398,014,593,951,
458,627,952,154,758,333,578,291,975,900,484,721,683,956,920,964,827,189,377,
272,863,420,725,682,760,023,799,662,031,898,143,774,418,095,209,435,082,377,
369,046,851,670,578,030,347,909,519,124,413,546,024,224,854,624,595,478,251,
046,512,619,503,542,142,428,032,095,651,400,896,828,789,405,839,345,748,183,
411,527,123,988,743,708,948,071,824,829,294,263,704,079,614,141,114,705,963,
912,617,250,197,851,054,943,850,505,875,631,649,066,955,408,986,531,631,054,
740,357,450,908,240,836,027,666,373,675,323,930,316,199,794,585,255,892,952,
271,138,392,581,418,497,344,393,451,823,166,061,848,690,515,370,908,015,488,
802,316,872,314,411,565,532,807,123,372,360,145,062,073,415,857,193,734,605,
310,814,116,311,104,947,682,044,165,697,754,846,908,016,786,633,981,679,870,
145,821,536,008,198,325,330,700,410,277,467,841,658,787,066,297,120,328,969,
319,727,296,368,751,976,573,463,354,760,585,557,971,015,963,112,009,477,297,
124,329,121,104,637,966,836,393,232,254,651,378,435,072,277,325,073,681,128,
554,777,416,632,855,981,594,010,094,883,775,692,839,272,101,991,150,456,729,
256,531,805,347,625,248,207,646,967,800,369,048,675,973,470,536,261,566,558,
248,293,262,362,487,712,308,866,315,552,713,108,359,079,253,931,536,726,076,
740,747,550,152,015,366,147,749,720,057,636,489,194,959,322,456,015,193,709,
835,292,919,169,933,133,901,629,801,329,357,318,624,847,815,785,336,647,503,
239,761,422,151,005,147,096,843,100,160,373,747,843,844,494,150,301,178,102,
507,906,732,029,395,915,385,182,276,048,824,970,480,908,073,033,839,438,599,
563,157,861,855,836,063,412,361,724,557,901,625,659,161,051,800,964,872,957,
068,240,904,695,483,733,327,047,086,276,270,081,138,641,567,398,372,778,693,
712,383,396,331,283,764,657,391,497,106,467,625,000,226,149,510,906,188,225,
554,521,502,694,863,267,061,009,925,093,925,157,988,705,412,039,220,785,730,
187,646,821,001,656,822,502,931,389,818,999,684,935,921,816,464,318,581,775,
606,047,330,308,626,073,214,146,048,398,491,743,967,344,449,247,746,919,457,
640,500,360,452,299,725,038,561,814,362,270,444,071,570,438,284,207,922,438,
013,527,858,014,198,096,196,809,657,128,110,559,800,306,502,234,937,027,800,
847,414,548,285,596,634,589,109,562,121,868,315,238,064,191,635,147,183,603,
176,832,376,787,843,460,534,373,910,233,015,254,099,245,197,359,615,969,241,
821,062,253,350,057,946,970,813,880,001,191,209,870,557,797,944,137,512,085,
284,379,050,793,136,011,581,183,043,887,521,120,559,060,037,048,098,776,518,
400,327,246,079,466,969,213,414,222,201,810,225,886,675,816,458,398,225,731,
938,598,278,178,402,702,910,618,201,561,456,537,230,108,238,436,475,299,992,
232,297,431,598,386,917,303,893,850,651,231,794,998,993,991,961,762,116,067,
999,472,223,209,054,333,159,591,524,934,007,680,942,817,338,429,233,130,235,
058,506,026,936,518,245,055,589,207,096,028,704,685,549,583,668,507,125,868,
142,424,502,787,727,379,772,356,838,429,911,692,596,255,450,517,081,429,989,
387,293,749,030,836,787,073,181,244,505,964,203,824,597,407,989,652,190,810,
786,520,584,561,990,319,198,012,653,680,924,790,446,284,942,807,213,914,754,
593,998,074,770,355,388,144,633,992,124,338,470,159,348,138,422,015,753,306,
545,556,396,481,753,562,033,405,162,141,974,489,242,219,110,265,175,827,305,
498,530,025,531,136,870,908,673,737,561,296,167,996,635,254,150,900,500,372,
626,598,737,761,578,203,225,922,354,106,243,165,314,360,421,092,162,243,895,
283,243,551,217,513,073,151,547,877,539,518,663,662,989,185,323,053,200,471,
955,438,786,941,110,319,266,395,064,460,015,276,299,729,124,913,971,910,521,
870,809,136,445,486,796,228,990,162,450,850,342,401,482,065,617,536,960,633,
355,225,964,210,335,808,441,572,507,100,578,660,525,466,080,199,052,700,422,
348,062,079,657,873,966,838,412,475,181,069,864,224,899,314,388,102,145,851,
540,770,231,465,478,974,031,182,820,861,985,004,684,055,164,214,407,419,469,
028,407,507,301,349,657,050,531,554,175,105,113,480,790,478,683,499,001,486,
237,409,039,903,183,139,385,168,969,538,581,716,471,662,982,219,061,086,927,
027,908,932,406,412,647,840,574,298,618,164,100,736,507,642,590,236,526,462,
147,144,151,397,986,851,923,209,847,455,265,140,452,351,766,387,726,677,116,
086,773,454,741,239,871,541,867,472,625,333,529,252,503,634,719,967,935,811,
285,206,513,830,746,431,744,934,410,890,117,350,841,500,130,956,961,471,901,
171,098,822,824,502,714,352,747,556,335,175,237,311,846,025,942,606,173,539,
280,648,014,174,317,444,380,006,474,216,331,082,840,610,403,978,996,745,675,
480,322,167,190,459,341,378,597,956,828,683,771,931,345,780,820,273,019,685,
977,142,134,680,156,667,961,284,800,447,536,722,422,890,006,415,229,466,488,
794,306,811,906,273,122,618,730,405,809,288,781,440,181,971,804,806,579,054,
612,595,153,281,963,886,660,218,889,979,440,596,585,306,013,198,025,176,945,
895,718,763,352,161,524,844,549,695,264,191,128,067,980,727,255,081,048,327,
244,253,774,939,014,382,980,184,222,549,445,509,080,922,176,174,405,799,578,
774,056,718,471,229,071,668,673,302,579,127,494,426,014,361,185,120,276,575,
573,602,455,699,335,442,106,728,879,634,082,541,019,281,650,696,595,938,998,
895,550,847,987,712,697,867,003,106,790,974,939,916,653,111,691,072,992,275,
526,419,028,393,143,381,317,789,772,964,643,709,076,360,088,350,038,637,793,
361,162,952,946,844,234,720,921,093,604,779,658,807,077,866,517,269,510,887,
950,800,303,782,064,807,909,306,939,611,923,929,118,809,489,089,482,905,117,
345,729,117,282,775,919,892,785,098,196,054,110,668,473,432,997,781,383,148,
905,262,286,254,694,602,485,543,480,700,713,004,987,933,787,600,504,442,364,
936,836,139,231,729,643,972,857,994,781,876,798,978,424,109,512,489,244,287,
033,294,670,626,171,578,808,803,198,188,967,820,629,023,108,688,935,255,566,
312,962,289,602,474,757,912,323,734,607,284,946,425,432,897,275,907,068,778,
831,458,463,825,134,209,435,044,500,059,360,061,718,057,861,694,048,080,502,
122,839,961,492,790,619,383,263,167,709,506,413,964,140,064,084,019,366,477,
243,188,234,818,099,936,784,930,747,003,770,092,200,565,736,113,133,373,199,
065,577,689,766,175,752,935,102,276,831,281,103,115,028,284,839,720,179,630,
163,255,884,393,230,523,949,401,902,747,007,416,595,940,927,390,444,816,676,
432,775,268,890,595,218,127,858,903,018,303,760,586,614,031,378,693,220,833,
177,941,955,619,384,887,321,527,985,917,308,892,470,003,629,079,691,119,480,
294,490,678,666,481,449,195,533,757,274,957,223,901,633,387,007,955,465,671,
718,009,603,207,774,432,404,140,163,798,479,523,280,371,744,157,245,859,315,
229,718,985,380,020,777,313,985,273,728,944,708,109,774,246,759,162,459,806,
451,123,861,874,543,105,905,736,742,557,261,562,499,712,269,654,200,243,158,
948,903,406,190,835,579,638,690,883,373,312,139,580,459,917,631,228,102,515,
062,547,521,870,147,123,740,085,984,875,164,897,037,846,630,278,984,184,528,
681,390,543,495,720,591,219,312,025,913,709,778,086,954,757,534,790,731,479,
287,151,161,185,500,301,382,257,882,078,911,482,998,734,263,621,337,590,685,
142,763,675,431,978,110,504,265,592,706,408,950,643,026,388,291,166,146,190,
872,380,044,810,745,056,186,344,056,396,717,169,785,878,516,125,374,709,040,
863,166,274,777,932,477,000,984,176,897,630,342,859,790,239,410,647,410,689,
249,982,595,062,532,360,606,708,473,449,091,364,813,794,319,197,529,336,911,
768,347,222,141,883,918,227,372,079,908,067,706,482,207,337,234,846,678,952,
584,866,257,949,936,082,107,446,837,499,088,212,770,038,552,102,193,114,822,
222,130,721,524,741,917,027,683,452,617,903,966,674,138,835,941,947,164,522,
540,309,462,522,220,784,249,213,463,854,905,023,885,536,388,685,908,794,539,
617,741,064,211,201,505,562,407,125,627,044,714,312,172,850,300,863,550,572,
812,649,391,660,017,894,379,220,500,559,621,380,669,182,810,456,838,310,264,
617,333,974,176,664,762,409,466,873,703,588,372,305,360,453,481,464,065,380,
523,207,072,803,115,008,037,892,947,082,780,636,413,984,247,233,321,477,252,
412,082,806,394,105,620,985,273,670,765,791,116,036,523,663,076,370,955,492,
971,393,744,562,660,556,947,432,376,220,097,570,639,785,698,261,248,678,306,
434,681,643,835,345,313,641,022,611,836,216,508,357,794,172,769,549,141,945,
252,657,606,166,455,077,546,160,815,714,690,881,297,956,290,935,856,761,873,
566,066,008,822,100,983,300,648,511,929,379,889,661,806,427,019,185,430,866,
989,870,390,619,931,287,062,505,499,296,722,526,306,628,049,910,540,418,236,
523,301,644,780,134,916,493,794,951,832,682,143,067,249,336,874,122,958,491,
052,758,149,494,242,177,620,224,308,719,783,044,515,021,723,716,800,479,591,
403,296,737,238,413,725,319,498,213,346,674,896,040,426,247,249,076,916,918,
257,977,377,449,039,057,756,752,838,461,817,715,268,819,201,087,884,131,560,
091,529,152,167,069,694,755,901,202,853,101,914,036,329,276,410,063,027,563,
234,675,667,838,433,077,451,642,078,025,788,976,658,505,066,240,214,199,619,
192,944,606,712,715,402,885,110,169,894,191,660,067,433,592,900,307,270,930,
505,292,768,239,835,639,924,646,188,064,891,224,616,329,397,615,616,708,554,
518,008,887,323,191,288,075,276,565,517,030,720,287,204,920,525,467,693,657,
037,129,340,565,884,171,667,637,571,721,382,570,007,107,397,360,294,216,119,
255,381,321,622,428,992,049,629,733,594,962,352,497,778,167,845,641,680,492,
496,022,392,723,726,557,290,904,305,472,703,168,206,395,985,349,671,939,915,
343,374,648,587,905,923,898,848,943,467,669,361,895,669,724,928,392,664,792,
130,888,804,134,401,844,104,715,545,077,431,236,217,300,928,537,365,066,188,
464,246,687,046,330,984,876,808,418,126,599,454,560,009,588,027,597,943,875,
907,281,370,925,375,306,542,432,867,270,371,674,124,775,854,009,415,936,460,
923,046,234,950,843,026,089,349,835,980,618,287,469,537,201,756,046,321,430,
613,956,395,529,279,291,683,527,726,655,463,121,335,621,367,937,871,920,970,
785,675,737,715,098,049,304,014,088,179,408,216,664,204,419,868,129,692,458,
030,121,426,581,103,206,082,809,521,918,647,246,382,864,411,378,564,006,373,
436,019,264,920,869,947,367,640,266,600,523,877,700,240,337,782,867,714,392,
887,143,467,209,397,133,275,926,630,475,529,112,468,221,440,420,325,230,973,
267,409,550,051,045,172,513,112,844,401,634,064,652,472,900,536,217,463,714,
406,016,610,940,583,107,133,022,917,540,138,322,519,826,794,106,713,701,003,
997,660,226,407,246,419,407,732,526,411,914,934,729,995,825,837,197,369,538,
778,335,783,480,525,577,421,063,119,308,508,542,144,753,814,723,391,973,773,
986,311,447,176,720,006,594,358,784,069,191,929,736,067,715,692,039,667,383,
557,217,680,160,582,243,077,574,083,105,802,543,064,612,151,211,050,334,296,
817,954,499,118,777,646,970,884,844,937,776,677,894,447,180,691,341,409,143,
439,210,236,997,300,951,763,143,716,214,864,246,817,936,596,738,147,065,004,
558,319,869,976,405,776,699,893,483,747,039,469,477,108,178,560,735,520,306,
573,594,318,967,024,654,432,738,666,468,233,644,377,681,508,754,740,402,025,
757,291,735,750,669,838,399,018,527,754,790,501,174,605,245,788,194,947,991,
186,085,057,455,850,679,339,369,475,563,469,461,869,358,253,076,673,240,044,
354,318,435,730,407,349,523,215,408,463,214,260,453,465,165,055,110,470,388,
375,984,418,394,264,804,955,458,541,658,253,741,546,036,081,658,278,594,956,
037,119,555,545,890,091,040,208,056,252,881,631,022,327,572,694,526,921,858,
697,362,464,822,206,873,870,912,460,817,551,253,657,067,528,925,140,492,301,
287,291,782,379,870,433,685,677,571,824,961,008,938,884,049,534,296,069,615,
515,763,497,833,810,979,792,513,297,485,097,016,096,255,960,187,452,831,416,
230,479,763,869,156,075,180,493,309,788,021,677,972,704,992,555,826,732,076,
789,300,371,278,432,275,826,452,901,003,704,827,758,890,218,147,061,744,512,
413,591,874,335,025,046,268,381,248,423,956,175,348,544,482,611,899,359,444,
794,076,947,823,438,071,540,846,489,961,720,068,484,840,359,052,334,231,184,
048,498,498,717,995,129,651,595,124,523,427,033,454,038,271,847,591,858,663,
104,470,174,617,854,945,035,984,586,311,731,445,828,834,992,706,566,092,757,
475,401,470,787,008,392,335,549,194,961,357,141,186,433,849,926,961,637,721,
334,189,114,820,567,481,338,539,637,657,525,202,934,356,716,997,950,363,229,
979,441,450,485,881,393,333,903,541,311,658,462,714,871,933,717,013,441,472,
198,457,109,307,387,786,740,971,452,456,553,302,676,317,885,338,826,565,356,
421,502,283,388,876,822,938,121,141,643,519,947,349,572,707,412,031,438,118,
227,689,096,185,428,984,692,046,802,466,015,750,745,326,145,169,479,438,801,
629,191,359,047,062,131,760,817,540,503,154,034,003,141,831,537,384,575,575,
389,868,855,920,036,131,583,923,896,499,160,757,198,752,664,168,776,456,418,
893,000,083,541,298,146,085,131,194,455,271,837,647,859,416,299,564,279,605,
687,637,126,206,645,510,483,341,650,767,507,644,867,719,927,128,540,609,656,
786,803,279,390,838,792,068,447,265,275,930,643,806,199,265,066,182,940,442,
303,451,223,533,955,177,142,603,570,741,113,731,079,802,828,692,037,778,777,
049,838,460,769,544,467,348,133,060,392,244,506,115,187,100,273,884,637,247,
667,434,189,157,535,126,043,039,545,347,385,685,673,705,734,195,403,632,466,
129,163,714,215,304,431,939,390,536,824,817,921,844,117,677,070,685,124,723,
035,241,655,435,691,508,695,354,079,281,943,115,544,259,110,806,946,516,726,
582,780,625,772,547,150,131,176,374,106,084,769,937,556,167,765,231,844,914,
251,327,045,919,890,447,518,767,561,640,078,202,016,046,910,375,520,139,231,
086,318,676,815,237,226,067,606,685,189,098,325,220,797,855,376,784,610,071,
958,340,515,260,559,273,189,265,959,052,251,080,030,986,665,722,435,374,610,
432,523,108,969,840,054,492,004,131,925,393,891,381,636,834,763,850,514,048,
821,533,994,851,075,167,411,662,847,227,553,686,334,845,865,421,395,697,595,
261,810,783,879,821,383,533,006,077,254,225,305,126,902,207,445,619,477,280,
680,853,519,068,235,790,681,821,400,216,679,081,454,272,139,258,098,777,410,
990,323,377,581,770,400,297,859,434,456,707,216,217,892,456,431,805,293,648,
434,272,371,252,590,969,412,838,953,923,748,171,075,272,314,356,757,973,193,
905,865,847,184,921,507,350,284,902,402,162,994,933,530,185,769,835,220,414,
028,963,711,865,535,494,825,855,720,320,487,130,143,533,206,637,820,785,344,
400,125,259,435,940,394,394,014,036,972,425,415,310,168,193,168,684,484,502,
272,288,757,650,498,344,316,403,851,621,474,759,588,957,915,715,290,985,589,
287,047,632,692,299,898,122,092,734,695,775,805,298,976,747,770,863,116,153,
156,327,787,022,614,814,731,274,507,565,745,289,171,294,760,809,719,917,949,
414,449,315,613,016,933,119,368,332,363,575,289,722,526,186,979,741,472,047,
694,826,225,379,626,107,690,139,650,474,724,249,009,774,584,301,248,571,061,
983,267,703,616,060,096,364,840,469,945,157,575,343,297,925,598,745,050,643,
576,724,882,142,729,505,120,788,187,762,691,873,939,464,098,993,674,024,719,
321,339,715,333,019,814,910,683,632,030,211,186,601,238,719,996,633,049,245,
240,073,932,985,311,047,168,379,714,581,448,583,763,339,930,841,786,477,823,
480,742,721,234,509,347,351,371,187,260,438,264,043,893,117,488,334,371,846,
681,325,320,101,756,545,999,923,475,705,338,328,034,422,489,393,991,553,202,
765,165,917,457,997,782,105,900,645,262,768,090,403,259,754,479,663,711,567,
814,559,521,831,997,910,213,288,261,002,792,137,620,667,494,756,247,793,225,
465,424,979,505,314,974,111,298,955,240,305,794,590,710,395,716,370,223,183,
421,420,734,136,561,291,660,329,588,054,461,085,177,816,118,213,332,585,922,
743,478,558,510,899,926,007,333,154,630,038,449,124,658,059,285,993,446,084,
812,383,441,823,532,543,001,924,004,099,753,371,510,169,226,803,176,670,487,
902,211,624,733,230,768,962,975,445,033,918,077,956,594,791,885,626,470,581,
481,378,952,905,101,395,583,392,486,412,096,800,823,769,895,183,918,366,209,
260,287,405,305,176,587,396,564,869,304,828,165,573,902,208,912,555,951,916,
034,606,487,207,814,708,555,431,944,666,441,408,351,508,414,846,464,968,241,
829,022,819,030,728,338,063,853,832,969,930,073,786,845,651,330,304,204,373,
864,435,980,754,281,431,028,275,632,071,300,148,356,823,720,657,188,157,238,
630,596,087,480,354,351,388,499,208,891,478,769,957,356,775,434,446,675,325,
249,790,704,885,113,654,507,899,764,558,969,231,427,162,329,696,779,793,375,
432,820,396,155,652,620,299,459,004,299,083,611,027,325,558,401,236,478,786,
853,561,116,510,751,319,955,726,471,137,429,289,227,153,512,956,107,124,382,
930,559,840,602,523,171,443,238,376,141,322,706,329,688,229,419,506,818,394,
265,194,179,600,456,399,569,715,402,087,407,476,167,850,545,478,541,555,945,
652,675,398,112,224,666,994,361,154,817,574,863,361,826,862,391,868,023,417,
707,357,674,930,259,171,563,046,610,894,015,221,177,311,046,047,594,976,490,
906,774,337,334,890,980,406,456,658,167,460,738,707,600,741,195,264,441,684,
674,896,097,893,520,357,824,485,437,412,988,541,637,471,043,723,275,788,621,
583,249,680,973,603,125,645,091,471,103,243,334,754,544,288,114,622,928,970,
294,069,551,116,917,270,230,928,481,775,307,150,037,361,847,416,270,766,574,
223,391,374,013,508,564,543,627,599,829,584,698,818,313,825,637,114,055,873,
968,509,833,419,035,668,008,964,195,883,651,525,174,404,794,396,853,782,283,
798,249,022,894,715,516,079,862,256,299,069,873,457,467,958,921,265,708,853,
611,002,419,240,399,437,778,286,325,956,586,488,920,942,212,303,592,584,057,
501,630,748,342,999,621,218,425,790,492,918,270,701,464,250,727,834,492,940,
930,685,307,057,149,882,154,965,620,036,149,641,005,947,285,164,670,445,877,
548,635,848,010,283,043,947,196,618,247,463,412,754,273,264,601,040,899,874,
429,627,515,289,146,665,250,064,833,596,530,033,078,947,158,202,595,352,252,
573,726,192,945,279,320,549,230,123,261,009,859,625,445,673,073,962,128,171,
070,637,517,893,074,165,498,848,805,169,425,430,302,390,787,562,144,446,941,
055,297,825,307,870,951,347,707,568,156,244,237,108,852,204,978,242,888,735,
626,174,351,430,279,304,192,712,877,673,933,711,156,451,907,604,495,522,308,
937,614,304,229,026,655,076,955,512,050,004,846,441,774,842,198,486,385,154,
464,427,623,640,493,274,607,370,334,043,833,766,554,363,975,386,326,847,081,
195,505,144,339,667,812,653,990,751,966,009,885,535,305,089,991,279,144,468,
838,384,457,264,774,057,103,201,864,931,547,379,030,828,890,129,735,145,212,
543,479,685,730,553,423,746,680,586,672,292,397,299,886,474,503,044,067,600,
698,727,877,665,151,346,977,965,929,905,902,616,730,124,649,329,765,882,231,
418,940,202,774,143,739,973,107,035,946,533,833,516,486,347,416,404,958,705,
266,272,012,838,842,343,490,114,451,326,717,302,179,865,746,048,659,362,551,
466,063,714,862,883,505,684,765,010,455,909,687,838,107,909,014,711,631,839,
850,846,906,947,119,859,996,405,321,897,135,228,269,853,760,674,072,611,326,
166,045,536,235,618,865,016,473,261,657,737,233,157,471,155,043,511,162,777,
812,434,084,607,655,347,625,397,397,367,274,207,964,884,119,470,064,719,272,
987,947,409,282,885,630,520,959,868,540,232,737,471,028,939,799,261,950,301,
225,385,781,544,313,636,405,912,450,458,733,872,970,649,202,197,307,273,743,
825,025,731,400,501,229,110,637,242,158,054,130,511,453,580,457,702,800,743,
523,081,366,500,275,686,957,341,194,940,640,134,413,859,221,887,583,716,787,
587,550,921,922,766,248,148,694,109,599,103,360,797,086,657,567,442,975,442,
530,090,389,679,365,391,725,982,941,820,204,114,291,845,236,017,070,233,427,
993,933,302,466,144,567,291,640,701,786,488,893,777,138,496,748,184,123,740,
258,485,538,069,122,061,608,038,515,446,680,471,223,748,574,171,459,348,496,
854,313,612,402,956,701,147,654,854,575,508,329,984,895,835,741,875,861,506,
459,560,509,933,808,619,633,870,576,555,805,809,027,695,407,226,466,323,197,
768,185,529,237,643,383,419,000,083,988,777,784,256,260,101,673,136,872,287,
449,160,880,856,848,338,449,895,732,108,247,133,137,485,518,040,081,183,570,
282,509,205,962,254,164,266,876,752,567,553,897,114,599,687,545,649,621,316,
988,493,629,412,673,588,889,317,939,373,556,230,005,390,574,114,989,545,788,
359,036,672,224,500,389,085,635,705,002,216,823,574,159,726,947,423,295,945,
718,093,227,355,913,365,859,437,405,953,630,076,507,830,630,682,648,719,408,
801,851,638,032,118,649,016,530,954,239,068,745,842,659,875,257,662,489,586,
646,776,103,429,934,498,059,135,358,833,765,745,006,588,280,807,531,064,408,
011,087,341,441,389,471,641,586,133,578,412,227,654,580,135,336,237,029,560,
286,011,329,150,985,581,107,920,531,099,528,862,836,619,548,980,872,519,257,
675,024,826,183,361,633,287,097,615,449,742,900,922,542,672,689,714,663,020,
062,026,993,503,777,593,759,041,977,586,315,950,876,060,916,330,639,219,086,
941,814,578,166,523,820,164,840,381,415,075,693,504,880,091,348,951,182,262,
779,472,788,208,091,813,685,858,381,270,196,333,496,840,439,870,382,836,280,
399,616,873,738,774,222,359,345,268,035,012,821,874,198,054,345,077,652,632,
848,488,025,751,140,894,380,085,705,118,760,374,781,685,610,123,836,012,074,
823,808,366,200,819,300,337,910,325,350,772,509,189,058,874,972,474,751,280,
330,835,871,882,596,938,295,385,044,016,455,217,259,434,173,172,114,620,972,
722,771,714,973,720,816,844,224,416,368,599,223,089,740,439,620,805,067,715,
249,769,952,046,801,605,326,987,412,721,577,745,342,877,326,186,009,976,170,
737,074,011,971,136,059,314,065,697,714,001,438,191,757,878,691,067,358,141,
757,098,732,027,499,548,694,456,321,334,112,521,820,412,083,114,178,308,645,
251,108,978,399,549,695,586,162,376,139,803,061,163,964,123,667,384,268,719,
561,645,584,515,580,233,974,438,321,124,654,413,319,784,991,274,562,479,313,
994,085,004,851,308,787,939,754,099,582,148,222,166,438,946,151,559,220,698,
087,507,871,732,884,090,429,488,248,999,748,671,322,196,841,474,504,140,942,
434,266,266,113,611,777,567,857,310,589,517,169,006,920,240,005,207,020,945,
306,933,841,621,887,708,629,961,591,585,842,859,295,306,834,574,588,996,988,
992,832,242,629,932,939,824,175,052,304,755,508,675,448,671,573,112,897,314,
815,104,799,553,260,981,480,441,669,541,469,647,985,170,989,839,395,024,229,
322,811,986,056,868,542,727,290,423,658,168,082,503,033,909,601,669,900,385,
794,352,665,346,368,008,542,433,234,826,164,478,695,768,338,298,436,214,245,
221,866,526,069,997,200,995,840,088,062,523,868,844,420,264,029,717,647,985,
059,658,519,414,435,712,838,686,789,863,669,884,507,540,579,380,270,675,537,
712,489,931,245,163,689,915,122,088,634,624,861,609,069,347,591,244,208,641,
275,749,062,348,941,437,989,175,387,236,259,183,096,175,530,203,755,238,309,
987,332,905,129,415,235,787,511,190,277,427,736,399,467,478,148,571,225,349,
446,401,337,785,928,903,891,043,256,392,728,835,636,814,477,452,850,923,126,
754,387,954,441,431,040,201,438,652,700,184,195,871,262,695,160,340,010,290,
783,723,014,121,868,216,616,486,414,994,476,536,492,242,631,903,777,114,675,
982,677,974,094,448,124,490,978,311,085,035,914,231,363,273,125,471,268,757,
333,171,661,442,118,190,731,886,416,179,036,394,492,482,737,533,007,896,984,
630,332,747,803,121,068,442,064,655,578,443,332,614,305,581,479,034,440,851,
416,735,876,107,645,340,773,240,540,173,687,887,312,099,923,072,094,059,928,
250,828,185,501,858,483,994,068,537,774,027,916,652,275,585,450,958,772,601,
878,120,736,949,769,006,011,069,402,911,371,993,287,310,638,653,967,395,204,
174,538,638,554,097,034,204,942,478,509,595,999,362,946,794,112,517,243,919,
435,876,138,535,475,085,955,438,414,999,194,727,849,991,254,248,565,112,934,
087,874,596,524,514,305,279,755,301,704,186,350,238,045,824,415,140,333,964,
551,629,619,297,812,828,230,263,345,070,631,742,987,475,538,017,491,220,710,
392,546,694,771,642,627,418,245,416,680,625,150,667,595,083,018,421,877,553,
668,457,213,918,453,027,174,088,215,131,379,666,486,418,480,638,666,110,251,
077,797,554,006,913,368,358,836,921,837,624,135,002,354,014,232,349,005,517,
590,777,876,423,383,227,523,583,850,269,039,711,730,492,019,570,153,605,411,
066,400,634,738,378,405,029,360,657,836,938,467,651,792,767,775,815,593,724,
569,634,817,850,509,700,765,007,146,809,056,749,879,234,206,759,156,132,776,
229,791,092,023,966,587,484,166,930,944,531,208,081,271,700,348,269,712,656,
376,299,316,250,879,699,051,569,147,483,798,532,034,142,989,234,339,419,812,
876,998,223,396,713,112,663,785,531,159,130,081,465,448,279,884,067,305,327,
231,140,592,312,752,739,892,032,441,956,890,385,120,804,923,969,461,601,013,
297,097,716,300,433,280,861,080,291,554,246,264,620,052,125,161,467,989,732,
149,818,772,586,990,303,683,558,957,992,290,783,457,008,438,948,574,494,989,
025,450,309,795,660,155,352,820,332,624,246,703,087,240,381,510,299,150,499,
898,836,676,399,803,002,753,088,651,370,283,519,232,260,455,264,738,383,846,
590,167,001,687,461,975,892,279,401,985,668,577,575,105,698,732,996,356,414,
855,383,481,852,192,713,411,448,023,522,617,985,872,589,698,811,058,118,885,
021,433,910,900,689,398,915,130,735,184,341,540,335,824,096,266,116,891,520,
821,501,305,387,631,761,849,909,391,421,623,864,253,435,367,161,128,470,796,
851,221,715,596,502,257,505,125,799,359,404,193,444,184,967,509,514,347,527,
046,647,022,233,069,955,807,829,787,408,492,159,062,065,364,334,364,454,810,
879,826,691,397,645,505,645,174,723,230,922,357,905,202,124,271,991,808,979,
212,062,181,508,214,836,155,035,415,469,611,052,124,043,470,259,331,058,740,
937,304,666,354,042,623,485,609,054,734,716,318,249,150,036,395,773,510,028,
854,429,038,979,490,415,213,429,844,056,498,423,740,539,009,956,757,125,673,
582,624,116,314,754,027,510,662,843,768,581,549,465,559,685,771,639,702,765,
574,991,252,842,338,072,016,510,844,198,793,725,630,931,132,848,577,966,527,
208,921,008,408,546,788,974,146,975,939,295,886,428,922,162,540,183,770,430,
470,535,432,075,857,819,173,179,421,952,221,519,911,869,371,954,640,930,688,
256,475,320,181,015,190,791,033,372,896,877,738,667,295,398,295,423,867,429,
952,396,059,963,199,972,631,059,561,853,912,138,832,668,131,657,182,723,487,
514,738,131,448,750,347,160,625,785,795,224,531,011,777,927,390,670,841,186,
172,092,601,618,691,981,910,321,987,945,486,037,883,999,869,394,690,896,383,
158,683,170,722,400,668,514,739,319,824,026,212,948,045,790,727,521,516,288,
294,844,199,554,564,173,462,218,642,956,084,159,677,315,538,662,835,421,573,
845,140,152,217,277,295,421,565,980,365,401,410,444,576,330,797,327,658,679,
161,482,459,380,009,700,696,232,803,547,332,490,310,435,834,445,226,833,399,
677,323,438,633,484,473,789,059,136,292,455,552,319,173,921,121,556,580,146,
018,538,820,010,315,216,137,833,320,854,286,236,481,617,720,446,015,047,743,
464,197,543,699,924,305,092,631,195,588,306,822,381,745,788,809,552,246,902,
686,467,389,070,371,598,236,210,810,918,905,904,749,999,449,674,795,682,225,
735,210,054,324,486,058,739,800,331,847,880,616,905,793,574,737,665,624,788,
171,476,834,303,980,119,558,259,456,303,920,772,818,736,962,892,979,872,393,
166,911,231,809,565,403,575,452,771,653,519,943,546,158,302,356,261,238,466,
926,886,419,116,431,533,072,857,941,147,070,807,592,569,654,997,721,401,999,
029,439,540,425,183,093,112,430,746,634,240,172,198,895,377,174,305,859,575,
022,359,140,623,245,950,328,728,152,557,578,636,601,710,229,657,481,244,298,
508,215,581,935,847,904,546,823,906,334,851,031,149,717,322,403,727,670,686,
788,565,031,036,553,746,954,070,505,482,122,248,118,122,139,831,143,627,665,
529,778,159,219,380,090,456,435,008,848,608,078,086,853,086,040,649,219,725,
507,246,560,552,526,596,241,484,951,346,635,819,153,612,636,542,225,579,055,
270,566,323,153,893,754,070,033,315,683,310,857,882,228,231,552,125,757,914,
653,534,281,300,498,355,990,978,099,613,518,927,461,975,355,986,240,078,477,
011,549,810,982,275,572,458,902,842,451,671,924,594,811,525,114,385,032,149,
168,579,942,438,910,688,124,563,232,448,002,298,710,584,593,396,367,115,592,
807,280,518,157,662,935,939,212,561,884,882,198,372,449,054,405,736,483,927,
580,557,595,287,124,896,345,601,437,952,445,206,753,652,362,843,198,833,338,
558,663,314,342,022,026,474,941,136,078,697,628,310,454,088,188,463,888,883,
358,242,855,828,292,224,980,972,922,154,489,733,897,811,316,440,970,173,599,
034,455,936,540,032,768,377,743,113,456,071,569,984,873,617,971,674,518,068,
347,377,644,853,481,007,784,565,635,872,251,971,874,539,426,760,959,954,209,
824,176,674,214,588,111,840,415,038,599,167,517,452,774,432,417,556,881,011,
168,585,935,559,989,758,509,482,893,977,217,839,056,825,746,643,685,313,084,
879,410,170,862,153,514,981,133,920,309,153,119,285,793,249,084,203,768,058,
866,243,394,154,249,929,290,228,281,661,512,777,960,956,200,521,628,213,172,
223,892,702,116,890,389,195,532,215,558,746,988,904,136,815,985,206,437,307,
197,317,398,097,887,822,283,600,217,252,846,525,183,302,840,860,218,516,394,
459,198,142,913,270,006,408,980,934,167,844,914,973,511,412,285,899,488,743,
186,127,458,192,702,595,812,706,859,001,912,785,781,331,327,743,419,308,963,
665,715,432,159,504,582,558,554,268,740,925,333,374,727,338,714,778,357,995,
617,891,418,105,685,594,981,821,661,398,069,572,252,896,799,211,958,139,926,
518,525,483,855,084,750,343,655,753,113,573,218,903,562,442,553,079,268,196,
827,913,258,986,371,895,578,996,807,283,125,115,519,751,588,943,709,635,487,
035,754,576,666,062,563,085,162,259,931,949,528,832,478,710,851,140,115,337,
705,679,072,479,480,350,653,075,287,103,838,614,129,294,783,745,152,971,327,
914,404,422,802,329,056,495,258,393,352,165,335,374,184,146,657,858,870,204,
263,028,772,261,871,343,120,907,003,030,210,743,963,662,089,836,318,006,556,
554,221,487,297,736,146,134,290,650,141,827,232,843,416,853,221,504,223,633,
121,905,080,080,368,094,100,758,191,496,819,955,644,091,685,372,186,625,816,
290,199,661,211,281,292,714,784,392,186,371,659,850,500,891,218,025,479,641,
449,470,520,629,136,641,606,235,836,175,262,576,403,882,413,746,849,948,835,
833,298,372,485,183,758,471,578,714,580,397,173,022,394,848,025,400,440,746,
830,107,727,783,625,530,127,241,991,581,445,285,417,214,103,088,166,347,363,
705,833,761,279,213,825,655,618,587,258,523,076,296,784,010,985,021,966,791,
038,672,174,374,239,832,169,178,524,492,991,290,478,725,434,905,729,713,018,
782,141,575,180,171,321,174,955,281,368,284,506,326,437,414,981,273,783,826,
820,373,943,390,050,559,761,071,782,608,392,142,502,689,670,404,527,638,687,
939,352,224,210,764,500,483,310,037,179,294,057,501,634,467,038,107,715,628,
135,402,379,430,726,680,642,751,740,639,895,235,530,531,367,599,972,306,184,
850,962,486,401,815,607,475,673,595,356,585,717,293,960,102,214,401,147,790,
794,140,153,367,634,754,736,512,260,591,855,400,315,725,136,829,853,661,400,
021,902,339,864,410,542,848,033,599,561,466,634,974,395,295,851,847,895,973,
348,824,248,302,741,794,557,476,983,569,537,049,523,298,845,906,917,350,013,
536,736,464,273,151,014,813,233,571,326,498,959,599,420,910,663,944,912,423,
983,096,708,210,196,425,675,039,891,448,902,023,423,281,198,791,845,432,288,
381,150,699,843,215,273,797,820,853,372,422,243,710,172,485,332,634,696,004,
517,595,257,201,274,972,114,839,934,723,680,205,561,874,339,988,589,377,568,
751,689,862,474,270,647,698,817,398,563,495,995,452,534,193,733,258,816,382,
776,417,967,327,832,174,128,097,395,811,150,553,825,150,558,311,257,804,164,
971,750,457,981,352,069,209,850,356,506,410,760,434,780,758,505,184,788,957,
579,687,628,407,131,087,693,612,986,981,684,787,191,415,513,747,896,158,236,
725,426,163,142,336,432,818,641,592,455,784,842,954,744,244,374,469,153,512,
285,416,913,526,624,602,182,988,483,291,981,051,720,717,669,918,357,074,559,
301,437,020,929,503,247,323,810,054,146,279,320,534,385,213,564,786,164,243,
266,524,974,757,936,005,722,553,534,319,034,350,567,839,870,467,920,509,216,
745,746,970,182,272,837,501,800,799,282,953,021,871,768,550,563,381,299,775,
167,946,001,124,897,922,042,230,334,185,247,134,411,121,029,195,697,928,532,
617,242,734,013,625,930,746,469,105,173,841,927,564,785,698,470,770,057,486,
243,342,671,375,620,069,133,703,057,692,812,945,291,099,348,133,766,422,044,
855,141,389,930,040,162,238,139,511,537,856,164,110,258,193,928,101,014,660,
299,322,319,166,996,340,388,686,484,378,385,594,178,162,811,592,926,140,989,
786,886,945,709,081,018,013,177,236,527,002,870,008,648,519,510,637,203,772,
025,411,535,850,628,845,422,777,014,821,272,191,319,415,773,674,279,804,821,
062,967,466,954,288,491,211,783,972,347,091,409,368,687,535,312,369,249,846,
345,766,364,690,437,582,169,395,850,147,611,382,869,103,945,542,779,674,913,
093,596,618,381,709,973,007,216,192,198,126,396,214,497,623,930,750,135,771,
205,194,497,839,907,561,543,778,462,002,677,161,801,271,438,925,508,449,219,
688,830,504,643,825,828,734,927,561,023,326,437,587,575,280,295,311,682,667,
422,694,157,220,902,636,715,875,694,769,535,782,317,106,470,915,470,947,919,
235,826,970,034,992,370,283,734,391,286,192,044,969,018,470,730,948,135,278,
664,289,852,242,664,733,616,064,127,168,030,426,583,783,469,989,739,479,347,
088,128,492,628,941,976,544,043,233,136,718,217,731,888,647,438,017,469,253,
237,890,372,005,780,649,871,044,319,407,495,332,516,380,501,456,327,766,190,
806,827,918,433,589,191,065,231,807,612,068,588,945,181,256,872,354,465,599,
500,714,041,303,426,388,488,786,053,866,592,808,726,086,020,234,561,713,984,
108,696,768,558,276,278,038,049,268,176,904,726,704,029,725,457,526,006,040,
377,789,184,398,818,616,451,122,564,904,491,116,427,529,553,136,319,233,842,
177,588,021,091,498,650,229,969,786,869,099,464,691,108,180,107,348,817,213,
195,305,504,735,299,452,150,883,601,120,469,967,436,855,530,317,479,722,461,
277,547,552,973,701,352,033,420,617,518,836,089,842,489,870,072,441,077,859,
582,260,225,304,164,588,068,698,027,388,015,587,622,727,908,304,848,839,639,
156,556,595,536,028,547,108,966,518,818,461,870,232,398,549,208,521,495,625,
520,088,606,952,493,088,050,773,199,419,182,045,640,639,570,260,923,797,656,
865,817,341,569,658,794,122,476,910,913,584,370,999,978,126,098,871,051,703,
884,108,563,892,564,432,575,616,071,770,272,861,603,230,172,451,588,034,440,
789,078,049,139,525,232,196,280,942,220,157,327,172,417,520,342,629,483,613,
883,886,841,880,844,170,507,955,637,961,023,314,661,741,151,719,939,656,403,
153,705,603,940,658,025,744,073,751,295,982,138,226,077,709,531,752,498,776,
798,213,442,927,836,889,084,307,093,991,975,924,019,790,240,546,407,299,706,
276,727,812,326,507,497,271,677,512,369,742,984,842,522,585,554,239,214,289,
687,941,345,665,171,872,235,888,667,770,431,878,541,482,351,423,467,214,785,
511,514,428,491,290,872,813,508,354,456,799,996,257,596,375,918,688,114,556,
708,061,848,466,935,506,060,539,763,965,166,741,623,089,652,884,151,849,392,
800,336,682,752,613,996,730,282,744,323,151,657,513,471,757,723,425,464,957,
924,924,392,611,951,155,615,877,160,585,501,702,370,104,361,218,712,281,229,
368,791,563,829,768,374,112,790,032,021,412,229,684,409,052,408,445,383,349,
421,173,349,404,625,401,665,889,723,440,990,793,087,946,709,118,802,706,148,
644,635,539,011,047,409,059,235,853,916,463,755,684,366,895,377,437,412,582,
896,072,322,675,073,920,738,922,153,730,275,666,377,147,689,391,675,369,935,
702,449,311,573,858,581,183,658,142,589,888,800,307,435,928,164,598,157,798,
571,134,709,514,105,837,005,486,574,296,758,920,029,797,473,493,941,376,340,
873,082,605,159,076,402,448,219,978,034,117,947,587,500,916,340,894,503,273,
466,703,763,003,338,397,274,615,826,278,292,272,023,246,993,900,552,409,421,
118,876,280,569,930,706,871,352,939,148,412,117,337,475,234,325,747,050,443,
670,407,065,042,708,806,225,037,701,079,146,869,794,681,262,417,461,701,524,
225,282,748,222,669,898,422,321,601,607,929,292,476,892,548,640,557,467,664,
407,068,672,342,425,035,188,574,811,793,506,382,454,523,305,406,334,358,080,
541,682,905,961,247,275,536,077,124,984,663,811,984,057,771,592,275,296,582,
559,956,210,876,571,264,195,359,709,977,350,228,095,911,446,699,621,658,301,
369,603,481,920,413,929,573,862,240,746,315,479,461,445,953,507,574,084,388,
631,616,664,663,969,866,798,002,491,699,440,449,681,577,522,824,775,648,911,
298,231,581,102,185,842,968,345,635,929,620,690,106,741,082,410,603,878,513,
655,165,201,695,349,387,394,307,343,127,936,804,364,130,104,553,770,582,140,
982,404,325,247,001,497,510,719,302,418,679,275,061,175,814,797,521,484,762,
089,323,103,622,541,950,150,860,012,962,715,558,671,569,990,340,138,019,613,
130,831,311,168,853,306,399,801,175,415,544,587,545,847,302,824,851,418,198,
992,157,845,687,978,871,069,208,221,686,651,656,729,953,156,350,544,690,488,
124,249,713,298,002,691,825,250,209,567,516,930,500,616,328,828,529,274,362,
107,071,934,006,851,924,549,815,248,059,851,353,509,053,517,708,545,783,980,
711,945,240,770,271,499,068,462,682,600,350,348,236,209,347,035,169,550,838,
083,829,217,882,389,320,531,042,328,215,295,378,781,161,760,612,481,341,189,
749,848,753,022,624,297,938,007,235,303,447,771,015,616,411,955,839,751,669,
516,221,168,938,440,849,516,998,874,699,668,190,060,612,604,844,669,923,711,
777,234,068,421,423,144,772,402,562,686,483,180,843,783,239,442,916,967,031,
246,766,973,485,174,322,987,338,419,183,149,745,385,113,149,150,437,402,061,
632,867,198,086,772,588,686,131,141,917,908,055,343,371,694,888,329,349,411,
636,113,945,673,387,269,666,128,847,484,717,783,233,724,369,426,466,202,412,
489,327,633,846,286,954,888,992,370,623,305,194,901,721,353,039,599,308,809,
977,326,244,704,773,681,164,785,073,461,370,436,331,843,147,689,780,927,292,
689,924,703,925,790,968,027,986,822,600,844,143,020,570,616,981,044,602,507,
277,859,263,844,117,542,133,531,276,887,355,262,332,862,029,463,834,530,546,
501,627,679,235,454,672,574,127,133,874,607,608,141,763,231,082,449,366,687,
262,756,028,663,761,941,365,935,717,146,309,227,584,853,843,615,386,402,483,
358,029,576,254,361,441,700,783,417,914,761,983,975,882,914,548,589,171,373,
134,815,096,713,104,391,306,257,952,664,935,985,505,645,291,985,761,580,251,
343,394,057,274,048,157,069,813,841,660,278,824,166,989,047,317,772,895,920,
058,975,828,167,593,640,325,090,930,729,227,879,971,848,335,651,020,334,889,
998,498,804,722,911,956,826,267,466,540,453,071,411,880,054,624,334,828,535,
006,287,733,699,699,710,107,488,094,294,333,409,725,308,724,644,633,715,919,
004,298,330,966,068,442,020,866,166,961,013,341,210,030,093,846,315,431,815,
546,064,369,824,293,653,845,207,956,415,374,932,645,379,966,666,188,311,729,
644,065,254,059,876,355,705,197,335,158,590,886,719,723,296,429,760,236,465,
797,214,736,910,645,476,259,752,307,589,448,524,061,861,037,269,970,353,454,
834,644,081,148,035,515,630,180,689,835,562,826,911,472,624,505,203,562,876,
398,582,151,547,175,485,312,886,836,821,870,878,439,933,611,462,254,153,536,
096,774,130,760,952,231,831,433,658,980,949,873,569,992,266,526,723,064,990,
051,153,619,308,848,318,985,854,141,465,836,872,306,702,286,417,679,095,098,
508,382,708,977,948,549,467,180,133,932,620,515,300,287,071,261,442,712,008,
385,284,009,601,505,715,297,632,451,926,676,882,979,561,751,090,333,273,592,
989,698,931,174,692,408,661,146,659,230,966,262,083,704,688,820,587,792,212,
467,547,785,887,500,280,359,254,423,483,693,600,732,504,172,643,871,892,973,
281,930,803,407,165,266,533,455,738,995,901,702,691,515,220,210,911,178,001,
127,933,438,273,089,309,222,685,760,607,967,317,425,984,267,123,350,798,077,
988,563,818,290,830,120,832,557,333,349,557,098,809,474,569,419,975,347,087,
582,788,780,197,889,600,758,868,837,508,083,393,041,067,462,114,337,356,763,
652,346,691,829,019,045,495,723,735,645,736,919,507,047,253,133,449,809,001,
849,130,478,406,097,845,264,188,859,074,869,643,645,300,109,814,622,146,970,
050,796,442,179,393,756,391,744,515,261,426,660,372,361,106,710,442,351,508,
327,928,754,834,612,991,331,685,032,938,920,543,078,076,757,249,832,992,124,
939,656,114,242,292,828,579,296,830,391,588,696,814,725,939,056,724,226,224,
321,618,735,833,287,209,004,223,641,326,341,089,111,129,883,965,111,244,213,
708,563,922,034,683,209,876,039,817,353,344,007,587,736,075,528,639,698,037,
380,583,255,284,629,037,017,335,072,534,406,759,978,384,996,376,553,138,871,
854,191,146,960,266,897,032,980,723,027,931,486,248,787,488,729,202,303,371,
458,389,557,372,133,687,012,283,490,152,170,099,044,511,371,793,871,504,116,
358,990,559,009,677,276,711,436,062,913,046,166,357,394,068,304,503,870,793,
889,727,458,211,736,231,397,429,031,590,533,543,014,648,281,977,659,612,971,
554,129,569,771,184,083,786,998,969,824,827,398,427,575,340,147,610,531,605,
979,497,505,533,411,324,963,100,575,021,509,371,268,610,295,029,569,351,760,
191,851,704,275,926,031,721,409,288,010,598,581,035,162,684,190,927,063,676,
641,859,003,863,544,982,700,602,519,610,414,798,315,356,033,456,034,960,336,
058,541,181,786,282,097,417,134,763,652,062,041,982,070,522,968,781,247,562,
641,085,607,856,568,376,140,691,422,393,242,779,462,963,706,803,536,769,095,
541,845,305,583,673,822,374,260,247,960,503,746,533,163,788,190,242,429,608,
173,635,442,059,589,437,823,034,135,724,943,800,710,761,001,809,827,515,072,
669,480,081,329,177,548,988,227,102,555,612,993,176,537,287,618,283,491,273,
923,622,570,561,758,243,329,652,859,090,782,775,618,960,151,679,833,660,744,
698,876,721,550,880,694,034,951,978,014,962,857,964,065,855,230,160,147,578,
835,705,755,917,485,160,020,668,455,498,456,897,062,713,435,898,761,071,460,
007,643,893,926,566,784,037,081,795,724,016,965,272,715,936,166,721,643,839,
920,684,322,052,903,454,019,549,425,891,429,356,727,769,024,233,714,564,975,
963,136,819,623,187,887,568,838,526,688,107,351,331,270,209,311,042,308,253,
216,619,657,588,143,268,481,937,770,927,107,811,317,043,894,736,828,007,809,
105,339,007,792,088,218,369,164,105,352,995,201,563,314,284,865,830,307,397,
054,117,041,570,088,641,335,189,257,856,434,589,531,022,774,095,027,454,595,
591,514,175,499,487,019,671,760,700,191,671,198,282,961,459,370,796,870,435,
835,786,330,674,178,753,101,991,822,117,921,916,089,009,446,428,412,643,148,
318,235,485,494,143,807,348,534,058,264,965,461,789,921,575,249,798,075,440,
969,830,627,448,641,990,271,219,112,213,879,395,330,785,149,090,081,768,319,
556,632,806,760,405,649,611,196,505,006,120,800,239,088,543,835,756,096,728,
300,436,432,729,762,791,218,846,003,109,118,137,415,560,741,346,764,722,587,
779,270,345,346,691,337,801,436,344,894,778,027,319,152,109,923,578,401,446,
737,251,406,526,129,648,298,140,562,784,700,765,724,231,343,363,499,211,081,
895,677,355,536,499,235,393,098,237,991,043,663,425,035,951,916,108,082,030,
347,944,397,684,805,475,391,800,751,146,154,138,879,831,497,476,686,244,068,
756,173,440,670,310,822,028,339,698,025,420,440,281,450,038,669,341,663,784,
714,637,071,275,711,218,488,320,560,409,324,568,614,206,250,247,609,714,560,
616,554,095,230,587,385,620,566,939,002,151,628,864,081,786,075,531,559,193,
354,431,486,593,676,335,044,658,087,513,490,594,069,171,495,540,568,942,236,
114,885,486,939,434,921,425,887,060,990,076,807,896,642,747,320,670,599,963,
311,137,980,734,078,445,967,589,530,939,931,313,485,771,503,487,736,987,367,
243,743,905,735,180,849,516,598,229,652,742,654,106,945,674,336,535,821,219,
880,551,782,572,811,138,590,321,989,302,676,622,903,512,331,368,781,125,444,
602,885,771,307,330,755,623,866,410,310,573,993,762,128,909,865,842,340,121,
008,730,630,476,793,056,046,708,542,228,823,466,471,375,053,926,363,065,611,
275,146,749,373,752,295,999,320,356,912,632,971,760,492,993,507,487,526,490,
257,693,123,935,072,928,550,737,549,825,756,478,806,781,944,597,600,029,210,
943,983,874,887,365,399,124,609,873,905,127,676,713,613,455,158,816,556,360,
164,106,042,023,884,422,188,394,867,443,422,664,737,498,028,693,003,942,618,
948,096,124,672,299,618,360,102,203,009,157,415,140,239,235,292,473,443,638,
616,107,730,339,387,545,006,899,977,835,047,261,103,142,663,785,206,170,553,
653,734,189,552,090,747,624,795,025,887,947,402,554,153,475,890,909,258,031,
204,713,757,285,187,686,713,776,902,327,633,682,159,348,532,973,291,068,323,
466,496,733,652,690,753,919,796,821,203,996,574,875,594,960,859,179,192,884,
176,094,611,899,871,693,492,012,691,550,372,539,462,128,317,289,965,177,987,
615,090,147,066,317,953,419,479,575,477,214,634,515,676,685,405,058,587,755,
904,498,132,897,831,764,544,094,699,303,130,028,862,725,744,215,583,865,556,
774,674,180,894,817,302,347,257,502,041,622,850,823,700,554,153,946,037,067,
773,132,949,190,406,538,750,980,007,578,216,745,215,077,905,822,427,334,323,
758,189,114,616,084,322,596,693,887,276,405,572,127,825,885,895,653,227,930,
502,048,964,477,403,478,118,668,968,335,299,294,338,854,162,703,267,385,438,
827,448,958,827,022,610,265,677,899,277,609,103,847,048,913,971,621,412,481,
550,730,969,188,880,986,223,353,060,841,249,697,279,305,539,287,212,922,234,
605,747,242,423,147,909,085,844,213,866,942,321,132,169,153,948,247,535,949,
622,570,756,724,754,996,069,205,183,984,459,096,795,171,258,785,798,433,738,
229,727,181,041,739,144,381,751,904,100,441,343,132,418,303,024,045,156,325,
411,905,746,299,144,911,456,212,473,492,897,887,127,673,759,416,167,273,591,
939,179,380,846,286,165,504,857,867,620,160,865,050,047,077,329,162,858,544,
041,361,573,936,630,317,042,411,058,174,434,663,036,889,604,164,367,952,584,
551,817,769,967,102,694,402,873,867,076,046,223,051,210,664,021,485,030,046,
447,906,926,306,199,403,478,669,382,769,800,799,272,245,248,654,261,633,220,
306,852,816,638,371,126,266,576,055,862,920,977,259,449,642,898,854,154,737,
710,403,954,261,828,200,274,386,362,451,191,105,461,767,268,310,045,152,860,
558,322,532,471,218,669,276,755,740,318,523,338,075,484,006,421,270,646,491,
050,725,763,781,609,086,098,837,757,651,593,661,664,924,120,387,773,854,642,
875,679,245,888,587,299,206,780,655,715,248,594,515,721,439,815,219,182,614,
241,264,336,984,749,679,330,247,789,108,585,824,449,526,035,537,825,968,910,
698,358,077,275,132,141,217,998,555,898,792,390,326,609,468,518,962,598,252,
903,931,383,274,260,337,806,617,352,342,863,665,698,556,233,028,988,423,595,
020,656,136,019,226,432,099,317,715,084,562,997,507,683,226,236,317,963,284,
068,891,454,039,048,321,281,957,159,862,884,729,249,419,256,694,921,054,802,
719,435,554,925,400,546,638,172,861,740,301,166,901,307,559,875,971,976,178,
317,263,683,545,125,084,693,275,808,979,740,020,361,421,212,249,386,622,475,
474,345,099,790,326,556,137,224,262,816,098,093,006,371,290,102,163,055,939,
949,713,757,653,895,174,732,744,718,302,208,471,099,867,189,880,155,914,479,
354,223,886,875,659,402,972,424,677,616,612,072,879,960,492,998,591,373,409,
957,621,798,211,849,849,880,310,386,219,950,862,277,498,958,892,660,862,358,
791,291,643,397,332,452,100,132,855,481,489,082,310,949,079,063,894,207,082,
701,748,896,715,880,123,572,005,796,688,519,247,902,274,952,785,848,428,152,
518,992,244,214,530,933,818,016,721,766,942,377,722,457,722,964,615,745,090,
968,509,968,416,266,956,944,001,313,704,305,301,692,117,099,473,257,842,246,
753,718,637,390,190,279,657,816,130,149,917,972,580,515,279,410,762,035,372,
354,288,435,828,341,589,622,762,498,399,087,727,650,441,614,247,736,497,494,
245,904,924,172,420,662,414,245,069,530,854,781,399,495,123,949,357,200,827,
652,725,732,099,998,046,420,201,460,966,632,164,374,731,615,290,009,289,822,
559,374,896,678,299,048,226,567,125,405,126,998,256,323,447,588,463,110,085,
699,554,113,787,896,240,757,099,206,264,832,002,340,594,388,956,610,875,953,
541,596,622,251,810,072,386,166,260,994,766,408,411,907,993,827,067,730,281,
756,987,882,250,128,059,869,760,532,098,998,209,178,581,133,348,841,914,277,
560,042,595,379,780,424,685,077,726,737,049,823,600,142,976,057,141,765,960,
945,709,031,386,585,045,442,313,911,474,508,505,413,872,720,713,013,767,626,
571,158,455,379,526,843,776,966,360,637,542,453,137,909,462,740,505,942,916,
481,409,848,634,445,749,484,918,973,027,587,762,499,541,445,269,640,774,755,
481,298,915,934,457,131,036,690,434,799,995,768,852,711,310,058,080,075,417,
454,525,977,775,569,009,804,935,492,532,066,525,453,956,869,629,703,384,890,
032,576,015,793,842,657,445,705,098,588,387,851,071,732,939,355,538,790,721,
946,131,442,797,403,701,121,201,537,845,432,219,222,981,308,450,831,612,767,
630,059,976,206,480,098,665,247,945,314,220,690,548,296,269,565,722,793,957,
797,443,010,195,749,827,305,970,689,329,572,698,165,320,839,725,270,371,720,
216,220,963,660,188,384,509,025,621,853,504,303,482,362,924,313,944,707,229,
441,632,393,520,861,629,750,255,435,532,593,023,486,818,281,499,728,641,869,
032,120,256,656,557,816,669,818,542,568,550,462,371,098,249,226,688,161,764,
335,193,570,298,110,157,257,872,058,567,143,162,544,634,698,875,110,157,993,
942,456,078,503,347,319,900,866,194,908,614,655,538,962,372,850,709,723,254,
788,114,107,803,594,105,251,225,213,672,081,677,181,054,266,723,585,796,518,
501,241,842,686,664,312,883,685,688,916,265,849,144,108,935,567,871,302,877,
640,703,634,706,251,908,898,254,185,337,763,815,326,069,676,815,611,431,314,
584,086,363,896,473,935,585,851,434,777,708,050,592,527,498,517,744,144,485,
564,189,683,468,798,787,269,443,445,770,951,406,906,005,518,001,196,972,364,
892,202,510,694,096,553,375,323,892,694,395,628,390,103,767,263,751,911,117,
231,113,862,833,905,931,998,070,119,899,332,626,759,607,208,526,392,811,388,
361,673,952,466,251,566,045,458,693,614,530,409,463,241,348,348,049,386,610,
731,415,998,136,810,859,777,326,243,719,125,255,295,659,598,830,874,185,659,
978,230,904,446,406,986,435,447,104,337,005,752,344,871,869,668,665,839,650,
066,958,018,116,730,935,753,779,007,857,289,532,983,956,439,893,575,861,979,
775,466,177,037,547,248,785,691,197,916,506,615,452,063,935,264,910,306,378,
960,001,037,802,069,208,219,703,172,673,936,711,736,076,827,091,633,557,178,
616,109,515,205,410,779,278,479,865,395,202,813,517,108,482,457,700,370,436,
772,170,266,338,023,210,874,973,499,648,947,894,021,075,932,796,374,937,188,
881,637,317,815,343,930,710,779,303,621,644,945,233,297,396,209,287,109,628,
226,682,174,768,446,678,508,273,925,154,984,837,331,099,393,385,725,648,122,
671,477,257,469,613,258,430,344,825,640,835,248,920,087,587,215,345,058,328,
794,256,763,092,959,016,084,854,757,836,860,911,528,563,807,669,386,331,196,
658,911,123,390,350,699,179,534,673,901,022,864,781,141,734,914,353,476,666,
098,353,676,286,207,016,429,970,206,435,711,867,281,659,846,303,648,001,966,
818,533,732,963,656,940,535,633,971,617,459,726,311,324,325,140,884,476,514,
632,613,112,573,860,030,239,843,341,849,284,538,155,363,605,703,816,923,944,
978,253,266,178,449,108,326,291,156,540,255,843,771,331,453,125,062,245,804,
478,660,724,373,463,942,649,277,866,074,396,629,011,491,211,896,781,014,802,
458,181,992,717,609,555,849,486,068,849,570,078,967,476,211,533,812,131,816,
763,436,795,472,475,000,285,846,593,173,674,639,612,046,840,687,150,124,189,
739,532,142,343,507,811,470,727,096,111,889,646,257,435,466,352,449,142,076,
213,862,388,719,316,544,774,936,937,030,835,832,189,454,073,520,751,611,441,
102,754,315,297,035,445,899,990,430,390,521,133,154,435,943,379,263,088,562,
828,548,093,796,791,788,791,008,543,234,560,123,661,704,878,353,400,629,843,
043,854,950,530,976,894,613,335,596,630,124,162,192,954,177,112,207,181,807,
771,160,412,629,528,197,862,956,414,712,106,256,594,111,565,906,239,856,090,
123,318,719,496,958,636,326,806,121,948,022,832,908,249,229,999,440,545,204,
905,501,169,623,190,770,293,213,811,801,572,620,225,612,756,579,498,118,479,
908,582,845,238,766,132,071,859,278,238,710,817,239,420,459,499,294,738,820,
749,000,906,802,930,305,527,477,511,861,116,084,046,177,965,547,830,748,676,
774,135,600,270,291,877,420,023,525,978,308,132,038,513,865,271,781,079,002,
506,153,290,862,758,114,175,426,407,133,829,282,052,966,124,045,414,624,941,
342,898,411,355,316,941,533,495,315,945,767,090,240,436,552,039,803,307,457,
418,013,355,170,123,818,539,930,814,041,689,025,749,499,937,578,594,299,973,
051,769,353,083,242,494,443,059,698,744,833,302,574,907,386,280,809,656,726,
559,598,212,230,283,741,942,798,827,666,120,692,369,009,379,527,211,708,365,
373,001,360,701,793,951,927,880,459,605,327,753,849,298,168,317,382,230,196,
628,293,353,845,106,911,301,451,521,009,184,864,881,777,045,243,672,396,573,
688,554,972,948,799,533,747,572,577,789,886,714,429,426,828,431,444,772,712,
705,156,994,730,926,750,706,785,577,604,259,472,540,291,833,133,640,637,100,
005,996,903,120,042,920,138,634,340,203,727,237,353,524,702,042,046,376,724,
963,585,245,040,284,367,647,499,140,297,303,468,706,847,416,199,111,119,081,
559,730,348,322,426,857,778,057,937,551,050,757,912,047,387,044,296,388,724,
436,723,075,324,620,290,228,778,342,636,279,524,150,518,137,865,359,850,362,
199,913,042,262,418,962,931,306,835,680,510,887,499,435,296,928,525,440,001,
089,101,152,850,459,401,236,546,671,565,065,641,985,936,558,835,150,394,437,
962,888,349,699,041,566,260,011,365,061,494,635,407,864,884,172,735,351,362,
864,080,389,643,041,181,463,494,737,420,588,129,362,270,122,674,837,874,398,
761,435,156,702,627,617,577,357,387,931,433,612,833,004,629,269,087,119,236,
796,780,903,819,229,915,799,206,807,193,557,516,773,356,105,447,418,557,825,
904,014,325,298,918,008,323,140,040,093,782,190,247,825,592,022,107,361,907,
221,516,833,431,429,440,902,389,897,096,176,303,134,531,224,842,887,405,164,
691,530,725,402,700,137,875,991,892,761,962,640,852,351,052,073,768,088,231,
021,786,479,314,513,200,687,775,915,791,524,551,277,568,854,202,569,998,178,
864,919,518,135,036,434,862,539,478,715,312,102,747,652,518,246,632,014,329,
189,144,517,791,593,416,998,674,023,951,672,045,531,701,108,043,708,128,543,
515,381,245,044,010,600,104,916,319,083,820,239,754,685,972,921,237,868,129,
366,813,853,669,518,900,384,325,837,183,353,015,433,974,898,567,469,692,851,
232,198,383,298,815,156,472,969,277,427,486,492,852,618,895,333,872,344,461,
397,706,393,792,928,988,136,595,705,287,639,149,344,919,335,104,971,053,385,
472,493,613,266,404,228,176,856,581,825,816,189,952,425,214,716,104,208,068,
215,912,390,561,770,802,130,758,854,020,138,318,689,261,004,482,518,754,613,
689,028,684,111,835,802,823,143,644,548,709,356,259,410,870,865,253,934,161,
898,348,343,913,389,225,040,242,478,921,985,479,646,334,940,876,383,032,797,
660,346,155,670,918,844,647,094,021,957,491,956,747,511,567,217,494,438,253,
884,359,247,503,082,643,324,468,824,431,965,055,916,277,770,309,302,391,506,
910,571,702,130,866,046,619,628,505,456,203,160,087,508,780,901,105,104,851,
853,378,794,768,785,243,610,168,942,824,263,842,662,478,089,107,295,518,825,
874,020,442,947,684,684,557,209,001,247,189,065,957,460,340,837,715,840,397,
472,016,028,610,462,715,391,924,952,848,978,231,435,661,062,846,626,449,763,
319,540,464,124,175,138,867,828,142,743,298,476,810,206,291,948,792,348,875,
837,945,179,918,349,219,168,059,096,949,319,383,312,336,317,526,200,864,296,
261,992,108,228,709,810,109,414,678,286,511,843,685,256,538,205,114,377,885,
003,023,745,056,160,551,937,377,678,133,975,987,433,602,107,367,478,323,941,
193,211,905,221,604,935,183,436,765,847,945,397,959,863,745,093,555,411,265,
429,480,904,963,463,238,762,142,248,735,328,311,346,649,366,199,200,300,761,
963,794,107,974,348,411,462,841,261,275,810,911,695,590,559,116,852,248,113,
012,605,536,707,326,589,794,796,968,450,264,911,354,440,604,511,226,453,964,
890,553,171,468,943,451,181,675,757,285,538,072,539,001,364,740,352,403,935,
386,874,306,358,549,172,337,687,154,621,886,149,032,767,265,491,527,105,824,
368,310,320,927,557,786,599,826,007,220,496,558,482,209,782,396,624,296,602,
209,769,588,602,964,132,990,185,446,538,966,452,517,025,701,331,867,284,610,
675,199,871,430,687,084,800,037,629,370,432,857,463,522,987,906,142,995,331,
809,299,120,768,456,864,871,747,265,132,550,604,286,920,200,292,409,171,013,
978,747,576,392,932,848,733,789,332,805,047,986,853,800,131,813,586,511,573,
847,040,453,207,615,819,290,181,129,641,560,128,574,029,191,528,238,764,310,
087,751,472,283,383,608,419,862,554,050,262,191,948,535,449,736,499,588,609,
953,688,105,638,999,739,589,560,131,528,905,365,255,864,090,810,915,725,243,
539,215,391,368,255,529,707,724,029,272,493,573,359,461,476,119,961,323,167,
679,294,938,341,448,820,817,409,018,082,510,280,884,026,619,923,731,977,918,
044,969,053,584,032,825,176,135,042,446,463,188,678,891,343,816,373,065,405,
666,450,798,186,986,409,729,151,704,178,776,003,383,005,143,946,802,866,628,
006,474,510,697,490,066,331,221,159,716,507,488,208,440,227,603,883,644,155,
164,248,609,648,675,140,750,148,549,243,193,238,934,101,666,028,871,717,264,
250,712,533,890,417,560,034,111,937,736,251,012,046,500,473,040,394,664,303,
868,116,963,808,916,998,392,058,109,426,644,213,894,553,197,676,721,958,718,
133,126,394,369,888,370,753,771,633,020,376,964,747,087,468,019,890,649,845,
549,962,665,959,315,925,662,527,612,440,427,971,916,749,832,880,025,669,934,
836,292,487,545,654,363,351,505,373,173,666,048,972,577,865,295,362,922,769,
027,587,522,579,549,026,293,174,149,091,392,345,043,262,434,118,182,206,335,
412,049,932,936,083,013,300,905,666,559,350,268,898,966,964,239,886,059,015,
494,636,601,099,975,917,524,446,238,666,950,053,171,014,349,148,845,090,811,
031,855,663,652,175,336,450,930,303,261,963,568,075,626,575,277,992,185,898,
171,548,435,364,252,316,945,461,673,147,859,172,198,038,330,620,247,574,506,
683,507,278,468,348,980,909,180,687,064,780,951,264,535,878,655,028,715,348,
109,184,180,990,173,754,784,518,689,548,813,171,780,077,994,823,488,353,088,
616,113,378,789,888,758,795,110,843,925,489,018,421,750,986,110,201,147,229,
258,451,287,522,899,143,092,020,277,437,950,903,707,039,114,168,174,513,204,
325,272,327,449,768,878,489,782,645,690,293,880,555,642,395,857,002,620,485,
870,316,983,691,482,047,665,749,916,838,973,132,798,898,193,621,561,807,186,
097,596,234,164,213,821,800,284,563,045,148,488,502,053,192,011,072,239,098,
484,792,741,927,662,819,215,586,499,194,720,185,788,421,217,424,907,493,358,
819,279,162,296,815,649,876,973,150,086,348,882,292,516,745,205,231,980,817,
075,820,414,683,947,658,745,802,982,684,547,023,787,029,698,633,227,796,396,
150,719,866,061,169,983,657,360,259,213,563,190,254,219,845,752,347,526,162,
748,193,354,764,159,967,011,237,088,275,859,173,803,063,823,194,156,090,655,
078,711,898,536,885,960,577,652,255,101,555,245,353,519,767,560,043,359,622,
436,437,381,839,857,880,864,769,774,368,390,896,473,657,107,270,231,456,198,
356,624,603,108,852,609,436,634,436,687,525,650,104,507,289,754,908,288,799,
836,443,879,850,739,801,137,013,205,837,716,516,756,691,478,217,299,403,274,
954,898,045,559,110,940,475,785,135,307,659,821,086,211,893,505,329,617,851,
206,960,484,970,395,816,983,239,212,037,266,563,615,158,870,108,548,147,744,
938,109,881,241,331,630,369,667,364,049,401,096,860,637,829,684,541,695,398,
427,852,340,949,165,157,157,531,972,247,896,490,745,821,239,412,182,520,619,
432,626,819,772,286,572,632,314,493,770,618,225,227,763,712,302,375,779,169,
776,930,749,119,745,872,828,676,905,081,945,913,359,376,298,894,173,859,573,
442,658,073,512,665,302,326,860,061,923,986,496,610,833,862,572,289,400,957,
204,627,361,590,703,003,131,581,354,498,776,263,879,419,097,611,762,355,594,
352,791,548,698,646,874,100,664,735,154,360,847,602,546,311,098,394,687,864,
248,429,901,558,446,797,324,077,535,722,100,865,306,381,081,802,868,923,354,
207,431,385,007,868,715,195,369,040,381,056,459,814,927,295,171,402,916,226,
037,402,055,755,714,061,262,242,501,804,922,971,778,962,378,624,134,174,639,
031,812,095,241,750,281,483,886,215,684,627,629,795,370,528,277,411,322,826,
806,759,581,721,757,058,074,238,302,882,034,314,742,515,210,598,393,724,742,
684,210,472,188,232,978,923,769,467,667,123,997,702,414,483,209,983,327,472,
231,682,714,303,691,671,835,161,645,922,003,965,148,901,098,622,105,739,156,
105,201,511,105,378,373,868,484,896,966,088,369,737,111,409,582,698,215,345,
647,786,833,136,317,682,126,485,705,961,650,295,984,521,439,057,758,858,166,
109,452,477,600,071,630,219,368,423,413,910,761,752,034,216,077,699,943,657,
994,387,968,088,496,346,216,664,924,030,136,063,033,860,207,113,235,755,844,
923,376,326,857,337,154,816,464,662,104,542,284,991,093,400,726,504,242,230,
515,512,686,153,147,344,138,824,120,925,172,289,195,673,243,794,945,959,627,
202,287,403,664,504,658,892,876,725,978,602,534,221,788,964,506,449,196,764,
138,518,084,371,567,857,322,138,762,765,080,429,403,975,522,016,110,809,945,
296,507,886,420,414,358,670,608,662,750,113,434,230,473,654,039,956,122,479,
262,857,129,368,471,716,869,299,647,374,635,103,962,500,293,378,240,311,831,
300,676,018,350,402,177,331,478,247,437,715,739,316,086,100,382,547,421,658,
868,913,884,518,134,990,247,536,666,905,728,933,291,930,887,745,850,938,685,
224,618,130,626,936,644,232,247,684,910,340,142,733,211,787,143,196,366,246,
545,507,730,892,799,491,585,420,299,034,807,234,319,071,207,772,859,568,772,
633,839,700,091,333,445,415,689,227,195,084,643,361,370,105,354,967,364,214,
204,579,224,193,785,741,370,352,308,730,446,044,930,449,052,732,231,900,346,
631,835,359,408,156,226,771,673,151,456,204,204,083,014,501,089,492,315,782,
311,576,760,614,163,860,790,178,799,311,522,292,629,849,865,560,314,887,136,
141,229,969,066,805,314,427,942,566,212,337,631,902,567,063,790,396,500,248,
036,252,593,455,679,850,585,215,320,834,120,099,893,271,865,718,468,745,964,
507,173,279,208,798,771,370,922,558,957,831,495,000,107,585,231,653,072,805,
277,091,486,665,704,620,557,247,787,198,583,066,977,410,590,111,874,686,129,
430,939,254,222,205,120,101,155,847,158,959,735,594,596,124,923,351,547,776,
959,928,565,949,645,748,716,796,085,637,391,494,429,761,083,931,080,956,914,
099,818,373,261,261,569,515,220,365,211,332,199,154,040,600,625,315,206,549,
086,818,270,105,357,817,718,373,136,619,672,497,845,428,060,154,443,363,165,
741,080,138,645,219,973,730,766,753,158,316,168,972,901,413,440,077,479,912,
626,315,151,373,158,506,815,219,385,987,268,002,026,770,649,227,350,099,002,
300,223,800,341,144,478,518,175,327,379,614,383,098,484,348,386,046,632,492,
440,599,739,211,937,485,543,640,834,505,370,112,281,419,148,897,651,869,022,
683,789,042,951,166,147,614,687,922,421,629,155,585,997,287,331,695,858,767,
803,033,971,030,962,235,209,976,114,105,840,050,846,757,631,715,127,396,652,
571,598,914,241,577,050,288,676,781,302,734,754,351,082,162,690,789,268,323,
709,989,272,590,003,808,813,578,111,415,042,368,164,209,286,544,379,117,336,
564,659,205,052,541,600,591,493,777,388,586,292,752,897,019,033,407,636,518,
363,109,842,401,403,688,265,040,780,440,386,105,111,045,241,785,441,247,914,
356,184,852,114,823,175,636,884,861,431,722,662,887,898,794,068,194,676,166,
460,636,289,493,276,259,894,309,567,954,287,671,025,747,345,740,661,732,447,
383,364,614,744,783,155,485,721,084,008,174,846,288,632,385,830,239,624,731,
604,155,960,204,998,532,197,611,785,640,682,207,842,044,229,031,042,289,583,
629,597,502,014,131,429,966,139,625,949,066,372,859,309,518,674,951,109,013,
792,747,171,052,140,535,593,004,938,840,095,119,666,812,649,065,710,641,483,
063,311,173,438,049,974,276,268,475,432,370,279,295,528,245,853,866,013,354,
912,699,944,719,771,286,089,773,499,225,550,089,786,169,135,859,635,188,455,
265,847,555,305,927,754,451,194,761,063,068,454,521,401,071,143,390,652,981,
855,974,010,149,121,956,399,310,516,966,859,592,824,966,189,033,729,379,542,
882,500,904,183,149,924,368,982,691,498,709,958,418,103,013,471,641,398,595,
936,872,105,167,668,345,912,288,352,643,917,144,452,281,404,209,379,222,956,
950,407,051,086,328,188,126,350,261,633,220,814,341,547,606,985,349,393,529,
888,385,376,797,255,495,061,685,255,071,671,261,593,075,443,408,693,252,283,
702,039,662,759,526,315,934,384,146,978,252,891,618,239,988,796,121,358,890,
617,620,247,346,929,411,987,202,254,301,285,277,990,800,427,295,350,929,008,
118,533,254,473,864,540,371,178,597,756,054,153,461,066,855,302,189,797,595,
711,463,405,117,034,145,486,846,815,407,881,824,004,973,822,289,971,243,651,
649,044,476,886,702,874,621,105,426,749,991,306,335,836,158,193,212,317,665,
947,991,840,107,019,560,385,635,985,666,379,233,932,960,479,047,701,447,771,
574,903,733,512,540,699,108,285,510,078,383,817,663,084,473,093,469,182,308,
451,718,301,816,968,410,462,203,576,278,366,775,407,780,260,011,071,711,868,
499,933,936,668,708,395,964,812,535,211,949,168,826,212,436,711,813,207,308,
034,089,695,077,196,496,970,651,451,381,730,747,013,723,514,427,354,295,246,
655,203,205,418,790,951,370,979,650,609,336,709,158,072,856,337,915,700,031,
352,443,548,718,598,248,572,092,577,718,519,431,225,679,359,443,798,251,978,
004,214,908,968,568,866,906,594,852,211,142,985,948,712,772,255,621,192,977,
797,857,918,929,042,484,263,791,477,962,144,606,299,500,020,904,463,635,569,
574,615,210,428,520,055,529,324,616,006,542,065,960,497,173,609,873,450,783,
789,382,980,223,365,846,754,126,053,826,596,545,438,957,025,642,778,935,728,
948,395,405,817,101,513,499,033,935,373,129,879,547,253,855,614,355,861,176,
191,996,315,077,548,042,598,641,285,353,333,492,097,671,196,031,488,509,234,
924,109,743,837,996,891,103,769,079,104,823,914,104,171,094,278,378,802,602,
164,713,901,204,228,410,523,548,789,310,915,509,115,589,333,153,243,535,786,
116,669,632,233,154,488,868,548,493,353,141,111,331,105,121,944,935,164,330,
844,880,664,827,270,752,893,661,695,198,284,847,221,647,222,078,076,021,780,
279,122,490,379,238,341,138,404,267,059,350,670,123,560,181,848,134,320,427,
889,225,151,064,718,317,930,688,900,010,780,087,691,821,076,317,398,974,769,
751,373,313,335,423,358,341,450,822,547,266,696,258,580,756,741,473,956,058,
567,147,668,105,743,311,061,502,792,976,781,973,625,221,747,676,600,432,633,
979,656,889,138,902,621,419,101,162,188,870,035,069,301,869,040,349,237,621,
472,817,839,090,461,968,545,027,450,018,769,398,300,118,361,708,669,103,450,
789,229,524,482,529,672,568,221,278,335,766,870,259,499,567,396,409,757,127,
390,183,475,156,300,728,525,733,678,509,426,818,046,952,699,327,237,988,865,
418,155,158,831,546,777,553,787,097,000,224,186,988,556,691,411,006,515,436,
317,711,680,962,775,380,428,624,752,902,801,283,719,780,541,028,452,935,391,
512,466,600,120,051,888,430,500,374,603,195,323,630,898,072,771,812,832,102,
098,657,221,949,683,966,483,091,087,890,263,304,095,489,640,042,174,321,158,
472,591,567,165,219,746,693,416,168,218,118,853,776,883,018,513,863,771,475,
934,479,548,291,957,380,470,305,937,478,404,467,280,694,886,327,871,059,644,
517,953,120,500,586,658,521,786,534,043,462,322,065,034,988,636,708,891,390,
460,541,406,254,560,768,977,198,858,714,226,651,790,100,323,416,058,451,100,
349,548,908,750,706,089,836,919,425,574,734,377,973,745,037,777,151,436,728,
281,046,264,293,659,922,878,296,768,093,210,019,099,527,617,497,505,279,143,
358,116,639,402,729,605,492,908,231,951,480,348,875,496,256,935,885,064,147,
831,718,843,855,824,708,442,617,331,892,331,085,472,322,772,440,695,201,239,
755,605,782,775,023,777,518,878,203,042,607,154,201,855,404,689,783,416,589,
408,398,136,834,866,933,521,721,826,903,240,719,937,310,039,804,969,443,121,
531,717,642,350,663,636,240,139,058,272,355,586,168,187,089,824,466,474,893,
697,227,996,503,919,794,733,505,656,445,604,742,324,686,001,940,351,694,096,
483,435,462,815,780,083,026,443,273,436,004,054,718,189,833,445,655,322,103,
082,399,198,309,006,973,488,208,054,189,252,111,708,072,164,039,100,853,572,
927,038,562,560,354,614,213,539,654,530,372,831,573,412,302,774,419,227,605,
901,095,097,897,062,120,982,028,667,836,288,880,352,384,985,230,277,907,036,
313,669,111,066,513,535,997,908,755,195,856,782,842,348,012,924,642,490,117,
076,775,213,556,377,496,425,080,936,875,708,013,856,743,668,412,942,117,179,
812,797,031,947,237,617,553,223,241,840,342,787,330,530,316,487,243,124,105,
009,387,684,612,260,463,099,027,748,033,716,805,086,989,667,204,822,988,552,
856,415,627,279,044,113,712,992,679,807,245,532,573,583,720,507,993,155,635,
426,095,655,815,806,630,406,329,227,136,809,175,963,166,132,635,388,241,525,
030,933,737,693,067,294,408,711,687,146,060,294,319,456,520,133,554,934,877,
443,815,512,778,752,523,858,607,107,125,028,418,257,752,891,997,496,693,819,
868,465,140,818,701,566,831,405,977,278,790,977,365,637,125,721,478,096,228,
952,926,897,985,766,359,619,744,933,357,042,790,145,192,216,956,770,508,789,
663,443,608,920,484,822,356,789,669,462,787,282,262,762,268,638,789,778,341,
844,124,919,918,282,932,637,206,039,966,781,657,567,205,873,540,107,788,209,
555,429,816,105,044,510,237,242,564,500,558,194,854,423,630,757,229,423,472,
078,714,568,351,176,104,290,269,820,877,230,087,795,116,811,631,314,729,982,
922,950,559,702,054,738,514,078,615,234,773,787,915,951,171,431,128,053,542,
946,971,579,714,856,435,625,677,175,865,340,834,489,575,100,338,164,200,188,
510,679,327,372,054,774,912,654,008,269,738,910,335,275,859,802,349,266,065,
864,847,377,238,971,201,969,331,205,892,807,858,259,694,581,519,868,219,280,
078,439,586,071,578,457,699,655,071,032,961,324,552,863,169,710,215,020,707,
198,516,807,288,574,016,645,985,343,588,235,136,458,695,133,443,973,468,258,
365,793,113,117,004,210,526,079,183,718,117,895,292,234,866,967,062,063,139,
933,360,830,754,849,233,008,114,089,068,461,521,192,498,843,530,016,999,693,
578,719,474,010,711,760,712,417,042,436,720,871,398,557,727,949,855,456,231,
624,077,734,644,925,417,756,104,468,333,303,735,297,909,602,192,370,850,863,
277,314,219,476,078,141,036,397,374,423,635,966,622,751,568,491,876,898,406,
344,541,005,238,232,020,801,290,474,185,665,881,217,481,348,283,945,722,446,
641,618,543,171,641,725,636,270,130,999,672,552,343,602,465,857,893,212,937,
977,196,373,894,859,142,139,134,286,724,237,181,861,679,423,971,439,107,390,
336,523,703,721,846,673,856,823,367,279,871,573,774,393,290,808,537,206,536,
914,008,953,808,866,547,371,299,655,246,211,379,501,866,419,220,472,413,217,
588,329,216,349,858,652,074,940,213,806,171,365,400,185,104,113,628,961,454,
923,203,653,567,254,612,908,314,301,141,616,718,086,457,647,382,111,354,994,
281,673,591,327,670,110,662,371,174,653,507,549,034,593,995,288,895,118,976,
882,237,295,739,653,137,025,590,100,572,488,079,007,915,725,755,214,649,757,
712,958,597,593,468,054,771,935,811,453,844,460,158,041,466,069,936,351,449,
455,717,771,486,186,197,343,304,761,861,968,297,848,149,923,205,275,373,628,
276,948,217,679,733,055,321,077,341,996,845,755,527,305,111,882,966,411,260,
104,611,967,875,186,546,464,305,843,404,196,899,140,778,174,293,246,997,880,
130,396,238,262,130,045,893,007,321,647,770,360,271,340,743,161,289,511,142,
109,863,765,606,851,970,505,443,779,238,643,354,415,845,356,725,526,745,454,
512,796,267,930,069,300,439,329,431,723,953,697,864,867,988,853,312,377,146,
506,579,032,509,227,729,663,663,963,064,181,848,991,107,471,552,597,552,894,
955,199,377,015,886,392,274,450,571,188,577,771,761,398,277,571,298,383,149,
789,514,182,937,774,056,500,619,202,424,917,422,597,776,602,569,365,536,251,
664,376,889,856,417,610,234,934,026,471,030,561,590,989,251,442,082,883,889,
837,352,316,757,802,152,816,326,360,620,457,050,208,024,841,228,573,947,120,
955,738,116,408,575,520,135,550,299,478,647,950,590,903,056,939,439,910,275,
626,866,998,177,855,831,365,817,723,438,299,773,417,529,176,067,427,584,409,
617,672,692,227,349,549,389,233,102,257,553,262,826,363,785,946,121,410,396,
751,395,640,399,753,974,996,409,367,184,957,978,659,948,718,090,297,598,225,
228,887,195,182,224,507,659,863,703,468,990,389,624,651,294,752,748,795,907,
907,277,599,197,356,073,625,569,100,570,760,509,696,180,916,034,514,157,109,
875,215,153,643,769,256,269,544,197,570,969,219,965,326,248,245,155,874,076,
378,868,038,326,968,279,455,172,111,234,650,995,785,167,580,236,625,379,962,
601,618,480,827,029,027,633,956,690,019,947,084,573,085,916,448,836,926,725,
384,569,649,993,727,014,476,284,117,722,377,085,535,265,609,306,236,587,524,
889,731,796,510,170,302,197,661,411,772,573,212,997,574,721,152,639,458,289,
013,061,977,712,889,756,373,047,043,849,111,073,301,906,504,580,741,800,750,
627,111,572,356,071,084,436,846,019,710,489,705,229,229,252,082,167,021,800,
227,343,593,413,801,200,938,854,974,031,892,860,289,794,031,333,450,096,138,
555,648,627,059,958,530,036,494,201,323,462,191,457,150,987,986,443,059,406,
796,199,216,610,964,854,272,954,732,508,500,677,879,755,449,974,313,689,061,
478,175,329,203,734,325,653,671,743,885,042,066,922,340,849,463,642,984,257,
201,034,874,063,659,424,997,372,815,938,344,250,733,823,523,199,773,542,154,
107,142,390,078,390,100,590,403,866,439,215,116,697,198,100,779,468,943,827,
020,688,180,772,646,798,915,664,088,066,257,581,221,297,923,659,239,600,307,
746,537,762,091,720,184,448,724,390,200,913,347,430,215,223,486,756,951,499,
705,677,162,263,653,984,756,612,292,077,663,790,582,657,835,518,439,877,359,
537,539,712,040,107,408,514,311,622,544,168,291,641,886,308,419,198,487,348,
314,831,672,634,855,356,702,143,643,468,210,999,648,080,086,919,743,490,453,
763,456,489,756,706,296,918,032,933,279,714,995,380,730,922,595,469,960,958,
674,447,772,573,598,072,354,389,173,368,831,152,183,592,726,902,922,528,628,
423,280,279,104,192,672,436,550,385,970,935,575,577,680,491,233,672,472,164,
854,635,304,914,033,323,679,794,001,147,893,150,799,728,883,534,296,965,255,
852,563,820,835,250,682,875,556,823,188,926,714,305,161,814,403,373,445,488,
468,891,029,528,710,557,296,489,720,756,703,197,671,742,957,502,591,569,445,
362,106,862,273,637,314,995,031,190,572,818,099,432,069,986,337,227,205,084,
957,015,984,363,190,843,334,604,690,203,920,311,666,934,087,014,849,803,553,
651,150,693,603,675,457,338,165,067,173,523,752,651,850,025,470,185,862,808,
755,382,241,522,502,671,726,874,468,160,811,286,166,391,864,399,721,603,247,
247,527,261,898,753,225,091,798,232,867,179,836,687,418,226,891,248,161,890,
005,648,685,800,462,225,410,613,661,463,399,112,111,858,839,923,242,209,711,
658,389,695,577,301,188,182,706,482,110,385,149,381,678,375,700,624,948,367,
338,907,712,979,903,573,660,782,121,430,314,202,368,830,121,162,801,446,671,
276,252,143,506,913,401,645,537,844,712,813,493,700,760,443,484,941,204,976,
696,272,463,021,909,240,159,778,561,892,054,749,948,433,140,785,067,440,783,
183,496,224,657,157,570,966,943,859,465,264,970,150,315,828,066,033,178,933,
936,949,554,243,507,460,330,922,615,361,093,199,286,795,377,967,752,960,346,
595,512,061,788,178,038,166,625,949,951,990,207,402,534,152,006,057,208,149,
371,119,842,808,528,541,632,235,726,486,063,301,283,647,158,749,932,090,624,
671,432,431,897,543,994,274,014,755,204,996,153,728,914,516,101,905,525,832,
467,104,920,531,877,157,991,980,335,046,556,693,941,849,998,331,142,401,128,
744,746,920,593,114,688,803,837,136,550,502,784,799,309,480,033,106,300,153,
892,018,002,085,497,675,708,223,945,257,860,108,409,157,663,797,285,756,358,
444,520,460,825,961,078,539,557,374,099,558,017,049,879,049,830,977,108,267,
301,800,204,456,252,487,644,288,484,848,558,554,635,908,415,510,663,225,791,
954,477,029,658,793,338,812,519,238,606,246,353,124,272,926,414,342,646,027,
554,761,883,591,695,246,291,890,228,246,832,153,212,996,463,759,009,931,242,
071,497,898,720,150,033,662,544,992,064,906,320,842,651,396,700,808,373,053,
869,930,847,584,701,402,074,051,692,198,986,536,548,810,731,824,056,369,948,
596,139,282,776,917,637,398,055,203,136,537,940,250,575,291,465,177,784,456,
889,185,966,428,037,672,073,045,475,016,953,941,559,794,203,763,008,069,660,
160,306,765,868,824,441,234,698,455,615,390,204,697,622,356,534,893,824,574,
166,368,944,082,746,303,359,431,066,193,293,377,703,637,300,494,728,360,562,
753,386,777,969,178,020,084,563,093,080,525,305,788,927,144,542,713,823,103,
725,302,940,221,035,253,020,911,016,813,210,695,395,310,009,161,829,143,221,
932,089,461,386,296,619,231,599,040,516,870,307,344,380,246,830,510,650,207,
508,368,595,866,622,604,946,687,472,295,992,804,728,544,580,695,390,294,305,
977,847,720,491,124,512,170,823,044,832,532,720,138,802,087,535,381,766,971,
647,173,387,292,252,462,725,836,605,605,515,045,678,259,540,068,226,679,618,
125,627,272,710,184,454,081,244,907,476,044,361,674,762,482,326,045,568,172,
765,522,882,000,804,830,513,458,103,006,486,786,365,866,783,223,192,067,670,
314,454,162,302,575,080,944,517,626,916,314,469,856,426,334,465,540,206,098,
225,787,264,072,549,668,617,542,383,105,878,848,091,546,378,070,025,832,635,
391,882,424,393,517,833,088,351,645,195,245,790,925,052,133,884,413,621,340,
201,480,883,527,373,867,808,451,335,379,870,321,470,164,961,908,300,315,669,
741,979,519,012,122,081,526,735,789,442,038,642,537,019,818,733,864,337,983,
278,507,422,165,008,476,399,072,005,046,956,177,950,977,073,144,369,220,571,
384,289,228,088,722,597,265,647,069,460,495,305,332,959,996,511,634,283,207,
206,477,230,592,922,313,077,879,964,900,642,424,639,089,215,073,254,968,002,
299,796,566,696,446,121,732,651,696,000,103,869,091,618,132,871,048,231,213,
401,570,523,167,338,578,394,204,538,843,800,104,466,010,528,482,200,899,910,
477,355,238,223,451,233,590,419,364,152,368,013,029,317,189,069,748,026,375,
602,161,780,813,244,647,744,267,991,792,261,400,206,279,143,659,049,640,669,
030,220,933,902,573,338,060,107,682,802,881,194,918,714,443,913,509,434,474,
936,306,324,359,945,534,195,063,218,903,749,193,605,161,119,171,284,554,283,
956,249,455,468,428,695,051,258,305,389,978,916,719,318,283,128,278,654,446,
823,368,730,234,774,869,287,817,679,741,657,657,005,436,451,899,341,270,404,
019,262,520,740,002,757,386,334,741,273,982,994,872,512,013,854,220,766,793,
595,493,389,112,127,439,612,503,223,688,628,513,329,696,413,421,127,097,618,
895,675,789,984,985,104,978,736,599,069,509,197,482,850,959,523,722,140,712,
715,262,030,219,046,501,162,291,316,414,564,916,270,462,130,916,063,896,926,
838,365,969,060,180,619,424,022,640,707,197,680,260,351,476,769,738,138,822,
414,426,336,555,015,940,149,941,526,539,623,372,847,573,033,958,817,766,768,
155,696,795,446,870,604,956,547,856,896,220,313,449,087,873,543,991,674,316,
339,360,558,990,864,090,565,946,183,951,925,287,210,225,966,529,780,285,098,
597,287,484,119,655,678,208,782,030,486,104,025,125,473,934,977,418,780,767,
278,862,720,514,944,273,791,253,053,320,459,507,457,824,786,259,717,850,611,
849,677,211,587,122,006,918,056,527,857,238,904,478,837,926,980,455,251,033,
501,151,340,251,307,329,316,813,975,066,344,198,165,906,455,744,555,362,059,
965,995,375,359,522,605,443,349,547,973,335,083,661,807,159,067,857,355,607,
936,117,788,131,806,250,203,372,260,420,628,895,824,945,433,888,660,510,659,
131,643,298,612,665,469,699,151,531,785,133,422,214,067,483,662,309,137,164,
081,767,570,677,791,719,018,116,576,813,181,127,389,294,340,326,177,835,692,
628,539,043,253,988,531,423,710,525,755,655,545,674,282,860,242,194,414,473,
593,399,529,795,105,687,247,520,847,124,494,219,593,204,221,013,670,357,930,
385,969,631,691,584,315,268,085,486,640,720,252,639,286,130,190,910,507,942,
520,248,430,817,274,093,241,920,398,088,269,559,690,409,775,199,925,387,028,
530,616,434,263,793,887,914,465,842,448,745,681,548,983,495,722,375,835,503,
606,339,245,143,112,770,847,980,826,097,247,728,674,361,270,637,518,078,301,
011,114,773,611,291,331,095,846,513,457,764,252,709,439,346,132,845,911,156,
219,716,767,716,034,341,283,119,225,539,007,733,357,233,549,906,434,697,609,
174,249,523,610,763,228,595,711,950,170,946,132,630,090,091,198,148,119,766,
699,851,301,361,200,652,341,774,339,673,340,400,612,950,983,620,735,932,095,
324,207,063,288,472,472,867,928,546,128,025,772,017,008,495,047,637,997,250,
089,394,364,307,371,545,282,266,026,655,891,885,080,389,491,789,500,115,278,
538,180,859,934,909,813,596,826,202,423,621,685,681,751,919,834,558,642,828,
682,664,852,521,539,709,948,553,044,952,227,638,412,556,345,603,073,608,452,
966,995,847,373,136,065,212,691,940,660,138,912,937,734,187,600,472,031,174,
503,980,945,195,271,393,873,400,091,551,460,880,445,467,120,717,146,624,092,
721,348,623,338,563,989,253,655,056,739,450,843,218,265,098,979,962,106,179,
446,873,021,573,190,488,519,082,942,742,747,681,496,331,306,562,322,798,551,
959,441,825,705,630,769,942,098,516,795,154,323,843,067,197,798,587,786,671,
757,438,120,117,832,843,469,379,913,130,261,063,539,516,767,034,151,806,830,
973,558,497,295,827,271,342,547,448,117,383,186,196,833,696,831,278,347,325,
515,933,712,414,982,249,174,510,545,865,309,411,118,763,968,845,171,119,853,
868,162,200,700,349,064,839,252,078,854,437,721,103,792,960,425,813,004,989,
173,497,001,660,218,220,598,256,787,702,119,326,871,270,404,378,440,773,420,
531,788,587,519,626,215,286,841,677,763,988,060,242,284,992,698,793,750,318,
363,416,063,869,229,155,309,115,099,838,284,498,540,638,017,234,215,711,980,
624,643,754,970,485,379,587,285,199,060,496,907,586,416,792,698,580,580,104,
234,016,779,838,397,337,766,877,915,224,925,014,285,763,670,112,049,089,601,
446,187,005,261,479,309,928,191,157,291,155,010,879,522,690,469,761,925,399,
044,272,807,176,191,974,071,965,116,355,492,305,384,270,345,269,657,266,767,
757,930,279,856,335,277,707,156,628,852,855,380,996,536,306,082,440,057,817,
893,595,039,639,150,482,886,366,785,753,600,496,138,002,252,296,018,916,724,
399,426,240,192,505,240,820,328,014,550,304,039,462,238,526,433,669,577,409,
049,710,784,745,128,761,512,707,948,030,944,741,591,001,898,680,247,138,599,
725,120,166,558,411,335,815,192,752,796,077,153,454,420,046,884,155,547,338,
158,521,793,609,022,211,481,171,760,278,139,709,192,443,678,633,007,551,672,
896,667,882,787,628,859,557,623,508,985,678,106,273,624,237,829,038,955,074,
426,368,361,542,330,601,556,777,638,158,518,512,780,830,986,904,254,473,609,
488,404,109,221,532,164,903,654,878,275,258,628,293,940,733,900,290,488,266,
270,983,624,244,655,801,537,092,019,224,484,936,851,685,063,633,459,256,270,
286,431,579,486,889,080,286,884,602,393,315,038,735,073,765,531,920,745,326,
386,558,463,603,651,311,558,415,703,091,150,575,767,445,080,033,540,734,820,
293,272,018,433,991,157,567,337,446,990,843,022,649,458,862,211,108,532,648,
935,138,944,585,710,566,861,244,885,288,348,846,782,063,993,195,480,319,713,
435,794,436,793,424,497,406,305,954,676,193,177,656,761,224,641,377,124,916,
745,761,956,247,459,164,189,059,726,336,574,413,632,613,633,123,796,038,429,
180,687,763,328,403,733,630,469,922,565,008,191,728,290,929,871,195,217,759,
635,210,123,137,095,267,763,808,597,539,901,707,539,866,138,214,035,640,679,
226,622,796,951,266,325,463,234,607,330,070,729,118,250,322,099,432,192,184,
192,841,443,773,710,436,562,215,898,679,898,334,289,247,939,153,978,645,283,
714,489,573,935,926,686,513,872,828,979,931,653,861,741,225,583,369,911,966,
127,758,429,139,017,252,934,350,694,288,141,650,045,547,934,724,010,116,278,
470,421,954,409,684,997,587,966,147,590,685,276,131,772,570,144,419,831,596,
791,433,877,472,158,389,231,112,865,544,151,675,703,669,012,241,465,293,054,
297,994,907,821,196,130,366,112,739,493,238,839,958,423,873,134,235,382,963,
700,695,865,433,877,307,845,334,428,452,990,332,453,796,076,498,787,014,652,
423,373,027,117,749,546,911,568,176,139,619,441,394,515,026,062,398,159,247,
613,146,135,165,736,601,889,673,560,603,231,343,209,394,846,179,737,588,778,
191,411,679,087,926,889,937,677,231,840,135,392,602,608,403,133,581,351,018,
497,711,560,652,729,055,387,655,465,364,835,399,359,610,177,791,576,235,489,
069,670,038,336,251,349,427,489,374,404,113,955,021,429,113,712,659,605,200,
164,189,450,180,994,573,160,896,474,878,379,131,188,273,899,212,035,910,052,
080,136,012,795,526,321,838,785,823,963,774,883,376,207,896,175,021,932,192,
729,268,401,272,200,659,903,776,915,006,130,729,447,585,265,831,603,941,934,
419,929,887,662,893,269,629,790,996,532,151,490,805,589,674,153,394,214,918,
328,307,739,437,263,174,692,554,396,912,806,967,846,037,128,170,224,668,910,
403,528,120,166,765,949,699,790,381,911,187,855,359,225,649,046,597,081,420,
417,801,953,569,206,829,810,688,050,683,672,843,174,376,236,017,007,170,730,
573,544,941,964,819,984,187,847,093,730,275,857,082,443,325,528,784,257,981,
595,506,078,412,035,459,764,832,520,867,628,422,103,001,921,657,717,932,939,
054,320,288,184,840,281,803,750,140,191,337,800,982,360,265,805,307,703,686,
004,095,500,943,908,697,994,019,392,316,362,232,123,358,687,772,142,129,969,
711,113,544,930,433,704,144,573,600,236,409,013,297,162,148,311,284,766,064,
063,334,425,134,080,944,315,558,974,063,943,327,179,710,530,474,770,396,248,
598,859,982,586,174,309,885,615,479,519,009,444,119,552,581,706,114,919,653,
823,744,974,673,578,498,879,613,049,469,090,961,392,989,490,363,721,085,539,
667,791,964,914,368,225,727,556,415,166,569,036,589,624,858,491,466,567,025,
709,434,482,617,953,965,697,265,554,689,309,938,360,139,951,636,642,226,164,
945,738,792,852,363,882,518,571,877,535,869,069,541,473,773,482,619,895,429,
350,381,565,837,078,352,247,144,893,507,853,482,342,169,611,626,851,082,899,
855,527,090,427,174,695,715,492,960,939,140,810,197,924,683,341,946,810,541,
704,122,267,677,557,972,000,982,577,945,277,800,360,576,782,708,117,758,266,
642,012,859,809,011,094,758,574,145,793,100,140,868,198,129,978,591,522,164,
708,198,342,444,073,901,417,173,840,537,493,377,682,923,869,330,135,953,735,
862,862,027,690,194,465,843,288,941,976,405,567,284,552,555,494,363,447,841,
405,579,594,546,005,606,174,543,348,601,726,247,056,711,254,068,349,852,063,
089,936,630,268,208,004,821,405,460,999,522,117,115,990,963,286,520,254,368,
056,944,312,018,167,904,511,506,534,691,057,065,461,637,693,333,077,209,596,
309,607,321,024,823,502,062,118,341,541,224,238,850,046,337,624,861,538,131,
571,277,106,509,543,351,125,887,491,270,230,620,487,501,707,446,446,903,737,
388,856,540,863,338,519,337,678,353,772,760,298,784,783,769,773,158,391,201,
613,946,730,798,141,644,371,277,603,440,228,698,965,961,444,127,360,412,739,
321,329,234,940,793,841,157,576,086,445,559,380,560,568,782,334,507,778,588,
993,988,461,194,911,998,922,666,325,934,358,911,388,037,127,512,369,387,657,
868,504,534,146,651,050,025,924,358,457,388,222,374,204,240,393,826,669,348,
661,868,755,929,037,887,348,544,651,303,089,307,844,219,311,960,983,280,789,
361,021,600,047,972,077,668,634,388,707,887,439,623,830,272,751,777,025,284,
702,872,996,003,369,134,091,188,271,229,938,393,274,889,868,693,757,003,276,
182,163,131,055,820,433,827,114,994,033,640,995,300,026,349,645,564,334,770,
006,192,709,049,982,344,193,129,457,791,499,724,233,684,798,604,620,780,837,
753,540,948,146,318,711,999,709,318,004,511,508,305,766,211,645,519,043,596,
679,506,889,840,312,503,652,679,767,364,082,546,263,544,748,677,633,166,450,
644,561,598,320,319,760,447,742,610,845,304,624,355,882,332,925,639,033,521,
986,425,697,553,014,344,374,490,901,703,279,479,281,342,369,740,696,770,374,
463,968,631,768,979,789,290,206,990,974,572,316,232,501,293,019,729,263,662,
237,235,858,948,963,305,739,586,562,887,839,781,642,381,056,404,827,249,539,
424,582,729,013,003,054,448,257,514,094,653,412,869,570,721,997,569,924,931,
648,090,535,910,345,315,618,385,561,639,470,443,803,134,799,324,466,436,591,
301,153,484,455,378,015,543,239,489,491,107,620,042,967,111,902,580,911,303,
385,123,778,012,248,180,610,061,048,812,606,169,734,419,217,084,029,249,830,
385,934,561,404,683,740,828,540,191,183,899,707,952,017,888,692,528,365,993,
266,917,974,730,639,969,084,654,628,671,809,608,462,661,335,928,252,783,680,
912,481,900,914,211,349,340,012,591,331,186,555,082,076,219,522,367,600,133,
879,419,536,343,518,322,854,023,028,323,859,795,067,484,715,549,728,223,860,
011,514,158,680,111,052,298,092,337,352,153,913,211,116,991,516,575,062,425,
353,758,661,738,688,559,278,999,654,812,056,075,255,578,408,696,313,012,063,
794,409,097,414,077,476,484,910,638,800,879,099,310,498,413,716,805,958,091,
948,530,955,246,806,166,593,267,083,217,290,424,106,870,983,955,249,685,809,
715,573,913,945,785,984,527,777,831,717,904,672,786,983,652,669,033,334,517,
913,560,554,164,218,533,763,872,137,603,039,483,697,049,504,867,386,834,219,
267,128,680,923,229,207,675,466,603,651,069,745,705,520,623,837,993,628,755,
643,546,661,990,972,103,163,003,907,006,136,990,830,260,860,504,058,304,084,
053,801,481,622,920,709,333,392,365,413,998,384,533,193,336,357,652,955,064,
216,762,447,637,721,505,881,162,134,116,827,340,752,045,894,533,232,245,303,
890,081,169,386,226,687,447,446,130,141,201,795,390,485,988,841,487,991,053,
021,023,230,233,545,686,998,859,239,057,469,372,459,646,295,622,885,293,550,
149,635,760,083,680,145,552,237,295,795,443,455,607,134,003,653,383,083,612,
602,924,087,255,450,959,270,162,176,210,150,080,194,700,394,861,784,457,694,
016,443,553,023,015,836,285,456,225,914,572,290,874,462,456,871,483,806,141,
147,828,806,115,178,993,209,798,469,860,160,688,632,886,851,157,299,246,378,
812,609,993,057,300,125,977,753,069,009,239,258,092,603,731,980,298,751,408,
960,306,869,210,210,949,944,547,788,999,747,612,308,609,775,684,500,688,983,
470,624,448,899,550,115,467,897,440,305,333,498,767,751,535,783,162,553,575,
255,253,552,254,246,337,222,533,095,414,539,616,539,747,363,219,043,799,446,
615,523,727,460,594,970,150,869,773,511,152,139,790,348,830,147,181,421,944,
088,978,104,250,438,194,968,772,578,270,293,170,713,624,678,961,459,025,478,
945,312,568,589,403,508,961,102,608,961,190,941,489,001,424,589,624,050,401,
657,444,690,746,757,760,325,502,292,583,257,911,398,919,582,209,952,567,685,
100,787,863,269,209,275,583,270,044,498,275,055,845,913,080,645,349,179,029,
191,261,905,472,657,952,963,424,103,504,487,707,847,872,237,506,927,509,116,
161,819,208,580,205,284,636,448,481,193,291,480,017,459,801,459,619,383,164,
346,975,898,490,610,989,583,453,229,325,084,984,647,601,246,334,286,576,144,
014,107,333,871,374,706,321,709,241,218,239,673,958,441,086,914,061,253,205,
007,715,406,031,783,513,864,079,114,684,867,930,763,944,799,027,452,135,224,
267,996,710,119,133,420,326,844,332,727,004,262,172,472,431,852,181,581,151,
574,139,143,533,471,712,368,187,160,988,302,237,045,961,001,631,977,639,833,
398,261,034,043,557,028,070,938,751,854,297,182,859,063,400,294,889,491,092,
319,178,205,324,185,804,831,639,636,852,128,566,771,000,262,483,489,650,778,
821,994,600,828,705,165,247,740,437,808,171,915,162,428,574,887,613,759,226,
516,493,622,477,169,694,873,268,675,974,424,774,691,763,716,666,787,973,375,
931,369,479,816,581,810,567,019,059,925,165,820,078,320,254,845,850,442,152,
753,388,747,157,677,178,936,277,277,572,315,123,912,136,817,090,322,851,768,
159,375,103,452,993,714,868,321,353,395,036,176,525,953,542,114,232,718,886,
724,505,947,147,649,150,974,679,686,168,980,459,461,291,906,370,905,834,696,
118,757,444,656,830,523,430,434,758,015,633,480,679,775,043,365,150,100,935,
915,831,951,976,832,724,410,941,013,468,384,976,990,931,413,234,718,666,576,
586,917,372,337,020,947,324,281,677,783,711,636,289,591,127,306,972,870,787,
983,036,503,374,212,173,344,037,226,456,205,981,658,098,401,558,741,914,261,
952,789,744,366,638,409,672,213,302,745,796,505,318,131,045,076,741,744,107,
653,952,215,423,783,982,454,695,384,678,251,566,158,225,270,033,045,763,878,
608,906,773,481,835,955,839,063,217,369,558,887,019,105,462,896,857,682,770,
276,372,819,083,710,021,795,423,137,799,121,857,272,862,265,792,583,714,478,
939,618,157,415,279,155,635,539,608,438,022,078,272,888,624,648,509,831,165,
816,572,716,923,386,555,863,175,576,268,328,072,703,470,686,896,687,468,728,
338,951,422,054,867,356,808,554,676,418,437,685,301,936,370,126,395,053,912,
065,984,283,168,956,817,692,253,849,396,669,235,908,081,075,460,804,840,011,
604,959,429,598,499,499,031,019,003,794,928,434,288,808,863,762,292,271,236,
722,170,183,039,976,758,802,023,026,001,898,144,923,948,705,366,359,224,566,
897,854,592,410,699,578,853,247,745,357,384,702,854,440,304,271,172,689,909,
232,778,405,304,074,645,404,583,255,208,254,658,922,300,915,380,570,148,797,
793,099,426,595,261,110,400,527,104,277,786,253,386,486,938,508,465,544,879,
425,962,856,381,106,649,606,071,884,620,924,311,305,226,095,280,012,937,425,
243,761,771,004,346,363,811,296,272,571,629,645,748,636,993,739,769,398,275,
354,404,579,766,814,860,655,046,173,024,396,338,453,610,765,325,418,506,853,
884,260,781,278,524,056,337,824,677,671,578,725,423,283,439,796,982,238,340,
953,573,784,189,246,967,332,182,100,080,424,897,501,099,107,398,090,695,805,
602,007,723,912,632,057,899,902,276,167,830,661,899,173,192,262,054,404,210,
552,227,041,417,916,586,970,483,195,048,279,235,177,183,250,214,740,366,166,
764,531,122,251,095,294,380,954,237,043,011,404,195,419,311,484,402,412,370,
716,237,251,511,635,291,000,066,561,604,824,067,021,839,201,049,868,844,178,
891,729,012,227,332,024,190,218,787,388,686,724,352,789,136,750,948,952,060,
126,170,778,527,184,255,331,835,201,090,717,462,188,811,501,709,677,890,303,
795,433,891,022,285,390,709,001,262,393,628,760,656,977,609,766,798,955,526,
691,577,713,021,681,084,807,374,081,248,541,208,076,905,095,142,430,610,141,
358,120,256,005,342,407,075,485,299,346,919,295,341,227,776,267,787,131,039,
470,655,321,465,406,799,247,147,824,075,126,934,012,948,094,989,596,963,133,
288,899,632,501,282,980,042,022,897,080,667,861,913,572,644,516,483,674,655,
157,276,406,508,482,325,286,468,701,679,899,267,210,371,329,616,765,381,420,
453,293,800,412,655,010,600,107,999,136,103,113,300,725,751,397,580,791,351,
199,356,470,158,527,366,062,557,236,185,256,089,599,881,820,235,991,328,849,
726,610,903,253,193,018,559,867,147,523,961,063,914,034,389,089,669,716,923,
466,575,304,891,649,569,411,643,622,377,053,631,325,842,182,215,178,162,771,
779,315,850,506,864,248,400,079,196,820,395,491,415,056,760,362,069,560,313,
404,820,937,561,152,491,722,414,228,971,254,421,552,211,872,598,662,689,720,
548,220,259,868,592,839,396,482,168,238,706,704,912,269,633,026,988,796,881,
537,770,996,455,066,611,836,046,565,956,661,818,358,832,153,928,140,807,332,
129,284,007,620,789,262,072,168,915,428,428,105,521,901,638,180,601,281,053,
535,260,242,052,120,660,784,534,924,734,741,054,117,471,826,531,840,315,489,
219,939,761,490,564,248,203,858,511,254,961,486,870,568,553,797,857,764,029,
143,384,081,502,805,904,845,773,504,343,689,993,167,584,978,417,628,945,160,
862,962,935,993,205,100,311,216,007,651,546,592,837,117,192,355,043,216,161,
486,135,169,694,231,726,623,110,534,228,524,111,324,981,476,470,308,287,872,
123,051,398,046,714,579,584,517,887,133,569,906,109,006,674,887,557,936,635,
852,699,758,358,640,420,292,207,234,708,894,441,902,923,300,940,335,896,102,
553,350,081,911,646,299,748,602,577,615,186,475,158,954,435,155,757,392,867,
676,384,107,400,118,699,657,105,109,491,293,389,436,109,532,493,194,254,964,
539,584,081,859,854,869,717,571,221,789,917,055,026,521,524,505,451,328,946,
362,265,079,205,649,731,093,735,060,330,780,051,345,515,894,104,176,499,933,
396,716,654,767,576,750,428,241,992,158,010,380,616,459,585,876,002,859,697,
650,038,510,140,184,093,549,808,192,089,717,844,660,093,342,802,841,411,615,
363,550,054,426,687,453,258,148,593,659,969,056,634,071,017,569,554,910,203,
378,281,449,034,538,024,884,800,224,749,746,417,262,326,740,292,921,442,423,
324,585,181,353,302,986,315,224,162,554,490,031,402,369,052,705,774,625,353,
750,793,651,368,257,727,816,340,114,133,296,606,901,748,112,614,448,632,050,
386,414,843,296,084,696,079,790,842,918,061,281,167,416,500,707,076,840,895,
866,509,520,935,196,893,907,623,787,211,066,915,633,364,174,039,294,257,848,
333,837,510,891,212,242,505,986,283,217,877,662,777,122,590,945,540,288,993,
243,713,443,211,865,961,946,871,117,646,396,056,933,320,862,894,692,664,983,
307,618,518,871,281,340,273,540,890,177,750,760,571,690,062,298,158,070,357,
938,619,888,042,474,154,263,069,377,194,708,468,131,127,042,022,320,175,193,
720,936,382,939,710,241,001,589,604,588,362,070,696,709,523,751,476,356,271,
490,165,429,026,947,604,599,497,886,577,691,940,492,112,177,407,525,412,630,
916,371,635,761,785,247,078,851,610,462,615,886,045,605,201,290,071,386,853,
465,869,388,654,457,697,861,142,053,431,387,246,696,117,284,675,463,160,345,
266,997,802,419,489,808,724,983,053,761,311,746,505,324,617,917,725,200,025,
452,631,470,912,723,005,381,151,102,838,926,078,484,930,541,540,789,890,300,
935,521,659,059,041,416,489,952,786,328,145,276,958,160,950,418,932,582,405,
011,783,186,791,435,141,524,923,371,621,466,092,188,306,583,486,906,697,303,
516,524,677,799,218,097,939,485,769,086,129,639,494,978,381,554,738,000,907,
742,985,366,196,601,683,013,360,120,123,823,718,354,157,026,796,623,910,793,
880,543,047,916,729,831,297,179,723,917,737,549,725,579,303,664,821,119,867,
693,691,950,616,757,793,561,737,769,894,925,934,169,982,830,556,899,412,183,
795,885,107,878,866,130,576,805,408,151,517,374,400,619,551,166,687,642,201,
458,531,901,585,896,292,444,008,901,388,024,855,219,883,197,562,997,189,973,
724,301,042,922,435,809,642,089,890,990,850,960,329,462,910,098,707,541,485,
464,760,999,421,598,356,879,490,612,392,501,253,424,325,937,454,508,483,694,
529,147,700,175,801,895,954,252,394,893,960,415,886,395,473,060,799,661,407,
022,149,635,522,781,022,030,374,264,333,308,073,093,596,954,806,653,930,702,
668,526,703,682,875,981,959,825,768,294,953,517,561,121,076,840,072,549,407,
921,089,078,949,140,245,114,883,712,527,208,236,074,294,002,791,050,698,808,
472,208,491,528,447,584,902,872,494,048,958,868,127,944,369,991,409,336,219,
147,760,670,158,151,582,590,142,516,748,845,814,984,327,103,896,265,978,280,
675,150,325,037,936,814,244,537,113,508,818,953,555,362,615,395,372,607,746,
085,942,249,317,376,359,346,530,953,447,523,408,292,778,668,948,296,791,417,
493,995,136,229,619,096,554,183,487,818,242,984,117,995,410,810,931,760,009,
664,962,690,389,490,131,083,332,794,648,505,556,679,892,491,899,943,868,389,
383,705,370,533,068,260,030,717,408,007,851,979,321,917,596,731,747,806,030,
115,661,789,306,358,769,246,942,882,243,168,159,010,024,793,692,461,701,324,
129,963,949,860,591,135,122,728,720,620,215,230,509,754,490,760,984,736,188,
193,007,225,016,260,527,287,899,554,234,102,073,557,407,174,275,445,282,597,
068,596,709,838,322,695,327,053,739,783,426,589,702,001,229,850,010,213,184,
474,135,788,960,629,821,315,162,146,827,923,942,602,342,231,879,699,384,881,
455,755,209,604,556,506,458,321,270,325,586,685,832,935,916,304,506,178,023,
855,877,930,102,536,465,448,215,315,117,354,177,503,200,786,052,279,485,896,
316,993,942,266,564,374,949,680,718,959,036,735,174,665,187,363,527,029,132,
274,574,104,336,737,543,202,933,196,226,695,164,427,877,337,230,398,834,029,
433,436,520,986,320,617,973,874,180,734,457,268,087,132,412,610,862,063,309,
419,898,143,429,778,037,218,499,711,454,931,938,456,671,739,212,430,750,667,
537,319,913,903,296,844,416,821,301,547,913,180,632,070,769,386,525,077,394,
223,089,479,708,739,819,539,572,044,579,386,178,120,471,718,734,787,634,296,
535,673,214,654,133,749,562,268,601,854,443,304,138,051,393,632,369,432,577,
776,919,655,222,954,085,279,917,329,245,367,263,583,982,751,879,111,738,696,
107,836,694,247,514,208,604,961,053,351,592,657,427,195,367,295,079,989,279,
668,787,374,080,501,469,540,028,737,767,733,953,891,980,829,523,578,267,685,
389,081,242,007,203,765,121,937,474,921,605,463,500,888,078,644,277,413,128,
213,071,985,152,990,363,246,818,522,046,180,940,399,397,882,332,179,940,918,
905,270,568,393,948,507,876,883,531,875,230,217,744,110,715,407,115,022,582,
358,704,408,864,562,101,188,646,133,102,798,341,106,539,230,184,467,996,325,
765,090,449,932,227,275,057,132,186,354,918,342,894,163,418,697,273,218,359,
067,082,561,112,451,503,176,318,321,324,886,511,936,098,929,735,655,433,723,
653,783,648,413,651,503,689,945,796,130,315,269,342,639,847,419,702,842,468,
163,653,892,695,311,726,525,750,471,628,825,198,239,103,455,997,678,246,891,
570,820,844,693,894,148,585,247,405,671,832,526,720,359,374,728,269,063,882,
043,075,192,797,877,063,512,661,327,287,409,478,894,853,526,246,330,035,864,
789,243,250,454,621,432,569,893,261,094,673,312,179,716,282,789,959,424,964,
314,925,104,478,638,060,726,494,424,894,008,817,014,742,676,987,594,340,889,
957,284,476,148,757,285,362,695,356,385,999,949,335,606,200,390,416,166,160,
847,809,863,159,366,635,052,107,791,037,372,843,545,669,810,433,059,172,935,
645,493,951,406,247,885,958,498,460,738,998,798,968,546,115,535,773,226,399,
421,408,642,572,346,628,391,420,905,236,394,385,037,044,707,444,082,014,459,
509,518,976,693,444,640,826,772,741,278,330,657,027,182,125,808,875,312,850,
471,542,117,421,918,384,149,779,723,054,957,945,020,002,705,032,199,255,690,
525,700,496,878,950,819,362,963,147,744,139,547,406,791,240,505,209,145,736,
725,244,967,803,852,267,022,356,558,135,860,602,616,860,523,498,741,792,916,
935,582,672,501,003,374,179,146,875,314,199,894,692,731,708,315,962,114,342,
752,500,965,528,126,210,126,738,136,027,104,017,402,176,267,521,114,194,546,
918,405,884,540,394,226,574,334,949,219,659,721,733,268,657,100,994,197,492,
348,604,388,904,226,032,130,428,250,615,333,284,713,295,924,255,610,856,540,
550,085,639,443,293,337,765,618,712,070,019,598,082,461,655,525,599,956,157,
566,338,838,404,276,714,619,701,500,309,219,739,469,028,179,317,560,888,234,
173,138,101,291,074,952,653,663,795,917,009,569,918,133,469,680,514,356,209,
468,569,113,420,500,746,312,307,594,822,639,667,764,361,578,989,180,272,750,
119,447,680,499,531,292,948,270,038,540,745,113,386,191,595,883,568,748,059,
355,757,583,583,081,645,242,579,442,349,780,085,596,169,388,468,648,408,867,
206,953,052,892,256,324,712,948,735,086,756,072,904,682,627,691,037,884,978,
965,397,193,014,313,046,032,714,762,475,774,307,369,848,693,266,162,705,035,
254,548,407,717,905,224,443,817,107,925,923,540,418,847,944,629,697,269,717,
579,496,291,616,526,598,910,900,210,952,810,167,255,695,723,522,383,453,189,
006,393,869,479,953,481,055,220,458,996,556,960,513,633,379,935,067,992,810,
575,463,332,150,815,529,967,802,843,021,329,567,178,663,225,771,196,383,298,
150,429,895,782,791,297,383,285,221,357,722,170,811,687,891,096,088,266,502,
245,832,697,497,658,529,300,321,031,348,385,039,327,941,632,030,631,255,147,
119,124,530,003,412,238,834,524,539,240,854,007,542,914,596,205,474,118,699,
673,711,079,484,504,616,897,413,468,164,083,369,464,049,476,927,929,235,566,
829,253,704,978,517,561,679,134,101,781,157,865,399,028,390,600,440,300,340,
880,587,074,124,106,848,106,159,601,887,118,707,137,438,162,226,118,775,386,
359,993,270,741,567,253,926,295,007,484,183,077,227,961,265,414,965,474,015,
191,849,800,987,825,233,887,369,029,104,624,682,753,542,374,710,390,561,245,
102,058,605,632,245,749,868,007,830,028,348,688,863,150,252,598,172,242,891,
756,162,124,365,417,666,322,803,222,397,545,012,740,936,727,915,697,847,819,
784,628,557,325,529,277,306,686,284,236,687,560,752,861,247,388,182,297,861,
908,199,319,837,348,448,198,179,871,903,424,907,574,521,182,676,184,752,290,
208,027,610,752,739,171,918,753,877,443,965,816,286,125,575,001,587,324,904,
915,982,167,319,298,680,624,446,576,852,308,842,224,612,857,237,605,546,459,
790,882,353,222,241,450,851,577,781,384,118,426,327,660,705,308,392,770,394,
561,951,291,083,239,626,531,128,582,870,772,909,997,837,199,235,224,486,053,
205,366,064,708,401,568,774,902,445,561,772,570,979,925,211,659,042,009,588,
495,935,627,215,094,739,540,869,988,893,802,573,484,643,436,501,704,457,406,
319,855,830,349,564,013,778,185,607,121,319,896,151,788,972,774,690,634,036,
572,157,158,112,780,480,641,019,313,284,170,385,286,957,069,718,039,655,695,
105,989,432,009,499,851,877,852,567,239,505,420,059,511,653,838,252,993,326,
700,579,766,062,268,156,403,021,824,984,628,636,074,405,034,951,176,135,973,
852,088,833,600,401,437,338,134,562,306,147,942,499,924,047,360,722,604,489,
559,659,413,087,695,740,632,239,633,835,562,812,293,805,196,080,404,106,084,
501,760,391,411,893,660,336,979,440,738,741,078,762,662,374,217,170,189,872,
552,365,087,573,922,694,022,389,496,971,900,655,692,248,285,902,139,922,547,
250,791,545,708,614,426,517,226,687,300,039,989,544,865,055,076,982,993,479,
718,789,735,022,827,855,820,718,712,928,539,527,121,120,456,452,109,628,430,
160,727,811,814,580,540,836,337,569,891,878,880,348,133,276,224,033,653,303,
913,959,574,198,981,030,735,296,044,428,643,188,022,333,026,490,224,381,162,
586,997,214,795,436,438,689,357,570,918,008,702,313,433,789,730,543,508,020,
031,244,082,206,783,618,727,631,963,975,692,360,597,247,162,988,536,714,669,
572,317,925,107,056,311,943,488,982,087,633,617,997,915,605,210,164,737,667,
209,268,541,776,886,258,627,033,427,553,720,666,078,140,688,348,926,346,149,
270,984,929,023,638,865,617,671,291,826,094,423,087,686,299,943,293,122,271,
474,360,202,995,912,353,980,868,684,988,109,365,076,958,881,689,870,794,633,
256,366,947,844,072,179,828,465,393,943,546,152,723,083,446,317,129,713,387,
018,481,256,361,491,311,846,180,019,738,907,337,364,217,277,872,450,279,082,
161,832,218,351,651,518,517,127,819,813,827,723,632,866,481,208,037,306,528,
174,968,446,681,023,982,808,959,460,439,646,573,645,862,795,563,520,926,046,
735,311,960,118,387,877,745,198,817,498,151,262,014,863,958,358,342,225,507,
561,621,056,510,900,321,308,773,447,208,853,327,385,252,132,195,363,876,048,
945,770,266,109,867,443,859,756,953,666,299,861,271,029,204,174,891,293,108,
723,574,692,639,067,248,995,586,344,040,999,093,416,609,655,235,663,004,668,
060,315,823,998,769,077,195,995,424,387,295,289,050,919,247,929,383,854,442,
822,410,008,215,305,015,857,496,856,996,052,623,733,252,253,423,629,458,193,
556,717,641,126,052,757,014,635,698,906,497,946,625,475,282,092,238,256,747,
247,921,419,546,725,074,678,434,060,554,312,996,792,574,905,022,521,134,234,
657,454,232,795,631,896,423,859,457,736,929,932,159,436,251,817,580,729,998,
597,685,453,567,547,345,717,238,956,225,762,532,083,964,323,809,976,341,395,
042,615,968,549,904,235,687,640,750,711,026,788,226,314,299,397,844,394,671,
885,925,466,340,965,381,454,563,182,140,433,793,152,970,633,869,839,385,902,
714,635,488,519,106,257,846,515,892,993,024,403,036,469,524,080,220,649,930,
955,042,637,936,055,992,302,342,118,213,713,626,152,191,979,235,595,002,015,
690,309,788,506,053,600,096,039,711,301,106,512,198,540,782,582,329,298,538,
845,239,719,541,240,393,314,509,752,390,892,637,288,471,046,585,710,832,467,
903,744,738,762,413,290,648,917,739,319,695,413,991,188,789,556,077,373,503,
952,370,976,866,232,793,313,155,733,540,683,266,505,502,633,248,675,043,006,
595,313,591,659,620,082,663,121,624,668,636,095,878,215,698,827,534,270,354,
289,971,709,062,068,015,337,959,979,312,530,631,295,746,166,836,516,870,506,
822,396,067,333,169,570,888,268,987,164,731,101,217,758,047,629,841,344,732,
660,048,162,510,135,821,524,825,857,125,429,776,460,855,545,509,367,087,267,
210,053,711,002,148,919,995,012,967,425,678,831,391,987,343,696,656,041,973,
686,871,014,467,033,407,535,652,191,075,066,207,149,401,565,830,611,465,925,
711,127,176,049,315,551,781,812,034,297,421,889,767,632,797,090,623,690,612,
238,234,342,891,438,100,552,160,250,689,439,613,713,361,666,249,522,147,120,
260,566,589,132,027,990,966,545,883,880,250,896,447,445,045,375,261,915,592,
166,742,238,249,122,223,465,743,104,590,826,943,443,050,342,373,682,881,387,
467,670,436,731,976,209,311,798,791,274,792,632,153,302,973,076,914,589,476,
341,603,155,415,571,250,756,025,271,894,345,280,937,268,349,035,283,352,082,
901,468,709,139,444,442,856,982,541,636,140,446,961,253,235,926,142,907,969,
789,694,610,520,677,791,913,043,003,729,592,831,253,105,355,029,886,110,383,
588,375,578,243,001,053,902,115,469,387,687,008,658,600,520,791,632,053,975,
279,309,469,735,481,020,771,191,341,857,344,266,443,241,247,676,390,127,219,
924,552,165,560,900,914,261,303,886,502,491,980,861,644,427,136,059,846,762,
009,404,312,367,180,624,973,737,815,639,692,317,423,034,740,840,526,756,909,
312,304,026,468,939,538,513,903,575,211,954,324,493,216,274,066,025,430,536,
016,257,172,396,389,746,906,988,222,446,745,949,275,445,267,929,385,765,963,
911,524,871,707,286,740,969,905,002,325,056,029,543,300,728,694,462,792,952,
149,044,968,870,672,996,358,089,354,958,363,132,151,798,725,142,499,274,917,
042,897,644,262,728,123,393,307,427,569,994,779,357,782,144,783,103,567,213,
486,533,715,845,110,043,979,301,416,285,024,549,811,749,475,663,905,184,973,
442,536,555,339,197,044,297,416,330,993,279,466,171,186,243,796,406,747,899,
179,201,683,113,060,749,302,564,634,154,607,534,330,026,410,510,480,150,012,
023,647,735,655,929,409,638,217,807,009,914,620,493,465,342,948,035,509,428,
572,286,055,266,335,310,307,854,672,184,895,174,304,629,436,753,083,793,039,
390,967,523,447,955,817,913,122,747,841,698,659,787,951,342,791,690,420,532,
691,433,833,087,776,012,465,343,582,982,132,028,606,938,641,106,683,697,764,
541,397,719,333,040,644,381,642,156,838,733,437,214,870,476,313,726,856,157,
434,240,343,324,543,711,051,777,556,244,839,074,482,310,680,247,446,039,713,
728,297,215,620,416,032,042,808,493,232,544,459,827,602,219,936,707,305,355,
007,327,991,641,929,674,033,213,442,269,795,671,258,336,318,174,197,906,574,
250,937,176,604,875,184,557,364,616,875,669,239,109,948,054,440,176,719,359,
554,613,558,555,237,818,131,864,682,932,063,536,500,356,526,353,335,827,371,
450,745,331,603,692,500,910,297,513,491,025,595,014,483,993,390,210,247,225,
178,527,553,469,371,926,435,933,143,618,692,715,490,543,227,195,596,730,128,
460,154,011,887,585,237,314,872,438,469,952,729,920,317,501,892,725,196,238,
598,367,403,594,721,325,778,243,147,852,595,980,272,008,365,569,815,960,161,
984,076,636,766,347,877,033,524,630,471,016,867,783,827,332,540,203,698,264,
926,726,156,971,875,667,954,403,362,928,277,854,103,067,575,328,365,881,434,
282,853,422,627,805,545,439,815,642,969,998,437,964,319,547,208,694,686,217,
807,565,516,257,497,571,883,565,160,013,864,930,428,982,401,414,263,142,007,
183,922,250,498,809,576,006,804,625,418,345,800,125,939,513,199,052,780,473,
937,554,611,533,631,548,641,506,481,066,538,259,573,472,905,990,016,861,509,
687,561,878,670,662,823,004,826,216,867,429,662,401,351,901,618,423,378,062,
556,415,307,168,615,906,305,801,739,062,117,341,393,260,717,167,725,863,714,
359,295,292,045,082,968,242,725,628,339,926,031,571,969,660,278,663,234,761,
575,638,711,694,978,774,822,144,227,724,495,061,257,698,111,063,649,746,434,
638,715,493,858,725,091,115,213,512,629,418,017,766,110,492,321,582,299,783,
161,533,858,728,990,861,357,290,260,153,490,634,405,550,931,100,165,390,981,
796,042,109,669,635,189,769,860,242,297,869,624,703,665,690,853,604,523,809,
137,981,769,920,875,242,817,387,099,594,665,177,312,535,519,712,073,627,211,
717,472,403,970,194,541,646,712,173,171,595,565,052,964,679,214,868,827,730,
586,485,334,756,828,694,322,038,314,850,261,597,652,351,740,090,061,975,386,
133,534,420,220,193,999,361,584,343,886,363,516,734,462,316,559,206,321,247,
510,911,664,030,680,089,904,626,651,874,651,029,775,556,664,963,342,089,350,
700,590,578,371,962,349,875,419,955,493,125,364,767,794,513,549,032,233,209,
870,625,483,878,522,824,486,016,799,137,967,239,442,285,973,742,869,597,427,
588,058,044,761,467,727,218,994,669,805,838,917,473,091,989,544,978,422,807,
946,550,995,863,783,959,530,355,746,787,256,126,958,994,130,761,469,627,463,
922,263,198,689,322,229,193,111,696,995,455,400,485,021,354,838,590,403,296,
410,563,848,095,443,019,628,958,349,302,147,194,753,201,497,690,805,783,934,
314,579,450,755,620,933,296,855,222,564,746,752,693,567,220,131,471,225,001,
437,214,705,029,232,391,227,189,975,607,013,880,311,047,427,091,911,538,914,
588,411,069,172,776,557,753,000,361,964,814,600,561,000,092,487,204,431,134,
074,889,104,218,063,239,011,137,447,459,559,812,860,702,697,086,070,175,277,
885,407,378,593,604,365,503,418,446,905,379,069,243,415,598,552,175,075,441,
327,131,736,660,104,606,009,069,800,002,293,709,943,834,093,049,026,630,918,
902,665,386,602,620,797,706,045,243,045,781,874,190,433,022,342,192,527,692,
119,878,684,995,071,173,754,192,604,465,589,272,619,330,772,934,793,991,783,
972,701,110,611,817,183,121,081,204,621,176,133,235,763,927,189,412,620,046,
817,884,764,554,742,388,383,987,955,685,079,703,631,213,524,670,702,201,102,
356,059,708,473,634,803,921,071,861,163,698,319,086,186,586,730,264,099,060,
778,064,718,989,760,535,411,195,965,666,733,637,547,806,415,138,555,060,345,
356,018,734,883,484,070,651,737,242,589,851,598,188,532,576,512,122,097,745,
653,131,725,627,820,544,323,217,862,339,749,800,184,429,694,220,308,619,731,
935,651,291,041,627,640,617,893,431,536,621,030,884,979,647,136,690,260,730,
238,367,485,678,660,328,249,400,014,807,092,274,910,670,926,163,283,009,671,
941,427,387,105,584,499,721,443,440,584,761,847,506,735,803,962,779,728,694,
634,703,298,288,093,220,852,672,059,170,435,946,040,153,457,161,667,684,023,
119,158,382,094,436,015,392,230,699,399,884,674,649,687,021,277,768,908,030,
806,837,894,787,066,025,573,121,244,573,673,617,602,428,301,331,799,064,711,
958,215,637,557,107,966,878,511,958,148,380,127,985,887,688,467,304,586,549,
887,853,527,428,741,613,548,242,280,095,095,606,423,419,713,161,643,659,804,
629,039,561,561,324,468,069,424,146,557,539,238,753,517,534,172,921,372,614,
771,349,475,287,200,137,203,460,822,292,589,571,156,147,415,386,274,072,741,
579,563,568,804,350,015,808,585,438,803,399,001,443,522,924,633,715,299,947,
276,568,751,021,745,246,201,778,039,327,077,241,756,955,112,287,098,566,716,
088,416,203,562,399,447,980,076,681,026,783,952,574,318,060,517,184,515,323,
930,545,685,291,369,246,100,574,802,021,601,852,411,655,715,533,624,459,444,
039,201,871,893,841,957,105,607,163,387,434,244,249,526,343,765,925,785,380,
394,632,442,695,997,949,442,181,654,940,962,396,222,412,508,652,947,609,560,
014,370,038,832,616,661,422,285,188,203,784,183,837,099,957,575,852,550,915,
339,937,708,603,536,301,447,889,935,044,750,104,088,716,230,505,828,047,186,
382,847,049,824,925,255,530,774,161,182,982,488,542,960,786,409,254,722,207,
827,200,749,259,638,798,160,345,272,666,945,871,824,586,858,306,583,220,232,
040,347,881,230,564,485,437,064,030,822,344,384,748,979,711,983,753,499,940,
050,913,536,983,769,550,070,519,723,710,087,838,879,042,165,355,147,729,609,
409,173,925,819,579,779,581,138,976,775,740,238,511,870,408,202,521,031,648,
259,139,838,762,703,492,676,516,670,888,185,372,072,073,031,707,987,437,730,
958,703,546,621,671,236,115,267,264,422,707,074,955,106,164,102,015,205,136,
957,986,728,991,794,647,542,758,611,474,728,058,419,237,928,215,132,959,365,
868,905,156,841,885,207,038,632,726,434,082,690,520,733,797,358,218,415,005,
531,955,980,692,851,678,264,245,808,290,282,104,485,124,344,136,582,407,643,
593,320,301,804,702,573,885,279,762,980,218,586,805,795,599,619,191,494,784,
831,499,276,838,615,033,909,573,590,753,495,906,249,032,206,757,213,340,146,
116,470,813,726,818,256,901,445,047,236,601,886,595,223,360,415,900,807,116,
794,600,996,343,811,475,863,261,523,926,089,313,814,682,439,290,849,180,212,
157,098,711,182,322,138,699,780,625,982,592,522,337,590,212,721,375,567,905,
155,115,406,715,612,723,897,483,320,879,991,117,861,953,875,808,049,823,645,
206,178,755,556,621,037,372,643,799,982,943,587,722,367,780,888,063,598,233,
920,151,602,946,181,088,489,732,127,584,654,423,869,876,038,033,521,106,459,
993,730,903,987,013,432,812,307,773,065,390,627,987,881,833,242,455,591,970,
606,737,385,931,951,550,497,928,342,444,037,954,737,255,804,874,282,574,396,
730,568,934,191,922,148,523,034,006,175,923,483,628,157,292,131,643,557,655,
433,890,235,902,207,091,428,915,943,480,125,905,317,893,963,335,296,200,877,
951,951,344,693,804,043,675,710,157,229,897,856,506,081,616,914,208,749,953,
856,048,407,719,354,279,173,624,680,733,173,708,170,045,364,300,192,235,738,
183,882,316,608,243,374,756,498,070,204,740,295,858,421,348,738,943,340,491,
862,037,463,009,720,783,844,945,890,471,725,634,524,316,202,979,608,033,106,
494,706,065,779,702,323,638,857,843,648,271,377,587,557,610,575,549,571,778,
241,337,465,621,726,311,070,193,629,926,878,008,691,341,139,925,871,416,046,
056,571,496,622,861,128,138,106,557,044,367,379,633,770,616,943,564,501,749,
280,031,749,674,467,027,070,921,838,675,866,623,677,212,138,324,898,309,941,
218,286,553,635,183,454,039,945,518,823,329,066,722,350,955,164,409,188,909,
240,120,413,612,732,673,536,304,100,526,251,966,995,606,945,229,481,387,151,
997,683,180,431,161,009,825,537,633,778,292,164,984,040,412,882,659,613,319,
538,225,314,524,649,436,557,513,383,814,403,293,938,609,615,937,367,045,288,
406,141,978,378,426,161,037,424,006,958,034,486,267,227,234,379,985,539,192,
111,002,602,791,578,523,154,510,500,966,148,761,303,004,811,780,475,766,084,
832,705,101,727,393,095,821,969,404,427,435,197,642,548,416,541,036,507,737,
160,970,844,219,466,200,968,662,662,796,729,034,832,427,961,978,011,457,215,
288,583,871,706,147,654,687,767,910,231,545,659,288,269,657,141,913,665,050,
368,311,000,145,106,189,363,306,599,318,009,252,208,705,696,603,458,541,355,
763,078,825,621,800,659,595,278,570,184,268,469,867,716,747,802,337,549,965,
962,603,933,996,265,169,206,332,168,025,181,038,946,139,694,842,166,236,672,
032,109,269,750,927,843,349,124,056,679,989,157,218,621,050,773,570,187,962,
587,021,740,517,457,075,203,296,254,262,052,319,641,709,987,294,592,199,700,
429,656,243,294,032,922,233,323,757,420,369,449,476,298,801,984,519,308,019,
928,990,935,787,999,839,812,887,579,426,601,561,610,936,993,413,567,102,321,
288,868,518,771,004,912,610,250,764,744,961,231,625,240,006,853,418,153,647,
154,055,688,331,863,414,528,722,738,606,697,095,405,063,751,352,972,238,925,
213,910,499,301,229,194,714,909,330,358,281,401,155,820,628,827,565,584,786,
356,127,749,241,678,353,473,291,601,845,171,199,689,273,010,464,312,107,005,
139,354,486,953,824,501,372,603,673,237,385,402,952,938,616,964,840,762,539,
975,657,066,232,161,832,930,709,373,687,757,071,721,979,149,307,156,736,047,
285,692,493,042,579,330,250,530,727,960,749,439,656,438,223,365,699,236,513,
407,780,324,773,019,236,630,786,006,756,235,438,997,783,259,918,445,343,343,
084,572,154,386,393,316,973,317,503,450,967,574,534,488,365,267,591,785,583,
179,226,849,040,291,196,227,017,329,030,833,877,745,628,619,459,496,592,990,
659,766,392,513,292,791,490,081,322,231,204,466,894,012,436,924,138,715,851,
033,920,336,751,094,190,084,585,771,671,187,991,250,238,814,312,117,741,816,
549,945,524,364,165,616,007,090,459,824,931,448,305,674,988,093,980,085,252,
201,868,116,841,939,034,423,237,071,730,340,848,307,764,487,337,106,240,199,
310,799,716,750,720,809,443,393,378,049,150,598,316,734,648,085,098,330,565,
776,831,435,132,887,314,233,486,135,928,216,514,493,815,750,642,635,462,529,
219,075,451,590,972,559,033,379,715,090,840,160,988,235,500,091,387,616,181,
039,593,681,612,658,739,263,132,395,890,778,677,491,208,402,842,224,088,986,
151,146,773,519,224,981,159,894,968,343,339,825,016,662,570,638,219,268,250,
731,477,453,893,093,753,776,669,714,302,949,819,558,092,856,103,949,695,959,
725,058,564,969,705,339,479,560,625,882,549,914,507,377,240,109,002,686,707,
174,934,780,214,120,479,371,426,954,738,685,219,132,595,368,369,360,367,543,
391,037,869,310,937,250,967,068,386,699,414,723,405,959,962,317,849,726,143,
786,421,712,248,680,324,601,879,147,858,135,368,522,558,356,155,960,034,490,
104,000,849,858,553,231,942,628,547,804,830,572,361,868,461,112,650,674,986,
154,339,717,087,959,206,221,518,489,213,560,156,833,780,399,128,199,816,365,
453,690,213,815,799,804,826,472,375,268,187,687,884,419,507,949,605,954,742,
911,691,281,817,471,364,320,195,239,549,599,875,095,941,896,385,923,673,087,
527,902,323,201,591,418,099,409,973,651,359,383,466,375,576,434,462,329,475,
047,907,962,488,565,207,033,814,267,933,927,029,076,850,465,783,096,402,715,
554,225,241,075,128,849,538,654,113,896,276,641,261,167,870,831,850,023,572,
439,856,998,174,692,964,915,663,552,074,903,618,740,584,659,008,226,654,371,
032,746,729,184,137,320,489,580,511,708,891,197,272,264,340,959,501,515,151,
528,125,257,683,559,893,099,485,484,367,337,301,696,391,709,077,941,848,793,
547,788,878,137,474,111,956,106,194,657,553,798,025,248,620,079,998,441,554,
757,122,688,171,339,749,794,439,797,437,819,982,875,730,718,335,112,219,711,
741,027,918,275,036,265,071,159,793,829,477,170,284,666,183,432,204,784,976,
854,162,571,941,882,051,686,485,124,923,398,365,141,743,024,256,512,451,546,
333,607,819,865,640,612,430,840,876,388,417,483,088,566,637,343,650,709,236,
825,524,210,988,161,014,213,376,449,446,789,434,138,151,354,498,064,314,266,
230,063,029,762,533,694,967,018,441,096,095,759,675,268,556,765,619,797,211,
531,449,215,647,186,298,124,490,713,843,186,967,723,826,763,755,963,484,739,
546,428,770,801,150,430,120,957,346,949,520,647,336,133,438,830,094,269,204,
734,716,329,475,332,560,126,002,428,550,421,604,390,423,124,129,359,348,690,
166,387,541,356,472,013,413,576,258,680,455,554,412,923,275,574,835,863,058,
807,979,553,905,410,808,480,863,248,626,411,447,782,330,110,455,886,801,387,
681,617,804,740,755,879,023,906,104,542,353,597,630,869,915,095,679,538,139,
703,211,287,080,191,336,439,907,129,537,433,723,033,850,005,736,064,276,933,
450,667,899,986,692,550,625,982,148,843,459,338,023,732,121,122,510,961,704,
904,823,606,583,683,092,597,987,437,245,010,875,942,418,283,564,933,540,709,
111,693,248,588,448,547,750,180,084,243,785,661,550,780,558,975,425,456,907,
752,941,908,101,675,197,464,951,625,234,522,888,161,828,905,162,171,133,502,
237,637,892,505,906,564,507,001,489,582,465,327,901,215,643,689,279,612,055,
099,122,957,548,352,745,079,078,237,476,821,246,176,887,219,754,789,308,307,
490,978,422,034,578,225,035,186,437,886,803,594,690,849,082,478,115,197,322,
035,445,142,079,586,967,523,284,452,620,901,130,325,754,856,855,487,356,632,
292,055,401,978,188,217,080,223,086,695,646,896,586,097,769,337,428,561,793,
259,898,811,259,090,352,250,563,045,113,895,657,640,386,105,466,583,907,061,
486,828,800,630,265,326,147,623,563,448,636,861,956,188,934,876,446,046,222,
978,424,272,111,999,142,627,284,113,970,809,338,897,128,252,387,757,201,231,
194,546,382,433,167,073,429,027,972,510,785,067,969,560,687,588,690,828,712,
569,924,885,682,981,071,360,241,871,085,157,032,290,699,088,419,292,311,146,
491,576,622,824,641,298,663,641,396,935,017,775,639,581,584,850,570,692,530,
209,861,772,559,717,893,664,278,539,300,736,517,028,878,207,783,172,700,272,
066,618,834,294,398,691,824,018,094,947,265,081,155,432,560,927,492,886,987,
106,760,555,979,405,539,621,408,308,467,417,822,610,929,420,235,193,032,528,
573,807,081,220,680,769,369,815,698,666,372,138,629,641,308,780,448,176,136,
662,832,935,358,473,642,844,484,525,555,977,166,329,763,515,308,294,555,516,
343,114,943,147,583,134,317,742,356,949,177,655,410,960,595,111,724,549,580,
328,847,900,194,929,234,897,978,186,103,935,941,612,630,903,168,386,524,327,
896,424,109,538,788,514,999,860,481,951,613,516,229,070,451,800,437,954,146,
326,868,687,188,417,394,379,241,477,586,306,945,046,425,434,111,350,631,404,
907,788,902,832,303,020,741,350,613,237,037,764,846,688,753,376,785,094,408,
590,660,199,421,705,538,960,221,888,903,224,660,840,496,916,680,973,194,017,
729,781,309,841,176,618,665,391,569,871,232,390,208,352,152,744,969,429,287,
333,218,370,390,883,522,255,404,350,093,815,263,239,521,438,626,255,807,818,
720,786,927,784,765,304,001,420,793,968,926,707,137,823,753,089,603,009,109,
214,956,977,732,794,076,656,463,275,367,428,468,470,389,757,980,258,585,230,
467,247,896,169,560,477,849,538,890,491,008,340,630,278,976,024,600,810,379,
248,179,637,210,840,812,711,305,568,795,734,064,565,665,101,721,595,582,504,
388,728,578,769,756,776,346,481,535,596,040,150,771,708,347,273,975,063,949,
743,123,395,868,098,698,972,541,511,147,587,825,292,650,982,854,467,850,339,
978,040,673,243,063,884,888,309,803,291,641,015,505,039,727,057,460,275,241,
324,694,854,702,118,500,526,383,107,138,225,069,433,622,108,180,602,919,952,
855,558,539,425,137,173,091,958,421,927,949,667,406,784,871,557,203,933,259,
772,383,019,919,669,648,372,872,195,290,257,526,522,405,086,768,584,292,075,
999,786,105,645,458,299,594,242,386,457,692,274,154,255,359,331,046,834,505,
357,526,123,705,486,393,837,627,644,377,003,832,812,384,077,147,599,165,396,
811,388,257,133,084,373,741,835,538,163,124,700,994,679,259,276,312,060,940,
065,595,787,581,419,222,265,521,406,856,949,471,311,702,208,741,308,185,139,
073,126,387,479,642,548,083,468,120,721,666,534,375,686,400,898,652,577,719,
273,028,049,422,126,842,061,157,012,553,007,356,076,182,259,219,547,239,527,
032,876,937,266,393,486,327,339,121,910,280,114,139,991,308,809,510,074,328,
053,688,694,868,850,419,845,487,657,307,267,257,404,790,217,202,178,518,742,
664,197,772,186,890,548,763,758,882,342,257,689,906,586,400,371,608,326,772,
902,926,283,760,013,474,348,405,630,505,057,209,426,898,205,493,065,582,869,
657,589,683,069,943,230,446,827,781,345,369,246,918,174,131,868,870,540,232,
242,955,880,240,657,081,014,701,190,133,020,869,517,654,613,856,369,102,496,
026,353,349,797,745,866,896,126,574,293,579,358,776,087,548,032,707,963,559,
298,617,057,148,990,031,251,819,072,052,898,938,050,505,790,511,881,767,809,
732,463,340,824,124,683,088,634,180,327,958,910,208,111,290,642,369,436,374,
408,505,472,872,019,136,553,688,891,646,996,589,983,110,488,228,607,444,726,
255,582,650,339,766,348,133,923,927,946,076,107,175,873,761,845,687,001,674,
083,494,764,615,183,937,273,600,565,336,487,447,873,762,885,532,895,099,536,
028,404,739,893,607,801,317,451,762,955,252,363,028,430,943,954,601,786,504,
817,800,187,289,118,701,433,819,835,705,808,768,615,425,337,238,285,176,067,
261,240,293,600,098,824,326,994,373,128,226,374,484,155,316,925,387,253,768,
559,011,533,578,760,884,053,756,302,237,191,381,920,759,828,151,414,763,967,
549,580,385,155,404,811,376,580,438,933,180,911,760,570,490,296,845,739,536,
455,942,663,779,751,983,161,516,935,196,684,222,374,756,332,816,695,218,223,
057,138,722,437,291,567,313,422,303,869,078,792,497,208,710,396,871,410,765,
388,307,075,081,901,022,024,760,669,537,967,747,121,875,237,153,193,669,120,
811,772,062,796,242,518,190,926,693,647,722,594,545,328,198,455,814,477,090,
421,670,152,509,123,335,611,538,947,820,675,066,817,863,648,147,622,106,089,
015,030,279,142,896,674,031,256,779,751,590,247,998,744,353,342,616,739,860,
007,027,138,875,152,573,065,305,871,406,547,988,649,011,794,282,811,666,984,
892,984,143,739,222,853,713,827,581,804,920,605,213,234,065,263,374,926,695,
983,002,169,258,562,766,362,808,938,580,526,144,658,783,442,047,249,449,304,
786,106,977,623,004,994,939,485,092,336,185,882,206,768,256,294,232,506,020,
696,071,109,554,484,923,172,344,315,886,221,888,967,293,884,865,596,526,149,
544,374,376,001,999,940,056,502,162,513,361,017,286,221,216,653,460,793,678,
756,432,282,450,997,033,341,803,499,993,079,251,225,938,672,563,587,801,956,
229,591,475,470,202,493,025,313,791,656,128,222,885,360,891,060,453,746,864,
486,750,170,655,230,740,644,986,549,869,418,568,497,743,398,997,468,554,046,
142,672,172,606,227,569,353,901,771,474,997,357,423,219,439,652,543,772,108,
602,220,303,276,182,209,209,614,046,498,461,660,286,150,179,902,232,459,665,
775,060,318,072,934,248,031,189,981,108,942,371,046,458,611,538,754,332,569,
942,670,459,199,145,393,099,034,992,828,371,045,947,006,810,277,655,105,742,
181,073,979,762,997,436,978,336,344,152,776,226,505,866,891,153,475,022,444,
352,336,774,955,484,278,350,362,772,253,641,235,265,423,711,950,176,093,363,
148,666,692,761,055,966,043,142,425,476,008,967,810,504,675,758,670,531,551,
998,099,384,722,327,025,381,677,358,513,024,538,856,441,858,542,150,508,712,
868,336,997,500,729,471,642,636,774,201,048,800,285,676,631,352,909,714,477,
788,919,860,771,822,246,922,977,385,801,535,793,715,805,529,025,504,342,218,
129,762,366,410,273,570,796,856,395,265,716,876,436,901,118,953,640,021,337,
672,794,520,209,377,393,389,672,961,416,729,724,472,315,445,159,560,429,239,
388,378,214,931,789,391,925,802,066,633,824,662,188,446,991,398,859,782,386,
658,259,842,826,388,754,384,044,821,326,650,797,703,847,910,955,999,154,204,
460,616,204,411,542,973,994,374,917,336,855,445,862,262,538,294,779,967,213,
083,170,176,925,437,941,345,107,421,028,246,275,659,764,840,942,276,658,094,
518,173,041,304,735,133,885,733,871,530,929,527,037,425,765,484,999,498,907,
705,733,334,893,537,669,228,755,387,353,651,627,263,938,332,469,050,251,541,
987,358,394,223,335,598,872,857,466,415,016,856,168,734,999,897,252,112,372,
822,062,639,647,617,431,882,257,503,125,746,700,526,750,695,948,773,574,579,
555,354,447,476,308,223,659,905,907,082,850,899,462,233,092,844,110,173,835,
049,150,050,114,848,982,313,247,276,090,797,399,900,905,230,672,058,410,225,
529,887,501,938,772,814,268,426,956,644,159,534,711,802,134,223,294,544,718,
141,727,187,255,239,749,654,224,873,549,154,816,504,856,330,416,553,159,527,
021,011,606,291,935,116,814,699,469,207,612,269,593,077,204,453,605,811,780,
201,506,936,503,570,754,690,762,371,470,560,152,992,959,168,944,515,394,368,
766,239,135,615,361,673,640,394,794,346,526,445,060,078,422,452,022,695,663,
785,734,788,844,259,959,144,321,857,701,736,157,061,461,387,101,115,631,368,
250,959,839,132,496,604,636,765,536,744,815,929,533,538,573,069,667,407,590,
431,377,662,105,292,159,390,007,286,000,393,635,009,334,297,930,393,934,778,
875,938,401,079,484,224,593,957,006,930,711,705,678,627,133,017,294,923,666,
449,511,482,825,414,793,521,285,081,676,879,051,564,176,135,235,798,477,579,
755,976,716,653,967,906,479,795,590,343,853,616,422,597,623,784,994,448,735,
593,108,324,707,034,712,752,941,539,221,892,727,932,621,735,239,670,758,112,
786,887,672,081,242,154,032,055,101,728,042,379,289,447,803,455,520,337,327,
862,472,864,930,575,961,000,769,353,066,810,371,748,010,866,223,300,242,193,
173,151,214,433,052,670,906,311,515,723,284,157,764,719,486,721,939,172,512,
259,988,949,052,516,608,458,520,936,545,680,981,061,092,294,622,711,204,954,
399,222,395,123,465,803,392,205,850,389,125,788,125,938,524,169,061,521,616,
530,992,548,566,107,582,882,882,647,478,897,138,396,481,074,432,932,775,640,
554,962,534,881,343,315,859,400,678,050,868,478,681,414,401,904,794,965,954,
465,776,896,397,770,477,278,621,163,117,678,058,752,311,456,418,956,125,551,
902,003,503,804,884,405,828,743,071,231,231,012,080,458,461,031,856,790,602,
761,147,454,379,896,514,288,438,947,110,429,804,278,889,245,490,617,968,362,
021,568,976,434,955,101,882,857,416,894,369,047,547,801,533,780,656,656,933,
676,152,613,184,441,279,412,117,893,315,418,880,288,669,164,233,068,863,346,
433,912,363,722,886,895,029,583,456,707,528,634,757,241,879,217,969,675,241,
732,134,626,457,237,425,889,441,851,078,993,496,429,024,396,357,091,197,745,
647,748,565,706,778,844,786,636,735,374,771,000,748,976,955,852,747,007,338,
779,235,751,420,715,643,077,386,539,018,994,672,453,989,835,051,491,055,689,
224,581,085,530,149,749,933,455,656,837,827,569,450,443,908,392,659,079,251,
200,651,701,516,073,040,485,370,963,351,759,189,202,491,785,771,194,995,463,
433,506,179,889,956,314,419,467,255,955,478,278,781,482,636,148,772,812,777,
522,577,466,771,301,983,939,548,435,119,552,389,646,200,504,040,978,719,140,
665,457,480,771,872,684,774,146,912,890,221,951,944,768,418,664,694,246,870,
424,215,277,967,207,375,165,358,505,656,190,180,387,210,341,521,945,243,454,
948,903,075,633,673,581,307,411,721,027,605,761,367,958,253,354,177,158,397,
209,339,474,166,579,692,832,859,275,208,210,930,967,190,227,169,962,820,311,
593,168,206,890,985,717,329,965,710,083,935,645,967,814,869,624,472,205,398,
750,715,095,234,084,130,086,915,739,546,878,829,127,597,028,963,002,450,583,
034,816,685,200,417,709,484,593,401,479,351,194,237,358,493,868,223,782,878,
423,001,772,360,882,716,320,370,675,772,531,325,730,382,913,012,306,950,244,
801,505,166,076,151,262,283,664,103,327,627,029,002,250,646,437,235,683,576,
366,588,871,077,345,000,330,904,804,947,171,212,190,506,549,384,533,292,744,
154,291,286,493,792,887,437,335,082,879,401,551,366,892,344,736,163,722,288,
752,813,974,033,905,339,193,451,686,193,101,900,382,646,597,701,881,838,294,
424,101,278,257,900,641,878,875,088,491,700,177,735,514,592,074,621,474,042,
108,286,663,284,898,265,326,855,622,696,289,841,671,929,173,829,919,935,982,
161,302,083,520,822,500,105,076,849,895,984,398,568,673,409,551,542,213,279,
133,532,506,220,558,153,761,630,500,978,357,094,071,996,200,208,793,313,312,
024,314,387,320,851,924,744,774,349,669,077,361,859,105,755,570,938,167,672,
153,457,584,203,107,043,736,768,164,996,868,809,349,941,777,140,301,524,696,
412,868,190,027,272,689,956,108,873,106,352,192,072,870,486,792,855,530,489,
505,603,812,816,666,374,415,803,821,398,635,703,948,041,601,520,489,012,351,
351,287,292,432,872,915,535,509,598,312,141,762,690,945,217,766,613,078,441,
311,248,624,939,450,031,068,069,318,392,129,879,759,938,270,566,730,217,212,
359,336,165,923,992,420,736,058,084,509,304,305,109,957,096,409,991,829,536,
852,183,815,428,860,135,803,428,456,640,161,289,723,672,511,737,867,669,659,
191,387,510,700,794,317,105,131,277,650,250,007,389,605,553,466,142,172,123,
497,413,066,938,130,205,510,510,843,398,208,689,285,876,181,275,264,918,805,
362,508,376,150,771,266,604,903,784,380,123,637,309,349,096,832,069,501,034,
666,783,519,356,106,270,282,464,729,622,597,861,802,880,764,694,913,117,196,
144,597,216,893,628,201,009,599,509,315,008,690,928,508,113,028,223,003,827,
015,484,554,822,913,862,271,760,342,827,124,937,305,899,986,505,894,703,760,
295,466,544,973,524,544,161,658,685,024,491,163,968,403,956,531,911,584,710,
117,913,570,877,350,785,688,571,722,980,479,777,985,250,247,314,612,855,529,
182,999,179,894,362,655,035,031,302,886,699,250,353,805,774,781,834,379,251,
885,576,536,834,867,545,007,517,648,775,549,431,999,013,730,819,180,031,871,
419,933,443,799,075,563,054,972,903,251,094,379,301,743,222,887,717,574,074,
809,714,607,783,062,594,640,846,237,003,797,546,961,389,199,183,092,674,971,
387,471,975,715,219,621,982,543,612,973,186,471,167,237,438,445,185,702,065,
102,533,639,982,470,796,407,742,224,306,829,086,424,666,847,165,843,819,280,
736,452,575,184,092,085,079,899,844,551,628,366,440,788,709,399,500,720,941,
487,792,348,040,798,846,243,360,348,534,985,566,614,252,861,037,041,085,521,
052,397,434,334,889,343,761,239,935,343,769,975,942,603,912,835,568,787,013,
428,999,040,136,233,630,795,569,470,875,903,060,981,864,486,021,407,699,587,
619,597,633,672,147,334,514,577,672,638,867,056,190,391,808,400,961,195,231,
911,265,791,834,757,487,255,505,237,346,537,882,415,647,987,652,472,510,428,
578,689,079,014,154,171,785,772,361,065,634,505,838,593,367,468,049,332,727,
947,641,459,595,725,431,713,585,223,410,951,755,394,434,317,256,855,701,969,
914,627,516,074,857,568,261,380,891,563,365,578,515,538,657,036,728,705,606,
035,056,672,869,798,112,357,299,999,646,240,367,359,859,247,073,234,883,923,
848,216,427,682,878,621,664,362,339,430,329,715,077,042,054,518,217,200,303,
031,453,863,774,219,989,912,028,230,469,953,977,019,284,837,223,934,763,118,
834,937,091,477,018,987,549,979,828,082,333,737,075,601,251,535,828,358,214,
751,057,169,583,514,419,768,252,619,746,549,452,633,560,622,668,182,930,297,
446,711,256,360,603,755,119,429,004,595,249,538,551,886,840,360,105,984,365,
848,021,242,454,930,951,775,940,987,081,912,944,521,600,482,054,913,464,731,
369,494,638,257,659,042,524,123,366,436,122,160,788,142,977,702,040,566,515,
209,003,675,392,604,097,037,724,196,693,815,365,845,548,316,024,465,602,674,
127,416,097,301,508,845,358,997,505,937,103,877,397,021,199,583,022,631,719,
683,334,599,793,887,674,156,865,039,399,883,429,021,268,648,232,559,746,601,
179,506,017,485,477,827,323,966,843,390,086,189,979,924,844,158,768,469,032,
038,630,630,861,926,926,386,822,261,007,139,199,484,623,563,511,907,919,263,
547,304,887,845,410,478,737,686,646,676,642,876,860,757,155,403,177,109,446,
571,760,500,903,432,026,621,382,551,471,821,715,440,235,542,953,418,507,387,
219,212,441,946,184,000,832,318,067,202,230,728,852,770,698,448,708,356,933,
526,556,480,895,209,953,331,826,180,295,409,625,402,548,102,636,632,388,869,
015,795,913,635,850,714,418,527,604,778,005,561,129,519,923,143,522,767,893,
429,617,653,723,106,446,409,904,083,173,735,864,609,491,443,639,773,016,737,
579,905,687,780,545,338,447,920,884,032,243,609,699,568,234,337,258,488,199,
705,057,103,124,590,000,817,484,934,379,468,857,076,503,974,119,512,703,278,
518,092,095,970,024,774,099,976,210,997,717,796,434,522,707,151,595,901,122,
284,258,142,209,293,659,302,214,859,422,957,514,977,501,770,516,543,093,654,
536,778,138,611,794,091,953,468,830,480,444,172,190,717,381,134,522,425,805,
369,730,380,767,762,258,212,393,913,087,060,675,497,804,464,973,618,104,749,
460,604,658,714,712,331,460,003,140,694,123,119,560,786,508,161,762,731,428,
150,009,159,080,654,932,447,978,538,705,364,941,648,106,374,152,639,806,945,
333,410,456,976,154,186,654,739,412,424,895,255,319,907,398,497,469,573,329,
090,128,335,033,781,559,447,751,377,142,499,028,092,025,401,206,516,636,921,
322,649,570,701,421,319,479,389,971,822,446,166,073,409,213,811,790,253,069,
814,718,393,636,872,573,559,290,552,261,900,050,897,392,906,209,864,282,479,
172,101,366,268,896,342,297,672,899,407,051,120,274,557,699,434,405,565,501,
605,484,641,307,225,399,499,467,924,715,068,631,063,704,211,660,746,904,689,
817,796,818,268,886,890,209,455,201,204,312,941,546,111,164,997,362,407,110,
564,771,872,353,623,411,348,827,800,966,163,084,827,053,066,975,433,308,803,
529,353,428,392,894,225,564,276,734,735,505,777,300,881,803,652,121,387,822,
094,198,781,417,613,885,999,882,807,476,615,117,936,807,299,997,118,147,220,
594,044,742,475,741,245,897,435,245,881,765,981,846,931,706,449,557,359,798,
297,164,693,871,434,881,153,148,571,792,023,557,887,517,635,795,280,655,333,
634,632,457,512,850,390,905,716,395,422,846,104,414,053,371,163,332,409,101,
469,210,424,768,990,997,673,636,142,182,806,897,483,038,097,090,084,670,654,
033,617,315,176,537,015,632,790,215,572,778,568,916,579,099,619,767,550,081,
755,836,155,942,506,590,205,473,339,207,152,686,145,344,480,635,368,047,565,
766,556,356,527,164,947,117,452,312,630,502,142,321,025,731,667,101,419,087,
064,265,068,519,083,163,768,299,280,683,076,040,821,188,567,423,465,772,207,
362,507,333,510,972,271,892,198,641,916,043,166,951,107,576,265,009,084,965,
187,386,258,146,921,938,937,140,895,925,511,133,794,958,545,690,776,476,051,
213,076,362,100,355,740,168,882,507,006,084,486,531,841,563,246,817,338,033,
838,164,840,669,272,970,357,669,095,822,621,059,497,997,858,411,501,108,294,
461,220,772,459,038,272,851,477,880,118,138,740,408,183,182,432,909,155,296,
753,890,576,296,231,307,467,342,189,040,833,774,502,122,779,915,459,503,958,
210,894,772,864,700,896,214,928,483,142,024,884,788,567,760,066,712,934,709,
270,066,145,574,565,827,978,190,727,907,454,297,920,639,822,982,412,975,226,
559,422,252,294,872,335,567,728,506,974,057,996,837,671,030,955,903,882,916,
617,458,261,277,508,953,840,736,013,093,512,899,396,526,575,123,932,723,902,
137,802,118,900,559,694,777,530,515,931,779,160,451,713,539,360,287,939,809,
807,498,906,177,265,105,196,449,231,469,278,612,547,134,271,455,879,424,603,
920,992,555,867,737,583,592,534,382,586,193,060,285,579,899,260,021,779,723,
731,812,967,652,928,930,638,810,424,688,651,095,870,831,967,671,676,559,509,
057,340,069,029,865,073,937,558,175,182,712,007,966,561,983,838,867,357,240,
089,144,148,188,271,589,031,685,511,888,560,423,270,220,624,886,877,131,586,
710,581,769,595,509,804,849,590,646,215,710,742,887,637,089,498,697,043,116,
966,894,551,429,303,683,923,237,367,243,096,929,015,550,654,889,260,868,724,
001,563,837,213,981,949,201,628,999,619,693,856,964,635,865,549,649,914,068,
959,958,129,458,027,590,957,200,041,427,161,653,981,129,198,729,203,766,670,
365,251,460,425,252,490,278,634,230,771,420,362,405,724,068,743,678,673,954,
612,337,472,981,885,716,567,905,023,124,257,024,418,358,826,715,231,402,280,
225,394,244,371,769,765,113,630,917,520,456,372,888,171,252,442,133,883,954,
480,376,972,835,298,709,942,340,686,406,502,061,449,516,328,145,652,864,270,
880,915,152,076,293,005,197,323,815,056,218,817,500,935,250,218,173,497,408,
631,030,032,022,260,115,100,138,614,319,477,852,341,609,512,278,905,726,683,
301,425,384,409,097,266,458,841,829,744,507,935,108,958,206,619,131,818,024,
876,913,441,789,061,595,643,538,536,700,426,735,788,402,051,158,328,218,412,
867,206,053,562,118,304,432,356,953,588,024,531,180,393,892,069,659,589,094,
387,081,037,361,783,037,795,272,194,283,571,823,069,615,184,160,122,204,593,
469,877,418,606,128,993,010,874,199,473,143,558,971,758,318,987,043,304,724,
562,403,354,887,358,564,630,849,622,500,639,889,185,553,898,739,310,129,597,
715,675,114,569,162,008,399,993,763,113,399,401,326,799,176,071,891,512,740,
534,805,138,369,344,060,391,374,897,186,003,241,706,422,035,475,174,948,934,
291,950,918,281,136,471,618,739,287,243,704,243,004,013,691,359,776,427,572,
963,842,501,078,103,559,621,496,685,314,644,024,674,503,236,681,670,828,462,
361,127,489,572,225,236,590,441,434,240,733,444,014,251,813,088,939,494,889,
727,174,761,727,208,751,588,360,886,645,900,739,123,349,162,015,194,570,289,
105,813,972,339,360,279,127,359,449,644,459,881,570,505,905,087,024,586,664,
133,063,037,281,315,729,485,337,065,380,890,884,148,613,552,574,884,001,964,
643,426,537,207,747,110,183,381,647,310,187,271,668,558,152,191,468,261,260,
906,062,366,138,276,823,329,375,361,671,728,535,184,406,623,261,648,483,811,
488,692,825,869,941,212,308,930,327,674,554,137,859,162,829,072,702,789,119,
047,903,077,564,994,869,378,917,925,289,697,976,271,797,514,043,903,000,972,
467,195,191,214,939,790,936,798,115,131,955,729,328,193,475,338,921,654,538,
270,394,693,729,130,923,334,853,936,471,411,415,664,892,007,937,427,756,984,
724,330,798,883,589,478,843,495,503,334,401,519,357,053,489,704,183,003,477,
755,087,689,390,651,179,842,917,718,223,718,353,236,516,622,121,178,965,864,
528,409,981,082,591,853,388,030,106,049,444,152,942,398,323,720,653,899,728,
487,615,858,863,705,307,522,276,279,181,719,337,218,338,579,995,224,202,379,
638,828,680,481,711,194,677,945,700,132,015,444,842,111,102,169,516,559,657,
696,474,314,385,782,082,650,310,187,720,815,668,780,372,993,723,515,989,458,
668,915,970,676,995,026,339,779,527,583,904,315,951,912,209,507,085,112,111,
859,250,429,134,614,688,386,041,162,104,379,593,898,769,532,048,013,285,150,
326,803,120,653,627,187,522,546,111,117,084,434,062,589,798,476,160,122,806,
669,227,300,329,978,372,122,453,914,116,006,094,850,232,724,278,510,056,848,
751,949,746,862,473,977,281,373,927,672,275,385,925,372,851,721,710,062,587,
528,806,809,916,119,604,348,081,991,673,046,211,088,820,365,614,637,623,166,
641,482,408,733,271,005,255,133,695,387,674,862,549,355,041,554,196,691,455,
863,702,748,013,054,388,465,846,469,351,077,287,689,332,756,116,395,857,406,
518,333,794,397,418,663,309,404,939,778,941,971,985,312,416,052,379,099,601,
950,120,660,090,146,283,146,028,317,699,125,997,346,317,398,033,305,048,251,
542,985,488,670,007,601,934,475,814,605,924,278,626,031,593,171,845,776,339,
894,708,347,346,786,810,408,057,681,867,109,421,953,915,227,285,424,566,362,
252,928,918,211,042,549,192,534,122,511,748,153,662,097,229,361,940,943,790,
010,117,415,040,451,871,072,289,240,886,082,436,043,329,147,234,052,812,377,
040,851,325,389,879,019,888,748,545,270,538,335,083,051,393,733,656,781,042,
140,980,920,441,357,983,063,823,107,745,995,172,740,081,992,451,489,767,703,
807,087,204,219,013,582,955,161,176,418,532,291,207,699,327,707,369,589,908,
793,408,210,825,655,008,378,346,047,486,841,291,427,500,154,799,272,393,538,
996,645,549,856,136,665,454,996,864,515,884,243,350,700,950,620,615,874,675,
496,255,087,464,553,061,749,497,152,320,995,792,558,707,788,542,017,037,571,
463,102,321,351,482,105,689,565,246,556,280,668,394,094,827,238,871,456,288,
591,482,480,699,253,357,263,853,371,056,204,619,364,910,695,072,685,636,626,
944,186,405,975,360,163,087,268,660,710,313,457,019,069,816,096,966,571,141,
630,120,054,438,310,527,690,362,554,861,414,554,782,493,272,096,606,652,796,
574,371,983,704,966,764,557,469,756,946,274,224,615,491,033,195,405,197,670,
145,570,627,613,541,263,765,957,259,815,396,635,583,819,363,099,535,955,662,
159,658,288,877,383,376,471,653,062,334,063,653,157,686,147,699,335,150,030,
741,845,389,469,827,212,804,852,447,981,835,551,425,347,385,495,873,236,322,
252,938,034,412,308,473,025,201,042,504,943,648,877,537,532,210,899,883,995,
212,386,924,763,089,556,213,932,066,938,374,370,649,759,672,356,591,783,971,
183,540,785,712,307,378,955,844,170,471,048,521,975,053,584,033,769,922,593,
502,952,877,782,198,192,622,307,062,598,811,499,245,847,439,259,327,444,553,
885,633,965,681,812,849,843,698,440,860,115,382,828,181,312,535,012,696,919,
182,848,909,602,316,422,521,708,782,933,057,873,153,603,497,952,134,782,440,
618,242,433,964,101,196,419,722,339,001,476,081,928,711,446,171,045,837,653,
572,918,430,811,924,540,438,402,686,370,558,077,035,064,147,286,229,951,937,
074,726,303,261,171,819,837,394,414,409,225,042,629,200,953,597,547,617,712,
860,252,706,762,589,395,727,410,252,442,780,280,558,883,494,973,681,942,034,
529,630,528,055,843,779,384,216,461,100,038,945,624,217,708,348,418,766,065,
591,493,811,421,782,287,936,382,956,207,004,521,002,795,468,238,787,924,038,
427,509,675,800,732,498,861,323,053,118,284,674,860,463,910,653,177,789,732,
068,352,871,740,390,473,867,994,396,420,073,706,351,885,791,305,391,569,097,
603,177,740,734,596,721,973,754,886,889,255,781,348,518,570,833,163,988,384,
614,681,095,237,111,769,442,317,984,992,133,197,961,176,000,036,297,328,137,
020,567,683,451,009,340,872,024,343,007,784,830,679,092,138,355,644,522,843,
001,944,605,263,540,906,275,894,932,131,336,916,787,936,667,355,187,777,473,
779,418,445,232,370,934,575,163,714,649,099,843,176,830,989,916,013,838,108,
979,730,877,170,066,986,039,394,487,008,562,131,530,881,196,018,096,630,701,
881,713,053,774,045,802,896,191,023,539,611,128,193,089,825,323,519,250,569,
278,306,867,243,880,312,992,600,339,546,923,246,735,266,518,664,838,560,783,
260,544,663,848,430,805,821,174,261,533,705,707,929,482,438,055,372,264,440,
627,292,003,498,474,881,575,241,029,777,156,278,290,805,585,797,819,582,455,
953,596,096,049,637,606,246,578,980,589,402,170,022,714,251,402,484,370,120,
987,662,657,973,498,970,524,409,553,438,192,315,074,874,246,607,702,156,766,
613,241,843,027,420,345,059,313,889,982,589,487,105,561,360,958,443,430,301,
138,818,331,866,277,807,303,363,892,083,569,177,770,050,400,026,154,791,769,
280,225,519,034,714,195,490,829,092,294,021,198,483,230,016,847,096,036,177,
005,481,756,861,076,549,012,381,175,889,898,794,274,922,894,032,628,093,114,
881,955,659,401,023,797,161,560,610,886,169,106,546,516,772,125,316,769,324,
289,139,212,451,228,783,052,641,243,994,582,944,488,733,153,667,992,394,151,
676,672,505,010,007,208,271,844,311,906,982,464,928,868,581,988,747,668,386,
669,078,169,634,055,912,699,334,005,797,044,957,662,513,902,833,534,940,217,
126,406,974,626,774,869,760,119,172,666,540,313,404,576,437,328,838,133,318,
499,564,176,797,491,441,036,954,555,878,962,314,517,120,392,781,325,226,344,
235,724,351,970,663,079,119,417,407,981,823,333,547,820,102,330,841,751,968,
163,343,819,149,933,091,313,316,202,980,812,363,308,908,496,214,526,136,713,
850,153,902,565,675,684,985,301,117,686,974,649,412,787,657,813,386,746,236,
130,622,001,765,684,043,703,740,753,630,358,953,936,018,045,449,898,182,007,
862,065,142,536,479,259,404,247,593,595,685,071,773,700,952,629,307,709,709,
702,084,677,152,149,591,341,875,608,701,300,820,350,375,716,394,947,668,601,
603,997,640,750,874,512,035,277,515,528,948,299,871,929,829,106,398,753,359,
058,932,423,652,309,948,124,296,113,562,196,585,344,719,636,046,792,091,696,
725,812,801,683,637,411,175,465,768,547,879,149,931,813,231,105,105,384,261,
745,091,333,374,000,462,291,189,017,994,018,363,372,301,018,026,721,473,483,
115,030,888,627,682,451,489,652,069,429,635,417,248,728,527,027,866,091,133,
859,007,720,519,642,125,374,857,393,217,966,535,878,043,877,141,352,289,910,
060,540,708,053,215,173,063,300,059,781,700,237,355,593,195,118,901,126,165,
696,041,922,731,618,557,746,123,152,637,621,692,499,110,649,660,154,704,108,
535,701,529,869,541,814,546,227,025,259,159,090,223,975,503,875,280,860,232,
826,752,869,969,517,426,689,616,016,367,574,041,508,360,310,039,898,280,608,
292,943,754,818,880,884,125,425,922,212,375,679,928,557,524,903,214,277,334,
549,648,775,076,774,966,379,331,447,905,171,174,292,293,524,409,566,348,099,
656,898,485,687,494,737,376,200,920,964,172,865,980,004,644,815,788,222,758,
520,250,182,956,586,921,340,473,232,139,528,751,574,792,698,315,956,035,948,
248,916,547,748,270,295,881,516,861,279,657,092,179,556,647,637,881,141,366,
556,661,757,335,403,301,593,321,580,492,454,796,970,354,050,520,835,514,463,
414,115,911,624,581,057,298,992,961,782,033,661,814,865,568,309,538,865,500,
584,022,213,685,516,004,816,208,975,141,038,891,906,480,248,218,859,837,554,
768,314,945,032,130,349,303,273,403,535,894,955,026,886,634,324,646,377,149,
382,247,343,801,462,576,154,741,906,575,590,621,402,101,459,911,872,955,357,
049,817,025,146,757,743,045,232,103,533,717,473,509,650,538,754,700,672,418,
998,200,148,300,645,211,073,340,812,758,133,539,739,425,571,246,807,186,587,
664,979,670,869,882,306,184,248,181,849,417,071,763,591,237,102,160,684,397,
272,204,342,327,318,794,373,076,720,906,892,165,489,839,939,487,526,257,641,
634,190,732,561,403,637,555,402,991,742,832,274,809,741,377,538,558,494,335,
595,690,575,327,457,133,209,660,384,663,151,346,807,278,691,042,129,793,443,
517,222,358,184,164,488,028,877,143,839,806,207,530,173,046,620,402,093,800,
403,875,216,904,033,996,225,718,632,743,846,638,410,279,652,637,464,596,775,
036,864,915,284,148,224,236,135,978,727,796,976,710,373,291,126,047,954,176,
478,952,245,003,351,221,245,888,101,746,683,497,750,381,265,358,556,178,017,
234,778,626,385,863,343,868,598,341,907,776,216,909,430,994,914,615,356,584,
997,945,408,598,024,668,872,512,999,875,615,847,674,408,411,150,801,930,928,
103,193,823,126,395,262,259,696,218,756,343,311,988,465,220,892,963,017,417,
545,758,120,921,348,443,702,819,424,946,380,808,833,280,517,867,599,496,101,
065,702,723,211,604,904,659,064,494,215,370,215,250,075,254,375,760,528,738,
808,728,863,046,727,921,994,253,163,653,164,608,241,960,149,005,984,563,833,
509,947,510,798,248,198,677,594,554,981,009,226,628,610,411,219,794,294,178,
421,328,377,723,242,522,470,633,415,703,546,780,733,844,098,381,951,666,769,
935,446,265,135,968,065,537,798,502,480,143,198,161,995,975,210,226,516,790,
209,722,175,528,187,727,848,949,998,368,736,333,532,051,861,582,670,901,861,
606,900,430,763,111,593,242,870,773,897,332,261,104,462,636,722,818,810,472,
951,514,765,439,444,253,740,932,634,244,321,927,072,238,647,450,534,573,724,
904,736,809,810,850,906,497,394,416,244,628,527,884,521,088,801,534,293,704,
369,461,042,937,202,542,273,693,750,638,379,451,003,493,433,289,156,451,708,
559,835,745,521,029,014,129,353,093,328,036,919,677,343,235,997,048,554,477,
434,037,721,165,416,944,367,716,521,104,701,076,278,968,627,233,954,179,050,
608,439,680,227,291,825,621,530,637,784,867,617,168,615,160,853,416,153,820,
655,536,227,223,478,146,427,950,847,533,006,306,880,504,490,953,030,110,985,
184,349,205,638,727,163,749,144,617,541,373,743,115,952,326,823,580,343,105,
642,259,266,351,960,444,564,598,184,297,031,557,710,171,597,374,538,077,411,
300,861,091,900,330,363,263,837,525,036,790,695,743,711,030,962,062,819,612,
026,918,048,988,779,024,214,282,840,090,772,015,115,913,177,927,930,725,412,
290,792,207,624,147,646,349,894,648,765,387,850,888,996,993,526,120,894,483,
681,856,575,706,688,858,592,644,757,022,758,489,223,220,001,160,727,136,201,
524,007,042,390,322,481,796,083,897,447,721,525,023,036,629,202,319,406,924,
082,628,433,794,758,213,334,410,014,380,327,963,607,103,422,444,220,656,830,
219,946,949,745,974,641,975,341,639,594,502,695,047,490,521,742,120,830,635,
196,268,712,017,489,118,352,476,255,938,191,762,139,116,401,748,992,817,993,
506,270,856,224,214,757,516,843,599,591,128,434,582,957,117,818,607,169,056,
884,959,925,008,677,180,168,970,480,900,369,233,903,027,008,765,736,412,966,
916,061,813,577,331,080,200,737,823,406,648,015,063,149,459,293,312,506,676,
217,350,984,665,220,214,071,478,386,737,834,145,287,374,691,460,823,569,753,
851,499,656,467,214,684,538,197,983,042,522,264,420,868,493,261,979,697,688,
291,887,026,301,833,404,372,138,794,047,691,064,320,586,319,434,422,708,714,
141,805,467,010,088,830,366,449,902,749,062,805,632,646,679,182,450,181,693,
303,357,054,789,285,807,749,398,515,345,410,130,899,411,131,184,458,850,971,
012,306,742,556,288,899,435,088,707,295,937,976,539,216,401,836,605,069,001,
478,004,427,503,149,573,278,051,378,595,781,152,291,121,543,014,451,488,861,
205,417,871,005,371,201,167,577,291,968,505,989,411,694,961,956,076,366,846,
289,978,405,817,606,014,861,720,033,477,301,436,854,722,009,649,258,877,401,
055,329,314,594,410,610,425,779,128,655,556,688,114,218,519,819,638,950,014,
203,783,549,342,667,270,777,401,563,326,548,968,991,787,560,855,363,720,688,
889,858,508,387,975,970,698,078,128,505,000,476,478,478,550,440,865,284,969,
685,638,964,828,806,598,020,942,614,169,646,083,755,278,260,936,503,689,336,
902,283,442,486,725,781,634,719,828,812,750,342,686,482,614,697,245,047,619,
756,392,957,371,331,626,867,203,293,585,141,128,152,133,549,822,339,465,946,
290,326,987,377,124,074,223,087,552,464,238,871,439,692,989,383,899,368,730,
308,536,412,869,374,632,628,103,596,857,529,314,002,593,180,347,939,316,451,
473,538,415,226,719,617,734,412,460,968,857,301,330,982,436,254,520,378,715,
025,692,913,587,621,842,401,773,187,950,153,696,801,010,543,940,599,315,004,
695,605,668,875,669,702,387,030,911,246,251,532,430,102,529,346,178,847,076,
991,053,157,123,654,807,309,914,694,853,056,976,449,221,564,920,979,309,590,
530,404,120,359,107,254,196,885,359,773,582,409,879,659,685,261,141,738,197,
072,749,095,083,782,279,610,672,960,251,564,119,046,142,328,781,066,773,519,
765,298,885,787,514,160,468,639,972,778,833,814,746,749,180,062,582,707,210,
506,745,151,205,496,656,663,877,783,309,345,861,587,834,655,276,000,005,806,
096,359,614,749,771,942,776,636,530,223,129,501,226,331,572,613,191,824,488,
466,578,301,078,932,118,683,107,340,848,584,554,787,838,749,639,119,950,684,
404,755,233,490,197,467,344,606,113,869,966,194,166,665,805,659,025,039,584,
792,615,016,365,526,343,934,400,570,454,096,919,702,590,688,770,917,286,784,
496,197,822,083,299,834,219,661,560,152,476,411,312,986,591,293,674,607,967,
690,448,394,899,631,513,364,706,103,786,787,291,595,929,695,240,138,208,138,
169,841,813,466,938,736,747,563,824,384,726,960,911,483,491,524,747,736,284,
610,686,304,446,774,922,105,505,201,206,431,259,301,708,527,210,044,956,720,
773,054,750,589,184,886,262,150,425,929,965,145,651,810,094,442,312,352,140,
345,424,151,957,862,249,509,570,264,152,244,203,705,846,432,101,229,372,706,
492,061,405,528,529,212,202,577,348,247,345,925,010,133,698,213,244,483,761,
809,539,027,441,651,957,990,108,590,059,755,715,883,404,255,185,568,212,863,
977,333,455,866,722,197,449,948,416,023,054,790,971,098,787,869,186,361,796,
118,493,230,223,059,849,893,193,124,171,939,589,630,922,028,018,821,021,974,
763,917,037,239,166,472,074,269,797,126,191,807,880,506,744,442,882,064,035,
238,159,163,594,718,959,204,672,641,364,051,349,571,450,664,112,769,552,080,
586,512,895,036,596,029,490,207,740,801,670,626,564,103,832,408,649,878,658,
414,756,656,511,651,714,276,948,316,945,528,021,729,691,873,855,700,532,528,
581,420,357,055,001,226,175,860,421,148,031,546,648,388,827,985,035,791,151,
866,300,013,946,557,446,459,476,589,364,110,000,707,744,084,544,878,615,030,
932,291,116,547,660,402,960,565,282,835,800,731,998,571,359,742,456,980,583,
791,454,081,560,558,479,933,379,020,621,847,010,332,935,696,898,792,732,004,
220,599,188,840,420,333,178,850,880,441,131,991,360,008,319,811,822,437,985,
490,706,392,217,361,800,262,754,223,472,130,713,585,673,881,816,076,491,109,
085,211,087,677,693,720,858,108,025,310,155,263,384,791,861,784,597,340,506,
394,258,895,141,965,411,259,669,569,175,152,003,561,691,714,908,206,429,243,
961,320,667,517,463,399,851,061,556,780,810,334,031,491,748,141,659,857,013,
250,649,361,831,767,108,979,597,726,439,876,968,905,445,517,470,033,767,937,
765,235,480,137,729,940,756,320,462,344,499,883,924,956,875,559,440,566,203,
758,662,384,744,456,293,188,980,467,005,714,145,871,405,611,984,236,954,477,
753,631,676,926,931,023,607,875,797,910,524,148,544,584,258,605,540,402,212,
491,471,947,140,622,950,931,903,395,027,381,703,789,683,741,343,357,879,291,
172,596,547,347,091,487,275,541,641,822,468,222,538,363,228,132,455,911,991,
676,002,419,481,266,011,591,212,198,756,787,221,212,678,261,768,156,630,830,
510,099,271,225,288,427,970,282,745,320,565,887,315,522,590,837,870,844,571,
075,507,220,494,210,398,879,243,391,634,100,911,551,924,367,577,758,777,197,
338,119,126,938,646,451,866,677,127,227,162,241,601,160,114,593,591,976,573,
072,955,195,156,971,769,902,650,041,545,746,066,316,353,813,775,646,776,590,
319,285,074,468,336,764,749,344,142,695,372,652,776,645,247,658,677,848,578,
459,712,777,815,377,829,678,718,544,970,371,085,223,104,901,893,899,157,315,
314,456,640,466,608,354,874,665,920,701,400,801,659,738,652,756,318,175,855,
239,193,192,154,911,064,094,015,835,833,040,870,363,008,919,024,620,645,680,
617,885,267,618,094,742,860,773,103,474,518,127,428,490,955,393,992,032,009,
172,843,682,612,044,011,461,631,476,636,198,492,643,482,420,233,292,389,544,
672,882,256,936,184,234,205,538,617,125,477,552,985,814,240,181,735,508,553,
088,167,931,558,425,150,897,814,633,410,688,247,650,258,571,361,296,809,438,
730,716,279,684,069,236,445,835,409,914,647,366,650,826,212,332,910,892,443,
118,957,895,449,480,916,370,706,710,695,071,784,308,007,315,434,008,942,691,
988,898,532,393,868,948,158,742,708,707,489,928,903,635,442,218,922,871,833,
971,970,055,360,396,659,052,224,784,171,714,127,545,314,624,665,750,978,859,
546,663,071,789,976,206,080,462,487,611,759,094,178,191,583,809,847,132,946,
764,826,146,954,748,321,307,092,929,788,105,510,012,243,340,422,056,648,329,
250,127,558,075,853,819,491,158,229,972,886,893,434,243,709,092,979,996,049,
232,698,816,279,068,174,891,607,209,986,809,666,147,131,408,583,832,169,319,
199,375,842,120,612,969,443,676,940,941,059,180,504,684,172,689,014,417,958,
149,775,689,765,200,027,856,179,187,003,993,018,738,192,677,407,130,791,148,
620,675,307,829,702,010,453,560,439,629,272,993,196,038,338,334,410,833,749,
822,715,932,069,448,963,509,660,534,544,290,075,497,044,775,907,558,607,689,
331,266,773,271,969,088,477,615,958,729,482,259,878,062,392,915,215,017,225,
797,187,144,523,004,652,343,231,956,414,803,899,418,255,856,974,046,569,279,
456,852,460,010,935,045,393,290,910,578,020,189,282,944,136,732,495,170,184,
127,876,566,095,719,338,474,050,072,299,600,219,778,783,768,053,222,144,739,
269,098,809,509,058,934,338,417,705,753,288,068,115,981,584,279,152,954,706,
504,368,302,047,517,506,363,004,682,309,187,522,032,207,819,622,492,233,452,
160,742,780,702,305,903,209,894,679,604,320,136,531,233,769,739,939,303,833,
338,570,650,093,185,718,903,644,184,808,731,226,376,254,424,969,622,530,628,
965,006,146,753,180,454,356,792,612,825,867,388,217,127,727,915,934,324,242,
976,589,017,360,199,498,764,314,619,562,185,764,640,874,683,265,353,524,839,
620,910,864,907,942,409,581,925,523,234,175,927,762,348,401,012,447,684,324,
803,190,586,353,604,704,130,004,418,338,284,351,951,626,038,755,390,413,579,
824,030,389,598,010,461,011,386,156,466,866,430,806,936,219,101,625,588,071,
137,538,300,978,991,945,338,465,045,735,183,188,765,302,065,998,814,959,692,
788,967,067,578,643,714,686,378,476,108,845,831,376,918,215,265,300,296,500,
338,159,641,077,991,174,339,725,319,560,605,119,539,635,945,288,240,327,160,
464,316,783,277,232,169,008,969,832,512,206,368,997,393,708,934,970,082,113,
106,443,807,344,172,259,708,670,487,526,945,045,863,715,258,806,360,901,998,
856,596,275,083,091,131,032,781,024,118,428,116,527,406,535,302,466,106,881,
368,158,005,225,350,414,252,836,521,331,022,360,067,083,764,135,163,998,316,
203,453,309,322,763,658,893,814,901,835,017,567,659,028,232,024,250,957,874,
755,452,069,929,419,816,163,264,920,263,741,206,211,309,855,038,216,630,373,
632,374,862,390,298,990,878,630,465,317,124,874,859,673,857,130,935,190,571,
420,951,335,399,733,915,528,148,130,795,574,698,162,502,222,320,427,688,319,
962,103,451,545,659,487,298,305,916,974,202,534,651,722,480,453,470,272,896,
872,396,592,155,365,495,397,896,486,792,168,326,290,564,860,218,428,381,188,
313,544,123,474,666,742,138,505,028,459,748,860,498,799,346,751,027,065,607,
657,209,934,908,790,872,656,236,023,771,856,605,879,952,079,627,266,199,039,
167,303,374,935,608,543,720,137,369,895,685,140,158,051,702,259,391,490,508,
996,694,844,193,265,671,202,163,201,169,183,782,101,346,626,924,321,619,938,
783,059,708,738,397,330,432,655,479,384,626,514,010,591,170,706,068,837,939,
027,739,216,786,011,330,490,554,698,354,612,192,230,140,827,669,591,687,562,
278,827,239,110,826,878,033,455,589,333,083,009,547,829,314,093,635,847,312,
982,209,615,515,320,346,182,463,861,883,168,500,891,661,594,505,854,953,672,
362,576,047,842,142,185,337,455,729,208,935,732,939,387,844,154,459,560,876,
292,496,229,593,527,645,326,018,765,291,047,594,725,075,356,635,330,966,785,
637,251,591,989,048,151,136,461,089,084,196,511,990,021,276,203,817,228,653,
320,902,517,873,055,246,849,136,959,756,323,104,800,463,784,176,030,991,973,
775,354,991,199,695,306,355,291,236,206,661,170,913,965,160,031,257,591,834,
923,810,230,304,150,306,324,595,560,160,348,138,157,878,955,840,637,570,949,
568,929,548,854,568,039,946,001,548,270,028,892,430,449,114,878,949,484,540,
231,913,993,277,912,602,377,482,260,863,338,217,255,399,353,209,069,273,305,
707,828,937,921,755,603,676,152,657,500,621,760,193,618,897,529,702,773,603,
129,363,102,311,688,243,847,927,934,568,380,773,173,369,859,908,293,705,956,
212,326,667,240,278,943,105,583,767,854,080,586,849,432,566,177,405,986,221,
448,061,025,184,583,126,597,348,638,935,533,040,177,314,109,319,780,173,870,
370,081,305,564,681,246,347,621,507,973,971,554,624,560,465,685,965,981,982,
358,085,657,194,802,297,449,119,649,033,170,686,219,400,261,332,782,859,808,
885,610,701,068,382,800,835,930,140,334,423,212,814,145,278,305,651,570,231,
917,388,803,774,336,588,807,447,209,235,445,864,786,801,369,593,035,568,902,
535,210,950,837,748,747,059,631,901,660,246,345,040,553,773,523,704,160,603,
116,240,711,659,130,778,604,581,881,450,883,460,869,268,042,248,587,815,448,
555,237,696,918,851,376,983,162,292,901,339,284,286,123,590,555,775,502,322,
806,261,705,104,814,373,643,172,219,268,276,435,056,871,317,040,363,094,575,
363,519,610,543,349,225,834,039,555,088,834,930,298,986,845,131,492,926,625,
719,627,293,235,458,941,910,680,954,988,600,789,668,885,476,215,089,347,748,
528,337,041,090,316,480,771,771,686,481,439,551,840,690,656,111,476,650,570,
383,433,042,021,629,896,438,779,916,531,732,846,366,493,328,829,496,031,933,
286,940,916,803,847,780,772,265,294,037,515,369,929,153,931,708,200,802,837,
044,008,172,995,747,450,443,649,502,217,283,823,303,137,624,921,526,174,627,
884,689,859,940,250,148,716,556,545,831,289,597,851,046,630,197,327,184,319,
275,897,069,596,140,560,622,009,200,851,708,556,964,634,123,448,102,415,465,
433,953,506,727,232,796,240,500,157,176,745,339,941,548,373,561,554,267,933,
079,082,153,172,256,986,604,937,826,706,116,221,815,324,091,475,486,047,661,
462,079,802,531,346,142,453,265,699,366,247,534,933,586,987,497,847,365,974,
570,350,148,494,271,645,221,588,074,633,846,967,465,327,535,446,594,642,284,
464,463,192,330,838,383,016,059,950,670,697,323,183,514,207,019,291,801,510,
510,753,131,408,991,811,561,573,960,537,636,296,048,966,103,673,713,747,162,
255,001,059,077,945,317,147,683,399,763,544,374,552,467,793,851,963,377,777,
758,032,307,993,628,525,175,463,296,009,728,902,372,385,865,361,422,853,487,
563,022,140,585,942,483,222,412,275,798,719,631,892,745,506,247,067,445,730,
475,565,880,791,350,806,936,046,498,885,797,321,590,459,105,913,806,030,127,
844,707,916,967,504,968,179,431,519,637,969,354,853,879,488,985,925,658,266,
272,633,547,460,651,605,090,814,718,985,284,005,735,693,622,246,646,254,971,
113,760,376,896,450,702,768,011,447,080,640,323,981,971,260,986,522,676,183,
593,391,429,259,149,725,653,117,316,032,184,611,527,391,906,092,117,552,183,
752,787,244,445,132,024,918,327,913,829,672,186,534,848,751,231,589,260,695,
498,151,995,184,254,839,231,200,083,416,893,069,332,542,508,746,952,407,449,
796,349,343,976,247,689,701,450,733,921,014,022,682,062,085,152,480,821,298,
805,594,170,946,315,930,318,838,123,455,061,393,453,247,094,724,835,208,346,
702,513,947,558,705,062,245,424,554,548,847,672,190,203,676,970,563,034,097,
762,212,278,848,861,066,796,393,723,853,307,170,830,984,522,340,613,178,627,
751,292,207,832,738,472,741,337,806,670,396,115,765,759,543,844,664,682,350,
969,596,769,082,008,718,435,075,146,782,092,267,069,472,230,218,275,423,523,
749,943,319,721,072,702,215,907,220,975,737,736,779,833,434,760,491,903,681,
663,085,590,569,049,808,492,226,082,878,996,291,453,174,671,072,823,161,155,
753,137,587,647,679,792,844,790,689,445,303,543,651,355,554,092,569,607,263,
448,277,127,129,300,241,590,467,323,107,882,132,074,522,402,927,417,781,117,
798,581,593,322,503,350,118,389,360,608,277,771,979,660,402,807,690,939,201,
189,567,915,188,211,425,868,919,520,635,576,957,085,963,880,911,151,077,703,
802,618,934,023,327,255,913,883,680,103,721,642,461,032,530,958,340,362,511,
723,329,501,584,030,820,647,877,124,132,958,366,004,488,753,037,861,798,129,
959,099,567,335,256,558,542,998,897,974,805,227,083,388,831,408,374,111,245,
975,714,537,790,796,474,416,612,494,815,803,535,414,736,404,177,668,698,626,
069,307,088,417,507,124,279,913,279,429,976,590,454,931,532,076,936,527,049,
992,956,976,801,532,844,852,941,214,687,623,566,960,947,864,010,066,856,003,
256,662,370,797,401,705,403,680,128,799,699,238,451,854,083,424,216,264,292,
780,390,184,882,982,876,887,188,663,414,259,110,158,502,588,357,889,040,605,
358,060,904,562,251,184,516,215,077,624,392,438,116,838,176,594,534,980,638,
716,389,718,021,646,222,574,963,541,931,618,584,646,492,994,580,973,159,076,
561,110,880,411,418,737,999,310,227,999,678,118,012,569,459,791,974,177,018,
748,571,408,572,216,506,292,179,120,505,424,328,816,168,136,465,485,357,761,
998,264,724,158,809,648,700,336,645,381,079,322,892,374,397,366,104,555,111,
655,362,663,089,463,148,589,375,544,589,205,519,393,603,778,439,678,255,708,
906,984,603,492,650,208,782,104,875,851,737,566,597,258,165,504,477,134,214,
849,653,167,924,901,213,021,226,245,219,395,383,131,445,795,931,026,171,678,
107,430,374,495,888,053,534,760,902,670,293,197,806,844,735,384,412,655,644,
680,414,962,905,727,067,147,580,710,915,606,573,373,468,484,027,406,004,177,
043,164,599,022,673,058,797,251,570,605,647,314,956,284,842,516,171,466,631,
448,589,500,414,885,197,479,633,510,158,761,759,973,756,909,603,937,645,728,
891,760,319,508,916,378,579,711,278,538,853,935,436,803,333,220,843,691,665,
368,465,467,640,732,653,934,228,001,374,483,023,345,554,575,967,752,777,073,
509,719,307,582,315,690,453,291,490,539,747,809,939,943,489,194,697,609,948,
132,668,312,766,810,571,695,032,145,655,307,076,243,734,402,047,611,052,555,
791,148,446,386,673,340,412,877,611,267,452,507,514,996,824,762,322,054,209,
305,062,557,840,319,535,537,541,821,263,810,506,222,670,033,664,115,200,979,
423,360,993,974,394,148,459,324,039,610,184,732,714,100,084,578,658,882,216,
844,362,420,752,828,124,250,341,438,195,269,268,797,109,819,123,468,990,714,
714,479,955,965,424,984,428,397,009,521,350,557,846,831,375,371,110,154,065,
697,085,153,108,885,384,366,243,009,904,193,670,804,880,271,915,306,496,020,
051,585,498,457,277,328,569,928,891,274,688,381,722,964,316,870,514,910,495,
805,644,977,831,862,603,594,299,209,476,221,904,992,829,552,865,852,042,930,
943,806,239,030,587,454,358,934,464,735,287,984,372,475,241,133,405,194,445,
897,670,952,420,984,887,314,042,967,220,627,600,316,324,853,273,309,005,609,
927,408,103,739,963,810,184,458,773,461,652,259,652,594,900,047,307,285,774,
900,705,120,999,883,558,260,755,320,020,750,501,303,658,277,067,572,665,373,
679,331,293,151,993,275,981,136,220,545,878,441,888,073,270,760,779,134,988,
054,184,196,957,462,562,693,405,895,746,131,801,747,579,178,951,995,566,469,
994,378,560,896,095,251,464,254,545,846,462,350,800,259,481,664,042,188,086,
256,776,292,169,902,772,236,263,231,168,333,127,578,741,319,934,293,237,678,
131,328,090,876,052,355,512,024,247,766,610,856,102,465,846,795,020,301,372,
019,660,144,438,580,328,791,669,648,836,976,185,784,204,982,870,535,479,149,
121,734,591,358,740,148,828,067,102,826,460,645,110,378,304,710,662,118,417,
992,199,319,552,249,617,640,654,696,526,532,162,696,660,418,759,546,136,350,
574,230,231,424,432,908,086,287,288,721,946,439,307,210,986,509,265,431,435,
514,365,240,316,698,316,227,276,125,215,946,550,396,798,621,332,609,007,051,
364,632,574,332,277,355,908,590,696,846,592,695,002,712,805,477,773,627,689,
708,799,403,982,010,154,305,330,083,744,392,869,290,060,580,226,946,103,579,
598,262,494,242,389,267,816,584,232,670,405,654,724,042,075,305,588,825,063,
528,723,782,824,558,909,711,592,878,324,274,499,641,233,627,034,785,528,458,
037,397,889,806,693,651,147,139,527,753,719,502,801,081,310,857,108,065,886,
130,295,120,784,658,823,074,085,472,753,424,649,018,813,313,894,539,290,270,
617,599,649,601,781,603,249,279,538,439,736,843,483,545,157,671,238,333,503,
120,412,566,484,947,223,975,168,516,385,384,040,678,336,766,002,970,797,095,
057,661,282,635,918,415,282,267,724,444,720,550,454,923,279,446,133,555,903,
923,090,626,556,139,281,065,146,943,143,810,159,021,568,000,189,105,785,004,
440,525,987,995,962,214,824,793,380,280,430,473,546,705,172,134,835,869,289,
706,012,669,347,496,675,236,507,620,490,562,796,595,918,919,702,492,712,153,
137,494,469,234,489,064,860,638,905,500,145,434,226,553,067,005,296,924,100,
818,645,356,172,987,185,796,333,254,541,489,786,895,828,062,611,006,297,055,
881,083,496,974,713,211,888,058,630,293,233,908,487,395,838,585,278,727,155,
406,434,920,789,445,013,961,032,435,147,578,994,548,620,311,720,106,408,807,
209,634,296,581,466,999,873,934,461,413,266,690,995,849,098,949,689,322,071,
969,479,352,493,060,122,040,516,963,931,573,625,006,853,142,045,127,355,617,
615,674,434,834,865,528,081,179,269,901,856,228,590,996,809,558,007,995,202,
868,417,093,677,609,460,012,609,417,781,377,490,038,599,562,002,665,212,067,
976,743,039,150,453,926,296,841,149,205,254,221,412,335,074,337,469,855,017,
004,662,506,365,086,254,030,485,239,051,977,000,954,923,432,489,807,093,004,
087,008,975,377,332,415,614,262,419,302,121,886,629,273,763,202,793,444,446,
120,605,140,515,590,432,136,613,533,952,244,940,006,981,053,208,744,913,931,
691,113,327,191,671,215,570,940,546,156,571,383,640,913,787,543,966,158,830,
314,192,906,425,549,859,756,391,027,582,067,827,457,742,817,387,967,686,640,
131,442,370,838,799,160,203,341,552,957,129,000,660,403,190,798,001,801,460,
471,928,339,508,222,864,955,365,531,540,228,920,274,644,539,387,835,532,569,
035,526,037,815,236,782,419,224,634,766,298,613,326,264,885,045,579,872,857,
174,461,793,647,263,020,269,536,757,993,701,637,005,403,779,342,352,872,834,
325,101,849,768,157,515,863,632,756,631,007,085,039,906,285,027,142,049,538,
271,988,493,719,901,464,827,065,330,861,866,407,698,445,726,030,801,165,649,
581,097,598,209,931,668,662,385,568,811,005,228,147,409,689,620,654,282,254,
832,826,455,082,264,613,264,236,640,500,780,937,240,839,047,651,566,364,906,
578,268,146,127,132,415,446,943,587,019,668,483,614,576,560,627,520,219,817,
677,921,697,338,206,527,404,254,729,045,251,730,897,152,651,236,337,165,231,
241,773,426,793,160,301,294,928,515,071,873,104,789,629,825,136,191,557,765,
385,457,786,826,249,763,997,866,264,670,109,219,808,510,344,264,622,030,890,
719,094,285,471,482,527,827,403,533,498,530,704,328,915,377,144,030,432,062,
675,802,250,031,835,733,201,287,822,109,791,307,547,936,193,452,613,452,628,
964,159,818,071,304,227,221,598,179,435,216,224,013,398,166,828,537,594,310,
582,160,257,188,911,679,823,803,564,865,561,436,316,724,726,694,685,712,926,
923,380,777,394,689,980,439,223,504,235,387,133,799,870,110,833,125,708,170,
269,049,513,898,808,860,097,353,915,817,578,164,718,925,226,107,299,710,182,
799,451,791,040,169,766,406,519,445,587,006,118,419,308,074,899,605,038,924,
941,953,188,486,589,653,897,542,348,759,654,429,566,981,422,692,454,126,612,
336,107,038,336,347,486,507,939,182,256,240,180,679,933,582,424,231,202,167,
372,493,255,439,250,074,078,314,004,367,184,702,390,583,851,427,812,365,610,
849,136,263,173,245,129,049,128,764,715,556,962,284,154,165,565,394,965,801,
222,089,168,130,541,211,817,437,927,750,970,277,758,057,837,493,743,329,716,
959,980,020,815,691,991,656,189,919,233,275,309,929,892,755,615,749,346,369,
559,538,056,304,409,554,350,488,115,443,196,916,800,881,092,885,186,977,821,
900,421,353,786,165,776,512,072,197,003,556,722,390,834,407,914,772,285,007,
185,274,109,231,824,395,357,847,797,432,492,007,789,614,467,050,882,362,111,
504,934,267,315,319,403,640,449,205,078,919,291,330,295,903,333,102,373,021,
758,649,895,532,189,871,061,087,565,699,034,868,263,019,518,643,219,188,742,
401,283,934,372,146,503,457,746,929,355,921,644,503,580,160,439,716,102,050,
118,005,609,852,094,874,139,992,050,270,862,095,113,491,187,108,554,968,336,
201,259,970,308,416,293,283,338,676,231,240,348,728,576,579,799,706,820,717,
917,423,677,484,880,893,559,604,671,944,933,766,762,265,038,022,251,360,063,
817,211,671,104,766,320,705,238,087,860,735,341,285,012,601,743,287,638,056,
961,538,250,742,166,103,387,356,238,896,275,222,300,123,655,931,818,879,240,
995,277,789,872,154,857,940,476,654,624,473,975,701,836,682,752,087,753,991,
040,534,436,302,919,385,153,073,459,009,728,925,847,877,297,563,651,854,410,
441,723,501,631,187,367,540,697,449,613,422,336,866,281,909,668,701,163,548,
469,908,634,151,865,198,547,062,488,369,681,165,661,608,544,690,561,919,528,
737,991,202,202,726,970,608,993,677,360,892,841,623,800,681,207,578,266,729,
015,918,628,274,510,728,424,206,986,844,458,900,688,991,456,486,792,773,870,
499,560,369,299,709,857,841,621,934,914,607,978,688,791,714,978,171,637,244,
026,420,825,829,475,510,323,316,560,912,019,408,067,124,625,141,221,691,495,
552,683,825,842,591,720,189,169,185,279,677,530,614,704,989,398,528,775,268,
053,567,512,940,567,358,095,124,362,261,946,728,132,277,762,759,785,884,733,
407,571,217,914,732,197,919,797,783,501,524,122,479,056,283,538,101,244,853,
912,723,622,577,114,516,175,031,298,857,256,915,030,966,801,531,292,377,431,
143,973,857,221,653,001,409,133,834,256,373,784,487,048,554,047,723,254,866,
794,766,360,731,468,822,099,912,319,760,383,447,386,006,353,162,845,777,938,
198,677,236,339,275,170,777,282,504,429,404,112,484,877,834,943,060,615,693,
821,806,939,409,745,773,685,578,354,929,608,487,737,018,180,297,701,333,019,
471,298,964,021,207,441,499,810,736,080,365,890,478,163,023,304,732,065,414,
611,772,094,838,960,471,779,015,753,964,553,184,988,427,508,941,708,438,025,
060,164,147,151,284,333,793,601,295,535,360,172,284,850,164,703,302,641,323,
238,840,726,583,887,553,092,707,360,772,612,904,416,363,282,178,358,799,548,
395,956,854,776,324,583,724,680,508,929,123,031,648,642,832,357,504,165,883,
031,290,772,810,055,437,905,336,191,507,010,308,836,942,018,571,449,178,657,
183,643,509,363,853,306,941,153,641,367,971,713,726,015,889,100,471,131,938,
817,888,216,100,679,315,687,491,764,537,786,300,476,446,436,132,813,461,544,
609,241,493,478,274,515,541,151,215,015,847,021,588,976,130,427,616,081,925,
998,480,253,994,914,203,578,191,404,543,764,217,816,966,149,915,241,169,699,
116,631,091,030,025,187,844,233,021,794,007,630,129,859,588,731,033,687,509,
803,913,834,476,020,707,788,617,409,844,340,287,348,430,485,715,522,722,299,
564,580,874,460,112,019,429,735,735,552,731,735,066,082,457,982,211,543,097,
323,097,356,866,855,736,999,330,231,571,280,555,299,797,815,437,639,010,079,
171,810,972,440,332,491,486,854,166,407,492,376,732,388,670,169,811,303,503,
006,799,919,220,500,145,902,903,296,140,688,879,014,447,580,081,677,959,550,
954,500,598,967,553,054,646,959,255,399,301,415,983,284,432,404,820,240,921,
236,039,972,300,444,118,304,840,483,242,190,986,346,500,306,361,104,848,939,
564,067,547,447,227,739,666,587,791,971,949,660,917,006,074,250,054,239,096,
370,694,388,093,986,666,874,707,569,423,011,008,375,985,538,954,305,646,583,
557,924,723,878,652,259,311,130,834,647,639,035,191,723,057,421,551,037,272,
360,767,873,755,758,967,070,440,450,109,349,760,366,763,992,040,662,548,147,
842,606,428,105,389,173,059,602,283,395,286,922,532,471,764,230,364,170,385,
758,326,000,041,804,888,002,327,765,198,222,451,235,475,084,295,681,064,294,
156,793,508,371,284,267,193,971,009,358,161,288,349,460,909,277,489,521,502,
924,164,627,530,337,223,748,277,796,768,471,664,431,578,029,469,308,105,658,
361,851,664,345,673,338,528,937,431,582,907,843,474,238,611,491,066,296,958,
575,107,652,781,671,191,679,155,805,653,563,291,007,175,817,695,460,683,495,
568,226,154,781,329,122,149,593,021,857,445,236,451,421,246,055,753,143,206,
570,423,228,288,138,925,165,081,652,268,569,941,932,804,570,915,168,158,753,
959,473,353,332,493,620,051,809,346,287,504,351,818,217,598,011,237,162,611,
163,585,990,285,608,454,396,341,432,544,022,469,543,071,547,305,282,785,729,
351,261,647,290,110,421,738,138,709,946,804,140,475,563,686,477,526,105,103,
871,113,401,486,061,242,892,441,141,369,169,149,527,276,973,070,985,063,597,
055,728,959,667,572,462,063,648,278,211,393,892,251,080,346,148,142,400,207,
383,720,911,993,886,118,624,986,654,515,833,185,523,626,035,011,740,010,289,
592,238,536,208,783,886,723,889,380,318,239,026,637,045,730,110,285,352,000,
772,844,370,217,246,490,613,705,581,947,546,340,843,126,611,370,423,435,514,
311,617,623,970,630,213,768,290,374,999,408,954,536,495,113,478,177,945,970,
133,823,744,926,635,630,611,210,427,954,225,807,980,891,502,075,557,452,918,
007,139,984,804,104,531,528,944,022,328,709,969,343,522,262,572,082,009,068,
177,036,846,308,691,249,939,930,123,590,103,606,526,190,562,074,270,976,827,
327,534,254,053,208,119,043,046,516,318,376,537,819,123,958,311,133,129,295,
592,299,019,247,928,928,199,962,772,997,891,201,769,590,046,313,474,585,183,
309,248,187,958,202,085,650,828,527,410,287,631,522,862,708,620,178,003,948,
746,281,629,363,167,173,833,712,918,667,386,523,563,640,325,384,849,991,204,
655,229,252,264,011,723,308,437,575,648,218,183,892,280,307,219,057,224,181,
517,290,559,567,972,294,794,216,285,090,431,422,930,544,905,849,123,780,822,
577,949,352,569,743,685,656,292,031,958,956,863,294,556,879,991,179,151,723,
319,562,060,681,630,972,346,519,282,692,593,968,613,517,235,468,185,352,638,
252,877,950,601,642,176,858,359,262,575,192,177,539,339,034,456,480,299,395,
784,252,433,178,053,296,032,531,935,608,769,502,004,303,439,114,145,416,932,
931,291,482,488,191,792,965,214,586,370,492,633,914,598,484,305,478,472,286,
334,124,465,458,505,486,724,466,550,293,530,058,698,423,505,053,470,680,499,
694,624,126,780,939,045,225,648,138,819,444,331,713,861,345,872,488,189,316,
617,506,388,360,510,973,135,919,781,744,429,890,151,195,584,783,103,760,838,
818,528,418,406,093,633,785,751,932,210,745,242,901,836,801,260,569,564,497,
753,241,377,522,732,064,281,575,789,147,482,832,990,286,107,786,553,504,363,
335,281,743,631,302,349,021,843,761,700,692,245,461,936,248,766,921,462,111,
737,635,563,527,040,714,031,908,289,638,422,469,361,108,667,610,880,590,019,
319,580,506,514,092,558,754,338,077,875,340,540,572,296,863,263,164,357,184,
867,781,486,016,485,948,398,702,882,297,160,075,808,950,051,396,480,794,848,
930,735,893,110,934,352,688,716,003,866,072,789,158,575,874,560,995,441,972,
205,023,466,680,696,372,265,411,889,114,102,413,640,871,376,083,363,103,187,
090,863,537,120,246,899,679,700,860,907,644,535,798,973,767,529,647,854,599,
862,377,675,466,178,195,297,018,797,504,588,100,560,691,214,891,233,557,020,
518,801,320,094,534,298,639,022,830,428,907,061,500,747,835,139,787,402,611,
224,932,684,744,205,879,982,043,163,805,508,437,407,253,497,866,042,981,263,
752,946,591,923,628,289,190,450,834,893,982,121,624,887,210,916,148,635,057,
314,992,325,861,674,501,246,231,824,162,882,234,146,142,018,226,132,125,465,
013,194,725,821,729,546,097,055,075,116,904,496,506,365,939,007,503,907,323,
306,999,569,608,138,967,788,954,664,523,393,219,312,630,986,140,356,577,846,
216,751,664,530,350,789,797,916,778,880,222,537,586,632,598,910,607,171,298,
935,389,058,709,458,953,402,745,787,388,251,815,549,173,635,478,505,336,707,
290,316,304,921,770,363,833,860,632,946,129,442,536,344,695,940,970,547,700,
939,254,614,533,778,823,461,197,175,147,760,377,641,103,919,017,579,688,159,
584,479,717,058,513,550,388,648,891,790,349,353,096,963,216,980,718,474,123,
052,328,167,647,874,068,690,585,445,463,568,672,623,001,361,775,061,274,488,
673,933,263,555,207,513,717,137,761,990,292,072,998,532,084,361,440,228,411,
550,803,924,845,158,856,417,910,660,890,110,459,536,112,914,307,440,156,971,
316,294,565,138,278,384,593,239,499,603,563,390,783,613,909,746,186,042,092,
510,919,744,651,347,465,972,942,539,080,233,748,035,959,188,295,829,781,360,
733,359,005,404,893,342,743,538,697,709,355,495,875,641,663,329,952,065,012,
853,400,192,144,923,661,945,483,489,809,163,117,525,803,557,208,085,185,696,
761,253,219,552,961,587,696,788,859,832,147,444,904,668,836,315,713,549,975,
884,386,154,836,302,204,721,131,950,174,468,597,172,180,230,858,259,444,093,
969,128,589,610,362,641,979,021,696,151,104,505,110,137,979,316,131,418,911,
830,257,284,154,768,545,081,509,453,238,739,790,763,036,536,611,362,968,112,
460,552,038,120,157,041,241,081,050,198,709,224,912,347,786,619,106,504,296,
842,204,473,702,178,802,182,008,089,452,729,605,908,156,296,962,241,936,086,
869,310,119,298,217,027,906,745,309,357,184,010,830,417,929,218,508,449,468,
502,031,123,074,489,110,013,033,954,360,425,472,034,287,043,900,925,873,907,
645,495,941,823,609,976,838,710,178,217,219,764,002,910,622,837,077,107,762,
034,872,159,266,637,056,592,465,967,229,229,056,879,877,730,337,494,405,939,
113,833,902,845,767,551,109,572,197,617,705,961,681,303,364,092,774,141,078,
372,546,453,324,251,241,672,337,060,506,460,612,648,577,773,701,317,595,996,
679,727,569,779,468,610,266,031,014,355,323,364,580,770,825,298,522,141,581,
744,328,067,756,824,547,423,101,183,674,389,385,092,643,731,908,301,830,438,
989,685,639,321,018,836,062,727,533,410,843,739,033,807,728,453,853,770,972,
405,925,503,685,405,682,702,772,086,230,178,715,618,319,995,293,206,194,759,
717,565,039,589,286,465,454,572,773,430,617,761,047,758,614,610,723,725,137,
208,207,245,010,613,783,369,015,759,821,749,906,073,819,475,722,610,013,331,
323,381,701,624,551,058,332,979,225,239,987,279,786,369,019,328,695,202,301,
498,504,183,497,445,953,717,001,058,021,876,393,627,032,168,568,590,797,114,
547,580,707,511,613,297,696,099,194,295,975,094,067,026,463,257,684,313,364,
171,779,873,491,473,619,304,868,084,148,430,335,470,836,654,159,141,751,332,
125,161,601,806,975,943,230,974,083,097,047,838,370,432,841,639,200,484,870,
563,551,794,652,885,004,015,382,782,785,726,644,154,601,223,847,936,902,700,
809,344,664,309,073,366,205,244,905,330,317,588,876,224,430,930,432,462,853,
501,787,422,600,875,893,877,656,955,357,278,724,611,213,698,502,312,674,401,
981,950,181,191,404,496,531,181,099,676,595,354,478,439,957,957,004,273,701,
065,226,868,945,429,826,941,417,710,031,235,011,652,318,109,165,036,153,884,
743,090,856,960,817,637,162,420,893,801,176,480,216,914,483,165,203,266,642,
998,030,504,576,640,386,798,436,975,023,369,709,834,965,093,419,300,724,973,
473,274,195,578,671,145,781,547,916,503,861,462,692,245,523,190,287,877,193,
988,977,820,846,599,575,724,483,162,425,076,930,948,376,950,063,805,788,279,
084,422,173,320,735,833,149,860,999,442,074,430,500,647,067,768,975,226,094,
713,382,300,917,122,454,842,255,353,648,543,714,072,993,492,546,398,194,941,
917,855,020,723,624,316,088,495,305,363,935,301,090,943,837,478,640,772,242,
186,640,702,608,378,284,452,471,136,297,871,740,069,441,493,943,544,936,206,
195,730,085,661,846,154,147,996,558,358,252,362,635,473,459,267,459,835,222,
197,048,780,473,770,069,077,848,970,349,553,728,422,167,282,227,035,353,989,
657,316,056,270,876,183,295,816,532,235,672,025,252,912,657,421,912,893,999,
391,220,887,581,096,882,452,297,218,605,034,055,671,641,407,372,808,049,841,
410,524,881,459,465,832,505,564,644,176,414,041,545,826,306,274,185,427,390,
584,726,321,899,506,466,293,710,513,168,541,179,456,001,576,891,781,646,974,
611,898,756,785,366,717,802,315,455,894,267,018,858,546,789,789,784,258,816,
017,862,833,361,647,747,960,365,673,288,663,999,498,888,048,017,544,074,372,
900,794,420,546,412,379,990,673,847,085,092,699,234,606,394,852,434,075,322,
865,438,428,810,102,880,188,645,813,804,030,127,848,841,883,932,198,024,043,
223,430,813,585,589,496,615,891,716,548,797,933,110,175,705,398,435,717,955,
186,417,014,043,568,832,382,073,883,561,044,973,895,761,583,532,814,691,358,
301,654,537,571,185,470,704,581,294,019,581,200,606,721,295,599,876,175,668,
860,338,379,889,181,027,721,797,988,756,670,826,796,295,278,426,727,840,320,
026,140,031,996,411,112,518,764,506,532,691,703,283,139,609,598,778,077,089,
251,431,716,978,782,867,579,362,785,005,156,376,127,739,041,609,385,879,774,
708,311,215,281,728,419,348,337,211,755,490,886,524,349,506,723,016,535,222,
039,361,789,146,211,223,654,740,917,154,804,906,460,970,429,961,804,210,913,
865,877,586,490,114,824,164,276,778,310,813,927,490,044,300,050,190,809,347,
792,915,015,354,249,386,637,116,244,269,678,698,737,311,844,528,866,880,864,
271,641,834,643,663,143,210,947,733,809,387,702,390,649,357,441,987,971,178,
592,480,129,691,541,650,299,207,688,070,554,996,697,760,751,260,006,898,214,
093,762,639,186,688,790,218,444,578,752,633,419,534,808,466,247,373,123,431,
975,622,861,787,535,633,748,860,925,865,718,227,965,658,581,346,263,297,849,
841,462,201,521,369,274,038,049,759,050,228,244,906,370,540,190,971,625,644,
958,180,364,365,879,786,113,935,477,386,512,277,666,123,048,454,339,948,563,
321,235,576,377,591,217,389,814,026,886,681,662,901,061,644,820,200,869,738,
372,356,978,688,589,380,948,186,588,583,019,952,770,940,014,399,962,940,859,
703,102,484,472,372,159,801,023,751,220,611,107,433,209,142,014,876,732,182,
369,094,308,324,115,017,236,519,093,543,373,342,701,654,094,093,457,202,489,
922,261,865,786,730,998,711,116,667,642,081,936,199,187,888,942,273,909,412,
487,074,230,192,642,693,103,318,406,524,180,026,531,793,412,979,287,469,474,
337,767,831,049,360,586,061,099,496,733,723,802,473,611,296,522,919,023,596,
279,733,123,311,369,195,795,954,213,713,260,519,876,139,395,855,993,497,906,
676,063,306,658,828,590,201,894,667,891,692,358,577,864,512,362,184,160,569,
403,097,748,132,231,287,199,558,925,117,258,211,358,393,305,693,149,349,930,
159,718,605,229,147,599,195,856,351,122,083,645,038,365,019,073,656,366,596,
761,663,785,510,801,795,753,869,593,179,065,040,392,229,925,550,950,546,512,
288,026,334,145,907,712,575,479,949,768,335,821,587,201,337,614,212,806,759,
039,653,116,606,212,498,480,190,040,576,179,670,000,871,200,909,207,904,995,
638,446,038,385,604,330,865,950,030,824,286,416,529,952,844,730,540,607,350,
563,924,942,244,854,029,435,515,077,964,536,994,923,793,797,739,225,988,931,
502,545,729,809,433,322,385,389,638,153,791,751,904,761,860,498,646,460,221,
127,880,356,033,528,506,329,500,083,168,919,045,289,893,088,685,400,952,893,
170,060,469,258,923,439,422,203,750,420,066,880,074,959,616,950,736,788,041,
471,632,832,440,192,519,896,516,354,697,281,038,735,207,387,677,720,220,042,
711,984,765,144,444,884,881,231,805,107,749,570,914,231,165,185,982,072,467,
819,012,282,141,495,588,085,265,195,660,250,854,387,783,283,905,652,630,643,
739,898,250,287,200,046,037,918,081,093,425,261,876,713,282,053,796,761,935,
401,525,419,560,999,306,430,416,932,820,474,279,060,543,788,908,238,263,252,
302,015,161,822,223,073,950,377,481,114,229,637,682,509,012,183,025,924,544,
692,377,006,306,596,517,774,502,303,745,157,632,069,262,480,087,796,130,414,
509,868,849,552,413,477,149,719,100,381,181,198,241,855,649,454,831,493,407,
888,553,853,652,870,309,002,894,409,876,520,888,944,948,749,000,143,200,621,
766,052,906,694,075,428,583,475,640,093,635,385,114,215,893,397,862,868,261,
830,496,953,962,730,338,517,746,307,680,258,350,872,684,077,218,757,485,124,
364,768,749,805,026,194,863,631,459,561,036,541,073,064,600,726,677,021,747,
013,159,852,225,679,201,583,473,808,744,594,551,782,738,851,858,527,204,061,
048,783,832,684,866,006,257,756,805,880,825,224,302,312,647,521,528,084,153,
538,226,722,339,880,075,907,899,505,961,352,438,346,691,502,716,789,548,234,
171,794,969,697,633,970,232,970,814,375,862,418,281,986,852,635,028,039,004,
240,534,813,215,768,336,668,300,881,716,178,150,208,277,513,324,382,273,995,
449,675,700,685,435,475,746,166,476,159,675,846,206,003,243,919,650,113,213,
398,658,761,072,650,741,385,780,345,853,752,258,201,744,303,738,054,675,792,
753,799,978,797,478,034,195,499,822,191,186,644,632,983,098,000,442,534,884,
764,046,682,373,130,857,071,905,839,827,094,529,065,802,406,811,796,028,037,
029,748,758,077,199,532,762,917,199,794,373,410,346,021,116,082,201,406,315,
112,335,192,526,027,492,642,889,189,852,896,091,838,617,481,649,241,057,715,
239,571,908,064,590,678,062,080,667,083,568,949,160,851,185,606,590,103,137,
316,059,203,088,665,511,912,795,933,081,052,033,517,266,337,554,890,091,352,
507,794,130,307,364,423,745,866,750,172,892,439,390,064,282,788,814,972,823,
645,491,165,853,241,790,867,043,366,603,618,029,839,019,266,444,170,513,914,
167,601,189,857,224,865,897,842,684,340,191,468,423,826,257,198,679,040,994,
047,901,784,672,274,582,836,497,123,902,117,149,661,726,211,157,120,563,310,
827,903,862,069,398,976,000,716,279,619,180,906,103,429,105,427,741,303,966,
669,667,355,054,249,300,427,577,381,273,374,145,085,624,004,366,572,436,140,
743,716,653,009,461,505,897,524,829,051,258,822,299,234,776,270,520,476,356,
531,295,933,448,876,248,886,308,641,353,084,736,693,448,481,265,189,756,654,
991,295,288,587,539,265,436,182,598,691,871,067,481,901,845,605,218,254,717,
063,933,585,856,195,688,014,740,182,422,081,881,606,363,127,236,914,934,365,
256,257,735,433,414,112,726,397,399,044,390,615,336,417,714,989,272,276,525,
712,262,382,446,933,837,765,697,294,232,068,357,342,202,913,339,312,549,284,
714,391,076,203,810,671,746,165,550,827,240,359,291,008,989,842,064,221,949,
364,718,807,706,204,556,210,411,812,105,427,267,589,303,864,371,091,204,352,
968,639,419,567,512,885,689,991,329,414,793,083,664,405,560,406,955,103,410,
615,789,765,891,643,363,285,259,754,659,873,254,603,875,974,416,089,357,764,
395,213,436,966,260,974,090,752,451,049,331,014,426,805,989,025,755,490,583,
164,094,211,039,248,981,635,577,294,889,992,603,230,534,698,341,277,503,159,
617,153,322,554,611,551,157,587,594,646,120,919,775,114,841,540,522,285,997,
871,163,086,507,169,646,561,464,052,525,020,706,035,776,094,687,526,844,910,
611,130,019,000,244,577,307,550,128,440,830,097,048,505,127,327,783,717,764,
971,086,159,777,452,725,245,857,172,923,275,406,477,701,120,255,550,876,078,
183,833,006,534,732,035,659,603,477,615,926,585,151,954,479,400,214,698,642,
887,785,062,900,303,799,329,153,198,113,396,552,639,424,205,876,086,342,230,
887,365,146,223,007,537,574,292,438,008,323,224,801,566,903,488,288,478,052,
520,852,696,981,719,215,732,632,358,942,390,165,145,710,104,714,430,633,098,
558,864,230,328,465,425,262,944,926,608,572,172,774,648,611,599,988,417,586,
901,029,526,045,306,808,219,805,621,140,360,582,311,452,898,387,179,083,784,
742,012,881,226,509,535,418,624,200,460,681,647,220,833,107,935,106,928,932,
802,354,937,973,900,944,980,168,148,424,577,532,810,005,395,410,414,135,084,
625,447,286,363,106,079,175,662,618,479,331,469,810,506,704,387,014,593,203,
357,163,394,199,977,733,665,492,177,891,910,699,568,953,944,558,219,154,363,
288,164,785,862,833,088,941,792,706,881,856,989,651,288,858,189,528,729,482,
987,608,226,153,026,160,336,507,753,626,483,497,404,168,176,672,018,160,128,
431,012,311,266,697,018,700,928,407,871,058,772,501,464,414,837,339,805,542,
998,110,122,641,594,843,437,064,503,138,190,518,995,142,582,375,806,496,478,
937,108,520,383,166,762,709,150,134,825,253,691,662,630,633,397,482,644,228,
540,359,935,199,351,949,395,426,661,342,839,106,009,804,282,271,824,082,679,
064,925,141,827,285,251,533,705,677,842,757,643,878,633,004,406,502,064,228,
171,724,204,938,023,631,978,692,136,250,460,136,976,500,580,430,538,160,153,
773,679,835,691,709,426,501,091,412,679,310,036,751,165,463,920,401,157,183,
373,816,740,138,447,083,037,415,137,928,445,437,378,286,938,550,273,506,184,
770,499,652,076,455,283,396,901,326,502,026,260,509,067,549,011,256,491,295,
984,988,778,116,323,295,429,760,008,866,741,447,215,016,144,778,906,796,641,
235,377,057,932,746,399,149,015,526,616,972,361,024,142,113,522,796,429,742,
790,690,511,166,148,768,624,863,699,182,116,032,712,262,982,404,508,281,967,
536,347,114,434,130,818,025,494,954,516,259,740,484,346,337,767,042,033,557,
861,886,848,396,876,217,384,906,789,491,220,528,295,328,106,026,432,961,639,
858,854,120,230,155,870,477,302,799,723,615,083,481,431,740,315,829,427,782,
451,373,613,452,496,992,991,651,774,135,566,152,750,389,043,993,358,804,546,
941,436,084,072,995,985,844,267,726,712,486,285,852,067,358,186,586,437,356,
054,521,989,656,993,068,728,370,029,860,078,504,559,681,970,648,786,043,858,
061,292,268,528,958,835,222,162,863,866,306,336,614,832,738,147,845,865,918,
052,163,506,423,016,277,998,553,841,983,296,157,329,704,616,538,588,049,062,
987,633,714,515,593,615,795,473,081,711,751,903,833,875,402,116,147,100,268,
634,637,649,215,240,686,330,690,920,221,813,667,808,399,250,176,389,712,873,
385,982,630,799,341,692,993,177,520,367,162,112,616,641,314,219,897,521,912,
907,429,999,121,434,660,882,876,091,623,190,545,736,913,422,268,664,179,371,
963,758,786,747,853,133,204,201,543,517,266,285,662,942,729,077,965,432,211,
491,720,105,492,835,289,774,652,872,825,616,419,341,394,516,344,275,478,726,
915,815,742,414,868,338,153,153,093,453,719,109,991,630,760,215,970,379,380,
749,257,088,999,107,177,736,223,091,540,912,262,520,954,742,515,978,418,257,
159,012,857,751,468,632,624,842,244,794,108,258,336,718,290,484,877,709,418,
156,915,558,611,075,629,381,738,265,158,919,237,917,303,192,958,162,437,536,
125,476,681,172,071,166,063,028,306,939,898,240,841,530,429,940,129,819,926,
063,963,414,050,055,236,357,456,469,827,426,742,539,032,546,889,791,409,914,
942,029,228,490,577,523,570,273,182,924,548,242,368,404,416,660,250,069,002,
155,727,804,109,057,351,297,180,567,010,463,380,620,533,876,401,796,584,736,
013,096,579,663,136,998,272,301,403,790,192,621,872,828,840,925,596,230,254,
861,941,177,821,844,782,218,625,936,503,525,103,101,723,663,369,749,430,188,
305,974,163,692,715,673,989,745,684,945,258,264,146,174,769,156,036,225,389,
144,054,167,328,480,981,210,686,095,154,063,665,084,313,448,411,908,874,554,
630,711,365,761,664,334,519,937,879,921,701,007,513,189,095,710,410,713,355,
639,631,075,347,671,163,413,881,415,937,921,822,105,858,410,469,966,874,557,
935,946,555,351,864,813,751,847,540,152,656,106,972,615,829,713,782,978,407,
185,981,888,590,012,414,013,487,504,140,092,626,212,638,417,266,021,884,614,
174,246,971,878,111,422,659,539,096,457,443,258,177,373,841,958,607,097,826,
150,310,321,794,776,264,702,138,869,911,422,994,966,279,859,194,507,877,881,
040,032,480,555,778,846,951,009,175,405,671,987,299,186,814,141,215,759,795,
950,545,987,396,116,991,212,941,722,942,432,195,262,176,642,428,122,457,292,
556,822,345,248,766,087,201,443,173,460,106,751,668,081,464,102,594,302,798,
365,328,116,167,367,974,521,354,643,697,172,226,522,662,968,229,546,710,979,
068,704,413,275,302,707,711,295,048,954,630,410,511,523,430,057,123,367,441,
775,260,272,559,241,840,702,572,649,492,684,667,332,936,766,893,355,890,188,
803,099,295,929,728,623,990,869,145,217,003,019,779,625,170,940,788,715,853,
524,535,374,194,864,520,135,610,143,321,692,171,850,204,789,231,091,237,624,
202,356,600,993,418,672,513,770,627,422,510,606,933,340,983,957,754,677,931,
733,915,969,254,899,831,849,172,370,740,077,450,752,684,800,749,225,191,237,
581,660,022,943,822,799,398,876,287,423,359,155,150,409,966,389,970,771,230,
213,475,785,942,823,388,554,664,035,046,311,182,683,989,620,375,652,104,604,
885,437,980,624,361,343,540,346,102,472,950,971,884,813,890,258,442,343,934,
445,862,626,511,375,163,774,171,255,864,909,053,576,268,860,148,016,025,244,
533,973,856,733,076,293,448,724,830,204,451,562,077,841,157,185,663,618,023,
784,991,021,965,442,345,123,346,296,908,952,978,206,034,055,392,194,892,455,
138,001,196,516,859,902,770,309,247,189,675,856,454,246,224,296,695,611,816,
600,534,736,704,287,454,390,236,834,340,937,738,830,755,289,036,997,688,560,
515,091,535,581,106,704,117,227,593,602,496,601,975,768,771,066,337,320,833,
969,611,343,518,819,572,791,634,379,668,763,118,661,495,010,062,971,987,955,
018,119,393,190,833,187,542,760,282,188,693,035,719,595,851,846,516,343,331,
684,100,199,462,991,728,847,172,337,737,374,476,125,501,755,924,164,353,263,
870,496,168,651,733,807,766,531,195,628,794,372,249,279,237,409,729,295,781,
590,538,062,770,635,299,462,288,875,287,147,434,011,992,911,198,885,579,337,
569,772,011,614,374,443,411,888,048,540,074,470,070,748,830,584,341,587,452,
355,835,886,037,639,806,394,416,004,541,850,359,770,186,930,219,614,879,846,
245,612,574,445,007,108,647,196,209,549,302,621,097,494,990,119,260,408,867,
599,732,844,231,495,431,461,763,367,406,055,981,169,968,880,154,730,750,298,
167,676,868,024,943,206,230,365,608,056,860,939,799,688,411,724,429,842,736,
719,419,970,313,222,968,279,840,861,646,384,160,111,594,036,425,258,291,296,
954,580,228,549,968,954,437,389,213,393,607,790,051,616,602,075,213,634,832,
602,511,141,188,160,430,169,855,383,504,876,109,883,180,096,034,381,743,998,
736,366,747,125,384,110,241,285,849,849,137,692,154,953,136,579,097,481,342,
776,409,783,980,275,518,515,670,120,149,392,898,448,258,864,830,280,593,154,
647,158,012,825,468,901,011,742,353,228,469,187,956,566,187,700,654,315,847,
640,385,016,468,083,355,238,841,032,288,063,483,899,497,704,054,996,208,365,
337,903,819,382,289,878,925,169,835,786,083,029,928,045,707,992,638,606,097,
126,963,190,901,641,095,366,905,580,359,692,368,714,712,786,734,086,672,757,
106,851,808,986,089,120,404,007,205,965,723,265,507,976,731,511,317,046,781,
905,257,315,174,504,277,597,456,232,425,688,734,408,149,172,643,738,657,543,
627,254,436,422,397,286,377,245,529,128,896,578,367,414,778,776,097,960,523,
911,130,884,496,200,356,766,742,880,876,599,824,504,022,686,752,332,097,381,
293,587,757,005,241,107,197,051,412,643,327,609,324,541,453,858,177,553,915,
934,253,319,497,077,660,513,616,642,522,470,224,629,248,031,859,972,221,174,
006,005,609,084,484,113,677,009,934,201,493,227,860,107,384,130,395,862,356,
497,001,212,469,514,397,209,618,073,559,385,515,195,669,504,131,859,763,871,
967,107,328,871,873,128,463,335,341,626,967,239,962,491,093,086,177,519,104,
464,572,023,118,163,706,618,710,210,826,799,844,251,850,277,060,443,051,991,
675,139,494,702,951,661,735,579,994,710,190,469,998,650,214,918,262,004,112,
316,943,144,824,604,770,709,157,530,261,640,052,321,662,281,723,170,878,633,
093,669,083,836,934,192,581,488,094,407,980,358,210,490,530,408,552,219,713,
626,727,830,449,656,835,338,660,069,509,428,930,874,305,313,795,703,643,954,
150,723,931,405,703,784,456,025,913,300,840,457,997,914,782,296,730,736,968,
506,865,822,003,277,090,688,913,071,679,242,093,770,357,788,476,545,242,458,
502,131,422,459,932,915,818,607,541,355,438,354,792,857,674,949,186,035,763,
625,797,439,325,958,055,024,042,540,091,009,956,797,451,953,560,827,529,833,
660,783,336,198,805,241,837,724,497,470,942,488,950,504,014,190,825,758,238,
318,383,368,866,069,545,557,574,171,907,963,260,777,488,411,903,578,564,544,
661,908,049,865,162,873,635,704,493,782,495,316,685,361,803,244,730,177,543,
755,317,994,866,336,873,483,748,550,649,025,994,735,215,822,433,896,599,765,
646,824,116,551,019,769,649,915,745,854,408,611,889,858,134,772,936,704,754,
649,717,674,366,605,227,588,665,277,762,680,344,423,542,311,103,960,626,002,
541,690,245,515,612,189,022,483,274,036,711,433,522,557,758,957,973,536,091,
537,420,263,986,163,284,524,935,440,116,545,255,503,461,851,858,164,381,627,
980,848,313,261,088,788,796,537,892,782,775,743,904,686,634,980,827,479,239,
878,245,320,441,652,317,833,066,775,869,581,482,406,514,481,804,962,180,757,
923,683,108,778,341,140,108,776,403,120,305,383,287,213,790,269,207,142,444,
065,959,313,538,376,839,657,008,128,718,583,451,119,432,523,628,953,934,007,
853,203,619,063,052,344,303,554,374,840,549,234,384,510,517,788,721,853,268,
760,255,395,633,190,768,891,089,821,827,364,375,167,937,632,814,023,499,839,
647,516,616,799,804,015,789,977,766,393,823,038,355,476,255,575,772,189,924,
225,068,123,826,130,048,267,935,873,630,335,044,383,308,866,176,029,180,332,
584,479,295,558,601,416,451,394,793,386,136,818,449,424,885,113,311,847,524,
735,097,052,235,370,282,285,889,733,067,307,712,923,785,099,511,387,978,057,
313,002,057,096,417,954,065,720,473,185,674,917,701,155,382,054,253,759,854,
460,331,608,472,976,864,571,670,259,014,213,388,953,013,756,389,988,295,841,
565,864,500,822,516,148,620,385,199,278,050,240,643,045,622,874,119,283,201,
240,438,957,077,011,532,360,966,015,680,768,567,325,000,936,842,105,592,717,
677,965,938,835,529,508,648,151,393,574,632,060,046,601,885,415,008,573,131,
338,139,574,598,711,279,906,462,793,885,371,681,099,390,675,158,134,870,603,
864,261,194,670,670,917,147,990,629,916,876,100,683,533,743,519,938,479,774,
064,104,187,422,978,866,810,844,558,085,968,215,179,417,079,219,258,311,398,
292,635,481,083,256,281,488,525,085,953,913,546,001,234,452,847,283,471,649,
831,847,026,806,730,922,616,842,418,457,742,314,867,264,147,966,335,716,135,
763,344,055,990,115,525,097,741,778,267,075,896,117,440,180,266,147,824,280,
111,994,865,682,596,736,227,124,811,974,918,107,409,698,268,194,834,143,509,
975,474,090,277,061,913,391,740,078,711,860,861,403,279,118,120,706,107,960,
917,127,333,772,883,921,059,237,270,264,445,358,188,978,758,594,424,607,655,
414,705,599,932,398,706,692,634,946,727,058,772,762,082,800,952,574,057,386,
476,329,713,058,097,071,371,927,931,541,236,585,887,043,604,361,724,932,250,
580,273,885,718,889,871,658,755,026,072,944,047,539,866,542,140,755,548,525,
140,009,450,165,326,255,113,114,268,106,365,276,766,058,372,800,564,689,155,
079,464,594,367,134,552,575,507,345,517,577,197,594,510,540,968,123,434,030,
054,508,663,223,681,805,582,146,665,494,390,448,293,931,489,958,968,432,095,
114,390,274,481,112,439,537,207,758,088,786,712,432,584,844,751,208,566,880,
139,974,242,100,428,632,428,134,802,742,993,299,599,644,221,984,553,624,567,
716,103,202,380,174,230,294,085,490,847,459,433,173,976,079,968,525,860,476,
459,926,095,684,781,629,701,686,199,420,737,564,299,625,813,772,199,963,049,
749,865,137,450,039,623,084,767,485,159,368,751,123,117,166,035,587,863,233,
448,427,754,960,108,966,732,157,371,114,609,063,824,828,226,713,142,963,532,
027,796,490,409,288,012,462,135,233,502,213,034,776,208,622,953,740,070,287,
744,324,722,638,559,912,715,500,917,462,342,683,239,510,328,602,427,360,961,
518,310,450,237,785,560,086,123,389,594,871,732,221,193,956,272,283,050,266,
424,974,434,431,552,607,316,296,827,271,422,875,438,202,279,719,555,219,113,
081,319,753,814,797,262,575,643,776,164,105,664,526,714,475,690,283,675,944,
281,487,598,225,537,979,871,265,719,875,360,341,960,505,237,503,476,956,149,
743,097,637,914,691,461,413,983,352,938,685,745,151,684,360,625,102,153,866,
609,989,249,537,888,367,835,163,665,443,762,277,612,267,883,270,896,905,754,
609,347,395,153,407,046,974,650,731,294,781,934,140,538,844,353,999,928,783,
051,758,803,432,754,802,085,221,260,036,034,802,870,993,750,106,099,471,276,
079,386,593,237,406,739,716,939,359,041,156,953,430,032,621,272,633,697,925,
767,752,316,975,743,224,523,962,621,147,516,298,228,842,454,093,842,198,855,
743,448,412,707,606,552,228,828,331,255,570,675,269,584,675,403,795,254,268,
560,106,738,181,077,120,148,429,689,275,778,294,655,194,491,318,624,596,549,
934,644,194,754,107,143,112,502,319,892,146,761,912,073,636,961,371,472,549,
342,029,016,242,363,365,157,156,062,298,911,165,180,075,322,418,557,205,946,
556,925,761,966,844,111,225,981,417,251,273,480,265,970,548,660,133,517,151,
210,605,750,450,541,286,573,344,846,050,247,395,596,933,886,948,971,196,655,
280,967,002,548,948,838,720,748,464,135,547,715,746,650,512,916,035,638,842,
861,610,990,914,673,955,721,119,598,313,371,282,501,731,929,947,567,999,453,
200,959,345,395,881,157,139,388,188,019,426,709,168,979,385,240,484,558,285,
202,684,435,589,226,982,000,355,504,977,964,784,411,690,283,952,881,674,250,
737,664,569,271,970,571,155,218,513,090,775,726,900,906,627,975,921,943,062,
871,106,361,121,417,903,311,340,992,211,924,838,506,342,870,278,006,628,925,
735,418,233,486,796,032,786,933,767,146,639,349,110,927,645,102,676,278,172,
093,143,886,441,921,638,264,699,163,009,091,351,613,659,943,058,444,288,611,
805,328,327,375,891,534,183,461,806,084,956,533,167,070,129,969,782,673,992,
877,548,899,426,989,603,151,135,690,494,902,654,805,359,666,538,255,044,586,
489,011,716,163,984,029,176,278,135,575,497,440,295,740,318,254,637,099,271,
761,874,088,916,341,878,652,442,826,044,558,418,645,531,691,706,000,279,301,
986,500,637,307,096,589,886,526,964,736,808,814,582,736,149,058,063,026,579,
376,446,706,675,377,177,467,991,854,511,799,536,555,537,477,380,179,984,535,
583,330,591,295,600,236,659,443,375,052,300,910,786,701,169,257,053,898,287,
272,500,601,498,291,051,773,236,878,831,612,106,636,486,436,766,289,253,870,
270,402,258,960,842,773,004,808,457,163,813,825,527,315,559,007,754,330,974,
539,545,756,780,027,822,551,822,343,680,484,554,458,841,087,984,379,195,287,
304,532,992,886,888,273,057,211,280,197,531,523,099,860,074,183,646,949,763,
680,969,952,075,289,363,932,448,325,455,950,168,153,351,078,265,551,393,596,
317,287,022,816,160,672,744,875,359,865,166,712,503,170,404,790,948,819,693,
605,135,926,136,286,199,085,453,381,459,956,980,820,568,093,832,946,068,463,
451,351,596,405,019,316,306,063,969,834,475,979,560,752,193,571,646,683,529,
549,178,400,833,046,616,935,388,560,996,101,061,213,209,980,009,404,303,422,
005,288,663,452,499,974,550,066,657,330,874,158,649,886,820,734,071,705,945,
684,872,053,890,864,231,068,627,132,781,026,599,668,677,254,127,886,498,259,
466,618,137,804,347,971,451,969,002,049,052,735,376,376,289,907,226,540,960,
090,987,409,039,884,386,843,746,790,167,016,443,335,440,400,378,654,078,922,
708,317,115,448,092,220,785,225,937,815,338,043,155,513,589,168,752,515,013,
633,942,021,255,142,177,048,266,410,401,612,845,607,782,745,246,411,487,393,
446,195,597,697,960,675,588,563,877,392,550,277,155,897,537,758,186,806,313,
570,773,003,374,235,089,380,891,849,944,351,530,937,528,448,446,494,237,272,
709,142,158,603,900,619,846,534,059,522,408,726,698,516,119,011,077,579,059,
794,829,586,923,021,529,452,067,385,666,091,596,932,451,145,843,652,699,907,
464,090,470,934,019,038,300,107,853,608,867,466,640,283,167,333,419,863,413,
312,610,222,512,046,693,951,898,146,390,841,699,537,887,856,215,892,150,123,
521,140,833,132,186,414,259,597,494,985,050,805,582,387,515,253,152,971,442,
619,026,323,872,093,126,451,178,697,321,378,863,694,058,577,412,996,989,101,
748,123,756,396,735,383,947,302,120,809,121,004,606,164,800,741,395,617,752,
320,948,951,560,428,192,776,152,054,055,611,310,120,397,085,546,004,536,520,
803,045,964,162,970,719,675,314,786,313,773,105,902,996,089,823,617,485,152,
898,664,151,392,315,978,322,474,306,821,739,803,313,569,260,078,400,035,851,
874,484,142,310,061,340,239,104,255,153,886,064,478,132,126,507,962,563,724,
390,084,269,041,149,594,254,399,815,884,679,155,719,341,214,228,964,416,698,
290,574,138,617,071,638,053,033,908,081,376,275,129,603,986,095,970,572,335,
537,481,411,774,963,110,595,576,048,564,801,715,217,074,866,446,316,808,556,
026,010,971,378,243,977,594,126,232,940,318,375,652,568,092,249,601,311,268,
236,301,887,598,685,319,196,022,849,517,722,049,452,457,301,665,830,109,533,
862,618,479,604,990,408,719,899,568,701,658,102,438,248,703,638,705,545,316,
802,240,030,607,770,361,548,273,080,594,900,541,968,457,743,040,187,397,282,
743,968,308,837,905,033,166,618,392,421,241,539,762,166,688,242,602,494,427,
887,444,452,783,593,081,694,913,229,190,377,771,174,833,971,762,269,120,500,
152,929,083,874,012,320,552,475,592,185,304,080,446,497,338,700,380,080,567,
925,076,433,216,448,574,839,094,128,794,724,907,487,627,822,237,471,860,082,
854,989,122,908,014,742,974,887,559,509,692,466,007,037,272,044,659,253,321,
069,514,691,899,062,267,161,677,030,251,390,223,918,407,509,051,494,592,840,
614,856,034,612,476,609,083,681,663,351,598,864,893,870,878,162,728,756,387,
194,993,562,137,095,056,346,061,490,878,788,487,768,630,270,144,982,961,480,
998,448,839,043,858,940,991,068,686,741,342,822,792,021,367,728,781,722,548,
054,958,059,657,573,421,154,126,343,704,602,466,029,667,321,730,672,308,205,
837,095,445,806,797,374,934,529,324,144,963,035,593,576,283,284,139,701,274,
317,358,455,389,445,748,755,710,261,116,237,291,813,646,392,265,904,679,884,
027,549,426,865,935,614,680,149,147,118,163,396,757,344,601,876,915,266,581,
293,786,403,616,049,023,632,672,785,014,646,729,251,298,421,271,148,745,005,
067,496,545,714,541,268,805,687,177,782,841,040,136,458,809,804,148,988,054,
931,037,097,836,883,783,514,543,823,042,307,005,453,299,562,761,055,791,927,
142,422,001,349,255,560,976,827,000,442,512,368,878,287,709,449,016,848,010,
316,159,689,490,082,886,362,342,056,514,019,933,944,224,444,513,980,112,884,
314,138,068,782,199,824,152,658,359,630,606,214,972,075,724,953,727,688,456,
603,809,737,117,574,795,043,146,268,135,687,295,126,404,859,258,429,467,429,
668,361,194,943,766,099,614,324,280,487,346,817,206,149,853,065,387,146,000,
802,918,119,964,834,243,918,648,586,456,718,092,447,227,640,710,965,283,669,
236,162,985,811,461,004,882,366,286,893,101,291,617,509,893,828,425,493,697,
003,023,771,152,531,257,083,341,029,164,699,575,348,003,502,154,745,249,455,
963,722,853,510,849,057,534,448,172,003,441,151,438,885,502,208,965,671,029,
930,556,428,107,726,608,013,435,013,841,432,946,435,279,435,275,767,982,122,
142,236,211,952,242,264,001,878,860,004,513,848,565,946,257,365,514,123,991,
364,526,660,051,799,595,087,551,942,118,899,916,669,766,746,010,567,255,984,
010,338,325,808,470,234,153,623,333,140,811,127,829,226,634,250,469,912,581,
929,585,305,335,825,459,223,921,592,321,690,840,236,344,549,870,091,307,706,
107,452,327,200,609,315,107,999,972,487,237,474,251,646,462,772,201,698,052,
724,994,245,604,841,264,564,254,499,506,093,073,397,519,645,097,398,384,136,
682,992,684,735,748,810,720,735,454,933,554,010,899,266,903,561,105,061,769,
925,368,817,057,385,351,882,545,319,901,939,353,898,779,719,778,921,345,090,
548,364,722,406,190,599,962,662,610,483,009,428,461,090,063,544,509,163,809,
983,278,089,808,406,098,763,251,886,730,407,081,098,633,180,096,842,163,756,
579,184,037,753,781,928,343,212,300,222,089,019,346,785,005,563,595,710,133,
347,595,903,016,662,292,908,417,786,196,706,068,595,250,637,018,595,781,193,
000,035,054,654,162,120,383,402,793,231,108,053,172,964,678,973,210,861,765,
392,282,288,884,138,615,921,670,240,636,167,869,151,330,527,273,581,034,076,
428,398,357,814,235,825,552,705,111,376,888,088,078,501,323,814,069,837,774,
102,908,190,062,236,511,268,550,217,221,658,087,808,133,330,889,583,412,385,
548,159,526,862,979,849,817,622,228,106,492,938,811,232,110,327,974,036,642,
400,703,106,187,061,519,880,754,070,541,182,083,243,514,547,590,153,183,512,
147,406,779,862,057,208,569,002,638,319,007,573,468,048,179,373,521,323,986,
121,433,691,449,860,518,737,944,545,273,527,086,106,013,467,374,055,176,005,
585,825,125,147,020,321,179,758,773,196,203,930,517,282,693,228,195,338,351,
627,975,906,079,522,652,331,417,817,869,346,737,405,569,930,727,833,139,933,
785,374,276,426,713,976,134,880,429,831,692,049,739,179,369,021,713,140,381,
433,581,450,495,368,468,790,830,757,296,060,587,894,167,881,897,553,352,937,
954,175,939,285,001,894,092,058,676,383,936,547,490,972,166,224,127,866,423,
708,518,132,752,145,729,333,681,018,341,416,796,139,147,662,405,584,079,345,
534,712,708,215,496,813,765,311,254,887,245,953,634,374,229,652,677,799,146,
983,179,263,993,121,090,388,769,220,464,519,661,052,507,599,726,865,920,350,
113,733,835,755,341,749,194,179,351,954,059,661,238,040,467,445,594,582,266,
680,938,155,620,168,560,676,682,219,063,823,091,413,204,703,984,628,805,862,
657,969,775,782,197,085,767,785,816,792,985,967,246,476,791,851,264,810,060,
653,147,753,949,489,584,611,865,146,596,177,349,420,471,306,577,791,075,874,
163,448,653,772,497,071,600,135,930,463,363,175,838,796,998,062,492,563,946,
851,435,953,400,582,907,077,228,373,758,325,427,405,563,555,589,954,445,421,
147,514,842,125,178,732,867,986,387,611,478,113,334,494,056,997,171,872,616,
519,326,102,509,090,454,289,950,465,282,943,682,057,134,635,895,989,341,553,
125,807,744,333,125,589,755,011,847,726,285,767,281,872,823,227,549,975,109,
516,799,056,256,647,850,483,958,102,703,793,543,179,923,469,790,015,907,266,
063,908,598,774,575,434,652,512,695,650,137,697,644,390,556,792,754,249,278,
699,745,229,511,778,434,526,976,975,886,034,712,951,959,292,983,846,598,479,
593,797,650,581,231,707,475,952,504,513,484,091,514,280,700,463,739,204,687,
838,623,625,397,099,118,653,440,699,089,288,204,833,822,216,176,305,658,638,
969,871,269,561,857,373,245,073,477,365,070,122,839,266,037,670,465,556,716,
071,479,652,468,421,744,098,205,918,029,663,093,288,157,744,954,742,587,761,
481,756,977,673,805,969,616,248,196,437,829,592,103,990,920,031,306,612,005,
636,533,475,029,331,649,504,971,901,780,779,340,908,705,859,166,586,010,049,
866,357,806,678,969,031,572,222,681,424,782,342,749,716,558,218,389,975,253,
808,197,178,294,213,192,858,231,261,466,626,423,854,636,046,492,865,675,247,
983,133,081,341,523,528,531,816,567,200,869,495,867,256,385,739,720,013,876,
362,139,201,087,353,579,273,509,865,165,906,190,662,339,889,122,086,840,808,
181,828,686,039,391,074,930,400,218,290,613,027,945,698,814,147,866,519,781,
553,406,450,162,916,103,872,257,973,914,290,255,504,998,935,848,332,023,687,
031,794,383,362,962,996,171,787,882,463,606,650,630,075,425,328,317,989,221,
238,533,425,325,354,558,208,389,037,328,308,226,434,799,979,118,124,168,773,
729,661,517,782,606,381,099,374,264,403,757,938,052,878,900,933,190,540,436,
642,060,405,262,369,535,188,722,760,005,736,287,095,712,326,952,462,712,093,
873,993,139,766,015,165,703,941,614,704,559,345,307,403,108,614,886,985,807,
320,477,630,263,350,339,475,441,747,706,697,343,857,534,415,836,432,781,886,
780,189,698,237,416,861,013,675,813,539,849,927,857,212,160,231,866,058,081,
698,210,900,457,460,874,858,586,369,203,956,029,205,736,309,181,595,767,331,
127,460,927,219,975,414,931,958,546,526,944,065,199,814,569,578,739,914,891,
098,524,039,931,493,723,449,852,855,787,190,484,753,571,418,497,169,124,340,
995,958,965,935,244,745,959,130,909,371,246,997,676,933,426,206,430,076,514,
442,315,323,656,802,088,809,386,701,195,773,991,612,434,098,195,863,151,370,
691,633,896,476,470,723,540,731,678,388,974,211,469,851,498,991,788,500,357,
687,727,553,676,934,807,119,395,216,958,231,794,217,900,136,755,434,090,204,
246,791,981,250,648,424,333,547,670,076,870,961,062,052,708,909,638,111,812,
059,377,609,409,676,993,322,800,738,298,276,689,583,083,133,701,118,158,811,
729,766,014,309,109,631,774,046,732,523,216,521,275,659,159,437,123,611,390,
904,412,519,265,171,940,557,389,140,312,352,924,865,633,791,924,940,981,957,
472,616,482,983,529,013,827,306,098,741,047,342,062,335,390,347,395,589,719,
823,774,277,851,659,291,531,763,109,760,045,939,708,155,587,649,589,737,022,
184,577,268,139,562,569,231,899,378,041,451,010,871,998,131,028,749,733,107,
879,362,576,057,630,187,245,904,827,301,714,588,184,900,874,963,493,946,247,
549,976,053,585,698,184,526,489,975,131,205,360,405,276,343,154,319,319,234,
813,329,977,790,943,911,157,973,399,923,045,512,335,736,071,898,826,200,861,
079,015,209,334,078,594,335,733,025,946,099,745,212,174,095,522,201,327,918,
297,290,254,201,699,997,718,165,234,036,497,730,803,575,999,359,319,093,381,
821,139,691,651,090,929,074,443,355,036,054,195,608,706,681,076,226,843,596,
075,472,958,916,869,380,795,526,296,653,241,106,994,884,089,141,770,158,767,
434,396,573,599,070,771,708,914,481,407,264,494,691,250,493,128,351,470,613,
534,895,111,591,593,322,830,328,536,608,834,596,024,683,923,950,348,015,794,
681,637,677,863,360,205,612,100,570,949,881,342,704,239,123,745,576,806,366,
115,710,765,517,833,008,503,737,225,182,374,470,703,044,907,463,585,752,072,
695,082,055,251,048,198,033,542,347,392,654,621,917,111,025,603,348,702,363,
976,517,833,074,577,233,474,046,894,166,878,226,966,477,258,914,148,056,398,
858,802,804,275,311,962,234,696,094,379,327,735,250,491,281,389,153,317,909,
636,758,989,147,814,720,950,811,371,743,687,068,861,278,848,139,137,883,718,
037,222,671,639,376,006,889,410,974,830,066,426,975,641,451,028,439,726,264,
416,142,486,657,533,532,159,075,144,868,376,835,725,858,376,104,218,587,339,
265,489,584,898,086,694,241,882,259,515,251,351,110,501,962,128,763,352,782,
717,568,603,594,723,746,577,865,727,750,552,508,569,818,683,967,303,723,611,
242,906,743,629,161,947,077,126,358,523,572,786,671,708,384,397,669,851,926,
960,112,491,293,706,600,350,033,196,730,430,949,696,222,482,173,680,996,632,
004,299,532,153,390,729,923,718,451,673,126,498,513,879,998,001,654,480,453,
414,408,635,055,411,761,840,363,848,437,427,447,928,811,651,364,678,632,560,
090,708,335,772,610,357,954,838,665,719,441,501,363,861,781,380,457,008,853,
434,724,034,321,222,537,216,183,157,193,030,939,002,482,598,936,670,359,657,
182,010,217,062,221,310,816,015,514,702,661,454,869,499,847,762,008,072,929,
007,842,190,307,556,696,958,958,217,467,463,468,431,652,465,671,258,607,499,
054,742,564,434,720,159,976,373,252,846,374,958,067,951,842,211,284,323,473,
163,389,773,984,915,348,422,509,234,407,351,188,234,110,141,614,397,226,865,
060,613,104,279,100,222,694,930,053,858,802,644,907,376,112,152,074,235,463,
673,378,833,438,426,618,714,316,648,537,285,778,672,913,005,624,663,263,376,
087,854,192,078,760,573,838,873,582,514,453,848,928,918,711,468,790,302,383,
428,775,979,711,110,873,649,498,077,322,507,987,926,260,713,950,247,471,421,
223,509,186,363,721,916,232,460,851,636,457,295,459,387,987,769,705,872,275,
617,697,995,421,578,640,898,261,173,256,529,628,305,818,976,819,665,295,080,
290,343,911,447,104,840,034,715,536,760,938,965,334,741,294,572,804,964,851,
200,541,571,822,582,026,276,922,964,990,175,873,514,238,121,202,642,402,873,
862,949,290,670,248,036,418,604,062,415,333,172,847,640,109,766,906,102,790,
810,408,411,911,917,577,750,817,107,736,088,679,013,639,789,982,720,803,314,
487,448,159,577,524,792,237,361,239,190,881,308,224,731,195,572,224,400,969,
268,152,275,975,810,630,432,891,345,388,512,162,842,173,856,557,132,415,890,
552,155,423,362,267,099,624,485,827,010,514,462,372,528,776,736,768,192,441,
113,901,547,294,301,601,044,266,340,032,632,628,702,184,732,984,316,566,951,
740,535,496,594,312,041,406,051,301,706,914,129,096,116,708,923,437,254,635,
754,514,434,063,130,523,915,783,628,479,571,229,933,716,302,947,483,067,081,
337,832,315,007,631,643,968,937,024,392,666,721,903,989,599,194,678,524,517,
100,438,840,196,698,001,468,445,284,285,404,195,225,278,990,664,053,654,951,
741,349,780,695,928,580,026,709,352,915,705,146,336,460,384,876,126,261,361,
744,353,381,265,888,796,920,282,187,913,622,073,899,992,697,075,316,696,278,
189,511,062,224,454,138,602,637,627,207,460,355,802,511,737,730,138,663,617,
718,070,995,908,795,874,766,901,896,139,663,742,078,561,700,733,502,338,179,
792,067,337,610,891,520,086,622,852,802,500,380,664,380,562,305,221,285,357,
592,389,528,604,811,475,853,924,146,766,324,995,962,656,684,785,720,646,681,
273,912,516,596,950,466,537,080,909,220,399,114,598,717,810,052,479,672,319,
185,888,673,109,408,580,790,886,655,115,060,032,692,980,318,961,051,950,430,
205,599,880,083,571,140,883,861,320,562,859,529,999,670,753,684,023,540,187,
951,109,864,146,292,438,258,626,047,247,452,253,681,507,868,032,512,676,634,
489,630,429,850,743,650,048,318,149,833,262,258,326,716,598,378,114,591,575,
736,421,454,663,093,176,420,394,438,534,191,766,179,385,484,722,131,937,344,
574,840,771,989,326,184,362,818,629,673,110,036,851,606,825,471,014,061,405,
550,350,213,223,418,227,999,901,119,782,286,753,025,897,925,456,401,810,446,
993,049,397,229,063,886,182,172,457,014,443,671,813,640,710,377,557,968,589,
581,765,693,442,786,012,394,494,557,536,996,311,341,055,471,765,693,081,796,
384,122,691,368,716,998,139,589,212,464,541,748,337,426,372,873,489,315,652,
091,346,747,791,949,385,538,844,388,248,249,531,760,127,907,726,276,450,312,
471,481,565,629,543,667,159,453,620,709,069,949,522,629,221,377,714,172,262,
366,033,913,937,896,252,901,497,029,695,244,123,148,637,461,402,836,195,143,
736,332,567,963,036,001,999,744,935,563,634,941,177,858,215,232,268,360,232,
371,518,426,315,682,842,054,393,890,272,009,801,639,866,657,147,553,484,094,
300,139,184,542,406,387,107,209,099,535,239,971,386,341,621,392,822,382,207,
578,569,067,330,316,556,575,532,432,167,599,522,378,552,899,504,336,194,758,
259,870,038,517,055,722,562,234,605,997,467,706,817,697,939,645,107,630,196,
537,263,154,172,873,771,681,910,477,988,710,116,939,557,797,773,944,429,710,
090,729,778,248,926,392,975,892,088,524,325,711,607,353,732,498,955,862,234,
011,458,980,057,825,637,111,960,044,164,609,026,948,964,469,273,802,549,944,
772,761,267,648,884,796,601,067,953,458,004,579,339,185,110,607,651,533,709,
766,627,553,339,888,976,776,331,336,089,982,443,683,161,866,473,826,490,684,
548,344,989,729,272,194,537,167,290,110,574,461,685,413,195,673,213,036,593,
420,668,578,008,588,036,773,745,961,451,724,354,706,832,955,543,235,612,622,
638,386,582,692,949,713,902,298,446,333,066,524,473,250,110,716,403,227,992,
852,902,943,618,291,636,332,946,252,722,560,124,081,039,881,967,184,251,208,
078,144,544,460,493,586,233,889,115,244,891,977,740,457,442,147,665,163,252,
714,428,348,932,807,616,601,553,083,018,741,216,078,405,350,480,954,346,531,
129,532,862,194,074,587,318,640,671,864,782,970,572,169,378,437,923,382,095,
310,330,902,079,339,826,536,140,098,153,303,570,055,026,951,396,951,838,951,
859,380,137,231,256,530,482,522,614,668,924,315,309,344,252,713,383,652,905,
845,669,344,126,335,860,369,048,195,100,392,258,660,314,459,521,731,889,632,
775,984,462,000,728,176,756,687,881,922,607,676,343,421,485,495,882,736,171,
285,639,639,979,589,426,539,363,654,428,824,423,088,666,192,045,936,764,565,
199,461,711,201,917,104,602,802,738,707,665,646,189,465,573,625,140,757,930,
041,035,408,057,703,059,112,399,741,771,242,408,096,195,351,732,388,350,710,
817,722,080,532,548,032,578,696,020,921,926,447,948,466,462,274,365,217,037,
654,807,843,432,370,742,014,549,916,166,992,669,952,743,094,861,428,270,699,
363,551,436,611,518,139,724,994,301,060,206,470,951,940,523,978,981,211,594,
297,845,245,465,404,672,511,665,566,486,481,718,709,328,868,454,755,936,217,
999,232,675,373,167,909,883,720,099,808,404,794,780,383,314,612,694,729,672,
277,129,284,280,023,838,771,995,662,947,390,400,231,438,858,607,618,581,744,
502,994,507,544,524,188,066,559,222,171,339,935,176,333,987,456,537,894,216,
030,265,172,071,461,749,170,961,587,220,131,263,697,315,242,833,033,433,208,
068,712,744,822,160,064,452,387,454,215,037,471,922,981,192,537,365,128,821,
540,795,855,434,628,678,757,665,665,682,461,380,427,693,964,778,389,237,857,
542,018,854,234,900,779,133,863,009,119,669,090,128,911,861,461,890,334,740,
114,861,120,451,740,882,658,355,858,325,278,229,917,018,632,013,937,937,016,
321,242,361,817,378,060,835,021,735,117,074,023,353,330,905,398,619,542,894,
007,497,343,186,046,429,632,062,914,057,949,941,609,650,058,741,026,878,189,
197,458,539,717,251,827,266,449,290,521,018,131,690,276,918,020,837,601,945,
528,846,040,965,093,840,975,470,467,927,283,806,408,299,125,512,129,600,802,
330,110,277,641,950,323,983,192,128,710,100,286,764,271,431,186,120,789,463,
965,561,643,445,826,577,166,917,567,607,290,169,770,081,976,152,310,434,452,
556,979,075,924,710,954,373,550,219,042,830,245,809,787,945,499,571,006,066,
492,920,691,669,394,897,811,132,026,507,992,735,880,145,964,260,341,368,635,
709,624,257,983,588,299,137,502,116,699,207,988,843,385,358,264,355,710,566,
893,223,623,126,532,399,423,850,404,278,891,004,781,198,790,104,052,675,457,
962,134,149,769,046,232,937,720,784,833,368,804,808,729,414,932,154,108,129,
821,092,270,672,261,688,378,211,848,180,191,410,671,007,302,304,160,940,421,
271,034,138,701,278,275,102,403,479,308,652,311,566,478,693,797,608,913,351,
376,408,942,601,326,048,730,272,947,048,370,617,820,091,693,195,677,660,203,
536,567,286,180,957,292,873,756,991,802,173,405,509,627,539,090,784,443,026,
884,525,377,060,702,922,947,231,679,292,311,429,224,494,992,938,982,346,053,
314,177,987,205,629,517,125,118,367,560,060,187,201,304,810,606,276,270,915,
965,213,476,040,774,892,411,823,796,868,286,023,808,355,101,933,907,901,119,
008,941,727,881,802,315,268,348,128,767,568,830,188,867,296,687,857,261,914,
021,463,246,440,385,249,521,956,398,960,808,806,461,596,127,875,167,778,224,
814,825,953,063,346,895,110,277,854,691,146,599,149,420,679,334,058,643,347,
978,374,211,696,453,685,356,707,289,408,829,908,600,204,325,422,379,471,997,
865,944,227,306,223,086,985,106,508,840,794,183,644,742,934,450,649,891,276,
442,693,888,454,861,821,133,893,779,390,328,025,536,234,136,736,220,206,671,
941,042,975,587,377,043,831,650,626,290,009,410,740,742,784,551,779,688,336,
111,634,779,978,047,991,082,533,362,114,581,609,186,341,424,039,588,665,396,
561,664,354,927,523,368,263,498,968,357,031,268,282,476,997,524,154,931,065,
698,293,504,263,673,431,631,424,876,052,494,821,133,107,361,752,836,056,122,
618,189,983,698,546,902,795,515,121,202,763,183,404,620,850,588,404,947,431,
502,829,863,807,138,808,023,114,754,723,442,245,084,239,611,594,660,952,113,
144,595,391,486,015,852,662,797,868,210,675,395,060,100,097,421,787,693,678,
797,918,197,039,911,864,152,033,700,112,762,388,408,391,516,834,092,843,002,
588,507,910,109,502,065,895,254,091,348,451,003,856,698,670,215,457,460,372,
624,031,232,196,674,821,145,597,992,067,780,949,709,971,055,832,393,055,270,
158,515,194,283,616,170,875,441,073,506,517,711,030,362,193,156,581,534,322,
928,943,741,602,990,855,350,596,418,065,466,713,563,314,989,662,003,137,046,
966,759,973,715,314,361,551,003,888,103,658,234,089,690,874,521,606,400,674,
191,396,531,824,284,100,602,034,022,387,980,128,971,306,563,383,752,430,331,
460,575,763,740,036,562,796,703,297,309,545,117,706,729,583,149,381,810,827,
788,293,914,971,314,849,326,659,617,257,406,056,886,614,561,020,433,082,587,
789,014,348,433,469,118,368,439,195,818,572,724,421,410,855,168,370,476,483,
640,339,307,604,157,105,233,423,681,841,667,655,971,883,586,322,623,648,963,
981,687,753,159,596,872,444,306,524,663,609,393,685,763,925,807,439,884,060,
476,218,233,842,061,406,272,048,802,352,424,425,994,174,343,493,243,205,394,
367,643,207,846,530,666,114,057,569,048,527,364,595,932,732,916,557,383,553,
871,792,007,458,048,498,274,625,589,779,425,391,980,460,254,887,838,034,247,
432,263,237,332,625,100,417,064,993,723,288,920,216,184,187,757,770,450,704,
593,544,789,663,901,917,044,021,510,593,787,032,017,652,814,527,445,748,107,
938,688,673,820,586,119,513,920,029,505,310,929,987,418,038,442,429,473,538,
751,917,896,367,012,901,265,497,839,491,456,790,565,504,634,427,453,984,687,
182,608,907,668,842,837,421,795,209,043,245,324,490,640,056,804,046,278,080,
963,156,860,658,777,559,870,224,648,379,065,773,089,971,292,673,533,527,308,
265,261,369,650,269,694,641,088,058,610,086,806,864,774,021,773,759,601,450,
383,548,818,052,283,869,206,917,568,017,731,104,983,230,705,450,805,934,029,
865,793,127,291,325,684,756,765,720,848,820,186,596,652,513,811,695,959,662,
705,352,190,326,469,579,183,796,730,020,174,207,610,335,053,802,259,422,568,
250,695,581,593,638,950,093,189,570,713,408,642,874,573,745,721,526,988,075,
845,432,703,427,369,064,763,766,996,646,098,093,843,357,104,649,794,363,753,
164,719,439,698,862,683,503,375,705,552,249,414,584,226,362,946,266,003,580,
785,144,926,676,827,614,000,334,930,438,414,063,043,554,130,773,324,351,924,
943,966,850,940,643,658,338,294,203,252,674,985,738,865,279,734,393,420,319,
942,667,830,029,369,601,695,998,330,450,916,331,352,281,777,575,001,846,903,
616,880,226,292,881,134,772,800,028,849,302,393,958,426,595,234,284,371,897,
180,873,280,739,922,655,813,740,188,524,173,322,990,836,640,663,411,169,940,
193,876,073,350,545,945,235,168,762,018,888,293,034,158,594,623,320,010,373,
848,246,098,815,321,610,807,649,009,191,955,538,211,440,207,252,022,430,690,
529,996,483,369,571,530,942,101,144,065,042,381,465,445,433,010,024,296,350,
564,249,305,326,948,981,814,866,039,685,074,501,973,923,516,724,447,745,305,
477,886,299,203,014,552,091,276,764,377,862,290,486,298,526,990,176,716,881,
397,898,977,891,853,022,089,987,415,445,902,829,216,930,602,276,453,369,226,
807,419,185,713,279,228,213,866,761,973,279,284,521,735,569,480,473,230,229,
722,105,267,864,468,685,657,287,384,413,259,114,552,958,664,097,929,499,262,
241,898,216,193,914,478,555,519,199,093,015,309,158,216,385,383,533,762,316,
716,832,502,493,982,553,566,281,148,577,635,248,873,096,613,383,536,863,640,
193,002,628,162,725,785,332,428,872,458,227,941,462,926,693,166,534,789,902,
243,619,170,449,916,901,128,481,020,015,794,609,946,337,714,851,004,537,428,
256,538,040,271,295,048,556,485,660,907,159,631,258,479,723,241,786,365,748,
598,193,271,143,461,565,493,585,312,341,436,114,123,309,105,524,375,856,941,
791,064,897,798,833,449,591,110,115,504,470,357,205,054,232,674,025,238,550,
969,400,573,016,722,875,417,590,737,769,898,865,889,531,836,508,534,792,326,
411,802,297,707,725,673,540,552,799,379,889,533,697,605,122,273,528,525,065,
486,410,914,454,999,298,375,960,872,554,819,104,126,028,426,097,698,309,310,
674,083,765,817,690,635,551,980,914,147,908,817,909,856,256,863,159,690,437,
212,401,965,216,999,085,702,560,739,167,865,287,972,151,845,326,052,219,198,
565,855,118,163,843,586,105,814,330,561,185,357,124,946,380,532,759,396,063,
530,620,978,840,684,819,113,269,278,660,159,611,706,836,749,782,477,360,304,
084,000,898,216,696,552,732,329,898,311,804,859,127,422,900,902,653,562,983,
842,168,593,151,612,756,956,622,600,226,527,691,900,967,611,081,697,405,153,
257,320,984,966,619,326,740,554,769,612,358,236,503,060,316,135,704,077,834,
018,673,220,365,205,161,438,001,649,844,958,457,138,360,595,556,322,870,175,
821,370,856,452,663,583,954,342,774,808,555,449,155,285,790,144,865,154,397,
895,067,160,819,367,002,262,511,198,484,073,877,026,169,442,565,116,327,806,
514,135,656,730,247,243,709,176,095,536,785,534,670,802,851,400,671,955,341,
263,651,203,955,113,186,944,440,053,702,532,164,478,255,294,178,041,532,189,
411,693,879,161,374,760,283,655,502,607,698,001,524,597,735,958,060,533,740,
497,523,575,685,536,142,884,081,290,382,224,304,124,331,322,203,206,052,130,
190,158,871,668,003,537,167,192,473,749,013,897,623,847,944,071,751,185,945,
476,505,314,407,396,788,262,407,831,773,665,583,257,098,173,736,309,412,955,
921,842,555,630,773,521,619,062,567,464,817,904,935,014,724,720,095,829,489,
399,507,491,654,908,162,577,210,485,851,707,993,773,922,518,265,147,078,816,
184,199,550,876,808,932,810,853,757,646,214,535,921,090,598,394,360,306,844,
143,051,422,916,910,485,556,969,641,090,307,495,289,617,209,009,847,424,878,
724,049,102,386,534,669,653,878,009,844,347,350,806,847,322,133,062,372,117,
819,904,368,080,370,195,417,246,575,324,338,091,388,045,909,768,653,052,027,
051,211,414,620,692,211,457,678,981,904,496,646,660,020,437,855,059,796,064,
404,423,939,376,414,185,953,769,738,158,836,827,875,909,591,808,396,039,093,
451,022,861,164,992,949,557,651,980,644,363,112,749,291,322,884,453,911,976,
256,274,966,838,883,647,715,368,065,314,447,740,054,057,281,987,865,316,625,
358,493,099,546,884,308,725,289,205,587,181,856,928,620,196,804,074,679,677,
919,223,152,743,368,047,200,758,236,257,540,514,610,902,172,682,399,751,693,
462,257,518,657,105,073,490,923,832,769,308,394,619,998,314,183,175,387,989,
527,115,016,868,115,290,958,006,773,033,734,983,016,619,443,738,448,791,138,
234,001,449,010,546,921,224,525,367,634,874,106,792,262,544,357,605,976,196,
225,209,474,302,141,675,565,272,035,133,130,784,372,591,475,513,687,224,824,
122,774,243,614,398,348,289,792,100,407,396,336,066,035,109,923,859,516,511,
077,861,078,041,307,205,127,840,453,737,705,852,838,789,628,528,901,226,364,
020,610,802,070,792,544,041,572,676,833,798,858,585,077,033,979,172,337,234,
816,261,736,971,269,305,357,326,943,065,017,193,226,425,825,086,287,888,839,
565,944,682,971,513,921,002,907,085,216,453,987,113,688,435,496,431,338,806,
653,765,221,231,201,451,447,164,358,790,878,478,693,543,618,114,530,777,267,
973,707,684,528,072,216,197,423,128,266,845,494,501,738,859,267,301,494,662,
610,964,485,717,656,673,659,350,798,896,506,518,493,771,931,108,033,392,677,
141,833,546,021,174,135,256,226,717,626,786,511,910,647,623,326,448,595,590,
702,732,195,100,591,326,611,356,247,137,665,673,078,932,865,775,449,415,132,
545,837,730,085,389,604,603,526,354,085,170,492,314,809,987,345,103,886,024,
843,113,991,174,543,843,336,108,381,607,273,702,364,389,050,672,690,751,340,
149,696,224,597,091,357,446,125,681,832,331,467,223,279,350,932,374,066,665,
059,706,299,645,189,144,274,274,929,748,624,520,927,835,565,382,776,263,977,
114,757,515,996,454,412,704,778,938,140,798,547,519,847,071,894,525,833,729,
378,682,226,536,416,577,088,917,739,572,075,284,649,617,642,492,380,747,493,
281,708,889,923,972,658,527,166,609,288,405,285,246,894,109,479,728,798,949,
131,062,617,627,974,156,658,728,229,312,948,919,313,551,370,758,474,016,744,
972,963,834,956,257,343,591,157,700,895,764,997,840,398,430,677,987,723,243,
606,500,041,483,662,190,383,210,875,625,664,496,264,606,983,013,955,179,159,
026,876,322,956,840,771,340,192,081,922,225,129,766,578,734,200,698,511,040,
377,538,900,386,331,787,641,462,797,293,853,757,891,911,057,988,207,998,036,
346,572,338,950,410,229,797,841,336,837,774,097,270,729,534,430,626,929,155,
985,410,451,651,652,596,407,483,231,694,094,993,447,136,341,087,192,571,395,
323,904,783,058,238,455,257,091,188,637,654,765,080,863,926,677,792,919,719,
029,202,450,066,963,159,583,876,205,764,772,480,546,703,921,953,124,229,987,
815,017,820,269,369,259,061,175,587,341,420,839,314,543,676,584,807,961,449,
957,237,352,632,947,399,575,026,658,695,354,448,913,073,517,187,050,907,368,
303,541,430,743,565,368,649,494,301,995,486,925,844,782,014,780,103,953,689,
567,481,966,553,575,587,048,345,586,033,140,704,893,652,057,875,389,431,952,
551,781,191,437,478,353,620,067,087,629,359,975,068,116,152,364,734,878,481,
445,763,414,635,329,146,830,699,349,812,391,794,862,507,257,973,534,048,577,
794,523,782,655,463,135,762,099,427,556,487,262,379,244,339,465,126,449,502,
335,663,225,408,087,773,598,326,778,790,683,297,071,561,325,771,382,182,523,
092,686,251,980,758,059,722,222,887,377,790,815,194,130,613,188,598,758,285,
290,713,125,739,282,923,449,594,390,926,266,153,087,797,097,216,267,323,791,
947,960,380,851,937,213,233,419,041,808,018,085,659,119,779,754,841,852,203,
191,798,944,928,937,809,739,758,208,931,109,368,695,985,216,783,262,765,144,
105,542,186,800,997,657,281,735,961,820,601,555,208,010,927,184,809,137,095,
379,599,371,129,428,739,215,457,080,089,768,523,282,830,100,144,438,023,397,
925,965,560,618,848,262,939,964,481,804,091,663,215,182,505,741,241,192,620,
897,438,771,421,429,212,481,677,272,555,643,218,166,490,084,377,460,802,070,
424,170,846,092,640,676,700,452,857,328,443,943,367,210,632,420,935,214,231,
938,280,635,974,783,467,897,915,260,790,117,649,868,771,718,577,566,786,798,
559,188,746,511,551,190,690,309,794,381,713,790,717,080,881,780,459,458,057,
766,153,057,483,513,243,719,948,043,515,764,207,918,582,315,018,005,002,008,
785,239,491,953,710,087,097,422,647,657,124,835,322,918,925,140,573,918,781,
801,502,704,151,878,699,588,943,542,545,663,598,458,817,896,490,525,508,457,
992,229,145,725,729,201,464,550,634,662,289,667,801,681,402,027,332,497,686,
689,992,318,795,302,208,056,409,722,727,788,698,774,639,038,397,978,715,966,
296,873,615,109,495,953,768,604,476,689,814,796,438,567,910,435,910,362,963,
119,379,184,956,271,056,204,722,449,739,116,957,432,105,654,059,666,891,104,
504,035,709,883,012,292,281,502,066,297,952,750,772,293,528,999,283,903,046,
191,828,148,947,834,499,346,590,160,547,900,645,204,144,291,113,495,394,044,
693,969,667,680,649,618,492,500,761,086,183,413,831,468,923,822,500,797,903,
623,258,468,479,819,338,282,697,536,206,160,969,815,363,732,404,367,192,601,
424,697,968,818,706,607,273,974,626,431,092,935,818,246,464,523,811,590,579,
901,486,423,365,294,041,958,866,504,908,763,280,475,797,680,690,906,963,426,
020,345,392,427,985,380,722,645,358,953,235,297,376,438,636,318,893,386,652,
632,899,491,768,480,763,067,712,417,004,909,805,339,844,635,520,908,618,645,
551,187,137,068,000,042,028,561,614,053,289,364,223,185,288,225,869,296,255,
720,266,045,080,275,312,992,479,430,844,609,562,650,330,783,519,134,572,174,
392,187,849,001,620,433,735,897,696,108,402,464,995,369,244,634,860,841,713,
371,987,354,161,886,450,581,789,226,829,490,588,340,269,956,850,700,481,191,
340,226,198,720,142,319,519,816,869,174,137,927,890,352,244,076,566,317,989,
496,202,879,960,740,060,633,187,174,433,499,489,380,505,570,488,557,369,745,
717,327,055,683,712,816,125,901,215,481,467,299,744,841,463,504,383,919,127,
929,992,934,863,976,188,692,278,917,664,231,359,764,544,749,329,881,318,408,
901,912,275,784,206,961,967,895,507,330,709,436,963,748,122,746,575,243,632,
210,124,444,682,803,193,431,823,105,301,855,297,575,928,637,038,487,204,000,
619,460,901,218,189,769,667,099,450,368,155,572,766,885,926,061,058,381,249,
776,092,436,854,933,390,849,982,974,106,929,435,812,224,644,408,770,512,740,
904,423,657,926,477,898,984,131,293,710,526,213,766,930,149,951,995,513,356,
215,217,075,149,657,807,858,679,856,111,257,435,482,938,310,842,895,799,057,
761,807,144,766,636,621,147,904,391,267,979,938,158,511,013,785,575,400,652,
547,307,228,877,766,821,617,424,999,495,429,270,778,049,289,238,876,702,433,
761,941,262,860,696,436,225,224,482,060,391,037,773,772,603,819,082,700,027,
305,844,579,826,366,269,857,190,002,634,072,369,571,096,551,851,210,366,491,
189,241,758,347,145,616,589,752,541,599,537,691,370,483,963,313,214,679,288,
003,696,507,910,019,084,019,276,886,922,598,810,991,367,130,851,910,073,531,
772,034,312,223,627,253,791,009,545,908,244,111,700,185,542,326,620,670,204,
210,669,948,681,239,575,176,681,835,155,631,648,807,394,774,998,920,113,487,
579,212,154,339,792,073,920,141,036,976,193,978,779,992,907,926,826,855,813,
887,389,963,164,368,987,315,821,167,334,669,313,539,061,531,627,981,316,083,
483,026,739,503,915,781,433,700,274,897,166,962,798,524,546,270,780,593,034,
037,619,480,665,691,699,871,984,639,126,183,197,428,974,288,395,750,518,528,
836,312,429,279,603,918,043,650,905,942,265,688,732,454,694,539,557,020,204,
457,405,838,656,272,021,530,274,454,467,603,345,701,554,510,997,907,449,984,
855,476,602,321,774,917,677,069,654,738,568,460,593,327,995,663,486,747,158,
440,419,221,513,446,213,803,247,699,233,922,348,968,890,937,354,303,116,239,
100,194,885,108,081,429,403,226,177,156,533,820,681,215,409,036,119,046,947,
678,637,301,058,884,581,638,577,668,727,802,852,404,714,796,985,537,746,714,
177,363,051,576,649,190,505,507,962,874,325,970,252,324,086,649,405,115,574,
500,183,493,891,451,575,140,873,700,074,119,567,441,678,151,344,914,642,477,
444,349,346,677,912,519,851,442,349,400,966,281,933,387,660,752,319,118,278,
303,365,690,448,499,784,623,940,560,365,329,141,503,329,516,199,551,887,264,
064,322,491,808,235,937,478,636,227,906,190,891,110,658,155,239,992,239,564,
020,343,693,887,269,019,749,799,466,660,403,459,947,772,824,976,136,774,725,
220,569,327,296,027,638,850,340,881,734,077,993,694,421,188,441,294,677,537,
885,375,379,628,493,381,815,790,529,941,460,439,865,995,945,058,501,383,502,
145,174,568,062,312,102,463,944,844,678,938,423,224,605,681,816,060,682,625,
087,553,537,811,018,457,299,695,436,886,639,284,669,692,171,025,782,490,615,
794,560,639,014,472,168,309,791,906,731,283,096,345,533,697,796,819,144,459,
870,168,024,732,840,070,648,550,292,021,221,300,653,561,943,349,083,853,517,
239,570,647,366,714,182,409,572,093,143,373,357,100,305,030,841,763,555,425,
026,481,294,768,801,568,660,224,570,504,533,939,719,421,266,923,172,391,675,
871,447,413,821,946,592,574,212,225,265,146,998,798,966,502,892,285,999,649,
128,849,373,122,494,910,705,869,404,746,477,488,513,595,959,531,190,105,410,
646,081,906,600,081,366,804,221,427,011,757,337,912,338,025,764,966,773,553,
083,561,848,834,115,700,444,583,999,419,810,524,385,861,881,105,149,459,614,
778,575,965,696,074,959,936,447,367,898,330,274,529,762,069,039,543,879,923,
684,967,719,768,263,208,230,799,021,646,619,011,197,908,410,268,732,313,915,
514,179,397,580,280,540,904,405,835,756,736,468,577,416,288,500,264,534,821,
954,267,152,421,169,189,091,251,153,946,369,763,493,831,918,513,932,583,561,
218,083,591,063,301,582,243,094,202,492,243,916,176,525,312,630,883,490,651,
237,609,157,595,976,741,460,184,030,834,678,510,487,228,542,983,248,855,909,
616,158,877,373,527,542,572,450,968,116,850,839,656,021,407,046,191,271,472,
252,677,396,279,759,966,641,907,031,151,206,021,929,945,387,089,086,593,575,
354,465,811,079,825,641,158,617,590,095,991,497,969,875,429,782,221,422,825,
741,023,986,715,551,670,082,798,086,543,806,377,438,563,233,487,417,535,859,
878,508,383,429,898,955,742,389,742,367,828,964,206,932,948,275,255,890,112,
450,181,849,932,394,040,862,121,317,096,605,235,831,466,291,755,795,758,750,
471,467,009,753,299,433,266,819,018,562,600,115,982,436,214,781,736,592,123,
636,514,535,071,690,479,864,611,214,857,962,334,191,500,158,960,260,000,466,
411,965,233,201,355,396,591,568,547,152,594,339,084,164,474,591,754,205,002,
445,688,532,037,322,926,130,490,796,465,522,301,940,494,654,688,900,437,664,
480,204,052,758,973,212,690,448,567,178,489,205,581,616,504,268,309,325,257,
953,819,180,990,965,388,950,933,460,582,474,015,105,940,928,135,596,102,497,
743,848,261,587,691,024,502,191,337,072,500,697,954,743,132,857,758,021,804,
290,367,667,225,112,620,268,504,768,827,160,228,079,427,130,156,301,219,243,
394,229,775,844,997,679,384,976,280,272,030,427,048,424,578,539,708,265,578,
274,494,467,594,180,956,446,092,328,455,904,257,453,087,704,941,748,579,876,
556,122,477,828,040,338,916,601,721,537,091,382,612,748,935,499,895,572,609,
921,067,865,461,521,949,043,263,776,268,982,086,569,730,470,282,193,575,010,
172,948,930,471,341,931,296,674,305,538,572,970,283,579,114,341,257,036,388,
705,663,323,599,220,891,811,651,250,554,794,369,643,382,613,501,961,440,039,
390,716,093,740,610,076,301,236,606,090,127,069,179,655,748,843,636,294,952,
995,804,039,874,288,561,854,035,519,605,489,600,418,068,275,065,626,082,298,
597,501,994,272,073,214,698,563,942,102,655,446,436,036,415,835,628,466,343,
371,650,503,106,546,943,818,770,994,829,359,587,739,786,859,145,988,622,887,
915,126,515,616,918,743,003,905,009,189,596,959,267,993,786,644,995,073,909,
494,834,855,615,120,023,841,562,561,620,508,683,097,271,614,400,729,551,990,
237,100,425,897,970,936,453,848,617,354,385,184,997,131,625,290,610,618,222,
290,264,872,160,462,522,531,340,004,017,896,047,910,899,080,907,014,748,644,
593,834,499,866,803,752,765,925,018,962,265,083,121,669,710,639,379,130,453,
880,781,548,456,248,445,365,346,557,573,741,887,472,007,189,124,975,939,783,
564,884,955,731,396,523,941,647,842,819,451,257,515,139,647,140,526,610,867,
507,449,655,042,618,474,505,569,056,706,367,270,132,333,044,779,792,586,402,
093,937,928,136,909,909,533,595,304,401,867,012,632,309,666,136,955,787,541,
581,291,571,539,685,422,805,111,689,428,418,538,182,877,758,028,844,764,052,
976,979,452,851,576,401,787,091,296,727,524,922,223,775,120,572,671,614,002,
265,343,437,883,584,952,023,074,308,642,559,727,594,463,077,099,146,641,043,
792,956,809,104,043,616,695,661,011,130,744,095,613,581,403,096,167,990,276,
573,410,122,580,476,574,248,743,826,465,960,974,976,406,294,050,847,664,454,
240,843,503,625,302,290,428,903,537,826,298,966,304,379,334,015,175,810,530,
743,265,196,892,734,688,911,800,307,962,962,071,108,951,097,692,359,127,019,
010,459,561,761,227,534,530,480,981,175,791,251,950,860,259,583,067,728,037,
832,248,031,171,506,523,356,410,026,407,546,846,405,261,243,025,743,202,313,
045,144,026,863,460,113,489,446,235,833,336,386,406,056,864,351,442,483,608,
340,897,227,715,575,753,032,761,504,431,399,992,740,279,939,329,284,783,708,
954,579,152,048,755,064,335,712,391,850,979,874,601,298,354,521,247,634,495,
346,961,731,819,206,666,487,306,128,148,256,578,562,202,817,472,006,678,611,
272,171,087,947,855,416,432,906,110,118,370,615,469,449,607,342,560,028,258,
437,225,914,659,873,960,283,752,280,743,895,913,471,308,687,149,967,530,378,
466,927,966,225,370,399,659,180,858,092,679,969,258,219,385,398,483,413,014,
759,286,136,313,377,205,500,905,924,961,366,089,290,887,967,736,633,973,967,
396,196,799,649,551,146,174,540,770,994,520,966,326,801,459,678,395,800,487,
539,316,234,041,436,167,142,537,679,159,927,630,849,085,446,359,674,395,211,
575,993,634,368,752,798,916,717,784,660,001,322,401,055,986,557,954,791,521,
878,121,288,534,268,576,501,966,873,016,886,183,979,720,394,622,860,674,279,
953,135,972,969,806,157,011,728,563,519,306,985,847,835,030,061,772,836,240,
914,108,128,732,184,290,280,150,082,659,614,947,110,812,422,868,933,089,645,
769,654,876,488,320,971,608,929,776,966,932,371,193,477,683,714,342,401,426,
896,067,057,909,943,985,458,289,254,440,523,330,333,394,589,615,484,199,249,
846,583,200,951,394,210,616,685,323,225,442,079,292,825,067,253,287,090,137,
185,537,572,006,736,288,868,134,561,207,178,174,503,288,290,290,879,126,682,
166,296,195,953,482,722,513,177,766,205,755,890,228,848,041,327,007,445,319,
620,903,332,672,480,564,360,596,393,826,649,880,947,202,608,522,849,247,354,
349,278,907,608,228,109,035,824,596,004,258,030,900,569,748,663,764,773,958,
181,861,404,824,445,856,016,216,766,489,158,361,827,364,008,183,682,978,582,
703,701,784,465,901,864,001,622,894,911,255,841,113,514,493,294,677,124,843,
128,402,679,830,954,704,460,073,526,327,961,003,114,714,129,500,158,048,995,
555,852,509,491,086,110,288,939,084,095,876,750,300,508,402,913,092,109,962,
677,444,439,677,675,275,949,856,814,252,221,959,685,077,575,119,881,978,107,
735,262,614,946,835,505,703,840,182,645,393,669,134,078,131,114,686,848,235,
589,877,317,283,236,689,678,601,611,792,500,905,419,844,586,232,066,358,057,
377,022,029,864,890,712,566,768,883,298,031,325,724,925,888,822,369,167,318,
204,131,939,497,111,395,162,907,873,241,335,996,638,609,648,886,912,663,324,
028,874,980,983,737,718,793,034,375,801,573,275,735,194,294,813,546,226,180,
495,240,316,780,101,282,609,679,523,981,199,890,509,101,241,728,162,014,647,
095,989,477,731,209,045,400,074,671,684,239,643,352,109,834,091,122,605,507,
250,090,392,544,071,445,261,216,961,809,784,549,996,853,332,980,149,618,036,
002,641,595,556,010,278,133,401,455,305,179,418,478,615,714,755,541,963,705,
634,869,976,011,383,870,352,024,101,001,533,695,050,027,956,582,847,001,065,
138,222,727,084,026,649,910,379,001,838,320,908,828,034,178,142,867,480,138,
676,967,340,649,338,489,466,726,131,066,759,780,699,262,051,361,778,241,466,
124,230,993,257,757,665,314,174,824,024,918,748,558,111,221,320,057,129,588,
480,911,851,846,442,974,785,627,210,010,810,145,446,202,968,192,828,044,102,
467,164,527,636,944,674,707,019,613,804,642,707,239,266,660,521,200,440,185,
432,009,850,279,743,234,535,902,552,348,220,598,875,906,419,188,979,088,474,
522,306,469,519,741,314,081,723,759,719,320,788,026,551,620,699,941,910,292,
816,875,115,861,190,560,080,087,641,978,342,942,712,854,458,744,450,047,999,
880,648,871,569,439,834,835,721,721,167,395,775,253,920,814,262,401,924,006,
482,669,573,493,296,281,148,823,441,798,826,786,038,216,184,443,174,770,296,
309,920,476,463,748,655,506,792,485,053,921,447,439,479,616,247,226,862,839,
500,602,637,498,130,903,835,880,700,520,708,463,873,873,162,830,556,532,083,
736,974,734,330,857,098,283,423,840,636,798,492,604,152,147,883,401,651,852,
025,992,107,258,292,772,120,998,305,998,922,409,503,643,152,919,997,788,249,
804,830,661,326,013,526,984,086,383,670,839,373,524,106,210,627,405,806,645,
449,867,749,753,171,531,095,399,116,518,321,044,414,821,824,907,903,420,245,
186,812,671,227,215,941,555,298,675,003,335,968,629,304,538,469,987,544,217,
546,725,462,484,810,543,338,561,216,604,569,558,243,894,862,380,056,635,971,
075,150,066,865,697,886,431,024,557,249,028,775,134,462,050,919,973,023,152,
660,974,273,398,490,750,643,711,165,553,046,665,030,274,700,629,249,939,806,
686,193,358,936,187,376,175,405,197,353,306,907,467,930,917,189,360,665,978,
215,950,319,188,541,248,511,201,640,153,678,229,736,082,777,914,495,639,639,
740,675,552,144,849,275,152,886,874,573,691,866,126,437,865,976,692,154,213,
597,793,500,100,133,311,124,105,170,826,291,167,564,624,988,255,704,393,936,
230,125,282,325,321,197,831,706,602,490,671,091,950,531,462,599,780,835,685,
999,503,013,419,977,565,975,394,516,025,732,197,227,280,695,458,516,830,854,
064,632,175,481,426,498,228,656,988,124,854,375,838,104,154,261,529,066,536,
147,396,720,316,036,432,853,615,538,539,308,317,806,302,615,578,157,226,880,
223,386,335,068,938,150,750,970,596,086,696,866,433,396,827,037,564,273,126,
209,944,912,155,021,612,371,100,056,398,136,190,250,244,386,284,919,321,420,
271,490,961,842,418,226,262,932,376,328,802,958,314,010,642,806,873,522,793,
842,894,890,762,744,092,589,605,459,256,606,341,955,436,565,042,316,010,645,
366,730,354,341,447,921,063,946,467,957,705,940,429,124,173,365,149,980,038,
084,325,347,205,950,306,353,888,171,239,329,545,701,228,089,343,926,875,565,
905,338,017,726,347,857,042,372,949,146,778,633,218,033,246,797,272,470,257,
961,381,675,529,625,863,978,185,629,250,373,458,442,906,504,454,306,361,314,
619,539,288,674,535,076,626,534,908,800,723,880,580,894,638,912,178,251,185,
483,080,107,968,322,036,942,286,030,829,597,969,541,701,426,520,610,819,337,
699,142,575,580,709,757,068,028,273,071,376,866,753,707,004,307,728,531,074,
547,049,345,341,874,807,845,965,675,725,004,059,852,581,958,692,001,669,011,
319,003,448,405,975,137,228,000,686,476,047,547,236,249,063,750,138,751,117,
051,230,257,410,398,725,533,768,408,761,111,665,997,414,210,063,322,495,318,
727,735,854,243,038,793,896,731,416,096,458,707,861,219,080,311,926,230,346,
858,391,717,199,681,445,451,326,321,899,762,132,844,252,872,415,313,895,209,
669,857,562,716,178,709,986,426,502,670,537,413,272,502,510,700,474,280,649,
458,893,788,120,276,311,858,446,804,441,640,683,104,450,753,928,299,321,736,
893,331,197,434,519,236,285,660,820,800,975,416,167,385,114,723,500,498,938,
772,135,220,889,649,178,308,677,349,285,689,921,368,254,302,095,949,770,605,
360,886,037,372,529,805,188,204,043,397,254,863,889,582,110,585,861,633,909,
825,409,989,457,823,377,121,116,358,437,368,770,878,005,735,632,352,864,305,
051,944,671,164,752,818,706,818,043,142,058,588,672,174,831,788,118,292,113,
871,421,666,950,216,157,899,991,581,763,170,549,766,015,457,629,009,646,451,
799,670,285,386,768,113,986,877,394,329,135,059,055,251,665,769,879,337,223,
400,938,158,280,227,166,678,943,803,896,609,036,524,034,067,206,095,025,321,
071,808,254,604,423,806,654,881,563,581,463,384,249,106,243,683,087,939,006,
711,395,885,924,675,054,887,622,112,177,909,254,351,794,156,439,763,122,938,
043,866,105,796,664,699,762,380,498,173,936,978,886,757,071,175,995,588,784,
037,654,164,832,273,100,403,560,041,230,320,261,482,524,423,583,129,617,776,
316,360,769,922,621,589,053,988,017,595,181,907,089,308,695,299,181,111,276,
686,276,985,723,930,200,116,479,739,342,062,419,197,269,774,342,878,844,292,
435,274,225,247,379,735,760,201,728,611,822,551,713,143,662,023,134,305,909,
337,491,712,827,573,818,495,870,946,566,023,202,940,429,276,099,704,669,956,
243,977,339,677,697,070,476,614,231,023,968,338,530,806,317,411,780,345,422,
367,071,334,655,402,485,064,758,547,883,413,483,392,642,539,620,844,126,886,
664,274,538,127,977,876,614,109,956,664,720,420,411,092,663,534,073,484,844,
121,663,352,368,514,776,360,174,388,188,271,735,237,314,984,715,656,955,977,
897,749,859,357,387,067,116,568,129,677,757,001,372,151,495,443,085,483,075,
370,552,042,601,231,622,403,134,355,799,402,405,792,674,422,954,743,293,335,
927,263,618,611,949,781,260,676,455,109,046,505,497,747,102,177,406,642,158,
078,032,623,086,004,481,075,229,108,420,658,881,197,378,284,215,777,578,524,
526,809,754,984,048,722,393,040,316,054,574,958,932,329,291,900,988,585,923,
312,810,665,861,870,368,001,520,620,031,389,442,561,240,029,353,554,472,871,
565,626,275,907,485,288,864,638,141,201,183,445,002,576,991,987,054,992,013,
913,155,597,788,767,967,195,725,089,073,304,973,063,666,235,553,926,318,772,
595,107,515,963,600,443,645,374,648,634,631,185,284,401,736,032,769,079,198,
510,056,813,238,086,663,964,495,101,674,802,637,804,897,860,146,480,052,265,
432,951,556,463,194,346,229,067,246,593,244,400,221,087,221,245,625,481,045,
679,770,866,952,735,030,384,474,861,959,478,411,848,120,813,612,312,133,518,
521,884,050,248,548,801,861,947,083,698,519,532,445,349,211,521,043,953,548,
423,220,892,253,918,966,163,053,579,312,195,641,455,778,157,982,750,210,708,
809,531,780,584,269,198,142,083,822,642,173,928,980,467,418,817,069,175,614,
976,110,358,786,473,749,767,553,177,999,431,756,847,075,871,411,157,434,729,
681,201,812,571,597,457,092,606,657,905,977,930,938,887,674,819,638,024,405,
583,334,707,274,399,050,265,498,444,785,059,922,843,956,464,248,404,171,363,
699,660,000,546,268,662,175,242,434,909,396,717,454,541,440,419,667,356,521,
032,383,870,629,708,859,505,697,844,322,750,171,028,098,735,340,300,432,304,
073,694,456,513,877,582,257,327,116,895,899,034,164,427,453,397,531,456,044,
369,437,669,566,800,576,965,702,097,325,974,875,941,521,577,093,118,145,587,
402,318,773,367,560,598,494,592,744,525,973,183,690,431,747,928,139,095,289,
113,374,964,449,630,969,612,747,469,316,454,863,913,535,735,823,474,604,228,
907,871,467,694,134,395,419,674,852,002,162,822,221,475,050,377,400,588,998,
442,836,093,789,601,470,497,769,483,621,159,212,726,765,401,111,781,687,858,
138,627,306,916,892,057,812,963,753,045,351,688,592,574,110,619,472,538,677,
611,803,790,285,975,032,395,443,962,950,467,856,713,763,837,316,216,859,101,
898,458,147,693,278,694,655,899,263,222,415,371,897,020,155,352,326,187,302,
874,329,863,844,946,470,489,627,825,591,971,950,639,662,386,133,134,959,780,
035,859,714,378,160,701,135,526,778,477,659,232,526,296,134,228,821,179,776,
330,316,001,851,766,861,605,686,791,270,697,723,698,987,242,491,537,690,915,
781,100,837,799,920,042,280,145,892,492,182,598,719,185,888,947,236,152,308,
271,350,171,462,360,640,405,403,527,329,483,592,107,413,181,974,018,895,409,
987,502,497,691,213,994,009,437,711,675,213,754,317,290,671,150,123,282,871,
430,009,347,879,232,782,006,978,144,011,991,654,727,951,654,006,808,593,424,
354,905,455,799,500,281,918,003,456,265,037,008,333,952,705,819,392,946,025,
769,373,823,681,379,934,218,549,146,486,021,750,892,416,648,350,253,447,885,
780,573,259,067,589,840,036,419,916,856,431,589,863,988,838,021,609,693,273,
216,716,025,148,286,983,533,474,713,386,051,832,260,307,934,347,057,784,111,
225,503,168,412,510,823,431,236,981,343,773,605,675,206,497,395,298,435,532,
670,034,567,087,222,641,114,387,723,450,286,355,894,876,667,931,384,767,079,
301,648,199,150,327,372,161,127,924,336,471,034,659,625,244,665,820,518,944,
694,418,297,695,577,790,482,533,452,350,563,903,541,466,809,389,663,044,463,
000,936,158,486,271,395,804,260,116,580,004,114,753,836,851,131,022,135,164,
256,318,598,907,536,429,854,715,173,826,212,566,407,358,024,580,826,640,868,
816,886,713,705,849,997,845,683,970,011,440,773,667,925,692,401,512,524,203,
324,667,144,719,037,355,171,686,993,824,097,190,815,215,771,329,707,002,028,
985,082,498,924,991,141,343,455,210,567,601,011,282,298,326,701,541,508,815,
676,628,961,791,277,167,211,162,394,200,719,077,804,474,089,220,085,300,909,
655,607,214,899,911,730,445,022,284,341,808,093,367,239,030,977,799,602,148,
347,388,111,114,063,891,276,534,409,109,600,999,658,372,341,164,571,168,801,
831,194,658,998,062,992,742,135,450,759,187,816,556,575,674,702,922,506,640,
688,906,887,574,213,628,923,168,727,593,957,752,247,365,815,156,551,296,221,
680,646,640,934,036,144,650,938,452,306,915,180,551,889,648,042,978,251,549,
767,473,843,948,193,215,202,847,128,596,906,746,778,073,675,331,533,276,515,
087,079,321,636,758,501,282,748,981,305,135,806,371,581,853,857,261,758,712,
403,029,533,147,133,970,731,550,292,124,504,080,602,531,000,706,554,063,063,
693,696,502,394,922,959,714,479,502,861,822,590,772,725,972,743,027,053,475,
454,510,021,512,773,182,666,343,869,974,135,375,264,296,884,066,920,609,127,
986,057,880,465,360,521,365,888,718,115,108,980,193,198,321,367,095,878,428,
058,160,640,874,202,718,299,724,897,928,068,273,174,654,740,479,365,539,834,
601,518,291,374,026,228,069,652,627,735,265,622,639,897,878,514,157,138,112,
113,382,259,484,377,916,594,509,380,690,900,177,627,535,337,636,990,317,965,
632,993,404,656,779,976,365,062,136,665,158,330,417,282,768,696,744,483,010,
650,171,796,051,290,040,298,050,863,121,811,711,166,207,588,491,909,543,334,
909,248,692,511,793,423,992,720,157,237,481,260,457,676,075,552,350,770,033,
276,237,910,238,865,866,198,245,460,307,567,615,246,305,196,378,475,144,869,
086,719,190,913,176,315,813,137,327,136,130,105,747,821,539,830,136,028,048,
526,244,745,370,698,486,014,259,513,304,581,294,906,496,830,410,953,818,356,
592,923,807,945,860,338,388,552,963,044,913,949,540,186,767,797,632,207,005,
896,460,069,364,564,403,342,849,067,236,351,199,240,473,122,509,170,831,528,
034,260,639,587,437,735,981,959,983,815,085,532,932,126,027,945,887,388,190,
948,884,894,257,488,565,945,437,915,970,166,907,516,405,451,661,909,332,709,
682,137,607,590,933,135,355,048,458,968,921,508,945,212,071,341,453,461,146,
082,538,477,617,978,992,420,013,307,192,843,415,491,152,716,702,630,608,875,
207,485,094,443,468,938,620,919,308,204,524,835,608,823,964,647,309,230,921,
992,179,810,707,861,818,602,453,454,768,543,245,694,585,207,453,894,208,290,
824,692,251,250,215,159,383,450,727,737,795,555,092,425,305,049,524,927,177,
985,986,798,907,769,999,258,459,481,255,094,559,705,114,979,292,530,274,839,
326,964,208,583,557,696,121,680,028,492,329,063,838,705,288,932,921,897,989,
998,189,739,927,629,952,106,604,100,312,953,173,275,547,907,189,269,550,044,
072,798,418,799,978,121,999,657,830,633,406,700,621,722,205,943,861,577,825,
527,808,255,238,599,915,134,585,582,456,243,199,190,187,858,014,150,631,072,
000,865,849,640,953,475,450,546,434,470,082,433,863,217,683,598,143,753,532,
578,641,317,640,310,292,895,265,622,039,925,274,419,032,065,693,347,697,346,
205,740,288,062,084,140,237,119,221,348,666,305,526,455,537,319,413,295,076,
205,671,638,214,570,358,487,181,831,701,264,253,938,230,402,274,416,854,572,
419,025,633,842,344,947,745,901,255,499,073,517,446,470,035,901,344,883,223,
840,642,502,810,336,518,419,450,026,916,334,467,288,451,667,863,679,468,364,
074,704,877,920,577,361,748,251,339,256,214,583,430,746,972,032,866,207,960,
344,019,411,457,456,241,626,621,768,889,679,922,318,835,775,070,943,884,115,
153,644,502,381,712,628,306,239,645,363,390,438,144,357,735,321,233,186,626,
531,873,230,633,487,510,820,388,409,215,747,757,851,420,941,171,972,043,346,
498,849,918,843,802,166,799,520,805,788,859,477,097,797,650,378,668,427,718,
545,792,273,742,232,492,966,934,369,549,441,511,585,468,491,871,746,110,517,
291,750,023,686,878,800,496,901,295,680,319,260,826,893,163,449,292,839,345,
768,786,757,925,945,345,543,859,095,133,117,895,720,789,031,394,225,941,470,
550,337,357,539,829,263,418,218,416,549,353,915,703,514,195,101,018,233,499,
802,676,376,028,431,112,227,212,660,990,522,512,037,116,668,670,326,334,401,
020,831,431,164,512,771,798,879,012,512,526,360,714,666,966,521,238,196,684,
643,264,258,510,433,072,017,866,750,860,434,149,565,949,008,652,530,913,258,
937,721,956,158,114,155,507,051,997,320,746,473,452,247,169,687,373,729,608,
802,526,523,498,096,877,457,207,072,191,933,867,467,747,014,967,183,658,910,
274,058,465,264,315,737,403,705,538,958,127,197,916,347,061,952,305,576,871,
713,329,265,590,261,541,679,784,455,720,706,669,737,589,561,596,137,175,887,
467,810,773,155,149,782,537,368,140,044,898,139,128,311,215,212,562,147,369,
421,167,239,261,003,275,838,701,774,826,354,913,738,893,963,878,877,822,889,
016,111,628,079,943,802,520,908,458,736,297,201,156,743,478,432,374,169,902,
849,875,519,302,748,383,095,014,714,463,003,154,519,249,287,620,797,066,049,
102,698,966,223,181,090,176,861,686,856,312,917,799,635,304,304,491,209,233,
027,565,423,970,769,141,566,591,644,764,933,686,993,998,946,832,308,828,038,
525,414,406,894,659,553,864,447,411,485,062,533,827,988,800,276,449,241,496,
435,858,349,466,640,246,039,679,147,967,525,824,685,632,286,061,303,641,600,
046,301,825,105,739,384,798,992,728,619,866,345,466,393,324,028,259,809,462,
445,714,223,525,770,860,066,478,621,017,044,411,757,772,267,532,234,102,261,
712,884,510,731,256,631,154,843,669,473,575,202,486,182,767,316,269,884,123,
197,111,296,001,943,097,722,032,548,188,537,259,195,772,675,111,832,994,973,
442,019,389,699,152,233,304,311,830,147,496,369,922,482,836,347,502,216,214,
187,852,825,347,928,964,368,096,743,829,885,506,654,005,057,861,119,190,785,
664,500,941,706,837,610,786,991,197,610,585,672,652,048,860,557,219,464,970,
184,195,169,214,344,121,331,376,167,654,256,660,952,123,468,188,292,483,729,
703,397,160,957,736,897,921,947,519,257,345,521,643,338,894,565,350,967,248,
565,793,540,074,717,364,029,531,656,118,901,309,082,026,159,705,437,104,263,
010,802,508,754,888,671,265,242,649,254,406,820,995,632,091,847,229,732,296,
784,631,239,058,270,611,650,295,892,803,903,682,880,527,919,777,406,194,198,
724,512,150,758,519,647,450,259,068,359,385,495,948,324,402,318,758,967,100,
999,665,907,112,188,903,726,484,493,478,460,909,731,369,009,532,765,178,509,
134,182,146,938,973,399,379,466,911,981,698,944,987,525,157,701,095,780,962,
555,352,622,472,375,746,908,846,129,557,684,726,409,735,897,158,147,208,381,
311,295,631,865,890,511,464,272,992,116,204,185,037,843,761,284,703,672,421,
115,949,212,278,550,848,259,393,789,618,393,220,693,928,270,982,463,720,878,
348,457,221,287,065,798,376,662,346,764,234,638,753,520,840,422,976,879,143,
250,551,834,343,663,084,120,671,366,997,620,700,301,855,610,115,555,357,115,
167,890,089,854,914,760,180,941,702,191,663,097,328,988,160,949,347,683,261,
607,738,960,044,066,776,675,912,864,027,228,813,653,279,246,244,497,745,909,
522,489,809,104,540,087,214,695,800,454,093,037,971,696,219,487,640,321,991,
638,918,638,073,204,414,240,953,538,416,454,283,424,366,463,290,841,332,397,
926,199,250,847,156,705,422,885,672,824,264,852,053,864,939,837,004,023,367,
050,041,726,751,235,563,705,061,252,191,846,116,256,408,940,185,309,780,758,
603,447,846,052,321,744,440,019,463,574,945,115,880,857,499,220,959,405,327,
580,475,083,816,649,286,593,971,524,888,234,192,060,752,181,310,936,391,546,
683,558,594,410,022,406,592,781,712,475,518,682,772,418,898,904,416,591,967,
204,396,214,360,055,366,821,008,301,686,496,182,205,972,100,212,399,932,119,
751,090,387,313,018,284,288,184,157,340,927,156,098,802,080,925,337,407,811,
037,579,431,526,714,590,648,624,893,163,331,329,973,737,727,150,377,683,636,
539,204,883,745,518,306,776,439,797,797,553,898,651,516,564,846,917,469,354,
404,676,502,060,001,458,914,460,391,995,777,516,419,350,022,762,574,933,173,
571,936,856,799,931,848,516,321,104,122,281,081,000,627,889,771,592,786,281,
191,143,937,081,528,492,862,169,292,290,288,163,826,017,173,239,229,685,987,
901,362,710,638,834,064,385,341,460,761,720,777,758,179,881,926,235,730,204,
738,955,359,109,083,629,472,648,518,532,943,918,618,782,638,812,802,243,092,
689,288,969,888,297,035,583,662,558,912,470,599,209,175,288,930,901,143,910,
332,003,196,009,312,032,943,795,807,164,099,229,916,951,630,577,039,486,550,
291,964,816,700,552,411,081,210,478,575,603,681,204,782,181,462,811,061,175,
536,895,112,286,474,484,794,696,823,622,229,912,267,233,080,032,626,145,335,
480,416,197,533,993,866,117,273,976,154,451,029,163,674,355,303,896,454,744,
769,526,624,947,188,969,296,076,606,132,646,778,005,052,871,712,167,007,473,
792,396,519,573,348,662,885,759,954,509,683,603,615,619,603,829,666,390,321,
512,352,474,176,745,431,774,675,696,873,159,840,740,502,290,090,643,941,757,
010,125,721,952,587,918,945,476,596,351,477,298,664,999,859,280,575,314,837,
948,932,946,421,086,821,651,822,403,876,273,005,949,520,559,300,637,091,458,
917,014,626,612,995,186,153,818,053,786,682,151,112,570,081,406,276,821,948,
857,219,941,896,373,841,215,792,167,870,553,471,195,475,386,093,553,101,133,
641,672,717,347,322,511,679,249,347,899,208,804,546,703,231,867,618,577,933,
428,681,122,385,303,143,168,216,487,823,633,424,081,072,727,915,107,925,496,
418,769,272,164,337,760,718,624,644,986,485,757,426,108,539,996,031,990,969,
294,790,592,466,756,212,484,341,505,777,710,842,252,990,363,190,523,466,730,
073,806,295,655,966,675,679,072,956,311,869,936,840,223,435,346,988,770,193,
048,335,641,495,087,860,046,291,543,690,212,169,738,602,569,413,427,469,638,
183,311,742,718,135,254,883,185,206,069,885,065,226,884,071,593,030,934,760,
652,127,963,459,963,540,650,116,900,402,099,423,390,781,258,104,453,723,558,
738,359,468,237,536,679,140,865,257,060,452,599,239,994,431,772,101,705,620,
231,892,441,699,266,432,864,160,697,646,918,926,292,636,498,334,807,285,880,
578,121,095,461,925,565,359,125,324,754,134,961,689,176,484,417,308,777,198,
494,272,925,903,478,428,760,964,685,494,653,552,489,362,986,498,907,378,183,
602,150,848,671,929,359,302,143,574,901,943,150,626,804,894,762,047,256,615,
835,457,140,195,406,072,291,919,460,375,797,263,354,724,154,907,661,309,773,
571,661,615,804,191,973,419,688,768,398,354,322,732,379,076,870,564,123,648,
692,592,375,134,095,141,214,738,392,603,727,996,362,229,763,217,463,179,575,
240,864,746,198,752,563,992,165,933,567,987,131,232,213,378,349,594,983,051,
299,199,255,754,377,356,193,247,910,901,833,803,701,285,134,255,521,591,380,
719,034,936,865,314,438,063,882,705,045,378,639,041,470,947,555,955,868,388,
630,752,135,408,057,984,173,881,988,207,220,011,110,873,069,122,336,370,063,
368,724,767,218,420,572,987,749,702,552,640,729,692,902,716,369,616,809,517,
862,042,544,707,321,786,156,419,733,946,801,880,950,361,669,570,930,700,492,
248,070,274,536,660,986,027,030,371,770,252,831,739,295,341,612,779,718,017,
004,553,907,922,539,692,052,532,971,628,642,131,302,125,342,087,814,296,825,
312,037,960,196,710,391,524,748,819,855,252,999,645,328,711,331,773,725,729,
255,310,487,687,405,168,150,281,804,143,561,541,103,716,847,888,989,304,597,
807,488,353,965,709,430,004,705,668,160,939,697,244,821,339,728,442,072,544,
304,098,082,357,265,512,786,045,303,069,386,321,791,106,982,939,848,829,079,
300,212,288,053,652,802,286,366,707,519,261,132,665,242,871,301,728,356,141,
550,998,452,450,255,022,639,191,549,316,215,357,724,856,901,348,741,990,994,
965,852,167,943,616,245,601,281,728,762,658,530,267,278,779,254,681,545,791,
871,734,623,703,439,698,656,957,761,339,281,493,003,079,059,507,143,611,394,
341,755,194,651,188,230,914,328,141,050,917,269,247,320,720,695,125,381,863,
645,092,469,249,001,830,194,970,564,393,812,209,428,218,840,983,337,588,311,
743,240,917,846,167,933,867,353,514,004,057,450,839,790,302,813,765,719,098,
268,577,979,333,912,526,552,380,979,057,526,609,680,283,622,645,734,838,145,
262,602,379,516,430,547,107,899,361,475,459,155,788,533,540,544,510,824,483,
129,585,910,626,979,222,324,612,417,016,697,990,380,226,419,218,214,574,419,
961,711,274,202,581,999,626,400,280,912,002,087,808,713,898,790,865,923,409,
763,273,333,821,197,814,572,550,029,882,813,780,544,196,866,726,892,018,125,
499,909,501,535,996,841,455,954,872,204,609,138,121,598,041,144,114,570,849,
340,910,361,373,022,248,075,876,226,136,577,222,984,792,248,874,570,884,291,
433,020,550,308,015,457,227,167,592,949,684,443,515,819,092,209,374,914,084,
958,687,082,136,693,256,171,522,132,838,838,813,210,416,442,892,677,012,965,
073,959,801,926,130,058,616,996,758,487,917,656,608,715,160,449,363,204,730,
762,196,596,480,305,957,011,958,085,402,704,207,606,225,473,981,390,087,333,
782,147,917,980,930,562,063,556,170,283,194,423,087,264,860,744,883,961,464,
264,925,546,919,373,196,263,652,409,395,807,274,237,358,690,595,549,124,420,
259,792,409,190,891,725,375,922,240,512,638,529,868,364,913,747,435,862,543,
748,819,388,564,375,934,690,514,015,774,066,004,478,421,329,269,631,164,618,
785,428,220,467,265,943,440,369,780,628,688,443,823,507,445,627,252,849,158,
787,607,573,476,415,977,664,548,854,221,340,677,314,265,565,631,253,484,994,
328,556,649,033,529,708,946,122,568,788,262,458,186,056,534,957,144,482,549,
542,203,545,421,756,860,161,491,965,541,611,765,433,819,904,055,481,584,933,
470,778,115,094,040,076,881,417,784,241,078,931,683,479,744,720,460,816,468,
796,172,858,591,593,173,945,292,117,855,280,411,886,794,290,170,868,396,212,
841,253,145,761,867,745,128,819,132,917,447,292,333,602,685,853,434,683,545,
751,906,429,060,324,043,141,719,033,677,092,029,914,029,452,924,245,462,885,
276,756,387,572,415,644,477,988,907,379,461,042,190,496,323,486,238,161,140,
407,025,837,701,753,690,500,454,279,260,434,085,488,279,203,866,656,138,537,
856,681,033,114,789,505,278,961,496,208,253,413,648,995,226,138,408,233,061,
563,788,064,684,730,444,957,109,672,688,430,683,431,599,858,759,359,239,641,
671,640,920,298,025,938,122,697,189,604,285,343,601,495,488,631,320,362,751,
402,445,275,293,865,562,003,134,920,166,117,758,994,807,992,435,487,175,910,
633,709,626,283,707,011,577,952,976,965,106,167,606,372,861,008,713,359,719,
845,540,252,681,421,456,660,711,352,748,883,940,336,893,291,589,003,540,999,
396,759,909,063,570,969,557,773,892,666,899,504,931,580,702,291,342,295,048,
639,246,006,816,119,133,651,051,641,128,653,129,734,909,982,463,037,200,177,
814,440,041,805,693,529,156,846,829,930,764,465,974,760,228,052,358,819,283,
729,281,445,289,642,996,495,243,160,810,318,422,180,086,704,298,104,191,547,
486,026,851,520,631,681,327,999,502,806,072,553,594,201,215,165,304,150,569,
988,292,819,944,793,568,441,007,997,806,689,811,435,813,296,418,633,091,334,
212,636,674,777,296,141,107,212,377,962,560,524,715,824,169,556,430,574,575,
333,162,425,744,370,686,634,596,352,183,178,554,301,084,369,662,126,381,402,
786,259,553,881,345,437,328,519,482,147,182,299,645,646,227,156,301,876,877,
548,480,705,366,144,198,267,260,423,805,677,104,244,865,415,077,626,355,670,
071,192,585,128,656,426,012,278,300,756,737,980,479,804,716,508,797,279,880,
866,699,217,313,545,417,452,914,627,117,222,478,262,369,669,329,820,126,792,
277,707,006,025,371,993,220,544,467,306,898,180,753,352,586,087,298,150,965,
650,121,151,510,057,206,424,182,256,262,654,047,694,131,663,888,272,922,840,
620,948,355,450,331,480,128,632,667,545,068,885,989,173,777,998,677,024,288,
684,723,502,860,149,867,889,157,099,999,887,233,962,314,051,294,997,461,275,
969,012,104,431,319,262,216,442,353,813,639,250,143,536,982,531,447,589,312,
207,033,361,718,916,556,314,813,365,351,325,290,050,650,724,280,702,140,825,
170,435,771,192,774,731,048,506,142,119,773,582,654,227,313,278,021,901,742,
385,027,490,193,236,630,807,821,813,177,790,643,926,950,400,196,043,358,685,
049,138,483,143,978,466,607,239,742,229,473,811,831,807,549,091,832,902,361,
748,013,580,914,430,956,648,027,298,263,811,322,291,191,486,916,058,819,132,
487,216,841,895,654,543,114,875,607,209,855,383,572,527,767,724,466,155,991,
190,887,299,609,768,486,434,070,396,814,407,556,681,891,801,364,303,677,958,
773,143,664,293,304,036,357,135,826,680,757,144,856,689,991,380,402,792,237,
789,660,557,170,853,714,735,525,017,879,842,527,887,347,031,563,796,800,996,
279,542,883,973,471,343,537,500,064,581,540,757,538,443,304,616,847,136,586,
353,119,027,137,587,115,415,003,060,368,631,502,451,928,531,781,643,511,826,
312,519,492,331,646,085,879,763,242,087,252,537,373,322,021,385,034,033,155,
823,681,387,114,667,972,081,360,924,853,608,414,020,924,332,935,743,113,130,
562,884,390,378,862,779,538,124,321,178,610,366,895,640,520,427,727,640,030,
312,576,398,651,692,553,016,818,234,017,293,118,001,928,129,189,724,025,454,
781,559,880,404,541,422,171,964,894,082,188,101,099,730,248,904,912,213,515,
132,690,951,752,144,873,377,554,889,554,226,334,724,573,269,721,237,895,683,
594,866,464,516,161,026,374,709,991,090,909,819,478,109,644,884,743,817,043,
026,927,160,459,993,598,710,136,810,054,939,911,501,352,684,616,229,789,432,
937,989,241,286,324,028,474,878,116,566,065,033,779,602,556,471,497,699,745,
637,238,093,172,353,640,546,929,495,214,529,230,713,678,323,755,073,375,840,
676,611,762,869,100,369,729,599,295,490,601,640,353,323,798,059,474,180,811,
707,585,757,099,737,835,404,058,112,432,190,657,286,914,043,468,116,953,598,
408,715,706,140,789,533,001,566,357,714,457,238,831,786,760,175,046,460,249,
039,100,742,890,777,424,720,205,420,813,532,453,100,079,483,873,426,265,612,
282,799,933,413,750,788,188,087,632,644,097,944,375,575,334,352,734,575,567,
535,433,498,982,123,874,581,404,737,291,053,252,920,837,214,434,881,972,464,
603,261,641,366,609,959,445,814,857,700,227,730,160,977,026,580,644,756,361,
968,796,905,895,204,119,004,367,368,663,969,333,983,016,734,949,771,059,942,
012,713,813,022,356,853,442,942,946,885,024,660,189,146,129,197,678,449,373,
853,369,077,567,134,773,979,852,645,912,794,540,002,205,438,426,493,791,464,
024,615,083,468,798,446,244,448,415,036,917,513,456,006,392,168,508,562,629,
835,608,368,806,129,598,671,914,704,143,116,904,860,152,575,126,502,821,210,
081,267,112,894,145,480,470,300,279,695,335,683,672,471,964,555,349,935,820,
433,945,929,246,103,105,015,409,881,265,940,189,256,970,501,894,516,800,741,
897,895,226,018,967,601,144,279,088,018,821,692,461,846,722,158,061,675,592,
739,369,966,902,985,682,906,908,425,787,319,831,356,894,899,990,931,888,058,
878,850,042,993,906,832,628,709,632,489,801,327,049,981,721,483,496,540,962,
276,030,479,979,038,101,081,539,264,179,581,466,239,424,299,760,147,009,747,
426,626,275,935,064,592,814,050,380,803,958,142,426,447,445,365,745,183,166,
205,864,208,995,828,777,867,858,409,032,066,576,555,109,086,117,064,990,530,
693,377,085,943,105,320,364,677,323,491,137,034,806,255,539,566,951,675,145,
117,843,460,169,159,317,786,412,685,690,354,653,502,835,383,331,286,613,734,
468,241,952,950,553,123,352,032,657,054,752,134,830,983,744,380,641,307,430,
326,367,855,021,820,070,859,476,557,938,008,848,523,074,949,638,451,300,148,
406,360,264,601,382,913,608,250,197,787,072,079,582,891,658,476,739,048,633,
263,352,616,313,188,512,726,238,179,160,584,024,504,202,443,600,114,949,910,
668,886,321,143,080,563,544,823,251,268,818,998,096,697,532,637,431,137,104,
587,346,053,592,224,194,227,805,930,359,049,759,212,973,945,537,807,909,143,
102,989,377,894,358,475,317,152,853,338,176,949,918,553,541,214,709,262,327,
274,938,128,041,799,260,283,740,012,917,653,008,874,003,009,768,908,071,200,
972,061,430,553,339,837,498,024,428,227,675,632,763,415,711,181,666,039,496,
075,152,048,944,977,089,070,036,091,559,514,324,578,844,613,447,114,777,184,
623,545,430,513,020,390,837,468,920,401,448,738,162,661,580,091,438,982,820,
040,645,958,117,959,996,481,861,883,601,567,752,813,333,354,956,085,807,424,
908,895,965,257,971,152,719,342,268,314,914,858,992,908,726,147,910,087,549,
765,821,368,941,362,656,776,533,989,012,548,596,023,201,129,467,546,767,564,
833,425,940,204,701,197,802,986,804,864,855,660,969,967,542,605,805,047,704,
862,086,873,208,283,138,193,113,645,856,385,231,339,912,779,397,099,601,067,
801,868,235,329,811,259,544,181,788,387,209,008,509,523,572,630,157,435,188,
203,737,475,703,910,057,163,212,252,811,295,215,993,865,829,284,994,541,178,
646,160,875,268,911,539,815,472,069,194,465,969,402,179,846,059,094,208,074,
206,445,512,736,186,279,989,823,841,469,933,471,616,525,660,963,718,355,344,
398,412,176,524,694,917,512,345,934,134,660,117,253,282,717,875,843,975,601,
345,148,829,703,513,921,555,950,654,560,228,177,905,694,514,625,145,197,843,
019,675,135,993,645,086,163,189,340,677,602,909,718,995,614,551,450,951,638,
698,913,593,630,146,091,550,425,748,454,292,083,093,717,596,311,857,455,811,
564,823,916,884,233,831,226,577,498,645,548,508,559,554,246,744,694,641,540,
178,826,840,635,752,084,077,427,453,291,376,419,083,596,655,751,177,726,473,
075,553,631,447,692,338,523,253,511,327,859,949,329,061,956,128,944,255,474,
941,751,451,034,938,013,306,311,644,352,616,819,153,568,700,405,420,070,472,
850,519,818,740,679,143,343,394,065,096,775,340,338,094,784,949,945,056,002,
146,378,638,229,936,315,772,739,325,980,669,642,330,457,833,117,089,313,659,
158,012,398,341,092,697,498,174,790,690,607,652,634,123,194,009,300,729,431,
391,061,859,440,468,407,340,236,390,603,129,585,962,912,742,999,885,543,970,
343,436,862,680,026,788,843,650,160,204,047,219,573,554,111,465,218,367,215,
685,422,371,851,153,844,816,652,280,153,122,153,073,380,954,568,774,723,968,
645,267,264,848,860,952,183,533,057,007,271,241,138,382,678,966,667,341,878,
663,170,666,079,379,123,945,492,927,332,347,659,365,103,100,944,613,373,027,
280,725,680,304,357,714,535,766,975,835,654,001,975,605,574,976,989,499,616,
391,263,059,441,302,657,337,524,005,908,495,110,079,887,596,544,979,310,021,
355,563,277,017,919,412,811,996,711,894,764,813,070,298,708,495,326,248,760,
840,662,810,965,040,847,617,743,417,752,726,941,768,245,577,436,409,740,656,
442,902,792,877,941,110,315,413,562,483,807,786,138,262,492,168,484,467,099,
962,241,202,426,783,391,571,410,532,899,186,863,696,225,742,641,126,402,629,
114,088,590,942,099,548,235,443,438,995,829,793,720,371,867,994,853,666,306,
584,565,779,609,938,343,713,497,481,499,237,677,174,976,179,540,364,777,804,
781,870,412,168,666,697,052,493,282,663,172,917,360,692,975,281,498,345,190,
939,493,668,270,325,623,777,918,337,744,299,223,040,319,352,786,017,281,752,
269,596,382,949,110,562,066,820,806,836,188,945,996,488,493,341,859,097,311,
039,656,343,234,012,350,686,450,392,409,109,865,003,796,095,704,497,305,901,
079,071,715,528,120,070,452,198,397,098,311,917,935,442,856,010,270,175,989,
288,651,531,447,604,715,608,082,892,029,778,593,390,986,161,402,615,701,152,
642,989,243,494,282,596,557,685,604,673,481,984,829,487,780,503,913,099,114,
952,706,815,101,965,927,911,475,835,341,686,496,954,255,062,318,398,772,085,
427,214,842,286,825,304,450,939,591,148,971,584,615,108,532,773,852,433,687,
700,736,190,360,321,855,304,422,075,822,284,228,075,623,373,758,553,213,970,
113,478,964,155,148,304,258,522,286,069,342,712,079,073,007,355,850,637,727,
577,486,732,777,829,478,951,681,833,121,045,696,356,595,592,195,900,639,011,
257,227,124,888,702,249,375,258,421,803,560,843,145,029,810,585,890,340,217,
421,964,575,779,488,358,612,876,468,506,836,163,658,594,983,862,108,703,385,
272,497,877,381,404,884,799,682,768,069,527,315,873,972,367,509,599,976,054,
751,002,976,865,947,766,701,182,488,833,580,693,998,854,254,942,732,537,887,
656,634,887,765,024,032,090,510,167,310,735,635,964,218,801,111,196,342,549,
487,978,551,457,484,756,349,433,003,977,201,852,833,289,217,952,448,613,260,
828,821,263,673,081,237,496,620,396,986,981,105,675,819,674,949,921,033,825,
446,528,183,426,456,180,487,561,676,651,673,709,897,934,828,629,470,033,978,
164,775,791,170,704,969,641,961,847,568,667,922,500,983,067,393,494,652,362,
908,747,802,077,273,257,126,618,940,306,979,188,614,581,154,603,761,630,423,
364,207,957,787,507,448,096,387,876,390,045,743,054,131,247,758,306,810,620,
936,222,707,668,069,654,849,075,350,675,033,811,793,024,786,386,378,648,457,
348,255,205,927,385,450,773,968,931,662,184,915,018,605,858,688,564,938,532,
293,238,069,764,313,463,118,052,457,422,116,770,142,702,083,185,214,138,726,
866,840,089,533,871,692,776,748,421,816,756,140,765,922,976,348,947,364,239,
931,352,515,361,386,680,144,049,417,235,171,695,841,723,668,878,530,665,855,
246,862,953,061,353,749,772,347,721,442,136,838,758,496,652,663,116,914,958,
863,359,541,128,350,525,022,207,783,380,082,134,546,328,215,881,222,171,109,
766,365,780,789,416,974,619,018,217,605,524,850,415,589,100,306,263,721,915,
730,383,682,688,430,797,640,899,914,299,294,167,710,062,000,020,091,111,165,
989,669,011,918,083,332,344,090,913,280,259,295,636,279,806,588,940,754,084,
498,746,825,586,352,863,973,633,856,401,621,882,433,256,908,261,869,915,336,
246,609,268,571,621,214,319,794,887,894,651,736,580,997,250,568,093,541,718,
518,496,670,037,493,799,309,502,652,605,611,747,387,596,011,656,223,003,156,
892,312,868,443,698,878,768,437,036,804,651,090,597,087,297,715,613,582,351,
435,500,546,829,908,875,990,357,970,154,194,076,630,177,212,070,922,021,195,
229,027,977,068,808,736,671,389,575,575,518,512,996,144,949,273,345,193,714,
992,908,369,481,851,144,970,775,514,440,100,192,428,543,099,747,576,361,227,
051,264,217,534,628,248,379,463,800,936,169,677,384,450,253,896,919,297,403,
288,397,363,603,911,393,547,206,866,701,975,117,468,088,162,987,962,642,422,
099,181,345,054,123,941,689,784,412,457,000,038,317,615,769,546,679,179,988,
949,003,021,992,479,752,871,151,118,522,958,634,395,130,099,393,868,642,322,
007,275,547,147,765,088,337,272,145,160,075,459,053,245,428,703,151,519,141,
680,284,564,380,551,441,356,511,637,812,651,148,905,736,771,317,426,053,049,
116,109,840,356,641,439,530,298,938,626,685,824,476,038,469,440,673,304,070,
392,976,296,429,045,902,315,374,322,381,227,676,293,565,024,709,406,272,735,
622,184,089,095,925,540,483,917,866,915,296,325,983,884,255,955,881,244,471,
076,217,352,882,107,668,680,155,566,940,405,223,116,119,926,494,619,645,296,
275,529,007,370,299,597,277,984,574,590,818,177,924,685,225,507,976,813,694,
883,267,544,210,716,234,056,454,181,127,530,976,894,174,308,006,171,354,412,
982,512,809,126,869,188,843,997,759,276,791,653,759,053,958,631,517,692,825,
585,718,170,127,882,774,757,829,506,414,996,343,904,662,387,731,956,082,721,
706,679,384,153,607,336,793,653,841,394,300,830,213,896,254,842,859,196,624,
054,574,778,333,011,957,308,485,506,403,126,461,414,342,951,587,834,453,771,
768,192,241,188,352,237,118,855,413,807,804,698,412,904,118,255,664,288,138,
109,819,908,673,455,050,560,859,028,251,888,559,425,448,889,226,923,924,390,
365,981,224,503,795,250,836,093,551,784,103,418,598,316,652,627,740,050,291,
221,979,698,224,820,342,188,610,433,465,628,997,334,387,312,493,403,274,271,
843,264,996,330,203,947,669,077,548,203,047,376,834,815,019,669,737,807,261,
740,958,532,717,930,205,886,766,248,432,830,965,649,592,300,810,202,492,573,
500,943,119,745,655,533,877,754,674,295,227,871,122,115,293,122,440,945,016,
169,209,145,823,104,924,194,822,248,636,317,833,621,493,676,504,878,445,642,
699,995,769,602,124,064,478,938,805,036,913,657,883,690,069,058,060,438,078,
273,398,600,067,617,352,327,170,864,221,499,556,648,164,514,127,538,485,458,
090,452,118,026,464,986,622,211,403,173,942,123,006,020,734,057,737,126,860,
193,247,085,183,177,862,663,497,924,873,883,325,322,368,537,058,119,749,418,
348,396,540,363,617,500,092,427,761,353,763,634,059,487,922,068,664,671,023,
746,464,360,381,670,673,131,317,104,940,925,769,120,063,389,425,320,421,274,
101,298,245,381,958,311,333,448,212,603,654,493,429,275,276,319,977,822,207,
390,625,240,151,237,224,647,858,499,913,912,674,428,105,145,305,013,543,513,
879,289,837,051,909,227,055,312,112,333,980,068,218,645,788,008,463,060,422,
383,901,430,856,481,659,871,977,910,838,188,769,520,883,010,024,465,876,355,
804,225,219,426,785,353,048,808,222,217,708,682,685,616,305,462,851,677,964,
717,830,725,664,795,963,734,636,774,423,575,115,935,727,296,669,783,793,903,
722,362,003,376,541,833,645,929,389,970,063,509,147,655,125,718,162,737,462,
104,321,042,037,726,660,378,563,397,794,858,965,797,065,274,321,684,830,068,
169,358,716,396,236,937,260,109,997,650,941,465,289,184,371,993,768,472,472,
585,147,698,199,352,687,729,983,310,339,723,087,627,363,797,198,484,830,756,
513,538,428,877,217,717,080,479,365,523,405,390,075,344,044,109,613,733,207,
110,722,018,837,480,008,158,832,194,784,606,404,184,298,727,097,673,684,819,
695,417,178,257,310,868,623,033,595,414,446,630,069,104,258,283,707,743,217,
285,360,429,143,871,910,304,666,809,259,200,417,468,045,988,714,482,974,783,
501,630,528,659,937,263,017,838,239,714,475,445,827,005,564,948,017,698,268,
674,177,306,053,227,376,652,055,805,102,859,986,087,720,506,673,716,242,980,
145,710,176,197,352,588,313,159,876,062,737,479,273,948,611,680,335,387,060,
502,860,563,765,137,990,889,002,976,132,516,342,548,837,531,043,517,517,286,
702,406,724,380,548,302,166,421,548,241,598,811,987,037,047,744,549,912,248,
409,181,304,543,944,752,826,160,405,497,461,986,336,738,009,520,349,880,224,
030,778,936,796,609,220,547,583,002,759,304,304,233,902,289,543,715,197,801,
049,240,821,660,638,273,773,644,524,837,684,021,930,392,444,173,027,897,746,
693,096,414,967,380,429,787,714,530,876,451,054,152,071,146,000,743,507,681,
122,036,927,288,264,604,583,218,942,688,938,020,010,162,377,377,745,705,432,
219,823,447,218,202,179,345,875,538,759,236,802,278,280,789,325,342,727,183,
370,762,844,552,416,620,726,361,476,572,135,934,751,960,625,171,011,522,098,
682,277,595,590,715,243,246,583,449,251,302,913,751,471,281,456,329,660,404,
543,602,881,471,674,328,080,211,434,489,239,915,111,139,850,518,894,849,875,
451,938,618,562,846,959,055,191,552,307,381,684,466,564,451,992,823,935,860,
892,260,260,934,471,756,058,669,721,444,225,763,489,013,312,947,661,067,603,
508,869,649,773,743,677,155,087,391,478,845,411,041,461,652,795,273,780,018,
375,571,418,963,291,941,071,128,404,829,965,129,119,723,249,110,086,028,417,
658,229,084,964,543,687,882,125,562,199,015,128,506,539,503,623,188,466,755,
781,375,823,870,601,057,695,401,337,846,981,098,375,101,575,248,086,109,275,
856,500,571,962,608,768,110,607,998,049,100,049,389,843,666,142,377,821,274,
479,572,776,675,733,986,867,346,204,765,718,154,935,150,355,733,452,856,814,
286,493,786,846,894,476,261,696,436,602,835,173,474,157,273,853,515,393,680,
738,723,520,434,489,069,491,915,777,224,636,301,538,943,858,721,842,007,512,
755,482,480,583,875,842,047,042,164,808,341,504,016,700,702,995,766,121,213,
167,301,593,440,647,857,594,064,567,879,330,521,817,538,431,939,005,990,169,
625,985,228,639,711,411,750,044,287,849,386,580,507,525,453,380,202,207,481,
063,586,335,182,264,093,360,490,484,664,333,949,131,905,754,419,343,594,049,
620,278,418,391,950,798,449,763,681,848,228,626,990,752,948,058,856,251,261,
927,944,765,419,254,952,375,297,464,618,806,840,609,780,720,904,570,924,133,
213,454,307,104,611,109,241,374,646,639,887,435,256,802,184,430,100,869,995,
084,896,281,756,286,935,185,243,714,515,111,699,972,726,588,464,506,170,819,
236,514,400,040,948,099,780,260,815,262,919,899,288,957,041,879,297,214,422,
205,445,178,096,636,623,276,898,793,053,530,540,126,095,650,815,588,351,409,
860,671,628,310,913,752,997,749,227,569,275,669,887,348,248,240,053,927,064,
977,763,116,375,889,399,204,276,885,057,708,389,356,636,199,440,899,449,592,
128,574,199,330,100,970,108,023,529,369,611,474,842,879,399,279,609,510,933,
408,006,794,679,982,381,682,539,726,743,877,465,677,847,644,211,776,383,223,
150,213,628,142,144,364,079,121,134,945,084,953,376,917,129,103,575,594,012,
531,237,429,992,099,436,294,196,464,487,854,615,302,488,452,552,119,448,932,
360,071,305,828,627,826,395,756,050,950,605,476,549,013,677,702,053,366,890,
326,952,408,154,098,878,253,242,890,525,166,718,405,201,453,958,879,299,145,
928,298,668,912,357,950,928,360,390,662,580,191,014,872,221,311,600,271,409,
768,665,390,695,048,399,888,041,318,061,137,734,438,577,807,361,883,681,811,
958,065,917,173,074,833,789,547,316,203,349,865,931,987,248,300,503,473,733,
771,711,725,909,652,832,347,353,701,706,322,224,680,113,584,801,216,972,239,
340,048,083,108,912,734,411,067,193,092,330,693,384,559,964,284,379,015,803,
293,125,343,636,788,037,381,595,877,178,476,465,411,202,864,811,041,177,878,
359,383,987,211,699,742,604,909,292,259,258,818,615,970,946,391,924,015,756,
146,529,258,758,853,111,149,189,908,752,650,958,242,679,855,454,243,658,681,
442,135,563,991,720,884,871,507,426,633,285,767,794,050,810,351,693,067,685,
937,797,490,538,325,996,609,988,663,250,035,381,280,461,132,599,625,016,482,
438,602,659,283,137,385,713,412,998,824,455,307,592,712,940,108,740,770,256,
138,931,319,652,128,657,852,002,455,983,704,493,646,385,465,815,678,354,632,
377,967,521,790,847,291,597,395,407,139,585,155,577,556,044,854,813,710,843,
529,435,860,084,617,299,861,811,836,472,890,331,259,627,270,257,343,582,737,
477,597,229,301,372,583,022,895,498,160,577,592,137,843,837,418,727,185,986,
393,674,504,141,433,726,543,335,033,644,360,796,287,999,703,933,246,332,942,
890,498,115,642,463,596,335,874,149,897,282,383,410,128,237,580,221,657,595,
574,406,438,509,024,061,500,444,849,570,810,384,267,060,687,897,989,461,421,
233,272,595,771,333,073,364,473,990,891,407,292,016,869,123,152,012,530,432,
578,748,035,525,424,518,960,544,377,411,281,084,963,206,348,990,609,516,092,
014,339,298,462,949,991,196,804,019,168,740,044,750,240,871,815,064,426,955,
787,256,209,820,253,141,481,143,971,852,093,124,291,853,217,452,507,811,589,
956,181,372,471,215,851,751,676,290,096,592,900,921,613,911,277,827,700,194,
775,678,077,218,089,242,209,932,457,300,460,743,464,566,041,732,408,368,660,
518,910,507,272,108,561,223,003,412,266,951,761,372,031,085,106,190,952,923,
655,018,973,780,020,611,215,604,727,238,357,132,377,833,635,504,216,771,765,
751,285,444,799,048,876,230,305,998,268,599,316,667,780,110,829,067,745,646,
331,337,649,130,291,240,729,984,829,670,990,054,921,542,512,717,437,913,470,
856,611,697,519,976,580,330,674,552,195,106,147,884,351,259,663,948,284,463,
833,861,175,895,408,241,467,827,008,135,713,753,229,055,805,303,749,050,997,
209,101,490,196,624,134,917,006,226,766,037,031,533,793,735,255,467,907,212,
670,159,059,705,274,630,984,821,931,026,768,871,754,989,991,389,282,722,204,
045,850,859,833,816,887,954,580,920,548,225,549,130,965,530,421,302,004,737,
458,879,829,879,547,552,296,080,267,685,435,683,714,878,578,153,302,936,897,
329,694,769,066,271,511,892,643,758,263,142,967,755,261,469,956,474,624,573,
505,994,032,599,030,349,967,612,991,831,828,456,673,864,241,973,843,843,734,
799,043,844,838,712,333,145,369,954,185,309,412,712,801,173,441,476,053,722,
984,139,283,037,892,091,357,046,121,086,133,192,602,767,287,516,293,737,010,
739,570,114,133,501,710,902,406,265,654,641,936,036,218,233,183,713,996,135,
107,659,266,398,336,862,872,796,031,611,060,429,700,717,884,523,663,266,740,
631,233,148,503,049,157,800,387,589,535,540,408,767,985,217,091,990,773,316,
914,044,262,093,678,847,083,013,245,149,299,835,213,353,315,917,064,307,708,
945,807,571,182,648,260,947,358,924,730,496,284,681,596,407,296,028,121,241,
451,471,758,209,000,388,507,301,205,557,716,039,430,915,970,285,834,085,978,
234,372,787,185,657,273,889,256,746,871,908,647,535,124,583,972,179,725,209,
813,981,738,567,124,598,894,807,821,537,402,305,466,039,423,004,457,983,353,
689,470,345,526,510,823,264,504,107,234,228,133,935,444,380,915,671,757,458,
060,852,381,210,927,354,898,422,625,279,160,767,617,367,706,408,332,549,562,
343,852,837,717,054,067,816,355,867,063,123,682,818,572,103,205,573,971,303,
523,110,169,074,753,331,163,583,185,345,097,533,762,905,873,395,068,671,065,
697,098,758,810,994,800,342,151,224,300,242,840,142,050,728,797,769,176,114,
488,465,555,354,310,771,475,499,123,874,158,642,611,139,814,331,615,846,731,
024,733,244,683,710,293,161,237,405,876,033,927,908,981,752,613,788,853,906,
687,081,418,671,935,277,102,868,457,055,000,724,127,370,905,370,538,192,543,
269,078,733,342,098,861,995,812,730,683,820,204,184,145,896,926,618,226,355,
564,304,555,390,508,212,801,203,501,767,412,915,112,959,854,671,243,769,953,
715,251,062,455,604,615,426,800,353,596,605,996,838,576,164,462,066,297,172,
167,892,252,354,547,893,808,930,780,460,524,558,488,154,386,099,947,035,056,
016,310,587,561,799,763,725,819,164,973,117,586,452,578,046,762,982,305,053,
814,324,696,982,827,648,195,887,309,616,621,345,872,251,417,981,156,894,130,
865,870,493,410,558,052,691,743,263,279,012,182,999,171,938,620,394,561,243,
606,734,043,468,506,055,571,379,865,312,090,279,775,886,487,208,069,840,785,
531,169,862,218,756,582,437,840,394,541,383,924,378,999,517,633,950,114,008,
655,870,440,599,885,615,292,703,601,372,501,049,565,340,975,337,332,199,301,
339,600,436,765,632,647,397,426,892,927,596,231,950,300,688,380,118,573,966,
485,284,048,228,986,507,607,654,824,883,594,533,261,559,575,661,295,693,758,
371,610,803,442,061,750,762,935,122,788,755,727,162,708,575,944,101,976,331,
693,970,479,693,666,575,031,359,676,847,426,532,906,178,303,807,577,434,396,
914,977,030,030,194,707,977,602,004,651,625,032,477,363,667,106,933,483,857,
261,859,160,697,176,289,765,507,495,539,462,635,386,905,241,293,713,945,496,
971,616,081,664,159,010,918,749,964,875,683,565,414,198,237,681,961,540,245,
270,709,358,763,546,304,694,266,683,367,479,417,018,917,741,221,120,378,340,
213,832,237,915,362,467,519,499,998,441,052,993,428,163,248,334,873,182,867,
433,326,931,637,415,800,543,068,174,198,705,003,138,571,981,561,086,498,153,
130,640,460,282,384,938,500,603,017,022,070,541,559,403,668,567,159,760,299,
094,121,083,339,359,440,357,409,660,802,391,015,927,680,702,271,477,860,871,
574,904,080,984,505,971,558,579,933,267,709,327,032,885,920,311,209,484,487,
550,478,308,670,774,503,795,863,183,449,047,010,393,610,188,970,393,975,374,
603,459,893,721,584,042,832,116,922,192,348,263,925,201,493,982,544,743,739,
267,687,136,269,923,037,182,318,115,358,508,219,320,666,903,917,881,274,870,
816,107,144,214,205,727,644,605,004,312,380,350,054,520,944,926,495,133,687,
341,806,299,660,895,353,010,546,576,392,516,244,427,328,631,654,303,676,137,
111,268,255,727,773,658,434,066,828,744,346,149,719,095,287,839,994,188,122,
140,675,836,353,745,017,305,857,053,102,193,044,791,634,143,441,159,573,475,
444,482,294,295,270,347,663,749,767,581,478,045,373,482,689,454,911,146,656,
180,665,762,804,568,727,706,293,606,856,082,450,589,415,337,551,221,110,692,
298,836,970,597,699,681,039,126,387,265,700,250,815,808,306,990,302,189,024,
978,783,885,674,326,286,832,852,857,875,052,356,311,242,938,944,218,389,504,
348,189,544,056,920,540,116,102,480,809,236,704,448,529,934,834,699,347,970,
949,133,168,386,144,585,584,610,608,658,905,347,632,629,498,189,182,628,826,
406,699,157,542,933,427,954,314,159,059,730,107,634,817,964,584,850,618,998,
075,956,647,301,568,215,860,594,605,932,207,591,208,316,044,582,652,304,373,
208,481,994,341,899,844,661,524,482,749,462,286,137,843,098,176,747,918,685,
896,776,317,373,112,307,794,639,286,995,594,033,683,869,405,938,551,818,907,
934,800,521,519,369,203,000,775,747,841,950,964,456,187,520,448,109,085,951,
394,325,581,220,174,129,040,780,535,549,229,436,720,583,629,956,255,262,008,
494,639,101,292,628,189,163,827,402,820,929,396,523,555,242,221,222,234,510,
364,180,179,911,709,493,321,980,843,449,502,026,798,140,833,586,531,608,938,
917,487,322,783,146,333,927,921,945,852,077,141,459,292,873,721,545,772,018,
312,412,009,890,453,530,607,939,983,559,894,295,392,014,086,776,981,691,294,
152,222,223,543,355,518,314,074,049,570,757,792,066,695,260,695,004,007,992,
333,023,250,229,081,538,095,606,771,325,008,028,661,230,812,680,790,106,043,
001,549,489,821,221,639,984,874,114,976,432,042,973,456,307,769,599,115,916,
807,319,968,611,880,564,467,757,519,657,657,487,823,084,319,948,068,094,864,
679,928,192,931,623,381,618,300,161,244,980,036,778,874,732,880,939,339,014,
081,661,081,321,657,342,007,755,171,198,717,739,425,492,999,731,662,708,868,
067,495,341,940,225,438,383,420,025,421,480,579,730,676,221,746,449,906,514,
680,943,812,448,008,769,021,693,918,321,956,532,672,740,669,540,299,774,657,
181,109,297,757,299,679,473,616,782,900,392,173,255,587,042,674,893,087,586,
235,082,477,355,717,461,880,198,144,490,232,821,131,541,267,382,514,312,862,
440,450,609,995,468,314,574,521,144,711,006,646,339,942,211,063,525,084,931,
802,117,513,188,545,265,452,897,699,799,879,442,166,416,370,199,987,128,974,
515,886,526,228,834,552,458,056,698,689,619,825,922,861,342,688,629,648,460,
414,720,630,236,654,199,291,436,804,188,736,141,010,972,290,737,870,940,434,
676,644,954,414,300,481,961,044,355,182,107,238,138,495,938,914,571,637,741,
215,093,160,304,796,615,446,471,480,752,322,282,277,241,222,143,578,806,387,
377,792,362,720,292,576,334,877,296,798,149,939,981,834,464,462,343,507,030,
828,945,905,889,127,766,125,737,152,215,398,670,788,710,291,015,977,492,011,
991,570,154,243,562,735,380,470,096,306,307,976,033,628,000,229,872,674,937,
442,142,824,921,296,172,502,700,546,108,353,741,563,190,123,021,642,663,997,
372,960,819,996,157,615,928,289,637,227,355,381,933,208,034,765,024,070,200,
332,028,219,629,193,539,614,836,680,192,778,668,113,519,749,375,243,761,568,
632,401,147,508,253,036,698,377,810,762,207,581,932,733,143,650,030,624,569,
107,636,725,077,951,517,452,142,250,789,626,668,397,203,229,587,164,899,060,
965,549,520,729,047,708,622,816,745,387,866,460,474,362,855,584,171,294,946,
212,481,136,691,986,299,366,325,887,058,812,924,624,632,351,211,531,382,384,
974,930,394,876,053,741,124,684,349,872,734,878,202,936,556,957,244,742,906,
114,486,912,241,152,778,537,495,836,937,889,201,042,827,814,409,102,922,664,
156,495,976,362,142,899,553,247,950,636,195,327,603,990,024,755,129,945,697,
809,009,440,549,126,942,462,304,087,667,577,668,379,150,908,102,902,382,448,
621,007,081,545,189,384,735,486,875,201,955,663,762,535,143,552,069,067,004,
832,301,205,672,132,097,998,537,279,772,122,853,729,382,106,143,736,228,558,
267,940,319,848,793,970,733,596,451,685,376,592,136,041,986,825,214,445,479,
045,085,595,330,883,279,020,495,785,511,573,478,778,782,400,280,619,745,020,
504,890,224,983,477,596,093,028,453,983,840,377,977,931,884,976,232,827,206,
292,448,461,369,850,618,036,408,935,987,891,026,377,004,111,478,345,755,898,
024,895,497,827,879,162,866,565,771,449,199,797,730,951,960,040,756,659,540,
139,835,388,108,044,763,229,603,981,295,480,109,995,504,151,448,958,928,537,
488,109,090,189,894,256,563,159,274,511,220,189,269,510,976,474,323,320,076,
908,915,239,016,572,806,195,247,418,954,637,651,394,405,216,191,764,715,275,
130,133,772,594,095,532,289,178,410,255,517,432,950,322,763,683,817,781,935,
689,287,342,217,246,057,777,773,052,761,793,634,149,863,905,945,785,851,970,
216,621,190,100,600,770,742,368,354,701,211,485,547,693,285,261,693,432,277,
229,115,171,378,259,157,240,500,868,770,026,470,683,642,610,446,704,321,749,
394,534,422,818,104,108,453,534,021,359,671,107,091,517,415,923,050,174,692,
078,522,900,368,197,309,269,991,317,502,287,823,193,741,954,082,000,540,744,
685,819,428,454,193,691,622,045,787,051,402,772,926,635,254,290,929,447,699,
462,848,558,514,176,324,324,132,439,814,754,239,410,803,859,444,102,504,478,
979,573,720,941,006,178,929,021,975,204,981,916,638,054,524,958,050,893,813,
210,775,703,617,968,466,393,147,957,604,595,360,690,449,461,272,964,899,125,
634,845,598,532,422,840,886,147,604,898,449,240,014,186,439,182,524,379,222,
275,705,676,972,261,802,783,830,281,102,548,800,060,901,023,260,771,473,839,
350,756,610,962,716,738,798,846,490,872,971,681,543,358,978,299,635,105,183,
430,395,697,968,593,576,844,240,012,213,106,742,496,504,162,536,859,438,425,
772,656,725,674,204,533,141,204,426,537,353,640,505,221,363,240,441,556,566,
675,781,130,370,606,130,313,764,279,435,758,283,885,530,123,778,272,907,721,
000,309,752,225,909,732,315,095,874,763,280,634,148,123,406,795,403,319,308,
128,517,969,248,337,016,100,532,163,578,447,841,557,587,089,862,858,300,250,
653,898,223,875,540,542,407,537,411,725,106,722,657,253,755,830,679,208,906,
403,848,233,925,848,547,804,760,796,454,463,692,778,298,736,937,971,203,696,
972,720,515,039,368,256,518,460,115,605,250,662,650,571,278,760,142,370,605,
433,900,847,663,588,950,843,796,876,837,977,548,060,762,428,119,517,802,905,
756,962,698,494,662,374,612,509,009,318,162,537,055,722,711,679,298,344,846,
166,790,578,512,662,981,726,240,704,589,129,232,933,866,167,888,831,340,174,
811,587,113,472,377,471,377,672,766,244,209,894,387,042,606,353,099,769,907,
885,997,762,427,393,905,874,194,258,211,428,699,402,247,117,986,721,710,673,
806,198,399,455,999,002,039,822,087,435,724,123,525,983,886,219,267,387,546,
614,878,055,412,183,529,010,438,167,449,314,995,545,923,323,826,142,523,837,
976,892,916,941,445,238,405,229,943,058,882,685,755,388,982,919,056,129,333,
832,731,943,467,659,145,090,433,355,421,621,563,431,563,874,793,780,540,406,
681,302,661,107,732,162,451,327,054,256,764,855,401,482,989,760,816,368,063,
115,347,513,419,733,766,935,059,365,372,773,142,138,512,521,036,663,606,114,
512,929,310,255,635,642,727,099,431,139,705,860,255,452,407,656,486,875,727,
981,392,398,351,192,442,795,001,273,315,307,222,168,310,702,681,652,801,079,
546,693,314,156,069,617,354,038,396,489,863,904,691,610,397,365,308,387,621,
097,989,358,856,199,754,135,725,362,945,289,985,596,837,186,603,418,947,478,
545,597,187,917,279,757,791,313,208,906,886,856,178,437,951,132,081,357,089,
063,308,069,449,694,671,133,993,971,293,007,572,836,766,138,439,050,787,885,
363,937,784,011,713,378,207,524,900,999,446,311,864,047,823,528,350,325,120,
572,597,995,692,700,542,755,278,083,408,337,668,413,469,118,420,277,565,217,
494,717,335,777,956,996,882,780,794,392,548,000,427,522,895,840,607,804,999,
295,072,525,603,692,787,433,135,344,123,295,322,235,214,228,438,161,648,181,
709,956,619,344,638,041,851,016,981,328,247,368,863,616,942,793,320,056,994,
197,213,573,822,917,700,862,865,983,909,317,537,926,812,278,258,104,282,797,
366,402,920,847,926,191,648,407,512,688,993,278,414,267,524,940,670,653,271,
694,079,482,155,155,464,621,909,565,656,303,516,941,009,734,038,860,258,405,
083,013,858,904,449,606,727,099,351,957,465,300,362,276,444,727,473,068,698,
925,518,063,074,626,293,975,893,124,276,643,874,125,034,183,842,094,556,898,
984,885,162,503,241,714,031,031,058,333,910,025,398,090,674,663,373,110,052,
481,615,698,062,333,857,624,768,191,104,536,127,505,500,555,327,832,670,939,
088,966,351,993,496,590,487,638,453,781,345,200,212,912,907,619,980,738,389,
796,991,659,243,347,813,204,237,858,204,249,156,496,498,021,773,376,193,481,
466,589,267,614,634,067,410,894,423,560,433,363,604,300,699,021,922,760,124,
367,237,844,720,800,324,043,701,500,643,040,665,727,611,758,901,737,150,822,
039,027,649,248,241,550,229,657,451,867,152,413,792,889,179,273,413,840,012,
943,239,881,481,682,418,610,531,406,416,104,569,114,091,138,739,888,671,194,
418,319,352,394,665,118,851,708,573,350,114,911,422,604,805,048,220,270,508,
822,875,488,436,171,778,118,966,121,026,730,515,199,296,309,349,472,339,755,
591,892,449,317,501,429,628,267,041,238,584,752,811,557,859,023,615,451,322,
652,028,680,401,320,727,934,866,569,536,031,006,923,208,516,602,996,621,023,
687,451,040,758,156,552,264,436,403,842,802,648,785,812,787,916,632,729,076,
133,438,773,986,270,330,691,928,113,412,460,188,296,893,766,555,173,218,082,
986,260,490,570,320,097,455,786,932,542,790,681,840,869,873,976,780,415,712,
471,532,840,013,394,126,827,939,703,251,660,164,697,785,604,584,032,908,772,
431,654,220,061,423,993,767,605,289,641,039,964,349,334,413,487,026,818,696,
276,767,964,624,093,206,203,127,425,024,319,901,811,255,153,485,727,293,348,
605,347,889,749,330,755,268,772,183,526,290,269,467,267,812,779,627,349,710,
060,283,774,290,672,214,204,556,539,184,556,661,441,504,632,969,204,236,604,
660,697,358,583,544,345,384,285,419,346,065,322,990,312,841,350,542,510,079,
668,661,062,325,781,421,447,436,435,630,003,261,594,704,298,470,537,569,266,
329,820,069,336,846,160,744,869,748,172,472,384,607,066,480,341,039,002,119,
869,151,132,043,388,635,103,966,611,950,061,501,442,996,198,861,684,668,464,
956,948,637,490,788,885,515,087,781,511,871,637,725,505,012,474,142,009,746,
328,958,982,243,969,563,636,305,569,105,622,105,487,537,008,699,029,644,585,
023,457,729,478,049,739,988,807,238,772,287,059,305,026,306,048,002,566,442,
987,831,648,376,134,769,801,827,595,472,739,271,478,722,471,173,021,732,737,
194,721,922,321,504,986,660,318,218,436,430,626,430,436,629,106,367,830,380,
301,097,035,496,541,246,037,717,347,066,359,309,011,414,329,115,863,361,988,
446,037,020,674,955,121,538,695,041,151,110,730,223,947,381,821,377,423,208,
823,092,961,003,607,852,337,068,767,204,278,242,853,641,873,181,707,662,724,
473,430,762,355,956,766,021,212,563,357,659,902,520,493,144,431,029,451,306,
538,057,050,301,597,391,202,010,440,076,393,288,692,009,356,127,585,743,597,
053,865,036,150,609,085,186,706,708,935,675,325,449,987,039,063,474,674,772,
604,010,882,688,581,776,855,247,254,027,189,014,358,729,606,814,503,013,612,
094,451,769,550,969,860,432,055,743,625,041,861,749,121,024,282,032,946,067,
745,580,417,416,388,858,288,529,224,603,829,484,104,127,576,464,403,791,669,
140,319,876,817,138,874,251,877,291,682,138,726,590,939,618,228,383,390,062,
534,205,654,561,827,993,524,151,826,422,454,356,192,871,487,654,733,401,041,
908,543,494,534,516,695,350,154,292,547,086,193,322,730,442,435,920,853,014,
700,252,155,767,725,998,056,877,254,603,398,104,208,410,976,699,074,096,504,
860,077,246,287,990,259,531,889,267,356,744,159,298,179,028,796,547,669,597,
910,290,396,676,462,284,957,221,736,053,393,489,048,979,851,251,206,666,545,
513,124,882,134,000,519,997,518,510,113,892,720,160,157,894,169,424,146,478,
014,009,340,762,335,499,458,381,122,206,610,522,477,522,511,516,871,568,036,
500,666,873,800,237,070,066,514,722,024,017,433,714,322,908,338,418,525,870,
992,383,425,438,457,841,673,358,897,960,394,871,103,632,516,978,239,991,182,
050,487,404,627,660,573,139,899,444,990,670,481,517,621,368,297,947,851,860,
195,103,395,920,767,779,167,209,932,651,786,432,822,587,014,969,804,145,070,
887,259,414,843,080,140,441,345,119,433,082,596,582,710,904,414,113,884,363,
998,657,419,157,597,720,184,638,315,187,855,107,211,757,396,954,911,889,903,
649,318,360,522,298,997,615,687,981,467,905,526,803,497,937,111,422,791,752,
338,852,169,076,668,666,510,941,533,823,889,837,483,212,191,395,696,397,035,
657,605,944,846,584,649,367,323,796,367,836,441,755,046,989,173,153,121,601,
369,616,478,430,487,621,532,168,185,164,828,671,703,244,956,956,899,633,277,
598,081,980,255,496,405,160,523,751,404,383,646,154,400,871,182,268,537,927,
521,702,566,282,063,524,011,074,285,972,770,461,897,841,319,912,488,588,466,
063,433,785,608,788,133,277,189,053,468,745,614,535,794,074,432,043,249,999,
536,933,667,601,893,060,494,623,763,753,602,677,427,566,780,480,214,064,904,
873,343,888,529,890,583,355,134,766,945,125,915,157,611,381,954,699,982,176,
264,081,738,882,218,820,175,336,041,260,635,013,459,208,481,486,225,639,191,
875,945,510,287,217,304,673,078,805,254,209,087,544,720,356,208,561,719,990,
278,532,581,528,426,279,251,644,101,671,239,104,739,838,096,338,258,275,995,
048,569,292,785,260,650,650,588,605,865,762,442,957,168,302,754,827,763,833,
264,230,048,147,274,127,201,712,065,067,220,583,895,031,750,889,420,956,826,
051,318,619,283,195,417,639,071,634,948,480,670,811,754,795,197,841,498,053,
102,588,358,669,543,655,948,688,150,761,175,773,574,328,563,023,374,093,795,
959,240,085,778,135,446,637,561,031,485,183,604,079,159,782,834,461,468,240,
901,791,298,601,467,372,730,943,267,431,475,626,474,973,558,698,835,442,209,
023,340,468,552,305,045,840,525,856,480,268,134,988,024,852,608,259,701,295,
385,425,139,429,933,453,012,517,188,940,686,917,886,569,444,742,823,614,581,
478,423,851,883,833,365,553,588,207,608,856,272,614,646,650,806,559,433,080,
884,287,800,662,891,331,520,177,205,562,131,207,841,793,678,963,264,003,261,
376,793,397,404,250,176,683,270,142,259,608,217,533,946,006,947,137,706,297,
736,152,230,686,617,597,821,338,941,129,481,824,942,441,835,891,782,307,953,
207,443,917,826,357,351,581,002,812,932,549,112,802,423,152,562,232,513,390,
345,601,550,273,997,906,202,500,436,166,894,870,000,934,641,071,098,019,658,
676,384,215,078,058,418,581,693,014,847,087,594,772,715,337,106,978,303,403,
723,978,703,771,918,439,951,116,046,229,255,901,556,815,753,265,608,636,296,
666,069,288,281,825,920,262,386,623,914,385,452,870,889,424,325,542,440,967,
408,111,580,480,725,310,679,397,555,695,298,820,546,964,477,345,067,389,146,
124,823,245,846,002,376,160,794,518,584,840,572,924,897,883,272,048,191,664,
618,948,441,024,998,246,026,581,428,341,164,065,205,243,821,879,178,815,548,
803,080,930,888,577,232,976,944,992,128,280,744,196,342,064,774,673,058,834,
516,200,121,406,621,948,332,634,977,579,595,048,498,667,975,962,822,487,226,
576,155,084,636,040,779,971,212,156,076,518,226,592,809,364,716,394,442,892,
631,780,219,599,478,699,804,906,610,238,786,755,716,594,157,576,202,937,166,
577,094,267,299,251,183,367,760,110,169,444,770,399,761,265,793,747,456,639,
141,956,557,893,128,102,891,908,813,245,196,181,999,173,775,499,431,804,913,
667,391,923,287,804,227,689,021,641,314,452,013,683,615,413,362,363,488,997,
643,087,501,752,490,625,217,229,343,424,088,941,411,249,876,331,406,503,252,
160,628,626,725,525,785,847,820,646,694,922,304,177,981,572,951,852,884,293,
387,888,749,260,008,289,380,626,809,710,864,876,462,757,920,589,972,557,298,
288,991,242,713,261,392,007,378,978,876,353,698,093,406,078,125,016,061,401,
227,829,104,725,426,653,016,377,164,241,568,689,929,962,192,989,732,834,517,
895,599,131,566,574,757,549,828,868,820,369,631,807,505,998,982,505,660,675,
722,708,533,991,872,828,055,822,970,230,045,040,223,994,383,200,781,353,628,
078,698,451,886,394,801,831,158,361,367,660,340,500,391,043,284,277,056,084,
480,880,847,115,495,382,673,119,102,300,385,002,585,299,803,386,876,879,073,
390,679,226,149,704,303,469,188,328,723,361,658,062,377,826,565,779,199,814,
132,750,545,355,422,692,609,456,485,959,005,090,375,186,442,086,537,691,168,
702,622,087,283,880,402,803,660,467,194,386,710,435,701,994,705,831,256,647,
886,999,037,875,821,026,630,172,421,714,600,573,875,029,507,764,209,654,512,
636,684,153,899,240,576,188,144,090,297,938,795,338,248,002,693,687,375,928,
643,415,893,747,497,704,656,375,052,746,527,154,460,987,498,769,494,275,647,
228,942,011,963,991,411,204,077,338,094,555,763,155,918,433,160,860,168,493,
361,106,638,146,012,127,809,121,011,532,084,117,084,132,027,594,119,570,385,
961,998,830,391,618,342,016,009,390,040,792,895,761,162,400,226,204,446,031,
764,710,754,943,301,253,976,852,686,719,493,616,055,891,833,413,067,197,199,
427,046,663,220,161,321,766,570,915,110,546,318,962,455,788,525,791,131,368,
535,989,214,899,038,406,807,848,046,085,911,662,701,667,802,882,815,830,229,
876,799,680,421,426,322,401,902,310,251,079,708,254,762,089,836,124,181,809,
162,057,993,317,151,316,983,718,379,156,470,180,038,320,109,679,149,155,298,
918,191,326,079,717,043,304,532,527,321,849,023,942,806,702,016,776,674,479,
208,920,800,154,663,903,420,494,427,406,902,184,297,278,447,700,699,166,209,
550,646,691,563,692,090,646,574,306,955,820,621,060,177,559,991,422,451,965,
279,548,491,743,112,076,059,885,295,307,446,677,031,126,294,631,693,291,438,
472,730,631,860,671,708,267,994,352,630,027,809,881,834,025,512,461,243,232,
795,082,187,070,536,148,451,788,715,450,436,675,140,716,973,268,721,443,148,
853,244,240,574,118,323,818,792,712,421,280,648,787,404,224,705,145,957,397,
079,422,001,387,820,524,052,156,985,885,091,066,074,925,893,955,353,077,175,
150,177,973,027,922,219,323,594,505,458,321,747,772,086,064,798,863,285,937,
981,678,523,504,637,434,344,153,090,279,901,867,332,203,930,035,216,876,690,
469,617,488,615,424,574,159,847,716,830,144,945,139,228,956,467,512,629,242,
622,661,512,500,115,274,316,983,658,161,450,879,192,636,377,918,593,654,304,
489,825,331,407,418,948,845,064,972,528,570,160,983,788,166,999,949,515,984,
412,281,716,214,173,666,746,962,557,579,030,205,439,507,649,716,474,643,733,
107,400,192,288,046,703,525,688,145,188,475,452,928,920,015,656,474,220,201,
464,955,545,426,575,584,525,691,441,989,669,838,941,872,091,449,328,789,194,
244,884,652,482,217,161,179,821,334,194,425,060,034,273,719,270,893,467,648,
464,805,826,055,758,298,516,159,490,313,776,384,128,538,949,495,385,093,723,
663,001,580,864,566,433,775,786,574,780,334,675,088,508,553,581,552,595,571,
506,270,878,209,629,863,322,199,710,678,023,352,521,926,899,555,777,117,044,
774,615,244,742,248,254,768,559,051,777,223,994,316,510,058,253,139,772,625,
235,233,697,211,721,852,720,114,350,413,563,726,767,709,173,908,463,054,222,
031,774,632,046,631,881,027,864,450,140,243,825,957,799,340,411,272,872,986,
644,429,101,013,482,673,368,411,408,855,983,063,320,901,848,963,487,983,509,
153,207,867,500,571,787,968,827,523,965,668,381,274,617,736,017,214,325,217,
236,631,038,531,796,939,758,594,263,860,404,983,745,883,647,299,453,720,529,
245,328,281,973,886,500,759,082,232,290,179,194,160,273,327,175,924,105,257,
444,098,663,523,809,296,527,011,771,255,943,078,898,679,317,786,283,754,132,
685,569,269,835,642,296,228,912,077,192,893,849,059,379,987,261,856,138,452,
719,762,872,594,088,792,397,106,010,042,474,344,707,248,205,120,946,081,376,
391,440,241,346,333,573,684,697,398,563,304,172,553,970,876,558,561,593,833,
374,544,768,118,286,767,807,790,042,659,431,759,578,385,320,281,813,594,766,
988,545,286,720,636,713,101,547,680,369,142,698,370,244,488,849,047,585,431,
025,780,176,405,944,002,230,734,283,974,626,703,310,680,935,503,601,625,164,
628,556,127,659,076,105,716,499,570,158,630,672,562,609,791,642,901,303,108,
331,574,557,696,056,535,149,536,681,446,705,547,830,295,217,513,508,952,466,
935,108,436,476,398,270,086,457,410,336,388,543,525,549,143,279,131,611,043,
682,749,913,118,297,690,893,724,606,590,884,093,986,040,696,905,709,025,938,
416,218,656,936,458,720,369,486,166,162,464,223,891,650,196,277,216,933,174,
339,082,187,353,943,249,097,119,337,185,686,622,605,219,362,470,949,232,138,
542,694,108,505,001,840,964,508,108,625,498,070,685,047,653,990,513,587,586,
938,364,915,145,816,676,929,364,177,994,944,577,018,769,217,844,764,231,196,
920,810,715,823,652,940,194,377,847,861,999,004,646,080,664,375,516,532,098,
596,191,367,806,219,652,196,024,303,651,002,278,635,849,268,295,703,716,085,
034,685,298,969,461,577,430,320,596,012,496,924,776,658,543,115,957,786,790,
114,540,643,098,424,943,353,472,535,296,119,455,697,897,394,821,248,689,721,
082,297,671,576,741,330,496,461,509,855,219,543,145,350,887,499,746,510,179,
466,383,524,729,072,528,314,256,665,237,003,993,733,467,807,041,610,608,842,
123,944,641,728,423,477,083,706,007,833,046,334,438,584,112,098,195,150,809,
219,997,936,036,285,348,195,012,029,766,654,825,925,305,188,602,819,378,820,
068,601,502,368,397,528,279,063,830,171,429,696,939,025,875,655,760,406,450,
430,504,263,722,337,927,298,412,724,341,041,841,015,892,241,687,212,315,079,
769,946,723,817,126,580,684,809,316,638,247,402,541,407,879,578,271,360,287,
448,118,879,925,457,008,897,144,716,886,400,939,763,582,230,904,440,070,597,
674,649,490,308,360,101,373,932,293,345,665,416,997,700,898,026,922,793,324,
222,320,857,611,783,419,660,392,379,924,151,823,953,912,005,882,260,280,179,
483,516,819,977,462,030,957,135,166,948,008,574,225,760,902,952,096,898,822,
861,704,069,544,953,115,368,986,516,465,170,179,931,848,913,483,856,253,756,
213,507,830,997,971,177,772,340,535,999,653,573,117,393,589,122,857,101,570,
100,101,612,259,014,963,581,306,999,953,909,767,182,910,693,222,633,568,450,
005,563,251,786,233,232,798,834,124,519,878,153,444,179,677,597,640,911,894,
802,069,688,871,539,412,017,706,583,165,260,531,698,610,118,995,873,761,069,
602,558,577,047,872,799,230,537,954,710,794,008,527,126,546,905,815,335,448,
695,753,681,811,747,435,634,196,885,153,807,584,149,174,267,438,230,258,289,
747,869,793,168,705,480,442,603,903,697,021,130,720,843,651,176,731,333,873,
530,188,303,844,113,740,007,985,633,537,759,400,083,739,230,521,613,804,641,
905,809,698,260,314,645,113,996,390,841,828,451,354,548,248,583,355,014,098,
267,520,687,089,571,791,017,397,202,268,002,725,404,447,347,483,731,488,486,
543,211,039,719,645,546,520,979,276,777,721,016,660,964,362,214,156,230,022,
364,185,927,105,820,373,869,489,037,353,768,427,025,534,657,539,652,993,724,
950,917,357,307,620,495,642,360,684,690,961,547,287,558,077,820,041,107,785,
932,597,413,929,358,001,312,283,535,608,882,264,447,581,668,898,598,179,125,
582,938,400,756,405,410,704,801,920,200,092,346,967,574,172,931,356,644,076,
976,332,662,241,557,004,004,864,987,289,089,274,319,368,010,321,645,012,171,
668,285,718,625,617,993,058,411,735,890,495,979,206,834,235,527,195,506,473,
695,788,071,927,454,224,295,129,803,090,863,455,429,523,049,235,616,172,125,
354,567,672,673,374,647,529,981,626,645,200,068,607,142,676,674,445,493,447,
319,755,670,684,288,772,484,835,003,251,244,675,502,779,043,445,435,891,082,
639,789,866,417,152,142,604,311,751,358,263,944,620,247,162,147,397,468,233,
889,788,026,543,673,988,091,675,428,147,681,860,929,887,074,614,240,249,738,
391,525,115,642,206,038,963,857,223,707,976,705,551,047,755,070,396,231,356,
422,983,543,963,707,140,652,200,713,293,095,788,018,110,878,603,726,879,749,
289,726,953,395,185,368,332,416,650,398,759,070,788,806,564,172,085,119,849,
001,230,840,973,791,121,666,182,263,551,668,985,996,794,455,100,845,667,263,
137,632,295,460,939,556,457,307,390,871,028,687,664,302,297,428,020,178,716,
699,544,457,136,406,516,786,925,761,310,904,342,307,243,730,012,213,918,396,
251,458,867,953,194,431,091,613,452,762,342,857,965,874,431,705,659,286,682,
713,575,747,090,173,531,413,177,520,372,338,251,300,222,913,021,380,772,412,
529,957,792,694,154,863,507,384,188,227,943,294,469,444,525,770,295,596,685,
779,157,201,048,958,367,846,223,226,020,837,561,809,106,005,156,851,085,326,
965,332,700,465,027,770,628,714,964,296,423,121,719,368,013,550,737,771,860,
804,315,155,390,565,057,775,348,633,356,652,375,174,847,405,901,114,123,016,
159,660,760,738,985,664,014,078,456,693,090,087,068,559,050,163,167,092,596,
415,207,310,272,973,615,301,494,686,190,883,141,796,913,944,689,187,186,558,
127,169,554,823,339,823,025,993,804,407,038,800,640,474,644,434,749,723,887,
908,466,860,581,255,462,957,042,251,278,616,019,430,620,909,630,971,253,315,
250,577,344,801,941,669,496,671,356,897,345,374,769,968,049,163,883,108,258,
348,226,388,029,997,257,529,076,753,411,690,802,673,081,580,912,218,613,936,
641,001,895,196,081,093,681,295,234,429,294,467,666,423,852,702,458,690,735,
536,320,889,109,452,198,337,833,833,905,942,739,013,784,143,856,561,368,641,
677,043,879,378,362,661,462,083,412,307,554,498,718,626,261,643,506,233,026,
825,582,351,149,961,158,480,840,264,657,799,116,656,343,743,375,455,113,616,
887,311,291,204,905,849,447,542,685,522,257,474,356,526,783,319,796,542,985,
107,178,252,021,577,338,153,429,985,175,698,929,296,387,256,354,874,166,048,
457,450,747,226,139,434,357,750,630,462,006,154,750,505,860,970,085,477,215,
966,319,556,366,199,591,904,612,051,457,958,934,460,031,669,070,516,391,871,
567,737,972,539,779,835,018,945,079,476,633,229,713,040,184,651,222,388,724,
361,110,912,153,181,954,790,778,929,421,603,386,381,924,697,813,727,028,644,
291,154,189,012,592,663,454,862,975,213,679,713,282,445,209,587,088,817,073,
154,918,594,210,160,843,156,581,876,263,087,977,102,648,429,490,212,132,576,
772,803,746,918,377,607,341,931,204,113,767,058,524,976,786,735,603,042,384,
138,680,384,265,836,685,666,543,635,056,650,930,978,849,003,652,976,160,045,
421,362,188,241,344,147,745,204,768,651,269,689,032,213,717,996,555,285,819,
329,048,839,107,037,474,367,133,890,089,438,599,376,635,439,266,152,074,669,
809,134,013,608,852,045,060,242,671,178,507,240,184,325,887,122,027,779,441,
454,168,979,168,566,791,635,655,565,660,929,061,219,930,765,525,504,028,249,
985,262,179,721,697,512,765,284,615,134,824,055,669,048,287,108,638,533,160,
971,909,793,067,688,163,991,572,407,592,070,017,783,760,209,153,571,500,703,
164,613,698,487,048,365,536,771,360,938,605,738,446,186,219,921,589,412,147,
177,039,008,969,414,659,484,585,939,520,380,730,712,669,669,224,915,745,449,
982,159,110,219,290,489,116,684,679,971,294,833,804,199,705,117,602,919,559,
009,881,962,362,746,568,063,682,363,028,211,541,285,810,488,440,301,641,614,
823,397,855,151,543,462,525,384,467,572,298,425,385,859,781,589,717,336,307,
132,712,533,534,173,977,461,640,646,062,250,369,420,680,297,806,559,329,917,
259,719,976,089,550,339,894,299,151,715,908,838,490,056,682,705,231,817,027,
073,110,000,106,924,246,690,961,960,795,117,436,443,424,207,746,887,121,658,
240,992,280,828,008,470,969,873,356,276,938,793,540,668,915,257,139,037,304,
322,384,205,932,177,743,961,367,643,506,890,049,041,648,880,929,839,599,613,
965,427,636,018,892,374,718,830,461,590,246,983,928,796,541,157,744,250,317,
692,395,859,783,180,003,414,511,869,746,451,449,097,178,655,137,256,673,058,
087,657,404,936,966,800,760,051,001,369,595,299,910,740,251,486,902,270,366,
742,573,896,368,820,346,667,619,592,614,544,115,346,463,553,916,203,556,437,
301,928,945,650,002,556,270,555,130,860,429,768,621,199,961,682,080,778,556,
506,709,744,279,128,835,363,477,734,695,661,518,025,193,059,186,934,207,656,
241,813,774,215,993,794,732,810,024,988,427,915,509,906,401,359,064,887,971,
611,039,133,899,322,317,010,391,339,190,869,841,437,529,489,660,093,419,125,
594,770,612,439,966,314,942,193,244,718,245,027,998,978,060,288,296,916,716,
659,760,006,114,424,239,712,741,258,165,251,574,759,283,942,710,839,113,322,
714,746,878,558,600,120,787,055,037,410,719,527,867,436,589,004,772,277,725,
737,310,258,242,872,536,315,328,364,800,882,109,171,784,340,509,674,342,749,
206,766,539,082,557,925,334,107,999,118,303,486,696,112,018,652,027,768,166,
423,842,557,541,459,023,186,895,164,960,752,634,995,192,829,878,122,208,055,
273,462,174,741,070,164,817,529,631,590,496,706,071,198,434,887,751,890,537,
466,240,680,108,209,194,578,438,745,985,130,097,151,973,838,858,721,616,358,
126,115,145,631,296,109,917,386,039,683,996,073,260,855,900,724,852,759,151,
262,178,376,061,914,175,501,191,420,765,104,950,746,928,495,604,135,595,375,
772,421,974,985,381,147,944,237,153,823,796,354,711,558,386,355,676,631,316,
475,860,298,638,522,043,659,450,406,080,897,723,639,231,614,189,292,970,100,
288,204,688,939,317,645,180,207,591,952,024,841,622,164,322,419,952,627,958,
634,332,074,607,816,984,307,332,359,606,169,062,820,345,719,165,948,288,244,
244,900,643,721,768,648,559,280,919,098,149,812,079,887,619,421,707,193,221,
603,049,035,348,023,028,397,470,875,888,981,719,549,447,900,607,973,716,946,
006,456,425,431,656,351,598,600,492,384,113,744,844,994,616,126,929,168,349,
768,002,274,866,560,440,083,799,349,831,560,382,930,976,721,170,217,967,875,
403,358,166,732,581,976,627,583,779,593,837,985,625,117,863,584,993,217,625,
606,025,146,437,513,049,788,319,392,297,245,742,077,272,024,567,263,715,745,
059,283,580,351,550,402,229,933,990,238,681,675,929,257,535,105,529,545,534,
380,596,754,620,190,548,979,573,738,947,815,263,778,677,454,582,254,189,830,
899,780,836,408,842,342,587,353,976,405,413,605,548,566,514,252,292,358,036,
649,144,027,344,542,091,806,859,660,491,628,868,315,633,083,160,423,406,189,
975,166,402,709,558,260,672,250,688,367,371,841,974,210,930,557,584,290,647,
036,948,984,256,984,002,740,367,244,290,317,751,060,044,397,346,063,572,656,
747,856,446,733,118,064,012,777,251,973,512,670,679,277,204,824,833,456,681,
056,245,983,434,604,806,295,884,151,064,168,721,851,536,880,507,157,867,820,
205,766,337,228,631,732,010,825,137,339,515,911,156,629,729,678,423,899,484,
959,807,328,322,528,759,181,446,738,739,489,462,454,360,807,251,014,804,755,
187,181,172,939,700,111,731,928,034,101,173,817,636,427,715,472,060,264,090,
898,882,498,131,981,587,607,524,696,185,011,543,903,328,638,457,207,155,319,
323,242,791,299,483,987,263,169,559,266,969,137,473,891,920,954,231,361,729,
122,597,129,088,693,725,094,340,907,353,601,879,397,027,422,580,073,751,589,
044,922,819,450,148,771,431,165,013,395,685,482,473,532,105,778,509,396,062,
010,747,670,086,341,963,368,498,643,567,811,167,681,411,472,960,879,767,730,
133,860,928,865,662,582,642,098,614,758,166,190,179,206,855,477,008,547,484,
141,028,882,934,339,249,893,054,087,852,067,753,264,649,864,612,678,742,935,
518,019,211,191,377,755,695,288,878,660,905,430,036,698,476,261,310,294,640,
651,099,316,190,826,093,938,050,452,758,194,387,957,209,717,509,054,354,482,
007,474,534,996,278,997,606,294,825,896,985,972,456,709,072,679,463,595,731,
747,833,881,604,321,404,415,180,702,818,040,468,340,458,260,388,880,178,851,
720,593,124,918,298,016,942,401,553,447,780,888,536,328,645,833,430,874,437,
666,521,698,230,015,323,029,115,003,196,956,460,401,855,480,780,688,832,252,
233,470,228,585,991,736,710,928,696,652,845,681,340,152,501,294,741,624,425,
129,493,753,525,470,017,070,039,354,113,705,740,493,285,901,943,520,667,755,
288,751,844,113,153,925,179,585,239,252,714,843,575,575,771,945,671,782,533,
206,642,992,722,488,403,188,602,379,072,636,878,215,606,676,468,862,262,386,
500,010,557,857,132,033,870,768,374,944,608,536,589,871,309,096,827,580,527,
659,640,775,721,830,027,081,981,694,394,714,323,960,108,577,326,447,972,648,
725,351,533,294,109,762,482,160,344,751,199,169,811,896,677,030,872,565,731,
290,456,263,005,565,490,637,170,051,157,813,779,983,974,237,249,992,854,096,
244,236,475,504,717,063,989,790,089,364,124,349,348,045,893,448,726,757,475,
957,187,319,941,788,536,556,422,625,498,808,805,576,308,242,821,671,665,902,
591,511,949,129,934,526,642,986,431,566,210,513,092,125,835,568,635,343,234,
639,599,260,478,518,675,403,438,210,250,207,242,585,103,995,539,593,987,217,
035,353,791,474,844,384,439,336,912,583,613,475,256,272,705,288,400,889,920,
214,024,964,920,024,077,816,195,823,327,174,510,857,707,837,205,389,734,684,
311,281,879,814,914,215,344,714,074,077,349,269,349,484,608,450,050,610,308,
022,313,920,867,233,549,935,695,788,178,462,812,852,187,373,824,653,244,049,
891,932,195,856,418,072,068,840,711,205,830,392,307,516,549,545,486,595,120,
823,501,634,349,861,978,744,212,755,815,307,949,047,239,388,666,073,949,692,
316,044,477,055,926,587,608,145,696,239,311,849,966,072,262,267,257,028,920,
178,873,229,101,032,917,797,579,504,910,317,938,303,575,134,835,634,657,943,
845,947,629,767,126,966,128,644,736,674,908,065,152,071,860,102,033,227,876,
520,016,582,079,277,780,414,196,473,056,039,508,260,138,503,373,604,608,899,
518,115,158,688,441,797,056,120,215,589,600,528,878,336,703,834,307,807,530,
275,287,403,173,429,108,428,594,705,130,854,145,503,783,628,482,781,554,286,
456,725,757,766,183,270,930,554,261,552,311,188,649,379,652,160,016,987,285,
102,883,540,874,953,579,789,708,321,542,106,701,537,499,559,387,471,684,175,
658,281,425,627,703,878,500,335,522,051,083,850,660,118,983,930,271,905,448,
546,314,486,920,475,316,495,357,127,409,313,100,016,296,023,330,991,316,829,
899,498,525,627,181,608,354,095,518,722,631,544,449,480,928,810,231,209,201,
644,495,024,723,460,573,738,250,627,663,242,111,974,501,769,633,261,913,911,
505,027,796,856,178,920,944,838,111,420,646,588,438,117,097,204,838,444,238,
163,422,601,371,574,982,648,672,425,822,959,046,774,344,866,752,589,833,177,
602,948,936,951,909,427,661,173,089,571,182,523,150,399,065,105,021,434,827,
029,411,642,895,590,294,668,491,745,769,158,534,864,087,446,878,352,048,187,
673,055,749,340,231,533,339,545,717,809,943,800,810,350,508,736,826,437,673,
299,048,861,293,654,043,220,295,639,754,229,442,157,988,250,973,296,150,459,
984,047,887,378,321,828,814,671,334,990,320,969,627,280,338,206,998,806,161,
768,674,784,623,300,322,691,163,549,306,380,427,306,751,764,356,725,970,175,
376,343,909,423,682,242,577,179,957,523,227,326,183,862,976,138,293,350,324,
067,940,435,565,967,928,394,268,624,763,366,494,708,129,192,919,035,716,948,
823,425,237,937,827,974,180,929,973,815,705,758,929,324,867,928,830,985,718,
196,213,377,754,435,514,821,471,775,394,853,621,105,312,415,599,288,413,423,
395,176,670,703,063,760,957,025,052,779,249,050,015,006,075,388,286,818,056,
797,102,803,082,119,053,512,204,919,373,116,188,932,325,130,490,594,538,060,
681,587,627,229,210,355,371,573,610,236,270,438,192,209,393,948,346,134,631,
011,144,907,958,364,929,945,039,480,663,872,731,373,625,806,154,854,610,295,
522,794,063,963,723,867,907,028,857,782,513,145,338,158,672,074,692,464,033,
098,022,236,617,106,492,998,447,981,654,315,695,750,694,421,662,204,440,208,
840,401,666,928,057,441,682,595,321,486,098,971,992,109,422,539,149,607,475,
975,255,480,908,035,677,737,137,380,765,685,183,845,747,251,310,693,501,214,
866,018,182,938,097,468,126,857,780,577,757,842,358,127,860,670,191,412,704,
887,563,984,104,945,958,663,065,195,324,347,612,987,946,487,148,605,271,562,
042,577,718,787,543,746,035,447,050,362,081,429,108,379,607,240,947,877,794,
559,493,503,868,532,294,264,076,178,020,473,152,700,807,177,781,590,066,396,
665,176,775,187,302,087,678,651,881,413,155,341,332,560,439,909,390,107,601,
040,227,561,140,718,070,123,183,115,300,874,078,367,857,008,703,502,870,852,
209,607,894,991,360,561,302,659,354,609,920,109,903,521,670,575,940,915,777,
259,206,084,070,334,485,452,554,909,592,950,755,827,492,303,479,006,217,286,
005,437,485,244,765,443,947,144,707,045,883,488,435,560,922,440,089,918,069,
430,949,250,143,176,643,012,653,814,014,702,721,253,257,191,679,074,267,107,
494,682,651,004,176,248,443,954,679,039,533,191,318,793,801,671,070,141,026,
651,309,896,297,708,827,707,680,685,055,495,259,075,933,085,838,727,892,908,
860,779,573,109,169,222,854,043,290,689,562,106,662,220,639,214,798,463,474,
026,518,595,641,609,027,347,064,621,631,809,158,222,505,972,410,122,010,778,
305,583,879,269,335,890,566,957,364,605,317,606,323,132,302,602,205,362,729,
007,617,838,515,828,638,086,632,112,699,516,699,242,851,207,992,104,811,437,
105,037,426,598,983,079,626,980,804,413,873,810,907,470,745,405,369,189,159,
197,295,323,655,546,105,112,402,746,396,334,172,615,736,229,811,463,720,896,
145,610,851,880,359,458,096,112,942,255,434,769,996,064,567,386,807,610,710,
191,445,405,260,347,455,266,485,282,766,651,183,765,730,837,319,492,115,174,
839,540,145,744,635,075,339,450,983,838,478,062,266,025,803,279,353,661,229,
938,349,358,860,616,508,937,799,986,818,401,832,998,825,823,164,673,887,334,
990,900,815,073,045,529,049,099,767,378,859,433,382,314,167,425,588,857,643,
941,749,826,219,122,820,818,891,051,274,360,899,225,964,779,348,231,578,264,
133,080,387,151,244,574,662,180,769,882,396,047,552,330,796,087,204,675,009,
802,987,849,044,164,810,762,511,247,542,428,106,558,184,785,150,931,032,316,
553,024,085,404,818,647,977,548,705,380,605,565,444,952,289,820,139,345,341,
279,327,653,619,411,759,962,393,807,533,654,451,447,210,557,050,748,210,103,
770,619,976,860,035,437,420,889,629,840,196,829,548,739,178,901,918,087,629,
173,012,118,978,250,904,548,270,378,378,987,478,165,100,616,291,800,291,188,
818,580,698,882,109,454,812,701,907,079,585,566,383,931,034,720,039,107,168,
272,467,995,861,517,134,454,503,143,838,849,421,649,232,396,641,955,936,492,
455,504,431,633,059,830,504,271,040,952,487,263,085,057,891,969,458,359,239,
099,785,807,708,340,400,842,549,076,087,600,459,108,544,905,120,640,251,341,
992,194,622,185,172,168,870,223,794,677,721,032,225,851,273,534,906,284,690,
850,201,660,206,634,142,025,445,481,953,616,936,824,844,567,661,657,604,453,
459,809,686,187,255,015,478,916,828,832,104,851,066,969,111,601,318,718,435,
501,381,433,037,037,308,829,144,092,843,581,975,914,761,782,290,904,328,808,
278,929,227,201,754,551,647,007,137,116,034,867,137,576,513,244,961,352,999,
244,243,787,868,389,438,156,435,964,267,192,025,012,776,728,189,270,971,650,
987,936,804,988,241,055,265,363,362,232,870,438,553,128,259,560,242,777,078,
847,503,576,910,892,044,529,606,401,743,696,168,529,443,354,223,866,786,042,
786,768,456,382,008,299,937,948,946,992,152,609,591,424,057,821,801,129,568,
242,610,132,086,122,388,422,111,829,198,708,903,092,008,301,065,044,631,625,
141,189,466,106,494,504,490,918,180,924,159,780,458,654,119,350,383,627,225,
447,091,389,098,991,157,223,797,301,804,918,870,502,751,193,845,166,254,226,
060,882,308,530,206,038,509,863,520,201,081,138,573,894,416,806,599,134,331,
702,419,639,826,483,960,859,436,529,813,009,682,465,663,525,668,758,779,270,
298,667,929,572,865,220,247,626,060,529,284,033,142,012,816,374,100,083,583,
321,984,728,509,256,981,125,090,096,498,819,924,420,696,307,334,227,807,229,
536,489,239,379,347,216,281,882,313,172,342,314,174,386,874,513,878,505,992,
819,308,981,409,319,982,339,247,379,986,024,194,042,078,383,811,939,434,299,
210,279,461,947,112,248,314,694,275,637,744,911,048,401,657,974,832,260,723,
513,938,791,850,277,950,947,562,445,912,420,817,692,364,535,960,310,487,269,
773,092,904,335,802,549,588,968,642,352,773,455,329,066,878,234,621,796,649,
619,929,939,928,811,098,309,768,728,073,856,552,736,407,906,868,970,473,604,
861,026,847,036,673,407,738,525,582,099,132,234,888,092,955,924,666,195,283,
865,780,317,593,373,148,139,527,996,452,682,603,037,051,276,175,730,209,409,
869,374,787,215,053,901,640,805,493,945,283,608,663,791,996,078,429,796,589,
439,069,041,754,054,260,467,417,696,550,340,082,683,966,487,614,164,948,278,
694,615,947,464,328,431,634,496,070,328,313,512,809,014,148,296,755,577,722,
475,859,778,063,916,303,205,998,098,568,332,328,998,485,578,771,071,621,675,
068,998,988,534,847,023,528,744,333,641,075,271,830,283,745,245,686,910,616,
292,538,742,549,610,343,128,941,515,261,763,690,182,979,945,403,182,437,378,
968,901,225,743,352,344,892,143,863,972,401,286,176,687,064,343,410,643,836,
136,669,441,537,381,664,289,640,654,028,097,242,081,425,124,804,925,658,881,
410,376,318,826,232,457,202,031,140,332,363,655,370,164,657,578,195,549,268,
748,531,119,919,170,833,772,864,018,633,765,658,595,380,539,328,556,189,692,
794,277,497,928,186,788,392,055,602,561,789,098,161,595,622,467,300,876,783,
015,438,471,353,525,090,955,208,773,868,125,729,182,190,637,076,817,471,790,
597,579,034,441,411,585,415,240,718,101,237,170,362,599,779,586,484,065,467,
786,680,204,101,188,887,112,696,304,905,516,368,421,929,251,799,335,100,982,
611,171,818,468,737,554,542,403,251,587,180,889,300,033,712,624,627,519,756,
134,967,952,247,722,767,433,532,953,253,267,461,969,208,478,993,502,832,656,
730,962,086,053,080,780,356,822,757,282,962,730,510,171,967,508,915,078,631,
183,891,446,899,221,538,848,204,097,222,811,856,876,315,235,388,518,042,333,
521,077,581,330,878,939,096,387,995,281,883,544,959,909,890,419,651,158,297,
829,805,448,348,429,769,980,130,648,721,528,766,764,064,438,993,544,233,530,
236,568,426,238,242,938,304,753,166,405,013,474,864,331,411,414,703,236,158,
032,951,622,747,901,923,433,352,155,525,395,264,180,298,485,286,844,489,243,
303,234,972,761,253,741,735,928,272,111,859,806,320,606,268,610,386,056,539,
086,768,013,169,776,046,929,330,517,072,336,710,920,699,243,919,689,546,047,
643,227,397,321,381,172,264,523,058,581,225,216,132,253,378,340,270,765,794,
851,063,613,765,673,180,554,879,261,878,960,913,898,160,669,370,290,631,071,
628,093,472,576,796,637,129,660,452,280,324,000,500,502,264,818,624,268,114,
206,717,885,211,290,561,732,184,653,024,171,362,809,471,925,107,589,827,661,
242,492,085,607,460,234,486,685,873,533,994,590,648,908,406,436,027,907,665,
615,475,184,762,767,281,024,529,580,041,360,465,602,796,512,925,891,357,153,
650,988,749,473,131,474,663,669,721,590,905,003,426,913,850,823,310,810,898,
163,186,738,372,200,803,420,914,376,082,921,316,691,889,599,577,190,629,346,
996,694,007,384,899,818,769,039,700,792,072,181,534,080,556,867,159,188,915,
346,739,976,318,537,855,032,137,403,577,816,885,518,615,225,364,863,971,971,
213,323,509,358,916,706,471,377,493,702,605,488,632,273,271,490,007,133,375,
798,956,528,154,406,114,023,566,768,741,084,392,527,579,960,719,931,095,980,
719,560,415,768,511,189,133,520,216,773,714,246,379,463,951,627,667,160,456,
113,455,691,790,373,163,090,844,400,722,040,098,727,926,578,548,983,184,416,
460,057,985,649,996,520,056,504,943,739,620,491,758,850,866,963,435,392,806,
559,912,983,814,008,926,123,305,661,837,675,958,132,175,573,407,818,832,275,
808,869,134,986,890,877,621,405,952,590,455,548,163,419,896,838,645,159,436,
490,307,761,530,909,144,979,034,598,932,828,136,684,832,944,605,982,256,780,
268,756,588,449,377,489,616,860,247,159,813,913,874,400,936,470,749,808,789,
061,171,905,923,202,231,238,471,434,720,871,692,736,374,518,072,589,468,311,
727,855,827,527,561,404,505,721,494,662,863,564,211,650,354,354,652,169,519,
023,766,227,187,398,299,327,102,331,780,585,360,421,195,177,503,843,294,911,
410,139,819,276,004,198,185,196,203,591,731,821,368,441,392,831,189,913,348,
808,960,985,622,756,032,686,942,355,475,891,135,130,702,345,039,343,064,753,
272,434,014,245,398,373,744,764,805,490,358,850,042,385,529,775,636,681,434,
824,700,487,519,081,741,661,783,673,279,120,494,676,225,729,942,243,000,965,
567,716,336,642,179,838,935,503,804,500,694,477,019,023,229,220,359,373,262,
656,781,865,726,124,349,454,181,756,082,664,556,107,459,516,144,169,323,547,
379,265,201,699,164,080,063,842,695,192,448,059,750,111,025,459,579,502,434,
747,314,272,177,791,040,739,429,142,914,288,192,566,983,097,064,809,292,037,
512,229,890,787,049,314,455,665,844,388,825,471,858,385,767,772,732,213,554,
447,733,658,499,549,827,820,353,719,762,617,541,662,245,544,677,322,386,745,
685,136,701,825,034,141,907,397,605,097,135,733,116,018,431,985,659,745,557,
594,477,530,724,684,172,434,496,713,026,455,762,872,129,495,994,071,154,989,
081,232,736,099,444,551,986,720,715,167,730,605,153,981,491,648,111,221,465,
380,261,273,973,864,615,159,360,173,798,549,017,636,460,779,206,464,954,926,
453,157,909,595,931,902,916,224,822,487,417,778,793,234,223,163,811,611,058,
043,608,814,210,016,435,886,431,544,445,276,366,307,452,471,229,569,142,798,
652,782,884,405,332,830,671,100,574,329,383,725,275,363,885,189,405,950,084,
982,974,483,422,501,952,518,503,034,006,479,678,878,377,709,703,547,301,061,
581,130,985,640,813,792,802,648,678,346,187,850,335,145,331,489,576,495,686,
776,859,804,545,422,738,196,882,564,229,237,821,188,143,556,237,145,741,076,
716,326,738,316,336,744,836,542,357,771,728,011,451,792,620,330,105,181,712,
142,773,745,604,853,209,879,988,569,490,830,463,257,817,505,513,219,943,861,
674,437,058,274,513,124,268,469,761,700,067,184,938,933,872,365,996,343,873,
773,566,618,054,844,777,992,186,022,496,024,788,974,909,805,477,051,922,593,
243,553,268,669,209,275,357,155,412,563,991,772,342,268,648,652,085,930,680,
491,046,697,826,761,098,883,133,187,725,986,877,102,576,479,868,036,085,087,
923,843,538,574,567,801,732,248,625,017,813,656,156,553,624,823,059,643,489,
601,810,142,922,272,936,144,285,214,248,242,803,305,482,904,091,185,756,039,
460,670,835,369,748,656,643,712,229,531,598,242,065,862,528,691,114,435,735,
981,174,751,387,635,436,474,534,785,480,366,063,799,650,215,567,980,351,944,
287,725,219,759,385,629,724,201,739,030,852,945,278,549,453,496,721,049,921,
352,697,188,480,552,126,339,659,534,500,107,694,440,710,520,410,120,283,578,
403,323,998,416,555,199,753,323,709,929,701,951,411,254,359,915,948,664,147,
941,731,454,006,379,789,431,342,696,196,019,361,740,425,951,432,168,321,767,
542,184,932,265,371,169,067,924,701,833,455,902,106,511,694,359,695,804,422,
642,528,678,357,229,921,942,239,595,281,861,435,741,432,943,039,396,601,285,
380,162,953,221,311,133,833,206,409,597,894,047,066,652,858,123,501,508,834,
919,277,637,452,670,006,111,920,034,808,654,447,713,075,202,057,886,494,284,
054,450,229,510,658,797,135,528,775,805,060,177,084,799,628,902,127,964,273,
274,105,817,523,304,005,966,452,523,448,861,929,605,221,669,539,145,062,725,
991,329,141,310,486,524,679,853,966,579,371,561,197,453,461,364,570,412,934,
774,718,812,345,765,054,126,474,839,506,884,366,184,429,641,914,659,135,392,
585,655,835,465,768,336,242,937,301,751,987,461,458,686,079,714,035,572,608,
442,576,989,950,609,178,605,371,253,713,550,564,411,890,877,621,716,840,816,
073,813,873,291,252,621,950,837,590,763,216,826,759,652,515,939,992,346,914,
152,188,012,698,449,839,470,305,507,429,107,435,512,195,298,044,195,413,800,
678,963,173,453,727,414,181,616,505,247,455,524,226,232,497,949,183,978,923,
203,687,455,620,441,925,672,939,336,175,889,060,136,904,567,783,533,872,512,
582,757,551,451,006,414,895,713,847,662,671,874,427,466,982,223,396,559,719,
118,070,393,959,487,797,957,774,990,501,921,167,698,171,166,278,413,378,953,
890,307,702,452,502,439,390,714,667,629,457,357,874,911,192,924,822,893,968,
382,997,367,492,578,778,645,049,985,954,398,492,548,268,567,079,480,401,268,
377,653,312,872,250,565,529,816,216,173,369,968,792,860,382,628,411,699,628,
544,066,755,315,106,595,263,531,985,347,850,948,931,154,787,337,422,077,906,
949,850,886,508,797,723,388,794,993,361,662,897,360,469,532,249,890,776,765,
402,526,703,833,402,662,537,620,023,265,917,206,331,285,140,791,357,174,493,
227,011,559,715,966,649,452,035,241,325,465,363,186,345,191,634,365,880,382,
050,785,117,390,597,588,031,036,646,789,520,463,514,659,121,560,088,692,563,
511,007,325,608,193,787,001,800,221,134,512,383,154,168,470,620,329,342,246,
378,679,967,810,031,050,961,995,735,990,204,339,438,666,709,735,682,260,174,
150,816,664,361,610,135,390,650,201,598,693,672,220,310,228,990,745,024,878,
743,936,950,569,685,333,515,907,253,500,601,059,041,780,974,352,073,320,194,
818,030,941,688,472,044,734,685,688,960,752,203,647,444,332,178,193,443,069,
980,838,989,472,921,885,783,137,561,886,914,417,617,373,287,735,671,230,793,
872,686,339,477,744,199,890,444,127,518,608,160,083,439,611,775,384,172,908,
060,483,538,841,431,134,079,563,033,496,962,534,964,306,245,164,327,913,691,
245,022,205,312,010,736,410,827,598,489,596,008,568,471,760,236,307,733,910,
701,761,586,685,284,761,378,289,006,027,633,362,753,376,159,906,608,371,342,
862,599,476,422,554,256,923,422,955,334,647,448,684,524,586,189,949,173,354,
940,123,653,115,691,022,561,562,736,863,822,613,209,870,288,045,955,848,207,
467,564,348,170,395,842,474,548,823,774,423,991,341,671,708,885,332,067,343,
784,748,062,771,449,554,795,697,824,916,302,054,782,650,446,287,672,298,605,
813,062,677,672,622,531,810,166,786,743,501,731,834,266,070,655,335,817,233,
531,530,017,872,940,374,048,011,112,679,656,674,305,016,881,765,568,719,834,
533,142,346,518,649,495,149,379,462,586,423,624,820,753,135,581,380,583,265,
362,082,984,440,409,736,315,260,840,970,872,937,441,795,520,892,563,572,547,
899,315,683,346,112,735,266,788,532,840,662,552,928,745,732,886,255,174,083,
841,372,259,726,680,877,486,706,538,759,750,158,877,303,629,928,407,848,566,
195,238,013,296,046,659,328,930,239,719,268,129,548,757,370,933,897,629,932,
813,173,104,291,258,936,915,293,780,457,327,867,323,516,246,370,699,319,193,
560,658,213,253,871,347,323,765,014,815,071,036,107,880,746,918,995,151,821,
101,991,253,603,129,901,125,606,380,714,132,093,478,372,243,323,080,412,789,
970,527,105,762,483,298,633,604,858,039,366,439,391,376,576,172,149,869,250,
613,046,107,656,427,539,476,120,419,249,756,674,930,782,860,048,561,583,466,
894,122,350,844,534,947,082,823,774,750,110,879,781,893,444,993,356,158,433,
374,504,582,119,837,153,934,290,211,756,640,608,514,848,694,088,285,686,623,
155,989,141,403,815,377,390,856,302,941,528,031,968,090,970,771,001,131,953,
419,609,964,547,116,100,192,099,325,552,659,884,364,399,312,931,667,579,414,
850,933,237,448,158,922,543,908,406,395,245,728,331,534,545,593,972,368,140,
464,310,372,286,566,098,136,367,279,175,179,312,898,973,193,438,079,658,894,
310,603,967,685,880,920,360,121,790,062,417,495,057,200,775,430,660,599,579,
398,791,161,263,485,308,228,281,369,101,505,695,735,286,104,145,613,728,445,
624,261,029,532,621,547,711,396,416,938,035,532,266,040,151,480,334,524,811,
730,095,632,001,733,370,847,756,581,917,977,051,873,677,856,225,930,911,216,
238,460,958,912,482,999,942,904,561,831,296,580,440,579,224,833,208,836,370,
865,243,065,721,270,755,978,184,439,051,909,793,459,100,338,706,846,387,593,
452,336,431,323,410,531,140,686,279,051,128,625,816,475,837,011,413,915,367,
064,900,971,121,393,147,090,636,218,779,003,416,147,401,478,703,422,948,383,
062,899,812,034,879,166,889,030,130,813,605,876,071,652,649,778,329,589,663,
807,572,698,331,266,795,302,918,848,469,207,823,371,699,858,465,993,833,529,
770,242,919,611,452,370,071,534,465,350,536,559,602,296,861,634,521,706,031,
047,196,887,295,218,954,430,319,000,881,770,880,804,096,411,760,876,995,767,
463,001,116,036,701,724,862,784,153,642,484,457,329,719,024,729,106,256,118,
015,177,306,694,519,134,639,880,371,364,342,890,633,236,878,480,965,134,705,
547,417,039,481,425,098,901,733,935,924,265,377,064,238,829,914,894,323,564,
989,379,054,541,546,088,931,779,453,989,275,027,805,571,902,884,934,655,221,
451,333,291,778,713,440,491,280,437,826,192,089,833,043,686,143,647,047,369,
987,218,276,409,249,826,737,440,731,922,602,500,635,843,398,362,890,986,168,
927,026,868,774,299,356,869,214,010,419,639,487,170,005,686,290,291,283,697,
143,385,490,499,670,805,820,099,749,306,822,071,089,158,344,879,584,002,974,
979,367,267,452,483,215,735,635,301,062,174,686,702,386,102,930,109,126,023,
434,823,826,760,601,340,256,523,237,398,842,658,964,017,832,419,311,161,003,
119,874,781,814,712,258,366,206,131,982,204,688,197,510,875,488,579,242,510,
962,191,553,102,721,230,480,474,603,962,097,007,998,500,566,037,300,893,428,
334,237,034,105,103,209,348,085,284,224,661,011,606,826,929,958,640,238,490,
940,403,039,889,850,499,843,857,539,924,885,381,186,435,074,950,219,339,335,
592,963,902,281,535,648,808,891,840,884,930,555,441,636,943,538,966,696,971,
023,340,731,990,378,040,183,737,236,532,187,678,620,034,570,313,018,853,243,
388,264,224,666,808,384,393,240,152,745,365,617,064,061,669,043,216,631,686,
396,219,782,501,144,058,930,078,414,063,649,660,542,424,818,545,980,866,341,
897,795,871,485,455,841,453,033,816,026,655,392,194,657,903,047,052,578,357,
785,818,485,351,013,313,950,756,839,192,397,078,949,557,403,202,959,038,010,
112,449,719,854,235,140,145,977,755,987,531,854,357,993,926,780,849,438,301,
037,371,891,653,385,431,707,288,424,534,545,974,792,789,842,373,242,029,280,
698,491,034,206,140,967,653,669,017,586,494,477,173,109,158,151,911,949,719,
029,875,727,468,139,529,634,232,929,332,282,312,251,409,736,797,877,091,259,
549,440,301,950,454,460,774,769,482,121,801,561,012,278,013,215,309,803,197,
292,745,538,311,573,011,080,016,387,264,233,480,173,291,765,179,880,109,166,
252,629,642,512,183,688,741,976,069,049,228,060,628,043,513,903,949,705,639,
358,993,752,013,068,833,063,992,033,353,818,081,400,827,868,710,454,201,354,
982,034,051,393,060,581,054,510,554,611,763,211,584,757,468,844,483,113,434,
765,776,922,686,788,370,183,996,840,713,084,602,882,121,432,679,139,686,625,
598,061,740,368,850,885,414,654,679,351,337,278,096,019,072,702,998,607,918,
413,369,607,236,079,809,876,877,415,998,521,016,763,100,069,956,392,736,300,
972,808,118,310,483,265,296,651,276,391,548,009,087,673,736,323,161,999,770,
618,899,936,237,114,757,517,215,324,818,604,482,520,710,440,920,104,829,716,
792,867,015,531,319,636,006,815,163,409,494,955,991,212,666,223,828,952,825,
248,905,817,657,007,710,530,262,787,765,534,622,930,183,355,402,087,441,880,
697,951,395,996,285,362,354,646,285,182,082,873,082,631,667,494,250,824,911,
100,985,142,749,695,163,021,668,756,006,568,801,268,392,393,390,151,427,346,
643,057,834,532,343,034,283,909,965,628,641,662,670,408,960,302,410,617,831,
717,028,797,865,786,126,660,429,053,486,533,498,948,705,558,932,043,553,224,
084,127,765,027,203,254,645,551,662,701,364,996,565,971,144,314,681,493,284,
977,452,698,118,690,028,402,099,432,759,823,779,346,529,713,901,891,398,434,
159,830,911,642,573,944,652,141,101,741,378,104,550,315,865,906,520,235,815,
115,065,807,715,114,890,861,436,414,398,329,940,206,540,678,279,320,368,931,
895,727,254,598,605,201,237,831,667,949,937,206,708,090,775,255,479,746,378,
438,771,661,288,721,616,106,293,639,928,212,213,029,444,692,973,551,323,633,
677,758,708,778,636,607,744,471,116,043,465,132,608,835,838,849,494,840,895,
619,451,539,354,813,932,087,176,716,963,738,542,161,757,363,908,980,173,192,
071,341,708,969,426,523,251,937,651,396,171,646,350,220,039,083,922,613,250,
934,274,917,443,975,291,089,364,798,184,592,309,908,774,614,535,681,288,557,
887,889,454,006,496,631,707,763,933,607,000,813,069,742,901,010,953,330,840,
634,922,498,591,391,717,353,923,605,845,673,479,799,982,018,483,309,520,176,
247,311,776,314,791,357,748,888,993,593,027,338,349,282,089,560,368,792,094,
952,085,346,085,252,410,972,042,852,038,698,568,173,146,293,384,477,404,486,
991,812,593,327,224,300,647,470,681,786,087,235,032,345,589,566,784,322,286,
565,402,255,056,694,940,591,053,078,631,574,264,659,554,852,183,608,205,466,
164,592,199,175,747,892,016,183,577,501,697,044,770,048,466,541,130,657,769,
058,812,401,727,578,826,232,961,647,184,075,572,246,846,663,293,322,078,999,
720,338,619,890,822,443,058,155,243,496,442,648,677,219,235,124,362,746,823,
836,375,061,833,907,966,495,355,803,007,693,485,976,628,867,679,144,319,720,
088,056,891,341,193,378,356,619,095,503,923,641,090,924,642,360,599,238,055,
868,138,506,475,864,809,331,673,478,760,759,293,078,916,222,854,055,752,922,
752,699,461,183,394,921,109,686,155,892,599,887,828,386,981,015,969,365,887,
323,628,950,488,606,643,742,289,401,339,825,269,900,712,721,472,662,370,879,
329,986,294,128,050,397,164,676,763,639,808,403,020,115,497,053,582,197,387,
864,584,503,375,604,042,180,593,303,998,995,469,797,667,320,297,951,229,298,
528,883,366,719,578,026,088,226,496,491,747,623,122,998,085,766,157,097,809,
103,951,299,816,793,783,939,635,966,760,298,946,066,000,283,170,344,910,273,
400,781,733,678,269,366,439,656,300,488,079,951,376,782,883,757,856,088,262,
313,998,206,450,576,094,174,249,755,537,370,851,487,126,475,834,999,226,029,
493,256,555,749,498,655,764,806,980,513,885,730,446,020,366,218,691,483,140,
503,014,628,354,898,551,818,362,627,953,003,827,896,694,889,154,824,856,405,
050,245,892,021,634,124,472,682,939,901,654,172,614,921,688,301,151,150,665,
990,604,986,883,357,473,846,180,405,702,945,915,250,438,115,156,112,844,585,
449,410,082,253,411,753,848,985,319,048,506,724,665,491,029,408,345,692,256,
478,894,966,783,274,428,977,372,825,344,543,322,725,907,948,539,128,780,322,
139,319,807,535,959,257,075,078,885,869,240,397,562,983,854,312,789,256,916,
658,564,693,899,510,457,784,986,111,287,074,786,503,474,586,654,060,028,275,
520,869,557,360,946,683,574,447,868,834,102,699,657,087,186,117,128,585,829,
273,788,226,097,084,418,306,094,063,646,800,248,537,440,567,760,908,820,445,
860,812,912,290,062,547,108,702,322,552,697,014,803,130,805,443,921,302,272,
833,732,363,828,971,726,356,813,674,820,816,217,613,167,166,460,339,179,868,
199,361,012,924,660,920,839,652,994,759,992,710,347,728,646,723,844,636,498,
687,428,818,148,750,629,518,623,306,884,037,544,187,447,726,651,099,911,929,
076,991,914,089,553,567,032,579,294,457,084,961,666,413,447,636,663,802,423,
949,108,708,739,096,861,662,246,678,212,978,495,977,548,453,090,078,626,113,
800,239,212,497,676,600,829,227,080,443,463,594,147,491,202,010,150,512,596,
999,994,047,977,495,055,246,195,248,874,708,231,259,227,802,131,879,957,193,
620,870,455,676,415,706,708,555,570,337,722,994,076,738,707,630,660,438,789,
371,515,876,730,879,749,487,645,120,165,153,496,257,054,721,478,498,041,855,
986,868,081,892,101,772,403,061,181,657,901,010,819,154,573,857,408,037,828,
320,279,899,534,910,891,199,770,014,407,833,069,097,598,048,883,336,544,896,
148,937,499,119,391,794,924,253,941,397,064,479,532,563,360,095,660,923,773,
877,812,725,771,468,628,921,387,326,585,371,796,210,181,492,186,649,354,585,
472,994,017,428,403,585,521,366,931,877,403,688,900,203,679,841,706,356,262,
739,948,604,359,552,409,932,729,488,254,247,824,522,902,577,343,062,366,450,
242,369,815,375,342,932,178,951,661,097,214,246,008,308,287,850,504,988,976,
001,240,931,385,022,034,871,045,179,407,145,549,488,521,326,730,174,940,826,
758,201,397,701,968,159,320,423,124,786,031,117,202,719,013,128,155,915,302,
217,051,492,399,699,983,447,031,274,784,137,762,782,163,834,695,994,613,316,
086,395,496,931,593,534,440,432,342,312,115,112,717,687,612,467,958,032,138,
299,108,955,900,181,047,284,190,605,658,238,128,375,645,102,340,879,760,788,
997,407,162,110,153,147,126,047,360,301,279,733,528,690,897,526,631,728,121,
453,711,494,949,400,132,399,782,032,665,512,694,233,105,129,714,190,887,064,
711,590,794,485,514,561,259,791,928,445,475,261,777,105,890,848,719,443,171,
728,877,778,757,683,338,838,289,234,874,901,401,634,549,968,500,489,592,138,
530,699,140,825,412,432,598,912,608,437,400,519,799,478,273,961,139,474,617,
659,713,850,004,953,881,610,165,424,961,183,694,568,392,336,267,257,678,813,
299,758,413,144,255,123,414,658,062,380,324,819,181,788,931,736,771,305,962,
492,095,254,845,949,673,520,670,493,833,117,605,973,998,439,910,069,814,464,
555,026,134,273,739,056,434,772,184,536,795,028,944,811,039,537,966,069,157,
286,101,522,743,338,258,645,070,588,009,308,265,980,272,795,398,720,141,679,
607,965,413,707,210,971,294,172,053,719,990,586,031,094,600,968,643,229,387,
307,244,612,195,629,006,233,090,304,112,458,463,169,154,576,159,502,169,274,
060,115,680,430,996,500,972,346,680,099,093,608,245,501,741,409,657,106,338,
602,524,227,142,548,568,072,052,084,761,767,000,791,100,765,585,968,344,720,
279,820,723,684,754,290,259,037,285,610,134,891,927,352,752,863,097,482,683,
849,905,708,741,187,580,947,354,765,411,926,917,187,392,729,232,033,014,606,
158,429,459,587,127,995,077,759,431,660,870,259,713,401,613,414,365,808,006,
465,492,754,184,884,115,398,572,389,172,528,016,622,982,432,281,305,588,960,
848,503,203,915,492,972,443,062,636,823,657,588,027,205,131,625,434,818,989,
096,961,331,460,721,981,991,000,737,295,248,015,783,959,808,559,939,724,415,
962,037,415,783,327,909,521,637,148,395,251,535,437,500,272,707,029,562,385,
446,844,725,558,779,251,016,640,913,385,008,244,897,265,553,952,500,101,174,
408,220,889,259,923,349,183,066,015,333,786,513,391,628,287,198,988,947,930,
070,565,717,651,470,123,225,696,988,962,647,580,618,709,756,971,542,967,982,
351,127,737,701,800,852,029,072,404,908,602,687,289,850,707,949,484,965,644,
765,933,042,967,245,062,183,414,890,172,298,602,243,985,209,462,227,614,558,
041,544,558,718,817,696,290,154,960,683,272,088,493,695,797,540,545,829,148,
667,298,337,288,014,431,511,967,949,853,099,174,264,649,598,890,267,946,618,
499,195,364,985,131,571,722,692,566,185,536,281,020,710,441,990,444,892,134,
479,185,962,820,860,424,609,864,359,265,592,393,830,847,979,725,382,994,670,
965,145,279,524,423,231,173,766,682,289,465,415,475,222,959,303,241,776,731,
251,632,184,868,309,833,394,610,520,119,432,248,983,909,105,792,119,672,153,
242,945,565,685,817,056,967,826,078,238,863,665,786,521,307,214,948,863,143,
176,136,421,840,605,026,322,135,607,749,625,916,146,991,075,219,452,498,131,
403,683,544,441,149,534,870,455,455,468,937,064,425,854,426,264,848,044,711,
533,077,821,784,027,739,298,195,978,908,017,125,118,043,391,688,571,042,005,
157,983,615,658,341,643,670,535,747,981,011,153,642,569,835,188,992,847,914,
166,362,223,492,973,603,353,021,512,869,821,338,959,182,773,655,254,081,867,
159,003,207,571,384,107,412,940,669,559,357,319,082,882,230,366,238,882,431,
503,381,810,031,298,847,578,802,512,580,291,378,100,048,582,176,779,719,580,
064,138,078,096,482,272,661,442,612,478,972,403,288,072,034,321,029,677,651,
160,835,183,081,575,638,599,331,347,130,248,168,786,496,349,947,022,714,062,
297,378,467,987,998,894,118,814,258,448,475,816,071,618,432,449,355,744,046,
914,443,572,438,552,826,824,040,232,076,648,149,201,974,956,069,809,502,263,
358,433,487,970,196,051,589,290,253,026,150,761,301,303,105,744,039,721,157,
313,836,182,253,376,930,989,420,994,819,025,754,600,817,519,168,801,558,053,
190,826,353,698,343,768,610,267,228,142,978,213,149,150,091,796,944,894,851,
763,415,356,291,593,326,692,070,735,820,638,603,844,424,556,954,641,165,899,
786,798,538,400,790,560,115,363,988,900,678,890,716,276,167,328,269,260,666,
305,488,931,299,238,083,033,030,448,448,903,365,560,706,820,443,968,564,835,
425,303,424,557,002,212,997,608,449,868,268,389,220,049,795,870,887,860,434,
884,104,951,417,341,006,987,227,868,638,494,441,250,773,789,935,831,194,305,
111,023,577,881,345,276,047,156,572,249,986,855,471,613,435,263,584,644,067,
277,234,361,405,615,366,352,899,879,331,869,442,857,029,401,327,436,612,206,
199,144,059,858,936,894,768,584,060,022,888,787,341,331,931,670,081,220,916,
687,109,702,751,128,272,025,626,188,529,183,132,563,183,143,186,868,957,181,
184,447,738,726,100,566,926,922,202,620,819,983,925,644,868,194,186,413,536,
477,852,012,893,529,199,460,407,558,057,055,857,647,149,351,692,414,598,281,
863,211,007,895,746,320,203,416,563,183,808,281,315,348,755,242,669,982,025,
737,950,959,832,221,141,704,194,904,778,964,060,188,895,806,968,833,460,844,
500,540,640,219,309,611,451,575,948,848,742,309,793,006,456,291,781,882,694,
138,043,099,687,883,717,707,871,268,154,477,448,162,088,092,117,015,098,213,
665,068,118,544,118,451,374,808,461,163,263,200,381,991,031,743,048,448,469,
006,143,931,346,398,510,910,606,307,015,076,687,868,739,856,398,071,981,226,
666,538,900,792,423,173,865,098,039,237,523,494,133,802,757,185,048,687,180,
250,854,823,434,934,093,071,884,835,255,560,521,450,197,920,723,365,037,000,
602,557,328,676,725,107,403,467,151,288,440,669,783,554,819,929,803,935,475,
677,939,717,122,285,435,139,517,160,174,923,886,292,401,310,820,534,749,699,
698,292,639,828,048,598,424,521,756,746,663,396,738,797,583,627,531,059,963,
120,550,646,841,595,589,261,568,957,477,606,258,877,873,856,543,544,680,983,
641,898,218,272,514,717,229,200,920,600,990,001,286,629,626,517,207,755,582,
338,271,681,349,842,444,339,069,475,839,277,966,445,209,222,120,098,259,737,
110,952,633,969,887,223,328,136,819,656,164,976,549,163,955,098,647,896,335,
451,133,566,758,309,839,698,967,659,377,381,948,994,336,281,196,058,919,287,
094,577,938,523,431,551,891,321,454,386,988,909,173,983,901,661,596,194,375,
328,335,703,230,353,303,574,263,457,415,930,287,079,354,775,296,138,667,440,
071,172,872,683,784,539,812,054,196,401,138,681,854,417,377,922,655,294,647,
193,387,212,211,126,948,264,431,811,999,297,788,756,553,058,672,110,579,013,
052,117,373,449,720,545,000,155,125,578,800,855,985,633,153,592,131,092,734,
770,174,656,114,838,281,328,331,289,308,995,708,215,814,188,452,124,127,894,
308,636,717,274,561,189,608,977,613,897,709,059,614,403,463,840,337,670,007,
086,729,490,481,269,037,435,977,538,077,822,652,423,100,984,196,070,674,671,
914,587,906,810,823,651,944,139,257,261,938,424,074,720,033,376,380,351,774,
192,904,248,907,087,816,677,773,404,306,434,745,763,896,317,207,910,134,843,
404,777,760,298,797,787,534,064,048,534,889,140,556,852,430,744,919,079,620,
712,694,908,531,264,238,886,607,035,582,023,324,107,269,693,464,256,667,853,
324,243,954,864,848,136,648,302,815,717,203,590,745,391,393,803,043,564,753,
370,140,850,072,787,985,784,523,099,229,422,561,771,098,182,606,922,346,165,
704,615,071,582,376,154,353,900,028,981,449,204,803,431,729,580,504,033,486,
478,771,068,636,023,943,279,425,571,297,383,750,884,829,303,391,986,807,239,
808,535,250,070,713,876,342,864,133,621,155,334,616,336,439,445,660,779,534,
873,540,264,854,034,866,842,860,243,133,855,726,321,781,709,295,837,319,110,
191,847,523,864,617,581,113,901,183,435,875,762,561,712,085,533,446,011,888,
249,365,697,037,605,248,640,390,850,064,626,563,723,648,027,419,283,808,564,
346,295,023,516,817,774,015,527,676,096,649,265,523,130,779,760,169,099,146,
027,116,114,522,244,956,645,595,803,047,960,508,634,164,046,902,518,817,048,
716,151,626,718,506,696,361,910,630,688,521,489,250,885,278,389,391,183,428,
311,369,968,984,032,835,677,981,453,192,229,562,413,171,674,990,585,780,831,
664,497,216,215,254,095,411,770,830,361,012,321,646,744,633,430,529,177,594,
454,297,801,511,120,929,891,728,835,977,000,935,162,344,574,881,438,704,602,
449,290,014,274,136,631,794,273,698,863,217,727,688,270,342,306,935,945,727,
928,629,271,471,010,351,487,316,307,011,371,117,566,461,469,106,728,776,214,
368,510,742,857,295,397,818,937,877,065,663,666,844,442,912,716,275,705,586,
650,938,782,911,941,566,221,965,130,470,888,279,041,382,202,743,605,747,539,
688,646,697,445,863,199,396,730,116,617,615,913,528,777,043,380,360,151,244,
724,697,735,307,265,308,304,746,041,505,153,420,023,876,160,296,111,961,703,
567,111,823,507,007,307,842,569,026,757,043,814,833,269,719,179,500,685,304,
573,712,031,903,594,745,302,347,558,025,275,201,062,901,477,355,466,758,836,
929,815,397,855,978,008,243,407,981,645,250,411,088,566,240,109,704,990,531,
129,055,840,406,368,353,865,374,030,103,444,324,580,468,824,677,225,033,826,
298,405,559,853,004,271,116,067,416,040,118,144,945,215,043,504,712,839,514,
698,234,251,743,064,048,924,233,678,883,607,681,545,306,239,611,921,715,107,
812,659,633,886,948,946,397,744,828,014,754,633,852,081,565,110,867,229,010,
349,806,426,297,764,107,476,486,937,560,761,878,922,233,001,293,297,153,954,
183,755,180,014,422,586,409,865,872,326,355,427,688,556,919,645,744,090,215,
081,626,907,318,445,806,928,064,018,490,402,716,426,087,902,356,768,433,848,
281,529,455,074,493,007,831,568,765,558,975,210,267,978,918,075,210,939,117,
657,232,072,500,349,400,267,395,080,488,151,039,978,935,782,104,128,363,142,
729,106,121,787,951,401,026,260,786,111,450,660,885,798,824,471,978,520,274,
369,895,339,567,562,118,041,353,900,724,399,687,485,822,407,829,256,847,121,
056,214,271,653,566,196,637,094,309,047,824,695,845,891,539,079,179,566,249,
286,444,196,526,746,848,941,741,188,833,097,185,656,249,263,639,602,473,826,
158,442,732,987,701,780,064,050,443,828,914,957,022,126,112,790,027,427,981,
126,857,354,877,987,933,455,209,155,592,462,163,334,438,579,705,673,739,885,
617,413,829,871,302,440,139,101,613,155,989,055,440,860,182,227,877,131,541,
507,143,532,699,470,931,374,161,423,531,965,994,067,419,051,440,528,619,331,
615,891,126,103,354,852,322,938,920,023,169,828,002,464,082,701,412,339,475,
247,998,081,591,477,617,058,649,140,481,792,404,220,079,610,282,309,313,742,
490,847,011,478,258,652,762,080,388,880,185,958,697,734,443,020,759,151,509,
861,146,276,159,430,017,907,381,952,391,058,752,699,069,540,650,852,297,298,
974,394,411,774,757,803,711,688,632,018,939,755,061,644,341,757,346,108,294,
144,928,735,299,787,707,063,198,483,398,864,804,484,762,417,114,905,851,506,
049,083,231,721,855,733,398,604,863,551,113,415,014,530,026,567,641,116,237,
344,818,332,330,333,221,258,465,957,057,955,797,171,755,180,312,774,284,250,
708,374,024,008,808,018,235,457,793,286,144,866,873,653,554,239,645,032,362,
940,877,184,197,185,647,985,487,531,446,336,977,958,999,418,466,648,641,916,
278,976,838,311,434,157,898,071,907,792,628,867,064,838,029,442,697,553,857,
974,174,400,738,367,519,074,631,390,489,408,408,262,346,699,175,494,415,345,
062,557,341,541,080,998,057,111,402,565,837,703,834,469,475,385,095,348,082,
067,372,204,003,706,852,717,291,273,651,206,235,783,052,207,185,244,737,562,
554,886,630,221,992,982,332,714,819,935,702,296,968,475,286,974,892,277,985,
324,098,433,200,488,098,715,273,866,294,760,022,963,411,568,709,204,500,152,
391,678,332,676,699,337,195,799,651,782,570,059,205,731,636,967,915,515,112,
222,386,668,804,130,817,267,002,560,387,859,458,306,011,290,655,485,661,354,
179,440,899,372,187,879,976,888,555,956,776,008,506,460,318,212,042,880,497,
367,213,824,545,736,241,831,062,123,479,189,373,079,351,935,816,104,594,518,
965,930,673,831,307,351,132,703,950,675,080,302,189,681,200,042,089,230,612,
570,104,688,016,246,447,278,337,149,700,480,191,846,632,706,869,626,644,197,
769,662,658,887,390,513,423,198,729,545,315,044,902,543,722,305,471,580,942,
755,226,336,523,111,500,628,053,590,523,287,618,360,675,181,125,678,606,226,
330,096,324,755,936,207,281,623,800,415,007,965,024,889,626,302,884,712,930,
837,070,747,235,077,773,496,260,235,321,014,110,191,787,391,723,857,475,439,
621,442,919,675,441,997,883,883,820,380,477,901,626,615,306,870,254,602,367,
927,152,426,157,577,045,151,335,658,148,052,025,095,448,976,044,202,438,527,
670,458,833,376,840,948,744,419,727,904,958,591,125,753,329,015,211,323,890,
272,138,083,423,554,223,194,789,962,610,367,936,862,313,944,886,029,413,724,
601,565,612,686,790,104,186,218,773,543,741,032,555,876,383,776,153,438,587,
496,685,471,856,230,574,507,448,288,745,961,170,659,890,287,183,159,111,590,
247,746,410,685,043,827,546,411,323,462,103,628,114,964,660,742,434,016,747,
425,193,961,677,397,000,597,467,567,911,395,370,530,359,130,121,987,222,779,
082,317,402,985,856,554,042,496,295,263,224,915,951,064,086,325,210,315,048,
319,511,150,958,569,384,089,467,802,414,916,044,710,407,896,035,516,778,837,
903,073,371,432,967,493,662,981,388,845,357,586,562,608,251,394,351,006,404,
049,700,507,130,359,238,919,141,099,178,369,269,393,375,003,367,721,599,638,
396,903,405,460,965,226,193,456,686,406,489,267,745,271,544,414,462,068,837,
380,823,579,371,360,515,941,118,356,645,364,131,918,919,861,808,403,958,424,
779,694,760,816,357,308,002,050,035,096,338,303,336,623,673,467,930,902,272,
681,665,189,800,829,169,093,042,206,799,043,765,636,208,964,928,938,306,799,
227,004,721,180,537,339,713,329,882,155,538,996,021,562,828,077,849,174,949,
129,065,077,585,561,822,242,540,189,818,644,147,366,976,028,216,723,753,116,
474,537,293,277,680,367,034,817,628,409,843,924,143,360,581,635,593,228,130,
378,971,283,016,471,415,550,197,579,188,671,440,795,853,477,697,794,674,956,
584,673,097,625,341,834,740,923,640,424,296,840,502,581,810,170,879,510,061,
304,332,055,805,557,868,737,603,014,816,330,015,217,845,241,365,716,080,661,
673,327,362,036,141,032,371,322,155,819,525,848,710,070,539,270,082,255,595,
664,183,833,748,181,481,994,409,139,474,549,556,952,249,051,494,613,577,873,
191,819,193,216,523,962,165,510,218,700,233,295,107,006,778,609,189,389,627,
017,998,215,313,782,839,810,431,122,396,178,129,569,786,491,210,879,363,421,
252,436,941,587,511,016,887,142,638,391,577,221,799,940,791,597,306,702,566,
603,880,518,636,646,900,260,572,826,457,842,778,043,241,551,101,366,438,280,
393,752,646,983,035,309,685,760,215,429,515,356,495,396,001,986,957,632,281,
805,422,063,417,794,469,652,864,051,739,864,409,616,731,692,033,526,520,278,
682,333,682,861,715,223,739,404,930,649,280,833,650,126,484,089,878,844,000,
891,198,898,312,533,701,043,277,530,780,154,303,483,091,189,971,943,535,719,
995,327,790,327,877,475,846,234,079,346,194,017,166,686,168,972,341,848,322,
873,919,184,195,799,627,993,519,948,129,189,473,494,052,643,503,216,767,043,
785,332,218,321,844,707,211,976,246,111,352,862,722,887,804,742,140,575,563,
550,936,265,645,739,829,324,365,434,688,977,220,607,104,196,186,169,200,245,
802,627,724,006,865,794,239,812,418,303,000,549,237,695,931,055,444,675,803,
891,796,870,875,327,569,221,412,882,044,565,058,521,572,287,257,649,165,475,
371,447,012,137,124,875,777,141,935,140,899,442,577,600,339,858,870,276,228,
883,880,431,024,010,658,092,300,281,436,145,732,031,806,284,146,796,196,892,
131,294,549,698,119,899,963,752,280,166,474,492,548,641,433,372,617,154,172,
525,392,711,951,856,071,353,550,161,741,685,716,144,746,435,750,315,627,772,
227,406,307,741,423,939,893,895,303,763,471,177,532,864,555,294,583,799,736,
859,547,339,469,624,400,966,915,045,779,857,114,219,709,838,675,442,851,905,
401,323,583,364,437,155,344,138,868,963,136,520,203,455,925,968,671,234,043,
038,758,113,373,647,326,015,735,343,429,196,967,723,072,792,794,277,145,546,
617,412,450,800,789,051,648,579,272,498,632,294,883,782,466,779,900,718,231,
752,806,279,085,746,775,772,873,147,667,781,898,601,803,287,113,931,462,413,
450,649,544,357,030,746,206,332,537,182,347,414,891,312,543,149,732,481,732,
802,904,036,607,410,463,479,756,704,841,916,092,721,191,126,526,380,687,622,
885,812,712,302,488,121,078,656,264,107,246,809,710,798,056,449,200,809,953,
247,605,301,132,936,660,881,750,535,922,790,424,183,035,821,546,624,683,150,
421,578,481,066,635,744,815,119,665,333,030,071,670,613,746,787,429,942,214,
811,161,166,120,105,931,365,357,175,176,121,002,841,996,898,825,125,083,158,
631,287,933,276,373,658,684,101,302,660,328,697,990,818,300,542,909,789,384,
861,306,033,808,972,435,617,392,313,161,701,399,849,946,777,241,964,757,941,
608,882,765,301,452,530,778,359,498,483,852,516,037,796,175,640,384,618,570,
686,722,444,938,217,183,518,829,484,322,629,190,979,123,037,258,235,933,320,
330,942,627,559,252,791,442,089,346,483,884,745,420,831,179,565,912,350,876,
904,392,498,103,883,557,960,828,501,080,565,611,021,650,126,197,326,862,915,
842,445,876,320,235,527,220,879,082,659,179,659,935,451,766,918,651,406,019,
881,533,091,871,555,149,273,739,230,242,790,737,347,238,444,995,161,859,538,
797,712,987,468,248,027,953,376,993,974,896,830,753,336,855,257,768,796,856,
435,666,268,322,618,562,119,907,247,431,251,395,499,414,688,503,137,908,221,
888,574,851,095,104,092,911,694,387,513,917,473,846,722,468,656,877,137,857,
317,086,389,869,829,111,247,286,255,175,487,302,632,519,190,474,802,944,625,
636,166,670,230,200,862,509,620,274,598,559,933,538,050,599,305,231,585,006,
329,508,674,299,263,301,402,012,741,275,989,896,956,192,284,354,823,591,229,
958,937,370,621,901,710,640,102,178,355,593,696,599,007,422,541,908,077,359,
591,564,656,789,203,054,047,928,473,558,163,179,363,063,769,524,881,070,428,
360,236,767,114,525,239,683,638,626,773,485,199,890,814,203,626,835,502,340,
550,819,259,354,900,950,678,365,798,676,942,543,945,044,155,185,216,868,611,
399,769,550,022,302,073,296,687,158,846,116,288,402,045,254,957,539,241,297,
325,288,599,670,756,918,085,415,733,044,319,569,522,755,617,512,095,342,332,
854,731,577,092,003,043,705,548,936,811,954,762,609,421,788,865,992,355,104,
951,922,197,998,122,220,158,504,413,362,058,900,120,403,160,139,219,489,312,
819,770,742,128,392,346,956,296,375,877,654,400,616,220,566,987,437,985,545,
944,919,425,789,923,337,075,439,520,300,645,154,408,605,326,782,607,326,620,
530,245,699,251,858,221,385,488,476,794,714,339,434,250,259,291,825,381,641,
055,973,462,335,609,503,544,129,634,615,330,471,208,071,321,187,543,332,953,
238,717,981,443,621,450,036,222,857,935,392,851,617,307,411,293,567,887,206,
479,156,714,040,294,215,695,959,728,349,478,689,826,255,216,555,510,194,469,
964,592,367,312,297,030,604,295,712,418,955,767,013,089,403,033,825,681,918,
139,877,920,583,773,108,957,952,671,207,529,744,708,728,693,820,366,996,876,
854,387,736,590,006,814,805,697,340,684,661,769,782,855,918,381,653,139,127,
588,723,306,941,664,272,386,678,367,128,381,809,875,737,667,338,706,116,463,
718,725,247,228,282,384,279,302,709,532,357,812,873,480,003,886,103,024,411,
937,955,733,198,726,054,714,814,537,922,649,542,130,019,534,099,537,395,292,
986,736,413,074,740,574,486,040,055,999,199,585,207,451,197,316,293,694,931,
132,243,250,562,233,067,110,704,914,190,539,177,109,775,216,905,189,645,756,
942,919,623,875,272,732,319,647,048,952,405,746,392,047,547,876,281,385,771,
749,380,042,100,451,589,660,241,151,521,245,575,483,876,017,801,590,859,428,
685,259,735,100,193,661,420,032,991,273,853,178,235,685,160,505,764,667,756,
551,193,998,247,935,839,720,914,538,944,372,218,058,511,339,550,179,388,853,
841,885,269,978,857,757,766,466,147,407,904,718,285,611,219,722,554,958,929,
429,260,092,520,334,703,192,486,162,790,580,021,071,290,149,597,357,603,775,
229,229,838,985,124,118,481,172,130,184,478,922,006,102,639,230,932,174,625,
039,323,368,935,659,026,484,939,824,937,352,437,076,798,512,849,501,487,749,
051,385,218,422,190,512,561,171,978,792,373,540,830,711,345,419,835,640,837,
822,640,509,007,717,669,369,195,434,624,386,534,317,033,370,088,030,034,316,
484,613,889,499,491,579,424,390,528,428,604,214,328,422,636,386,944,032,483,
468,119,296,466,739,068,398,913,226,265,937,156,778,774,797,007,273,758,964,
815,613,265,103,523,868,788,699,575,172,085,894,267,362,843,855,106,084,474,
525,197,318,479,455,872,830,399,564,112,577,047,682,738,812,113,738,119,777,
850,624,587,088,945,057,492,267,839,072,205,291,522,574,223,540,741,820,252,
135,303,281,306,653,244,223,711,020,661,567,383,342,506,195,284,404,404,070,
089,040,478,131,957,562,002,533,462,471,534,674,404,253,148,888,632,329,641,
578,177,073,041,163,855,168,581,360,340,706,538,596,654,238,304,758,893,973,
245,902,770,601,126,446,115,944,991,878,871,433,366,622,927,901,672,974,893,
464,385,473,365,805,674,604,853,303,889,389,269,591,053,829,099,108,603,235,
565,158,674,717,087,201,645,725,258,011,062,728,404,011,356,818,534,111,899,
345,866,270,116,707,892,734,187,077,208,274,815,222,592,761,897,326,425,770,
150,135,701,163,783,417,034,494,269,952,011,661,958,301,373,322,973,131,026,
281,029,594,386,880,041,342,367,919,200,809,689,926,987,409,409,523,671,254,
779,973,500,997,949,174,429,640,934,958,610,726,198,151,485,924,559,097,100,
035,519,102,353,942,309,280,431,048,221,943,777,364,123,525,141,412,396,560,
195,260,829,803,984,643,686,894,667,790,340,744,125,642,815,280,630,316,303,
860,234,255,170,265,943,484,433,375,017,572,808,757,681,993,478,880,984,148,
463,540,407,259,388,224,839,086,943,783,044,734,418,608,075,716,453,667,507,
807,777,625,100,889,019,338,199,207,295,178,226,022,615,806,542,216,885,582,
098,110,862,896,398,371,563,383,617,331,121,788,023,860,037,088,007,950,261,
140,518,280,854,744,777,302,447,105,678,686,649,219,646,448,621,515,728,264,
069,053,802,514,224,854,848,265,597,554,868,217,476,151,651,106,640,460,088,
022,080,209,836,805,376,997,447,920,288,417,235,147,117,041,493,873,542,476,
530,694,632,009,639,377,482,980,929,869,565,119,401,682,731,711,743,964,020,
643,221,840,760,507,062,835,176,605,661,338,623,431,009,489,592,566,224,935,
671,127,137,143,222,994,256,506,287,626,726,839,734,613,458,776,771,598,706,
405,486,585,153,931,157,093,328,492,746,348,552,069,350,289,181,634,289,798,
619,030,903,352,531,541,592,200,471,293,057,267,506,927,981,793,074,168,494,
756,332,736,422,418,237,740,376,755,635,495,528,686,042,717,014,710,189,678,
176,472,172,847,742,607,655,565,300,607,741,117,445,782,203,750,430,871,973,
432,545,104,757,450,027,781,933,703,591,518,199,833,778,495,164,842,162,160,
364,591,925,875,756,817,138,042,342,708,303,361,497,781,760,909,119,474,835,
049,804,635,229,708,403,914,681,618,508,157,419,297,272,573,297,097,886,258,
845,262,653,675,601,107,369,496,380,023,970,944,287,791,722,201,314,120,352,
252,776,113,890,622,702,903,531,498,507,053,153,356,323,953,248,748,525,628,
642,551,282,875,919,073,104,094,828,669,567,595,381,330,103,988,858,464,511,
577,691,437,015,364,942,300,264,098,108,981,758,659,036,953,059,512,454,703,
620,914,683,522,551,369,132,077,600,465,459,602,469,047,544,004,952,536,005,
354,953,257,839,412,473,963,953,855,854,116,184,976,569,649,974,042,536,521,
044,618,350,848,341,407,537,830,372,335,176,119,950,597,133,591,160,610,828,
428,451,715,459,975,433,439,476,677,979,382,592,246,723,077,226,346,724,623,
357,708,866,016,688,831,323,643,126,728,418,723,496,371,457,353,548,755,877,
409,788,908,157,225,722,352,499,086,261,263,077,557,550,269,496,490,579,727,
716,398,143,175,319,080,552,308,298,048,455,151,683,793,833,846,011,445,822,
451,897,541,923,740,301,693,615,928,860,027,619,401,560,417,561,468,719,585,
200,372,011,808,910,331,698,741,626,970,886,044,034,890,580,437,542,128,804,
383,271,756,863,498,023,461,281,849,356,314,239,839,865,775,048,998,448,877,
472,436,595,904,157,424,404,876,541,152,173,780,510,421,099,150,031,965,570,
105,217,288,719,987,340,825,690,506,933,781,286,365,140,172,447,580,059,267,
268,104,229,324,826,844,898,429,671,734,401,096,911,954,235,820,792,724,888,
786,353,852,169,958,295,828,341,436,752,831,514,835,324,247,073,796,140,852,
637,642,337,594,925,950,055,209,002,868,649,121,898,421,364,928,013,580,898,
859,982,042,516,750,204,378,275,842,973,781,441,839,252,345,350,959,343,192,
475,099,170,733,144,223,099,406,935,369,874,357,941,772,494,822,941,954,480,
232,759,248,389,774,354,493,011,820,407,347,948,511,183,286,790,714,992,547,
177,023,732,582,188,418,032,744,454,603,094,437,431,271,390,561,204,636,442,
029,841,484,919,055,797,837,038,658,128,466,777,343,004,047,451,741,437,032,
432,741,967,489,719,212,495,164,917,227,096,497,661,196,178,811,662,783,693,
081,106,961,054,034,432,690,320,366,409,654,719,126,391,190,291,413,191,829,
462,832,315,779,975,866,995,205,249,261,259,044,193,414,066,486,785,852,691,
488,204,362,475,353,350,508,450,043,007,426,334,032,503,075,418,347,198,402,
309,298,591,786,361,513,765,035,001,693,411,412,705,492,392,609,806,250,720,
881,506,872,213,234,919,941,105,217,303,123,262,391,206,563,177,501,373,857,
246,513,848,572,181,974,045,086,006,308,774,980,243,254,856,873,275,346,856,
566,685,932,435,156,022,202,423,034,774,497,728,779,794,102,705,797,752,738,
671,045,486,910,385,149,560,196,389,400,521,588,763,297,289,111,418,934,124,
838,695,692,075,279,828,011,218,595,965,895,214,564,426,915,493,464,466,245,
445,272,722,720,026,555,288,625,394,880,270,979,825,336,081,308,727,025,378,
002,022,683,580,807,049,161,536,438,800,366,788,271,884,880,230,824,635,232,
478,532,663,814,704,018,200,421,958,828,378,439,336,710,458,846,442,924,741,
182,925,408,383,066,158,532,977,392,906,214,621,845,526,278,154,811,028,905,
059,267,588,526,628,477,199,800,884,138,967,352,751,522,571,965,098,156,700,
738,925,480,638,701,989,644,155,568,072,375,657,312,729,130,174,692,642,043,
380,600,411,786,120,539,938,820,852,192,445,071,912,351,413,845,598,117,069,
770,495,737,561,967,645,596,711,939,958,786,612,673,769,493,321,115,496,905,
556,484,086,512,295,240,964,244,114,337,532,686,616,085,973,446,283,686,505,
615,564,122,601,365,943,744,414,456,336,720,028,860,127,143,563,884,444,710,
097,753,438,422,657,056,768,856,228,917,409,733,028,467,370,113,846,321,596,
670,882,938,505,578,073,140,927,353,667,332,939,222,718,689,873,689,674,961,
404,467,899,182,718,273,654,820,939,757,618,027,654,424,594,064,136,638,385,
945,400,148,777,192,688,657,572,704,138,451,308,920,775,487,022,381,959,519,
624,994,294,404,496,269,610,162,802,137,833,378,172,612,469,589,944,097,736,
227,704,082,438,260,084,007,254,645,932,925,508,830,936,804,606,162,883,507,
563,711,416,860,132,000,424,717,031,728,733,193,188,124,640,788,710,783,365,
407,698,813,680,000,726,314,790,027,446,024,463,043,108,286,310,137,408,088,
343,516,013,431,793,237,124,657,635,067,450,462,205,265,771,832,418,465,150,
498,539,234,241,372,677,733,073,747,392,758,843,466,387,831,143,480,160,175,
647,014,465,767,251,570,672,656,528,275,692,980,078,325,346,766,729,270,762,
640,224,016,842,205,698,062,987,482,849,487,606,335,371,902,186,110,459,784,
009,169,364,850,412,163,453,118,738,916,577,264,611,880,650,737,089,357,107,
554,298,462,397,363,779,385,140,382,363,418,027,575,224,221,947,015,539,469,
758,374,504,476,884,204,413,292,747,272,417,082,214,935,896,433,560,451,112,
483,899,653,671,650,107,151,433,072,596,342,246,353,854,021,619,418,981,059,
614,492,321,247,508,182,665,549,580,643,573,893,725,472,607,298,626,203,218,
840,976,714,730,929,482,230,243,272,738,636,671,149,716,781,733,806,090,330,
283,232,726,122,273,625,712,105,833,068,522,003,785,905,424,274,004,496,897,
394,929,277,304,026,228,310,502,658,244,362,735,439,815,105,608,601,982,939,
924,955,052,116,435,077,532,296,724,319,708,696,303,219,037,481,648,297,965,
495,379,295,430,895,263,193,959,221,870,817,518,174,483,012,271,522,479,064,
164,538,451,719,164,735,357,499,676,040,589,388,394,033,628,960,167,883,084,
740,500,582,093,071,324,673,617,002,904,116,466,321,313,210,476,923,343,468,
476,702,438,642,661,529,590,432,118,167,267,129,808,231,211,338,266,306,460,
548,157,433,588,948,055,391,298,873,188,389,004,004,910,895,498,556,956,048,
385,362,192,206,128,603,983,393,481,905,535,563,110,195,115,932,222,260,222,
075,072,331,691,341,784,654,672,543,146,928,728,107,585,517,614,019,450,779,
189,345,282,931,732,657,080,705,953,200,132,172,654,384,614,026,718,097,427,
318,798,027,125,961,229,151,695,587,177,217,380,066,321,039,397,489,947,757,
826,896,776,146,820,525,461,254,102,988,820,764,060,886,469,314,481,723,042,
845,963,327,417,143,374,768,251,005,920,312,505,998,592,540,039,950,040,457,
793,063,010,218,631,488,174,341,841,875,085,695,966,151,792,612,668,464,323,
613,013,349,291,152,083,139,216,426,332,223,156,180,837,178,621,650,652,077,
417,871,937,316,386,170,889,193,789,003,487,865,405,067,084,436,801,873,642,
712,085,540,294,546,489,748,266,840,439,996,566,451,029,531,604,541,509,261,
796,169,586,997,122,072,305,850,225,780,844,432,553,592,002,081,971,003,723,
188,583,602,046,179,114,047,301,656,418,670,372,097,116,442,823,094,560,198,
594,255,075,734,108,571,789,040,505,394,514,285,221,242,982,825,925,215,429,
643,281,983,641,189,908,351,530,208,918,041,349,576,743,996,034,842,251,983,
888,208,740,195,014,559,092,986,861,619,389,631,692,717,565,545,900,395,342,
635,103,429,682,616,591,846,695,964,945,092,786,710,087,541,277,052,575,793,
631,371,804,930,063,820,265,227,807,328,586,576,234,932,858,344,141,338,211,
899,568,126,179,464,866,481,875,487,115,147,243,206,707,251,637,892,206,200,
049,205,701,685,544,740,462,937,352,765,212,537,121,381,348,067,954,566,136,
651,954,200,170,900,902,044,249,351,716,338,516,454,974,330,054,891,865,582,
234,136,176,312,241,773,527,795,209,739,475,809,350,874,464,960,186,604,128,
256,358,165,148,062,449,193,555,756,562,265,375,370,193,266,440,409,674,711,
273,347,140,695,819,352,668,480,829,496,801,913,715,104,242,701,549,083,553,
346,321,271,023,604,251,158,440,965,920,292,785,029,056,890,747,570,575,537,
663,206,675,584,165,821,489,379,122,629,278,861,231,746,303,517,923,407,633,
514,772,861,647,185,377,942,859,707,862,868,226,820,563,448,015,024,501,598,
727,781,689,954,775,321,332,001,075,399,521,465,134,380,313,438,911,678,938,
572,351,974,689,838,626,291,941,301,636,364,984,675,117,418,036,801,025,045,
883,929,358,706,321,175,721,857,157,219,691,692,675,181,322,621,592,800,058,
151,460,976,445,950,976,426,111,086,475,054,281,178,169,593,305,943,180,532,
152,397,349,083,161,707,437,273,350,502,304,838,515,808,145,461,922,710,003,
559,159,345,428,823,099,681,492,422,804,979,596,636,481,608,205,789,741,634,
008,919,441,362,865,275,169,451,537,564,004,285,859,604,251,968,885,411,364,
852,668,504,884,958,337,594,391,446,311,948,545,989,902,418,008,513,894,275,
516,413,578,377,494,764,297,534,353,807,495,663,152,943,205,621,004,774,081,
389,867,612,631,988,655,874,005,263,115,642,528,930,293,640,100,063,473,179,
488,315,128,858,724,217,976,019,813,780,586,621,249,566,023,077,061,618,517,
207,188,262,443,832,132,067,859,997,934,927,104,642,975,627,847,339,856,004,
000,087,969,163,083,814,688,763,807,813,369,893,088,488,618,712,495,194,163,
806,382,851,960,896,217,228,862,244,136,667,803,536,881,069,520,411,500,290,
429,316,304,824,023,665,241,126,076,671,092,083,304,425,768,406,803,542,855,
110,530,870,036,245,848,145,635,268,693,886,964,071,465,530,819,704,869,496,
276,432,425,037,130,104,080,278,341,033,277,561,554,670,463,286,931,865,543,
676,419,790,347,224,836,952,676,609,797,056,440,637,691,629,470,939,892,726,
385,984,104,544,084,269,765,808,133,293,324,087,961,091,916,801,513,931,367,
488,422,421,556,913,858,582,416,829,722,650,733,273,178,649,458,949,500,322,
119,158,769,355,105,571,851,438,448,381,032,000,939,127,004,077,048,091,131,
123,458,974,302,595,820,424,210,834,440,645,728,162,910,854,196,224,452,608,
796,771,119,532,025,058,860,999,128,837,847,086,893,369,292,410,145,874,041,
550,749,355,128,644,979,291,873,518,780,924,413,660,659,807,126,618,069,343,
994,401,809,452,920,732,424,140,269,208,592,375,987,099,102,345,702,268,897,
427,911,172,824,294,184,980,649,421,366,444,327,779,184,643,752,067,332,214,
064,384,739,453,016,848,264,856,419,432,452,900,514,374,472,933,093,348,101,
722,765,570,721,762,404,129,691,924,283,344,433,915,918,696,897,214,649,175,
447,546,784,124,640,491,535,663,851,273,715,439,467,581,101,881,526,483,391,
354,477,024,629,870,766,392,171,271,481,999,404,391,475,242,301,459,969,397,
252,626,183,376,121,489,493,747,797,376,649,713,575,363,605,904,178,191,922,
846,042,216,431,169,017,300,415,041,397,941,977,271,873,543,421,065,609,188,
324,215,966,023,117,917,670,070,322,738,724,396,646,706,807,783,721,940,966,
027,831,972,324,824,954,188,275,290,490,169,615,242,117,948,069,359,235,072,
788,911,785,323,046,120,919,086,825,735,807,035,523,802,223,634,986,416,737,
267,865,667,741,918,399,534,204,678,365,733,950,449,116,968,074,589,920,392,
366,559,691,397,114,289,936,804,560,952,481,950,535,453,124,138,035,899,990,
190,218,169,113,675,316,086,136,694,068,208,591,136,556,295,015,079,389,604,
383,235,387,407,275,562,252,660,992,093,611,411,194,174,045,382,373,177,581,
823,668,171,161,621,100,144,427,461,964,813,777,590,043,386,695,639,655,805,
980,578,768,308,846,790,734,128,850,151,282,680,036,280,307,332,043,404,797,
076,672,846,570,702,048,029,498,194,539,546,060,933,478,486,071,479,943,202,
869,379,317,941,129,809,415,409,305,685,588,522,904,837,519,332,039,119,440,
503,422,746,767,128,699,092,212,183,877,956,148,252,316,073,554,796,965,150,
269,883,147,314,883,047,318,665,995,849,009,956,450,210,511,625,221,515,654,
500,518,077,790,879,727,822,201,295,939,251,564,240,261,420,853,160,431,232,
427,368,180,299,583,817,707,960,254,380,643,556,787,940,645,572,771,013,771,
954,575,925,252,213,218,930,986,345,187,067,644,660,102,492,515,880,631,948,
720,652,245,577,880,815,706,704,335,367,220,980,715,798,470,735,036,333,967,
808,766,251,295,061,336,996,993,734,511,504,660,286,083,435,583,693,959,703,
432,574,338,971,522,140,184,661,602,061,588,958,326,194,075,350,478,426,261,
820,812,606,809,931,772,156,433,316,030,995,943,916,794,826,910,273,126,298,
948,241,975,150,076,247,355,237,903,901,677,599,875,678,167,601,675,064,560,
200,021,685,806,135,947,651,551,877,726,370,177,526,068,053,923,203,674,014,
881,751,758,708,274,685,076,196,058,944,608,846,693,877,213,900,758,111,421,
530,476,829,754,763,506,274,451,277,148,602,374,944,636,545,458,399,974,254,
624,721,629,262,499,101,482,354,783,857,976,555,404,588,129,485,263,232,914,
564,753,468,833,702,960,473,064,629,133,844,708,906,249,890,434,752,820,022,
476,516,336,309,076,821,125,236,775,069,634,760,266,076,295,473,808,906,555,
341,383,482,173,194,379,648,034,388,445,279,015,718,587,559,881,086,268,933,
824,613,887,382,626,797,070,663,184,715,375,053,046,893,556,526,581,609,493,
661,753,416,852,509,951,451,705,933,084,610,497,837,212,131,205,791,468,892,
469,184,426,092,540,830,443,367,253,904,636,892,055,822,936,021,309,426,642,
197,041,188,991,336,782,883,607,546,102,143,604,100,489,126,314,912,306,068,
310,716,043,415,033,748,575,033,334,138,139,406,367,915,061,554,989,004,577,
932,952,034,718,912,442,237,827,530,730,088,683,623,142,855,122,735,539,358,
392,873,672,090,637,334,548,539,842,079,925,418,669,757,734,453,938,212,152,
635,209,653,738,598,437,441,884,145,443,919,335,633,745,339,530,313,042,067,
654,270,791,738,960,837,646,223,046,173,801,633,521,436,600,261,513,526,096,
785,311,402,722,667,576,794,302,255,843,984,215,050,845,769,804,904,960,462,
242,115,307,050,522,523,321,851,998,640,609,463,414,990,218,334,899,649,790,
791,787,632,505,325,022,758,580,833,823,906,103,103,564,754,885,160,750,181,
834,603,635,128,932,300,389,262,263,579,270,584,996,712,982,990,799,465,971,
819,736,399,681,951,386,434,290,540,528,988,369,103,133,249,963,640,403,731,
083,148,114,773,666,865,697,501,412,039,734,985,500,230,329,492,527,038,422,
799,086,489,482,739,466,262,994,302,703,031,982,614,950,052,655,921,245,433,
698,372,262,360,462,054,238,057,738,390,958,898,518,770,510,849,595,206,443,
119,184,128,030,299,186,792,781,231,588,620,114,922,043,976,249,547,860,383,
442,696,422,291,656,642,811,000,813,756,540,409,373,541,622,103,813,099,349,
677,698,633,409,112,460,610,171,368,250,714,597,157,864,493,603,481,382,737,
803,131,178,734,286,525,648,769,427,999,651,575,997,303,745,453,865,350,004,
165,179,726,194,645,742,053,194,757,082,794,583,472,107,768,387,599,773,191,
096,226,146,614,995,717,856,305,040,794,946,314,647,119,252,665,948,474,678,
973,826,785,327,948,183,241,383,621,944,694,971,366,408,808,044,490,474,895,
118,959,444,813,877,009,077,837,266,588,595,143,806,268,695,273,351,532,541,
175,945,329,487,177,685,149,556,367,239,509,509,972,749,239,151,790,809,676,
679,514,266,268,123,961,161,136,386,490,907,287,464,564,449,185,283,917,272,
346,793,538,290,993,681,506,845,931,575,709,956,399,494,623,506,427,587,453,
851,262,487,173,181,333,937,898,493,955,853,120,070,698,842,118,001,146,983,
122,316,459,853,539,894,058,016,615,638,930,136,449,135,441,626,419,644,783,
509,703,946,699,686,082,126,612,489,514,600,259,265,129,283,710,544,181,629,
755,691,176,358,759,100,069,056,499,748,217,056,711,461,754,241,848,130,614,
134,275,967,936,519,230,675,331,094,415,849,334,320,227,690,241,313,025,416,
517,436,219,697,972,370,313,405,702,862,855,630,775,207,180,558,810,975,808,
084,348,750,056,593,773,439,664,460,821,999,897,782,720,982,853,988,889,975,
595,599,796,136,154,183,127,158,152,918,239,426,301,690,926,414,428,992,200,
765,510,058,034,044,220,628,198,570,847,204,909,313,631,676,370,052,480,022,
873,164,058,172,861,821,727,967,482,951,827,562,766,290,974,840,091,173,273,
663,508,163,767,356,693,420,560,862,996,608,556,547,045,180,461,579,127,333,
061,477,480,123,259,011,370,502,623,607,946,998,551,446,188,725,586,346,204,
285,394,568,770,683,892,906,173,367,508,521,043,426,830,369,966,768,234,385,
493,751,931,300,719,694,363,834,180,113,949,928,482,171,594,399,634,245,021,
218,233,374,994,720,537,356,694,888,175,261,883,109,425,440,313,215,934,568,
052,050,608,561,429,908,592,512,059,782,914,881,397,106,662,946,246,104,834,
550,345,975,756,407,194,090,530,814,501,777,316,026,516,330,749,060,919,167,
995,822,874,474,581,299,794,709,595,382,785,979,764,575,831,033,127,047,149,
287,060,300,277,001,971,117,795,825,853,765,475,214,843,600,332,669,813,981,
463,264,900,600,212,026,363,804,125,244,721,898,612,613,428,061,618,753,987,
182,643,879,139,213,251,249,563,043,085,976,741,275,723,065,306,201,440,149,
099,355,619,388,416,879,714,551,566,687,273,533,676,016,124,509,950,173,493,
313,410,984,213,854,612,459,739,352,661,510,899,248,669,662,078,556,745,098,
803,899,947,579,735,761,487,502,891,259,663,386,453,032,328,787,187,366,910,
364,327,464,777,679,932,874,078,971,367,113,590,336,304,864,503,509,861,693,
410,094,132,831,340,456,326,204,279,761,898,636,778,137,199,116,446,917,156,
230,575,173,633,704,015,650,581,698,928,432,914,078,112,098,552,664,477,069,
506,741,776,284,906,052,932,078,919,474,899,498,428,106,806,529,834,087,002,
470,511,805,301,494,260,904,878,587,204,893,351,674,345,512,790,807,405,411,
051,431,358,694,701,705,597,683,330,929,061,045,738,395,105,281,482,178,209,
649,973,161,561,860,533,044,181,514,029,354,140,817,934,024,476,325,149,220,
434,764,785,417,358,419,853,272,230,993,187,604,626,592,271,940,288,680,667,
609,669,444,815,238,912,403,263,176,997,866,007,802,290,909,797,546,506,083,
324,904,557,240,718,504,032,522,343,865,833,760,384,154,264,447,245,033,795,
848,054,093,248,474,969,082,721,846,019,297,946,485,037,734,411,241,291,640,
755,202,980,102,512,006,960,267,593,673,429,718,688,095,021,639,603,227,286,
434,460,722,500,507,836,602,299,708,597,740,633,561,442,085,564,915,237,526,
291,293,976,402,665,034,452,125,129,121,383,569,236,572,081,738,767,328,629,
989,263,256,544,966,977,072,150,530,917,256,972,158,750,224,012,280,965,638,
673,567,946,484,247,551,204,060,007,981,205,425,363,135,835,544,159,003,587,
089,743,086,063,638,123,558,144,346,348,855,945,087,560,136,172,194,965,863,
651,974,762,928,418,449,330,927,746,291,238,069,906,359,028,990,580,085,868,
336,584,031,432,023,235,083,578,691,645,529,818,887,446,687,915,470,160,400,
283,601,927,607,662,320,497,557,383,517,667,014,527,642,296,173,127,184,161,
123,346,904,516,375,724,326,987,922,347,146,033,727,075,542,061,156,709,484,
579,768,892,911,948,040,472,483,282,436,937,785,576,321,631,844,925,516,601,
428,536,248,814,370,368,090,535,189,166,145,668,869,951,830,913,914,190,534,
039,736,411,267,243,311,572,431,412,421,446,384,179,876,438,277,653,076,190,
153,254,617,563,905,798,997,751,132,641,020,161,168,598,414,004,900,179,397,
648,863,445,788,282,189,538,854,981,434,994,064,856,649,228,361,335,365,896,
061,286,778,125,228,400,090,087,327,608,998,831,902,316,401,063,032,815,638,
062,072,171,577,694,822,878,146,339,842,246,514,592,325,619,233,634,056,031,
269,839,510,282,159,476,064,887,204,467,656,548,923,392,265,964,255,796,684,
802,710,352,843,823,561,222,269,256,932,089,932,494,536,798,735,059,335,018,
547,235,035,279,540,788,362,145,138,006,901,264,076,902,275,710,695,678,153,
853,142,290,953,638,943,402,269,295,440,349,819,915,710,623,443,786,246,219,
151,894,875,888,828,779,235,529,969,332,483,243,515,382,128,458,375,222,658,
014,452,603,782,733,922,559,654,581,574,671,494,258,464,106,237,822,611,980,
037,560,294,503,590,647,363,270,307,689,687,869,835,378,596,011,682,008,312,
645,737,842,690,613,339,922,361,851,510,773,170,184,325,556,277,056,917,769,
833,400,551,489,872,305,129,446,930,317,155,949,017,048,011,916,130,516,109,
456,477,586,103,297,719,449,391,375,980,068,783,977,299,868,523,964,745,394,
555,072,734,601,598,820,696,283,232,296,287,172,448,198,055,154,744,387,842,
871,730,353,981,850,036,726,486,005,324,789,074,991,854,876,876,670,044,903,
707,809,067,454,072,049,365,123,323,928,323,879,319,904,168,906,324,972,450,
250,494,132,054,194,320,928,843,724,052,446,059,344,454,015,465,046,466,173,
286,917,120,207,481,625,630,557,433,433,680,511,133,925,424,670,543,010,069,
111,568,201,119,353,979,640,473,147,455,016,677,453,197,394,479,740,779,011,
867,843,162,639,532,178,904,700,574,390,459,115,855,972,528,162,077,626,080,
138,788,252,514,139,600,100,782,659,472,007,152,199,257,082,866,346,465,402,
720,904,179,456,189,707,164,930,940,739,938,114,108,361,304,845,803,928,534,
235,838,786,713,236,552,128,589,737,718,289,532,988,698,463,764,406,741,139,
447,023,109,721,640,538,609,245,168,000,222,340,901,666,862,142,648,847,837,
317,388,582,346,319,881,816,905,840,527,920,589,957,583,100,386,284,962,497,
285,304,947,366,784,799,543,250,878,628,026,099,997,000,914,622,990,933,371,
707,481,121,171,599,427,400,021,487,480,934,686,145,923,479,471,111,643,207,
091,843,714,133,014,597,631,668,417,057,739,589,600,091,520,772,551,824,611,
401,367,149,333,549,883,495,359,398,956,918,306,335,780,770,234,134,076,475,
836,305,494,161,185,293,675,662,889,641,578,022,994,354,724,482,753,073,283,
834,297,355,756,461,389,221,392,349,699,438,534,893,942,680,018,279,190,582,
622,742,657,390,486,972,529,647,460,435,289,474,096,673,877,275,139,055,328,
053,081,100,834,589,779,227,183,767,179,935,177,137,371,859,705,962,958,265,
597,155,086,226,499,158,108,480,609,068,925,159,368,857,940,889,048,183,250,
390,334,939,475,901,642,398,779,612,962,323,871,002,087,740,451,265,341,080,
074,734,605,281,210,446,490,250,034,340,598,008,343,563,663,079,174,941,196,
025,305,373,835,909,393,532,539,486,190,840,458,609,929,485,047,576,051,070,
638,021,241,446,816,068,618,271,657,719,237,113,080,278,507,488,506,912,601,
700,053,816,095,313,161,487,509,991,147,040,568,025,607,344,421,261,300,303,
343,620,151,263,317,214,110,150,970,908,801,241,442,015,561,114,640,895,036,
043,831,123,269,012,035,454,379,969,607,657,198,454,924,964,458,163,712,899,
025,331,988,903,266,545,891,929,940,301,272,632,975,114,630,769,691,910,613,
250,082,892,926,852,437,298,572,944,166,916,579,133,274,220,736,236,253,841,
233,436,877,179,536,060,127,941,602,086,232,973,865,529,726,146,649,026,715,
218,304,407,573,060,391,087,867,613,927,481,211,292,790,237,951,703,416,123,
962,976,210,172,819,153,414,875,270,232,467,229,044,642,340,738,018,617,530,
105,361,496,016,625,563,055,332,217,281,667,075,092,290,600,125,982,644,094,
230,178,960,260,178,315,145,438,686,214,679,609,250,342,001,079,352,155,028,
443,290,995,484,818,992,556,770,101,913,846,914,278,218,205,738,771,727,088,
333,362,434,599,879,903,106,914,008,719,831,312,405,849,854,278,522,136,825,
513,634,492,389,431,578,848,648,847,032,487,896,287,860,166,803,405,085,541,
683,919,076,279,061,530,506,702,027,637,087,467,184,055,132,024,072,322,676,
516,775,780,483,900,770,144,878,208,599,271,443,845,467,413,178,259,192,833,
963,552,253,024,385,343,904,478,106,726,982,429,190,039,690,861,652,088,499,
191,996,729,082,220,986,185,176,889,605,846,438,755,228,240,110,611,583,431,
640,996,614,364,122,390,949,083,915,422,179,718,117,364,299,930,347,627,010,
400,110,632,758,012,377,430,311,082,694,072,755,348,330,655,535,740,749,886,
428,893,827,678,893,799,175,136,001,174,386,078,135,173,719,794,557,400,721,
230,357,811,498,342,165,755,808,323,707,024,005,682,456,617,726,014,388,563,
413,236,731,652,208,763,781,257,144,668,532,990,320,711,850,397,288,407,326,
194,230,213,781,850,421,234,974,579,179,038,888,295,584,400,044,153,558,290,
708,152,473,157,219,069,339,128,513,745,685,526,066,088,252,791,938,690,435,
670,262,292,137,684,513,238,580,496,920,344,928,968,185,760,856,725,752,231,
878,942,025,375,894,954,686,535,172,353,897,491,389,817,796,724,844,598,017,
466,808,715,331,675,316,811,250,569,307,933,074,786,372,646,102,553,094,970,
278,114,339,804,446,616,380,145,845,943,416,399,048,331,434,289,280,547,285,
020,759,068,252,904,544,276,018,581,174,440,931,513,904,204,103,649,657,362,
024,003,662,771,339,195,083,223,279,104,345,589,775,733,951,049,373,442,126,
336,208,390,727,533,185,333,165,785,597,068,994,197,010,576,351,159,220,700,
902,972,463,368,604,148,919,226,710,040,907,432,573,564,149,915,232,515,820,
934,375,162,096,821,746,883,580,273,954,499,536,514,955,626,816,517,160,750,
381,253,659,947,390,536,187,981,091,683,500,597,220,900,111,701,686,912,571,
901,894,071,141,476,501,021,881,212,531,364,015,628,226,402,738,747,784,320,
510,258,282,272,595,816,863,108,058,111,357,866,607,803,873,368,137,903,740,
172,908,500,336,361,043,633,937,937,946,673,581,797,378,028,885,041,848,279,
016,572,145,441,179,443,839,508,450,997,129,023,156,832,590,018,385,681,117,
149,411,365,520,096,116,283,843,295,464,507,079,331,090,757,790,420,724,258,
420,346,692,763,670,241,163,311,786,688,877,561,574,860,843,370,108,194,583,
859,543,842,537,660,488,291,311,777,998,962,647,325,798,380,511,601,330,289,
214,951,536,291,588,259,707,631,783,009,817,604,671,241,591,919,106,643,227,
673,817,904,975,067,432,871,371,145,866,515,193,730,313,822,432,934,947,681,
882,385,258,531,125,163,654,825,080,690,309,918,911,944,828,005,931,062,373,
651,361,444,813,674,449,610,586,760,640,942,005,286,018,467,611,729,673,262,
866,004,833,310,767,084,887,943,082,122,607,779,885,193,271,237,752,433,967,
282,676,034,359,320,957,759,366,970,259,356,243,565,080,582,222,476,046,206,
908,948,596,956,532,082,244,825,152,717,380,951,223,572,026,422,179,986,449,
790,190,832,335,172,850,563,147,725,903,849,101,137,062,546,184,103,636,505,
808,874,343,905,826,524,988,205,132,748,033,503,118,202,029,754,369,983,508,
217,953,687,844,721,813,543,629,305,058,173,515,627,366,680,458,718,132,841,
422,053,960,929,289,234,122,275,863,761,709,620,742,630,773,663,284,558,547,
693,545,606,593,148,128,246,554,398,026,636,362,677,104,527,588,478,099,686,
000,808,010,841,406,753,696,711,601,016,081,964,467,033,406,352,500,830,521,
318,991,473,893,531,712,428,752,535,003,596,131,847,871,580,724,848,463,068,
155,601,328,236,602,964,810,753,995,013,999,424,560,667,735,163,790,953,583,
635,555,284,701,042,434,424,521,679,627,432,204,959,576,392,024,713,080,873,
593,553,456,053,081,024,490,755,077,338,999,229,085,809,912,977,285,542,119,
500,177,819,245,583,593,853,949,011,043,782,731,728,585,031,428,396,211,271,
074,404,234,006,058,583,971,815,372,926,278,851,262,850,733,919,261,356,406,
952,646,837,370,096,183,626,746,506,104,001,835,061,577,108,707,429,405,934,
773,193,126,889,514,208,651,873,858,405,921,379,219,285,383,583,990,629,455,
450,540,077,694,503,406,107,004,371,511,392,040,606,808,381,867,326,325,105,
023,381,571,459,665,894,714,419,488,436,061,439,256,196,594,095,284,427,171,
030,486,080,895,171,114,934,986,221,881,698,256,937,868,089,746,822,448,861,
888,875,713,479,538,355,548,308,506,832,091,542,198,828,812,512,385,513,151,
370,607,427,461,601,479,749,717,960,229,436,284,122,346,140,767,818,160,265,
240,611,118,338,218,028,537,465,834,203,380,474,862,390,362,347,062,328,688,
962,273,322,016,980,440,413,485,276,429,026,188,376,351,013,269,502,399,351,
904,543,770,326,941,488,175,376,012,730,597,639,763,955,336,357,636,808,988,
369,864,431,628,394,870,603,512,702,306,549,591,828,604,001,691,771,659,495,
809,878,477,063,051,064,412,275,435,370,038,422,279,523,084,424,264,723,639,
512,058,411,472,881,964,950,682,573,621,553,200,056,748,436,794,070,039,937,
922,528,182,724,287,716,337,322,302,635,591,298,950,254,265,213,500,333,431,
944,084,352,959,006,052,149,900,512,506,274,560,394,417,998,142,433,460,352,
036,656,126,167,097,023,371,018,864,151,192,125,403,255,922,755,327,577,403,
838,223,978,229,633,648,173,787,787,105,629,164,156,001,040,050,224,250,345,
744,482,379,891,677,433,826,547,658,807,796,573,889,965,372,283,373,190,494,
515,406,372,631,413,877,977,860,853,731,506,769,154,389,810,730,845,893,787,
796,775,413,209,622,686,254,306,114,287,685,637,810,012,604,130,779,840,092,
668,568,016,929,292,791,339,607,376,631,931,761,616,257,927,936,833,759,083,
149,241,267,019,743,036,259,779,927,799,947,376,103,953,588,679,738,486,451,
730,297,819,403,519,080,716,392,846,441,465,775,320,966,734,096,753,589,673,
733,179,071,483,260,035,583,481,029,889,273,504,799,425,763,035,034,498,000,
491,789,166,521,311,437,094,037,896,916,767,054,502,578,664,723,005,711,127,
673,721,767,051,281,733,286,188,594,355,540,289,668,857,549,603,340,317,448,
424,180,841,630,795,450,827,925,649,845,195,455,096,929,731,926,646,640,050,
714,780,866,353,028,010,163,182,588,676,997,403,320,737,457,451,627,937,956,
838,903,284,699,158,938,328,829,053,181,395,113,239,243,660,621,961,116,013,
026,264,286,810,301,453,610,624,357,279,999,456,642,288,906,053,518,092,120,
064,733,686,741,011,778,181,247,791,860,350,894,579,537,856,512,500,304,621,
567,765,255,356,440,358,045,291,869,969,928,863,136,755,165,687,588,885,359,
965,135,443,901,500,824,988,658,605,743,725,829,571,419,512,276,642,321,014,
906,375,492,326,792,963,338,721,958,554,293,790,635,624,243,950,072,104,102,
026,175,844,988,703,279,827,688,706,058,925,283,981,126,431,409,510,028,637,
447,130,058,687,237,790,286,436,155,520,619,605,654,480,105,617,357,186,589,
174,122,129,544,530,590,692,404,665,727,047,840,667,430,397,232,831,881,242,
430,317,842,693,164,985,795,471,073,895,935,772,520,523,664,994,043,680,139,
229,419,319,669,111,269,342,004,982,463,608,620,972,887,360,593,782,644,189,
719,701,246,043,989,607,273,783,360,823,726,680,744,518,958,038,279,457,096,
836,418,864,584,803,351,447,575,912,483,641,847,909,399,237,187,000,070,186,
433,245,517,962,502,833,136,070,263,530,720,888,542,183,884,352,519,759,264,
015,575,163,522,736,617,702,797,946,727,788,325,186,560,558,877,529,431,883,
608,470,468,783,689,718,174,958,154,412,864,942,103,748,352,012,675,108,079,
896,675,184,080,376,353,315,922,546,159,924,247,549,659,576,843,611,151,620,
275,138,861,799,576,263,787,454,197,121,621,217,285,471,337,397,492,937,663,
417,268,383,063,766,506,245,174,732,499,488,786,526,400,408,800,727,414,381,
671,134,001,794,530,436,327,596,798,840,173,209,970,607,316,301,626,430,010,
292,431,632,057,239,645,735,531,091,481,084,760,698,093,213,686,404,386,201,
810,060,159,786,716,787,619,717,036,410,037,975,753,362,593,914,707,196,953,
619,222,348,375,199,085,010,933,745,014,865,856,766,705,923,818,096,279,197,
204,447,290,571,669,776,493,451,490,833,574,433,590,032,288,542,446,432,359,
124,642,317,229,927,287,410,612,836,653,800,171,765,893,598,759,569,501,357,
981,236,964,290,589,195,868,612,866,156,440,958,044,845,336,126,736,838,546,
839,419,448,193,634,202,766,108,506,978,711,547,666,946,728,928,294,280,351,
193,699,225,072,749,352,127,766,545,349,690,782,673,954,722,952,324,115,030,
827,857,231,407,023,570,773,352,000,227,991,122,435,952,624,023,211,835,900,
779,407,880,907,816,164,917,999,059,670,247,298,707,107,531,943,158,300,359,
946,697,027,396,423,593,700,028,988,267,199,078,655,712,417,085,848,051,793,
688,866,637,638,034,233,010,949,551,224,981,087,702,593,077,532,948,488,902,
261,263,658,876,891,645,261,241,059,533,823,961,283,683,928,697,136,459,013,
538,827,866,487,302,851,040,911,298,186,392,857,715,375,609,649,698,506,133,
295,057,341,482,158,734,523,528,401,409,148,012,635,640,910,815,748,366,497,
325,815,391,335,394,042,463,962,908,576,603,924,878,184,077,698,176,051,730,
141,584,237,663,540,133,461,172,564,833,389,629,514,577,176,670,292,481,668,
028,966,175,412,200,017,461,531,494,742,965,763,517,067,796,352,028,761,419,
706,798,182,040,346,338,109,789,123,235,087,158,270,940,874,974,589,665,234,
910,472,962,411,169,967,972,646,339,724,372,449,074,796,692,077,331,921,488,
564,283,168,072,271,075,146,308,605,283,340,478,353,014,930,189,780,184,601,
854,082,297,406,545,941,559,215,373,649,421,275,744,763,502,772,893,430,211,
639,038,148,472,573,120,660,859,694,390,247,686,021,634,543,498,986,729,507,
556,104,048,597,961,375,132,779,155,407,434,164,990,125,337,104,400,619,378,
440,483,145,773,407,828,256,659,358,218,543,411,448,281,203,938,757,921,379,
709,798,314,897,593,256,833,917,681,128,505,826,946,587,292,761,745,245,383,
612,087,889,620,946,440,741,796,162,285,598,962,609,181,326,346,686,275,117,
424,683,957,528,801,014,345,897,374,135,084,838,993,132,459,401,886,860,701,
166,990,152,727,238,945,996,124,261,832,256,815,983,816,624,501,722,655,495,
213,250,888,803,027,604,086,481,289,970,830,135,954,016,946,759,133,821,882,
640,293,177,604,701,951,070,311,447,655,734,512,843,520,535,775,512,118,398,
071,138,543,414,052,946,959,582,542,929,286,120,958,049,887,636,169,339,168,
399,249,133,054,054,691,848,063,571,611,802,040,072,636,554,863,187,428,464,
294,075,322,147,429,430,765,046,215,604,660,530,355,267,323,242,103,021,940,
707,154,934,587,310,657,680,837,839,786,014,358,697,031,254,333,783,998,756,
104,716,355,715,988,985,276,963,747,566,306,772,901,277,264,326,160,597,618,
045,868,179,219,108,904,506,385,952,630,625,665,520,570,008,768,271,482,407,
902,190,897,836,525,127,421,019,914,133,954,138,168,572,338,758,524,881,575,
209,241,928,036,439,456,580,188,919,394,616,573,576,097,330,511,520,415,388,
402,491,010,057,096,211,578,205,262,738,405,294,406,623,455,159,114,871,266,
443,518,528,175,606,462,414,276,614,371,301,589,211,430,242,124,976,947,578,
923,386,792,501,727,949,526,884,748,697,079,863,250,605,505,611,067,715,750,
986,101,982,493,676,180,253,499,306,331,602,904,152,513,674,480,613,220,103,
344,123,070,159,153,117,392,513,213,237,320,991,764,936,785,582,572,316,953,
223,887,712,106,444,767,902,040,354,927,702,506,166,636,149,197,655,413,455,
718,493,259,637,977,232,083,586,176,010,214,144,127,008,988,511,667,105,478,
726,721,938,669,185,503,739,809,119,607,027,957,347,463,685,929,103,477,945,
818,575,806,949,871,325,229,720,689,072,927,481,931,367,810,775,946,373,403,
489,053,231,483,543,077,386,108,812,251,813,931,273,178,381,361,781,324,613,
081,481,150,789,514,498,489,250,564,198,164,021,487,126,117,954,412,962,405,
037,748,779,686,454,599,102,267,026,419,420,663,901,285,563,258,311,796,287,
025,086,747,103,374,300,530,385,357,608,247,107,671,855,038,357,722,795,776,
956,499,264,342,270,494,593,538,209,257,462,440,645,312,241,747,627,259,312,
341,298,226,261,612,887,644,788,494,088,500,396,096,882,961,748,484,720,387,
605,973,765,109,934,927,825,086,770,805,819,778,316,837,635,190,704,280,421,
119,399,379,757,853,083,785,079,357,641,381,890,302,946,058,653,744,832,427,
127,010,345,123,047,065,854,297,849,033,698,964,330,336,931,174,935,810,531,
637,778,380,989,606,719,325,161,117,843,214,499,305,319,684,345,647,608,385,
816,607,188,241,369,056,714,000,667,708,151,289,084,728,567,237,821,629,615,
581,833,602,548,403,844,086,019,991,546,238,284,313,556,600,409,824,711,645,
628,840,811,359,760,606,444,097,917,940,657,886,134,149,144,841,152,458,901,
084,893,912,437,085,079,312,583,711,176,958,383,078,614,183,080,736,055,922,
682,340,725,432,467,113,198,392,793,499,569,904,275,376,155,433,158,325,312,
120,865,098,716,346,526,169,429,408,971,487,408,519,174,538,007,256,058,056,
251,397,955,362,555,981,499,349,045,029,986,964,558,798,775,320,465,521,785,
992,073,641,338,087,456,969,982,223,265,025,934,125,145,746,292,355,282,899,
929,798,517,683,297,969,902,913,484,716,114,274,206,696,661,590,579,987,807,
096,004,326,729,351,495,886,481,460,818,964,729,937,976,416,901,244,110,131,
143,397,651,531,259,303,075,956,452,194,736,580,319,790,806,871,336,838,243,
340,423,163,663,553,203,275,635,261,614,209,327,535,862,998,768,256,956,236,
589,508,602,605,221,307,938,440,126,844,019,933,908,365,082,478,398,041,312,
317,897,187,177,597,726,949,966,069,939,243,981,766,938,641,830,392,082,803,
952,470,299,414,725,285,890,361,091,893,598,743,218,464,680,931,074,954,006,
858,669,586,375,734,741,238,855,302,181,581,543,312,927,395,983,854,451,550,
410,417,483,340,609,352,809,380,490,711,500,592,082,691,902,741,608,058,426,
517,877,704,561,239,155,999,149,893,879,728,774,299,684,884,211,016,129,337,
093,600,253,721,431,121,421,348,513,252,419,399,201,427,804,671,791,892,084,
496,271,411,340,948,846,629,758,737,741,481,109,671,181,387,904,742,328,715,
700,864,164,513,893,391,479,188,254,493,231,700,401,888,535,528,377,193,097,
064,049,775,384,963,596,873,675,602,760,203,606,830,748,922,450,598,784,101,
945,065,960,483,370,721,732,280,121,099,528,924,838,284,170,885,765,863,143,
194,529,472,279,087,529,079,656,721,606,077,857,235,435,950,682,224,120,593,
007,790,182,375,375,941,138,436,827,750,470,343,541,758,355,703,239,225,877,
317,428,093,718,776,781,940,067,104,358,894,530,384,734,360,174,633,222,431,
284,198,708,158,015,869,146,465,719,627,833,227,450,048,204,417,150,999,945,
393,904,361,849,865,565,753,074,112,096,657,910,632,482,923,692,120,120,256,
437,285,125,785,600,776,626,412,928,994,506,935,145,651,279,101,088,958,370,
086,041,581,197,175,930,273,296,266,869,553,036,658,391,388,771,534,804,130,
001,720,722,693,243,530,575,821,877,868,290,239,056,179,321,831,574,918,845,
965,255,776,133,228,372,768,547,346,896,376,471,353,453,686,245,274,021,087,
138,821,400,525,938,286,408,277,900,483,702,418,487,826,962,140,697,547,895,
642,237,966,185,475,998,561,792,387,622,564,817,460,297,547,220,008,130,865,
284,404,773,528,369,813,021,523,295,537,216,814,737,527,207,014,321,639,407,
513,507,457,723,898,839,308,649,983,084,070,558,604,172,327,488,269,316,255,
004,495,519,981,661,689,388,329,204,835,175,344,130,943,819,461,169,910,107,
927,258,343,162,480,145,283,266,118,198,966,078,120,874,884,146,395,432,784,
346,113,347,846,766,824,918,644,485,061,312,398,379,559,408,867,453,273,549,
660,939,624,529,092,665,093,026,825,137,236,185,451,320,811,995,271,918,022,
917,431,942,636,016,565,542,537,548,944,148,663,592,735,156,411,177,601,532,
289,081,137,149,685,693,038,323,349,876,259,776,203,025,209,092,195,967,937,
070,821,536,719,842,256,580,149,261,266,885,312,164,984,059,156,751,653,149,
834,856,064,494,607,947,150,747,777,816,479,943,616,726,296,447,487,432,419,
888,222,216,817,165,020,665,652,880,763,207,938,691,679,955,429,576,719,462,
503,890,405,618,601,629,033,626,384,280,026,541,017,710,193,908,570,890,318,
327,342,521,512,012,674,022,651,499,328,511,611,060,499,554,368,488,763,280,
902,991,105,524,136,333,490,169,109,000,447,146,667,793,164,248,191,778,402,
159,126,455,177,838,805,699,730,849,025,416,404,942,680,260,507,777,387,128,
256,467,485,174,818,020,198,337,813,204,959,097,142,077,607,977,207,535,185,
244,984,031,457,007,999,816,233,825,621,959,940,222,040,637,799,725,353,269,
767,873,006,723,662,335,116,982,561,582,206,601,989,411,974,763,708,504,790,
126,610,315,722,713,701,611,262,482,011,558,826,489,164,735,396,461,109,477,
353,002,962,670,179,217,857,040,778,568,871,204,844,460,475,758,440,894,704,
565,047,116,389,221,963,429,948,353,318,045,637,501,641,045,772,805,541,656,
893,415,357,435,740,331,082,968,553,491,883,866,305,136,532,011,708,593,556,
245,294,241,618,616,109,001,918,280,039,222,274,251,922,290,234,238,688,502,
256,349,249,213,259,102,631,788,981,539,112,646,351,364,218,457,513,489,432,
207,149,058,911,855,852,439,989,611,013,955,859,661,964,622,745,356,216,450,
626,948,789,732,436,237,864,970,889,229,591,043,290,255,693,091,051,514,706,
397,940,310,330,269,561,677,913,708,848,392,898,227,769,255,257,832,916,990,
164,877,503,152,731,792,734,271,106,855,183,199,283,759,382,956,651,258,979,
159,395,467,954,933,427,357,239,478,956,891,599,437,663,179,214,075,340,340,
792,170,986,455,823,709,671,020,158,136,101,393,070,397,560,512,276,778,984,
120,731,536,263,448,256,462,747,579,109,874,512,067,321,293,304,547,357,678,
629,417,216,289,074,024,857,904,812,827,911,792,286,252,227,261,488,481,713,
271,109,811,937,995,168,251,536,996,524,132,715,912,805,741,602,244,173,487,
818,092,058,389,915,298,682,210,552,396,255,834,777,949,042,035,452,097,061,
703,369,495,010,671,968,143,399,194,969,059,819,308,723,554,499,163,396,841,
972,687,597,418,428,531,774,173,932,008,604,366,727,404,125,215,334,203,302,
525,919,910,871,728,421,066,137,078,116,487,099,858,664,559,889,092,937,775,
901,804,433,149,764,816,084,862,432,081,367,783,525,755,219,886,077,650,569,
171,269,451,146,639,023,665,776,963,154,379,403,496,047,634,027,981,974,703,
916,659,734,575,832,163,707,567,847,194,645,865,452,320,514,616,825,473,364,
588,872,262,982,205,794,537,133,896,256,369,635,791,232,974,002,588,460,170,
550,958,613,123,402,604,993,822,608,314,670,147,996,603,035,067,556,472,986,
786,022,824,982,270,818,521,243,258,783,811,102,049,552,077,803,157,752,603,
791,737,228,547,113,675,238,919,261,658,383,627,055,256,644,562,492,862,262,
940,272,224,426,749,211,159,290,819,120,493,635,653,819,195,903,255,264,568,
415,546,867,187,553,285,678,800,253,294,357,177,507,069,117,581,605,187,873,
816,171,516,522,409,163,908,192,243,175,899,324,462,050,894,120,849,121,814,
087,093,185,829,908,931,701,856,513,835,757,404,857,314,045,259,327,378,672,
968,995,320,831,489,232,374,238,677,787,670,357,479,838,546,792,440,402,766,
509,074,625,688,614,576,243,284,589,973,175,537,143,656,898,705,562,502,466,
991,075,387,993,609,702,449,526,234,148,060,821,339,602,152,911,749,494,181,
958,484,857,097,156,478,583,530,363,821,805,357,858,303,579,497,624,076,266,
285,996,897,639,430,010,984,451,288,565,507,799,661,919,344,298,601,136,768,
266,197,058,614,670,936,021,319,881,554,500,867,669,214,839,371,098,339,491,
494,135,150,494,748,872,051,942,940,741,157,956,866,187,147,210,390,264,580,
109,670,361,644,705,312,988,174,212,508,347,279,923,964,708,256,812,693,674,
691,230,381,096,894,134,446,485,687,779,998,512,066,413,479,190,943,144,060,
916,156,063,710,936,077,773,355,446,917,489,761,393,035,079,516,725,436,723,
600,907,328,453,612,802,072,993,217,150,170,869,450,127,560,626,572,551,473,
723,553,777,396,800,087,279,287,869,347,296,532,434,408,366,895,512,057,529,
717,266,363,468,793,569,567,793,454,675,044,923,738,933,287,974,563,916,867,
623,578,598,363,799,899,552,306,779,941,328,372,100,247,889,583,164,969,782,
797,587,889,016,847,996,156,282,918,936,658,914,947,236,054,665,662,057,355,
852,550,756,333,460,035,408,008,100,805,812,285,382,541,092,576,226,505,994,
206,905,739,450,181,792,737,780,750,129,012,030,650,229,145,685,343,470,014,
053,899,419,148,130,127,325,248,873,191,161,395,449,454,124,274,184,235,887,
924,467,788,464,257,944,736,522,430,525,531,013,475,742,168,251,795,844,749,
667,562,089,206,077,834,902,079,434,435,192,614,416,191,852,900,284,215,443,
262,580,060,976,117,980,044,935,629,761,853,737,945,461,844,492,232,759,736,
158,601,506,207,742,730,374,512,538,684,756,634,436,899,709,450,757,878,049,
623,226,815,550,551,634,595,841,342,687,384,323,409,774,066,639,345,123,541,
401,861,425,627,967,241,130,096,718,388,073,554,665,188,454,791,815,375,005,
715,521,638,409,153,639,263,323,809,676,146,512,631,388,608,183,885,061,146,
980,401,077,447,138,336,895,693,329,765,080,326,651,325,685,585,282,788,554,
477,488,793,894,067,680,038,917,396,046,073,599,413,640,034,196,368,274,265,
807,289,255,730,554,583,572,136,773,117,822,914,854,953,148,478,267,776,041,
718,363,618,582,750,516,265,088,130,635,121,257,252,766,654,629,726,857,071,
822,726,340,952,349,644,150,459,083,212,215,858,340,171,197,677,771,956,569,
887,635,821,419,928,692,528,134,378,077,212,340,904,888,372,195,845,584,610,
708,711,930,023,448,056,469,526,884,713,889,990,852,710,432,325,905,181,258,
251,117,158,562,049,111,620,802,524,388,470,604,996,554,629,945,849,744,717,
873,517,333,720,486,579,570,463,475,694,644,524,312,922,478,444,436,460,261,
861,271,851,044,795,214,928,414,116,156,597,748,780,242,192,436,676,869,241,
547,150,149,126,950,655,172,827,336,733,517,240,803,862,256,885,559,332,171,
650,436,527,679,395,505,803,019,693,571,497,913,586,461,894,568,865,700,164,
413,268,844,223,333,690,311,539,947,141,886,523,386,146,284,578,675,803,344,
053,654,026,321,362,620,901,506,179,744,401,798,100,972,304,855,926,086,599,
398,926,293,170,045,846,966,374,432,686,006,715,316,044,839,298,067,711,528,
065,451,147,539,921,306,073,718,702,720,606,081,277,323,624,204,301,317,480,
310,801,703,107,013,183,239,225,822,020,916,230,181,593,658,008,409,851,319,
022,343,286,943,167,561,683,829,099,372,008,859,931,112,274,766,488,421,598,
552,140,232,457,409,016,893,494,474,713,582,456,974,461,182,452,169,017,571,
239,101,698,456,263,609,034,714,891,694,404,282,369,002,307,071,781,826,339,
184,140,478,034,011,723,359,219,909,045,238,183,591,949,783,887,976,930,997,
432,061,960,725,041,921,956,010,666,542,536,681,832,408,472,824,323,934,329,
844,351,666,872,557,930,542,612,986,165,490,867,553,986,609,016,304,798,572,
538,911,248,517,383,133,294,119,603,500,629,048,254,049,160,753,093,296,513,
575,688,764,589,825,957,725,275,083,409,840,640,726,430,876,976,453,886,059,
726,350,346,002,573,908,397,260,292,534,975,628,661,561,983,304,125,628,827,
257,692,595,991,621,847,057,777,684,445,338,090,815,714,245,125,885,470,320,
302,573,670,608,769,170,124,903,533,926,298,338,463,656,498,120,770,892,320,
444,141,742,289,522,078,977,731,495,473,920,669,708,002,303,986,786,227,080,
452,221,464,496,934,255,171,751,954,962,880,863,748,745,158,452,983,709,718,
701,805,034,760,818,752,205,904,504,938,113,290,816,642,730,155,790,201,268,
432,297,797,578,247,612,852,455,766,319,678,890,432,768,229,139,797,679,254,
185,270,788,181,327,306,000,505,064,742,571,198,974,775,608,687,092,151,106,
940,584,496,673,936,113,184,353,939,051,430,195,363,014,905,705,428,943,405,
562,832,996,411,699,335,359,054,915,332,865,656,718,613,815,263,988,338,930,
755,472,915,069,702,469,377,239,252,673,692,179,565,136,124,104,157,751,716,
592,456,376,243,423,082,642,396,799,287,248,070,751,560,605,640,934,050,547,
870,472,037,916,178,554,525,120,548,825,362,027,327,514,798,790,016,335,126,
982,219,305,310,456,313,908,831,344,748,227,025,683,478,403,653,408,716,286,
088,614,891,904,293,515,811,308,629,917,283,164,701,020,800,657,377,889,763,
947,700,289,379,975,392,990,904,862,031,896,345,880,126,538,910,938,935,072,
541,510,388,205,527,734,930,114,604,160,953,793,482,353,409,624,689,877,330,
689,155,432,026,363,292,956,352,217,215,047,669,674,699,375,340,327,616,833,
306,631,600,510,686,894,865,510,120,080,694,730,019,431,745,541,921,037,612,
001,653,541,273,064,916,337,439,989,573,094,933,313,050,832,781,942,581,090,
780,923,168,421,935,276,394,609,248,572,802,188,230,492,746,026,798,472,546,
864,697,912,972,758,698,353,376,140,255,683,656,055,506,367,295,496,213,153,
942,314,698,188,450,980,587,414,466,983,526,896,062,485,311,673,752,368,115,
847,029,530,917,320,227,111,585,323,437,841,849,709,225,503,107,414,368,151,
806,133,179,252,412,656,196,347,234,782,740,454,064,384,836,102,785,430,357,
189,704,243,409,973,478,651,431,871,270,055,375,343,553,036,275,452,142,061,
526,851,444,570,762,129,158,466,506,794,539,243,681,559,320,652,477,087,896,
748,540,291,382,160,312,799,069,853,752,344,880,820,791,602,542,434,370,357,
451,376,544,130,482,039,702,110,457,873,971,041,852,835,430,707,313,156,103,
705,711,534,121,055,183,902,048,744,930,740,712,753,246,565,707,561,395,025,
825,923,651,627,223,414,469,970,337,166,838,464,404,568,027,102,020,132,734,
397,572,081,901,286,628,777,521,827,684,702,501,517,693,920,424,008,401,154,
669,073,459,085,912,448,599,698,704,251,275,333,277,447,265,489,390,968,395,
570,001,029,210,801,572,968,034,197,070,453,515,877,964,212,518,359,726,516,
645,771,975,697,539,552,081,189,050,921,877,979,668,461,473,638,847,135,421,
060,790,376,582,285,920,996,170,498,179,826,226,768,067,680,136,861,308,960,
395,302,867,276,597,706,808,197,066,120,106,378,819,559,584,324,892,373,272,
411,248,551,599,299,446,667,677,332,154,352,513,128,467,358,004,306,393,983,
746,033,841,287,914,893,917,016,960,066,297,886,422,753,707,865,553,897,058,
746,250,756,175,610,939,531,759,032,192,920,003,210,345,325,152,178,160,427,
654,952,721,455,535,177,850,229,458,122,228,580,444,272,149,545,189,437,387,
657,505,103,282,422,268,073,098,600,805,950,787,965,856,879,235,820,352,340,
265,305,962,442,429,708,469,588,251,353,015,564,625,302,068,922,627,775,590,
637,737,598,827,753,888,073,881,236,945,781,469,169,222,847,582,580,966,991,
465,767,738,170,670,429,314,754,204,983,256,124,987,305,736,381,864,763,649,
278,609,920,528,194,357,644,062,361,850,742,489,773,171,526,926,941,413,063,
154,785,996,750,851,969,628,923,003,814,168,174,491,788,451,727,682,677,801,
073,376,619,257,919,695,330,266,041,936,575,780,823,999,341,839,161,954,257,
548,506,955,192,536,453,654,141,818,548,948,281,516,393,210,019,263,422,555,
503,916,266,208,367,582,996,431,923,216,944,429,462,079,026,375,380,449,960,
541,938,869,276,272,524,535,851,485,340,143,513,300,000,097,149,929,040,249,
076,098,372,141,999,186,603,471,948,975,730,852,040,799,022,100,635,251,466,
028,127,895,830,727,528,569,279,399,249,011,140,353,680,942,721,526,561,291,
036,804,156,994,329,321,195,564,885,374,996,826,526,136,127,008,381,434,768,
162,458,805,324,383,906,626,448,897,745,805,772,240,018,431,815,893,106,186,
297,273,622,876,822,361,473,357,625,794,485,207,620,490,303,682,191,568,905,
327,706,341,160,000,148,083,221,026,456,694,153,615,674,263,631,410,015,225,
274,246,983,372,543,763,909,950,825,859,252,071,635,002,570,976,843,492,592,
215,997,945,131,306,694,989,644,450,313,510,039,044,599,168,006,681,913,670,
170,203,544,105,001,748,055,446,348,492,591,033,944,406,383,778,579,485,528,
392,730,029,776,480,955,428,826,764,304,005,440,094,381,666,520,554,227,685,
612,542,430,441,810,447,948,379,746,211,727,543,699,198,353,688,488,896,605,
057,716,612,445,744,538,593,232,254,699,908,708,927,189,002,525,362,929,385,
324,191,988,128,840,677,067,490,420,049,428,459,456,148,557,183,383,983,875,
879,931,348,925,003,183,367,497,914,533,095,150,813,106,498,264,184,109,532,
515,547,614,624,324,910,403,474,472,289,631,348,106,964,390,618,750,490,923,
134,404,425,696,360,678,236,235,371,004,492,560,732,385,725,360,576,925,036,
007,179,874,094,766,801,101,049,063,921,317,265,459,386,709,866,303,362,974,
608,278,983,641,396,069,887,512,177,029,578,743,622,345,600,850,544,642,911,
190,886,006,982,599,093,750,298,905,924,647,360,317,347,893,469,992,332,061,
329,764,916,624,792,848,573,687,494,251,069,131,547,478,951,028,073,184,042,
281,619,957,888,919,705,028,470,856,326,648,699,073,708,681,098,001,568,487,
495,195,164,067,804,529,201,630,394,690,094,329,503,979,025,718,277,982,353,
679,021,627,362,206,413,310,348,744,918,846,420,064,691,429,921,897,101,061,
883,287,207,823,812,706,037,456,691,688,408,388,323,623,109,508,324,291,578,
527,262,661,059,939,083,647,957,995,225,469,813,254,355,794,049,564,024,919,
281,498,390,713,159,694,273,215,042,406,717,265,681,739,515,736,733,561,644,
974,118,179,111,422,366,938,023,709,462,171,201,715,760,074,514,796,045,860,
317,683,411,223,111,323,252,604,514,364,951,154,942,970,128,996,366,504,406,
571,054,313,022,225,116,763,434,656,385,102,709,571,262,459,622,912,279,116,
224,694,348,378,417,978,459,398,546,622,231,263,984,072,993,374,626,769,636,
806,679,160,644,582,281,316,466,166,554,292,132,347,996,866,175,425,093,561,
256,601,839,984,341,535,100,905,382,561,974,723,009,114,903,292,500,319,275,
384,959,039,135,533,709,263,978,486,280,174,730,305,227,442,175,201,287,553,
628,583,494,636,147,531,653,319,155,626,979,813,013,713,903,129,272,508,634,
906,651,819,332,311,033,837,061,055,801,781,544,292,014,541,462,134,778,757,
176,526,567,462,750,845,520,790,074,238,582,368,264,266,083,152,101,735,746,
482,773,932,428,397,928,161,813,601,345,541,048,339,831,155,462,164,756,691,
900,984,085,463,491,486,155,933,217,618,171,045,999,965,826,666,467,903,666,
238,693,811,978,216,869,725,364,787,303,861,841,373,848,132,945,755,904,880,
921,786,343,352,158,133,769,879,052,992,310,253,869,103,418,118,172,096,011,
967,985,152,732,868,298,608,128,074,309,610,635,136,901,763,659,913,231,657,
493,655,454,738,221,437,453,199,718,895,093,635,542,604,069,054,906,273,775,
597,930,501,110,024,441,290,676,880,184,048,090,311,372,055,171,100,381,795,
653,675,949,488,499,226,099,417,551,740,045,832,920,113,176,308,555,760,751,
161,509,041,342,095,273,818,710,427,082,680,070,176,942,616,454,095,410,579,
630,984,410,367,372,364,566,532,771,477,237,710,592,922,307,486,318,801,228,
675,234,653,094,408,508,041,401,124,197,146,253,710,984,930,837,214,577,849,
053,767,059,550,533,777,475,385,203,919,985,228,550,108,789,922,719,061,842,
029,951,566,670,297,286,251,280,581,730,111,669,864,507,170,426,186,636,251,
663,873,296,657,271,568,078,746,614,866,177,898,899,128,250,924,479,763,418,
135,355,323,482,939,876,451,906,389,058,667,888,647,371,204,431,375,704,496,
186,030,804,694,156,593,380,847,632,962,750,074,506,677,190,370,043,917,381,
262,206,567,167,584,809,150,551,983,173,174,262,583,732,609,829,593,432,017,
346,821,506,485,164,101,376,777,926,403,371,603,609,812,810,503,475,571,669,
126,456,715,738,265,695,731,494,304,147,480,130,571,933,897,132,820,150,424,
996,572,120,407,652,554,541,284,164,728,543,418,820,161,634,066,085,975,586,
078,634,522,898,460,006,545,460,564,845,444,898,467,467,566,019,530,896,229,
776,242,889,103,993,302,625,432,756,654,652,187,905,245,877,211,310,095,283,
604,341,333,484,049,107,897,656,725,963,943,555,486,980,530,907,729,028,433,
675,192,589,597,584,907,653,471,574,419,938,573,147,252,988,141,726,796,837,
806,856,393,619,092,192,602,105,675,251,464,853,651,026,063,987,048,698,131,
153,238,546,563,903,739,367,747,001,123,002,266,852,243,749,638,791,924,720,
473,114,715,704,517,075,761,629,575,584,898,758,828,743,252,056,004,585,366,
276,301,002,479,058,399,775,266,034,754,471,667,992,433,725,423,598,433,534,
345,235,841,969,477,405,047,973,978,869,829,172,131,330,172,962,363,310,958,
322,097,814,899,149,771,375,649,768,705,419,785,812,982,031,009,481,794,879,
376,725,243,019,551,491,293,771,096,470,546,573,978,953,989,921,995,351,436,
302,158,190,589,026,148,458,664,692,316,801,496,677,468,806,626,139,806,832,
545,269,758,586,453,870,283,452,022,728,254,469,847,901,374,598,368,700,673,
316,631,108,686,213,062,166,579,577,321,469,126,987,448,653,905,652,888,310,
380,005,030,600,887,338,962,396,605,830,720,510,437,806,178,160,026,771,326,
601,886,399,630,281,592,052,969,757,242,607,236,090,657,758,461,636,219,456,
142,124,258,415,817,178,847,259,135,061,838,877,861,013,187,272,242,177,371,
837,121,467,653,503,870,062,791,915,811,373,154,166,178,254,129,573,674,871,
102,101,514,356,401,474,840,928,066,370,362,609,221,580,622,791,353,859,878,
873,079,766,822,404,351,267,003,726,011,964,841,507,842,471,269,063,589,911,
984,441,835,233,915,731,869,247,496,583,851,557,946,169,982,651,738,830,618,
160,771,048,940,574,517,829,017,945,903,673,709,223,496,220,874,390,510,662,
201,955,959,711,141,449,488,825,436,924,674,612,772,438,111,184,419,551,119,
588,192,383,005,689,567,600,131,377,981,939,724,886,064,501,575,126,937,197,
644,947,698,109,300,023,424,394,752,775,937,212,833,741,527,675,251,849,025,
374,905,302,669,467,441,196,936,167,466,923,880,504,817,005,572,954,665,059,
252,023,046,624,946,599,116,216,896,652,281,133,789,913,040,313,115,888,566,
309,250,638,878,753,094,696,771,635,050,456,297,879,478,860,068,681,352,059,
102,400,643,400,000,931,302,837,050,763,851,921,059,025,091,731,239,349,119,
563,007,280,008,092,557,088,714,952,681,389,504,423,849,092,476,352,460,666,
201,824,281,125,814,680,043,224,356,220,611,235,370,109,698,061,835,199,779,
027,241,700,380,873,570,492,592,770,319,898,583,166,898,401,663,381,119,454,
653,982,326,747,886,832,793,258,174,437,741,011,908,267,783,525,156,180,101,
531,861,246,600,884,551,358,958,643,708,347,326,773,535,911,644,306,808,707,
961,346,904,546,676,691,052,921,855,972,120,193,182,208,139,310,568,893,177,
839,625,020,074,148,048,718,456,865,486,070,376,544,206,709,268,275,524,015,
753,626,729,799,638,267,213,602,683,310,241,999,630,808,726,358,827,522,832,
367,937,015,903,366,693,352,633,519,160,225,279,182,895,256,705,057,165,869,
267,820,603,795,848,666,872,267,882,055,704,708,690,435,225,953,001,536,282,
179,296,853,110,335,243,206,572,040,827,736,069,176,338,017,296,579,976,940,
972,809,457,311,163,116,725,164,460,899,115,723,118,984,118,375,821,033,049,
455,041,575,322,299,237,978,450,078,389,134,336,011,799,422,550,164,451,954,
480,216,829,349,055,727,607,645,319,976,154,711,341,948,662,314,412,018,597,
786,567,450,099,242,134,714,434,485,600,683,976,838,118,608,589,971,667,067,
230,220,135,824,211,052,286,474,278,696,511,521,577,670,868,719,116,957,828,
924,435,358,861,453,009,009,185,401,661,134,031,812,540,116,861,278,070,447,
779,461,096,135,694,648,775,420,608,909,170,631,337,033,389,806,292,386,884,
441,495,347,094,091,709,697,072,756,271,527,578,079,663,502,869,838,158,506,
324,717,203,063,072,332,181,215,018,787,773,336,281,346,930,177,337,722,847,
877,423,852,086,277,864,377,695,107,129,255,803,883,921,585,506,918,121,617,
894,915,621,605,527,581,053,808,139,635,196,176,426,254,828,840,854,076,607,
425,476,493,168,275,611,302,144,184,817,913,246,206,587,706,958,167,216,906,
115,389,739,839,555,976,378,837,977,669,172,745,858,074,941,254,771,415,082,
124,585,364,209,956,436,395,970,901,193,225,451,901,023,696,206,410,398,637,
159,388,534,651,425,896,468,284,201,375,187,972,550,827,448,219,152,705,550,
997,363,943,323,097,485,198,074,304,058,580,839,886,131,451,138,681,447,078,
613,613,528,246,486,735,472,579,950,217,392,683,486,402,790,505,830,926,150,
704,153,475,811,186,446,339,183,700,102,316,937,067,339,317,039,595,312,177,
133,827,397,096,813,034,442,252,113,613,525,080,716,797,493,113,333,120,386,
881,434,877,103,558,418,538,011,551,668,053,417,380,672,759,403,380,046,852,
864,371,518,516,507,666,496,835,789,391,916,325,077,055,500,407,303,762,930,
373,991,200,046,415,361,981,428,840,870,460,019,790,273,754,515,770,560,053,
608,702,162,634,226,727,922,641,825,779,009,729,442,995,099,720,399,854,423,
334,133,149,232,155,362,811,068,957,145,218,503,970,058,767,105,064,128,387,
188,554,261,865,231,478,123,371,892,494,108,457,094,011,413,656,778,475,284,
778,775,516,058,772,946,217,559,899,296,804,199,846,205,130,845,501,118,009,
111,380,228,958,124,985,254,276,823,865,871,403,483,361,025,112,548,486,043,
073,387,190,861,312,272,239,336,577,466,103,737,687,957,982,357,144,996,384,
906,215,161,978,198,218,756,684,751,473,250,833,041,666,926,578,441,651,160,
072,020,234,117,695,584,242,223,101,534,821,736,512,830,694,951,838,811,806,
726,680,457,071,340,408,521,055,610,773,683,550,766,751,080,257,428,646,414,
335,486,454,656,439,101,082,058,180,459,304,270,374,211,048,812,593,757,563,
682,575,728,185,911,391,008,705,026,206,530,243,400,011,077,716,323,624,318,
633,683,644,763,297,682,690,595,643,852,207,557,903,086,672,978,086,256,566,
112,371,901,977,711,366,972,939,409,653,869,072,866,010,472,353,090,694,793,
797,065,186,008,605,196,680,609,820,542,531,686,651,624,570,563,806,527,904,
361,997,892,065,481,376,970,046,048,608,891,212,521,174,954,878,507,618,370,
203,148,600,764,805,170,082,283,785,819,707,580,504,798,616,821,289,893,532,
435,545,572,547,478,216,109,538,885,285,376,905,179,161,957,808,554,285,121,
549,331,649,658,052,140,934,569,997,054,890,300,151,870,207,734,501,776,640,
422,272,156,181,620,758,870,342,767,787,498,890,287,135,945,916,352,900,730,
871,118,177,734,923,683,093,814,443,748,160,890,611,123,823,737,452,384,465,
439,991,299,382,541,495,731,626,780,414,920,968,168,468,910,493,419,626,488,
333,843,559,705,742,127,997,612,285,375,731,816,121,049,971,475,726,566,177,
947,120,765,813,554,634,370,738,729,492,863,039,595,556,335,634,497,010,755,
793,419,171,156,034,637,807,373,119,980,510,654,104,240,663,564,134,595,744,
681,874,943,436,050,502,554,467,433,929,638,870,848,528,314,376,470,985,614,
190,833,074,673,174,602,781,004,797,092,278,331,444,564,721,809,415,956,526,
823,639,292,698,150,948,041,396,929,395,474,373,859,050,568,403,887,143,275,
320,519,027,733,524,434,181,559,549,747,612,490,605,361,714,993,242,426,387,
198,979,890,036,037,049,491,055,716,466,450,710,581,527,689,290,583,938,300,
143,445,007,805,859,583,367,081,894,954,436,794,069,094,629,224,584,877,003,
977,953,816,104,002,165,536,426,136,448,614,065,805,944,944,272,831,779,291,
210,913,810,250,479,525,083,342,754,917,629,713,000,227,075,425,838,581,742,
990,292,060,367,229,757,170,441,146,259,282,868,586,708,501,487,382,502,786,
010,241,374,203,962,926,843,142,533,598,586,925,599,653,025,285,843,639,051,
206,222,407,781,462,935,138,304,556,483,261,331,077,174,195,572,476,726,532,
243,093,537,094,056,431,850,885,270,682,241,606,451,838,235,691,993,164,041,
002,344,521,639,627,189,067,240,676,967,547,978,061,270,089,541,305,559,695,
155,374,067,150,555,387,140,341,111,500,874,325,717,052,377,598,139,167,254,
371,183,972,312,607,617,241,926,534,048,356,536,892,883,142,588,644,579,747,
567,128,003,336,872,824,864,740,026,431,805,202,071,206,234,670,840,020,051,
000,944,756,642,533,645,516,519,573,428,791,251,818,436,523,226,976,872,681,
305,986,722,293,120,507,493,359,048,059,715,330,757,830,482,402,740,245,510,
001,757,946,079,330,159,091,192,847,033,712,905,294,331,661,471,652,728,678,
434,554,819,784,416,583,638,089,863,193,544,764,342,372,893,694,361,277,950,
212,564,633,128,227,497,007,451,015,047,992,966,456,972,683,310,907,814,069,
059,245,945,360,802,685,781,790,807,790,242,469,510,251,904,769,924,640,536,
742,218,105,490,485,443,550,670,489,377,451,191,356,769,139,138,559,649,664,
084,324,852,317,964,879,770,448,269,899,650,264,042,618,488,846,320,034,685,
700,837,221,125,765,916,983,640,928,561,850,255,578,432,851,363,968,318,629,
941,158,754,363,575,918,283,381,030,086,690,679,213,830,913,613,746,687,438,
344,322,768,426,533,660,172,113,146,348,279,804,901,995,996,299,718,763,888,
991,715,036,058,306,969,204,334,694,380,472,767,903,634,183,831,061,646,396,
894,115,020,471,378,610,791,373,969,681,542,926,461,495,871,739,259,487,877,
188,200,956,855,671,789,267,844,529,635,164,621,721,594,719,101,919,039,648,
857,567,278,646,332,809,542,071,908,191,581,099,942,003,207,190,107,519,591,
948,529,660,611,289,859,106,973,250,227,650,279,017,571,922,400,210,530,292,
476,107,754,107,216,217,926,576,350,240,493,967,785,782,545,617,989,068,720,
785,778,659,211,201,684,354,591,745,572,944,493,605,184,843,821,839,117,234,
418,922,047,116,885,674,995,638,973,196,082,093,112,490,897,749,712,136,976,
581,219,024,098,297,909,487,350,731,162,749,427,218,222,900,382,612,560,155,
115,326,543,078,891,590,134,568,750,800,791,420,308,798,073,347,949,992,845,
765,275,433,915,529,098,042,853,986,046,345,300,077,004,958,538,830,661,640,
899,109,851,289,348,081,387,817,942,871,069,824,218,568,844,629,010,345,234,
185,575,745,066,254,934,928,778,263,078,030,814,821,851,481,675,300,981,972,
124,481,154,246,060,826,089,923,761,390,815,150,578,869,104,241,841,720,730,
841,788,564,794,272,461,909,396,456,230,901,585,164,067,414,310,609,535,909,
402,070,697,766,976,052,228,900,167,745,721,626,231,583,016,299,382,883,212,
325,026,882,479,919,443,093,702,565,725,859,474,661,387,236,336,224,777,193,
905,677,044,333,017,870,891,143,557,120,643,351,164,813,500,598,122,192,208,
024,563,448,406,021,258,778,793,356,450,787,167,462,211,164,650,055,358,231,
019,537,137,442,323,045,391,224,869,799,830,260,857,046,995,077,770,355,033,
539,764,996,895,382,170,408,099,893,517,838,715,028,725,981,645,854,528,503,
636,669,249,642,713,390,190,344,329,857,907,063,217,222,126,302,530,409,404,
701,908,286,031,706,998,111,049,644,483,805,067,857,156,905,382,216,515,438,
250,863,657,391,553,003,372,329,425,061,477,340,402,027,472,965,251,623,248,
164,026,061,376,511,543,272,954,625,670,393,867,451,613,036,362,944,226,891,
265,379,041,904,346,468,199,622,640,950,099,902,871,411,836,386,229,427,031,
089,077,010,219,225,625,691,685,205,287,569,787,973,959,671,262,025,511,647,
285,451,861,345,319,677,513,543,832,547,665,799,089,771,490,421,739,484,480,
649,107,088,221,760,041,936,602,797,272,859,760,028,714,951,277,018,197,014,
855,452,508,030,204,195,729,544,022,678,592,735,190,296,307,556,378,532,073,
773,883,218,992,891,665,980,361,595,516,157,528,163,049,081,334,897,223,232,
565,595,441,468,277,690,147,745,107,283,519,151,548,091,478,749,706,831,833,
868,528,149,172,874,250,848,647,941,593,443,770,672,389,090,101,693,865,721,
033,504,945,179,178,609,910,356,716,804,255,206,198,152,204,156,753,593,671,
585,026,274,191,878,542,315,892,959,343,819,038,487,431,092,938,940,734,990,
160,370,323,108,522,255,200,342,800,818,686,288,872,576,340,984,478,477,274,
695,209,698,724,144,858,558,359,181,760,305,140,602,277,812,628,397,759,730,
551,379,835,486,754,819,547,394,721,285,081,596,232,609,016,561,853,917,124,
426,712,206,820,319,744,885,228,708,424,151,418,951,121,109,983,727,073,607,
126,165,048,702,768,171,604,952,830,203,873,483,687,282,818,682,938,404,424,
011,313,262,032,720,938,939,556,968,540,647,919,025,484,029,035,930,406,642,
988,090,836,785,335,722,321,777,409,989,535,082,686,204,664,715,834,581,126,
120,106,491,894,884,278,151,162,462,024,577,284,834,289,197,027,543,754,355,
201,432,562,114,582,759,886,396,419,291,424,795,820,256,219,454,019,374,137,
815,422,055,287,705,543,826,144,312,265,779,645,871,028,622,852,318,651,747,
452,199,592,259,080,986,331,177,436,611,850,323,147,924,687,432,857,306,045,
302,940,982,324,635,164,047,362,574,064,046,144,343,043,576,553,591,475,957,
925,577,479,910,894,391,112,746,563,018,892,687,039,865,563,121,769,333,113,
663,907,892,221,824,388,468,361,589,508,282,637,339,831,280,770,215,145,081,
881,015,750,154,074,171,105,652,826,226,686,466,152,265,419,231,186,199,215,
098,151,648,613,621,754,190,217,053,881,254,075,604,877,650,819,254,074,871,
247,654,952,545,707,613,582,264,356,992,952,428,163,616,812,496,969,493,601,
864,603,395,959,192,523,934,855,222,657,213,820,587,778,494,166,478,560,039,
883,533,621,780,008,521,994,171,350,445,941,986,373,085,328,877,240,249,017,
362,911,304,393,797,426,637,059,895,883,599,860,562,850,497,745,433,763,265,
325,022,392,555,231,325,297,311,052,505,241,840,596,643,885,834,129,828,349,
647,499,233,893,658,113,357,395,972,836,057,654,334,642,029,408,024,987,140,
448,887,583,671,704,518,835,738,248,621,416,324,687,603,801,781,513,704,614,
379,402,494,962,298,164,573,323,828,699,731,698,137,695,980,758,154,579,116,
794,274,300,750,751,502,690,841,339,738,318,617,948,664,016,942,587,431,096,
279,022,611,336,758,933,278,466,349,917,244,617,586,320,985,891,495,407,193,
280,653,001,919,969,654,678,944,385,278,511,271,662,566,303,049,558,839,839,
833,570,805,637,603,612,950,897,106,029,440,171,441,861,134,611,227,586,653,
411,977,540,153,654,740,206,510,390,673,749,831,981,055,497,903,567,311,747,
961,425,459,420,382,772,454,903,637,706,708,790,748,419,510,181,754,254,727,
930,758,391,410,491,804,128,383,348,611,550,078,216,216,317,185,201,414,520,
334,980,106,353,238,364,663,459,630,331,551,196,461,655,913,052,423,267,429,
396,893,730,639,942,002,491,626,108,027,858,842,851,174,156,220,144,777,573,
993,634,052,897,947,151,529,137,679,281,784,598,220,812,623,966,561,120,235,
463,257,487,573,529,116,601,273,789,313,364,691,388,249,638,728,898,893,957,
606,387,554,000,271,295,781,673,550,210,274,829,165,676,765,941,299,338,334,
043,597,868,662,377,899,904,426,046,585,300,966,357,771,543,317,618,582,013,
237,884,195,826,154,608,781,084,508,939,969,138,454,552,636,509,319,426,590,
013,729,947,144,555,548,139,852,449,214,493,251,699,311,747,553,847,572,582,
091,215,372,614,331,290,286,363,476,176,916,815,634,444,220,258,251,215,266,
371,657,399,504,132,193,100,771,054,898,087,693,995,408,097,409,573,996,339,
837,915,260,696,128,518,194,437,345,083,018,444,449,478,831,658,030,316,631,
917,967,123,986,367,879,100,543,743,768,989,962,249,198,405,189,189,968,521,
231,570,277,617,690,218,214,024,212,333,406,717,102,835,684,208,625,009,018,
888,871,467,066,441,714,573,912,874,434,537,601,528,825,421,586,616,714,614,
927,170,120,117,871,615,676,614,685,806,445,574,724,967,344,338,194,476,614,
296,030,588,702,266,052,782,611,202,190,709,456,217,355,233,973,881,930,744,
556,102,823,742,753,418,493,043,621,007,828,990,128,533,370,190,171,428,517,
436,758,328,922,848,839,587,425,296,876,356,916,515,092,251,218,634,970,634,
517,691,330,407,700,241,159,696,845,363,814,037,063,238,894,232,977,052,798,
431,879,643,759,416,889,131,719,728,501,592,854,271,409,628,597,482,865,604,
843,366,287,451,424,430,451,359,954,142,932,058,022,307,052,297,938,350,411,
355,624,287,019,712,933,739,879,707,466,191,808,487,231,499,474,110,064,782,
145,409,069,119,487,280,764,536,749,466,510,063,776,274,598,891,128,285,829,
871,592,472,959,508,835,395,081,442,975,226,693,256,180,924,853,448,335,125,
972,750,639,459,964,388,298,789,264,452,341,515,973,500,596,859,017,351,906,
929,356,919,186,911,692,459,448,228,638,712,122,243,423,809,557,628,466,452,
456,747,906,758,040,503,748,245,230,734,536,292,963,072,153,694,031,141,685,
905,381,855,050,393,316,164,327,874,008,568,284,146,205,988,878,761,089,221,
579,204,643,600,939,446,765,332,936,526,196,320,558,746,379,303,289,477,796,
871,816,004,401,296,859,220,615,604,579,376,551,151,052,357,012,920,762,904,
373,129,022,386,765,799,442,338,716,046,768,600,936,713,865,443,718,123,551,
548,142,466,688,047,487,838,046,671,586,325,104,964,273,091,747,205,463,292,
598,053,011,762,747,702,198,254,746,595,122,306,492,458,518,095,882,174,910,
470,923,268,537,280,171,745,493,103,481,682,760,733,871,925,374,722,956,899,
342,072,560,186,234,864,628,716,492,882,673,145,330,321,874,641,593,959,635,
276,124,380,374,508,927,966,466,394,620,777,040,587,439,315,621,605,232,582,
666,347,535,031,144,384,264,221,785,176,526,650,695,653,800,556,105,200,249,
394,285,364,517,269,598,628,311,122,303,671,877,878,411,371,100,866,923,407,
762,510,190,058,170,911,668,387,545,834,308,973,455,903,026,276,076,382,623,
681,519,191,405,040,763,880,719,815,002,313,848,533,238,810,670,663,550,331,
529,190,769,098,160,939,521,661,234,984,604,888,744,020,517,694,193,156,181,
005,699,997,761,995,858,816,862,306,188,590,306,037,815,115,828,190,636,225,
759,010,134,737,697,546,814,851,853,464,693,476,122,868,993,309,540,009,765,
083,435,483,596,933,966,334,310,357,258,159,622,972,807,647,436,898,903,798,
830,290,858,589,070,246,822,056,123,592,281,038,935,276,509,004,304,496,163,
376,700,707,233,248,814,766,989,036,332,267,396,479,241,261,402,917,651,580,
214,452,307,313,130,069,819,832,643,840,370,689,698,039,625,559,736,408,737,
793,768,906,823,417,057,717,876,073,943,750,870,565,787,827,855,841,711,478,
912,345,829,142,109,197,691,868,645,207,099,960,637,249,965,677,706,406,670,
496,409,073,298,595,464,202,001,907,833,282,367,003,521,140,412,360,901,629,
646,277,366,606,948,945,643,444,578,787,599,939,351,756,291,812,242,156,394,
941,899,355,079,985,292,621,246,338,355,505,885,099,956,190,750,030,446,778,
922,845,117,785,779,584,057,542,192,587,284,038,024,109,079,142,002,750,036,
100,570,471,945,264,192,788,214,573,902,405,422,316,794,610,483,824,012,178,
308,670,159,652,525,048,132,712,029,988,553,567,570,657,204,543,282,993,946,
681,060,191,061,947,772,942,830,534,794,139,432,493,260,370,859,538,754,467,
805,872,007,491,888,302,944,310,159,225,642,809,669,059,488,305,562,861,090,
725,186,420,517,234,843,911,132,983,292,916,845,353,016,753,958,443,138,241,
691,331,449,897,048,190,929,428,924,175,673,599,278,453,134,977,455,161,629,
981,103,002,664,630,815,130,618,443,550,992,865,960,967,704,205,055,802,878,
085,752,497,767,865,350,788,166,425,406,838,562,712,443,401,706,931,739,933,
957,843,164,889,472,158,179,564,254,454,769,259,871,076,791,948,018,977,627,
739,272,523,184,766,078,183,424,498,225,777,862,781,031,921,270,843,471,833,
331,186,399,350,939,918,225,196,806,768,050,834,207,303,330,307,830,997,310,
198,554,308,819,152,594,026,985,495,083,553,724,347,243,154,635,675,165,792,
831,914,598,536,864,078,370,316,475,299,202,819,500,904,489,671,646,385,293,
027,492,666,781,021,530,668,767,370,700,804,308,186,999,264,224,999,793,022,
774,061,091,528,339,619,881,262,558,257,940,197,341,782,023,123,687,828,865,
416,082,572,873,779,890,625,747,281,915,187,780,936,090,729,807,381,293,441,
000,584,878,745,201,823,785,529,799,433,795,031,934,071,624,219,022,007,644,
276,568,391,895,402,394,043,470,296,100,683,545,104,938,813,974,848,108,414,
794,990,839,569,039,839,285,051,542,860,299,612,094,144,830,588,000,234,005,
670,559,208,844,128,215,652,327,752,051,052,453,300,415,045,443,868,887,272,
538,693,957,307,180,629,407,554,346,230,645,617,742,828,173,296,425,344,928,
620,168,121,573,997,680,723,160,463,688,450,543,727,789,872,538,723,318,182,
101,680,287,780,647,526,594,859,077,283,497,532,057,266,342,802,167,371,836,
685,134,938,324,060,243,440,111,533,109,296,370,670,322,822,996,256,124,764,
696,616,299,836,368,057,067,565,278,984,816,977,686,320,368,543,427,798,361,
386,844,873,087,430,848,104,763,882,629,024,162,841,052,988,781,222,430,194,
238,883,812,007,916,719,297,468,006,167,723,294,709,781,684,469,202,228,260,
053,839,155,017,628,850,499,522,575,365,030,358,218,452,246,146,948,356,768,
081,009,659,796,524,687,911,505,602,194,162,163,558,286,100,071,738,071,816,
226,226,645,910,355,791,097,046,536,218,546,047,156,845,625,154,302,683,328,
448,870,862,594,546,541,900,178,297,378,691,819,914,472,873,797,868,537,375,
975,966,653,117,163,862,192,999,550,752,994,094,553,563,149,564,419,538,921,
390,701,709,284,992,917,707,098,983,194,315,990,876,463,823,506,212,135,511,
809,590,868,389,747,729,435,885,639,379,173,623,812,969,931,493,059,305,863,
503,044,486,822,682,525,423,457,070,461,805,170,705,313,631,640,123,589,480,
409,517,957,088,923,172,542,306,961,080,481,314,274,737,674,317,227,037,788,
295,450,941,743,892,199,095,161,137,221,173,438,238,693,586,115,274,871,916,
589,037,158,147,860,761,769,307,179,379,285,480,381,077,225,686,323,315,880,
784,068,582,504,079,775,210,495,418,175,692,662,343,251,302,595,293,418,420,
320,294,497,748,639,715,375,579,292,673,894,823,277,369,284,878,841,504,473,
421,754,586,827,546,242,985,805,355,904,906,053,404,705,756,998,250,485,234,
218,451,487,284,258,326,547,960,226,570,511,787,693,330,061,294,626,858,212,
271,710,276,324,538,021,476,879,791,508,999,107,953,490,724,574,959,862,439,
813,037,748,444,411,968,491,228,930,880,762,667,680,057,795,848,954,789,702,
634,149,534,147,190,413,610,783,143,914,164,629,474,611,578,809,114,999,417,
712,067,035,539,849,911,714,508,525,360,208,914,338,292,087,693,636,253,940,
908,792,790,922,688,969,246,821,549,351,337,063,542,466,428,787,862,710,156,
131,336,188,705,016,654,333,046,586,657,035,459,599,802,594,555,091,672,039,
210,066,702,693,234,323,517,348,821,237,305,665,453,619,522,914,272,668,467,
770,407,521,426,638,109,654,668,389,336,010,014,923,867,119,361,909,012,337,
272,895,459,515,334,808,595,664,697,059,234,509,939,959,689,739,798,976,571,
159,828,332,062,386,029,745,282,324,373,539,560,658,048,021,405,471,794,204,
409,236,059,202,770,839,782,897,256,815,274,033,544,328,554,465,493,135,736,
306,095,376,945,098,848,603,651,468,481,201,175,652,445,975,118,933,982,410,
504,353,721,487,424,078,063,950,188,569,117,225,169,744,614,091,483,494,145,
160,006,085,205,005,048,216,902,221,320,685,560,802,677,301,701,531,432,803,
033,274,062,426,580,685,987,460,912,518,468,230,678,019,465,233,250,022,986,
583,625,993,567,796,912,400,518,856,281,215,471,880,677,371,331,265,565,341,
414,049,442,994,937,997,109,350,712,927,106,118,957,424,646,772,187,621,792,
568,914,882,232,250,311,255,539,377,426,134,470,219,914,529,699,701,301,907,
906,670,017,459,806,013,646,980,887,286,103,460,437,009,366,098,115,680,907,
676,551,659,520,044,178,951,595,725,390,203,285,969,674,870,079,117,617,905,
407,444,007,615,975,340,022,219,281,738,736,204,186,459,091,167,582,038,545,
310,109,524,387,338,878,183,212,922,480,909,630,914,859,605,030,124,450,726,
866,428,213,250,078,865,060,977,960,535,889,093,628,687,967,668,935,281,668,
174,245,068,725,042,583,616,476,109,037,539,276,766,889,092,417,319,290,701,
581,678,114,128,316,637,713,019,432,569,074,546,271,040,943,557,327,044,328,
235,419,778,023,994,667,645,510,272,144,293,108,629,073,842,277,786,533,921,
442,984,726,576,081,507,636,897,811,592,294,140,537,322,427,956,062,436,180,
651,554,512,331,468,482,109,870,249,942,308,936,397,964,500,691,369,865,276,
946,648,079,221,479,428,685,414,307,131,460,847,098,068,217,182,570,515,165,
946,440,834,403,604,276,280,059,998,502,169,967,852,404,829,373,411,456,407,
554,817,985,095,941,849,386,649,594,346,568,535,543,940,167,040,693,602,732,
366,565,942,984,011,303,560,299,159,405,777,438,467,684,875,882,433,623,019,
693,146,431,486,523,755,641,828,036,648,360,625,156,779,974,639,848,277,992,
943,545,910,191,462,140,472,811,532,883,910,911,992,918,119,111,962,361,815,
722,860,107,608,005,308,169,740,088,120,491,188,839,533,718,017,181,926,129,
328,235,104,914,747,432,717,707,499,024,289,190,814,926,183,889,521,144,336,
489,266,656,455,937,132,981,869,465,716,374,810,233,107,545,335,830,378,330,
069,350,427,390,988,041,675,020,861,567,055,420,867,954,119,238,090,359,558,
365,742,372,872,784,389,565,253,911,585,809,949,254,334,578,537,575,778,704,
951,596,605,431,148,111,632,277,875,428,719,471,315,090,273,285,360,024,922,
737,158,080,638,776,674,536,099,029,864,977,758,248,435,223,769,607,599,600,
141,595,613,621,661,562,425,755,140,576,070,235,250,208,346,059,125,574,450,
108,244,365,760,668,426,936,418,210,928,350,351,793,750,887,107,292,241,245,
009,405,671,618,792,451,984,778,662,997,945,299,535,434,849,690,276,140,295,
594,931,030,159,278,705,919,886,847,280,285,267,972,215,002,091,226,930,992,
186,097,742,574,988,815,072,772,288,373,653,003,041,339,769,952,712,553,918,
406,809,567,230,685,190,248,810,483,727,619,108,038,386,160,684,954,023,021,
658,156,097,363,568,392,459,596,884,421,821,844,840,550,801,282,671,493,260,
991,467,938,575,452,215,798,872,451,843,288,179,580,801,139,347,025,819,509,
324,397,471,044,779,617,392,277,810,872,766,668,160,030,115,528,251,775,702,
519,056,045,670,651,413,149,228,846,595,650,327,970,337,667,017,049,207,534,
862,680,498,384,531,930,088,353,243,264,751,493,632,718,263,112,208,579,496,
013,706,050,480,530,558,084,750,738,927,601,748,574,969,521,044,215,966,371,
675,990,947,862,235,987,600,668,756,617,271,039,459,005,663,227,429,627,696,
112,028,968,478,503,521,745,123,359,831,472,238,990,123,325,319,503,639,235,
095,289,261,014,815,933,126,513,502,833,489,996,571,964,528,702,985,299,490,
481,928,117,949,732,579,427,981,076,654,145,570,727,905,899,366,395,330,740,
375,606,992,867,938,594,318,513,122,085,002,435,215,362,373,087,534,983,066,
147,069,924,290,294,687,347,771,855,302,222,263,845,922,628,044,840,781,911,
618,821,057,263,755,172,052,026,782,126,707,981,551,682,063,973,729,311,015,
253,461,771,946,971,982,179,595,048,595,647,587,720,133,976,938,872,250,569,
963,338,443,989,714,167,708,392,215,198,807,657,708,748,893,950,057,391,714,
378,189,275,828,654,850,270,618,938,466,634,071,009,517,752,535,298,086,154,
528,610,843,004,103,075,700,952,354,931,267,260,080,549,931,906,695,893,929,
301,768,126,413,699,455,391,185,310,671,535,142,060,288,424,841,383,270,179,
098,737,163,423,829,716,786,362,795,422,142,258,986,256,305,137,366,899,755,
220,943,324,560,485,622,048,654,538,417,700,651,004,194,329,785,130,384,083,
462,968,574,298,758,241,308,594,321,539,174,725,697,745,323,924,861,467,626,
819,664,560,009,192,906,351,457,960,689,344,887,236,773,727,570,590,494,934,
013,375,471,005,810,942,256,006,010,761,748,551,172,230,075,423,791,471,677,
931,713,262,030,675,391,645,373,683,472,111,411,244,410,772,939,428,188,594,
589,801,584,998,518,641,386,770,440,002,189,058,307,801,681,313,343,330,663,
199,338,365,934,451,648,487,155,217,923,892,190,796,236,615,428,685,675,576,
149,989,342,231,229,528,545,882,865,572,339,204,310,160,723,221,273,104,833,
644,129,163,885,288,609,306,280,411,036,457,223,470,279,342,138,378,388,220,
044,289,715,677,457,780,634,745,756,774,536,309,828,624,329,747,977,458,721,
347,570,490,603,985,798,341,450,857,075,567,437,282,005,058,273,525,517,724,
255,894,070,480,561,464,751,200,625,843,277,630,313,986,997,457,675,417,544,
628,531,342,970,459,816,936,263,916,763,696,480,926,147,092,792,995,271,707,
075,789,234,347,583,069,328,063,078,651,587,555,190,542,304,603,662,355,153,
703,286,484,893,575,840,951,759,289,074,817,708,605,849,437,386,109,451,074,
464,548,133,645,561,052,588,838,360,295,151,464,254,458,276,515,533,803,252,
219,293,697,474,515,400,751,487,892,539,333,598,815,535,136,827,445,084,456,
561,607,212,304,843,471,064,367,496,711,884,374,891,927,430,732,972,874,784,
397,606,754,074,740,255,948,817,610,266,911,169,486,858,982,335,478,817,267,
684,899,283,826,253,695,749,489,274,770,473,928,430,479,020,084,019,633,559,
740,271,754,522,489,186,495,906,357,023,305,191,000,718,008,138,429,055,524,
316,516,234,869,211,579,294,986,794,472,986,073,873,008,274,473,763,889,603,
604,350,558,945,477,451,603,685,867,529,126,468,895,054,476,723,494,386,810,
188,247,138,157,768,622,043,989,644,986,671,309,499,382,108,357,675,639,488,
446,261,230,044,555,260,287,359,447,237,849,028,593,494,858,666,590,214,736,
898,387,747,072,495,548,077,114,586,591,065,241,788,867,363,011,368,065,664,
962,841,502,102,905,364,066,165,889,986,735,622,856,519,172,404,902,541,689,
664,641,668,930,441,996,571,234,163,565,011,226,929,465,341,609,103,401,617,
595,261,355,919,713,957,477,503,712,615,419,527,900,809,093,730,117,763,183,
276,703,118,354,177,372,224,834,634,499,624,486,704,241,849,649,333,844,570,
751,304,767,441,483,758,705,861,900,837,821,986,196,953,926,383,005,342,223,
478,568,540,485,371,168,749,979,858,866,904,237,272,480,571,696,434,841,267,
442,183,744,243,672,867,856,991,866,552,348,151,458,868,875,461,571,270,796,
100,877,183,041,244,218,773,338,052,322,292,986,054,791,251,914,159,650,182,
500,262,950,609,737,962,304,141,961,299,638,474,770,237,087,013,359,190,898,
326,924,534,725,585,711,264,386,595,453,898,032,427,919,893,952,656,708,290,
419,794,342,866,703,396,673,832,666,642,194,044,598,599,683,811,716,840,006,
317,972,181,237,424,823,711,539,973,523,812,386,414,463,597,616,841,258,872,
507,777,833,608,984,906,852,133,651,333,618,247,703,538,245,380,522,847,022,
534,119,963,096,393,447,190,238,312,921,074,675,216,133,091,275,851,263,829,
663,052,050,224,618,424,186,705,761,462,281,460,071,663,301,387,945,993,400,
188,380,815,166,908,067,011,682,996,362,622,113,078,591,203,598,158,350,672,
870,491,791,523,168,864,494,046,992,519,875,963,559,157,647,328,887,433,539,
008,487,493,830,552,769,209,095,534,781,573,648,318,331,750,973,435,144,434,
922,805,944,516,696,908,149,962,917,576,812,643,258,682,959,281,909,623,595,
801,312,464,725,016,998,343,173,826,726,984,658,099,993,298,795,813,035,551,
183,855,526,634,902,509,526,263,060,053,699,309,745,442,077,780,976,567,166,
920,357,051,517,638,817,491,504,584,939,052,287,559,534,437,035,515,339,688,
802,635,792,810,535,141,594,716,447,544,453,659,293,441,734,717,720,393,558,
920,386,238,714,886,902,576,370,121,011,982,059,110,489,207,814,548,816,552,
235,211,888,140,627,727,670,529,294,129,978,885,740,878,048,908,100,609,938,
358,890,158,540,907,462,425,897,941,425,892,047,105,048,734,025,494,313,680,
360,576,515,829,765,508,613,656,506,826,714,955,285,196,176,019,515,070,216,
094,799,813,383,378,981,386,426,394,816,210,568,217,152,677,996,658,977,534,
807,842,232,698,910,855,224,932,738,067,884,919,119,713,846,728,429,596,814,
855,147,408,614,806,760,748,724,371,924,463,090,937,166,775,120,879,651,328,
254,478,484,101,141,365,625,057,900,719,122,237,227,246,193,540,500,976,935,
248,718,808,162,010,178,295,346,857,637,935,490,105,761,883,171,328,300,097,
035,719,159,909,815,069,868,202,129,172,077,571,248,625,618,632,967,688,464,
553,205,115,095,815,112,937,505,672,907,390,929,170,639,167,382,200,865,900,
135,305,576,450,303,711,124,929,057,456,568,639,109,198,906,390,080,916,842,
880,623,150,627,979,597,412,687,508,037,491,370,129,673,944,227,234,690,185,
940,155,589,602,549,316,682,566,280,919,671,125,654,101,149,485,084,403,884,
572,747,404,934,417,855,404,908,281,028,638,647,904,211,587,615,665,205,855,
358,904,910,629,431,501,968,086,191,215,346,111,523,096,367,072,615,386,968,
923,483,651,002,401,592,958,629,961,131,139,512,211,311,179,900,937,864,500,
806,754,517,002,713,054,830,849,917,935,224,711,504,597,232,151,855,400,982,
150,771,322,576,986,492,596,936,649,486,546,462,435,639,095,008,494,285,202,
290,361,074,401,594,826,428,821,121,347,020,933,684,294,471,282,681,624,545,
143,034,987,361,194,835,702,875,033,788,942,188,465,703,524,821,502,310,502,
029,984,726,788,481,348,612,820,717,119,778,043,030,748,200,697,284,497,813,
278,969,475,406,487,437,589,361,443,983,686,612,167,972,975,499,094,646,008,
635,721,151,536,203,098,293,326,731,103,305,239,411,605,982,966,259,745,095,
643,883,970,731,959,758,863,676,920,510,973,456,882,903,661,254,731,204,419,
720,306,208,621,028,699,571,431,401,726,110,276,380,098,394,171,419,167,553,
154,390,098,142,737,503,005,887,504,626,352,047,574,161,806,667,152,518,237,
232,077,288,274,199,506,779,726,826,081,669,351,223,135,393,197,492,433,571,
531,926,599,528,096,803,220,961,103,371,384,500,691,439,124,243,531,054,360,
871,286,086,168,865,232,510,622,756,566,872,465,583,840,862,466,436,267,664,
184,123,480,867,700,133,608,937,371,893,882,590,200,095,415,136,324,915,723,
331,006,856,591,702,629,788,757,868,009,423,053,140,228,413,168,026,258,651,
621,883,587,771,990,608,882,463,987,061,205,770,995,355,470,967,334,039,223,
482,490,256,124,213,967,875,106,609,285,130,710,922,017,556,626,690,867,738,
019,955,849,105,882,527,517,710,563,079,255,332,124,129,654,344,594,923,012,
881,247,313,350,958,896,011,875,788,133,167,029,152,086,691,759,526,085,761,
407,957,234,321,370,936,329,070,268,137,617,776,769,135,200,354,561,467,242,
147,914,852,475,493,762,031,638,226,396,657,500,342,706,988,006,516,693,322,
527,728,285,301,181,888,481,931,710,789,540,615,839,264,679,607,066,771,466,
155,460,884,416,117,058,434,823,398,681,718,737,234,736,722,984,276,478,621,
949,976,739,269,497,708,209,841,089,150,410,698,842,255,556,910,388,538,894,
352,682,678,539,685,690,151,238,290,156,603,588,940,355,997,193,580,193,176,
771,174,701,366,543,388,471,229,449,589,065,825,563,590,630,720,563,731,967,
405,411,001,228,687,993,015,224,092,904,526,929,296,318,212,641,442,792,925,
847,068,265,019,242,983,783,493,953,672,379,791,496,678,732,535,283,030,930,
131,068,685,870,033,854,666,273,457,337,319,947,988,999,423,319,325,863,584,
333,673,569,221,839,035,886,767,151,094,170,121,352,711,535,559,085,260,889,
950,876,687,005,723,102,356,432,038,042,975,660,415,573,135,712,798,152,874,
716,203,483,161,805,497,819,708,064,922,275,214,937,158,091,668,089,939,961,
898,152,406,942,468,069,798,825,317,474,346,753,089,603,312,328,476,114,261,
100,629,886,426,139,403,939,874,454,485,005,952,470,793,058,612,171,930,210,
488,082,617,938,728,425,319,977,117,793,315,146,316,871,807,063,457,416,544,
978,573,642,359,392,981,133,835,109,392,280,394,876,583,598,846,565,034,990,
105,870,896,402,931,567,440,639,672,913,386,711,990,935,113,631,726,688,889,
130,465,966,972,082,606,621,050,785,457,217,633,565,740,802,385,857,604,492,
490,352,737,730,919,432,175,469,073,497,917,602,810,374,003,042,190,427,683,
281,089,572,090,557,075,145,205,257,728,147,752,507,311,844,942,327,579,480,
106,180,901,607,691,584,528,212,402,995,573,396,918,565,828,181,866,792,422,
652,524,292,922,014,982,395,800,126,140,723,128,967,882,597,951,622,709,235,
784,708,785,851,243,961,071,138,188,274,928,898,224,755,488,624,384,898,349,
321,190,768,596,659,118,467,816,472,433,247,353,440,406,637,770,996,445,702,
502,578,777,666,545,618,801,601,547,764,483,848,689,783,428,399,040,176,416,
102,989,613,031,734,674,755,645,895,444,571,903,895,527,154,226,960,351,892,
752,588,014,583,370,419,254,190,385,198,793,555,156,963,936,136,762,576,329,
656,738,638,594,093,582,926,815,897,307,508,696,888,762,872,463,739,316,276,
348,354,095,813,668,543,608,073,209,542,001,681,845,639,966,849,275,633,594,
575,969,361,853,046,923,187,223,966,264,875,387,872,235,181,901,158,691,790,
600,472,265,500,355,738,493,537,929,910,463,211,474,912,728,867,384,208,864,
250,029,418,292,641,389,665,441,442,649,383,044,834,296,482,293,667,973,541,
190,279,129,480,319,434,137,353,928,932,504,839,614,316,623,784,034,958,324,
053,948,030,492,251,161,880,829,203,058,948,351,197,605,319,116,584,605,585,
054,050,101,406,400,094,017,203,577,217,400,771,685,553,881,660,080,420,737,
516,936,339,439,926,135,493,135,146,715,622,920,547,177,966,254,556,833,869,
506,162,743,190,702,189,082,471,731,013,783,864,310,551,202,381,054,860,538,
657,312,321,183,020,410,247,321,227,980,886,820,022,977,320,778,193,854,248,
127,801,773,678,940,895,397,175,831,612,049,502,880,096,126,242,005,782,273,
765,893,584,846,127,730,766,193,021,592,850,767,567,454,808,051,603,355,087,
118,877,535,499,996,973,678,011,107,388,964,826,761,167,289,703,816,634,959,
480,300,169,506,506,692,089,071,470,699,843,824,584,869,035,199,149,604,389,
076,243,953,744,761,559,586,508,562,659,512,334,272,337,372,861,946,399,363,
111,177,186,999,534,564,124,559,006,000,084,794,581,230,191,449,735,782,068,
884,396,818,789,347,829,640,298,533,273,420,725,696,037,933,648,293,290,124,
470,654,528,031,783,097,955,207,182,904,026,096,547,972,471,741,547,006,043,
256,533,248,682,456,921,343,331,328,054,681,407,506,329,489,247,860,169,723,
598,993,484,349,321,103,230,140,168,183,384,480,628,748,451,876,323,743,235,
804,769,747,861,700,901,977,010,060,756,997,717,674,479,677,577,854,625,675,
005,329,408,859,452,830,825,331,312,394,413,554,086,345,907,935,981,772,980,
332,438,082,015,318,910,986,305,271,624,284,995,690,837,543,408,765,357,722,
184,433,074,052,462,954,085,077,972,057,871,718,309,060,410,613,101,042,472,
894,747,878,097,289,404,176,278,521,837,208,458,792,528,149,609,363,151,736,
571,674,731,975,058,377,832,170,671,486,114,167,982,366,196,793,971,954,299,
734,079,196,368,113,233,391,559,855,311,788,559,197,891,495,865,531,002,871,
680,562,956,727,457,125,568,595,836,593,510,760,591,846,698,714,031,600,201,
899,564,876,035,599,096,736,769,272,210,570,958,908,452,199,371,533,489,030,
051,144,999,313,340,994,640,369,557,407,827,828,218,400,669,209,203,119,033,
956,548,025,526,953,169,531,916,943,479,268,285,553,164,516,269,850,624,595,
592,890,804,576,983,696,045,778,079,558,903,905,981,521,240,656,907,893,815,
789,146,697,533,133,817,290,317,635,781,869,347,530,359,978,512,550,383,582,
592,330,175,241,490,095,089,735,849,059,443,232,926,749,596,716,686,404,310,
477,808,808,433,280,617,120,021,967,481,959,901,309,033,577,978,550,893,842,
262,740,376,642,132,104,943,149,044,116,161,538,387,216,877,201,742,013,911,
478,577,252,834,206,748,415,550,218,373,625,485,468,835,362,805,062,106,182,
248,478,074,370,823,874,984,948,465,062,776,016,718,786,604,183,047,893,264,
598,179,119,257,338,386,818,008,997,627,999,160,448,107,856,909,569,561,807,
577,809,745,593,264,849,887,643,229,201,392,550,353,557,902,199,219,589,257,
737,447,592,291,196,092,819,205,083,176,688,530,064,725,972,573,703,280,514,
201,326,372,432,447,875,337,686,213,517,748,274,291,002,886,879,797,030,177,
866,159,150,537,401,549,159,413,499,037,723,812,255,583,915,038,365,513,786,
463,684,917,405,122,124,465,601,254,780,933,320,159,953,188,044,367,172,641,
638,656,751,181,835,880,136,176,487,965,758,924,777,539,070,024,968,872,140,
251,081,334,680,676,669,205,157,313,886,328,997,648,710,421,979,661,175,201,
390,515,907,279,614,607,145,249,019,495,265,662,205,359,974,736,826,145,304,
454,199,853,531,353,975,522,813,130,971,642,131,259,059,517,399,004,234,189,
304,558,396,943,709,439,704,788,946,748,541,487,815,877,436,482,325,229,098,
161,136,926,047,506,163,626,424,644,198,997,920,558,141,925,525,345,354,201,
396,478,781,951,605,515,306,879,810,067,548,810,376,727,882,012,092,987,508,
228,758,643,612,107,239,443,119,832,858,270,575,236,867,485,841,248,151,139,
376,027,157,139,485,587,934,343,318,739,783,871,321,661,706,334,270,578,373,
849,107,604,871,340,569,770,357,723,465,208,358,047,502,411,603,847,480,737,
018,277,439,440,137,287,964,046,526,126,061,846,753,384,092,226,015,463,743,
365,005,402,176,546,818,332,241,179,861,606,530,197,988,299,549,056,018,447,
045,743,389,073,561,052,797,791,469,877,734,710,225,651,516,299,076,436,669,
807,118,678,014,717,704,810,727,263,950,090,585,237,372,052,166,598,681,948,
241,390,321,526,159,699,347,110,379,721,748,275,228,671,000,401,288,291,540,
068,121,395,767,445,812,119,450,097,211,297,223,422,591,912,384,677,208,836,
287,392,164,280,274,484,693,785,023,190,148,585,700,605,179,670,290,318,932,
132,543,212,671,207,293,516,430,215,225,658,176,422,420,062,131,263,211,770,
295,499,622,824,047,364,022,080,742,760,896,427,578,105,101,782,706,290,330,
301,179,564,194,063,205,310,603,104,981,464,004,711,475,318,013,410,481,212,
299,742,924,131,286,290,004,806,718,581,390,362,582,215,733,663,542,057,177,
452,557,429,541,346,820,109,613,686,937,635,743,309,839,302,477,264,085,920,
070,646,957,770,039,515,095,948,604,343,525,550,714,118,602,232,077,447,946,
828,973,287,752,870,739,077,828,995,934,296,361,806,965,335,536,692,617,043,
641,087,122,272,630,662,734,894,017,717,502,841,237,880,682,316,283,849,481,
120,100,846,532,874,328,109,797,191,488,417,893,678,212,431,489,719,908,105,
635,865,068,004,525,190,207,403,217,054,665,435,125,634,900,999,519,683,478,
714,140,144,491,700,627,926,395,009,253,694,046,785,737,612,007,420,403,922,
914,383,670,888,923,018,751,933,627,454,141,323,212,730,574,630,078,137,699,
044,113,785,239,094,822,094,877,174,039,133,310,103,891,711,578,343,416,123,
652,442,430,953,701,554,923,841,912,051,969,456,461,513,145,932,162,781,266,
838,243,547,485,682,976,543,388,741,171,281,808,178,150,446,973,671,046,743,
255,717,113,222,209,898,127,040,688,890,430,870,580,563,890,800,751,027,849,
302,561,204,489,415,412,218,647,248,474,780,956,269,307,481,733,636,501,529,
260,857,201,388,715,029,632,944,346,195,783,824,509,165,566,354,727,432,875,
148,916,235,399,260,388,497,113,143,572,140,458,360,429,402,749,107,338,787,
482,625,847,466,289,285,457,623,022,033,514,178,691,222,087,744,945,692,375,
820,901,317,346,781,639,137,018,594,019,285,943,328,719,094,028,398,686,307,
932,352,534,939,057,356,182,372,131,821,528,880,788,316,995,457,027,088,379,
279,139,133,786,237,089,452,356,106,123,878,344,332,779,876,297,964,857,874,
669,723,677,386,825,590,727,490,674,761,821,835,948,842,456,806,715,910,524,
373,473,856,762,811,735,620,577,087,854,774,869,742,306,915,890,399,764,320,
903,348,127,670,185,275,059,824,696,711,967,032,130,079,188,076,663,405,800,
665,335,616,857,820,151,729,741,217,041,815,514,578,106,181,871,056,648,735,
411,176,823,593,594,487,984,543,896,358,030,462,782,781,953,201,386,038,816,
962,763,638,279,179,141,534,900,446,729,666,446,502,245,688,735,260,173,937,
566,851,612,358,042,127,939,111,726,295,000,557,345,142,641,491,915,492,845,
573,786,230,089,769,523,454,942,471,991,027,087,920,668,035,207,941,910,611,
358,060,318,131,193,693,363,542,265,737,295,777,885,632,975,475,923,113,336,
834,606,090,235,066,276,479,773,795,303,314,460,740,205,656,134,075,741,277,
094,905,402,777,526,045,150,978,002,019,378,204,782,607,230,468,524,515,284,
797,486,943,404,130,218,315,342,886,040,630,354,839,270,372,534,653,487,101,
874,894,668,302,565,993,459,552,502,252,169,099,984,170,814,748,242,502,957,
802,047,178,643,938,253,234,350,583,923,301,466,706,378,421,555,259,080,790,
070,694,055,410,050,259,449,789,780,716,003,757,467,557,346,360,594,222,998,
050,362,470,987,168,868,978,311,847,420,277,611,561,491,686,251,944,079,461,
174,595,129,950,230,231,589,130,366,620,968,278,509,988,161,240,073,982,582,
106,242,601,758,808,170,940,609,375,844,716,878,306,073,384,287,524,587,767,
894,703,339,284,585,690,074,817,594,110,177,883,498,514,929,646,228,999,552,
817,117,863,059,335,108,535,378,735,671,518,627,314,291,139,778,468,059,824,
571,423,173,778,740,965,107,950,532,140,059,688,963,915,593,160,297,135,608,
423,736,530,272,328,648,553,388,570,528,847,036,320,090,632,123,971,237,841,
099,982,956,697,979,262,673,272,581,581,021,557,625,692,042,225,538,028,189,
657,982,898,273,786,054,955,011,503,729,789,555,151,971,480,384,845,865,535,
521,857,287,044,422,349,996,128,968,980,998,929,815,089,077,083,510,924,541,
979,308,507,356,310,698,666,878,867,411,847,395,346,317,161,211,343,615,206,
684,348,662,449,920,534,305,608,066,426,420,958,986,624,112,608,026,270,494,
160,206,128,838,373,019,867,777,867,814,558,992,353,364,111,277,912,166,356,
249,563,266,547,363,467,315,523,396,278,335,105,758,772,933,661,898,135,249,
180,142,982,556,357,585,981,194,596,212,687,165,703,409,407,357,325,363,719,
457,971,209,907,385,830,463,396,762,348,070,858,999,442,806,016,242,730,677,
499,358,553,762,499,003,739,904,236,229,143,496,936,020,683,571,416,036,143,
728,881,003,888,113,943,291,588,939,485,401,871,362,126,537,736,490,941,064,
649,752,316,129,184,741,879,408,232,620,936,928,343,041,091,272,802,451,555,
811,970,871,893,037,532,579,697,477,122,186,989,184,068,748,505,447,260,456,
273,424,176,455,583,935,634,906,832,019,141,090,368,948,615,065,468,176,127,
707,101,625,566,019,840,189,790,760,286,082,118,574,475,285,953,923,586,309,
657,347,459,663,842,239,797,697,087,300,842,103,436,169,057,263,041,799,089,
620,139,195,734,343,870,713,386,691,451,374,046,418,230,567,827,593,879,807,
648,261,116,619,226,435,835,341,937,907,453,469,296,313,048,881,020,998,943,
652,314,351,575,887,835,104,292,450,563,662,630,768,321,713,917,837,302,544,
767,565,680,829,775,145,965,026,148,265,700,135,524,416,480,810,008,978,364,
072,662,824,117,303,099,641,203,979,664,849,420,533,134,050,988,046,336,733,
916,613,581,368,468,258,339,011,869,277,964,520,311,387,412,517,831,825,467,
686,893,849,929,200,769,798,339,404,471,789,684,326,527,319,571,444,782,581,
617,783,402,140,065,796,229,501,379,603,068,282,368,468,813,044,777,442,037,
644,403,018,317,932,427,439,321,748,316,853,304,962,302,184,999,939,485,179,
003,523,659,400,261,365,839,989,727,980,137,648,650,212,542,572,128,867,922,
640,755,783,958,606,016,941,799,429,396,794,751,694,314,603,158,625,031,971,
041,253,536,313,242,957,702,196,127,309,368,341,477,092,552,061,008,785,732,
821,898,852,278,007,904,497,237,897,460,887,458,611,805,865,754,986,329,166,
772,426,001,277,158,097,834,286,371,267,811,599,730,694,246,853,507,901,459,
192,768,940,394,459,464,813,079,084,766,939,167,120,799,099,513,540,668,519,
679,424,225,097,144,906,778,753,139,749,162,313,483,633,542,925,399,342,977,
891,313,419,484,558,333,381,890,540,770,586,200,069,002,773,321,490,778,465,
555,484,295,940,330,506,925,569,936,568,172,003,872,319,442,613,847,093,387,
120,910,070,173,252,995,966,362,969,751,819,380,370,631,092,682,889,393,345,
130,694,383,683,288,470,900,808,188,694,868,928,515,945,653,640,905,455,440,
619,163,389,596,022,675,808,585,557,907,367,682,205,319,569,055,344,122,677,
504,238,229,642,728,811,476,747,422,296,209,523,447,458,233,058,745,111,189,
168,616,430,576,298,350,131,141,808,470,128,598,347,835,436,124,510,276,606,
270,833,419,629,536,499,400,652,537,612,567,026,134,246,788,339,133,422,526,
295,138,276,121,616,834,986,252,452,146,420,421,757,710,230,562,404,061,350,
729,029,528,001,134,116,753,643,350,355,155,964,933,607,424,564,227,952,972,
053,978,456,404,339,709,573,012,541,435,405,191,212,865,734,602,183,839,958,
484,970,529,741,521,993,937,089,005,712,037,919,994,373,964,923,529,859,258,
978,142,941,832,971,909,059,842,700,232,649,894,266,068,633,289,610,616,611,
712,187,539,713,346,360,892,503,272,957,209,627,963,088,134,108,379,824,961,
278,688,209,711,745,887,064,104,836,369,354,374,962,113,189,832,683,198,746,
510,427,719,457,675,696,614,544,056,043,674,933,636,449,356,382,803,077,449,
913,193,053,233,855,631,558,828,642,130,758,667,357,757,977,378,587,839,308,
270,087,803,442,578,038,887,102,379,519,011,286,457,151,388,772,052,498,830,
173,998,875,914,075,898,364,392,913,258,287,318,658,787,805,521,611,273,636,
091,899,577,593,968,501,497,825,553,794,913,672,430,745,028,848,254,868,632,
981,606,845,030,449,417,740,711,866,384,310,402,121,117,311,626,768,205,871,
205,752,052,533,187,449,256,190,709,490,192,740,955,867,260,981,483,357,782,
164,683,332,397,956,151,227,510,453,389,768,696,893,488,671,150,008,668,652,
595,915,683,928,059,352,764,777,915,333,137,324,301,731,772,854,167,543,133,
532,147,587,932,069,014,992,004,721,563,001,136,579,161,080,339,454,926,368,
796,007,660,425,319,181,446,433,339,328,184,328,156,720,671,847,534,732,377,
117,480,520,024,912,546,103,270,071,647,235,395,649,618,222,503,184,908,726,
814,790,232,813,206,922,404,804,615,469,770,584,422,524,785,275,132,976,112,
917,031,235,717,050,849,866,119,310,478,749,326,814,822,671,655,647,038,933,
271,511,389,317,876,591,860,430,704,743,458,409,445,410,383,408,780,751,983,
658,015,381,718,971,359,701,179,804,315,016,478,189,471,591,015,911,646,074,
164,817,584,037,444,718,655,301,573,915,940,543,998,882,545,871,590,124,348,
813,736,072,835,377,131,797,405,464,149,716,120,613,348,503,067,166,833,084,
966,557,400,199,310,079,239,207,462,774,648,066,398,961,181,895,458,298,729,
093,106,472,408,733,744,839,842,124,877,672,536,813,833,441,842,152,463,979,
250,545,158,787,336,876,222,771,989,045,575,713,011,391,300,329,781,006,898,
730,588,246,321,893,365,857,708,478,666,829,080,723,813,036,415,391,771,950,
189,079,650,369,666,959,105,201,820,207,255,059,010,002,252,784,475,875,247,
883,828,719,028,999,252,652,605,423,539,920,509,773,494,475,541,893,021,646,
580,034,310,810,692,973,122,966,993,503,408,322,913,319,694,556,155,947,380,
209,587,284,317,858,047,620,092,243,809,055,694,228,068,026,892,141,968,272,
644,192,402,288,179,330,552,763,805,327,956,924,084,177,383,652,289,579,185,
057,722,260,439,347,703,097,638,410,424,820,268,089,795,371,870,253,263,813,
007,446,366,030,815,273,174,978,434,690,199,316,714,716,153,179,989,963,558,
491,021,842,969,821,727,316,027,184,947,848,622,715,196,022,313,984,490,460,
397,430,460,039,571,473,102,818,733,725,406,892,848,391,736,881,021,594,196,
817,825,775,507,384,486,742,090,298,855,548,826,287,849,687,581,274,231,526,
756,726,072,707,972,573,447,920,679,612,271,191,820,278,029,465,930,687,215,
422,101,207,978,162,827,107,279,355,419,289,598,233,195,268,305,655,316,629,
557,603,775,218,892,732,287,480,581,675,174,173,151,257,333,451,776,423,527,
075,968,481,400,682,968,459,190,564,087,919,870,977,074,848,847,514,687,635,
409,067,191,367,939,832,147,745,694,723,851,747,805,267,400,572,921,724,300,
962,146,218,468,513,980,916,254,173,262,695,636,025,812,417,028,728,315,707,
279,370,528,236,348,939,382,578,864,050,526,359,957,489,464,451,695,695,710,
358,769,988,129,581,816,189,339,443,695,818,600,921,730,406,567,539,726,412,
369,676,228,806,222,961,970,638,853,164,949,235,898,243,148,268,674,309,926,
947,087,537,794,945,959,463,256,951,597,112,396,292,356,159,648,749,046,315,
634,379,402,370,920,425,092,937,538,441,421,372,612,262,085,170,775,038,792,
017,318,776,508,069,587,249,440,847,777,409,708,730,047,770,958,994,924,250,
776,638,951,679,585,595,455,305,146,850,015,760,243,265,904,440,577,863,130,
142,847,626,699,577,690,367,165,380,907,681,113,298,895,010,841,075,146,451,
524,735,989,051,633,331,058,162,304,331,448,831,209,970,436,908,865,559,732,
185,235,534,002,592,832,048,174,382,606,384,428,245,014,437,078,335,337,282,
766,325,098,395,787,626,708,289,947,626,250,769,769,725,152,517,182,511,169,
266,699,398,598,959,615,801,766,407,378,559,816,452,339,341,502,621,957,242,
993,476,495,989,185,008,488,702,539,946,819,819,720,235,602,396,208,543,343,
967,726,113,299,040,571,301,646,263,006,565,711,750,470,753,184,057,733,395,
142,114,607,768,945,321,399,848,503,845,490,583,513,466,888,658,199,122,681,
917,120,712,498,971,662,019,625,519,142,254,820,563,251,186,598,254,204,342,
374,523,406,418,714,213,900,285,233,385,362,976,761,274,974,494,606,924,445,
674,359,778,296,570,217,688,467,134,215,091,613,788,245,923,056,067,577,793,
653,831,565,190,611,578,297,442,263,537,466,637,376,561,242,680,341,558,294,
864,447,540,565,394,543,314,142,543,326,189,748,498,316,132,385,882,933,223,
269,597,658,166,564,291,089,760,882,258,882,980,969,685,102,310,028,662,942,
473,736,717,261,780,550,050,917,699,912,289,477,062,003,441,175,364,313,535,
102,520,613,187,072,779,890,435,151,744,560,824,081,514,873,189,700,916,899,
810,023,958,211,038,872,989,908,262,832,058,499,414,366,529,903,679,887,565,
142,290,494,876,659,318,533,033,474,019,840,986,673,332,672,039,966,896,250,
464,627,261,936,267,039,661,787,870,605,161,401,354,156,915,330,664,738,492,
441,562,550,660,589,134,564,520,107,228,353,924,533,534,581,735,483,734,309,
319,801,236,344,476,168,158,112,752,183,280,384,959,993,822,399,292,360,354,
106,934,728,891,385,675,802,928,364,139,574,432,475,109,166,585,235,957,839,
365,137,535,161,612,221,393,431,502,135,249,488,084,003,726,393,113,376,474,
980,847,454,258,009,710,059,026,812,006,968,968,985,785,258,035,409,904,584,
449,778,598,554,340,205,268,870,149,130,751,811,212,539,699,968,850,072,866,
814,645,612,005,010,570,339,566,858,317,808,855,302,829,488,101,724,381,701,
515,258,818,129,375,203,864,011,853,392,124,452,871,631,640,207,555,329,541,
612,495,355,702,147,706,307,296,942,708,874,765,300,186,445,893,299,051,408,
574,866,521,670,910,377,169,767,769,585,105,680,671,946,920,019,378,659,026,
776,379,922,888,713,364,881,400,658,267,371,426,048,776,308,329,867,205,600,
553,614,516,959,881,825,282,755,544,506,409,105,422,909,418,439,676,994,981,
133,577,987,165,843,154,425,143,657,271,028,814,339,965,907,866,323,577,900,
057,460,196,441,153,688,106,327,751,123,539,862,246,928,636,496,419,811,369,
852,002,560,810,116,890,950,579,015,028,380,150,666,445,956,327,871,875,950,
474,077,066,190,789,561,950,950,949,579,847,749,450,476,481,125,421,817,736,
382,309,247,959,214,284,492,481,250,640,707,973,506,317,633,243,466,663,136,
624,386,598,571,071,845,741,505,783,122,382,541,097,178,437,026,811,618,868,
003,087,643,740,876,397,277,007,917,271,034,031,702,379,049,439,978,431,235,
325,138,847,526,211,072,839,728,271,164,543,777,431,191,333,801,452,354,863,
865,801,991,260,327,628,476,079,807,563,465,491,554,464,080,163,335,195,042,
991,655,466,001,670,094,230,047,039,281,286,232,670,639,941,524,766,279,135,
782,520,991,653,708,556,302,768,423,481,766,695,310,415,841,975,182,600,295,
958,939,941,321,717,234,192,453,849,678,691,639,334,143,635,679,217,776,667,
678,973,744,847,789,357,042,782,298,784,076,548,314,731,381,617,041,618,382,
244,813,314,855,005,012,653,167,808,531,662,910,183,357,031,209,628,565,109,
299,199,437,627,928,296,047,993,518,184,890,272,121,263,721,037,123,246,989,
198,274,358,565,999,710,036,268,960,917,066,800,163,576,420,455,064,511,687,
465,825,607,731,283,643,723,253,443,483,534,505,868,026,942,246,432,665,331,
556,222,351,570,147,173,110,457,969,498,511,402,603,236,678,295,369,167,920,
521,496,457,178,596,256,023,607,513,634,084,577,181,500,290,913,582,909,571,
654,204,023,454,900,116,789,656,131,677,727,627,973,079,135,194,646,169,115,
210,356,989,395,777,078,955,496,259,068,299,456,187,756,165,591,848,767,483,
496,728,976,534,725,032,527,347,981,690,447,832,748,897,667,396,283,381,149,
033,335,611,279,000,355,436,006,228,175,832,554,991,357,662,419,984,497,203,
937,799,620,401,655,599,356,666,188,107,704,228,192,123,175,451,770,722,776,
979,040,673,123,365,658,445,459,540,551,494,894,334,708,400,416,504,757,812,
799,535,998,796,489,038,812,538,077,943,837,107,855,189,489,446,194,531,903,
146,760,723,954,878,291,533,448,856,783,608,470,369,953,612,934,123,073,056,
042,688,958,804,001,837,290,062,852,379,647,771,397,409,955,171,249,844,426,
805,680,791,995,303,127,211,452,197,832,292,458,973,335,259,139,409,659,605,
293,062,659,408,426,060,461,444,472,112,766,732,709,704,726,467,696,118,497,
458,912,485,808,344,877,737,798,474,957,747,013,173,118,486,195,887,545,502,
656,039,119,510,217,848,778,449,478,508,853,681,314,130,162,772,402,798,581,
158,799,380,852,015,788,875,851,010,093,612,328,240,383,426,846,732,591,534,
605,229,812,102,202,797,697,092,342,954,252,655,274,969,137,986,280,553,893,
349,783,584,890,445,690,780,628,570,901,902,771,318,508,232,122,983,571,511,
694,997,047,266,855,669,804,350,750,393,489,445,690,566,614,866,904,692,191,
225,718,679,688,930,842,626,892,077,007,110,356,780,565,320,640,173,989,928,
037,620,005,721,561,967,085,349,619,935,800,498,721,129,098,049,211,168,559,
027,525,875,574,779,106,357,210,636,320,782,567,366,300,060,216,152,936,800,
318,377,647,641,701,599,167,643,312,171,425,145,704,182,283,331,460,169,613,
862,214,562,504,269,006,614,055,743,642,685,554,533,789,888,282,609,187,512,
395,888,539,821,578,929,913,225,208,222,344,049,535,128,872,141,785,555,898,
680,017,183,273,577,556,054,294,098,264,409,572,355,662,295,713,093,896,467,
866,159,780,351,748,863,147,595,939,873,378,512,960,265,499,593,289,319,938,
010,408,487,832,040,914,448,789,779,948,449,687,535,805,200,462,184,468,167,
860,555,690,119,404,739,554,518,366,573,580,124,935,619,502,565,747,187,212,
301,099,654,779,614,334,227,617,069,944,671,603,407,358,528,189,201,130,428,
148,860,569,721,757,892,344,502,381,890,920,382,158,791,766,978,966,286,659,
486,010,720,114,773,825,282,963,299,374,584,077,015,465,922,033,911,810,842,
344,028,403,601,107,210,931,468,236,838,759,379,836,657,150,665,308,377,921,
118,814,531,138,001,009,593,712,674,735,447,274,403,994,912,116,526,496,888,
162,739,006,161,881,939,035,777,837,853,776,005,041,687,892,562,137,811,300,
818,678,437,262,552,387,053,775,989,325,578,890,613,592,940,309,989,626,815,
489,937,791,414,162,405,245,885,506,302,602,819,007,808,230,238,969,167,754,
603,810,457,368,783,197,641,639,886,667,275,936,158,541,490,928,200,021,271,
895,893,857,264,192,766,126,672,834,479,997,172,218,709,112,705,278,569,608,
858,335,505,895,193,496,099,603,810,354,110,091,413,465,869,351,446,583,093,
362,652,503,205,163,082,253,895,505,728,516,263,929,173,148,168,016,989,556,
310,068,204,395,168,518,244,169,786,256,535,192,977,652,514,670,691,253,622,
905,381,968,643,760,690,095,199,824,110,446,520,036,670,290,241,623,581,230,
320,727,961,813,742,697,970,535,571,231,012,710,813,678,836,540,239,794,703,
205,339,616,348,313,075,620,026,316,195,355,160,096,853,676,920,385,832,681,
568,982,049,029,615,477,351,394,897,989,858,651,955,448,132,132,475,171,507,
612,590,192,295,457,063,923,120,882,884,532,448,410,648,236,078,228,440,548,
755,733,833,122,276,501,207,611,297,992,375,993,325,400,261,368,856,407,432,
569,190,835,421,732,832,263,276,991,750,385,274,217,270,928,686,748,489,625,
301,746,466,539,757,839,368,101,081,457,618,542,798,157,373,371,731,297,989,
596,681,370,097,457,194,428,128,035,224,664,385,041,276,549,955,622,648,558,
448,808,118,850,670,684,714,098,128,542,005,424,949,526,430,337,467,704,259,
386,033,844,540,731,979,961,233,860,581,622,525,881,530,813,915,835,732,120,
761,983,878,377,531,624,790,970,073,614,824,537,515,419,044,606,209,840,506,
175,908,343,051,993,614,069,785,984,161,031,631,917,784,805,771,398,288,676,
987,375,771,531,680,119,130,147,099,827,605,543,460,719,395,008,444,723,625,
788,210,604,052,180,921,941,466,283,164,606,342,541,623,067,615,578,733,309,
645,300,968,752,613,223,135,856,834,010,340,466,006,571,377,612,865,742,150,
399,208,567,416,281,825,273,229,877,329,204,067,903,429,305,162,901,916,622,
024,457,179,085,577,955,484,024,087,562,687,357,543,033,433,940,559,208,817,
293,105,771,224,239,087,328,710,768,631,579,099,545,645,504,347,123,438,681,
716,540,681,844,052,176,910,960,150,857,106,038,548,756,401,312,090,257,410,
436,637,412,720,546,289,131,109,650,099,290,065,384,259,960,793,053,229,534,
802,098,748,092,080,831,667,250,741,758,679,489,726,870,395,057,468,975,191,
774,022,814,235,843,498,214,157,947,572,833,642,508,662,188,181,496,212,563,
278,013,522,781,135,692,484,611,479,236,701,531,960,726,286,090,230,220,996,
465,907,855,790,225,452,452,405,619,199,566,777,317,459,930,966,677,085,777,
471,195,013,620,896,883,144,980,678,805,299,391,881,577,987,817,504,853,277,
641,808,047,444,483,586,140,092,615,359,277,754,030,499,449,476,054,448,592,
252,511,846,138,087,727,871,121,660,897,676,075,835,126,266,735,370,507,004,
268,258,668,289,258,775,955,062,702,982,810,180,901,396,660,352,159,204,472,
660,326,787,712,871,366,159,473,745,491,499,020,321,821,010,312,234,487,387,
287,662,570,005,363,840,959,421,098,556,085,215,741,835,111,520,683,067,951,
912,314,723,878,862,174,995,559,585,901,633,051,632,465,364,396,269,406,182,
299,974,341,213,748,264,496,861,113,698,778,889,643,721,058,763,661,974,229,
735,374,110,414,068,622,115,536,886,559,225,963,441,015,674,219,472,968,651,
464,575,541,410,310,260,057,621,749,285,830,104,560,863,420,199,993,866,195,
321,744,641,732,343,357,984,757,767,327,149,693,991,848,599,944,786,653,412,
230,560,679,354,590,666,146,173,101,166,405,456,835,585,266,475,749,273,395,
139,480,598,537,942,974,536,435,775,776,840,455,336,989,897,068,700,221,151,
187,778,539,346,871,489,601,242,651,626,110,643,703,759,896,064,077,451,538,
535,090,449,891,844,652,952,234,004,032,180,763,919,409,430,436,632,228,059,
618,822,937,740,801,132,908,137,791,899,990,078,382,722,788,900,212,470,943,
475,741,565,694,233,169,219,251,260,369,293,420,349,184,089,729,597,401,213,
003,826,402,536,758,914,235,332,901,418,411,332,803,428,789,475,567,964,201,
736,688,165,442,389,355,185,751,466,796,507,847,752,636,327,767,741,814,377,
428,088,801,709,655,788,184,285,051,985,682,676,887,252,469,795,015,092,239,
827,016,821,724,150,104,390,154,307,029,008,295,155,731,672,496,842,679,846,
159,177,034,936,096,974,652,723,372,133,372,151,207,995,329,598,452,194,609,
947,814,888,956,466,483,582,402,537,942,130,780,038,321,312,143,057,542,893,
929,886,077,031,057,690,485,763,531,506,900,913,887,497,164,461,330,265,029,
223,860,528,286,487,033,940,390,884,359,985,502,714,300,988,685,843,878,726,
679,202,028,598,348,733,323,929,082,001,790,073,403,283,668,961,014,630,121,
502,477,115,319,883,988,200,996,281,610,473,453,526,969,701,308,193,447,937,
936,005,780,283,100,969,051,672,300,238,439,784,129,167,689,287,815,517,574,
136,670,921,891,094,983,522,271,725,250,209,419,239,503,806,731,278,777,543,
237,646,503,846,004,440,871,455,256,502,756,161,845,543,006,396,404,651,584,
782,564,826,784,583,710,357,763,006,251,771,241,635,868,439,295,921,119,249,
266,439,783,120,179,805,563,893,881,633,344,960,326,935,560,360,006,389,695,
619,164,670,977,981,258,699,965,970,561,440,975,385,757,642,068,730,820,534,
303,194,831,176,623,656,667,908,150,371,389,167,139,659,594,312,937,008,549,
855,854,687,047,386,839,687,932,596,206,005,891,848,593,033,599,907,978,764,
458,179,051,721,800,584,553,378,281,954,346,361,589,635,068,119,932,605,598,
753,085,313,870,114,125,944,585,497,248,547,476,629,514,903,517,530,334,683,
003,598,907,132,062,554,334,043,891,461,712,926,151,365,843,033,108,604,551,
931,614,732,892,523,544,156,683,603,677,781,859,918,449,429,623,721,523,683,
094,768,354,390,229,573,833,510,986,182,986,360,943,108,620,411,020,533,530,
623,077,620,745,769,920,271,772,609,776,504,588,960,912,080,179,631,311,508,
108,931,708,512,830,483,579,290,759,795,476,604,583,714,988,873,913,947,994,
897,695,811,213,075,385,278,337,990,843,268,980,413,632,019,051,724,552,894,
502,329,736,196,246,776,311,868,222,817,579,458,391,835,900,198,007,869,743,
034,431,098,748,423,915,418,932,230,926,401,330,067,900,710,131,471,837,130,
552,070,401,141,929,576,453,961,785,231,848,187,205,924,910,319,740,456,848,
150,615,312,638,822,586,727,698,645,562,867,684,843,924,550,475,097,935,345,
745,886,808,988,660,162,097,177,024,966,529,135,504,739,814,155,949,759,824,
493,355,372,849,763,284,268,147,845,183,730,907,868,385,623,016,622,002,408,
531,016,671,231,774,689,935,085,422,776,595,701,857,347,565,403,894,209,078,
825,093,362,252,777,933,781,951,260,334,895,056,573,126,156,109,802,865,014,
705,973,756,580,837,008,823,513,900,926,935,976,151,826,836,812,634,252,895,
931,305,831,787,133,086,278,918,802,542,313,243,890,145,095,481,196,664,731,
985,915,661,613,046,992,072,118,927,421,352,465,009,518,449,021,572,337,936,
499,993,985,548,632,857,247,168,925,672,546,507,662,169,648,667,795,812,348,
814,590,075,748,671,364,739,449,354,027,858,792,558,661,190,381,578,965,085,
542,443,106,681,976,121,752,102,263,228,861,266,101,848,502,965,672,312,630,
555,234,619,276,449,688,549,206,818,598,463,574,710,244,998,816,688,241,937,
771,719,643,404,951,091,784,612,441,682,753,289,125,140,184,058,472,215,037,
579,358,269,125,750,128,326,916,974,555,519,546,640,543,244,914,951,838,272,
547,613,327,414,739,795,611,254,946,090,200,757,909,686,506,091,029,162,264,
538,242,013,052,546,865,064,091,049,976,939,438,213,742,415,015,679,688,538,
586,659,467,742,021,909,969,487,197,070,308,326,625,432,995,669,174,047,593,
560,072,710,639,624,144,048,322,093,519,408,055,518,666,051,099,849,955,615,
705,568,726,945,823,869,913,341,590,088,621,052,452,119,544,557,283,659,789,
014,069,279,405,134,744,053,649,661,071,245,549,820,506,646,402,803,385,724,
080,508,472,834,950,456,323,357,560,102,952,151,813,155,057,687,791,132,546,
032,097,709,575,377,326,530,729,840,888,662,340,332,540,729,629,503,132,330,
720,284,927,734,397,883,819,175,723,273,140,834,474,601,131,886,685,009,942,
427,821,082,180,928,888,184,246,651,562,527,103,625,391,515,072,749,730,655,
452,009,299,262,888,933,208,065,771,169,384,527,446,819,504,020,735,298,868,
985,631,349,580,092,883,651,273,437,222,124,733,156,504,852,787,964,306,169,
324,705,197,213,652,630,343,723,358,737,744,843,662,459,901,272,076,120,094,
350,743,754,642,694,004,246,504,036,322,452,032,971,676,614,864,430,141,360,
489,190,410,084,896,841,053,608,549,373,225,948,057,736,683,310,545,687,261,
229,932,591,637,184,980,254,397,280,441,418,405,704,011,356,695,959,231,682,
604,681,611,292,518,795,529,943,596,434,280,777,302,540,530,706,952,895,791,
896,830,997,247,818,910,183,909,466,417,264,519,369,854,850,281,086,457,183,
294,653,983,633,614,251,035,525,399,995,912,000,641,074,015,103,094,190,745,
586,336,732,172,904,203,312,091,087,706,236,176,629,473,914,188,545,927,044,
029,553,758,323,808,360,672,315,633,522,429,706,247,469,892,759,451,364,498,
895,374,412,563,449,557,492,450,558,664,594,821,914,122,127,170,005,289,628,
634,114,488,440,420,586,551,049,642,179,755,391,366,846,975,017,828,684,367,
101,438,647,797,795,513,631,412,556,050,018,263,978,773,816,490,636,392,565,
025,137,117,778,560,119,886,317,103,508,269,432,598,305,712,095,802,832,081,
029,216,355,015,898,273,062,919,154,626,020,451,719,629,850,265,328,244,344,
444,049,545,685,540,321,070,104,714,279,707,372,675,473,079,406,152,310,738,
723,122,337,628,899,272,130,033,080,795,322,735,328,953,596,525,338,374,703,
790,482,710,775,392,269,042,761,816,674,525,332,202,400,819,955,270,141,958,
643,851,177,676,588,395,395,100,852,826,715,361,717,283,062,839,937,242,346,
980,631,675,832,595,639,495,715,517,892,911,426,565,742,874,891,308,850,324,
101,058,449,515,980,954,328,358,672,509,534,902,377,158,288,855,297,665,206,
934,339,143,371,856,531,130,902,362,018,228,106,206,358,295,832,101,339,355,
804,721,182,913,974,716,935,847,943,135,665,113,010,162,807,591,403,600,992,
758,673,348,948,433,805,053,229,965,595,355,905,491,080,980,154,214,655,807,
011,565,459,450,712,123,191,658,428,573,414,854,054,909,879,666,651,768,229,
842,686,936,454,099,176,766,159,668,916,069,073,413,270,865,354,663,422,242,
437,684,712,255,254,968,538,772,655,072,560,578,845,336,075,435,903,891,381,
052,259,152,270,203,821,190,810,661,345,780,699,038,522,176,308,230,870,435,
826,643,199,043,908,257,327,894,795,174,726,258,351,533,858,307,396,991,219,
328,471,144,341,137,428,089,614,188,210,006,667,973,874,007,058,702,071,728,
561,199,531,917,435,608,428,683,400,094,674,467,241,391,158,213,677,546,251,
591,258,730,913,304,646,610,969,194,646,067,966,451,771,410,217,416,512,193,
032,967,335,390,964,408,016,445,626,284,117,880,189,079,646,956,125,285,001,
250,487,748,224,061,563,042,330,878,990,607,960,949,451,747,826,509,519,543,
048,252,797,102,699,864,640,620,942,968,296,913,579,689,805,947,922,409,366,
049,712,455,796,335,767,802,268,056,738,370,792,781,596,862,284,023,369,173,
521,960,520,597,730,482,730,455,937,076,253,371,146,119,296,214,723,120,805,
196,046,769,499,087,689,556,761,554,969,847,793,304,107,451,250,742,936,736,
757,459,203,348,135,233,777,382,705,959,723,150,264,225,623,109,563,058,040,
453,985,392,065,627,298,129,129,030,188,755,312,722,109,532,329,698,336,533,
824,336,605,348,160,482,056,743,583,778,412,237,646,514,178,739,683,488,498,
360,881,412,483,517,722,729,193,395,681,361,710,482,073,869,817,528,704,412,
444,376,625,112,812,133,223,805,116,685,700,255,842,334,671,016,705,668,154,
503,437,265,896,232,581,125,642,201,485,675,250,227,191,221,715,028,604,020,
802,634,361,488,871,245,689,978,836,110,482,678,339,489,771,894,902,268,092,
996,448,699,487,929,088,991,775,033,835,848,708,171,427,511,228,772,232,984,
640,346,473,246,771,447,451,690,077,504,142,645,937,173,949,798,331,104,360,
104,029,114,615,265,202,656,712,176,011,979,792,366,406,279,347,819,126,141,
239,098,983,664,637,704,017,325,252,308,763,902,120,423,316,225,160,538,889,
474,102,659,696,425,854,730,300,853,900,920,637,797,018,892,492,179,814,425,
903,037,676,464,476,931,921,625,441,793,724,787,657,698,794,459,720,719,791,
377,906,873,577,675,953,214,139,983,882,390,503,649,404,275,508,331,429,730,
719,981,989,914,605,799,207,577,355,842,713,737,648,349,449,785,894,433,601,
750,131,379,833,004,699,377,051,014,295,326,888,254,967,602,454,842,810,096,
060,036,258,874,951,583,888,573,635,228,851,495,434,042,133,963,163,475,030,
650,087,606,176,496,355,302,204,854,409,237,527,421,698,507,897,015,315,344,
712,086,652,489,389,120,424,661,460,947,026,873,482,239,681,822,569,622,130,
461,077,551,907,506,295,981,134,166,943,832,842,382,368,094,457,032,485,649,
862,580,549,831,865,497,012,863,246,980,977,138,483,547,753,165,201,596,781,
882,965,314,744,539,510,068,808,336,127,927,660,829,053,745,027,001,272,490,
406,014,470,426,090,548,827,223,059,170,668,567,491,811,419,143,900,940,475,
563,875,994,825,642,132,848,719,625,896,166,211,228,331,744,672,169,552,018,
336,905,394,560,375,519,238,182,594,649,041,181,124,937,120,554,648,765,270,
811,840,338,242,547,753,377,406,681,068,571,086,579,855,997,638,518,205,239,
583,461,938,621,080,967,588,957,953,060,232,247,450,521,744,794,296,285,008,
456,271,129,217,636,683,838,025,812,800,124,559,262,458,061,723,770,359,132,
723,217,881,499,377,207,555,852,492,275,862,373,673,687,552,539,553,504,946,
136,616,630,504,351,505,707,753,738,324,101,502,273,150,344,517,806,699,807,
504,341,950,144,363,914,061,689,403,762,048,342,778,240,805,448,034,205,233,
901,379,639,871,480,153,391,554,411,002,377,964,460,772,097,600,266,506,911,
837,382,979,152,086,314,182,259,444,023,774,619,085,480,424,203,882,573,897,
786,071,847,923,737,157,947,756,954,254,800,954,266,292,939,145,381,179,153,
064,233,994,768,395,273,725,140,290,035,200,530,442,964,949,572,965,284,441,
499,228,689,166,933,037,168,489,437,334,857,444,997,189,743,011,229,989,480,
482,043,645,948,754,444,773,965,979,359,118,030,844,541,750,961,691,097,163,
615,481,146,584,273,362,644,997,694,350,619,842,059,785,523,524,264,175,165,
180,290,157,696,952,398,560,748,184,094,310,923,115,047,777,486,592,153,203,
219,971,585,332,819,388,782,040,116,180,615,313,114,202,661,288,460,909,623,
052,579,010,575,770,594,215,672,297,444,304,029,813,917,292,371,228,205,353,
784,762,360,353,841,321,887,550,961,047,202,003,193,567,560,457,222,409,449,
127,429,568,011,578,226,508,121,679,088,535,393,650,473,183,354,466,939,072,
279,187,531,655,324,914,648,880,736,262,803,766,659,049,039,504,057,318,520,
118,905,925,555,599,607,622,066,781,523,649,477,248,403,637,619,566,990,135,
684,174,346,497,978,457,461,111,609,179,591,318,731,454,056,321,699,903,026,
718,356,189,756,366,719,523,089,314,900,445,488,802,812,175,373,168,152,649,
973,592,329,262,800,050,183,887,498,962,563,254,304,781,240,271,864,587,551,
935,965,084,195,264,261,157,605,333,460,418,707,188,454,797,861,926,092,028,
306,867,063,332,021,052,140,456,915,518,172,731,747,943,438,057,668,235,610,
618,469,158,200,215,185,813,192,348,606,612,407,521,325,534,190,061,297,877,
409,582,024,393,637,597,667,717,984,864,926,811,520,708,066,731,519,513,537,
780,547,053,060,107,880,175,044,054,233,184,037,151,615,426,085,293,863,184,
602,706,971,354,703,357,747,690,814,749,874,779,436,037,889,136,720,591,306,
797,226,541,820,466,276,760,795,696,551,876,554,962,604,545,938,387,950,630,
553,519,782,895,887,321,538,964,515,776,896,245,324,087,037,675,531,503,998,
460,520,998,270,890,827,882,181,387,095,917,702,151,038,605,700,059,362,897,
554,609,229,618,158,037,758,384,105,850,965,229,107,542,808,188,530,025,179,
878,539,129,874,625,597,580,671,309,223,758,327,862,466,342,784,588,930,011,
377,048,465,240,257,832,857,143,489,950,898,640,011,027,700,774,137,078,782,
942,976,961,056,413,944,915,383,646,578,022,931,147,359,725,510,511,298,919,
039,536,308,747,303,024,284,428,091,815,117,447,772,953,152,919,486,701,689,
086,135,983,067,751,417,739,131,161,261,924,327,740,969,484,147,601,408,652,
622,062,330,023,952,907,692,768,368,653,638,898,341,452,655,398,768,885,329,
559,991,716,715,224,060,947,793,494,611,793,752,463,691,751,268,531,534,481,
994,962,181,034,347,940,786,673,176,506,989,995,834,940,587,106,154,127,671,
383,199,860,620,000,097,495,169,162,793,871,022,990,759,360,948,276,270,523,
644,316,933,536,982,279,268,771,439,515,400,161,899,006,327,043,061,074,025,
389,143,583,097,008,415,048,328,534,153,307,332,996,484,947,302,262,550,694,
007,470,336,227,323,928,264,439,478,684,266,352,670,488,504,596,052,917,604,
843,895,792,290,563,803,350,840,445,682,728,046,984,197,534,253,015,509,620,
931,419,024,712,913,629,871,123,441,824,943,442,775,582,969,266,721,342,835,
591,929,307,669,384,125,540,784,794,505,404,165,992,117,806,329,652,876,706,
344,118,233,233,862,697,518,854,530,251,727,025,449,613,347,937,868,135,217,
449,975,972,316,876,090,387,277,571,153,819,232,480,406,100,522,621,324,300,
600,848,772,618,489,248,808,571,288,925,419,760,869,680,841,114,555,692,935,
071,588,851,658,067,068,637,475,843,745,263,223,890,669,309,429,332,937,324,
887,194,412,986,865,143,230,154,241,053,246,172,987,785,624,691,018,936,385,
985,072,199,315,062,840,262,586,098,112,044,402,790,838,952,780,024,914,319,
451,814,127,630,651,128,116,179,220,663,510,913,776,120,097,260,145,626,412,
945,226,645,740,211,927,483,027,978,238,547,184,021,609,087,764,804,162,766,
108,988,439,505,589,736,000,938,422,101,427,370,564,280,775,579,205,148,074,
127,409,306,645,912,156,195,855,123,220,238,324,335,699,979,430,625,960,658,
765,199,089,112,297,509,741,172,155,231,073,110,914,156,701,080,413,660,284,
940,794,547,329,399,143,196,471,292,890,054,436,062,143,150,049,560,781,039,
041,751,629,264,979,353,618,744,966,047,072,147,430,908,123,982,640,362,876,
484,598,803,101,711,665,460,334,526,741,544,487,040,190,147,638,862,686,265,
870,786,443,628,309,666,239,826,593,540,206,856,266,518,906,239,192,714,247,
534,757,199,927,314,460,467,240,407,129,436,537,884,292,777,181,833,261,531,
142,484,464,021,338,662,110,311,611,307,749,177,451,355,016,991,470,925,304,
746,112,376,051,402,908,369,571,602,476,984,789,717,940,648,075,262,444,725,
764,431,245,155,322,134,918,879,889,702,185,688,082,533,267,995,322,545,614,
781,929,876,980,011,853,124,610,390,319,714,240,252,871,880,242,437,041,760,
947,766,171,559,268,406,618,074,558,226,994,570,870,639,310,147,911,676,172,
597,999,400,726,796,297,537,796,494,605,540,640,523,216,770,417,971,274,886,
637,326,803,349,142,817,237,391,068,146,232,103,470,495,091,985,562,250,605,
096,225,213,403,759,437,251,753,320,731,890,074,970,771,222,562,060,867,468,
636,396,897,926,186,568,245,923,211,923,529,846,838,215,312,213,992,760,888,
836,561,555,543,580,514,994,655,299,412,479,196,334,617,866,034,969,905,810,
985,529,194,084,233,668,764,119,005,343,088,792,257,438,359,694,786,133,742,
477,717,301,845,844,688,416,312,199,009,573,919,308,129,523,368,237,755,427,
055,854,194,532,359,498,636,028,990,075,433,829,005,388,616,435,378,453,310,
349,497,113,198,256,899,563,920,208,025,748,313,096,053,934,962,206,848,178,
755,836,214,411,687,561,554,627,541,579,256,971,217,833,021,330,552,433,678,
888,360,798,366,417,383,082,320,350,672,590,560,776,235,944,653,495,134,953,
973,924,750,820,809,326,588,964,582,838,027,394,498,472,639,217,175,578,093,
432,407,201,959,022,410,952,370,094,757,549,764,744,999,213,678,569,619,449,
847,159,359,004,293,531,319,355,362,931,856,031,682,856,397,208,939,920,739,
178,300,208,581,060,339,448,149,443,606,873,930,013,429,186,501,122,467,132,
790,039,208,006,591,447,997,116,257,579,536,370,263,807,988,694,379,580,325,
672,524,106,496,260,896,512,490,919,510,716,504,247,936,483,616,536,055,447,
490,376,994,610,633,321,837,463,269,782,782,013,629,802,412,935,746,508,095,
930,839,945,077,617,746,834,421,829,153,105,867,881,357,617,943,842,395,021,
006,602,772,909,707,115,187,726,381,663,389,655,713,687,026,768,822,618,971,
746,848,311,748,432,986,006,557,291,469,379,746,350,998,668,006,374,747,645,
324,161,098,561,465,165,769,582,515,232,060,932,884,301,161,520,914,418,678,
193,713,453,124,582,129,401,277,655,928,891,638,323,411,110,269,188,921,063,
353,701,736,561,946,309,740,106,752,352,280,057,471,501,190,447,326,442,174,
895,614,992,741,389,242,234,001,576,230,536,126,034,216,929,447,884,049,428,
870,825,681,682,963,580,393,403,310,762,519,939,781,144,132,767,273,986,196,
236,825,336,359,697,641,676,833,012,152,342,031,583,988,141,219,672,271,878,
675,623,101,239,199,158,169,256,639,014,859,011,588,018,905,278,290,488,768,
349,532,779,496,684,162,998,749,719,175,400,656,549,282,176,816,310,427,992,
103,792,210,160,400,584,446,553,793,709,686,845,482,444,258,117,280,467,513,
811,260,865,455,920,540,298,021,343,585,240,934,414,317,168,397,621,928,581,
183,136,321,763,022,803,035,742,214,980,113,954,224,521,737,397,385,204,529,
736,328,157,729,165,432,081,326,061,132,416,254,905,223,172,701,934,966,075,
327,884,471,178,009,795,935,088,397,712,814,035,846,572,340,459,720,745,413,
738,235,345,720,184,703,891,358,376,317,756,892,156,809,949,113,188,042,348,
427,901,431,530,640,161,041,238,093,228,803,494,753,835,325,461,549,807,868,
716,715,588,249,326,179,794,487,910,029,499,943,998,159,320,317,227,715,881,
315,446,075,922,661,268,962,970,882,554,502,897,454,169,816,176,888,005,193,
031,774,173,439,568,538,255,675,425,661,091,740,207,388,481,637,766,455,037,
818,678,260,878,582,382,376,478,920,819,019,461,115,844,697,547,545,147,370,
862,689,308,356,566,843,519,520,616,750,868,698,320,894,149,778,431,812,802,
679,321,633,473,229,027,904,935,469,599,516,447,752,434,419,493,259,017,259,
046,497,919,634,280,616,235,734,892,277,743,002,441,078,126,024,199,001,446,
611,915,511,904,304,782,652,306,427,258,729,379,448,321,236,047,144,258,104,
479,794,977,568,406,902,768,953,695,762,573,324,666,446,505,797,425,798,064,
520,455,093,569,482,600,958,458,103,773,839,161,232,161,768,408,157,878,821,
692,046,909,926,090,806,794,637,206,898,085,276,158,367,418,934,101,221,884,
176,962,570,962,543,190,091,160,330,706,750,771,714,381,561,735,041,407,228,
888,306,654,103,943,110,459,500,684,658,827,273,488,652,325,518,138,137,926,
146,397,812,916,280,385,885,568,334,092,563,015,032,824,247,986,410,165,979,
064,725,611,080,851,280,931,451,519,481,697,954,879,800,458,360,011,359,541,
616,586,225,445,965,087,685,558,830,460,229,413,087,499,633,451,953,737,073,
757,355,329,066,960,319,376,807,411,183,469,493,505,026,185,403,351,784,811,
943,834,613,145,900,653,962,015,140,145,886,178,741,735,303,796,391,588,373,
662,861,957,852,706,058,855,458,315,668,673,524,691,730,112,667,226,670,677,
849,225,775,411,549,861,735,450,454,441,260,872,182,408,874,064,765,445,324,
707,584,839,133,612,293,423,585,068,355,011,379,252,187,973,553,613,683,260,
486,287,581,979,801,646,121,807,416,925,876,835,312,795,812,828,711,705,082,
702,994,213,935,787,371,333,646,333,019,497,603,769,330,072,896,305,838,702,
964,037,725,463,593,491,482,434,731,762,031,191,387,551,172,906,601,433,937,
181,972,868,818,074,255,241,668,505,994,558,809,218,569,655,868,956,002,816,
123,855,866,160,634,443,729,065,723,192,843,279,107,829,578,666,025,865,743,
019,679,116,659,461,154,550,741,984,533,231,731,897,928,147,306,715,785,754,
680,697,883,817,359,100,125,731,114,878,181,146,109,945,833,939,170,323,252,
569,957,900,077,252,393,280,156,121,645,203,503,278,472,974,909,933,136,549,
680,335,951,344,164,422,098,091,653,955,685,776,689,576,656,826,283,409,917,
156,965,724,003,469,291,420,149,583,668,172,038,245,017,337,138,843,741,064,
848,448,501,008,886,679,526,632,491,985,740,113,279,921,319,278,474,951,378,
164,074,571,638,447,782,683,077,458,078,090,648,446,910,503,635,087,265,454,
190,930,692,914,545,796,668,236,549,871,334,395,208,766,168,789,326,563,725,
363,682,081,769,175,799,471,730,804,344,140,611,574,180,428,961,948,138,317,
180,009,952,193,731,632,790,237,103,837,964,260,630,927,769,401,080,055,940,
912,774,703,044,855,151,672,843,236,594,146,546,192,899,895,055,672,014,335,
178,347,501,803,647,046,138,373,567,548,220,937,212,920,144,187,921,519,424,
964,401,148,099,094,394,178,244,348,853,706,063,413,397,280,329,233,502,311,
668,066,607,748,938,164,180,761,237,811,370,047,696,643,316,655,360,569,385,
895,203,664,802,944,356,140,030,654,831,080,164,663,259,658,759,772,386,481,
638,478,712,112,010,636,687,154,616,737,663,269,053,794,588,383,488,136,011,
025,897,121,206,899,266,635,205,392,848,521,359,549,714,883,804,021,110,858,
624,349,402,855,388,179,774,744,805,721,692,827,783,911,037,073,678,973,022,
147,511,123,079,538,338,034,055,555,621,014,520,544,846,598,460,689,782,226,
403,030,075,080,921,574,566,166,278,999,628,936,134,431,384,385,017,601,336,
214,374,211,788,924,127,795,952,697,726,284,424,674,718,124,325,273,075,896,
035,828,897,646,162,780,448,563,697,276,286,581,109,900,319,787,436,357,134,
384,964,232,861,740,327,903,299,945,543,388,650,777,563,294,815,656,868,468,
643,557,698,281,493,191,975,325,662,581,755,235,044,541,114,193,169,774,880,
700,394,286,473,085,686,696,887,647,745,805,961,656,837,253,486,019,635,210,
951,140,924,242,229,549,395,411,954,710,029,711,933,648,783,133,724,542,387,
186,086,244,114,372,660,820,366,028,933,536,537,398,808,233,040,808,806,371,
379,183,280,504,074,210,133,772,830,345,665,905,520,424,224,895,434,284,153,
664,245,071,480,946,514,831,548,318,035,925,809,475,162,259,587,755,010,070,
922,305,336,168,840,045,993,317,412,829,957,062,174,684,566,845,151,751,747,
668,259,593,800,374,206,733,100,545,681,793,186,471,773,530,118,906,953,577,
664,061,878,967,344,033,043,730,665,802,288,246,931,081,123,383,369,948,355,
289,706,465,027,014,256,729,797,977,828,740,019,624,327,157,314,631,206,622,
418,211,787,221,797,350,918,320,550,743,311,339,019,840,571,627,700,417,084,
039,546,593,263,897,185,567,587,361,110,798,564,849,915,572,004,233,597,175,
548,606,339,985,773,644,978,706,284,663,581,572,658,234,438,271,648,290,364,
636,942,998,314,370,865,861,295,646,598,954,096,991,195,876,871,883,763,047,
779,847,987,004,541,545,512,221,970,972,529,915,541,632,329,380,624,016,816,
013,697,596,450,970,330,270,460,155,382,803,449,799,587,603,786,616,365,687,
162,331,185,329,281,760,795,140,820,891,791,612,182,058,937,956,325,904,449,
145,071,087,944,126,779,738,770,649,590,526,063,560,744,971,043,236,098,333,
598,330,915,890,214,867,179,002,113,296,297,746,631,651,415,312,784,245,886,
785,035,705,276,689,784,249,327,055,087,470,249,002,107,834,667,299,883,148,
675,763,036,774,119,082,979,602,050,947,646,484,161,368,335,786,568,489,978,
002,605,838,887,258,376,541,122,217,615,724,051,232,803,051,430,854,127,652,
546,087,435,327,299,134,311,825,917,830,979,707,831,506,432,497,890,745,024,
196,035,394,141,001,602,643,841,220,158,401,504,300,078,049,174,743,009,495,
903,745,820,220,035,036,867,476,247,616,217,148,339,942,414,444,304,404,199,
981,458,610,237,446,870,565,016,295,618,494,974,456,374,442,627,063,525,301,
315,460,946,710,505,271,195,757,012,330,040,059,857,959,178,691,534,779,685,
908,197,024,493,847,847,441,898,418,764,907,064,177,653,483,344,183,593,979,
529,372,199,599,168,977,482,121,657,894,230,584,379,947,632,543,884,703,619,
340,255,508,766,846,864,139,375,969,937,441,297,500,855,602,474,528,159,536,
963,151,392,666,072,618,599,078,707,592,360,234,946,268,593,885,246,487,465,
460,931,141,212,068,695,972,822,774,654,726,222,796,843,239,327,775,876,881,
375,970,517,142,873,949,123,311,745,746,416,483,878,738,773,055,139,170,916,
853,505,902,457,179,771,016,312,632,187,108,009,336,306,361,780,551,273,834,
529,666,115,990,168,096,875,316,506,371,727,928,210,605,046,789,199,005,361,
637,857,348,130,668,786,352,248,604,569,265,160,130,692,583,276,409,179,927,
578,578,820,141,964,060,603,712,278,784,779,609,728,996,527,907,953,805,204,
406,518,828,864,126,831,074,406,412,937,324,827,762,538,617,593,500,035,290,
846,193,678,684,232,295,512,335,104,523,737,697,862,618,528,092,929,997,258,
134,685,751,938,759,412,332,997,903,051,366,689,168,730,599,223,339,517,296,
758,356,467,093,997,414,161,915,952,229,069,183,232,025,786,861,702,020,536,
661,172,476,493,472,933,507,653,636,464,505,844,502,952,996,380,509,650,653,
389,077,364,218,586,793,342,427,543,489,183,376,129,329,423,463,789,607,106,
194,191,802,326,994,919,293,245,797,874,493,614,108,861,307,276,129,806,224,
830,288,170,944,530,843,606,277,669,443,412,937,459,261,669,346,068,683,189,
761,490,106,765,846,762,460,739,219,064,787,642,328,026,393,208,292,012,614,
327,241,033,456,155,028,857,809,205,590,367,764,776,950,777,306,308,972,475,
018,821,311,726,419,970,959,844,396,028,651,026,427,206,102,348,795,954,462,
494,355,849,251,141,089,917,559,107,388,835,178,289,163,514,029,919,166,877,
733,499,594,710,642,841,343,351,162,766,856,055,432,971,176,174,962,851,418,
992,471,648,872,445,848,951,283,149,053,296,877,286,311,014,214,755,069,832,
685,744,966,395,898,111,578,204,813,001,357,355,012,728,919,934,840,840,210,
169,749,888,135,847,221,624,384,333,101,373,997,424,855,498,814,733,784,489,
786,342,781,334,215,247,814,568,817,608,822,868,549,464,757,930,640,132,300,
591,925,376,530,409,567,408,256,294,103,674,109,372,138,246,933,650,629,193,
132,558,625,228,030,215,953,838,373,679,203,737,254,977,231,382,354,844,694,
571,416,818,034,790,523,476,972,143,301,114,293,402,729,178,958,884,015,735,
075,194,228,205,793,330,587,122,017,856,303,753,134,858,958,571,744,599,298,
376,463,129,205,646,327,683,022,531,799,182,513,249,302,788,214,734,582,656,
767,525,316,818,892,145,633,539,156,828,110,624,616,294,724,755,536,081,070,
829,750,617,775,495,932,384,204,312,472,020,271,642,005,292,252,528,707,009,
881,871,734,971,998,393,005,397,680,249,646,937,665,954,496,900,874,672,805,
390,803,268,823,357,238,893,938,341,110,579,727,444,693,017,972,032,764,889,
148,688,720,983,996,620,777,953,330,531,672,074,535,692,003,350,540,060,703,
964,678,077,617,714,660,739,196,466,626,550,504,943,503,168,929,578,066,978,
722,311,665,762,674,737,683,262,476,788,466,389,406,502,620,721,120,790,874,
014,878,613,871,040,866,908,170,323,191,876,149,362,545,434,400,174,697,947,
186,340,075,350,584,066,180,386,265,145,393,729,707,129,128,576,765,516,879,
462,558,489,470,610,352,979,152,318,166,835,046,890,539,878,401,191,989,776,
150,046,114,992,244,195,022,633,898,282,150,296,482,952,959,918,409,024,779,
968,927,661,208,975,041,225,683,954,284,615,540,715,370,687,116,338,352,165,
299,846,323,039,159,046,818,120,995,262,692,073,736,835,480,261,681,656,466,
893,265,628,278,692,612,665,306,489,717,026,714,363,873,273,898,520,708,555,
612,197,934,213,159,190,263,620,480,915,843,204,552,451,718,505,000,347,220,
994,523,674,750,270,076,408,312,682,523,288,060,379,182,547,904,850,731,160,
443,510,550,915,940,867,914,577,568,163,465,148,103,150,741,223,777,028,040,
151,478,119,535,557,958,590,866,131,305,386,660,830,747,306,119,942,962,359,
000,841,397,493,185,724,631,596,602,638,890,615,115,011,133,986,395,933,163,
364,727,740,922,038,094,252,628,756,109,544,064,428,384,552,299,064,278,160,
463,017,321,036,801,284,441,599,183,619,857,256,869,710,603,641,929,558,293,
254,609,312,227,135,940,852,744,761,772,635,902,069,742,240,056,504,913,316,
251,132,309,488,830,345,844,481,240,063,547,752,556,165,438,740,438,678,879,
220,744,333,191,475,484,455,063,147,419,912,680,134,255,409,694,874,977,970,
440,392,878,446,458,532,648,855,400,740,751,154,618,652,853,048,037,878,698,
655,533,649,689,724,524,346,263,246,008,324,372,635,964,636,163,875,452,238,
237,087,360,400,264,895,213,945,344,905,162,194,211,448,618,060,410,476,275,
392,288,025,115,612,509,756,347,873,483,425,561,493,843,167,058,955,998,068,
467,144,513,701,368,477,585,810,857,457,900,556,915,337,006,639,761,035,611,
855,066,407,369,380,902,094,772,525,730,153,612,305,550,147,313,953,540,675,
517,408,752,530,988,533,593,099,618,042,124,537,562,402,178,954,145,944,888,
895,647,948,834,953,489,299,383,970,677,928,629,434,073,256,535,781,947,508,
741,552,670,047,328,932,564,556,595,601,465,971,275,202,815,688,840,192,184,
894,952,951,174,707,447,578,375,549,444,884,252,706,864,113,048,865,236,810,
200,113,195,029,398,972,560,713,873,344,020,909,581,068,571,956,028,362,199,
470,510,632,841,006,357,377,808,806,222,404,404,519,205,647,432,969,927,133,
819,005,579,639,182,973,698,959,535,743,550,023,054,522,602,907,881,625,572,
267,984,990,104,641,661,331,859,924,090,416,232,179,949,431,584,618,371,824,
989,752,264,977,974,888,056,216,791,054,464,488,430,656,462,232,199,915,722,
381,410,032,365,616,370,490,360,886,514,093,734,647,858,342,134,980,075,392,
409,831,269,216,447,496,493,731,448,533,417,362,415,324,275,833,428,365,650,
988,276,064,575,606,153,216,850,353,429,855,028,271,785,612,274,228,940,148,
216,704,612,241,289,606,766,396,200,635,241,296,794,930,340,768,715,614,372,
760,503,926,072,354,090,027,909,361,596,452,393,646,228,460,192,519,623,296,
788,834,398,909,416,021,161,181,870,098,307,841,920,267,105,947,922,390,176,
732,890,914,309,246,598,277,036,985,663,245,752,507,518,443,768,377,585,559,
822,841,739,421,493,940,148,849,584,236,300,046,933,519,747,458,613,298,850,
481,823,652,092,619,676,889,797,348,358,753,006,902,072,316,204,680,964,877,
541,984,965,310,658,304,435,831,917,060,320,556,511,704,174,854,911,973,040,
887,853,866,284,044,969,208,731,883,733,052,160,175,055,727,700,430,836,607,
174,182,774,694,874,701,365,670,835,556,956,945,852,751,298,714,034,764,536,
322,375,352,268,888,295,308,723,006,600,682,097,618,104,649,168,974,590,453,
306,745,909,740,098,514,870,744,738,687,228,587,175,862,470,428,254,670,421,
345,242,437,432,329,906,585,217,808,181,960,309,255,976,854,105,938,599,961,
394,592,841,579,309,734,233,276,155,723,400,092,951,246,150,427,552,070,923,
207,715,173,279,203,639,892,038,384,958,195,268,685,612,344,523,906,271,470,
592,754,556,320,264,704,135,486,799,485,637,947,171,010,531,437,530,890,273,
736,368,173,361,924,986,541,924,556,552,671,069,963,718,587,671,000,862,460,
412,705,475,873,357,904,305,324,198,823,891,489,538,314,597,279,072,967,527,
576,242,059,279,052,051,603,126,478,832,744,194,096,505,959,626,855,523,295,
115,745,438,827,691,312,627,673,996,532,468,755,633,614,811,867,039,855,397,
441,314,915,823,261,177,207,733,076,561,007,218,621,038,989,337,135,529,497,
485,765,329,816,872,710,282,848,483,773,449,287,939,083,287,615,147,040,404,
058,006,759,987,399,939,656,957,155,702,499,282,137,756,511,272,890,873,671,
041,396,032,502,081,555,731,976,184,113,056,183,155,385,593,440,930,611,472,
055,954,226,583,169,550,507,903,157,661,454,073,616,360,842,254,262,682,407,
686,709,708,933,265,111,198,975,263,213,621,090,474,673,907,303,712,890,218,
145,959,829,224,811,728,541,962,810,987,522,554,934,853,235,074,315,954,984,
764,744,931,606,055,163,370,974,303,716,489,086,323,950,053,120,319,100,854,
915,498,088,477,364,474,283,878,609,999,702,103,360,263,323,136,487,173,414,
018,588,688,277,185,437,468,436,032,758,816,908,721,488,481,272,569,031,942,
775,060,512,646,162,700,652,766,522,090,766,505,228,459,643,991,216,454,987,
408,789,109,913,079,953,008,650,021,101,055,736,752,082,623,361,884,433,788,
310,053,074,169,119,710,268,107,793,724,416,123,317,940,279,816,031,721,390,
263,527,841,641,184,057,435,522,238,204,894,878,004,226,507,307,199,398,474,
069,271,076,139,779,077,415,969,106,200,963,012,746,376,918,676,924,610,442,
735,775,144,787,535,363,415,073,678,943,819,244,014,541,136,261,162,482,985,
719,061,740,246,593,871,555,277,485,753,926,859,331,268,130,510,601,710,498,
235,076,137,376,479,041,610,951,039,747,382,255,283,946,682,174,856,547,647,
679,404,390,476,745,455,994,830,797,992,763,892,128,672,318,647,448,389,642,
994,645,419,280,160,594,749,621,766,303,098,966,529,125,085,328,780,012,288,
872,913,508,644,282,862,717,512,872,650,024,063,218,881,338,193,890,305,965,
600,579,975,592,602,489,776,967,751,263,048,533,854,769,742,219,044,756,586,
828,230,270,517,391,131,706,954,805,474,346,501,397,030,771,191,606,326,119,
495,098,969,997,740,945,484,274,378,211,639,700,690,216,452,981,837,878,656,
749,579,195,830,360,820,464,501,630,706,556,696,673,427,294,186,949,256,045,
988,287,359,103,913,653,212,794,088,063,495,239,207,261,856,200,376,402,137,
291,408,573,322,498,629,077,049,822,733,494,506,641,855,501,540,335,085,594,
822,015,822,641,199,710,968,428,730,818,378,829,623,951,256,537,183,105,930,
343,843,967,740,625,532,126,198,794,125,441,198,595,478,567,652,927,948,289,
636,223,796,164,589,667,754,372,343,509,666,508,586,032,111,768,602,236,311,
679,107,903,551,165,786,020,466,190,352,732,122,588,346,333,457,055,034,449,
922,201,129,840,049,481,677,145,703,365,068,069,055,560,905,573,294,839,188,
887,476,582,754,217,758,482,232,716,081,023,577,111,595,358,918,879,663,192,
820,459,520,521,475,723,413,347,939,909,230,994,218,495,531,512,179,796,160,
113,387,159,170,144,776,919,197,515,558,209,838,949,657,157,999,070,801,080,
122,612,727,776,509,289,375,474,361,372,294,178,880,136,369,749,404,488,838,
117,784,504,777,098,950,993,906,262,456,364,999,576,451,296,754,714,848,116,
389,869,789,590,548,163,237,451,407,233,339,241,523,909,780,650,139,968,611,
557,975,489,977,520,298,260,717,557,048,778,639,485,148,474,148,908,690,907,
425,924,066,476,860,616,357,101,742,324,786,866,351,401,158,347,452,386,256,
931,317,099,102,809,933,265,555,917,099,897,707,453,473,463,113,153,925,293,
063,734,014,313,837,223,437,586,925,369,151,089,165,790,041,646,046,741,093,
423,957,064,157,475,427,472,789,181,035,829,469,198,447,656,299,507,575,582,
091,401,869,736,170,512,239,606,983,412,912,024,490,602,862,282,997,005,456,
090,806,174,835,389,994,071,052,904,191,172,751,205,069,713,411,983,151,998,
609,624,269,702,539,074,939,123,834,803,596,170,891,336,907,641,820,612,705,
281,765,133,917,301,659,133,480,065,350,360,272,274,151,671,538,820,093,449,
014,999,817,683,895,590,668,551,982,556,418,151,221,036,255,250,905,386,477,
263,030,690,827,214,582,685,067,929,152,470,518,337,192,621,482,491,731,291,
871,876,844,165,470,677,486,546,655,797,226,435,776,388,681,207,214,476,480,
129,310,701,988,385,107,101,893,116,036,920,499,518,427,457,657,096,479,859,
287,655,130,199,758,974,073,015,121,412,238,250,248,364,226,840,417,510,219,
424,470,528,142,053,232,855,588,782,520,140,191,486,764,236,397,538,723,557,
593,028,756,330,238,381,458,799,146,145,504,923,574,314,015,168,146,757,461,
660,999,088,665,563,211,603,846,736,326,686,053,712,008,711,146,657,090,876,
558,468,038,569,437,376,409,100,847,214,370,816,609,347,642,809,119,866,246,
434,861,669,365,549,941,827,696,862,502,209,592,222,561,986,551,260,406,381,
827,553,845,119,160,385,430,515,156,933,250,478,580,457,669,080,647,500,245,
653,985,605,897,658,356,666,383,122,358,732,723,848,813,898,580,305,038,254,
361,043,001,459,928,183,844,912,651,868,551,791,174,469,214,392,701,609,085,
333,069,376,413,655,885,771,179,945,520,831,842,071,220,468,779,407,426,669,
494,550,249,378,996,229,889,481,213,622,446,222,212,200,279,704,596,272,800,
564,374,350,388,040,856,523,031,098,103,806,129,060,307,261,543,556,279,741,
617,929,422,094,639,495,805,791,728,314,408,652,569,360,289,831,622,212,857,
470,081,786,171,822,015,431,202,091,121,766,342,878,659,120,750,473,932,280,
299,893,864,512,614,116,167,156,871,078,515,301,317,099,549,095,593,908,428,
427,054,930,354,227,494,439,837,328,968,539,826,191,063,280,222,653,294,205,
872,146,905,566,148,055,073,424,847,752,089,456,628,809,712,488,538,164,711,
833,485,209,853,457,346,014,165,193,806,212,240,337,570,504,590,082,462,546,
840,084,505,987,110,189,744,825,970,667,868,742,028,153,419,094,407,527,643,
870,374,535,637,612,691,508,452,289,296,077,978,254,872,564,916,964,657,673,
204,484,009,145,451,673,219,749,624,447,718,149,441,211,897,226,580,621,194,
552,088,911,605,306,816,774,515,340,950,669,852,767,355,004,481,819,529,194,
927,397,209,121,247,563,519,723,511,090,732,939,717,795,036,226,446,809,807,
917,418,300,199,507,100,381,712,717,264,434,183,745,907,530,915,749,280,694,
834,625,757,434,390,931,758,100,688,838,009,475,245,081,797,888,446,933,171,
782,772,622,107,262,858,086,383,406,374,808,653,756,442,709,273,291,001,220,
623,821,312,553,512,794,864,473,246,515,740,544,556,164,819,939,867,833,777,
423,029,640,249,705,024,407,581,307,445,419,461,668,293,275,433,602,337,307,
521,363,948,825,956,461,373,902,164,312,716,433,206,877,583,928,335,202,589,
662,688,011,138,803,346,863,103,807,124,816,888,683,111,818,374,784,387,745,
285,333,169,256,709,316,334,994,333,450,963,067,900,970,937,182,469,463,780,
464,106,995,172,768,054,483,641,113,043,191,384,040,029,047,849,889,773,613,
921,110,289,909,242,832,626,411,325,846,328,430,643,338,873,535,795,008,773,
362,098,111,296,643,716,344,825,094,464,662,342,641,500,563,164,360,622,493,
898,858,731,686,061,707,938,304,729,507,841,471,229,617,141,292,801,790,650,
993,695,684,193,330,748,540,520,174,024,088,795,321,448,358,609,372,280,988,
120,186,096,710,994,769,296,815,705,815,845,675,011,140,686,480,790,039,548,
565,043,277,278,287,678,500,193,936,298,810,223,938,959,202,721,697,522,623,
319,830,338,596,428,957,672,806,338,847,801,448,928,573,604,243,689,483,415,
697,712,787,860,002,828,090,907,974,207,146,526,896,222,691,908,533,642,042,
041,724,255,626,033,898,305,246,301,509,905,723,040,970,288,985,402,004,016,
097,678,199,703,579,892,629,871,553,605,812,642,728,005,213,376,089,645,927,
574,930,176,792,054,932,604,171,693,684,163,715,704,789,958,449,239,034,457,
420,090,864,860,508,840,222,056,221,142,627,878,046,616,178,655,722,729,415,
278,831,810,723,137,874,322,578,923,631,946,348,077,299,798,478,184,713,065,
263,835,142,059,302,022,130,071,902,979,870,382,913,458,414,393,862,786,825,
174,553,784,298,616,935,436,825,224,876,773,235,505,552,462,368,441,827,689,
512,000,344,033,837,341,985,209,430,167,405,976,785,454,498,255,255,743,168,
468,237,852,181,893,289,268,132,421,287,606,136,193,890,594,822,415,638,464,
506,550,088,659,816,435,006,265,528,363,959,492,314,355,119,250,878,503,645,
307,250,576,503,591,400,531,662,717,175,400,922,100,984,593,536,060,321,878,
114,383,708,834,851,239,223,671,730,623,946,739,946,267,520,911,571,222,076,
299,930,506,813,022,124,794,467,607,493,996,741,007,805,342,528,596,217,325,
208,828,745,774,811,904,462,023,492,655,311,454,589,701,202,655,930,584,854,
736,484,189,306,575,252,717,053,860,663,755,053,750,720,171,169,933,701,598,
093,720,404,447,859,320,753,166,421,458,197,059,932,648,599,583,613,369,515,
597,089,223,682,345,691,550,282,921,762,269,776,091,228,255,388,856,343,953,
979,583,874,643,459,489,088,493,398,135,397,382,455,073,778,134,548,845,472,
092,945,109,820,008,965,081,776,930,825,687,401,285,593,820,691,031,982,885,
863,109,101,204,929,271,867,000,091,499,229,370,136,831,407,281,330,646,712,
734,689,785,335,780,373,491,411,652,256,455,192,916,543,566,661,203,927,275,
522,038,644,926,461,200,316,226,246,615,909,418,978,930,683,111,439,376,843,
732,275,990,602,669,329,819,437,394,445,907,736,410,953,871,170,415,542,064,
589,085,080,436,344,642,552,052,785,652,983,912,126,630,178,444,779,883,660,
580,545,445,676,387,526,429,411,670,183,941,380,728,555,465,575,944,983,407,
131,321,308,250,614,056,761,295,193,139,785,381,968,752,854,075,243,276,585,
264,442,025,873,844,871,684,895,309,998,917,446,988,670,732,063,553,204,453,
532,732,837,873,078,800,228,055,120,202,927,515,775,180,388,947,930,607,975,
173,432,895,961,295,053,257,819,074,930,421,073,154,616,066,112,706,686,281,
374,838,088,056,487,786,368,391,261,832,997,679,431,940,740,417,763,918,077,
222,793,547,916,118,509,701,971,587,100,900,351,773,828,064,915,797,083,882,
855,257,046,545,471,392,152,107,752,663,038,608,755,908,975,002,535,493,616,
636,525,093,952,387,270,299,394,540,833,641,317,261,910,005,799,986,497,028,
653,608,247,023,912,835,754,529,067,829,937,700,378,040,701,849,712,593,776,
207,944,597,042,212,915,994,270,022,035,969,268,670,336,858,767,305,000,323,
366,299,345,752,352,776,487,594,206,468,920,880,152,434,605,050,843,446,756,
722,073,958,328,514,225,223,285,116,838,175,293,820,139,616,209,219,756,423,
797,416,851,480,797,289,896,097,491,625,559,081,760,464,526,013,322,284,444,
717,217,029,604,116,202,391,537,392,406,262,277,852,895,065,251,494,921,856,
144,636,570,352,116,594,270,424,033,422,002,772,854,946,160,302,598,546,620,
842,714,928,615,826,748,065,745,098,155,635,026,136,213,799,518,291,648,450,
175,180,613,243,956,006,763,757,622,908,420,141,973,961,927,966,618,188,465,
172,970,418,372,239,308,336,237,873,838,090,552,682,572,786,782,402,725,595,
103,904,676,758,217,750,585,537,931,194,429,471,009,279,095,179,102,643,698,
071,912,487,232,909,045,490,952,261,322,510,340,702,703,184,372,670,181,180,
946,608,280,029,071,953,665,538,179,567,142,818,182,382,106,143,888,720,950,
651,461,125,822,671,015,362,075,023,791,486,385,667,161,236,500,588,392,010,
865,242,312,139,264,064,075,308,951,704,181,988,541,913,658,908,734,920,751,
833,783,176,944,950,034,631,019,821,884,789,111,408,075,475,786,018,729,696,
280,284,821,749,318,833,843,790,825,844,601,815,382,027,918,677,238,367,784,
498,292,527,374,718,859,941,886,561,932,876,864,640,498,089,708,158,841,550,
872,907,529,491,911,304,505,126,690,538,671,783,905,030,208,477,950,498,782,
223,703,539,904,591,419,577,455,916,679,709,470,414,711,174,055,131,950,481,
022,839,817,187,713,345,696,642,658,188,905,121,287,895,029,800,460,182,854,
035,587,269,968,824,514,867,503,825,971,925,728,450,453,149,215,283,929,037,
546,431,908,138,845,957,279,234,813,132,300,914,492,894,786,937,759,384,242,
311,053,345,476,445,643,554,471,038,302,731,217,544,911,843,990,857,459,446,
890,847,415,104,147,506,744,786,323,956,480,420,919,395,653,056,000,955,937,
705,690,037,135,318,649,015,246,240,207,740,296,631,792,730,650,043,601,856,
540,199,628,731,139,115,144,674,232,438,878,653,689,730,434,526,871,730,823,
620,996,560,317,950,554,637,738,520,866,023,817,779,324,459,883,542,645,982,
375,558,331,573,445,761,476,122,577,860,153,990,706,633,581,003,466,237,492,
499,976,973,363,872,039,135,265,245,167,794,535,925,327,074,441,697,815,665,
417,474,668,506,891,004,199,116,134,547,492,350,019,835,587,883,395,672,566,
328,832,504,651,897,004,251,760,500,175,933,894,547,604,935,068,143,542,175,
041,665,360,816,185,840,233,751,067,120,542,293,285,301,513,868,163,008,322,
267,687,239,777,628,279,898,900,689,366,307,142,828,177,958,277,058,115,276,
009,473,780,521,840,479,667,147,815,797,007,400,108,277,991,552,478,695,760,
259,530,290,269,135,832,359,267,537,889,277,401,782,373,112,199,900,319,136,
156,858,162,615,870,638,382,245,773,573,107,806,887,729,606,135,477,640,961,
534,087,290,517,384,593,310,435,025,562,738,200,710,546,858,368,077,643,639,
029,387,681,680,055,807,068,759,482,766,606,564,897,305,326,024,796,045,831,
870,192,461,061,415,934,956,445,247,083,032,966,005,653,424,888,409,657,135,
848,837,949,802,233,105,611,554,151,082,793,934,194,599,318,035,581,092,503,
012,970,685,494,974,592,026,266,023,402,836,528,903,186,093,744,988,161,197,
587,225,840,767,146,464,273,233,661,712,956,696,662,914,846,800,267,593,696,
976,599,293,997,595,630,212,259,308,621,742,638,747,589,423,650,152,992,697,
543,188,386,509,506,139,244,618,049,980,966,109,563,543,153,566,089,060,231,
882,893,527,597,802,102,587,418,444,772,226,590,675,904,532,663,855,507,052,
935,874,741,622,129,903,041,466,520,182,298,100,179,775,001,575,150,808,552,
531,318,255,537,467,276,531,339,282,239,701,781,909,128,197,895,169,398,503,
487,841,919,084,843,991,862,051,374,656,489,898,075,497,986,831,514,809,638,
441,606,439,104,982,236,798,353,378,375,200,740,111,981,504,909,265,095,079,
665,573,902,452,034,528,212,297,207,846,722,797,686,043,275,697,432,455,096,
403,262,118,582,957,244,190,269,231,751,327,193,421,374,684,998,089,743,837,
366,184,266,476,567,473,103,741,891,693,458,033,840,517,351,504,278,280,191,
914,975,501,922,937,553,425,440,791,577,050,699,116,168,744,350,451,211,018,
487,861,989,451,341,265,155,901,950,079,969,227,810,662,615,718,990,683,050,
812,825,762,749,766,612,582,529,978,623,907,002,396,234,708,487,978,855,385,
919,945,366,176,348,459,997,076,118,095,574,401,147,371,173,178,986,693,392,
609,008,271,195,468,517,840,318,825,255,133,474,737,731,539,836,947,607,560,
793,396,965,701,971,190,993,646,659,785,612,643,323,513,362,491,741,554,473,
694,398,899,944,277,819,718,645,675,318,570,154,684,555,279,622,342,795,307,
543,713,160,828,986,583,136,689,777,209,668,829,439,635,095,502,515,365,536,
120,784,411,277,502,046,342,211,005,153,955,280,153,734,696,954,320,856,795,
026,445,145,002,809,837,585,587,904,360,577,807,808,964,577,747,989,547,338,
092,110,215,162,771,890,884,074,544,224,029,473,577,040,488,943,885,749,463,
513,598,399,805,446,052,463,254,640,403,403,617,374,582,283,883,808,130,076,
636,958,021,575,919,542,099,713,418,605,370,605,340,768,540,772,139,786,560,
693,101,301,067,553,064,359,058,036,672,476,534,299,846,484,305,981,150,989,
083,229,019,546,109,192,339,911,561,925,407,899,264,832,187,382,931,411,498,
200,326,107,422,649,077,379,189,787,200,384,431,805,775,740,855,629,203,931,
950,575,258,125,036,919,693,679,710,436,103,122,540,592,995,547,984,757,739,
786,919,182,129,808,379,540,868,945,220,224,693,598,741,114,584,300,354,475,
650,683,132,461,102,539,698,769,309,692,065,629,500,736,948,634,833,466,201,
304,809,931,815,013,682,477,419,797,655,129,719,638,332,058,237,283,290,123,
306,449,537,694,942,695,158,439,078,872,734,498,335,837,821,865,299,839,465,
251,827,825,818,272,211,313,391,094,679,962,919,997,137,298,297,355,530,052,
198,107,500,298,698,901,961,381,757,259,546,376,584,701,946,304,207,559,586,
729,048,031,845,358,615,013,242,032,670,883,867,045,961,028,148,054,203,992,
835,717,352,237,754,775,259,197,905,369,442,440,685,636,580,229,354,377,917,
237,962,165,211,189,446,087,236,128,832,162,302,374,104,742,655,287,206,456,
485,566,074,157,075,549,429,420,988,603,334,661,710,177,772,496,242,195,864,
099,717,125,177,846,924,048,168,201,130,451,466,754,210,351,929,440,196,396,
859,870,575,251,181,388,070,918,146,087,807,858,068,992,070,761,923,718,255,
012,489,448,878,543,709,457,119,207,290,153,829,771,333,876,968,353,498,698,
291,746,177,755,633,416,554,829,976,613,722,894,506,735,135,409,970,384,344,
535,213,458,569,889,995,170,763,676,128,228,434,282,610,598,193,551,168,975,
998,020,366,829,805,825,312,345,412,907,155,899,263,123,733,849,166,542,537,
102,605,926,611,516,296,608,678,236,906,320,818,886,968,354,495,626,915,933,
271,169,834,121,054,577,328,219,461,225,709,698,808,738,395,178,134,556,791,
338,455,951,670,331,870,204,698,737,917,993,004,385,924,869,333,162,774,484,
770,689,162,561,194,877,895,984,953,128,456,373,514,441,793,686,565,859,681,
620,035,435,299,919,579,674,314,792,513,535,468,064,620,343,619,147,689,672,
463,964,075,172,932,565,224,945,021,996,130,020,927,085,414,197,346,707,194,
900,923,494,056,838,742,024,630,367,517,093,634,962,402,716,020,878,618,490,
337,275,662,354,461,675,355,024,207,097,229,281,203,855,547,751,102,370,536,
639,241,240,411,354,770,396,479,355,252,747,266,225,219,492,113,998,155,254,
539,491,030,600,118,425,079,299,307,288,961,405,310,116,161,694,604,591,347,
404,136,516,815,671,444,174,157,193,780,529,856,664,649,637,612,631,367,074,
154,268,442,378,738,392,406,857,288,906,273,010,336,358,826,578,790,189,900,
770,665,873,391,625,673,814,926,054,250,744,392,420,604,013,176,997,118,182,
591,108,889,547,233,642,177,559,397,289,714,967,738,387,977,355,921,592,066,
355,929,153,631,399,940,969,422,714,019,371,210,533,617,315,712,525,750,665,
249,450,723,099,891,886,175,679,311,231,295,956,827,423,081,108,997,882,347,
237,228,478,285,465,899,364,799,786,405,613,058,283,562,412,404,304,412,665,
165,004,224,294,088,992,254,099,390,137,116,355,207,444,624,779,357,393,002,
974,562,756,672,416,359,217,436,835,582,023,140,127,612,111,165,333,578,335,
818,808,361,331,482,140,962,196,204,784,551,926,248,664,509,131,534,814,497,
127,702,849,888,908,309,352,390,260,008,394,551,335,093,644,711,177,174,873,
811,925,932,143,766,279,709,648,031,044,452,097,287,001,239,585,788,542,373,
115,250,468,371,765,022,823,108,199,295,222,532,993,516,181,284,392,462,485,
386,496,721,496,039,450,291,235,953,781,860,218,988,143,205,780,940,603,597,
515,704,899,182,314,219,704,577,358,235,260,203,233,520,420,142,321,547,154,
946,645,758,920,709,580,307,298,937,749,692,398,558,330,608,771,024,113,028,
845,171,832,357,409,762,470,548,430,116,720,120,166,496,309,356,188,344,047,
751,785,011,367,937,740,497,814,589,174,618,302,299,878,673,224,927,739,207,
434,840,080,735,011,780,333,674,796,127,699,956,375,013,437,139,015,351,984,
011,729,546,434,447,641,315,045,725,188,215,490,029,248,501,550,735,923,077,
717,133,571,040,337,020,691,478,533,901,103,590,842,048,081,020,977,387,267,
982,190,822,203,642,528,320,450,832,956,415,473,390,839,995,394,102,722,299,
781,081,886,724,749,837,128,375,288,434,235,556,498,940,271,177,819,551,247,
536,645,762,715,594,742,467,578,070,033,969,214,262,747,084,928,694,178,144,
443,210,916,950,326,476,118,196,518,359,833,368,515,632,818,736,285,640,980,
359,435,258,266,346,759,923,787,419,348,090,921,423,439,208,698,269,716,175,
706,492,565,155,388,462,808,684,853,668,094,561,883,840,486,888,915,892,727,
172,198,432,267,167,703,251,414,013,711,261,188,084,762,331,014,533,989,648,
879,595,049,695,238,699,549,008,960,901,947,925,284,361,540,261,001,422,723,
851,955,388,203,127,726,501,943,715,665,348,897,515,730,283,804,458,524,597,
120,992,848,592,889,964,114,270,608,044,528,038,153,522,644,299,012,771,859,
914,994,141,474,036,793,690,912,764,637,780,002,168,558,552,511,745,054,530,
253,369,208,476,773,047,980,995,814,994,045,390,943,228,626,042,471,718,202,
292,995,824,513,459,520,808,669,428,858,743,663,502,234,995,223,535,997,964,
112,237,631,618,501,030,864,721,331,747,935,921,318,739,587,497,726,655,646,
342,991,686,379,196,381,665,301,727,634,689,871,943,789,516,926,520,543,436,
824,388,669,746,380,145,726,788,954,739,062,300,579,085,442,773,617,706,409,
715,461,227,899,621,124,780,490,404,177,814,203,734,902,714,577,700,551,562,
316,413,828,160,496,771,934,607,365,858,145,139,091,555,358,636,804,810,072,
248,867,458,932,826,924,553,828,184,802,467,914,005,093,503,406,098,060,645,
696,897,193,999,268,696,490,296,931,681,551,015,579,691,318,915,619,758,274,
194,669,188,683,573,463,960,307,003,778,228,587,616,748,946,052,800,736,740,
625,445,646,993,633,018,787,734,885,288,534,921,269,284,761,837,028,511,729,
767,482,873,211,138,660,142,237,886,698,268,826,394,745,574,054,482,336,745,
569,991,139,644,026,842,132,035,571,826,554,179,108,392,726,507,349,298,618,
746,437,231,267,455,255,761,113,998,836,713,349,804,191,609,318,670,933,060,
448,543,285,862,663,352,569,035,781,412,563,058,540,605,139,814,995,626,956,
175,923,878,218,339,687,099,487,722,311,221,585,029,565,574,208,570,129,534,
279,571,447,288,476,702,135,225,929,048,664,249,650,453,164,809,702,368,700,
916,146,915,453,396,735,499,905,948,682,018,131,333,381,681,929,792,080,254,
199,389,089,932,700,460,178,096,683,181,378,064,202,736,105,256,948,641,546,
354,191,983,818,105,638,973,526,628,122,541,969,316,135,239,006,935,101,399,
205,103,766,200,847,941,017,447,885,754,326,870,970,755,233,612,097,264,718,
318,993,172,649,416,613,707,824,012,321,899,867,909,383,128,235,204,573,760,
915,275,045,938,508,043,116,513,563,956,937,954,870,608,358,597,207,863,919,
811,697,911,138,864,193,870,783,306,229,063,298,422,574,196,969,395,299,083,
229,690,714,271,137,473,073,032,821,929,869,922,546,401,567,632,589,387,365,
334,348,932,831,285,445,054,541,465,162,962,670,093,203,301,714,711,336,547,
874,672,329,562,654,958,616,273,220,961,434,996,751,772,739,605,990,514,282,
202,310,504,648,512,689,767,071,298,804,064,114,546,330,206,867,127,994,203,
515,972,035,284,746,631,808,692,604,149,121,890,483,164,410,828,703,255,193,
794,921,358,045,754,023,279,962,710,328,378,456,015,200,841,587,752,808,586,
167,725,887,902,654,079,784,298,745,641,749,124,621,926,446,880,728,484,760,
000,498,315,420,288,346,893,264,337,088,671,234,789,970,207,273,521,351,289,
176,875,039,565,867,512,055,592,669,952,813,658,298,804,931,334,395,354,352,
030,052,551,404,752,836,120,975,962,157,763,369,689,520,264,802,958,738,895,
334,285,522,645,146,818,954,593,573,735,970,176,613,439,828,489,015,894,809,
535,316,480,410,448,107,699,395,521,350,508,257,438,816,158,264,214,824,723,
866,071,099,969,707,171,567,994,149,274,510,983,140,640,048,062,298,622,822,
001,064,229,836,751,513,734,099,059,133,240,521,670,758,923,408,506,929,234,
738,035,958,506,280,559,095,960,655,483,992,523,386,436,591,383,950,261,666,
606,312,602,453,022,760,305,811,288,874,494,342,402,493,043,189,071,210,809,
950,900,203,617,434,241,782,270,881,403,461,715,132,127,829,866,219,050,962,
994,749,267,163,202,567,398,584,785,905,368,043,741,668,451,787,583,915,768,
703,039,041,883,381,284,079,273,776,783,392,168,866,838,335,010,602,122,566,
135,538,501,966,716,297,368,134,274,542,053,836,072,856,753,587,690,061,965,
568,944,129,203,929,997,135,605,611,600,844,463,702,950,059,399,462,388,007,
734,025,798,791,149,729,972,354,634,971,852,692,366,426,282,080,073,273,278,
010,492,820,820,371,902,731,499,226,420,057,429,921,734,077,466,985,296,779,
800,029,413,795,612,811,576,197,725,224,103,214,036,901,539,673,994,967,659,
714,758,544,242,998,079,682,926,748,681,143,242,525,103,433,832,460,705,545,
018,102,895,355,737,672,030,599,494,116,389,175,845,409,838,427,610,466,265,
900,557,489,117,042,344,801,486,907,459,015,795,004,858,044,294,484,850,288,
884,239,946,226,193,266,130,739,612,755,757,461,181,469,145,196,402,978,109,
309,141,231,348,341,890,442,991,837,791,920,349,083,450,644,672,544,180,065,
944,741,545,173,386,973,104,800,417,812,353,385,429,488,393,711,466,636,234,
602,583,026,800,565,149,661,924,065,890,310,651,656,091,066,971,192,427,355,
414,365,761,439,341,056,698,762,774,281,704,029,666,434,459,846,216,521,185,
529,849,872,796,488,975,515,649,762,137,488,155,360,231,314,079,324,399,998,
121,443,958,388,441,882,713,337,661,134,191,990,073,317,707,715,297,969,678,
302,714,043,233,795,693,422,099,272,354,930,186,692,339,737,510,981,255,512,
998,710,970,256,649,270,200,590,102,100,754,146,321,252,216,262,507,726,027,
876,985,336,782,532,856,061,584,717,682,466,710,186,555,633,687,782,028,015,
742,976,526,991,795,436,276,346,671,933,907,889,554,236,156,743,507,439,450,
131,799,155,101,640,189,981,038,323,091,058,285,527,233,821,345,885,932,487,
592,017,609,405,597,698,605,562,527,231,802,076,941,527,550,422,507,697,314,
508,992,390,994,801,609,706,104,514,504,086,798,785,088,844,218,760,285,226,
619,208,853,371,644,962,538,523,013,244,712,384,877,788,775,640,285,923,731,
383,707,422,614,034,957,131,375,415,891,506,608,262,931,798,017,013,456,004,
645,178,004,098,208,657,087,580,199,421,435,300,324,489,546,143,010,322,917,
529,490,553,188,023,467,463,053,022,542,069,587,298,929,583,873,306,091,051,
749,176,775,137,452,209,746,730,325,186,095,640,261,212,272,161,928,856,027,
430,412,889,028,538,584,086,668,179,273,631,731,269,638,432,693,967,572,379,
934,877,652,862,080,183,080,491,431,451,312,733,932,123,039,986,824,276,196,
920,214,235,661,635,136,968,282,990,930,992,770,135,102,076,336,020,495,427,
003,865,355,439,732,157,383,752,100,443,506,797,045,231,179,753,067,523,752,
816,370,189,197,582,830,840,843,076,507,757,683,029,833,678,233,825,830,152,
460,581,608,567,605,326,422,249,110,036,120,574,369,511,671,319,482,347,298,
704,200,100,473,427,342,358,134,963,043,966,480,439,596,840,874,902,528,401,
891,081,103,303,327,138,591,458,038,372,983,594,040,360,121,333,355,638,155,
553,430,888,237,595,558,505,426,115,317,269,184,201,827,938,946,022,218,102,
209,566,870,744,677,098,123,611,102,949,208,164,282,617,798,509,657,721,925,
869,027,892,275,390,425,801,712,705,701,885,500,680,242,161,992,054,596,650,
120,798,733,669,632,178,311,520,237,110,162,218,145,386,764,674,654,481,499,
955,196,806,313,633,152,650,791,414,237,749,606,333,336,663,178,848,862,366,
110,699,240,324,148,722,232,346,880,013,490,155,095,849,836,434,815,892,773,
359,917,722,275,423,492,239,778,111,962,787,881,620,091,352,900,371,210,347,
260,366,901,656,871,469,090,617,383,308,710,927,806,706,928,856,372,630,332,
602,317,210,579,544,685,126,670,079,642,855,252,697,291,814,623,991,799,424,
456,186,296,753,288,651,564,072,843,914,675,565,761,621,392,890,994,899,488,
738,189,818,187,370,254,785,416,021,820,628,528,857,031,615,803,546,747,132,
736,250,659,671,918,417,786,687,644,015,533,332,082,453,123,833,874,342,414,
966,188,077,158,935,356,377,824,035,173,352,976,850,494,422,665,865,294,724,
503,511,302,539,152,666,889,417,019,097,033,244,819,597,507,327,616,516,349,
116,277,879,464,769,567,417,295,577,092,022,202,701,127,241,017,931,380,852,
917,701,377,159,727,389,529,208,520,706,665,485,485,680,013,843,901,440,229,
294,807,160,039,825,106,245,300,471,592,838,082,590,880,437,847,251,758,904,
326,729,421,752,156,815,108,466,388,502,043,378,783,997,020,519,917,332,072,
683,040,907,334,871,405,131,387,203,935,774,873,323,953,465,620,562,887,205,
926,786,966,796,139,927,751,659,442,423,108,536,652,482,117,741,457,803,933,
278,059,139,242,357,776,516,863,272,382,153,670,590,808,135,516,232,405,310,
587,828,937,316,030,030,297,809,348,661,679,170,089,378,653,460,692,752,487,
590,749,065,500,874,449,920,619,296,422,326,483,656,318,079,826,925,164,338,
404,398,532,108,418,383,164,526,737,163,921,056,819,899,398,698,252,609,066,
507,865,985,175,849,062,068,890,467,480,959,588,794,381,130,549,396,766,945,
375,216,304,270,796,541,655,746,094,982,070,235,429,371,998,985,927,160,151,
785,586,341,198,015,539,944,627,528,338,221,671,038,685,057,830,993,779,089,
730,688,729,018,332,898,763,528,842,340,445,733,441,045,397,635,019,262,741,
460,913,420,799,873,213,284,530,374,308,332,974,965,551,712,029,888,025,796,
746,780,869,148,186,190,067,758,116,851,957,429,944,287,035,781,321,700,293,
104,843,800,305,912,703,804,524,113,515,724,811,456,513,670,021,950,425,232,
868,857,952,844,574,638,873,800,572,213,382,808,067,704,537,146,619,723,774,
606,615,239,278,649,778,514,229,325,351,506,114,233,983,551,026,817,227,605,
613,942,555,074,338,586,541,359,589,452,508,879,116,542,987,868,273,642,745,
731,063,495,221,357,789,918,966,184,082,025,278,895,325,327,500,294,309,580,
287,514,578,599,050,203,014,767,199,053,794,458,468,198,456,655,353,923,692,
575,639,394,563,147,101,409,836,197,625,233,489,265,633,067,340,880,195,205,
082,506,727,410,478,592,627,648,766,931,144,024,094,365,890,360,970,106,142,
827,240,520,740,856,210,287,422,064,106,201,490,833,012,563,761,281,879,909,
569,559,216,241,584,305,725,779,270,029,835,137,031,635,409,248,693,677,296,
586,237,858,295,408,036,335,218,467,950,300,316,814,999,796,204,640,958,707,
601,793,978,626,456,114,873,818,247,794,119,655,013,979,396,199,436,692,631,
863,000,888,431,829,895,473,782,102,947,442,655,470,080,306,439,668,450,746,
933,816,331,455,551,609,837,732,577,722,602,472,466,522,421,008,810,647,593,
507,409,075,278,676,905,057,157,138,990,688,772,869,476,632,665,993,066,746,
536,362,739,726,107,118,133,694,090,245,508,481,380,862,922,558,145,034,487,
475,054,545,804,284,665,638,538,952,513,353,033,886,857,696,867,133,148,203,
627,229,168,730,521,417,831,075,800,042,036,205,368,649,489,804,762,023,591,
717,938,239,329,206,434,122,284,996,705,428,829,120,650,173,498,924,942,389,
337,386,569,377,480,764,815,639,757,800,051,800,107,559,685,732,107,916,287,
536,194,002,929,748,054,431,431,102,899,738,492,397,339,240,550,554,094,949,
787,622,919,274,170,739,309,026,685,628,308,625,770,005,003,262,810,124,230,
427,281,723,439,612,580,669,419,926,286,027,819,318,525,742,635,551,792,886,
812,153,039,001,297,612,137,805,695,773,276,226,003,324,956,195,457,427,121,
313,097,551,882,810,708,517,680,913,442,961,433,490,404,685,844,585,819,046,
908,950,164,262,252,810,215,587,274,792,459,097,039,146,781,002,334,181,600,
064,640,884,652,591,359,665,622,124,835,581,801,862,092,446,426,196,032,931,
246,428,001,473,089,304,573,494,588,950,113,330,457,367,740,560,636,885,783,
758,625,772,747,725,739,885,178,129,640,524,989,838,818,540,018,462,246,865,
659,625,124,772,757,113,997,180,702,861,643,010,051,822,886,547,344,865,799,
346,120,439,864,782,264,362,550,356,144,656,263,195,835,951,298,078,583,619,
381,759,339,418,695,701,777,037,444,054,415,303,742,601,803,249,861,585,043,
459,238,486,976,919,755,540,118,453,675,784,630,153,777,420,173,164,963,155,
548,266,346,294,908,974,650,565,715,668,945,957,733,293,209,489,692,393,002,
680,188,045,059,931,036,570,037,909,853,526,479,768,456,715,891,761,908,738,
151,865,390,260,445,802,181,605,409,630,763,939,149,789,890,650,096,223,833,
608,842,843,770,361,786,982,194,232,143,219,558,695,743,504,043,096,868,303,
469,120,027,292,677,007,969,216,942,347,001,801,369,645,196,898,891,943,222,
989,096,687,833,898,900,468,677,515,082,543,378,529,452,897,421,270,314,097,
044,820,363,666,456,936,942,352,523,288,211,882,737,205,169,651,600,871,019,
888,963,332,867,226,419,684,936,130,431,727,750,933,516,276,491,429,628,260,
702,499,911,217,960,504,664,754,255,903,902,217,337,666,907,545,828,625,523,
408,404,095,465,851,907,419,700,925,792,304,955,462,059,056,757,013,594,476,
409,295,880,087,726,380,826,419,690,555,487,205,781,893,650,504,481,486,911,
597,713,548,172,363,070,893,450,205,036,828,078,319,065,282,760,752,144,824,
253,420,144,069,238,043,319,682,282,577,944,555,870,292,408,568,368,025,661,
834,956,014,505,326,048,696,023,832,094,151,837,948,768,992,175,054,206,847,
037,335,263,050,427,478,799,766,603,749,587,571,294,142,114,724,839,465,535,
362,092,395,951,699,561,189,617,578,419,971,189,138,394,148,633,232,533,932,
105,565,492,238,138,410,280,407,189,262,989,260,058,025,285,150,913,808,608,
325,856,300,270,988,986,814,782,376,561,021,153,943,061,030,431,871,577,613,
860,414,997,711,211,254,555,936,319,930,512,782,489,396,950,237,792,400,597,
679,508,828,456,159,823,251,136,639,190,732,427,334,263,506,883,433,655,149,
699,232,191,352,378,176,931,354,753,205,408,001,230,620,820,207,384,323,163,
279,218,090,495,887,799,140,601,593,359,786,382,888,099,067,283,696,993,525,
604,212,381,754,739,794,136,089,661,258,180,635,967,375,049,454,592,765,120,
584,278,435,723,004,741,714,502,325,102,021,781,943,670,755,048,135,381,062,
316,470,524,412,979,068,459,349,295,006,845,663,356,640,091,103,333,306,704,
232,074,636,312,843,456,474,786,903,345,309,252,952,385,866,299,332,452,588,
253,817,523,153,837,312,281,458,489,822,441,026,210,432,604,153,244,271,775,
314,495,844,734,676,062,487,596,701,743,387,919,340,050,347,079,338,814,530,
223,659,735,342,080,480,285,941,555,404,910,318,260,381,562,138,309,977,019,
249,325,264,903,776,326,174,266,466,643,974,168,751,593,616,499,926,197,424,
376,761,568,255,263,218,391,183,580,655,151,688,556,554,726,899,452,621,957,
462,891,933,219,052,442,656,198,891,519,150,971,363,942,852,728,461,068,055,
255,518,179,426,315,819,311,967,342,470,705,722,574,186,380,514,739,265,110,
757,204,752,158,691,598,184,578,987,286,407,398,778,530,420,256,615,431,362,
119,072,306,559,174,519,953,182,921,557,789,332,984,189,121,556,345,327,700,
641,822,446,241,798,201,975,363,180,385,137,304,671,830,020,860,806,852,439,
459,652,633,641,459,278,732,688,724,017,341,754,026,069,711,958,839,836,006,
202,400,660,101,597,606,656,274,283,943,656,908,429,851,724,744,867,312,055,
599,896,806,218,921,827,182,848,301,157,223,249,739,576,385,334,788,445,626,
516,450,818,578,048,765,714,721,731,259,370,353,171,899,609,817,894,147,894,
874,804,106,151,847,071,113,540,234,134,162,663,286,823,464,610,515,073,086,
924,736,771,834,358,881,446,871,297,971,947,438,977,572,962,973,874,822,616,
376,939,648,112,167,514,661,858,682,187,419,593,934,579,191,709,016,065,322,
953,209,534,244,371,046,387,958,118,847,905,938,546,651,597,839,255,013,886,
200,273,201,307,121,351,048,597,914,741,657,012,652,817,307,080,530,141,534,
265,197,601,872,790,411,953,324,091,453,297,912,700,740,791,838,539,398,927,
380,651,446,973,087,250,721,817,153,287,391,691,098,044,007,640,196,548,114,
847,190,186,619,685,566,730,802,908,969,523,326,226,976,732,317,983,553,670,
812,881,180,059,797,859,990,620,258,115,059,613,036,504,856,119,903,621,801,
802,032,726,100,433,002,689,969,419,672,049,330,970,561,051,373,932,156,508,
309,977,653,413,149,709,049,347,609,508,761,248,269,940,884,308,288,410,818,
972,112,898,372,823,678,416,858,078,287,672,924,795,717,258,033,438,445,641,
488,390,307,779,992,052,222,805,304,591,781,147,004,884,348,240,448,999,112,
196,309,890,164,941,905,496,303,470,069,422,056,692,503,097,248,067,125,586,
742,759,344,879,050,843,764,696,414,896,075,125,922,861,697,619,157,042,048,
488,774,334,949,188,557,971,637,041,954,368,702,764,039,758,171,649,303,452,
219,613,395,952,102,050,679,204,836,906,895,337,860,899,679,063,233,947,048,
872,179,675,618,223,144,843,247,107,952,801,827,410,813,528,076,296,780,064,
559,128,801,765,755,288,690,984,604,646,892,999,837,692,634,524,470,379,046,
084,847,399,041,658,706,465,349,441,563,245,057,408,778,367,719,351,354,750,
398,529,949,329,832,551,668,755,161,899,831,673,377,384,530,065,755,828,225,
829,665,470,866,412,732,731,314,359,791,359,569,270,973,205,462,392,832,509,
175,585,063,540,494,937,176,213,829,839,715,001,745,938,112,212,713,651,620,
219,848,339,352,310,357,371,526,991,706,354,603,261,364,562,904,283,286,298,
384,697,197,130,719,546,718,781,256,615,701,342,619,391,556,274,714,807,641,
425,557,823,939,847,098,936,340,658,060,656,821,804,045,723,563,383,979,047,
523,396,056,900,165,918,014,692,867,095,136,409,000,725,906,021,682,283,768,
548,173,471,201,976,859,218,492,789,633,636,919,542,778,899,442,312,356,799,
146,537,384,526,382,482,528,042,648,488,646,702,455,296,012,068,030,688,876,
117,539,414,292,453,464,101,760,476,682,452,405,358,075,231,524,804,916,017,
203,977,146,621,100,100,632,027,581,355,947,770,993,155,375,895,569,363,988,
756,176,797,087,519,365,425,044,657,957,289,479,444,657,137,153,584,554,708,
447,645,206,016,696,067,223,511,001,707,029,832,718,129,775,514,565,937,697,
737,148,267,904,254,800,348,981,609,615,666,263,949,990,292,819,808,470,183,
290,632,046,353,189,220,734,619,850,389,599,293,043,007,680,616,813,094,013,
004,876,691,436,262,867,790,019,414,683,544,452,771,058,298,684,566,654,102,
386,300,868,797,174,310,928,448,832,475,966,759,797,841,077,380,122,389,298,
535,454,189,390,288,098,088,497,361,583,797,917,131,849,779,138,858,042,305,
641,293,700,407,549,436,229,218,550,635,304,430,825,385,550,713,279,668,752,
211,844,690,417,206,112,700,576,082,193,193,265,408,528,742,494,081,721,560,
612,710,321,846,022,599,370,702,475,575,426,132,474,043,223,061,254,805,872,
359,528,457,634,214,019,168,086,135,448,359,272,258,997,001,061,866,963,927,
616,304,386,934,981,496,560,353,265,334,081,440,193,671,177,947,870,329,678,
629,478,152,520,627,884,513,816,074,488,664,126,005,640,984,079,619,773,548,
297,627,368,093,074,226,694,883,189,981,129,274,813,843,123,757,437,843,048,
493,956,519,818,423,888,903,069,943,618,161,229,097,613,417,104,761,478,641,
928,378,758,658,777,759,483,846,903,980,468,901,406,716,665,789,441,111,122,
787,701,765,237,570,766,785,881,806,219,581,438,944,147,089,010,252,889,868,
164,666,750,024,080,633,187,569,358,906,420,968,316,412,893,187,486,654,048,
343,077,642,947,181,714,468,667,327,479,901,829,588,585,718,966,083,605,862,
279,841,875,447,545,659,468,022,891,726,096,111,516,371,954,380,756,902,582,
770,159,309,467,924,263,754,053,636,760,224,141,064,252,645,471,834,963,269,
292,707,477,163,654,037,112,806,210,836,700,536,135,553,284,550,274,183,033,
093,623,559,098,132,144,157,747,904,178,073,291,334,296,433,957,882,649,706,
567,436,209,228,197,509,461,235,232,894,910,885,427,833,777,937,692,324,642,
425,046,918,596,267,036,892,746,278,953,757,807,424,710,956,091,868,355,447,
748,505,036,851,848,394,656,536,879,485,934,533,603,336,906,316,596,510,107,
510,301,151,197,409,323,064,838,932,216,351,331,375,604,966,592,584,884,558,
604,287,854,535,154,262,424,823,790,723,273,012,229,132,835,570,596,716,454,
031,086,442,801,804,719,618,589,292,426,330,593,288,048,798,198,378,213,062,
424,452,492,183,945,250,738,388,503,316,220,398,901,717,172,251,978,988,296,
529,849,434,545,136,124,071,492,857,149,703,713,681,141,849,310,562,463,874,
083,484,193,088,038,541,158,344,478,066,059,313,878,822,746,250,143,440,651,
227,459,013,604,867,700,432,633,184,234,285,817,500,396,343,023,302,194,914,
068,399,866,691,091,413,351,025,595,050,775,236,892,715,905,284,497,992,207,
795,466,257,999,841,231,510,011,437,600,669,528,041,515,794,582,826,509,493,
312,153,583,312,182,460,724,922,841,147,700,895,569,346,806,731,883,085,989,
334,317,936,199,439,522,993,828,740,759,303,145,251,357,173,275,796,084,628,
923,963,718,717,733,551,960,689,058,429,387,714,683,391,883,993,779,741,217,
455,679,025,787,005,949,639,909,735,192,777,332,553,735,725,946,152,485,938,
353,906,657,114,760,056,662,060,469,038,924,376,868,054,091,248,916,917,756,
386,711,074,669,332,347,966,153,845,881,765,276,834,999,062,971,086,389,326,
343,176,884,469,246,699,124,777,288,079,174,281,203,988,065,577,412,578,120,
242,075,844,587,298,861,788,362,828,098,365,106,154,677,866,466,718,360,685,
570,535,381,742,911,623,432,968,918,630,182,447,052,525,276,299,308,045,245,
934,949,389,452,916,386,609,951,158,365,288,268,308,289,848,524,025,724,131,
356,404,436,254,782,296,961,874,321,868,620,400,731,009,082,851,659,327,273,
324,243,411,240,566,759,384,552,841,220,422,822,421,236,529,193,088,118,929,
624,722,723,862,905,959,486,722,242,685,600,294,093,480,268,022,549,445,234,
869,969,315,812,755,768,785,025,212,323,701,732,989,957,959,509,371,017,848,
701,291,199,379,900,682,708,599,833,795,619,299,709,075,273,147,514,678,517,
592,195,453,450,406,108,928,653,551,590,751,773,208,803,920,194,684,851,826,
676,616,488,111,375,195,743,728,681,568,361,557,001,316,386,194,028,474,210,
583,031,654,817,619,858,291,977,891,578,769,250,848,655,647,565,679,747,427,
358,514,140,508,510,920,805,615,721,749,111,220,878,449,531,453,601,089,701,
566,049,395,993,493,179,579,275,019,613,912,508,421,914,731,472,676,648,099,
029,712,202,066,782,454,548,304,269,309,821,933,920,892,371,539,661,533,608,
612,234,600,092,287,682,639,054,383,179,003,297,023,852,641,427,960,531,890,
280,717,408,199,388,999,519,867,419,350,974,870,479,355,333,169,110,234,062,
200,565,943,990,859,338,750,773,206,934,519,985,951,443,085,987,538,018,306,
941,601,726,639,035,431,324,528,076,342,621,646,062,820,504,858,187,729,493,
582,739,874,099,251,846,469,762,986,409,180,688,256,138,819,611,283,361,672,
686,886,430,123,281,702,675,379,098,521,466,765,083,614,861,078,332,675,107,
440,411,852,112,705,832,169,342,261,459,200,643,213,523,399,101,447,214,081,
323,144,095,639,944,552,328,979,980,341,299,740,130,291,140,349,447,851,901,
635,851,930,073,246,256,673,968,022,588,934,862,457,277,824,306,811,571,469,
414,673,593,711,302,600,166,107,292,069,132,740,662,551,078,428,219,387,608,
999,680,014,701,424,200,689,119,204,420,568,862,217,952,614,270,995,086,582,
112,579,583,723,517,899,985,330,579,028,942,903,153,908,206,188,668,189,065,
332,077,529,180,716,998,557,192,094,273,563,975,016,900,905,270,330,651,862,
598,322,738,999,234,677,039,996,965,439,134,800,787,967,168,750,421,035,835,
815,041,046,279,415,328,699,469,145,645,945,806,010,595,543,130,770,959,250,
202,955,189,841,446,752,290,070,103,493,525,614,604,887,574,107,154,588,672,
202,846,350,241,940,421,392,261,380,315,742,107,619,270,565,396,788,703,895,
804,987,832,065,508,595,230,864,211,331,859,191,454,039,687,578,037,989,024,
094,677,648,894,194,983,652,112,502,638,502,527,421,648,940,696,905,465,429,
763,126,682,534,953,617,184,106,024,625,097,034,516,890,091,469,221,131,482,
513,046,665,919,297,167,812,115,653,269,628,513,730,850,490,705,325,722,025,
059,986,579,137,842,453,132,156,373,277,500,306,391,036,464,316,590,284,105,
982,603,035,143,134,426,097,735,301,065,409,977,970,532,833,766,963,490,946,
951,992,417,258,400,681,967,990,443,943,501,808,094,349,194,851,367,098,377,
652,497,564,869,931,930,476,561,840,065,383,445,890,640,185,461,974,585,325,
858,765,022,930,430,328,415,885,890,302,486,883,427,318,686,931,683,358,452,
329,385,093,228,991,274,620,825,270,250,193,086,687,558,872,776,918,419,186,
267,688,491,441,835,828,498,373,423,121,712,935,284,282,230,830,299,916,455,
237,168,495,046,008,911,562,680,932,584,740,432,625,556,033,949,373,861,249,
925,066,278,109,348,230,709,585,956,710,967,768,052,664,249,340,658,029,825,
575,568,090,085,060,515,366,529,323,021,796,328,045,434,119,360,146,533,212,
872,922,698,148,082,330,488,584,295,643,742,278,144,913,773,087,052,055,114,
864,297,197,531,401,137,827,275,817,113,111,808,441,214,116,754,564,543,519,
881,845,069,842,534,856,071,734,427,060,170,384,116,741,356,371,659,452,465,
315,943,778,859,007,292,450,536,144,751,784,881,460,597,368,037,190,866,459,
699,248,698,817,074,639,890,430,693,685,167,249,933,399,286,024,133,217,944,
217,339,506,737,686,752,914,770,029,646,963,830,520,183,878,124,415,981,507,
474,968,377,732,438,620,521,899,172,437,580,605,519,287,540,187,278,890,619,
302,603,879,674,225,353,848,537,770,906,584,097,718,242,883,543,734,265,450,
443,571,366,041,450,528,644,644,629,732,687,708,487,527,790,594,728,072,194,
907,747,094,275,961,264,659,776,399,450,898,130,249,416,125,791,757,455,597,
161,908,301,265,344,091,570,382,228,365,833,717,877,657,084,309,028,541,356,
366,844,723,486,166,153,082,882,485,265,474,706,798,422,057,730,403,244,294,
231,446,029,100,577,206,015,895,271,234,132,131,290,240,672,722,592,613,972,
602,092,111,284,066,781,921,735,392,237,652,854,151,460,329,933,463,035,134,
957,520,645,594,290,168,924,606,158,089,925,959,067,425,818,993,438,772,120,
874,415,783,313,554,245,921,990,789,295,682,276,421,954,858,114,094,167,636,
777,488,308,436,827,735,213,444,215,156,392,279,594,402,411,831,721,508,428,
455,665,549,694,544,911,062,094,772,041,238,427,206,827,122,285,667,566,912,
711,351,857,025,387,347,805,519,259,506,813,759,202,751,445,041,551,192,952,
472,349,426,928,499,856,399,575,489,988,421,830,799,735,709,062,168,596,865,
421,371,054,403,300,755,613,852,288,010,080,330,239,788,023,359,769,929,925,
645,473,969,344,998,771,122,398,614,781,710,805,070,658,413,499,178,068,811,
301,011,378,338,246,692,216,332,018,923,652,718,033,043,641,369,689,740,052,
032,872,642,353,790,072,115,858,589,549,994,767,579,548,738,034,177,205,208,
202,971,666,329,697,103,569,189,960,594,932,834,588,167,022,910,305,881,745,
785,260,881,875,709,413,713,388,282,172,054,048,387,855,291,307,360,135,891,
139,773,778,263,729,385,330,258,113,936,600,031,711,728,584,450,988,841,489,
865,140,725,540,377,176,213,304,718,193,269,557,793,820,256,001,588,638,369,
849,509,287,864,244,575,424,279,744,812,585,559,130,807,678,196,522,220,455,
129,913,762,247,067,129,416,570,352,534,885,651,424,411,294,310,958,098,288,
105,513,650,564,279,430,612,750,499,954,785,349,734,364,612,719,085,178,178,
247,324,673,012,892,689,602,372,649,322,817,040,264,947,074,011,808,559,583,
699,574,688,226,246,235,029,389,148,664,894,580,992,480,099,056,165,924,517,
672,209,385,506,014,634,534,073,437,609,067,367,983,240,158,574,868,571,348,
909,694,490,599,103,779,149,175,847,440,482,475,477,619,691,055,274,118,390,
411,126,200,389,663,642,100,806,577,423,353,123,737,432,561,269,291,757,409,
423,520,482,244,940,692,091,664,839,513,797,585,855,492,889,045,388,889,873,
279,535,032,680,305,756,934,671,327,775,352,967,329,083,637,647,843,786,563,
099,112,955,172,977,847,976,680,812,672,841,541,458,650,791,109,370,127,656,
886,454,550,178,054,766,546,915,492,803,185,815,762,877,687,073,224,076,245,
612,535,205,323,239,505,481,639,703,922,815,751,708,079,778,298,326,508,717,
243,892,821,459,907,533,190,210,970,976,611,759,504,943,623,969,152,425,772,
747,310,468,123,681,418,832,369,235,558,144,389,834,330,218,997,197,832,909,
555,505,615,657,043,957,608,416,428,863,350,137,726,048,487,507,622,720,445,
722,644,831,371,726,885,664,689,834,174,880,733,118,863,720,556,864,800,244,
077,487,019,391,047,303,791,816,117,024,737,495,067,519,933,319,703,005,577,
597,339,889,405,260,527,006,644,321,946,288,552,681,286,778,739,896,682,194,
230,457,530,139,440,137,832,830,676,058,929,521,329,313,868,758,266,208,285,
921,654,693,340,038,738,815,825,140,249,687,905,369,387,389,042,604,366,486,
647,878,153,680,186,919,037,379,754,064,971,635,381,344,699,407,799,069,163,
711,694,864,997,954,192,846,283,842,335,451,475,166,586,945,091,593,484,342,
944,003,323,215,664,112,056,276,078,478,674,287,311,191,832,482,148,956,748,
544,114,823,171,789,993,850,164,049,953,180,178,408,857,986,037,412,997,434,
245,659,240,106,310,648,000,182,273,418,983,680,469,744,412,867,132,475,332,
879,119,310,092,257,858,831,537,925,202,637,930,149,006,423,144,885,310,491,
263,296,784,918,883,003,837,413,150,834,096,880,578,152,823,228,874,966,595,
050,495,287,703,420,831,097,906,593,400,687,888,994,543,251,026,196,792,044,
547,469,596,125,698,407,821,857,687,356,836,314,756,996,510,653,226,578,045,
674,042,849,914,221,522,830,550,535,131,827,547,417,126,888,743,163,713,310,
531,650,975,867,329,674,544,498,501,155,607,450,935,739,017,201,864,748,360,
945,615,697,314,043,920,955,319,120,784,772,972,122,347,834,818,845,791,945,
283,593,849,303,242,620,689,636,287,383,517,272,167,074,921,367,088,307,744,
590,557,540,313,844,586,301,574,907,297,789,170,769,447,478,348,404,772,912,
947,746,060,360,120,443,079,247,813,717,895,656,596,101,834,450,489,757,889,
290,242,547,539,420,566,953,419,604,019,168,977,057,111,189,684,121,538,189,
444,658,252,279,091,733,151,837,108,837,049,914,504,597,140,820,202,992,784,
645,063,347,993,968,824,198,742,096,535,799,904,942,810,032,879,382,585,823,
469,727,404,033,785,620,167,942,677,096,924,241,607,251,551,318,065,233,977,
816,089,247,785,568,573,096,177,307,593,831,121,106,730,919,362,441,942,368,
645,446,291,643,560,129,397,071,696,451,204,536,876,963,833,004,712,778,704,
786,380,325,962,575,926,167,324,268,917,449,022,533,440,524,232,970,211,079,
719,226,042,740,003,103,674,319,443,193,572,221,928,123,887,764,174,249,048,
148,946,616,039,251,187,638,649,625,662,074,118,972,551,687,224,478,656,217,
263,833,345,682,052,444,787,432,586,629,563,163,399,918,815,057,817,936,327,
929,808,746,434,274,412,245,177,206,262,987,250,013,358,508,371,353,988,257,
882,844,060,227,991,856,920,820,381,853,844,658,385,839,764,029,148,661,584,
547,001,391,233,015,018,676,955,775,823,655,762,615,991,597,376,510,261,275,
603,904,641,271,593,983,241,134,384,398,904,896,753,001,819,792,981,142,510,
515,273,312,689,593,627,945,064,359,077,912,828,375,221,683,784,373,686,015,
415,462,193,623,030,684,312,817,440,594,636,709,768,770,027,796,219,200,416,
860,419,142,026,207,241,411,921,733,707,578,973,874,539,347,565,215,647,148,
531,938,516,385,263,237,169,327,779,907,420,217,584,707,338,126,741,181,286,
614,908,092,141,016,045,406,902,917,956,978,260,647,997,187,373,502,144,168,
562,417,077,110,499,253,808,931,387,805,397,878,996,257,387,271,737,975,660,
487,066,905,794,116,254,289,607,517,910,023,918,272,636,180,589,184,320,887,
022,918,757,411,816,603,388,202,835,233,491,646,479,145,571,645,129,021,202,
451,165,239,579,317,117,373,304,358,159,772,546,260,903,274,768,664,523,860,
438,931,867,698,875,426,669,905,234,401,643,843,612,551,080,664,696,089,713,
701,479,620,012,496,760,576,711,847,021,978,628,424,791,454,775,913,364,476,
855,399,600,621,582,492,143,732,285,465,278,133,387,381,507,748,996,427,873,
208,146,530,133,977,538,697,004,998,591,812,374,967,579,257,556,560,645,873,
646,468,432,917,390,755,443,369,495,666,024,546,419,628,010,627,050,148,362,
261,528,910,732,027,601,549,225,766,161,196,473,931,447,026,337,475,648,640,
884,158,585,499,897,224,909,250,803,979,121,897,198,128,088,681,231,204,563,
416,266,274,515,083,865,495,724,586,077,433,227,952,974,163,940,823,460,584,
005,016,772,265,516,837,844,335,318,333,109,506,393,263,966,705,280,143,312,
045,882,779,142,338,144,106,468,978,431,640,023,609,063,936,789,998,531,449,
757,206,410,657,878,983,264,461,669,356,067,060,142,699,728,704,590,303,928,
587,103,364,944,109,632,344,591,227,964,213,573,270,105,034,507,948,558,149,
087,040,887,457,149,674,487,276,071,158,479,571,034,435,291,531,194,178,604,
313,788,582,536,581,230,558,161,436,253,984,825,188,474,766,219,911,332,028,
070,456,729,959,914,903,864,286,282,353,858,989,055,704,697,742,129,127,383,
038,586,494,368,776,660,580,796,588,891,830,527,010,893,845,674,748,007,099,
826,295,262,624,676,600,355,110,487,376,687,373,158,922,681,879,900,099,501,
051,168,882,902,595,731,352,981,660,843,529,696,169,866,851,093,228,956,169,
463,585,533,084,986,493,033,744,922,114,301,508,706,328,100,211,737,784,579,
257,895,457,655,054,631,361,172,796,349,241,347,223,849,504,341,273,110,943,
369,059,680,994,427,783,961,562,421,046,297,281,242,622,190,923,239,875,024,
264,051,262,972,293,452,028,700,587,418,120,907,418,185,285,443,811,905,312,
654,613,371,036,862,838,539,622,843,079,327,945,472,529,841,055,295,295,368,
143,632,134,774,019,012,224,288,424,447,408,881,305,630,911,386,786,176,931,
677,714,719,913,601,961,979,126,103,731,963,304,801,706,825,208,950,697,178,
899,921,002,836,631,447,598,855,661,476,470,204,430,382,352,631,982,940,747,
687,304,474,947,774,851,990,965,360,435,949,348,027,222,587,243,505,410,587,
390,199,444,233,726,725,018,457,315,077,177,829,308,324,855,237,855,536,258,
649,748,107,144,492,897,092,654,280,781,709,397,120,238,830,060,428,930,873,
323,833,610,555,090,767,528,078,524,956,019,822,845,615,735,824,973,061,652,
465,284,620,894,124,276,682,486,841,359,533,148,724,680,185,083,859,074,693,
836,047,125,339,714,825,001,715,328,808,633,848,578,495,967,200,843,645,340,
640,936,344,899,841,859,362,681,195,907,605,255,680,314,413,697,402,203,941,
725,623,192,689,182,506,141,462,554,062,126,629,259,797,520,686,691,947,119,
109,227,828,563,694,912,935,244,894,784,150,366,349,304,649,682,398,388,905,
669,301,766,877,449,783,262,188,119,749,420,958,703,195,646,378,290,615,354,
520,637,870,075,163,503,236,041,890,776,217,316,411,984,471,311,019,605,933,
861,961,509,598,605,220,445,108,930,421,075,234,664,270,995,293,456,917,802,
249,280,345,838,335,630,887,981,324,540,252,630,563,468,842,834,634,337,638,
995,338,644,500,239,702,687,621,522,445,213,638,973,279,667,126,983,938,471,
984,443,702,364,926,454,209,357,715,557,056,590,998,559,680,821,807,184,995,
976,356,215,982,439,976,469,726,740,128,357,447,206,921,824,803,364,263,767,
752,903,696,207,635,320,559,831,098,272,608,101,418,704,040,239,157,738,873,
635,527,738,399,113,565,858,249,827,581,669,165,069,773,523,167,122,309,282,
987,046,253,269,243,133,690,437,361,274,523,429,436,609,635,319,286,770,468,
042,587,248,625,600,952,466,714,622,097,781,664,248,905,936,790,907,499,918,
014,520,798,752,443,044,448,009,360,038,369,253,417,498,216,819,537,985,651,
141,061,189,297,785,933,312,818,988,692,239,367,731,127,269,523,372,821,497,
682,918,635,796,863,898,665,008,292,964,158,747,149,735,491,097,213,867,152,
699,031,626,793,301,972,643,648,910,639,443,623,028,268,933,446,129,112,903,
807,935,671,244,630,675,591,351,799,846,465,326,424,620,589,197,014,944,392,
477,120,145,017,688,005,559,132,239,493,989,567,164,901,211,176,228,954,492,
997,904,858,033,786,523,594,366,786,447,125,909,828,463,614,057,294,346,056,
071,319,702,467,059,013,186,614,758,169,672,443,556,538,611,102,529,620,121,
883,419,215,471,234,392,138,527,100,634,817,853,102,119,871,705,329,278,322,
795,178,162,779,094,544,765,145,619,662,678,967,521,496,501,984,698,876,112,
970,622,774,915,763,961,167,249,065,015,434,252,177,368,591,573,167,716,996,
859,664,241,829,577,043,863,436,868,442,929,945,807,194,974,852,324,183,890,
173,507,972,209,142,208,032,991,868,579,384,198,320,257,839,233,004,213,741,
130,937,129,533,537,706,881,447,467,576,727,789,124,536,158,704,353,876,685,
044,053,540,590,600,767,792,639,414,687,148,950,275,684,340,253,789,687,818,
228,727,157,922,173,653,403,114,391,859,334,218,330,045,314,107,908,923,533,
863,331,640,214,573,956,640,596,720,277,296,258,606,888,577,862,828,028,037,
827,148,241,933,675,202,646,871,409,374,425,941,771,803,884,320,974,170,829,
786,175,565,442,314,577,148,875,372,795,131,262,310,898,938,318,576,245,258,
129,491,090,468,017,736,172,466,053,310,335,021,095,364,457,240,840,496,847,
129,424,468,019,163,355,436,120,473,637,276,746,364,641,070,324,244,238,673,
674,540,133,043,471,858,902,705,306,628,388,810,568,760,927,941,442,533,893,
095,139,463,548,102,148,764,066,595,361,218,539,496,318,914,273,958,287,650,
848,760,583,070,985,648,620,367,589,326,025,071,175,483,550,285,199,128,498,
105,593,391,975,161,420,296,073,188,599,882,263,396,160,494,439,283,572,859,
864,563,628,759,667,382,974,682,390,789,800,045,474,783,429,879,668,650,913,
215,469,184,882,584,817,014,043,751,413,075,225,322,243,784,556,614,171,384,
274,812,864,514,621,737,601,863,516,038,099,035,448,070,644,930,232,558,537,
719,244,379,529,937,617,373,321,130,589,454,541,851,388,291,651,523,918,131,
710,453,734,110,770,598,135,721,193,076,518,532,669,069,439,355,034,475,373,
111,061,236,058,761,513,878,641,518,524,730,333,765,555,709,879,864,310,313,
072,244,943,914,282,284,703,704,852,712,936,392,566,314,059,053,583,394,526,
212,770,396,382,744,481,546,067,130,693,974,976,473,484,295,985,716,556,861,
709,764,264,547,944,212,417,304,945,207,109,289,350,343,815,560,091,644,703,
923,643,974,876,468,336,130,515,396,206,306,300,474,353,655,036,755,710,485,
721,057,384,045,027,640,974,120,733,656,957,635,365,488,263,459,720,229,946,
807,402,430,440,122,538,305,745,961,024,448,191,125,148,177,433,155,810,492,
264,420,425,453,406,367,208,971,340,254,106,869,019,980,494,309,637,745,652,
887,306,004,966,521,794,596,357,526,666,266,990,014,185,193,673,106,744,526,
337,471,458,409,479,764,840,816,952,067,378,613,157,748,345,589,780,645,393,
654,571,858,338,983,844,288,567,966,944,316,321,497,044,126,458,293,217,913,
910,989,156,485,572,589,974,485,943,076,315,393,441,333,364,175,545,915,755,
851,614,564,465,478,578,154,710,383,692,632,329,306,716,448,027,662,143,557,
500,856,855,410,556,207,166,753,976,799,349,479,807,651,987,627,080,984,144,
887,439,098,412,333,670,509,986,316,698,974,860,942,205,824,756,874,489,010,
843,933,758,607,023,394,218,435,666,260,149,402,299,618,124,160,451,346,101,
214,352,997,469,252,431,155,168,188,496,750,512,805,743,955,191,540,720,695,
018,614,073,875,671,608,513,563,154,816,137,756,156,033,886,137,101,269,218,
601,983,193,251,007,097,580,261,482,763,552,125,970,291,643,248,024,296,161,
800,897,082,442,376,553,732,833,479,798,224,375,816,950,693,513,074,131,382,
444,605,247,256,320,741,079,495,518,352,202,238,070,564,259,490,718,180,908,
755,206,042,987,086,221,765,182,250,648,943,066,838,380,555,766,454,250,267,
774,041,366,905,718,519,892,548,464,471,996,837,114,101,462,532,117,640,984,
668,213,572,379,011,919,176,794,829,778,948,057,988,400,710,810,466,117,145,
817,986,662,630,305,661,423,976,529,982,748,025,162,609,851,124,997,507,367,
595,860,760,250,245,911,303,909,173,423,697,627,746,771,292,281,571,804,260,
524,620,723,634,578,486,844,761,706,815,217,356,638,267,927,102,158,776,369,
239,081,102,179,868,463,458,327,689,223,013,455,980,224,531,139,755,374,586,
708,261,852,145,968,821,109,920,561,662,617,519,502,136,218,015,081,746,843,
767,588,671,527,157,391,914,705,888,241,596,478,338,563,058,620,086,482,994,
788,828,594,883,392,474,744,679,551,778,176,933,638,725,082,700,377,481,775,
548,115,035,626,621,282,170,643,535,984,994,481,345,027,655,748,017,249,658,
262,455,877,140,081,950,525,823,387,006,454,057,837,186,783,596,550,722,624,
147,730,420,799,103,101,136,224,341,430,793,650,457,892,915,658,426,654,490,
333,028,080,619,053,561,901,428,874,176,886,514,850,922,662,510,800,690,818,
380,817,511,749,472,579,338,807,184,274,873,111,185,412,411,403,802,707,695,
358,064,289,237,745,361,271,177,137,558,676,916,642,437,423,592,499,670,517,
423,358,419,374,985,599,937,501,547,837,440,377,401,410,357,643,644,884,599,
242,260,940,473,931,121,093,059,701,549,867,418,513,762,499,316,137,387,773,
047,562,438,131,073,669,682,653,823,835,354,213,832,150,738,615,601,917,192,
549,168,242,170,902,066,272,316,096,790,275,381,948,125,423,753,528,924,868,
526,372,279,989,781,174,723,660,572,211,693,103,394,301,845,279,754,539,625,
097,164,276,365,828,575,267,395,303,698,190,238,782,408,467,855,150,339,179,
426,144,459,631,661,397,918,057,620,648,617,772,763,815,186,044,525,728,258,
338,943,711,124,944,836,507,463,417,757,753,729,150,001,049,195,212,250,000,
615,925,128,231,365,697,964,656,229,517,134,207,900,808,351,018,756,861,578,
258,590,226,591,197,196,979,311,667,172,571,026,839,986,291,390,393,098,778,
500,317,144,784,734,102,884,615,138,570,805,806,700,183,314,331,151,797,675,
592,652,173,403,226,025,711,458,348,276,538,394,537,052,466,122,195,048,408,
650,325,968,833,983,886,200,797,447,457,534,568,001,713,636,578,526,340,791,
503,152,285,388,230,190,168,449,637,942,239,405,644,473,859,511,930,173,797,
727,795,475,831,229,086,499,507,522,844,706,280,257,428,265,422,102,628,784,
335,440,299,109,917,684,763,420,370,310,057,030,056,319,687,904,268,409,962,
387,083,950,875,752,681,181,588,342,307,834,480,702,601,786,708,533,587,341,
131,354,357,644,704,659,749,957,066,806,336,168,400,997,418,042,954,668,797,
336,861,120,802,175,397,705,341,406,309,405,255,526,686,158,145,014,696,376,
369,733,181,232,714,028,772,012,358,070,108,546,397,157,806,740,852,220,499,
722,903,076,017,497,952,716,976,943,588,714,142,723,869,473,267,435,927,469,
777,252,272,542,794,743,761,759,027,629,997,237,765,823,099,765,353,853,974,
159,952,612,911,690,079,390,277,473,040,607,319,213,815,919,530,290,795,572,
724,935,930,533,913,242,708,365,060,807,155,675,937,039,756,701,629,976,694,
565,421,643,815,177,851,136,264,417,897,210,256,694,932,248,739,029,624,339,
380,985,391,256,233,720,726,993,402,051,756,190,731,827,596,710,276,996,958,
013,488,184,473,479,203,662,533,182,847,282,115,059,692,513,858,730,120,681,
601,971,545,058,515,799,257,383,629,269,345,935,674,857,029,684,514,198,723,
928,345,533,572,021,814,689,503,451,730,395,234,656,840,735,440,290,690,813,
074,362,494,419,923,912,133,152,429,264,192,671,257,738,842,669,669,753,197,
517,358,533,883,410,626,239,536,786,740,364,556,091,269,282,951,059,027,242,
945,621,668,077,031,706,548,727,260,457,282,741,228,350,403,759,521,235,675,
551,469,309,988,610,268,904,180,017,866,270,837,544,125,698,743,568,526,066,
209,548,626,040,573,119,570,240,169,481,146,100,825,430,293,395,588,919,111,
291,414,989,154,150,775,808,275,686,240,722,856,219,443,373,926,708,442,729,
698,893,428,905,941,725,897,628,111,829,068,525,210,050,003,343,045,966,592,
450,857,002,330,572,565,662,647,954,572,920,479,974,252,736,364,756,938,697,
249,517,555,656,376,311,845,474,870,379,162,343,030,162,814,372,947,203,841,
731,200,369,074,132,098,408,155,275,448,085,512,300,261,003,153,024,797,154,
373,127,105,160,920,357,296,633,307,713,415,488,667,324,914,023,767,113,247,
585,402,783,325,876,661,649,103,275,582,825,827,336,420,751,030,251,062,407,
105,279,547,729,664,381,722,183,859,291,414,437,012,039,722,912,583,646,200,
489,340,653,091,842,934,566,607,110,358,446,013,756,149,035,525,102,685,220,
183,129,948,225,483,389,182,801,850,771,292,577,892,673,847,246,243,450,285,
129,171,895,565,558,932,485,438,083,177,436,772,916,223,122,058,384,410,124,
491,624,958,754,016,947,961,041,770,627,851,680,643,327,719,251,379,344,143,
139,101,044,818,668,870,051,091,328,377,496,050,541,082,171,765,766,756,941,
577,120,877,652,653,209,589,660,592,224,574,466,223,945,482,415,988,845,225,
344,104,171,256,848,117,185,542,498,070,596,586,660,920,476,041,723,192,113,
102,348,928,883,541,053,239,434,337,586,904,384,369,435,708,612,167,767,644,
168,843,218,906,272,512,318,292,728,768,711,244,866,048,162,927,631,811,275,
303,534,571,861,873,066,944,782,658,765,860,779,207,938,018,734,902,460,646,
777,823,591,626,685,166,977,315,043,092,423,492,623,713,574,710,867,394,467,
346,908,938,689,029,618,506,905,458,889,469,067,264,335,244,808,246,665,799,
719,767,970,974,681,081,554,825,889,574,750,416,258,301,171,628,211,417,790,
754,329,918,494,313,481,874,277,737,785,804,931,720,230,995,156,718,905,543,
652,718,406,156,994,677,084,937,929,702,878,124,528,488,688,112,579,550,697,
653,307,733,661,179,601,772,960,752,107,669,145,227,498,205,692,058,509,712,
483,726,559,953,891,198,517,375,484,720,026,788,794,639,628,357,861,761,398,
754,341,643,528,409,874,257,897,501,396,069,749,097,875,367,779,852,010,929,
204,962,173,147,315,931,797,605,718,032,490,109,646,338,537,100,661,049,424,
782,579,150,044,980,497,802,159,199,038,941,115,144,472,421,392,188,273,199,
356,663,276,856,812,083,970,246,194,797,787,841,137,965,655,846,692,860,291,
819,366,396,110,368,394,527,092,819,689,126,311,952,075,034,774,573,619,971,
090,485,471,073,776,404,101,926,541,907,149,000,461,268,222,958,134,681,710,
604,384,790,447,494,308,423,448,517,960,793,928,458,501,332,916,918,021,242,
878,387,001,328,557,838,042,866,307,919,645,917,717,201,804,447,359,537,229,
404,859,662,888,320,270,837,182,394,088,090,161,088,118,946,149,377,838,393,
832,130,674,764,154,530,697,842,628,902,705,470,944,196,169,095,787,074,058,
443,983,364,574,256,158,294,510,281,744,091,771,656,193,334,692,483,225,196,
058,570,227,153,374,275,452,969,690,833,492,280,769,634,585,019,117,135,366,
919,404,255,946,079,624,518,887,623,056,301,874,183,933,164,636,598,191,983,
309,905,058,107,449,038,073,464,105,749,708,792,359,751,345,680,313,102,304,
143,515,965,153,877,723,487,661,190,606,839,424,056,728,641,670,485,600,983,
173,813,451,431,311,484,796,872,025,245,350,308,794,777,892,053,134,554,915,
939,849,520,318,189,608,625,185,231,746,001,216,035,489,083,694,143,986,110,
634,584,439,133,373,667,758,466,523,104,087,601,655,406,356,706,549,348,684,
996,191,809,669,574,216,290,054,912,887,443,931,037,125,924,843,545,446,181,
464,538,848,295,723,777,786,419,105,266,023,831,976,650,887,244,261,022,064,
947,960,773,757,074,061,854,190,891,161,043,542,715,049,577,916,970,228,157,
153,548,186,798,187,226,528,417,763,767,092,499,428,570,932,722,581,829,863,
056,107,145,358,895,774,287,925,389,703,414,538,652,870,807,461,610,877,805,
521,217,198,091,762,123,892,603,873,207,055,784,957,065,480,091,332,800,843,
134,805,613,536,534,248,093,192,333,042,037,018,599,390,356,183,375,232,994,
280,390,822,319,906,584,079,959,115,030,846,895,352,229,572,156,439,754,463,
386,984,943,411,915,748,934,108,791,512,417,602,053,331,737,572,582,489,436,
720,615,904,434,810,084,490,600,704,293,477,860,899,815,951,521,028,091,368,
062,132,930,203,503,979,179,302,903,459,622,137,162,108,613,137,041,656,499,
414,391,240,614,575,416,401,564,238,205,171,441,210,354,019,312,106,789,483,
363,537,457,312,773,637,219,040,403,879,549,385,376,778,943,011,947,546,406,
423,500,366,638,174,299,526,437,397,803,722,232,393,300,693,236,747,501,256,
693,045,458,504,051,751,863,494,147,282,874,956,898,550,459,458,919,544,727,
545,608,821,382,532,395,850,545,642,328,907,790,301,354,545,564,460,338,743,
071,276,605,959,555,311,117,356,748,189,752,562,469,184,624,682,789,444,905,
975,067,933,277,114,962,476,143,201,931,184,700,903,302,160,028,182,437,182,
144,228,179,057,016,620,981,777,706,427,060,458,002,735,854,234,901,190,425,
070,038,865,009,289,168,307,181,965,972,533,918,183,880,600,305,568,339,976,
078,887,952,878,019,481,286,949,142,729,965,974,186,646,963,028,429,234,167,
544,639,171,705,438,214,723,806,101,113,360,935,006,514,429,503,353,323,329,
535,845,727,009,786,079,735,764,887,801,945,734,859,552,913,507,580,090,967,
994,500,372,689,648,436,982,141,857,377,158,624,712,247,245,706,369,677,810,
120,282,626,436,521,808,548,306,557,959,790,795,521,477,306,745,143,545,138,
204,933,147,087,535,211,897,921,949,256,944,900,095,085,674,136,665,038,457,
390,157,987,689,057,219,508,315,021,045,198,999,255,020,363,446,037,187,594,
632,525,111,600,924,893,798,336,835,018,151,343,921,204,616,427,452,193,043,
097,603,264,716,861,320,219,195,984,216,149,244,438,372,743,038,593,715,223,
257,187,878,487,690,589,509,779,962,488,800,763,020,399,126,986,649,256,366,
651,504,576,773,248,127,970,540,210,260,836,913,558,085,191,570,231,524,957,
299,065,708,541,597,107,530,257,533,186,750,637,371,197,394,133,648,095,602,
786,917,546,414,171,465,193,717,470,508,466,802,407,970,540,682,649,075,384,
433,320,835,690,963,432,506,081,414,225,215,276,823,511,094,921,221,552,464,
543,217,112,292,907,473,955,934,481,320,238,336,730,980,892,693,128,467,650,
644,957,104,644,398,473,025,239,546,277,756,374,543,890,687,986,184,318,618,
653,338,579,769,984,189,320,166,450,560,989,968,034,335,311,621,150,346,061,
326,520,918,304,936,779,785,605,086,700,373,323,311,750,910,164,517,380,731,
941,421,098,333,714,170,969,761,364,255,306,063,957,371,951,403,067,665,073,
100,088,356,428,671,110,616,528,346,232,300,856,544,832,091,245,390,661,703,
039,887,901,624,793,732,279,735,992,073,268,076,233,069,135,215,616,780,744,
883,148,609,090,368,609,544,269,175,001,513,972,194,484,195,769,426,559,433,
352,153,788,615,846,447,931,502,003,818,506,810,882,691,953,859,582,006,387,
466,000,863,513,939,334,303,540,087,509,105,944,012,438,231,179,310,578,611,
537,504,416,010,989,163,653,369,714,309,279,316,259,627,157,613,620,396,876,
019,607,418,672,491,232,696,481,691,734,294,293,431,323,969,422,912,217,046,
063,834,027,393,266,002,103,127,958,932,130,826,892,514,188,007,504,467,559,
640,317,843,933,938,473,454,785,107,503,856,755,646,084,191,614,233,653,469,
984,990,538,569,224,005,407,044,523,412,141,158,082,443,701,691,160,107,395,
563,555,079,465,289,777,793,897,291,114,882,850,685,494,952,104,621,398,571,
998,027,465,576,622,619,829,836,918,064,780,871,373,433,674,445,338,088,205,
043,185,298,059,895,534,886,971,999,858,374,456,756,277,307,401,075,158,149,
224,065,161,305,565,057,955,403,172,347,339,575,758,572,826,006,264,567,950,
898,959,784,241,522,611,804,678,657,506,478,441,814,981,482,601,663,563,895,
779,047,278,165,056,371,426,594,016,987,037,009,753,078,824,350,295,763,994,
574,819,176,056,741,063,069,132,460,200,146,792,562,640,887,176,778,426,748,
131,561,899,286,686,534,794,424,048,588,654,839,942,942,992,844,944,871,974,
609,729,498,155,580,442,908,937,324,534,533,587,320,948,596,228,802,085,184,
721,935,539,945,140,068,073,375,420,785,127,250,904,010,520,292,226,643,002,
530,708,216,299,331,717,883,639,451,361,213,249,390,538,045,390,016,222,217,
311,372,744,619,213,786,454,283,889,906,893,046,948,516,552,926,333,104,810,
069,106,791,100,377,732,950,083,557,754,010,511,146,351,677,460,909,619,146,
886,602,360,650,912,217,056,659,361,961,688,620,083,079,172,963,999,020,005,
012,567,962,723,051,403,722,886,610,924,762,799,630,454,224,454,133,902,410,
257,349,583,461,893,197,185,517,493,398,739,540,812,390,862,385,480,730,354,
905,156,665,327,147,383,379,247,099,103,922,761,952,994,539,467,412,623,302,
524,850,302,690,592,570,150,695,354,180,725,451,154,731,419,834,560,274,372,
675,107,849,924,724,721,641,175,085,005,880,845,860,700,659,907,640,466,732,
184,783,479,801,572,758,993,171,338,989,625,088,840,720,056,352,325,300,902,
631,603,023,095,949,374,833,706,948,936,011,153,531,389,218,049,705,412,466,
448,479,909,273,259,243,782,397,862,392,962,708,413,694,106,257,620,753,446,
051,795,498,033,438,945,774,188,247,500,362,709,390,038,474,210,875,656,447,
903,349,478,548,819,490,111,989,476,151,043,443,857,433,619,155,130,227,968,
653,708,009,302,781,629,401,918,091,176,928,269,960,583,504,927,714,882,827,
704,627,290,735,948,066,902,770,334,729,986,766,773,305,602,319,869,720,723,
926,148,024,860,650,262,686,502,034,873,580,923,349,388,917,834,759,354,601,
696,428,280,631,955,855,683,129,953,625,876,886,406,605,334,491,109,826,784,
488,537,058,878,271,458,287,683,193,976,648,432,555,511,595,640,977,104,499,
265,826,742,219,615,561,307,705,859,996,285,701,601,177,039,855,331,092,056,
275,522,853,319,886,883,086,462,531,527,362,937,964,986,138,679,411,224,686,
743,537,843,528,998,210,191,854,459,096,868,426,670,166,165,914,232,972,952,
339,064,455,401,216,559,352,642,419,431,018,621,907,303,032,133,524,573,649,
779,488,767,885,856,948,512,549,729,088,719,556,921,920,665,076,353,964,741,
099,967,878,682,946,830,358,501,079,852,390,514,355,884,030,345,260,512,634,
356,964,981,674,677,481,574,759,869,881,420,676,060,063,854,332,030,225,936,
558,188,694,780,323,295,617,375,822,621,411,675,864,795,128,374,776,146,410,
095,296,908,651,379,932,030,682,565,339,501,894,907,123,602,480,248,556,580,
411,321,273,047,452,509,242,985,658,784,769,373,957,368,215,139,317,239,788,
072,541,483,956,939,042,460,874,225,928,377,409,254,126,068,594,736,941,011,
078,727,785,327,613,220,272,837,099,358,035,725,922,467,658,040,618,029,805,
182,966,182,389,542,276,639,516,839,636,111,355,153,761,641,410,517,325,478,
415,408,930,101,172,351,986,648,762,090,622,390,727,177,086,999,016,555,593,
576,896,625,881,992,356,449,650,891,892,324,234,202,921,267,534,171,578,378,
449,074,280,899,583,398,394,088,340,487,576,946,154,858,285,762,843,824,415,
778,860,047,836,813,234,926,549,866,170,104,451,376,394,792,446,437,602,028,
402,661,671,615,074,300,763,958,409,850,555,157,506,743,975,473,681,664,734,
554,450,268,024,921,276,269,582,480,598,450,712,771,869,670,853,160,448,573,
734,884,555,282,345,402,078,158,795,112,353,458,789,031,090,462,342,964,114,
803,527,473,990,044,486,359,904,982,235,779,259,893,969,114,162,024,842,461,
857,496,840,809,508,069,421,390,774,001,987,048,342,585,961,689,212,339,242,
463,232,205,673,412,316,481,923,109,338,905,126,602,816,945,316,729,308,672,
258,312,930,508,531,784,084,162,630,201,613,569,977,203,392,193,567,195,447,
501,975,239,570,199,829,404,780,427,175,478,811,494,361,054,668,178,320,079,
311,012,561,058,034,691,336,890,840,781,824,938,412,431,863,230,880,094,831,
312,056,004,288,523,388,153,922,270,044,916,002,636,416,119,115,667,122,006,
195,850,401,272,489,323,890,958,903,928,626,107,912,398,273,066,660,817,601,
090,718,924,250,463,847,129,546,108,161,878,584,448,620,508,466,683,677,792,
220,585,638,883,416,076,133,704,443,522,607,462,411,024,640,418,441,982,934,
101,996,309,028,469,620,825,240,696,404,687,632,459,158,303,664,006,168,624,
082,661,274,847,023,529,732,298,102,943,657,167,515,879,517,892,799,024,384,
434,762,746,863,171,488,346,502,176,807,816,635,020,515,911,012,439,488,839,
386,383,770,469,749,006,986,046,573,145,858,187,213,658,674,944,460,238,250,
191,097,997,423,690,409,921,402,292,001,440,731,391,343,042,131,651,224,632,
121,864,673,067,634,822,364,748,532,182,398,032,978,790,750,361,839,972,759,
824,856,672,315,887,082,369,427,309,912,315,481,002,621,996,154,967,494,816,
596,602,432,916,730,834,068,497,608,225,763,735,553,946,705,225,638,838,699,
680,842,189,498,756,772,507,740,506,066,174,084,818,013,023,147,352,134,307,
237,244,219,036,914,532,005,477,774,969,604,488,493,020,597,192,775,113,394,
255,383,727,452,516,711,318,015,131,307,015,562,621,397,060,833,054,493,590,
599,911,718,780,583,578,975,402,670,253,609,594,635,285,681,631,048,860,064,
443,301,542,024,424,895,693,166,746,916,715,187,957,564,824,240,833,708,862,
703,078,272,058,552,656,866,051,829,901,622,880,482,938,281,990,743,363,701,
106,941,066,738,678,474,818,329,654,996,571,269,668,651,523,703,930,378,272,
634,760,002,519,621,415,333,972,020,216,426,177,025,371,297,639,787,471,215,
368,151,831,661,160,095,813,460,369,332,447,263,811,083,670,639,823,326,543,
831,712,311,796,497,228,460,230,723,674,461,204,620,821,782,046,114,207,579,
236,236,597,414,979,282,502,053,704,826,977,287,885,608,240,245,050,269,579,
220,793,609,434,299,072,102,241,226,446,274,198,532,244,854,222,272,707,757,
849,496,566,590,555,887,874,479,052,537,202,610,463,412,524,844,195,269,562,
201,504,858,878,705,433,069,520,731,251,371,450,829,357,047,725,403,227,867,
548,000,500,091,353,961,469,983,357,537,276,753,306,421,375,016,397,095,454,
766,555,159,142,231,381,319,342,498,904,517,887,642,624,531,996,465,824,075,
617,057,621,476,057,959,860,068,171,601,464,224,683,778,120,014,580,066,064,
199,734,425,929,555,390,113,957,561,752,814,839,422,830,067,698,711,458,809,
280,651,343,881,651,775,041,107,086,247,600,635,990,208,846,104,974,769,009,
048,871,859,335,102,849,550,896,354,378,721,950,837,439,992,683,895,280,738,
750,913,724,151,455,623,176,243,168,650,309,408,450,547,724,843,518,083,918,
982,864,604,740,090,690,748,816,809,246,859,984,948,786,734,647,114,727,538,
362,713,843,872,015,000,003,929,785,606,563,996,511,555,996,874,908,038,141,
573,427,268,964,038,939,801,922,027,720,590,844,685,060,322,215,034,628,672,
843,566,033,749,578,781,113,456,768,810,960,609,562,099,575,222,631,398,548,
472,587,286,206,981,991,745,966,653,178,432,259,754,949,565,980,925,163,001,
700,309,866,715,833,430,829,610,149,087,876,367,907,463,190,021,940,641,150,
684,089,517,499,479,960,901,560,433,633,097,948,926,655,251,024,724,367,500,
548,762,144,709,600,430,333,706,321,180,273,179,690,766,864,553,808,738,184,
495,565,556,609,966,816,163,694,956,463,782,845,465,838,662,048,905,182,529,
206,234,349,838,323,962,011,330,716,665,857,622,315,335,287,965,797,686,920,
709,097,527,082,714,737,120,115,860,727,275,808,705,989,279,811,133,090,215,
315,724,504,986,920,132,145,506,626,651,954,622,986,634,914,021,406,776,462,
949,148,326,924,609,029,056,333,028,656,748,871,969,277,736,091,970,053,447,
477,917,242,051,745,880,773,048,063,120,173,207,406,475,769,690,418,234,261,
709,760,514,418,745,994,238,128,038,260,668,422,507,521,025,160,508,342,823,
711,088,794,866,927,624,000,195,180,542,020,860,629,534,905,417,717,358,565,
225,547,684,836,633,460,614,947,388,122,365,661,710,843,043,972,166,519,889,
781,606,285,820,063,567,094,984,512,459,818,519,690,661,090,871,604,955,527,
274,652,344,162,061,040,516,352,658,497,946,470,985,728,678,746,912,619,966,
753,160,049,399,789,942,589,240,761,653,200,676,585,889,051,861,263,031,395,
952,242,759,290,507,946,471,602,965,492,425,835,616,704,561,035,941,089,094,
063,920,328,641,744,867,417,419,540,372,744,068,162,703,743,202,135,905,228,
763,293,061,481,612,579,524,857,926,802,143,105,740,557,811,916,614,135,164,
232,678,244,330,578,719,327,092,163,800,201,278,808,107,203,926,483,843,264,
177,901,784,896,608,314,978,101,900,920,528,901,071,218,950,416,227,870,138,
621,305,246,348,473,602,612,072,076,721,920,076,425,849,191,920,846,000,724,
015,748,969,015,656,071,093,495,554,053,238,213,607,658,191,812,863,585,835,
009,381,769,592,353,402,971,389,091,790,590,866,781,092,671,912,982,533,119,
624,121,224,833,297,688,928,546,279,788,562,302,975,296,503,568,321,709,346,
763,110,634,979,958,871,605,806,632,134,303,379,583,195,893,999,949,207,742,
061,166,201,841,249,849,311,350,842,164,107,692,200,368,265,695,409,898,808,
194,187,091,399,936,411,146,506,196,642,373,873,087,014,350,926,242,464,790,
038,831,502,739,716,262,090,269,506,843,420,983,843,326,551,680,687,758,199,
856,280,961,238,850,648,006,070,501,243,078,701,984,522,344,874,066,262,871,
107,930,476,895,790,588,134,478,690,407,583,077,212,869,893,958,074,856,140,
987,070,454,622,100,193,288,679,851,769,219,158,082,384,886,923,747,243,562,
055,444,962,841,152,076,852,359,471,294,160,654,518,841,558,806,096,314,406,
667,691,702,508,273,098,117,635,128,144,798,093,496,024,871,185,676,708,807,
296,450,180,280,407,824,987,961,586,388,597,273,794,314,733,367,211,509,796,
387,175,896,681,701,294,356,974,672,201,665,992,024,236,520,003,415,928,555,
938,327,972,497,939,413,472,798,346,428,861,937,334,786,301,291,554,975,350,
660,525,801,814,872,116,575,916,540,525,481,024,435,581,537,623,100,110,558,
661,979,689,811,814,631,877,217,527,344,151,228,968,913,918,890,316,633,140,
523,688,204,395,063,676,115,683,065,074,559,869,469,737,767,551,700,704,359,
955,966,217,445,148,973,505,872,120,149,002,539,111,633,412,331,974,741,403,
321,083,982,804,557,937,224,598,624,857,981,139,699,813,874,960,861,493,252,
831,705,584,587,651,655,851,859,908,206,399,370,273,753,733,195,958,314,368,
442,959,609,960,627,247,296,358,045,340,288,393,610,444,388,486,651,576,823,
191,021,477,319,468,926,828,879,184,438,655,539,536,411,281,790,051,566,644,
865,853,458,610,689,300,058,141,559,797,542,091,481,318,121,164,941,072,178,
571,550,983,844,168,999,065,006,333,394,620,141,116,110,390,165,836,753,477,
646,732,720,919,151,723,713,025,033,210,213,052,415,332,151,602,085,811,719,
759,765,283,229,466,574,043,704,269,557,271,052,750,532,779,106,478,138,766,
286,613,097,376,606,119,632,683,402,458,980,147,562,987,764,442,838,474,248,
454,548,372,840,182,480,581,987,012,648,582,465,164,168,668,350,053,910,400,
621,397,431,621,256,880,121,277,291,235,871,154,605,385,234,744,500,693,132,
787,164,634,014,883,533,859,133,158,610,712,842,522,343,514,559,469,415,765,
154,774,490,811,678,012,037,290,652,060,656,626,411,393,825,480,195,046,748,
569,993,132,254,476,965,085,897,203,617,582,761,910,918,195,795,472,650,672,
846,192,075,919,565,197,572,921,515,446,195,112,781,808,419,126,327,638,228,
045,024,790,970,279,703,553,959,787,457,711,038,273,416,639,729,880,386,289,
613,077,761,008,307,750,791,334,949,591,721,555,174,339,072,356,924,534,215,
011,004,819,595,039,019,967,196,186,508,426,501,768,055,667,658,829,514,938,
813,708,970,236,549,287,459,344,991,868,244,417,129,005,866,226,363,516,432,
303,639,989,639,194,042,860,862,211,773,972,885,372,836,568,959,847,857,390,
342,665,942,245,563,170,378,797,914,069,651,467,862,384,216,486,618,286,823,
564,789,818,963,566,029,316,472,558,864,177,914,532,911,956,209,310,881,043,
346,928,236,390,220,731,594,315,315,716,645,381,689,441,053,560,775,165,985,
937,462,196,687,078,803,780,832,135,966,974,137,487,681,641,621,585,102,655,
085,222,282,851,047,283,706,835,417,995,692,173,256,095,164,431,792,607,950,
718,233,325,700,187,844,506,720,683,119,151,085,818,665,424,908,497,985,677,
277,038,976,610,773,132,697,471,573,677,762,207,782,027,882,883,835,008,804,
408,525,716,073,313,562,524,429,037,997,810,226,371,094,315,018,516,811,848,
076,905,513,572,943,016,525,685,897,182,873,442,601,979,469,479,232,968,464,
155,909,851,606,671,093,368,162,072,085,501,873,677,851,700,462,415,666,071,
424,228,099,419,537,962,996,724,794,695,481,954,565,829,141,568,009,164,186,
366,118,781,286,909,250,057,888,285,941,074,067,231,132,433,286,793,854,653,
463,017,608,952,201,819,273,523,265,584,732,235,415,290,189,222,461,712,149,
844,302,868,124,126,225,497,910,341,020,015,098,690,177,887,551,668,393,241,
184,693,997,205,491,361,473,497,553,661,213,895,799,954,875,753,961,976,753,
840,202,513,302,375,246,231,478,351,418,521,227,091,557,780,856,973,851,594,
225,442,607,682,116,429,546,850,145,877,956,763,565,227,164,884,634,055,290,
595,573,955,588,176,260,088,914,629,578,358,738,281,788,097,320,133,738,009,
806,369,953,510,438,845,949,558,733,476,388,318,387,106,722,555,289,778,845,
245,075,926,871,658,822,331,347,475,674,072,030,111,400,659,171,989,482,923,
381,438,018,933,430,933,426,479,402,140,689,357,622,093,552,422,734,844,973,
581,775,771,401,290,878,216,981,982,663,442,188,715,917,396,386,750,732,608,
374,039,814,264,862,461,847,497,741,175,760,315,980,740,849,647,439,065,721,
644,333,341,123,519,963,156,669,317,040,847,122,655,818,283,421,234,969,318,
540,359,830,828,304,693,997,588,121,091,229,573,733,010,632,512,950,042,242,
745,230,777,483,385,305,127,266,844,847,784,422,972,393,121,988,801,984,717,
100,601,817,488,143,081,417,248,754,048,479,755,874,086,802,058,535,795,118,
821,168,043,689,363,858,820,334,412,598,759,591,459,307,724,622,373,914,647,
164,448,647,153,722,827,242,573,144,677,957,266,024,493,310,700,345,806,653,
048,470,510,773,466,009,338,040,320,972,229,506,373,098,134,368,370,169,025,
368,249,778,322,124,527,316,463,573,421,078,815,969,747,730,195,137,162,204,
472,966,616,228,106,408,022,476,175,115,802,776,672,024,103,552,644,711,763,
714,079,084,573,285,064,784,925,412,124,515,394,358,217,513,589,768,440,120,
869,306,885,475,511,341,237,105,528,686,234,752,506,937,906,728,865,002,335,
771,568,911,167,359,095,787,676,422,824,522,527,654,801,807,245,773,477,842,
889,679,337,151,647,209,539,510,971,509,654,875,274,888,556,944,310,896,879,
410,949,487,217,163,674,216,481,231,458,599,481,492,454,186,478,252,193,994,
216,408,069,881,827,744,728,364,502,044,064,468,538,121,330,003,319,035,353,
698,215,260,927,125,514,974,569,707,442,729,768,749,186,266,838,036,914,400,
301,337,969,868,703,380,448,593,827,417,090,899,236,053,421,854,354,414,340,
334,539,631,608,885,126,531,444,205,873,811,487,780,736,872,028,846,079,092,
003,431,656,128,752,409,313,463,063,064,017,312,113,114,416,279,564,097,703,
669,879,356,474,814,094,838,780,466,480,135,994,459,151,852,499,839,057,430,
173,395,790,704,460,162,746,268,989,347,609,501,446,330,818,100,320,904,199,
103,656,741,284,189,365,538,897,626,402,460,544,227,952,393,343,652,786,986,
881,608,497,882,164,679,027,528,470,942,687,108,464,150,501,829,771,222,624,
605,530,067,479,723,349,381,688,757,548,898,905,850,459,711,240,848,661,620,
802,882,753,715,867,002,006,483,736,557,050,857,662,578,407,065,140,814,390,
480,775,664,829,099,034,616,209,720,050,229,475,454,299,229,995,708,512,452,
852,060,297,884,613,373,057,394,339,067,878,905,043,088,023,654,781,495,301,
648,966,156,665,111,735,996,416,037,631,226,184,917,852,710,603,466,844,932,
421,408,076,892,829,843,665,637,332,928,357,422,010,242,907,322,344,988,744,
062,848,850,074,782,251,249,926,762,989,486,855,706,608,823,661,671,579,476,
969,046,688,429,795,149,367,001,713,924,137,754,587,348,579,022,302,518,393,
188,082,595,898,835,559,377,149,677,173,654,721,023,124,153,407,550,675,902,
462,153,115,649,439,384,179,745,050,634,253,004,093,301,305,411,280,434,799,
588,645,860,298,041,929,111,034,821,286,417,397,717,034,270,751,459,532,363,
986,690,943,438,428,094,187,110,468,242,514,153,955,760,463,570,552,807,712,
356,616,188,005,667,650,575,870,002,525,191,562,003,092,022,408,495,337,773,
898,470,221,015,323,921,802,195,902,888,349,083,016,927,693,858,376,900,968,
448,145,014,383,532,375,772,130,461,220,045,730,050,822,828,536,274,615,927,
439,668,653,698,779,800,720,850,321,070,551,178,961,148,748,566,412,019,896,
825,202,996,674,667,061,506,883,664,848,663,573,091,199,541,645,705,709,843,
416,421,325,700,503,543,006,909,063,700,007,826,563,871,139,744,397,201,326,
258,262,707,523,129,338,544,323,187,146,690,397,980,345,213,670,774,380,889,
497,993,301,098,242,754,635,840,804,258,651,495,347,107,630,561,915,966,653,
063,127,559,267,179,351,692,148,802,003,979,949,412,529,116,606,854,123,917,
202,926,825,838,457,088,583,653,547,407,577,289,133,144,270,761,672,584,084,
473,744,525,415,302,539,628,100,606,596,344,341,193,483,720,935,207,306,336,
524,910,287,214,524,099,907,201,003,872,282,234,081,364,122,492,467,282,083,
995,241,472,076,181,343,218,389,711,200,886,053,058,800,080,404,953,330,043,
443,102,590,688,487,281,207,169,703,619,752,328,225,690,998,488,331,371,120,
310,378,380,282,554,365,385,403,031,093,713,529,541,664,467,440,793,553,272,
749,082,401,099,313,944,474,021,761,107,275,660,170,291,426,840,613,594,183,
399,499,841,340,764,562,447,392,059,214,322,417,626,350,261,114,108,920,756,
189,828,945,208,421,951,010,945,142,333,263,400,060,038,125,033,033,652,054,
549,790,366,612,956,001,625,340,519,016,979,663,729,459,506,795,467,382,598,
161,029,682,504,667,519,645,080,184,050,754,728,873,748,964,337,986,204,741,
604,443,094,810,378,384,332,419,979,342,569,818,422,089,205,127,911,114,562,
188,594,561,599,903,708,413,678,555,277,467,700,239,724,302,429,022,265,824,
482,180,361,959,391,547,520,625,857,181,900,904,611,465,620,487,420,122,393,
445,242,563,853,895,807,088,342,203,030,281,584,087,495,604,146,115,164,121,
355,896,337,875,958,383,746,583,750,769,332,866,865,228,339,673,616,492,571,
687,627,730,081,426,783,773,916,493,069,087,828,646,303,066,262,826,916,992,
830,789,308,990,665,827,124,443,778,627,755,457,949,356,531,565,764,133,901,
160,130,591,500,248,797,333,108,728,604,687,801,890,242,399,688,792,486,233,
902,413,420,994,884,785,909,469,280,538,679,408,113,203,780,451,376,838,253,
641,760,710,060,576,111,346,974,736,020,390,995,109,972,751,592,377,337,682,
137,565,001,667,037,372,161,762,394,968,688,014,372,973,286,565,405,194,560,
429,492,337,743,701,928,097,164,069,073,349,948,675,523,630,443,020,782,611,
894,923,217,419,744,380,710,710,524,106,030,992,769,410,949,182,666,371,183,
233,235,114,070,614,065,670,325,934,330,553,612,384,996,743,004,021,840,442,
123,185,547,440,592,927,051,175,838,548,115,385,675,724,269,978,778,970,811,
865,610,907,986,320,925,787,818,551,188,225,739,943,787,920,379,888,815,915,
279,300,819,755,679,960,189,570,068,009,221,121,477,297,617,572,987,909,861,
605,925,214,470,843,616,930,640,548,628,796,172,674,309,092,173,390,781,090,
356,323,977,286,204,504,436,765,466,523,009,971,732,330,952,422,128,261,176,
173,038,574,948,409,178,685,222,577,274,026,984,753,554,369,657,165,164,862,
455,611,586,343,061,227,239,482,999,298,753,753,024,765,301,851,470,125,869,
284,630,449,833,515,388,404,318,725,328,003,624,009,279,149,053,439,549,509,
168,521,990,556,732,634,361,576,046,003,925,113,332,369,059,264,357,351,742,
591,596,217,351,978,671,135,234,837,052,551,716,033,635,325,497,286,981,028,
701,646,292,983,120,721,364,459,355,208,912,118,931,827,420,340,158,490,544,
844,342,336,819,114,749,569,860,687,744,687,698,155,033,530,668,746,625,332,
500,826,088,274,041,078,018,131,494,069,967,248,581,896,445,072,779,276,110,
637,278,147,590,348,433,589,582,674,455,600,317,010,357,743,193,770,818,606,
418,998,619,122,544,233,399,430,061,592,536,353,952,604,743,153,224,052,230,
856,046,099,688,622,719,744,160,664,773,093,529,325,439,101,137,967,974,760,
692,918,233,941,359,698,762,832,518,780,727,651,655,216,779,002,522,875,504,
104,166,442,976,793,796,618,590,553,394,424,250,350,473,757,525,625,237,217,
190,790,308,427,149,551,174,384,823,102,128,763,018,851,718,353,350,059,917,
818,052,746,943,344,825,284,572,090,861,936,872,816,253,057,862,199,178,035,
834,950,251,172,475,736,617,066,370,685,078,332,724,622,804,124,806,972,638,
664,794,390,680,816,648,688,737,167,408,761,017,000,567,692,055,590,138,258,
346,368,231,349,199,162,111,294,486,767,312,460,169,280,082,055,305,959,073,
945,732,926,574,750,756,047,178,172,928,930,040,247,923,949,983,624,354,847,
686,909,170,539,547,597,533,161,433,488,465,610,313,690,674,200,580,932,636,
697,278,898,860,069,322,852,032,740,771,510,964,553,970,878,625,677,754,777,
099,923,301,738,084,716,922,760,520,792,231,761,523,560,199,779,691,013,618,
030,149,973,576,362,518,935,406,382,165,959,243,893,217,317,113,451,590,798,
601,523,496,649,864,378,700,930,617,651,305,155,354,711,663,262,800,092,542,
910,232,937,909,442,689,916,167,659,228,121,387,737,774,800,894,907,022,670,
813,092,277,376,388,148,809,982,921,096,940,677,235,362,162,897,621,276,014,
720,012,682,231,515,010,886,658,436,811,887,076,818,687,428,388,136,731,753,
036,680,008,234,664,051,334,835,411,741,081,001,456,788,164,111,284,450,428,
603,029,300,973,004,835,454,673,952,738,083,202,003,020,835,015,999,954,300,
731,660,724,156,895,670,543,369,896,562,466,452,572,097,817,609,375,199,227,
075,240,392,333,715,375,345,569,229,021,011,595,399,793,967,224,494,169,660,
414,544,083,917,919,071,195,938,255,883,900,288,690,724,960,652,433,964,081,
128,221,962,011,150,321,785,425,482,392,499,579,625,086,050,503,472,224,476,
446,313,140,326,937,006,886,369,383,152,742,436,774,663,049,747,356,781,615,
729,002,544,970,542,851,588,257,701,503,918,705,461,819,316,629,516,713,876,
686,077,816,742,925,439,850,805,271,789,597,253,569,086,552,415,847,470,153,
644,703,919,909,694,951,072,820,217,136,368,125,180,670,994,996,253,598,621,
656,935,940,296,093,089,819,956,569,140,498,037,184,212,520,631,681,412,788,
091,319,406,331,980,984,070,197,630,883,304,627,109,160,559,273,085,786,225,
902,503,686,843,429,042,310,434,802,814,222,994,029,703,993,377,976,849,232,
718,119,405,807,297,331,126,841,968,944,657,441,093,807,891,459,130,347,692,
329,520,732,214,961,511,133,639,101,441,990,496,368,810,601,117,933,256,116,
466,264,713,932,434,972,605,291,480,621,430,062,394,698,819,235,151,439,957,
078,733,736,352,264,281,242,289,830,826,219,561,714,553,695,928,738,624,098,
167,853,454,584,875,729,997,941,639,502,894,866,221,288,958,378,646,792,997,
374,518,665,755,272,871,940,556,925,167,636,942,123,891,327,186,617,834,741,
887,055,106,843,932,977,569,256,463,475,773,308,948,675,674,348,470,217,902,
660,747,475,682,984,261,753,444,829,462,140,185,208,910,126,274,618,554,638,
371,753,407,054,838,446,950,569,346,706,276,951,317,887,243,141,578,542,344,
348,433,631,424,921,453,336,899,044,292,746,085,176,874,574,019,362,431,218,
685,544,663,160,490,078,743,939,643,744,353,134,607,370,823,589,529,595,993,
830,170,215,067,299,531,418,511,780,234,380,885,132,007,753,515,394,891,836,
133,076,241,508,716,878,436,203,398,214,563,383,573,987,941,938,704,588,237,
882,508,339,747,768,423,570,008,021,617,960,235,184,298,775,808,741,411,922,
783,069,093,305,806,368,743,730,543,547,375,513,196,162,636,502,962,769,855,
679,452,554,880,381,455,409,754,824,551,413,308,052,176,429,197,764,357,746,
461,623,241,865,575,528,740,081,881,954,784,647,583,580,020,921,136,433,850,
250,040,344,373,693,081,528,983,622,409,499,616,455,656,219,773,131,143,682,
199,291,970,512,610,042,286,485,893,958,220,056,970,392,464,104,077,499,776,
411,407,964,086,668,157,325,503,248,424,362,705,805,118,310,278,222,933,832,
282,990,526,551,146,838,969,123,202,206,935,871,680,510,027,242,314,778,569,
631,493,525,904,995,217,666,349,987,200,599,672,866,675,241,240,459,325,614,
846,375,727,669,516,222,945,727,932,402,525,483,230,890,005,298,745,086,329,
510,754,760,841,752,687,729,200,862,623,020,709,009,677,915,746,308,522,132,
390,626,518,082,587,681,491,877,822,733,789,945,952,719,946,996,933,101,990,
847,571,977,070,413,473,342,702,950,844,588,498,469,300,409,598,814,696,095,
160,616,894,019,693,583,795,232,658,728,360,102,909,152,643,058,782,599,143,
738,351,715,552,556,902,846,678,078,131,813,778,348,457,604,752,649,682,988,
936,255,609,352,393,213,863,279,940,436,924,904,032,245,293,388,468,868,111,
332,172,360,833,413,809,564,103,596,277,676,571,773,621,919,539,449,354,552,
342,060,162,076,061,918,209,185,844,768,884,634,541,387,771,410,212,904,021,
416,182,811,469,271,737,588,943,904,514,011,647,243,962,813,867,397,532,387,
759,161,267,701,926,209,671,495,496,895,024,209,069,001,313,627,109,974,270,
914,059,425,885,163,508,156,135,640,041,291,045,097,997,747,046,556,609,042,
107,487,588,600,176,119,497,396,653,669,630,473,998,675,988,985,878,463,218,
861,723,993,715,231,060,490,275,922,962,049,700,283,947,492,008,796,269,693,
378,983,588,891,239,831,744,760,553,205,677,916,667,947,545,219,486,358,964,
136,957,946,436,668,239,544,581,223,127,320,775,720,401,098,946,525,789,902,
646,514,166,982,439,367,525,367,966,550,330,296,624,663,325,321,150,739,334,
993,645,106,805,531,348,963,445,611,053,543,377,312,358,474,466,307,658,899,
928,606,437,640,737,215,999,145,053,215,011,865,478,492,741,386,163,311,610,
513,454,133,092,165,286,259,576,165,254,900,433,696,928,647,687,809,129,246,
270,855,926,464,464,251,831,420,871,830,117,603,812,201,944,644,321,689,659,
355,535,720,516,455,638,347,859,845,695,688,979,612,561,799,852,473,305,750,
463,461,701,723,375,626,154,479,136,245,592,864,467,201,424,176,984,378,164,
428,772,420,115,774,857,488,444,680,801,675,075,019,592,391,022,557,920,445,
345,745,374,636,717,057,566,604,333,089,374,630,694,501,968,716,673,928,955,
287,357,609,006,120,945,622,862,260,179,952,744,227,967,005,547,848,104,006,
446,740,777,335,569,632,714,854,643,903,435,650,431,577,089,464,305,732,372,
562,324,915,939,958,053,862,473,832,460,235,436,287,986,801,557,337,531,233,
881,325,774,937,126,404,701,664,318,291,667,302,492,141,412,247,978,055,740,
658,653,899,412,155,209,980,038,962,155,266,491,910,966,855,407,295,862,233,
281,779,542,357,760,690,897,610,426,163,453,705,880,555,768,489,399,844,017,
420,198,727,437,062,060,325,691,181,645,306,982,915,705,648,398,818,804,284,
078,147,587,181,648,612,331,097,394,751,176,634,825,972,043,215,201,529,275,
280,856,274,983,195,156,030,951,524,004,958,496,944,268,935,888,070,864,828,
842,547,650,807,660,387,449,502,674,036,848,005,871,784,565,261,837,001,209,
718,664,968,432,206,616,068,839,434,816,242,106,797,400,065,204,174,202,914,
376,082,262,663,645,421,458,077,238,782,427,546,137,793,519,200,780,107,813,
264,612,432,810,255,755,463,049,620,209,379,541,362,989,351,917,105,099,469,
324,464,363,289,409,097,879,722,949,019,629,951,396,523,208,049,912,746,654,
891,108,746,973,825,249,147,817,656,939,564,525,844,294,161,435,044,692,556,
983,695,013,509,456,934,957,385,314,247,629,364,977,082,559,966,124,836,952,
778,659,601,988,446,962,297,092,644,369,611,680,229,882,453,305,370,361,613,
659,512,113,386,434,878,540,318,418,255,938,156,529,817,188,179,933,429,717,
310,357,016,980,120,745,337,115,691,681,415,505,743,045,235,813,456,075,233,
911,962,186,077,340,975,575,347,906,584,663,964,799,625,303,610,255,783,893,
845,278,077,051,028,285,166,163,616,897,364,739,464,306,519,303,250,598,286,
397,113,612,565,973,336,915,139,576,308,326,004,508,044,844,714,827,917,220,
646,429,858,676,007,258,908,274,258,941,335,173,937,915,161,341,348,371,571,
905,886,328,664,604,660,880,765,170,542,603,375,441,660,941,857,640,498,157,
329,279,231,521,840,988,677,975,168,362,805,940,552,714,048,091,959,973,760,
774,782,483,519,119,992,304,530,021,526,535,154,145,126,669,707,164,911,156,
940,488,155,997,782,355,448,506,245,145,318,042,988,852,103,034,452,063,080,
929,767,242,323,975,548,474,333,217,167,813,342,533,230,040,032,981,757,673,
083,365,602,031,189,570,498,027,561,282,242,774,028,610,241,187,713,442,292,
000,770,174,002,949,492,688,388,893,661,330,340,911,159,270,626,031,284,289,
010,139,802,090,442,463,784,987,737,490,533,716,373,535,602,354,790,264,192,
937,620,810,930,760,087,648,202,088,428,817,102,400,637,104,725,573,347,149,
812,532,873,268,284,613,184,332,060,782,653,181,209,769,527,734,056,629,232,
109,100,472,497,907,005,884,099,746,232,627,298,593,895,296,698,039,703,836,
244,992,313,233,748,541,620,477,537,846,159,173,457,333,032,035,357,098,302,
378,832,269,314,905,238,730,562,980,861,861,660,098,048,384,700,783,468,169,
835,843,869,222,642,390,812,726,207,036,573,420,941,460,380,914,616,440,665,
788,339,485,006,199,357,474,410,673,433,799,017,021,308,615,256,027,614,022,
031,777,931,679,135,404,910,787,290,619,984,916,423,720,233,596,550,760,368,
066,651,599,535,205,445,573,445,668,332,729,486,473,113,654,278,917,336,712,
226,322,764,424,252,768,845,212,233,994,862,100,423,338,581,527,391,204,725,
551,206,609,226,083,337,657,246,699,619,058,284,554,624,678,599,531,518,759,
956,394,047,535,736,873,427,079,108,808,138,351,249,855,843,995,158,064,130,
548,839,022,445,417,103,882,166,811,804,166,986,517,621,654,163,267,948,694,
402,499,379,005,746,101,318,718,001,140,465,551,361,628,811,778,556,038,489,
089,593,460,158,145,740,385,438,955,811,252,196,565,020,494,242,962,929,406,
400,705,719,025,283,824,666,756,136,141,524,186,738,238,203,067,809,928,142,
197,893,678,766,188,811,759,737,723,750,135,559,487,786,478,330,980,245,578,
033,708,789,001,718,816,005,293,057,018,934,947,679,129,620,098,647,464,934,
571,163,583,884,205,069,243,611,998,201,910,110,851,178,801,334,140,669,633,
065,418,300,736,425,928,041,418,640,005,013,616,300,602,771,842,692,350,146,
836,959,567,316,009,803,770,539,041,787,724,882,346,220,237,033,870,395,367,
841,169,118,961,005,194,061,578,518,708,639,268,312,173,032,274,289,752,220,
537,457,538,465,902,074,193,424,000,832,167,692,825,583,730,948,055,320,172,
119,402,786,588,707,219,845,387,250,852,713,805,961,311,486,293,660,329,294,
717,911,613,551,277,562,264,626,002,082,812,397,794,948,082,848,382,698,460,
766,342,778,502,774,059,246,717,682,344,628,867,492,709,778,248,167,671,268,
321,416,843,130,717,308,259,827,073,970,576,093,448,349,556,119,519,085,875,
490,647,483,952,430,697,276,606,594,192,341,565,642,866,986,410,023,799,479,
089,645,421,132,068,522,132,898,202,483,259,616,221,838,535,125,352,472,170,
600,672,775,282,999,402,940,446,172,373,658,789,997,225,368,654,037,560,965,
711,250,488,651,255,227,288,351,638,962,440,723,063,172,344,374,876,477,222,
651,450,676,156,303,192,721,426,282,681,729,452,998,927,389,059,704,618,123,
903,876,433,421,395,714,821,650,642,184,868,804,909,715,674,436,178,864,210,
569,149,505,657,590,454,513,481,557,985,548,909,204,502,976,571,995,031,348,
081,984,594,974,988,573,295,172,477,239,891,072,993,338,781,188,617,180,514,
509,437,820,896,016,245,465,459,025,093,891,065,661,447,248,303,715,493,223,
841,775,943,333,700,923,886,574,686,931,984,330,405,369,366,071,064,420,164,
651,297,660,606,635,658,908,712,531,688,159,048,185,912,913,709,130,737,966,
016,728,141,839,722,074,828,734,109,918,063,203,369,006,013,984,146,610,920,
987,944,621,985,378,410,430,769,978,133,832,766,845,153,175,190,028,929,219,
760,085,890,514,367,307,415,037,508,966,416,433,337,829,711,588,910,672,735,
301,585,894,480,131,605,641,307,581,728,605,112,572,960,610,155,364,843,925,
204,721,009,628,785,743,899,978,582,195,558,812,372,740,136,871,648,622,770,
528,864,490,583,362,601,883,669,315,514,880,974,907,812,392,846,710,229,503,
574,639,679,415,288,647,755,167,219,040,882,750,366,288,136,143,844,375,285,
818,105,913,183,359,043,538,518,581,081,045,128,041,674,325,642,199,996,343,
977,438,614,055,508,525,332,526,368,341,975,161,593,000,273,798,566,669,717,
942,255,735,557,897,841,621,615,705,039,388,208,969,095,596,027,605,476,202,
835,526,494,767,518,320,669,435,119,493,471,686,756,661,749,358,040,615,625,
910,732,035,119,947,137,495,851,488,915,412,403,973,880,482,154,864,818,588,
134,181,360,654,447,342,224,665,243,385,717,859,050,183,034,888,054,652,566,
636,433,955,613,830,585,958,413,027,172,045,351,723,665,859,099,112,286,660,
133,347,421,747,667,584,900,633,383,413,160,690,927,350,293,429,186,780,931,
910,806,304,539,432,799,127,560,117,467,532,397,812,310,179,217,650,739,879,
954,018,488,051,153,050,113,539,122,741,843,119,294,332,191,150,316,990,956,
231,558,557,806,358,050,893,553,355,974,595,255,373,269,154,976,299,329,554,
504,886,209,400,837,752,615,920,303,420,587,587,119,375,921,406,341,967,943,
466,965,998,953,017,935,121,674,958,675,199,646,885,097,157,873,190,755,537,
701,644,931,720,958,192,478,762,320,576,343,325,635,618,555,116,282,772,662,
800,870,322,577,045,485,742,406,060,612,300,476,590,791,972,118,036,376,063,
420,440,396,371,295,863,229,871,505,057,762,394,282,514,294,819,609,853,716,
133,237,558,370,188,858,835,888,696,162,311,734,981,809,687,931,333,972,894,
497,151,704,443,859,641,328,503,143,731,236,416,392,908,142,589,536,524,265,
788,782,084,218,335,185,689,503,432,703,758,366,479,666,414,945,885,500,186,
064,545,424,484,713,417,523,573,412,951,326,213,132,123,702,109,576,114,693,
908,562,238,649,483,374,891,200,045,110,305,824,833,122,966,056,328,803,799,
058,077,090,186,786,425,871,233,398,339,056,687,937,202,380,159,779,597,127,
201,548,978,880,246,088,941,198,254,225,677,829,587,747,213,422,679,725,547,
087,287,669,532,424,205,836,450,663,079,450,337,377,776,783,667,450,992,904,
548,541,137,850,562,516,183,264,413,943,080,136,751,815,678,342,781,457,672,
211,275,237,121,473,095,691,116,013,560,249,716,103,473,368,399,700,914,484,
388,864,931,489,318,780,794,344,661,167,570,067,693,071,310,059,770,485,156,
497,143,769,515,501,715,209,749,743,098,023,935,025,571,111,005,157,925,956,
296,182,883,364,419,488,323,818,553,330,264,917,510,097,691,212,927,714,800,
862,393,703,208,289,705,003,817,869,773,823,920,993,155,806,578,266,914,636,
357,436,191,037,972,978,508,544,586,536,002,047,719,041,286,774,627,025,906,
772,866,628,194,459,439,812,347,838,761,668,513,451,920,981,425,593,509,876,
958,357,707,924,049,594,840,608,301,409,153,667,141,659,837,682,004,871,419,
280,732,583,224,484,286,136,361,900,014,568,775,685,096,067,331,289,440,107,
040,091,845,159,495,470,905,404,163,283,341,099,565,908,304,840,661,252,104,
781,129,612,823,697,056,329,052,072,877,159,675,507,050,963,493,513,272,254,
974,164,772,860,410,577,814,250,659,475,613,964,292,359,767,332,169,195,128,
805,602,083,384,853,665,269,700,312,179,431,118,670,658,091,736,613,800,198,
488,504,381,130,229,850,067,095,405,740,780,552,068,644,704,594,994,756,284,
574,662,124,842,441,281,733,378,004,898,039,196,633,337,954,205,820,398,493,
221,814,323,628,293,362,117,442,864,385,041,947,417,258,719,107,335,261,527,
218,219,812,194,878,201,689,593,959,136,240,937,152,781,984,471,521,189,649,
245,373,113,328,656,410,513,608,721,407,212,254,642,485,151,877,609,463,323,
032,313,783,630,813,687,270,384,206,211,596,652,933,163,680,109,060,871,793,
520,195,230,916,874,458,531,795,655,832,010,123,989,388,389,176,072,684,649,
002,062,541,505,349,914,462,853,881,906,332,578,859,409,284,950,556,767,086,
188,394,743,580,130,154,863,739,998,326,031,774,062,169,265,495,170,461,463,
741,673,085,788,909,382,295,076,634,911,267,559,142,808,042,482,681,672,113,
314,217,307,211,398,785,746,126,535,726,590,695,596,239,659,105,873,135,073,
069,587,079,260,247,853,271,893,514,592,079,008,197,237,846,559,134,423,949,
756,064,571,152,364,017,039,686,492,211,010,413,029,328,716,682,920,597,340,
143,345,337,402,502,031,863,519,068,525,962,572,748,482,350,779,443,331,163,
880,143,970,905,960,418,500,053,684,817,057,460,737,328,935,480,543,043,012,
196,507,470,990,361,872,649,285,217,304,939,168,666,793,617,463,882,931,224,
328,107,145,797,717,090,545,395,333,285,006,465,394,722,199,936,798,382,808,
541,071,622,942,103,592,597,866,888,531,636,066,268,701,888,762,993,273,230,
675,366,714,253,133,886,170,839,186,462,461,642,950,188,837,267,198,330,984,
264,143,715,437,767,988,030,089,679,148,585,310,061,014,268,518,497,669,935,
107,289,526,325,181,865,158,336,588,832,533,226,409,353,972,967,253,531,909,
644,194,869,603,904,830,784,431,047,272,971,375,428,491,625,012,537,059,468,
545,807,456,748,304,871,360,659,960,801,269,013,471,028,236,557,841,875,093,
484,004,248,207,521,645,966,047,315,245,064,280,390,394,019,233,167,426,747,
820,597,144,125,940,276,833,526,385,019,785,058,235,088,525,880,080,414,677,
151,490,144,924,516,113,530,806,648,529,421,339,001,252,650,974,974,905,844,
740,956,460,797,818,260,299,012,939,936,080,912,755,693,745,780,661,938,355,
160,053,202,297,744,533,041,915,650,418,774,673,628,696,960,791,803,850,974,
420,142,983,216,346,641,898,421,399,225,265,980,418,645,852,361,191,398,464,
974,247,003,854,975,954,891,147,595,043,793,581,909,453,775,084,515,956,214,
601,742,805,243,037,103,345,145,529,270,404,482,608,537,726,267,445,849,463,
829,801,654,915,740,952,654,114,043,376,838,192,254,751,676,350,631,871,043,
648,459,424,976,052,800,815,180,404,870,817,712,326,828,754,646,765,536,740,
095,514,905,992,893,792,846,352,536,498,414,650,063,492,815,894,287,453,047,
999,945,953,036,883,664,853,595,767,809,439,644,848,722,365,550,001,196,760,
537,507,451,227,422,035,494,223,805,232,282,977,398,729,820,802,735,889,551,
378,074,636,224,250,006,789,089,510,239,296,792,912,389,633,441,203,571,807,
762,348,003,812,130,016,622,592,358,075,453,750,793,890,683,235,889,109,749,
604,953,906,850,182,014,888,873,207,848,812,327,012,317,296,979,276,497,563,
025,420,477,898,582,228,516,571,526,110,954,352,342,867,801,109,887,136,237,
855,438,862,360,719,514,267,886,489,495,935,587,340,939,369,879,098,697,276,
557,117,838,308,106,709,668,512,653,988,690,737,198,326,273,617,571,512,164,
800,376,520,176,948,863,578,111,843,670,236,240,052,590,271,346,316,703,968,
069,331,443,993,217,769,977,056,991,604,804,861,337,041,630,557,209,158,141,
684,248,857,051,213,620,803,687,621,710,476,244,674,673,465,413,815,842,536,
136,537,842,232,732,549,828,652,098,938,118,391,132,102,309,755,669,984,638,
707,426,172,086,833,563,337,435,529,447,869,488,894,041,249,533,409,789,564,
501,382,079,437,363,741,205,302,362,396,656,770,402,940,759,255,275,018,700,
466,175,126,378,747,199,434,691,271,991,203,212,788,247,825,611,711,222,645,
855,684,936,123,356,978,381,939,401,494,660,378,385,178,391,026,281,823,649,
092,572,684,174,399,109,659,764,566,169,565,912,438,262,022,112,940,893,784,
905,746,260,774,058,609,029,289,091,593,631,776,673,994,567,546,025,576,259,
350,837,521,616,102,839,910,994,411,880,149,878,852,740,517,127,879,135,213,
183,309,938,072,491,597,715,318,429,683,583,056,151,760,966,951,051,339,827,
904,051,050,814,941,179,325,367,157,720,471,179,291,311,311,331,094,057,858,
864,783,910,160,100,824,818,155,871,073,757,394,489,537,065,695,973,534,422,
687,933,017,508,480,624,011,409,747,040,949,862,687,927,029,420,968,920,294,
573,808,810,480,629,000,312,251,693,933,802,546,535,503,632,629,914,416,048,
486,102,555,584,077,438,011,061,837,710,812,018,891,390,650,167,321,415,026,
378,069,119,248,563,323,311,717,572,576,420,122,617,185,744,633,997,112,253,
646,917,016,515,463,925,091,423,174,024,119,676,799,548,883,536,469,485,315,
233,024,845,717,069,067,044,108,342,628,784,994,979,899,403,717,699,215,323,
620,513,161,109,962,289,087,393,603,116,584,165,877,222,712,770,190,424,118,
731,500,185,998,828,652,750,125,471,205,916,743,771,303,308,826,179,994,349,
442,831,834,365,739,667,722,626,957,791,147,361,280,258,808,790,232,544,022,
843,631,346,733,445,903,839,841,117,896,408,173,663,419,925,949,487,753,479,
354,813,792,840,110,328,977,724,549,683,718,887,370,325,273,080,806,895,135,
745,287,258,543,014,349,426,776,954,702,888,739,040,667,265,863,263,373,469,
883,650,804,572,048,600,045,466,922,557,181,641,862,767,779,037,865,436,609,
489,740,200,397,507,523,894,026,376,849,517,907,481,444,231,755,086,035,236,
288,062,800,909,769,346,062,236,859,849,963,751,980,882,725,912,220,392,833,
079,017,440,912,217,885,889,988,485,870,346,007,025,848,364,416,516,483,128,
439,729,131,052,643,065,398,284,399,573,004,001,589,205,582,013,801,237,099,
946,301,074,015,886,397,578,290,412,039,768,656,596,451,443,899,258,287,806,
342,384,474,814,518,011,178,197,437,352,853,618,273,075,324,884,289,890,196,
334,534,000,541,461,120,207,737,557,197,391,950,414,686,072,393,690,054,643,
259,554,339,074,525,967,791,900,221,643,972,601,473,203,743,531,368,184,505,
916,586,887,049,639,757,994,271,763,077,104,702,862,044,907,889,036,337,964,
825,286,938,280,334,960,687,117,935,543,617,710,315,206,288,008,556,428,289,
936,755,709,347,285,710,225,950,872,055,743,460,119,429,158,313,602,322,457,
925,850,707,408,713,806,517,109,558,550,610,453,954,739,473,113,472,917,360,
956,847,105,187,101,096,476,058,229,595,616,138,748,900,108,605,144,542,620,
349,170,534,871,446,145,106,074,784,554,810,825,901,118,544,218,101,958,910,
780,013,836,332,509,023,198,076,910,600,440,208,506,307,572,816,332,750,217,
603,897,013,763,226,839,206,868,495,803,134,796,487,637,236,677,783,007,915,
022,541,872,738,805,840,845,296,421,377,921,445,409,331,237,026,832,549,994,
742,323,022,045,587,659,325,451,794,810,316,428,545,941,668,499,851,533,959,
902,025,136,411,920,122,795,543,705,262,541,527,305,668,512,074,169,725,833,
988,053,366,582,391,845,743,371,301,506,474,545,587,175,676,994,116,670,047,
697,784,832,793,178,687,579,330,390,653,182,864,935,888,105,057,513,163,476,
847,879,475,762,396,989,230,015,745,498,953,849,709,981,843,776,388,167,610,
006,974,796,908,042,429,840,181,457,011,588,223,443,826,071,615,705,029,471,
448,580,641,518,511,901,279,334,191,118,285,220,703,988,722,494,863,484,171,
859,908,713,267,020,717,172,062,807,570,968,589,509,130,317,226,373,613,602,
813,369,674,509,779,623,539,148,619,545,035,441,786,552,258,076,083,685,352,
587,073,498,055,992,449,526,101,925,316,763,971,648,606,288,267,070,871,894,
029,605,519,049,459,273,263,236,694,414,704,982,671,121,386,561,514,059,518,
316,494,781,025,627,620,818,958,479,406,006,400,745,308,306,798,667,676,742,
320,043,538,849,715,141,436,973,329,123,479,875,651,998,801,544,665,132,527,
547,935,086,360,198,427,484,252,926,439,883,288,000,362,599,755,432,487,405,
288,476,324,356,049,614,989,084,224,496,640,446,371,898,517,815,409,896,375,
265,724,839,686,271,407,169,873,315,097,136,596,779,132,476,874,032,286,810,
177,356,052,253,456,444,334,566,553,741,723,311,242,226,045,999,257,637,176,
255,496,104,181,227,174,267,839,959,022,394,626,821,565,471,349,636,288,873,
952,442,263,851,469,050,436,679,640,310,859,068,393,121,363,144,240,428,591,
640,669,501,229,922,922,737,791,937,767,907,357,600,080,198,417,679,285,225,
805,459,875,614,266,988,665,778,640,960,537,554,959,047,074,453,103,981,072,
806,511,945,697,490,319,839,019,337,755,599,835,511,398,585,617,441,006,253,
160,992,340,793,922,270,434,789,738,732,592,677,035,370,347,402,527,009,631,
837,991,915,036,032,086,953,786,617,283,446,300,904,525,917,626,507,166,429,
947,370,448,963,469,256,017,981,984,178,346,560,713,325,197,415,803,325,990,
341,688,096,067,727,086,980,955,000,601,552,233,992,249,510,361,701,251,660,
234,450,071,315,879,031,512,873,835,644,422,003,294,157,985,015,801,543,732,
084,911,946,586,404,458,403,030,702,967,390,128,988,353,611,316,006,359,995,
527,126,992,583,172,450,824,900,692,874,392,231,093,502,638,102,638,098,108,
142,085,663,671,722,141,184,848,888,085,407,358,194,101,370,810,281,673,016,
124,022,832,094,839,552,443,367,640,282,365,396,049,486,977,757,241,223,176,
167,490,964,678,711,687,764,478,195,550,822,489,598,491,279,485,722,564,979,
817,458,379,480,015,609,723,233,098,853,848,205,529,042,904,689,610,042,523,
376,085,210,440,998,397,105,363,045,211,081,069,856,742,572,677,346,452,656,
515,339,264,216,763,499,064,473,320,322,799,709,516,470,942,392,614,996,685,
764,673,476,735,322,066,701,044,651,295,603,492,569,260,240,052,761,720,172,
450,957,661,214,916,884,593,678,031,481,649,574,035,008,849,283,286,819,244,
811,073,829,007,857,599,895,123,785,013,094,235,187,039,970,936,098,386,035,
906,981,208,881,689,560,647,893,520,084,056,452,345,446,607,241,935,250,667,
788,781,364,037,826,265,930,805,230,407,845,615,429,942,136,158,749,457,120,
752,791,188,064,203,034,330,625,083,180,690,770,935,275,413,350,045,588,476,
611,039,491,807,291,841,255,740,719,399,550,363,964,213,648,978,495,879,752,
607,862,640,900,694,626,074,271,054,865,932,564,686,616,391,876,226,830,822,
637,891,910,252,889,018,440,178,530,429,801,998,099,789,077,735,172,532,405,
695,011,662,519,980,022,835,139,185,147,940,310,230,297,269,806,567,393,430,
328,124,541,304,071,251,426,298,858,189,774,076,810,012,380,036,461,995,448,
916,746,864,883,938,042,736,407,461,945,523,312,072,876,038,309,697,770,157,
971,579,146,044,755,174,075,787,569,943,294,437,381,384,438,027,793,070,584,
267,186,926,973,816,793,063,968,108,196,537,693,074,806,092,014,921,714,258,
786,694,225,304,306,258,792,608,511,238,772,640,887,090,506,305,975,756,668,
276,542,449,213,173,077,532,980,939,247,458,917,072,556,858,614,492,150,141,
048,146,061,700,921,500,741,697,834,574,404,713,049,060,107,403,175,880,650,
710,673,981,630,454,163,313,312,597,498,003,898,178,111,447,228,902,854,527,
718,845,331,497,134,005,736,978,776,232,845,767,199,884,885,048,248,302,940,
245,223,323,430,366,320,074,266,528,668,600,032,508,829,809,547,097,723,496,
230,575,719,881,469,761,749,430,826,800,324,870,861,033,121,997,806,080,881,
776,088,908,517,559,121,849,505,420,350,579,708,408,421,587,091,860,782,135,
959,868,934,751,300,296,474,193,478,861,640,402,690,081,170,315,671,350,140,
966,193,018,294,252,058,972,171,366,230,294,378,366,178,406,862,821,372,331,
025,527,839,510,732,267,112,737,326,452,744,986,938,391,577,903,200,465,802,
853,682,187,537,840,788,171,927,705,270,153,153,923,187,204,745,100,092,911,
340,931,476,959,703,197,771,980,286,607,816,872,671,700,505,662,822,588,083,
601,685,290,281,814,622,375,645,952,971,249,963,881,689,723,274,620,336,259,
064,798,106,462,087,473,392,098,552,304,451,684,645,318,453,666,436,147,478,
585,527,594,279,346,242,863,913,638,323,921,524,227,968,710,673,439,575,056,
057,064,393,030,909,647,017,928,897,961,966,770,170,319,767,371,212,501,184,
685,335,820,925,563,886,247,772,070,877,048,114,357,710,634,221,454,324,571,
664,225,897,598,013,900,531,590,241,494,820,417,248,136,884,821,250,251,872,
052,778,140,225,609,912,042,437,513,171,323,217,987,029,550,157,992,324,155,
735,588,692,209,092,719,312,344,454,026,458,795,006,203,674,781,436,219,295,
942,689,232,785,019,529,948,638,153,476,927,838,758,076,998,966,010,996,582,
920,278,405,551,532,297,084,173,779,324,502,391,611,942,003,197,178,556,528,
918,427,592,136,689,656,390,241,311,747,630,169,074,129,062,350,000,123,637,
964,173,746,997,328,584,196,784,317,001,911,085,149,410,268,200,947,447,880,
966,809,579,002,875,537,225,163,687,440,439,421,528,419,246,056,094,275,558,
106,391,015,853,980,307,646,701,591,612,032,610,803,395,274,845,910,818,499,
699,756,566,845,554,733,317,859,873,553,888,603,049,211,646,586,700,490,957,
849,340,958,469,987,451,660,340,696,949,457,042,908,068,100,296,656,318,313,
808,512,144,930,354,703,822,913,118,559,650,344,560,362,950,404,763,800,887,
459,009,312,442,096,898,872,296,074,175,294,169,076,503,564,410,554,554,712,
653,981,298,153,449,326,734,421,998,584,880,130,517,661,740,384,037,573,743,
013,486,799,434,592,227,475,586,305,285,765,239,120,032,921,492,448,062,644,
254,688,489,722,324,258,852,079,501,124,661,094,046,661,934,813,038,767,937,
112,355,055,856,187,331,586,076,959,959,531,641,294,349,524,592,907,653,877,
215,432,956,493,952,457,719,083,610,454,848,692,643,328,180,199,548,046,447,
685,161,513,002,170,091,384,730,313,543,685,413,272,780,812,834,442,012,391,
102,925,699,573,097,657,348,076,231,155,630,487,737,850,790,110,431,103,394,
028,390,377,659,790,565,728,227,663,625,473,069,791,018,992,807,774,238,720,
075,456,468,576,054,189,932,242,272,009,283,290,479,521,017,829,539,523,508,
365,793,918,671,460,765,983,383,640,897,799,718,935,632,343,193,782,176,180,
463,699,202,486,471,142,725,583,608,754,929,866,638,829,756,226,068,708,841,
773,519,937,085,284,655,879,845,668,484,201,056,276,494,698,906,510,629,647,
963,566,347,137,858,233,117,148,273,234,552,084,506,864,449,548,882,531,896,
207,615,632,842,868,493,931,871,704,579,935,072,391,488,956,618,197,316,890,
147,271,639,560,621,737,111,649,955,437,159,658,578,803,700,388,695,632,821,
533,693,850,145,045,680,119,933,819,559,542,732,617,226,933,580,004,329,525,
072,513,715,470,260,729,273,198,301,471,670,330,739,770,100,562,726,127,714,
044,195,217,155,153,097,437,895,588,376,914,642,402,255,596,143,341,809,093,
855,511,766,358,090,466,685,960,774,740,786,736,884,600,296,882,619,617,310,
907,305,986,184,014,005,533,301,989,892,030,969,619,333,283,117,039,122,882,
673,393,215,883,474,769,548,849,302,191,629,017,017,561,171,559,736,564,178,
763,940,514,964,684,985,409,460,291,302,284,575,985,629,711,737,813,653,302,
079,140,181,821,226,810,775,508,892,137,093,747,004,642,600,078,637,772,102,
227,985,825,570,642,028,913,046,106,289,342,605,403,968,407,233,201,652,878,
877,979,824,093,354,431,157,021,677,480,013,884,172,463,926,774,466,626,213,
600,108,291,143,543,784,481,417,230,990,663,427,840,830,937,074,796,672,569,
570,710,527,613,738,378,367,067,602,703,194,405,208,146,444,761,917,204,521,
692,270,437,145,909,583,047,563,005,584,550,184,585,496,775,203,527,172,186,
931,331,983,158,952,184,248,783,895,473,710,876,232,732,706,271,547,337,682,
427,560,802,992,556,416,044,370,370,294,581,276,872,325,441,272,070,309,625,
026,985,150,692,813,596,660,317,301,453,683,066,858,208,695,443,196,362,351,
502,574,785,471,173,590,292,793,797,570,146,141,648,714,423,380,980,490,963,
576,093,273,269,652,210,535,796,662,024,676,133,027,170,216,522,893,332,836,
621,788,039,421,476,679,642,290,670,738,716,921,483,863,432,672,033,715,104,
485,961,910,452,909,266,646,517,134,597,586,429,954,934,021,625,059,066,186,
871,206,262,840,154,006,726,254,448,855,021,753,350,097,446,486,688,199,832,
706,778,082,306,637,303,595,421,494,113,089,718,694,994,492,872,168,395,645,
762,249,407,528,043,519,061,228,063,550,965,326,776,123,889,435,128,680,023,
753,741,803,050,288,421,918,965,254,418,993,178,740,285,541,801,401,921,723,
054,312,748,633,294,544,456,564,171,687,951,056,912,424,640,971,987,230,251,
651,246,446,656,172,830,763,495,916,542,470,048,790,113,038,054,981,575,170,
211,834,184,732,690,052,466,307,363,679,587,013,698,238,083,055,591,548,221,
025,314,226,287,303,312,246,100,811,234,734,887,558,784,364,116,989,533,357,
369,690,755,048,922,558,424,980,738,551,020,877,995,193,179,120,679,848,554,
566,550,196,531,238,746,068,558,719,353,051,133,688,798,916,714,897,712,837,
653,070,680,662,859,625,086,833,690,181,829,893,069,688,439,544,653,510,924,
592,103,933,263,651,252,267,639,030,894,498,212,918,396,278,280,643,232,019,
693,969,876,180,466,382,833,603,379,250,121,128,488,159,194,066,839,657,101,
070,552,953,644,649,724,838,944,369,914,781,537,373,688,288,002,380,553,701,
478,425,330,446,707,390,431,910,545,500,502,433,922,769,626,319,637,546,413,
251,696,054,540,332,120,758,344,475,048,950,763,562,283,021,813,280,044,526,
294,417,905,995,415,091,476,925,968,662,351,940,624,511,017,618,786,935,846,
576,749,519,681,054,983,296,368,921,854,566,743,666,860,201,321,943,789,961,
910,346,476,006,921,422,009,399,385,675,758,432,299,756,288,203,453,876,463,
786,908,364,411,013,961,738,105,275,228,238,866,445,743,279,924,570,848,702,
971,277,107,896,035,336,826,240,470,343,753,002,447,625,254,784,908,484,565,
945,783,229,420,081,653,151,177,489,246,703,621,111,523,685,495,506,460,761,
051,310,635,315,481,051,371,478,368,279,050,279,319,263,302,211,573,977,322,
355,081,214,726,494,600,530,095,069,727,206,624,214,330,553,100,145,891,888,
738,940,555,025,046,178,858,244,946,986,581,503,018,201,428,507,804,369,065,
493,972,866,314,002,666,190,682,096,950,836,704,135,509,604,760,555,351,681,
622,451,588,076,893,185,959,721,841,363,560,295,485,456,196,796,188,638,741,
374,679,374,375,084,174,842,401,042,844,520,359,329,394,158,035,552,656,823,
698,559,453,387,465,228,070,924,019,003,583,206,972,805,424,594,422,836,612,
382,884,368,704,900,299,902,150,951,573,634,120,967,708,431,184,544,611,398,
487,744,400,398,155,820,291,449,997,430,506,409,403,551,754,276,099,298,137,
331,959,179,458,894,213,273,821,537,005,110,476,313,902,877,932,272,026,224,
110,859,487,395,220,055,176,717,742,470,016,684,128,836,127,482,242,621,382,
322,903,539,673,186,065,334,607,122,611,559,402,014,202,262,911,269,539,040,
389,778,386,120,941,079,794,522,678,161,279,126,179,334,862,287,437,670,884,
123,399,994,462,627,911,344,208,429,484,078,537,117,693,238,766,924,712,905,
749,279,069,608,211,590,741,530,376,966,283,771,448,127,408,652,144,380,782,
369,981,093,678,031,900,309,674,567,482,543,080,692,963,014,290,472,900,094,
529,300,318,126,597,558,008,395,183,668,150,636,478,491,947,619,057,988,005,
777,166,458,148,187,863,740,047,268,985,623,921,326,405,002,673,828,325,580,
541,276,360,297,044,185,471,499,249,865,800,693,140,571,199,491,227,571,227,
101,307,858,043,888,555,951,226,542,566,916,179,627,987,755,936,319,726,855,
373,136,714,922,472,714,443,541,174,066,858,468,042,064,138,356,430,485,998,
557,905,124,551,681,806,680,656,953,220,459,384,570,440,899,889,965,593,733,
066,423,103,669,236,384,079,742,434,635,980,918,653,775,431,109,714,765,378,
664,522,076,809,135,544,477,105,269,507,406,585,791,149,354,927,952,784,817,
976,673,236,976,237,846,392,931,603,674,888,503,992,768,666,916,665,333,377,
503,072,916,462,954,043,413,910,243,743,733,002,897,996,561,608,339,366,672,
355,896,683,672,637,623,005,913,057,707,876,030,254,738,622,585,475,507,736,
483,891,837,926,769,064,608,733,482,038,333,356,606,731,051,384,035,022,483,
993,713,176,812,202,323,022,644,844,149,062,441,384,973,969,742,379,255,643,
500,968,647,838,974,033,693,309,693,323,242,197,712,565,158,106,808,802,105,
273,738,348,106,116,509,765,526,096,391,031,675,165,247,536,477,546,227,933,
081,466,066,995,130,732,805,139,089,697,349,516,548,111,242,645,714,471,088,
588,771,974,592,866,335,997,449,967,641,846,338,094,557,071,215,358,429,284,
790,450,372,470,226,132,600,140,840,533,358,231,805,869,924,338,023,160,262,
810,698,084,366,747,188,376,762,867,423,913,006,299,813,261,445,498,211,741,
855,707,016,716,521,856,490,697,080,462,488,733,816,744,549,544,442,517,836,
961,456,497,415,173,657,654,075,939,529,605,777,715,320,626,906,944,086,838,
204,623,049,334,456,059,012,196,073,551,582,434,464,339,173,773,379,412,477,
923,091,653,093,181,963,919,635,240,151,172,074,516,110,696,107,604,651,857,
751,555,168,950,751,427,011,543,568,157,147,145,561,524,803,247,569,572,564,
847,086,670,383,920,087,624,542,556,426,624,048,395,160,188,072,990,760,812,
280,604,080,691,908,973,552,834,373,103,040,826,362,986,243,619,707,119,673,
126,917,042,123,388,719,273,456,514,632,779,186,004,016,354,622,009,565,812,
985,232,312,309,154,401,920,311,625,771,401,513,853,588,234,731,201,382,556,
165,063,382,725,819,289,241,971,220,843,958,316,957,953,421,126,596,565,472,
088,493,837,309,927,282,814,627,052,587,546,162,252,331,061,856,477,485,120,
804,867,000,742,006,253,554,777,036,107,776,510,135,405,750,583,088,271,712,
613,979,427,984,693,132,431,867,571,641,509,508,774,992,134,102,192,390,014,
188,143,857,402,468,572,785,763,451,380,085,379,173,790,288,965,459,109,324,
601,955,808,290,582,623,946,997,091,598,854,853,963,620,050,767,678,779,287,
982,426,439,734,687,227,627,329,754,468,333,070,485,314,897,748,703,809,701,
715,812,989,801,851,654,468,927,411,585,335,862,307,380,132,947,393,681,250,
900,853,027,644,917,175,556,866,502,887,253,617,331,641,391,000,573,899,580,
877,533,268,644,097,601,013,478,388,261,045,795,582,057,880,544,943,029,331,
887,729,861,931,762,042,278,524,358,780,284,833,591,398,082,748,616,913,417,
398,453,902,956,076,701,026,482,877,796,661,812,379,324,105,635,188,165,341,
167,210,389,916,540,276,142,431,953,501,688,416,427,080,158,616,659,386,262,
784,172,282,735,940,989,086,742,162,322,087,826,121,995,958,970,983,756,012,
807,066,912,791,346,274,817,848,779,097,912,043,253,596,643,729,174,256,203,
531,002,010,972,086,219,947,937,038,452,631,557,457,018,938,986,541,530,045,
647,981,474,736,723,841,647,474,585,261,917,869,068,712,732,621,437,459,698,
454,886,999,452,986,051,840,136,909,388,655,323,912,354,362,617,692,805,036,
756,802,648,065,593,586,328,395,718,377,896,760,869,410,092,332,533,242,904,
126,728,460,448,941,977,063,791,922,666,353,607,625,290,718,255,358,677,593,
740,920,132,039,306,102,378,577,093,344,538,750,299,199,206,831,329,947,112,
405,282,381,911,246,905,641,411,756,920,616,716,563,412,157,622,213,590,444,
772,422,430,445,583,300,762,482,297,588,709,327,626,668,651,491,660,380,234,
815,922,544,449,034,220,193,007,633,407,556,753,058,503,965,949,573,732,928,
809,189,583,402,713,778,165,975,389,526,902,741,152,342,492,360,240,908,256,
118,598,294,051,136,751,310,416,176,402,173,580,635,357,106,635,782,798,964,
806,194,902,664,653,403,754,487,071,161,855,214,226,219,676,443,453,596,351,
949,353,315,587,768,751,352,486,358,591,087,369,333,355,618,917,546,258,348,
889,407,921,489,944,684,852,842,636,340,312,912,225,308,303,088,705,823,505,
034,008,428,529,549,388,008,370,667,466,517,195,257,319,181,074,259,207,358,
601,081,341,661,403,697,117,538,109,077,467,335,423,419,104,970,883,523,660,
736,492,020,257,026,523,362,088,657,681,599,770,064,709,481,325,563,859,778,
335,810,345,962,680,285,651,884,377,321,185,195,251,467,413,142,178,888,527,
940,044,293,768,222,682,263,498,125,178,267,409,743,634,900,711,411,922,355,
950,199,438,537,859,946,961,603,140,924,100,415,743,436,123,034,224,236,532,
924,842,833,107,510,933,644,159,748,923,947,563,822,068,088,659,223,750,478,
667,876,961,140,709,254,919,952,238,083,760,147,914,975,866,949,441,660,614,
958,115,918,453,406,353,888,773,660,956,255,430,135,598,275,214,526,511,224,
782,530,546,669,599,552,023,139,695,168,725,877,545,933,281,625,804,968,398,
407,919,198,665,361,802,242,256,483,038,871,234,358,502,162,709,589,443,433,
490,482,302,962,483,338,978,576,449,958,030,796,335,193,015,875,689,867,862,
575,922,161,272,894,671,244,217,887,647,222,470,198,509,398,335,789,594,563,
115,611,725,133,572,954,408,856,903,135,240,778,238,498,660,646,975,144,628,
524,215,557,657,780,876,222,144,872,129,382,006,591,727,876,273,644,946,868,
444,697,943,779,128,779,091,502,440,121,095,897,673,245,426,412,088,445,425,
850,225,836,934,738,755,414,711,447,328,602,490,483,328,387,213,132,550,447,
731,494,589,733,995,253,517,487,917,348,116,450,417,163,349,109,353,828,932,
333,876,279,263,341,374,237,164,988,542,743,389,692,633,164,359,737,449,965,
473,938,801,200,165,164,062,430,243,492,620,415,581,998,460,578,653,207,645,
171,767,507,456,902,844,130,637,332,605,294,444,688,484,555,551,068,192,137,
318,714,810,016,241,227,376,138,862,741,238,467,470,884,272,930,001,916,502,
040,541,604,461,766,491,569,336,717,276,905,939,284,877,606,206,457,493,904,
799,027,895,428,866,332,137,236,528,804,261,689,202,671,459,039,454,596,622,
379,731,509,405,013,421,518,657,390,057,616,896,072,517,964,886,320,039,233,
270,273,282,334,884,430,466,629,656,323,528,884,857,135,535,784,471,312,475,
728,409,770,622,977,571,234,706,097,962,029,621,591,929,369,625,787,683,235,
556,259,596,528,761,309,243,134,975,194,990,316,630,181,464,811,440,324,082,
617,994,965,488,027,315,672,146,805,361,868,731,734,566,607,236,187,602,382,
010,620,344,035,379,596,813,368,901,816,049,923,374,133,280,231,545,883,016,
778,988,454,355,203,042,951,873,962,340,301,912,201,349,447,231,217,511,275,
984,644,058,288,210,401,779,963,357,991,455,131,868,688,177,209,685,731,777,
788,368,070,795,580,473,204,915,009,438,148,169,081,247,675,527,802,088,391,
688,711,360,953,968,919,594,307,017,962,749,575,618,103,464,028,767,353,303,
739,001,796,314,651,621,584,953,334,610,189,532,903,099,958,049,614,554,201,
050,015,767,270,625,736,037,179,126,416,268,498,759,480,194,120,472,078,939,
319,128,347,947,545,162,256,690,786,486,520,625,603,572,935,862,811,921,999,
253,364,364,277,887,429,931,848,550,132,505,785,581,405,311,627,785,793,341,
004,387,996,559,963,099,352,144,533,196,223,772,713,272,456,835,045,612,060,
647,802,352,048,957,594,969,477,005,823,594,899,868,705,754,581,136,321,336,
327,871,347,218,440,317,877,745,659,629,711,448,340,922,423,129,127,633,790,
775,512,673,753,931,049,743,413,312,473,917,472,476,009,048,548,692,260,893,
171,201,855,584,718,476,188,214,994,714,629,641,911,584,620,911,210,383,238,
899,216,751,324,157,118,829,426,538,662,156,032,237,546,430,868,485,160,831,
847,812,833,258,598,707,709,676,032,477,420,889,123,309,754,819,178,315,322,
063,793,894,529,725,444,175,354,217,341,478,811,729,302,029,032,633,603,807,
305,930,881,578,498,904,498,824,442,749,272,487,037,150,185,915,276,765,543,
784,845,459,132,446,693,625,626,690,508,399,615,588,301,420,834,371,649,598,
602,350,895,520,897,250,933,890,050,403,918,638,689,547,420,028,727,826,321,
388,792,743,177,708,817,260,130,559,626,039,077,613,524,490,438,693,636,919,
483,472,252,658,058,925,745,926,714,567,500,607,356,918,606,506,173,498,432,
142,971,939,841,028,962,004,620,178,190,655,233,568,339,216,097,113,997,688,
293,132,168,009,079,035,400,801,293,523,879,716,278,133,914,797,808,672,040,
441,546,975,400,250,737,338,305,239,750,514,762,966,780,634,302,660,030,653,
865,535,005,726,771,340,292,118,819,759,379,626,586,929,692,989,228,839,476,
281,559,180,423,243,800,502,048,185,064,700,791,677,916,698,658,657,689,671,
190,151,401,095,850,815,241,279,228,201,216,911,354,845,859,800,122,686,999,
495,379,178,200,580,342,607,461,910,435,584,561,887,353,867,592,086,050,696,
156,897,231,418,852,520,057,350,576,708,368,367,907,077,055,955,921,945,369,
810,620,009,369,053,887,285,701,758,477,621,904,596,940,807,820,392,277,709,
743,703,825,022,860,287,948,633,126,167,000,389,501,901,151,967,201,243,177,
433,314,345,051,975,991,592,068,974,499,160,100,991,058,950,332,353,126,622,
528,666,125,125,928,443,479,353,408,023,275,714,319,012,067,433,098,243,661,
578,229,954,397,769,259,524,636,483,488,856,278,443,611,502,444,140,663,933,
695,554,573,540,099,157,864,180,745,474,032,730,935,993,328,235,293,488,681,
674,520,356,965,065,312,034,629,102,911,888,046,706,098,030,643,745,455,757,
674,293,049,294,830,170,553,921,730,303,571,954,327,145,114,836,121,226,064,
547,451,814,925,319,762,860,612,370,331,254,624,836,147,928,418,729,342,381,
621,468,520,137,829,754,638,140,596,768,456,897,199,655,693,761,687,106,690,
099,252,490,032,578,208,445,179,178,420,205,186,806,102,985,737,428,020,750,
733,706,981,928,223,904,713,818,628,181,178,700,192,099,951,938,028,321,414,
920,232,188,108,168,213,268,919,753,794,761,077,217,418,238,521,617,851,229,
468,678,110,702,853,041,950,456,693,863,176,852,839,392,878,357,723,260,627,
624,637,712,597,382,015,787,537,705,862,624,938,028,730,587,177,232,085,681,
277,496,826,908,182,077,716,024,247,047,834,874,191,090,887,315,485,818,533,
150,282,177,101,234,093,651,504,160,664,166,943,899,474,360,857,445,794,339,
892,756,691,485,276,609,443,923,498,481,895,848,161,330,463,097,079,541,248,
129,619,620,488,745,747,198,011,876,347,956,704,313,114,319,482,037,962,979,
754,358,915,674,388,464,475,057,499,097,768,338,917,229,157,617,555,951,654,
216,198,438,682,732,240,602,246,824,533,056,287,261,241,778,143,941,560,778,
064,883,311,634,397,286,349,748,323,191,048,011,730,416,666,526,778,322,444,
849,331,809,279,065,225,163,994,614,178,076,681,545,251,854,971,944,951,828,
270,535,947,791,516,456,764,681,862,247,211,800,201,165,150,390,719,676,438,
085,370,266,718,600,762,523,530,365,706,200,764,021,926,868,246,384,310,325,
585,519,167,620,959,981,916,425,585,055,727,574,439,945,691,050,281,179,328,
313,902,018,246,525,386,655,785,925,698,179,295,841,235,696,526,380,806,870,
022,966,686,631,986,977,452,319,444,128,061,844,783,830,792,007,077,371,451,
198,746,174,621,944,611,962,186,931,863,403,328,581,926,283,507,362,980,005,
874,472,668,205,854,913,328,422,818,407,389,162,996,360,498,362,665,852,857,
107,553,107,553,217,289,071,084,490,894,743,350,133,671,452,642,722,441,459,
258,380,970,178,614,934,324,083,071,761,290,922,077,366,472,194,409,455,855,
453,936,714,221,750,326,005,784,562,870,793,880,614,908,500,353,939,149,228,
746,483,746,967,271,163,276,408,681,095,969,170,457,120,762,016,540,720,768,
317,916,864,231,384,067,341,549,404,646,062,773,956,130,591,629,507,890,281,
001,534,179,718,063,153,790,614,588,289,641,840,005,157,113,523,031,399,269,
275,575,892,357,460,164,777,308,956,429,276,143,129,105,297,499,654,782,594,
319,159,215,480,284,480,509,129,064,472,372,316,421,821,772,974,323,383,552,
318,045,964,931,735,605,469,683,739,103,285,112,393,342,952,655,779,733,993,
379,847,779,248,555,550,512,448,138,112,396,372,134,094,448,524,328,545,331,
892,224,303,784,664,355,170,587,383,531,543,458,735,559,041,268,918,642,856,
580,576,768,835,663,431,708,273,357,466,713,385,333,282,945,489,758,486,841,
680,471,020,666,454,437,210,656,161,529,058,828,224,151,417,238,722,756,480,
286,531,172,344,944,136,698,415,008,990,607,772,845,925,210,656,995,755,911,
773,581,385,518,284,752,949,067,439,898,759,897,668,962,615,758,858,547,426,
398,023,023,272,085,077,988,832,612,204,992,906,711,557,037,693,793,254,905,
505,479,920,699,096,421,026,759,973,009,557,075,987,166,515,767,948,857,820,
196,578,257,201,446,447,317,688,477,774,893,376,606,278,485,564,082,433,922,
218,317,926,688,445,175,489,423,791,574,437,898,212,512,330,486,505,213,549,
998,730,183,941,643,511,855,650,755,436,216,240,855,676,755,558,811,166,112,
692,925,705,968,610,859,517,653,852,048,023,810,586,392,682,506,510,545,503,
503,720,239,026,749,544,498,976,310,699,308,799,793,962,799,070,687,267,322,
243,842,111,602,329,021,020,504,738,026,211,000,160,283,296,567,838,796,913,
695,014,544,750,022,853,568,272,309,135,869,231,551,237,527,223,688,290,607,
985,228,343,543,208,604,909,800,012,101,160,496,537,447,808,090,419,974,058,
233,391,958,334,222,416,773,792,352,008,485,777,892,796,675,315,985,718,671,
109,579,882,924,313,594,031,550,480,448,071,996,341,552,259,309,862,947,138,
436,731,780,965,546,516,828,290,751,538,734,327,585,048,996,279,328,920,499,
698,653,731,842,081,396,567,723,007,298,004,966,201,461,782,831,039,840,892,
975,034,942,582,832,332,022,245,465,545,456,130,900,865,137,830,522,436,245,
803,506,406,259,784,145,788,113,523,442,220,378,626,443,289,238,903,852,983,
945,899,373,311,761,825,932,224,841,246,312,053,718,043,723,210,008,543,449,
440,027,161,965,447,786,515,446,227,768,389,763,592,808,388,261,224,171,932,
192,673,690,699,166,953,036,758,136,834,057,477,792,688,540,885,015,940,975,
371,688,332,608,904,392,665,885,077,268,646,915,411,950,790,918,382,305,362,
136,624,076,366,170,332,319,761,095,011,438,455,183,771,600,637,931,193,116,
906,787,049,691,014,655,154,393,986,563,867,977,521,045,050,758,030,693,246,
185,151,959,293,411,891,743,925,102,047,208,616,014,443,444,579,582,845,847,
959,850,136,283,918,433,616,125,679,098,746,059,534,420,806,000,513,344,188,
677,707,477,801,516,746,589,914,486,793,224,946,637,614,478,858,858,443,215,
630,707,638,981,848,956,296,396,414,070,357,553,197,194,179,879,079,577,946,
442,828,863,205,263,222,161,317,333,752,657,929,282,988,188,157,447,962,319,
453,996,390,884,057,958,384,840,931,321,474,775,743,553,158,662,807,917,969,
119,472,787,554,609,746,369,990,112,078,908,053,120,140,214,012,229,636,333,
900,591,260,023,161,812,764,025,472,188,619,465,886,945,057,026,147,911,111,
865,097,294,123,962,768,382,665,411,575,952,709,790,151,785,448,256,134,509,
631,834,521,836,833,011,905,455,309,451,291,260,763,820,555,430,005,136,223,
652,668,541,372,355,070,550,604,998,069,873,897,972,438,980,881,792,996,938,
254,542,447,632,918,203,893,368,758,339,667,645,466,661,697,421,791,963,273,
936,676,210,343,259,927,503,711,828,673,354,678,100,335,579,310,846,342,743,
841,185,529,210,366,011,411,422,152,985,446,317,210,050,523,351,479,234,718,
897,864,406,215,835,231,228,613,385,073,736,316,969,796,734,760,715,211,734,
168,426,504,083,566,586,356,677,313,086,187,426,079,643,314,334,693,366,530,
584,143,538,211,720,617,145,181,999,151,746,249,768,619,829,462,522,986,061,
689,067,199,020,846,105,960,097,592,471,946,562,277,128,313,384,247,082,019,
084,495,861,729,189,364,114,197,806,767,101,973,377,730,193,679,732,855,910,
050,078,948,861,756,462,503,555,828,586,633,583,914,037,862,236,345,520,194,
694,528,658,271,873,262,308,550,293,196,262,588,534,169,773,378,506,424,917,
444,512,827,902,210,690,620,305,602,674,600,380,875,703,161,487,203,367,664,
107,170,169,398,320,691,283,291,831,511,994,341,727,836,680,063,335,416,969,
081,347,026,583,462,265,010,953,500,617,811,171,159,979,552,228,990,118,802,
654,835,181,983,674,828,118,434,133,362,935,307,219,409,482,723,340,268,978,
335,336,586,189,145,151,042,599,042,141,773,362,455,537,659,752,402,930,720,
851,191,758,860,272,714,797,817,859,770,708,816,608,930,016,090,042,464,878,
075,382,564,678,875,256,010,772,138,885,705,627,637,872,937,398,102,799,375,
996,183,785,221,518,627,790,214,118,368,226,112,736,064,441,074,620,170,694,
577,853,673,965,979,108,008,177,594,518,135,456,894,770,407,244,028,694,885,
909,973,100,855,433,944,212,954,441,506,370,022,732,012,273,440,828,040,125,
657,023,149,702,862,942,685,713,750,218,950,916,721,353,072,958,260,170,744,
648,667,263,013,459,786,070,790,042,026,028,309,704,037,776,495,827,168,656,
481,530,976,066,962,619,963,190,549,231,252,170,156,780,755,493,585,235,520,
034,449,918,151,864,281,141,060,673,225,704,222,471,121,755,723,925,466,940,
517,297,264,424,836,120,210,188,861,896,583,599,307,513,044,257,721,545,209,
517,342,695,098,165,168,876,667,565,372,358,639,923,042,771,533,177,357,961,
694,446,554,726,808,770,128,927,296,695,268,968,782,465,201,101,952,277,329,
693,060,704,415,349,868,137,296,160,539,283,646,508,740,914,869,181,763,890,
290,841,423,759,001,687,215,289,048,540,374,404,374,039,294,126,700,756,065,
148,723,638,725,878,839,810,739,642,173,183,414,684,940,519,443,248,522,841,
098,017,550,044,593,498,559,982,740,664,755,321,744,441,420,541,145,276,081,
140,830,986,961,934,395,051,299,815,956,795,009,888,809,345,865,339,506,126,
060,499,611,382,616,701,945,607,406,392,535,377,031,804,906,728,244,894,079,
166,388,652,409,073,571,056,179,676,061,246,749,329,248,908,861,598,530,123,
707,392,028,641,757,504,797,530,159,304,163,421,904,793,368,044,599,902,872,
981,600,997,576,279,573,325,781,020,100,980,756,752,560,221,312,991,900,550,
549,012,561,158,685,372,384,844,825,757,191,754,186,203,939,422,088,352,519,
759,188,824,529,445,014,824,841,328,111,353,334,176,858,531,393,280,272,659,
665,221,007,309,413,275,413,044,114,459,173,387,023,252,712,533,717,841,688,
311,732,890,004,859,673,614,718,138,175,886,190,197,863,641,611,233,656,350,
169,629,043,365,142,204,200,165,928,684,473,129,056,093,664,360,158,888,244,
804,213,343,916,953,917,389,754,187,121,674,399,560,170,083,058,811,114,503,
745,033,864,617,571,441,858,060,763,734,134,080,509,458,545,711,453,167,900,
195,527,049,351,827,212,091,853,359,605,651,100,082,758,777,065,418,060,777,
729,898,661,414,368,482,993,326,501,568,664,129,939,321,821,440,183,337,439,
384,835,098,316,023,281,111,156,004,448,374,436,417,584,917,801,535,635,676,
240,845,125,033,013,238,586,435,613,399,926,276,487,062,409,852,426,393,331,
266,974,881,183,974,237,253,052,262,612,188,242,520,598,369,620,444,686,269,
296,539,877,909,822,569,702,724,972,462,824,817,316,409,144,521,022,473,506,
325,950,306,295,653,142,890,039,895,552,048,132,536,098,767,653,510,170,192,
230,013,508,910,759,270,932,494,357,096,785,041,284,931,106,698,517,713,067,
601,029,716,941,657,064,282,531,878,461,415,950,789,752,538,673,793,518,402,
681,511,004,135,526,577,044,896,878,043,529,577,239,797,624,361,774,677,997,
524,184,616,783,021,645,159,704,577,988,789,692,413,413,418,409,831,568,943,
524,167,995,219,650,016,120,626,887,248,565,491,668,661,247,582,778,542,885,
168,487,942,836,061,847,089,647,127,257,194,769,046,982,052,933,699,049,340,
457,749,863,151,186,573,273,374,664,597,744,108,631,281,937,035,041,709,242,
027,276,834,056,982,865,161,351,805,125,262,000,948,632,571,379,045,046,433,
208,868,928,210,352,491,849,013,832,418,846,798,151,529,118,675,444,300,719,
309,890,340,061,311,356,253,788,162,849,041,303,768,811,408,509,016,165,269,
320,084,263,687,390,156,619,462,740,421,523,862,791,599,433,333,451,669,172,
053,697,627,313,255,986,023,257,694,711,346,775,436,048,754,771,423,182,353,
579,188,413,032,357,407,305,046,164,029,692,370,424,511,753,977,080,814,346,
954,244,972,129,191,915,170,301,932,666,734,664,289,976,388,785,741,958,191,
929,774,236,478,737,656,762,125,575,540,144,449,501,136,385,586,274,297,820,
914,207,380,530,154,413,533,701,057,269,942,144,951,331,045,115,659,940,017,
384,013,317,146,070,994,732,543,947,722,700,217,786,361,367,802,575,084,304,
078,263,927,572,318,444,305,900,221,385,501,731,750,498,049,676,329,652,073,
712,307,180,465,989,957,389,663,971,197,781,553,155,029,326,577,092,544,184,
629,580,028,586,810,189,941,547,461,319,210,958,265,565,988,112,138,559,626,
467,768,389,462,063,468,670,328,450,268,308,014,800,521,407,620,431,287,818,
092,485,044,868,030,766,458,718,335,744,187,786,577,344,896,667,439,533,945,
591,139,012,739,400,079,341,738,959,843,331,078,967,971,240,637,830,531,372,
977,355,124,181,390,586,946,935,259,969,572,315,559,146,635,764,037,126,491,
509,326,771,773,602,304,739,230,696,362,798,431,468,474,375,456,392,297,406,
449,817,665,846,052,671,393,044,235,202,508,951,462,614,983,081,242,824,363,
334,653,576,104,601,032,219,836,485,628,165,503,876,076,067,608,443,111,986,
500,613,210,896,819,593,890,747,876,233,115,456,590,202,803,530,576,222,487,
718,604,803,531,117,805,368,029,057,545,591,515,081,272,177,194,252,428,879,
051,190,296,380,811,113,543,106,354,877,609,077,041,721,557,320,164,597,880,
019,825,019,837,070,001,368,868,941,222,603,786,406,208,817,310,815,898,055,
925,420,889,059,236,611,197,106,484,014,728,583,300,620,533,255,740,480,913,
536,477,992,196,608,342,939,158,967,007,463,476,503,383,987,513,984,805,141,
376,926,738,573,645,098,758,341,149,382,062,853,440,215,735,165,635,996,951,
494,500,261,622,180,408,555,060,387,331,761,882,532,538,281,455,052,166,878,
598,505,515,773,397,141,016,590,970,100,586,353,290,793,807,305,342,467,675,
841,596,080,249,814,472,627,274,778,696,339,308,868,826,215,564,998,504,045,
550,761,658,567,195,164,358,134,711,018,431,390,319,709,855,866,781,008,066,
738,510,186,980,150,218,414,404,456,333,059,968,675,423,602,621,334,154,670,
793,792,761,705,232,876,829,101,453,215,433,402,271,291,697,293,275,120,645,
220,182,628,272,558,268,743,666,501,618,389,318,832,994,977,887,134,082,959,
537,677,525,245,596,937,891,627,416,742,004,598,630,419,792,221,042,160,645,
310,765,170,567,214,588,949,869,023,182,136,882,305,043,490,109,290,541,710,
514,547,491,123,281,545,701,788,095,878,515,630,203,396,078,572,307,355,759,
211,136,612,138,780,352,301,746,801,227,088,342,671,280,814,054,279,469,535,
870,917,708,364,638,884,402,561,076,978,406,399,983,834,389,102,914,689,042,
587,566,269,084,812,166,447,927,247,811,591,014,564,237,250,438,522,018,964,
592,214,289,400,862,488,191,370,694,944,497,529,865,884,104,163,428,159,973,
063,529,237,538,316,827,330,720,146,543,613,115,307,279,609,293,640,190,839,
099,545,620,249,679,808,017,298,381,687,803,857,431,639,846,661,359,850,496,
578,644,622,087,420,158,654,100,054,892,883,479,397,799,041,487,851,457,436,
882,962,535,363,137,202,425,818,923,519,164,695,725,069,408,821,551,836,380,
532,479,411,941,742,545,843,564,819,272,753,757,747,297,093,856,877,118,991,
977,879,805,904,760,371,991,456,754,167,882,696,264,105,281,652,981,547,654,
752,367,276,400,371,936,579,484,174,908,314,639,016,604,351,629,010,779,871,
356,597,291,447,469,874,400,746,631,917,378,795,783,176,723,342,548,498,802,
581,071,755,307,094,526,680,477,060,121,561,385,852,198,705,047,876,697,909,
793,706,780,649,755,198,250,841,359,818,719,005,188,980,510,568,575,624,831,
726,838,558,811,640,409,300,613,337,428,879,215,767,111,971,670,826,815,328,
388,611,672,808,237,050,249,189,406,500,334,417,618,129,363,777,858,161,209,
444,083,918,216,122,539,184,895,087,726,422,163,389,643,203,270,423,699,916,
102,720,865,407,371,470,491,559,457,800,739,956,498,569,966,859,655,978,635,
919,318,486,020,260,072,459,613,911,675,786,063,871,845,115,722,687,994,295,
959,087,001,722,631,739,635,531,068,872,308,905,977,316,835,656,030,120,799,
106,036,457,141,172,650,898,552,400,236,397,907,896,371,192,050,249,119,266,
953,413,354,785,162,814,541,454,696,100,736,555,673,625,570,610,157,332,265,
161,709,250,832,294,567,036,939,244,875,798,291,288,414,623,917,466,265,968,
087,543,505,816,487,152,048,544,051,794,506,264,642,250,247,431,000,627,694,
188,018,119,136,661,885,663,391,282,132,862,083,769,338,223,627,068,228,376,
355,955,244,847,311,033,511,067,210,275,916,441,074,608,975,318,700,786,713,
218,106,525,853,356,299,049,340,967,939,521,832,039,037,067,275,981,076,989,
905,846,926,867,976,350,107,988,657,380,522,612,309,431,634,687,281,200,690,
240,467,112,156,971,061,155,522,333,352,349,559,589,936,348,722,656,472,500,
692,695,277,769,067,352,092,548,116,390,215,906,891,231,875,171,109,459,783,
143,638,639,602,246,617,312,105,297,638,749,013,112,630,254,709,377,407,929,
002,629,616,719,750,298,517,435,103,258,814,157,168,495,339,505,329,001,368,
689,399,295,454,697,069,271,158,580,368,351,711,280,097,010,835,265,477,400,
256,249,422,750,466,421,481,993,963,834,678,330,178,036,049,782,676,961,673,
008,296,535,075,355,560,518,640,676,562,580,838,624,322,253,480,671,703,003,
836,403,836,948,258,626,195,167,010,754,338,836,787,964,307,474,083,902,542,
204,435,325,385,236,357,465,936,131,275,551,396,836,149,611,834,532,103,853,
576,670,211,874,218,893,089,658,523,822,307,815,973,045,446,325,549,166,947,
531,556,375,659,756,923,600,902,636,908,317,888,704,228,962,259,724,300,280,
766,970,955,890,217,472,272,757,312,414,942,871,859,648,919,752,402,234,504,
830,249,232,101,416,426,745,985,044,443,602,731,351,556,328,536,302,520,441,
907,276,049,624,377,305,966,798,578,695,414,285,104,629,600,386,216,668,840,
740,040,395,221,430,938,857,470,131,079,739,865,275,399,312,813,081,466,689,
206,499,260,682,855,341,510,397,640,814,351,424,000,263,254,407,780,282,054,
988,244,808,132,174,305,689,530,131,190,275,760,271,262,229,930,033,885,838,
534,996,331,300,679,498,642,505,409,110,495,824,567,759,391,949,326,951,704,
278,412,796,163,444,186,916,171,733,021,382,681,025,267,110,932,462,284,544,
394,622,224,732,568,660,362,659,739,479,664,704,319,212,645,302,568,054,128,
791,975,944,955,901,219,487,424,147,323,346,452,962,275,414,417,752,106,146,
212,738,727,033,965,772,751,679,297,474,762,556,150,037,929,964,436,921,036,
781,143,267,601,039,633,623,172,938,162,734,202,420,960,051,449,109,769,199,
928,583,827,392,124,279,699,279,355,999,504,539,124,883,612,349,711,020,743,
401,606,059,455,448,499,412,337,866,868,877,156,141,759,268,325,754,757,005,
579,748,620,166,359,870,518,184,821,089,385,517,574,095,420,871,828,372,449,
482,491,788,007,893,002,271,714,345,881,435,740,230,246,994,261,684,207,077,
824,353,590,956,284,251,682,811,603,831,231,393,854,737,176,725,386,052,807,
241,459,096,504,971,225,416,622,509,317,094,615,908,732,493,776,076,571,182,
376,719,563,373,384,832,224,245,128,722,499,966,241,241,025,093,403,850,269,
970,093,198,077,985,375,396,870,917,931,627,017,763,559,695,397,701,393,916,
818,441,140,059,503,925,042,656,392,675,675,021,387,049,522,549,498,508,202,
782,742,143,231,215,061,342,139,722,962,659,372,717,176,343,707,438,770,184,
761,700,492,318,569,106,994,284,804,131,398,341,679,269,176,000,923,841,443,
147,780,725,419,208,313,439,328,956,063,779,216,730,872,518,868,374,944,598,
219,338,819,892,838,854,306,893,963,039,666,402,627,082,828,342,054,341,983,
693,077,948,736,434,195,752,027,790,113,492,460,997,395,651,842,370,553,484,
622,945,290,793,857,592,713,406,808,655,448,664,766,285,096,316,258,918,750,
559,645,001,237,485,608,612,655,725,054,011,862,653,703,482,806,740,995,322,
338,295,497,670,623,184,055,201,247,320,368,938,762,539,921,882,066,090,266,
193,231,934,337,320,129,043,127,750,284,269,647,580,612,158,923,292,447,662,
185,748,969,962,244,442,966,914,764,363,013,477,450,718,888,454,606,906,316,
709,995,828,457,800,134,100,773,980,512,307,238,030,205,109,485,563,665,140,
140,276,735,949,124,870,862,739,916,298,353,478,016,283,099,980,541,864,473,
786,263,297,668,887,880,324,534,911,035,427,406,121,006,901,533,140,174,768,
292,774,207,372,563,715,830,021,313,783,811,405,357,216,354,115,664,568,607,
597,866,765,602,119,402,534,753,795,148,196,725,768,962,834,851,498,179,153,
267,722,228,822,684,776,224,269,203,083,628,385,512,829,345,955,900,760,948,
319,275,496,387,824,036,525,304,340,577,593,526,117,101,761,800,650,778,262,
301,620,564,465,202,863,778,832,948,506,032,784,408,293,585,000,638,616,450,
671,479,262,357,645,265,979,924,148,283,065,428,481,349,310,865,606,294,216,
422,191,021,950,632,554,137,788,360,036,238,759,576,874,314,936,099,074,543,
398,263,704,306,800,102,349,052,857,474,434,391,807,022,267,059,323,048,832,
007,249,161,060,398,434,012,730,511,664,359,740,526,371,059,545,777,394,563,
245,956,340,939,208,083,925,383,414,247,108,246,473,473,932,720,258,312,212,
738,514,997,269,205,558,156,063,396,550,384,422,680,719,432,711,125,594,915,
926,771,855,545,503,283,366,392,009,243,717,740,851,824,337,807,974,732,180,
523,190,933,740,414,220,001,094,244,377,971,118,983,935,710,686,592,429,104,
333,517,996,047,290,460,875,916,669,649,134,902,905,337,773,872,191,443,862,
420,430,454,243,284,663,665,733,606,197,120,314,845,391,445,569,667,477,122,
587,869,553,310,238,189,146,211,690,531,974,632,406,168,349,692,719,332,194,
315,037,010,543,204,839,598,150,885,768,243,009,791,477,668,687,291,928,182,
190,346,964,834,553,953,232,277,870,845,964,271,500,042,638,434,135,685,934,
909,358,388,240,117,588,425,508,199,985,979,013,477,652,342,631,243,413,550,
806,669,751,023,158,070,318,880,839,938,278,862,772,471,735,566,137,513,072,
562,141,724,187,728,834,897,536,438,713,620,254,982,878,070,937,951,034,306,
315,357,736,757,008,859,916,348,568,217,470,482,498,775,262,290,080,281,050,
043,425,005,326,062,772,656,482,519,393,855,437,303,438,801,905,378,604,880,
170,976,368,455,834,397,459,507,963,350,140,554,849,290,427,730,728,469,567,
099,253,159,286,653,640,313,856,460,344,885,329,429,200,507,207,830,429,504,
802,789,665,058,709,447,536,444,231,621,187,760,658,655,090,143,205,354,374,
479,199,919,306,634,944,341,773,040,446,657,298,755,175,313,021,261,519,381,
234,110,579,129,045,972,948,812,762,184,886,226,748,559,680,148,261,284,376,
167,463,695,213,824,930,416,445,483,451,070,177,083,943,329,297,689,303,974,
223,675,873,765,359,285,806,727,065,127,961,419,492,001,462,646,073,252,167,
555,956,702,033,566,671,224,569,495,410,846,369,943,307,693,434,327,020,408,
259,106,731,800,511,847,373,052,965,809,757,634,796,446,929,578,208,166,899,
755,429,583,133,769,062,675,123,553,653,111,969,101,439,482,726,605,396,294,
088,086,444,251,363,525,326,886,526,340,046,024,794,056,640,463,448,123,940,
412,914,296,099,221,484,564,814,524,895,536,682,481,924,971,819,999,812,683,
015,170,506,057,641,212,988,693,094,302,639,893,747,378,545,853,785,840,766,
406,552,067,312,563,019,314,543,271,513,680,617,825,895,568,957,495,004,507,
379,308,607,467,584,887,945,326,236,041,037,129,061,668,343,872,699,642,570,
520,667,744,524,988,768,534,672,580,822,111,876,696,043,987,352,554,404,801,
811,165,962,513,743,562,198,144,838,710,823,741,236,261,392,650,142,967,708,
585,258,974,799,578,394,870,026,683,777,840,305,302,470,443,157,195,085,594,
376,262,284,146,395,589,842,701,173,187,686,725,790,856,211,729,637,397,804,
729,568,403,346,623,175,448,962,907,263,972,974,018,529,045,441,176,850,942,
445,811,242,875,167,975,564,392,703,358,140,315,271,256,353,527,005,819,824,
500,536,712,743,802,424,975,589,774,997,519,680,818,676,114,233,749,278,361,
453,810,538,653,531,252,227,272,908,748,117,979,359,951,067,158,422,477,081,
531,163,631,924,646,245,657,444,211,889,735,122,705,277,250,040,574,612,806,
528,137,893,112,950,420,012,698,600,163,231,947,695,359,338,111,857,614,376,
687,527,893,395,800,504,184,590,660,426,628,821,955,099,837,764,626,572,205,
648,979,350,087,605,055,304,698,745,138,903,796,454,272,088,952,721,753,229,
507,462,530,699,864,627,932,404,998,130,855,879,647,583,617,532,172,500,544,
559,897,529,937,268,634,717,442,578,533,181,327,813,303,502,894,557,031,909,
673,620,138,636,430,037,403,114,461,941,676,134,490,920,605,893,605,021,977,
166,926,676,914,967,214,838,326,858,651,676,485,314,112,489,779,716,370,961,
770,191,963,215,149,184,375,366,451,405,207,609,969,639,631,631,321,932,762,
400,079,266,105,770,270,220,831,163,754,907,483,518,400,921,512,766,323,146,
065,180,129,511,437,523,448,370,997,392,883,328,968,363,648,161,909,143,339,
133,304,846,958,925,962,465,064,673,689,729,931,409,147,914,596,000,590,552,
915,794,563,189,909,721,394,241,738,924,836,635,631,333,003,645,379,836,483,
057,873,814,972,269,064,217,291,594,805,812,091,807,572,877,535,642,129,908,
077,460,641,687,099,613,175,166,689,472,341,463,804,280,784,292,379,647,436,
530,057,866,037,518,235,827,028,822,742,805,857,790,984,630,422,233,515,273,
398,088,311,041,898,605,954,745,499,349,332,342,380,445,074,326,857,904,205,
544,516,407,568,190,124,776,665,774,873,081,899,462,785,479,397,390,295,502,
094,122,294,141,601,656,488,382,729,749,053,850,578,345,773,474,289,564,648,
286,683,805,496,469,190,144,596,064,445,890,459,841,338,794,293,970,763,429,
822,020,979,774,761,949,087,253,183,792,393,578,188,913,861,825,344,512,217,
669,144,121,052,699,506,638,278,397,824,543,138,688,807,797,593,251,073,879,
177,904,383,952,555,445,241,571,889,309,872,649,936,538,006,228,165,571,396,
966,454,522,342,843,651,849,876,679,025,484,585,948,573,990,724,009,365,278,
406,891,227,270,781,303,519,205,571,523,823,082,996,516,330,360,674,135,259,
005,951,629,095,588,645,056,124,665,620,770,284,117,371,434,903,225,432,204,
770,254,054,243,162,337,749,937,590,778,096,152,939,915,046,871,384,764,524,
243,098,417,551,287,900,893,835,670,819,087,915,859,745,511,671,301,828,917,
963,166,853,802,050,321,427,113,610,089,290,280,274,217,309,593,734,966,797,
666,699,860,865,865,136,253,140,991,935,580,584,090,257,285,736,886,672,953,
544,152,144,162,173,994,486,081,337,204,406,777,644,697,161,411,940,399,872,
316,393,396,590,327,913,954,198,159,285,665,269,353,155,362,415,799,376,025,
689,110,298,250,987,994,002,225,524,066,687,606,400,536,493,840,732,765,024,
904,534,483,998,489,205,562,907,359,784,975,218,467,106,406,000,390,946,763,
546,924,155,455,634,468,439,936,257,083,804,438,372,470,479,863,220,012,154,
003,040,164,967,177,885,114,057,222,351,162,414,079,865,792,904,707,097,475,
576,279,179,408,415,534,706,728,753,480,318,072,038,239,077,148,864,738,252,
959,973,864,715,057,647,197,696,111,862,673,049,402,715,311,984,399,691,997,
313,464,301,259,912,493,344,154,087,196,418,955,106,928,498,045,099,629,267,
248,116,142,587,649,405,393,049,866,304,053,610,750,533,013,874,950,093,381,
680,578,640,112,079,797,996,780,421,453,758,501,718,509,554,972,661,031,287,
614,532,931,657,699,915,733,998,958,308,993,217,549,768,191,260,695,239,319,
728,977,353,917,975,981,516,614,091,276,240,398,235,009,230,347,552,668,696,
355,507,079,493,877,359,281,787,531,684,653,936,541,311,011,629,654,069,522,
362,853,262,585,302,285,010,686,761,177,492,138,954,959,846,692,772,657,848,
754,113,648,747,329,812,854,826,925,616,824,755,387,853,592,095,732,658,792,
675,555,622,100,713,028,413,615,361,680,493,987,082,289,821,148,844,305,351,
348,725,615,413,861,126,297,556,090,274,242,023,772,732,811,088,787,622,671,
139,441,578,637,882,402,161,721,939,246,000,016,922,065,212,971,299,271,916,
055,458,007,511,419,596,765,509,454,106,382,359,552,221,813,938,132,855,291,
121,515,862,308,691,982,052,423,231,968,451,563,901,325,800,171,816,274,869,
679,840,608,274,860,561,096,933,698,887,663,694,993,301,329,101,576,543,427,
815,981,897,437,652,172,904,509,979,384,077,860,537,171,092,919,466,202,760,
139,649,546,606,098,325,867,968,523,119,823,466,099,430,260,222,506,048,871,
369,007,329,357,014,954,425,155,346,624,295,484,073,339,874,206,214,175,739,
901,838,750,505,511,604,793,519,754,321,376,079,364,972,327,980,848,456,866,
731,815,912,115,447,570,523,250,055,818,103,137,653,004,362,623,651,155,507,
772,858,436,596,591,652,227,875,330,969,688,409,651,185,709,460,741,593,652,
242,236,333,777,918,186,837,089,160,752,885,819,217,343,076,881,308,278,310,
228,944,193,161,480,205,743,482,888,056,309,035,657,657,191,766,629,258,479,
958,447,166,113,192,878,069,865,639,205,709,203,707,033,639,067,360,434,309,
397,082,574,805,775,373,050,497,968,990,885,580,278,522,976,235,278,064,077,
665,577,708,341,533,167,052,312,190,871,124,493,669,781,573,284,803,291,076,
461,949,810,695,400,854,636,297,826,037,984,932,348,939,536,570,969,269,624,
398,357,750,555,344,037,391,327,747,891,662,368,318,890,045,583,368,408,717,
817,870,515,192,252,108,371,504,181,385,952,494,221,400,959,945,305,408,147,
622,573,072,593,114,437,759,607,595,108,122,279,028,847,372,692,042,949,377,
275,692,204,452,114,019,712,561,862,959,322,954,021,040,233,170,663,697,742,
000,407,354,915,968,059,897,268,432,804,703,943,716,936,510,603,541,317,015,
428,113,757,843,340,748,734,254,065,081,491,510,090,338,486,037,232,112,558,
628,218,512,653,800,445,729,079,172,552,492,173,470,313,631,843,695,870,388,
368,073,431,480,752,952,589,488,377,615,997,806,788,279,034,282,077,953,292,
363,413,710,187,069,462,919,699,183,867,280,361,022,611,641,876,242,578,934,
759,563,566,536,824,119,920,452,263,520,180,361,054,090,923,893,930,712,503,
023,643,375,563,124,255,209,438,196,515,816,829,595,037,491,222,309,902,120,
028,784,181,241,936,346,196,575,116,735,801,088,310,385,921,024,182,639,726,
005,629,356,453,646,154,096,642,069,756,957,830,705,417,159,586,169,092,262,
010,035,843,106,219,538,309,154,032,441,886,166,339,241,571,047,911,151,456,
737,026,389,236,706,388,625,511,539,021,284,755,785,724,945,727,496,503,517,
407,510,048,184,333,357,874,405,801,955,965,829,054,501,527,601,607,694,894,
935,788,268,772,993,183,214,384,180,920,943,934,446,873,757,290,103,949,164,
187,926,123,999,190,845,350,594,467,591,813,701,433,556,012,968,121,685,117,
504,017,398,207,652,176,013,440,625,802,975,180,189,473,102,099,762,885,356,
185,136,408,225,785,519,805,782,765,616,936,167,076,244,852,906,573,175,949,
917,865,862,226,522,814,697,248,876,847,600,013,158,748,706,558,476,457,534,
587,525,981,438,843,392,460,009,597,390,241,865,164,352,845,133,445,421,660,
537,570,420,194,311,699,458,972,866,274,908,670,175,016,473,593,255,526,323,
119,716,852,317,144,060,558,482,236,620,815,498,175,442,300,284,208,783,819,
362,918,430,672,274,957,778,974,130,798,088,686,697,705,508,632,338,226,374,
020,581,317,770,544,245,942,507,962,222,319,215,999,550,538,432,716,137,517,
365,243,855,146,344,633,003,218,540,654,070,388,965,406,061,816,735,565,829,
361,310,186,747,894,786,512,514,173,880,985,080,955,651,057,844,484,631,480,
683,831,354,247,111,543,152,519,962,839,829,160,787,936,571,675,447,576,181,
407,105,018,285,489,557,705,489,066,767,913,282,214,354,135,059,249,214,807,
051,747,427,759,442,286,816,670,658,382,581,301,290,112,341,847,583,207,045,
167,334,310,210,123,325,466,189,357,409,335,993,975,490,467,499,658,496,338,
677,332,884,393,368,854,701,665,642,859,977,000,344,238,881,702,970,124,660,
717,440,386,910,347,006,535,907,149,001,311,541,725,964,302,899,416,539,211,
336,370,488,431,967,984,143,692,914,454,069,081,045,421,050,732,642,706,061,
367,954,699,441,774,148,790,538,806,541,902,278,073,879,204,392,663,709,025,
520,595,399,112,780,538,393,137,594,968,510,525,868,979,723,022,701,028,141,
105,245,551,516,893,571,213,977,758,491,688,435,922,320,437,090,145,240,965,
195,382,885,362,387,072,653,335,408,085,863,459,430,534,395,945,228,588,012,
875,196,342,803,763,821,795,234,687,883,370,679,200,798,373,733,703,080,946,
002,787,036,223,371,609,783,430,406,992,130,568,147,003,538,879,508,582,196,
061,893,956,146,542,165,884,751,437,164,922,986,073,161,348,763,609,100,188,
946,306,401,812,003,987,070,174,089,501,095,545,883,802,968,813,438,907,939,
525,183,974,121,982,671,311,328,360,127,883,752,274,250,496,611,015,542,201,
231,089,090,541,274,747,151,921,008,882,279,259,634,196,838,461,032,268,914,
303,557,416,218,503,028,724,869,252,164,972,387,955,943,680,360,291,522,817,
178,361,032,358,365,383,498,908,407,488,367,440,632,640,994,650,391,491,395,
559,391,465,824,061,811,381,230,261,575,685,069,984,848,792,143,015,794,779,
138,029,377,624,457,344,729,192,728,413,050,462,842,493,089,003,590,997,717,
090,003,233,192,014,919,509,171,888,241,190,294,327,934,692,345,240,662,695,
168,099,035,085,953,739,268,034,509,790,264,175,283,452,657,125,506,416,127,
940,624,805,937,727,289,791,025,879,607,836,168,760,749,340,786,519,712,658,
338,874,878,561,840,290,404,487,101,941,505,833,783,586,583,129,066,709,610,
631,217,207,301,409,188,778,392,421,777,945,549,634,478,426,641,480,727,463,
158,806,012,099,302,149,895,808,901,575,654,694,913,370,827,473,274,073,434,
754,720,007,102,921,111,879,240,329,450,439,961,375,632,376,936,777,003,945,
999,682,305,044,829,140,526,045,120,460,602,301,800,885,065,926,309,357,021,
810,280,354,983,855,532,469,331,661,733,168,296,772,361,978,150,879,443,476,
302,538,464,126,532,920,882,036,683,889,436,427,712,670,889,208,961,395,103,
104,610,639,673,105,414,787,837,915,447,424,054,617,749,714,678,107,418,964,
874,993,997,395,931,196,872,979,278,469,622,956,747,862,405,324,782,690,616,
783,294,112,166,054,906,180,031,167,771,114,030,479,712,845,501,399,123,814,
849,078,415,825,476,649,998,862,063,662,556,450,099,534,391,767,027,970,635,
546,179,589,204,771,183,620,749,289,731,086,262,568,330,924,236,566,903,971,
093,123,131,696,861,261,172,310,537,044,593,809,884,373,359,998,676,885,936,
110,607,862,639,561,080,580,860,773,842,981,473,087,361,473,072,036,076,425,
786,529,030,797,299,175,231,283,475,530,669,720,079,386,008,973,962,137,673,
947,887,620,484,261,217,835,461,007,606,108,383,056,000,221,045,230,971,189,
417,250,181,608,774,851,169,618,656,791,934,098,820,630,110,003,565,142,775,
928,768,042,578,796,967,777,643,683,704,693,144,767,566,168,087,375,338,377,
544,458,702,091,751,510,361,162,837,452,066,040,869,004,695,075,104,280,874,
011,144,915,030,935,115,168,839,286,469,302,834,192,606,115,435,508,927,200,
844,964,160,685,635,732,132,532,442,106,092,131,458,278,860,772,661,394,715,
620,669,992,651,064,935,685,900,938,058,456,091,392,221,336,725,633,562,992,
844,730,291,747,437,729,639,650,878,453,931,860,368,148,672,980,691,790,725,
813,062,115,164,149,810,796,758,858,479,936,986,765,563,796,409,248,801,926,
832,618,394,218,175,131,207,370,756,311,187,833,939,576,631,905,712,718,302,
624,250,078,584,119,366,271,998,669,156,011,438,783,544,204,509,222,763,172,
621,769,995,323,441,508,453,819,418,979,739,622,133,611,946,823,461,595,549,
651,761,127,909,511,627,583,133,983,583,238,003,175,756,703,380,642,344,580,
365,403,173,361,262,355,666,871,798,938,908,630,435,983,008,483,265,109,311,
334,257,453,934,485,657,161,950,342,560,481,227,357,715,653,038,537,993,787,
913,755,951,593,020,860,932,840,873,565,798,084,264,666,573,025,419,909,917,
662,096,210,342,784,242,036,044,325,945,433,062,562,505,493,505,576,453,720,
538,234,530,706,446,449,340,512,632,228,725,903,235,172,651,214,654,284,226,
665,719,625,574,392,991,974,923,950,756,056,649,251,480,823,415,367,544,347,
888,619,887,772,122,450,762,764,241,438,176,789,805,132,685,919,407,943,594,
348,143,849,107,687,721,441,223,341,691,158,854,696,644,733,794,049,810,212,
494,281,773,339,645,979,284,940,502,870,907,891,648,078,427,916,003,173,550,
668,128,500,472,413,901,254,017,897,962,333,214,257,498,316,687,601,541,894,
927,935,004,368,217,769,466,323,463,560,517,603,860,392,321,522,280,677,173,
203,942,109,014,222,200,287,853,178,990,437,319,436,046,118,271,884,154,784,
096,568,514,000,480,352,667,122,337,269,364,571,653,327,869,668,074,879,125,
019,358,797,700,000,442,078,523,094,107,669,405,039,005,111,049,977,994,517,
714,653,648,891,236,596,554,596,155,682,414,398,749,926,917,157,718,647,287,
572,732,257,491,136,864,013,347,567,942,173,755,446,949,070,822,101,621,126,
067,780,206,307,075,388,204,826,712,854,188,633,296,425,313,998,626,201,808,
165,965,130,019,453,377,142,126,134,314,981,120,535,213,222,227,097,823,701,
224,770,520,868,781,573,258,500,088,035,693,264,714,986,760,496,695,203,163,
701,187,855,699,363,112,723,369,879,704,748,401,463,070,405,887,299,860,320,
982,073,484,104,972,348,907,595,919,907,762,523,164,658,361,211,371,816,712,
698,591,227,248,411,447,987,262,679,080,713,142,727,448,359,004,293,444,752,
339,739,538,411,582,768,471,311,393,476,369,822,054,141,242,727,122,492,591,
090,815,311,379,882,190,983,719,004,609,218,700,928,380,993,958,317,186,648,
727,226,366,704,152,313,848,288,386,231,385,529,722,237,076,457,656,885,821,
438,129,560,214,985,643,536,037,294,884,936,533,449,388,252,263,764,580,506,
398,410,678,886,596,668,230,499,795,116,636,617,988,064,211,248,492,779,632,
504,866,743,313,695,145,883,123,538,778,789,620,232,963,861,869,979,598,795,
768,662,868,787,552,109,022,321,897,243,582,532,753,721,442,700,642,142,472,
141,367,327,863,501,992,461,737,457,203,428,004,679,731,508,950,802,630,229,
438,061,257,280,010,161,481,900,762,563,604,997,372,430,323,461,735,322,302,
459,055,366,687,487,665,757,187,700,976,013,914,276,017,771,060,835,535,179,
561,363,008,312,597,225,468,751,450,278,004,527,385,671,223,461,991,350,984,
904,118,865,150,136,302,256,289,053,653,438,696,647,578,927,465,234,598,407,
867,941,233,188,024,152,403,170,032,543,667,389,526,712,131,596,161,774,711,
183,447,542,242,056,285,994,698,079,851,123,323,383,658,899,628,223,329,158,
598,828,244,881,440,141,425,544,050,467,144,359,235,802,671,706,494,972,970,
493,815,650,091,282,467,351,123,855,146,996,160,537,178,160,677,603,499,394,
754,225,800,011,429,574,491,929,615,541,303,907,760,672,052,127,695,731,065,
726,163,599,888,203,969,195,401,662,541,783,418,006,003,337,364,832,891,227,
475,985,630,180,000,586,623,717,785,846,944,033,979,276,201,276,523,372,202,
503,244,022,960,781,396,108,523,620,330,132,155,442,053,098,319,900,845,611,
781,815,137,728,906,882,668,844,327,178,902,839,217,083,419,812,941,870,285,
303,076,918,350,026,683,427,014,976,640,742,383,096,563,563,829,131,089,125,
293,097,210,964,823,653,725,741,371,644,332,049,853,580,844,647,277,011,198,
493,513,964,640,816,491,535,218,839,768,718,703,251,865,465,072,585,472,158,
854,800,557,453,722,527,902,766,740,090,485,315,626,373,421,624,893,584,588,
645,474,110,642,562,961,484,940,555,700,876,748,790,657,959,037,062,442,523,
878,239,892,028,462,625,568,158,925,962,472,040,067,450,990,197,322,779,616,
460,945,689,071,668,795,124,770,606,606,291,392,172,297,330,260,256,054,909,
659,217,287,570,593,010,765,272,611,146,456,433,978,327,360,924,755,607,455,
333,442,996,033,181,107,097,731,203,003,806,627,245,151,689,604,589,981,256,
148,539,892,467,083,373,872,461,881,682,128,403,238,825,838,780,792,676,034,
185,014,970,290,463,976,504,174,036,379,289,038,659,524,137,508,582,634,218,
176,521,189,828,913,805,042,805,875,156,933,362,576,408,790,519,339,874,270,
677,521,236,184,095,767,928,787,434,714,585,110,310,484,923,895,882,572,546,
891,276,040,289,377,082,107,138,367,690,256,483,241,733,719,688,534,528,775,
485,455,358,220,615,872,979,545,594,363,638,518,330,470,973,322,754,496,600,
112,861,088,115,235,105,173,702,853,973,045,346,005,714,527,559,502,782,992,
768,747,069,840,585,755,712,851,407,133,121,814,479,977,939,620,859,616,552,
815,778,959,786,487,062,874,127,267,993,632,664,690,857,279,510,816,270,721,
544,490,240,503,669,427,751,953,022,729,396,805,603,453,790,506,935,890,972,
163,234,953,279,336,598,047,064,679,415,260,604,838,849,898,716,710,978,075,
518,840,298,455,634,479,322,384,215,141,182,210,872,784,798,666,659,452,389,
238,909,500,493,564,183,020,800,026,110,549,279,944,614,540,559,054,998,444,
518,779,087,541,813,069,740,245,270,505,619,707,857,774,334,347,444,962,267,
794,694,630,497,105,994,500,419,031,735,196,163,744,923,749,990,898,548,252,
777,913,148,767,670,927,237,485,780,948,717,778,707,970,316,416,405,301,373,
169,846,201,461,108,869,037,978,743,973,889,261,418,682,259,942,560,181,797,
093,994,539,127,453,098,597,752,311,941,514,582,987,233,974,293,162,397,140,
770,080,569,600,736,051,320,243,373,690,350,217,966,858,628,512,009,248,995,
672,133,364,464,738,121,934,766,408,480,474,931,086,964,949,485,810,665,275,
640,203,638,022,552,986,371,382,260,330,832,398,814,190,346,093,828,189,586,
286,943,691,997,215,179,576,545,187,815,944,733,944,462,769,066,069,131,792,
317,461,686,813,185,585,874,524,445,655,265,767,769,029,973,310,529,832,273,
334,217,558,892,507,721,578,176,066,641,092,616,211,167,108,617,734,706,253,
803,005,096,938,000,033,274,674,113,798,586,071,026,611,040,608,998,705,715,
932,651,266,663,464,051,674,574,018,962,322,361,118,374,490,321,496,025,018,
641,485,118,214,086,462,253,473,404,082,865,594,085,570,895,424,920,363,321,
699,984,849,126,126,961,062,049,734,014,595,210,846,221,408,881,477,769,829,
597,451,776,737,968,882,646,928,704,329,686,828,925,000,711,187,741,482,236,
808,350,537,282,368,571,905,136,964,833,965,566,357,793,602,273,623,443,467,
382,417,303,812,831,746,561,606,477,594,441,618,316,595,142,252,546,859,566,
804,860,597,576,933,947,396,176,504,138,648,218,792,227,570,072,649,233,928,
365,778,139,372,014,896,727,417,605,386,078,160,583,788,686,200,285,819,160,
256,125,464,001,784,302,097,998,275,109,995,254,569,977,442,051,214,525,164,
674,536,135,278,347,194,675,333,060,764,821,110,624,826,702,936,104,920,055,
651,622,275,878,437,587,524,067,944,329,739,540,378,118,582,009,858,714,896,
413,334,691,742,594,723,830,876,891,466,014,628,719,448,864,706,503,792,091,
949,920,441,953,253,327,143,017,736,084,333,195,754,025,333,272,642,678,568,
076,461,770,068,604,486,460,858,216,300,165,251,926,366,156,196,752,715,999,
285,288,199,502,606,776,846,098,472,874,388,085,156,883,070,084,308,475,172,
237,884,810,149,660,220,628,290,099,882,330,226,250,510,600,960,602,648,777,
659,862,155,027,073,954,151,320,526,223,603,257,741,385,752,873,833,398,034,
650,955,141,795,325,176,505,647,296,514,460,382,654,353,265,717,099,802,981,
541,985,740,747,964,415,099,149,423,571,368,022,764,741,903,578,435,610,572,
481,816,377,123,311,566,044,136,877,660,382,217,506,577,978,755,669,015,969,
104,797,166,988,017,120,778,968,620,822,257,248,980,319,110,964,112,748,368,
731,221,540,031,464,780,878,609,265,370,533,313,530,336,600,841,675,642,686,
394,156,871,852,897,756,211,941,765,988,206,634,737,116,549,600,042,661,174,
471,994,640,244,270,164,712,744,184,116,935,005,983,705,266,030,136,022,165,
063,413,865,323,516,732,383,151,938,518,561,899,076,105,669,020,823,834,540,
973,492,067,969,008,486,168,994,536,103,258,426,121,503,534,918,699,537,337,
223,858,152,664,428,965,931,177,667,630,170,213,945,950,928,857,410,139,540,
827,794,412,668,916,272,255,860,734,740,795,541,632,699,043,551,548,097,134,
463,734,173,908,376,489,169,909,602,254,294,297,327,037,315,647,687,522,489,
436,208,747,595,764,857,882,143,582,585,989,554,182,082,949,624,092,162,652,
741,098,798,977,707,532,612,918,216,699,335,501,309,051,561,124,367,527,843,
152,763,374,818,173,970,345,229,388,668,194,464,879,153,865,074,569,573,109,
649,696,864,391,511,529,525,132,529,750,187,208,507,340,620,256,380,159,650,
552,429,257,391,627,773,718,803,949,435,299,250,299,108,444,262,557,522,932,
768,968,595,292,458,625,871,628,890,974,081,151,879,942,525,434,061,870,539,
878,499,454,930,302,437,233,462,262,466,988,237,247,688,432,180,391,814,583,
966,244,774,893,949,663,663,529,563,418,120,056,896,045,112,205,906,628,035,
347,807,198,335,608,312,942,534,164,211,696,236,931,009,777,414,165,890,173,
494,128,431,804,052,014,746,759,450,206,686,493,631,556,976,023,550,227,203,
421,584,590,648,372,348,435,566,040,939,556,479,569,652,088,382,233,300,182,
370,992,728,851,698,217,500,010,689,642,769,460,273,189,759,699,844,324,132,
750,558,420,821,245,943,578,508,020,526,518,722,196,677,846,346,352,506,216,
958,870,838,243,012,687,220,422,721,058,579,890,587,140,902,865,354,560,753,
601,297,045,889,328,487,147,312,852,967,628,736,110,258,752,760,138,799,753,
075,748,748,084,366,220,853,077,051,098,469,147,564,936,694,171,869,490,437,
927,267,892,016,234,131,425,455,340,931,234,067,867,214,500,678,682,291,907,
799,367,248,176,604,552,850,292,758,779,099,870,211,020,954,397,552,390,507,
953,996,353,711,564,347,359,389,693,440,720,256,425,898,947,272,552,853,523,
525,374,688,589,422,463,475,879,672,593,287,607,398,285,091,934,165,638,605,
286,188,300,704,390,610,373,255,961,974,763,487,401,191,938,917,042,959,044,
494,735,425,047,261,560,683,174,569,522,895,465,888,825,301,879,900,318,635,
582,427,460,116,055,150,722,486,988,222,304,415,105,632,513,218,135,970,602,
401,946,597,602,571,986,555,277,495,142,126,186,610,621,937,322,050,251,612,
363,091,201,738,853,746,152,774,057,501,993,840,547,640,226,747,898,377,930,
048,430,904,340,564,331,798,750,694,850,404,123,074,519,491,756,157,280,141,
711,559,828,518,235,585,783,913,043,763,441,949,485,074,147,980,624,530,200,
707,415,090,296,436,395,326,994,488,645,599,467,987,349,008,618,211,488,828,
314,694,675,976,999,087,203,635,771,229,146,833,490,853,996,326,253,201,953,
867,473,471,463,389,619,692,464,189,326,567,508,606,516,418,132,214,542,084,
939,480,181,911,017,681,545,401,099,127,900,625,757,829,473,600,224,174,005,
830,702,997,909,804,116,645,249,910,470,558,807,064,868,292,822,932,821,069,
957,765,776,606,402,792,837,670,161,333,815,637,916,896,231,079,933,132,997,
278,847,258,996,575,921,483,505,674,903,323,389,358,768,700,486,310,954,324,
356,909,556,936,470,886,506,115,913,978,750,551,662,697,600,592,109,272,584,
828,899,533,273,340,789,206,588,530,911,515,840,089,448,722,313,691,459,526,
337,998,778,275,565,771,366,338,783,400,918,836,505,205,072,301,228,881,271,
062,786,395,131,738,370,433,009,370,088,745,625,625,168,899,716,208,733,259,
830,828,845,920,472,176,298,226,411,366,421,449,177,652,438,487,635,015,551,
225,072,120,704,251,098,034,072,721,328,443,287,310,100,942,606,992,849,838,
225,824,082,613,836,452,244,699,054,540,146,232,580,196,669,695,298,631,425,
806,902,356,089,270,676,449,082,577,927,963,894,693,620,709,600,611,418,899,
167,310,889,373,856,753,151,736,634,569,553,582,323,842,173,156,684,762,164,
133,984,278,870,137,422,252,446,001,483,085,596,205,168,140,535,674,678,740,
311,188,770,359,680,338,303,974,641,572,086,469,479,338,179,469,538,452,582,
697,927,723,396,395,127,634,673,207,911,162,820,947,258,854,684,948,982,507,
131,251,072,195,792,031,000,729,837,366,733,618,657,585,998,182,808,026,635,
227,360,086,059,812,117,436,055,557,643,510,994,756,175,333,944,637,911,608,
303,288,526,273,235,223,014,974,375,574,729,629,987,756,338,240,122,040,184,
237,948,462,622,129,456,811,983,488,362,398,422,656,009,306,560,468,493,922,
649,024,235,806,749,469,966,986,760,316,413,527,600,482,175,520,968,252,968,
756,769,614,328,187,597,197,274,316,542,613,638,392,374,684,689,513,649,036,
594,831,659,170,870,706,993,727,166,105,577,243,953,800,152,529,526,249,117,
853,371,885,207,586,238,374,355,600,964,464,503,046,604,117,374,834,832,779,
307,843,085,602,089,577,757,091,421,492,037,973,203,648,601,892,862,313,856,
246,381,418,113,614,194,559,977,909,767,419,068,537,753,605,835,344,930,220,
550,760,753,980,425,880,168,169,643,391,157,431,708,902,066,096,710,047,445,
596,327,124,164,515,574,028,799,853,630,340,510,523,864,878,430,281,689,312,
602,677,202,321,311,615,150,254,644,086,891,340,159,117,234,085,334,268,370,
932,872,068,981,130,335,193,833,817,584,883,055,400,324,822,947,330,530,888,
832,817,277,943,375,019,612,588,752,757,041,198,078,891,265,528,706,174,420,
791,203,286,197,025,482,632,399,823,184,820,456,832,066,569,120,245,026,187,
005,199,723,879,852,718,582,470,305,312,242,714,354,408,831,396,794,059,026,
556,001,220,026,559,884,565,940,878,349,108,183,327,189,144,112,027,387,312,
671,428,284,295,192,628,023,109,830,986,628,955,077,096,906,755,513,796,854,
389,347,043,125,075,626,153,920,423,612,796,953,677,270,388,664,195,446,550,
255,286,636,961,818,714,288,483,973,768,377,433,505,359,044,327,876,090,997,
534,499,793,962,733,342,715,347,818,502,241,776,528,463,332,038,243,711,948,
554,873,355,678,022,342,619,339,780,973,404,262,108,975,176,186,977,624,950,
525,473,143,037,379,564,917,821,640,175,585,722,168,132,703,869,549,949,219,
580,701,391,532,987,152,299,498,904,388,315,183,107,066,930,811,610,798,667,
491,298,523,738,974,082,451,304,739,597,231,583,206,883,781,658,341,429,123,
812,548,615,875,026,477,997,993,539,799,687,188,654,552,437,912,125,163,384,
865,150,748,480,605,240,555,500,221,128,288,371,946,751,978,820,442,099,587,
235,509,904,587,914,965,572,272,179,311,412,854,928,357,912,292,680,078,609,
423,147,636,527,110,849,029,118,699,843,612,205,489,186,307,680,965,801,365,
873,815,200,342,888,036,584,328,667,669,563,018,529,415,797,499,364,818,817,
320,711,368,253,290,487,976,185,650,989,120,437,915,431,227,276,608,274,181,
546,090,136,464,411,737,332,660,668,151,287,179,389,796,717,607,157,400,293,
775,598,860,514,690,596,886,192,994,892,140,620,654,039,093,230,669,208,652,
683,632,118,828,659,820,373,054,404,681,379,658,069,762,701,423,647,519,499,
508,637,356,104,966,306,734,938,955,933,362,925,038,938,215,174,664,818,282,
369,190,863,011,364,317,203,167,817,196,082,927,086,763,160,226,719,776,044,
555,279,494,477,266,827,185,490,841,922,694,744,939,138,279,610,251,489,309,
696,640,160,265,272,310,269,092,215,135,720,100,243,601,090,632,135,110,121,
168,712,425,903,130,105,025,710,928,666,909,914,935,934,436,819,051,529,638,
726,677,228,791,421,539,701,201,735,525,848,154,029,925,721,590,181,466,289,
136,790,004,168,202,762,089,699,272,803,983,226,322,497,829,971,175,456,728,
289,296,063,636,595,843,275,669,372,080,341,813,212,504,866,895,490,452,521,
199,942,152,385,588,539,066,015,848,024,883,467,814,549,421,766,108,104,541,
039,531,471,518,127,202,746,076,970,181,111,559,866,661,582,948,794,075,313,
186,818,118,616,516,395,455,192,075,257,662,615,087,358,121,718,299,977,519,
941,597,565,643,482,864,318,810,994,164,658,870,718,606,919,862,390,243,502,
910,001,906,221,722,149,471,554,734,684,661,288,971,213,363,977,396,673,417,
632,684,220,770,932,904,996,610,131,764,451,140,624,227,902,716,435,650,921,
805,798,210,767,276,238,847,325,265,034,333,346,363,035,647,263,014,472,849,
597,891,936,706,204,579,290,546,490,802,498,051,099,758,129,792,390,515,961,
781,994,390,371,405,259,559,735,009,456,242,027,256,220,196,943,190,617,540,
973,870,453,754,405,923,648,862,953,166,749,662,125,968,554,827,938,158,491,
090,640,655,418,320,703,836,863,550,609,663,215,950,313,385,724,820,675,483,
304,948,380,614,235,642,315,884,462,206,930,571,090,809,249,297,510,898,654,
880,254,683,924,626,439,369,010,182,198,902,687,677,259,699,033,374,218,775,
502,795,514,977,710,588,606,823,461,689,478,195,690,201,517,257,151,701,401,
922,542,574,696,483,379,033,985,163,891,945,379,854,418,661,792,050,181,445,
624,016,977,907,383,042,280,264,648,588,054,148,870,144,613,813,470,244,447,
186,387,888,495,047,835,400,133,460,563,481,725,980,840,186,768,943,253,608,
560,627,855,830,345,075,990,528,848,977,530,567,805,722,680,113,273,757,010,
092,672,771,218,472,326,130,525,255,736,780,781,813,688,032,007,670,728,179,
023,417,042,833,384,145,602,287,085,184,035,394,091,450,755,079,226,853,377,
446,033,643,251,914,026,035,383,789,805,640,943,867,706,459,927,202,636,096,
831,717,568,821,325,006,932,877,339,442,077,289,025,758,247,843,915,655,744,
891,023,164,999,412,820,529,967,101,293,608,747,436,599,073,664,975,061,936,
881,238,563,712,675,457,684,406,990,908,635,877,522,225,138,494,669,870,277,
748,829,700,173,661,601,923,022,974,871,498,683,757,153,056,978,299,659,888,
720,099,954,563,342,850,168,177,895,793,644,566,876,421,843,454,540,850,011,
182,318,049,964,357,606,190,212,397,002,503,951,379,242,559,248,186,195,177,
369,451,797,684,811,411,815,446,124,015,296,464,232,914,637,688,154,651,441,
363,815,329,385,760,296,983,373,198,843,160,842,714,195,660,601,932,007,559,
328,445,140,874,713,104,533,619,915,738,627,445,637,136,923,891,893,521,138,
183,895,483,198,211,752,959,644,545,616,120,043,387,278,737,072,687,947,608,
349,454,234,458,303,096,648,075,052,240,465,051,125,462,976,076,411,365,024,
011,322,007,429,651,770,088,974,510,699,362,519,248,716,385,152,829,245,161,
685,830,465,118,879,978,883,578,501,757,155,278,077,554,955,800,231,023,294,
572,350,550,570,032,226,971,294,555,072,168,852,843,948,127,767,186,553,196,
861,574,187,765,027,423,882,867,982,511,986,243,397,072,984,599,818,814,155,
090,626,794,457,375,070,041,704,720,394,487,608,671,492,693,848,725,505,350,
959,198,161,826,042,352,102,604,297,870,527,985,979,444,785,891,633,995,160,
214,753,522,049,649,827,908,493,201,075,687,385,953,286,475,186,686,457,330,
336,786,778,591,325,058,069,822,605,191,104,795,139,779,523,132,773,823,868,
429,176,529,714,492,350,493,271,641,876,172,803,889,039,067,530,274,978,326,
868,709,703,147,237,104,131,331,979,630,668,617,280,615,096,494,319,974,022,
080,323,398,112,912,699,068,707,320,258,598,750,379,881,825,242,193,648,638,
411,488,114,232,000,996,154,712,626,263,125,041,735,833,506,992,521,147,200,
640,748,391,056,622,055,696,532,547,587,433,244,609,308,444,625,378,693,311,
618,188,346,269,244,175,964,509,072,613,694,745,692,465,013,299,750,197,946,
717,514,039,306,488,516,876,490,546,491,030,019,355,202,589,042,124,762,022,
640,889,263,300,287,270,504,659,586,377,266,103,564,263,296,899,657,987,164,
441,145,414,273,124,618,465,625,600,914,851,238,680,888,807,380,306,487,824,
443,969,482,875,888,255,630,296,471,877,734,804,947,009,905,894,651,733,689,
269,643,032,533,772,425,341,986,692,153,760,515,502,883,157,999,553,419,642,
096,210,463,375,140,548,749,375,716,473,463,391,213,822,552,407,455,709,123,
651,690,045,716,481,686,453,875,023,465,900,657,805,210,343,415,678,685,042,
949,042,848,715,888,273,018,704,743,842,530,033,984,362,956,644,473,131,492,
440,122,594,737,053,641,919,971,166,984,334,092,552,610,075,560,687,406,218,
476,781,482,523,895,031,963,872,466,819,373,641,084,242,740,728,883,611,533,
817,049,588,797,705,470,182,879,965,632,427,024,394,495,067,936,338,424,941,
336,535,496,630,918,155,878,124,860,343,455,472,131,512,823,289,474,063,218,
142,171,078,514,881,499,597,199,806,342,070,960,239,426,279,850,323,609,818,
169,025,509,972,647,025,356,746,753,717,843,127,178,598,257,634,843,581,753,
973,101,513,563,134,599,806,945,741,981,258,460,877,936,134,944,714,200,106,
166,684,567,292,323,695,274,138,995,463,434,383,674,316,070,281,687,592,447,
598,829,384,994,200,264,264,345,672,755,001,989,979,952,942,727,728,953,947,
454,482,956,666,397,631,308,122,572,186,100,849,913,752,220,440,112,545,812,
927,894,244,412,270,377,629,796,982,025,755,254,077,861,631,404,147,793,272,
414,491,223,963,592,487,531,579,279,289,063,804,950,088,184,554,482,998,613,
409,093,265,877,005,009,216,107,438,469,802,616,833,714,464,987,206,636,573,
842,078,052,244,188,901,199,592,739,382,277,700,074,065,362,517,069,055,112,
169,466,748,848,430,634,947,254,897,675,429,716,234,692,414,355,215,300,400,
089,755,578,822,279,794,099,508,974,711,006,952,015,454,888,626,087,253,923,
919,096,888,387,833,580,318,532,157,814,399,761,797,669,505,259,174,009,810,
776,215,673,666,503,637,952,008,073,492,194,900,440,501,508,655,203,672,160,
890,231,490,997,382,474,431,635,485,631,395,901,516,372,846,122,675,060,805,
208,282,641,723,785,306,376,092,419,378,475,565,671,106,496,134,373,067,416,
318,772,413,977,193,714,223,915,445,857,078,801,127,319,659,120,640,368,856,
124,556,368,356,625,568,299,551,752,290,356,287,844,192,703,583,244,017,731,
687,796,338,366,330,561,475,854,516,524,265,373,429,004,926,120,637,042,175,
016,238,092,968,582,742,545,450,596,303,021,885,151,114,985,129,837,341,370,
745,247,803,632,704,758,681,989,708,737,894,185,642,021,867,499,670,086,282,
808,189,639,009,856,701,787,011,085,781,897,872,090,429,452,701,815,037,373,
607,004,214,753,394,511,702,393,664,777,999,940,351,301,822,074,562,692,406,
133,361,216,836,019,882,268,179,280,369,106,658,280,982,885,456,858,146,740,
110,495,989,009,099,170,762,322,782,252,547,162,048,014,091,643,262,912,065,
880,191,923,489,938,117,685,190,134,792,566,400,454,957,034,633,798,143,441,
605,893,339,982,463,871,075,207,817,708,071,999,703,791,105,218,195,075,859,
666,292,641,533,851,005,652,206,723,739,428,468,888,614,035,431,137,394,628,
978,253,360,811,467,408,017,050,581,143,871,552,297,462,778,563,499,289,872,
083,647,315,567,771,284,322,998,751,955,251,231,284,440,120,034,160,617,841,
895,570,703,050,231,952,842,552,942,674,330,971,616,468,742,284,328,721,921,
635,909,551,835,266,442,871,129,328,921,901,137,117,704,162,908,407,695,239,
135,025,853,406,645,140,634,300,033,387,192,626,092,667,882,200,594,045,070,
396,644,932,342,190,061,309,734,003,120,515,068,205,337,235,418,251,148,151,
942,057,763,907,012,678,275,045,835,598,843,096,238,886,028,607,193,933,857,
796,953,200,010,920,215,485,459,034,580,169,679,298,481,458,891,454,052,257,
093,601,085,566,619,462,525,045,635,128,083,407,037,838,759,423,528,808,200,
672,406,867,113,791,082,454,169,934,370,070,284,779,930,308,365,396,226,405,
869,580,302,908,644,946,866,342,579,137,047,150,074,747,116,157,180,332,150,
676,511,969,690,887,243,683,813,620,038,538,268,381,268,106,810,285,045,720,
146,017,123,735,259,120,064,328,845,178,442,797,597,836,282,945,220,155,857,
623,068,478,054,141,969,795,044,746,864,745,850,083,493,340,607,039,603,548,
538,652,421,559,326,491,848,920,381,309,965,772,768,249,477,454,866,092,072,
217,472,216,780,155,602,518,972,109,000,894,246,719,715,544,761,939,496,016,
161,034,789,717,338,066,842,973,956,718,379,721,406,618,812,022,486,822,733,
158,782,110,518,978,539,679,487,908,087,651,415,345,173,812,145,610,873,253,
172,137,037,846,376,865,440,067,432,446,165,568,739,376,668,747,838,986,238,
976,695,295,390,832,369,984,664,836,870,778,735,373,928,413,039,181,848,910,
885,406,342,946,235,428,765,983,325,308,164,851,615,573,183,347,789,982,843,
763,440,204,109,145,560,700,075,016,069,634,522,345,515,971,260,567,528,548,
122,161,335,722,214,231,207,464,089,596,772,230,931,292,373,286,306,140,578,
636,697,277,745,685,566,615,632,367,618,123,158,683,226,955,846,141,615,582,
477,487,513,579,500,543,980,025,599,495,138,702,380,380,989,257,774,202,640,
806,916,034,716,278,026,034,086,334,303,584,383,735,153,948,867,668,570,488,
984,582,842,682,068,965,640,452,882,105,988,831,822,432,980,788,982,240,111,
302,097,352,662,155,974,342,963,999,775,439,684,803,532,173,199,169,657,629,
331,181,480,136,053,098,046,487,682,083,644,353,030,647,957,648,010,941,520,
854,701,413,889,402,827,615,113,456,561,167,187,911,850,421,189,617,941,217,
177,461,704,686,468,102,470,720,044,181,583,519,040,738,901,808,714,683,910,
258,213,077,916,316,857,608,584,014,041,655,436,855,280,636,118,236,307,218,
735,624,643,925,139,264,090,918,504,792,635,758,156,696,998,232,273,549,000,
222,110,593,741,134,160,794,398,153,079,281,809,141,225,465,201,654,814,853,
923,131,938,597,680,222,614,629,632,609,467,167,941,779,823,725,371,704,911,
934,226,671,007,485,976,331,560,533,554,717,961,528,615,673,867,720,879,937,
629,963,193,545,795,178,698,626,949,508,605,941,470,325,665,479,984,046,717,
535,676,392,816,955,060,776,704,040,710,175,503,553,918,013,436,802,658,484,
297,110,958,590,328,891,501,490,384,320,116,649,122,067,654,610,648,491,542,
523,238,028,662,297,446,968,790,885,179,633,205,983,722,045,754,902,922,419,
148,628,088,054,813,064,622,605,964,972,849,172,172,587,701,316,177,731,051,
371,863,848,739,264,367,207,967,011,923,240,567,592,166,060,126,877,863,265,
771,795,831,419,567,156,842,082,131,137,281,131,223,564,607,088,254,209,909,
403,925,760,648,352,738,888,911,888,476,974,406,039,296,528,188,302,118,309,
980,318,073,132,565,642,765,741,774,672,893,609,483,861,166,438,118,686,683,
805,308,829,186,375,532,010,163,915,835,000,741,532,411,962,303,698,867,390,
750,040,623,049,397,989,113,326,963,488,254,800,114,427,809,110,943,146,165,
182,665,629,497,630,248,026,914,133,998,479,936,663,138,387,336,514,757,427,
034,900,914,792,920,416,692,793,579,425,245,258,279,878,620,308,568,238,393,
494,231,365,962,266,029,241,881,275,658,065,161,528,615,926,101,845,432,342,
497,007,524,522,022,038,832,270,880,162,002,506,026,336,454,026,936,151,570,
210,503,355,899,049,164,608,435,573,059,524,893,156,928,430,370,220,433,285,
154,089,878,619,138,286,728,974,093,883,894,487,650,223,893,644,929,062,806,
275,185,879,347,048,602,427,455,094,329,543,676,330,492,546,590,956,417,001,
318,587,898,499,691,059,610,600,760,887,104,730,602,474,735,768,342,770,058,
011,557,905,580,169,555,227,740,031,356,746,765,825,446,420,993,804,391,041,
409,881,092,368,715,667,226,259,561,037,115,849,000,312,718,706,204,773,723,
965,974,603,057,928,789,121,302,327,840,368,693,966,476,887,962,916,424,475,
429,666,210,571,839,019,369,067,281,061,764,773,773,971,885,574,364,075,112,
758,654,240,372,785,633,389,019,320,400,248,430,781,398,761,078,690,344,440,
764,145,497,286,082,119,179,153,106,644,769,752,620,915,159,920,050,865,495,
394,954,688,475,207,794,447,335,482,020,387,865,903,200,443,985,300,212,284,
938,685,532,167,496,199,060,039,300,696,419,216,016,693,522,966,590,386,059,
093,416,989,431,805,731,292,654,892,837,518,196,450,270,289,340,656,173,350,
099,678,876,248,566,962,970,491,414,648,418,277,917,385,458,025,642,176,905,
678,720,385,630,359,386,033,068,389,949,758,488,070,580,306,577,866,899,667,
674,783,672,593,333,254,971,590,326,786,988,803,099,707,825,678,527,000,199,
565,203,144,766,005,607,109,823,856,290,656,268,252,159,037,640,287,637,206,
668,915,493,356,534,433,448,578,762,097,798,107,294,852,457,463,796,422,162,
861,344,023,421,517,406,325,434,817,859,285,525,546,617,959,363,817,046,142,
944,886,096,550,215,910,719,423,978,789,886,059,254,762,677,534,607,767,631,
437,270,571,869,337,797,200,652,408,269,304,778,375,994,218,822,299,136,860,
230,813,669,160,317,936,182,980,888,490,115,932,642,095,847,749,740,534,974,
129,399,417,331,412,549,776,855,417,331,014,313,225,787,822,680,477,996,424,
976,548,382,187,600,792,266,530,215,650,854,871,499,484,623,477,673,113,366,
699,413,317,655,760,547,259,985,745,148,877,610,090,106,288,600,636,787,068,
986,353,239,017,690,881,006,731,733,339,421,875,068,155,193,743,384,024,223,
298,422,318,611,035,510,724,937,401,017,801,700,655,962,445,962,084,326,534,
091,977,576,645,231,677,635,895,950,607,812,131,385,999,634,616,154,165,663,
090,556,639,016,563,340,968,112,923,879,310,476,160,607,543,517,996,740,468,
834,500,690,189,111,006,187,917,666,862,894,049,143,881,406,930,278,537,639,
598,748,546,837,973,276,205,684,384,533,967,215,833,295,106,439,064,354,520,
206,317,182,949,622,403,818,026,068,252,630,188,895,785,519,295,274,104,808,
258,018,597,974,510,129,659,528,177,256,321,130,406,112,037,441,627,345,175,
907,298,501,270,355,627,619,674,915,072,041,308,615,772,031,009,631,937,193,
448,847,891,520,308,201,579,710,109,872,288,381,294,637,101,737,343,387,706,
341,411,466,866,196,297,343,501,061,912,694,489,729,732,753,966,007,069,593,
512,078,110,858,760,752,837,422,932,298,789,713,994,513,821,471,896,982,302,
644,979,119,098,504,453,866,795,421,450,092,971,031,282,889,327,576,149,488,
583,850,470,752,309,800,017,289,155,217,350,457,024,895,534,877,061,255,683,
459,732,951,845,151,679,102,234,834,185,657,260,961,457,225,688,452,363,028,
153,915,644,035,326,083,475,876,835,786,886,683,316,742,677,242,082,177,056,
352,015,159,666,360,270,670,169,357,397,496,818,039,588,085,646,690,890,043,
638,753,596,577,929,263,091,098,893,348,983,569,649,185,295,892,373,294,531,
536,912,474,611,626,304,503,878,756,741,924,868,111,886,088,641,144,146,517,
837,131,650,515,479,167,998,906,949,059,497,230,960,784,063,926,859,698,646,
116,808,626,058,789,336,142,846,599,346,379,771,990,376,029,873,189,446,637,
262,132,288,304,204,802,849,596,400,320,059,112,830,807,980,973,313,267,064,
102,010,372,626,225,282,794,419,618,225,446,827,863,314,376,607,284,655,858,
111,413,327,154,853,678,990,954,305,182,254,524,435,863,146,844,112,387,198,
564,054,135,179,665,988,666,971,045,877,984,010,071,420,663,640,541,541,635,
466,329,745,421,753,033,205,200,655,109,133,811,020,801,355,060,954,949,759,
971,602,180,625,239,172,449,479,817,568,622,163,732,688,999,768,104,980,564,
464,131,347,233,455,830,538,322,390,129,715,961,616,306,229,171,642,192,425,
571,644,678,041,742,287,068,514,275,112,776,079,056,592,196,613,955,247,858,
166,917,789,348,284,135,649,808,392,647,539,060,572,858,301,543,124,712,158,
671,414,379,064,865,614,251,131,155,879,550,572,725,094,856,505,427,574,934,
090,486,001,293,834,367,871,550,923,719,949,004,553,815,704,217,887,689,540,
528,706,010,601,650,995,279,027,389,451,582,968,027,096,979,760,442,338,345,
535,814,918,698,665,676,943,201,152,113,676,306,062,354,827,148,065,259,176,
158,321,396,645,735,588,998,961,816,974,611,812,579,725,406,817,855,101,229,
973,720,019,332,382,727,628,129,543,457,595,176,777,184,448,612,862,285,519,
711,790,752,957,459,647,750,335,170,035,050,637,516,405,314,159,512,494,682,
452,576,925,812,798,750,462,982,265,292,638,324,099,017,475,177,451,260,571,
529,801,077,321,037,246,188,171,478,291,241,987,247,640,942,827,160,334,874,
759,459,018,152,801,117,943,228,750,598,264,956,020,347,712,974,325,699,271,
333,501,798,094,862,780,217,676,444,649,772,285,718,576,984,785,931,662,684,
905,482,680,547,261,382,667,355,366,607,784,254,875,939,658,539,282,940,133,
030,238,151,050,764,422,072,848,873,826,902,853,387,407,825,217,746,075,551,
975,853,310,779,926,398,323,525,368,241,862,411,619,373,931,152,505,736,942,
819,987,262,622,554,394,899,452,631,266,406,211,592,469,793,724,814,350,679,
308,745,513,112,038,378,553,612,391,396,495,559,511,448,006,912,694,648,366,
662,521,934,405,430,202,551,867,225,361,050,995,681,949,336,474,191,945,613,
032,919,935,922,508,462,810,353,383,211,929,457,657,557,642,176,663,886,169,
120,669,114,631,007,845,563,745,409,604,639,247,754,434,037,933,612,522,467,
558,380,143,389,445,127,077,801,951,044,328,994,468,642,306,969,481,220,558,
954,910,084,077,227,328,007,258,253,559,489,143,032,681,865,469,720,288,925,
337,313,640,300,014,756,171,926,865,321,105,358,115,959,961,289,507,723,473,
806,950,025,615,819,419,960,052,353,725,074,098,028,385,065,647,042,481,948,
218,786,924,807,968,266,785,602,103,744,646,325,186,481,644,058,763,113,995,
066,317,302,409,047,835,063,551,849,496,735,639,685,065,889,039,324,711,314,
015,185,048,729,908,009,157,580,426,254,696,000,159,603,654,955,951,512,164,
325,625,207,872,444,517,704,205,335,435,792,144,151,523,337,998,913,760,429,
437,500,003,496,618,059,084,852,100,027,314,167,356,845,694,131,537,958,505,
198,862,270,251,636,111,196,858,845,907,860,417,219,543,344,811,492,600,063,
918,451,664,888,717,041,174,272,328,744,755,941,637,333,395,247,002,192,573,
302,255,791,468,048,906,172,872,667,689,658,288,811,051,135,061,127,302,061,
248,275,324,222,850,502,636,417,844,452,850,596,574,189,970,938,494,492,254,
580,013,458,091,441,887,498,783,206,954,957,238,406,109,444,341,454,999,921,
744,130,251,339,946,967,531,612,905,992,266,279,801,459,906,999,131,730,512,
084,159,544,907,629,015,815,725,531,435,506,807,252,330,485,657,976,962,014,
510,185,469,939,797,136,849,658,162,115,224,296,646,544,091,877,714,965,726,
003,156,679,989,825,776,397,547,326,759,161,654,745,536,508,890,018,222,532,
002,205,842,702,765,988,852,178,368,537,327,605,985,506,097,235,008,752,721,
907,726,863,105,718,703,509,545,485,329,399,420,382,357,078,377,304,817,250,
466,912,444,301,808,105,275,254,396,706,728,433,723,168,406,278,439,528,451,
272,295,548,113,448,017,796,729,112,277,379,703,110,940,722,923,598,453,929,
552,791,925,818,829,882,882,084,315,535,254,898,051,361,414,645,101,975,540,
588,450,330,796,478,790,324,438,658,667,618,397,808,598,006,019,506,434,271,
199,431,939,513,373,946,097,675,292,980,389,137,941,979,267,488,669,028,154,
786,969,078,325,702,846,577,412,616,676,706,522,969,235,444,397,761,573,080,
478,292,727,726,149,405,416,734,901,844,690,692,928,401,812,046,567,491,536,
083,188,115,546,500,629,849,254,656,051,555,167,340,741,907,512,225,434,136,
796,619,346,237,893,057,463,333,539,900,176,302,795,750,706,420,274,196,375,
950,738,207,450,328,067,679,741,652,474,842,243,920,445,377,671,267,015,859,
644,267,780,016,016,648,439,200,322,934,995,441,785,085,417,880,221,139,954,
198,678,052,844,218,178,219,392,656,836,113,577,380,425,237,455,471,952,595,
167,041,602,681,593,299,917,590,396,522,717,875,469,940,778,853,008,268,261,
664,170,753,522,284,161,069,752,758,844,840,682,712,678,484,234,463,897,457,
326,932,614,913,553,495,782,111,954,619,691,688,857,889,487,363,505,452,230,
720,078,111,351,117,643,643,275,567,994,085,531,932,957,514,922,485,239,733,
064,006,956,681,070,672,887,602,939,703,951,581,066,245,406,017,213,480,659,
040,847,978,471,178,437,660,582,283,557,499,075,056,071,743,670,633,016,423,
713,505,706,432,739,220,910,278,608,132,501,935,858,084,356,760,240,519,034,
740,805,043,987,554,912,225,581,843,844,745,781,959,676,897,274,515,064,886,
901,336,573,975,394,147,203,323,985,179,429,087,510,088,232,384,935,250,090,
362,368,234,214,944,424,835,630,017,480,516,063,815,192,004,434,813,200,401,
975,214,491,021,469,405,847,780,363,075,148,550,887,463,709,011,029,248,383,
250,350,764,238,105,461,562,868,139,755,898,586,823,733,876,767,210,902,999,
542,462,597,217,020,251,520,106,835,427,650,254,686,688,382,142,300,920,615,
147,894,172,281,913,482,216,572,733,967,253,538,885,108,150,836,830,333,709,
646,238,087,082,862,783,641,343,163,063,880,784,918,448,257,763,221,642,290,
966,687,418,720,320,869,922,430,968,552,181,893,629,290,830,029,360,293,602,
613,312,183,025,957,051,711,804,795,137,857,302,460,185,744,250,364,797,036,
449,585,515,101,282,505,965,755,111,682,949,367,856,352,775,714,966,186,152,
417,498,294,362,606,211,127,393,084,483,813,927,093,441,347,973,427,194,176,
003,889,407,097,359,719,940,010,677,775,705,712,670,637,840,270,946,425,909,
055,302,545,057,250,742,299,515,667,966,887,726,432,855,827,254,409,891,926,
606,300,148,384,792,283,100,815,004,300,543,700,738,374,245,235,962,125,641,
148,635,547,514,077,080,951,200,117,070,027,117,714,334,142,339,754,736,504,
052,937,852,511,045,731,938,888,937,437,439,880,555,519,574,149,699,635,514,
284,962,055,614,602,972,503,831,729,974,207,173,808,117,567,834,682,085,660,
529,769,973,569,227,885,509,446,942,772,377,071,759,003,281,857,439,524,701,
302,894,867,534,753,216,790,797,967,374,959,167,236,940,625,876,211,955,983,
264,126,418,578,777,844,369,010,615,448,546,851,672,798,068,025,674,126,636,
301,029,941,131,971,203,008,295,750,541,314,090,616,400,169,197,048,751,906,
586,616,384,432,806,881,883,204,993,538,621,170,933,355,665,599,204,852,650,
066,868,784,715,320,724,129,944,689,456,718,271,722,000,641,081,786,206,350,
737,296,312,062,963,092,687,907,281,925,705,780,316,473,117,596,194,775,925,
175,046,198,609,328,219,978,800,116,351,920,577,112,956,147,291,775,638,186,
693,812,730,022,283,653,577,389,697,260,567,695,368,546,711,747,248,637,361,
656,882,660,693,128,859,216,918,290,053,065,388,687,610,880,487,910,899,980,
537,372,964,837,261,973,153,165,769,198,983,888,190,563,655,862,861,140,774,
651,609,030,754,434,308,821,026,503,248,632,286,352,006,637,161,078,925,710,
132,810,111,322,197,107,266,422,364,442,707,271,761,511,310,782,433,084,679,
724,411,111,807,264,183,797,745,449,384,832,825,447,677,426,954,641,391,291,
867,852,332,181,174,024,100,391,658,826,492,526,467,320,730,987,876,247,201,
409,837,265,634,771,053,595,386,890,083,960,406,136,750,536,584,587,984,658,
713,487,472,211,024,287,072,303,525,775,680,102,871,190,835,215,597,491,620,
690,082,100,896,943,149,183,457,020,101,578,336,687,586,443,627,697,392,015,
038,689,232,805,084,220,234,643,078,322,118,011,655,963,458,672,708,124,162,
461,481,335,918,601,551,571,677,616,184,236,454,350,681,183,740,192,511,033,
400,232,209,008,646,018,830,410,162,461,634,553,817,088,192,675,731,176,036,
874,929,925,677,324,263,168,106,182,148,914,759,582,676,681,037,446,342,352,
105,311,466,157,413,072,976,730,720,814,280,953,839,173,423,698,635,223,470,
223,437,015,905,674,599,486,188,926,467,247,027,851,575,200,210,552,123,462,
538,516,055,655,951,208,044,858,133,094,646,844,610,658,136,866,235,410,355,
240,687,804,338,111,941,329,552,190,840,802,906,876,805,248,892,696,600,827,
735,004,816,070,573,582,210,123,207,176,764,708,070,887,866,405,739,158,186,
779,332,165,405,173,173,754,422,817,352,103,210,907,727,158,789,300,068,912,
233,391,312,070,618,147,845,914,865,203,595,207,045,518,149,146,910,103,663,
667,995,408,037,859,236,864,144,881,490,132,903,165,798,970,181,148,345,565,
023,736,674,643,461,849,421,546,003,722,078,601,810,061,193,581,684,772,890,
073,168,058,097,913,141,784,019,140,821,585,272,032,779,752,517,563,989,850,
518,736,076,572,263,117,671,762,942,808,976,423,616,576,594,463,893,203,486,
004,846,100,042,144,418,733,921,062,756,289,350,392,834,996,255,102,502,104,
773,208,855,646,594,622,119,320,030,284,017,285,401,811,653,891,836,810,145,
049,039,074,943,410,398,575,344,683,332,754,704,628,124,417,819,383,342,692,
286,455,972,288,267,722,849,666,744,977,707,698,623,940,129,734,656,447,367,
674,591,985,122,756,871,150,741,205,477,280,631,467,004,488,667,463,459,683,
936,748,032,124,340,968,206,359,200,144,593,962,173,758,558,434,632,128,431,
420,510,411,818,845,686,650,473,154,860,781,706,829,190,042,021,855,112,520,
138,840,495,635,907,752,249,380,963,317,770,309,499,882,851,337,810,663,694,
127,690,938,107,890,593,215,307,813,634,880,969,737,038,870,270,011,838,404,
574,902,738,090,847,625,433,682,758,686,340,393,714,779,036,059,906,102,858,
028,050,389,941,429,384,376,494,585,180,630,400,894,433,053,604,389,652,425,
916,680,652,150,159,119,819,750,593,012,503,704,039,858,793,721,745,524,384,
781,468,536,330,334,466,593,393,773,486,849,122,920,166,648,568,805,604,908,
552,893,369,722,224,430,226,033,092,282,687,460,036,517,423,284,229,556,478,
544,748,205,234,315,587,614,473,459,273,694,355,663,498,260,851,104,545,451,
648,103,947,743,600,151,608,918,572,162,245,567,676,048,833,640,924,695,205,
890,454,887,410,360,772,490,995,533,992,222,014,421,109,511,257,605,524,951,
228,503,088,352,593,572,061,881,068,057,763,571,675,586,391,988,810,647,592,
776,277,720,410,729,086,545,181,946,683,214,489,882,871,070,051,266,914,104,
737,599,929,113,933,437,013,725,758,277,339,923,319,997,270,928,499,010,524,
392,309,656,786,374,673,976,747,117,044,868,613,619,627,662,886,226,863,888,
762,364,826,542,394,357,716,095,073,861,565,280,279,494,947,580,932,252,145,
736,513,164,754,234,402,496,614,182,042,544,925,133,474,199,576,899,048,446,
095,271,362,272,534,463,675,937,641,653,882,590,056,875,895,498,102,738,764,
694,739,837,643,199,225,862,071,754,766,681,870,945,106,967,173,081,036,674,
721,912,726,429,094,592,015,342,074,910,541,664,551,924,362,112,649,414,227,
477,568,650,404,803,091,107,334,555,401,552,535,507,949,492,449,409,146,095,
872,142,683,282,824,019,328,916,722,799,030,084,730,511,913,567,120,027,042,
958,847,558,272,999,000,750,572,651,571,643,269,821,330,985,080,613,256,493,
649,440,131,447,960,984,207,311,532,486,045,657,818,208,434,321,966,859,285,
659,507,146,167,166,101,834,474,396,077,129,291,417,758,203,416,674,943,476,
053,154,730,956,597,361,255,614,453,635,481,055,722,613,128,997,669,516,546,
635,199,751,947,660,203,139,807,805,386,481,376,651,078,705,772,396,591,730,
290,360,889,715,722,569,489,942,609,887,545,871,680,867,205,325,508,152,308,
670,346,778,120,617,482,477,970,378,252,636,405,430,322,354,814,202,768,058,
654,691,003,010,702,115,136,609,052,230,223,450,228,287,086,574,202,599,491,
359,303,942,821,147,991,308,447,775,714,770,903,497,823,305,170,360,125,994,
778,065,176,512,907,889,902,216,138,557,304,907,686,929,648,898,090,887,120,
335,631,880,046,082,376,163,046,744,568,371,821,889,561,497,909,036,757,032,
322,490,252,465,775,707,174,769,458,481,972,213,226,277,331,218,870,241,568,
796,157,710,263,799,358,173,804,377,595,730,203,679,765,089,221,014,318,567,
855,483,108,754,710,463,039,607,901,072,556,981,376,324,540,481,783,703,081,
937,053,550,863,431,912,798,634,530,730,725,706,041,393,222,468,848,319,298,
116,000,475,073,254,031,677,446,351,097,352,170,622,217,320,969,210,428,924,
736,708,541,880,506,285,602,928,384,956,959,390,393,832,535,574,312,438,133,
671,867,408,549,549,679,045,400,858,501,357,245,807,710,858,675,733,943,896,
443,147,239,873,607,127,521,870,877,487,552,559,502,816,143,492,352,801,556,
777,566,339,273,089,997,192,036,489,968,828,816,478,121,059,251,482,966,253,
211,412,752,549,126,911,790,242,486,224,629,420,680,054,940,554,769,308,556,
005,696,443,933,182,723,047,256,143,780,359,373,108,983,220,947,703,563,694,
885,800,702,862,255,708,182,260,045,313,964,598,503,289,719,626,857,131,833,
357,570,344,557,559,719,171,497,896,577,056,255,589,862,232,676,688,979,131,
784,228,230,076,383,960,994,239,452,969,384,373,425,129,620,154,015,606,747,
624,374,297,774,998,563,093,607,349,090,583,906,468,056,509,059,049,212,141,
988,059,812,856,330,342,959,174,341,849,687,509,547,666,113,233,130,196,073,
618,825,330,481,644,022,865,000,171,947,094,561,134,790,785,878,560,067,804,
683,016,587,083,520,099,850,360,813,093,854,260,255,555,693,315,235,097,416,
300,022,230,364,124,172,495,913,374,638,850,543,229,565,054,058,900,863,705,
134,056,899,758,742,529,214,377,293,638,846,657,627,403,421,021,614,496,795,
188,671,079,715,181,745,109,456,566,617,396,773,075,112,740,846,834,734,681,
415,187,846,144,641,260,476,026,122,768,383,136,264,678,474,145,131,696,450,
997,843,669,249,723,440,604,077,615,266,207,785,834,500,102,272,796,285,328,
089,169,720,452,092,075,571,006,657,072,217,970,765,717,185,667,724,372,001,
976,865,272,294,441,471,095,866,742,833,776,144,323,428,766,942,465,279,661,
928,422,385,812,757,569,479,682,234,669,772,333,603,551,918,052,699,061,191,
050,525,979,322,046,092,532,904,609,814,670,266,284,937,453,099,794,842,686,
095,687,139,570,210,586,083,697,801,441,284,714,043,155,603,717,852,903,624,
038,540,832,544,800,945,185,444,909,928,853,721,965,614,371,839,102,601,581,
424,601,034,950,988,366,340,890,055,960,921,277,873,707,812,045,358,837,315,
391,343,754,135,981,190,328,894,212,739,195,615,409,366,058,921,778,471,630,
909,743,188,651,850,724,816,037,564,350,753,283,212,780,688,084,202,283,227,
660,927,516,509,385,387,915,416,163,785,737,171,039,510,711,804,200,345,270,
026,423,638,710,020,737,163,634,662,648,319,194,813,595,038,390,794,692,946,
453,293,434,113,318,297,273,633,994,606,402,983,803,221,164,316,895,485,319,
835,610,756,645,351,999,668,892,730,823,749,208,470,542,041,723,858,328,555,
317,506,460,032,312,202,281,880,927,774,594,728,804,615,568,490,567,302,046,
713,603,228,767,285,631,599,928,958,324,418,175,280,085,470,880,896,414,189,
502,692,968,636,843,770,784,850,812,831,468,592,096,234,923,343,819,802,107,
569,268,225,804,853,287,727,154,270,118,016,964,832,499,378,744,923,833,198,
930,945,433,569,046,226,317,389,255,579,537,055,388,798,926,681,633,050,653,
432,440,880,882,562,936,981,699,960,573,156,645,170,084,238,203,556,094,143,
091,727,984,411,256,013,992,791,683,816,352,386,031,717,168,664,624,755,350,
203,805,354,219,230,475,333,559,105,038,013,487,228,180,021,931,432,466,296,
536,943,250,308,373,528,313,398,568,778,098,272,629,912,004,470,314,503,667,
002,847,371,843,722,355,777,400,745,386,762,065,593,908,738,249,619,504,790,
212,989,693,427,579,606,048,061,825,331,147,653,849,179,134,901,770,266,790,
186,162,046,543,302,585,878,325,896,986,244,213,575,121,120,851,377,533,375,
218,751,138,650,518,126,674,015,367,537,339,413,055,240,186,285,336,870,838,
933,074,870,417,844,011,002,957,695,704,962,099,053,225,764,208,476,498,908,
439,934,442,683,608,902,201,108,294,569,139,342,579,475,858,845,527,793,264,
010,698,316,086,217,785,323,825,297,261,506,284,104,972,779,071,650,772,043,
922,549,178,654,782,309,541,740,311,689,336,022,461,760,953,534,407,936,561,
395,510,245,043,435,029,439,878,350,453,022,914,628,503,419,335,347,942,550,
241,933,374,623,657,637,941,925,306,653,322,380,753,255,266,414,240,811,679,
440,448,282,660,752,996,918,456,935,047,449,914,582,079,759,911,024,306,983,
776,014,457,166,469,188,764,814,433,706,323,636,354,076,847,870,505,297,939,
383,390,645,450,182,499,440,457,285,136,613,666,266,581,650,702,960,968,956,
490,124,230,861,357,717,612,944,781,944,632,567,767,287,372,910,449,781,055,
768,594,316,761,508,023,167,403,614,199,427,166,543,208,604,813,157,518,309,
505,250,556,688,459,529,048,513,202,991,723,982,390,636,570,222,954,222,378,
312,970,430,333,985,277,741,027,840,614,581,349,391,078,299,896,505,229,367,
551,092,135,926,715,812,843,237,186,909,686,689,354,139,100,492,997,774,816,
264,959,585,328,989,348,786,712,141,365,413,298,699,475,640,230,545,158,371,
100,963,038,847,383,587,750,835,237,157,741,810,034,526,155,693,061,494,604,
663,080,643,808,942,573,150,892,978,797,727,407,585,509,846,091,144,732,890,
505,123,420,936,441,159,498,318,130,669,173,595,235,421,871,272,040,658,372,
158,171,136,779,475,553,633,438,462,563,824,088,418,167,748,257,882,035,688,
209,374,182,092,953,713,239,999,302,454,862,891,946,476,017,774,305,329,340,
855,932,664,276,400,127,274,650,525,571,851,006,359,263,346,183,848,067,618,
023,911,077,674,725,764,462,899,078,993,396,873,723,670,122,086,887,328,012,
315,090,185,003,703,655,967,084,750,131,458,774,240,422,440,902,799,618,028,
441,105,615,629,092,180,170,084,446,537,605,822,179,428,759,699,734,990,143,
651,584,932,012,435,689,265,557,625,420,163,646,831,038,731,544,174,903,153,
522,517,604,880,518,116,621,139,099,495,199,092,399,027,855,074,873,929,045,
538,920,835,804,187,671,272,623,579,277,164,140,104,026,655,673,512,252,659,
689,161,279,519,008,592,524,675,100,987,171,074,469,252,857,014,011,684,283,
597,022,373,888,369,730,780,404,827,270,599,373,192,182,544,309,622,699,742,
861,606,739,245,632,585,917,970,747,129,958,487,321,663,454,392,196,775,813,
125,130,365,999,776,631,601,218,398,901,581,408,513,969,070,252,827,636,570,
750,827,665,215,964,748,667,786,303,477,831,536,021,765,330,096,674,476,997,
911,176,200,382,285,938,482,485,237,174,467,187,367,171,375,233,667,715,046,
800,623,409,963,085,446,840,242,651,397,886,472,887,989,262,927,722,957,500,
918,951,882,771,010,186,528,672,676,697,607,554,890,285,022,589,422,868,105,
278,688,727,440,616,966,754,657,571,272,713,063,294,643,018,460,144,000,387,
151,024,392,121,154,311,057,296,496,725,635,275,843,752,968,101,694,473,313,
795,008,428,708,517,264,293,163,342,217,776,382,661,939,338,564,088,442,783,
299,195,090,871,383,125,617,078,829,623,317,497,218,644,594,431,335,984,734,
398,304,022,685,548,868,265,354,612,877,149,757,498,796,057,623,046,153,000,
524,402,152,490,948,219,471,697,135,770,024,389,663,824,400,738,478,748,885,
686,399,338,451,679,781,605,263,263,221,144,740,397,470,048,735,951,137,343,
587,530,008,173,737,049,544,521,084,810,166,392,625,932,907,199,051,000,669,
688,313,110,284,788,807,183,141,604,290,539,531,797,180,175,233,381,207,320,
608,695,052,207,182,739,190,695,037,136,703,434,860,365,707,915,649,643,082,
632,515,070,445,815,970,666,545,273,737,325,804,022,289,940,027,150,056,644,
394,576,785,645,825,888,869,178,192,027,728,058,468,208,414,125,123,815,947,
323,733,622,820,430,111,240,460,127,666,131,729,680,106,364,278,020,920,902,
785,615,234,140,647,130,777,875,075,606,841,196,009,530,311,245,332,249,397,
889,177,009,282,380,219,858,689,043,286,165,658,529,087,838,881,364,773,905,
877,558,284,614,198,681,561,385,767,176,983,257,258,540,167,897,180,072,477,
785,391,463,362,515,334,442,289,511,716,497,649,850,214,225,247,813,291,695,
122,908,137,328,338,282,570,158,892,269,235,226,741,494,833,111,438,921,419,
674,843,236,203,997,465,012,865,784,262,635,173,340,538,046,649,337,195,150,
704,867,057,075,338,482,568,775,020,627,096,148,452,281,142,283,826,161,765,
816,776,465,857,534,461,968,046,659,495,193,603,277,815,194,119,277,261,265,
727,950,601,025,126,433,944,824,591,195,158,407,112,056,523,908,212,952,226,
736,187,955,732,509,681,377,858,234,184,396,048,598,795,316,986,960,595,761,
015,645,278,121,640,173,119,193,994,367,975,898,011,196,313,527,426,014,233,
464,692,887,755,543,168,398,371,394,448,048,000,856,998,946,719,358,660,568,
796,345,831,642,127,680,331,613,409,035,931,943,330,362,518,236,999,508,831,
110,409,019,816,583,560,575,505,447,833,985,221,656,702,954,515,917,195,472,
154,106,971,345,216,971,193,494,949,621,906,412,490,616,460,082,330,760,630,
831,783,422,187,983,644,447,670,148,725,149,665,648,214,854,121,505,178,511,
169,136,870,227,435,736,292,653,760,933,200,520,979,654,102,773,633,133,423,
184,657,319,829,296,055,012,237,506,533,051,731,029,955,987,927,952,495,931,
470,456,558,939,070,515,468,730,701,974,290,593,521,963,412,500,515,307,545,
538,532,864,476,942,099,439,308,100,549,025,758,031,060,739,249,045,248,696,
314,533,331,794,826,617,637,140,330,774,737,229,810,812,718,575,306,181,355,
252,468,157,799,614,614,166,493,933,030,844,590,733,917,190,944,554,739,685,
720,897,667,257,119,404,290,270,125,598,239,355,610,120,299,325,268,250,540,
657,924,372,313,090,678,768,573,067,696,184,330,099,123,305,486,956,831,949,
019,130,289,397,306,889,958,317,864,170,186,393,708,146,766,953,516,900,288,
238,141,726,066,460,586,446,130,476,044,569,659,544,328,728,060,374,696,246,
735,645,156,926,378,723,560,984,746,033,444,907,705,237,514,375,231,761,237,
188,330,618,881,121,023,908,024,279,276,339,341,949,168,249,804,549,881,428,
050,555,839,844,454,366,064,088,838,633,064,535,805,923,237,179,705,634,303,
300,451,030,544,038,013,548,694,033,964,186,321,723,696,285,462,855,181,355,
633,917,130,578,638,030,306,100,238,100,047,151,227,132,084,299,668,277,921,
361,860,109,933,150,054,275,406,741,789,990,978,906,757,805,216,540,610,871,
673,033,721,008,245,528,337,101,900,328,351,427,167,645,589,861,861,272,082,
860,617,261,381,649,964,500,045,751,065,540,860,653,652,776,104,181,456,879,
158,544,531,270,675,378,947,013,915,697,767,417,232,908,541,499,995,865,009,
531,959,158,198,695,930,197,744,489,822,288,916,330,528,774,305,237,958,860,
780,607,099,384,866,487,879,517,504,483,958,259,448,577,790,193,200,508,983,
067,829,824,380,321,552,372,980,870,194,011,776,449,067,029,653,944,981,783,
004,858,932,639,229,871,407,206,866,475,472,638,518,177,272,148,958,988,029,
861,757,311,159,279,926,718,305,658,096,933,586,590,948,370,040,226,066,120,
007,997,173,089,889,214,129,400,641,173,690,265,514,413,274,416,187,076,428,
150,802,718,279,228,604,129,848,670,908,177,089,314,069,696,987,963,874,613,
982,314,315,478,894,231,414,071,503,986,462,119,270,914,444,529,022,762,817,
596,969,348,525,939,531,843,435,209,389,725,760,566,848,899,621,465,892,429,
776,107,271,867,406,797,955,503,599,510,154,018,173,885,402,801,307,100,613,
822,336,082,223,302,470,522,127,839,903,581,825,146,381,798,267,564,861,180,
969,592,622,105,173,304,719,516,265,682,711,166,798,520,029,944,192,626,860,
050,611,247,955,482,142,211,348,547,857,571,779,807,023,493,748,023,723,552,
634,275,745,664,765,930,962,193,120,578,799,180,642,967,005,776,735,496,208,
790,734,826,823,143,229,256,223,999,382,754,772,121,638,772,702,351,033,097,
105,350,532,411,517,956,263,480,736,901,239,606,639,278,168,383,715,451,077,
499,662,245,655,505,418,808,598,702,563,660,618,578,609,226,746,300,791,797,
112,910,492,042,576,551,196,723,911,776,942,222,499,553,400,731,064,263,379,
400,723,849,311,301,383,785,916,015,728,250,206,720,100,574,467,778,257,465,
627,601,702,443,038,534,526,065,883,795,812,666,026,084,536,377,534,748,360,
137,382,695,647,046,836,927,448,628,341,218,411,344,321,987,709,939,680,854,
716,098,207,822,958,022,107,321,201,636,865,018,358,428,559,604,483,401,962,
631,039,325,026,604,196,218,440,166,477,029,412,339,171,615,262,630,720,785,
315,103,152,606,260,666,370,501,070,607,258,392,871,266,481,770,199,057,368,
207,758,465,841,592,564,129,712,577,444,730,578,868,671,964,327,223,361,069,
353,897,072,992,801,507,643,117,136,358,077,972,675,935,058,517,945,245,291,
114,618,876,479,906,552,018,148,120,158,416,585,079,994,581,699,532,133,180,
581,178,429,660,515,145,686,135,609,753,990,484,676,566,605,871,658,181,760,
932,417,301,042,579,197,624,192,079,828,399,763,524,323,069,339,149,554,363,
024,885,612,497,009,110,599,707,094,820,802,069,822,350,793,730,787,790,376,
393,547,204,202,674,194,582,877,745,282,713,329,524,514,330,000,269,716,818,
290,154,721,084,309,567,626,495,637,277,988,205,947,889,833,124,861,499,758,
381,428,322,837,742,982,922,618,301,322,958,608,016,636,826,387,418,592,196,
740,316,891,760,813,391,936,038,580,471,977,614,782,828,969,465,677,927,452,
385,264,961,473,789,927,982,454,667,256,890,641,573,680,161,815,498,911,443,
409,350,439,432,617,675,484,501,394,105,485,696,733,616,174,965,350,300,643,
038,075,098,725,248,203,563,886,866,553,940,375,372,707,375,556,127,879,210,
113,244,867,250,212,050,066,589,452,716,601,977,403,163,670,962,057,936,750,
817,749,914,687,135,733,092,468,524,521,121,384,582,316,590,905,433,224,074,
769,324,630,127,959,266,146,113,700,143,689,856,691,587,435,833,643,856,368,
462,172,086,513,393,750,404,956,846,000,096,827,011,458,375,301,127,851,903,
345,514,032,838,176,784,540,634,789,170,481,574,436,550,170,193,905,545,925,
405,867,958,813,080,212,713,798,990,869,969,090,594,490,606,594,264,784,684,
400,736,897,465,990,240,482,916,322,339,472,378,180,019,344,212,803,033,458,
777,108,193,823,715,607,589,427,710,739,419,234,815,322,800,001,058,349,318,
756,077,027,526,032,317,816,123,723,435,803,152,393,713,083,412,579,280,874,
025,562,997,236,671,120,322,712,912,712,049,074,252,711,598,679,996,489,074,
184,118,120,266,397,761,596,265,017,314,190,257,998,179,599,035,087,555,959,
931,262,015,513,034,683,268,424,370,161,516,036,720,906,285,794,836,613,050,
156,348,584,157,549,848,961,426,036,231,688,984,852,799,883,412,753,836,279,
972,750,037,883,907,000,394,002,593,760,919,792,270,374,070,588,315,866,219,
821,326,424,831,335,412,405,575,175,791,368,971,489,028,635,158,324,953,385,
655,312,446,336,558,117,195,544,390,157,705,843,103,029,687,175,425,674,483,
542,112,516,370,442,484,458,278,873,919,143,734,325,760,220,946,678,256,595,
888,057,841,778,454,200,140,394,221,631,524,816,276,785,561,548,779,503,217,
536,974,374,264,860,495,130,863,324,602,808,142,651,683,607,397,331,482,092,
681,015,316,018,560,986,279,395,877,531,941,188,938,669,747,710,380,481,028,
337,252,182,503,684,231,058,412,412,346,827,017,737,455,372,923,457,430,819,
220,234,622,240,408,871,313,439,960,730,194,400,092,414,889,309,879,455,638,
780,608,806,450,927,323,984,489,527,184,185,191,823,380,978,229,832,612,825,
760,294,960,980,664,590,556,743,957,942,301,382,090,838,873,178,494,635,409,
613,837,464,758,887,316,813,335,764,592,749,926,553,065,954,079,259,621,750,
710,890,624,548,502,072,971,895,563,750,595,494,532,467,036,411,721,329,549,
931,441,622,523,990,481,269,964,310,793,196,912,210,859,387,132,435,143,977,
295,545,056,071,982,865,666,173,309,993,861,959,322,807,420,943,412,236,401,
146,728,580,977,367,413,087,940,771,332,725,843,500,662,628,875,682,448,742,
079,683,451,077,195,069,409,474,633,690,709,256,600,399,974,813,115,411,276,
374,271,188,487,496,671,104,519,392,477,104,882,090,506,690,799,904,040,955,
444,493,273,529,371,955,696,590,275,549,876,417,435,050,109,644,909,814,717,
331,075,485,705,896,458,221,333,650,905,412,874,376,206,409,687,076,695,708,
338,065,161,074,153,780,953,056,509,451,521,444,178,402,502,626,167,654,791,
632,929,952,555,180,884,015,265,094,485,561,622,104,465,168,607,581,086,639,
022,784,036,901,926,626,487,011,314,512,125,110,712,946,607,910,387,868,130,
908,736,096,196,237,901,301,734,497,785,029,892,808,102,556,070,140,512,188,
029,542,303,652,992,465,294,493,028,323,358,900,368,821,423,984,065,881,918,
917,994,285,972,601,338,197,851,665,291,554,094,999,777,817,057,406,440,931,
333,101,913,265,651,470,865,640,078,154,623,483,670,058,129,674,876,460,664,
388,226,953,132,999,381,096,120,546,621,909,162,386,788,652,094,692,822,707,
655,942,073,066,283,894,852,737,537,204,715,726,425,008,820,007,975,862,226,
107,068,111,676,727,186,517,483,744,955,941,149,701,666,109,370,357,177,632,
608,155,731,548,287,611,361,117,778,453,215,835,152,436,288,708,341,442,323,
343,769,163,025,553,315,874,616,225,686,445,852,528,581,202,598,804,318,468,
801,060,613,606,603,825,013,084,690,673,279,968,485,296,094,036,958,962,523,
434,065,592,607,250,958,364,132,941,368,442,554,361,292,103,242,434,379,881,
471,553,374,179,242,402,095,735,621,935,204,712,033,950,711,311,511,688,874,
374,472,696,882,293,916,474,806,432,759,944,198,576,062,267,860,792,704,757,
157,743,124,954,284,297,599,857,954,126,187,360,599,397,706,227,970,835,069,
657,699,656,375,920,225,798,808,252,954,650,633,926,546,814,605,148,532,190,
012,431,098,717,883,640,656,783,735,647,656,273,883,397,685,004,492,527,887,
719,585,856,618,220,314,060,305,876,897,851,322,416,458,922,445,402,862,883,
801,183,376,880,875,850,119,255,293,300,059,721,763,449,263,920,787,291,919,
346,903,948,888,769,095,611,109,241,061,296,507,242,033,007,707,552,018,167,
951,614,648,768,158,969,267,711,621,493,771,958,580,574,633,150,666,248,716,
377,081,231,428,004,786,209,361,274,952,337,271,430,041,199,942,462,925,396,
628,062,282,581,808,202,189,676,514,352,599,607,500,716,731,651,686,011,903,
960,622,669,783,795,008,934,584,644,036,906,973,214,159,639,909,993,914,319,
355,218,417,613,524,251,572,691,330,448,169,839,673,109,295,697,466,824,075,
849,539,730,789,144,229,966,368,441,148,777,918,465,855,656,957,518,871,442,
847,828,915,095,192,797,894,103,783,188,137,491,974,327,965,459,709,417,290,
850,954,357,559,003,543,083,803,698,132,727,974,935,545,347,434,978,794,283,
847,135,045,437,900,939,654,514,721,387,130,819,423,011,533,992,087,506,127,
316,806,837,732,938,398,059,564,783,905,456,491,171,989,903,614,293,935,476,
335,363,775,085,339,598,354,877,280,082,440,316,651,327,812,146,838,569,649,
149,817,484,850,705,232,325,642,420,243,892,271,698,416,383,531,808,470,667,
099,624,336,875,388,728,378,107,558,815,653,948,684,631,437,619,181,752,055,
896,832,953,283,620,434,055,568,349,839,114,055,863,511,644,384,511,133,165,
925,585,774,240,113,672,537,119,713,881,007,506,702,029,086,920,999,335,767,
207,127,250,171,448,438,576,338,966,157,774,436,117,652,498,569,109,681,556,
812,667,344,471,845,914,764,923,013,849,427,340,698,304,729,044,485,207,635,
418,484,274,267,413,764,846,051,264,098,048,523,791,109,275,940,690,885,317,
121,620,982,109,784,976,702,083,243,863,399,675,784,809,077,321,504,102,939,
103,981,391,515,662,225,971,226,906,037,612,651,632,867,052,265,556,245,308,
056,854,923,071,643,737,275,705,905,555,846,867,524,316,275,955,863,835,032,
815,713,266,466,708,957,891,238,197,887,348,435,052,700,623,298,888,506,211,
694,022,561,395,940,587,519,219,467,148,921,453,717,770,070,054,082,058,026,
774,594,070,188,619,053,374,097,706,390,532,009,115,461,050,979,621,827,492,
804,118,274,595,980,341,136,077,180,670,670,149,448,406,645,235,264,433,777,
649,733,612,063,223,803,962,189,038,292,837,978,678,166,731,264,735,504,676,
884,486,598,895,419,896,980,562,456,297,597,371,578,720,535,067,161,398,967,
533,286,666,825,633,461,319,541,110,544,076,607,961,165,090,188,056,225,157,
954,630,583,407,484,958,440,192,122,257,951,174,013,010,125,100,094,648,289,
944,923,902,713,672,075,521,285,455,049,697,043,763,088,883,980,736,429,981,
664,460,759,749,932,443,801,813,120,583,942,093,200,346,832,418,033,740,708,
070,923,888,530,606,536,949,877,448,591,382,697,522,240,390,673,879,641,028,
977,083,614,284,121,796,582,962,896,929,842,281,675,253,199,139,952,112,951,
670,854,239,782,402,279,924,271,061,232,097,715,933,083,694,912,251,464,137,
604,191,816,079,379,383,880,126,672,548,198,292,906,387,782,098,734,062,200,
128,122,162,049,395,428,200,353,689,737,889,321,723,539,677,640,280,587,983,
516,518,070,858,439,222,717,193,954,489,190,735,651,883,449,923,032,320,155,
834,013,421,108,358,108,367,577,511,835,962,067,289,207,494,901,460,460,042,
292,243,961,347,788,779,977,320,605,494,060,744,996,042,847,174,096,669,441,
103,819,784,178,610,789,206,654,859,328,401,653,021,304,079,933,849,446,860,
456,573,184,482,157,986,334,123,737,029,322,342,539,912,691,711,633,842,024,
132,750,673,604,943,119,872,687,542,188,193,912,361,562,594,941,469,515,505,
915,924,740,821,713,800,207,304,189,406,968,405,577,583,759,052,048,351,712,
846,134,281,636,381,081,343,642,857,729,653,821,035,277,085,029,600,261,147,
032,866,764,224,141,025,248,190,403,236,368,585,788,988,392,270,414,682,433,
847,551,472,067,040,146,473,871,232,065,655,098,073,029,381,775,915,087,197,
988,480,560,344,062,900,967,658,434,383,917,134,777,693,458,621,674,895,095,
720,707,306,300,030,497,818,600,281,225,679,665,772,198,121,617,673,562,470,
487,775,213,173,895,998,488,107,199,865,145,397,511,571,501,857,605,985,643,
981,171,325,438,295,097,527,563,755,750,590,158,345,197,199,161,382,338,473,
035,050,043,857,444,282,755,793,455,021,900,236,040,938,216,005,574,984,358,
765,664,624,368,195,790,104,620,709,612,791,273,085,017,069,368,183,495,616,
749,291,240,775,727,951,057,624,399,882,582,308,153,912,373,329,955,432,794,
136,764,808,442,412,745,322,201,446,567,618,397,032,758,219,017,476,695,006,
501,468,602,429,668,670,093,378,748,551,065,373,293,235,132,067,678,193,243,
844,037,755,465,167,663,234,952,725,559,910,042,823,745,936,356,836,277,108,
912,827,491,859,764,597,979,234,210,302,938,236,646,750,062,360,404,071,528,
054,722,010,464,912,724,910,988,314,162,011,786,451,404,868,338,237,114,764,
875,747,245,255,820,317,646,896,962,953,061,824,794,805,919,816,581,651,615,
051,842,338,620,561,941,224,397,995,412,831,409,583,182,859,661,120,365,974,
847,213,554,449,878,241,223,674,502,016,737,362,953,390,784,442,960,151,573,
600,536,404,497,553,372,695,451,752,891,745,113,023,929,448,274,827,801,415,
499,601,114,487,034,596,967,529,826,026,086,322,416,421,234,951,277,262,412,
915,022,270,941,888,681,050,538,075,511,191,071,360,565,413,329,678,667,760,
459,771,715,637,763,449,416,696,842,753,278,179,648,279,694,414,294,134,710,
886,765,173,920,998,501,764,866,930,363,851,481,981,663,058,711,592,028,939,
706,626,308,463,681,907,544,142,135,492,085,249,835,894,741,769,626,147,039,
710,471,565,495,397,831,972,783,292,898,787,322,672,000,032,237,711,279,698,
357,339,864,829,069,789,987,858,257,350,256,248,406,307,380,958,347,558,674,
494,877,910,716,453,476,640,225,162,814,065,327,453,267,109,445,558,461,271,
366,824,573,192,271,867,031,348,810,441,002,843,876,416,528,292,896,538,849,
322,400,350,488,047,097,823,511,286,684,973,790,689,616,231,911,791,082,979,
621,558,791,611,155,561,563,790,484,111,728,340,861,390,707,708,083,603,391,
559,514,247,984,490,076,129,160,953,939,331,276,121,584,621,224,522,975,959,
185,591,048,506,394,874,390,796,268,534,553,307,969,961,414,313,766,296,372,
753,751,053,323,567,621,954,681,816,815,287,052,648,168,233,666,152,067,429,
822,707,500,139,591,475,604,335,910,577,600,932,713,352,174,716,757,177,557,
880,864,427,498,202,232,716,444,703,288,193,794,144,019,693,431,587,645,594,
395,627,874,990,022,292,063,282,162,881,798,845,080,075,568,845,058,906,714,
998,365,111,658,386,542,900,562,551,211,225,862,457,012,739,009,776,467,979,
708,105,543,217,666,963,464,409,782,411,541,646,100,906,136,147,528,552,226,
523,957,013,329,707,502,925,991,706,068,657,053,996,485,372,480,935,729,749,
661,285,841,742,288,440,424,722,912,056,329,242,404,803,257,567,028,438,701,
230,042,827,494,364,014,515,803,717,972,465,733,573,460,348,925,033,061,546,
778,958,073,359,863,392,659,187,069,500,588,424,148,769,122,019,286,733,057,
817,497,942,343,967,802,392,938,108,685,248,385,091,986,164,487,328,998,703,
596,219,543,208,829,372,202,877,391,706,490,097,328,773,042,911,672,858,138,
099,752,670,205,026,477,162,929,291,122,973,309,201,190,950,806,016,103,619,
934,843,823,839,973,320,173,204,145,575,317,684,390,438,610,501,010,075,830,
110,566,269,940,344,777,501,841,958,907,292,900,371,506,002,249,449,658,315,
279,330,438,505,619,605,656,036,276,927,097,323,144,585,629,486,135,379,969,
186,475,117,056,252,450,620,047,842,856,593,302,283,630,118,278,961,997,990,
798,045,224,381,474,633,110,664,758,992,092,637,846,112,816,631,180,319,049,
127,384,347,177,287,536,506,287,693,692,901,561,386,904,256,708,013,033,682,
303,517,374,829,747,150,221,117,944,023,263,442,282,205,647,612,883,005,360,
133,443,028,382,363,106,314,401,391,655,190,804,641,733,822,139,284,059,446,
078,769,464,331,224,866,056,478,131,997,822,579,772,434,786,785,187,134,585,
147,802,334,275,502,714,059,233,252,590,210,163,768,334,955,595,077,033,283,
123,707,727,924,535,627,085,597,107,258,519,239,502,068,086,955,894,103,038,
003,278,938,410,997,900,118,977,105,372,958,842,585,736,286,181,019,658,739,
988,800,148,598,987,351,042,731,095,741,773,336,352,744,910,087,755,551,634,
229,515,673,002,678,910,895,225,723,443,739,057,643,774,210,524,205,791,683,
384,642,115,228,006,340,373,154,279,540,585,147,462,104,895,035,116,611,292,
443,209,227,668,888,395,482,625,294,328,746,983,482,853,929,687,578,097,702,
812,005,184,952,388,518,659,079,356,645,614,165,106,228,116,767,088,936,344,
594,606,615,292,745,512,997,533,263,189,602,518,964,824,623,746,294,061,245,
904,624,919,547,696,877,070,096,601,574,450,597,685,506,062,443,814,685,893,
359,348,954,701,420,097,152,730,181,586,807,855,090,091,732,571,587,341,132,
694,324,959,780,529,096,133,804,677,419,333,935,659,767,977,044,680,871,952,
732,745,646,772,883,520,272,510,609,203,936,570,400,025,098,607,078,093,907,
705,543,358,633,974,137,223,988,843,341,057,889,372,699,538,240,392,699,277,
093,812,892,698,204,846,810,670,995,508,721,309,403,040,935,859,717,527,243,
344,252,421,931,360,514,879,611,451,730,364,764,442,167,037,971,121,933,113,
675,134,697,054,637,844,401,679,537,843,449,641,987,901,529,137,601,820,707,
996,829,358,485,470,877,062,142,761,259,586,857,235,721,148,672,057,221,767,
928,370,805,296,147,092,942,638,965,232,294,311,084,482,425,367,159,633,312,
477,934,570,560,678,117,070,272,292,236,024,034,112,195,760,497,104,013,360,
068,354,765,480,327,914,189,136,937,668,299,915,751,050,058,090,143,199,363,
821,131,793,864,524,146,595,941,417,573,171,296,932,910,863,347,200,981,989,
974,853,055,692,155,739,767,086,215,443,911,096,987,814,065,722,498,209,580,
079,657,908,800,663,964,813,785,545,954,630,207,656,396,829,705,586,393,699,
115,584,647,579,132,225,963,205,575,800,274,568,651,240,783,753,935,475,955,
235,832,165,833,569,223,056,823,569,837,095,945,418,167,569,860,585,658,265,
547,046,910,373,614,049,927,577,913,384,025,344,500,472,603,361,039,159,436,
062,447,087,352,264,218,577,478,392,196,343,007,699,358,277,238,436,089,820,
325,045,698,434,534,242,505,461,823,898,028,295,395,188,690,308,946,043,537,
666,102,418,330,240,489,702,187,471,079,137,379,251,322,022,939,688,106,861,
924,577,173,439,871,741,228,241,010,972,323,628,951,432,248,194,083,975,044,
343,519,792,935,034,846,617,934,807,995,773,558,076,383,421,928,173,573,471,
902,456,050,827,054,322,317,780,282,635,607,911,845,879,460,363,080,492,943,
411,039,901,369,688,473,325,618,949,861,366,648,948,234,570,541,246,603,238,
027,374,628,635,129,737,863,729,890,876,351,075,388,763,315,471,166,980,853,
554,888,616,968,859,459,788,409,704,915,451,652,028,163,043,559,908,516,212,
644,234,229,304,844,123,997,790,704,132,352,861,879,142,808,435,479,484,137,
434,760,281,782,943,387,224,164,818,934,521,628,926,639,748,345,900,526,889,
697,314,505,529,770,103,923,649,713,589,174,504,868,772,551,738,133,034,779,
683,316,227,545,909,475,345,628,696,640,538,864,957,610,268,225,217,651,061,
659,920,706,057,878,842,895,522,668,082,221,603,053,341,883,811,964,700,634,
378,215,049,836,941,380,349,698,709,838,258,439,631,033,643,369,029,601,427,
278,884,195,258,780,557,827,171,310,934,420,564,118,185,657,999,793,008,597,
336,979,523,224,067,669,404,228,377,504,042,387,943,532,945,934,833,176,973,
289,299,399,866,030,714,341,223,968,276,239,089,397,248,979,134,852,596,953,
275,761,459,197,784,918,978,874,285,515,286,423,620,422,874,477,517,566,813,
211,800,359,109,962,262,304,794,094,488,291,132,578,908,081,827,898,584,139,
099,045,050,410,488,869,491,243,971,803,329,776,490,759,332,179,998,018,360,
162,481,402,407,082,293,645,918,944,154,113,271,354,507,591,957,605,884,174,
536,336,767,130,794,043,859,316,773,990,839,510,631,675,823,230,080,031,410,
375,231,279,521,603,852,911,681,898,103,550,766,900,323,495,501,009,430,743,
825,827,141,507,715,037,006,709,616,855,756,106,836,277,123,124,504,773,573,
987,186,813,109,767,371,821,341,548,767,524,680,518,276,997,495,734,328,741,
611,546,863,130,947,289,725,830,973,293,423,571,299,972,244,945,958,362,895,
462,241,951,915,505,735,949,114,507,278,783,096,235,018,574,520,333,544,708,
967,069,670,571,320,661,224,448,416,228,330,517,998,425,523,594,584,447,007,
246,767,469,975,411,299,487,894,793,938,975,284,118,744,380,464,963,113,668,
534,958,728,099,352,754,872,377,212,022,539,823,020,922,572,107,731,331,464,
423,267,385,885,086,163,564,312,167,179,355,842,601,083,217,177,342,047,271,
661,880,418,744,888,595,551,750,545,142,584,327,938,518,572,819,591,283,086,
330,349,236,198,656,522,584,913,762,037,788,963,722,557,639,581,565,784,517,
957,776,356,704,815,949,315,196,005,756,883,638,458,240,430,825,046,956,583,
399,939,512,743,861,203,845,256,307,438,394,437,880,334,065,293,707,124,031,
214,381,799,485,166,013,320,940,971,477,515,683,693,565,726,832,492,845,902,
963,825,189,377,139,975,508,103,544,932,271,276,616,752,911,904,759,457,430,
662,836,029,513,183,260,719,581,805,676,583,848,484,436,088,732,129,028,401,
264,379,785,400,879,528,497,311,661,732,965,006,552,916,452,015,795,157,107,
807,447,129,764,612,663,876,793,541,167,624,330,393,470,578,859,300,641,284,
681,511,158,954,957,585,767,454,463,330,986,069,273,181,429,010,163,984,800,
268,852,854,459,514,722,887,100,859,865,479,386,773,980,542,260,781,319,843,
879,331,264,950,845,150,552,404,427,652,298,569,514,517,168,920,295,252,808,
751,266,918,382,265,307,339,100,159,127,056,632,333,515,969,645,464,100,595,
576,888,445,373,903,898,719,501,134,762,908,831,643,170,806,700,109,046,937,
147,532,166,078,900,147,377,714,857,560,599,473,102,691,731,680,900,726,854,
087,425,511,673,136,203,884,159,626,067,012,985,561,738,131,390,259,329,536,
850,819,760,126,935,489,032,156,923,671,725,061,119,265,339,256,235,916,851,
312,521,302,468,727,241,258,844,721,806,964,340,244,246,364,024,693,494,716,
658,660,203,175,204,822,351,055,246,301,902,149,116,619,311,873,506,951,512,
079,385,995,918,490,063,436,895,800,981,682,507,648,910,186,841,203,325,372,
548,769,396,668,023,741,853,482,454,348,543,327,529,191,696,461,222,520,422,
293,899,529,808,603,437,518,222,784,458,739,547,506,919,136,725,987,998,453,
603,096,062,559,567,130,229,157,783,348,985,219,031,703,619,951,468,428,872,
788,307,208,620,445,496,595,707,715,067,486,941,398,120,294,059,741,881,541,
837,178,979,941,378,467,874,747,267,441,988,786,376,298,099,450,373,804,955,
421,196,538,750,083,877,880,150,608,353,601,107,798,069,215,798,281,237,162,
242,581,081,574,763,504,880,895,713,614,280,810,606,467,149,542,352,545,671,
725,408,428,677,074,986,589,393,690,348,724,083,753,296,198,839,949,415,829,
969,540,218,746,987,365,448,968,621,848,742,691,246,246,660,716,507,456,819,
399,105,955,159,129,409,798,102,349,699,462,097,450,571,267,807,736,388,481,
285,559,831,415,107,236,066,882,009,566,663,775,711,959,549,621,916,602,938,
015,379,616,786,462,881,379,107,894,846,218,215,338,366,231,367,851,650,641,
977,932,179,887,388,381,517,762,407,255,393,628,307,951,121,015,456,302,883,
250,759,627,087,713,845,200,841,521,978,920,567,788,069,299,698,476,715,175,
583,892,165,359,496,735,838,832,165,460,662,345,186,767,191,967,682,736,630,
938,609,662,306,954,129,176,954,131,605,498,604,135,687,219,667,987,724,595,
979,849,767,920,036,757,672,691,133,235,220,603,471,608,379,578,587,688,437,
476,456,899,563,093,604,607,984,537,574,358,459,387,724,729,189,777,426,429,
547,908,565,945,510,262,509,414,662,554,419,267,997,079,758,695,081,649,812,
266,347,945,323,333,475,416,339,488,911,694,121,504,724,013,012,924,051,333,
121,322,618,066,379,418,388,181,300,195,226,797,463,838,163,428,776,913,938,
890,189,241,921,301,340,260,890,017,221,445,704,944,277,963,229,376,706,547,
229,241,898,987,169,766,750,463,370,518,400,229,562,894,484,296,285,783,489,
850,395,831,837,553,601,898,548,064,782,963,744,168,576,418,884,939,879,193,
178,290,561,830,215,105,804,728,133,008,001,281,264,739,747,923,992,632,229,
627,762,753,990,394,987,711,836,001,688,198,202,932,322,412,920,404,896,702,
369,428,221,126,096,371,682,086,060,243,519,927,809,622,410,141,794,798,500,
363,551,235,958,755,822,192,022,895,831,826,742,474,858,542,075,913,931,451,
549,673,249,730,138,054,721,196,523,252,960,443,441,749,302,943,149,195,647,
561,653,949,653,078,337,469,471,637,279,348,978,198,034,370,598,332,957,376,
898,666,055,369,414,434,815,213,878,601,100,144,918,338,618,425,706,736,121,
818,249,727,745,550,908,094,154,787,791,824,314,020,442,327,786,386,341,662,
609,757,032,092,467,015,271,577,839,341,820,470,688,544,239,099,138,937,469,
199,494,309,951,292,396,658,979,635,921,329,074,524,447,919,493,946,155,151,
251,439,005,945,871,476,084,476,661,122,834,601,083,375,616,367,790,247,895,
473,275,384,140,230,909,763,288,962,154,379,416,575,878,304,755,441,681,060,
181,706,072,385,364,697,384,975,039,534,132,656,257,723,507,323,631,156,696,
013,977,008,973,251,459,349,867,060,112,955,441,344,529,968,676,116,677,735,
428,453,087,857,694,087,787,716,444,932,833,597,750,117,150,005,093,323,900,
031,504,551,930,918,336,942,134,674,914,325,875,839,845,680,137,165,557,399,
627,022,519,801,065,533,683,589,331,312,157,842,839,843,969,233,457,178,823,
182,306,382,981,855,279,695,697,092,964,079,464,641,300,603,788,633,628,456,
601,714,171,669,446,628,385,231,957,948,240,758,777,013,723,598,804,082,060,
310,726,464,001,788,921,463,551,555,026,051,088,887,060,663,241,676,837,802,
068,481,358,520,375,696,940,019,515,553,153,568,149,460,220,378,999,560,626,
411,390,959,540,512,018,309,823,608,021,321,838,572,618,164,296,920,902,074,
000,174,716,533,636,028,159,409,893,816,878,437,554,542,602,484,141,696,995,
044,299,698,318,576,534,207,748,735,270,327,493,346,400,294,052,993,845,231,
677,476,763,410,466,280,544,235,663,991,953,202,917,676,973,745,994,135,520,
381,086,840,185,480,593,720,421,690,584,082,861,515,368,062,057,046,507,336,
758,946,858,470,649,391,525,885,095,723,078,794,512,960,888,815,989,348,066,
671,264,864,356,058,001,909,903,381,877,548,423,247,387,459,670,412,406,972,
438,024,420,871,902,431,250,442,636,270,612,157,296,007,696,981,057,875,811,
668,888,470,761,494,228,888,229,052,264,331,577,156,685,631,189,986,301,449,
543,977,779,989,244,269,150,340,736,131,028,113,488,476,764,010,681,740,510,
948,852,705,646,520,222,908,972,429,607,275,463,851,806,515,316,137,575,888,
344,230,466,144,010,314,276,362,408,117,919,273,326,300,713,522,957,319,756,
651,896,581,804,206,983,004,316,964,023,219,322,312,183,025,711,391,027,206,
116,767,062,978,139,902,873,508,605,170,818,681,757,495,587,648,133,114,681,
666,892,023,208,169,347,730,566,528,204,045,796,042,863,173,175,934,421,035,
620,979,288,830,514,287,574,630,378,350,610,043,648,423,607,214,144,637,351,
094,369,204,182,544,120,632,733,843,537,755,431,225,110,068,941,649,436,618,
391,280,905,731,359,362,990,004,160,542,012,775,832,560,378,406,768,364,475,
060,050,050,216,503,739,169,338,555,530,631,859,463,373,514,596,942,146,250,
096,982,379,102,345,356,772,918,098,689,545,883,562,331,937,630,371,655,409,
366,594,843,467,798,513,956,902,722,028,913,196,054,630,257,272,958,459,609,
716,595,991,517,866,205,301,830,350,913,707,822,724,392,867,806,766,117,445,
565,335,093,729,763,409,186,226,833,749,847,158,404,074,597,832,581,418,406,
206,192,699,341,239,364,674,531,464,411,587,283,590,615,264,955,710,199,012,
364,020,020,696,652,938,835,399,363,623,274,765,622,041,572,301,235,370,933,
475,135,095,200,020,353,005,902,482,048,740,571,213,081,908,916,805,371,613,
781,621,439,816,588,777,843,047,449,083,037,377,811,416,922,754,320,309,765,
871,200,660,123,327,143,724,414,764,384,783,871,332,642,810,595,422,791,881,
031,658,531,954,864,438,332,781,507,033,527,692,677,772,467,801,266,314,293,
607,331,064,953,308,636,077,678,953,493,248,280,492,484,097,200,370,255,787,
597,573,804,647,031,288,666,277,445,466,680,207,338,012,722,773,475,827,028,
555,879,956,119,293,930,693,747,373,992,138,914,476,553,209,733,003,581,929,
040,153,069,344,721,160,389,046,417,132,597,262,225,998,909,737,125,851,535,
460,155,051,186,624,913,791,273,844,828,659,308,701,798,587,254,741,878,015,
855,560,188,818,666,564,599,277,866,596,187,290,914,627,129,593,504,205,882,
537,712,181,659,475,711,442,231,671,566,638,454,377,013,014,548,723,633,807,
797,025,620,596,708,650,778,287,878,958,019,352,912,460,500,919,755,413,303,
309,261,091,460,240,893,360,383,655,817,336,864,684,289,964,091,011,151,996,
275,255,013,031,278,415,075,024,113,071,577,389,731,152,293,849,325,701,962,
158,369,289,729,398,835,551,367,598,152,386,989,532,363,984,460,756,034,164,
303,456,907,483,932,758,638,044,254,796,016,539,206,486,662,664,057,227,691,
979,009,257,339,204,647,187,882,426,481,978,155,884,199,364,214,514,307,625,
716,622,408,745,606,258,428,383,921,913,101,626,961,429,704,453,894,510,002,
729,332,874,167,722,357,459,046,803,919,117,971,818,199,858,776,341,859,626,
853,347,250,152,771,376,963,454,742,838,316,240,194,639,910,484,505,563,663,
847,546,284,861,633,207,685,206,232,139,258,907,652,947,216,441,939,522,391,
103,892,939,084,534,224,712,647,352,962,999,009,006,116,557,685,737,466,836,
185,043,407,940,544,911,052,102,693,347,692,003,728,639,582,259,429,454,884,
518,299,060,226,607,387,630,025,445,084,148,121,445,550,196,031,675,339,438,
458,371,723,205,256,216,832,072,353,992,150,796,121,614,741,702,534,862,443,
876,631,377,358,015,880,858,767,110,070,337,393,444,456,954,069,770,877,325,
596,503,357,634,548,958,497,751,510,679,949,343,521,825,787,523,930,883,500,
876,830,763,134,343,482,199,518,733,291,655,228,583,497,058,044,389,416,453,
982,158,874,555,159,054,649,343,652,170,799,753,781,648,063,762,192,914,748,
466,426,907,286,862,296,998,495,537,006,282,821,623,168,765,919,455,465,292,
671,989,558,791,030,498,941,270,862,140,167,472,371,000,439,186,260,658,263,
728,313,544,503,104,832,931,298,328,007,717,351,176,603,370,936,201,975,193,
181,202,255,658,295,375,872,873,904,401,777,773,796,494,271,654,004,129,026,
073,432,423,747,775,322,817,893,243,213,705,002,217,602,567,641,644,894,667,
628,103,554,055,183,785,484,500,956,481,398,637,647,314,970,725,132,120,231,
064,073,898,710,906,778,486,870,781,082,590,461,074,504,241,836,402,985,313,
376,216,763,861,115,523,562,079,565,625,603,463,228,575,112,418,412,158,777,
024,326,978,862,819,493,130,470,793,680,949,232,717,424,867,634,518,867,764,
190,951,541,709,713,908,361,926,735,571,873,781,543,916,807,251,232,494,591,
365,028,670,116,274,228,660,335,977,696,725,876,978,001,539,830,627,214,102,
355,785,500,147,987,596,728,357,850,705,330,343,452,083,008,745,528,310,790,
479,830,527,138,688,504,332,644,378,752,096,270,835,171,471,471,011,062,869,
184,292,346,553,827,008,833,306,124,327,732,237,188,118,426,951,927,773,053,
595,906,472,145,173,955,653,955,060,756,675,957,458,508,172,538,893,997,770,
168,061,796,840,055,828,017,554,628,136,988,742,751,078,164,559,939,174,579,
270,749,102,513,930,267,012,761,799,686,526,582,350,437,857,494,572,533,533,
673,221,843,608,561,505,535,742,381,348,997,439,621,430,050,977,804,717,241,
473,677,125,303,463,046,671,104,224,336,532,470,210,617,691,633,994,041,406,
353,304,728,361,883,722,477,229,656,011,838,210,516,401,555,168,329,890,597,
639,456,891,171,836,572,083,768,054,942,267,363,934,584,585,651,240,862,185,
487,077,449,582,806,813,287,187,845,325,964,734,411,478,491,435,552,859,796,
446,038,205,940,546,795,822,509,799,643,682,791,750,951,158,278,122,311,402,
548,355,550,043,260,300,172,625,697,983,349,878,917,245,840,915,729,393,557,
600,040,140,117,655,743,698,402,629,317,456,117,080,262,801,374,985,226,699,
050,817,936,332,875,348,961,516,769,931,678,885,541,515,163,054,522,542,650,
528,633,228,401,873,285,545,867,280,832,495,481,251,722,349,992,451,108,201,
097,545,649,414,239,453,275,117,125,921,892,528,626,034,318,878,851,222,776,
585,408,274,362,717,700,758,004,154,597,814,715,727,376,806,408,565,534,255,
072,527,664,279,551,233,558,832,054,090,323,529,791,413,667,604,548,388,181,
998,659,831,374,904,358,322,049,664,332,429,161,387,877,361,105,994,929,563,
159,993,807,271,418,890,224,955,415,363,670,388,584,233,968,709,550,959,618,
744,511,507,122,819,316,423,605,270,697,895,866,091,416,579,777,771,611,981,
576,294,701,097,734,498,444,006,651,591,776,302,899,200,827,046,666,191,468,
740,636,318,658,183,740,382,234,588,909,809,386,615,784,205,286,693,814,976,
531,761,628,970,541,756,001,994,828,212,515,732,439,062,972,816,899,138,889,
816,764,735,331,313,578,292,572,167,511,328,430,095,719,405,727,061,126,493,
842,675,288,923,607,428,103,239,658,386,201,829,785,140,727,094,759,026,771,
795,717,414,461,116,169,205,511,779,069,614,008,052,428,178,901,509,181,533,
829,549,882,471,241,942,823,814,039,648,275,011,073,825,952,333,200,910,007,
064,749,873,539,615,143,218,249,072,250,252,301,925,883,609,621,554,532,469,
840,298,827,145,070,095,138,495,556,640,393,880,265,385,361,095,073,541,476,
853,878,189,511,515,170,339,894,535,195,181,189,798,276,242,325,407,334,984,
231,064,455,880,165,048,798,754,544,323,532,661,706,442,833,810,639,705,487,
725,616,600,421,170,305,870,033,210,780,541,002,618,937,535,232,621,493,694,
365,836,693,422,792,192,167,703,172,413,684,528,143,756,701,067,102,468,289,
424,940,774,686,803,775,520,491,939,192,740,862,609,312,857,883,352,186,901,
822,077,070,193,480,380,746,266,510,351,498,269,840,194,138,692,542,850,183,
812,655,229,971,302,397,582,389,284,629,163,286,311,168,492,409,081,512,678,
211,724,995,432,568,606,624,944,782,316,676,910,780,952,551,897,856,828,926,
915,440,524,090,560,058,805,022,911,292,158,959,276,469,851,696,745,590,443,
682,967,711,505,269,308,086,502,520,001,602,346,644,747,598,020,480,456,060,
628,936,256,368,419,017,204,049,653,944,774,381,571,114,260,939,267,828,248,
010,039,108,489,067,264,521,621,339,932,784,170,750,235,277,872,492,344,157,
581,385,649,972,096,267,610,234,559,066,804,861,333,843,967,583,255,452,144,
409,949,548,743,026,491,590,964,836,171,532,655,479,837,075,839,983,107,577,
217,081,495,203,011,280,370,230,299,741,532,564,404,032,899,543,630,132,378,
285,451,566,464,804,770,648,440,467,188,403,091,405,269,612,273,052,369,607,
263,260,416,008,540,327,355,753,671,939,188,021,246,327,095,871,895,789,500,
579,530,220,950,410,907,431,108,225,344,473,997,494,183,995,692,847,028,069,
226,409,849,538,111,834,232,281,000,003,744,447,679,599,426,448,197,665,244,
113,352,120,986,071,897,834,527,515,516,226,030,315,872,968,238,390,981,967,
581,846,703,906,632,031,721,602,545,640,787,242,941,165,126,893,364,707,982,
451,290,608,136,337,887,621,509,088,781,853,171,210,244,467,064,733,903,824,
402,448,095,238,305,619,053,965,028,352,208,817,635,366,451,907,750,000,914,
855,745,942,214,934,811,458,765,767,850,331,879,354,852,922,522,371,847,388,
020,863,593,277,238,057,495,281,772,475,340,375,427,068,183,035,930,684,616,
242,116,935,501,792,330,977,105,020,908,648,586,464,345,207,874,521,118,472,
755,658,908,738,375,088,060,316,264,759,771,754,966,588,631,208,184,510,129,
360,724,335,678,255,598,651,449,511,968,967,297,664,717,632,695,543,913,639,
186,002,513,317,605,820,900,312,173,289,177,675,740,346,932,027,060,897,199,
440,650,810,192,312,928,273,719,487,368,554,158,428,216,756,898,073,342,130,
028,081,132,886,649,768,609,096,670,610,181,809,468,455,054,178,120,214,869,
697,244,751,978,425,749,293,432,489,146,363,630,321,698,094,534,635,750,346,
988,621,751,827,293,548,828,366,838,910,148,113,632,599,808,227,480,967,095,
883,585,795,682,589,573,520,592,568,033,000,933,498,816,620,000,867,108,549,
958,298,907,725,809,802,145,496,437,257,094,871,994,645,824,868,817,291,439,
899,412,821,151,867,614,081,121,240,495,816,946,405,915,275,892,495,172,125,
498,529,613,268,127,541,716,839,167,696,480,552,328,842,655,241,908,509,800,
227,707,095,123,240,821,769,931,785,029,828,292,413,017,504,861,334,954,357,
359,236,221,517,945,659,018,167,524,128,868,428,103,374,159,008,839,242,802,
981,452,521,674,931,885,131,471,918,205,386,812,907,178,792,557,907,717,092,
701,959,944,857,886,481,432,246,733,611,287,430,271,970,437,171,534,302,417,
770,445,019,967,201,940,569,592,414,701,686,964,391,478,408,885,996,419,502,
367,966,177,442,292,206,642,832,926,408,736,411,725,618,726,920,268,716,843,
102,661,389,695,976,586,197,673,726,769,223,487,061,257,234,085,395,621,850,
529,105,746,390,592,479,090,580,189,307,777,213,481,834,159,848,272,174,114,
739,844,430,237,345,395,450,156,095,551,008,606,405,238,311,042,165,080,794,
429,260,506,055,447,835,995,028,966,289,294,441,105,713,566,518,097,550,776,
406,865,599,903,538,504,102,606,450,938,977,500,564,188,054,076,659,167,927,
805,593,733,944,499,275,160,355,734,201,151,892,203,216,631,079,092,007,710,
881,195,086,574,853,239,532,120,223,720,353,297,531,394,696,481,734,831,702,
534,934,072,637,367,452,219,072,588,656,134,058,794,864,190,158,190,234,042,
639,181,212,961,707,753,840,044,010,933,908,898,145,222,837,704,947,295,956,
930,309,188,355,824,209,424,491,592,420,569,004,497,100,176,458,834,116,731,
684,154,621,012,667,256,867,747,511,261,738,493,969,233,613,716,031,147,738,
665,420,668,513,446,745,819,425,398,125,934,120,509,079,042,908,239,607,438,
831,715,897,139,868,074,083,044,149,396,437,370,539,219,664,314,085,736,458,
279,310,617,922,685,514,879,823,535,582,715,477,609,064,825,349,923,925,237,
602,955,176,102,564,854,391,289,881,714,479,732,771,068,766,801,419,418,893,
138,497,994,266,731,393,007,744,988,219,205,231,050,885,529,427,697,002,660,
140,882,941,601,150,538,862,203,969,619,405,665,246,269,753,299,414,696,855,
036,127,301,176,959,680,715,516,991,303,175,059,765,244,367,099,634,563,114,
049,174,596,952,679,753,463,033,979,399,792,079,326,102,082,602,105,939,482,
185,140,271,383,049,938,522,253,040,341,477,151,832,968,319,841,511,478,364,
468,406,605,641,325,865,503,202,342,088,090,570,292,278,179,766,308,381,471,
580,665,928,386,301,302,696,317,251,718,527,171,772,210,165,709,666,927,052,
688,910,546,174,180,396,923,119,962,056,043,041,298,166,534,522,369,440,419,
414,434,414,621,851,429,186,582,876,113,295,660,488,919,732,402,888,191,788,
015,150,403,469,747,834,203,721,805,520,199,754,596,719,376,192,251,833,710,
781,134,788,893,755,657,059,697,424,559,768,462,795,143,531,275,848,360,673,
097,114,250,750,272,909,033,144,163,707,000,329,391,769,324,392,228,459,210,
407,611,343,866,206,221,181,915,858,900,840,387,950,428,562,473,859,901,909,
622,304,373,521,461,060,143,489,901,090,007,594,707,661,760,736,965,070,623,
595,107,024,893,958,896,829,509,936,114,828,053,402,338,283,011,276,165,998,
005,743,871,795,895,132,016,103,019,661,942,948,918,971,779,233,681,325,052,
495,790,106,597,382,005,943,374,107,467,797,330,185,407,607,620,178,650,863,
275,422,136,721,872,710,354,058,848,717,770,403,194,531,395,346,858,539,215,
112,718,908,009,187,774,642,793,818,218,265,068,738,284,339,726,044,273,793,
017,794,350,501,731,291,972,761,437,326,558,283,071,424,636,271,358,317,201,
214,648,092,124,632,488,757,225,992,216,820,149,084,690,231,258,391,317,468,
739,141,855,917,569,376,934,860,665,172,411,904,669,429,836,685,276,228,263,
736,027,423,216,605,597,936,236,580,715,811,778,662,080,009,798,888,417,204,
005,264,242,814,198,200,287,251,655,187,122,560,192,877,238,639,778,850,150,
944,989,158,614,813,702,171,931,095,125,380,037,471,634,792,981,634,998,996,
562,759,796,988,919,878,990,321,916,286,975,089,969,460,821,127,928,981,602,
113,655,061,201,000,795,342,769,127,811,189,416,793,195,242,038,981,364,571,
855,720,821,439,341,536,409,293,038,580,730,591,710,635,029,787,751,339,188,
812,265,212,380,832,726,102,623,971,037,334,276,494,310,587,247,300,930,350,
454,927,629,093,660,682,282,694,671,663,817,230,118,769,467,428,731,098,950,
964,127,901,154,652,836,265,526,152,742,655,808,621,850,331,860,450,898,355,
042,316,546,949,969,863,485,744,817,827,551,280,269,305,360,663,037,594,256,
316,928,562,987,283,555,362,385,646,309,534,919,658,055,078,339,445,967,124,
131,610,158,999,892,027,567,240,196,101,807,423,658,976,132,256,629,364,104,
609,687,783,840,457,536,611,864,992,486,824,642,800,913,829,766,350,243,452,
949,680,121,071,152,300,579,414,414,258,063,200,716,021,406,045,493,876,152,
822,551,572,371,776,532,875,929,315,897,736,815,640,446,852,769,561,340,397,
595,508,971,322,189,242,646,167,451,904,367,780,769,140,381,117,869,370,103,
935,966,400,066,575,253,804,526,880,837,142,542,734,208,616,371,644,278,667,
492,435,736,198,703,670,416,922,674,589,029,027,319,297,316,210,097,732,288,
506,664,978,233,857,504,396,034,502,230,914,486,705,677,072,365,888,656,161,
644,959,321,171,759,550,401,225,254,998,611,320,482,946,399,312,575,456,991,
994,554,287,003,424,793,700,953,534,040,806,824,575,298,645,019,110,503,906,
433,818,967,648,578,084,285,050,947,176,473,378,955,231,824,376,433,508,416,
286,826,910,551,832,465,691,733,265,156,898,259,959,799,256,337,556,695,997,
494,723,100,779,221,368,023,294,971,298,660,672,087,561,203,059,371,118,078,
738,530,926,614,109,211,658,047,702,346,084,722,555,440,686,963,258,360,260,
521,759,442,817,536,416,402,073,662,982,888,663,462,961,582,130,234,475,509,
637,056,644,027,869,240,234,563,069,208,391,913,383,213,764,699,282,214,634,
392,637,205,286,964,188,380,292,234,636,282,604,098,356,283,664,980,487,809,
092,103,929,679,345,935,555,183,251,599,046,396,065,858,896,630,797,130,441,
787,084,558,450,824,376,810,524,059,768,633,648,244,029,888,465,697,991,970,
199,213,791,019,011,934,143,409,697,125,411,034,522,551,560,116,991,729,660,
618,360,358,665,054,359,656,334,161,590,261,383,007,581,829,067,985,188,343,
060,478,627,741,784,533,061,801,402,058,798,060,972,621,563,402,301,826,649,
804,252,018,873,084,145,473,657,111,229,975,598,870,837,191,299,300,849,628,
340,534,974,569,338,634,104,960,567,950,023,212,141,217,497,423,005,103,711,
302,980,950,057,060,452,845,573,148,194,992,612,397,106,071,547,656,496,860,
311,652,783,075,878,956,941,544,262,392,656,296,130,557,537,024,099,857,234,
028,074,430,848,089,592,203,757,718,232,950,571,996,731,666,908,427,545,124,
297,667,629,359,178,281,784,904,527,258,194,159,670,182,239,698,424,410,411,
008,420,544,335,493,932,642,264,075,502,251,172,730,446,101,460,495,049,515,
228,149,784,708,104,245,047,019,546,152,117,783,250,847,535,527,291,701,839,
149,469,704,069,964,734,263,162,608,133,767,063,476,651,586,386,325,957,875,
915,348,506,612,301,331,607,651,563,422,603,147,012,046,684,442,887,995,419,
246,001,952,549,940,424,580,473,032,807,383,375,806,536,538,205,794,378,024,
806,041,996,087,784,817,141,052,020,747,381,239,471,493,513,975,807,636,526,
794,689,713,332,306,475,151,336,138,003,574,007,829,103,857,598,969,418,633,
289,330,604,936,632,159,051,546,875,148,666,038,521,282,493,998,153,336,446,
825,627,879,887,564,554,138,550,174,554,080,182,373,237,545,933,465,207,515,
922,776,012,508,786,585,675,158,546,498,317,210,160,677,772,187,373,069,471,
534,015,507,474,318,769,196,938,403,968,778,815,580,269,357,291,622,612,598,
743,341,550,621,560,238,841,595,681,315,078,501,733,272,290,440,183,677,677,
234,739,375,094,658,797,149,315,729,462,499,089,956,937,156,846,259,083,571,
482,013,428,167,956,476,450,147,681,425,557,744,243,977,861,287,353,825,115,
964,851,785,792,210,010,456,351,026,136,451,416,652,462,600,864,180,108,487,
573,123,499,190,274,720,239,381,936,664,931,275,052,850,806,589,271,614,735,
992,873,492,538,484,660,691,470,473,585,220,072,505,712,870,147,394,906,976,
274,654,133,390,918,372,143,314,485,814,792,113,553,245,737,333,275,861,287,
694,014,385,143,779,971,924,484,379,660,323,714,152,984,548,466,274,949,701,
100,398,902,830,453,875,855,814,182,002,263,798,943,147,923,122,786,858,459,
927,089,045,649,541,141,575,928,746,700,490,034,329,331,281,672,995,571,171,
134,734,337,164,807,800,613,918,627,398,442,424,232,230,756,494,528,485,767,
251,596,121,433,279,037,708,378,737,234,234,431,323,563,565,197,714,615,166,
979,466,373,796,811,921,292,755,694,881,354,888,259,624,174,473,289,864,915,
299,297,698,893,819,244,244,428,847,072,563,945,981,430,908,960,454,373,357,
802,657,103,939,972,546,647,121,759,257,147,480,777,047,136,027,311,924,744,
458,938,601,617,886,594,856,436,238,799,897,891,290,293,986,523,028,322,803,
579,500,524,827,307,418,782,865,144,273,429,871,467,521,000,549,562,393,213,
907,140,565,501,609,351,305,071,688,742,202,608,646,054,594,948,051,617,213,
637,660,556,420,337,090,907,789,101,949,794,655,901,409,775,511,870,538,733,
967,235,280,661,772,810,681,889,589,510,995,799,128,034,703,439,112,126,698,
750,890,051,294,249,400,654,752,996,795,027,282,695,629,784,326,000,482,798,
550,749,687,760,166,118,923,838,190,120,883,313,279,346,155,575,108,332,964,
989,650,780,661,159,710,841,536,696,544,292,499,634,390,537,353,735,650,081,
178,226,869,126,601,051,921,027,026,791,313,996,287,437,032,450,286,190,817,
098,637,455,178,640,863,476,409,976,391,725,802,088,005,059,448,370,697,352,
944,011,635,332,991,348,968,014,912,841,131,959,899,071,149,218,419,858,118,
823,339,913,719,896,757,830,121,866,128,715,690,656,497,449,898,522,371,156,
995,392,462,192,692,858,198,220,338,772,714,508,406,677,074,770,978,918,902,
164,262,431,332,356,270,406,515,250,320,446,812,657,952,852,749,872,198,751,
854,453,107,549,341,786,482,678,150,854,467,241,885,500,685,906,019,752,772,
211,657,557,634,463,363,404,865,097,637,939,138,626,353,516,071,036,487,981,
412,048,593,404,131,614,012,860,576,116,917,455,603,352,222,073,257,588,829,
913,333,507,161,948,686,629,589,888,948,908,361,612,779,090,698,181,610,641,
103,677,265,328,775,857,262,165,430,986,293,980,307,261,891,399,881,823,804,
122,088,066,253,397,760,807,278,010,798,883,303,487,805,307,234,751,675,418,
194,622,200,724,547,711,965,457,496,358,284,030,676,289,678,990,548,350,458,
159,014,971,072,637,248,150,322,507,768,886,454,900,129,856,880,649,108,493,
900,658,214,492,991,688,340,565,460,175,748,739,827,553,426,300,800,329,716,
681,462,369,044,855,172,415,881,405,962,686,426,226,844,447,300,770,213,892,
163,220,786,950,184,182,056,714,405,884,941,023,819,688,951,292,481,706,749,
477,782,750,516,261,864,847,814,414,550,968,338,580,905,723,013,143,890,120,
719,211,533,196,049,575,235,730,515,870,617,989,976,481,630,473,455,726,411,
324,261,137,782,768,204,875,413,151,435,113,391,368,957,301,493,698,760,240,
577,194,304,052,121,051,101,277,990,968,983,909,251,002,834,147,993,586,909,
385,919,423,959,095,896,200,855,809,306,843,505,996,248,764,343,552,013,564,
046,466,098,603,116,638,886,244,209,463,382,604,963,728,253,325,248,693,722,
278,221,250,679,809,759,424,386,503,217,079,243,772,508,831,515,711,317,245,
561,515,780,767,919,328,036,281,647,442,345,563,684,377,675,685,954,254,902,
275,378,664,211,275,391,190,292,634,886,582,172,631,440,836,792,588,723,399,
765,276,157,571,348,592,445,055,558,934,350,801,866,585,804,063,537,737,248,
086,719,036,682,574,086,487,446,987,767,315,276,811,809,872,775,779,561,144,
218,168,127,106,103,969,417,452,796,027,108,549,913,584,845,296,638,743,785,
962,075,722,001,783,372,307,534,720,047,809,515,713,704,796,121,834,989,142,
775,567,426,269,925,243,205,032,163,637,881,374,468,929,885,205,464,182,139,
706,899,714,094,287,319,304,984,304,119,030,500,681,964,209,653,822,981,435,
827,523,364,869,275,426,778,288,737,095,339,228,407,416,361,969,734,191,861,
484,854,206,248,055,149,448,839,679,934,565,999,689,556,479,750,942,646,147,
905,331,625,141,331,819,504,036,602,265,206,358,562,796,058,624,212,791,549,
703,445,913,878,564,831,443,973,997,362,780,343,445,442,046,655,873,474,349,
836,269,360,668,179,919,039,796,687,566,541,358,351,789,025,161,758,534,949,
031,260,063,264,628,608,675,941,573,036,199,575,840,394,810,674,508,472,364,
882,895,960,921,949,338,820,453,323,361,694,707,259,336,233,240,194,008,438,
733,551,528,360,116,830,746,680,869,303,819,914,327,699,835,089,239,028,370,
468,995,546,300,667,743,018,562,406,935,357,395,092,709,803,570,077,834,728,
276,660,957,445,923,242,292,323,387,707,213,226,948,281,438,860,728,052,286,
476,239,740,675,878,237,901,709,845,731,439,299,057,986,988,477,915,302,025,
985,313,663,593,890,724,680,028,486,032,369,855,349,077,142,104,375,206,952,
714,620,559,228,201,779,120,891,364,304,965,632,800,488,028,961,809,361,555,
440,303,863,066,801,646,945,470,681,574,362,373,453,901,037,510,525,332,399,
336,516,476,616,601,225,375,385,937,070,012,954,703,288,129,643,632,579,283,
817,622,242,486,076,419,122,266,913,925,401,571,406,750,265,068,236,721,261,
932,300,578,394,042,138,403,388,714,924,552,293,041,281,401,530,442,783,546,
157,898,027,268,643,522,458,279,878,290,155,536,312,168,160,285,208,385,152,
660,120,302,102,001,465,292,790,043,155,370,470,814,210,689,310,536,189,430,
135,966,994,523,620,913,522,895,297,291,119,068,897,803,275,872,604,792,660,
737,260,825,724,530,674,090,673,803,902,697,024,876,741,857,158,316,549,119,
334,730,110,627,425,101,400,473,515,050,211,877,438,378,757,432,392,271,373,
295,019,678,990,023,544,437,593,968,026,683,707,609,679,954,920,927,316,458,
449,026,998,097,912,967,677,859,917,029,637,773,657,379,809,478,806,617,274,
894,741,663,613,956,255,783,287,866,630,594,259,689,281,789,051,344,715,701,
260,034,068,827,161,894,694,695,602,191,088,807,313,492,700,771,231,198,444,
268,822,687,358,516,570,588,124,033,352,730,145,416,000,722,770,289,711,208,
218,587,307,796,907,722,987,086,288,155,476,220,769,251,886,536,611,590,454,
364,117,851,718,657,734,670,124,638,076,319,721,684,847,561,586,727,560,425,
142,352,094,553,002,696,367,582,513,230,157,870,722,668,717,658,378,203,636,
441,522,162,513,696,748,365,855,885,813,435,757,418,528,064,562,691,013,826,
772,026,708,494,193,843,932,095,976,284,517,020,629,920,201,303,844,880,988,
842,365,096,640,873,121,493,944,517,224,432,181,817,674,331,304,695,562,066,
197,089,111,654,941,045,966,951,312,580,625,061,339,270,653,639,943,694,102,
664,209,725,326,528,498,628,593,308,016,279,658,677,087,234,385,015,832,165,
438,417,442,160,677,074,864,809,677,158,185,374,995,510,584,969,378,221,241,
815,557,044,416,228,863,949,766,099,184,130,437,142,492,241,610,111,981,774,
262,821,678,968,006,138,555,939,391,644,382,284,090,538,563,329,764,952,184,
016,415,850,102,661,576,051,730,567,219,989,561,663,381,044,842,167,093,836,
338,171,454,802,627,752,497,236,526,423,367,800,703,685,013,128,076,952,947,
766,808,451,562,901,035,101,080,139,518,692,737,557,411,450,150,125,525,244,
532,333,650,445,065,529,124,170,798,116,737,915,376,901,829,032,320,917,900,
744,200,013,935,998,349,011,939,735,845,319,164,172,687,360,529,933,773,990,
837,814,928,649,556,461,321,244,205,679,257,217,265,663,367,556,731,118,109,
511,362,687,126,385,742,947,269,357,130,390,420,416,225,725,578,632,677,170,
989,741,125,561,169,060,959,317,464,157,086,658,369,278,264,872,235,864,492,
934,478,058,684,002,029,854,432,174,799,633,381,777,601,994,610,287,115,228,
430,905,059,002,621,121,319,071,616,986,939,288,480,462,332,513,747,706,273,
561,381,994,332,590,918,813,426,783,967,287,902,132,110,410,918,820,830,635,
674,277,926,101,391,572,469,234,852,012,141,773,409,067,186,427,804,337,611,
777,318,514,180,547,430,321,910,314,657,768,607,837,702,381,818,088,596,657,
369,439,405,709,835,574,218,283,402,059,379,031,010,593,612,840,784,441,684,
395,781,371,214,871,013,239,451,671,505,835,598,852,274,200,866,385,106,188,
982,128,707,791,522,360,905,693,182,470,418,154,694,991,400,145,084,777,683,
330,776,423,995,504,562,493,514,592,796,719,886,373,746,999,093,280,947,338,
352,731,862,667,770,986,206,499,693,881,021,906,210,816,140,923,474,273,037,
987,112,442,555,211,828,979,248,556,782,496,290,616,562,918,950,848,834,802,
864,503,267,263,490,498,546,827,808,098,990,222,747,985,851,650,055,668,320,
282,896,923,981,243,248,147,275,185,097,226,630,805,046,600,301,262,420,991,
702,598,174,903,035,234,242,178,360,400,962,746,629,285,366,537,855,275,487,
403,651,442,008,907,988,374,204,736,401,236,123,668,606,299,854,295,150,877,
136,411,601,576,546,076,009,854,188,870,037,668,453,497,573,703,421,718,424,
119,708,615,253,383,587,644,018,817,910,504,867,524,246,169,810,150,704,132,
078,521,044,386,481,677,708,898,312,597,862,855,312,981,847,966,456,390,179,
644,987,408,236,956,509,957,788,952,318,182,434,011,555,954,207,261,106,766,
326,865,226,058,808,531,960,315,399,917,328,990,702,445,220,918,101,799,190,
778,962,349,129,833,108,243,512,995,561,872,232,961,916,775,139,667,597,441,
295,520,956,135,634,080,569,005,032,026,317,845,584,117,559,111,119,946,542,
764,747,472,650,568,266,811,915,210,950,676,428,582,777,108,792,859,230,920,
589,429,825,839,272,926,214,446,348,620,825,291,478,869,019,885,085,321,826,
885,168,655,437,942,601,532,254,609,407,645,195,516,243,376,851,033,575,506,
488,558,041,193,809,490,812,439,422,032,639,239,202,908,896,996,518,894,682,
967,018,436,438,271,120,384,810,076,810,956,375,274,579,905,712,060,225,010,
219,028,764,783,783,698,598,924,766,776,920,884,672,366,757,044,530,396,305,
469,877,419,266,502,214,137,829,939,182,783,689,808,144,975,121,660,462,015,
630,535,444,059,514,873,134,169,484,326,485,398,191,790,308,936,092,897,296,
018,056,109,497,574,221,867,736,604,136,481,028,386,651,300,260,606,874,091,
322,040,514,357,296,487,811,940,421,939,489,575,651,575,856,414,742,846,563,
619,456,930,796,949,422,800,814,693,652,180,674,887,124,957,606,701,223,401,
356,384,636,338,041,930,041,540,210,329,660,947,616,472,524,377,451,370,276,
281,329,609,897,049,408,482,071,755,890,426,061,384,564,266,509,508,818,400,
053,692,922,313,674,336,672,134,325,358,192,386,947,881,004,306,682,579,699,
386,970,009,431,236,089,428,807,153,354,337,533,264,023,489,820,982,349,683,
888,691,353,892,505,099,884,521,621,882,928,915,940,861,733,969,247,174,018,
390,240,150,390,933,103,414,493,093,400,702,699,738,553,333,922,280,131,309,
244,290,465,492,440,572,908,254,844,995,888,583,073,105,013,876,571,196,491,
540,752,089,264,329,177,261,963,928,008,366,630,280,496,140,952,934,518,680,
072,130,674,259,433,039,863,218,433,532,033,196,989,476,630,189,347,485,316,
968,913,812,763,301,255,426,269,836,229,437,263,345,495,758,482,827,352,244,
473,204,002,262,190,711,918,252,523,458,864,392,321,901,687,991,180,629,604,
959,495,730,466,366,512,275,175,391,761,164,578,721,217,276,221,469,830,041,
485,633,356,686,041,728,089,694,378,568,202,716,999,378,342,944,234,298,251,
053,855,360,753,912,787,849,280,984,893,962,100,558,955,176,835,665,033,207,
206,672,749,321,463,609,970,824,396,893,809,750,920,490,153,424,393,022,039,
234,341,144,496,322,685,975,047,225,771,619,170,932,057,567,010,853,813,923,
183,675,282,205,838,232,603,522,382,043,919,317,495,242,682,639,337,522,891,
735,457,920,067,222,250,925,548,518,419,073,077,905,451,598,142,412,927,652,
266,740,207,638,051,994,265,867,454,511,016,894,319,934,556,716,509,795,840,
197,395,325,389,749,341,960,328,620,478,217,455,012,598,324,012,230,198,991,
016,587,113,954,466,006,726,187,305,545,463,649,146,223,660,385,962,651,647,
805,922,718,425,096,856,697,964,738,522,546,548,349,421,502,386,877,279,286,
187,586,472,726,033,767,766,539,738,931,072,105,526,203,090,559,946,426,152,
173,306,056,045,144,458,623,027,336,333,278,038,933,171,022,790,813,054,030,
809,951,716,086,473,711,922,767,970,222,437,183,498,872,917,722,245,163,090,
893,017,699,161,208,994,369,325,730,820,889,896,093,220,758,331,042,264,496,
944,622,179,320,151,136,625,420,491,236,522,373,639,056,516,620,276,129,695,
195,466,392,893,346,786,027,731,338,368,645,172,190,626,458,278,761,827,751,
222,516,937,405,219,908,735,300,046,537,453,725,561,952,401,078,825,811,117,
112,996,497,705,697,436,244,070,527,650,853,348,553,173,575,886,188,258,991,
239,137,556,444,981,212,269,280,388,750,088,751,944,682,887,105,934,419,335,
567,415,325,071,647,326,494,102,368,232,521,596,170,142,506,802,443,681,967,
671,752,019,458,216,154,645,203,663,980,686,751,449,208,298,782,312,113,001,
984,756,391,538,877,135,174,410,223,363,208,821,499,176,181,833,931,070,536,
850,136,108,808,991,134,432,925,001,381,049,277,998,561,663,008,109,289,029,
768,349,796,287,569,036,723,057,876,985,125,975,298,654,457,051,778,882,665,
304,861,025,487,247,912,168,127,499,808,767,209,929,460,426,914,522,169,731,
878,713,631,544,440,913,084,164,605,408,243,871,022,341,452,282,503,522,775,
391,877,621,995,435,564,431,884,797,089,691,289,426,845,675,936,594,434,357,
953,476,837,183,654,504,798,526,367,365,311,946,920,453,667,791,222,509,942,
257,402,868,639,786,818,122,389,155,878,489,956,039,170,656,894,024,333,371,
810,540,270,147,284,267,417,500,325,457,459,466,669,528,478,369,946,993,772,
257,268,915,130,428,196,989,299,941,324,836,035,729,937,033,435,518,357,767,
249,988,135,066,985,650,409,892,518,359,686,061,614,202,363,756,024,888,372,
970,964,574,804,522,963,977,945,744,527,494,107,476,977,895,650,153,193,281,
924,961,777,934,447,607,706,845,625,920,890,401,995,110,634,072,122,667,785,
085,164,386,708,495,737,039,667,891,869,515,537,093,658,786,958,427,511,576,
535,508,690,723,901,747,893,995,555,944,145,111,119,279,445,881,635,086,894,
901,712,044,731,424,081,467,414,095,968,529,023,354,814,632,058,157,798,575,
844,850,101,021,786,870,978,297,969,363,125,181,973,339,305,659,207,268,356,
990,896,478,175,290,854,230,531,439,318,262,464,338,359,549,947,208,712,356,
355,376,076,712,279,925,557,323,917,159,479,647,317,210,364,139,016,754,630,
461,063,393,020,096,305,141,635,505,535,323,456,398,908,573,805,219,706,019,
996,080,625,203,340,754,256,662,649,385,972,024,427,671,686,664,848,428,776,
931,220,071,769,143,225,293,522,653,679,631,526,762,682,946,722,736,088,280,
316,247,476,078,737,979,568,326,801,265,640,547,594,879,822,880,804,583,437,
301,698,836,379,388,151,203,762,355,747,587,358,134,375,764,826,668,857,944,
260,897,988,598,441,901,386,201,652,736,450,613,384,450,400,282,723,815,249,
941,206,360,465,819,319,247,502,381,865,931,942,903,787,909,384,844,349,579,
353,142,882,392,192,404,543,534,582,251,886,395,961,880,323,839,084,738,659,
317,003,215,243,912,714,236,628,868,610,624,239,032,845,969,257,599,611,198,
023,502,110,257,464,891,269,237,084,728,211,313,211,041,626,269,513,510,047,
766,897,865,462,967,101,468,272,987,493,161,927,064,169,989,100,529,855,326,
158,515,713,651,777,034,949,105,681,001,859,282,765,310,884,671,643,323,410,
860,442,356,810,263,942,097,629,278,764,329,846,782,502,484,818,395,693,629,
442,892,589,744,291,745,685,161,076,779,528,152,444,100,334,777,086,791,652,
742,962,830,840,238,852,527,757,623,170,469,139,493,714,123,490,838,000,707,
240,350,436,055,471,501,278,037,752,110,277,368,470,426,445,711,909,268,997,
970,222,821,142,066,286,591,341,952,557,927,009,648,361,508,793,917,114,994,
750,728,122,688,993,003,663,552,849,663,985,268,437,574,221,238,110,234,246,
690,637,280,529,945,023,033,400,144,526,406,482,537,898,681,372,968,270,759,
644,580,659,223,557,819,710,356,680,459,486,065,426,362,366,779,468,245,318,
484,109,240,851,827,994,894,809,512,498,271,224,055,897,560,940,062,725,573,
391,628,545,459,822,702,453,189,512,797,822,595,668,848,135,782,243,991,211,
206,408,556,730,280,131,343,021,352,761,996,289,753,553,451,661,102,160,603,
245,939,933,590,904,935,712,676,575,713,408,943,341,814,436,184,210,368,489,
287,561,629,382,561,965,615,177,843,893,480,256,881,298,997,785,140,449,728,
846,118,054,003,610,543,438,400,451,166,898,750,684,116,447,985,859,035,676,
890,530,030,906,131,106,581,003,574,702,566,302,249,972,975,939,447,068,499,
372,339,027,276,708,530,813,962,047,958,990,290,673,159,196,612,546,439,122,
566,010,658,931,789,162,412,292,193,593,902,401,975,466,225,329,115,034,427,
493,305,714,203,017,919,015,703,261,713,082,636,076,120,884,928,131,018,507,
427,828,274,230,791,498,931,259,166,337,589,717,695,400,510,575,002,268,502,
040,477,785,645,592,323,144,245,528,762,484,234,600,653,568,903,058,291,281,
423,233,913,549,216,499,989,594,899,788,580,177,604,835,182,274,691,181,660,
271,053,051,591,517,334,254,246,079,881,523,035,167,379,118,324,687,256,053,
133,342,839,700,015,669,605,420,903,535,327,370,634,479,481,352,980,750,092,
472,637,711,965,347,032,456,684,624,134,432,889,498,552,071,933,132,827,717,
165,684,639,459,735,880,272,049,046,182,730,481,417,905,818,998,395,788,539,
438,545,124,400,996,591,563,269,775,748,154,591,216,542,265,748,792,293,820,
678,450,391,007,144,813,234,215,203,797,341,995,279,585,641,426,442,758,932,
309,236,533,259,512,197,416,161,908,731,809,142,111,374,447,773,922,624,746,
879,979,028,328,077,619,906,636,813,741,403,071,453,075,902,683,939,009,129,
883,909,622,879,838,626,998,265,981,538,772,506,431,343,768,140,041,592,436,
808,749,567,756,804,626,974,998,935,631,304,758,979,277,946,185,906,751,531,
773,690,717,589,627,175,854,435,705,245,086,839,564,364,496,930,552,743,120,
920,607,364,461,377,579,392,395,262,789,220,799,663,754,470,695,760,302,208,
912,488,533,657,771,371,652,334,074,271,037,385,554,596,874,087,094,493,466,
139,161,452,169,957,423,674,651,323,803,075,508,713,525,051,418,634,395,413,
798,514,598,473,042,397,590,230,536,509,577,219,536,287,293,268,560,961,805,
324,861,654,072,470,639,566,384,409,225,732,684,500,049,816,165,899,279,218,
537,445,099,636,830,652,789,402,298,659,433,083,954,102,580,833,312,034,690,
501,097,816,978,992,054,435,118,150,075,369,086,928,919,979,402,680,476,411,
114,392,502,152,444,048,933,023,410,289,826,541,649,951,440,669,860,554,988,
010,884,038,620,595,676,086,231,609,482,378,072,611,987,248,958,111,889,879,
624,984,301,849,773,280,824,491,138,428,522,817,104,501,836,369,370,392,202,
978,820,409,583,420,572,458,551,695,072,485,423,613,500,940,727,521,483,444,
075,047,796,882,232,953,033,350,159,494,764,265,353,546,607,615,490,643,709,
562,962,549,112,795,953,753,316,810,811,586,601,238,209,343,901,092,608,036,
884,286,242,672,118,473,044,495,803,051,553,509,541,774,523,450,473,543,121,
051,208,655,328,242,744,291,843,488,139,301,216,063,800,668,170,539,530,943,
062,989,886,298,865,445,353,677,672,686,256,402,519,598,641,824,065,821,839,
177,080,690,461,102,296,691,266,947,168,025,098,279,946,196,543,714,269,039,
422,200,441,588,776,105,575,763,096,540,383,069,252,017,050,950,042,708,786,
635,010,872,204,163,990,303,673,425,118,526,842,767,864,864,924,368,918,326,
901,228,820,374,284,757,384,573,552,132,242,183,806,634,990,866,861,608,789,
788,585,994,752,202,260,622,263,563,560,411,048,761,686,257,481,188,240,188,
258,811,613,931,757,847,372,462,872,402,448,496,295,397,599,008,109,014,664,
137,068,103,918,363,919,071,692,541,347,584,786,253,969,779,802,693,884,469,
468,373,206,088,651,746,713,316,109,902,944,007,633,051,858,330,849,922,273,
488,742,424,667,098,851,941,056,189,570,598,657,034,456,368,702,865,133,312,
526,003,520,440,702,226,668,963,945,443,369,838,270,385,419,862,026,752,252,
691,669,095,005,330,340,453,686,650,890,646,418,581,542,658,823,905,611,347,
301,500,544,049,787,083,519,387,876,186,572,812,395,914,922,669,410,545,446,
666,151,557,779,339,404,257,877,917,630,299,278,457,670,770,076,550,265,406,
847,936,644,484,556,721,658,603,666,262,221,590,385,593,723,773,393,436,911,
175,814,267,241,353,831,861,965,679,021,416,213,618,559,886,532,672,977,464,
721,046,768,954,028,685,984,528,895,707,839,304,740,828,685,131,443,702,061,
562,205,386,234,722,311,299,547,590,673,775,622,730,146,647,145,730,535,395,
075,530,199,690,065,329,471,315,707,327,924,137,268,368,824,249,209,740,497,
673,082,620,888,316,657,992,481,388,668,139,958,219,796,737,703,832,110,328,
485,874,578,863,526,221,558,639,642,761,892,635,335,778,310,459,182,049,953,
631,214,648,105,490,905,862,440,340,291,371,635,783,537,356,958,727,056,289,
673,158,465,659,277,330,572,093,122,550,788,481,507,439,224,587,664,667,832,
284,609,842,821,704,360,199,481,271,475,517,155,898,331,262,401,465,788,007,
452,853,020,073,613,999,950,348,570,375,584,243,927,839,391,124,019,070,552,
630,932,781,473,892,020,448,626,703,669,554,412,982,769,646,029,063,876,547,
108,685,207,736,059,073,426,148,300,364,990,375,890,295,262,551,790,549,028,
463,217,478,558,812,875,426,329,810,475,408,838,716,678,138,693,370,079,718,
893,581,472,073,476,794,624,482,499,486,177,372,621,864,690,346,903,972,822,
193,197,322,370,320,435,458,344,025,548,726,972,809,882,283,426,712,214,504,
273,370,639,734,260,392,757,772,384,854,011,356,099,612,294,691,442,675,616,
864,603,366,844,249,599,582,863,955,583,514,524,501,721,315,540,076,803,176,
841,494,127,391,025,294,718,352,524,845,248,571,747,426,352,532,723,379,029,
676,693,686,112,633,259,246,088,470,928,043,046,414,135,955,573,421,826,639,
216,537,567,002,729,371,541,109,704,419,948,786,441,666,296,434,491,239,490,
485,428,173,816,254,160,607,169,206,188,972,075,551,458,855,809,471,463,296,
192,946,512,506,397,395,978,879,972,299,149,418,469,330,712,032,218,272,052,
059,738,873,692,024,162,537,371,558,721,159,591,725,128,099,105,118,039,973,
768,478,828,812,821,668,156,830,912,643,619,736,537,659,510,040,865,568,325,
042,928,231,584,259,258,796,870,221,707,921,269,965,672,929,111,301,898,977,
114,283,279,790,571,097,247,714,927,906,096,120,097,934,806,683,954,876,038,
153,597,422,527,786,037,394,364,164,664,929,497,847,977,746,386,968,045,959,
541,383,081,043,734,824,027,202,180,461,455,377,632,819,733,902,632,456,274,
279,934,114,792,776,872,843,426,724,670,788,969,035,754,527,665,175,313,787,
582,208,475,175,053,143,179,213,369,295,284,017,832,315,398,024,330,250,104,
557,173,670,263,156,387,599,549,119,488,168,097,481,952,737,660,446,814,888,
041,644,245,443,486,062,920,898,691,491,556,163,368,102,194,511,494,670,038,
012,845,462,596,309,780,425,764,999,868,684,105,596,948,449,407,795,239,552,
470,752,594,201,576,024,744,663,448,061,573,115,316,164,433,563,606,562,693,
765,703,150,118,303,855,360,338,099,184,601,293,150,822,840,690,331,253,382,
438,431,295,502,890,425,140,473,354,199,653,375,607,090,163,550,311,606,124,
643,782,802,264,608,405,170,872,728,405,159,660,591,707,647,461,681,338,132,
099,504,080,648,271,655,785,655,035,156,073,568,545,664,160,833,580,238,904,
124,176,458,589,989,720,213,899,499,357,018,120,588,221,232,671,577,947,635,
227,177,600,921,450,146,276,193,653,180,079,558,848,830,625,494,674,509,312,
026,215,622,992,766,261,478,017,777,779,433,864,958,881,047,288,224,372,220,
419,182,926,260,181,964,878,065,595,312,649,506,084,442,123,219,563,784,850,
632,796,862,762,432,344,918,474,384,512,127,086,425,061,111,294,666,357,315,
754,449,454,349,902,079,776,956,451,281,078,800,897,048,207,207,820,480,510,
044,429,366,704,873,906,206,660,563,988,113,718,863,920,911,591,240,211,993,
213,547,030,770,220,477,607,658,759,678,093,276,801,784,167,997,121,084,430,
545,928,233,807,184,311,805,339,920,088,010,221,341,305,010,277,095,661,315,
256,105,602,333,834,614,592,595,988,028,615,325,213,739,597,955,558,388,659,
843,151,338,339,424,087,853,123,798,158,220,311,232,963,988,619,848,116,741,
210,713,428,162,891,839,907,436,160,235,368,016,844,363,739,294,377,890,357,
949,709,401,122,349,166,358,351,555,360,718,365,730,359,164,575,353,821,708,
950,414,841,637,098,097,646,710,042,901,582,568,356,618,110,624,549,443,511,
682,184,080,185,252,987,184,621,028,922,398,653,949,539,462,117,885,354,877,
729,392,805,259,267,972,064,053,699,410,347,717,299,440,821,713,902,088,154,
133,934,137,353,249,112,945,906,013,298,235,200,417,215,605,693,262,966,650,
654,013,799,716,054,587,079,153,038,903,932,935,445,342,857,117,163,845,708,
115,681,906,043,693,682,463,435,662,954,429,397,575,401,624,322,854,736,536,
562,601,252,929,446,081,831,421,172,826,573,275,288,407,910,298,650,068,762,
010,132,679,146,482,141,656,134,532,474,576,251,423,558,946,485,375,790,725,
362,548,254,865,977,615,689,525,375,518,656,479,209,127,489,057,555,659,457,
086,648,245,136,683,391,995,677,080,202,875,239,575,643,111,189,360,955,432,
218,016,662,599,419,855,638,289,894,738,713,432,471,039,885,641,559,636,769,
022,825,449,378,850,030,672,643,250,831,838,084,495,835,187,340,017,896,973,
325,520,878,302,902,410,566,560,390,495,023,344,454,389,023,976,219,470,230,
025,622,240,168,433,828,573,768,499,919,645,024,227,436,055,244,301,333,767,
405,664,777,500,120,478,673,615,418,913,207,160,527,087,421,447,212,197,790,
859,690,410,226,992,132,106,159,049,322,817,859,338,451,375,816,127,633,011,
268,833,114,966,739,924,647,750,490,835,859,912,119,092,855,673,921,225,950,
675,267,339,557,266,738,383,177,674,425,439,621,709,659,348,600,316,727,548,
239,187,796,283,926,884,250,324,124,522,791,733,426,292,253,414,542,426,706,
748,156,403,132,523,487,410,756,786,695,375,370,623,249,664,667,531,267,244,
957,251,397,469,794,339,312,081,114,525,563,634,235,444,500,763,607,318,142,
501,793,945,610,391,514,084,584,844,515,686,276,967,474,771,301,989,007,587,
639,142,813,994,829,276,821,016,565,399,121,862,137,221,922,482,931,512,104,
221,139,103,712,503,398,770,741,215,729,500,873,363,743,084,503,032,373,842,
810,733,932,093,941,171,923,807,673,859,443,566,606,765,991,765,752,187,431,
520,988,415,833,481,001,728,128,925,460,612,442,361,874,654,596,827,399,071,
023,414,063,083,301,053,457,938,651,878,670,249,397,769,096,048,568,376,148,
172,096,926,574,410,164,696,156,302,625,042,019,940,898,633,219,999,258,208,
492,396,773,543,466,129,529,806,796,973,316,540,621,758,155,846,289,538,493,
363,365,197,401,587,942,552,057,115,238,252,397,399,208,381,501,547,909,779,
186,880,484,158,942,026,918,485,581,940,534,651,579,085,718,395,179,684,850,
067,235,105,587,015,217,415,356,820,443,849,017,672,597,841,906,837,614,265,
281,614,456,743,674,215,711,898,959,522,777,318,975,209,775,406,920,119,480,
272,396,990,000,969,713,148,194,075,203,885,283,310,166,821,940,340,404,614,
423,090,527,164,453,902,609,548,906,769,356,191,317,664,601,960,318,701,373,
798,087,706,504,812,115,336,691,377,230,817,007,107,731,453,936,049,534,095,
334,640,977,699,790,947,141,367,110,851,540,541,479,771,115,922,167,907,357,
486,884,064,126,113,801,354,146,738,154,348,720,452,311,174,179,804,071,369,
503,074,303,407,507,143,042,404,766,818,162,815,870,583,271,444,822,030,435,
744,884,345,207,617,142,773,579,791,878,009,019,191,293,834,883,675,599,686,
430,283,034,872,818,528,670,160,329,140,302,931,760,933,952,341,537,896,081,
081,358,103,812,405,941,832,285,723,151,877,807,096,985,633,491,497,156,385,
754,310,592,727,475,638,536,463,958,149,159,460,856,121,658,275,640,825,361,
008,100,042,631,829,802,340,020,905,744,893,641,299,808,929,255,252,941,883,
380,072,373,203,955,765,787,556,597,873,258,404,485,731,649,338,689,333,151,
332,136,475,870,282,400,781,519,283,780,469,587,409,129,075,607,698,080,842,
518,476,059,540,238,159,137,867,307,688,262,198,130,490,285,788,783,470,259,
178,773,340,784,522,518,703,818,492,851,673,627,133,809,126,791,481,014,852,
652,282,331,322,151,173,638,145,904,059,393,963,031,347,920,686,443,844,813,
842,676,974,902,135,692,726,444,603,518,453,342,604,092,998,355,970,708,512,
317,759,229,444,497,420,350,614,075,196,016,088,381,187,104,766,141,784,565,
882,290,863,783,852,564,210,520,303,922,477,615,897,011,998,266,898,474,995,
831,912,519,078,391,942,792,937,646,246,140,810,976,340,071,278,630,812,950,
572,486,928,619,327,934,098,292,089,505,273,617,258,729,657,915,819,593,904,
723,704,320,169,884,789,944,165,240,027,390,712,223,574,470,981,113,217,081,
231,078,219,632,191,944,799,296,483,738,983,932,723,017,775,178,323,056,043,
576,661,666,190,675,591,894,846,167,965,069,995,001,911,787,290,628,716,857,
304,984,226,311,465,603,316,577,830,067,826,832,364,049,413,251,982,767,540,
218,307,408,195,817,855,902,146,971,516,253,697,863,181,799,782,340,907,699,
028,393,559,779,213,851,243,545,483,800,636,418,014,131,339,306,567,015,218,
960,297,525,016,123,337,861,155,713,738,113,887,777,162,550,939,463,154,087,
596,992,965,253,026,906,957,164,412,060,337,015,684,668,013,582,368,401,484,
124,832,632,527,244,189,117,597,258,222,067,965,361,535,450,032,357,101,371,
989,299,165,155,590,637,200,701,138,524,197,048,363,612,870,171,630,579,369,
093,996,432,103,564,692,610,140,758,409,445,283,987,360,288,328,112,903,798,
093,432,802,182,638,944,105,907,514,985,142,556,811,964,616,779,348,118,168,
921,231,298,808,412,797,947,084,858,972,195,506,924,894,775,078,874,097,147,
094,885,177,359,850,287,513,710,906,268,811,427,835,902,806,130,130,068,422,
785,209,597,560,314,653,986,509,674,792,695,071,909,078,169,193,638,625,159,
218,566,018,594,554,302,284,635,658,464,529,526,363,536,802,228,569,907,135,
982,475,612,189,170,591,395,122,130,689,315,704,745,005,125,833,278,628,759,
345,001,600,838,040,399,065,328,871,653,636,742,131,104,919,330,993,645,952,
004,450,940,955,880,836,208,349,323,584,963,156,919,920,132,285,062,931,282,
624,227,652,211,760,218,520,367,184,049,485,718,881,311,875,158,327,834,195,
240,442,523,035,366,505,037,733,445,813,474,491,518,879,521,054,901,930,650,
521,741,776,133,276,738,097,020,424,590,431,571,163,123,825,826,904,900,852,
978,477,096,335,091,402,492,971,412,182,701,342,315,573,335,286,416,627,546,
738,000,131,420,939,297,515,544,603,387,694,942,466,543,777,555,769,084,077,
527,116,509,881,709,486,465,934,715,153,085,167,855,313,819,082,343,991,313,
677,288,294,823,637,885,996,758,897,251,607,703,271,053,233,236,072,154,535,
931,772,066,435,700,198,825,589,573,917,567,637,992,610,005,321,544,741,963,
393,968,591,435,310,542,326,580,593,344,992,264,097,576,785,499,447,365,566,
967,637,992,962,514,537,282,478,909,242,362,935,379,321,063,532,818,357,961,
173,478,429,530,415,416,651,100,449,525,553,778,468,516,280,903,395,625,759,
355,086,862,048,572,241,807,087,956,662,205,615,068,790,060,804,642,083,439,
646,674,161,440,056,261,593,541,034,348,321,510,204,790,740,149,075,002,160,
501,808,820,038,639,148,421,878,253,306,254,122,385,819,317,559,795,038,044,
051,338,762,010,789,704,991,114,494,901,578,165,009,794,996,837,908,350,714,
788,631,118,556,887,483,299,307,080,518,433,860,032,087,832,069,959,076,607,
620,666,924,180,749,619,342,692,855,335,322,934,273,528,759,496,051,354,994,
150,489,845,610,360,012,311,741,824,021,961,797,046,758,004,780,202,005,478,
593,139,314,204,266,071,952,538,489,389,477,029,759,578,793,168,145,272,068,
631,295,163,345,894,217,441,766,639,271,707,716,558,011,349,068,429,468,048,
407,351,722,015,475,510,012,232,542,421,656,737,860,716,173,949,515,226,895,
185,526,872,446,742,544,842,682,916,210,179,346,403,998,981,378,120,517,217,
591,491,524,090,351,663,132,266,994,014,698,981,907,037,963,595,922,710,238,
926,085,088,110,020,596,969,830,914,621,248,397,834,462,329,164,964,887,939,
927,220,987,190,193,577,059,063,454,056,554,819,824,788,981,010,829,508,194,
565,431,959,199,500,324,513,956,113,614,742,636,122,168,569,156,319,338,428,
420,086,065,424,617,065,441,657,699,239,717,962,177,478,423,042,621,411,962,
704,093,681,462,705,466,154,560,473,489,492,623,081,029,839,378,282,402,972,
688,033,833,423,404,649,729,869,457,033,750,407,439,301,136,319,928,406,962,
709,758,966,858,243,625,563,701,896,024,224,913,778,114,932,193,576,186,636,
746,779,253,846,204,336,980,727,580,991,419,910,587,196,216,717,674,613,742,
498,959,809,610,852,502,116,014,301,569,249,291,416,037,091,285,534,221,105,
796,273,600,320,678,865,028,421,258,356,477,227,614,750,168,065,116,033,613,
603,289,660,091,018,117,378,299,317,911,491,317,409,231,039,790,328,389,581,
635,155,059,522,896,901,118,284,873,933,276,698,949,350,069,086,995,148,643,
344,328,424,794,047,558,770,434,681,292,859,315,066,145,451,791,235,998,344,
412,199,863,607,722,493,539,559,227,496,478,587,252,524,137,654,410,392,144,
837,390,862,732,499,239,983,689,167,428,401,785,556,455,608,997,277,778,904,
906,167,333,127,414,097,377,719,059,704,159,877,508,150,912,715,100,663,457,
620,858,651,798,281,400,352,493,509,415,171,110,078,423,803,171,953,828,288,
654,645,124,425,842,617,719,882,889,822,129,345,145,509,035,076,977,644,178,
004,893,822,563,721,715,348,058,889,134,845,678,461,335,912,426,201,415,618,
269,586,129,378,948,403,618,286,103,974,150,081,503,066,534,750,370,496,293,
526,754,586,413,532,154,470,355,686,637,234,965,548,982,229,516,069,981,902,
172,261,906,718,824,294,096,157,277,565,621,681,454,978,159,056,182,438,863,
851,945,652,449,309,271,100,406,339,266,255,357,559,635,824,030,886,849,234,
188,215,135,227,966,528,503,446,806,519,051,053,142,274,685,736,343,432,250,
628,701,454,512,363,931,044,203,122,591,647,325,950,576,298,961,818,248,976,
988,511,869,115,643,640,463,001,038,674,232,965,761,536,505,142,738,019,052,
553,383,450,764,853,230,995,989,971,794,702,523,900,975,014,063,158,531,002,
283,715,833,509,233,712,581,335,579,948,066,642,955,654,396,915,498,963,655,
662,929,535,654,849,152,609,398,492,832,882,389,097,294,137,346,913,457,322,
417,650,142,006,340,098,107,327,839,659,204,651,427,352,491,963,762,549,876,
557,906,504,949,874,907,665,718,079,037,356,681,822,767,917,120,106,484,585,
654,160,706,802,117,521,949,867,714,391,816,185,050,312,859,814,148,001,164,
560,582,971,457,556,127,844,003,916,784,438,539,511,549,845,505,743,266,913,
305,081,558,369,744,455,896,210,529,527,764,710,254,274,526,558,796,977,310,
880,224,218,746,457,840,562,064,871,405,014,960,868,533,098,630,565,529,527,
442,832,380,097,523,397,709,000,296,881,087,330,502,590,971,326,751,266,565,
132,968,682,346,140,198,916,949,304,007,399,562,245,158,055,809,010,491,230,
796,118,890,057,842,836,833,627,024,913,706,280,832,698,173,798,253,765,300,
093,920,299,223,026,979,267,164,659,154,076,615,642,243,788,096,495,614,423,
092,373,491,721,360,599,468,032,862,731,660,529,314,297,449,673,436,996,451,
475,877,433,588,227,288,202,700,090,042,990,213,197,855,000,222,351,573,145,
999,849,539,362,183,647,881,589,212,314,919,484,255,069,441,733,689,385,284,
020,151,167,093,889,433,210,932,888,625,719,653,337,718,105,134,478,529,378,
630,430,884,477,495,988,755,979,058,024,664,557,500,924,765,503,970,929,801,
329,219,567,334,280,464,303,560,033,887,995,965,828,467,793,997,093,681,855,
573,711,230,809,467,236,828,917,356,334,736,087,905,777,799,218,016,770,158,
634,976,231,046,928,325,737,100,380,951,480,996,892,275,027,204,295,966,773,
170,719,269,019,595,234,405,911,543,542,863,473,765,566,720,711,314,240,856,
281,156,492,532,919,339,904,529,758,988,734,455,259,924,143,159,922,652,968,
061,444,050,348,744,029,755,131,767,250,985,434,306,898,749,357,182,856,975,
648,749,694,437,466,955,920,565,599,892,562,879,986,718,879,467,176,286,187,
753,591,192,050,116,668,483,274,043,651,736,878,800,013,554,155,862,483,904,
396,780,480,374,812,181,266,428,059,586,793,264,288,551,020,036,902,526,237,
019,323,555,638,935,622,432,934,535,839,666,261,931,808,204,542,832,900,932,
218,618,538,833,384,477,015,689,871,251,962,429,994,852,410,950,916,067,627,
969,993,740,451,745,154,724,597,866,092,195,508,465,993,948,382,788,375,522,
160,838,235,344,873,921,532,776,321,507,064,733,819,970,972,959,590,225,967,
758,596,099,621,908,023,141,430,609,023,789,358,573,259,443,194,467,322,277,
602,751,698,659,371,755,015,535,420,301,716,346,528,013,573,023,189,473,347,
891,770,575,170,051,331,918,088,876,716,535,647,745,932,024,546,331,900,105,
107,581,698,035,358,493,510,396,966,269,275,923,389,699,146,254,561,949,894,
599,708,032,744,048,103,737,896,754,954,682,252,557,638,865,136,302,544,291,
919,368,698,518,740,035,236,635,511,823,252,392,136,497,521,734,972,232,044,
191,949,597,939,336,079,646,373,673,161,250,208,436,068,815,386,102,513,858,
018,640,849,032,048,435,913,005,337,253,051,404,793,152,091,511,728,018,110,
210,843,770,345,657,611,646,317,033,962,175,540,895,912,659,196,513,970,040,
136,060,062,152,327,738,928,380,620,644,740,460,109,308,392,745,760,067,769,
627,371,756,906,210,618,049,297,605,524,687,199,410,269,609,451,025,518,304,
733,551,936,461,638,982,138,064,305,166,799,941,492,365,314,439,004,932,379,
332,579,637,699,600,574,917,705,790,086,753,830,172,257,353,640,990,586,205,
651,063,657,204,873,379,731,543,155,167,705,502,510,556,992,952,879,623,595,
469,912,415,192,685,634,361,849,608,345,766,191,613,784,250,196,349,290,644,
453,584,867,443,636,655,697,967,111,684,602,290,118,152,881,458,906,075,052,
801,038,880,741,734,459,582,568,943,208,844,106,692,971,822,881,933,622,188,
133,588,412,408,781,389,064,737,396,065,288,731,856,322,078,704,064,286,639,
572,338,453,422,793,885,033,344,990,829,276,263,615,710,896,895,703,112,601,
776,350,929,095,158,544,095,596,058,274,709,221,232,603,206,048,113,744,913,
265,043,916,472,180,181,752,863,309,284,008,133,262,190,753,782,492,075,135,
104,027,077,639,808,827,706,006,051,927,321,241,320,717,937,094,793,506,947,
162,661,147,086,566,747,853,925,415,560,997,617,390,401,466,850,591,379,183,
488,813,612,204,995,340,309,968,541,838,980,593,573,357,485,629,510,885,057,
391,372,402,449,367,316,653,366,053,376,612,139,040,421,547,873,504,099,940,
317,743,173,629,116,076,528,498,897,701,665,591,588,779,940,220,362,820,662,
062,480,863,940,333,188,850,112,459,775,996,863,001,745,784,927,081,201,167,
813,005,535,719,853,584,941,728,015,463,159,829,826,816,120,286,871,338,551,
940,188,992,084,577,061,045,528,032,547,170,671,577,711,624,051,873,880,155,
989,382,814,792,320,967,061,339,441,872,001,931,745,326,884,065,881,073,240,
743,571,787,292,673,950,984,647,492,610,043,321,460,924,389,452,223,063,932,
644,327,576,240,532,644,841,809,986,987,981,439,966,248,801,822,061,949,388,
716,167,191,062,942,405,609,594,463,728,624,745,400,535,406,405,056,145,330,
154,507,276,829,053,993,067,958,382,981,886,197,787,464,038,164,690,712,393,
068,820,340,194,607,161,112,335,278,854,226,126,773,504,562,575,017,178,693,
209,492,538,915,701,104,675,794,988,889,772,068,588,206,532,420,207,944,258,
259,130,305,303,012,991,733,012,783,091,603,621,033,695,256,191,486,909,843,
599,143,641,334,851,811,265,619,459,341,918,985,842,545,483,205,448,078,194,
266,930,442,462,041,758,240,412,701,876,598,913,365,202,547,972,399,849,675,
357,991,407,857,714,795,434,126,200,829,843,472,832,103,890,082,046,701,742,
400,238,922,088,656,089,809,889,368,410,806,689,505,808,085,640,997,948,382,
143,436,193,244,556,224,751,189,323,226,527,930,486,271,766,419,066,368,165,
907,543,890,281,411,843,656,031,391,718,941,573,334,418,598,902,520,109,485,
472,964,901,961,076,358,065,508,635,606,663,645,167,894,715,447,769,055,541,
692,676,771,623,259,072,417,302,125,417,574,135,775,145,796,620,148,408,969,
180,378,240,884,404,327,046,062,638,008,262,229,140,703,440,240,402,252,299,
779,874,320,306,770,888,432,398,372,314,123,906,624,386,534,103,435,425,449,
389,229,377,204,523,171,830,785,088,794,459,299,000,007,459,997,822,221,117,
800,858,691,433,748,392,376,128,793,376,681,764,930,313,450,123,197,645,028,
473,782,927,358,033,551,110,549,953,727,836,537,869,311,008,189,721,343,636,
336,200,178,846,813,294,511,964,362,504,512,096,041,753,871,958,256,135,095,
984,924,154,189,522,718,301,846,758,550,574,329,206,540,498,979,653,271,620,
264,678,391,362,567,906,443,485,384,958,116,286,652,151,254,743,541,218,534,
625,328,933,702,722,461,253,802,591,560,878,044,052,242,631,095,707,634,855,
804,716,433,516,548,098,854,767,276,589,989,140,902,852,463,038,587,719,746,
400,961,999,503,956,543,759,959,245,682,055,996,255,023,565,199,788,401,758,
831,751,691,960,467,277,847,927,116,623,687,085,942,774,921,413,676,509,533,
330,528,949,514,617,200,626,455,612,812,481,634,499,753,468,452,953,976,069,
543,089,659,210,622,098,442,880,947,757,516,511,398,242,777,923,452,953,074,
835,289,265,431,633,208,286,951,793,880,512,784,997,396,969,263,451,029,207,
088,944,734,827,732,316,015,970,004,032,498,598,356,150,621,475,289,069,787,
214,294,702,280,442,902,130,929,899,115,950,315,809,159,693,818,291,286,905,
903,836,127,255,122,535,174,428,940,786,328,160,968,309,248,097,972,960,890,
849,562,718,819,434,504,670,768,234,981,503,222,891,473,542,207,705,252,463,
410,123,989,585,119,882,145,205,136,404,524,697,929,728,014,767,476,367,896,
886,783,389,819,102,380,323,779,164,877,642,099,669,817,826,126,719,613,917,
995,751,916,787,866,625,225,324,427,180,703,513,667,031,499,977,812,978,771,
499,125,826,628,029,844,913,396,210,512,065,222,183,272,075,197,391,551,485,
643,085,674,828,212,988,878,312,401,381,779,272,920,269,057,092,434,727,354,
799,411,885,009,214,331,734,510,725,001,437,318,703,522,170,159,987,848,160,
890,012,346,665,984,806,774,126,393,014,394,101,533,467,287,054,096,312,896,
658,409,294,449,239,380,615,672,159,664,515,466,431,658,992,613,222,418,085,
982,838,961,363,121,438,689,951,887,643,444,066,395,686,895,324,966,807,944,
104,617,788,851,043,908,119,704,041,067,128,159,566,728,117,730,039,713,044,
918,080,092,915,505,464,700,997,602,797,803,387,341,726,168,938,018,630,265,
764,811,640,453,429,653,418,578,126,541,982,284,245,452,889,787,723,650,554,
783,215,151,136,567,931,151,796,747,241,078,254,247,251,555,725,120,133,433,
349,535,322,846,119,609,442,838,628,132,130,544,961,173,833,206,916,737,991,
725,065,183,531,673,845,901,921,934,387,307,837,528,204,710,130,472,747,957,
574,527,649,483,375,024,653,658,777,844,372,799,811,515,707,239,674,098,641,
206,490,418,258,138,487,860,867,998,634,990,247,635,204,485,201,490,003,001,
408,585,896,217,933,124,463,217,237,028,236,597,793,801,351,284,839,308,717,
966,631,784,424,075,975,434,933,985,415,547,069,788,671,909,298,670,517,141,
317,371,479,087,910,804,657,674,907,313,733,006,343,350,911,073,044,679,313,
272,856,516,614,241,403,107,062,583,253,662,021,857,180,559,495,080,430,125,
015,116,057,977,780,607,346,633,303,279,960,937,485,771,122,888,832,224,843,
774,403,714,277,610,693,382,252,027,039,093,764,691,964,809,742,969,945,307,
341,381,632,825,719,394,307,159,597,045,796,885,043,104,393,696,600,944,778,
627,743,699,921,388,715,865,624,652,192,298,405,942,022,285,650,908,345,404,
117,334,734,221,896,924,185,060,829,851,937,283,932,945,509,792,444,453,997,
501,007,362,304,567,154,882,239,581,630,391,661,877,163,830,290,990,497,488,
133,105,584,715,533,346,080,943,977,859,824,485,265,080,435,749,527,265,246,
779,836,781,838,812,804,088,886,561,896,737,766,347,278,006,480,743,352,933,
520,463,013,702,116,214,027,557,059,675,900,067,285,833,731,385,629,047,317,
863,055,445,542,617,536,987,366,233,120,479,491,926,286,572,846,539,494,152,
476,445,884,704,120,614,013,651,280,017,459,477,392,313,421,267,954,009,624,
200,360,655,241,531,894,130,135,974,865,965,287,337,249,474,535,213,796,977,
722,288,092,621,629,296,829,732,993,056,454,912,330,990,694,965,347,819,272,
980,748,394,956,021,000,383,443,811,739,023,099,402,667,750,419,672,145,725,
559,895,573,531,981,876,190,031,977,929,770,638,828,106,943,580,862,608,607,
063,982,234,842,260,326,539,132,568,904,156,413,077,472,943,661,812,386,186,
056,693,017,101,431,687,824,918,655,235,827,734,518,038,779,392,527,425,406,
898,680,909,113,925,983,077,099,547,286,855,499,775,413,032,850,486,283,085,
195,546,682,611,470,661,783,756,883,393,881,036,183,464,144,344,736,433,571,
757,498,758,533,509,330,686,868,580,074,931,539,297,433,351,392,180,078,913,
361,103,897,919,943,522,686,864,106,010,085,560,398,502,972,734,461,765,945,
568,690,376,121,203,456,259,068,652,851,070,372,593,956,985,745,803,526,763,
988,860,824,144,235,986,128,876,561,905,963,917,648,018,240,660,929,788,373,
250,467,405,893,382,987,248,567,269,676,046,337,057,762,207,287,012,399,101,
567,661,220,561,400,707,581,554,816,640,536,163,450,484,148,590,527,949,099,
915,757,275,809,288,892,459,252,104,039,292,680,777,057,225,076,346,944,458,
086,183,696,033,280,927,625,584,608,505,952,831,069,232,871,653,562,319,750,
408,742,885,766,809,567,505,600,210,748,722,983,599,445,351,203,622,110,043,
763,914,073,416,242,599,888,428,334,015,545,178,169,857,207,608,124,067,118,
140,586,978,580,038,706,437,637,136,973,026,039,451,464,954,377,686,011,108,
402,895,757,616,942,616,049,278,920,931,198,961,999,152,634,569,826,295,026,
160,584,557,540,189,940,067,018,777,063,944,598,502,808,481,884,573,479,403,
269,262,279,207,815,092,921,759,122,333,717,379,295,808,320,727,089,465,379,
282,862,883,389,361,304,886,827,208,672,864,701,293,098,639,165,999,468,195,
384,003,842,818,555,473,675,172,330,010,396,543,025,799,262,444,035,306,311,
774,392,025,871,086,319,742,056,196,318,150,820,645,255,120,972,586,807,339,
307,259,294,379,791,438,040,762,142,880,544,068,346,862,858,763,784,443,810,
828,911,252,560,301,276,424,545,620,017,157,488,282,444,527,580,718,453,430,
028,820,417,874,517,827,634,944,164,079,975,620,883,494,886,782,364,598,292,
753,053,168,191,020,960,307,217,653,256,308,397,264,568,322,920,779,031,757,
119,267,663,386,005,372,535,335,536,934,530,541,981,024,218,180,846,669,837,
803,526,346,914,659,133,054,685,235,651,236,530,839,905,314,008,270,623,364,
048,853,635,474,775,453,014,631,608,874,399,544,499,510,145,348,256,112,033,
019,914,634,099,767,384,792,423,434,922,097,738,756,260,428,005,213,083,678,
494,205,894,595,146,175,128,445,258,392,709,189,519,144,168,870,317,600,445,
178,804,489,045,651,354,990,836,253,522,490,830,104,333,204,393,533,769,833,
209,049,813,280,031,553,593,514,828,393,315,554,333,270,666,260,524,261,060,
352,843,540,041,281,330,894,344,503,393,442,682,550,755,595,580,549,813,482,
087,316,315,058,846,602,476,131,675,178,031,968,126,376,667,279,020,571,613,
629,016,776,564,245,964,108,667,862,810,877,793,450,372,817,643,015,984,873,
610,412,579,344,806,058,227,801,355,614,020,137,246,309,418,263,972,594,707,
593,229,240,352,804,524,038,378,344,380,645,366,158,564,700,725,219,449,669,
217,112,678,206,566,060,543,632,397,267,734,344,126,528,312,234,789,484,271,
208,178,995,787,690,016,315,314,340,772,402,103,801,607,401,828,313,346,315,
276,951,222,291,947,586,389,881,320,919,714,293,093,220,584,680,148,560,715,
044,905,199,594,361,949,903,302,867,193,499,028,051,049,530,967,095,851,822,
259,755,685,593,567,616,982,558,696,174,353,243,328,016,128,017,173,341,928,
198,313,169,353,268,669,413,323,021,924,961,005,834,295,572,584,482,018,824,
370,967,657,586,091,370,637,894,814,411,647,417,584,475,377,121,160,028,880,
933,297,026,420,292,231,923,787,533,776,195,265,438,518,541,027,529,883,237,
619,504,529,067,155,621,846,395,325,710,159,569,524,871,337,501,482,972,653,
168,798,386,854,298,259,329,182,587,006,346,901,354,137,182,200,343,577,719,
813,417,134,623,799,003,059,686,217,568,163,515,162,858,079,940,474,066,485,
464,843,228,788,097,241,000,508,008,073,881,644,980,036,610,520,457,450,213,
671,515,983,202,404,233,127,096,466,714,543,168,236,053,280,042,019,164,050,
280,133,699,275,004,705,555,754,514,363,062,643,811,034,450,365,727,594,168,
892,788,455,842,487,052,510,535,541,524,144,543,110,087,897,366,769,875,667,
171,451,205,645,544,694,905,438,778,896,485,665,513,275,874,792,265,989,476,
350,112,616,205,453,722,712,342,280,933,816,806,068,156,218,797,984,381,940,
336,655,285,506,623,347,931,780,125,853,396,294,741,317,720,688,651,129,693,
733,984,676,557,838,497,305,423,158,156,070,153,552,413,211,430,854,826,643,
269,821,323,646,629,157,734,171,675,852,252,372,351,627,992,651,664,294,615,
257,157,043,802,654,035,036,956,277,132,102,538,018,470,581,590,360,161,312,
769,489,359,322,187,406,060,536,913,900,508,673,921,916,026,436,490,832,734,
568,826,755,709,857,650,999,575,358,859,788,969,720,107,331,197,981,893,084,
288,976,633,992,746,027,937,212,528,194,763,881,467,884,879,602,842,182,186,
463,972,508,618,950,257,919,722,158,585,605,319,116,954,003,396,348,443,266,
263,041,124,921,727,087,830,971,233,492,332,340,339,113,170,310,250,568,958,
536,606,352,768,382,127,873,519,276,853,272,175,876,521,378,410,670,759,243,
443,231,533,435,154,497,691,874,703,181,119,200,125,949,627,201,841,326,041,
747,914,258,498,762,704,186,827,584,692,082,043,996,324,965,866,092,070,091,
906,086,996,887,453,095,712,970,481,502,786,403,043,473,586,881,054,500,210,
452,748,173,830,695,862,009,318,043,632,648,414,297,112,205,736,783,430,315,
303,826,353,264,104,184,946,540,188,387,923,903,915,086,864,992,466,951,898,
623,351,732,746,674,652,518,029,781,308,297,474,848,363,016,946,407,975,510,
110,013,357,115,203,431,228,834,402,481,308,212,476,271,344,612,733,570,092,
918,107,183,301,496,206,386,881,065,485,786,393,470,984,670,042,426,510,957,
412,282,924,637,674,156,468,087,346,117,458,849,111,828,678,582,706,889,755,
798,287,857,177,498,665,044,700,129,424,008,701,464,898,603,716,456,219,603,
655,648,273,452,614,114,002,312,129,842,959,268,391,372,362,943,433,036,759,
997,191,179,703,036,222,498,884,720,449,856,937,429,940,580,835,258,133,145,
320,698,622,633,527,434,596,503,101,876,872,012,905,290,225,713,906,284,864,
335,969,451,751,268,617,844,215,759,776,607,404,928,542,367,323,044,457,350,
773,018,449,117,316,511,456,579,905,494,185,791,774,996,898,930,064,962,605,
313,481,625,958,304,421,427,505,778,501,055,257,064,472,146,391,000,875,110,
204,002,858,590,962,741,885,020,208,383,578,538,663,577,685,108,576,535,684,
747,658,697,856,591,490,612,559,373,610,092,168,022,118,736,411,753,949,989,
280,544,658,217,167,110,512,302,870,821,625,833,976,884,040,600,128,231,147,
721,503,822,019,530,405,116,075,962,411,532,956,377,505,033,205,817,549,461,
186,571,689,749,556,509,825,386,545,510,385,128,501,217,966,658,574,081,971,
553,299,227,816,295,594,955,515,867,292,939,268,563,016,503,267,577,797,814,
713,937,435,725,397,360,461,187,337,549,478,756,143,725,538,906,598,086,528,
436,120,086,915,220,214,034,125,617,237,857,512,997,262,070,463,153,101,633,
090,538,470,910,201,724,929,726,567,483,995,260,532,834,400,220,628,042,829,
203,890,034,265,419,914,212,196,174,122,315,476,038,983,484,578,511,658,739,
251,860,435,405,166,376,073,023,004,804,734,817,587,921,332,288,800,603,031,
894,012,490,039,333,047,474,425,801,484,650,729,367,249,854,533,796,385,913,
866,632,220,510,616,970,624,075,071,646,890,953,215,139,715,736,097,634,582,
409,608,501,054,408,171,997,773,223,694,439,437,597,396,318,111,321,022,138,
214,417,754,162,133,547,012,394,656,500,471,727,467,423,264,620,790,536,632,
560,598,476,144,621,163,184,387,808,182,349,370,346,726,970,329,179,370,198,
503,339,687,094,155,426,530,169,747,523,117,449,856,851,910,358,582,388,373,
135,703,256,957,300,342,558,102,487,249,345,980,596,945,732,118,289,227,582,
544,476,296,392,915,897,560,507,813,821,134,899,528,421,321,430,621,447,093,
160,147,273,000,752,431,842,984,332,351,732,965,223,242,972,551,014,827,585,
626,062,414,260,372,985,764,357,469,118,249,815,654,027,824,449,715,743,574,
499,403,442,107,370,332,222,466,091,562,093,297,278,332,244,751,475,951,564,
233,849,506,775,459,111,059,283,789,482,117,212,781,316,684,826,658,321,688,
689,102,965,340,878,959,374,714,491,276,175,282,396,316,359,534,128,254,115,
259,531,448,243,394,797,423,185,499,528,125,595,303,310,150,999,226,906,780,
178,254,384,337,153,611,901,863,835,332,178,948,245,542,600,169,579,888,243,
963,393,080,255,503,232,228,229,609,299,252,642,825,107,281,868,156,731,366,
522,350,853,458,041,891,272,784,061,087,817,887,316,404,861,309,444,993,474,
334,828,639,700,927,927,199,094,869,190,786,112,361,587,540,706,024,357,829,
405,086,841,892,266,827,138,106,214,464,760,445,037,397,713,394,503,966,215,
632,277,180,004,991,678,832,735,927,690,908,348,739,845,998,439,739,862,225,
746,944,384,614,072,971,459,386,911,814,797,435,560,926,071,949,651,059,130,
963,730,980,842,660,289,652,993,187,059,274,218,423,415,035,136,339,754,737,
799,558,274,840,398,948,537,853,386,952,663,809,640,379,763,322,052,825,096,
552,739,697,452,591,173,813,761,225,729,870,042,893,305,516,443,811,173,033,
789,356,500,969,921,156,264,709,825,546,251,695,173,534,643,769,069,680,969,
455,941,069,150,445,318,284,495,094,382,982,691,505,362,801,541,095,292,494,
964,023,775,108,090,387,952,863,733,734,465,577,349,092,512,031,004,782,378,
517,231,568,699,417,496,402,368,622,157,538,647,257,719,070,339,822,455,687,
651,064,454,067,573,284,405,951,099,362,810,910,017,438,874,283,282,746,945,
787,182,022,067,026,768,181,115,303,422,248,506,213,261,970,696,385,514,509,
088,525,354,585,009,764,570,388,283,989,712,317,409,973,597,877,542,906,792,
076,001,758,640,668,478,736,678,761,986,396,757,374,555,963,771,546,070,461,
575,092,677,381,261,996,211,660,470,606,603,028,155,762,166,128,226,932,155,
155,755,246,409,470,908,959,321,486,083,757,351,147,647,036,888,798,852,802,
296,436,130,746,290,374,037,321,433,996,649,921,983,836,195,445,358,064,330,
584,743,621,866,423,978,974,688,023,482,231,633,014,367,726,818,621,829,903,
138,994,245,315,689,180,148,384,686,381,980,374,453,607,795,273,945,557,349,
980,295,977,812,321,115,755,709,784,440,705,837,431,456,800,013,856,901,519,
024,842,462,718,920,243,464,038,837,059,795,073,316,693,537,176,633,696,861,
160,302,764,852,473,205,187,475,613,919,486,165,187,718,207,972,932,912,228,
071,012,150,216,618,769,889,409,630,877,781,476,042,217,581,895,898,443,052,
323,770,584,490,186,584,426,263,415,524,621,733,513,423,154,368,310,993,390,
731,884,810,031,542,732,135,756,991,365,318,714,349,963,117,385,226,279,983,
577,377,192,826,287,415,422,781,542,713,223,172,640,407,856,791,627,028,915,
439,250,766,500,637,261,646,180,011,630,741,567,922,330,022,581,253,309,025,
238,378,845,671,070,086,346,989,170,160,757,022,975,844,747,341,961,947,836,
435,078,227,964,144,036,801,196,832,666,453,483,172,707,179,584,326,189,825,
145,164,375,277,135,198,663,849,372,991,996,752,798,865,553,988,908,860,281,
326,833,388,567,202,895,935,214,598,745,061,486,862,498,838,583,155,210,023,
766,102,248,522,805,382,092,261,170,908,159,743,453,027,905,176,767,644,242,
018,986,841,697,523,731,332,280,898,377,542,032,414,708,692,510,561,424,833,
621,849,261,887,735,612,874,620,176,979,294,044,638,202,309,573,416,004,503,
149,818,895,654,501,472,747,483,023,045,898,186,564,830,820,474,397,945,217,
529,098,742,879,608,118,285,254,379,138,350,466,328,946,658,712,646,791,792,
531,469,433,397,481,742,458,988,993,010,953,797,312,980,280,511,383,456,814,
348,598,174,223,063,848,663,668,646,009,352,648,837,162,077,724,888,105,123,
032,147,915,635,766,613,758,615,275,189,757,728,064,592,050,052,112,462,016,
690,844,456,605,739,940,502,318,128,110,086,383,314,332,492,191,088,511,693,
449,204,111,012,217,978,233,935,141,558,468,502,289,604,788,361,982,000,981,
137,209,943,524,489,492,016,309,795,174,452,158,443,923,554,358,599,785,036,
983,675,544,835,078,165,886,757,667,151,453,827,131,020,421,630,354,681,042,
086,034,773,123,397,872,453,007,274,255,935,495,613,167,452,828,279,579,555,
808,707,515,874,686,916,570,029,199,219,652,071,160,209,343,534,656,890,002,
871,933,786,825,895,182,820,025,460,742,636,109,588,931,975,219,674,472,653,
779,815,910,852,325,778,585,334,152,105,171,325,650,869,720,621,663,383,815,
517,537,578,161,412,281,304,866,911,818,813,756,657,311,584,284,853,007,764,
425,936,242,045,599,940,021,503,667,506,694,208,608,801,830,349,433,146,014,
196,978,964,733,543,622,475,707,677,502,845,273,742,933,587,329,671,881,311,
979,685,254,031,595,158,185,646,553,193,259,090,155,810,371,584,510,765,500,
661,888,620,941,985,614,115,248,465,641,908,661,543,192,276,550,472,554,721,
441,198,824,069,030,930,471,816,611,504,022,242,170,588,068,593,693,126,232,
083,153,666,158,112,802,535,361,952,098,425,549,955,437,227,716,755,015,311,
476,539,649,434,829,142,667,052,548,299,595,360,453,562,988,451,766,856,407,
512,846,808,958,061,532,214,830,033,380,047,487,259,806,219,687,748,781,842,
833,833,344,419,153,804,388,342,139,562,287,190,334,719,460,872,833,492,649,
005,848,002,040,802,609,310,799,095,268,921,231,977,736,017,377,691,132,380,
704,318,441,538,646,403,329,283,040,775,468,209,751,036,520,961,872,825,349,
779,264,506,735,988,281,254,960,615,153,651,802,064,791,495,866,061,581,435,
334,490,638,393,748,816,639,794,078,345,535,735,900,582,787,065,403,920,492,
583,800,632,802,588,501,804,235,828,907,195,025,503,707,535,513,597,553,985,
089,257,791,158,104,318,591,691,610,950,215,634,602,049,124,865,318,929,682,
362,175,453,986,164,357,726,609,225,500,014,988,151,831,734,135,365,920,733,
284,594,151,784,927,320,317,007,699,511,702,034,433,207,500,343,681,455,887,
231,449,585,692,948,722,960,183,087,744,240,727,187,312,561,500,142,648,352,
844,803,698,327,137,639,393,791,218,274,641,454,565,507,618,014,857,787,960,
525,074,516,836,377,020,791,369,812,138,130,210,232,560,043,551,837,108,338,
106,948,208,010,043,271,889,059,051,890,415,285,549,200,788,829,347,049,445,
726,331,501,862,985,298,810,187,528,628,689,061,771,203,249,197,266,246,094,
289,443,939,870,521,682,537,156,235,407,385,005,566,344,259,595,151,388,532,
608,137,059,287,061,655,902,602,721,594,992,487,812,623,909,993,121,369,370,
146,841,734,248,821,155,865,628,549,551,669,513,775,643,261,456,988,779,158,
872,307,834,000,136,930,062,095,780,937,670,073,671,300,766,431,012,780,201,
811,274,095,761,493,446,664,115,342,293,870,495,503,672,524,906,786,745,555,
718,444,922,370,818,510,022,487,237,475,835,052,562,001,969,694,581,797,184,
162,366,597,136,137,057,456,978,410,448,979,094,255,579,232,004,890,985,968,
399,494,149,215,365,216,096,957,294,509,698,877,371,799,155,138,994,306,021,
671,576,937,330,029,740,590,209,604,666,021,712,404,199,631,245,662,016,658,
231,831,183,900,139,929,995,456,978,325,360,956,821,026,827,610,267,615,733,
160,254,031,875,133,834,012,335,994,710,335,796,104,533,955,711,995,526,473,
419,385,365,101,324,989,034,803,693,535,525,520,885,374,138,250,591,736,413,
788,068,804,682,647,601,197,130,037,916,870,352,223,732,103,036,892,040,616,
563,975,337,224,044,473,471,929,137,702,275,810,280,729,583,805,410,053,643,
640,324,699,345,748,338,388,136,669,232,008,795,777,482,030,005,744,132,703,
654,081,975,253,257,826,992,008,224,827,971,041,738,225,084,680,473,715,650,
838,585,258,800,875,913,845,758,998,511,694,204,379,500,941,770,423,982,739,
916,477,500,277,625,903,604,236,994,520,731,311,956,146,707,650,332,372,624,
417,549,582,775,885,033,215,402,231,599,353,599,013,423,903,070,014,670,830,
519,324,140,540,084,276,228,150,241,316,270,024,994,910,767,602,057,127,005,
313,459,986,645,518,181,512,021,195,992,824,003,250,084,198,873,071,410,609,
729,813,885,231,049,842,451,122,310,512,658,360,514,495,231,332,529,384,230,
551,580,764,914,004,098,611,793,870,800,170,262,048,161,295,933,879,792,789,
315,714,778,947,941,019,520,361,855,301,845,395,797,028,884,018,242,383,828,
729,781,018,147,729,622,176,133,614,848,807,652,440,272,331,408,178,942,974,
255,957,802,237,680,062,489,076,391,652,971,912,884,198,709,451,930,349,426,
762,832,907,969,817,816,640,115,535,517,190,076,982,525,893,290,309,126,638,
835,570,967,895,510,053,856,217,396,951,860,202,181,914,276,196,912,023,392,
162,737,367,937,666,776,819,136,951,252,093,827,230,514,561,643,209,354,655,
139,363,310,062,753,716,138,671,719,140,228,726,163,385,750,323,404,378,478,
347,809,847,690,882,462,863,766,662,536,482,033,720,780,280,130,883,998,013,
831,119,381,122,159,684,574,406,349,005,309,898,269,145,991,310,437,079,372,
182,757,736,405,148,130,951,628,541,590,141,063,997,816,941,335,154,031,580,
047,557,570,488,316,649,409,427,264,838,902,728,294,176,528,382,025,976,405,
078,238,853,708,819,697,594,002,438,855,675,722,070,015,667,293,745,199,607,
982,179,722,383,868,928,025,243,752,716,046,128,912,092,152,249,993,668,742,
418,150,356,540,326,063,526,222,375,076,930,671,376,593,046,573,437,285,574,
551,309,781,027,413,154,515,939,948,480,124,983,708,695,192,992,492,464,274,
075,086,154,944,866,689,034,416,314,488,581,840,482,466,275,035,622,385,474,
885,154,693,101,680,710,279,354,932,554,867,374,547,976,375,916,755,485,099,
020,454,732,201,909,552,112,884,025,814,181,659,759,115,924,191,801,694,866,
331,628,706,979,212,762,535,990,423,058,304,680,092,163,756,416,492,388,915,
944,831,262,166,326,298,589,215,931,292,702,445,323,923,941,471,720,127,811,
028,768,490,383,064,490,705,334,722,809,445,385,533,694,610,120,751,919,378,
843,658,447,312,550,670,841,331,946,527,486,261,418,398,331,877,868,528,893,
098,023,761,744,739,469,356,141,243,811,760,577,795,238,443,566,470,896,366,
385,098,725,492,402,702,982,449,038,459,990,247,927,837,954,471,830,222,671,
264,536,767,211,896,911,477,692,349,314,027,814,881,586,414,275,354,521,398,
760,427,917,848,711,200,836,446,111,126,303,364,742,858,167,020,110,582,668,
741,761,803,154,950,881,987,084,322,182,103,679,424,315,256,473,504,709,655,
813,336,449,589,579,703,063,709,070,538,509,577,427,731,201,082,206,096,813,
289,936,706,624,224,512,313,099,757,018,797,231,421,354,321,364,798,960,907,
337,061,925,841,014,969,825,025,732,595,761,903,051,709,178,999,146,558,919,
363,515,220,242,913,190,171,687,984,758,566,905,512,167,959,598,508,956,306,
428,147,440,926,313,647,987,443,151,233,112,805,982,490,336,050,445,279,192,
632,407,680,157,532,978,596,299,048,336,471,359,664,480,552,459,501,840,145,
270,522,412,467,702,573,208,687,145,852,913,351,582,457,209,379,397,048,614,
742,686,801,283,890,182,493,072,238,842,605,489,955,641,412,153,891,941,491,
482,621,086,146,906,880,364,516,929,759,767,275,620,593,013,229,089,147,647,
879,216,436,529,202,049,806,267,995,524,097,960,954,823,331,542,524,368,491,
994,968,307,920,200,528,710,100,962,508,940,255,107,307,185,351,625,569,219,
044,798,793,735,388,213,086,579,205,994,989,516,944,047,770,083,778,942,278,
435,066,676,370,205,130,739,058,576,499,151,689,664,515,243,960,920,962,475,
191,860,547,607,005,648,217,448,988,953,798,956,951,302,879,693,943,592,387,
208,164,603,063,943,474,079,097,558,129,640,914,127,150,018,248,379,890,704,
132,000,751,885,426,711,752,470,916,403,495,534,594,664,242,185,278,490,045,
021,627,920,853,413,290,024,024,475,679,139,241,207,845,697,022,485,868,206,
530,184,904,993,644,837,059,385,097,772,329,237,305,936,599,252,191,770,921,
094,121,843,603,627,468,579,988,809,600,966,897,231,540,595,690,907,327,460,
024,717,814,602,453,499,614,789,459,743,055,236,183,359,122,494,901,886,495,
601,796,335,085,515,519,636,387,335,231,902,328,593,692,508,237,635,287,989,
973,016,355,949,649,808,924,121,318,852,436,474,668,081,039,187,948,477,305,
147,287,784,860,367,995,051,725,470,549,583,898,822,091,308,647,356,044,077,
707,670,729,958,488,666,485,290,134,147,989,596,917,149,857,375,723,629,138,
206,583,694,480,693,070,610,034,987,717,152,988,415,701,687,104,408,909,569,
609,257,175,488,500,828,677,115,522,180,060,895,295,744,793,828,310,713,733,
803,345,041,549,094,014,795,128,324,443,838,353,251,960,783,327,116,039,601,
207,727,378,077,041,243,287,592,763,002,228,597,958,805,554,393,242,331,017,
228,684,557,813,206,391,314,737,891,704,139,559,105,959,683,283,387,845,929,
321,488,587,886,548,722,034,272,012,320,127,848,277,673,330,778,639,250,293,
530,816,395,717,334,925,907,422,041,582,731,773,271,424,915,173,308,308,889,
347,493,082,679,771,709,725,291,660,144,965,870,797,198,984,653,965,068,464,
924,726,192,423,188,594,207,698,902,917,813,384,109,844,548,069,746,811,530,
660,765,197,325,139,553,319,313,370,233,894,313,669,667,835,449,783,276,486,
796,297,595,884,586,008,585,673,559,585,587,014,888,542,708,771,874,707,287,
245,989,240,317,762,397,477,698,337,892,812,776,111,559,178,059,060,978,275,
265,475,114,984,330,005,898,898,569,030,262,722,909,761,093,379,784,338,674,
429,916,940,194,310,983,135,304,017,696,286,830,546,811,326,088,386,562,602,
069,821,864,798,872,384,558,549,517,155,433,856,836,636,608,644,479,065,841,
782,104,282,753,152,238,764,547,400,303,109,616,787,720,820,028,535,044,363,
295,831,692,490,942,893,322,396,174,672,713,379,534,353,979,312,502,532,771,
509,366,504,304,252,918,491,945,267,534,252,136,430,204,427,946,781,783,101,
535,221,963,570,248,830,158,821,746,067,700,084,603,203,510,873,509,781,266,
721,825,419,648,457,794,988,410,403,434,686,421,692,949,824,077,916,948,490,
104,013,373,100,468,444,148,685,643,253,740,319,512,857,939,974,932,657,960,
252,514,281,792,113,599,990,980,391,836,068,857,587,299,787,864,629,415,277,
685,534,347,866,310,893,279,666,859,152,774,764,528,293,707,405,985,089,223,
932,072,770,475,673,516,240,214,881,055,107,673,824,166,038,101,514,978,941,
457,581,371,951,259,320,899,931,184,703,707,318,600,122,605,859,607,534,187,
822,253,936,061,373,870,163,944,833,535,451,914,473,794,264,619,901,336,506,
840,706,308,776,040,426,745,953,331,187,574,957,197,136,246,598,701,205,146,
873,130,789,923,401,854,061,172,529,038,811,745,162,341,546,671,613,539,699,
565,128,490,833,880,502,092,452,981,581,069,076,580,558,401,138,782,207,519,
857,599,909,460,432,847,873,068,147,113,955,051,348,839,264,759,267,070,748,
792,801,434,280,128,020,353,068,820,615,756,183,215,557,333,563,326,625,258,
947,197,914,570,931,523,726,361,082,563,013,484,990,536,898,094,409,943,659,
978,669,507,862,117,767,509,011,828,068,711,414,155,752,389,056,977,082,772,
750,387,509,427,172,240,754,350,132,092,076,723,525,861,684,010,332,474,534,
670,676,642,487,671,462,994,346,770,680,265,076,076,846,302,949,781,664,191,
201,738,004,417,695,432,178,044,611,319,526,751,385,842,105,562,004,026,457,
455,846,189,651,624,104,467,366,274,883,298,788,104,915,073,207,612,220,199,
636,599,006,423,982,402,147,858,592,590,051,567,002,592,165,831,558,065,626,
422,783,453,765,220,206,767,423,717,217,163,972,880,243,093,403,271,217,460,
150,718,669,317,877,688,125,924,728,632,367,758,969,349,586,663,122,507,984,
397,852,738,269,644,428,745,558,488,280,326,091,031,940,738,978,748,332,662,
038,641,480,041,909,780,636,656,134,509,124,835,331,739,365,688,359,635,312,
554,687,032,430,682,141,830,318,357,113,659,848,637,085,234,766,847,340,263,
792,778,220,317,132,814,894,059,819,997,470,104,158,450,325,534,683,724,915,
332,308,440,847,383,457,213,087,799,175,013,681,201,838,611,440,992,279,961,
530,624,070,621,067,194,177,949,994,704,138,783,008,595,296,911,197,478,535,
397,318,321,614,853,216,594,784,212,804,754,722,240,974,440,304,428,282,744,
006,805,877,361,759,925,612,725,740,600,030,861,922,544,022,249,516,272,198,
082,482,795,872,608,320,893,950,536,645,700,640,170,277,769,932,568,486,607,
710,235,921,093,387,478,493,077,490,330,877,478,356,159,939,113,207,161,059,
987,549,555,749,682,107,189,154,901,667,095,384,344,564,916,786,489,703,025,
616,664,860,373,064,964,522,894,176,563,066,145,812,011,113,167,253,877,292,
672,379,656,772,778,640,244,233,690,799,374,310,676,763,626,681,378,311,552,
195,403,926,329,952,171,463,211,691,208,473,477,170,797,154,822,582,165,684,
544,815,623,143,164,923,893,591,950,858,289,028,762,629,904,951,342,106,502,
158,388,117,132,298,024,594,051,610,122,901,382,424,640,123,047,952,386,508,
670,664,478,241,364,033,634,598,695,195,288,165,124,991,929,131,206,810,219,
130,661,325,820,604,014,907,988,710,904,595,926,971,973,929,415,321,527,214,
803,615,178,866,032,829,623,739,624,988,309,855,409,437,393,593,808,569,866,
362,746,819,042,867,432,960,813,892,428,999,817,991,347,665,786,166,142,829,
143,972,626,472,264,096,414,190,327,186,507,403,627,201,866,059,954,266,592,
591,306,024,699,797,619,127,924,148,807,212,295,082,907,685,542,045,379,044,
955,418,910,118,397,025,687,457,576,326,720,988,417,052,388,797,022,159,577,
452,837,096,066,497,763,608,169,345,930,627,902,679,588,247,960,815,127,525,
366,322,738,153,588,537,519,663,662,268,149,899,240,551,544,616,243,490,455,
097,573,152,965,389,860,171,946,599,965,021,924,704,880,556,079,465,659,465,
903,364,777,211,589,605,883,328,840,574,258,333,468,099,585,952,531,788,275,
505,574,294,753,163,100,687,695,062,200,353,373,669,784,281,134,690,568,593,
354,691,233,320,448,996,586,747,317,473,418,444,736,790,717,742,968,527,318,
375,188,659,675,070,642,064,244,679,630,967,702,883,219,223,492,172,457,202,
685,181,539,588,717,578,795,887,100,557,055,916,863,656,376,427,209,861,600,
537,967,323,532,796,344,573,071,913,449,697,155,042,058,397,565,693,073,424,
055,061,439,260,804,898,461,833,374,828,881,401,309,472,615,593,281,169,019,
647,869,239,258,876,974,911,549,242,938,770,899,866,303,485,801,538,469,906,
727,383,659,001,838,598,660,884,865,530,908,626,685,699,692,303,762,251,788,
232,447,638,498,931,371,081,816,572,042,073,674,496,482,238,869,796,256,610,
699,971,688,323,114,715,642,268,241,679,647,718,447,682,976,407,897,243,605,
324,922,055,615,491,493,654,452,135,274,849,616,615,707,692,605,193,426,404,
872,001,000,919,944,274,749,201,489,608,294,832,778,205,857,918,879,592,168,
922,755,875,405,659,943,697,718,115,410,345,177,471,912,052,509,524,592,775,
404,873,723,327,832,629,575,260,942,069,444,078,497,027,688,256,738,810,986,
849,277,415,671,482,114,234,001,121,723,584,547,543,657,025,891,672,125,701,
362,254,314,872,440,230,238,049,998,892,315,022,902,932,883,505,757,051,049,
454,073,982,084,683,038,002,474,578,550,016,017,774,835,606,796,732,023,522,
333,874,691,773,097,205,260,016,703,501,879,558,041,004,863,197,747,477,083,
037,725,631,433,653,154,709,484,879,112,328,733,256,193,024,395,309,445,441,
195,936,336,680,099,929,191,256,138,770,016,601,545,544,010,154,429,965,868,
522,539,844,297,710,014,124,683,840,713,950,190,295,401,126,478,745,031,932,
346,861,882,037,898,619,718,178,073,436,338,322,366,508,030,585,725,793,937,
930,595,646,523,723,600,924,824,557,670,940,597,935,629,391,789,319,677,531,
730,021,970,724,494,738,825,194,803,430,055,083,742,098,027,860,535,244,420,
536,251,485,613,095,792,305,409,758,154,021,575,983,116,399,931,770,174,635,
690,322,906,762,742,169,255,444,494,534,159,244,581,212,884,822,096,389,279,
399,877,568,090,798,213,327,813,647,675,257,252,066,319,762,120,204,948,875,
986,804,025,591,099,826,619,550,529,440,677,480,283,751,592,265,614,434,962,
714,216,846,358,110,287,945,568,752,689,082,188,292,197,665,027,276,499,217,
260,353,390,717,242,332,417,572,870,749,909,319,403,526,659,151,360,975,666,
751,870,785,273,699,796,952,805,393,987,002,968,430,283,852,410,565,684,028,
302,589,239,576,736,626,720,028,463,002,360,323,405,217,246,659,245,104,240,
913,077,521,371,233,272,798,146,287,559,749,203,661,155,013,144,276,784,472,
453,828,777,851,477,989,768,986,162,266,153,565,128,555,474,889,553,337,483,
818,340,755,924,376,468,135,576,773,251,106,705,129,666,129,960,315,216,485,
130,119,303,756,109,811,831,855,802,028,926,927,034,611,679,415,067,946,382,
825,755,994,720,729,055,467,575,815,257,237,635,084,625,034,615,825,791,975,
297,168,249,403,946,572,596,854,987,735,238,535,601,287,307,336,142,986,012,
991,797,431,121,106,853,159,993,332,442,750,285,177,048,666,244,664,813,296,
905,456,121,997,186,638,569,117,671,851,441,741,796,957,007,899,970,645,702,
462,688,186,667,418,814,646,658,122,291,552,042,059,943,230,959,249,942,653,
265,341,473,317,941,445,061,405,531,339,601,549,012,179,931,255,835,473,064,
862,053,352,641,126,520,973,114,414,155,711,169,284,400,953,232,483,303,300,
557,719,866,283,412,595,482,377,516,077,385,621,774,360,985,699,722,408,622,
896,743,070,978,469,611,577,462,090,326,069,013,697,324,731,305,412,215,390,
784,270,677,673,089,064,540,857,775,911,550,094,724,900,093,185,597,362,737,
171,204,728,766,721,628,928,864,746,520,730,951,582,396,516,400,545,769,318,
788,166,517,455,465,003,901,689,798,332,214,092,354,800,351,569,315,677,972,
183,871,787,549,627,015,046,300,407,980,293,841,840,257,083,581,638,677,529,
466,370,881,679,760,108,661,774,653,491,210,966,832,962,773,340,621,530,375,
914,304,379,043,202,116,722,422,453,829,207,970,454,401,178,863,893,250,481,
368,922,755,011,085,505,895,590,257,931,066,961,841,534,036,758,933,241,892,
894,898,415,665,833,636,285,171,975,912,919,043,643,133,059,671,738,048,132,
654,109,288,246,137,352,542,812,218,187,319,677,742,257,910,125,671,153,354,
852,300,147,720,271,272,112,088,411,052,239,800,085,393,923,532,884,427,551,
296,712,222,924,496,122,379,639,999,857,170,327,663,903,825,324,070,698,925,
910,740,898,779,809,666,830,163,418,541,887,124,374,894,429,866,108,527,302,
693,251,102,174,908,331,933,803,393,335,816,029,230,326,456,420,811,342,942,
186,617,128,353,763,126,139,679,625,466,582,073,743,296,130,626,574,783,620,
808,913,679,369,078,581,259,343,656,697,934,971,102,884,495,382,069,870,480,
765,503,107,334,516,119,426,320,469,734,102,254,979,554,124,350,707,247,300,
808,112,488,803,304,345,395,011,163,427,587,968,763,582,522,463,997,375,997,
546,042,416,279,352,469,675,147,725,587,896,632,924,987,444,940,537,868,111,
237,265,981,115,075,438,558,516,790,540,022,159,737,906,394,802,042,120,052,
647,349,067,388,653,934,527,567,308,257,025,031,755,673,444,535,246,069,348,
350,558,074,683,553,123,323,762,849,579,927,808,712,195,756,253,276,584,032,
635,771,337,081,521,760,370,083,572,720,206,731,788,492,415,536,650,728,033,
159,809,258,858,020,568,039,679,783,717,560,228,894,574,625,423,069,278,978,
657,427,734,999,319,772,896,437,559,641,844,357,907,078,113,012,428,570,495,
654,309,731,193,671,318,138,796,637,727,753,105,538,923,191,780,088,849,975,
016,480,303,186,649,491,655,498,862,080,265,199,875,067,766,802,748,703,499,
405,470,093,214,073,738,801,300,752,605,233,356,802,356,404,858,567,122,123,
888,492,604,101,872,806,193,204,795,484,056,112,656,013,822,682,242,525,206,
259,315,170,867,418,813,533,047,921,982,552,631,186,717,828,657,270,137,335,
354,162,228,295,754,560,644,446,009,390,838,391,705,858,299,645,423,182,109,
355,938,929,460,755,831,168,192,319,227,779,254,215,011,044,809,865,695,975,
449,905,416,531,888,899,157,182,068,721,670,899,546,727,558,072,755,184,099,
258,063,215,584,856,561,021,450,249,219,073,609,186,424,948,454,806,347,223,
160,776,869,564,288,735,077,170,223,857,233,637,080,236,371,282,549,593,794,
942,381,904,694,032,358,031,608,125,422,419,401,317,834,988,098,064,257,166,
634,343,151,611,155,075,677,713,391,128,078,273,866,207,196,220,279,633,153,
677,797,395,103,887,192,040,513,876,264,535,650,914,303,575,145,713,666,182,
565,001,745,104,087,926,512,983,471,647,888,482,337,588,999,848,614,331,964,
398,193,883,045,146,867,928,444,230,917,368,739,229,955,437,690,140,200,483,
355,238,707,183,655,373,046,324,476,307,002,147,469,679,259,403,532,274,463,
070,543,927,279,811,857,098,755,458,698,997,656,414,158,277,927,056,441,059,
628,529,333,966,805,960,626,127,498,303,470,239,919,383,595,220,308,804,171,
006,895,148,107,335,117,980,247,286,070,185,057,447,442,062,233,751,504,447,
214,115,822,942,363,097,495,028,130,326,736,472,426,653,665,697,988,918,671,
212,249,663,178,584,151,228,584,834,038,687,820,964,635,947,553,037,010,932,
565,520,887,966,124,893,063,101,194,375,114,401,814,609,020,205,803,316,691,
802,432,296,447,998,658,889,667,731,119,816,576,509,982,751,056,722,117,250,
745,071,534,067,827,554,013,374,893,553,033,763,872,811,592,312,055,171,567,
102,100,594,324,249,176,442,452,441,093,325,604,277,215,552,006,869,804,634,
240,620,867,131,021,202,097,135,190,375,841,562,177,002,585,968,833,745,681,
660,212,813,933,738,564,963,373,896,071,326,148,858,811,625,674,957,555,215,
666,465,385,992,336,270,421,011,339,784,868,877,329,505,495,926,310,737,034,
799,304,375,227,326,325,275,375,298,571,964,292,662,555,544,400,169,954,984,
453,554,338,754,269,017,448,346,078,239,875,421,654,013,439,825,041,453,725,
990,509,297,076,063,206,766,035,483,897,825,948,319,273,969,655,654,419,957,
705,855,681,899,110,509,052,733,137,403,224,675,414,367,012,816,519,627,930,
771,798,301,822,602,499,627,585,789,796,695,274,955,018,763,168,754,671,574,
518,611,814,031,416,712,820,096,723,862,729,286,987,461,782,036,106,983,477,
544,673,404,670,975,355,332,282,630,028,906,147,708,607,553,699,561,507,796,
499,171,192,348,809,934,377,541,873,191,994,481,353,998,804,183,405,943,183,
381,874,258,896,976,459,125,722,000,825,252,246,605,167,038,128,781,132,316,
706,562,342,586,654,889,658,130,479,045,049,536,989,937,815,661,099,255,718,
617,790,969,997,349,194,650,983,678,261,942,580,816,204,896,971,800,988,942,
707,868,625,057,571,356,937,415,051,370,645,873,787,713,519,286,122,538,582,
960,344,730,345,008,021,623,500,053,712,836,733,106,379,191,716,106,638,435,
429,916,241,178,851,075,886,368,343,224,869,349,688,004,784,234,302,488,677,
663,492,305,290,941,113,438,093,900,052,909,541,565,754,568,280,604,312,141,
980,568,115,665,135,709,219,115,260,896,265,654,923,472,755,425,530,266,300,
354,326,528,610,299,337,637,810,619,344,524,385,298,130,347,120,363,387,100,
811,688,474,526,099,072,796,760,375,145,035,769,816,227,759,783,165,088,098,
709,680,987,750,061,937,958,078,816,566,769,017,821,772,807,084,618,343,308,
803,019,971,069,173,186,224,233,012,462,232,483,779,164,102,346,518,515,642,
948,283,082,454,343,465,330,268,878,047,727,507,436,897,439,369,778,070,132,
818,762,193,792,107,602,526,124,132,844,329,008,927,580,190,251,372,659,831,
302,609,854,878,909,061,094,250,761,022,965,235,446,770,244,740,814,322,752,
787,296,945,442,566,597,239,161,747,043,816,815,159,605,709,923,901,636,413,
146,997,910,889,224,425,281,632,719,221,450,634,381,327,918,486,634,480,762,
771,119,938,072,005,399,810,268,327,571,321,168,638,793,879,493,631,188,308,
214,642,968,558,976,265,119,412,874,188,548,237,912,221,205,590,159,064,575,
638,239,135,449,445,638,273,628,641,536,216,646,648,434,809,382,834,037,878,
825,330,760,658,528,287,119,082,786,734,837,976,308,194,033,742,633,141,380,
522,536,799,273,667,187,544,301,325,573,988,152,280,985,881,744,915,084,551,
646,681,170,524,933,725,556,547,816,055,377,437,220,869,445,561,418,941,695,
581,387,617,809,467,060,503,478,579,152,286,069,114,172,171,635,302,374,961,
146,317,753,507,514,222,431,286,038,763,646,863,283,256,368,949,291,273,952,
061,805,402,971,960,252,929,399,256,987,572,573,200,037,091,931,127,328,916,
409,227,453,620,929,883,246,300,742,803,156,389,457,646,481,547,400,828,280,
492,640,374,076,121,084,747,384,224,295,490,190,130,028,713,445,056,172,221,
249,612,502,046,160,814,575,529,384,235,983,134,942,206,104,770,425,966,763,
139,294,244,466,823,007,168,370,405,729,401,426,257,259,285,580,017,769,217,
653,242,940,733,395,988,884,988,789,594,963,143,295,461,762,646,807,053,706,
241,779,307,871,990,751,555,950,303,905,641,459,432,193,733,454,518,455,933,
274,447,796,243,389,401,803,937,643,525,891,529,793,709,414,760,890,766,968,
713,859,662,528,379,968,089,660,744,879,833,473,005,496,150,293,072,095,758,
559,198,066,283,917,711,519,827,752,562,453,646,429,520,337,012,966,853,380,
458,382,932,046,519,847,781,769,015,415,820,216,720,048,908,003,967,832,194,
009,464,930,778,795,735,996,415,884,626,080,772,061,406,675,895,728,562,843,
963,357,027,123,224,758,625,985,758,788,229,057,060,253,902,139,886,067,813,
690,327,730,313,976,026,350,266,941,704,440,856,675,793,566,436,789,453,374,
370,484,070,785,620,913,006,386,968,987,796,177,759,234,246,998,877,898,685,
414,575,004,827,331,194,134,778,840,129,831,867,117,542,861,727,960,881,095,
342,243,815,697,458,578,146,276,129,604,381,007,048,316,062,125,342,344,427,
177,211,850,347,419,206,749,959,675,566,172,429,749,096,878,208,753,856,877,
299,539,380,550,535,734,800,086,484,644,754,760,622,971,349,691,477,032,118,
287,420,317,830,387,881,999,132,944,812,507,960,962,570,335,457,233,707,155,
123,621,296,557,493,667,760,640,506,667,243,510,279,672,338,518,620,122,879,
015,005,857,246,553,071,321,956,062,715,810,143,039,515,390,032,544,022,502,
542,864,871,851,169,496,565,211,943,384,894,492,588,161,521,292,284,935,604,
041,898,478,105,818,568,205,345,059,116,143,556,287,844,815,995,875,309,848,
841,240,871,371,787,795,999,579,302,004,428,664,456,916,613,350,496,043,167,
387,865,838,266,963,617,900,546,871,110,566,445,313,379,406,794,996,110,410,
556,025,118,750,776,637,310,167,322,270,573,755,437,679,531,291,966,522,643,
217,451,953,375,191,291,695,549,065,032,224,635,999,302,479,646,892,356,375,
914,428,634,869,627,640,037,529,903,948,669,378,374,386,985,868,606,305,647,
071,004,804,936,842,110,826,892,319,207,832,827,948,882,790,638,902,424,324,
828,354,734,366,721,930,248,940,767,808,590,798,587,061,037,150,005,675,819,
584,064,271,277,970,838,994,831,983,129,448,878,022,017,253,864,643,509,096,
970,345,062,465,504,479,830,333,051,020,489,709,491,165,586,197,873,276,691,
912,685,729,674,919,108,092,394,116,523,684,899,743,459,695,714,359,261,052,
376,205,907,106,470,427,582,902,610,015,897,510,534,041,828,170,339,296,793,
644,576,161,589,649,573,977,033,459,092,202,574,312,898,565,400,299,455,623,
171,159,857,703,353,844,950,038,566,788,478,419,188,452,172,870,936,356,227,
835,255,453,727,890,448,013,121,837,250,212,483,703,125,470,441,112,658,044,
632,638,876,852,932,680,772,148,092,225,364,423,207,846,793,205,440,268,212,
510,761,029,276,965,437,644,123,631,601,550,839,193,584,151,498,528,196,340,
705,756,675,414,449,923,462,732,904,590,987,813,349,641,891,301,518,410,533,
042,363,552,736,266,435,149,167,772,007,254,109,379,076,604,706,445,884,989,
105,852,796,021,488,839,822,358,197,157,475,009,490,870,827,595,898,526,026,
045,457,773,038,526,249,823,586,884,833,879,055,432,854,667,450,893,957,933,
694,156,082,758,999,042,763,737,184,265,588,402,260,740,532,522,607,799,692,
245,217,625,848,475,825,545,171,793,953,128,328,237,034,683,690,921,703,665,
456,370,181,930,746,234,954,088,554,087,943,584,846,018,861,459,603,311,938,
038,166,624,079,110,339,439,166,262,892,724,332,743,033,784,783,895,972,989,
696,334,149,003,324,669,172,633,064,213,094,301,919,293,117,083,794,291,024,
554,991,283,327,240,352,024,347,074,182,041,423,099,446,957,193,776,110,435,
628,399,831,547,594,175,483,201,243,508,638,614,174,714,971,516,396,245,424,
368,677,786,295,082,952,425,474,333,284,702,347,796,261,057,905,658,950,031,
695,321,535,721,767,978,403,117,948,717,518,570,065,527,148,200,273,020,825,
178,104,291,500,137,315,948,641,620,298,819,573,418,392,589,791,177,853,474,
733,319,067,107,570,488,165,888,391,333,142,151,704,702,573,813,382,589,049,
081,136,975,600,421,817,910,584,778,453,496,996,342,168,968,155,020,663,128,
838,390,172,993,626,936,453,083,147,020,104,973,702,350,525,701,705,248,260,
795,197,916,016,390,321,989,317,155,352,433,501,277,470,882,083,579,156,316,
781,586,413,127,620,708,816,739,362,646,762,929,391,489,093,613,255,600,123,
247,554,371,198,700,715,530,844,724,444,329,977,650,235,394,020,409,806,063,
739,418,156,071,448,718,798,409,861,906,657,623,756,470,825,568,941,698,801,
677,363,022,037,576,419,442,125,957,481,151,724,414,575,986,745,478,820,680,
656,414,782,110,436,086,010,693,462,885,891,757,802,380,972,178,646,730,464,
939,947,335,466,698,746,173,343,343,569,238,308,362,124,717,405,165,723,154,
086,183,715,299,282,859,080,308,937,481,046,520,830,717,775,764,317,340,586,
568,606,793,954,566,647,830,120,366,285,714,557,640,586,494,065,717,306,792,
393,211,189,132,440,756,202,831,497,184,443,797,922,301,229,189,029,971,779,
108,243,861,433,093,209,941,260,649,265,866,248,075,787,873,677,842,366,015,
940,175,365,800,843,765,908,857,060,273,757,594,262,287,095,922,873,618,688,
006,703,936,807,094,222,611,863,849,835,055,552,293,219,313,786,872,172,733,
522,514,892,170,754,397,479,051,712,282,546,860,094,703,614,761,268,524,844,
833,831,522,237,582,184,336,126,218,805,944,318,127,735,515,787,152,908,781,
527,453,312,463,083,572,110,076,080,711,121,020,927,705,953,593,387,584,304,
646,709,301,295,441,097,938,363,037,546,682,336,417,551,598,878,419,321,515,
316,126,807,070,278,711,970,126,063,361,031,236,827,369,607,606,272,726,661,
813,255,841,652,593,890,537,737,759,072,441,691,158,849,514,710,867,319,856,
101,592,396,258,376,142,233,863,907,534,063,558,104,039,069,510,366,472,771,
995,118,728,922,564,749,686,093,038,164,698,158,011,320,462,310,495,229,896,
903,324,399,455,313,547,756,133,809,998,209,888,191,590,901,162,501,761,659,
873,179,403,304,912,408,774,618,218,124,539,785,830,191,048,987,707,129,447,
352,222,483,368,718,296,620,279,662,438,613,558,945,539,164,119,154,285,808,
321,655,856,198,642,831,619,303,188,317,089,684,957,936,893,653,006,867,131,
897,746,143,512,443,898,233,332,328,177,879,444,504,185,952,092,438,560,860,
444,632,696,384,780,748,366,323,087,283,424,560,646,205,535,974,162,656,722,
945,811,015,802,446,136,220,534,640,040,424,667,831,289,231,804,607,118,638,
379,433,212,048,065,368,195,539,756,952,312,194,715,538,987,331,313,258,686,
778,665,050,571,974,497,007,378,198,715,272,699,163,782,194,356,362,945,058,
030,580,073,505,290,611,542,514,914,554,149,790,763,519,066,560,292,591,880,
316,312,251,049,692,898,029,668,338,563,255,098,256,009,897,486,243,723,853,
700,969,002,682,522,088,609,574,334,714,326,771,218,588,611,144,020,985,704,
755,112,701,546,815,816,806,813,589,530,980,392,084,943,812,974,682,780,692,
893,223,118,996,912,702,263,171,679,551,870,219,590,405,654,757,168,337,253,
913,071,332,636,768,927,663,614,456,986,662,294,239,468,053,569,563,138,561,
482,519,726,487,355,404,140,303,893,863,390,898,437,215,415,281,745,625,056,
479,921,638,460,417,664,329,926,519,956,058,017,596,989,931,675,591,083,607,
158,981,258,704,137,241,779,159,832,810,996,370,872,277,421,255,084,946,737,
186,225,388,210,496,940,645,738,615,212,821,193,132,040,940,649,582,316,463,
568,236,745,286,511,426,034,784,104,744,183,328,085,351,529,045,428,690,476,
702,381,493,340,170,134,665,183,765,093,736,210,152,373,815,580,777,324,177,
770,273,655,679,270,265,210,954,978,167,865,753,672,615,463,286,771,286,353,
722,454,538,910,745,887,864,962,339,513,933,572,576,491,640,911,597,067,583,
909,822,073,665,017,128,057,965,148,129,704,351,343,058,365,346,070,547,608,
651,120,422,610,279,550,923,519,568,078,414,899,445,383,690,806,185,523,965,
220,309,954,105,662,399,446,925,147,315,219,169,109,671,511,954,123,739,854,
088,824,636,732,772,527,218,597,391,207,461,606,567,552,395,612,478,531,132,
342,700,191,003,564,808,325,377,205,157,633,999,249,792,566,415,772,887,322,
585,307,349,500,623,618,088,927,131,483,065,604,613,674,272,355,792,489,005,
730,818,608,643,090,795,733,830,532,472,426,525,719,219,945,135,282,459,353,
156,931,126,491,395,165,554,458,899,567,630,209,111,892,539,693,226,675,889,
789,839,439,657,181,911,552,894,133,637,230,315,951,513,996,636,342,040,765,
210,885,320,828,333,409,287,952,319,997,969,768,827,556,189,189,472,144,241,
372,933,189,672,856,608,037,025,374,104,554,506,296,812,898,642,864,474,504,
363,346,643,862,020,804,766,083,046,618,373,555,897,980,770,271,950,493,935,
992,399,677,778,980,468,603,439,554,888,209,766,344,806,176,093,264,276,926,
110,383,166,559,415,697,237,004,525,690,786,727,781,971,298,249,679,060,510,
097,277,323,153,573,440,719,447,594,500,538,114,035,994,985,389,385,143,034,
166,705,718,211,306,870,356,252,880,475,770,715,679,518,056,897,818,870,392,
051,352,226,175,673,218,116,214,215,487,710,804,548,089,421,658,105,283,503,
383,035,142,785,135,464,066,300,660,033,013,983,290,979,548,017,554,523,818,
227,034,248,023,697,157,998,814,242,999,388,986,009,146,301,081,895,260,375,
190,673,297,952,003,065,884,335,456,723,100,691,887,597,622,125,752,326,226,
360,773,770,742,176,882,156,666,306,261,783,730,824,993,259,859,327,145,615,
116,370,198,146,391,100,654,101,550,130,574,722,102,611,656,938,724,127,867,
886,612,331,204,315,917,595,479,405,243,890,014,062,648,402,050,506,527,454,
314,495,556,496,449,249,018,754,095,147,231,094,184,399,797,443,486,548,368,
251,799,175,013,941,268,960,631,347,680,860,643,341,837,027,711,771,976,580,
569,701,535,526,115,319,494,599,901,347,060,537,582,567,341,251,344,537,998,
806,044,796,222,124,706,219,365,172,867,584,575,300,801,175,064,944,006,911,
388,544,024,319,186,883,892,800,780,121,538,771,512,251,089,511,475,394,727,
547,812,084,548,594,273,075,597,073,024,654,628,481,908,843,952,482,829,778,
989,057,544,825,681,139,347,505,213,286,172,322,274,724,669,800,378,328,065,
501,174,251,916,354,682,184,656,832,417,268,952,282,344,757,949,518,635,755,
248,830,614,827,655,292,884,551,920,377,073,743,415,745,784,325,048,507,171,
640,867,229,481,770,479,499,841,315,438,386,723,457,920,442,820,481,663,463,
323,262,508,625,524,434,669,826,137,955,422,095,453,212,612,723,411,368,600,
689,030,033,949,939,268,347,293,228,176,429,542,001,840,408,440,965,396,421,
570,556,734,433,880,887,845,488,421,828,381,848,879,964,465,713,610,028,247,
752,498,734,635,469,478,876,350,179,534,055,295,488,983,559,223,610,526,142,
976,605,285,760,529,611,548,568,998,295,370,285,344,293,873,325,332,385,586,
783,292,714,533,440,304,974,490,699,018,178,403,766,468,639,196,239,565,766,
377,891,984,246,531,435,080,256,141,842,172,973,700,315,368,427,977,232,156,
140,021,476,283,598,858,208,589,464,374,865,940,904,255,385,224,044,733,284,
447,889,088,708,261,836,391,042,035,950,097,891,690,666,418,699,350,810,611,
153,012,044,130,298,797,709,220,464,384,774,008,204,812,176,164,534,695,191,
069,376,948,738,310,302,656,487,857,945,164,444,290,450,581,997,720,962,930,
592,714,120,466,845,890,287,752,718,158,892,597,217,911,482,691,027,488,825,
008,908,519,057,102,884,652,572,300,625,930,618,990,403,626,965,761,371,731,
453,600,378,218,577,621,317,556,770,608,207,219,981,579,422,200,745,428,527,
674,619,297,862,005,884,550,476,373,745,110,086,873,892,624,726,733,247,032,
775,900,902,441,612,172,632,980,528,675,295,730,990,806,051,698,692,992,116,
871,841,083,950,043,105,022,225,900,767,879,895,179,260,373,554,268,886,335,
336,698,329,134,783,987,622,119,134,985,072,896,512,994,999,719,886,256,150,
081,332,503,281,508,866,522,917,276,315,876,255,091,851,618,436,004,138,744,
768,945,281,880,520,334,091,952,213,296,678,996,148,039,667,055,614,575,902,
677,403,358,150,673,299,474,058,642,447,936,661,631,210,886,465,618,199,316,
663,069,508,603,028,524,043,680,842,968,294,972,270,926,744,664,834,530,426,
384,277,379,202,459,254,230,804,039,289,457,504,493,261,763,960,762,942,865,
334,690,880,731,744,160,420,564,277,808,595,422,060,986,252,894,853,426,988,
974,257,586,213,732,166,406,114,110,886,185,967,889,010,653,720,454,778,583,
271,757,138,172,565,328,568,368,031,471,298,088,637,095,480,150,800,607,914,
084,646,287,170,255,307,565,092,640,315,740,177,542,995,467,206,773,364,973,
809,462,061,987,809,841,939,003,238,671,911,801,903,865,114,016,994,109,716,
740,438,502,475,380,178,881,475,406,945,498,915,749,846,038,289,861,867,636,
522,616,487,645,090,306,492,120,617,256,533,138,857,935,239,550,063,454,984,
296,285,502,546,314,692,574,965,641,786,523,064,115,278,074,363,104,103,253,
596,572,501,349,375,747,716,953,949,034,128,794,808,282,705,819,602,253,413,
730,086,798,276,885,705,697,519,760,687,751,506,860,084,018,511,019,026,240,
401,860,433,692,846,089,137,123,138,993,237,921,296,382,390,602,810,000,611,
471,936,673,808,966,953,790,017,302,508,453,390,637,437,414,479,742,605,857,
166,077,719,913,103,686,775,410,116,717,923,514,127,140,269,232,062,623,830,
969,042,957,007,455,511,928,692,975,636,714,503,245,489,980,956,809,351,364,
436,927,158,668,722,266,310,369,504,294,578,383,005,045,932,631,745,936,718,
811,452,589,115,494,181,247,140,003,309,508,309,715,436,411,282,236,858,968,
286,959,360,042,322,901,967,871,801,096,537,160,807,848,490,426,227,163,089,
101,962,059,255,131,482,771,161,770,186,577,857,516,308,463,527,608,013,110,
863,819,824,616,051,108,495,325,424,917,874,988,684,676,309,561,696,392,916,
179,783,951,898,760,530,388,729,504,410,178,382,302,588,603,183,453,912,346,
966,075,865,872,156,270,391,406,181,828,714,639,728,928,953,828,013,811,051,
755,545,542,420,314,833,764,992,862,448,149,688,764,962,857,237,949,732,369,
802,722,284,959,323,559,030,759,411,509,753,343,159,830,879,853,287,705,481,
982,590,906,259,441,203,368,147,857,311,935,467,179,106,180,320,223,692,577,
695,775,957,456,151,980,896,525,366,800,943,215,096,401,650,651,669,383,277,
719,648,612,406,776,055,254,408,187,399,465,106,566,623,075,866,276,019,931,
792,348,827,612,082,199,459,080,399,023,631,192,887,347,064,323,307,594,594,
340,831,014,405,471,647,033,860,199,743,399,833,034,200,223,866,418,459,866,
942,938,645,702,099,927,250,780,248,797,253,300,545,351,888,369,368,120,841,
912,889,160,118,980,697,368,886,845,891,677,833,695,902,598,633,491,422,255,
676,903,760,857,680,266,373,739,765,789,346,827,280,477,250,056,141,115,071,
509,546,091,279,027,925,365,402,877,870,870,010,744,861,587,991,052,389,587,
719,186,704,453,429,224,035,316,237,841,691,482,358,543,598,178,784,367,900,
422,746,841,966,336,009,223,366,179,924,441,268,647,201,787,462,672,725,532,
870,729,974,948,565,824,029,441,552,083,438,401,298,636,846,256,961,239,978,
725,556,219,855,247,557,533,465,719,470,559,130,733,243,428,447,188,734,246,
473,779,292,919,299,508,974,713,342,224,333,162,939,140,157,542,719,801,880,
009,412,708,900,643,412,014,328,013,457,405,374,106,859,055,286,506,275,409,
882,894,946,177,698,122,962,903,978,030,638,506,981,092,663,724,058,868,768,
461,268,474,534,147,037,263,612,296,950,509,231,498,076,873,758,263,792,493,
329,295,805,618,093,104,237,385,628,459,545,927,840,671,829,178,704,178,242,
555,545,774,041,776,348,529,018,148,025,242,313,126,913,920,129,868,635,675,
436,863,363,685,375,579,527,864,400,025,037,521,522,354,328,998,735,244,285,
070,153,130,414,398,605,722,756,286,377,958,122,960,959,471,459,468,409,850,
825,552,952,187,158,250,044,349,809,809,861,215,250,418,787,897,658,852,639,
101,237,898,936,448,965,749,825,784,901,814,318,430,882,722,073,710,319,415,
509,422,443,239,012,532,412,343,688,471,919,264,576,274,634,836,980,322,966,
517,959,815,592,504,420,268,810,923,978,903,532,652,033,182,474,273,815,553,
802,802,740,984,985,360,004,467,491,874,660,343,380,832,922,162,006,573,650,
819,335,679,820,785,309,952,373,764,850,922,594,114,364,777,122,408,463,635,
119,993,600,535,352,804,389,093,680,569,007,206,667,170,088,148,500,213,163,
409,520,621,073,474,778,533,397,190,826,571,600,081,617,741,297,943,192,698,
106,933,810,702,249,734,716,032,489,653,049,563,371,053,254,309,481,808,602,
704,741,486,377,264,415,994,150,112,081,922,533,141,968,349,002,713,212,832,
673,995,234,730,711,915,560,677,202,031,845,077,134,842,290,587,058,628,912,
200,852,785,204,192,174,292,778,514,858,515,113,345,149,105,442,690,630,264,
046,502,850,573,522,697,394,929,486,429,554,541,836,864,929,210,107,528,921,
596,681,380,285,253,382,073,849,096,851,100,110,474,386,329,782,408,258,034,
335,564,225,203,357,139,033,117,823,731,543,407,597,636,635,957,587,365,066,
287,109,610,742,434,709,402,396,152,388,627,535,613,575,306,371,150,234,223,
073,420,755,519,452,508,048,737,859,004,981,835,783,077,722,209,916,148,340,
856,680,261,639,368,182,234,974,067,647,296,874,919,679,739,399,957,639,525,
430,779,102,766,007,108,274,435,903,706,208,511,782,211,569,588,361,644,076,
814,544,026,312,560,938,057,609,965,725,485,537,521,442,352,778,801,103,434,
247,132,526,294,649,911,897,368,148,420,383,010,251,168,629,323,660,846,708,
822,851,951,752,763,820,834,370,686,422,372,298,985,427,636,532,303,187,951,
044,127,378,132,150,215,344,524,507,888,800,891,044,454,655,837,538,114,946,
384,783,006,424,734,376,730,461,539,767,280,833,188,373,015,101,519,742,669,
459,216,220,675,595,311,307,281,798,756,137,603,571,426,130,713,902,516,240,
056,135,496,775,636,015,167,114,719,073,985,997,419,239,937,756,785,299,669,
652,695,020,939,513,557,999,861,859,771,780,480,525,175,621,141,609,003,112,
346,297,339,517,446,817,546,234,270,269,792,807,970,424,567,259,623,028,575,
221,093,336,548,968,895,736,174,905,973,463,606,613,899,132,053,566,562,401,
488,642,291,935,177,586,988,294,073,481,947,207,135,407,084,145,375,521,909,
417,432,945,540,745,057,978,148,468,861,928,271,067,495,911,071,978,552,332,
669,532,736,678,748,877,896,483,922,314,338,474,636,292,787,759,298,747,228,
132,818,373,706,371,313,225,655,347,853,490,349,524,277,220,034,680,554,884,
274,707,682,553,299,074,777,821,626,942,336,850,450,768,460,446,158,814,506,
034,056,559,806,113,280,151,058,057,382,361,796,557,333,904,430,827,197,037,
132,802,471,254,805,018,490,329,048,125,768,124,479,787,604,174,027,344,334,
674,153,994,204,170,029,220,099,273,191,575,137,965,163,424,990,866,945,904,
919,719,624,898,682,834,788,901,284,646,039,044,525,524,815,986,853,881,259,
480,021,121,743,132,306,457,697,967,214,861,274,951,604,926,309,051,520,605,
994,945,944,085,537,919,228,524,916,453,950,776,061,648,226,962,139,037,727,
001,492,021,958,336,089,042,044,202,763,222,838,793,855,234,847,446,966,105,
589,050,467,664,909,781,046,192,186,237,172,106,206,924,857,299,379,020,427,
696,976,996,711,763,283,220,832,795,679,679,297,454,339,834,474,335,140,926,
906,255,612,195,951,246,585,282,340,888,889,129,944,523,501,864,619,492,616,
402,394,267,766,112,510,578,024,820,969,083,087,144,835,062,210,271,851,611,
027,829,640,221,912,500,092,818,201,149,733,073,917,852,777,138,430,370,411,
385,953,421,600,167,973,384,277,564,420,148,286,620,297,247,166,856,391,012,
523,820,365,921,427,577,086,126,021,045,991,472,631,935,171,518,903,305,660,
767,829,089,669,573,046,865,507,400,934,470,432,226,309,137,028,682,210,966,
063,783,607,584,343,580,590,207,872,110,010,626,095,735,242,865,679,196,279,
928,843,675,080,343,007,814,863,202,599,136,295,956,097,096,985,612,929,873,
850,537,314,480,203,569,752,660,983,833,058,401,853,900,959,878,564,587,971,
171,689,782,610,828,526,350,607,789,928,967,177,861,751,100,145,297,213,149,
691,820,981,496,434,716,427,020,665,556,847,404,557,718,353,509,375,126,179,
949,669,878,751,006,946,990,956,991,072,193,892,353,277,749,390,953,835,289,
080,256,672,145,763,458,524,085,191,683,234,870,699,192,671,427,581,178,368,
421,191,680,915,112,031,478,202,713,069,186,377,138,067,512,412,527,414,567,
729,946,569,143,214,965,889,621,821,738,445,467,237,112,780,209,044,069,181,
339,255,920,485,762,913,874,279,338,115,311,278,774,343,223,289,581,709,345,
454,858,012,446,524,021,032,861,099,076,870,683,647,573,329,326,092,464,173,
329,743,613,889,254,340,397,886,047,802,116,304,365,589,403,131,857,979,261,
584,142,262,446,911,176,699,471,897,221,479,823,742,864,075,981,593,954,198,
997,547,246,795,917,643,006,700,377,406,305,994,480,850,167,017,333,501,188,
345,508,540,843,128,141,508,548,344,720,457,959,077,623,691,889,271,785,686,
691,942,026,022,915,453,526,746,964,292,473,960,699,774,981,475,287,221,774,
740,074,325,347,937,688,805,530,091,151,219,597,823,115,338,595,916,984,531,
840,760,694,665,084,197,378,484,943,353,041,394,870,533,279,690,104,588,478,
046,567,013,709,890,418,612,862,411,060,884,018,606,588,741,057,946,039,583,
475,381,300,234,637,291,072,048,043,766,199,283,645,501,030,829,255,880,399,
899,618,057,309,470,917,479,749,724,620,881,719,325,113,885,165,600,746,718,
087,493,509,453,256,164,307,502,205,450,801,387,035,463,059,088,485,063,663,
431,990,725,624,379,100,696,784,419,371,595,624,992,234,760,007,514,912,888,
605,011,726,729,687,019,329,646,351,954,840,229,672,789,955,267,158,583,180,
494,985,133,328,129,029,588,593,272,911,224,735,913,277,608,222,240,686,727,
844,480,634,785,670,312,857,050,840,393,590,440,161,934,054,465,664,892,512,
293,483,748,853,273,209,501,552,768,529,945,782,913,177,574,163,939,022,838,
181,723,154,573,905,204,733,070,071,959,666,119,479,213,116,522,274,858,569,
762,942,861,277,963,425,440,268,877,376,303,291,424,224,557,401,588,726,714,
588,089,824,711,663,024,416,457,888,289,776,199,776,041,849,013,566,507,971,
247,559,370,533,379,328,537,146,169,311,340,604,243,555,445,190,660,893,337,
806,513,590,592,253,078,698,902,881,916,030,834,184,810,052,045,256,438,177,
362,565,877,822,814,988,211,555,692,955,163,708,164,985,572,531,676,695,595,
091,574,674,227,765,975,140,761,629,721,263,516,738,232,296,736,668,843,171,
589,953,323,615,359,501,203,449,040,638,074,984,700,996,562,720,337,952,376,
322,336,663,512,882,654,268,207,859,447,197,480,636,498,715,672,539,741,558,
230,510,394,007,358,116,895,060,353,917,277,881,648,195,387,716,819,871,610,
920,095,343,477,086,942,382,611,914,378,422,245,147,535,281,668,161,914,885,
355,593,911,519,672,447,471,625,046,716,710,661,146,348,313,685,683,905,661,
351,615,410,783,838,247,501,735,745,322,483,839,792,248,136,525,866,621,840,
763,218,603,618,909,773,972,773,561,641,979,775,227,234,403,222,763,941,236,
984,662,800,954,294,101,051,876,888,214,513,837,018,571,688,297,843,755,130,
896,169,432,339,318,480,708,592,300,236,186,923,003,537,786,715,222,216,452,
047,095,522,925,520,880,572,708,513,792,433,215,546,368,768,290,448,828,708,
039,326,977,950,880,165,136,203,079,551,934,330,503,846,716,466,394,858,866,
967,843,668,369,915,609,821,114,333,371,899,355,181,810,183,136,052,542,217,
507,829,437,702,060,381,301,109,472,136,350,208,929,604,409,644,721,778,263,
591,922,319,850,551,763,855,133,946,975,453,199,840,777,833,670,156,871,058,
960,325,972,808,591,585,113,117,312,340,430,598,171,225,304,803,879,861,943,
124,085,068,161,830,872,054,015,538,058,825,713,013,766,077,532,018,121,773,
471,561,757,584,455,809,310,710,526,258,331,575,052,020,428,131,617,474,246,
361,832,294,001,325,092,804,935,842,823,494,754,042,426,506,446,016,760,636,
853,657,817,298,448,403,710,665,156,045,417,757,485,572,885,343,250,427,046,
599,783,472,925,329,517,465,755,841,300,537,760,025,514,651,979,497,407,959,
956,424,676,053,561,315,352,018,805,771,685,538,071,760,611,053,688,336,085,
348,980,761,015,292,350,833,481,954,074,464,835,214,154,935,987,245,247,275,
545,893,821,218,780,659,736,393,226,484,547,667,338,377,904,607,985,686,033,
628,051,429,951,387,078,597,401,210,546,835,611,587,263,478,631,383,770,112,
773,864,375,154,586,541,333,717,169,709,092,722,803,119,134,839,317,469,251,
124,212,906,160,399,153,554,486,228,984,800,454,720,865,470,493,388,029,053,
395,855,986,360,548,116,702,220,406,452,657,211,605,471,665,035,783,702,634,
069,028,683,535,565,929,477,600,654,855,596,541,165,903,294,797,663,735,350,
742,597,816,177,782,343,307,362,847,836,669,803,743,058,951,561,755,969,754,
093,054,828,699,998,543,030,399,146,506,108,413,778,868,263,335,482,229,567,
071,606,644,555,473,009,063,535,673,094,701,921,506,449,227,431,318,794,994,
156,657,463,987,750,431,180,064,156,850,555,756,876,483,313,691,029,951,778,
774,232,962,846,773,150,449,873,729,936,503,749,546,137,151,475,530,504,000,
521,404,032,587,708,001,492,856,961,782,827,557,833,003,292,874,165,602,361,
806,101,289,222,959,760,067,989,649,629,589,369,872,703,087,863,752,145,006,
979,599,532,696,731,376,473,651,720,330,530,920,144,715,157,385,373,498,191,
097,019,337,196,591,867,727,204,185,176,513,025,832,424,853,747,741,558,213,
592,560,750,794,173,725,046,851,279,054,829,738,187,476,024,401,747,237,259,
841,951,214,120,819,747,357,194,340,990,744,583,841,750,285,232,661,407,454,
829,796,439,808,983,601,434,633,553,713,048,537,205,950,376,551,742,374,277,
311,589,184,717,160,901,580,993,178,940,159,402,684,078,477,046,303,646,078,
167,013,521,444,853,140,688,140,654,763,776,917,672,372,150,466,426,394,423,
948,050,761,128,665,838,399,806,305,824,453,696,656,743,059,249,748,235,839,
112,873,007,366,980,008,139,927,229,509,751,807,290,704,907,718,831,136,082,
330,237,578,253,038,176,719,322,589,470,319,120,638,424,796,152,125,021,236,
708,470,104,518,351,878,035,501,842,603,054,095,850,664,739,967,347,958,279,
421,960,017,369,640,940,898,667,193,255,705,526,113,905,072,456,561,138,553,
180,686,197,940,242,210,070,270,827,251,791,984,316,965,697,001,060,110,871,
166,928,739,547,317,200,661,838,228,968,871,739,718,802,248,958,100,780,210,
652,357,862,523,928,596,624,580,231,344,932,562,884,855,148,448,322,186,428,
286,992,398,836,952,985,251,889,640,691,645,366,138,714,534,181,709,920,643,
743,352,441,416,401,591,163,130,047,159,681,524,869,698,488,878,753,557,930,
320,997,495,291,854,975,149,007,835,459,350,802,604,423,251,243,716,527,127,
956,261,580,841,109,324,125,783,558,721,910,043,110,312,287,233,286,778,493,
147,817,623,604,738,956,631,398,485,873,302,859,326,719,971,492,419,759,111,
413,019,985,581,699,608,522,268,585,941,765,198,494,230,504,451,009,281,905,
617,110,996,700,987,417,471,095,785,135,118,910,712,414,243,277,178,817,870,
344,923,944,905,861,971,822,715,724,983,272,641,598,605,281,315,878,796,556,
004,574,286,281,660,578,204,231,527,319,580,034,827,645,036,571,974,029,655,
547,257,397,767,372,801,874,175,500,701,222,360,105,426,789,697,382,084,826,
393,444,677,112,637,493,454,540,867,854,692,813,396,744,063,339,443,156,321,
328,345,074,115,636,840,509,561,538,573,711,903,896,286,673,633,381,683,970,
681,655,147,733,724,271,678,135,137,881,752,942,481,729,960,616,848,515,454,
027,551,003,561,919,165,848,661,444,327,629,261,344,528,638,911,942,158,969,
182,647,739,333,937,192,825,364,408,582,258,829,798,618,250,838,809,223,909,
430,844,256,674,983,846,413,887,909,462,375,092,924,529,820,682,774,233,656,
866,740,364,243,677,138,913,372,329,780,768,872,230,086,092,053,277,257,020,
958,590,522,223,208,642,138,590,360,928,945,943,551,537,176,553,630,362,068,
015,854,319,279,792,572,431,173,087,204,899,908,646,842,684,998,366,339,839,
524,132,261,200,434,212,134,273,481,492,023,817,703,295,575,205,062,664,434,
430,814,844,001,575,772,943,864,513,445,424,480,490,210,304,072,966,070,358,
673,679,200,994,572,980,891,896,768,859,987,204,632,093,731,847,151,763,283,
112,856,794,321,385,205,600,875,504,184,696,691,539,388,499,028,369,503,069,
885,808,273,747,017,779,355,593,287,811,928,575,706,583,570,727,315,361,341,
555,922,216,207,857,510,686,686,012,177,593,354,355,850,488,634,363,532,867,
494,753,808,237,306,129,597,204,019,004,676,834,300,818,129,989,395,707,745,
881,302,533,400,919,527,041,347,093,925,189,846,273,663,663,110,155,404,218,
352,285,356,670,732,132,075,299,156,565,884,011,540,108,615,613,710,132,184,
148,205,992,811,069,884,677,109,029,553,695,169,250,523,036,665,329,751,823,
496,745,752,018,290,434,131,744,174,731,510,138,110,687,571,566,274,593,574,
724,725,478,108,246,616,242,011,222,823,067,795,820,441,747,613,582,322,411,
724,168,720,547,386,478,060,781,619,322,818,859,754,283,329,995,735,949,600,
004,713,759,903,146,386,686,643,878,440,817,260,496,068,665,635,833,592,923,
846,622,277,917,162,621,813,452,689,104,240,782,110,721,244,197,030,920,474,
300,365,822,783,329,874,178,513,073,714,821,778,210,372,556,435,442,554,815,
384,001,540,866,104,252,327,673,775,378,062,265,311,560,320,217,105,683,659,
633,011,278,782,664,676,231,247,842,849,884,454,873,859,867,119,803,570,035,
334,336,573,631,131,433,153,973,408,077,395,920,601,295,421,897,399,851,422,
599,245,088,622,731,193,439,410,262,640,160,175,703,590,153,313,548,276,044,
016,266,231,629,398,202,049,806,104,174,390,945,535,969,298,499,428,997,963,
374,151,912,766,051,696,260,946,433,408,277,368,778,963,430,476,575,528,275,
825,690,538,252,677,093,161,534,926,092,052,408,430,179,191,252,383,231,669,
473,351,205,737,664,907,894,452,028,352,296,164,512,451,771,127,182,244,052,
192,143,520,674,793,405,496,142,250,918,939,260,604,429,906,788,258,578,193,
146,679,653,731,197,729,293,130,717,146,155,372,413,732,882,986,511,644,241,
357,322,090,052,928,899,678,090,408,877,528,207,548,614,056,545,939,492,158,
814,307,113,217,881,111,567,251,400,225,214,178,700,692,143,789,409,757,341,
933,004,574,632,374,521,739,606,483,547,987,999,344,361,306,507,041,976,907,
602,786,982,292,851,633,911,060,187,386,577,746,420,847,946,808,288,497,461,
647,885,786,478,217,439,662,953,280,452,240,375,856,730,794,137,751,390,239,
094,531,568,512,001,326,251,873,617,166,681,303,308,643,272,093,680,656,060,
613,544,040,177,387,074,264,963,839,076,576,591,082,341,817,779,090,696,839,
884,899,024,205,513,550,947,936,811,354,207,850,464,684,391,042,916,071,093,
284,897,340,416,507,791,182,266,993,797,200,500,803,595,614,559,276,034,198,
695,083,297,694,495,831,033,944,726,828,806,555,572,387,755,306,399,876,620,
715,374,166,145,103,700,782,897,997,953,188,828,141,521,318,933,570,147,871,
773,573,104,394,371,973,893,372,722,129,147,611,925,374,103,096,630,557,103,
251,225,857,189,634,715,889,028,305,604,228,787,697,079,329,817,402,977,220,
954,196,078,201,560,683,800,219,555,876,744,516,545,137,741,508,256,074,256,
476,991,735,643,955,079,674,923,207,427,070,925,807,869,795,019,899,826,653,
789,316,770,822,048,427,090,868,220,398,164,977,224,535,254,304,789,526,080,
356,065,837,732,156,761,030,800,876,635,222,423,543,482,855,350,254,079,112,
596,040,913,303,949,186,016,849,791,421,920,085,737,027,992,252,708,550,289,
140,726,731,536,274,196,088,729,706,525,015,482,902,838,209,542,304,069,210,
292,948,405,761,209,860,176,137,803,961,909,632,927,878,235,690,032,944,904,
513,374,957,082,276,814,606,180,147,836,716,842,133,972,052,345,200,973,574,
381,796,613,586,725,949,995,767,653,187,625,971,481,150,461,246,301,218,005,
027,780,369,051,293,470,915,536,241,763,298,335,502,090,698,617,843,639,236,
593,840,304,124,073,048,129,796,731,933,070,155,405,716,362,276,061,968,545,
470,125,304,724,339,881,536,836,525,470,752,198,819,502,469,091,165,343,730,
932,818,755,387,630,353,360,082,834,140,285,226,116,812,111,661,712,959,372,
055,911,314,020,223,734,762,372,553,781,049,038,707,640,512,443,478,371,408,
604,275,661,389,501,667,678,279,022,624,947,330,387,549,573,339,986,093,381,
877,760,910,302,254,158,037,089,503,582,212,537,369,191,694,657,480,008,880,
294,237,056,175,043,674,049,866,800,048,784,198,573,944,753,556,538,139,387,
810,254,611,244,478,862,075,516,110,472,265,692,411,690,433,449,681,657,981,
641,885,058,613,977,522,862,798,840,870,069,593,137,473,713,960,423,246,880,
409,158,256,905,436,518,285,671,492,222,311,592,581,305,458,830,507,364,726,
557,255,626,238,437,707,159,645,514,664,077,826,982,973,643,844,906,542,992,
678,188,912,555,245,374,617,669,946,857,089,937,534,576,979,382,286,979,061,
334,877,809,625,515,268,006,752,983,079,997,583,006,036,319,817,325,967,308,
657,923,387,731,764,609,640,748,781,515,559,737,294,685,635,873,470,405,704,
758,462,568,484,036,764,084,141,605,220,336,815,410,731,117,065,164,064,831,
143,838,633,861,886,536,601,096,439,271,086,456,730,682,173,611,873,947,128,
583,122,790,348,392,607,195,094,950,147,050,313,937,227,766,797,482,928,972,
088,223,265,552,113,798,366,866,671,499,948,441,256,882,858,102,712,967,349,
769,882,894,072,811,952,252,971,084,222,698,911,237,900,347,636,232,966,472,
052,805,522,922,842,462,820,945,917,871,553,029,272,597,664,227,672,087,695,
963,826,974,557,380,536,090,071,305,516,893,547,265,021,299,993,144,054,079,
016,581,713,521,710,697,289,472,364,600,731,193,145,460,044,261,932,586,091,
086,200,361,276,893,760,787,834,897,948,382,981,888,805,228,435,242,861,002,
697,729,810,907,121,844,344,888,368,803,258,065,366,367,735,517,282,402,131,
137,560,086,741,128,516,749,996,235,033,585,080,172,047,999,807,864,311,123,
039,998,882,756,400,451,536,432,881,925,696,779,832,552,993,298,917,459,724,
415,227,657,013,959,745,298,328,947,707,249,921,971,581,316,202,401,761,668,
285,021,539,934,146,861,201,247,708,799,583,120,405,816,720,561,276,801,902,
690,153,384,107,599,128,984,253,588,852,976,928,973,143,517,122,212,772,153,
178,959,134,128,412,622,233,482,102,834,855,208,469,412,791,038,040,451,947,
040,163,350,075,703,327,297,848,578,903,489,197,819,000,067,604,786,042,946,
101,441,777,134,744,815,783,049,827,052,143,637,071,056,656,563,223,121,651,
796,820,761,520,906,188,011,599,650,061,054,078,061,526,188,435,137,902,841,
052,581,077,279,502,975,494,454,124,036,328,348,554,682,948,521,057,440,058,
125,732,539,334,018,034,689,902,096,745,823,844,562,878,488,337,462,648,267,
624,768,661,257,221,634,883,785,885,425,162,249,757,736,064,921,233,541,281,
835,389,547,725,097,197,672,813,663,031,985,203,938,372,647,349,851,406,110,
027,245,597,816,552,385,188,858,649,263,865,916,663,682,435,239,193,956,071,
028,605,256,713,753,073,163,711,443,277,835,076,150,453,583,366,249,841,101,
215,841,833,254,284,611,310,849,980,363,945,913,582,467,978,682,794,089,319,
039,922,139,416,866,265,804,641,076,514,058,924,604,736,805,095,067,893,057,
457,532,905,599,689,260,974,209,770,920,598,905,101,177,779,483,364,609,202,
560,097,624,127,470,695,346,328,456,291,071,079,940,227,525,762,452,848,019,
013,167,604,766,965,865,601,719,900,943,827,433,902,957,650,264,757,695,513,
636,965,442,076,521,119,750,371,929,804,868,643,811,926,836,334,091,087,645,
846,550,841,992,057,753,173,213,502,044,947,380,049,232,054,752,027,555,471,
545,055,641,620,584,578,489,327,961,370,466,568,990,793,373,211,083,205,259,
739,536,215,557,867,775,435,249,725,728,586,493,197,356,278,058,988,827,034,
285,544,040,518,902,581,674,774,906,150,730,007,815,666,833,244,875,995,905,
824,804,788,260,328,271,933,605,509,147,406,991,755,972,752,426,011,035,490,
998,457,345,958,677,007,006,387,728,644,457,369,576,590,281,607,821,091,197,
767,474,451,737,605,152,582,763,827,954,471,876,507,156,905,431,748,143,413,
441,957,904,525,018,664,244,416,517,860,462,903,736,685,574,953,248,883,702,
338,504,188,022,381,938,386,400,790,579,546,591,841,870,383,473,943,751,074,
887,292,443,574,109,018,084,226,762,527,205,015,029,622,046,511,987,581,721,
588,842,772,355,885,190,499,864,991,018,512,594,302,086,209,310,140,634,770,
468,242,119,583,786,724,857,449,334,559,255,212,004,260,677,494,327,931,131,
937,589,198,160,528,775,464,894,544,128,306,199,062,282,024,174,547,899,584,
514,494,659,745,102,977,248,036,727,390,130,874,618,798,692,552,240,447,799,
595,480,320,901,310,701,380,425,958,652,611,646,265,932,169,829,213,121,615,
510,848,201,769,423,080,371,997,663,874,923,376,921,703,838,543,807,336,404,
232,616,731,369,546,082,662,472,620,142,362,154,943,488,191,609,867,442,341,
248,950,900,555,034,763,842,992,085,589,682,384,599,704,634,367,727,964,781,
374,270,884,758,225,186,187,171,094,064,034,868,422,303,466,084,265,444,775,
401,346,890,271,062,891,778,814,144,764,716,029,019,796,846,091,933,148,950,
378,530,219,805,614,518,848,385,109,366,786,162,062,689,165,011,464,066,543,
523,753,655,192,963,909,325,231,557,022,454,015,347,195,032,195,102,152,022,
916,242,002,212,970,092,662,491,337,061,948,277,438,103,706,367,197,425,463,
996,749,187,962,694,614,445,711,833,284,790,975,931,161,118,636,411,462,006,
791,091,352,708,641,363,764,869,936,341,251,373,881,105,066,363,605,905,085,
019,307,759,216,630,868,453,453,389,271,039,379,755,462,904,300,901,513,149,
430,064,990,845,747,812,779,146,839,830,765,024,045,858,931,690,705,075,540,
059,582,808,797,644,425,960,559,047,778,826,833,933,593,843,680,938,961,435,
935,101,572,133,386,918,234,655,457,221,797,722,087,991,685,441,321,273,794,
551,122,888,317,493,551,028,728,844,288,592,093,808,666,450,174,493,439,332,
290,630,123,401,219,463,960,750,120,237,368,165,948,251,332,770,485,652,041,
611,839,900,758,650,819,906,486,967,908,831,225,590,460,526,092,129,884,109,
238,904,302,226,519,818,388,696,830,197,064,707,109,778,924,027,846,380,613,
248,017,506,970,980,215,303,674,268,090,486,953,383,243,020,797,303,862,448,
645,429,371,947,264,979,181,785,233,535,916,275,351,570,425,144,030,868,554,
450,863,073,250,257,587,269,588,851,201,715,078,513,471,070,488,704,741,714,
260,416,267,365,718,944,535,041,175,385,425,918,751,755,728,830,304,435,935,
061,311,205,362,179,878,051,166,852,866,063,311,974,623,455,035,709,987,336,
031,986,617,372,782,587,445,846,895,309,197,613,115,614,854,869,586,936,192,
268,642,881,202,488,787,093,468,912,769,900,033,118,042,228,175,919,186,023,
003,303,992,275,012,693,808,782,919,589,349,783,574,000,687,231,675,686,446,
602,627,436,358,962,723,210,859,378,714,920,454,553,372,830,389,926,302,707,
048,259,341,606,339,221,936,289,099,040,449,088,740,396,893,299,562,962,637,
882,640,931,914,045,548,486,204,752,047,815,882,642,757,363,784,347,832,987,
923,799,890,023,442,164,830,606,155,481,896,115,989,429,854,190,099,582,371,
268,636,025,856,521,898,363,775,482,385,493,113,269,774,461,607,527,246,150,
642,921,962,596,814,141,402,461,294,734,209,863,508,151,220,849,611,705,781,
314,326,985,432,005,302,246,933,781,250,608,690,772,084,939,854,617,973,006,
454,976,728,435,670,930,427,783,123,838,570,158,408,510,023,730,884,759,635,
953,968,596,417,092,323,728,551,474,358,866,082,634,875,402,811,736,533,355,
491,298,331,318,360,136,884,525,845,406,141,093,676,031,521,753,539,792,066,
179,099,789,407,813,071,912,310,138,830,033,646,640,374,067,775,157,924,701,
989,853,084,610,514,715,982,992,466,356,867,439,683,804,254,057,257,754,501,
474,118,187,344,198,608,587,368,506,560,883,970,988,639,112,691,213,361,364,
310,157,562,914,236,847,018,350,830,800,542,947,852,345,930,993,415,466,331,
017,721,414,843,485,576,439,537,684,679,339,134,568,504,818,578,810,154,242,
298,163,904,906,624,891,332,599,427,017,298,825,187,498,149,778,259,259,151,
040,141,816,141,140,348,631,623,825,260,180,133,229,960,457,352,494,542,133,
487,823,315,830,924,437,222,278,731,344,683,671,373,032,260,791,129,699,668,
885,864,297,731,098,922,229,921,516,368,717,247,550,700,168,720,639,159,313,
057,143,212,697,249,052,062,565,460,352,798,502,243,540,498,154,373,264,844,
769,722,606,816,010,205,544,153,248,606,187,030,332,456,356,459,009,090,362,
514,184,086,232,172,255,344,676,786,705,301,644,811,984,269,104,428,096,960,
794,807,400,023,510,883,370,962,148,736,744,644,880,672,694,725,009,724,891,
196,454,212,406,587,678,875,245,084,547,702,039,410,671,313,143,365,450,610,
185,512,076,886,371,604,914,934,341,491,627,126,361,499,286,893,607,349,218,
675,476,206,210,465,545,744,965,034,658,863,911,552,287,635,991,620,031,474,
455,301,353,265,981,889,275,988,489,407,145,326,061,692,476,448,885,756,785,
064,758,475,245,455,806,198,250,137,987,067,683,126,543,404,634,724,431,429,
522,223,467,377,293,336,732,190,591,116,217,870,379,229,861,034,914,860,629,
944,926,811,350,157,350,737,611,044,115,601,432,277,982,923,984,652,522,262,
595,045,049,689,167,957,816,553,314,130,959,915,899,394,255,814,193,559,488,
412,423,299,322,662,133,722,937,908,027,299,450,624,363,737,498,749,288,573,
974,803,770,921,874,547,573,002,258,444,773,837,854,988,658,277,127,202,023,
796,022,701,566,928,906,148,852,407,235,340,077,649,155,970,888,949,024,542,
376,154,333,988,500,800,672,112,529,538,727,544,871,269,601,793,343,366,067,
241,489,779,371,480,368,292,076,401,841,323,358,805,734,657,894,058,415,687,
931,705,704,815,703,635,051,464,389,954,908,099,648,798,922,252,909,338,611,
278,203,915,632,040,074,810,131,151,515,214,879,478,477,844,994,142,734,058,
667,263,574,536,237,364,483,773,271,786,815,389,251,468,467,783,369,876,881,
513,491,926,163,027,190,968,027,592,808,464,020,348,116,355,663,114,864,309,
394,618,633,993,988,989,077,627,431,491,659,690,524,687,822,431,345,260,134,
352,855,911,235,520,998,632,033,357,216,859,056,254,876,448,983,245,644,858,
475,467,574,529,006,316,732,328,918,400,220,195,666,147,950,943,708,098,770,
752,883,194,967,984,161,802,221,736,755,573,938,446,472,142,506,403,686,855,
303,004,562,810,130,677,399,879,208,135,626,245,782,210,750,753,607,183,009,
922,075,273,173,633,480,612,038,169,626,131,573,746,834,724,351,477,275,701,
648,908,809,731,837,548,023,582,712,802,676,423,985,508,044,300,261,426,971,
063,496,274,472,567,323,332,578,376,549,746,469,942,511,205,290,017,269,588,
075,211,502,479,942,287,895,934,794,890,325,602,158,784,804,650,180,167,553,
911,838,917,454,120,579,096,816,230,994,186,924,162,145,756,497,720,138,340,
538,083,641,472,185,253,291,711,456,003,933,435,164,983,786,767,729,841,802,
261,583,329,660,558,843,133,394,337,042,034,634,223,035,168,241,391,048,381,
847,583,539,497,820,141,074,715,129,668,823,657,710,430,398,245,726,370,043,
216,310,803,058,151,653,763,690,627,956,762,947,739,160,378,011,567,869,348,
469,713,630,797,682,547,645,419,313,444,111,445,460,898,902,471,995,787,708,
748,628,254,539,720,273,494,502,586,936,106,378,638,333,824,011,837,066,330,
727,994,670,096,333,510,864,189,936,495,507,868,641,920,001,100,172,867,381,
310,701,992,501,927,448,071,472,681,646,451,378,419,920,113,680,394,444,952,
748,249,997,641,834,951,956,917,307,466,641,728,484,411,892,278,835,308,451,
100,683,816,323,640,675,529,023,045,945,433,671,819,862,518,645,068,165,748,
482,870,990,517,845,480,935,927,735,841,003,853,262,159,665,566,820,261,876,
587,973,021,707,062,755,913,709,437,850,215,602,430,061,410,496,995,752,563,
526,492,922,870,166,561,612,622,306,051,018,483,869,859,524,726,759,886,018,
343,920,613,086,211,721,773,938,872,955,801,474,988,834,327,712,488,975,911,
806,930,757,850,813,878,739,708,553,040,404,826,385,472,646,832,510,688,015,
816,457,937,998,029,927,748,707,022,862,709,275,123,288,482,555,892,606,667,
654,918,387,331,394,246,503,175,670,687,148,874,654,118,460,058,627,879,493,
864,881,203,839,692,216,929,623,400,675,779,516,729,241,757,976,297,272,799,
037,779,878,196,476,678,116,129,589,628,819,514,233,484,715,611,987,198,912,
046,746,396,310,018,671,785,168,116,415,366,129,775,155,419,180,338,636,962,
470,867,883,618,026,797,489,244,906,646,072,272,330,402,618,652,093,650,912,
973,151,434,785,165,303,628,468,971,495,020,286,902,227,741,150,501,932,791,
836,378,565,935,045,572,952,342,980,358,810,900,803,596,865,475,249,126,346,
636,889,806,556,364,004,298,780,498,130,731,350,214,071,046,366,545,246,047,
750,494,951,031,082,310,404,888,782,491,434,991,128,867,741,447,035,453,647,
121,735,078,455,920,222,474,513,043,634,742,763,456,051,896,841,074,166,071,
738,282,893,641,866,366,709,869,227,992,025,474,347,731,176,824,949,242,366,
642,201,862,408,878,406,288,919,649,244,313,997,612,962,719,542,882,691,619,
267,922,723,992,925,829,627,967,750,160,130,894,055,660,046,693,315,911,095,
825,265,495,727,399,840,398,084,634,896,187,063,464,271,157,933,035,983,244,
433,707,811,475,353,552,141,153,238,670,208,402,637,902,351,468,490,432,710,
136,469,624,120,920,608,239,425,049,008,889,788,440,067,581,034,484,212,305,
185,830,304,962,456,318,161,661,989,537,758,265,978,548,031,220,999,680,977,
382,327,145,847,382,734,829,700,535,096,876,654,345,064,710,929,524,282,192,
682,660,038,143,817,252,213,050,824,592,435,915,491,260,250,482,521,067,937,
137,781,415,546,810,256,941,375,944,966,910,793,725,208,200,381,584,594,724,
244,484,835,803,133,368,776,629,464,799,066,769,662,380,074,875,457,751,441,
369,715,830,877,011,463,528,338,968,007,623,646,979,556,215,329,535,372,514,
921,300,491,106,834,682,975,464,886,404,763,969,104,233,866,236,710,095,444,
132,850,552,014,884,754,242,229,085,658,035,278,129,387,084,580,735,644,820,
689,819,847,812,339,107,886,971,541,355,126,716,630,564,588,405,721,958,453,
966,536,182,684,374,479,306,174,883,584,522,688,894,508,080,524,238,693,045,
771,896,881,945,810,203,187,555,141,740,204,536,511,063,509,155,176,465,525,
454,514,812,442,145,934,509,701,868,168,908,523,936,676,214,991,706,153,221,
182,508,001,414,189,424,864,415,225,953,542,287,690,621,917,999,327,735,897,
131,183,276,037,402,536,029,481,218,841,032,304,215,802,698,004,749,698,823,
585,646,291,496,553,108,956,738,629,275,493,477,882,064,411,121,815,832,616,
147,612,767,193,552,730,657,424,097,475,837,836,368,217,215,665,160,522,384,
183,019,560,091,805,391,799,917,237,026,171,829,017,599,530,591,014,768,898,
002,693,053,982,516,086,530,637,810,611,060,358,273,358,565,878,781,644,613,
695,064,952,179,604,792,355,740,435,026,108,860,819,732,273,228,330,735,461,
596,529,326,199,807,495,650,577,577,750,327,536,184,780,873,965,929,003,839,
548,240,220,233,502,521,152,820,320,739,679,794,173,716,835,649,153,766,886,
272,272,244,135,158,947,946,595,950,749,903,399,265,610,635,759,294,017,118,
535,437,283,075,389,845,350,841,050,201,661,276,329,975,243,142,101,006,257,
741,928,930,664,708,530,400,411,006,649,321,498,376,703,495,410,439,778,772,
763,430,599,885,073,849,463,857,225,133,568,708,146,005,491,878,864,668,524,
728,735,410,247,651,093,710,788,040,585,043,367,317,418,785,729,811,218,172,
484,487,451,958,449,676,217,714,391,182,275,707,310,088,432,998,062,481,541,
996,604,246,016,683,535,780,911,903,138,567,001,871,846,985,074,676,718,350,
112,385,313,001,716,007,378,577,364,785,186,021,558,866,519,539,565,636,143,
757,252,509,748,184,137,109,265,545,005,116,152,997,511,789,011,299,263,066,
868,074,312,866,752,437,219,649,673,112,023,779,868,394,378,415,821,213,996,
678,405,236,142,583,226,498,129,670,866,789,401,167,869,807,082,694,829,777,
170,518,735,960,533,752,837,342,170,159,663,492,384,218,881,466,055,696,185,
933,391,133,574,371,009,815,755,246,107,882,238,826,540,507,899,537,260,496,
748,872,664,046,116,299,619,457,377,319,467,831,688,470,167,871,161,295,053,
073,476,413,023,035,617,895,764,278,143,485,230,270,532,823,146,028,818,659,
520,153,063,220,738,628,987,319,069,262,733,524,769,969,473,890,725,032,868,
300,242,319,902,638,301,642,919,745,122,279,079,534,533,733,487,916,655,701,
682,047,558,735,066,688,894,127,664,601,479,630,359,238,401,987,282,903,317,
444,921,328,996,647,223,938,636,694,634,729,864,820,233,290,407,972,139,733,
677,382,532,971,312,475,743,235,713,936,170,164,659,744,349,571,181,991,935,
847,236,877,756,985,426,974,556,311,252,821,962,848,252,919,284,835,811,392,
858,879,236,939,973,741,029,531,277,581,457,540,876,629,796,788,842,184,278,
328,181,588,775,525,218,970,546,936,156,681,176,179,338,092,877,533,315,215,
400,920,075,343,624,328,750,067,184,707,737,125,399,938,783,322,296,682,076,
437,632,300,252,038,013,442,750,559,041,737,063,061,537,081,336,113,055,608,
042,753,267,846,714,759,030,376,180,130,692,729,257,903,384,595,067,041,627,
439,549,669,910,293,736,996,770,058,779,953,986,160,047,603,851,361,140,529,
991,896,277,800,695,133,230,657,626,594,415,340,429,781,292,142,002,289,187,
334,205,886,641,337,995,023,274,508,877,919,169,444,960,753,296,702,246,240,
731,328,272,408,747,728,120,921,122,838,913,653,458,794,851,200,430,768,650,
246,536,990,658,387,187,675,009,768,877,181,167,665,818,828,510,406,321,823,
772,012,935,593,519,182,024,688,843,571,037,484,711,329,794,628,655,409,556,
613,715,058,546,501,923,941,128,614,185,731,169,176,543,164,151,422,481,116,
835,665,191,623,177,904,986,138,413,844,371,628,027,624,045,675,296,870,779,
885,898,557,466,143,003,556,987,735,253,819,397,969,073,730,993,576,294,903,
927,954,475,175,740,161,846,149,133,939,615,702,696,807,902,773,188,134,884,
458,263,541,504,019,157,193,085,526,458,539,253,924,101,247,048,875,316,828,
242,007,929,768,460,518,942,466,329,925,025,703,876,315,324,547,330,606,870,
378,364,309,146,342,900,177,189,310,705,910,580,191,009,192,893,220,449,404,
563,686,649,659,826,450,364,425,639,022,819,829,168,540,354,751,665,174,438,
400,324,410,209,553,266,204,012,297,127,741,194,928,384,229,934,132,095,890,
161,505,389,479,128,997,812,792,785,917,820,534,172,912,362,652,609,328,120,
449,109,738,089,963,654,666,753,250,850,092,704,251,103,043,489,367,779,900,
499,561,904,944,032,037,227,587,145,252,458,696,509,503,779,764,695,868,094,
734,567,766,027,695,672,208,510,052,766,867,823,027,397,099,965,453,510,197,
258,674,439,730,985,486,046,972,635,779,300,881,290,405,258,073,571,925,369,
507,940,180,999,883,246,093,066,977,838,610,451,143,807,906,736,748,897,808,
037,993,204,061,348,044,613,918,834,741,604,408,847,850,098,497,138,353,724,
848,096,618,975,457,133,538,988,603,887,236,975,740,803,434,507,266,913,337,
167,522,588,288,275,910,432,720,422,065,652,322,370,317,636,750,876,403,867,
626,615,077,275,663,842,997,719,222,821,218,354,261,676,988,198,790,618,937,
475,778,443,950,429,154,466,932,602,549,201,913,297,469,271,893,272,054,808,
428,999,141,182,999,048,435,765,105,100,078,824,097,877,669,192,226,334,891,
764,245,418,387,075,863,719,412,491,036,333,088,508,001,848,731,090,701,211,
076,138,672,663,246,126,794,714,179,562,881,950,076,365,324,106,214,326,781,
477,846,217,482,945,825,449,428,265,104,507,421,326,640,566,678,953,357,591,
078,642,442,039,897,857,872,277,438,859,667,025,826,687,684,722,264,635,220,
979,471,056,379,182,110,948,050,356,022,532,912,548,258,414,111,685,172,650,
866,346,416,689,916,677,687,018,741,649,504,936,466,237,888,422,859,314,934,
229,145,906,867,593,156,492,519,305,160,410,112,078,269,141,712,697,863,868,
098,049,323,084,523,133,476,766,906,132,461,282,959,446,855,926,270,444,336,
103,820,183,227,877,271,552,763,765,468,116,597,585,873,405,356,124,696,321,
865,366,938,751,898,500,052,294,559,717,678,203,471,366,398,923,658,648,581,
513,808,379,887,467,117,544,171,207,924,384,289,869,694,589,987,489,110,688,
094,983,452,352,335,459,374,189,780,702,297,736,932,438,936,496,595,843,961,
323,642,986,405,183,628,712,466,791,135,218,987,290,249,701,710,077,092,775,
044,119,199,577,033,580,020,547,063,899,057,411,602,436,186,284,197,027,016,
729,516,375,339,777,673,022,559,328,407,876,349,277,096,558,450,988,621,872,
245,779,434,451,310,016,158,656,824,385,077,640,774,263,279,604,797,110,659,
538,225,798,529,237,498,752,932,724,792,075,360,196,585,801,738,777,903,036,
068,078,471,276,367,992,162,681,766,839,998,971,092,431,257,553,029,234,094,
544,309,854,161,674,177,527,368,151,450,914,236,661,672,033,016,817,137,248,
685,550,890,621,586,514,114,758,744,223,876,928,032,942,673,267,978,219,321,
532,658,363,139,153,874,847,861,300,107,585,940,715,957,435,123,405,389,765,
834,283,262,144,498,166,169,256,515,608,084,021,813,001,928,077,769,009,384,
942,766,041,273,688,874,422,931,660,730,167,798,157,269,191,018,217,510,761,
853,891,404,897,010,886,932,153,945,659,999,301,848,515,868,419,164,271,503,
575,553,772,405,797,095,338,464,299,229,489,207,514,089,487,559,605,092,660,
177,159,829,263,817,559,377,659,556,303,344,220,199,551,746,942,645,136,249,
286,471,872,814,983,592,949,373,543,350,449,403,793,899,443,480,669,303,477,
075,296,346,880,477,585,624,256,562,782,398,269,895,918,014,271,036,948,581,
774,999,308,501,313,301,704,059,125,777,732,515,316,781,867,706,355,110,468,
963,775,722,931,352,461,269,503,082,132,925,796,572,124,544,516,571,656,451,
334,670,509,415,927,512,934,998,639,064,624,512,313,682,864,224,216,631,202,
290,133,362,961,892,911,257,330,718,193,323,485,668,898,546,977,623,378,370,
132,107,315,548,736,246,830,126,411,230,512,768,877,673,543,733,894,155,191,
136,720,236,631,754,752,085,724,502,344,881,878,853,697,669,606,347,721,873,
017,230,690,765,470,407,860,470,642,134,855,720,042,572,788,701,769,884,562,
659,427,961,440,443,136,106,416,131,437,859,694,630,485,079,492,096,880,569,
418,365,774,455,204,546,874,394,977,999,400,130,473,649,890,868,807,304,750,
837,256,798,127,807,261,571,114,321,121,152,428,165,515,977,648,580,341,673,
005,187,062,258,435,493,702,275,964,485,318,765,237,693,681,627,072,152,909,
265,604,364,358,243,517,428,781,774,249,838,870,075,317,381,018,709,326,344,
001,564,030,469,422,841,232,690,593,928,774,450,483,939,198,903,133,197,363,
407,375,370,438,773,968,369,048,385,511,825,256,484,165,974,187,140,777,807,
164,479,880,682,554,964,858,184,377,600,787,855,018,638,131,048,261,477,017,
540,491,708,759,970,669,774,791,895,808,769,734,016,745,093,934,003,065,919,
203,802,704,453,795,101,009,012,825,949,579,697,912,815,964,805,016,975,343,
908,387,005,853,991,616,598,943,416,658,069,582,466,538,079,417,206,487,966,
749,820,535,703,511,424,614,656,144,311,590,237,792,160,861,559,388,288,852,
105,786,081,965,559,660,943,929,046,418,198,512,985,942,829,086,146,716,264,
037,403,918,074,714,006,128,799,723,775,940,979,855,755,115,205,723,236,277,
917,174,474,636,544,589,746,242,107,380,866,880,352,100,260,928,212,464,472,
368,441,822,447,222,911,730,927,631,050,141,168,818,667,214,524,253,465,196,
212,786,937,277,655,247,992,082,171,596,361,566,297,886,133,606,898,766,139,
346,349,022,642,396,715,812,413,539,456,418,027,574,791,396,768,136,618,921,
849,815,792,525,424,312,287,510,513,114,411,264,243,125,618,517,032,684,988,
956,715,046,968,852,743,428,335,913,129,601,605,881,486,010,064,853,870,010,
921,942,766,229,083,116,312,966,408,947,184,011,674,852,289,317,823,082,622,
193,630,502,899,408,265,807,159,668,027,873,269,872,364,924,259,494,359,147,
473,292,133,084,024,288,518,472,819,855,938,307,566,944,301,632,337,914,984,
755,638,234,914,527,119,956,148,474,311,100,290,178,501,586,795,442,399,506,
442,487,065,928,992,766,333,720,023,399,518,694,181,364,529,310,047,457,005,
838,805,030,587,851,703,823,545,909,731,977,715,865,455,221,389,899,506,395,
132,217,527,261,584,893,029,588,280,980,950,886,631,417,395,427,642,499,907,
190,261,740,303,408,500,584,001,171,548,153,686,130,734,116,120,450,487,769,
752,630,321,859,798,144,544,322,869,511,839,844,719,636,690,946,767,105,264,
591,960,696,471,355,065,482,296,185,544,632,260,881,041,944,650,361,252,232,
390,769,357,263,039,040,753,572,969,027,361,088,801,052,352,979,564,501,303,
712,522,337,623,560,154,992,931,357,036,371,853,995,233,659,220,195,825,472,
143,263,735,842,505,512,157,642,606,919,472,081,150,439,761,488,836,975,514,
197,901,565,665,368,647,244,654,409,541,353,701,951,845,075,011,292,266,470,
675,251,666,087,513,132,639,657,066,220,427,409,240,722,155,878,076,878,520,
147,043,393,342,540,983,789,370,973,202,012,848,962,647,798,099,913,123,823,
046,224,465,901,084,721,833,916,213,406,657,947,094,315,590,128,460,470,113,
930,730,753,668,513,972,675,935,627,013,311,205,995,564,524,522,908,099,683,
019,708,435,176,548,873,703,889,570,965,468,858,460,605,576,447,980,552,361,
641,145,741,396,516,043,451,678,707,789,394,977,716,354,301,169,483,448,133,
740,247,408,472,774,874,661,109,729,898,178,497,313,618,544,482,660,795,883,
894,233,243,258,618,458,280,520,885,257,196,497,138,862,676,415,664,537,078,
766,395,730,479,883,638,079,869,755,112,465,175,595,739,352,935,470,793,216,
290,620,432,086,219,345,998,671,944,403,416,236,356,073,473,626,544,481,606,
920,252,118,093,775,463,689,113,266,653,176,063,701,904,898,739,300,042,357,
467,261,777,688,326,795,524,774,120,346,087,444,387,337,198,125,697,205,057,
256,996,748,713,159,619,831,946,048,286,589,652,358,299,043,139,014,349,362,
070,331,533,263,159,455,280,060,997,363,452,752,771,974,061,443,705,164,875,
474,770,917,053,532,742,796,961,672,585,063,543,161,237,583,437,182,963,813,
980,686,130,946,063,463,475,850,349,249,018,218,267,513,599,704,150,722,569,
432,290,356,735,735,970,417,189,252,479,463,133,985,088,969,980,596,318,551,
966,246,879,385,313,391,472,297,782,949,163,956,563,567,585,841,767,476,737,
542,264,998,048,628,248,113,712,073,774,741,558,425,425,234,345,706,478,259,
490,240,359,035,875,238,074,919,167,560,848,329,817,157,088,176,771,654,022,
396,495,563,112,489,570,564,054,969,218,295,465,673,065,868,666,268,667,195,
918,060,821,721,918,066,600,594,854,516,087,222,407,999,178,209,710,238,034,
692,026,417,995,405,325,139,053,253,462,056,394,437,908,737,719,705,163,420,
654,600,797,848,786,839,418,500,780,811,752,098,239,967,272,745,970,123,014,
828,624,632,092,702,362,528,799,246,313,805,667,183,971,671,610,610,858,161,
368,925,188,932,941,468,392,773,183,459,203,973,332,355,536,930,219,134,742,
847,903,858,694,315,692,509,069,704,534,300,736,909,786,939,412,382,142,706,
605,482,968,311,106,533,811,727,400,016,408,104,281,626,599,371,013,099,233,
501,827,307,417,051,565,312,281,917,752,388,123,202,618,026,802,309,502,124,
628,697,279,019,186,159,893,801,656,897,220,578,724,887,215,355,491,617,778,
387,019,478,998,171,680,852,440,758,547,500,542,144,421,579,786,724,942,552,
991,765,862,714,051,238,367,887,866,032,371,391,452,242,124,675,475,292,849,
378,129,248,406,890,212,458,959,974,258,334,276,935,184,787,920,450,533,197,
797,066,272,479,776,419,827,421,430,737,982,232,982,473,751,561,887,936,902,
383,717,158,587,045,050,677,296,424,454,598,184,470,955,470,961,218,152,089,
571,271,684,120,879,396,987,837,868,136,249,947,062,349,122,752,203,531,667,
660,804,653,879,378,733,066,510,703,175,931,976,061,488,967,632,954,604,652,
266,630,226,543,388,326,098,371,509,351,315,190,326,963,684,183,880,347,269,
322,747,073,497,629,167,613,911,110,988,206,573,597,811,476,867,385,063,321,
280,922,290,925,996,975,553,010,354,222,852,813,259,183,143,131,938,325,394,
562,067,893,114,658,311,560,066,949,239,585,699,919,046,927,733,715,404,704,
899,821,227,602,799,308,755,996,008,275,032,236,045,139,778,052,811,117,489,
083,526,011,935,559,311,181,702,023,027,281,016,945,511,828,315,532,016,876,
101,583,264,523,384,685,920,574,248,434,065,971,528,640,609,221,963,394,259,
575,587,702,469,604,140,177,947,023,899,725,317,355,341,715,035,787,013,335,
844,849,499,151,632,195,293,229,791,299,684,855,459,953,034,393,028,121,852,
671,741,594,778,618,578,896,796,103,027,211,567,426,919,796,696,543,407,478,
550,118,845,014,351,873,025,404,445,340,878,433,197,664,387,014,364,778,204,
156,850,252,750,323,154,156,066,447,238,567,150,313,624,553,329,568,225,137,
600,092,580,197,958,544,643,901,809,453,928,256,144,058,244,892,978,575,325,
953,755,183,955,450,801,577,319,299,038,367,005,261,106,193,536,068,124,725,
670,271,661,482,085,329,560,224,515,884,549,334,678,938,309,779,019,523,272,
481,752,424,583,824,769,405,225,159,119,447,837,991,251,136,840,061,113,280,
014,134,810,676,741,218,111,859,255,956,640,975,545,623,268,978,891,559,043,
716,095,381,361,530,889,865,854,946,469,095,956,753,891,071,198,316,778,766,
630,108,799,647,481,784,200,853,270,954,632,907,468,111,615,026,010,509,983,
720,663,204,515,997,853,072,321,008,352,709,786,172,149,631,949,973,479,628,
493,602,287,010,021,895,042,256,425,322,703,753,604,785,022,293,962,252,932,
477,216,557,678,108,037,090,684,592,118,136,024,679,964,966,627,304,826,785,
990,503,570,093,118,237,959,696,123,235,880,107,834,521,468,966,541,970,972,
017,209,889,622,198,587,912,982,211,417,399,648,321,000,722,794,945,439,121,
358,659,652,280,870,447,805,746,718,119,815,376,610,729,241,749,776,523,754,
107,937,591,458,207,169,023,865,910,834,899,597,701,603,548,498,837,604,605,
753,851,283,613,977,873,305,749,903,729,288,338,402,410,266,562,315,383,276,
902,763,433,789,607,897,783,789,461,169,624,811,386,610,410,076,867,137,749,
329,996,075,664,204,296,495,461,640,452,772,672,017,589,006,448,313,328,199,
032,180,315,441,736,331,554,117,432,296,743,985,292,947,803,470,838,842,348,
948,623,166,749,704,262,456,657,655,083,813,167,652,148,785,426,269,111,163,
867,298,844,140,989,934,258,873,579,071,332,963,881,858,786,196,715,540,160,
398,202,133,048,974,576,867,382,701,524,005,981,480,926,904,300,613,578,827,
331,625,861,957,497,873,884,702,252,300,185,142,205,294,692,860,169,013,966,
717,269,886,657,701,202,952,250,738,682,685,697,696,001,353,188,971,133,045,
528,006,287,933,085,814,471,946,818,897,719,879,940,165,843,957,438,659,335,
538,246,030,972,054,657,929,351,609,031,917,038,188,951,082,776,129,200,132,
470,759,387,146,371,170,139,647,108,127,492,184,596,898,034,011,480,380,657,
781,849,771,422,004,218,451,208,275,635,522,917,544,016,990,279,931,100,759,
959,486,486,763,190,749,086,454,077,664,576,012,251,577,327,682,177,997,822,
838,480,078,138,318,132,169,491,499,563,872,767,790,942,088,922,668,230,807,
992,183,256,461,786,388,929,176,230,086,358,222,261,519,698,753,340,144,514,
675,074,898,499,962,412,697,061,944,932,545,894,936,783,966,743,339,406,478,
736,594,696,161,668,150,659,771,664,453,874,764,531,633,533,540,093,460,370,
625,493,058,923,133,305,543,669,196,175,939,898,784,304,614,148,399,551,638,
113,905,093,743,553,648,559,279,475,316,048,966,382,891,748,041,615,060,107,
812,114,628,052,560,804,476,661,993,235,938,801,445,510,983,329,870,835,291,
818,158,869,265,510,178,503,198,260,999,627,393,929,128,519,309,643,663,415,
972,484,089,537,956,522,461,687,466,921,435,562,256,211,535,932,830,791,858,
756,892,731,042,516,696,040,611,598,068,004,905,974,010,547,551,221,228,917,
942,206,674,935,826,581,026,987,741,570,617,896,756,684,451,002,548,327,717,
924,357,739,568,985,769,145,535,626,178,582,744,312,115,869,300,756,334,899,
445,563,830,351,610,833,806,795,312,946,320,153,163,290,868,847,949,039,600,
561,818,283,506,294,802,619,058,573,356,644,880,061,170,879,644,011,164,516,
417,031,264,589,488,420,517,998,230,205,701,707,652,560,442,021,331,923,664,
893,884,879,069,425,197,443,282,032,903,622,329,637,457,599,381,577,823,724,
659,213,037,802,897,712,999,765,761,285,903,875,885,598,190,449,284,745,928,
978,304,220,277,422,588,898,240,610,156,167,958,206,111,799,666,506,544,621,
615,383,810,467,896,151,576,139,614,314,192,318,136,406,972,066,210,738,661,
803,744,287,614,295,585,913,936,142,940,059,767,422,072,375,702,874,795,910,
053,504,383,521,083,352,093,244,581,897,963,532,979,400,867,593,766,952,673,
125,110,661,076,691,782,877,402,139,614,006,322,472,740,249,825,186,856,233,
127,759,520,881,779,214,765,200,712,890,914,287,755,516,151,439,611,067,435,
806,364,478,874,673,579,223,936,600,589,981,702,741,784,845,819,888,031,122,
932,096,722,225,204,322,089,107,863,997,744,199,341,723,306,749,259,909,747,
693,850,407,600,911,177,844,132,013,448,568,895,589,310,056,097,129,918,748,
873,509,199,829,090,483,552,236,489,201,400,434,090,081,239,763,323,592,051,
093,731,604,487,282,165,828,409,584,372,148,598,420,168,450,752,579,583,606,
413,689,470,352,249,218,706,225,217,643,735,479,658,028,868,404,578,799,897,
006,647,538,231,644,666,824,899,838,565,337,379,485,317,292,951,245,259,347,
174,119,186,590,108,126,821,442,043,716,654,074,212,233,437,900,191,814,988,
561,611,755,071,858,420,268,054,188,551,520,763,998,946,097,039,422,096,912,
752,676,040,831,730,117,657,367,552,415,088,787,543,317,622,838,731,356,614,
999,979,715,766,376,858,259,815,393,571,292,338,176,699,740,343,253,232,950,
432,224,768,026,764,757,507,791,854,515,737,310,341,103,241,375,114,707,487,
033,825,548,967,172,125,017,661,841,903,970,061,740,244,751,075,759,159,246,
054,586,100,954,170,303,856,417,918,607,474,866,236,801,189,321,969,114,740,
647,401,394,989,966,002,969,613,966,847,285,301,201,865,617,181,606,225,003,
066,855,090,974,146,959,297,506,564,359,017,097,035,996,947,887,921,000,009,
988,650,685,129,143,821,910,021,849,391,877,846,999,763,834,101,711,018,669,
569,802,877,445,877,428,758,905,983,786,616,790,315,958,118,049,095,529,312,
814,225,555,258,885,736,169,225,476,466,624,736,645,102,581,967,411,103,296,
778,665,214,911,435,136,719,954,158,219,617,964,681,310,217,997,733,997,463,
849,955,101,029,622,321,808,460,718,954,300,978,431,687,328,911,636,233,269,
669,168,951,921,570,134,715,289,500,616,559,471,140,130,722,805,014,986,931,
726,519,710,528,820,133,290,468,131,302,932,406,383,417,623,548,424,919,281,
755,326,593,158,660,170,616,434,252,215,649,282,239,423,158,879,519,886,889,
710,589,668,630,738,222,912,140,129,303,467,442,627,658,942,627,763,404,475,
931,358,852,808,094,707,427,463,894,445,273,846,117,255,006,519,276,986,352,
766,498,968,920,958,612,415,961,717,287,486,939,511,075,456,589,340,473,359,
491,396,072,455,905,648,803,774,742,205,722,793,914,037,009,043,988,528,669,
017,175,128,083,387,459,310,910,857,944,634,769,738,731,977,317,710,597,875,
533,485,597,722,118,952,945,322,252,078,385,050,398,011,546,399,072,953,750,
253,458,145,718,476,429,010,758,976,390,648,412,375,044,205,103,361,991,757,
864,258,931,033,514,179,917,366,938,394,015,567,718,861,714,219,947,960,579,
097,775,772,301,389,764,651,524,114,404,923,135,426,252,600,823,184,614,683,
067,156,347,329,347,891,282,467,072,603,695,705,206,669,578,629,985,591,668,
286,598,597,436,039,556,773,733,121,843,204,731,921,887,756,676,391,834,645,
697,172,155,634,898,954,388,699,413,353,574,167,754,981,468,762,958,712,239,
980,865,506,676,525,121,111,835,611,406,833,966,490,926,737,241,822,967,669,
534,319,492,979,351,606,692,429,385,047,773,579,346,365,066,183,393,471,543,
908,664,921,534,273,153,750,666,890,781,168,191,705,155,161,845,020,968,436,
233,643,219,348,010,472,428,271,937,568,601,330,961,202,212,070,576,432,203,
764,856,408,985,430,128,224,681,868,620,949,760,153,372,805,617,038,710,699,
725,558,112,570,533,906,409,527,845,222,247,504,201,531,615,525,023,577,907,
943,220,058,386,814,696,727,088,279,857,196,615,507,581,086,771,970,284,032,
051,838,650,015,638,516,372,313,605,676,516,807,321,717,638,850,407,448,556,
599,723,729,547,782,935,141,396,575,349,671,502,389,300,874,193,090,491,644,
783,762,234,142,918,848,969,268,762,303,611,402,073,961,394,712,486,532,322,
493,224,837,717,059,516,175,894,146,586,833,767,563,449,494,353,815,219,697,
873,627,773,867,596,430,786,324,248,460,778,470,308,522,578,793,511,966,506,
034,284,313,606,316,399,094,174,378,409,856,043,556,825,761,370,471,654,298,
511,558,924,874,240,887,778,595,065,794,574,053,856,440,838,092,017,845,474,
722,998,949,423,026,566,241,368,988,284,158,758,214,761,157,114,031,063,887,
954,216,958,990,360,941,738,517,392,403,671,693,593,884,148,508,884,723,558,
853,189,518,267,767,979,577,837,790,193,174,124,028,289,835,692,027,557,155,
216,847,290,701,748,010,138,669,113,450,778,843,801,151,143,202,438,224,184,
653,161,584,921,782,148,526,655,557,493,344,268,379,086,622,549,306,202,756,
535,314,643,007,811,524,558,551,488,752,911,513,263,777,443,493,986,893,231,
874,784,351,584,619,441,593,805,813,782,235,847,119,988,395,272,134,374,703,
458,875,950,453,780,432,267,483,612,138,163,956,222,924,077,876,654,848,405,
255,429,598,558,856,873,181,022,762,444,153,758,634,933,124,391,555,891,696,
885,900,834,053,620,034,862,202,895,414,206,181,180,596,483,561,429,099,889,
150,096,060,307,671,205,060,129,473,199,229,710,339,567,246,390,785,537,840,
813,399,789,113,207,392,281,532,395,543,814,627,522,960,480,590,785,652,806,
024,746,305,301,726,387,658,836,450,749,244,732,211,339,322,824,534,055,664,
688,085,720,608,710,144,184,217,740,496,539,707,708,454,026,457,153,980,051,
234,297,057,124,389,998,626,656,196,676,225,421,247,203,129,360,766,329,300,
108,763,971,315,554,133,070,107,607,052,057,878,502,629,991,042,298,025,441,
536,577,927,388,064,728,108,893,063,622,572,422,285,834,087,901,673,101,458,
395,992,251,076,266,038,053,167,629,213,774,730,123,257,765,462,439,647,226,
487,550,198,579,391,708,620,518,236,515,064,639,036,310,789,947,163,426,073,
263,611,391,313,391,686,528,182,634,044,650,493,278,948,951,524,778,198,767,
035,404,031,859,781,575,378,962,851,824,133,074,976,834,931,432,984,119,742,
047,449,309,224,150,821,870,362,895,830,397,599,464,851,511,589,690,888,510,
793,976,878,175,761,109,769,022,737,246,502,927,592,192,347,542,566,672,973,
584,839,857,073,408,429,790,201,531,258,029,183,380,910,462,925,219,401,812,
671,789,661,806,965,474,555,129,518,915,657,815,159,121,977,876,869,211,183,
387,531,910,272,418,382,786,494,367,552,239,585,477,079,908,615,974,486,527,
984,205,043,565,333,346,294,902,896,195,078,403,842,933,620,556,432,587,155,
246,045,529,102,911,541,170,790,915,364,110,743,512,698,710,918,122,336,678,
665,607,849,123,619,626,490,758,422,442,728,471,931,696,743,982,131,806,794,
325,837,661,371,028,007,510,572,583,540,977,861,186,858,349,654,711,554,484,
480,699,861,144,137,321,799,116,923,925,038,061,776,500,471,057,512,181,713,
401,535,156,186,485,100,872,004,992,233,472,325,109,226,341,680,144,772,887,
382,537,601,547,930,034,712,779,811,717,770,082,308,749,692,061,652,322,460,
677,556,149,858,074,595,445,095,598,954,290,037,074,057,088,822,041,838,300,
901,914,931,421,120,291,719,374,850,701,257,958,865,977,335,316,099,794,408,
641,033,944,880,656,773,720,001,570,838,066,077,057,698,398,762,253,438,388,
821,681,014,449,726,570,377,846,506,666,639,628,985,268,551,590,117,298,153,
327,998,575,923,001,983,223,684,693,322,083,915,582,366,342,284,800,827,553,
505,936,025,131,413,246,726,402,875,463,312,434,486,743,816,386,521,407,979,
855,535,197,036,735,588,446,657,279,231,866,774,683,356,110,802,238,552,667,
276,689,600,610,117,327,663,119,060,164,339,569,488,645,987,860,270,183,445,
416,938,852,402,319,899,615,890,732,990,894,559,697,435,525,987,947,413,192,
639,723,623,629,916,472,637,204,309,235,439,137,514,909,959,136,589,345,382,
029,792,531,844,143,338,783,147,183,628,867,267,294,735,719,209,619,979,837,
087,016,953,902,974,781,326,737,911,255,554,788,096,670,380,190,800,376,160,
208,960,526,062,092,593,473,289,409,781,601,840,133,624,248,652,733,244,658,
836,763,204,309,522,277,769,802,582,511,394,290,291,470,942,360,659,922,707,
288,076,062,897,138,427,967,639,057,166,187,975,912,647,993,128,916,458,715,
115,601,001,139,213,139,803,768,566,322,946,215,369,424,277,919,665,362,342,
720,716,211,446,306,449,137,940,352,894,771,758,498,251,093,072,933,353,716,
516,044,639,159,698,145,526,983,514,191,461,389,246,452,967,163,363,111,836,
968,707,907,721,486,709,459,395,986,173,866,493,100,870,760,031,684,434,818,
529,528,452,233,594,443,576,641,959,073,406,256,242,265,880,706,404,260,199,
858,271,298,295,815,540,089,043,631,387,280,197,528,839,936,192,514,637,810,
423,778,223,400,653,173,812,134,643,899,488,621,895,164,156,282,165,321,280,
689,892,315,976,886,287,071,398,784,947,333,642,522,980,216,850,386,393,635,
071,652,694,345,205,064,162,872,044,304,875,822,914,123,812,518,092,215,695,
544,820,444,059,862,045,694,697,513,693,980,883,194,396,174,051,494,899,691,
221,784,778,096,334,973,659,249,999,765,085,676,344,960,356,867,340,536,849,
868,476,488,424,223,389,932,752,223,772,434,029,815,157,346,183,708,750,886,
795,172,864,376,555,240,353,448,843,418,871,869,062,303,968,937,695,837,209,
937,383,136,391,444,671,506,272,988,365,599,072,699,814,107,818,855,586,883,
891,833,652,610,725,297,775,746,053,050,431,010,001,443,876,893,264,399,730,
915,536,969,373,495,419,492,568,421,650,910,707,027,629,721,995,768,599,069,
528,990,607,513,310,919,217,745,874,837,350,506,268,240,888,443,323,234,916,
830,931,261,036,114,703,040,727,862,416,729,549,128,328,121,539,766,199,469,
019,785,153,315,774,346,863,131,589,458,982,984,315,494,072,372,157,230,195,
587,394,247,949,801,680,813,135,524,395,355,339,053,106,017,740,774,688,176,
400,431,777,903,900,162,805,171,852,644,605,261,610,005,327,741,249,218,449,
653,057,331,567,471,630,709,625,653,134,387,880,018,145,868,698,402,178,979,
205,586,357,699,885,278,524,231,193,809,424,132,111,785,576,963,962,941,756,
022,431,458,006,804,339,756,489,587,954,313,165,173,633,447,716,464,607,151,
847,243,169,098,943,709,590,170,074,561,629,800,913,132,648,213,427,031,914,
348,227,341,725,133,460,672,870,587,888,356,282,165,958,743,024,395,065,837,
235,793,030,021,669,311,852,062,308,711,720,732,151,280,046,242,226,850,299,
069,603,815,731,475,335,068,986,680,818,180,557,406,308,754,657,326,375,102,
793,467,640,326,890,529,299,956,305,709,580,007,228,794,567,145,281,092,359,
378,310,626,316,270,775,381,580,974,699,762,157,147,140,568,332,032,557,421,
650,610,051,433,904,690,011,071,855,122,696,001,105,027,625,890,325,476,051,
471,167,383,802,261,723,584,739,239,332,966,795,603,105,565,129,241,599,308,
755,033,280,558,409,903,165,828,537,461,616,599,176,547,882,128,723,332,532,
919,415,444,019,239,657,989,807,787,092,025,394,298,822,472,971,956,669,301,
911,710,892,275,040,107,149,440,816,481,979,432,457,179,605,978,687,385,495,
285,769,105,020,711,678,587,143,702,076,008,820,957,260,344,084,873,426,910,
141,795,793,522,591,433,845,925,081,365,198,822,796,584,608,438,690,496,730,
876,953,069,919,661,945,601,838,318,582,076,673,866,065,297,376,765,148,154,
988,080,213,329,408,956,276,712,522,352,086,703,479,909,150,452,664,792,943,
968,427,166,343,116,359,832,763,360,616,547,400,123,201,797,140,751,371,294,
561,233,360,846,226,896,656,905,789,139,959,306,238,005,317,373,281,713,656,
182,926,710,621,290,964,240,939,497,460,233,659,986,960,775,338,028,471,498,
485,773,675,458,139,976,193,592,689,506,588,876,805,927,868,409,371,749,536,
758,536,948,919,315,951,058,191,995,203,711,551,616,326,014,177,369,800,327,
052,800,355,817,029,824,099,496,748,753,609,333,847,939,090,082,336,743,472,
694,038,216,507,106,319,978,864,472,535,319,302,195,001,339,557,490,950,266,
685,948,353,617,714,996,322,865,293,755,558,044,061,479,531,606,727,158,979,
878,211,048,842,816,954,879,500,550,620,940,206,242,268,921,779,111,340,064,
096,791,515,620,057,141,702,259,692,733,558,160,380,010,287,449,138,850,403,
546,673,378,266,466,304,597,234,270,833,630,391,180,932,519,174,775,826,693,
987,664,203,671,682,806,800,464,266,041,250,933,514,413,327,788,661,875,469,
192,817,847,312,989,934,660,040,661,219,739,718,530,741,432,741,628,053,546,
078,237,942,871,425,934,191,656,425,138,855,580,299,410,995,145,706,901,557,
912,509,340,776,273,435,565,402,243,407,793,324,366,311,975,135,708,893,452,
746,913,994,460,357,684,998,768,512,898,698,164,091,844,072,990,680,750,832,
185,791,407,829,225,018,762,430,519,024,217,194,810,594,898,247,013,473,046,
901,246,020,582,309,156,769,029,999,058,434,015,440,699,346,952,341,474,965,
989,416,315,365,617,324,580,845,486,625,603,689,093,865,121,285,040,701,696,
853,616,268,702,050,050,336,387,854,692,673,795,534,460,606,900,508,693,914,
681,353,553,468,113,925,460,515,696,766,690,800,643,346,459,347,503,873,932,
486,053,255,424,833,374,421,654,016,820,183,791,476,621,525,510,549,458,022,
670,116,275,081,771,222,779,824,287,058,560,280,926,748,652,352,912,929,345,
940,515,537,929,974,552,436,053,996,434,936,685,504,163,259,186,366,864,953,
954,546,610,374,304,900,492,308,453,024,336,595,387,025,501,813,905,508,420,
798,945,408,192,872,895,041,169,915,928,110,133,040,757,723,323,766,390,356,
770,461,391,813,201,472,323,456,539,491,125,610,899,420,812,927,236,164,457,
450,957,140,037,332,644,009,887,371,268,836,532,571,103,774,468,063,964,339,
491,330,314,528,877,413,105,530,613,563,988,470,824,791,410,916,646,346,156,
872,585,719,572,031,893,003,775,901,922,885,656,909,461,998,239,956,024,005,
030,956,332,336,917,234,238,223,131,003,481,225,493,224,979,839,540,804,957,
414,878,896,872,974,813,410,840,275,244,794,912,375,191,832,710,317,962,983,
076,983,109,819,916,681,317,245,176,275,774,821,518,377,460,116,406,163,370,
491,796,147,660,541,219,461,372,869,551,400,523,766,476,369,951,931,301,047,
251,193,373,706,619,695,711,570,939,754,456,680,806,011,837,989,105,085,421,
104,935,299,980,646,668,480,637,741,497,125,650,271,555,219,996,563,287,994,
461,105,675,048,691,834,485,135,320,580,159,359,643,885,622,041,352,828,828,
013,038,912,675,676,654,241,293,321,218,154,894,340,275,330,605,111,909,902,
348,961,778,020,702,670,185,110,680,243,605,745,156,571,962,363,002,687,949,
691,053,114,747,847,390,671,811,103,401,453,548,718,919,538,355,129,610,169,
001,363,079,135,855,890,138,772,446,104,314,875,448,714,664,054,352,192,236,
356,483,241,603,328,304,651,128,354,020,761,212,931,892,890,127,880,529,675,
809,131,953,948,226,162,497,867,525,378,090,124,149,650,603,967,790,532,318,
403,447,554,622,999,433,695,718,787,668,237,154,810,934,546,400,922,785,785,
930,533,633,950,108,447,836,976,341,796,178,319,323,127,248,584,965,089,492,
503,435,340,846,903,810,346,115,040,088,225,587,663,550,841,101,359,389,048,
764,589,503,002,256,215,084,075,837,178,976,835,224,921,569,491,854,823,766,
414,663,795,859,542,076,821,016,357,425,877,472,191,215,533,705,121,075,705,
270,483,327,378,632,150,661,667,954,925,800,000,261,855,924,693,160,510,160,
376,010,964,468,899,273,026,077,029,144,468,887,506,122,383,646,683,481,192,
302,211,278,341,210,623,916,207,083,723,465,211,179,653,787,613,658,302,029,
743,087,788,830,081,777,395,962,379,573,777,503,511,134,513,616,644,253,644,
811,299,589,095,716,456,887,823,625,545,980,550,549,939,810,419,972,580,452,
246,279,059,553,589,297,770,423,097,244,337,013,611,354,951,858,354,766,634,
015,265,615,572,598,751,029,465,325,697,910,763,677,283,517,689,207,079,693,
400,194,242,530,032,063,370,730,276,012,481,935,175,441,819,367,026,283,101,
975,303,807,258,750,892,198,673,643,984,390,823,245,460,214,283,820,762,180,
963,721,811,678,000,076,653,467,188,630,027,166,489,398,003,079,514,710,574,
778,320,637,090,922,266,578,549,705,753,531,781,096,908,885,116,222,682,951,
705,031,210,462,379,177,744,013,666,516,131,571,675,728,460,616,984,490,316,
300,156,299,274,804,468,931,148,684,216,650,234,180,977,646,185,954,596,339,
494,398,725,348,123,109,450,904,536,380,372,514,058,887,645,091,423,293,204,
696,561,739,111,409,746,922,115,213,071,451,286,660,415,816,180,486,059,084,
703,081,569,668,742,408,385,938,979,849,449,664,156,085,815,201,663,090,770,
613,006,348,977,675,635,274,390,234,653,465,016,769,895,270,492,792,196,856,
220,993,363,349,426,906,286,360,687,163,882,927,222,093,666,403,822,057,241,
193,838,758,469,025,477,900,432,527,692,634,016,554,412,207,115,127,280,196,
360,599,111,103,267,633,639,864,594,175,292,340,656,051,859,403,622,877,806,
585,461,168,203,542,180,657,407,040,263,029,266,641,117,010,419,690,684,623,
260,074,519,409,486,467,426,346,493,346,925,946,731,670,776,170,477,957,595,
968,887,684,216,822,317,741,821,567,729,342,184,575,545,032,050,829,858,847,
097,313,053,736,464,443,481,070,404,489,585,871,918,141,002,569,137,178,396,
892,902,157,161,167,208,069,180,378,030,200,725,167,661,088,194,706,313,457,
000,949,277,689,787,527,927,891,180,575,635,231,647,981,527,022,742,150,967,
590,538,300,590,818,053,400,893,724,968,731,984,441,587,271,404,723,874,685,
005,509,768,123,449,074,670,476,614,754,371,938,256,024,392,312,335,559,156,
924,127,772,279,520,564,240,933,380,741,212,594,212,875,655,537,361,362,619,
660,909,965,419,693,701,707,062,146,848,319,926,050,823,210,977,365,620,197,
792,643,740,201,065,055,800,302,828,687,294,207,640,526,411,726,405,532,045,
500,389,417,487,022,388,623,520,236,462,269,679,265,967,930,406,659,000,421,
607,298,162,112,103,551,299,564,421,896,089,586,719,064,277,998,044,833,730,
640,819,073,277,509,176,471,936,268,449,008,573,030,004,065,227,853,736,041,
499,376,362,722,337,549,930,336,414,982,564,309,547,387,061,230,626,789,627,
791,379,216,672,309,906,554,098,574,072,874,072,070,317,158,770,912,666,016,
641,702,658,997,231,654,503,215,061,743,170,702,374,447,323,585,244,522,285,
353,058,422,005,237,874,396,303,825,974,596,642,765,818,697,145,161,345,434,
155,203,016,777,335,724,401,354,984,024,125,715,704,947,214,855,334,620,436,
301,037,344,488,028,042,452,159,094,428,275,308,873,088,706,408,675,842,623,
361,693,057,402,164,925,482,080,881,223,139,371,575,431,502,395,568,068,277,
415,467,350,478,478,097,221,929,560,264,258,327,831,559,040,743,123,175,742,
653,963,102,366,747,088,658,423,682,992,063,323,308,675,484,619,151,308,086,
288,470,785,297,224,751,354,546,304,202,389,338,583,567,631,079,428,285,491,
210,640,180,906,938,698,609,947,600,330,397,049,722,901,029,531,691,307,375,
803,693,133,053,229,939,173,132,688,272,042,556,385,298,103,428,141,435,356,
518,923,116,056,553,046,464,832,174,654,533,436,158,103,735,577,957,520,089,
580,593,469,251,234,892,541,497,995,824,378,015,590,989,048,949,769,312,062,
260,526,019,613,446,699,293,898,543,798,986,336,601,165,669,088,765,106,086,
092,894,823,782,166,454,376,139,004,879,090,882,490,874,870,154,029,857,518,
697,255,259,042,870,105,056,051,175,768,784,614,886,215,049,542,332,790,728,
135,999,596,830,052,355,473,514,844,202,590,538,277,166,736,153,219,550,801,
835,774,478,003,040,751,796,402,247,329,694,501,387,741,185,651,364,497,625,
703,878,457,786,712,511,496,325,584,898,516,632,273,974,657,966,934,821,379,
314,076,914,374,837,021,479,484,811,612,312,675,174,645,006,709,437,204,720,
691,978,430,547,120,096,983,441,458,275,066,583,939,819,294,053,906,004,427,
707,614,084,548,337,839,555,754,034,300,495,257,710,369,372,239,215,173,591,
570,182,849,170,468,798,414,697,374,518,800,183,703,595,524,272,270,044,263,
670,875,596,160,430,212,487,159,664,709,561,396,602,917,157,531,766,845,511,
681,727,496,869,068,345,303,142,081,329,061,170,368,138,147,176,979,631,961,
436,439,271,322,477,958,495,826,014,113,731,715,141,677,748,245,908,560,966,
374,026,124,418,157,216,385,391,089,297,935,932,698,831,305,658,624,790,383,
412,877,772,463,047,636,330,875,423,116,015,342,133,515,035,325,924,791,807,
949,980,966,746,352,119,141,082,956,214,433,387,447,854,979,082,516,522,439,
765,237,475,097,069,560,603,013,225,983,694,011,909,959,531,810,525,543,569,
684,051,075,569,281,279,590,660,100,872,885,459,854,744,529,741,844,237,271,
241,623,298,571,085,302,877,324,437,312,117,002,357,111,430,861,046,826,536,
546,072,285,454,101,267,816,805,002,764,063,043,576,193,875,722,913,876,461,
874,042,182,986,940,895,686,192,710,777,528,833,912,505,475,455,915,828,877,
159,089,065,949,464,355,547,267,062,614,123,630,602,636,736,478,404,899,191,
397,768,418,564,310,345,057,429,175,788,807,588,329,026,754,525,923,029,925,
493,019,210,781,740,294,940,863,130,002,691,445,121,563,352,978,754,730,441,
704,395,143,406,280,867,781,427,111,343,553,767,352,629,875,860,946,448,229,
266,450,445,775,073,090,630,066,742,551,638,540,428,905,252,756,909,463,264,
922,109,522,222,608,269,509,392,267,016,330,431,781,209,318,233,116,054,243,
261,289,350,330,789,786,967,716,453,871,908,468,130,180,878,211,756,124,542,
130,270,451,171,159,887,736,194,330,205,767,130,751,132,084,724,700,758,298,
415,992,840,291,332,417,621,566,762,503,582,058,194,370,035,279,023,414,913,
061,208,585,448,217,132,601,177,319,901,650,111,743,490,220,732,053,677,012,
582,825,484,009,037,173,268,146,608,028,177,988,199,847,896,819,501,128,323,
597,003,953,498,227,176,618,887,806,637,816,062,209,976,589,804,402,547,927,
789,532,595,254,944,388,012,409,284,361,510,388,798,528,173,211,902,108,635,
127,110,759,454,939,035,620,970,035,703,557,952,680,371,919,243,288,126,675,
586,673,347,324,926,947,898,480,089,424,655,268,525,128,895,928,592,597,637,
176,534,249,099,618,578,072,917,058,349,262,224,467,115,615,194,467,247,574,
008,195,445,908,296,301,590,094,059,072,354,441,016,413,838,513,019,662,338,
333,219,596,877,541,320,394,520,415,767,700,993,242,963,745,272,375,833,454,
389,081,811,552,942,844,311,775,273,712,696,860,410,414,649,501,585,539,945,
592,037,118,618,110,161,071,604,080,561,792,092,194,895,201,447,093,002,141,
831,143,222,937,650,733,797,686,454,451,707,779,827,555,367,954,622,917,421,
129,385,354,551,756,028,259,765,079,183,020,462,486,806,031,380,574,494,596,
757,698,188,729,865,306,644,178,711,174,730,372,851,784,889,069,640,561,385,
991,704,454,139,971,740,826,316,032,843,242,122,814,735,636,339,014,007,243,
522,409,928,842,980,672,851,379,043,103,294,237,487,728,211,718,205,760,955,
246,122,659,104,060,312,653,111,447,212,297,567,833,522,722,349,325,028,372,
306,708,753,901,424,835,626,099,383,496,668,016,671,615,941,561,342,609,991,
612,584,523,232,276,798,372,476,544,617,952,353,111,562,351,825,335,057,328,
805,828,204,215,218,829,769,714,269,635,130,326,707,378,490,324,707,444,522,
930,871,262,166,138,541,859,118,082,469,701,451,542,903,119,193,004,725,241,
515,469,516,304,259,474,934,258,831,289,092,373,863,964,343,302,561,822,505,
423,159,990,561,363,714,398,543,665,209,145,653,998,778,638,229,784,427,541,
106,241,986,324,102,623,503,378,556,289,447,981,972,845,922,436,975,579,560,
886,042,078,084,829,524,302,366,463,518,753,202,549,930,996,999,757,892,586,
143,139,743,539,738,777,819,397,515,744,769,052,440,756,551,198,224,445,726,
191,352,981,724,026,197,056,396,695,543,302,193,386,934,786,992,335,016,758,
592,725,142,568,149,173,669,430,624,090,694,303,194,813,476,478,498,311,231,
048,267,658,893,688,548,875,254,636,707,538,779,293,094,174,316,245,105,687,
181,490,049,839,954,087,952,705,537,552,671,075,394,589,323,608,639,964,404,
832,370,012,840,524,064,659,863,748,148,026,203,967,494,332,269,833,264,995,
780,404,181,517,315,305,593,107,839,360,031,785,928,857,633,871,039,702,092,
841,162,807,880,124,347,969,659,987,294,862,803,339,654,546,226,670,663,904,
132,461,880,203,045,065,788,423,897,720,400,222,989,108,143,715,518,962,562,
850,664,611,501,300,689,729,717,397,784,025,860,798,599,240,053,382,234,237,
073,854,348,620,996,780,806,936,925,489,270,523,252,803,270,770,297,199,441,
492,675,246,556,235,134,777,269,085,468,463,813,269,197,470,661,576,570,047,
927,062,882,984,570,107,722,374,272,027,683,537,224,373,914,848,740,186,661,
724,046,468,677,963,279,414,134,305,092,395,218,423,382,203,379,669,100,390,
162,837,623,608,029,610,830,621,655,290,413,344,340,390,465,282,584,281,595,
747,885,122,987,909,390,118,011,758,165,493,494,423,121,589,696,570,684,651,
873,290,948,736,797,487,698,279,888,297,991,528,847,470,976,880,143,191,378,
691,846,536,113,319,940,415,642,881,463,969,771,870,941,518,884,548,383,906,
278,895,175,118,450,009,681,408,531,601,023,090,294,651,080,913,335,841,464,
153,904,680,628,133,686,106,295,049,273,706,935,728,176,621,591,256,768,709,
307,051,344,967,154,702,329,389,364,878,477,394,588,909,009,553,635,281,446,
204,383,742,933,583,750,459,084,781,349,338,668,818,508,756,089,580,064,723,
562,208,230,844,378,709,760,037,356,591,046,427,986,319,036,044,998,330,156,
674,802,137,777,081,125,623,412,861,223,879,981,320,873,611,276,515,782,044,
351,323,334,410,569,181,136,799,493,638,212,553,643,425,941,998,671,668,090,
360,908,327,119,755,746,949,410,074,666,994,500,151,640,728,494,732,391,622,
509,075,250,418,694,941,695,585,896,171,994,979,778,528,438,591,986,836,849,
176,957,633,999,560,806,793,588,771,439,310,271,966,853,424,958,195,338,003,
885,658,637,445,944,262,469,052,699,937,400,582,217,635,953,902,812,117,662,
703,141,816,760,387,350,982,852,329,520,538,555,904,645,580,475,751,111,811,
709,155,346,482,833,586,989,028,354,599,158,273,127,158,439,681,107,144,378,
938,740,696,069,742,729,925,654,458,681,897,050,618,367,722,570,576,415,685,
151,314,504,816,974,878,976,901,892,472,843,583,592,912,763,045,877,655,647,
968,482,206,063,911,290,157,308,894,162,310,995,038,145,703,998,784,868,894,
091,681,810,258,479,012,450,086,455,239,491,964,588,152,990,136,444,798,710,
127,407,639,050,208,102,082,761,037,441,812,944,787,890,318,670,331,209,928,
023,467,577,889,761,902,908,167,870,997,755,944,890,426,000,934,462,549,892,
599,575,406,168,968,401,830,719,593,764,611,916,924,565,788,440,580,419,695,
749,290,394,831,961,431,687,209,140,864,606,306,312,189,419,271,863,224,899,
781,124,798,541,852,511,651,273,241,974,301,749,589,845,796,550,052,804,184,
001,105,360,098,365,443,262,881,839,089,206,956,057,788,690,073,720,773,688,
998,568,056,312,672,651,096,405,096,452,589,775,567,114,181,928,473,110,501,
823,284,188,532,752,351,244,220,768,011,781,783,270,309,030,518,246,889,761,
286,886,311,997,886,739,566,158,157,176,671,006,041,437,681,831,484,500,418,
928,844,778,134,204,643,073,942,379,322,089,889,915,000,541,321,169,411,103,
700,923,050,774,424,735,796,079,111,356,021,570,281,075,464,333,515,045,730,
123,409,002,466,126,035,898,212,240,307,962,528,247,625,930,489,299,304,157,
630,034,770,235,349,598,982,143,961,955,661,357,779,735,841,200,614,262,068,
303,197,707,842,838,284,082,082,154,897,494,227,189,508,135,270,579,434,484,
597,361,068,038,038,335,886,489,983,776,794,948,217,999,238,494,480,942,436,
167,567,061,209,172,465,989,230,668,636,546,806,610,939,954,438,027,143,552,
717,523,754,250,779,350,620,810,811,825,128,533,174,979,251,209,520,854,825,
926,063,847,130,470,692,622,412,733,232,270,419,506,715,549,626,694,016,723,
300,336,354,563,872,194,111,184,998,987,372,476,900,618,742,452,981,954,306,
555,152,275,560,532,876,114,852,346,262,938,481,745,485,413,493,560,020,015,
326,275,278,992,978,340,428,868,340,781,538,125,308,224,512,275,553,554,055,
503,578,768,848,769,757,472,725,557,885,619,394,189,970,204,824,847,360,209,
623,878,328,237,983,544,185,597,483,328,692,474,899,193,825,845,677,098,748,
569,636,199,027,952,977,649,140,766,723,444,775,614,579,920,096,490,919,183,
076,740,104,473,124,978,230,395,064,964,580,223,028,497,376,651,789,739,503,
985,527,247,376,057,896,642,823,237,122,114,502,664,005,300,739,324,002,868,
061,446,207,564,964,755,217,776,859,211,569,231,436,543,008,965,484,639,050,
615,631,054,611,861,210,278,864,562,085,406,738,051,825,321,456,695,085,645,
036,841,865,876,491,337,044,572,083,575,980,916,252,260,640,267,923,591,894,
149,393,925,541,455,691,406,512,196,789,856,936,152,530,170,824,849,247,642,
828,496,480,379,180,357,100,577,026,326,526,516,537,621,964,154,064,961,376,
104,083,581,583,859,809,993,962,695,268,155,582,451,405,363,485,875,533,135,
368,256,503,980,848,074,385,115,992,916,286,653,408,791,586,464,796,015,360,
845,034,229,757,549,984,378,360,030,538,480,347,339,420,863,559,109,506,678,
085,299,911,020,696,683,020,168,797,638,445,436,406,704,116,196,531,630,492,
550,323,542,083,112,095,709,575,633,783,999,625,623,773,743,988,087,939,342,
492,636,710,619,025,260,594,570,580,893,915,433,775,635,166,213,161,161,687,
897,452,081,334,475,813,144,223,625,295,558,332,407,913,473,332,911,827,527,
678,305,041,035,990,353,047,341,223,790,603,134,142,001,902,709,788,599,275,
992,802,364,748,252,860,880,266,994,913,476,716,917,282,352,427,357,037,924,
207,463,993,810,673,344,183,509,514,646,984,595,874,200,391,152,803,897,201,
605,667,539,372,151,683,386,290,961,136,104,569,816,999,094,610,166,905,647,
050,954,967,939,936,757,348,962,639,783,908,309,699,877,415,198,771,296,675,
985,143,313,664,672,805,018,603,024,672,701,556,640,818,697,426,039,133,081,
465,336,175,403,125,658,381,270,729,432,428,067,692,520,383,933,611,355,349,
210,550,047,322,574,405,781,986,035,480,440,819,332,185,976,336,284,170,178,
383,861,027,364,550,617,534,913,112,491,435,325,391,468,065,472,988,052,504,
187,907,228,051,433,803,490,529,129,813,278,064,211,684,353,532,632,779,404,
662,213,882,151,729,367,002,842,744,559,912,290,030,152,564,016,336,964,853,
759,873,276,026,474,209,885,217,415,801,570,055,835,415,532,123,369,906,775,
557,952,971,672,787,867,810,950,844,008,973,788,157,026,701,026,354,880,785,
920,655,078,796,466,233,076,761,928,448,645,032,776,286,155,877,230,555,340,
554,334,852,640,367,917,078,010,984,683,723,044,544,623,573,021,125,804,406,
121,551,276,805,209,452,778,799,390,143,387,534,317,125,161,739,556,666,131,
398,509,696,614,276,587,480,135,907,564,973,557,384,913,934,333,607,848,577,
779,676,408,475,671,414,435,331,189,160,879,177,989,051,643,079,150,550,903,
090,509,108,709,585,913,298,845,195,964,733,588,691,566,196,566,320,493,259,
659,639,891,958,668,829,481,473,856,787,298,495,217,908,179,955,694,553,317,
148,255,319,275,078,079,831,045,929,801,544,044,005,524,719,556,619,151,564,
125,190,394,640,697,149,548,122,669,462,551,372,823,037,527,682,584,775,606,
652,556,727,431,138,475,226,297,942,447,786,219,484,301,187,156,481,713,826,
250,694,375,888,793,511,482,994,775,276,097,427,348,176,404,694,217,193,569,
757,219,935,889,513,276,470,352,768,345,902,129,652,894,783,711,065,036,986,
832,560,248,484,190,284,790,988,908,840,412,517,637,464,506,295,812,490,747,
680,878,452,953,124,074,327,325,315,606,248,119,515,620,274,551,310,592,993,
331,073,650,671,729,427,696,662,156,504,258,392,383,927,512,647,599,954,343,
250,654,392,244,238,473,988,957,191,925,216,248,837,384,605,184,505,215,287,
019,950,003,808,987,031,895,214,085,743,942,024,878,635,981,710,199,936,069,
571,424,096,139,363,684,134,081,418,874,341,393,482,486,013,078,319,607,162,
323,295,439,786,138,574,790,316,055,073,235,650,866,014,691,510,049,613,219,
647,734,210,843,935,336,128,448,683,321,913,401,067,566,191,062,967,115,929,
025,181,016,565,338,151,720,181,363,761,706,619,117,332,033,168,973,893,126,
414,184,718,141,223,953,802,140,964,544,338,336,994,750,825,413,851,968,386,
452,392,707,623,347,484,111,235,724,936,024,465,744,569,426,752,718,926,699,
064,156,559,344,731,353,064,841,045,063,590,174,279,672,463,291,142,889,753,
336,716,029,775,696,811,610,637,503,062,828,812,361,549,445,807,442,979,681,
626,364,426,362,569,001,842,936,605,387,968,920,731,758,642,214,906,814,171,
435,726,083,441,588,776,286,390,549,119,940,394,282,474,150,750,617,096,806,
471,002,750,507,485,370,433,825,924,220,228,227,305,035,828,243,925,708,747,
031,916,908,722,457,226,306,393,467,153,510,246,614,919,753,146,955,933,012,
642,884,117,195,321,583,622,038,033,952,227,766,567,621,259,918,740,003,815,
255,855,485,567,491,766,805,097,565,278,899,091,998,377,228,787,310,656,807,
704,543,048,897,188,794,904,724,814,612,559,777,748,250,726,864,658,635,001,
905,795,965,087,726,315,624,779,492,525,650,304,964,492,281,824,024,466,405,
503,317,348,735,520,912,954,402,873,387,024,694,436,887,350,128,852,159,892,
690,042,750,596,041,906,141,972,832,952,859,948,872,825,003,234,232,168,764,
008,917,334,871,651,629,398,577,855,898,941,969,053,732,653,679,081,895,853,
702,453,172,462,671,905,647,173,587,654,791,711,014,748,487,040,974,304,169,
489,717,422,639,956,464,427,435,401,446,165,514,670,576,701,381,788,349,182,
592,361,789,077,540,878,580,893,006,659,290,494,273,555,290,772,168,374,085,
566,460,359,633,009,420,212,733,910,994,658,497,402,855,387,995,343,290,218,
466,263,967,244,425,652,911,533,577,817,020,067,211,804,149,104,992,090,277,
167,456,014,777,370,823,820,201,787,289,015,086,975,062,378,463,785,053,590,
644,280,602,405,213,124,213,068,522,774,588,787,361,203,187,789,122,833,384,
176,206,389,763,609,327,802,980,419,790,617,008,378,866,874,075,051,238,165,
229,680,004,966,026,940,815,315,992,955,046,408,678,984,660,957,888,551,061,
029,759,711,233,929,001,291,392,185,699,411,235,399,186,472,773,278,723,076,
698,253,369,239,651,196,243,918,066,173,658,860,620,285,408,555,543,420,329,
172,475,063,602,499,813,005,956,116,190,050,245,703,383,811,278,286,204,279,
012,660,997,717,405,569,638,516,064,128,224,568,517,230,243,043,145,374,154,
601,509,374,863,171,645,935,886,485,528,046,717,025,961,203,748,955,616,152,
589,243,823,985,956,188,941,198,452,235,970,999,697,135,265,657,383,870,696,
790,499,690,501,346,583,491,299,553,965,114,765,706,764,129,718,521,461,953,
673,812,401,969,541,116,330,596,541,766,461,323,123,026,151,891,150,700,591,
599,778,477,244,784,082,196,789,995,703,831,507,557,412,789,890,632,590,543,
685,586,018,493,902,995,242,497,452,370,332,124,640,679,388,319,813,265,909,
643,060,639,141,682,380,419,166,511,700,658,527,585,089,717,109,048,839,357,
460,834,883,650,216,339,972,068,091,882,801,820,357,150,183,981,427,905,496,
016,975,773,988,796,641,805,691,748,834,413,039,311,255,284,769,973,682,417,
652,227,300,855,447,818,766,606,129,371,760,618,655,216,121,342,669,011,739,
030,795,466,993,192,084,702,727,798,786,724,213,496,374,058,182,975,587,692,
454,156,449,982,240,013,371,966,509,086,896,102,948,983,584,284,554,041,041,
792,850,422,486,369,312,017,736,526,978,529,936,946,740,951,905,847,801,609,
427,094,701,694,399,914,792,857,968,555,976,663,430,158,251,356,210,825,443,
090,276,032,644,798,216,608,763,422,789,130,062,320,865,083,724,168,329,691,
679,536,422,460,635,098,258,236,504,590,372,558,063,812,480,229,007,831,755,
016,290,164,779,436,910,320,087,944,835,387,530,289,117,919,403,786,684,632,
104,838,931,268,599,863,616,829,053,640,993,337,176,517,321,045,316,976,186,
956,952,769,460,664,765,797,410,289,690,864,725,707,931,576,996,619,584,022,
641,723,178,390,834,877,598,281,144,291,060,090,323,685,331,392,975,699,289,
220,652,706,364,563,768,821,770,876,587,574,489,573,528,032,871,864,646,845,
945,935,110,773,764,747,443,172,633,930,753,669,373,526,632,220,206,403,870,
562,605,700,118,748,528,747,939,314,439,529,489,836,657,019,522,152,666,938,
382,258,907,700,202,998,680,101,010,968,963,942,763,039,962,086,967,678,332,
959,091,330,792,970,327,890,240,946,091,868,531,633,343,794,983,691,172,807,
152,178,349,569,311,830,774,238,735,530,768,656,081,283,113,067,323,699,311,
308,006,992,818,714,647,579,037,166,952,319,466,559,713,008,169,568,137,965,
431,957,446,035,088,076,201,588,149,007,990,123,666,917,165,153,182,457,776,
870,790,587,945,626,542,958,111,945,022,970,697,805,186,993,522,143,901,884,
105,827,340,705,307,428,838,344,574,748,943,669,003,515,563,969,097,719,292,
202,305,535,138,764,900,724,341,945,666,117,885,828,064,590,861,397,000,619,
890,953,673,219,763,899,378,903,775,602,359,090,194,094,036,445,976,971,301,
562,803,579,134,366,701,219,570,403,256,989,411,573,591,080,298,133,803,397,
847,758,495,887,674,593,783,749,269,382,630,836,668,858,277,152,700,495,543,
949,204,335,940,624,050,491,501,343,601,609,191,619,313,701,218,566,839,394,
457,847,079,859,606,273,919,438,207,111,666,287,104,016,178,018,858,323,585,
125,734,736,810,649,496,454,154,951,193,264,023,161,127,578,744,842,531,352,
029,649,036,299,608,040,192,920,259,997,928,430,887,454,214,757,093,026,308,
417,709,153,875,739,556,171,767,063,037,166,551,580,652,723,081,491,238,344,
784,154,740,409,695,722,195,719,000,375,938,348,473,931,295,980,167,803,605,
636,526,884,650,373,228,139,442,815,847,145,882,521,439,457,553,283,079,087,
381,303,896,893,297,234,185,354,624,860,433,359,285,935,442,808,322,249,612,
107,423,490,284,791,064,067,939,679,695,067,131,248,535,572,855,089,463,351,
895,282,974,213,545,107,499,134,101,987,666,118,673,298,206,364,389,632,891,
803,350,132,040,801,944,746,062,146,266,973,062,298,467,516,519,123,394,674,
456,134,241,545,905,520,695,281,872,022,396,165,126,727,585,661,619,507,675,
044,579,664,530,082,834,662,373,334,217,125,845,366,398,394,693,080,894,769,
818,432,902,633,778,064,531,702,496,176,478,538,292,145,198,586,494,772,351,
998,455,297,254,676,505,843,576,062,391,883,753,284,328,667,243,629,548,636,
952,696,612,485,742,016,893,779,865,558,151,784,746,185,550,364,551,203,534,
808,982,650,246,765,142,143,445,392,575,491,649,896,032,221,514,581,458,148,
233,314,302,676,488,451,544,528,774,079,788,529,972,704,537,839,766,596,868,
723,305,652,068,492,850,162,448,944,987,392,454,032,958,826,018,598,325,592,
538,240,253,851,477,454,251,024,353,060,703,222,211,104,582,395,797,592,398,
319,516,205,714,576,093,976,863,655,011,017,541,836,018,457,875,385,929,695,
868,404,353,079,308,891,122,040,811,479,698,628,105,809,505,110,362,807,580,
919,251,668,209,984,917,120,930,022,394,353,006,907,198,101,337,214,654,268,
342,177,486,990,080,506,896,692,908,106,809,760,494,769,540,388,465,357,567,
679,266,201,328,883,055,238,987,400,147,989,438,859,705,886,481,211,767,589,
692,861,772,009,662,221,942,284,335,152,514,480,512,669,604,225,671,090,712,
393,072,473,171,775,632,360,669,835,515,446,688,593,321,752,935,822,508,466,
489,090,804,183,360,098,301,730,875,797,460,066,165,352,598,987,504,004,347,
102,118,141,882,551,380,068,647,228,302,121,670,414,662,044,180,662,164,261,
109,310,398,655,103,109,627,703,992,677,286,683,147,882,588,537,589,225,360,
270,278,970,743,276,547,530,188,963,278,520,209,675,080,029,553,216,389,903,
029,778,582,161,442,085,524,336,327,126,148,370,410,757,936,498,612,081,005,
442,402,007,992,182,427,421,726,122,690,021,702,402,225,820,562,685,154,939,
836,708,193,215,034,105,811,908,551,846,260,588,309,766,397,545,181,262,122,
390,515,991,991,613,031,822,967,383,914,725,023,462,709,460,820,132,409,697,
811,922,939,304,101,252,086,057,700,200,346,457,546,234,107,537,562,032,636,
398,420,637,280,652,002,675,222,505,783,423,824,900,007,413,008,537,109,123,
567,807,952,027,379,513,077,625,617,498,582,651,065,065,727,471,072,400,515,
914,884,783,145,764,984,804,694,292,614,882,342,548,556,377,420,225,381,194,
178,900,285,404,203,213,013,991,036,923,127,671,396,613,502,573,606,871,947,
960,187,728,139,286,013,430,902,937,678,384,558,074,333,924,218,869,683,300,
859,867,334,888,494,714,777,981,881,695,695,581,283,282,475,446,464,264,655,
830,704,199,650,432,976,680,452,427,230,258,508,534,557,467,064,678,808,767,
999,261,000,717,381,855,744,633,104,218,521,392,201,559,682,532,103,906,292,
314,663,607,079,058,969,957,932,204,052,977,148,729,705,506,138,154,652,107,
961,287,352,166,879,346,041,989,182,357,896,978,118,978,567,807,197,089,597,
980,203,034,062,763,009,418,699,270,414,510,213,973,570,578,774,880,223,962,
667,132,653,566,604,451,668,008,501,118,464,195,693,891,313,222,014,795,762,
637,195,363,273,120,157,240,463,621,279,088,707,829,136,475,478,493,418,370,
096,124,593,397,945,966,982,180,582,976,344,492,243,599,793,854,996,068,965,
338,724,199,651,942,603,666,274,714,907,909,742,588,229,145,496,159,904,308,
349,925,663,801,468,133,465,769,307,061,381,090,448,526,268,448,570,838,281,
554,981,748,021,692,035,690,551,300,430,131,517,063,015,885,109,845,220,532,
531,387,140,507,011,292,102,587,065,177,028,862,929,365,266,266,340,904,020,
908,689,502,554,026,236,755,476,572,010,796,925,890,692,818,617,779,891,217,
842,003,242,534,152,556,658,618,916,285,257,159,067,159,894,796,694,202,557,
337,102,078,471,432,438,723,474,289,473,823,489,102,559,185,383,459,118,160,
304,728,042,696,431,325,940,681,751,695,040,444,628,006,987,162,061,415,931,
862,547,701,808,249,216,117,080,039,929,784,714,450,328,479,008,852,243,901,
245,711,511,343,059,717,754,788,582,105,065,649,017,745,446,851,536,030,042,
010,791,460,663,599,615,612,136,192,258,364,402,460,119,968,174,332,672,910,
648,971,355,136,973,515,438,341,500,652,174,178,767,566,433,844,805,998,430,
736,241,522,091,116,067,114,254,631,242,984,677,024,317,246,568,026,825,365,
146,908,296,468,772,641,946,651,341,240,488,591,681,948,864,872,469,519,163,
440,365,699,523,151,694,878,937,377,439,418,589,128,905,457,990,067,159,767,
863,823,371,634,423,256,323,560,177,695,216,555,408,231,434,033,003,567,479,
189,298,036,061,182,738,793,325,540,714,413,007,995,482,125,367,159,962,254,
518,980,251,680,215,388,090,453,407,077,533,550,262,593,835,187,630,439,220,
135,699,448,914,976,262,642,924,599,627,609,407,427,311,561,458,506,391,108,
552,401,349,670,063,770,301,783,118,910,455,595,454,441,741,000,014,656,021,
508,304,751,724,430,881,732,499,280,235,319,473,881,463,803,616,083,621,446,
711,251,838,575,751,963,942,959,037,968,087,048,188,192,242,273,167,344,047,
790,611,126,693,341,674,097,515,761,415,069,473,711,791,456,710,558,439,952,
405,995,721,248,269,213,965,564,972,385,305,996,989,876,379,066,653,951,695,
786,940,386,303,429,978,198,889,925,517,027,367,442,019,029,189,142,194,779,
838,709,872,687,743,847,988,456,645,470,125,701,986,531,515,964,921,268,342,
516,222,653,554,554,618,226,786,516,935,417,742,862,013,127,347,990,650,371,
789,931,073,118,348,258,919,728,149,221,102,292,981,787,966,792,017,466,612,
984,771,657,898,612,559,912,802,051,579,139,756,668,621,978,478,624,919,075,
169,860,324,294,278,704,873,357,159,559,969,725,901,154,690,269,653,356,091,
969,362,794,227,609,014,630,979,895,478,271,779,660,783,250,801,174,617,318,
749,668,703,938,146,184,735,215,952,213,798,004,231,199,208,179,415,190,684,
153,661,119,803,680,292,473,974,219,389,675,497,852,640,060,547,416,684,898,
719,722,888,834,139,237,300,954,467,836,442,244,508,888,634,254,286,609,233,
372,140,251,807,961,470,851,883,628,622,931,953,606,939,482,724,243,621,791,
612,533,240,583,415,924,442,706,117,807,406,209,817,676,250,116,131,112,633,
094,688,341,079,788,768,891,713,774,102,110,898,892,242,862,056,778,776,559,
154,055,001,729,341,706,982,433,230,641,079,063,621,744,280,096,146,037,469,
361,580,939,645,365,253,554,931,711,989,588,398,024,626,922,885,109,716,641,
986,929,737,392,779,707,566,201,776,235,255,956,845,019,229,688,779,780,515,
923,230,896,811,121,070,873,122,710,486,626,772,873,792,414,074,485,930,751,
715,578,778,094,361,252,280,261,430,536,390,385,234,126,662,080,210,010,858,
270,709,717,528,231,001,190,449,387,043,386,088,850,272,517,174,853,168,225,
423,577,604,512,200,350,574,921,712,648,290,222,617,056,557,384,551,232,208,
901,539,422,851,776,138,385,860,630,680,507,111,869,799,277,517,597,794,769,
228,505,091,170,212,181,400,329,882,072,672,229,280,628,422,436,583,561,518,
198,846,964,882,410,043,994,864,164,067,091,413,474,994,617,367,990,645,768,
812,704,618,982,891,321,664,666,430,809,970,718,647,666,346,606,113,858,765,
920,432,826,351,828,285,669,670,663,417,144,705,794,348,359,331,054,319,467,
417,901,745,951,477,485,522,249,752,105,891,296,075,628,346,823,492,343,760,
515,258,861,747,471,687,590,189,277,263,665,884,950,766,537,356,469,075,077,
169,037,248,381,795,801,881,278,523,544,685,704,404,520,698,358,971,217,908,
253,639,557,354,400,334,961,853,202,459,063,040,995,893,018,321,747,359,322,
603,505,723,303,815,693,783,270,915,416,755,936,337,214,843,305,551,268,734,
853,017,427,172,541,136,031,401,671,344,892,513,194,173,380,403,620,298,176,
562,994,304,249,027,159,255,120,156,800,993,267,230,054,975,998,951,281,120,
969,511,866,553,879,770,584,144,781,563,101,755,641,444,326,845,633,350,333,
222,261,663,260,574,135,576,306,659,161,885,370,922,967,419,811,060,563,186,
842,836,561,182,503,180,694,621,687,543,198,716,325,886,821,278,695,313,242,
426,610,987,451,918,757,437,566,138,335,106,520,011,022,743,641,421,877,264,
809,248,403,231,230,930,197,511,094,246,160,275,539,781,170,691,374,691,588,
788,579,777,940,375,789,363,850,277,450,168,765,679,702,728,818,453,757,627,
030,591,761,769,407,705,928,431,193,347,786,106,070,249,550,170,490,999,908,
322,598,815,269,170,973,266,225,776,451,594,705,120,739,493,292,709,391,353,
914,971,113,434,140,686,793,783,497,496,450,041,911,817,320,624,011,717,148,
400,311,137,507,175,053,548,756,285,762,596,842,497,290,987,303,634,079,085,
899,172,622,127,146,620,873,172,403,726,474,315,165,189,904,506,440,056,244,
190,004,289,343,531,158,103,887,949,631,764,915,952,732,816,889,213,415,660,
516,102,316,682,625,258,479,193,589,129,083,889,819,969,841,399,377,742,450,
475,696,605,290,715,188,814,387,131,716,731,561,754,676,619,491,705,278,984,
842,812,329,360,362,583,789,825,018,641,949,919,581,590,670,529,601,177,830,
908,437,128,293,666,594,937,405,977,873,335,466,444,890,657,441,478,181,348,
054,193,221,991,123,405,581,894,581,727,039,496,448,751,917,726,191,687,862,
140,464,954,392,990,361,621,152,891,688,262,228,555,700,010,192,056,640,841,
251,613,973,289,775,423,653,136,305,817,734,232,500,855,744,958,776,533,708,
804,704,969,584,652,725,914,909,966,181,540,817,199,733,123,597,954,259,667,
774,112,434,643,511,749,627,299,307,284,438,538,626,979,563,241,451,499,364,
883,764,785,793,735,401,738,210,187,676,326,326,107,771,856,594,206,363,327,
457,963,617,828,305,831,620,745,852,749,155,285,875,151,410,116,978,419,081,
949,758,426,184,108,727,740,259,282,174,277,295,650,887,754,382,057,501,602,
976,219,529,196,833,008,907,535,858,086,578,837,017,843,280,953,176,713,917,
267,374,035,345,476,278,885,689,880,336,207,519,501,662,289,249,142,834,141,
349,106,006,067,966,139,471,339,880,054,689,708,931,928,555,426,239,094,967,
952,666,146,039,422,573,054,496,499,726,619,096,161,018,314,202,725,502,755,
563,753,068,200,676,872,345,549,630,666,111,981,037,902,566,435,023,626,273,
412,787,809,615,862,562,524,228,060,005,532,749,777,791,458,350,027,140,025,
587,215,711,062,037,560,975,495,499,670,437,161,238,570,044,619,123,867,898,
610,720,617,216,697,562,967,844,820,324,182,480,610,094,489,704,963,284,148,
567,529,771,971,298,242,255,995,331,162,230,294,137,095,327,549,973,601,861,
595,487,030,922,229,393,770,855,023,455,335,577,181,262,500,805,271,330,103,
556,974,745,030,714,183,724,480,069,600,661,212,358,279,430,228,033,925,600,
704,789,407,205,178,446,767,429,746,052,693,485,651,384,777,369,536,026,011,
222,816,524,178,723,294,009,979,328,622,087,821,631,936,747,410,347,818,425,
499,359,295,739,675,908,816,630,226,026,667,998,404,086,919,006,553,167,480,
247,332,914,077,596,295,928,560,466,121,765,462,569,762,379,676,729,756,114,
525,466,705,285,234,015,524,355,602,260,423,691,559,925,279,854,616,898,439,
128,431,017,762,982,218,297,519,646,148,660,354,724,717,206,527,643,388,159,
353,290,397,424,214,129,322,154,856,707,110,503,081,981,061,985,580,851,090,
469,806,823,821,042,541,937,304,540,407,818,106,854,058,182,629,293,660,079,
422,528,599,682,896,136,726,889,200,902,216,001,507,291,333,719,685,681,921,
616,236,736,140,765,195,769,591,725,256,592,992,066,411,006,383,153,860,952,
910,067,168,962,113,984,620,937,115,659,332,704,657,713,627,886,344,533,093,
399,445,928,844,132,490,271,600,263,159,655,200,730,061,035,692,908,254,972,
825,318,861,154,311,413,533,561,154,662,338,129,987,589,268,988,259,187,787,
728,690,439,697,159,776,102,619,280,011,320,355,392,603,672,903,386,591,854,
240,135,610,224,957,062,270,467,762,492,913,156,550,503,318,981,242,634,669,
929,739,798,517,380,495,936,958,240,166,195,795,817,280,947,458,839,166,111,
943,554,143,919,591,696,788,059,367,630,794,936,808,892,903,772,727,244,625,
694,252,475,991,924,786,836,579,846,721,685,162,592,252,991,964,234,454,685,
198,859,345,448,236,013,466,902,691,832,207,446,275,640,414,794,367,838,281,
795,606,711,638,099,278,857,517,585,993,526,598,221,844,745,958,931,116,561,
647,025,256,895,327,491,033,870,083,858,594,843,059,443,818,354,731,025,562,
439,824,768,234,220,296,105,400,528,256,042,576,480,359,918,290,274,733,319,
711,062,642,695,249,026,726,016,035,641,764,451,085,561,129,807,055,568,741,
203,735,305,728,873,025,413,868,611,100,254,838,611,901,661,723,542,559,709,
267,663,924,978,311,540,162,893,128,540,790,688,181,832,353,544,555,576,690,
306,989,563,423,624,102,891,364,451,944,445,164,549,259,877,575,535,453,783,
829,210,952,117,144,091,794,939,342,249,946,073,202,944,252,924,547,598,353,
297,217,283,831,375,933,835,637,544,069,800,225,248,061,671,391,518,040,268,
150,714,618,110,947,793,806,944,459,281,648,292,698,947,815,286,941,480,253,
294,544,592,367,006,448,079,787,786,308,902,618,275,936,448,061,819,333,469,
383,846,064,080,570,599,281,013,695,734,005,743,464,136,632,033,193,552,789,
772,673,321,141,454,314,393,004,881,305,426,899,000,264,792,008,964,384,635,
011,429,519,063,616,564,754,416,177,094,258,119,696,540,331,680,652,453,619,
761,588,353,406,693,937,357,174,165,210,744,444,921,727,052,392,514,965,190,
662,996,283,595,551,998,547,661,024,338,923,101,086,802,701,393,742,041,105,
176,063,531,420,520,974,219,160,178,305,651,521,588,342,582,819,184,578,623,
114,328,581,249,028,576,181,953,425,234,829,063,161,151,760,342,381,667,917,
763,486,506,082,550,579,270,884,991,395,049,294,392,699,606,190,081,224,296,
203,014,763,548,729,954,541,183,315,051,844,825,430,905,942,792,971,843,755,
984,686,883,378,496,665,298,422,016,765,347,653,189,928,202,608,328,814,400,
572,394,476,347,865,688,739,744,110,017,641,648,948,453,127,242,438,839,477,
049,888,413,481,899,364,843,486,151,782,549,649,058,251,635,611,252,394,845,
819,859,493,079,546,885,555,635,077,527,461,603,605,992,613,505,505,754,013,
745,066,727,233,740,604,088,121,432,779,827,095,896,040,319,143,205,380,436,
100,644,454,379,565,599,317,967,830,632,879,128,991,767,502,365,642,141,267,
549,980,531,451,190,552,669,756,761,896,102,140,451,393,610,361,458,839,428,
872,757,491,997,397,707,965,390,510,224,730,692,324,749,526,304,005,557,887,
550,535,763,099,186,114,503,614,660,915,266,095,169,116,678,862,567,268,280,
055,962,724,430,688,148,520,669,759,025,685,226,559,115,152,581,765,531,082,
440,063,858,482,228,357,054,756,813,221,891,889,018,225,679,970,750,588,874,
645,865,169,542,496,380,892,976,975,216,861,474,444,621,453,175,265,743,373,
735,700,974,534,409,789,817,397,208,727,949,813,571,804,089,368,215,497,015,
632,487,064,372,605,696,820,655,394,424,129,027,680,359,813,584,155,134,746,
867,961,940,710,672,109,505,379,170,529,349,621,099,092,028,030,072,721,953,
552,788,870,131,276,651,419,718,645,409,729,968,065,916,802,161,016,404,555,
315,097,817,897,711,554,629,583,422,513,855,839,483,760,741,513,744,867,731,
169,557,905,473,899,876,363,405,721,214,600,080,522,265,220,466,498,590,937,
326,787,898,168,609,665,957,906,627,417,877,833,205,565,735,034,322,974,576,
551,435,155,433,296,103,035,226,918,368,842,722,335,582,705,070,635,659,586,
196,263,017,240,407,839,830,522,369,545,382,515,678,748,946,550,965,239,392,
446,803,812,630,091,997,283,771,572,614,280,161,618,947,264,474,545,104,041,
519,371,670,921,055,013,496,875,261,528,518,087,881,523,890,743,405,328,591,
373,625,306,695,739,546,166,501,122,265,463,058,179,682,951,463,944,703,598,
584,736,372,986,453,848,223,515,779,412,134,324,337,290,318,885,621,893,304,
512,399,078,101,921,018,440,184,368,257,211,804,638,045,248,579,393,486,424,
832,269,603,195,676,739,132,764,672,982,567,761,757,620,115,798,454,768,633,
270,023,469,804,689,337,754,563,056,116,160,921,312,633,300,909,458,002,369,
318,924,436,223,659,688,693,680,424,763,025,562,245,667,987,849,860,526,390,
314,378,206,901,809,443,025,051,833,743,023,510,058,294,694,533,397,797,047,
938,275,456,772,868,424,011,308,133,708,034,287,576,421,817,823,847,833,466,
229,629,718,254,837,088,281,265,388,921,263,120,611,787,119,279,987,442,241,
213,926,191,640,046,446,115,738,209,930,923,257,591,523,463,250,858,225,271,
489,469,002,943,368,207,624,966,678,778,935,900,387,810,445,127,969,302,292,
045,802,044,885,465,084,451,979,687,089,479,752,452,285,229,577,739,129,137,
370,963,273,103,978,269,068,843,383,882,719,430,778,291,848,736,145,739,710,
923,264,158,937,498,546,557,855,653,489,195,431,033,208,526,919,163,290,659,
324,305,276,481,813,358,092,260,269,229,388,879,535,778,044,670,078,520,292,
121,660,075,917,582,078,362,526,918,263,958,523,568,313,687,022,323,041,997,
484,766,498,976,304,452,926,802,297,623,287,544,812,182,311,867,695,165,162,
697,450,799,368,007,489,337,399,383,477,172,140,339,074,737,304,886,977,634,
825,475,755,277,295,114,529,314,070,876,233,369,763,716,034,969,285,244,850,
941,907,945,372,644,462,261,116,277,590,383,261,215,425,176,835,708,455,835,
976,304,015,292,225,020,498,244,341,398,706,523,558,538,812,169,321,793,751,
637,742,850,576,489,868,501,045,915,390,281,128,482,105,499,900,925,076,542,
078,684,091,569,534,255,090,642,982,060,415,999,059,254,501,926,905,718,606,
477,225,846,689,199,594,137,596,026,655,895,117,535,115,662,521,099,253,133,
875,063,603,518,931,997,553,518,830,902,753,569,275,874,969,509,847,327,645,
585,159,770,362,547,405,989,911,302,949,613,994,909,741,313,541,634,768,717,
301,260,989,524,759,462,434,737,652,391,398,501,968,664,620,156,702,680,075,
349,238,936,245,199,251,667,700,420,881,532,449,311,965,811,061,883,886,127,
150,052,681,446,915,308,651,407,559,879,498,539,142,559,540,874,722,987,055,
103,096,925,956,405,933,517,789,217,899,247,940,951,650,891,046,021,874,761,
126,704,989,770,979,147,290,472,367,807,678,053,761,336,820,506,270,983,772,
599,290,254,957,114,048,910,472,429,907,243,804,079,036,141,133,411,982,262,
156,900,660,451,747,281,408,153,422,111,075,241,059,194,387,366,945,381,853,
980,115,680,676,524,097,142,810,131,541,222,312,403,905,512,303,378,537,792,
302,620,495,427,630,185,421,590,185,178,094,571,260,329,974,189,309,983,357,
446,660,312,398,323,976,043,075,833,575,313,144,013,403,658,562,690,266,618,
774,231,795,115,198,341,139,870,263,677,296,377,268,411,381,032,277,329,239,
647,334,299,465,514,521,745,664,188,601,770,524,858,359,288,380,196,631,258,
073,601,799,852,565,553,968,050,254,076,601,758,380,406,894,581,676,526,554,
861,390,052,004,250,075,283,086,603,634,994,692,837,843,417,052,601,449,066,
870,646,018,453,082,485,194,282,529,620,838,469,884,391,035,946,030,427,656,
237,251,376,946,884,925,893,697,063,017,528,558,014,907,671,761,721,441,053,
433,650,568,072,465,725,394,866,800,209,237,381,816,478,101,511,543,149,597,
994,863,124,235,847,157,908,138,186,616,484,546,735,879,146,602,131,997,160,
467,132,839,633,459,187,108,441,906,958,058,455,389,476,027,498,361,684,611,
388,304,848,318,426,204,588,216,632,108,480,725,324,160,202,150,038,639,265,
003,356,082,187,327,603,773,293,903,287,243,447,868,022,119,297,493,483,844,
842,326,128,350,550,973,044,999,903,844,115,638,282,637,375,468,192,377,627,
281,758,828,076,759,518,291,970,487,104,125,016,230,187,670,979,171,386,029,
492,354,133,106,798,526,116,163,923,617,287,307,692,966,271,689,060,862,895,
414,199,446,790,568,798,809,126,526,426,577,890,613,628,722,320,738,005,289,
766,684,400,300,499,190,386,439,237,467,238,377,300,884,079,860,578,874,533,
553,179,578,725,465,106,862,318,446,741,755,186,959,273,182,784,838,014,263,
218,275,782,956,931,856,079,431,721,309,318,133,801,774,939,029,537,300,970,
109,856,356,879,541,879,912,787,114,381,906,607,577,777,606,136,086,857,395,
177,445,506,336,325,151,745,509,971,388,391,398,766,502,389,964,352,344,565,
077,062,179,420,211,700,606,386,445,753,000,139,600,681,634,959,301,960,101,
002,525,493,193,275,228,190,475,290,895,966,300,029,152,822,884,816,873,817,
610,359,286,411,035,157,433,349,156,508,697,357,936,209,231,593,543,753,705,
908,014,154,574,924,125,763,741,554,946,813,586,861,267,460,764,905,418,300,
105,739,124,711,073,025,762,698,180,774,836,123,646,226,353,390,725,527,214,
362,572,097,754,849,131,106,100,987,461,445,882,080,155,882,155,996,176,642,
289,342,461,584,807,576,963,016,275,354,462,549,868,681,966,676,241,673,718,
603,285,013,706,697,614,055,358,064,518,608,582,144,032,556,929,913,212,753,
012,470,412,770,783,518,671,075,915,696,849,354,266,236,660,887,696,857,717,
888,956,578,002,892,155,327,837,767,930,816,394,404,723,860,965,233,457,474,
175,111,031,323,010,388,003,515,713,803,845,863,340,539,449,267,120,869,329,
517,437,918,828,478,419,350,623,874,353,792,345,433,051,405,197,771,014,648,
261,574,487,035,513,940,743,178,221,113,231,013,276,079,443,352,070,794,971,
435,085,672,534,501,687,909,184,501,703,893,920,933,535,794,294,213,199,075,
024,874,985,161,276,533,864,587,599,049,507,675,625,985,562,746,858,195,620,
547,180,119,484,171,903,572,423,833,828,497,866,616,653,953,933,413,948,459,
416,903,733,258,323,353,566,743,548,101,443,899,213,370,746,260,579,469,370,
021,200,238,827,965,565,351,065,927,292,983,759,396,135,557,262,712,651,460,
448,444,651,704,547,116,200,234,951,313,194,692,650,489,150,888,006,896,210,
314,633,206,772,207,918,451,763,479,606,015,214,348,090,074,805,285,579,296,
020,006,157,619,269,890,105,565,388,229,424,627,019,954,619,607,285,866,639,
252,286,324,309,029,218,926,492,618,629,455,502,781,222,489,317,749,061,913,
138,433,480,747,446,173,543,737,911,934,477,251,222,840,397,776,312,848,425,
357,238,024,210,604,463,096,180,665,702,146,920,754,472,023,301,066,075,213,
446,042,153,200,669,933,456,797,343,943,758,150,984,841,086,183,793,443,861,
766,669,814,170,345,312,438,523,900,218,080,814,798,579,328,969,289,408,285,
546,957,729,468,880,022,740,913,145,023,824,122,558,537,048,742,236,770,794,
501,242,792,674,721,661,168,541,487,281,378,281,922,171,815,934,435,183,577,
404,939,121,023,892,806,759,323,816,990,865,793,379,189,467,450,617,698,453,
996,869,675,999,383,087,132,493,292,951,870,143,052,548,058,669,802,890,820,
387,672,853,660,233,970,441,142,430,712,676,115,320,470,346,527,543,283,272,
320,893,150,914,461,266,388,775,218,151,264,211,558,775,887,742,736,477,170,
615,043,558,515,234,516,277,908,615,703,921,179,277,821,986,618,414,992,315,
839,167,865,782,327,678,196,256,538,917,963,421,616,418,982,319,535,903,291,
480,497,696,335,041,425,620,217,412,458,676,610,191,581,191,323,467,342,924,
875,171,867,249,596,784,200,894,936,377,192,611,195,336,710,016,159,515,427,
692,527,553,463,829,043,673,278,863,571,356,532,149,495,483,705,120,350,521,
802,307,543,287,456,381,364,922,365,540,736,244,541,495,701,155,089,709,793,
339,044,464,726,250,638,846,841,142,229,801,831,919,847,993,133,458,626,070,
794,945,092,193,299,035,377,357,811,950,327,854,769,657,107,317,075,762,617,
076,341,663,051,318,956,093,736,269,905,044,144,712,467,763,814,686,678,412,
344,241,446,886,286,460,774,807,006,475,749,423,575,701,293,614,241,094,547,
118,975,726,645,467,780,175,152,516,814,491,099,605,337,747,996,289,950,725,
562,869,722,328,585,825,037,587,403,791,400,585,499,474,678,811,083,680,718,
183,905,999,259,174,480,104,381,915,175,717,497,846,983,744,562,063,712,271,
074,368,545,239,810,502,612,195,926,768,584,124,860,579,216,343,279,762,160,
492,433,203,063,021,967,098,755,707,939,207,888,673,585,434,397,834,179,569,
393,313,792,913,038,225,300,694,584,170,521,176,787,603,858,073,606,110,290,
609,240,718,220,026,996,231,882,503,872,617,387,525,500,821,373,953,401,755,
660,716,909,216,377,593,643,699,584,057,335,379,661,837,341,400,705,520,905,
578,031,359,004,249,830,716,329,156,504,843,997,148,449,735,077,177,145,975,
261,173,440,396,642,283,227,371,924,327,545,917,972,090,171,456,472,202,357,
790,999,963,169,407,268,599,336,119,113,248,105,836,510,633,099,601,268,540,
816,368,820,433,049,487,754,798,369,147,095,832,211,463,164,983,234,193,998,
899,044,470,279,661,721,103,526,413,396,638,453,312,036,109,789,626,309,959,
255,116,507,149,192,612,904,108,397,851,885,887,659,039,075,526,432,166,638,
755,369,890,325,468,755,927,663,429,218,650,453,117,294,558,844,096,384,777,
580,017,199,169,175,441,104,440,498,283,592,558,270,357,138,503,756,670,850,
259,118,620,773,923,097,380,828,242,411,127,240,769,503,061,656,036,087,971,
567,109,417,152,449,509,214,981,560,600,980,443,529,661,762,142,262,708,976,
115,971,760,633,824,292,889,625,684,490,081,477,342,466,614,631,739,847,309,
054,101,542,792,442,577,021,459,562,197,341,200,470,942,126,521,278,229,219,
617,123,155,284,320,205,600,373,329,957,738,405,065,301,516,088,831,941,011,
575,973,150,661,670,392,703,677,618,010,650,585,152,669,250,060,329,776,079,
273,512,959,776,340,038,909,657,531,116,595,304,807,797,878,784,403,954,016,
180,257,234,616,922,497,717,455,402,282,635,045,153,461,162,456,014,169,387,
110,077,899,398,629,337,110,896,740,242,421,892,048,937,394,143,270,485,684,
226,825,524,668,033,669,859,839,950,888,743,795,061,036,028,688,841,435,589,
486,396,758,857,993,870,784,457,819,316,648,050,450,728,764,999,164,086,304,
521,620,099,466,215,867,256,695,546,189,335,913,879,775,272,983,620,884,374,
635,380,915,330,672,858,153,370,152,348,425,135,209,039,346,567,603,946,404,
955,054,779,485,073,088,201,342,082,676,228,647,239,186,697,368,475,276,358,
471,394,098,278,910,559,772,724,621,026,837,980,897,593,379,075,032,042,653,
482,893,592,051,855,657,550,053,789,890,367,869,133,165,700,019,900,319,771,
381,327,020,334,984,415,011,611,298,103,512,412,648,174,110,486,579,418,633,
132,222,324,718,943,712,873,928,109,104,431,422,549,435,459,063,768,919,712,
431,764,365,872,867,604,026,887,361,102,418,989,914,001,352,816,822,840,775,
765,522,025,079,669,018,359,362,103,310,095,366,493,025,681,798,498,810,697,
599,355,833,732,114,820,808,146,695,986,348,543,627,299,860,332,111,239,142,
389,666,736,939,861,104,503,829,013,907,048,488,432,547,446,962,764,091,570,
338,266,286,086,084,553,930,411,366,102,380,966,064,337,087,084,127,809,771,
001,930,423,799,124,187,362,798,565,797,658,302,348,506,665,141,655,717,007,
644,414,075,331,873,176,416,769,933,675,455,320,710,161,496,418,019,541,093,
054,220,425,171,915,980,499,320,118,032,750,841,902,261,539,151,067,865,808,
852,727,751,534,029,833,139,566,989,391,405,729,374,176,676,404,206,567,263,
843,095,277,615,217,235,120,952,183,423,966,345,761,316,962,554,411,099,064,
891,772,498,295,968,251,720,121,882,448,351,025,489,709,308,138,462,010,662,
287,917,794,857,279,435,278,907,986,915,154,245,395,762,235,878,498,596,335,
944,674,865,671,718,370,751,429,934,169,300,090,635,783,791,653,192,211,302,
761,825,939,508,545,676,442,214,856,597,106,984,394,745,903,285,481,823,345,
550,726,957,966,382,266,004,007,847,885,304,145,652,457,886,081,040,680,184,
101,171,033,127,825,268,224,075,743,815,541,660,983,268,619,650,661,515,349,
284,217,421,939,883,867,905,792,111,576,185,351,294,014,535,214,411,263,797,
188,600,184,264,708,378,161,375,556,467,462,160,947,674,673,803,210,462,140,
928,909,350,005,464,979,625,710,800,703,804,474,209,786,586,590,035,572,979,
049,239,699,596,917,892,824,668,045,794,153,867,880,914,728,422,733,547,760,
919,828,405,484,438,917,973,978,946,115,341,764,519,414,359,625,504,830,459,
362,671,426,445,991,583,090,552,676,207,337,589,904,442,398,041,094,920,768,
721,991,647,021,417,447,028,417,482,406,376,188,846,669,825,287,723,950,791,
525,713,003,166,110,308,868,307,557,342,265,479,249,544,547,654,962,402,609,
560,491,484,629,378,094,041,009,225,706,800,288,522,752,161,039,571,568,165,
469,587,321,652,243,020,634,257,155,413,469,484,632,265,846,099,816,370,172,
913,445,935,534,890,328,204,482,834,672,510,225,785,683,593,803,234,752,809,
281,981,980,388,552,731,259,477,790,596,132,025,461,034,364,800,568,884,992,
506,564,449,939,295,901,460,581,519,179,266,720,464,727,762,980,928,916,816,
943,652,990,835,012,135,547,124,662,427,901,909,832,338,166,612,102,813,880,
410,786,152,318,302,141,146,124,997,313,773,015,911,000,256,507,650,864,126,
790,648,721,982,706,701,058,986,559,645,881,747,397,739,119,210,743,057,453,
428,138,053,669,905,368,255,569,806,012,974,280,051,196,246,223,569,782,954,
124,516,179,564,718,194,487,757,152,397,342,575,551,249,944,321,137,829,380,
465,103,977,679,729,944,280,665,886,808,186,573,543,734,665,582,134,631,376,
167,428,501,683,219,336,891,216,840,775,834,204,084,323,923,789,877,412,676,
455,925,573,583,087,515,280,015,515,467,882,369,675,516,808,261,300,119,358,
439,159,847,540,315,185,511,193,071,471,975,862,709,061,658,766,247,350,450,
288,837,392,628,293,743,108,264,542,098,160,318,757,558,418,955,732,517,884,
823,980,706,003,890,965,140,095,819,545,353,035,302,868,077,368,539,086,224,
814,641,048,065,480,289,129,093,627,729,518,074,366,616,054,468,726,709,005,
782,322,733,254,698,590,693,807,173,984,242,021,478,518,766,039,759,570,890,
897,621,159,712,034,153,193,896,189,402,380,849,540,573,844,684,690,324,669,
302,116,505,737,197,612,586,322,538,530,160,515,023,786,309,135,046,934,867,
640,084,474,083,489,998,152,989,340,720,299,429,206,446,849,892,886,885,541,
996,057,683,476,843,046,407,135,320,095,033,756,433,794,336,031,237,771,523,
584,078,270,667,178,800,533,040,307,447,336,525,466,869,158,782,674,721,236,
708,356,234,097,752,085,376,334,521,879,240,938,612,307,915,726,003,939,124,
413,368,241,442,029,921,470,263,744,376,632,073,225,275,301,383,757,537,533,
754,997,015,810,511,282,588,930,089,002,399,441,637,003,623,261,392,536,249,
274,237,971,668,371,181,245,245,034,814,154,433,626,530,013,559,466,985,673,
804,116,265,110,219,293,163,602,899,012,934,236,530,893,037,308,592,196,117,
709,448,433,966,407,403,237,403,804,450,593,150,567,642,386,117,163,346,478,
219,938,665,151,658,396,812,933,115,293,142,277,588,381,998,732,743,315,248,
846,632,696,928,286,410,433,551,306,449,050,364,350,057,768,631,282,158,410,
255,807,926,313,815,602,996,455,999,186,839,549,127,395,525,118,152,101,632,
089,088,445,416,257,080,492,808,351,507,852,768,895,113,231,619,668,256,773,
069,318,122,352,461,043,829,910,999,472,926,590,209,571,926,534,192,725,132,
889,807,597,712,523,433,243,788,051,793,481,901,404,398,312,658,945,184,009,
581,790,419,337,887,679,448,973,695,220,188,640,380,515,336,956,815,222,664,
686,038,754,197,106,111,209,763,915,690,358,470,811,567,267,728,362,436,874,
731,983,750,298,474,449,732,841,625,317,177,078,900,421,222,368,288,144,608,
573,722,322,071,728,441,909,188,586,370,197,282,492,263,627,604,712,911,129,
880,484,343,020,604,176,570,219,926,178,632,115,379,852,739,144,761,891,979,
668,740,373,574,266,513,836,089,191,020,011,181,498,790,656,458,793,284,274,
567,666,283,922,937,718,878,745,777,906,364,285,318,117,399,467,339,664,932,
853,721,924,726,547,796,538,549,416,596,470,634,162,187,359,815,593,778,408,
576,606,478,164,784,681,904,331,690,534,840,973,131,121,913,321,571,489,616,
157,543,068,730,299,177,215,712,031,828,906,157,467,350,217,963,102,687,192,
809,945,702,831,606,514,038,792,996,854,290,979,638,162,843,536,066,940,051,
806,501,518,497,591,280,337,910,533,956,613,326,869,149,010,812,196,930,723,
050,413,820,682,923,944,948,966,841,321,637,559,117,250,791,157,413,489,363,
024,964,499,229,862,365,529,782,764,348,259,009,874,004,100,100,176,479,991,
058,958,060,744,430,517,782,923,707,350,010,055,132,082,871,575,471,019,426,
721,590,813,013,104,515,653,412,228,180,887,044,732,720,333,024,899,415,953,
895,560,250,103,201,055,482,930,543,795,443,968,523,733,617,375,328,597,959,
879,746,849,164,370,446,030,264,363,376,284,028,990,837,444,521,616,143,020,
154,273,440,863,811,933,442,255,008,178,377,524,866,264,195,192,992,991,976,
028,947,296,937,036,453,508,255,601,367,517,388,196,695,364,731,172,342,118,
944,706,186,759,940,371,585,270,993,304,286,230,123,866,169,855,820,444,444,
935,789,291,119,492,556,538,250,109,328,821,974,118,131,663,331,905,136,121,
119,194,266,434,235,253,360,602,382,882,826,483,405,772,046,375,806,489,378,
879,014,900,414,421,901,649,966,421,444,726,950,144,679,104,932,169,892,693,
135,573,736,036,634,251,205,852,507,464,038,925,947,778,394,036,975,720,791,
955,694,995,902,204,387,774,630,580,612,999,024,539,219,108,083,769,818,887,
701,759,002,404,957,644,269,666,740,044,679,090,629,622,700,335,570,581,570,
855,609,428,085,296,419,689,909,098,454,612,116,564,986,847,486,981,981,019,
101,583,241,220,129,375,636,793,778,122,292,755,304,410,677,924,249,722,939,
653,003,634,184,065,948,820,760,259,659,094,222,355,131,671,159,622,452,608,
479,734,789,238,519,637,236,126,966,960,464,511,036,211,121,409,277,186,401,
590,383,083,627,362,657,465,723,078,408,972,120,695,036,693,343,807,282,820,
593,682,787,279,999,218,472,101,845,986,526,163,978,949,758,742,818,458,547,
759,533,427,083,584,116,786,408,117,979,766,472,056,726,661,680,792,074,834,
858,032,794,336,506,016,285,644,955,998,039,254,324,707,709,219,407,086,333,
489,779,848,731,098,631,789,966,051,846,794,428,580,964,781,424,987,288,817,
440,382,590,896,793,432,066,041,896,328,235,456,863,497,984,719,373,998,376,
163,688,354,907,805,771,361,056,429,205,354,290,136,492,786,672,640,727,498,
952,038,865,633,666,022,020,314,815,102,557,131,776,618,599,296,750,092,150,
282,560,290,870,915,929,133,297,466,559,115,300,768,777,246,509,037,205,532,
758,373,287,091,387,598,928,896,092,458,221,098,478,933,787,391,721,363,053,
811,267,185,181,057,837,201,509,111,474,224,287,522,679,074,987,334,129,327,
634,037,845,280,975,299,789,361,009,755,141,181,294,943,334,672,903,943,393,
248,976,317,157,044,606,822,178,212,269,937,585,638,423,674,939,341,209,886,
325,324,385,922,301,748,216,231,493,450,505,795,440,414,662,546,574,432,051,
840,598,409,389,140,292,859,296,914,469,812,211,648,535,270,018,270,641,077,
306,490,336,999,284,886,503,687,730,473,719,366,716,541,024,889,766,317,827,
233,717,522,777,477,926,258,819,560,621,946,580,415,971,825,079,767,202,696,
042,814,458,234,542,945,198,556,072,689,950,811,511,210,343,712,252,141,634,
463,760,163,900,707,052,876,445,759,119,495,012,245,225,122,276,699,005,802,
353,029,663,306,311,928,537,385,625,440,915,209,158,474,312,981,686,763,447,
212,077,938,367,208,021,939,157,475,302,362,861,606,914,314,235,199,775,116,
346,706,038,876,898,724,848,516,297,670,122,010,326,664,593,699,803,076,810,
726,564,640,330,422,556,137,584,195,692,179,078,407,619,226,574,109,598,335,
691,425,556,922,550,942,307,148,124,892,170,922,814,660,279,003,820,469,678,
478,144,369,461,292,420,403,309,281,358,033,736,121,433,181,133,659,208,400,
818,149,772,019,709,598,350,090,226,000,372,874,965,460,777,479,208,267,927,
684,255,131,741,037,653,346,658,722,650,178,528,863,917,017,990,457,638,058,
152,979,533,618,214,220,009,937,118,175,305,658,070,337,003,326,117,899,899,
107,133,510,283,009,033,265,524,402,681,007,341,330,124,617,936,671,893,660,
316,102,244,300,664,781,792,946,481,336,959,544,726,608,333,547,245,637,580,
773,930,373,285,470,613,651,782,950,935,625,289,240,428,193,625,760,886,318,
711,088,700,044,155,915,238,759,263,102,258,989,223,536,841,559,769,166,236,
665,327,305,200,617,285,000,712,196,067,398,800,834,425,765,443,607,666,105,
168,910,013,939,686,381,313,113,347,132,928,968,553,338,752,287,275,365,719,
176,210,204,186,889,944,224,540,858,943,259,051,071,672,831,482,625,105,224,
002,357,845,945,324,071,398,501,342,623,375,489,079,805,714,251,697,803,806,
064,023,809,190,854,030,631,706,805,769,808,774,025,302,081,320,285,050,839,
561,270,932,752,840,280,604,421,713,073,803,304,294,469,248,068,630,477,234,
164,454,013,826,257,298,348,930,641,221,295,633,212,229,099,489,091,306,155,
655,187,414,032,817,326,747,244,837,608,467,311,026,700,089,559,713,094,589,
067,109,755,888,579,351,877,893,277,845,675,703,076,837,974,640,193,087,077,
858,054,011,689,270,378,924,770,625,592,705,775,139,956,650,582,204,067,095,
377,974,655,206,392,368,972,879,307,387,917,285,248,143,888,275,139,114,218,
910,498,752,519,424,389,092,446,924,838,959,817,853,152,105,666,068,680,604,
961,366,701,529,688,781,737,518,989,870,447,063,645,385,043,416,745,058,642,
457,276,012,333,603,619,162,128,803,238,085,798,439,109,044,781,486,317,241,
027,616,831,594,368,807,696,392,241,549,665,225,118,190,234,081,512,017,918,
296,761,060,484,693,900,699,850,524,877,742,966,904,646,832,656,848,558,393,
035,728,155,436,462,733,713,850,524,750,097,634,432,967,026,912,079,864,105,
473,864,053,881,476,651,223,949,666,417,824,275,131,069,342,381,169,261,041,
711,926,194,432,636,892,407,892,488,701,427,803,992,631,116,843,411,054,680,
872,543,261,414,757,085,830,075,667,702,581,676,224,042,013,440,708,133,144,
211,062,090,481,870,721,263,002,047,515,423,658,697,886,817,522,105,831,467,
981,998,525,140,523,931,308,221,721,751,447,771,985,560,065,873,824,773,313,
758,030,477,089,187,272,841,850,051,340,732,094,128,177,976,587,172,104,607,
379,146,028,805,742,541,505,303,330,480,442,378,610,803,477,694,031,901,167,
596,190,554,655,170,834,273,526,444,716,581,435,656,172,943,075,975,706,764,
600,645,586,238,465,188,131,222,785,694,159,463,783,811,779,322,116,175,458,
936,548,566,656,195,504,232,940,624,164,629,010,991,780,139,455,656,423,355,
915,241,485,779,657,738,781,623,671,121,287,486,979,388,055,911,911,797,136,
113,115,745,541,530,912,853,808,464,970,182,030,335,454,539,570,170,900,297,
151,935,271,365,833,497,642,789,505,841,109,512,901,985,245,105,902,597,650,
339,975,597,211,529,389,097,576,200,429,655,490,736,302,723,265,830,936,005,
772,794,157,601,282,084,402,891,870,515,446,121,113,667,801,565,586,093,276,
333,303,628,070,905,598,690,417,244,919,470,966,593,771,775,308,385,022,751,
838,542,918,723,165,682,802,884,154,499,313,105,179,036,147,780,210,635,710,
330,743,831,479,059,227,567,947,554,924,768,476,195,918,970,616,703,447,240,
494,282,824,499,946,796,240,447,770,075,991,869,410,476,357,282,238,791,731,
577,987,925,277,186,142,470,011,561,815,144,781,469,429,628,170,925,915,511,
781,237,242,779,760,081,189,784,411,312,228,997,481,554,654,937,583,992,622,
454,451,904,726,362,275,213,803,462,792,390,747,508,577,654,655,449,491,880,
946,332,867,681,426,382,488,636,354,218,971,334,130,767,730,833,972,780,502,
935,912,780,701,822,324,600,638,339,453,877,195,124,737,294,287,144,410,876,
275,626,386,500,734,839,294,859,839,534,185,531,495,415,544,044,413,611,554,
883,686,412,456,452,456,673,601,276,263,536,078,620,731,547,283,540,821,771,
409,527,956,791,293,939,843,974,196,324,489,510,557,982,515,909,632,556,509,
509,327,591,931,447,233,379,298,866,104,301,873,617,666,075,870,817,434,857,
157,350,173,974,921,043,842,137,741,601,637,692,142,783,794,856,577,818,128,
040,789,200,728,985,171,537,670,766,793,030,909,983,314,926,353,764,782,431,
735,016,214,421,366,910,652,446,472,763,461,072,509,426,655,385,097,226,093,
781,346,863,552,458,058,739,054,181,624,736,582,047,707,271,362,284,861,790,
924,476,168,314,558,245,206,924,520,695,368,168,157,587,274,682,372,328,951,
776,791,421,490,831,147,211,880,678,787,107,901,948,725,588,165,143,192,148,
003,927,592,766,382,367,812,588,526,484,839,785,963,470,226,592,323,309,107,
734,304,559,799,145,505,155,457,946,710,679,389,806,155,911,332,769,939,477,
610,132,056,637,544,349,842,567,141,749,150,152,056,975,978,504,179,922,009,
297,485,533,331,493,700,280,861,696,884,904,144,205,140,612,088,746,764,523,
873,999,548,604,976,943,922,884,138,656,708,638,867,545,867,668,691,455,687,
127,931,014,935,229,255,271,031,800,997,231,255,823,804,837,446,305,593,308,
719,197,520,515,244,950,503,379,756,331,680,470,842,104,275,921,708,175,444,
484,028,273,380,010,222,602,383,510,869,401,418,868,425,388,674,274,351,019,
294,317,137,256,768,821,467,974,337,754,641,800,263,755,651,364,291,677,104,
707,181,839,065,464,965,171,018,349,314,711,919,655,557,948,803,554,906,075,
999,469,329,385,847,690,726,671,201,521,988,675,833,693,284,148,793,045,610,
248,810,893,198,154,836,469,053,115,776,675,187,332,642,637,597,317,859,079,
068,183,131,334,955,256,320,865,213,194,876,187,353,719,205,414,915,730,239,
151,674,480,559,546,212,441,789,183,035,745,764,384,281,364,331,557,146,317,
718,262,482,187,389,483,993,751,565,962,569,295,100,605,189,719,572,548,821,
178,895,471,824,622,411,979,235,684,625,210,656,925,408,601,412,295,903,522,
097,084,208,782,303,093,914,163,947,103,100,185,377,926,728,867,087,639,973,
559,422,333,935,387,424,749,046,158,439,496,394,258,032,516,926,200,729,435,
876,929,310,756,803,877,900,841,786,951,954,090,654,205,962,120,473,799,534,
114,079,677,597,434,104,960,018,125,379,390,184,906,766,017,906,098,894,443,
907,102,226,936,777,780,436,057,003,359,611,156,531,485,853,594,394,454,484,
363,050,889,368,843,306,660,976,261,770,019,967,876,884,852,157,870,623,649,
243,501,876,172,384,008,721,204,301,659,413,701,173,404,710,462,575,777,654,
613,767,524,792,553,371,601,067,334,832,226,984,371,944,559,397,048,017,644,
270,656,577,667,886,176,651,158,047,681,761,100,436,513,114,741,524,453,224,
316,420,693,624,787,966,809,803,247,550,151,062,691,462,301,329,180,250,411,
036,712,243,725,406,763,703,889,311,021,753,175,067,157,413,993,439,755,284,
553,567,684,117,322,736,702,631,548,391,551,989,971,410,640,266,483,991,445,
891,536,974,965,619,926,819,569,418,063,364,819,962,699,688,015,215,878,728,
977,432,637,901,161,659,717,815,189,333,085,779,675,335,241,332,860,979,746,
126,856,239,375,069,034,703,495,105,218,865,194,572,184,456,690,898,781,819,
391,749,721,328,476,855,523,231,012,077,568,992,645,613,153,207,642,604,018,
258,663,749,443,654,661,129,193,837,309,230,755,475,477,645,348,128,191,545,
440,772,585,758,293,258,567,268,150,903,905,471,917,547,313,619,702,877,752,
726,921,590,992,705,753,619,598,859,838,816,222,474,430,213,701,626,947,451,
885,391,818,313,291,511,102,631,667,759,249,747,649,816,110,525,385,305,640,
152,071,759,788,343,398,160,299,119,304,650,867,460,184,336,778,070,759,307,
622,542,065,580,662,562,331,049,788,192,617,014,151,832,712,515,146,049,698,
556,667,234,586,607,769,525,805,891,907,033,348,926,422,057,250,156,117,288,
446,617,785,390,789,879,322,873,218,353,170,410,299,970,015,824,656,930,465,
830,616,158,505,468,339,941,249,223,125,242,711,010,559,572,438,291,840,027,
211,862,696,529,379,354,625,025,630,234,517,567,369,613,229,120,867,867,064,
886,398,734,954,161,507,795,320,706,308,992,289,767,114,618,181,761,142,896,
919,618,156,497,693,649,712,338,595,347,631,825,788,839,779,413,272,034,683,
357,745,011,034,080,639,631,425,565,003,826,690,817,574,762,637,283,094,566,
616,045,350,704,363,894,246,241,294,423,711,995,662,940,554,826,802,588,869,
778,398,865,970,327,633,984,638,020,236,136,753,008,544,941,507,150,592,398,
658,363,002,844,577,322,700,585,547,725,779,466,907,495,287,777,011,991,095,
624,013,209,544,468,274,221,057,443,936,113,551,545,339,918,609,432,325,720,
230,623,868,884,635,201,652,035,841,818,736,868,411,764,196,753,362,057,981,
567,974,883,769,401,441,935,903,536,729,095,227,481,005,240,823,298,384,564,
950,566,987,140,502,081,157,050,898,526,209,635,492,155,094,269,105,862,621,
211,856,935,781,004,510,564,081,822,567,608,291,989,798,715,512,662,699,372,
003,902,310,136,427,764,071,437,054,429,421,663,077,499,071,932,194,563,592,
654,094,452,698,017,550,373,553,761,727,451,113,707,707,142,793,977,548,595,
260,315,410,318,412,029,183,823,552,264,245,740,351,790,041,621,206,186,380,
298,542,000,867,910,878,775,299,697,466,467,979,783,868,216,956,953,413,035,
333,524,640,295,703,949,595,827,533,703,841,196,290,455,052,134,969,883,600,
639,634,240,117,830,763,743,217,391,080,595,479,082,195,420,039,900,467,818,
554,209,110,761,554,787,053,218,391,475,099,933,106,155,105,468,406,740,885,
940,929,991,680,176,977,199,871,495,571,015,034,671,221,339,740,772,691,556,
112,390,045,882,400,336,465,414,137,187,005,202,331,549,976,164,520,093,729,
955,916,475,895,532,495,985,117,340,737,181,302,499,495,148,676,212,502,677,
719,722,894,820,751,081,946,666,580,218,138,830,096,327,705,451,508,294,703,
651,193,171,062,636,163,245,461,655,605,656,566,357,288,913,420,023,590,505,
101,868,848,998,964,904,068,990,494,063,361,674,696,286,579,067,473,216,970,
415,851,704,983,734,463,685,313,445,712,285,966,636,246,030,442,237,524,548,
199,277,109,833,439,081,613,346,038,075,504,431,415,685,588,747,660,334,328,
348,808,931,916,558,809,837,780,844,911,281,918,733,967,255,326,443,870,250,
611,049,987,054,655,586,478,872,780,579,576,534,150,075,516,073,010,613,930,
271,613,456,426,103,707,886,017,731,916,795,121,637,446,942,425,746,029,669,
402,787,564,279,187,893,057,743,256,671,576,491,013,382,337,720,568,465,444,
467,883,492,701,335,570,620,411,804,186,851,462,966,308,713,976,106,309,797,
512,600,691,073,755,819,023,996,046,960,816,413,883,210,989,008,560,999,833,
634,733,919,559,298,383,944,290,034,016,807,921,648,179,415,086,645,074,322,
181,889,119,078,336,035,410,755,980,625,577,325,282,585,828,986,847,568,291,
522,016,498,258,167,149,209,730,314,018,308,349,141,321,870,786,178,337,429,
846,511,241,927,873,266,192,917,937,275,016,973,247,591,727,026,563,091,618,
641,122,747,644,398,392,585,523,630,639,524,602,767,797,608,588,473,844,002,
927,195,389,185,452,674,724,490,110,323,732,618,885,679,859,784,898,753,528,
493,718,382,827,486,785,457,684,651,120,262,547,487,579,040,088,120,331,053,
723,487,925,264,458,862,516,182,915,418,510,430,241,245,991,636,298,544,194,
821,383,715,918,826,690,815,411,123,518,086,290,779,164,063,889,754,075,701,
252,747,352,893,005,087,463,903,840,389,632,603,583,500,145,983,073,220,479,
502,529,869,015,120,022,045,653,707,788,446,812,188,564,549,001,994,787,561,
322,226,272,602,623,510,261,066,033,857,221,212,829,049,193,659,500,276,520,
868,261,979,751,810,791,175,146,585,290,506,866,609,012,209,488,292,564,405,
169,792,319,714,493,135,391,218,685,347,817,291,514,639,760,083,860,023,733,
315,800,975,032,429,304,588,858,626,292,209,484,217,928,163,265,575,233,684,
271,362,717,184,301,934,777,250,747,369,713,575,511,974,198,542,509,440,111,
531,557,210,300,846,041,613,038,835,656,460,824,932,127,446,059,988,217,731,
763,503,302,691,151,480,291,656,970,401,564,202,677,508,080,692,996,171,293,
849,546,900,124,134,420,690,828,285,083,916,994,608,093,529,321,328,046,977,
640,810,555,442,762,153,750,357,312,085,852,702,970,736,630,323,057,256,619,
944,772,814,509,276,880,315,267,839,852,436,415,966,532,893,603,573,636,527,
821,604,060,952,108,658,862,094,005,207,241,973,753,479,995,817,493,635,933,
325,037,467,238,654,939,305,635,552,008,649,527,445,441,439,557,796,751,386,
325,855,505,657,612,155,369,631,775,715,084,034,934,567,879,401,204,218,969,
143,411,884,476,924,986,459,289,593,620,689,234,728,956,090,327,712,440,995,
996,940,455,336,771,637,426,950,955,411,459,576,946,268,087,541,926,114,376,
389,876,162,380,801,127,664,299,807,968,314,140,851,003,597,989,686,393,869,
211,090,312,755,436,025,473,009,999,310,122,592,182,863,236,791,510,584,793,
575,130,025,032,177,015,243,039,966,157,145,412,879,568,369,019,773,450,608,
921,541,231,964,327,347,212,081,597,600,093,718,774,298,168,797,686,259,077,
224,976,356,834,449,232,811,367,427,985,877,260,010,840,299,209,407,789,802,
031,817,287,426,130,220,013,656,657,542,233,397,943,294,254,468,701,178,665,
781,848,703,789,070,037,021,415,623,416,690,680,278,860,988,252,596,069,387,
772,930,847,845,643,352,412,194,470,676,352,291,450,290,834,923,406,735,203,
353,457,136,177,730,895,866,357,245,669,746,846,421,923,045,973,943,363,774,
077,925,431,764,324,630,597,999,001,972,387,122,858,504,569,335,239,199,235,
326,339,815,814,700,090,658,317,014,658,571,721,148,434,842,840,406,790,542,
204,227,024,646,106,734,312,205,985,997,544,789,906,814,731,175,171,809,264,
524,498,013,254,282,269,102,209,134,845,598,650,865,302,076,239,727,285,505,
385,804,153,991,268,044,233,663,944,751,328,996,733,663,577,812,020,623,786,
405,872,770,389,673,803,942,623,509,291,750,486,841,185,810,981,414,808,082,
725,250,182,726,474,690,165,321,317,938,422,636,726,120,220,965,198,095,674,
705,270,205,224,869,096,254,184,471,180,604,003,000,730,446,406,803,668,369,
615,334,382,964,909,208,393,501,929,228,600,650,294,308,254,439,673,397,975,
579,079,434,105,258,798,552,393,025,115,808,156,652,688,194,460,558,373,971,
361,539,154,083,844,871,036,683,497,726,429,982,331,145,854,441,770,772,143,
242,598,604,927,501,068,010,488,393,065,953,590,561,316,018,635,020,163,137,
736,593,540,181,945,713,725,586,588,936,215,658,926,199,641,622,558,488,686,
224,175,687,226,250,362,875,223,223,462,019,279,110,695,075,071,959,002,425,
091,378,779,045,442,893,286,623,530,812,256,077,169,138,365,471,080,761,427,
391,084,872,868,036,578,802,220,648,669,582,773,413,765,274,403,097,667,128,
913,922,523,342,269,241,661,872,480,877,651,320,105,518,004,966,644,151,571,
816,190,254,039,162,595,369,648,078,592,692,524,017,285,654,459,186,849,872,
433,398,748,757,546,026,588,573,599,960,313,177,891,945,307,555,963,527,078,
067,965,660,276,308,995,400,938,018,930,112,697,632,490,213,751,269,723,393,
962,598,113,974,870,578,731,892,034,922,531,843,083,975,544,776,739,370,043,
883,015,948,812,111,159,697,009,191,528,948,612,506,143,652,132,166,397,584,
136,841,210,661,002,284,185,774,107,067,567,644,820,061,915,731,937,604,522,
722,313,580,815,757,953,184,924,009,511,654,573,480,818,027,743,432,239,803,
310,834,014,096,376,850,298,885,200,853,939,580,255,983,205,376,070,815,629,
405,176,360,222,011,938,854,879,615,083,456,072,615,280,193,357,332,425,785,
932,883,391,239,293,055,186,755,151,082,629,393,080,415,191,351,163,425,609,
715,393,280,092,560,597,680,676,463,631,210,863,225,191,473,656,911,523,194,
539,402,051,109,437,440,370,122,395,258,946,382,094,079,517,786,857,825,968,
562,456,701,737,620,164,925,321,773,512,142,817,088,060,639,810,321,862,739,
180,007,221,779,279,264,896,087,358,318,591,253,886,875,689,127,987,532,324,
169,086,222,856,856,903,816,504,269,441,988,880,183,231,821,224,838,607,435,
298,634,871,845,925,885,061,476,273,145,073,064,552,723,852,703,715,451,538,
696,755,194,914,532,380,485,641,378,741,063,090,819,562,026,735,399,753,472,
614,426,405,686,263,899,516,719,551,254,263,603,054,364,418,219,865,855,113,
343,698,717,975,218,490,259,079,884,958,628,050,700,402,650,374,099,694,387,
015,712,037,682,547,625,185,473,946,339,432,370,782,195,597,002,700,820,715,
860,303,595,423,573,845,738,373,667,143,585,931,356,916,762,348,592,138,099,
299,040,758,280,151,306,419,536,688,092,565,608,109,611,717,736,423,497,895,
014,250,507,046,756,862,758,704,352,408,466,908,528,987,853,180,657,746,611,
081,532,398,931,607,873,777,067,155,087,542,293,507,241,925,825,457,547,318,
388,772,740,097,806,544,133,463,909,345,985,726,376,070,624,743,936,307,982,
636,396,404,224,091,637,682,599,324,185,571,935,110,807,289,067,864,146,214,
162,608,671,841,050,338,891,335,227,906,046,918,247,695,242,747,647,514,165,
545,441,051,855,271,498,766,287,587,179,991,051,173,520,507,838,921,633,389,
080,384,662,700,051,294,233,051,984,323,705,940,996,952,855,841,819,779,982,
872,478,750,801,091,183,643,999,820,610,727,547,960,853,521,659,689,541,121,
121,953,681,310,438,421,992,682,389,318,537,142,736,045,341,700,600,097,376,
076,405,572,502,390,140,827,965,219,821,899,079,172,152,972,638,141,079,574,
141,587,380,958,404,335,064,542,725,170,629,409,403,571,593,952,721,461,909,
817,747,431,857,747,413,836,543,158,741,305,404,830,224,598,276,987,550,558,
248,913,502,294,275,814,280,968,931,926,626,387,971,368,066,899,831,041,254,
370,881,446,556,687,934,740,302,522,771,908,971,308,350,238,785,434,808,289,
596,825,784,164,939,764,131,662,089,823,816,434,105,092,508,630,775,979,758,
272,650,289,684,893,399,595,526,665,382,455,429,035,919,947,235,859,568,979,
995,630,441,553,363,469,271,093,898,146,027,299,598,521,721,140,395,316,432,
427,625,520,179,284,298,205,855,115,050,249,703,818,081,481,701,970,871,856,
140,773,581,889,633,517,931,284,594,920,773,191,868,193,869,176,605,867,312,
811,832,690,043,158,723,452,594,577,343,402,745,610,325,957,758,302,073,887,
197,658,016,342,069,959,295,627,080,712,933,831,218,473,544,829,991,075,685,
197,039,017,405,813,674,373,701,789,510,407,783,138,880,174,822,233,415,166,
225,021,571,920,595,179,925,136,437,199,039,464,480,137,391,829,597,416,504,
714,593,509,202,777,463,452,307,727,412,934,930,717,862,140,200,055,172,600,
440,256,591,976,049,195,738,670,419,188,030,025,610,687,037,535,976,877,537,
914,679,408,881,334,170,926,503,812,639,106,440,809,361,684,046,815,554,662,
844,087,161,341,924,501,395,115,743,185,969,897,519,231,899,135,103,334,266,
296,068,212,164,858,370,358,877,676,030,270,417,901,583,758,024,633,992,103,
215,119,739,291,548,641,613,571,181,115,298,907,692,273,852,233,311,873,032,
713,784,317,247,568,091,762,633,264,652,596,130,832,074,894,702,151,495,312,
789,225,764,758,148,479,801,332,474,201,600,710,885,402,141,601,514,258,279,
268,109,447,393,160,169,661,002,064,989,681,181,835,126,456,474,309,401,359,
969,336,517,242,813,995,697,661,888,600,230,491,201,590,097,853,292,054,607,
098,745,595,737,590,508,464,073,123,975,124,374,181,915,406,035,860,878,895,
737,222,934,608,598,925,685,090,972,285,995,948,412,834,592,725,056,619,315,
907,298,077,024,277,748,215,223,244,911,947,245,573,159,236,293,726,358,062,
053,668,974,628,371,290,282,874,419,665,768,263,584,855,847,008,179,281,301,
025,725,572,311,433,858,975,416,688,208,270,434,508,818,010,203,023,458,686,
575,088,711,826,679,043,430,888,386,102,404,025,444,505,847,527,115,087,745,
219,944,061,663,924,925,756,283,910,348,030,834,410,674,402,953,896,690,740,
218,290,157,440,159,812,411,147,328,029,783,090,413,562,969,262,159,542,126,
532,677,269,697,369,696,452,714,400,468,485,878,459,077,121,178,991,442,375,
305,042,762,155,949,505,443,629,776,059,048,808,576,226,267,087,404,316,168,
811,011,309,785,112,794,635,464,521,125,434,783,718,432,548,747,284,097,934,
443,875,739,750,980,833,356,388,360,513,729,857,723,936,704,659,358,337,899,
145,478,468,750,086,131,044,029,547,192,513,048,384,840,706,093,585,899,954,
535,386,682,861,053,670,455,513,481,739,141,818,060,031,123,185,784,724,447,
458,780,728,957,265,256,503,443,941,834,438,155,343,223,424,954,229,294,728,
530,153,317,791,378,131,456,595,392,670,786,222,692,911,333,286,978,710,539,
319,155,671,794,297,697,817,699,978,917,316,658,073,258,482,239,487,850,126,
784,453,534,339,942,210,706,709,716,610,974,447,588,668,391,567,873,103,007,
294,003,401,651,463,216,350,148,270,938,146,140,570,742,646,761,819,539,886,
965,634,250,087,752,360,932,259,833,300,239,424,680,406,621,678,183,130,021,
201,455,285,208,275,466,217,696,984,582,897,063,592,773,050,745,765,981,529,
307,426,006,684,906,620,986,139,741,077,202,904,075,054,458,751,676,544,051,
574,007,710,984,155,158,767,468,964,883,983,548,839,729,819,269,262,499,083,
579,546,408,740,471,731,652,637,828,683,663,436,712,314,832,246,365,811,472,
078,436,171,372,928,699,282,615,615,096,959,232,817,915,511,880,443,867,135,
254,226,288,070,686,169,705,421,497,371,958,768,887,034,584,382,770,830,563,
896,457,344,435,335,507,313,951,866,861,715,918,523,234,900,646,718,225,050,
837,729,965,793,291,705,590,333,281,985,901,021,593,647,525,663,923,901,305,
644,417,284,161,225,883,364,328,878,281,781,183,060,805,614,176,291,398,033,
104,905,794,567,089,112,931,021,687,198,295,250,390,743,747,564,833,063,700,
315,190,431,048,206,851,752,460,189,969,836,662,678,362,450,199,300,635,006,
481,806,117,805,444,472,693,985,418,214,069,488,835,052,112,818,015,158,144,
086,553,373,630,699,700,527,702,905,928,641,583,946,312,548,211,322,879,457,
095,148,411,148,173,328,018,722,428,314,900,120,262,403,682,752,225,414,256,
966,477,880,728,652,911,929,211,566,033,597,250,639,589,309,892,646,962,918,
723,099,411,811,612,857,841,012,041,890,465,027,856,535,949,627,433,406,594,
232,584,233,897,819,411,033,434,501,356,719,124,581,070,505,872,619,267,254,
945,189,343,711,449,459,150,148,510,808,634,733,714,215,941,115,152,905,243,
668,118,761,154,751,762,205,987,172,187,268,219,969,067,707,524,608,885,284,
211,234,034,426,688,248,230,370,760,503,209,300,624,109,169,862,479,994,961,
858,755,214,767,157,936,232,713,619,442,237,124,369,678,337,333,322,902,082,
723,957,094,468,407,987,422,106,410,935,256,232,708,877,956,969,096,868,783,
169,654,637,801,724,767,771,951,343,468,029,149,569,471,654,666,107,813,313,
008,967,892,951,125,354,470,372,486,061,551,384,380,178,325,929,045,001,863,
639,688,513,185,104,375,709,400,662,085,016,925,732,966,062,133,694,773,774,
935,268,142,763,731,978,931,313,906,243,217,749,177,560,729,164,150,551,034,
699,493,554,894,593,314,785,523,521,147,771,477,466,081,105,379,791,739,732,
127,102,159,864,970,228,180,208,712,113,928,661,467,928,203,682,812,368,360,
669,855,510,471,816,155,159,055,941,175,833,937,830,360,922,853,949,488,040,
410,020,114,635,916,663,909,603,938,497,953,202,601,448,000,847,564,810,255,
046,948,927,557,138,187,186,336,724,277,079,464,763,218,386,585,422,773,263,
628,142,153,435,629,323,635,820,959,661,779,167,949,459,451,066,879,228,127,
805,337,545,872,881,260,137,626,412,135,719,205,937,394,698,497,881,150,326,
998,888,184,725,697,580,874,438,802,099,263,097,599,268,493,918,825,510,866,
088,575,580,608,937,969,566,236,456,726,356,388,959,580,792,977,787,899,305,
982,617,806,211,615,298,258,885,849,611,006,312,555,020,258,092,366,182,163,
746,554,070,348,764,747,987,373,446,154,285,282,013,686,067,632,405,863,424,
208,405,830,681,299,719,678,123,034,143,204,019,789,526,502,917,545,558,266,
753,330,288,885,229,871,830,298,493,595,545,202,845,440,507,777,535,732,254,
087,584,923,831,677,156,625,791,692,600,079,682,546,231,896,154,467,826,368,
995,739,664,673,272,254,689,317,386,737,830,499,128,425,568,513,198,079,549,
946,527,337,099,292,235,584,285,698,205,855,434,448,791,666,877,765,371,548,
643,695,055,018,148,189,579,044,102,766,715,721,994,870,124,086,564,714,859,
261,520,192,176,894,125,711,221,747,699,160,140,782,991,864,651,659,723,017,
406,407,409,199,574,859,980,476,786,645,628,350,869,656,265,543,080,550,977,
034,866,630,967,997,890,269,878,551,182,686,085,456,366,035,927,393,618,274,
603,859,448,049,035,372,775,452,018,405,835,191,472,627,539,703,221,278,718,
943,385,737,327,659,572,890,344,246,512,753,367,374,695,684,266,322,754,860,
151,871,091,632,967,268,688,573,387,585,186,369,239,154,000,099,297,403,991,
066,921,818,891,431,144,017,800,554,286,083,746,755,622,015,938,906,091,738,
519,099,595,459,075,512,813,364,127,734,495,222,214,098,656,122,795,995,419,
978,395,926,028,252,921,495,453,962,651,838,346,972,456,505,227,811,269,766,
755,749,889,915,443,740,919,576,314,286,117,066,809,410,663,725,673,926,728,
516,960,168,106,827,572,465,243,931,518,385,800,349,313,589,260,647,816,300,
181,372,002,452,773,935,950,446,201,196,052,443,509,965,205,129,334,244,424,
551,162,105,693,170,910,543,804,884,996,447,624,540,742,455,327,326,534,729,
228,611,274,454,036,310,169,093,281,032,833,393,491,925,577,470,729,986,816,
193,928,289,052,871,013,701,288,570,942,445,324,931,968,794,901,786,575,967,
132,980,006,879,479,471,932,248,573,498,931,337,977,923,383,546,798,309,849,
744,503,272,147,209,498,431,786,865,199,915,885,139,906,149,085,438,288,841,
347,675,961,407,274,936,179,595,612,332,716,942,796,012,165,433,076,986,406,
011,860,198,484,029,593,660,224,349,863,940,408,501,553,103,409,559,890,757,
449,672,523,679,505,830,441,398,463,804,774,041,356,511,083,598,017,847,559,
509,443,545,101,052,200,394,588,899,928,683,936,994,950,417,149,696,345,561,
729,020,017,942,429,225,654,403,560,848,851,747,308,926,094,704,892,285,958,
650,431,825,478,341,389,984,126,153,845,712,439,091,704,492,232,865,570,876,
053,713,749,314,615,903,967,467,390,746,603,683,814,956,026,744,365,932,262,
083,908,285,359,800,072,632,977,783,005,976,457,804,686,814,552,603,677,449,
505,435,996,543,715,548,434,288,454,594,671,600,903,315,858,109,567,228,409,
032,309,697,699,367,578,843,127,721,249,098,915,330,675,685,013,726,930,648,
177,936,345,510,723,724,422,457,174,610,135,071,496,833,245,807,191,188,347,
459,401,074,537,232,045,760,658,598,767,044,246,472,229,753,059,761,908,093,
987,307,251,415,722,242,746,526,536,325,802,563,777,822,083,203,449,546,533,
727,825,707,220,209,306,250,428,876,571,717,798,150,453,736,137,978,235,951,
204,244,111,505,401,798,255,307,258,052,521,069,626,079,050,828,328,881,824,
407,154,094,165,956,055,259,385,921,474,294,476,283,926,202,546,384,841,743,
656,295,399,465,691,756,435,958,423,569,966,699,974,540,979,455,046,950,965,
735,038,828,561,386,978,016,763,745,174,464,982,493,594,184,273,148,005,526,
374,363,936,305,193,046,533,162,311,468,323,010,636,367,619,253,089,200,454,
798,156,742,401,463,582,439,153,038,736,852,194,687,063,063,681,220,822,867,
269,933,402,689,090,242,425,076,442,914,617,610,302,829,428,457,696,591,655,
196,160,269,304,118,324,388,383,777,031,194,968,724,457,236,218,388,704,966,
963,888,564,654,047,561,013,549,029,134,419,863,262,961,436,287,748,393,415,
527,197,541,239,767,158,726,464,736,970,421,995,320,027,689,081,539,138,316,
243,158,557,935,438,843,846,887,088,555,324,067,223,460,282,243,419,874,126,
448,833,530,808,138,629,811,426,353,768,575,507,726,575,124,921,223,318,255,
740,208,846,095,776,254,129,536,138,829,979,213,131,744,369,995,209,861,304,
501,422,052,018,729,387,203,682,268,005,257,805,917,618,724,448,252,532,910,
160,676,327,521,501,777,406,950,648,284,886,025,918,203,725,167,054,557,971,
085,832,333,992,072,809,255,510,443,234,415,940,829,893,985,769,035,640,783,
859,214,783,616,311,397,435,299,056,827,402,288,825,434,536,389,324,116,181,
934,102,732,831,155,139,869,791,936,864,657,313,880,172,748,302,078,594,716,
272,692,136,364,906,500,440,355,204,710,082,319,201,605,193,745,672,772,935,
375,481,081,505,052,673,656,425,850,413,962,032,411,373,364,726,922,426,365,
118,081,396,200,841,639,366,548,912,973,619,440,081,870,861,661,602,085,226,
700,580,916,865,414,344,323,093,801,558,034,478,509,845,053,458,728,400,720,
377,441,144,086,999,918,959,595,607,449,491,880,768,446,066,715,940,647,612,
039,806,649,382,275,168,339,653,030,150,812,056,095,479,425,993,071,475,479,
946,613,763,904,999,104,161,727,267,267,925,328,868,319,764,057,112,006,404,
094,348,941,450,711,104,262,836,630,220,706,029,095,928,496,520,187,517,922,
071,633,550,086,043,445,804,380,020,726,982,611,484,578,142,033,697,973,578,
294,261,677,327,184,585,340,776,431,560,626,791,462,698,882,228,113,629,533,
051,156,285,204,331,308,363,855,452,758,635,585,297,710,141,579,547,994,585,
625,774,907,737,803,002,782,115,084,472,453,598,539,001,730,430,529,636,247,
951,206,528,187,703,470,427,563,396,705,663,780,451,146,068,525,473,369,172,
927,943,914,579,338,761,895,678,511,133,707,356,874,036,733,609,773,564,153,
081,771,492,508,107,839,959,672,820,013,883,512,379,283,844,688,076,308,122,
169,145,314,542,721,017,213,996,664,520,181,159,683,881,935,541,830,515,130,
778,882,022,727,863,687,500,233,936,272,639,392,158,986,997,659,721,894,832,
131,769,054,775,313,071,153,982,519,506,304,206,863,853,739,757,443,817,635,
483,213,949,413,011,756,425,373,851,566,303,158,579,734,584,592,115,238,528,
692,430,501,945,132,523,841,095,976,682,273,186,398,879,680,965,133,186,294,
263,714,977,357,153,008,075,894,114,347,772,748,264,814,606,579,393,749,869,
874,059,289,631,620,982,065,048,104,592,863,611,019,520,776,439,608,989,119,
482,251,271,734,386,143,971,936,006,549,453,944,779,270,283,956,027,333,874,
818,923,888,318,717,023,060,452,813,165,884,796,530,644,263,757,259,366,603,
882,348,818,133,938,008,473,642,248,233,387,847,685,135,202,908,895,383,031,
255,628,988,892,108,282,921,644,222,539,939,790,867,115,638,885,081,309,451,
468,674,418,281,005,585,173,914,691,966,748,712,778,970,283,894,382,598,292,
136,638,858,198,669,029,415,078,518,112,399,568,042,941,215,536,406,538,637,
577,683,408,852,560,121,799,931,068,341,723,364,936,632,205,881,317,175,361,
575,324,566,540,270,270,913,510,763,010,692,476,611,208,938,416,440,904,205,
868,271,991,354,778,150,874,702,771,699,897,309,759,585,494,829,366,013,292,
652,311,932,197,068,449,683,852,811,764,206,904,414,960,334,762,723,816,629,
776,965,605,527,689,547,060,519,058,641,762,843,916,268,878,078,226,275,412,
183,509,085,884,786,205,471,706,924,947,459,062,986,675,951,962,245,633,654,
514,519,676,527,365,305,565,241,853,157,514,602,937,108,073,774,728,501,430,
810,461,084,697,568,061,369,406,262,409,273,794,008,489,428,467,660,975,567,
997,813,204,518,251,089,870,162,181,316,323,255,974,842,251,984,007,514,959,
244,095,180,849,652,711,685,588,140,765,807,393,928,559,900,372,961,294,426,
480,994,105,244,014,152,189,158,669,229,176,686,152,705,234,130,222,180,305,
966,857,893,831,940,417,170,683,012,233,987,071,067,872,939,507,776,533,688,
572,863,108,531,213,044,055,565,861,093,168,203,547,236,866,507,223,685,956,
114,825,222,111,469,432,131,093,674,333,755,078,484,123,025,931,000,370,396,
489,590,771,359,208,708,706,899,890,509,786,864,364,741,014,152,812,188,266,
906,845,194,168,426,605,357,072,939,622,355,023,240,788,529,521,312,696,495,
141,804,526,478,475,719,138,483,341,881,421,961,314,864,437,626,034,670,822,
822,032,260,704,333,082,213,228,677,545,683,767,485,169,259,248,692,896,598,
037,652,994,884,023,897,756,066,721,084,180,345,030,213,327,495,515,560,598,
093,312,360,961,145,028,240,908,045,149,890,104,077,805,876,253,244,596,692,
622,282,827,956,146,116,017,764,555,064,392,386,235,395,370,819,749,743,733,
553,652,666,882,902,227,573,012,040,066,509,398,636,374,016,296,023,046,436,
770,990,984,489,951,768,445,775,984,555,281,261,973,089,591,137,465,572,323,
529,379,218,246,286,318,328,596,857,363,377,672,026,925,604,028,118,642,354,
320,084,858,822,571,429,263,197,674,509,089,848,443,252,300,555,991,344,325,
175,110,621,411,180,281,663,328,002,351,198,176,740,246,057,018,191,782,267,
479,465,167,561,572,057,207,153,967,063,191,716,351,474,445,028,903,023,847,
479,541,380,135,412,491,815,321,773,678,176,182,457,276,104,642,958,820,970,
420,254,571,952,868,365,824,752,280,464,337,803,043,350,300,852,227,247,153,
880,378,108,222,307,268,294,342,968,808,690,197,113,250,171,618,398,244,895,
710,676,405,189,021,639,731,623,391,737,382,459,801,469,925,110,392,477,211,
737,947,591,782,596,767,813,219,309,608,957,285,686,634,952,488,899,702,070,
472,490,044,229,344,588,229,326,644,474,543,653,385,693,458,649,024,187,279,
374,003,215,690,986,160,514,892,836,706,765,964,382,448,668,788,733,179,857,
390,609,654,005,215,454,275,102,815,448,025,501,362,835,683,692,829,005,855,
865,763,491,304,343,239,581,289,511,594,561,777,353,579,703,566,037,980,299,
437,631,077,584,905,710,456,072,873,185,605,917,312,103,618,178,476,675,718,
013,995,865,043,899,832,687,342,437,622,319,516,248,774,114,636,580,897,610,
964,453,850,463,325,833,131,550,047,734,841,199,140,841,859,807,078,712,364,
887,611,889,486,043,664,504,077,033,533,849,164,948,170,322,413,914,705,811,
454,911,934,499,366,458,108,962,876,600,229,226,738,944,029,207,913,196,017,
049,271,589,627,126,808,962,499,254,223,583,782,122,996,440,029,982,210,467,
838,018,703,104,784,984,584,048,949,220,117,772,682,065,331,309,124,319,359,
387,173,302,092,239,965,399,070,469,440,208,574,031,625,133,051,238,652,819,
301,440,977,713,085,200,079,132,045,489,008,348,624,752,734,451,291,259,069,
586,596,584,122,347,340,976,531,645,750,084,139,479,904,641,866,810,414,080,
969,980,552,243,835,446,216,900,134,605,892,080,922,249,670,438,881,645,803,
445,194,213,214,609,403,343,202,802,507,887,896,623,177,223,191,440,203,739,
489,699,116,824,663,718,260,469,787,739,919,979,468,944,861,169,405,653,433,
810,463,637,103,390,906,962,982,308,320,811,471,739,124,148,899,985,418,768,
578,471,718,266,795,521,626,156,732,339,517,731,255,827,554,130,095,349,285,
110,923,486,759,421,550,113,824,926,778,998,540,291,372,557,619,142,634,337,
953,933,227,497,611,187,795,178,485,223,145,403,678,236,140,074,037,030,229,
938,799,768,232,606,621,095,177,356,170,559,063,021,897,489,909,171,712,064,
182,273,500,017,851,915,232,114,891,174,043,149,981,210,409,449,260,584,345,
740,639,259,462,782,531,881,294,483,012,009,992,157,097,286,300,016,667,309,
848,805,931,296,218,348,654,476,668,266,991,244,428,263,286,475,297,053,461,
818,844,777,802,436,970,031,977,534,198,770,713,653,037,990,576,592,397,145,
924,931,245,228,754,918,444,994,326,106,049,925,123,904,033,228,866,396,355,
570,788,844,041,262,004,451,872,039,068,777,887,567,938,439,281,471,446,572,
515,495,052,038,874,820,478,784,426,030,962,526,256,927,413,641,579,497,170,
392,305,151,058,022,395,371,144,024,699,895,413,871,295,101,912,691,562,965,
520,989,190,347,845,959,714,802,203,052,652,579,681,280,739,456,623,943,267,
106,290,401,826,937,576,612,487,813,179,015,749,663,659,939,521,533,712,915,
738,236,804,566,884,090,906,313,514,828,278,714,120,873,216,505,199,390,934,
887,440,620,078,607,739,310,906,089,310,790,300,537,476,689,094,038,368,822,
449,457,360,531,242,339,375,678,977,093,272,641,751,562,171,923,447,773,078,
788,359,562,034,574,199,802,031,449,038,365,240,979,578,143,877,737,319,545,
409,389,476,904,421,339,858,948,194,245,320,479,242,356,718,711,842,215,642,
041,622,356,383,780,688,438,469,010,439,202,390,119,992,123,123,925,811,751,
661,543,692,593,410,239,207,291,587,864,751,777,907,225,459,794,340,399,860,
104,510,992,258,740,279,999,889,700,083,897,574,263,941,697,773,301,434,854,
700,442,351,669,266,478,551,079,374,458,896,842,388,815,558,375,518,022,639,
003,565,084,807,958,407,492,809,883,447,438,664,361,071,795,873,477,444,708,
160,021,669,369,009,163,562,281,357,890,629,948,671,718,420,828,674,458,359,
642,851,204,179,237,655,123,386,629,058,405,071,854,023,072,620,420,894,347,
319,410,345,698,635,949,271,623,984,737,855,166,150,329,587,728,439,676,060,
722,109,505,887,225,498,363,911,389,162,485,029,579,722,620,787,378,335,736,
671,363,778,833,604,033,758,990,785,587,158,093,276,610,799,536,190,918,913,
354,121,936,527,166,301,408,857,039,639,026,965,577,368,577,013,019,731,371,
698,874,053,696,005,787,695,925,376,092,701,142,388,461,438,787,752,239,829,
866,926,367,318,998,847,338,367,300,492,385,796,351,670,015,582,419,814,965,
140,665,026,463,783,321,337,593,902,582,145,946,722,240,708,936,282,939,858,
764,101,779,837,468,168,234,182,614,918,554,431,319,043,528,095,615,978,755,
736,209,431,094,088,564,643,864,570,721,332,520,538,596,604,744,528,228,759,
315,813,964,157,758,559,634,968,063,507,868,255,739,146,073,796,875,368,911,
979,399,703,055,037,748,684,566,745,422,244,903,409,981,043,647,562,395,004,
672,313,672,243,347,544,270,906,539,537,431,043,796,152,137,183,891,502,560,
558,816,179,676,665,817,457,332,294,547,230,327,947,234,875,067,852,110,261,
504,822,000,293,576,067,208,523,235,556,016,185,242,582,759,799,809,454,642,
691,814,821,794,076,034,513,371,803,334,218,096,631,780,533,893,899,490,086,
633,339,364,873,994,940,749,466,987,122,101,534,932,128,153,449,790,600,980,
129,296,826,251,303,733,057,749,680,457,420,991,382,768,959,220,155,869,535,
171,257,194,915,747,470,200,612,073,722,605,291,710,542,819,655,546,613,803,
810,683,695,512,113,087,175,784,360,822,219,114,502,134,980,535,418,002,593,
965,125,019,894,640,230,747,644,394,985,104,449,158,242,909,728,382,321,782,
750,166,585,279,403,246,628,048,206,787,131,236,271,124,706,592,009,903,877,
476,909,233,706,051,168,139,945,780,092,030,337,363,264,358,360,472,688,384,
003,458,248,377,963,827,832,061,953,094,446,791,946,237,133,483,709,362,063,
438,925,233,008,793,594,500,973,249,975,939,151,192,322,796,073,526,554,732,
172,093,041,072,684,595,948,809,193,014,940,086,757,588,194,572,278,356,431,
971,076,567,634,657,419,256,130,724,042,234,411,781,661,065,665,759,564,698,
784,438,886,587,320,331,086,051,876,322,676,799,743,850,254,220,796,360,899,
975,062,294,934,991,033,490,219,245,091,952,114,998,356,230,890,595,445,753,
774,135,881,981,305,697,218,956,097,029,629,323,717,331,886,884,987,367,323,
496,658,327,648,717,208,699,994,341,377,240,300,161,023,187,073,419,754,962,
044,153,801,192,641,688,081,634,217,037,587,306,567,276,376,027,970,437,745,
215,964,580,274,987,395,795,182,596,267,506,033,622,837,395,189,554,544,959,
359,563,062,098,260,756,336,313,286,784,421,138,867,046,244,747,738,562,356,
013,039,543,371,089,815,265,305,440,700,581,617,532,956,577,130,820,634,156,
415,316,063,957,433,311,545,637,106,020,104,131,975,441,685,474,590,136,871,
065,810,216,563,195,781,346,383,947,003,972,270,884,604,368,279,063,750,191,
131,239,917,037,066,245,689,763,616,760,364,728,421,823,558,789,884,425,749,
828,972,551,654,745,418,750,138,959,782,744,916,370,012,792,720,433,361,649,
558,533,458,281,049,550,944,598,122,278,189,011,859,794,876,397,816,402,989,
460,371,359,915,358,008,740,031,712,022,809,404,104,976,515,109,792,205,885,
874,275,913,776,578,668,790,224,942,964,760,710,537,543,913,236,898,471,212,
187,500,878,906,568,981,969,672,868,947,698,526,591,435,943,292,793,055,876,
749,258,724,342,912,850,106,932,995,979,286,151,699,306,918,667,118,743,048,
545,860,187,088,442,920,544,964,812,981,988,871,445,494,262,334,914,186,090,
579,419,830,287,311,834,259,647,563,953,201,288,290,640,877,994,455,795,010,
397,147,445,197,595,270,919,422,568,696,786,483,174,524,847,678,936,412,765,
343,320,492,454,957,770,529,400,850,356,697,482,631,930,206,892,745,338,385,
293,869,139,897,215,693,530,192,800,148,935,254,128,808,263,686,033,279,636,
650,117,716,624,230,622,886,509,249,665,595,708,805,504,962,922,441,637,314,
882,763,606,803,875,870,508,638,504,286,830,200,303,232,548,933,242,598,859,
139,371,149,332,455,634,503,810,532,063,315,778,312,960,641,984,667,536,853,
969,330,337,996,289,166,140,507,924,302,941,852,418,512,412,465,117,659,128,
091,246,095,825,313,454,446,403,578,926,955,592,989,423,979,458,036,600,751,
401,320,177,357,030,969,271,368,870,467,857,580,978,842,964,495,300,113,300,
181,141,874,297,172,804,516,532,144,411,067,837,207,097,534,978,426,959,952,
069,179,799,118,336,085,779,921,415,244,689,537,576,372,027,488,924,263,393,
751,597,603,919,945,765,945,238,556,493,738,482,398,531,927,812,675,972,636,
649,176,759,182,522,588,251,213,231,937,490,234,568,363,588,552,647,567,482,
839,112,587,397,418,966,335,746,145,064,115,383,420,051,607,435,409,606,134,
173,354,832,167,541,373,717,162,054,377,122,111,878,636,442,709,351,281,763,
417,931,739,680,647,131,680,378,897,605,559,425,654,451,072,394,515,055,533,
826,389,894,169,635,814,626,801,263,368,571,015,748,259,571,028,985,512,159,
617,656,552,663,259,566,827,444,259,613,470,742,325,371,386,126,664,299,781,
436,793,898,827,863,547,226,888,332,108,554,940,084,725,707,471,946,798,876,
154,581,801,356,077,732,955,087,628,002,160,030,373,242,450,444,599,569,155,
112,869,491,238,701,245,536,997,170,962,321,224,144,153,295,501,949,064,434,
617,846,744,610,177,174,900,180,180,829,851,564,223,213,801,499,418,052,079,
375,941,119,174,940,189,543,969,743,901,706,982,055,621,289,773,843,776,282,
227,736,815,508,706,222,890,313,956,430,804,523,499,816,580,649,027,119,811,
087,953,888,481,891,120,202,574,779,336,208,879,891,384,647,516,886,802,636,
728,278,793,395,996,285,823,152,402,137,448,642,914,015,325,411,842,553,059,
654,092,684,001,863,739,849,778,382,927,295,869,720,068,249,011,806,770,665,
861,774,463,513,769,249,590,379,359,984,506,299,845,340,903,654,249,389,792,
787,620,071,231,067,411,427,161,451,017,562,302,383,240,877,817,731,721,809,
376,815,372,718,573,321,118,079,260,899,008,493,886,885,270,626,191,667,890,
907,093,406,811,207,837,358,537,760,450,526,806,585,543,574,752,234,163,274,
639,877,553,469,596,588,402,071,677,120,908,846,382,433,483,155,767,818,227,
808,103,069,186,459,312,974,632,673,079,621,143,713,045,793,455,088,616,427,
885,123,224,744,645,051,213,661,231,069,132,422,565,407,636,251,253,070,020,
193,217,780,862,155,742,750,586,139,122,466,884,099,734,086,897,902,070,103,
208,093,036,475,261,222,105,520,359,810,394,460,147,530,421,540,736,978,424,
543,478,937,050,392,094,947,929,041,380,407,146,607,081,921,110,046,251,139,
987,133,507,160,792,533,070,005,023,424,532,753,192,757,057,621,631,497,050,
576,984,228,210,183,528,838,176,770,185,000,969,485,291,006,827,974,345,443,
123,072,047,686,725,352,862,980,436,889,685,892,862,525,376,460,604,398,838,
081,052,689,065,595,513,393,830,185,719,999,661,600,615,245,358,959,283,949,
240,176,942,713,984,218,109,919,054,360,138,949,221,213,679,230,138,415,705,
406,234,590,049,145,619,493,684,811,586,473,955,070,889,676,805,679,612,434,
346,555,236,081,689,181,838,001,856,057,891,955,747,370,589,759,055,089,909,
599,237,372,756,316,397,037,175,553,307,000,703,175,841,098,854,530,942,214,
078,025,377,798,175,186,808,588,816,533,884,348,098,863,794,474,750,061,066,
121,668,756,444,605,902,086,730,589,689,328,564,812,431,910,167,256,925,685,
322,089,177,331,716,293,882,115,138,207,758,096,558,214,171,489,328,757,653,
590,569,759,400,016,966,685,324,196,661,597,578,512,186,164,808,722,480,549,
538,707,141,019,469,982,003,726,483,231,485,858,872,049,283,535,821,691,025,
756,843,233,614,502,523,255,922,498,173,985,335,831,192,613,464,626,299,879,
278,053,640,388,377,627,006,696,234,789,090,872,240,830,209,775,329,435,041,
629,792,771,584,180,953,694,667,127,390,110,704,174,798,072,829,431,586,341,
550,129,638,361,720,221,461,063,031,457,657,787,471,970,737,294,661,622,830,
263,358,447,775,561,691,066,444,592,619,735,188,419,486,183,009,568,578,680,
551,018,369,687,174,988,715,994,225,578,876,682,571,287,620,095,004,477,321,
255,267,562,381,143,341,317,358,618,185,486,944,602,249,143,035,273,836,677,
676,336,774,149,374,907,511,961,492,299,341,278,622,842,278,298,538,974,628,
802,389,241,355,131,551,781,116,424,839,407,292,160,583,859,300,789,377,043,
088,994,526,734,687,388,029,148,191,824,856,214,817,788,137,910,389,977,807,
909,809,518,586,318,691,509,404,627,609,736,810,922,109,830,639,610,524,247,
818,582,866,760,090,451,467,682,447,902,833,916,260,340,928,922,535,977,623,
140,348,522,049,074,568,492,768,697,926,009,440,725,974,272,470,960,386,830,
108,570,381,120,679,996,416,303,097,042,313,647,996,239,632,237,255,008,761,
378,127,246,885,810,235,219,279,269,470,930,741,082,118,637,046,681,019,165,
407,387,253,508,796,870,893,175,709,798,151,235,941,671,831,754,970,228,752,
011,691,211,247,527,655,192,407,881,598,317,588,328,406,755,210,377,700,093,
266,724,494,124,131,953,843,140,760,642,045,368,649,803,627,768,452,628,190,
726,283,148,677,640,717,102,094,386,012,676,443,251,857,205,859,994,025,941,
551,485,740,049,390,355,677,084,010,416,492,103,800,644,201,495,492,401,923,
338,918,349,422,547,195,504,959,823,702,003,914,684,378,758,236,625,239,081,
962,304,678,968,596,087,030,443,037,754,565,610,653,072,101,303,793,283,571,
387,774,472,727,806,272,502,579,329,977,165,441,071,166,776,852,997,749,807,
308,741,190,679,905,153,843,105,563,593,359,476,955,570,036,891,781,105,423,
089,304,987,119,007,050,144,702,016,515,640,852,152,376,875,141,290,814,283,
942,566,008,946,873,536,423,469,852,381,905,348,955,546,021,802,206,726,068,
292,554,045,409,485,099,331,932,339,658,759,496,132,410,838,852,468,073,804,
080,472,807,377,662,399,408,973,481,019,954,923,556,700,595,858,794,553,255,
493,434,113,146,539,047,564,812,798,470,653,111,812,008,360,360,266,878,831,
095,007,869,875,058,381,033,662,133,943,146,335,692,219,010,106,954,598,671,
247,469,456,123,388,917,101,023,514,813,682,496,406,124,327,859,691,785,790,
549,309,189,204,459,749,335,200,897,493,258,618,435,554,373,077,562,093,898,
448,389,739,122,865,807,196,468,393,223,720,238,440,857,976,143,927,360,543,
175,475,604,774,539,695,405,879,587,439,144,592,736,596,944,596,994,669,150,
959,201,087,866,447,536,779,378,720,765,075,133,372,531,874,137,322,748,687,
501,417,171,174,193,798,190,711,351,848,075,977,465,033,143,695,235,966,209,
905,522,137,210,936,682,838,914,654,101,326,621,932,121,341,758,310,226,716,
370,623,781,570,724,986,067,258,146,801,397,193,348,789,679,492,039,131,297,
389,797,971,895,081,385,014,984,475,680,053,077,389,212,453,356,988,894,990,
582,983,463,374,204,466,390,108,562,972,711,337,901,916,384,081,437,344,013,
066,341,463,905,709,212,537,663,597,795,422,449,281,565,104,394,101,291,647,
584,371,903,683,348,696,763,174,531,279,673,708,754,397,345,300,002,551,633,
352,023,795,038,413,240,808,532,460,668,114,381,911,100,861,384,750,419,469,
347,754,152,893,268,414,221,091,320,315,374,087,466,464,853,382,063,704,663,
033,800,972,067,600,113,369,951,672,678,468,882,615,227,592,484,546,884,837,
992,026,768,571,026,119,175,283,650,633,728,137,920,172,770,156,086,534,362,
529,217,757,349,871,107,066,332,625,649,037,116,531,060,144,901,821,498,799,
238,827,292,545,313,675,773,854,645,132,562,958,151,143,096,530,832,840,394,
870,139,092,193,781,633,582,773,598,893,031,690,992,843,675,619,157,612,529,
428,188,810,007,277,318,924,588,122,006,329,341,715,192,936,415,489,922,860,
749,740,345,009,460,709,102,940,423,889,584,772,070,272,865,231,117,700,114,
339,230,299,765,736,013,231,858,254,762,820,417,319,602,545,386,758,993,390,
645,434,504,975,045,061,954,710,509,929,445,655,773,655,019,140,625,028,874,
751,408,242,214,920,957,802,069,044,457,781,569,908,562,784,244,551,938,504,
170,726,481,291,591,006,094,847,133,128,949,609,188,610,399,881,278,496,959,
288,576,012,450,657,875,008,395,748,609,547,194,772,930,504,835,854,259,955,
642,724,367,313,800,230,723,863,864,791,153,484,629,054,520,213,136,711,809,
537,636,881,261,697,459,841,110,499,168,266,468,173,770,532,964,021,001,991,
782,645,219,080,718,809,993,557,757,135,520,838,524,896,607,362,175,185,749,
267,569,173,740,575,197,806,252,697,861,632,637,543,175,863,286,100,258,625,
876,977,523,183,075,572,616,371,947,725,048,346,331,389,460,739,695,563,677,
421,835,432,282,346,432,997,746,366,745,170,360,449,772,589,395,744,918,247,
186,506,813,394,176,682,383,978,352,583,839,849,632,722,527,250,030,438,394,
343,594,848,054,009,647,529,881,113,480,169,444,078,601,944,340,657,070,563,
884,765,966,252,854,142,155,295,430,368,817,961,923,042,878,041,608,356,021,
335,015,717,696,151,177,461,435,088,676,559,437,523,550,491,123,928,082,851,
846,269,730,324,561,959,173,027,850,787,725,485,319,126,691,407,645,438,234,
042,948,031,220,774,346,396,914,236,170,229,323,024,633,712,468,737,091,170,
696,121,769,725,655,651,016,264,953,865,876,517,897,374,662,645,352,263,971,
198,978,340,105,350,883,084,006,653,861,708,438,024,865,922,322,087,086,005,
776,228,839,030,774,134,350,539,625,336,828,795,483,036,482,709,366,122,640,
124,183,494,888,982,511,768,312,490,647,478,577,903,248,461,322,063,237,789,
463,635,516,496,766,898,801,972,347,939,503,771,987,546,361,288,114,548,991,
296,348,316,572,067,599,087,708,069,220,276,670,067,354,810,040,308,905,680,
871,716,759,204,240,636,742,137,691,475,589,680,976,108,962,319,809,998,643,
128,859,065,197,463,558,497,562,234,605,011,781,116,076,839,686,318,281,337,
114,002,590,340,382,027,383,625,688,885,623,178,992,788,590,366,271,719,934,
580,326,721,946,890,610,563,779,802,637,336,503,396,676,017,106,071,117,034,
875,262,266,768,932,132,052,612,436,395,612,589,048,035,306,435,796,853,692,
783,197,003,179,615,535,561,445,858,758,825,145,595,193,693,837,221,193,469,
023,408,428,574,126,281,302,667,941,893,719,484,708,233,956,007,484,906,995,
930,859,164,527,060,574,936,463,486,455,601,594,209,495,933,448,044,301,296,
979,442,934,790,930,658,525,035,041,248,587,181,033,774,323,843,190,366,246,
578,375,476,123,188,635,125,000,791,050,589,362,779,375,498,463,393,441,862,
640,769,985,473,799,793,892,112,630,668,481,454,391,009,873,453,947,737,220,
866,661,915,279,981,309,401,417,909,210,335,154,508,652,261,313,669,595,838,
835,696,977,795,567,878,792,958,945,486,543,254,571,636,359,032,418,065,530,
495,269,007,870,880,960,895,740,925,063,507,015,927,770,941,108,689,691,541,
350,097,197,547,673,209,442,309,770,373,155,263,203,699,244,094,547,596,239,
513,590,181,164,213,578,444,732,638,846,010,193,330,314,037,292,688,723,042,
871,030,462,760,378,391,828,925,762,860,480,888,839,720,814,381,931,396,452,
757,298,228,680,513,754,837,277,434,229,674,118,745,370,363,882,500,827,627,
878,016,369,618,610,628,283,515,805,205,796,438,956,569,906,060,483,324,976,
670,493,377,469,457,298,508,030,287,977,308,117,122,832,442,963,357,615,920,
463,782,994,220,663,259,719,817,343,509,079,296,732,440,841,113,213,656,042,
833,362,417,412,979,898,909,537,344,328,630,586,462,506,561,194,745,486,020,
449,323,762,103,978,475,379,728,737,969,603,461,184,957,207,979,329,239,314,
895,576,874,390,958,182,234,608,303,856,972,581,795,261,875,828,014,267,069,
339,676,108,438,559,566,676,497,055,717,143,694,701,584,412,198,460,330,498,
241,442,823,293,735,927,185,094,805,035,553,303,435,152,814,643,108,430,814,
440,694,980,182,565,179,316,273,201,809,890,309,513,283,468,493,280,971,901,
375,165,488,392,512,006,690,990,752,780,250,499,755,946,788,609,889,231,753,
999,062,301,348,532,942,165,641,899,204,809,607,848,860,778,046,095,323,447,
174,218,493,402,475,502,236,108,693,242,693,098,714,753,767,027,766,746,010,
568,151,181,359,574,465,545,259,609,101,616,993,546,295,974,511,104,543,539,
720,097,939,825,356,981,747,258,127,132,627,982,236,607,593,811,504,834,313,
552,168,713,492,901,376,926,703,733,616,821,626,303,086,460,977,524,172,761,
960,105,052,794,711,924,144,695,079,155,668,261,829,437,009,981,699,615,844,
982,830,526,567,274,759,681,150,457,084,479,499,286,960,119,347,067,554,205,
626,782,457,438,229,483,437,261,770,518,044,121,407,047,682,844,516,011,933,
092,493,794,160,269,929,594,082,813,680,445,926,556,871,341,990,942,869,843,
115,415,284,450,942,444,163,129,504,416,173,858,470,176,175,726,847,193,644,
147,526,365,169,384,039,101,547,216,092,626,632,198,603,734,289,573,007,035,
918,206,642,890,688,399,151,515,036,952,127,976,487,582,380,507,318,955,720,
348,047,348,836,037,563,750,363,875,020,839,429,964,977,955,567,877,931,483,
388,880,404,729,321,182,954,161,931,774,960,746,798,442,614,687,029,985,610,
051,749,533,326,805,875,158,481,834,805,003,016,888,526,209,641,283,257,988,
085,718,269,691,636,858,886,349,638,645,967,942,477,205,648,952,949,282,521,
799,896,202,862,428,312,505,266,507,262,545,136,946,019,320,203,393,467,809,
738,138,195,651,654,276,339,074,890,464,658,852,733,006,448,266,317,082,111,
551,102,125,383,928,009,238,072,584,963,687,285,423,748,907,698,475,992,495,
091,789,844,888,923,478,180,017,596,350,097,670,663,028,112,739,175,167,955,
777,809,065,888,288,804,598,919,247,215,064,768,265,165,370,557,729,628,039,
536,949,950,364,899,793,998,160,733,264,774,395,877,631,551,340,509,239,268,
782,566,984,916,812,858,708,389,483,793,807,573,651,516,276,763,919,437,741,
920,977,476,653,495,882,023,526,582,225,686,591,713,999,899,074,423,221,397,
994,907,885,616,164,438,728,333,762,491,740,424,339,835,831,716,651,195,389,
251,221,772,463,671,069,173,778,316,304,294,150,584,222,559,694,734,278,855,
078,064,621,356,142,550,411,765,864,559,746,999,712,133,088,740,012,650,374,
882,026,845,186,812,201,063,267,443,280,966,054,853,037,571,212,684,117,301,
521,855,689,383,599,998,810,610,708,736,021,844,549,947,613,173,003,488,486,
166,368,482,483,745,401,276,918,106,909,625,063,949,143,083,760,649,757,671,
007,021,948,281,980,087,013,671,802,132,992,912,740,792,025,718,632,143,840,
407,414,564,217,603,216,868,948,855,909,396,016,329,520,573,402,078,917,050,
246,590,518,397,092,794,955,332,208,407,344,991,178,258,539,397,390,669,089,
024,581,682,932,957,697,343,296,855,143,599,926,743,244,584,161,385,129,404,
245,673,769,232,583,867,128,094,120,199,550,172,549,887,427,601,145,365,323,
034,351,755,022,451,535,894,162,473,320,972,149,413,248,988,111,304,610,635,
070,223,629,021,920,097,353,570,743,734,183,960,073,303,152,683,269,184,046,
065,234,909,824,191,200,413,210,113,349,854,377,545,200,526,609,826,534,246,
914,172,930,264,208,613,204,194,974,103,988,600,902,275,380,738,371,960,983,
410,257,552,253,615,938,150,227,426,115,698,747,558,486,632,076,371,577,213,
460,339,386,780,404,534,504,512,438,913,092,407,652,468,680,837,372,952,740,
399,346,294,755,161,099,559,861,182,121,734,672,878,180,262,659,606,008,148,
403,788,142,102,682,012,366,642,778,334,922,492,516,537,438,433,736,834,641,
201,423,840,693,709,833,354,667,345,846,184,453,482,952,016,010,404,520,680,
880,857,445,563,562,131,306,511,219,882,584,376,072,349,979,732,429,283,529,
260,737,931,377,784,087,297,531,237,303,173,910,722,036,865,181,301,720,216,
274,916,962,332,614,738,548,928,830,057,976,948,655,209,618,365,448,007,437,
008,830,594,536,488,979,202,516,832,168,823,542,941,212,239,379,948,830,591,
152,459,624,101,843,317,725,674,816,123,095,234,591,769,154,714,166,698,672,
115,249,569,514,466,614,942,070,614,050,497,194,798,775,376,023,704,956,594,
156,183,748,942,183,355,442,905,358,485,473,059,117,370,980,994,190,142,645,
184,095,616,691,552,872,231,514,424,400,492,547,674,677,761,497,415,073,169,
606,072,713,944,121,044,681,605,765,334,203,267,085,059,073,730,685,494,345,
206,781,918,524,740,546,354,467,227,799,299,632,639,304,597,281,816,754,411,
009,142,221,303,083,590,530,285,443,594,066,956,688,585,037,490,982,238,749,
944,101,331,839,531,038,785,343,082,174,648,232,266,439,194,898,574,785,660,
967,623,709,079,967,320,363,734,183,685,328,380,451,026,051,052,408,535,861,
080,723,551,408,616,445,634,855,884,731,176,507,230,457,048,845,003,971,338,
022,164,946,364,309,920,634,089,098,836,654,805,276,047,243,322,482,304,971,
241,499,162,779,910,472,590,745,869,085,851,415,088,568,435,431,400,515,789,
268,367,085,936,817,373,573,441,487,160,748,883,338,676,624,494,836,852,998,
565,628,395,853,399,118,700,285,417,140,712,875,550,394,377,422,836,387,673,
681,514,927,974,394,195,514,718,990,996,933,497,902,987,761,860,927,303,573,
526,189,028,352,503,957,746,097,664,747,512,039,229,371,490,167,642,609,768,
273,538,021,759,011,671,859,078,890,944,195,577,595,063,485,504,034,763,539,
631,744,646,777,869,106,443,954,942,043,903,822,215,594,752,196,343,994,005,
435,994,599,050,400,802,479,998,287,183,182,407,200,200,991,638,403,368,057,
663,822,912,777,586,056,936,367,966,668,787,644,934,528,126,273,652,861,935,
328,626,551,013,511,906,684,390,283,342,367,837,194,224,198,818,197,256,294,
980,254,467,209,003,614,193,004,034,362,475,676,963,395,136,414,325,186,453,
399,264,924,963,086,235,063,405,781,941,483,641,498,653,648,954,095,112,953,
508,957,060,115,029,645,012,272,489,631,844,240,092,055,994,557,068,742,918,
013,112,087,508,672,691,951,773,135,503,255,971,856,001,125,160,673,290,351,
901,802,188,239,917,072,162,153,092,269,529,745,556,540,514,612,652,925,492,
799,746,711,150,206,643,882,563,569,041,057,823,503,197,856,709,372,716,364,
190,748,111,480,739,975,156,258,175,188,747,230,643,701,798,942,897,184,095,
709,903,368,068,315,412,949,446,482,486,140,837,880,327,978,895,657,761,847,
962,351,776,161,415,244,989,814,785,149,251,590,368,613,366,953,152,423,486,
805,319,459,369,073,770,758,877,638,895,343,446,052,533,576,564,430,260,339,
108,672,998,917,150,636,180,725,924,150,400,770,640,027,739,284,767,057,104,
649,272,075,818,357,807,027,610,534,045,471,280,592,551,586,846,156,642,953,
432,927,361,400,940,222,178,010,284,152,550,909,839,513,345,775,474,382,562,
805,404,859,976,567,410,691,659,543,166,527,213,380,032,986,526,570,067,992,
520,637,258,882,382,736,429,582,052,165,279,288,348,350,572,285,249,440,771,
996,003,127,550,008,295,294,453,775,376,279,077,956,645,205,755,576,445,547,
744,808,322,463,742,802,885,825,736,943,480,421,297,958,518,243,863,454,948,
858,077,624,437,535,840,824,201,329,746,224,859,701,378,351,267,805,926,260,
203,733,002,659,832,113,303,609,088,565,262,506,513,111,709,903,428,777,270,
693,001,942,036,897,528,727,001,788,318,831,866,551,439,794,477,929,654,564,
343,433,686,756,057,725,934,386,276,975,598,191,870,288,920,493,837,673,557,
210,931,886,736,395,279,000,759,857,426,495,931,083,483,408,847,929,759,529,
119,675,421,679,993,712,247,645,356,596,269,731,725,243,922,703,877,930,584,
802,686,057,410,215,395,704,780,441,389,786,038,750,039,965,012,868,474,519,
413,356,681,740,625,138,897,364,921,315,470,700,139,439,574,762,061,691,026,
107,066,366,137,006,743,958,487,771,972,784,107,158,731,313,995,238,659,664,
250,452,538,042,867,651,327,456,839,612,555,453,312,322,261,174,642,327,652,
288,963,512,301,153,939,115,371,660,467,010,982,497,400,518,136,242,224,821,
658,030,824,592,617,906,770,471,358,217,939,335,001,706,674,659,960,364,461,
513,450,995,303,605,096,535,231,809,243,182,880,010,978,532,997,714,265,340,
523,377,215,454,877,677,552,353,699,007,494,075,124,200,000,059,241,546,114,
017,380,248,238,049,443,818,409,004,198,757,737,742,642,773,780,524,315,872,
063,288,689,736,161,353,554,914,748,341,210,058,989,684,219,900,447,869,284,
025,061,503,469,686,671,222,621,562,027,132,244,925,698,525,925,344,267,739,
567,509,290,203,731,979,769,547,309,809,547,335,059,293,689,984,980,602,437,
587,320,802,596,424,148,755,574,610,501,896,285,811,292,400,161,951,548,830,
685,383,405,701,226,987,719,877,494,209,800,760,820,798,104,109,392,450,601,
228,479,391,007,193,080,920,045,969,407,066,249,217,476,997,891,710,053,862,
540,371,032,387,906,914,173,123,964,418,792,781,290,070,980,515,019,258,128,
341,888,033,833,112,926,134,501,748,536,074,100,714,188,703,965,930,797,448,
107,434,624,546,051,245,933,899,535,055,732,945,059,237,873,229,293,513,979,
435,974,943,502,521,338,489,170,041,911,880,200,067,479,596,397,436,038,615,
731,199,633,220,469,729,541,922,762,500,113,700,535,825,381,673,989,992,581,
165,244,317,721,284,632,825,960,910,933,177,257,753,465,930,127,410,926,285,
233,614,410,659,395,986,194,549,394,622,627,305,830,618,942,442,238,328,888,
228,866,045,310,138,917,487,312,551,855,833,361,929,301,246,583,327,727,420,
413,062,376,672,020,477,055,065,377,035,597,793,958,893,716,478,795,872,752,
305,733,391,307,556,278,610,977,876,809,473,824,067,656,763,223,799,346,702,
121,463,189,109,854,840,998,126,799,760,249,584,092,814,584,304,778,770,997,
837,422,916,704,966,291,089,626,143,126,872,703,533,712,480,155,744,616,653,
502,802,706,314,406,617,207,657,373,100,973,106,009,577,026,434,400,701,932,
645,055,065,568,484,216,129,304,200,427,125,626,259,725,955,325,811,064,516,
210,378,602,938,061,392,300,232,975,554,421,253,026,406,292,855,633,686,272,
988,838,365,189,312,550,401,530,993,513,148,611,618,646,986,978,307,503,222,
554,311,860,036,365,288,509,873,419,894,876,098,779,707,276,997,864,015,681,
873,541,180,705,278,874,111,118,710,748,725,501,253,138,377,374,649,668,230,
838,255,623,665,295,267,795,211,560,222,849,918,663,029,266,335,743,921,615,
962,115,646,808,596,206,389,458,434,921,400,529,303,124,825,330,262,428,038,
475,497,886,591,829,974,559,757,598,975,413,947,009,316,317,363,535,715,937,
948,642,112,231,696,203,490,621,498,834,415,931,144,853,868,943,310,746,711,
954,537,101,237,208,634,983,813,960,541,833,747,614,573,581,380,663,798,707,
391,608,799,308,146,277,817,105,666,380,356,573,644,120,745,559,433,255,713,
509,878,391,279,426,048,407,832,043,773,625,887,400,742,368,598,634,639,700,
935,725,728,455,963,533,034,482,716,246,240,741,859,655,603,020,985,254,648,
705,888,933,121,932,482,870,971,126,250,916,980,169,841,689,080,451,871,865,
946,916,921,968,571,459,202,826,939,516,808,225,144,094,874,857,361,255,596,
273,575,820,974,296,070,524,984,235,093,627,490,897,792,106,047,691,816,529,
391,357,096,730,076,680,716,496,383,875,317,642,423,380,672,771,040,206,773,
595,083,302,332,127,473,930,551,095,110,160,381,303,962,602,549,490,089,342,
962,143,667,761,959,925,735,225,499,877,470,025,216,529,190,731,104,779,506,
691,182,369,696,847,311,084,574,677,245,730,907,138,245,022,785,694,376,043,
424,951,496,833,546,883,374,567,570,965,978,096,842,650,337,373,435,210,244,
432,460,304,424,983,188,927,632,966,555,668,454,456,899,559,840,941,234,803,
645,911,811,075,881,156,183,981,821,609,182,011,917,562,588,228,168,277,726,
187,574,171,294,714,018,399,723,051,681,398,233,120,702,008,785,384,216,403,
964,618,980,823,558,746,374,425,811,373,259,134,816,917,020,620,226,937,582,
177,655,341,062,158,531,108,353,747,573,634,782,701,321,703,379,669,049,409,
522,309,480,618,672,229,453,081,088,611,522,957,386,657,079,271,497,698,042,
133,470,713,865,130,911,062,154,062,425,584,177,682,650,161,483,870,404,113,
856,802,700,366,532,351,307,336,780,420,210,959,442,986,884,540,971,529,656,
814,302,615,136,039,447,443,165,183,225,627,687,220,025,505,527,961,992,160,
102,864,585,919,391,035,878,652,853,056,628,118,346,304,968,475,785,197,357,
212,742,315,161,883,122,311,651,683,586,125,459,265,933,134,802,571,771,220,
113,758,939,268,354,693,188,281,583,461,316,070,335,523,854,056,170,308,436,
941,278,757,388,673,073,127,227,850,686,501,864,149,697,749,495,450,657,429,
015,844,770,923,868,881,537,138,130,179,432,824,271,310,891,080,784,453,758,
476,495,104,145,425,315,913,110,369,041,129,984,671,278,551,918,551,168,465,
316,510,529,376,432,969,167,938,576,513,844,625,494,455,260,244,154,304,612,
374,305,219,181,677,743,879,969,526,041,821,658,237,000,800,413,585,406,155,
432,344,701,345,701,716,166,211,496,947,675,607,300,140,895,350,249,048,680,
063,576,822,835,652,302,481,122,569,693,783,480,585,740,289,843,748,855,979,
968,010,069,619,648,443,118,733,419,325,258,678,322,455,473,200,061,386,639,
831,781,945,171,547,429,950,052,828,418,418,740,409,944,047,422,934,743,540,
177,409,887,972,689,275,928,571,485,837,271,589,349,326,374,328,298,553,249,
794,306,212,456,091,636,582,385,811,825,572,977,967,789,152,412,331,351,032,
000,933,280,147,534,901,562,801,079,778,335,815,776,383,648,862,974,292,116,
900,503,584,560,959,877,329,567,134,305,235,398,140,926,584,952,830,588,300,
756,422,363,931,861,049,229,849,663,283,944,375,275,596,976,953,946,846,496,
460,274,329,708,786,249,125,033,523,259,568,009,431,142,108,362,380,092,936,
512,144,346,036,887,519,662,277,969,608,120,771,668,595,424,601,443,838,356,
703,158,724,210,866,271,487,009,689,580,544,629,545,293,886,014,401,799,421,
145,021,841,567,434,998,339,922,680,189,307,356,416,410,346,370,624,728,497,
799,999,643,281,443,801,752,482,823,189,397,403,233,732,347,906,536,953,574,
512,231,052,475,768,409,598,396,990,494,911,622,078,625,578,600,018,973,806,
126,139,196,189,954,995,977,368,200,223,564,384,115,781,893,426,343,508,798,
139,775,858,007,419,210,415,521,848,232,132,737,540,286,748,789,790,261,847,
538,920,536,707,297,049,375,527,021,053,175,246,345,538,143,917,414,510,203,
441,523,218,541,222,678,449,342,787,408,098,657,708,756,117,283,137,797,756,
964,099,022,615,602,156,741,602,999,284,821,467,442,680,960,963,025,820,199,
345,468,615,313,570,896,747,517,902,867,906,273,086,373,913,685,393,270,813,
878,639,386,689,924,688,069,606,534,571,103,897,205,005,949,838,180,624,220,
424,660,810,522,840,705,328,294,512,128,789,202,310,461,710,180,572,161,183,
159,593,843,896,246,926,841,810,992,990,213,115,714,380,634,438,875,361,292,
800,132,381,559,948,699,321,023,211,440,253,016,426,622,980,294,059,888,205,
351,495,503,910,102,580,497,786,535,965,894,535,115,800,555,435,878,349,537,
893,873,625,004,821,684,064,057,578,625,900,284,805,753,809,538,320,178,610,
848,074,906,313,121,010,151,343,280,040,105,220,631,267,146,758,561,003,733,
742,292,608,309,474,828,839,821,914,765,673,993,360,933,214,718,299,576,506,
454,222,270,837,265,677,556,403,853,537,407,754,150,329,070,924,159,577,884,
201,468,480,201,592,876,278,610,638,220,305,447,320,275,522,705,008,747,371,
849,212,484,402,799,976,274,482,499,068,966,976,481,790,920,785,866,187,852,
826,951,176,030,140,646,390,180,826,093,692,233,796,147,102,869,040,883,717,
498,482,397,762,167,578,650,456,233,826,633,077,555,878,876,001,150,698,459,
906,913,735,199,946,727,827,465,640,325,969,857,052,875,465,674,757,580,134,
588,753,209,798,307,052,544,368,206,288,343,899,946,130,698,647,501,328,197,
991,480,458,084,921,678,258,801,040,373,081,111,253,637,521,363,592,538,051,
740,232,068,701,871,295,473,077,325,649,191,899,768,286,262,270,962,764,671,
120,960,460,571,582,331,765,530,958,417,321,192,250,851,165,584,222,142,920,
577,595,271,806,097,292,590,798,944,554,592,592,325,243,382,273,881,748,089,
825,123,071,382,525,018,290,808,636,646,715,192,282,332,639,887,810,917,232,
636,770,819,509,994,268,893,206,415,081,371,165,198,241,902,043,283,367,982,
895,855,642,911,387,061,104,629,876,925,350,134,713,640,337,698,970,841,649,
551,983,824,569,527,301,420,803,625,676,270,500,147,132,009,689,734,306,238,
478,061,747,590,432,877,641,404,286,353,153,275,375,933,736,332,908,158,294,
061,467,937,704,739,015,886,556,392,148,942,277,281,216,209,139,089,658,592,
901,822,298,991,961,443,291,871,470,134,409,822,043,304,455,127,177,942,052,
672,630,007,495,271,619,017,136,056,685,347,739,443,610,279,314,377,622,131,
397,005,088,140,556,183,274,060,895,423,321,642,219,238,487,490,350,354,714,
667,150,807,846,686,157,885,987,154,721,240,767,344,494,279,657,413,054,969,
432,289,907,428,169,890,954,794,285,706,937,524,813,909,921,233,217,262,392,
663,933,158,818,459,790,224,894,399,393,263,749,025,215,636,256,817,179,304,
498,746,427,192,778,806,704,786,915,947,746,766,141,586,253,273,697,202,635,
226,514,480,279,231,543,361,696,131,195,407,056,570,793,050,207,405,919,804,
635,627,074,719,455,328,737,481,743,159,056,835,186,323,074,267,429,168,729,
783,726,026,839,865,498,683,335,538,884,645,182,763,938,231,050,548,058,848,
083,205,156,909,791,837,308,820,226,161,090,954,597,196,797,988,729,499,304,
328,493,330,761,362,755,507,463,061,951,950,494,220,269,563,156,630,946,784,
202,321,215,849,997,790,456,048,883,861,443,729,414,133,037,936,824,283,399,
750,681,359,216,215,295,069,328,552,078,232,010,166,451,834,461,231,699,377,
447,331,370,115,352,648,506,633,898,956,051,744,442,273,311,794,335,658,756,
314,475,241,763,107,501,533,976,492,514,276,701,461,796,812,927,471,155,061,
594,466,492,300,346,859,362,786,154,179,454,668,229,614,377,417,884,582,372,
434,814,370,420,277,274,477,582,051,382,472,228,427,394,309,883,671,531,741,
476,520,404,284,481,996,328,691,249,565,516,283,029,187,660,261,350,525,967,
876,693,381,148,984,164,874,514,753,752,897,510,694,143,117,283,820,229,614,
015,419,806,892,427,533,548,491,111,090,463,942,350,792,918,427,895,897,659,
573,960,467,401,198,230,516,658,496,840,296,029,703,843,915,316,051,766,221,
483,211,245,245,126,500,987,780,784,999,212,995,512,104,973,543,352,027,199,
137,974,221,535,473,115,005,364,345,778,194,169,114,160,665,591,217,286,143,
145,732,582,233,101,832,688,226,201,247,517,396,830,961,212,751,494,119,818,
832,231,720,362,616,900,373,667,763,803,524,473,559,139,110,713,377,701,273,
735,380,357,421,804,692,115,613,915,441,773,958,438,668,414,909,544,433,825,
273,280,866,569,860,792,320,075,699,918,353,583,016,270,061,411,710,640,751,
327,682,154,563,618,674,647,154,829,720,843,243,318,180,558,382,561,154,615,
332,565,637,506,812,636,317,477,087,122,365,431,036,073,778,751,738,985,043,
375,319,992,211,584,229,273,324,644,281,100,145,988,806,330,329,554,168,243,
576,907,120,423,482,312,218,294,851,325,292,339,054,557,683,333,126,833,712,
034,145,393,352,542,836,148,011,917,480,443,555,944,519,936,095,617,249,898,
254,258,080,483,011,913,305,780,677,911,611,387,069,771,791,370,679,350,235,
231,758,109,738,422,028,736,894,296,201,460,467,244,881,793,552,932,338,301,
238,190,761,643,544,468,921,559,720,429,992,346,587,133,078,037,543,830,904,
546,407,528,955,133,119,862,993,487,620,860,194,291,176,765,401,660,302,467,
205,860,984,499,914,173,280,703,952,567,138,908,165,940,890,096,553,614,956,
762,785,236,899,022,855,591,697,906,854,830,546,233,481,606,594,516,970,934,
675,219,526,325,323,961,286,170,516,931,563,833,299,774,396,165,239,599,818,
035,540,516,564,707,934,662,231,331,672,426,514,879,555,327,471,547,383,936,
427,303,948,330,951,135,358,043,085,720,868,709,714,423,088,983,981,762,792,
937,094,156,622,228,467,176,254,263,809,105,585,499,605,202,589,069,329,552,
438,426,617,931,178,349,399,123,177,515,079,430,623,947,442,416,660,073,823,
603,416,058,050,017,267,077,204,385,518,548,462,814,941,565,884,363,401,983,
716,954,823,126,165,120,819,864,804,863,344,151,743,132,206,041,991,842,496,
156,553,272,241,542,432,987,694,417,708,197,855,112,747,725,760,160,883,983,
484,780,495,459,927,571,890,081,704,088,315,818,291,655,661,699,919,928,578,
588,540,352,422,082,799,761,409,597,080,004,781,489,688,943,271,966,507,632,
908,673,482,404,468,692,814,570,576,429,386,274,242,881,636,427,778,564,793,
916,591,681,367,570,426,446,747,425,523,224,187,063,433,310,012,774,365,648,
829,556,601,132,042,473,344,900,520,733,021,907,562,293,804,937,581,376,664,
882,062,622,025,473,981,951,168,803,084,798,044,698,307,180,095,530,001,370,
212,108,359,994,661,008,237,192,056,828,611,764,226,462,939,981,527,095,206,
364,281,962,134,991,516,100,154,310,917,806,444,754,953,989,139,366,311,732,
370,450,167,422,859,073,477,098,710,164,584,299,209,353,754,300,532,714,422,
369,463,198,333,556,029,186,334,455,496,549,102,620,579,480,688,851,213,886,
742,434,063,789,965,299,609,664,977,800,979,343,954,165,853,506,478,685,916,
232,605,295,975,196,370,586,956,088,507,564,221,963,645,406,852,374,549,702,
815,073,895,683,786,880,115,098,199,734,121,105,403,075,740,469,663,241,746,
912,922,823,938,044,014,627,863,639,046,568,223,838,191,677,492,000,510,930,
654,074,848,928,286,263,775,415,321,555,077,757,014,096,413,370,537,363,531,
514,086,414,400,919,629,607,442,114,123,310,103,246,787,407,156,175,234,875,
526,685,054,153,438,475,906,245,333,966,595,813,290,560,701,349,659,920,547,
539,651,702,840,038,543,643,082,055,586,630,364,990,616,850,967,476,986,559,
738,444,937,559,028,666,301,158,024,369,202,226,809,013,340,089,078,062,288,
998,051,378,922,138,934,785,317,757,696,352,574,773,571,595,387,006,023,484,
339,373,259,208,709,920,409,128,734,951,700,459,834,342,771,908,101,285,542,
753,898,300,253,186,078,190,010,602,544,776,615,844,376,028,252,133,650,108,
957,547,410,117,607,767,128,947,975,776,421,687,532,564,535,791,554,252,904,
127,351,222,417,661,074,429,943,763,964,902,720,939,420,580,257,834,031,729,
577,185,816,130,666,362,582,145,635,923,872,052,752,435,497,103,889,951,940,
954,082,084,483,599,444,929,478,226,876,923,569,180,204,123,536,478,613,882,
553,683,114,851,884,522,295,642,160,247,215,661,372,432,299,115,957,324,407,
162,233,555,759,051,993,531,042,587,661,248,737,987,466,416,420,616,625,707,
850,229,736,592,181,472,441,270,264,119,639,899,769,619,506,217,042,785,089,
224,696,944,449,876,065,763,524,755,993,424,189,488,816,616,763,446,023,916,
039,185,635,666,118,551,556,413,160,429,996,383,825,756,880,499,772,856,402,
545,957,464,036,116,997,977,531,099,243,656,943,237,590,506,740,675,459,617,
014,885,705,153,269,958,942,978,627,487,838,482,008,457,368,527,102,727,327,
836,781,849,160,156,993,973,337,549,832,283,377,521,552,558,482,321,653,588,
593,170,660,152,720,209,425,925,435,470,904,750,194,187,512,573,058,661,139,
187,449,550,147,767,829,836,499,114,853,731,067,077,078,701,279,755,925,052,
661,923,984,436,565,043,516,611,412,934,082,045,233,365,826,125,942,874,209,
322,486,848,623,943,776,945,846,090,523,307,804,431,471,750,710,719,917,795,
806,852,120,982,241,488,628,619,582,657,329,189,554,931,722,119,947,210,946,
941,639,317,326,565,190,995,482,112,605,647,802,657,704,040,135,772,933,986,
215,189,508,271,483,957,818,643,259,347,211,946,091,665,674,661,251,893,112,
349,778,174,980,915,358,286,827,667,448,881,311,765,075,556,751,199,682,025,
852,244,092,256,301,712,601,204,532,300,891,083,169,998,155,615,425,764,844,
991,860,764,235,528,532,228,306,131,086,522,018,710,714,493,817,122,653,247,
974,068,520,384,433,510,018,591,996,973,149,505,987,364,264,713,888,578,358,
809,954,663,221,570,732,219,642,244,054,245,853,644,406,996,603,124,226,463,
427,273,125,620,526,517,509,229,603,153,930,802,487,522,506,300,502,174,871,
358,567,668,646,144,636,777,704,454,872,626,198,233,648,106,093,809,473,404,
838,088,566,081,735,268,941,822,726,108,024,837,843,539,100,028,214,984,876,
213,408,459,955,544,115,058,745,635,196,868,689,435,796,106,651,457,368,153,
446,376,954,235,569,709,391,012,622,181,124,814,682,573,048,334,922,506,148,
618,191,809,736,413,260,521,407,065,849,933,799,364,402,066,562,203,004,580,
968,093,805,231,456,581,569,603,395,883,922,761,219,357,394,816,888,921,623,
921,909,047,584,273,257,721,572,324,849,746,420,126,987,152,911,787,270,571,
495,591,703,987,481,384,660,112,295,454,678,680,104,702,814,844,239,107,876,
415,777,059,713,515,411,206,278,465,071,806,077,877,844,295,159,824,280,695,
446,597,151,233,002,504,270,539,234,535,213,317,065,856,726,283,972,795,879,
545,123,969,942,187,263,433,690,047,693,846,703,123,827,110,655,473,732,192,
025,332,432,800,242,120,902,636,634,907,760,236,419,906,084,430,343,981,428,
773,295,070,844,037,628,689,934,055,536,908,331,241,089,042,724,667,093,254,
355,112,126,388,898,150,123,970,006,438,815,823,869,765,559,662,742,114,950,
757,489,240,844,264,700,113,089,199,395,112,006,520,094,274,391,442,685,716,
017,394,934,286,017,526,764,345,100,829,015,875,209,676,943,758,939,223,126,
219,411,004,109,405,732,004,031,000,092,743,247,511,876,967,543,642,087,485,
660,235,076,262,779,213,292,282,189,731,253,546,703,879,945,390,772,335,853,
163,123,596,976,950,409,249,360,938,300,782,357,226,890,888,085,334,802,313,
564,422,476,615,872,522,813,499,412,696,583,755,740,214,026,895,546,592,086,
096,530,778,155,604,912,560,536,795,607,913,432,899,328,979,949,505,365,177,
127,212,394,760,800,303,590,996,304,606,149,572,072,275,733,751,055,809,142,
906,139,089,663,736,651,182,380,979,450,794,274,735,626,192,266,412,649,953,
570,125,578,497,515,957,814,294,381,483,295,541,140,081,469,485,205,590,139,
380,966,373,916,453,438,225,164,554,771,870,861,384,579,307,186,820,132,102,
188,860,643,839,298,518,495,104,436,472,969,785,996,680,430,795,441,625,203,
572,498,264,609,224,330,779,687,547,307,864,165,087,996,304,402,606,966,615,
459,808,474,692,093,621,712,608,264,046,219,963,279,215,999,757,405,041,775,
011,746,455,139,402,141,997,620,045,371,855,191,658,956,974,006,331,215,069,
022,631,766,330,336,930,173,289,027,717,572,333,444,407,587,725,345,261,819,
021,143,215,675,854,241,750,387,162,469,517,999,582,651,798,870,066,186,726,
761,892,819,335,966,539,117,295,418,536,007,250,307,410,641,815,809,348,465,
659,584,770,450,235,751,234,248,058,998,870,919,858,566,214,164,776,295,951,
250,261,362,400,730,191,844,662,721,668,335,063,603,817,069,597,206,316,494,
632,403,663,731,631,361,341,448,790,002,662,224,330,924,006,636,684,384,504,
040,023,575,000,390,484,470,284,621,624,117,518,710,430,346,277,219,164,335,
388,647,390,321,642,565,925,926,551,651,933,338,687,184,647,483,448,358,521,
114,359,732,056,834,868,653,594,097,196,929,548,998,359,386,096,864,729,259,
127,376,569,465,243,467,235,747,226,068,394,826,660,939,338,619,984,443,228,
413,156,665,244,161,016,746,203,609,263,825,669,731,315,839,558,595,031,019,
409,611,352,642,739,694,776,935,185,290,529,857,350,546,233,021,807,439,544,
747,760,331,710,304,607,517,150,551,289,975,006,242,554,353,766,973,428,980,
370,916,963,495,076,346,702,847,004,664,774,515,109,167,744,786,483,516,163,
621,305,189,338,749,140,845,642,944,321,719,279,317,053,730,305,101,766,639,
057,819,810,812,127,683,813,556,473,721,355,235,666,640,504,371,007,256,788,
117,762,407,323,529,537,909,856,719,193,311,668,927,092,108,566,200,307,785,
176,777,161,916,810,142,110,808,950,497,941,310,831,690,955,572,574,609,340,
537,329,666,388,810,914,582,244,846,317,050,553,896,981,848,285,671,788,822,
847,699,198,465,329,644,526,230,754,792,572,443,790,782,119,898,483,823,295,
608,134,972,934,699,389,452,488,832,938,716,956,713,417,399,278,784,679,033,
901,838,228,264,098,806,678,244,899,171,847,839,130,155,622,712,539,598,138,
424,052,250,182,896,421,596,166,919,970,055,980,925,972,732,709,552,641,058,
868,294,927,868,049,374,670,267,897,614,168,013,752,285,487,205,505,443,364,
784,419,711,974,449,907,370,800,483,419,292,004,026,556,650,614,592,871,564,
862,683,380,979,106,807,682,912,266,168,277,981,978,891,386,267,378,807,796,
136,053,297,567,179,468,491,557,863,275,094,021,946,287,703,893,198,333,126,
985,945,152,094,288,558,527,155,480,693,067,539,105,032,592,011,290,420,187,
279,839,353,693,587,690,031,996,857,422,645,555,461,758,806,033,282,333,962,
606,198,631,119,122,353,522,381,327,448,556,680,346,110,934,387,922,711,169,
937,236,425,894,571,222,555,849,193,599,628,485,571,716,763,050,061,113,647,
077,621,006,324,107,427,347,534,591,233,968,682,513,107,116,638,513,975,235,
114,059,413,249,004,378,229,196,265,253,449,571,562,722,096,441,131,940,143,
514,626,641,640,780,392,740,416,830,985,042,310,757,297,963,269,620,123,112,
240,467,749,881,260,701,070,485,669,803,229,576,566,950,735,293,132,377,791,
311,527,061,610,986,981,646,151,578,358,565,211,467,943,228,313,986,030,746,
679,246,671,828,472,911,030,735,719,287,795,424,015,354,980,012,057,026,594,
264,563,982,535,321,527,157,033,960,374,875,047,815,560,543,961,580,391,774,
081,874,279,479,733,491,195,765,606,249,521,862,361,459,023,731,626,808,820,
465,654,261,337,478,005,225,791,344,353,192,252,143,044,853,721,146,967,121,
246,267,809,864,691,267,990,899,171,406,976,484,357,533,639,311,145,880,549,
849,766,364,345,589,378,724,978,011,338,607,948,066,018,879,546,877,725,160,
111,053,504,922,384,913,199,290,767,979,237,495,729,286,554,160,125,986,615,
083,540,918,025,993,377,348,650,215,775,960,637,989,673,659,625,108,362,763,
665,361,521,540,983,426,600,086,551,236,813,644,788,869,074,417,383,682,822,
347,376,367,234,013,374,987,378,801,714,245,011,590,104,018,971,076,245,753,
794,833,532,565,631,302,488,854,428,660,204,200,771,613,887,573,478,022,211,
599,733,887,211,607,739,626,645,440,117,967,489,605,716,277,893,507,621,749,
486,927,688,824,310,596,091,923,109,582,681,146,349,878,154,954,917,274,005,
162,260,655,793,475,259,778,393,782,826,733,815,596,659,144,319,562,712,394,
212,338,258,649,579,586,956,883,874,828,248,435,377,569,533,707,031,765,791,
179,320,766,296,630,170,357,099,970,279,268,420,491,959,704,468,243,310,659,
829,217,075,324,820,608,615,488,596,748,067,460,257,106,939,797,430,762,656,
795,218,514,240,119,419,164,248,710,428,068,464,197,677,393,427,822,550,569,
837,670,260,196,920,605,817,926,179,889,566,648,937,417,567,978,661,842,841,
025,362,335,393,568,280,833,944,299,280,499,539,385,802,397,389,200,779,092,
436,358,337,505,798,642,516,080,260,129,624,189,293,522,613,553,055,736,414,
638,438,557,277,283,114,377,852,378,231,565,535,777,485,306,355,273,882,752,
979,022,502,083,339,406,934,715,487,160,355,360,271,120,662,690,251,881,778,
644,393,260,259,051,629,546,204,592,722,090,376,794,341,824,269,213,854,555,
228,222,910,004,097,707,683,387,274,244,027,126,560,566,685,699,616,460,517,
050,094,046,003,542,747,393,017,953,932,611,098,286,843,017,129,683,878,757,
597,017,682,860,639,339,235,678,375,394,478,064,401,671,303,732,341,790,209,
046,273,348,013,079,258,084,894,559,725,837,652,820,487,308,598,136,506,691,
137,557,585,999,335,424,989,706,592,962,875,513,616,088,375,698,671,635,613,
955,342,407,662,709,703,163,182,243,380,356,730,774,525,277,816,140,772,570,
297,593,586,468,965,298,333,765,345,456,500,445,212,464,826,760,013,731,031,
527,935,795,825,836,880,095,508,548,491,792,902,560,230,653,634,446,070,587,
485,721,947,269,260,646,880,487,860,179,897,954,053,414,194,091,749,844,757,
023,903,899,405,204,765,198,000,062,601,527,307,754,977,638,890,347,669,864,
217,761,714,351,541,706,505,322,126,128,393,075,269,231,710,514,781,778,184,
181,015,339,052,013,970,985,448,925,417,741,026,113,359,717,368,690,025,872,
557,401,330,183,547,542,997,267,163,068,140,895,116,788,947,811,493,043,988,
310,277,752,566,490,802,653,609,643,391,459,243,353,423,043,434,211,967,605,
928,613,474,537,372,564,665,596,430,394,140,252,424,829,668,183,494,295,006,
205,116,081,759,205,099,635,035,990,864,422,916,283,097,834,828,214,664,211,
175,319,204,198,352,434,787,068,925,562,526,670,685,429,473,936,811,779,298,
653,643,309,787,750,205,328,479,067,951,849,056,358,609,382,183,093,290,349,
193,048,412,771,489,887,317,242,157,438,253,830,845,150,278,222,769,612,278,
227,141,868,739,495,580,091,374,542,073,446,078,248,446,080,124,178,756,608,
762,184,067,817,461,436,218,083,792,737,835,441,684,460,080,825,362,091,300,
054,909,102,167,381,917,049,566,864,175,289,070,112,466,792,974,853,513,914,
941,642,179,469,283,335,961,922,534,428,784,066,593,325,113,327,752,346,111,
971,211,115,179,642,613,660,620,216,253,930,172,839,229,968,743,390,801,558,
977,082,131,168,107,717,912,947,271,502,838,243,559,235,605,289,917,426,811,
711,377,191,039,676,941,665,765,325,930,699,169,928,096,396,563,269,162,120,
437,788,415,278,855,920,176,930,473,925,497,359,883,308,259,966,087,189,127,
315,483,772,098,571,628,288,176,632,793,813,870,588,691,019,046,120,253,815,
450,231,892,064,535,816,134,851,582,328,261,115,902,342,859,672,856,788,877,
849,761,288,310,376,319,725,879,393,664,306,747,315,459,309,011,562,863,978,
101,313,796,898,066,701,848,854,149,047,435,092,728,880,765,775,796,947,072,
740,156,625,896,313,903,721,645,645,015,147,734,935,572,219,096,665,180,036,
140,434,841,279,181,660,935,528,541,165,385,597,620,993,163,497,150,235,018,
259,988,171,935,201,183,388,962,988,406,970,091,190,953,701,523,723,421,893,
746,436,546,163,950,304,305,445,711,314,960,480,326,078,914,054,406,853,896,
433,238,589,659,141,446,833,943,590,716,348,384,143,912,896,389,894,605,213,
878,105,728,983,394,529,950,228,939,226,231,810,246,545,156,051,062,496,569,
343,832,179,003,246,489,937,752,379,249,477,219,455,734,610,290,624,602,838,
677,644,084,450,449,358,255,252,410,339,910,247,780,724,184,745,957,816,258,
220,036,473,748,435,484,652,889,048,720,974,934,188,271,044,497,882,125,994,
543,873,570,060,272,972,119,973,816,220,326,319,324,655,109,100,933,804,550,
454,849,251,428,550,391,595,624,220,461,528,753,207,375,746,314,686,222,128,
695,082,517,464,164,042,364,041,692,569,432,398,103,104,699,950,136,023,661,
943,371,446,307,636,517,337,196,129,648,306,112,290,789,373,355,501,149,254,
007,206,958,800,939,084,339,759,820,414,620,105,077,627,650,466,104,304,742,
761,152,182,318,385,796,475,705,293,780,590,690,572,268,740,476,672,318,018,
152,003,096,612,865,902,260,832,110,508,139,932,087,368,165,596,567,806,651,
196,012,906,819,331,933,400,810,612,280,187,729,180,684,652,640,243,554,929,
090,164,975,374,094,898,896,239,645,453,603,341,922,516,179,489,163,877,987,
360,358,401,687,236,637,565,948,357,363,771,964,249,870,355,285,258,967,039,
866,292,626,780,998,245,225,757,127,289,667,987,854,707,412,826,877,063,848,
614,545,342,601,505,112,704,057,275,684,852,520,252,723,067,636,591,257,539,
996,350,521,988,274,543,414,804,062,086,539,254,476,366,724,986,303,956,171,
687,693,317,023,929,890,738,886,484,937,718,029,945,252,604,127,058,972,902,
417,688,431,249,197,051,810,559,861,643,905,189,582,217,071,426,700,059,552,
225,746,139,538,683,966,607,556,683,709,945,726,805,375,631,959,515,516,263,
449,878,651,714,566,345,524,200,446,083,392,824,352,634,144,881,526,200,589,
250,285,281,189,415,968,295,835,048,234,841,915,615,135,847,453,289,204,664,
781,873,267,996,480,207,550,911,809,766,521,660,177,822,177,753,050,907,048,
883,025,211,560,897,831,449,004,539,371,886,013,902,415,475,100,874,112,571,
252,750,779,475,692,874,808,286,696,875,888,079,460,650,441,142,363,063,714,
043,645,486,078,089,124,671,629,512,169,170,652,677,442,894,639,401,086,016,
324,406,412,546,681,359,438,061,773,363,272,033,204,201,226,699,622,494,809,
581,853,989,411,717,656,492,275,632,289,939,860,680,936,289,537,350,976,127,
385,390,636,006,535,325,700,412,531,900,399,559,486,514,310,973,532,205,547,
122,839,960,621,359,811,001,915,759,684,161,514,547,470,789,184,974,878,979,
074,414,222,241,442,338,061,907,664,358,449,299,768,776,813,239,664,964,287,
844,394,104,666,568,351,944,096,184,562,477,808,835,910,058,881,401,377,326,
853,818,509,933,623,340,901,146,311,143,823,828,359,020,390,226,895,748,639,
406,662,598,794,103,601,754,574,173,096,645,321,328,548,586,691,929,803,148,
317,806,637,210,365,283,437,397,731,360,955,896,348,842,730,615,298,764,899,
422,338,014,623,260,546,377,723,451,958,824,270,606,438,342,486,927,429,678,
630,583,038,698,165,266,153,388,480,613,455,946,827,192,566,935,569,041,728,
219,124,776,116,814,874,083,175,666,396,754,654,421,404,074,713,009,183,909,
113,954,941,553,445,115,534,856,587,296,428,235,217,263,942,583,651,847,294,
508,397,645,686,488,671,768,215,410,251,102,369,921,507,337,258,528,307,023,
881,012,224,703,876,058,543,166,554,252,941,853,172,606,001,305,151,471,446,
602,044,612,205,701,340,652,578,182,420,852,173,415,769,753,970,812,082,182,
779,048,497,821,548,088,339,804,369,321,952,035,441,743,525,916,610,341,444,
579,923,866,926,532,867,284,980,984,888,409,512,054,568,421,935,657,124,595,
258,547,650,238,674,256,739,740,028,486,847,050,310,752,997,767,685,417,431,
419,160,179,769,911,918,542,180,053,091,036,693,729,758,217,674,160,896,652,
615,225,569,987,777,601,678,271,671,653,000,586,486,305,948,519,132,957,762,
115,783,459,475,171,582,512,507,580,370,377,756,764,702,722,149,646,187,850,
791,655,759,525,526,240,151,497,359,503,204,742,001,766,206,157,414,942,780,
797,719,849,150,834,099,147,815,798,143,723,099,159,766,708,599,422,474,698,
928,450,962,393,711,284,417,099,658,426,512,999,463,110,022,166,177,129,944,
443,713,910,302,212,713,395,217,340,190,849,565,882,635,883,872,508,491,109,
457,927,172,468,916,598,695,091,395,682,963,211,760,517,154,237,151,439,385,
939,971,320,294,809,775,306,000,202,931,789,234,201,608,444,042,710,265,402,
600,782,037,290,310,217,176,185,483,266,609,166,881,925,203,871,571,035,486,
968,585,829,733,036,259,378,099,795,740,434,465,292,608,376,529,383,276,255,
773,601,361,600,767,367,739,242,836,360,216,939,579,736,216,027,738,580,621,
465,477,911,666,434,008,161,724,446,820,689,437,578,359,427,399,754,301,206,
503,655,629,150,787,092,285,878,850,682,113,344,373,553,086,466,166,708,930,
331,604,169,414,337,538,448,783,114,362,178,186,252,152,434,930,128,075,794,
058,518,134,277,715,066,931,203,548,204,072,502,739,371,737,298,559,396,876,
755,850,152,698,398,731,396,654,627,369,545,372,107,351,606,931,582,070,063,
655,023,943,626,836,796,928,287,368,043,719,887,403,732,532,986,672,123,958,
566,933,628,196,463,238,506,392,272,372,732,091,158,939,221,277,944,499,107,
843,785,989,312,671,537,210,515,327,630,181,808,980,942,040,678,663,347,455,
831,161,316,193,355,203,027,103,528,264,191,337,050,905,617,932,009,923,271,
690,186,641,891,135,005,035,543,737,487,052,569,340,820,188,122,356,118,483,
988,298,982,436,653,122,812,898,696,143,498,313,139,826,782,068,239,071,955,
319,767,857,121,077,729,109,995,838,716,576,663,258,594,914,775,839,188,016,
470,005,037,164,710,838,000,116,084,718,968,753,370,586,733,199,150,121,432,
934,835,584,037,778,112,540,208,444,215,036,604,812,924,100,750,131,821,509,
543,772,948,485,083,267,033,081,954,595,889,416,015,691,434,709,121,247,840,
213,218,202,828,558,169,808,216,368,968,859,474,022,345,331,175,222,715,071,
221,831,017,769,936,788,106,415,349,516,642,004,017,933,836,768,068,713,244,
616,472,525,324,262,379,178,309,681,240,021,526,749,670,243,457,085,911,918,
942,385,920,470,704,759,432,654,067,332,368,168,705,341,081,315,713,436,449,
421,052,313,790,865,467,685,346,389,503,639,895,898,713,447,286,173,166,584,
342,708,769,854,057,356,236,080,127,280,447,514,520,428,862,055,943,698,427,
701,577,755,730,320,029,331,951,746,535,623,616,927,026,823,702,151,619,183,
386,008,955,937,439,401,702,343,923,975,859,132,977,977,607,836,710,378,167,
568,860,660,518,315,133,123,091,390,184,426,247,838,877,802,306,242,237,544,
592,423,312,514,434,797,614,247,164,493,036,283,313,054,967,263,126,898,770,
437,069,901,189,841,048,496,359,632,357,398,123,920,420,927,635,096,780,702,
330,910,400,030,062,925,938,889,194,707,505,992,325,058,674,104,139,881,511,
275,654,230,965,492,798,855,790,033,314,591,232,289,760,808,973,148,009,538,
637,833,364,447,145,805,825,707,347,558,703,680,384,776,053,301,842,602,861,
402,542,340,442,826,702,181,042,060,805,136,991,058,067,528,289,330,435,461,
624,215,249,656,194,292,730,559,428,230,932,232,358,518,766,169,978,992,011,
001,140,051,832,903,520,641,772,921,760,443,719,162,992,124,097,172,091,347,
213,104,298,183,064,473,286,195,700,470,604,529,653,832,211,364,372,176,156,
905,676,832,794,237,788,923,556,430,376,345,883,276,368,314,842,028,195,974,
488,540,331,015,207,402,492,244,383,127,377,582,505,825,944,166,897,880,597,
396,016,340,380,311,183,468,538,742,425,827,795,768,921,951,711,932,141,306,
542,723,872,508,381,247,451,133,802,676,094,971,353,856,013,210,900,927,213,
783,810,611,198,876,271,216,946,741,968,554,017,573,733,180,956,251,994,102,
587,474,667,062,633,959,241,972,930,161,683,364,625,209,185,078,465,567,990,
425,377,886,393,993,511,220,515,828,059,531,867,044,970,582,465,113,102,120,
695,375,077,926,910,255,970,762,312,689,421,754,123,015,073,222,908,687,448,
598,447,746,739,072,795,957,440,085,131,096,510,929,182,350,481,206,867,833,
456,216,048,287,341,146,316,487,395,035,093,619,982,018,858,370,663,699,958,
436,644,467,562,907,020,604,376,343,092,012,173,907,702,281,739,244,827,047,
490,003,338,042,235,501,552,449,441,606,486,176,500,755,613,591,945,293,321,
008,859,301,010,560,143,930,971,916,952,437,624,825,777,063,947,788,629,278,
351,160,975,554,869,767,204,229,057,089,971,235,602,588,694,453,840,543,576,
638,132,548,466,918,763,608,699,426,794,385,752,842,406,902,463,411,352,165,
354,805,136,771,100,323,662,749,889,636,954,986,481,023,587,762,760,765,256,
041,593,537,202,275,740,103,812,905,102,012,997,676,961,642,351,480,086,852,
921,001,929,495,683,322,031,525,667,065,779,679,051,595,896,778,793,953,650,
307,119,028,428,414,927,038,913,800,872,502,081,735,976,096,168,725,296,415,
846,818,618,588,615,246,945,950,018,925,119,059,476,212,437,657,783,230,725,
484,629,543,239,735,957,760,385,592,229,865,336,800,871,415,481,517,612,100,
517,577,824,270,654,496,097,891,827,349,666,569,044,687,706,325,815,068,963,
957,420,453,302,119,939,449,462,543,567,477,753,162,884,852,096,515,425,037,
078,225,488,898,622,619,008,889,834,361,239,256,901,816,001,023,223,357,443,
213,132,733,460,163,787,541,701,933,344,855,145,359,548,665,948,158,354,400,
867,031,062,403,569,169,616,792,571,501,505,071,880,626,012,135,558,863,123,
896,527,471,157,144,399,690,817,705,681,755,542,437,715,972,815,844,880,841,
925,464,845,284,192,021,597,291,688,782,542,387,668,699,100,900,723,650,158,
472,788,234,208,876,843,262,756,119,179,640,243,002,397,747,810,095,530,220,
847,236,943,973,711,533,053,199,908,262,796,827,839,829,036,257,815,721,493,
145,589,487,950,486,098,283,401,177,291,362,745,098,530,380,431,668,766,264,
587,568,795,652,576,858,431,926,324,162,632,074,128,660,711,734,835,928,399,
059,596,145,584,560,039,910,908,834,862,857,870,273,421,399,931,989,879,020,
660,498,943,200,412,284,598,911,209,632,453,556,474,923,531,155,076,028,473,
843,183,253,591,365,445,705,386,194,860,858,024,614,688,983,674,827,414,542,
782,046,650,261,268,957,949,315,507,170,333,954,247,551,697,463,509,868,519,
151,602,301,588,362,164,776,234,609,127,736,112,857,422,893,822,543,618,577,
287,124,871,888,171,631,002,151,435,720,166,876,671,487,610,353,392,538,064,
793,145,946,273,595,534,569,599,599,006,981,909,117,183,616,912,469,226,135,
765,925,213,291,566,525,387,057,756,933,583,703,343,952,504,611,487,615,825,
738,423,354,603,557,522,150,430,580,275,050,099,487,307,951,957,430,076,766,
734,915,731,293,418,778,723,886,993,780,012,035,954,678,729,804,693,894,032,
025,671,626,211,222,165,979,022,005,749,897,669,711,017,710,069,393,109,442,
488,756,431,827,364,433,480,627,443,439,071,246,504,209,268,752,179,210,832,
172,999,677,833,511,295,860,136,584,544,247,671,729,096,154,295,633,576,294,
965,697,411,201,991,028,090,496,323,790,176,291,318,328,009,883,905,583,893,
232,592,545,410,837,031,549,252,064,393,786,769,331,401,368,542,821,933,171,
454,338,150,902,866,683,071,098,658,423,319,079,608,898,464,563,589,357,126,
045,318,627,394,687,848,553,436,855,085,442,743,615,592,292,073,665,087,449,
571,503,861,236,356,909,518,529,320,467,657,090,679,605,523,652,484,338,779,
065,739,129,800,782,839,310,523,688,756,850,219,959,062,073,826,837,046,408,
925,474,699,084,116,146,958,909,573,245,076,316,261,613,306,030,776,962,297,
938,661,909,420,963,348,003,319,499,009,734,820,938,906,299,808,801,380,322,
789,044,721,163,546,395,988,876,789,232,434,909,602,638,387,114,395,181,640,
670,404,444,208,159,504,191,106,271,069,077,640,384,615,416,013,522,605,024,
099,085,585,176,881,010,317,340,484,892,716,387,516,424,913,209,445,676,258,
749,285,288,645,576,502,680,289,188,875,449,431,971,001,697,607,404,878,514,
230,042,672,626,240,107,303,563,057,983,895,798,233,311,654,465,206,020,083,
813,480,987,734,889,020,469,582,965,411,915,482,581,824,557,878,087,526,266,
472,974,697,073,682,078,692,985,645,709,940,967,000,378,288,017,384,772,446,
221,396,737,977,901,567,668,418,351,288,565,509,808,539,785,709,254,668,042,
964,081,935,607,975,109,463,263,289,286,056,400,442,157,100,043,271,173,997,
455,888,498,567,098,380,316,968,655,378,836,729,543,837,936,464,821,015,844,
388,407,126,496,273,372,704,344,442,843,468,861,328,207,467,530,030,759,704,
143,394,429,959,853,476,236,646,630,257,117,755,506,069,142,011,203,106,853,
684,955,298,733,456,920,767,894,760,650,404,608,088,911,349,141,722,941,936,
469,427,964,667,381,012,788,666,376,750,443,409,457,419,633,167,058,324,412,
913,760,355,093,763,064,582,143,433,436,811,627,907,447,607,543,243,943,350,
585,068,126,753,978,282,840,079,407,758,457,165,008,296,544,514,030,891,476,
038,805,588,008,730,972,661,120,131,987,176,278,648,394,383,578,903,116,519,
719,407,084,535,060,844,978,210,281,378,120,987,771,925,453,172,803,215,933,
349,086,218,553,085,169,238,098,267,101,957,022,968,007,156,751,698,230,261,
900,103,910,625,208,599,105,862,158,682,764,362,466,348,190,179,347,224,118,
531,541,144,350,946,313,345,889,922,781,892,630,827,866,164,446,725,733,005,
156,671,753,584,434,810,171,312,178,189,296,544,983,926,398,615,956,434,044,
668,274,304,119,290,272,886,333,921,351,196,042,794,854,202,145,880,690,285,
050,842,534,292,792,806,479,446,594,599,087,713,842,133,294,086,173,287,610,
882,272,992,490,742,292,769,308,389,068,616,512,271,001,375,494,717,579,804,
520,470,197,499,690,954,433,284,750,273,476,102,126,928,808,770,631,207,314,
490,008,140,948,584,878,181,542,972,376,393,233,837,429,430,703,963,346,576,
447,404,035,286,375,118,507,795,236,816,537,655,144,665,397,173,244,878,123,
429,505,343,039,950,199,092,933,973,978,391,593,119,632,257,328,237,214,659,
470,688,824,815,610,661,129,628,642,618,322,036,304,798,032,289,476,436,549,
895,119,773,660,061,603,557,038,438,375,437,215,789,094,206,350,208,704,644,
705,712,778,895,969,809,186,375,839,328,521,424,155,521,987,527,391,264,901,
020,267,055,834,188,066,583,774,415,632,502,641,267,746,762,915,634,068,764,
669,233,140,795,611,285,801,080,673,636,172,750,314,322,409,362,237,161,956,
003,395,652,901,970,347,067,392,998,721,496,042,278,156,438,838,314,109,043,
044,407,273,543,883,711,530,015,635,627,435,642,857,635,996,320,974,621,930,
528,977,089,771,983,424,922,825,039,858,329,084,863,369,098,864,704,783,724,
707,172,034,572,064,353,894,693,922,631,944,861,661,014,749,182,821,037,392,
813,984,959,586,689,317,743,238,517,220,982,659,633,736,118,165,431,704,542,
580,488,248,757,147,140,169,809,085,384,129,310,680,962,529,915,115,885,700,
990,695,142,115,916,380,443,632,219,587,216,431,880,661,604,739,355,550,121,
968,850,817,281,609,010,063,205,443,028,018,460,465,492,099,179,763,090,071,
450,922,515,223,097,467,056,697,207,367,982,056,755,135,556,340,645,581,531,
137,332,695,036,895,399,303,627,544,702,026,287,856,351,198,802,946,070,773,
916,444,956,558,472,325,753,688,254,917,076,861,448,309,171,015,602,605,670,
569,883,116,209,885,798,966,871,525,770,176,619,511,644,170,624,615,556,399,
156,728,398,392,890,886,093,003,838,495,424,987,571,441,894,301,764,340,296,
006,015,350,480,276,357,953,473,360,023,360,558,589,902,471,894,779,477,727,
005,666,846,729,643,458,238,713,354,820,374,779,930,831,136,471,018,317,459,
822,820,106,260,098,339,511,548,464,814,983,808,451,174,151,519,940,378,159,
551,245,169,715,666,579,108,386,622,054,153,687,149,759,360,483,971,772,281,
929,513,403,526,614,264,739,872,683,513,678,830,874,689,139,761,983,948,704,
547,608,239,363,606,145,764,653,461,159,517,787,579,381,779,962,563,929,155,
891,740,742,626,533,090,885,517,162,299,693,721,692,011,384,044,705,569,550,
770,894,630,792,139,478,867,186,566,338,555,493,471,915,160,392,312,262,597,
823,078,701,296,632,952,250,948,966,844,836,048,491,210,820,838,735,788,483,
377,861,328,438,868,502,078,528,257,860,458,181,874,950,609,614,384,824,849,
018,997,828,431,593,274,269,040,375,558,289,073,372,889,424,475,560,488,604,
049,878,380,803,574,614,195,081,410,485,254,794,107,948,462,761,124,873,742,
687,760,574,364,576,320,895,480,750,369,077,602,295,848,657,074,341,956,033,
977,376,513,915,392,252,990,519,465,592,347,214,660,226,717,145,242,965,532,
654,185,384,638,293,683,557,381,099,552,981,301,698,594,975,203,904,383,059,
440,945,531,568,485,720,505,758,718,225,107,547,592,966,308,306,585,439,780,
773,015,791,218,918,345,548,205,387,535,762,955,596,096,328,895,471,454,758,
116,629,461,750,843,412,906,794,748,587,382,776,711,550,831,929,724,581,597,
385,695,248,544,634,735,127,944,308,494,304,031,457,275,746,248,482,022,852,
286,416,265,323,749,900,471,397,413,949,949,106,282,438,780,287,771,890,030,
678,277,013,817,544,672,216,753,474,646,178,319,208,712,390,383,326,308,148,
154,223,575,055,230,498,006,480,064,521,977,343,646,257,277,837,183,673,599,
296,535,912,537,653,788,000,576,322,096,116,965,910,688,031,955,264,765,513,
222,713,836,838,655,224,767,174,464,402,780,291,813,595,999,920,961,665,084,
193,630,430,413,426,186,084,727,179,225,232,706,449,058,184,981,062,068,864,
873,350,540,427,792,694,869,929,860,558,876,905,037,963,064,609,806,680,738,
561,455,358,059,732,569,921,813,990,410,958,041,973,127,921,167,831,245,696,
576,345,017,799,163,285,014,260,338,444,397,146,517,398,499,531,597,125,889,
499,794,247,821,929,931,352,726,363,453,236,472,493,278,235,915,103,526,562,
712,210,002,999,153,367,860,543,146,977,190,723,203,231,313,301,785,438,999,
615,075,251,807,050,075,713,207,724,237,922,798,739,454,702,775,298,254,257,
574,953,723,150,097,273,722,331,160,054,495,288,044,324,956,325,841,095,184,
913,021,299,179,283,744,026,055,587,531,037,592,742,390,678,265,919,004,067,
015,888,010,706,006,406,698,964,902,972,269,697,501,218,171,535,328,637,995,
482,066,611,814,991,511,733,137,572,118,376,628,014,818,058,709,513,573,561,
949,030,620,221,704,346,849,717,764,659,003,278,430,278,482,689,580,734,764,
803,602,359,588,000,015,932,607,885,829,679,859,400,631,947,961,627,674,489,
327,769,851,659,795,521,667,628,201,602,199,273,271,685,972,553,570,080,843,
701,030,634,034,747,901,476,211,033,372,837,310,406,850,151,945,441,942,843,
850,133,477,793,491,359,167,138,376,056,938,022,080,509,024,086,678,454,166,
609,484,289,186,841,112,650,829,317,742,604,965,816,723,969,482,143,277,180,
810,063,548,332,196,568,578,332,054,086,673,813,565,202,651,444,666,815,909,
568,190,657,139,337,867,611,823,970,788,986,162,695,448,161,409,915,180,896,
597,632,141,140,436,178,866,918,255,210,135,165,478,280,554,779,848,956,380,
296,351,079,293,985,947,706,378,628,265,246,517,840,174,808,722,411,837,571,
943,694,489,098,043,881,267,971,103,660,979,976,692,578,767,900,441,871,704,
555,439,950,334,874,466,528,239,437,047,834,215,693,547,744,989,037,288,704,
212,185,690,043,717,720,419,250,639,760,786,516,539,577,759,171,083,006,283,
962,341,793,474,401,595,875,263,700,882,094,229,551,277,476,112,610,498,233,
803,463,009,907,438,719,454,575,668,360,743,469,305,867,064,059,494,626,109,
973,482,532,199,564,844,623,693,887,836,029,843,120,696,689,075,623,665,227,
846,253,769,900,488,091,413,198,264,200,359,284,335,565,521,644,464,895,837,
903,255,445,239,962,090,495,647,491,371,198,323,179,100,142,885,340,485,279,
597,864,896,504,302,977,947,971,258,777,717,480,945,131,892,960,457,632,239,
525,299,930,181,598,264,324,019,134,933,907,519,899,226,898,457,011,978,439,
110,637,057,552,766,461,324,179,052,579,297,060,036,185,911,329,358,583,696,
292,486,841,379,592,788,576,037,011,039,455,702,816,239,038,068,756,644,408,
909,339,234,622,119,535,307,660,195,195,671,823,708,431,885,849,942,148,857,
984,145,945,599,311,866,327,924,541,988,436,394,378,086,845,399,592,060,656,
467,843,765,691,252,566,823,638,523,835,951,517,919,042,833,240,343,413,415,
954,895,525,719,974,708,099,067,074,755,862,638,626,971,562,072,550,049,575,
253,893,048,294,047,829,377,939,597,021,919,665,624,715,158,011,971,525,398,
687,351,529,623,609,849,421,856,264,453,972,221,629,821,817,722,845,830,133,
590,905,451,682,215,299,768,391,075,986,915,436,832,064,084,499,313,481,444,
361,480,175,605,548,130,611,046,265,295,108,578,015,045,664,925,813,118,675,
015,796,575,490,736,619,500,518,747,303,766,945,072,837,547,606,195,065,703,
271,412,506,106,223,590,097,737,979,776,814,658,065,043,552,878,607,611,384,
477,519,536,617,182,011,019,804,727,637,232,434,541,065,076,064,783,289,019,
336,818,060,796,518,653,949,824,036,343,519,065,184,824,358,312,966,763,474,
187,172,403,292,474,385,212,386,176,498,464,028,407,677,538,165,417,796,770,
595,443,515,861,501,792,585,651,682,911,444,176,725,264,579,647,628,010,533,
798,523,211,474,056,388,592,074,150,212,590,461,723,340,680,847,061,037,576,
500,423,336,360,127,923,572,388,458,645,776,036,469,261,667,766,449,610,344,
785,535,743,684,364,436,160,920,219,425,600,172,071,374,580,967,115,338,201,
100,969,028,084,684,640,577,024,736,373,006,163,328,102,927,527,296,943,186,
087,999,634,756,567,264,827,187,444,535,211,705,206,963,526,037,533,059,787,
843,180,134,540,597,519,350,013,058,842,890,481,049,392,468,795,722,038,014,
888,289,100,018,571,425,754,361,781,780,615,320,929,318,013,519,591,594,541,
111,674,546,015,788,886,662,019,592,804,215,623,910,611,317,631,142,691,677,
691,858,840,689,416,233,504,481,976,016,671,107,736,643,629,764,883,495,590,
640,894,035,353,147,152,074,733,653,497,143,447,674,559,123,933,232,163,872,
986,723,420,852,411,670,569,416,249,235,378,559,438,137,479,662,576,422,380,
565,588,850,961,454,937,833,319,634,126,953,252,472,822,242,385,144,870,098,
167,342,643,257,377,008,422,696,553,868,145,357,713,644,654,013,211,305,013,
126,384,180,358,738,038,448,797,569,329,159,665,486,585,646,962,152,916,040,
836,645,865,056,379,361,978,453,637,956,090,735,289,617,373,727,435,585,733,
234,701,449,035,295,851,294,936,678,269,793,419,181,008,662,219,871,879,447,
000,708,347,258,277,682,371,705,241,498,256,689,274,732,908,519,375,590,101,
862,748,874,530,645,967,582,144,388,968,890,976,941,306,124,165,362,896,999,
456,049,961,233,711,531,974,878,766,663,853,424,289,605,095,241,811,133,756,
817,697,124,563,787,958,321,809,666,960,505,190,298,393,979,238,832,762,545,
064,967,043,204,772,034,477,866,630,978,936,925,881,830,667,110,603,924,090,
933,946,240,616,207,762,987,961,886,344,285,648,552,581,006,681,756,366,386,
556,341,739,733,476,974,486,080,557,686,885,003,515,226,874,074,213,822,392,
593,906,121,418,964,682,675,134,520,090,765,927,192,983,831,614,418,955,337,
223,301,895,088,207,631,553,874,736,621,452,030,008,125,728,939,260,570,020,
594,430,192,239,453,796,391,376,790,569,610,397,171,464,912,683,218,567,041,
392,980,320,863,178,099,529,778,464,969,478,485,490,244,539,089,363,011,491,
880,845,849,411,713,691,910,026,923,740,937,603,804,499,678,212,125,741,957,
433,651,594,914,688,532,093,095,617,199,903,657,214,788,876,113,780,753,774,
071,084,360,500,850,188,461,592,220,853,169,870,806,075,097,236,818,947,442,
601,277,037,224,297,142,963,517,557,397,818,130,146,382,062,261,729,163,382,
226,562,825,728,712,932,367,104,819,525,827,973,005,051,827,396,993,979,102,
767,153,582,513,968,179,182,867,960,109,063,029,150,146,994,740,664,984,709,
176,297,603,802,922,267,964,566,152,986,389,318,936,621,018,139,898,714,506,
299,922,562,517,129,347,756,592,914,572,922,613,829,659,220,621,501,848,842,
024,401,869,424,535,705,612,005,542,931,056,319,022,862,930,191,543,250,049,
099,040,503,213,732,551,156,288,429,808,176,137,315,084,799,610,628,303,337,
765,870,398,184,779,790,199,758,619,277,825,391,235,056,770,806,239,356,792,
737,085,803,683,179,033,698,941,278,536,119,853,600,528,984,878,308,543,280,
023,960,237,606,977,336,846,423,820,246,822,080,760,070,833,685,236,868,080,
283,101,753,593,825,066,451,170,124,339,802,675,350,521,735,581,327,398,762,
774,425,169,893,634,999,217,791,646,485,761,301,557,166,200,890,666,206,338,
647,517,714,231,066,328,928,991,657,450,648,568,273,472,162,393,675,071,078,
072,202,560,185,939,333,554,758,500,937,314,695,680,143,211,091,053,404,131,
833,387,386,965,097,742,579,870,605,656,128,406,465,956,801,599,387,255,194,
703,943,039,640,874,277,111,121,397,108,115,816,366,024,637,826,975,382,976,
385,796,081,558,820,162,639,966,930,112,704,688,845,933,074,526,884,439,443,
649,024,658,642,116,864,104,522,871,504,076,928,021,700,250,385,306,928,277,
587,996,477,626,546,445,760,930,159,969,316,892,311,470,317,345,917,352,834,
136,144,273,211,114,956,118,154,376,238,572,885,778,079,922,998,729,604,543,
545,377,710,047,614,578,762,656,421,040,298,211,279,196,234,500,153,847,224,
504,908,613,921,129,934,952,654,725,889,867,059,572,950,261,668,108,006,353,
010,555,679,381,168,202,025,050,009,634,635,743,524,093,050,003,027,035,879,
947,767,213,359,403,342,883,095,981,050,268,243,287,551,467,356,410,381,737,
954,673,856,683,207,274,970,783,383,402,045,754,928,876,530,753,785,529,765,
008,444,486,297,849,346,081,141,248,651,884,339,496,160,029,600,214,565,980,
964,012,896,411,868,282,209,878,564,554,315,539,353,028,810,674,663,686,216,
989,491,651,234,065,572,965,426,521,240,036,655,890,271,472,816,781,682,170,
605,504,821,279,674,835,751,421,489,873,195,290,536,858,621,646,290,132,306,
184,451,443,176,232,841,259,936,045,439,757,114,060,592,545,615,601,629,653,
564,441,304,644,126,660,438,590,479,214,433,198,978,371,635,083,711,923,328,
287,295,234,004,677,979,798,848,352,783,700,650,219,472,431,092,068,116,474,
904,362,815,727,962,463,610,554,927,584,678,071,226,655,918,824,734,592,594,
595,427,325,762,563,022,255,884,304,832,806,335,816,056,287,451,170,759,600,
147,076,653,590,216,662,226,744,766,199,740,352,670,982,457,120,055,048,421,
378,124,162,191,349,682,454,047,568,046,998,720,271,919,604,555,177,309,284,
227,667,794,170,415,282,095,866,497,677,852,966,289,030,137,195,241,776,449,
671,131,866,803,381,600,828,870,233,398,001,435,045,499,773,384,349,407,872,
323,632,597,517,187,542,631,010,183,345,267,333,556,536,407,191,007,212,533,
930,982,343,340,154,946,613,382,192,447,641,145,698,503,680,759,202,990,710,
031,171,365,616,212,065,849,869,293,425,259,847,279,608,771,236,806,204,179,
874,882,160,644,843,098,315,214,696,861,030,855,026,926,949,825,425,276,854,
380,587,824,414,671,577,835,585,405,785,523,724,814,920,990,772,292,157,344,
101,425,217,257,453,883,921,349,063,323,377,079,549,139,538,217,176,000,940,
863,322,223,758,321,214,674,889,882,474,532,685,979,070,735,054,824,346,772,
907,053,671,654,499,532,262,350,957,569,916,931,546,189,908,759,059,828,967,
770,150,708,207,024,667,168,796,810,375,904,652,724,309,945,616,247,186,321,
554,996,252,889,721,232,092,680,792,678,222,623,501,604,863,330,559,012,700,
688,727,680,317,558,434,089,541,140,822,067,320,228,679,562,970,064,110,070,
605,145,784,745,421,210,434,073,101,366,692,777,366,535,814,379,147,880,085,
968,180,391,756,983,793,629,171,229,412,028,102,901,095,053,923,124,048,479,
257,273,264,111,921,271,141,847,254,806,808,769,164,630,441,053,668,517,129,
207,625,297,715,282,967,299,732,367,210,287,609,823,237,521,645,113,238,624,
244,472,294,866,630,856,429,475,879,622,123,066,758,846,554,869,691,279,770,
728,178,237,570,397,577,610,871,959,954,721,683,888,353,113,556,050,500,178,
234,005,760,897,205,630,100,867,563,709,752,877,694,638,959,466,580,211,038,
475,414,640,246,354,925,285,309,067,724,418,347,273,140,615,481,947,661,390,
262,742,073,352,503,263,224,409,686,966,487,623,274,231,679,277,774,407,894,
963,386,875,163,860,703,800,188,689,459,394,378,400,693,364,841,638,202,230,
695,719,066,379,104,604,340,489,023,129,778,490,032,225,891,627,406,313,982,
863,647,674,393,178,436,021,585,165,492,143,417,058,164,719,038,606,172,431,
921,359,870,945,432,530,951,248,358,013,346,110,401,648,902,522,247,426,033,
861,887,514,268,041,232,538,778,362,427,269,129,094,569,233,675,348,838,695,
223,852,622,490,887,698,596,340,927,497,432,103,997,021,361,666,751,445,166,
085,491,913,250,704,614,728,976,738,106,791,861,372,401,900,412,862,460,755,
798,422,318,266,004,947,180,939,476,003,512,066,315,717,258,569,924,484,276,
315,134,398,220,809,064,101,021,397,546,012,732,594,194,884,351,395,983,190,
695,220,418,260,595,802,536,271,401,529,308,879,628,722,472,549,384,250,998,
707,713,665,796,156,345,148,208,661,733,361,785,932,894,536,377,104,432,187,
920,999,031,539,964,326,502,492,668,073,869,680,380,282,703,849,555,741,374,
123,890,158,236,410,799,914,867,371,555,880,854,574,873,008,360,627,886,022,
784,815,154,042,474,846,882,113,520,718,577,535,078,451,500,989,176,842,455,
296,719,104,917,380,707,931,454,396,928,278,504,652,523,330,540,734,903,123,
934,281,156,213,252,461,351,193,891,515,759,052,136,405,319,216,062,502,990,
094,292,745,616,607,351,832,994,271,635,632,459,894,476,806,514,435,813,425,
949,016,829,734,574,662,355,653,312,747,180,675,337,857,557,242,514,648,334,
538,731,643,480,069,052,370,928,907,483,173,551,118,180,385,115,387,081,668,
971,567,725,458,134,836,050,406,204,222,492,894,805,623,119,191,065,708,155,
382,655,248,203,931,230,407,472,866,311,894,773,404,844,153,339,507,079,648,
723,184,009,527,180,812,649,440,521,276,724,472,524,850,958,886,548,734,294,
690,531,140,405,475,481,365,036,342,658,923,119,875,708,991,716,845,843,611,
073,917,967,324,617,117,494,376,023,770,540,046,597,172,945,186,108,381,048,
162,464,986,042,553,312,606,348,907,551,796,568,535,580,374,482,407,303,310,
908,889,348,863,501,635,405,243,820,205,427,632,970,517,569,246,858,157,768,
409,406,678,652,239,939,833,930,868,829,778,192,530,576,910,749,003,036,512,
225,171,513,116,147,968,989,325,516,399,070,802,342,247,555,255,037,664,462,
405,961,971,332,203,640,765,640,962,351,919,632,080,795,856,554,898,243,608,
492,485,456,218,606,510,567,378,974,251,740,368,473,075,274,388,205,639,228,
262,681,494,806,322,230,963,630,124,764,263,080,424,660,531,644,923,528,957,
279,507,496,154,858,548,727,455,278,996,521,878,802,957,201,047,038,023,758,
733,172,959,890,842,694,750,878,056,709,338,246,742,140,787,323,738,590,242,
830,759,523,146,880,826,081,518,935,066,752,998,674,938,196,108,038,133,967,
399,079,696,170,746,241,405,092,593,426,723,300,487,764,783,693,069,473,681,
405,959,627,998,214,475,924,088,901,266,782,306,500,711,815,251,081,270,183,
360,226,741,091,451,639,919,446,994,091,586,001,647,801,301,789,801,418,217,
575,722,330,580,628,680,924,370,790,973,409,432,912,089,407,435,863,918,226,
111,448,784,273,917,817,719,089,118,578,244,381,565,844,248,903,137,893,668,
552,972,699,310,052,254,568,354,881,209,754,020,572,042,920,568,897,765,725,
238,743,179,765,913,066,581,810,512,408,908,354,492,864,089,101,463,166,243,
150,065,806,810,615,093,550,048,025,730,379,730,316,985,107,650,290,555,945,
953,488,953,682,188,472,673,672,423,511,491,621,688,527,800,159,630,465,341,
624,655,346,093,815,770,360,016,504,760,515,141,394,143,487,442,743,800,320,
856,013,309,077,463,002,303,120,489,218,002,564,567,720,184,416,877,270,891,
846,132,911,054,612,844,671,165,586,198,834,661,792,677,118,755,504,055,851,
710,805,269,222,095,125,399,064,573,559,964,244,531,202,192,503,592,868,447,
864,514,608,995,537,058,328,201,525,371,247,054,545,706,315,383,981,690,274,
649,711,901,333,922,700,943,230,124,433,697,363,103,252,560,244,681,707,554,
233,136,610,265,163,488,950,597,081,303,639,440,346,169,963,854,040,684,137,
490,088,353,029,392,601,622,454,381,641,390,691,148,973,165,966,056,876,408,
379,317,705,035,536,684,674,770,603,859,535,023,392,331,607,602,359,377,618,
187,259,981,048,477,758,999,322,158,634,861,148,603,350,241,223,640,228,887,
661,000,293,800,362,080,052,416,998,393,515,995,323,047,317,600,448,514,751,
171,074,092,267,227,535,856,712,077,257,129,707,095,790,358,857,462,068,979,
483,361,077,961,904,023,468,882,104,991,808,424,485,756,738,875,469,928,777,
560,296,267,006,699,043,326,439,550,221,723,280,142,867,041,350,207,899,200,
820,520,857,845,415,311,397,661,128,106,736,120,619,577,210,444,643,773,242,
505,508,370,377,318,814,370,739,834,976,595,700,384,026,388,456,449,055,318,
114,490,540,100,493,457,576,421,358,498,486,904,780,488,808,392,445,685,862,
333,359,794,743,353,832,539,162,305,169,707,726,241,183,017,438,087,114,536,
833,121,319,279,881,715,342,638,068,876,790,207,591,189,090,759,400,164,021,
801,562,001,287,577,789,180,236,302,968,604,835,159,411,833,160,807,985,124,
403,368,284,710,465,739,719,098,984,413,671,627,810,903,470,927,158,375,129,
774,221,335,127,453,054,088,148,301,445,942,462,901,624,453,161,012,665,954,
564,857,166,882,854,986,535,136,107,458,412,823,766,447,529,953,289,767,688,
300,784,591,289,284,514,809,733,447,808,512,774,974,578,217,222,375,281,759,
459,567,127,028,933,406,734,373,579,838,306,922,980,343,669,331,798,341,533,
721,361,774,289,817,825,917,884,602,390,951,113,570,806,127,699,914,778,611,
240,168,406,327,015,977,530,808,035,747,650,730,741,093,573,133,379,397,860,
399,403,028,400,050,751,794,196,834,545,248,434,921,091,059,631,772,045,837,
732,993,484,247,907,430,491,841,051,788,984,945,382,784,243,098,998,920,338,
184,880,519,235,396,520,868,717,454,553,792,487,891,679,717,623,818,882,979,
430,352,289,395,954,008,476,006,997,330,294,287,723,239,423,880,706,841,511,
829,893,423,209,818,642,323,113,760,370,304,518,829,169,076,042,323,944,785,
653,761,620,002,782,836,738,492,985,728,971,193,750,076,781,920,871,751,925,
478,897,947,043,977,329,842,537,266,410,691,990,157,811,090,663,651,869,181,
266,887,640,215,235,494,918,509,200,041,884,182,813,208,142,510,620,829,335,
143,109,153,923,963,950,931,246,714,678,632,823,255,334,575,047,451,651,319,
110,992,917,626,787,964,600,838,680,056,232,693,375,035,481,067,598,761,577,
700,740,427,954,597,347,441,790,017,292,016,202,536,077,453,839,770,465,893,
274,841,619,767,831,426,127,606,599,591,250,353,976,161,119,173,374,253,603,
060,305,889,754,549,741,914,841,875,053,828,662,592,978,740,309,658,863,673,
737,979,640,168,277,380,532,322,859,641,307,443,952,030,114,367,471,042,003,
570,973,741,407,778,651,605,514,388,201,715,952,332,704,116,701,185,091,351,
924,422,386,116,903,206,316,808,727,204,915,439,240,681,508,042,020,759,244,
423,673,495,459,492,535,817,637,315,222,777,460,467,485,934,376,797,989,755,
528,921,918,418,470,611,905,505,109,280,480,537,201,273,613,412,357,242,072,
839,086,729,368,802,604,866,538,546,047,046,407,479,499,383,459,450,946,115,
823,987,991,617,824,901,306,660,332,462,829,221,400,621,719,918,080,562,867,
288,160,127,503,882,311,325,073,323,232,024,469,430,179,716,155,693,665,335,
260,426,087,008,372,966,550,086,112,421,760,326,964,532,753,135,782,737,580,
084,733,456,667,754,219,246,720,993,259,035,706,650,471,679,298,728,254,987,
093,772,647,974,093,553,184,549,364,574,479,143,733,546,645,803,789,068,521,
818,337,085,882,404,235,853,238,088,926,185,470,766,532,553,969,709,404,798,
382,321,642,767,541,898,419,127,451,072,163,061,041,627,837,680,993,055,528,
881,376,653,836,069,281,905,727,369,938,956,743,508,445,092,247,068,990,315,
410,963,833,065,863,900,861,278,156,034,444,659,337,233,444,118,616,034,408,
156,351,932,727,160,536,144,061,651,247,097,479,852,445,534,365,647,809,201,
054,493,995,889,165,647,082,097,513,998,541,217,847,438,917,322,846,849,760,
306,802,649,339,201,439,453,352,696,912,817,822,610,365,208,872,325,759,647,
052,611,666,102,385,371,172,264,678,999,301,514,202,130,788,475,501,669,615,
467,622,197,932,919,746,513,413,140,692,285,626,003,654,380,550,792,826,149,
361,267,359,490,838,092,899,933,232,878,048,148,106,328,395,239,334,492,570,
572,492,582,785,381,382,584,592,169,416,152,808,395,376,046,732,144,302,115,
025,570,001,868,729,556,699,757,157,808,233,108,232,258,731,465,082,705,244,
307,908,818,305,513,892,531,113,119,588,623,798,241,784,320,692,978,722,968,
816,842,114,191,823,625,881,946,224,861,881,665,622,308,458,096,800,008,326,
701,368,187,583,236,821,395,374,780,768,200,614,138,863,961,890,704,285,282,
652,251,670,060,810,521,220,562,709,655,805,983,527,487,596,840,858,190,621,
316,893,267,265,837,372,925,453,367,330,009,247,636,724,437,388,500,211,920,
802,438,608,052,112,456,835,393,809,602,023,367,394,633,351,497,136,707,990,
850,726,421,504,471,838,156,001,697,602,694,846,596,681,629,255,350,298,865,
738,256,766,245,123,233,575,704,281,198,026,756,996,359,231,176,941,826,213,
236,833,052,192,866,783,173,130,305,032,547,497,369,401,976,443,787,024,603,
562,558,902,658,382,804,044,368,515,464,106,124,962,580,896,880,485,813,153,
628,343,831,945,465,824,036,751,245,392,437,236,911,560,632,449,314,071,179,
820,789,666,192,760,716,680,607,332,966,883,455,980,408,419,548,091,732,857,
126,306,651,093,119,179,458,342,677,244,594,553,631,523,452,689,855,107,519,
585,294,340,681,792,746,595,510,848,781,181,706,695,467,039,324,666,690,031,
478,583,299,234,922,297,057,056,218,838,864,139,164,518,234,579,106,366,767,
072,473,462,971,914,706,165,588,858,618,000,142,513,229,500,174,017,370,951,
914,923,513,206,779,825,253,089,563,129,700,627,920,695,122,274,471,928,011,
115,196,027,861,231,791,014,953,504,905,493,996,936,378,629,209,388,328,830,
061,205,021,006,518,158,468,448,941,564,074,861,657,556,066,467,489,601,497,
105,185,795,530,111,309,112,848,946,879,157,677,298,887,486,350,420,072,709,
546,793,208,521,050,735,468,143,656,208,675,543,338,918,543,431,463,561,222,
897,164,203,127,800,306,959,860,753,271,522,020,821,785,234,120,291,219,117,
310,642,303,057,574,400,141,498,647,877,503,799,978,269,718,728,825,769,507,
321,005,080,904,919,045,622,378,011,037,285,143,530,773,984,915,582,173,710,
907,868,130,595,066,356,966,898,817,897,380,503,974,084,030,488,746,371,913,
628,099,732,712,998,146,380,596,711,072,719,961,169,830,355,062,899,044,057,
039,042,056,242,661,039,435,255,522,025,571,275,926,395,336,698,807,482,793,
329,482,978,141,861,617,874,370,429,743,480,304,244,332,235,168,414,117,524,
371,671,798,354,107,738,776,345,793,426,475,375,352,766,878,273,328,835,971,
741,436,763,269,717,773,823,589,004,819,412,445,757,861,185,024,569,018,402,
851,292,294,080,207,185,669,473,174,367,937,185,977,860,636,809,861,863,543,
202,945,572,402,295,696,076,771,966,443,055,488,252,642,305,041,330,166,432,
628,202,217,658,110,468,410,403,443,190,196,678,430,490,972,289,109,307,664,
472,994,241,859,865,578,002,862,931,454,830,591,922,239,629,848,943,622,611,
706,230,464,683,636,321,217,503,037,318,433,815,569,410,840,446,492,498,389,
250,872,546,254,415,680,363,972,489,968,584,417,183,382,923,653,511,707,989,
809,908,666,349,291,422,215,762,408,947,992,963,867,179,331,652,655,158,656,
625,548,215,774,343,949,999,548,202,390,262,631,177,939,187,654,522,975,375,
750,125,510,943,808,206,343,807,707,930,377,403,220,844,509,211,362,978,303,
377,265,479,419,164,320,187,798,499,300,232,116,736,228,280,127,909,189,347,
630,046,558,343,683,005,132,699,677,719,367,260,167,321,426,214,428,722,537,
448,412,171,285,726,577,097,109,343,117,539,483,118,120,863,295,157,944,459,
703,288,655,005,834,115,066,098,838,115,550,238,180,039,801,849,918,022,652,
824,921,298,410,863,342,688,581,124,125,108,846,229,987,939,925,617,611,388,
344,718,174,120,416,941,374,229,035,560,471,748,609,234,531,536,909,276,079,
057,090,299,672,768,829,913,623,763,592,357,634,370,084,149,295,686,643,421,
189,358,922,682,430,340,826,476,218,436,575,949,300,797,788,748,818,016,810,
737,186,704,195,555,276,559,942,954,136,724,455,624,802,861,758,536,623,615,
429,017,635,981,201,072,929,473,805,658,967,173,817,193,302,380,525,743,448,
239,309,692,409,433,016,412,476,964,502,974,337,883,783,315,694,443,966,253,
461,961,139,512,146,727,924,830,829,615,674,480,324,005,782,908,926,125,195,
771,001,858,644,712,685,955,950,123,283,361,711,428,627,808,638,757,780,420,
415,087,461,725,940,286,412,595,291,246,692,719,402,971,368,854,696,929,563,
107,706,711,490,599,571,262,942,157,718,510,392,072,274,372,386,829,480,008,
016,081,949,268,457,132,426,278,754,944,942,355,206,830,185,609,111,802,321,
486,465,604,418,399,803,123,284,107,730,628,863,374,425,321,233,364,316,202,
277,074,774,208,855,490,063,368,625,783,183,593,645,500,812,633,531,807,721,
279,605,113,377,497,092,021,331,141,281,829,796,533,457,278,243,182,598,269,
222,236,073,372,427,807,951,322,325,618,246,635,455,719,731,252,449,687,417,
165,624,229,334,114,937,363,496,554,500,889,057,415,845,352,161,643,395,602,
285,865,005,067,591,408,227,391,048,200,513,750,199,281,938,479,469,022,180,
356,365,281,282,316,327,599,031,295,768,024,982,078,936,136,633,453,607,215,
892,314,196,112,018,544,827,090,531,550,895,793,502,826,074,293,688,236,864,
359,356,196,203,357,513,564,569,492,842,417,329,273,228,024,272,678,842,314,
404,651,778,891,452,135,607,805,573,452,197,580,418,507,039,032,085,400,633,
248,264,375,480,165,327,280,680,467,339,558,459,782,453,393,176,086,194,226,
783,454,401,901,048,484,523,359,244,864,638,866,005,122,773,411,456,436,751,
143,628,738,799,583,349,071,861,617,024,512,360,640,827,591,659,618,720,237,
565,878,129,092,849,302,145,331,165,464,708,144,471,850,792,810,347,909,741,
848,281,336,421,447,765,640,708,414,560,931,918,893,838,766,575,271,513,495,
283,947,299,335,184,739,228,619,310,775,149,609,149,839,827,673,115,835,844,
950,475,593,146,809,502,715,409,330,712,950,244,289,631,450,927,070,204,449,
418,463,289,840,966,581,484,975,606,179,982,061,844,557,464,928,526,664,298,
841,250,560,504,770,250,512,433,585,720,423,776,429,981,458,115,719,943,121,
374,322,725,388,413,312,918,402,405,399,924,146,442,668,718,623,881,490,761,
590,482,508,278,992,027,361,876,688,020,878,365,539,034,463,946,505,136,292,
771,021,565,022,991,431,920,653,345,736,292,037,755,495,045,472,153,089,478,
464,246,841,184,971,162,378,087,507,768,365,611,419,321,119,828,198,541,296,
847,015,737,099,756,345,224,992,143,047,108,353,731,141,872,110,534,063,239,
667,246,583,597,556,907,232,684,221,786,565,705,017,446,756,825,148,370,976,
395,397,823,900,128,594,753,427,325,308,007,814,521,739,136,545,285,092,005,
041,390,389,000,099,822,658,890,494,289,428,417,049,252,537,604,688,690,790,
050,311,290,410,001,998,938,180,536,242,493,651,250,029,443,266,311,242,939,
915,949,778,997,100,233,959,183,095,488,554,447,930,326,032,832,302,623,033,
156,893,489,813,073,050,029,680,478,390,832,338,872,048,021,562,286,731,095,
264,002,725,257,082,181,642,323,403,824,262,378,850,357,749,770,897,005,244,
909,105,007,053,540,025,432,448,399,663,568,806,377,773,278,689,288,407,376,
254,566,903,429,784,982,628,113,333,280,236,056,578,840,559,541,411,784,573,
777,290,633,713,386,474,236,102,746,591,130,886,335,693,099,210,246,226,640,
245,301,892,916,426,933,927,328,422,499,000,405,618,647,518,074,049,810,412,
513,169,688,815,051,472,184,121,322,960,869,871,780,614,004,936,018,823,896,
950,224,790,173,157,828,273,281,072,887,773,963,039,497,198,861,039,657,974,
575,414,397,015,091,943,272,359,530,083,684,102,295,742,667,019,641,942,264,
420,114,336,145,179,516,509,541,004,951,936,269,607,152,745,650,399,582,979,
656,660,666,592,348,696,185,369,078,580,570,328,753,423,343,665,366,292,202,
408,241,813,019,621,826,447,046,346,382,835,760,561,462,676,338,654,408,999,
529,217,348,457,277,751,180,770,433,722,004,200,646,599,546,287,684,023,469,
968,312,038,749,000,276,105,437,055,377,212,381,485,728,768,487,379,028,862,
601,774,554,025,122,561,277,153,894,651,301,997,889,370,112,651,957,461,174,
098,312,482,105,131,211,282,750,544,637,318,349,406,218,647,605,389,436,640,
823,627,514,024,876,597,805,997,284,011,361,523,407,714,412,731,743,162,033,
185,435,307,690,435,706,438,375,665,166,751,547,728,100,169,862,447,031,929,
834,079,894,268,688,055,087,620,352,628,582,874,470,317,378,706,847,608,645,
917,879,224,882,435,829,985,377,834,213,674,680,272,487,865,441,094,844,433,
766,467,906,232,382,208,846,394,601,567,461,868,354,769,591,582,483,493,103,
102,755,933,639,499,955,922,384,977,528,542,743,003,092,204,723,730,211,338,
782,734,377,382,320,677,775,566,474,356,684,176,318,389,449,742,301,335,635,
764,867,664,796,183,426,427,282,584,017,872,456,129,591,598,091,406,721,729,
673,773,360,125,990,150,807,332,233,771,522,359,694,056,551,748,594,640,273,
064,989,733,574,545,632,283,511,015,991,519,952,055,070,833,153,938,204,856,
309,164,492,538,062,643,008,090,964,547,815,232,967,064,847,936,218,560,855,
461,622,372,125,571,872,728,956,213,029,601,196,962,936,842,469,234,664,132,
001,554,410,371,324,446,149,525,858,214,027,352,784,320,363,361,445,921,197,
562,305,243,865,360,917,275,876,751,776,105,526,658,720,531,992,028,139,688,
619,116,179,877,948,953,428,845,104,866,793,889,469,745,541,616,641,827,708,
753,343,638,835,902,978,219,492,277,850,579,853,173,744,624,157,015,779,086,
315,494,683,284,023,027,986,511,686,327,123,324,210,901,311,053,535,002,988,
264,277,271,808,742,587,920,280,350,895,005,066,992,275,831,288,135,590,700,
384,539,717,462,830,553,929,329,929,900,307,947,474,900,819,738,025,154,910,
649,160,929,121,600,300,681,274,016,913,584,153,147,762,433,429,985,605,738,
524,152,467,768,633,737,284,600,848,863,820,130,478,836,849,978,012,487,646,
402,481,411,463,340,692,015,805,745,700,837,724,839,677,648,740,152,664,986,
729,660,828,812,730,587,005,937,860,140,571,157,383,813,844,783,602,224,786,
750,731,069,195,703,805,106,962,615,361,365,219,259,354,191,670,299,713,504,
588,914,570,674,494,648,824,623,905,720,001,742,388,973,439,646,786,750,871,
025,024,335,203,955,795,794,334,615,522,827,280,731,777,808,757,844,464,148,
014,670,234,777,511,694,346,321,595,381,124,615,278,056,566,367,787,969,262,
966,450,645,074,411,095,414,088,921,803,675,210,542,913,726,832,663,131,470,
968,264,792,525,465,501,980,018,618,558,751,276,343,545,498,223,521,054,652,
578,325,865,124,873,601,433,242,349,666,258,093,154,848,312,622,961,993,082,
347,569,016,631,034,422,046,435,027,379,588,020,424,211,195,243,203,278,421,
372,302,294,115,757,854,118,517,070,016,322,202,456,698,543,046,521,497,236,
887,443,718,041,682,076,889,501,286,136,471,110,866,063,965,235,583,594,275,
812,158,258,826,838,928,534,401,344,004,867,674,853,031,501,246,913,359,705,
193,192,237,477,977,332,169,198,678,170,457,008,534,258,939,142,668,756,248,
273,901,119,896,512,718,698,644,807,396,440,158,145,183,576,249,379,655,676,
276,059,384,225,162,182,318,146,247,147,151,183,545,375,185,011,408,259,669,
883,972,070,635,805,492,247,780,846,494,085,171,574,524,011,989,432,119,845,
510,236,660,041,415,117,640,501,718,092,915,413,115,714,175,193,559,967,485,
461,927,252,516,329,101,288,071,944,711,965,101,235,410,660,281,880,089,524,
036,515,127,855,013,168,017,689,869,582,056,338,504,232,203,834,995,742,118,
374,717,627,839,772,488,197,082,692,454,394,047,396,229,637,975,420,762,459,
382,717,329,612,083,333,482,262,173,455,815,345,591,195,927,197,197,955,371,
616,382,645,900,896,965,804,737,678,761,731,945,010,308,772,717,767,577,379,
148,758,716,948,028,821,108,430,176,850,632,117,273,977,458,631,277,155,582,
693,167,405,235,630,133,348,928,293,121,585,276,622,190,277,690,873,561,978,
648,596,447,695,589,101,871,355,168,464,892,010,746,878,390,264,379,987,395,
263,137,563,392,380,338,377,653,730,647,871,011,399,666,658,400,559,339,222,
553,690,188,147,436,544,509,565,916,756,347,057,961,342,805,902,867,278,834,
467,104,422,725,343,395,038,785,063,008,550,881,745,160,893,895,967,383,608,
745,001,681,955,780,232,116,795,002,095,114,553,202,868,216,870,338,075,516,
889,441,952,042,191,945,695,367,072,381,639,005,053,392,683,388,204,269,708,
452,385,863,872,300,044,997,551,637,589,281,597,391,240,409,554,937,079,129,
228,092,051,486,859,268,634,043,763,398,228,210,770,943,223,634,280,249,211,
177,676,644,030,226,934,702,112,011,741,644,743,134,831,314,692,678,365,737,
558,650,436,571,075,741,274,676,890,498,596,846,348,425,432,706,702,914,295,
239,266,779,124,757,244,084,625,192,875,077,982,346,011,946,693,273,149,917,
411,449,840,303,897,713,404,371,362,761,923,796,936,160,803,845,147,072,695,
341,689,667,508,625,117,474,416,130,081,628,665,478,254,993,144,206,812,115,
176,991,065,925,831,282,253,521,848,686,448,629,857,940,273,414,872,728,509,
518,189,914,869,358,383,080,940,690,918,267,082,275,404,170,627,393,564,477,
857,104,625,696,886,432,210,810,568,516,603,441,670,617,443,515,902,765,408,
900,147,037,550,195,900,531,663,785,398,263,324,994,772,953,742,883,551,897,
387,485,367,765,964,365,138,213,561,835,798,057,426,653,319,973,417,310,160,
718,040,282,212,451,371,969,390,319,849,896,033,046,183,474,068,258,099,973,
760,828,317,763,645,543,013,392,180,142,310,041,944,563,557,117,240,651,677,
340,222,353,309,356,829,472,798,360,242,199,094,404,115,691,914,071,765,807,
053,673,332,447,733,984,249,217,022,917,494,076,873,615,588,166,071,057,418,
692,844,350,884,895,241,911,513,235,658,755,372,288,236,161,119,372,067,197,
093,522,516,489,965,009,857,713,811,593,937,884,729,721,965,386,996,750,717,
340,429,955,126,497,642,915,736,246,648,366,612,381,503,207,261,450,585,114,
131,640,110,688,049,767,499,797,081,750,757,059,169,710,761,736,908,480,723,
246,430,047,737,420,493,261,648,482,346,462,163,424,566,268,117,939,152,181,
114,132,477,555,333,663,352,630,767,613,511,910,741,396,490,267,174,561,300,
566,492,470,717,085,561,466,461,458,162,373,049,411,638,431,592,370,332,886,
364,652,518,803,389,344,310,361,644,604,259,013,030,823,207,373,975,346,926,
294,953,807,178,263,888,097,291,685,761,440,375,101,327,864,690,929,450,857,
181,628,541,366,172,926,913,824,493,859,225,200,764,129,723,675,889,236,105,
114,280,319,984,172,802,406,469,441,097,512,309,109,981,301,405,795,952,277,
678,956,956,504,948,762,021,691,473,397,820,431,887,124,241,008,566,403,642,
341,025,042,414,728,978,630,165,564,767,912,784,427,323,130,805,145,470,078,
613,049,687,362,526,751,667,039,798,859,431,817,126,030,864,975,526,896,157,
932,159,864,927,819,345,784,406,877,742,849,994,736,075,727,992,240,789,190,
955,520,381,621,463,640,713,548,224,098,296,398,615,784,478,066,951,709,045,
658,832,721,680,309,075,190,333,306,688,129,363,293,108,627,683,615,001,163,
787,510,613,063,413,354,619,662,301,267,282,821,720,000,683,413,493,565,038,
472,398,703,698,356,270,574,448,639,578,925,486,459,529,070,569,984,534,956,
411,029,289,257,943,134,710,861,103,432,955,821,659,698,347,303,434,169,375,
435,900,849,610,304,822,903,047,413,863,740,565,814,749,963,709,350,917,890,
649,677,543,211,478,763,063,385,030,315,038,669,912,186,627,363,448,973,682,
709,581,724,272,532,577,284,541,321,692,104,692,585,908,278,236,986,645,029,
283,623,735,767,964,253,898,433,478,868,412,854,365,721,286,781,474,854,865,
211,297,657,690,658,152,239,736,348,760,983,774,933,175,463,934,794,689,195,
580,026,123,970,817,892,264,982,568,428,043,186,945,633,913,090,197,364,351,
142,831,208,121,262,919,188,457,447,937,692,555,912,499,682,116,137,174,286,
632,364,034,138,904,791,962,890,319,584,041,821,825,283,989,188,506,540,381,
129,974,603,090,708,498,486,253,918,000,875,376,102,174,271,816,383,318,440,
411,574,594,326,021,077,786,940,238,040,254,119,945,124,085,954,002,007,721,
627,047,011,120,538,462,889,028,234,537,159,829,679,985,119,044,277,739,227,
244,978,457,108,967,563,573,976,046,864,884,281,844,749,717,733,447,639,738,
895,040,187,686,264,752,578,621,470,405,696,509,170,850,390,582,896,520,746,
429,524,368,089,320,164,673,150,760,929,889,913,820,393,023,850,204,283,836,
127,124,971,005,569,427,187,929,515,781,759,670,252,107,083,349,599,365,696,
372,767,991,030,732,731,093,239,522,744,251,479,410,651,386,091,706,028,365,
979,534,791,537,887,864,785,157,152,210,682,080,615,257,732,316,772,442,434,
605,579,827,478,858,658,902,612,110,296,030,863,821,420,171,622,140,011,862,
520,400,558,045,343,509,102,878,369,896,589,416,493,175,287,614,094,870,832,
316,525,893,455,022,012,023,359,698,731,894,612,695,458,201,235,021,874,211,
580,682,141,055,913,447,357,914,325,163,025,241,158,944,138,522,358,662,489,
575,941,703,475,655,659,758,116,142,100,214,804,531,670,486,733,143,730,476,
204,484,332,874,678,604,194,367,012,412,077,019,130,437,365,828,635,653,234,
097,464,087,229,923,183,074,797,410,066,574,735,309,902,613,634,508,201,223,
929,196,960,248,578,760,656,959,993,087,432,827,391,081,904,364,644,162,531,
649,563,809,830,279,001,047,728,681,423,591,749,324,781,790,350,881,706,221,
724,166,877,385,699,335,216,841,240,307,720,632,690,358,322,867,798,286,176,
940,763,241,590,817,582,815,251,707,465,924,445,345,840,637,479,179,243,860,
741,625,376,730,472,250,487,851,366,523,142,974,692,150,830,000,837,155,485,
891,603,300,199,111,283,654,965,078,228,049,451,832,785,959,569,585,288,319,
255,595,155,521,901,618,545,461,967,533,793,849,811,986,689,292,558,852,728,
084,088,631,530,795,252,371,142,765,362,877,959,554,661,356,497,650,552,890,
163,953,978,880,551,652,676,565,907,658,683,844,819,321,515,846,572,116,374,
193,719,359,034,941,041,149,405,766,180,364,609,376,881,193,832,012,278,587,
222,947,538,419,306,920,522,928,450,235,643,495,403,564,811,120,922,493,249,
601,368,265,488,796,410,072,760,382,859,389,384,730,240,805,376,628,499,664,
251,768,863,843,605,265,799,302,353,350,054,659,430,044,087,918,785,783,322,
278,056,559,459,960,936,227,629,415,981,922,995,505,816,918,295,036,306,053,
363,540,581,338,327,541,735,531,737,290,475,635,561,872,891,687,974,598,037,
589,379,734,273,744,730,241,554,128,660,985,134,410,109,021,443,340,484,904,
724,296,448,788,311,124,740,463,151,034,280,244,565,716,432,876,792,369,279,
209,306,667,361,746,607,880,355,887,529,647,868,366,061,342,258,649,492,190,
079,570,566,777,436,093,020,353,692,994,235,634,805,867,502,435,409,785,066,
461,212,523,099,710,047,705,825,049,597,675,008,410,048,784,505,368,088,858,
872,019,147,924,911,998,594,346,851,998,490,651,154,732,248,786,551,535,025,
838,716,523,963,505,882,911,557,536,339,083,309,105,549,025,568,367,723,699,
553,623,311,220,095,519,246,329,216,392,981,823,950,371,116,507,985,961,516,
724,129,628,299,640,584,241,102,750,107,939,300,476,520,704,971,842,364,722,
549,959,460,137,375,912,719,361,014,515,018,353,055,223,394,269,133,091,207,
529,594,857,056,376,351,600,255,432,050,750,193,059,598,604,434,519,419,726,
988,352,399,178,432,653,423,032,168,789,927,559,177,953,805,018,168,213,160,
320,139,241,299,658,114,508,748,293,987,119,832,966,844,154,273,483,754,080,
902,843,393,183,334,749,012,395,726,822,504,921,288,675,952,419,718,215,416,
632,069,173,223,790,854,538,960,741,159,568,850,864,293,094,618,012,334,328,
847,193,934,706,043,574,142,686,592,122,048,968,930,055,097,367,709,051,964,
357,498,309,315,551,538,149,198,656,516,893,333,244,822,088,500,480,922,878,
480,761,396,048,794,320,243,381,064,267,098,423,351,721,701,802,870,878,505,
311,231,001,394,970,876,888,507,786,265,916,135,390,961,860,654,498,041,873,
723,167,798,670,834,462,574,513,799,605,260,495,410,389,334,570,331,654,471,
642,458,587,573,734,719,155,411,176,204,505,773,310,486,142,888,665,865,009,
290,944,738,045,465,820,657,797,669,778,400,979,695,497,418,268,037,910,933,
972,127,988,332,755,950,194,916,266,538,480,101,824,595,601,972,481,468,905,
959,465,670,643,081,406,293,769,585,164,927,927,116,912,594,793,578,279,237,
010,818,896,991,582,324,326,652,851,386,759,176,636,730,825,487,182,690,783,
597,500,561,324,282,800,383,018,749,267,373,437,579,462,183,099,680,538,005,
954,112,312,829,293,140,295,459,553,757,569,197,516,892,880,040,530,788,392,
253,031,632,971,069,907,806,701,394,993,463,344,043,910,122,992,642,306,352,
110,948,988,002,338,717,614,635,825,693,106,897,053,510,587,417,055,893,644,
938,468,814,235,350,246,467,799,215,304,624,045,721,075,787,403,789,305,906,
840,099,451,380,681,561,136,189,241,375,261,918,897,698,020,794,647,811,655,
928,298,533,606,706,904,641,415,569,248,625,651,825,730,302,174,802,417,648,
179,012,060,852,533,027,886,227,340,543,324,135,592,039,345,495,576,887,679,
270,458,422,506,640,716,720,770,262,076,512,079,506,546,185,618,464,816,831,
337,049,383,926,378,382,080,841,247,618,671,401,511,833,260,249,196,663,112,
461,569,729,824,552,030,461,390,038,531,289,260,931,412,458,224,279,706,980,
575,821,099,224,586,816,263,218,572,974,640,278,764,058,461,420,180,292,033,
978,257,933,726,598,129,864,253,268,484,492,583,694,564,750,177,843,285,260,
297,914,975,110,739,429,739,376,359,976,695,690,612,336,133,339,438,783,392,
240,414,414,183,628,293,354,897,190,830,386,371,446,485,283,999,891,276,038,
048,296,375,326,750,285,972,773,107,669,281,490,612,460,560,223,435,608,190,
378,796,256,436,348,369,209,235,414,651,494,772,811,923,133,701,795,612,692,
628,990,326,640,107,069,930,116,531,429,283,192,016,527,397,165,349,053,590,
669,671,266,995,617,217,026,702,371,321,467,085,410,888,427,821,926,438,630,
527,590,368,368,238,225,781,207,541,962,107,341,132,878,633,698,584,994,676,
620,346,402,718,643,155,832,283,592,891,025,177,009,787,121,073,324,456,693,
514,432,371,448,116,972,905,820,557,780,228,482,426,849,411,808,403,516,093,
864,128,235,469,816,668,242,960,816,794,943,907,145,410,764,840,917,466,125,
679,882,615,113,562,022,376,511,323,606,168,017,835,672,729,090,084,034,519,
462,895,371,606,428,300,095,849,571,383,843,061,423,488,335,093,286,159,219,
609,128,358,515,447,286,596,079,991,284,759,032,687,567,916,351,634,964,425,
570,161,407,129,938,690,897,445,922,904,293,143,886,802,717,596,020,428,432,
576,118,607,923,996,895,544,781,102,070,580,570,633,795,903,247,950,016,630,
103,449,462,257,829,143,319,049,164,240,829,373,778,520,751,257,592,604,035,
678,143,112,545,990,789,813,114,106,972,302,752,979,545,344,336,902,661,633,
444,465,540,418,569,059,585,439,946,636,752,895,804,173,662,378,473,164,137,
003,897,726,584,259,814,076,531,463,827,622,964,162,017,429,392,348,395,421,
507,878,674,249,757,255,848,770,410,008,388,234,572,965,074,881,629,682,834,
770,140,697,477,899,871,838,402,823,864,141,395,287,251,342,498,707,543,676,
219,891,219,050,091,013,379,124,839,851,419,484,549,905,041,468,003,909,847,
413,494,642,689,734,607,083,629,015,734,995,053,760,902,534,177,338,373,174,
235,540,726,436,665,025,021,701,270,509,829,470,483,602,963,801,458,112,772,
937,229,757,062,124,230,898,136,300,461,562,376,786,002,303,892,579,850,731,
246,484,727,108,409,222,946,188,992,348,486,699,234,938,366,395,874,910,094,
411,553,742,156,187,947,395,891,206,518,248,282,671,987,145,157,376,861,721,
036,659,865,419,403,047,775,946,428,440,060,560,728,135,741,524,266,655,064,
329,592,356,261,032,187,249,372,606,484,146,111,982,449,637,944,469,627,832,
430,445,551,331,856,183,112,732,992,259,557,028,605,482,699,936,328,953,574,
712,601,050,092,198,839,048,650,699,176,521,920,042,693,327,810,213,706,452,
587,158,101,305,863,443,402,529,227,201,909,105,608,833,047,329,451,113,710,
099,163,915,663,288,224,511,821,625,336,691,135,288,994,770,000,892,410,124,
780,395,056,513,291,490,403,391,101,646,447,719,427,803,551,237,425,018,547,
278,543,930,218,855,107,621,009,505,073,743,853,794,398,292,813,047,193,222,
860,601,294,509,380,129,503,768,508,506,633,993,443,826,157,659,455,253,634,
981,819,616,680,032,652,177,138,099,864,066,303,254,778,353,272,362,833,834,
890,649,720,513,236,118,785,499,195,229,372,750,142,413,611,284,508,489,119,
968,264,211,222,786,481,470,262,963,074,288,037,814,546,849,127,823,991,884,
858,941,422,685,680,311,918,823,382,831,167,369,591,018,554,322,717,015,121,
302,483,729,830,460,379,204,023,513,314,388,356,657,852,444,142,097,580,098,
371,067,085,242,132,614,255,056,319,425,646,382,077,035,929,330,835,400,519,
710,191,750,383,430,522,411,876,388,639,139,030,366,582,792,208,964,220,191,
467,869,299,846,486,205,425,431,319,014,419,916,143,371,564,133,772,196,994,
208,878,923,771,454,109,371,910,144,522,791,662,495,465,651,327,571,848,965,
312,277,529,792,773,727,950,766,687,436,074,953,595,213,842,477,219,940,437,
321,243,820,941,767,463,405,759,193,877,698,762,575,839,214,520,421,314,596,
621,492,828,923,076,453,239,776,541,540,669,089,108,108,935,478,096,050,554,
173,326,598,018,589,530,922,609,804,152,807,735,533,566,823,609,493,805,387,
106,813,668,002,357,860,271,634,274,268,597,151,427,796,277,311,442,035,980,
329,869,653,433,057,445,975,371,736,635,153,982,516,678,220,846,446,695,402,
993,989,502,545,637,348,510,585,444,628,095,698,633,352,102,192,812,416,303,
442,248,812,445,517,481,090,769,942,148,403,369,520,158,527,591,054,504,494,
169,630,829,889,402,274,938,659,292,478,458,482,831,043,731,486,488,708,898,
905,619,282,337,865,099,064,725,289,023,658,268,075,023,401,332,889,156,282,
335,000,985,698,247,552,175,019,375,067,913,569,281,481,595,724,139,818,681,
632,357,362,828,301,007,502,386,043,008,694,219,100,630,736,836,943,362,838,
593,264,175,972,441,549,959,509,731,474,083,052,232,032,331,168,203,649,338,
768,192,982,103,695,361,804,236,994,945,663,178,055,306,236,471,285,449,718,
357,772,115,766,761,621,943,783,940,063,887,012,490,989,828,510,070,850,512,
487,305,526,648,123,875,394,371,365,269,346,032,391,696,776,604,609,476,755,
912,125,229,094,711,605,601,329,798,652,972,215,630,159,765,987,251,968,991,
516,368,305,865,940,767,709,902,693,232,686,483,785,681,983,163,591,245,477,
404,941,982,676,729,845,231,053,456,030,305,267,508,510,783,722,706,974,728,
398,493,364,063,051,534,087,706,178,084,759,076,854,440,849,022,217,171,107,
591,898,355,649,913,124,541,712,569,179,641,591,612,342,457,559,408,449,549,
547,177,742,057,296,963,436,261,193,035,497,952,308,733,660,614,797,924,849,
567,957,389,634,868,344,664,857,347,867,455,033,960,511,513,766,785,516,353,
110,379,403,569,220,954,456,782,625,398,052,338,182,460,344,667,372,519,813,
731,536,889,222,696,418,530,663,907,972,104,572,020,287,230,819,724,503,689,
123,383,025,285,925,051,476,420,697,031,324,548,195,303,219,959,240,921,496,
601,512,517,629,844,018,360,847,150,075,252,658,114,155,976,254,354,874,976,
517,134,331,981,824,847,762,830,585,679,280,573,345,811,807,336,705,512,709,
554,140,052,068,639,840,034,388,735,139,878,311,395,476,394,715,556,641,607,
970,822,180,612,434,987,369,879,010,355,839,370,490,586,096,654,893,855,697,
395,537,574,328,854,728,715,715,869,125,522,757,771,367,541,639,020,512,345,
648,283,181,334,971,500,931,271,331,955,855,603,598,778,818,073,977,940,232,
822,204,193,878,194,290,946,326,536,000,633,485,871,750,203,220,674,366,811,
412,190,242,852,614,722,271,289,372,643,651,347,714,325,846,830,095,262,505,
774,846,245,948,420,606,274,133,106,483,602,273,303,028,658,702,064,340,459,
037,279,697,745,239,224,346,048,254,265,855,696,855,330,947,949,200,209,743,
942,256,365,069,530,208,231,350,493,385,191,694,589,756,726,641,181,717,681,
444,469,152,199,196,850,344,526,500,569,740,429,881,713,910,205,612,342,576,
640,295,711,250,480,339,930,237,182,094,006,097,819,029,696,398,309,849,291,
128,548,197,268,299,825,950,873,423,475,078,046,522,540,899,669,844,081,581,
291,920,726,050,217,544,097,313,306,074,941,636,922,031,755,614,345,721,036,
980,539,529,798,697,617,427,747,512,399,456,580,938,381,822,683,225,754,900,
371,173,883,218,273,473,650,577,679,566,292,028,305,601,184,957,987,091,782,
816,126,674,929,247,790,749,745,874,964,484,434,871,311,247,062,897,511,049,
708,903,109,069,887,449,208,225,239,424,293,712,403,303,245,096,087,470,615,
557,780,649,124,523,685,827,359,447,025,371,361,148,190,144,661,208,846,235,
772,627,403,724,560,581,225,904,343,459,350,210,751,549,107,208,532,193,586,
162,117,938,818,765,086,891,911,908,984,288,046,892,304,746,588,829,504,181,
576,491,800,811,101,166,718,055,564,748,558,556,245,940,264,868,607,824,914,
453,982,707,396,598,521,347,461,289,751,717,138,552,272,022,568,776,413,961,
958,330,880,562,674,602,195,744,916,823,981,543,208,548,072,152,045,139,336,
522,684,523,406,387,071,892,349,160,667,779,078,313,255,341,825,035,019,404,
180,554,001,475,237,547,976,799,382,646,881,511,288,930,240,343,286,113,967,
404,649,189,451,480,979,005,042,114,029,897,206,400,733,958,588,827,599,860,
988,732,401,207,823,091,922,097,753,388,716,700,869,819,289,685,027,617,614,
723,241,197,394,892,019,361,398,253,900,336,652,773,194,697,872,103,611,923,
345,295,285,114,154,669,280,851,338,550,518,934,515,844,636,686,863,317,751,
982,444,138,841,643,308,395,499,670,153,308,002,652,391,379,108,540,120,496,
353,422,839,281,821,496,021,669,575,414,389,292,201,137,303,384,649,429,675,
339,127,881,451,075,951,902,994,320,213,769,572,031,310,056,719,737,997,483,
105,381,554,141,103,911,643,467,213,852,443,676,921,702,692,057,485,165,053,
977,123,347,914,491,790,036,686,081,496,806,197,098,326,606,201,997,507,558,
942,353,120,965,974,301,983,911,806,468,814,702,194,233,949,068,699,516,572,
735,551,559,704,477,503,571,662,368,143,564,940,689,730,122,220,592,276,956,
315,743,484,132,684,767,739,699,085,413,282,971,625,538,715,896,523,956,594,
003,925,609,532,257,104,356,540,279,851,692,662,918,815,119,913,604,508,440,
892,593,906,608,616,972,570,129,424,742,897,583,594,298,212,513,440,087,336,
488,282,169,732,735,824,045,619,126,458,843,246,931,148,630,652,724,750,059,
435,981,173,720,310,284,252,321,026,368,202,026,306,493,019,724,381,495,989,
515,012,091,227,582,793,919,754,140,223,888,364,885,007,558,355,188,171,411,
047,355,526,531,984,980,779,728,962,585,543,417,918,988,296,033,221,891,216,
154,986,334,480,577,083,091,439,119,415,589,240,736,830,772,439,458,483,574,
245,970,576,524,698,611,880,060,102,352,698,239,402,478,678,099,026,165,845,
673,672,025,682,693,343,954,069,508,601,288,012,268,784,915,990,155,624,496,
826,794,499,041,875,223,538,575,471,102,073,351,122,512,231,803,908,575,706,
997,629,532,129,699,716,989,952,003,707,270,200,692,887,949,572,195,204,727,
109,232,224,833,103,077,024,158,948,614,883,004,705,024,289,048,627,941,821,
746,774,409,368,514,476,536,111,499,287,893,009,926,521,862,691,172,176,969,
730,921,880,645,790,121,358,440,060,411,447,721,891,728,780,446,597,429,193,
491,201,033,867,742,019,662,533,009,211,871,830,770,003,926,943,499,553,320,
113,797,062,125,378,297,132,159,224,419,688,558,741,144,261,788,045,942,009,
494,796,683,864,196,556,636,501,303,965,995,233,948,151,956,071,610,192,760,
204,216,636,947,089,317,666,811,683,869,905,939,600,145,041,694,568,719,657,
877,973,692,608,940,472,497,740,447,498,788,213,888,970,198,684,109,283,716,
094,545,947,302,381,673,241,781,127,259,943,390,156,831,460,734,992,431,719,
238,442,072,378,399,958,197,990,917,045,884,562,223,816,332,916,500,908,635,
933,862,099,715,126,003,599,731,843,006,118,981,240,699,797,399,926,870,146,
530,187,322,607,878,704,013,610,312,749,923,012,782,108,793,147,015,857,766,
749,273,003,194,191,294,007,771,400,359,497,221,208,839,980,479,827,010,615,
278,073,221,764,244,095,720,088,316,821,156,644,602,222,072,718,452,187,792,
954,361,772,295,136,334,279,560,213,332,703,665,880,440,234,146,353,424,894,
509,482,075,761,743,160,957,889,518,950,783,282,037,181,408,060,445,348,074,
796,107,311,011,471,664,584,236,076,632,033,033,501,890,284,951,062,576,505,
495,249,341,339,751,534,555,676,551,529,473,601,480,275,479,018,398,949,957,
911,377,581,412,801,415,723,132,879,220,015,412,226,720,235,262,743,956,973,
557,323,927,707,795,425,494,298,659,339,256,038,985,034,598,469,107,185,812,
885,329,207,727,526,910,304,871,589,143,594,548,261,696,441,323,829,446,051,
586,000,620,632,326,767,427,801,733,438,870,246,239,831,277,757,412,222,700,
990,906,984,973,861,045,256,937,374,642,437,295,029,685,458,717,302,527,363,
520,990,471,426,418,549,058,180,089,527,083,978,384,369,710,350,931,977,866,
366,624,028,777,384,853,502,201,065,925,869,741,310,494,240,103,018,919,316,
261,740,299,100,429,344,670,219,431,545,824,404,079,668,024,633,001,669,153,
609,791,174,885,049,796,095,684,727,721,047,390,096,982,712,561,096,581,491,
161,433,332,920,524,971,268,484,037,731,538,450,489,276,290,234,457,151,226,
167,738,643,623,182,240,659,730,208,725,548,899,574,687,659,722,513,536,039,
225,843,357,267,066,129,302,245,955,418,938,902,823,870,989,808,272,093,580,
679,422,114,053,821,425,759,763,015,028,215,095,624,587,921,426,758,342,703,
359,404,617,623,566,580,721,290,497,983,996,948,638,191,878,109,179,206,998,
992,701,202,721,603,076,316,029,967,358,723,812,837,545,608,498,687,028,650,
896,401,854,736,803,790,019,297,155,797,598,956,316,319,415,284,343,166,460,
087,367,142,508,486,817,626,114,529,875,302,613,823,227,416,046,392,338,433,
162,563,860,328,368,840,088,945,552,631,855,192,940,734,234,462,230,776,281,
095,334,264,633,886,183,415,204,819,599,455,771,174,912,198,991,405,280,726,
061,437,329,908,377,347,912,942,433,938,989,738,145,984,517,446,560,322,821,
715,443,107,980,524,435,890,970,528,673,867,769,528,015,002,822,134,399,923,
320,982,348,938,340,870,394,256,799,512,331,814,088,199,226,702,589,605,478,
715,045,245,146,876,758,110,700,989,992,651,335,097,702,982,125,666,964,458,
645,944,356,251,826,533,137,148,179,668,570,140,676,923,681,606,676,074,140,
006,015,070,580,323,595,875,217,158,866,121,999,372,236,554,755,657,703,033,
841,136,385,257,883,660,017,683,186,948,746,110,903,231,586,055,540,170,887,
982,804,316,084,972,269,267,139,283,937,080,590,777,920,869,256,334,175,725,
492,134,041,456,657,091,374,417,395,921,939,023,833,508,104,020,329,157,310,
358,856,589,788,469,835,780,564,750,689,117,066,748,097,993,859,060,941,034,
151,173,196,697,411,956,831,818,491,283,539,450,505,625,448,729,228,559,127,
823,938,046,691,254,844,584,135,422,396,188,602,532,017,783,091,761,060,867,
523,814,227,367,022,283,434,100,617,903,209,205,998,487,170,928,798,862,527,
900,894,019,792,632,705,054,924,000,830,329,449,386,896,158,736,439,705,164,
654,483,610,793,104,778,443,542,148,530,257,508,430,032,527,745,540,479,138,
565,359,002,094,881,445,071,781,754,968,774,477,158,770,012,798,204,765,008,
867,255,792,679,807,505,213,563,146,437,427,330,492,431,707,534,584,042,945,
304,049,622,899,557,020,466,625,806,813,826,799,177,980,623,256,369,608,827,
376,227,705,278,305,507,136,015,580,501,066,790,204,788,830,718,980,617,889,
616,459,564,929,361,512,126,647,063,233,549,208,537,386,464,275,157,447,366,
212,843,551,187,480,391,837,287,223,318,475,490,315,505,729,725,774,251,525,
519,545,326,947,087,223,718,049,716,485,433,936,550,819,981,772,310,671,251,
589,634,790,808,749,043,342,168,398,190,444,840,555,727,151,382,770,100,585,
455,019,075,051,356,490,707,682,912,698,767,220,999,099,242,446,596,171,411,
871,381,390,779,238,393,202,654,924,180,849,504,212,857,376,199,624,787,295,
016,054,742,952,541,881,034,018,680,757,954,109,593,967,686,400,669,808,241,
450,253,835,978,469,373,893,890,133,731,476,845,496,076,590,805,274,203,387,
499,668,455,208,360,205,977,738,014,001,460,948,543,074,650,854,364,744,211,
926,762,465,418,197,526,961,713,875,451,797,931,421,825,270,103,046,890,569,
440,439,373,557,256,784,487,823,933,565,635,855,213,474,896,071,449,492,785,
786,250,700,524,002,448,076,430,187,638,453,467,708,741,283,333,702,606,223,
212,002,097,252,476,455,276,039,816,951,675,544,294,424,672,289,248,465,191,
158,170,325,045,583,588,455,377,682,425,446,473,787,845,605,000,341,748,121,
561,027,828,100,605,351,794,389,912,451,337,297,579,594,323,478,527,883,075,
713,694,839,151,742,859,631,349,381,690,778,554,780,511,146,961,674,580,336,
230,895,343,392,430,655,212,058,549,100,010,143,386,968,580,450,905,727,634,
445,426,089,024,180,958,101,594,576,547,864,967,479,612,823,073,437,527,398,
154,527,354,867,220,935,150,946,104,054,664,478,674,506,679,041,132,566,337,
662,140,239,771,135,941,829,400,424,144,008,355,291,623,044,793,228,211,712,
880,310,203,250,576,929,807,174,719,084,793,636,910,444,026,105,187,950,333,
126,003,184,440,247,239,221,463,456,362,157,888,359,898,071,568,000,968,779,
212,398,622,311,565,360,076,389,363,695,012,349,191,596,984,819,356,349,247,
904,211,349,626,959,911,735,142,974,385,344,167,134,555,105,935,689,301,276,
214,201,019,299,110,668,543,384,318,851,928,837,759,894,440,891,083,914,457,
339,538,942,620,009,609,600,349,843,255,520,893,244,312,679,617,894,598,808,
173,980,243,916,968,130,427,698,076,748,315,277,372,706,840,946,865,894,093,
987,771,952,176,466,104,063,374,678,228,110,938,047,199,446,131,644,539,576,
354,685,280,227,872,818,047,345,969,185,606,305,074,709,542,685,958,310,043,
685,051,100,784,195,597,454,542,473,835,744,340,640,836,922,803,869,597,475,
527,747,523,604,016,847,596,427,078,353,167,342,158,334,427,425,259,341,532,
789,601,577,690,889,712,684,314,864,450,081,568,898,030,913,608,023,391,375,
748,586,096,501,054,622,947,424,440,694,778,149,961,556,870,103,209,050,592,
442,577,979,137,116,626,613,256,903,192,219,929,132,202,628,355,039,594,539,
085,256,123,084,001,872,525,979,916,761,497,735,302,541,053,506,218,034,326,
023,076,368,151,110,362,844,061,458,014,015,518,415,208,627,486,555,608,243,
691,183,261,719,335,119,021,636,989,081,568,013,740,930,767,203,528,340,257,
088,875,737,347,916,103,812,832,346,320,051,336,651,897,040,898,163,534,311,
705,213,223,860,741,740,368,039,677,180,799,518,277,707,705,250,672,837,341,
421,936,680,775,941,709,708,170,099,331,297,682,996,835,812,488,879,235,338,
481,885,170,677,603,456,901,043,488,695,231,968,792,446,146,776,698,211,082,
423,083,578,152,125,952,395,331,766,184,098,931,924,069,049,473,773,920,800,
649,936,393,833,229,575,058,413,970,013,578,348,935,679,080,271,042,701,685,
920,500,037,449,415,798,465,425,533,606,066,242,335,004,496,022,554,144,942,
027,015,694,515,823,459,890,883,578,857,044,210,936,579,732,329,496,066,402,
531,616,342,449,625,219,416,580,326,847,430,134,825,492,333,140,732,948,039,
554,914,100,396,914,486,549,261,140,090,798,594,310,900,712,881,478,764,506,
011,077,936,277,664,388,780,405,677,684,004,830,046,643,033,547,675,695,656,
048,455,701,813,194,983,716,550,181,758,654,347,724,378,900,587,670,653,705,
022,445,952,156,630,128,752,227,530,627,413,777,244,047,125,822,028,428,996,
790,944,220,121,369,070,326,238,719,757,180,118,030,595,373,638,136,853,795,
040,948,434,323,611,197,645,061,948,194,003,329,683,102,549,603,653,060,910,
574,580,922,279,981,962,895,682,174,199,469,948,925,433,304,473,735,397,677,
236,073,704,178,793,088,088,651,246,205,049,327,226,664,133,336,452,671,776,
353,957,043,052,693,499,408,492,862,548,537,319,282,788,010,358,179,411,761,
845,554,346,686,376,387,713,674,138,041,529,139,089,782,777,550,994,715,363,
932,979,090,330,776,390,281,527,952,632,126,594,344,987,549,273,476,970,214,
866,621,012,680,528,465,552,844,204,847,897,613,532,054,091,946,826,190,193,
407,237,771,102,873,739,448,499,570,778,592,334,726,473,475,956,548,314,229,
701,943,328,596,063,313,408,693,056,932,456,676,132,246,186,187,337,729,443,
992,565,948,636,803,250,337,864,851,526,762,064,443,632,825,386,768,130,448,
625,291,534,874,195,150,753,543,458,312,897,100,444,069,780,218,520,976,929,
276,954,173,107,118,827,095,251,077,116,667,707,264,446,723,908,326,709,437,
371,552,799,046,520,360,672,660,099,208,139,633,640,161,788,202,344,941,063,
717,931,835,452,010,444,831,908,730,785,624,527,282,312,375,968,235,131,471,
987,934,744,616,727,322,609,857,748,012,626,572,128,829,404,539,038,411,690,
736,696,886,695,121,703,522,863,481,080,409,797,222,104,441,970,872,820,520,
008,269,423,777,159,827,477,974,782,594,761,843,728,149,498,757,709,949,502,
372,894,617,980,973,894,814,789,622,032,842,086,560,557,576,192,082,497,910,
591,592,406,096,760,127,205,052,648,182,147,560,032,241,043,856,206,325,815,
996,143,244,440,717,793,873,533,850,988,752,106,799,721,220,510,218,228,437,
867,179,641,170,338,925,162,084,998,944,639,778,337,619,703,262,434,346,574,
975,935,779,071,969,765,175,674,183,957,206,880,238,554,247,216,564,550,698,
529,677,549,187,405,366,443,500,397,724,597,920,462,968,725,865,096,466,304,
516,300,165,970,856,734,043,753,894,103,893,569,903,076,866,434,331,584,795,
196,395,771,331,199,717,962,443,273,159,620,461,650,462,165,519,539,058,585,
807,028,360,970,534,497,511,030,356,849,523,337,666,688,968,125,184,321,763,
302,006,041,529,523,413,744,562,125,548,237,611,126,152,300,301,751,699,634,
029,322,409,857,754,075,413,362,613,139,674,994,671,395,416,689,349,392,851,
797,703,586,771,472,302,857,568,351,789,579,832,044,223,801,410,408,232,911,
076,149,964,576,932,449,974,305,566,668,899,902,156,589,440,805,312,748,754,
119,966,919,135,216,745,660,271,094,391,882,877,526,710,426,127,647,516,980,
622,722,161,979,439,328,246,336,771,749,846,255,135,835,247,684,062,268,335,
398,099,362,569,407,726,154,024,265,039,394,916,235,180,655,486,027,819,435,
117,865,588,990,903,339,209,720,015,830,673,697,739,239,545,888,538,702,687,
205,691,009,466,975,019,620,482,236,888,680,375,255,528,352,451,949,629,907,
042,996,191,565,144,852,158,521,037,683,543,984,946,245,460,650,030,627,948,
337,729,330,902,210,703,910,487,342,278,757,483,616,917,181,012,556,971,980,
928,456,172,034,091,836,159,008,650,218,728,596,706,162,996,404,232,928,737,
695,440,129,602,950,002,623,224,425,426,906,390,994,278,172,249,691,857,590,
993,053,052,311,831,383,673,317,740,236,630,876,309,444,677,205,032,136,290,
699,390,176,437,774,278,164,307,467,091,401,784,602,221,117,492,985,223,061,
980,312,839,538,990,150,445,263,987,347,079,516,181,290,712,080,500,545,898,
365,675,652,054,631,930,695,625,767,645,443,935,118,785,670,185,524,943,083,
690,089,234,044,058,946,320,466,532,828,592,234,861,220,989,399,033,046,401,
189,452,752,481,287,908,558,139,778,128,875,385,734,609,688,586,449,432,337,
117,414,998,969,635,245,629,863,248,202,292,928,695,288,562,526,220,534,600,
807,401,546,748,932,086,005,469,532,138,834,112,962,772,338,389,506,227,666,
773,864,298,862,574,184,817,885,352,835,774,121,533,546,575,479,576,265,503,
991,703,635,794,310,848,261,910,737,566,523,332,549,840,022,842,507,739,649,
827,511,431,474,925,893,420,887,560,685,077,038,750,484,997,552,886,529,510,
149,855,673,751,003,414,549,750,835,809,487,611,690,163,690,298,015,420,625,
779,601,832,358,788,013,220,851,113,323,347,438,845,164,079,423,134,867,856,
583,509,930,645,324,315,590,750,562,044,581,580,309,694,862,817,221,749,987,
858,778,871,673,647,542,096,054,863,740,925,005,785,391,254,139,556,537,330,
049,512,343,544,428,019,189,463,409,905,531,453,024,933,534,297,013,454,358,
007,016,937,996,679,539,037,473,662,743,062,138,817,239,966,724,753,115,498,
820,439,057,675,448,972,551,214,375,298,543,227,678,658,745,924,846,928,101,
391,287,833,837,278,817,331,200,384,088,195,774,320,625,713,785,917,491,668,
699,998,487,384,695,432,329,846,689,786,153,607,091,391,845,521,673,965,783,
886,309,354,520,869,483,079,824,873,160,168,308,621,803,222,172,765,743,349,
087,761,806,934,447,119,005,490,137,108,033,262,784,249,804,374,917,165,696,
001,748,773,533,001,957,183,860,123,678,895,716,282,778,451,766,620,595,124,
243,301,968,591,280,308,916,590,603,667,124,932,744,719,610,942,370,175,032,
016,971,215,109,698,729,539,849,874,268,082,365,614,934,560,763,587,293,190,
601,084,229,127,541,765,604,329,030,866,519,530,440,483,429,455,850,691,435,
713,942,660,701,568,338,447,003,596,490,114,956,405,547,250,735,293,802,707,
429,745,106,981,599,694,694,644,057,827,288,206,702,284,140,037,604,050,762,
844,845,343,630,040,005,474,760,217,740,843,863,180,940,138,758,236,934,032,
318,544,441,678,415,816,201,803,548,199,864,043,713,200,918,171,699,751,933,
757,741,641,451,107,710,464,650,180,753,272,601,155,800,458,594,972,598,585,
602,922,084,582,080,491,012,623,638,774,880,088,488,388,427,347,753,090,637,
299,003,554,646,496,354,508,533,677,686,844,756,935,085,375,273,486,833,194,
213,425,478,505,272,910,078,107,213,438,454,373,414,206,723,791,370,128,112,
879,978,030,909,495,183,036,624,209,051,051,644,120,989,874,343,396,823,671,
657,027,664,695,255,668,904,250,185,713,415,503,052,035,910,159,540,803,642,
540,097,026,277,880,252,791,566,196,950,714,424,257,665,011,570,002,212,389,
025,902,986,469,547,775,091,420,593,353,355,006,851,962,269,116,389,095,954,
842,149,480,889,027,447,388,843,512,261,818,307,288,726,684,917,344,766,975,
183,295,149,492,970,980,729,047,122,272,043,886,725,928,333,731,229,472,365,
863,904,907,577,812,026,101,950,175,456,249,504,830,250,210,899,645,777,137,
189,541,711,744,083,271,208,745,800,683,199,813,099,620,552,082,377,592,817,
476,014,632,115,741,359,379,997,541,417,577,451,711,203,736,973,183,636,562,
575,433,587,499,007,827,878,727,288,058,720,360,872,521,565,414,189,547,122,
337,772,098,864,007,540,751,465,687,128,099,220,174,112,758,711,791,636,944,
030,642,127,179,276,055,462,658,128,858,547,458,947,119,934,055,302,915,277,
413,193,107,866,868,452,294,134,876,788,531,438,879,073,058,130,277,069,125,
009,153,000,924,989,646,461,220,783,508,123,593,354,802,391,743,813,103,558,
503,146,572,311,388,577,928,963,570,558,160,252,944,184,469,063,537,610,450,
058,337,773,625,594,504,252,425,003,649,047,490,962,629,532,272,710,592,670,
621,537,598,649,811,344,512,991,364,361,371,613,425,064,329,137,177,429,891,
571,178,494,751,352,073,657,067,769,047,374,805,550,410,340,368,717,661,552,
798,111,869,163,705,391,090,201,647,086,807,647,656,691,180,093,026,399,533,
052,054,694,951,323,048,594,842,006,503,327,760,868,901,812,009,702,968,534,
784,580,075,665,733,482,436,065,515,735,507,276,699,971,278,113,189,365,995,
349,107,261,932,699,909,273,674,314,265,345,634,896,648,330,851,379,864,874,
978,492,694,654,561,164,045,755,000,029,084,068,368,358,934,593,246,322,784,
952,990,218,326,745,002,586,638,999,772,181,207,792,118,320,708,831,144,307,
175,190,033,435,262,410,527,659,506,527,425,448,592,937,679,014,221,473,918,
018,584,985,513,021,184,391,867,624,501,772,014,941,969,647,363,839,244,728,
508,454,453,486,810,686,292,912,362,805,689,481,130,775,323,364,693,295,760,
623,017,180,645,356,089,407,979,572,326,821,998,335,171,297,785,819,654,359,
048,634,642,450,208,733,283,350,496,812,099,921,583,642,849,724,028,209,951,
040,670,919,355,288,185,972,406,982,157,215,774,198,663,366,586,825,661,428,
628,660,003,956,994,451,533,393,026,023,533,959,251,206,758,225,343,246,265,
139,994,392,035,503,070,342,867,245,364,238,464,306,609,819,772,492,386,003,
834,883,599,848,987,051,523,577,551,041,581,549,997,240,177,503,331,623,961,
773,704,134,277,498,229,472,906,004,679,771,535,876,743,937,568,100,107,102,
227,889,476,133,874,373,364,834,794,302,133,990,323,687,435,741,909,806,083,
088,206,307,381,486,079,605,728,297,530,984,088,351,745,613,979,681,776,751,
411,561,580,413,118,079,932,138,207,143,065,999,135,019,700,867,772,265,943,
020,974,123,086,827,975,904,685,964,587,818,561,660,196,076,298,858,553,923,
182,006,045,305,085,911,486,402,936,340,490,849,419,651,367,604,629,968,665,
980,583,599,764,735,501,473,709,288,627,250,111,936,838,651,007,202,008,612,
418,381,489,961,530,850,209,832,513,954,243,651,199,440,935,674,852,504,181,
398,877,356,182,051,804,086,483,683,838,967,645,802,713,605,213,091,558,691,
021,725,148,468,019,087,310,854,187,139,438,650,875,958,073,375,871,919,610,
186,033,816,495,199,426,294,552,462,929,396,096,339,246,125,903,311,911,431,
345,308,517,700,685,239,249,378,730,256,404,222,345,903,230,037,901,897,990,
871,845,210,589,362,986,870,350,045,279,952,047,850,397,164,472,499,672,068,
260,595,481,851,180,151,955,580,899,305,025,772,048,767,128,923,700,322,985,
732,163,173,931,635,804,675,378,922,185,854,232,388,460,866,065,254,946,607,
251,276,901,485,396,699,011,556,116,536,182,235,748,172,308,391,109,390,011,
201,321,040,795,425,827,617,498,014,174,493,790,785,421,849,764,026,313,242,
319,699,838,220,454,001,360,104,205,308,841,020,382,295,430,065,960,381,519,
437,712,024,887,094,081,755,873,819,131,574,450,600,185,239,860,661,007,092,
162,417,862,505,240,450,207,027,701,132,243,288,590,381,363,739,383,344,819,
155,680,212,198,346,962,267,919,898,291,321,409,306,777,808,645,631,736,252,
635,691,944,356,834,413,247,368,617,211,652,034,849,048,469,256,849,922,955,
082,118,084,090,726,945,123,449,931,746,509,238,669,699,727,941,119,317,228,
449,412,718,786,981,085,824,567,766,528,284,856,989,688,144,332,723,424,446,
859,755,370,396,950,637,266,562,955,515,456,067,833,556,517,506,603,480,115,
277,508,800,656,453,102,547,335,241,582,865,000,739,609,613,775,757,163,316,
023,773,667,860,223,869,689,522,818,496,661,826,337,263,502,819,085,844,294,
157,405,332,313,713,509,298,478,343,791,238,448,108,708,625,488,320,191,981,
478,846,393,466,816,717,901,012,498,693,651,132,254,254,116,919,625,600,586,
473,712,934,796,214,915,525,508,467,624,311,549,723,836,714,029,230,939,196,
330,648,105,362,963,849,968,641,657,957,053,220,562,731,673,222,004,007,899,
903,330,421,980,803,342,583,212,771,815,536,963,170,716,687,007,163,615,778,
624,499,043,184,651,104,918,513,382,624,926,524,279,472,443,677,426,959,787,
359,293,936,430,152,501,307,634,798,466,924,483,877,553,645,162,107,152,428,
328,945,440,734,248,656,809,517,757,005,737,579,920,090,790,480,672,796,114,
388,146,252,986,540,340,082,066,827,798,146,526,432,834,033,458,091,216,005,
875,230,538,310,391,966,584,166,234,436,054,367,483,147,590,835,988,825,663,
517,962,036,272,866,468,705,009,704,905,359,617,868,627,533,270,079,311,027,
998,661,727,589,566,505,253,328,212,585,762,114,350,204,880,383,390,474,772,
637,681,046,906,216,676,913,128,364,336,032,617,200,987,125,105,121,851,988,
851,377,566,168,477,335,510,356,698,085,978,823,311,316,129,341,965,510,155,
884,718,487,515,985,661,846,340,095,664,964,866,242,291,218,748,979,816,049,
770,877,847,089,645,898,674,974,280,288,373,563,450,089,945,912,143,795,087,
641,058,934,765,304,594,982,558,707,479,990,164,909,518,102,000,623,001,054,
074,861,192,652,473,936,970,742,367,224,908,079,238,717,408,762,283,621,352,
125,474,091,284,086,882,535,289,715,460,733,560,386,106,097,089,456,927,466,
451,176,861,789,236,144,807,377,450,796,686,503,115,834,004,945,199,266,543,
147,236,116,314,108,350,922,803,283,762,365,185,202,588,764,301,829,985,829,
604,221,516,308,480,790,324,597,295,678,372,478,756,739,160,458,632,262,494,
337,008,245,243,536,954,126,496,927,775,610,146,457,211,853,438,613,620,903,
194,213,022,718,824,935,125,234,742,530,620,498,195,502,209,263,998,579,538,
408,833,485,511,141,913,311,228,688,480,312,847,562,467,201,056,654,113,592,
534,754,681,059,887,907,557,657,084,545,307,881,954,489,813,856,894,178,882,
832,264,620,154,199,932,614,729,153,664,330,468,986,723,404,832,631,596,293,
879,242,241,223,053,735,496,458,711,102,489,109,442,845,814,255,410,774,767,
569,428,545,738,306,678,148,031,489,676,444,771,331,073,816,195,299,599,236,
201,717,015,994,204,590,836,460,792,478,851,663,852,165,937,376,337,482,281,
557,711,910,687,304,722,687,559,086,795,907,232,404,779,870,577,671,228,953,
970,791,781,208,977,441,753,065,371,046,636,280,962,269,818,428,884,920,909,
851,675,362,930,629,948,534,704,577,244,850,587,134,689,876,068,569,913,872,
182,722,318,102,705,327,456,228,403,376,514,428,425,376,629,391,460,668,214,
405,224,411,195,004,235,975,578,813,459,920,466,836,163,641,964,371,915,404,
698,816,368,957,878,311,482,593,025,774,424,787,437,990,518,407,624,233,553,
711,701,036,384,154,217,949,311,966,857,739,713,755,751,508,065,894,718,955,
669,728,703,294,366,428,709,829,691,335,918,514,834,097,880,198,350,208,997,
979,292,513,602,451,238,492,475,814,755,938,035,243,014,058,904,995,471,863,
767,157,274,303,159,384,505,012,416,692,245,158,981,171,257,816,075,134,566,
027,842,311,413,254,348,838,406,872,261,156,913,797,945,039,442,149,228,238,
337,081,382,476,020,340,423,849,555,886,357,828,174,226,411,415,152,939,188,
234,577,998,716,459,932,551,943,894,848,117,226,852,922,131,656,727,338,057,
373,987,082,457,776,828,700,630,498,141,124,189,888,421,293,986,258,799,217,
294,013,103,008,089,219,176,090,166,492,179,214,582,373,596,847,765,560,618,
929,823,737,159,175,431,583,457,110,980,806,512,669,432,799,317,186,324,999,
732,432,123,869,380,024,586,349,218,072,616,697,142,131,994,914,028,507,043,
808,630,064,440,576,287,571,294,543,013,368,349,268,100,325,768,741,119,322,
221,548,871,852,045,848,959,599,936,377,586,609,390,401,269,955,470,877,928,
262,909,583,740,028,352,868,700,387,691,454,985,065,768,786,477,414,573,841,
325,226,397,140,768,990,634,136,399,107,972,344,635,726,935,180,826,169,287,
508,057,079,522,309,032,493,998,172,997,259,512,848,502,336,078,746,740,523,
360,789,991,326,278,010,465,480,844,886,693,735,735,654,861,544,145,792,576,
029,712,499,044,022,395,200,753,263,050,725,161,962,439,643,003,286,899,792,
106,597,975,906,422,882,128,961,117,536,782,976,844,277,798,834,506,605,488,
758,946,571,064,268,724,349,215,861,589,715,604,604,857,980,400,115,236,755,
798,457,574,215,938,772,841,767,459,057,203,430,121,748,080,765,164,777,948,
173,426,964,257,588,436,293,843,372,342,078,189,585,882,978,529,723,839,768,
040,894,567,161,718,605,418,184,159,176,276,151,373,289,403,399,762,935,144,
643,278,300,899,484,417,689,888,998,646,078,212,887,220,554,407,683,876,184,
481,250,924,846,093,408,357,039,191,650,758,618,429,036,358,834,427,925,474,
719,740,610,777,244,294,250,183,774,263,186,619,133,747,210,012,438,000,115,
268,515,714,206,460,985,188,694,001,799,499,978,704,243,872,735,416,009,802,
450,593,308,431,635,372,675,095,534,202,720,200,871,768,441,176,180,626,260,
357,263,841,230,298,446,807,969,677,976,933,979,528,490,341,981,364,477,467,
474,291,238,029,692,109,169,863,600,219,221,518,273,266,476,725,832,687,582,
035,558,361,851,307,051,247,508,491,016,345,772,731,231,428,104,506,624,844,
290,299,125,051,902,607,298,396,691,661,533,221,391,662,679,222,213,012,826,
884,740,227,354,392,230,679,505,081,480,305,501,419,483,271,359,934,687,269,
184,222,754,279,497,609,412,396,045,183,437,468,047,054,018,867,834,894,772,
560,898,552,713,668,662,527,996,559,046,102,544,201,189,660,326,387,567,139,
801,565,781,074,040,657,243,286,988,259,160,569,175,698,888,874,194,930,744,
970,047,249,794,142,654,733,860,112,461,120,126,757,561,372,667,738,225,358,
902,592,072,104,512,757,361,366,855,443,914,314,530,033,421,471,697,800,001,
734,902,075,902,739,037,455,438,316,005,485,649,725,223,736,937,574,732,343,
665,842,940,337,032,441,971,247,274,406,863,779,829,122,715,176,043,548,391,
680,786,078,170,944,395,355,669,708,830,784,830,511,251,093,081,280,245,304,
871,432,839,748,649,007,429,183,189,928,185,802,463,532,327,155,470,681,362,
760,860,658,052,881,976,415,104,664,044,231,923,135,438,504,381,882,166,828,
202,099,320,170,662,485,737,171,406,924,458,608,491,074,043,435,386,068,218,
033,571,338,501,712,828,285,525,837,693,265,037,695,624,392,527,014,046,476,
534,222,931,640,173,220,251,877,011,165,905,772,592,779,715,072,113,252,225,
006,458,516,077,538,937,934,767,429,645,706,327,338,958,350,301,676,337,741,
215,288,413,846,668,425,984,354,588,398,890,607,025,184,490,140,265,975,470,
002,176,511,657,572,963,986,829,945,617,363,377,907,553,926,124,066,239,780,
414,152,489,075,592,139,821,428,470,944,552,803,349,165,140,724,746,485,242,
210,922,333,073,842,989,267,669,218,084,457,581,016,934,381,109,904,030,539,
015,592,202,077,114,471,200,255,743,254,944,552,055,180,324,045,790,052,937,
280,008,616,362,998,404,309,550,378,253,903,299,133,723,533,326,116,685,217,
943,803,363,999,275,443,820,864,488,697,800,347,087,513,181,601,876,592,187,
182,784,745,481,622,045,286,710,655,273,138,559,719,165,978,850,263,478,421,
806,305,545,075,353,681,893,835,477,907,680,733,350,486,955,230,944,655,311,
384,887,351,346,270,129,432,554,870,409,725,665,509,862,918,596,508,262,784,
125,581,268,315,298,009,263,611,757,966,058,785,895,272,953,207,937,741,008,
600,768,298,805,899,933,092,944,713,009,066,187,002,252,495,058,510,473,896,
268,313,730,112,169,827,117,918,480,771,276,546,400,244,949,983,103,427,402,
879,212,335,997,174,190,325,333,386,005,924,112,586,116,767,451,074,769,427,
822,148,058,476,006,164,185,552,239,981,471,074,356,998,086,680,204,076,713,
741,632,168,671,027,723,397,816,951,373,736,833,294,862,456,420,739,835,864,
305,928,419,377,605,296,614,943,691,176,419,978,766,734,872,379,273,856,379,
628,737,286,073,593,310,104,477,394,248,305,418,067,453,332,850,075,843,430,
711,198,582,867,042,105,005,704,548,779,974,457,429,533,229,360,082,967,936,
422,628,152,776,748,771,305,067,025,149,606,848,503,032,202,717,228,540,489,
013,236,135,903,416,839,097,127,681,814,027,967,204,462,329,605,419,653,619,
453,555,603,139,170,236,850,723,722,008,623,057,268,985,366,790,376,906,479,
479,790,443,311,460,433,910,028,407,362,142,801,182,689,572,644,378,856,766,
317,266,417,029,074,150,795,830,418,717,397,685,579,991,957,254,017,193,586,
975,730,020,597,649,833,878,217,451,792,377,221,423,194,709,876,002,836,339,
296,676,461,283,802,487,063,896,680,105,722,466,987,609,543,559,491,837,506,
205,770,669,006,191,254,010,338,302,851,805,806,080,409,748,544,726,769,511,
423,020,529,084,019,397,893,317,327,836,260,178,647,673,373,120,612,672,394,
575,418,421,298,372,568,212,091,091,928,005,651,258,108,081,321,767,005,355,
600,435,285,509,437,459,519,267,186,816,234,328,334,426,001,767,830,148,066,
102,233,141,006,335,905,956,129,960,015,221,535,695,935,988,398,910,818,116,
031,876,537,975,673,284,755,113,315,870,310,566,272,607,217,675,280,488,144,
014,726,605,072,886,582,891,381,264,784,749,948,252,558,502,355,034,823,045,
448,571,668,471,849,548,230,527,724,347,593,045,069,794,623,219,136,251,116,
730,088,359,093,021,290,953,778,669,773,780,947,435,246,608,966,276,643,866,
347,939,671,129,225,847,866,403,906,163,057,847,420,766,995,200,279,825,397,
976,575,519,782,347,541,025,662,300,390,690,967,724,513,998,757,854,728,828,
314,728,367,575,283,347,864,131,612,857,307,735,021,767,336,811,581,195,259,
103,044,100,850,583,081,495,405,120,320,048,883,557,431,893,002,909,336,834,
696,820,659,066,212,547,088,367,503,739,142,175,937,268,467,451,957,491,573,
860,954,441,489,014,404,506,535,199,812,901,977,837,135,739,209,716,649,713,
859,809,327,208,018,559,378,697,395,400,389,855,019,941,911,747,349,866,599,
128,003,921,492,195,874,892,074,556,399,885,920,307,478,256,720,344,674,175,
535,684,357,025,794,314,580,374,986,082,231,363,991,484,111,812,855,910,359,
011,202,871,536,646,223,715,536,873,564,793,386,997,979,349,603,672,636,558,
063,935,544,372,755,768,144,121,108,130,601,378,548,686,034,533,771,666,119,
149,747,049,807,776,676,484,932,483,892,558,113,922,106,932,865,089,328,557,
936,093,902,135,726,665,206,782,596,287,962,941,345,304,940,987,070,293,202,
371,256,079,571,538,062,845,611,399,470,724,808,345,446,191,424,000,950,657,
260,535,358,700,799,834,978,413,228,566,076,212,030,858,343,691,649,069,693,
856,329,852,250,010,464,100,288,763,134,976,538,417,685,779,701,827,712,369,
164,118,033,174,615,689,176,539,762,205,238,420,850,347,903,403,578,175,210,
257,122,760,793,315,667,047,048,183,712,446,700,406,923,453,456,979,080,244,
096,327,317,019,896,385,380,858,490,453,875,218,110,713,948,537,266,453,166,
636,896,511,297,313,817,986,255,268,870,815,059,535,043,449,437,756,899,925,
760,831,446,068,670,987,113,296,021,126,155,116,080,592,793,738,411,166,989,
465,491,688,870,520,889,702,849,660,297,923,235,840,137,584,767,630,798,078,
001,657,638,995,128,447,430,167,084,735,840,622,157,485,102,089,129,446,067,
535,035,073,315,526,680,453,270,208,004,100,831,718,503,580,175,725,312,221,
510,374,174,614,283,648,504,492,192,810,580,747,589,112,912,325,465,545,433,
395,679,458,505,662,178,343,568,224,231,176,528,666,776,807,553,615,859,234,
543,738,640,743,744,604,460,381,893,448,906,356,075,358,978,412,925,421,668,
578,450,560,963,496,236,726,564,228,286,458,444,561,823,600,398,190,640,243,
394,490,865,294,173,423,235,691,852,619,044,620,375,441,970,591,672,330,421,
122,941,159,553,668,128,351,798,687,167,352,520,686,744,457,785,383,824,642,
717,194,269,325,800,517,456,569,124,666,473,361,454,055,334,542,968,445,883,
592,399,025,396,103,225,848,329,653,447,162,143,630,970,228,283,529,975,533,
948,297,210,094,978,358,965,516,538,523,891,855,466,588,588,278,138,995,307,
487,468,175,185,120,384,959,867,281,885,772,338,360,181,596,923,429,147,650,
772,968,180,748,236,769,073,777,625,901,818,943,579,715,045,115,974,990,112,
929,336,900,012,946,243,097,320,230,532,519,222,620,943,049,002,311,474,338,
655,197,308,577,060,934,702,177,983,525,446,348,890,419,400,156,541,388,164,
644,208,757,526,462,576,645,236,511,531,398,369,476,621,760,603,980,932,625,
457,824,709,858,982,215,856,411,239,412,223,234,669,914,889,676,234,220,805,
454,701,924,434,712,450,527,988,823,151,149,016,169,572,356,429,736,312,119,
799,499,605,282,753,646,897,932,839,458,949,653,799,024,243,633,543,532,275,
075,213,034,600,374,907,617,931,823,145,995,984,284,638,204,066,446,798,972,
659,781,344,407,849,679,068,499,684,184,082,372,840,044,864,338,443,911,495,
082,003,282,850,421,579,764,419,322,373,965,179,479,422,012,025,940,883,524,
186,927,527,525,882,264,365,474,486,626,195,373,175,588,245,774,916,475,288,
202,221,798,295,325,968,375,854,219,561,348,956,751,332,551,580,361,469,354,
343,002,030,047,567,770,821,223,657,873,854,463,923,298,568,003,155,468,972,
673,871,796,341,910,115,973,552,289,952,936,714,199,343,218,124,789,437,274,
842,556,473,767,324,381,294,341,722,573,993,494,316,193,877,930,050,883,488,
579,966,941,553,550,341,062,241,103,881,934,968,801,209,490,641,896,695,557,
381,670,978,496,977,048,117,632,853,476,724,561,641,341,399,427,088,162,632,
616,968,287,732,320,090,059,526,786,207,224,548,692,860,249,854,823,468,099,
673,379,835,515,422,465,824,746,418,721,136,214,647,950,502,050,275,436,609,
276,985,150,899,884,572,268,930,741,577,484,114,560,968,088,973,157,118,487,
820,858,068,800,740,528,452,003,380,075,346,342,786,125,052,399,816,026,140,
289,236,036,317,015,883,075,275,773,446,004,036,833,740,372,422,906,564,073,
819,554,034,756,202,016,008,304,481,573,158,737,894,216,899,871,494,464,012,
613,500,422,153,961,254,073,580,365,819,601,012,659,289,121,444,515,270,845,
548,933,442,972,793,959,847,647,784,959,230,624,054,573,720,446,922,797,516,
963,405,385,511,447,103,442,751,797,585,442,103,845,024,190,740,201,795,487,
353,224,391,162,179,680,188,656,046,312,670,375,449,603,106,023,071,778,401,
609,019,816,597,511,972,421,297,790,238,504,656,355,807,443,379,000,519,903,
173,440,852,227,010,992,517,318,954,013,374,448,260,117,750,026,761,675,764,
204,061,070,677,115,354,084,879,616,789,060,053,271,917,192,615,705,302,749,
587,362,182,811,232,940,031,849,165,788,304,512,715,826,157,428,325,718,326,
992,286,409,153,703,202,354,648,990,937,110,334,949,754,936,207,274,654,916,
545,028,755,102,049,936,825,873,864,785,202,945,996,918,731,886,285,973,655,
349,062,363,771,670,563,050,395,269,088,306,860,186,270,645,379,997,032,298,
957,225,164,530,006,909,145,767,403,237,189,027,091,091,201,541,312,229,998,
551,830,481,478,364,220,532,310,856,188,390,689,523,921,967,609,925,635,058,
601,581,317,457,463,289,699,619,050,981,878,447,206,329,416,253,159,465,893,
559,547,920,311,089,413,004,582,984,384,113,887,094,708,381,021,742,750,936,
850,222,938,973,009,363,322,030,499,379,798,138,077,508,131,898,116,102,791,
118,266,563,493,357,453,769,829,994,341,140,655,029,001,799,938,331,584,909,
811,449,410,028,227,905,070,184,524,514,051,976,210,144,579,958,911,572,568,
215,405,912,710,420,560,751,362,872,527,977,147,873,115,360,700,812,669,209,
249,051,032,290,758,621,164,662,520,213,852,533,692,152,924,912,984,182,137,
343,267,843,990,730,540,332,975,825,940,478,959,223,500,433,698,931,568,737,
856,003,906,712,357,066,383,796,492,637,204,402,256,994,611,602,597,225,876,
274,147,688,520,390,502,982,397,323,551,053,280,754,485,878,787,635,888,432,
054,733,600,449,396,101,282,695,646,244,050,285,020,019,453,587,954,767,491,
916,477,062,626,702,669,027,304,901,120,633,137,838,262,695,281,671,725,628,
580,175,436,541,319,350,213,813,767,945,232,137,782,020,208,468,372,554,176,
705,679,734,499,651,072,876,359,490,271,400,547,110,744,924,380,938,066,706,
158,945,080,459,856,455,827,103,895,438,243,544,772,534,903,235,215,978,687,
940,317,051,814,457,073,091,301,203,689,592,033,057,405,588,201,815,611,064,
442,482,597,605,115,076,265,726,487,441,966,063,899,260,392,782,155,997,477,
367,610,886,626,421,068,102,096,125,279,783,608,662,297,199,617,478,324,249,
511,054,005,339,871,912,178,192,361,553,008,437,299,693,322,173,122,986,730,
844,653,188,205,498,959,774,562,938,172,207,954,834,953,741,728,109,796,252,
237,454,880,824,547,380,014,359,985,351,903,648,346,786,638,217,725,553,390,
063,283,305,589,018,938,728,613,257,527,256,411,234,272,830,277,624,751,320,
400,186,858,013,093,419,561,925,380,063,626,142,009,068,421,532,976,462,905,
419,032,675,580,273,772,872,401,695,669,569,556,884,297,126,342,057,994,687,
776,303,645,446,271,526,233,544,186,249,717,724,590,545,879,463,066,974,337,
587,137,950,563,035,641,093,575,469,687,722,861,959,258,219,876,077,907,715,
798,659,014,030,127,765,952,500,425,791,432,820,592,469,326,873,129,090,212,
578,410,077,532,187,416,768,143,338,968,264,254,878,843,117,750,727,331,790,
481,927,615,570,970,981,369,575,093,798,481,950,798,973,517,951,078,367,078,
616,779,093,468,560,591,043,044,862,538,636,166,367,479,172,510,332,580,031,
122,031,682,860,735,079,329,509,680,120,359,504,848,155,993,802,510,389,594,
734,125,597,020,213,855,723,670,751,236,771,202,275,272,074,032,710,708,963,
097,312,331,190,561,185,318,160,885,390,250,387,560,911,411,772,246,755,263,
603,886,190,056,999,427,538,077,804,570,950,819,378,181,950,785,619,001,906,
339,161,815,474,681,142,864,624,784,268,725,387,601,214,944,746,644,101,061,
580,908,125,828,295,129,253,692,628,346,559,641,433,104,621,167,328,744,287,
119,199,135,262,804,804,132,273,395,686,527,714,376,459,620,839,260,295,341,
455,821,136,724,066,155,562,988,008,204,723,258,823,216,510,426,445,958,321,
718,629,784,821,156,927,645,456,326,454,636,892,973,929,369,507,668,476,700,
141,416,493,761,004,867,645,143,243,365,381,063,731,777,733,519,771,354,923,
354,155,342,671,372,078,785,077,635,532,720,882,610,723,872,423,735,583,606,
396,110,269,863,540,407,101,139,778,797,435,711,682,270,184,340,739,749,655,
253,242,373,544,570,174,016,028,459,219,415,445,597,742,608,079,950,289,277,
549,933,647,866,406,406,728,001,968,651,487,215,853,757,821,697,746,809,749,
659,877,833,647,328,650,483,009,744,862,133,224,688,682,513,161,754,629,491,
035,656,019,428,233,188,954,188,348,697,656,425,288,256,079,396,036,125,751,
989,449,786,811,247,295,305,537,732,738,078,545,434,369,213,446,990,061,681,
726,721,075,679,895,830,205,901,477,779,685,842,641,789,784,787,010,605,994,
519,123,269,634,728,991,999,424,522,339,413,780,354,695,114,169,074,831,412,
585,786,878,233,935,500,763,627,264,532,876,360,608,636,731,057,137,028,301,
689,184,876,418,224,395,932,950,745,515,236,208,001,029,940,278,819,080,026,
332,573,300,791,407,294,256,575,645,308,600,973,091,899,787,166,189,913,652,
571,424,865,147,339,929,996,201,037,989,443,756,652,249,693,261,490,173,895,
548,886,827,623,940,081,581,639,645,844,598,593,945,988,094,264,914,469,429,
098,406,416,894,219,266,527,696,617,646,140,289,232,067,117,343,429,042,210,
638,455,512,291,943,170,526,772,729,783,194,613,421,282,638,417,572,147,889,
581,351,871,092,211,503,356,532,342,278,522,307,372,464,650,261,695,983,165,
131,245,589,593,234,647,058,381,521,103,643,734,031,874,537,884,253,576,815,
024,931,348,007,738,181,822,830,548,596,063,271,777,366,707,928,076,734,757,
417,244,317,535,913,469,274,870,169,059,455,832,142,168,256,255,908,826,361,
242,448,020,344,488,623,964,633,714,195,477,321,409,290,740,010,570,451,088,
976,646,687,817,781,083,999,408,782,818,773,341,124,455,239,448,886,726,403,
336,820,687,731,660,050,543,866,832,934,895,940,687,139,558,661,592,170,728,
567,225,690,363,282,884,414,073,837,921,258,750,621,918,046,820,948,701,165,
377,262,472,130,618,101,889,659,109,897,595,775,834,706,892,196,478,268,389,
824,082,678,498,133,079,142,638,678,353,011,039,674,330,149,740,796,983,156,
630,754,011,184,440,172,239,559,815,658,416,615,255,032,103,684,717,037,449,
786,886,250,416,810,695,768,098,292,726,638,425,048,649,449,898,029,788,583,
759,995,428,469,285,695,280,331,174,942,696,752,657,771,701,678,862,057,735,
391,846,005,303,580,459,931,677,281,098,350,854,003,797,877,633,578,045,147,
046,902,731,908,529,633,979,657,760,909,976,282,546,981,422,355,826,910,423,
685,710,380,348,705,032,742,398,618,331,970,769,405,453,730,767,050,890,573,
072,568,544,145,810,588,451,270,041,115,672,026,853,217,565,486,282,758,555,
135,775,165,145,543,966,331,296,130,784,786,097,572,978,485,250,629,285,021,
471,065,757,530,378,383,583,266,125,548,761,523,327,411,367,261,999,595,093,
764,858,008,437,763,082,151,173,333,008,600,246,274,515,939,878,159,429,750,
422,240,613,549,127,532,063,015,984,990,870,452,726,149,189,128,593,702,170,
958,792,062,323,657,006,811,069,503,225,894,313,681,053,738,483,285,644,793,
098,207,026,786,260,834,498,183,560,285,605,506,119,919,174,734,471,180,978,
364,215,239,406,287,410,918,751,370,341,687,690,736,840,656,771,100,064,570,
791,603,321,838,721,121,400,002,599,112,729,107,035,700,452,913,547,690,480,
454,690,432,595,807,223,339,473,100,031,567,500,619,608,254,315,220,574,429,
953,414,664,009,139,522,908,302,822,871,844,726,442,670,512,427,098,460,969,
264,194,542,772,842,616,974,888,517,292,898,393,853,307,414,781,603,626,523,
172,895,980,002,180,650,242,185,480,370,621,805,184,913,139,330,654,389,596,
547,011,121,291,936,624,585,280,840,950,344,846,559,939,349,602,363,088,148,
391,776,825,526,837,722,131,080,264,463,321,114,108,944,382,639,394,806,971,
403,869,691,141,231,229,471,929,397,802,840,118,094,135,288,640,286,041,696,
878,380,435,490,259,741,469,380,978,186,045,726,337,922,782,933,459,182,871,
894,682,200,851,158,846,853,269,162,760,214,772,687,104,154,263,799,712,352,
964,313,117,456,654,309,956,530,781,861,625,612,801,387,024,382,724,525,199,
793,222,934,881,966,472,133,113,385,259,494,059,162,984,649,037,394,073,891,
421,821,260,951,705,964,083,529,395,632,053,561,660,534,675,263,683,507,320,
758,029,005,691,564,295,233,615,079,607,304,329,956,677,204,910,799,571,231,
210,970,796,091,905,560,197,507,768,996,457,799,594,756,633,218,823,035,609,
100,955,058,756,001,888,824,929,496,619,202,664,026,365,088,730,883,023,810,
449,860,693,897,883,785,313,502,753,331,584,212,939,417,059,874,269,650,474,
052,524,187,664,165,681,011,585,762,848,395,427,693,659,288,091,948,327,159,
547,969,864,675,567,694,204,745,746,894,869,787,698,331,144,446,642,625,464,
901,254,057,387,021,134,328,957,428,493,591,879,008,558,733,618,495,008,022,
051,963,412,702,767,892,485,409,325,130,714,217,486,772,527,734,535,341,054,
909,124,857,732,292,173,069,075,251,171,841,025,690,283,125,307,165,714,934,
344,241,807,623,393,767,167,073,993,205,132,441,092,458,986,683,513,062,054,
996,339,613,663,168,331,819,790,500,250,536,203,124,943,788,019,729,351,689,
390,278,812,869,215,056,067,008,483,230,669,051,700,729,930,928,288,986,110,
047,047,023,320,116,261,411,727,574,558,784,066,572,000,117,331,303,806,054,
771,369,337,430,932,162,042,082,807,144,682,153,914,082,787,190,333,608,351,
888,762,486,062,854,044,944,348,031,241,595,538,797,487,413,302,187,869,154,
078,416,819,779,885,167,382,958,245,008,703,692,820,158,760,985,260,193,926,
095,983,709,410,354,483,342,987,074,361,632,974,688,964,319,402,166,980,027,
214,606,787,130,295,822,642,962,434,375,371,560,783,227,600,520,970,242,298,
492,370,188,034,590,460,297,300,224,895,263,966,126,144,735,332,775,265,928,
818,967,113,343,101,336,765,610,043,600,639,841,245,355,523,674,679,041,205,
046,161,967,309,194,699,061,690,035,561,018,037,481,636,686,929,405,024,768,
361,340,456,121,103,811,056,861,762,982,742,250,569,243,416,046,637,719,049,
889,821,085,514,860,753,133,656,865,914,848,608,074,409,882,575,692,466,231,
697,256,408,002,862,730,687,580,835,470,036,880,091,783,371,449,539,028,985,
701,171,797,674,662,953,672,777,658,189,680,585,999,636,973,064,764,124,576,
066,534,754,333,374,415,066,841,657,058,389,254,131,524,654,086,725,390,281,
103,150,223,149,659,560,375,104,736,130,413,550,550,066,291,270,450,594,030,
406,542,518,965,028,634,118,285,348,712,815,448,318,363,498,291,285,701,961,
761,746,299,690,376,466,313,205,095,046,872,088,254,394,618,642,152,934,139,
820,725,843,610,225,474,863,091,970,594,011,696,763,641,316,156,338,737,452,
310,741,337,166,147,379,097,465,136,886,751,547,378,551,566,817,782,386,597,
530,310,626,620,295,019,083,030,642,860,345,375,575,191,037,108,362,296,762,
595,410,236,784,158,576,098,674,096,731,981,818,427,702,194,985,445,485,935,
976,668,162,677,673,365,640,841,857,514,498,412,717,711,944,632,738,751,676,
426,777,222,094,335,104,023,330,927,730,860,420,105,722,266,447,127,367,479,
599,037,466,439,323,488,251,619,846,145,067,388,174,641,182,411,355,265,700,
014,471,954,089,449,291,497,972,087,528,928,893,876,242,700,746,555,670,266,
191,060,374,583,105,290,754,562,661,322,240,075,177,931,502,461,205,939,305,
754,412,132,539,962,067,796,745,948,999,777,325,070,862,181,519,570,059,232,
971,533,894,756,247,433,657,067,406,924,114,621,867,089,527,794,752,074,263,
416,854,582,779,612,387,544,488,803,300,501,013,663,522,818,575,466,876,656,
966,856,512,741,641,906,667,951,310,445,462,894,098,375,348,103,252,351,672,
937,153,496,794,696,692,131,086,381,573,090,044,586,216,098,836,642,592,776,
954,739,622,455,533,319,396,551,120,004,292,313,324,393,354,725,598,255,306,
608,606,502,372,965,937,921,129,986,575,598,851,760,773,926,049,506,113,303,
030,835,905,435,099,342,086,767,882,747,130,835,322,548,096,016,758,297,352,
543,050,097,135,708,496,919,313,088,035,820,792,528,283,581,918,187,510,728,
798,721,407,939,421,673,456,840,840,475,738,888,896,216,537,063,835,719,379,
537,137,787,445,799,205,195,724,868,115,413,107,528,275,162,404,979,558,282,
878,038,805,033,930,361,954,090,779,569,362,676,734,227,587,379,069,653,670,
619,341,475,137,576,181,927,954,636,805,669,792,859,048,220,250,002,503,150,
328,291,087,367,497,797,354,706,599,292,176,637,535,027,001,349,977,539,502,
665,057,585,855,206,135,674,537,904,038,390,745,309,171,343,109,880,343,449,
211,797,052,941,253,480,272,638,276,190,347,953,895,339,573,824,707,380,142,
795,888,973,188,631,332,962,551,289,469,232,085,791,627,821,934,904,797,103,
783,951,073,044,571,036,152,090,236,810,237,910,287,109,841,247,696,008,649,
379,971,071,505,919,841,790,797,663,344,134,159,644,426,211,961,872,449,065,
437,898,046,904,925,742,200,094,062,974,192,504,343,513,301,104,388,359,184,
508,872,617,599,833,122,815,275,986,288,288,375,219,305,526,294,465,977,700,
969,774,165,890,858,728,713,932,747,580,059,214,809,175,690,330,646,968,899,
919,053,225,335,781,562,147,235,794,126,204,007,269,638,742,059,234,004,594,
262,703,644,527,554,682,080,961,284,282,093,905,292,526,520,321,665,279,689,
940,051,776,832,164,861,171,879,897,541,401,189,724,885,408,074,154,424,352,
421,663,863,768,272,479,899,271,856,645,363,026,001,561,168,950,199,333,344,
565,537,836,973,257,590,209,184,286,623,435,581,679,526,808,564,436,485,098,
023,636,393,168,452,074,405,711,185,167,864,526,800,499,898,508,879,368,267,
810,725,912,358,280,698,244,872,130,533,049,000,201,262,065,148,697,318,611,
177,171,287,997,914,989,481,554,192,454,727,582,326,972,393,900,715,963,871,
023,391,794,599,149,583,948,548,403,439,325,890,330,478,637,621,386,166,410,
477,755,669,119,000,741,824,038,846,216,301,081,268,883,000,254,006,762,691,
712,783,331,147,471,282,924,439,417,609,003,501,765,628,770,408,735,367,719,
915,269,282,044,475,170,937,865,992,218,048,661,442,938,923,657,393,138,717,
318,361,838,217,049,264,978,219,082,587,492,478,945,370,199,772,368,516,229,
011,919,721,260,261,120,535,495,684,461,100,070,194,111,345,428,412,468,271,
895,888,386,093,997,361,130,661,230,635,310,088,939,613,339,751,248,267,975,
670,078,702,255,916,678,496,254,837,021,079,435,396,237,921,415,555,695,650,
597,248,318,865,863,456,119,319,480,456,755,687,469,505,368,831,677,662,650,
808,236,950,274,575,189,426,491,967,890,941,487,487,208,123,650,843,159,431,
795,733,111,167,006,238,084,142,074,838,506,004,047,943,268,894,068,321,818,
402,966,442,070,154,325,398,772,016,003,947,689,344,388,448,211,958,054,892,
295,984,074,159,881,489,070,046,946,857,520,642,115,757,961,593,845,254,900,
664,742,450,247,918,152,168,460,598,730,791,125,726,542,971,801,955,563,120,
488,135,946,364,919,848,824,603,356,023,561,420,500,311,658,303,510,059,037,
820,886,389,382,734,518,224,193,152,044,978,205,343,529,182,437,794,325,733,
176,007,714,810,711,471,310,884,402,866,417,736,624,873,267,053,924,581,411,
022,858,619,186,473,667,169,457,262,250,357,749,877,919,364,326,449,722,175,
183,728,920,115,401,983,025,024,418,294,036,495,514,010,866,506,208,286,697,
409,613,864,734,005,665,608,058,416,376,883,326,162,015,898,573,028,967,416,
810,300,827,103,706,340,231,111,878,577,773,849,841,993,554,933,944,201,344,
073,142,121,590,579,367,783,899,833,501,714,145,155,754,448,620,529,805,312,
304,985,909,788,789,597,347,536,658,253,811,862,920,710,190,811,745,591,449,
797,684,894,570,895,099,117,149,277,697,109,344,134,207,411,492,040,605,477,
752,096,139,510,790,174,956,252,069,692,667,800,157,387,922,427,436,686,730,
974,045,772,180,390,132,901,069,331,296,972,334,151,980,193,877,857,174,072,
185,066,536,149,050,917,042,631,870,096,670,756,203,071,144,286,087,347,379,
183,430,797,712,735,406,410,397,112,727,370,200,563,113,553,060,899,542,722,
718,087,173,055,671,213,824,573,686,038,510,987,147,879,133,015,661,472,331,
655,877,803,821,073,482,681,009,884,743,971,911,874,928,031,291,711,216,289,
436,506,761,618,236,423,803,016,658,902,205,688,899,486,798,144,328,902,851,
787,831,091,903,955,470,107,102,679,274,148,386,121,605,041,887,165,656,619,
114,622,312,131,850,827,956,777,362,954,573,859,964,736,499,117,847,944,883,
614,302,825,492,482,024,718,051,970,731,180,256,299,017,146,436,180,574,912,
203,888,147,223,480,368,262,484,732,014,173,773,685,062,240,845,229,512,669,
178,214,566,461,461,835,083,787,815,017,218,658,964,638,031,821,388,672,429,
293,006,261,271,102,002,804,356,463,266,622,152,705,341,114,108,774,459,212,
628,614,993,672,651,928,996,615,930,101,852,777,781,283,262,937,420,190,419,
422,597,934,897,769,907,799,859,053,381,647,889,729,350,856,852,235,708,408,
815,665,923,481,764,888,770,936,967,369,752,895,188,466,893,458,000,429,261,
474,517,156,196,254,464,142,036,005,206,097,090,880,856,519,437,393,921,217,
640,635,897,723,408,004,498,092,853,671,745,554,719,792,336,351,429,895,293,
484,795,994,081,423,939,579,208,356,500,310,350,226,297,584,249,949,807,753,
530,551,861,737,738,790,269,038,144,648,863,475,663,505,661,311,848,622,395,
181,651,465,928,639,109,949,996,064,681,605,890,136,898,715,515,239,614,874,
148,505,630,736,727,603,330,491,358,407,385,786,555,272,354,467,844,192,968,
838,600,602,801,114,785,285,661,221,793,495,880,081,273,428,195,722,240,846,
408,117,214,564,011,129,092,799,578,240,216,637,244,588,369,481,164,776,894,
528,721,179,915,654,512,805,677,844,197,281,731,375,276,356,924,125,510,440,
889,088,530,868,856,900,062,849,544,910,878,357,745,890,052,837,625,814,508,
301,589,171,432,413,015,806,096,131,050,397,831,556,919,821,698,569,117,446,
308,259,134,143,974,563,409,969,618,367,242,360,452,215,688,544,699,979,603,
609,420,855,299,964,463,062,360,499,310,279,773,545,333,237,799,303,043,893,
917,662,740,133,751,014,019,578,811,589,277,280,652,341,643,534,970,571,991,
659,698,932,066,993,145,840,224,367,706,401,047,858,457,195,462,101,539,367,
583,501,067,491,677,652,324,689,056,622,124,645,960,799,276,741,816,971,290,
470,061,215,518,574,440,204,483,598,817,752,009,113,665,164,273,347,478,295,
276,121,240,757,834,632,402,534,295,241,901,262,066,275,294,876,782,296,044,
330,442,253,637,772,215,825,261,197,111,005,903,967,923,440,228,866,329,539,
150,253,520,901,808,156,091,323,172,713,921,775,943,112,883,809,369,040,791,
303,355,177,790,391,138,916,969,384,690,658,628,361,795,860,748,024,235,565,
373,983,458,043,900,194,360,772,728,025,734,946,150,258,237,282,484,645,681,
728,831,113,116,440,974,676,998,722,540,570,119,687,355,627,471,365,627,678,
341,601,786,927,413,282,102,348,505,573,080,116,324,645,316,301,041,176,279,
182,031,492,889,581,918,155,762,715,960,408,711,201,620,936,641,453,223,727,
156,284,213,164,938,801,005,507,328,546,381,278,201,120,673,063,649,603,959,
638,481,837,102,365,203,268,057,698,355,392,602,671,956,594,651,112,694,746,
620,800,765,899,034,198,850,546,657,479,298,693,961,726,835,278,715,144,401,
599,856,666,715,810,319,346,678,959,448,444,585,617,208,282,423,893,828,720,
189,912,576,309,477,770,736,918,090,816,349,778,063,045,771,790,373,227,355,
281,747,630,900,908,037,412,511,243,234,563,378,484,662,612,068,653,636,186,
307,759,988,544,243,250,312,754,384,089,356,273,402,302,171,561,876,275,427,
292,301,030,037,046,388,963,499,646,062,872,607,464,501,162,068,184,017,001,
956,901,415,820,323,722,304,237,639,701,638,795,933,714,759,733,711,549,087,
639,371,740,847,186,870,891,187,574,684,847,495,927,429,011,252,482,150,025,
730,211,298,919,922,974,282,439,508,025,071,554,605,664,776,277,808,821,866,
508,805,373,180,474,507,707,657,579,004,415,919,584,721,858,212,929,332,760,
276,334,047,928,594,346,150,537,167,602,919,157,354,359,614,524,956,161,852,
427,439,988,639,894,701,950,966,491,212,377,501,726,563,332,519,285,146,161,
653,860,072,749,175,954,759,553,777,639,483,504,463,804,821,253,709,280,314,
228,083,872,064,303,168,103,627,867,764,080,667,658,383,497,366,941,737,210,
388,717,694,523,898,208,930,529,115,613,799,687,667,329,841,192,975,979,559,
230,717,964,719,250,353,497,544,885,588,002,734,860,723,106,717,313,468,222,
255,473,317,803,086,551,057,623,670,121,915,892,755,821,409,058,957,368,032,
687,107,849,650,515,967,474,142,021,442,737,611,119,091,096,330,925,861,032,
464,672,608,412,266,938,027,766,639,349,460,268,234,709,067,733,911,444,879,
809,359,938,630,826,899,879,817,361,512,179,421,274,139,412,641,987,031,291,
530,743,280,775,128,509,306,531,722,649,578,639,435,979,656,388,560,351,565,
977,224,291,721,201,593,071,913,514,624,651,935,692,388,135,473,917,587,258,
084,982,713,289,178,895,024,901,098,347,199,473,172,259,704,750,097,710,126,
969,167,154,310,037,430,200,593,432,265,088,877,357,848,756,449,797,257,369,
350,158,110,831,928,791,832,571,550,742,661,635,654,564,830,133,339,566,933,
889,269,635,951,932,294,982,370,473,704,171,007,380,448,178,187,648,025,043,
204,441,609,232,265,755,295,294,750,268,649,131,580,677,181,679,887,854,333,
106,756,908,763,086,928,283,798,703,139,560,395,147,400,704,425,869,794,427,
210,124,251,975,421,602,683,358,459,079,117,722,025,269,576,253,744,705,290,
548,232,451,518,983,117,360,351,933,581,681,313,830,118,884,295,109,018,365,
601,082,694,926,330,833,342,580,192,335,906,094,758,655,723,204,532,606,658,
025,603,666,202,818,750,767,463,825,840,382,871,899,216,728,487,959,998,915,
117,696,803,414,208,709,262,066,307,963,821,716,959,209,085,681,245,478,382,
835,974,473,182,697,998,052,884,530,716,124,838,064,705,509,904,488,930,542,
397,213,153,125,793,235,554,637,130,313,062,839,497,797,352,453,002,404,982,
932,199,062,709,436,148,108,723,921,517,489,881,951,069,302,077,456,920,298,
441,951,631,828,562,741,770,486,784,776,798,726,427,278,718,277,654,105,169,
283,779,916,904,243,660,619,057,446,715,990,078,023,089,057,349,063,957,392,
612,351,506,063,230,636,749,482,935,727,457,007,517,498,299,653,314,389,724,
440,711,680,822,025,028,622,003,458,015,920,221,593,524,938,709,515,176,398,
484,877,229,961,217,419,061,801,687,969,022,446,041,194,820,011,923,269,543,
286,349,305,062,582,607,108,458,609,710,940,096,867,292,261,501,545,710,945,
490,317,554,627,728,179,244,096,889,969,524,961,434,340,707,652,694,801,643,
806,424,630,910,114,699,748,302,903,591,484,824,840,879,651,410,254,790,107,
849,657,681,657,958,944,251,515,347,664,689,748,482,935,868,140,622,065,868,
453,319,051,020,472,973,372,211,195,624,055,388,468,068,879,630,342,235,602,
042,692,023,829,933,634,750,526,703,388,372,100,047,358,435,814,328,987,622,
338,152,932,318,720,283,837,037,592,420,600,552,326,654,983,840,479,038,784,
444,116,524,403,915,197,570,729,873,193,737,751,721,547,248,791,554,506,751,
966,758,539,608,322,485,159,468,155,908,337,811,781,316,045,978,907,877,642,
287,808,062,515,254,921,377,580,134,677,575,439,958,926,189,801,498,118,060,
657,797,744,202,614,893,870,905,754,030,909,185,101,567,593,769,325,004,860,
968,244,298,589,453,606,474,410,264,548,087,220,265,480,270,863,920,823,855,
295,118,933,049,206,298,496,362,547,056,133,392,842,569,624,426,142,518,523,
716,709,528,820,271,038,438,469,707,087,757,148,456,102,827,417,206,881,995,
160,643,343,765,130,703,851,898,494,867,507,785,613,230,391,788,416,261,279,
956,206,019,943,152,562,691,754,318,629,103,753,249,988,928,305,047,139,384,
069,995,175,780,517,904,031,626,223,539,816,568,163,389,310,120,576,522,156,
168,540,451,181,666,388,800,100,191,574,932,621,386,631,721,398,788,950,441,
587,095,224,786,727,670,055,644,703,559,604,030,374,317,657,315,802,511,922,
287,375,686,984,254,614,601,650,059,180,362,066,649,727,045,109,930,275,806,
146,990,831,802,291,365,234,934,192,746,889,387,715,987,044,069,737,346,229,
582,919,766,285,370,155,739,940,057,018,297,943,599,295,120,382,234,056,245,
049,957,173,435,360,590,270,452,557,319,957,734,293,893,386,372,765,319,386,
639,326,872,779,653,531,160,911,125,297,168,158,230,806,625,562,896,981,874,
427,523,212,049,056,173,812,649,376,840,521,549,882,313,044,349,694,810,084,
574,757,557,948,514,944,643,065,975,682,670,881,088,177,148,863,501,415,282,
031,847,257,940,627,919,751,157,139,253,921,214,214,632,609,996,846,175,695,
916,270,102,742,280,716,534,717,245,346,884,703,480,447,762,251,996,593,690,
999,577,652,133,329,910,205,075,913,828,559,965,208,988,228,546,189,185,990,
671,433,787,086,287,828,421,930,992,062,856,446,183,694,391,444,296,197,010,
691,428,112,073,026,779,086,763,575,284,888,051,226,333,365,843,134,798,339,
442,130,935,796,919,274,019,535,483,046,284,662,674,737,452,702,101,439,730,
414,037,096,159,587,693,756,649,772,816,156,687,799,921,362,676,549,100,224,
351,127,329,714,580,319,856,400,127,272,006,742,575,044,253,980,527,429,919,
080,138,565,967,474,171,929,593,773,234,998,807,738,137,562,620,570,691,703,
872,545,040,898,847,403,196,656,807,093,569,198,811,181,661,456,200,791,822,
662,973,669,667,922,886,813,536,920,581,685,911,200,082,721,622,248,553,534,
587,438,649,628,320,072,194,033,369,175,524,607,375,606,544,033,430,884,233,
622,000,015,045,714,965,148,082,361,040,827,739,666,327,103,841,061,185,119,
423,253,643,665,788,018,530,358,269,315,807,441,974,457,614,556,131,997,879,
455,628,183,528,880,748,787,082,538,458,952,892,062,529,594,769,048,171,540,
305,064,570,730,974,323,803,003,925,155,207,542,805,632,438,161,357,426,852,
997,171,227,929,944,188,731,918,385,555,688,745,717,514,306,539,166,638,598,
280,809,081,498,809,159,578,594,616,367,613,943,438,576,639,807,760,153,959,
094,997,666,810,127,823,854,078,928,954,479,515,631,457,336,280,220,560,481,
347,224,787,800,691,111,333,115,824,219,455,461,960,215,643,369,866,800,351,
603,982,783,009,487,889,802,390,887,231,216,785,083,315,455,283,044,032,455,
925,082,062,331,395,256,860,324,253,197,155,339,044,808,836,711,010,007,102,
203,911,607,817,180,817,399,433,760,263,654,081,486,214,803,350,899,889,002,
201,804,568,183,682,127,146,854,366,779,509,662,476,480,905,466,644,637,656,
450,295,328,604,167,781,458,800,856,190,789,588,210,218,719,018,924,533,502,
090,768,680,935,753,161,882,293,630,857,049,217,547,207,179,011,426,452,492,
311,415,819,009,938,487,515,669,387,390,990,972,885,130,271,076,777,989,103,
097,697,035,434,768,416,956,179,076,938,057,893,736,537,457,335,182,238,699,
951,307,921,266,261,243,826,533,870,754,853,183,931,669,858,838,770,667,433,
021,922,422,043,966,099,173,395,800,467,193,077,369,695,364,030,263,483,113,
135,618,572,743,497,074,250,733,255,630,010,805,960,806,114,690,976,443,411,
270,450,603,743,217,627,818,635,855,388,135,441,351,552,492,099,693,612,513,
216,066,683,216,132,922,070,985,104,585,475,726,622,586,700,380,324,199,038,
875,470,445,321,691,814,817,919,829,864,625,657,805,026,566,514,692,799,092,
789,501,892,076,341,893,213,833,797,006,836,963,121,380,852,455,063,352,622,
853,358,420,705,181,288,126,333,854,565,053,414,979,468,396,195,286,226,262,
062,545,827,646,930,808,244,466,609,005,762,728,565,830,744,791,400,617,423,
142,111,019,072,736,611,090,054,140,329,529,967,476,327,518,705,604,363,059,
199,907,647,492,801,106,887,260,202,381,774,562,242,837,275,368,941,383,052,
686,807,422,272,600,610,633,217,476,131,481,151,793,821,594,035,339,615,405,
786,818,438,647,972,716,081,276,758,887,244,076,523,433,698,918,477,596,528,
540,198,005,542,460,872,662,645,734,398,726,556,854,449,256,703,959,791,170,
310,414,285,783,561,537,068,146,939,847,103,171,387,215,277,539,923,351,371,
268,416,748,059,348,037,843,208,516,370,892,719,994,419,884,065,736,437,915,
102,180,248,792,544,059,313,234,593,353,229,943,853,855,408,758,795,512,206,
129,952,698,284,287,690,468,463,514,813,795,892,433,537,784,505,958,025,968,
803,355,438,881,627,361,731,429,883,204,177,096,131,250,988,425,150,945,669,
365,893,992,081,491,213,546,419,869,220,914,957,459,809,519,190,336,895,422,
296,294,579,962,827,984,574,383,735,054,689,628,938,051,099,741,032,493,290,
371,079,419,390,469,082,953,948,696,012,110,603,274,133,965,773,625,873,022,
403,333,880,147,366,789,654,111,580,928,831,627,248,362,123,650,196,753,172,
811,645,389,131,558,488,740,585,817,374,923,112,705,521,143,744,338,986,913,
279,268,724,933,653,594,970,439,587,985,506,415,458,610,116,718,852,980,655,
019,113,675,372,239,425,287,801,030,036,352,625,411,262,255,270,282,787,500,
839,729,823,909,074,980,593,347,702,829,096,391,511,782,744,695,242,554,232,
550,368,776,094,334,824,331,209,666,753,414,250,212,567,347,616,335,813,368,
293,082,218,323,303,846,584,615,239,496,444,101,865,973,129,867,376,554,577,
390,531,197,296,114,498,539,676,876,060,632,905,818,706,714,926,414,468,901,
279,953,201,678,202,056,812,609,890,352,091,037,710,869,161,423,445,946,231,
099,227,308,701,496,741,047,517,276,362,833,387,246,650,240,061,411,981,788,
584,371,753,973,016,959,352,845,035,489,725,671,342,143,355,806,268,209,889,
894,204,445,311,030,727,445,099,122,148,820,560,949,217,254,971,601,189,484,
537,171,095,726,231,151,927,067,666,481,724,160,254,302,943,279,389,894,067,
540,971,101,192,025,714,969,723,937,115,545,097,574,412,327,198,525,696,540,
769,837,791,529,958,892,639,582,965,068,873,125,813,968,119,629,244,762,612,
192,587,930,137,135,562,567,165,380,086,674,815,541,376,769,923,124,895,465,
394,876,417,993,203,283,866,479,981,732,387,036,766,880,480,879,358,543,890,
987,689,778,016,429,848,910,098,613,872,420,049,325,734,840,471,166,316,368,
614,095,800,075,169,605,816,963,122,727,334,285,501,301,001,594,028,575,858,
980,022,176,166,698,500,141,459,756,435,614,936,925,410,779,108,450,531,215,
914,819,555,818,978,511,393,102,043,689,335,708,659,612,867,295,179,015,096,
994,064,993,178,832,826,349,131,137,884,457,843,444,810,040,744,114,297,683,
229,605,657,060,190,361,971,024,199,578,123,168,845,377,184,384,651,718,953,
973,074,702,339,030,963,371,388,298,457,061,052,000,400,574,878,005,151,049,
325,817,614,236,538,577,480,271,541,807,890,891,498,437,898,554,096,622,429,
926,258,627,467,699,737,383,952,381,507,750,923,736,565,966,811,480,986,087,
883,858,975,164,076,951,487,786,977,696,156,120,148,783,429,864,407,427,053,
829,506,438,853,823,192,544,197,363,439,792,932,763,482,974,828,599,386,332,
023,325,262,432,021,063,214,927,410,702,480,687,609,798,614,821,149,687,087,
748,858,580,646,464,537,132,396,743,534,336,557,397,530,396,691,720,505,098,
350,942,384,987,070,582,882,464,300,999,086,940,085,639,101,053,826,067,121,
243,858,830,183,507,987,684,585,079,686,561,565,139,342,667,958,600,165,380,
488,929,940,820,224,800,861,671,160,350,680,339,157,066,500,194,350,502,348,
415,048,755,311,126,398,495,352,091,305,381,760,798,478,007,782,654,139,575,
610,650,354,079,331,986,979,267,627,268,301,520,586,215,410,051,261,707,577,
396,060,887,256,469,231,203,838,349,537,788,541,435,344,090,186,903,648,584,
557,104,049,893,849,895,840,605,198,614,675,353,913,495,894,107,408,476,352,
319,959,087,749,110,438,882,279,360,315,465,220,500,823,523,409,368,532,763,
913,364,979,151,957,067,291,889,663,124,646,841,074,802,942,434,247,777,154,
985,711,211,416,589,929,242,065,407,413,193,858,352,311,102,224,140,748,695,
574,908,728,797,202,378,961,132,395,389,482,954,247,644,300,436,064,736,634,
548,395,722,494,314,317,036,250,801,244,333,149,416,477,499,518,226,876,465,
898,080,625,893,683,176,705,389,673,348,984,570,701,538,916,380,976,813,261,
943,447,138,973,116,224,670,094,859,038,760,236,053,648,288,825,806,108,225,
399,274,719,433,440,360,751,283,226,161,068,027,240,294,911,583,541,116,184,
499,532,130,415,286,739,966,028,127,678,001,484,813,377,125,937,852,476,999,
488,279,118,972,278,641,166,432,734,340,318,552,329,540,443,324,270,488,194,
545,268,642,310,521,956,289,370,340,975,784,081,769,354,744,149,900,120,027,
489,605,906,679,606,045,970,307,579,027,152,527,952,206,944,195,561,039,309,
238,560,879,022,255,882,223,313,860,588,112,672,072,205,716,068,172,435,121,
934,278,391,707,389,955,460,190,511,913,869,301,295,535,424,260,334,743,696,
671,764,286,323,221,089,377,974,235,669,148,072,818,400,743,721,993,237,983,
790,034,224,912,754,897,844,961,582,022,674,189,302,376,847,785,855,960,602,
116,662,209,157,566,340,956,702,309,148,769,304,966,142,737,461,144,076,847,
396,628,297,223,508,538,423,064,983,544,100,906,614,791,849,658,280,147,924,
724,698,750,058,724,370,988,284,138,909,708,435,184,025,132,556,429,807,256,
059,187,889,474,811,578,052,962,231,046,699,094,389,057,564,974,992,510,966,
155,290,420,541,348,352,085,120,868,455,629,598,892,989,961,011,991,661,689,
019,181,961,059,458,435,911,686,410,364,946,477,184,181,728,079,973,956,589,
183,698,577,161,714,122,276,964,320,251,247,189,061,750,794,004,446,858,631,
670,554,190,619,415,304,757,348,611,256,769,977,173,435,333,512,472,736,364,
775,231,949,710,164,176,373,928,632,260,433,297,865,478,893,372,886,123,208,
832,666,583,315,305,463,728,986,460,461,486,691,201,206,255,894,132,863,439,
801,323,840,092,959,421,321,615,893,701,816,832,926,857,580,578,924,300,178,
735,064,701,450,023,384,154,237,868,328,913,247,424,457,330,284,081,301,951,
977,540,612,571,428,179,665,166,520,200,529,464,549,827,683,536,814,871,071,
231,783,162,372,602,811,615,288,672,580,863,838,688,690,624,616,450,121,818,
285,850,413,121,554,618,725,317,479,744,440,697,049,934,201,546,008,192,897,
525,646,370,382,071,312,529,762,748,227,345,517,241,488,008,706,559,579,831,
248,551,751,202,605,856,793,818,964,730,480,647,656,416,007,583,474,780,951,
688,678,055,142,984,163,737,621,129,217,072,592,497,586,153,677,392,927,118,
684,316,812,243,065,626,888,262,219,571,214,622,542,865,188,777,965,829,471,
163,551,700,371,151,158,726,048,305,268,581,891,747,510,846,445,819,803,042,
600,187,047,475,414,713,997,408,014,478,739,755,806,740,800,176,984,366,706,
202,934,508,517,948,872,776,069,113,967,887,173,664,262,571,293,270,434,178,
279,132,315,025,602,038,460,180,961,319,727,663,924,874,942,445,008,921,027,
906,368,429,332,451,878,837,694,977,296,198,270,437,967,631,235,536,533,033,
730,746,046,987,989,776,767,461,634,375,747,614,431,071,693,421,124,822,658,
603,984,114,020,112,435,126,465,678,180,248,137,019,424,933,600,826,416,472,
500,627,268,816,185,572,211,031,527,322,630,889,925,311,116,376,730,266,520,
643,557,007,344,834,697,403,371,228,357,122,041,067,179,456,448,700,580,657,
586,084,878,860,371,191,222,442,444,197,768,556,091,163,586,554,814,199,244,
891,688,791,735,979,915,253,718,347,815,421,381,251,252,772,888,104,561,710,
311,091,058,501,348,799,383,757,643,482,203,884,622,035,343,565,853,837,539,
607,325,218,561,499,780,939,413,942,969,263,767,861,450,671,464,473,320,656,
745,496,124,715,254,079,770,221,649,551,826,596,115,661,857,581,278,500,804,
468,363,158,907,365,044,504,023,241,977,624,785,792,028,714,698,948,622,216,
025,848,168,772,775,849,896,606,428,407,994,022,779,513,579,180,673,201,061,
594,113,960,887,819,401,827,822,254,251,758,783,235,644,599,350,074,962,964,
115,817,417,258,764,660,007,814,343,017,051,655,066,438,368,129,091,064,252,
042,247,130,263,053,660,195,439,903,775,140,031,748,347,046,888,945,002,738,
226,363,409,338,998,895,293,232,628,148,596,578,374,984,302,396,229,418,286,
908,403,297,100,885,658,180,124,588,328,269,838,253,799,788,568,961,945,125,
816,152,338,824,014,080,246,565,344,503,762,346,631,583,080,209,340,624,846,
785,053,224,876,653,821,155,439,557,838,692,089,337,599,235,306,082,400,208,
273,634,290,763,018,457,834,886,326,274,615,561,884,115,099,926,702,459,279,
840,430,591,354,824,102,050,533,503,316,987,427,797,532,067,424,006,025,824,
280,528,691,888,305,712,598,890,840,330,725,928,731,855,554,677,048,075,276,
422,466,814,503,744,845,608,256,416,280,057,458,575,634,424,671,769,658,059,
501,550,992,455,706,062,659,812,459,637,107,016,172,807,831,697,558,919,238,
855,295,268,260,869,189,211,038,737,050,855,452,686,266,776,978,315,964,633,
677,871,310,374,577,216,985,473,941,827,482,253,669,767,643,949,941,738,784,
192,227,108,077,168,348,675,569,855,808,665,296,543,676,088,079,581,709,317,
752,798,967,481,491,588,988,086,691,509,428,383,811,068,158,821,772,279,402,
467,891,597,184,915,679,134,501,509,469,860,795,821,866,614,084,397,816,403,
707,486,669,654,054,361,011,722,507,899,236,161,502,268,628,016,696,482,479,
698,476,303,324,502,079,359,768,880,244,407,787,686,696,223,509,589,583,858,
084,081,611,233,670,875,489,533,097,871,292,665,301,322,152,626,747,177,792,
487,386,990,882,121,773,685,748,031,778,801,564,290,658,101,124,070,565,781,
200,532,689,496,692,334,453,709,325,725,633,852,611,358,146,263,753,715,181,
983,399,925,381,365,507,166,853,588,778,731,587,474,583,194,574,502,683,428,
391,167,845,955,581,781,943,969,587,486,439,196,424,935,177,911,757,046,353,
126,916,041,140,438,067,039,254,591,797,095,610,182,893,653,276,606,649,030,
511,384,752,732,657,989,703,370,442,549,314,226,743,579,285,662,828,344,781,
300,127,578,860,791,371,441,779,876,499,706,764,912,295,525,283,894,666,669,
273,435,789,584,216,305,295,220,292,091,941,298,369,754,240,944,657,058,123,
502,121,829,715,561,898,510,424,644,262,391,483,047,244,814,493,900,300,753,
535,153,825,864,024,883,245,009,405,766,513,314,716,896,916,322,987,053,709,
640,882,961,129,908,934,091,393,810,982,377,650,078,358,887,275,744,398,183,
829,420,924,719,448,600,117,418,994,969,819,889,902,012,422,613,070,244,413,
295,543,398,612,007,681,456,355,284,242,258,222,261,228,051,895,526,972,383,
195,111,918,666,136,484,276,074,049,087,104,701,950,423,913,875,598,588,166,
803,894,339,281,567,044,104,544,911,882,144,095,983,430,301,125,137,401,576,
836,096,487,772,749,974,738,085,968,404,675,784,229,317,029,858,744,357,315,
373,758,266,118,986,636,158,542,043,493,981,662,914,550,707,892,450,787,315,
164,552,914,295,323,405,710,682,829,402,143,364,664,084,939,763,203,410,656,
935,897,000,960,354,392,800,415,664,899,588,351,603,801,099,695,502,169,279,
173,589,527,546,585,979,008,693,538,130,515,532,974,854,429,581,006,447,112,
676,991,043,320,854,100,008,533,080,877,926,706,146,200,674,378,984,779,446,
495,268,050,099,155,982,943,336,431,307,886,672,829,227,054,223,361,376,577,
242,689,845,108,149,464,224,543,476,604,272,663,508,499,749,570,071,397,458,
142,866,195,294,512,881,073,401,999,956,338,280,520,334,616,770,145,004,996,
027,627,721,417,490,171,836,365,272,020,559,649,048,275,120,505,836,258,259,
008,754,338,691,922,651,559,553,566,794,622,665,269,655,732,997,999,693,292,
080,892,523,121,982,291,717,605,896,812,268,637,307,467,925,654,550,917,715,
993,779,716,256,843,815,802,193,192,680,235,295,117,505,646,366,480,908,973,
021,440,166,007,163,756,465,471,101,661,015,732,089,325,657,231,059,935,315,
191,543,679,804,562,527,023,994,485,368,301,280,527,432,790,671,364,503,906,
346,804,665,981,501,152,637,434,595,400,763,037,871,069,470,517,999,843,788,
203,900,961,732,073,659,296,167,876,784,878,439,546,652,155,183,124,111,814,
214,152,065,591,906,080,795,930,577,867,295,830,479,497,267,449,870,970,979,
079,530,649,842,682,129,600,927,820,569,309,724,439,213,863,444,935,258,594,
721,049,376,285,191,864,112,450,529,968,955,798,068,408,280,250,654,838,250,
851,812,371,083,134,111,908,743,857,964,349,273,281,734,029,380,338,961,905,
476,324,723,616,273,426,790,274,287,954,711,578,078,609,111,900,132,415,474,
901,419,806,706,251,356,658,613,289,611,338,388,937,809,362,608,999,436,811,
342,297,246,154,038,881,772,131,735,835,760,804,266,042,569,042,387,360,050,
575,546,051,691,785,590,938,675,772,747,478,692,078,507,168,256,072,336,269,
737,243,817,000,796,763,477,793,895,813,606,216,833,506,365,101,014,968,385,
414,445,849,802,557,041,431,914,500,171,011,459,775,491,165,214,948,520,749,
103,782,908,277,815,956,765,049,355,218,312,977,627,484,859,090,644,260,365,
049,994,787,504,889,516,860,393,977,211,755,297,878,485,499,200,256,124,767,
656,985,360,389,801,484,233,539,925,461,682,418,612,421,403,714,617,328,921,
584,392,575,224,602,981,426,403,353,220,324,706,695,752,017,425,612,722,228,
824,942,969,346,289,895,550,433,079,149,880,491,225,888,132,132,902,997,973,
814,822,350,627,025,800,462,892,211,440,049,441,442,028,932,761,162,482,113,
487,478,963,380,659,573,443,601,918,468,577,743,195,553,097,205,656,884,022,
006,064,855,666,039,469,694,936,756,241,305,416,358,435,704,387,858,460,428,
106,088,949,113,458,670,875,027,577,476,330,140,394,545,241,805,933,727,507,
205,683,352,247,134,873,381,920,114,139,294,986,651,630,790,294,791,933,952,
926,841,797,213,006,212,139,250,026,549,428,412,959,839,590,224,290,310,162,
957,851,674,631,506,533,768,496,074,128,578,536,900,775,278,438,992,305,591,
506,552,898,036,939,987,166,747,465,827,694,932,825,767,769,903,404,786,577,
672,126,929,428,287,229,970,704,512,586,930,676,372,575,589,693,208,761,502,
567,435,067,473,163,531,764,437,549,988,622,562,523,159,990,991,368,073,906,
897,880,299,351,810,288,625,359,617,325,617,351,421,590,423,340,164,784,030,
367,760,728,545,503,707,681,686,849,927,604,239,172,715,739,362,675,482,115,
107,234,518,542,001,559,577,833,177,267,605,557,279,147,827,635,626,703,661,
021,506,091,621,704,176,427,605,602,084,833,794,821,925,061,091,136,051,280,
899,235,337,521,775,063,924,732,242,880,114,882,145,792,405,647,523,201,977,
446,761,229,067,649,885,884,215,750,179,536,441,715,537,493,293,837,686,337,
805,894,061,905,809,624,730,690,861,032,333,247,962,357,163,280,266,065,709,
586,291,763,517,006,822,325,227,699,414,296,063,597,526,379,322,078,217,825,
841,242,418,082,224,954,738,141,227,598,400,483,989,445,190,476,301,719,617,
385,088,734,952,027,656,471,560,060,171,031,507,818,926,327,130,410,446,709,
659,496,397,271,015,800,367,882,339,858,800,245,021,147,233,843,870,631,918,
508,119,159,967,879,180,888,041,080,196,451,416,590,747,676,267,630,941,593,
190,930,791,779,679,380,745,880,551,637,146,041,967,712,368,971,397,284,280,
597,910,685,834,786,311,041,768,615,364,175,640,740,633,841,516,441,807,305,
136,902,292,016,486,341,137,149,115,411,084,007,303,469,404,559,629,297,763,
873,913,344,933,923,866,553,008,053,548,261,601,592,678,382,922,181,092,945,
107,768,980,075,351,077,388,104,835,699,557,205,034,539,799,735,261,058,069,
500,855,402,456,900,553,237,428,948,927,889,398,861,984,186,044,518,767,790,
717,970,381,202,610,726,647,080,721,760,039,722,114,274,951,416,312,720,598,
917,785,568,093,642,360,694,962,658,187,464,847,207,186,642,369,215,997,238,
981,198,020,547,279,282,325,386,269,594,042,675,967,862,292,248,397,890,791,
983,003,597,295,437,009,570,434,659,614,197,865,005,366,230,094,448,967,611,
184,492,704,907,538,525,882,464,551,863,558,447,625,702,199,969,561,976,299,
471,571,436,847,953,411,208,504,435,796,575,425,505,650,374,135,440,951,009,
512,163,825,867,462,692,320,772,312,063,004,473,735,834,185,318,547,861,794,
144,451,738,757,670,117,902,795,136,023,588,802,650,480,835,358,471,971,711,
918,092,123,951,625,342,213,100,368,845,673,378,823,096,127,066,745,604,237,
229,596,803,299,640,204,182,330,963,695,387,021,553,070,581,143,148,498,686,
798,365,069,010,230,148,593,384,617,314,465,088,453,373,316,740,142,287,245,
851,105,170,465,749,264,753,177,282,505,158,506,116,579,366,226,827,047,416,
912,390,602,286,253,424,582,428,934,966,564,694,795,009,869,376,336,029,195,
692,691,198,628,719,813,572,644,908,380,437,700,171,367,664,865,385,802,138,
335,069,616,052,381,821,917,166,931,395,705,197,397,585,247,283,205,921,568,
539,233,561,535,523,125,978,521,651,355,218,921,639,347,873,804,755,555,911,
904,482,538,583,300,020,394,354,137,166,196,002,300,085,280,170,462,932,853,
160,627,745,740,934,339,549,034,184,972,108,696,560,813,043,101,244,874,245,
839,010,600,757,466,554,475,775,425,151,027,569,736,226,116,356,277,336,617,
066,520,931,684,854,067,639,114,183,464,209,228,845,095,984,720,822,715,922,
343,503,472,754,222,596,574,938,460,800,981,571,305,384,476,213,260,181,137,
672,584,569,961,918,461,253,096,965,810,349,274,388,289,684,183,590,362,415,
453,839,953,192,581,352,021,062,452,789,272,193,158,641,432,738,488,774,566,
930,400,143,216,199,584,205,923,419,032,505,045,181,700,004,060,380,911,826,
008,208,600,134,883,293,783,066,446,107,444,245,495,287,928,900,185,717,651,
474,161,757,011,785,056,158,535,863,786,720,312,309,555,056,096,757,314,693,
749,281,456,306,745,113,117,111,004,203,646,033,163,542,589,174,775,626,742,
398,310,657,058,565,113,115,056,365,480,432,087,482,159,698,131,621,227,252,
212,976,127,881,116,928,093,591,920,147,655,688,827,016,141,999,442,934,821,
077,013,054,480,226,667,052,042,897,248,141,913,588,989,934,970,966,623,920,
643,287,966,801,990,035,775,088,678,389,651,497,750,949,473,306,106,762,178,
038,855,651,694,576,804,695,828,151,059,040,739,568,175,719,051,828,148,835,
713,880,720,732,474,544,277,485,233,443,301,587,397,860,612,686,148,496,465,
420,381,401,289,731,722,122,998,935,359,803,249,867,519,108,615,340,676,426,
546,276,226,966,625,079,751,360,689,842,242,681,070,564,912,695,411,444,120,
722,586,996,484,314,013,543,617,655,686,022,417,174,153,425,469,060,117,231,
552,649,560,382,131,095,471,677,120,253,335,875,554,162,286,770,902,039,911,
298,830,837,204,781,398,936,670,337,709,612,790,203,263,069,168,315,063,561,
816,379,128,867,748,154,050,622,591,369,650,477,394,532,634,598,356,022,376,
890,547,931,090,524,406,423,822,718,474,245,167,330,774,219,358,819,564,263,
608,954,233,248,901,476,917,988,704,398,443,861,064,484,264,467,791,672,111,
212,938,330,056,115,011,947,669,230,505,050,715,661,301,122,294,258,950,267,
167,265,780,097,130,449,296,801,539,678,460,580,728,912,373,901,329,535,924,
794,397,244,962,695,195,191,705,002,986,692,050,448,309,378,263,983,277,902,
824,588,438,906,065,069,198,733,919,465,710,724,397,426,629,375,947,928,820,
616,824,414,811,390,213,720,959,115,161,186,277,100,885,089,164,006,565,467,
530,827,363,420,993,014,413,354,090,436,722,112,941,105,778,118,126,322,334,
686,040,767,426,205,493,370,183,292,089,047,647,845,450,287,921,669,581,165,
941,192,094,198,656,141,198,259,867,120,499,769,237,051,215,969,212,274,413,
912,554,881,405,362,520,388,915,199,289,254,659,647,127,164,738,200,723,764,
110,161,533,523,700,585,070,829,566,499,028,730,153,222,801,261,612,489,575,
507,126,584,893,064,741,155,749,676,375,232,361,090,992,368,190,406,404,965,
794,819,703,314,708,717,238,079,771,398,108,995,227,804,430,686,289,668,934,
777,773,595,778,830,557,822,609,001,033,930,003,622,662,944,291,863,747,252,
429,921,049,693,414,894,989,035,524,903,505,958,710,202,648,718,377,507,135,
420,449,175,275,832,955,889,574,509,081,969,817,571,853,916,881,392,968,523,
977,230,232,648,413,530,658,247,978,031,292,194,898,976,665,211,915,369,201,
399,470,055,092,801,804,825,043,227,677,742,738,647,008,433,228,444,093,058,
266,984,577,421,917,227,930,931,513,109,993,622,140,891,657,674,080,888,289,
729,070,731,845,310,569,549,243,253,252,210,736,547,407,523,647,704,650,006,
497,646,285,901,779,498,357,060,293,663,843,618,851,125,118,182,440,228,258,
970,600,947,750,642,356,008,556,358,823,618,340,562,249,198,056,760,750,481,
916,018,273,211,397,004,455,144,006,467,367,758,218,428,236,288,395,788,351,
281,603,047,134,448,730,337,848,241,803,892,629,621,573,559,335,130,259,668,
000,269,724,603,194,296,247,690,149,948,036,517,821,924,301,159,499,355,041,
378,010,625,990,891,772,323,149,539,537,187,837,273,639,355,826,737,858,312,
875,189,953,280,622,364,869,543,653,378,918,575,463,097,412,084,612,418,330,
529,828,569,640,586,600,747,650,062,235,097,368,330,259,955,855,090,865,814,
994,978,500,054,363,322,013,449,720,469,452,459,708,639,042,360,498,405,408,
395,444,808,465,736,830,683,771,646,478,186,280,183,949,944,987,883,755,908,
040,087,129,752,858,179,200,964,769,217,391,590,500,324,065,033,273,187,596,
641,884,461,974,813,938,951,917,015,697,229,663,806,314,005,615,592,976,803,
952,368,644,410,767,235,255,726,173,886,486,721,599,545,172,742,385,463,997,
514,063,388,712,537,235,390,808,936,049,156,190,191,172,409,907,086,179,322,
600,802,592,046,249,514,619,171,726,455,427,939,430,048,584,495,741,248,325,
921,811,246,556,937,958,208,079,383,360,600,826,929,086,232,084,496,148,635,
809,137,885,954,558,883,635,136,215,786,062,137,029,796,926,100,605,764,492,
131,611,609,848,493,479,855,727,437,424,454,001,120,823,422,387,585,464,541,
222,566,903,601,485,047,387,395,118,153,631,055,435,786,544,029,610,166,794,
583,626,510,880,284,604,075,931,705,582,699,323,082,687,195,011,880,123,441,
916,486,722,923,651,336,469,656,010,018,170,898,119,496,921,726,387,632,114,
894,553,846,670,162,328,965,839,102,404,248,742,340,204,644,167,451,381,892,
275,463,544,008,751,146,425,587,145,527,226,392,161,649,262,867,017,420,171,
537,852,877,500,121,651,670,169,501,951,117,868,677,387,055,192,939,367,342,
696,738,699,848,622,218,391,200,807,114,401,043,504,496,751,584,546,970,214,
432,238,129,726,812,266,940,966,086,839,878,331,806,449,589,125,674,772,517,
408,543,066,787,044,954,021,212,553,633,072,888,675,599,615,603,041,006,496,
456,863,660,450,750,645,875,410,632,747,240,894,651,922,428,829,967,834,406,
575,833,958,452,875,581,221,604,900,450,500,838,595,716,238,633,445,886,689,
303,659,476,719,883,282,117,134,160,782,319,112,030,133,417,328,163,110,152,
509,748,803,536,866,580,361,409,694,545,750,408,301,386,985,166,796,464,300,
368,567,543,137,615,435,635,422,575,205,557,591,989,615,102,178,546,779,090,
505,083,306,757,975,040,461,882,498,164,157,690,843,553,410,913,137,696,218,
946,173,393,457,784,729,330,905,479,782,280,309,524,504,986,289,229,840,920,
050,274,927,353,111,183,204,968,942,373,268,719,029,156,040,734,608,720,203,
952,944,070,196,099,822,297,942,960,601,911,886,926,277,656,629,114,209,867,
605,192,855,667,118,369,433,223,880,250,281,822,041,857,584,423,692,275,693,
869,286,975,379,664,379,283,704,269,491,168,916,321,666,543,112,681,379,870,
912,047,960,989,065,867,149,144,702,590,618,379,911,820,460,684,020,611,218,
172,156,619,585,759,212,478,435,604,008,535,780,185,517,380,945,934,325,093,
523,078,623,049,295,332,897,277,583,366,072,627,309,934,456,441,698,356,520,
674,834,214,044,231,255,813,119,427,959,077,301,203,205,814,058,494,018,707,
640,508,318,526,275,227,241,690,788,409,235,966,238,816,766,673,155,474,564,
909,251,203,180,559,864,936,964,784,602,018,958,516,466,149,530,140,795,852,
229,061,050,237,826,126,146,138,949,287,756,901,549,852,322,007,506,423,386,
585,635,833,355,958,863,719,261,939,352,452,456,789,811,905,017,496,106,653,
489,136,688,357,203,804,890,262,689,390,456,378,897,338,024,809,501,423,509,
300,230,464,783,752,958,139,906,500,369,907,428,401,714,592,967,191,361,807,
301,502,131,004,984,020,343,198,910,158,960,952,183,104,550,075,319,799,227,
635,191,273,648,072,620,449,369,047,459,711,673,109,296,928,645,615,693,495,
465,852,331,411,449,539,150,169,637,291,761,437,641,347,813,659,071,682,418,
785,740,142,711,508,227,430,903,252,249,430,500,445,346,265,414,708,012,892,
005,354,949,690,950,874,795,875,769,572,059,544,374,276,307,335,987,843,226,
885,683,626,202,512,825,643,565,967,593,953,217,278,890,676,156,693,709,995,
489,720,418,486,752,097,323,956,921,509,843,263,964,509,088,052,851,323,495,
575,753,119,234,168,356,488,696,622,230,427,710,242,253,076,770,459,463,085,
732,963,857,368,427,653,393,083,782,017,258,425,359,952,991,088,237,346,723,
484,708,830,598,058,220,667,206,879,352,089,821,025,043,347,635,787,311,711,
953,042,159,907,528,477,905,635,648,376,247,922,594,091,032,750,834,627,164,
346,762,414,121,493,059,660,005,531,228,336,879,054,765,915,899,768,777,956,
634,248,645,686,075,645,595,082,293,683,113,078,407,577,778,582,792,919,228,
813,876,218,585,314,354,788,014,832,802,576,180,930,812,766,498,356,977,684,
718,204,353,870,947,839,700,985,470,606,591,524,691,896,419,424,419,463,908,
437,583,465,150,135,329,872,636,610,505,549,753,739,824,392,096,164,454,753,
828,670,387,895,758,559,786,704,732,668,298,041,470,570,759,101,068,173,180,
761,339,591,814,863,824,052,572,816,877,824,943,652,389,053,365,408,400,253,
431,886,307,342,268,022,646,693,548,146,468,621,028,761,973,997,191,048,089,
099,760,672,478,267,665,378,405,660,945,400,600,131,408,921,403,521,553,988,
128,388,922,543,495,233,599,262,795,723,273,913,639,347,585,697,021,113,607,
895,139,680,167,134,219,469,998,664,834,242,472,180,724,549,278,213,571,762,
653,108,258,807,388,956,479,927,741,525,674,669,751,853,891,649,499,609,303,
409,428,594,656,394,749,392,889,942,133,791,526,950,389,481,336,610,938,146,
999,245,847,183,154,311,975,983,538,834,178,927,549,102,542,912,432,158,519,
948,548,963,630,712,269,024,828,489,862,519,265,187,648,249,554,665,149,682,
579,548,920,304,863,866,925,560,935,506,492,806,398,045,986,798,743,392,287,
231,764,584,625,168,944,714,842,220,129,498,600,762,160,306,691,280,767,730,
206,913,651,988,639,098,395,563,643,086,654,423,194,490,102,936,553,976,952,
373,886,852,183,568,072,979,908,348,278,565,182,100,930,313,198,556,446,184,
668,942,769,493,717,912,477,947,995,805,861,795,436,704,663,722,270,003,577,
108,963,631,612,811,903,747,107,973,287,597,464,120,600,738,997,410,820,688,
765,025,243,274,807,383,871,156,826,093,264,821,380,826,218,560,259,050,183,
470,884,724,827,056,893,079,030,067,328,872,226,676,026,376,881,229,859,321,
389,246,971,662,892,276,147,756,077,821,526,008,658,146,527,239,655,997,006,
202,698,727,030,433,844,261,060,068,824,248,909,383,919,610,200,192,738,639,
614,177,645,411,259,291,641,877,091,864,739,425,537,944,369,846,660,959,678,
272,401,205,745,007,401,051,489,544,343,949,166,143,389,826,185,958,601,621,
369,028,055,559,437,697,814,730,647,320,636,818,562,484,426,835,834,195,412,
048,190,129,745,975,259,231,843,749,596,346,017,817,779,917,651,510,998,068,
975,862,820,322,177,532,313,572,404,777,021,302,091,146,150,032,402,480,347,
124,136,038,499,745,397,830,722,575,958,752,005,276,418,252,139,298,532,885,
815,792,046,169,163,754,620,291,202,865,148,637,894,223,412,771,445,354,181,
238,251,823,413,068,391,604,765,077,454,704,722,266,029,758,637,505,229,685,
065,858,529,519,056,545,293,280,686,159,963,174,319,419,504,163,318,306,896,
332,324,622,192,264,762,404,822,338,822,485,693,123,664,614,575,298,627,746,
799,946,085,921,198,990,879,952,786,825,663,497,445,069,183,507,063,618,851,
159,730,612,974,665,474,967,799,587,468,841,614,492,526,706,425,030,774,361,
634,206,204,115,000,658,775,343,937,928,840,507,216,711,190,813,143,243,729,
760,323,097,867,028,857,456,589,812,623,490,772,316,004,876,253,210,023,145,
281,852,445,778,401,116,230,055,170,479,221,649,155,336,640,226,849,834,002,
470,689,967,400,512,844,353,976,000,981,249,987,945,640,818,555,453,344,510,
270,386,137,900,421,030,994,976,620,569,954,851,923,400,951,637,463,340,190,
307,555,433,039,940,517,225,789,864,447,725,029,078,493,022,775,999,324,144,
784,070,544,569,765,430,131,341,104,897,127,105,873,228,588,300,241,856,233,
539,439,589,673,527,184,170,693,329,595,097,160,016,118,796,936,210,452,478,
338,372,836,041,194,120,823,973,100,716,337,639,036,281,676,753,390,817,330,
742,709,199,045,944,007,195,779,309,523,503,012,518,192,461,609,958,577,841,
943,076,129,370,219,194,679,906,366,148,656,126,213,292,109,959,460,386,084,
881,014,165,712,912,703,129,517,967,968,944,056,077,976,391,821,825,096,638,
436,804,395,233,610,875,318,178,815,305,156,643,698,918,399,978,959,790,341,
275,448,416,941,097,689,823,791,025,058,378,448,935,048,681,252,493,131,781,
649,850,443,411,000,615,732,505,436,792,690,951,398,199,514,736,062,032,079,
563,042,858,289,829,702,588,193,209,840,560,146,782,637,271,968,345,832,661,
895,955,746,802,625,574,764,500,863,711,894,172,631,668,205,368,873,257,872,
792,400,470,573,338,123,913,169,792,917,753,673,858,272,634,187,816,188,442,
467,018,107,549,652,799,161,547,022,937,166,157,475,492,372,734,454,737,835,
506,656,651,917,717,338,461,366,604,801,928,759,958,822,185,520,134,183,573,
245,432,394,960,261,156,752,086,085,565,914,848,947,444,484,646,416,439,288,
740,805,931,918,910,088,212,313,663,354,920,735,347,358,025,947,899,775,303,
761,945,953,698,451,528,317,599,029,846,683,882,082,546,145,693,218,860,021,
011,144,350,443,489,138,465,406,152,574,413,442,026,769,031,923,555,882,050,
816,930,275,839,083,784,550,015,376,862,805,781,296,053,933,186,826,255,376,
662,224,487,197,366,057,737,773,837,348,540,520,970,676,938,802,019,975,785,
850,303,885,085,467,386,450,910,661,049,035,358,878,584,651,425,515,070,252,
329,723,287,124,941,491,715,363,850,954,870,426,532,709,823,050,783,684,803,
904,979,529,992,832,547,528,723,327,664,847,330,770,136,880,190,387,569,044,
016,571,372,767,733,829,037,380,365,533,058,984,237,636,172,008,089,258,777,
801,525,750,993,111,888,419,513,925,935,522,944,086,422,237,611,455,458,797,
845,809,468,620,106,578,217,481,166,758,797,639,833,243,735,204,571,405,415,
026,530,008,641,076,193,431,503,355,942,863,487,432,823,781,473,156,900,907,
063,547,834,537,804,880,384,577,554,151,601,881,162,476,225,811,105,447,945,
323,854,433,505,801,209,697,065,943,927,456,191,759,951,328,865,009,471,764,
900,528,384,659,332,381,644,828,860,562,801,114,531,249,536,872,461,724,505,
740,411,331,900,180,041,967,607,282,918,529,446,401,548,794,443,833,949,561,
695,369,820,745,986,050,799,163,382,201,817,516,605,224,319,127,579,913,468,
082,500,758,339,073,844,651,263,932,580,306,875,809,445,737,894,344,850,721,
090,713,982,460,732,129,828,711,925,014,027,522,969,776,392,693,774,722,397,
102,425,123,808,408,661,477,945,423,991,060,807,491,681,049,596,876,231,423,
488,971,789,286,547,345,352,006,174,748,825,391,687,794,952,548,249,994,717,
799,383,762,861,399,339,259,822,108,886,432,381,044,618,829,610,572,771,503,
395,468,454,567,186,529,297,547,978,923,307,691,775,104,765,387,719,740,411,
118,715,472,396,126,637,865,714,430,738,322,652,146,781,392,119,842,058,862,
264,991,715,186,795,926,312,296,875,918,661,635,896,765,469,678,369,907,172,
111,224,484,033,468,666,370,374,910,506,551,957,868,745,275,784,940,041,280,
555,227,239,868,658,203,766,746,672,200,059,017,994,290,026,907,603,266,794,
164,440,566,630,221,004,121,134,098,963,292,801,120,635,619,336,962,054,016,
316,904,540,092,418,801,622,022,991,355,306,740,973,137,826,975,846,485,745,
495,543,764,494,607,799,774,079,709,128,546,710,961,895,917,254,731,332,293,
280,494,712,729,712,899,556,259,446,105,840,600,510,305,987,798,256,338,762,
253,570,629,949,692,887,012,200,387,825,377,361,559,767,379,060,465,385,630,
619,675,756,928,528,875,038,992,774,886,634,377,606,441,263,280,701,741,648,
532,786,360,620,206,528,008,937,709,825,424,460,969,704,133,804,826,522,494,
720,475,237,302,419,961,423,655,732,753,589,776,380,394,604,672,243,914,626,
401,991,893,529,131,137,664,179,054,843,233,867,470,767,013,605,488,395,501,
552,109,660,106,909,149,463,711,697,500,049,793,134,852,301,139,438,435,767,
273,642,565,449,219,708,940,196,925,935,733,849,299,236,465,173,465,872,243,
135,657,626,617,366,749,516,542,005,150,847,939,068,526,027,544,614,445,692,
634,356,765,790,141,489,493,699,666,852,112,016,404,648,805,104,280,477,649,
282,237,312,059,763,785,087,354,936,145,204,536,408,129,372,347,105,023,447,
916,748,695,280,248,882,139,527,436,099,197,134,333,291,489,386,680,924,213,
447,117,070,330,715,705,730,652,626,500,327,113,916,191,849,373,707,068,864,
944,069,604,935,877,197,449,719,250,373,336,731,175,618,342,170,568,039,973,
473,904,066,677,379,212,136,947,274,619,518,816,285,226,471,718,654,745,158,
809,027,455,748,785,391,782,365,083,570,806,842,097,610,805,599,813,642,125,
846,540,442,081,389,690,669,319,842,694,881,481,814,096,524,285,514,336,549,
490,561,214,353,814,343,586,067,839,228,848,100,835,554,953,232,851,298,759,
898,553,042,905,412,409,135,312,632,018,478,835,606,517,308,292,286,198,035,
662,428,089,106,379,519,559,232,229,808,707,026,636,902,044,235,028,265,146,
733,036,626,013,738,858,713,612,377,408,057,471,858,394,208,988,026,622,055,
801,441,793,265,262,253,590,741,136,994,507,605,713,722,151,818,985,514,027,
015,553,865,078,944,444,027,256,134,126,994,455,417,626,363,139,153,402,302,
285,892,709,528,042,308,711,398,826,074,746,936,374,734,507,818,581,648,212,
191,374,173,533,434,284,842,081,315,989,933,327,399,301,655,705,273,264,848,
687,121,029,787,415,273,815,081,005,411,338,348,048,957,661,540,666,698,349,
540,887,253,434,163,728,460,751,779,681,923,183,569,268,261,134,728,913,418,
448,450,929,546,213,545,386,898,043,039,347,534,870,536,167,165,338,413,061,
357,197,748,396,773,391,939,688,164,261,747,408,499,089,083,295,912,574,476,
359,088,735,079,434,469,032,799,206,705,302,834,702,283,914,586,000,919,694,
480,762,533,332,514,862,119,919,546,525,001,692,282,560,286,306,849,173,401,
767,561,293,273,694,660,339,468,536,630,739,199,372,626,568,908,779,820,543,
876,197,962,644,890,806,643,152,721,918,969,874,653,586,057,969,354,586,878,
014,934,530,520,068,661,714,756,181,980,531,136,567,557,127,701,475,355,104,
814,318,298,627,878,764,177,817,073,631,116,216,418,187,960,598,657,941,572,
443,288,596,431,409,660,596,662,705,869,270,438,861,249,279,397,839,772,305,
848,146,492,816,349,105,283,329,092,857,576,590,009,758,827,937,452,527,014,
545,724,154,440,114,036,673,236,954,266,037,276,702,685,475,341,239,405,582,
754,426,110,845,430,781,505,695,537,398,645,151,810,776,083,224,516,024,769,
481,692,544,309,613,661,074,180,300,494,934,131,864,475,213,056,081,641,821,
236,694,397,013,680,586,968,186,448,494,795,473,347,376,532,037,971,093,894,
248,798,645,540,352,755,149,194,014,819,215,607,514,456,515,426,823,916,441,
946,933,897,593,836,095,553,248,794,883,085,820,914,155,438,931,885,013,962,
693,875,792,877,106,450,705,605,617,581,319,204,735,655,587,572,502,187,238,
103,934,762,350,587,911,721,918,532,457,356,802,428,365,531,859,520,292,023,
171,216,548,341,397,766,727,153,093,400,328,784,173,862,318,815,118,218,301,
794,033,757,439,986,540,816,879,156,291,732,343,031,726,264,699,506,638,219,
437,509,866,620,591,677,799,183,059,989,068,806,372,930,039,284,525,462,999,
819,984,888,517,015,781,986,816,211,831,469,871,552,220,625,603,190,163,877,
169,531,548,842,761,106,250,229,530,283,684,166,987,203,021,978,176,369,893,
091,876,373,133,701,409,340,197,840,283,915,337,283,349,338,128,134,938,942,
616,905,741,060,469,926,351,078,282,360,197,341,610,609,329,373,876,550,088,
101,687,867,338,032,165,165,068,880,572,769,040,729,234,190,722,172,812,923,
526,184,490,148,775,087,863,409,287,238,028,677,452,586,578,495,769,330,072,
475,374,451,085,801,466,583,487,350,422,190,449,586,462,519,647,905,563,120,
409,026,060,225,266,073,739,858,547,082,667,591,590,125,123,150,037,692,374,
116,725,222,802,530,733,537,926,791,028,234,430,834,794,755,654,984,353,505,
897,187,881,372,012,212,654,243,123,502,669,619,488,693,583,602,976,932,670,
747,017,997,704,845,614,982,029,039,332,901,931,535,355,998,263,369,467,624,
211,055,569,818,112,001,450,069,992,959,442,974,736,071,968,585,883,437,318,
083,048,711,797,234,684,474,954,660,913,302,296,892,567,814,077,036,015,901,
298,236,977,416,362,529,475,075,791,437,156,853,138,727,249,008,800,626,030,
199,347,748,363,705,501,428,613,187,284,968,883,614,577,070,910,590,064,691,
193,649,969,766,752,680,977,426,186,629,943,318,047,269,010,675,606,301,371,
734,311,263,856,110,084,111,971,203,845,681,903,562,520,171,432,345,990,292,
196,939,547,137,986,496,565,249,606,453,495,294,258,665,942,465,624,777,377,
456,195,786,781,650,455,846,399,477,258,089,083,805,622,312,678,002,476,914,
543,968,465,742,595,417,139,063,765,559,849,416,806,696,065,452,319,796,068,
361,147,391,898,924,802,684,229,872,810,007,146,983,138,151,418,397,879,543,
769,467,845,651,710,091,446,018,467,578,129,178,029,269,446,253,047,766,979,
065,627,578,139,825,993,183,344,709,409,875,290,515,693,068,386,728,850,321,
955,965,072,897,918,817,529,233,569,852,096,564,285,024,742,104,446,194,288,
436,990,642,955,388,677,541,501,699,441,888,166,454,600,504,739,148,974,153,
328,795,323,090,799,643,311,712,148,856,514,026,612,930,701,223,353,189,485,
012,493,450,008,452,085,798,137,949,801,967,977,998,529,117,746,102,117,891,
146,128,664,779,994,558,468,807,182,687,961,869,703,834,791,406,576,458,753,
282,921,636,640,992,253,076,065,334,692,876,389,432,125,307,098,219,080,945,
875,553,949,407,598,082,699,905,733,569,435,886,723,753,506,334,391,910,112,
822,040,199,553,541,975,678,172,231,555,379,537,143,075,990,017,104,632,151,
575,446,356,105,511,816,211,208,263,688,446,640,973,464,878,326,577,160,142,
525,983,955,637,164,481,986,474,386,609,485,896,269,654,398,887,126,542,405,
540,902,822,530,082,399,446,692,349,909,669,264,228,373,706,881,618,521,552,
196,913,171,229,680,874,376,422,285,546,900,630,207,558,532,254,994,379,267,
073,452,292,297,410,086,026,238,050,311,366,262,004,956,200,934,578,468,460,
057,149,743,642,211,960,525,280,090,496,298,796,177,417,591,056,458,448,236,
123,265,793,391,826,117,900,676,847,448,157,954,706,469,037,186,340,427,035,
578,728,681,970,415,105,975,840,014,629,764,223,519,019,505,639,053,045,850,
398,057,505,315,453,474,913,972,933,709,594,658,216,221,453,532,373,539,972,
632,328,822,683,148,628,159,209,895,955,122,000,501,481,361,407,418,820,551,
247,678,383,372,929,619,999,203,729,898,128,056,482,644,963,910,756,806,256,
436,707,561,409,750,281,041,325,837,796,950,361,859,861,925,145,123,400,865,
598,870,277,958,400,705,265,896,508,992,442,934,488,380,190,435,629,847,508,
494,230,447,285,234,975,707,191,611,189,758,756,110,422,197,250,431,545,056,
594,921,127,232,835,255,187,296,387,909,880,712,829,394,430,267,427,454,607,
485,547,978,317,190,854,985,678,193,369,607,426,797,920,718,096,755,208,210,
505,737,368,012,083,218,156,334,356,433,815,255,540,369,390,774,764,130,949,
080,505,953,758,249,229,635,533,412,398,527,324,631,591,831,724,527,462,818,
584,171,038,377,037,339,905,628,643,550,781,722,393,414,601,455,178,613,884,
593,137,567,906,760,699,648,059,689,026,448,537,223,014,529,283,298,598,285,
433,238,242,100,187,777,829,115,387,594,285,758,866,300,527,983,368,777,181,
269,428,403,075,212,459,038,874,347,247,378,593,653,284,592,686,045,341,259,
371,313,424,700,718,956,747,950,408,345,202,816,247,555,789,158,841,741,853,
162,187,786,203,778,994,160,160,910,475,358,289,890,613,626,948,147,667,859,
670,213,984,582,218,355,903,460,415,027,320,489,611,908,184,181,901,322,805,
174,840,525,418,948,020,542,720,763,440,080,683,077,157,090,718,116,942,309,
508,335,374,763,684,616,516,303,549,137,743,454,252,226,527,233,180,521,831,
421,442,787,913,015,186,487,211,845,649,246,189,078,220,179,316,528,043,544,
496,940,888,521,730,517,036,704,627,257,037,126,689,111,443,752,770,667,866,
965,780,271,055,877,465,161,274,431,706,198,097,504,638,428,910,154,001,356,
329,091,674,708,113,460,758,294,671,038,434,634,746,880,922,140,546,953,680,
589,152,440,473,578,190,208,874,343,126,682,223,196,865,524,825,584,006,871,
211,740,969,036,832,947,001,480,188,167,432,498,160,831,271,498,119,776,993,
796,389,990,083,064,377,220,225,871,852,901,234,776,011,821,212,063,077,990,
069,230,373,430,183,409,500,497,440,729,634,691,188,400,069,590,553,213,391,
153,168,814,694,825,833,039,696,761,159,985,036,626,520,319,744,221,857,589,
787,594,805,046,037,303,746,914,759,090,190,835,909,888,528,116,569,303,189,
072,560,745,881,169,156,964,295,182,840,240,601,808,678,474,789,234,920,704,
683,552,038,214,808,347,468,020,839,672,658,226,318,958,328,603,965,329,966,
296,168,167,493,963,648,984,209,645,527,528,969,167,876,751,114,438,371,036,
263,510,439,531,410,827,265,971,850,080,206,802,879,465,972,445,366,205,959,
879,346,404,444,005,920,309,018,823,211,930,038,843,804,251,571,846,819,188,
600,091,182,394,212,786,604,421,550,559,466,732,000,935,420,761,469,628,530,
985,472,533,796,543,678,815,954,666,925,928,846,944,282,242,084,901,585,232,
933,142,461,513,824,433,323,157,766,297,307,954,456,480,944,121,713,766,283,
038,877,069,040,837,695,194,160,245,971,710,486,971,710,703,402,961,073,992,
318,268,759,109,371,433,443,240,005,968,343,376,691,335,296,719,735,867,179,
686,449,085,338,897,393,562,152,009,505,522,591,268,260,353,454,161,848,774,
816,775,106,663,150,237,424,243,343,084,168,729,313,205,980,791,722,481,001,
220,386,953,629,392,862,153,873,428,122,102,289,304,024,657,176,235,301,549,
844,157,803,440,934,328,420,210,708,071,298,362,715,530,251,678,370,269,967,
168,555,829,264,979,889,259,159,203,131,072,519,662,377,969,130,726,697,743,
310,914,862,346,365,893,687,127,759,948,731,414,032,829,624,675,393,704,499,
381,898,049,995,050,663,257,245,332,246,065,272,618,862,815,748,031,737,293,
970,103,779,501,061,977,731,083,121,286,236,394,447,407,110,774,173,942,388,
179,265,946,252,434,011,090,596,545,469,669,764,683,697,220,402,123,907,239,
400,828,306,693,414,778,728,885,378,021,084,591,320,086,475,417,212,520,253,
072,147,812,784,288,145,776,082,762,190,787,202,797,812,429,089,009,390,109,
794,451,439,825,866,730,843,434,708,271,359,503,382,752,431,512,700,633,766,
201,662,002,424,401,996,459,288,434,902,589,644,351,741,892,384,317,363,815,
655,786,809,570,178,213,724,537,516,566,426,917,082,958,848,414,103,347,973,
322,057,713,979,093,605,301,763,688,183,325,005,649,925,710,496,053,082,531,
561,850,987,288,663,572,299,644,186,991,621,413,438,818,522,692,925,435,044,
027,425,355,465,717,856,144,149,306,449,268,119,647,017,921,113,398,834,206,
469,531,057,151,568,335,540,619,385,938,487,886,215,715,665,108,887,028,078,
602,007,330,015,307,718,917,549,793,077,273,990,567,155,144,607,996,385,690,
614,819,946,879,709,502,463,259,039,386,644,482,753,352,029,969,191,295,260,
405,371,231,481,916,672,482,552,667,536,403,483,540,817,744,462,213,069,063,
813,764,572,600,910,490,345,673,749,814,859,273,344,259,029,055,209,969,985,
727,322,276,353,305,750,107,734,695,213,090,870,987,081,492,877,786,747,374,
539,239,137,449,926,528,287,880,581,147,977,049,937,173,242,857,038,697,877,
673,338,453,987,939,946,276,664,182,163,329,821,832,702,537,551,129,309,952,
752,038,101,858,753,543,423,834,536,068,105,398,284,384,934,196,096,982,911,
781,557,435,629,206,917,340,390,064,610,820,007,494,827,749,731,414,224,785,
106,634,982,820,456,189,891,710,392,931,451,603,200,164,523,162,119,005,561,
391,468,078,588,190,037,602,383,020,551,603,690,829,771,098,932,819,735,738,
504,005,750,989,987,231,041,541,807,799,791,950,561,827,937,431,325,259,766,
762,602,022,422,643,985,186,115,654,368,038,269,152,790,482,328,701,505,757,
034,453,060,313,636,201,557,575,829,389,868,705,195,935,971,545,706,170,016,
557,318,167,332,649,340,117,704,412,312,903,684,968,051,472,297,217,047,711,
892,439,208,024,043,778,593,644,952,552,093,568,270,616,361,262,192,431,727,
410,130,986,384,959,673,513,868,464,672,989,776,046,533,598,848,488,307,503,
251,702,536,178,112,624,964,278,250,701,944,516,386,856,427,751,640,367,164,
630,891,649,982,112,487,070,588,860,566,175,801,149,270,089,902,620,922,734,
177,983,470,990,756,744,963,677,782,502,095,379,227,911,369,350,176,886,445,
222,734,835,272,934,595,988,098,180,940,688,914,430,554,496,050,756,487,763,
375,998,692,917,298,284,515,189,252,058,202,454,091,781,586,849,464,395,660,
716,333,090,370,645,499,887,047,857,435,881,423,345,427,434,712,523,177,438,
826,726,100,200,393,863,821,513,443,309,788,310,957,162,190,198,946,426,884,
424,153,600,168,842,524,558,696,024,867,767,668,213,072,299,041,940,761,059,
300,879,235,987,481,966,707,395,404,985,190,256,099,664,450,098,649,107,177,
159,363,569,789,686,592,888,068,290,957,273,291,931,023,899,321,715,710,482,
354,526,230,417,158,895,020,514,375,184,862,435,997,012,543,703,344,806,261,
761,113,927,825,660,559,020,451,687,517,878,727,745,874,980,324,736,508,287,
082,452,783,648,914,443,251,868,125,739,316,745,842,274,856,636,772,140,733,
904,002,367,912,621,710,249,633,915,100,472,346,798,035,717,155,719,200,686,
942,310,640,520,593,313,288,779,489,188,465,146,459,919,793,165,099,349,391,
479,275,441,212,916,560,003,586,900,459,843,490,931,384,987,396,744,939,047,
672,322,356,603,880,466,128,065,795,826,403,493,421,994,255,924,403,928,328,
153,388,094,963,640,531,724,279,026,305,770,420,917,430,477,115,297,587,148,
046,178,915,584,376,839,121,452,003,211,850,615,354,222,682,535,738,666,928,
708,786,372,316,539,316,926,148,386,011,633,099,617,237,836,345,816,018,159,
015,791,030,046,009,629,801,335,924,685,949,156,516,915,871,770,818,212,343,
042,163,375,371,461,604,159,189,721,334,166,003,300,414,086,047,658,751,171,
334,351,916,350,909,949,341,584,886,759,539,631,322,745,405,091,982,537,472,
303,354,190,592,151,961,597,153,514,514,759,578,643,824,400,663,875,019,373,
429,345,299,163,190,106,098,445,940,244,468,965,027,212,228,968,589,533,371,
120,444,470,287,300,441,111,228,207,582,629,921,966,855,082,217,391,737,526,
639,162,263,324,539,804,066,758,891,246,930,200,259,691,582,667,418,635,212,
380,755,011,691,878,988,534,846,737,986,024,860,562,135,507,786,699,466,878,
916,028,225,900,953,989,553,896,155,525,948,057,942,819,526,276,926,245,913,
715,293,518,629,806,214,038,841,573,083,904,830,847,639,778,718,642,321,088,
092,321,047,368,689,963,750,128,715,139,346,971,106,356,294,451,225,311,118,
037,955,738,293,850,362,106,864,885,351,083,570,889,730,021,800,445,503,818,
723,668,797,575,797,731,544,587,690,621,712,043,681,053,687,177,602,753,421,
918,460,466,604,007,369,359,659,240,491,961,468,629,434,711,148,758,364,601,
368,507,633,768,083,155,783,913,040,331,071,958,737,931,115,595,411,877,852,
401,258,789,122,037,818,695,190,411,551,155,522,445,970,609,533,422,227,351,
547,821,870,012,966,697,171,129,013,136,065,667,102,546,242,689,912,855,964,
539,997,643,258,431,128,163,220,293,035,634,745,166,713,532,906,777,242,240,
107,762,247,523,814,516,642,845,091,448,794,064,529,867,631,657,492,476,842,
763,482,855,420,201,744,321,012,143,297,222,931,962,221,791,771,862,809,781,
070,671,060,539,746,405,456,232,177,450,242,097,479,694,587,564,635,621,043,
344,477,610,505,375,551,992,812,050,113,186,044,527,990,624,093,979,043,939,
191,808,559,236,156,131,266,394,043,498,907,417,707,054,039,385,482,316,330,
937,500,658,500,691,871,627,752,121,460,657,506,387,025,453,313,367,768,446,
494,461,291,689,425,564,825,877,623,299,722,062,511,381,525,928,793,355,265,
286,420,771,587,751,641,850,759,900,113,460,809,474,405,039,662,375,317,288,
012,036,140,706,687,931,805,871,381,791,230,447,594,665,626,202,552,273,770,
628,323,055,467,482,671,388,610,618,593,876,706,390,567,595,344,580,814,425,
864,876,150,838,759,648,140,229,638,061,610,920,049,998,473,177,899,511,637,
469,941,390,101,033,171,959,254,535,006,015,263,958,415,906,434,567,136,211,
620,461,337,973,446,010,438,913,303,943,003,062,996,730,318,122,231,046,954,
300,256,986,288,360,653,546,851,314,661,541,148,146,979,575,066,411,755,012,
463,398,405,666,463,007,054,822,602,422,749,357,917,179,140,688,842,930,129,
947,429,922,420,831,517,605,111,043,946,184,063,985,884,366,005,052,334,046,
632,020,499,357,854,044,278,021,244,505,865,640,135,030,530,659,587,023,751,
256,538,619,545,151,856,755,458,499,202,003,391,214,321,187,538,751,518,807,
899,804,012,694,926,783,516,972,670,603,109,269,493,016,762,726,590,094,013,
730,632,732,993,986,852,388,896,532,132,808,051,662,315,331,722,217,249,431,
445,973,035,523,942,838,752,174,210,615,167,205,916,920,316,392,900,015,233,
427,543,823,644,808,080,976,194,883,514,416,439,539,812,881,595,973,994,925,
395,302,422,463,579,978,877,777,974,290,128,882,678,481,297,391,284,992,771,
783,967,305,389,497,997,433,026,393,988,442,826,381,135,746,298,869,123,793,
564,518,117,512,102,457,913,293,140,117,295,808,011,562,637,039,138,065,344,
075,853,079,743,032,394,125,886,461,848,966,583,804,757,271,622,167,256,365,
638,369,407,103,114,484,414,368,623,814,684,544,402,315,334,515,301,764,983,
064,333,026,336,566,576,287,471,024,988,393,250,589,713,188,260,872,149,191,
827,166,803,241,664,580,081,466,521,867,257,581,454,560,182,612,370,045,942,
280,103,224,683,327,874,036,838,003,050,092,302,187,132,193,736,527,473,805,
933,968,124,803,168,768,427,984,251,816,942,554,005,221,000,263,442,990,906,
677,542,708,126,117,383,925,713,450,796,021,972,160,523,121,043,957,616,712,
975,593,408,832,858,010,344,266,898,582,386,244,081,756,352,260,937,038,396,
261,864,221,383,592,445,622,017,983,825,611,731,364,342,156,983,494,167,477,
003,755,511,286,211,561,075,705,063,590,106,701,008,490,594,243,780,006,652,
811,100,278,506,035,923,506,262,805,865,305,299,754,743,312,550,365,333,226,
224,708,561,145,377,086,230,286,655,501,612,478,780,646,883,285,437,549,988,
896,665,925,519,127,722,999,946,553,806,738,480,316,121,720,222,899,055,195,
149,212,120,538,885,190,185,739,184,662,101,575,543,749,521,177,169,995,248,
536,090,215,979,007,305,705,417,224,086,771,266,257,782,586,828,144,912,283,
764,664,313,237,909,856,354,251,993,953,605,864,470,561,128,361,702,379,501,
688,573,539,152,435,324,353,136,741,193,448,353,333,913,235,331,577,901,801,
864,420,191,705,084,807,792,755,983,742,158,861,556,170,246,394,118,933,001,
317,361,864,917,802,631,322,515,579,701,936,472,396,771,202,860,340,978,399,
750,622,750,298,748,621,487,745,260,578,339,697,889,264,821,635,131,331,383,
746,673,975,950,487,255,660,814,884,317,415,686,178,850,832,049,294,517,424,
331,096,273,605,735,815,233,601,354,136,641,239,395,689,392,583,197,033,797,
433,523,637,638,132,604,292,214,248,831,965,306,366,437,693,749,419,850,358,
550,767,842,251,123,122,983,988,669,104,554,062,267,103,936,656,476,867,008,
878,116,435,320,179,105,310,853,369,175,668,701,582,495,089,112,702,329,994,
173,232,998,558,296,040,053,839,125,130,980,533,848,295,139,629,654,128,535,
898,463,474,499,115,681,043,444,359,519,646,097,751,032,856,764,303,398,429,
760,014,557,843,809,182,981,557,834,661,720,550,464,639,016,833,742,799,806,
315,849,360,159,531,804,478,556,781,811,329,473,566,892,323,298,596,545,395,
420,630,876,098,219,694,688,408,299,950,168,473,259,400,806,629,204,984,845,
425,231,991,475,834,896,579,025,568,365,140,135,434,189,993,923,055,198,106,
999,426,506,490,965,073,703,327,487,195,437,217,676,049,305,855,555,666,714,
403,024,307,302,674,418,218,666,292,643,313,023,829,189,550,518,989,318,806,
642,170,256,154,636,056,578,044,043,017,623,055,580,093,783,734,272,882,784,
322,798,722,605,416,522,981,492,591,485,530,254,601,198,540,111,479,396,619,
252,882,920,300,241,004,392,055,504,663,772,890,772,308,875,100,323,880,212,
625,764,403,938,341,253,630,009,086,050,894,379,677,459,508,496,619,050,724,
579,017,316,968,360,552,660,013,086,450,058,824,674,729,359,520,605,862,710,
105,220,565,235,910,834,490,269,913,270,204,804,576,113,281,027,005,594,720,
310,773,680,824,642,463,628,759,475,807,972,672,475,694,788,493,743,822,304,
231,826,905,006,166,593,799,107,624,998,713,204,785,211,678,998,384,324,727,
445,992,393,600,190,707,109,068,389,069,128,261,469,750,670,508,585,515,762,
269,779,350,177,547,484,967,605,454,852,775,552,269,198,277,878,383,622,118,
777,880,768,354,123,647,349,840,178,509,014,179,710,317,222,336,769,876,472,
546,226,326,582,067,794,337,379,512,700,894,131,715,179,383,702,576,434,312,
942,690,451,599,604,725,916,467,974,915,768,021,295,289,069,910,807,188,820,
973,766,182,505,503,712,886,000,346,359,341,222,040,110,690,139,023,784,874,
170,719,991,318,364,881,607,928,312,758,355,240,389,593,067,866,018,235,358,
123,089,684,986,440,786,193,090,008,729,512,641,028,034,863,243,136,401,282,
468,336,018,701,489,671,384,653,741,567,131,008,565,462,205,855,294,354,261,
643,850,410,638,304,386,618,773,447,106,661,825,892,397,296,753,202,222,604,
397,155,443,679,742,472,911,539,549,422,323,492,654,118,436,536,175,564,361,
806,112,429,617,124,078,988,287,320,938,345,707,738,645,573,140,097,160,319,
447,117,487,928,663,911,900,913,421,874,329,606,071,394,381,744,309,272,037,
649,631,982,971,135,877,572,870,389,588,209,040,487,562,632,347,200,767,914,
947,257,017,117,492,062,368,480,458,846,481,383,214,398,854,767,764,785,394,
272,488,682,535,257,840,131,468,588,483,239,867,627,828,313,851,984,830,901,
038,821,025,223,354,767,915,479,910,129,384,024,821,528,428,899,838,850,186,
465,011,151,122,709,660,176,271,213,079,635,072,253,079,769,176,952,398,817,
223,752,749,794,991,326,678,202,497,442,746,878,702,968,959,404,849,312,760,
388,509,207,537,418,261,607,182,954,949,515,809,476,054,653,359,506,790,503,
323,694,407,707,134,618,337,283,406,654,840,928,143,949,819,780,411,958,332,
764,663,316,746,173,311,027,358,174,385,638,417,983,563,070,534,423,672,341,
041,933,928,432,548,282,591,006,187,462,831,827,495,935,972,068,450,607,532,
742,697,556,050,962,886,315,617,585,633,463,059,992,201,819,687,582,721,575,
229,825,990,164,775,755,525,314,242,570,155,732,141,664,117,005,362,616,660,
138,978,836,849,732,642,370,914,610,054,555,679,388,908,803,531,034,328,134,
827,902,251,182,962,765,239,248,599,161,877,500,295,613,601,444,733,675,071,
715,909,999,717,890,581,519,073,256,011,810,285,550,290,878,156,494,006,735,
472,316,170,345,313,148,091,214,775,365,014,859,316,848,319,364,305,871,528,
496,898,768,130,749,393,793,399,417,683,563,457,570,800,759,308,842,099,076,
062,094,646,461,368,509,372,907,377,607,553,169,800,487,275,462,109,006,806,
912,945,667,369,858,313,601,460,917,022,798,138,541,441,095,901,434,564,715,
797,370,333,900,008,751,775,324,659,054,831,776,360,474,239,695,029,224,421,
249,152,082,494,390,037,613,271,172,074,605,257,949,941,628,916,062,085,947,
398,902,657,567,060,882,661,907,119,954,871,980,829,728,514,934,512,573,303,
986,942,091,434,637,776,596,262,119,787,776,401,340,962,800,815,113,763,435,
295,757,918,645,273,755,343,986,336,803,760,861,683,630,142,400,787,050,579,
171,304,391,648,389,224,117,043,968,567,577,496,690,826,681,253,432,988,354,
532,769,780,329,125,080,456,101,249,841,104,426,468,010,668,678,004,727,015,
767,603,184,972,104,204,617,818,584,658,838,270,761,835,923,135,012,567,347,
015,797,186,492,835,886,368,407,446,067,463,462,636,163,707,567,763,254,416,
205,483,650,357,881,679,606,781,826,741,317,742,557,730,708,600,370,106,865,
515,205,940,752,984,613,417,266,058,301,353,310,535,321,654,957,501,998,968,
336,289,065,970,878,105,926,024,009,647,807,319,426,407,608,718,980,011,775,
217,178,486,922,108,433,733,983,214,432,115,350,239,295,578,268,468,989,853,
021,366,257,444,302,458,814,012,262,833,850,682,790,380,681,669,706,976,283,
451,183,065,102,312,244,110,969,777,900,377,846,543,318,336,901,090,525,266,
156,147,248,003,191,069,575,489,857,604,864,057,207,272,465,672,346,573,215,
387,345,838,735,631,965,568,150,588,690,704,377,283,601,262,728,971,767,617,
519,674,979,028,962,139,868,197,181,549,903,757,718,337,405,351,283,627,081,
494,135,462,278,957,734,223,286,018,055,230,664,504,013,281,138,364,822,180,
735,554,024,614,104,660,066,522,180,361,432,169,975,769,284,126,573,537,935,
671,758,628,102,000,619,551,258,998,056,917,937,670,639,859,229,036,076,681,
248,145,587,171,109,216,746,907,881,640,919,017,567,857,385,135,255,404,763,
430,991,609,820,727,886,206,460,111,190,754,754,925,115,920,888,517,464,918,
857,684,133,043,072,339,259,182,579,103,467,532,833,438,983,679,722,372,238,
629,152,202,930,225,828,455,810,857,705,825,357,483,148,656,371,773,362,575,
233,812,835,119,170,271,366,143,831,643,870,593,080,378,677,711,641,863,682,
116,243,051,408,425,370,377,636,353,457,214,666,409,195,741,809,067,786,842,
390,613,165,693,472,167,907,148,850,865,462,563,359,933,261,652,349,695,664,
713,979,023,481,342,250,331,190,538,722,453,709,536,650,269,371,151,396,744,
285,210,598,822,425,965,222,685,646,310,109,237,022,391,556,866,986,819,735,
804,504,782,703,245,369,214,987,009,293,835,686,148,671,678,123,143,303,382,
905,047,757,715,776,978,909,906,970,956,840,701,950,188,430,221,205,471,483,
003,743,163,900,382,749,554,735,728,031,343,974,328,189,910,741,361,497,777,
917,735,770,321,185,003,699,586,231,950,895,091,449,121,356,017,599,252,459,
278,353,077,675,365,233,555,943,505,523,152,090,995,787,125,985,573,669,565,
352,261,413,715,669,874,850,262,140,208,653,133,464,525,987,930,076,872,706,
499,560,207,959,771,326,862,529,253,802,661,218,367,947,034,925,335,666,669,
069,250,842,030,038,654,844,324,828,984,349,630,876,411,973,287,916,501,495,
638,503,468,459,454,564,902,062,856,890,698,621,473,311,861,895,023,962,785,
941,468,029,793,728,793,014,096,196,219,033,938,904,029,851,970,596,168,558,
313,861,615,627,496,211,516,325,099,890,297,581,461,747,981,354,882,189,962,
556,588,780,122,272,896,126,898,531,876,454,803,199,667,580,750,136,386,101,
677,130,798,934,755,979,747,123,155,528,148,772,508,443,347,899,368,464,395,
378,642,113,266,305,483,120,707,759,495,386,561,264,707,197,600,834,656,519,
220,940,921,564,315,276,035,221,577,055,635,906,875,978,132,934,015,088,230,
326,523,815,439,762,447,186,263,798,009,417,337,266,022,940,303,345,681,268,
671,071,659,940,534,459,165,849,814,272,212,618,204,063,324,035,104,274,501,
885,720,137,492,882,344,444,458,332,004,739,291,774,027,444,071,090,911,181,
125,984,327,685,920,310,719,822,071,922,702,946,101,960,199,908,061,135,102,
899,077,702,743,088,489,661,191,918,849,787,226,869,142,923,823,035,961,308,
392,526,193,200,054,684,137,637,590,677,458,312,967,863,498,776,659,172,951,
761,853,989,980,910,841,657,178,384,072,943,173,040,198,945,979,609,517,630,
394,175,638,450,974,654,394,831,124,021,578,599,534,534,389,399,958,382,808,
156,475,015,618,914,146,501,199,575,950,408,972,016,881,271,334,813,400,544,
096,485,069,522,655,890,564,388,698,197,237,973,383,460,388,836,083,763,664,
431,050,787,099,951,658,343,403,934,805,106,018,629,694,965,163,927,460,931,
047,627,214,718,167,336,238,362,533,242,618,808,871,055,065,273,778,477,974,
612,586,418,590,941,664,914,727,488,317,431,232,447,525,291,767,842,928,850,
628,512,668,242,417,564,248,323,915,661,238,033,686,912,382,565,520,776,377,
164,128,044,728,536,967,486,829,251,376,573,387,731,297,900,900,215,220,840,
587,109,851,236,577,906,038,109,611,722,925,442,021,144,497,792,539,275,153,
787,971,504,364,835,756,088,602,049,227,883,065,390,528,721,077,191,048,644,
704,461,676,353,738,736,495,020,587,353,688,298,030,224,749,615,993,380,044,
487,031,757,948,186,479,322,671,045,720,210,699,859,311,848,777,257,670,907,
596,363,569,721,404,670,866,276,763,152,989,384,220,274,464,056,123,325,071,
923,179,321,479,593,950,261,624,765,881,783,643,542,937,999,267,031,176,753,
104,107,922,902,475,933,368,279,837,847,902,848,799,865,933,008,899,160,655,
395,115,196,512,159,751,284,062,509,169,239,225,679,307,823,504,705,529,621,
964,626,252,272,406,240,032,674,126,967,171,522,007,880,260,240,971,357,806,
368,558,772,395,820,661,045,943,066,327,338,894,069,456,891,760,382,048,046,
401,237,232,795,977,261,577,295,798,340,530,697,672,832,230,161,917,818,261,
977,677,109,703,144,129,650,615,538,277,386,203,745,859,533,010,227,796,751,
606,701,526,158,443,473,443,477,250,274,707,729,154,994,056,419,859,761,461,
609,369,518,324,055,558,358,019,562,254,389,227,937,902,371,517,009,923,045,
646,105,601,944,198,753,052,963,262,169,165,985,844,053,486,573,026,634,018,
423,960,553,220,058,280,554,899,698,586,933,808,656,025,658,473,652,105,026,
836,788,138,471,659,345,705,610,598,928,754,649,764,919,668,152,154,908,040,
710,960,705,941,462,173,335,521,454,683,497,695,642,350,002,298,610,126,332,
744,078,937,350,393,889,039,033,526,729,490,439,424,864,204,676,432,633,013,
722,886,556,319,190,699,575,252,470,814,106,926,864,984,942,519,211,630,139,
613,190,705,308,195,383,975,823,865,847,086,875,625,765,457,007,684,799,872,
618,050,819,714,328,132,722,162,850,689,998,048,232,583,466,958,325,012,607,
776,841,965,518,596,027,221,394,867,775,119,431,502,313,783,407,852,779,763,
976,272,415,636,429,827,236,200,536,978,009,168,891,058,497,698,118,589,232,
210,887,787,408,382,504,705,980,506,958,866,968,742,035,942,849,425,880,431,
887,211,666,750,665,967,914,039,354,594,887,797,653,557,172,919,538,515,249,
008,033,769,739,510,212,802,941,667,378,303,506,737,849,361,789,198,279,720,
417,235,482,031,444,603,479,337,882,195,803,420,217,916,872,177,554,363,690,
716,933,296,453,690,464,896,158,264,840,973,372,838,169,664,923,673,254,510,
529,790,948,070,585,967,068,104,625,851,558,574,716,364,014,265,114,985,757,
043,144,054,337,175,078,753,106,980,307,296,143,393,894,864,766,957,711,261,
310,233,274,424,693,613,704,961,808,409,137,827,984,858,022,972,744,892,160,
153,075,746,063,669,391,210,861,426,073,054,635,412,793,868,997,449,928,634,
430,578,105,614,586,911,922,735,104,720,298,491,872,209,376,216,387,120,884,
126,591,488,651,797,613,404,771,467,171,238,839,112,578,882,277,211,536,752,
653,520,595,487,460,230,072,945,250,357,274,893,502,279,014,461,968,275,898,
965,702,698,481,467,412,551,434,479,391,632,253,640,462,036,881,902,296,202,
270,437,154,157,402,174,980,622,416,605,959,879,303,792,940,650,021,914,961,
871,715,414,218,585,977,580,976,551,739,483,751,803,527,891,447,589,319,677,
929,766,226,912,409,364,701,055,729,391,542,363,219,310,638,166,843,353,382,
752,694,829,181,420,753,688,223,467,609,914,457,123,300,365,382,247,678,045,
376,252,293,154,605,743,074,200,111,825,965,673,522,877,723,292,610,240,614,
898,495,313,168,565,431,422,994,590,674,036,778,164,739,746,797,550,229,369,
451,721,306,408,323,636,586,826,839,346,008,749,098,665,487,232,760,448,418,
880,884,617,664,556,392,248,890,227,210,765,786,399,645,304,476,185,721,222,
149,303,171,485,236,218,361,716,465,641,780,008,874,766,323,825,583,994,219,
371,119,304,160,598,046,437,199,561,684,883,880,424,214,384,956,958,081,920,
871,787,059,833,086,326,691,667,063,700,764,330,328,440,758,348,153,230,638,
769,668,554,025,960,830,796,327,360,093,875,047,768,535,249,082,927,187,691,
651,937,865,541,402,297,620,378,090,751,722,704,047,651,940,286,870,456,150,
959,850,114,751,462,884,488,212,652,802,554,818,436,927,363,207,615,663,409,
818,735,734,417,007,791,992,986,004,208,324,579,969,156,469,387,734,026,422,
114,887,294,866,952,679,309,938,585,472,633,462,426,822,252,455,812,032,807,
535,149,272,977,348,387,817,314,448,229,729,488,512,340,993,280,262,873,714,
153,817,101,248,443,627,109,679,406,639,113,946,092,506,221,266,533,618,598,
463,173,852,423,476,210,939,392,596,613,300,530,221,383,476,386,679,578,514,
516,371,316,175,564,004,140,009,475,592,615,806,480,386,458,529,382,427,650,
437,392,800,109,531,325,958,539,765,329,391,437,622,411,395,676,173,892,138,
890,545,223,714,672,545,664,009,271,649,218,189,828,617,069,412,969,769,549,
389,475,955,399,270,695,709,797,840,142,882,631,365,855,067,801,289,813,703,
696,733,449,556,411,154,592,841,021,998,330,398,962,381,625,677,756,719,554,
496,559,731,088,149,719,338,648,584,367,094,871,771,294,658,377,399,205,694,
216,270,625,695,165,451,574,925,304,874,113,513,811,915,677,523,119,522,319,
190,371,451,317,089,858,595,531,593,204,732,234,511,159,202,733,376,115,423,
763,539,549,192,154,778,959,787,900,921,165,396,645,885,165,755,375,903,133,
055,610,930,560,319,991,266,894,009,348,623,009,355,382,596,856,344,379,653,
673,755,534,419,283,412,085,065,602,283,205,269,340,007,832,093,457,200,569,
478,458,240,901,575,617,826,236,683,066,780,838,799,979,770,901,539,459,935,
965,224,071,105,916,141,987,744,686,881,959,202,738,115,299,041,246,423,979,
476,468,790,298,265,182,301,690,868,144,564,561,305,855,073,094,995,399,199,
407,267,307,330,843,270,677,335,771,878,715,637,981,128,996,045,321,522,826,
494,937,428,152,251,136,220,296,609,554,265,710,750,909,592,347,251,750,061,
868,862,495,260,985,631,851,619,291,202,027,422,587,750,445,561,342,603,268,
329,768,546,853,926,493,568,043,644,563,004,926,347,393,883,306,083,815,066,
726,057,636,871,690,070,373,589,171,711,655,613,060,918,111,444,094,841,996,
349,773,986,477,687,093,686,938,194,446,629,169,342,321,544,540,545,192,918,
619,128,125,434,430,690,291,686,150,674,811,195,844,513,334,083,498,540,931,
426,677,139,738,713,401,181,223,460,320,487,513,662,874,064,450,020,556,872,
999,458,183,871,330,519,390,742,155,723,554,621,879,149,901,119,511,361,615,
984,202,340,966,445,421,527,544,478,070,038,805,299,738,416,836,522,225,791,
800,502,529,086,417,537,484,524,142,514,241,193,941,483,882,955,165,809,345,
066,808,776,022,260,522,831,061,881,063,486,347,397,444,297,328,628,406,372,
436,812,800,842,127,488,890,681,702,474,234,246,753,143,886,229,744,617,114,
442,923,505,846,862,790,068,594,259,542,783,677,367,667,723,781,180,761,950,
681,366,217,955,606,770,412,582,780,969,495,706,635,484,859,587,331,002,258,
137,098,437,766,647,426,846,955,050,053,718,306,759,825,398,055,520,297,828,
069,891,777,561,704,899,972,254,673,952,365,414,050,117,203,903,961,755,395,
594,327,919,076,440,387,493,330,470,670,487,453,925,477,780,211,628,897,857,
298,485,049,114,918,922,137,685,033,636,403,974,143,111,574,622,049,128,859,
479,338,339,138,781,062,634,784,091,022,109,058,991,006,152,487,335,505,829,
281,051,748,340,792,896,077,017,569,425,510,342,907,369,189,232,880,392,774,
859,461,641,081,246,374,694,133,792,974,428,768,146,569,291,037,327,338,074,
353,078,859,818,531,471,603,983,637,803,398,410,900,128,482,358,839,779,965,
921,512,543,619,213,143,580,749,192,914,085,104,772,404,244,922,278,888,060,
912,275,971,473,879,215,486,902,756,803,195,389,321,982,577,320,855,676,041,
028,680,524,740,681,330,000,494,670,002,344,785,938,129,247,806,034,087,260,
068,603,320,089,813,143,711,337,642,780,933,325,832,633,750,243,234,208,155,
917,721,976,016,829,836,768,290,821,807,196,218,335,296,968,308,070,568,035,
724,058,641,874,236,505,106,550,190,117,306,733,961,480,270,594,106,485,974,
579,249,497,665,858,995,677,340,226,958,731,523,912,225,224,985,519,209,332,
107,714,199,912,509,893,597,257,760,579,995,892,240,105,406,235,633,375,537,
458,385,709,375,428,568,443,826,862,797,030,241,699,632,882,923,300,798,286,
021,033,572,222,796,416,195,322,852,626,659,500,673,541,473,828,446,805,882,
285,269,704,256,242,565,700,034,390,961,655,938,037,943,452,700,238,511,888,
618,106,317,968,167,078,430,700,099,873,185,057,324,379,629,082,559,006,700,
535,368,621,734,922,653,820,229,715,085,254,928,115,874,471,090,619,909,462,
479,537,467,462,477,861,886,556,823,709,506,858,026,048,573,141,870,255,601,
923,825,576,386,620,354,622,131,358,879,350,129,497,360,645,713,166,236,355,
871,964,115,680,867,382,590,114,488,622,682,986,728,261,289,801,353,882,039,
503,716,233,023,969,561,831,174,450,179,808,272,527,965,571,518,293,229,168,
994,120,224,907,722,291,192,216,633,492,723,474,976,915,017,730,428,704,285,
994,538,728,605,846,640,486,860,288,749,463,095,393,363,319,947,042,131,286,
521,467,017,487,869,351,119,351,463,215,327,917,535,764,681,425,986,002,562,
282,988,014,961,454,441,906,693,666,954,147,528,770,884,470,529,921,078,706,
670,135,505,814,535,164,607,404,900,439,089,268,798,383,150,883,946,171,763,
001,560,995,384,452,648,877,046,046,855,329,016,280,818,187,166,136,317,840,
550,212,219,655,694,058,481,532,323,022,257,152,110,544,311,736,908,281,637,
492,133,678,896,787,143,231,569,136,761,753,820,231,293,413,387,862,186,983,
233,545,981,633,063,592,383,038,230,742,110,549,546,285,655,740,024,142,231,
219,188,097,410,760,617,011,734,420,852,079,582,078,569,546,221,994,578,172,
701,691,339,532,339,627,415,791,705,819,008,060,831,326,923,267,944,491,514,
730,080,416,342,824,015,112,686,231,859,278,996,736,318,784,754,429,293,978,
944,110,848,806,930,031,873,218,280,773,941,167,492,232,164,881,632,061,076,
782,611,757,033,379,872,607,406,821,249,466,031,883,915,464,404,819,998,149,
304,897,018,050,879,069,268,377,026,127,852,505,171,918,067,441,640,006,478,
268,584,411,254,435,274,791,892,836,884,958,500,478,472,346,035,329,804,524,
405,361,925,929,062,519,924,345,175,110,379,590,512,040,450,495,064,575,042,
880,494,611,489,846,227,670,825,416,730,333,570,902,949,923,417,481,320,471,
212,336,989,679,115,079,502,247,135,405,699,389,688,358,925,623,983,912,353,
303,615,541,586,442,936,969,123,239,881,786,634,887,292,051,893,293,374,685,
850,467,833,672,385,352,673,483,451,787,765,193,331,644,523,083,009,857,620,
446,296,839,753,155,993,258,882,700,273,907,722,776,804,330,994,201,311,417,
412,706,939,741,074,836,121,768,642,677,536,969,999,140,976,773,656,639,172,
006,281,864,433,961,917,069,951,629,079,332,581,638,337,323,304,530,180,776,
979,787,495,883,001,375,190,126,895,882,648,450,518,938,145,392,845,468,699,
785,425,994,276,798,378,399,761,517,796,246,047,582,484,104,754,134,872,485,
622,901,460,483,616,825,144,080,535,471,359,616,549,182,922,310,379,410,241,
614,260,658,283,957,777,568,996,923,863,171,562,392,135,772,470,822,434,659,
008,210,146,833,867,517,263,042,467,021,225,521,997,703,324,397,009,635,415,
688,384,989,819,758,454,054,813,565,069,327,171,361,077,683,536,367,519,770,
725,317,658,372,179,794,297,928,354,558,403,546,183,983,601,099,978,133,403,
384,296,444,738,072,930,794,891,609,039,469,149,904,784,007,879,044,003,590,
755,185,630,816,523,051,381,152,464,155,687,170,846,116,937,524,602,091,466,
675,989,942,736,972,718,334,377,827,938,579,469,139,417,435,384,170,699,402,
342,522,307,233,300,316,761,145,022,638,661,398,633,071,411,229,213,612,154,
101,658,151,612,209,595,325,763,753,116,116,241,289,626,461,633,813,355,690,
261,557,058,802,494,667,153,324,544,298,684,050,795,951,453,200,411,717,361,
987,006,148,481,756,287,043,674,242,145,266,467,811,054,562,701,709,709,551,
639,128,528,839,398,583,833,376,857,093,075,409,116,499,061,124,476,980,610,
286,048,094,798,800,896,862,736,139,031,307,183,091,936,905,351,574,151,544,
848,148,781,156,487,037,760,841,570,766,302,039,017,113,281,995,698,178,615,
474,271,909,158,500,227,752,275,180,117,207,386,236,203,693,558,720,588,964,
692,832,372,593,961,494,431,786,310,549,048,591,145,108,442,816,758,059,018,
092,105,426,905,299,489,662,003,288,950,933,732,724,482,274,447,512,433,613,
338,372,225,558,389,619,781,888,815,809,314,044,452,309,827,465,806,389,218,
961,691,517,247,245,375,027,729,688,132,111,115,354,909,957,518,924,643,163,
746,861,152,162,621,365,487,683,888,770,745,683,709,460,820,589,246,261,053,
819,601,625,552,236,656,710,936,489,349,965,048,390,474,743,201,568,105,653,
883,576,261,981,430,238,436,440,362,432,069,437,727,228,979,858,282,896,920,
585,600,305,941,275,131,167,125,653,174,131,147,897,317,362,728,652,905,846,
624,993,899,491,575,827,219,468,747,279,495,116,971,851,361,571,965,444,432,
479,852,657,302,259,600,395,999,205,744,413,417,873,120,888,913,164,896,647,
229,892,898,771,735,828,537,395,788,796,973,955,376,432,136,794,363,678,602,
758,359,876,354,153,798,233,925,608,374,989,774,662,246,940,658,504,074,717,
591,539,571,480,743,683,032,264,359,369,335,692,851,737,362,954,576,861,569,
946,943,536,980,663,598,466,497,313,259,837,124,162,571,533,507,057,392,464,
131,704,037,832,380,886,394,107,534,407,143,141,104,104,027,691,259,077,590,
035,421,015,850,857,948,064,451,580,722,178,955,293,728,119,771,578,976,297,
042,848,000,287,064,043,934,165,401,014,023,199,686,730,853,828,433,003,308,
751,159,832,474,668,782,496,312,523,619,965,154,989,176,407,393,404,349,150,
888,201,989,067,775,417,242,977,567,162,495,683,754,857,560,903,926,637,825,
358,368,902,067,036,128,598,752,442,787,119,038,012,223,071,599,752,648,387,
095,767,832,211,982,576,888,272,823,533,680,502,445,782,716,733,233,006,319,
645,954,539,964,790,859,451,355,413,019,411,840,259,037,166,719,058,513,684,
060,018,428,290,245,603,372,174,187,362,724,811,802,819,452,279,402,026,455,
550,346,994,276,655,625,103,456,002,542,008,324,939,456,922,308,827,554,054,
951,944,411,290,662,028,003,912,882,014,499,386,515,594,811,777,400,392,048,
988,220,068,431,469,332,873,161,344,154,310,507,882,758,556,739,286,878,525,
155,407,165,379,913,345,957,910,561,903,924,348,936,470,311,546,838,017,308,
792,454,793,825,512,709,530,535,241,421,348,956,410,252,864,413,892,900,940,
638,121,189,063,089,961,580,717,895,365,295,586,712,065,109,234,233,165,675,
706,554,595,054,703,305,826,357,631,477,999,320,418,652,340,752,848,774,763,
483,310,702,475,771,940,513,548,309,600,569,675,032,748,323,268,961,715,413,
782,856,263,105,629,972,193,186,089,517,243,908,294,270,243,878,245,653,220,
661,799,850,304,399,878,462,619,739,950,667,254,867,186,834,464,410,435,357,
542,961,001,844,250,059,097,883,634,013,353,471,964,644,983,141,143,063,033,
862,850,256,211,501,787,179,218,235,383,219,557,674,990,133,390,336,888,279,
762,413,849,219,706,064,863,097,773,248,815,648,161,185,974,324,227,167,808,
639,708,261,329,829,204,826,399,885,215,071,571,841,859,623,806,472,835,251,
836,830,426,230,352,197,141,986,154,572,437,065,695,653,452,136,632,348,166,
440,653,460,662,402,626,024,489,603,638,275,973,522,585,963,210,601,144,297,
595,007,119,125,126,918,743,260,205,388,431,073,316,768,228,994,335,500,306,
741,058,114,738,302,348,511,588,062,856,941,451,634,472,459,219,127,063,722,
633,088,068,065,954,021,313,937,124,576,607,281,515,336,101,776,262,588,471,
008,335,357,369,625,328,177,249,979,935,351,328,631,127,979,912,400,455,920,
865,564,162,600,159,432,497,096,166,045,377,681,019,847,781,929,916,920,709,
619,977,551,667,485,762,494,173,312,985,351,126,507,887,433,507,761,269,888,
398,786,424,053,765,437,117,389,572,262,554,832,948,549,444,730,392,641,831,
826,860,713,727,793,234,124,915,099,225,768,159,217,680,110,832,906,795,069,
163,686,917,959,187,846,465,656,706,448,016,100,272,220,070,806,861,392,792,
143,892,362,212,803,555,917,889,087,711,744,816,161,983,969,351,892,122,552,
943,493,962,741,349,528,440,894,676,288,092,782,786,295,519,676,652,198,808,
757,381,356,419,675,504,625,591,617,337,310,954,060,462,518,078,334,225,678,
683,637,576,202,911,128,994,536,771,793,009,957,860,712,794,321,480,842,862,
689,876,044,729,756,544,648,196,284,921,137,255,083,042,869,698,349,742,982,
863,114,984,888,849,907,960,123,366,201,616,667,703,237,056,890,266,700,135,
470,748,356,924,636,316,771,263,519,857,605,695,809,388,228,928,765,423,296,
335,112,679,476,366,110,746,040,850,039,673,240,798,009,722,045,169,754,411,
642,508,508,529,493,826,836,721,410,745,495,126,245,465,791,637,093,252,634,
516,733,737,614,574,979,592,720,797,520,446,395,484,040,391,661,844,925,294,
947,227,344,458,536,550,496,824,266,420,626,307,054,909,619,898,448,600,112,
586,866,394,084,300,237,385,932,125,130,427,317,802,408,841,708,582,648,868,
854,776,737,380,104,537,096,246,921,292,309,831,486,634,355,161,974,704,654,
205,049,600,485,442,547,436,155,500,103,240,444,682,505,455,640,430,508,968,
351,126,673,789,201,631,086,195,800,181,866,387,794,405,691,601,355,761,009,
309,016,759,588,396,596,885,647,183,939,734,935,009,406,828,692,510,996,805,
885,541,567,452,028,692,814,901,434,333,954,068,365,527,857,504,740,487,508,
037,251,857,484,581,814,387,503,102,487,605,304,538,165,872,298,813,270,124,
121,290,798,704,938,691,245,084,415,670,842,540,594,969,932,310,135,504,168,
216,359,608,016,372,394,700,865,217,515,372,530,891,457,553,750,119,971,709,
981,701,624,945,397,991,094,064,642,468,588,381,559,479,672,989,360,260,876,
760,375,773,450,901,183,639,732,792,858,525,597,406,777,258,095,482,747,754,
433,273,974,382,844,920,390,235,108,040,163,962,807,167,231,823,800,803,578,
895,762,426,660,185,272,194,420,065,082,558,421,469,617,139,379,709,088,955,
295,761,277,617,571,660,818,973,466,426,191,612,416,814,332,549,391,851,551,
656,825,133,351,386,375,678,910,773,672,298,252,816,587,116,244,893,076,109,
615,765,657,406,992,694,735,310,461,063,210,496,068,524,087,637,906,996,394,
566,342,270,863,131,048,627,321,835,563,721,611,377,086,883,123,615,621,750,
345,485,192,688,472,613,844,888,586,190,837,064,830,879,276,677,811,337,525,
927,779,278,582,170,636,960,981,892,524,468,148,044,252,670,227,631,129,604,
516,123,080,205,947,956,946,304,470,994,318,243,613,688,420,578,874,864,339,
431,660,014,560,449,598,269,466,369,079,780,433,423,720,037,449,776,230,495,
331,821,969,436,419,378,172,595,343,782,151,105,563,910,161,829,556,190,248,
474,580,752,617,819,811,163,195,349,703,637,205,905,666,769,622,313,529,023,
516,222,154,182,753,000,531,209,822,792,026,618,934,867,950,678,480,968,399,
910,180,919,066,167,025,650,301,705,521,971,091,649,955,502,903,003,537,882,
848,446,080,511,596,432,180,495,314,700,906,219,570,565,918,551,172,681,674,
159,830,951,191,109,549,737,873,701,433,695,826,212,837,230,338,646,859,995,
464,660,487,870,137,703,849,435,520,091,455,874,864,415,866,617,922,657,344,
798,654,738,587,516,057,148,381,038,902,702,391,132,319,983,640,140,631,534,
027,922,883,534,310,268,164,735,062,068,795,812,949,490,366,947,965,476,190,
105,144,723,588,291,121,655,915,772,596,506,462,007,509,771,618,781,820,255,
127,287,141,567,968,526,493,049,225,583,733,921,247,551,792,401,594,027,491,
786,887,152,303,632,943,901,277,998,224,249,440,251,173,581,945,457,954,020,
814,708,669,830,326,739,251,909,051,578,067,601,680,140,064,606,623,524,388,
975,834,470,592,958,213,283,060,408,287,742,125,149,625,376,663,377,276,729,
872,676,641,595,394,968,256,882,196,217,606,996,096,656,689,284,115,496,748,
672,745,984,345,383,745,394,590,117,221,609,209,167,947,138,660,170,444,937,
531,400,792,069,524,775,110,869,929,604,630,554,243,945,741,931,622,679,274,
042,135,186,734,780,974,609,741,724,558,318,901,658,903,079,162,556,798,326,
525,243,550,140,739,392,315,538,482,246,601,730,891,699,057,921,836,399,979,
241,344,004,636,634,480,010,079,323,016,825,563,559,876,807,149,400,788,186,
021,855,296,155,724,333,556,320,640,500,994,560,437,705,664,810,333,655,646,
093,555,383,590,852,666,479,915,123,498,717,194,864,105,433,547,574,448,868,
441,058,598,690,600,173,217,818,880,838,277,541,325,722,799,582,213,864,043,
446,740,619,338,736,300,713,450,298,027,440,241,645,277,389,147,490,289,333,
668,946,854,853,789,033,152,084,494,480,616,933,462,177,751,412,754,802,936,
558,051,851,777,640,269,625,347,253,099,451,914,737,286,547,512,705,901,243,
346,779,916,675,779,938,163,033,119,392,410,806,876,537,732,015,169,741,975,
909,435,256,045,032,017,495,580,767,170,457,105,027,525,886,204,859,769,743,
983,595,124,095,211,061,597,828,516,600,661,560,714,445,675,286,839,320,208,
457,557,280,843,997,850,840,780,151,143,671,023,029,799,420,335,263,648,019,
351,770,418,709,796,360,575,987,663,811,557,194,382,301,325,985,282,372,694,
627,224,886,035,209,463,353,087,393,939,518,803,571,796,553,034,988,001,509,
834,195,851,571,563,150,884,633,704,211,529,011,904,648,975,704,712,960,041,
620,612,027,975,555,661,230,302,497,346,244,616,817,775,517,278,756,375,443,
514,048,182,155,707,532,499,075,047,432,859,540,393,667,073,476,212,705,277,
473,029,362,554,038,428,647,422,747,225,113,357,410,803,615,466,211,157,615,
024,655,168,419,213,150,724,615,298,804,913,695,237,110,564,679,762,106,174,
589,430,832,972,531,741,494,739,066,127,474,315,944,960,102,206,432,440,987,
867,068,883,506,242,510,984,221,575,638,080,547,329,482,723,187,259,787,764,
607,358,089,574,191,150,763,317,583,143,941,774,805,371,252,059,256,806,556,
889,842,081,696,774,879,011,541,051,911,180,063,696,720,851,194,584,762,094,
516,151,478,378,425,225,127,502,805,542,756,617,385,467,776,014,452,157,885,
838,701,127,456,124,680,477,901,438,880,687,810,118,851,592,440,987,265,406,
554,865,605,209,731,946,668,526,584,742,459,037,676,208,095,007,329,308,762,
495,947,185,024,428,657,770,878,224,938,359,646,848,640,232,332,342,033,713,
288,874,557,924,654,383,328,916,288,704,369,642,960,655,719,312,121,354,306,
945,070,857,793,121,050,778,073,447,425,211,169,424,512,881,857,694,358,542,
467,720,850,420,349,579,357,850,908,953,732,519,349,051,376,647,806,190,880,
708,821,223,084,778,987,581,469,630,100,729,746,559,097,528,265,098,197,824,
094,047,011,900,895,855,118,499,679,042,047,338,824,933,845,780,594,254,003,
847,558,572,892,269,251,589,776,613,808,284,951,450,972,670,215,715,768,274,
352,790,659,721,417,144,007,596,527,659,492,717,062,750,957,387,486,445,327,
485,420,766,520,318,031,261,762,158,111,584,104,370,238,511,833,512,556,516,
523,191,236,594,754,364,204,940,381,211,944,363,417,037,626,209,342,705,451,
469,959,779,869,364,758,873,040,937,447,138,994,386,953,271,432,528,707,206,
490,813,387,032,364,305,935,276,721,974,259,528,407,385,458,117,173,020,305,
274,911,708,090,802,724,133,166,423,601,575,128,218,062,123,946,267,983,225,
295,178,573,002,289,466,561,046,083,420,401,789,330,474,463,151,243,425,982,
494,320,332,105,060,085,037,413,493,729,868,110,001,505,210,339,277,074,217,
099,553,582,060,926,551,046,858,891,114,499,638,795,924,380,959,169,198,620,
941,896,784,913,332,763,954,581,874,292,519,332,527,690,276,777,990,071,814,
875,491,298,807,409,341,457,613,838,377,385,961,543,490,823,651,761,558,658,
252,639,187,582,919,516,312,245,103,785,245,014,923,915,732,677,036,239,650,
947,787,302,188,408,458,340,866,630,743,284,457,545,328,170,014,023,086,471,
325,164,440,899,905,904,179,176,836,574,561,894,143,851,010,539,117,115,626,
845,500,823,096,358,845,770,498,100,194,362,390,776,224,763,701,611,052,372,
636,509,860,243,818,961,039,938,930,945,446,592,120,999,966,476,127,537,552,
467,743,136,735,752,267,686,547,100,605,422,293,088,447,811,038,671,486,029,
096,910,926,714,215,494,643,701,689,495,886,405,636,044,080,345,216,889,041,
203,936,817,486,657,878,788,123,051,809,228,121,148,071,315,995,307,121,637,
527,763,638,407,093,143,720,780,640,215,417,194,774,776,276,868,849,878,677,
876,329,907,941,895,785,842,372,735,339,268,029,415,568,491,433,730,882,935,
030,000,518,228,769,659,486,730,244,873,761,515,662,066,834,567,440,364,800,
197,706,629,316,348,522,913,553,358,836,697,051,148,086,716,379,793,485,869,
082,329,582,495,732,330,434,838,310,565,991,786,811,289,276,151,540,246,928,
437,651,551,171,187,536,098,099,434,151,702,014,256,180,065,437,401,711,752,
373,992,141,842,142,006,138,255,779,312,796,246,420,259,175,448,985,623,558,
762,992,898,716,751,916,849,227,189,296,450,421,887,053,533,091,996,819,942,
542,248,981,677,241,084,023,433,537,305,750,255,788,424,346,609,816,175,461,
058,111,365,235,489,446,263,246,719,515,725,698,843,833,487,151,643,648,467,
410,692,374,883,828,754,439,065,984,460,667,948,842,320,106,609,633,762,153,
028,511,323,182,234,486,858,234,723,694,505,144,637,229,765,595,561,903,382,
181,887,508,276,747,278,709,104,413,700,232,316,129,331,321,842,300,257,435,
450,580,654,537,953,510,963,832,528,468,898,538,479,892,515,664,604,900,942,
973,628,880,923,703,241,661,068,266,048,520,992,893,022,513,693,703,649,626,
699,558,612,162,801,544,046,138,803,621,690,444,701,845,205,255,982,345,980,
404,693,978,206,673,735,481,433,673,090,739,102,344,049,918,255,322,772,692,
041,183,364,165,258,609,009,971,910,448,884,596,011,707,830,150,715,259,928,
116,827,590,495,337,717,470,964,823,355,025,731,926,622,374,754,479,063,789,
904,474,025,655,631,388,433,434,824,703,426,791,565,832,386,653,118,325,417,
086,845,376,365,651,527,484,070,056,348,997,384,256,624,467,463,928,027,054,
258,787,269,178,536,990,394,733,320,074,828,588,453,748,272,958,471,170,819,
635,185,705,324,203,627,414,708,665,242,267,910,572,980,516,093,778,394,547,
670,252,958,181,957,212,228,336,652,440,087,357,052,844,818,940,580,936,143,
678,607,163,877,143,119,244,948,624,019,668,572,123,523,810,330,901,123,500,
599,175,846,137,653,374,747,747,211,811,246,380,813,941,323,216,542,297,749,
843,360,395,849,884,213,137,098,464,662,593,386,258,409,584,346,369,677,642,
710,149,429,962,901,302,216,583,509,793,589,076,572,967,777,693,775,060,424,
158,305,533,813,679,796,172,324,838,722,519,966,847,375,378,145,678,413,020,
643,019,959,513,628,995,018,591,577,248,008,548,283,749,453,587,426,432,209,
712,734,354,035,191,838,310,906,006,833,199,301,549,779,987,839,909,027,499,
454,224,212,151,152,247,875,482,438,676,068,347,838,273,252,838,040,535,075,
228,532,004,089,979,824,299,966,484,476,311,142,342,383,043,287,343,697,176,
657,533,225,064,404,016,318,794,654,503,113,216,019,559,341,102,564,806,195,
993,920,201,661,983,888,267,321,341,200,305,588,978,883,086,656,027,741,922,
995,965,151,008,099,341,828,826,654,803,746,941,902,265,580,209,521,513,643,
416,415,372,405,023,529,503,347,187,519,620,872,108,690,792,301,704,187,078,
070,018,181,477,271,503,394,694,687,284,268,451,585,532,492,397,101,397,390,
523,388,837,412,859,114,301,301,995,410,034,417,820,751,508,469,697,054,107,
702,666,444,776,856,118,458,820,267,856,140,578,798,774,943,061,321,470,001,
094,486,577,544,778,190,388,104,586,061,868,751,731,703,608,075,718,171,374,
584,552,899,163,365,213,782,911,498,862,634,287,552,621,605,649,934,564,994,
649,480,489,981,807,417,296,410,731,021,314,321,656,364,177,786,718,467,104,
386,378,145,434,051,492,921,447,380,862,291,386,515,017,208,393,620,974,126,
772,295,282,935,658,007,797,615,420,215,303,485,973,679,143,757,786,259,073,
623,307,776,482,789,069,626,322,286,440,251,847,557,658,041,757,438,208,935,
305,669,648,455,714,222,179,674,507,995,183,412,813,456,924,685,940,997,634,
919,844,535,185,133,047,713,694,233,018,422,765,152,549,675,355,528,536,100,
779,608,805,293,106,270,799,118,044,760,744,477,537,454,437,803,611,496,349,
055,895,434,875,538,739,128,882,821,985,483,999,144,524,404,797,117,646,415,
868,618,718,993,480,726,528,592,913,179,815,922,090,620,865,648,908,762,386,
464,175,743,744,450,905,730,554,605,572,502,726,662,397,064,205,301,214,704,
488,646,753,654,137,672,177,384,952,524,203,829,903,714,592,491,657,424,589,
521,875,193,180,956,472,545,770,920,906,310,801,810,881,017,821,474,503,900,
517,194,292,663,250,042,010,708,725,612,631,106,107,378,379,595,480,403,798,
995,111,934,135,233,069,472,363,889,241,804,906,820,015,455,309,634,093,323,
163,109,739,455,004,633,899,841,863,413,069,853,911,064,662,925,332,755,655,
342,899,438,942,566,184,384,735,643,683,983,794,837,444,153,171,541,374,765,
052,490,437,117,443,659,249,975,854,137,351,712,754,855,917,099,154,056,814,
227,330,913,250,062,348,306,409,080,503,152,576,743,937,887,432,981,807,616,
757,942,825,137,871,521,418,043,680,645,216,677,353,614,995,390,438,874,778,
592,889,977,100,887,476,258,912,517,656,280,091,126,387,881,807,168,346,984,
050,006,494,656,460,607,225,936,333,694,435,362,690,733,924,467,385,352,241,
543,395,920,248,738,377,224,190,248,759,223,750,072,525,780,763,018,393,351,
026,540,142,969,161,610,313,987,779,435,292,971,436,735,062,014,280,008,337,
190,993,490,020,672,210,406,674,223,605,626,795,060,134,671,218,625,085,556,
763,414,954,880,621,680,305,171,124,643,964,261,679,171,306,306,235,232,348,
526,711,504,165,461,970,922,179,717,589,561,920,834,500,023,907,766,549,214,
886,623,208,568,806,342,232,414,340,073,199,631,600,637,756,074,256,839,606,
759,309,228,613,438,872,866,827,810,059,050,959,115,836,870,854,428,218,426,
817,270,962,578,125,491,092,857,341,991,028,263,646,848,013,541,663,390,676,
598,370,981,360,755,895,900,555,232,388,282,698,668,921,520,683,882,606,323,
191,056,237,718,011,464,707,799,679,732,890,509,474,307,050,573,511,585,166,
776,017,191,420,970,173,465,622,044,811,806,902,612,400,004,453,609,608,400,
127,670,062,742,299,982,526,200,543,042,537,628,616,948,916,028,898,499,754,
996,454,461,789,453,774,234,365,930,311,528,862,904,267,976,974,101,566,387,
591,270,170,287,296,810,747,554,190,614,274,675,400,384,105,804,212,254,091,
531,496,564,384,337,707,028,250,626,477,147,635,346,958,886,486,134,604,885,
730,270,777,300,336,589,497,755,509,593,473,129,262,742,903,961,896,891,246,
456,701,147,233,349,317,550,987,606,275,379,823,760,461,419,008,437,163,661,
402,002,795,884,854,115,229,864,240,167,794,525,722,476,984,218,869,169,119,
145,585,267,880,363,769,137,259,505,794,152,371,598,278,812,327,890,562,717,
022,791,109,990,128,548,490,940,028,070,689,135,478,361,617,268,236,915,071,
869,809,044,836,468,500,183,524,997,665,289,578,401,953,792,226,029,879,267,
115,597,147,137,236,093,387,238,834,619,466,385,666,674,212,090,832,124,948,
942,985,694,937,350,218,054,038,927,822,349,528,301,123,803,084,023,690,590,
464,714,440,711,362,109,629,197,870,343,159,011,009,644,218,770,396,374,885,
879,316,380,279,759,786,486,983,113,497,502,533,653,216,811,024,237,219,043,
598,529,225,879,548,066,651,506,518,645,093,815,295,579,964,315,250,571,420,
692,677,505,271,049,216,498,638,011,348,832,410,723,778,470,815,528,612,625,
332,352,720,372,405,177,421,608,375,093,140,384,536,454,433,074,935,243,833,
951,762,341,108,187,652,167,573,687,007,075,646,646,471,128,549,385,183,394,
856,439,753,612,331,281,132,841,934,872,481,879,362,692,356,340,158,325,886,
112,553,611,409,180,061,542,052,652,668,747,347,360,048,534,947,320,779,607,
820,599,806,134,500,494,474,236,141,346,893,761,918,577,001,210,926,199,892,
104,812,154,406,102,469,090,186,322,801,171,462,586,634,480,922,175,465,143,
283,745,759,986,699,221,868,192,561,869,232,467,117,863,317,096,916,517,897,
708,456,565,810,514,005,531,643,384,653,818,051,282,561,313,152,544,292,276,
939,756,804,641,388,572,790,075,702,139,328,049,211,446,219,970,392,170,121,
123,422,806,481,397,366,587,163,061,717,463,133,786,350,677,131,804,246,075,
831,952,723,220,673,612,560,449,218,027,055,830,101,160,097,000,722,605,128,
989,982,146,369,213,287,037,113,627,170,985,316,512,736,125,759,575,831,982,
205,134,557,930,128,108,564,520,145,056,321,353,048,533,347,081,180,823,220,
078,939,150,287,280,772,669,197,708,197,216,222,457,231,360,990,762,086,789,
095,457,979,938,512,126,623,645,784,926,601,050,836,520,325,189,952,777,933,
121,538,250,186,487,514,682,547,495,380,234,484,750,411,817,169,376,487,776,
098,526,793,823,558,955,350,109,212,812,632,179,569,206,327,720,675,920,881,
666,750,691,700,784,253,428,421,796,312,218,169,740,129,273,796,617,641,438,
932,300,879,439,765,900,925,037,655,212,302,359,251,108,873,398,472,392,626,
750,076,599,780,837,699,443,689,881,010,240,990,771,570,022,862,715,739,379,
604,880,522,958,370,779,773,894,390,948,170,765,538,550,197,738,092,531,217,
949,069,638,342,211,619,619,657,304,882,591,042,079,256,027,779,376,118,898,
071,261,681,750,756,705,106,872,087,297,584,610,106,708,040,585,572,243,776,
984,601,953,501,535,088,865,770,747,541,184,140,831,514,849,030,056,394,007,
605,870,437,316,335,994,171,996,291,897,845,262,099,512,111,715,552,309,676,
837,676,523,088,343,294,252,416,333,084,712,730,734,892,930,746,426,156,067,
249,386,554,938,610,735,980,088,777,398,455,358,930,236,933,818,116,136,050,
713,954,844,293,488,641,111,236,834,024,432,287,260,866,085,102,965,486,249,
769,938,130,080,333,387,706,566,437,136,580,153,248,300,918,780,847,125,513,
533,354,628,307,237,911,144,769,789,540,412,102,543,560,214,983,821,496,317,
046,686,310,640,187,877,146,207,508,348,994,690,401,401,921,425,190,027,920,
442,224,817,371,969,242,090,004,508,722,364,254,746,703,327,063,500,784,680,
060,460,520,333,957,346,186,216,412,429,557,774,890,658,056,269,220,004,773,
180,711,320,515,048,438,962,964,044,601,655,760,065,263,537,378,715,626,452,
202,436,168,156,532,986,630,050,790,549,465,834,805,889,725,460,532,241,206,
038,224,975,722,346,107,025,440,426,201,051,108,034,626,331,315,551,343,396,
061,658,627,284,448,534,411,832,613,102,239,273,806,099,535,784,310,113,671,
849,313,618,595,907,756,088,315,577,705,630,975,019,394,314,524,820,852,662,
358,705,417,181,901,679,045,218,153,546,063,435,971,952,319,715,384,012,087,
210,163,468,342,000,898,428,189,273,450,678,592,417,456,044,531,065,344,860,
611,999,653,902,879,314,096,062,348,745,319,592,595,488,506,130,083,265,801,
918,673,174,445,950,304,152,667,573,581,191,579,407,845,242,372,170,228,289,
872,190,550,895,707,912,131,258,355,998,885,005,930,639,242,088,815,081,840,
499,585,535,135,191,876,806,380,848,967,110,455,034,814,518,583,960,658,901,
621,918,553,344,849,465,467,856,020,602,581,297,675,065,053,716,989,392,707,
878,179,460,471,135,031,193,880,476,692,660,169,723,271,351,511,765,529,831,
674,847,816,588,084,018,148,966,579,664,083,178,700,461,751,095,470,124,776,
450,103,578,499,341,864,228,322,394,557,159,895,525,288,199,495,775,632,634,
950,350,151,502,082,462,695,621,781,647,377,182,441,758,052,242,414,207,977,
914,495,236,161,875,810,330,671,813,551,680,517,950,741,239,559,580,836,318,
093,892,821,336,750,517,363,789,742,116,247,493,464,984,954,175,630,031,177,
512,672,319,872,002,499,442,210,445,802,493,120,491,854,551,717,246,873,104,
503,389,683,958,961,127,661,455,393,986,972,909,439,087,369,434,028,696,308,
877,580,099,271,858,151,873,504,332,196,840,194,248,840,476,506,155,553,988,
697,072,770,554,201,827,964,015,887,627,509,774,910,971,881,672,818,785,991,
925,659,355,852,741,680,817,490,748,654,640,294,337,697,398,924,271,513,534,
821,186,665,563,146,882,899,874,514,773,346,000,054,696,424,955,942,536,082,
317,599,446,834,761,953,520,809,714,418,787,579,026,871,506,806,115,323,633,
045,635,609,577,221,968,914,989,630,068,229,177,816,377,141,243,376,918,671,
165,415,951,876,371,337,673,473,537,032,413,730,924,035,294,669,211,695,335,
332,610,090,092,146,867,206,324,197,969,551,134,042,782,403,755,687,937,810,
363,565,735,472,567,630,183,857,030,177,602,468,136,527,428,210,917,854,475,
831,176,024,019,239,476,242,276,318,798,004,339,045,221,530,598,214,154,659,
978,666,637,413,182,084,124,356,978,380,275,142,619,131,137,631,997,738,187,
773,640,124,226,239,582,038,760,217,443,808,667,490,114,282,344,033,440,949,
590,611,293,443,627,920,632,424,481,650,211,742,888,470,543,283,735,398,303,
701,946,434,958,360,989,382,010,594,470,309,964,644,773,261,727,104,500,846,
344,671,156,800,552,067,320,891,916,826,790,276,064,747,567,976,099,585,227,
031,189,200,611,508,342,081,567,390,382,603,496,346,374,246,450,800,753,706,
779,889,647,247,272,688,710,433,477,843,788,777,214,766,623,553,528,828,876,
003,835,006,594,102,189,769,529,075,410,056,537,973,029,415,669,134,066,414,
462,533,372,052,231,102,669,814,370,740,431,730,539,734,586,763,955,161,750,
699,033,291,475,827,661,431,162,391,232,397,018,347,521,826,002,393,504,221,
617,500,879,687,724,114,673,258,853,904,540,918,249,751,685,106,878,475,336,
658,496,643,530,146,257,811,535,565,750,051,467,469,185,008,960,303,727,439,
819,624,396,702,487,354,173,229,571,888,663,352,041,746,156,569,162,270,630,
418,686,236,977,791,809,912,614,592,801,385,610,246,783,035,424,719,557,732,
709,838,070,860,683,621,475,253,204,750,962,353,127,215,937,975,923,994,033,
843,760,828,921,984,347,429,235,631,427,641,989,692,091,397,961,848,778,423,
644,259,577,094,216,109,597,655,452,898,910,105,497,195,951,077,484,642,059,
768,096,517,996,646,360,377,477,464,195,934,448,051,207,008,284,923,430,546,
494,447,901,819,906,510,043,791,987,335,357,563,869,942,413,489,368,489,965,
214,764,241,975,013,761,374,263,772,493,369,305,310,312,751,660,841,592,927,
051,634,043,782,158,929,886,104,295,619,931,315,371,243,051,867,980,017,853,
257,963,684,342,554,564,079,991,997,030,926,725,309,127,542,007,790,084,615,
892,003,906,673,521,518,651,103,236,588,428,265,091,689,562,260,060,123,837,
113,817,766,143,628,750,705,780,274,742,254,346,627,617,917,813,247,917,519,
453,207,865,646,611,978,111,418,088,146,569,416,271,815,054,671,827,991,087,
297,840,316,495,598,279,805,926,907,535,886,371,522,348,038,398,615,866,513,
624,640,438,615,986,915,011,101,126,904,941,239,227,903,135,442,233,703,640,
155,009,838,012,432,549,753,740,353,348,689,056,416,214,209,763,665,661,829,
336,796,466,753,579,168,000,000,183,299,216,028,284,326,680,756,347,927,003,
720,297,384,411,520,133,299,395,671,421,894,448,635,931,302,264,039,270,664,
137,706,602,523,472,432,787,989,970,527,918,989,080,162,116,568,484,257,354,
555,195,148,663,768,833,118,765,620,680,714,326,199,039,680,115,819,225,982,
307,621,817,165,367,077,490,725,698,018,551,358,518,535,318,220,766,641,250,
727,540,400,849,833,653,141,320,575,034,897,924,550,021,314,542,902,240,446,
613,444,437,932,900,303,910,428,393,312,018,897,017,664,282,918,655,694,681,
898,887,915,343,901,260,605,844,900,863,440,239,853,383,282,227,610,630,541,
870,473,922,259,260,326,774,487,469,950,670,320,276,542,198,171,382,885,842,
118,780,660,240,364,752,125,233,017,129,160,960,931,273,923,146,221,460,162,
876,354,154,618,712,302,811,845,570,376,583,032,589,007,611,808,843,835,539,
389,592,649,065,975,412,852,660,555,031,503,061,119,601,454,009,456,915,083,
861,249,029,512,717,870,247,298,192,689,520,371,077,323,720,667,064,567,672,
489,391,567,513,226,866,476,190,803,079,763,385,470,879,049,546,544,665,135,
813,892,066,655,031,397,443,608,065,237,249,603,284,373,124,862,724,232,787,
448,367,315,674,020,833,881,700,446,435,652,139,015,661,862,600,684,193,997,
014,090,115,320,288,282,435,017,371,151,093,854,446,692,180,491,995,888,699,
067,130,879,756,983,173,594,970,583,765,156,216,645,468,758,128,958,064,675,
416,952,776,971,039,473,060,381,794,031,351,215,328,501,877,879,396,985,503,
322,984,694,788,418,708,823,295,247,093,108,690,504,717,383,652,852,146,965,
713,989,802,824,390,769,256,220,280,937,732,735,052,940,607,522,694,847,903,
195,109,938,270,943,877,957,374,491,963,118,487,237,702,754,829,361,552,955,
339,742,968,793,051,520,543,183,525,931,064,279,751,398,954,507,306,925,547,
795,157,595,462,636,571,750,583,136,853,940,010,132,144,093,436,549,572,038,
288,167,472,578,541,262,794,120,575,292,374,617,561,388,330,698,214,809,933,
478,161,058,559,850,638,136,259,042,169,484,958,283,368,624,980,873,277,516,
231,649,917,234,876,536,662,574,765,692,022,691,212,477,718,184,603,346,183,
318,813,980,064,131,783,914,311,568,409,757,858,368,766,582,384,405,095,258,
897,752,804,906,704,824,515,612,552,502,455,414,529,960,805,460,614,256,807,
180,275,679,325,702,346,541,881,158,492,991,615,273,691,214,270,588,452,955,
582,914,630,692,576,664,754,096,235,085,076,141,299,753,924,372,413,049,034,
044,128,207,679,800,290,765,803,346,417,166,194,096,581,810,410,861,886,191,
682,471,313,601,070,626,174,885,847,533,866,037,327,037,725,505,730,421,992,
202,490,985,860,685,362,336,348,941,260,320,939,714,686,427,026,672,982,159,
316,891,270,973,876,629,084,359,395,282,835,959,137,890,293,917,500,054,386,
940,966,665,485,280,139,260,028,458,279,337,385,358,551,223,528,016,722,512,
746,177,241,230,504,096,143,808,479,640,247,422,545,366,631,302,469,094,659,
157,949,001,932,932,993,550,420,632,101,180,978,123,183,975,385,515,071,354,
692,634,041,357,617,218,664,353,271,098,169,072,315,010,235,592,292,356,402,
170,709,110,185,633,926,612,659,774,996,475,599,966,289,822,263,793,626,066,
654,420,955,945,620,399,547,333,110,016,807,769,878,587,003,665,906,443,571,
410,535,177,129,146,084,484,987,753,372,897,724,064,632,993,043,756,361,733,
498,648,622,890,931,848,506,970,167,951,422,398,737,726,183,374,931,052,757,
394,224,432,334,985,670,947,703,602,784,819,622,938,078,657,312,999,451,346,
350,943,958,074,254,403,605,155,648,541,668,630,686,655,419,124,915,113,970,
404,593,144,092,360,725,954,073,012,854,038,674,313,832,008,321,634,415,238,
390,706,767,415,790,551,650,958,301,722,065,014,998,544,547,101,138,816,388,
278,221,729,266,070,210,837,032,850,302,472,392,670,740,407,719,253,280,820,
993,236,742,445,471,100,091,431,136,293,719,794,822,503,348,650,771,500,214,
113,384,441,424,848,156,653,234,649,935,383,456,838,592,314,675,463,955,003,
273,349,599,485,306,204,713,995,452,280,642,833,341,153,741,276,502,196,008,
193,186,456,451,556,156,290,816,007,756,260,986,448,830,099,185,586,970,619,
671,308,481,445,558,844,550,244,028,895,046,991,729,372,349,234,319,578,071,
317,705,842,887,061,335,214,994,732,203,783,743,835,154,056,009,095,036,387,
295,677,579,564,693,935,439,193,522,296,306,097,866,053,546,751,959,676,243,
947,654,836,111,230,776,395,414,677,792,006,266,707,858,153,072,229,237,796,
829,387,243,799,464,602,493,952,544,929,579,747,484,564,061,677,810,093,946,
008,683,440,723,360,294,729,542,950,599,683,401,466,623,523,847,518,337,638,
566,162,565,678,906,304,478,935,108,771,321,715,544,215,543,184,249,601,324,
062,289,228,016,605,546,824,205,840,839,538,224,308,569,605,155,221,724,521,
800,043,430,450,522,455,304,151,952,721,495,525,557,552,143,535,073,896,367,
033,458,450,399,447,972,171,652,973,446,736,939,124,493,477,991,558,487,413,
115,792,148,243,747,294,691,907,391,735,194,020,922,057,775,733,367,450,658,
147,635,374,254,808,060,664,919,074,808,687,441,505,310,635,030,877,278,496,
347,678,211,869,034,563,515,096,651,910,819,860,104,391,855,350,751,868,698,
327,890,282,735,472,466,654,653,578,236,642,633,926,843,751,070,872,026,840,
653,094,685,149,614,388,895,741,784,796,274,040,575,752,956,707,951,812,110,
476,938,657,543,762,068,422,834,899,008,493,452,468,474,662,422,814,691,119,
897,745,996,505,490,123,114,602,382,498,753,948,952,868,975,984,261,285,681,
011,576,455,128,853,202,265,189,598,404,586,502,485,208,178,854,299,223,881,
792,692,157,751,776,042,938,322,598,919,090,768,035,796,204,713,912,714,618,
995,987,749,788,377,325,640,757,257,866,632,996,470,879,694,876,498,740,993,
893,898,822,392,129,538,695,687,210,527,166,268,161,487,524,370,546,472,793,
831,811,080,992,739,031,536,821,925,629,908,154,137,328,868,788,050,460,220,
026,720,541,246,699,181,561,069,893,770,874,222,690,649,588,421,827,562,062,
569,688,116,362,317,444,654,793,604,486,015,724,232,132,235,417,247,709,990,
983,158,144,687,421,993,931,099,491,672,339,670,241,494,979,717,331,275,576,
441,800,470,031,901,446,639,499,801,132,219,531,927,606,912,097,740,302,629,
992,078,767,401,987,176,081,942,007,521,899,961,046,954,379,284,060,303,208,
731,177,870,048,218,769,445,441,637,038,877,876,376,804,028,467,741,992,610,
964,197,860,856,366,811,109,608,927,798,625,279,669,707,107,528,392,641,491,
834,390,706,223,684,196,870,200,541,385,256,947,644,799,820,413,891,699,092,
222,410,921,267,340,820,079,633,469,153,433,496,600,872,125,149,169,570,902,
687,727,470,503,304,204,895,800,776,849,059,595,613,542,206,035,344,525,378,
818,985,928,438,392,336,273,840,449,647,201,167,170,503,616,903,499,767,129,
896,059,986,460,970,956,107,479,419,266,365,522,892,337,016,507,438,539,304,
635,367,987,291,693,693,259,190,703,200,126,718,347,728,016,024,778,635,917,
637,075,608,121,038,621,391,301,182,898,195,559,561,147,116,716,301,450,163,
713,100,411,752,545,248,798,174,725,395,240,028,460,958,851,666,813,262,373,
549,409,548,602,083,258,181,528,804,005,966,232,665,974,994,054,565,381,247,
690,977,953,998,305,843,184,596,855,971,257,259,217,912,886,405,681,343,357,
202,685,637,849,906,017,046,350,437,800,327,363,902,729,399,832,197,426,808,
534,028,733,365,471,009,635,528,971,624,064,281,989,263,529,459,277,923,068,
614,566,944,166,003,249,147,847,901,797,275,444,314,477,921,931,445,612,204,
147,748,273,391,011,284,779,256,521,378,791,710,458,601,078,237,037,652,007,
783,988,919,573,128,394,222,322,160,236,638,753,601,655,987,855,146,226,577,
573,713,828,917,123,576,297,692,941,775,316,804,013,114,818,970,015,971,728,
943,271,642,133,222,791,975,177,850,323,551,245,770,262,705,745,021,387,381,
191,475,752,722,141,602,861,281,124,259,762,031,118,165,810,264,044,103,967,
256,629,855,738,958,886,804,359,660,648,355,269,255,284,861,428,790,893,418,
485,002,525,947,723,580,412,464,519,708,592,062,096,935,080,231,206,383,751,
912,516,659,274,179,760,005,647,545,445,681,414,543,192,727,135,270,765,767,
400,534,670,787,999,747,140,005,218,344,321,943,016,852,452,793,568,109,403,
958,982,986,058,585,954,109,042,825,841,230,666,973,067,272,869,829,019,443,
982,606,519,970,962,968,156,470,370,982,760,784,757,446,624,497,273,155,283,
845,644,660,083,693,308,976,534,052,109,325,315,772,325,515,779,767,337,366,
667,434,660,696,179,691,327,617,809,593,001,911,398,823,282,600,758,851,634,
428,520,011,914,159,491,655,672,009,603,508,004,736,434,881,355,072,129,577,
214,019,826,348,042,941,837,830,455,649,782,578,556,352,726,032,253,434,835,
945,229,518,394,572,800,068,307,127,512,573,128,827,738,151,430,498,464,238,
977,675,619,611,129,517,138,978,126,810,897,261,282,454,259,598,188,025,759,
345,646,119,694,510,979,615,073,353,766,548,144,703,251,696,016,656,773,763,
928,159,143,227,516,775,534,676,340,085,660,443,260,931,035,576,890,668,718,
481,353,865,458,853,447,363,931,582,181,199,507,379,420,746,702,859,927,828,
910,143,911,783,435,648,267,389,248,591,037,414,133,503,727,087,911,394,258,
096,951,449,221,345,402,177,914,075,093,570,355,474,931,454,157,478,008,833,
696,800,314,498,060,996,804,718,348,044,732,281,563,339,396,827,268,081,547,
394,232,860,635,036,288,909,129,742,951,823,914,105,433,910,320,961,405,520,
893,138,242,897,211,409,671,536,988,269,143,318,242,943,331,434,785,061,763,
837,028,592,611,311,127,320,000,043,015,773,166,495,583,436,018,585,028,038,
027,256,183,586,428,329,510,635,165,681,910,498,462,490,763,476,897,603,637,
296,076,407,961,418,451,792,004,402,161,954,422,678,193,790,156,262,876,326,
608,053,509,391,753,988,299,795,833,951,341,713,186,673,962,798,748,664,337,
260,546,074,419,764,711,666,950,069,500,967,855,328,860,241,854,417,126,803,
043,431,293,469,829,978,760,473,879,147,311,794,079,012,505,399,535,244,823,
733,111,273,680,371,728,905,906,305,558,189,731,042,144,712,076,440,715,674,
863,756,080,497,471,459,654,164,251,390,753,351,287,366,472,021,503,742,877,
351,623,437,051,185,523,464,270,906,086,058,488,916,831,912,568,975,435,216,
940,778,557,974,214,622,932,239,695,102,081,061,888,811,401,885,784,093,994,
663,328,208,700,141,717,429,581,782,129,534,267,439,261,006,817,924,531,900,
289,463,682,869,557,339,398,344,966,162,563,750,411,136,691,488,795,631,547,
414,292,243,505,052,367,872,791,749,710,334,736,740,288,055,218,636,914,475,
919,841,132,558,455,838,000,507,715,105,977,811,344,912,659,832,643,612,118,
441,946,423,922,682,180,921,358,239,177,362,100,581,302,381,390,208,973,911,
628,648,275,942,311,089,965,449,523,867,075,044,136,494,288,248,233,233,690,
140,601,230,090,737,968,172,743,317,712,175,470,457,071,241,358,179,593,926,
679,226,044,063,328,550,070,049,466,539,696,787,983,822,697,800,568,013,932,
229,326,580,664,768,135,474,157,442,445,224,610,770,258,055,669,264,345,993,
674,910,612,288,326,227,922,710,818,447,900,146,926,171,763,283,541,437,196,
650,673,521,081,181,041,049,956,213,891,195,124,067,172,078,868,040,251,027,
039,598,369,651,280,125,842,603,909,725,128,619,369,084,414,215,051,403,992,
159,831,736,349,449,151,953,571,317,848,740,542,071,609,454,184,481,614,819,
444,927,141,145,685,871,112,653,735,174,010,546,719,590,556,069,578,301,796,
614,621,226,998,156,316,443,073,776,099,770,616,893,721,747,369,093,684,061,
152,205,452,796,058,393,154,167,822,866,212,335,275,389,236,095,495,774,424,
440,660,300,617,361,449,311,829,781,551,243,162,922,619,186,450,165,740,387,
356,315,923,363,317,289,326,317,852,409,440,277,437,459,909,870,146,652,682,
192,649,236,957,583,871,287,599,486,208,915,996,444,376,098,516,070,871,020,
688,532,781,813,806,377,009,778,742,093,981,745,449,146,531,714,303,409,906,
268,919,799,449,054,812,564,859,044,864,781,445,325,742,454,226,937,804,860,
119,494,233,719,637,740,795,414,096,809,277,330,454,858,819,775,746,279,008,
929,315,151,136,338,670,239,406,086,777,025,287,266,349,436,175,658,741,781,
220,970,178,298,631,389,896,401,497,615,223,349,870,391,504,096,509,208,351,
110,486,590,217,592,989,320,376,318,444,760,051,670,853,504,616,021,022,326,
803,893,153,182,815,464,086,892,659,875,186,413,916,502,802,274,801,617,384,
205,183,830,282,629,585,351,988,341,468,261,517,264,603,879,710,423,584,708,
998,761,101,782,898,103,582,023,624,862,360,878,188,942,530,169,482,563,047,
254,027,070,271,583,174,948,817,201,257,298,119,610,313,717,262,865,251,606,
288,395,910,822,180,970,315,395,535,706,109,151,709,299,444,911,332,312,992,
398,463,027,700,232,724,990,860,012,246,904,647,628,031,658,427,155,213,070,
279,111,212,294,295,881,255,857,631,326,609,735,441,439,867,978,715,265,313,
857,840,759,599,675,998,224,601,401,122,190,297,141,786,436,275,616,293,307,
970,351,212,119,470,661,862,177,847,766,556,393,431,304,088,711,431,527,006,
042,185,374,904,108,172,130,117,576,546,258,956,360,672,931,251,738,019,790,
522,345,873,781,505,354,701,510,908,195,196,447,508,471,098,027,932,122,773,
824,089,290,196,741,063,870,997,047,909,129,518,180,235,329,518,566,689,332,
830,151,241,042,934,953,042,423,799,796,086,115,151,905,350,756,443,458,219,
337,559,958,691,887,519,818,879,218,936,458,065,561,629,872,778,465,739,352,
710,562,645,883,498,854,952,744,571,504,652,393,398,509,210,151,265,136,381,
457,778,269,837,213,369,396,665,360,819,581,706,683,516,264,136,061,203,952,
531,507,839,511,806,968,394,476,707,220,063,580,310,652,735,983,257,773,339,
330,238,309,752,727,468,683,614,037,370,473,290,397,214,866,872,390,522,819,
342,795,497,313,222,905,377,260,107,562,646,381,749,655,967,280,779,689,506,
024,550,398,918,158,785,246,361,142,128,515,663,648,112,492,311,200,779,573,
010,565,421,673,165,776,363,190,070,225,337,296,129,004,475,224,638,875,020,
759,521,916,163,071,684,061,045,014,403,896,438,676,289,241,767,020,757,600,
172,309,208,513,990,984,768,198,985,693,736,456,064,621,443,884,185,520,157,
331,514,023,959,411,380,998,782,367,348,310,465,424,536,135,139,367,338,664,
723,558,901,408,875,531,541,700,423,553,433,500,957,500,354,864,337,069,031,
903,394,981,130,969,778,324,161,441,464,434,558,486,298,653,779,248,898,412,
489,492,823,600,537,446,597,219,674,409,801,174,272,818,755,583,804,287,819,
937,319,021,241,161,369,281,049,857,028,096,716,395,248,085,592,125,325,989,
363,698,646,415,813,690,183,263,695,644,771,732,216,398,864,191,666,253,846,
556,959,006,817,070,113,672,141,085,246,063,694,022,679,159,972,799,678,911,
780,852,388,342,754,705,016,517,016,023,490,773,995,803,874,977,158,567,323,
073,327,890,868,569,592,254,183,651,288,384,449,988,839,981,300,364,849,101,
297,101,052,932,383,785,312,073,649,582,774,434,464,939,762,781,825,434,825,
241,510,503,655,145,718,864,956,884,699,846,842,103,727,814,554,464,328,909,
582,257,941,892,734,717,695,703,707,671,608,532,994,184,046,948,520,506,345,
987,703,540,654,565,464,486,792,902,319,913,440,534,259,110,288,944,978,356,
609,241,653,618,922,285,718,145,812,093,754,083,742,449,174,895,504,233,170,
722,917,712,924,158,601,767,521,336,350,911,547,184,698,377,649,364,747,719,
851,255,224,700,732,232,986,305,264,695,746,156,059,707,423,530,437,053,159,
639,564,410,764,845,716,387,645,593,673,755,515,348,741,464,294,392,442,939,
112,694,586,166,293,085,566,432,591,131,295,130,033,398,500,819,740,362,137,
177,827,281,669,050,489,950,364,929,493,879,272,419,601,935,151,617,030,622,
044,044,416,136,774,961,703,759,090,307,175,774,356,629,853,921,240,158,401,
200,734,402,042,856,646,071,431,143,257,567,772,436,343,700,063,164,892,020,
919,178,967,354,318,366,937,468,619,400,641,619,440,256,104,253,754,395,991,
729,724,455,631,963,632,011,689,778,143,268,946,750,509,885,323,365,110,027,
200,971,040,398,668,064,324,226,564,193,957,798,362,067,604,081,611,220,117,
448,158,443,828,599,395,224,188,609,766,589,794,389,599,157,427,838,489,495,
801,528,334,702,732,139,368,532,441,471,528,075,718,246,363,717,224,137,409,
864,418,290,791,243,796,806,196,807,154,041,918,687,880,781,903,018,275,005,
940,702,824,070,444,553,805,001,610,964,261,097,518,292,297,191,500,332,595,
753,147,670,599,182,945,611,321,285,430,277,595,487,926,581,043,257,752,494,
016,712,578,400,654,306,666,928,764,317,480,036,156,867,290,566,407,360,490,
868,602,280,455,219,206,125,503,687,641,212,416,780,755,609,932,629,239,411,
742,281,290,472,632,560,831,356,024,954,323,543,871,669,029,821,789,815,649,
717,984,547,841,031,750,228,719,514,119,022,825,274,761,679,851,824,778,593,
698,345,891,517,823,540,003,513,661,614,193,693,720,921,770,411,667,473,335,
060,642,549,288,163,197,982,367,291,870,706,111,593,846,420,376,402,404,450,
490,674,746,234,853,078,209,472,280,198,478,995,447,093,828,146,889,442,312,
243,301,577,783,516,075,419,636,621,261,952,133,655,007,417,582,081,618,150,
181,142,048,328,004,104,345,506,141,540,107,832,944,108,377,685,503,837,354,
515,250,062,560,255,846,237,231,022,570,371,301,152,709,580,484,364,693,229,
553,291,716,188,627,388,154,711,091,091,228,601,750,528,764,225,273,931,947,
933,172,566,829,807,927,356,964,836,129,976,321,343,748,654,654,679,180,253,
769,980,299,851,544,044,100,990,203,985,140,636,588,757,935,976,108,480,745,
303,341,922,669,026,353,184,258,220,846,543,611,165,121,448,026,488,487,187,
154,366,568,847,177,331,907,308,533,279,964,095,777,141,803,515,131,945,939,
629,086,991,168,954,698,682,055,274,074,374,970,563,112,996,290,947,727,745,
166,174,675,006,179,804,015,340,556,817,025,654,749,499,552,483,136,084,320,
842,665,010,412,366,450,134,169,405,540,144,933,413,859,759,328,275,164,203,
175,467,598,037,378,233,001,660,117,359,919,834,811,426,649,299,171,274,399,
142,329,998,273,835,371,446,516,190,213,040,669,176,709,357,225,162,389,531,
660,470,043,181,575,109,437,942,723,536,738,409,694,044,995,709,342,151,157,
656,696,430,262,431,118,449,702,037,864,821,236,652,663,836,841,059,865,278,
460,988,326,785,771,761,976,157,692,096,450,348,338,813,117,211,533,572,932,
616,979,062,489,144,853,883,787,512,663,619,079,078,077,272,704,604,275,154,
462,186,585,896,902,982,162,856,076,663,221,023,394,311,767,863,609,976,773,
241,749,656,004,867,512,494,669,939,547,049,928,801,826,664,598,269,212,863,
590,731,440,502,185,296,421,674,071,718,335,452,482,492,022,617,285,879,551,
703,604,808,861,800,410,259,074,205,881,565,795,226,662,477,959,369,933,685,
072,041,918,325,574,265,886,493,946,460,782,473,484,018,360,429,771,363,393,
033,280,462,133,835,002,278,615,631,597,663,365,863,203,663,649,112,777,984,
653,762,521,659,027,669,545,489,738,096,716,042,199,582,001,485,783,498,525,
695,567,494,172,439,275,937,811,813,389,221,883,100,409,385,075,766,494,479,
199,498,635,238,557,585,124,563,294,313,679,324,037,384,586,840,806,110,321,
519,716,673,912,114,382,150,698,323,202,352,963,876,189,305,390,666,896,372,
796,742,509,394,904,079,668,475,435,224,428,892,090,990,899,989,591,865,965,
413,125,637,149,943,490,103,570,722,396,705,282,718,852,291,307,682,851,383,
344,865,144,435,018,758,694,521,405,753,849,206,047,487,911,962,513,244,478,
871,170,394,175,820,346,824,812,137,629,836,813,756,162,490,108,348,836,660,
822,756,876,187,705,948,423,608,677,058,596,088,035,986,752,068,201,506,927,
369,703,478,535,345,102,614,603,063,116,837,522,826,833,258,755,209,776,350,
149,095,604,209,098,431,066,268,810,970,609,368,340,964,389,867,208,182,351,
748,731,143,385,419,308,905,095,159,474,006,140,292,841,263,098,836,894,745,
153,151,714,859,062,141,695,549,729,570,616,515,897,611,633,304,778,686,439,
732,454,044,837,388,034,517,278,591,144,330,830,325,038,478,323,388,069,553,
178,087,385,319,572,597,317,877,736,190,391,106,889,989,295,935,478,834,055,
079,341,462,714,254,236,022,040,729,149,613,742,016,797,789,446,287,345,270,
835,912,676,761,819,462,437,054,448,222,701,103,162,647,127,559,235,301,076,
247,393,932,457,136,909,518,267,070,968,724,457,003,556,389,078,778,868,591,
507,438,259,643,020,500,679,221,527,352,920,867,875,540,237,704,751,430,302,
305,916,396,898,117,542,188,720,930,943,555,111,212,428,168,568,716,195,821,
478,030,396,262,912,351,248,218,370,562,207,229,784,382,752,054,284,746,336,
977,471,612,531,763,917,837,815,847,734,222,997,538,957,330,819,216,303,458,
873,796,074,699,951,830,258,109,880,703,080,589,744,307,899,781,948,438,376,
401,258,501,687,935,338,115,670,453,824,838,215,464,761,329,928,552,359,941,
293,077,245,094,034,701,688,721,902,293,028,090,094,475,297,119,836,878,421,
054,958,661,579,750,886,751,138,102,114,167,974,886,794,136,295,293,592,946,
353,789,612,300,577,278,907,300,573,194,487,638,813,647,899,013,020,472,260,
537,609,778,549,223,704,890,417,459,023,811,460,565,047,931,344,344,550,447,
054,928,935,545,317,880,369,673,808,881,361,082,028,069,211,085,376,216,618,
725,037,579,595,229,555,525,712,109,454,536,931,497,575,094,686,237,369,561,
383,852,485,786,235,361,727,530,581,467,873,358,253,832,060,640,437,404,324,
174,073,776,014,561,216,280,773,833,459,813,702,151,416,345,006,341,117,767,
736,645,317,424,006,333,481,192,743,953,748,712,900,144,432,855,629,973,802,
091,798,623,733,493,939,394,353,669,303,066,767,671,243,133,548,482,292,824,
418,970,197,664,090,272,533,944,795,570,051,481,282,308,822,830,184,273,361,
131,169,463,571,467,804,298,272,679,546,874,446,774,963,891,480,233,548,268,
377,799,932,737,366,192,397,875,294,311,870,569,837,140,521,328,334,675,729,
586,063,728,359,569,869,082,215,540,729,436,346,218,544,415,774,578,497,041,
153,322,968,319,945,657,327,965,282,210,695,869,096,559,704,832,436,642,442,
744,127,066,281,382,723,450,491,046,534,909,610,990,214,489,542,262,699,748,
233,122,400,963,749,832,314,034,843,960,487,083,617,000,887,737,868,152,094,
527,830,613,142,068,164,528,007,219,564,694,362,659,035,154,452,073,483,492,
780,451,998,182,157,687,623,404,738,542,211,953,823,389,719,276,935,927,123,
361,388,153,893,605,617,634,711,008,538,952,759,345,499,927,994,282,121,193,
775,727,384,614,101,147,264,366,339,184,334,417,124,127,793,466,346,293,463,
612,335,482,074,488,684,582,262,931,886,595,387,401,534,688,718,297,075,518,
566,275,218,644,544,423,218,121,651,669,087,186,565,595,396,523,274,603,325,
400,950,535,276,146,311,381,459,754,899,592,039,314,010,477,129,765,578,721,
932,056,153,717,055,442,871,495,221,260,651,359,093,265,746,603,166,984,507,
685,554,245,216,154,895,491,841,471,633,323,191,071,093,538,545,479,836,645,
073,326,735,021,176,851,016,175,000,827,556,104,329,090,808,797,693,570,226,
999,678,998,760,533,189,978,522,128,153,733,774,512,382,612,036,692,111,631,
979,565,761,197,351,193,265,748,906,634,020,930,027,836,543,768,024,384,442,
669,924,058,759,241,461,646,743,492,170,059,141,626,647,435,422,072,246,979,
353,722,412,052,362,186,163,068,725,713,379,695,197,644,401,830,744,819,716,
930,111,937,240,705,637,856,920,661,132,906,720,645,194,755,320,346,065,100,
047,988,296,219,698,623,748,288,865,966,381,832,622,574,088,433,757,643,304,
056,775,849,863,742,933,240,002,172,157,076,167,716,014,879,120,638,780,721,
930,816,145,946,505,477,954,796,630,620,512,786,731,555,955,658,777,626,004,
985,943,413,614,614,604,558,176,055,437,920,896,369,376,941,601,122,328,991,
468,479,881,471,688,488,456,112,054,803,806,250,132,303,785,101,638,074,720,
737,783,914,367,644,718,253,112,805,603,802,046,392,090,360,247,918,372,443,
651,379,083,574,649,037,941,481,899,437,294,724,270,641,936,723,225,603,366,
394,836,153,666,310,302,079,401,959,922,888,922,641,048,384,782,829,432,993,
176,091,271,666,336,002,060,069,197,824,865,153,033,695,481,957,586,647,725,
735,903,364,177,709,151,754,566,073,899,208,574,482,085,828,233,834,606,289,
135,036,417,297,206,492,204,449,616,574,665,419,245,918,661,441,250,019,298,
155,657,385,964,579,745,495,146,714,571,182,244,856,628,589,157,502,245,458,
430,541,630,724,890,383,786,296,691,090,158,154,362,147,061,763,205,990,532,
542,641,681,118,714,961,500,941,791,989,606,491,373,637,046,047,459,607,522,
694,950,918,520,549,163,801,510,662,104,163,897,122,411,832,492,045,120,644,
692,085,594,933,089,484,967,009,836,602,894,043,531,742,954,794,001,813,980,
393,251,014,255,593,780,237,146,867,211,896,228,664,444,013,458,388,468,437,
544,623,114,197,901,479,853,712,441,911,262,838,647,770,093,022,595,702,428,
586,368,627,229,417,866,579,915,481,569,711,050,224,804,108,912,137,441,807,
696,395,181,480,527,727,426,738,339,226,868,653,209,953,361,291,644,817,066,
715,493,550,039,553,404,732,544,774,473,000,229,687,160,015,667,879,438,746,
610,685,410,292,356,470,748,990,024,881,532,032,572,753,948,357,108,160,095,
478,965,089,266,445,738,838,197,783,238,151,097,292,795,546,264,646,046,947,
045,154,715,678,155,691,960,540,926,762,500,881,452,155,888,408,083,420,442,
950,147,859,740,381,500,208,862,064,843,063,231,539,793,173,285,992,448,240,
691,261,691,997,410,711,243,482,667,778,103,202,304,185,363,624,445,020,031,
289,972,944,276,544,327,531,532,779,646,482,748,267,852,065,072,866,185,754,
524,979,106,208,624,581,487,206,592,011,023,760,263,357,684,443,317,791,503,
685,110,165,799,637,440,068,413,190,573,528,417,395,326,634,734,272,867,905,
368,563,878,259,203,040,841,409,448,328,119,340,664,278,461,719,814,325,809,
560,542,425,963,762,502,433,363,291,915,581,857,598,000,485,202,837,567,889,
485,334,081,905,360,465,319,071,709,258,636,962,183,552,015,989,015,183,207,
437,916,309,849,307,813,574,217,588,870,872,708,433,308,287,156,205,323,897,
849,891,902,215,345,628,470,098,908,084,716,647,643,000,122,435,779,487,530,
688,195,806,185,929,115,252,067,606,857,813,142,262,031,166,255,485,215,457,
581,970,268,182,309,400,194,771,339,523,729,793,251,001,800,981,452,448,110,
149,892,443,815,167,845,043,656,588,653,041,168,787,019,696,665,875,051,339,
184,406,343,051,728,095,164,980,103,757,983,092,538,424,913,720,941,700,332,
403,554,830,267,242,425,786,339,559,236,673,451,907,367,118,038,957,956,244,
614,336,225,525,690,757,299,571,082,317,241,076,587,794,828,721,829,815,418,
907,472,728,075,881,576,476,797,057,922,921,841,908,547,848,397,450,445,539,
160,572,333,555,678,836,650,048,093,419,617,119,300,993,590,730,743,630,545,
788,892,865,177,271,832,469,654,605,852,945,574,626,751,592,987,385,789,934,
039,418,885,625,346,229,207,022,515,284,005,266,474,208,297,284,711,320,220,
810,864,042,918,012,060,896,295,301,354,282,324,950,805,411,871,485,971,173,
344,427,900,891,146,309,042,046,806,868,994,460,139,736,791,244,703,019,865,
703,258,805,008,482,117,879,480,738,116,461,530,600,954,556,006,902,337,127,
203,504,625,785,965,159,214,749,977,994,254,144,361,805,035,055,943,350,113,
543,319,087,601,328,106,272,708,925,763,532,960,013,097,236,100,578,382,878,
942,743,695,173,627,793,241,892,090,949,776,536,324,007,080,751,990,743,627,
966,034,716,684,183,953,246,801,428,642,263,107,942,050,033,622,454,803,545,
199,154,024,118,361,487,827,322,859,280,688,493,060,560,873,930,351,246,348,
273,768,225,896,558,886,793,055,955,072,111,593,438,431,674,485,896,446,115,
750,458,051,546,322,004,904,378,062,747,674,713,423,149,377,510,573,140,075,
241,198,038,522,703,178,805,439,891,812,006,217,981,033,147,124,424,559,110,
520,014,075,273,234,793,871,639,174,070,882,946,031,738,504,976,492,135,812,
772,953,493,134,626,211,907,927,420,802,268,771,065,059,795,015,937,286,697,
853,673,860,136,171,409,886,128,107,406,824,102,243,668,394,112,526,797,662,
545,099,721,049,972,266,452,864,136,168,966,563,061,896,480,146,886,747,202,
995,980,343,755,141,633,164,856,444,927,083,337,390,601,233,034,136,507,329,
382,046,348,864,608,093,583,550,581,609,903,778,300,255,279,562,549,940,388,
116,730,268,003,288,524,758,432,143,138,337,346,138,090,276,100,272,673,125,
844,597,439,077,137,467,339,729,124,635,750,034,966,550,032,439,325,029,699,
337,396,119,437,018,771,180,768,414,552,930,895,168,197,131,416,101,900,231,
107,411,402,064,201,716,557,677,383,962,190,636,861,806,765,462,008,983,863,
128,956,084,979,327,943,320,512,818,585,120,361,940,154,200,343,424,355,064,
999,561,830,511,789,947,281,034,908,755,275,546,569,976,122,708,178,593,127,
984,322,653,230,729,862,062,970,101,740,971,536,893,875,089,456,232,512,223,
703,363,066,627,825,998,281,602,806,870,066,434,895,821,018,065,661,943,796,
324,309,939,955,159,399,370,181,203,470,292,510,283,672,082,644,173,149,044,
863,254,182,610,253,487,464,825,374,743,087,939,216,983,084,055,921,317,021,
128,495,184,086,858,233,890,428,151,329,001,337,806,626,126,564,212,227,416,
519,772,062,170,893,361,291,635,796,423,567,289,923,452,503,234,293,360,922,
476,872,780,259,684,240,291,665,230,133,757,568,302,172,647,305,065,169,616,
420,788,624,340,353,619,375,569,733,703,197,664,543,946,313,543,886,553,024,
365,939,602,105,388,894,259,541,952,368,089,697,730,559,599,026,946,629,760,
460,324,764,719,079,797,781,301,578,869,800,246,366,369,006,424,265,448,965,
452,036,362,977,605,747,528,564,050,698,233,840,957,923,037,664,626,162,332,
277,935,361,591,774,574,603,502,734,442,624,958,782,923,769,047,003,082,652,
608,053,730,574,817,446,425,019,405,163,128,818,663,194,671,949,615,134,838,
544,349,971,411,524,326,322,212,869,365,854,576,850,017,792,732,669,944,481,
173,337,764,889,088,862,383,041,434,402,763,578,450,942,707,403,331,021,035,
285,078,874,115,422,990,650,683,229,754,250,872,762,304,918,004,941,375,151,
669,947,804,736,778,102,998,350,261,184,619,457,543,686,324,093,042,992,396,
598,230,437,652,018,731,745,026,462,010,731,485,244,167,056,782,239,468,156,
892,469,782,235,226,053,160,120,801,523,435,317,330,496,716,518,106,955,528,
041,632,911,573,392,951,656,521,162,797,189,268,358,706,621,200,727,414,559,
643,351,475,938,092,874,680,897,942,889,617,286,228,329,855,444,219,948,312,
179,027,942,102,900,353,896,030,801,697,993,578,668,758,703,704,390,724,256,
492,429,379,972,066,110,068,393,140,100,980,951,587,996,342,639,364,305,321,
557,384,302,213,016,463,593,899,172,181,406,507,745,118,726,092,691,569,116,
059,893,328,723,757,991,358,290,148,829,782,124,665,520,331,102,576,256,194,
983,085,061,218,996,188,646,583,791,105,458,926,271,832,223,249,176,039,792,
280,932,453,444,062,890,904,568,309,551,656,650,400,724,714,279,398,765,029,
133,534,676,989,709,897,169,890,039,465,135,455,366,258,489,640,466,376,026,
988,944,059,258,089,755,000,745,968,821,813,211,722,499,691,692,926,640,258,
566,316,059,241,232,077,171,902,281,393,980,637,124,178,512,257,823,488,871,
538,188,045,038,500,421,863,610,124,772,942,326,718,056,845,288,184,557,742,
135,871,920,625,304,857,739,408,627,322,870,885,385,476,595,715,255,262,861,
900,422,001,672,889,933,810,051,762,763,455,629,630,896,122,723,499,595,853,
430,830,329,438,195,793,629,708,453,520,571,281,717,649,193,638,861,059,434,
339,726,430,593,533,845,548,085,033,279,450,636,292,233,534,283,650,651,352,
132,287,889,125,513,232,055,354,639,924,036,169,710,298,447,039,973,655,288,
365,134,586,260,458,434,521,148,635,840,984,749,948,985,560,122,751,886,606,
864,883,967,975,674,966,432,006,434,653,855,709,253,821,914,203,379,387,208,
281,884,006,051,041,688,497,379,827,514,509,874,683,074,880,213,569,443,016,
061,297,153,624,503,537,537,156,424,157,690,811,841,687,590,925,222,634,095,
816,147,936,637,189,200,230,494,630,742,638,367,677,283,663,451,716,558,782,
310,737,788,063,680,216,271,183,376,750,469,286,807,037,353,677,752,023,701,
174,196,165,695,678,459,042,819,797,661,414,444,251,210,026,919,751,026,879,
593,259,422,990,739,331,150,943,367,358,782,565,787,460,926,706,137,970,283,
421,546,760,086,873,796,353,509,958,961,833,877,273,892,832,270,872,714,557,
689,269,951,214,856,748,476,715,728,785,851,068,773,817,615,141,251,917,591,
484,063,095,596,097,665,689,918,388,151,971,964,682,605,212,902,839,839,791,
201,657,735,231,649,065,357,581,539,928,237,124,665,516,313,332,063,087,067,
126,722,699,723,837,498,489,764,381,271,539,839,792,612,579,427,987,772,842,
363,949,801,024,546,923,654,503,521,084,686,578,444,302,474,705,462,435,427,
789,321,527,349,217,852,057,752,856,970,691,726,331,478,463,517,058,428,850,
143,303,275,050,857,954,638,579,598,987,903,751,991,700,205,729,174,998,331,
030,621,870,680,073,037,397,630,151,432,423,065,902,776,646,657,797,986,628,
497,068,370,219,621,438,730,899,222,514,535,782,379,993,043,574,443,972,932,
917,425,398,412,745,907,887,830,347,486,834,905,985,496,142,279,719,351,635,
650,053,824,103,048,347,569,951,513,979,785,407,699,174,360,826,150,050,941,
098,381,733,127,513,952,227,936,065,379,638,290,589,588,052,058,521,493,843,
773,137,877,240,476,743,418,885,002,275,017,532,246,411,157,631,146,837,069,
865,322,078,617,353,708,275,586,998,836,626,667,888,030,314,884,652,619,202,
591,691,127,944,642,359,881,979,157,152,565,998,413,144,817,752,869,137,247,
147,500,220,374,696,936,203,926,752,426,646,711,813,856,199,890,471,328,225,
682,932,223,645,033,255,572,659,415,383,612,730,742,202,846,537,094,317,717,
082,320,135,842,726,938,588,480,451,178,540,655,002,490,865,535,300,799,617,
140,596,079,097,387,181,735,052,146,805,965,227,072,530,225,951,554,570,294,
085,857,302,872,339,098,002,199,057,221,206,214,770,793,224,011,041,895,603,
771,825,757,670,991,008,233,518,423,370,071,634,956,886,157,929,530,055,430,
213,694,836,295,886,299,731,486,176,631,528,356,261,818,651,235,675,699,710,
805,160,706,261,846,979,509,457,641,709,682,012,065,440,976,579,402,783,185,
635,986,693,728,218,656,078,632,814,185,216,437,100,849,530,855,281,833,512,
765,560,660,319,357,352,483,287,721,692,758,548,848,886,908,320,582,932,383,
637,233,227,312,206,202,065,719,400,101,033,565,550,647,659,853,769,111,990,
380,751,213,290,636,798,367,123,547,548,249,418,826,709,724,756,541,682,436,
896,141,442,233,190,482,596,330,773,665,393,867,773,816,403,384,547,273,759,
083,928,120,079,740,733,664,819,898,352,159,132,917,065,135,361,428,552,812,
787,659,159,625,424,017,313,371,637,923,137,662,600,366,784,863,721,399,928,
827,539,108,536,070,589,148,481,013,601,337,469,312,422,990,104,625,461,351,
838,383,088,394,066,513,854,399,142,789,171,021,899,597,993,662,745,433,302,
007,365,713,999,171,326,913,492,353,688,172,209,120,227,078,415,462,410,900,
915,760,475,926,183,424,517,098,076,228,799,497,865,014,913,535,447,727,627,
117,976,662,757,427,823,947,038,376,602,624,593,566,583,123,373,492,011,301,
982,308,999,629,634,658,141,971,137,585,322,928,291,769,685,468,203,435,982,
318,571,962,834,988,101,116,709,519,338,258,538,595,426,778,673,500,456,356,
610,618,605,419,752,027,142,713,403,024,894,857,571,776,201,396,458,094,999,
624,946,315,628,847,895,662,591,956,058,852,135,098,845,614,897,737,166,488,
546,078,547,404,748,790,149,825,785,668,010,986,919,418,924,986,803,401,409,
896,316,742,690,074,437,776,064,854,990,262,046,284,445,098,744,619,122,664,
724,803,483,732,653,825,983,785,720,944,625,371,012,335,146,473,998,536,259,
958,690,660,308,545,961,226,286,901,891,889,498,260,250,652,844,663,885,595,
050,973,751,479,335,133,147,741,369,028,767,727,676,997,533,180,894,666,654,
332,382,426,606,518,081,312,599,719,811,452,753,903,755,762,214,392,047,984,
241,407,158,835,184,138,890,574,215,322,064,682,481,209,927,188,381,716,776,
786,227,043,409,635,387,619,994,564,430,962,692,731,284,527,978,865,482,563,
767,061,764,726,379,606,076,947,376,604,332,286,387,128,642,238,122,523,095,
430,017,916,808,677,174,007,626,237,145,806,104,174,476,717,077,055,266,097,
294,601,145,574,173,279,762,982,310,421,243,582,358,441,596,069,366,157,718,
106,124,809,190,849,378,933,115,867,494,099,455,763,397,364,957,342,497,660,
240,504,836,047,433,261,458,339,326,910,967,518,564,768,105,530,531,098,345,
242,152,406,537,602,457,694,653,525,053,205,192,336,305,256,428,411,175,469,
338,225,399,921,739,854,703,022,333,625,489,422,385,839,924,208,584,054,279,
568,715,569,082,518,883,004,173,288,802,308,740,696,726,833,632,929,135,603,
863,600,356,863,550,292,427,403,450,166,779,453,597,375,119,323,885,917,386,
758,032,790,090,698,526,089,051,297,496,997,195,912,616,027,288,097,227,684,
637,788,792,042,529,695,634,133,623,657,121,590,049,343,443,400,371,975,740,
288,699,207,214,086,587,481,267,881,815,197,922,918,612,763,051,047,725,423,
755,256,098,327,476,165,529,477,458,495,082,010,132,125,833,660,400,318,069,
488,025,135,507,994,916,625,867,242,044,296,162,910,048,750,389,520,784,792,
018,894,586,694,010,346,300,485,388,101,608,379,484,262,659,309,233,076,804,
402,316,679,937,806,541,215,776,349,178,883,591,974,746,737,794,098,710,243,
480,894,549,805,374,719,642,608,662,686,898,089,933,407,517,561,845,760,916,
729,137,988,614,209,688,776,351,478,186,077,744,074,030,641,833,538,804,052,
335,557,545,482,495,746,149,369,891,285,061,429,701,995,017,881,818,807,772,
604,052,147,600,140,767,843,036,712,641,174,304,320,756,070,832,461,530,121,
352,590,717,859,695,632,337,442,568,787,977,808,142,699,148,306,790,772,331,
149,983,687,962,537,593,552,062,207,522,295,189,587,262,985,260,981,910,755,
520,691,141,288,230,953,654,799,510,575,670,348,746,157,250,056,919,242,792,
437,453,137,880,385,927,449,361,445,202,721,479,165,020,270,125,677,494,003,
876,065,241,000,992,012,522,993,674,810,468,229,969,622,768,957,938,299,326,
146,082,920,557,825,482,484,991,747,672,676,274,117,609,542,770,310,219,504,
682,037,123,473,126,813,593,326,375,918,065,066,554,699,183,661,388,106,995,
688,731,547,855,504,110,919,219,425,277,926,968,376,813,244,875,075,474,526,
912,289,222,667,727,409,436,871,177,926,090,606,020,813,911,936,874,394,173,
492,007,385,809,548,205,619,217,904,746,623,223,714,201,574,402,501,925,276,
659,423,214,469,472,324,031,981,810,812,926,228,067,548,376,602,504,995,402,
317,295,337,106,360,423,163,410,025,906,514,730,865,535,952,826,473,128,644,
932,025,120,226,691,834,919,750,236,798,447,106,412,150,859,682,899,673,140,
759,882,627,616,137,788,451,243,049,639,298,706,664,932,133,514,162,320,703,
088,761,904,820,204,469,986,578,238,952,304,503,599,836,471,870,885,978,975,
797,898,461,449,592,545,638,141,269,259,918,531,286,267,219,381,411,389,378,
359,942,204,901,322,334,720,787,189,304,327,175,100,431,401,350,596,677,867,
260,833,827,733,567,891,100,343,996,881,744,952,961,950,609,031,496,199,699,
586,478,205,866,997,949,566,178,856,926,964,518,536,829,652,192,258,939,324,
515,685,388,043,749,540,430,386,968,648,764,350,867,283,112,831,349,359,706,
160,782,819,201,952,556,043,487,973,146,485,301,433,840,172,412,617,818,895,
553,990,819,779,006,665,525,572,761,705,589,876,901,170,883,209,306,150,190,
472,450,232,902,452,113,740,514,282,484,690,032,991,338,302,270,220,219,615,
961,450,358,645,347,781,152,205,492,008,454,916,127,910,279,907,328,586,519,
868,833,365,868,968,900,103,469,128,089,036,227,655,488,242,573,751,451,557,
304,748,238,259,421,486,998,633,978,906,276,407,282,430,916,315,901,237,872,
099,019,389,818,863,765,691,013,436,871,493,752,712,448,885,083,706,437,024,
369,268,667,317,090,032,005,907,066,982,039,175,967,548,730,509,641,000,335,
570,889,315,813,391,102,975,519,825,049,301,879,243,434,309,235,082,568,607,
229,550,833,557,726,314,249,832,942,412,461,562,942,096,298,685,209,580,367,
348,010,080,221,377,250,042,210,866,145,700,382,828,881,718,040,926,203,317,
995,188,512,723,529,281,692,474,445,582,290,300,732,179,494,234,537,050,227,
651,604,550,503,285,753,571,868,889,085,167,840,304,245,350,085,602,867,598,
472,939,675,798,131,770,365,641,793,139,653,278,928,223,616,637,862,566,481,
548,663,783,921,660,983,726,236,951,951,866,379,448,014,147,870,977,733,788,
110,106,573,174,939,047,557,166,173,395,717,421,076,385,590,498,916,156,340,
722,045,391,595,179,026,313,284,002,750,488,588,013,608,794,854,075,855,843,
465,177,782,807,229,127,949,523,664,265,241,064,303,447,198,955,275,147,192,
173,886,597,751,363,420,533,722,479,236,987,209,458,066,605,552,534,070,596,
586,057,757,227,884,240,730,312,809,970,853,274,594,220,199,255,855,589,413,
412,753,789,883,335,558,556,927,727,093,244,495,339,462,952,332,354,432,634,
266,608,219,179,418,991,345,810,913,638,580,053,486,194,696,822,092,638,160,
687,600,840,824,452,981,904,647,473,104,039,391,962,706,448,055,543,860,957,
693,075,026,192,487,439,203,444,417,984,341,104,999,608,131,712,402,365,805,
940,382,706,312,268,887,776,595,677,982,541,999,635,225,785,872,107,959,887,
346,945,785,288,794,803,273,588,364,812,161,123,520,657,517,229,190,503,926,
609,739,835,954,265,139,486,391,239,159,378,112,442,426,265,007,165,832,597,
700,813,121,288,173,731,968,463,947,319,100,955,933,470,506,535,751,233,178,
389,583,887,106,574,959,822,738,748,509,917,213,755,554,654,233,187,000,231,
067,597,930,720,309,321,492,237,004,184,866,940,600,149,304,456,509,243,536,
971,443,913,530,415,596,199,661,152,108,246,890,961,546,995,541,517,290,087,
125,788,955,430,070,947,285,008,089,063,045,969,410,226,806,676,043,284,371,
720,161,606,233,472,064,601,403,743,615,590,061,904,005,550,744,752,205,675,
037,741,622,383,888,776,192,981,647,988,949,340,375,756,742,385,386,160,603,
106,164,718,918,732,714,667,724,736,501,287,625,613,287,320,828,284,095,570,
507,479,900,901,268,300,330,605,801,757,956,871,405,866,235,573,485,449,479,
617,098,206,513,639,628,555,063,460,961,047,508,609,035,806,819,695,535,915,
825,802,069,677,989,130,625,553,468,478,349,627,762,161,510,839,302,903,964,
621,873,628,582,879,022,415,605,490,361,521,268,529,845,579,614,021,808,201,
303,748,809,211,829,463,976,394,360,064,397,099,308,601,292,864,465,364,465,
283,556,759,224,208,153,026,519,378,477,251,470,392,251,057,791,284,390,798,
492,073,986,267,400,065,554,975,619,815,041,135,888,287,209,324,470,808,419,
382,342,883,600,080,539,482,748,545,565,500,567,061,319,647,962,719,188,937,
811,130,866,820,686,151,446,109,500,997,703,118,691,063,203,571,966,422,167,
868,008,932,893,248,120,301,689,172,002,851,698,605,965,139,939,566,384,350,
738,332,981,249,495,113,919,876,342,617,450,898,503,549,633,307,516,645,510,
949,052,983,365,850,268,564,807,195,291,716,884,430,763,247,955,583,256,650,
228,985,216,735,560,896,511,834,448,492,769,024,663,792,810,334,118,481,684,
065,154,263,095,690,228,989,242,126,037,113,144,451,617,689,266,247,311,618,
813,734,485,336,156,207,991,339,558,608,112,891,426,046,288,479,199,822,608,
570,059,242,819,605,688,412,683,878,472,370,399,677,051,500,296,700,633,215,
748,592,441,062,714,619,829,490,427,186,335,684,908,947,765,099,735,854,028,
860,679,589,514,704,813,781,472,543,380,509,288,332,287,241,593,935,490,559,
521,048,033,057,627,153,003,150,622,864,859,813,021,371,539,512,262,095,504,
097,565,257,204,370,757,237,594,161,870,150,733,967,151,398,404,519,965,346,
266,040,741,636,327,794,236,549,612,358,606,677,956,289,629,181,206,246,493,
187,535,196,044,310,179,338,916,143,820,367,529,502,556,806,124,744,214,479,
463,883,154,296,384,333,048,756,055,332,568,755,341,975,220,720,904,803,912,
354,892,638,222,935,508,979,552,622,377,679,645,666,514,727,013,440,578,725,
967,330,051,428,699,489,859,795,368,105,316,633,188,632,544,598,015,389,479,
617,605,264,594,789,906,113,809,070,960,705,260,624,497,129,474,877,600,896,
141,655,086,918,172,591,572,455,543,833,151,400,887,004,522,526,106,038,392,
925,563,883,602,852,668,340,542,844,723,716,614,570,990,030,937,245,332,765,
291,516,786,616,484,749,773,140,616,137,095,457,603,609,713,589,788,536,971,
366,870,745,881,387,729,659,671,099,795,998,834,852,185,451,191,371,073,588,
868,326,006,344,303,726,315,121,326,568,972,005,744,277,990,400,555,242,749,
565,104,395,656,266,847,665,661,790,903,317,335,836,181,079,224,864,350,172,
485,380,437,045,032,665,455,245,312,763,697,468,413,939,147,296,914,780,237,
902,351,216,227,353,811,850,588,300,159,062,608,804,586,131,379,207,591,280,
644,734,118,096,110,442,353,751,892,434,864,790,724,611,393,016,056,885,451,
378,323,669,475,866,099,604,786,581,687,660,385,321,434,278,466,535,289,371,
111,113,722,108,173,213,249,337,608,885,348,304,383,502,760,008,538,840,615,
226,066,221,647,515,485,996,001,575,134,317,323,662,464,054,479,183,483,253,
669,838,567,170,184,873,494,118,961,743,590,258,551,129,570,788,934,504,587,
152,086,330,327,227,018,580,692,515,544,258,743,747,635,802,745,789,891,946,
643,874,944,194,546,545,445,828,274,001,886,823,213,636,757,035,915,110,994,
875,550,320,042,902,302,311,186,216,380,715,236,931,143,656,076,789,912,266,
340,827,559,465,411,339,177,914,939,380,579,366,223,878,339,594,660,435,626,
813,082,803,122,180,042,624,205,854,350,088,496,284,652,877,617,796,600,891,
806,738,313,157,973,846,017,247,272,555,665,487,041,638,552,814,827,578,376,
250,987,205,748,801,517,053,953,163,483,012,728,109,580,559,576,427,896,378,
171,302,729,959,550,123,242,496,428,607,379,255,899,459,939,876,177,249,953,
378,716,959,809,446,743,230,835,455,020,801,534,294,237,360,495,375,511,129,
035,316,874,092,990,846,529,280,571,502,561,172,859,084,037,565,957,263,739,
199,838,629,746,506,631,226,201,322,065,083,859,694,672,743,159,772,292,527,
594,888,497,975,564,930,715,053,577,033,472,463,305,440,776,761,380,476,768,
407,981,929,980,476,118,222,018,433,439,490,773,104,743,181,955,132,801,233,
669,323,863,564,243,526,386,147,036,745,732,695,174,897,435,523,265,761,488,
631,586,278,565,602,480,103,604,572,617,343,499,556,831,622,582,362,236,539,
661,104,166,476,372,510,521,100,447,878,981,269,212,385,261,856,065,973,316,
430,504,089,734,147,631,350,498,016,444,622,239,997,677,868,387,384,262,687,
421,918,210,362,468,907,984,409,237,158,382,150,632,020,426,988,525,886,792,
637,990,716,619,730,046,423,956,760,550,476,859,955,047,630,948,221,172,852,
509,013,626,671,618,965,494,370,521,700,475,485,237,545,752,820,315,997,524,
002,303,141,950,832,276,143,322,713,350,648,707,532,597,859,043,081,156,635,
405,487,032,428,084,942,972,722,379,516,300,569,128,023,202,217,436,638,569,
306,912,433,414,875,925,294,634,842,369,144,910,392,840,836,880,029,365,993,
605,294,055,303,546,261,040,648,250,882,682,678,951,909,922,577,187,136,798,
555,076,742,939,474,732,506,893,291,000,400,550,444,423,729,966,488,605,744,
204,002,272,483,388,219,963,611,345,957,222,206,184,026,040,503,571,126,019,
860,347,109,982,373,644,664,647,631,199,173,570,629,644,684,221,395,569,107,
874,699,035,646,022,164,683,766,347,625,524,053,392,291,580,769,243,262,604,
907,177,330,890,822,310,852,667,960,940,932,325,212,460,474,083,439,163,273,
852,971,843,734,454,311,281,482,144,802,731,257,226,007,981,069,208,051,659,
727,808,828,851,828,515,736,768,110,120,280,637,296,294,741,575,385,972,598,
808,842,366,933,238,218,862,469,122,522,660,517,301,191,458,649,939,060,393,
224,666,032,598,570,891,706,031,947,814,952,343,883,605,069,728,554,320,870,
738,218,605,724,919,074,905,210,189,540,535,254,838,930,836,681,922,167,355,
628,823,269,978,358,788,708,188,924,852,728,772,748,508,413,741,047,342,983,
572,220,162,453,404,747,137,494,845,283,664,292,276,385,022,677,123,331,374,
406,779,757,709,074,935,082,753,240,434,431,563,283,225,502,679,736,663,654,
274,019,013,087,506,315,939,169,132,304,817,735,942,799,727,942,386,225,310,
314,438,468,898,127,012,390,831,449,848,813,572,499,280,084,293,660,882,934,
008,542,272,360,768,644,540,954,569,321,470,815,041,110,773,616,367,761,076,
732,636,363,309,072,321,940,533,207,199,775,824,708,372,863,960,149,018,789,
672,279,950,871,223,138,171,631,284,323,711,179,227,326,719,070,433,735,398,
720,116,672,474,924,379,179,916,928,054,739,417,308,689,893,068,849,145,834,
194,122,337,019,759,593,799,166,044,734,858,257,722,396,674,028,522,394,357,
772,166,581,536,927,692,279,711,119,074,908,723,710,102,875,303,269,035,760,
174,706,526,718,852,173,938,822,669,934,372,882,051,024,173,784,791,016,073,
792,776,401,767,180,294,337,407,043,108,940,880,654,169,662,800,939,329,234,
861,339,790,579,255,449,308,324,697,425,275,623,838,781,891,967,297,636,049,
405,767,439,889,695,873,880,082,639,816,192,008,993,930,967,032,817,801,554,
014,055,290,262,511,779,808,878,698,256,451,468,774,747,758,646,164,757,005,
097,998,600,437,053,064,862,490,737,878,313,800,612,499,113,475,484,217,820,
500,811,749,317,678,624,288,512,705,048,920,225,717,476,207,316,530,525,030,
596,922,641,595,113,282,789,375,811,223,339,493,644,833,154,890,194,332,311,
725,388,188,279,905,774,791,588,414,597,076,258,292,323,023,528,068,753,691,
253,542,040,505,131,054,506,352,288,680,086,926,701,784,744,698,792,644,175,
563,585,808,028,146,745,615,130,978,098,614,134,609,174,079,663,089,568,598,
048,484,982,843,513,618,089,064,689,611,774,850,768,657,029,886,454,980,499,
492,017,618,226,224,537,954,486,610,776,850,991,107,445,553,972,127,164,132,
565,154,113,313,791,040,277,403,384,201,854,473,578,046,809,807,568,885,518,
188,685,179,210,064,073,078,161,715,030,516,634,313,431,047,548,909,254,406,
496,697,622,349,452,394,063,701,800,512,501,977,168,890,920,602,617,524,731,
268,538,221,065,778,744,501,679,299,865,759,752,519,276,659,848,961,934,034,
231,922,657,970,305,121,506,667,176,488,681,239,739,273,036,570,928,969,288,
217,558,750,681,011,563,776,619,074,859,752,140,331,983,912,785,233,059,520,
452,733,398,522,701,749,738,535,530,056,050,500,160,829,917,116,817,289,376,
913,655,587,868,567,315,443,732,657,763,996,921,129,039,032,815,408,096,088,
163,154,289,281,339,930,819,165,087,449,637,989,920,919,213,112,092,333,932,
196,808,457,939,575,126,934,155,419,399,695,051,509,015,527,228,585,580,107,
077,840,658,210,355,354,427,997,547,428,021,478,218,829,550,179,174,057,623,
482,855,046,409,115,989,579,748,740,419,783,430,375,360,899,125,548,705,675,
453,312,473,090,963,468,356,181,404,507,338,361,189,414,749,734,761,083,902,
393,267,062,914,233,242,578,496,304,452,979,502,606,339,621,794,814,906,601,
477,451,834,283,117,959,973,734,053,083,036,175,457,536,018,891,788,784,872,
470,245,224,208,856,006,471,254,875,037,729,857,514,146,159,689,653,700,786,
878,831,590,511,855,794,746,757,064,602,745,377,774,775,802,450,984,951,456,
589,054,120,570,411,050,334,849,927,852,601,262,767,864,167,895,081,659,349,
827,711,929,152,020,706,491,112,932,747,388,198,929,156,030,453,519,218,102,
514,666,925,117,386,059,242,203,205,915,818,585,974,219,454,355,455,899,820,
750,471,391,793,011,249,064,957,903,620,750,257,341,029,743,942,711,234,116,
549,923,364,846,307,542,559,877,488,715,501,999,262,926,676,150,483,303,505,
037,612,396,544,292,375,267,824,091,360,796,516,796,917,166,313,723,130,943,
732,097,827,472,153,670,580,831,138,080,532,091,609,218,040,128,029,101,936,
362,813,984,366,345,969,858,296,707,577,239,786,826,510,321,918,152,108,729,
669,844,907,924,080,063,571,067,844,688,671,225,849,125,181,374,909,657,408,
769,608,688,438,972,283,841,518,794,524,679,977,784,610,409,838,970,934,741,
904,203,893,570,297,092,251,810,029,639,480,297,112,426,844,247,098,975,589,
834,160,091,401,397,925,101,663,633,779,530,064,068,137,443,387,045,068,143,
698,111,165,942,620,305,080,591,132,907,053,329,860,576,006,192,305,066,060,
542,726,093,018,583,239,583,568,126,769,496,230,837,008,891,459,924,535,251,
535,475,584,296,279,625,580,449,784,608,809,849,776,949,694,138,403,019,357,
795,971,708,644,706,672,482,215,986,256,369,372,207,727,656,688,908,713,736,
278,515,553,008,937,970,486,207,055,188,928,453,140,081,214,559,581,218,114,
488,019,092,940,204,459,118,519,605,787,170,268,549,289,959,115,821,188,536,
065,227,487,251,047,896,392,113,625,102,532,517,109,490,802,493,350,691,506,
156,557,492,720,446,056,419,895,625,253,721,508,910,928,926,886,855,375,251,
266,324,682,736,758,393,362,673,398,296,185,098,197,401,207,284,865,691,147,
195,457,078,169,550,023,731,431,035,040,577,692,688,788,623,868,863,586,987,
026,313,744,088,752,771,409,697,852,756,635,724,320,354,941,121,610,461,430,
203,968,449,591,155,122,629,964,494,384,518,360,669,602,073,617,802,156,468,
623,518,583,593,277,118,738,149,324,266,210,950,195,773,926,395,584,997,399,
313,842,635,590,398,532,331,774,582,348,635,781,546,214,493,081,344,790,419,
331,637,908,621,580,045,393,408,858,862,077,097,699,328,559,562,320,596,133,
378,008,341,662,171,327,442,896,089,787,745,390,093,620,734,789,003,402,357,
748,584,738,448,977,410,733,301,480,927,987,376,033,136,990,276,341,991,601,
063,841,523,635,735,370,869,589,629,045,866,072,227,817,033,500,460,494,378,
224,916,376,811,854,941,558,898,599,898,496,629,763,564,129,102,480,451,416,
673,642,644,147,534,654,799,294,596,894,178,933,665,209,351,832,872,196,309,
592,572,376,186,971,415,099,989,802,887,859,449,816,651,507,256,529,411,168,
501,169,716,681,970,430,606,908,574,470,644,219,588,113,144,785,625,217,626,
282,307,453,054,685,246,241,964,768,760,930,908,280,372,475,501,432,982,360,
420,232,644,263,990,482,824,257,538,501,252,283,708,852,650,205,770,648,346,
489,741,991,166,273,610,821,448,348,744,557,283,985,671,933,493,337,714,923,
170,111,508,328,645,003,047,120,700,274,217,995,387,171,191,012,069,187,808,
506,111,245,851,425,681,789,115,098,176,318,534,914,984,569,011,088,232,362,
669,680,301,707,760,141,732,619,870,319,949,088,492,308,487,775,092,814,339,
042,428,725,969,443,927,189,338,219,709,015,391,802,570,930,199,555,387,539,
014,183,176,621,393,437,399,108,470,677,405,621,484,943,164,388,794,672,896,
290,185,933,143,287,508,126,590,521,219,785,686,530,677,973,528,906,763,009,
882,753,340,876,531,541,587,557,880,217,243,945,330,362,984,915,974,518,503,
828,030,217,952,046,381,668,280,897,065,248,762,320,349,402,340,651,564,011,
817,659,918,161,937,379,324,035,281,548,547,187,843,634,485,539,748,474,360,
122,830,740,356,335,238,597,165,904,928,811,970,843,478,298,865,993,514,474,
218,553,454,366,781,064,592,120,806,521,491,343,555,398,840,605,976,369,849,
993,889,679,821,252,624,143,982,698,046,965,887,354,705,826,161,354,510,778,
801,164,576,622,837,307,351,492,441,634,048,762,987,102,412,265,667,550,421,
137,116,313,457,266,696,355,789,693,010,101,663,994,365,331,049,866,880,533,
847,088,315,642,672,780,649,477,505,879,886,279,737,456,834,196,893,314,967,
906,893,176,390,397,518,938,743,005,266,735,038,042,090,291,228,026,511,548,
137,407,669,723,435,479,002,526,712,104,840,499,790,649,783,391,524,345,317,
298,809,572,919,995,072,558,889,431,672,189,280,523,840,580,108,734,047,421,
784,911,619,959,016,214,791,557,204,476,467,239,606,561,279,072,732,360,665,
152,511,145,580,715,688,031,447,851,249,751,709,252,361,203,150,293,087,312,
319,990,724,925,434,649,243,408,907,642,893,606,019,913,878,238,168,830,460,
783,898,532,188,018,882,446,010,740,726,792,119,676,404,264,267,290,296,684,
421,430,057,630,016,794,993,339,681,513,196,851,759,951,821,002,212,259,258,
699,527,082,780,801,715,062,165,344,671,500,734,785,974,612,493,034,022,431,
509,739,055,647,685,781,927,475,757,530,092,760,255,186,084,275,635,950,788,
283,567,501,612,561,652,259,635,574,195,411,244,699,071,896,189,797,650,762,
341,249,202,204,898,907,206,821,768,294,563,609,130,043,144,408,648,627,573,
316,787,102,290,806,573,686,513,902,039,921,822,565,227,703,540,391,057,010,
621,735,512,819,429,407,099,738,229,817,129,371,329,684,195,130,613,626,509,
879,653,709,421,105,015,492,702,080,773,498,761,700,590,243,237,236,607,378,
328,108,692,554,150,507,240,264,335,490,203,479,759,413,053,636,558,604,299,
657,128,129,523,243,169,005,936,475,509,694,910,900,345,947,664,558,139,403,
134,050,304,296,128,511,714,176,600,270,670,010,428,971,540,103,338,959,335,
247,130,011,784,011,891,583,015,754,478,587,554,691,919,433,590,470,754,330,
050,728,838,351,413,377,940,781,135,336,227,077,193,039,700,338,133,944,263,
133,295,082,542,004,344,825,858,266,451,230,508,621,450,636,410,761,496,648,
357,460,626,350,489,218,173,417,233,549,855,792,415,551,377,875,021,155,925,
289,986,056,792,164,117,426,410,226,040,926,483,911,554,486,737,266,286,627,
326,088,719,703,400,536,266,108,335,872,046,273,715,558,774,584,490,794,092,
324,625,261,993,387,184,902,027,520,959,662,013,942,823,208,725,618,397,482,
140,943,603,887,864,759,282,880,662,616,462,467,335,480,461,264,462,125,376,
498,955,567,481,853,598,371,512,479,910,927,103,251,619,410,325,481,343,875,
802,986,681,142,387,320,670,726,893,166,006,501,584,500,818,968,218,515,286,
467,918,201,938,618,325,701,925,893,780,637,529,603,973,515,454,541,981,280,
972,252,894,025,111,196,037,585,947,833,010,674,433,313,005,713,858,661,478,
490,880,064,953,897,663,538,388,776,081,977,856,692,269,945,027,540,018,572,
707,131,520,396,848,120,759,285,896,099,367,251,845,795,859,935,742,634,520,
834,194,852,268,330,222,782,521,356,085,901,451,330,876,329,858,223,709,803,
557,625,216,516,880,901,690,560,251,128,659,280,382,818,543,953,944,310,181,
015,114,282,224,461,525,721,567,595,885,638,001,628,953,888,114,451,998,423,
681,809,141,436,020,721,856,703,708,123,729,570,063,956,161,875,944,898,501,
666,556,814,508,564,454,390,271,987,648,182,329,682,025,637,502,364,881,113,
851,630,862,774,639,220,054,063,262,413,162,686,930,436,039,928,946,795,568,
052,028,309,728,212,890,971,083,295,477,645,056,346,591,120,535,687,024,232,
490,077,033,939,455,672,725,290,153,041,135,388,799,648,900,063,172,852,662,
625,395,138,754,708,339,781,680,525,706,671,565,434,714,711,064,486,370,565,
725,326,083,810,261,867,575,530,975,665,490,635,582,276,420,242,317,925,724,
787,297,465,635,545,012,461,384,968,532,447,343,427,311,451,101,291,000,894,
905,473,531,212,810,623,778,768,774,064,602,680,383,707,267,892,946,542,699,
682,683,144,700,994,869,009,087,410,211,820,705,887,698,586,028,303,824,103,
102,529,268,801,584,728,625,045,945,362,659,824,611,804,264,280,538,014,843,
175,011,029,803,603,916,636,770,689,771,041,907,002,454,662,666,516,360,891,
430,387,845,339,188,671,100,144,185,337,632,668,473,877,859,890,604,142,445,
877,256,351,531,614,020,795,021,220,596,862,992,591,724,273,323,966,158,019,
491,125,503,818,879,807,791,262,286,304,699,482,519,054,876,251,932,680,579,
477,353,300,870,038,845,866,269,183,419,863,201,235,409,215,863,020,815,658,
440,528,868,981,858,102,748,800,363,959,076,278,498,370,770,106,162,346,900,
810,732,604,669,855,801,873,909,900,978,333,839,462,755,550,679,629,707,185,
119,712,372,465,267,258,698,232,055,815,355,126,069,488,869,143,244,835,965,
746,754,623,813,058,599,962,501,248,527,483,859,305,825,347,118,559,535,794,
607,821,442,654,318,569,984,195,913,337,012,291,304,137,916,096,468,277,175,
701,615,057,771,291,413,564,441,075,461,488,474,876,120,903,162,747,655,697,
866,465,443,695,341,281,974,434,234,463,766,543,793,487,701,736,691,752,778,
887,961,738,990,801,980,122,525,219,142,670,775,219,625,933,661,077,687,643,
959,351,338,040,424,633,315,845,779,916,156,374,492,300,143,463,051,499,545,
632,091,361,125,731,026,687,672,277,117,341,484,004,890,363,439,333,608,888,
780,851,477,982,137,255,883,480,197,493,230,101,084,825,511,832,019,583,644,
263,118,571,164,449,658,168,885,336,581,872,853,496,495,028,235,548,749,310,
389,717,189,382,366,825,554,333,249,601,215,533,940,409,808,736,900,545,061,
888,540,399,028,993,069,879,083,759,671,780,918,006,540,516,370,633,865,793,
838,819,020,372,855,569,219,835,990,860,618,510,047,346,625,599,015,057,454,
979,426,296,617,399,740,801,449,462,345,814,903,117,289,220,639,062,779,977,
863,297,362,368,378,524,645,561,309,948,572,124,206,420,598,734,578,609,809,
230,670,093,498,907,015,427,730,634,623,658,459,183,444,312,662,782,216,983,
619,508,113,747,458,197,658,742,268,100,920,934,842,592,070,536,521,314,561,
326,537,244,439,752,905,240,653,637,875,532,159,014,059,599,586,267,148,909,
820,764,525,446,158,071,870,020,206,252,535,110,754,138,557,112,961,098,123,
528,791,329,977,224,390,711,824,557,782,446,203,801,855,878,285,279,476,028,
552,068,800,868,245,159,774,575,708,678,561,896,724,298,732,245,230,357,354,
461,072,786,386,178,078,148,266,669,891,858,962,086,407,450,066,170,672,006,
719,728,991,268,503,997,729,267,091,712,932,249,583,163,098,169,818,339,400,
395,817,100,004,847,937,874,486,313,513,707,305,571,260,407,271,964,615,201,
385,825,519,518,174,393,528,079,052,819,422,665,650,667,684,008,623,960,659,
311,968,109,155,244,178,790,113,888,678,395,265,836,083,120,559,192,141,600,
436,106,409,159,272,668,452,587,345,666,051,256,521,651,536,257,858,861,392,
974,832,370,237,554,467,375,879,813,069,267,664,910,542,032,972,776,338,283,
107,739,174,391,154,456,679,784,970,011,659,638,149,721,071,063,635,875,649,
441,127,120,810,908,995,685,492,311,229,361,423,081,518,335,033,882,034,108,
193,080,792,967,223,313,859,231,925,964,399,967,839,117,872,718,446,873,453,
753,540,375,538,698,491,763,685,203,362,813,773,710,141,284,880,195,363,691,
654,937,191,544,229,409,974,560,062,180,047,200,084,801,455,637,036,209,443,
305,260,050,508,386,829,915,704,010,671,801,183,442,467,859,845,968,916,143,
794,810,857,441,294,330,453,995,103,727,561,222,588,332,918,776,787,287,363,
699,701,047,395,449,087,675,141,849,884,923,879,507,722,485,726,614,469,453,
876,977,664,096,904,846,927,307,001,165,776,759,659,734,798,809,791,068,391,
585,251,746,788,034,987,298,747,676,292,712,886,442,059,888,488,659,001,265,
085,313,120,737,859,707,497,096,756,307,254,386,400,037,583,425,946,065,755,
588,322,061,492,711,535,321,455,116,101,940,975,565,619,928,506,503,073,257,
591,790,205,326,268,633,430,874,936,450,169,246,005,515,042,249,690,156,097,
702,779,352,482,389,095,629,857,333,007,913,266,246,042,106,436,612,623,089,
865,253,151,295,145,870,175,621,008,013,949,926,021,125,507,235,265,619,451,
717,309,695,802,619,480,439,261,240,838,906,819,905,394,474,175,827,440,233,
166,042,072,224,933,995,622,701,040,670,193,462,512,763,102,603,264,821,723,
028,847,300,765,716,317,072,705,268,034,410,905,113,550,404,512,497,533,760,
967,550,618,774,892,620,794,507,996,044,002,929,622,272,213,617,702,310,039,
108,913,830,286,695,840,166,776,654,855,774,801,775,941,005,968,232,211,928,
258,782,887,815,599,038,969,870,691,833,862,185,541,076,945,987,910,214,193,
224,873,371,921,915,934,929,296,276,426,641,889,548,958,090,458,008,935,185,
406,020,455,237,297,470,026,968,909,352,600,965,992,964,565,523,589,755,112,
646,339,625,446,682,185,764,048,420,221,480,602,473,701,119,485,643,710,719,
886,667,854,564,828,764,746,428,565,903,422,400,231,203,982,678,436,712,593,
424,480,953,371,126,993,879,266,693,170,027,808,498,844,596,554,439,713,822,
037,793,953,899,012,994,058,123,592,831,099,391,943,498,098,304,522,076,188,
859,210,793,014,402,615,727,303,688,477,119,120,434,627,649,680,035,293,639,
528,392,666,488,457,634,474,377,519,031,301,377,828,341,542,315,330,332,933,
141,838,963,033,028,934,938,140,377,228,327,672,688,804,504,666,450,751,077,
830,344,674,398,622,584,333,445,878,313,461,812,848,993,089,033,649,178,007,
264,833,768,130,231,267,389,136,979,256,933,312,831,918,222,784,349,312,416,
894,653,258,086,702,309,302,037,167,313,653,581,075,739,768,284,368,162,532,
979,072,496,262,775,329,469,424,853,460,630,508,534,905,181,174,147,078,753,
833,834,932,309,982,779,960,152,298,381,449,434,856,496,650,660,366,703,449,
898,874,515,228,833,913,587,998,163,790,162,027,732,844,239,720,912,797,351,
007,242,350,565,796,723,161,277,770,208,583,536,816,919,287,902,333,087,330,
295,695,979,866,044,757,272,571,453,921,147,181,826,373,294,162,424,198,116,
225,161,545,376,078,624,565,829,985,882,917,385,180,908,180,520,311,445,809,
410,091,114,724,186,826,918,940,785,816,998,075,788,177,235,629,742,388,736,
306,767,354,331,917,916,165,458,666,197,808,537,892,127,325,817,130,196,893,
082,378,878,056,443,219,886,644,655,905,553,271,455,716,112,803,316,153,622,
754,379,486,913,202,687,171,970,036,059,080,840,430,928,270,260,596,867,564,
539,607,152,254,340,701,827,258,624,399,000,535,186,089,922,236,988,892,699,
091,307,572,578,898,062,886,551,229,969,192,171,810,862,308,192,122,764,462,
373,875,005,678,341,076,270,532,039,664,858,172,006,455,565,016,266,680,259,
467,985,945,979,724,430,788,185,205,809,285,152,510,255,950,030,259,179,733,
286,108,667,986,929,270,859,488,682,637,898,688,465,736,020,827,302,882,838,
625,252,251,811,808,846,712,597,906,444,702,739,784,699,189,396,707,607,391,
085,419,053,755,233,612,952,717,946,281,779,491,268,548,177,218,595,019,713,
561,912,436,103,446,493,552,596,504,026,450,421,634,691,678,733,422,823,647,
302,436,244,323,582,190,089,877,503,764,741,828,805,554,888,820,123,131,830,
569,236,491,743,794,262,408,316,711,918,581,511,394,283,895,739,623,506,228,
990,064,683,499,860,258,500,163,174,125,601,682,590,102,312,358,935,099,785,
208,222,243,991,772,965,993,692,197,470,152,142,768,546,990,117,623,988,825,
131,321,637,293,044,887,223,636,286,802,242,174,937,202,568,559,901,911,630,
248,385,941,819,602,419,607,370,047,178,728,027,571,534,108,691,572,068,714,
075,816,116,503,034,511,396,767,790,306,023,829,573,007,174,078,435,380,636,
661,979,302,440,524,127,186,236,524,585,205,043,340,637,756,316,960,878,339,
232,579,037,573,408,591,042,374,582,135,816,263,548,449,122,270,111,379,769,
723,801,356,054,572,044,534,599,130,571,329,250,878,613,342,952,484,661,874,
794,451,004,947,657,559,988,930,952,278,989,982,202,672,068,767,699,021,896,
595,115,487,395,619,674,136,617,372,958,754,449,856,797,768,983,696,827,296,
072,645,564,515,595,259,132,910,767,018,595,080,965,281,661,647,239,968,536,
636,122,418,618,905,255,353,945,738,612,448,489,453,355,035,200,153,660,857,
585,228,810,325,299,718,194,218,727,136,920,658,278,788,738,366,903,763,936,
143,116,411,292,583,834,745,053,420,885,379,878,566,246,257,154,430,266,878,
402,203,174,116,420,188,473,112,830,385,413,191,425,588,451,798,768,522,585,
866,586,342,867,079,320,714,083,412,391,346,896,581,232,394,433,617,812,668,
447,722,818,872,461,598,386,608,380,002,752,797,468,786,816,149,639,691,788,
611,872,549,402,021,635,088,858,101,231,819,038,864,925,060,902,414,919,073,
039,505,397,416,966,565,580,004,024,351,503,801,173,544,530,584,205,824,991,
169,873,580,783,111,535,526,518,386,703,324,704,721,819,703,692,154,651,430,
359,912,883,572,736,779,006,189,223,330,855,019,895,876,229,564,127,456,741,
189,582,710,925,671,407,397,628,853,880,999,103,896,235,709,507,968,112,829,
338,465,025,572,603,345,851,670,429,036,296,147,721,699,529,757,581,033,044,
701,586,909,927,833,284,910,589,248,823,581,465,743,186,127,981,895,262,138,
833,530,509,050,047,211,915,831,482,651,105,349,922,404,695,400,480,198,026,
840,162,881,471,421,930,432,146,469,738,626,183,076,770,867,804,655,873,556,
511,471,190,254,977,023,731,152,119,842,512,886,013,942,904,028,253,304,762,
360,111,364,730,134,802,514,620,823,028,419,525,577,724,091,395,991,707,250,
020,091,281,959,000,887,302,754,028,488,951,869,889,877,586,501,470,568,270,
841,328,293,348,991,959,119,525,807,715,356,919,087,072,611,129,198,767,016,
067,650,618,369,116,250,313,041,926,880,749,463,697,561,074,301,041,758,790,
851,356,286,945,929,422,459,607,777,583,038,759,806,891,566,426,400,107,559,
632,409,329,190,391,471,083,935,148,044,345,891,837,837,668,325,341,320,500,
995,056,424,951,323,566,677,755,111,185,655,313,724,663,639,970,761,993,761,
953,196,755,505,137,187,616,672,358,154,959,660,436,258,861,220,705,152,187,
482,656,724,082,892,137,606,073,857,437,066,798,379,210,413,364,974,321,150,
349,246,994,940,986,106,736,632,914,624,747,567,470,173,317,700,248,642,081,
836,477,070,477,764,863,928,107,433,436,942,536,885,548,178,628,134,347,899,
505,101,781,466,945,148,639,897,106,150,786,804,188,906,317,512,664,235,069,
169,299,546,506,386,707,897,490,549,332,463,443,279,740,768,828,586,325,319,
964,699,435,890,481,352,554,768,265,946,230,525,885,152,454,597,355,439,069,
825,457,536,319,649,675,405,513,862,739,585,155,101,004,397,361,247,904,962,
996,835,300,986,093,697,443,953,188,794,029,727,217,877,689,814,546,057,068,
108,823,657,345,870,586,779,471,854,662,779,448,034,967,319,723,631,122,483,
653,657,886,141,817,999,547,552,990,443,080,197,574,220,223,577,864,877,048,
908,347,568,129,235,021,189,722,186,574,589,665,131,629,357,952,958,076,100,
702,906,384,029,161,284,099,263,435,968,224,119,608,633,619,070,763,898,356,
004,718,575,213,969,163,899,711,280,038,147,547,050,506,945,978,495,287,709,
100,111,595,986,684,099,128,688,518,878,328,440,168,653,850,086,906,067,593,
698,150,335,532,835,217,493,358,446,177,068,729,019,462,190,783,984,564,518,
086,487,691,202,262,266,903,938,078,908,017,931,498,813,975,437,085,799,055,
124,405,906,659,826,752,993,052,606,193,053,444,830,884,825,702,237,961,178,
397,083,314,054,566,298,271,459,003,785,491,455,342,927,811,822,711,236,246,
365,960,617,081,440,699,931,823,129,555,313,294,343,544,713,215,816,193,719,
423,892,944,387,952,383,530,243,540,187,003,390,306,651,478,304,304,328,507,
091,716,913,406,025,311,569,269,710,169,344,627,246,168,312,285,677,741,764,
785,349,447,429,819,803,088,182,911,458,197,072,933,713,959,759,374,260,978,
598,029,935,979,292,178,506,131,140,570,222,233,507,980,988,756,233,517,014,
327,942,280,429,327,897,994,983,961,151,285,307,658,319,983,705,239,722,843,
129,867,174,575,630,304,536,818,021,209,763,425,411,453,166,996,058,303,528,
981,164,204,079,955,576,401,051,086,950,735,361,939,873,005,474,039,325,438,
988,784,863,323,064,854,387,712,371,709,012,852,312,922,991,209,186,487,133,
975,103,534,226,574,612,487,035,195,986,624,107,009,804,053,529,673,717,042,
224,372,756,291,215,797,959,616,202,735,574,474,865,300,321,727,592,479,347,
688,117,246,847,563,461,557,574,937,219,550,249,075,492,710,536,283,956,795,
869,907,226,652,275,935,819,755,582,380,167,723,744,288,298,899,734,326,143,
366,674,596,619,343,673,038,763,087,351,039,881,916,717,972,262,789,140,905,
716,870,245,652,142,192,449,459,902,217,007,043,985,459,235,776,080,359,890,
800,576,760,700,244,411,963,962,932,244,018,373,968,975,288,781,005,715,861,
043,402,837,077,009,858,575,065,327,681,471,912,134,234,566,862,805,141,699,
307,608,163,965,057,231,729,483,272,686,499,314,165,535,412,660,691,920,724,
720,309,716,404,582,024,718,025,266,157,519,367,975,966,545,170,402,873,202,
282,666,214,441,111,527,114,952,862,820,621,370,510,788,330,536,141,260,415,
983,383,174,069,656,510,370,434,436,770,404,682,036,950,813,157,212,368,311,
679,265,974,086,340,525,393,688,336,438,545,052,448,974,554,262,145,066,960,
395,370,996,968,379,789,400,121,573,436,078,978,889,103,060,423,458,766,573,
709,898,284,351,104,601,601,795,901,733,623,305,767,045,107,457,891,260,211,
427,858,843,245,535,538,464,252,338,587,942,897,411,481,651,360,781,708,848,
244,121,650,881,547,171,637,232,288,594,780,443,138,324,249,072,090,033,002,
204,628,976,796,374,386,730,782,369,370,339,763,335,180,904,228,714,803,462,
143,687,255,719,535,783,716,598,332,315,935,322,971,294,350,662,553,403,503,
069,192,037,422,512,061,500,723,779,150,357,754,974,589,593,456,396,109,285,
860,727,039,727,911,909,140,876,978,582,601,515,533,028,453,954,662,102,686,
019,604,972,335,687,244,094,447,239,446,945,617,242,054,730,123,633,983,342,
730,424,765,366,487,564,422,713,143,372,339,030,931,463,804,870,523,882,073,
858,842,838,434,524,205,882,239,135,237,922,522,553,873,561,042,755,999,993,
806,007,474,883,995,250,645,158,643,536,569,097,085,303,926,264,217,803,296,
893,369,588,067,779,996,687,329,551,462,973,415,084,438,231,748,823,438,564,
499,189,961,723,877,357,487,926,939,721,623,753,922,572,832,340,837,488,018,
397,566,328,862,782,326,516,935,598,996,400,462,787,652,756,453,468,471,751,
803,931,438,356,443,236,791,452,847,427,527,474,175,881,068,081,414,201,138,
552,120,141,412,258,896,668,564,958,977,210,056,374,976,282,138,883,564,372,
372,090,406,460,913,915,688,427,434,159,676,761,140,482,442,578,417,567,844,
446,579,419,407,135,444,513,309,123,928,002,438,919,594,834,855,428,842,047,
177,755,213,798,339,581,376,015,779,736,409,033,558,364,121,114,809,268,728,
801,454,978,889,517,138,833,077,144,078,272,538,745,103,966,000,153,644,592,
121,361,156,385,332,729,093,286,342,764,741,457,427,371,779,558,602,765,889,
284,396,261,415,842,850,009,038,720,077,627,443,702,568,580,346,153,765,349,
012,369,234,856,102,875,615,373,827,838,696,417,329,518,820,241,249,077,450,
816,898,386,780,233,393,930,544,077,563,219,840,741,109,230,957,273,657,296,
381,788,774,771,204,250,237,702,462,209,520,049,042,961,962,162,586,715,960,
369,879,159,071,005,887,692,299,793,016,424,738,932,716,601,688,766,928,442,
080,674,262,326,711,173,347,076,663,542,512,619,978,485,804,939,277,950,486,
677,454,944,809,656,341,756,754,695,732,310,467,318,116,586,258,013,588,244,
843,883,629,305,283,098,005,450,849,382,131,407,668,295,256,962,450,633,800,
980,654,215,642,235,107,384,520,712,216,239,415,689,446,512,321,912,772,196,
336,090,977,717,439,313,198,070,340,450,402,049,952,862,527,027,639,229,925,
704,409,031,078,395,629,065,824,001,700,810,428,403,075,998,817,743,533,294,
137,196,140,307,341,903,966,434,327,339,651,879,576,751,378,865,374,349,573,
226,453,167,634,648,435,080,001,156,768,202,206,777,128,655,666,177,779,503,
353,954,573,105,381,357,076,364,245,431,730,032,641,937,070,748,813,563,702,
266,311,494,685,319,830,918,966,788,280,025,293,672,140,272,565,236,722,507,
747,797,412,313,735,270,067,468,152,330,894,890,986,630,852,512,426,305,566,
703,033,205,041,747,465,244,331,979,542,425,954,098,300,225,730,834,027,300,
764,617,177,222,557,228,606,903,625,234,435,516,854,901,694,057,562,890,788,
869,892,831,128,189,830,588,032,989,200,546,148,469,500,190,523,915,763,629,
897,290,628,763,107,835,312,663,841,667,278,999,404,948,254,966,080,112,130,
082,811,495,167,496,640,643,910,497,869,572,189,200,750,049,627,747,830,795,
254,895,560,712,833,914,844,434,922,001,181,092,880,350,581,826,254,808,011,
376,650,248,660,901,313,174,626,443,185,433,955,693,852,444,855,647,111,476,
621,661,708,415,984,860,464,683,857,536,163,545,128,249,510,724,309,598,715,
303,920,287,462,338,718,020,392,877,030,352,035,653,134,702,567,214,147,189,
634,381,811,719,068,422,706,590,707,871,369,669,853,149,034,923,938,631,465,
206,523,360,715,374,644,467,725,595,752,566,041,285,157,111,599,459,390,727,
925,492,623,525,711,872,116,476,762,127,343,116,732,137,902,263,226,221,303,
924,681,957,211,368,187,568,104,983,921,265,598,817,739,556,207,862,233,945,
245,965,165,920,011,365,693,388,380,093,097,613,315,033,662,350,115,713,644,
498,149,013,990,325,692,457,703,663,798,359,240,129,540,239,699,816,294,809,
766,989,302,849,566,682,126,684,145,216,034,024,774,475,198,741,556,583,262,
977,215,888,256,646,180,153,448,979,443,145,577,316,177,372,036,612,152,518,
338,835,840,003,241,410,783,765,834,512,271,833,846,598,504,535,146,381,250,
810,976,033,865,727,722,294,618,730,264,856,418,684,853,787,681,130,972,945,
508,913,871,531,723,089,662,413,867,721,862,029,571,433,868,529,457,112,250,
968,978,126,857,561,273,663,460,049,280,694,788,051,216,208,394,018,167,992,
332,369,028,794,627,061,991,463,146,736,541,542,389,116,981,114,765,567,962,
263,180,549,989,633,866,140,769,722,424,805,418,908,640,847,402,646,062,493,
947,113,943,528,884,721,731,023,566,040,120,005,677,514,630,351,497,447,569,
828,728,656,058,696,364,695,248,157,935,704,520,676,365,537,151,241,521,869,
369,091,612,411,409,079,403,672,062,614,920,356,058,013,579,462,445,506,369,
409,599,161,507,836,862,236,430,483,467,292,244,235,077,103,491,376,784,966,
976,074,016,376,176,398,933,932,559,795,794,877,199,748,787,196,228,883,537,
309,321,220,072,927,998,130,835,793,605,901,361,686,694,373,665,691,896,964,
026,783,728,387,962,255,142,603,297,345,958,687,531,250,125,803,077,231,228,
418,017,684,412,405,341,623,452,897,394,455,694,181,186,334,946,988,394,412,
156,112,302,338,057,988,100,924,569,348,271,242,669,117,889,460,221,976,676,
482,119,756,691,084,853,285,280,125,446,189,912,331,928,848,854,765,451,628,
239,951,671,309,529,688,476,643,642,124,184,751,739,393,090,187,038,099,437,
207,642,810,776,104,028,822,781,136,302,517,770,306,243,997,676,570,520,913,
691,610,440,694,452,628,250,632,026,573,465,257,199,551,468,199,079,316,740,
710,779,447,641,504,878,668,019,086,669,349,880,637,726,164,840,604,887,508,
874,497,275,850,095,774,371,447,736,769,588,779,607,676,021,209,990,443,568,
646,707,774,832,760,651,883,489,172,010,496,699,523,217,196,708,657,330,504,
212,253,185,938,566,192,841,188,035,027,403,029,261,158,146,270,848,214,724,
133,576,552,964,310,305,645,256,285,983,799,729,497,430,873,981,720,472,797,
246,251,110,727,278,835,722,260,879,185,324,845,516,007,137,551,354,761,123,
370,974,122,104,509,885,663,950,439,808,533,093,167,300,242,083,014,947,545,
928,113,889,596,539,140,380,937,343,361,355,356,825,893,414,924,334,147,081,
221,888,803,626,248,218,746,921,918,055,627,798,948,624,033,089,232,191,400,
345,234,468,056,955,267,210,434,172,562,254,797,894,469,045,572,232,097,880,
777,068,414,317,773,564,998,849,248,834,928,733,049,416,833,186,194,482,835,
099,956,321,142,140,166,664,453,325,423,472,528,997,530,021,232,398,759,613,
384,828,935,059,125,416,871,045,426,367,645,003,433,003,477,050,158,734,802,
928,825,249,854,728,598,044,274,965,344,188,193,732,468,936,210,270,470,443,
741,143,088,539,733,015,655,287,538,213,851,019,809,492,881,284,537,757,614,
893,589,959,608,911,103,097,612,448,628,578,306,938,532,902,207,264,182,560,
098,269,735,120,862,772,232,048,921,773,715,526,985,370,873,484,978,077,919,
719,484,154,742,665,652,183,598,640,605,192,550,326,386,285,833,417,093,585,
532,019,269,183,821,759,943,515,226,168,495,884,432,803,167,756,207,699,040,
167,197,052,207,253,229,546,534,451,986,188,154,543,769,136,542,022,721,986,
805,748,438,718,181,661,099,404,531,602,239,585,679,722,613,926,283,370,691,
957,838,515,684,871,025,244,242,420,361,892,737,421,600,598,876,114,249,926,
752,860,132,829,844,824,597,887,265,752,920,381,067,824,053,311,415,860,921,
781,304,190,174,579,953,871,349,121,231,152,069,764,111,639,538,836,348,488,
273,037,992,941,339,076,968,760,447,654,739,356,036,107,802,582,554,927,133,
422,397,488,070,990,961,862,656,825,262,058,154,432,206,244,737,962,045,917,
855,885,448,931,480,472,183,011,497,651,688,088,913,964,402,401,388,419,393,
648,165,937,616,432,313,722,705,356,892,726,700,443,164,384,830,311,388,402,
121,688,952,155,369,211,669,504,188,414,766,476,801,843,084,681,178,805,308,
257,588,121,506,554,394,799,914,868,963,843,344,658,545,886,455,380,903,066,
046,979,424,275,074,275,775,562,531,108,293,373,970,586,781,621,305,623,464,
623,141,874,681,365,652,113,057,388,928,162,172,156,386,699,443,269,661,842,
400,300,299,315,776,433,590,528,570,485,149,593,441,649,024,737,527,544,631,
107,276,606,564,004,151,760,025,345,920,188,376,379,617,712,515,885,521,865,
094,789,365,642,367,652,721,326,942,619,581,844,073,577,076,651,232,672,266,
086,914,608,484,140,485,866,399,075,203,450,723,912,176,711,887,073,007,461,
234,935,602,084,245,896,091,459,939,430,418,562,851,267,902,389,573,800,646,
933,447,860,056,648,416,341,359,264,470,366,410,891,474,580,227,741,306,006,
223,432,279,023,299,580,614,054,358,239,788,130,794,567,243,791,379,314,844,
290,814,513,896,502,624,873,526,239,216,363,178,726,342,587,391,565,358,356,
679,400,278,400,917,312,600,673,374,592,672,845,271,023,194,582,354,389,518,
014,790,168,381,814,650,454,472,247,375,174,473,389,772,814,976,503,733,299,
153,801,732,787,209,181,393,491,253,963,857,057,980,722,113,174,811,860,287,
287,203,676,087,208,608,567,507,966,442,767,942,311,130,663,033,107,501,003,
119,329,655,148,025,545,550,876,003,608,691,774,101,248,475,319,426,170,457,
773,545,710,534,841,556,079,882,594,224,209,460,160,099,407,980,209,866,273,
817,179,671,987,105,385,363,385,411,542,267,691,442,240,355,724,635,456,377,
758,255,452,331,546,263,797,862,222,540,318,128,490,356,429,568,841,270,108,
685,409,364,737,975,931,310,935,963,131,746,811,005,323,072,033,239,803,878,
410,606,803,288,852,053,292,351,102,702,807,874,159,293,676,642,266,299,310,
306,386,861,167,995,543,429,465,883,405,528,887,924,198,961,572,162,240,059,
999,447,992,040,543,535,608,331,003,766,225,439,642,539,128,748,744,620,547,
689,971,732,681,225,740,661,058,527,468,871,495,863,663,003,814,375,022,503,
920,622,143,112,938,010,454,568,799,440,989,604,760,696,532,519,126,765,449,
366,989,096,187,730,705,504,196,925,943,842,083,305,598,785,001,363,933,564,
444,438,661,366,208,388,942,365,589,918,476,885,465,986,428,945,500,463,005,
447,090,586,588,672,162,932,630,072,638,078,898,090,708,932,033,598,342,090,
766,798,054,825,605,495,059,681,307,428,985,309,732,165,463,428,478,963,030,
450,207,570,190,740,118,173,377,206,057,943,671,153,980,782,710,494,232,604,
654,096,526,756,947,623,659,100,374,928,618,220,280,622,131,835,638,148,627,
652,413,369,575,091,237,614,150,958,888,538,136,131,325,417,668,515,870,430,
099,464,564,738,728,692,478,209,800,000,999,484,856,405,201,261,888,437,055,
660,777,403,184,699,255,348,528,658,044,413,854,886,646,497,021,772,972,614,
477,154,817,776,805,626,313,405,917,964,253,956,464,846,717,318,884,476,460,
039,925,227,272,218,079,889,397,334,306,699,844,029,742,656,605,497,898,935,
419,898,148,215,804,655,826,141,325,832,374,215,801,245,204,112,789,323,458,
840,359,092,772,645,641,015,594,504,585,004,958,331,442,497,023,771,604,282,
232,291,493,774,273,793,937,910,496,278,892,440,189,350,905,216,389,680,981,
594,509,229,831,330,792,271,265,270,645,861,871,307,327,171,904,313,006,902,
795,577,598,895,411,247,900,739,971,407,998,791,377,124,082,154,320,900,615,
489,875,732,022,963,261,457,853,407,147,496,360,312,137,698,043,094,191,498,
819,813,969,668,910,265,823,073,192,284,977,400,095,670,917,479,197,464,837,
577,482,667,977,749,554,952,148,092,384,064,936,495,960,451,224,927,185,853,
447,881,091,214,066,212,093,898,678,163,332,670,011,605,795,382,210,391,614,
886,248,699,649,183,808,624,427,625,057,287,940,465,997,297,091,293,492,977,
690,728,692,867,542,602,673,322,295,647,971,275,022,326,714,571,389,061,144,
496,386,217,597,738,491,235,554,419,366,442,777,126,629,987,988,978,196,032,
680,239,216,720,854,573,390,252,242,494,517,275,601,065,546,619,635,483,048,
685,033,664,225,880,259,524,611,441,244,939,728,825,277,402,356,586,577,866,
378,938,106,815,764,305,104,905,668,784,243,826,269,755,713,388,548,077,725,
271,757,406,020,085,996,563,773,070,504,531,951,449,832,200,890,759,628,051,
042,903,989,450,529,977,091,074,934,757,707,118,679,060,470,457,485,271,502,
197,302,519,352,271,311,445,866,314,593,165,443,072,157,666,086,335,890,280,
897,908,659,460,609,544,217,256,913,170,126,966,824,661,495,663,431,096,120,
565,509,838,388,562,778,677,804,345,722,347,427,844,294,680,123,726,643,602,
677,208,898,379,346,146,507,270,797,687,416,146,362,360,920,365,208,333,034,
607,019,901,141,309,379,592,997,270,997,342,094,269,297,362,535,215,495,194,
054,712,124,083,245,192,871,523,077,351,008,765,043,836,690,312,489,544,739,
128,918,217,363,648,958,905,485,805,857,331,838,717,453,085,221,631,410,047,
379,685,283,092,965,005,720,546,958,137,007,013,539,210,546,546,681,510,238,
135,851,567,709,154,328,268,632,793,738,047,414,598,059,134,194,388,451,160,
826,371,655,288,271,064,200,909,858,382,887,239,568,183,938,608,728,324,778,
775,994,276,432,526,385,812,373,225,353,349,398,273,853,948,098,568,334,775,
397,962,595,360,319,045,220,969,491,325,234,305,285,823,333,303,255,131,848,
692,934,861,733,554,759,407,074,567,930,340,718,539,352,677,926,950,816,115,
038,426,863,074,431,067,333,712,765,610,335,620,181,469,498,687,865,142,295,
865,012,967,281,659,887,387,947,934,612,372,102,783,251,338,735,194,157,016,
343,986,058,823,302,411,174,852,608,136,516,140,107,424,572,153,768,214,634,
117,936,007,516,131,011,453,606,020,655,013,091,698,896,146,012,868,430,909,
001,309,467,802,332,078,959,112,148,528,914,179,357,148,530,565,173,566,151,
891,652,606,763,333,995,370,411,229,415,508,212,455,646,536,595,785,824,449,
960,971,571,499,760,866,324,319,517,298,376,523,967,773,219,380,696,339,445,
374,126,546,437,786,141,591,545,488,487,265,123,342,169,328,724,019,821,723,
634,449,490,487,316,563,469,215,907,931,915,699,902,891,868,739,643,524,016,
971,551,415,787,701,166,685,480,452,286,017,666,362,317,011,120,563,119,035,
732,817,250,497,397,398,688,153,234,023,031,529,206,075,660,560,578,864,700,
180,134,216,729,891,404,667,550,669,162,238,991,556,475,433,006,202,149,928,
394,683,492,255,699,112,377,862,008,956,617,696,034,500,509,189,662,279,568,
451,871,472,883,225,279,276,136,841,259,677,723,588,824,289,201,576,763,592,
682,650,044,471,661,152,566,182,343,191,246,728,829,031,367,126,632,373,765,
915,582,665,163,936,395,951,373,652,216,824,405,133,468,067,668,713,898,655,
303,211,678,131,820,399,351,810,881,786,279,203,193,674,494,648,689,874,679,
410,900,627,860,737,004,063,054,476,873,275,946,495,910,810,228,340,409,230,
876,198,787,059,984,263,478,954,251,974,480,023,985,017,597,320,463,626,422,
971,521,818,599,705,876,473,964,196,025,859,238,043,012,376,183,129,314,247,
854,919,217,550,333,582,295,338,137,511,744,894,233,012,877,366,742,531,619,
123,534,641,011,406,466,295,373,392,520,335,525,133,601,763,111,487,207,553,
227,665,571,151,011,244,865,053,759,597,965,167,194,811,475,323,726,662,876,
868,491,147,103,023,782,800,396,061,553,907,455,808,405,903,620,434,912,220,
280,851,439,494,471,944,979,258,796,526,092,429,164,066,021,105,291,331,951,
788,789,789,780,487,234,814,926,586,330,327,036,028,493,661,710,776,600,567,
189,192,583,862,016,224,631,028,153,755,857,576,347,871,679,268,845,856,929,
441,470,772,126,283,912,281,655,497,529,572,459,730,609,731,512,239,615,118,
086,941,044,571,392,395,760,384,256,001,719,589,161,649,927,280,863,630,114,
732,355,666,881,769,631,466,154,593,671,201,672,171,507,870,230,452,855,588,
682,324,877,289,137,461,011,833,161,527,012,573,257,230,891,278,494,572,135,
202,152,241,734,608,491,110,979,777,869,788,614,021,926,623,823,417,676,199,
414,151,686,359,603,491,762,319,339,632,996,043,459,000,148,389,382,095,848,
520,539,126,518,514,932,574,099,601,245,365,752,549,825,740,513,486,852,034,
274,409,065,933,257,742,091,599,391,424,142,213,470,232,019,474,131,227,999,
938,720,769,175,814,901,156,394,767,205,511,653,925,968,586,580,986,211,149,
357,342,679,694,127,706,206,711,108,020,950,071,341,363,302,771,686,752,798,
655,551,489,937,812,438,624,226,757,067,840,456,808,264,114,014,269,206,146,
435,133,386,600,695,120,617,918,189,884,098,862,264,409,223,872,777,262,463,
341,567,139,418,133,175,001,244,418,417,211,948,948,812,273,124,092,997,640,
165,785,850,717,854,944,896,724,531,123,025,484,318,967,326,070,733,502,044,
100,735,952,806,075,848,327,171,278,132,411,492,554,211,192,416,002,987,370,
109,807,130,007,682,507,165,764,418,875,507,119,891,774,498,040,245,471,743,
568,223,976,522,918,808,473,147,690,373,153,998,157,514,853,769,733,770,066,
157,726,826,799,961,659,543,636,483,052,793,594,784,533,891,025,270,023,008,
753,732,489,870,204,021,188,980,258,121,323,607,425,374,208,855,669,030,311,
782,437,438,584,497,961,759,056,901,087,740,558,823,035,907,002,685,168,465,
256,666,117,014,517,082,690,020,949,295,218,483,740,964,000,798,762,666,711,
054,059,901,088,757,470,290,929,075,473,569,164,876,039,694,757,074,910,143,
524,425,341,441,443,226,778,222,584,089,532,386,018,379,513,710,800,407,273,
874,120,998,302,803,404,916,484,391,849,847,945,763,238,994,894,213,855,446,
735,027,335,560,773,601,996,964,865,419,344,569,400,499,189,344,139,561,806,
745,080,596,826,695,742,433,659,960,347,458,622,795,571,061,854,548,145,086,
796,975,639,437,629,034,779,343,168,518,547,902,788,850,987,418,655,980,108,
189,438,387,312,533,381,047,800,008,335,134,127,363,117,542,964,644,226,020,
030,804,324,835,779,364,599,765,576,474,908,628,190,979,036,912,877,442,014,
145,422,051,979,973,499,526,819,793,311,613,160,436,567,494,910,120,235,257,
030,688,687,939,450,990,877,185,883,389,878,786,569,505,579,674,610,442,775,
561,707,961,771,563,303,418,248,984,728,049,936,642,955,535,247,566,461,781,
521,431,316,784,138,094,332,599,826,942,174,573,608,027,887,670,458,852,198,
286,751,785,687,723,845,070,864,847,855,038,072,922,036,144,470,959,550,693,
326,740,815,758,199,653,641,617,089,253,272,911,144,512,789,118,202,110,683,
834,278,491,407,267,573,980,996,284,003,620,817,095,653,851,064,810,657,109,
291,401,371,506,438,079,407,392,829,826,432,831,129,635,633,016,052,912,242,
739,994,123,344,359,879,453,438,836,989,548,442,271,882,192,172,830,769,909,
901,408,537,223,630,553,382,906,363,093,599,566,650,331,290,994,204,663,981,
039,076,414,199,713,775,024,392,416,726,789,692,156,902,642,927,442,905,270,
284,110,406,484,056,259,888,295,615,272,948,712,269,342,042,108,825,597,213,
203,361,787,143,190,433,890,205,189,874,355,769,507,890,218,063,096,709,288,
181,618,077,672,336,288,801,128,590,727,417,020,364,107,224,653,919,720,033,
604,885,423,489,158,474,161,096,352,424,847,750,721,248,595,550,537,817,058,
887,206,554,353,098,069,452,779,917,701,044,454,865,397,341,167,457,717,857,
196,273,146,543,006,878,263,219,799,882,978,038,380,332,368,298,760,750,319,
094,437,281,999,656,131,381,979,701,044,995,961,494,446,538,597,208,434,967,
508,056,538,832,388,472,518,303,509,209,168,311,418,968,906,744,148,675,891,
181,773,339,012,040,839,022,872,070,473,139,250,384,836,985,175,020,768,643,
483,011,026,567,153,589,984,716,346,619,761,385,521,302,264,769,885,509,993,
513,289,405,272,454,496,205,829,052,522,377,149,501,445,500,831,865,629,305,
753,438,693,855,206,934,149,129,218,017,774,674,300,568,216,364,958,382,641,
867,530,975,833,786,374,604,186,524,591,061,659,291,835,357,113,076,110,934,
389,753,858,059,434,574,249,263,145,410,031,503,336,315,588,814,882,965,951,
647,307,840,151,983,952,884,438,729,132,774,425,957,840,438,919,011,827,727,
319,373,388,563,545,854,226,289,271,063,655,644,288,307,532,723,131,882,917,
263,712,125,634,602,725,626,165,978,548,572,135,158,678,356,042,400,408,354,
933,897,638,061,658,740,026,884,235,673,381,054,482,057,256,322,764,354,512,
148,365,675,216,822,659,153,531,020,062,029,308,900,054,305,031,398,584,314,
326,126,782,706,450,923,323,412,312,046,468,893,193,805,695,926,780,966,308,
602,257,663,487,297,805,421,139,487,631,787,312,060,763,460,743,624,859,383,
680,249,904,967,362,674,643,344,276,118,548,052,777,539,037,435,029,066,221,
224,886,781,839,158,937,297,496,915,193,779,737,947,136,432,813,543,211,952,
385,571,346,086,162,382,377,762,869,300,500,754,074,408,023,630,130,058,656,
663,129,372,059,861,220,047,483,108,266,799,996,827,983,562,123,913,909,427,
452,486,794,683,713,830,475,624,309,467,495,151,213,497,956,570,187,612,442,
386,857,752,703,961,896,519,132,356,347,090,687,114,480,454,630,040,580,205,
478,967,572,619,914,389,115,435,603,321,748,554,902,971,818,336,531,603,632,
642,145,254,892,199,465,913,787,398,706,172,389,681,703,194,832,068,691,802,
223,175,414,508,486,879,988,532,428,171,747,791,857,696,861,474,141,471,613,
061,482,633,241,070,110,345,380,096,474,356,847,450,189,405,682,072,984,561,
333,209,167,213,798,645,366,017,506,859,332,921,127,455,043,740,660,393,827,
925,575,579,559,761,066,718,369,584,895,590,156,670,742,946,318,793,960,216,
926,124,224,822,194,531,284,753,087,037,370,016,617,744,980,517,524,336,856,
225,513,304,623,069,827,857,092,676,898,335,068,888,784,251,409,750,208,342,
950,178,657,212,019,558,970,285,296,265,531,417,820,121,841,124,692,776,250,
543,852,136,527,310,930,368,758,627,862,075,387,416,487,939,902,253,829,034,
934,291,692,357,763,986,827,279,792,572,288,998,029,407,505,522,564,931,045,
650,530,273,017,810,336,798,708,127,080,175,865,014,918,178,793,702,279,056,
476,343,481,512,682,933,139,494,675,043,569,448,502,905,924,359,337,688,259,
589,217,202,098,711,174,108,709,361,138,886,047,921,795,659,640,379,159,187,
377,507,906,002,874,937,750,134,685,526,599,190,008,301,733,506,700,277,799,
284,298,289,228,951,604,808,390,205,244,249,008,945,883,860,023,889,415,963,
372,521,351,027,832,774,642,015,404,112,147,030,022,968,126,986,849,916,492,
368,924,447,112,576,067,914,876,958,578,572,096,429,843,837,987,061,303,943,
549,859,769,432,828,340,724,193,495,576,303,773,163,983,848,115,982,193,302,
361,526,175,291,881,099,044,588,428,704,419,731,735,424,774,447,150,382,747,
076,803,460,800,999,889,672,665,407,322,829,643,625,662,426,683,288,011,281,
837,558,020,076,378,918,910,378,688,570,170,107,381,585,200,005,933,244,177,
550,474,940,184,305,278,299,335,872,938,488,399,963,016,691,631,076,412,937,
821,791,143,904,331,478,369,606,324,329,021,141,328,141,866,021,094,051,297,
926,885,638,187,347,725,668,844,708,464,494,574,513,916,659,897,480,478,022,
824,000,941,664,378,218,672,953,615,590,354,703,171,345,988,158,886,641,732,
395,647,833,857,234,588,880,428,594,236,985,863,663,580,079,267,424,830,307,
236,930,785,310,179,276,526,011,886,109,081,879,189,806,423,827,524,240,415,
150,622,377,032,859,669,490,721,721,985,675,617,414,230,999,717,414,052,666,
602,179,060,358,003,483,545,235,697,673,702,272,650,973,855,704,590,686,993,
381,419,172,753,334,873,299,425,631,430,729,821,124,009,676,543,545,248,124,
576,435,451,509,888,404,153,300,543,292,597,132,573,871,976,794,514,032,170,
351,481,989,719,864,905,266,141,793,564,564,153,479,063,879,047,234,246,392,
500,953,573,478,377,677,254,349,944,809,117,036,704,268,338,635,656,377,672,
258,669,853,552,830,044,414,343,498,806,951,206,651,090,969,078,633,323,230,
944,908,195,304,829,178,156,628,750,357,591,672,458,518,847,139,172,409,511,
023,932,354,543,823,763,434,047,393,568,048,301,087,039,793,121,467,341,525,
011,338,293,884,212,872,876,501,186,254,409,884,701,372,825,551,345,364,080,
631,176,683,708,033,674,837,087,968,582,081,755,837,903,746,029,202,496,625,
937,421,453,334,505,535,661,763,120,459,568,529,633,506,016,449,024,486,058,
021,803,411,860,676,147,883,400,371,658,467,425,346,170,700,579,109,012,453,
190,450,178,880,027,494,050,869,674,239,467,625,561,403,429,232,857,234,338,
500,806,346,367,879,638,028,674,724,770,471,609,276,035,308,093,463,950,990,
257,818,308,014,447,764,980,063,280,152,045,716,932,010,854,320,575,677,366,
514,457,729,534,899,222,195,265,431,761,425,548,064,273,666,104,325,714,598,
040,467,081,969,947,847,468,170,196,470,459,379,367,452,814,501,778,844,089,
335,779,851,187,162,414,032,279,957,512,061,855,503,373,200,969,468,142,133,
360,512,581,237,931,116,669,695,932,999,764,926,314,422,403,089,054,134,228,
766,710,632,342,485,522,178,816,372,926,291,398,767,507,129,312,789,614,541,
515,277,303,885,563,520,357,624,927,489,926,143,775,889,022,408,841,177,800,
997,411,545,643,664,637,585,886,903,552,505,985,593,542,035,506,116,717,000,
636,851,571,231,597,489,629,342,589,293,255,001,866,961,948,284,189,203,088,
156,055,631,458,782,510,815,590,680,782,768,566,232,388,281,772,892,093,420,
901,394,337,437,785,590,007,647,662,903,678,926,180,270,345,053,377,612,375,
820,526,705,778,838,126,117,814,429,676,345,295,819,505,984,949,684,625,491,
870,160,301,690,563,076,100,407,894,631,379,137,716,173,131,816,492,482,684,
676,893,282,385,364,331,578,473,241,326,679,078,837,203,746,342,752,989,862,
934,401,074,127,810,628,012,319,576,325,143,126,979,590,850,683,419,255,713,
019,258,060,939,882,141,567,376,160,941,967,579,062,793,962,828,656,973,861,
880,023,001,111,139,987,182,502,497,932,661,856,448,521,000,217,709,207,271,
654,092,461,842,622,263,187,601,674,414,874,953,150,235,237,891,967,197,692,
169,918,956,433,934,558,666,956,755,250,101,843,354,043,734,987,565,712,124,
430,334,580,694,322,991,925,713,933,577,508,462,839,791,966,662,171,320,297,
734,290,152,431,774,307,643,328,648,631,194,731,082,519,740,724,516,262,082,
894,230,546,828,634,812,109,522,226,383,444,930,650,061,355,853,303,866,549,
544,456,053,552,449,910,133,090,538,655,853,125,342,586,918,970,798,705,473,
067,920,735,276,547,408,133,177,348,326,432,459,641,214,182,357,600,414,588,
573,083,830,592,276,045,330,274,997,400,900,651,828,969,489,653,818,526,262,
963,852,095,810,068,454,586,699,955,570,012,639,549,087,284,532,755,606,489,
145,430,608,276,671,279,250,216,886,210,197,019,158,107,450,475,654,451,667,
162,927,324,495,819,596,229,359,670,156,638,064,712,891,346,828,567,141,665,
622,321,391,210,092,174,329,008,097,138,914,541,351,641,883,568,542,571,646,
193,811,548,411,588,451,513,434,760,641,236,338,261,947,486,319,453,065,243,
913,956,138,069,657,627,472,714,893,492,942,441,983,725,808,193,806,692,814,
759,832,764,989,840,303,302,825,952,554,119,002,534,857,201,328,446,385,664,
520,993,938,674,123,779,219,917,704,525,364,899,282,206,588,883,619,961,877,
854,507,354,205,303,262,842,054,395,922,917,869,053,445,145,160,107,617,107,
333,851,147,394,271,866,952,473,880,521,952,878,968,853,025,558,417,668,099,
915,818,265,095,735,324,088,766,092,504,639,353,887,688,030,861,043,918,294,
983,624,898,034,396,967,606,331,553,513,894,821,750,212,622,516,882,335,590,
761,936,225,084,253,298,470,208,774,768,641,762,479,566,736,752,107,619,543,
677,516,931,006,499,097,336,646,034,013,309,606,983,223,609,045,220,190,165,
411,761,440,792,137,533,003,709,923,667,797,429,128,036,022,931,463,875,937,
143,660,717,965,434,170,313,513,467,524,732,824,852,872,917,741,452,506,225,
199,647,319,562,873,019,583,169,395,987,967,771,919,379,519,162,185,430,779,
605,771,722,198,956,688,709,447,987,046,101,175,719,797,950,496,873,522,583,
155,280,164,726,962,281,491,868,516,874,952,143,629,065,641,575,027,198,609,
512,035,454,167,732,394,492,890,162,966,051,417,092,341,607,194,396,276,742,
168,479,152,465,677,800,656,938,045,129,088,745,396,079,152,755,618,132,193,
355,528,818,272,352,980,722,233,488,395,273,698,137,006,834,974,007,755,741,
645,264,793,027,434,570,598,301,301,029,504,110,345,845,644,767,914,838,547,
439,113,410,766,762,146,313,016,485,430,232,572,402,130,242,313,218,861,717,
622,828,850,824,099,915,642,967,375,131,275,754,891,589,411,895,339,705,376,
008,932,403,075,425,839,943,123,144,174,183,477,232,791,535,327,184,810,763,
143,466,060,333,160,375,867,572,391,646,772,855,157,155,985,097,233,101,959,
605,703,511,916,033,713,443,161,226,406,505,902,133,968,943,800,985,277,689,
859,212,355,775,841,238,257,986,988,094,918,665,479,760,613,099,806,958,545,
330,124,919,592,051,274,122,219,734,432,291,711,515,784,349,374,665,788,920,
074,843,506,507,605,602,687,878,118,685,750,826,063,476,643,739,323,469,755,
349,872,849,265,781,422,765,070,757,479,484,437,947,066,374,622,896,311,598,
220,948,007,142,295,850,663,598,441,696,280,591,301,644,724,686,758,662,038,
870,442,259,773,208,416,481,734,690,977,955,441,348,492,796,937,750,938,726,
581,506,303,552,537,771,359,778,618,541,252,291,635,634,009,364,430,891,737,
961,344,635,151,378,634,072,052,109,332,265,444,627,176,811,020,829,674,295,
750,497,386,445,607,304,376,740,513,098,372,943,264,719,218,465,559,788,418,
364,491,046,409,588,784,344,265,218,619,564,928,604,034,192,086,927,825,533,
525,124,363,689,903,418,125,448,582,329,285,200,810,980,478,746,711,909,156,
743,294,411,443,850,317,194,466,703,722,426,579,183,773,510,394,405,190,524,
176,898,345,972,435,003,751,400,249,991,791,545,099,916,059,598,696,582,325,
115,857,178,477,870,997,203,570,916,134,162,517,956,762,865,400,089,332,876,
151,549,201,100,467,354,593,659,464,623,046,221,374,829,226,688,598,036,147,
347,555,007,424,910,189,036,741,579,076,115,711,105,321,525,134,194,259,102,
659,241,995,525,692,060,581,957,409,895,354,463,895,044,505,519,618,752,010,
944,306,784,515,250,927,946,572,597,026,327,552,316,826,337,509,670,414,387,
177,524,679,284,159,772,476,475,866,742,734,246,462,680,649,290,214,202,001,
503,798,414,981,320,004,798,541,707,282,954,843,753,446,746,202,497,422,472,
861,252,148,231,797,191,156,729,917,081,667,183,190,294,488,868,401,728,439,
097,634,659,541,352,912,812,723,844,920,348,182,071,169,782,910,985,687,368,
096,346,266,846,014,300,972,826,328,014,633,777,977,255,461,754,106,612,146,
602,836,730,338,730,741,475,779,969,831,842,743,060,723,799,782,935,084,511,
662,795,837,191,602,739,261,845,984,412,936,037,990,300,088,168,331,004,409,
270,887,275,457,691,933,364,265,998,770,660,627,892,235,199,920,110,156,717,
923,503,025,067,799,103,916,709,089,958,628,224,244,673,289,369,746,035,379,
685,194,457,155,281,790,937,013,752,676,362,561,238,171,785,957,396,293,377,
954,622,358,992,152,692,254,609,979,543,379,483,650,714,594,203,224,114,848,
236,326,127,089,767,539,987,522,873,112,600,452,690,719,532,589,795,390,482,
257,400,779,773,189,580,369,181,158,015,800,509,517,655,738,735,784,414,137,
157,313,244,879,354,016,378,327,925,568,228,986,395,354,301,194,960,920,646,
297,871,851,883,380,598,319,772,256,868,499,152,450,666,718,556,800,048,956,
332,611,709,939,586,269,322,896,006,424,949,735,031,779,115,125,788,859,245,
056,923,450,066,305,099,354,624,431,877,597,337,161,543,090,030,685,078,360,
425,943,107,398,763,642,121,979,961,862,278,303,442,293,263,417,614,051,442,
076,207,253,488,840,534,690,554,348,858,932,405,521,001,513,117,854,149,627,
314,825,278,776,554,866,552,496,955,941,664,483,821,018,684,882,814,599,484,
382,222,195,202,908,520,633,873,690,334,454,048,230,225,342,146,435,721,955,
402,291,392,273,686,448,225,660,352,802,114,843,495,789,434,656,119,106,607,
302,607,681,948,244,209,272,907,673,928,098,155,906,554,043,906,759,142,295,
915,729,993,398,489,665,960,533,003,600,757,897,046,543,928,554,777,829,162,
052,795,822,354,316,432,111,685,983,329,223,560,350,692,908,096,991,310,083,
268,505,693,179,053,557,857,195,750,886,822,428,955,657,540,761,691,010,631,
570,339,610,273,230,163,088,754,393,498,178,791,387,431,633,443,489,079,883,
335,220,400,053,214,322,088,298,554,061,431,288,441,711,142,735,332,772,752,
545,475,799,891,409,604,752,288,678,735,513,306,005,725,364,758,926,916,102,
107,681,381,492,731,152,207,836,606,384,978,944,122,462,839,963,529,510,600,
789,522,715,939,858,880,435,358,881,112,841,759,554,208,648,321,090,745,142,
718,267,351,082,652,627,720,029,006,781,886,507,869,294,729,429,104,434,446,
661,729,455,588,671,927,585,303,572,648,549,508,058,075,893,574,952,437,061,
297,205,538,944,379,691,363,693,943,535,011,535,965,914,626,870,912,358,523,
090,568,430,042,753,232,432,908,100,618,049,140,020,122,846,899,245,918,964,
839,111,164,418,997,440,609,522,455,891,605,440,071,848,634,818,078,247,442,
543,373,919,300,555,326,900,533,135,593,119,706,687,578,384,745,687,641,611,
197,895,598,594,231,817,440,941,897,451,885,636,136,319,639,114,154,601,079,
025,746,069,674,530,736,495,218,125,612,084,119,381,908,356,575,020,144,769,
279,679,397,342,328,014,244,498,807,646,508,220,532,397,066,493,504,689,271,
701,271,947,552,840,336,897,988,519,722,156,923,216,604,273,958,773,465,047,
559,802,664,713,091,582,070,189,413,108,496,219,093,804,129,321,198,126,579,
947,668,866,561,054,831,461,669,057,547,753,539,357,422,442,431,788,260,662,
404,119,812,298,551,125,852,737,431,707,908,454,028,109,830,762,079,116,975,
943,688,457,533,414,824,052,708,643,925,233,802,276,567,038,112,448,492,750,
174,165,263,163,253,214,749,635,645,341,201,147,537,078,052,588,922,905,301,
274,576,718,822,650,744,525,374,273,986,014,601,869,913,349,311,663,605,190,
639,402,094,806,915,408,473,817,981,034,267,998,986,449,439,640,508,874,830,
718,686,427,458,405,768,723,677,913,464,061,664,220,843,099,768,634,093,437,
982,286,240,829,795,766,091,885,925,220,029,948,447,386,930,982,878,019,914,
000,521,491,319,340,716,729,213,214,000,136,484,256,136,262,345,166,532,040,
622,468,427,186,370,078,600,547,766,347,566,470,430,702,394,652,642,002,634,
805,481,393,959,277,438,065,193,160,338,807,820,091,772,628,739,676,761,034,
971,019,345,118,528,188,007,695,058,416,063,990,057,859,993,002,989,186,563,
184,979,025,073,871,109,616,528,974,343,493,312,260,651,408,525,947,353,818,
556,311,330,405,656,764,416,464,258,833,236,724,578,347,238,715,755,568,662,
794,788,104,458,970,832,767,772,073,307,584,403,549,592,264,094,092,880,921,
537,430,284,169,014,583,904,417,795,416,324,264,720,955,607,031,527,941,310,
861,029,650,724,406,431,892,621,966,559,025,523,301,530,184,272,390,501,712,
841,847,982,945,464,374,508,191,204,527,714,815,286,288,744,608,437,842,611,
646,041,400,367,937,603,930,494,053,170,311,360,954,431,967,406,105,568,133,
563,897,099,186,198,452,062,288,029,877,804,783,868,071,918,847,471,019,888,
925,129,710,301,921,164,016,988,507,910,257,877,991,381,520,484,845,176,929,
637,111,328,996,649,055,945,829,910,358,729,154,177,900,120,382,845,550,170,
504,015,082,617,451,605,362,409,318,267,250,905,756,875,770,598,714,726,258,
749,508,608,105,104,656,823,770,131,800,865,367,406,162,645,800,657,911,073,
401,196,806,510,229,252,556,983,892,753,004,123,840,169,814,464,765,870,172,
692,071,721,814,537,833,611,799,329,924,929,825,430,487,352,833,519,840,800,
810,466,132,113,920,210,017,689,017,174,712,479,588,420,937,968,712,098,004,
764,732,665,824,961,586,059,214,042,577,751,470,293,132,155,046,376,815,276,
515,520,486,514,563,478,335,544,819,982,880,995,243,690,169,393,464,550,862,
274,950,632,089,303,118,344,727,766,579,447,530,665,269,234,985,220,799,018,
112,631,871,269,707,463,473,203,933,989,401,946,588,158,364,079,841,224,253,
705,917,745,515,324,406,977,260,231,607,610,014,604,317,122,219,649,255,780,
704,073,534,889,305,964,064,085,821,444,952,082,282,921,500,722,477,214,435,
286,720,022,583,738,518,701,358,169,473,581,515,819,932,223,960,574,203,419,
259,716,233,570,428,350,891,572,589,117,498,274,789,754,898,260,498,981,180,
006,628,277,581,640,991,191,759,595,616,122,505,862,320,730,701,616,290,153,
837,231,692,772,177,879,918,438,301,593,201,804,055,115,565,101,681,499,216,
709,858,365,944,547,165,085,092,664,316,181,047,701,558,805,506,200,898,253,
255,039,534,898,520,705,438,814,151,626,279,624,581,698,603,889,714,639,273,
694,380,989,410,458,692,428,944,961,861,958,381,770,308,643,334,228,279,592,
275,926,783,234,741,385,245,552,786,164,510,403,198,735,249,412,024,069,033,
020,551,262,821,763,208,718,499,267,065,824,174,880,017,589,620,109,226,841,
657,405,365,189,000,506,561,150,255,561,427,260,642,357,243,643,803,427,999,
440,601,927,468,421,620,968,156,594,557,384,815,675,931,260,823,932,125,116,
291,071,948,237,156,139,085,900,179,325,547,014,079,203,488,999,428,499,060,
188,523,713,489,265,695,412,546,450,828,982,535,316,919,578,802,444,936,859,
190,368,190,380,594,275,397,663,627,497,804,932,993,392,511,206,606,624,402,
700,671,936,102,602,483,533,766,278,611,946,071,312,632,127,422,522,403,129,
444,161,128,273,437,650,753,996,115,311,294,921,351,832,662,944,983,360,058,
920,169,962,462,769,446,048,550,553,474,175,591,982,943,629,379,767,501,950,
917,289,716,068,880,570,580,099,007,211,809,739,314,546,928,677,101,649,817,
236,133,420,041,004,565,359,448,977,697,285,734,087,766,369,749,912,274,886,
459,781,373,909,032,162,896,798,108,193,735,935,511,286,278,632,978,493,264,
208,886,769,121,519,575,967,352,886,384,557,837,361,416,391,431,537,866,673,
663,846,584,505,704,054,659,743,410,474,468,127,814,496,612,206,359,434,294,
920,576,592,989,870,824,231,468,476,107,013,805,487,169,218,558,684,679,338,
460,802,523,247,778,227,558,335,002,464,214,647,659,801,829,774,590,801,596,
137,503,669,258,378,266,581,799,952,640,054,056,760,806,345,591,206,942,507,
661,630,257,376,421,804,281,625,677,424,318,830,964,835,500,920,142,212,434,
426,591,377,177,692,418,475,563,922,852,741,063,112,266,427,301,640,511,252,
557,757,424,349,143,230,452,785,711,392,288,151,477,537,720,185,668,918,204,
206,031,929,075,725,132,001,406,011,022,163,043,231,559,722,768,858,186,808,
286,199,466,052,377,892,379,555,767,430,845,711,175,718,542,018,106,880,610,
678,824,234,027,280,893,861,868,068,847,182,938,496,454,297,525,600,592,746,
918,500,305,926,028,951,122,763,800,494,976,388,690,176,904,424,396,535,408,
800,085,918,086,013,858,508,964,235,407,002,941,567,866,428,821,989,677,782,
405,091,139,960,522,302,100,043,712,618,552,466,555,058,974,062,862,140,753,
451,365,009,185,404,392,001,930,275,964,527,904,711,763,885,059,066,566,496,
260,619,281,602,649,568,700,277,404,876,847,601,870,129,594,964,576,580,507,
698,027,673,719,844,600,484,168,240,206,395,928,015,089,135,884,156,913,213,
514,613,622,993,889,675,304,773,798,988,167,685,974,857,609,163,903,313,127,
143,483,711,756,191,060,610,800,789,150,613,172,714,085,035,130,191,055,725,
772,089,936,810,500,603,682,710,339,605,093,834,037,856,591,894,052,048,634,
669,984,552,907,860,908,764,116,592,474,207,082,556,393,837,829,962,365,720,
912,666,757,045,098,866,126,499,522,323,194,606,158,066,676,173,773,612,043,
203,898,306,906,661,821,734,317,830,302,155,566,867,592,863,348,999,206,549,
491,391,107,140,251,528,383,320,828,842,641,187,320,421,095,090,260,975,334,
166,638,868,553,806,460,230,106,286,970,095,647,273,596,914,731,295,498,656,
817,762,887,588,686,508,700,820,831,546,879,176,199,723,335,199,961,258,017,
115,550,622,701,402,999,325,994,392,590,173,515,419,681,823,784,242,545,003,
969,302,313,719,302,750,440,473,298,527,970,615,118,233,658,977,551,603,346,
805,018,194,677,416,727,758,171,891,388,308,671,302,279,883,781,647,464,845,
501,221,350,850,051,266,819,266,942,939,609,352,355,414,235,338,010,584,623,
563,685,870,707,879,866,455,344,942,693,416,044,828,526,475,180,471,751,422,
405,557,811,295,361,309,146,304,207,528,437,077,746,007,021,941,539,325,448,
916,677,824,952,380,954,648,022,937,015,073,515,339,422,536,261,493,037,110,
352,766,662,184,077,533,697,906,347,787,461,174,172,727,596,348,696,407,800,
255,448,867,568,575,308,497,524,023,851,788,443,560,867,562,115,361,848,039,
552,493,102,127,562,904,246,500,307,977,927,674,711,398,154,749,852,817,997,
638,217,544,632,958,796,091,705,617,779,742,532,880,448,329,116,652,718,675,
602,005,932,958,264,473,480,530,801,432,100,320,575,601,289,975,101,123,354,
676,248,710,828,927,730,961,741,530,283,109,727,897,446,526,858,861,484,565,
413,475,573,060,123,780,891,733,721,737,068,238,651,874,409,329,437,693,671,
186,805,777,414,652,409,688,213,913,976,954,244,057,753,955,606,084,377,988,
406,294,368,885,433,478,863,793,921,621,064,648,903,074,930,271,550,798,326,
729,045,748,549,335,372,851,808,438,066,375,723,468,105,399,897,225,461,987,
832,194,932,017,828,548,540,233,191,011,980,162,520,561,582,011,594,087,336,
620,836,688,220,330,913,521,508,620,672,304,345,278,525,001,274,011,291,390,
128,204,049,821,271,322,962,220,985,844,972,678,387,007,163,208,132,455,246,
728,800,381,669,796,572,706,488,685,571,466,246,918,975,525,196,951,563,532,
243,203,635,687,220,907,607,528,644,236,387,274,888,828,619,395,079,456,851,
511,714,507,557,565,196,929,124,123,047,897,071,241,360,491,432,070,802,879,
465,698,295,907,116,846,675,531,635,643,386,029,726,324,123,223,421,988,368,
035,548,782,508,171,154,016,778,936,929,229,185,000,803,943,513,422,209,087,
748,981,945,119,230,539,309,834,373,137,067,716,602,524,800,741,557,631,296,
216,627,735,332,416,413,337,971,310,641,773,710,153,659,752,083,298,778,248,
665,464,828,909,678,575,111,478,895,046,726,620,031,003,743,842,110,912,790,
624,853,984,975,729,979,590,130,299,931,653,861,866,376,775,455,465,463,349,
378,802,719,654,771,156,071,687,932,798,402,248,010,569,523,675,158,832,661,
211,532,140,620,759,899,649,675,291,414,856,000,635,605,846,479,510,120,483,
307,981,246,499,656,051,131,580,570,450,895,810,126,080,227,879,687,394,263,
906,046,846,046,675,165,555,488,290,565,360,655,496,808,964,262,054,675,171,
865,533,153,350,224,883,541,166,104,402,646,254,439,658,846,594,032,672,186,
237,962,318,763,790,106,017,601,516,765,481,861,812,283,217,989,510,077,260,
286,091,573,044,672,446,603,325,021,839,691,087,584,640,432,129,801,804,045,
190,330,583,108,431,346,167,241,851,298,645,341,317,652,031,709,698,987,241,
494,718,589,127,365,487,804,550,706,717,689,769,275,655,927,119,179,253,308,
922,221,931,649,053,397,776,430,305,605,640,512,303,841,172,886,203,042,246,
100,608,387,246,848,806,865,991,390,649,223,381,957,957,123,065,402,970,378,
234,929,266,264,399,996,219,482,676,612,432,324,746,991,802,995,676,118,974,
824,516,812,942,995,015,476,098,486,494,738,219,959,276,100,663,268,844,507,
813,807,923,240,035,379,883,555,579,749,886,713,067,138,065,048,486,548,896,
892,811,201,138,645,759,897,110,100,487,006,920,464,449,699,953,090,043,143,
355,799,162,463,268,350,667,037,035,100,786,900,361,671,476,356,496,255,583,
581,711,157,284,911,682,255,696,842,980,148,237,324,454,494,563,232,462,468,
290,550,161,890,883,600,198,312,715,817,632,795,094,068,164,935,404,567,584,
337,695,538,462,742,962,497,911,762,561,625,626,491,712,293,589,416,511,372,
218,163,847,096,112,463,875,580,835,558,657,819,283,785,821,940,686,600,817,
612,885,283,606,226,031,234,041,821,654,071,799,934,461,216,198,534,357,964,
441,629,344,732,465,096,774,849,781,580,327,933,467,894,166,053,291,460,391,
464,572,541,650,275,122,542,835,482,471,693,239,475,566,307,256,141,198,887,
477,310,085,767,426,894,353,817,135,544,066,868,851,709,362,556,326,328,428,
264,956,107,509,765,911,376,771,047,169,252,515,482,715,795,056,499,821,129,
627,814,033,588,892,451,227,114,828,358,852,311,633,293,738,187,584,719,475,
810,648,059,085,999,921,940,024,612,912,808,349,633,155,057,466,177,951,385,
180,272,214,828,591,938,579,157,797,570,737,479,840,192,204,610,934,093,528,
366,124,617,889,033,098,446,587,330,379,343,757,440,643,816,446,903,641,037,
145,296,428,543,626,519,167,909,982,633,198,929,439,214,787,346,378,556,102,
663,275,281,363,136,273,678,175,719,750,029,712,066,821,151,364,952,953,166,
963,100,676,276,863,300,931,789,954,372,438,994,670,970,012,385,373,336,406,
366,848,170,185,822,314,461,453,822,275,915,352,175,899,020,316,159,333,147,
177,787,528,826,274,509,691,924,366,534,445,075,207,962,283,457,640,772,450,
479,395,012,340,927,268,355,288,023,411,352,850,472,228,070,800,450,041,484,
316,209,837,804,527,578,637,458,575,947,768,192,561,693,809,196,849,852,077,
288,299,908,881,112,720,151,272,801,883,105,125,523,249,207,146,064,536,108,
022,274,538,740,506,492,432,804,292,493,433,333,707,368,376,762,566,657,142,
164,001,176,573,221,287,054,094,803,944,116,322,740,714,936,788,384,957,582,
768,709,263,925,990,653,545,459,392,332,863,602,700,644,352,977,006,081,123,
251,444,494,743,777,340,907,655,575,946,050,867,815,982,403,138,287,058,902,
396,196,935,009,337,758,711,802,502,571,796,549,853,424,013,170,310,311,438,
232,598,069,053,143,433,427,015,606,430,423,022,108,223,410,482,247,564,128,
665,864,166,286,852,008,736,872,718,971,217,504,712,785,168,782,095,416,377,
569,498,951,600,398,409,077,857,030,326,861,622,945,496,063,314,160,825,378,
047,230,019,898,404,129,010,717,890,373,168,579,653,534,785,324,378,887,527,
335,752,956,368,294,034,969,511,297,510,554,421,417,472,766,418,639,709,632,
871,489,667,857,954,752,590,849,023,010,634,735,837,168,012,853,528,823,816,
577,231,925,821,640,892,759,258,320,786,285,181,061,234,911,672,384,031,260,
113,795,555,168,393,166,949,165,803,292,726,148,069,385,905,789,830,467,536,
869,514,051,614,955,428,447,075,567,326,547,417,485,662,112,589,487,491,477,
882,379,001,261,277,794,261,151,196,834,624,297,177,863,698,951,924,028,012,
791,887,472,527,851,371,081,896,437,399,797,441,943,877,148,630,200,189,406,
185,104,174,786,680,119,791,038,608,459,598,652,198,325,911,599,224,297,337,
523,181,121,307,641,273,803,393,698,152,665,504,179,914,946,416,477,122,067,
286,667,218,032,028,207,306,959,002,283,108,869,657,915,855,397,422,900,927,
978,519,480,401,054,076,467,435,377,791,705,248,129,953,795,986,679,161,842,
481,045,589,662,740,996,909,303,668,671,251,082,701,971,386,438,584,517,891,
800,328,138,561,638,891,590,302,747,060,433,249,632,092,797,090,454,301,489,
574,234,037,488,571,674,133,885,115,043,251,419,335,408,278,887,999,268,864,
199,913,704,206,651,361,679,191,580,138,543,542,160,486,757,398,873,617,183,
365,029,351,175,343,170,938,069,884,836,026,180,734,090,712,229,721,147,734,
806,875,762,318,720,500,333,985,175,241,919,973,901,365,129,504,636,605,776,
656,968,888,137,273,551,101,388,620,074,731,784,252,793,894,240,762,733,349,
703,793,889,398,190,881,583,047,319,822,278,612,213,626,101,802,860,588,613,
257,139,149,522,847,690,963,062,683,451,131,419,696,232,982,358,217,517,996,
334,390,217,386,509,578,095,747,988,657,319,673,829,339,591,275,570,583,588,
895,792,959,646,664,670,234,934,640,877,481,164,988,558,349,482,654,999,500,
390,603,233,559,987,647,329,322,266,207,079,720,486,342,697,351,324,298,869,
957,154,266,858,040,063,303,872,905,599,725,904,009,451,644,639,874,982,473,
993,869,070,992,179,516,985,219,190,869,439,734,084,685,796,166,516,383,916,
803,872,765,954,230,062,061,439,008,802,345,452,747,176,418,992,735,046,647,
341,559,126,887,549,866,410,118,141,822,884,049,515,751,516,373,389,053,158,
218,218,243,249,049,871,436,180,932,919,412,174,523,402,653,106,670,991,789,
030,063,086,993,558,535,535,867,120,560,898,160,397,486,901,917,327,961,143,
427,445,805,163,122,850,318,090,423,813,378,289,501,567,197,474,480,942,517,
120,213,518,395,156,930,875,265,328,406,014,419,120,031,549,894,317,939,257,
182,175,883,278,033,326,712,694,358,634,810,404,509,249,660,274,357,209,055,
357,812,278,074,428,589,052,601,536,668,775,094,998,498,198,024,894,855,623,
175,765,752,551,331,951,927,693,736,901,370,382,472,748,200,559,183,633,111,
164,302,528,573,828,385,568,017,086,434,155,591,294,090,634,902,116,021,149,
440,257,683,785,690,031,720,645,856,807,380,083,670,098,035,848,527,251,195,
808,865,820,066,685,727,966,310,592,787,906,499,156,955,829,599,999,197,158,
797,142,577,715,489,952,264,046,418,380,295,953,289,355,790,591,309,771,220,
932,119,414,520,334,196,580,664,295,992,380,431,543,589,336,258,726,462,330,
883,551,526,562,264,667,412,805,352,444,355,166,032,087,656,355,727,675,391,
652,019,715,032,879,243,713,211,254,512,094,936,512,068,465,420,468,407,891,
440,340,633,370,880,423,007,979,298,209,545,424,435,111,171,524,929,398,289,
347,418,645,932,016,941,300,850,652,345,683,611,797,785,432,033,945,810,525,
473,702,245,509,405,777,773,162,350,404,467,862,295,727,402,725,264,014,589,
924,988,990,594,315,788,501,814,666,808,787,397,136,578,276,178,221,634,155,
384,151,448,580,220,044,266,597,312,056,135,035,821,836,950,431,384,983,344,
383,939,770,985,395,589,690,105,625,758,517,013,292,492,364,501,885,553,443,
320,484,786,788,577,525,797,233,106,782,544,602,815,410,116,099,848,436,688,
189,444,454,883,055,708,423,202,004,748,060,483,182,497,658,995,967,830,625,
512,573,974,213,700,354,021,784,589,552,344,739,456,256,593,711,053,762,061,
853,942,910,891,670,339,207,016,820,634,310,887,140,710,742,122,788,809,030,
078,863,700,712,105,849,884,387,753,993,964,547,721,625,684,439,952,903,396,
669,983,754,482,150,699,207,923,302,774,084,831,111,445,222,573,889,104,521,
002,877,412,421,859,635,245,992,816,735,074,792,428,274,919,732,633,086,333,
095,923,303,394,940,211,556,954,574,246,280,660,997,887,494,354,724,838,951,
410,843,901,423,748,531,576,159,752,088,600,282,138,117,285,384,584,495,897,
184,829,554,641,191,552,843,701,982,938,759,990,899,079,820,440,241,347,473,
707,525,703,125,818,154,660,166,106,405,483,178,839,139,710,086,633,013,117,
315,800,872,936,367,445,810,144,751,027,471,958,564,996,822,583,974,705,723,
764,349,413,293,162,689,205,061,945,413,283,303,079,855,722,372,300,378,742,
525,557,574,551,060,921,327,301,710,186,834,227,872,546,460,089,424,110,434,
357,594,204,502,454,231,317,542,737,744,921,144,159,559,390,284,636,679,244,
281,952,677,294,587,062,746,510,175,997,105,761,414,323,304,440,967,871,835,
783,760,484,282,307,241,003,577,333,945,571,636,563,251,708,360,568,821,719,
426,014,807,675,895,313,416,368,032,842,519,430,309,392,824,585,636,929,643,
145,266,515,406,841,852,242,828,101,352,293,946,054,339,182,960,778,304,997,
119,376,281,314,538,489,449,430,349,736,047,365,425,628,260,998,853,093,688,
586,965,335,966,602,873,533,973,566,254,857,010,861,859,205,989,150,905,463,
519,608,605,951,559,697,248,255,997,185,523,111,262,206,431,336,491,811,597,
233,356,701,718,530,043,310,029,886,961,599,888,645,824,911,007,303,710,880,
371,589,686,287,452,259,909,603,749,812,686,391,043,663,651,489,401,045,104,
252,095,792,678,234,515,792,743,617,692,650,806,348,951,750,268,395,745,051,
105,337,746,294,317,226,664,235,601,951,396,374,938,730,886,793,242,880,697,
131,328,427,095,639,074,868,258,300,828,766,085,394,547,545,115,999,418,310,
953,346,238,632,158,984,683,040,866,273,698,539,958,947,804,072,553,647,483,
655,087,512,584,096,868,373,504,324,137,412,112,892,044,614,832,974,258,413,
608,313,736,119,153,613,727,601,220,952,608,604,653,901,295,116,311,279,820,
659,988,300,977,053,641,890,481,845,192,389,611,657,810,943,724,552,499,679,
148,408,468,342,625,962,922,613,180,882,894,120,573,993,657,175,510,990,212,
062,473,141,697,862,244,283,969,727,960,588,095,636,663,244,534,312,859,552,
125,229,676,540,639,204,917,529,080,645,489,054,191,215,506,060,998,870,418,
734,878,279,411,709,065,479,622,165,981,776,517,759,275,203,235,319,488,434,
901,794,861,828,034,227,398,415,811,432,872,259,909,134,856,786,044,100,721,
576,786,804,115,421,391,551,924,656,460,729,342,954,660,070,050,894,199,980,
997,690,910,246,281,223,450,414,007,860,814,005,247,386,611,394,024,531,566,
124,914,287,735,028,101,182,431,485,140,899,082,060,881,751,131,444,013,309,
160,830,892,128,789,185,115,627,805,041,880,493,910,644,106,044,515,570,894,
988,943,888,882,854,154,395,933,480,689,395,564,498,066,669,804,674,194,517,
700,365,555,945,771,642,099,559,556,565,900,425,456,527,669,474,693,550,548,
728,763,114,563,196,109,540,620,194,366,855,942,140,213,106,158,660,029,505,
985,653,896,118,901,498,636,022,531,227,413,669,034,344,888,215,854,676,066,
718,766,864,920,061,907,039,254,962,594,792,190,926,437,192,955,935,954,564,
481,816,841,588,836,962,486,501,103,531,914,978,254,779,564,765,128,352,938,
287,374,280,686,072,630,537,019,964,297,547,452,593,642,302,189,423,581,957,
351,116,240,342,066,438,961,061,145,784,964,010,943,077,945,692,955,327,177,
330,611,304,600,258,758,342,179,172,657,148,249,783,162,664,492,903,101,798,
365,756,537,501,864,060,376,209,788,898,305,001,050,221,723,439,121,398,657,
668,155,377,300,793,587,668,832,766,927,104,201,296,355,139,908,780,489,802,
532,477,063,979,180,551,789,277,194,203,785,269,844,868,757,332,471,598,912,
301,033,909,468,812,710,223,128,302,998,181,135,307,629,755,351,990,368,000,
487,216,005,705,067,869,266,435,472,514,249,267,639,423,219,822,412,446,419,
708,915,930,173,115,795,927,917,051,404,929,223,519,261,164,381,958,429,101,
197,566,830,288,186,181,729,334,655,108,288,722,991,703,454,395,307,186,692,
420,033,584,342,620,847,222,971,369,551,270,629,219,147,278,982,611,522,505,
500,725,549,770,833,607,381,506,028,302,448,065,659,855,810,677,361,029,537,
858,797,819,536,029,941,005,959,202,069,853,441,764,651,019,120,155,189,265,
645,412,914,269,260,696,787,481,343,739,401,967,804,995,175,854,676,959,489,
632,605,963,165,809,645,060,828,308,999,986,415,311,701,880,058,801,057,872,
317,182,186,695,101,218,045,829,966,291,520,390,208,574,744,826,179,696,609,
397,148,431,734,866,758,127,466,784,700,024,863,102,862,590,579,683,662,143,
578,436,042,930,682,399,418,132,599,320,896,930,210,942,304,876,285,123,653,
238,260,434,144,508,136,983,240,621,853,087,796,652,923,762,726,279,407,425,
306,789,917,931,692,453,940,611,193,269,878,505,464,203,907,493,961,121,561,
370,355,145,554,793,940,746,247,717,633,571,819,215,772,317,208,852,396,115,
702,565,328,415,771,724,599,000,400,285,788,860,284,786,436,692,343,762,352,
738,900,444,980,243,523,441,551,754,423,495,165,489,502,135,618,096,155,187,
872,656,613,280,285,239,880,954,086,728,743,680,713,753,835,682,073,015,794,
426,375,991,131,267,446,183,173,268,530,790,976,660,207,718,896,711,235,244,
804,839,130,089,324,432,696,603,874,381,298,067,014,137,727,185,621,822,194,
367,291,378,605,019,025,979,795,166,478,503,155,955,744,769,765,494,032,611,
934,596,456,896,013,638,830,052,642,571,730,110,687,242,349,209,150,177,322,
533,548,894,266,570,682,579,224,423,709,129,348,980,252,289,074,258,888,795,
010,371,139,269,222,643,514,208,689,206,850,135,407,717,632,610,191,950,913,
051,315,440,983,408,062,860,478,259,158,915,535,517,170,322,942,201,092,156,
616,198,267,312,636,512,785,900,785,854,974,573,040,867,418,633,567,713,366,
359,937,648,502,021,396,247,486,284,021,974,852,335,617,027,216,393,357,990,
131,412,755,811,491,044,783,836,983,799,874,900,507,733,869,560,736,006,768,
424,572,013,673,350,751,297,889,086,891,970,155,426,946,104,040,550,096,667,
551,555,328,541,420,392,043,050,491,161,847,784,371,063,602,307,652,966,897,
557,219,978,984,887,775,727,067,111,514,717,952,895,385,976,390,234,036,364,
523,378,051,122,254,667,741,035,051,777,025,508,353,606,373,152,630,153,333,
317,913,295,296,378,853,775,170,275,423,449,427,484,917,349,168,470,383,901,
339,493,161,710,246,471,586,392,392,973,340,169,055,435,573,602,660,186,849,
944,110,310,445,327,023,173,007,743,011,886,268,213,211,406,843,849,603,043,
125,131,130,824,290,549,323,745,841,413,933,171,543,399,058,570,990,756,257,
597,293,026,106,494,371,655,639,027,876,601,608,805,494,850,537,043,326,704,
053,870,009,090,311,851,811,330,928,051,945,026,013,128,150,018,449,807,859,
950,584,470,999,163,624,357,290,414,308,530,582,067,028,035,537,210,624,704,
529,119,015,129,462,296,908,858,816,329,442,416,464,216,445,693,854,336,373,
749,440,196,582,269,753,743,647,624,810,010,951,741,729,698,356,010,353,060,
984,431,826,415,562,732,414,492,025,340,964,175,554,944,298,548,912,638,930,
751,254,329,800,085,909,317,264,681,425,538,776,400,124,913,577,001,579,319,
599,152,764,482,369,133,511,391,021,570,290,715,928,786,358,431,263,436,379,
146,853,222,958,004,407,715,034,842,474,540,815,935,877,383,979,472,322,819,
340,773,428,657,485,263,736,732,133,247,524,740,237,640,869,386,047,841,012,
673,984,843,586,499,763,563,258,117,107,195,805,123,182,816,691,848,828,909,
306,557,524,408,869,234,822,933,997,701,597,611,974,319,789,327,443,071,809,
979,271,977,126,454,350,283,054,821,833,083,347,743,646,498,327,072,950,863,
443,076,859,470,973,580,425,786,803,884,688,399,129,675,702,378,117,861,546,
801,439,714,008,264,812,246,892,324,297,728,908,918,133,353,151,494,210,236,
974,510,819,939,403,147,234,311,701,450,760,263,870,297,620,109,879,251,245,
376,157,512,424,399,977,420,117,622,781,614,821,561,221,523,289,906,436,067,
925,393,909,524,006,924,604,582,604,826,972,751,214,539,343,104,873,779,057,
102,145,904,171,616,400,960,227,219,040,340,720,189,276,005,468,314,885,857,
084,487,638,309,344,237,137,401,940,767,731,967,741,671,245,355,604,903,093,
368,476,993,550,509,533,786,383,440,313,853,301,787,845,092,511,305,956,325,
981,474,347,880,063,211,827,137,953,261,663,284,478,811,789,367,798,492,531,
438,744,640,956,034,317,003,582,260,661,943,497,268,311,351,006,275,678,226,
600,096,670,162,394,200,342,896,152,947,454,630,275,776,487,543,298,360,611,
277,263,157,667,192,174,023,678,897,618,647,278,286,195,695,490,904,483,810,
275,721,166,141,348,096,916,672,364,364,932,903,178,111,745,276,651,852,590,
560,832,798,004,257,390,696,612,901,329,373,283,956,060,736,511,242,750,078,
262,295,771,353,282,014,264,572,021,902,280,862,712,402,402,940,314,896,981,
493,772,774,437,510,837,931,430,539,328,968,146,031,874,091,614,018,967,805,
350,952,480,519,361,140,918,868,296,932,726,271,507,165,300,371,429,757,147,
618,377,807,240,369,609,619,971,340,037,095,116,110,449,137,109,624,866,092,
908,676,990,900,930,728,901,227,996,190,790,439,084,209,849,285,858,328,918,
062,188,506,995,393,036,297,819,478,978,562,942,667,238,918,776,873,169,630,
147,376,887,653,421,647,975,395,090,724,627,519,510,552,527,123,792,798,971,
936,767,568,756,855,122,775,520,873,382,582,533,806,692,950,237,814,698,532,
970,078,666,371,898,743,264,644,499,474,983,705,331,977,234,483,849,842,706,
862,922,816,526,510,445,998,107,311,404,807,891,805,869,698,444,390,974,832,
761,123,142,186,929,046,368,539,696,461,256,769,124,790,182,671,975,485,629,
122,666,747,561,784,407,756,035,158,376,328,579,978,055,541,075,532,194,496,
509,411,596,633,183,162,941,900,092,379,166,404,729,538,068,005,111,054,776,
526,948,572,619,065,540,098,495,251,935,358,951,606,791,940,156,723,596,961,
993,484,225,219,780,773,685,909,622,758,304,292,623,328,074,983,639,746,058,
816,051,712,366,506,623,313,392,825,060,225,940,360,834,417,125,887,966,838,
271,499,540,155,001,917,263,819,325,301,571,885,521,604,217,505,443,055,112,
204,427,625,087,859,019,526,461,453,755,767,291,319,964,459,881,961,764,557,
064,519,607,012,242,267,704,578,442,160,509,032,187,094,828,212,527,620,804,
215,998,940,532,268,690,639,645,774,884,126,109,880,754,637,324,975,551,134,
597,714,582,805,844,400,614,997,162,271,464,494,651,879,225,666,139,303,764,
344,244,129,735,251,961,472,748,432,798,724,760,755,721,593,362,813,165,345,
706,285,564,124,987,531,666,646,174,167,819,583,550,108,631,945,469,818,553,
362,118,167,454,335,341,853,619,325,369,604,501,236,631,529,286,921,590,796,
592,990,239,596,488,047,622,872,760,659,449,888,697,699,163,391,953,745,806,
736,589,428,320,606,425,380,754,818,692,603,713,737,023,291,677,499,555,816,
640,583,732,548,267,703,263,688,653,702,945,459,874,712,780,990,032,824,288,
315,818,833,521,988,557,461,360,081,020,925,975,879,469,757,866,281,835,527,
896,519,340,900,163,674,935,236,596,366,764,683,555,078,378,017,035,552,441,
100,049,979,183,724,404,448,715,256,719,537,654,302,564,762,158,058,693,881,
395,904,450,261,153,256,507,873,204,041,252,583,269,129,762,219,563,950,273,
978,762,264,728,306,654,571,029,824,423,100,615,374,091,461,729,517,731,737,
582,295,177,643,582,928,500,360,697,014,623,066,487,630,552,394,131,966,977,
415,559,821,815,045,313,450,671,329,302,452,168,989,564,322,787,173,520,445,
239,799,486,444,100,443,839,057,537,606,324,026,398,267,366,340,399,984,639,
584,015,432,671,556,299,070,719,508,144,738,366,547,770,155,737,603,665,693,
845,897,245,594,728,336,367,740,392,374,443,404,712,339,929,937,884,595,732,
155,473,641,219,191,094,609,414,291,569,148,957,932,170,470,562,789,563,846,
274,463,340,675,373,553,616,145,161,467,071,332,358,370,807,000,386,560,740,
453,012,338,842,918,192,801,989,104,490,360,564,274,253,915,057,135,230,678,
950,443,893,475,179,876,778,035,639,534,230,544,691,101,705,165,039,455,804,
732,250,380,021,625,507,791,326,728,695,167,927,321,361,925,126,743,107,322,
933,406,751,259,232,873,914,595,666,784,656,053,651,404,381,863,681,638,118,
882,281,184,007,930,579,255,597,378,800,773,004,710,152,129,983,779,699,038,
367,780,180,684,648,256,378,822,803,441,418,457,875,318,070,502,766,517,096,
634,710,395,167,087,898,187,050,686,601,645,510,040,980,592,618,195,263,586,
690,084,694,644,471,034,215,922,041,502,863,529,797,306,613,044,223,577,333,
210,322,938,938,586,290,591,249,427,298,792,507,790,642,601,470,213,176,619,
782,630,210,192,419,816,446,032,615,863,238,537,134,736,935,397,612,476,562,
613,887,215,162,731,054,300,792,239,323,258,263,681,473,357,245,389,575,251,
172,745,593,904,545,623,327,570,126,049,827,915,574,686,812,065,707,166,328,
158,548,017,993,269,641,077,682,797,036,550,122,124,276,167,040,641,980,450,
718,854,262,192,451,019,854,680,847,188,556,177,583,183,423,928,235,660,041,
552,566,858,097,903,285,146,194,814,877,327,677,698,220,597,756,645,528,076,
672,994,960,689,959,169,964,112,576,902,067,027,907,025,642,295,511,925,296,
548,015,874,786,416,557,323,428,352,191,027,595,859,110,765,360,198,164,192,
215,858,399,910,716,567,961,953,979,543,356,836,561,001,641,148,159,252,723,
836,064,920,899,340,194,832,110,894,386,886,748,103,485,700,920,522,437,864,
013,990,725,272,153,115,579,048,662,445,918,850,390,823,923,828,796,059,788,
763,618,182,190,331,491,975,762,259,039,849,297,312,710,212,468,147,258,403,
168,515,629,134,891,506,954,149,789,883,856,291,990,181,785,978,721,893,147,
261,268,408,300,905,092,236,494,830,376,311,989,024,693,346,337,413,771,234,
188,215,510,585,349,653,633,260,577,092,233,476,574,901,211,851,214,539,389,
170,593,214,925,345,439,899,409,602,536,967,402,687,567,218,112,634,541,880,
946,652,209,031,017,743,306,881,315,232,350,410,081,235,859,986,950,886,253,
432,372,520,134,200,305,241,276,292,424,579,880,594,375,652,521,072,844,577,
058,277,144,132,875,184,293,334,272,256,240,968,388,044,302,624,458,657,943,
689,276,131,438,225,528,178,074,806,372,440,676,468,524,461,072,137,334,023,
658,466,978,868,170,146,273,742,631,451,576,306,978,335,793,885,429,043,673,
979,611,344,932,939,623,254,228,504,991,334,255,973,780,520,293,514,773,904,
337,921,102,799,513,354,498,332,197,313,727,093,373,292,681,448,537,650,073,
683,336,328,140,658,291,930,877,650,339,725,259,820,868,940,282,965,084,434,
803,850,876,229,228,528,227,496,933,778,870,582,077,144,687,508,103,660,221,
042,477,291,599,773,506,099,437,188,125,827,069,661,755,796,471,669,342,646,
939,175,541,661,179,349,041,097,881,385,991,432,202,819,115,246,437,240,718,
310,407,295,424,191,820,155,286,050,225,779,624,640,011,895,726,120,318,116,
630,138,353,851,609,874,554,806,572,172,419,721,451,116,221,400,498,470,470,
645,963,759,520,336,053,675,386,730,578,689,017,155,515,776,387,082,742,121,
072,784,845,830,175,767,326,389,563,205,242,215,729,006,705,438,574,778,068,
489,847,678,940,459,498,627,435,176,277,660,579,095,577,861,832,368,898,480,
420,634,426,970,117,413,868,875,719,868,053,600,869,633,356,980,269,660,091,
005,297,355,159,247,903,985,992,973,499,680,747,621,426,438,190,972,835,278,
945,239,929,036,847,058,231,939,323,739,203,869,659,540,591,612,279,107,626,
614,286,019,599,688,069,385,731,689,452,314,421,867,377,593,561,546,096,766,
221,721,710,618,163,599,659,851,633,713,902,166,219,863,177,978,506,543,217,
353,520,440,362,719,788,522,921,835,814,633,139,501,243,386,458,915,072,560,
698,654,418,677,288,501,547,089,388,183,905,003,141,621,097,167,070,955,411,
940,460,998,324,396,862,369,248,788,331,190,003,693,872,385,894,065,141,940,
318,412,401,271,447,893,251,314,537,128,407,253,401,331,900,377,178,604,649,
146,782,425,408,917,756,332,479,178,874,664,913,178,613,105,903,522,486,175,
920,237,865,468,980,273,424,895,034,863,951,827,360,599,526,712,002,981,735,
460,331,884,196,496,678,341,078,058,311,141,641,332,552,440,898,624,912,745,
314,824,559,355,206,450,216,089,514,540,680,884,046,343,597,957,182,223,164,
006,060,023,577,770,220,137,130,721,483,462,121,143,778,073,025,978,033,594,
234,873,751,961,909,723,148,605,787,834,217,262,979,259,641,044,840,063,255,
150,724,776,856,549,238,999,343,626,148,238,846,553,359,765,716,475,884,233,
345,989,175,654,660,641,024,886,847,012,126,869,296,122,108,257,152,428,957,
357,933,545,828,768,155,063,629,677,255,825,027,080,199,479,275,382,447,300,
042,835,974,335,751,723,672,594,994,455,307,264,321,530,619,692,416,214,892,
888,907,208,692,623,889,165,106,383,276,507,571,766,553,524,459,105,600,310,
412,823,561,020,472,210,814,812,027,766,854,052,000,042,618,309,288,154,329,
767,217,061,562,602,881,632,336,416,036,552,592,371,055,710,401,004,413,021,
154,850,011,253,876,189,706,612,457,073,375,820,654,914,043,525,072,338,101,
840,931,980,547,682,565,108,159,420,252,964,653,453,064,296,638,367,643,597,
578,910,663,892,062,296,331,326,523,637,972,280,412,019,370,095,452,635,028,
760,098,175,411,656,271,313,272,494,874,037,488,527,740,775,512,185,250,275,
023,174,019,010,127,504,250,749,039,613,964,710,462,173,120,254,231,371,677,
774,494,983,941,058,230,781,292,776,703,550,568,368,844,193,045,548,329,578,
117,237,623,132,238,290,018,571,449,106,255,407,068,852,057,029,425,892,518,
008,058,712,718,801,424,579,127,455,937,466,231,583,638,447,171,542,450,116,
639,119,923,064,342,394,328,091,228,336,505,534,344,709,939,386,324,113,515,
350,333,839,821,092,861,705,090,039,746,773,856,486,149,002,531,046,334,688,
424,215,990,923,611,246,292,175,334,866,765,400,244,655,992,954,040,984,596,
384,454,160,714,163,128,079,927,368,004,030,531,752,935,017,413,092,265,456,
522,840,332,804,285,389,196,179,716,551,669,429,913,808,510,155,764,901,840,
596,222,669,130,875,764,652,267,715,199,276,977,801,009,608,185,897,518,516,
247,676,324,831,521,676,422,717,925,162,322,745,168,938,676,241,008,445,991,
085,836,258,039,008,494,612,670,269,703,492,207,981,114,885,942,234,749,088,
735,593,232,130,270,722,710,145,328,666,534,209,695,154,375,184,942,437,469,
446,907,762,500,647,874,072,718,024,668,608,551,634,113,401,060,343,946,707,
618,350,688,498,171,497,934,391,790,376,486,889,831,745,428,846,775,635,968,
952,512,975,201,418,870,966,833,662,108,497,112,437,039,078,936,159,045,887,
158,944,289,936,219,397,638,508,092,162,426,046,853,952,601,699,062,557,950,
601,831,067,237,590,210,056,066,832,978,276,450,466,366,108,336,955,326,632,
909,471,937,282,668,704,962,725,234,080,811,854,902,585,082,075,305,359,179,
156,834,944,872,056,130,700,097,175,928,350,325,540,751,049,921,926,218,780,
643,920,313,449,759,447,911,384,391,769,494,242,779,311,807,523,883,689,256,
893,903,070,180,696,643,351,811,202,802,771,166,409,007,025,494,927,277,081,
866,849,351,812,024,137,730,321,224,489,034,567,887,284,623,290,226,296,077,
074,011,860,363,385,368,935,262,410,161,415,065,358,957,347,406,823,738,855,
979,653,509,382,675,417,097,158,377,829,369,146,023,858,275,114,413,864,634,
461,453,845,744,575,444,632,397,690,764,689,753,259,153,377,990,749,059,437,
894,108,274,800,424,689,834,779,130,094,577,526,313,045,794,713,395,900,085,
917,086,559,910,337,947,240,715,917,253,858,777,194,939,872,573,992,918,595,
706,383,014,918,235,354,115,134,428,396,105,837,963,244,805,665,545,051,461,
181,594,114,068,253,524,175,702,108,792,197,642,300,518,838,371,530,026,038,
282,630,812,255,122,056,348,194,808,506,556,959,164,173,796,355,859,145,937,
150,436,632,365,230,194,187,944,769,338,083,521,016,688,565,812,096,649,674,
149,938,054,044,594,744,703,492,498,360,984,925,199,710,998,959,907,494,531,
929,875,685,498,448,178,576,615,734,735,552,582,173,901,677,349,350,145,005,
802,230,952,366,769,214,376,816,639,963,143,572,267,917,282,649,844,663,790,
057,922,530,176,131,963,971,378,772,098,311,590,308,200,588,875,804,181,609,
759,539,913,907,995,968,967,556,806,073,298,719,556,494,326,730,333,336,351,
932,141,431,553,369,922,902,082,487,916,413,280,854,821,538,437,527,452,378,
465,062,221,055,926,037,005,781,523,066,397,299,023,928,932,513,972,022,272,
006,761,982,010,446,393,519,584,171,326,585,950,017,262,574,531,826,535,234,
403,791,774,250,158,704,192,591,003,401,947,583,263,748,015,034,243,983,232,
952,369,416,460,506,661,534,089,523,258,186,460,499,316,886,551,445,738,658,
322,823,351,677,557,658,692,446,436,467,067,126,650,263,862,678,807,323,571,
747,473,016,516,995,717,379,468,350,219,432,268,544,905,115,425,780,685,736,
803,201,266,488,715,071,086,947,159,756,131,117,316,213,423,566,224,574,942,
715,487,182,090,546,901,316,561,736,009,479,993,274,798,640,184,075,437,786,
046,397,123,139,813,201,099,922,950,891,382,173,250,982,256,305,715,656,246,
692,682,108,274,888,032,995,259,058,744,062,724,268,499,318,955,279,673,906,
513,056,522,509,778,359,646,236,653,185,127,561,406,871,409,423,255,651,401,
018,187,054,123,364,899,466,372,506,575,041,524,671,705,194,804,239,200,913,
604,653,335,211,102,802,075,137,178,718,636,509,400,521,796,253,432,730,649,
425,789,992,224,004,683,423,425,822,934,511,101,784,827,606,466,713,104,143,
074,717,576,949,585,310,146,484,270,993,922,317,742,795,955,546,156,953,302,
638,531,321,777,522,070,746,648,099,410,052,170,624,935,440,080,855,255,060,
201,677,422,372,309,912,663,198,243,590,201,942,340,008,852,598,078,918,336,
049,255,897,087,636,980,839,646,693,568,286,904,577,287,398,699,475,002,245,
542,770,483,222,295,947,427,384,505,184,454,583,562,916,504,509,869,892,334,
646,644,675,734,374,501,030,685,545,304,377,197,523,303,144,250,758,900,633,
246,047,835,942,036,949,040,217,151,231,517,953,591,996,054,874,209,296,467,
943,002,529,319,995,729,525,302,500,354,286,558,133,283,033,582,309,896,279,
894,826,486,175,268,548,488,131,396,802,113,000,431,590,034,655,657,940,755,
634,537,687,784,543,412,373,715,404,347,608,113,577,984,759,333,829,115,302,
778,602,688,380,362,634,756,969,141,969,808,798,907,587,831,538,499,245,404,
443,513,891,867,146,674,511,062,247,538,793,568,569,939,716,543,054,318,327,
493,689,373,884,448,208,641,081,463,527,447,811,081,823,338,529,642,705,837,
558,542,322,152,863,331,983,675,444,365,936,768,434,240,642,922,581,177,609,
596,683,058,243,470,986,913,401,791,462,780,644,682,109,643,668,875,208,707,
224,046,570,416,563,457,865,082,226,837,051,982,746,669,422,862,366,102,308,
145,644,929,109,952,681,510,002,660,676,913,418,021,538,642,262,864,041,683,
528,073,622,051,348,134,781,088,590,129,595,879,063,730,272,507,680,728,572,
816,516,907,822,292,018,375,416,036,870,434,195,187,962,466,670,956,374,919,
401,909,543,128,550,654,797,846,410,868,859,626,306,411,258,551,357,166,662,
623,158,909,725,972,860,321,071,819,001,752,260,017,996,558,022,675,651,681,
787,359,076,388,845,776,776,952,239,101,002,255,405,722,279,262,292,366,909,
401,530,785,230,960,019,328,378,588,165,416,268,758,184,593,790,523,852,951,
060,291,003,529,717,686,830,447,179,741,979,656,268,119,824,765,582,993,980,
656,120,921,681,424,726,717,331,061,401,421,737,532,021,050,372,128,615,258,
315,844,333,005,381,024,028,920,425,937,698,452,097,982,941,897,923,819,875,
837,174,238,702,172,994,398,675,299,909,079,580,694,910,357,015,023,104,074,
407,200,756,389,135,645,104,498,891,699,088,561,545,023,722,739,676,090,606,
309,629,203,034,100,872,092,485,900,329,227,828,142,759,718,165,254,344,286,
453,012,241,754,526,389,520,963,526,797,508,899,482,258,238,244,961,056,764,
531,170,081,544,565,313,941,004,983,707,236,888,747,141,352,854,281,062,370,
729,540,524,407,274,138,690,824,287,600,556,077,737,647,497,984,971,267,599,
300,831,843,110,997,174,598,856,685,903,442,583,008,651,575,493,067,041,552,
459,953,803,723,419,437,224,573,711,319,962,093,607,826,377,049,962,068,460,
553,525,324,445,352,319,134,775,693,365,306,633,645,645,528,430,288,582,963,
501,482,351,322,914,832,643,881,160,585,177,553,067,487,765,136,848,468,696,
254,883,297,228,386,761,615,225,115,251,561,568,207,740,281,954,363,580,230,
067,841,786,226,592,493,200,358,615,163,529,731,392,147,619,411,817,298,604,
270,742,834,586,179,538,683,531,201,007,071,850,906,583,626,000,658,530,502,
996,694,152,066,441,120,049,123,529,259,023,448,833,790,732,113,428,522,473,
406,065,813,950,341,683,224,235,109,097,000,897,912,120,701,478,775,514,988,
926,306,306,404,236,946,506,424,169,447,619,294,240,610,115,698,262,228,202,
344,333,408,232,371,738,247,868,203,162,490,795,870,217,017,688,956,016,244,
195,704,715,880,962,982,874,635,676,546,639,797,065,728,340,617,370,564,304,
924,220,174,996,393,348,892,649,611,924,993,023,342,988,980,510,276,563,890,
114,340,242,737,174,081,962,230,275,807,323,337,716,177,346,857,309,615,727,
838,602,309,755,234,344,103,332,227,655,341,344,098,028,519,586,902,973,058,
209,035,947,444,465,989,334,137,479,089,503,932,761,039,263,140,237,499,084,
602,006,192,593,009,554,376,369,352,728,674,666,566,088,671,889,210,820,204,
548,168,195,805,351,843,450,622,336,499,106,689,826,350,861,540,801,842,173,
904,067,226,954,810,359,357,075,589,355,506,847,098,711,737,196,660,214,112,
916,233,614,734,724,435,885,187,604,259,662,442,478,840,825,925,966,158,968,
388,442,536,899,918,707,301,730,919,269,231,885,000,057,100,551,167,183,835,
664,446,441,134,052,426,376,555,646,623,504,323,501,600,782,085,022,312,862,
297,989,407,452,656,556,559,631,874,487,575,192,970,834,099,866,136,250,079,
051,355,645,116,366,066,305,486,784,270,797,408,360,009,938,059,618,707,718,
608,925,362,050,786,952,778,101,595,350,775,286,260,248,287,729,854,013,846,
737,783,274,585,443,876,170,399,786,027,524,592,156,305,419,243,655,208,699,
421,167,234,832,976,006,753,892,299,970,141,214,883,230,420,246,505,429,663,
564,222,013,199,302,803,637,120,916,800,315,089,544,243,502,910,936,716,764,
292,803,410,511,877,550,339,231,727,673,328,804,210,057,599,682,255,912,969,
888,779,817,139,998,332,521,772,771,262,699,566,616,366,298,029,308,409,592,
602,764,821,850,642,862,918,853,577,727,658,253,369,931,032,994,768,458,684,
400,469,147,410,608,588,469,209,248,705,956,946,146,132,641,901,755,080,030,
790,845,104,487,769,753,728,322,134,098,971,301,261,591,650,904,461,247,371,
731,771,915,591,870,181,926,962,728,157,361,811,450,032,771,862,223,157,710,
636,884,828,604,757,602,666,832,775,642,732,596,022,599,291,703,601,380,104,
386,538,491,026,550,399,537,172,810,573,772,405,437,378,380,979,930,340,303,
753,235,885,023,873,120,674,139,324,457,027,885,336,761,405,590,010,928,749,
237,639,084,309,844,104,251,505,664,925,717,983,708,917,040,199,634,616,484,
268,555,505,705,180,428,348,444,272,888,003,995,462,649,056,762,695,608,276,
912,709,118,346,888,633,407,014,989,496,949,805,029,555,280,224,143,501,387,
171,142,261,863,243,340,717,315,783,287,416,095,819,592,505,198,847,142,542,
709,894,296,070,578,844,825,832,102,950,748,493,595,692,673,874,395,387,382,
974,983,221,268,705,126,623,271,473,086,344,743,442,189,732,286,737,992,962,
551,804,356,500,252,876,388,432,386,693,414,950,819,259,976,077,955,835,635,
357,689,238,892,719,321,453,171,179,811,885,487,223,326,328,266,713,848,292,
079,657,616,881,235,987,883,360,279,484,587,405,432,488,748,088,804,269,896,
642,101,842,344,834,896,147,199,152,033,157,208,894,328,136,385,942,792,778,
176,385,622,775,123,376,151,115,508,685,238,508,068,081,584,971,779,446,777,
239,226,783,302,870,039,419,894,444,553,971,988,387,719,788,902,558,563,703,
655,269,270,022,766,568,478,795,230,602,188,059,658,547,664,017,554,753,485,
768,686,355,323,431,229,758,379,864,061,741,486,284,862,102,382,085,770,416,
958,029,615,558,248,979,698,871,735,264,698,948,109,791,829,686,379,523,710,
308,227,455,891,899,086,891,325,977,612,111,267,954,533,933,340,003,092,172,
902,798,914,864,830,845,132,544,633,002,793,079,570,213,764,466,381,320,728,
254,395,246,269,041,718,655,377,811,136,852,552,183,675,952,381,075,411,976,
710,485,988,266,690,948,041,924,194,670,623,249,953,680,327,159,426,674,672,
557,950,105,267,818,844,235,606,999,078,460,841,072,663,994,545,980,402,295,
160,681,652,713,810,114,571,727,623,451,148,311,999,572,194,653,588,101,834,
122,943,302,624,583,012,732,488,854,210,097,118,263,688,197,653,510,227,821,
279,435,627,215,857,956,739,891,067,495,612,523,825,176,735,235,197,014,008,
674,636,696,255,263,387,704,379,970,798,669,895,561,000,784,002,420,484,626,
064,793,838,798,120,153,680,009,630,706,545,186,259,589,375,104,873,984,201,
206,549,833,442,759,188,798,330,872,255,137,029,423,079,504,159,882,872,786,
162,963,637,528,674,568,903,692,772,967,185,706,063,547,419,936,439,770,442,
756,354,139,065,446,529,069,967,206,655,022,254,304,945,610,187,918,563,780,
882,212,590,337,438,358,309,252,029,759,735,350,413,349,622,541,053,673,913,
424,472,712,170,291,440,591,832,672,431,582,916,743,957,223,669,195,799,712,
516,132,808,548,424,108,302,870,296,154,639,627,328,672,347,992,964,756,933,
423,165,786,393,461,459,397,708,106,179,625,372,539,294,201,258,800,784,314,
063,727,688,453,919,745,097,915,172,569,844,199,721,525,034,939,653,418,724,
691,361,062,258,496,100,841,478,911,226,203,317,104,122,284,478,239,826,898,
267,853,722,769,959,695,724,000,574,372,320,828,276,184,917,917,262,842,231,
584,092,274,043,598,855,884,340,915,160,689,957,239,160,775,764,167,638,223,
444,551,734,053,321,300,606,382,191,408,732,626,931,714,655,992,409,310,496,
416,824,203,539,803,326,708,114,291,758,280,886,106,602,346,491,278,763,396,
755,070,529,448,959,662,370,267,603,696,363,183,842,884,544,718,536,859,381,
645,676,083,894,143,700,049,664,432,162,649,884,167,037,334,783,950,157,220,
443,395,477,774,319,303,220,689,972,676,494,609,592,599,599,563,635,728,826,
654,113,177,534,449,915,151,834,708,024,604,731,743,763,468,978,947,557,697,
593,240,290,374,446,727,049,992,045,314,415,270,775,304,630,870,020,210,180,
415,891,853,067,099,244,172,891,666,276,620,195,377,405,999,888,472,342,244,
702,422,570,384,720,252,758,777,312,209,102,443,339,570,989,629,910,434,838,
214,637,735,043,834,314,648,482,292,148,396,063,269,026,781,377,156,753,281,
158,801,527,795,943,128,039,881,496,363,161,240,942,549,445,175,004,150,510,
506,017,170,666,827,385,631,039,328,745,157,711,107,287,751,938,464,593,391,
164,316,949,949,438,068,685,356,021,752,693,477,063,294,981,284,046,384,040,
961,201,810,540,947,222,894,204,631,688,769,203,079,227,013,733,878,141,384,
324,312,214,290,068,654,087,549,122,264,388,933,729,457,204,612,214,673,739,
720,253,367,363,070,780,528,584,997,507,527,360,724,790,858,443,122,857,159,
370,299,169,572,938,790,234,778,883,795,376,227,562,783,568,274,273,734,632,
142,034,516,998,691,887,743,062,108,175,836,005,266,142,864,731,329,860,088,
170,155,715,591,892,430,264,768,860,883,875,644,533,142,353,715,799,117,747,
686,675,607,502,542,852,558,371,748,012,301,368,623,712,721,214,647,327,041,
574,975,762,202,278,933,299,748,714,748,578,398,407,034,123,994,389,162,242,
067,572,352,752,653,179,223,185,623,049,580,805,640,995,763,073,126,415,255,
377,670,174,275,700,957,959,424,077,376,753,688,689,510,646,805,357,023,931,
458,226,302,631,413,555,187,787,573,089,585,790,582,415,153,206,027,987,692,
720,027,646,753,752,216,611,709,486,334,057,657,446,979,484,989,827,677,740,
372,306,012,901,415,622,951,329,991,552,518,990,631,575,413,658,058,158,999,
967,409,992,267,008,040,090,010,993,063,414,198,760,209,260,037,906,025,065,
143,561,751,140,804,993,704,869,444,187,105,795,603,262,425,722,813,613,835,
241,681,549,099,493,962,074,346,334,935,574,227,526,168,693,829,287,582,933,
641,928,034,586,465,807,606,206,259,252,981,471,460,394,455,662,532,010,127,
106,138,360,391,182,564,130,612,821,566,727,671,019,711,833,476,339,652,229,
454,005,915,387,915,269,750,395,090,306,370,141,152,646,088,822,397,923,245,
005,699,542,200,039,204,441,017,050,338,131,562,493,769,761,807,390,991,808,
281,703,123,578,159,872,443,854,462,298,479,125,188,364,319,056,883,175,769,
638,068,654,402,159,376,624,996,619,295,401,312,833,063,403,209,991,766,426,
396,711,003,591,468,903,935,497,198,641,198,686,544,267,387,817,243,825,122,
755,356,627,261,123,688,020,153,565,872,027,875,658,851,550,128,076,576,006,
223,524,900,383,711,342,916,301,341,520,256,358,792,061,682,230,453,636,112,
946,603,540,567,966,140,591,046,783,379,649,195,871,637,033,441,219,652,128,
142,958,815,151,983,925,724,380,577,154,042,199,208,975,025,938,041,157,957,
393,931,841,579,439,908,224,983,856,295,557,398,650,158,808,505,458,916,941,
532,730,529,509,757,577,529,379,827,939,564,309,093,800,798,211,101,154,361,
334,120,395,178,455,323,293,355,967,350,455,723,536,500,847,846,322,105,757,
430,918,923,091,084,938,375,931,186,728,699,198,086,406,253,650,076,058,876,
160,705,880,898,853,698,779,289,000,885,569,659,251,401,725,020,606,116,879,
834,598,856,987,397,706,122,279,459,034,141,334,845,923,766,309,842,095,448,
532,817,382,998,891,601,291,876,193,385,952,398,359,457,147,808,674,361,067,
900,930,690,645,221,724,231,574,702,612,133,222,908,012,973,943,937,533,614,
380,735,384,438,449,678,287,747,190,587,264,269,649,083,329,440,176,720,166,
191,198,856,549,259,199,828,381,803,787,660,099,236,032,921,496,554,958,870,
202,866,207,914,361,129,864,790,662,843,051,890,677,300,955,291,080,179,254,
333,107,900,958,750,146,896,631,449,743,800,032,605,466,096,076,787,083,565,
020,453,951,027,854,414,552,765,437,688,282,438,593,398,730,281,706,592,519,
615,804,352,699,287,820,557,516,517,118,266,491,953,180,968,026,508,672,535,
538,025,492,273,179,093,654,029,764,802,968,805,634,007,323,800,806,810,709,
318,344,668,795,656,611,909,825,618,565,889,935,294,034,065,396,752,178,566,
876,888,229,180,292,745,452,588,279,503,411,863,753,329,826,279,096,132,059,
234,992,961,978,973,045,159,967,595,494,276,458,063,261,750,973,780,517,332,
319,862,173,161,250,066,872,943,577,917,369,377,145,497,786,941,865,950,814,
422,961,757,718,126,191,101,425,417,193,565,729,861,378,121,083,989,687,304,
238,876,553,401,868,990,557,542,681,311,225,981,892,411,156,736,858,187,905,
961,850,868,356,860,411,878,025,064,823,941,180,990,172,437,472,889,057,078,
023,842,712,651,528,985,289,389,720,662,452,149,243,692,506,672,699,894,603,
651,514,708,393,797,163,979,724,714,747,652,737,835,643,075,866,074,323,033,
334,102,864,962,464,789,785,765,095,371,704,803,329,315,281,921,185,581,837,
561,845,358,163,492,240,692,355,475,161,105,524,333,088,609,266,568,426,604,
810,901,724,071,976,018,896,491,570,181,758,227,613,293,750,277,841,593,410,
161,878,111,381,482,317,535,045,408,125,905,069,727,677,377,281,023,508,714,
965,018,784,102,695,205,340,208,743,118,136,096,207,840,250,679,071,399,616,
656,448,735,094,789,453,751,538,591,686,701,460,805,298,513,179,085,807,324,
576,047,445,205,425,892,490,769,541,615,918,355,706,095,127,479,985,660,730,
293,030,767,767,485,725,344,609,725,597,920,171,535,218,062,778,737,447,670,
130,802,272,066,756,290,836,889,884,294,769,102,549,817,430,939,257,104,045,
020,145,841,867,455,041,498,753,691,269,754,356,035,957,957,264,774,237,396,
849,868,734,747,752,018,144,330,702,168,713,568,288,438,165,435,639,994,556,
786,723,228,390,615,216,367,927,239,349,678,259,108,045,686,413,145,980,146,
365,909,660,030,941,705,682,026,772,529,925,252,277,060,985,202,553,736,819,
307,578,437,680,166,951,362,904,465,630,228,567,824,016,337,780,843,098,195,
977,496,880,759,293,393,581,348,026,520,885,314,080,475,075,319,633,363,771,
069,915,773,408,633,025,674,846,880,381,452,804,691,681,524,873,163,185,177,
502,624,080,367,086,806,926,311,315,765,885,410,499,692,777,589,520,344,171,
946,156,108,682,668,274,063,023,340,803,980,951,648,348,428,426,173,146,707,
893,486,834,415,366,306,255,036,941,638,046,098,256,825,796,357,499,011,882,
726,871,498,781,813,341,252,660,177,668,802,973,382,394,273,908,538,420,236,
217,604,769,916,675,720,018,592,353,724,063,030,492,267,888,803,713,659,967,
659,393,460,719,014,525,374,208,224,741,055,181,738,953,425,248,089,188,038,
543,662,701,072,388,937,617,992,232,844,275,929,249,608,451,178,985,422,551,
284,749,392,635,397,632,506,073,961,925,934,281,653,296,237,732,964,933,662,
778,252,063,541,576,787,265,369,007,861,376,796,384,515,114,205,535,188,024,
954,661,145,222,980,758,449,880,783,646,889,089,600,805,383,337,161,942,337,
099,539,763,692,629,244,148,803,431,159,250,167,586,493,874,663,285,493,073,
906,405,445,071,832,148,088,744,751,562,609,543,178,396,211,340,767,042,579,
641,839,622,486,459,942,536,419,908,027,221,534,404,922,899,041,288,210,179,
944,702,445,506,601,302,325,019,854,377,213,761,425,399,298,075,346,740,312,
539,331,619,136,397,198,294,923,441,372,274,362,212,258,999,887,567,635,489,
895,527,755,890,995,069,609,788,842,096,421,355,876,454,812,700,675,347,022,
657,100,578,135,023,378,082,476,435,008,192,380,928,388,707,061,877,497,507,
048,931,293,233,301,110,476,880,510,939,080,279,647,787,385,773,212,502,028,
295,348,929,847,113,785,451,734,111,818,697,255,245,740,387,975,230,285,984,
401,870,087,839,650,666,968,341,723,092,654,147,656,527,853,972,837,248,794,
357,596,087,759,949,872,452,872,132,858,621,473,851,670,404,256,952,632,116,
187,183,126,399,388,177,173,502,903,174,691,322,916,640,163,396,089,568,995,
875,592,720,961,851,153,694,075,609,634,541,853,378,872,651,573,586,475,608,
808,709,229,630,365,485,607,947,935,363,550,339,280,657,034,601,669,096,100,
004,330,686,144,765,740,699,345,957,003,229,782,237,100,962,449,327,645,206,
460,277,995,140,433,287,582,297,570,609,572,428,835,644,948,653,545,752,824,
073,350,570,753,498,524,658,445,637,564,483,541,720,520,857,778,049,846,102,
881,473,307,468,388,700,605,645,446,101,090,071,518,357,816,190,289,889,173,
115,266,238,933,859,896,657,510,037,770,636,218,508,860,727,230,530,855,615,
731,867,392,347,810,042,080,902,396,782,054,873,170,218,728,454,519,398,326,
263,119,974,189,051,448,535,414,871,694,375,770,249,743,072,854,492,372,286,
080,897,389,804,713,278,084,593,282,805,205,789,104,625,858,683,140,800,139,
176,105,963,113,313,224,966,769,670,619,005,883,174,388,312,420,314,393,340,
081,440,870,231,945,780,407,416,876,682,194,422,903,594,210,176,274,695,541,
480,256,652,892,731,691,271,237,044,547,165,246,225,965,650,641,959,586,392,
132,653,962,316,783,738,664,071,341,151,965,523,120,474,031,688,557,784,848,
092,663,225,923,762,998,877,953,624,784,356,500,802,971,211,471,710,701,347,
500,567,254,907,857,340,320,158,517,728,620,113,487,192,413,353,109,140,227,
667,343,564,330,864,116,206,305,094,072,068,791,675,217,500,947,069,447,240,
666,984,634,193,768,792,230,401,560,672,248,753,778,496,523,020,648,151,738,
989,370,837,474,912,238,567,714,452,062,533,689,562,601,203,086,799,993,690,
629,363,556,175,764,711,430,453,130,606,123,861,203,746,051,315,522,438,478,
994,847,187,989,153,674,238,614,753,639,610,948,242,685,859,114,388,755,658,
207,125,595,565,415,322,473,062,413,523,490,119,956,067,456,902,470,257,510,
422,759,295,166,812,458,127,859,526,404,691,571,436,737,839,297,212,349,304,
962,251,483,295,974,430,789,022,187,621,683,768,230,371,443,687,346,523,999,
381,076,206,722,092,150,571,133,887,434,637,573,813,466,924,775,706,662,886,
285,790,779,991,891,402,465,361,836,748,351,678,872,644,812,141,490,250,660,
123,562,874,438,420,775,461,413,003,860,413,508,745,581,157,284,459,961,065,
569,919,939,389,315,303,132,657,608,530,888,011,300,940,589,864,106,312,327,
430,270,361,111,020,334,832,318,651,290,074,431,318,342,020,354,340,165,292,
668,491,032,933,415,310,880,981,851,616,767,397,862,194,078,025,326,134,520,
928,731,991,120,624,180,772,517,228,820,549,771,225,062,539,027,786,383,905,
764,993,903,957,282,589,894,475,861,354,159,969,702,313,716,882,678,563,665,
634,137,384,996,676,640,639,707,550,244,733,586,106,424,841,151,227,490,737,
986,624,103,052,790,652,252,604,558,126,166,583,939,630,785,741,057,940,769,
362,281,505,846,485,551,061,571,523,520,922,334,899,132,530,185,069,670,514,
685,923,478,785,365,140,707,728,833,415,928,211,649,872,054,534,966,733,694,
295,000,750,654,135,065,516,207,826,401,031,136,827,619,970,461,274,274,116,
870,510,706,796,790,371,737,588,782,038,609,883,289,143,513,766,002,869,539,
421,138,096,309,143,683,469,428,571,038,572,682,535,412,918,135,618,675,180,
448,536,728,834,213,883,846,465,494,935,360,475,343,157,384,898,099,281,325,
724,742,962,071,002,516,909,710,641,347,121,792,840,038,704,377,496,561,822,
309,756,934,011,313,904,714,039,490,553,255,738,034,834,113,980,523,051,753,
800,228,701,929,591,957,172,042,298,666,517,532,191,232,005,524,658,085,036,
278,946,456,040,005,159,302,122,703,979,097,921,361,680,841,988,475,208,811,
577,609,051,118,651,858,565,119,505,473,486,870,729,191,406,498,011,965,519,
024,857,507,251,830,050,778,552,278,811,729,521,327,210,709,892,016,353,299,
491,770,124,824,475,291,918,832,901,441,371,077,915,255,764,353,802,894,055,
004,977,285,717,611,415,873,357,921,064,578,410,626,749,011,328,140,275,491,
611,936,018,672,233,474,648,602,151,922,037,006,258,621,688,562,199,652,666,
725,700,191,268,880,386,978,640,596,290,360,021,539,924,022,624,946,258,427,
787,886,762,752,164,126,173,285,788,319,915,264,370,607,836,397,120,019,301,
043,291,389,491,811,099,591,036,122,311,778,497,651,650,625,366,986,005,841,
053,423,948,196,736,424,246,629,304,564,902,272,503,605,636,572,367,290,742,
413,785,197,523,819,007,929,357,191,925,371,954,787,587,951,814,716,944,046,
429,903,401,144,393,921,299,620,951,720,058,911,341,385,607,379,590,313,262,
507,344,567,316,298,871,449,301,324,760,116,899,973,896,462,337,018,223,475,
286,061,460,170,448,644,767,433,492,656,399,288,747,325,435,329,211,738,349,
134,172,210,447,960,313,812,418,460,706,844,292,642,850,495,243,217,120,525,
975,178,015,176,364,203,614,123,495,937,703,583,260,942,214,006,065,221,839,
207,062,185,815,239,921,716,963,766,537,430,765,555,282,995,612,995,924,996,
563,382,383,006,042,274,032,876,452,103,556,078,020,476,753,320,003,636,513,
687,867,763,756,957,854,437,207,588,033,280,338,145,549,897,561,638,247,844,
302,913,028,507,037,507,880,796,575,673,420,350,854,787,415,054,665,398,348,
265,450,485,082,248,352,823,052,801,506,440,762,102,071,964,295,901,945,929,
310,634,657,531,776,637,912,497,411,877,421,811,956,463,828,140,419,361,066,
711,827,314,952,163,973,819,964,684,926,427,876,289,467,292,296,646,738,973,
166,751,776,822,140,391,813,666,641,486,006,099,327,364,009,119,219,046,409,
720,848,964,986,394,917,247,901,295,930,910,856,718,697,722,372,063,961,066,
963,097,844,840,555,415,514,381,292,278,201,365,088,217,686,646,506,007,261,
006,629,206,416,333,592,592,125,605,378,668,678,104,298,867,614,124,242,663,
209,062,535,422,434,891,089,756,132,894,560,370,053,074,615,384,070,258,087,
243,218,093,096,269,192,051,945,970,452,751,184,844,667,850,725,869,959,360,
912,842,516,050,946,328,837,437,264,741,638,933,354,528,049,048,188,516,989,
867,457,079,592,889,231,207,709,557,988,647,834,189,884,723,751,990,884,443,
823,013,350,413,276,661,634,218,181,138,912,181,996,362,528,398,969,632,761,
841,558,456,862,217,198,149,670,638,823,489,913,025,925,706,272,743,635,294,
649,699,334,704,174,778,503,683,953,455,261,369,275,257,132,982,419,472,037,
833,402,627,118,099,653,331,412,104,493,018,708,367,362,414,721,405,438,253,
716,820,147,590,679,344,599,641,232,729,745,630,077,539,854,109,387,663,102,
768,379,988,925,097,000,141,571,059,226,206,115,276,098,231,025,767,324,093,
397,894,104,139,392,350,916,813,590,895,522,363,486,482,478,321,759,392,494,
928,844,282,185,652,707,066,662,543,883,641,056,179,471,313,531,134,441,131,
529,076,065,562,979,871,187,696,311,390,156,688,578,112,030,731,065,188,670,
275,478,605,464,193,213,995,120,957,404,034,312,185,033,946,166,249,401,289,
634,559,400,867,053,973,728,863,385,108,022,686,092,704,150,449,454,038,710,
894,264,864,158,511,106,547,115,697,941,432,233,486,588,609,310,826,926,176,
338,897,956,679,827,515,757,512,604,107,672,770,985,551,384,392,585,521,044,
822,846,800,697,557,424,460,211,315,380,349,974,729,944,449,454,367,865,250,
213,487,899,402,179,869,754,088,264,532,584,376,079,205,707,629,426,384,567,
359,066,694,134,930,288,527,923,901,505,452,419,963,880,446,818,074,717,673,
274,603,963,743,226,018,023,833,353,759,202,919,318,255,925,624,179,250,425,
744,154,988,981,343,078,590,235,718,793,872,493,137,027,582,479,514,964,646,
099,023,004,716,618,235,036,936,308,758,415,991,977,317,007,774,722,001,903,
431,538,550,491,009,943,414,650,047,376,301,776,042,386,368,762,558,855,470,
587,945,666,191,417,980,427,923,846,449,161,860,290,731,987,968,819,031,676,
370,283,608,847,940,526,259,524,789,985,175,573,588,968,022,975,804,269,788,
324,615,585,336,526,868,886,213,915,001,532,364,943,721,908,414,698,460,537,
896,607,351,673,083,159,699,772,026,197,070,231,750,973,846,348,150,800,823,
978,131,312,779,958,357,496,003,891,841,077,257,496,565,220,872,463,338,089,
008,265,159,772,172,277,397,788,786,072,313,303,529,874,070,373,079,350,726,
620,070,153,225,920,877,830,693,250,116,106,468,698,740,651,761,291,790,704,
570,095,279,242,223,215,487,687,625,342,654,687,710,602,998,818,437,118,898,
274,485,900,482,005,339,991,429,716,791,094,601,324,972,785,881,872,739,010,
087,844,421,156,875,479,102,659,504,549,969,023,672,212,388,733,277,289,146,
376,472,106,458,111,028,949,937,582,007,619,166,957,243,775,406,173,552,726,
708,031,397,518,163,481,999,007,451,936,305,990,641,320,071,693,716,159,800,
634,436,490,741,714,960,678,599,754,157,340,201,703,713,268,156,240,494,964,
147,241,254,941,573,442,988,622,178,136,739,469,148,681,185,714,382,453,061,
325,051,975,026,313,255,624,015,515,319,411,888,842,137,541,498,245,604,090,
845,664,813,422,818,326,338,224,244,003,911,319,381,254,573,861,566,045,722,
752,339,993,470,648,374,398,919,690,813,084,932,274,793,892,327,352,480,898,
495,397,542,874,495,868,684,064,820,590,177,089,731,271,295,272,297,060,950,
169,437,916,540,302,910,486,511,127,555,540,143,762,490,570,978,024,313,712,
908,841,754,065,644,487,373,645,853,036,058,857,761,524,431,300,865,622,816,
680,821,225,938,425,616,722,210,801,699,534,912,950,418,727,555,839,480,963,
903,432,604,237,605,388,613,910,876,911,372,793,595,415,551,514,763,587,776,
449,181,877,499,238,716,036,055,742,128,684,155,009,672,799,310,793,817,042,
053,917,274,778,934,569,160,013,937,570,337,279,374,212,334,958,311,009,944,
269,739,839,036,588,903,845,586,795,303,322,919,265,914,165,859,914,991,071,
437,161,793,791,259,791,084,193,820,265,609,012,018,411,873,351,027,760,956,
524,966,489,757,725,009,759,514,540,686,167,706,357,630,377,354,261,912,584,
898,021,700,073,276,284,331,387,067,038,478,221,446,619,888,056,961,279,967,
467,179,050,314,857,015,453,020,444,013,993,349,769,436,273,749,009,262,827,
207,686,728,605,521,301,489,873,731,354,937,221,233,729,650,069,031,983,022,
197,239,073,803,813,731,890,426,724,326,114,436,781,184,651,381,034,029,028,
454,391,969,710,048,020,287,197,076,884,859,225,767,141,632,677,944,298,752,
757,195,476,298,372,127,891,024,987,724,650,450,275,213,359,210,149,764,631,
393,413,761,077,151,869,920,932,612,351,026,689,081,728,585,047,457,007,102,
608,824,581,846,099,103,212,310,603,971,147,808,395,068,457,165,967,293,076,
104,936,697,766,466,642,621,087,099,791,318,220,024,620,536,563,352,108,100,
569,617,526,644,229,248,641,702,166,936,195,240,875,219,230,169,521,293,465,
849,487,006,795,554,348,188,011,233,223,219,784,790,802,236,323,449,941,828,
557,448,050,052,905,156,375,343,708,372,444,591,220,166,392,918,106,990,142,
680,665,069,360,452,572,045,834,802,260,932,310,949,504,658,112,327,809,606,
730,002,394,691,629,471,321,507,005,559,174,652,840,255,972,742,427,520,671,
519,906,276,147,566,318,848,592,306,648,250,199,832,312,430,894,918,540,055,
318,952,704,415,597,121,768,168,371,684,059,703,014,001,578,079,807,222,484,
880,065,428,586,163,336,122,075,276,948,444,873,040,823,752,601,638,312,995,
894,305,670,324,751,577,444,621,272,344,240,222,860,819,760,229,209,906,204,
588,914,246,449,557,565,775,850,155,557,261,931,944,531,157,177,624,664,918,
341,205,460,979,811,564,250,563,364,503,890,772,937,910,183,189,380,506,451,
135,008,497,675,484,764,753,271,121,727,421,042,354,910,259,580,146,465,709,
609,229,579,545,013,778,224,423,643,793,439,847,154,709,311,584,783,206,525,
436,706,107,090,124,464,238,881,031,768,560,957,917,516,131,266,563,812,487,
866,450,066,881,158,332,593,669,566,360,894,174,915,371,253,816,841,052,578,
469,502,103,996,472,569,565,648,579,235,844,713,797,008,006,967,268,587,816,
224,732,636,065,950,066,338,210,522,271,696,894,111,558,827,497,734,461,571,
101,037,505,928,174,322,353,395,883,396,231,003,777,960,665,716,422,337,830,
441,765,043,193,024,358,506,714,621,870,648,279,794,428,436,994,708,087,422,
834,570,052,861,269,057,428,263,217,867,483,582,257,814,244,368,499,224,149,
252,008,186,139,780,450,977,352,001,647,348,998,842,901,204,301,371,787,105,
002,226,069,260,055,228,463,371,951,034,768,795,889,692,948,495,086,598,396,
562,647,548,600,670,930,483,214,740,337,871,559,434,307,607,468,730,312,285,
309,804,831,451,329,777,130,774,160,755,054,940,438,653,574,736,741,702,522,
472,947,928,955,340,777,929,461,288,016,313,022,781,512,590,681,254,387,628,
688,480,899,470,074,747,796,943,792,370,089,421,766,424,830,037,687,786,735,
988,246,019,535,046,679,993,434,206,630,645,549,563,871,675,599,849,987,665,
340,775,853,704,236,120,674,333,290,364,307,975,684,358,183,917,462,336,269,
682,539,849,521,605,558,182,814,530,806,885,084,705,458,950,464,649,801,869,
661,887,652,334,851,646,589,857,579,977,845,140,594,327,429,713,250,042,405,
554,936,455,719,899,167,173,570,485,214,180,917,681,128,152,472,097,845,691,
349,143,099,184,947,141,872,545,512,424,302,555,433,075,296,199,005,188,744,
679,625,353,468,248,330,187,707,336,527,099,722,034,522,829,635,903,761,935,
475,640,187,753,368,162,066,335,724,623,946,044,183,266,407,878,706,479,105,
101,361,616,673,340,076,631,747,756,690,950,633,941,590,562,186,150,647,786,
446,720,222,905,648,707,955,275,263,974,365,640,340,599,549,096,867,453,386,
241,887,346,668,666,118,316,502,532,734,079,425,941,646,615,869,189,545,676,
306,493,562,070,949,135,829,466,616,802,016,898,120,593,907,965,674,004,143,
436,634,311,439,157,278,397,013,047,940,290,449,420,155,796,208,821,123,558,
037,742,923,503,227,307,568,799,731,873,440,309,575,739,348,583,483,800,679,
718,188,245,258,301,051,955,756,336,300,396,666,789,429,907,859,330,363,909,
051,456,248,029,469,594,646,475,285,208,317,380,435,956,168,501,711,735,364,
220,098,645,041,357,683,310,665,127,191,820,846,456,401,413,378,738,922,317,
295,807,680,671,958,058,199,290,828,076,278,909,968,601,857,411,186,998,035,
180,377,152,940,550,764,836,231,282,422,272,030,460,238,743,417,321,871,974,
289,688,126,323,718,234,636,363,556,411,203,568,233,648,806,602,648,646,478,
929,287,546,418,348,722,652,115,619,282,023,562,886,089,104,416,796,557,293,
783,634,370,190,685,544,870,081,049,961,834,127,042,621,832,293,236,862,539,
504,116,370,758,485,013,825,048,964,651,346,932,701,832,244,115,178,986,512,
783,458,613,438,957,104,017,700,060,172,576,367,714,584,404,807,488,337,957,
691,170,544,219,402,564,267,921,308,206,304,936,409,126,739,250,066,064,551,
816,236,075,352,950,815,807,686,477,221,951,181,391,328,599,918,472,546,764,
264,104,465,172,515,767,572,140,047,545,379,443,353,260,707,042,225,532,302,
268,150,786,930,691,073,708,135,698,920,836,960,305,959,836,970,743,233,649,
138,737,907,152,680,291,659,738,551,600,282,412,117,212,212,143,860,932,384,
713,666,503,803,451,236,895,627,557,966,778,150,143,423,862,657,891,478,549,
828,534,488,908,011,594,317,804,977,065,716,251,680,072,816,937,498,569,440,
413,256,266,114,127,848,580,348,474,444,407,138,790,391,368,834,394,543,071,
082,597,743,959,565,702,882,295,755,825,422,712,874,628,188,115,738,404,489,
806,665,714,447,590,050,613,210,227,449,518,494,399,792,157,413,376,180,372,
687,095,858,117,682,886,755,544,588,549,986,677,711,923,729,631,650,522,279,
577,174,520,141,137,963,073,736,125,709,701,276,105,342,538,543,494,482,060,
052,801,538,247,968,033,757,908,486,823,762,633,737,965,714,929,016,891,279,
429,955,343,315,081,106,847,722,358,700,032,527,240,460,896,051,430,856,898,
704,880,497,628,635,443,992,895,658,399,983,086,593,354,154,292,242,825,075,
314,512,664,900,500,981,408,290,314,818,697,730,534,328,346,181,283,491,742,
122,148,748,139,159,603,150,844,185,147,743,654,408,097,611,250,274,053,305,
927,386,640,566,863,611,715,500,596,710,277,107,431,856,142,594,662,808,355,
952,855,760,933,803,010,533,632,712,442,182,419,755,859,022,894,316,173,597,
109,264,369,354,382,189,307,657,650,065,880,469,773,190,594,277,566,308,563,
265,430,265,790,856,415,073,410,886,341,019,867,334,492,492,672,036,532,004,
751,444,318,418,507,276,467,193,833,415,579,987,539,862,631,312,978,852,541,
736,189,485,532,328,041,953,236,806,205,228,481,806,267,374,879,937,790,947,
256,684,375,073,901,696,945,271,458,718,631,198,629,151,896,990,777,481,963,
800,228,235,565,199,366,957,988,444,271,997,804,112,558,777,578,593,648,917,
803,865,464,610,913,601,521,871,863,498,598,640,847,187,175,750,909,688,906,
252,204,685,140,102,631,087,500,715,023,206,620,164,690,123,671,933,108,992,
554,662,794,463,971,971,604,800,558,603,252,643,824,153,623,930,924,522,585,
215,881,764,275,671,647,056,245,447,145,154,248,924,663,710,461,044,731,864,
711,785,033,118,010,554,191,494,765,076,929,895,557,113,138,734,408,176,586,
903,755,684,721,430,007,515,227,406,212,292,924,539,534,867,266,428,704,051,
557,291,665,439,158,862,000,946,752,262,858,684,245,757,723,339,765,486,115,
826,142,443,211,684,174,347,278,266,118,358,310,413,093,908,310,343,053,169,
981,287,162,138,379,929,007,419,927,213,944,270,984,767,488,058,303,959,561,
129,212,839,890,427,803,790,141,265,335,072,576,484,558,393,474,444,666,513,
822,205,253,512,256,517,805,834,187,584,646,613,496,414,342,132,606,970,901,
154,831,280,129,296,305,128,104,608,189,937,305,983,257,392,726,920,729,713,
726,055,641,511,956,728,432,554,740,217,818,595,228,896,796,349,429,256,118,
498,288,339,935,299,124,709,167,218,624,499,463,337,475,211,096,647,933,972,
183,340,894,668,410,391,412,050,636,675,638,002,982,992,899,742,980,064,312,
420,680,609,072,599,834,277,282,630,625,075,998,690,422,659,805,091,920,402,
153,615,470,152,298,436,069,256,621,473,530,133,224,496,956,065,305,605,456,
942,737,936,797,300,939,071,038,521,676,361,529,790,530,861,128,707,660,897,
196,268,115,169,542,429,359,097,694,342,150,470,239,786,253,445,761,582,719,
668,338,953,295,261,752,062,465,412,655,622,809,889,427,891,280,491,479,721,
934,510,454,778,154,123,082,692,750,279,765,475,468,925,033,119,250,251,492,
089,470,433,775,080,825,048,216,913,656,943,492,822,018,609,400,881,595,165,
106,416,072,423,834,712,640,162,286,229,480,491,662,796,498,647,683,708,850,
102,541,022,267,593,259,324,191,075,450,004,795,880,989,524,948,524,569,513,
866,583,929,433,641,014,060,387,988,334,684,089,190,230,866,705,992,516,728,
523,316,010,892,165,328,126,666,663,179,634,901,534,311,077,833,074,461,351,
509,861,671,051,251,506,529,471,713,345,370,300,935,255,580,316,646,430,574,
292,791,238,053,306,297,003,539,240,169,758,018,552,887,883,800,850,308,522,
884,248,489,704,170,450,868,450,840,453,668,121,735,956,647,285,586,478,650,
636,346,847,766,563,995,920,383,903,937,414,492,393,251,441,261,369,719,061,
685,920,371,637,113,344,062,817,135,611,691,417,437,560,233,893,794,524,435,
034,104,921,716,457,628,370,738,640,197,227,616,266,612,520,759,769,609,677,
918,307,932,618,108,475,250,129,185,908,453,155,882,264,740,877,551,488,608,
375,928,095,891,304,639,060,307,845,661,377,752,347,677,224,476,253,419,556,
954,267,909,446,105,976,257,172,745,997,396,265,865,815,244,635,768,333,248,
674,495,047,748,252,420,938,703,691,744,613,191,598,668,484,359,119,370,138,
975,775,741,057,512,294,292,291,607,176,001,877,381,306,618,738,725,419,834,
639,732,791,419,693,169,901,629,207,472,475,277,465,286,756,937,775,399,587,
626,824,678,821,665,146,827,043,636,067,817,557,182,178,029,759,238,159,234,
797,378,862,161,955,248,208,518,423,476,556,769,685,594,027,045,324,524,447,
852,040,964,311,965,319,152,074,971,765,391,951,346,377,775,809,881,721,524,
686,799,139,469,360,824,365,918,044,190,833,797,797,054,900,443,135,917,729,
535,016,259,382,238,965,603,071,528,101,304,496,641,363,099,318,088,326,704,
577,029,406,852,225,135,747,349,919,501,605,779,835,396,940,063,069,865,539,
678,846,979,662,080,217,145,257,869,667,807,676,775,914,147,163,532,018,928,
201,454,885,946,876,163,820,720,631,057,703,758,747,289,000,519,323,457,696,
390,776,404,954,497,243,455,195,077,726,265,600,735,988,085,663,656,268,689,
243,635,156,193,738,064,814,808,625,017,801,396,254,380,863,114,473,773,914,
398,591,312,320,874,346,230,431,417,895,482,666,644,148,175,159,436,421,748,
873,066,938,985,221,154,008,689,451,452,485,140,354,361,410,644,173,619,441,
425,017,581,654,170,338,833,181,623,447,469,271,810,778,111,907,887,774,112,
975,693,285,177,757,728,730,167,107,858,532,082,883,070,383,320,850,436,181,
919,734,913,822,231,444,083,946,786,582,744,846,372,256,301,888,797,956,940,
704,495,377,603,284,922,427,907,001,861,245,854,479,265,817,625,765,181,589,
404,166,390,045,555,786,538,822,318,497,796,266,822,863,136,200,832,535,511,
541,270,220,361,341,748,953,734,138,997,926,902,124,344,192,978,415,407,850,
974,839,451,347,360,641,434,405,560,329,309,922,558,175,224,268,191,286,409,
876,042,125,866,006,621,177,277,329,929,792,960,537,433,440,796,002,252,770,
521,059,868,153,598,763,666,765,535,915,768,222,907,594,720,038,149,134,125,
891,969,419,596,019,184,639,042,908,440,153,600,728,149,717,722,680,386,685,
145,739,125,927,319,898,093,807,288,308,760,997,031,006,454,688,558,284,753,
637,782,505,188,042,301,043,204,254,458,654,581,629,196,896,102,277,231,808,
393,501,852,043,249,480,436,666,521,967,473,269,310,693,209,816,779,604,659,
161,563,033,267,672,501,544,229,808,517,399,598,064,248,929,392,521,290,063,
884,188,022,410,232,684,158,112,542,242,547,749,712,981,222,687,431,523,727,
366,673,456,763,662,590,470,147,696,344,045,794,957,749,249,323,926,398,864,
054,692,819,475,738,160,762,848,264,286,082,979,039,667,036,952,820,783,727,
986,720,904,892,958,214,677,358,488,934,085,694,224,608,841,891,872,921,728,
942,127,042,438,016,082,144,650,845,593,734,011,436,457,343,680,658,997,267,
981,607,980,548,767,403,883,179,957,663,159,617,767,407,552,974,242,815,679,
647,293,270,105,931,505,803,660,640,108,605,591,580,299,059,156,887,860,847,
555,092,729,157,668,163,326,907,213,011,345,578,598,101,163,562,390,593,487,
519,597,009,124,079,060,839,410,655,108,533,412,094,982,167,838,017,511,540,
209,095,848,096,257,827,996,832,521,175,589,963,332,316,576,571,126,018,441,
547,981,768,914,036,763,861,975,162,708,178,850,167,860,233,729,954,882,698,
843,834,238,046,935,636,160,178,827,958,363,858,433,258,654,857,144,439,613,
621,501,875,445,673,393,878,275,767,504,866,797,098,640,747,067,634,173,381,
129,773,603,449,951,193,610,779,060,431,871,976,869,158,718,144,027,366,388,
612,052,380,837,829,891,297,766,805,289,783,083,230,276,905,362,950,746,245,
966,973,661,384,618,453,035,696,671,043,455,791,431,207,655,998,390,549,059,
005,534,909,730,029,435,858,230,111,223,989,725,119,171,707,791,434,712,533,
845,379,393,656,519,557,525,046,570,259,569,721,440,375,778,927,006,068,077,
917,694,923,414,442,707,578,020,588,995,230,647,242,043,116,714,214,327,979,
069,976,712,582,769,287,645,366,129,139,690,881,915,415,870,694,811,135,936,
034,585,641,957,068,246,346,227,738,232,721,458,745,318,880,757,225,208,498,
550,543,812,417,049,980,950,448,456,732,228,371,649,575,801,165,663,618,212,
842,486,493,681,084,059,590,599,725,597,416,241,758,755,983,706,406,489,751,
827,969,259,043,144,410,532,327,695,988,496,849,178,399,800,279,211,455,620,
836,610,413,156,451,677,286,479,031,577,537,690,713,473,660,010,547,748,182,
398,677,937,327,108,941,287,010,465,694,233,424,932,929,938,197,440,773,246,
924,182,425,122,430,160,998,496,292,588,805,191,296,700,606,017,166,636,026,
380,398,807,133,896,832,782,525,794,952,294,648,224,952,453,850,140,096,788,
159,488,559,943,104,710,954,809,727,081,709,956,243,137,525,054,484,383,648,
407,805,594,957,651,627,596,189,733,209,915,938,768,927,918,730,005,373,754,
252,661,451,897,592,450,180,772,939,078,603,399,072,181,940,360,096,206,083,
737,218,008,163,060,014,171,966,288,550,433,371,785,647,940,649,654,279,410,
705,934,078,598,381,103,539,999,002,217,591,803,851,995,907,386,479,278,528,
430,568,541,082,601,235,780,985,370,981,980,457,711,002,114,460,473,535,251,
602,111,172,672,479,186,748,825,822,640,783,670,462,590,706,034,494,650,366,
215,686,330,942,621,043,742,725,059,992,673,849,696,531,691,424,613,992,452,
742,510,979,272,714,121,813,456,310,722,536,416,773,619,005,648,149,110,398,
767,004,454,675,138,892,024,904,577,654,680,638,326,093,849,191,850,778,410,
714,684,667,716,620,822,609,271,570,516,973,955,063,693,082,241,492,631,727,
019,114,814,143,756,850,618,742,760,337,036,428,153,236,719,753,818,812,676,
246,034,751,667,404,996,683,248,239,618,511,247,960,180,701,805,324,899,242,
372,207,361,818,035,752,157,835,446,906,090,420,091,066,444,886,024,006,761,
383,980,291,804,455,204,301,885,503,314,387,974,026,651,505,686,431,258,597,
976,338,887,830,355,887,936,884,793,651,016,053,933,595,643,745,436,907,543,
260,696,823,629,848,562,179,633,116,043,492,149,614,846,163,052,358,046,943,
087,416,744,336,142,782,576,303,873,551,301,114,898,937,434,920,775,582,593,
657,498,628,713,512,499,006,525,025,770,499,827,277,811,050,885,058,627,411,
889,915,963,169,827,853,679,894,150,143,137,842,906,336,106,709,005,685,269,
221,182,926,826,230,123,092,731,588,178,449,341,564,661,264,043,820,342,715,
782,070,324,123,884,649,303,638,865,634,367,972,357,250,234,520,930,880,260,
664,904,452,633,545,072,866,582,944,470,421,140,640,719,991,855,319,740,108,
436,723,221,759,572,230,730,262,232,525,425,583,321,582,106,058,349,767,720,
614,698,683,539,270,056,896,803,580,677,595,885,184,897,033,255,960,222,862,
655,958,470,623,979,930,684,305,089,155,300,875,008,812,739,990,429,205,786,
718,531,809,705,968,425,602,039,841,532,016,622,798,820,247,718,923,131,049,
121,337,806,068,598,641,232,186,690,332,477,062,872,788,653,895,796,850,366,
212,775,896,824,720,435,177,712,347,250,367,463,118,450,394,305,667,045,533,
638,576,066,793,195,258,498,872,334,765,335,727,429,397,672,253,173,453,295,
626,893,335,347,759,770,556,871,928,561,628,934,891,724,519,464,620,360,550,
069,051,663,383,654,300,374,599,100,052,336,885,542,124,185,891,477,571,647,
428,275,081,242,056,571,148,405,106,751,959,217,067,733,964,606,253,811,739,
670,437,715,367,762,675,564,308,621,149,612,554,477,470,364,186,990,376,899,
219,674,067,074,829,360,024,565,469,218,324,975,029,489,303,424,795,503,170,
462,055,871,616,280,993,795,653,407,750,728,563,976,397,352,870,636,196,023,
286,001,678,140,857,106,228,549,181,602,630,993,021,125,926,904,492,538,290,
750,691,430,693,625,386,161,955,082,591,454,753,973,207,752,361,368,746,503,
981,259,249,825,878,521,816,295,123,162,545,040,595,100,976,878,502,024,449,
066,378,691,722,196,154,722,042,841,287,797,376,973,695,480,066,435,415,553,
150,466,687,535,970,121,461,466,995,094,749,018,513,439,277,283,381,233,107,
427,869,063,219,531,906,466,801,824,257,716,103,772,906,592,856,079,048,408,
656,189,348,207,339,701,046,189,435,131,814,723,228,621,474,748,334,350,045,
164,762,217,876,150,916,998,471,322,966,435,057,806,081,104,352,458,090,649,
674,821,787,492,299,712,505,473,433,177,317,793,108,661,136,984,660,045,385,
610,664,806,706,217,277,973,761,868,181,745,792,725,609,687,370,124,155,882,
806,470,358,419,751,106,469,887,048,628,112,385,108,685,653,476,229,188,608,
587,583,200,701,102,922,621,362,556,207,119,237,502,523,959,622,277,592,830,
952,223,334,616,628,330,490,697,434,573,950,175,536,170,042,381,593,394,627,
693,198,604,687,067,468,455,801,662,583,337,126,659,451,583,707,339,434,484,
964,149,675,547,670,198,423,325,612,862,008,031,761,639,844,205,103,691,214,
437,012,849,837,996,859,539,456,693,591,187,951,855,585,663,118,461,879,935,
849,044,753,285,688,810,195,433,026,566,888,419,567,922,448,471,503,418,540,
472,614,412,477,729,433,889,765,505,103,288,721,933,929,483,373,533,113,558,
365,599,265,772,629,035,648,490,680,280,907,692,635,890,394,343,167,362,790,
280,068,174,151,754,753,679,642,612,254,444,952,744,325,449,873,832,211,296,
390,057,058,396,045,071,015,432,396,673,802,422,948,156,052,934,008,338,714,
249,401,169,386,849,443,366,920,851,538,138,538,890,467,793,598,178,645,605,
722,077,649,889,258,668,109,258,669,571,130,961,719,147,930,784,032,400,930,
613,224,919,313,544,660,676,816,802,335,361,378,267,643,344,664,297,728,521,
364,613,952,411,046,951,137,530,708,043,815,445,652,338,402,077,994,871,436,
983,139,843,189,095,711,706,046,013,374,935,416,792,575,512,573,169,633,847,
561,894,899,632,469,687,813,587,775,679,613,508,983,044,980,143,613,642,452,
767,352,718,896,666,002,256,185,519,608,232,761,651,376,537,970,015,971,195,
179,011,604,379,559,207,327,724,207,982,332,955,980,322,640,911,676,922,753,
633,741,865,725,666,413,035,406,465,058,606,393,823,850,192,463,896,759,361,
642,387,258,038,090,336,799,882,305,108,522,182,718,836,539,502,563,302,701,
032,257,427,502,663,014,348,370,497,700,781,042,583,107,394,167,202,282,594,
455,884,981,303,858,829,184,545,418,315,052,709,943,164,063,678,726,699,221,
455,847,261,087,678,015,467,683,291,295,681,682,638,108,275,187,346,898,867,
421,201,248,256,240,737,313,622,447,543,744,799,171,091,252,855,918,498,039,
424,529,747,883,867,681,465,372,407,248,918,439,432,757,551,690,800,722,479,
625,910,995,691,948,012,869,713,002,260,806,815,090,323,165,703,051,930,709,
416,982,702,807,828,221,984,772,901,174,422,402,840,348,879,100,729,636,149,
536,481,914,125,047,794,661,047,788,909,446,306,637,004,344,196,252,389,375,
737,387,565,430,599,214,864,080,638,626,035,078,512,548,768,249,082,796,009,
852,109,633,003,810,907,697,913,639,089,761,234,006,575,313,354,853,188,600,
280,557,815,740,382,538,588,096,852,888,518,123,752,417,573,475,376,614,650,
337,378,506,833,273,159,499,686,877,565,823,535,853,952,023,471,218,592,123,
350,195,559,177,313,091,799,598,503,111,994,815,126,823,658,456,817,881,136,
117,366,092,617,591,330,166,689,937,240,808,621,747,001,362,398,567,284,174,
326,259,801,358,448,308,566,385,225,242,119,400,895,996,334,410,017,643,689,
962,142,878,304,741,993,468,540,093,042,986,990,831,272,277,588,391,956,839,
815,347,057,831,197,834,666,495,391,023,613,018,743,957,299,525,174,760,406,
704,246,263,682,815,128,231,215,523,317,086,874,345,671,551,112,906,832,608,
503,728,521,941,177,730,025,067,954,479,209,127,781,353,638,065,596,091,576,
607,900,143,927,935,084,634,366,346,431,875,370,183,713,174,640,147,858,575,
706,880,904,033,316,461,119,167,788,534,715,310,309,168,513,255,908,818,154,
196,975,405,762,835,348,136,124,397,140,737,577,404,284,355,551,959,301,106,
613,302,264,136,689,413,139,192,997,490,033,617,444,973,295,729,880,706,807,
588,577,504,508,878,782,316,796,707,405,052,768,885,319,573,877,950,396,242,
469,453,910,107,525,769,964,001,031,569,804,368,887,849,639,633,200,714,243,
674,518,162,027,768,093,158,061,556,828,109,183,832,763,211,455,070,192,519,
243,863,258,036,689,580,219,000,127,020,075,995,751,371,673,103,657,258,359,
845,281,314,429,398,354,386,456,223,224,046,621,568,785,859,474,083,055,091,
107,196,509,392,079,252,265,957,011,384,050,623,474,361,980,503,446,419,836,
963,340,211,555,305,445,593,121,715,608,309,140,275,873,136,547,567,958,530,
695,572,178,269,633,866,301,862,203,647,245,934,112,632,625,220,328,124,424,
763,918,884,829,832,107,113,783,508,172,905,751,097,800,329,344,139,475,631,
762,035,998,338,348,599,682,432,084,688,965,035,664,533,829,652,626,826,068,
431,581,548,880,262,237,804,621,795,618,247,719,343,925,111,740,722,621,022,
896,194,376,008,689,320,591,811,935,383,408,604,209,279,608,896,745,420,889,
475,313,314,658,395,834,547,482,984,034,322,247,856,837,524,100,002,217,991,
177,627,159,192,788,762,190,162,573,027,425,807,275,948,389,109,050,869,487,
387,628,925,519,140,659,480,524,356,736,648,813,573,063,235,498,170,559,143,
668,913,152,809,148,733,366,895,057,166,643,083,436,567,923,818,587,930,754,
627,432,689,919,817,517,423,324,549,022,569,784,360,773,880,357,887,623,202,
665,265,099,922,223,744,460,979,224,496,713,355,820,551,745,441,839,024,997,
812,800,105,462,282,480,799,661,191,620,168,689,653,298,026,095,970,062,102,
367,732,080,129,641,316,233,415,461,365,211,461,597,858,896,865,222,098,093,
843,031,856,076,604,229,589,428,614,467,620,930,482,570,388,550,257,432,962,
989,961,065,101,409,812,069,114,836,722,792,610,563,631,740,837,288,602,016,
038,748,207,488,304,693,745,195,550,756,100,317,202,409,379,350,488,977,864,
233,306,320,696,975,595,161,494,750,970,532,054,219,703,958,582,314,812,372,
939,894,575,970,564,303,051,487,831,429,837,457,487,785,950,212,379,170,198,
095,276,943,985,337,145,807,473,333,795,143,126,573,152,384,225,236,609,618,
183,805,062,285,940,549,942,371,653,310,313,509,392,810,525,916,189,833,543,
232,135,954,897,706,000,045,651,607,265,115,936,946,712,032,204,952,369,634,
112,385,861,811,818,265,043,385,041,545,757,701,395,582,535,420,527,494,467,
913,210,165,903,413,551,502,752,495,476,494,322,603,589,032,827,078,221,466,
946,403,582,061,497,063,557,868,427,094,038,273,849,807,511,253,978,835,099,
609,817,657,266,292,767,285,188,819,495,017,519,724,820,109,583,495,301,395,
393,609,633,837,972,748,134,954,609,428,531,316,178,490,583,877,261,939,452,
041,878,820,016,202,855,009,670,115,903,497,662,916,055,914,932,929,559,699,
422,952,235,700,699,100,344,614,185,738,450,797,329,003,625,411,314,490,924,
587,351,091,303,067,594,073,369,545,596,115,703,300,715,781,419,314,340,401,
627,649,620,161,861,566,530,942,768,885,101,598,812,216,423,930,241,032,476,
776,078,931,244,318,491,980,186,754,206,076,123,300,801,069,029,512,855,720,
437,867,088,059,947,945,114,099,073,477,706,983,106,679,077,157,659,392,455,
576,598,218,636,003,014,937,118,234,707,044,205,371,525,356,794,290,656,505,
198,714,782,869,980,270,819,501,942,776,692,044,222,173,574,979,779,463,264,
639,211,331,470,720,720,332,747,357,804,106,414,968,621,474,827,162,785,314,
449,561,322,870,155,654,954,249,635,600,434,401,941,038,104,823,720,990,363,
085,853,357,954,523,524,878,377,478,570,568,713,629,776,236,196,399,702,062,
596,639,217,046,591,534,446,988,811,177,435,333,469,868,489,675,966,176,591,
169,942,916,019,745,959,590,091,005,914,487,664,826,235,036,791,596,829,176,
079,812,927,508,408,079,260,552,642,792,859,813,788,157,942,061,624,552,797,
569,144,625,915,168,977,315,509,111,194,945,764,666,982,052,040,756,026,629,
276,882,241,724,712,888,001,593,071,791,348,055,189,512,239,726,868,711,939,
979,448,047,072,473,275,801,606,027,572,568,229,002,892,582,597,754,476,826,
548,708,831,925,371,506,815,590,026,842,731,658,880,918,445,408,283,174,738,
310,732,899,448,353,377,345,320,984,504,855,508,807,503,495,318,597,623,023,
483,193,384,018,795,894,654,761,216,323,430,129,743,897,771,867,089,043,264,
706,933,238,580,584,511,001,478,626,982,781,471,398,840,275,723,611,111,774,
398,961,056,246,089,953,080,278,088,012,376,563,430,472,469,049,659,986,497,
491,247,760,288,631,030,417,107,529,546,287,677,948,366,552,685,280,888,614,
461,217,843,265,115,871,693,564,532,383,806,413,436,833,662,066,872,247,772,
769,084,101,888,443,949,472,125,228,316,535,801,058,793,146,431,064,594,582,
470,859,402,821,216,433,690,768,145,407,220,921,680,953,078,863,003,997,722,
719,756,534,588,407,379,135,296,711,823,643,042,275,962,650,074,841,534,468,
770,843,117,277,910,824,959,176,435,225,102,017,878,022,859,974,974,210,774,
306,499,234,909,095,832,522,823,741,424,663,429,374,874,797,995,775,196,548,
125,286,743,655,858,277,994,182,405,916,913,151,945,060,909,120,311,156,477,
256,122,700,866,894,409,611,178,614,030,716,692,671,058,103,726,733,789,010,
097,875,423,681,067,324,468,879,436,807,055,731,594,570,657,981,234,165,252,
971,606,411,159,504,168,331,701,566,317,882,840,597,642,406,034,469,769,116,
396,016,844,243,507,257,517,787,745,283,032,965,544,655,303,550,965,623,184,
719,314,932,145,005,877,925,149,058,055,861,196,449,755,570,910,570,942,873,
742,646,214,101,897,033,817,652,910,687,825,679,232,212,719,416,455,761,549,
386,175,591,462,669,547,889,235,232,736,795,056,943,013,230,665,121,327,578,
574,629,237,400,844,854,349,763,888,888,119,971,454,101,888,266,620,100,761,
849,424,357,839,087,039,303,333,471,698,759,395,110,613,847,029,594,627,829,
225,572,516,966,886,856,626,310,030,888,269,170,374,888,923,753,332,900,921,
941,858,414,088,465,044,601,736,331,137,198,050,231,226,057,681,798,069,451,
340,354,403,424,372,105,270,313,770,008,376,801,841,882,330,587,070,960,034,
164,086,709,355,369,994,617,831,588,310,409,269,571,027,584,620,764,325,372,
040,589,437,827,575,865,215,460,699,212,022,673,555,330,501,509,020,534,565,
542,935,860,575,804,480,277,838,799,484,802,482,047,064,384,185,696,497,339,
624,754,615,488,252,708,168,502,765,908,427,841,408,200,378,184,557,409,939,
501,995,804,044,150,753,601,176,455,945,496,472,764,947,855,839,173,013,279,
761,238,909,408,523,069,605,451,365,648,889,865,359,597,471,145,597,458,103,
932,704,696,049,992,453,965,015,806,236,189,025,883,452,477,098,259,561,648,
921,249,736,798,078,125,927,467,731,079,299,025,561,419,348,004,223,019,057,
473,094,062,127,538,907,435,620,057,204,739,130,863,342,217,521,508,097,144,
276,710,515,837,560,971,356,226,010,096,007,461,877,832,369,616,117,462,181,
561,331,433,067,368,274,078,219,589,676,803,513,134,677,676,106,207,630,857,
120,856,355,863,843,401,061,732,536,070,754,502,051,564,665,769,038,666,322,
533,483,423,555,981,850,048,445,553,909,912,429,558,490,466,378,593,151,954,
866,727,303,710,442,900,794,184,433,141,801,442,687,967,804,726,260,231,165,
886,730,467,336,545,202,893,247,691,545,897,515,890,695,001,552,233,822,197,
380,561,882,595,629,372,667,850,851,216,389,952,330,445,712,998,003,241,711,
015,494,101,629,852,622,057,982,229,562,456,328,455,702,283,706,176,857,415,
665,435,770,010,768,151,544,008,124,779,461,121,903,822,244,115,928,101,523,
157,503,264,679,562,139,848,407,796,480,335,928,486,931,789,763,914,144,051,
538,146,742,198,263,777,690,511,510,464,739,815,758,353,673,634,384,981,081,
447,246,470,637,909,192,518,344,675,041,041,189,682,489,561,183,263,170,125,
631,845,019,713,956,732,863,223,522,303,308,671,828,872,029,326,897,979,760,
674,474,906,164,181,264,045,743,211,913,046,316,456,971,733,468,091,573,894,
805,214,582,990,912,428,963,127,100,756,062,110,408,758,147,890,930,153,846,
356,956,779,504,742,584,717,121,937,507,111,385,202,164,139,966,649,370,239,
493,520,469,374,882,710,843,069,089,726,455,921,506,914,768,235,497,113,950,
329,108,009,269,720,523,582,551,993,353,992,169,443,439,071,556,143,745,409,
101,634,705,102,055,011,139,440,382,312,695,109,380,455,329,290,122,381,296,
931,549,596,052,345,630,229,445,715,455,559,447,917,842,179,657,751,712,915,
344,277,750,230,203,032,333,150,629,546,598,806,042,824,026,555,627,312,779,
695,965,607,710,540,239,825,679,670,156,491,149,874,774,929,624,901,673,334,
165,485,979,082,207,802,845,055,722,324,512,286,248,698,287,128,425,375,606,
720,681,500,996,804,098,831,686,408,278,804,600,036,918,850,636,369,266,964,
363,120,611,956,632,701,983,071,647,063,243,676,422,395,301,247,634,981,566,
053,708,834,929,581,044,686,860,081,946,162,946,608,002,249,463,060,533,117,
351,762,801,714,384,113,684,983,166,839,161,411,171,230,656,222,039,553,046,
842,226,781,617,724,838,453,117,297,875,565,834,454,988,932,335,660,614,390,
369,744,080,843,281,173,487,233,483,859,544,276,640,375,056,720,058,673,298,
760,255,205,036,460,542,157,774,139,026,067,512,082,889,851,673,220,101,130,
901,170,396,697,006,435,109,586,916,381,204,230,525,377,202,508,802,590,574,
131,176,529,250,904,253,058,394,672,079,512,022,216,558,787,384,241,350,226,
367,499,918,428,337,413,699,304,233,237,450,726,442,704,566,032,481,889,641,
112,126,780,511,420,975,090,752,330,466,423,398,722,828,405,418,579,475,153,
718,485,152,162,484,913,682,052,634,970,747,093,069,462,001,095,930,623,972,
369,496,833,518,686,713,451,165,893,708,593,538,942,413,792,723,493,893,674,
925,699,101,217,545,832,377,377,534,184,980,979,602,682,416,487,643,101,810,
219,323,619,631,188,296,609,964,378,779,057,197,081,171,649,070,147,296,757,
434,721,250,391,903,273,618,291,751,262,875,628,961,210,769,096,470,869,509,
029,666,832,816,571,160,716,218,973,323,125,768,440,838,312,531,861,206,858,
386,464,981,140,494,217,063,543,764,638,424,817,869,064,144,268,243,616,350,
394,254,561,395,557,592,111,164,228,435,874,422,871,008,122,803,582,355,396,
565,816,621,933,646,673,642,839,372,461,659,938,341,365,454,372,804,192,890,
747,716,507,773,779,917,928,980,581,833,077,221,707,858,558,198,124,095,492,
427,266,088,464,731,739,739,798,056,889,330,883,049,021,755,174,067,879,871,
222,494,552,087,651,521,899,446,455,486,797,230,763,755,538,202,369,141,402,
005,988,214,996,764,304,732,759,708,192,015,621,886,180,053,176,380,804,817,
754,628,277,815,964,248,367,210,164,367,174,677,198,587,278,294,152,939,206,
868,974,832,043,660,544,117,513,622,900,707,189,974,874,499,215,461,635,203,
003,905,397,839,163,867,328,407,700,672,878,785,480,426,356,367,596,806,672,
793,441,599,053,091,134,676,184,616,522,040,015,132,914,019,794,130,349,810,
675,857,901,514,510,932,674,708,072,008,088,655,968,007,214,075,718,958,376,
807,783,403,165,410,941,720,764,235,696,604,323,159,480,843,610,154,018,797,
146,494,104,360,759,264,634,771,096,282,877,527,494,463,452,357,678,282,199,
564,912,995,366,845,768,906,044,346,967,479,742,124,296,887,011,325,665,904,
233,220,439,341,875,131,461,352,966,450,201,456,287,382,316,527,581,364,740,
887,949,771,815,367,835,539,630,139,533,326,351,938,583,907,357,203,197,661,
003,725,288,332,527,484,611,243,386,341,152,046,720,478,820,387,771,599,915,
916,760,147,641,511,798,391,857,283,341,540,051,110,526,054,128,422,984,017,
391,406,019,345,351,263,959,587,307,946,746,879,013,875,782,794,576,411,552,
855,229,206,989,268,069,490,849,817,310,577,887,091,077,124,837,667,522,498,
942,201,900,809,985,294,782,240,106,372,747,058,947,351,510,102,717,228,540,
637,599,355,398,995,086,994,346,243,916,871,898,562,665,752,135,555,265,608,
253,825,766,497,726,228,055,317,245,321,700,966,785,453,322,456,274,017,665,
925,460,120,222,962,841,628,682,889,818,771,375,022,577,628,724,617,843,271,
085,105,601,014,846,297,291,734,401,335,651,658,815,720,182,504,017,840,577,
343,644,497,501,685,433,466,716,383,404,965,284,019,616,869,849,098,493,960,
454,276,206,550,296,781,904,161,475,450,671,890,012,629,022,812,153,759,102,
337,058,623,055,450,879,182,479,995,990,124,114,345,544,834,014,850,110,396,
005,303,677,779,558,415,138,620,851,345,090,368,305,472,622,026,653,736,690,
339,482,342,386,114,869,281,282,348,505,358,980,602,192,653,538,458,973,573,
643,319,675,867,177,076,237,359,763,102,921,763,964,508,998,975,986,036,403,
234,050,122,549,275,597,612,763,925,391,861,789,396,925,541,328,556,677,955,
836,783,454,144,120,584,683,964,157,090,180,716,826,767,927,413,659,788,458,
374,057,908,810,901,375,747,344,959,414,513,786,202,831,177,652,579,982,723,
146,752,274,557,147,851,121,306,540,094,801,256,144,096,470,516,626,391,424,
857,887,737,883,387,455,475,574,001,861,511,575,326,424,860,434,708,410,907,
825,504,668,115,409,724,724,866,559,607,205,367,701,018,889,494,294,075,827,
065,473,768,592,790,050,317,733,871,670,406,617,967,570,601,900,852,405,544,
715,939,512,500,102,716,374,252,673,725,685,336,603,532,294,442,555,411,816,
413,975,639,830,004,906,462,833,493,194,681,542,965,481,620,484,217,338,252,
048,735,210,691,568,903,257,458,615,672,960,991,948,678,586,700,980,949,020,
868,561,432,868,266,462,009,947,798,249,534,055,147,658,091,839,682,924,603,
412,990,564,142,880,917,036,511,218,497,075,770,239,969,088,274,283,024,633,
312,159,307,803,618,146,243,646,234,286,361,853,539,446,384,722,177,403,298,
011,060,964,886,049,289,713,898,658,791,102,374,963,657,489,301,079,392,175,
456,434,158,503,017,761,131,705,619,972,087,771,921,478,868,586,192,239,679,
111,417,256,707,483,785,173,950,584,034,327,162,945,825,096,917,128,671,170,
042,461,804,610,461,685,386,376,015,936,536,754,169,116,506,370,894,834,690,
774,577,770,347,594,494,438,205,799,295,620,968,513,085,141,036,294,349,179,
028,309,151,057,128,456,252,545,937,507,110,736,529,874,635,709,706,841,112,
530,141,815,913,867,384,327,620,454,582,693,269,754,000,054,846,393,632,186,
395,423,832,936,602,022,906,198,257,173,891,129,092,507,856,169,783,736,634,
845,266,451,573,933,042,384,947,606,931,054,442,540,644,179,813,858,275,880,
458,134,157,622,591,369,061,079,533,722,174,037,627,487,955,473,836,091,535,
076,521,634,232,332,648,257,600,767,250,453,129,429,814,388,389,409,966,270,
276,519,585,782,774,811,756,335,717,807,640,923,205,396,905,843,105,553,753,
299,428,147,844,930,668,594,775,073,054,183,369,642,382,040,108,942,679,416,
025,835,379,332,709,607,750,853,194,660,775,866,005,639,559,942,102,054,904,
230,399,903,929,358,935,901,224,313,707,021,930,785,054,840,072,363,168,562,
764,836,287,525,382,695,183,954,977,998,406,166,854,490,129,709,522,765,073,
397,321,172,232,395,761,445,778,777,196,710,934,010,082,769,316,463,525,136,
846,195,298,095,051,072,449,513,918,198,576,284,637,882,098,808,753,582,370,
083,864,136,908,952,827,057,960,030,780,212,134,020,869,459,169,947,467,800,
752,998,531,977,981,108,645,921,005,797,387,945,811,664,922,392,053,126,925,
585,542,978,283,630,561,252,345,027,340,597,063,784,243,079,618,851,002,684,
531,531,662,848,110,466,037,407,560,874,722,993,123,639,990,004,090,172,572,
047,634,414,129,073,641,683,411,080,550,732,731,824,997,046,217,382,675,566,
759,043,355,052,073,276,789,775,523,737,642,135,233,409,996,064,643,564,379,
715,766,239,726,299,423,098,663,406,648,101,052,654,342,613,578,995,602,668,
766,135,364,900,293,209,339,438,227,897,329,667,886,823,605,412,999,772,609,
542,711,305,410,010,108,743,344,702,267,176,251,469,799,723,161,468,777,930,
653,006,700,211,191,735,182,756,617,468,887,159,874,987,272,214,718,614,107,
968,861,146,465,942,923,716,704,240,475,203,821,258,722,633,505,955,448,509,
498,500,930,746,791,948,474,221,364,061,804,411,791,901,146,925,007,464,102,
696,636,794,384,156,427,759,748,488,167,732,677,643,140,230,444,010,140,460,
181,062,848,902,328,769,868,206,217,047,542,980,289,402,700,427,434,897,558,
413,170,815,921,569,619,886,340,488,688,117,356,820,272,429,185,896,169,353,
903,286,854,420,795,058,196,237,875,346,388,701,420,121,617,926,662,272,945,
383,139,727,903,795,887,332,502,698,799,422,288,306,417,136,864,079,333,059,
271,994,802,878,739,741,413,291,290,073,217,252,877,801,500,253,731,485,985,
306,652,073,216,657,108,432,254,663,398,594,979,631,996,939,741,596,957,177,
798,251,660,050,645,989,123,952,974,243,889,362,453,668,161,997,296,410,185,
410,298,565,403,002,494,916,392,100,787,407,481,994,883,955,442,282,583,385,
312,204,884,643,551,421,292,732,580,289,648,896,489,432,874,902,474,369,695,
232,669,531,726,395,842,209,883,967,374,872,752,611,353,986,117,123,039,819,
726,059,530,566,567,625,561,618,862,378,026,870,664,697,378,167,417,320,118,
624,027,288,289,449,035,008,074,465,611,613,044,419,939,916,870,924,702,735,
155,183,727,999,762,183,370,328,832,916,498,061,944,082,911,647,430,906,038,
632,977,439,090,572,700,399,782,126,255,787,042,118,460,578,564,235,263,141,
138,019,163,403,979,903,172,985,008,182,597,395,881,709,056,444,876,196,078,
997,765,089,248,236,030,599,010,312,917,471,744,582,666,227,498,800,976,760,
693,179,166,808,008,774,858,190,400,862,481,867,871,402,133,582,681,294,876,
055,688,375,607,575,780,920,723,627,582,163,931,808,437,646,557,605,496,368,
003,488,409,793,401,672,723,368,863,654,085,609,961,345,271,575,005,275,857,
332,362,261,766,215,846,623,214,421,753,039,239,411,394,692,983,146,965,836,
910,397,760,516,681,140,710,687,891,241,898,745,596,239,966,856,576,491,013,
660,867,556,946,743,074,889,371,751,077,449,519,124,276,373,505,322,422,524,
669,458,565,392,874,472,248,992,910,724,003,574,224,739,463,612,951,008,344,
073,555,957,601,190,999,809,826,002,510,484,279,385,992,443,964,512,532,715,
505,376,183,273,586,700,558,406,983,380,872,777,193,456,134,135,407,983,601,
088,891,394,772,687,566,630,207,796,355,516,246,439,253,988,213,015,489,019,
765,638,139,389,617,523,629,611,617,741,259,311,413,882,867,873,094,436,781,
076,644,859,107,081,005,182,254,349,821,226,674,651,247,155,648,692,646,730,
767,221,504,375,018,769,401,892,412,758,128,141,651,594,100,295,054,321,256,
826,098,456,320,241,875,622,564,397,062,983,226,653,454,914,567,143,775,135,
707,631,041,634,103,221,146,600,452,080,929,977,858,331,750,270,484,855,152,
804,502,117,756,834,829,627,476,979,518,224,507,942,979,720,417,049,502,660,
719,112,759,337,442,921,510,403,901,646,139,319,831,551,241,777,418,086,409,
321,772,508,501,491,588,633,316,793,492,608,547,707,056,268,670,490,303,604,
556,285,791,334,298,756,523,536,863,217,962,882,744,572,725,126,766,581,115,
624,642,703,289,765,285,616,771,028,528,829,863,685,301,806,661,745,186,894,
131,590,854,282,579,924,776,632,915,872,132,707,330,517,250,297,756,859,619,
181,937,957,810,917,631,031,788,335,467,679,571,527,298,332,683,610,958,212,
194,845,947,656,249,469,704,694,451,313,978,681,103,216,105,939,233,132,711,
206,472,318,519,682,102,327,146,905,705,930,002,053,426,578,884,371,285,157,
791,851,442,812,888,505,735,416,224,067,178,758,125,100,020,030,297,703,574,
780,341,671,175,944,740,072,915,068,014,176,267,622,982,380,816,324,907,785,
074,097,476,678,736,846,153,683,992,281,732,609,302,818,570,366,499,798,244,
345,008,456,017,161,215,949,972,007,093,907,565,885,862,969,170,592,708,995,
577,352,260,991,722,586,310,342,194,444,756,580,139,846,440,185,059,992,330,
100,817,755,508,702,670,754,894,560,275,218,316,254,435,789,634,696,649,555,
420,698,853,215,608,692,617,315,042,884,238,225,700,173,734,508,835,857,052,
718,563,701,212,945,258,943,380,990,889,012,021,471,005,672,416,918,047,097,
301,917,536,583,944,577,836,204,926,611,116,380,597,323,681,635,336,822,775,
216,207,138,738,731,233,763,042,541,019,901,440,925,507,815,519,454,579,141,
099,956,992,463,705,005,958,601,761,111,419,530,602,749,914,158,813,443,644,
843,209,755,893,611,819,041,375,869,590,836,037,638,648,980,470,396,551,897,
380,315,230,112,565,771,586,513,416,781,454,825,444,502,894,051,104,213,207,
261,177,083,089,548,817,580,481,878,812,194,702,923,735,540,898,059,953,819,
718,632,582,542,449,894,170,545,857,372,876,457,531,221,408,269,295,578,290,
796,151,744,450,743,666,709,319,928,426,364,964,853,395,855,757,478,560,952,
209,675,281,060,038,937,245,453,464,077,453,394,462,887,338,112,896,635,862,
084,165,956,900,590,656,896,780,615,520,835,509,197,727,534,661,523,052,735,
807,022,804,371,139,412,927,970,775,155,205,027,223,916,586,652,113,070,047,
533,612,116,687,941,935,391,054,479,104,065,590,927,745,815,246,386,310,259,
403,414,776,243,526,580,568,999,471,625,957,851,422,159,318,856,052,307,801,
956,083,021,678,700,717,763,471,290,129,147,217,612,973,856,156,398,662,284,
664,002,819,459,700,259,042,678,420,257,933,816,045,687,462,649,720,643,679,
554,948,133,917,102,154,347,390,302,180,203,808,085,538,416,926,453,008,736,
243,892,336,368,159,811,859,413,851,831,460,513,796,839,983,717,469,519,763,
917,234,809,541,662,448,141,503,014,628,072,936,375,254,138,884,236,240,052,
121,315,372,077,203,789,155,433,058,312,551,848,793,565,851,504,435,309,298,
601,860,281,861,754,450,373,110,675,992,464,916,013,061,922,456,231,369,640,
397,380,273,271,325,223,799,890,712,013,494,719,201,931,764,118,191,613,084,
423,107,270,234,175,692,405,808,049,188,508,976,218,023,973,354,134,186,006,
526,830,919,910,476,016,023,178,554,497,490,543,883,325,270,605,142,266,954,
513,112,569,472,733,927,321,766,254,605,824,662,152,287,271,830,515,665,984,
743,014,144,741,495,788,258,090,342,379,883,523,780,835,538,693,234,037,279,
207,611,562,282,177,036,850,710,204,945,231,888,192,449,852,155,328,837,797,
913,181,184,411,056,727,649,349,394,386,642,484,341,586,110,445,327,711,836,
072,930,598,408,819,951,656,145,066,671,106,613,839,449,999,652,582,635,983,
002,903,911,598,094,522,875,421,652,529,990,525,421,090,852,306,102,511,476,
083,951,785,908,212,030,252,361,991,850,463,863,662,581,049,533,396,094,724,
949,898,777,223,040,004,627,343,929,269,693,937,180,064,694,411,611,078,517,
206,274,766,753,059,925,627,282,812,749,794,283,566,921,397,951,084,675,684,
857,662,907,077,590,618,876,291,429,322,395,861,112,530,361,380,502,675,867,
046,385,227,357,618,761,848,108,333,891,603,744,134,453,654,774,762,360,036,
976,480,597,232,307,435,740,716,875,709,173,524,213,879,441,255,787,407,942,
155,623,355,493,067,827,022,976,840,381,053,119,814,906,461,217,238,405,524,
664,261,707,489,739,384,286,142,682,905,064,729,155,677,136,945,976,233,410,
278,805,262,004,127,601,886,735,458,262,488,032,454,765,008,055,772,936,882,
976,358,742,901,215,046,919,619,171,223,397,266,940,467,793,742,791,340,045,
806,709,413,508,553,915,505,693,646,355,238,856,735,761,808,341,837,164,480,
614,836,624,443,488,835,856,609,936,747,091,455,186,892,649,715,571,247,001,
503,888,377,167,452,276,474,111,879,549,743,393,974,094,343,606,743,592,379,
590,601,053,189,000,812,859,378,078,373,103,064,079,762,465,524,092,396,981,
060,407,359,801,130,025,362,609,640,552,081,384,164,244,462,139,631,668,534,
500,536,405,714,280,363,162,651,894,149,206,042,679,785,122,964,183,223,266,
322,095,505,019,015,035,440,668,199,063,850,807,446,578,449,405,508,139,719,
882,353,556,653,106,115,147,903,961,473,139,198,234,459,397,614,843,836,358,
632,259,055,995,870,616,340,368,247,504,800,133,248,986,250,980,967,568,306,
938,342,950,253,021,056,067,323,575,469,786,127,377,257,326,148,810,721,981,
281,100,067,297,508,519,279,870,605,379,557,697,328,540,568,792,045,231,294,
346,153,967,463,934,209,625,595,002,706,832,614,292,985,342,401,630,832,957,
559,541,372,354,905,272,444,121,000,458,413,853,316,040,435,804,741,820,372,
875,822,075,567,505,370,834,518,326,054,153,262,669,130,351,580,796,166,069,
719,708,187,471,553,022,080,605,114,401,934,348,179,635,511,150,893,670,393,
182,017,286,231,250,205,546,439,892,674,461,176,466,776,617,619,235,448,613,
019,820,679,498,298,009,441,908,312,656,810,753,775,434,230,469,409,163,293,
244,451,212,915,939,010,264,880,026,806,416,112,855,556,353,324,522,194,129,
682,712,547,953,826,975,635,731,934,915,883,030,645,745,965,392,794,686,932,
499,498,435,419,894,127,896,564,815,872,902,920,150,630,527,383,481,967,250,
483,772,422,731,838,871,304,263,034,559,254,730,431,920,926,602,455,827,762,
140,503,857,969,684,632,920,394,272,504,542,544,333,514,767,997,073,895,302,
363,692,295,103,946,701,079,477,185,158,231,017,366,027,437,713,377,351,472,
670,365,659,643,456,198,762,097,362,419,574,221,102,671,110,042,747,439,638,
049,694,768,223,874,351,946,732,626,582,926,821,114,046,014,171,094,253,065,
124,915,202,996,436,405,905,440,302,366,826,662,209,417,448,761,919,301,973,
661,710,422,587,323,389,056,272,308,332,052,189,905,752,158,456,879,561,929,
193,410,899,358,612,011,309,857,757,351,596,210,166,031,542,873,875,684,439,
208,383,004,702,135,804,327,191,872,603,099,564,453,829,910,842,043,624,998,
421,175,884,791,851,711,299,205,685,603,666,674,173,336,463,254,453,786,816,
617,586,890,758,418,141,947,489,074,826,058,910,347,408,783,110,058,250,969,
379,916,182,064,908,915,600,440,167,820,720,449,052,580,661,521,104,355,463,
789,637,080,225,145,511,666,159,576,981,025,302,336,564,017,885,736,855,162,
368,592,838,558,028,498,269,371,928,812,566,867,180,529,077,615,374,166,977,
594,870,935,303,335,784,400,543,469,539,943,113,840,660,933,359,613,988,280,
201,678,508,408,088,895,236,164,425,461,126,099,274,692,398,952,721,441,875,
779,160,702,502,898,510,097,333,200,223,425,101,180,428,421,409,596,356,588,
552,503,745,388,811,298,644,654,714,208,925,283,707,948,656,109,950,259,845,
215,895,513,464,291,486,499,394,358,913,471,869,904,754,040,143,137,669,360,
415,770,283,143,540,141,884,910,859,717,460,391,284,669,939,407,370,525,384,
570,834,347,384,961,546,183,865,896,209,224,260,822,782,517,333,753,829,848,
208,372,825,594,852,250,814,512,224,217,851,586,538,345,960,123,927,887,556,
514,034,845,172,379,957,556,369,059,055,187,270,573,534,996,935,994,133,335,
993,977,665,012,838,326,407,644,407,729,239,741,214,737,665,228,230,714,675,
731,396,022,274,122,294,770,251,993,620,307,599,966,876,405,773,476,523,423,
892,839,887,984,491,093,053,021,058,298,638,455,166,510,731,668,473,416,697,
610,420,721,375,606,263,165,941,026,487,881,347,963,798,171,445,264,665,888,
482,697,491,480,061,457,589,594,421,201,148,663,549,710,816,077,547,716,125,
833,859,351,995,052,126,906,890,347,366,988,343,078,117,817,705,083,143,058,
381,464,399,378,471,947,321,239,804,940,987,580,059,297,431,174,535,911,783,
434,296,418,927,024,164,350,771,457,039,902,401,254,558,879,128,572,342,742,
765,008,128,076,769,221,898,335,803,124,142,148,787,832,201,146,871,407,653,
941,299,332,331,068,158,150,233,750,105,187,923,712,237,411,693,091,052,257,
643,809,283,834,103,278,197,763,331,360,507,302,296,173,339,943,168,686,270,
394,876,476,958,537,508,645,008,357,942,865,569,319,809,609,268,171,764,572,
604,943,559,164,160,899,309,113,554,208,726,258,214,524,651,447,272,436,207,
708,417,589,934,290,702,743,180,608,616,661,998,019,288,569,937,829,173,150,
381,051,409,442,867,618,144,900,336,351,011,105,140,728,522,210,167,146,188,
515,833,352,698,508,586,682,606,028,680,121,010,411,211,648,745,244,769,708,
213,574,160,680,322,489,947,756,711,839,278,215,803,310,463,477,076,345,666,
912,432,252,239,736,359,544,178,205,758,002,328,376,047,728,162,308,809,258,
950,687,344,552,979,727,694,030,214,260,772,526,547,280,356,405,802,553,912,
024,378,109,854,334,385,703,159,977,302,660,220,502,189,022,944,871,601,009,
070,800,948,552,935,423,710,586,304,417,582,834,159,646,406,397,235,584,296,
932,635,494,454,258,153,960,895,752,009,607,218,384,528,702,987,525,156,841,
655,490,085,746,283,644,165,378,877,278,579,829,684,273,167,495,806,200,653,
450,908,465,487,758,232,326,518,753,618,398,752,385,849,162,955,250,803,499,
183,210,373,218,791,638,600,910,918,688,077,972,685,471,658,748,936,449,813,
384,368,612,364,596,111,119,061,338,553,344,349,106,346,139,282,622,234,676,
047,921,834,348,335,432,623,925,612,981,310,333,527,865,990,152,630,391,889,
828,096,630,214,774,554,476,804,341,836,859,646,584,946,938,787,519,480,795,
238,458,530,960,748,018,446,967,693,997,528,165,019,694,250,049,995,499,942,
607,937,095,960,891,028,639,776,612,731,708,393,018,684,457,428,866,682,912,
975,923,072,457,577,294,186,452,350,020,036,096,453,003,939,406,161,995,967,
181,644,942,797,420,540,887,581,279,729,520,437,511,462,709,247,674,815,399,
102,162,234,040,164,844,190,242,756,741,210,671,551,340,358,445,262,704,860,
815,425,432,846,174,398,629,334,286,275,369,458,547,124,285,438,375,769,040,
056,131,022,644,746,236,633,850,986,016,549,416,241,930,162,418,923,953,726,
596,906,278,661,097,693,119,288,827,421,936,955,691,734,962,494,033,914,302,
387,260,373,646,464,342,188,279,693,499,987,069,067,950,344,139,686,615,778,
429,127,113,290,038,174,930,789,521,182,445,344,022,945,139,869,061,099,515,
373,303,789,675,332,541,421,698,566,776,943,001,314,133,745,743,781,957,753,
012,670,658,552,187,560,664,846,397,328,036,033,780,737,170,965,912,149,316,
052,975,619,480,693,317,085,038,954,062,568,406,402,074,611,905,698,400,533,
895,081,807,328,703,327,520,531,418,746,088,351,121,659,215,750,088,079,496,
204,470,402,974,289,189,347,433,570,624,891,499,703,385,703,149,720,707,822,
574,220,003,010,908,039,208,656,136,216,487,270,023,188,875,790,267,480,584,
936,109,298,721,250,836,588,981,366,415,439,799,020,002,361,119,838,751,787,
929,324,733,524,451,963,071,265,856,843,120,286,180,284,819,476,474,192,339,
939,358,043,656,109,471,599,863,763,634,599,250,265,723,377,840,295,225,831,
599,619,188,294,776,623,045,253,777,030,037,427,423,514,576,133,220,963,482,
366,858,818,196,653,091,059,561,805,766,233,128,431,039,520,329,892,594,624,
552,526,442,366,076,484,411,911,569,106,226,681,360,458,899,917,246,291,341,
025,797,736,459,056,750,926,902,623,054,362,079,973,745,200,233,224,608,634,
416,054,864,195,824,516,904,330,521,690,634,940,690,443,078,379,277,907,920,
523,570,799,758,532,625,401,899,409,458,650,631,987,146,253,622,134,804,274,
009,214,186,436,256,327,432,266,302,888,037,131,208,983,523,535,358,989,821,
958,824,205,369,097,114,020,334,969,228,364,011,599,923,394,896,063,093,111,
836,551,664,087,831,297,940,123,459,191,305,582,252,220,995,393,538,946,519,
138,858,572,895,585,335,778,508,909,141,106,543,168,942,855,706,127,936,437,
697,138,532,714,590,622,404,333,398,352,058,474,066,459,701,289,529,849,291,
853,301,853,483,655,636,775,634,541,193,310,900,447,894,940,728,652,431,784,
132,941,493,737,114,660,504,972,171,237,474,247,118,117,738,920,339,566,157,
400,260,800,237,059,080,458,849,084,840,783,789,212,889,906,753,783,699,618,
137,149,908,054,755,814,749,828,461,847,518,571,588,516,891,128,082,247,515,
907,759,602,651,188,188,330,544,328,522,169,559,046,903,864,542,110,330,678,
869,511,090,541,788,233,083,576,171,303,314,138,640,359,794,472,471,038,984,
591,438,344,462,824,228,200,994,755,478,327,610,158,162,333,154,479,527,995,
221,197,185,929,871,484,311,961,121,460,077,064,349,570,015,964,509,081,893,
046,588,409,433,491,291,316,105,357,447,822,265,711,821,329,106,905,369,852,
074,824,716,783,732,827,625,216,531,287,694,176,234,724,002,891,966,979,469,
335,088,129,908,752,358,058,376,148,301,895,570,764,547,764,255,759,137,980,
781,797,687,249,958,721,095,971,051,535,940,397,962,867,720,709,245,838,916,
503,869,279,868,274,662,095,345,102,784,427,845,137,960,982,442,087,751,386,
901,620,729,081,808,367,868,329,981,997,465,568,911,704,429,117,906,047,783,
628,943,402,918,936,367,057,396,114,601,948,993,223,317,354,373,438,273,936,
927,022,012,351,060,945,640,027,759,955,000,587,814,074,054,525,780,366,743,
336,135,561,764,285,743,458,602,902,810,506,424,810,975,104,275,485,383,918,
782,988,689,587,834,670,039,827,024,237,994,224,855,983,236,922,802,546,084,
728,606,105,296,958,469,600,567,931,567,710,896,569,775,759,772,960,686,427,
107,659,102,452,958,379,485,215,746,851,094,425,166,549,034,413,783,730,964,
958,608,335,771,573,717,570,617,410,636,692,510,478,903,816,291,474,460,376,
967,035,850,212,945,877,607,293,422,109,766,286,420,688,846,148,224,329,495,
858,686,038,584,616,692,273,506,400,122,593,928,618,685,414,596,384,733,947,
874,541,398,023,334,702,766,590,133,052,325,722,230,785,223,960,038,392,620,
156,736,545,387,233,434,498,595,687,379,899,081,051,504,329,241,504,503,690,
771,918,613,817,777,933,938,974,568,572,105,511,840,793,638,991,036,766,752,
627,856,377,553,708,867,965,361,879,173,023,842,566,921,982,463,448,134,263,
414,355,025,686,202,963,265,617,232,671,524,754,933,794,866,067,165,330,471,
130,605,776,640,021,702,981,507,662,907,724,360,936,925,844,139,888,957,044,
931,230,917,922,559,352,648,596,902,334,833,274,999,380,626,062,301,644,355,
262,450,475,118,476,511,360,369,903,412,711,140,999,222,130,018,887,806,292,
784,030,803,938,389,672,527,678,614,714,797,170,783,629,673,141,733,191,132,
264,944,862,652,240,661,234,186,497,967,003,813,289,880,039,729,614,847,088,
831,599,283,905,009,354,412,802,268,088,651,256,659,464,379,635,749,718,273,
020,292,929,600,898,710,845,897,221,722,901,263,615,106,509,366,602,080,340,
673,260,836,871,375,327,567,303,108,308,691,417,485,076,912,598,800,878,568,
635,127,617,665,729,789,493,756,559,321,043,902,941,160,107,558,397,305,837,
966,441,953,879,063,736,289,212,333,017,184,305,519,630,290,954,461,360,568,
277,292,125,288,338,875,441,401,332,879,226,747,077,747,364,063,471,846,537,
789,574,951,374,838,271,832,449,214,609,584,195,023,300,580,197,911,449,932,
537,271,255,513,122,859,113,994,894,422,898,517,284,221,961,090,658,167,220,
749,885,026,126,195,396,764,569,543,984,883,370,812,416,136,323,079,192,799,
832,229,766,765,739,770,582,572,909,633,263,216,140,364,628,312,291,605,412,
254,570,524,206,265,205,946,658,665,271,727,850,588,377,851,130,951,059,838,
944,245,243,898,586,618,142,223,593,594,904,682,760,209,767,495,797,639,606,
827,959,589,284,395,395,299,010,369,092,632,540,540,116,806,639,193,294,753,
887,022,346,770,711,113,109,247,241,671,964,536,229,168,209,369,548,351,782,
506,106,351,830,654,859,950,154,710,525,054,036,565,893,387,340,671,440,741,
479,786,016,643,888,536,251,199,390,225,144,012,643,151,360,198,305,610,812,
004,801,985,683,730,000,395,235,824,990,033,609,252,611,851,346,044,093,937,
856,806,743,739,591,852,578,636,691,930,474,775,988,221,324,104,902,710,964,
391,526,992,586,501,678,956,681,381,911,088,348,850,699,752,214,619,452,554,
372,492,262,718,664,448,900,208,261,812,265,199,260,461,257,277,760,112,960,
951,075,874,093,164,202,476,590,487,923,854,807,191,062,306,709,721,413,376,
339,285,040,799,835,442,585,377,086,180,129,116,068,631,226,746,729,396,135,
203,269,573,491,403,701,701,753,368,340,504,480,572,101,842,435,399,973,582,
124,868,363,207,478,940,659,970,002,176,766,718,888,000,507,753,155,800,941,
403,391,377,718,842,263,023,738,767,980,237,504,644,550,055,193,361,953,181,
775,171,533,127,976,894,589,049,402,160,244,230,107,671,030,612,465,427,609,
950,354,338,267,170,825,364,456,282,398,583,463,234,155,080,045,301,027,687,
072,950,649,242,071,101,195,204,774,219,087,204,329,687,897,845,874,911,928,
889,255,403,544,199,399,549,123,722,325,993,199,427,538,451,357,757,026,439,
035,286,211,856,288,816,572,583,804,672,965,830,210,075,992,557,877,428,772,
822,372,864,900,386,403,707,376,287,895,823,703,640,453,508,726,546,381,093,
838,096,247,390,083,281,187,762,372,184,966,723,968,412,719,271,076,924,560,
780,901,747,152,461,204,528,609,021,137,241,738,066,136,048,149,899,805,700,
148,915,149,364,725,846,779,404,043,551,565,594,576,741,652,004,458,632,091,
936,760,870,182,907,293,144,993,822,399,976,747,237,492,880,919,409,332,992,
990,335,537,931,346,342,775,927,087,691,904,124,821,271,569,088,304,722,571,
678,821,358,372,497,367,549,495,709,724,903,917,776,228,482,825,991,548,406,
964,926,876,517,522,154,863,231,320,592,067,015,219,919,382,549,492,902,639,
959,009,601,122,627,376,753,323,522,240,421,003,408,652,606,939,664,458,061,
396,243,135,609,729,490,149,430,086,516,312,019,918,284,714,458,070,374,929,
758,073,206,562,333,279,005,016,031,017,722,075,498,791,196,910,747,874,086,
329,905,415,830,770,651,982,697,427,281,229,113,257,140,343,935,065,149,654,
205,713,464,089,564,806,110,903,698,882,875,471,663,815,609,754,447,089,691,
933,657,515,910,542,798,049,776,895,099,291,749,192,194,917,632,960,648,153,
125,125,700,208,337,913,675,593,400,959,534,907,787,088,121,197,412,634,582,
441,893,991,864,980,591,655,381,727,288,950,795,125,816,186,083,688,336,004,
754,718,192,466,073,668,220,403,109,762,279,490,971,629,614,949,200,619,177,
769,646,052,196,708,666,176,524,939,152,154,115,631,899,526,743,762,837,094,
457,640,608,358,956,303,827,233,181,507,125,780,358,631,196,024,842,367,243,
478,167,326,899,535,987,809,911,828,835,135,220,310,791,150,352,375,587,009,
942,530,768,528,055,623,900,070,679,540,006,573,276,928,534,655,119,521,996,
678,805,273,817,271,019,800,101,832,985,594,448,938,249,524,167,266,828,184,
507,507,746,365,748,557,287,009,577,398,245,579,040,508,808,004,141,465,494,
178,112,263,637,051,782,235,754,420,913,493,501,947,004,860,631,523,518,365,
691,564,145,029,035,266,127,617,788,478,235,190,989,780,215,712,693,984,254,
052,728,920,030,957,075,350,557,311,594,754,922,122,586,769,489,539,399,219,
956,322,377,788,119,502,707,159,803,195,006,932,151,137,102,417,127,602,716,
443,813,938,364,202,767,720,024,872,939,293,349,459,408,301,183,177,697,600,
221,068,632,565,247,620,747,242,400,439,612,576,003,162,336,382,161,645,388,
790,507,316,814,000,047,092,679,717,646,125,496,082,455,030,245,250,195,415,
356,308,219,729,650,972,761,808,850,556,560,043,312,435,015,096,040,869,991,
087,962,424,286,802,048,472,043,131,837,219,931,780,834,906,433,350,674,547,
685,960,187,614,646,888,662,402,972,969,902,399,095,916,553,100,712,228,010,
048,812,260,857,847,946,526,402,713,098,667,592,318,265,015,559,188,979,606,
254,582,532,845,855,732,484,709,488,503,511,408,662,355,188,522,966,200,041,
580,641,931,420,000,258,949,497,954,498,212,369,489,982,657,278,754,329,345,
602,924,592,049,014,263,120,974,253,697,816,947,177,544,756,878,218,438,089,
052,808,087,040,885,977,163,317,722,306,985,354,342,120,644,926,906,884,784,
078,751,298,952,720,876,534,430,091,346,258,721,872,095,147,519,033,458,580,
577,461,186,178,087,807,697,823,343,409,493,037,107,765,696,026,286,406,358,
279,875,996,388,327,337,290,607,133,301,678,719,050,665,770,528,823,692,434,
301,357,363,286,457,384,012,671,112,919,606,840,353,822,465,124,024,611,496,
876,548,831,057,690,276,204,701,755,684,983,507,723,895,062,212,814,878,832,
043,163,957,312,584,789,593,322,195,786,963,514,716,262,855,021,290,506,751,
295,663,671,365,806,445,157,614,380,593,408,777,316,206,548,713,469,315,934,
297,608,773,489,470,887,318,473,797,193,822,299,363,432,419,992,565,100,044,
572,932,721,623,264,796,025,303,274,990,846,674,793,436,060,419,972,539,858,
827,003,240,261,400,580,947,674,543,049,263,859,248,342,193,639,113,456,120,
085,747,208,048,680,441,491,645,990,632,823,561,402,816,925,587,571,431,010,
377,753,198,112,658,828,106,586,232,090,492,690,496,246,780,139,398,504,351,
229,541,466,500,177,461,489,751,003,209,230,915,704,328,234,768,312,035,692,
398,831,979,173,484,731,270,644,242,980,235,987,658,017,306,477,733,251,331,
952,068,175,525,923,778,299,272,906,808,490,785,178,654,511,039,197,900,457,
479,572,028,992,870,522,675,032,164,539,671,524,851,008,729,005,252,550,751,
104,544,681,344,798,095,514,352,309,888,652,173,196,041,524,336,711,986,353,
583,418,526,004,587,571,817,913,738,710,023,515,512,665,404,235,599,821,065,
257,242,093,185,586,168,095,454,126,841,989,267,548,656,692,758,738,265,668,
706,746,376,255,008,083,473,476,493,964,843,437,144,264,499,716,405,831,867,
003,189,689,207,183,602,102,393,038,517,037,704,509,119,586,205,727,270,947,
556,464,519,332,398,643,900,027,772,197,696,817,358,972,801,631,529,895,829,
552,995,031,676,005,537,067,593,387,133,163,148,073,282,236,718,184,132,094,
756,667,373,596,906,100,373,088,124,467,601,813,877,849,981,478,358,981,194,
470,883,864,747,474,200,936,523,803,288,240,966,921,596,773,815,068,193,966,
727,152,785,841,584,523,221,947,852,929,069,328,733,896,666,089,648,367,307,
293,418,511,633,093,727,570,130,350,614,469,209,853,217,447,337,611,081,467,
227,680,942,506,028,270,432,297,673,690,204,725,533,181,131,241,923,712,705,
779,954,747,925,112,777,456,874,567,076,267,435,173,049,987,295,767,368,573,
999,329,648,915,178,567,620,278,177,481,859,156,190,077,851,555,471,328,417,
928,076,138,324,905,819,735,485,988,860,206,200,453,087,565,013,631,712,860,
484,210,665,571,800,207,235,605,123,879,476,189,037,269,723,892,063,780,030,
038,340,510,187,984,511,941,840,527,551,332,666,465,091,100,010,884,114,658,
638,486,107,886,378,069,551,697,395,722,875,514,055,978,223,814,555,219,141,
338,931,700,570,354,830,005,639,412,394,101,276,148,957,485,900,044,840,064,
777,644,554,667,882,348,547,321,336,429,991,578,082,165,560,541,567,485,203,
649,208,462,076,829,209,169,058,181,855,545,525,744,260,682,033,339,785,474,
500,770,197,413,481,262,167,013,971,405,274,850,473,508,892,025,042,710,194,
669,050,303,922,249,233,431,174,727,405,425,590,716,205,405,348,756,295,659,
019,925,040,832,330,132,619,354,386,442,032,269,379,215,274,489,556,272,705,
819,942,394,254,373,662,848,505,137,674,538,790,986,459,862,710,166,626,426,
191,139,738,303,570,113,209,046,500,379,373,397,018,715,156,171,017,758,748,
066,266,989,639,367,073,583,678,374,908,514,382,054,130,480,900,857,498,882,
740,474,575,584,466,912,312,779,011,672,697,784,187,951,496,934,406,358,756,
497,809,094,924,180,920,554,292,513,323,361,411,278,318,417,554,412,606,605,
536,282,729,839,913,241,029,288,763,769,315,110,231,011,038,012,568,740,102,
779,881,312,888,857,701,346,302,977,340,027,549,745,933,103,799,994,508,409,
996,949,060,704,351,625,896,620,769,345,252,110,851,522,906,087,814,307,915,
990,756,784,940,580,631,853,068,283,315,885,571,476,838,294,298,678,278,939,
607,056,937,974,296,206,453,545,542,101,214,221,332,330,460,493,893,509,568,
199,070,041,967,914,281,500,209,566,139,670,709,808,694,168,050,206,858,686,
173,691,830,354,609,970,509,644,527,419,831,348,678,168,756,445,590,841,889,
940,746,939,921,144,284,347,883,097,957,639,235,973,544,541,959,105,811,252,
118,613,780,453,254,092,965,540,651,565,104,365,154,570,569,094,402,583,967,
522,473,296,216,258,072,243,182,039,140,655,535,450,149,617,888,148,770,197,
222,520,854,511,035,050,214,812,579,043,514,715,584,659,161,759,649,961,287,
282,391,922,283,959,629,121,814,362,643,856,596,648,329,708,817,994,013,862,
261,334,309,481,378,121,611,295,194,363,244,170,490,075,439,768,496,253,377,
202,692,678,615,867,885,941,207,817,294,189,890,040,309,335,996,080,917,670,
047,487,715,014,313,932,902,564,460,512,384,859,836,195,249,216,065,248,912,
003,993,012,328,699,331,973,432,174,897,049,613,506,447,807,299,878,296,453,
517,655,947,433,571,734,694,580,976,399,789,616,772,420,875,806,029,008,497,
980,359,147,908,326,198,536,136,393,864,500,982,526,252,715,303,680,944,378,
143,794,238,749,763,436,303,545,155,331,033,536,681,590,497,085,642,992,953,
192,438,338,610,226,498,713,208,280,555,948,715,953,833,123,511,293,358,363,
402,026,160,648,906,495,422,133,007,207,164,613,534,081,519,231,302,876,903,
570,784,854,050,659,668,490,138,689,347,384,166,043,607,725,704,818,166,531,
530,428,596,394,631,836,796,795,313,939,167,719,355,908,698,714,496,836,004,
557,338,092,143,145,254,980,271,184,977,420,044,015,997,104,219,713,709,436,
962,661,022,044,679,759,841,705,231,887,499,203,575,768,157,820,460,480,389,
666,863,989,973,193,688,174,335,289,558,270,523,741,074,335,674,543,766,927,
760,922,556,163,241,586,957,876,136,396,722,271,049,165,139,729,028,488,352,
336,730,813,853,017,034,938,616,247,187,280,892,288,553,100,682,782,121,267,
192,627,917,547,310,563,468,779,433,079,197,599,276,535,063,622,618,725,818,
399,150,675,746,794,623,353,413,345,862,431,608,178,336,067,019,135,624,949,
646,592,613,522,244,090,965,582,903,677,114,408,546,815,810,624,632,574,690,
639,766,199,090,665,034,435,561,840,011,886,242,687,710,796,131,312,204,968,
928,200,426,722,226,562,295,611,806,410,969,503,464,912,873,855,469,313,403,
318,842,894,844,901,472,505,850,245,095,571,701,605,709,057,629,035,531,797,
386,002,578,217,955,414,896,762,098,848,681,870,045,283,124,110,495,647,092,
413,044,405,292,371,096,076,899,109,872,240,599,994,146,912,016,852,113,506,
281,785,251,827,236,304,169,014,362,593,855,031,266,519,997,472,395,154,612,
253,950,431,605,188,569,778,739,653,132,317,983,429,369,675,073,647,091,774,
373,554,203,992,350,430,664,738,276,909,577,858,185,391,992,552,969,270,832,
867,850,353,865,678,150,897,532,575,365,033,349,058,233,541,756,776,497,869,
561,829,456,955,447,728,272,273,180,527,013,472,242,714,027,036,057,540,214,
413,558,837,720,175,716,335,945,935,180,538,775,871,426,005,946,934,788,514,
890,484,531,853,889,971,455,473,193,555,677,699,800,891,589,033,429,172,586,
476,811,880,208,349,317,207,661,951,441,477,750,304,797,408,796,474,022,245,
632,529,184,646,866,818,082,687,980,914,696,209,441,267,054,406,989,788,094,
199,340,021,143,302,738,355,871,955,871,838,398,119,963,844,696,999,347,511,
989,592,745,621,426,911,133,804,153,652,450,379,297,376,187,891,295,853,163,
193,107,799,316,238,004,452,943,807,984,275,698,184,510,687,662,955,512,404,
665,486,783,584,641,580,863,853,516,218,114,622,126,814,747,732,958,595,716,
805,025,482,504,348,731,101,600,274,511,363,501,281,277,209,003,323,707,029,
474,787,354,013,684,700,987,414,242,292,764,509,299,755,752,613,678,417,718,
373,632,435,299,077,957,134,519,928,728,462,399,083,201,826,173,314,341,410,
084,777,899,172,083,706,103,632,251,303,168,233,062,461,832,884,179,426,882,
888,764,939,154,035,792,312,270,747,213,733,731,922,903,427,060,073,963,911,
159,706,628,854,698,858,540,219,857,463,136,295,430,755,496,390,748,428,853,
477,678,769,089,913,675,548,440,582,981,907,133,220,549,388,294,455,470,052,
577,472,497,221,283,506,695,379,993,668,398,111,631,185,510,120,342,355,164,
884,743,226,786,839,412,994,528,512,149,269,333,606,329,725,332,673,477,894,
970,907,314,432,445,818,405,053,643,577,811,871,514,916,777,119,574,293,906,
548,410,329,445,358,388,493,406,681,660,616,626,396,059,707,595,034,340,182,
264,703,751,479,899,592,388,570,534,520,567,680,037,322,521,495,154,421,285,
122,991,037,727,890,022,042,380,705,970,172,982,802,135,086,257,637,780,767,
789,887,834,202,245,122,884,787,499,125,250,023,044,869,985,429,350,051,757,
922,025,287,568,047,485,301,665,921,748,271,044,379,305,457,770,820,125,193,
697,197,451,666,378,432,075,603,218,853,380,519,494,683,547,386,768,228,893,
221,632,151,316,602,830,801,204,231,696,123,765,950,820,566,297,068,967,876,
310,040,465,037,571,011,692,198,410,432,219,133,905,070,915,535,692,887,267,
319,816,578,637,428,196,407,868,048,535,015,290,479,360,701,051,799,099,447,
726,042,597,861,641,278,734,811,170,890,482,269,679,564,544,698,833,295,042,
379,755,271,692,171,141,527,620,723,477,255,438,529,730,554,704,917,226,176,
793,956,110,073,868,900,714,553,205,618,917,044,366,712,157,283,451,830,895,
164,217,249,051,521,330,093,983,872,214,330,505,078,823,342,568,325,689,474,
629,458,579,126,157,966,049,384,663,603,388,720,426,818,408,268,901,794,091,
831,386,706,494,576,338,002,991,186,067,686,736,699,526,278,695,192,418,276,
972,339,828,278,816,038,501,529,718,796,078,591,868,027,961,275,765,336,092,
763,934,844,768,749,040,498,259,455,683,924,715,570,961,719,136,971,038,693,
221,037,213,713,498,628,276,316,937,471,303,394,613,126,546,725,529,544,409,
263,068,283,398,762,253,447,802,519,279,940,166,439,517,448,190,585,683,203,
065,824,229,576,053,606,564,822,504,660,552,999,898,786,777,070,006,805,385,
673,679,571,875,846,194,712,963,976,028,868,111,288,597,059,207,672,155,588,
273,298,581,129,940,134,484,240,580,973,312,174,059,968,181,594,636,626,343,
076,016,155,684,009,433,624,025,156,188,086,794,119,160,233,537,315,315,428,
215,315,268,523,883,097,530,209,282,002,331,039,756,032,243,956,662,746,215,
840,729,211,043,098,853,102,221,241,202,605,560,801,016,535,285,017,832,575,
160,505,693,443,402,181,957,885,566,205,626,294,662,813,686,684,958,923,469,
692,798,903,687,424,489,820,157,321,557,511,796,680,853,422,464,725,104,236,
024,391,927,227,747,824,261,864,928,009,575,288,423,519,190,871,202,087,072,
662,634,873,378,989,242,864,669,331,208,717,897,546,374,706,229,537,421,144,
998,691,157,537,844,199,416,160,403,341,376,291,006,594,770,128,616,062,857,
165,509,273,402,787,936,499,247,002,985,277,124,085,728,150,744,013,142,689,
949,788,887,054,677,205,561,122,347,941,309,961,879,020,285,220,938,866,061,
368,527,568,724,789,792,924,346,807,674,140,808,795,658,488,943,294,040,245,
154,906,452,874,704,296,583,517,785,043,845,518,762,612,875,436,387,473,995,
374,584,409,922,070,145,503,594,776,765,991,368,520,219,920,463,920,301,576,
607,131,253,349,880,595,261,950,846,711,795,382,070,857,525,446,155,500,631,
996,598,743,779,018,299,757,385,386,710,759,484,529,674,312,290,845,877,873,
581,095,000,304,616,615,071,355,427,293,678,516,724,004,274,423,919,474,829,
952,299,214,443,589,686,432,698,960,698,489,718,572,004,049,625,444,830,953,
436,415,936,223,716,934,192,470,550,839,536,359,662,770,141,904,466,951,250,
138,642,675,896,061,886,183,489,503,008,524,744,719,490,394,744,727,282,305,
452,688,897,485,457,430,603,717,224,407,410,441,416,352,211,028,030,081,654,
064,662,496,448,366,506,058,424,208,995,996,002,059,891,943,137,318,641,933,
496,997,797,030,829,913,536,702,665,410,468,122,801,796,202,222,647,470,862,
831,936,045,567,661,915,436,147,377,676,300,635,823,994,949,352,947,566,331,
548,774,143,128,827,521,293,789,066,248,155,970,366,676,663,322,645,094,703,
821,366,738,649,303,937,043,740,748,525,215,955,661,717,542,006,088,785,769,
369,412,116,785,165,534,606,889,411,529,183,021,909,617,704,522,568,216,484,
477,964,783,077,755,635,282,692,316,755,673,853,000,639,946,286,489,367,848,
657,924,689,703,178,769,701,425,021,924,645,060,263,327,019,457,431,544,906,
402,503,870,918,365,188,125,165,605,687,039,860,218,356,091,330,266,694,454,
456,702,105,125,197,088,757,311,689,403,678,442,953,237,213,066,365,354,424,
484,810,072,048,897,463,750,755,196,475,265,278,405,903,580,991,859,314,704,
981,387,831,319,958,368,887,538,995,844,021,537,111,194,672,774,238,101,889,
613,829,652,678,676,621,858,354,949,080,272,539,355,187,335,012,387,828,577,
052,726,233,589,225,293,626,575,079,951,770,452,483,876,284,066,554,332,611,
441,303,290,177,195,194,015,904,858,561,730,768,531,021,178,215,945,633,900,
125,064,734,639,736,903,176,181,444,978,838,876,119,368,885,740,850,883,362,
765,328,433,986,145,270,954,704,912,907,080,772,417,083,861,380,114,344,997,
052,846,845,386,001,565,151,377,856,464,707,964,625,037,196,063,975,064,176,
999,063,916,294,532,596,118,685,348,058,348,427,684,930,540,028,862,706,495,
263,667,404,703,985,106,362,063,880,403,104,706,215,662,470,935,065,175,179,
164,683,469,453,273,830,167,936,210,945,773,226,918,620,390,911,572,847,754,
985,730,745,004,310,579,867,838,371,420,822,192,202,901,321,852,443,692,649,
662,455,378,983,674,762,589,517,612,168,565,371,128,166,714,110,503,256,504,
436,693,302,719,987,711,709,382,647,938,184,842,472,579,780,154,940,332,376,
275,631,811,234,616,921,683,435,292,599,203,898,583,056,097,061,849,573,036,
214,253,625,564,549,882,315,670,956,150,883,982,088,017,035,809,426,377,168,
901,826,650,489,441,687,450,533,665,108,537,424,013,440,907,353,459,288,561,
568,709,788,976,491,320,297,582,576,555,120,057,044,831,539,620,830,961,829,
615,170,573,272,518,566,991,259,125,733,218,588,517,912,098,756,835,371,502,
397,343,280,644,983,613,292,669,634,982,255,226,713,620,977,504,325,662,363,
540,157,248,518,842,614,346,974,015,522,343,666,806,832,300,988,013,210,651,
640,110,996,847,769,323,098,939,890,527,983,594,311,363,778,548,680,051,171,
923,129,204,799,458,519,720,677,889,546,865,383,854,349,368,566,222,116,095,
421,609,119,064,711,444,690,213,322,597,763,847,170,233,586,299,918,684,235,
051,827,276,259,033,085,493,013,797,546,537,633,105,287,679,775,457,718,976,
618,148,142,704,249,324,848,530,454,617,433,769,082,754,094,106,360,475,577,
706,848,232,623,805,662,974,865,964,868,863,005,629,418,772,212,884,714,487,
193,315,778,729,555,639,237,180,732,696,020,846,753,136,437,337,533,771,843,
145,343,768,696,797,440,940,735,838,046,525,887,932,770,468,663,409,119,283,
699,746,210,086,474,050,001,743,040,477,696,697,726,036,889,064,976,603,208,
891,819,871,281,958,608,798,447,288,687,435,080,689,377,094,132,322,756,182,
224,189,706,185,060,325,858,084,957,133,184,337,861,708,121,617,902,114,522,
498,500,649,475,169,997,997,899,888,805,519,719,100,380,340,074,160,018,405,
806,838,660,088,140,243,936,562,981,656,050,953,105,571,288,771,580,385,519,
301,656,454,496,145,995,903,474,503,593,269,154,278,353,634,695,719,228,603,
829,595,453,763,595,449,415,403,358,047,450,685,542,262,538,030,899,854,225,
690,323,714,593,557,366,960,417,400,676,600,258,415,340,881,031,807,514,291,
842,653,105,143,837,146,307,752,662,464,447,585,440,727,474,892,741,908,228,
866,958,417,345,945,819,433,333,980,614,430,700,440,489,689,746,202,476,371,
314,447,591,473,347,165,818,875,979,897,378,678,188,365,073,678,744,578,219,
181,375,772,209,456,121,563,221,160,068,198,752,265,069,405,057,024,202,016,
420,341,196,438,939,731,307,082,236,172,598,842,364,751,135,509,447,307,094,
880,547,432,182,956,609,029,851,793,340,835,940,289,959,578,693,714,740,180,
088,340,793,695,357,665,891,474,804,432,195,523,452,005,971,103,214,554,042,
224,356,865,605,637,825,001,283,949,163,048,065,931,959,613,072,843,331,566,
003,189,684,055,869,591,841,493,862,939,240,622,399,377,159,301,036,472,888,
438,733,938,368,727,253,601,922,128,636,213,841,125,961,418,025,096,140,987,
472,711,200,344,395,147,311,149,507,787,320,437,651,194,797,904,335,717,769,
121,673,163,889,076,056,816,505,971,096,690,352,997,325,477,652,704,999,426,
326,516,623,603,362,373,548,382,530,088,471,988,519,394,983,728,484,506,852,
988,292,948,892,333,195,496,230,883,859,004,331,848,808,984,483,906,643,986,
873,899,226,682,944,541,094,780,868,396,335,154,417,981,482,370,337,168,350,
088,890,263,160,646,717,161,001,929,807,310,663,628,736,205,310,857,138,163,
265,952,121,974,829,632,122,626,143,129,160,085,373,486,957,087,819,895,470,
662,508,017,815,995,322,905,880,136,915,460,372,207,468,539,863,001,115,923,
823,723,967,567,481,409,596,575,701,192,926,531,367,280,540,560,134,945,491,
021,467,634,527,399,515,265,835,896,458,933,487,636,274,765,260,291,341,673,
307,279,925,086,336,759,540,194,923,264,598,858,329,407,891,740,867,635,799,
611,213,753,089,902,775,767,046,921,055,802,588,552,235,485,085,174,528,772,
619,948,496,776,508,684,251,443,130,882,036,306,768,273,192,094,071,144,784,
566,629,642,012,030,203,217,099,728,886,037,329,171,406,422,906,352,206,095,
539,592,284,389,243,082,908,439,810,811,749,177,350,554,410,098,199,346,660,
484,343,499,716,077,575,112,592,174,007,550,707,319,839,142,711,410,045,731,
050,327,176,164,927,996,663,975,428,033,471,495,609,151,286,927,838,047,554,
291,437,041,147,719,260,561,020,459,279,458,914,239,109,112,555,135,010,669,
981,886,095,409,678,961,661,666,312,249,580,941,546,559,221,556,545,508,182,
643,526,891,497,629,900,867,949,054,843,226,967,607,436,711,471,290,882,300,
620,013,942,413,751,232,281,648,580,130,094,935,500,136,649,601,056,155,587,
906,843,219,061,990,825,918,233,268,744,215,619,102,953,379,786,452,747,252,
078,134,206,259,455,948,986,311,797,345,765,650,985,706,535,716,630,723,545,
358,842,166,107,923,704,224,100,831,709,127,092,157,613,304,872,314,776,750,
971,165,272,971,645,848,990,202,743,024,251,308,580,313,009,433,838,815,562,
093,890,481,581,690,476,340,445,157,330,460,769,321,227,635,906,842,730,537,
041,290,559,097,451,426,452,537,478,219,684,745,615,468,719,920,775,431,967,
142,375,443,887,313,792,697,784,570,714,859,763,156,112,878,628,568,427,476,
378,507,253,325,474,810,427,765,582,589,696,072,530,586,815,843,652,180,231,
786,298,934,441,314,469,702,911,839,589,272,740,314,389,870,343,523,033,207,
609,647,412,010,273,729,254,988,137,171,677,319,717,019,012,894,193,032,766,
435,384,928,756,402,041,924,070,455,922,264,879,705,968,288,146,247,312,078,
237,840,481,345,816,720,375,312,165,948,811,710,731,374,565,094,616,846,447,
797,881,852,534,937,163,923,445,261,600,561,470,468,422,529,608,267,013,461,
934,212,132,929,218,330,548,862,392,831,114,499,800,079,810,640,798,936,973,
319,472,621,049,039,780,606,979,806,303,393,592,265,711,746,145,865,187,623,
087,618,778,180,900,680,322,376,269,196,444,010,608,466,477,410,848,413,983,
750,234,332,941,435,433,392,175,014,271,766,886,077,693,312,925,012,940,496,
837,659,128,803,811,243,586,104,065,033,881,762,499,225,307,262,906,161,210,
150,910,452,001,784,646,316,955,551,501,429,038,365,023,852,564,031,883,471,
089,653,897,597,777,683,609,509,605,993,980,515,412,120,285,960,748,034,581,
523,683,501,539,595,944,928,187,690,777,389,490,387,393,973,196,166,035,857,
125,460,630,374,705,701,326,673,114,655,462,140,735,661,528,150,239,703,851,
240,802,783,134,444,786,920,515,554,431,372,624,294,595,725,190,715,313,457,
922,255,540,916,394,880,348,254,352,874,876,819,027,948,699,193,929,117,646,
094,296,711,785,856,231,077,740,913,198,608,346,103,499,920,850,997,350,385,
697,072,826,602,168,239,770,997,605,678,967,489,154,601,149,904,680,180,621,
385,486,350,683,831,777,474,429,639,353,413,722,832,041,371,484,134,542,662,
477,295,242,806,750,735,542,904,060,045,045,146,849,943,781,126,722,992,207,
374,289,761,602,326,319,692,919,804,419,470,591,616,909,304,487,006,148,821,
523,258,562,924,597,932,091,614,444,840,246,819,422,123,797,459,246,162,246,
550,401,093,759,039,431,916,783,418,048,116,438,685,731,688,809,056,666,560,
601,537,615,524,694,574,051,364,482,987,687,370,004,621,468,960,935,420,988,
485,636,023,318,730,063,483,562,259,177,708,060,330,328,468,007,048,478,967,
118,883,023,221,196,474,162,841,973,465,660,499,721,170,135,358,042,472,759,
831,986,461,767,026,883,496,868,181,249,643,067,347,726,495,784,457,806,780,
432,597,825,526,454,669,271,862,257,570,007,141,794,446,910,879,930,421,610,
244,329,250,991,222,381,391,768,066,556,142,345,205,296,876,177,183,165,770,
598,723,200,447,143,520,750,948,239,627,535,013,982,834,663,864,606,885,486,
872,892,766,569,932,821,423,899,821,942,335,055,699,256,415,319,705,645,187,
501,611,420,338,394,093,169,965,818,847,417,595,560,517,021,619,115,164,468,
392,739,489,618,162,433,851,180,043,377,817,201,429,998,486,463,142,931,247,
654,511,706,872,690,991,106,506,256,879,150,199,981,547,828,293,491,261,456,
661,067,692,297,263,180,015,384,239,563,100,743,277,283,973,483,689,573,181,
015,887,289,613,378,709,473,815,591,807,684,828,409,168,479,856,275,720,280,
774,114,231,240,960,604,789,444,974,006,803,506,082,389,819,271,157,421,457,
623,280,131,580,638,281,899,136,222,051,519,044,208,661,215,012,532,909,551,
219,902,422,562,201,643,541,314,711,813,326,391,075,658,167,566,578,527,513,
177,463,433,223,937,867,493,786,796,705,283,499,303,515,335,245,512,314,606,
483,002,414,994,217,818,434,854,837,732,177,405,295,185,590,989,415,392,267,
716,474,279,135,032,565,831,476,961,781,947,586,813,193,336,635,789,253,607,
398,835,725,645,508,094,509,087,495,725,304,975,824,866,029,865,474,229,404,
521,635,828,033,476,984,053,363,744,966,071,213,307,857,445,576,537,896,850,
690,737,768,349,759,950,541,630,300,090,926,790,914,666,245,109,740,708,463,
870,727,618,862,602,122,939,404,277,273,323,209,030,639,479,505,144,392,814,
963,120,307,349,138,891,052,160,445,394,331,248,353,050,627,313,623,778,520,
410,116,728,202,596,530,202,443,213,146,408,122,389,122,300,014,220,835,363,
584,971,804,914,209,037,433,790,914,725,314,586,891,687,424,966,624,369,104,
462,875,186,779,529,500,317,568,869,135,863,486,582,053,735,383,355,106,774,
210,726,191,986,460,996,790,986,345,382,499,086,801,895,884,088,356,231,116,
180,869,144,729,482,297,006,875,173,698,553,816,121,777,371,751,651,102,284,
857,454,153,287,102,020,118,590,304,490,062,656,527,040,757,903,117,414,204,
220,882,629,831,823,050,980,876,059,210,727,755,181,990,223,757,532,417,870,
986,236,737,992,807,583,767,916,237,543,064,583,570,314,014,553,987,483,801,
447,036,475,836,886,195,392,183,291,673,384,492,969,044,522,760,785,290,113,
643,254,697,019,759,667,324,710,834,840,480,883,278,678,008,127,808,191,582,
772,932,685,172,161,508,110,604,500,333,657,313,339,543,806,458,920,380,159,
891,744,997,943,263,897,350,746,615,142,995,544,863,107,613,984,663,026,085,
430,931,289,535,036,197,437,479,723,266,103,227,812,314,958,020,696,966,408,
935,925,215,258,175,844,073,090,244,779,920,927,818,510,435,563,570,194,494,
163,920,250,521,395,443,982,635,189,591,382,693,627,997,759,835,749,283,014,
527,332,647,195,395,700,385,707,194,629,698,235,330,047,284,766,383,166,986,
909,008,435,751,440,184,209,813,130,331,985,462,569,158,116,847,732,127,395,
265,908,370,894,650,379,431,719,490,871,380,479,115,707,735,672,943,092,409,
227,125,651,842,889,897,279,953,882,456,068,934,513,830,739,762,932,611,489,
653,666,157,854,447,496,894,992,662,230,399,600,779,755,041,715,441,482,631,
106,105,898,870,640,089,181,205,917,427,423,859,596,353,825,794,890,134,981,
501,237,226,880,706,920,526,236,437,752,969,825,169,191,312,697,165,522,761,
509,795,471,495,793,755,409,152,561,802,139,947,023,917,022,750,663,497,461,
444,591,206,195,009,241,118,395,034,054,267,999,054,918,181,220,132,153,617,
742,848,638,236,425,793,042,550,649,273,946,355,282,581,334,310,783,425,038,
444,410,984,747,056,078,131,907,611,385,474,716,397,922,711,207,709,966,083,
400,141,014,188,242,673,393,919,663,138,923,727,893,408,429,643,179,570,542,
540,859,375,130,469,972,813,061,231,502,315,660,838,899,472,410,453,120,683,
044,073,360,182,070,728,195,522,416,442,375,755,709,168,914,200,087,495,319,
012,798,476,145,170,633,925,336,275,955,416,147,504,769,072,962,256,499,029,
398,571,887,101,633,206,619,622,046,819,075,740,783,182,149,092,179,894,749,
715,935,322,122,928,472,834,931,844,387,163,656,833,233,969,553,616,693,097,
931,829,019,687,956,853,399,048,835,028,652,069,120,115,297,465,638,966,202,
954,638,562,191,535,421,463,808,762,575,497,819,662,638,515,714,642,529,955,
459,886,710,477,338,714,407,139,302,986,160,861,523,328,925,287,276,680,648,
121,723,017,475,120,699,485,786,399,574,178,046,095,397,327,296,634,724,154,
401,920,039,331,646,083,831,064,567,392,710,007,077,487,507,770,584,870,753,
134,585,344,450,602,239,303,593,960,023,335,312,402,036,540,345,766,368,338,
525,574,841,262,244,376,026,993,710,523,079,029,261,022,893,827,602,592,477,
275,325,811,441,328,618,454,432,109,090,291,654,824,834,929,762,176,920,895,
583,586,944,822,564,440,797,125,546,517,219,342,036,162,221,019,567,284,827,
594,322,915,388,619,646,883,973,259,849,248,005,551,165,309,768,320,219,245,
247,291,870,833,716,555,871,416,864,859,929,221,323,460,021,266,330,405,199,
443,285,394,719,220,606,038,098,210,125,338,979,265,917,323,181,768,628,874,
625,908,550,334,742,615,941,506,854,955,803,349,652,758,251,892,737,289,760,
177,966,525,094,088,635,526,148,150,966,389,127,172,031,169,364,898,565,567,
132,413,178,860,103,508,709,182,120,158,805,291,980,129,486,134,215,462,923,
675,389,940,095,361,835,991,829,362,840,913,435,663,048,889,487,274,481,150,
340,874,877,723,124,436,225,745,512,162,589,392,768,654,315,064,650,401,712,
689,686,710,177,718,307,400,388,350,709,360,069,184,759,714,443,640,924,346,
285,670,451,322,551,838,254,600,488,899,641,034,650,885,235,180,211,178,871,
328,565,896,150,185,559,003,205,228,095,849,803,010,272,393,211,548,383,398,
731,265,957,279,614,596,965,791,600,802,116,136,997,713,542,591,705,257,778,
741,920,221,890,146,117,450,416,506,995,659,343,476,977,075,854,240,527,570,
271,910,345,345,362,947,208,584,981,644,365,475,720,250,766,151,825,343,369,
375,606,877,712,046,093,046,381,343,550,223,155,320,757,294,819,571,210,998,
734,580,435,107,241,172,180,738,227,924,405,813,440,142,996,204,773,567,494,
535,213,339,784,608,501,643,804,447,589,572,500,593,303,659,132,377,150,630,
577,041,322,031,783,439,440,065,856,029,550,085,954,116,588,819,577,366,654,
968,957,754,742,806,378,254,803,906,656,465,495,143,011,862,191,818,683,554,
173,692,742,068,730,019,036,109,602,911,716,347,639,213,053,625,887,575,035,
262,707,642,611,141,235,874,114,622,090,704,725,476,124,617,987,492,841,660,
469,106,736,132,474,999,072,480,160,608,927,724,041,033,475,768,021,634,302,
589,379,318,992,744,377,779,051,629,564,369,193,931,608,972,775,255,242,843,
187,770,640,491,011,200,164,939,953,250,527,422,139,124,197,293,357,907,659,
830,953,028,987,042,288,762,446,718,111,509,761,843,585,389,702,774,679,677,
595,676,699,315,419,342,658,031,973,216,686,774,886,974,442,192,265,623,064,
315,092,446,682,974,330,334,735,905,035,511,214,709,224,183,946,269,351,916,
224,892,960,127,381,427,769,624,160,190,719,095,591,561,476,847,894,229,661,
191,570,105,478,339,500,147,822,121,535,957,298,193,556,920,365,215,723,572,
781,438,344,404,163,934,598,788,583,317,505,958,267,096,267,258,304,287,604,
264,120,343,164,316,038,928,565,055,039,452,984,410,448,582,661,382,307,522,
717,051,473,230,530,560,708,704,914,534,760,789,350,692,683,968,032,984,742,
939,140,281,933,918,820,249,446,144,398,270,222,204,557,416,419,199,888,307,
541,484,177,548,795,549,763,204,472,827,382,939,790,083,922,412,800,731,700,
144,433,691,434,131,648,270,425,959,598,974,120,659,413,460,728,687,145,602,
873,957,473,444,505,617,560,359,886,555,425,422,114,822,168,043,598,939,117,
152,071,654,830,131,746,497,730,439,630,362,477,525,093,169,677,262,344,772,
926,982,333,384,315,029,189,984,062,752,264,062,345,432,159,918,030,020,887,
192,512,455,361,599,334,865,024,513,594,504,608,297,994,060,279,466,005,227,
003,262,534,811,043,252,148,264,242,371,980,318,647,274,018,859,062,764,876,
440,935,037,560,987,818,055,806,124,504,119,334,722,476,776,025,154,795,817,
580,755,934,599,457,308,736,509,978,216,146,412,817,975,071,993,724,116,691,
539,707,338,645,340,791,038,884,313,100,310,339,514,848,048,175,519,743,450,
767,352,496,993,177,297,456,936,631,415,270,453,777,753,603,808,329,309,387,
591,406,629,545,909,824,439,488,713,542,340,807,675,447,677,837,709,096,411,
372,026,079,295,589,850,737,315,325,828,466,890,180,712,506,987,270,373,547,
233,920,130,180,011,751,004,512,235,339,374,677,565,772,274,633,061,265,871,
052,418,731,397,842,466,414,801,479,427,921,672,689,231,197,239,910,004,394,
729,314,748,358,391,288,916,498,866,612,874,429,676,748,352,788,770,962,023,
351,749,423,867,300,946,131,839,925,865,756,864,154,319,492,126,312,512,870,
975,013,124,259,059,517,081,755,279,858,100,829,534,406,794,494,488,794,293,
500,329,214,304,240,515,591,138,740,859,172,936,448,746,559,666,964,008,683,
186,338,209,801,587,339,235,486,464,586,113,442,496,958,656,076,730,882,965,
509,552,543,713,691,338,281,302,646,242,464,201,301,523,227,551,258,927,857,
673,194,132,624,379,165,845,996,757,073,180,311,675,641,720,472,647,934,269,
395,252,192,029,033,802,413,813,147,570,793,317,910,387,583,840,883,851,849,
803,225,821,552,433,615,059,294,705,689,927,600,251,587,997,744,923,716,833,
070,198,208,264,876,901,506,416,643,682,096,777,556,967,232,306,265,731,123,
981,490,519,694,192,129,819,611,761,797,671,818,212,524,195,176,553,708,048,
675,079,978,207,619,601,430,032,316,155,208,578,580,285,720,646,348,397,170,
232,279,996,431,624,779,325,510,253,308,930,109,986,367,861,683,758,967,947,
005,613,247,263,210,778,103,394,075,808,503,801,246,243,071,470,046,199,603,
855,592,738,702,051,906,357,502,920,774,663,619,139,782,703,535,973,905,678,
152,463,804,367,159,311,294,623,706,839,551,449,118,501,458,739,556,084,494,
128,144,812,308,744,603,470,347,524,005,748,432,775,746,155,867,198,562,389,
618,284,328,782,465,308,126,242,650,196,398,867,125,783,243,150,491,752,314,
977,062,828,035,369,524,780,417,611,439,899,090,025,159,041,271,031,112,196,
230,751,259,700,799,870,702,937,738,651,174,645,506,608,606,602,927,159,961,
743,281,220,368,793,943,374,101,701,377,935,786,281,486,751,712,866,818,139,
980,816,864,758,591,121,802,437,892,400,934,125,816,965,856,093,268,543,187,
146,244,482,089,439,942,923,229,920,688,835,891,903,796,663,572,720,133,538,
546,568,731,927,001,475,027,649,548,447,701,101,466,761,549,357,179,935,871,
515,114,440,286,894,975,154,955,139,352,029,664,734,305,077,387,754,830,478,
866,885,712,774,513,320,073,236,017,388,061,869,682,405,632,445,399,100,937,
319,569,304,336,533,770,947,912,134,416,719,983,424,991,834,347,610,788,261,
597,699,139,450,169,808,465,686,510,344,255,273,217,684,749,406,837,525,681,
685,528,355,118,154,619,735,397,160,020,399,727,310,873,750,785,154,216,937,
383,680,021,511,250,797,116,133,766,104,830,744,220,543,288,897,833,152,143,
580,694,349,425,277,833,456,304,389,037,823,585,281,077,365,339,187,215,083,
069,976,004,406,751,251,608,174,014,610,619,483,773,352,427,810,028,679,318,
160,880,187,879,949,851,316,603,195,071,148,914,479,140,530,849,734,873,842,
937,686,938,289,154,781,251,850,389,433,216,844,422,213,028,314,938,110,140,
461,931,770,730,258,840,938,222,099,073,414,847,967,140,062,590,137,299,275,
991,421,338,384,087,054,406,477,594,773,062,905,879,193,165,170,831,963,573,
449,573,726,643,635,267,911,819,670,117,649,932,890,253,615,691,329,234,260,
629,174,335,612,332,709,889,643,312,948,560,559,099,130,684,169,115,969,139,
747,963,715,311,531,151,352,738,210,789,089,094,920,952,107,019,421,259,656,
256,059,050,242,250,899,619,562,413,989,167,384,310,954,261,157,383,078,785,
550,316,211,805,218,180,666,322,683,574,364,220,187,094,326,258,245,564,848,
293,392,598,156,319,232,890,696,616,827,057,599,458,094,698,775,818,632,168,
661,131,085,228,756,186,490,331,504,971,656,801,290,340,017,741,812,166,488,
545,285,810,329,013,658,906,685,596,117,606,057,528,647,284,734,042,244,211,
767,418,611,942,969,194,917,828,292,857,750,813,531,911,594,180,428,588,677,
021,797,291,183,032,008,798,308,522,656,641,377,675,989,114,127,079,140,379,
512,113,188,820,356,621,133,816,479,649,743,835,887,230,723,870,276,178,922,
424,316,627,222,306,102,070,667,012,567,406,478,917,020,644,360,508,902,094,
484,723,550,954,758,363,971,757,915,322,615,687,455,022,436,065,576,411,193,
846,523,439,331,379,122,708,490,836,593,963,794,910,643,286,048,755,941,921,
968,070,078,673,115,757,604,802,046,914,725,229,674,799,231,112,658,817,217,
576,862,935,520,908,870,049,926,204,318,770,696,394,195,247,336,983,070,591,
731,796,011,306,014,080,155,371,355,288,557,816,088,616,994,423,105,454,802,
745,494,626,059,013,444,223,981,249,793,998,665,403,402,302,751,346,482,729,
339,192,299,207,963,575,712,080,564,346,506,042,354,642,387,252,883,507,554,
542,090,903,546,836,619,400,578,031,647,098,049,573,913,623,798,571,974,651,
567,549,673,193,105,314,611,009,331,967,491,677,009,889,704,040,475,548,672,
034,394,167,926,568,150,679,215,097,019,810,220,568,765,994,519,166,618,184,
279,216,252,432,140,692,140,469,589,553,511,304,133,640,936,140,735,264,262,
980,596,934,554,115,737,281,032,796,442,441,730,789,871,416,025,860,344,669,
708,560,808,460,706,453,398,011,797,328,037,613,425,496,959,990,189,066,118,
670,766,439,137,021,244,858,669,951,424,716,252,633,703,790,806,936,552,091,
793,529,694,743,294,146,474,340,080,667,325,389,061,396,938,846,084,493,844,
265,969,178,365,220,348,974,711,525,926,452,926,053,468,991,198,387,055,630,
924,486,764,914,244,066,262,106,587,693,256,129,185,699,974,896,296,435,784,
938,301,881,629,185,301,268,367,354,421,540,195,743,150,908,830,582,537,673,
351,951,884,904,378,239,239,598,629,977,350,751,612,583,902,271,717,106,334,
411,756,081,986,531,500,370,296,698,658,921,668,528,236,593,290,140,069,506,
665,100,044,973,441,823,545,913,069,816,259,838,829,914,530,927,062,383,428,
290,040,417,578,665,340,027,762,078,064,577,252,079,271,875,398,302,306,244,
480,600,183,287,147,498,065,945,353,460,184,362,009,236,579,407,323,850,983,
709,728,632,359,158,772,971,406,522,658,101,325,783,911,781,407,843,049,148,
984,109,604,777,345,880,200,688,717,189,719,258,138,685,481,933,851,357,832,
840,989,121,029,023,895,510,204,340,134,245,353,262,912,753,689,981,899,404,
459,105,067,936,029,806,514,064,884,787,379,283,574,334,721,702,378,889,580,
320,063,639,945,762,374,395,776,139,929,866,111,794,884,702,931,704,759,835,
000,268,731,343,807,543,548,121,779,656,978,886,987,935,560,910,141,512,888,
787,838,872,939,850,465,094,427,511,326,710,631,963,601,016,974,821,037,128,
392,196,044,319,551,501,260,952,343,984,106,685,929,355,522,669,229,657,610,
657,633,109,863,721,478,386,065,267,064,907,124,337,886,209,904,415,808,057,
722,466,828,370,352,826,901,884,883,509,841,790,454,746,664,638,266,848,482,
680,060,368,470,887,983,825,095,000,273,768,494,709,936,289,174,849,604,423,
150,191,720,485,774,801,587,710,684,283,760,129,554,783,142,647,375,935,109,
757,505,529,567,890,520,040,084,133,170,917,510,330,524,384,148,755,222,163,
891,899,705,761,141,231,702,650,639,546,486,443,550,746,761,208,037,550,338,
761,198,694,102,517,438,846,902,115,634,747,011,222,006,972,156,197,184,675,
879,525,397,179,617,262,308,456,101,279,603,589,048,196,840,563,339,097,081,
278,306,361,463,381,657,390,575,725,421,730,279,744,244,620,505,042,401,118,
240,268,084,883,766,300,039,616,433,759,130,427,516,289,102,992,874,183,916,
839,702,979,812,349,416,014,545,281,516,643,755,612,257,813,227,259,284,875,
457,496,553,220,032,678,128,443,164,582,316,858,199,396,690,191,858,307,363,
418,967,741,192,357,871,286,464,487,797,646,789,653,968,160,162,060,553,478,
513,415,452,868,554,972,735,402,301,942,453,515,827,769,206,538,779,092,207,
201,484,685,391,874,890,086,567,680,936,677,759,403,565,257,811,973,342,671,
941,749,504,482,641,219,889,122,277,164,884,010,013,532,012,029,292,459,105,
997,774,445,645,381,585,093,519,903,925,941,146,828,159,039,363,091,890,058,
381,876,652,936,604,330,178,722,010,942,579,637,372,242,559,740,433,631,712,
960,432,243,152,726,415,609,665,337,309,034,905,272,598,066,866,642,414,673,
316,780,420,352,769,838,689,841,208,830,946,146,767,928,666,552,587,449,759,
871,317,672,036,856,728,033,823,342,305,988,744,250,100,063,172,066,685,699,
080,793,785,330,288,638,331,300,628,895,017,839,013,982,842,166,455,369,630,
177,866,572,968,642,579,970,782,912,072,672,582,427,346,952,041,538,210,694,
098,766,095,335,428,645,678,708,128,321,837,300,860,461,639,649,059,506,944,
775,857,762,261,435,577,919,595,101,320,244,834,773,732,200,533,738,227,913,
665,771,255,602,234,569,915,759,649,430,631,923,659,006,226,693,052,661,316,
004,903,834,123,619,693,316,973,451,486,536,095,743,087,965,463,427,151,348,
313,906,970,603,175,530,208,487,755,107,890,159,771,058,206,784,221,703,196,
255,352,679,262,480,202,552,170,388,320,621,497,370,717,763,686,176,547,025,
627,411,289,092,422,033,903,399,207,985,737,060,473,389,774,257,505,171,627,
222,024,572,403,076,910,899,645,474,111,986,490,888,587,349,681,582,127,674,
142,168,502,759,936,735,048,141,239,222,228,392,797,982,525,052,591,376,737,
548,637,982,423,337,379,638,963,429,588,068,054,585,786,004,485,929,352,524,
505,974,551,404,831,573,108,694,171,504,646,892,028,661,010,045,942,384,111,
609,140,754,234,678,326,919,600,605,050,525,254,594,840,351,557,457,598,771,
207,423,223,002,385,488,796,698,610,256,855,311,206,664,045,045,671,351,268,
780,125,693,299,339,943,028,476,268,821,858,435,655,753,296,281,901,324,735,
503,440,599,756,204,855,133,093,376,112,370,100,233,304,878,041,238,327,487,
304,718,521,706,981,820,198,017,055,522,360,917,474,480,590,318,089,361,800,
855,755,666,721,364,340,266,468,013,164,941,256,078,058,692,199,641,872,080,
345,296,363,905,956,628,309,018,043,343,561,792,917,113,023,898,726,677,184,
374,018,373,806,127,714,289,556,186,526,694,158,351,573,955,873,590,093,579,
363,724,490,050,362,290,729,686,626,468,058,080,279,771,750,764,633,698,234,
975,156,479,984,449,602,726,008,843,916,533,985,751,144,796,667,203,216,528,
249,824,181,940,733,289,611,945,902,196,709,118,398,056,099,826,629,741,920,
616,786,898,053,903,104,474,475,583,803,958,720,155,791,480,364,207,095,582,
790,535,024,217,756,404,872,906,854,225,271,634,726,088,447,466,974,207,489,
825,130,226,067,558,097,070,549,676,737,893,050,131,098,583,264,803,588,675,
092,760,793,362,012,287,703,530,541,103,640,042,695,195,386,711,465,235,694,
013,963,425,807,624,047,159,316,412,848,083,703,369,193,076,514,696,574,380,
724,225,154,044,903,116,948,256,119,117,224,068,290,168,629,008,154,718,922,
154,612,677,936,264,620,329,928,274,986,907,813,896,756,451,567,659,617,689,
921,880,283,300,394,067,568,809,002,926,753,765,739,988,043,586,262,823,541,
774,858,149,757,236,670,095,254,100,651,762,716,447,350,594,344,466,940,924,
531,106,479,608,637,988,180,196,096,534,324,548,864,963,685,224,304,363,956,
112,112,943,025,526,981,090,866,227,304,158,782,743,746,180,910,278,160,787,
720,633,645,565,718,682,364,068,425,648,871,994,184,968,504,620,510,254,960,
582,722,646,637,419,783,286,989,999,433,608,891,813,451,616,366,258,934,661,
958,891,721,166,477,782,911,034,464,305,530,248,150,452,783,559,992,666,082,
020,710,823,023,255,554,563,009,828,183,338,121,128,937,525,980,318,849,323,
525,257,814,278,883,963,589,152,027,660,838,342,390,621,976,311,132,814,431,
082,530,524,745,190,638,832,486,654,206,426,639,165,785,968,727,661,612,595,
769,442,443,844,762,057,125,679,068,311,601,583,490,104,261,145,203,528,459,
240,046,284,416,289,157,097,129,137,341,405,436,762,293,867,931,357,140,662,
604,032,018,054,675,857,333,928,957,347,644,468,635,910,960,212,497,891,473,
261,744,312,587,541,936,064,386,686,968,209,124,630,071,739,751,712,003,190,
430,015,047,919,216,630,375,453,758,453,038,435,682,698,229,167,629,177,269,
489,783,372,969,820,518,296,308,741,828,088,802,243,413,071,434,741,961,945,
605,389,271,837,955,344,679,101,483,149,769,919,154,531,451,736,473,722,824,
668,737,701,731,814,890,566,700,967,292,292,538,316,808,541,083,483,050,333,
284,410,155,707,293,732,236,255,133,014,927,335,376,093,321,237,369,185,759,
198,333,795,353,295,723,185,177,540,165,563,574,932,030,998,810,661,035,332,
664,224,340,307,496,203,735,012,634,618,828,071,990,934,586,978,130,771,760,
406,732,790,280,402,487,503,046,697,903,106,650,391,601,700,749,371,612,470,
562,223,359,255,885,681,263,197,826,043,199,687,890,641,544,048,365,221,866,
529,613,297,533,290,260,945,316,879,929,876,815,060,112,405,829,140,341,233,
876,484,531,314,882,784,502,156,861,633,766,714,205,823,663,846,754,284,056,
938,582,191,167,018,563,781,293,197,277,932,734,819,546,571,359,765,616,122,
522,509,630,261,869,989,835,672,633,666,420,053,461,668,984,906,651,074,038,
619,322,050,207,521,616,955,722,782,634,260,267,340,280,198,037,195,713,508,
481,397,367,963,205,321,795,647,319,344,404,056,318,610,399,725,929,502,012,
793,874,042,075,884,958,128,999,990,538,469,146,582,809,493,616,766,503,427,
058,454,117,910,010,576,336,866,825,640,712,417,438,471,853,711,026,920,103,
544,300,593,030,282,416,658,370,243,551,704,210,921,272,874,983,190,803,755,
818,888,392,094,639,917,086,620,396,885,888,023,159,751,914,827,778,706,518,
391,247,259,681,317,156,577,734,205,409,236,675,502,060,904,908,089,000,812,
944,458,905,602,111,399,046,306,461,278,104,341,281,303,917,593,975,401,768,
902,306,947,714,789,671,347,048,321,527,264,181,461,065,048,817,527,187,332,
885,077,596,179,032,405,353,268,361,152,489,740,805,251,527,961,701,571,075,
707,242,215,472,184,558,258,360,959,137,550,666,715,164,407,289,069,691,220,
844,934,289,838,063,216,534,509,257,885,798,013,524,569,245,170,627,946,876,
334,312,363,992,956,693,082,025,946,126,982,558,462,103,269,441,508,730,979,
325,026,040,976,425,443,700,289,315,506,586,366,255,276,260,930,698,118,557,
837,172,765,443,508,164,214,357,871,034,728,032,856,685,275,773,153,200,834,
066,738,228,843,305,896,662,102,405,993,730,083,233,225,026,939,145,300,284,
721,518,829,441,038,425,229,665,175,912,174,871,699,915,769,007,763,333,805,
052,204,522,307,262,280,855,960,231,517,426,899,150,678,500,274,052,222,504,
786,018,804,028,891,500,975,590,349,802,719,048,116,658,650,822,034,691,056,
131,479,992,669,168,889,192,895,495,671,101,689,577,774,496,480,364,241,974,
581,691,521,620,835,813,725,433,139,712,896,611,347,517,817,399,769,441,783,
559,553,610,450,111,362,841,516,142,068,701,899,333,237,602,279,421,358,228,
072,549,308,077,611,485,556,849,361,016,685,668,053,610,128,004,644,299,725,
849,131,356,645,431,980,285,624,661,935,281,178,854,225,839,294,512,202,997,
682,225,586,637,585,340,711,539,833,610,761,989,721,696,771,824,341,578,952,
983,796,173,210,409,897,191,793,925,014,951,161,602,497,186,253,333,720,015,
846,881,961,003,260,894,571,370,059,296,300,810,004,142,403,499,311,769,696,
713,850,775,718,840,276,498,625,021,895,455,767,698,722,007,577,710,156,554,
644,884,019,416,208,767,234,005,459,938,867,550,270,712,135,640,375,669,770,
521,972,168,357,070,020,201,914,855,894,430,945,174,010,348,438,235,248,426,
740,836,277,651,221,159,373,537,032,972,047,813,901,153,620,446,463,815,062,
257,260,036,287,841,601,090,102,367,125,144,584,787,103,038,647,039,777,757,
261,930,406,509,195,392,253,056,536,827,187,224,559,425,023,086,234,146,694,
560,436,641,127,768,492,884,173,803,803,165,702,169,651,877,971,372,448,267,
635,078,041,961,325,164,478,849,678,189,757,604,896,214,134,377,682,178,565,
196,060,255,753,974,338,922,310,358,829,589,920,902,911,276,474,738,926,923,
064,216,114,092,950,644,350,566,417,586,096,532,591,296,093,185,608,910,194,
241,556,340,917,321,976,993,962,375,570,064,618,345,923,889,071,225,812,949,
569,138,563,517,038,748,158,104,705,728,609,056,329,120,686,178,859,529,998,
847,575,499,953,323,575,667,556,790,190,224,669,278,489,558,750,172,865,116,
566,572,392,082,580,784,035,704,720,677,890,895,253,800,710,377,932,867,115,
218,115,198,697,852,144,070,154,589,409,853,497,674,948,655,407,841,358,259,
600,311,411,479,510,832,309,467,578,527,446,998,981,906,224,937,767,870,136,
486,442,647,363,232,714,095,456,017,445,919,080,841,481,553,796,409,537,609,
923,644,248,112,336,589,232,144,178,077,571,691,637,165,882,647,973,490,259,
054,366,249,677,759,118,120,297,567,917,321,768,893,769,316,487,344,346,296,
715,254,620,872,772,364,988,111,028,139,345,193,536,055,236,359,549,324,442,
946,322,655,229,214,074,790,270,158,393,946,883,719,982,236,060,322,603,997,
562,451,464,946,729,403,230,295,630,391,985,040,178,444,398,607,457,784,443,
423,271,555,484,384,347,491,737,339,580,271,907,974,598,394,109,480,651,885,
238,372,872,403,736,833,883,845,059,332,334,976,860,512,724,161,995,223,845,
168,660,139,737,424,940,711,690,391,722,343,098,741,851,286,713,022,882,313,
042,007,196,674,030,798,623,564,210,699,656,403,371,297,403,323,557,716,693,
627,540,400,527,564,558,052,151,479,776,780,581,692,714,712,335,968,957,165,
685,020,943,753,630,805,242,764,644,069,147,970,385,125,483,748,983,677,654,
652,547,996,935,085,904,172,040,210,702,725,407,521,205,156,853,901,875,426,
282,136,334,611,773,445,867,721,850,297,910,814,612,835,671,332,093,745,664,
599,252,026,190,135,897,537,793,977,540,284,559,012,810,956,253,212,306,181,
955,824,474,210,919,948,842,339,025,535,797,100,249,192,805,288,503,383,093,
992,485,163,907,383,861,278,557,244,173,598,116,004,920,009,076,436,234,949,
398,322,610,409,155,497,647,928,372,021,392,640,669,513,756,478,953,596,724,
840,424,174,838,782,082,826,833,982,622,399,317,498,895,101,406,129,798,192,
091,198,421,752,063,442,679,925,862,644,120,060,880,729,546,667,431,898,233,
939,917,024,527,328,098,699,787,896,428,518,939,265,977,961,261,419,133,316,
006,185,192,338,276,685,341,644,722,442,175,746,794,464,862,800,467,741,697,
255,615,372,714,704,329,746,535,468,449,327,553,355,801,154,332,813,927,985,
077,136,681,481,779,656,564,539,664,267,023,985,245,986,695,693,143,306,433,
398,067,217,350,878,604,623,007,300,790,720,780,176,119,165,855,039,587,303,
060,641,949,283,446,298,617,610,307,576,074,663,776,792,716,483,281,764,276,
915,438,724,283,073,806,048,316,034,140,883,566,208,249,234,532,536,642,214,
503,115,189,505,236,413,289,692,171,349,692,338,756,951,175,430,040,330,887,
831,758,884,513,233,102,238,015,517,878,573,647,992,948,779,571,922,443,453,
795,651,727,950,371,517,692,485,028,039,642,058,057,850,614,026,464,603,128,
577,426,383,686,970,324,414,564,341,875,677,591,639,143,718,598,687,007,814,
584,191,364,930,442,416,044,990,016,728,094,989,095,061,737,736,084,199,121,
935,192,350,687,043,740,155,421,378,899,033,588,798,234,860,218,794,107,696,
272,613,476,920,387,425,265,147,829,827,921,166,935,464,206,863,319,828,999,
861,775,686,618,066,416,457,395,400,816,265,351,100,712,944,233,796,989,550,
380,249,742,980,337,774,109,605,279,324,898,845,265,804,285,613,549,902,631,
486,406,217,622,834,393,158,650,810,860,502,801,941,981,476,211,085,461,647,
335,933,886,354,386,954,932,559,223,207,740,547,519,785,076,649,561,634,547,
306,412,621,953,569,575,703,321,043,281,397,266,803,380,661,879,310,156,431,
284,358,712,142,809,639,352,807,402,851,411,900,017,228,486,846,299,402,430,
181,980,131,832,465,396,376,301,007,525,121,442,378,480,049,932,003,440,250,
343,775,886,321,898,571,215,527,368,804,412,739,997,819,924,213,961,509,477,
391,284,240,751,819,862,022,255,296,747,916,656,691,731,859,888,791,497,615,
540,478,438,202,250,905,606,370,758,809,834,995,703,715,846,270,511,276,576,
033,147,671,444,004,791,881,644,376,611,323,792,385,923,434,935,850,137,941,
581,766,237,648,917,945,524,319,365,883,254,404,278,956,345,076,639,372,234,
449,721,392,122,062,990,343,515,580,477,484,274,629,091,232,611,612,755,331,
573,131,581,846,393,941,981,932,251,967,494,344,878,815,275,742,866,423,973,
659,291,401,406,685,970,037,521,821,773,006,517,791,820,726,881,946,417,288,
426,430,565,553,595,739,827,945,968,925,228,511,713,107,503,751,302,066,678,
258,547,259,748,582,183,288,937,917,119,000,096,176,227,181,859,376,969,719,
904,465,508,111,643,089,508,658,932,178,913,580,339,429,712,263,705,925,654,
231,112,465,856,908,862,896,418,108,931,119,853,081,728,785,221,204,413,634,
944,823,190,832,157,979,135,565,266,214,836,910,252,989,509,803,923,976,677,
821,851,649,879,334,161,017,841,639,342,225,666,558,135,728,382,911,392,899,
779,903,470,944,785,073,398,817,063,324,513,026,621,044,208,013,173,190,593,
223,321,051,777,147,988,371,522,850,222,238,466,110,874,087,046,433,848,704,
871,012,624,539,075,645,414,951,108,549,796,345,127,861,929,891,535,144,323,
970,439,446,706,500,433,688,191,508,480,117,019,974,189,043,423,076,988,428,
835,831,320,146,661,439,215,469,142,201,419,927,152,948,995,137,242,950,634,
849,250,078,783,993,591,870,666,063,830,407,061,913,343,267,085,219,891,863,
486,471,778,842,891,956,260,271,771,149,655,014,475,156,073,922,408,951,388,
425,262,446,356,224,236,896,945,426,514,792,529,705,374,055,839,690,519,080,
149,708,468,804,541,649,096,682,660,595,247,426,827,594,104,218,473,685,578,
105,166,855,142,478,052,127,541,627,783,903,522,942,106,771,710,338,089,651,
274,919,652,250,128,086,969,265,474,733,827,430,901,721,758,819,261,093,667,
919,723,041,093,840,389,879,207,478,936,028,195,390,789,429,757,120,889,571,
834,811,432,746,541,208,008,760,301,085,265,532,020,281,021,395,477,949,656,
069,102,085,199,361,711,830,519,067,993,574,787,152,215,359,479,579,546,866,
247,940,990,733,650,549,956,778,982,932,172,478,785,743,303,021,498,855,283,
215,204,702,263,282,913,945,504,440,303,398,432,803,589,235,390,115,862,349,
400,745,632,171,330,540,513,861,799,086,216,697,375,963,964,839,653,224,854,
799,028,525,620,051,795,623,050,897,745,363,559,651,014,063,148,979,744,731,
928,942,028,075,682,912,727,750,429,787,728,436,291,878,380,961,990,531,905,
362,267,841,545,831,818,835,741,324,033,543,440,822,755,096,951,038,948,506,
796,235,826,987,970,698,872,276,588,652,802,215,626,665,632,741,412,572,740,
245,155,896,152,826,401,602,426,807,188,608,871,313,027,372,236,774,859,869,
998,431,964,210,540,072,787,073,936,498,367,413,201,524,471,835,709,455,965,
171,347,950,943,670,566,274,455,512,431,290,759,460,765,258,800,668,994,754,
968,207,041,125,108,651,442,855,069,564,383,240,326,846,039,228,252,878,828,
457,766,086,122,764,305,658,540,535,208,330,496,249,910,882,957,415,030,148,
146,916,006,444,573,289,300,309,753,142,627,749,531,874,207,956,511,120,309,
306,482,631,837,468,614,998,913,243,715,765,270,374,744,981,205,188,174,215,
795,015,474,532,983,718,215,409,164,711,911,372,610,442,525,235,177,082,130,
609,785,891,703,293,187,167,198,803,333,484,616,995,756,925,858,911,648,866,
829,202,728,605,687,295,339,576,140,714,354,466,159,389,642,302,266,058,373,
668,046,475,557,082,489,370,812,598,704,053,020,477,171,647,601,362,776,218,
719,494,827,216,254,767,909,116,822,161,633,836,512,763,421,384,859,702,575,
851,873,630,278,122,283,112,390,522,762,824,466,010,765,980,968,664,445,728,
982,082,334,732,207,390,704,777,494,328,815,843,128,164,109,742,906,808,420,
399,346,724,053,719,331,112,100,151,945,378,953,900,501,737,200,291,246,469,
974,505,302,406,800,692,800,092,614,381,830,605,811,034,119,193,089,399,351,
042,681,986,641,845,348,459,756,000,339,406,396,075,612,008,543,921,629,052,
446,503,485,341,253,822,281,813,854,608,945,245,999,954,282,799,358,672,618,
070,994,827,447,635,635,870,145,099,124,394,506,965,168,158,499,070,035,362,
367,907,492,967,391,692,232,261,386,649,025,639,575,190,777,325,291,540,501,
324,885,683,339,275,050,668,465,157,679,848,014,518,737,390,748,120,075,957,
973,409,414,387,993,604,280,308,709,804,916,312,693,098,095,283,903,672,867,
902,263,958,968,205,505,132,735,504,095,438,440,051,289,685,641,142,867,807,
053,524,194,049,118,348,319,174,816,607,373,493,843,886,160,017,323,053,739,
436,276,224,918,623,067,091,540,154,954,664,962,871,887,122,816,658,015,850,
302,580,422,671,046,601,640,729,475,865,669,255,490,065,859,391,395,745,905,
853,357,801,670,943,739,466,629,387,526,818,752,845,128,990,318,777,530,824,
945,784,066,695,418,112,250,792,196,684,850,517,359,113,083,463,536,758,207,
639,114,628,704,914,689,880,885,929,895,571,809,467,087,589,326,346,786,058,
453,149,790,568,846,919,358,455,754,089,917,467,685,837,846,273,766,049,800,
871,865,510,506,297,406,096,435,943,306,713,533,190,393,412,113,235,090,182,
359,239,825,967,646,342,090,971,219,343,728,738,526,050,944,284,798,739,976,
987,319,241,575,140,612,742,944,772,341,750,669,688,379,997,323,342,848,712,
793,572,170,712,029,750,333,866,195,774,543,418,540,898,582,670,093,034,205,
701,469,170,583,912,508,647,199,426,346,348,907,684,267,097,420,073,195,635,
750,497,756,241,713,834,215,959,230,299,215,300,734,109,157,908,134,659,586,
185,830,758,497,856,747,161,640,754,964,768,623,119,212,767,654,983,962,229,
824,067,298,748,783,494,585,860,161,463,994,676,641,781,975,894,829,362,762,
798,489,084,598,062,830,739,167,213,326,631,607,642,686,161,156,298,494,064,
731,189,404,880,541,241,406,048,717,407,052,543,765,828,072,611,265,765,828,
977,020,196,576,630,294,757,549,847,865,490,855,394,186,637,264,758,036,410,
047,649,247,024,905,119,953,328,425,238,240,293,256,093,626,818,178,759,055,
892,258,209,505,420,439,132,264,676,383,074,712,074,336,784,696,258,973,808,
798,130,029,613,207,062,466,292,117,640,880,967,065,493,533,470,088,689,800,
517,361,072,163,210,023,747,344,907,465,797,572,428,727,959,357,350,151,189,
548,391,109,790,784,443,953,661,551,411,839,516,717,724,782,028,997,007,069,
773,574,304,099,770,348,308,217,519,550,922,916,316,680,578,914,883,739,865,
899,726,994,550,580,480,105,467,814,817,469,128,694,206,668,525,573,670,914,
673,285,600,345,910,248,817,006,554,988,528,162,107,806,358,156,495,313,405,
066,002,883,779,924,925,817,755,657,590,696,281,618,348,426,334,089,380,983,
730,254,960,049,471,609,513,239,259,729,698,568,105,973,005,233,818,091,962,
171,418,050,177,058,256,754,956,868,875,649,526,707,728,895,504,156,199,618,
773,267,250,386,743,733,575,975,889,334,204,677,403,865,834,612,019,259,514,
370,432,069,107,657,699,115,140,205,620,537,652,753,494,635,530,415,564,248,
868,702,704,861,719,993,070,120,286,025,951,110,914,377,152,859,242,399,565,
205,964,062,980,119,363,531,706,016,975,291,018,314,118,256,672,771,762,710,
632,212,524,978,607,935,138,551,389,647,727,025,675,487,112,076,182,580,772,
237,340,696,851,481,693,284,629,295,857,724,297,888,518,203,857,022,792,581,
017,204,688,013,973,687,179,831,771,860,455,439,709,041,204,940,278,475,826,
154,124,925,558,021,053,302,197,354,637,384,505,091,773,064,264,096,392,777,
273,508,518,534,881,755,127,155,097,422,704,838,957,686,182,829,382,305,289,
605,397,095,240,805,083,310,963,120,993,325,410,190,339,345,723,051,710,871,
670,186,526,841,538,192,525,504,074,184,810,548,503,840,730,807,303,852,285,
033,518,900,800,170,964,759,489,532,327,259,645,621,657,940,973,601,227,787,
712,813,943,334,699,410,946,237,269,997,745,457,683,816,228,020,855,607,772,
242,338,898,414,673,041,188,891,955,921,185,993,286,204,492,321,892,827,826,
939,874,582,680,738,668,556,109,256,861,845,898,704,006,562,979,650,021,716,
132,644,164,958,442,657,410,406,964,012,432,018,772,632,627,187,062,592,672,
836,147,999,632,737,771,136,540,048,875,878,781,432,486,456,584,130,609,609,
818,694,012,214,559,293,359,832,610,390,864,689,566,482,425,264,265,523,696,
253,930,483,061,129,415,853,686,289,063,160,193,874,043,899,463,066,831,018,
280,435,837,047,691,020,561,181,525,973,458,492,876,313,832,589,979,549,666,
881,179,776,883,342,803,618,314,826,735,288,267,619,502,975,958,374,333,121,
872,442,769,218,892,926,241,578,309,256,074,158,842,796,557,538,437,210,919,
093,008,863,133,213,748,762,828,000,641,991,819,175,663,092,212,815,094,885,
565,107,363,278,885,529,919,741,973,493,384,448,442,180,293,724,376,797,658,
624,718,379,101,549,430,823,062,115,421,415,513,998,015,410,942,582,330,324,
131,745,152,019,483,358,580,113,225,891,888,313,022,459,125,192,484,048,066,
662,621,285,478,314,757,355,831,597,980,324,608,859,141,221,649,433,015,453,
361,223,021,053,419,190,276,974,154,516,353,117,994,494,652,949,527,152,325,
972,603,628,229,197,501,557,782,454,930,553,076,530,505,860,937,072,261,926,
065,436,077,626,642,734,192,096,743,824,149,263,075,357,100,578,979,160,981,
121,155,218,722,103,516,533,351,549,571,498,228,763,993,399,220,497,275,117,
606,187,887,525,209,928,941,492,530,409,015,161,914,179,267,269,737,397,250,
288,220,211,842,985,718,303,523,636,451,366,668,423,290,953,774,431,058,765,
727,097,830,734,004,624,770,946,278,034,379,861,677,451,686,198,770,277,620,
116,878,032,625,723,519,271,972,186,502,507,064,689,597,165,066,320,585,931,
494,854,601,640,669,048,879,697,682,423,868,338,620,865,703,232,313,725,076,
102,923,481,825,944,320,194,346,809,466,357,252,583,735,907,508,826,601,382,
848,843,428,727,462,444,531,101,715,142,136,260,921,388,759,376,421,850,009,
575,195,001,547,237,902,834,723,991,118,126,455,706,834,685,332,854,109,774,
399,218,695,802,241,131,178,278,457,959,224,828,106,547,910,559,256,792,229,
273,240,499,226,250,045,298,941,476,788,920,620,965,292,117,385,998,168,468,
397,984,547,784,412,430,699,242,657,450,556,233,479,255,441,789,198,384,706,
962,275,575,262,610,784,479,571,927,862,029,115,893,340,572,662,024,285,312,
537,089,532,186,473,960,129,779,947,899,284,795,231,624,216,886,103,227,711,
291,499,935,927,009,405,187,571,785,285,725,723,455,390,748,921,236,603,881,
661,382,436,263,377,809,067,745,481,551,480,114,159,617,355,431,508,218,093,
818,349,318,802,760,087,486,231,916,344,934,958,055,355,499,962,018,336,465,
602,545,926,841,125,695,431,264,429,531,943,880,837,686,256,767,309,497,048,
723,343,136,370,061,124,678,303,285,925,729,112,564,644,366,581,172,742,831,
348,791,227,845,906,731,678,749,148,813,158,613,791,301,577,399,791,779,228,
062,039,923,911,905,963,115,671,543,354,221,451,686,715,714,729,764,401,810,
674,538,106,981,255,580,731,017,065,753,514,387,505,762,781,329,973,624,854,
244,302,042,663,492,222,929,407,496,586,776,583,585,215,287,931,805,662,320,
558,807,311,466,765,340,737,346,376,758,324,429,741,481,435,246,405,123,565,
584,168,871,027,640,318,711,218,905,544,868,047,480,926,910,810,460,360,935,
755,070,003,086,976,481,794,718,072,423,443,079,505,637,805,553,460,575,823,
627,272,131,544,881,344,113,218,119,276,157,235,967,691,690,509,769,111,830,
231,416,446,851,832,679,668,474,757,837,373,466,494,031,900,290,589,587,754,
680,113,395,648,199,514,397,044,791,190,101,823,603,053,698,025,131,974,992,
057,648,986,181,981,548,435,829,166,523,805,162,026,140,637,224,930,830,179,
439,475,969,982,462,710,557,435,001,924,096,161,275,834,039,289,402,110,981,
960,223,572,408,365,633,269,427,574,029,632,998,723,411,319,746,300,716,659,
994,860,304,637,040,753,363,439,377,044,482,999,672,967,725,801,764,701,381,
284,799,060,158,949,710,135,876,637,838,106,403,775,874,940,593,827,174,657,
866,442,137,055,493,187,313,850,374,166,614,711,141,458,260,782,622,345,161,
575,011,832,381,457,288,080,602,509,431,739,949,597,999,234,088,273,146,092,
409,348,839,074,519,160,275,811,662,302,081,751,642,832,551,861,474,834,674,
282,712,744,417,723,680,634,045,295,606,352,025,440,879,273,272,537,048,188,
099,968,046,071,212,115,601,954,371,345,155,884,614,919,682,565,976,671,682,
072,332,855,836,240,608,543,398,385,936,919,568,832,801,294,465,364,358,460,
052,250,264,545,156,909,083,771,280,652,932,609,042,505,985,791,190,791,677,
884,639,137,597,531,111,276,975,570,362,865,689,102,136,209,242,783,513,969,
747,358,947,868,224,487,959,919,255,058,111,119,937,637,736,277,563,955,423,
160,282,710,508,311,592,829,340,203,727,017,898,426,623,353,911,729,460,866,
393,929,029,514,772,391,440,371,731,541,681,639,922,933,731,199,124,363,918,
798,868,037,954,979,531,985,483,734,001,277,089,352,598,249,393,058,978,145,
009,438,359,645,784,712,755,083,716,308,709,096,451,710,039,908,443,786,308,
966,759,097,618,753,855,448,864,045,609,148,855,673,106,272,395,220,694,888,
855,542,389,194,464,601,793,273,534,357,563,255,223,019,220,148,881,722,114,
843,856,831,469,497,869,262,235,333,234,782,102,107,415,358,163,009,288,395,
239,353,781,530,834,957,953,395,371,572,042,359,708,727,291,163,632,649,885,
153,422,230,400,522,067,519,753,941,204,275,761,003,133,015,408,274,533,230,
359,477,982,517,825,096,199,252,854,340,980,901,921,469,238,104,449,028,151,
480,206,601,016,963,605,933,676,737,592,649,574,453,796,558,761,326,139,528,
937,859,153,559,042,438,422,245,586,328,213,355,290,185,922,298,782,557,176,
292,989,192,066,857,226,738,690,486,132,122,632,063,950,036,899,510,966,638,
060,597,714,767,115,749,339,156,629,987,056,170,342,488,844,744,958,035,395,
026,471,975,004,648,768,967,385,713,104,749,879,035,413,846,050,981,986,901,
700,081,704,776,936,308,719,879,185,321,438,943,797,928,707,695,138,010,709,
465,296,041,639,933,357,175,612,543,869,929,231,658,679,612,305,582,890,802,
115,656,292,457,677,383,527,079,041,564,970,804,463,878,720,751,745,220,868,
068,496,074,111,596,506,352,097,751,563,687,867,439,032,564,934,763,240,513,
795,372,292,197,766,822,930,108,208,215,649,335,952,301,958,919,686,254,122,
563,855,603,297,655,296,011,027,794,189,987,624,816,028,750,505,188,094,782,
502,797,085,820,943,693,666,718,823,695,317,167,609,500,270,186,356,716,998,
764,336,339,039,736,124,101,173,333,397,256,896,742,665,095,065,142,284,876,
345,596,176,153,287,494,158,854,277,393,470,432,665,233,856,623,877,222,513,
207,880,391,573,402,649,497,803,960,560,867,654,660,149,937,059,779,461,168,
625,304,686,712,255,415,438,152,002,010,673,665,771,225,255,968,395,935,956,
715,344,185,865,176,169,726,599,527,327,820,470,681,237,887,327,573,072,176,
626,622,443,003,404,526,498,392,622,020,548,547,227,137,841,621,956,253,248,
298,393,579,358,178,044,342,609,849,371,953,580,029,211,747,229,456,944,407,
516,945,137,718,039,190,863,076,202,355,286,114,673,115,060,293,296,508,649,
839,043,833,869,780,809,051,158,731,467,053,173,868,251,712,474,492,858,737,
477,748,641,440,389,134,481,258,913,706,621,572,870,920,109,264,045,457,353,
258,766,338,689,722,237,634,133,298,588,496,376,241,861,411,463,165,182,005,
533,289,484,997,962,141,035,614,358,431,427,831,408,369,628,534,545,720,123,
148,755,477,032,014,459,687,437,383,220,672,436,217,046,590,202,383,145,015,
199,568,378,724,106,497,806,966,606,634,013,501,620,914,651,140,672,813,498,
110,781,947,669,108,717,238,022,246,873,149,572,045,766,041,731,960,099,352,
880,095,092,278,573,042,533,041,957,670,248,567,365,245,011,917,486,034,884,
493,755,256,614,736,121,510,939,385,846,475,782,200,947,799,376,027,700,461,
278,362,097,775,284,736,589,682,954,496,817,170,642,161,235,911,694,607,596,
372,027,452,935,475,231,629,412,351,105,498,894,540,374,885,968,347,663,250,
218,419,883,805,472,276,277,496,738,064,668,611,821,585,410,910,444,273,198,
933,145,421,864,454,294,554,183,105,176,176,550,188,759,913,664,910,344,263,
062,305,762,142,023,921,504,361,138,551,379,513,044,007,673,881,525,280,235,
806,937,578,230,791,537,057,487,617,518,360,728,226,986,758,948,304,160,449,
796,100,849,369,970,886,478,878,605,295,546,684,880,184,705,464,533,001,853,
531,208,267,856,319,882,508,506,342,576,346,431,495,653,070,457,684,764,567,
026,911,632,548,013,790,796,630,908,774,264,897,539,075,546,238,693,818,514,
750,096,659,361,805,362,089,153,247,507,864,011,722,457,266,467,791,844,537,
448,937,308,824,760,646,259,577,017,623,941,135,136,077,422,306,068,202,815,
712,827,585,038,107,955,807,919,430,086,671,191,117,603,218,005,564,255,548,
569,645,833,262,124,646,222,218,786,843,706,400,198,227,468,376,156,530,955,
525,562,488,470,776,946,332,339,590,124,970,264,918,632,525,244,347,452,239,
867,800,446,997,039,781,486,402,702,164,741,203,966,944,358,885,859,967,392,
548,806,146,016,016,768,984,468,975,804,851,585,302,612,192,465,446,347,861,
975,028,550,590,826,084,571,216,368,343,325,931,266,372,173,733,716,016,844,
156,390,778,471,440,026,749,367,292,271,405,768,131,551,540,988,887,112,612,
495,689,328,499,077,490,979,775,264,555,521,603,227,287,803,562,295,605,869,
768,465,240,195,839,470,223,570,534,813,166,894,014,337,445,870,105,590,481,
033,404,618,116,872,758,156,252,262,826,150,896,446,841,835,048,865,753,134,
871,174,930,420,017,208,714,582,682,253,884,845,936,963,502,044,725,723,729,
735,872,021,048,792,412,755,880,526,948,146,158,839,090,953,301,425,955,240,
783,466,515,345,771,859,458,233,282,034,068,951,452,043,615,001,128,653,296,
875,173,011,324,504,051,715,756,024,452,879,394,512,924,961,110,351,932,726,
476,849,337,466,181,441,244,878,086,859,838,732,763,035,702,989,987,295,873,
519,818,565,591,359,398,615,196,731,734,121,505,530,867,756,076,491,082,101,
653,041,282,486,956,420,252,225,427,109,575,590,703,456,463,498,408,419,919,
300,658,798,858,144,982,566,258,448,901,165,174,033,501,504,014,774,733,693,
099,272,020,857,872,003,955,290,838,976,040,826,815,109,496,433,793,414,393,
262,301,446,971,739,479,109,500,680,144,059,153,907,342,540,015,532,086,581,
510,589,560,406,967,215,556,299,064,804,417,427,226,932,754,480,573,593,690,
547,695,676,445,130,055,454,955,194,520,770,652,454,835,781,959,105,236,963,
643,093,420,570,103,524,174,576,743,885,907,156,600,985,950,219,073,232,859,
755,431,936,443,748,840,508,537,947,322,424,233,269,315,388,144,291,599,718,
315,849,554,128,172,531,844,023,400,144,541,439,201,406,431,644,347,795,671,
668,069,798,944,597,176,316,929,882,272,196,784,861,580,231,237,428,719,282,
779,796,122,608,529,674,739,804,689,589,950,978,427,181,845,161,394,148,280,
119,476,948,238,997,960,184,628,100,628,903,159,799,349,328,586,633,810,502,
676,384,331,916,628,965,471,849,710,121,150,694,461,934,511,998,676,240,571,
269,636,414,688,355,715,055,323,260,856,173,714,174,458,613,661,755,238,205,
129,350,719,344,347,740,745,687,013,039,807,243,634,978,289,041,574,350,487,
706,749,891,046,507,346,242,311,348,723,867,633,313,007,995,597,711,993,404,
361,285,397,234,887,110,689,138,344,107,612,814,439,837,318,113,195,277,547,
643,552,315,120,278,189,745,508,927,138,155,597,075,842,560,165,397,957,903,
070,064,788,181,988,475,689,852,560,033,546,650,938,147,777,554,806,539,118,
399,645,196,869,433,467,296,930,182,317,528,231,226,034,414,188,543,866,844,
103,546,948,833,978,940,951,272,388,721,724,316,741,667,567,254,095,746,806,
777,016,659,238,007,889,029,315,784,486,799,513,429,950,923,134,739,792,016,
113,124,491,928,919,199,684,315,624,554,856,997,004,565,035,690,701,370,128,
047,860,737,961,733,538,290,323,337,072,663,829,326,752,939,143,542,350,964,
495,186,618,640,718,471,273,286,203,704,502,125,210,927,096,062,474,868,555,
841,882,289,643,383,715,100,771,368,379,727,633,139,894,795,445,209,223,403,
233,757,979,560,822,244,920,852,515,224,027,359,250,228,927,905,643,188,638,
815,693,493,103,269,184,125,064,557,369,923,138,108,302,103,927,333,538,938,
060,148,236,525,888,503,640,531,915,808,290,837,742,949,221,548,126,329,735,
024,141,977,882,154,991,702,824,457,634,067,945,680,325,945,348,368,014,139,
674,831,454,780,405,351,450,747,037,424,699,280,434,650,391,692,367,491,930,
484,753,223,108,809,569,571,442,995,099,131,223,175,975,233,828,802,641,386,
681,369,354,442,959,807,429,041,713,322,266,334,547,191,828,024,935,386,436,
379,195,009,218,038,937,865,066,551,588,630,814,441,673,189,875,288,650,079,
227,808,031,292,688,676,052,059,304,298,363,050,786,042,895,036,249,992,707,
934,542,823,035,176,704,671,097,351,037,178,595,900,250,187,927,315,459,442,
075,344,387,624,471,434,517,310,998,897,205,709,535,024,871,192,065,257,420,
945,985,623,729,185,230,751,284,966,237,142,428,009,298,778,329,067,007,783,
363,603,041,968,198,383,026,378,407,398,895,875,001,494,372,578,871,796,813,
525,227,868,923,842,854,587,031,887,631,172,639,821,636,115,160,881,672,139,
225,568,556,824,173,420,385,949,664,323,268,920,377,514,327,663,502,947,375,
923,851,336,352,165,993,040,514,409,563,187,062,877,062,629,461,893,420,384,
917,443,032,972,227,572,505,009,789,310,460,900,547,904,993,923,071,492,851,
844,336,312,596,675,225,989,870,556,039,605,589,639,428,130,638,289,576,273,
533,585,290,524,332,207,894,936,074,658,447,370,171,072,740,419,116,970,473,
828,407,336,270,704,767,760,958,610,883,191,735,865,693,535,519,121,040,359,
168,630,620,086,581,669,670,255,289,684,371,569,885,044,676,119,708,018,059,
582,226,269,324,104,866,407,051,129,598,351,855,706,298,203,575,377,240,415,
867,018,482,835,794,883,591,808,406,049,831,342,697,187,931,417,011,670,678,
997,378,960,152,310,415,933,225,307,774,859,330,272,691,662,155,969,478,034,
549,780,160,825,080,190,364,848,278,132,556,585,509,074,396,002,245,253,625,
348,076,700,937,502,750,048,435,183,528,115,774,276,115,960,003,596,227,102,
901,625,569,985,788,022,608,898,467,036,075,737,906,937,317,982,862,971,759,
854,040,201,821,776,776,356,662,548,233,878,113,050,886,737,210,718,096,469,
898,308,586,071,890,180,022,977,940,089,204,287,770,145,423,340,306,828,267,
450,956,731,670,944,152,532,928,424,307,666,751,327,749,852,736,106,754,532,
535,215,151,829,621,718,274,398,884,301,113,581,019,171,450,119,959,793,299,
951,425,779,075,592,868,590,308,934,231,297,940,565,708,553,630,489,252,160,
193,544,743,678,418,059,741,777,821,217,499,345,166,608,060,815,863,128,072,
208,676,055,105,133,706,301,683,198,197,936,281,311,376,121,981,328,593,154,
926,473,581,392,072,325,726,187,954,406,011,247,196,803,077,082,850,767,013,
648,083,778,896,047,803,585,199,585,449,261,409,453,618,917,831,477,666,929,
700,340,600,199,749,568,335,114,053,396,800,636,144,394,724,330,563,426,183,
081,336,888,877,594,454,241,084,474,789,160,364,567,056,668,985,035,892,552,
773,632,245,413,679,046,609,642,263,356,971,923,174,226,511,012,290,019,189,
761,487,726,831,399,308,192,030,921,225,150,541,801,660,866,718,491,863,608,
419,434,135,030,670,361,662,844,986,312,413,368,544,437,439,328,263,117,714,
876,901,768,457,964,407,658,201,936,897,459,929,147,224,515,008,378,256,359,
590,035,174,701,061,204,420,057,866,362,112,732,039,595,279,336,005,051,819,
582,276,822,756,459,871,510,999,397,178,891,146,817,390,926,312,106,048,679,
725,416,758,382,781,825,010,329,579,839,828,007,690,982,060,569,260,644,505,
578,758,699,367,377,018,806,770,278,676,755,578,278,740,358,402,051,093,460,
829,188,814,603,765,691,944,976,076,628,227,222,797,727,782,533,809,020,503,
725,180,762,158,330,731,583,203,957,923,010,870,120,369,428,548,759,160,835,
197,573,657,630,936,512,523,029,110,581,599,413,951,667,777,939,258,440,009,
120,378,096,265,200,544,164,565,896,372,682,020,808,746,638,592,269,459,532,
966,525,977,554,960,866,230,198,375,739,541,468,792,495,342,161,674,729,611,
757,142,219,639,177,090,272,157,691,574,047,626,676,472,506,485,170,325,508,
716,802,164,022,975,118,668,380,366,580,833,100,047,133,639,571,798,493,260,
355,077,122,459,321,798,863,678,734,604,870,674,988,087,990,957,092,473,034,
920,564,882,693,162,982,729,080,462,423,405,557,461,946,546,095,691,659,524,
322,688,509,843,990,552,996,010,674,435,322,211,178,280,662,824,585,662,776,
474,324,183,605,548,573,473,070,411,354,665,234,679,322,809,996,928,482,799,
681,979,262,212,232,822,936,045,422,450,573,761,129,523,035,784,418,223,710,
638,593,610,163,459,106,093,265,405,665,746,450,651,644,685,240,543,553,302,
339,936,112,680,953,825,115,190,539,983,330,080,585,109,904,100,470,349,093,
484,494,298,059,003,578,575,983,114,362,421,904,268,030,738,640,364,837,843,
436,660,771,413,900,012,786,155,327,851,596,932,813,204,686,683,522,815,867,
419,486,548,491,267,021,675,938,386,024,530,389,729,552,721,401,333,754,570,
058,311,398,945,056,904,653,509,984,248,956,836,206,046,605,482,036,642,573,
331,623,913,274,325,227,343,611,473,354,418,478,339,998,752,473,670,519,453,
393,698,840,691,278,211,347,358,151,305,761,498,425,200,023,754,003,926,331,
316,759,501,953,064,349,956,658,306,105,092,631,397,851,922,946,108,071,856,
403,742,697,871,404,134,121,596,922,293,208,355,714,813,533,959,685,364,927,
697,745,792,433,817,821,786,972,384,143,546,249,667,107,710,636,794,878,119,
557,693,153,371,117,527,283,858,861,450,896,869,467,616,935,758,330,470,160,
811,384,000,102,838,310,378,980,495,463,026,884,489,991,703,501,767,663,318,
646,572,320,074,900,227,946,197,846,191,849,042,690,700,055,843,783,037,688,
796,963,739,736,887,864,876,587,085,413,881,554,973,536,840,698,450,026,478,
545,979,471,353,016,656,971,518,196,982,673,383,625,208,535,497,474,077,630,
871,609,238,498,957,066,548,721,189,732,134,933,438,514,608,155,078,607,489,
863,689,774,150,786,566,476,749,747,772,407,224,164,357,901,375,706,180,662,
808,260,067,669,696,173,112,979,348,877,766,508,976,464,717,965,051,584,278,
102,642,039,018,312,841,932,851,181,372,714,837,956,391,943,342,344,850,027,
950,396,126,698,216,674,038,000,986,347,170,491,386,080,365,631,238,793,957,
393,556,396,557,086,006,688,716,540,628,251,401,683,462,815,237,265,062,656,
670,074,870,300,226,861,477,746,009,014,045,903,780,314,930,052,903,970,591,
353,318,465,095,639,117,527,059,369,178,135,570,007,246,312,204,220,814,428,
329,371,093,462,319,443,678,333,541,416,558,547,721,056,024,712,736,168,060,
985,520,410,127,541,737,797,631,170,399,787,455,367,340,594,651,966,842,101,
332,973,010,764,302,754,663,207,134,984,376,465,414,895,794,535,795,588,551,
524,409,029,445,680,615,649,411,349,256,124,853,174,474,872,937,432,903,964,
805,496,110,122,119,277,582,263,026,508,779,838,474,022,073,376,719,195,390,
983,397,887,512,453,090,920,120,683,099,075,669,512,787,891,862,227,481,406,
544,511,691,106,993,075,867,044,403,038,559,046,811,214,367,566,583,978,723,
766,048,229,538,269,372,183,745,298,561,174,905,889,546,853,097,803,367,736,
266,884,473,847,196,683,327,944,651,508,020,501,746,308,792,115,353,221,824,
090,661,244,629,145,734,529,810,879,849,338,236,864,712,215,295,286,287,938,
676,682,226,241,267,742,329,949,955,035,139,588,475,115,526,096,953,033,748,
253,796,756,123,634,784,371,891,009,536,296,935,235,183,780,444,782,698,096,
907,445,722,984,511,696,208,057,985,266,052,869,971,985,587,162,501,430,337,
745,498,523,323,119,351,725,725,569,237,233,613,304,650,313,637,501,114,511,
861,954,026,319,635,538,331,270,508,820,804,776,979,137,609,297,950,835,223,
093,038,447,656,015,393,131,732,095,470,843,229,560,533,939,220,671,172,155,
449,726,037,898,773,524,061,025,661,811,375,419,333,080,132,191,437,104,127,
232,156,451,154,246,843,106,147,162,451,175,026,478,861,515,214,375,307,454,
799,991,538,806,505,786,599,165,398,115,343,110,538,689,392,377,163,355,911,
774,393,323,023,251,990,487,531,187,629,751,567,430,073,232,731,698,157,442,
142,584,460,955,017,460,495,401,834,138,946,181,246,460,275,079,282,740,046,
326,846,966,599,639,947,506,544,532,762,470,549,602,630,025,931,470,350,920,
276,755,641,185,756,609,058,141,072,529,346,567,589,662,757,793,736,634,478,
404,804,892,843,384,080,821,020,379,065,289,009,425,798,334,407,921,964,816,
805,816,514,484,027,611,442,741,291,992,143,201,598,124,974,059,576,399,351,
493,965,017,342,361,829,641,167,548,435,902,340,243,656,645,679,322,654,444,
465,737,173,621,089,309,027,980,181,629,210,218,130,265,279,726,300,293,732,
345,121,102,468,165,137,530,014,606,084,365,926,099,527,939,681,923,386,879,
847,244,438,768,309,049,667,458,302,363,749,580,982,254,623,340,375,339,332,
184,901,549,987,521,553,920,880,035,836,602,341,252,671,766,065,681,827,674,
613,865,404,686,816,202,602,689,205,081,044,516,021,581,245,151,586,939,274,
287,614,749,428,148,369,714,924,668,233,452,541,439,303,424,988,743,496,405,
413,973,282,030,958,228,335,852,562,806,057,017,206,587,366,417,139,332,462,
764,156,492,997,243,949,929,208,111,905,757,363,143,726,970,008,940,212,278,
428,743,584,001,802,306,972,061,431,070,120,766,198,751,349,612,407,201,677,
761,987,783,449,688,158,214,984,368,821,584,914,104,325,385,560,184,835,519,
835,631,858,198,532,380,564,043,065,123,672,100,132,963,017,823,582,140,198,
941,060,507,853,286,206,646,100,436,405,954,831,234,633,876,192,808,394,053,
860,922,409,761,694,918,578,533,605,121,138,081,504,840,433,468,018,505,664,
209,699,102,544,441,670,147,603,116,521,098,585,235,758,894,292,402,175,170,
820,267,306,593,147,644,407,750,657,763,846,030,854,901,495,930,780,976,076,
883,512,397,320,987,972,668,231,804,037,114,024,877,142,047,277,472,909,535,
357,189,636,398,226,504,211,215,044,944,701,295,001,183,044,052,464,335,171,
216,611,455,809,520,118,968,988,334,538,541,374,185,709,278,720,560,817,884,
098,168,311,246,267,487,345,518,418,701,179,371,057,382,145,563,323,029,797,
122,821,643,888,148,049,040,911,586,362,532,603,103,341,107,332,093,486,364,
598,750,787,815,158,902,408,747,441,473,960,486,836,150,665,431,156,328,048,
904,744,548,311,694,908,682,581,979,868,956,781,055,575,292,155,501,106,818,
380,982,516,184,072,315,828,145,144,517,343,133,305,449,711,635,113,249,889,
850,807,282,839,826,501,505,817,452,146,607,337,215,545,166,383,881,544,158,
888,347,669,332,840,481,501,519,311,249,662,563,989,787,325,003,489,848,444,
829,460,240,263,713,513,481,494,847,826,373,396,728,696,673,268,278,120,862,
640,559,737,805,356,737,363,519,979,270,209,941,661,872,240,013,438,648,574,
798,557,197,114,081,797,970,034,404,304,342,859,371,784,074,919,828,502,338,
786,972,318,897,737,136,443,476,563,836,177,861,195,430,921,672,923,904,771,
475,243,428,792,078,047,463,621,790,972,879,186,846,508,374,473,412,214,932,
112,658,030,082,557,467,637,639,145,757,437,367,361,600,578,213,052,470,303,
795,924,771,218,693,093,224,502,813,717,642,655,074,963,291,514,245,497,137,
430,760,004,153,397,794,256,418,621,963,187,318,890,249,015,087,597,533,329,
206,761,555,547,129,228,992,383,522,696,349,220,665,520,526,343,022,972,164,
162,651,143,939,475,091,665,073,841,358,422,716,389,474,095,248,377,000,697,
169,091,824,157,142,282,330,767,277,698,097,712,961,076,157,279,422,893,400,
379,194,760,385,937,315,613,784,075,217,085,458,239,928,857,680,675,124,374,
567,440,926,027,450,221,365,955,493,678,088,959,668,170,168,528,674,786,378,
436,058,653,621,503,261,826,575,716,360,199,594,012,267,977,571,847,985,626,
736,378,298,154,777,759,689,444,150,267,556,787,864,719,119,338,757,659,175,
456,486,160,606,458,663,472,989,468,833,769,815,943,755,889,705,519,589,392,
299,172,303,623,154,848,092,891,874,531,081,250,780,800,025,427,009,094,741,
127,112,081,292,178,864,004,995,124,852,585,024,562,972,897,266,366,361,260,
803,580,792,509,321,031,449,710,108,244,849,739,028,546,224,620,459,195,265,
650,095,148,477,656,527,615,683,152,335,416,513,580,096,203,080,760,643,139,
757,622,760,912,605,272,194,922,209,508,652,604,090,331,893,600,748,726,376,
449,061,407,027,998,909,461,093,014,404,570,188,162,047,976,327,086,301,814,
388,793,518,369,351,151,082,386,197,400,923,932,568,684,051,789,930,992,154,
243,363,143,876,560,853,317,265,171,836,663,805,814,795,441,269,364,591,838,
414,335,134,508,250,244,188,741,762,094,484,863,265,950,023,666,913,053,075,
142,795,295,143,876,272,562,315,557,097,076,514,244,337,259,168,982,308,190,
713,118,631,440,038,236,454,590,531,250,905,482,275,215,499,804,867,363,899,
516,961,211,032,340,760,857,781,749,115,961,299,224,529,272,542,652,196,372,
771,758,368,240,601,845,398,619,640,949,069,022,847,603,112,143,226,151,734,
456,284,400,304,644,314,910,097,885,035,162,274,723,085,138,919,910,748,127,
513,506,690,720,328,085,407,053,635,159,355,226,821,080,750,667,976,275,756,
126,028,188,442,898,787,059,692,421,438,435,331,216,815,725,886,431,855,260,
590,098,203,228,454,822,762,408,163,536,529,271,322,316,711,450,282,261,653,
406,815,980,409,986,223,135,995,170,806,456,042,486,847,832,017,182,851,592,
900,826,133,621,833,964,275,931,222,206,665,882,466,837,985,547,854,842,030,
758,879,458,207,043,084,795,911,841,940,363,001,512,857,425,395,110,775,105,
110,935,399,341,945,243,940,666,480,834,566,760,343,655,477,931,474,372,904,
162,677,518,465,742,028,364,292,202,105,374,425,313,305,547,528,353,451,763,
003,531,750,066,594,167,088,266,374,922,816,142,690,893,030,367,160,472,708,
705,566,357,451,976,121,930,667,337,182,601,499,951,854,319,236,641,221,150,
960,746,014,756,877,490,447,745,004,550,062,420,674,672,481,332,446,388,519,
569,802,441,848,038,203,623,148,048,089,140,585,242,972,074,141,474,908,347,
316,792,541,636,411,059,086,728,676,915,851,101,470,896,002,199,490,460,084,
660,646,248,346,966,633,485,850,175,932,221,426,617,065,107,540,773,373,266,
900,163,427,301,458,114,819,915,319,832,085,488,224,455,452,034,821,469,577,
278,482,180,717,046,150,607,694,649,349,524,664,745,916,655,340,716,684,643,
340,624,113,188,575,386,173,131,678,256,466,245,178,236,150,104,294,086,820,
526,706,679,959,032,603,553,785,818,551,394,890,476,894,440,920,392,584,893,
130,758,147,138,326,975,447,037,616,322,430,492,900,476,699,053,778,005,825,
775,044,561,191,231,676,169,538,954,898,520,943,226,261,520,448,961,607,710,
422,168,904,406,340,612,926,812,222,898,513,667,103,070,060,504,404,444,757,
127,700,516,921,469,063,156,681,645,909,688,052,736,662,343,647,127,577,770,
265,199,646,134,606,264,507,175,435,452,806,749,797,473,777,137,232,514,667,
950,920,188,414,132,082,726,270,588,265,300,638,621,572,115,791,059,870,703,
956,357,291,721,969,367,796,948,452,730,580,044,697,633,511,441,477,309,333,
558,631,524,600,868,026,601,585,516,324,685,213,562,973,047,960,037,097,723,
440,268,959,686,589,614,457,015,357,538,925,284,036,471,325,260,638,901,574,
298,947,700,782,536,956,464,263,070,448,953,309,838,089,806,349,843,412,618,
024,876,760,830,141,712,034,796,613,589,643,880,696,075,901,644,447,870,449,
668,472,048,633,081,928,525,854,284,122,517,013,308,221,556,502,813,501,170,
054,278,398,933,088,476,195,549,646,411,372,595,201,314,117,553,107,803,984,
105,762,182,465,049,748,393,456,735,101,577,661,554,817,866,559,053,507,063,
877,096,666,098,203,204,988,704,856,635,482,671,152,040,467,109,628,927,722,
472,720,608,267,328,014,326,044,456,856,252,309,726,115,396,256,745,232,962,
056,435,148,430,639,782,856,363,354,539,352,377,176,167,931,656,205,882,179,
374,594,470,889,525,720,700,006,474,023,034,471,071,055,702,919,333,616,763,
492,220,671,326,050,654,228,248,596,080,566,109,521,901,988,288,100,456,418,
451,409,768,694,040,710,360,406,638,556,356,860,778,488,157,519,040,396,430,
325,740,297,533,975,449,362,571,483,586,674,211,537,105,166,676,510,944,226,
538,023,022,210,373,323,032,170,380,814,875,722,353,068,741,387,588,624,636,
881,715,145,173,468,983,069,780,664,047,389,912,669,329,665,729,052,631,804,
013,832,788,896,666,093,109,516,473,545,948,580,912,366,513,034,620,625,791,
292,047,087,844,067,960,464,210,790,458,608,940,465,685,780,609,465,944,013,
842,963,072,305,521,708,552,958,531,455,432,921,369,684,540,510,318,421,670,
570,014,023,321,415,851,247,479,119,320,985,051,262,626,033,407,788,615,331,
917,675,231,522,513,735,355,931,395,443,770,893,104,796,590,449,780,970,642,
700,667,412,846,077,204,240,061,067,160,520,511,126,488,920,006,934,476,482,
295,798,055,641,858,411,281,415,466,492,285,468,979,074,344,499,617,595,234,
612,442,498,273,562,314,288,354,397,477,888,708,226,443,697,735,818,216,761,
633,330,908,046,252,099,740,106,657,047,511,522,915,634,799,741,945,093,063,
055,381,959,867,686,448,291,991,000,908,174,011,342,738,331,677,445,313,000,
854,072,712,849,861,985,463,636,928,077,675,032,832,670,880,627,596,862,694,
066,674,466,040,308,728,829,361,575,126,716,264,466,492,512,700,053,403,262,
686,909,097,014,737,229,377,794,129,185,927,464,222,464,149,270,062,548,743,
701,755,732,937,947,616,971,595,566,208,140,195,725,722,107,674,336,024,223,
538,351,744,907,135,373,123,939,675,945,382,163,630,267,565,096,710,492,406,
773,182,674,743,671,796,127,703,661,922,309,547,764,583,761,239,120,357,310,
412,350,812,266,542,970,306,848,639,526,601,232,518,798,708,106,453,536,860,
974,936,888,103,261,152,334,248,758,032,990,496,754,983,220,206,188,304,691,
795,625,998,795,589,841,191,726,917,612,382,233,248,129,562,298,988,109,242,
725,132,103,970,276,913,917,731,255,781,157,014,350,561,271,005,497,932,051,
813,391,296,829,560,572,420,203,298,444,946,597,898,734,646,558,610,921,222,
619,666,446,075,842,431,059,760,805,104,854,795,237,485,578,117,367,529,431,
818,579,783,005,675,914,929,935,222,675,919,863,239,478,432,041,384,372,438,
324,011,393,587,863,450,014,980,100,413,991,365,298,904,218,198,539,904,658,
088,650,535,321,500,541,722,802,452,685,721,799,455,332,226,300,281,359,501,
723,986,227,965,555,518,526,976,659,138,864,406,990,623,966,574,214,737,682,
366,159,154,110,286,787,454,320,973,511,571,469,643,254,268,714,802,302,145,
295,994,738,903,372,564,246,333,579,583,125,271,706,884,097,180,786,851,019,
505,716,113,558,348,985,149,729,600,523,739,403,943,631,133,901,557,017,036,
001,037,230,126,122,259,654,966,019,999,386,711,990,638,702,846,050,388,407,
541,219,167,952,199,915,798,379,348,957,442,504,972,750,701,233,882,434,021,
511,130,223,059,892,894,039,489,137,323,703,699,158,993,921,449,213,210,144,
739,293,906,122,587,576,154,034,280,787,347,809,404,455,323,776,448,810,939,
419,742,763,791,879,156,292,971,807,529,258,338,422,943,501,365,302,549,188,
730,870,791,662,187,010,280,624,448,614,371,891,304,882,482,614,730,909,996,
280,563,679,243,238,403,914,739,786,910,756,764,136,494,950,530,268,915,439,
508,537,492,720,474,126,704,568,224,091,093,730,445,434,379,156,761,937,236,
287,289,831,126,935,931,041,586,457,619,787,110,978,721,387,199,631,123,996,
607,521,344,778,914,931,702,289,065,672,967,489,544,105,261,899,772,711,961,
329,406,337,818,635,125,489,840,392,762,347,993,378,010,877,209,574,782,082,
219,034,366,640,972,090,958,908,713,834,775,158,245,532,478,956,214,512,496,
023,796,451,602,917,111,799,485,735,720,433,930,959,766,781,697,830,793,828,
633,210,761,918,004,975,212,209,430,873,697,875,587,316,036,194,017,819,332,
924,042,584,266,026,417,072,604,172,448,813,979,859,616,015,352,547,417,681,
379,354,638,499,249,328,341,771,285,517,226,767,594,550,659,216,592,932,407,
994,422,121,358,657,782,809,491,517,774,599,491,203,067,886,433,329,950,896,
422,663,394,017,329,625,730,374,240,734,476,221,477,922,508,374,266,136,012,
492,901,386,081,793,112,485,737,762,354,477,204,082,687,021,089,137,815,514,
507,710,722,706,759,456,540,535,476,882,311,587,259,557,733,108,232,073,565,
161,561,745,270,530,918,675,767,116,307,752,555,502,525,221,083,905,693,349,
019,799,553,523,829,077,256,194,354,119,637,801,000,995,530,604,236,706,356,
902,761,043,113,323,915,836,193,645,045,694,963,614,102,362,440,002,421,961,
480,960,834,887,520,568,888,220,495,283,891,234,258,697,956,972,651,255,490,
380,749,336,240,316,702,670,627,406,015,556,489,096,151,881,501,773,293,249,
647,238,281,804,248,375,388,600,092,134,505,736,947,518,203,639,071,640,078,
453,024,814,846,465,896,234,737,813,389,010,974,835,047,597,900,034,416,808,
791,614,953,353,844,255,837,616,744,078,383,579,638,992,390,314,141,877,984,
893,205,742,790,595,325,896,103,601,090,228,854,267,026,963,820,271,538,580,
970,475,186,158,612,624,944,161,534,725,376,561,819,842,440,489,740,408,997,
451,096,864,644,229,937,911,249,219,800,826,377,697,414,714,825,116,216,106,
936,715,458,981,409,240,277,780,183,911,504,054,061,645,257,588,086,870,100,
584,118,644,737,878,218,497,473,500,175,936,176,691,293,362,573,949,886,718,
849,883,129,725,634,484,931,497,664,613,770,155,304,790,974,616,995,340,156,
861,245,776,627,926,456,984,032,957,714,861,306,563,638,383,487,908,225,099,
510,954,284,766,605,279,670,032,501,763,859,387,953,012,075,740,639,920,688,
160,734,307,442,262,904,235,719,517,947,444,358,714,639,634,179,575,887,791,
000,899,637,399,429,323,316,089,706,790,687,324,228,465,625,595,669,887,422,
300,583,775,089,507,679,961,998,078,451,461,242,096,748,070,071,127,030,856,
395,713,695,090,764,561,444,061,615,684,935,246,479,815,587,166,201,803,002,
864,530,063,766,197,098,751,135,474,395,143,885,529,458,235,990,194,162,919,
153,621,039,593,899,066,746,643,793,304,285,314,847,020,209,402,002,388,184,
676,724,720,017,520,098,952,173,745,721,617,102,496,828,032,522,271,484,641,
834,546,588,959,001,945,104,753,553,765,036,724,461,690,523,015,829,778,596,
835,395,501,657,809,291,590,497,622,807,400,326,148,324,607,290,575,110,076,
687,714,627,662,340,888,719,427,004,951,507,360,081,665,307,880,277,927,677,
621,587,756,664,315,114,507,735,736,307,267,582,527,113,219,033,084,658,271,
251,571,817,903,161,517,565,599,134,414,240,372,746,153,878,140,182,023,682,
400,336,343,902,011,412,307,501,853,563,637,121,152,678,869,438,307,017,027,
280,367,095,871,330,510,374,589,574,558,882,903,741,826,303,927,426,418,273,
662,690,808,771,481,570,128,380,089,551,707,226,513,508,588,834,028,325,319,
730,134,789,907,291,495,942,469,069,581,538,647,551,178,146,220,053,199,168,
568,162,233,113,154,686,401,057,365,593,872,959,215,159,941,469,206,289,680,
409,280,249,375,430,338,682,781,285,479,516,408,181,815,396,304,329,084,362,
742,669,054,524,124,232,726,771,670,638,223,612,672,727,000,240,268,489,263,
155,538,358,556,665,852,406,057,279,058,815,483,716,086,197,552,337,407,403,
853,544,849,790,342,269,164,563,139,304,565,597,908,039,222,441,697,592,164,
860,553,147,288,466,845,984,906,541,755,187,035,252,552,444,021,172,116,981,
689,530,478,760,322,082,779,000,882,191,850,331,984,332,018,349,276,603,868,
167,633,206,936,366,261,288,079,129,600,869,915,519,753,985,702,479,123,414,
912,301,116,627,092,481,961,001,180,249,825,578,178,023,278,073,207,299,199,
557,600,860,812,991,289,935,845,548,268,498,778,545,718,708,585,522,638,432,
603,388,632,108,634,446,342,677,946,838,341,719,727,172,029,455,640,652,770,
239,287,905,160,667,699,236,990,334,143,870,186,553,009,888,976,531,831,484,
391,203,387,135,118,830,139,007,318,832,788,986,990,136,092,122,699,487,897,
267,960,365,538,783,744,947,874,649,320,698,532,955,391,263,536,717,652,752,
536,637,840,845,229,498,391,049,835,428,424,044,356,980,779,441,369,914,793,
066,219,780,253,481,558,936,530,873,137,221,164,181,556,333,398,557,230,733,
733,393,000,707,596,801,030,144,399,949,294,520,934,491,024,309,645,734,187,
464,725,270,798,755,308,206,132,947,649,575,799,789,125,195,451,076,900,079,
917,127,877,189,857,677,645,242,121,988,560,262,740,129,693,108,671,645,073,
420,776,431,048,072,626,947,345,543,998,907,311,873,836,677,495,278,442,952,
184,413,650,246,557,272,103,234,812,620,791,123,053,647,753,395,379,196,993,
585,535,427,527,806,704,964,468,481,238,850,383,918,973,332,807,906,361,190,
822,106,138,753,125,905,977,567,037,659,126,640,311,725,272,268,094,851,120,
110,697,868,988,631,130,650,630,546,798,378,430,593,580,466,625,406,736,606,
405,639,399,137,391,448,720,895,129,803,382,866,672,911,521,244,164,503,980,
550,785,531,879,079,135,544,708,977,552,254,392,901,378,465,328,263,814,139,
323,786,503,641,116,605,865,873,580,591,768,524,490,120,112,558,675,955,876,
395,822,601,122,979,758,255,000,857,527,067,011,479,771,303,363,179,839,794,
320,449,436,570,906,583,283,236,632,728,087,399,957,912,806,136,820,678,611,
165,654,252,501,399,356,642,489,415,662,218,829,171,209,877,877,861,038,850,
805,077,951,600,997,650,471,250,439,497,107,284,837,096,818,744,701,717,737,
856,868,476,131,016,582,461,555,183,514,345,363,670,910,651,946,308,126,889,
033,017,863,151,143,731,272,446,689,710,489,052,852,112,993,942,699,294,402,
266,950,266,915,343,366,202,295,897,616,076,933,724,019,222,080,219,346,041,
320,030,375,348,216,068,333,893,148,819,624,540,272,720,275,005,076,736,937,
657,057,046,446,059,956,151,609,395,794,676,691,669,502,841,995,487,805,976,
553,185,558,313,569,322,071,036,153,370,288,131,378,108,063,284,944,926,205,
940,791,916,855,163,307,991,317,662,037,589,621,596,710,696,821,910,549,130,
758,079,467,073,474,056,826,951,791,092,705,328,266,670,024,120,638,937,213,
468,590,219,678,782,762,786,143,259,400,152,714,899,224,010,544,551,931,640,
498,347,757,487,629,376,777,786,076,463,325,328,735,749,100,788,804,259,907,
791,204,258,205,525,044,197,458,228,023,721,882,025,521,496,374,628,713,065,
823,899,549,147,182,894,624,267,589,602,503,631,006,606,066,273,703,883,654,
583,825,224,897,133,255,190,961,709,317,366,616,675,864,704,579,505,504,377,
345,398,109,561,874,000,406,553,521,397,960,881,693,653,503,558,665,587,415,
129,753,464,014,860,927,366,188,920,291,622,755,973,110,339,606,316,010,791,
703,094,369,353,561,250,797,943,641,166,584,392,473,990,797,523,937,335,539,
326,111,803,151,737,094,796,366,118,228,341,134,816,890,121,985,528,392,044,
435,795,419,888,888,306,562,086,397,976,687,589,391,486,793,951,049,940,414,
801,559,289,872,324,147,614,333,871,468,176,073,050,193,776,376,367,069,123,
700,098,148,460,362,294,287,628,027,719,184,206,390,593,465,426,471,062,690,
608,762,738,522,836,890,292,404,756,724,390,746,016,828,825,356,746,273,223,
900,985,702,093,356,362,995,176,566,882,563,347,621,052,405,271,524,273,479,
528,614,130,964,336,125,905,480,426,400,068,236,529,203,700,029,537,577,049,
294,795,359,688,603,182,466,690,497,141,309,333,524,757,149,212,400,591,479,
548,309,339,749,411,426,688,531,073,171,275,252,235,633,405,932,575,399,091,
816,792,273,875,930,871,407,676,490,796,099,757,265,768,806,551,726,000,327,
143,705,118,868,124,987,363,302,506,515,028,425,723,175,161,665,006,964,991,
658,558,529,527,487,038,275,394,815,837,196,901,794,048,613,204,400,886,565,
142,776,719,379,271,813,289,851,476,480,691,168,946,035,754,666,628,499,212,
403,484,661,107,767,785,974,107,968,250,587,523,443,510,356,173,975,010,346,
940,790,218,694,552,906,675,741,388,357,536,121,332,855,984,972,027,657,962,
006,563,491,354,469,930,556,632,560,345,527,429,094,441,066,560,816,616,912,
882,988,771,749,985,134,013,409,717,015,734,386,802,923,382,912,145,970,168,
459,734,282,415,526,071,857,052,961,683,803,656,796,249,094,078,675,286,978,
551,574,452,729,270,929,851,079,820,008,208,229,759,076,658,181,579,295,607,
305,306,719,429,543,420,609,627,460,136,417,144,757,029,115,135,574,031,647,
031,059,252,378,189,597,293,502,012,718,011,258,113,674,970,645,964,111,251,
355,492,731,822,774,270,781,998,000,995,648,092,006,442,070,774,000,999,572,
792,115,752,211,413,614,093,564,293,753,051,289,875,736,613,285,210,603,409,
984,290,402,555,330,621,877,058,917,217,591,231,127,324,367,326,082,384,225,
095,456,470,339,078,653,874,622,646,028,866,205,872,641,381,658,693,328,692,
560,829,583,540,245,746,256,919,184,398,109,719,324,812,223,497,829,067,786,
037,620,651,779,198,721,176,699,554,203,547,979,362,123,109,760,854,186,614,
234,486,375,930,806,806,405,158,492,834,323,887,716,135,408,822,946,781,928,
757,271,059,825,750,124,180,823,022,447,648,171,421,106,544,682,622,369,064,
620,516,662,211,638,556,912,473,691,640,405,742,066,663,001,332,809,344,555,
546,378,142,358,724,478,948,381,545,862,757,535,364,405,681,409,165,100,385,
594,613,161,991,182,127,564,231,596,343,579,735,318,421,725,636,604,421,274,
297,490,350,657,519,439,094,621,809,825,850,399,195,975,745,483,893,753,630,
393,286,684,778,698,608,684,875,511,729,912,912,645,895,069,503,044,665,264,
396,272,837,325,810,419,858,131,325,218,263,228,088,983,314,709,413,045,758,
901,669,475,753,449,919,726,387,200,023,995,436,262,658,670,124,497,222,490,
578,825,441,305,802,240,679,603,766,702,576,999,903,799,324,922,702,144,476,
790,856,048,791,164,171,100,517,758,144,445,798,354,340,925,082,348,636,108,
486,089,993,022,899,280,348,828,138,263,123,233,116,351,917,072,283,578,743,
350,018,506,135,125,623,011,117,580,924,940,205,510,294,125,590,817,556,846,
346,290,974,130,361,912,348,333,653,155,449,674,635,391,461,633,955,099,865,
173,249,372,489,572,038,123,507,884,942,840,474,528,388,561,447,036,916,251,
574,423,401,251,103,596,165,028,264,137,657,882,967,256,283,590,350,379,022,
085,544,244,960,696,297,197,387,159,391,975,587,083,534,294,372,066,662,337,
776,771,521,010,767,496,531,451,363,690,013,515,125,534,306,447,523,700,572,
737,847,178,898,557,609,426,638,969,578,807,347,250,904,340,790,243,997,083,
524,344,354,458,634,260,569,081,022,867,340,058,072,813,535,275,591,955,990,
520,376,799,015,711,688,188,656,974,560,674,383,878,615,937,056,461,299,857,
181,311,693,109,680,020,359,419,179,969,214,995,203,015,489,636,696,938,294,
231,597,612,707,658,162,292,283,613,109,835,300,756,616,439,097,015,238,951,
370,003,110,658,846,701,520,989,652,139,473,735,105,435,336,465,710,160,772,
840,155,455,269,427,540,675,263,760,138,351,033,203,286,501,848,016,455,599,
202,675,292,434,021,017,088,377,999,400,729,353,214,767,680,680,752,433,033,
295,089,893,100,411,538,339,317,099,556,833,191,420,239,105,136,546,604,758,
348,093,320,165,373,020,060,659,418,011,130,256,758,136,038,981,964,621,863,
358,293,617,513,155,008,042,192,158,966,307,628,340,944,638,199,735,380,083,
611,861,850,653,380,540,489,994,460,640,784,236,795,824,271,422,369,943,990,
934,352,121,868,917,860,655,926,124,632,451,469,038,101,177,455,480,663,845,
468,898,006,107,495,476,002,875,870,376,807,909,595,593,566,445,925,826,159,
926,658,050,163,810,771,567,155,540,504,452,812,288,248,621,064,690,250,998,
311,836,426,502,608,129,037,185,347,780,621,793,741,463,090,302,254,837,138,
461,727,963,514,171,598,888,214,258,180,504,387,609,483,004,112,955,657,500,
068,244,056,384,597,214,451,383,748,633,804,973,159,808,652,886,014,439,752,
999,177,485,866,775,409,933,923,126,628,767,082,481,922,248,339,120,594,032,
018,027,171,780,629,722,508,794,169,213,490,267,847,149,032,488,727,130,385,
538,217,365,105,084,590,285,271,881,306,898,955,412,874,969,505,125,144,946,
280,288,973,569,565,509,748,159,465,437,666,290,715,584,851,947,339,815,817,
445,527,259,556,623,576,124,578,162,260,781,148,788,088,375,372,527,386,644,
525,773,525,666,055,218,120,271,003,149,538,117,128,266,846,730,088,452,536,
850,899,810,137,478,081,158,860,371,257,046,274,788,644,306,115,994,263,877,
140,938,749,863,060,969,014,963,491,032,604,322,699,828,229,642,820,929,995,
169,435,612,074,889,220,770,294,858,696,993,908,883,289,663,420,934,329,311,
991,291,701,411,135,934,612,222,269,340,952,551,899,538,367,126,589,809,083,
116,209,354,464,221,049,736,460,197,444,016,379,965,038,629,032,665,989,247,
272,928,718,696,617,104,370,105,534,719,220,714,360,366,707,195,859,001,706,
263,543,317,002,518,133,488,825,443,238,885,181,231,157,245,993,607,462,637,
618,107,256,147,486,961,287,081,737,444,472,775,881,392,377,353,277,648,388,
301,293,191,241,159,907,552,502,246,813,732,182,926,741,971,751,759,348,111,
565,102,891,083,513,502,441,419,797,018,641,614,408,688,480,675,294,587,813,
473,408,989,741,041,989,460,269,582,382,325,310,455,683,628,026,112,813,731,
890,666,803,394,225,414,246,209,948,577,280,420,992,285,143,841,436,107,719,
304,529,494,778,285,636,413,344,146,994,341,477,553,863,346,262,837,605,397,
028,246,949,083,698,543,016,405,953,672,099,991,042,360,638,344,523,605,571,
362,111,371,979,074,378,188,363,446,902,295,557,533,895,995,454,781,464,937,
486,143,184,940,530,194,315,799,449,777,431,564,549,928,743,994,897,094,511,
603,817,435,565,230,430,635,797,397,575,419,554,972,172,465,338,076,229,199,
899,350,058,186,043,019,957,654,645,868,855,166,394,684,617,681,499,727,922,
218,569,975,517,830,561,768,963,661,614,191,651,382,939,199,982,368,974,600,
751,762,206,391,744,721,014,806,919,717,751,962,833,066,421,408,972,698,084,
946,184,611,258,707,738,088,385,906,655,188,391,415,004,775,398,986,579,480,
507,270,422,039,597,277,693,033,298,900,610,339,662,863,803,793,817,346,724,
739,177,051,343,276,012,817,894,180,773,240,299,286,151,527,309,495,615,493,
517,070,760,783,440,647,661,844,600,425,308,713,796,168,670,460,904,940,408,
092,034,798,694,468,473,043,874,428,165,518,072,520,247,775,087,039,929,994,
827,017,462,241,515,549,913,877,088,907,934,768,343,848,442,899,209,352,046,
845,599,551,685,496,070,859,138,599,303,703,756,909,034,530,142,306,106,683,
842,106,358,087,171,159,482,600,374,792,285,613,825,554,160,459,791,881,497,
622,212,015,883,451,701,046,201,967,991,969,129,414,164,168,788,911,404,809,
426,683,901,277,824,790,567,249,518,111,985,305,307,959,393,600,593,373,710,
023,603,487,521,913,295,567,056,810,192,100,502,847,312,505,757,570,856,025,
908,720,278,664,831,754,899,735,878,693,355,926,461,497,412,322,544,983,012,
433,353,744,431,365,968,424,341,903,350,264,545,988,049,649,618,676,096,952,
093,923,897,077,514,956,883,667,015,067,092,626,592,247,408,822,921,860,098,
655,303,227,622,888,686,951,512,150,071,875,118,424,028,838,636,540,614,602,
260,830,998,762,944,106,254,406,298,820,449,391,255,820,827,820,451,574,897,
984,620,233,101,026,916,543,536,178,287,879,413,067,788,458,138,071,913,570,
079,631,199,938,739,580,360,810,299,841,250,718,880,515,950,318,806,284,543,
640,821,485,924,682,063,143,410,965,691,736,760,356,895,605,477,937,580,794,
595,284,115,913,039,392,441,379,580,910,254,999,066,769,725,649,030,322,648,
762,972,586,469,454,956,960,568,535,483,596,056,554,620,949,094,621,104,830,
755,966,087,506,642,569,352,307,515,876,648,911,358,478,182,473,875,578,099,
813,928,023,342,936,183,632,219,343,773,208,754,351,913,267,894,772,406,049,
239,742,707,718,206,866,749,425,031,723,461,796,476,129,551,835,563,285,662,
375,413,610,119,434,958,554,543,902,363,180,874,869,294,474,408,166,110,379,
546,860,153,143,290,201,336,344,025,000,512,543,510,493,946,491,710,641,538,
446,127,706,061,857,172,809,576,172,835,957,119,961,561,623,753,661,855,259,
459,882,803,761,905,337,729,018,596,612,731,236,147,408,665,957,413,289,835,
041,247,758,051,008,599,320,021,076,103,707,454,615,726,303,473,981,355,921,
044,062,928,845,012,842,221,748,602,827,767,425,520,144,857,547,496,808,564,
223,321,889,260,022,242,190,159,320,331,050,275,172,467,131,875,744,861,456,
491,692,672,518,906,087,851,018,220,087,894,802,473,339,627,376,492,723,107,
899,803,667,064,192,926,100,228,303,831,947,551,463,236,908,570,449,871,842,
844,363,667,313,842,016,133,865,216,891,459,762,218,979,153,321,024,085,009,
558,852,012,375,115,071,285,429,601,303,774,430,189,339,554,299,876,168,488,
000,754,027,827,709,747,612,850,647,659,274,317,568,757,597,799,800,992,938,
625,205,713,238,120,628,667,439,374,300,295,632,289,525,758,506,124,041,332,
441,694,291,082,442,288,699,730,821,694,667,060,415,767,243,598,677,324,121,
680,601,521,721,008,847,363,002,798,507,725,580,577,051,492,787,289,774,559,
006,037,590,248,863,047,028,549,330,310,061,892,732,372,921,878,890,488,397,
293,608,806,951,236,057,899,251,600,459,878,053,821,019,992,488,166,641,866,
820,535,227,678,553,230,371,868,209,244,969,830,298,892,976,793,741,635,246,
762,642,080,164,871,734,661,529,969,130,435,789,831,425,915,597,445,723,280,
996,922,894,216,929,504,818,529,421,724,605,708,750,077,784,612,113,098,355,
881,331,301,506,387,331,211,332,909,681,828,947,975,408,138,373,235,564,910,
011,715,539,884,294,990,693,609,638,381,567,848,153,988,809,576,740,926,391,
294,399,662,987,342,196,215,521,317,707,316,177,354,753,874,269,042,337,857,
429,729,156,062,625,224,971,722,095,870,221,050,025,591,910,176,806,457,673,
297,511,608,468,736,690,356,494,009,168,652,939,817,283,201,661,323,236,256,
250,377,433,485,978,561,756,685,749,121,187,795,746,613,794,408,579,077,211,
830,426,491,901,515,003,943,228,394,261,310,741,500,217,587,417,356,398,568,
483,038,856,341,912,320,878,879,103,783,010,362,529,568,579,313,710,506,014,
567,108,664,411,414,163,373,931,061,010,429,207,963,431,692,311,361,256,373,
520,718,046,997,227,356,551,893,374,359,495,885,800,845,971,086,544,092,984,
580,094,059,518,103,369,535,228,044,490,299,946,890,029,740,435,550,630,773,
091,287,685,917,417,101,850,651,830,452,910,507,242,107,095,561,472,939,838,
363,857,679,784,010,618,541,153,030,192,599,523,677,173,078,224,207,733,321,
313,163,372,243,657,032,151,371,046,601,742,024,955,519,297,466,634,956,817,
706,777,563,682,762,907,343,030,005,559,137,244,759,028,083,922,973,482,680,
785,943,649,235,821,879,120,984,031,710,797,302,071,092,785,512,407,809,842,
494,116,168,101,949,341,660,848,965,024,641,001,357,997,018,980,527,556,817,
419,961,453,573,765,820,133,839,586,687,637,539,737,787,138,906,231,784,061,
743,354,029,511,447,159,705,719,980,338,511,586,422,421,516,913,611,351,161,
968,073,717,407,135,210,944,804,702,074,313,957,874,773,588,318,034,518,549,
702,735,176,731,435,160,044,736,862,233,147,777,621,960,368,628,624,683,878,
570,387,458,549,670,977,960,934,080,571,316,945,818,630,154,638,559,337,717,
531,769,506,528,389,256,477,700,765,837,816,243,972,056,042,905,884,457,166,
275,541,265,507,720,547,916,397,530,140,895,924,716,989,970,436,047,392,114,
121,167,446,137,398,953,737,033,647,362,112,324,824,242,305,867,447,159,449,
430,689,961,983,935,442,260,499,539,400,180,513,976,081,574,964,593,364,567,
609,325,888,017,226,262,751,144,449,120,246,498,170,087,256,861,789,603,329,
660,566,806,662,533,662,613,213,407,436,510,411,680,465,489,458,999,331,546,
526,246,404,985,207,204,818,492,937,296,572,619,440,536,743,154,089,308,641,
765,415,790,873,757,168,151,508,628,841,619,247,314,104,749,290,605,564,789,
283,833,383,764,148,545,755,888,743,278,640,443,711,634,894,753,469,246,418,
152,488,771,946,525,189,563,039,089,446,708,921,564,601,814,814,988,864,007,
412,019,724,666,208,829,096,646,176,713,354,638,394,811,245,247,434,965,715,
574,146,607,042,465,065,612,731,285,592,618,173,991,395,312,688,674,341,783,
533,348,236,746,877,457,057,431,378,275,429,410,932,723,955,455,744,504,165,
621,903,446,264,459,017,875,947,890,253,275,366,702,193,528,516,967,735,537,
689,545,362,869,250,027,430,098,392,531,137,566,582,982,316,781,667,128,392,
583,650,643,722,787,566,761,871,151,780,679,369,493,060,416,800,530,717,915,
238,268,543,450,630,921,066,635,399,877,781,756,214,207,548,214,850,726,778,
853,261,243,893,451,044,765,286,696,034,164,809,601,212,798,947,519,598,707,
906,366,265,278,059,866,494,111,046,968,683,960,138,804,533,544,184,567,314,
944,921,266,230,002,512,478,629,580,407,813,369,143,341,680,161,629,002,729,
537,321,613,638,108,033,648,629,802,020,657,355,525,801,692,749,598,052,706,
678,386,265,661,420,842,215,215,008,968,512,829,456,845,772,231,085,042,767,
053,094,956,888,066,684,637,666,483,542,848,263,874,515,729,235,561,283,058,
656,613,184,458,009,469,777,311,226,599,601,623,661,239,901,787,062,877,863,
345,765,720,303,241,917,071,097,815,252,936,039,709,651,730,365,686,113,812,
978,697,998,962,833,826,377,084,481,398,024,835,663,195,837,955,962,697,649,
941,409,688,910,596,477,563,008,586,023,426,380,591,949,861,156,834,070,788,
848,094,483,350,378,909,756,034,359,817,722,641,505,650,246,781,182,999,789,
154,019,729,757,382,282,717,371,558,523,808,425,309,174,597,987,699,295,621,
470,576,037,621,437,584,913,373,838,020,246,636,086,750,752,546,640,934,854,
816,918,478,276,990,668,884,877,217,781,082,886,630,873,952,938,533,470,343,
677,462,309,576,732,821,847,061,356,920,914,310,084,901,367,324,156,642,351,
764,492,287,016,615,819,973,735,718,682,170,162,255,903,350,691,059,950,088,
176,315,361,581,485,281,710,989,031,218,916,556,855,258,801,535,810,660,815,
503,618,084,552,335,915,878,820,634,779,958,133,560,259,581,586,487,155,476,
986,734,928,135,511,132,273,503,370,152,997,302,723,465,488,575,716,034,535,
711,728,168,680,071,980,535,565,631,266,580,953,728,283,040,139,736,034,920,
118,519,860,135,183,924,759,347,596,093,739,742,638,652,034,000,343,856,866,
178,498,713,523,593,017,772,239,016,045,156,738,334,361,036,460,811,391,279,
942,381,598,842,449,336,027,409,936,254,368,147,272,974,085,020,232,584,319,
498,407,178,550,634,672,709,431,865,324,091,451,060,552,282,245,254,266,764,
104,046,008,117,631,555,675,935,592,684,243,469,176,366,275,470,797,713,835,
189,573,567,569,336,125,080,235,116,882,527,247,036,260,991,737,745,126,126,
905,967,729,528,790,981,809,538,106,717,115,916,080,672,977,919,632,728,676,
119,527,756,312,367,342,202,154,380,393,307,452,465,155,435,321,511,647,242,
933,552,496,503,279,154,973,048,140,377,266,536,940,161,229,216,638,110,364,
158,757,744,414,374,451,665,469,335,327,312,562,855,458,899,898,785,797,367,
104,599,045,921,679,413,316,658,162,190,792,949,907,780,620,831,834,224,509,
485,584,236,611,842,518,031,395,126,670,636,204,630,308,516,716,412,022,312,
069,700,193,847,849,530,906,239,833,765,055,649,277,781,125,752,443,778,456,
846,508,311,511,511,478,324,167,767,887,818,443,152,701,527,211,851,100,437,
058,445,992,321,780,476,811,764,331,484,328,012,745,720,929,986,823,315,608,
645,504,942,465,868,015,674,963,188,532,813,808,399,663,198,483,774,889,455,
438,425,342,265,170,444,441,873,282,839,243,898,646,339,248,431,354,357,695,
545,728,659,152,915,569,434,139,692,542,580,570,275,900,787,858,485,287,720,
032,545,329,586,763,644,463,573,490,209,682,239,485,091,921,161,249,459,085,
875,489,021,200,078,612,894,976,936,773,975,408,143,561,109,401,211,592,766,
395,613,789,359,947,573,168,890,476,348,449,965,074,689,694,559,268,959,153,
762,546,043,507,538,914,115,477,595,129,891,928,370,562,019,263,066,813,290,
334,087,225,980,599,213,947,012,403,502,588,212,283,263,982,135,259,543,282,
295,333,631,142,937,484,596,181,407,012,976,304,161,056,999,709,875,633,522,
291,396,814,407,902,955,068,861,135,814,744,450,986,606,127,434,183,516,388,
370,334,058,871,767,126,802,825,311,524,358,611,009,584,582,369,750,357,015,
752,626,112,176,746,266,753,717,444,704,309,910,900,997,784,379,602,609,676,
329,072,358,350,946,785,138,311,768,109,768,186,560,765,927,179,853,177,338,
470,357,135,773,147,307,535,238,147,452,244,708,992,340,239,617,780,498,403,
670,320,914,233,998,560,633,410,249,649,796,090,638,816,479,543,014,131,387,
021,187,707,806,142,129,936,673,285,705,838,054,800,714,635,724,893,135,979,
570,529,749,462,995,878,397,571,679,302,368,752,162,582,937,666,720,442,930,
504,767,535,305,237,887,065,843,500,593,120,503,689,156,853,928,212,759,313,
902,010,380,217,990,855,399,994,230,432,909,246,385,903,516,855,147,007,776,
581,409,983,385,257,642,143,607,009,310,431,001,478,186,110,320,150,920,124,
470,536,284,609,526,963,834,309,360,412,021,408,922,988,575,758,470,312,247,
120,376,501,920,640,088,455,033,862,495,929,747,431,212,454,149,868,719,563,
374,250,866,012,633,540,269,206,463,660,078,722,307,480,054,524,347,670,700,
114,473,042,217,200,498,460,875,942,871,791,773,581,642,002,545,563,251,964,
337,469,934,286,903,322,630,850,141,874,808,932,249,912,466,642,256,475,364,
123,081,724,043,969,592,331,303,869,693,984,082,793,571,344,370,936,121,563,
232,076,204,472,001,149,175,794,327,958,103,559,168,547,802,742,213,682,560,
648,472,076,064,769,686,199,145,442,684,241,497,792,513,104,549,194,595,979,
028,946,913,924,228,693,276,835,706,626,468,411,813,110,983,952,571,615,962,
139,333,235,162,579,833,590,768,182,775,864,745,859,594,005,294,089,390,087,
635,056,158,148,072,315,496,723,891,498,240,307,597,304,427,514,920,063,227,
399,374,835,682,167,666,366,875,159,551,425,313,189,369,093,816,842,758,665,
599,649,806,687,107,143,526,155,708,161,770,580,713,429,856,641,097,677,467,
717,469,635,431,651,259,651,994,338,113,220,062,886,028,590,402,366,917,578,
699,397,794,357,040,912,331,200,655,461,312,696,859,408,541,207,674,970,789,
983,390,836,368,776,615,840,049,377,988,647,637,951,354,006,653,321,640,377,
891,222,255,812,767,779,193,148,168,035,710,041,382,566,148,405,786,687,861,
508,964,887,300,663,376,934,083,546,540,082,136,303,275,004,009,593,324,741,
830,313,223,553,620,969,416,851,135,044,731,988,022,158,731,854,855,174,521,
565,331,285,484,897,376,833,343,456,357,203,172,892,911,166,998,022,003,111,
396,465,786,429,236,574,136,717,765,088,274,060,864,384,498,089,941,927,118,
338,487,076,798,731,980,387,051,133,781,090,792,684,810,617,346,544,380,675,
147,436,666,057,519,145,320,449,661,137,499,925,218,723,098,913,152,307,967,
377,947,321,182,079,701,361,757,724,040,708,205,674,957,796,470,774,537,333,
182,029,001,097,430,297,843,797,102,068,963,023,640,191,075,521,331,417,927,
085,919,761,851,265,783,005,032,185,042,589,493,755,485,825,128,535,769,750,
905,508,947,156,820,242,623,935,768,326,132,024,653,974,437,299,569,637,613,
221,822,158,634,046,089,174,094,781,734,845,143,947,918,492,896,992,092,236,
692,945,571,442,860,832,121,263,964,325,550,599,916,210,457,774,052,408,747,
865,350,984,332,926,600,412,785,902,012,635,788,692,155,543,461,016,370,349,
675,530,112,870,283,438,038,696,001,973,330,753,828,817,640,269,542,953,672,
159,508,941,502,054,354,076,004,340,521,655,944,488,450,407,571,186,123,773,
668,268,088,637,515,835,342,354,540,057,113,589,507,847,957,885,258,072,581,
231,173,975,114,758,158,870,738,888,813,610,509,186,376,919,017,809,492,510,
828,314,329,028,173,936,278,040,463,397,236,639,859,500,415,306,096,559,336,
878,409,246,908,718,768,701,514,681,411,126,046,509,216,482,671,789,108,153,
006,007,374,633,958,395,013,466,816,470,411,325,391,614,137,593,640,689,027,
952,530,618,788,381,810,003,577,926,394,973,026,403,513,777,428,449,173,358,
466,408,738,874,532,788,808,312,754,944,425,331,448,783,029,968,513,121,368,
016,158,630,747,041,966,974,685,371,612,564,480,950,749,197,516,633,708,844,
749,893,960,075,847,353,449,072,438,326,288,828,141,925,551,430,480,201,777,
126,607,073,065,530,564,179,227,854,364,491,524,540,844,524,475,900,266,919,
666,458,189,775,695,714,259,668,980,817,126,719,564,928,170,550,772,722,297,
436,603,805,036,237,126,888,100,453,319,808,941,940,355,557,797,305,330,759,
838,081,843,538,581,225,912,414,774,069,736,116,777,984,871,988,105,852,380,
787,907,233,426,204,034,006,717,129,769,351,734,332,298,140,539,757,057,705,
499,015,153,499,536,331,409,923,949,827,375,500,620,692,179,532,033,948,409,
985,833,948,523,206,592,074,215,619,583,604,493,541,852,634,888,308,817,298,
674,117,377,652,539,735,136,434,911,673,897,791,037,264,065,027,539,260,521,
137,796,225,928,861,993,382,597,145,609,483,911,228,457,765,045,642,663,739,
038,579,969,819,430,840,563,773,807,190,736,503,717,608,336,013,936,716,503,
031,478,305,491,788,214,420,751,803,517,223,680,729,234,712,086,403,187,420,
679,727,261,944,499,144,298,784,854,867,176,595,504,439,919,605,638,736,619,
478,689,340,502,375,702,852,095,053,860,644,589,527,601,511,912,129,486,850,
592,085,349,535,330,799,458,612,350,210,169,329,679,893,445,327,342,324,164,
250,939,297,513,545,055,741,988,461,266,266,083,370,994,942,216,785,168,522,
311,752,986,658,237,511,023,967,989,927,511,314,261,575,458,827,115,767,027,
874,573,203,162,567,447,728,940,284,151,247,723,743,403,100,113,854,553,027,
139,310,207,141,311,021,881,087,085,805,474,820,241,579,014,163,474,245,085,
047,542,475,616,918,099,905,363,844,549,377,812,057,856,938,124,824,699,426,
525,911,993,173,276,646,635,140,327,591,834,726,612,539,674,220,964,885,339,
102,649,591,535,984,543,769,181,707,543,160,683,518,689,748,801,140,136,203,
894,450,649,913,653,815,324,332,266,075,880,175,209,371,860,025,651,954,848,
471,236,058,125,286,280,796,837,606,975,652,119,346,228,479,313,608,664,377,
030,292,951,552,392,289,629,713,612,181,400,667,958,294,616,936,852,203,319,
278,585,660,183,481,385,356,197,565,004,391,348,707,711,024,446,336,111,496,
529,309,987,247,081,587,956,177,403,430,133,150,343,161,458,899,636,453,594,
378,161,422,421,663,219,328,907,531,596,672,367,354,867,869,891,990,291,085,
110,125,120,014,828,147,192,407,444,549,726,301,155,420,905,922,016,224,192,
124,870,161,766,929,487,524,514,161,643,335,255,765,267,596,905,008,360,100,
242,091,537,456,764,349,245,757,082,361,094,904,852,461,052,822,710,051,522,
244,689,076,482,664,489,067,833,537,190,175,432,874,297,319,751,468,576,147,
047,225,905,723,049,978,071,892,606,856,020,457,613,603,892,470,587,909,673,
044,786,010,285,382,526,720,572,458,497,996,617,572,405,304,408,918,135,165,
607,193,299,798,051,352,682,096,647,798,314,734,020,160,048,976,040,078,508,
982,071,920,950,972,228,029,271,563,295,121,231,293,286,556,859,618,155,578,
443,183,267,962,853,552,672,845,954,053,410,339,736,267,942,499,423,298,499,
842,332,249,638,892,968,301,202,372,076,073,593,756,264,076,860,330,276,641,
872,140,519,292,445,226,122,959,842,875,568,901,320,961,928,095,854,706,246,
707,448,618,252,493,569,070,828,028,185,893,280,425,975,420,896,949,574,286,
842,840,135,794,196,106,507,290,436,662,180,853,584,716,968,411,078,968,268,
562,126,597,071,178,303,873,753,271,597,961,921,357,296,931,583,503,198,351,
842,153,527,915,094,397,021,442,051,901,205,389,318,943,463,307,856,542,040,
282,171,157,275,485,790,444,358,103,746,454,931,367,674,623,080,050,949,536,
901,012,099,733,900,812,510,019,614,931,569,534,492,175,222,450,515,881,027,
357,940,402,302,146,273,305,569,747,927,945,616,347,335,257,395,886,655,420,
221,283,721,290,947,555,184,717,533,367,815,193,789,268,332,464,516,055,379,
036,662,165,639,116,639,877,084,571,849,248,122,659,110,905,512,530,742,917,
091,837,285,633,148,551,405,528,218,128,341,833,256,166,157,248,144,457,404,
090,824,583,802,711,227,070,755,734,764,257,169,539,182,191,270,656,753,800,
068,276,301,141,122,481,968,528,067,434,219,233,891,191,576,821,754,754,825,
144,792,490,449,079,850,564,774,681,018,305,177,614,517,998,183,430,486,123,
800,470,504,141,837,949,498,830,916,268,345,601,075,539,177,670,209,574,338,
215,432,354,648,518,504,107,420,186,315,341,022,194,151,841,395,007,347,886,
119,910,391,441,299,375,050,870,815,695,793,890,735,090,696,350,885,450,789,
839,032,561,493,830,186,733,165,246,208,363,960,748,510,426,176,538,680,229,
392,582,955,484,674,692,095,969,494,356,052,493,721,662,555,970,757,273,744,
503,543,845,109,667,311,537,721,217,098,117,354,461,073,037,664,313,356,354,
472,073,513,792,834,724,729,814,475,197,543,970,286,787,029,040,670,818,229,
284,921,980,268,688,670,444,529,311,588,646,819,699,059,838,795,299,105,923,
259,660,798,148,004,708,303,003,489,282,717,293,684,547,857,953,997,121,416,
727,456,312,318,334,161,013,838,221,999,413,983,595,028,991,198,867,087,325,
595,868,595,321,227,388,459,081,081,787,920,429,551,309,835,826,888,436,693,
160,922,217,094,977,142,106,164,605,697,771,371,713,920,918,735,773,310,322,
705,724,685,131,337,089,473,289,494,614,162,322,607,697,761,989,961,872,724,
021,894,055,576,017,858,896,366,230,768,687,864,228,269,736,239,612,744,256,
070,640,011,354,077,009,473,497,431,177,064,133,716,695,045,837,626,931,821,
397,915,937,194,538,270,911,919,545,297,325,351,908,760,369,052,843,492,894,
942,747,294,630,244,878,838,600,593,688,497,984,542,567,556,358,157,483,853,
833,281,341,578,981,248,812,085,979,299,764,673,141,537,627,136,290,012,635,
990,989,531,113,935,695,263,391,743,798,863,350,606,673,287,874,065,486,730,
338,705,659,872,539,459,326,674,379,511,359,161,069,466,864,370,122,924,708,
287,365,447,051,612,394,778,148,739,007,983,682,379,363,769,999,145,534,832,
722,596,472,026,104,998,570,249,331,243,926,762,007,220,317,089,697,509,694,
149,647,407,677,372,930,815,247,902,942,951,071,698,334,259,685,763,338,492,
610,801,856,060,237,945,804,995,650,515,363,820,462,239,766,565,192,719,203,
242,241,227,067,155,468,673,020,127,191,553,051,392,443,615,063,536,783,125,
864,622,874,320,873,776,310,511,680,397,836,269,854,421,614,126,984,250,751,
412,934,536,086,766,075,922,467,955,525,214,766,439,910,713,303,067,907,948,
818,469,325,929,051,195,413,844,041,387,007,968,124,631,067,556,815,453,249,
016,965,216,564,755,829,551,400,310,038,210,426,680,588,036,161,416,482,739,
592,087,760,996,468,459,391,326,620,458,829,901,358,283,972,029,235,435,829,
098,211,317,985,676,738,816,958,820,122,700,813,240,335,061,456,122,024,080,
583,832,203,185,551,097,300,302,326,804,552,656,513,915,441,589,399,435,377,
018,046,662,087,966,551,444,780,154,609,094,062,143,249,402,392,214,426,850,
779,204,045,011,874,894,973,541,451,549,560,532,534,277,652,397,541,765,080,
378,264,584,208,604,943,221,800,347,738,089,381,875,417,692,655,343,874,757,
515,660,597,983,739,002,321,783,781,184,653,649,366,453,970,214,374,837,253,
075,663,157,844,257,716,856,629,550,836,800,896,171,238,159,221,454,987,101,
759,631,921,554,217,533,543,944,465,611,298,549,032,237,631,896,177,815,926,
720,195,398,525,664,698,136,374,791,155,197,220,519,108,236,540,075,420,060,
546,974,587,058,249,257,430,051,408,495,571,506,500,293,751,187,327,688,194,
228,928,995,677,583,823,550,008,886,974,865,199,788,724,794,685,957,074,125,
491,798,815,466,304,063,704,675,081,096,892,729,608,722,486,280,755,435,347,
318,238,893,405,210,154,950,330,349,012,822,896,607,487,114,075,579,374,262,
474,920,171,553,031,062,165,509,793,647,262,199,765,679,768,025,825,679,922,
755,682,930,304,819,566,302,674,226,021,345,796,637,145,399,021,104,624,362,
951,399,895,081,329,549,938,426,545,303,408,194,422,270,973,207,855,188,079,
310,809,687,667,536,299,010,579,193,795,143,738,394,615,766,834,397,907,407,
424,809,629,198,123,254,907,304,497,408,099,591,455,264,885,019,955,928,897,
474,788,402,978,172,121,359,407,313,949,199,187,283,533,675,269,953,775,696,
617,865,651,374,153,681,523,473,710,497,762,266,529,130,348,758,031,151,518,
427,938,534,278,191,547,529,355,887,815,559,488,217,424,965,487,122,909,577,
003,364,174,612,012,394,158,407,133,741,848,772,193,399,005,730,146,481,944,
106,573,958,237,557,443,906,667,220,020,475,226,365,694,439,356,308,896,778,
031,471,458,340,165,809,158,885,984,907,138,533,783,927,618,271,582,474,781,
332,595,145,413,511,095,511,206,475,339,600,120,659,268,355,779,513,816,637,
367,272,003,864,693,122,748,295,992,235,140,480,406,425,606,736,793,437,245,
971,760,306,995,599,807,512,195,648,779,731,323,927,213,580,184,268,394,113,
271,116,385,717,327,353,561,857,936,668,544,584,482,965,548,474,853,485,468,
548,288,321,718,911,875,287,603,048,287,063,387,415,131,481,022,876,646,838,
943,157,205,536,709,158,573,642,378,035,010,794,949,902,009,507,975,527,963,
630,927,300,336,394,598,545,106,195,379,746,819,819,805,862,225,209,206,540,
012,261,015,534,780,971,924,088,241,212,805,107,761,924,791,486,098,714,066,
065,154,004,821,677,644,073,528,229,617,809,819,504,147,307,664,344,279,312,
541,604,907,394,211,485,025,024,521,177,800,500,490,152,920,273,107,047,752,
379,433,803,004,433,148,726,440,559,623,162,284,551,200,747,210,855,176,405,
468,931,642,120,636,189,734,014,167,919,871,694,372,512,023,606,977,813,115,
553,350,621,820,827,012,490,014,008,138,878,049,110,273,412,292,942,315,893,
777,457,648,784,098,488,753,791,378,152,412,583,026,324,369,037,403,239,276,
535,224,802,630,963,219,151,442,531,070,028,494,641,695,493,274,387,009,658,
002,837,763,377,601,307,613,908,088,983,335,565,193,307,020,740,591,092,442,
568,453,280,656,043,844,841,363,098,284,966,930,960,452,804,828,400,169,092,
522,801,657,148,457,248,161,516,900,259,377,962,973,993,565,025,312,542,781,
948,630,196,916,179,671,120,724,254,544,780,932,735,086,924,028,393,502,890,
235,269,534,068,530,774,762,657,644,119,902,888,774,709,883,918,513,705,690,
961,849,855,102,839,384,897,011,692,683,464,935,126,542,682,102,942,361,424,
037,228,341,628,202,342,962,948,235,503,601,987,316,952,916,374,231,970,828,
334,878,431,334,664,636,109,927,521,313,036,769,945,028,362,918,560,759,652,
957,532,998,525,149,715,581,222,858,984,821,004,644,350,889,812,366,917,461,
026,815,907,014,606,094,048,218,220,101,035,130,192,121,352,183,771,197,312,
515,766,543,589,824,179,373,444,809,441,984,633,479,777,594,013,750,915,263,
929,297,596,365,962,843,145,277,645,404,568,841,118,940,194,618,359,370,638,
598,972,320,285,176,810,043,163,304,794,927,727,470,941,051,525,495,521,081,
547,873,779,110,824,289,528,095,089,435,787,957,569,105,670,195,962,165,728,
786,263,893,592,648,797,718,895,007,986,762,691,464,587,634,190,230,777,054,
112,461,924,992,092,002,228,085,842,444,443,381,492,552,574,689,866,281,486,
810,121,619,578,106,488,765,016,061,827,922,772,757,447,423,485,264,991,396,
588,735,616,992,597,695,769,893,774,984,914,161,971,481,780,888,893,396,815,
717,251,386,201,144,615,486,842,592,040,785,642,247,358,043,487,068,348,346,
314,849,294,935,080,788,688,293,410,997,031,860,926,560,997,430,617,088,332,
418,369,956,420,030,430,745,924,872,680,074,951,594,524,172,223,909,747,541,
242,864,038,527,540,929,984,786,324,260,316,817,455,199,927,781,104,446,177,
223,519,349,068,268,995,895,227,562,556,940,840,024,777,230,132,197,509,601,
046,239,866,881,283,693,877,230,753,502,100,972,202,439,638,449,286,988,655,
672,108,096,456,201,815,957,205,186,138,432,258,990,485,549,665,250,963,509,
985,860,615,932,036,409,929,753,543,381,107,026,895,986,432,354,915,194,213,
702,343,879,386,594,561,343,057,358,347,075,181,526,616,288,276,914,973,270,
834,930,212,356,791,304,868,385,464,194,753,072,409,407,901,607,722,994,836,
089,710,362,405,069,545,127,111,740,127,566,106,983,869,001,421,636,112,651,
509,741,341,549,504,678,450,330,687,618,118,450,650,510,391,176,023,107,515,
872,204,335,858,544,684,093,691,527,623,201,207,133,049,070,081,725,742,169,
909,851,925,778,432,836,433,914,196,309,361,597,360,760,224,400,466,381,715,
491,417,724,423,510,197,870,834,611,514,089,277,566,907,692,803,387,161,946,
004,479,755,217,412,525,807,733,925,372,261,756,695,060,772,254,079,997,530,
948,157,576,092,988,489,836,475,321,259,850,398,631,763,666,271,485,746,062,
085,335,281,009,658,394,607,292,495,926,607,990,445,392,680,380,293,327,441,
751,995,340,563,026,795,120,520,776,413,760,339,978,460,209,963,345,933,246,
949,157,876,144,705,042,097,507,163,773,699,101,173,343,942,912,828,936,896,
326,169,364,899,989,355,112,100,757,413,731,631,734,546,964,114,904,615,083,
810,534,557,349,855,024,704,754,416,785,885,915,285,585,383,792,557,028,491,
264,398,695,023,201,408,676,323,074,511,837,504,483,673,637,904,552,898,934,
889,809,421,136,046,976,082,537,998,180,155,979,474,650,650,645,390,285,115,
821,603,403,396,766,626,887,106,360,494,135,818,819,762,382,150,568,265,611,
653,741,303,789,089,119,005,156,186,933,012,405,979,715,850,175,681,493,361,
992,124,346,433,561,309,276,710,526,052,934,295,933,070,448,366,555,299,637,
441,653,679,889,589,926,427,432,696,367,589,957,600,833,692,972,257,373,192,
791,105,241,297,382,422,933,026,987,749,416,569,617,487,699,659,726,118,608,
979,879,097,166,665,820,133,538,833,484,812,762,656,274,278,563,887,518,397,
106,284,041,150,300,919,563,663,638,134,559,593,651,982,091,154,504,978,567,
637,532,236,873,556,135,092,906,505,272,902,513,807,547,974,466,648,181,193,
854,093,800,973,479,756,013,842,272,869,985,229,788,070,846,917,847,208,774,
743,449,466,951,528,179,937,359,442,311,410,124,984,636,839,535,893,348,253,
822,202,861,589,294,590,905,157,878,514,664,851,299,205,910,826,410,510,345,
078,290,754,277,015,071,715,700,959,087,287,012,894,714,798,517,363,424,058,
044,980,734,901,870,865,265,321,234,090,811,620,117,964,585,514,469,281,724,
286,367,455,666,847,506,027,979,379,900,909,300,584,183,102,167,514,898,436,
645,387,057,794,190,875,037,811,482,298,278,385,979,951,377,770,640,649,114,
672,448,346,186,787,723,238,017,508,276,252,466,130,544,269,164,410,387,379,
066,518,664,704,448,876,562,506,246,774,675,716,646,575,028,647,699,058,964,
697,593,179,032,705,420,115,961,339,063,917,269,549,912,147,594,261,739,408,
110,972,148,079,268,542,436,039,662,592,024,643,011,918,315,091,366,623,881,
720,840,496,145,944,178,716,014,348,590,741,651,716,694,865,348,822,157,481,
658,701,712,113,973,039,622,679,670,773,421,920,794,044,911,618,801,600,314,
505,013,224,890,207,538,397,148,967,777,668,389,781,470,309,263,915,311,075,
451,263,276,463,787,775,012,278,342,263,056,522,270,186,494,699,731,057,615,
045,673,353,647,601,246,230,257,646,775,102,854,031,205,590,251,547,080,237,
369,474,358,704,851,071,743,442,407,691,864,437,286,474,243,470,100,371,781,
675,124,096,213,004,589,288,609,054,348,241,051,178,834,189,844,936,954,688,
928,969,386,710,079,166,896,793,914,982,639,624,190,725,785,265,275,830,403,
213,648,941,965,388,127,308,319,249,870,921,494,188,156,068,106,782,739,605,
498,507,903,144,433,884,638,711,671,452,489,811,648,278,334,199,177,462,786,
293,876,020,078,875,314,590,195,293,043,909,614,733,289,013,355,718,949,235,
356,964,531,568,196,004,515,001,586,103,175,012,501,067,258,077,908,032,825,
533,746,151,284,287,582,006,214,936,254,470,476,984,730,115,166,301,430,760,
145,763,774,640,168,499,849,336,675,305,785,904,964,938,109,441,611,356,453,
177,138,894,398,909,592,512,175,419,728,853,430,212,371,488,658,190,434,218,
543,468,515,176,489,639,738,032,542,772,832,858,058,067,102,749,761,310,697,
284,496,117,207,642,866,784,108,519,363,533,838,538,624,632,106,387,332,379,
371,250,909,002,703,678,384,040,848,073,889,078,598,726,200,787,796,801,715,
810,977,702,049,966,069,999,622,388,000,627,712,667,807,279,478,750,531,735,
252,635,559,679,681,436,664,866,545,870,928,834,171,050,614,608,239,391,811,
119,162,111,513,888,988,435,937,965,377,561,495,864,005,672,141,172,896,607,
986,375,007,611,134,120,532,285,011,275,704,743,957,285,278,906,976,945,789,
083,531,112,829,547,243,232,809,892,572,616,894,500,334,273,238,228,784,512,
286,863,909,507,405,137,787,572,827,313,730,358,109,956,785,207,512,515,009,
485,121,733,877,425,095,379,469,775,834,788,212,851,898,966,367,503,733,608,
254,099,942,120,557,461,392,099,381,245,718,497,098,506,737,401,473,201,795,
871,475,131,180,501,980,822,808,788,143,531,118,293,460,284,916,012,759,247,
297,241,783,943,476,904,204,371,485,990,882,673,299,436,807,850,596,964,520,
336,349,889,271,725,804,393,112,416,080,494,895,476,918,886,777,543,717,186,
841,637,581,358,677,548,520,428,924,424,841,684,174,349,079,611,554,100,792,
776,190,431,578,111,424,087,412,729,544,275,884,326,949,802,380,401,356,785,
698,402,428,630,782,136,347,067,881,264,947,141,320,219,126,052,678,983,924,
312,746,736,776,458,550,451,542,986,945,803,068,242,677,166,312,015,643,866,
059,646,441,386,840,596,620,933,167,067,327,190,104,477,241,254,975,378,821,
813,047,610,465,718,058,242,611,448,860,685,580,978,616,131,503,809,679,839,
991,390,091,807,864,606,804,775,260,251,824,852,847,066,264,022,722,106,378,
605,631,426,201,845,813,162,248,896,377,992,773,194,027,799,080,733,828,767,
614,698,938,696,264,928,371,931,765,074,479,057,504,810,401,377,118,369,568,
661,985,643,529,313,173,865,149,447,795,421,937,539,153,838,765,767,755,928,
656,116,229,690,627,960,216,064,973,809,188,680,776,742,305,206,335,409,349,
501,235,660,523,804,046,271,436,722,652,320,597,047,113,563,821,073,682,565,
506,311,560,631,777,127,723,052,032,367,282,542,654,771,265,996,940,198,665,
698,121,364,807,803,220,290,183,081,121,965,038,460,388,216,811,199,536,312,
378,015,600,439,334,208,464,870,027,165,898,085,985,839,204,867,157,736,660,
671,761,694,732,764,423,293,970,574,983,522,611,646,033,000,339,056,137,116,
911,527,250,165,737,359,251,448,165,344,316,557,086,008,902,686,636,600,841,
343,649,901,651,880,390,048,197,730,327,427,945,004,209,372,774,509,449,610,
977,867,202,401,201,445,746,437,697,929,855,439,449,779,315,607,487,539,417,
759,369,160,664,364,529,025,947,104,433,515,292,141,506,891,092,099,251,914,
874,784,810,842,304,456,662,093,101,633,763,098,248,482,111,749,641,880,082,
877,952,939,756,628,167,769,165,353,324,887,401,187,076,305,813,344,558,569,
116,666,512,606,070,918,646,469,678,143,891,390,003,062,454,994,923,770,970,
343,765,612,839,202,172,368,705,500,955,052,173,807,494,882,231,302,173,436,
976,216,708,399,321,446,073,593,273,487,097,795,969,447,519,774,123,902,246,
509,370,175,974,675,833,470,723,685,340,750,514,075,278,569,033,575,236,716,
067,315,550,392,893,264,967,746,808,638,075,427,992,732,738,963,326,024,678,
071,733,706,021,073,054,344,740,488,802,135,802,495,444,409,882,568,462,555,
993,111,091,204,518,962,338,807,219,718,170,741,127,142,521,684,266,448,166,
950,617,612,364,632,831,593,940,945,818,887,826,920,516,599,516,962,641,164,
177,399,132,984,924,098,765,476,479,277,603,667,125,420,568,291,460,198,450,
106,837,744,853,666,938,569,838,708,976,915,928,266,958,440,356,533,030,448,
752,557,392,881,590,591,095,001,916,564,379,653,714,446,620,074,313,098,933,
438,896,963,592,039,256,676,330,101,305,146,723,418,678,026,181,107,178,892,
042,519,152,225,145,774,296,275,557,783,760,045,450,288,564,820,549,447,036,
567,906,240,314,114,352,464,721,177,196,175,423,349,489,270,524,790,319,382,
360,120,631,167,313,672,755,268,129,883,255,876,768,906,820,739,475,969,704,
283,054,403,564,477,977,605,045,203,227,966,781,151,678,703,842,427,748,987,
804,866,163,444,766,635,229,060,831,587,345,831,448,015,713,679,304,626,808,
570,814,255,293,282,604,397,647,340,760,168,185,556,380,610,451,963,030,947,
142,559,753,299,749,706,520,207,080,460,003,970,730,855,936,392,770,307,696,
983,876,376,980,878,642,189,587,376,424,549,536,270,670,015,714,862,593,063,
177,516,528,523,092,665,012,129,364,111,684,122,383,658,694,502,517,056,893,
311,406,911,831,861,212,199,077,580,691,974,837,704,270,472,850,055,929,726,
548,542,030,541,797,827,362,236,444,015,291,766,057,555,487,909,303,822,001,
097,535,607,629,235,298,296,348,157,018,043,438,363,632,054,509,714,826,215,
661,535,511,406,294,081,375,397,972,907,233,155,412,303,733,195,592,971,197,
649,420,630,431,449,817,697,565,790,858,339,555,199,431,460,974,989,415,060,
047,798,626,281,234,541,727,163,584,928,070,319,055,849,272,150,584,189,221,
722,955,129,776,613,565,358,715,011,781,727,556,432,741,894,122,474,216,255,
096,852,911,567,748,985,632,782,386,694,282,778,203,052,646,363,165,917,205,
967,181,246,724,913,782,769,075,375,069,883,062,395,492,671,773,503,641,872,
699,365,703,523,272,481,545,048,062,259,614,489,124,449,248,861,800,191,631,
067,348,930,703,175,671,543,587,326,580,796,018,652,584,888,840,562,421,827,
852,145,828,434,241,109,479,382,017,052,931,147,982,428,350,553,233,341,336,
746,302,625,300,930,132,644,587,460,591,881,009,055,730,246,114,400,362,548,
431,570,494,558,133,342,870,063,031,303,642,129,304,707,401,935,871,147,772,
802,226,702,221,737,156,679,663,117,758,892,029,987,400,494,752,725,787,287,
104,962,687,076,483,849,566,891,833,297,857,923,417,932,956,398,219,783,425,
714,467,213,368,783,288,608,037,114,566,041,345,649,806,320,933,497,057,989,
855,418,106,473,946,979,313,558,864,098,732,229,358,338,035,958,541,494,523,
360,964,214,312,029,579,031,235,998,999,420,521,732,064,747,622,883,192,077,
981,545,051,636,937,635,820,945,600,301,148,519,631,764,585,922,328,259,775,
078,261,788,060,474,137,351,512,120,887,961,937,327,829,590,862,449,158,258,
331,944,712,658,023,205,369,663,890,276,148,178,023,605,898,464,192,619,807,
334,878,281,955,649,675,987,611,279,590,058,441,054,487,589,262,102,555,609,
697,650,749,112,742,195,767,743,823,830,114,642,104,213,957,323,890,140,922,
226,472,929,802,973,469,415,024,039,119,900,277,530,031,964,656,863,313,354,
644,313,401,257,835,715,137,951,027,918,735,723,165,884,657,866,154,690,429,
824,135,661,435,808,857,280,044,735,357,585,958,664,753,543,589,767,380,070,
572,880,482,418,906,168,429,394,820,387,470,368,972,552,950,720,556,191,834,
997,405,448,382,495,116,776,880,552,511,630,330,798,376,383,637,983,103,877,
829,488,125,098,602,399,767,141,917,689,735,002,527,570,368,357,834,001,097,
312,123,972,873,889,456,186,572,108,950,155,294,776,354,689,873,707,219,005,
054,288,362,507,648,659,303,174,881,680,637,685,500,260,369,049,438,718,631,
946,300,064,332,774,730,758,019,941,436,680,603,272,479,189,637,110,147,522,
307,033,936,318,696,747,183,829,648,256,005,014,814,038,278,209,054,999,863,
189,349,623,275,945,162,890,668,585,750,069,771,777,474,628,188,540,697,635,
551,947,335,405,556,219,068,715,887,932,979,318,957,114,295,811,893,120,602,
710,725,603,091,339,273,792,088,337,957,904,260,599,958,342,499,536,655,928,
452,542,627,833,570,673,477,291,986,337,945,186,453,788,679,575,857,349,889,
279,252,995,241,451,042,315,844,437,230,713,936,445,234,853,927,415,104,112,
961,429,020,689,413,505,644,731,865,382,949,619,352,175,050,495,184,312,540,
996,440,758,972,313,271,712,040,598,008,581,048,908,190,972,548,291,376,877,
943,040,335,334,060,558,803,976,926,239,977,384,051,334,855,923,135,048,258,
545,122,379,396,244,882,236,097,164,590,449,169,933,300,633,026,484,300,607,
338,986,084,358,866,335,452,620,215,341,648,668,460,592,840,001,976,674,288,
335,731,641,966,049,332,157,891,485,739,070,742,596,217,254,583,878,055,085,
791,771,856,980,371,159,889,687,414,334,386,456,252,903,871,460,373,549,399,
664,439,431,171,478,232,370,598,786,483,610,319,166,459,318,046,608,387,650,
389,198,255,756,966,008,875,939,241,699,358,903,073,300,402,729,989,094,035,
573,417,871,080,799,564,308,542,500,866,742,999,452,147,157,641,771,989,473,
067,680,852,121,500,082,399,527,235,074,337,415,470,130,205,515,378,878,772,
081,329,383,593,110,102,634,751,975,290,931,801,736,252,376,969,699,524,565,
111,142,239,345,557,690,576,909,597,031,685,112,790,547,511,635,657,979,752,
443,571,828,825,792,751,732,902,250,321,201,164,877,042,356,750,593,116,363,
032,993,412,532,777,321,926,612,033,803,471,789,719,069,442,208,814,959,518,
157,411,965,999,541,424,197,059,292,179,764,218,393,357,653,024,875,393,226,
935,598,312,774,041,299,007,433,875,713,518,721,235,521,676,459,646,416,869,
373,529,550,887,118,597,028,194,661,272,843,743,775,188,449,545,535,614,519,
246,946,926,967,236,001,384,743,718,630,092,077,601,378,793,668,226,901,051,
696,235,495,276,897,197,314,872,198,618,306,891,828,201,439,834,935,399,099,
638,225,733,261,953,816,955,461,733,538,058,294,672,287,007,410,663,278,692,
922,487,309,637,794,192,285,650,607,960,539,217,404,715,513,919,005,795,561,
002,642,277,076,265,804,243,672,035,385,196,646,730,535,199,586,248,939,519,
168,188,449,843,970,713,420,720,095,285,671,902,096,306,259,406,241,506,238,
080,186,251,300,279,432,253,578,219,440,550,511,770,477,010,056,710,108,084,
901,136,080,094,543,384,022,905,728,652,949,794,960,875,331,039,452,904,265,
224,257,896,849,113,738,802,340,689,824,648,705,412,386,729,819,072,699,211,
393,468,918,666,977,681,360,598,768,392,743,330,093,575,407,218,172,035,036,
823,015,648,115,299,508,088,115,889,049,842,030,663,262,274,066,169,243,269,
929,463,287,843,601,407,470,808,457,776,716,360,974,095,294,423,250,806,200,
918,123,450,519,149,863,732,272,861,670,103,119,453,973,223,879,615,013,133,
050,961,940,176,999,546,356,444,263,368,103,927,169,714,158,117,176,977,302,
502,174,013,649,974,607,610,525,055,640,770,814,109,887,542,930,760,677,853,
601,413,391,626,813,930,884,639,357,884,989,889,586,007,750,956,330,697,156,
675,933,953,924,613,243,177,372,556,589,584,886,970,717,600,129,354,833,466,
908,963,309,426,342,032,753,746,130,991,677,136,302,166,456,439,175,588,926,
290,320,249,377,254,042,126,871,204,033,306,313,006,428,423,203,026,671,415,
458,392,613,829,181,635,546,078,799,668,296,737,806,808,575,819,321,490,778,
152,039,450,053,218,061,683,413,210,707,158,243,169,646,468,276,080,305,918,
516,105,323,644,594,539,089,294,152,369,428,571,391,569,127,446,852,196,959,
489,635,109,685,615,847,613,212,749,141,650,407,911,531,027,818,354,939,073,
750,765,850,359,693,762,139,143,170,969,583,624,032,069,724,088,794,991,110,
031,105,834,225,222,678,780,329,452,073,077,476,543,978,457,889,053,503,915,
008,762,099,959,965,947,336,377,024,966,676,522,699,297,423,768,003,927,599,
045,530,155,783,713,742,049,191,515,424,207,151,995,395,925,002,755,944,901,
815,755,391,331,332,770,136,343,627,890,088,413,351,269,118,548,158,316,568,
818,650,091,045,358,763,961,513,796,450,014,206,219,535,065,443,304,323,442,
827,116,313,873,828,264,734,361,254,706,624,672,211,721,839,109,977,721,965,
094,040,049,118,685,953,518,207,615,363,471,901,367,589,308,204,390,786,784,
557,417,747,777,670,561,620,983,743,498,699,779,675,623,967,366,820,235,216,
764,390,932,869,768,413,136,441,389,258,505,027,834,419,976,710,089,281,087,
581,301,530,337,475,898,084,115,261,994,218,854,310,827,696,272,888,789,713,
294,466,084,790,588,323,871,204,756,320,807,455,892,924,122,377,350,109,881,
433,393,250,635,229,425,606,424,309,461,927,910,456,742,278,452,463,804,994,
181,519,612,470,507,241,871,850,297,144,088,882,515,555,245,694,309,866,267,
713,689,444,102,495,399,902,220,713,826,238,417,519,803,033,043,160,765,167,
299,294,198,349,676,516,428,016,303,078,085,697,021,702,639,382,183,206,102,
123,294,131,550,712,552,100,928,459,467,925,967,978,363,999,173,103,020,788,
095,124,657,557,520,429,167,157,325,865,060,547,030,051,600,788,094,330,992,
296,558,016,464,182,209,400,731,704,422,254,668,901,510,729,149,701,058,726,
277,038,236,481,172,950,119,444,711,848,355,551,398,403,410,111,768,782,385,
292,580,572,964,907,447,898,560,035,280,537,468,032,135,024,959,330,594,472,
598,683,625,208,673,004,171,988,379,759,498,958,043,018,858,237,920,536,915,
719,200,780,110,292,742,343,547,334,312,425,569,370,748,184,465,378,221,189,
495,915,594,342,157,104,855,564,093,079,560,824,980,929,664,855,525,473,920,
108,713,382,316,517,207,925,453,457,054,229,870,084,381,248,882,139,729,098,
789,432,799,022,643,496,751,432,191,816,026,692,298,644,476,888,862,246,494,
570,004,017,439,982,837,916,859,774,668,791,657,043,703,912,628,690,033,678,
046,017,362,089,976,007,383,826,352,950,157,621,446,883,327,739,175,541,487,
036,374,160,329,879,431,205,936,020,828,327,396,214,839,564,574,534,106,888,
454,497,848,953,648,274,497,656,581,626,789,060,620,548,143,251,632,702,794,
090,428,614,086,684,359,336,965,891,096,355,126,695,717,043,121,434,996,982,
838,089,854,078,618,627,035,223,845,839,024,351,023,809,493,952,596,389,232,
611,316,105,546,878,955,616,503,895,723,008,581,703,645,476,376,136,896,630,
115,806,630,790,108,337,169,943,858,277,091,286,328,494,273,231,095,095,703,
726,874,580,183,483,599,863,330,207,683,002,147,364,010,001,055,888,092,885,
982,897,301,341,224,695,753,848,801,308,378,991,826,731,147,886,194,422,613,
432,389,343,679,635,095,606,456,691,411,797,277,940,233,846,065,949,163,261,
829,580,396,312,511,430,333,731,153,335,815,407,955,813,418,102,502,871,790,
730,996,355,761,748,410,085,172,790,520,812,749,175,669,124,287,068,978,748,
549,610,549,393,995,745,599,651,921,276,571,052,773,879,145,366,920,830,493,
973,980,421,402,116,973,712,998,053,022,687,229,396,368,762,811,352,412,275,
297,691,532,666,794,799,686,733,476,457,817,000,862,079,108,331,335,020,851,
596,686,266,211,323,703,859,588,743,023,803,552,054,421,420,674,926,567,229,
112,027,099,556,741,159,160,527,401,074,356,867,487,908,852,341,649,067,746,
821,337,715,383,442,692,814,231,539,409,813,991,522,708,102,132,146,352,749,
546,724,492,803,266,465,962,676,945,762,067,447,561,448,369,913,918,436,074,
848,896,795,972,323,940,949,630,724,109,652,280,854,967,602,535,423,844,428,
781,452,312,331,432,508,487,136,528,361,595,825,561,350,710,459,296,896,142,
421,962,386,122,285,354,611,951,476,614,712,251,277,005,827,844,043,730,207,
995,600,621,505,927,906,518,595,855,799,656,853,939,574,613,811,863,814,296,
846,978,728,794,304,169,104,361,194,223,874,795,044,844,654,715,886,358,303,
454,041,846,371,739,245,760,397,247,828,332,507,383,083,706,264,924,235,357,
744,772,983,940,815,074,091,656,393,180,560,465,845,824,676,219,734,226,170,
866,748,595,709,880,985,925,779,705,232,107,534,220,384,785,406,635,996,214,
154,163,862,135,682,544,906,364,847,190,860,823,579,892,650,307,545,627,609,
630,794,092,310,367,120,544,914,654,198,478,415,132,814,568,010,400,968,519,
386,712,330,814,543,689,265,482,698,610,584,342,236,985,672,731,900,986,346,
271,655,292,979,495,867,695,046,805,878,789,340,107,065,470,844,292,756,901,
890,731,809,365,282,809,671,104,132,420,925,113,154,267,200,561,505,326,527,
517,504,194,955,623,283,608,654,886,610,279,212,224,228,762,703,261,939,048,
822,591,760,174,487,200,080,933,366,885,789,745,538,099,119,087,798,039,274,
530,586,954,008,577,941,043,359,624,427,647,070,006,408,979,097,790,073,212,
618,259,210,251,964,321,893,298,976,634,629,784,036,730,477,378,886,359,283,
026,697,042,453,695,542,320,487,538,670,480,452,782,764,391,946,911,774,902,
562,636,969,181,727,121,878,976,414,797,902,635,415,762,070,363,363,500,175,
795,796,546,161,514,037,466,242,048,070,923,400,595,543,821,971,720,578,827,
580,759,742,295,390,542,254,042,732,162,104,084,494,445,562,153,945,064,615,
801,721,470,521,967,962,681,359,323,327,674,437,149,801,099,330,513,588,537,
638,988,971,577,705,882,042,589,112,196,361,088,312,486,513,104,075,981,758,
479,357,548,959,686,833,617,141,192,486,684,996,154,010,601,646,023,626,571,
509,019,248,657,814,724,491,863,603,411,393,840,435,634,823,428,219,589,196,
424,712,764,881,215,005,725,543,709,117,565,723,837,662,802,127,358,375,985,
498,428,329,497,550,675,341,200,069,292,707,073,847,000,607,587,683,713,903,
355,778,852,148,704,550,300,741,832,071,136,633,768,969,433,928,116,470,758,
247,670,862,666,184,051,040,570,625,273,509,773,546,220,885,284,432,914,241,
511,201,676,229,701,169,538,665,238,151,126,707,575,122,700,224,454,177,778,
210,434,608,747,414,407,951,178,951,580,274,213,910,009,071,584,382,196,288,
436,483,479,448,390,967,608,653,047,039,771,798,044,778,099,989,276,558,047,
806,855,590,599,249,206,636,042,322,114,051,620,638,050,432,340,219,255,301,
295,474,058,628,585,048,347,449,891,262,031,340,858,576,130,256,244,039,097,
258,127,907,080,078,036,842,454,723,071,013,462,049,395,836,150,037,882,959,
634,557,902,839,342,839,508,254,932,929,761,903,176,195,385,319,648,882,864,
657,643,841,754,872,308,801,678,939,819,175,451,015,344,045,551,147,486,173,
894,011,693,986,048,484,540,721,899,359,759,557,221,404,486,092,412,957,283,
939,505,060,013,507,491,537,082,126,428,535,722,217,638,553,843,163,841,355,
864,170,235,057,809,148,021,142,649,094,073,154,504,304,046,512,946,550,882,
556,069,880,652,928,064,833,497,047,435,461,564,582,539,953,937,584,750,702,
227,901,902,237,382,288,056,990,752,752,204,427,294,598,354,037,319,668,955,
354,488,112,464,457,863,052,210,713,349,192,159,239,494,481,095,872,256,696,
433,277,888,626,265,913,619,050,691,844,140,865,842,606,349,027,233,187,874,
739,658,194,711,533,355,197,808,948,895,859,871,211,424,455,987,454,025,676,
899,048,246,677,556,994,399,079,353,293,764,764,004,194,793,756,482,180,665,
824,939,946,831,909,517,351,313,090,096,657,261,779,699,231,475,778,587,147,
653,324,136,672,934,632,806,395,529,989,038,799,047,703,443,129,168,424,432,
091,125,224,255,041,119,589,916,165,109,113,188,199,387,432,232,361,114,577,
256,378,535,724,410,597,157,221,350,052,539,296,168,592,578,743,875,365,227,
235,427,829,280,499,357,749,508,671,025,393,539,392,286,779,632,374,511,867,
773,506,231,377,941,758,150,711,464,399,097,934,719,060,782,598,345,154,348,
142,146,339,211,554,571,554,552,978,091,272,160,378,717,231,573,540,388,357,
610,679,817,109,144,561,404,352,988,998,823,529,553,209,195,570,322,216,214,
784,011,229,448,335,216,653,660,402,915,888,869,683,463,719,460,500,199,486,
947,671,130,348,782,966,274,028,854,010,258,910,414,960,173,323,245,714,298,
828,959,632,153,657,028,778,050,609,002,352,259,831,395,052,761,676,288,200,
124,463,567,594,683,182,411,899,895,042,193,597,155,520,382,164,322,704,141,
429,570,309,256,578,783,619,267,089,728,080,053,422,456,048,739,215,015,350,
578,144,682,304,513,792,698,484,167,662,224,553,580,067,005,027,879,416,511,
449,822,680,025,463,345,499,478,032,122,946,908,884,020,806,239,967,757,439,
790,263,825,693,807,698,548,485,534,800,715,161,027,063,915,285,393,426,133,
692,962,365,916,665,122,594,788,752,312,385,195,439,397,322,167,049,939,211,
854,510,364,251,699,989,384,113,935,896,281,990,062,644,255,653,359,410,840,
129,541,504,040,614,079,427,769,094,222,410,497,423,656,066,824,428,044,124,
222,173,066,188,629,129,371,842,597,878,781,172,360,152,333,019,068,680,232,
733,347,834,306,730,319,044,901,939,315,392,591,255,714,174,924,772,260,575,
412,376,755,319,895,391,600,624,925,806,589,116,539,974,187,380,313,005,494,
138,656,616,674,343,001,937,628,078,753,887,339,880,695,743,642,436,612,051,
653,967,613,674,297,537,739,544,530,319,319,308,762,929,555,882,225,980,805,
542,935,742,646,374,293,485,640,025,957,470,142,284,252,358,794,604,907,715,
770,496,977,598,114,849,538,150,801,136,391,581,112,467,564,339,181,757,557,
182,665,930,754,726,937,357,693,932,668,885,446,733,185,502,417,773,425,867,
684,485,860,282,238,323,606,332,698,776,072,303,789,280,779,721,143,430,279,
203,442,191,968,872,498,773,889,212,071,601,291,494,936,227,832,661,765,235,
832,672,894,503,611,336,866,486,730,616,902,731,643,016,419,020,824,261,074,
596,090,974,792,979,358,080,091,058,648,197,101,823,488,046,191,930,429,571,
632,033,916,630,170,586,574,089,952,258,493,371,962,956,912,039,433,614,153,
833,690,971,757,358,697,555,807,806,237,532,109,071,137,426,809,614,343,513,
502,156,021,338,381,622,126,844,927,204,383,219,880,982,040,060,574,026,007,
737,544,930,092,371,073,585,376,003,834,233,450,274,523,664,610,979,764,205,
437,769,545,306,598,512,902,891,555,385,953,088,006,990,896,080,287,185,584,
227,475,771,636,998,053,840,620,856,579,684,389,183,891,570,838,412,418,420,
777,704,904,660,288,571,065,016,908,270,904,994,107,059,683,698,915,044,024,
812,809,005,898,355,996,761,419,167,522,291,859,327,767,621,125,534,234,060,
342,813,291,858,394,813,643,956,768,392,061,845,775,961,089,713,643,552,430,
513,694,715,825,424,896,621,125,535,622,601,469,839,371,125,143,628,715,598,
562,758,327,722,679,862,226,250,138,342,572,384,372,657,834,881,937,718,856,
065,506,777,758,624,875,105,688,906,066,819,270,108,650,111,841,463,233,709,
186,038,278,605,971,052,626,267,708,908,601,002,788,278,797,674,434,129,399,
989,796,546,393,723,599,552,204,420,764,894,849,494,341,517,605,395,886,663,
948,154,170,109,436,491,851,006,307,631,920,193,050,020,945,209,738,859,620,
849,032,099,110,639,891,466,669,730,121,024,091,850,334,954,635,771,258,882,
914,623,231,122,359,569,918,698,715,241,539,675,701,434,303,623,659,008,038,
586,466,048,303,664,407,693,246,588,541,630,197,598,127,153,577,573,413,980,
465,846,353,053,151,903,873,425,608,599,926,744,222,922,288,029,234,462,388,
053,444,025,736,858,951,941,111,530,254,360,929,381,691,263,019,462,434,886,
341,661,466,172,076,462,781,280,301,894,010,830,674,233,126,180,491,267,374,
414,115,362,065,624,697,829,089,800,157,972,254,447,645,782,377,759,286,843,
333,052,340,038,853,541,813,863,925,423,291,495,581,746,655,576,089,899,049,
531,340,931,298,926,172,728,582,370,789,952,753,493,619,412,090,645,521,443,
984,111,125,766,992,123,440,185,900,844,132,592,484,410,141,184,997,144,121,
281,246,001,210,638,365,652,853,893,637,283,732,672,579,244,945,304,910,601,
916,070,995,146,964,232,363,688,813,694,320,175,185,839,372,217,678,877,133,
223,375,985,488,545,842,127,583,060,133,700,080,940,001,143,435,875,369,956,
021,635,488,993,015,717,429,746,176,207,975,245,349,774,969,009,866,556,557,
732,536,479,616,608,472,680,102,055,032,589,900,448,662,953,495,098,364,243,
227,400,555,834,436,117,552,830,949,794,419,709,511,120,330,243,257,188,595,
951,444,274,493,932,561,559,515,501,231,344,946,604,208,697,746,012,042,318,
358,725,257,509,947,865,568,735,406,330,008,351,315,646,422,813,013,843,854,
115,042,676,484,363,687,936,143,665,859,551,505,876,618,862,887,732,728,329,
805,597,779,939,199,572,196,265,916,344,889,808,172,300,821,729,576,449,906,
823,930,687,778,308,623,023,338,730,400,149,852,658,109,773,727,411,450,319,
612,015,923,532,048,741,289,840,640,546,486,306,298,908,939,834,997,464,351,
387,998,561,038,829,438,370,059,424,904,680,723,166,498,350,371,746,758,429,
429,169,694,201,593,124,960,186,660,760,557,587,501,408,194,955,920,625,507,
256,669,559,218,662,429,058,145,660,249,169,284,311,848,545,605,112,972,455,
523,256,664,749,355,203,378,551,235,227,157,138,705,853,754,541,147,866,347,
702,440,508,315,137,247,080,771,140,318,285,750,325,852,099,609,617,709,763,
316,921,984,679,332,296,330,038,630,607,182,121,999,464,141,962,730,709,230,
489,211,282,447,142,502,488,136,506,633,241,533,864,502,026,150,880,443,139,
303,418,325,821,511,245,932,532,209,355,671,139,455,093,269,858,959,523,864,
285,364,422,968,925,522,071,219,212,291,142,118,918,934,565,687,680,356,239,
329,483,103,096,770,672,892,168,059,898,135,450,522,515,428,340,163,436,932,
353,798,926,867,534,794,916,965,834,670,467,594,647,682,088,576,666,205,234,
976,695,083,636,731,360,434,458,999,110,894,825,556,467,110,472,677,086,733,
547,531,380,418,042,308,578,462,635,427,014,618,561,671,527,081,067,973,548,
755,417,732,784,295,852,010,676,624,609,868,629,563,073,485,806,232,456,236,
940,085,845,269,028,857,073,096,482,934,367,879,021,104,813,083,439,415,876,
941,678,193,723,420,752,871,430,713,773,416,770,148,078,136,478,857,595,978,
052,938,587,165,545,714,053,276,505,313,367,838,470,593,096,341,966,739,674,
606,872,379,082,444,688,011,012,597,466,654,152,085,819,455,812,092,518,535,
343,062,823,016,211,945,613,644,850,315,851,395,619,014,703,723,140,733,345,
345,540,586,566,897,049,143,651,446,715,983,000,658,658,109,014,644,160,893,
594,756,214,647,437,584,685,431,664,084,388,778,680,131,571,388,371,955,469,
910,866,432,610,040,638,391,998,906,500,942,807,090,912,256,395,529,657,229,
968,662,188,918,260,613,357,263,113,632,457,416,351,111,057,604,487,064,947,
414,608,154,047,326,230,684,985,379,892,099,044,899,597,972,366,642,484,602,
399,722,649,791,821,433,333,534,790,151,091,917,471,965,684,658,667,757,254,
211,316,426,021,448,328,362,176,267,775,754,587,699,253,670,172,672,446,229,
379,671,289,761,340,635,852,269,241,522,396,051,839,819,528,223,241,937,244,
784,211,756,102,872,361,125,964,888,846,265,240,251,006,348,565,705,041,311,
725,291,525,750,136,226,499,730,175,123,996,224,741,089,272,972,052,789,442,
119,838,657,369,997,943,115,178,210,396,783,362,117,742,504,226,069,239,819,
675,151,503,003,560,428,970,128,665,105,279,546,505,035,014,173,765,951,035,
819,523,205,786,534,259,390,941,559,278,164,956,542,902,411,411,307,943,098,
384,852,612,565,958,117,752,283,066,245,005,797,681,205,171,448,856,453,181,
808,829,422,022,111,274,196,406,777,939,016,407,509,441,212,090,554,419,074,
764,210,178,539,767,063,842,399,730,937,828,667,252,165,502,655,786,796,592,
097,563,903,387,548,099,709,083,520,397,299,580,920,120,671,814,756,074,486,
288,838,022,296,003,636,671,794,629,863,442,129,178,509,258,720,416,929,544,
781,608,893,292,643,450,099,612,992,945,307,501,079,731,370,049,797,952,157,
246,738,073,449,654,978,844,421,055,938,997,618,604,118,410,462,554,303,582,
825,963,201,904,504,002,404,547,472,723,788,105,999,222,738,773,685,377,194,
810,906,895,621,582,497,544,187,458,635,692,819,543,354,685,096,508,416,479,
509,118,358,010,318,886,201,449,759,184,736,316,395,905,881,814,700,025,324,
797,260,791,428,538,218,078,266,203,425,101,067,455,531,690,981,669,108,525,
130,461,965,495,909,194,181,531,667,029,068,354,983,143,202,409,384,070,096,
124,306,516,371,396,412,582,540,864,898,161,157,785,400,370,601,242,240,783,
497,254,875,618,528,773,569,268,754,353,710,005,207,689,704,374,145,705,088,
659,466,224,982,027,443,930,259,838,337,594,841,297,086,505,527,534,231,500,
604,901,698,388,446,655,060,647,388,899,268,869,177,677,920,450,688,470,041,
372,241,480,523,901,360,623,603,164,375,806,031,869,473,798,635,510,837,383,
178,719,686,069,946,505,460,498,050,674,112,314,190,467,142,293,133,332,996,
283,270,952,144,028,762,414,734,613,772,853,302,827,725,398,547,129,659,083,
444,592,942,851,278,888,883,989,437,893,246,217,698,135,677,767,110,885,423,
402,387,733,779,065,304,730,570,267,019,197,443,978,625,773,222,491,407,211,
896,866,409,781,233,195,329,591,163,314,922,100,033,242,562,260,021,789,487,
595,193,406,338,566,164,666,471,681,417,285,964,492,323,332,694,519,998,812,
234,586,723,516,039,300,934,508,050,757,749,258,335,229,229,828,952,223,958,
071,821,586,543,036,549,772,292,147,375,510,699,514,217,939,031,426,454,821,
663,213,874,686,620,989,306,617,683,309,539,325,212,192,548,664,494,878,549,
839,840,744,738,823,055,671,039,872,687,301,231,545,841,518,458,201,948,221,
700,474,356,516,217,340,563,507,341,978,531,608,189,041,202,020,928,000,233,
968,789,367,445,518,811,866,129,654,888,886,592,631,989,770,527,596,729,286,
768,360,208,619,341,119,940,872,654,900,834,690,159,752,931,164,676,459,665,
402,307,092,112,844,912,546,376,136,758,704,639,470,084,524,879,938,881,357,
325,973,187,829,500,051,151,695,856,927,480,280,846,637,336,840,488,881,551,
764,924,608,945,398,898,884,494,494,093,378,374,422,945,924,035,997,128,342,
728,225,970,567,541,355,604,055,381,872,038,136,688,073,802,531,181,175,895,
556,103,754,994,149,589,842,695,001,286,909,061,704,136,390,696,556,695,748,
040,114,208,126,409,421,515,966,006,920,797,281,185,007,366,412,325,280,179,
509,266,562,474,376,706,489,787,207,742,704,845,281,377,643,286,827,425,676,
489,697,588,400,731,963,438,261,456,741,964,960,102,358,922,604,539,468,057,
058,549,115,729,189,366,214,544,522,146,714,503,292,111,994,391,343,665,583,
153,283,586,415,379,740,855,979,561,809,332,294,175,516,965,367,477,174,330,
015,134,340,250,457,843,461,085,453,920,808,539,261,379,907,738,969,952,367,
733,877,500,664,255,614,334,717,028,355,055,651,630,523,958,498,544,214,854,
857,326,131,646,034,880,787,401,961,402,875,647,635,237,463,347,889,161,425,
540,490,186,518,717,621,934,674,164,457,840,276,708,051,449,816,776,727,152,
984,917,496,110,874,675,590,784,777,787,397,246,757,002,433,487,188,342,583,
017,667,904,269,896,360,726,012,018,324,082,184,087,750,148,611,916,396,333,
996,393,186,445,073,190,983,825,593,742,158,370,983,533,634,254,606,325,674,
222,940,929,411,701,496,655,774,618,254,188,134,956,293,081,628,586,479,135,
014,784,885,902,408,564,120,653,559,817,005,894,481,458,346,637,879,502,421,
875,491,252,271,218,033,528,638,371,950,584,536,357,507,109,340,134,838,662,
659,632,823,188,058,140,983,315,338,818,892,818,272,158,775,468,395,311,595,
607,303,344,714,252,678,986,951,201,619,958,980,324,045,119,898,770,429,574,
597,184,087,910,964,219,369,305,295,720,443,027,151,916,268,417,660,957,824,
827,269,192,967,751,721,772,627,014,454,140,267,904,045,878,459,340,028,327,
888,780,558,051,392,715,850,184,390,994,484,249,993,573,720,534,737,851,318,
031,861,997,644,376,660,260,114,917,560,525,768,570,939,389,525,375,336,614,
633,965,933,450,713,305,483,088,306,671,289,485,786,068,346,151,823,095,749,
656,440,026,888,685,501,615,181,850,224,162,139,907,725,566,080,215,500,021,
743,402,248,070,219,512,810,005,075,851,533,756,706,943,195,828,547,339,423,
809,859,096,961,497,403,573,963,338,847,312,276,917,885,046,579,869,190,800,
095,794,505,219,568,050,320,173,024,118,877,988,747,677,259,716,538,712,137,
812,885,510,692,801,997,148,834,226,010,082,742,110,423,764,109,286,704,149,
598,230,573,823,738,124,398,102,400,433,692,893,340,980,558,672,651,698,061,
088,904,625,792,155,546,331,092,846,842,544,074,314,766,330,186,951,482,571,
022,302,934,944,430,735,596,019,443,211,639,491,941,645,393,889,145,088,172,
091,214,230,566,951,310,355,496,772,949,134,761,151,012,673,873,395,130,442,
908,022,617,299,453,783,555,308,684,216,792,095,599,929,102,562,508,758,469,
820,062,174,666,040,408,316,579,528,951,212,838,553,595,185,619,840,339,571,
273,384,772,836,181,796,038,891,786,200,770,927,959,256,880,095,316,858,186,
686,617,942,150,885,879,153,026,648,475,895,340,331,614,694,733,491,630,856,
399,988,304,160,841,316,224,918,407,379,020,306,107,661,263,791,291,762,894,
332,517,569,977,830,069,661,413,911,901,107,139,795,151,844,758,651,072,954,
607,428,152,246,876,771,827,933,222,413,988,453,518,399,217,121,729,987,951,
947,732,793,250,714,015,605,482,291,396,009,478,582,601,969,198,760,993,249,
405,067,990,578,186,898,043,894,055,362,220,792,411,666,111,393,267,069,562,
472,018,663,311,246,307,405,097,315,817,187,363,345,718,440,404,681,319,600,
143,333,178,043,664,767,437,467,760,025,266,391,814,958,307,666,488,157,092,
819,750,852,570,971,882,684,416,757,845,925,193,937,627,551,991,519,740,255,
214,934,368,716,192,074,280,943,735,896,374,198,113,900,761,713,635,407,220,
297,838,707,128,970,915,043,785,589,160,311,675,076,264,542,546,409,053,924,
283,582,730,954,213,938,762,159,185,814,135,384,701,740,059,732,579,735,177,
637,390,007,904,560,177,014,518,556,275,499,668,582,774,118,291,854,569,241,
813,342,342,277,208,521,574,852,894,172,720,494,832,452,219,558,121,419,748,
654,955,098,247,914,373,925,296,291,972,342,689,700,835,948,626,197,843,280,
201,082,827,593,311,224,056,421,220,261,758,053,559,161,874,416,177,204,138,
038,230,872,801,341,198,093,478,920,406,077,896,885,422,189,484,291,651,880,
444,729,300,716,851,574,822,819,833,800,626,911,962,491,303,501,368,169,501,
359,667,883,870,600,718,393,265,887,851,148,916,427,192,084,909,753,042,103,
639,740,736,648,941,267,516,433,199,446,069,357,933,508,700,998,548,603,308,
579,972,559,356,128,808,230,673,514,098,917,527,364,540,192,977,346,412,796,
027,262,860,248,751,706,193,275,834,195,880,669,924,947,433,355,906,203,876,
612,062,533,734,491,639,604,263,151,079,641,358,169,818,168,460,991,205,625,
619,502,299,141,161,200,695,087,064,355,907,512,623,349,956,775,723,985,128,
966,904,039,023,606,188,046,930,670,399,365,384,277,532,806,694,441,832,209,
687,893,099,174,465,237,927,680,329,467,240,989,415,611,170,729,217,795,516,
984,545,367,359,601,058,638,981,519,847,924,701,861,920,607,767,603,172,671,
579,543,561,715,369,115,407,418,774,602,442,740,234,223,834,912,769,576,438,
608,873,974,105,594,232,973,344,457,443,251,132,535,268,399,083,796,299,312,
301,198,572,968,475,039,675,404,411,933,604,561,193,569,275,553,140,596,414,
940,643,852,366,629,561,743,877,342,501,110,983,179,330,870,587,414,512,350,
364,661,107,575,246,797,125,904,480,681,143,894,943,680,625,151,579,674,000,
317,181,293,718,640,327,542,478,761,044,353,600,933,790,754,308,635,036,889,
846,271,001,459,793,481,919,606,417,330,268,521,229,300,897,696,388,551,328,
368,230,490,078,785,368,303,610,925,729,534,592,300,447,417,549,957,622,766,
724,860,658,283,626,731,226,097,438,600,845,784,133,545,980,599,568,744,029,
139,177,069,462,763,635,700,519,585,193,078,098,166,698,737,132,529,710,643,
720,605,437,292,852,902,152,094,090,520,605,596,390,781,561,314,903,719,850,
976,939,761,692,330,867,851,630,513,878,179,004,999,589,780,510,994,937,162,
920,751,385,273,647,942,808,581,544,983,621,899,100,946,297,081,158,392,670,
434,094,535,152,577,229,373,290,204,782,211,481,862,501,638,732,016,019,000,
628,418,689,359,009,652,910,003,797,754,065,078,497,840,493,392,181,255,273,
816,128,940,447,414,252,445,289,133,513,191,703,409,346,817,569,652,487,505,
789,403,430,194,639,462,175,481,153,213,102,916,266,525,793,396,828,035,650,
500,678,145,953,713,817,373,609,329,050,998,443,789,463,342,863,965,558,228,
789,923,463,134,590,784,290,678,360,805,337,649,500,668,730,425,389,022,886,
193,465,641,522,300,334,748,968,064,981,111,728,683,032,381,141,445,107,117,
869,286,534,074,029,962,307,115,618,611,632,256,041,218,081,945,412,045,626,
749,873,010,002,607,067,684,928,411,941,960,596,275,865,581,644,456,507,344,
950,708,278,817,321,671,338,092,921,018,493,739,129,610,522,116,302,397,078,
132,131,043,856,006,637,990,385,324,656,687,396,773,271,025,497,452,828,097,
770,364,284,492,387,295,084,041,720,485,936,705,815,099,886,661,830,828,622,
749,164,585,128,855,777,009,023,709,220,737,182,495,534,703,569,609,544,699,
724,195,937,037,357,172,388,154,745,128,334,543,007,665,880,721,356,890,438,
653,431,617,395,735,339,044,152,691,772,512,310,461,587,543,787,276,219,743,
475,281,262,166,427,193,925,497,703,789,235,575,391,328,849,854,395,655,045,
171,956,107,821,172,945,790,436,443,013,934,825,612,504,708,591,943,948,319,
997,190,601,457,663,798,474,736,872,928,680,234,149,383,753,023,034,225,923,
724,884,200,481,645,168,271,320,650,855,479,560,590,425,424,463,110,359,884,
013,768,138,385,220,404,049,008,857,586,534,277,822,052,627,348,843,757,289,
552,329,810,104,146,716,993,589,638,490,950,264,918,372,882,386,763,362,484,
760,184,459,062,329,674,190,742,346,091,611,222,588,722,759,736,928,604,203,
947,571,321,582,094,290,039,448,407,326,010,039,949,347,350,565,014,499,107,
273,871,867,047,194,596,977,029,404,906,460,943,457,541,473,141,660,239,590,
915,353,077,527,821,464,478,945,020,025,628,377,360,157,353,372,066,172,107,
942,025,186,545,259,663,234,823,957,884,246,902,209,675,336,093,459,790,796,
059,161,182,816,529,419,202,464,478,758,886,414,088,367,024,084,050,303,786,
486,574,196,644,036,647,038,736,757,050,341,666,625,508,013,584,983,855,102,
386,521,894,657,018,040,231,772,466,821,092,303,077,159,871,521,646,439,395,
706,044,162,173,318,004,919,578,431,693,544,243,663,959,310,452,376,691,621,
008,517,481,673,547,126,389,982,873,869,132,915,781,551,887,399,647,919,312,
779,539,899,371,680,158,400,982,933,506,133,895,608,274,862,371,190,376,783,
542,824,330,669,772,150,647,915,893,950,759,685,912,948,006,023,072,683,172,
025,326,479,405,802,025,854,728,512,736,166,859,734,798,111,529,217,435,435,
256,728,120,310,114,576,087,093,457,207,412,913,794,800,970,008,999,218,342,
614,584,625,700,813,158,874,283,338,539,291,775,368,948,334,531,414,588,132,
607,194,781,100,482,341,388,763,545,804,075,818,608,538,699,167,079,029,868,
645,547,499,323,197,355,347,880,753,136,949,560,965,640,523,320,484,783,131,
740,658,556,688,708,287,854,458,552,086,252,221,707,284,516,938,409,603,502,
684,917,790,804,174,767,190,814,492,565,145,442,466,138,612,004,566,671,384,
514,441,793,987,530,085,423,951,837,222,753,506,583,196,976,413,756,854,689,
962,446,788,759,822,756,447,108,792,167,401,063,797,401,903,785,188,786,815,
669,499,870,368,534,799,953,195,721,439,860,570,660,551,783,771,223,566,524,
152,975,613,083,770,055,395,354,946,306,146,917,880,572,684,181,157,708,360,
247,260,532,496,401,950,638,205,923,136,617,728,973,656,243,385,253,701,414,
455,706,011,134,532,844,509,621,362,018,561,371,509,305,506,566,661,866,879,
314,099,240,201,200,148,943,669,315,928,500,751,871,636,492,939,095,074,305,
823,322,620,334,135,275,161,065,745,287,372,437,155,450,690,008,043,184,812,
008,475,075,994,064,138,217,507,331,367,147,642,200,837,773,094,517,844,433,
413,858,856,058,713,794,465,041,543,955,104,556,281,873,079,935,537,059,443,
003,758,144,618,699,260,285,974,619,097,948,828,860,420,734,522,414,348,600,
379,506,931,083,404,506,941,293,192,185,969,834,253,985,304,737,356,842,059,
828,379,910,238,137,867,112,571,939,294,973,334,890,545,170,818,476,035,861,
153,310,593,964,890,967,315,548,799,504,373,650,591,101,577,524,865,860,096,
436,243,269,848,914,347,225,775,093,251,781,860,610,243,073,170,245,156,299,
382,303,172,109,973,652,679,698,411,883,194,244,731,086,988,611,217,441,521,
582,672,834,156,664,172,859,610,467,662,467,267,900,480,803,973,035,909,885,
204,656,020,986,487,111,610,676,252,807,890,088,887,593,932,515,295,135,115,
894,785,560,240,367,523,446,950,004,288,442,441,913,522,277,671,085,207,077,
600,633,921,338,737,332,640,284,634,206,430,575,841,315,723,594,453,585,995,
899,478,396,639,073,938,656,563,825,990,139,698,982,768,744,195,926,596,208,
719,555,340,395,357,153,607,414,632,591,967,027,082,774,056,349,512,299,838,
851,941,566,568,004,418,680,468,331,020,667,781,994,624,388,259,227,407,056,
251,547,100,184,259,457,245,096,640,030,031,133,008,278,850,344,070,524,657,
787,633,390,326,650,147,907,177,923,414,010,780,477,693,756,885,587,284,552,
464,782,194,999,313,622,560,986,828,181,131,055,761,906,333,233,619,476,716,
197,355,648,322,880,690,566,000,338,620,368,618,168,463,720,550,485,687,418,
501,686,696,181,108,425,609,387,448,352,110,617,550,040,986,966,630,978,132,
721,045,336,948,968,095,730,286,198,953,304,024,429,119,486,616,334,165,378,
296,152,939,983,074,464,023,300,622,296,300,344,205,022,806,850,893,580,301,
524,113,712,324,913,084,284,792,871,569,640,016,279,063,186,502,585,766,087,
270,551,722,150,471,051,376,205,868,086,223,621,967,620,721,157,940,941,448,
961,228,425,617,253,265,455,753,716,108,332,664,733,551,722,911,396,713,018,
470,954,490,430,232,366,627,788,349,954,475,235,590,588,162,381,198,581,712,
796,408,853,508,941,420,474,365,012,626,749,439,262,937,700,927,257,849,623,
144,466,453,062,262,395,109,864,034,512,003,398,779,165,805,649,158,707,514,
927,091,322,927,216,809,945,049,974,737,091,005,938,005,577,810,354,491,500,
510,268,774,712,045,402,471,867,767,811,602,099,867,448,285,008,797,038,331,
369,521,565,468,600,012,161,297,504,743,587,082,821,029,517,179,352,295,715,
703,955,754,826,888,591,931,705,419,982,041,730,671,652,046,650,913,427,700,
884,008,342,416,426,356,810,072,813,568,418,553,413,261,870,757,676,337,993,
980,639,372,147,770,857,901,777,338,635,543,583,486,290,706,166,307,590,873,
452,954,746,521,942,262,774,820,241,756,972,932,125,497,661,745,861,434,933,
483,490,442,616,203,494,980,333,259,136,687,271,834,564,387,616,418,548,928,
310,396,350,612,209,571,803,537,081,734,624,235,731,710,808,969,857,187,826,
738,366,721,629,662,421,630,889,418,441,152,894,554,746,370,007,050,296,403,
373,222,304,300,777,176,292,538,901,519,513,429,345,184,978,330,557,528,690,
470,069,829,925,039,471,097,185,148,245,101,488,324,942,003,381,184,426,801,
891,766,670,384,643,712,838,197,539,280,403,235,980,836,078,590,362,787,382,
361,367,182,950,699,829,441,493,221,587,020,858,294,835,283,554,197,120,561,
599,489,249,587,696,857,101,657,500,664,377,111,107,214,228,136,401,301,895,
229,290,600,493,324,157,737,987,364,378,116,138,855,906,756,005,022,344,723,
093,345,671,333,873,430,145,055,955,938,559,316,539,591,146,652,225,357,116,
921,093,291,369,407,242,839,264,323,790,926,038,015,039,683,803,458,299,949,
012,143,267,799,273,711,926,812,914,828,047,474,665,047,975,465,833,756,965,
860,931,793,307,517,866,457,757,862,598,327,105,974,672,609,747,318,225,472,
674,126,488,842,630,172,978,134,418,733,986,414,012,341,617,255,887,490,227,
742,167,608,534,711,890,505,540,630,557,233,714,719,322,940,310,222,970,911,
142,867,613,945,723,240,649,361,024,133,946,250,685,778,873,833,236,991,867,
655,796,454,185,594,150,351,408,527,622,164,804,250,525,880,625,415,771,494,
329,345,471,419,101,007,842,158,839,230,266,239,475,661,872,583,323,054,181,
581,773,844,131,881,738,136,137,761,318,227,411,663,812,796,500,483,985,124,
048,077,007,533,136,308,705,300,602,722,633,449,828,353,594,849,801,371,754,
111,344,350,972,909,866,067,187,346,703,814,883,465,344,763,475,411,836,012,
218,896,968,878,673,193,584,143,178,732,555,518,251,756,325,485,399,028,179,
510,501,864,447,830,590,343,042,203,799,781,721,511,810,117,423,752,901,849,
241,202,749,128,813,196,808,323,447,638,313,943,399,850,824,668,981,547,987,
361,688,489,855,042,358,061,538,089,977,287,238,157,501,288,681,066,776,236,
924,545,029,447,207,349,801,425,400,077,038,370,409,415,467,277,896,033,460,
241,038,304,386,138,328,009,728,419,040,393,753,631,751,509,981,069,753,662,
062,892,064,246,810,620,016,972,063,885,671,366,450,641,402,848,329,920,489,
906,322,626,519,648,391,500,766,570,166,141,751,549,214,350,433,195,328,653,
375,362,205,855,489,474,827,980,060,336,345,336,918,763,691,312,991,746,559,
704,498,641,763,641,700,684,845,028,136,947,815,409,241,368,767,710,729,154,
440,974,865,763,853,341,198,154,456,040,635,272,084,230,790,648,225,038,163,
503,231,003,297,235,576,284,933,057,490,733,560,767,409,091,322,290,055,596,
994,483,528,443,288,279,358,676,964,230,509,486,877,587,484,606,544,153,453,
353,209,087,375,586,656,942,382,713,642,926,992,296,462,794,373,407,701,575,
084,495,449,819,888,101,278,751,177,863,800,668,687,194,351,766,558,164,021,
036,989,729,030,973,508,007,778,584,262,529,153,051,084,896,087,383,015,857,
483,607,847,408,886,925,720,980,609,777,112,299,807,017,110,063,713,680,841,
436,771,287,118,526,331,224,291,830,924,884,452,692,788,513,268,876,129,882,
449,084,789,188,620,691,451,569,235,338,454,900,801,936,469,541,829,107,001,
558,499,655,443,005,505,668,613,731,298,305,479,348,246,219,060,046,074,096,
579,347,980,186,405,388,204,709,088,148,712,238,438,951,791,138,013,106,849,
762,245,756,067,675,392,877,264,228,981,151,310,798,458,568,002,484,258,125,
546,685,380,500,969,886,195,262,864,162,197,047,160,445,417,156,079,943,793,
115,641,466,664,823,958,644,650,849,333,106,601,068,076,974,346,775,889,841,
719,089,986,702,728,642,349,423,820,450,881,512,519,409,695,159,976,137,618,
272,875,383,446,747,515,481,564,870,607,011,630,742,247,874,015,398,606,228,
525,592,464,961,775,837,905,685,958,244,368,310,090,848,809,446,716,669,255,
673,158,071,755,172,163,702,452,589,264,217,081,296,181,934,579,925,820,090,
588,437,628,268,287,378,393,621,093,243,003,754,917,767,840,667,768,398,061,
216,849,642,674,902,995,180,007,082,015,049,613,631,776,517,867,852,731,772,
644,500,554,343,890,075,786,868,070,794,587,509,168,641,365,316,352,752,721,
549,571,641,739,125,520,133,739,816,627,385,968,771,133,164,316,385,121,220,
098,449,024,683,055,680,479,987,611,771,952,628,447,096,293,606,336,334,457,
467,135,697,494,502,090,269,370,680,938,509,846,955,490,501,129,520,826,114,
464,546,600,125,928,682,937,832,500,335,722,827,881,818,972,056,803,507,908,
404,568,019,430,018,382,281,565,920,031,337,879,172,444,345,138,456,880,420,
376,390,682,960,992,938,664,014,784,840,620,724,077,084,194,428,948,805,829,
087,856,011,211,678,442,631,146,232,099,444,820,798,284,532,624,244,977,223,
171,764,770,135,128,710,042,205,444,062,010,202,986,108,281,096,700,203,726,
886,561,593,066,120,584,060,099,766,486,995,664,591,334,325,908,706,556,233,
106,729,755,631,312,758,150,168,482,060,828,011,325,694,153,026,734,304,788,
359,718,165,079,572,075,377,131,185,710,621,121,813,817,625,921,815,368,178,
931,433,081,316,357,881,020,509,448,531,370,756,587,964,890,805,922,366,092,
829,297,078,547,605,517,632,340,207,082,936,457,616,545,336,502,037,757,981,
304,803,095,763,046,236,408,189,724,230,611,196,941,631,943,543,016,730,288,
481,302,500,017,371,495,757,133,542,202,506,220,532,666,763,523,291,230,827,
762,747,764,914,212,841,277,177,628,189,394,793,045,939,342,033,453,347,396,
363,539,352,127,468,151,659,432,509,349,938,494,678,057,948,722,243,540,467,
401,253,350,925,559,462,147,792,253,431,359,276,637,762,551,611,970,945,287,
242,969,325,144,747,675,628,758,382,497,555,114,895,233,302,156,862,596,641,
225,501,993,756,816,132,143,430,298,314,388,253,910,422,651,107,432,598,076,
064,251,930,191,396,350,997,304,610,594,855,045,520,052,864,301,073,554,610,
517,990,187,010,543,738,819,364,269,411,288,857,946,821,995,590,931,998,104,
129,758,252,554,040,399,168,427,127,362,106,051,536,623,419,297,165,128,244,
739,957,607,279,639,782,750,806,124,130,255,650,091,639,463,354,948,349,957,
128,409,752,958,065,976,568,427,932,612,242,027,169,459,315,057,932,230,668,
048,184,152,675,765,345,760,884,253,762,398,988,196,856,791,969,843,712,421,
704,615,777,766,995,885,047,007,279,794,347,324,661,975,456,406,588,591,957,
849,705,382,296,934,563,012,958,579,963,426,906,097,745,498,409,140,498,912,
472,337,980,793,934,739,201,257,143,815,134,758,890,495,638,850,042,348,945,
204,622,404,772,349,082,193,639,752,237,875,540,886,445,936,235,610,517,922,
896,129,899,491,094,128,526,009,769,829,911,182,912,775,134,516,818,948,140,
439,360,090,616,372,610,432,555,623,435,388,494,759,286,243,237,543,461,861,
540,624,302,746,540,790,792,398,425,713,029,687,888,915,642,076,565,125,999,
908,741,901,291,275,545,350,462,280,530,363,931,935,809,945,799,072,307,581,
319,362,076,167,249,103,874,446,198,141,790,946,132,664,894,834,578,368,885,
267,770,675,827,475,418,437,772,150,649,604,543,817,358,783,305,060,257,016,
943,647,131,912,438,931,427,693,706,717,160,318,023,744,279,196,701,871,036,
269,333,867,678,280,943,163,278,498,902,192,164,555,718,955,290,406,645,920,
230,629,206,842,516,193,177,605,238,310,335,884,012,035,040,195,115,174,011,
143,600,444,311,391,097,032,859,950,939,449,408,652,560,825,616,333,028,490,
913,083,521,309,305,440,841,093,995,914,550,473,772,035,308,958,368,440,706,
863,843,088,846,763,844,862,152,748,551,132,791,365,632,698,557,218,430,738,
560,769,332,800,544,924,575,468,862,980,762,499,557,555,557,232,422,451,320,
652,484,961,114,833,703,837,342,791,651,701,938,647,928,081,346,054,107,706,
543,600,276,520,754,097,963,314,675,427,866,863,552,182,668,774,810,632,692,
392,568,808,099,970,468,144,153,624,170,593,815,863,284,324,587,889,620,104,
014,818,452,021,655,855,375,872,042,363,059,409,273,022,735,654,911,221,168,
135,289,403,894,170,977,734,635,575,332,983,967,035,107,390,301,185,478,385,
756,271,541,265,408,148,404,218,877,618,207,259,253,676,057,195,129,161,441,
203,322,323,116,346,881,279,522,276,329,220,260,737,331,838,771,629,413,625,
120,251,712,479,410,309,656,696,733,603,531,221,885,783,501,522,314,631,571,
362,169,135,749,787,668,560,248,444,372,743,536,891,028,213,088,888,136,499,
682,988,420,728,927,047,870,830,579,738,705,619,064,316,795,130,518,671,098,
145,214,087,100,415,992,983,710,730,344,554,662,204,306,345,414,784,808,743,
790,569,467,658,610,851,608,221,944,001,524,842,658,185,392,261,265,746,475,
948,599,448,480,392,663,391,178,716,934,453,332,141,825,799,523,100,199,696,
514,071,303,322,548,948,466,199,810,794,283,229,290,403,399,404,463,361,954,
869,914,611,185,530,743,207,185,208,498,337,119,579,106,860,787,486,840,288,
153,972,066,104,157,779,623,320,774,283,807,146,467,123,687,639,623,274,204,
674,642,345,356,564,660,734,468,826,533,989,688,066,872,905,282,420,773,134,
091,555,083,157,372,808,000,293,326,174,932,476,240,280,236,146,580,429,509,
429,280,087,857,732,987,568,546,405,986,146,007,970,514,852,792,757,685,614,
282,377,282,057,940,010,747,284,847,700,010,171,180,624,381,531,552,067,205,
157,032,016,058,084,687,676,053,917,208,900,086,905,767,763,967,859,326,824,
384,922,197,282,880,164,298,485,221,245,081,534,184,900,959,466,092,964,836,
252,015,569,733,663,471,203,973,248,097,343,368,554,863,039,651,542,137,577,
576,379,522,478,899,479,477,663,197,646,079,850,729,758,341,025,923,658,497,
109,930,531,138,429,711,720,755,801,132,378,135,914,107,707,093,591,589,533,
980,462,863,114,156,476,991,837,051,809,531,059,748,272,494,447,738,052,518,
067,497,409,421,110,893,436,882,754,369,748,379,250,036,306,396,502,694,508,
002,296,774,905,396,854,212,791,416,309,397,473,255,953,342,467,773,605,173,
481,257,693,839,265,449,434,352,378,755,898,313,021,378,393,706,345,168,157,
271,311,927,443,699,528,924,985,187,217,902,133,580,667,352,804,641,855,668,
061,908,183,599,705,047,805,619,433,382,314,921,983,564,527,103,686,621,054,
961,490,094,456,416,779,567,436,853,544,836,801,877,403,097,565,674,003,012,
463,432,692,720,479,617,950,859,956,011,429,709,437,318,675,225,790,492,810,
823,244,162,748,425,662,353,972,861,968,608,454,843,026,382,809,426,421,393,
858,853,746,005,793,768,714,808,956,983,222,805,319,340,716,980,208,776,743,
099,687,292,898,500,068,690,094,292,502,897,162,385,747,780,585,598,414,985,
938,695,346,337,107,383,409,017,020,072,802,436,466,252,526,911,966,062,527,
215,314,920,649,615,632,769,509,688,794,372,019,910,950,198,642,012,154,611,
100,618,543,907,263,825,049,824,135,552,738,980,849,857,452,742,271,171,703,
066,640,050,306,098,125,839,232,835,563,346,995,547,353,852,444,849,180,817,
366,157,210,564,060,999,452,599,911,435,443,644,523,850,083,414,986,027,900,
320,492,083,374,957,514,535,233,146,959,641,749,736,945,022,852,197,727,238,
808,076,198,136,482,926,510,971,305,665,977,074,832,858,921,891,955,761,986,
385,086,156,230,342,848,865,182,201,723,514,388,577,208,792,397,481,271,281,
334,891,455,091,875,781,549,959,571,710,505,846,703,986,566,787,416,242,717,
546,309,385,331,814,424,204,258,012,609,921,422,020,377,728,731,621,368,077,
683,497,551,148,709,967,533,636,351,268,192,393,595,442,323,634,311,146,086,
565,512,820,843,206,977,022,501,383,786,113,463,935,801,211,286,019,680,321,
249,432,109,132,672,304,602,661,842,839,956,300,411,176,075,444,401,753,891,
922,084,098,112,064,636,530,373,935,286,848,669,948,205,515,092,475,903,929,
988,272,483,664,440,731,810,057,120,187,668,829,172,539,541,244,793,889,672,
385,675,365,141,239,500,039,604,313,782,848,939,063,938,939,786,851,854,958,
839,466,589,153,241,211,376,600,376,450,609,648,092,143,985,832,880,851,180,
729,298,760,329,949,515,033,299,064,059,514,657,133,338,315,291,602,754,030,
993,390,755,050,768,729,070,862,692,032,786,175,140,541,936,843,328,165,209,
109,883,365,901,209,675,632,260,523,568,537,645,028,694,671,616,048,758,912,
049,412,612,397,625,577,026,849,925,273,777,043,111,309,494,462,564,958,327,
903,207,827,186,145,853,034,617,388,009,291,444,512,788,230,715,759,926,572,
415,529,812,333,047,780,608,308,633,446,505,275,808,120,177,989,897,567,627,
458,496,167,121,929,721,853,404,234,818,020,461,580,107,584,482,856,107,344,
270,167,127,434,279,129,393,450,700,508,416,483,105,464,674,041,704,451,804,
360,459,037,958,696,682,375,053,553,957,104,990,052,326,155,253,906,088,095,
186,563,457,707,476,992,274,946,298,954,008,993,646,667,191,060,741,786,349,
817,101,479,594,657,063,704,915,303,859,861,681,278,095,664,067,326,613,544,
119,859,202,759,112,016,764,460,054,531,245,216,722,162,892,600,701,812,594,
980,518,223,679,897,457,500,603,485,597,955,190,423,530,883,294,662,151,094,
455,141,332,745,510,390,797,829,580,874,786,318,581,930,813,968,558,138,557,
576,989,992,621,415,854,372,167,649,275,218,159,630,559,511,344,005,436,978,
354,556,116,973,172,070,335,654,897,176,292,332,966,709,751,831,444,881,341,
980,852,178,834,666,558,014,979,639,855,238,321,491,825,444,972,774,423,394,
458,256,162,381,782,162,939,882,366,331,673,731,808,018,517,464,821,799,392,
338,918,232,761,787,276,841,008,604,350,722,289,015,784,964,340,681,982,924,
517,716,938,909,544,096,677,107,594,759,375,945,056,615,300,911,733,472,574,
178,684,056,285,675,349,463,377,906,814,505,987,789,787,613,135,678,714,493,
031,371,594,124,045,498,082,007,204,125,495,942,289,644,562,037,670,216,311,
062,116,357,393,995,298,310,515,976,587,608,636,761,196,357,913,951,394,863,
969,533,224,599,183,785,372,027,261,672,699,772,001,460,422,979,124,866,740,
888,975,248,581,371,570,789,867,298,362,558,259,872,618,158,247,939,938,372,
641,548,084,754,439,659,871,808,211,083,144,610,131,723,068,574,651,314,124,
271,748,164,689,767,264,670,416,129,094,568,022,841,825,364,798,427,111,506,
876,148,321,523,053,429,979,974,986,738,856,892,499,762,026,338,719,615,914,
214,945,212,597,512,921,222,207,449,073,839,082,009,564,224,054,341,840,176,
027,022,467,730,296,105,279,255,963,249,958,855,641,489,837,995,813,911,453,
809,845,647,475,953,206,705,374,997,709,193,200,500,755,809,404,191,013,813,
441,979,704,517,930,293,843,470,283,291,356,370,979,385,555,838,145,997,572,
083,779,607,336,408,104,924,216,682,405,694,573,717,604,272,423,320,922,735,
981,481,007,256,710,824,103,052,991,796,452,886,598,060,534,469,711,877,280,
350,209,241,110,110,808,792,495,980,981,860,795,212,352,478,802,386,562,650,
270,242,414,831,260,246,352,522,715,488,537,157,167,518,438,372,378,125,140,
579,374,636,134,278,292,159,330,122,674,709,780,988,906,902,805,569,628,651,
309,784,584,032,493,095,885,815,644,568,541,928,198,615,767,082,102,263,852,
293,841,819,670,657,294,263,219,758,422,165,781,971,694,516,568,127,740,981,
208,915,585,846,973,804,243,916,710,677,907,646,237,386,229,042,806,964,889,
067,033,988,093,753,614,057,006,567,117,599,349,004,429,678,841,241,476,849,
197,963,148,846,975,967,986,254,474,002,588,207,057,609,037,756,980,700,869,
299,751,677,752,717,627,080,863,218,387,264,773,174,888,508,300,787,560,003,
858,099,079,325,308,499,656,519,990,768,408,317,696,923,625,195,686,254,807,
857,510,839,374,609,511,335,742,970,847,875,292,976,409,813,622,431,538,756,
527,868,851,351,815,770,672,438,776,752,280,385,970,630,407,133,963,173,098,
434,999,135,538,344,671,611,274,468,070,316,708,691,101,903,715,777,909,131,
375,162,870,539,820,958,617,833,713,592,208,518,637,973,554,623,005,172,706,
814,661,835,762,358,758,136,202,728,519,435,417,359,985,257,546,870,631,738,
651,141,425,494,805,971,656,559,849,556,136,588,986,910,301,048,704,426,351,
629,647,138,790,957,382,777,622,442,366,149,337,033,391,629,470,975,417,718,
297,545,111,474,318,585,369,273,641,490,315,672,585,574,367,386,938,279,072,
975,226,635,826,826,473,633,777,207,444,214,800,072,149,004,162,316,212,173,
762,022,142,161,633,703,316,846,546,489,947,609,209,448,607,672,812,064,650,
577,301,370,516,318,117,365,407,497,451,475,755,897,923,514,245,925,222,505,
569,290,981,915,952,023,416,833,448,187,051,711,968,178,235,657,383,847,371,
859,282,138,015,140,532,100,596,117,563,084,706,203,555,712,200,199,438,847,
893,722,624,718,398,039,940,752,553,076,400,523,748,076,723,753,167,299,976,
922,722,025,904,452,784,318,767,454,519,401,053,892,121,219,299,926,808,889,
006,976,756,578,735,537,359,332,904,870,447,473,717,960,388,798,580,194,817,
921,425,506,184,316,950,726,662,937,305,746,329,355,638,257,071,889,226,232,
705,923,080,147,984,210,276,842,533,123,917,879,417,017,593,651,371,052,862,
304,652,540,050,484,996,546,171,753,323,735,037,385,518,584,138,257,683,739,
257,305,795,350,688,921,685,555,076,103,050,214,729,500,249,252,353,285,047,
841,238,096,038,258,093,881,595,425,472,877,926,211,237,310,362,686,686,816,
577,900,204,720,434,757,810,132,751,173,152,284,884,579,225,931,331,972,380,
143,430,075,429,623,918,312,619,366,745,096,563,998,817,888,368,028,017,958,
606,086,551,750,494,260,354,452,293,597,840,627,054,018,730,479,324,720,855,
076,247,030,675,944,069,684,045,388,003,806,300,733,601,623,052,584,631,320,
523,787,194,913,503,141,031,042,504,255,124,852,221,215,995,908,758,885,560,
177,876,431,573,826,484,955,983,324,422,515,016,539,725,631,411,996,410,343,
590,872,984,328,714,267,542,556,066,581,649,964,818,883,804,731,603,278,976,
092,179,540,488,985,094,535,187,721,485,802,472,760,302,817,946,220,469,770,
895,645,062,554,416,791,701,324,431,816,050,323,274,702,074,498,402,642,823,
419,343,920,889,441,092,819,752,831,276,018,030,058,382,971,408,400,065,211,
275,946,009,100,864,316,971,648,498,201,339,731,597,783,366,348,588,387,226,
604,746,655,608,266,404,391,589,029,898,666,677,753,570,939,672,514,064,001,
884,462,666,305,657,047,902,459,269,339,949,231,126,330,748,721,356,102,738,
723,006,774,559,485,078,849,275,847,996,204,127,586,964,964,934,803,391,473,
366,389,305,348,228,501,248,518,186,161,186,526,354,736,517,633,191,708,998,
453,929,331,665,375,909,204,613,196,135,832,042,417,833,382,183,524,808,478,
520,999,535,751,900,508,836,131,550,251,201,412,883,090,305,791,265,477,432,
118,458,927,670,103,762,491,540,367,076,538,259,246,410,831,430,428,826,362,
364,371,541,436,303,459,128,872,211,322,193,231,089,138,127,427,746,257,208,
389,215,741,826,583,638,039,815,050,301,236,931,546,720,975,766,209,238,024,
369,588,083,258,375,799,333,077,740,846,029,853,522,142,046,142,235,299,648,
703,479,149,106,421,329,292,841,616,474,145,530,789,568,250,772,338,232,094,
663,995,555,281,629,940,819,756,673,458,139,925,973,941,048,815,609,276,368,
587,669,211,378,186,208,795,207,262,457,600,425,171,497,066,485,602,885,356,
923,204,617,615,934,172,281,154,657,184,457,884,011,111,988,452,351,219,860,
111,468,413,735,337,718,747,997,756,977,465,351,705,029,354,945,644,637,479,
580,467,853,609,579,496,835,951,824,384,013,090,176,352,130,010,847,680,359,
717,429,609,135,174,282,832,145,919,962,378,836,989,249,438,568,707,153,771,
258,399,654,133,636,556,085,106,050,834,537,465,158,239,720,856,010,178,927,
502,731,995,173,301,588,591,577,798,243,716,684,096,392,570,464,541,631,545,
563,944,450,085,103,821,599,170,249,359,146,847,530,685,519,702,538,957,050,
225,741,725,860,160,913,578,189,277,081,727,200,793,404,015,925,963,071,141,
156,244,347,642,576,649,356,126,359,464,930,229,086,286,157,801,289,761,257,
268,289,448,095,224,476,174,127,016,945,477,331,318,868,454,423,288,932,540,
534,747,793,469,866,746,680,219,453,051,615,886,435,647,465,522,569,493,569,
177,693,628,097,189,156,420,712,263,062,866,413,381,668,537,324,013,562,462,
087,638,905,665,877,715,257,806,391,457,281,837,990,988,406,062,615,464,797,
692,151,596,198,986,333,412,513,211,914,412,930,285,181,259,599,696,025,811,
796,750,903,068,331,108,704,412,786,682,437,780,185,439,213,117,489,584,955,
395,300,261,565,631,884,681,073,754,148,040,257,317,000,889,962,829,048,095,
882,571,040,472,508,327,038,028,692,709,305,651,353,541,440,667,665,976,963,
385,559,594,587,470,460,994,796,058,419,924,895,458,232,747,991,611,392,960,
496,123,835,829,086,799,070,322,393,795,819,294,452,696,898,827,696,907,960,
286,450,214,794,567,906,062,611,450,259,084,401,761,468,738,030,629,079,454,
930,349,286,963,595,314,353,735,840,370,545,110,274,946,235,564,597,058,130,
095,955,947,286,307,416,513,408,412,285,762,329,343,922,516,678,089,117,383,
025,673,739,963,106,437,162,288,568,159,741,926,394,770,557,758,234,769,125,
196,609,584,747,982,729,203,071,009,588,004,330,907,748,220,650,517,559,424,
271,692,268,942,183,228,290,658,560,425,752,483,334,082,313,327,974,457,396,
315,230,535,756,345,600,885,275,386,734,502,487,940,251,628,098,040,259,232,
289,352,987,802,898,967,077,083,207,932,272,152,934,112,023,839,800,820,046,
198,851,450,745,416,896,183,165,711,807,469,026,488,254,301,855,667,847,538,
796,534,973,935,869,426,396,194,505,416,889,546,969,144,666,092,196,381,093,
681,910,426,641,094,658,566,513,731,103,693,186,655,705,168,294,050,892,208,
157,875,367,086,361,315,286,388,866,181,302,549,942,165,151,783,090,134,001,
503,092,841,418,015,965,585,806,567,574,207,604,354,838,246,425,761,216,851,
885,484,675,201,273,574,965,436,673,028,058,253,091,485,091,251,168,610,961,
352,510,184,580,888,133,056,382,831,262,846,914,565,939,015,417,682,156,997,
162,457,394,541,161,398,616,759,759,661,700,062,004,460,507,840,918,552,374,
351,446,480,956,575,356,056,554,858,379,477,517,675,820,815,869,336,606,006,
077,683,323,705,304,439,756,870,758,116,686,845,820,445,701,856,707,937,097,
563,084,998,259,341,924,103,687,606,041,208,218,649,260,558,773,450,726,565,
726,377,823,708,092,934,579,450,285,226,094,611,562,412,184,778,155,600,466,
726,337,394,081,530,168,042,650,130,431,503,686,770,571,254,991,446,640,937,
284,317,134,263,648,653,444,180,726,160,348,111,056,534,234,576,212,386,158,
380,935,207,360,530,959,868,356,353,890,197,690,331,887,674,778,927,784,785,
664,436,076,683,731,635,883,322,434,815,723,207,160,037,769,083,985,120,442,
720,204,416,876,801,693,426,449,649,758,022,975,344,302,474,936,019,555,550,
831,449,302,310,925,668,840,404,399,680,340,144,530,377,506,735,887,551,607,
166,509,047,669,928,670,671,759,934,082,343,803,913,761,877,478,297,333,860,
519,269,470,239,283,127,813,053,067,281,603,186,247,705,010,579,912,249,394,
826,696,879,550,810,137,524,043,461,419,171,137,042,029,507,862,697,768,801,
749,110,141,139,375,290,965,218,228,612,450,330,358,263,724,129,114,970,882,
002,769,105,730,280,143,319,898,604,161,088,028,328,413,647,313,533,525,841,
832,990,837,919,810,160,079,606,329,521,136,696,047,158,440,218,273,096,776,
610,951,662,243,087,766,111,516,342,786,002,295,112,117,074,082,697,916,785,
103,129,017,901,227,168,104,804,233,285,257,539,112,086,996,402,470,102,869,
664,345,177,333,188,607,540,148,465,102,554,404,526,221,381,371,984,509,447,
814,329,003,972,041,504,330,713,736,376,695,664,190,341,646,169,695,044,124,
224,115,726,802,372,227,497,236,520,208,571,046,362,954,661,064,317,989,897,
542,977,140,538,811,606,468,038,927,897,713,250,595,587,803,527,332,245,438,
970,309,409,849,534,592,241,633,373,924,943,045,758,149,902,038,748,522,389,
905,475,554,671,210,076,266,885,828,418,757,474,604,525,225,277,150,268,235,
794,440,798,211,859,494,016,691,947,877,635,637,088,363,524,453,899,909,384,
227,648,423,626,284,467,937,834,947,937,337,361,516,324,717,122,631,573,209,
041,149,828,859,119,858,583,162,197,506,792,566,143,587,488,108,761,942,586,
778,461,485,053,442,755,417,178,427,554,441,850,872,830,646,877,782,451,768,
189,569,066,453,467,824,670,292,710,655,862,101,829,810,976,460,400,294,609,
083,495,662,675,879,297,235,248,461,240,939,704,207,133,891,623,265,183,536,
755,588,387,057,710,977,624,041,332,815,749,683,561,171,181,848,941,261,949,
457,906,082,987,184,724,206,340,734,743,792,622,937,462,472,715,942,563,686,
548,783,343,120,709,379,422,628,330,208,689,383,326,496,701,699,832,827,635,
657,646,059,458,882,244,034,022,302,620,470,318,773,101,147,741,720,255,004,
684,014,718,652,002,838,782,026,034,423,819,405,028,922,147,874,766,319,476,
726,492,687,095,750,448,043,797,960,443,780,171,508,333,119,717,300,321,805,
779,303,949,657,131,450,984,949,337,428,779,646,061,092,970,621,807,957,555,
906,717,629,537,685,783,625,070,658,482,362,784,755,429,408,456,534,293,426,
667,837,786,014,192,091,881,208,796,428,532,818,349,935,351,530,630,094,996,
778,727,761,105,571,180,524,450,012,777,893,295,247,961,968,263,339,708,436,
654,669,888,418,484,944,151,677,993,875,590,268,168,246,658,756,639,475,899,
319,000,497,390,614,726,396,007,882,370,082,336,769,957,681,267,701,849,455,
755,792,383,037,803,286,537,603,444,884,760,704,187,997,062,446,957,222,923,
953,776,195,049,190,900,400,717,046,369,444,652,191,385,817,420,730,400,513,
938,597,980,982,815,170,650,188,433,874,998,424,056,815,956,230,572,563,385,
392,560,988,659,670,860,368,741,739,411,635,424,769,183,642,101,898,293,596,
427,297,884,290,583,702,082,976,155,639,368,064,841,043,351,622,814,324,958,
353,097,162,973,165,779,111,719,047,305,070,794,900,946,447,295,699,743,442,
849,293,711,114,647,969,863,288,123,806,632,334,740,026,886,246,271,380,569,
806,544,004,688,766,503,653,405,045,985,782,109,448,054,604,023,434,601,281,
685,692,759,689,113,332,699,789,205,950,328,888,932,116,704,999,788,393,020,
978,316,021,006,138,510,465,399,366,568,654,487,279,798,555,788,569,190,809,
198,790,109,713,667,689,700,289,358,743,163,730,967,932,816,613,097,527,161,
906,304,628,814,291,127,012,525,804,151,905,348,599,900,130,003,142,942,798,
641,920,926,430,376,165,739,879,155,288,589,731,571,253,992,444,593,833,108,
461,693,050,173,587,103,367,006,217,672,212,515,381,387,114,077,994,883,097,
233,182,694,051,192,823,558,911,553,341,849,858,171,613,176,931,552,933,623,
119,367,812,482,544,949,937,539,636,998,198,674,981,115,026,602,171,643,070,
848,071,111,252,555,803,349,239,138,469,507,782,667,476,899,830,190,844,824,
313,893,319,193,217,753,323,664,261,551,200,018,931,758,979,322,408,463,083,
022,896,887,824,926,262,852,814,778,855,658,265,135,959,326,039,495,317,457,
203,802,910,490,822,011,802,657,531,049,168,560,200,789,924,158,994,497,416,
604,598,224,650,570,015,508,087,760,021,771,438,436,192,281,818,417,157,355,
264,880,061,681,930,552,145,068,144,700,029,783,611,762,702,197,659,168,184,
880,580,110,678,974,355,761,942,562,765,274,304,817,434,602,468,951,943,234,
773,938,819,106,259,760,872,244,532,870,051,717,441,233,724,424,454,303,236,
880,030,430,260,872,585,474,232,099,548,796,003,978,475,902,068,682,709,056,
061,429,475,258,561,246,898,356,479,168,162,330,002,575,045,131,683,773,521,
526,806,676,144,556,092,185,042,954,669,203,518,611,742,933,732,888,432,119,
777,109,670,647,103,837,818,441,903,118,973,935,963,681,393,079,200,840,649,
786,050,723,397,048,190,919,309,432,458,876,657,356,068,251,022,989,289,496,
608,006,436,220,792,629,828,875,980,528,731,388,345,012,460,667,918,875,757,
548,810,796,740,592,808,144,371,537,066,088,678,048,720,521,359,250,761,809,
604,567,980,031,673,181,744,104,678,458,598,203,016,323,665,874,978,026,144,
062,922,822,692,172,608,777,040,835,834,000,337,095,037,188,163,372,427,891,
220,186,316,668,492,487,345,295,479,695,191,100,399,990,043,193,355,634,845,
771,709,749,447,418,196,129,808,985,515,392,205,870,142,678,191,185,576,910,
254,130,065,531,151,459,334,798,085,132,270,467,430,191,049,651,029,607,593,
664,857,328,228,215,826,633,218,923,446,653,503,353,484,096,623,367,156,490,
067,837,222,478,989,606,208,124,209,144,684,909,171,799,867,497,379,429,242,
552,721,481,638,393,467,108,270,324,365,951,436,339,305,097,745,395,672,993,
068,941,313,884,032,346,542,619,999,625,695,787,122,043,082,339,259,351,446,
543,312,164,453,256,514,141,781,500,151,230,132,210,335,620,003,734,818,410,
472,002,730,060,570,619,919,920,889,695,662,627,586,254,077,908,440,380,351,
035,180,771,184,557,096,913,315,838,979,377,603,120,041,177,828,291,630,080,
349,363,168,686,001,158,437,902,925,324,558,752,300,134,610,137,867,973,859,
194,488,938,319,397,788,899,053,353,075,111,510,948,719,332,797,208,672,517,
068,760,186,656,740,271,934,816,160,350,863,915,523,814,401,925,910,962,154,
818,727,596,178,345,076,032,817,257,542,632,218,330,220,498,000,798,607,205,
755,332,392,627,532,886,952,735,754,652,150,952,381,422,189,825,910,255,760,
833,041,241,403,890,273,376,646,439,094,861,441,075,335,078,355,076,368,587,
495,812,118,607,052,246,456,476,863,663,350,371,554,129,036,139,505,900,523,
780,965,696,447,802,639,387,065,678,759,554,605,001,763,631,688,335,229,285,
546,204,821,509,614,566,547,791,517,196,003,857,479,105,775,220,221,376,886,
397,554,991,302,221,605,711,694,101,544,637,370,462,824,236,696,774,961,630,
915,276,815,827,259,664,744,257,064,861,103,251,534,475,446,654,899,034,576,
621,428,579,960,318,363,874,502,878,110,411,941,777,072,754,429,078,788,411,
257,491,792,272,453,476,260,641,284,718,411,962,576,518,792,629,800,986,412,
918,346,449,958,518,920,770,282,412,311,494,093,102,686,613,656,978,983,456,
707,874,992,610,677,070,522,737,301,351,660,592,155,778,024,922,626,603,470,
274,570,850,390,298,228,316,632,440,648,563,190,584,539,186,271,134,625,110,
691,336,975,499,516,508,273,551,114,280,702,418,392,179,691,896,304,585,580,
906,655,319,228,172,073,350,130,786,802,786,411,344,774,627,467,549,554,792,
539,152,621,626,283,981,597,115,369,165,226,197,348,859,969,261,266,457,917,
570,304,062,473,198,755,293,860,215,873,352,008,184,035,585,814,467,527,130,
142,270,157,187,118,104,242,603,637,495,345,443,897,709,120,265,353,063,783,
897,813,354,530,818,157,191,088,307,879,611,132,493,338,115,583,048,298,266,
222,525,714,418,026,712,747,024,417,966,397,352,789,480,787,592,163,124,368,
611,068,232,234,315,063,122,895,057,632,263,476,487,821,829,940,766,286,571,
632,762,813,870,294,548,825,530,861,796,982,169,771,447,641,722,098,796,439,
570,722,097,983,956,594,610,043,018,584,007,636,427,280,429,232,874,733,841,
070,566,746,827,471,502,785,064,097,694,912,911,512,195,122,043,943,093,771,
999,666,968,417,837,242,540,908,675,405,125,314,671,439,835,829,933,098,477,
828,027,732,446,085,860,132,951,225,190,405,934,116,071,604,947,683,011,079,
084,220,005,888,828,037,625,552,446,583,722,492,129,516,330,856,333,744,986,
732,337,048,729,423,441,565,399,980,925,184,516,650,979,027,309,985,630,475,
228,374,631,985,442,793,436,240,143,620,077,015,453,564,519,731,595,907,821,
926,937,669,584,124,254,064,723,622,450,022,938,115,034,192,610,992,642,230,
452,151,237,507,391,817,850,854,982,499,271,746,966,754,025,281,497,687,161,
896,260,988,925,091,010,236,822,566,176,080,075,454,338,450,590,325,840,228,
904,950,832,771,032,189,574,939,748,478,400,304,989,151,217,989,055,158,281,
773,687,526,163,980,415,088,533,767,732,285,536,966,993,191,686,317,073,104,
145,958,951,032,897,133,823,636,419,655,530,199,587,418,030,450,104,901,024,
225,049,018,917,150,090,367,422,217,386,535,949,925,715,253,093,004,316,312,
716,196,665,288,634,631,923,640,282,594,728,709,890,035,648,730,676,358,385,
071,775,723,071,877,891,708,442,091,021,033,988,009,897,579,142,722,534,133,
786,494,747,711,496,345,555,357,512,843,565,459,918,071,261,306,876,670,128,
913,079,115,545,689,290,381,096,403,645,423,180,909,568,210,098,507,744,872,
564,408,567,920,626,039,170,362,215,048,923,766,651,614,757,403,696,162,146,
457,022,506,241,954,632,673,029,914,015,310,510,114,635,143,806,754,221,027,
736,734,402,468,043,585,126,622,192,110,140,248,542,340,451,990,908,607,400,
194,000,604,816,665,861,636,945,239,040,371,847,063,986,455,354,741,539,790,
587,875,874,134,212,991,181,877,480,858,760,783,347,066,073,727,771,835,790,
788,487,205,688,253,715,617,003,510,009,305,558,859,112,996,193,434,288,420,
277,052,130,687,488,122,432,532,484,448,872,146,411,944,433,200,284,530,125,
296,647,311,260,855,974,086,150,591,935,219,569,986,670,515,294,162,282,622,
044,060,475,159,305,270,635,547,109,388,301,954,423,262,665,408,052,522,495,
570,896,283,706,952,499,883,470,440,250,409,045,351,136,899,138,502,007,684,
514,252,919,890,528,342,766,482,399,685,856,100,264,727,471,318,747,668,048,
820,716,783,379,890,045,132,834,847,660,165,435,922,461,578,273,384,329,834,
741,914,265,754,230,125,119,430,357,347,989,956,068,419,537,443,797,323,466,
346,065,919,702,589,151,392,105,288,881,345,166,641,531,694,721,546,684,381,
916,397,345,471,645,015,073,485,285,954,592,893,228,304,722,463,763,125,305,
148,604,354,202,789,352,281,154,720,150,078,962,020,009,837,065,973,714,070,
150,740,079,454,666,046,879,901,706,005,958,358,577,530,916,522,999,252,438,
690,767,809,640,687,748,056,686,243,034,926,121,444,707,377,922,587,622,650,
645,077,045,264,903,656,353,661,499,555,045,890,795,823,947,273,336,009,004,
430,291,968,194,511,067,369,127,556,851,643,003,430,840,467,890,664,847,152,
951,555,918,876,656,878,556,018,998,444,920,389,921,146,938,998,228,260,842,
179,737,799,345,989,843,954,312,402,265,986,913,673,221,210,851,748,005,089,
767,671,684,585,964,885,961,345,677,626,885,746,117,959,020,454,840,143,506,
504,148,184,808,557,304,729,302,281,419,713,712,180,952,685,237,541,862,469,
926,846,015,376,110,357,749,374,931,576,308,980,233,463,004,096,592,303,442,
395,742,166,750,455,594,292,177,068,481,717,649,117,381,520,436,444,364,210,
492,768,771,747,088,926,627,897,824,093,206,276,303,626,625,297,711,279,422,
314,956,500,308,292,153,421,326,705,644,960,140,880,795,551,732,346,225,531,
671,580,908,474,481,569,104,299,591,121,308,854,408,056,941,479,710,561,960,
272,051,399,431,082,060,310,957,400,088,914,301,257,928,875,890,733,968,470,
926,765,885,172,189,946,826,893,231,481,934,905,302,245,805,134,738,287,601,
239,200,929,391,797,260,890,895,431,760,972,683,653,263,843,753,681,796,294,
349,729,031,103,811,886,016,744,097,357,376,352,017,401,878,481,648,789,225,
555,487,767,553,965,293,876,997,350,649,252,339,401,342,005,728,006,657,127,
659,874,937,404,768,853,427,109,370,192,264,882,977,224,321,433,824,670,110,
072,988,729,986,066,821,048,589,028,919,665,201,888,839,955,020,337,843,481,
694,939,188,982,154,681,453,408,571,215,061,962,874,577,102,895,098,444,440,
856,349,499,665,685,674,531,277,348,772,591,519,042,760,167,180,993,077,594,
604,094,166,802,990,226,664,701,111,321,830,672,717,692,155,543,238,251,105,
927,331,731,599,904,298,136,962,705,423,620,929,101,785,059,978,900,632,705,
396,656,667,773,523,381,077,071,391,973,684,813,308,833,349,059,310,140,258,
899,706,497,835,523,977,911,887,648,197,348,782,998,634,009,214,819,617,826,
094,320,459,648,218,115,690,530,501,638,196,711,587,938,760,750,620,411,311,
315,682,555,632,303,288,581,747,283,165,299,548,762,580,990,313,930,721,737,
100,108,469,200,186,993,036,965,438,769,141,868,871,406,144,265,270,116,916,
244,591,684,925,712,060,723,417,537,207,270,874,156,656,806,647,794,782,232,
164,271,229,359,250,793,862,519,185,032,978,517,559,792,057,369,338,445,728,
550,838,960,394,911,807,701,481,548,508,642,788,340,199,764,722,157,060,002,
269,546,766,242,908,079,935,580,620,027,969,351,386,003,563,809,220,340,588,
621,046,357,558,322,208,388,344,888,991,828,497,763,314,507,683,384,277,306,
845,517,402,083,065,318,919,793,214,439,647,143,012,134,871,091,670,909,478,
374,509,291,095,112,018,227,193,658,135,584,098,379,986,088,040,294,756,202,
396,438,646,082,278,156,667,218,309,712,501,447,266,627,440,588,973,544,421,
916,239,890,062,382,008,121,661,935,413,373,032,946,368,904,240,691,504,482,
314,191,904,659,682,218,562,131,200,187,231,439,232,218,916,312,682,636,677,
249,638,014,735,235,366,318,944,036,804,160,887,388,197,460,444,002,842,941,
153,760,644,104,491,394,998,371,878,899,128,369,621,418,561,881,162,279,150,
098,822,414,065,461,216,571,606,300,574,998,771,658,915,490,207,219,067,000,
181,423,650,152,366,621,138,536,465,306,119,359,460,585,020,319,565,243,176,
746,980,684,882,405,245,060,774,573,373,961,415,887,732,211,891,015,147,257,
720,774,369,592,130,459,484,602,427,534,626,300,536,687,052,438,889,279,886,
222,114,643,081,020,108,712,666,103,693,938,719,509,016,054,417,558,770,372,
058,380,264,920,702,737,598,404,154,985,330,958,038,798,102,048,083,758,427,
661,324,134,454,235,314,717,022,990,890,396,790,568,617,278,589,118,732,273,
626,440,950,081,117,130,649,066,546,841,224,454,851,434,589,119,409,443,343,
890,989,425,556,846,688,675,886,888,366,559,020,465,586,926,895,319,737,345,
560,539,660,769,775,213,506,896,947,067,370,974,616,519,054,474,741,400,678,
565,054,411,458,185,010,027,474,172,989,731,633,858,735,240,181,491,628,026,
163,235,478,790,146,353,296,862,672,820,911,074,747,828,589,436,570,775,508,
242,125,765,507,325,653,958,804,065,594,961,557,140,556,475,027,230,040,126,
090,071,116,706,831,678,149,557,550,027,989,141,020,791,705,062,888,182,531,
299,520,992,162,727,291,649,504,684,553,053,968,367,327,193,202,519,389,480,
568,925,163,342,093,536,302,755,866,877,246,968,602,547,997,558,799,269,786,
292,367,085,698,285,097,612,755,128,023,047,603,284,006,043,581,991,932,533,
312,140,621,162,516,855,632,570,465,443,423,319,442,708,437,259,149,832,627,
775,772,841,931,304,039,236,853,179,967,855,906,917,383,249,686,380,093,602,
987,312,444,003,306,351,815,209,538,789,472,784,085,882,571,569,777,571,523,
902,131,490,333,571,724,018,193,332,258,625,674,385,665,249,639,798,155,369,
440,239,539,515,893,325,895,280,517,413,830,813,187,787,734,487,389,461,352,
047,073,064,757,041,694,781,419,408,449,858,633,032,645,403,860,823,613,222,
051,593,457,682,538,801,729,121,639,176,243,214,341,942,641,991,101,375,859,
684,442,056,324,648,429,658,684,073,611,737,806,042,402,229,468,134,588,391,
534,745,157,101,660,186,037,544,042,521,559,876,786,354,090,464,261,429,694,
782,156,633,990,062,836,705,169,331,168,433,909,713,878,254,509,790,685,900,
871,003,394,837,512,752,680,488,817,471,250,153,987,045,325,182,140,309,081,
599,229,949,345,093,255,090,849,594,915,823,512,622,960,831,554,729,395,707,
641,768,494,400,693,258,174,696,473,166,399,000,359,184,873,274,656,694,982,
181,439,865,863,446,555,926,409,686,321,159,310,281,054,522,357,182,338,989,
889,683,976,823,783,899,343,522,697,000,165,761,987,482,769,915,657,745,784,
556,369,543,607,114,414,381,335,579,248,863,097,831,947,359,704,439,321,137,
019,422,601,847,929,930,022,992,870,262,163,652,278,774,301,717,680,327,442,
362,438,510,768,719,270,452,498,197,151,249,742,171,858,997,654,925,571,051,
600,965,787,525,306,512,901,199,465,114,171,373,030,395,096,906,380,540,398,
731,932,376,813,755,627,913,586,239,415,933,166,244,918,619,196,954,763,695,
336,869,260,772,062,286,233,776,338,309,736,975,561,147,565,696,922,458,820,
237,865,320,624,722,989,322,973,356,864,806,890,667,052,484,655,187,696,941,
819,257,268,583,210,783,691,399,615,561,725,323,748,627,477,961,768,447,172,
307,771,656,806,648,012,076,531,025,111,617,542,467,704,622,891,388,432,574,
009,367,863,612,636,593,191,576,479,238,423,177,265,608,155,298,993,086,666,
081,907,481,879,682,030,120,233,245,105,298,472,913,794,769,483,219,529,659,
575,283,691,968,598,868,440,340,230,117,192,007,604,369,091,354,127,528,696,
325,096,936,280,259,139,574,607,637,736,955,108,748,896,334,594,509,280,403,
009,371,244,840,457,466,473,384,904,863,597,290,899,325,099,015,673,401,276,
941,476,555,681,100,633,949,618,185,063,577,674,824,294,200,087,409,746,473,
328,654,330,495,851,521,331,520,885,896,194,396,610,710,271,694,198,550,265,
799,790,402,089,318,870,278,993,643,381,684,765,546,981,893,537,890,558,590,
065,411,262,092,946,411,858,455,734,819,192,490,665,759,019,437,552,793,222,
440,103,133,946,831,034,958,053,631,991,955,789,495,101,121,484,748,744,413,
309,833,256,727,892,247,841,416,052,829,968,893,943,742,356,413,841,385,305,
632,927,773,236,158,955,972,493,545,769,343,387,790,480,666,953,739,087,346,
575,742,440,530,123,207,471,199,025,563,470,703,856,238,623,857,140,803,205,
668,969,604,345,668,558,859,666,084,549,985,430,411,521,061,661,314,954,072,
661,500,866,522,314,867,049,235,183,393,769,314,236,390,044,648,139,078,407,
392,199,535,436,844,980,510,380,205,321,214,668,333,606,500,180,485,149,837,
151,978,364,752,939,636,010,783,896,680,666,394,482,382,676,079,129,762,955,
465,472,403,831,235,005,066,076,410,485,225,425,607,223,761,700,817,429,769,
375,545,497,540,159,492,875,563,411,157,658,569,189,514,640,216,588,100,971,
364,580,664,878,036,491,161,587,848,848,448,026,673,160,361,834,059,704,780,
701,050,652,054,806,263,497,856,363,217,513,011,270,528,583,655,816,285,497,
956,721,172,746,101,810,054,263,644,690,723,592,619,537,706,034,824,764,287,
160,080,152,602,990,338,785,123,571,473,652,479,632,422,536,179,471,453,080,
079,356,087,587,619,892,749,465,440,482,965,434,673,209,619,606,926,942,048,
025,913,964,804,811,389,921,175,203,009,105,504,050,582,277,152,797,321,498,
439,996,635,498,746,730,444,039,933,145,149,084,904,219,110,230,046,927,708,
505,201,865,476,192,260,120,945,377,089,083,769,571,773,020,172,736,008,309,
359,300,724,569,187,369,370,022,306,157,903,226,656,938,949,606,248,258,798,
218,630,881,000,258,583,165,589,684,561,561,596,684,520,860,753,686,959,780,
248,953,962,328,906,104,639,334,599,349,236,878,585,375,579,572,920,882,685,
122,197,673,531,751,345,073,433,357,729,418,887,196,723,185,249,659,263,935,
214,792,398,362,790,818,592,247,596,198,267,414,024,049,951,070,475,133,606,
699,500,702,961,844,236,064,017,816,320,416,104,824,493,074,803,199,724,313,
322,465,704,165,762,888,215,099,418,107,746,565,922,281,654,756,633,974,867,
564,680,673,293,096,626,618,799,337,266,586,978,398,246,828,973,605,333,546,
634,272,938,666,818,091,988,390,570,422,341,876,050,971,087,602,930,213,436,
261,365,351,389,135,737,145,891,745,596,201,625,709,360,662,035,034,566,402,
771,814,009,208,456,579,160,703,130,307,028,707,611,430,468,716,096,950,373,
147,946,248,677,637,492,649,281,648,461,196,953,772,054,347,275,685,060,172,
754,483,921,130,223,199,049,247,787,186,086,669,569,877,480,975,364,392,696,
868,015,220,413,814,703,640,828,153,690,938,851,684,263,261,531,704,433,190,
263,099,725,422,946,262,518,041,435,848,523,461,649,898,864,377,944,607,758,
297,959,337,268,940,879,350,077,295,550,868,564,711,408,987,805,720,370,890,
573,176,226,279,274,652,097,313,286,002,798,285,911,999,788,721,351,172,100,
311,301,056,183,228,662,608,514,578,625,651,668,502,808,603,252,659,653,136,
984,524,311,836,001,064,339,530,324,623,503,661,041,847,105,755,748,556,149,
031,851,306,788,651,291,017,711,885,569,641,821,702,064,990,084,636,358,745,
568,203,258,422,021,893,759,775,807,375,028,256,945,244,716,643,722,978,941,
557,061,374,348,350,722,927,615,085,676,145,589,493,206,158,653,249,248,457,
075,421,856,796,033,444,466,187,283,904,169,520,887,995,157,756,112,035,008,
042,987,347,873,796,222,025,477,770,790,771,216,663,271,648,848,124,297,626,
543,398,383,388,166,200,491,203,792,200,967,114,397,522,802,612,772,134,130,
236,370,036,334,346,626,498,524,515,048,064,529,640,054,666,226,872,561,396,
019,667,256,577,861,548,486,703,570,540,308,074,885,213,901,918,174,915,500,
898,902,738,027,171,624,649,963,242,863,331,680,282,004,697,654,039,242,378,
982,991,734,679,274,695,318,260,018,865,068,743,308,165,930,029,346,418,919,
974,080,119,731,599,240,062,698,679,714,081,043,786,838,795,849,896,416,620,
642,560,327,724,654,573,007,810,525,585,685,672,425,714,923,759,707,542,950,
229,526,199,689,133,510,987,659,566,519,001,814,345,715,937,925,805,247,713,
049,923,147,968,971,394,140,334,263,764,565,889,785,713,052,997,710,110,375,
170,360,064,072,078,085,614,964,326,296,149,672,366,044,601,866,384,508,190,
166,421,790,503,601,347,206,378,415,692,834,342,871,799,932,249,226,394,131,
079,329,834,337,253,400,073,965,053,775,435,025,389,288,344,287,445,934,896,
071,043,791,700,459,824,047,027,052,718,517,098,836,206,141,348,451,956,860,
257,536,462,779,179,497,765,565,857,505,303,908,229,588,506,568,245,695,840,
205,225,919,350,509,157,991,701,560,540,761,053,333,195,016,309,419,818,698,
812,003,198,066,823,432,643,195,981,675,958,673,576,523,667,668,499,974,878,
450,048,195,525,865,369,551,109,461,645,839,726,425,887,361,176,092,013,488,
716,910,452,239,059,716,834,741,165,035,468,127,441,490,735,746,806,604,362,
050,265,534,811,396,593,547,022,426,685,654,707,419,612,896,600,746,426,466,
259,332,348,403,893,990,306,504,441,975,925,055,604,189,385,438,468,779,456,
776,470,568,409,915,041,544,185,707,062,391,254,960,009,704,613,673,886,724,
222,031,682,329,053,737,009,314,616,079,267,543,093,203,178,378,393,952,823,
185,033,948,914,989,760,798,278,907,046,702,525,941,052,495,306,563,347,124,
034,667,441,437,545,610,065,013,142,906,986,313,856,069,398,642,195,220,964,
504,194,020,007,819,342,031,293,342,026,004,669,645,131,572,335,099,011,063,
949,596,960,795,464,982,795,899,620,579,722,430,883,979,814,495,832,391,068,
999,300,535,602,033,930,288,572,213,028,861,482,406,690,349,513,089,495,795,
647,878,459,375,991,323,856,382,290,811,019,055,038,666,441,024,876,343,187,
859,707,697,569,323,660,138,449,575,417,995,490,108,672,819,061,287,163,350,
377,700,243,363,404,138,500,098,416,701,794,927,031,976,957,707,567,770,634,
148,836,322,104,471,591,516,624,893,512,598,551,750,232,593,894,809,043,369,
820,651,244,123,431,301,497,048,277,290,944,182,366,163,392,556,780,364,573,
294,922,831,362,035,538,311,789,670,933,262,801,465,851,012,594,661,411,422,
211,124,440,017,733,258,031,094,565,581,252,023,453,696,391,251,865,047,369,
787,839,152,835,081,340,573,029,137,492,189,757,245,653,658,850,168,974,362,
523,216,886,197,952,939,268,743,455,259,374,718,107,541,282,348,448,630,934,
698,919,448,408,107,692,616,732,721,593,447,607,059,459,926,224,570,614,152,
171,205,716,969,902,335,594,037,114,484,165,686,948,150,719,005,950,534,411,
262,581,845,381,866,739,153,298,004,486,380,567,588,069,952,370,529,211,531,
939,782,439,020,937,228,077,769,024,063,258,624,808,077,752,356,948,580,229,
684,168,316,754,205,731,777,992,609,669,105,259,479,059,754,558,543,260,659,
709,466,470,464,942,763,126,082,824,858,128,692,833,099,093,205,008,374,430,
013,524,774,518,172,110,157,585,505,132,226,956,932,993,056,424,018,487,090,
933,390,304,991,061,350,872,834,980,853,861,971,673,591,399,190,572,487,348,
354,072,307,563,971,932,092,795,926,944,392,416,719,758,575,320,262,189,033,
171,904,812,177,593,503,020,156,392,513,569,759,871,762,683,338,320,159,509,
602,309,020,553,090,296,468,631,812,845,713,772,902,525,148,271,077,972,156,
101,471,870,085,205,333,567,831,215,101,622,659,758,860,659,842,234,918,363,
121,249,972,210,915,632,290,986,973,663,337,177,909,191,252,108,776,659,253,
834,110,432,031,127,750,235,127,975,258,812,400,508,141,091,183,772,193,920,
450,729,895,207,905,795,407,659,012,809,172,814,742,791,237,888,902,746,343,
356,056,781,353,843,802,371,300,926,195,225,923,854,893,058,944,972,789,862,
466,796,663,439,758,846,770,646,048,545,059,892,616,757,554,312,583,804,272,
183,270,173,299,863,666,398,935,103,402,111,888,527,502,949,304,802,016,567,
458,084,410,107,529,699,181,483,055,041,529,650,400,334,951,646,977,368,970,
594,244,440,282,202,694,809,245,127,336,816,646,207,398,073,808,390,527,804,
959,181,039,708,401,266,309,888,358,354,614,023,051,567,988,911,736,841,609,
360,092,599,794,145,719,643,215,353,426,391,272,785,338,318,698,257,881,385,
081,672,259,865,822,325,265,738,890,683,613,765,601,852,615,515,210,662,978,
431,251,995,607,238,627,362,789,585,864,652,672,118,046,953,842,680,084,230,
969,855,531,514,590,632,739,371,165,965,012,783,385,057,818,102,890,182,576,
158,813,335,814,612,908,172,347,500,196,290,056,855,958,602,683,596,261,298,
863,425,261,704,280,730,572,086,706,196,820,558,262,238,470,224,567,795,333,
737,270,023,524,151,381,788,993,295,500,424,298,058,473,762,215,936,845,105,
673,557,481,232,664,790,948,235,838,758,978,131,399,471,522,791,476,086,755,
442,155,063,835,196,443,391,022,482,127,072,103,068,703,212,564,840,904,517,
941,198,197,973,014,617,121,802,121,709,410,610,952,428,323,070,449,200,800,
868,491,885,520,986,423,380,826,399,315,229,423,975,463,698,714,601,363,577,
755,838,402,458,552,027,617,848,917,597,962,090,517,200,880,088,170,310,888,
116,827,170,953,210,657,598,316,926,607,082,870,884,921,354,554,659,608,792,
833,295,150,573,230,770,942,858,549,489,519,897,731,315,213,696,880,879,664,
546,748,401,389,488,211,991,349,722,154,468,711,426,247,822,206,979,173,393,
630,348,071,324,633,182,122,220,677,813,172,094,674,159,728,537,932,938,388,
916,783,206,715,656,236,875,500,202,051,049,384,060,412,162,705,790,419,064,
475,922,990,446,652,308,052,897,367,014,218,544,781,804,093,086,894,933,113,
945,365,345,712,814,067,464,077,610,552,286,827,939,546,988,624,560,850,260,
087,892,375,777,800,922,583,477,185,844,132,391,496,622,978,538,424,471,797,
072,164,022,223,304,708,005,261,340,317,138,601,852,225,306,264,704,648,091,
284,476,523,417,116,645,987,847,343,260,810,388,222,119,424,547,407,665,759,
321,698,970,137,910,914,363,325,460,012,022,140,591,809,331,254,186,049,739,
618,888,596,695,570,857,447,394,458,571,047,045,072,425,875,173,934,843,043,
029,287,918,602,520,670,430,620,910,247,214,645,168,597,776,319,767,059,020,
708,490,705,847,897,932,193,749,341,770,579,128,998,829,868,474,271,472,619,
905,040,941,105,794,669,048,920,076,037,071,527,570,838,696,323,344,242,006,
132,532,128,180,930,371,295,008,982,784,586,972,468,646,596,990,724,434,486,
295,053,536,616,479,196,341,904,783,283,040,198,828,151,258,778,311,718,367,
985,096,073,745,090,750,783,882,298,627,743,313,923,303,274,888,255,932,296,
444,870,344,718,113,954,871,402,415,805,437,808,725,942,948,016,005,146,827,
742,324,588,317,453,681,833,973,783,607,890,182,453,843,974,267,055,977,838,
498,291,889,034,254,086,016,248,085,231,622,733,925,779,749,180,520,309,469,
399,289,787,524,059,484,737,401,461,477,938,797,762,614,238,858,794,306,737,
939,632,318,543,095,291,514,113,175,909,105,401,381,030,286,337,980,527,822,
069,875,036,696,303,267,428,511,599,905,210,352,761,470,908,399,941,029,571,
367,414,229,509,742,630,692,407,517,848,615,443,588,629,502,330,901,102,244,
793,260,753,590,067,783,840,053,972,520,710,281,837,919,245,688,721,758,286,
621,055,410,623,753,261,862,801,407,973,998,961,977,072,589,601,933,202,051,
380,049,928,963,003,250,618,535,741,821,244,231,542,031,071,129,082,900,325,
022,288,378,027,691,403,926,249,910,622,076,931,452,212,371,270,837,475,181,
515,614,688,992,421,796,715,044,353,921,958,666,731,126,002,203,976,548,560,
694,520,054,123,513,834,944,418,234,775,860,480,122,242,477,971,357,129,390,
230,231,598,055,971,200,473,070,916,398,646,343,773,819,449,813,515,811,798,
440,205,837,349,516,090,912,031,104,952,454,207,125,840,286,828,022,887,039,
878,154,853,511,302,030,797,192,993,686,459,736,586,834,884,721,457,106,952,
130,718,283,437,258,623,048,602,455,713,164,048,658,251,286,343,883,564,138,
112,709,926,021,837,887,709,962,846,084,725,828,150,045,743,171,482,377,254,
336,413,960,184,417,576,654,788,688,559,826,920,611,386,449,582,232,940,818,
271,360,414,749,526,363,685,942,859,207,888,109,626,893,258,620,021,923,099,
988,208,987,062,574,508,998,230,794,432,869,921,833,077,934,849,966,492,169,
790,196,164,727,305,990,690,220,811,349,208,609,946,976,037,237,526,951,510,
169,768,338,800,052,724,123,453,381,614,384,070,650,019,095,148,871,347,361,
294,311,789,362,215,146,745,574,934,120,119,320,751,217,902,645,061,806,310,
780,313,117,217,777,854,161,881,236,583,034,802,530,485,658,549,602,366,261,
742,438,254,414,548,490,375,139,011,518,148,991,539,410,077,881,230,761,404,
509,513,654,087,097,093,679,584,007,810,981,358,105,434,690,494,407,412,422,
910,433,638,028,362,496,401,728,817,348,146,894,114,687,634,331,433,070,005,
235,035,400,399,285,104,367,596,322,738,052,641,662,053,561,544,150,107,053,
215,760,218,418,395,888,816,321,224,598,215,319,908,882,403,801,386,360,402,
299,703,415,664,916,205,153,891,662,300,300,650,219,944,606,707,784,782,558,
313,332,140,636,020,686,704,253,166,641,703,732,788,640,351,067,545,586,215,
841,221,753,216,770,167,374,320,471,277,481,884,654,297,674,049,706,741,682,
595,223,606,405,079,544,312,669,000,140,333,715,575,493,847,101,456,971,323,
631,135,782,452,319,836,366,785,497,261,421,709,896,336,650,043,410,112,198,
838,575,531,388,014,840,132,858,443,823,784,944,295,482,891,922,019,913,700,
615,475,553,462,193,466,050,086,996,474,069,001,187,692,241,673,260,217,282,
079,193,161,578,144,142,494,982,245,690,235,550,713,063,777,755,476,239,518,
672,600,447,783,960,201,437,792,253,001,174,206,998,736,682,142,074,778,178,
565,210,990,848,830,891,690,373,908,183,863,159,709,459,528,626,075,914,312,
558,839,305,388,864,254,544,325,816,224,338,126,560,344,877,932,977,135,472,
471,940,740,495,800,487,302,217,547,808,708,848,899,863,769,620,140,626,667,
421,995,359,189,910,994,886,696,292,466,176,489,242,620,356,498,317,666,068,
799,366,439,665,403,116,558,241,900,014,677,526,802,188,231,808,556,771,023,
057,993,907,829,919,853,580,473,499,654,459,009,610,998,559,528,051,807,646,
638,411,452,206,773,344,936,212,408,900,762,585,927,226,908,231,995,031,249,
998,616,138,078,347,712,552,426,333,420,679,519,989,619,930,824,427,908,499,
477,087,623,487,936,332,449,982,113,516,393,502,706,773,495,748,281,503,403,
154,630,077,130,705,200,131,100,790,048,771,369,783,537,926,801,180,043,657,
983,208,777,980,266,000,914,983,753,660,258,269,706,563,507,304,466,052,333,
306,339,145,487,432,929,468,313,003,346,728,651,885,802,826,679,543,622,388,
550,881,812,943,632,027,886,030,082,640,045,834,443,081,186,133,643,579,437,
736,125,842,770,576,239,866,294,602,575,399,013,103,818,493,195,394,060,353,
317,377,185,591,227,648,971,073,894,715,003,376,048,982,824,255,509,715,147,
323,623,791,681,139,067,396,361,907,367,141,100,796,122,967,614,547,017,202,
090,068,728,925,991,698,770,977,429,677,494,849,512,291,362,973,915,149,014,
945,719,833,263,880,575,022,819,162,795,744,225,261,435,923,605,732,842,782,
932,994,862,544,015,960,969,785,638,364,250,917,126,974,819,891,542,973,814,
435,627,755,438,610,647,115,600,915,512,649,940,367,162,775,240,763,377,164,
202,257,274,402,166,967,154,307,714,815,985,329,364,954,005,204,861,189,505,
792,663,155,998,204,928,651,847,508,633,474,337,132,120,205,221,700,979,114,
452,214,074,353,033,023,181,671,746,978,070,737,899,055,429,640,110,546,263,
867,465,539,448,435,659,135,923,453,621,145,012,542,455,886,894,480,913,976,
919,084,757,551,105,113,058,033,905,232,094,881,149,091,886,013,450,962,728,
021,903,578,132,316,421,960,519,861,966,161,408,237,892,819,738,277,911,078,
182,674,524,028,432,555,694,121,417,745,206,734,111,569,202,067,401,930,854,
605,586,364,569,028,298,718,096,400,140,313,572,528,988,216,785,617,058,677,
360,191,772,302,739,918,779,134,900,448,662,179,785,683,166,184,908,349,826,
308,868,304,035,067,894,232,461,670,939,219,638,347,307,784,470,398,645,170,
166,706,472,109,483,872,257,144,094,674,782,854,558,325,793,864,248,338,003,
837,285,219,301,036,098,803,303,228,571,019,749,179,764,270,899,489,556,329,
494,484,230,608,273,185,008,660,168,054,798,240,036,835,622,595,434,156,941,
874,183,810,051,891,390,794,953,800,229,479,804,656,243,157,983,161,356,245,
166,770,509,465,566,446,697,260,068,991,010,337,078,563,034,599,911,393,274,
122,358,105,418,356,134,582,645,083,720,291,150,033,746,509,301,752,953,220,
354,153,819,000,693,105,395,030,521,380,048,638,858,936,651,490,001,398,304,
664,878,404,226,014,561,333,208,025,635,767,900,224,242,999,808,703,575,330,
738,661,795,301,677,874,558,374,158,543,578,293,405,419,222,939,065,162,724,
657,988,546,837,256,723,444,522,964,566,081,713,862,604,383,062,477,583,904,
682,350,317,578,996,457,256,249,829,751,097,376,891,244,489,276,471,732,381,
757,896,887,520,304,123,739,315,275,328,074,937,154,721,456,016,587,252,737,
854,119,734,439,227,180,953,798,351,253,944,276,128,974,545,704,584,739,429,
241,481,757,008,483,648,235,137,636,711,806,323,305,055,902,820,777,372,390,
611,927,724,593,443,215,482,348,948,312,989,222,650,022,252,673,623,714,705,
634,454,798,599,798,736,192,525,323,229,684,970,788,803,735,521,850,166,137,
161,855,777,096,067,013,928,182,155,268,276,754,243,127,688,925,966,850,857,
219,573,210,637,669,826,812,757,332,865,296,820,509,734,851,175,836,261,191,
652,154,521,307,059,209,335,538,131,716,885,440,012,142,132,653,779,797,996,
472,658,321,160,883,807,549,532,838,170,652,888,493,904,645,346,345,815,386,
558,362,009,238,373,178,123,883,851,620,632,974,223,610,663,431,922,111,362,
701,645,434,663,020,173,450,422,238,160,599,789,281,007,443,527,096,172,953,
836,910,200,468,725,389,564,707,616,225,415,078,869,065,722,529,802,307,134,
996,902,786,853,539,396,592,176,782,009,848,252,314,180,577,374,184,561,381,
149,943,770,632,852,514,975,485,989,956,771,297,469,491,453,796,355,890,894,
654,614,938,939,582,730,793,818,682,848,242,570,306,226,429,663,801,623,562,
611,322,996,882,447,682,749,781,285,502,850,615,937,214,021,478,755,510,194,
979,103,596,016,562,832,691,664,678,533,106,362,701,485,709,860,332,424,927,
937,096,023,952,873,576,186,707,106,807,454,277,228,156,023,555,129,003,334,
771,450,423,236,798,865,830,890,898,735,894,724,059,645,944,886,387,995,112,
506,309,989,020,431,912,036,935,020,499,027,795,494,037,870,673,341,742,041,
491,746,416,580,655,928,442,161,085,337,304,527,571,677,513,122,372,481,916,
219,208,273,548,467,199,257,606,032,968,755,696,041,622,969,305,496,737,969,
361,733,584,387,841,618,467,482,340,483,705,573,908,340,360,941,705,075,614,
896,312,081,719,970,556,257,687,613,375,334,880,913,806,102,426,566,666,808,
085,102,352,757,481,616,762,572,202,079,732,784,390,100,111,538,204,853,723,
117,935,674,287,577,423,494,506,252,957,034,478,980,764,245,776,215,161,746,
545,472,871,673,412,761,471,927,573,948,823,326,177,860,688,331,141,760,220,
558,600,534,687,454,358,506,958,900,158,473,602,198,183,928,308,380,229,028,
310,019,838,747,256,982,813,631,774,688,477,204,612,157,452,590,442,689,681,
229,401,407,570,297,043,598,322,819,597,783,029,722,134,563,892,064,066,853,
821,176,864,629,831,551,683,742,568,175,461,658,764,102,717,486,692,292,081,
772,177,700,613,434,023,974,737,917,815,343,261,622,710,992,675,502,129,779,
489,462,620,018,005,694,043,927,310,928,146,244,324,531,999,341,430,654,750,
758,237,462,706,849,220,217,457,066,001,500,942,122,252,718,030,185,608,863,
162,819,950,909,465,155,481,364,872,087,116,258,779,433,197,876,820,055,605,
043,946,548,083,539,092,371,991,902,911,924,885,590,828,239,475,708,292,754,
231,778,129,966,803,589,261,803,303,425,569,386,320,765,847,031,853,480,273,
398,782,418,912,955,164,916,376,189,105,452,414,686,728,343,170,206,574,121,
679,830,172,461,803,695,646,618,744,251,395,746,332,322,714,232,384,925,699,
401,150,809,135,790,118,031,381,176,475,307,296,515,094,187,552,554,034,800,
524,959,162,771,813,355,844,058,197,629,527,797,068,051,369,759,956,595,413,
389,686,003,852,283,377,110,933,632,685,660,819,747,805,249,203,994,613,035,
227,574,172,704,237,693,942,234,340,943,378,453,917,850,305,357,901,796,147,
998,973,707,943,749,191,770,404,349,760,861,531,957,079,587,468,484,792,143,
492,270,672,051,398,463,996,448,561,320,740,451,917,378,342,377,243,021,826,
210,450,057,140,128,036,190,213,691,431,107,012,112,159,394,256,911,529,882,
386,720,263,876,390,487,647,658,718,271,292,331,331,438,585,776,627,210,021,
933,634,309,830,067,681,851,595,304,271,852,568,848,558,634,003,192,938,725,
664,286,756,275,168,792,388,937,068,286,307,420,054,111,781,064,500,357,999,
392,172,206,951,253,653,537,970,274,155,719,479,704,449,171,233,531,569,133,
270,105,568,598,242,223,434,241,793,151,082,786,409,327,519,973,796,607,465,
218,207,318,154,295,647,527,219,064,423,062,391,877,409,838,277,065,240,793,
845,892,016,279,912,306,717,589,786,132,107,658,232,912,705,416,579,560,211,
852,788,243,837,006,616,157,547,468,291,893,062,867,652,194,475,517,162,318,
433,650,062,188,138,902,242,440,703,213,291,178,595,362,301,966,367,804,401,
566,981,379,626,616,709,434,094,243,011,146,696,295,600,053,473,309,561,722,
407,164,197,763,279,626,300,648,016,899,653,569,534,455,955,938,727,594,400,
058,111,260,290,380,851,279,717,381,811,418,702,943,155,825,048,330,245,476,
320,144,780,051,800,279,344,614,854,410,243,092,433,304,418,784,347,300,648,
408,089,523,257,149,983,148,555,089,777,175,125,441,542,471,983,221,753,484,
916,424,689,719,559,211,250,395,112,262,331,558,123,610,349,025,709,852,668,
926,349,764,823,014,687,040,023,864,847,028,433,517,986,589,339,679,974,989,
433,588,556,790,674,752,242,128,309,979,259,310,342,763,412,670,084,132,693,
880,431,712,851,272,109,924,490,640,172,223,314,236,146,283,623,101,423,085,
944,179,564,455,007,470,509,194,582,210,566,217,809,021,125,572,914,978,967,
465,633,667,100,459,719,736,841,822,395,674,283,702,992,674,156,412,791,050,
010,493,271,954,267,184,419,131,382,076,123,315,504,375,725,113,233,763,781,
104,545,928,164,766,116,662,065,852,051,941,835,775,752,566,159,813,145,453,
729,465,514,731,074,193,148,248,576,392,009,366,420,718,116,535,280,620,564,
528,394,333,447,538,918,150,698,834,057,457,755,407,707,054,895,625,868,744,
338,488,523,442,371,857,618,216,300,774,094,953,762,646,236,961,864,170,169,
205,955,611,804,527,385,153,465,017,942,755,392,860,618,585,599,284,537,344,
258,708,604,420,436,813,020,368,754,170,881,211,957,113,484,002,551,778,829,
545,191,681,922,634,870,428,983,910,740,963,033,157,183,369,112,412,778,971,
157,076,593,067,496,992,461,393,949,080,928,772,041,417,715,615,336,237,292,
014,335,517,361,320,554,555,386,289,749,891,241,036,026,640,266,254,090,480,
801,590,706,322,652,422,132,259,272,354,980,489,365,295,091,728,754,841,592,
165,796,675,980,974,991,294,603,703,839,305,392,107,704,619,010,210,884,350,
212,716,509,770,356,016,776,164,637,511,413,390,756,248,681,994,931,112,011,
478,850,747,838,128,972,222,422,930,921,225,842,315,669,453,194,623,714,676,
865,634,228,430,151,438,167,157,329,919,587,841,421,659,251,389,225,304,583,
672,421,928,786,867,359,242,783,735,642,003,731,106,262,154,623,948,497,209,
117,961,204,379,623,761,160,835,987,848,614,218,173,148,426,056,489,871,908,
960,901,967,324,968,291,278,815,633,954,101,534,472,487,846,082,127,075,685,
696,649,033,603,971,869,187,676,906,443,831,324,624,470,339,491,856,886,084,
200,990,432,565,088,001,718,512,514,941,179,737,360,386,120,241,011,593,948,
901,467,009,461,686,147,526,931,756,349,019,207,370,095,373,914,536,824,962,
849,915,016,860,259,488,158,148,218,364,290,698,128,292,842,583,660,191,888,
546,877,015,251,255,103,261,373,396,743,958,072,359,536,200,708,508,222,949,
940,063,688,960,269,533,032,552,006,980,192,248,500,310,751,769,899,424,702,
615,281,337,863,021,186,691,432,081,109,197,880,204,716,810,485,611,332,952,
503,723,922,220,528,785,296,524,752,797,399,237,671,779,910,370,812,720,185,
279,932,756,987,159,324,756,218,806,902,061,010,229,776,439,358,204,532,637,
057,652,309,755,337,110,104,854,569,450,122,764,386,766,471,665,776,516,485,
930,770,401,463,123,300,506,046,550,489,053,330,212,248,402,826,038,513,491,
823,442,448,668,880,900,345,471,167,744,996,000,767,365,624,687,027,622,846,
882,565,938,649,204,886,701,526,780,084,652,498,998,694,104,635,016,856,547,
270,657,390,045,896,572,037,006,224,732,743,677,336,665,528,397,023,524,870,
008,832,939,994,289,854,108,009,281,806,955,971,962,098,755,521,426,980,221,
156,532,663,233,939,824,302,673,970,271,077,033,930,451,997,343,973,966,431,
380,508,046,872,347,335,241,085,683,666,046,575,128,382,360,476,956,070,352,
988,858,355,495,207,798,614,465,254,133,614,049,976,123,499,065,317,706,557,
870,393,274,300,561,504,962,489,185,733,933,003,856,702,058,345,501,171,434,
889,736,778,339,346,155,980,349,180,030,856,415,224,094,591,023,818,414,177,
268,196,538,134,360,172,232,286,266,036,245,405,071,415,499,719,749,239,391,
028,224,832,185,551,113,263,826,470,151,197,438,553,632,101,308,515,858,573,
486,398,095,347,414,354,365,020,776,198,726,743,130,671,071,601,775,179,524,
434,461,740,245,999,415,589,700,447,579,039,272,047,787,139,543,747,250,546,
155,856,635,729,212,508,209,274,709,584,002,698,588,446,616,491,038,256,037,
451,826,356,300,455,299,834,725,617,297,435,729,965,023,660,081,376,345,413,
986,870,866,205,424,887,975,712,964,928,591,742,291,316,430,354,332,983,524,
588,607,104,977,753,189,233,958,026,698,665,727,881,032,579,469,179,057,796,
693,428,882,658,160,326,491,032,496,118,217,546,800,848,462,005,409,133,291,
336,446,293,657,748,512,184,562,653,448,993,616,407,437,349,120,631,872,766,
489,230,214,579,722,016,998,885,968,105,519,592,191,518,286,983,990,448,178,
651,853,896,516,595,495,680,676,415,568,846,662,401,484,244,289,043,225,204,
692,442,143,126,187,456,975,752,419,795,558,137,152,270,398,581,689,763,554,
075,868,402,786,852,718,849,269,124,125,586,746,053,168,751,644,028,707,114,
076,752,639,895,980,138,871,685,811,335,206,762,658,081,267,887,863,423,580,
639,866,864,962,624,832,911,115,562,180,240,504,484,919,006,598,272,297,877,
525,271,915,580,093,059,568,030,473,860,068,131,987,166,746,880,942,210,359,
685,155,574,231,925,590,532,352,120,498,444,898,720,125,491,956,339,923,869,
513,574,369,429,797,251,519,590,859,646,638,674,905,177,295,061,697,635,389,
587,423,463,051,949,257,680,762,831,399,715,596,839,956,894,593,431,811,586,
489,482,178,394,838,850,512,068,124,949,210,779,976,733,895,752,795,509,887,
829,486,541,603,480,775,302,905,048,761,936,055,769,007,286,078,176,496,304,
229,330,033,440,604,519,234,991,946,877,990,248,184,057,652,650,718,005,296,
874,656,437,953,093,067,079,780,196,615,655,537,767,971,231,728,691,988,746,
034,614,959,088,572,452,552,057,953,913,770,071,234,098,699,216,844,844,875,
880,947,352,086,732,237,318,559,373,073,316,891,947,576,402,181,153,824,747,
884,645,654,520,703,662,643,463,924,295,919,787,455,312,077,000,827,687,073,
254,366,478,336,339,919,454,152,555,949,139,274,220,759,528,576,796,622,574,
877,282,928,079,584,855,406,087,308,416,499,229,649,732,870,695,107,241,890,
299,394,694,472,956,507,960,275,794,784,772,739,361,675,988,044,032,961,673,
281,359,325,921,039,961,487,977,532,840,542,818,370,390,409,428,470,477,517,
132,625,176,447,356,980,311,733,729,098,856,552,886,434,917,828,066,197,533,
211,261,948,940,885,126,842,443,783,367,004,115,727,046,640,435,347,745,135,
866,324,935,464,275,566,794,124,673,404,374,857,283,490,750,028,276,498,791,
902,830,058,112,005,245,717,918,729,786,128,599,871,463,754,305,453,146,713,
767,087,033,682,499,443,160,733,815,078,642,859,632,737,520,854,402,068,074,
662,401,185,802,501,760,727,843,590,926,654,930,981,386,384,352,726,458,745,
031,963,688,200,378,970,286,831,158,434,377,944,833,647,863,012,187,663,211,
346,135,452,939,195,893,233,803,377,413,452,546,053,101,855,353,403,592,615,
193,246,397,714,224,316,853,967,767,454,506,101,280,447,490,817,760,785,573,
470,943,236,050,020,121,698,175,440,862,819,828,131,668,505,919,545,356,187,
169,471,790,709,270,073,259,359,812,643,179,439,778,575,897,914,242,255,469,
068,328,058,929,242,148,593,106,157,612,546,824,584,378,588,807,631,387,006,
158,581,944,891,870,786,101,242,298,586,848,083,251,573,485,326,899,510,371,
913,957,074,839,932,879,974,532,617,987,731,020,580,546,256,411,563,251,524,
674,505,640,531,395,822,643,970,499,948,316,538,084,791,556,455,206,549,873,
216,342,683,927,483,555,557,520,055,469,839,997,352,732,460,692,014,702,154,
415,905,236,477,885,879,440,246,761,040,384,655,634,944,606,436,379,202,190,
323,213,017,818,688,189,216,985,280,026,446,292,220,951,931,860,339,978,895,
893,096,818,304,737,763,166,446,219,608,976,709,240,219,451,790,559,871,402,
443,912,915,236,058,395,575,914,937,620,715,006,498,290,616,518,949,635,858,
194,007,413,354,932,489,336,839,758,370,748,053,272,213,997,183,531,353,289,
774,485,822,264,273,987,169,505,292,150,160,742,602,176,533,964,133,141,259,
520,854,883,450,750,790,930,337,225,692,378,484,183,231,361,335,803,410,294,
441,669,908,358,799,276,983,823,293,771,492,804,778,826,513,266,107,238,415,
846,360,563,352,706,301,398,829,693,602,044,439,621,749,565,105,553,471,635,
874,411,712,230,947,408,157,095,204,238,897,332,060,730,949,415,908,805,219,
455,328,827,499,241,671,627,802,222,993,540,325,317,962,655,420,512,091,087,
633,633,377,113,656,842,385,623,956,742,423,245,352,332,375,063,128,610,845,
502,303,421,641,539,985,901,403,233,629,589,645,516,704,491,212,592,577,204,
925,500,487,227,132,845,935,710,209,428,605,068,438,957,159,822,879,466,390,
990,253,608,664,444,191,375,002,882,976,532,292,534,258,154,377,435,063,421,
004,322,382,345,849,919,916,075,038,853,843,668,780,705,171,075,188,440,597,
821,745,915,800,039,725,483,738,419,733,155,475,840,645,908,986,490,757,985,
621,302,882,261,912,491,984,191,804,103,029,070,325,887,944,586,657,768,600,
040,255,931,567,290,848,292,458,707,154,403,951,667,462,211,047,037,478,554,
356,170,407,141,808,589,727,970,324,410,749,516,448,669,585,551,013,683,682,
676,732,631,429,743,373,374,528,745,159,149,166,787,973,519,089,653,357,792,
063,134,259,977,523,511,514,038,662,451,123,884,540,711,003,834,880,301,667,
051,849,430,064,293,076,861,812,838,049,604,810,947,832,527,017,474,976,642,
817,073,920,090,947,047,347,794,911,274,606,370,092,743,115,833,957,957,986,
088,333,969,525,383,921,556,206,676,073,131,313,726,304,769,902,428,947,715,
642,322,942,639,594,213,169,177,953,030,672,977,956,553,424,033,988,627,323,
619,108,929,854,078,370,494,604,150,391,434,890,944,055,095,460,060,274,614,
024,853,527,585,018,691,985,292,912,958,183,052,446,526,507,632,352,696,956,
591,318,624,620,015,451,874,177,538,107,428,004,173,892,044,950,697,203,676,
359,802,050,500,676,699,960,002,722,244,765,386,418,630,081,954,943,804,905,
017,959,462,418,593,217,543,498,319,108,627,446,755,763,526,728,439,562,834,
890,945,807,624,531,114,029,921,268,632,556,166,445,169,282,725,586,978,079,
073,748,408,344,532,175,274,736,027,475,150,154,682,453,321,400,547,991,946,
164,298,627,383,970,762,962,944,580,614,497,433,259,411,369,869,297,877,563,
023,978,569,730,059,377,062,975,132,680,950,795,898,698,161,243,747,208,958,
429,783,313,023,550,071,917,913,553,233,489,092,276,402,351,501,678,576,200,
404,540,025,466,364,666,028,989,211,627,379,076,906,425,157,885,229,718,888,
241,408,772,157,485,352,050,342,835,282,826,618,656,519,380,140,054,247,206,
533,697,778,848,378,246,756,065,476,422,831,283,072,982,594,836,905,575,984,
030,054,074,920,318,104,360,265,234,126,270,519,356,343,128,592,501,837,856,
637,285,883,486,049,122,017,288,031,264,196,069,494,303,904,928,613,573,861,
410,894,228,464,598,172,007,643,939,044,383,849,046,272,089,065,315,796,112,
357,677,109,001,908,055,025,473,010,346,207,389,975,807,897,951,850,267,982,
329,063,042,974,425,382,444,418,840,858,622,272,582,781,730,281,778,039,757,
152,098,816,189,788,254,888,126,686,209,637,259,928,546,825,893,391,342,027,
050,720,551,675,685,631,736,131,134,875,283,620,809,305,226,438,423,190,938,
109,482,058,261,029,625,678,422,926,790,940,816,515,030,137,602,411,333,655,
594,500,803,854,887,064,791,668,489,065,808,516,781,551,626,492,855,517,132,
791,435,618,545,401,608,791,865,083,180,073,331,909,995,960,444,105,205,901,
262,789,380,983,116,284,686,923,357,388,499,694,433,564,241,584,092,850,000,
382,553,124,459,830,402,443,722,107,998,384,812,581,386,318,655,813,427,163,
415,585,089,621,233,753,440,548,318,493,015,586,085,981,455,251,064,681,968,
645,664,537,191,977,700,536,586,888,538,915,673,855,033,601,498,593,205,715,
993,536,238,646,614,241,570,063,947,127,725,972,659,498,806,702,883,662,365,
450,972,295,181,311,775,128,906,388,537,992,840,808,413,273,211,627,000,845,
125,311,251,236,824,451,824,574,434,141,009,567,508,416,047,115,001,978,359,
435,731,993,955,173,072,631,947,649,781,414,053,608,505,910,895,518,089,430,
775,945,182,622,883,800,719,646,845,152,800,227,707,894,350,342,193,231,741,
213,056,993,721,193,128,449,860,684,915,287,035,715,879,811,554,738,470,238,
001,084,376,187,274,981,981,384,850,813,453,560,991,428,206,369,678,972,555,
644,616,275,799,447,958,752,213,213,887,608,902,318,847,577,963,756,847,097,
626,925,370,180,593,796,515,526,713,989,099,522,147,994,392,418,328,736,534,
086,323,462,358,726,733,498,579,227,951,685,227,530,480,773,912,798,453,131,
523,721,328,085,490,849,997,601,326,848,305,001,485,853,516,574,523,638,632,
200,679,894,244,371,879,863,448,795,148,279,341,163,360,626,593,928,201,882,
951,726,351,492,904,486,252,339,897,947,492,362,941,900,431,409,988,112,452,
072,321,661,071,180,180,079,193,102,592,008,801,717,695,514,227,325,865,450,
384,841,012,489,564,012,376,721,666,817,488,293,359,019,594,503,666,782,680,
506,189,175,531,733,073,385,692,090,190,193,023,072,459,972,511,751,328,350,
125,205,311,856,819,959,664,525,414,259,120,944,338,172,005,426,137,416,683,
716,895,866,743,893,561,443,788,430,006,567,057,597,861,930,627,357,605,615,
405,182,863,565,692,390,743,796,494,744,834,139,682,168,471,795,496,249,431,
505,712,979,125,384,030,036,676,292,348,610,146,522,729,142,871,660,443,007,
670,444,004,137,705,043,161,900,035,375,296,818,340,704,811,992,881,244,865,
422,667,312,963,331,547,947,776,737,952,033,909,893,325,071,886,379,668,443,
445,586,211,381,348,571,318,110,105,427,546,186,548,084,419,543,986,119,306,
995,863,077,305,590,594,484,977,671,503,785,181,349,760,725,601,052,725,932,
417,321,726,949,844,654,393,374,325,160,827,410,532,135,518,546,667,261,721,
396,784,473,376,112,375,438,002,933,934,992,214,912,468,101,161,986,825,775,
401,941,438,703,230,824,777,710,637,475,735,118,101,326,927,842,070,118,406,
794,992,435,322,693,589,577,089,913,030,200,654,072,448,962,429,772,571,680,
649,273,105,376,621,686,017,499,063,879,607,450,353,087,715,396,646,473,940,
876,774,756,365,665,595,069,178,518,094,745,053,130,051,826,103,439,699,250,
063,033,103,752,550,778,900,854,974,682,260,153,694,094,230,708,063,538,354,
867,290,037,333,185,462,505,258,273,710,969,041,005,970,631,175,985,852,009,
870,480,445,733,112,111,540,363,420,457,866,852,767,762,173,449,892,821,670,
817,771,011,461,111,628,034,096,258,563,317,272,918,743,116,377,523,353,148,
177,298,467,287,194,518,466,521,562,849,727,731,600,149,337,652,404,788,690,
037,075,140,395,458,893,426,977,373,405,443,826,929,598,811,226,086,641,356,
198,916,228,082,021,028,582,397,898,566,888,717,585,748,759,612,146,231,387,
280,128,930,283,977,253,384,986,339,812,920,457,303,434,606,550,527,219,901,
921,335,571,861,802,338,944,930,916,076,380,366,577,943,946,085,120,096,442,
017,775,605,307,941,038,731,481,743,847,387,459,559,075,518,553,590,959,213,
015,603,920,987,439,377,049,081,794,788,997,743,941,919,776,889,834,188,929,
953,747,841,779,131,899,698,315,053,816,598,808,885,118,304,958,415,591,908,
104,441,134,673,903,940,210,910,811,301,964,595,637,525,085,231,573,478,989,
647,885,674,580,886,769,430,027,748,849,598,508,753,472,566,673,029,618,643,
598,874,064,882,577,329,247,060,157,732,516,508,381,272,152,964,824,246,746,
935,975,672,369,048,774,149,324,704,096,770,577,312,419,139,883,966,570,630,
480,099,234,450,515,186,278,354,970,320,982,216,190,330,945,550,985,738,695,
866,215,286,043,855,116,385,007,049,462,363,094,004,161,164,903,075,977,959,
816,443,676,556,583,540,054,597,826,946,110,471,062,833,972,015,052,024,801,
577,403,717,258,125,175,917,708,603,592,597,548,629,670,690,973,808,892,776,
580,604,791,164,393,087,716,191,950,898,758,253,360,040,636,394,043,547,693,
961,174,855,440,607,653,889,532,094,492,061,815,303,842,416,280,687,428,394,
396,727,181,907,522,730,020,983,071,917,306,070,238,381,005,375,572,304,359,
876,904,454,346,712,263,823,633,463,681,380,656,095,379,689,069,037,998,778,
942,718,712,630,629,673,887,485,358,519,521,659,268,800,022,843,731,546,160,
702,808,771,480,793,839,469,778,546,627,636,914,511,688,414,013,828,086,064,
124,714,605,175,292,870,505,677,582,189,264,558,747,434,737,586,269,891,290,
397,941,807,354,592,965,933,693,246,241,146,983,768,712,936,610,065,805,193,
813,425,150,533,939,681,772,676,982,624,280,877,241,884,164,968,476,058,109,
202,048,756,907,622,100,993,234,970,942,657,004,172,017,861,457,084,978,192,
709,417,293,580,600,238,484,931,958,869,356,807,450,547,447,225,138,767,133,
313,964,449,551,866,800,626,622,834,882,089,085,103,296,536,580,339,935,488,
539,442,666,576,055,459,954,078,136,100,724,005,478,687,564,149,569,623,164,
760,886,518,212,501,981,136,680,354,856,381,178,760,347,581,473,342,656,762,
768,184,548,749,136,679,212,083,342,798,286,057,280,845,669,029,280,532,858,
884,492,247,064,818,849,459,610,348,898,302,718,494,440,332,567,383,921,755,
468,595,191,856,668,467,241,899,334,405,712,318,740,843,202,166,369,790,100,
041,472,932,329,343,885,414,201,007,611,328,184,987,800,873,140,117,239,200,
365,457,209,343,937,920,493,723,824,051,755,785,079,397,110,622,835,771,365,
423,199,528,520,622,056,861,945,940,049,988,887,671,816,954,893,869,698,581,
243,883,794,469,519,900,714,411,041,625,578,303,996,104,365,774,875,020,125,
049,325,173,328,067,398,472,607,633,204,818,418,310,270,860,667,829,408,819,
603,516,378,964,687,069,181,232,012,330,328,998,704,119,574,827,536,799,231,
942,835,348,190,686,297,575,293,415,188,613,288,689,701,174,756,034,920,030,
648,401,372,876,842,938,801,302,911,690,576,308,393,543,834,229,013,456,772,
188,695,642,100,829,521,361,076,169,413,088,860,301,136,725,017,301,468,908,
725,919,016,492,178,163,997,080,350,764,772,116,240,709,581,690,658,606,638,
401,840,336,953,674,972,431,993,250,773,679,776,573,489,039,204,340,429,763,
250,989,059,367,461,470,389,182,788,748,871,838,571,757,722,183,622,730,965,
172,902,135,842,863,936,757,685,684,782,721,308,322,250,198,673,216,226,020,
319,581,237,568,340,797,812,909,400,151,054,687,591,378,740,550,212,541,295,
123,153,483,312,604,184,115,569,103,154,897,384,208,005,281,818,003,854,240,
953,063,137,732,398,001,475,367,989,708,181,998,364,725,294,341,941,473,219,
535,814,382,845,186,926,577,005,774,879,739,468,120,949,419,868,471,909,843,
757,366,214,847,840,242,970,575,898,533,690,535,032,801,622,062,742,500,846,
360,657,637,525,819,188,546,279,818,282,131,907,541,295,314,838,928,926,385,
679,839,805,891,622,744,157,099,454,910,033,908,458,127,053,685,611,196,136,
736,967,342,301,934,104,300,090,417,789,803,120,346,344,830,573,163,328,978,
623,878,256,275,311,233,012,707,167,983,892,141,273,218,660,024,053,175,596,
667,388,862,421,766,702,761,725,793,306,758,549,703,598,070,845,913,498,509,
398,521,127,814,826,813,308,777,021,565,070,812,533,325,435,132,598,227,100,
249,189,564,159,780,369,695,870,599,141,669,912,123,448,575,975,589,905,760,
640,867,972,946,400,851,663,355,953,628,373,103,842,052,682,041,909,320,395,
627,027,518,931,609,604,481,336,783,346,483,610,104,413,756,933,610,333,217,
699,281,822,822,169,790,049,743,328,653,138,202,313,417,184,110,158,088,016,
229,914,362,093,491,827,260,722,842,654,740,848,791,705,544,502,986,964,327,
580,901,923,327,059,496,396,766,565,297,824,104,763,023,422,811,224,902,309,
921,668,847,381,650,637,231,648,468,273,862,070,721,325,558,904,973,316,094,
714,015,312,632,091,642,169,301,916,160,340,157,872,071,327,678,685,878,056,
835,867,077,312,172,018,713,604,771,714,126,302,289,234,750,814,131,364,695,
875,038,385,646,811,957,325,811,725,787,376,348,385,825,447,404,042,146,994,
529,506,536,093,738,831,691,758,067,877,244,098,108,092,948,072,606,307,372,
247,878,443,053,130,767,441,190,881,863,208,229,316,710,586,148,377,716,143,
876,266,975,353,513,426,993,341,869,329,530,287,056,255,651,140,387,309,822,
371,797,741,384,054,764,210,484,116,296,373,450,058,730,301,374,724,753,617,
927,110,813,878,644,283,890,753,294,800,690,853,456,439,334,560,726,900,267,
501,142,945,526,476,803,968,110,536,110,353,028,042,547,193,207,494,474,459,
389,493,096,902,411,520,928,311,207,120,353,496,056,512,892,787,660,411,494,
500,182,191,759,426,831,595,702,357,690,934,362,389,535,327,251,604,575,899,
603,099,680,064,528,701,050,171,293,402,607,924,714,705,684,290,308,127,750,
996,354,445,720,784,256,159,692,008,931,327,533,669,914,227,708,122,297,709,
499,511,869,394,104,587,274,812,526,660,106,834,935,050,642,344,366,552,117,
225,423,993,821,363,873,433,245,508,927,858,375,406,556,773,980,401,168,119,
378,916,611,488,466,376,600,336,662,888,136,447,979,641,348,267,938,085,687,
790,089,234,112,087,038,422,566,000,058,359,280,018,175,870,431,691,716,555,
719,632,308,532,216,898,188,156,428,570,490,705,665,785,903,992,179,897,587,
317,995,349,746,312,418,247,093,431,414,400,489,761,515,034,505,431,219,639,
282,333,190,618,026,971,018,999,082,863,906,404,469,309,128,836,091,948,645,
910,031,386,843,497,659,124,969,442,615,460,219,229,065,872,040,405,907,532,
873,806,188,849,420,420,981,884,020,010,850,719,768,036,354,160,992,651,093,
606,374,085,363,448,068,976,757,501,807,478,957,195,020,668,231,823,813,807,
136,260,317,591,473,698,614,598,680,927,084,362,506,939,297,025,760,698,059,
951,200,346,140,627,100,219,675,731,631,102,625,925,675,438,153,043,325,001,
601,974,058,628,361,433,001,455,455,108,479,487,676,669,986,303,718,096,870,
212,744,933,472,870,020,427,005,255,089,574,901,269,351,664,539,779,250,026,
029,623,669,212,505,226,172,956,083,736,634,804,979,992,310,684,959,001,331,
253,216,069,444,218,696,701,947,410,735,608,720,530,020,116,780,039,097,355,
934,936,319,979,745,665,345,458,744,950,939,950,187,522,084,471,570,948,502,
665,509,104,135,137,698,207,180,412,562,450,456,024,057,570,380,255,271,845,
819,781,456,075,482,309,968,126,572,732,065,669,024,192,236,128,673,441,824,
640,344,534,766,860,919,754,319,736,298,087,184,594,102,114,125,380,649,152,
263,999,376,073,832,971,079,205,101,661,869,482,271,289,425,923,818,858,396,
777,869,844,014,569,297,973,567,773,964,026,389,936,309,248,086,748,723,214,
103,325,042,725,004,221,421,264,110,096,065,822,827,539,350,855,995,359,114,
349,102,053,458,538,415,045,619,009,488,525,496,652,510,010,007,836,668,208,
557,536,463,003,188,521,810,478,879,119,145,529,617,277,986,249,204,630,018,
508,187,174,795,068,922,470,608,596,353,808,829,190,286,054,775,773,212,741,
064,575,932,684,167,590,631,893,531,115,681,657,735,020,646,320,148,849,424,
420,344,279,342,632,940,018,865,610,086,829,311,288,665,530,653,293,152,662,
240,454,081,137,094,838,818,071,094,333,425,938,830,678,484,556,540,174,031,
396,796,536,714,716,186,946,451,564,434,401,280,591,144,394,846,834,434,336,
499,419,808,593,262,399,291,748,967,280,491,975,080,433,687,978,727,158,332,
465,916,206,277,386,682,065,611,347,757,754,241,395,566,047,637,409,191,107,
500,076,985,192,421,556,676,911,425,125,736,923,813,705,128,297,436,681,720,
106,718,440,502,898,520,024,411,246,420,965,986,399,895,720,226,834,316,506,
003,895,145,689,573,605,712,512,886,771,450,189,872,678,575,169,731,684,041,
623,837,531,844,436,223,143,203,692,937,948,332,345,918,514,495,738,772,637,
037,848,343,904,559,116,667,594,381,050,419,026,601,761,862,270,434,397,599,
977,287,859,924,171,111,773,576,721,001,577,634,198,520,673,118,787,381,020,
783,569,699,565,798,550,602,736,384,962,729,413,783,378,489,610,775,795,037,
331,294,068,600,107,427,985,987,466,451,197,678,244,871,573,341,928,345,253,
252,409,754,502,807,993,216,005,721,403,852,644,090,763,309,602,674,518,676,
125,999,605,704,947,361,583,217,459,115,944,489,207,133,618,418,137,114,781,
707,616,664,338,798,022,078,755,362,061,991,163,780,021,074,964,594,605,042,
764,888,708,334,700,526,498,977,656,435,738,482,141,805,195,699,445,541,969,
421,218,241,337,977,690,047,345,777,387,696,920,922,702,195,639,132,628,075,
603,744,229,907,551,425,123,499,926,885,145,282,118,362,405,375,935,223,115,
821,808,353,462,898,873,325,030,109,494,516,797,886,674,136,234,450,814,287,
383,898,251,266,801,544,977,117,924,411,815,967,302,854,671,876,904,723,890,
417,988,558,329,518,417,035,392,056,222,601,581,871,311,206,549,610,650,131,
088,738,019,647,550,742,477,331,436,122,298,261,554,119,618,700,356,282,441,
605,882,646,882,138,356,519,411,182,399,293,771,827,059,520,784,809,926,721,
923,570,491,660,791,719,048,798,577,517,250,259,423,035,593,590,619,290,054,
842,786,665,735,694,954,623,268,450,007,435,850,989,800,137,660,811,304,084,
175,128,937,417,570,539,463,438,938,734,504,189,265,833,084,291,697,402,807,
935,492,351,237,080,330,943,224,810,699,298,165,640,852,654,545,005,025,883,
038,928,142,533,531,751,164,417,706,812,570,579,895,610,855,078,334,170,077,
216,807,153,542,250,406,831,423,275,369,698,317,233,975,419,388,535,086,961,
456,663,001,271,553,145,104,983,726,131,388,669,654,916,758,051,391,451,291,
892,274,701,191,682,070,096,997,361,197,168,666,279,520,381,010,044,012,066,
638,638,567,421,680,297,578,181,886,753,165,993,502,721,234,507,497,963,358,
480,825,195,149,308,800,558,168,269,599,541,453,060,045,048,438,721,526,983,
896,280,572,138,411,987,089,713,157,317,234,857,966,800,079,812,405,810,183,
112,986,727,836,136,331,563,869,768,791,510,105,699,740,613,816,212,542,881,
335,143,874,223,589,105,000,772,336,185,440,026,486,223,387,611,351,680,564,
842,988,209,210,471,206,940,021,109,030,510,573,885,836,402,237,738,461,847,
376,838,095,733,778,428,343,347,186,610,055,511,877,113,462,932,405,352,409,
325,194,589,821,545,810,467,912,810,297,286,689,488,235,602,420,011,993,319,
257,221,179,562,747,456,447,278,735,439,573,821,366,040,776,330,122,270,780,
456,742,054,039,465,967,791,344,439,229,460,471,865,015,063,888,853,345,895,
659,378,440,111,184,226,100,310,156,108,283,121,930,469,030,757,405,381,515,
090,040,245,085,724,880,335,125,645,937,405,160,144,146,732,250,631,582,865,
445,741,884,830,426,214,337,531,612,987,975,484,165,189,086,960,240,398,757,
762,544,281,096,904,536,813,278,019,493,446,009,248,977,197,606,970,027,213,
978,568,190,159,764,553,399,883,145,627,089,757,019,554,044,507,596,761,029,
950,223,359,858,819,960,463,018,231,540,831,138,543,745,915,781,901,426,915,
543,160,652,646,810,485,459,954,993,911,114,675,503,545,112,294,890,172,608,
912,604,693,670,672,101,965,783,166,225,324,711,805,046,197,323,958,826,155,
725,013,213,072,156,554,351,939,351,242,286,169,977,717,363,472,052,605,172,
796,598,352,341,069,198,938,559,480,108,719,255,187,519,589,275,896,675,732,
558,794,452,575,675,805,725,581,036,653,856,235,447,218,580,096,818,683,479,
897,840,224,623,413,751,766,545,133,429,346,965,285,502,633,356,014,762,556,
447,200,619,762,259,886,991,599,636,611,039,597,179,669,395,980,133,757,026,
793,241,329,867,665,165,125,319,980,341,026,055,326,132,168,535,748,924,509,
494,060,966,396,900,996,885,632,789,958,788,046,816,201,808,051,271,327,386,
410,662,696,662,459,635,241,302,023,301,532,522,111,093,578,132,494,745,016,
773,374,347,319,586,340,532,408,881,900,538,784,177,726,793,785,488,498,647,
866,890,642,125,880,431,697,904,776,580,597,059,690,043,917,382,379,029,445,
574,521,679,028,690,933,391,067,752,773,551,220,471,802,464,580,432,478,203,
805,805,874,653,387,886,445,717,334,393,713,422,465,295,615,131,771,814,878,
148,652,791,839,047,188,221,024,718,956,082,499,740,283,318,378,024,749,727,
001,606,810,563,558,661,568,916,937,650,153,119,289,836,231,633,185,616,068,
094,313,746,226,808,284,036,177,701,693,536,639,507,093,898,388,430,921,953,
361,941,249,266,359,284,128,684,550,207,869,246,736,163,148,479,808,001,410,
995,251,513,562,388,277,628,748,478,445,320,297,800,533,451,859,169,444,945,
295,477,202,690,803,148,625,292,455,814,789,465,288,880,527,506,194,592,129,
981,860,561,030,010,001,395,941,980,121,344,302,576,675,511,252,144,842,874,
102,547,869,583,448,015,959,977,028,691,007,465,722,830,342,413,719,659,394,
999,731,330,154,243,943,809,164,914,012,087,486,564,910,256,569,368,818,931,
069,366,337,233,206,092,961,126,891,843,205,687,479,573,475,408,399,767,695,
500,553,099,682,879,659,790,677,711,839,573,773,101,768,281,733,712,383,166,
949,875,990,959,889,833,043,817,185,619,851,657,591,865,291,945,734,594,441,
307,107,460,491,552,303,410,277,297,053,169,944,693,187,621,302,743,186,545,
409,458,263,881,132,350,286,770,684,097,639,075,920,253,113,941,844,972,368,
972,178,614,493,688,751,348,119,795,238,257,476,626,384,098,011,961,326,557,
887,574,589,971,881,052,881,665,901,974,236,657,018,185,619,758,751,004,596,
724,545,421,620,427,368,010,634,942,446,121,221,280,830,190,439,964,313,297,
860,186,387,529,772,626,839,203,595,166,636,137,492,130,911,117,145,218,764,
602,723,418,465,628,187,876,580,668,448,498,969,175,943,521,130,952,632,669,
805,092,585,737,060,966,262,238,198,680,673,761,090,838,046,505,378,580,837,
782,064,983,448,975,528,759,098,110,248,918,568,965,864,048,113,782,461,239,
458,101,839,988,348,798,857,903,860,145,243,073,193,302,378,478,343,843,365,
834,150,562,782,118,967,173,431,785,718,672,567,606,710,129,656,113,112,445,
544,725,135,265,900,487,046,323,476,375,395,593,209,239,002,550,506,907,560,
872,098,810,474,895,096,238,338,861,952,973,002,561,944,447,667,320,264,397,
865,692,801,531,659,592,760,938,182,567,894,706,180,810,429,001,054,222,053,
539,928,004,533,939,387,422,517,089,546,555,078,073,220,263,014,655,667,963,
128,915,029,911,402,428,389,875,548,221,680,142,056,022,310,288,630,603,094,
211,774,529,107,301,293,962,434,930,903,390,487,903,956,817,129,900,371,592,
424,503,182,167,393,217,017,544,885,440,693,322,278,414,065,358,122,080,738,
046,868,426,102,979,134,499,540,529,654,550,417,174,203,156,174,824,265,309,
675,377,971,169,965,054,388,326,608,565,795,562,489,749,086,633,262,683,119,
806,336,093,996,709,089,686,172,375,039,853,733,901,435,193,418,797,841,976,
616,746,015,185,798,182,110,603,803,289,152,672,488,953,879,961,861,587,935,
869,392,015,191,157,173,976,848,106,120,817,481,150,514,218,192,974,163,457,
074,399,136,587,292,032,256,433,567,822,668,511,885,512,661,733,656,040,366,
888,766,916,321,686,128,285,831,946,140,196,915,488,919,069,365,774,753,640,
367,294,016,101,838,141,155,427,278,024,654,877,016,914,835,303,035,961,770,
910,281,644,369,297,935,756,844,491,519,502,719,650,495,648,784,731,098,356,
988,979,957,431,551,873,751,761,910,457,680,013,835,206,841,195,104,139,619,
633,562,068,417,972,894,435,440,775,635,895,433,876,832,628,533,907,722,087,
098,495,880,200,922,320,533,621,400,643,845,768,904,077,857,196,369,935,958,
706,983,731,147,422,252,915,407,970,958,977,758,895,971,234,204,406,579,527,
184,475,838,063,582,981,995,021,553,876,135,505,054,602,464,094,716,193,288,
526,893,306,142,480,221,058,518,273,946,571,728,450,272,983,523,974,810,392,
586,831,577,107,030,220,295,329,166,837,730,612,099,391,751,486,276,430,137,
495,511,536,345,113,584,335,299,139,565,594,733,667,440,424,324,196,265,339,
301,759,337,159,741,186,101,325,899,370,908,724,171,166,469,661,057,755,282,
667,878,283,128,442,627,014,745,275,004,484,758,647,643,988,396,677,905,004,
772,865,195,718,719,169,740,108,379,949,057,636,607,287,174,390,352,743,382,
829,415,106,956,600,793,247,703,211,247,301,420,340,001,994,408,688,525,015,
168,344,949,227,134,433,471,978,182,597,529,313,811,646,814,630,952,260,885,
563,091,349,314,069,443,780,644,076,975,881,491,975,070,290,836,811,550,325,
251,014,115,679,093,018,574,728,757,017,848,703,622,683,674,865,087,965,001,
481,937,964,521,431,589,710,540,490,468,072,401,808,585,110,805,810,338,247,
166,353,615,130,876,718,832,399,878,511,893,316,483,418,011,891,514,742,355,
321,025,941,972,741,416,307,113,477,598,937,757,604,669,898,743,105,165,253,
455,458,560,888,613,150,317,281,451,035,861,774,437,439,998,538,559,730,909,
377,027,311,897,596,184,202,813,842,472,149,744,649,495,488,418,186,252,836,
967,669,202,080,346,546,079,648,234,300,257,711,016,142,622,420,491,597,564,
098,024,168,271,703,163,393,434,530,291,813,790,949,514,643,597,859,341,027,
635,687,293,293,730,148,058,560,433,460,831,059,990,428,439,835,441,487,470,
048,184,525,391,151,158,126,286,499,076,546,143,304,722,591,656,308,644,969,
989,786,684,097,531,793,494,649,791,176,324,262,199,632,205,858,832,055,344,
688,264,328,961,019,652,586,058,150,994,034,689,889,571,166,635,344,535,148,
991,226,297,493,070,462,041,012,588,578,461,208,691,458,925,507,293,675,038,
361,385,879,231,484,955,072,906,338,495,262,275,736,213,268,661,943,666,967,
413,464,475,394,972,223,452,515,858,180,250,518,027,434,145,034,335,416,380,
993,030,794,924,732,486,357,183,962,266,584,061,416,405,724,609,192,652,143,
532,912,750,255,603,045,068,278,679,267,196,709,858,943,443,660,312,577,680,
267,200,462,419,094,321,679,467,578,780,507,870,204,078,407,050,337,471,627,
978,286,341,951,911,928,281,924,523,812,485,011,545,857,154,837,114,339,377,
227,219,187,926,868,282,086,930,225,485,665,770,803,262,840,034,324,855,426,
050,565,394,156,807,988,613,230,601,502,611,342,430,482,589,016,910,558,501,
229,877,694,569,453,652,976,099,097,730,128,865,311,296,976,494,958,551,836,
071,938,361,303,868,572,422,574,068,011,945,678,556,917,850,119,455,941,490,
098,961,941,803,484,927,580,742,076,563,720,766,630,879,015,757,674,668,521,
177,318,054,795,363,325,268,619,482,212,340,357,559,755,799,651,748,255,355,
293,162,538,932,464,696,499,763,928,145,928,809,280,847,624,397,619,538,977,
266,061,393,201,410,987,842,914,307,425,735,666,952,440,916,417,976,814,408,
256,201,106,087,959,213,725,614,164,911,375,841,744,461,692,357,851,414,553,
755,660,514,237,529,463,465,412,906,913,855,088,987,784,462,216,384,050,762,
152,083,059,217,152,596,594,576,357,108,727,052,329,208,708,255,592,494,425,
403,262,841,535,982,531,626,565,657,440,840,578,457,889,831,183,498,960,615,
590,056,317,877,124,030,441,885,657,409,516,822,301,922,260,562,624,909,790,
314,998,728,618,740,033,371,368,323,472,339,135,670,119,986,394,500,879,572,
652,185,071,716,475,133,697,699,290,515,154,937,143,797,867,561,751,014,206,
879,792,976,745,004,514,803,512,783,511,928,307,435,738,256,609,265,752,380,
169,522,829,077,617,598,912,268,408,455,111,201,711,294,219,916,117,561,907,
183,437,617,769,214,462,028,826,024,207,596,866,929,260,059,765,659,359,706,
737,634,696,146,719,650,738,051,820,647,902,658,030,081,958,461,225,379,010,
930,672,490,397,055,797,574,170,861,352,038,741,152,639,863,181,273,860,991,
890,262,244,757,339,128,389,921,694,099,591,798,935,555,278,542,754,955,099,
918,976,362,174,046,797,263,534,044,038,553,862,228,999,619,762,349,833,153,
163,705,862,730,110,880,559,651,916,708,146,993,187,046,049,437,054,077,211,
516,922,167,546,564,140,359,272,773,823,749,054,091,662,388,096,457,968,708,
836,645,573,554,637,633,249,486,175,012,216,357,073,758,764,331,303,420,269,
645,518,188,049,264,631,836,320,065,353,217,177,074,914,619,430,312,186,984,
731,701,498,252,250,759,777,619,652,490,679,485,578,465,435,138,184,582,184,
813,273,999,946,395,513,781,027,363,749,722,148,797,758,680,539,800,144,882,
427,210,758,533,695,488,229,510,844,030,969,097,806,610,327,693,811,447,640,
782,933,116,423,484,737,408,713,436,913,773,187,274,578,704,577,645,039,220,
537,784,212,979,791,279,041,198,875,806,649,225,611,660,554,133,336,059,994,
269,413,731,368,557,499,471,338,673,071,286,150,377,634,174,945,660,332,582,
915,217,772,727,509,338,716,773,939,342,915,928,461,360,091,540,734,375,540,
242,041,961,499,997,736,791,175,986,284,575,487,562,091,012,476,326,856,023,
905,563,700,709,217,299,080,761,695,168,891,268,429,202,171,559,153,382,813,
045,693,190,973,743,994,631,868,950,753,825,629,960,891,497,585,201,823,048,
946,428,572,572,526,502,388,459,673,425,501,634,979,601,620,222,184,323,719,
893,387,555,213,767,516,238,272,859,011,246,492,188,059,623,008,530,047,706,
214,918,698,067,314,673,410,967,641,818,401,752,824,880,413,891,216,568,043,
407,138,957,746,516,102,298,127,643,195,890,560,450,993,248,785,717,106,124,
472,874,777,899,459,226,123,067,846,536,494,799,152,962,886,568,910,658,664,
737,277,204,364,221,306,495,614,866,638,610,459,487,096,121,711,727,816,720,
601,940,451,829,889,997,307,394,865,112,801,071,269,466,942,228,507,682,484,
919,106,330,464,628,343,572,209,690,727,033,935,546,373,450,196,774,840,460,
286,861,954,324,653,247,896,516,290,861,209,359,248,373,074,459,053,884,853,
476,807,537,436,206,438,884,720,426,763,455,897,255,759,462,764,637,756,355,
253,063,065,229,900,592,558,564,683,991,870,047,693,858,916,697,104,409,487,
404,430,319,984,268,207,081,810,063,673,164,968,861,477,790,675,378,596,720,
709,021,137,169,378,037,515,967,597,700,501,002,597,695,094,414,575,185,735,
078,854,406,117,447,202,472,787,852,212,182,242,927,072,604,300,734,158,568,
346,879,361,419,400,222,033,815,734,028,645,244,253,190,747,512,071,801,165,
658,725,071,430,469,020,997,184,836,651,072,489,851,159,874,098,355,778,868,
719,941,489,002,623,397,902,916,127,390,549,829,786,286,730,917,810,411,890,
212,499,821,065,549,067,405,851,895,683,818,844,905,121,688,649,063,056,414,
110,756,872,200,167,902,496,660,595,560,239,903,631,990,122,656,575,376,352,
529,166,349,419,383,988,623,898,846,953,547,860,533,349,338,248,343,363,325,
002,987,956,941,287,555,796,788,285,631,231,318,981,473,732,466,698,192,047,
691,428,949,125,491,694,774,255,863,200,747,334,064,503,738,859,927,706,054,
221,811,525,078,222,904,356,742,886,657,653,288,112,383,105,726,526,110,333,
233,831,126,021,199,955,073,521,922,861,308,588,125,814,606,594,874,314,424,
575,252,661,119,377,894,355,363,399,755,901,746,167,260,697,878,942,048,785,
540,609,486,994,288,142,267,202,316,559,609,817,048,148,623,046,306,150,053,
687,076,795,449,896,005,999,770,786,754,788,564,179,003,058,886,728,030,587,
566,453,900,226,228,578,031,157,569,758,649,715,442,552,230,386,035,699,778,
056,821,462,503,641,417,093,756,787,492,954,458,354,582,841,105,017,418,232,
277,363,078,499,742,913,137,743,194,370,669,053,097,937,374,033,545,858,884,
728,463,902,824,497,542,620,459,443,914,482,085,665,795,327,198,879,668,908,
524,325,906,727,258,873,174,232,874,192,542,338,456,968,130,660,553,721,068,
391,708,042,555,135,571,784,723,748,184,326,407,686,361,105,190,814,326,421,
107,273,615,085,848,957,372,999,100,476,003,900,688,128,367,580,547,159,148,
221,279,308,274,467,770,624,135,120,410,242,785,411,905,822,683,511,756,860,
341,018,715,806,284,321,087,212,125,306,994,900,273,367,128,387,540,327,323,
064,012,676,216,149,452,370,801,097,292,519,517,965,494,813,166,653,592,529,
704,531,997,558,799,427,522,445,327,734,777,793,223,136,208,803,214,447,308,
533,036,763,505,227,170,689,959,135,881,523,249,036,694,227,419,226,097,470,
188,990,307,661,129,457,870,787,515,015,900,289,183,012,391,872,064,322,556,
146,542,238,979,117,027,923,235,508,332,655,235,870,675,984,363,850,240,807,
437,646,950,346,634,512,721,167,247,832,268,122,341,724,840,900,508,072,819,
060,337,497,444,780,696,339,056,964,337,311,943,324,734,789,455,408,078,750,
360,507,753,155,494,597,635,186,336,573,474,936,432,456,801,366,061,662,668,
771,089,629,999,088,945,894,282,590,892,924,129,316,701,329,929,252,637,256,
528,097,228,811,150,988,908,680,279,294,874,150,906,836,764,589,009,086,824,
313,997,774,545,379,658,433,650,335,565,878,974,380,083,475,777,413,784,486,
699,727,832,236,800,077,553,020,904,734,356,488,085,095,340,396,047,718,008,
124,775,930,826,974,876,614,068,454,621,540,280,454,111,347,923,851,084,560,
537,793,052,198,899,494,840,864,111,260,859,583,922,106,844,017,566,665,162,
366,381,141,830,495,918,561,736,819,115,310,443,940,406,049,176,568,100,021,
053,193,884,089,647,143,405,737,773,354,551,309,510,592,240,767,930,629,821,
281,600,363,105,660,652,195,732,729,438,148,034,723,712,171,903,304,868,340,
422,029,855,606,850,266,431,690,675,844,126,565,570,396,666,725,218,242,172,
913,779,356,884,628,136,962,267,882,848,353,617,375,131,998,456,138,360,697,
976,214,680,538,446,922,752,165,235,569,271,225,627,613,035,719,873,228,458,
282,046,697,082,247,229,048,600,454,999,444,756,166,310,013,854,013,229,868,
596,293,137,214,944,938,649,437,960,011,369,234,966,577,522,183,427,007,497,
191,474,659,293,385,587,754,597,531,477,456,161,784,762,605,801,552,786,367,
410,991,625,340,158,102,928,732,010,229,911,780,829,665,227,301,682,780,971,
894,071,033,072,490,127,821,695,257,359,226,917,912,855,392,598,516,199,026,
461,749,697,859,113,631,157,739,199,262,849,748,169,264,758,644,885,654,012,
528,740,021,788,772,094,779,766,314,168,075,371,544,652,610,223,567,296,183,
590,505,941,451,729,369,041,614,958,367,840,334,867,532,981,423,000,330,207,
638,002,245,302,985,864,055,758,483,596,163,846,731,738,596,433,995,906,887,
715,161,348,937,670,949,797,112,102,714,954,632,176,686,565,307,674,619,184,
810,866,895,807,014,604,394,853,193,744,134,776,642,400,728,138,677,873,004,
184,694,295,480,730,739,848,098,685,804,115,137,493,443,455,376,718,184,893,
152,615,111,915,098,396,354,104,546,681,302,445,700,869,885,759,288,214,393,
535,622,985,553,166,569,348,073,342,241,749,742,994,584,611,919,355,844,538,
881,965,541,321,041,766,836,675,988,904,471,573,361,632,183,939,416,789,308,
733,245,366,991,976,080,107,231,872,375,785,815,898,587,549,222,030,532,378,
820,126,106,711,203,811,331,006,272,413,229,416,507,328,506,182,479,613,744,
004,624,681,272,885,908,306,687,805,790,697,635,494,722,878,591,186,722,377,
709,088,612,827,477,255,016,017,033,320,697,316,894,926,067,477,410,850,744,
261,581,677,516,668,821,541,100,915,790,582,084,352,484,313,359,018,474,776,
431,232,830,888,430,238,046,338,249,127,029,344,667,339,740,928,998,990,385,
672,165,808,653,060,825,933,450,415,920,595,096,034,300,989,130,172,546,218,
736,266,420,728,870,572,596,218,127,489,830,998,031,891,795,805,463,842,210,
000,901,630,514,555,925,114,979,238,065,028,466,304,274,319,499,538,884,356,
950,522,514,698,851,671,426,842,122,778,711,005,059,404,940,118,818,632,043,
990,273,249,393,767,998,034,931,648,456,917,267,605,755,405,670,553,125,809,
164,168,419,332,593,189,914,954,883,874,749,218,626,571,933,501,043,279,017,
792,534,532,518,344,242,707,868,848,074,609,738,310,840,458,919,461,077,940,
978,290,010,809,014,249,025,839,859,677,765,639,860,678,838,552,599,780,545,
306,287,396,653,054,191,955,517,784,366,368,939,096,116,134,469,429,525,761,
398,557,940,838,000,031,923,415,844,810,849,160,010,179,863,324,721,007,092,
206,750,910,268,498,693,742,058,107,983,924,028,254,866,316,557,594,987,764,
974,943,404,523,972,396,801,134,190,930,469,395,100,624,281,211,583,423,438,
567,978,211,243,697,159,622,131,781,912,470,664,580,234,054,700,609,606,507,
535,201,042,708,893,119,334,934,972,501,376,491,110,002,856,445,414,338,728,
267,172,963,607,222,763,463,070,622,859,070,188,986,481,018,244,139,492,506,
358,272,003,368,471,073,464,018,133,220,709,479,446,313,477,652,936,874,617,
741,053,845,687,483,651,941,806,844,447,602,645,677,932,343,170,687,057,382,
140,850,931,729,262,672,377,656,283,492,144,673,415,381,671,567,322,897,324,
247,471,612,057,402,074,497,184,346,820,597,619,855,047,755,633,625,012,360,
749,482,977,736,027,294,098,032,922,163,928,836,819,998,453,954,365,446,375,
179,695,979,282,188,157,726,257,888,939,115,989,994,487,951,523,699,172,115,
788,884,213,813,347,927,916,667,657,199,926,943,013,512,929,345,747,898,470,
851,853,365,454,829,661,683,938,841,315,783,238,024,378,876,733,369,615,982,
803,592,595,466,742,870,759,811,508,727,548,913,833,687,048,607,233,475,951,
204,185,173,959,981,912,227,379,647,709,290,494,411,169,793,847,655,227,668,
445,348,021,639,061,661,244,438,521,715,413,825,030,583,558,387,572,840,182,
518,625,276,249,788,953,943,152,778,681,401,757,202,296,230,707,728,535,678,
560,744,955,868,340,678,164,446,051,126,737,130,941,118,111,070,016,351,939,
931,670,562,661,132,377,815,602,520,296,809,611,139,130,154,661,166,178,933,
791,239,202,093,739,508,698,429,943,671,874,668,009,749,593,940,948,584,090,
117,639,084,935,164,416,109,959,509,411,783,409,429,530,383,355,914,262,202,
355,351,950,251,131,735,556,378,045,973,265,504,585,192,953,664,979,143,728,
134,634,393,532,720,442,153,126,959,504,841,235,745,880,706,244,990,863,277,
508,880,464,322,913,808,372,691,579,394,636,067,184,840,447,844,972,895,970,
233,964,061,770,599,618,865,710,043,648,220,657,976,550,761,744,205,479,788,
160,225,191,801,710,013,051,743,113,808,977,843,723,932,802,474,205,129,856,
113,175,252,667,970,256,783,493,028,781,454,820,453,492,759,543,526,630,800,
406,796,270,120,342,490,086,916,303,853,353,178,463,667,594,266,628,522,498,
617,478,397,850,288,148,533,064,535,226,639,291,465,684,408,867,601,658,640,
324,698,457,918,574,327,295,743,523,941,854,205,158,216,088,424,397,200,707,
901,449,656,155,695,819,617,426,810,590,477,799,804,184,916,631,981,133,023,
940,332,837,956,713,675,153,673,653,832,278,647,963,633,122,896,409,320,182,
525,780,074,322,679,203,523,984,263,186,607,485,225,736,427,241,630,818,697,
556,935,592,033,726,069,882,785,925,974,995,786,477,698,351,905,954,195,372,
518,679,308,798,328,075,189,603,409,798,523,720,478,511,231,995,140,830,337,
962,805,650,117,734,654,943,565,650,984,462,492,399,605,482,371,139,266,150,
025,860,806,425,621,452,261,016,921,645,086,618,183,916,693,220,360,151,498,
363,851,599,304,363,915,862,451,657,402,555,126,718,037,211,457,484,947,771,
474,056,776,915,130,536,149,185,278,345,980,426,103,171,460,454,583,604,382,
822,981,969,517,952,938,083,501,577,326,843,000,510,142,598,137,398,006,145,
942,164,647,413,053,597,257,182,049,878,898,415,428,227,380,883,688,771,131,
354,731,632,849,582,089,811,450,088,267,234,298,411,267,365,870,809,338,352,
884,396,146,312,241,327,305,351,098,508,683,952,054,332,402,603,603,621,753,
139,964,865,498,666,588,323,623,819,823,215,733,929,987,402,984,786,277,329,
799,433,246,630,914,040,311,208,028,310,957,247,414,912,972,877,888,593,975,
198,082,927,301,361,528,327,402,722,266,144,945,615,214,558,537,809,479,234,
236,417,244,349,743,789,811,868,410,295,382,454,915,479,886,169,903,144,086,
974,560,278,329,759,825,586,438,708,308,452,925,472,555,455,621,598,861,444,
194,274,688,296,957,219,452,453,391,585,733,910,589,876,608,239,648,760,667,
965,068,981,655,459,558,447,415,459,288,188,397,062,450,938,409,450,496,929,
241,450,049,012,192,491,402,662,610,234,753,594,461,473,705,158,940,288,098,
024,147,161,213,032,166,441,556,801,848,191,780,334,510,546,933,915,255,885,
003,563,266,996,298,091,510,206,677,723,536,001,663,902,885,996,028,613,165,
612,485,722,186,052,630,808,739,352,862,181,204,005,198,635,548,832,983,980,
095,530,570,260,697,649,151,302,194,096,326,064,151,393,879,498,109,348,494,
822,824,865,957,029,563,900,669,593,601,304,179,355,775,944,776,362,323,315,
943,886,558,099,114,487,654,008,525,078,562,828,510,356,881,960,595,538,899,
394,582,359,782,683,091,288,995,372,348,470,065,773,321,601,219,665,139,219,
648,206,964,744,372,988,141,818,908,108,289,789,827,172,367,300,325,586,441,
555,969,334,361,103,031,675,625,096,480,581,721,323,750,813,771,425,683,165,
444,048,559,259,180,659,134,493,214,023,993,614,610,586,657,418,068,222,420,
355,211,294,975,343,073,843,958,008,601,989,353,334,866,917,627,824,888,897,
287,373,805,991,067,903,683,735,306,061,539,695,184,808,319,001,329,799,278,
806,157,888,168,924,892,648,114,140,433,827,121,179,045,772,962,368,647,091,
046,791,307,985,975,163,125,423,511,209,845,370,880,199,277,910,837,268,219,
512,035,948,014,162,780,827,913,109,665,983,141,488,616,738,709,884,637,060,
884,622,355,401,938,853,616,429,653,674,503,148,986,163,780,779,855,354,345,
515,358,549,365,758,039,653,676,950,210,323,680,524,696,836,561,664,742,107,
589,331,862,074,808,281,979,915,065,250,977,882,996,711,060,113,288,202,055,
486,368,551,751,502,239,835,173,191,871,992,276,618,562,340,454,013,859,131,
484,026,927,426,913,375,221,767,409,787,434,584,202,008,385,507,295,751,884,
366,800,159,857,429,473,196,500,243,929,107,615,529,148,938,142,495,762,941,
017,261,350,754,000,152,889,123,832,929,741,854,218,606,671,343,816,074,805,
861,475,880,667,576,527,609,065,903,434,435,016,407,729,923,709,887,659,317,
598,069,558,454,993,044,804,291,789,807,635,738,465,009,878,375,499,369,369,
131,298,196,572,542,594,783,647,713,396,013,673,608,626,762,058,454,523,165,
305,847,162,826,898,603,399,039,020,175,148,763,372,014,195,578,528,018,108,
599,362,486,381,598,954,860,195,860,213,938,114,440,873,090,831,333,325,603,
918,144,061,270,346,610,714,166,546,873,162,759,664,562,611,129,609,370,662,
851,863,237,802,723,032,331,895,247,148,198,872,817,458,335,147,536,511,552,
592,613,028,249,367,620,869,711,644,406,733,087,726,851,244,846,882,054,364,
826,585,176,584,504,117,265,302,102,659,884,488,029,648,599,090,253,670,469,
237,239,419,639,883,355,286,150,118,781,026,953,736,949,603,216,895,611,162,
882,633,911,747,394,047,300,655,810,395,807,540,632,260,120,632,673,048,060,
533,154,217,217,431,478,771,109,866,896,336,560,886,092,106,338,212,550,051,
909,497,983,888,937,697,041,303,601,946,513,243,431,419,714,370,571,706,540,
964,860,051,621,802,351,144,110,208,117,672,616,859,546,901,863,648,141,957,
524,264,982,909,647,288,254,084,130,713,717,207,879,121,601,837,867,490,398,
403,975,781,614,759,082,649,003,992,935,665,079,112,002,445,639,132,113,158,
059,525,668,094,419,088,012,045,055,704,663,949,691,487,106,477,161,751,886,
503,595,982,076,830,684,479,754,247,609,612,973,708,366,150,826,938,464,089,
601,984,804,663,259,377,136,114,945,386,744,499,575,866,805,900,958,609,137,
579,365,398,056,042,366,960,439,798,757,602,834,555,957,346,466,001,524,251,
890,836,094,709,912,170,007,213,599,872,027,980,377,082,486,523,193,379,220,
464,888,358,147,531,266,638,144,277,776,357,941,908,634,540,191,789,990,433,
199,603,173,648,635,397,475,489,874,925,404,675,020,416,542,442,253,727,504,
762,852,612,083,375,216,661,017,151,528,760,034,058,438,208,542,155,603,974,
251,937,255,625,280,006,764,138,965,018,896,624,785,571,579,195,276,331,880,
258,215,767,692,195,417,279,425,555,627,698,035,199,859,660,045,933,743,422,
465,739,973,431,593,007,242,146,613,018,780,928,259,490,779,656,937,354,148,
453,283,954,185,865,647,188,641,283,083,922,718,081,670,640,455,098,587,379,
648,077,381,221,038,896,094,752,291,617,013,775,553,709,775,912,409,056,418,
448,007,380,786,641,384,550,903,419,681,456,881,655,146,060,803,290,184,393,
130,415,739,812,074,405,423,619,018,090,933,216,729,223,085,996,893,933,287,
321,105,045,647,840,434,049,705,652,742,941,796,991,795,932,859,414,761,821,
476,140,286,740,239,528,430,075,993,593,911,492,343,769,458,294,554,987,552,
492,112,464,101,933,011,526,106,232,142,269,817,534,331,684,033,186,791,636,
056,448,342,249,146,382,856,321,908,740,345,483,403,515,094,564,905,200,185,
113,326,925,164,053,179,915,477,132,436,706,011,579,222,371,552,425,431,557,
519,913,660,718,515,541,674,393,631,486,284,958,282,317,078,687,855,494,442,
013,653,253,771,090,460,169,093,101,535,299,761,066,895,930,092,573,344,385,
553,751,513,645,668,826,678,866,725,745,615,603,112,125,015,905,880,541,795,
089,326,331,654,385,628,558,486,324,828,792,122,712,797,038,021,790,293,058,
501,328,126,078,981,394,837,918,790,663,554,966,661,067,476,095,882,718,693,
501,675,735,903,977,227,744,200,046,059,727,538,490,093,884,958,096,800,942,
142,751,246,752,322,255,940,498,474,007,356,798,855,467,058,803,358,326,279,
227,003,365,947,203,975,928,030,221,103,033,879,796,911,459,825,919,020,254,
013,381,000,145,785,974,444,029,220,080,232,457,164,180,603,923,644,209,572,
376,730,682,353,140,345,120,723,056,983,396,566,803,984,421,686,603,944,650,
162,785,088,684,040,675,808,512,384,434,329,839,026,104,382,817,337,995,215,
906,701,450,409,020,475,884,614,058,587,644,802,663,827,750,296,801,829,269,
310,628,316,731,474,196,505,272,756,123,915,020,113,071,979,705,093,772,220,
069,808,398,913,194,157,714,317,062,476,399,571,637,654,033,641,593,011,320,
237,108,732,065,501,277,850,289,700,520,104,188,095,259,677,793,153,516,853,
991,829,892,464,023,121,510,732,088,025,660,107,716,993,231,317,584,782,681,
730,775,230,823,873,048,416,436,687,335,387,345,273,392,521,419,750,824,760,
438,641,259,148,275,439,653,787,684,804,406,351,750,756,345,614,349,409,999,
982,517,760,584,076,013,925,914,605,690,537,912,994,848,035,920,802,377,140,
782,802,189,642,117,821,510,992,415,625,111,168,277,736,166,454,352,767,419,
817,057,749,069,157,380,174,490,957,575,779,199,340,062,251,536,189,444,633,
432,749,747,417,592,914,318,804,428,201,879,991,504,752,628,961,880,314,808,
793,926,261,493,600,512,601,618,367,926,354,558,222,296,126,523,379,141,755,
290,592,962,083,111,651,727,860,724,262,475,719,813,961,109,130,498,580,137,
262,883,085,331,179,621,656,318,597,641,318,116,368,776,744,407,616,130,211,
906,191,882,389,686,164,384,735,656,800,234,393,667,902,941,086,199,691,445,
586,672,262,771,048,099,379,277,388,869,247,741,528,922,412,920,634,279,898,
779,457,263,394,133,149,760,333,042,306,061,822,443,023,796,481,893,488,404,
596,808,176,461,655,626,804,220,193,713,410,490,014,263,408,846,825,554,231,
969,790,762,037,478,199,936,097,258,433,046,462,780,608,139,224,916,934,741,
649,306,203,451,331,887,743,789,190,506,354,261,020,188,512,954,572,670,095,
215,691,600,729,783,545,187,791,253,924,466,978,106,004,443,163,461,477,029,
750,713,769,736,537,455,666,743,628,478,858,758,030,216,836,550,342,083,969,
165,552,194,716,952,143,261,724,769,580,985,563,492,186,957,786,264,484,741,
125,236,116,160,775,307,345,359,665,797,779,421,621,503,004,162,131,986,084,
107,655,652,908,346,961,313,842,482,395,687,638,603,509,127,032,898,637,996,
755,237,774,623,962,047,147,644,443,942,153,115,140,177,150,711,824,048,927,
998,941,746,862,343,334,554,791,550,933,491,660,582,710,457,952,230,722,990,
624,638,809,514,144,529,756,955,378,850,655,680,397,176,378,007,836,910,461,
091,386,838,895,175,771,748,064,949,741,554,369,720,071,883,702,176,974,041,
982,343,070,425,285,246,302,935,384,234,302,311,226,991,003,311,098,388,720,
534,926,903,143,357,010,282,803,735,465,218,676,711,531,708,758,825,151,800,
925,489,208,812,042,497,951,142,330,281,335,894,112,166,909,864,540,158,063,
121,443,993,594,469,759,885,308,754,655,653,482,971,598,866,380,918,026,139,
816,234,025,105,049,307,403,465,918,915,329,691,786,903,141,035,187,984,545,
437,908,132,798,481,313,954,405,349,901,850,855,438,921,764,417,264,572,106,
006,699,304,300,852,119,978,798,589,922,997,397,525,769,159,029,228,173,389,
287,948,396,241,357,983,389,001,773,967,411,405,790,545,067,804,253,906,899,
386,446,035,639,810,306,504,013,706,643,366,505,570,682,026,640,308,997,492,
597,558,649,674,261,099,353,009,539,245,035,732,828,143,714,234,390,808,018,
706,443,133,367,552,337,505,262,443,657,395,421,606,667,138,472,145,015,398,
900,539,911,804,265,502,587,685,833,799,668,597,629,287,843,008,231,759,407,
117,116,497,039,331,282,318,863,888,652,320,492,134,035,717,628,605,891,326,
302,372,210,510,171,916,625,936,343,893,370,949,627,762,743,914,487,173,364,
986,544,237,384,373,710,758,552,381,577,875,755,805,858,465,396,317,864,542,
813,785,925,229,090,256,029,732,074,331,275,506,374,082,139,789,072,895,076,
406,052,390,434,311,547,829,016,668,501,700,701,910,047,509,930,075,424,790,
480,392,519,317,134,101,363,970,690,642,813,576,263,693,738,242,895,481,931,
990,012,444,335,615,806,148,309,994,333,269,087,800,609,193,689,396,788,648,
521,336,438,886,036,814,202,465,738,949,337,803,831,542,501,834,358,262,536,
013,394,153,145,290,564,107,954,025,835,982,870,498,806,671,906,516,406,172,
060,220,345,435,020,319,453,157,347,435,748,259,614,555,222,117,271,035,087,
869,468,683,970,317,025,081,118,236,714,651,520,870,217,337,679,280,371,692,
140,617,398,263,601,509,011,540,351,831,867,996,602,713,102,710,265,298,992,
439,893,386,397,124,688,365,037,035,608,232,710,223,351,312,994,601,218,043,
003,800,796,528,940,799,528,965,826,923,357,263,750,391,684,552,412,309,302,
739,894,147,129,526,058,732,247,027,321,196,018,545,634,255,799,425,684,043,
891,497,071,037,917,072,520,894,383,339,596,252,157,119,439,261,401,473,515,
345,539,067,067,665,669,087,919,918,381,973,146,670,970,311,937,544,805,961,
738,546,625,113,247,349,525,910,573,433,493,641,572,293,954,230,924,524,969,
632,198,743,743,336,219,366,459,671,065,350,775,014,736,241,387,231,173,790,
484,885,069,605,498,556,999,671,685,279,841,629,046,177,330,170,900,726,404,
931,455,513,987,863,117,785,758,927,015,363,294,431,096,880,367,333,439,033,
923,117,334,886,392,716,709,869,409,109,991,672,098,761,372,408,078,219,338,
333,171,116,862,992,051,548,734,531,727,618,508,587,114,809,405,847,247,877,
086,927,047,140,820,203,898,809,907,315,991,442,668,750,839,787,600,655,792,
281,903,576,164,282,044,803,574,342,230,086,763,138,718,786,288,578,437,482,
334,835,888,868,659,384,946,206,197,581,835,165,846,617,122,756,262,264,508,
873,761,909,512,784,222,924,575,347,720,369,417,214,689,574,051,711,446,367,
208,233,849,304,078,224,989,988,713,151,977,177,650,048,153,911,449,551,884,
442,729,151,153,731,528,345,423,449,611,310,028,441,709,493,421,095,386,439,
188,433,793,667,457,840,564,264,533,457,694,326,205,238,532,893,695,787,901,
149,343,686,351,003,796,265,479,092,340,467,050,356,029,783,913,203,508,276,
937,765,378,073,588,475,229,327,608,864,036,199,646,828,822,158,978,276,349,
350,435,065,946,789,756,669,022,122,607,370,379,396,862,405,467,804,278,147,
659,920,174,226,500,266,254,341,255,007,875,705,889,538,013,485,021,308,375,
571,186,551,335,926,433,851,273,407,319,890,142,047,665,118,954,425,513,801,
430,152,167,292,144,403,842,999,234,908,509,932,622,483,782,676,028,827,046,
900,395,485,076,927,098,966,528,500,658,679,890,597,954,968,955,745,129,390,
216,336,772,457,407,673,225,809,519,844,800,949,237,760,311,887,798,894,401,
165,621,688,704,673,616,665,646,351,327,397,015,003,459,661,323,101,923,671,
110,043,218,955,475,195,147,574,652,099,238,091,253,086,212,963,680,603,667,
044,514,111,656,696,823,675,715,177,165,959,394,197,572,086,528,963,521,117,
444,629,980,155,343,560,214,181,476,388,135,371,032,710,973,064,288,304,849,
867,235,847,587,731,970,691,519,823,665,277,455,455,026,968,962,622,790,804,
830,334,669,382,529,130,419,591,856,731,041,540,235,483,082,115,353,123,420,
760,745,136,672,370,548,815,124,207,892,577,981,026,612,199,526,441,362,768,
160,793,812,243,194,872,730,189,832,095,937,657,410,550,420,731,320,035,720,
741,575,414,063,207,309,944,899,654,551,999,321,919,953,278,598,857,900,258,
858,584,583,159,776,377,754,956,554,305,334,705,922,940,911,436,365,946,326,
127,079,882,020,007,201,766,646,702,124,106,240,858,999,958,243,561,728,289,
051,107,571,165,965,777,542,896,419,963,096,513,675,671,676,500,297,004,208,
021,464,286,943,178,039,558,877,481,963,353,173,333,293,825,981,364,929,388,
955,837,513,277,980,216,548,394,540,898,051,853,211,510,028,977,533,465,214,
202,605,677,466,145,592,148,936,661,104,758,537,338,082,212,331,046,572,251,
835,663,445,265,748,346,494,989,073,069,524,033,719,733,941,074,131,864,059,
474,127,927,107,773,916,759,375,609,679,923,550,502,325,661,517,237,780,926,
219,407,509,587,253,938,593,264,445,911,415,099,018,182,952,879,416,339,072,
192,238,875,267,995,269,368,401,832,522,139,942,026,524,811,009,304,998,770,
376,829,634,346,923,120,241,442,152,215,344,436,542,622,347,933,371,307,599,
538,047,670,023,710,765,878,575,628,094,838,662,136,235,852,923,265,081,120,
066,281,919,382,755,885,779,986,118,674,329,229,087,766,670,346,190,393,543,
439,278,140,668,316,375,235,136,734,408,719,697,830,262,065,762,507,924,625,
311,763,606,660,688,125,611,293,868,205,013,651,804,894,967,855,415,026,669,
171,717,555,939,612,942,738,744,766,262,043,819,301,749,780,800,698,961,753,
146,956,696,522,247,180,905,363,215,110,117,097,222,131,075,118,229,468,188,
795,461,359,686,839,324,870,832,768,698,111,129,352,724,183,428,529,648,479,
209,507,364,691,426,250,914,259,738,434,038,021,547,256,154,176,264,723,719,
793,225,197,581,203,906,535,744,341,654,667,675,271,644,798,671,784,553,881,
191,768,829,174,437,509,272,136,904,804,177,893,735,354,039,006,280,702,031,
710,646,026,226,223,060,397,190,868,913,910,618,157,612,685,275,466,025,266,
491,573,682,996,441,391,140,767,547,813,260,756,844,052,481,082,973,963,919,
968,829,874,035,270,051,883,000,285,819,148,326,628,267,464,278,941,187,828,
708,908,704,465,448,530,637,586,239,124,191,355,773,736,449,535,620,486,855,
261,154,490,653,101,820,603,416,024,597,417,137,761,726,729,641,178,835,894,
573,217,367,720,375,126,893,070,668,753,207,280,628,406,829,261,682,376,429,
670,627,114,943,837,273,471,756,548,768,943,076,285,470,291,883,847,700,987,
540,330,930,526,175,757,930,824,454,518,882,527,030,993,136,658,015,624,933,
466,442,504,599,928,126,929,325,791,879,940,359,579,092,464,889,502,556,547,
337,604,390,119,038,369,525,961,468,490,064,787,589,218,773,002,633,358,424,
327,828,869,676,485,202,709,032,118,036,015,423,439,415,647,580,054,889,304,
683,060,041,184,128,619,351,517,697,017,632,486,279,273,294,834,410,863,618,
819,102,590,917,239,338,137,608,665,375,875,030,996,735,992,305,221,677,077,
496,353,881,015,371,383,720,557,842,636,841,451,645,330,283,229,161,233,684,
491,064,831,718,756,617,884,966,656,121,013,130,791,235,646,226,835,387,700,
521,769,756,981,360,398,600,984,825,506,500,558,743,987,194,721,772,973,706,
803,551,945,538,137,113,970,024,454,870,191,080,356,483,308,929,670,707,014,
535,636,110,068,530,127,392,736,997,078,012,033,019,075,644,637,050,418,581,
588,867,556,118,372,942,976,231,443,484,370,267,718,493,114,401,592,622,313,
397,083,225,474,420,907,788,392,598,506,487,905,452,991,374,070,479,654,536,
534,231,507,078,236,229,781,873,558,310,200,237,324,573,460,867,116,317,185,
281,480,998,247,187,011,297,088,434,097,499,309,092,016,723,260,857,080,194,
859,121,779,181,839,546,868,023,237,874,801,311,732,007,768,265,119,355,474,
858,171,854,604,984,976,542,424,681,629,879,434,783,612,810,808,938,860,267,
937,160,733,730,893,220,262,420,507,914,213,312,260,430,037,145,104,909,680,
417,092,916,883,333,257,376,220,471,697,095,136,823,218,371,575,733,693,448,
599,725,326,851,000,694,134,487,008,911,546,826,715,166,212,691,442,700,008,
435,789,001,368,615,299,116,667,308,940,223,473,743,123,977,744,036,046,846,
140,279,048,578,203,209,629,797,885,755,467,323,642,106,546,085,512,981,781,
293,246,745,463,644,442,413,910,734,552,891,950,018,506,141,000,202,192,316,
172,687,666,900,984,272,867,862,898,814,029,249,275,796,453,588,120,304,917,
834,410,922,420,656,201,722,398,333,911,052,546,602,481,823,798,630,552,852,
280,995,056,406,336,597,158,743,655,335,215,602,306,007,148,303,465,232,195,
117,564,237,666,737,349,328,236,890,048,764,455,813,663,555,151,713,487,920,
287,826,205,273,100,916,649,667,688,402,802,452,579,183,043,650,635,695,082,
089,290,750,017,204,865,130,875,105,509,910,712,059,160,105,382,392,815,826,
431,726,825,116,369,770,097,657,605,131,326,297,524,905,038,644,840,606,645,
040,654,005,306,005,985,452,408,872,871,436,142,488,100,663,014,133,915,087,
123,979,492,919,124,081,543,357,821,412,735,755,621,348,313,733,574,140,747,
308,742,177,548,012,303,406,740,747,459,792,973,649,039,683,752,229,490,196,
826,352,687,423,843,236,212,354,041,946,613,208,904,256,168,026,419,795,120,
199,264,985,091,416,908,380,641,969,412,748,065,819,479,682,848,027,477,290,
398,684,069,160,817,966,620,693,688,596,606,386,844,597,490,501,559,661,581,
819,360,817,181,560,874,440,290,700,734,952,310,224,163,758,124,964,989,356,
636,482,718,727,831,185,297,947,534,943,234,970,883,275,949,397,900,085,759,
273,535,951,908,171,693,937,282,108,122,317,653,321,936,047,696,882,927,276,
270,636,836,242,855,202,207,005,748,539,882,016,422,821,414,403,652,872,812,
681,294,091,730,235,906,100,049,645,725,756,528,091,695,182,863,982,215,194,
856,790,029,271,819,271,574,706,478,748,031,823,983,384,395,022,085,728,251,
640,361,872,557,003,159,169,407,128,046,838,217,565,924,885,958,091,032,199,
185,596,527,323,101,293,163,188,005,127,634,023,193,813,216,743,542,064,840,
421,940,342,980,961,390,927,456,008,778,907,388,757,850,551,077,281,984,486,
423,262,125,491,084,861,489,454,386,417,031,146,834,153,633,588,716,499,892,
108,471,548,611,483,031,775,736,952,969,003,947,925,639,037,096,960,467,610,
185,283,621,816,636,336,989,911,755,757,772,194,389,621,167,281,359,717,353,
323,639,220,255,760,040,268,152,638,293,116,249,515,996,348,306,575,098,976,
926,854,925,498,062,565,246,154,701,561,815,721,231,474,595,645,143,072,476,
039,795,808,404,528,088,676,588,442,704,060,395,275,872,853,959,065,649,602,
693,378,472,409,622,090,536,414,598,918,727,900,973,225,357,050,039,551,080,
910,066,438,944,391,202,117,350,110,920,968,445,720,595,578,201,785,661,361,
431,935,390,587,200,794,629,599,582,184,353,135,116,705,433,359,164,842,457,
426,809,261,343,673,140,818,953,597,170,688,834,813,488,210,462,458,886,668,
707,758,019,370,966,420,828,903,327,296,217,514,997,951,424,100,867,025,769,
559,528,065,720,633,630,979,767,256,334,462,644,621,563,404,598,856,643,135,
072,723,375,978,006,747,256,534,071,787,673,044,130,632,338,343,929,699,066,
337,895,734,277,525,014,011,409,627,802,322,288,006,538,654,588,825,568,487,
857,166,174,845,245,864,516,734,746,512,288,731,070,172,263,969,196,299,487,
067,454,422,570,776,620,285,469,838,240,235,996,863,824,535,250,624,786,462,
807,268,078,194,167,624,816,610,697,885,842,218,552,032,662,036,639,592,491,
458,052,545,334,819,990,626,844,780,293,377,488,940,862,578,391,293,619,811,
474,160,939,693,367,160,289,754,676,841,713,743,096,749,234,720,316,966,524,
831,041,469,116,743,130,637,059,151,648,481,333,462,076,411,769,533,901,136,
577,272,323,280,488,280,202,596,921,936,623,539,166,758,733,149,799,345,624,
597,449,034,135,999,129,819,031,384,371,754,180,691,301,945,015,187,284,671,
458,490,933,600,888,819,777,715,854,460,816,049,087,850,375,257,068,507,205,
476,056,559,920,132,881,488,815,516,947,656,083,659,453,866,917,598,766,790,
851,979,264,242,749,541,443,714,521,197,848,176,552,527,191,290,973,367,581,
586,186,702,577,791,681,167,966,463,786,377,569,002,577,802,047,552,428,124,
365,791,284,970,895,363,065,630,750,524,585,503,339,492,481,807,948,784,908,
442,248,507,963,660,455,471,902,128,445,530,501,776,132,594,289,418,619,174,
996,707,973,169,532,707,486,419,783,050,625,431,261,085,316,137,778,453,577,
023,314,969,707,858,665,880,080,752,083,981,890,971,701,340,284,211,795,427,
635,702,233,305,674,074,956,117,303,351,067,675,803,154,341,715,121,523,638,
774,534,990,448,094,482,286,885,927,007,924,232,987,500,454,273,274,206,343,
520,596,672,430,636,518,603,091,459,454,313,586,824,763,068,784,602,271,105,
815,157,080,936,227,183,524,278,328,810,661,712,516,966,551,703,029,398,132,
722,290,162,031,075,206,399,581,191,986,232,741,736,535,190,099,938,614,248,
301,372,582,759,305,042,448,511,767,866,116,536,778,164,575,520,624,685,840,
205,247,190,845,396,532,080,744,074,652,452,837,937,579,761,795,064,665,229,
724,471,241,633,179,900,898,761,937,639,996,462,738,106,053,483,470,683,867,
913,374,086,868,816,623,149,795,404,300,523,835,917,499,075,182,029,496,751,
431,733,886,345,080,002,846,671,197,112,288,085,812,324,195,767,515,350,588,
428,702,717,707,116,477,547,948,861,856,999,136,608,464,197,595,972,378,008,
479,961,919,715,908,869,786,602,603,964,054,750,930,998,850,360,541,488,736,
516,175,745,069,634,546,028,060,371,184,236,061,316,728,310,066,721,269,841,
440,114,479,450,501,512,216,986,004,883,998,660,627,773,000,859,419,115,704,
596,080,924,768,087,317,399,354,568,884,060,726,789,522,876,182,187,739,891,
374,007,008,767,148,792,118,384,238,786,098,143,609,848,319,315,256,374,286,
062,079,195,045,473,843,170,331,452,990,148,667,785,257,545,991,121,240,759,
537,325,682,175,631,130,878,040,319,333,303,038,746,792,004,263,812,041,176,
587,695,472,496,424,419,366,103,543,541,790,558,799,773,149,355,453,341,461,
309,582,937,957,357,012,850,684,139,810,740,266,980,493,400,308,134,771,780,
987,846,109,249,891,039,336,471,883,984,328,507,953,238,193,547,484,738,060,
891,383,707,384,880,767,768,726,207,565,208,393,631,551,841,063,325,633,767,
008,871,808,398,474,761,592,415,067,548,207,075,372,856,508,116,483,179,818,
014,077,979,307,767,284,266,613,343,239,995,380,946,930,917,669,969,324,280,
724,100,451,922,101,661,237,611,021,772,038,319,674,152,784,870,856,499,806,
804,313,184,664,685,357,200,676,076,804,682,798,875,389,750,767,704,204,349,
747,339,596,270,608,474,804,792,968,474,184,889,280,604,225,723,278,928,731,
670,126,660,119,269,710,725,612,372,490,643,814,028,462,259,919,513,854,127,
340,698,883,863,943,640,626,113,698,330,148,512,080,588,592,914,453,924,280,
998,293,190,630,627,777,500,329,414,381,273,003,239,435,703,603,743,549,070,
000,456,340,261,723,356,950,261,417,678,869,622,541,563,215,147,472,633,724,
937,284,099,888,267,981,815,602,028,464,726,832,229,215,414,413,667,355,280,
212,881,409,196,575,306,258,444,060,763,991,392,105,491,208,297,880,486,586,
441,728,903,312,988,840,724,914,671,395,709,619,401,681,313,256,715,530,855,
751,770,549,916,422,323,688,682,937,039,002,981,781,352,067,631,436,421,995,
625,068,818,285,572,498,233,603,680,785,894,909,766,716,682,380,363,107,426,
718,948,930,808,231,427,673,650,560,021,739,372,641,953,312,247,738,007,230,
410,198,288,734,239,559,637,577,681,839,006,930,884,008,087,610,790,994,670,
046,497,359,228,195,003,228,111,492,631,452,400,653,478,953,578,984,412,412,
937,475,636,840,736,173,945,906,138,528,615,590,652,595,060,814,169,682,621,
758,070,956,115,827,454,813,981,439,439,712,165,834,236,721,574,897,901,498,
742,736,064,223,674,556,636,797,101,276,519,158,924,688,891,413,113,729,885,
389,702,930,332,452,432,028,309,765,184,902,882,783,418,104,186,980,501,130,
855,361,743,629,843,925,514,089,221,369,583,526,240,719,498,422,492,733,050,
878,669,180,789,673,199,957,935,244,444,940,639,619,272,695,361,827,144,646,
541,844,903,377,042,141,262,418,433,270,357,563,725,463,102,233,574,532,028,
199,530,744,182,487,343,027,193,887,588,672,350,793,885,471,418,442,271,553,
784,831,697,554,831,558,384,297,223,671,903,791,972,555,116,145,695,116,136,
932,651,601,015,539,687,215,986,574,453,372,663,587,968,532,359,188,414,148,
825,433,809,269,502,415,092,552,638,101,228,131,891,282,320,116,690,049,457,
559,710,446,695,781,150,411,316,446,307,210,031,295,397,626,748,222,010,869,
674,429,194,538,220,881,992,588,486,148,210,995,100,598,107,737,646,227,242,
466,244,942,225,687,320,304,237,867,486,142,079,100,224,163,112,710,637,084,
866,745,610,361,136,168,577,029,297,664,227,690,331,970,754,671,685,711,242,
305,382,289,312,931,676,871,985,195,074,033,124,383,389,110,041,095,517,544,
630,128,187,063,504,668,383,106,062,839,121,284,682,513,948,820,925,238,476,
133,745,434,058,560,817,398,195,029,384,168,193,455,683,166,461,113,262,179,
586,179,491,043,394,910,501,461,727,738,377,364,094,264,937,409,560,431,145,
971,691,993,150,604,048,847,818,246,035,771,814,920,542,399,502,750,302,840,
716,011,899,691,816,919,080,082,852,068,201,734,210,708,471,946,302,926,302,
385,590,005,731,078,193,543,022,194,191,029,779,323,740,487,700,050,867,156,
889,265,792,021,527,278,366,255,210,404,259,091,720,337,120,552,072,523,541,
347,217,847,385,367,459,977,573,949,775,506,462,297,707,500,292,525,564,904,
030,661,736,382,956,756,954,965,649,945,634,244,613,773,665,996,788,393,026,
760,749,976,362,415,166,660,286,857,041,638,129,473,783,145,040,641,311,958,
938,692,844,469,109,197,255,211,242,735,229,778,912,222,134,042,123,345,807,
125,820,031,801,251,073,059,215,766,597,005,724,874,033,478,169,119,035,904,
726,291,721,967,016,699,574,405,275,163,703,157,679,621,506,977,470,070,150,
702,417,473,507,836,485,157,049,052,344,860,337,705,854,963,850,956,043,118,
674,243,368,137,825,632,612,600,296,678,044,227,685,252,916,736,798,430,112,
278,336,016,812,153,074,068,607,399,722,943,941,181,647,625,728,155,567,690,
719,545,151,853,553,488,077,034,823,042,700,913,594,711,191,804,587,658,245,
229,689,756,564,653,638,960,919,833,380,463,594,692,110,684,636,541,578,672,
080,270,318,623,333,114,026,076,457,637,439,880,314,173,368,422,040,955,888,
141,618,447,480,563,659,594,266,815,544,693,716,989,572,316,857,315,258,218,
158,351,079,464,586,974,490,569,495,327,928,362,793,576,844,043,586,710,429,
418,914,982,832,250,865,565,997,666,739,717,703,397,996,936,855,199,589,237,
393,410,691,904,496,734,340,805,404,435,199,739,393,421,443,572,445,240,369,
073,179,310,337,583,646,743,652,303,342,163,045,087,837,351,419,987,119,138,
448,708,108,055,884,176,591,745,349,986,054,571,496,960,577,891,893,212,948,
329,139,772,323,584,681,910,945,393,182,945,962,863,216,813,075,791,758,792,
770,679,440,945,359,261,100,904,981,003,865,365,080,744,416,504,615,961,745,
865,824,939,063,638,893,640,131,393,109,279,038,024,470,108,848,824,210,422,
802,858,394,411,665,840,332,123,831,359,203,314,637,407,935,563,258,451,814,
398,651,886,966,205,677,662,504,290,723,829,951,322,735,830,614,053,012,734,
153,529,431,601,957,549,727,769,718,816,030,956,302,645,605,097,562,118,414,
091,756,971,665,042,795,023,096,262,664,502,831,991,756,816,269,869,740,892,
646,735,315,621,808,005,168,744,144,309,132,080,824,250,900,057,139,969,960,
823,444,340,048,072,277,243,149,948,380,966,344,815,796,335,602,484,249,840,
571,368,191,602,162,587,277,527,974,969,743,698,126,461,272,095,720,857,264,
338,979,838,030,215,818,043,658,196,915,171,846,090,255,605,018,632,680,489,
024,514,304,261,857,183,650,832,247,767,033,376,869,530,054,263,704,237,530,
154,718,338,348,982,853,139,586,939,373,041,807,473,452,231,892,306,811,200,
682,623,632,590,930,290,698,574,874,371,059,305,566,910,217,145,324,501,143,
610,214,546,337,076,964,132,512,587,337,705,491,090,714,694,313,657,054,749,
355,376,316,143,735,773,579,832,748,677,606,587,436,726,853,948,687,318,137,
471,668,587,327,888,937,577,369,483,517,636,527,348,602,366,531,490,748,858,
503,663,136,956,281,220,260,085,040,781,181,300,195,062,926,130,766,851,238,
499,860,999,263,106,203,119,728,995,046,761,388,918,016,047,292,287,129,953,
201,444,124,279,291,018,721,592,870,035,787,597,615,702,492,055,292,380,430,
675,739,271,326,192,948,569,505,328,192,723,714,384,667,744,186,730,763,302,
200,327,680,821,465,398,357,557,919,255,513,439,342,085,932,543,065,338,948,
326,682,723,920,468,367,957,879,016,610,985,045,610,947,172,240,757,668,729,
829,116,050,624,217,841,869,030,494,246,175,964,714,867,439,961,745,395,927,
344,152,110,123,704,215,180,574,346,664,643,384,204,957,590,212,564,670,936,
687,624,775,003,830,135,263,039,652,476,680,685,564,777,867,486,641,221,452,
168,738,368,528,582,438,042,998,930,950,895,812,549,279,983,873,353,019,850,
848,279,604,924,515,134,494,328,200,746,365,582,895,529,266,820,762,907,133,
211,684,841,093,602,070,455,617,164,049,646,644,928,134,895,895,505,503,382,
474,007,178,634,449,674,766,513,354,653,693,478,032,590,161,679,323,379,086,
180,491,509,848,420,424,003,629,232,985,937,382,109,707,378,834,529,891,696,
653,094,821,097,387,724,665,451,641,289,912,687,453,225,630,309,337,417,905,
465,835,854,713,305,181,361,619,854,284,159,730,716,685,650,203,418,209,279,
093,584,145,041,671,481,036,464,266,741,993,371,937,385,902,896,532,659,022,
433,937,576,628,124,633,277,244,231,884,046,326,525,632,319,951,316,349,662,
970,927,130,390,373,753,056,887,349,626,441,031,147,571,117,997,978,882,855,
584,167,949,394,370,751,466,893,595,941,773,019,303,980,741,487,152,801,749,
265,101,982,374,913,416,476,210,072,658,827,747,062,991,466,964,104,437,537,
395,425,619,582,315,850,980,964,268,408,430,425,291,273,538,209,751,625,773,
479,023,778,448,567,196,078,371,499,354,570,560,987,607,833,728,767,211,559,
619,993,480,777,570,333,575,382,506,974,733,788,861,725,373,904,456,728,665,
480,089,208,038,289,962,668,914,373,928,018,175,837,646,268,212,517,356,209,
013,392,552,387,067,936,496,786,656,415,361,597,027,347,506,150,782,340,227,
288,301,716,626,450,960,744,719,365,171,573,254,749,795,951,913,289,552,453,
283,209,189,178,092,717,183,596,276,881,638,557,779,651,905,478,545,234,801,
048,847,153,829,308,406,321,622,958,056,670,031,651,087,847,504,712,316,789,
229,156,402,545,233,886,015,834,727,264,461,745,770,814,387,208,121,794,372,
849,454,430,532,234,787,081,720,930,261,493,404,226,865,031,802,479,456,624,
844,950,613,388,468,641,022,304,140,138,613,410,805,282,427,982,332,633,150,
156,750,332,001,706,253,554,449,645,181,183,034,698,442,709,102,012,534,336,
547,920,562,653,386,676,331,554,507,272,055,364,924,763,027,099,161,097,411,
095,755,652,368,984,434,552,968,611,420,846,796,375,755,338,058,064,953,947,
162,528,802,021,160,979,888,698,518,516,695,475,365,430,274,751,019,785,422,
997,300,335,647,142,923,877,912,080,713,616,010,665,354,405,270,318,189,075,
358,183,060,802,694,526,277,249,815,749,791,141,321,359,962,601,982,029,315,
017,545,439,588,003,931,030,275,845,843,442,208,507,097,560,287,497,660,393,
371,873,120,408,781,577,035,557,144,871,012,984,323,960,696,780,356,858,594,
761,209,815,468,857,370,522,870,448,387,797,906,996,331,055,068,446,923,316,
337,900,053,402,310,116,158,862,838,154,936,297,752,549,032,090,047,264,279,
069,349,880,126,281,061,441,544,317,994,695,530,130,512,882,599,454,734,107,
418,360,298,140,515,320,390,232,898,384,578,489,260,367,334,497,816,408,018,
312,794,495,801,218,793,563,027,753,823,207,821,571,958,432,378,552,363,733,
701,086,194,632,342,417,875,493,265,623,874,582,241,229,056,903,444,547,479,
396,182,264,305,596,421,889,582,932,650,673,281,752,148,959,597,128,237,134,
155,995,188,729,435,864,302,215,188,583,144,327,695,354,380,846,781,032,175,
929,646,927,127,979,043,384,736,545,342,200,573,673,025,424,870,440,751,599,
211,448,849,389,995,880,249,046,611,113,844,260,690,115,088,388,689,144,461,
535,283,295,980,952,858,013,210,703,119,657,543,766,838,980,822,622,990,399,
508,405,553,790,818,330,001,522,323,008,534,286,530,371,536,108,757,474,032,
369,663,358,555,876,346,844,842,468,717,803,520,550,683,789,218,955,566,058,
421,873,287,115,148,034,544,949,952,472,603,500,289,998,063,486,112,646,917,
153,358,318,066,995,989,190,101,546,168,729,061,082,134,847,476,588,784,940,
183,904,017,824,515,322,705,267,134,733,085,651,338,138,235,755,778,933,563,
566,436,853,227,569,760,134,676,277,821,095,042,171,635,326,655,637,462,378,
649,078,554,827,837,580,530,971,067,274,222,262,353,648,512,449,190,472,513,
067,379,081,216,911,211,040,093,402,052,346,766,334,504,175,647,440,973,732,
229,109,058,639,044,124,680,717,215,021,413,316,524,836,419,359,748,885,461,
338,449,171,156,054,198,791,370,886,939,656,150,830,469,787,128,674,957,566,
222,686,038,039,112,748,162,067,872,369,527,567,697,505,331,100,306,739,343,
261,393,103,805,138,920,711,427,353,342,921,500,665,695,312,114,066,638,250,
737,782,503,661,821,098,251,936,824,240,313,428,404,525,620,495,216,720,001,
924,612,103,597,356,980,117,425,998,064,877,189,621,947,313,514,666,521,955,
359,707,554,033,026,660,661,668,157,713,216,238,176,090,934,988,933,403,141,
455,428,813,636,734,334,647,326,439,473,215,518,073,795,081,115,467,082,810,
002,012,772,361,846,528,360,184,807,301,030,512,834,897,345,996,373,582,898,
761,989,158,312,300,454,056,181,914,852,274,683,546,691,161,717,933,735,719,
434,213,714,625,789,041,715,780,041,946,878,356,591,522,501,751,982,533,181,
611,050,051,951,896,270,698,234,607,480,060,110,660,058,027,638,207,132,023,
927,185,185,523,895,261,702,400,207,652,572,584,461,579,359,330,882,744,785,
007,729,079,871,883,556,600,355,383,895,166,093,300,174,769,217,581,610,221,
603,965,066,801,771,980,752,194,389,087,403,245,011,627,746,845,814,148,972,
960,504,860,594,761,130,104,016,949,751,241,398,858,692,339,579,422,064,451,
208,164,954,232,527,023,227,954,970,300,084,813,297,969,729,645,256,791,139,
180,860,448,373,214,946,402,225,165,780,025,909,394,964,209,603,482,378,317,
201,310,328,204,999,028,919,598,244,105,979,877,492,579,372,401,718,628,542,
335,965,850,645,228,572,208,748,283,687,325,385,425,983,863,769,439,210,126,
344,836,836,352,472,559,311,735,576,196,853,310,237,469,935,922,622,418,841,
079,192,058,195,308,244,110,382,418,233,758,992,105,493,245,424,203,845,930,
035,222,490,270,841,992,914,416,552,759,249,916,786,138,463,900,895,544,712,
412,330,937,263,591,280,490,783,790,003,917,925,926,154,770,346,505,685,319,
277,163,593,839,419,123,273,010,317,283,653,782,416,711,358,984,650,421,529,
238,265,804,748,812,636,788,375,797,489,081,608,807,633,814,894,543,765,438,
264,272,855,894,543,690,235,526,328,452,763,986,992,824,408,417,265,258,981,
861,361,366,196,756,231,286,949,198,380,736,735,547,584,833,182,267,529,526,
239,116,260,877,825,638,600,010,325,504,190,475,380,497,346,594,797,835,074,
702,675,151,986,991,449,721,581,518,800,816,416,454,228,949,195,747,543,007,
882,833,364,101,701,015,756,661,100,649,871,613,508,622,133,638,232,456,715,
052,624,556,188,373,078,183,473,002,555,862,715,625,029,313,260,260,130,790,
826,686,741,656,721,934,701,369,536,113,904,996,680,131,764,027,165,022,344,
126,413,859,809,865,406,044,048,614,308,194,363,781,518,947,840,999,517,614,
983,183,311,766,029,517,958,991,011,696,729,949,380,209,775,185,346,614,471,
012,147,575,598,981,444,473,028,610,650,035,487,347,601,207,575,607,971,665,
920,735,878,820,568,797,754,709,828,244,497,623,198,963,290,449,969,471,262,
773,082,214,876,428,290,946,899,064,418,149,276,399,582,700,953,122,477,530,
838,662,650,308,374,035,421,986,703,785,038,760,786,009,644,182,111,328,684,
361,212,271,591,405,478,846,311,305,251,842,317,112,187,639,370,112,092,755,
159,741,614,410,770,543,506,186,545,126,291,549,683,552,924,006,794,297,286,
781,693,297,175,450,587,698,654,097,188,150,216,387,482,899,601,191,081,543,
217,984,478,605,122,025,035,452,489,176,360,966,420,648,882,141,320,806,765,
465,416,236,453,090,228,182,334,672,490,499,557,093,061,207,040,440,758,570,
439,636,109,977,440,453,753,766,427,737,370,882,366,951,066,802,419,731,916,
200,009,623,630,844,718,065,291,953,666,193,829,615,420,587,773,436,341,968,
810,040,248,040,451,988,469,900,667,761,049,285,641,268,234,631,884,481,607,
801,064,776,756,485,641,755,750,119,746,630,214,415,069,218,471,672,862,438,
544,591,172,119,906,817,928,621,815,002,104,822,135,159,244,556,177,321,284,
507,552,385,893,664,872,944,483,039,584,980,649,376,500,129,741,385,511,818,
097,726,161,769,482,445,036,126,690,263,626,928,631,417,976,828,563,036,002,
457,392,649,595,221,673,166,024,202,906,372,292,847,109,637,764,265,294,540,
316,257,883,350,538,595,665,328,720,858,446,406,156,665,622,449,903,377,326,
326,514,370,162,992,034,321,539,715,751,683,274,493,030,619,545,661,382,187,
584,122,720,454,476,055,102,950,835,315,720,471,101,649,441,950,346,801,225,
940,115,820,407,909,697,908,694,136,635,746,582,724,323,225,424,269,779,825,
170,334,657,359,492,782,465,653,258,882,246,088,043,109,052,508,571,027,158,
054,550,980,910,647,975,533,286,459,694,921,096,611,068,463,640,644,814,026,
342,663,537,654,423,047,270,065,203,962,787,728,104,180,327,256,515,074,442,
909,979,172,682,388,247,350,546,555,642,984,637,172,194,226,920,489,565,658,
067,176,697,310,532,981,910,368,960,376,595,455,874,916,392,214,364,238,103,
422,366,593,267,627,459,888,461,494,738,702,334,292,416,521,804,848,732,189,
940,395,411,986,259,824,464,934,027,050,704,535,225,141,271,615,231,461,406,
362,492,411,637,154,471,719,592,265,338,990,406,646,932,264,238,208,567,375,
646,604,214,606,717,062,739,624,628,325,496,411,890,184,067,519,701,906,301,
606,460,269,580,627,869,658,118,470,043,601,265,919,778,697,627,643,170,283,
194,023,132,673,093,935,792,774,397,670,472,179,245,239,405,242,358,414,272,
302,619,789,197,239,030,368,120,266,699,752,694,716,106,723,495,276,749,765,
027,120,167,870,944,460,442,623,491,634,661,109,144,846,859,545,398,815,485,
743,215,311,387,605,730,309,375,154,335,394,747,940,031,817,991,817,630,389,
949,875,463,983,452,080,186,186,343,491,223,526,297,352,729,942,076,834,038,
251,844,499,638,694,892,152,970,712,450,375,785,608,571,613,578,542,720,454,
058,900,471,411,514,692,434,948,669,440,461,215,860,403,966,189,579,842,570,
988,092,364,716,547,506,250,479,647,922,224,885,446,206,831,215,789,451,706,
752,828,763,714,480,327,512,250,985,895,016,706,823,542,796,508,748,962,768,
030,601,129,700,990,865,128,085,119,770,506,458,181,074,191,712,530,056,399,
077,172,781,050,900,295,748,909,067,617,861,276,963,033,158,618,498,898,822,
051,085,436,518,799,545,621,218,462,126,504,334,338,784,420,302,893,069,854,
428,064,738,191,020,177,421,377,542,864,180,332,220,855,066,170,350,522,824,
552,630,774,041,593,561,933,855,119,384,110,744,837,755,470,475,462,974,036,
320,431,788,479,044,524,963,068,478,169,647,820,855,434,741,798,842,788,885,
994,336,635,542,854,849,964,378,295,571,321,769,878,955,928,489,212,257,105,
096,815,971,160,591,485,547,115,809,843,517,992,607,124,125,236,098,919,506,
257,482,653,705,540,051,188,608,655,712,620,063,648,070,602,490,094,707,911,
248,962,022,655,966,603,532,114,183,645,041,385,369,376,710,880,369,779,102,
143,739,307,685,076,457,926,392,456,657,313,390,399,523,482,999,981,789,601,
586,484,929,623,917,313,083,240,338,402,438,349,513,667,129,748,039,497,362,
814,333,177,508,164,670,944,850,542,555,078,914,022,255,528,998,288,308,123,
114,045,810,577,545,934,972,148,502,821,914,694,577,168,814,528,291,185,259,
248,766,510,076,025,706,289,861,502,338,913,378,650,155,677,007,382,853,414,
334,055,216,288,031,746,632,345,513,456,431,948,119,043,268,006,154,126,545,
732,744,358,885,343,231,333,863,929,836,272,892,861,599,590,588,490,050,764,
199,814,400,839,200,042,770,057,123,508,775,362,240,592,214,513,159,093,177,
737,017,228,031,428,637,264,312,817,222,121,942,275,501,470,358,662,763,800,
775,475,208,426,348,757,155,317,712,785,151,472,165,438,301,158,300,045,692,
578,006,913,785,604,825,171,681,855,339,536,228,050,732,386,829,956,715,813,
979,121,338,760,542,922,586,460,467,849,314,374,127,826,925,479,270,525,214,
058,450,502,541,286,461,636,054,750,152,250,174,555,300,422,066,323,046,439,
352,181,829,710,110,994,746,453,715,226,597,258,695,062,486,902,729,548,938,
098,492,066,847,174,423,053,595,971,550,057,053,474,896,855,324,833,501,240,
793,283,715,603,849,138,638,940,726,053,136,483,422,671,716,915,253,868,631,
319,190,511,495,216,179,832,256,964,273,379,702,222,507,446,131,322,817,400,
094,748,533,881,488,128,709,882,663,102,066,161,626,716,786,822,659,245,032,
897,191,083,556,245,129,882,502,609,695,510,629,915,334,950,368,837,986,944,
167,821,721,582,215,018,423,907,067,920,363,896,419,583,897,549,876,939,819,
434,067,771,934,481,232,909,656,837,839,416,251,455,149,625,668,346,191,909,
513,121,688,193,356,899,336,981,510,676,387,689,694,592,792,656,583,096,791,
024,588,339,511,022,651,264,749,499,626,788,397,369,458,291,048,674,257,907,
786,114,496,999,405,409,294,732,536,198,542,376,544,376,535,262,272,765,820,
990,154,035,350,060,282,218,396,934,561,678,676,208,516,861,293,711,313,394,
146,973,583,710,097,640,726,916,836,627,153,740,568,600,061,009,331,008,199,
992,134,013,039,744,863,990,352,289,084,678,130,077,299,570,177,661,572,911,
937,506,542,864,079,652,802,571,435,971,403,518,424,929,729,925,013,481,280,
915,749,326,092,362,399,319,821,892,425,436,472,732,619,098,240,394,311,452,
496,916,506,619,302,008,386,628,167,726,026,227,598,629,191,951,004,162,037,
883,624,314,022,305,999,086,019,699,780,613,997,212,601,367,515,075,074,858,
522,891,653,242,857,756,950,142,820,166,198,181,657,950,166,849,828,340,847,
643,356,937,988,474,043,260,603,045,657,887,056,763,510,777,863,380,497,310,
417,068,993,946,253,771,566,296,182,410,572,332,939,742,504,762,782,856,869,
718,067,779,551,260,511,028,484,183,178,511,247,566,028,577,509,098,887,677,
028,824,718,593,206,224,263,349,774,789,704,067,141,388,311,249,094,527,081,
944,412,715,329,608,053,018,576,420,177,988,302,021,358,632,433,113,893,679,
110,571,969,647,623,865,151,688,698,325,761,894,233,092,443,968,774,727,492,
434,205,675,838,726,413,726,824,025,253,772,773,627,401,632,817,801,780,162,
453,286,957,443,520,521,389,248,370,271,013,508,267,456,710,305,603,452,653,
520,221,559,758,750,149,664,053,721,031,220,327,723,015,737,412,778,469,571,
037,746,326,100,483,171,792,770,111,891,995,384,627,739,391,844,086,822,762,
521,686,831,100,610,705,084,527,437,616,841,164,713,629,212,212,771,719,748,
671,434,763,586,540,499,986,432,700,276,770,148,482,964,762,442,480,905,104,
688,441,574,020,894,442,479,242,759,731,593,044,527,732,608,992,697,841,488,
786,030,316,959,563,209,513,343,334,724,055,126,635,900,653,319,190,167,096,
316,916,986,461,203,607,531,011,979,640,062,248,284,484,310,846,339,060,699,
623,029,018,359,880,717,336,393,945,690,829,004,670,926,141,598,831,375,874,
016,040,440,888,879,382,733,489,235,831,584,974,920,254,035,699,237,713,159,
981,766,278,256,794,893,497,875,384,848,557,218,455,666,395,075,085,998,144,
793,912,095,958,892,386,354,271,576,008,099,153,914,220,303,828,150,577,836,
711,716,386,266,478,619,018,054,066,294,682,643,761,921,820,541,020,601,396,
229,245,235,695,762,064,204,206,819,552,871,138,619,225,767,760,479,821,390,
154,214,830,565,211,093,659,608,546,280,066,315,980,911,861,581,888,419,984,
195,380,025,826,987,504,657,426,538,068,255,778,683,557,601,341,596,772,407,
834,061,520,457,932,920,463,318,357,670,959,656,918,975,899,925,919,129,645,
509,112,564,284,285,601,417,096,745,814,096,902,024,130,993,737,646,799,515,
036,661,013,626,411,434,900,755,777,167,944,980,135,285,387,424,393,977,061,
064,508,045,025,910,592,396,258,261,669,192,578,710,598,495,918,924,261,066,
373,962,507,186,864,893,625,511,971,510,339,814,630,994,848,556,018,146,880,
221,338,236,097,732,798,835,395,104,704,932,558,109,465,169,442,659,294,820,
881,981,868,526,856,606,250,312,886,786,737,768,315,381,200,355,075,512,706,
306,118,202,314,052,530,301,046,514,257,540,817,749,125,257,683,740,568,629,
091,048,764,333,679,816,941,879,986,838,274,946,952,723,831,765,619,374,232,
439,479,588,344,695,848,334,368,146,448,569,633,928,537,383,792,943,827,902,
032,883,415,682,332,477,361,854,448,304,168,266,782,489,143,791,622,038,293,
760,685,980,469,506,916,301,543,039,106,129,624,146,852,573,095,699,856,011,
342,139,564,611,348,698,221,828,317,605,191,792,681,109,361,391,498,880,098,
100,744,051,480,326,236,614,251,795,398,600,445,764,627,172,030,470,588,743,
921,790,976,935,791,621,439,039,577,107,296,897,793,476,091,870,830,667,919,
075,289,373,337,813,933,711,756,239,074,948,668,870,699,671,426,075,997,159,
836,626,812,508,467,346,056,118,239,384,482,860,998,759,185,409,492,365,815,
037,715,256,379,118,057,254,254,567,062,537,213,980,557,494,986,764,360,218,
957,138,830,678,849,990,331,759,385,062,850,265,274,543,608,959,290,928,915,
899,909,310,977,617,564,813,761,942,387,300,802,536,253,144,352,155,016,215,
113,500,712,136,677,315,785,040,996,048,758,831,072,694,912,464,712,281,301,
301,009,885,737,730,168,540,019,805,272,825,820,340,120,454,849,786,003,709,
818,694,686,964,611,716,255,534,611,238,152,689,325,315,764,027,985,027,413,
807,365,172,123,310,268,971,324,054,452,613,813,343,367,451,358,288,661,264,
443,915,401,005,956,963,062,910,470,423,903,697,814,354,010,626,735,093,949,
681,603,627,712,705,784,828,539,112,375,460,904,922,770,865,756,137,114,303,
603,974,864,554,225,479,684,700,367,033,992,357,731,825,742,034,182,232,666,
198,430,750,479,655,310,975,454,338,244,699,097,713,398,189,459,457,876,841,
444,015,522,131,384,910,190,057,705,936,366,068,125,619,626,012,500,131,455,
845,645,169,000,859,721,834,734,655,605,295,040,290,678,232,216,959,678,614,
468,178,011,328,007,539,378,362,100,763,942,824,161,894,755,068,113,079,310,
231,223,024,585,973,257,296,358,269,945,017,157,535,020,749,626,835,403,366,
698,985,165,156,731,508,441,449,632,273,289,189,710,115,014,962,033,231,526,
040,647,622,909,606,021,882,178,157,554,415,360,701,855,568,524,106,912,629,
064,759,631,663,805,733,723,717,136,729,638,174,527,378,076,471,531,222,113,
382,233,194,348,397,602,517,339,684,117,372,768,434,111,732,870,732,913,370,
315,084,868,374,855,778,195,042,224,915,109,363,435,667,361,794,194,357,634,
259,328,388,816,698,637,694,832,555,520,079,218,707,621,257,754,330,450,916,
905,367,785,216,809,642,319,168,934,620,112,755,532,928,534,206,951,056,467,
492,274,144,460,052,552,713,071,310,295,841,991,460,331,859,816,309,192,307,
614,889,628,887,983,849,538,113,188,569,205,503,898,048,101,957,195,783,159,
625,181,051,044,824,533,659,964,734,299,896,533,579,510,812,584,941,926,946,
223,462,860,207,585,178,312,077,607,786,894,014,193,410,686,500,628,271,075,
106,979,421,417,258,629,848,576,539,441,096,613,734,213,779,751,843,908,325,
847,096,455,327,446,566,828,879,515,557,898,329,648,174,712,411,547,854,735,
476,018,403,994,131,937,980,682,856,361,250,015,595,514,286,657,908,382,612,
825,746,070,600,650,297,159,078,393,663,954,021,939,652,306,282,695,952,413,
293,957,554,596,776,038,813,062,337,444,132,004,162,438,262,217,248,747,458,
718,633,075,792,289,413,788,270,699,022,842,339,187,481,060,044,769,631,741,
514,444,652,749,402,836,942,743,620,120,425,625,514,189,913,608,294,237,302,
591,779,481,661,654,700,154,530,153,164,661,569,656,483,416,303,719,684,886,
797,271,125,965,868,268,297,236,250,368,064,873,089,458,336,241,228,498,632,
159,985,310,402,898,978,221,448,019,576,299,589,734,178,609,225,607,731,609,
755,186,413,900,060,324,067,425,778,695,194,152,032,587,206,303,506,727,218,
635,744,424,591,352,759,958,372,633,508,119,823,130,298,916,440,436,224,034,
304,637,302,002,840,052,507,370,045,998,421,683,591,868,943,125,833,481,686,
643,135,590,900,524,307,548,137,173,362,882,536,391,681,930,552,758,592,191,
763,782,238,613,540,651,266,415,585,442,154,560,808,395,318,682,425,089,277,
364,367,934,122,261,308,487,648,133,569,444,022,086,061,561,276,992,297,415,
464,294,091,561,280,858,357,759,613,950,489,234,275,551,530,489,013,790,408,
362,701,843,175,785,001,099,310,234,037,736,058,120,389,731,175,112,650,174,
360,451,271,096,019,760,700,073,560,563,163,518,183,306,320,918,051,805,785,
648,809,304,202,013,444,074,378,975,676,313,830,965,632,373,585,757,409,221,
171,914,230,316,439,083,935,967,790,879,988,352,037,729,217,610,999,063,740,
762,189,979,368,823,695,981,363,929,976,772,437,976,658,906,214,654,765,730,
690,539,080,328,401,073,543,505,089,021,219,297,343,233,305,513,873,376,151,
097,097,853,113,836,952,213,528,039,394,510,391,602,015,723,206,958,682,190,
852,651,967,880,914,071,471,528,427,570,867,898,976,957,503,654,015,715,524,
380,084,572,204,984,947,333,975,233,622,846,411,056,024,272,705,709,218,934,
887,693,624,741,757,121,803,858,784,565,162,339,629,217,971,587,692,600,151,
067,800,538,368,242,402,033,021,834,202,886,597,261,274,658,989,674,296,345,
179,007,995,090,743,723,721,075,110,981,805,995,772,147,637,229,404,621,201,
495,121,624,369,851,990,026,062,167,638,271,076,908,656,160,279,284,372,796,
634,242,362,248,459,137,587,235,870,635,079,599,669,124,979,158,687,820,323,
860,536,415,282,366,467,593,524,200,354,547,568,407,704,466,742,874,954,950,
445,670,966,456,725,440,320,533,057,808,394,530,786,535,466,623,177,475,769,
169,526,991,806,841,776,235,508,148,649,863,041,314,953,959,369,817,775,422,
695,850,921,895,105,843,907,692,248,976,135,414,708,366,067,074,679,819,553,
316,250,192,476,860,962,983,842,675,989,401,574,633,690,340,925,594,468,965,
959,859,179,994,447,209,628,907,804,451,393,146,697,973,980,523,290,197,833,
570,368,372,236,004,930,194,072,990,120,961,959,344,074,203,714,722,215,197,
063,199,307,181,443,782,969,540,597,733,869,883,588,148,763,170,649,649,989,
824,599,881,097,704,611,097,048,231,336,694,417,230,404,078,794,230,202,468,
483,557,705,566,334,606,720,204,754,044,057,336,606,430,928,412,843,939,090,
441,080,580,183,355,160,898,609,783,274,438,619,755,417,545,415,996,787,306,
099,559,690,783,048,924,487,744,778,457,893,664,916,107,905,870,196,312,999,
560,629,520,298,557,080,842,460,000,613,224,741,913,052,631,862,745,658,452,
951,300,545,458,124,938,216,865,501,055,715,964,233,805,779,634,009,681,399,
735,831,071,905,063,574,561,400,694,067,951,956,186,242,664,730,722,141,928,
789,309,094,612,180,810,706,527,668,614,293,528,467,380,330,641,265,504,264,
617,302,866,842,598,312,923,268,283,434,984,923,343,615,252,201,592,018,164,
822,098,855,484,956,529,068,474,431,632,390,915,374,478,561,038,869,478,698,
779,872,675,227,646,510,569,754,974,619,158,877,525,753,712,115,513,680,257,
520,017,722,075,304,274,377,854,971,381,494,062,762,463,248,954,313,577,344,
132,331,661,631,975,479,432,752,873,644,710,435,364,265,129,200,845,888,039,
517,829,983,228,566,846,137,087,650,560,801,062,334,502,225,024,369,741,218,
355,323,775,026,949,904,588,161,298,654,244,334,074,744,900,350,830,303,505,
770,352,613,361,033,474,713,919,326,141,514,179,939,442,576,962,211,813,697,
737,636,297,759,217,569,558,771,230,238,005,115,441,991,225,446,804,436,833,
711,303,910,090,376,270,644,878,261,532,506,943,891,957,827,116,261,612,196,
326,031,677,898,778,503,877,567,853,587,134,185,967,524,144,696,343,047,722,
260,318,276,822,197,474,340,303,969,625,309,881,449,473,645,215,705,044,854,
669,148,486,217,557,219,920,584,702,158,430,126,694,031,834,642,642,417,795,
689,236,040,728,376,452,709,385,480,525,318,014,197,505,860,404,868,304,835,
953,554,696,912,786,587,501,078,488,998,121,016,533,085,121,243,465,346,571,
755,313,898,039,539,880,776,946,165,022,347,546,451,948,762,377,371,400,321,
611,661,732,472,361,767,336,767,923,642,753,412,122,936,055,671,302,359,363,
194,324,530,101,317,524,317,539,024,196,831,811,494,843,375,870,596,364,104,
381,890,001,871,957,615,951,061,563,290,895,174,823,199,232,911,093,826,544,
060,456,665,879,560,341,239,800,147,840,135,697,275,314,246,454,487,161,320,
677,571,008,964,468,437,616,262,395,229,524,817,906,386,612,125,195,741,822,
362,811,100,110,137,637,848,489,012,437,356,668,904,137,587,328,186,949,530,
805,713,698,891,636,375,013,340,965,324,731,332,692,758,866,409,801,448,622,
951,074,112,852,400,382,225,095,319,876,637,038,237,500,211,706,117,785,292,
538,964,522,172,938,963,758,291,254,021,049,799,420,833,390,567,757,019,259,
975,424,884,369,059,108,610,809,960,371,493,523,080,105,870,582,720,613,236,
991,382,960,053,318,386,274,154,621,097,337,548,686,666,506,666,593,857,974,
172,601,016,800,753,525,971,475,662,125,492,172,111,830,804,143,664,134,077,
767,833,624,902,504,944,561,285,465,229,580,129,617,736,743,376,760,917,650,
470,093,062,624,046,600,371,529,694,774,851,391,428,189,557,721,530,385,057,
222,263,236,556,010,805,719,984,447,972,451,211,174,615,698,350,647,924,982,
357,459,751,182,848,857,490,129,623,610,069,093,063,667,780,755,825,554,609,
562,995,308,331,084,261,237,127,223,911,676,074,728,450,466,950,260,584,779,
343,932,105,301,456,781,876,188,230,058,533,455,228,999,707,360,295,227,287,
345,461,543,169,822,802,823,544,419,864,544,916,399,180,202,658,914,387,558,
520,897,904,092,787,509,612,052,996,416,494,171,561,939,083,030,443,809,608,
526,565,748,804,899,919,729,744,276,888,272,830,794,794,765,772,908,873,366,
059,752,321,329,794,964,232,742,361,715,303,063,548,205,239,367,109,298,426,
089,924,673,173,981,057,078,240,272,476,675,849,884,400,535,173,490,571,320,
823,049,949,197,000,738,769,938,929,632,593,615,276,741,595,766,608,280,002,
048,602,217,713,034,003,361,012,617,178,742,715,070,364,256,565,193,386,244,
978,968,764,508,282,714,729,402,509,799,242,787,559,788,252,288,827,472,804,
737,440,276,340,564,474,817,065,721,919,568,807,505,125,021,042,922,328,763,
701,117,645,566,997,942,967,239,640,273,699,935,320,592,721,123,136,545,469,
754,413,458,577,151,097,549,954,463,314,531,919,031,868,254,454,271,945,571,
887,976,588,583,805,862,310,621,900,684,537,497,683,720,774,373,730,165,272,
832,599,030,882,954,000,444,728,375,767,280,048,370,947,387,790,716,939,508,
065,692,326,554,799,661,252,918,048,956,374,966,541,776,556,929,806,516,159,
137,172,627,658,467,772,373,410,609,910,287,101,475,753,243,559,448,325,865,
758,505,726,754,634,757,930,610,204,420,772,021,368,076,174,899,887,282,415,
700,591,583,512,146,532,565,421,247,513,183,709,820,205,288,288,405,761,667,
490,683,428,553,173,571,178,268,390,296,387,525,950,051,463,351,714,602,552,
756,177,511,488,142,285,732,352,721,914,333,416,875,075,314,381,739,870,372,
281,823,697,255,529,223,169,886,489,750,152,858,023,631,617,760,015,117,257,
419,954,238,430,889,495,856,973,336,163,662,130,931,432,209,613,165,847,519,
005,771,567,758,619,151,780,538,593,509,259,254,183,256,725,890,643,920,507,
008,793,961,700,788,154,902,902,371,329,427,329,948,519,233,323,231,395,568,
781,411,663,094,051,622,258,484,358,793,899,570,783,808,566,485,652,691,485,
696,320,237,819,113,677,363,096,302,633,965,652,073,645,346,095,926,388,939,
498,841,392,865,574,548,576,086,213,654,136,412,735,475,610,675,944,367,074,
490,463,748,505,639,341,533,800,263,091,805,163,993,598,339,965,926,092,601,
698,741,603,522,286,536,832,898,076,991,397,966,247,300,854,107,600,588,125,
994,755,508,372,236,821,900,369,651,724,651,094,498,798,742,539,978,711,955,
811,230,781,527,083,263,795,226,867,953,259,057,577,914,924,677,524,839,304,
976,742,328,604,096,999,067,107,456,621,369,312,593,132,492,708,558,109,899,
578,463,777,950,533,655,092,610,658,561,489,434,824,346,420,086,275,917,263,
973,108,435,022,263,075,390,465,264,393,577,399,726,227,227,824,560,272,953,
128,940,327,630,659,383,177,272,567,326,670,493,938,102,041,849,390,344,521,
774,669,453,917,274,165,968,211,274,705,227,780,119,384,050,958,440,036,518,
969,836,491,394,724,033,265,634,517,806,305,159,617,169,321,116,307,317,020,
124,316,721,757,688,230,040,719,300,471,380,400,859,707,237,721,077,477,131,
938,497,757,995,443,652,327,959,173,838,687,061,336,810,451,034,943,237,129,
641,059,666,958,007,889,356,016,120,782,603,746,807,700,797,967,235,590,757,
630,109,440,786,676,330,203,876,380,717,120,170,124,132,822,204,548,494,558,
266,577,067,795,052,515,734,195,003,750,218,778,799,402,027,670,525,981,120,
272,935,328,371,001,872,259,815,630,880,366,897,664,144,302,061,857,159,245,
688,603,380,040,716,627,805,560,922,019,684,677,815,337,827,214,878,090,806,
439,784,486,397,413,068,777,847,054,372,465,784,587,761,448,099,016,699,808,
339,120,763,547,197,078,732,509,263,149,732,323,877,686,898,179,325,189,054,
547,500,335,756,146,690,046,985,928,597,798,930,322,833,412,103,660,309,843,
851,361,443,344,547,183,398,916,062,507,691,055,745,542,991,339,722,711,740,
207,393,947,315,597,020,749,709,915,121,771,278,288,392,917,375,312,682,093,
600,255,987,769,603,605,333,724,774,328,117,849,975,411,440,867,313,663,801,
940,350,419,480,479,077,459,294,197,612,878,523,505,306,989,243,457,577,923,
061,627,528,394,320,360,427,275,089,376,503,213,505,727,796,980,178,237,325,
402,176,196,499,589,935,397,670,893,548,168,234,789,259,667,480,305,343,717,
578,121,006,146,994,176,325,039,918,336,729,444,792,178,650,619,482,271,077,
037,794,537,219,993,584,564,722,307,024,020,100,628,688,102,584,147,061,307,
522,206,282,752,711,552,417,691,776,907,757,002,712,682,886,399,374,023,421,
167,549,893,445,461,234,661,785,719,409,492,434,624,287,701,783,830,145,396,
629,118,446,146,823,259,270,325,199,392,861,262,995,217,028,354,170,142,660,
868,077,603,082,333,289,548,304,039,629,226,065,828,336,423,931,823,817,835,
621,695,821,921,305,671,083,899,273,119,469,297,923,394,846,209,492,864,502,
728,184,611,993,127,051,345,998,251,392,733,860,880,014,827,008,793,545,179,
301,924,265,268,905,887,501,454,774,633,865,102,199,661,015,703,711,924,270,
219,810,306,854,047,648,393,222,331,875,234,033,546,826,234,573,803,535,769,
338,096,568,894,441,325,074,655,088,854,182,256,890,716,697,605,864,619,775,
904,979,633,368,716,000,619,046,453,590,236,053,653,659,866,759,667,208,791,
471,111,702,923,540,291,054,541,653,015,965,922,292,124,589,361,771,852,311,
694,338,790,494,890,644,313,784,423,128,027,781,364,821,119,480,698,158,819,
653,489,468,621,228,993,988,178,620,546,944,449,038,140,358,153,673,871,213,
249,937,062,952,692,727,617,032,354,112,080,950,119,409,194,428,619,771,990,
570,721,951,076,790,011,566,400,134,543,644,955,276,364,644,870,126,702,978,
779,674,905,760,308,156,170,804,720,899,558,375,389,709,576,262,982,359,772,
012,596,022,220,899,425,840,999,188,422,576,986,333,557,404,772,347,960,551,
288,718,045,569,329,322,559,797,337,926,156,825,708,173,655,922,708,721,349,
833,673,427,606,920,730,906,376,701,329,219,139,848,404,884,333,834,566,383,
009,523,098,434,019,237,063,612,251,067,223,863,250,349,410,888,937,622,263,
082,124,886,039,904,651,518,005,060,239,260,689,237,921,233,027,326,274,373,
895,380,840,501,756,529,721,284,604,735,715,655,641,722,704,518,218,142,429,
950,511,052,924,146,515,279,788,913,331,646,102,839,016,422,791,622,854,528,
989,246,056,262,272,805,710,944,988,358,923,135,204,996,488,141,029,101,968,
229,245,046,884,224,933,866,521,090,880,299,568,119,011,199,460,336,892,670,
231,181,038,368,089,276,532,808,316,802,872,528,679,555,207,065,350,242,242,
735,390,360,585,979,213,960,335,842,089,344,941,640,685,995,258,261,800,568,
113,729,877,157,627,376,266,331,972,826,125,793,656,468,152,728,971,868,062,
587,568,754,666,265,247,561,814,141,956,438,023,868,564,380,452,513,857,558,
925,767,033,582,037,545,689,645,829,111,595,007,102,095,741,726,150,136,453,
235,643,152,579,829,602,390,266,056,313,156,557,528,627,302,564,193,655,938,
777,984,536,369,398,173,003,094,979,264,702,074,317,680,337,292,274,107,771,
654,077,920,173,875,531,366,538,276,471,355,585,388,858,769,910,338,861,315,
225,313,300,774,310,795,176,146,710,521,921,686,443,077,289,374,234,623,486,
818,874,608,187,620,519,747,194,519,285,816,420,105,466,648,804,996,478,254,
221,655,968,271,850,353,222,444,552,693,380,880,709,162,014,775,266,723,370,
278,005,761,695,295,561,998,692,067,923,190,924,017,185,617,311,642,588,841,
714,175,257,510,765,375,026,002,385,984,988,688,099,265,128,257,690,918,658,
416,792,284,842,960,331,041,427,918,325,477,635,301,786,635,020,443,674,224,
388,824,594,865,125,036,841,089,639,891,973,024,236,447,828,544,152,305,701,
799,368,891,444,234,114,009,810,261,750,108,897,378,972,095,369,414,806,098,
173,916,862,489,505,748,201,060,199,537,413,765,627,552,937,161,547,644,687,
182,708,538,450,246,898,345,670,859,733,945,803,799,463,550,937,742,740,004,
425,419,511,097,073,604,693,717,609,491,536,865,602,961,728,706,632,779,334,
039,062,258,651,164,013,889,517,238,598,696,202,151,224,415,250,578,837,092,
045,723,533,013,974,455,048,541,108,706,366,769,557,227,317,102,654,087,036,
591,355,812,902,363,314,117,356,024,223,021,531,200,052,918,070,189,726,111,
746,972,927,599,415,296,351,684,720,198,235,200,911,773,227,955,124,736,356,
298,545,065,404,199,808,072,255,527,729,977,288,792,875,492,804,643,556,202,
490,752,087,905,210,802,056,849,793,953,319,000,251,111,817,035,978,531,558,
156,306,762,034,950,524,314,595,961,077,170,908,390,012,540,204,145,460,633,
796,625,002,379,347,552,228,039,951,728,958,892,253,668,175,401,610,813,381,
616,038,182,050,206,405,334,784,336,597,006,839,588,121,600,432,179,428,680,
318,511,782,276,807,733,252,011,142,343,004,759,477,685,167,005,417,629,357,
625,214,471,017,653,279,096,186,940,982,789,906,668,441,311,635,961,079,244,
313,106,543,825,714,414,490,098,869,007,142,357,784,405,842,068,755,554,736,
795,933,769,470,927,199,807,339,997,106,686,760,778,690,441,936,063,567,640,
117,773,800,714,688,881,125,718,043,031,783,942,727,384,886,006,396,026,484,
795,105,177,998,009,236,640,312,792,701,802,363,544,015,468,455,720,768,388,
562,381,154,663,083,199,419,294,955,985,363,468,333,973,586,125,434,693,764,
394,813,732,344,528,697,248,887,280,392,023,742,291,009,612,901,405,166,183,
048,757,891,930,626,780,913,262,673,030,985,974,613,882,901,269,785,508,054,
372,874,116,476,819,529,109,259,642,276,702,868,037,247,923,544,767,220,369,
576,970,168,793,143,237,223,034,459,949,897,932,087,947,263,054,785,153,739,
598,125,651,924,011,791,774,352,944,069,435,009,651,790,529,073,188,261,781,
503,296,236,305,574,422,617,424,045,208,252,734,746,506,656,450,091,959,199,
879,258,801,131,869,900,414,770,065,961,753,525,652,871,328,186,965,179,051,
701,310,656,514,543,851,938,738,437,961,819,980,100,315,319,095,152,078,860,
117,537,529,013,851,666,709,636,883,025,064,808,230,611,852,641,584,812,300,
473,150,694,977,641,659,084,984,548,998,356,741,410,665,896,628,599,431,129,
517,767,672,572,929,597,027,104,082,247,659,559,329,787,629,200,302,998,257,
130,207,544,055,786,310,227,447,046,610,142,677,054,134,258,655,128,267,020,
417,170,294,014,217,731,862,367,312,051,497,509,163,640,809,380,480,058,075,
279,689,799,375,254,479,097,014,734,693,214,396,890,393,002,157,448,800,529,
712,116,648,391,236,250,978,542,823,420,376,999,914,090,975,062,180,365,844,
490,903,035,026,187,639,553,642,495,026,473,885,376,189,406,751,668,862,075,
666,621,556,771,765,748,856,489,320,424,944,314,910,514,258,020,741,270,465,
299,448,968,094,830,590,017,898,531,470,097,004,372,585,820,843,694,900,686,
633,127,651,041,237,999,032,228,245,774,631,260,536,695,359,253,935,847,506,
616,666,739,820,025,448,464,088,279,696,325,900,127,063,457,619,512,777,443,
047,090,961,822,255,090,756,283,336,168,144,270,116,875,090,925,841,234,110,
936,478,541,826,133,153,065,137,124,038,229,353,733,296,579,863,696,203,316,
860,209,988,265,147,323,855,749,483,924,832,137,023,202,405,077,826,951,949,
766,634,464,935,953,751,962,172,350,415,696,493,850,306,483,322,454,714,045,
016,824,706,759,775,216,320,007,744,776,938,561,407,919,953,853,588,812,556,
602,650,554,372,787,595,857,547,871,389,685,605,548,024,459,002,456,870,434,
718,955,397,556,679,395,864,032,169,166,981,841,736,595,706,957,878,270,630,
743,525,770,461,255,884,601,859,555,601,800,745,238,231,577,888,112,599,690,
861,202,261,053,726,508,882,271,906,700,502,035,188,468,457,529,802,177,317,
735,033,523,864,180,799,406,283,098,702,315,177,886,722,244,844,111,884,460,
369,843,250,204,788,782,632,053,059,872,732,696,976,138,601,395,579,486,921,
427,657,195,355,435,323,495,370,912,755,743,384,316,826,431,523,051,891,087,
692,858,413,795,482,595,865,025,455,334,997,875,198,279,428,348,744,150,053,
449,404,321,358,834,127,923,727,431,509,123,824,510,777,232,748,922,900,545,
699,322,527,346,212,169,018,327,920,554,557,628,355,785,291,339,801,014,620,
695,077,378,436,443,025,275,755,759,193,249,076,390,252,075,835,246,678,680,
891,947,694,812,273,587,690,536,064,268,265,659,516,228,069,612,322,232,319,
248,888,347,301,313,367,041,495,361,726,514,162,907,163,342,871,966,748,062,
808,268,597,885,026,424,324,483,964,479,510,945,868,712,244,063,236,544,060,
738,651,941,084,200,046,814,629,630,097,988,815,829,098,626,969,514,187,507,
350,889,781,095,518,647,499,347,185,024,670,862,008,651,434,552,880,803,991,
101,997,812,223,881,851,371,646,272,158,118,910,666,753,215,138,621,151,192,
764,348,555,512,500,006,929,417,571,934,016,574,293,289,555,583,145,766,813,
641,435,721,299,659,937,330,654,031,672,924,555,881,491,834,340,479,249,530,
179,535,812,479,273,118,268,392,185,937,436,077,495,195,455,137,889,455,080,
701,851,899,132,902,304,987,793,616,925,670,114,062,203,717,067,433,234,635,
874,267,235,294,491,075,809,390,956,995,988,848,894,152,024,547,864,228,747,
779,685,703,351,524,894,119,780,697,316,902,209,798,154,196,109,288,258,224,
173,394,216,013,924,787,290,671,461,205,151,490,716,158,052,289,821,833,203,
177,556,674,560,750,449,520,177,464,368,687,816,552,845,621,239,543,085,613,
771,991,692,174,293,221,185,161,151,464,997,694,131,954,924,986,888,651,775,
046,594,032,027,920,917,091,585,500,240,678,520,388,462,713,455,549,403,962,
342,909,365,668,540,044,306,799,420,018,385,887,403,371,947,357,992,178,166,
264,595,822,724,936,893,634,679,479,656,550,267,343,201,810,909,326,437,004,
370,841,961,815,158,648,178,008,744,794,823,131,378,150,346,756,792,785,005,
467,134,502,171,131,654,672,135,128,607,412,984,804,958,547,357,453,810,524,
913,235,231,019,653,105,944,710,232,170,537,431,531,583,386,661,639,317,040,
251,254,023,228,865,818,281,741,822,249,958,225,031,279,861,180,856,214,555,
881,719,170,914,657,109,945,716,334,963,180,537,196,506,677,782,810,450,532,
422,957,865,115,202,125,236,310,087,223,459,947,463,688,964,913,154,293,301,
968,944,899,099,220,703,564,713,096,410,216,395,042,432,730,124,708,023,774,
334,558,855,377,666,328,379,676,325,868,060,937,697,200,472,511,757,399,153,
448,089,727,100,669,446,490,412,825,652,446,386,257,113,541,852,202,581,326,
707,120,665,747,183,447,003,720,477,958,791,766,636,054,291,368,427,909,342,
725,494,147,512,179,048,753,563,812,045,646,902,742,890,664,759,799,725,272,
752,339,242,628,164,316,250,972,164,941,746,544,647,436,306,687,079,405,558,
987,400,262,641,238,034,620,228,666,342,154,307,283,413,374,276,494,678,716,
274,732,814,007,820,735,141,962,633,433,449,725,585,735,837,936,306,983,649,
748,388,244,971,627,819,837,633,402,830,774,238,313,092,051,794,541,160,084,
958,698,608,480,591,682,401,990,535,145,788,833,015,346,348,769,257,228,898,
625,640,572,330,298,896,900,321,103,985,138,202,998,334,407,994,126,752,206,
098,211,690,569,020,322,220,471,197,122,037,313,066,950,277,489,987,386,773,
446,604,292,192,032,969,457,266,515,732,940,572,932,652,136,162,225,605,117,
362,845,283,782,776,616,654,926,824,272,111,250,124,528,288,864,726,799,005,
613,758,995,542,858,479,105,508,056,326,059,394,249,918,422,508,195,905,332,
846,174,606,947,372,045,737,048,738,769,999,005,644,141,865,274,395,511,825,
766,945,746,204,662,539,660,419,442,492,298,074,040,751,360,008,265,223,248,
292,644,267,398,984,021,585,912,539,925,002,367,314,015,087,801,996,315,574,
414,290,113,639,894,927,098,259,451,330,031,275,447,438,196,158,123,195,557,
520,688,114,566,914,805,557,129,786,171,850,222,307,476,312,559,760,350,571,
932,710,444,243,477,032,894,831,181,344,989,440,066,308,447,646,570,912,105,
012,652,875,385,806,833,624,445,007,233,814,718,567,726,741,824,903,609,483,
486,790,141,422,868,659,472,256,717,741,801,466,169,666,521,135,713,946,104,
868,142,419,999,946,589,034,516,505,284,220,510,771,951,566,105,825,501,844,
935,009,272,218,465,438,500,767,246,168,239,724,324,616,598,339,761,709,010,
525,273,370,026,176,798,138,024,720,443,113,702,936,202,689,799,618,308,809,
832,375,781,243,387,935,984,618,722,906,763,779,192,739,129,854,492,578,715,
002,686,336,995,475,949,685,903,478,909,591,536,045,897,251,666,143,850,538,
950,569,700,428,816,543,781,474,443,840,098,473,600,254,538,121,137,890,016,
151,048,588,071,355,864,760,238,263,366,032,359,746,057,863,029,214,367,177,
939,994,852,668,303,793,921,055,759,238,740,743,988,116,814,154,320,672,500,
402,696,900,142,373,294,868,913,500,351,241,236,650,829,362,305,130,147,469,
065,226,263,486,529,550,479,979,886,533,642,034,181,675,192,124,900,353,041,
911,233,595,285,635,662,604,579,658,688,929,011,246,583,833,142,040,507,820,
990,706,167,595,505,610,620,691,233,119,513,368,536,340,365,876,743,410,313,
955,165,331,245,225,829,885,275,208,652,643,132,082,034,365,501,475,564,876,
003,768,433,100,026,472,669,257,584,672,072,337,024,397,019,186,681,213,783,
882,878,793,613,284,949,719,161,737,387,218,552,178,925,135,009,581,756,683,
311,366,187,507,257,029,524,393,327,778,469,195,580,837,969,097,924,406,653,
479,738,020,469,946,649,340,217,812,732,026,786,790,581,474,041,378,587,194,
156,693,313,183,134,080,558,185,264,450,522,870,981,368,831,037,955,124,777,
228,475,337,115,849,453,106,783,379,441,585,659,104,891,239,007,333,300,087,
804,705,803,356,621,524,512,257,704,341,854,972,027,749,760,792,552,636,479,
746,614,996,844,197,184,955,240,704,329,695,786,934,115,026,722,301,855,189,
641,080,122,831,879,289,393,338,585,934,403,202,843,572,897,677,461,481,759,
844,709,611,342,864,358,062,826,625,913,757,208,244,220,553,643,552,669,911,
829,074,279,647,139,434,240,889,532,351,453,847,322,000,378,580,292,190,369,
595,570,591,999,315,413,912,113,024,671,448,666,034,769,587,073,805,841,475,
929,737,070,776,713,793,239,496,945,292,650,542,505,500,955,021,416,529,896,
994,371,007,741,633,019,759,176,947,855,468,703,061,832,483,356,851,306,956,
356,036,242,500,671,000,071,234,323,851,162,212,686,470,142,173,823,647,961,
336,913,824,718,092,972,728,064,059,407,751,167,617,636,004,685,018,960,998,
110,803,532,599,824,220,167,321,083,348,914,609,301,157,747,154,335,404,128,
512,282,040,070,868,303,128,003,692,090,581,023,428,559,977,410,208,024,685,
956,190,982,927,046,094,968,727,291,690,043,878,397,404,088,601,405,624,429,
624,728,373,995,644,400,260,304,841,002,451,960,536,956,904,996,113,343,564,
399,312,618,021,290,652,529,684,199,759,204,567,803,042,045,640,130,395,947,
558,948,209,973,779,848,390,739,002,222,541,462,345,184,753,763,171,165,734,
338,474,059,795,034,150,541,737,482,609,010,000,827,741,245,413,973,565,971,
529,940,046,005,037,486,376,138,585,580,209,074,687,514,527,521,381,598,898,
799,090,608,773,391,409,168,194,131,985,488,298,676,716,414,148,520,294,470,
146,368,404,934,600,916,928,543,756,334,867,931,578,777,655,951,848,378,719,
916,251,785,039,249,746,593,188,791,238,792,895,322,064,304,378,800,303,210,
112,924,063,564,457,001,323,939,216,663,189,273,321,021,453,929,558,720,147,
684,163,866,096,656,552,525,076,744,947,732,117,831,986,789,942,866,575,930,
308,089,226,766,967,211,780,970,733,725,793,703,117,030,553,347,958,607,426,
308,425,100,248,405,690,013,579,818,164,228,398,917,800,537,184,494,263,546,
042,903,990,283,172,220,453,728,307,648,339,871,994,486,911,525,113,222,554,
062,258,712,146,658,000,367,463,345,695,916,945,857,877,105,920,266,108,260,
796,408,497,732,185,009,600,886,001,616,569,658,576,516,102,154,660,475,879,
983,098,024,435,744,180,311,483,937,543,492,314,338,909,149,226,715,105,683,
262,558,180,537,591,386,156,640,622,430,434,543,107,076,703,301,556,993,555,
041,159,547,880,981,099,696,716,264,361,292,408,395,262,436,662,620,402,732,
768,805,669,876,565,232,123,072,782,428,420,737,030,614,217,093,972,225,180,
848,026,750,799,307,636,475,784,934,707,003,642,500,860,033,621,661,648,487,
128,339,466,733,394,240,153,709,236,488,882,294,023,549,550,706,381,044,149,
752,280,561,840,574,287,162,053,821,709,916,754,577,820,921,253,965,751,429,
591,855,455,207,460,145,106,162,117,542,417,161,065,317,904,482,663,619,187,
362,168,734,191,151,281,718,655,426,699,854,118,014,278,351,466,817,749,542,
011,731,354,235,318,516,381,870,096,420,886,402,094,009,717,555,588,593,107,
600,343,669,944,264,593,549,286,926,838,872,898,906,528,069,611,237,219,630,
417,116,702,183,084,523,234,600,121,793,775,128,145,346,000,537,579,800,792,
591,588,541,571,365,314,451,278,060,861,827,450,076,308,423,557,902,458,384,
175,390,727,588,994,862,508,319,456,936,796,419,521,891,802,904,675,974,171,
004,485,323,080,966,289,332,127,133,058,987,870,625,852,580,999,737,705,292,
253,702,978,699,405,968,919,666,632,930,166,618,296,041,460,641,341,983,291,
317,281,546,322,513,730,184,742,366,402,488,760,417,514,973,078,260,184,357,
070,848,083,105,461,830,128,218,846,928,113,625,855,041,154,924,874,372,899,
614,704,960,148,731,972,724,287,842,754,602,414,827,727,615,400,000,552,386,
114,714,131,480,536,243,536,371,875,990,167,902,205,251,370,323,060,326,323,
507,597,770,406,204,180,196,211,362,334,516,635,081,097,429,639,599,728,372,
406,942,339,116,406,954,897,218,563,885,128,191,721,019,002,315,653,593,438,
244,466,464,977,900,699,194,656,738,248,900,149,943,205,357,953,693,549,437,
448,070,510,489,018,432,724,668,130,118,579,684,983,659,362,639,160,041,689,
393,495,420,264,498,659,141,000,951,364,309,701,146,456,379,783,080,123,198,
291,648,387,529,045,744,175,727,762,327,800,761,303,553,429,802,287,188,978,
270,291,316,233,733,659,158,270,441,823,721,569,384,515,267,271,903,955,307,
770,826,142,735,617,503,340,769,517,375,966,944,467,548,527,913,714,441,289,
766,896,807,718,253,256,484,797,575,500,657,512,539,562,494,564,338,661,403,
642,193,686,501,115,724,649,258,867,694,256,192,822,995,406,865,455,941,247,
951,949,175,398,202,108,879,849,384,164,796,165,526,906,731,523,165,572,836,
455,106,186,641,140,560,561,667,872,356,030,044,183,450,131,667,538,136,104,
692,602,098,870,048,859,243,951,941,561,546,329,203,981,065,176,137,796,659,
060,997,786,253,237,018,033,212,675,982,640,754,429,269,043,458,466,791,779,
430,460,013,404,117,800,274,440,517,627,999,255,891,629,012,448,463,928,373,
048,872,763,413,871,158,454,650,869,758,786,567,063,081,018,459,312,771,359,
754,911,382,515,254,222,831,715,541,331,696,177,438,083,795,363,334,593,779,
182,448,906,563,489,738,532,895,286,248,726,090,686,208,813,952,914,574,100,
392,823,388,151,008,495,632,679,094,260,312,593,289,259,720,067,434,438,873,
809,918,717,317,971,033,284,724,739,938,536,493,728,160,391,354,951,235,682,
104,921,593,612,909,386,081,760,879,112,488,281,163,236,226,391,220,677,805,
749,664,181,422,906,888,541,947,342,770,210,322,812,372,086,573,693,391,814,
776,306,408,110,086,427,577,948,570,731,567,211,557,906,059,217,922,249,687,
822,827,116,648,044,965,480,112,251,015,497,645,495,357,683,044,132,867,792,
466,620,976,988,640,639,637,352,673,115,688,828,352,360,833,761,911,447,851,
772,002,649,484,129,260,366,711,728,812,298,355,645,115,496,685,837,298,880,
845,149,452,053,118,763,909,623,291,641,988,517,676,771,214,108,974,642,647,
611,098,878,977,967,554,524,359,579,478,689,485,368,282,536,280,212,628,439,
447,331,494,923,613,107,307,149,075,566,164,197,723,841,800,289,639,927,764,
406,555,269,565,484,456,803,039,936,454,088,184,749,376,631,496,108,228,295,
837,078,488,751,103,713,503,937,173,687,751,536,781,924,002,307,790,899,440,
063,975,497,524,979,751,012,217,287,703,478,395,608,406,258,160,601,244,777,
864,231,349,504,070,433,487,663,002,676,958,790,091,086,402,222,371,599,457,
899,932,479,892,255,012,247,716,779,878,247,369,823,256,490,851,279,074,527,
763,791,162,705,569,565,249,782,984,563,271,585,482,437,826,274,686,439,282,
513,508,567,791,668,722,510,565,050,628,991,460,988,777,152,133,191,485,977,
310,766,113,251,444,894,002,374,404,407,410,284,383,796,812,587,208,786,639,
123,335,249,899,817,444,297,249,306,944,321,819,089,734,373,485,502,285,426,
874,154,176,169,078,649,111,065,218,578,259,117,802,166,751,592,235,762,759,
314,039,684,755,618,311,134,827,513,157,620,470,118,719,504,448,355,170,870,
024,705,246,481,935,909,660,923,938,890,555,429,914,145,879,343,796,113,906,
240,543,861,510,124,927,002,134,195,961,966,872,681,902,477,920,599,551,931,
193,634,870,915,585,126,384,781,403,322,198,676,014,345,402,822,934,973,943,
693,147,591,995,635,519,641,125,651,125,074,104,579,024,553,390,873,431,539,
421,079,969,671,956,568,162,645,274,108,007,854,485,319,147,675,963,400,473,
806,001,821,340,184,684,463,031,996,711,727,902,548,887,800,469,835,305,430,
121,763,566,423,014,050,886,606,577,082,661,492,080,790,277,648,175,595,492,
959,714,226,873,238,586,548,251,017,748,390,677,710,049,012,738,775,007,854,
057,368,199,095,957,632,590,367,169,541,929,181,199,411,887,226,066,857,589,
738,560,625,267,919,546,661,193,002,776,583,905,256,751,487,982,863,391,548,
957,598,951,756,804,148,121,659,823,733,766,636,534,408,033,253,156,724,999,
751,134,621,659,534,035,456,089,331,667,466,221,103,158,842,926,449,921,428,
072,990,151,429,917,462,724,032,622,341,015,455,971,377,328,586,395,864,582,
895,856,074,508,727,150,007,812,262,534,947,656,096,627,133,675,071,537,820,
553,243,462,841,220,488,809,541,227,692,937,534,293,176,200,197,414,575,409,
986,866,901,955,365,167,457,011,516,989,800,426,867,739,563,376,902,412,998,
438,507,234,047,171,631,884,499,481,537,534,939,545,787,265,667,741,058,094,
119,702,915,296,460,976,570,037,572,385,603,812,486,141,637,563,656,111,296,
423,126,548,004,893,574,096,734,993,288,943,422,731,082,336,616,254,671,899,
720,036,549,553,146,804,129,344,926,827,462,923,714,182,417,930,080,268,783,
073,315,428,425,977,709,510,268,278,034,486,558,002,999,291,481,015,532,605,
534,639,247,241,189,972,774,682,587,999,268,620,816,141,020,359,816,978,597,
918,475,868,929,742,557,174,300,108,599,884,225,449,914,474,161,753,317,653,
250,723,584,224,466,893,102,615,038,767,803,416,576,465,961,714,282,166,960,
920,342,307,056,749,182,803,315,055,707,539,180,347,724,318,435,077,359,819,
868,202,853,870,925,142,427,395,183,444,732,185,781,027,010,849,284,559,745,
143,666,379,040,770,677,843,024,069,508,095,454,711,355,665,982,159,159,739,
535,069,164,333,132,461,079,964,040,611,152,991,763,911,934,146,153,011,757,
065,686,573,409,426,690,932,489,596,170,796,958,316,419,363,665,013,296,619,
277,857,948,491,419,224,718,795,832,305,393,818,829,658,519,742,668,131,079,
817,475,777,246,946,969,489,601,709,188,368,780,135,929,147,406,481,179,676,
499,069,774,652,474,930,733,611,813,495,999,405,451,294,944,661,918,063,599,
639,359,696,425,202,935,189,304,666,927,785,518,979,992,219,161,867,136,950,
160,768,107,246,957,037,770,255,259,867,852,854,682,378,573,968,995,045,055,
387,825,601,046,062,015,089,697,888,676,653,230,825,466,015,971,829,322,362,
734,090,462,184,857,093,508,473,750,915,732,535,331,658,727,911,457,827,941,
909,722,039,623,152,000,784,017,003,481,420,190,406,086,268,188,748,054,293,
580,353,928,084,028,468,342,508,893,096,296,514,277,279,061,444,340,080,770,
607,928,276,324,085,047,172,219,076,706,754,853,659,275,894,036,157,021,437,
824,544,344,964,613,741,283,982,082,815,721,526,694,120,667,653,693,530,742,
515,458,194,651,993,415,144,691,637,449,554,322,781,510,564,083,067,400,059,
881,061,554,337,915,537,458,157,632,346,410,527,695,833,048,879,030,995,885,
531,297,741,135,607,147,174,233,724,134,255,710,592,340,727,943,877,584,445,
368,213,490,408,557,497,277,228,347,570,680,592,084,404,723,763,168,321,793,
126,611,427,549,106,093,153,449,668,053,786,840,165,251,464,623,401,993,035,
259,663,289,430,648,590,854,516,087,430,654,716,985,936,464,693,007,520,715,
399,416,143,247,272,840,251,594,675,278,458,490,013,617,564,849,350,326,461,
868,671,926,431,460,967,816,631,993,119,055,509,972,655,609,968,811,787,608,
750,763,446,099,057,956,412,630,018,787,098,460,649,485,256,808,063,669,087,
720,352,096,160,688,299,711,918,852,033,434,730,804,661,066,733,846,383,997,
334,668,038,582,895,670,975,783,665,882,916,849,052,282,960,430,017,589,721,
861,740,848,314,139,058,556,065,174,403,803,626,915,539,961,571,459,953,322,
657,555,023,610,628,284,575,361,307,375,206,293,604,484,370,136,637,583,511,
499,456,895,386,640,951,584,660,985,608,081,686,381,837,978,456,134,875,751,
489,107,396,725,665,168,615,386,851,607,785,483,669,553,208,319,532,722,480,
723,228,574,749,792,462,641,721,087,737,701,271,460,954,285,422,366,575,175,
269,970,855,558,251,941,377,569,864,529,408,142,208,833,928,302,537,588,214,
803,003,841,562,478,891,011,474,203,200,431,093,593,169,027,063,349,978,461,
417,566,020,335,080,520,081,482,922,063,646,344,370,007,624,300,534,449,199,
172,136,347,298,465,963,641,281,732,132,899,370,535,689,145,027,777,157,552,
283,554,190,686,902,474,147,324,576,175,327,743,779,854,649,782,169,471,658,
223,354,844,057,456,489,669,867,286,889,804,776,296,017,675,266,692,312,457,
829,100,395,841,118,584,339,484,756,461,294,339,539,948,885,869,595,157,327,
359,009,720,333,090,691,704,482,166,025,964,048,662,582,826,886,776,260,689,
773,304,428,925,746,972,263,452,669,636,713,347,500,786,489,482,986,603,886,
070,015,730,312,772,966,685,493,711,128,125,855,671,008,912,210,435,388,417,
017,140,031,133,248,461,721,122,510,963,905,891,233,187,873,373,137,257,140,
389,386,502,092,704,640,446,931,925,630,454,093,352,325,110,761,092,780,690,
452,231,094,922,911,621,204,351,182,889,976,289,279,054,484,515,812,691,491,
723,529,776,474,490,520,618,856,178,243,166,590,225,245,855,873,973,282,669,
198,770,355,069,572,329,725,003,192,161,725,704,712,990,574,562,034,597,735,
875,121,943,479,978,609,162,376,749,171,040,672,399,542,647,436,252,584,615,
438,005,113,808,306,819,274,800,217,040,956,574,837,339,110,884,806,786,774,
978,388,754,973,267,924,340,192,671,852,959,275,449,954,543,971,537,387,517,
229,125,101,694,067,635,360,327,767,317,752,520,627,359,003,085,335,851,298,
132,713,236,628,339,464,132,820,334,142,807,868,027,333,739,344,578,248,188,
588,530,113,214,962,547,807,608,210,194,781,492,642,060,552,783,424,284,067,
199,463,090,030,992,813,943,613,143,472,691,754,109,068,633,106,532,968,129,
799,824,247,797,460,495,394,211,198,604,659,585,907,604,826,614,357,382,858,
457,883,439,157,339,493,560,477,126,693,867,116,254,093,306,751,466,932,209,
963,325,643,410,839,157,830,391,185,805,396,905,870,346,083,192,888,472,451,
247,429,039,983,756,722,078,287,382,080,070,912,211,920,209,324,497,857,010,
902,418,173,253,417,236,385,626,701,482,198,946,374,482,772,541,172,260,117,
390,225,590,539,892,634,393,963,292,263,750,315,197,992,710,318,256,029,923,
678,259,265,303,615,419,690,941,592,259,514,596,597,100,891,388,944,414,682,
264,737,769,711,383,544,807,026,063,232,952,627,861,185,468,304,007,321,703,
785,437,883,760,591,547,367,799,151,296,825,775,669,812,140,832,343,578,439,
697,305,858,596,481,558,357,730,283,523,498,138,446,912,594,623,494,894,821,
520,741,797,103,678,459,293,685,928,979,420,495,916,457,007,280,688,394,030,
847,290,585,479,478,719,038,333,244,334,279,173,250,638,614,285,408,867,769,
957,592,474,705,615,499,824,867,753,750,895,179,129,331,874,792,354,391,119,
376,906,462,496,764,231,916,403,077,375,590,886,344,833,772,444,488,677,991,
382,928,927,083,596,447,821,131,010,895,173,535,067,381,588,468,054,122,592,
490,655,669,948,205,435,947,085,463,015,107,768,911,622,485,755,587,814,978,
205,138,715,672,887,807,599,673,036,298,607,283,244,531,181,830,282,369,123,
034,811,340,798,062,596,805,957,095,116,558,513,856,445,483,523,538,814,462,
007,285,698,469,115,015,077,653,553,198,354,203,169,919,988,698,740,174,359,
168,347,002,002,368,712,714,328,063,175,300,736,635,890,614,381,336,199,475,
419,003,906,714,343,342,538,062,191,219,983,164,010,062,958,833,958,470,763,
016,446,121,596,365,553,851,744,165,348,688,658,654,766,078,068,143,194,948,
955,805,758,415,515,972,165,684,945,755,075,752,323,219,726,826,825,059,503,
263,000,083,462,146,448,949,510,321,435,838,711,085,980,847,811,838,414,572,
075,782,987,916,152,380,308,384,989,479,067,083,959,073,131,646,482,808,967,
361,034,543,187,962,970,751,800,767,899,150,486,018,115,104,909,949,096,090,
378,069,166,072,341,455,023,692,009,356,270,219,100,265,449,287,728,167,404,
591,759,284,766,892,763,439,377,819,950,846,983,226,753,133,770,952,475,875,
213,487,967,661,779,766,401,975,906,609,801,507,680,591,343,746,014,984,169,
809,249,868,963,040,750,091,190,667,413,057,125,941,238,840,734,788,524,525,
872,542,823,221,980,065,981,327,196,757,067,988,151,572,840,239,566,443,216,
506,541,162,626,689,023,712,840,712,038,793,561,094,242,088,253,439,020,372,
217,812,586,239,519,630,827,584,762,232,750,700,346,441,919,905,133,782,304,
533,763,446,282,252,367,722,599,045,814,219,627,450,304,865,675,838,172,339,
754,929,888,196,835,122,523,339,368,301,156,154,961,353,804,646,598,031,002,
219,779,572,925,658,148,905,788,822,782,922,684,890,791,316,647,225,593,778,
496,374,324,945,763,892,659,525,392,172,145,873,897,305,116,425,237,313,233,
187,279,338,098,929,983,715,733,174,368,928,288,025,365,953,242,027,562,881,
662,718,496,367,710,037,083,107,139,248,563,905,719,687,127,291,926,992,474,
415,828,768,617,314,122,594,781,073,956,251,247,416,973,513,156,728,844,779,
435,696,225,379,244,022,200,523,119,554,475,331,428,948,482,125,906,429,568,
175,074,718,365,807,224,315,632,079,149,568,239,602,189,751,375,892,775,252,
347,221,570,494,812,521,280,252,527,734,868,788,785,488,790,688,723,203,609,
257,400,668,824,525,739,875,007,106,336,602,937,231,441,565,596,987,351,568,
795,113,849,449,757,920,390,850,946,063,317,074,467,657,522,455,235,844,971,
559,079,504,829,068,463,021,365,268,175,504,797,198,243,341,217,980,386,243,
145,470,104,417,084,783,079,355,065,763,328,937,569,317,582,015,976,699,834,
833,741,584,051,734,793,466,902,742,788,470,246,048,858,832,827,967,447,285,
742,845,854,262,960,956,026,508,252,493,508,284,848,405,546,914,806,251,950,
225,358,038,990,690,447,280,459,776,308,703,980,018,670,352,780,578,920,406,
520,386,449,554,429,734,232,775,683,236,881,104,577,198,167,302,923,812,224,
915,350,081,510,613,813,414,872,632,005,923,740,311,339,458,155,005,400,171,
587,877,617,800,122,711,661,343,741,850,217,155,573,579,270,856,701,282,134,
966,095,992,260,762,040,959,968,247,018,567,075,184,854,434,907,957,433,389,
307,917,782,350,154,841,243,686,245,419,807,407,958,660,425,911,276,467,467,
753,324,191,722,030,665,636,400,143,835,895,114,018,058,360,869,935,692,399,
892,387,210,608,111,978,877,222,713,932,263,712,512,476,348,332,322,002,496,
333,572,179,662,517,854,913,113,733,973,855,980,741,413,479,655,395,281,719,
798,751,537,963,843,906,646,550,700,371,650,429,628,493,451,926,629,608,189,
028,641,968,944,844,799,982,312,967,283,098,665,767,711,894,265,965,686,441,
395,000,424,982,359,754,485,566,402,473,249,742,376,965,161,850,687,062,319,
491,453,316,856,528,975,336,150,560,908,189,827,594,475,109,841,995,896,327,
570,892,301,729,996,835,280,701,481,114,805,500,892,637,507,249,261,700,440,
373,737,352,250,063,695,826,979,949,212,971,893,500,273,342,919,495,892,724,
819,955,615,528,441,691,860,256,368,722,242,463,345,362,709,730,037,721,818,
175,796,505,815,086,208,277,193,868,413,490,961,567,915,662,071,907,589,474,
896,408,339,259,842,622,677,131,203,334,829,327,056,605,107,424,609,070,518,
706,379,024,752,482,685,447,382,327,548,312,957,188,785,183,420,156,700,895,
999,359,294,161,665,990,130,824,550,333,722,404,227,483,125,154,225,687,032,
354,245,632,185,281,960,307,506,378,518,930,799,594,472,703,260,370,505,021,
426,902,117,396,297,471,967,645,751,796,175,878,025,153,160,414,577,191,798,
714,108,220,317,563,868,237,649,130,272,476,064,210,376,456,744,470,219,449,
978,182,789,790,100,511,782,725,006,586,483,872,083,343,865,398,565,694,788,
195,784,944,744,843,727,094,200,965,781,789,409,647,495,869,139,390,738,188,
322,933,417,660,016,059,456,193,980,017,758,080,917,005,601,160,111,969,637,
409,742,834,789,339,198,720,590,857,332,431,267,952,607,266,444,294,339,103,
234,144,419,445,193,197,901,188,577,484,134,662,159,332,526,343,431,630,324,
533,331,501,562,717,268,283,933,431,050,641,877,040,763,948,743,599,127,772,
615,752,827,072,509,131,190,270,940,360,524,365,181,582,807,777,630,072,354,
246,809,602,574,881,354,467,325,434,921,199,768,726,134,297,409,876,398,617,
296,984,691,204,790,722,102,430,720,733,108,568,943,889,439,714,352,690,728,
239,424,582,553,672,534,496,239,056,707,915,599,400,697,456,529,562,459,040,
911,693,836,866,054,634,597,318,300,673,943,778,159,522,396,615,823,511,656,
341,131,101,501,161,238,571,185,278,448,902,487,301,106,269,414,825,676,001,
375,114,312,419,045,070,498,188,205,800,390,367,504,278,067,668,640,594,104,
136,475,635,075,973,404,323,910,021,240,355,059,063,607,449,788,486,235,105,
325,111,095,500,450,992,182,739,424,249,777,818,595,499,409,921,200,026,050,
499,115,611,170,047,964,124,728,004,637,532,534,904,924,416,403,089,073,576,
551,521,226,870,684,434,040,186,821,533,179,774,024,333,350,652,464,006,410,
934,267,510,584,668,184,419,106,338,749,698,794,688,543,165,743,159,959,133,
808,068,358,369,469,875,959,374,581,034,252,377,242,576,462,412,241,758,536,
107,351,439,112,904,769,507,377,479,190,108,645,793,185,345,628,215,668,919,
365,667,238,385,203,360,343,544,008,030,956,563,492,914,061,732,027,899,491,
311,415,005,858,016,828,924,590,235,773,120,440,849,722,917,512,361,628,609,
755,586,719,477,635,004,175,903,095,732,340,222,703,612,271,997,996,354,779,
486,847,347,592,978,208,637,321,315,654,036,117,801,964,609,703,111,573,492,
873,286,951,398,507,709,053,732,634,599,797,913,432,887,792,795,160,525,018,
037,291,916,527,653,881,260,441,425,667,499,406,515,551,654,771,944,321,234,
432,972,115,776,020,694,171,858,827,148,452,225,675,027,980,062,449,617,924,
738,997,885,220,856,937,418,596,418,311,201,995,405,968,823,059,748,223,502,
768,804,404,011,580,094,246,319,773,773,865,378,585,406,375,022,240,755,801,
185,511,105,390,959,549,059,639,951,930,949,941,571,062,160,293,104,138,682,
270,075,199,087,358,612,639,647,303,135,190,603,617,759,236,046,426,296,721,
222,287,032,801,348,138,856,780,805,013,118,570,164,685,482,530,488,977,296,
851,247,253,676,916,461,651,699,785,802,192,192,396,213,460,435,970,702,714,
522,042,698,749,600,847,704,379,212,065,422,014,356,881,765,714,840,183,103,
241,187,389,975,382,603,981,687,001,553,815,939,782,498,923,893,451,299,328,
803,262,457,253,488,887,923,677,028,023,220,997,815,304,845,590,586,550,277,
062,084,843,000,050,224,567,522,010,500,852,485,792,354,529,543,206,134,624,
964,398,805,546,907,435,385,313,501,855,985,670,925,695,143,085,801,112,800,
306,084,611,540,880,421,296,863,939,271,751,199,415,648,834,469,260,678,259,
938,335,537,978,235,173,052,124,392,958,374,333,248,571,381,047,043,831,888,
805,226,198,122,153,050,601,905,030,569,996,339,645,098,787,931,800,022,470,
248,724,467,926,433,352,284,973,210,135,221,113,125,355,233,255,232,847,677,
025,038,242,947,477,349,178,820,711,151,990,642,390,260,543,214,096,576,958,
350,721,528,897,304,742,746,744,038,513,495,246,359,552,574,220,185,268,209,
044,698,184,540,644,129,728,208,383,916,809,169,243,372,435,242,339,812,755,
943,377,748,323,141,734,954,824,340,060,906,883,787,259,000,025,883,152,223,
545,539,177,897,998,762,648,269,362,898,343,993,335,935,277,807,269,531,673,
200,450,913,391,367,572,606,625,414,291,394,998,955,680,065,777,877,907,002,
691,489,988,882,934,886,203,548,443,693,751,416,625,188,910,414,719,780,218,
440,466,571,398,761,966,192,059,357,304,962,885,021,433,143,370,561,223,186,
726,620,790,721,068,595,120,190,587,921,274,736,160,687,027,910,290,533,085,
811,517,823,920,709,998,195,827,041,940,940,126,370,741,960,362,792,774,629,
933,087,918,851,614,520,665,232,764,948,083,082,198,657,278,603,748,618,523,
658,687,768,170,402,568,222,137,103,875,624,576,334,438,298,414,750,281,524,
588,841,907,268,164,823,930,553,240,715,755,872,809,063,665,496,066,217,064,
161,425,660,973,732,100,627,341,892,387,542,762,861,207,722,529,838,540,983,
464,390,406,791,817,762,839,064,197,385,276,083,275,455,695,186,270,234,875,
683,115,726,947,962,330,216,080,784,971,590,981,361,596,232,765,212,554,857,
116,146,892,977,932,202,758,788,122,911,291,049,085,392,912,371,255,340,828,
649,822,200,316,279,390,028,162,710,693,723,645,407,188,001,263,387,208,737,
891,649,024,376,775,580,353,155,779,908,422,660,504,383,837,681,201,866,842,
709,736,492,747,820,037,086,659,870,404,366,818,153,440,759,079,352,264,588,
959,528,532,291,681,397,687,506,822,140,458,775,167,253,007,499,216,757,615,
929,493,084,387,183,469,224,406,310,372,648,588,141,931,056,452,534,111,128,
099,797,547,157,505,607,852,568,280,750,325,853,877,511,668,079,300,565,403,
019,130,419,080,561,319,515,015,085,156,365,586,071,924,857,327,121,770,947,
188,084,129,415,947,898,758,154,867,509,349,911,053,868,118,952,744,807,303,
523,161,608,527,719,197,082,514,644,819,291,478,309,430,189,552,517,276,591,
910,170,823,203,453,770,230,630,460,636,560,211,348,645,685,654,193,863,108,
370,124,151,950,700,687,228,957,080,240,510,205,435,120,812,274,336,854,488,
139,898,308,362,155,072,588,286,469,861,951,888,885,643,875,137,406,207,140,
577,874,238,761,555,417,702,580,650,211,981,390,292,199,847,357,119,608,355,
228,762,690,139,577,874,174,578,729,160,415,559,486,740,335,058,329,262,255,
815,125,433,510,428,802,194,141,405,100,154,966,648,498,517,541,110,142,386,
766,193,309,413,997,972,409,415,349,584,560,442,295,795,932,899,725,289,652,
431,503,016,909,566,511,167,600,537,574,085,604,374,954,823,201,784,573,711,
200,815,577,106,543,291,643,729,927,662,853,130,545,545,126,885,811,190,307,
394,715,450,847,292,372,719,480,259,196,967,762,082,403,094,582,021,272,688,
778,273,093,286,369,694,330,721,055,327,539,337,505,941,124,324,934,815,276,
307,144,856,344,068,138,099,835,433,563,548,210,678,452,728,449,383,174,450,
017,333,320,967,030,788,449,717,207,491,496,387,771,436,549,013,105,694,492,
322,364,924,834,141,705,034,116,018,696,575,253,826,903,782,835,409,432,295,
927,964,425,701,126,091,442,274,713,118,873,286,616,998,125,995,363,578,755,
314,366,261,296,845,141,894,444,755,881,402,548,310,293,760,320,074,367,731,
373,432,597,465,846,915,087,572,270,460,840,330,942,038,364,800,876,601,653,
889,969,099,036,263,870,544,216,361,193,459,540,688,977,317,621,606,556,488,
900,537,791,252,285,007,557,271,972,014,351,516,619,505,769,053,040,068,318,
362,913,488,714,267,074,441,347,576,863,441,421,719,806,917,055,967,737,599,
941,188,098,179,891,940,912,841,050,352,376,186,623,155,804,857,089,592,724,
838,215,353,763,520,342,923,232,996,742,869,863,500,096,885,690,562,283,072,
154,804,458,824,925,497,729,259,254,988,870,754,243,197,411,614,126,344,741,
560,638,558,404,945,065,101,547,664,926,150,591,593,748,207,298,520,468,009,
687,667,205,040,840,051,286,672,253,581,797,074,215,547,451,152,379,385,504,
362,529,607,583,329,737,843,036,291,396,347,944,541,173,628,287,528,560,944,
364,843,141,216,099,894,355,990,358,073,687,279,248,073,513,478,189,406,298,
452,478,084,889,604,177,042,271,006,248,002,539,288,205,641,982,938,016,875,
980,987,563,040,451,512,118,373,045,131,693,335,082,088,146,926,387,518,279,
839,090,198,951,366,988,650,989,071,320,349,252,987,909,636,314,848,524,854,
120,150,979,276,111,908,756,209,320,424,494,437,011,853,468,534,256,941,750,
238,382,765,137,433,486,632,766,500,825,707,376,255,584,653,041,468,511,377,
301,868,407,671,496,788,621,552,582,769,738,518,504,274,762,121,118,060,867,
992,206,420,928,819,429,780,026,602,575,358,438,904,529,493,121,760,600,650,
328,072,014,378,250,962,964,901,169,871,020,590,829,815,411,048,139,793,583,
458,460,764,600,025,218,735,721,035,832,986,182,665,654,445,090,548,484,643,
913,822,448,193,879,878,216,405,831,887,233,676,737,577,928,964,724,254,331,
061,553,305,358,978,078,428,639,718,570,980,450,149,968,016,659,589,033,234,
350,814,587,978,777,668,925,125,668,437,632,407,259,051,236,655,077,705,890,
772,301,982,401,019,364,528,636,223,402,637,454,729,245,409,258,607,714,596,
905,876,896,113,531,008,695,066,380,049,082,600,597,865,093,154,296,082,879,
528,273,379,577,192,502,851,424,974,258,379,469,148,737,872,819,083,916,807,
224,228,269,232,835,208,145,663,926,940,288,722,289,908,266,492,118,076,491,
531,035,163,786,276,558,883,738,782,398,355,140,658,558,154,366,263,013,787,
877,092,309,719,386,568,894,509,040,138,656,757,349,800,139,338,137,408,371,
339,136,732,969,925,266,058,312,532,876,441,943,224,607,997,580,648,624,193,
342,308,364,354,283,611,569,923,478,704,288,462,814,231,151,929,922,708,331,
711,714,743,653,752,257,570,461,815,485,619,696,496,788,323,562,087,353,433,
999,009,406,559,416,205,261,806,759,632,222,528,181,402,638,130,441,777,637,
893,082,953,687,786,958,886,210,008,998,671,707,356,029,869,807,722,274,044,
305,815,088,253,045,413,824,067,434,846,931,625,581,757,566,162,670,383,517,
132,573,674,537,269,368,534,730,665,216,234,284,933,630,288,780,583,542,325,
845,729,045,760,663,411,902,538,884,913,177,371,812,297,353,375,866,974,833,
250,101,389,516,113,286,077,084,567,894,222,134,654,080,772,523,705,907,541,
549,893,967,300,078,856,935,227,399,072,596,097,036,938,917,220,196,747,255,
852,808,452,123,449,976,973,489,079,089,414,454,324,618,210,145,506,225,502,
938,640,229,391,354,519,577,424,974,206,477,344,505,204,811,747,667,486,477,
131,284,510,443,320,414,102,164,791,992,542,683,301,099,876,501,869,812,639,
700,198,810,388,546,208,229,293,187,228,274,750,916,957,028,462,967,740,295,
205,986,168,100,145,839,960,440,415,038,205,497,715,182,839,683,396,662,540,
598,384,995,072,417,498,973,981,535,403,395,282,344,463,465,588,065,283,061,
802,330,927,487,406,979,477,139,120,091,457,185,817,017,454,643,022,983,455,
452,364,430,330,878,468,322,748,525,718,550,124,627,759,051,717,549,217,791,
517,100,718,541,741,651,538,493,597,282,340,883,409,181,543,152,885,309,523,
083,966,299,003,973,757,217,738,717,636,057,266,068,721,511,004,345,663,669,
976,392,541,027,557,754,589,595,845,877,560,711,809,867,109,575,670,415,440,
945,257,828,619,566,073,748,818,093,535,204,144,366,490,697,316,208,565,728,
874,861,214,734,699,646,671,704,976,982,080,633,576,701,632,070,560,311,619,
436,567,778,096,731,574,134,332,902,681,166,628,645,764,571,244,390,140,446,
203,015,246,885,764,659,087,516,009,847,672,611,024,601,616,323,912,600,203,
767,277,813,931,634,585,683,251,038,299,538,047,479,688,625,035,059,288,719,
101,407,364,212,850,226,791,801,698,765,030,139,392,217,147,070,463,165,891,
517,538,604,365,562,505,373,151,027,950,442,925,103,891,901,651,756,485,607,
353,523,424,553,351,177,485,417,911,106,713,301,711,617,091,749,307,917,365,
694,173,381,690,376,523,532,688,878,419,201,655,978,282,479,525,693,823,217,
846,284,582,561,621,807,210,485,996,126,433,888,072,664,402,958,655,406,120,
697,970,642,302,484,988,905,309,540,503,388,985,152,277,351,339,183,283,278,
101,627,430,577,762,714,902,273,990,323,008,173,799,081,901,746,985,666,356,
301,388,939,392,136,151,393,472,439,705,793,173,346,150,346,094,847,884,636,
538,699,758,111,774,194,862,315,816,390,887,333,439,479,613,590,249,004,404,
050,907,389,028,321,741,303,751,311,236,013,083,719,137,377,257,395,541,588,
443,311,271,241,940,601,707,231,842,641,362,899,545,583,342,442,796,507,018,
021,121,095,631,357,207,283,047,594,175,929,522,858,981,861,245,144,715,775,
830,594,712,715,298,116,469,797,982,520,536,063,662,729,516,606,561,049,019,
966,033,558,162,104,948,295,282,324,617,636,725,815,365,840,193,098,851,852,
928,512,882,927,461,731,126,654,017,082,117,167,752,029,844,443,964,719,180,
927,213,462,379,522,362,257,792,886,791,632,396,625,737,820,335,665,891,518,
559,857,343,312,087,835,219,365,825,750,680,268,878,493,273,570,165,199,692,
573,305,124,820,506,286,179,312,509,752,907,184,141,728,625,611,606,888,468,
771,158,688,359,114,192,854,587,811,469,817,247,584,190,832,421,329,870,158,
292,235,199,148,307,393,536,142,777,285,212,517,610,002,405,081,913,700,270,
976,174,831,113,767,151,331,206,334,451,142,436,716,538,905,939,424,696,153,
143,872,955,422,892,452,315,008,244,387,261,265,893,099,352,623,723,103,533,
375,454,077,389,997,281,676,054,886,616,161,532,082,936,560,416,408,340,842,
441,164,813,675,121,594,418,055,364,204,746,612,033,312,837,348,639,471,177,
866,830,071,976,232,830,410,580,437,100,806,841,408,276,861,680,394,104,961,
463,259,096,971,953,802,715,133,807,371,579,991,945,965,295,557,138,190,602,
786,090,271,953,725,711,176,971,425,811,189,425,311,389,571,016,817,838,941,
700,762,511,801,221,194,505,069,531,427,502,188,657,772,308,186,881,618,614,
766,043,155,695,911,233,509,857,727,999,576,315,750,306,260,336,032,721,534,
071,557,712,489,207,472,002,273,227,652,084,040,826,817,901,358,661,674,661,
430,919,155,751,194,713,924,816,920,447,163,261,835,259,298,245,649,590,901,
578,737,265,036,452,166,959,076,282,879,354,214,085,690,499,626,352,355,850,
465,381,901,487,809,133,848,751,725,787,318,940,720,739,800,615,662,564,533,
282,985,291,565,189,724,694,198,028,363,528,095,312,456,129,814,810,494,500,
896,692,489,518,366,710,069,286,312,360,455,767,881,095,217,598,996,587,714,
267,182,701,312,152,285,108,748,053,205,975,138,316,229,763,886,330,342,144,
948,103,703,560,931,121,162,492,367,392,195,623,137,954,989,619,612,921,935,
709,547,634,933,419,797,905,522,619,769,219,923,536,205,856,714,220,545,526,
149,561,170,563,917,685,342,683,450,393,064,401,533,047,022,914,081,218,562,
978,196,486,617,943,940,433,554,680,973,755,913,477,940,536,083,968,775,366,
108,111,540,766,738,918,478,047,411,260,051,826,969,539,217,606,341,780,829,
205,247,907,974,723,044,359,426,357,525,937,311,999,086,744,540,182,332,231,
499,298,169,888,652,469,507,673,595,670,550,712,030,684,013,041,730,385,284,
293,982,242,667,373,496,669,028,662,909,277,522,063,961,527,743,210,592,033,
783,525,156,818,157,548,908,433,759,809,832,149,193,510,524,771,278,165,261,
499,181,942,788,902,212,394,811,584,619,817,885,970,535,370,758,630,040,505,
059,396,649,550,944,101,932,088,589,357,332,454,050,576,398,541,433,164,645,
615,716,308,247,282,705,634,267,283,510,353,380,236,052,374,649,158,485,548,
628,644,454,639,522,097,046,952,336,724,762,586,321,464,603,588,887,822,819,
721,149,448,439,198,912,615,956,594,171,874,144,241,309,936,268,029,204,356,
130,359,145,671,769,870,157,861,454,039,137,187,316,712,931,608,486,250,546,
787,429,343,883,680,673,309,828,528,303,044,790,136,402,910,591,968,405,582,
870,986,428,488,794,223,652,180,958,784,427,502,374,495,093,398,222,481,673,
481,823,057,152,141,994,774,637,764,600,599,657,061,759,133,485,806,810,913,
710,683,969,816,286,101,998,580,378,764,523,446,088,596,978,705,124,201,579,
846,212,100,742,858,441,177,133,972,688,400,547,218,531,657,235,887,484,932,
553,072,710,428,525,618,733,306,995,552,821,712,436,478,476,246,163,864,271,
578,330,062,010,994,488,014,451,649,742,406,759,571,191,981,293,005,324,312,
637,467,111,026,879,869,683,111,494,550,501,313,751,989,299,281,049,290,175,
500,878,667,273,022,611,791,577,198,653,456,487,153,024,618,576,702,104,327,
759,514,804,990,374,682,702,612,804,165,458,169,163,391,816,993,249,005,412,
250,797,889,207,355,391,738,699,896,265,609,987,431,112,617,812,345,244,365,
563,764,072,353,572,264,766,966,011,330,361,060,662,736,017,685,565,066,450,
577,371,574,291,244,472,619,897,743,743,382,135,355,982,021,058,011,194,568,
831,205,284,193,485,975,822,338,089,372,648,332,165,819,832,428,907,959,689,
217,618,133,279,751,962,351,725,487,686,637,967,276,813,261,631,369,637,073,
484,356,147,456,684,397,472,016,203,727,758,967,029,190,289,335,485,961,433,
702,105,063,427,295,757,592,471,734,352,442,745,462,717,867,735,050,464,958,
310,193,580,773,782,008,803,516,820,181,483,519,928,977,887,609,609,175,210,
147,710,064,425,867,973,576,364,726,849,621,177,269,758,196,088,504,420,616,
697,248,331,455,304,672,457,008,867,920,860,725,571,816,245,719,419,129,971,
059,838,476,063,187,295,710,569,140,623,493,256,357,800,083,647,030,427,268,
431,518,833,094,924,910,387,953,648,804,235,613,004,547,274,877,162,696,771,
921,220,920,256,096,581,521,304,499,679,578,228,514,947,537,584,051,390,417,
181,846,070,381,346,370,696,551,725,543,647,191,492,163,046,044,799,893,017,
494,122,219,045,463,759,550,589,455,165,540,723,642,231,655,993,049,304,009,
562,371,709,782,161,414,997,430,122,336,402,002,293,190,661,319,306,683,069,
526,042,795,787,516,731,157,748,572,943,019,709,805,749,297,091,425,271,518,
743,894,885,861,134,972,605,978,192,470,773,568,216,943,723,855,761,440,039,
426,487,880,029,145,943,134,200,195,353,855,770,406,485,969,874,422,160,757,
237,369,384,245,798,486,031,472,878,090,010,766,188,002,979,834,696,823,663,
441,766,654,482,923,247,467,766,280,282,751,850,284,700,827,697,938,906,411,
158,213,649,004,996,553,902,670,294,061,071,252,979,641,486,076,870,646,674,
023,217,292,283,700,417,214,965,420,791,560,339,406,323,054,735,791,611,909,
672,177,771,476,496,531,372,004,805,048,993,771,825,940,153,236,732,272,062,
641,408,078,520,256,330,861,098,371,888,764,558,099,590,751,896,048,157,235,
806,803,933,061,835,199,586,480,339,773,162,662,277,810,420,912,169,162,726,
670,486,653,503,092,207,565,657,458,308,847,554,940,172,277,608,589,675,693,
738,771,792,024,029,105,345,885,489,681,834,268,136,176,151,878,591,370,082,
731,526,883,772,235,480,198,040,604,829,477,564,930,203,444,133,061,602,104,
360,294,987,929,759,199,881,326,598,699,666,254,332,095,520,038,619,344,689,
856,194,621,002,118,441,223,076,658,909,598,177,151,534,872,737,115,141,119,
323,065,142,077,068,438,096,858,942,429,722,053,523,454,589,248,470,621,428,
497,111,947,116,935,076,257,848,093,712,686,232,056,326,863,725,294,525,756,
825,050,351,416,438,817,963,248,527,127,214,698,663,558,155,806,358,206,711,
745,144,627,812,946,597,940,214,826,988,520,303,224,679,871,743,498,780,880,
379,328,991,280,538,911,693,829,687,002,511,308,601,330,779,313,082,315,386,
956,824,376,565,408,794,666,052,773,943,181,596,979,172,974,273,227,925,254,
548,750,204,488,150,657,935,462,394,644,167,913,061,661,794,352,966,689,024,
148,509,196,009,139,438,325,634,768,609,420,819,508,434,749,547,160,831,562,
380,955,228,950,612,391,484,798,847,790,563,319,614,737,141,350,654,437,528,
125,553,378,971,172,341,785,861,659,042,689,311,932,269,839,040,764,552,165,
872,857,890,251,206,205,392,188,186,955,282,599,782,764,634,391,558,637,854,
387,800,940,511,620,702,700,823,178,792,271,968,146,021,582,725,190,025,679,
649,921,992,466,744,421,080,052,367,616,773,017,531,895,790,873,919,182,970,
093,757,449,563,172,597,919,326,253,336,986,179,907,919,020,760,190,884,420,
595,419,262,601,069,565,889,630,203,765,884,074,514,443,990,994,288,186,079,
717,241,488,871,751,799,656,986,952,500,686,133,840,421,653,989,606,520,903,
431,952,410,936,097,259,151,150,074,055,447,224,317,292,333,081,169,971,600,
325,856,918,892,252,848,777,695,769,845,955,938,808,388,650,938,575,719,139,
676,023,448,386,010,335,456,598,896,636,427,738,291,126,157,417,665,569,527,
167,741,132,751,480,150,315,536,016,796,846,559,918,089,249,884,703,541,056,
554,580,483,780,799,984,671,903,507,154,816,070,518,227,163,786,051,171,494,
566,169,637,916,820,840,104,360,185,332,751,185,392,045,705,732,290,222,934,
368,913,182,202,583,770,875,469,056,944,858,523,054,589,378,304,980,174,275,
033,670,390,806,733,198,961,973,835,211,441,564,510,352,678,542,309,575,469,
319,954,282,897,342,780,464,298,985,547,792,267,556,209,387,875,187,107,277,
689,036,738,363,009,659,851,738,844,380,144,592,129,143,767,115,773,793,167,
483,276,733,867,611,944,872,729,933,497,455,934,057,726,827,445,292,533,777,
427,829,486,691,544,163,390,949,853,717,243,807,329,095,909,191,634,832,942,
107,473,977,827,461,660,540,048,903,278,995,154,082,020,807,192,381,024,444,
645,594,492,690,638,177,541,532,992,211,978,994,118,779,420,515,638,195,163,
272,562,105,649,854,927,428,197,444,890,167,090,119,052,800,483,162,563,345,
462,610,950,003,344,076,197,538,962,904,353,907,942,664,742,378,224,501,667,
860,205,611,623,700,886,533,839,152,397,075,147,174,716,623,989,874,889,374,
748,267,501,502,720,740,248,550,643,876,918,207,618,586,917,006,496,206,541,
384,246,600,707,742,798,136,078,628,909,295,482,203,291,720,397,275,139,165,
307,535,210,359,244,042,857,353,129,802,943,539,849,099,886,436,026,506,359,
803,225,857,023,155,878,830,612,982,092,291,006,712,741,691,270,760,903,629,
746,578,969,309,849,636,409,915,268,509,497,612,312,914,011,903,087,146,855,
949,789,600,116,128,544,796,494,051,898,503,847,660,427,785,944,009,853,127,
017,298,095,963,102,176,370,872,307,229,022,451,621,528,665,868,302,259,354,
020,373,351,839,536,058,078,206,472,867,452,364,794,334,880,506,860,220,614,
985,953,637,975,102,661,607,903,117,541,501,307,344,946,261,387,771,072,912,
306,293,144,718,019,529,395,466,665,292,498,966,272,437,935,088,367,411,113,
102,092,807,466,627,814,997,507,143,703,856,839,072,170,258,854,774,822,287,
532,629,603,866,476,486,226,252,069,204,415,670,355,997,821,646,874,788,464,
039,150,414,578,977,419,874,715,962,112,286,636,988,876,792,120,121,602,745,
819,636,701,561,289,467,021,726,676,236,306,730,799,652,934,805,707,362,218,
001,143,127,328,094,288,060,528,231,340,469,865,671,336,869,058,970,590,061,
756,934,257,888,554,754,174,861,573,401,432,080,773,796,669,971,496,740,146,
621,862,953,477,439,362,881,784,239,873,540,480,924,315,590,917,322,810,206,
876,631,252,862,854,835,220,529,685,399,351,409,452,400,791,173,041,028,408,
715,120,245,580,175,943,097,428,356,059,841,857,553,004,442,465,043,385,172,
354,399,863,528,998,427,946,022,977,366,264,280,423,127,172,827,396,356,217,
684,520,616,812,330,602,579,580,451,910,690,362,587,707,387,636,070,797,270,
575,455,990,539,300,544,138,682,609,363,422,067,519,072,042,467,147,203,940,
650,630,788,707,417,532,440,587,185,522,547,588,567,907,739,084,526,693,242,
303,617,733,036,146,811,533,720,199,065,448,636,649,040,119,706,355,189,046,
315,508,356,482,375,504,695,197,511,719,609,297,064,233,140,695,779,138,781,
672,489,122,570,367,294,949,307,851,739,828,567,766,211,498,792,061,724,437,
135,997,500,176,666,448,089,520,701,506,741,085,559,406,495,446,890,074,683,
194,835,734,987,719,845,950,505,963,340,755,219,399,746,873,954,761,554,821,
079,906,108,619,892,418,364,013,139,872,693,336,980,961,194,427,126,055,428,
200,131,979,542,319,368,493,336,846,796,952,634,649,830,835,326,540,422,720,
173,717,694,558,334,568,732,790,968,988,546,638,507,473,250,532,033,848,692,
608,519,112,531,487,317,797,061,503,436,783,934,187,361,419,065,790,715,822,
124,112,383,366,734,194,055,951,928,132,691,538,960,554,499,029,593,891,211,
580,588,823,786,393,846,429,477,821,546,761,732,444,936,513,917,664,675,297,
521,807,798,798,185,672,815,980,744,226,690,360,872,789,927,074,209,122,658,
008,403,590,524,751,784,440,292,652,799,888,830,983,013,479,023,896,175,385,
794,791,384,769,037,482,467,210,000,486,286,111,272,945,574,920,918,625,444,
609,453,586,592,975,802,856,786,684,866,799,412,786,564,750,827,955,849,201,
585,653,755,359,016,520,955,047,668,421,430,819,104,124,900,481,975,916,199,
930,436,819,247,157,034,581,764,060,284,732,201,534,289,860,119,059,678,820,
470,495,833,126,371,107,058,578,906,189,727,672,608,924,570,296,134,389,319,
043,404,919,779,999,903,276,629,439,660,793,260,227,029,944,068,179,959,728,
897,821,986,495,142,993,934,586,894,474,584,591,096,696,567,435,246,223,955,
662,049,210,893,628,930,282,266,827,413,594,551,007,435,955,014,193,423,811,
769,703,872,125,173,415,030,946,698,704,979,579,867,790,861,632,775,385,178,
627,777,264,492,475,584,956,142,885,786,796,168,659,950,894,624,063,000,520,
906,152,042,705,958,392,810,999,823,690,707,000,313,566,108,372,838,500,396,
821,263,405,015,433,523,215,845,117,210,927,223,169,147,083,942,778,284,164,
886,851,675,352,948,093,228,702,832,239,715,083,700,045,414,706,034,189,007,
153,678,844,073,958,413,585,178,758,884,977,860,569,293,248,381,084,316,890,
776,821,705,533,619,934,111,849,138,291,824,455,943,904,035,961,152,709,920,
816,593,150,528,746,137,108,543,269,211,466,940,824,018,105,366,164,253,679,
545,042,364,535,846,408,431,672,648,600,858,485,381,878,507,434,298,536,539,
852,545,065,323,160,589,264,150,607,944,440,466,486,927,021,249,513,092,554,
174,466,249,883,804,504,955,267,431,814,376,494,806,358,995,537,617,301,080,
456,010,027,518,718,599,467,193,338,319,658,109,409,686,073,660,922,375,445,
344,186,145,605,468,054,187,179,174,881,388,418,321,342,304,211,849,909,503,
135,898,002,294,254,638,570,586,456,713,865,557,514,333,544,679,600,136,951,
534,270,077,439,448,625,969,843,069,862,688,463,620,878,909,836,569,253,627,
012,548,815,692,461,483,290,779,128,731,365,199,895,821,408,110,243,260,362,
057,279,152,356,452,935,135,448,876,677,876,426,660,913,397,979,265,963,578,
029,000,119,158,944,390,038,450,756,581,651,036,224,588,280,647,075,656,447,
074,310,919,476,450,622,831,334,777,907,615,139,155,328,962,779,143,086,197,
105,674,475,201,024,446,773,619,543,753,908,803,080,097,761,346,450,509,303,
689,993,060,512,101,107,241,099,635,434,130,557,921,714,275,895,011,938,601,
082,592,177,158,307,990,093,282,333,588,322,439,339,388,266,239,410,230,175,
616,384,711,068,498,326,404,767,203,826,100,526,503,112,989,272,444,201,787,
198,324,187,488,647,635,354,640,531,631,475,776,685,414,637,495,012,067,363,
554,525,732,662,858,495,689,914,945,381,757,065,659,563,313,336,267,247,314,
769,761,491,918,393,791,415,817,768,303,204,839,935,168,873,098,646,309,840,
710,441,206,017,640,580,369,310,405,748,452,216,499,749,611,560,951,608,684,
125,538,775,005,257,711,675,274,629,450,485,432,336,393,146,586,922,063,598,
636,263,621,867,912,680,763,601,411,341,675,775,384,501,558,372,513,073,965,
491,913,358,445,546,873,763,818,425,845,653,967,422,368,751,957,062,817,330,
613,127,950,509,296,030,623,119,365,069,782,996,707,429,311,633,469,324,833,
225,260,524,891,825,143,356,810,532,696,771,305,425,383,336,500,578,989,977,
295,622,558,698,264,322,088,862,495,474,620,751,036,614,284,891,924,004,122,
236,509,012,543,230,273,973,786,770,395,920,350,456,742,592,061,022,471,920,
446,931,670,686,007,103,170,216,536,981,576,073,425,428,095,059,296,981,545,
967,068,933,230,647,043,450,500,238,851,385,963,823,480,529,707,516,362,533,
420,912,344,775,683,242,915,268,686,648,454,812,650,004,893,117,478,164,539,
298,473,790,056,158,758,917,156,763,945,580,105,700,289,838,500,483,559,114,
420,617,699,524,791,631,091,579,645,290,978,566,535,799,454,275,453,173,428,
707,693,884,604,707,255,862,864,537,851,097,227,086,917,813,411,045,367,160,
064,643,446,161,640,360,253,309,766,615,281,557,727,059,253,570,590,237,445,
797,958,652,560,285,179,724,458,602,890,427,488,875,044,087,561,125,408,642,
862,231,582,054,750,245,118,138,658,730,358,671,694,474,915,027,242,653,497,
966,129,181,777,227,563,053,568,375,930,221,748,351,429,935,340,605,469,064,
139,553,205,052,699,242,716,535,527,916,515,197,843,721,363,315,250,812,924,
212,446,277,343,706,906,798,961,392,770,628,735,120,052,824,873,911,023,270,
193,936,960,373,470,080,661,823,583,920,655,074,210,438,435,353,626,222,621,
491,511,352,221,425,020,109,269,504,539,829,094,345,567,023,183,748,882,537,
046,818,166,425,809,000,100,464,421,883,425,692,930,010,368,313,782,416,047,
745,698,733,195,874,574,013,212,984,690,421,563,247,496,826,602,075,595,612,
333,977,405,528,809,356,666,966,226,756,349,662,282,101,026,570,878,263,663,
890,777,980,530,398,526,306,786,943,427,159,986,446,614,163,011,390,537,298,
518,077,057,886,799,696,976,551,423,120,744,408,201,220,583,733,998,518,020,
949,671,149,722,576,035,574,010,326,159,737,433,690,325,896,853,340,472,776,
916,627,040,804,056,063,313,333,329,681,951,174,369,007,581,342,969,424,693,
355,022,702,880,023,140,995,337,903,825,851,209,234,015,820,445,395,528,481,
415,382,039,712,148,493,691,576,947,921,497,779,515,139,689,403,140,480,944,
792,790,576,498,967,141,074,361,458,687,572,595,851,276,693,906,902,966,160,
835,662,149,993,951,661,385,279,873,559,277,253,686,408,502,872,582,633,537,
481,964,793,482,809,497,872,493,403,258,275,351,999,773,683,243,666,441,684,
645,792,058,289,498,640,253,865,419,281,017,636,211,809,351,969,472,717,468,
566,845,512,498,110,692,454,216,487,386,209,716,755,562,444,584,275,329,728,
418,317,693,999,535,227,361,121,195,928,288,885,644,546,966,935,101,469,568,
849,827,997,645,485,700,861,186,642,913,679,495,145,983,922,327,466,760,688,
193,268,365,223,995,595,970,248,241,279,125,439,394,540,286,198,556,384,832,
283,298,780,419,054,618,387,485,221,722,650,091,014,718,075,549,385,855,864,
665,033,231,342,525,371,804,527,352,772,227,130,787,781,120,562,229,843,426,
357,675,737,712,442,886,542,179,493,562,371,547,930,395,278,772,266,557,506,
216,808,614,701,022,525,275,792,416,931,450,336,583,097,818,355,480,419,049,
267,332,063,029,840,138,124,095,454,754,057,887,475,313,711,622,757,026,006,
004,394,891,534,983,008,207,815,972,809,378,192,220,764,445,560,875,955,775,
346,177,763,129,352,573,156,515,427,762,930,996,354,293,897,886,858,444,343,
201,015,024,090,835,100,086,854,838,165,192,416,519,322,183,107,200,615,741,
285,990,523,539,240,808,300,385,332,793,531,639,707,956,477,267,538,045,606,
029,770,309,688,326,543,769,838,015,482,126,721,251,491,966,129,373,395,455,
555,555,274,843,209,988,137,542,679,622,613,620,635,013,466,544,753,763,366,
970,907,536,407,138,739,061,504,675,160,819,706,204,567,377,988,528,276,768,
703,485,347,527,360,977,668,998,830,439,734,582,920,220,753,803,975,932,752,
027,452,566,333,676,341,672,600,151,092,448,375,274,093,143,300,091,321,707,
454,099,716,542,807,415,751,546,536,953,856,359,660,300,339,670,066,745,701,
590,450,931,621,397,345,948,560,397,461,217,128,539,237,661,026,278,082,868,
074,000,914,562,207,412,367,028,232,530,878,119,689,767,089,585,188,693,660,
670,294,738,598,612,322,643,870,610,418,331,908,312,435,425,886,947,713,100,
147,446,426,136,906,229,197,403,219,113,786,245,227,809,712,700,488,225,612,
649,556,505,064,932,182,405,997,188,384,636,302,049,802,721,066,225,626,136,
095,178,997,452,751,072,925,999,953,917,544,373,692,718,241,900,172,311,896,
095,088,532,044,157,987,741,900,850,860,591,670,427,792,185,595,643,963,608,
943,507,480,145,436,329,201,679,604,854,784,397,695,449,952,000,970,412,492,
086,177,609,429,088,977,895,005,644,623,260,903,370,562,378,863,829,079,530,
449,517,490,541,685,306,586,091,570,904,870,432,331,589,481,032,275,826,495,
919,994,406,740,175,588,304,548,663,684,001,855,741,997,027,426,564,358,763,
284,424,589,722,844,165,202,248,313,228,990,597,257,736,288,775,628,667,227,
590,489,923,431,114,339,381,350,586,793,046,721,988,609,327,987,345,111,695,
844,119,129,662,481,695,428,321,668,072,920,072,471,446,590,290,391,299,408,
182,719,894,713,506,274,067,116,301,429,545,300,607,910,139,935,192,511,403,
686,883,945,298,625,163,405,267,551,442,218,567,042,882,243,462,679,600,818,
437,815,569,340,198,036,498,179,812,715,784,262,826,175,001,671,391,503,815,
570,744,301,289,802,567,318,110,328,188,155,143,640,363,498,609,478,670,907,
564,509,386,946,677,234,987,661,875,403,636,838,913,627,967,743,549,922,758,
973,968,517,627,341,877,184,619,233,465,045,849,764,804,459,854,865,760,881,
868,207,491,870,060,014,965,564,110,302,027,238,908,777,211,038,321,460,426,
386,599,416,055,225,985,708,186,956,818,505,163,134,733,476,916,349,185,752,
196,389,913,265,302,064,604,377,616,994,143,070,623,976,120,449,768,271,508,
850,292,108,201,837,905,414,800,486,910,579,044,619,397,856,549,237,661,655,
507,230,135,568,490,109,709,312,672,598,878,305,817,648,084,332,730,434,748,
778,609,712,809,668,374,979,832,059,800,376,686,531,289,528,084,198,399,073,
216,344,906,880,628,638,432,204,252,670,706,664,168,459,527,018,362,420,458,
960,687,019,943,422,914,327,764,441,412,646,903,548,380,749,333,446,242,073,
281,774,168,197,179,341,378,168,250,687,679,435,920,449,280,242,415,239,376,
364,627,875,680,993,080,485,790,887,680,145,556,606,723,715,289,649,470,556,
263,925,057,908,837,518,040,268,445,611,348,089,767,260,857,172,715,105,955,
118,361,276,088,862,085,361,500,888,718,954,983,095,227,381,635,760,842,909,
708,598,853,850,217,830,486,172,958,448,535,872,085,810,759,368,787,693,692,
184,515,647,840,537,189,774,697,105,606,591,462,419,481,150,089,478,121,905,
055,250,091,617,107,734,567,673,279,525,775,613,758,214,458,985,899,298,232,
376,125,140,455,577,104,469,274,143,167,314,600,267,783,208,964,427,187,994,
990,009,557,311,251,760,773,377,282,343,895,807,616,161,098,544,369,900,292,
517,386,554,375,776,736,563,325,260,717,521,928,518,907,290,442,292,852,976,
439,305,573,811,159,482,906,923,363,922,694,274,115,850,826,874,846,414,723,
641,223,724,976,855,103,621,731,042,816,222,261,642,441,100,002,890,883,520,
600,625,821,888,766,424,575,063,174,464,976,469,890,497,661,500,972,807,813,
396,844,634,119,397,068,013,901,541,323,931,839,058,558,353,613,914,454,004,
823,174,281,703,499,880,309,899,625,156,528,047,143,114,426,874,452,344,691,
316,482,138,139,576,415,554,273,947,794,863,670,843,684,097,535,597,728,177,
135,849,484,493,861,618,388,092,693,657,553,955,829,296,071,374,267,637,200,
487,233,846,441,171,227,297,558,797,897,715,226,039,987,647,387,273,143,584,
241,740,486,265,806,809,798,562,782,157,198,425,441,019,659,713,517,866,860,
223,336,660,482,913,145,328,738,011,384,801,924,637,386,223,655,183,726,123,
875,826,395,329,841,334,983,460,813,855,791,811,292,210,399,363,930,241,952,
114,906,053,159,196,800,561,855,635,698,061,608,155,141,237,528,511,720,099,
632,528,078,070,171,983,629,144,493,632,987,816,442,234,018,724,755,843,096,
502,479,488,731,112,097,613,620,243,104,028,051,750,843,175,993,515,029,283,
144,416,062,195,678,892,730,187,333,810,398,922,335,545,136,220,555,604,037,
721,067,998,420,802,669,514,107,155,515,550,153,903,475,550,096,259,927,972,
451,669,358,494,681,320,407,517,391,733,356,944,935,214,580,912,169,481,228,
471,376,007,508,063,132,166,174,958,057,298,675,519,528,422,096,405,720,655,
076,355,141,741,204,404,616,515,202,711,517,709,934,722,131,309,013,475,824,
627,624,289,061,627,099,638,486,710,506,987,291,403,883,460,935,565,727,561,
189,147,579,670,177,732,392,116,900,102,768,609,247,070,861,858,992,781,151,
046,149,323,447,211,877,712,371,855,893,382,483,475,297,883,873,963,213,877,
156,451,321,705,387,102,590,713,873,369,698,234,447,878,998,262,317,960,830,
575,772,747,778,991,971,616,000,735,069,083,154,458,139,219,636,142,709,533,
182,462,517,939,294,337,129,517,342,209,822,470,680,233,468,934,454,641,745,
314,418,220,001,479,521,433,934,501,954,528,590,241,195,696,288,590,478,718,
492,685,837,474,472,033,856,236,205,412,306,884,360,058,263,970,057,496,105,
464,239,212,252,893,539,314,253,506,221,809,875,845,313,588,545,905,794,586,
497,391,374,643,052,784,296,994,126,846,013,385,177,299,525,036,974,474,256,
483,667,087,360,264,699,907,394,200,129,387,957,824,286,804,275,440,736,035,
788,861,603,374,124,475,793,726,894,587,911,397,977,309,715,896,646,448,252,
003,522,939,525,746,327,890,070,179,987,957,875,854,614,564,617,185,526,115,
785,802,697,246,686,153,495,726,334,793,840,262,550,490,050,810,346,304,523,
054,851,209,475,156,437,890,844,058,300,972,132,640,909,605,052,532,854,569,
714,288,293,596,018,400,889,617,957,157,039,719,482,993,176,534,733,057,282,
981,109,636,314,933,309,402,433,265,526,009,254,874,007,912,686,221,854,506,
230,355,791,453,306,676,931,355,733,883,549,190,477,046,392,556,411,129,345,
535,130,329,605,032,379,826,932,730,128,060,182,800,670,104,375,577,523,442,
663,120,845,814,901,112,445,853,343,122,528,737,443,088,256,993,436,094,737,
141,530,253,859,828,450,066,400,247,883,551,736,060,173,442,784,712,230,373,
907,350,527,207,955,596,912,514,803,865,604,555,211,858,756,096,687,590,405,
022,215,546,087,478,481,796,815,502,330,213,475,437,022,686,072,188,223,406,
369,305,085,186,504,857,678,515,574,121,386,196,127,018,338,567,433,804,547,
308,738,337,447,718,350,151,607,888,787,003,981,377,898,670,009,739,938,237,
368,165,665,092,843,657,871,696,042,072,326,415,740,364,095,658,525,936,828,
042,348,462,097,229,770,683,814,579,336,243,066,166,497,025,124,812,568,183,
715,928,683,368,031,923,818,491,322,922,338,342,106,287,038,884,666,138,623,
572,988,947,883,633,688,857,662,940,986,971,726,700,849,981,080,785,902,768,
409,104,504,756,268,831,493,994,254,620,949,215,561,972,496,812,966,308,914,
302,548,110,509,834,227,461,690,390,291,816,288,442,431,491,817,769,004,664,
448,432,126,448,145,384,069,652,765,834,985,640,863,849,579,121,264,612,230,
994,253,960,373,657,286,177,789,518,421,377,471,352,220,484,710,982,480,470,
376,040,249,439,164,464,466,555,043,326,639,323,269,637,408,696,488,257,064,
065,994,237,337,747,942,352,433,317,990,423,146,554,778,688,925,186,888,413,
942,204,065,679,762,005,241,382,509,663,455,495,229,813,676,854,357,900,830,
256,800,269,828,016,400,266,269,788,962,505,415,900,791,747,524,563,644,870,
363,132,742,066,688,616,937,778,536,792,861,795,204,984,619,604,908,316,727,
011,502,159,772,462,839,865,264,778,999,056,945,666,807,853,729,791,998,477,
709,141,943,121,077,847,090,989,243,427,725,418,540,227,811,738,362,411,184,
700,724,805,877,282,545,883,366,346,052,003,560,673,625,923,338,170,815,966,
525,675,968,513,077,176,485,872,590,151,713,895,242,458,882,421,916,784,225,
427,812,133,599,250,167,993,409,921,959,181,625,168,794,622,878,941,340,905,
503,264,595,214,269,258,109,645,782,541,551,346,921,097,536,270,869,559,475,
583,458,786,960,671,011,841,098,124,949,228,673,320,126,155,621,750,988,704,
031,836,003,293,204,794,630,638,296,749,741,914,948,110,088,672,082,000,156,
931,721,785,521,684,444,847,747,900,907,658,094,077,174,726,213,906,070,428,
697,587,929,712,687,392,382,429,432,876,080,949,869,073,318,912,562,484,800,
652,819,047,434,102,010,760,401,479,763,066,057,565,877,761,063,450,195,602,
812,987,077,461,707,914,952,387,432,780,654,763,224,071,828,058,255,616,407,
820,443,089,684,798,265,990,406,871,399,143,248,761,240,409,500,653,235,920,
722,542,791,076,376,842,061,124,386,852,309,416,046,224,600,956,970,061,270,
412,172,852,872,898,827,059,248,465,865,937,726,303,666,616,666,196,848,155,
727,202,616,163,132,787,967,285,629,931,159,074,062,902,730,632,438,605,536,
621,236,042,963,189,496,831,057,359,003,992,606,242,730,302,027,913,152,691,
295,144,470,433,214,787,144,087,217,038,603,484,380,298,702,005,797,607,785,
502,666,713,195,819,281,626,008,567,865,589,374,275,585,865,789,865,415,284,
495,871,201,538,349,619,409,518,762,994,560,218,208,367,208,575,127,033,683,
292,646,107,914,583,442,996,306,100,994,608,819,517,992,933,838,500,816,217,
261,545,683,806,031,780,247,241,052,889,816,437,300,459,039,538,497,628,994,
771,091,332,928,791,949,991,689,358,015,007,037,040,222,879,842,837,216,366,
727,571,585,909,401,329,154,767,794,299,155,629,745,666,150,913,167,780,815,
910,613,556,612,291,254,683,857,204,977,761,385,558,743,904,663,608,521,168,
876,146,863,629,455,704,704,814,257,062,445,485,239,859,448,775,516,618,575,
232,549,259,203,237,146,810,570,974,789,859,237,887,355,038,995,061,631,683,
889,903,773,091,125,424,020,968,337,498,179,965,813,216,488,581,998,626,948,
511,506,147,568,776,760,608,206,116,342,330,274,244,827,510,219,445,330,515,
132,132,913,670,639,010,768,256,450,736,686,101,616,921,185,673,670,261,652,
319,348,667,695,145,111,742,058,997,928,017,716,746,031,202,960,783,524,328,
174,713,605,367,907,675,273,888,658,210,969,769,198,305,483,001,508,889,057,
098,645,412,489,057,879,414,607,860,926,613,603,281,856,682,408,519,177,533,
842,437,818,515,508,571,213,482,867,368,922,551,565,684,820,431,868,742,588,
214,424,998,802,524,555,470,456,567,595,688,824,648,846,307,569,162,908,662,
161,095,605,512,840,857,543,934,221,554,108,318,428,795,830,375,656,992,906,
869,865,075,753,104,042,252,397,487,143,711,061,888,051,231,479,474,335,193,
547,659,601,274,092,509,392,520,045,182,291,910,961,484,801,146,561,612,049,
023,890,083,027,247,152,604,517,563,721,740,236,011,062,581,818,929,873,495,
061,045,871,781,210,773,289,242,553,335,192,134,746,252,337,442,275,546,275,
044,521,068,916,678,093,223,015,133,135,909,037,023,447,626,871,671,678,520,
766,435,459,062,925,235,907,048,741,195,281,618,143,047,764,842,419,863,810,
193,514,339,301,066,183,133,232,891,268,724,042,111,697,781,301,845,877,957,
975,719,728,655,637,033,105,235,222,732,316,905,374,614,004,411,680,472,365,
559,098,121,614,901,605,308,942,281,427,246,166,174,956,601,733,197,150,612,
193,722,289,650,405,671,440,600,781,234,885,467,225,775,792,672,914,979,791,
520,500,010,968,899,827,632,500,332,176,576,941,697,124,961,501,671,927,728,
021,679,025,582,059,582,029,504,318,538,689,354,372,725,256,106,840,863,292,
387,179,729,517,540,271,979,500,698,146,380,108,245,870,215,386,197,664,360,
037,838,195,842,780,511,309,249,745,714,580,730,039,029,582,120,969,505,214,
216,400,786,330,546,143,498,877,420,435,299,875,450,458,093,346,435,781,333,
773,981,891,301,457,111,155,268,067,277,027,823,605,441,815,107,058,889,030,
709,393,080,924,632,128,381,376,858,298,893,591,436,091,355,909,865,610,206,
989,521,485,150,718,020,506,226,739,945,873,010,291,455,759,033,466,053,771,
358,081,183,911,284,260,822,972,190,664,855,395,970,622,205,605,367,901,251,
688,373,823,517,323,032,165,080,688,718,216,798,483,233,683,790,039,682,865,
916,895,764,787,737,710,597,517,890,052,186,911,992,835,456,399,520,003,841,
323,772,306,608,950,332,190,248,385,893,060,224,101,126,611,255,604,645,047,
594,719,492,588,493,010,202,024,381,129,307,603,034,044,276,131,586,627,768,
731,508,238,325,328,836,000,835,454,979,320,387,846,840,916,817,838,786,241,
802,991,509,021,476,662,671,566,681,081,967,341,802,815,151,821,929,193,806,
956,637,684,909,991,015,128,182,995,016,950,810,784,996,517,107,006,623,098,
988,764,130,041,704,717,760,834,501,996,463,892,635,186,882,453,996,650,074,
450,689,242,556,772,397,734,278,975,224,460,220,677,014,794,929,037,660,999,
864,252,908,119,023,810,610,492,117,598,249,973,899,222,472,630,638,725,432,
272,822,258,878,180,527,231,518,734,202,081,341,721,121,165,840,653,434,850,
878,659,840,391,225,596,737,826,829,519,521,374,808,256,233,544,830,302,148,
773,025,228,200,033,554,185,029,038,252,352,815,400,976,961,242,004,390,074,
933,749,721,813,567,398,242,834,184,483,092,723,652,415,248,358,773,541,924,
965,755,790,185,072,180,651,499,496,191,749,359,670,731,517,609,413,695,517,
109,324,163,060,734,687,014,443,558,137,639,284,418,082,108,576,767,794,981,
445,515,677,517,595,820,006,893,885,132,431,025,221,547,660,238,484,224,741,
208,902,649,870,901,865,488,057,007,842,269,850,900,631,516,425,916,808,334,
167,461,503,498,320,378,907,934,351,764,479,117,707,567,740,376,629,048,502,
740,933,587,718,942,200,482,947,633,790,801,961,190,832,392,520,877,918,193,
155,938,128,560,572,009,036,618,429,479,256,839,621,891,917,788,939,716,671,
767,654,523,403,825,675,380,865,506,139,228,217,231,749,989,666,799,159,131,
795,035,307,996,357,183,295,041,526,023,389,698,790,936,101,079,868,328,261,
181,686,042,443,309,785,493,547,445,892,495,728,955,175,756,489,742,351,357,
242,410,025,786,188,241,907,266,232,714,744,585,122,555,443,685,299,629,965,
121,539,405,504,629,276,450,204,432,456,761,653,642,407,270,819,218,849,005,
379,788,765,708,564,527,649,242,012,395,149,486,858,183,377,267,772,680,116,
254,896,876,613,824,242,307,918,212,959,230,887,313,333,298,559,491,538,763,
258,263,062,831,210,900,265,620,860,943,473,732,976,228,115,141,573,192,345,
048,216,765,240,933,023,415,640,437,620,648,849,396,676,135,467,801,511,992,
257,587,038,168,389,080,882,043,036,144,104,498,420,990,421,069,558,793,557,
363,171,071,877,080,860,781,127,338,034,074,735,213,012,836,789,971,327,196,
313,718,484,739,296,384,826,330,583,736,506,618,550,443,939,362,855,294,630,
660,292,109,800,243,273,273,363,752,934,678,907,036,676,381,706,280,650,590,
338,068,538,605,318,625,703,529,645,994,098,211,702,248,269,118,110,165,696,
854,052,994,774,813,229,457,641,294,958,482,663,423,526,752,136,194,660,788,
473,213,947,265,594,344,173,433,865,627,953,278,525,052,423,501,663,343,326,
202,116,267,236,174,505,837,963,465,844,393,351,111,603,654,342,278,751,258,
548,798,598,092,411,966,741,479,190,988,460,274,024,469,469,509,615,091,895,
737,614,450,508,055,799,156,936,749,996,135,869,487,999,090,002,250,007,139,
642,653,512,413,866,193,553,957,692,362,483,038,958,738,593,966,990,409,995,
606,083,853,995,568,201,498,723,907,261,608,405,069,465,901,554,902,227,835,
831,683,606,300,044,790,488,054,275,595,809,073,903,768,753,722,588,317,167,
421,764,732,772,666,770,253,218,936,131,728,663,429,950,713,508,536,160,027,
733,907,959,599,213,971,820,615,672,969,559,319,191,644,808,323,020,769,036,
717,785,816,620,668,624,179,788,996,419,765,716,080,549,332,424,658,047,005,
448,535,744,756,971,670,024,502,287,107,512,527,526,890,830,267,415,675,846,
253,363,616,913,679,282,894,061,689,211,161,801,850,866,866,048,139,559,795,
474,579,071,590,562,171,316,608,664,073,586,976,199,106,346,032,253,419,831,
475,760,191,698,045,497,515,911,562,147,305,642,267,578,717,944,956,287,195,
884,090,507,372,483,079,189,157,637,889,838,361,009,624,618,954,530,572,459,
186,814,368,502,779,585,947,947,405,135,626,080,966,120,223,255,775,087,218,
254,803,421,936,817,117,717,493,154,612,643,425,730,621,194,088,201,560,986,
570,893,982,742,885,225,799,928,994,926,252,682,795,933,251,706,518,700,985,
871,750,354,944,869,869,125,048,184,714,022,208,446,308,820,871,816,501,029,
159,580,861,509,871,469,461,697,472,249,863,068,426,552,115,255,744,655,742,
161,406,962,085,368,563,742,014,797,941,542,028,927,181,269,720,876,933,915,
548,826,811,965,598,424,676,380,731,341,417,109,720,889,322,004,526,080,051,
436,964,287,894,236,098,075,918,175,947,477,970,750,779,639,534,233,452,521,
922,943,988,516,037,539,294,493,383,783,067,745,337,532,618,316,231,839,632,
974,866,690,206,121,275,814,646,532,978,874,581,596,795,287,416,679,852,283,
649,067,954,701,906,166,150,488,330,494,001,637,438,117,508,718,697,359,888,
150,813,663,879,206,460,655,844,623,797,867,901,769,572,777,216,853,067,340,
767,870,255,305,912,654,583,920,144,400,891,836,377,291,956,235,153,499,207,
672,358,287,959,122,444,080,611,762,583,798,851,186,190,796,416,374,672,474,
701,796,557,377,843,897,595,472,499,430,082,420,269,518,169,441,731,152,818,
978,724,539,990,218,851,142,109,089,741,031,195,445,408,889,098,137,218,207,
467,463,865,268,664,632,379,426,548,999,822,214,254,676,325,490,820,831,969,
135,978,375,371,032,670,657,771,045,791,693,154,081,205,198,323,205,790,680,
090,186,145,491,838,451,521,889,405,123,327,896,959,952,006,705,798,136,243,
657,493,197,397,999,722,807,314,197,859,465,383,039,354,843,689,583,817,209,
932,945,428,594,110,001,032,465,244,413,585,975,312,232,434,054,343,845,404,
183,124,613,964,501,964,614,068,413,228,013,084,408,519,287,240,587,377,872,
699,160,744,791,743,600,907,236,114,498,735,104,335,798,594,783,580,281,948,
146,243,890,044,181,614,896,366,930,861,533,166,898,936,777,260,937,954,124,
525,743,485,693,372,935,224,097,791,411,340,663,747,614,106,392,468,001,978,
160,741,672,747,610,302,064,532,790,311,032,825,305,405,326,104,665,002,134,
105,955,672,294,397,487,404,993,418,157,616,875,534,516,074,390,438,229,666,
469,982,930,590,091,060,201,494,465,290,260,364,262,408,615,501,119,269,236,
984,679,275,230,759,087,414,891,635,668,080,461,208,471,856,174,615,545,265,
119,455,393,486,618,581,845,819,183,105,990,037,651,176,559,068,552,535,480,
599,840,540,005,914,919,179,161,015,338,558,360,933,067,580,866,406,286,545,
634,996,848,766,151,314,112,263,564,658,210,355,404,310,084,435,426,722,874,
944,610,519,835,729,940,826,734,622,815,358,756,698,746,064,642,630,830,563,
407,718,193,288,874,913,781,865,144,596,978,272,721,853,805,793,610,646,232,
296,941,640,885,547,803,959,696,117,630,952,400,270,015,150,649,471,738,957,
330,736,158,289,992,479,162,283,195,007,130,829,277,642,140,452,658,871,913,
355,077,936,837,633,564,529,038,072,700,292,003,626,540,233,254,561,952,878,
435,142,330,146,038,898,804,753,121,697,399,140,520,156,241,036,861,012,520,
248,021,691,314,091,572,870,673,348,303,037,606,482,447,380,265,948,033,858,
010,351,166,754,108,002,439,391,599,031,595,830,836,514,619,302,735,285,853,
427,693,663,100,167,806,318,421,875,968,590,326,964,819,043,190,678,848,795,
021,793,481,221,552,073,992,428,536,031,101,131,054,079,149,735,929,977,784,
412,969,468,394,584,287,937,962,287,279,188,948,990,452,878,057,794,090,302,
610,203,172,993,829,071,852,308,695,643,703,440,245,419,424,041,564,831,771,
152,729,485,257,520,824,029,371,709,476,361,889,213,473,115,150,438,104,108,
784,990,103,110,134,970,532,913,241,035,969,242,690,083,049,647,912,540,411,
558,718,304,185,169,771,206,592,430,288,562,699,261,350,242,391,374,562,639,
760,343,351,122,750,174,702,687,506,342,115,492,105,917,453,370,022,001,563,
753,072,441,654,628,757,690,442,791,965,353,821,422,160,682,263,112,048,515,
270,552,822,928,773,212,234,442,430,139,221,593,232,656,653,721,672,575,352,
858,878,481,282,081,744,775,736,030,515,521,844,880,718,281,209,265,810,938,
515,338,881,408,616,366,665,054,295,233,748,549,196,493,483,768,012,024,351,
818,080,972,916,074,314,798,657,361,729,524,767,353,524,968,098,768,751,117,
016,281,257,410,642,722,380,980,056,639,197,408,297,632,159,528,075,653,926,
495,237,021,988,682,312,580,824,164,273,728,120,591,745,045,043,576,111,635,
581,353,901,322,878,418,867,592,404,256,130,464,678,331,405,094,245,128,039,
855,562,187,148,335,234,745,146,286,822,941,105,132,809,756,923,902,237,480,
526,539,526,625,633,590,441,213,376,387,037,055,852,829,494,512,349,146,309,
625,426,345,923,210,843,050,843,150,284,352,834,463,003,001,813,098,536,236,
885,119,287,658,479,428,185,605,891,804,562,605,352,454,105,967,020,794,140,
147,975,347,254,524,604,150,797,256,510,855,682,619,641,892,231,206,863,570,
967,443,482,476,932,021,068,441,259,206,887,477,837,291,400,335,496,064,365,
670,940,365,321,775,085,397,422,361,129,729,687,949,676,685,324,603,324,020,
867,388,775,344,675,185,659,508,631,035,840,266,760,706,131,857,564,741,956,
080,560,099,469,567,273,305,519,247,670,101,249,783,472,577,605,012,976,354,
377,889,066,117,032,143,201,326,043,729,973,518,690,011,538,907,850,880,350,
925,643,928,445,758,959,395,779,589,323,339,247,754,493,111,560,309,089,722,
480,758,540,142,474,146,765,871,339,611,412,995,587,408,486,399,830,937,316,
201,362,757,648,941,014,002,848,979,844,566,020,877,361,596,171,919,048,287,
324,716,086,564,854,696,171,635,940,328,796,452,906,826,255,664,860,950,940,
979,062,830,726,337,246,243,018,278,024,607,629,115,174,892,983,347,287,418,
173,471,293,576,331,024,565,023,720,279,939,449,839,409,438,553,402,356,535,
765,377,189,939,140,234,741,523,443,178,813,079,283,439,490,742,102,084,049,
381,138,162,942,860,177,319,468,824,813,516,671,919,918,117,561,568,620,585,
766,342,495,657,865,789,578,248,071,861,839,256,711,321,487,597,580,376,791,
558,971,225,876,842,806,622,673,975,630,727,702,588,259,906,825,800,455,937,
174,179,143,929,183,193,263,391,561,010,375,116,462,614,356,999,327,475,158,
966,811,459,083,779,427,212,582,310,594,975,879,751,699,346,117,978,998,604,
630,038,300,109,375,570,399,631,724,484,658,325,639,327,613,077,034,312,836,
243,904,743,364,028,999,940,808,094,423,999,506,799,161,747,555,343,934,654,
801,491,163,093,695,945,945,312,459,732,279,298,246,071,548,482,068,540,678,
181,022,114,038,910,894,158,461,449,053,206,609,387,514,865,565,748,085,923,
156,606,118,554,879,145,471,599,707,285,926,537,090,504,642,650,266,164,431,
461,003,924,171,039,699,866,900,919,602,951,217,211,383,224,558,478,240,539,
516,137,485,852,072,220,588,973,844,249,152,477,377,709,996,163,131,882,442,
720,679,304,020,724,268,039,466,134,037,323,064,609,329,604,640,982,475,608,
933,904,748,700,969,534,512,553,623,527,818,984,073,657,014,545,568,637,904,
394,641,018,885,021,536,803,437,401,687,890,808,299,783,355,579,465,279,587,
017,887,503,770,554,863,806,578,916,646,150,440,598,697,460,081,187,313,389,
658,520,408,799,604,727,067,539,777,334,615,289,986,746,945,699,298,315,267,
004,065,123,201,615,971,780,753,499,146,267,614,211,639,081,613,358,923,484,
173,464,371,104,390,502,088,603,936,090,463,318,459,319,682,416,173,587,459,
959,482,845,744,955,634,101,930,525,895,013,209,839,408,776,408,557,268,286,
506,466,369,273,434,432,965,741,035,455,498,011,947,356,174,208,710,158,323,
746,187,642,496,006,163,497,660,887,162,381,127,953,566,782,535,201,406,895,
337,706,539,212,475,818,597,150,349,391,451,366,962,295,882,757,954,686,698,
565,717,842,356,039,652,359,828,609,089,984,228,293,577,804,879,511,255,486,
925,910,006,485,977,663,968,255,872,240,715,768,739,550,126,544,214,130,729,
284,233,604,192,172,556,092,765,671,756,299,142,484,807,977,710,178,934,206,
612,389,960,422,394,151,242,466,196,840,455,164,399,181,736,993,226,983,976,
683,267,436,448,369,502,715,803,601,131,970,326,691,853,219,227,844,926,520,
487,702,024,250,264,233,788,755,461,876,985,134,046,294,219,766,283,730,189,
630,036,122,962,186,167,195,924,685,087,679,338,209,434,997,290,857,288,548,
365,146,232,294,712,057,271,573,700,906,140,294,046,335,937,243,642,784,639,
940,722,868,780,937,236,737,685,457,619,686,717,568,404,043,655,800,769,818,
431,525,754,262,408,776,340,039,624,266,957,053,781,659,067,877,976,870,260,
454,082,110,256,399,098,390,662,409,687,123,205,629,029,119,802,248,735,684,
785,641,244,006,035,521,533,287,871,656,237,324,893,610,271,905,100,516,252,
409,589,162,820,426,402,226,432,696,945,604,208,883,446,809,644,205,662,750,
942,419,984,580,456,398,556,804,856,236,153,274,565,545,849,699,275,093,391,
051,205,582,213,815,273,464,490,188,267,493,021,031,893,900,309,567,004,727,
798,372,100,818,220,136,804,671,832,589,384,443,982,178,636,942,330,587,016,
315,638,802,792,121,487,535,563,575,604,495,997,014,659,648,235,668,462,032,
002,508,153,124,282,871,246,383,541,035,350,548,351,793,700,602,058,283,997,
592,210,175,973,671,358,474,572,966,255,170,483,640,509,766,774,961,591,484,
492,568,677,300,348,567,488,636,818,757,647,606,779,437,280,030,632,861,417,
092,736,846,245,031,972,043,032,279,126,257,329,577,866,115,096,177,618,005,
532,516,468,981,495,362,447,675,058,960,165,978,889,120,601,527,809,890,854,
464,347,723,566,924,945,430,584,367,163,319,826,783,609,393,287,781,874,433,
829,764,330,423,486,742,251,419,392,895,513,018,502,233,038,926,773,477,197,
265,359,720,888,605,852,117,737,730,630,665,779,049,438,120,406,591,065,944,
666,153,480,352,505,605,609,852,792,439,745,990,801,046,913,702,173,897,137,
161,426,653,190,289,969,401,275,600,559,751,962,990,251,058,149,281,275,526,
877,183,936,676,512,692,370,827,003,965,617,759,845,199,900,239,702,851,411,
711,982,572,952,738,815,155,525,161,110,736,049,385,455,971,746,029,308,696,
705,181,999,817,022,059,203,989,912,775,292,798,083,875,310,327,351,184,101,
217,720,862,487,691,873,041,645,911,224,359,381,547,875,507,269,756,098,752,
639,343,535,807,614,812,483,987,610,948,699,691,710,199,376,936,077,434,039,
182,882,283,380,813,202,258,875,050,304,472,634,860,268,033,853,342,315,391,
944,354,741,426,355,151,911,530,281,361,155,730,488,102,203,316,433,044,742,
273,365,590,205,828,187,468,596,382,558,794,809,358,668,113,376,139,190,272,
544,081,026,874,033,419,126,521,455,384,838,046,796,926,958,923,844,104,191,
660,705,184,190,203,423,216,573,201,461,334,004,853,668,194,955,209,859,993,
016,498,837,950,879,161,784,324,852,871,102,837,045,149,489,404,370,829,371,
126,559,832,964,322,405,226,202,184,586,051,350,683,284,274,203,937,659,321,
971,945,914,451,751,733,544,144,451,464,974,360,765,346,559,430,490,714,500,
530,788,276,236,700,654,739,879,740,059,442,893,627,810,292,086,929,690,576,
496,218,483,050,567,089,696,773,997,804,823,473,307,311,322,475,602,445,011,
710,652,705,491,804,064,268,439,252,465,351,643,086,802,048,760,600,595,092,
631,705,388,384,050,402,739,387,317,034,283,989,695,204,124,663,327,378,311,
041,692,894,041,675,859,552,998,927,018,078,148,562,800,804,686,095,936,132,
875,459,932,444,264,037,000,109,917,859,197,995,039,608,935,505,783,991,863,
921,559,059,610,529,382,353,796,300,457,764,606,758,080,232,510,012,656,610,
586,853,497,077,941,790,625,201,880,925,563,013,145,763,673,417,775,495,062,
074,745,934,223,674,988,375,740,811,340,519,754,411,977,019,502,547,890,080,
309,159,199,146,082,269,833,740,770,097,106,882,559,670,340,731,238,433,014,
438,799,044,281,424,735,758,638,602,882,369,268,163,191,608,573,812,769,018,
792,766,452,673,622,058,325,397,942,223,456,192,143,403,222,113,463,325,526,
013,253,176,684,889,000,731,422,365,250,332,270,338,641,037,571,329,676,524,
916,135,017,340,216,416,170,285,713,209,120,777,350,915,778,917,616,646,273,
754,843,475,978,021,536,884,045,455,777,854,655,472,934,971,418,971,489,112,
331,558,202,257,699,980,983,559,827,372,002,017,516,263,872,477,160,853,549,
791,646,190,083,285,142,695,289,857,086,884,287,677,181,237,126,821,153,894,
187,976,356,615,669,873,535,844,812,399,070,233,528,768,619,192,739,109,396,
443,766,907,999,999,917,278,704,488,650,372,602,588,115,935,159,357,530,872,
599,358,865,620,675,101,137,693,662,488,475,593,427,554,518,670,981,760,855,
183,670,744,696,731,197,604,663,870,056,255,441,704,942,526,730,606,831,013,
015,195,104,027,623,135,924,357,201,608,540,934,836,069,851,338,471,119,123,
198,844,431,660,747,411,775,303,009,316,310,301,522,130,939,423,372,789,424,
379,812,454,129,933,864,466,560,273,604,529,728,269,921,339,394,212,803,751,
716,089,354,820,408,875,155,311,195,129,249,468,068,024,932,622,215,071,452,
667,382,438,394,173,204,217,690,416,859,956,515,231,594,345,903,502,806,018,
153,206,358,658,252,141,925,568,159,952,707,476,994,613,718,677,094,624,275,
335,714,171,851,077,251,956,520,481,229,811,728,915,351,016,607,904,794,542,
479,244,491,841,098,550,398,899,722,639,348,482,317,046,955,012,658,127,376,
471,891,692,870,414,918,536,477,379,350,516,942,243,105,584,777,624,877,758,
928,830,062,094,459,865,187,013,825,722,581,764,333,216,935,454,123,982,961,
152,073,605,830,498,956,069,024,892,337,214,584,910,682,778,797,732,515,272,
717,290,717,225,503,598,482,768,212,790,527,933,985,670,081,337,553,447,603,
402,370,896,467,646,016,069,260,205,080,324,595,410,675,709,856,600,739,559,
095,967,029,686,850,587,656,477,078,244,297,691,924,912,609,044,405,124,766,
952,386,404,639,093,425,439,597,007,197,213,065,038,989,759,389,272,584,185,
725,811,576,365,265,444,870,305,409,898,966,811,933,983,796,509,459,915,996,
277,212,564,046,839,766,672,798,283,578,096,166,751,593,337,087,102,819,590,
515,625,611,501,321,332,411,399,075,451,321,835,602,676,083,343,705,101,795,
934,732,524,872,370,939,775,953,631,494,806,657,596,713,828,438,305,290,951,
888,826,341,527,101,093,719,790,400,282,821,040,412,520,044,549,077,535,308,
323,881,610,846,747,168,983,794,480,832,015,698,636,039,709,593,194,936,194,
956,669,112,863,708,684,734,489,351,170,929,713,642,749,543,262,487,237,808,
888,736,174,796,618,598,910,963,462,299,895,286,644,169,294,781,921,244,875,
976,225,905,974,019,311,631,806,373,781,318,726,264,932,656,047,565,994,693,
298,744,515,750,653,271,575,538,724,285,846,114,877,011,426,604,276,441,090,
591,679,691,479,026,258,975,980,647,982,987,976,238,437,533,247,137,042,843,
141,598,853,945,544,700,714,516,889,966,178,852,713,685,892,431,336,410,066,
671,274,121,544,075,596,932,450,782,788,246,576,042,560,105,599,602,963,915,
705,185,563,226,229,417,636,117,337,270,308,818,389,780,127,380,214,247,624,
885,182,605,769,775,612,079,106,477,740,635,320,358,170,314,488,290,313,609,
019,698,779,003,566,444,943,535,536,538,776,525,791,814,926,329,259,218,820,
478,558,985,529,959,260,363,332,758,014,687,064,855,152,193,854,913,228,215,
633,039,526,307,233,434,865,490,805,753,340,148,402,983,392,831,682,832,786,
606,925,809,888,482,731,443,338,573,589,477,346,303,513,060,568,559,871,983,
723,540,114,630,441,626,291,664,545,429,458,072,420,205,734,043,776,307,140,
000,693,270,883,072,161,164,434,778,384,788,959,791,647,251,756,045,765,563,
127,413,584,980,111,758,072,074,547,923,588,824,892,263,535,283,876,570,443,
771,616,877,332,868,635,452,372,574,118,561,979,911,079,573,443,945,671,931,
108,775,333,131,941,991,469,646,157,243,338,699,156,680,606,543,528,970,023,
605,641,438,912,936,965,140,660,568,066,639,276,581,422,509,289,775,123,157,
909,003,005,977,187,051,582,797,359,580,799,747,993,329,745,828,241,571,082,
863,796,313,482,424,433,727,798,821,984,669,341,248,899,312,399,243,919,447,
441,282,413,971,454,506,734,337,295,777,118,387,826,291,234,423,557,153,896,
554,904,794,729,121,961,747,482,091,207,139,239,205,717,870,377,226,133,563,
558,436,761,482,725,009,947,613,251,909,725,886,196,052,849,786,327,438,234,
515,383,901,317,758,961,263,697,015,422,089,891,522,640,635,789,512,452,810,
286,547,334,371,136,875,968,092,704,677,638,448,683,208,221,622,109,007,837,
307,653,331,978,872,192,186,606,790,533,974,677,123,393,267,008,197,228,965,
643,128,126,401,870,903,334,518,403,795,656,187,461,119,468,118,734,305,877,
961,927,840,448,806,433,586,759,396,568,027,232,071,038,810,811,514,674,936,
012,622,061,052,850,626,809,750,803,642,516,686,936,296,564,169,231,453,286,
307,064,801,897,898,868,652,021,190,621,366,980,858,636,556,587,563,117,561,
703,731,206,770,959,940,313,383,454,549,236,645,733,533,786,117,308,792,377,
588,452,101,511,054,313,075,986,991,931,570,426,001,756,584,739,674,001,770,
326,695,172,571,371,246,552,748,001,501,865,781,334,501,671,733,437,425,402,
895,648,853,678,848,007,823,601,014,309,751,710,458,811,638,448,046,565,336,
370,670,295,032,468,890,488,048,409,466,395,433,318,781,922,226,605,688,813,
824,216,485,331,747,356,529,070,094,566,459,000,847,385,506,484,458,750,380,
092,670,383,593,225,455,742,415,562,522,419,919,564,832,390,987,356,834,438,
167,939,704,133,801,400,129,038,692,650,289,428,607,735,965,977,800,092,364,
392,820,311,888,317,033,399,178,469,736,482,932,877,331,122,583,710,511,743,
940,679,521,142,579,411,533,623,680,618,161,272,785,179,799,525,254,669,251,
929,318,754,457,229,096,299,608,279,350,960,481,395,120,085,199,937,982,372,
581,815,971,959,605,772,046,987,923,695,324,855,478,266,461,923,328,117,026,
877,956,577,948,245,227,610,111,255,529,223,235,774,587,857,233,778,851,741,
548,327,194,148,575,297,523,801,670,391,262,818,617,496,380,202,385,388,980,
420,668,951,207,665,268,533,330,092,095,435,899,479,968,111,269,876,433,017,
242,523,248,277,519,652,113,497,827,598,250,175,691,178,747,636,435,839,709,
636,588,226,929,099,920,011,590,727,431,049,866,206,923,554,349,368,920,385,
834,658,674,649,012,269,374,713,759,266,406,664,929,712,206,798,582,439,005,
252,790,249,142,837,386,233,671,930,194,335,282,226,318,509,759,410,564,036,
414,375,999,010,499,660,269,157,578,918,222,440,198,225,648,647,082,173,437,
598,373,254,124,426,988,021,926,163,671,620,751,381,139,955,338,708,224,626,
484,290,165,950,759,985,627,457,233,750,515,546,575,432,998,724,609,842,799,
165,012,842,165,083,777,665,940,406,276,258,755,901,610,272,196,875,379,708,
573,381,280,426,762,799,253,576,552,448,252,323,023,437,788,792,136,590,333,
388,471,688,514,631,457,343,484,239,650,404,813,981,621,010,791,910,209,015,
615,366,267,527,262,708,668,691,448,415,856,541,544,869,281,123,166,989,767,
793,171,671,869,595,259,134,112,527,693,971,148,623,619,636,484,117,019,062,
411,150,919,415,504,722,949,027,573,238,454,145,195,780,560,001,917,716,221,
030,563,234,343,514,603,561,005,956,922,724,798,519,486,503,291,784,430,448,
468,071,826,187,527,711,677,866,866,686,711,870,634,845,255,365,154,213,557,
878,586,060,574,395,255,927,573,224,301,349,157,211,843,536,900,233,706,879,
388,031,001,376,782,050,228,841,717,648,445,394,628,165,947,920,355,177,973,
317,289,616,257,272,273,159,801,955,097,386,433,698,612,036,073,592,938,601,
098,229,727,953,048,773,324,320,662,098,002,278,611,503,332,065,985,677,822,
411,241,457,867,776,134,146,180,925,055,789,782,983,434,071,335,177,650,410,
446,413,769,299,208,796,215,325,926,270,218,412,731,949,740,068,851,564,397,
970,312,984,696,534,218,142,166,292,257,727,082,923,682,390,788,870,525,744,
843,913,158,486,723,312,211,379,602,896,989,044,312,348,129,681,934,233,061,
073,419,792,036,845,989,081,550,693,493,163,965,310,852,324,950,042,967,191,
460,474,916,781,186,557,230,476,658,729,577,160,973,471,181,180,033,292,225,
110,859,395,108,454,865,483,899,628,200,421,370,275,532,654,962,877,138,096,
118,951,234,923,207,303,517,665,067,861,186,638,387,764,356,489,803,168,569,
729,471,145,445,162,663,581,517,424,974,137,929,854,223,010,393,340,398,146,
591,174,078,880,649,286,455,341,202,483,978,529,358,107,311,414,157,701,119,
286,859,686,430,710,317,500,521,614,961,529,988,264,327,529,464,281,905,697,
984,578,296,450,076,022,627,316,267,060,111,044,836,047,474,430,918,494,430,
981,276,593,343,361,310,028,061,729,035,035,805,719,015,721,159,093,593,155,
698,258,930,284,610,453,090,275,280,736,716,358,328,635,904,609,715,227,110,
718,481,087,187,812,606,191,145,649,476,381,852,949,247,850,220,294,077,311,
553,123,836,982,263,095,857,610,779,388,603,264,376,971,680,075,180,400,662,
526,996,803,198,190,829,443,317,822,842,381,862,919,066,102,317,632,026,041,
069,015,459,735,465,358,787,150,423,248,800,776,876,841,567,250,509,168,648,
016,172,488,402,132,070,881,665,473,911,092,903,304,212,012,160,400,023,875,
609,022,742,796,268,386,772,178,840,794,743,129,454,629,083,962,584,080,330,
530,893,627,667,097,985,101,088,325,826,968,866,918,106,959,580,988,506,705,
910,528,265,605,093,803,585,945,008,855,993,683,760,084,235,572,515,713,317,
694,854,215,335,502,281,354,769,056,978,750,574,259,100,654,417,608,635,638,
304,239,222,767,722,043,167,658,057,949,520,786,272,483,450,517,857,415,680,
656,746,256,817,291,276,814,455,448,306,843,582,600,946,943,426,182,778,214,
531,622,235,713,766,804,605,672,256,728,067,112,976,385,873,258,189,136,648,
763,170,469,910,577,719,687,322,930,151,867,664,855,338,063,799,730,187,985,
519,868,882,340,824,670,187,907,900,978,179,420,462,326,266,034,592,934,238,
853,725,133,582,022,807,525,759,596,371,171,278,861,556,280,062,946,188,512,
564,291,479,285,225,012,343,632,735,352,914,844,379,715,604,696,828,408,271,
336,964,669,865,398,541,719,296,158,167,681,214,703,386,510,757,287,577,634,
577,630,756,349,066,212,386,520,090,170,996,702,955,917,922,867,627,789,881,
080,801,427,675,248,644,125,911,216,912,817,106,066,552,247,362,631,350,824,
164,436,364,902,390,511,284,758,668,415,760,967,464,017,910,109,272,120,654,
155,332,335,140,240,898,831,424,109,678,641,272,695,674,807,808,252,488,859,
823,613,220,353,456,734,406,402,596,761,476,925,877,106,420,993,206,233,361,
650,097,474,185,699,558,244,880,288,685,161,138,641,741,896,647,880,403,934,
818,323,619,510,585,583,492,689,548,398,842,457,173,154,387,327,656,837,612,
004,441,171,372,570,841,951,567,029,057,524,645,521,001,615,530,288,324,774,
016,321,466,861,612,554,090,165,736,551,467,374,345,815,247,441,359,830,049,
013,249,944,663,692,700,385,850,611,471,282,502,363,194,066,466,045,224,700,
574,974,176,570,049,978,537,449,476,726,985,431,787,815,326,407,669,467,735,
148,421,379,688,124,322,490,245,413,958,435,446,804,174,878,324,811,877,328,
101,119,815,733,567,008,395,161,105,657,038,033,554,146,625,892,741,255,905,
312,094,001,078,565,510,742,249,441,679,875,990,453,107,083,928,775,641,333,
242,514,360,897,995,179,383,072,129,577,932,486,786,503,032,527,457,245,726,
380,347,211,431,141,843,918,480,844,903,946,974,514,186,228,880,261,012,153,
484,996,748,371,254,861,891,757,355,619,521,037,962,879,829,805,992,865,853,
519,277,519,553,357,264,276,989,987,258,027,973,283,793,695,421,212,424,107,
323,876,733,792,238,408,511,288,822,319,683,702,992,880,340,744,411,541,875,
744,960,140,058,306,832,032,698,519,553,552,369,885,772,723,754,576,336,380,
134,751,185,432,699,152,219,722,022,868,913,842,781,450,910,880,054,567,689,
719,926,695,118,734,714,807,767,539,765,976,010,170,478,740,371,162,418,981,
141,999,413,845,097,843,347,635,596,821,195,940,049,960,986,838,130,766,333,
835,132,874,881,180,598,352,253,215,443,846,818,209,648,612,211,409,460,172,
092,005,667,958,371,723,959,533,296,042,103,243,586,140,741,221,697,121,508,
596,018,682,466,934,476,617,067,534,878,626,995,257,281,163,350,983,782,756,
763,395,271,072,152,372,644,453,188,281,285,373,926,277,964,721,582,003,151,
359,278,434,922,313,546,230,833,344,952,954,263,103,011,261,788,130,952,817,
642,766,697,761,433,703,372,094,596,277,832,354,337,936,821,061,826,033,767,
088,653,562,019,360,114,956,226,649,079,394,207,090,650,703,635,093,339,728,
717,054,493,902,676,196,887,795,928,116,439,730,138,903,615,162,877,492,104,
699,879,396,234,368,002,456,885,016,097,251,166,523,894,026,386,889,802,163,
282,181,701,440,019,439,803,733,234,403,960,513,096,021,676,242,921,695,696,
776,010,479,686,041,015,942,401,748,539,004,171,664,866,164,320,132,620,137,
916,695,542,249,122,755,907,744,411,918,167,398,330,998,515,658,364,303,974,
296,110,008,161,046,145,870,965,545,844,985,705,165,559,621,970,489,630,788,
517,674,305,464,598,328,738,287,936,485,895,347,715,223,429,096,928,763,923,
658,619,176,541,205,628,004,330,722,838,498,109,075,620,653,908,584,766,813,
685,210,709,379,311,540,485,147,798,245,999,893,722,886,402,860,023,617,637,
361,011,365,880,747,108,477,940,289,690,931,059,045,686,750,003,918,976,970,
687,641,835,438,849,932,923,632,427,149,755,870,056,906,790,278,220,820,241,
986,735,535,239,526,423,292,939,035,208,761,481,501,116,135,541,676,850,319,
741,225,727,171,733,989,522,040,250,747,224,286,157,186,034,285,054,581,788,
361,523,176,425,182,791,627,045,647,465,826,753,561,371,739,299,371,864,098,
413,229,696,338,109,610,166,387,366,295,041,683,627,812,329,602,712,731,930,
910,077,438,675,495,851,681,262,055,247,743,895,375,576,618,033,882,035,592,
399,555,418,191,582,989,547,784,767,127,075,173,679,115,177,984,430,439,629,
752,994,485,639,839,386,748,128,267,480,147,933,499,808,070,379,316,345,979,
031,700,982,606,243,701,419,231,460,606,143,725,476,003,019,412,528,786,933,
957,018,655,777,431,192,460,420,029,574,016,374,009,584,062,749,899,050,858,
284,757,989,162,873,990,390,224,761,086,377,007,192,458,094,287,844,362,558,
703,247,366,997,460,153,627,765,431,328,598,319,594,708,917,949,485,717,114,
578,179,129,950,413,667,568,138,710,974,018,614,853,670,984,146,063,497,599,
016,255,080,136,388,799,951,321,721,218,836,177,302,072,455,191,526,179,127,
233,589,712,525,852,647,577,375,206,959,789,548,019,822,782,417,966,943,205,
958,178,215,261,237,682,226,753,674,411,104,997,689,714,406,591,744,300,196,
430,167,295,903,889,841,760,787,483,886,460,555,776,458,472,130,119,462,443,
121,089,269,815,915,749,999,062,062,168,417,203,073,359,465,160,409,741,827,
453,589,686,049,379,211,550,751,907,985,359,993,203,309,922,009,447,895,860,
578,862,655,764,022,820,724,025,910,445,704,246,289,035,220,738,549,870,515,
601,297,673,160,118,088,049,707,177,822,789,073,251,937,548,133,312,922,533,
934,861,891,569,902,493,569,091,018,082,571,987,175,185,799,098,872,616,971,
890,033,092,561,088,213,987,663,851,710,747,093,125,657,261,040,360,685,094,
805,185,278,877,561,935,713,256,017,120,839,048,056,977,402,563,785,185,338,
194,827,935,706,094,455,082,885,484,715,231,929,965,878,657,999,125,295,499,
298,095,861,927,720,341,809,162,917,495,325,694,933,063,597,525,303,093,473,
233,112,755,497,536,005,058,371,002,483,936,642,032,035,640,603,284,364,735,
788,226,185,457,983,661,357,587,653,015,948,371,796,804,609,407,686,006,885,
570,714,941,826,132,804,668,323,788,889,642,330,572,034,431,623,333,127,456,
726,615,016,048,044,837,433,407,282,680,246,250,244,659,861,833,038,603,901,
411,526,674,246,324,270,868,159,009,808,489,148,315,521,742,910,530,098,091,
813,117,139,935,482,172,291,121,258,858,512,599,234,901,415,494,467,954,915,
008,096,279,154,893,018,316,123,970,090,607,417,424,265,460,723,506,088,784,
582,761,262,010,586,769,475,037,036,885,317,876,295,051,479,406,331,193,638,
902,952,486,690,585,156,597,473,861,454,106,822,169,371,765,485,260,099,767,
195,208,594,277,960,839,890,232,822,469,669,627,626,851,259,934,202,398,718,
486,872,034,704,460,272,828,527,655,657,845,281,200,164,423,436,191,067,421,
243,684,617,958,228,362,941,685,476,559,551,195,956,845,886,948,366,654,704,
171,172,851,380,728,307,348,043,429,669,523,489,033,664,222,845,803,305,474,
070,236,050,033,768,213,739,898,014,818,598,638,769,174,295,802,348,462,878,
583,846,900,953,897,817,108,943,439,966,227,982,836,819,524,912,494,044,112,
156,721,141,729,055,642,849,156,539,125,977,165,083,293,876,164,246,358,227,
415,697,753,013,258,308,790,721,617,652,059,521,369,496,294,721,659,664,164,
324,027,151,750,267,892,246,854,830,619,351,378,690,311,317,747,566,038,687,
328,280,596,745,109,566,445,841,138,269,680,838,621,773,345,203,583,507,586,
248,232,854,738,882,242,730,498,657,809,787,729,127,893,057,191,301,531,090,
087,818,670,127,679,121,622,833,313,311,989,839,685,285,011,687,322,716,440,
558,122,683,652,838,850,838,642,301,289,709,820,819,843,306,316,633,956,455,
506,114,905,077,230,029,889,149,238,561,171,722,512,780,579,610,943,980,367,
205,006,325,386,190,730,888,359,615,636,038,583,144,295,266,619,796,750,843,
480,867,446,672,172,536,489,261,227,443,261,574,692,693,385,779,948,569,918,
309,878,877,270,857,028,900,492,470,235,538,118,477,584,834,700,229,022,458,
758,461,637,471,616,478,928,151,826,495,339,291,615,929,792,855,463,639,028,
285,339,396,282,053,406,655,985,246,350,287,632,007,377,599,976,025,278,823,
395,261,639,449,881,370,472,873,307,136,011,544,510,712,964,768,386,057,415,
126,019,816,089,690,895,053,769,620,928,544,311,300,817,854,924,959,143,806,
050,222,423,176,907,501,031,052,160,350,769,115,596,087,370,897,697,398,336,
617,882,150,286,074,270,793,037,326,964,489,826,450,557,003,256,621,327,336,
191,058,637,169,155,060,807,329,292,903,421,602,673,011,261,714,346,358,861,
504,135,943,779,297,663,473,795,446,336,357,832,838,523,061,451,250,270,425,
048,112,340,882,123,587,921,709,560,453,990,043,299,866,546,432,023,270,757,
157,123,635,875,489,379,466,855,444,153,121,658,778,884,200,382,374,951,174,
554,909,809,691,983,278,916,817,429,151,462,765,151,244,404,600,040,816,870,
365,234,247,998,083,545,767,771,094,057,538,430,169,117,255,637,620,021,837,
142,959,220,272,962,453,138,381,307,583,941,702,911,767,593,410,594,719,774,
123,922,396,887,413,886,209,047,499,167,775,427,963,322,691,820,447,631,081,
372,398,069,936,036,346,988,650,142,459,347,390,334,665,522,047,894,319,951,
449,915,887,570,280,628,208,302,582,415,200,650,324,396,634,403,077,767,325,
549,944,887,200,680,292,828,167,475,042,049,949,534,412,878,229,376,584,703,
020,435,251,733,390,973,474,083,540,699,704,195,529,283,773,669,364,079,431,
415,025,477,018,340,474,916,532,965,843,908,585,958,689,173,978,350,777,956,
855,336,950,531,033,424,177,679,366,775,747,040,165,700,096,231,646,444,966,
745,383,377,773,527,308,032,318,692,918,804,098,092,867,853,875,839,197,861,
907,760,555,859,977,901,540,757,245,973,986,970,470,537,616,196,211,282,695,
014,347,310,362,237,766,864,978,037,009,325,124,501,370,537,075,236,434,525,
563,916,362,900,245,768,612,722,500,755,603,304,445,560,466,154,649,953,328,
625,017,236,490,409,003,481,645,845,898,534,679,902,613,573,600,382,401,210,
666,129,275,441,623,771,740,687,258,361,674,757,729,743,975,386,854,580,852,
310,498,100,435,330,505,600,422,517,393,123,853,391,928,907,605,621,202,749,
187,886,758,467,057,791,025,682,033,106,290,187,905,193,626,109,569,118,093,
175,941,847,942,682,575,627,988,047,934,665,311,476,019,554,943,345,084,220,
918,728,908,160,581,365,486,622,225,665,463,832,124,877,790,880,209,658,805,
373,507,984,662,839,898,779,979,409,959,863,432,863,487,974,812,772,355,588,
125,810,738,771,724,449,106,680,498,602,014,730,619,122,417,627,478,496,307,
225,564,802,962,539,952,159,434,589,723,128,219,277,019,737,962,407,899,344,
602,020,109,505,984,430,555,677,776,348,664,992,085,963,800,699,690,127,450,
015,970,589,646,932,405,340,690,245,220,775,793,445,558,891,788,872,873,292,
453,234,423,684,418,944,449,400,604,079,040,843,664,284,665,972,849,555,100,
179,818,857,196,010,037,034,674,760,053,442,654,722,289,169,450,471,942,303,
123,042,840,511,804,766,075,227,671,429,728,377,826,560,587,708,331,878,724,
311,451,059,794,017,474,937,781,289,581,610,073,002,711,329,372,699,363,916,
962,125,478,714,587,908,792,165,695,749,217,172,091,502,624,146,711,800,801,
107,390,082,376,508,624,662,735,528,964,382,697,574,857,764,904,177,712,086,
852,620,334,220,812,043,727,642,443,530,346,652,182,057,215,546,323,203,028,
451,594,178,661,625,495,674,505,783,704,587,096,931,231,978,449,947,315,458,
541,779,741,449,847,418,578,057,848,224,300,439,792,206,342,987,324,445,111,
096,872,375,913,726,733,003,607,017,736,840,155,029,737,356,836,936,984,890,
880,017,871,685,594,071,917,126,675,196,652,299,015,364,528,000,731,364,929,
941,544,933,606,181,968,365,837,872,389,952,463,261,706,026,048,915,210,254,
551,805,815,734,669,176,446,304,920,406,819,515,370,081,781,347,934,510,547,
990,006,860,675,128,560,500,472,878,795,295,971,330,597,151,542,973,899,659,
500,857,913,645,372,817,802,512,660,318,235,183,466,376,466,670,591,702,949,
995,378,115,670,036,537,863,302,636,097,080,577,742,921,563,564,193,427,098,
930,242,614,577,726,226,522,698,071,994,433,226,281,763,104,233,346,281,863,
660,084,581,924,874,361,193,882,131,317,709,542,119,949,511,362,312,335,902,
044,138,825,495,686,129,676,837,652,083,709,571,394,756,476,353,136,171,971,
461,112,807,406,297,154,626,699,134,737,474,053,065,957,032,639,808,631,933,
347,538,414,448,568,986,348,363,860,371,306,560,320,877,908,275,668,418,502,
135,892,460,450,178,025,594,709,616,120,396,908,727,126,622,640,926,745,166,
318,222,455,986,703,443,452,051,373,512,458,553,947,505,054,639,719,215,872,
574,696,649,500,571,849,865,707,097,401,407,028,101,627,439,634,006,640,262,
380,227,128,940,580,079,700,915,241,679,499,469,965,527,934,436,427,684,452,
421,977,708,434,476,693,816,010,202,902,507,652,263,859,010,920,429,693,991,
052,331,032,905,173,682,496,577,551,427,475,144,931,951,479,944,119,868,551,
637,985,427,604,435,484,624,816,791,487,066,524,702,377,276,182,718,588,499,
011,064,856,920,800,449,884,829,307,791,783,960,185,329,300,064,608,582,342,
604,087,825,708,896,899,296,962,636,647,537,998,761,640,430,934,576,381,028,
876,550,962,226,293,569,460,191,839,282,932,514,431,743,632,839,941,089,708,
634,713,585,694,281,194,969,284,704,376,095,948,543,363,669,817,211,829,870,
244,559,497,040,178,637,872,975,314,269,850,733,032,566,062,013,818,806,916,
614,976,244,232,998,374,507,804,152,080,243,892,907,789,695,386,778,738,118,
495,982,430,015,068,532,410,421,381,362,389,690,466,334,306,632,725,045,620,
674,541,376,380,558,615,029,780,974,750,049,207,335,790,831,237,302,636,799,
259,226,961,604,402,813,386,518,544,748,315,535,153,889,705,329,755,222,650,
270,214,699,763,440,038,053,760,303,383,830,572,881,518,246,850,799,811,936,
364,164,610,359,621,105,536,273,531,930,472,143,436,913,465,086,556,930,909,
621,054,126,698,031,891,225,712,167,455,153,239,649,941,053,568,420,815,770,
246,503,831,714,745,174,380,291,099,394,137,728,392,066,574,097,891,644,519,
972,606,525,996,963,199,246,061,943,689,102,683,863,713,320,769,028,329,147,
458,669,247,150,958,060,724,969,132,091,560,920,472,539,101,902,617,944,732,
805,718,659,286,174,347,917,192,195,472,650,781,508,997,075,240,468,471,858,
833,449,196,921,034,756,272,679,735,033,562,931,820,049,722,782,867,832,715,
640,174,433,443,104,105,754,251,855,997,392,697,330,740,183,307,827,210,931,
514,192,963,766,484,492,242,935,924,986,109,824,734,529,077,072,818,289,123,
840,930,832,006,857,626,718,322,296,989,801,188,008,228,265,520,496,209,028,
092,255,802,925,396,486,887,935,504,719,218,021,334,032,426,601,579,354,347,
256,798,256,016,606,126,243,395,462,220,865,223,689,835,796,095,617,209,664,
249,118,506,962,112,518,657,110,265,666,581,130,054,809,781,726,833,482,035,
383,630,912,313,270,015,846,183,810,493,890,107,971,875,961,073,344,816,339,
739,935,758,603,110,511,493,221,461,776,402,058,951,734,828,582,891,780,566,
599,943,882,318,858,957,154,398,023,459,128,508,232,185,825,642,148,104,596,
922,249,862,473,551,492,883,376,912,205,596,182,305,320,232,791,338,368,344,
059,402,058,362,248,316,634,003,921,564,612,206,847,417,281,403,319,450,136,
637,531,984,835,469,977,003,718,166,180,066,348,471,043,245,187,336,071,621,
113,632,297,924,251,240,847,345,053,114,819,339,175,014,247,927,287,902,886,
091,638,658,187,021,985,919,258,238,038,865,018,731,697,185,504,311,401,657,
846,444,398,462,510,583,899,805,215,324,650,254,922,614,945,348,500,833,262,
392,804,811,816,735,535,665,683,411,778,334,601,230,091,196,381,898,671,270,
833,355,164,269,814,956,221,552,866,893,945,037,929,457,795,857,394,206,791,
142,593,455,908,720,568,976,915,883,738,691,666,483,852,810,311,351,927,621,
217,547,416,733,421,163,886,557,950,889,371,589,045,327,031,664,007,236,016,
307,538,641,899,313,147,366,987,334,245,476,030,687,125,842,217,323,215,995,
594,941,550,337,180,922,902,804,486,496,427,441,261,333,208,591,981,649,653,
688,353,297,833,838,664,900,019,440,367,746,470,533,743,500,924,423,799,645,
564,662,168,541,494,564,060,020,189,597,015,654,336,757,521,352,869,222,512,
598,361,163,060,032,150,152,701,255,957,673,850,947,651,209,938,108,602,196,
215,938,232,250,452,390,535,695,149,489,792,506,584,760,710,413,291,077,338,
022,532,498,586,403,751,027,997,066,392,836,180,042,271,210,719,236,691,220,
537,533,431,501,543,675,621,528,214,497,161,440,015,264,813,976,974,898,555,
695,785,944,594,866,952,322,146,715,058,261,807,506,157,845,866,606,971,483,
384,779,679,322,661,447,912,726,820,198,342,915,967,849,050,820,088,956,731,
953,637,887,750,611,231,097,004,848,031,925,284,051,771,850,513,797,419,102,
918,422,259,906,437,112,918,899,183,215,943,669,686,076,144,418,947,868,413,
983,212,892,263,134,336,564,180,658,992,259,548,622,883,648,920,326,811,554,
506,900,434,430,519,046,115,438,631,175,072,621,765,438,275,676,757,469,822,
060,497,064,059,491,972,363,059,656,549,714,242,160,555,241,456,239,483,178,
217,440,140,579,732,833,054,820,272,380,775,650,722,429,421,125,802,231,481,
836,469,041,817,812,752,484,973,447,714,676,686,327,191,253,711,512,446,748,
820,862,095,213,745,452,643,107,422,583,343,471,143,582,559,977,666,844,053,
368,851,405,116,996,152,498,875,437,041,086,855,177,404,203,185,890,386,671,
920,916,510,181,117,282,968,430,624,779,966,475,892,242,868,669,328,906,016,
165,375,079,588,190,890,185,890,972,451,910,417,031,878,581,547,560,159,468,
090,969,971,892,376,353,624,415,996,491,334,939,239,054,063,558,075,896,341,
055,423,837,110,718,990,272,389,162,444,664,440,720,494,498,709,265,431,416,
676,635,933,387,245,222,955,649,167,024,195,272,273,593,612,226,749,565,206,
011,331,172,733,904,444,790,029,497,489,927,496,668,181,043,641,216,349,096,
235,483,572,512,032,938,668,619,225,968,003,033,749,957,992,315,528,640,056,
145,015,561,067,571,822,460,097,294,914,250,716,200,341,721,351,770,173,430,
343,541,296,477,709,678,284,566,713,236,648,729,520,979,355,306,705,576,449,
098,192,870,732,491,220,660,899,574,912,689,811,391,607,335,678,841,779,788,
029,521,476,060,931,141,526,986,859,558,381,623,367,668,042,909,243,247,114,
904,455,460,019,747,338,344,853,246,292,369,170,620,507,364,628,569,899,669,
650,886,584,050,481,225,190,474,580,687,607,399,692,972,306,331,502,016,596,
533,300,828,633,662,481,601,771,074,012,348,513,575,271,090,938,782,144,845,
156,761,992,520,357,783,818,385,471,831,777,630,580,849,665,141,305,595,013,
093,227,737,065,941,249,252,822,528,023,332,641,163,497,949,922,537,068,815,
816,809,728,510,996,780,548,361,708,986,816,972,167,030,574,269,119,824,352,
336,882,553,253,490,659,942,415,278,449,693,203,963,689,109,620,923,099,141,
840,915,405,457,302,224,114,933,089,531,037,284,570,398,984,686,057,130,669,
080,828,534,493,104,663,542,558,592,489,488,658,720,384,891,638,381,647,270,
790,560,601,619,296,485,292,268,213,279,395,489,630,396,127,829,485,144,543,
624,710,942,167,147,204,475,940,792,744,805,204,290,010,148,170,651,059,889,
516,113,050,725,114,258,470,124,734,370,062,461,951,794,004,705,279,570,679,
025,197,003,097,271,266,723,293,674,266,935,003,820,969,555,611,449,414,414,
712,960,913,587,080,821,238,370,578,354,993,890,198,205,727,276,364,321,195,
070,152,255,232,608,105,821,671,466,442,534,741,366,220,654,371,093,499,163,
235,584,475,517,324,866,084,636,241,695,742,673,500,385,470,801,222,337,469,
517,219,018,685,517,635,223,908,196,870,381,890,843,024,171,949,034,704,973,
528,445,358,520,963,110,372,219,982,793,181,180,192,509,505,230,912,178,435,
618,875,888,445,666,057,222,623,161,253,388,514,355,006,535,638,871,228,112,
237,228,768,387,928,932,466,778,570,282,261,695,617,335,696,091,489,231,996,
120,121,689,303,490,153,376,842,048,831,525,127,547,790,085,728,969,941,158,
495,053,207,076,786,776,027,588,361,107,204,583,893,565,024,799,684,869,175,
093,618,771,965,153,473,419,640,311,654,073,605,011,147,838,872,543,875,580,
542,834,723,446,890,582,916,677,641,080,970,601,237,440,973,170,381,366,005,
555,255,109,597,365,393,840,514,027,027,685,923,051,408,375,918,141,046,738,
344,421,610,053,598,199,852,524,915,733,246,131,475,691,348,769,779,563,198,
266,380,236,944,076,752,963,870,827,075,634,434,629,792,154,543,169,325,529,
634,168,707,807,312,051,938,793,416,606,086,925,507,698,378,916,581,128,242,
197,909,478,457,435,303,715,375,940,757,353,125,348,942,724,216,264,918,498,
642,456,473,846,529,346,240,966,959,008,575,691,529,845,190,581,211,805,082,
548,742,566,024,453,979,156,239,069,073,988,852,846,212,916,071,419,493,363,
954,405,218,287,129,570,811,692,651,665,440,517,777,943,505,050,107,576,356,
467,011,330,799,638,054,096,796,171,704,195,029,013,660,418,210,860,240,717,
317,707,976,248,111,712,965,169,798,916,772,779,968,353,870,533,912,802,901,
946,799,320,859,035,059,859,017,656,678,838,742,329,039,942,501,504,124,520,
590,306,943,542,442,173,062,445,259,476,744,873,780,587,808,057,698,315,519,
614,899,974,483,188,164,353,407,628,431,373,352,308,607,460,739,979,903,519,
232,546,213,345,978,329,615,896,181,993,723,596,779,691,570,292,262,343,606,
562,299,018,457,260,124,120,511,921,940,629,502,047,488,748,008,359,601,049,
000,208,062,749,757,912,335,672,783,098,956,387,573,966,723,188,913,819,194,
898,387,142,347,999,021,235,247,504,925,855,239,898,412,933,162,873,167,860,
858,447,282,727,503,834,247,468,786,802,884,266,106,843,105,418,444,308,752,
604,148,314,476,008,450,918,717,986,832,034,989,339,414,669,468,818,353,428,
425,091,180,536,963,337,227,783,518,839,284,647,084,720,940,707,880,286,158,
096,119,908,114,120,957,077,699,127,694,071,910,245,279,378,870,377,893,632,
517,207,126,676,685,142,419,036,649,165,708,105,720,667,057,638,135,871,524,
282,826,707,190,251,887,349,546,945,786,501,931,773,147,356,350,536,995,461,
846,604,910,701,608,153,749,670,733,859,067,634,673,287,363,854,202,598,902,
590,725,340,897,577,833,563,139,478,542,261,386,303,961,532,261,714,315,812,
435,642,744,320,746,532,813,356,871,607,375,201,339,879,736,896,836,301,697,
319,185,379,417,008,053,676,345,016,059,490,876,258,981,067,210,724,920,656,
793,253,342,471,588,138,439,122,858,582,974,901,008,807,509,459,304,280,830,
325,490,212,911,076,773,734,252,557,788,485,709,346,063,198,643,425,283,247,
986,175,699,278,228,161,547,912,443,369,237,452,303,920,262,396,793,713,682,
546,846,271,311,440,814,498,416,796,713,352,056,482,594,329,439,336,345,683,
201,254,037,598,641,307,111,110,812,412,581,080,121,110,328,037,521,232,618,
742,325,242,324,736,636,866,385,217,697,548,533,019,671,876,571,165,418,981,
072,729,052,597,126,713,637,468,439,505,517,336,575,785,087,208,295,818,652,
594,495,419,404,505,110,160,930,263,791,487,812,074,904,248,993,135,075,573,
274,302,887,233,691,260,360,921,082,339,500,355,914,439,724,425,772,904,154,
734,765,774,486,846,818,045,392,163,734,846,058,422,551,330,648,166,111,072,
453,471,248,864,601,110,645,919,885,038,120,967,643,264,966,138,940,335,480,
887,332,658,724,779,159,608,578,736,038,025,053,976,835,063,230,820,886,929,
147,560,694,738,199,588,174,417,377,424,109,312,607,610,520,043,228,984,425,
224,387,493,839,405,329,617,803,116,117,133,803,331,745,112,771,402,169,685,
861,086,476,808,084,871,573,389,587,053,037,377,985,021,145,645,138,769,285,
374,743,343,803,898,041,998,586,030,179,953,549,885,696,500,563,332,498,626,
416,391,023,491,457,264,983,898,998,792,672,187,599,187,940,276,813,641,541,
001,191,483,474,600,404,315,153,052,268,180,806,370,312,222,755,125,355,617,
120,520,016,622,169,663,211,949,020,542,870,241,631,308,518,636,393,018,305,
417,839,049,154,534,443,520,050,813,165,343,971,899,713,505,879,023,243,338,
118,634,735,800,788,646,589,409,030,302,981,619,984,175,760,661,537,692,197,
512,135,885,375,387,732,008,226,585,110,434,948,091,187,799,451,420,623,720,
042,449,390,228,886,468,255,731,366,368,002,559,475,845,703,395,960,595,637,
473,460,545,090,255,632,322,345,832,799,144,124,568,453,634,914,680,054,727,
116,454,465,325,004,689,067,950,678,700,567,413,765,121,278,769,657,730,273,
261,879,054,864,064,258,675,258,781,682,935,458,380,585,858,761,037,149,639,
829,705,002,158,439,935,410,126,405,746,103,828,341,258,015,179,520,600,385,
636,040,301,222,118,661,228,479,242,380,606,298,807,074,725,005,783,404,407,
191,227,591,493,456,524,743,864,905,095,437,720,497,348,095,528,494,261,767,
316,342,511,976,118,009,006,344,399,780,942,344,508,127,475,655,378,623,348,
475,426,798,978,035,211,306,728,261,104,950,402,508,731,685,504,889,001,397,
921,364,709,989,083,014,751,769,035,643,175,565,437,771,854,749,219,682,138,
572,668,060,609,796,149,954,296,908,322,316,282,140,227,497,765,930,110,305,
760,930,352,763,640,193,498,841,258,873,316,224,690,900,378,330,468,403,073,
410,809,869,817,542,319,573,258,713,196,723,756,114,538,080,536,542,031,489,
360,481,641,998,117,704,727,919,858,637,789,459,698,780,245,603,028,873,744,
430,580,789,524,254,176,722,767,311,303,262,318,933,685,666,559,600,379,864,
377,819,590,152,005,474,920,058,682,013,805,373,575,671,267,452,441,249,660,
670,313,735,166,675,233,421,480,201,048,000,682,252,983,684,462,072,163,625,
970,632,384,733,113,188,307,850,729,315,557,449,748,574,822,996,240,391,827,
496,915,602,964,992,706,290,159,123,885,672,068,879,075,873,855,344,702,433,
464,922,676,173,564,455,207,735,510,390,542,980,130,465,363,397,370,087,514,
214,147,799,933,405,656,692,587,038,418,553,455,228,040,672,329,774,953,976,
072,504,356,918,317,547,330,132,232,544,495,370,019,807,380,448,686,508,036,
127,491,658,639,013,736,280,699,102,983,104,154,069,746,833,903,783,894,852,
595,416,481,993,112,134,686,928,065,904,330,497,659,161,043,846,575,701,008,
385,215,577,343,014,059,422,607,920,431,768,845,762,608,163,890,556,381,054,
410,441,402,772,942,092,894,132,416,890,655,626,101,643,483,097,663,791,441,
229,431,120,859,631,857,504,979,775,062,189,905,441,142,299,115,078,975,704,
023,579,948,646,772,671,224,664,446,575,129,269,678,344,003,476,876,958,476,
495,457,151,554,752,681,986,400,041,179,106,657,528,714,768,849,333,476,183,
014,450,953,613,701,563,427,404,818,718,029,910,612,672,650,626,325,256,082,
128,009,671,467,562,607,855,461,929,383,442,488,766,505,590,899,055,337,820,
092,239,756,474,532,896,413,080,573,087,599,906,618,606,686,393,799,521,829,
188,477,697,005,922,871,747,229,601,852,845,969,428,111,168,747,101,961,776,
704,927,107,216,962,797,364,736,299,761,685,766,190,066,857,434,275,110,645,
256,019,874,251,769,392,294,275,202,674,357,125,729,652,990,722,532,561,278,
418,231,793,221,007,075,208,942,582,040,868,753,416,509,304,309,639,232,363,
493,937,886,331,030,932,080,360,176,352,291,217,404,185,146,570,696,397,788,
848,549,724,214,735,358,865,696,481,230,184,753,802,041,056,214,230,507,679,
448,743,113,542,111,700,357,923,299,998,528,828,669,840,468,561,479,606,762,
819,792,062,788,073,142,926,004,028,708,145,845,703,378,986,865,972,278,467,
961,390,323,524,278,090,319,783,417,692,084,924,821,010,794,598,015,716,030,
415,046,233,016,792,562,758,665,370,356,092,348,791,154,231,788,164,448,153,
903,047,171,959,104,274,387,430,103,469,048,330,179,001,339,120,612,500,325,
319,247,444,322,817,683,813,258,945,695,374,838,187,139,532,436,747,866,765,
778,171,979,582,342,217,087,810,020,629,246,789,457,621,957,906,408,555,255,
628,370,565,617,689,702,776,660,558,727,791,196,600,268,028,061,605,793,354,
053,830,503,980,923,186,980,734,636,084,954,241,073,885,531,390,896,281,694,
499,417,124,444,544,893,970,709,164,201,027,650,717,150,466,733,943,775,513,
850,390,217,825,729,787,597,020,716,216,301,168,041,860,622,693,788,006,265,
909,617,445,264,442,349,601,367,439,009,071,598,018,615,856,344,191,924,335,
037,710,637,520,443,808,630,871,175,855,694,296,788,336,917,978,418,136,835,
166,690,218,820,770,711,335,674,307,152,454,671,288,658,321,639,739,793,946,
321,057,522,957,902,459,963,831,024,105,451,172,736,596,732,663,931,984,744,
811,154,231,538,332,609,598,555,708,233,607,025,006,859,376,139,000,015,957,
795,056,856,761,341,031,419,394,191,302,896,070,198,524,908,926,747,096,363,
438,710,758,581,048,153,757,135,458,761,070,902,929,355,281,114,061,283,617,
682,942,437,968,631,166,869,446,347,532,656,171,778,023,438,973,994,984,797,
988,784,152,390,510,662,736,061,677,484,121,360,593,044,772,777,254,156,576,
793,070,604,548,159,057,843,322,795,383,674,849,725,423,240,621,198,970,831,
015,388,934,515,818,784,618,035,314,460,668,370,496,437,617,708,426,481,474,
349,292,394,227,065,090,950,742,889,619,332,696,190,898,338,231,705,474,691,
976,910,056,604,126,890,458,063,076,180,958,784,683,947,591,265,275,935,729,
309,797,873,500,391,735,146,889,391,462,209,636,000,965,469,783,974,413,611,
632,373,568,251,086,896,244,804,445,495,911,211,073,600,680,935,570,733,452,
020,739,422,138,010,596,279,365,671,305,881,674,876,608,822,955,656,152,514,
317,900,086,628,282,484,726,092,802,013,259,914,796,219,558,744,658,149,407,
064,720,451,076,952,588,646,771,138,529,329,816,524,734,035,657,105,572,039,
091,487,928,094,462,885,408,213,598,571,532,077,396,077,013,899,233,702,154,
872,063,648,290,289,661,737,705,220,168,847,221,516,635,622,276,573,231,938,
848,680,474,809,903,687,390,527,634,513,071,983,344,267,461,084,658,697,360,
385,100,274,630,854,939,694,747,871,506,837,896,462,997,763,125,855,160,076,
649,964,870,401,894,725,911,146,204,200,591,755,792,283,759,882,857,085,813,
059,957,490,389,139,850,323,846,440,603,644,449,392,449,396,272,592,010,396,
760,128,179,544,817,218,695,299,048,932,023,906,553,252,058,350,881,180,713,
133,416,776,221,376,749,402,037,594,255,332,728,648,844,173,597,810,174,903,
879,967,836,227,534,422,587,274,423,139,937,783,696,161,060,183,407,382,984,
712,862,026,368,322,767,873,454,240,200,592,722,236,215,195,280,286,980,562,
804,669,958,479,837,935,713,465,877,255,511,976,852,309,636,813,786,337,528,
710,902,248,094,633,600,895,605,683,922,222,319,699,641,232,168,016,943,859,
596,213,172,138,712,360,503,620,834,233,169,273,232,080,933,839,258,153,718,
831,201,448,699,454,778,555,356,164,128,641,698,069,878,484,125,821,586,529,
316,671,318,042,942,842,435,295,268,740,572,523,007,157,688,856,935,168,652,
568,325,963,137,175,920,304,996,954,019,098,861,510,127,159,719,866,868,263,
009,830,341,830,826,537,563,816,510,997,265,973,374,552,526,218,202,859,163,
889,412,575,243,505,487,549,201,693,227,108,359,000,340,701,000,710,249,305,
947,261,079,527,268,196,134,396,315,190,327,023,418,242,194,688,362,783,420,
444,073,090,534,990,588,827,597,759,749,749,591,478,870,332,118,636,305,778,
396,722,493,197,701,376,947,242,484,110,555,248,237,700,212,296,009,778,123,
476,958,111,634,172,143,193,626,508,890,172,404,142,454,967,663,005,413,196,
062,796,984,209,093,006,120,286,250,121,246,432,878,858,445,587,275,014,710,
402,474,986,294,452,357,992,775,281,434,722,993,678,232,939,149,445,537,500,
429,766,330,710,797,429,172,305,799,080,686,676,564,161,368,660,987,601,084,
353,753,039,385,467,331,074,800,240,295,690,179,094,884,757,903,282,329,205,
195,439,417,435,296,427,154,946,081,039,059,195,382,767,914,032,513,831,673,
606,434,685,276,970,008,901,482,363,639,746,670,755,787,139,530,950,018,153,
654,833,175,700,265,491,120,573,489,257,173,871,604,657,527,865,495,362,420,
716,638,664,192,016,470,526,791,495,136,988,355,486,253,580,005,194,022,445,
733,796,802,394,370,022,044,619,640,813,147,321,471,333,360,501,043,330,058,
575,211,384,616,658,151,519,749,299,068,330,061,353,831,355,670,550,681,190,
273,899,304,537,497,207,299,153,156,171,480,634,886,770,724,013,970,735,978,
788,925,622,213,471,850,259,735,516,389,345,154,982,994,367,098,576,111,021,
768,149,445,722,210,103,832,088,552,889,172,855,941,549,660,092,645,482,520,
174,892,016,223,964,537,776,714,808,944,761,385,555,500,364,246,167,085,479,
045,181,259,551,179,745,830,349,820,297,325,732,689,106,619,757,028,125,542,
797,784,170,888,469,600,573,627,553,725,068,605,812,707,583,621,885,398,008,
405,872,449,848,263,740,916,290,649,352,591,936,990,951,275,123,533,606,168,
846,585,201,402,618,285,547,002,932,210,587,095,902,246,538,318,078,701,277,
056,835,045,672,230,855,381,605,989,513,345,101,045,235,968,331,504,933,030,
628,378,628,638,491,278,039,249,971,523,887,098,486,789,816,689,582,277,635,
594,957,418,933,673,349,332,512,844,603,600,946,761,527,625,144,284,491,421,
032,400,223,672,038,565,760,553,054,871,907,195,754,716,541,083,167,670,258,
262,545,917,828,292,151,896,942,529,973,641,984,661,377,687,797,312,909,672,
195,112,685,091,084,132,046,426,436,676,254,704,443,274,709,558,063,539,067,
684,957,006,599,091,425,392,981,703,875,254,480,815,776,171,811,929,272,889,
843,052,493,924,056,770,212,593,697,306,156,726,772,718,944,019,866,891,919,
332,612,329,112,525,772,574,166,582,848,628,259,932,212,156,154,459,154,267,
289,690,592,176,664,601,203,072,663,333,726,063,451,729,378,216,043,060,832,
947,059,352,251,193,792,260,377,287,983,364,575,744,081,061,989,471,366,973,
294,769,035,859,672,416,128,358,060,487,179,673,471,463,382,366,909,309,380,
232,223,907,935,740,479,948,824,930,151,711,148,495,562,279,271,253,672,580,
902,322,096,789,866,670,644,312,119,136,540,411,837,524,247,329,394,377,868,
981,040,388,825,630,996,225,982,565,125,242,062,078,742,858,611,793,349,301,
892,613,943,886,710,748,398,673,481,126,905,890,707,945,947,932,577,146,342,
541,800,656,440,266,210,829,831,078,353,957,582,425,479,317,559,182,290,315,
655,053,512,652,413,494,416,105,188,655,001,430,667,294,948,584,645,701,369,
473,787,598,021,088,871,411,437,548,843,443,364,676,972,522,037,804,837,064,
969,987,997,016,842,951,872,968,273,921,075,696,966,432,895,058,704,164,364,
388,399,149,219,422,252,492,892,134,886,467,520,606,120,471,418,580,826,849,
903,207,307,904,942,224,712,848,434,293,992,310,650,068,960,772,724,344,299,
864,957,436,235,268,895,143,034,972,846,614,897,661,157,287,668,770,348,568,
207,995,240,991,991,860,762,914,816,365,886,484,622,580,714,606,642,888,212,
622,381,308,312,381,417,893,480,033,915,809,159,617,160,574,017,995,247,968,
299,767,415,430,712,690,133,980,844,288,244,509,627,219,851,111,645,493,226,
930,587,264,505,101,310,875,877,419,639,097,650,058,104,265,784,994,123,887,
414,973,653,882,223,791,574,401,019,726,872,507,376,429,275,372,529,252,313,
939,347,652,628,316,080,770,930,659,268,375,985,308,837,350,620,451,184,887,
538,327,394,290,901,869,897,246,801,178,175,246,853,291,957,836,700,491,162,
424,038,038,751,878,460,179,992,293,139,295,370,576,876,013,602,152,932,572,
674,141,790,067,510,826,952,390,922,564,031,912,157,454,937,044,335,044,623,
272,546,281,088,966,236,290,565,326,754,284,657,729,659,656,838,303,125,409,
031,598,353,750,210,756,535,444,487,869,100,256,258,009,244,035,808,021,102,
726,822,652,306,550,615,482,043,870,567,005,566,035,948,624,478,583,188,941,
683,198,894,873,385,504,762,715,750,407,257,626,307,338,131,346,335,198,666,
397,990,718,788,149,486,940,174,809,938,891,742,310,082,898,295,876,585,499,
863,369,019,415,067,408,964,685,006,422,860,554,142,367,326,120,449,697,501,
581,669,355,625,977,890,446,967,716,044,520,791,956,197,227,778,736,985,133,
100,771,746,970,713,873,803,594,539,864,026,811,595,750,385,613,159,996,297,
998,515,491,532,430,733,740,263,992,361,475,603,983,073,502,702,104,378,399,
437,465,459,155,490,352,118,720,012,822,698,828,417,538,859,255,787,193,951,
312,130,744,184,516,811,175,921,106,740,149,619,718,371,922,839,664,530,082,
724,686,651,162,074,845,143,569,671,745,129,153,837,842,572,321,396,068,733,
096,840,247,156,843,372,656,399,622,774,463,612,433,986,500,252,072,750,613,
253,147,259,234,794,243,668,079,765,565,582,708,343,512,366,840,909,956,903,
252,249,166,914,749,237,752,291,660,610,354,808,913,152,742,389,792,861,751,
119,002,514,990,252,757,104,735,173,395,457,551,964,791,886,774,981,241,637,
856,075,795,396,368,170,235,353,951,466,163,964,615,236,918,501,602,051,568,
850,994,381,143,587,975,165,306,140,933,351,385,381,897,496,865,013,192,482,
559,382,903,567,800,660,086,606,874,471,376,323,115,971,588,854,910,495,250,
320,177,479,474,988,158,361,854,471,828,221,462,618,577,340,108,848,305,239,
585,609,035,151,268,100,880,649,745,357,523,794,648,382,637,325,692,095,544,
563,758,158,419,061,503,588,644,783,205,423,075,997,944,471,055,234,341,015,
674,595,102,075,241,734,630,368,360,524,271,319,125,005,691,936,984,410,398,
716,931,191,857,288,331,628,836,427,759,709,857,695,030,286,119,027,408,320,
820,268,274,189,860,921,348,221,582,025,593,812,393,566,380,907,464,456,741,
505,688,165,650,879,866,740,432,117,223,207,095,690,991,538,143,847,841,544,
166,690,083,063,710,899,559,260,268,451,686,382,059,098,183,746,423,086,693,
653,055,980,573,875,329,915,745,381,277,467,711,082,338,076,422,754,648,467,
493,312,955,062,997,773,833,357,116,260,012,348,475,251,732,279,707,384,837,
362,196,696,134,369,932,690,787,102,338,330,645,811,066,357,214,864,590,140,
768,248,685,748,225,261,906,272,903,862,173,431,250,738,873,148,878,297,444,
664,763,788,667,798,633,197,154,273,769,655,910,973,935,361,246,007,831,635,
337,814,479,034,901,196,462,974,047,821,643,956,674,352,003,300,207,255,341,
810,005,982,403,023,986,862,250,699,783,820,382,851,387,844,051,325,022,776,
770,585,452,623,414,430,817,444,578,851,589,684,964,966,799,604,731,608,618,
322,753,339,979,049,674,342,817,030,731,227,662,026,882,721,061,328,849,451,
994,082,176,752,587,975,414,560,555,089,148,214,212,094,909,008,941,112,691,
075,285,319,562,780,381,822,418,280,280,141,505,797,610,306,137,704,096,670,
409,627,715,069,401,271,558,086,916,996,378,717,778,659,023,142,072,025,883,
709,590,287,823,111,894,351,606,447,317,152,390,268,288,532,814,338,395,870,
139,929,535,748,712,305,583,867,199,724,728,056,681,388,157,047,887,891,669,
825,801,445,861,004,719,332,629,263,374,496,957,330,525,801,402,241,231,678,
259,081,719,049,820,227,773,168,440,352,742,965,910,097,896,023,439,423,809,
619,380,252,133,384,076,128,278,771,176,473,427,876,120,929,509,761,357,351,
556,143,517,299,288,056,121,499,454,527,448,302,262,639,741,980,580,494,666,
973,021,614,338,618,618,683,723,949,314,585,160,432,339,314,090,346,518,511,
440,596,890,378,343,862,291,606,919,045,777,645,323,584,875,320,867,985,130,
375,641,575,865,105,339,554,661,594,479,906,676,499,427,956,393,825,115,663,
093,401,285,571,546,199,218,308,966,250,698,590,177,510,845,651,274,656,634,
712,508,236,645,862,767,632,051,431,183,697,717,157,242,034,834,812,909,190,
178,277,653,500,830,386,837,360,247,844,164,903,441,998,661,982,062,645,261,
357,511,793,240,545,176,951,240,316,542,380,162,671,019,884,703,217,567,188,
812,128,650,451,215,363,191,356,861,218,849,674,997,244,201,196,049,217,895,
477,537,697,633,896,841,680,257,771,730,290,904,433,664,596,434,495,308,776,
964,040,040,537,111,413,527,250,693,110,755,187,822,954,683,758,978,263,531,
004,806,530,725,240,978,108,155,317,681,804,182,983,709,242,144,622,412,720,
552,945,937,414,884,848,711,871,604,784,844,417,802,724,468,878,079,192,959,
130,018,478,451,428,176,488,627,716,454,850,061,676,601,599,412,311,818,855,
096,418,463,448,177,625,622,861,361,197,244,209,754,035,084,864,549,974,678,
457,064,554,973,897,638,272,742,325,388,423,779,110,526,456,260,036,213,560,
369,485,937,791,015,134,366,274,634,360,377,164,989,141,082,211,547,042,993,
229,014,246,691,592,635,994,730,649,781,388,366,087,999,403,744,519,079,260,
356,658,038,965,653,437,501,700,416,187,573,613,811,550,382,030,826,718,186,
681,894,869,900,750,893,383,720,416,927,116,070,548,260,698,880,965,049,566,
159,348,719,827,086,817,917,399,820,140,082,142,354,310,377,846,900,965,198,
972,491,977,030,426,532,957,950,991,218,095,962,047,134,946,682,375,882,982,
460,539,904,793,221,709,883,774,385,426,826,618,195,693,865,745,658,148,958,
118,213,982,075,191,262,492,415,308,904,258,041,617,448,395,601,378,370,642,
133,619,650,329,205,773,674,906,010,775,793,333,472,076,030,454,901,413,436,
354,741,316,957,699,583,127,982,159,775,134,614,278,057,488,608,992,015,853,
682,134,961,378,393,822,461,857,368,655,975,982,730,452,642,664,977,734,914,
750,925,104,334,403,196,702,452,720,734,746,781,971,225,313,978,461,921,832,
371,342,485,984,227,875,792,575,838,347,563,530,137,518,157,823,159,568,423,
318,477,529,828,449,012,702,976,755,001,498,242,278,472,208,583,251,134,214,
174,701,029,521,851,728,999,090,661,890,139,784,583,800,030,250,108,109,423,
206,003,969,658,147,672,565,793,032,543,314,982,096,419,285,040,778,405,123,
464,789,909,568,595,174,634,329,278,804,383,647,735,978,097,069,980,086,164,
207,192,654,836,816,649,496,907,608,728,111,124,040,143,751,446,795,533,510,
574,925,810,959,857,564,349,774,528,546,474,638,133,192,268,254,725,267,553,
103,484,763,940,460,162,463,777,880,428,791,077,538,372,760,886,715,407,356,
697,738,103,186,789,942,159,680,577,645,942,518,907,940,927,112,609,658,845,
127,796,710,975,467,488,385,591,768,017,736,216,972,182,373,404,690,270,054,
934,793,627,115,988,976,895,055,783,396,567,099,656,202,987,906,243,457,376,
913,375,480,205,400,553,728,221,851,954,559,327,210,479,887,449,728,808,747,
326,665,174,359,729,471,607,183,589,801,386,742,252,432,483,846,319,883,358,
589,759,633,290,290,802,314,811,526,054,679,401,400,939,679,964,363,763,866,
340,454,976,769,963,592,445,462,985,898,067,001,405,053,778,649,468,133,131,
719,995,982,700,487,786,755,777,757,971,962,254,093,011,676,487,137,877,117,
265,280,729,723,092,687,498,109,210,029,285,124,036,294,543,842,599,006,931,
418,063,147,171,873,046,786,865,652,392,428,246,345,809,636,277,363,555,598,
270,979,744,635,700,541,665,697,777,590,978,769,978,066,746,264,832,335,093,
871,293,652,801,565,356,362,256,104,956,927,457,753,431,205,019,661,958,164,
198,476,201,091,925,490,999,446,202,316,670,598,466,269,350,234,385,228,204,
936,015,081,708,454,291,843,755,053,133,711,764,331,746,833,311,574,632,113,
628,998,197,240,923,095,285,239,333,908,301,028,942,678,382,537,293,007,581,
154,272,667,195,964,123,363,704,744,600,085,977,037,456,774,447,940,758,841,
881,825,051,191,646,148,984,352,060,846,275,845,536,050,127,075,350,049,961,
322,309,799,331,099,599,073,677,587,850,986,309,802,227,904,942,649,807,444,
762,226,992,633,542,653,269,160,033,610,731,002,325,407,684,638,786,011,390,
997,630,417,099,980,786,443,929,738,490,153,320,121,468,126,691,128,420,001,
970,488,444,966,330,787,895,032,489,139,287,664,910,372,026,173,526,562,042,
355,637,355,569,178,712,298,777,645,624,870,631,429,145,055,165,535,364,261,
689,858,622,705,176,414,757,638,773,731,255,493,678,998,538,446,922,965,861,
362,182,639,629,427,655,628,351,804,832,221,382,249,132,805,104,885,146,381,
016,839,806,705,586,543,552,190,366,810,439,355,419,991,379,576,154,130,016,
600,233,798,468,189,028,885,930,004,698,788,318,033,511,996,333,758,341,231,
302,352,425,936,854,081,230,853,589,237,573,301,122,708,840,055,031,143,971,
704,738,978,687,949,993,339,175,082,235,762,360,793,285,953,186,401,836,462,
319,179,652,615,743,402,525,397,294,747,423,986,819,328,517,571,958,737,798,
469,589,291,733,067,583,863,691,678,897,176,851,464,160,556,813,591,493,565,
363,466,663,237,187,458,322,530,874,277,208,180,806,162,219,748,993,278,262,
760,405,307,667,517,475,024,188,383,410,622,497,131,829,874,161,247,394,077,
289,678,316,155,323,873,938,559,040,355,273,476,290,042,443,447,225,459,614,
117,337,932,654,157,243,553,861,108,133,779,000,257,858,849,906,803,495,648,
460,086,038,547,380,329,746,176,644,264,485,512,636,177,862,018,868,646,187,
473,231,356,453,769,587,179,648,176,223,173,821,538,474,859,038,386,276,212,
215,970,129,087,829,568,962,775,719,242,125,307,338,548,398,196,332,211,663,
503,781,791,516,997,717,391,190,878,780,040,110,926,832,640,658,230,045,986,
243,723,659,126,236,947,090,062,709,409,323,064,424,619,442,745,859,019,380,
080,386,297,110,457,365,805,605,879,801,705,616,862,288,573,076,300,240,808,
629,096,830,836,350,193,636,782,568,182,453,300,219,332,595,734,629,395,290,
546,745,843,761,562,401,335,858,114,989,632,901,401,439,385,230,395,112,567,
608,945,338,076,521,327,442,147,960,750,593,192,721,389,226,375,762,918,961,
067,593,015,998,020,637,986,019,609,254,132,920,090,982,078,679,485,101,082,
386,981,954,146,306,625,194,666,212,899,257,250,814,618,457,975,543,826,315,
292,620,302,268,217,521,643,774,440,895,296,664,084,212,511,800,548,715,489,
888,244,168,837,947,709,819,248,419,993,945,846,275,753,440,480,411,327,142,
492,707,489,544,869,581,965,282,046,563,659,174,169,515,531,945,593,272,842,
687,265,156,606,168,288,691,010,751,495,921,036,834,912,514,375,875,582,527,
952,159,172,917,480,733,162,883,903,523,194,914,821,073,972,548,008,701,681,
832,459,474,826,923,781,264,526,493,878,595,738,216,806,912,852,170,869,650,
779,080,010,507,615,138,482,803,846,875,622,437,732,785,669,666,336,211,480,
975,133,800,744,744,398,246,527,137,573,508,728,245,895,338,953,995,752,623,
345,656,244,062,282,428,707,240,637,312,971,463,281,439,041,302,837,107,040,
752,251,930,762,888,156,326,375,146,457,048,727,209,652,510,034,867,086,968,
575,626,974,597,023,902,094,123,047,972,527,062,224,053,175,230,024,835,783,
112,908,972,377,585,599,799,844,923,352,750,519,559,505,450,493,904,848,453,
748,828,669,969,989,377,713,114,653,292,693,668,490,162,089,827,410,494,501,
146,319,106,722,489,400,985,367,176,086,452,058,739,828,978,716,587,755,220,
038,299,186,833,637,236,897,242,813,342,533,178,097,840,026,531,235,167,327,
385,847,137,463,048,703,178,957,238,775,748,609,246,766,459,313,152,402,892,
044,356,401,000,119,101,667,122,818,906,894,425,750,437,835,955,661,983,241,
723,444,724,442,449,073,456,835,346,205,287,309,994,074,790,782,797,888,543,
496,063,243,330,027,234,416,294,408,406,141,165,814,613,576,373,891,104,691,
823,695,970,586,875,801,080,539,031,594,218,193,590,873,504,120,258,135,930,
349,641,437,593,477,765,817,701,178,101,973,102,123,833,668,812,291,573,291,
588,465,297,963,473,851,764,463,456,007,483,279,332,165,397,902,386,154,951,
848,577,432,198,283,021,071,930,424,047,593,469,540,963,088,176,757,546,252,
960,004,942,735,806,822,459,106,088,168,471,400,976,695,279,066,635,945,215,
168,630,828,105,219,105,079,498,047,226,532,440,073,638,977,330,967,656,491,
502,713,228,133,235,042,356,331,879,510,357,958,681,321,512,767,371,388,569,
244,480,963,985,890,915,813,316,840,396,703,345,877,242,103,457,402,019,653,
793,892,149,393,772,968,335,848,011,006,316,767,109,510,236,795,113,222,695,
214,752,208,407,955,115,739,143,467,200,999,371,049,120,342,521,144,032,856,
377,466,148,340,528,417,463,457,028,696,914,421,735,661,748,026,164,022,943,
102,452,830,155,986,024,302,080,808,947,099,077,942,268,055,844,361,629,337,
999,836,226,966,398,104,083,733,840,058,760,500,693,384,551,470,771,775,030,
450,663,101,436,599,636,840,043,253,480,794,285,485,427,012,825,490,924,691,
177,256,312,405,748,764,374,395,882,307,618,183,014,686,827,314,526,160,635,
697,685,059,427,519,514,131,722,711,239,073,287,432,437,034,181,367,720,035,
241,686,804,583,856,052,684,154,065,724,837,459,009,995,729,070,639,013,457,
448,607,267,772,331,127,185,606,472,722,802,263,533,483,803,555,897,149,092,
213,200,664,411,078,142,848,360,413,947,331,149,648,539,390,334,894,848,826,
404,430,106,120,778,601,128,498,165,033,333,599,283,037,702,221,251,884,372,
951,722,513,339,764,930,875,007,311,021,752,417,565,537,560,500,670,823,318,
385,349,237,833,155,160,833,653,845,193,575,035,577,895,341,909,143,211,733,
629,088,618,971,127,276,286,352,752,876,200,211,127,625,186,490,480,416,178,
569,348,728,241,199,460,202,848,736,113,185,763,079,523,236,786,671,349,766,
726,092,997,274,479,502,101,041,457,198,324,005,964,014,180,286,022,363,642,
882,511,834,962,778,532,593,587,046,538,717,024,457,981,751,178,374,951,969,
988,365,346,703,069,555,218,411,739,038,185,029,609,732,638,459,914,637,268,
785,235,115,602,864,891,929,969,011,785,727,944,448,363,488,146,376,209,725,
038,501,039,061,381,023,220,361,246,922,026,567,701,098,586,220,651,575,673,
813,358,556,158,272,164,573,224,124,597,441,420,326,903,926,989,986,813,595,
033,969,938,413,045,956,482,452,746,860,954,005,229,182,219,889,643,951,584,
156,618,270,340,448,683,364,104,701,099,429,937,189,025,611,223,096,673,552,
190,126,177,366,352,097,202,478,139,458,342,294,262,495,682,203,517,461,712,
833,249,534,397,484,251,362,375,229,060,688,272,462,542,769,928,414,847,174,
396,675,395,522,486,698,418,965,778,861,277,231,804,309,243,572,329,148,155,
048,090,888,508,072,030,997,243,963,574,562,739,026,208,370,053,755,290,419,
210,669,443,845,872,289,297,927,150,949,622,568,231,274,238,333,268,274,811,
871,964,727,361,627,873,995,538,500,549,030,249,679,029,223,710,366,928,740,
789,146,443,009,006,324,369,621,047,301,892,114,581,010,156,596,427,774,316,
772,571,594,799,336,424,277,316,205,908,305,313,680,000,222,940,364,021,237,
232,144,082,832,174,494,160,810,475,280,940,394,756,205,360,964,760,450,923,
336,556,950,287,672,392,859,880,674,316,094,795,462,156,679,601,611,267,903,
649,034,287,029,206,965,119,811,879,717,966,881,248,550,916,192,977,126,774,
330,216,594,423,736,470,739,588,930,810,624,422,331,674,161,375,321,092,144,
217,411,913,035,148,522,920,787,699,250,767,095,314,432,793,191,781,943,276,
019,749,999,618,973,158,966,267,156,792,561,628,823,530,142,926,466,756,502,
518,030,686,386,270,904,008,557,795,490,682,313,678,718,612,820,630,370,495,
433,906,128,721,687,533,421,220,950,646,637,143,359,239,743,082,570,105,328,
013,701,347,063,540,321,673,645,007,735,879,817,052,065,981,770,398,452,068,
751,086,649,631,220,858,649,129,557,385,283,274,540,309,613,470,734,446,790,
358,509,484,763,895,632,479,110,451,204,169,375,923,999,570,082,322,789,997,
290,386,871,564,201,154,468,297,211,347,189,401,623,916,728,218,135,501,375,
795,820,044,022,935,799,053,081,177,080,704,258,563,705,154,161,998,137,971,
574,580,210,918,088,145,343,262,517,181,046,378,710,451,713,398,716,433,105,
075,634,648,771,341,638,526,681,375,718,435,799,532,776,971,388,721,692,013,
288,495,412,766,117,073,061,461,208,773,671,969,008,225,747,533,028,886,377,
981,542,433,479,745,952,848,226,346,465,730,357,845,738,044,015,500,184,419,
658,628,738,570,009,263,348,478,313,442,247,671,592,594,024,799,299,026,852,
605,751,394,778,994,690,764,982,395,083,141,689,766,576,627,790,445,425,265,
867,647,189,030,750,170,118,046,679,468,135,594,523,662,423,788,437,506,169,
627,856,851,401,647,159,495,875,583,723,699,020,481,413,848,010,033,255,821,
484,264,366,601,435,393,569,419,091,075,887,898,864,434,928,319,336,006,660,
116,486,034,197,173,632,849,633,153,463,790,537,248,571,305,687,146,735,070,
232,513,318,440,087,721,006,224,346,084,787,550,366,906,317,633,889,454,554,
181,922,715,539,030,382,262,561,562,507,147,459,317,773,144,078,764,982,300,
194,926,767,062,120,726,669,235,346,958,411,830,570,817,660,170,349,631,884,
804,632,341,333,851,919,823,929,953,210,760,354,275,205,019,273,766,138,242,
208,379,391,520,671,545,300,379,285,438,008,544,013,947,549,160,263,212,120,
559,594,174,445,248,938,864,936,062,626,018,866,882,517,531,738,944,236,089,
512,522,334,125,121,970,395,548,430,886,718,664,019,430,819,650,446,823,945,
235,351,205,049,578,808,043,986,598,061,487,032,680,500,265,943,118,711,844,
953,066,064,262,100,042,986,941,984,844,154,417,321,410,623,497,344,596,925,
828,176,175,490,397,740,230,512,006,734,002,112,920,139,577,674,030,004,064,
634,334,035,793,375,617,656,155,454,613,812,369,738,377,019,466,071,258,040,
406,604,627,289,579,737,178,825,928,428,339,451,182,857,501,875,051,847,228,
747,516,795,571,881,127,839,902,609,099,668,022,153,219,245,657,823,220,006,
700,488,136,001,048,049,384,373,988,257,576,191,937,976,590,580,444,002,355,
462,680,721,556,509,924,662,075,305,238,098,858,282,305,807,126,816,751,285,
000,647,149,645,395,940,559,531,850,419,100,269,336,911,524,234,679,588,819,
581,836,904,120,313,870,484,751,027,789,591,667,414,989,067,660,619,450,020,
344,357,577,642,403,306,023,405,043,324,422,957,834,576,040,360,213,672,885,
631,879,665,217,800,576,052,107,407,057,304,037,245,809,095,890,594,950,013,
152,707,332,859,613,096,217,536,062,614,369,087,684,380,878,770,353,278,023,
563,581,993,412,800,641,421,452,086,238,361,408,576,520,092,465,264,494,849,
291,560,331,417,088,428,797,646,042,335,781,463,667,100,959,977,632,258,378,
731,438,626,620,533,006,919,341,438,634,828,931,472,003,148,217,565,584,150,
298,119,231,090,363,816,294,931,511,078,094,400,280,571,847,066,930,095,603,
685,511,260,542,915,196,212,018,550,091,553,843,382,603,660,680,348,707,772,
248,637,913,706,306,735,239,898,716,992,274,452,953,029,169,686,591,895,926,
999,728,755,204,495,405,462,520,905,388,238,515,169,303,342,106,928,412,813,
209,580,451,527,035,475,295,536,300,456,869,273,861,202,533,040,453,523,646,
626,267,016,466,048,998,204,837,370,137,938,725,405,555,470,948,340,139,104,
950,635,365,851,011,569,752,860,429,295,764,697,626,966,255,713,163,024,613,
821,659,842,404,370,226,469,533,875,469,825,842,465,733,735,633,737,368,951,
450,221,807,126,042,661,830,849,484,873,371,900,575,740,744,372,728,867,677,
132,724,008,496,498,844,456,558,578,235,886,903,154,625,115,095,993,747,749,
948,367,504,182,664,325,562,462,496,358,540,215,938,773,713,705,390,334,776,
544,205,871,364,698,258,230,071,651,237,403,311,608,905,074,447,744,912,208,
597,094,497,495,576,947,647,582,126,709,364,213,839,623,929,669,705,774,669,
043,417,124,865,806,698,314,041,838,330,396,245,919,248,064,458,863,025,722,
263,942,281,249,924,213,888,227,158,918,765,567,790,854,726,077,969,841,207,
721,792,604,470,599,573,263,467,294,031,761,921,526,787,161,452,973,322,908,
915,907,494,791,449,742,504,865,906,303,923,620,935,052,244,422,542,355,120,
103,743,857,305,461,718,081,716,941,815,288,684,851,230,144,093,006,521,557,
417,206,746,889,576,113,365,742,459,962,868,915,388,087,120,342,881,483,063,
166,548,887,529,644,660,453,065,460,055,917,301,310,730,667,559,712,935,180,
147,827,154,399,511,982,212,550,417,205,674,884,422,896,675,867,239,899,518,
003,042,132,291,249,925,693,515,023,670,005,105,206,871,796,118,743,576,311,
085,923,372,373,724,453,943,889,937,743,903,394,897,897,916,519,453,281,613,
295,866,027,278,278,414,587,234,303,786,657,422,695,467,658,307,454,089,684,
440,393,308,275,826,375,759,834,016,704,008,738,256,133,706,164,319,370,077,
568,451,441,804,514,217,505,862,576,821,834,211,866,429,564,054,476,665,363,
744,338,470,464,029,554,543,060,152,697,632,096,795,718,239,883,171,231,544,
371,193,939,776,945,932,791,763,774,531,834,250,051,068,005,713,457,928,381,
015,129,317,128,296,532,905,752,906,123,668,272,455,053,002,255,949,301,659,
162,128,794,843,210,849,067,982,999,666,753,823,043,609,384,265,730,189,331,
252,450,055,691,860,574,722,075,547,188,822,671,749,446,101,006,360,299,120,
451,304,684,461,214,953,051,706,642,818,037,939,019,265,475,432,632,276,056,
961,339,092,310,668,631,020,596,133,653,169,284,579,561,267,953,300,848,585,
121,518,854,140,654,394,728,135,644,358,421,578,236,788,242,748,367,980,997,
820,916,454,164,426,480,863,461,420,637,666,533,600,880,027,243,206,210,261,
762,704,577,064,789,066,037,678,099,660,780,942,353,521,688,475,443,136,421,
165,034,709,596,910,297,091,750,575,496,201,170,971,276,871,953,296,567,927,
760,620,314,782,232,125,117,148,157,981,771,471,612,575,846,392,138,380,426,
942,623,360,969,162,829,022,468,076,647,018,447,504,924,907,400,328,411,413,
190,641,279,210,994,590,534,051,444,479,091,980,028,451,206,486,676,151,874,
876,455,751,736,865,636,580,848,510,694,560,430,962,657,590,268,261,486,783,
197,699,199,868,735,210,997,626,702,776,319,447,506,110,095,205,787,024,241,
756,210,671,769,593,192,195,628,454,785,865,419,458,936,690,854,091,168,000,
060,538,575,809,128,866,410,623,517,438,659,591,076,674,793,380,283,113,126,
547,045,365,852,343,011,302,121,272,580,817,089,745,271,725,349,652,492,888,
619,027,434,482,960,115,066,817,188,581,830,410,874,012,963,174,161,888,964,
972,037,785,326,681,610,785,835,006,244,706,162,167,004,088,162,727,103,390,
519,233,454,221,139,763,801,726,058,638,828,262,753,718,835,196,054,978,191,
024,274,599,260,649,267,737,107,750,758,049,795,801,770,907,708,627,994,175,
090,660,642,818,326,682,680,525,301,239,120,320,296,852,084,848,259,415,518,
518,713,219,403,395,934,582,641,426,854,284,878,699,937,287,862,063,833,740,
028,926,706,558,746,203,207,580,716,487,287,257,793,915,974,625,600,949,127,
900,516,958,281,581,253,915,221,887,828,473,123,075,512,108,633,486,391,866,
232,682,852,075,303,803,682,956,827,033,289,511,318,794,892,992,372,473,842,
834,777,715,486,620,463,797,173,052,684,579,649,309,608,229,004,808,895,027,
933,746,950,839,605,108,446,991,903,717,325,016,860,849,556,671,276,762,989,
198,445,114,795,492,554,067,265,093,793,287,560,750,616,938,931,333,685,039,
434,302,919,580,613,512,643,451,477,014,112,951,886,481,123,002,167,819,046,
703,973,096,079,243,573,728,842,542,890,296,649,669,106,098,271,279,383,701,
426,504,815,929,528,210,887,293,266,135,338,121,795,626,578,929,110,819,255,
697,849,639,821,441,204,748,104,498,873,771,568,862,722,736,612,499,095,251,
076,135,252,692,820,000,832,594,244,874,034,318,734,693,701,723,466,186,732,
776,073,107,858,439,972,023,217,403,498,493,915,135,217,223,521,397,137,167,
366,363,829,303,968,490,614,572,544,433,373,630,607,536,785,774,201,751,399,
056,954,767,813,072,530,741,738,025,318,300,959,610,845,636,654,727,301,592,
507,171,719,532,423,386,603,443,093,112,928,005,577,000,487,026,944,374,032,
731,128,718,223,913,192,253,898,106,544,720,755,979,742,918,199,663,227,254,
735,121,049,151,232,871,832,646,572,911,634,345,478,809,656,263,972,674,825,
959,021,740,516,431,004,418,539,053,199,538,857,495,135,435,461,353,264,923,
767,200,604,287,485,413,454,254,457,832,901,016,136,382,945,459,972,726,389,
659,963,582,379,335,871,368,763,591,647,622,271,072,839,530,916,873,546,865,
565,456,717,448,292,375,790,485,008,705,409,552,429,769,164,581,146,451,106,
986,499,366,683,820,344,731,468,852,906,021,107,684,621,236,296,659,444,505,
144,327,559,360,434,474,667,255,618,360,650,907,627,943,537,275,467,935,059,
074,785,955,643,492,991,708,185,521,128,104,037,211,459,259,521,032,050,479,
213,947,419,790,881,393,126,294,691,035,467,790,954,877,465,983,756,408,164,
690,983,532,389,970,780,768,462,130,280,393,420,647,630,675,138,452,677,686,
374,689,985,952,655,966,716,638,769,436,244,165,930,507,198,579,208,481,938,
178,876,830,563,233,066,846,596,577,041,703,131,461,984,880,937,937,479,609,
279,970,363,511,894,500,560,771,448,894,640,608,890,229,018,420,142,619,990,
676,995,305,729,668,257,939,031,232,251,366,247,935,611,399,221,079,067,498,
875,244,737,984,756,512,568,659,438,334,430,775,342,602,934,792,990,602,243,
403,805,836,013,213,200,574,415,166,960,615,772,924,845,571,172,086,627,996,
531,913,502,733,997,440,193,665,608,777,796,642,970,498,894,883,248,389,225,
951,433,839,475,489,716,339,836,562,845,336,418,323,369,453,531,766,470,894,
335,437,230,988,784,581,604,179,477,061,381,477,565,599,347,894,932,621,245,
698,615,625,571,784,730,713,442,348,522,438,189,217,221,260,175,150,879,953,
872,855,867,322,187,326,012,823,329,001,415,043,689,540,220,628,166,489,179,
193,686,355,127,376,362,824,782,259,099,702,423,896,016,189,244,507,776,087,
979,795,433,822,995,684,632,556,388,801,639,632,507,282,119,562,355,160,940,
276,036,982,820,916,082,922,419,155,100,580,303,510,444,321,035,890,891,853,
603,230,518,760,193,896,510,358,852,850,617,995,576,259,066,136,217,063,486,
544,995,669,629,120,214,211,422,253,819,394,427,449,853,021,986,498,560,280,
682,313,467,987,122,871,284,185,318,568,377,837,256,832,198,122,063,214,136,
934,053,023,599,210,478,532,158,491,812,165,058,398,898,643,776,588,724,226,
622,580,987,852,282,732,544,294,278,841,258,086,794,053,375,846,525,543,385,
416,258,743,492,325,629,987,417,519,784,415,821,802,509,730,908,568,469,031,
530,390,397,077,625,348,865,703,273,808,467,096,030,933,492,413,169,448,884,
573,352,227,715,866,654,230,335,110,724,659,754,450,972,614,412,106,314,119,
546,131,781,304,454,264,487,986,256,991,950,483,388,893,632,545,473,678,190,
813,919,415,655,003,962,573,581,094,354,102,692,268,858,136,373,576,553,124,
860,618,413,424,076,205,849,419,292,412,037,278,288,218,852,529,122,434,033,
514,930,557,149,294,748,499,970,746,575,666,305,397,609,589,069,996,020,854,
159,552,186,935,871,405,014,809,018,913,343,774,579,318,681,131,996,503,320,
979,310,109,192,043,735,567,480,299,678,557,805,209,318,438,817,135,636,334,
180,672,163,328,033,232,779,429,730,373,791,067,048,173,578,604,215,182,576,
503,583,414,673,277,091,305,643,307,431,680,912,498,182,838,215,632,118,619,
244,566,523,412,037,643,652,496,354,344,372,213,299,490,800,171,732,811,241,
518,856,570,245,475,277,844,119,785,226,150,561,628,260,697,572,237,259,739,
273,672,815,366,407,481,180,470,741,654,352,903,260,241,170,101,335,305,624,
031,487,968,989,059,330,520,702,398,771,824,617,286,262,890,730,841,627,118,
016,482,727,375,690,074,299,217,191,516,696,415,357,938,691,046,703,395,757,
002,322,195,087,293,555,238,257,561,402,782,051,603,926,798,103,870,082,741,
871,703,065,512,881,012,578,633,865,689,036,638,283,450,101,426,477,659,183,
163,423,887,157,528,306,172,204,876,493,499,219,405,409,884,491,620,362,250,
237,353,228,972,481,268,957,909,293,116,517,464,667,262,671,215,145,747,821,
296,501,212,438,328,440,067,454,802,511,398,418,447,809,230,684,627,724,149,
617,338,331,009,178,077,320,029,505,664,675,482,997,717,469,519,869,310,012,
961,162,065,477,255,532,180,167,007,418,963,778,323,298,901,912,276,960,904,
815,444,483,212,696,039,210,290,756,125,511,376,370,518,461,176,656,567,905,
631,040,663,757,998,192,351,784,873,973,616,904,818,684,100,073,053,901,741,
569,855,358,552,735,206,358,242,021,997,033,572,352,160,182,163,170,117,983,
265,958,448,790,289,426,217,512,143,533,149,052,634,987,803,041,009,933,025,
750,634,313,168,353,802,262,443,381,208,129,433,093,325,120,446,098,027,989,
846,336,688,122,293,972,909,504,874,823,433,446,114,944,876,241,745,516,299,
069,229,702,757,459,065,184,238,206,764,897,013,592,481,497,395,253,577,602,
602,658,431,473,707,380,861,607,489,620,613,808,957,331,840,027,732,231,477,
865,814,626,095,479,156,777,875,569,929,237,204,684,165,013,895,936,330,016,
569,079,903,322,007,288,261,710,995,323,784,904,084,513,247,186,372,470,248,
217,857,588,427,817,011,712,913,398,196,050,096,710,170,702,069,951,419,843,
921,172,285,975,093,914,882,930,905,766,618,655,966,855,795,500,448,198,912,
884,742,894,413,661,127,755,029,671,133,825,728,056,154,909,581,924,271,157,
291,336,174,570,028,223,841,444,780,646,868,208,827,960,615,432,627,082,214,
847,673,137,886,501,927,074,377,493,056,913,234,101,647,805,765,647,611,230,
965,124,321,436,936,698,188,583,055,966,966,331,413,410,243,719,543,201,957,
846,722,860,261,977,230,728,855,743,294,389,265,328,105,978,084,086,286,625,
714,012,318,247,517,403,736,717,512,624,134,607,461,244,376,003,040,361,274,
487,607,455,204,746,504,793,264,563,916,106,024,785,905,612,577,253,444,996,
459,912,185,099,238,797,714,487,084,045,659,191,983,207,435,276,973,961,178,
085,389,650,361,087,361,703,969,900,456,434,977,390,655,997,958,424,784,537,
511,686,011,495,278,337,735,801,297,583,535,194,131,787,992,870,138,756,791,
861,321,538,593,207,814,073,770,963,020,031,326,793,609,516,540,626,515,703,
466,016,160,546,077,383,329,174,871,793,220,226,418,660,000,339,646,008,461,
727,524,371,842,030,342,158,078,678,141,501,569,613,448,926,474,355,865,251,
426,433,094,847,861,741,623,602,493,624,641,673,787,412,553,338,517,253,803,
975,632,823,029,406,882,162,748,032,297,510,258,626,715,588,537,603,375,766,
225,603,158,977,283,059,734,653,718,028,158,079,535,473,835,334,534,790,330,
368,349,395,739,690,395,009,285,849,398,817,827,233,637,192,064,025,654,760,
525,654,442,685,552,226,115,108,839,722,425,693,234,347,113,369,947,546,420,
007,327,762,075,138,179,840,628,395,909,091,130,650,680,060,399,848,475,875,
243,310,498,299,166,018,691,215,311,103,940,960,725,865,294,485,289,335,650,
077,099,428,844,767,754,857,678,516,078,356,983,852,155,729,162,647,612,781,
036,010,519,597,715,484,936,147,123,360,841,527,616,692,990,771,905,737,180,
091,817,629,724,830,383,700,744,574,241,744,371,392,009,841,589,390,995,235,
987,905,557,205,108,557,434,162,483,631,585,135,373,347,152,164,146,585,592,
075,330,569,825,992,713,413,120,278,596,524,143,789,483,508,591,722,614,835,
282,291,342,057,192,198,930,185,195,416,214,581,550,350,529,136,896,893,641,
368,279,727,607,518,734,101,301,498,425,252,011,620,751,604,897,679,638,030,
331,621,238,283,709,816,010,060,260,547,164,903,006,983,451,747,234,456,989,
593,199,348,108,394,014,310,163,959,033,888,217,192,250,741,585,512,068,328,
420,526,776,977,549,327,968,025,279,066,927,349,301,784,506,456,143,519,018,
764,379,445,365,256,791,813,764,590,897,580,555,525,827,778,998,977,390,723,
835,795,491,169,393,362,590,052,886,167,116,464,261,640,549,070,063,868,721,
270,496,164,336,729,198,425,744,882,428,847,205,562,285,798,295,239,154,846,
274,939,945,137,496,410,709,362,701,561,926,627,009,979,002,594,615,489,429,
088,197,905,843,281,458,039,017,513,575,364,536,306,877,570,298,934,486,907,
442,267,599,732,090,175,647,502,244,897,504,107,437,874,947,750,098,504,409,
424,253,513,105,531,910,337,455,273,738,061,738,188,647,376,789,464,113,805,
903,759,582,568,898,679,653,955,951,883,534,663,649,104,278,386,379,522,079,
908,906,902,260,180,081,435,257,963,870,271,775,488,735,524,357,151,565,852,
398,990,355,406,577,976,990,186,521,600,375,006,689,751,876,747,192,041,567,
758,088,109,796,155,562,062,637,553,017,840,477,925,134,940,461,788,699,128,
091,121,654,505,184,137,071,192,059,893,719,898,166,686,619,951,705,976,976,
798,455,360,630,038,926,059,728,123,734,883,205,071,006,713,680,178,985,658,
051,449,186,233,745,862,644,270,026,789,033,556,399,555,961,563,696,768,512,
488,229,827,080,257,869,688,437,912,322,320,810,505,138,161,520,001,153,178,
313,675,201,183,520,079,837,325,729,213,581,003,121,767,402,715,606,771,470,
896,184,768,335,736,532,041,077,692,644,046,705,264,534,819,453,372,313,904,
475,189,882,133,007,966,628,367,328,915,914,836,950,245,348,618,197,347,820,
127,031,149,728,568,445,280,819,034,945,759,116,065,052,996,810,268,862,419,
348,854,608,289,298,294,634,033,179,307,947,004,197,513,519,438,706,175,804,
996,973,114,078,382,075,055,102,581,804,470,063,550,251,069,084,896,237,002,
624,945,500,449,187,775,898,049,445,630,999,814,097,892,371,423,674,651,082,
874,023,632,520,559,442,923,927,027,756,282,508,425,180,930,914,019,025,235,
677,967,623,351,348,489,183,552,398,366,667,280,537,407,606,199,515,679,323,
271,604,806,552,530,353,689,020,884,745,794,610,836,548,172,957,736,759,960,
253,710,306,753,995,750,724,626,444,532,200,884,657,438,558,840,222,342,364,
565,432,390,756,070,235,096,382,975,927,428,902,022,517,061,590,062,734,082,
455,343,823,130,749,576,456,231,595,368,706,489,333,574,328,768,612,836,467,
494,552,039,765,478,424,917,576,318,315,572,637,720,529,087,146,254,614,802,
530,469,943,978,283,260,649,863,155,112,264,769,724,941,543,480,827,113,574,
612,777,800,913,126,007,674,269,770,739,890,501,738,027,503,183,523,707,623,
354,512,996,465,360,003,676,884,537,774,770,810,329,360,011,793,379,348,277,
261,190,308,864,954,118,641,091,647,051,886,631,428,314,327,580,186,422,658,
789,633,613,182,894,261,065,593,664,077,627,535,888,875,851,061,852,829,520,
685,546,919,496,777,292,058,932,770,376,085,133,404,113,755,567,644,380,459,
204,951,692,804,423,194,469,328,559,747,997,402,491,519,523,871,342,232,114,
518,491,306,262,470,327,699,022,908,060,176,689,589,192,616,729,347,595,158,
813,950,159,928,596,086,660,580,312,337,953,656,208,315,379,914,199,095,318,
657,752,280,994,607,136,253,995,565,218,460,220,717,024,858,984,736,556,323,
259,014,122,202,595,794,725,941,262,706,725,774,490,605,983,775,241,176,337,
587,232,678,969,116,852,002,797,784,072,564,360,390,396,239,057,487,509,698,
036,122,117,659,852,064,056,954,123,843,485,168,030,263,398,122,548,342,859,
584,947,762,534,044,797,678,637,473,712,438,934,115,049,631,825,761,090,592,
228,486,992,311,562,686,524,413,911,468,112,829,735,915,101,269,868,370,277,
761,210,051,512,309,182,861,777,985,513,982,347,073,338,069,402,940,678,582,
465,075,281,182,173,838,471,028,413,410,908,420,383,739,505,259,465,637,310,
275,056,250,051,083,342,684,123,263,199,498,361,276,950,118,423,536,605,779,
281,773,582,511,815,092,725,897,414,648,495,548,564,410,125,038,229,006,819,
188,634,534,892,425,185,490,216,261,500,311,294,439,951,353,194,459,824,481,
421,145,861,562,764,777,773,535,565,294,736,555,869,877,708,028,949,459,113,
660,227,766,330,559,829,293,992,333,331,077,554,401,978,958,660,058,301,583,
622,888,977,402,867,599,451,196,025,891,783,136,693,798,333,906,210,670,850,
637,309,523,852,880,483,571,500,559,795,388,856,801,660,655,224,739,087,938,
550,617,985,006,566,505,749,917,849,542,465,727,810,968,270,549,197,174,116,
713,601,369,368,540,576,200,000,911,875,134,305,252,640,132,398,942,380,958,
703,346,441,728,140,991,611,990,951,554,787,233,789,055,824,382,363,223,320,
416,965,037,604,605,894,383,116,222,905,963,465,998,658,259,469,785,802,972,
178,752,014,972,270,450,622,549,602,694,239,757,942,231,221,854,695,282,935,
279,882,875,109,847,309,544,124,275,903,477,130,092,906,582,153,920,042,893,
380,590,415,313,318,075,989,273,215,425,469,463,121,008,558,167,277,632,565,
576,980,981,026,324,373,142,068,515,109,675,215,767,341,602,093,759,012,346,
640,974,138,709,624,214,985,837,935,045,100,730,882,885,317,811,622,370,158,
266,209,612,756,102,424,994,088,674,378,640,330,148,267,089,427,148,786,656,
919,518,209,386,692,745,176,245,314,711,883,180,149,552,245,178,755,801,744,
662,048,208,837,672,852,207,783,762,676,666,091,326,325,190,393,157,603,277,
326,951,074,404,241,712,297,898,337,707,963,585,438,482,680,638,930,836,351,
913,792,744,360,404,069,866,928,167,655,949,195,332,964,298,304,548,238,163,
271,583,881,782,775,212,572,985,594,989,069,735,523,881,025,600,153,572,303,
744,403,716,384,041,770,817,983,209,504,142,020,216,474,415,787,431,634,303,
205,064,073,611,289,191,626,478,722,354,866,414,138,594,076,175,753,522,993,
927,480,697,029,128,137,241,061,945,011,516,934,242,864,548,490,469,552,583,
322,556,074,083,703,906,989,490,885,960,645,860,179,728,007,245,863,689,817,
364,317,322,865,978,721,557,148,369,540,539,571,807,092,026,616,414,712,528,
305,104,969,070,278,707,961,326,626,637,446,645,052,048,659,106,921,887,295,
605,681,897,265,718,719,809,480,916,259,819,114,033,473,626,087,338,466,591,
044,199,864,099,163,969,099,711,876,998,452,660,289,074,006,087,948,891,115,
858,717,689,688,607,033,151,873,738,491,797,524,969,526,100,137,835,108,792,
079,257,191,081,989,976,984,497,229,279,933,060,284,175,959,508,217,792,238,
751,138,150,494,973,099,382,277,174,784,659,043,893,103,322,531,706,000,727,
232,383,984,693,566,807,262,085,135,822,756,052,460,720,983,430,720,920,593,
442,549,871,591,553,798,015,512,347,706,016,248,432,555,873,100,679,445,366,
536,074,665,316,203,936,715,867,639,343,733,783,432,753,526,416,114,472,416,
722,974,896,242,386,586,353,814,533,071,772,975,522,556,352,986,364,299,273,
881,082,509,669,398,847,193,291,860,519,920,770,549,521,796,801,072,608,106,
622,989,902,343,564,958,287,826,815,625,701,908,723,411,789,574,661,284,758,
207,481,280,836,809,721,511,168,288,607,625,965,604,322,879,134,869,324,183,
843,338,699,072,516,354,400,062,081,961,537,827,494,030,462,342,847,566,574,
865,895,088,218,444,664,837,279,773,411,955,447,391,170,086,656,661,457,954,
559,681,379,759,063,230,624,202,436,137,256,282,850,683,616,422,978,127,337,
444,012,188,351,244,299,200,356,465,842,432,066,072,782,886,321,346,101,613,
988,835,231,231,090,733,631,068,874,402,372,850,766,400,288,100,824,295,893,
543,115,489,624,771,045,552,945,402,291,833,959,337,185,477,815,945,763,599,
581,711,434,812,728,379,824,899,227,030,329,340,577,914,559,150,594,084,390,
979,195,733,401,759,998,753,989,932,035,016,146,888,448,374,146,486,419,651,
892,237,204,247,474,746,457,521,625,377,680,340,564,995,827,891,112,559,614,
338,581,754,913,602,417,590,914,671,090,696,705,821,285,423,797,856,537,979,
837,313,314,296,981,908,737,900,426,055,659,693,603,655,776,441,082,094,804,
775,668,090,034,729,243,273,017,993,592,520,387,040,039,726,433,498,581,684,
251,532,853,388,660,597,206,974,474,406,393,299,395,736,894,960,782,868,280,
120,780,162,339,860,200,301,901,805,879,846,675,157,448,088,937,363,009,383,
313,633,075,396,953,717,247,448,161,390,034,447,747,486,814,063,366,349,166,
714,163,202,884,902,577,445,484,711,222,499,432,066,018,769,122,455,378,812,
047,463,543,436,584,115,952,874,845,550,150,888,620,417,821,664,124,274,122,
894,110,655,328,290,709,944,517,966,633,265,778,621,328,641,316,793,505,930,
464,612,270,269,734,608,542,601,339,911,422,261,658,122,598,447,157,631,845,
652,681,541,070,987,871,664,703,688,254,972,147,486,336,623,828,649,658,733,
131,703,063,870,071,371,549,495,720,329,981,772,031,976,087,196,406,609,700,
211,281,886,657,336,105,895,791,500,404,012,126,655,413,471,100,315,943,844,
641,920,481,064,813,656,975,145,481,203,320,497,174,054,145,951,707,350,937,
980,680,036,989,190,299,728,317,171,148,190,663,347,431,346,284,737,623,764,
022,562,153,849,162,274,948,593,468,743,974,462,264,950,250,380,338,463,701,
101,238,677,382,827,811,390,688,917,874,238,121,201,107,468,579,666,774,635,
149,340,396,560,283,838,696,843,800,069,014,408,185,705,710,960,488,878,488,
505,172,787,755,777,719,408,990,443,342,683,661,287,935,346,735,248,047,749,
035,837,321,839,301,873,097,322,014,876,162,969,676,580,883,796,926,371,564,
324,489,850,861,522,918,858,214,959,092,851,799,080,054,240,180,045,329,480,
559,266,396,312,006,350,240,187,454,330,026,762,539,809,146,515,797,201,218,
012,769,420,567,059,183,182,380,683,080,373,880,953,598,593,146,034,050,176,
897,023,872,283,103,526,559,146,151,489,082,773,389,593,544,726,482,687,173,
159,491,143,247,838,628,780,071,072,277,487,009,972,791,817,226,008,911,427,
709,453,967,932,236,918,684,675,659,686,495,550,643,373,158,010,688,061,368,
485,246,108,365,431,639,891,939,485,495,821,881,814,984,723,779,382,138,634,
933,342,467,450,072,224,058,189,773,820,455,908,371,131,894,919,611,432,260,
581,352,271,248,681,663,413,111,586,630,584,227,495,662,851,253,815,097,504,
428,444,739,405,287,976,282,707,220,377,826,401,285,005,167,848,113,802,340,
383,971,617,771,991,564,416,370,211,716,768,863,403,101,710,761,025,427,654,
570,694,314,884,903,735,242,727,518,205,234,976,265,627,803,741,400,477,852,
889,791,304,110,230,405,797,754,208,666,216,873,232,024,162,378,516,999,263,
716,284,390,063,609,809,875,171,505,036,272,658,463,928,927,251,854,639,688,
622,165,735,447,810,794,730,033,821,958,960,284,685,743,011,721,775,555,736,
216,759,363,318,709,941,456,937,510,062,415,010,289,305,465,279,051,020,353,
108,653,365,584,212,895,930,199,834,363,342,011,567,667,743,764,920,528,852,
757,425,517,862,509,484,435,922,212,859,303,818,752,551,588,964,594,597,951,
843,758,438,401,148,437,021,376,621,993,932,417,137,229,977,017,407,555,285,
974,799,440,973,459,109,027,034,875,274,853,496,334,930,615,564,173,801,321,
412,105,796,421,440,434,480,650,158,822,142,237,207,829,459,453,068,049,981,
533,379,632,356,489,154,642,915,176,202,932,561,114,666,866,878,769,354,718,
084,836,648,301,821,593,577,427,473,246,371,723,654,336,354,663,203,139,297,
835,783,086,973,143,821,356,625,701,168,435,371,663,107,588,045,186,833,016,
255,361,124,606,780,123,228,489,460,725,999,908,123,851,074,360,782,817,855,
160,297,633,650,332,660,470,381,005,141,594,149,017,814,487,633,599,517,724,
531,172,167,988,021,866,966,701,446,156,317,858,192,329,495,134,367,188,959,
484,819,226,329,878,717,900,961,160,235,750,459,015,448,001,413,987,255,869,
533,552,137,049,795,402,243,573,627,698,649,958,970,693,550,165,846,092,161,
444,249,996,147,199,522,588,364,408,447,390,180,143,919,383,880,430,604,136,
190,357,271,501,336,830,598,046,176,364,570,856,922,216,501,765,523,461,200,
928,131,517,391,593,025,915,167,591,238,663,022,895,783,112,584,016,889,934,
645,590,810,274,418,261,594,407,344,567,751,208,379,855,567,284,087,128,443,
431,321,669,310,029,743,284,694,247,070,048,732,525,287,467,484,618,610,884,
383,950,921,979,570,642,185,297,950,179,207,220,856,704,481,781,266,057,362,
529,189,549,945,605,042,121,457,663,225,533,545,360,138,079,087,645,053,069,
679,534,576,501,843,813,057,341,427,266,530,837,478,427,596,355,987,540,705,
025,143,661,040,060,171,490,564,315,596,219,973,746,113,253,645,646,371,499,
781,850,224,764,239,911,073,931,671,367,002,260,431,091,441,425,776,742,540,
267,247,179,989,963,569,432,305,943,410,897,201,966,014,475,004,544,202,801,
518,845,788,120,252,607,581,658,041,885,907,184,632,840,229,769,267,919,665,
328,366,204,910,567,511,495,605,401,108,555,681,313,812,776,619,675,019,004,
942,639,358,168,161,276,817,506,650,779,972,888,364,731,582,181,471,992,238,
104,013,740,154,885,021,900,930,979,571,136,243,011,409,604,551,886,247,196,
223,354,294,027,206,495,905,425,788,853,939,154,845,849,143,807,510,789,740,
152,764,786,601,367,089,379,020,548,078,585,048,924,202,805,875,217,071,559,
120,165,159,606,854,905,252,331,052,654,550,881,030,314,690,380,066,657,474,
838,932,874,698,368,692,497,868,466,678,793,580,157,349,289,199,275,037,021,
574,270,069,837,220,715,063,606,598,955,914,297,047,798,624,478,461,152,800,
891,719,835,631,031,569,211,034,045,927,339,246,065,617,367,747,339,366,422,
693,038,645,247,380,533,167,143,300,336,586,344,961,188,272,354,288,418,434,
343,959,723,071,045,745,201,518,816,613,471,241,017,612,111,692,169,096,718,
053,093,146,819,561,117,561,126,872,175,729,229,131,170,952,395,906,538,302,
214,768,544,578,051,932,309,259,761,688,700,229,797,307,607,905,668,195,378,
643,092,860,874,814,557,117,465,133,426,628,809,236,745,150,544,763,536,891,
330,196,532,690,478,386,840,227,437,499,727,461,147,280,498,567,744,819,692,
847,157,052,554,500,361,621,302,461,587,219,916,526,523,167,104,734,495,959,
273,485,414,105,731,869,676,083,563,218,280,057,156,470,344,056,500,264,674,
000,763,262,597,469,608,962,194,010,682,564,885,708,411,333,317,684,879,555,
439,189,937,597,522,947,116,558,777,044,169,981,275,469,694,612,683,205,612,
706,949,591,519,560,164,066,203,489,660,994,600,503,850,262,965,895,351,326,
196,467,980,757,391,495,777,081,151,387,002,093,592,436,840,914,608,966,983,
220,608,350,191,245,154,755,566,180,597,344,427,116,693,441,117,830,916,167,
468,621,840,713,252,271,306,586,446,946,684,226,021,481,186,019,158,934,107,
214,520,401,605,970,011,783,423,427,107,615,149,525,945,845,095,009,113,134,
811,761,053,318,915,002,215,300,967,134,191,479,200,553,251,113,822,209,960,
574,973,641,873,198,482,033,015,920,772,490,907,598,609,158,346,843,117,066,
996,780,515,965,253,674,297,364,750,395,732,618,584,374,753,058,125,485,159,
273,713,212,720,034,994,880,646,941,513,059,397,235,551,690,476,024,572,870,
420,273,736,167,048,556,810,636,535,672,502,962,511,193,917,298,580,305,271,
787,860,688,175,367,945,162,622,187,250,287,853,628,639,882,708,041,549,864,
621,803,940,886,390,773,924,331,212,188,240,915,875,074,945,643,529,048,922,
763,691,060,603,533,132,004,227,610,231,607,897,167,370,960,625,866,451,087,
374,097,832,749,906,267,919,103,666,221,630,197,868,746,883,347,117,876,802,
927,339,711,765,459,402,627,274,582,294,064,500,885,862,881,132,159,040,314,
415,598,070,582,982,436,515,571,236,595,714,593,189,096,510,571,416,526,808,
343,520,920,522,216,665,183,581,803,150,661,776,119,042,545,319,714,339,984,
117,768,162,796,723,006,804,191,957,676,160,147,634,612,894,376,543,454,747,
431,140,834,682,024,324,691,912,137,849,439,923,404,456,507,698,366,796,437,
400,902,153,571,722,538,596,944,075,518,883,569,808,089,787,690,368,449,475,
416,302,039,983,591,015,797,068,504,227,953,491,519,756,197,909,721,993,216,
929,498,820,707,313,392,662,674,096,933,911,534,081,045,568,968,425,985,639,
493,798,688,658,154,560,459,466,458,020,157,959,821,580,090,958,335,246,283,
145,659,037,563,071,858,742,384,289,669,231,461,304,667,658,736,336,538,171,
698,341,734,096,155,338,793,447,001,090,503,869,353,258,314,929,323,351,504,
452,104,053,840,736,300,948,466,452,552,381,576,313,831,319,067,103,149,314,
304,393,991,874,399,988,487,474,996,783,379,579,226,541,518,822,579,015,066,
320,941,360,187,659,905,698,282,023,509,012,008,089,027,387,126,465,012,471,
675,227,405,542,753,489,217,195,459,551,279,322,057,173,580,441,743,803,968,
168,535,890,668,937,039,973,912,888,935,798,566,417,866,001,279,291,323,269,
058,714,699,919,690,524,320,722,546,282,104,179,687,195,374,942,631,747,916,
514,829,754,135,901,619,666,275,945,846,583,683,376,080,962,983,023,014,952,
366,832,749,913,592,407,652,019,239,178,548,320,284,078,455,499,314,585,444,
570,604,748,189,412,342,117,606,834,194,160,539,973,042,612,403,880,024,547,
924,156,193,010,181,256,584,221,073,358,428,985,763,614,076,930,956,967,625,
875,694,924,581,783,379,665,625,037,149,482,848,786,251,991,669,500,295,076,
610,684,270,073,207,393,671,811,329,673,162,191,859,489,393,887,016,050,484,
467,847,394,516,897,547,710,048,432,192,503,042,433,568,036,640,246,057,082,
237,851,526,254,160,231,868,950,774,876,602,229,405,137,179,935,737,132,485,
670,991,579,354,806,580,260,889,055,369,537,460,081,423,966,293,505,981,986,
999,375,021,872,338,638,194,663,868,646,672,779,242,451,654,244,448,126,119,
570,067,544,736,301,837,784,063,332,233,665,986,615,569,650,843,863,309,697,
286,595,991,950,338,748,650,874,187,317,115,737,951,582,412,120,660,739,969,
915,953,030,845,725,263,329,997,310,911,357,993,963,046,410,582,121,290,406,
464,016,668,221,168,559,841,155,565,145,951,499,569,467,582,010,502,060,490,
105,091,807,327,073,941,939,669,870,245,772,223,938,707,788,830,154,010,708,
581,461,633,538,795,026,024,939,555,946,832,147,320,696,783,909,484,263,649,
208,010,715,425,164,157,922,094,365,252,307,077,501,340,021,284,556,009,200,
408,484,703,234,268,118,522,738,858,200,145,898,586,353,719,784,104,771,562,
379,485,441,945,625,889,036,106,824,103,427,445,119,059,271,392,376,957,491,
082,755,411,381,915,360,411,161,421,975,844,987,499,892,073,589,645,983,006,
433,785,310,566,456,266,168,459,377,111,420,178,126,446,969,649,909,275,517,
635,789,650,816,577,109,102,962,463,431,536,510,165,532,511,283,755,618,356,
792,397,667,562,644,692,642,386,613,345,703,344,150,909,444,605,785,277,300,
330,101,315,383,539,627,970,357,912,089,662,445,342,578,618,103,201,724,605,
346,243,524,870,892,269,643,879,336,935,598,482,781,985,526,472,350,567,400,
141,155,450,780,157,846,407,383,649,801,851,770,644,711,845,449,682,822,017,
860,400,676,410,196,203,277,793,711,982,409,904,172,228,737,076,565,520,767,
918,776,859,132,711,819,976,845,493,879,304,684,547,233,283,425,527,258,399,
072,468,253,591,557,927,538,745,121,694,505,642,248,784,213,715,931,701,018,
098,264,746,710,732,605,467,945,518,334,192,958,733,748,552,955,629,625,327,
208,158,763,357,772,494,750,006,779,332,202,750,606,859,441,702,916,170,134,
882,945,558,853,837,553,037,657,643,232,174,216,416,815,826,338,895,727,694,
590,347,173,607,403,772,242,377,075,879,737,635,681,400,005,181,560,620,544,
861,105,404,127,232,553,719,756,755,755,103,309,021,897,586,842,627,892,638,
774,388,775,683,380,230,615,616,666,086,878,305,952,835,779,478,874,624,640,
113,203,255,757,405,273,011,523,771,202,630,402,916,821,529,008,430,679,419,
642,436,544,349,365,004,943,374,840,278,938,771,884,509,355,402,954,131,367,
750,123,997,069,806,993,350,941,976,403,368,890,537,131,963,572,323,437,636,
238,414,999,222,380,444,221,610,309,529,596,495,326,284,441,535,697,637,953,
278,448,308,944,370,699,190,487,414,969,289,523,955,324,669,163,774,799,534,
127,762,825,264,420,485,566,573,820,337,811,136,251,746,963,502,384,500,926,
108,105,596,450,621,104,972,859,390,390,525,625,831,414,955,996,548,951,345,
684,639,500,775,881,976,920,682,585,888,384,236,268,876,916,941,922,455,002,
900,675,917,463,356,893,608,019,978,844,548,902,325,641,168,688,488,848,671,
817,415,538,236,345,251,244,798,691,392,407,274,384,467,021,266,464,963,640,
123,221,416,578,411,508,102,396,538,701,075,710,698,845,819,552,849,894,657,
214,418,719,677,702,535,792,110,309,846,902,282,234,200,325,168,105,817,566,
077,953,169,427,934,011,555,630,261,630,504,188,448,914,403,726,292,180,911,
033,311,421,207,677,795,394,627,067,043,072,483,960,675,556,911,765,443,162,
732,650,494,853,613,244,649,259,342,943,847,276,273,414,570,357,657,349,019,
653,734,896,872,829,791,960,424,403,034,816,430,019,980,509,191,126,371,558,
342,202,440,005,131,887,087,143,375,213,229,604,540,942,067,887,271,485,536,
364,326,219,455,419,511,063,614,250,911,137,256,036,532,258,093,669,443,087,
119,252,003,275,640,938,286,145,963,305,284,384,464,560,130,222,079,822,776,
213,422,608,363,697,613,350,292,251,780,502,024,792,710,648,002,947,211,232,
132,137,866,829,586,375,964,607,599,687,995,868,389,919,531,484,154,995,514,
184,270,210,496,729,649,849,270,934,694,947,437,000,572,917,476,993,917,492,
387,188,826,771,340,416,984,328,959,995,567,909,891,523,362,571,721,998,470,
304,817,589,657,275,616,625,938,287,582,271,721,744,916,352,566,936,052,267,
735,020,753,384,466,332,894,766,322,703,103,339,982,470,259,462,972,877,038,
875,315,624,363,007,343,809,094,191,437,685,317,362,796,474,088,608,581,493,
626,449,289,081,742,058,350,577,408,569,858,155,772,921,525,212,989,542,706,
659,505,816,278,291,068,067,819,040,000,006,913,725,126,840,607,357,553,187,
936,930,640,746,011,279,411,416,314,661,697,443,327,130,047,094,940,519,039,
664,469,272,286,819,692,092,391,759,675,083,281,194,538,501,915,739,849,132,
669,565,543,610,686,665,514,228,766,521,019,005,427,665,294,809,051,272,094,
607,757,386,415,524,424,140,887,752,990,332,620,232,017,255,824,644,017,971,
691,949,765,392,772,906,601,620,192,261,745,352,465,932,904,526,552,497,044,
639,219,965,079,216,488,003,571,291,639,590,890,205,732,201,141,783,041,658,
459,782,537,937,028,464,469,640,458,075,849,998,965,218,826,760,496,131,239,
419,879,668,749,498,174,565,004,794,618,758,462,132,889,233,201,519,322,800,
467,494,763,030,584,357,778,294,742,158,395,197,867,551,168,854,493,179,368,
762,042,434,103,718,264,655,144,234,957,273,833,963,763,420,412,999,547,878,
071,737,664,080,296,165,422,097,415,577,915,384,805,405,179,201,927,998,727,
290,255,563,989,595,186,187,980,110,393,629,130,412,438,738,060,910,313,626,
321,057,688,317,953,655,628,534,182,693,509,084,138,438,258,087,359,972,437,
946,528,321,273,140,599,404,891,492,732,440,014,345,575,271,242,844,221,583,
920,379,326,847,241,271,189,520,985,940,162,660,463,729,245,413,028,128,371,
294,800,258,889,708,180,426,772,401,724,741,748,581,068,910,800,073,175,199,
036,298,226,499,431,388,224,675,593,495,206,657,511,937,739,717,604,768,614,
446,460,522,601,651,722,739,861,999,384,205,831,485,421,717,243,724,091,925,
658,840,613,664,767,247,841,739,362,252,593,358,108,535,672,875,523,957,697,
054,036,627,977,054,866,647,415,721,612,576,618,953,685,837,358,066,501,132,
821,808,118,033,629,302,777,457,865,630,503,332,074,706,338,233,145,605,286,
429,552,293,063,370,788,763,308,566,670,762,157,456,816,998,320,578,523,053,
763,313,540,687,262,854,172,350,879,871,742,206,199,606,343,353,737,272,594,
421,161,097,741,241,611,221,648,611,763,562,693,191,751,059,680,706,940,921,
666,513,953,903,893,238,204,383,194,406,008,859,462,232,083,875,330,470,717,
470,508,040,752,085,276,758,602,944,556,450,237,581,600,102,490,104,143,057,
498,581,573,603,638,153,084,138,139,209,205,942,637,080,880,367,596,539,949,
877,162,892,382,488,953,783,108,068,969,474,409,132,784,512,831,492,170,412,
677,119,914,035,588,645,829,846,415,942,102,441,591,453,472,605,708,550,632,
978,511,540,785,252,370,272,792,529,499,053,445,351,964,074,935,887,394,254,
709,372,818,297,635,183,973,767,142,634,213,238,998,288,882,398,209,517,386,
461,973,639,352,983,930,588,052,923,033,102,124,601,213,923,226,122,771,881,
813,666,915,278,395,823,979,844,327,080,177,249,277,236,943,991,176,910,574,
750,127,205,770,043,251,507,460,930,584,690,433,667,195,164,601,056,949,470,
887,923,199,242,626,011,941,097,099,418,146,399,856,968,185,762,265,312,640,
383,184,372,128,642,424,032,877,553,121,756,747,088,262,102,287,143,361,329,
407,117,167,322,198,779,575,367,324,141,485,121,947,398,316,629,199,702,952,
213,641,444,675,146,288,772,243,833,313,876,096,250,224,145,606,805,416,025,
324,366,632,570,005,485,761,672,479,110,268,042,904,192,151,895,875,048,980,
977,825,792,434,691,487,902,505,676,299,207,591,883,248,041,887,488,759,783,
207,340,365,809,994,585,817,829,796,888,321,597,621,559,047,302,995,907,018,
056,270,116,574,845,130,721,305,695,852,746,342,383,445,459,313,580,745,601,
835,865,676,976,470,675,000,149,319,448,510,238,329,238,493,705,609,400,708,
866,337,798,174,467,794,597,071,857,669,416,129,089,059,669,409,024,986,385,
005,344,924,712,513,099,164,711,044,908,765,150,027,344,861,143,510,381,992,
642,248,231,106,599,288,097,244,011,096,212,246,863,869,279,401,036,646,071,
941,290,128,467,352,436,893,794,411,492,685,068,621,763,828,273,853,206,990,
139,643,129,995,898,800,340,080,263,851,061,628,798,492,767,583,730,917,710,
605,285,510,964,998,957,354,424,167,087,098,142,290,686,554,752,291,485,312,
798,376,696,072,188,010,613,301,912,212,680,115,547,567,079,950,377,021,619,
389,588,397,308,652,173,825,902,784,591,389,257,391,424,174,931,172,411,370,
874,564,267,124,731,089,888,777,978,206,985,716,667,840,171,060,630,505,100,
590,619,609,399,545,803,570,588,971,190,644,030,297,857,240,251,068,198,342,
989,023,916,715,224,022,427,198,193,843,763,058,086,425,568,003,276,124,190,
879,974,523,743,325,782,003,749,151,993,756,416,919,634,705,572,327,575,725,
900,716,682,945,064,331,909,759,545,554,485,049,998,861,632,031,968,259,088,
257,504,858,041,219,443,457,619,143,348,516,680,726,297,667,676,160,496,555,
362,878,844,927,176,675,131,877,037,981,922,498,736,412,815,252,554,596,685,
308,794,181,424,371,835,887,510,760,500,879,182,708,216,384,805,753,885,744,
029,252,667,928,366,062,724,874,939,060,038,362,498,731,867,270,869,978,782,
933,794,193,944,091,098,956,601,747,599,111,602,628,797,868,368,639,749,817,
918,934,452,890,206,251,733,662,064,019,912,043,689,397,177,757,662,589,748,
556,847,774,580,377,374,148,214,481,535,150,071,114,687,516,888,432,555,261,
408,569,066,025,609,728,499,476,776,637,397,056,932,379,524,451,229,293,062,
175,565,854,514,179,517,215,312,883,604,251,262,002,742,890,883,907,639,209,
206,186,424,497,576,113,842,300,920,417,599,930,298,614,961,235,526,408,115,
949,094,408,927,029,939,653,365,428,766,137,368,860,331,511,223,809,709,872,
062,861,966,251,810,282,293,519,858,140,834,706,658,505,372,394,606,288,857,
911,968,646,344,482,090,705,999,308,046,173,251,829,212,184,235,252,113,773,
227,722,666,181,492,494,906,126,388,433,414,510,382,750,083,896,792,924,095,
348,978,260,208,027,906,121,471,360,330,428,124,730,163,585,239,202,967,814,
197,296,086,432,280,643,714,650,743,052,204,247,038,808,084,992,880,817,101,
362,011,101,154,001,889,726,291,381,352,573,307,323,061,607,318,094,990,286,
934,860,709,390,800,716,854,255,192,976,516,884,858,900,990,756,856,305,154,
174,830,768,227,216,291,374,580,820,781,811,762,295,054,869,330,941,965,307,
887,567,116,170,976,366,810,824,347,198,066,406,960,634,335,698,598,032,197,
551,920,691,371,134,348,690,455,024,501,934,336,100,606,729,407,982,843,977,
999,482,640,442,811,904,845,457,314,009,295,540,994,018,968,926,809,497,359,
516,201,315,616,359,621,562,794,562,434,333,885,397,474,465,626,382,737,495,
651,000,820,138,738,990,239,201,720,225,999,058,630,571,736,647,105,961,851,
006,849,029,323,896,235,114,956,463,820,964,243,701,968,568,473,963,337,934,
362,553,821,552,646,117,932,732,364,056,561,068,932,377,983,025,284,650,241,
838,153,895,842,896,360,093,800,063,186,740,676,330,930,314,912,261,913,547,
762,770,107,144,403,104,436,778,245,280,739,789,345,139,958,738,432,125,196,
406,331,699,974,870,451,807,646,481,659,475,343,123,332,006,756,944,771,662,
948,310,002,904,583,851,625,222,729,550,526,420,593,267,817,488,801,029,839,
464,977,996,712,774,066,301,398,665,383,764,549,762,381,963,864,868,255,424,
658,820,566,245,662,220,355,138,784,492,352,611,852,452,913,628,677,387,994,
810,969,564,851,299,249,030,576,106,547,180,688,865,921,792,092,272,359,652,
289,382,278,109,517,342,285,753,785,431,022,611,616,441,268,712,620,271,065,
475,055,182,002,310,231,438,585,083,874,103,045,830,348,381,716,602,322,397,
101,388,742,644,949,734,724,508,865,860,950,336,415,639,469,520,301,071,335,
411,921,932,042,444,378,794,115,721,729,863,190,130,107,023,475,465,501,727,
751,279,461,896,953,463,752,891,197,754,102,193,868,248,346,034,568,937,616,
575,819,846,722,685,283,182,288,550,930,737,356,151,965,539,541,347,909,545,
680,835,440,596,355,627,720,309,665,765,084,805,372,091,509,288,291,519,236,
729,019,508,066,426,073,811,165,361,383,141,542,262,036,207,644,302,011,870,
904,905,879,239,967,017,044,316,742,727,823,998,052,481,585,097,680,066,756,
478,617,164,391,396,117,150,588,546,729,645,076,642,068,913,721,232,317,559,
794,985,469,635,316,397,308,475,891,504,999,164,928,370,172,685,163,281,688,
155,423,846,401,837,422,559,276,174,813,251,506,408,367,508,777,883,372,085,
712,580,089,742,073,011,963,914,246,065,929,457,587,371,930,757,681,144,924,
444,397,359,551,230,007,278,726,279,740,479,749,323,982,081,165,446,869,716,
327,407,289,370,993,678,043,173,880,432,682,586,280,538,051,032,044,395,849,
548,936,850,927,315,481,076,928,419,096,207,812,091,473,656,401,904,397,299,
010,323,333,503,603,822,492,310,933,762,413,297,437,970,871,620,806,704,646,
119,466,151,071,085,915,978,312,198,760,538,629,569,798,918,123,255,213,899,
955,755,909,638,333,102,465,677,228,495,479,855,873,333,625,215,587,166,813,
638,836,158,562,544,550,741,186,443,968,964,362,632,542,127,307,629,606,107,
908,129,814,020,105,066,663,586,532,210,806,934,470,724,584,328,278,867,554,
637,340,880,605,607,992,320,716,709,011,696,546,019,867,520,839,323,194,670,
796,266,871,671,083,988,095,133,414,186,532,198,233,866,299,923,027,084,416,
669,372,937,245,512,780,285,798,941,156,260,158,901,756,580,426,270,335,808,
385,422,677,169,956,316,945,676,482,692,356,353,844,135,396,178,814,031,898,
168,562,421,085,667,027,305,641,236,374,519,396,294,336,959,804,862,885,544,
931,613,468,584,935,932,628,754,697,984,116,534,444,558,869,026,810,610,053,
508,797,415,278,582,620,027,374,231,228,613,414,829,073,274,102,192,024,914,
742,659,572,177,057,687,877,157,600,284,752,457,378,567,770,626,968,833,751,
452,020,667,895,069,602,237,514,714,693,404,061,475,507,376,237,514,950,633,
508,302,459,345,362,192,783,468,295,501,100,920,523,996,906,968,803,806,816,
335,791,724,122,489,404,470,929,100,838,301,074,853,115,116,108,917,615,259,
118,484,048,881,539,072,097,663,730,807,303,470,896,971,466,860,633,054,512,
095,974,429,314,834,244,309,307,316,987,300,307,180,009,686,084,135,364,513,
098,716,817,805,917,556,292,412,147,460,987,119,562,765,627,134,033,930,200,
982,571,246,297,954,218,800,245,318,828,052,067,862,597,233,408,958,059,590,
983,377,026,539,878,752,753,339,828,546,247,708,549,471,869,041,275,782,827,
633,259,417,169,562,114,157,016,539,448,899,779,122,883,331,637,598,093,783,
265,516,084,780,598,521,705,597,195,691,515,635,626,228,338,397,195,097,635,
015,929,116,229,364,714,197,490,675,967,404,177,539,235,610,249,007,865,860,
558,149,749,938,913,782,323,041,053,598,760,444,876,967,468,044,239,309,401,
039,398,075,241,849,603,914,467,570,325,154,873,034,425,817,459,113,853,021,
842,324,439,460,574,659,217,602,386,418,329,366,002,289,059,130,194,628,242,
478,742,724,225,442,609,138,704,316,859,531,650,977,284,873,025,828,309,400,
140,893,402,262,124,266,001,087,004,344,592,603,150,141,597,451,144,290,782,
638,137,844,245,156,132,268,634,702,149,937,299,152,405,756,014,729,375,561,
166,297,843,131,598,323,016,340,139,903,304,870,925,433,093,760,588,696,543,
877,673,699,573,799,834,288,888,789,490,182,599,037,199,710,445,777,674,681,
649,501,979,002,127,508,750,573,241,104,766,341,308,043,448,682,522,289,838,
187,260,864,661,128,483,984,679,807,787,537,338,925,649,303,878,785,185,589,
072,486,505,064,681,872,552,496,399,973,283,121,613,113,446,298,453,340,162,
764,044,874,698,164,736,082,118,177,146,113,684,760,167,573,353,082,011,479,
249,542,585,345,116,691,711,515,256,209,910,501,677,757,917,159,089,154,005,
366,400,591,547,861,265,131,412,642,266,248,460,603,905,140,579,000,084,645,
433,735,071,605,850,883,868,018,145,340,936,268,333,396,896,678,147,483,664,
674,650,405,447,037,239,039,100,366,276,400,353,348,521,036,771,193,878,871,
517,074,554,048,216,882,215,587,399,880,782,881,342,274,386,384,060,401,633,
669,109,320,717,480,400,395,206,219,352,631,733,118,301,104,134,460,788,990,
732,325,508,092,243,591,064,086,106,130,641,342,376,538,321,173,334,618,432,
935,714,845,016,804,205,350,525,510,861,446,628,124,154,782,115,408,358,493,
641,708,888,357,597,601,507,167,614,768,523,652,000,977,069,224,393,751,810,
237,917,061,627,780,537,535,580,214,984,274,567,585,027,890,302,429,513,025,
716,672,532,543,911,329,231,729,873,496,788,339,303,412,115,675,277,989,966,
731,410,780,606,378,254,405,726,090,245,414,765,146,824,526,287,077,799,774,
975,113,045,625,684,203,395,052,509,026,138,870,585,956,939,085,376,652,813,
299,030,348,958,826,852,873,668,555,947,519,343,920,532,229,045,579,563,467,
006,353,963,013,580,203,608,920,643,875,255,952,544,481,116,922,147,819,880,
376,006,242,355,447,545,839,067,894,925,664,972,671,102,184,356,053,495,150,
326,439,675,668,752,473,026,181,784,192,274,882,692,327,587,915,324,078,255,
712,933,227,080,550,899,293,969,465,203,141,746,719,537,014,459,713,717,722,
386,558,826,898,446,179,707,631,712,744,396,018,914,284,722,318,105,742,310,
292,400,150,522,211,820,839,102,588,495,733,939,450,746,186,926,435,924,855,
571,607,072,940,473,311,822,216,648,113,132,088,255,092,935,398,052,073,033,
587,292,402,097,767,159,939,342,567,329,345,488,812,295,851,422,849,034,497,
271,907,638,864,249,772,316,432,505,398,536,237,411,135,985,125,903,124,067,
366,257,300,516,230,905,919,338,799,957,390,402,611,962,426,349,140,240,052,
929,568,147,262,869,345,059,715,879,393,872,247,746,600,091,001,380,986,780,
183,898,144,801,769,176,729,853,872,410,456,385,952,802,496,485,737,008,130,
529,400,716,920,853,482,332,135,074,038,587,267,020,211,743,782,276,355,864,
663,841,526,149,155,479,617,356,214,698,498,319,927,142,578,105,369,940,826,
871,955,525,937,580,311,939,492,722,615,129,904,143,709,274,847,203,109,532,
587,242,540,935,227,875,358,995,977,160,675,287,106,569,101,040,273,146,301,
891,029,039,580,983,443,875,626,764,834,507,761,532,687,530,061,046,790,900,
742,217,080,073,315,470,042,712,883,334,890,470,955,723,556,891,643,325,286,
629,406,874,564,579,193,133,516,535,020,120,454,296,443,922,337,010,876,458,
220,842,246,494,519,331,787,045,238,558,519,434,939,410,350,473,049,311,401,
739,236,062,818,014,485,291,481,764,973,783,486,835,045,841,311,920,060,862,
891,558,589,703,713,150,339,722,130,640,038,573,346,511,896,646,176,498,023,
205,065,855,124,038,589,491,486,106,981,849,623,967,654,349,171,976,219,727,
763,019,283,088,478,664,761,356,764,431,227,885,994,867,442,230,279,535,936,
611,297,882,083,275,616,771,373,262,091,960,268,058,730,020,948,896,692,526,
551,788,610,074,045,623,073,169,090,556,633,725,994,850,792,626,573,643,522,
999,396,704,065,621,577,717,380,685,723,637,579,413,995,161,099,130,670,543,
138,732,798,481,645,510,292,308,584,635,637,872,175,656,878,163,200,013,549,
127,919,626,851,303,599,676,117,494,563,963,800,602,081,729,770,697,280,745,
451,250,580,332,704,958,783,166,901,927,865,388,454,058,389,397,262,262,034,
928,268,535,678,828,636,415,529,977,776,535,575,534,072,111,218,793,098,103,
697,141,439,010,869,102,667,771,301,084,855,191,977,735,063,967,413,238,942,
552,094,447,341,837,800,836,680,970,456,427,602,710,937,413,522,900,149,941,
165,321,720,604,449,947,866,513,380,250,102,526,847,698,975,577,814,977,392,
077,076,840,064,933,941,904,505,034,734,390,040,032,963,520,915,885,006,742,
241,905,597,972,556,515,525,657,027,132,082,754,899,401,936,408,767,879,476,
330,140,576,085,448,018,308,682,599,731,914,551,493,455,868,550,437,568,729,
495,220,813,354,492,922,592,487,486,774,590,009,109,796,083,039,076,967,393,
816,988,211,265,928,436,639,075,462,064,966,967,092,726,775,957,581,035,068,
470,793,485,346,077,146,751,685,460,269,955,592,255,996,640,432,150,298,882,
831,625,747,834,917,938,493,730,943,902,822,779,541,317,800,772,238,518,255,
776,279,668,315,164,069,060,972,953,369,565,288,729,693,615,777,401,443,298,
495,079,732,950,046,187,266,807,581,297,207,344,871,071,251,270,612,984,509,
061,491,480,434,054,650,791,530,184,960,653,782,146,475,064,085,801,002,534,
846,071,846,324,234,345,077,223,087,191,874,671,051,461,088,635,303,006,896,
050,405,029,309,308,548,303,055,203,644,949,237,549,773,679,702,376,560,400,
658,659,144,730,625,340,833,874,399,354,257,987,230,480,110,954,327,501,572,
179,102,039,344,411,331,989,454,056,102,373,543,933,501,420,416,813,113,254,
470,611,533,443,964,074,048,866,694,769,813,347,532,743,401,972,555,016,249,
907,309,456,531,675,695,488,407,411,067,686,288,642,595,369,701,074,549,297,
816,818,518,114,917,318,168,606,677,448,827,662,912,772,076,996,085,811,898,
170,110,374,694,947,347,445,832,695,501,432,499,918,179,871,119,335,311,601,
495,629,970,421,248,159,619,781,269,422,802,125,221,179,009,153,068,260,047,
876,953,387,455,485,481,915,785,514,409,968,449,486,042,235,231,466,458,324,
545,878,683,533,930,565,069,855,031,450,357,760,772,564,215,631,560,022,973,
510,630,644,218,046,469,397,553,082,190,583,059,509,043,121,120,414,203,471,
396,329,213,136,942,163,033,614,872,619,326,299,756,657,115,391,762,220,048,
961,509,757,882,374,549,789,919,633,201,545,391,729,150,589,969,756,222,897,
415,047,071,823,214,353,987,410,141,877,615,338,831,666,054,243,758,295,527,
665,755,845,111,524,626,741,288,554,821,742,247,834,049,447,745,952,596,654,
208,706,662,204,279,712,891,866,845,265,765,801,039,811,343,467,291,357,288,
057,965,530,715,764,202,852,467,772,542,561,477,353,610,438,114,660,551,099,
476,240,560,450,284,527,970,012,214,478,945,472,317,063,077,566,120,090,895,
133,030,516,268,813,666,673,453,569,372,087,413,986,695,748,115,187,866,853,
741,336,793,495,861,130,161,962,436,588,936,929,219,335,655,375,225,857,135,
307,807,296,887,998,692,037,886,330,847,487,039,004,237,430,419,415,861,132,
980,978,862,046,196,191,575,764,744,595,331,581,688,972,765,355,689,929,970,
661,471,729,346,479,832,680,608,873,929,029,558,657,056,133,590,988,719,952,
286,151,585,469,437,727,989,009,931,597,653,621,158,481,570,961,200,456,245,
858,455,756,239,708,758,541,243,037,512,456,887,668,466,339,230,811,172,155,
489,379,031,359,494,252,724,689,328,662,029,221,161,603,040,730,211,191,345,
921,976,589,900,559,998,088,269,122,808,794,444,685,262,061,709,896,283,458,
766,991,459,035,836,803,796,596,398,199,791,491,490,412,906,609,797,950,840,
412,083,634,500,370,627,061,199,948,636,587,672,295,590,188,434,037,791,975,
658,653,269,994,979,642,656,944,507,412,087,667,013,582,836,439,551,196,006,
927,708,238,713,738,686,852,344,621,162,776,243,228,101,526,715,587,722,247,
082,700,874,283,812,871,448,766,348,241,263,555,723,660,376,275,914,073,585,
004,726,846,126,426,964,190,809,695,444,408,394,567,745,045,403,753,276,056,
408,460,613,627,969,034,582,297,171,693,743,239,768,245,542,247,638,277,652,
204,128,681,544,500,228,380,938,537,465,665,351,059,072,936,591,906,246,411,
099,897,711,850,757,242,069,615,392,183,644,367,644,493,829,855,768,104,381,
122,480,712,155,104,374,575,717,364,661,314,988,048,067,857,248,263,548,447,
681,807,489,674,922,334,130,540,907,935,156,792,663,172,058,788,728,129,337,
627,657,618,390,113,730,018,512,841,302,976,090,628,972,076,767,658,937,526,
916,779,579,513,015,454,443,117,735,440,392,621,568,086,310,707,342,412,679,
899,559,838,314,764,200,730,683,096,350,203,518,292,902,669,593,338,238,659,
795,543,806,075,276,477,721,300,688,626,152,938,976,898,962,193,337,308,831,
533,745,322,535,030,757,453,636,926,669,751,503,599,544,165,420,584,437,532,
051,302,909,066,104,112,318,875,648,806,534,673,800,672,003,651,271,324,576,
530,883,445,483,514,628,269,213,302,895,511,705,408,383,083,467,153,384,267,
031,436,726,058,141,219,532,150,819,928,591,428,499,621,115,178,542,354,181,
970,644,717,135,022,713,354,468,934,091,801,011,374,268,187,397,202,724,069,
506,298,869,019,264,557,311,954,520,617,541,960,066,018,395,792,763,666,158,
105,139,258,983,846,201,999,141,076,120,154,321,420,357,223,163,358,959,088,
476,635,468,493,814,341,351,039,645,184,244,840,934,453,509,848,590,744,302,
955,597,560,516,661,029,430,465,476,925,697,832,875,312,960,456,443,862,296,
234,460,082,362,663,545,220,297,576,892,153,605,509,773,072,431,354,030,080,
760,160,969,026,215,597,724,862,899,798,585,547,090,354,664,359,186,765,499,
483,053,222,045,504,437,309,863,267,554,794,612,662,601,303,513,489,693,834,
409,946,780,810,735,096,282,261,406,130,680,525,171,415,140,747,215,924,355,
823,669,156,894,227,904,802,422,227,587,078,372,916,546,984,041,594,155,288,
474,593,426,657,806,022,879,139,743,260,765,478,587,841,242,492,045,307,231,
673,980,197,699,071,988,285,119,050,283,461,673,906,695,005,401,538,123,425,
757,932,384,888,347,842,418,543,483,588,317,982,079,342,706,108,173,784,398,
515,135,840,294,299,206,015,327,477,040,596,470,212,588,066,591,915,237,740,
971,454,922,491,244,347,287,259,584,275,128,465,137,103,055,601,770,691,381,
353,683,024,326,997,036,983,219,935,038,702,227,077,490,606,569,414,465,312,
480,219,663,627,551,579,287,746,312,572,605,608,615,249,068,731,548,165,145,
364,709,453,532,557,330,723,561,453,349,126,103,738,268,098,596,850,014,729,
726,616,689,796,800,604,876,933,996,568,594,509,479,055,834,851,687,680,429,
960,958,789,518,236,467,993,348,103,765,840,294,226,700,032,849,200,213,476,
205,650,193,523,703,980,269,284,412,535,398,872,625,168,142,697,725,403,204,
873,971,448,332,214,130,237,916,968,588,424,590,724,371,175,959,772,324,072,
147,186,301,089,226,610,588,821,198,619,985,457,619,549,089,937,488,684,790,
661,715,582,212,539,563,484,258,239,696,886,172,578,346,020,486,729,952,108,
629,963,714,972,065,249,260,382,203,260,047,513,011,496,214,295,250,223,375,
598,973,257,639,046,878,990,402,667,209,733,345,193,325,604,697,310,581,687,
787,715,510,604,725,085,938,313,186,152,664,902,667,364,139,900,746,979,490,
451,350,069,740,301,981,061,859,598,538,740,822,827,157,239,993,649,146,732,
201,098,393,231,077,899,456,422,048,504,028,832,319,189,558,869,745,525,437,
358,614,966,055,383,846,587,995,900,155,733,174,349,593,078,007,215,467,041,
851,672,479,201,376,637,961,910,876,891,737,653,467,596,581,134,346,772,878,
770,949,730,610,672,278,648,157,185,724,407,724,260,185,732,546,870,913,476,
727,831,070,097,064,448,255,576,582,535,851,063,850,971,960,284,159,589,235,
233,226,229,775,370,729,996,342,136,863,014,773,289,660,571,840,272,834,251,
645,037,317,453,612,360,311,511,311,238,955,683,483,998,045,273,171,778,569,
101,488,547,844,221,770,322,946,886,772,907,495,673,903,736,891,130,040,382,
526,826,823,455,176,286,667,006,826,246,037,045,736,747,883,648,964,014,511,
781,099,989,255,988,711,346,274,879,302,348,394,377,862,765,102,982,243,271,
455,118,395,791,807,636,556,794,246,049,298,182,759,097,551,488,851,392,034,
817,197,458,403,642,100,669,439,877,079,955,024,016,087,908,551,336,025,892,
825,364,735,176,017,613,247,525,232,711,633,173,715,211,312,492,440,700,864,
209,124,238,590,513,229,470,412,890,644,855,573,609,829,659,952,816,032,549,
865,213,662,696,196,808,337,114,180,311,239,584,993,544,344,845,548,786,629,
350,755,951,434,534,240,344,236,231,673,990,911,857,420,079,805,937,815,599,
236,227,697,558,766,911,434,572,723,333,929,039,899,148,004,304,683,318,527,
344,660,964,896,177,265,703,213,824,500,496,521,601,458,885,714,542,263,438,
508,395,212,408,803,484,380,966,578,263,555,942,292,713,747,595,886,252,100,
509,908,867,732,997,803,567,859,018,237,536,044,063,647,453,419,772,414,909,
279,931,367,501,014,184,606,272,711,166,220,643,790,726,070,594,865,729,564,
691,303,930,752,204,356,740,590,413,824,899,800,505,738,071,215,184,585,447,
428,840,972,874,362,005,238,383,855,595,016,446,109,030,414,167,083,357,569,
044,456,501,078,608,837,548,707,056,877,833,649,996,229,742,052,199,807,245,
044,345,702,751,055,822,794,820,498,973,854,468,818,324,428,488,361,283,393,
448,710,082,324,337,036,332,608,597,379,546,554,900,443,593,135,086,566,585,
044,491,174,180,451,080,272,163,958,239,715,356,367,045,392,915,662,733,207,
913,769,158,875,430,296,291,799,401,176,901,409,777,061,520,613,759,728,479,
050,631,878,203,434,554,132,497,185,721,340,040,206,472,224,564,005,833,334,
145,205,078,678,148,492,242,701,404,675,380,186,397,399,101,799,342,143,811,
435,443,739,244,764,550,307,491,827,658,789,259,209,533,953,377,371,616,218,
178,123,174,350,528,925,265,407,687,616,568,185,563,609,784,087,608,870,415,
327,768,954,367,153,979,200,424,597,217,955,123,354,129,349,285,587,239,981,
036,090,325,642,822,266,443,579,031,670,481,065,199,687,966,365,543,099,891,
418,553,063,140,374,956,388,410,754,411,856,988,084,643,257,876,921,783,823,
367,419,747,434,078,047,724,419,295,330,894,770,534,641,540,565,815,730,993,
830,225,006,359,844,865,655,098,311,572,029,594,426,729,684,893,937,314,398,
679,442,191,836,713,641,367,965,636,495,384,750,254,886,147,824,638,304,881,
575,161,708,237,911,047,935,457,905,820,420,601,041,163,783,369,434,596,606,
143,808,799,202,295,931,573,738,949,263,277,934,184,494,790,082,635,749,414,
163,183,680,165,132,219,794,137,612,200,553,591,680,062,951,339,229,380,080,
113,074,124,297,465,708,829,732,019,428,283,054,937,095,198,594,108,411,150,
531,324,611,454,003,394,839,827,191,595,084,662,163,213,246,404,187,816,197,
420,227,469,692,957,312,596,836,668,263,108,150,098,342,817,550,428,598,495,
968,603,600,806,160,913,916,151,881,146,191,833,679,340,397,970,423,834,039,
854,773,162,722,160,375,909,684,153,287,278,925,384,371,284,251,903,711,474,
727,977,898,397,925,442,395,810,515,204,847,081,507,892,886,819,891,711,075,
799,649,959,155,720,684,314,965,711,380,789,013,701,847,412,485,549,434,504,
931,257,354,879,087,667,847,305,613,643,282,768,585,691,070,243,485,100,402,
047,981,583,249,506,902,321,767,188,189,866,233,213,382,878,107,021,425,970,
711,761,363,388,377,602,757,964,965,931,738,139,863,961,654,624,876,961,765,
747,775,828,777,610,500,088,706,531,444,869,190,544,592,869,186,645,532,507,
944,237,608,354,773,348,616,347,282,150,085,355,316,002,803,318,819,173,274,
247,680,649,566,076,098,994,750,391,174,802,066,717,076,598,345,747,649,169,
845,661,805,229,238,465,650,735,280,670,051,917,855,901,854,731,645,977,150,
009,940,099,200,597,037,542,863,856,890,987,322,854,742,509,656,438,782,810,
951,172,081,692,890,156,293,534,144,811,822,234,225,540,349,788,485,793,077,
789,021,344,011,367,797,572,193,597,993,382,907,731,590,803,331,209,813,480,
707,437,995,430,947,715,290,779,683,786,247,689,954,543,217,827,625,059,098,
621,256,133,167,530,100,131,661,642,573,398,205,368,029,707,369,876,729,062,
824,457,202,377,390,166,599,270,207,037,783,022,661,433,203,481,859,179,379,
272,844,926,682,090,613,044,734,738,636,443,594,813,569,516,231,400,287,290,
027,834,432,410,788,707,612,160,717,738,235,206,031,774,631,114,120,144,060,
931,812,643,465,919,977,258,638,503,227,957,910,269,099,744,803,610,863,760,
414,645,638,284,945,509,087,277,639,478,306,945,241,091,071,514,370,925,498,
013,249,854,984,170,223,750,078,099,407,916,003,030,067,698,489,263,017,250,
685,518,174,280,926,094,722,560,114,609,851,469,028,749,731,032,409,412,404,
076,041,529,824,557,399,341,985,551,761,197,359,653,870,259,974,433,790,742,
573,423,711,891,544,770,968,177,214,422,363,354,939,911,633,887,609,999,801,
386,149,547,479,657,321,484,152,396,829,117,518,443,718,358,989,285,788,610,
163,307,854,617,261,654,308,974,295,280,255,464,645,218,154,770,706,421,918,
389,089,730,308,626,804,056,376,587,116,459,711,978,709,135,246,821,408,258,
779,057,805,729,704,893,580,984,350,454,474,448,094,401,623,974,889,863,841,
629,019,588,439,716,171,144,823,785,779,487,491,770,210,623,671,037,068,147,
575,559,469,692,836,806,306,501,883,688,659,935,299,597,869,612,102,165,316,
218,176,526,126,542,351,166,424,655,974,146,575,985,374,069,603,792,642,966,
600,803,977,101,186,434,920,436,111,806,529,369,214,190,698,721,632,857,181,
297,377,165,034,484,995,083,491,440,680,476,829,298,686,126,280,152,601,805,
645,406,481,486,796,062,446,887,722,000,548,047,662,870,060,852,300,083,698,
471,424,384,873,572,495,841,654,696,071,258,481,642,128,310,922,254,766,942,
275,586,967,712,365,415,690,385,836,118,785,526,677,152,787,521,189,201,569,
106,194,789,646,098,698,967,928,411,589,672,037,469,249,847,515,585,654,142,
973,586,063,493,965,078,460,737,470,427,812,082,572,467,426,868,784,585,732,
970,350,662,530,753,128,414,259,901,639,101,948,168,831,396,966,178,124,150,
393,112,105,362,944,703,509,193,133,052,417,943,081,941,893,656,903,982,529,
660,156,028,367,820,988,815,591,502,622,151,300,028,638,073,478,332,860,166,
890,827,374,906,191,063,910,145,902,075,031,486,487,187,637,174,024,704,976,
994,577,364,131,144,698,457,498,068,199,057,469,558,647,920,007,691,868,458,
157,011,116,966,766,031,112,222,925,422,811,812,152,250,209,584,658,373,330,
297,252,900,512,399,464,973,583,093,292,165,488,724,332,376,692,732,914,979,
407,458,935,702,661,216,820,698,292,343,430,101,490,801,266,999,634,520,590,
187,808,392,445,073,192,193,152,151,706,588,081,808,625,374,827,478,515,271,
515,857,921,492,856,710,411,106,038,463,146,102,354,654,618,293,843,620,897,
136,758,114,966,855,435,896,789,470,325,948,912,524,481,701,096,756,638,603,
211,761,744,068,470,027,315,632,695,705,861,459,437,812,003,225,896,325,779,
938,863,938,332,904,942,151,276,375,355,849,004,397,905,954,845,321,425,816,
941,969,563,774,925,689,117,855,980,048,349,935,617,405,004,573,090,045,445,
219,787,934,630,407,266,481,791,312,518,510,404,046,116,752,606,948,074,218,
258,748,589,853,818,576,921,431,880,762,045,953,800,352,830,874,682,287,662,
068,317,555,580,567,303,588,182,830,931,007,427,853,787,920,376,603,781,798,
903,779,277,034,058,486,994,237,048,597,231,202,077,040,265,396,400,930,967,
777,063,737,106,029,372,222,285,668,702,437,192,931,541,719,325,903,741,286,
221,453,525,068,212,977,603,390,596,169,863,248,757,688,738,523,208,397,616,
074,846,612,665,578,858,969,652,951,259,482,843,486,381,615,423,991,203,212,
158,125,228,105,858,807,004,614,347,808,753,936,350,972,291,612,184,591,819,
320,366,814,685,254,399,731,086,911,129,006,531,245,899,674,481,935,127,131,
813,214,280,394,619,784,596,000,643,511,522,803,087,164,377,597,094,424,325,
562,145,011,071,210,727,168,863,129,855,477,121,717,320,208,076,839,877,295,
491,484,583,899,654,680,390,174,528,448,597,783,991,463,077,457,959,907,133,
289,111,263,014,747,583,234,765,345,138,656,338,456,865,294,571,050,491,467,
602,216,995,787,593,958,246,151,328,328,089,678,140,715,371,062,842,882,253,
099,754,888,532,790,288,042,405,354,551,326,089,850,330,170,253,404,656,877,
851,418,448,587,743,413,084,887,317,656,182,428,445,741,174,517,170,770,338,
393,868,557,085,520,609,047,498,701,556,709,973,011,131,721,497,970,685,763,
398,345,689,794,402,495,904,487,278,363,585,704,124,049,720,776,710,916,517,
074,976,294,563,793,784,563,943,357,201,440,308,510,262,448,376,384,196,653,
890,824,740,992,328,178,348,595,173,608,263,366,239,328,764,912,230,021,117,
018,741,335,645,802,243,207,454,599,799,895,713,291,547,144,997,043,312,737,
898,311,307,595,451,646,630,014,907,161,570,017,923,735,422,995,749,574,623,
725,395,765,480,332,622,150,985,718,844,187,428,886,236,172,853,859,027,116,
915,962,779,944,200,258,120,477,257,632,381,509,335,747,316,859,698,241,841,
629,467,896,344,855,371,875,225,811,272,807,695,412,091,326,424,042,327,143,
589,416,436,741,697,571,480,403,511,137,928,652,639,720,648,612,619,566,456,
320,349,550,957,581,065,452,966,160,076,905,400,222,666,397,266,896,717,468,
571,749,107,073,683,714,136,926,082,641,835,328,738,709,535,909,096,611,635,
116,026,817,479,352,012,812,654,999,822,479,941,148,657,664,514,484,243,677,
854,700,980,260,383,209,429,671,654,366,289,349,874,066,010,990,251,989,971,
991,875,982,939,641,541,306,347,892,244,134,180,345,470,508,650,309,368,979,
005,066,240,190,127,478,912,058,263,151,496,918,210,000,980,554,022,069,985,
490,267,278,488,204,408,339,675,112,490,578,608,549,922,172,146,588,112,191,
243,884,716,038,449,783,577,990,555,423,438,330,851,547,054,773,220,576,965,
766,934,170,294,482,978,278,980,838,560,188,632,141,858,039,433,810,012,086,
444,933,511,404,909,109,568,177,374,763,599,374,925,296,251,616,616,480,138,
705,709,436,785,715,369,536,083,100,419,666,319,672,308,449,490,112,817,265,
486,155,596,379,607,901,544,092,433,693,967,944,567,249,409,896,604,623,878,
728,322,085,160,521,692,622,476,759,631,144,725,040,111,146,380,568,242,689,
317,208,490,571,594,386,171,394,688,328,205,786,494,853,828,917,809,152,010,
048,706,172,864,524,757,390,005,278,233,375,257,194,007,189,956,069,673,213,
985,589,683,225,869,881,185,974,814,867,368,956,454,407,078,910,098,705,865,
550,133,359,310,635,083,284,083,736,942,792,526,529,332,810,131,609,407,652,
908,932,464,266,924,644,514,726,371,382,249,483,829,170,100,851,972,384,534,
133,692,718,148,620,729,267,742,185,901,428,933,382,494,121,456,007,256,273,
791,922,603,991,842,410,660,015,437,986,230,486,348,570,843,937,768,920,523,
198,131,872,768,208,284,659,955,119,416,353,289,432,963,708,015,720,608,473,
742,201,295,067,628,801,978,391,602,816,934,001,659,007,036,493,559,755,401,
310,406,278,638,447,051,929,683,713,087,023,820,696,785,127,160,148,402,284,
802,137,869,904,461,671,834,822,373,660,272,429,438,496,589,428,882,785,601,
376,648,472,476,887,261,692,820,520,285,749,098,460,847,946,533,615,694,420,
571,012,146,154,143,029,890,828,543,241,756,650,628,805,308,108,130,691,574,
064,775,708,689,567,656,924,955,298,060,235,371,057,427,063,347,258,164,842,
732,617,489,108,360,773,458,606,226,019,201,659,709,661,794,110,412,621,408,
067,584,172,314,891,234,691,483,673,990,623,831,384,430,025,333,502,289,490,
952,143,597,628,169,177,632,070,370,081,787,880,422,212,937,276,940,371,967,
874,057,040,532,944,917,611,273,986,910,188,668,984,192,510,685,461,606,738,
772,035,501,203,833,521,992,239,143,368,564,345,716,854,304,428,016,209,211,
706,923,646,097,006,041,703,097,678,577,867,827,330,447,882,133,625,623,739,
071,172,229,759,437,604,834,757,091,792,212,798,363,096,121,690,732,383,910,
539,385,157,731,455,154,754,327,629,665,183,489,016,628,844,659,967,643,361,
467,587,793,683,056,342,934,159,146,376,721,781,563,763,345,713,062,753,949,
774,985,067,466,478,180,048,857,507,682,554,704,542,394,411,485,705,847,390,
316,832,884,528,988,802,857,249,865,254,229,090,418,445,901,382,188,124,073,
789,740,910,483,247,797,763,044,683,757,831,009,824,650,506,521,744,626,285,
848,780,580,752,128,001,040,362,509,773,008,746,905,024,862,080,462,051,753,
044,632,010,877,393,410,175,717,994,494,188,279,600,452,277,635,646,641,982,
301,696,260,270,211,962,595,758,316,328,558,234,448,703,415,890,811,186,696,
421,448,646,484,268,570,772,243,504,816,256,954,668,346,440,733,005,065,499,
144,869,193,083,612,585,334,668,101,918,312,007,886,807,849,782,758,849,616,
738,419,595,663,217,617,932,183,970,247,628,127,887,508,436,016,162,771,952,
378,481,012,931,074,102,726,441,192,463,667,159,724,832,753,694,910,209,588,
930,383,359,192,796,632,315,737,866,419,688,247,676,736,605,600,909,845,136,
105,526,347,145,176,283,704,701,436,172,920,393,094,807,402,503,902,610,172,
132,533,586,888,271,750,704,927,718,829,750,906,144,789,497,065,938,645,881,
500,053,149,335,670,254,483,600,374,053,331,029,578,224,749,656,926,604,275,
615,320,508,335,067,224,710,997,343,778,760,716,434,542,899,995,264,899,351,
502,594,200,278,601,604,750,658,393,121,613,295,895,384,928,167,156,821,990,
546,019,379,623,981,567,775,332,829,294,886,317,484,624,281,476,469,795,480,
301,660,945,621,970,155,707,049,625,929,561,710,472,739,005,577,176,278,130,
241,033,119,952,776,078,099,675,145,190,677,683,400,057,021,950,968,063,845,
387,605,570,943,185,262,363,535,296,471,141,057,529,702,368,958,634,960,343,
064,776,438,189,428,455,999,857,813,740,526,617,390,747,300,535,005,572,241,
572,577,227,586,966,546,253,072,841,736,085,983,465,024,492,401,790,571,747,
498,060,334,402,057,950,338,175,811,722,171,879,915,183,002,837,148,024,890,
663,869,920,379,087,621,443,139,478,810,739,408,076,441,847,813,248,417,647,
507,699,052,802,511,606,105,151,024,540,836,331,980,934,450,786,726,786,640,
487,668,955,983,913,517,237,243,605,054,260,820,665,492,425,778,659,967,958,
705,279,106,718,231,554,533,017,354,199,395,782,493,428,588,538,221,057,930,
474,556,748,151,097,863,090,986,116,123,070,909,274,259,525,290,823,464,104,
439,615,041,296,184,446,461,842,785,745,376,476,242,059,376,037,687,671,673,
315,801,310,330,082,388,021,661,579,100,950,386,114,751,899,805,335,785,205,
403,280,892,198,191,614,927,630,687,288,482,030,058,838,931,896,159,099,775,
097,012,317,301,256,729,062,108,181,182,286,113,393,954,074,640,945,438,339,
635,697,058,227,146,952,547,216,384,126,310,199,172,600,103,061,062,201,426,
229,821,627,440,687,465,768,474,451,519,119,982,890,558,270,542,025,865,146,
120,311,699,890,038,224,836,418,509,067,959,870,524,947,459,549,538,347,491,
341,240,908,134,924,218,257,621,618,904,400,017,184,788,855,243,603,772,210,
028,507,286,369,040,755,123,957,596,763,709,234,030,572,219,251,219,211,488,
180,911,208,315,677,726,673,615,708,999,832,492,251,593,911,676,098,695,206,
956,631,230,282,395,237,898,858,911,701,239,849,308,692,112,625,413,453,028,
055,038,491,273,405,553,531,311,232,994,929,322,499,076,875,222,731,631,436,
573,184,489,257,306,217,507,856,690,839,541,623,356,646,859,602,357,384,262,
311,356,893,488,468,745,982,925,908,277,037,839,307,688,724,429,740,369,796,
261,574,935,901,396,554,465,073,841,068,595,637,969,341,400,000,102,579,015,
269,249,546,123,764,766,967,032,662,403,152,590,166,669,980,792,342,042,975,
306,979,311,206,056,801,845,439,951,981,930,960,656,394,273,647,174,188,562,
100,971,438,621,970,381,176,237,159,609,921,139,902,411,200,853,827,352,551,
568,339,562,364,320,442,458,906,320,904,352,890,703,689,722,182,435,383,187,
348,557,479,403,877,530,501,017,907,290,358,655,479,033,075,437,835,048,969,
657,952,258,196,630,578,989,309,670,765,379,470,398,141,831,163,737,894,845,
183,147,656,552,599,499,495,815,638,269,382,069,230,058,262,210,212,476,710,
642,929,142,349,798,818,452,664,704,997,745,273,955,814,808,901,649,939,675,
720,180,325,551,384,655,558,967,210,836,104,991,649,969,175,225,480,533,841,
116,297,072,944,775,047,658,100,576,364,294,218,902,606,028,879,238,267,656,
314,594,420,537,018,104,626,129,993,977,695,585,752,382,264,781,878,216,682,
695,164,021,613,394,587,636,305,164,023,839,826,454,476,546,931,047,938,302,
362,767,338,219,474,012,701,723,061,376,560,389,621,002,524,387,359,992,855,
976,610,343,188,174,579,630,425,896,647,768,057,377,406,423,460,591,644,398,
217,322,067,251,226,572,214,345,601,104,509,976,469,485,143,156,779,988,460,
452,148,671,954,627,252,879,860,548,725,912,576,090,985,680,972,311,244,373,
524,911,463,516,782,661,333,826,909,280,006,888,473,409,066,274,211,727,837,
117,193,531,914,437,025,837,056,985,041,065,948,850,947,566,988,633,160,805,
078,209,227,766,325,218,653,394,038,544,283,063,614,521,871,774,762,067,928,
523,424,047,926,888,708,498,994,546,091,445,862,528,031,976,951,846,844,626,
278,164,414,093,897,220,370,027,797,906,232,565,168,919,514,593,244,473,013,
160,721,785,805,295,839,738,888,553,737,834,963,260,393,514,108,256,734,101,
106,130,052,295,209,032,822,578,715,333,952,538,838,133,606,834,545,237,313,
703,423,881,919,601,817,616,987,456,804,812,238,725,701,386,390,729,424,937,
980,555,403,844,789,301,323,469,604,363,022,743,157,307,825,227,543,293,432,
813,471,149,344,796,472,678,160,128,967,392,386,916,100,009,176,014,489,817,
488,527,335,445,871,980,722,869,522,961,291,032,674,404,622,690,247,895,468,
580,630,856,897,892,706,862,703,313,523,375,529,701,913,704,999,058,079,658,
073,295,366,354,636,058,319,583,782,952,908,157,506,090,668,659,919,911,851,
245,912,321,540,674,532,073,121,978,433,492,222,359,239,550,226,112,867,317,
567,825,247,900,478,729,653,520,818,471,762,376,667,229,842,266,351,567,411,
307,032,969,251,898,328,732,522,115,269,004,173,380,615,341,176,538,015,277,
418,666,528,382,999,069,765,325,009,169,624,188,172,737,835,568,814,324,471,
779,349,171,191,231,865,222,017,830,005,913,280,231,403,985,511,317,015,644,
354,581,149,019,705,957,208,180,782,121,937,998,692,449,402,435,117,234,992,
320,700,419,598,744,267,984,473,992,850,143,056,397,982,788,531,448,153,577,
282,830,527,030,308,227,733,029,559,253,627,609,844,911,932,496,538,858,333,
055,154,444,117,987,088,811,539,347,034,424,539,077,488,918,933,133,883,422,
821,908,495,766,387,781,313,931,775,640,111,277,216,836,316,458,436,380,670,
905,358,381,769,345,007,294,454,139,135,048,848,574,420,341,070,120,591,758,
467,893,990,911,825,659,101,870,027,307,232,990,333,155,401,773,989,758,387,
659,004,401,484,060,672,599,295,571,488,120,168,605,342,387,668,235,525,934,
016,804,127,425,826,361,599,545,506,621,690,119,401,279,194,567,125,670,524,
971,305,212,401,597,680,138,909,404,073,549,037,895,572,711,629,720,460,593,
841,577,409,963,238,060,460,519,364,636,200,484,775,375,054,995,896,211,376,
408,094,482,652,386,860,869,274,858,574,730,802,334,303,937,254,199,567,686,
530,908,878,388,467,626,847,619,267,271,328,772,562,978,354,226,400,868,857,
358,181,094,984,399,413,829,001,644,266,272,755,034,750,611,907,072,015,344,
199,323,863,704,993,756,143,461,523,423,925,905,388,679,300,728,134,489,817,
089,412,318,448,394,764,771,896,512,288,375,712,871,194,916,717,962,991,221,
562,748,252,004,360,769,498,119,557,108,105,285,370,535,082,153,270,639,416,
180,276,092,248,135,550,707,305,771,616,872,473,124,918,385,269,047,636,968,
473,034,356,857,466,399,252,899,711,683,737,964,413,264,067,187,854,003,454,
559,831,506,275,994,371,386,171,339,774,541,596,874,492,410,144,017,115,772,
770,680,057,942,655,940,439,786,030,534,834,254,418,485,415,751,564,985,664,
800,266,109,667,553,777,604,298,075,578,981,165,594,807,847,258,520,703,644,
315,386,646,006,375,755,950,044,482,277,443,547,608,632,683,126,220,964,152,
612,200,389,500,970,820,654,196,591,963,866,014,337,669,148,572,921,414,741,
893,160,937,863,825,901,819,794,675,038,939,903,706,817,965,387,986,297,869,
634,784,772,955,376,690,683,812,735,340,685,570,405,064,586,912,272,447,742,
097,537,087,967,692,868,280,628,635,672,696,486,123,394,250,012,027,585,199,
611,609,861,400,735,444,811,255,406,244,800,502,556,073,265,585,996,985,370,
272,737,126,925,337,956,922,937,180,503,230,969,305,041,394,435,385,475,448,
026,640,155,905,909,806,534,279,276,637,192,320,019,262,784,631,283,146,465,
707,160,465,962,215,172,889,389,713,242,363,176,562,738,862,075,069,856,229,
389,872,862,349,987,421,624,734,827,271,571,257,203,348,777,003,057,942,373,
564,942,417,788,544,359,703,602,942,619,165,454,289,719,643,444,721,639,445,
559,484,564,844,236,461,804,244,286,339,175,315,249,868,529,039,777,867,806,
864,916,379,414,187,227,985,068,772,556,797,718,950,739,240,765,294,684,767,
671,828,568,527,084,637,679,715,682,575,372,752,086,591,818,608,939,744,924,
350,742,447,663,222,281,731,533,828,031,169,932,019,846,411,469,277,461,334,
732,455,325,131,293,062,415,771,528,571,389,819,588,883,733,027,521,676,144,
768,556,008,995,496,500,082,058,738,377,408,641,018,889,823,869,538,896,404,
277,803,451,424,980,482,889,506,101,144,307,684,478,163,696,360,173,019,197,
493,563,563,723,414,459,081,125,704,069,060,294,977,574,645,145,923,269,946,
764,123,244,418,275,098,230,289,101,957,038,573,992,465,976,306,532,993,490,
018,054,121,055,502,615,771,560,788,691,733,320,115,537,413,800,044,995,870,
565,006,396,200,331,744,595,630,239,897,469,105,658,499,594,888,812,576,803,
224,835,314,027,732,547,411,906,839,803,072,240,441,443,732,476,357,048,141,
284,663,993,988,309,797,886,715,540,216,252,168,578,501,512,323,216,674,467,
520,452,723,234,069,336,201,781,432,947,691,088,335,973,247,228,048,733,066,
143,259,621,327,882,066,607,286,342,870,134,018,998,213,659,778,312,772,770,
034,619,367,350,458,592,297,175,453,982,168,569,816,777,250,085,605,063,036,
853,193,313,291,682,367,381,834,212,558,107,746,227,700,489,873,145,459,313,
184,065,645,574,290,585,014,634,502,912,018,941,768,056,772,886,987,970,194,
789,432,531,105,145,961,619,552,999,933,282,623,351,516,453,018,202,166,688,
689,582,718,490,870,044,318,446,670,735,974,523,085,581,784,014,738,670,334,
253,649,061,079,891,292,407,818,993,778,905,507,639,377,765,606,066,573,319,
851,181,813,462,132,116,409,256,563,605,703,235,016,408,047,719,794,158,667,
041,822,060,776,145,041,532,150,391,094,406,620,171,208,544,783,949,649,617,
960,829,365,220,228,359,672,239,419,113,518,564,664,915,328,820,860,655,207,
930,867,396,147,777,908,575,101,456,564,741,465,797,992,087,261,585,431,725,
331,779,360,271,665,823,248,086,904,082,471,084,545,832,895,220,910,396,939,
042,978,406,254,960,527,455,580,694,338,547,323,148,235,118,461,157,633,428,
011,681,536,490,424,501,374,974,042,247,429,018,522,485,947,703,698,725,641,
665,780,083,318,956,177,187,432,275,822,574,006,529,539,878,395,163,613,075,
582,173,837,354,487,378,896,421,182,751,612,768,151,199,783,822,384,194,549,
068,931,960,809,334,203,039,032,218,355,084,376,024,831,415,284,143,477,956,
568,250,207,790,114,378,401,748,519,426,339,433,002,799,290,472,915,701,837,
280,151,951,149,989,957,035,447,068,154,698,870,458,173,984,607,312,433,432,
301,786,617,912,927,163,867,585,011,742,854,942,160,914,912,809,446,562,046,
192,855,580,251,009,628,091,801,007,724,369,001,428,932,821,829,765,506,865,
183,790,717,589,380,322,240,696,891,149,112,534,367,309,403,438,463,570,318,
141,620,265,678,872,720,063,798,733,175,190,874,438,823,114,444,263,885,592,
028,542,236,341,467,123,244,623,510,612,259,817,945,952,877,655,998,222,023,
164,753,768,131,509,888,015,872,091,351,643,201,734,639,645,052,106,530,218,
878,225,672,001,153,807,634,541,369,066,645,433,022,792,297,066,283,810,572,
014,925,674,958,052,390,109,597,271,268,956,418,106,712,945,890,457,959,584,
476,788,215,410,660,100,990,631,763,497,646,521,410,247,954,509,677,461,377,
876,690,765,704,182,498,657,306,695,686,859,683,683,792,312,864,683,521,637,
651,027,326,174,819,559,461,694,123,605,024,992,046,768,754,360,770,071,848,
914,223,744,461,076,006,418,107,846,639,560,484,097,449,780,034,070,865,513,
554,004,808,819,589,177,750,152,201,178,174,247,192,882,667,630,025,953,658,
232,958,874,040,806,169,365,083,866,236,985,012,406,203,836,464,400,528,614,
805,470,388,800,005,209,485,682,168,925,759,620,400,565,799,309,375,684,160,
769,592,154,105,763,392,583,716,443,201,295,436,143,927,470,765,133,715,286,
893,101,991,190,477,218,121,274,643,976,113,620,269,090,934,960,643,545,560,
324,278,494,086,499,897,577,728,364,086,263,013,384,292,739,036,957,741,796,
543,090,565,817,645,551,516,148,518,535,970,135,200,857,594,291,169,576,506,
141,554,811,971,822,620,990,425,235,721,835,812,477,225,587,224,681,814,317,
191,067,888,141,870,021,218,775,380,796,779,514,966,466,318,753,682,460,675,
609,120,082,177,167,995,430,922,587,445,178,782,563,935,616,544,889,076,535,
463,815,079,836,690,107,196,885,870,126,393,503,887,835,871,319,519,465,491,
506,574,019,498,241,199,060,528,813,146,022,134,908,271,300,990,343,134,291,
150,652,958,306,767,669,389,095,953,497,381,883,457,218,163,422,920,857,614,
107,742,506,173,130,610,099,478,020,120,932,197,582,902,217,299,661,479,774,
381,757,049,591,162,555,148,041,827,137,445,297,506,145,730,988,504,255,259,
129,887,479,180,759,213,320,640,658,213,122,913,767,848,923,745,479,578,566,
744,130,742,778,690,834,623,220,256,896,488,611,808,556,497,618,050,943,008,
130,161,647,412,139,039,513,563,979,199,677,913,368,360,516,235,175,672,007,
769,800,325,384,881,452,472,203,017,189,512,454,990,241,525,520,009,535,221,
957,183,804,007,116,927,086,995,958,419,215,692,973,070,051,055,860,303,444,
083,908,831,606,681,052,590,718,455,058,998,297,141,926,368,243,254,321,315,
454,375,596,082,290,745,942,153,172,624,637,988,326,521,113,485,589,471,868,
467,631,683,449,708,295,278,806,959,842,660,034,651,948,568,821,002,004,274,
456,536,086,920,382,665,676,354,123,991,743,177,950,109,760,707,497,176,133,
579,824,918,793,796,691,491,499,241,566,972,577,854,186,181,889,748,090,803,
502,158,749,419,467,625,053,597,449,551,753,716,653,477,777,673,128,958,743,
409,158,442,497,415,315,945,188,712,397,039,549,411,932,051,071,981,420,746,
382,520,830,918,841,607,010,761,954,594,969,717,785,791,050,449,013,024,370,
875,104,190,883,759,778,218,766,273,133,828,760,857,223,847,836,069,317,259,
253,846,623,170,405,478,579,135,723,321,141,830,088,875,997,578,190,567,475,
645,071,678,640,723,437,103,851,364,644,245,957,178,329,409,568,402,745,190,
272,550,074,972,172,418,428,169,565,245,833,739,625,198,772,647,855,120,967,
798,189,971,892,525,600,362,640,845,577,135,907,675,610,005,855,519,573,269,
698,004,518,866,913,000,878,908,059,912,174,356,515,486,505,568,544,013,432,
142,889,952,813,419,077,404,864,469,687,105,030,684,729,245,337,279,821,343,
418,688,112,475,271,597,697,074,919,616,462,232,234,832,021,054,618,759,422,
914,855,680,011,149,247,106,348,858,825,719,447,656,417,532,168,909,684,951,
077,649,846,071,073,257,250,369,582,990,964,215,251,877,650,797,963,636,302,
508,464,901,197,592,756,205,754,667,273,564,919,921,970,816,833,956,101,695,
381,757,712,661,878,911,568,183,553,951,837,838,903,702,687,431,708,459,382,
357,498,841,780,753,573,241,576,192,053,546,083,034,310,614,974,803,726,605,
754,933,328,582,296,028,934,600,816,201,275,844,804,812,045,414,349,912,423,
571,670,826,930,261,913,564,287,732,489,558,203,595,452,435,352,073,630,992,
731,942,723,768,584,588,766,907,026,397,108,431,511,927,546,807,038,512,833,
969,392,061,160,737,499,160,550,700,327,287,724,294,828,719,597,377,228,229,
293,560,628,458,480,623,708,285,976,235,314,775,301,739,758,172,779,732,503,
994,328,544,755,135,081,403,672,678,208,088,380,729,817,419,724,689,201,202,
745,113,603,686,111,181,910,598,113,786,876,032,789,020,343,087,476,429,209,
245,090,734,179,251,134,623,056,755,166,779,409,207,783,142,440,308,073,992,
836,767,132,020,461,469,651,920,716,067,371,819,627,905,740,341,778,430,982,
132,475,930,589,457,843,628,441,797,116,415,365,810,302,466,756,468,225,539,
175,822,800,001,386,146,674,244,152,584,870,838,778,280,141,765,752,211,041,
802,491,518,357,458,378,790,662,405,899,015,496,824,398,405,321,606,571,054,
603,973,943,219,281,343,492,066,159,955,730,901,574,694,039,584,082,333,053,
856,024,427,376,585,155,756,102,983,947,980,951,759,876,012,414,321,080,295,
308,997,653,276,358,538,574,211,784,736,184,442,851,227,023,634,122,300,000,
253,114,488,941,277,004,403,220,598,724,454,372,024,779,672,412,558,951,195,
810,622,373,540,345,011,462,292,472,425,071,831,651,435,748,998,049,892,202,
525,971,425,529,823,824,246,275,016,810,678,625,722,419,884,226,997,526,695,
560,770,893,247,130,410,715,893,352,836,814,496,778,631,558,863,242,261,590,
903,501,939,984,787,046,263,123,030,135,505,667,329,605,320,640,045,292,822,
357,936,443,210,290,623,549,058,454,546,277,167,385,756,541,003,851,097,265,
850,170,412,167,915,743,753,717,791,084,372,360,403,296,627,221,701,463,710,
572,221,973,677,239,963,945,970,858,557,158,121,149,871,213,861,715,679,962,
059,081,494,617,115,863,846,485,208,707,190,559,205,568,921,980,331,809,756,
612,388,342,951,311,836,765,891,189,007,856,112,803,468,059,246,344,662,631,
729,343,991,324,634,973,751,858,615,347,677,952,189,372,829,877,342,248,105,
663,704,722,637,488,649,809,430,308,488,468,545,109,144,098,869,565,301,696,
792,291,349,547,614,222,495,583,261,521,733,512,313,888,162,079,978,686,699,
861,284,574,335,978,100,650,760,543,128,378,269,444,934,316,589,265,129,189,
506,317,328,291,570,003,102,943,810,156,751,129,059,461,829,097,668,797,521,
808,419,346,824,889,725,390,001,378,168,209,763,390,659,122,455,264,891,721,
773,369,741,758,898,006,554,487,785,107,497,055,477,340,457,195,781,750,826,
309,897,388,629,593,561,708,900,954,570,471,731,089,722,411,223,346,383,533,
187,883,571,169,695,600,628,227,037,204,062,700,919,717,264,873,187,763,214,
916,542,401,229,174,215,500,621,364,245,683,619,033,488,805,906,402,409,750,
879,437,268,397,904,481,367,778,347,659,776,142,825,296,548,206,204,849,620,
170,050,509,966,938,950,322,020,504,260,345,361,226,209,294,336,477,802,934,
088,060,586,999,081,047,575,471,587,961,873,542,318,224,376,617,333,806,405,
558,234,563,249,741,642,452,663,231,709,591,182,886,877,338,113,365,983,405,
965,892,771,464,490,135,373,659,854,250,661,112,670,429,829,960,890,725,220,
033,765,134,166,331,071,962,892,016,482,099,445,075,838,027,450,007,368,023,
768,809,848,619,087,187,775,226,235,431,187,559,322,459,526,865,558,862,553,
747,591,222,958,758,834,456,779,384,357,558,109,602,576,689,498,528,381,726,
447,884,644,834,791,472,563,670,565,336,034,675,515,312,151,082,320,027,673,
932,048,604,803,545,455,208,059,655,991,447,681,163,017,737,321,924,755,404,
230,332,961,830,704,711,814,464,306,497,831,609,768,854,494,410,416,385,817,
054,377,973,290,660,969,350,137,500,831,490,236,983,204,751,648,292,968,903,
236,618,688,517,274,718,315,273,529,666,693,877,276,504,266,621,188,571,038,
905,600,680,531,990,459,078,400,883,609,730,316,377,026,322,264,873,900,165,
150,678,798,682,452,232,391,408,920,883,639,906,117,611,899,063,425,189,291,
662,266,613,548,490,041,524,887,052,927,728,069,487,757,476,119,502,561,131,
475,758,468,501,015,243,142,786,719,136,997,892,439,223,629,791,031,133,925,
816,182,019,785,538,609,992,022,659,482,246,645,480,667,937,013,958,131,246,
117,564,619,362,551,056,714,592,252,774,481,277,437,648,966,341,124,073,076,
860,336,508,414,765,567,134,800,749,210,020,609,477,200,081,345,821,120,284,
535,393,350,101,422,758,910,763,177,960,014,863,017,669,514,070,194,659,996,
792,792,074,003,856,267,124,505,577,741,454,736,659,580,273,707,589,040,940,
853,354,774,960,964,709,590,082,746,924,885,089,446,223,855,357,087,157,686,
373,882,636,560,705,749,867,083,649,219,287,767,598,637,987,977,497,030,417,
723,844,697,776,043,296,211,712,404,506,826,958,092,418,811,315,115,705,779,
336,499,535,832,388,740,233,662,248,358,181,362,533,722,766,215,666,134,581,
105,125,296,057,864,022,504,060,085,822,777,318,622,451,133,676,175,542,094,
178,988,650,492,454,694,176,140,339,514,744,579,960,050,827,271,833,025,940,
540,166,874,103,076,648,725,815,545,103,660,733,030,112,222,565,156,024,537,
850,828,173,656,357,399,385,348,856,598,655,540,709,421,387,513,999,846,831,
731,264,524,301,228,408,632,260,819,286,299,438,407,138,867,413,046,669,780,
153,153,582,193,384,864,749,061,752,167,075,308,432,384,384,231,340,184,505,
189,311,460,608,806,474,050,390,338,755,377,095,844,837,016,827,605,993,048,
049,983,921,607,921,365,796,171,856,521,803,814,803,995,103,326,446,050,233,
089,480,677,518,647,029,570,953,684,443,975,902,328,568,675,141,833,773,380,
330,071,774,802,945,789,883,951,493,300,613,087,789,342,420,733,814,795,121,
081,312,578,361,620,784,054,429,507,086,539,532,690,921,796,957,482,437,088,
821,734,209,659,180,043,144,090,727,034,835,567,618,410,083,899,820,669,131,
189,768,723,061,490,138,673,879,938,733,255,651,481,288,005,999,383,080,542,
726,865,281,668,092,324,093,507,120,881,956,655,297,787,100,188,889,376,941,
968,945,639,231,923,662,483,877,217,288,597,622,034,229,236,132,160,294,780,
216,550,381,095,575,679,429,570,470,434,037,361,191,885,746,332,349,902,435,
640,874,335,297,748,050,282,351,765,998,339,420,138,964,662,977,135,379,187,
796,939,017,728,491,955,633,488,780,657,203,776,158,809,290,056,603,245,772,
626,872,668,656,290,107,943,744,046,229,135,475,298,154,384,745,696,553,078,
185,366,118,158,423,271,211,594,780,734,638,941,043,166,609,256,334,225,190,
373,261,026,894,285,029,197,249,919,954,826,167,515,655,096,723,396,333,289,
989,690,279,692,176,649,366,219,421,414,838,541,527,164,583,789,263,237,482,
075,548,629,183,373,968,354,282,582,114,180,849,718,636,213,161,253,512,295,
871,165,713,794,001,528,097,407,118,049,865,881,953,427,224,541,387,813,443,
239,660,700,549,714,383,338,045,977,226,125,968,033,771,414,201,040,207,638,
700,018,210,208,506,205,808,854,409,984,604,680,191,753,554,779,042,591,860,
039,287,216,864,209,372,391,352,592,349,042,260,952,485,724,391,287,411,489,
760,979,894,518,359,993,601,530,672,775,577,539,653,835,060,896,321,415,753,
820,810,167,593,018,207,607,232,408,016,612,857,539,763,171,917,212,070,330,
933,358,011,581,553,960,909,616,448,254,544,835,022,192,766,861,304,869,345,
464,069,864,890,285,020,011,657,383,870,572,592,571,962,757,273,162,899,621,
042,176,675,988,556,344,871,188,350,766,380,946,481,931,666,726,501,570,103,
957,152,108,401,325,497,111,861,872,000,303,146,061,361,384,431,373,628,813,
091,685,223,840,722,610,916,639,459,421,628,614,197,387,058,468,046,767,925,
754,437,619,770,233,273,804,474,663,082,935,498,397,143,337,181,587,430,283,
607,393,259,576,753,508,094,617,723,754,627,949,791,375,821,921,211,689,116,
061,053,169,635,786,303,820,683,427,428,545,951,405,404,459,515,158,692,171,
003,612,348,969,787,346,303,406,040,682,617,032,164,268,595,462,559,838,249,
306,203,114,491,853,585,594,158,189,608,634,164,219,340,285,473,407,216,673,
294,879,190,076,287,999,598,480,381,991,219,795,136,066,048,853,548,438,140,
970,647,071,024,444,574,877,290,941,714,713,122,406,428,729,687,798,337,908,
993,776,930,154,515,700,402,006,416,788,172,632,728,841,413,225,451,636,338,
090,571,559,228,085,350,355,584,047,684,762,802,231,402,309,070,799,993,439,
267,554,439,205,750,722,649,180,554,554,969,816,059,525,258,585,104,292,601,
152,365,204,728,406,193,597,630,408,017,598,932,134,033,516,273,417,618,510,
718,585,675,237,410,553,907,335,276,044,423,085,460,502,926,295,277,856,669,
789,151,625,681,266,796,781,607,968,867,112,663,937,105,111,266,668,939,058,
965,415,890,603,047,977,668,058,305,005,547,575,312,607,145,908,886,656,426,
806,499,914,282,278,865,925,118,490,332,922,840,696,783,186,523,726,871,016,
797,147,472,502,729,813,211,621,452,989,103,601,993,472,021,689,857,999,561,
462,826,020,566,759,084,100,509,081,430,312,384,243,549,993,954,691,294,500,
953,459,004,113,695,776,693,259,901,007,886,963,142,935,148,700,439,559,995,
078,470,332,117,860,315,812,948,316,509,046,432,158,123,302,966,465,148,750,
769,538,219,519,448,088,551,576,876,079,984,859,227,975,967,861,082,511,645,
147,279,555,096,351,056,278,014,927,686,071,153,633,770,147,938,657,017,132,
384,391,449,707,549,430,355,448,324,299,696,864,291,582,704,976,124,994,648,
101,728,821,174,029,426,675,853,807,649,017,116,459,917,205,566,131,812,450,
014,026,117,731,572,853,258,321,178,157,672,464,624,898,275,811,335,001,763,
577,360,788,180,449,597,234,792,164,805,197,692,197,204,311,330,545,285,882,
283,212,095,730,524,100,097,069,381,401,183,110,913,658,531,329,600,424,344,
374,362,908,266,076,019,116,214,361,211,090,006,078,408,933,954,947,707,384,
126,832,200,309,113,571,757,506,601,465,235,290,534,561,097,872,314,235,453,
304,982,647,872,684,364,137,553,210,080,135,302,930,161,481,728,547,342,635,
970,540,341,091,808,887,332,182,587,869,839,602,953,039,793,447,689,707,770,
139,913,260,946,257,028,437,587,930,758,363,142,591,663,410,270,623,536,144,
646,130,559,359,106,233,387,695,395,969,558,583,839,365,778,196,826,886,883,
342,402,119,370,007,407,308,034,779,745,632,593,758,719,201,773,552,012,266,
099,230,899,967,745,003,736,192,543,299,493,262,207,930,851,848,449,419,646,
357,112,559,408,362,637,135,427,714,722,494,201,785,774,061,325,706,158,020,
270,853,085,642,579,573,455,922,680,924,468,163,436,794,372,838,178,930,124,
723,552,449,714,668,361,186,470,204,176,013,811,353,973,689,540,067,529,527,
849,521,861,609,876,919,210,501,426,139,062,377,775,173,203,476,457,721,013,
676,605,929,773,715,141,003,659,131,313,565,997,165,486,126,065,689,732,126,
869,911,025,350,458,735,372,851,072,629,702,778,812,350,965,071,552,566,070,
610,495,918,222,529,700,090,818,840,097,318,219,733,129,019,183,131,049,989,
955,616,014,732,839,626,531,522,385,142,218,075,395,950,846,332,547,016,883,
475,338,909,064,447,050,194,413,710,847,790,770,592,949,729,198,393,153,295,
217,630,652,951,992,975,395,710,235,034,206,157,682,987,865,776,583,613,848,
141,886,997,899,081,232,184,817,769,624,539,396,559,082,714,387,230,906,217,
873,144,643,483,598,116,717,761,978,414,908,022,252,678,187,053,350,026,073,
752,931,633,883,538,066,653,028,035,986,256,604,235,598,063,587,943,545,948,
818,251,836,082,733,004,739,078,654,437,491,480,847,233,059,605,620,419,073,
806,206,986,734,303,733,147,511,224,352,235,081,003,305,077,660,960,292,154,
806,411,511,242,892,153,484,293,171,574,203,580,489,563,380,107,252,792,706,
989,793,978,712,290,401,553,885,522,316,787,517,807,175,482,444,080,306,395,
473,927,240,323,215,751,755,632,675,247,359,643,786,805,025,790,806,239,343,
583,538,912,485,592,374,043,163,141,362,520,728,962,084,974,598,570,329,720,
652,944,213,431,542,795,435,178,793,395,448,923,002,051,876,889,043,431,601,
423,940,244,038,078,713,030,259,603,376,999,656,506,620,207,051,241,922,504,
361,033,700,065,924,209,333,242,869,331,350,808,315,884,617,972,038,376,864,
650,532,697,951,796,501,792,408,105,576,626,729,935,123,268,075,232,491,873,
740,095,770,040,140,633,623,420,603,838,481,611,737,690,513,360,226,948,870,
620,744,330,144,419,804,491,757,625,180,005,838,063,835,041,876,911,074,595,
119,988,732,869,225,410,215,276,197,592,596,292,531,693,133,179,552,265,471,
835,282,747,633,510,997,518,038,644,757,241,980,154,501,251,721,498,276,784,
269,516,475,202,245,921,823,522,409,505,058,660,662,950,038,619,056,458,431,
591,251,397,112,320,354,889,453,257,282,360,602,849,474,950,398,057,092,254,
956,062,828,615,303,162,155,049,989,291,092,055,776,327,074,731,016,535,156,
175,398,081,092,170,231,460,778,920,679,349,072,716,168,257,882,981,799,898,
843,914,461,435,262,175,759,992,391,376,807,303,731,661,881,923,485,634,492,
241,367,671,813,534,493,898,895,909,277,961,416,691,929,497,775,137,435,602,
913,213,037,111,650,393,736,108,907,188,776,637,011,150,468,069,468,021,769,
063,760,026,867,078,749,851,159,990,957,334,548,557,817,638,177,178,158,845,
417,667,485,143,211,240,457,741,765,292,062,297,004,276,464,871,954,778,985,
863,689,237,576,664,603,521,127,669,416,802,748,001,097,808,029,349,820,277,
754,221,627,758,466,061,618,904,957,617,635,614,382,843,019,066,771,218,158,
193,743,938,559,747,668,352,689,421,195,688,876,727,120,258,351,078,092,653,
067,420,798,336,978,222,847,679,384,010,200,077,033,267,745,048,835,282,300,
353,960,157,902,027,665,356,964,764,206,303,441,893,043,442,457,811,911,537,
729,068,221,203,233,224,632,206,043,129,942,756,796,655,732,896,436,984,498,
754,791,579,679,918,764,958,727,568,360,367,345,988,164,880,057,462,277,484,
355,063,151,174,555,454,073,893,374,321,957,892,931,236,207,067,355,183,114,
536,805,576,456,863,999,668,636,837,080,465,671,741,039,829,309,775,701,206,
402,246,007,113,503,466,054,317,937,602,937,245,318,674,841,519,293,480,120,
709,274,140,938,373,031,227,688,240,150,186,948,955,539,959,496,954,896,998,
864,414,390,787,142,756,295,768,869,811,857,995,763,844,663,103,260,714,807,
556,557,977,553,938,866,794,209,781,778,203,749,865,536,205,437,696,754,542,
398,495,341,025,963,721,181,343,427,152,683,276,363,976,337,272,639,453,823,
967,605,518,017,377,813,681,918,139,086,810,414,092,561,405,550,377,307,147,
748,912,145,371,590,747,045,801,704,980,002,239,471,365,009,340,306,477,050,
745,131,188,365,170,838,957,639,903,236,307,579,485,241,169,580,232,161,444,
368,168,722,270,549,225,146,232,346,422,243,413,526,780,035,862,043,206,651,
347,462,723,461,928,199,443,536,247,490,550,501,898,974,807,952,928,375,099,
362,433,060,582,336,284,350,589,074,907,279,104,674,628,329,833,685,098,198,
854,701,071,534,485,222,551,117,632,387,070,796,530,063,372,886,242,020,738,
973,640,606,039,373,349,106,055,330,403,316,443,041,721,723,515,899,763,448,
149,460,661,162,270,045,203,585,197,782,935,410,674,769,792,591,380,556,687,
843,588,517,867,272,750,824,406,275,091,213,301,864,902,202,525,519,921,677,
853,120,269,221,853,587,875,235,747,281,145,919,221,461,545,349,044,474,082,
521,128,147,902,822,808,909,321,785,034,058,275,057,197,978,229,687,375,185,
334,016,971,643,363,601,650,781,689,806,253,791,269,713,292,701,752,297,004,
288,326,421,380,674,696,831,651,469,437,741,737,028,262,367,520,620,694,054,
170,048,405,471,774,728,579,184,603,290,416,623,912,930,031,030,277,140,136,
913,704,806,375,560,445,181,457,253,680,202,249,928,675,963,511,342,580,945,
141,134,030,187,406,952,755,903,903,398,628,882,512,001,167,789,864,415,213,
339,024,294,959,908,783,717,090,882,022,110,167,920,841,030,746,398,260,798,
528,507,419,588,166,385,590,467,956,191,558,472,934,161,338,736,821,150,806,
848,124,552,070,700,361,748,692,788,445,800,308,209,257,213,694,209,036,353,
747,167,902,767,464,178,365,506,930,422,490,669,371,865,278,836,036,112,094,
377,565,419,403,091,350,656,258,771,958,117,997,788,780,867,969,341,285,533,
048,964,532,425,430,721,765,095,499,195,842,894,702,465,720,562,634,134,589,
291,227,165,695,118,715,737,400,321,597,177,630,386,522,267,265,047,756,086,
899,672,299,663,588,627,242,391,853,950,862,008,251,570,775,481,823,155,937,
434,495,645,614,858,691,457,793,332,794,108,326,154,358,652,475,431,580,212,
872,957,599,765,817,589,987,148,253,898,888,555,550,525,472,505,622,824,743,
115,294,540,227,132,466,016,497,523,554,403,387,590,278,746,412,152,940,506,
315,878,154,324,782,928,999,168,966,303,693,654,715,653,035,575,874,846,186,
047,989,697,204,550,551,766,247,624,240,012,501,377,297,389,416,143,875,083,
895,223,328,196,636,084,683,104,377,022,343,875,630,564,353,950,429,602,680,
859,494,295,682,156,032,333,340,712,126,144,758,114,755,384,795,355,771,027,
918,004,838,864,711,156,825,871,440,795,723,334,109,809,932,808,503,022,150,
725,971,122,609,555,383,871,437,960,171,081,913,718,967,141,777,313,448,565,
715,706,757,809,547,374,659,042,874,391,384,329,798,815,250,020,390,523,936,
144,810,434,050,089,830,346,213,096,232,292,204,365,886,020,672,549,105,443,
896,691,109,596,823,056,233,632,361,402,520,458,043,617,087,480,892,073,964,
067,371,437,301,289,705,854,856,479,848,887,090,680,527,862,551,174,879,413,
867,679,556,979,183,418,594,952,115,346,486,742,991,914,846,336,037,280,297,
590,978,145,647,205,657,780,133,021,198,579,753,693,317,656,303,467,851,842,
890,315,196,202,648,619,741,655,993,821,519,580,460,402,765,189,155,762,414,
052,938,511,211,623,181,280,459,800,906,228,181,580,355,043,704,662,852,737,
906,375,754,008,358,819,783,642,556,271,010,233,249,015,650,562,196,474,399,
045,397,975,664,148,295,734,816,193,445,196,772,211,081,853,005,751,890,380,
917,900,950,932,016,668,708,237,021,267,183,134,014,333,941,792,552,669,244,
989,554,632,237,680,543,632,518,474,539,527,631,964,715,030,529,615,971,986,
893,409,604,642,969,044,161,754,050,385,568,189,509,369,730,174,218,493,563,
760,281,184,806,187,536,796,192,457,997,849,996,210,345,961,936,575,838,278,
144,726,146,863,679,677,693,397,930,630,750,289,946,180,611,330,758,324,047,
347,339,492,546,705,853,931,060,906,498,553,609,528,669,644,674,798,881,898,
472,220,195,017,336,763,341,913,398,689,247,459,911,167,631,476,164,585,794,
241,932,171,641,295,331,404,668,408,827,186,101,985,653,027,978,300,490,881,
390,981,545,916,160,384,126,151,756,941,886,658,824,270,731,728,621,737,269,
063,967,352,872,287,356,856,014,265,594,231,471,775,017,713,416,252,305,578,
045,253,696,006,971,850,990,563,903,591,684,234,684,641,829,000,702,828,140,
595,308,924,055,816,426,690,589,903,588,848,790,986,184,018,592,739,674,125,
272,334,529,693,094,527,949,148,114,385,436,255,799,717,582,166,772,464,342,
544,840,691,730,394,069,857,472,060,128,424,338,092,006,427,778,147,207,864,
821,241,548,533,754,705,913,633,541,388,134,924,992,570,766,002,080,756,072,
338,368,012,037,831,553,550,416,050,767,572,160,366,544,726,066,411,837,716,
929,780,792,046,129,406,675,130,289,384,872,967,409,744,029,759,719,326,950,
467,679,391,128,621,895,163,625,155,784,749,073,681,718,902,335,428,224,664,
271,275,540,715,591,750,259,081,823,146,144,355,641,083,448,659,858,292,207,
437,067,077,128,726,535,522,454,056,401,520,296,250,880,725,801,618,983,314,
465,661,351,353,271,188,683,027,224,167,176,950,324,995,418,048,586,382,738,
809,033,286,034,702,364,578,470,330,338,505,228,112,063,256,503,777,910,447,
654,040,627,271,427,884,768,371,105,004,237,235,098,884,380,193,032,957,090,
125,447,825,498,194,673,137,341,244,252,590,469,701,719,269,191,405,332,264,
751,574,934,561,540,324,004,792,728,618,403,646,739,575,286,115,141,031,599,
939,727,682,003,718,631,759,804,622,199,028,530,408,986,613,934,332,902,302,
731,545,913,957,930,753,519,465,417,258,696,685,786,652,121,766,231,356,995,
522,906,323,321,384,469,950,066,524,469,898,816,039,021,581,103,953,870,092,
789,064,597,292,363,150,932,320,153,733,746,071,647,281,568,842,207,051,918,
270,803,607,951,429,164,710,333,618,382,634,875,527,138,090,166,594,954,955,
764,206,208,927,185,449,123,456,153,764,373,843,096,970,055,641,729,663,682,
978,309,737,931,490,976,257,981,621,619,767,850,537,331,448,556,265,292,581,
299,562,565,166,367,637,744,053,985,000,131,518,046,287,540,848,743,579,097,
527,146,887,023,782,580,703,723,680,039,235,094,833,540,398,046,196,507,746,
968,117,813,377,404,291,322,843,321,861,025,529,044,374,396,416,796,065,755,
276,604,689,232,060,880,223,382,323,425,852,494,009,919,779,872,811,130,257,
253,598,440,770,156,052,317,992,957,582,043,301,643,769,415,561,917,769,523,
412,752,653,165,756,818,485,390,644,375,033,517,938,977,572,320,084,293,451,
639,170,072,480,007,822,947,334,666,577,638,393,489,881,284,932,289,029,087,
604,079,466,078,741,951,988,759,710,231,630,854,706,157,003,162,611,230,229,
874,826,861,704,279,431,304,870,377,754,339,866,588,021,812,943,775,485,508,
695,656,594,492,385,782,120,227,427,791,270,907,090,972,870,020,651,398,266,
809,767,453,263,631,934,831,541,285,331,134,155,949,465,665,221,360,710,716,
192,561,024,875,766,712,020,361,238,627,171,012,231,999,231,673,329,929,574,
257,739,503,014,304,843,837,062,097,886,994,546,852,013,944,806,194,657,834,
867,288,068,773,774,767,061,348,939,483,562,319,751,754,244,923,252,149,319,
361,055,657,300,783,575,852,831,474,545,632,757,221,610,900,069,756,575,312,
234,801,843,695,979,356,095,403,652,060,401,236,237,162,154,290,475,481,113,
941,266,178,806,366,778,335,435,373,976,424,941,640,249,719,978,538,319,106,
743,050,427,915,638,100,310,032,706,818,062,487,963,150,537,233,498,474,773,
614,716,289,638,449,975,470,067,811,751,186,569,788,573,331,918,992,327,266,
232,680,788,821,199,032,546,293,009,170,036,956,893,736,584,209,528,044,374,
910,219,821,341,678,004,995,238,633,252,126,816,593,491,068,429,007,262,722,
188,374,164,017,808,391,975,216,721,070,513,062,390,465,161,263,463,688,501,
890,470,404,705,794,432,321,743,252,945,053,790,139,206,369,704,992,596,982,
873,612,609,124,144,119,464,689,739,356,419,291,212,609,904,490,580,715,625,
507,317,721,676,999,387,823,897,411,710,417,927,908,504,342,746,298,388,461,
301,603,710,681,346,567,858,641,749,789,373,171,633,750,216,356,836,495,912,
588,360,833,930,023,302,984,612,537,944,388,175,120,492,624,596,356,148,186,
910,398,288,238,445,810,165,703,317,686,544,349,047,117,627,988,327,733,477,
170,505,297,448,528,040,783,216,213,276,074,191,268,647,607,756,249,500,729,
970,396,435,352,801,594,869,790,805,584,072,259,520,327,762,773,768,133,462,
785,413,624,784,768,915,387,388,054,555,882,750,942,705,168,753,842,728,077,
212,372,273,406,217,210,936,970,436,341,469,679,471,611,778,518,171,360,984,
677,111,683,207,408,579,398,158,046,934,340,156,022,964,087,027,864,302,210,
089,074,474,799,714,073,784,566,973,690,621,933,763,894,377,697,825,082,580,
708,987,304,985,287,822,759,670,917,056,018,000,210,525,553,346,725,292,480,
754,839,452,804,131,661,135,445,602,257,735,862,845,769,680,150,289,125,624,
788,121,889,956,794,517,549,544,875,664,194,089,840,689,086,441,965,806,776,
155,936,906,463,248,533,347,362,257,849,068,095,585,756,791,294,115,021,858,
930,557,345,519,325,501,062,664,149,587,235,025,680,364,190,575,447,705,397,
935,866,227,007,482,069,951,052,112,756,212,558,313,881,975,139,588,430,554,
150,261,084,180,493,829,076,760,737,647,285,099,252,911,153,324,713,965,158,
888,539,219,432,945,179,515,875,718,367,896,798,491,434,114,649,305,895,072,
163,763,501,798,499,915,681,966,358,725,240,098,941,290,333,537,682,907,604,
674,251,614,302,608,692,048,753,275,890,252,378,660,237,180,838,838,373,294,
585,914,446,002,929,553,456,012,023,718,007,890,602,615,767,156,954,055,383,
504,922,343,974,424,375,622,517,185,166,620,456,164,784,477,400,873,425,688,
926,551,531,258,144,419,253,685,328,779,432,102,061,706,589,671,028,078,532,
140,392,314,242,657,996,707,099,810,606,342,235,196,280,800,594,489,497,175,
509,153,185,869,597,706,299,915,852,700,313,966,994,900,954,694,251,530,281,
302,856,127,008,404,127,327,581,791,971,844,090,644,297,619,563,130,278,870,
681,572,700,066,060,654,418,596,588,610,157,232,037,892,884,732,327,875,396,
237,136,526,807,320,941,720,023,171,212,283,818,393,904,494,916,937,960,459,
803,823,522,678,916,792,793,151,880,646,355,170,227,066,147,374,462,714,418,
804,290,624,604,056,723,628,967,585,408,082,212,941,877,341,610,394,662,366,
902,970,256,124,576,056,492,860,245,519,016,903,353,350,061,642,909,613,399,
890,750,523,359,267,602,817,331,987,043,333,307,101,124,974,589,823,727,183,
525,963,196,221,736,184,729,468,248,892,008,116,611,177,585,093,405,510,634,
124,086,383,928,167,793,261,476,522,095,850,367,447,539,330,827,984,595,986,
418,056,614,271,335,697,964,863,878,063,285,276,581,083,830,690,072,570,884,
947,564,234,067,545,996,110,714,517,088,368,479,207,443,308,723,437,657,862,
599,328,891,070,688,369,596,859,410,907,842,898,721,452,357,538,185,438,351,
506,165,454,784,155,259,753,601,659,545,289,686,113,178,055,933,125,842,182,
162,129,660,784,449,249,171,788,873,238,857,219,678,864,530,117,697,827,573,
877,031,210,641,496,957,054,133,496,902,220,934,093,408,412,339,053,845,373,
336,787,366,853,317,820,319,824,768,403,109,382,750,574,481,993,151,050,899,
416,177,788,860,582,673,759,957,929,848,680,503,185,957,587,671,311,994,528,
600,513,209,952,664,214,276,621,710,568,199,011,284,533,957,703,717,701,195,
793,329,618,314,437,032,146,478,522,294,479,894,100,282,199,435,584,610,138,
663,799,177,452,694,059,962,936,500,601,668,888,349,375,792,050,829,273,038,
362,209,466,241,589,346,948,618,694,297,902,030,335,905,665,296,655,467,003,
845,432,138,389,841,656,775,564,554,021,579,383,558,511,992,376,390,751,764,
535,585,456,193,727,657,786,032,477,620,638,298,327,623,179,782,629,981,082,
173,551,982,979,873,061,025,938,510,300,543,219,668,081,736,764,216,728,124,
385,527,385,613,823,579,387,034,155,990,594,136,968,427,210,225,555,925,196,
029,589,367,822,070,462,280,212,685,885,703,261,599,927,815,656,758,514,176,
166,714,602,419,254,738,249,368,240,240,912,138,605,061,936,832,055,644,508,
865,103,292,769,687,123,638,471,135,384,830,577,958,874,653,418,390,007,187,
436,954,552,578,356,669,933,182,522,983,749,862,556,685,954,936,726,994,932,
213,056,562,996,053,993,084,207,130,564,780,623,947,848,550,891,742,069,399,
404,724,646,038,099,679,356,877,669,517,952,690,818,602,849,740,567,251,547,
035,400,522,621,798,888,831,987,136,654,694,737,769,838,045,804,352,919,798,
277,202,882,437,772,821,588,104,630,428,888,661,705,606,975,783,416,846,840,
167,490,366,560,912,942,143,966,981,050,829,945,249,290,621,294,666,318,542,
507,523,759,686,656,251,312,299,021,841,493,866,340,869,087,620,596,896,363,
253,352,987,740,937,485,339,343,537,250,119,736,259,564,414,010,560,684,957,
225,388,237,118,358,533,928,603,607,631,931,494,984,217,241,611,536,599,100,
146,616,416,886,683,057,509,362,629,437,651,939,221,982,737,678,464,545,893,
571,207,756,732,402,889,913,685,620,715,139,953,455,905,876,132,682,562,505,
849,551,376,209,798,001,335,477,780,910,298,523,926,462,460,532,943,232,010,
225,237,252,881,296,940,052,888,017,421,091,754,913,353,589,010,493,415,759,
083,304,888,648,367,776,801,709,512,627,684,353,382,442,262,394,747,768,161,
164,594,455,952,090,863,961,968,620,494,838,401,577,155,116,849,702,163,336,
698,086,294,623,624,537,906,022,769,782,101,156,432,031,346,908,501,712,825,
525,327,186,969,526,032,993,373,898,980,606,018,217,595,883,030,347,160,496,
712,229,211,414,221,015,541,292,618,788,730,211,279,654,248,135,206,563,426,
002,543,349,760,467,084,117,054,297,188,154,198,397,190,224,566,600,882,190,
040,957,033,257,986,878,980,249,914,261,308,065,702,900,320,052,827,251,574,
522,726,703,639,993,990,030,421,408,711,361,193,254,732,175,196,315,637,951,
561,764,595,582,207,567,752,656,198,337,824,497,092,665,003,920,465,981,363,
594,773,161,577,092,314,886,480,753,431,462,956,240,691,151,514,234,769,012,
676,745,785,284,573,736,458,466,458,699,293,302,455,958,850,150,676,581,711,
397,852,285,966,200,976,011,842,716,719,860,907,300,866,104,779,572,717,225,
929,181,025,729,699,441,110,279,983,781,328,157,058,381,364,229,873,194,509,
180,927,555,121,868,440,384,538,373,883,033,924,724,200,576,776,975,028,586,
795,466,427,084,131,477,182,088,045,036,118,092,646,861,388,452,789,075,476,
522,510,631,958,195,212,503,172,533,294,907,843,013,907,143,395,728,070,407,
331,668,166,882,011,442,908,524,442,689,384,049,539,448,545,206,176,107,209,
759,378,810,345,139,246,474,229,377,821,667,730,752,256,348,800,196,977,744,
569,854,799,449,343,926,039,227,910,772,077,395,585,139,971,798,753,244,635,
747,586,385,844,527,936,671,806,252,928,779,617,478,190,203,463,258,214,901,
674,897,835,041,575,640,897,253,939,265,748,212,941,946,533,588,811,184,207,
494,597,120,543,368,089,247,366,080,673,431,120,371,476,539,180,293,135,571,
849,610,664,502,169,564,816,948,446,919,773,959,986,844,146,318,136,056,947,
282,569,872,567,427,645,472,029,636,545,271,096,492,240,604,456,650,194,844,
118,121,137,345,541,239,476,300,116,422,887,062,453,606,175,104,790,144,355,
148,770,548,052,960,680,498,800,736,841,778,413,986,938,042,263,410,893,371,
386,850,915,079,586,007,999,606,190,969,622,325,404,955,624,712,603,091,831,
059,294,916,313,568,813,991,026,614,554,216,906,162,873,419,360,327,290,724,
554,456,711,993,876,708,356,109,771,360,827,017,044,829,236,323,109,626,668,
995,733,053,504,413,420,565,249,960,699,665,756,879,431,689,382,784,052,174,
064,458,619,061,729,568,659,244,287,765,721,451,296,978,962,401,798,994,802,
820,467,533,493,606,737,946,708,850,690,840,108,868,652,822,172,792,587,396,
520,407,392,949,925,900,720,880,888,622,479,273,179,374,573,596,762,232,167,
602,790,907,981,972,003,103,469,145,721,516,683,793,166,279,809,070,899,562,
138,332,158,497,352,866,148,879,499,643,769,449,919,967,432,519,620,824,297,
558,512,193,243,519,333,875,313,138,039,380,920,318,675,849,178,046,182,469,
956,058,881,402,936,844,278,792,281,168,016,742,723,615,525,593,161,076,850,
651,643,128,627,818,858,879,648,508,663,092,337,302,290,316,880,702,814,864,
755,758,516,913,117,768,640,849,069,164,308,695,468,996,809,570,010,591,227,
898,116,464,832,050,567,569,791,993,421,645,960,132,757,122,075,999,192,205,
456,244,057,868,256,429,114,300,115,208,996,938,116,367,661,426,560,562,297,
963,691,873,776,658,054,331,103,486,185,081,587,798,679,223,874,239,420,904,
489,989,026,053,895,073,712,911,281,412,320,746,901,981,460,412,214,698,965,
571,476,509,479,873,549,589,433,584,594,988,194,785,449,551,626,937,765,361,
547,785,977,955,481,560,716,674,322,535,773,686,319,116,858,775,471,020,059,
068,819,787,474,308,380,777,056,637,983,850,596,125,718,167,272,942,854,852,
383,036,736,879,528,983,559,409,481,047,223,049,935,444,915,790,202,070,335,
208,483,006,873,082,848,107,427,738,970,558,566,031,646,386,246,395,971,026,
397,885,296,409,345,784,366,062,001,015,170,497,452,186,840,178,927,060,319,
507,523,780,156,372,246,416,759,861,720,634,294,002,634,406,918,728,645,703,
623,465,918,867,105,561,642,420,012,402,686,431,090,003,766,147,021,249,753,
100,925,841,212,016,241,162,046,401,247,486,833,873,733,081,083,801,836,527,
731,732,894,875,630,029,371,453,901,554,531,794,813,945,569,769,577,562,517,
082,359,195,054,016,956,404,738,302,528,034,340,887,108,333,263,498,735,681,
312,253,905,548,612,219,064,673,617,852,201,158,507,830,775,448,535,674,763,
707,459,613,362,784,960,630,434,849,956,229,438,806,131,429,906,175,382,762,
734,170,978,465,059,838,105,901,468,971,979,076,123,220,229,428,866,513,388,
923,775,293,767,137,101,625,494,148,293,839,617,663,245,476,940,675,312,448,
245,212,105,351,735,693,640,041,648,215,870,796,966,449,230,635,313,518,662,
257,117,762,516,516,702,014,540,101,009,611,010,073,929,525,635,670,310,690,
375,497,938,877,652,182,227,150,053,476,855,942,476,011,762,687,317,909,822,
414,943,401,102,408,379,045,304,763,632,116,143,291,620,390,864,993,633,446,
468,381,849,255,044,826,798,817,667,268,945,914,926,234,762,986,675,448,718,
418,659,635,716,512,864,847,085,927,111,888,483,771,240,493,860,144,349,732,
164,074,971,487,022,700,686,520,977,701,892,202,974,886,498,971,568,705,820,
814,124,117,817,404,987,154,579,155,588,580,183,191,546,198,945,738,989,806,
204,333,175,146,875,646,287,698,555,810,345,018,133,236,771,434,214,608,244,
262,671,500,891,453,769,803,531,890,688,809,687,239,899,165,733,906,159,932,
811,598,593,901,618,131,280,659,398,561,097,526,344,179,866,767,203,212,944,
223,139,047,431,030,847,459,127,599,485,008,697,444,417,309,804,078,886,512,
255,232,604,870,765,108,737,789,622,348,679,214,654,183,754,481,919,847,513,
313,496,038,704,520,383,708,034,498,408,296,730,435,650,110,332,313,685,527,
816,288,862,930,648,553,339,973,451,496,825,854,048,765,789,368,710,545,358,
806,014,059,989,985,795,212,213,067,451,205,813,546,717,559,471,054,709,850,
298,628,555,022,954,548,115,952,753,004,872,866,241,683,459,813,439,492,045,
993,508,861,321,039,949,364,746,899,894,809,286,306,792,301,276,329,260,895,
119,904,119,851,720,726,443,033,880,911,795,277,612,676,449,281,559,689,371,
723,084,328,743,228,662,039,722,027,162,459,030,988,236,908,716,432,848,501,
854,460,835,479,307,137,484,460,497,299,255,518,820,002,490,919,255,737,138,
841,649,950,027,527,958,849,033,122,269,380,441,096,779,640,671,316,577,434,
753,535,406,847,636,234,085,010,806,270,504,631,437,216,523,072,644,045,574,
151,048,990,221,282,360,058,832,548,943,667,407,345,598,432,682,049,987,884,
256,672,855,775,036,787,582,247,638,986,140,320,075,786,965,374,158,696,368,
192,041,969,561,518,514,191,093,871,958,616,001,666,288,153,118,661,090,866,
666,479,747,716,039,174,046,003,583,366,287,811,873,031,252,285,626,815,003,
370,217,818,316,473,149,945,402,565,198,959,304,102,370,290,842,941,984,543,
881,082,960,035,968,665,602,665,460,764,563,937,878,485,506,278,732,356,881,
636,145,981,907,134,261,937,357,450,115,483,264,637,135,932,587,205,925,691,
830,157,579,619,471,434,704,672,097,942,803,440,514,454,650,323,391,472,898,
555,904,137,288,930,361,302,945,295,699,710,746,152,114,530,639,685,859,756,
615,164,495,532,426,024,893,784,087,479,019,232,173,418,200,506,693,117,359,
527,892,382,409,933,194,087,911,856,989,764,700,334,778,623,074,666,138,234,
265,217,818,035,666,504,737,252,666,010,235,013,355,668,883,345,388,144,720,
539,828,785,485,385,289,629,316,475,658,970,613,814,038,032,750,612,966,938,
497,108,872,022,143,890,069,280,004,909,692,524,579,182,784,700,094,609,839,
938,403,006,688,567,774,262,921,215,131,452,369,001,715,383,860,911,163,226,
913,091,579,941,604,393,451,998,843,236,968,594,128,285,338,660,715,137,127,
084,460,858,310,692,274,234,235,916,874,392,418,329,412,405,065,170,479,541,
987,696,987,693,479,386,510,151,892,608,004,546,588,482,170,813,303,588,803,
988,154,672,631,514,209,391,761,965,832,189,010,919,192,331,025,880,804,385,
318,421,473,027,438,605,289,082,113,291,861,880,254,692,433,485,482,946,190,
563,073,224,515,431,304,363,198,606,479,395,708,936,650,000,513,164,473,446,
308,780,349,517,175,339,247,606,097,179,764,162,925,361,225,759,028,069,129,
280,890,894,430,964,645,361,836,581,316,169,997,470,023,132,874,580,880,138,
286,110,467,930,081,158,055,128,847,392,008,331,548,597,277,148,068,466,254,
583,269,330,855,548,391,599,454,008,302,948,644,022,143,056,937,722,410,979,
190,619,704,268,264,956,873,723,312,893,486,809,891,542,172,059,670,551,134,
421,941,414,326,527,932,289,850,196,073,313,415,010,590,109,294,868,716,098,
276,676,068,003,120,068,114,177,169,942,386,157,743,835,864,829,206,863,197,
652,049,632,590,746,354,256,589,559,401,747,329,852,237,931,375,006,633,917,
958,240,897,608,415,951,254,854,624,921,480,766,919,050,074,197,974,339,698,
294,282,236,276,070,723,743,896,792,851,600,905,494,042,390,020,531,260,759,
793,897,674,531,823,577,410,881,083,615,613,073,981,091,690,699,192,465,758,
198,467,642,274,248,116,765,978,385,783,427,775,402,404,875,475,383,727,868,
219,983,329,751,894,488,083,395,021,813,249,163,633,321,750,205,411,948,819,
136,469,563,942,920,136,716,223,339,483,928,425,916,473,414,559,810,469,776,
809,132,932,637,445,943,790,313,998,090,939,461,516,005,526,367,222,865,623,
807,138,733,976,473,057,260,723,081,739,698,826,564,888,044,473,960,374,741,
436,398,167,014,858,162,124,625,665,595,589,430,154,717,182,597,938,170,021,
919,336,589,468,485,063,589,231,944,503,865,261,130,602,907,624,436,834,053,
285,869,271,298,779,035,304,429,126,668,332,786,789,479,165,024,039,025,173,
620,864,063,151,021,482,429,474,091,054,336,357,946,000,590,640,797,465,246,
312,620,468,587,679,171,841,452,936,947,685,569,036,165,092,891,381,951,107,
934,161,639,916,809,618,110,996,391,070,748,003,205,929,586,720,198,405,855,
424,041,671,564,605,975,935,053,254,722,267,025,469,126,955,228,095,825,673,
955,715,047,690,892,468,863,046,260,507,934,231,569,514,255,577,040,051,235,
479,841,020,310,032,952,955,927,323,071,169,285,926,706,525,440,871,173,849,
834,318,987,353,703,818,665,648,807,953,934,505,193,018,416,699,362,413,683,
761,896,563,587,739,529,733,751,871,249,363,333,594,874,236,710,885,523,086,
874,991,482,736,548,667,186,241,383,625,853,662,082,467,851,081,637,594,725,
931,933,364,121,054,827,043,549,380,066,525,139,295,332,713,594,234,790,072,
395,707,785,605,188,773,861,618,054,012,287,182,774,434,017,160,272,828,962,
069,157,981,750,989,402,505,860,139,667,553,748,332,924,749,101,170,769,459,
118,576,060,442,409,887,825,216,965,449,125,192,913,599,437,610,601,273,302,
053,511,639,502,718,917,561,272,291,599,316,140,456,586,501,659,208,124,019,
416,971,277,568,200,777,601,312,691,244,925,368,006,988,110,940,156,711,854,
509,471,087,859,941,141,881,714,552,729,204,957,377,826,271,718,555,151,704,
877,172,574,985,798,179,548,671,209,919,965,642,347,651,587,860,327,846,447,
066,487,451,339,609,563,489,834,681,182,015,840,198,022,122,710,011,930,880,
712,380,912,296,385,653,675,917,517,191,998,547,899,093,556,389,268,031,753,
316,135,708,431,866,463,214,739,753,911,471,564,736,101,184,434,986,589,690,
052,675,897,334,010,020,118,092,358,587,029,713,859,901,629,545,488,166,305,
902,959,313,053,218,807,503,458,730,991,308,434,892,291,710,121,662,676,585,
608,087,565,957,892,818,575,374,036,997,500,484,273,494,732,416,939,615,857,
160,645,327,909,599,276,826,778,842,758,798,387,618,751,905,031,546,241,921,
761,418,031,829,638,542,426,477,353,787,079,645,411,152,903,751,305,242,843,
138,876,751,366,235,905,699,044,960,029,616,426,376,170,802,308,742,005,839,
151,226,471,021,331,556,243,143,780,227,376,782,204,695,782,541,374,543,166,
425,794,769,910,165,706,344,591,573,640,625,988,362,460,408,058,971,689,262,
703,770,575,543,283,624,164,607,245,307,785,540,427,646,778,297,260,351,215,
237,305,692,384,408,317,668,568,938,270,286,968,088,600,738,011,725,752,244,
764,803,307,946,465,791,460,194,891,652,558,308,678,524,415,251,356,179,985,
142,908,327,867,439,579,264,834,666,326,927,541,786,261,043,932,520,821,711,
352,324,115,075,738,913,561,042,801,633,616,925,681,980,278,946,242,094,316,
083,737,263,957,686,268,105,926,044,389,491,695,281,878,877,489,832,835,328,
215,138,508,122,998,630,468,882,311,036,860,760,297,967,674,278,853,862,602,
849,623,024,768,068,397,976,621,781,395,116,085,989,997,669,487,132,950,188,
410,639,033,335,835,002,549,890,516,743,955,534,266,708,130,288,179,351,084,
735,317,178,790,723,910,532,898,098,352,120,801,934,945,795,878,445,050,591,
676,707,616,404,265,504,139,327,016,016,679,029,974,601,404,440,618,951,325,
643,295,861,323,476,048,843,673,246,905,437,868,753,576,125,625,391,598,707,
772,487,340,719,130,531,989,058,353,345,812,281,375,864,393,581,719,227,526,
445,872,559,570,564,824,825,468,245,228,915,924,477,226,581,074,281,251,242,
655,236,111,871,634,645,707,223,994,882,751,453,363,746,752,367,003,282,868,
697,812,839,680,643,501,218,226,670,576,182,121,466,450,567,905,462,540,383,
186,134,005,701,064,723,943,743,075,198,828,260,865,957,568,070,379,799,138,
657,063,921,212,290,147,923,477,386,193,579,588,669,446,064,841,261,031,299,
079,077,154,097,634,701,683,115,515,047,256,477,799,543,388,999,460,390,319,
968,437,342,342,421,301,762,993,773,842,475,836,251,022,611,502,141,468,507,
032,439,950,525,462,639,013,856,455,902,170,363,959,860,925,415,370,788,842,
389,621,484,788,617,164,218,750,741,141,803,127,032,557,539,542,734,638,334,
407,582,041,885,073,811,046,219,673,956,783,629,321,904,651,807,737,488,320,
560,412,400,629,097,753,648,898,161,048,013,811,971,846,656,318,614,753,730,
457,572,245,287,917,061,186,485,501,555,830,469,337,203,983,381,581,654,021,
500,842,631,429,955,321,992,191,042,252,267,882,336,940,964,588,331,766,296,
168,898,339,188,875,435,662,936,301,719,511,320,681,974,499,191,721,800,515,
347,889,656,001,245,134,159,478,924,071,272,551,998,816,784,470,636,868,575,
630,690,744,872,128,923,285,148,389,631,908,118,330,806,302,659,572,783,523,
295,901,526,616,242,474,684,259,481,161,617,287,646,765,475,820,042,061,774,
362,789,039,192,246,746,196,805,756,288,213,334,371,010,571,876,588,237,721,
197,647,424,562,431,857,913,916,109,461,348,104,291,692,207,306,919,623,389,
632,984,227,451,418,171,673,182,878,919,686,913,816,746,321,798,606,491,943,
023,284,963,427,051,826,054,091,155,674,739,022,550,931,472,312,494,847,445,
208,375,142,006,931,615,640,407,010,223,679,719,249,932,560,638,516,335,023,
378,767,050,990,071,446,223,842,813,427,108,330,878,317,943,144,541,270,586,
434,448,791,448,407,001,020,057,285,695,249,578,161,353,438,078,666,778,126,
098,055,898,915,668,651,860,539,515,916,777,044,451,023,050,803,351,756,124,
841,858,108,220,076,710,862,987,347,063,934,579,284,808,384,707,389,709,417,
625,225,004,670,511,817,508,296,901,683,306,054,879,323,906,121,670,596,460,
253,433,860,898,827,784,246,634,869,558,721,476,866,917,184,963,826,727,293,
890,287,767,797,554,526,907,118,620,096,604,396,868,572,419,112,032,099,452,
962,841,006,567,174,269,284,822,157,127,406,536,693,003,593,913,699,283,315,
922,818,346,722,595,713,549,817,956,364,630,353,026,344,638,323,597,201,264,
007,402,434,884,790,114,995,302,815,474,965,363,019,960,984,091,094,954,898,
364,999,679,020,789,578,300,222,963,785,663,481,346,981,602,187,293,821,684,
097,721,937,126,213,373,402,514,522,250,367,080,317,593,830,348,506,240,276,
866,128,614,041,910,699,924,959,053,253,958,496,963,412,605,464,782,632,430,
003,022,342,446,517,525,420,185,827,298,909,735,152,991,228,288,565,285,824,
163,358,476,444,871,387,930,706,902,224,582,412,278,896,078,715,873,603,168,
439,332,757,854,640,221,194,629,639,398,472,188,836,275,982,055,838,219,651,
641,707,776,909,323,696,193,112,523,067,303,728,040,565,551,189,735,513,628,
395,697,185,904,173,539,020,104,953,854,957,651,200,707,947,177,087,021,400,
144,843,404,189,217,309,658,663,050,844,955,836,521,020,877,329,959,915,189,
594,641,795,997,048,370,643,057,271,892,446,102,981,745,498,342,768,491,193,
073,638,722,181,810,679,872,641,970,866,184,900,746,315,408,150,329,191,485,
967,679,503,248,631,808,820,221,089,259,147,096,573,720,039,211,877,375,007,
602,387,543,313,882,514,497,772,228,459,211,256,355,073,802,942,128,737,260,
788,932,388,801,227,001,150,306,064,026,028,543,928,033,077,627,074,078,089,
750,718,999,421,621,786,609,571,694,392,692,664,326,787,033,885,774,654,446,
564,251,865,113,885,991,713,545,474,763,775,504,677,861,643,279,455,255,289,
355,195,882,138,418,201,765,066,569,082,543,921,076,559,294,731,274,885,316,
806,291,403,832,240,480,377,695,558,766,732,503,485,962,448,454,731,044,753,
157,393,889,219,676,899,050,499,270,641,884,368,889,307,338,891,507,186,793,
456,670,880,026,523,698,020,715,321,449,872,869,466,017,783,945,060,212,786,
575,791,789,200,900,866,877,019,228,995,772,900,633,692,159,236,019,938,809,
364,126,575,803,573,443,882,009,962,495,823,854,076,786,401,261,014,148,008,
756,995,601,406,524,481,190,325,979,398,847,988,452,439,104,531,711,362,683,
140,392,522,317,178,498,350,101,993,848,303,735,568,729,754,781,587,360,130,
561,459,095,104,656,145,040,410,199,560,269,676,888,864,091,327,511,521,500,
235,283,020,407,412,207,083,755,514,977,852,553,565,541,611,717,190,129,429,
832,734,953,508,478,254,594,597,965,323,760,096,260,588,270,614,130,162,485,
664,987,178,036,524,971,345,389,734,347,473,166,171,285,181,798,895,207,802,
250,338,614,648,770,493,466,192,539,476,006,837,371,934,994,996,661,351,861,
860,190,205,454,226,824,251,582,365,998,906,216,929,460,634,346,036,522,397,
010,136,938,428,960,045,110,923,139,132,446,401,486,115,380,676,775,000,917,
797,666,001,451,268,429,790,319,172,083,819,150,463,170,989,936,210,010,171,
696,847,931,081,518,422,304,262,621,557,197,341,380,230,129,820,911,568,969,
288,518,224,053,449,562,373,958,875,227,571,875,637,849,869,268,184,545,370,
649,273,883,694,459,336,380,278,546,864,484,915,112,630,974,241,131,346,374,
601,557,268,912,760,695,987,697,739,209,698,713,380,757,887,049,186,202,932,
759,911,810,821,713,459,795,879,685,198,973,546,805,050,392,434,570,923,059,
732,676,810,815,329,600,986,244,167,281,928,965,929,502,493,349,857,134,099,
440,715,418,490,787,915,106,573,311,532,459,575,176,221,826,209,210,538,089,
911,343,119,555,265,074,027,926,496,556,170,514,781,373,149,090,986,951,680,
558,330,838,560,239,427,215,348,718,615,908,564,729,141,443,593,789,320,533,
330,551,058,487,291,060,004,058,855,963,486,391,532,461,844,002,383,582,888,
200,476,597,507,734,485,232,314,759,240,771,268,200,166,392,427,293,564,771,
943,332,411,272,428,062,611,979,035,714,600,896,587,405,921,076,598,136,119,
802,431,543,930,650,129,787,713,394,105,110,045,757,254,869,629,602,265,512,
434,911,135,353,621,696,254,273,000,666,595,599,171,962,128,910,662,679,615,
092,740,835,777,806,048,928,763,249,964,141,884,866,795,538,401,062,077,589,
160,088,509,579,197,549,703,824,898,622,142,650,128,918,462,438,057,911,833,
627,756,377,491,848,934,126,224,220,062,212,741,628,892,805,229,287,534,369,
515,219,066,624,768,093,465,119,491,586,312,333,338,968,368,563,970,637,605,
074,060,843,339,232,798,109,761,268,154,046,694,671,620,386,152,155,980,897,
509,655,342,482,189,127,715,672,073,434,618,647,414,367,141,104,968,193,447,
199,006,602,669,668,894,882,553,147,349,089,720,091,892,351,121,278,291,810,
073,208,718,293,302,085,988,737,355,092,155,593,107,790,584,026,590,813,592,
523,644,496,233,967,539,449,403,264,480,591,455,006,771,278,951,659,652,128,
973,584,244,872,683,036,972,607,742,142,676,272,444,292,158,360,462,171,737,
640,253,664,732,396,803,855,832,021,353,697,648,768,743,558,464,288,639,035,
819,888,773,844,486,203,447,905,220,342,728,403,466,911,635,608,318,408,665,
292,044,316,216,885,583,969,476,776,258,557,317,708,442,823,091,517,330,876,
372,209,682,240,453,261,574,002,371,747,898,818,437,991,360,761,502,621,007,
166,342,039,285,579,857,397,531,307,382,276,047,551,894,841,897,527,353,267,
893,185,258,339,790,288,100,084,843,410,444,114,753,637,871,371,330,937,055,
391,883,743,546,009,171,757,553,303,814,321,741,396,600,141,467,078,674,867,
113,107,452,304,245,798,686,918,288,764,734,197,782,776,626,615,778,699,545,
726,149,454,009,675,875,772,348,064,683,832,240,811,420,426,934,400,259,521,
181,307,496,409,922,454,956,691,599,050,862,295,440,483,174,536,359,459,301,
714,227,752,294,572,616,328,843,955,601,972,330,472,897,398,309,134,326,432,
850,523,845,532,847,110,589,555,084,522,022,211,965,818,355,605,524,970,110,
713,960,500,423,466,653,066,194,476,290,605,694,965,010,089,974,267,284,957,
352,536,014,366,764,122,092,128,571,415,033,029,064,104,213,331,419,295,605,
163,072,022,246,349,670,374,544,026,594,804,978,934,897,291,728,421,597,162,
326,508,048,617,930,460,948,288,553,718,549,457,663,880,016,567,750,040,770,
958,364,142,506,199,177,894,725,400,834,676,275,908,989,030,503,840,987,447,
618,205,435,444,678,832,014,223,059,413,803,096,170,601,913,958,453,039,696,
540,524,046,143,526,005,802,247,060,540,857,897,404,549,374,034,060,534,738,
401,094,510,436,924,990,060,442,367,144,923,446,980,425,396,286,247,571,662,
524,449,883,585,165,062,296,757,206,424,760,159,369,614,042,766,491,907,634,
152,733,271,931,168,766,559,782,672,870,166,546,834,977,879,698,988,507,169,
398,141,098,655,245,048,805,485,987,813,549,907,163,600,135,293,135,720,905,
403,491,415,431,525,127,333,208,721,284,026,430,361,070,102,223,470,112,169,
508,324,890,840,263,011,325,161,344,403,047,350,152,598,675,813,229,982,539,
252,453,773,606,331,412,174,019,856,419,508,903,904,499,189,483,089,850,632,
267,484,316,977,669,124,123,562,387,432,597,857,134,116,490,881,877,117,789,
936,714,621,564,499,922,924,931,848,291,467,439,036,333,473,942,990,322,321,
641,872,916,484,639,329,057,615,674,102,281,901,563,381,311,575,793,958,392,
874,203,481,908,612,234,118,728,091,628,350,254,874,212,584,423,599,932,313,
370,686,845,764,851,162,311,617,015,647,809,518,615,515,229,333,488,396,203,
221,548,445,688,836,436,692,550,738,363,703,397,145,914,244,810,880,254,310,
420,572,684,109,817,363,437,532,777,980,242,826,292,151,290,400,119,031,349,
896,476,141,899,001,836,187,488,545,816,097,786,389,658,807,249,899,647,511,
209,110,024,649,410,822,367,788,213,592,690,155,203,840,900,886,036,897,833,
072,183,746,568,012,318,143,210,296,800,827,302,843,465,569,363,027,359,017,
069,771,248,246,349,532,012,119,954,981,980,712,412,972,685,587,245,821,884,
698,944,385,769,697,294,364,283,510,416,330,291,195,568,103,753,435,828,736,
432,707,757,930,046,130,243,872,345,239,025,422,595,044,699,573,232,352,910,
383,098,671,491,207,887,313,282,726,021,629,746,745,178,097,936,623,881,579,
249,124,428,990,513,657,914,157,835,403,775,617,182,993,650,013,818,306,631,
971,678,657,265,324,787,483,693,518,186,794,259,059,443,508,503,504,841,136,
748,606,348,082,679,835,319,369,638,412,137,480,289,719,045,826,558,398,187,
734,568,061,494,162,013,268,585,781,786,264,501,857,906,727,457,235,040,394,
169,502,519,150,637,233,557,315,999,976,764,441,504,286,685,946,859,504,461,
071,345,187,734,869,723,405,215,777,696,882,492,818,331,348,622,917,893,485,
483,713,492,882,703,776,537,165,628,525,148,371,109,882,548,022,869,042,761,
520,139,043,907,353,191,523,118,865,930,448,995,598,301,010,605,398,609,583,
311,240,450,572,292,655,824,214,805,458,942,946,736,801,144,091,873,018,713,
242,285,966,180,993,131,629,235,319,061,337,754,602,662,735,332,953,197,773,
857,218,802,195,501,040,512,968,127,496,761,661,656,014,622,328,666,796,891,
246,307,607,196,406,938,997,022,094,690,779,329,399,381,890,040,854,333,948,
300,690,828,366,575,230,081,866,256,161,224,293,793,099,357,727,054,207,642,
371,312,373,032,241,502,424,729,098,390,680,671,168,057,554,120,659,692,146,
344,254,586,557,622,198,282,767,897,190,357,710,580,338,122,431,904,902,494,
251,675,365,575,223,283,413,551,759,364,668,422,372,169,636,060,007,870,370,
593,485,534,414,775,872,304,404,700,782,478,178,938,038,009,099,863,896,320,
807,725,657,067,144,283,714,692,034,821,218,369,570,022,205,218,415,930,535,
181,070,231,404,977,719,682,884,484,012,932,200,515,829,659,585,314,290,690,
150,355,703,320,739,584,239,090,302,066,449,537,080,259,663,348,996,972,651,
905,809,101,885,768,048,066,674,114,403,990,454,769,681,869,028,242,690,337,
939,587,976,002,570,586,154,629,557,945,190,199,835,753,485,897,060,094,388,
104,828,719,688,050,510,927,574,788,832,265,115,160,286,243,285,265,751,542,
195,826,649,161,261,771,257,824,108,466,802,695,676,333,787,292,231,991,434,
946,982,259,861,768,947,767,180,623,420,839,343,865,503,274,471,867,550,667,
891,521,088,447,660,818,196,452,614,456,413,665,447,366,334,747,044,398,114,
954,834,133,846,570,968,908,616,128,636,312,035,344,047,603,753,431,491,763,
360,556,145,452,832,295,497,756,554,591,999,932,583,986,750,321,261,008,006,
103,935,818,193,889,627,003,378,976,183,364,862,997,684,660,844,048,647,434,
964,768,498,336,304,969,676,123,737,652,968,899,874,378,702,382,205,042,606,
651,521,116,156,181,140,343,211,377,419,213,871,764,907,557,372,471,313,568,
411,965,112,896,382,255,007,776,741,674,334,612,956,377,959,735,137,876,135,
741,838,341,148,023,192,836,753,164,649,607,029,513,919,560,221,823,510,531,
780,024,601,248,379,028,524,799,369,601,034,024,673,297,722,120,300,824,679,
610,660,414,110,395,141,674,777,012,843,876,926,438,555,354,692,545,499,585,
973,978,978,637,062,463,824,477,739,803,571,275,501,106,266,523,843,331,069,
678,572,296,733,895,474,840,421,646,934,365,178,779,634,448,815,831,819,983,
197,427,992,787,264,824,004,853,337,262,897,639,637,889,513,997,369,076,219,
363,131,399,836,678,540,707,371,411,267,271,848,238,515,229,083,467,598,145,
367,143,136,458,541,121,752,560,979,292,504,704,188,030,205,521,206,820,967,
627,730,361,211,935,422,281,257,232,530,930,708,444,349,915,224,913,599,822,
649,253,943,574,889,290,670,252,156,902,276,201,958,060,311,240,845,868,820,
324,355,838,905,118,165,787,112,262,210,510,509,860,949,429,915,887,434,350,
923,738,696,611,383,334,636,432,334,932,615,817,611,643,638,240,150,543,157,
135,148,555,207,687,760,221,142,132,944,217,436,219,359,998,383,066,613,600,
457,513,214,306,530,968,364,380,900,744,212,337,900,198,937,567,487,089,370,
518,275,926,564,319,772,921,005,325,955,347,194,219,097,818,524,821,188,471,
205,302,678,670,534,979,049,674,843,560,500,726,026,965,261,148,340,252,912,
109,203,458,423,153,094,364,986,067,289,275,734,938,648,894,920,794,720,860,
745,645,421,116,264,266,861,670,419,652,331,727,339,670,561,708,996,422,845,
075,978,957,760,900,592,935,117,538,463,371,665,137,505,719,099,091,924,117,
060,599,962,042,791,806,125,864,630,640,342,304,098,030,773,408,601,572,164,
741,330,839,959,052,130,661,096,293,267,394,042,228,255,620,163,571,888,667,
291,944,704,967,937,300,504,742,988,193,136,970,959,735,051,475,475,608,010,
589,252,795,054,414,854,974,142,987,010,014,387,696,300,664,863,789,953,146,
090,653,613,062,103,507,706,764,886,602,645,610,271,784,539,394,881,471,665,
498,373,908,963,815,843,937,947,572,170,018,658,557,449,478,582,824,010,480,
283,258,588,815,870,689,048,932,084,527,725,450,207,214,775,054,023,065,421,
387,497,830,315,991,833,744,555,721,514,601,036,845,836,481,036,524,659,637,
577,507,170,638,748,325,846,827,336,591,152,641,518,646,325,685,162,497,951,
140,618,190,963,097,093,766,117,875,219,686,699,588,824,067,086,406,595,140,
858,103,842,387,403,830,488,519,315,767,468,318,011,889,379,082,577,872,481,
533,624,812,358,489,073,737,267,834,672,613,596,887,513,684,058,758,677,834,
544,955,212,996,268,514,134,638,197,103,276,993,516,413,637,615,486,395,829,
719,083,905,710,764,277,680,152,598,161,814,573,075,905,353,573,859,940,713,
330,027,156,293,151,548,913,753,334,856,317,066,039,573,747,675,617,068,469,
814,190,916,570,291,607,472,037,344,577,889,467,456,755,738,829,702,029,142,
160,432,923,020,451,453,895,683,788,669,046,249,671,757,442,911,298,589,977,
320,519,969,797,307,562,868,642,344,311,919,388,404,190,121,069,163,147,267,
902,464,311,169,375,768,490,269,801,628,076,351,536,846,195,280,503,923,994,
879,587,541,555,330,903,972,242,241,668,618,961,038,334,821,167,497,389,212,
480,784,685,708,710,954,478,172,335,161,816,997,880,124,379,759,867,078,326,
394,026,624,743,514,987,426,735,333,957,834,976,684,715,987,333,872,567,473,
554,679,833,168,299,483,505,961,562,554,597,786,756,767,900,277,605,733,274,
002,214,165,005,622,356,320,231,812,006,546,631,180,431,236,195,607,950,479,
009,997,289,880,239,411,635,101,155,571,653,841,750,017,714,437,412,518,682,
942,163,437,689,738,820,697,183,755,072,431,265,808,052,662,623,013,709,969,
395,290,064,190,215,926,564,835,140,612,449,780,457,181,311,350,820,251,619,
553,684,831,265,453,902,600,309,746,184,168,845,239,527,319,660,795,302,583,
496,193,834,529,613,850,539,982,829,367,216,210,603,014,984,868,155,482,307,
040,963,055,297,836,664,928,454,855,734,572,216,776,137,628,736,305,193,799,
983,105,645,629,398,586,269,976,308,266,255,806,430,202,928,730,855,276,686,
177,815,045,505,665,540,498,781,363,964,859,162,495,052,489,051,671,262,115,
773,224,254,083,712,367,230,881,942,297,235,557,616,500,273,295,791,804,146,
000,727,766,090,431,347,986,594,837,078,438,269,585,367,366,829,377,851,343,
275,572,867,756,504,823,438,230,497,941,871,380,810,367,036,002,796,772,993,
809,274,784,691,258,917,550,961,693,857,126,565,427,156,524,700,736,007,929,
079,999,918,344,039,494,390,242,039,646,669,125,035,029,167,676,914,082,211,
483,170,247,765,360,871,823,178,072,378,307,541,689,764,258,968,612,515,854,
924,227,068,007,984,082,428,539,196,425,290,800,752,946,047,273,543,325,091,
470,371,595,041,474,081,936,548,141,701,410,921,585,219,309,086,900,827,285,
978,784,977,690,194,391,877,544,121,741,764,493,686,100,456,937,474,871,974,
393,056,674,919,828,933,195,004,963,263,625,284,562,308,865,726,096,483,214,
110,315,904,848,362,143,243,738,235,209,047,075,315,137,828,636,525,525,412,
438,909,678,669,917,828,316,654,027,970,926,771,205,530,988,294,309,161,174,
709,185,911,179,052,258,502,397,472,697,982,655,526,672,652,648,466,425,308,
930,199,385,252,237,361,322,105,103,508,906,642,339,040,248,708,068,897,309,
575,599,767,786,822,052,030,981,961,238,104,183,021,593,515,230,384,947,449,
472,912,874,058,945,982,688,257,887,072,291,379,147,008,854,723,130,146,621,
296,409,729,840,420,376,123,815,077,100,574,114,184,248,630,813,203,822,318,
336,543,544,912,929,461,438,711,857,803,798,429,856,025,966,551,654,148,506,
370,378,789,628,538,544,033,666,402,370,471,310,038,098,601,157,717,674,508,
669,882,595,855,740,434,428,644,159,705,350,579,355,693,494,518,308,338,933,
214,470,043,025,052,666,843,554,478,350,865,725,490,371,103,772,566,851,909,
285,695,286,497,824,109,353,742,210,422,586,794,533,672,788,310,889,402,910,
292,361,739,931,241,822,786,569,133,254,799,525,827,019,602,535,619,035,698,
136,425,426,817,231,228,765,045,111,630,796,820,295,508,639,547,653,849,541,
002,870,687,342,938,783,205,060,107,242,174,984,082,439,885,643,654,403,251,
330,830,015,877,104,110,057,775,507,411,641,356,481,573,671,031,964,244,756,
366,565,362,956,045,528,314,310,238,762,209,774,076,092,274,867,532,494,312,
625,137,453,484,202,472,547,875,894,946,568,466,074,035,869,628,724,582,861,
580,076,743,395,373,683,960,453,190,713,795,436,619,984,418,207,942,609,819,
735,442,172,118,927,110,454,346,698,022,198,099,157,313,708,636,247,565,058,
464,883,466,608,718,168,870,863,211,562,123,366,400,334,846,656,731,511,201,
767,676,200,352,677,749,144,690,253,963,040,377,246,747,125,068,478,508,712,
046,903,381,981,952,488,247,834,319,696,876,148,426,428,215,262,843,158,308,
441,844,537,898,151,874,678,749,500,202,398,892,868,672,848,262,858,719,587,
269,846,097,127,145,837,116,411,030,581,482,383,034,972,180,638,929,591,632,
397,752,195,270,630,001,604,733,501,669,565,303,831,236,591,643,315,003,866,
055,513,427,723,217,943,899,570,001,285,059,756,516,045,392,969,719,760,050,
983,282,769,863,130,431,795,802,325,816,468,689,003,289,610,685,405,047,101,
339,782,912,293,456,391,625,406,204,833,126,979,397,993,177,676,421,073,018,
654,984,921,566,545,964,106,360,673,125,773,462,777,953,222,678,331,334,011,
055,071,697,770,603,375,251,894,335,286,558,395,211,401,107,109,417,259,530,
490,507,726,114,010,800,697,765,252,730,409,327,066,374,976,870,116,312,824,
679,393,083,300,819,853,147,728,923,697,977,829,191,154,239,754,905,844,166,
084,147,396,862,681,718,058,648,121,882,078,247,060,995,114,014,203,273,168,
978,527,968,454,971,321,832,742,647,310,491,169,788,707,381,024,084,789,872,
285,619,909,188,181,859,358,856,954,339,191,423,678,834,845,992,950,808,507,
462,007,089,435,577,172,866,770,175,517,811,569,078,884,437,173,485,804,541,
794,397,579,867,670,645,541,861,515,216,872,612,527,759,634,693,086,155,053,
774,463,517,645,684,348,393,583,829,526,428,747,217,422,829,703,286,808,847,
745,402,718,906,898,642,916,813,917,377,630,843,254,182,790,140,266,160,717,
210,531,876,118,421,374,780,977,729,011,957,354,413,373,765,917,584,770,767,
266,674,722,930,982,561,163,055,561,160,153,775,046,607,241,732,664,203,362,
294,267,354,024,151,764,969,913,311,862,282,177,941,277,182,428,173,599,917,
472,395,421,281,335,017,170,638,542,439,865,151,551,011,016,881,316,999,911,
710,065,263,367,165,747,741,216,564,875,789,581,759,386,761,745,430,049,035,
214,813,385,474,896,588,252,224,819,180,807,917,428,704,303,615,994,102,409,
104,044,731,872,137,160,260,575,298,181,793,385,110,571,562,068,901,771,525,
434,710,395,944,140,461,000,679,236,056,178,066,340,902,067,502,384,645,600,
366,585,641,855,550,120,734,583,045,136,830,524,253,643,424,569,587,163,629,
885,616,617,161,461,543,337,909,871,113,699,696,519,549,464,942,028,390,971,
926,765,271,214,362,628,208,836,489,400,237,166,746,721,677,323,037,806,105,
750,552,040,236,469,854,038,496,060,766,647,037,919,022,198,447,407,620,566,
254,049,976,701,146,137,127,723,003,893,889,702,213,693,754,189,279,159,444,
164,473,071,298,406,579,038,365,269,054,363,073,854,879,178,796,626,598,650,
291,740,675,569,448,353,699,227,481,136,669,882,981,623,792,216,604,540,492,
330,045,947,685,142,525,797,553,207,912,125,573,998,852,341,260,883,726,927,
925,185,959,830,588,721,309,204,900,730,116,180,738,646,345,368,776,997,191,
685,300,339,547,060,192,816,282,363,745,445,063,249,507,015,249,191,734,292,
036,246,149,946,394,667,837,417,922,323,870,673,465,728,736,950,012,406,533,
508,867,794,098,482,625,736,987,193,970,761,640,724,321,955,296,591,141,488,
713,296,663,946,345,173,283,543,521,956,927,271,505,073,949,589,337,737,123,
058,039,842,533,585,245,200,548,734,903,417,498,629,240,471,473,080,263,727,
250,969,805,024,531,063,791,816,691,807,622,237,030,440,191,002,099,833,643,
927,812,406,142,641,675,842,938,823,948,753,588,710,764,209,185,970,831,883,
615,437,108,784,264,270,190,530,511,108,445,859,394,089,290,694,030,171,135,
302,659,891,537,202,454,985,793,449,474,038,838,276,484,017,086,588,908,405,
137,736,726,302,991,163,796,605,998,876,302,573,281,827,360,516,988,096,782,
694,910,158,914,297,601,913,340,520,264,042,178,476,250,887,980,221,872,751,
482,113,412,916,630,465,471,571,427,704,703,105,750,060,080,569,278,318,720,
160,772,610,236,143,870,413,457,444,050,771,952,502,676,751,387,355,922,561,
874,480,567,015,931,729,775,628,631,081,586,285,895,082,143,555,110,579,537,
151,702,587,386,018,880,996,233,531,934,499,922,015,704,143,948,849,856,910,
532,570,973,697,196,965,834,465,190,768,204,096,191,154,534,778,769,226,159,
679,202,632,449,145,077,789,535,459,538,198,087,805,027,452,139,282,394,655,
705,361,269,133,722,012,244,400,326,081,147,050,902,007,340,041,833,342,984,
112,744,147,683,957,984,964,890,091,298,525,445,357,155,482,373,491,094,063,
566,138,281,849,231,493,943,908,109,404,257,269,522,513,807,875,014,257,122,
841,900,397,669,663,383,666,984,963,516,510,866,529,577,144,187,191,221,148,
487,990,174,979,458,135,622,087,021,994,848,257,353,723,246,542,201,171,852,
789,573,862,833,939,868,502,219,840,315,332,966,680,256,872,583,071,832,965,
068,582,026,449,315,431,432,854,627,821,934,431,262,316,653,354,067,368,557,
095,988,083,036,014,145,047,575,150,169,332,110,206,779,475,459,117,811,709,
589,510,539,000,299,954,652,557,502,640,596,923,740,015,658,449,590,128,661,
117,098,487,828,086,663,196,400,873,416,161,596,882,194,043,600,788,638,891,
910,685,266,095,594,399,003,489,552,565,529,356,187,508,787,611,454,222,651,
973,760,298,112,540,124,947,605,037,576,732,353,814,647,407,344,397,594,590,
360,802,365,141,512,126,232,350,121,927,308,374,678,434,337,660,091,867,480,
236,369,549,497,846,053,762,973,851,105,163,676,582,665,072,494,853,016,494,
740,387,634,595,013,657,149,254,890,529,869,615,793,309,354,282,765,518,482,
773,882,061,272,593,665,853,871,334,635,846,559,418,617,362,673,724,845,359,
797,615,649,852,674,676,219,702,999,286,786,045,398,768,222,267,411,182,687,
891,723,696,258,312,259,964,124,656,486,510,330,595,911,945,251,358,791,955,
492,233,273,846,300,389,529,666,824,026,018,049,268,336,211,854,529,107,035,
004,975,412,694,930,139,462,593,483,191,059,034,469,144,358,416,410,563,671,
291,332,957,925,149,128,030,423,811,935,009,603,019,122,000,471,525,464,018,
758,094,066,558,140,616,225,094,798,277,157,137,501,561,433,745,650,684,117,
538,959,242,079,768,422,272,683,465,731,898,397,831,619,542,561,565,845,827,
220,193,473,952,639,811,757,983,931,898,370,212,107,008,497,624,652,757,630,
174,300,038,407,045,568,451,855,755,588,269,563,012,724,637,184,652,646,084,
561,929,854,676,374,197,260,039,491,388,178,072,136,005,821,481,602,442,218,
449,884,054,135,128,222,874,680,264,325,231,802,741,575,049,832,657,260,959,
532,869,226,050,328,317,736,015,830,275,849,602,464,691,431,141,200,032,271,
797,888,872,661,128,266,625,242,151,133,169,866,219,751,428,847,500,639,793,
130,310,152,990,861,058,467,306,994,043,532,660,650,859,682,342,762,408,773,
012,673,859,540,338,474,270,809,011,058,782,984,090,734,611,396,554,224,401,
928,942,913,122,946,979,143,639,622,446,366,143,284,728,536,611,644,290,755,
965,237,306,868,043,373,233,867,010,592,352,547,567,234,380,424,496,521,687,
420,204,025,935,729,694,304,927,531,677,896,808,909,404,686,284,891,306,220,
091,163,376,007,681,195,168,206,280,331,841,350,422,459,967,261,025,147,155,
349,175,103,414,518,584,775,876,835,077,975,279,679,831,296,367,633,930,152,
145,652,041,072,598,532,267,589,350,530,406,215,894,765,632,214,434,530,836,
505,286,935,057,245,309,701,389,698,120,499,939,486,591,504,950,102,016,467,
615,164,138,070,315,483,979,833,317,403,936,026,870,441,112,249,835,340,565,
720,349,950,072,849,263,375,677,394,382,010,661,508,961,790,116,243,664,024,
328,505,401,384,498,546,938,836,673,827,410,074,183,327,254,437,861,238,231,
657,509,320,785,897,733,835,427,412,270,104,402,956,115,461,842,907,101,509,
042,682,821,915,561,431,415,317,615,685,688,213,882,796,905,353,003,187,725,
681,275,861,155,564,212,011,497,195,251,002,941,263,246,800,363,157,593,555,
792,575,592,029,142,021,377,355,029,912,705,532,099,009,547,780,834,411,456,
228,036,601,269,581,461,274,601,877,831,871,985,886,336,427,113,817,310,259,
191,191,880,164,178,769,113,044,742,424,682,721,938,257,381,463,109,287,996,
316,165,043,675,738,677,644,663,613,479,816,262,349,379,915,626,191,081,676,
346,209,978,060,338,672,760,951,559,037,299,349,939,905,254,538,565,318,296,
912,144,319,919,752,052,864,203,688,530,621,609,923,164,525,435,488,087,943,
144,950,212,733,159,333,556,342,851,178,821,390,413,449,183,405,361,341,404,
676,904,299,060,092,273,664,418,454,413,811,431,438,009,675,849,704,620,586,
284,286,401,896,283,745,333,846,852,827,752,516,423,835,335,522,078,429,635,
494,168,786,552,557,623,038,563,155,139,017,601,018,251,832,741,205,097,655,
959,191,145,779,935,217,411,509,323,781,295,068,705,510,027,491,606,774,322,
159,795,434,565,949,206,161,804,959,528,706,613,424,756,180,692,466,975,697,
422,948,145,968,640,650,097,739,983,098,853,058,089,131,008,842,982,502,108,
224,476,465,898,893,037,284,535,854,605,946,519,540,934,598,875,091,896,322,
188,136,679,595,955,577,125,355,350,328,780,407,394,657,123,337,933,194,038,
109,414,222,855,346,513,597,345,053,076,617,452,569,348,006,138,691,602,775,
739,826,466,842,321,732,338,276,289,565,359,367,870,895,477,271,590,418,788,
595,354,334,577,408,661,213,185,940,795,392,042,027,210,077,803,538,704,369,
262,305,308,320,402,414,196,588,804,984,913,703,111,316,059,280,897,398,230,
283,684,783,356,578,801,900,747,924,910,019,981,171,790,826,700,826,543,587,
392,843,492,462,708,966,857,122,391,506,366,019,538,426,477,191,659,550,343,
876,217,125,585,205,471,015,816,918,116,944,750,826,831,312,922,576,635,793,
318,610,915,213,635,524,112,361,775,942,824,728,687,326,574,461,183,723,620,
355,867,949,965,108,556,503,658,536,938,486,191,300,048,530,964,961,141,155,
728,868,537,531,824,384,847,468,753,128,420,773,311,397,886,037,594,237,226,
674,631,617,359,789,991,129,125,487,459,338,611,389,021,693,035,837,567,206,
939,437,060,881,781,827,471,996,703,010,002,608,744,020,978,476,719,415,720,
198,060,378,669,710,989,640,545,116,446,061,592,107,050,054,240,657,089,304,
974,462,666,584,992,455,872,562,271,238,075,618,778,610,935,088,054,906,837,
173,795,455,396,992,778,164,183,447,189,991,322,951,859,419,427,306,061,430,
514,974,039,697,705,556,610,574,808,233,420,605,528,015,410,750,762,452,488,
285,523,802,618,692,707,285,366,812,681,879,982,949,251,069,973,288,906,368,
442,289,289,420,538,429,355,510,319,564,248,960,744,611,269,693,314,333,717,
106,535,702,528,715,382,190,287,810,994,790,580,198,766,401,583,592,088,810,
452,284,792,470,058,792,703,821,792,063,086,963,685,916,669,630,126,215,999,
844,269,261,305,243,158,416,292,204,603,466,104,242,882,571,504,153,907,386,
026,711,607,978,993,808,975,990,803,555,226,495,034,274,528,993,307,376,508,
961,482,089,057,966,375,292,702,368,226,785,659,859,111,688,177,124,385,736,
835,073,677,549,612,354,556,034,353,281,624,629,553,551,302,163,693,206,102,
135,156,261,145,994,467,780,946,980,348,432,907,292,464,218,437,811,120,417,
016,655,424,612,075,726,462,314,063,484,482,879,511,972,987,909,907,100,757,
721,411,923,584,878,142,943,053,156,142,390,020,108,856,143,156,249,794,476,
048,852,329,127,333,396,509,521,257,385,934,958,264,844,538,995,981,487,744,
336,059,797,405,775,455,706,986,303,636,335,965,362,570,943,364,249,444,278,
351,987,261,119,326,096,774,810,908,435,327,356,375,585,844,980,731,381,080,
815,429,541,595,427,643,297,759,120,371,581,632,629,760,714,430,674,296,889,
550,582,533,174,650,041,566,740,088,228,898,339,839,422,662,550,804,264,378,
440,271,667,774,576,434,858,391,986,027,744,657,855,735,955,508,397,540,308,
190,757,208,775,586,666,972,408,940,558,702,997,694,400,040,403,674,255,929,
449,854,034,545,086,342,313,600,336,000,120,303,612,762,544,829,019,306,407,
883,002,381,875,550,894,199,239,243,415,304,610,014,650,238,040,129,871,395,
940,636,487,024,264,407,627,124,620,452,421,340,886,205,104,122,030,671,561,
920,278,785,475,474,417,976,752,309,300,375,826,008,366,382,083,206,523,002,
089,970,152,534,252,780,280,420,684,661,241,544,759,426,955,330,126,370,993,
578,864,614,545,854,785,481,824,014,005,021,146,557,695,219,854,899,680,631,
544,186,548,978,903,655,982,403,742,745,102,234,335,310,198,348,300,134,076,
772,122,925,394,269,521,358,096,024,031,008,165,289,441,583,329,368,425,167,
555,204,946,661,928,154,715,024,026,293,967,520,649,085,860,446,634,795,554,
853,207,867,731,472,479,880,699,567,399,286,048,206,310,412,053,664,685,177,
104,923,587,516,742,980,319,523,271,658,601,564,914,509,187,005,966,834,124,
890,242,609,442,422,001,221,049,957,308,230,682,063,424,852,951,580,042,435,
680,211,857,293,590,425,419,813,767,408,409,285,984,097,788,192,972,739,641,
644,489,928,886,123,848,956,125,167,223,343,639,038,394,376,789,175,593,821,
831,080,030,969,913,855,216,788,086,128,215,905,714,776,408,775,498,286,087,
220,273,555,630,113,366,211,562,307,118,387,288,218,977,674,448,315,263,394,
708,780,440,090,853,776,112,736,440,215,544,829,910,264,961,414,328,295,895,
167,796,909,368,560,536,386,725,009,778,102,401,825,703,200,291,579,668,430,
516,683,594,402,097,904,302,401,444,818,900,884,832,566,275,398,449,355,698,
096,047,837,309,155,019,353,452,156,189,878,994,950,452,438,502,001,770,318,
818,230,121,579,264,459,121,625,970,124,096,902,861,751,645,469,618,614,088,
837,716,922,296,789,260,384,234,375,723,265,778,075,741,770,421,610,087,390,
641,634,911,423,831,675,110,840,602,102,508,992,483,001,225,814,392,638,050,
158,491,254,627,164,876,607,094,939,617,776,300,742,701,104,063,211,241,534,
026,057,984,338,584,944,230,562,197,394,157,737,066,761,917,763,939,041,776,
888,994,266,610,482,052,255,870,956,539,457,285,324,425,456,252,212,046,270,
605,830,625,587,709,022,573,392,548,955,209,276,115,150,074,799,242,931,153,
930,033,982,336,914,209,062,236,693,402,420,529,238,795,539,486,623,084,358,
383,661,412,303,463,043,581,701,417,643,729,305,317,535,789,347,216,293,392,
220,217,828,677,580,209,245,495,108,334,791,967,742,015,200,722,418,332,568,
429,250,826,129,315,466,339,919,710,100,168,911,893,573,399,450,379,092,024,
887,123,372,491,396,292,717,228,412,258,004,374,830,656,188,511,978,072,894,
602,344,521,869,414,254,080,133,098,963,357,138,857,470,969,697,014,994,645,
517,336,967,940,919,688,454,887,284,151,088,054,389,091,130,173,475,608,550,
056,628,336,585,059,207,897,076,181,715,858,830,838,681,842,780,470,363,237,
924,340,961,226,478,833,948,535,008,287,951,325,698,017,194,061,397,909,781,
419,756,571,573,077,569,580,848,808,529,597,138,640,836,943,295,527,580,201,
486,908,188,784,671,904,074,373,979,830,689,971,533,775,528,782,423,726,337,
498,124,338,251,550,440,556,305,265,898,977,524,706,233,919,850,149,089,326,
017,418,677,475,210,822,760,997,388,710,744,343,659,174,707,502,606,054,975,
313,994,855,319,451,847,311,670,913,391,552,277,091,232,748,022,906,328,799,
373,854,601,828,486,093,406,958,365,017,879,971,981,558,433,188,901,067,005,
225,750,931,448,742,776,770,235,849,903,644,492,059,040,238,105,438,985,744,
546,598,509,636,745,630,683,042,750,889,515,459,323,167,155,753,691,006,441,
165,509,462,134,149,699,768,444,910,348,064,117,877,734,934,919,240,478,244,
583,421,876,535,169,102,374,399,641,427,590,793,963,802,287,805,076,934,141,
595,268,875,616,708,626,467,203,213,060,960,305,502,175,445,699,315,480,574,
623,140,446,206,098,863,509,780,644,025,975,363,169,726,991,449,389,433,769,
830,214,901,513,950,830,443,419,471,317,524,389,741,765,728,252,433,493,072,
168,094,016,389,982,013,099,310,747,151,849,236,493,000,901,353,209,958,434,
815,458,795,183,595,375,791,857,115,063,682,733,947,454,573,502,650,638,423,
195,698,565,590,116,202,815,910,199,468,147,595,028,305,925,336,114,585,145,
343,770,207,873,450,018,409,579,697,447,852,318,152,494,988,255,564,211,536,
704,446,260,477,651,224,287,034,640,659,228,469,672,786,491,988,139,712,186,
517,786,275,885,837,163,779,677,700,477,460,884,951,322,455,072,361,534,571,
185,934,929,584,033,391,101,015,503,490,123,767,954,941,921,958,861,461,991,
994,454,557,945,097,256,480,319,590,244,211,680,392,031,771,780,471,529,331,
850,887,938,633,566,409,730,357,567,030,022,883,118,934,282,208,063,557,144,
609,610,913,778,974,951,667,395,787,405,948,693,354,303,777,863,718,363,374,
286,002,692,189,495,542,653,263,881,637,466,425,396,553,570,021,434,818,776,
304,731,409,297,125,435,065,234,130,146,163,030,962,438,799,117,247,154,864,
593,886,184,125,384,829,985,635,539,632,427,012,172,726,681,022,251,396,864,
576,100,329,131,608,971,196,351,338,278,457,023,756,487,473,450,076,798,019,
707,146,102,102,304,011,401,604,432,938,753,973,326,995,857,585,697,179,104,
454,582,528,216,676,789,711,458,740,467,603,738,858,785,271,728,496,693,635,
769,552,062,044,752,501,626,312,618,720,440,519,048,528,148,954,009,960,757,
557,592,403,456,954,153,652,139,304,028,038,940,732,395,137,478,661,464,321,
926,219,292,186,724,574,294,332,561,539,593,929,295,655,943,273,201,037,806,
273,259,591,448,475,196,599,363,175,114,875,771,208,138,268,096,881,153,120,
651,622,990,310,371,572,048,867,073,457,074,420,703,532,446,903,444,949,899,
752,425,156,600,694,128,015,319,554,603,536,939,911,530,950,857,850,283,339,
662,365,458,349,210,416,013,398,667,712,511,916,866,323,499,179,470,118,663,
964,237,140,950,293,150,701,943,924,561,060,665,832,457,503,190,976,274,099,
774,002,655,100,789,684,375,830,100,472,421,584,549,828,209,226,931,712,945,
580,866,135,619,547,778,501,141,278,172,200,517,941,348,419,013,473,379,427,
247,710,082,682,506,408,047,321,535,845,721,619,057,283,412,957,459,557,019,
624,877,020,767,394,356,670,541,493,773,666,365,066,162,137,876,075,579,324,
861,907,348,539,983,531,849,430,790,452,923,118,800,216,379,774,344,817,809,
127,920,384,300,505,307,959,675,395,942,238,594,776,975,550,538,481,913,992,
349,627,131,748,780,593,638,702,668,941,569,528,591,930,727,614,421,965,899,
117,995,677,887,397,071,433,944,477,811,274,517,909,605,982,700,556,914,160,
125,409,891,014,504,270,581,302,238,250,708,764,483,051,999,857,360,361,521,
504,179,507,281,001,405,828,267,456,806,075,619,013,355,498,245,099,844,330,
831,667,166,290,816,759,288,360,171,556,505,248,116,129,291,157,178,452,671,
910,672,983,186,417,249,065,617,803,108,086,609,104,609,735,551,854,631,634,
595,492,086,726,394,697,756,937,853,426,119,808,404,485,980,678,248,549,172,
591,938,093,523,525,125,501,495,269,894,782,415,616,886,020,749,087,049,257,
527,695,061,809,026,666,710,709,589,403,026,799,765,929,152,989,095,686,793,
322,466,855,479,486,559,487,233,312,221,444,663,465,466,395,982,784,941,697,
177,516,003,708,986,313,134,607,717,796,221,728,468,646,259,574,940,754,751,
590,521,694,143,226,613,537,538,080,570,475,023,500,664,006,530,795,876,683,
102,415,765,506,227,591,614,583,906,644,462,402,841,946,556,145,328,626,553,
206,914,962,049,918,345,395,180,740,211,270,922,646,197,858,135,144,493,198,
907,100,040,059,099,431,829,938,665,183,109,828,567,374,673,166,956,461,445,
815,746,589,394,272,307,902,664,286,216,394,085,164,874,776,889,984,970,106,
337,332,774,964,210,731,065,866,323,961,074,612,617,348,455,641,395,690,247,
087,961,483,020,740,919,204,049,793,484,438,867,312,770,290,654,746,102,642,
025,761,636,887,474,329,106,258,757,966,768,188,972,386,720,971,504,616,282,
750,201,058,884,942,236,094,863,053,891,048,598,478,960,598,032,145,086,415,
316,008,684,726,571,757,653,933,541,230,536,504,253,936,892,054,008,795,027,
950,212,062,074,772,892,399,297,554,162,316,761,936,754,557,405,953,863,248,
003,063,988,568,541,407,108,639,645,454,488,697,413,144,225,976,239,380,904,
106,684,109,129,968,416,273,096,819,629,640,181,785,628,229,197,434,847,162,
357,444,912,694,869,313,624,481,784,419,471,881,097,739,101,093,602,768,876,
550,924,636,599,681,682,558,584,730,503,035,134,489,064,927,603,462,788,076,
550,383,177,838,134,987,924,832,237,354,186,620,638,212,167,642,926,118,308,
154,204,120,179,626,274,459,557,249,910,202,651,258,229,226,251,942,003,895,
344,496,005,113,327,305,141,898,893,363,841,706,023,502,430,658,379,435,954,
819,035,316,993,098,972,752,225,641,157,560,726,907,662,251,518,096,439,364,
856,770,591,525,741,225,516,320,585,114,980,149,538,351,668,863,343,075,541,
840,805,770,036,318,973,500,403,840,028,586,107,951,717,357,915,940,997,191,
211,093,768,030,102,421,116,237,100,388,453,869,942,032,101,243,741,309,268,
005,919,423,631,007,649,960,440,800,976,674,183,666,380,406,772,203,759,081,
472,564,267,656,152,564,218,837,406,917,037,569,092,501,312,827,197,710,900,
393,101,974,160,204,942,787,241,215,865,704,177,067,868,522,823,430,556,164,
494,549,038,202,862,440,547,876,990,000,971,783,512,786,346,532,428,527,066,
233,168,689,740,890,963,160,678,703,903,347,239,321,725,166,613,342,889,300,
412,527,778,738,237,861,617,808,238,061,129,408,421,716,750,644,521,610,124,
098,164,664,657,465,459,421,793,472,175,468,253,990,209,786,160,608,238,304,
441,726,241,840,495,942,166,290,842,405,137,921,726,979,410,046,428,213,760,
935,768,113,908,731,513,247,420,980,819,853,819,404,510,970,183,183,418,201,
281,840,058,018,262,593,571,902,216,339,391,422,329,090,499,759,325,489,187,
671,967,646,282,525,127,161,673,788,609,256,810,289,329,224,036,435,863,343,
608,105,192,866,223,771,565,654,720,189,215,594,702,066,277,599,179,268,757,
246,409,988,983,768,672,567,808,194,616,916,646,799,624,032,185,387,992,544,
001,877,370,716,755,801,409,617,408,917,367,701,951,585,108,438,453,534,648,
073,453,613,517,782,709,398,642,334,617,777,374,698,944,968,983,650,348,474,
659,088,744,974,455,147,781,135,189,882,771,068,716,044,428,903,128,452,362,
827,163,202,992,606,924,426,778,614,427,085,944,564,775,644,567,993,124,865,
060,983,135,335,687,737,802,815,275,922,059,920,144,460,926,822,052,704,911,
679,177,676,748,969,003,875,688,522,636,217,275,905,937,162,021,963,743,147,
202,421,273,088,194,139,985,984,547,363,634,999,575,836,883,684,778,846,777,
000,520,930,545,816,827,062,284,358,790,446,914,182,944,855,970,370,939,254,
008,464,568,860,425,613,458,006,264,537,315,778,842,803,720,443,335,287,126,
064,453,092,603,818,862,093,802,593,464,079,051,212,571,297,760,625,928,925,
934,281,128,916,550,794,505,999,481,504,235,168,323,131,688,972,413,317,201,
015,671,803,438,687,504,558,561,836,440,791,890,602,021,897,926,153,444,247,
340,048,190,192,733,502,911,982,766,836,807,104,850,414,667,386,196,786,993,
693,470,462,717,769,968,485,774,600,453,367,779,977,465,976,532,169,500,584,
917,645,142,861,316,258,707,295,844,785,845,616,589,926,270,270,254,258,966,
585,941,206,861,916,053,705,445,812,766,607,355,001,778,438,869,533,082,118,
764,360,360,135,020,735,716,605,899,436,952,903,289,752,919,515,781,101,328,
682,625,104,391,710,473,167,414,143,179,972,626,276,796,814,057,804,402,244,
457,017,437,478,694,720,332,959,495,257,505,805,079,972,246,415,104,282,825,
048,181,774,980,256,382,330,719,633,206,727,373,147,233,212,237,894,764,359,
059,173,231,126,448,040,957,749,165,902,225,414,854,534,633,438,747,810,138,
221,915,783,481,934,955,661,432,285,844,298,372,606,815,758,697,487,393,486,
092,240,807,817,234,714,077,007,721,458,845,019,512,765,929,616,210,021,876,
174,664,794,864,590,532,283,541,391,715,277,876,156,088,712,311,866,874,644,
899,575,112,234,864,328,694,331,149,707,122,469,430,044,489,317,798,697,209,
626,287,406,119,326,865,719,620,068,796,695,015,169,734,978,509,172,039,385,
889,856,599,076,979,540,690,208,469,506,126,285,257,406,751,450,559,233,084,
048,844,258,879,397,819,088,328,555,754,645,031,537,275,510,092,912,450,272,
604,001,896,564,956,544,724,215,019,771,487,470,829,115,033,262,030,846,141,
603,871,286,837,867,656,279,130,531,474,094,468,242,004,650,143,652,408,133,
678,022,215,166,551,145,798,086,547,559,808,712,089,908,915,706,970,578,502,
464,422,109,955,047,025,192,856,955,587,357,518,894,694,550,471,005,019,055,
494,230,265,537,942,318,916,573,994,705,582,954,453,624,499,760,750,460,634,
913,291,891,421,038,346,378,503,508,490,935,052,157,795,218,382,750,012,551,
238,393,651,010,107,593,086,518,047,511,973,600,850,126,498,616,668,458,572,
763,242,097,847,043,841,406,805,526,665,326,393,955,159,234,768,826,493,743,
692,908,089,164,603,912,774,935,595,031,892,716,050,125,799,726,983,181,952,
788,092,259,058,617,802,906,601,131,307,380,632,838,366,602,997,299,324,375,
077,344,367,594,460,922,148,617,824,065,005,337,038,419,918,713,623,021,060,
949,355,338,671,205,171,288,278,878,560,979,463,668,686,434,612,110,397,156,
499,913,746,275,865,897,350,328,803,643,325,341,417,472,504,549,424,827,844,
902,466,506,305,635,447,204,316,854,340,437,891,613,017,107,177,004,263,678,
384,569,674,997,838,086,801,872,039,035,482,471,545,226,904,578,381,130,676,
226,051,019,345,924,504,535,691,917,901,314,493,116,675,319,246,395,896,307,
063,547,054,183,819,144,519,667,806,516,623,934,718,602,904,906,728,272,890,
012,718,665,570,040,470,495,735,213,973,778,394,538,953,797,161,870,663,193,
364,992,317,936,958,157,245,588,827,561,250,193,079,779,780,128,393,746,564,
697,967,507,829,597,657,923,022,318,872,792,718,423,553,160,153,928,196,410,
630,546,057,586,516,841,049,250,275,812,087,385,363,936,156,621,594,643,601,
606,180,734,928,901,680,122,751,636,412,119,110,635,371,386,536,496,531,090,
337,457,663,286,288,614,484,475,466,473,816,915,092,110,609,943,106,251,025,
034,512,404,012,458,544,012,842,677,800,142,564,022,224,513,812,655,899,189,
053,483,807,180,131,456,940,157,363,787,310,472,093,220,003,444,022,769,780,
025,501,825,794,744,953,272,256,678,773,651,495,499,551,778,385,634,976,462,
682,305,872,899,002,203,881,141,242,537,096,858,917,221,240,358,540,573,398,
051,880,914,529,091,379,974,399,202,391,732,476,272,839,323,815,627,528,264,
808,536,565,172,755,266,438,955,644,096,470,174,075,714,732,315,427,047,785,
512,611,949,284,659,583,164,025,552,931,791,171,370,348,351,506,847,113,443,
936,132,468,819,689,451,303,831,234,085,008,340,582,332,435,656,838,287,334,
102,217,216,163,837,314,053,732,098,887,028,344,867,459,084,945,673,863,969,
891,573,155,176,190,534,554,215,499,486,217,128,623,777,224,331,383,885,578,
860,270,594,598,675,780,591,737,057,940,625,283,612,441,363,427,410,753,384,
256,325,136,286,349,436,326,973,410,469,669,198,544,871,286,611,283,547,496,
642,798,389,926,058,110,682,178,872,098,472,006,846,572,635,420,563,321,902,
581,332,786,228,934,568,855,797,977,051,402,695,316,218,767,932,810,633,818,
471,706,376,728,103,926,920,317,317,150,289,656,226,920,819,844,263,237,233,
558,824,954,643,264,621,067,222,778,496,353,032,670,060,222,362,911,032,393,
494,660,889,432,980,618,023,738,321,190,513,371,447,990,643,393,853,608,888,
535,547,737,498,740,556,089,635,777,505,809,553,712,424,264,856,712,781,880,
483,240,132,401,481,015,734,170,010,575,573,980,652,717,713,269,333,426,470,
410,958,989,909,688,545,483,368,171,043,651,401,593,261,227,345,970,021,101,
625,093,134,102,229,797,872,072,871,604,058,333,773,766,808,208,584,775,856,
680,180,384,129,126,853,036,096,334,425,744,367,780,836,883,899,989,280,980,
250,271,012,662,802,939,305,936,191,710,483,766,896,551,339,926,222,937,998,
177,126,409,153,995,797,062,035,180,797,933,613,928,052,509,987,904,004,290,
306,520,527,700,856,482,287,892,870,794,217,306,552,207,573,224,409,574,893,
710,225,902,391,835,772,418,915,204,118,639,788,046,730,576,479,648,644,892,
382,273,798,567,708,122,451,411,628,391,025,104,173,889,509,590,866,849,270,
540,918,988,176,090,817,278,055,355,453,557,949,691,623,365,847,804,018,811,
065,749,869,000,101,649,993,739,417,307,370,735,833,791,081,707,225,731,496,
295,931,317,421,312,234,191,097,778,012,270,388,214,565,331,472,667,308,104,
795,589,790,263,054,290,772,082,401,568,785,892,650,377,824,426,964,824,178,
785,422,051,371,258,196,304,468,651,786,458,600,049,411,213,343,405,321,741,
698,085,205,342,172,238,421,625,880,086,071,224,510,740,927,763,749,352,396,
999,537,977,736,925,561,370,555,766,323,468,826,904,616,534,509,616,786,550,
512,005,472,627,133,277,934,935,589,427,400,298,898,996,137,814,465,106,330,
178,889,355,531,219,328,837,649,912,232,963,433,073,994,467,272,912,135,648,
661,253,854,981,055,788,298,460,881,499,582,948,230,538,341,490,614,447,554,
628,379,634,537,315,590,267,523,254,945,586,964,432,988,076,328,726,934,359,
984,563,115,073,910,959,735,792,804,439,163,569,087,959,135,177,327,878,748,
387,592,424,992,812,685,018,277,585,016,512,308,853,552,028,939,092,352,945,
845,406,501,385,491,025,692,023,698,055,293,595,184,069,296,617,931,726,585,
296,026,926,229,529,878,129,463,806,391,138,555,349,356,109,061,546,618,201,
241,909,145,001,723,848,346,512,622,845,613,393,968,941,138,795,376,791,522,
719,335,407,640,064,977,420,189,810,747,617,856,160,097,254,928,507,030,043,
795,670,500,267,222,475,672,303,947,602,775,550,211,024,176,158,413,700,709,
555,180,516,197,656,145,045,356,333,558,038,260,100,699,021,601,320,270,080,
616,220,620,063,507,123,480,082,305,519,385,114,657,758,544,417,144,534,826,
803,450,065,702,277,662,361,862,098,301,360,198,848,250,357,787,714,503,589,
266,375,903,751,349,027,876,717,260,070,487,798,086,024,639,391,728,633,894,
583,936,500,881,765,308,186,155,379,382,189,410,618,644,809,401,831,361,056,
982,160,983,744,313,297,373,820,090,240,966,543,399,326,104,255,812,366,072,
285,606,811,143,246,811,771,889,696,679,403,450,515,953,107,404,751,575,548,
694,326,077,518,392,762,797,297,744,703,704,267,818,165,457,932,102,055,486,
238,304,177,882,955,713,215,244,762,297,709,009,905,214,514,174,040,988,687,
658,995,263,915,599,456,905,925,294,640,313,833,550,681,744,779,394,727,301,
662,904,351,823,371,145,687,398,370,067,284,264,798,262,811,423,350,065,207,
801,404,549,166,546,631,308,615,530,471,930,267,593,558,866,051,711,161,925,
405,942,234,740,991,929,046,287,131,775,045,435,210,543,608,161,867,644,284,
106,078,819,554,448,721,827,064,881,898,156,903,613,811,817,246,129,439,319,
208,284,304,795,041,201,605,547,695,019,195,122,288,320,577,957,946,270,906,
295,905,887,472,974,434,726,064,481,960,500,896,625,664,231,803,031,771,827,
785,931,825,420,065,589,679,638,273,230,384,855,650,739,191,671,609,022,804,
227,910,781,522,593,522,103,699,415,767,320,061,801,733,247,405,740,876,308,
814,661,735,108,688,076,441,966,427,092,473,514,191,877,119,636,943,917,457,
436,713,884,101,598,195,117,603,700,824,975,585,059,730,068,510,481,592,804,
438,248,168,164,145,888,634,446,691,997,518,783,655,307,435,110,461,360,532,
913,622,367,337,718,265,953,937,917,151,082,491,007,364,698,960,776,719,472,
534,329,891,103,472,095,732,414,578,757,056,570,331,048,485,873,670,110,948,
757,060,777,680,556,371,013,188,865,802,940,466,882,523,752,302,043,106,061,
805,322,739,814,216,879,919,255,146,880,491,588,939,177,700,219,551,133,972,
980,026,657,755,848,223,742,134,036,479,336,606,755,303,351,332,788,259,814,
919,838,846,126,332,703,020,327,085,908,129,835,736,696,301,899,729,645,615,
265,394,912,885,360,223,537,282,701,727,457,440,037,719,707,301,922,411,418,
130,959,608,073,346,726,754,506,922,403,727,426,519,723,558,849,700,232,463,
397,972,602,386,824,802,995,241,776,118,475,757,311,646,752,720,785,001,501,
476,489,069,446,161,987,754,786,564,468,841,795,343,402,185,803,624,893,733,
533,479,496,175,643,921,445,380,873,931,391,128,598,305,632,479,069,481,675,
642,224,004,631,184,032,944,227,472,186,996,683,001,364,485,007,292,973,484,
469,715,765,478,983,789,445,317,804,041,684,609,099,325,950,761,672,916,823,
978,415,273,310,312,471,646,055,009,187,656,711,689,985,924,834,805,302,422,
969,801,021,395,031,489,226,779,011,697,471,907,662,225,790,057,290,782,805,
269,272,440,515,324,873,614,986,089,848,585,933,971,196,970,726,377,720,022,
681,647,684,922,909,456,039,931,346,958,031,702,864,255,563,093,124,270,130,
906,826,769,115,454,473,202,653,369,277,287,555,057,676,630,237,371,773,471,
095,367,740,995,464,929,342,165,218,291,536,628,258,896,619,626,562,017,690,
319,542,247,288,597,640,775,670,975,330,670,968,703,224,178,896,515,144,618,
994,186,793,572,468,230,907,961,564,141,615,644,086,466,254,949,508,018,214,
750,384,281,811,855,808,050,647,890,973,018,186,815,357,269,842,463,507,477,
558,855,984,578,108,750,118,096,883,094,639,247,452,891,334,591,142,312,535,
715,528,548,130,499,026,237,802,256,889,703,157,351,176,649,280,196,547,609,
222,310,309,190,050,478,389,722,207,620,119,427,424,719,515,721,519,283,698,
360,794,945,237,881,554,201,188,167,367,503,225,049,862,074,764,388,840,051,
634,880,972,576,096,754,216,643,953,061,030,226,369,647,788,090,756,488,729,
975,411,218,823,262,852,520,802,889,080,800,837,251,103,529,686,949,804,175,
013,887,620,346,720,566,470,677,540,650,376,149,683,115,952,661,906,702,876,
061,522,951,193,576,024,539,246,175,649,504,466,457,519,282,283,554,795,750,
361,680,830,028,023,882,916,504,812,249,276,374,034,480,072,025,379,614,423,
721,227,461,922,176,299,785,625,366,487,928,799,513,176,322,713,710,248,928,
458,361,051,362,457,706,624,532,394,526,421,114,470,447,516,591,488,977,511,
758,562,930,293,012,055,874,395,722,623,912,942,941,022,187,408,147,986,584,
746,340,879,799,628,472,594,885,645,953,966,574,177,823,382,473,322,961,494,
116,063,147,811,342,362,018,180,022,630,836,831,386,888,679,763,106,859,054,
533,342,778,109,965,454,225,826,659,524,192,213,996,899,290,405,357,874,254,
354,007,550,852,179,338,712,470,392,181,593,747,809,995,931,107,464,951,576,
209,668,787,364,514,036,432,518,117,162,881,476,550,082,678,262,168,551,378,
712,926,280,318,233,295,715,396,921,118,993,583,760,425,756,692,598,232,570,
624,853,143,449,362,113,748,852,844,689,203,456,848,224,335,158,747,137,800,
580,381,100,384,385,320,222,326,739,814,561,637,979,786,318,507,358,336,778,
077,641,115,473,429,875,062,200,964,909,303,257,755,761,028,495,718,148,040,
835,559,412,818,242,622,138,801,468,240,659,274,061,147,845,573,275,577,037,
926,456,206,511,831,910,602,086,286,458,184,363,606,457,193,940,330,274,188,
887,750,791,040,287,891,663,128,062,533,169,266,684,822,380,151,025,692,369,
505,453,169,924,692,001,287,744,651,021,397,107,824,030,025,460,787,094,294,
718,005,130,125,885,508,420,550,867,064,266,555,661,670,444,039,610,880,504,
334,363,151,136,561,563,978,830,952,942,754,948,889,357,964,228,118,197,988,
519,597,092,093,756,173,801,268,715,815,010,957,369,213,687,809,605,988,127,
888,879,642,547,262,372,740,821,593,308,400,081,551,066,105,554,697,254,445,
787,973,720,696,472,271,053,454,544,166,828,580,268,269,711,753,001,548,606,
908,653,816,075,678,735,288,245,037,178,837,949,474,792,806,939,227,553,979,
174,516,257,286,279,577,331,343,027,989,650,887,994,538,056,137,211,300,934,
493,024,886,953,913,268,796,620,864,723,328,698,668,752,533,292,182,780,366,
481,706,731,724,495,543,511,136,161,885,204,899,048,949,382,859,661,189,713,
727,218,194,208,834,199,347,791,717,008,714,765,143,749,732,207,476,914,061,
172,677,762,614,721,867,125,004,281,865,941,665,645,802,105,275,742,017,663,
619,613,204,566,868,903,767,496,843,781,109,149,528,807,542,435,084,384,186,
224,403,178,014,937,797,394,234,835,179,143,013,784,673,950,865,981,850,346,
713,155,748,652,495,722,810,209,583,585,204,269,769,407,347,394,850,871,594,
184,154,894,047,543,883,440,478,856,768,320,753,009,919,997,357,123,769,747,
732,898,532,900,255,518,554,042,278,293,940,512,165,055,193,192,484,684,450,
334,767,503,771,384,934,881,131,706,673,665,507,672,159,305,886,859,995,725,
611,641,719,987,127,373,780,174,046,079,316,874,244,058,422,811,741,893,625,
519,495,051,030,954,788,195,987,815,444,569,000,830,646,480,409,672,151,659,
256,652,935,113,558,074,089,675,936,332,751,187,488,644,978,387,368,600,774,
332,733,286,439,505,710,198,815,142,889,512,802,399,550,972,455,426,377,043,
626,250,223,914,114,244,610,617,221,586,040,833,050,496,730,638,917,693,700,
460,610,230,616,872,333,972,380,830,065,679,277,373,739,042,992,783,487,553,
513,540,632,793,074,438,701,516,447,176,055,707,121,228,271,322,519,054,529,
257,191,025,548,525,486,079,587,427,070,783,141,915,357,126,776,515,304,699,
205,725,770,327,290,611,129,539,729,152,480,830,113,819,761,536,514,558,657,
749,929,394,369,589,840,608,071,726,317,540,939,124,351,216,095,234,346,044,
779,322,626,011,978,935,199,126,430,578,955,975,797,949,147,661,709,069,119,
724,158,126,830,802,013,624,783,946,951,090,486,239,117,775,174,774,635,251,
749,750,585,338,831,145,509,967,996,893,977,885,132,877,704,251,963,945,861,
412,770,517,603,320,913,510,747,923,623,336,499,170,168,140,820,371,737,585,
439,495,660,045,220,557,237,954,596,401,812,013,453,448,971,857,667,040,015,
537,861,644,902,329,882,423,355,986,979,532,506,636,393,690,027,771,029,414,
792,438,362,660,069,881,307,423,671,472,880,534,682,701,469,505,997,493,330,
128,861,931,029,642,421,860,772,734,585,770,492,489,837,230,210,769,180,198,
202,301,273,352,435,199,751,910,086,281,586,184,149,354,407,566,227,493,013,
318,899,936,830,049,099,817,897,712,367,637,307,291,301,425,705,417,466,194,
533,512,993,977,138,717,357,442,093,024,922,518,168,635,167,312,191,989,616,
839,770,456,099,792,288,655,375,991,968,460,840,691,466,833,184,638,313,104,
347,197,575,675,972,494,305,088,942,103,007,667,135,497,916,860,989,999,752,
926,954,918,564,219,849,182,989,864,580,390,018,971,604,709,204,731,532,113,
270,883,791,959,669,236,804,401,831,217,722,507,491,653,697,395,266,377,114,
783,818,492,482,716,323,784,313,904,764,563,456,729,034,024,157,462,002,378,
223,504,171,455,143,867,143,687,235,858,906,260,020,999,369,710,749,973,154,
031,589,616,728,281,512,248,572,261,400,689,674,641,505,258,453,073,134,814,
269,214,023,787,337,500,100,588,138,433,799,935,806,314,759,385,587,608,534,
267,682,459,403,574,345,356,236,550,556,887,828,456,823,420,285,150,874,132,
489,726,951,615,721,064,832,303,725,875,174,184,484,746,845,934,942,948,709,
129,061,248,126,121,521,313,538,270,115,103,969,371,198,784,133,768,894,207,
163,304,772,512,389,952,572,714,826,674,855,909,081,093,197,084,342,691,156,
367,987,496,857,787,944,862,479,479,064,868,066,460,802,731,077,000,583,301,
838,937,655,940,647,508,970,505,649,396,328,923,429,949,642,832,412,505,741,
371,987,525,466,649,351,736,442,086,175,612,672,818,615,521,859,808,245,022,
224,566,784,349,235,724,306,955,533,656,570,128,705,126,522,849,736,926,156,
208,867,880,661,793,693,953,736,696,208,367,039,309,650,851,334,418,058,973,
215,375,131,082,837,790,624,053,226,043,555,203,147,764,993,172,358,423,153,
668,906,239,364,127,476,891,034,353,347,883,918,528,226,225,262,739,475,451,
292,580,541,972,630,252,075,946,434,941,147,483,396,118,175,332,998,970,455,
569,394,412,416,147,239,198,176,393,847,167,016,732,966,007,477,459,171,496,
530,701,144,911,042,506,755,562,953,832,285,871,946,244,134,506,560,665,319,
778,799,637,655,521,715,561,382,931,387,333,473,894,517,481,604,092,561,791,
715,278,653,027,164,413,371,020,419,640,945,883,606,550,036,249,686,108,303,
775,814,439,444,523,633,271,195,790,436,936,614,151,183,527,046,950,790,952,
366,925,798,932,607,879,960,657,940,544,264,227,332,684,465,143,490,321,166,
343,143,315,967,084,029,323,130,523,287,141,018,995,076,492,788,683,966,697,
131,268,271,416,885,711,453,134,477,304,732,398,634,691,796,691,494,590,617,
996,815,924,654,365,248,508,781,051,957,599,155,278,995,473,904,902,977,847,
584,727,802,767,909,593,372,141,587,053,730,522,373,087,637,458,567,330,678,
457,030,617,229,663,815,469,416,488,437,354,631,364,471,907,387,017,006,842,
962,065,037,657,633,564,529,019,799,295,238,060,553,363,924,965,597,771,179,
196,432,790,391,242,046,060,058,105,365,671,875,081,955,028,499,642,303,528,
901,604,728,995,952,006,946,391,769,850,876,628,313,625,624,078,340,482,138,
415,119,602,238,030,695,067,553,449,603,221,442,719,008,574,318,792,762,293,
043,156,769,878,078,598,834,396,427,581,382,915,765,153,528,452,106,187,690,
896,541,244,667,054,534,447,247,120,003,489,063,536,190,409,686,725,351,614,
845,850,382,713,000,427,411,883,143,200,079,768,792,330,690,411,800,253,924,
235,008,822,888,005,490,106,483,649,066,103,313,361,428,269,445,492,931,498,
822,444,973,286,266,295,098,412,156,138,541,776,769,667,088,351,189,690,951,
665,095,392,865,513,525,474,388,521,235,993,105,560,614,891,968,298,988,031,
220,331,270,267,340,116,562,819,355,875,991,107,083,353,018,963,218,752,216,
993,097,827,278,632,395,514,914,608,507,736,558,998,693,295,906,215,390,402,
337,226,342,769,729,578,260,465,041,458,292,076,336,788,184,037,205,641,105,
551,521,524,074,339,164,751,762,991,619,685,073,213,561,454,469,257,432,419,
981,159,689,168,400,897,097,330,024,795,749,678,864,289,372,727,553,802,831,
148,930,083,752,952,763,747,022,058,288,183,877,593,655,868,448,866,095,354,
477,151,713,648,116,168,494,676,005,907,485,999,332,933,749,022,539,265,576,
646,896,077,831,868,182,163,348,293,833,910,947,120,054,629,070,110,951,213,
063,254,344,767,177,242,531,099,930,863,950,566,636,788,232,045,038,224,089,
766,958,272,501,782,884,252,215,586,126,489,061,089,266,622,164,675,936,254,
458,372,084,874,135,298,579,393,137,495,784,644,184,097,312,609,128,876,757,
188,731,665,328,626,239,215,464,768,654,182,498,805,428,220,559,597,565,142,
773,001,278,249,172,581,471,480,454,139,911,022,257,697,931,505,565,561,813,
540,987,109,905,406,326,374,395,928,435,585,894,406,257,190,039,064,199,024,
739,194,945,371,169,515,349,302,918,665,859,705,429,308,217,317,738,080,328,
085,597,635,998,314,847,596,991,569,698,227,943,355,969,424,994,007,078,995,
094,200,266,624,732,234,691,137,093,948,019,066,235,100,733,991,501,930,503,
884,631,065,038,414,554,487,780,168,328,849,917,277,110,653,623,248,533,157,
655,979,530,951,220,781,783,929,691,208,137,236,750,358,359,362,149,643,170,
255,657,369,489,949,859,007,569,719,364,109,550,535,303,706,327,926,753,384,
465,971,212,014,007,149,209,852,651,156,598,197,558,793,620,663,823,543,517,
441,335,654,768,833,132,367,189,886,046,432,211,970,868,637,246,652,348,053,
080,662,450,758,840,802,977,169,416,813,199,885,596,999,965,038,279,824,808,
722,167,304,322,112,915,669,681,584,743,449,835,916,938,322,383,569,068,439,
796,795,468,110,635,363,131,540,174,107,288,204,641,199,492,561,871,484,699,
180,639,490,390,523,770,876,126,912,703,370,921,555,847,889,709,747,781,480,
965,168,865,134,474,314,066,765,939,190,911,730,909,874,037,149,065,504,181,
754,794,173,481,233,993,666,274,449,512,885,770,591,053,401,782,687,615,789,
772,679,062,514,779,685,385,717,200,672,095,294,443,419,765,589,210,292,733,
533,879,235,576,287,231,094,424,380,228,326,084,052,807,873,848,567,738,243,
656,014,447,268,508,815,326,267,167,161,601,856,118,735,442,830,095,098,793,
940,297,681,857,845,295,406,973,731,378,919,268,077,590,193,636,285,672,423,
208,722,354,664,801,578,474,937,535,598,935,363,373,803,412,436,606,345,642,
208,769,609,297,469,866,722,921,090,086,205,852,851,777,622,582,446,590,816,
476,206,253,507,796,851,842,978,764,833,604,233,743,220,330,024,886,142,736,
303,991,303,824,252,381,865,324,260,348,223,042,306,310,541,178,690,334,673,
777,541,529,562,853,809,329,523,117,062,766,342,974,363,424,814,135,465,824,
869,026,374,451,489,768,708,724,694,909,551,727,984,399,539,162,917,655,178,
381,369,655,195,288,653,498,590,252,484,524,945,136,092,661,009,319,172,064,
768,939,106,946,950,864,449,803,554,946,602,062,765,555,627,944,469,538,427,
057,936,331,270,009,761,948,030,040,206,865,963,868,272,971,477,791,467,279,
124,079,442,877,201,130,832,877,945,714,448,177,517,726,594,251,359,376,842,
398,077,362,359,733,906,333,210,582,250,850,070,108,873,926,183,045,428,208,
128,031,281,688,173,972,164,598,678,238,227,893,485,884,233,746,192,202,229,
252,138,887,045,612,729,536,394,701,440,749,363,045,089,693,101,290,949,350,
906,814,676,391,445,538,617,233,457,294,577,058,071,215,452,796,164,691,538,
317,976,438,178,069,005,263,827,007,536,327,647,386,696,437,574,582,454,312,
411,251,732,753,149,344,918,608,301,346,954,891,993,274,921,655,877,994,574,
302,298,448,864,111,277,799,170,771,604,722,913,024,385,018,983,401,989,960,
227,426,283,762,023,675,262,145,915,526,175,042,251,780,755,354,012,793,136,
373,260,078,695,916,443,616,770,201,944,148,960,676,260,325,619,897,349,828,
893,628,568,903,097,854,635,766,694,945,293,203,466,073,717,554,943,402,494,
332,958,297,013,678,289,265,527,921,139,520,798,115,734,517,134,017,498,653,
124,763,428,603,885,821,612,891,606,672,756,706,160,957,381,000,457,981,904,
568,618,694,443,234,663,047,765,634,716,353,123,008,248,548,103,386,588,805,
699,263,428,851,636,946,081,475,449,314,880,750,254,376,199,980,709,330,135,
406,481,198,225,983,535,178,432,879,084,279,412,338,373,668,128,543,686,040,
926,707,330,941,175,782,043,012,350,418,369,102,900,765,838,447,004,269,881,
029,895,658,281,202,721,362,212,500,144,154,232,246,665,194,997,318,477,797,
879,224,712,935,455,952,507,325,736,548,639,711,232,530,229,652,577,374,407,
385,281,691,810,820,491,463,187,052,884,779,733,004,348,437,415,044,375,805,
465,341,357,896,306,154,591,143,748,329,122,465,785,226,909,438,452,721,587,
589,926,629,879,799,828,506,621,774,891,588,400,841,614,357,137,267,411,268,
189,039,977,570,547,571,363,225,784,890,174,373,532,682,097,871,521,184,732,
847,632,281,546,267,237,171,548,271,599,779,797,062,597,647,796,583,257,274,
262,266,400,100,260,491,624,367,879,067,053,385,572,368,790,051,218,648,116,
426,444,998,888,724,973,922,597,581,825,296,653,594,720,051,663,844,359,521,
133,055,207,488,640,865,551,066,831,655,540,763,833,533,876,166,228,339,280,
814,732,322,062,974,036,093,412,801,958,461,667,301,697,185,494,618,728,318,
801,055,769,249,607,941,250,581,948,797,592,339,228,506,037,910,014,718,219,
243,762,140,289,981,583,268,373,531,528,444,708,085,963,772,389,553,304,839,
662,615,835,056,504,822,702,710,236,396,294,076,376,792,731,631,318,027,788,
919,204,666,524,988,982,040,619,988,638,231,816,369,621,696,768,108,974,461,
085,279,690,090,401,372,089,164,610,383,711,250,877,210,618,591,786,987,835,
416,310,462,216,623,368,204,412,980,361,627,743,994,564,106,986,472,615,789,
713,511,082,732,383,050,820,343,857,928,787,477,731,152,514,800,145,583,221,
024,133,194,772,515,420,181,327,273,147,019,586,737,495,101,271,120,908,604,
388,488,424,266,558,875,390,054,929,026,270,392,864,398,742,502,945,157,331,
725,657,191,988,303,201,504,488,038,755,648,616,856,445,630,238,927,155,579,
743,933,037,173,083,877,292,266,784,979,317,297,251,584,903,524,191,047,704,
838,121,218,193,925,894,132,671,076,904,716,755,907,615,666,297,542,035,465,
261,580,113,784,294,390,881,740,454,086,182,089,375,923,623,880,772,248,217,
733,661,156,396,693,612,120,338,312,541,612,050,247,183,002,582,346,550,576,
028,108,702,296,248,735,162,351,107,066,885,740,257,811,992,027,185,832,105,
354,702,424,752,071,218,456,040,018,789,969,281,001,282,398,479,078,855,197,
294,744,936,429,522,349,996,659,079,947,293,562,050,076,330,821,768,169,124,
358,620,603,675,923,040,982,114,779,248,822,094,007,171,427,326,920,092,164,
356,174,617,875,170,041,908,774,283,367,372,959,475,227,973,578,876,644,700,
662,951,511,950,277,947,089,578,275,258,487,315,108,924,947,362,335,375,636,
318,816,906,760,678,524,209,221,332,963,682,026,404,076,753,840,663,905,990,
641,150,744,387,688,178,588,221,193,476,217,176,881,439,402,572,941,317,163,
376,537,344,448,806,754,270,934,534,469,191,420,319,587,014,448,165,378,613,
089,797,391,286,638,444,153,719,046,934,693,555,773,207,000,830,569,558,030,
327,367,498,232,066,929,256,587,731,066,921,916,731,111,657,486,105,524,645,
501,115,509,100,916,923,765,202,248,383,654,324,622,754,841,115,111,274,594,
102,144,070,189,081,241,728,057,210,005,729,333,268,885,114,421,258,329,570,
236,107,208,333,143,437,984,855,196,910,138,233,496,452,771,544,603,913,095,
044,605,365,556,569,947,985,582,428,214,947,808,869,655,954,738,221,949,468,
809,454,004,049,814,254,271,503,259,677,991,214,920,054,042,831,977,103,322,
490,549,501,067,281,526,774,923,128,077,944,582,623,811,155,807,789,356,454,
954,245,108,689,506,164,131,734,156,402,424,473,286,178,417,125,976,433,221,
205,721,232,284,100,351,396,995,146,743,311,695,037,563,408,759,528,854,441,
775,019,054,601,734,321,566,510,475,076,997,460,705,012,089,292,427,158,049,
741,885,286,634,513,636,595,394,281,254,407,135,732,058,584,659,432,516,492,
870,373,328,626,529,671,675,588,581,075,033,392,746,765,645,460,641,464,097,
362,611,910,331,964,870,544,316,391,481,064,894,474,835,503,206,945,707,790,
529,637,777,507,775,493,523,303,822,611,992,685,560,717,839,555,299,868,092,
133,500,898,850,896,080,969,763,830,253,986,327,193,849,820,482,162,700,015,
612,822,853,580,145,556,482,440,768,536,233,646,521,630,071,262,043,363,847,
382,683,542,782,560,393,060,671,797,061,880,859,335,206,908,377,234,947,139,
260,516,797,401,333,357,536,191,933,455,542,266,514,184,927,030,914,728,754,
780,470,434,198,323,033,539,149,880,819,995,884,772,047,109,754,086,997,596,
563,719,435,494,733,865,528,560,643,609,172,482,089,102,935,291,998,077,059,
507,700,743,110,183,592,927,196,560,911,379,104,230,027,827,940,325,464,689,
732,786,025,549,429,113,865,403,055,099,522,222,093,819,545,293,435,053,578,
589,159,962,267,239,385,693,622,247,083,268,854,337,174,144,222,431,370,210,
213,198,271,513,809,563,290,469,635,156,942,679,619,084,799,227,016,101,766,
524,326,616,235,494,917,941,390,192,714,895,183,540,633,313,430,264,039,712,
290,636,697,058,760,793,879,030,107,647,850,778,986,159,482,038,648,695,937,
467,887,196,786,774,515,300,818,746,556,423,357,741,395,103,036,138,813,353,
278,504,564,382,024,543,456,650,446,311,517,484,684,557,122,074,702,474,428,
725,180,329,565,807,319,845,058,919,864,602,508,166,025,581,598,871,836,216,
641,017,778,938,248,118,219,368,005,982,651,347,229,100,953,686,643,276,790,
620,651,185,074,903,931,196,050,520,173,429,820,423,787,830,225,652,331,315,
498,195,837,222,909,739,308,317,416,988,428,088,905,598,637,532,682,403,047,
784,025,358,270,184,759,476,775,961,563,605,130,237,023,725,208,961,187,752,
434,937,924,134,153,547,428,733,084,825,658,425,164,675,893,099,327,197,049,
505,710,003,016,928,413,208,109,891,946,448,986,255,648,352,209,260,750,001,
677,290,865,512,588,919,381,094,749,677,876,843,922,147,749,670,577,697,527,
410,449,292,827,585,144,380,671,631,284,860,643,241,715,824,328,598,759,150,
781,430,944,641,530,350,469,039,968,576,760,572,740,563,981,080,120,237,987,
718,611,615,204,659,323,097,585,481,876,889,229,921,354,742,171,540,087,372,
485,558,630,253,558,066,578,658,583,188,012,913,666,688,111,630,582,619,767,
211,441,102,821,367,970,254,345,209,176,489,404,612,366,814,230,586,245,092,
641,823,057,508,015,480,707,396,752,377,285,290,295,907,462,926,099,318,114,
114,045,198,446,970,492,079,280,209,887,394,595,420,113,550,506,507,123,387,
379,595,426,087,642,326,606,979,539,540,503,181,528,313,532,208,912,212,028,
481,727,752,556,589,028,088,980,127,009,404,680,533,865,777,657,992,445,206,
280,101,162,218,979,110,903,609,803,211,291,403,681,579,351,579,036,471,509,
181,483,902,674,448,531,141,844,927,913,698,668,071,375,931,665,912,948,455,
949,042,003,858,147,892,588,034,622,417,873,078,462,078,457,276,798,404,426,
053,267,112,967,820,868,496,625,188,699,868,390,499,976,339,163,955,637,564,
696,525,056,478,272,650,740,650,161,598,866,821,161,631,325,676,960,386,896,
838,422,239,285,140,528,245,487,858,473,091,760,085,817,830,213,329,624,509,
397,996,300,717,272,482,517,276,072,443,645,974,051,199,719,552,664,704,040,
438,706,251,133,755,633,082,304,025,499,393,505,142,121,668,018,363,343,786,
477,818,383,108,327,882,284,485,078,860,655,617,976,765,804,998,359,010,519,
367,819,968,706,567,320,431,421,335,260,839,168,594,648,344,370,939,583,276,
342,373,715,647,438,978,015,982,161,102,716,257,827,773,668,732,933,106,979,
981,994,910,553,464,640,950,771,736,969,597,705,826,184,275,861,769,875,326,
600,086,513,062,965,363,846,732,073,211,384,566,901,771,539,802,223,042,317,
243,986,763,089,034,295,961,086,694,087,566,203,083,352,917,700,870,353,743,
109,306,520,227,959,998,887,880,172,101,900,042,305,089,953,742,235,042,125,
363,298,984,703,500,275,846,634,111,003,562,634,299,704,669,757,963,551,389,
298,113,423,789,008,686,576,489,726,970,812,813,274,516,816,227,112,953,947,
982,945,811,223,069,146,860,893,477,806,092,230,129,660,665,326,939,199,502,
585,258,471,012,563,963,736,789,213,071,677,842,612,966,154,938,463,252,278,
598,289,731,181,283,796,343,746,257,029,126,016,034,378,916,093,510,204,052,
829,653,458,315,257,057,342,291,646,606,744,056,851,452,569,773,468,871,751,
015,054,544,305,127,481,562,489,002,472,039,931,363,669,638,988,083,208,805,
086,042,442,464,188,130,488,952,548,917,292,932,334,261,356,302,924,295,328,
364,384,540,403,589,650,702,963,398,843,350,929,758,624,962,461,551,849,332,
477,604,525,120,851,362,752,420,006,795,813,497,115,507,571,520,805,744,317,
185,962,787,482,775,856,085,361,096,950,713,811,713,995,203,709,519,721,196,
895,175,297,047,359,298,378,382,640,435,835,727,441,891,366,834,533,523,365,
899,250,455,332,228,560,002,415,742,069,777,129,959,372,581,681,955,232,209,
105,941,152,629,766,118,103,861,376,261,564,135,823,959,374,546,519,783,760,
266,328,583,056,715,869,975,485,322,028,138,255,841,252,002,271,085,364,206,
571,552,469,788,479,838,889,667,368,966,471,948,152,579,935,557,722,195,133,
334,947,364,826,200,043,353,756,997,270,031,508,731,426,826,720,302,480,063,
932,861,032,408,754,323,418,525,306,704,224,821,601,824,012,039,279,210,884,
292,380,898,280,180,500,851,628,141,376,953,058,068,178,736,169,235,425,346,
813,154,568,680,726,694,722,337,065,224,833,281,831,424,987,854,218,134,688,
921,203,406,691,169,299,415,072,949,467,806,679,121,427,825,001,903,908,773,
099,214,929,126,480,597,159,942,040,168,813,304,240,387,904,834,332,424,118,
760,877,776,818,977,913,654,355,712,422,959,934,135,420,267,952,291,332,483,
699,120,873,736,233,642,076,969,071,029,366,292,033,343,087,279,309,356,800,
767,061,287,331,923,393,485,276,711,620,448,601,971,599,860,541,614,499,044,
961,626,023,838,461,560,246,654,967,738,534,060,993,890,151,159,747,814,492,
576,959,233,104,254,944,880,825,789,418,254,426,109,028,779,772,113,624,228,
191,915,306,446,500,016,575,429,813,169,255,952,304,100,433,224,253,781,089,
414,459,950,161,839,679,195,850,317,723,919,999,841,866,401,956,250,566,484,
711,752,789,835,891,570,284,951,414,583,423,212,358,095,447,012,992,378,736,
598,355,193,118,437,185,675,618,832,634,492,942,998,843,067,124,394,711,017,
660,394,735,692,476,158,278,483,303,445,457,645,343,873,677,091,571,124,143,
476,640,407,930,258,433,580,229,864,383,103,262,174,099,673,705,846,415,677,
478,438,651,466,078,721,769,658,788,432,123,264,421,189,699,921,441,630,374,
796,181,203,582,227,517,384,582,970,603,866,320,934,009,402,026,432,865,468,
664,709,721,217,090,115,210,185,513,594,440,602,453,872,389,585,722,055,908,
515,896,640,553,969,193,591,008,351,276,841,589,744,191,376,565,271,308,941,
590,844,467,286,532,469,447,419,129,543,190,677,346,298,274,416,740,822,913,
562,414,103,438,781,399,295,757,157,654,743,013,170,049,885,985,614,580,367,
377,377,900,887,939,651,697,106,138,250,319,274,530,754,623,626,196,524,396,
568,049,516,685,227,134,372,736,457,668,628,679,970,138,847,359,877,917,292,
974,798,207,039,087,332,845,769,468,636,987,779,386,407,842,049,885,181,963,
812,726,952,076,895,926,337,488,474,470,207,681,730,391,991,425,350,674,258,
856,189,563,546,857,416,215,978,165,326,870,702,080,347,444,339,680,981,343,
872,166,573,705,479,355,147,381,531,429,568,466,234,242,309,013,707,379,752,
924,033,347,087,497,050,778,295,785,332,062,044,385,241,244,506,454,963,006,
302,157,015,979,412,486,134,422,842,201,730,041,563,628,326,545,420,173,578,
724,255,834,746,775,206,632,911,372,619,219,831,714,122,493,438,233,630,280,
956,132,282,030,178,864,396,917,132,871,479,969,455,434,691,018,002,357,775,
893,907,614,405,315,398,085,924,140,268,702,457,193,104,389,970,473,218,014,
630,455,728,741,776,949,524,382,524,245,456,782,529,623,023,779,613,705,832,
129,903,865,526,668,001,372,388,756,135,366,109,234,039,112,118,311,269,840,
040,228,955,612,189,893,924,454,225,937,903,555,038,108,045,181,387,744,607,
513,533,143,300,031,973,419,193,952,825,245,612,900,371,623,584,495,235,337,
622,823,358,418,100,706,236,542,555,492,168,697,530,710,078,815,859,045,083,
460,369,827,761,692,942,521,901,809,542,242,073,533,682,479,613,076,024,898,
628,069,122,025,948,036,495,232,883,703,076,250,599,311,250,374,514,214,844,
350,736,143,217,133,346,914,333,201,031,557,738,106,674,864,157,377,715,028,
984,457,998,159,497,562,977,622,596,960,265,792,231,314,976,686,843,517,733,
834,679,843,220,928,178,418,486,854,999,939,129,984,538,443,625,643,710,575,
117,933,206,013,589,754,993,618,141,251,986,137,718,557,339,141,198,248,103,
090,866,353,559,888,759,095,749,889,067,094,927,167,920,908,970,565,573,152,
192,346,313,313,581,099,496,845,014,633,171,837,773,299,917,993,952,296,350,
279,473,352,064,565,731,856,952,974,271,517,186,242,225,335,752,813,029,344,
167,237,958,755,057,684,465,612,002,437,841,262,994,681,429,296,824,913,087,
218,435,518,123,237,014,873,634,144,538,944,699,558,502,256,179,991,566,575,
160,390,131,577,899,837,756,679,833,783,801,356,793,846,024,143,517,901,068,
017,874,559,358,319,860,313,030,103,709,417,987,675,729,284,084,793,089,445,
147,895,689,484,418,088,653,955,161,760,416,145,541,101,746,505,508,894,754,
956,474,044,644,500,635,059,404,358,487,660,060,481,423,033,730,281,615,904,
372,480,067,311,334,721,224,613,859,229,717,820,595,031,915,823,790,707,640,
650,057,264,272,955,045,012,608,439,627,818,227,957,470,058,015,368,674,897,
528,925,901,788,188,162,396,292,225,495,757,922,397,635,010,113,249,578,117,
651,706,257,702,864,436,578,808,017,042,069,648,884,135,877,222,395,957,833,
330,040,712,456,837,805,681,259,932,392,244,337,120,326,653,415,965,132,659,
781,949,130,435,132,740,306,737,211,174,841,494,142,291,052,665,624,195,749,
103,121,443,716,965,446,503,566,536,506,183,849,772,571,342,075,411,872,053,
371,479,606,078,892,769,674,307,353,642,278,664,532,373,162,589,415,775,578,
304,651,907,433,433,788,729,731,794,138,890,076,252,507,731,177,754,605,580,
045,346,776,893,274,608,255,976,637,135,823,283,048,407,789,585,979,493,849,
190,456,380,919,324,560,711,593,972,593,517,974,283,166,627,589,908,864,166,
642,164,665,806,542,147,135,810,481,038,819,049,632,514,414,486,589,034,982,
174,084,578,830,881,967,111,253,372,031,903,951,341,042,305,663,157,717,716,
677,071,160,587,453,028,807,253,382,856,605,199,231,943,846,278,922,363,339,
897,626,307,218,291,064,232,002,166,411,222,129,957,858,737,945,690,643,509,
370,723,138,349,196,834,402,108,333,587,339,402,346,698,423,639,443,680,125,
027,382,572,034,307,706,922,561,612,018,859,936,353,962,675,315,334,607,625,
524,956,561,402,824,473,557,203,391,622,229,984,044,220,798,940,985,701,317,
775,971,048,164,845,244,633,429,714,619,692,923,374,096,976,480,243,837,886,
790,428,333,627,450,270,649,144,469,215,672,447,779,652,473,606,331,891,044,
848,528,507,994,538,180,905,755,629,201,286,235,727,589,532,574,374,119,961,
554,573,039,561,754,706,509,705,908,068,630,790,858,714,673,139,398,879,884,
028,361,985,357,577,232,961,610,095,736,336,749,918,342,240,479,934,512,119,
378,099,606,637,948,199,665,621,006,033,718,388,760,686,217,812,640,013,389,
925,160,904,385,681,463,430,896,557,633,666,757,470,667,910,157,818,749,730,
749,844,589,490,761,230,986,283,936,054,764,712,750,043,192,699,720,340,835,
327,779,174,359,066,375,087,329,057,647,119,988,853,827,184,337,362,469,974,
652,005,074,539,218,360,941,530,394,561,920,525,128,845,029,911,485,509,249,
564,716,655,864,484,740,466,892,625,996,834,377,272,483,790,821,749,716,616,
873,161,382,649,787,691,485,032,182,292,685,431,327,410,313,511,338,050,658,
347,829,878,480,637,875,356,785,101,797,615,072,955,116,796,273,579,465,541,
334,775,749,650,423,809,511,603,751,483,666,648,416,494,749,795,550,217,030,
828,445,980,810,385,986,855,383,486,054,848,045,918,038,881,012,127,798,973,
836,308,177,852,718,042,625,119,050,019,613,455,111,292,492,252,489,534,531,
032,913,281,633,567,272,924,575,563,045,302,693,528,472,880,882,344,804,870,
278,815,943,493,022,742,228,927,418,707,598,415,252,585,754,391,998,765,247,
586,467,711,383,705,224,834,603,797,340,366,531,084,916,268,691,557,959,340,
271,250,366,202,800,773,729,492,636,507,677,415,247,149,942,837,144,352,200,
341,063,683,842,184,047,205,832,599,498,265,049,322,025,628,210,864,265,845,
507,976,937,309,405,386,421,481,956,761,295,743,485,994,808,550,185,446,638,
011,234,978,848,561,730,618,142,706,179,500,882,216,456,041,708,030,948,046,
216,951,315,236,339,959,600,527,624,360,061,623,463,554,633,227,939,617,048,
140,289,804,030,152,122,401,490,410,546,565,951,305,073,136,715,297,840,782,
630,502,068,935,141,110,575,367,983,466,928,553,730,783,926,533,533,263,522,
776,527,689,596,225,515,068,017,285,427,602,156,047,029,742,395,884,344,844,
730,156,816,302,851,909,081,475,436,229,506,208,288,061,363,253,612,316,911,
714,522,599,569,565,524,926,339,225,018,532,838,962,435,546,369,452,961,955,
560,685,703,936,608,996,491,945,047,537,370,285,737,018,904,656,325,449,139,
310,317,008,057,358,020,639,878,144,339,764,966,152,561,259,440,940,777,627,
426,511,645,634,660,637,781,341,207,066,940,956,591,030,112,446,006,768,251,
136,161,010,642,256,012,314,099,560,335,681,234,729,161,986,880,690,891,888,
543,171,700,029,779,115,903,723,081,013,231,096,911,381,726,037,564,680,315,
759,953,252,853,361,525,135,205,658,093,731,720,011,944,722,169,108,521,137,
938,061,737,677,094,795,316,003,164,731,691,650,507,026,558,507,296,349,646,
651,942,163,338,785,797,893,321,229,935,723,562,658,243,756,221,113,989,705,
860,353,325,515,729,160,191,337,836,482,558,159,648,067,017,059,662,983,485,
344,160,597,766,564,783,698,011,232,455,278,760,340,662,186,041,597,900,308,
510,997,053,092,714,839,041,531,119,867,192,905,604,092,816,491,115,841,978,
818,089,086,685,828,831,756,999,549,964,648,574,995,260,585,546,347,919,867,
800,048,894,336,301,635,891,730,027,022,343,789,374,124,253,186,687,313,280,
705,276,600,523,003,719,138,869,584,918,295,822,510,799,267,330,927,121,862,
673,134,341,317,463,477,854,584,816,423,786,668,194,734,895,125,463,813,464,
325,996,385,835,388,264,089,722,528,965,144,311,101,559,212,924,755,823,558,
936,185,104,419,029,721,022,989,636,569,240,663,144,059,449,672,165,839,268,
227,860,493,419,449,238,347,720,937,781,224,457,529,494,281,786,143,699,763,
367,333,842,677,898,990,068,272,936,680,867,054,683,977,100,942,293,578,331,
206,628,444,501,011,637,069,020,290,768,877,222,654,822,672,285,861,978,555,
118,176,646,277,382,513,243,136,396,383,651,684,487,874,787,962,878,830,172,
827,436,446,515,660,008,672,407,338,031,959,851,464,013,862,643,987,013,916,
674,780,929,177,549,471,042,808,758,017,222,875,514,294,618,864,142,372,441,
499,452,596,917,527,144,039,571,166,923,258,614,349,140,246,567,084,203,184,
433,481,590,256,870,753,463,114,832,254,308,305,002,738,224,870,254,385,664,
873,662,635,245,015,528,282,552,880,199,022,052,680,410,964,994,297,447,611,
380,314,690,034,958,678,247,420,347,935,819,752,813,737,762,267,247,831,642,
326,159,487,337,226,590,396,695,577,867,193,269,366,680,526,596,770,557,862,
378,070,510,444,012,318,754,542,766,168,500,140,482,908,311,975,920,682,340,
041,969,556,617,545,552,837,796,028,623,274,432,274,879,248,773,637,973,473,
550,565,125,749,827,359,244,271,547,627,194,933,862,541,724,918,711,346,730,
548,903,865,700,697,606,317,154,250,454,199,134,847,221,409,004,638,774,884,
266,054,143,922,705,966,860,106,603,574,063,165,658,529,809,764,763,864,699,
861,323,076,924,779,851,423,479,380,434,117,552,981,603,845,194,219,622,853,
758,166,091,744,578,684,488,162,636,399,107,504,808,206,941,897,101,388,267,
855,649,449,401,746,978,121,899,238,368,233,729,132,635,060,904,194,389,388,
254,556,022,051,608,259,380,018,872,930,427,825,933,538,630,044,403,193,000,
299,904,716,851,407,915,809,911,243,503,194,231,791,901,844,912,186,365,153,
198,306,049,616,964,492,506,819,037,673,762,812,793,840,222,665,000,499,291,
358,748,906,163,429,653,406,423,954,974,206,802,035,333,668,934,089,085,706,
831,711,138,483,708,026,742,343,516,817,908,331,434,372,787,286,063,595,863,
433,469,208,019,948,350,337,529,610,225,566,144,608,454,348,989,591,816,676,
042,335,519,813,418,131,396,185,121,192,407,396,034,069,538,238,187,461,159,
110,082,430,360,380,655,329,046,943,224,896,236,504,123,937,900,151,749,845,
238,898,564,225,712,688,941,216,250,322,259,333,253,330,391,337,115,173,263,
298,146,809,406,723,579,320,601,655,902,329,159,105,711,529,623,787,100,681,
049,271,226,557,453,789,253,645,803,680,554,983,053,962,097,575,603,840,651,
850,251,123,058,125,951,087,747,471,730,376,038,349,284,119,848,826,648,477,
169,098,288,945,242,535,297,341,984,617,993,905,946,823,666,963,146,395,711,
639,139,183,233,553,415,726,299,250,766,089,401,670,734,808,471,191,496,975,
793,872,709,447,848,714,968,114,685,131,316,391,318,913,094,355,657,331,342,
380,495,676,027,946,516,257,566,375,003,024,763,522,858,244,553,315,346,370,
009,238,599,239,956,508,434,127,587,331,904,742,123,427,302,108,497,019,377,
314,655,774,616,270,350,000,573,762,098,001,551,482,014,732,408,744,202,824,
827,835,276,152,193,152,817,265,209,679,075,146,324,022,581,707,833,496,287,
105,875,292,771,385,704,914,582,009,873,119,217,274,600,621,570,839,987,223,
637,103,299,815,628,190,390,716,856,695,801,627,142,680,845,420,542,531,999,
159,732,521,521,468,828,100,055,264,003,174,140,797,287,992,322,698,283,471,
401,931,967,181,273,650,306,743,641,983,666,028,181,780,295,684,189,587,879,
324,708,856,704,316,037,614,171,072,222,197,103,521,297,133,514,103,232,562,
438,835,725,962,609,836,497,529,693,239,424,024,709,568,060,494,279,851,770,
140,810,919,181,138,347,060,300,242,434,314,826,644,796,457,693,606,273,107,
361,472,382,038,339,949,383,039,299,971,883,570,845,431,773,469,046,327,635,
090,311,212,513,049,955,724,926,340,571,202,832,882,185,765,066,156,786,453,
993,515,699,537,850,859,363,626,425,179,115,621,426,034,816,664,030,682,694,
303,314,872,369,386,140,020,666,182,842,466,349,789,214,101,425,817,525,607,
123,435,063,937,726,750,309,649,912,646,325,905,042,847,548,546,817,870,081,
339,442,397,215,686,625,155,539,996,479,083,590,716,706,638,711,737,782,764,
281,959,129,426,540,741,833,831,424,050,319,834,746,871,823,453,694,573,023,
915,615,412,118,486,416,793,050,531,786,936,390,461,796,002,282,667,129,135,
883,913,779,350,079,509,921,302,897,677,881,417,802,095,014,514,007,360,378,
696,379,220,554,625,065,673,038,926,982,213,949,420,579,972,249,404,739,157,
929,834,532,312,361,310,016,938,176,398,245,611,968,767,955,416,335,890,826,
161,190,240,138,426,356,381,551,210,415,588,454,535,782,422,594,957,394,799,
169,539,186,118,059,893,387,026,753,882,649,719,472,919,757,900,875,485,531,
964,399,386,637,691,187,176,055,840,184,622,166,454,975,519,104,635,093,534,
746,433,455,328,528,413,255,014,855,675,842,921,511,430,445,513,922,965,383,
628,682,288,012,670,741,975,518,279,473,706,661,813,047,491,063,636,011,816,
811,405,655,550,414,011,450,597,382,340,646,621,407,199,963,896,995,159,544,
062,950,351,269,965,926,035,024,070,976,862,379,185,092,151,320,459,383,259,
456,123,746,073,848,532,980,991,042,518,266,207,958,537,006,873,560,009,534,
074,624,385,567,469,542,485,656,135,993,796,399,149,456,702,713,051,661,169,
594,859,453,771,130,499,519,025,101,125,728,514,201,247,636,241,519,645,814,
240,296,037,124,776,362,087,537,802,044,337,717,248,349,746,071,230,747,405,
213,538,708,211,355,975,372,176,807,133,758,380,643,255,554,838,479,838,024,
106,199,968,668,077,895,989,877,338,773,345,463,369,895,330,129,841,279,333,
297,629,006,776,375,998,519,027,413,954,238,829,563,722,394,521,332,350,807,
972,545,254,074,336,760,561,802,360,895,923,876,283,459,098,778,632,544,168,
863,540,973,383,651,391,544,580,700,154,169,733,675,031,017,711,551,738,886,
008,796,987,608,329,813,268,702,214,406,021,065,211,630,313,889,760,623,795,
755,492,364,448,934,200,362,421,966,524,726,798,347,188,683,410,806,224,650,
942,151,945,599,556,279,218,776,576,965,079,620,189,617,650,851,789,858,263,
187,478,034,374,832,038,479,724,616,872,714,944,566,204,631,374,425,335,883,
830,499,585,451,310,043,586,635,774,322,764,159,369,653,867,372,622,302,354,
736,205,856,044,301,416,905,779,826,851,355,371,891,062,955,817,957,616,589,
650,953,509,878,848,118,104,210,144,068,109,089,391,860,519,525,475,241,978,
595,477,914,102,643,515,696,609,907,955,576,755,829,421,325,496,939,228,731,
519,524,114,384,184,533,210,635,063,169,116,246,780,157,370,626,624,462,344,
732,011,610,453,955,976,481,672,333,430,813,029,327,630,051,038,206,153,030,
997,385,356,031,728,597,988,625,757,530,856,354,164,897,482,847,138,552,048,
223,202,970,382,101,107,039,802,018,363,401,986,152,830,279,950,357,573,061,
585,496,821,653,787,531,408,601,689,497,030,391,222,126,796,667,091,828,073,
482,340,210,825,000,200,562,047,679,671,809,714,873,859,051,124,366,450,994,
202,152,980,824,255,297,162,563,933,417,445,014,650,739,388,030,094,190,760,
497,761,529,457,840,113,339,863,618,860,091,893,243,087,339,498,355,225,426,
288,053,911,143,418,680,588,801,859,798,954,767,585,115,588,377,362,611,297,
218,298,282,790,188,956,092,055,077,507,425,883,785,021,179,232,310,067,139,
634,364,495,351,574,550,750,672,194,931,221,127,811,598,428,856,551,787,440,
445,641,246,259,100,366,868,955,085,719,075,641,204,078,795,070,196,500,274,
700,291,897,829,630,063,475,813,793,295,323,231,324,205,273,150,257,369,892,
544,156,124,415,595,153,967,665,895,765,412,739,289,522,408,609,183,185,935,
668,923,064,917,727,552,947,854,950,895,544,538,426,300,443,697,876,646,407,
097,444,711,581,468,372,645,468,191,252,139,477,071,660,480,209,256,286,020,
592,871,316,141,936,506,154,327,789,529,406,780,127,146,450,865,522,879,290,
193,387,872,288,155,648,730,861,221,444,256,212,910,018,478,660,889,583,756,
726,611,602,590,715,022,858,844,267,982,333,643,644,673,773,543,916,694,899,
210,115,843,791,856,456,985,944,469,057,119,735,437,662,742,891,339,282,377,
395,120,681,481,685,719,092,519,361,279,505,896,418,836,265,257,712,571,335,
174,747,497,020,614,606,013,038,104,847,563,195,971,531,779,559,564,424,558,
535,323,495,017,750,159,274,210,629,902,243,503,420,315,308,822,498,454,012,
219,605,706,746,280,708,448,447,409,551,428,613,900,532,430,933,176,057,257,
615,645,490,199,424,208,624,912,182,430,854,715,940,300,345,268,389,190,732,
689,226,116,480,355,466,130,579,000,034,437,955,461,028,879,738,577,622,542,
762,459,727,757,008,458,997,363,210,786,755,201,527,448,286,304,228,018,887,
901,211,150,606,508,738,992,979,122,195,754,243,324,955,896,646,116,373,719,
766,281,301,066,332,264,491,970,644,283,600,649,992,584,070,819,403,286,142,
370,165,375,256,307,134,729,533,048,509,967,534,982,756,154,409,917,428,643,
840,436,335,817,342,498,783,652,380,164,414,043,659,057,776,971,156,718,663,
966,171,384,670,571,937,532,514,711,383,141,913,126,807,650,634,323,569,528,
167,368,298,042,742,392,654,077,481,306,770,095,856,066,012,412,932,091,759,
406,710,534,748,387,747,687,519,596,809,846,065,903,600,607,641,740,439,945,
088,516,401,808,913,665,728,083,243,848,188,581,209,360,632,313,447,557,984,
903,396,589,678,703,865,463,919,262,168,320,699,338,844,552,893,589,297,119,
054,305,875,197,388,076,729,217,872,365,643,025,861,056,534,778,319,651,542,
354,865,881,912,988,390,126,761,374,035,463,173,726,994,404,964,982,053,722,
749,726,122,479,466,387,694,472,100,306,914,561,959,511,009,303,306,433,849,
909,759,319,888,763,679,994,908,907,428,399,479,172,349,965,420,640,244,269,
555,061,037,735,129,668,410,490,707,029,403,264,854,410,536,672,197,736,582,
385,508,668,654,543,161,249,918,720,124,411,913,053,048,889,908,390,725,742,
405,547,382,894,473,507,735,262,130,809,613,235,428,088,980,461,248,311,517,
867,990,068,514,004,188,916,515,388,312,388,549,677,848,019,494,603,534,036,
654,465,650,503,594,840,082,702,034,785,635,166,795,033,637,483,690,117,345,
469,350,437,842,885,577,969,388,071,687,269,532,665,424,556,848,085,475,806,
405,279,968,770,509,380,297,805,456,263,990,351,625,083,077,110,954,013,651,
668,413,090,520,874,550,408,442,139,076,276,818,374,315,543,304,999,159,772,
395,826,054,984,039,806,068,396,749,994,582,432,117,167,102,396,167,498,441,
388,148,669,376,835,798,922,310,018,064,259,455,208,363,140,676,190,376,381,
739,185,909,968,837,317,816,079,247,315,287,927,944,480,575,738,159,075,474,
827,398,443,575,220,347,767,055,450,169,181,014,946,593,872,193,622,181,848,
163,522,023,585,404,097,342,656,940,172,481,782,345,458,024,490,245,317,743,
012,788,748,679,689,806,330,434,782,550,655,758,011,348,179,580,513,330,473,
703,606,074,013,527,454,791,287,331,116,748,536,029,910,946,477,019,555,481,
056,445,582,455,187,800,096,789,298,685,809,423,152,949,278,126,031,950,746,
867,614,523,332,344,125,741,375,543,456,584,656,229,848,196,591,599,254,885,
275,488,907,229,528,008,042,572,153,193,834,081,707,694,918,169,961,101,196,
372,246,810,280,652,497,308,910,478,653,421,354,039,883,943,852,697,366,000,
669,632,242,805,501,662,783,866,278,361,194,957,879,604,145,599,345,561,671,
471,359,860,159,740,838,912,494,012,276,369,149,306,922,155,857,838,267,055,
551,744,354,209,267,249,020,808,247,154,501,848,733,389,879,376,917,293,768,
905,929,035,280,184,184,228,969,897,297,881,222,193,019,489,086,432,884,189,
522,483,034,878,817,890,757,515,943,555,333,005,713,031,483,179,342,403,819,
767,130,287,383,318,133,134,716,207,951,469,182,976,413,277,790,367,593,666,
194,673,962,437,586,788,705,721,334,574,785,307,465,706,731,797,786,472,236,
398,328,270,225,007,307,251,068,917,097,378,006,542,758,073,573,220,096,593,
036,148,026,679,303,265,568,625,692,657,643,580,157,740,307,237,284,213,721,
713,417,167,378,217,560,465,543,130,706,851,719,622,951,808,537,132,262,078,
663,504,639,903,786,988,656,622,277,521,270,209,861,017,909,920,972,681,023,
120,591,306,745,139,019,915,975,682,313,253,871,676,048,850,432,417,910,736,
030,012,248,588,560,703,412,594,578,364,935,519,490,167,821,984,999,844,658,
685,379,350,405,911,490,148,252,315,792,308,778,835,077,811,757,799,515,681,
596,186,977,040,883,656,071,438,458,936,974,354,903,636,594,256,286,712,170,
421,239,712,159,121,886,537,655,686,926,538,851,796,224,255,802,594,526,999,
756,270,722,297,814,597,779,211,201,716,482,373,087,299,741,089,733,545,381,
480,247,111,513,062,235,816,903,566,722,752,037,751,663,236,900,397,239,016,
515,832,825,338,360,145,245,394,409,647,565,116,825,152,228,646,308,427,095,
336,920,622,942,633,271,764,724,255,061,488,944,117,539,710,915,016,220,154,
913,276,977,753,025,545,436,850,370,740,855,844,311,801,987,751,672,362,835,
715,087,191,224,269,961,261,053,317,773,413,925,759,274,515,042,482,623,846,
835,399,740,269,898,788,098,205,757,143,145,562,255,021,707,241,182,333,981,
827,330,973,043,802,319,571,131,183,783,574,837,745,942,885,728,796,597,797,
379,200,612,876,601,790,852,201,393,990,966,550,345,866,454,645,864,262,365,
745,218,946,429,095,536,305,820,243,876,099,892,363,929,944,325,731,065,510,
941,396,660,026,554,526,453,204,802,400,835,935,088,423,738,608,040,744,189,
895,181,535,886,330,534,391,037,771,285,887,322,606,820,095,878,582,150,801,
186,821,697,236,849,741,022,359,210,552,943,703,879,305,954,380,102,447,281,
022,278,465,137,255,858,304,031,925,910,274,073,059,568,185,299,783,882,206,
700,564,127,332,521,799,721,476,752,194,633,558,660,578,940,995,765,138,181,
399,231,278,817,541,629,013,287,830,463,503,838,716,024,442,841,050,585,461,
958,593,393,545,092,161,688,666,178,383,298,418,457,613,865,824,183,045,039,
998,482,840,538,812,923,232,287,280,246,857,912,003,294,520,685,614,618,192,
261,440,991,021,745,049,088,049,827,145,841,531,310,800,461,639,732,530,782,
357,558,141,277,194,601,354,357,167,150,296,239,228,387,458,231,605,688,227,
786,659,452,761,164,370,482,425,205,181,949,575,663,739,564,913,286,814,444,
146,278,439,675,554,336,616,625,721,948,625,037,921,627,944,946,765,460,597,
099,318,838,808,781,705,543,873,327,657,356,675,208,815,035,566,264,311,938,
313,168,911,450,761,770,067,641,091,768,094,009,904,997,601,627,602,516,470,
562,770,805,571,345,698,843,822,170,380,342,484,845,242,371,350,974,377,620,
033,447,311,539,508,306,442,265,222,506,507,238,892,598,574,438,147,555,159,
690,044,100,888,641,986,257,594,813,197,607,744,868,191,416,815,166,285,308,
165,259,705,991,011,207,703,985,921,135,702,063,707,102,066,766,943,775,529,
025,411,939,468,321,259,621,380,099,693,779,587,294,191,805,121,537,372,844,
104,183,900,786,427,126,058,791,530,322,146,356,332,656,694,622,217,264,821,
156,568,711,023,483,428,048,264,011,511,025,854,172,542,253,226,835,237,669,
020,795,720,804,450,774,159,072,296,251,823,009,215,329,304,672,938,099,449,
413,791,052,569,545,626,298,461,750,466,638,021,857,011,668,046,517,438,405,
840,991,618,396,157,682,052,392,993,118,603,453,397,925,037,831,359,609,388,
818,334,050,035,678,430,144,070,491,645,665,797,763,145,488,363,276,674,837,
772,648,343,369,106,773,207,245,171,421,951,281,532,197,040,708,285,082,150,
596,972,635,403,480,828,211,074,156,120,519,345,740,544,253,566,850,081,476,
815,079,598,258,852,053,947,795,359,252,951,728,872,979,834,927,697,742,059,
651,276,580,518,098,570,228,155,677,226,691,486,083,437,648,841,272,998,668,
840,272,646,118,591,757,558,673,736,370,139,167,837,861,775,959,353,212,448,
535,746,311,616,005,712,142,055,284,850,640,330,081,672,225,140,207,371,244,
461,456,456,424,761,723,683,560,859,080,788,224,214,674,599,679,797,381,602,
740,969,081,937,323,710,716,012,016,300,328,883,299,631,420,584,728,733,498,
755,708,928,639,988,721,337,949,076,875,051,634,254,930,418,488,999,956,748,
690,688,699,201,581,156,080,666,084,214,093,982,774,301,336,749,466,803,434,
933,697,578,266,133,083,314,001,196,440,688,651,809,623,437,058,956,120,765,
856,929,502,709,274,207,771,565,616,548,966,452,734,349,049,958,017,248,415,
649,239,113,152,174,758,593,767,421,051,319,177,851,781,526,806,759,895,632,
829,350,762,893,853,120,084,744,445,986,370,037,910,637,345,506,023,274,609,
114,208,742,627,652,511,281,429,003,384,662,668,253,403,243,875,574,950,460,
253,792,121,855,255,536,670,004,154,238,318,730,807,632,810,134,850,381,895,
533,237,972,944,359,661,112,590,258,919,798,819,177,370,015,303,487,095,169,
029,875,624,471,035,703,379,953,712,619,956,699,650,620,880,145,606,508,635,
109,055,804,725,405,264,025,927,147,753,832,562,743,935,506,679,000,716,915,
010,085,349,635,622,771,125,752,287,071,151,901,008,803,260,875,023,046,967,
563,346,343,614,125,260,240,982,241,597,622,973,167,055,871,368,774,878,120,
882,811,975,379,690,612,172,851,160,631,741,670,829,972,723,703,399,809,793,
935,390,153,374,218,747,355,813,401,825,029,690,042,613,686,626,314,360,211,
525,082,879,046,332,288,725,399,368,296,259,428,546,419,471,531,322,406,630,
723,606,665,108,107,725,077,775,238,312,843,275,443,972,627,253,366,810,548,
917,361,688,946,163,083,785,967,148,327,749,074,763,027,939,256,088,657,536,
005,591,332,740,804,336,562,927,581,691,789,915,920,445,253,802,299,495,294,
792,511,765,184,090,442,032,585,836,787,970,377,039,263,097,839,456,928,079,
047,883,123,538,672,771,817,156,661,540,116,081,345,094,315,883,066,120,284,
069,650,739,807,982,641,600,427,888,873,693,228,949,895,185,036,524,258,943,
805,374,627,474,826,230,805,638,950,538,637,819,824,096,323,154,330,882,858,
380,025,171,203,573,922,977,143,753,632,312,294,681,825,119,521,332,176,000,
273,215,601,917,498,762,785,591,126,677,024,721,211,612,745,314,832,724,854,
797,200,064,325,543,151,063,198,922,839,412,851,292,712,738,974,702,548,738,
866,225,017,085,594,251,258,045,974,868,839,823,978,200,128,741,849,164,081,
523,423,920,900,179,726,051,489,342,438,249,813,134,859,876,079,328,126,899,
423,861,793,778,524,751,986,461,987,414,199,880,433,331,365,193,913,352,773,
391,622,754,829,231,309,864,855,186,100,998,795,568,119,948,455,364,157,291,
418,903,137,145,707,315,329,254,182,326,698,677,260,110,678,971,731,348,163,
303,967,261,103,986,912,875,847,030,914,495,806,264,205,559,999,841,417,351,
441,027,463,275,849,946,776,674,713,039,854,609,522,587,241,640,418,831,469,
361,776,948,530,260,671,011,456,978,122,888,489,996,464,449,224,013,978,879,
453,796,960,150,122,950,330,414,375,301,300,557,853,652,390,184,707,096,454,
063,373,924,001,278,279,441,028,943,584,076,474,669,026,039,469,945,792,565,
364,067,333,480,108,816,982,558,578,560,309,658,387,229,197,683,451,756,783,
489,843,833,337,243,535,991,903,313,484,792,019,817,786,121,961,671,009,301,
573,512,907,128,545,435,739,316,538,739,924,404,657,167,245,573,146,108,109,
800,248,754,209,816,721,688,582,725,335,584,104,051,285,159,836,946,171,016,
623,305,090,693,188,451,829,559,512,317,202,112,513,910,593,213,479,217,147,
754,038,933,906,631,735,013,227,611,300,659,104,390,402,427,474,706,176,673,
392,424,597,580,973,752,729,173,303,339,676,402,484,692,174,161,344,639,719,
292,970,222,584,431,068,508,711,444,239,925,565,991,444,782,643,245,030,396,
212,912,801,111,168,558,396,156,919,190,394,961,460,465,011,439,431,640,267,
170,551,453,215,989,949,752,432,400,010,608,290,353,998,387,655,621,320,089,
653,207,332,258,609,193,512,530,100,163,581,406,808,857,255,642,359,401,897,
404,429,919,328,668,622,221,159,297,813,755,808,572,949,552,240,947,512,221,
878,232,788,776,555,872,883,614,196,976,219,250,578,913,722,992,638,305,171,
019,940,299,852,143,962,476,434,761,583,596,937,318,664,789,119,439,942,895,
244,453,042,270,222,731,882,490,599,998,706,433,096,753,911,712,828,209,249,
532,902,574,840,336,142,017,909,288,170,670,792,215,858,092,190,818,980,825,
619,434,470,585,071,135,242,634,058,851,983,085,947,169,190,334,220,390,404,
295,481,985,224,574,363,182,967,359,545,788,945,800,872,163,099,993,505,545,
665,053,611,144,371,779,017,810,491,131,507,566,104,471,196,235,216,281,524,
351,335,081,419,820,515,745,083,650,041,566,779,018,472,281,948,406,173,947,
195,676,605,064,935,499,444,117,038,827,102,562,924,209,495,894,968,596,333,
698,128,141,104,057,306,321,059,408,822,095,812,382,776,902,892,118,758,724,
185,041,910,103,645,138,322,821,838,637,017,690,918,902,816,954,330,791,350,
244,183,430,988,104,567,057,122,814,974,297,980,407,231,809,023,442,279,125,
514,333,936,924,953,172,482,578,737,496,174,830,911,788,992,606,265,158,488,
299,105,787,251,226,422,507,984,804,153,828,197,602,169,689,572,967,853,684,
127,172,948,671,639,884,415,584,120,997,288,360,055,719,288,290,872,811,462,
329,989,291,146,286,776,530,465,377,281,468,827,122,030,972,431,737,677,869,
643,651,357,876,901,690,442,293,556,403,152,910,177,615,007,960,282,429,406,
139,689,250,695,071,519,187,138,774,945,561,519,276,092,824,366,085,950,652,
651,369,968,006,760,149,016,950,885,242,871,332,657,088,140,735,631,842,693,
425,055,142,098,114,043,759,421,707,290,001,303,073,026,404,670,453,912,014,
755,774,505,040,637,461,349,769,280,856,577,550,387,907,518,427,736,287,099,
435,773,543,069,498,569,458,581,909,385,120,106,627,109,848,364,847,969,114,
347,261,986,710,569,713,276,646,251,784,805,636,079,664,559,577,539,325,736,
591,715,937,747,600,981,990,310,570,062,410,376,143,615,578,660,031,822,068,
195,489,252,869,839,447,597,264,050,728,792,935,413,003,597,387,027,341,894,
821,833,209,057,207,544,186,832,922,391,231,824,394,726,545,351,237,578,716,
129,630,894,634,887,902,741,145,346,736,006,871,196,545,010,808,746,430,233,
633,910,541,685,504,536,607,263,900,484,620,217,107,332,760,378,750,736,773,
565,353,559,205,087,010,436,180,643,904,860,666,723,473,102,831,278,625,856,
317,997,283,431,530,898,693,678,036,548,002,491,659,670,752,396,007,398,346,
657,655,907,731,289,739,836,911,412,879,476,345,024,238,380,212,105,270,178,
629,667,737,059,438,360,844,739,027,689,719,393,898,642,786,490,695,505,979,
961,896,930,425,263,305,591,473,044,545,839,972,945,927,862,024,337,748,339,
910,050,660,117,004,691,553,980,423,349,567,189,332,415,662,163,460,358,133,
084,270,233,277,511,375,583,481,941,156,765,253,150,369,097,442,340,932,422,
821,529,629,924,178,969,514,298,468,567,061,217,197,425,509,832,199,479,767,
897,891,135,236,972,414,297,875,870,755,575,530,000,588,695,848,338,689,372,
035,306,757,297,756,295,001,748,115,742,007,527,501,551,925,708,193,195,583,
232,592,040,606,235,170,883,460,892,553,566,725,997,413,393,381,748,399,282,
521,174,142,416,235,375,000,314,797,963,401,093,306,257,156,907,578,535,169,
751,598,280,612,323,342,066,749,172,095,313,479,928,565,151,592,880,574,007,
618,106,314,414,612,100,338,305,899,157,875,336,426,525,369,638,449,211,564,
355,620,744,874,545,648,444,873,638,446,386,017,088,907,983,596,007,480,088,
383,648,337,580,607,248,413,731,423,586,049,096,772,137,252,999,541,372,659,
590,112,585,541,852,058,492,308,109,449,770,665,729,782,444,126,901,792,324,
536,025,472,979,254,277,370,868,404,465,411,033,073,191,844,034,726,042,603,
766,400,655,939,383,897,633,568,923,074,678,351,209,600,201,175,729,790,004,
437,099,098,931,570,664,113,221,060,234,914,800,441,608,556,040,316,761,283,
095,445,133,747,515,948,477,414,984,248,438,891,398,188,212,400,164,303,953,
443,236,727,473,957,106,331,736,249,744,882,381,187,546,777,002,009,955,980,
364,521,649,561,500,412,224,821,445,082,542,953,362,870,294,877,844,054,656,
696,131,703,266,377,781,738,086,798,711,245,483,214,709,331,072,928,727,239,
968,651,594,810,683,522,063,375,694,961,522,614,856,728,475,903,788,822,349,
255,848,457,035,692,253,237,958,504,813,699,231,215,236,899,787,570,531,774,
252,647,110,565,956,222,727,080,134,353,081,855,999,216,596,091,936,206,506,
052,674,846,821,176,181,131,295,879,714,606,501,452,684,866,182,001,941,086,
395,609,747,671,802,708,592,158,893,664,772,253,160,553,289,591,743,941,781,
308,523,828,661,049,021,845,029,933,291,989,303,636,803,198,361,592,004,448,
985,546,894,797,096,975,758,968,634,278,155,516,833,121,770,387,622,845,880,
087,796,096,683,466,170,924,121,139,540,083,273,028,885,016,110,868,273,768,
686,951,668,313,996,371,615,378,337,236,636,497,326,492,165,738,365,640,522,
011,269,959,406,413,597,633,026,834,569,507,549,043,171,574,709,197,643,162,
771,920,277,375,490,166,350,153,989,848,523,662,704,410,238,298,022,641,825,
364,560,923,776,912,756,291,073,819,577,330,511,773,374,506,966,422,927,950,
869,548,716,933,801,896,836,997,918,815,191,976,626,645,571,590,224,749,118,
155,342,115,689,985,579,486,324,534,456,655,252,128,122,167,139,478,954,463,
369,407,480,799,850,056,056,860,695,890,707,400,368,834,725,110,131,105,660,
718,671,564,156,056,386,933,361,947,743,964,093,218,463,077,508,882,346,713,
101,089,495,282,794,493,650,591,036,827,875,837,397,233,316,424,518,718,828,
014,935,571,940,726,523,296,222,417,968,369,312,800,471,652,250,077,421,109,
541,660,075,526,474,214,966,117,547,111,453,450,424,093,821,564,096,375,926,
253,069,226,778,468,214,391,643,467,897,698,642,217,599,925,825,149,745,995,
779,633,587,083,952,075,108,436,521,733,177,344,946,364,813,675,311,867,967,
871,027,591,773,643,056,223,880,970,955,328,720,573,070,051,991,406,994,459,
791,000,112,589,833,430,841,337,381,192,959,968,564,693,592,423,855,899,571,
068,157,183,920,650,181,804,702,757,260,022,111,842,486,545,725,917,337,751,
797,276,886,356,515,915,856,674,799,441,081,775,603,793,797,019,091,325,718,
860,114,637,697,136,172,523,140,090,166,928,665,417,394,418,265,023,707,065,
491,208,839,411,014,146,848,730,188,703,452,403,823,911,125,723,870,470,264,
540,617,543,354,501,246,331,869,311,914,372,886,350,996,097,826,181,120,341,
391,257,268,880,841,147,133,184,109,191,010,340,551,787,025,228,215,468,219,
448,538,751,691,633,550,060,763,406,774,880,965,045,698,697,489,720,898,637,
227,449,105,999,132,469,358,493,054,098,862,741,034,342,264,207,403,468,703,
791,071,209,925,863,719,638,476,997,560,626,190,633,011,892,988,582,298,690,
053,247,181,404,583,276,139,569,964,917,358,537,488,086,246,548,236,601,317,
463,592,480,106,600,461,386,313,535,746,856,955,688,488,560,289,471,262,148,
889,960,623,140,098,182,350,490,064,703,495,419,976,936,394,505,490,550,364,
248,781,961,897,782,250,883,756,740,712,044,262,910,950,786,693,025,220,638,
842,316,818,896,193,785,287,820,609,250,624,166,074,625,342,299,100,592,627,
372,235,676,139,185,439,726,442,774,393,154,321,646,521,030,174,622,327,927,
458,835,693,737,112,794,739,753,425,618,562,656,935,350,096,727,668,792,772,
295,839,599,691,320,180,422,631,720,447,126,634,494,204,055,412,911,327,274,
999,519,691,356,685,680,215,194,226,937,019,244,853,202,428,508,990,986,951,
134,025,077,310,110,839,442,496,617,596,313,437,363,380,676,881,250,320,391,
692,599,071,974,507,236,868,001,807,820,691,761,435,543,433,941,021,994,188,
492,788,782,941,645,675,465,091,666,942,628,993,629,973,339,372,262,495,029,
774,014,437,146,187,717,645,827,018,042,617,819,281,837,875,283,777,602,845,
739,335,679,898,403,222,515,506,737,475,647,219,659,582,308,288,542,393,337,
498,601,678,718,852,516,276,372,480,095,044,000,873,080,506,812,709,171,835,
961,329,759,639,025,046,544,991,001,767,835,785,338,726,414,674,799,752,179,
948,863,548,339,018,029,345,704,971,015,072,521,167,593,103,371,663,906,344,
581,878,800,301,223,128,906,378,254,356,736,715,061,613,517,304,269,994,928,
363,342,092,977,473,487,623,478,095,437,452,803,567,968,617,995,120,810,035,
803,879,654,211,567,392,689,419,247,983,495,573,692,679,934,791,623,956,976,
268,106,870,471,814,397,557,250,708,410,262,196,764,839,443,115,768,892,495,
727,160,132,055,042,781,809,871,752,176,104,771,473,619,876,787,029,810,928,
755,376,426,934,307,377,895,693,078,222,238,480,898,131,404,717,791,228,539,
771,508,858,117,154,662,468,982,650,238,069,825,199,282,374,286,705,006,946,
974,686,229,228,565,345,377,051,752,231,415,897,409,937,957,801,615,933,308,
168,571,832,658,125,176,098,828,806,902,231,516,524,855,324,686,660,427,676,
721,572,125,308,238,778,308,356,992,310,938,143,712,645,968,362,281,394,532,
478,460,049,731,110,476,759,427,866,067,967,971,260,858,102,818,536,885,335,
596,053,992,816,947,791,033,045,114,006,395,218,351,305,585,493,458,381,976,
367,942,354,425,315,887,029,433,363,682,567,621,576,184,514,406,801,073,666,
553,365,553,542,840,727,781,871,968,241,717,772,008,239,688,193,533,334,386,
794,610,399,206,950,280,223,141,724,363,120,557,626,231,624,153,648,169,081,
654,453,217,109,487,924,026,184,196,704,356,081,630,852,036,321,421,951,849,
653,980,129,665,123,978,333,274,030,359,011,416,783,089,774,796,224,619,519,
006,559,642,661,426,268,140,509,914,854,198,916,160,110,144,779,728,691,529,
047,413,375,080,354,393,201,477,447,039,429,614,497,488,998,798,334,732,085,
166,656,011,911,695,015,447,921,593,985,424,944,506,785,029,124,496,219,129,
726,950,473,461,014,736,678,007,121,003,302,367,533,287,067,768,958,787,417,
985,773,907,262,948,969,924,640,545,561,234,460,129,146,939,091,140,612,085,
823,090,209,450,815,972,700,819,143,952,899,420,607,508,566,336,320,502,497,
743,179,606,632,053,479,564,499,076,804,342,602,215,628,815,999,861,209,920,
909,063,850,552,422,454,073,449,456,254,473,859,582,705,075,041,837,643,986,
720,205,702,032,402,971,804,452,412,053,857,979,637,925,170,883,870,930,407,
143,636,542,718,548,403,500,137,092,315,942,717,573,293,919,686,677,299,625,
125,993,118,356,126,355,782,976,831,016,885,565,993,594,115,706,006,489,593,
090,760,606,713,789,904,970,570,711,075,157,295,925,347,192,355,984,897,278,
020,652,706,954,487,335,959,827,501,731,983,796,960,778,895,401,214,418,107,
697,278,128,334,500,478,633,520,669,517,803,289,319,190,146,566,562,646,087,
834,649,568,011,053,940,419,713,346,349,038,022,058,339,605,890,721,759,402,
961,709,676,030,622,022,488,611,995,288,417,004,719,406,097,145,707,515,205,
401,187,470,912,271,301,901,959,282,630,647,320,951,486,706,851,141,343,121,
443,623,155,064,714,244,378,978,374,249,948,272,693,518,981,410,382,374,778,
988,918,948,858,267,975,384,406,536,643,725,946,519,334,468,759,119,579,991,
619,061,026,914,353,742,959,343,810,945,229,667,268,002,281,050,147,233,804,
795,269,854,596,930,116,677,463,276,178,350,467,806,158,520,911,625,944,022,
309,546,545,581,958,421,041,689,173,874,664,952,977,888,437,426,920,733,835,
866,320,392,068,996,613,735,183,592,685,315,018,832,870,965,787,274,918,708,
921,528,363,281,333,519,582,376,106,629,050,334,575,872,635,139,434,959,492,
403,173,452,694,142,333,195,164,606,717,450,148,965,374,256,511,584,852,512,
274,738,539,919,162,157,171,983,483,205,014,861,853,852,684,869,749,026,811,
339,543,438,058,097,359,318,208,847,245,561,270,598,902,525,649,313,874,955,
585,271,508,265,217,589,514,305,660,809,819,785,897,947,372,143,109,153,292,
398,401,529,856,499,516,083,084,503,649,593,923,152,000,200,386,762,822,885,
576,728,498,000,077,827,991,925,315,815,592,150,647,565,004,121,726,578,702,
197,761,818,668,312,255,049,941,229,821,908,118,336,525,063,982,566,852,218,
663,346,976,278,635,058,875,261,617,326,268,420,576,692,845,037,251,824,966,
488,010,451,341,490,198,760,918,810,348,160,935,721,869,049,362,669,575,194,
161,662,695,657,697,968,884,256,638,940,859,591,416,211,231,924,499,529,746,
025,049,491,662,452,656,304,004,631,982,619,224,054,741,408,930,765,491,928,
112,094,737,159,127,808,959,165,845,418,708,412,305,199,088,861,818,089,726,
202,911,084,121,183,729,343,563,962,655,200,737,336,098,890,554,369,297,378,
367,795,225,279,157,393,561,528,251,544,023,465,077,258,166,451,524,531,031,
947,742,378,895,931,455,164,812,095,967,829,528,293,126,491,442,129,496,585,
399,058,591,217,287,821,951,623,406,154,613,664,747,798,754,941,082,971,055,
365,606,662,432,235,131,941,460,426,915,540,642,018,187,038,933,579,785,625,
162,513,267,118,296,077,522,578,665,195,429,135,594,665,370,274,162,877,616,
257,875,539,623,497,916,726,477,771,358,394,366,045,549,943,624,814,685,740,
838,138,193,267,589,589,337,710,552,344,343,203,250,411,090,462,971,784,142,
542,050,206,180,739,161,443,312,743,730,189,134,208,699,509,176,945,093,305,
465,428,893,992,305,682,732,400,725,024,688,632,302,392,938,561,119,910,476,
613,915,911,840,243,428,725,582,952,273,160,912,592,403,182,839,739,309,575,
674,115,212,111,772,033,539,283,826,612,008,303,534,072,323,841,541,358,123,
253,465,264,922,618,852,037,277,321,978,074,943,107,148,845,856,069,560,104,
244,112,706,422,410,401,011,171,524,183,526,883,856,317,000,761,955,031,970,
234,806,354,827,244,037,829,412,798,114,419,337,811,637,145,800,163,914,921,
601,774,415,472,178,498,376,472,872,087,959,190,783,678,305,634,849,533,150,
867,902,865,304,785,851,676,385,160,128,990,597,980,309,480,976,518,515,961,
307,386,376,421,475,181,162,696,182,649,609,139,837,634,149,475,889,338,616,
436,642,960,413,458,544,748,273,457,842,843,630,996,816,888,296,887,971,683,
588,271,171,296,208,908,998,802,365,047,824,381,134,049,592,245,234,022,000,
661,708,898,672,805,802,469,561,166,840,214,292,549,559,700,429,171,071,820,
703,508,941,094,581,031,122,869,365,121,372,291,627,298,392,156,102,025,593,
561,554,467,780,762,596,982,698,973,205,795,216,824,509,804,098,255,570,822,
723,502,821,180,136,299,642,363,888,322,649,282,773,095,944,697,277,330,737,
708,453,182,883,010,370,616,291,822,917,287,308,559,216,671,505,118,991,420,
569,353,782,065,810,874,424,938,859,343,765,612,632,557,851,826,460,145,495,
736,715,817,441,013,242,002,748,309,583,821,414,578,559,164,456,189,624,523,
163,344,212,617,953,219,847,529,497,866,937,642,614,427,330,869,025,265,304,
969,541,146,812,638,393,701,497,368,167,343,284,411,430,130,205,263,115,324,
645,396,309,720,056,047,660,042,785,464,522,987,947,435,211,534,696,585,027,
598,142,645,292,160,419,525,897,004,897,020,549,343,244,377,989,186,906,806,
431,924,818,314,271,679,331,754,715,407,413,018,452,686,090,450,223,425,138,
902,518,116,004,181,388,136,252,619,326,431,219,550,644,227,863,712,216,756,
881,150,775,465,597,398,770,663,572,840,446,459,356,129,334,734,334,386,617,
616,733,710,577,881,553,420,355,213,928,700,127,138,672,112,168,245,560,736,
033,221,088,087,459,791,391,528,966,158,076,798,528,122,210,754,557,317,787,
996,710,918,153,493,505,555,748,895,056,890,705,928,424,244,424,903,333,471,
197,474,665,618,754,054,035,817,295,766,034,294,318,145,722,621,652,691,947,
792,213,691,156,472,156,326,004,993,323,533,405,162,844,484,670,443,566,954,
432,087,389,797,561,141,948,428,904,472,060,608,006,670,065,632,959,913,993,
836,204,772,538,599,358,828,668,606,013,649,711,704,682,788,277,354,042,506,
103,982,951,539,503,591,104,171,556,772,314,796,387,520,358,705,476,402,664,
779,564,677,537,569,980,981,216,071,354,855,904,236,503,527,141,694,144,074,
818,388,311,713,183,018,475,174,360,529,088,246,999,444,307,986,359,975,870,
893,974,158,392,672,672,199,523,523,111,734,882,059,241,374,820,037,284,098,
600,316,073,447,131,416,600,787,511,615,458,230,526,790,341,810,485,421,971,
796,541,844,620,143,291,329,870,452,476,666,209,951,281,724,271,006,841,065,
085,478,836,885,082,171,039,318,506,878,619,034,352,563,561,110,324,866,888,
012,464,779,396,132,073,743,448,371,035,083,743,431,102,126,836,292,330,199,
587,902,895,012,898,611,798,869,892,100,915,971,561,318,159,451,212,169,929,
915,657,876,098,922,669,659,985,095,366,730,614,938,114,979,546,298,145,152,
631,842,726,362,691,013,748,798,577,660,797,991,907,996,803,805,594,358,662,
608,619,151,586,512,932,042,764,785,334,932,424,057,264,614,037,180,713,165,
327,041,654,608,898,209,710,289,116,299,793,412,352,263,625,981,030,015,828,
897,802,787,595,506,874,248,274,121,099,386,971,716,185,765,775,139,526,095,
896,205,730,830,943,559,046,536,748,463,033,483,444,888,638,097,695,059,191,
067,427,319,522,948,748,013,178,616,977,437,280,575,469,235,495,401,546,627,
411,870,760,816,017,546,285,342,332,568,650,455,166,194,829,086,070,818,923,
276,379,297,737,457,417,704,136,621,954,166,420,568,089,252,438,532,514,114,
053,271,682,811,562,083,349,324,619,458,287,724,109,985,570,810,176,984,112,
764,705,780,927,849,780,048,080,954,016,672,672,139,036,715,926,860,670,932,
564,731,514,670,785,574,817,324,534,595,409,730,138,799,797,976,479,807,645,
756,644,314,207,284,843,794,162,725,231,056,080,415,567,453,820,926,279,057,
961,637,761,292,470,662,543,971,246,979,537,721,722,302,744,020,853,981,554,
295,025,412,137,860,831,469,770,147,916,399,379,711,087,761,967,029,488,067,
148,702,934,977,182,501,853,823,836,819,618,337,705,524,500,714,720,897,698,
380,680,845,734,100,399,042,615,906,194,106,294,514,427,944,014,853,811,393,
815,007,876,620,392,246,777,312,112,656,777,216,512,286,623,072,753,216,462,
918,448,166,153,739,271,728,251,953,849,253,230,042,336,266,671,378,640,703,
685,999,952,808,341,451,172,012,326,452,475,132,271,191,924,532,479,688,287,
108,643,344,664,814,859,298,029,541,822,810,591,889,110,581,991,101,209,595,
261,725,277,805,038,742,363,678,840,384,751,025,433,869,373,005,271,831,367,
975,317,727,397,620,944,063,177,810,459,112,108,510,690,845,770,118,040,049,
837,504,756,065,869,988,765,756,901,715,402,273,712,510,712,334,329,577,036,
821,505,990,306,406,687,915,446,933,485,686,270,710,417,344,305,119,438,725,
502,099,712,032,352,361,830,116,477,304,483,438,093,817,546,565,297,218,590,
149,694,833,144,956,628,299,368,871,003,842,171,085,845,684,906,472,934,021,
248,397,450,860,602,366,954,110,718,744,472,278,425,673,620,386,279,436,016,
713,986,859,147,931,026,874,693,923,485,869,546,849,120,496,808,919,047,579,
375,115,134,268,846,602,535,777,712,372,621,294,254,409,644,815,846,183,613,
257,402,006,149,356,495,803,473,883,736,969,675,672,649,373,276,524,682,094,
901,190,499,749,583,750,079,410,243,415,676,208,919,828,069,617,992,621,810,
544,806,955,687,562,966,216,363,275,192,537,366,087,083,346,657,236,979,187,
664,933,365,657,590,461,829,725,310,760,613,439,822,627,906,718,195,088,533,
228,025,456,032,800,171,956,532,738,225,126,438,829,631,189,052,017,192,456,
388,984,686,549,787,406,977,427,895,542,078,789,984,201,871,839,537,583,934,
373,363,127,560,293,964,570,337,853,900,240,975,152,459,610,488,264,415,033,
836,898,177,561,428,477,371,508,966,507,352,543,002,197,807,359,287,266,036,
408,218,246,454,649,332,410,239,218,870,740,471,897,723,846,308,598,448,881,
882,060,332,080,685,530,170,089,757,612,043,218,845,665,439,600,499,564,586,
982,443,039,330,960,974,158,323,189,386,787,927,062,064,750,100,800,357,083,
056,814,359,802,348,713,354,448,360,316,135,019,181,461,689,675,186,363,464,
247,146,498,692,959,704,479,667,311,540,088,761,479,816,046,387,825,522,215,
100,623,451,276,382,975,336,477,118,371,978,891,739,325,938,149,761,817,112,
284,989,967,782,023,499,249,661,216,121,792,003,756,741,624,798,916,693,679,
632,081,623,176,064,786,226,813,119,054,299,208,039,236,183,132,233,587,550,
891,825,588,991,888,714,402,870,923,738,613,526,779,440,410,952,343,294,275,
987,650,543,988,976,236,144,437,134,344,707,283,235,173,697,907,930,459,602,
461,523,082,248,496,934,776,659,962,027,335,152,947,023,039,707,374,160,383,
944,318,572,998,286,752,171,755,197,072,517,911,896,419,953,473,258,165,175,
158,812,490,569,518,798,666,358,318,335,395,772,105,658,739,440,215,685,890,
045,055,097,489,140,211,893,603,577,992,958,667,130,343,664,826,651,458,261,
280,870,205,956,537,434,946,122,627,164,370,861,761,602,850,288,348,118,405,
308,734,868,001,956,082,486,150,828,928,968,465,147,108,721,859,932,349,075,
883,957,048,619,791,371,747,718,140,736,517,794,812,271,691,373,094,702,677,
436,134,511,674,062,242,344,616,538,344,340,132,971,614,879,179,436,436,627,
902,205,845,744,776,127,446,602,780,649,858,907,131,340,611,116,673,931,229,
732,346,932,174,258,075,198,709,209,657,684,086,776,185,157,914,464,754,243,
326,452,785,431,918,370,907,111,157,017,087,593,104,755,668,715,130,321,175,
675,900,234,040,124,822,343,442,804,746,534,252,595,018,451,901,622,227,805,
973,258,713,530,959,797,056,780,250,458,019,240,018,214,903,001,565,187,112,
885,324,419,181,773,289,599,546,038,383,886,802,730,884,879,829,066,519,318,
483,850,330,707,322,933,305,349,968,698,685,625,715,594,172,531,989,270,006,
054,378,635,380,323,203,537,060,249,210,613,720,219,066,811,430,027,642,845,
209,693,663,577,154,900,395,591,494,253,216,342,187,405,941,794,468,571,508,
063,720,137,023,767,579,838,091,442,161,122,146,391,505,325,891,708,335,955,
259,087,077,838,061,298,037,746,426,601,843,969,108,917,416,559,595,655,991,
774,593,282,419,192,874,023,910,259,384,026,755,532,177,735,381,296,455,974,
963,548,809,009,936,228,688,078,056,358,516,334,145,190,081,111,877,458,767,
823,238,944,621,019,470,751,341,957,817,495,937,955,012,212,255,657,242,121,
335,773,523,509,176,074,606,411,752,537,117,303,498,857,988,568,537,071,079,
235,048,204,509,183,676,513,854,225,865,782,164,629,484,359,206,934,050,675,
932,869,809,457,550,890,356,442,043,646,188,681,243,252,982,272,831,478,353,
546,841,815,784,151,874,195,339,524,943,746,512,339,137,482,827,059,507,401,
600,135,152,222,003,353,291,865,916,020,129,620,740,480,162,412,204,220,414,
242,098,773,007,364,844,099,809,650,597,936,134,616,106,149,355,063,262,733,
139,417,726,163,274,981,263,454,453,838,371,588,453,477,834,282,342,959,765,
703,707,886,389,701,049,500,974,383,080,596,090,534,586,092,535,055,206,392,
934,557,586,942,817,701,462,072,713,849,725,968,576,141,372,728,750,598,614,
252,060,531,677,076,282,484,680,364,082,245,662,701,356,288,510,205,657,871,
303,718,571,480,238,990,939,087,909,309,114,384,527,928,121,302,306,691,153,
626,513,855,191,988,275,604,816,794,719,248,755,873,110,371,400,326,014,295,
525,841,333,825,733,264,479,749,147,450,116,563,881,254,840,493,602,172,266,
229,245,882,039,351,003,835,910,319,162,813,219,193,847,637,610,755,409,279,
167,892,680,525,971,025,931,766,125,363,022,205,480,768,489,590,984,294,538,
439,848,672,524,335,463,388,340,389,012,815,075,112,419,907,444,345,988,752,
217,516,948,691,390,598,752,871,102,275,083,598,715,405,471,500,664,976,929,
831,254,935,658,967,974,422,391,477,408,046,195,367,611,617,156,617,274,635,
166,473,512,274,503,844,506,181,655,103,119,927,411,182,234,408,687,422,854,
453,868,909,616,436,783,744,238,025,747,660,394,561,215,927,944,153,296,776,
705,713,708,486,167,657,787,490,296,294,931,885,509,098,381,910,807,720,946,
228,461,722,177,688,729,782,033,968,747,236,576,834,023,722,306,228,444,219,
682,892,820,734,461,531,402,927,266,522,385,360,733,438,185,369,862,435,307,
346,773,206,407,271,179,285,593,560,664,705,142,225,682,983,348,760,885,029,
159,318,015,319,299,104,661,524,619,266,755,033,178,626,935,313,123,367,575,
503,605,484,274,918,148,806,588,095,795,661,063,568,617,176,582,428,768,123,
295,907,139,985,073,208,705,739,381,318,499,999,053,488,271,885,953,816,840,
232,524,236,926,020,878,025,235,138,007,852,102,737,406,372,125,135,485,900,
091,179,651,113,165,405,812,137,186,382,138,834,990,571,380,122,826,629,016,
622,566,249,578,412,341,926,675,256,660,682,367,209,775,922,934,794,037,848,
886,611,114,112,871,369,036,098,374,474,141,949,293,997,272,892,356,985,959,
373,707,972,993,160,174,003,010,126,868,624,409,270,710,423,809,844,451,617,
235,911,753,604,249,124,297,707,638,516,594,046,413,263,328,529,607,417,454,
571,296,686,268,814,522,124,323,532,286,662,155,472,432,162,850,483,498,631,
621,597,961,092,473,566,642,193,267,696,871,254,820,125,945,606,798,586,912,
545,264,735,723,408,414,655,456,296,912,325,844,430,675,410,516,305,345,336,
717,527,335,705,483,960,371,074,799,328,785,603,547,670,043,080,038,425,124,
270,822,077,948,936,519,977,244,668,902,959,279,505,933,478,765,141,546,446,
055,698,924,130,752,736,881,736,507,211,019,630,357,630,394,408,554,995,409,
274,567,048,277,018,639,357,382,421,946,125,425,115,098,230,531,979,184,826,
511,980,341,451,052,984,615,648,255,831,318,928,165,979,395,330,650,183,058,
104,655,301,357,565,408,709,647,970,249,731,071,082,980,871,916,420,388,145,
200,528,493,547,816,112,074,332,339,952,072,249,065,308,111,063,068,191,748,
774,618,986,196,005,604,995,478,337,119,698,602,870,688,981,891,851,337,033,
863,097,146,595,482,064,366,240,506,105,307,896,371,330,218,965,445,063,332,
749,782,234,431,077,075,658,148,473,807,983,354,594,451,250,028,960,434,754,
741,096,078,753,121,731,982,777,477,062,639,810,274,820,239,564,132,232,271,
046,551,144,902,820,606,034,756,762,680,537,298,320,126,913,865,417,188,304,
290,880,932,900,209,213,775,411,969,862,186,813,471,368,798,543,512,873,883,
377,421,234,428,385,395,319,984,838,911,311,997,431,529,164,938,594,916,857,
382,398,535,992,276,980,465,586,537,267,430,637,392,723,237,243,799,339,030,
433,806,912,870,679,565,358,510,672,333,867,343,519,071,824,637,043,139,674,
995,083,958,785,014,001,772,007,678,302,677,913,235,480,567,490,854,262,301,
478,932,964,249,171,013,555,782,235,253,997,761,582,445,074,682,887,756,679,
787,598,652,134,024,131,571,876,048,624,216,143,953,989,293,601,471,830,928,
863,120,841,651,845,581,221,462,855,749,114,385,962,003,301,233,398,193,197,
700,394,071,306,251,330,247,107,977,987,704,419,327,064,690,876,938,131,111,
781,129,709,827,472,214,580,533,104,470,008,073,926,179,626,141,751,430,573,
832,655,559,986,730,205,211,686,929,170,289,440,744,999,432,576,575,136,856,
830,346,051,392,022,403,707,167,737,323,649,418,876,338,483,844,075,280,758,
737,713,301,056,696,172,996,017,114,755,603,609,742,265,332,006,448,791,385,
740,270,083,490,582,789,866,213,881,607,019,243,548,570,602,121,049,217,844,
416,173,006,068,340,332,931,959,117,552,330,912,958,091,204,229,008,165,261,
990,374,383,940,826,816,061,959,284,865,521,871,685,433,712,569,401,931,272,
840,842,295,962,003,358,777,378,172,965,021,007,092,323,649,803,778,631,453,
081,176,439,048,989,369,705,555,680,393,289,793,579,114,857,437,515,374,659,
998,540,811,875,693,730,504,933,784,762,673,594,650,523,803,926,664,682,174,
680,446,938,614,007,725,678,154,727,558,662,811,846,420,267,357,850,620,775,
611,621,172,486,671,094,227,383,453,481,497,769,153,258,796,902,001,089,390,
657,328,997,224,670,354,969,018,239,089,732,243,895,866,559,409,856,623,678,
676,349,416,638,961,116,742,954,534,613,306,268,196,566,507,517,638,001,262,
926,700,331,206,013,505,964,373,608,284,077,050,468,845,791,379,318,818,119,
800,590,073,041,760,029,995,844,802,120,695,537,899,200,590,178,753,122,527,
535,127,370,653,845,586,408,068,517,295,506,672,865,969,973,797,749,513,687,
768,248,579,637,831,172,698,101,386,265,613,028,189,473,511,805,567,024,858,
979,044,743,589,663,383,770,793,884,925,478,258,622,242,752,792,715,067,715,
492,582,144,129,530,821,529,497,801,940,419,499,560,922,659,939,527,228,235,
612,993,686,902,389,290,024,969,558,577,037,941,834,322,844,783,970,211,611,
799,085,320,761,284,823,140,045,783,730,826,138,799,608,290,225,469,281,229,
645,494,563,351,937,878,758,089,691,937,698,071,347,679,596,995,596,318,416,
299,695,594,460,671,298,465,917,789,029,317,321,948,242,638,088,684,761,837,
831,756,518,251,491,443,304,282,900,543,332,881,668,714,832,997,403,935,317,
767,240,130,989,611,189,234,275,607,816,216,340,051,056,189,276,759,235,721,
325,797,148,046,255,671,228,436,889,606,290,587,966,854,214,026,799,323,592,
152,217,927,474,963,688,935,080,021,171,504,932,535,564,983,108,611,894,617,
383,723,366,406,875,303,647,523,105,175,444,323,809,398,147,017,513,375,014,
036,558,888,767,018,790,299,772,900,400,517,204,749,792,136,234,905,311,950,
290,570,705,106,124,807,504,784,013,873,062,353,129,358,631,891,037,932,647,
282,717,042,750,459,164,308,789,518,501,185,324,613,057,100,323,292,602,349,
549,291,012,670,870,551,410,448,699,705,158,290,228,768,083,080,524,676,083,
657,458,830,126,183,253,986,261,631,462,090,618,238,119,577,006,667,554,719,
665,890,032,229,353,482,513,590,621,612,866,124,449,913,670,564,159,999,759,
953,685,819,715,718,207,781,397,309,702,345,743,728,659,159,960,568,810,032,
434,477,503,516,511,562,541,179,168,160,619,029,797,911,156,796,892,970,135,
360,048,293,331,316,920,502,292,027,861,008,001,152,310,828,631,995,301,541,
340,160,760,464,038,019,971,997,972,088,078,351,003,316,093,411,027,649,694,
251,148,472,270,394,532,620,176,107,941,763,725,160,063,527,516,500,102,920,
664,098,976,022,517,201,343,108,485,221,512,192,068,678,116,121,544,636,673,
430,413,922,853,688,537,778,630,010,822,578,972,059,213,921,205,854,020,395,
539,869,712,497,066,070,017,981,658,613,987,781,457,165,672,104,093,320,681,
809,866,807,667,098,407,075,526,789,535,281,584,032,811,790,884,133,744,943,
096,598,955,751,920,999,183,266,733,589,083,618,599,638,342,735,222,404,517,
304,850,934,250,672,883,762,943,222,029,207,965,454,901,076,523,820,324,023,
884,675,668,489,471,289,438,587,477,905,620,885,378,938,219,347,727,532,931,
587,534,249,575,566,903,709,698,404,918,936,196,515,307,135,665,191,525,771,
710,399,026,523,227,382,121,099,857,078,852,497,491,216,109,411,275,176,198,
163,500,208,297,945,468,735,022,291,050,581,802,248,112,091,822,055,836,498,
711,595,303,979,188,524,490,598,343,146,437,014,625,645,483,597,210,102,746,
567,168,866,589,814,404,401,948,732,997,578,653,658,154,146,852,123,621,909,
690,027,628,574,574,224,631,754,641,658,705,745,726,333,897,144,396,273,247,
525,079,604,741,538,760,174,819,881,178,832,361,069,167,069,612,003,967,546,
952,790,164,972,200,795,934,794,916,437,984,545,560,920,166,618,183,106,111,
491,391,079,968,661,231,941,709,439,250,688,914,405,086,434,565,128,485,337,
603,212,729,959,184,360,417,703,395,023,316,677,995,148,486,405,674,692,002,
443,915,418,954,260,547,374,509,960,309,583,810,992,008,894,333,340,291,300,
497,655,505,000,674,379,313,929,128,884,513,946,123,060,007,319,579,671,100,
006,597,170,362,343,858,921,256,832,036,505,001,655,842,300,892,376,999,334,
353,136,576,353,107,091,431,047,371,191,913,254,518,660,649,100,901,773,110,
456,743,737,332,978,482,472,031,815,777,541,975,025,570,016,713,322,219,270,
817,494,165,216,108,675,152,429,844,429,455,143,099,688,771,567,679,619,680,
542,057,670,237,102,525,749,014,038,236,937,409,952,479,417,622,422,284,338,
262,624,859,719,084,910,201,391,997,036,582,984,049,072,966,369,747,441,895,
930,896,531,372,954,304,900,351,955,673,158,902,948,185,733,396,569,228,362,
988,168,321,860,240,614,988,384,737,721,164,278,846,141,927,874,261,961,794,
569,399,428,384,465,403,592,156,613,059,123,880,432,874,354,979,774,236,031,
932,697,376,508,963,989,344,779,893,703,894,557,471,837,800,402,360,386,042,
668,833,063,944,431,179,889,521,555,504,122,179,243,580,676,837,273,316,013,
289,989,703,250,962,021,385,486,100,899,602,765,802,559,505,916,519,725,911,
914,849,963,280,331,645,787,115,155,654,454,097,907,787,136,151,693,738,081,
660,495,970,022,282,341,864,250,879,700,900,398,742,879,683,710,129,033,580,
651,057,791,671,175,463,932,254,993,306,486,775,455,943,665,991,674,164,550,
523,804,648,654,546,886,702,060,136,688,430,030,627,676,407,650,545,078,004,
444,484,515,662,673,231,124,565,356,984,418,343,633,922,170,406,348,534,026,
572,325,812,120,226,541,509,964,333,054,333,838,364,709,173,345,116,980,477,
771,526,493,749,276,883,832,429,179,695,168,291,853,269,394,147,439,205,178,
074,207,827,889,548,764,294,031,405,161,289,931,415,315,582,690,654,822,201,
337,051,885,036,048,150,329,571,168,748,072,074,179,411,423,436,311,782,955,
217,132,910,546,129,687,807,659,199,439,235,692,546,069,025,515,730,997,958,
058,953,324,411,159,310,843,401,767,809,053,589,375,392,185,844,972,720,782,
484,598,500,495,004,926,833,790,261,761,005,870,611,635,159,532,190,709,389,
610,708,748,344,826,193,751,094,435,828,931,139,189,935,772,597,982,726,395,
069,964,030,320,514,832,096,712,516,496,742,551,630,083,728,464,423,288,973,
380,534,644,980,302,383,084,653,565,395,382,735,054,304,651,666,098,430,266,
222,628,824,779,938,571,505,391,218,814,996,124,433,618,243,894,551,741,532,
225,952,519,773,505,256,097,022,245,325,560,225,120,629,470,364,645,785,762,
311,029,781,546,239,531,134,268,752,607,333,817,860,523,440,123,053,496,360,
277,126,160,967,018,058,474,035,768,954,044,015,092,791,072,578,909,906,985,
442,490,831,741,474,147,506,849,669,898,684,249,491,611,174,764,019,573,559,
536,368,247,168,517,037,358,838,281,342,945,077,532,278,190,872,752,310,572,
005,282,115,484,516,551,391,127,203,048,987,499,428,504,941,798,792,050,663,
557,657,134,129,115,298,055,626,709,265,920,288,597,136,023,664,935,585,002,
693,275,860,600,254,641,625,368,802,891,519,908,605,244,988,432,479,029,753,
948,788,867,476,358,939,728,211,674,387,777,130,673,546,557,135,012,607,938,
137,127,201,049,228,763,344,829,086,247,124,961,226,411,120,948,002,864,389,
429,674,618,997,680,678,057,873,711,472,398,768,633,668,161,949,440,592,056,
669,682,385,928,597,567,463,125,716,153,195,691,234,573,745,353,082,754,431,
030,179,891,352,932,701,402,754,345,013,644,633,236,600,250,236,613,653,277,
148,884,248,409,251,788,850,226,847,072,101,815,155,419,435,351,539,183,267,
147,290,209,868,816,766,106,270,012,302,261,626,927,413,700,058,928,333,011,
419,618,357,048,010,725,050,652,691,271,667,706,327,557,552,874,249,294,070,
038,049,932,745,103,682,147,118,628,409,732,173,583,060,675,768,958,474,903,
054,419,682,476,224,813,405,624,640,117,576,022,692,273,224,332,410,589,249,
178,397,405,921,515,871,119,413,416,195,754,914,734,596,568,345,655,569,132,
688,566,990,226,214,918,534,931,835,711,669,770,248,401,045,631,751,859,486,
409,861,963,771,922,308,866,668,948,554,310,166,315,326,911,306,748,527,233,
202,968,525,086,260,068,892,478,283,595,454,984,330,375,679,584,553,624,595,
923,879,808,003,799,296,253,398,691,773,549,827,834,668,512,806,452,932,761,
316,918,164,633,824,573,776,676,779,778,634,452,092,247,651,788,203,520,174,
908,792,954,639,612,471,641,419,297,232,399,454,743,099,435,378,942,925,754,
453,688,481,898,311,291,299,573,752,575,102,901,793,989,599,101,783,630,119,
072,114,233,334,542,810,693,081,539,424,273,327,344,986,753,712,821,825,949,
760,160,485,769,188,652,040,951,228,780,102,447,193,012,779,526,397,908,959,
252,351,499,184,929,946,740,126,759,744,391,297,068,367,202,119,821,083,651,
164,982,993,250,975,482,737,215,762,465,333,428,666,640,527,852,444,838,882,
777,616,168,763,236,244,874,083,371,524,900,588,347,599,473,899,257,907,895,
674,214,659,383,488,762,229,634,576,270,222,341,091,902,469,899,078,892,892,
132,108,604,143,809,591,121,331,321,079,186,073,210,196,917,429,725,899,364,
329,688,961,265,316,891,288,330,357,513,432,579,067,243,235,972,373,058,995,
702,136,838,859,424,478,227,533,782,347,533,044,310,456,605,822,412,474,622,
259,384,567,273,586,862,496,445,846,795,103,475,242,475,011,405,458,254,491,
228,298,197,598,084,324,093,045,489,084,223,666,467,159,507,322,507,879,048,
592,745,061,246,174,243,759,005,005,502,935,559,909,635,034,606,445,353,201,
594,490,150,298,388,165,348,892,994,469,498,189,476,888,377,578,182,622,275,
160,075,499,421,313,156,936,000,409,745,449,105,595,929,224,500,075,128,754,
916,797,981,580,149,727,729,569,966,770,904,105,568,255,070,354,275,316,150,
855,035,764,152,392,961,093,207,040,569,925,462,510,410,748,372,018,753,711,
446,243,512,562,322,759,555,428,464,166,799,930,212,581,384,752,129,122,040,
747,998,905,742,501,428,531,330,252,317,474,619,635,302,171,314,833,331,989,
673,206,304,504,566,869,397,189,033,246,280,001,209,795,091,566,288,597,985,
334,729,462,152,423,374,721,348,056,350,423,080,221,081,642,738,200,772,442,
082,683,236,301,942,961,935,931,311,200,300,033,768,142,898,680,975,529,285,
872,991,208,035,423,653,678,275,721,908,342,195,647,624,934,581,426,567,330,
269,603,546,805,029,261,926,299,301,718,949,659,953,593,539,856,547,088,829,
894,862,203,864,491,251,841,899,464,130,813,482,055,011,154,580,459,929,418,
045,260,355,000,998,340,511,601,990,436,041,729,750,074,650,903,622,904,046,
139,769,380,312,748,885,460,389,845,180,393,117,414,967,989,763,765,105,131,
556,855,545,123,531,685,183,047,693,361,503,974,447,450,294,597,497,808,191,
282,070,125,260,930,393,303,985,286,263,139,458,681,818,365,684,381,691,199,
023,552,830,794,366,290,852,965,867,947,645,546,338,652,668,141,985,447,811,
625,717,639,640,958,343,282,875,531,683,589,081,580,844,691,655,077,034,147,
582,762,538,287,990,971,277,752,240,966,144,222,340,131,618,577,623,599,621,
506,833,052,014,513,458,275,483,684,461,557,559,072,255,075,109,932,346,942,
416,113,185,233,982,671,870,340,334,226,175,979,578,716,038,456,590,535,453,
426,519,513,203,694,063,178,055,423,691,113,125,466,666,236,767,787,618,210,
913,688,887,478,854,992,642,277,224,419,783,010,896,687,150,743,957,952,487,
083,358,764,405,178,134,386,757,173,635,367,310,982,816,281,162,007,810,192,
534,576,922,378,297,082,943,213,130,649,800,021,167,210,459,679,595,002,096,
637,429,368,132,679,341,980,267,673,317,929,376,991,441,793,657,182,620,504,
848,736,946,053,780,968,363,447,255,593,909,265,720,756,559,537,201,091,600,
965,087,868,970,655,142,158,861,445,512,442,921,854,389,094,072,121,606,995,
005,216,107,297,967,590,278,737,538,752,238,319,842,417,030,556,224,870,150,
060,888,974,292,186,253,879,632,624,340,242,412,444,327,680,296,239,268,759,
114,125,741,953,391,647,374,240,123,513,153,112,272,584,640,863,665,068,749,
137,654,618,654,973,748,326,238,904,158,504,458,410,453,429,577,849,069,439,
120,530,798,904,246,277,493,154,192,868,910,784,101,167,801,524,662,464,202,
347,743,495,318,746,081,057,778,058,431,201,152,247,341,755,040,323,750,313,
710,613,775,573,082,836,042,516,065,286,901,007,149,176,198,379,113,349,052,
757,770,493,080,773,508,765,266,507,908,667,696,889,363,951,007,074,744,244,
190,292,555,336,345,501,076,871,689,069,967,050,663,523,477,191,108,191,054,
056,138,337,237,952,348,654,421,960,192,916,185,299,259,571,315,351,458,635,
318,374,915,163,231,320,461,380,378,131,296,295,748,341,931,366,079,156,555,
522,344,544,778,624,026,588,359,027,756,400,687,490,613,950,628,847,466,226,
134,965,182,721,238,744,633,489,201,768,568,677,582,948,358,322,059,403,186,
554,488,268,525,833,552,951,316,391,881,250,088,779,750,407,742,963,832,734,
570,887,915,035,677,333,134,532,815,796,962,265,540,534,345,246,607,766,030,
335,124,039,593,423,011,602,028,026,245,075,311,788,711,567,729,678,406,084,
929,706,883,416,713,581,981,986,812,902,745,786,430,234,323,613,949,717,720,
709,151,329,410,997,222,446,210,383,632,044,502,743,866,142,482,390,854,235,
896,925,463,752,410,427,578,832,199,049,328,764,561,424,289,078,363,357,694,
525,975,592,865,551,582,433,989,694,513,397,709,815,490,367,031,753,292,998,
272,831,687,913,639,688,657,145,541,287,671,365,058,075,524,831,236,035,850,
857,201,556,093,450,337,781,235,455,701,624,976,870,613,640,384,919,817,432,
882,159,897,189,046,918,342,303,222,028,482,469,428,478,224,498,061,940,214,
164,332,223,357,843,545,820,554,236,977,211,130,078,210,170,982,646,380,293,
801,182,457,562,408,033,109,380,736,743,777,576,364,494,080,573,143,446,303,
801,163,146,596,552,499,364,479,961,660,952,494,256,810,505,418,832,319,065,
289,743,245,383,489,243,441,288,058,365,261,612,351,592,201,263,579,408,196,
369,640,794,985,509,559,081,708,130,632,319,718,456,776,180,723,079,429,849,
725,077,525,456,010,882,153,900,797,387,893,978,558,048,483,774,734,983,675,
665,077,885,143,852,633,312,018,598,218,318,595,514,690,116,206,353,928,296,
848,447,094,710,000,282,328,358,149,366,808,815,599,539,604,929,425,686,123,
486,824,547,529,026,429,488,060,932,182,099,657,296,305,193,762,301,281,374,
093,328,258,588,818,588,291,129,121,117,165,397,261,130,262,431,752,036,957,
519,131,043,039,935,951,176,224,402,784,772,951,735,805,922,879,184,605,332,
170,050,407,877,806,031,157,878,841,049,739,151,722,199,934,041,478,994,126,
787,829,588,463,009,093,653,543,265,876,099,847,978,159,148,623,271,499,143,
888,190,197,065,879,973,037,046,586,524,505,959,800,241,104,294,627,894,285,
573,209,845,841,592,487,035,565,019,349,596,614,086,057,126,267,338,855,208,
663,444,292,468,538,725,340,896,586,345,463,514,389,627,194,652,961,309,114,
861,470,028,537,546,951,188,727,566,602,659,779,442,618,072,468,051,197,920,
471,910,070,136,646,080,957,131,616,461,103,193,910,711,337,381,185,322,581,
802,253,723,720,182,943,124,876,285,482,303,093,882,321,663,260,426,745,931,
870,518,255,635,030,105,142,855,470,324,617,346,901,767,884,679,842,420,602,
827,373,039,390,498,048,007,848,413,373,757,003,712,238,041,405,363,878,079,
595,921,795,743,993,585,659,399,922,801,142,625,112,493,766,911,022,545,127,
164,518,889,072,557,538,916,473,370,778,777,589,939,481,892,783,654,381,715,
288,773,297,417,866,570,094,635,165,935,441,217,495,879,373,312,719,797,102,
918,189,026,882,646,792,130,662,521,229,037,943,847,864,493,347,348,780,450,
085,864,449,283,022,576,108,330,402,172,093,284,174,204,122,120,240,167,344,
927,107,414,303,922,122,653,054,182,677,875,520,288,668,327,597,639,564,667,
398,322,761,323,958,636,513,149,431,437,367,850,629,788,313,599,719,490,250,
065,183,692,632,458,924,301,182,174,219,172,829,245,198,302,066,266,164,430,
807,268,308,720,036,356,389,828,569,757,584,930,150,727,065,945,878,783,912,
420,080,523,145,752,126,025,784,045,724,321,731,724,743,182,871,699,448,230,
154,998,038,473,600,042,749,410,376,067,039,240,948,584,001,055,233,094,207,
078,681,335,819,495,563,469,151,955,235,939,570,104,045,432,835,539,751,820,
374,541,329,428,914,075,920,583,995,355,186,956,629,395,181,418,618,007,214,
462,895,032,702,429,037,519,798,838,732,477,411,998,768,240,652,975,705,641,
535,535,678,248,795,543,517,485,912,251,428,469,229,019,369,419,473,888,444,
324,971,836,767,505,278,579,788,789,090,063,374,116,876,584,376,549,852,911,
369,797,290,705,279,837,887,918,795,982,293,370,988,847,521,962,954,002,705,
851,649,048,571,230,539,756,221,035,656,079,555,244,938,906,267,438,140,655,
974,943,544,690,181,363,120,372,329,170,155,917,439,538,286,246,993,086,766,
962,675,746,161,276,508,341,072,984,541,415,172,428,764,556,172,684,066,060,
439,509,732,960,659,024,189,032,688,743,325,517,720,154,918,055,167,891,469,
196,822,976,695,435,674,670,156,823,741,595,680,848,151,733,550,222,588,106,
055,875,799,799,711,826,287,984,671,860,262,185,998,679,079,990,176,153,478,
901,307,681,508,992,653,086,269,654,379,891,780,430,278,528,143,869,823,932,
939,804,656,367,447,368,309,532,650,943,028,005,498,747,742,896,230,268,662,
031,812,798,568,834,939,779,805,306,486,387,492,050,246,898,805,886,049,088,
543,736,986,659,842,169,071,446,473,229,364,480,751,429,519,937,498,318,556,
648,212,359,016,995,537,642,098,771,052,875,428,545,467,992,522,591,186,384,
493,555,998,462,483,346,958,663,589,392,093,435,417,545,416,481,374,353,016,
016,430,871,634,745,184,155,124,571,090,487,452,097,797,551,553,115,828,803,
708,167,347,740,088,425,139,451,390,492,637,569,933,396,936,562,824,079,589,
604,327,418,092,370,688,702,812,037,746,086,847,398,935,649,793,694,441,504,
542,007,053,954,821,125,270,520,514,866,236,709,644,075,631,695,144,318,956,
631,283,895,375,064,986,015,167,844,011,622,523,511,703,836,862,150,386,266,
720,761,775,500,062,769,583,275,026,469,762,638,528,598,564,739,690,043,073,
898,029,501,904,870,912,287,656,667,603,236,042,502,808,913,746,173,249,403,
342,457,977,291,721,114,797,222,095,993,746,947,498,116,468,158,956,272,005,
224,748,014,106,323,639,448,044,914,702,853,559,974,422,143,113,303,649,615,
060,493,348,604,331,863,351,870,610,638,078,128,041,096,609,330,343,119,018,
750,231,350,517,972,062,807,047,774,330,394,550,149,447,909,689,197,189,300,
774,766,371,774,051,744,352,300,599,832,082,510,539,820,676,791,425,282,588,
367,648,685,018,226,713,570,745,620,848,262,923,685,360,361,289,024,598,786,
588,862,282,611,844,446,914,248,169,005,656,607,135,254,920,646,920,896,179,
779,862,958,174,773,148,138,202,828,954,061,033,023,524,466,947,890,563,945,
890,820,381,145,059,589,942,183,314,745,311,903,858,655,341,579,736,484,689,
067,898,276,731,082,865,409,428,055,717,223,571,746,333,849,916,116,980,995,
722,722,015,555,347,791,014,347,210,006,492,459,966,794,744,871,702,637,029,
774,116,182,754,230,080,911,507,128,097,732,241,877,700,534,025,773,348,053,
312,014,933,317,813,492,066,296,669,148,698,536,768,500,987,056,583,144,537,
743,524,677,592,905,462,181,443,682,404,349,174,147,085,681,617,188,662,106,
271,072,719,729,908,912,484,815,043,779,879,142,012,592,328,118,871,290,666,
834,996,088,602,263,290,351,801,087,937,177,100,321,312,252,188,193,857,724,
028,974,923,715,567,784,280,521,143,896,916,338,422,018,302,860,316,180,910,
651,745,176,325,578,528,110,597,082,637,683,575,037,295,346,299,373,094,748,
820,506,064,720,261,650,772,876,639,509,873,679,667,331,384,198,630,056,541,
214,342,329,407,311,694,079,788,240,811,198,469,653,111,873,796,354,755,564,
007,344,714,771,442,838,733,137,127,593,996,541,109,585,689,342,514,472,116,
414,670,710,806,340,710,043,000,667,499,829,946,098,987,058,811,906,274,476,
206,141,706,729,396,234,611,805,704,055,535,641,541,372,547,737,468,438,074,
349,310,356,188,017,577,126,895,749,196,992,384,439,849,237,249,017,517,067,
142,557,356,442,699,777,221,226,039,033,479,908,004,063,381,967,276,474,789,
106,681,784,778,706,577,348,379,637,374,577,422,134,540,300,037,730,681,298,
991,637,372,412,039,937,074,086,688,064,993,890,719,676,471,806,025,884,711,
060,340,734,813,992,473,013,077,685,222,570,984,554,845,972,484,452,289,373,
427,529,141,676,069,112,106,254,464,724,911,880,864,678,154,901,955,212,309,
007,500,168,692,892,757,037,418,868,523,808,982,158,818,495,482,904,368,943,
678,590,763,510,642,152,999,828,604,607,809,220,935,269,392,251,726,319,510,
951,203,827,460,358,848,616,982,060,607,191,940,153,139,371,819,407,739,412,
383,918,018,441,147,422,435,046,030,285,344,666,044,435,740,406,772,468,532,
332,739,627,016,669,389,330,464,081,350,259,776,461,991,455,604,196,734,517,
639,163,653,361,121,716,051,919,969,584,621,426,663,473,246,795,276,798,205,
268,244,723,820,813,997,032,680,533,788,617,721,349,921,167,166,156,016,518,
064,618,931,779,117,283,824,146,356,177,214,271,935,641,189,483,960,221,141,
056,211,930,271,955,748,161,727,323,111,035,723,283,697,365,531,120,516,279,
337,883,910,345,346,291,120,726,696,411,894,020,505,900,391,494,887,983,902,
024,808,267,032,446,361,296,920,162,700,856,578,368,228,285,284,887,545,405,
024,067,131,588,089,653,757,943,941,974,903,060,296,653,472,047,513,479,673,
885,331,284,022,352,286,087,557,873,996,458,214,416,889,459,519,983,706,606,
890,756,395,872,978,296,936,529,554,788,431,501,885,483,648,963,020,509,337,
828,752,204,287,917,853,940,592,320,868,681,205,203,057,069,607,005,110,189,
775,819,748,689,488,872,174,607,269,384,811,341,063,374,497,792,821,518,975,
776,326,374,878,628,899,579,813,889,264,832,153,576,497,099,980,760,849,161,
095,415,063,951,454,318,024,014,940,352,389,623,732,363,787,977,141,982,810,
988,158,152,738,621,907,690,937,636,663,179,395,912,274,299,112,282,044,595,
432,596,703,863,038,193,569,697,795,320,903,398,881,329,941,910,926,623,799,
562,376,186,108,458,958,330,006,983,447,989,544,749,987,306,764,685,505,753,
147,291,343,739,690,856,158,230,148,466,284,864,079,530,146,317,592,341,948,
390,405,793,886,238,751,844,556,425,221,623,600,985,730,074,329,750,452,415,
183,825,755,949,447,490,015,100,843,937,176,107,271,985,088,752,373,421,696,
024,572,569,104,730,069,408,586,146,050,643,175,482,655,666,829,735,784,581,
157,667,130,892,195,566,752,637,347,841,255,791,261,155,159,010,579,986,279,
968,293,125,271,071,516,864,767,298,007,800,169,582,374,105,434,304,246,790,
266,498,965,915,924,044,335,662,908,057,010,636,632,977,253,636,060,435,028,
125,368,684,483,323,204,549,915,935,744,052,765,348,957,871,816,953,508,653,
492,978,224,029,025,729,304,256,488,606,563,173,751,428,614,972,858,812,844,
875,810,514,497,918,226,441,832,653,019,626,608,532,534,541,420,375,034,170,
280,012,165,817,436,912,406,102,839,298,747,326,036,785,509,430,217,761,544,
632,321,047,051,651,850,955,917,931,250,303,705,463,456,652,456,220,065,477,
030,351,028,169,334,543,433,809,031,958,799,368,725,184,032,629,885,965,200,
581,927,536,825,864,991,366,105,360,380,048,534,140,628,973,826,106,655,066,
098,069,270,704,613,806,465,643,088,076,710,299,659,195,327,462,756,960,052,
721,760,524,042,283,209,297,542,832,135,274,450,996,960,585,099,298,289,113,
382,478,919,749,114,237,190,763,607,698,938,546,683,181,067,238,175,003,532,
536,457,000,426,050,894,935,688,138,621,100,358,190,726,068,473,866,085,705,
474,608,183,088,797,088,364,221,468,781,728,430,090,407,287,040,742,696,302,
316,132,291,949,128,429,931,973,537,546,033,162,606,694,350,835,218,538,583,
464,826,314,035,213,816,466,820,621,002,388,952,840,854,166,967,182,674,751,
453,951,548,390,655,272,856,405,287,399,365,635,857,915,045,856,123,594,308,
641,233,703,687,967,014,585,781,884,375,870,692,352,670,159,427,114,177,518,
329,718,900,054,324,628,309,541,242,659,452,558,154,979,904,559,960,217,179,
903,659,334,943,312,236,624,804,386,298,566,703,099,658,417,225,430,746,027,
705,915,022,454,645,901,529,935,904,481,020,472,690,869,038,207,917,024,629,
481,424,804,314,260,628,371,804,120,006,988,135,519,739,901,424,355,018,287,
779,948,438,714,815,097,127,474,619,501,575,933,078,032,668,609,118,204,656,
337,791,314,495,947,140,667,618,423,238,870,880,036,114,739,592,814,457,530,
905,429,587,403,983,409,697,113,330,029,983,341,448,323,774,621,198,740,782,
665,797,792,364,790,841,351,034,706,046,626,960,284,534,422,298,397,033,736,
529,353,288,580,783,507,322,068,154,314,858,890,612,563,820,452,535,953,468,
899,268,822,840,333,152,147,379,390,191,936,177,868,939,947,826,522,460,146,
967,480,445,247,852,142,249,745,870,586,722,348,808,121,189,847,524,277,294,
932,205,709,620,503,672,783,575,629,036,497,725,042,603,549,133,515,065,830,
320,008,344,157,464,225,127,793,042,612,833,002,805,554,406,222,369,854,537,
689,489,793,587,708,089,010,716,620,462,783,811,972,411,281,135,268,963,701,
950,597,015,864,175,956,746,830,809,591,287,292,837,359,533,523,229,357,860,
476,339,954,471,145,168,586,500,109,009,306,382,813,580,692,473,199,153,241,
195,252,975,555,193,049,593,529,519,635,639,042,426,741,722,724,195,344,448,
296,419,525,361,514,469,112,368,251,007,821,403,700,593,078,554,410,341,801,
430,506,068,938,668,790,362,369,432,352,950,477,482,150,966,494,186,857,285,
484,970,220,880,072,485,668,491,952,112,440,253,000,094,445,535,738,425,054,
122,250,164,523,016,892,225,881,269,930,557,724,700,640,708,772,834,038,657,
458,026,234,196,650,366,159,435,663,841,731,304,278,557,953,976,427,964,040,
319,393,094,790,155,074,907,443,199,056,981,306,578,963,461,328,433,988,545,
502,442,913,033,701,487,995,694,570,131,107,040,428,613,114,312,425,986,322,
645,827,472,263,841,316,481,987,291,998,936,738,349,004,316,261,896,103,291,
126,757,531,836,425,308,569,404,017,700,203,351,181,341,803,993,489,889,004,
009,753,558,600,300,340,427,504,364,681,516,014,910,475,400,487,209,822,268,
714,219,373,795,101,092,164,070,790,223,555,336,320,779,634,489,233,013,996,
576,339,471,878,227,893,956,293,970,244,349,445,684,808,543,880,277,221,086,
775,373,968,467,022,353,350,043,924,746,295,549,924,493,866,504,440,983,309,
909,138,977,477,360,423,297,408,144,270,755,247,989,615,092,066,711,586,472,
688,372,072,642,315,729,745,784,596,095,802,395,972,171,921,554,251,707,786,
350,354,027,652,564,354,063,423,366,243,472,639,964,827,987,554,268,675,167,
197,467,522,254,785,660,937,536,594,293,225,650,064,250,540,470,512,402,948,
800,662,947,818,921,635,901,348,940,373,716,735,383,783,563,372,093,450,886,
221,449,621,885,701,953,182,754,468,451,680,236,050,133,199,259,343,972,714,
624,368,562,966,377,570,680,027,591,259,763,328,853,620,460,014,325,593,538,
989,375,234,883,951,019,525,921,134,824,526,166,537,444,977,974,820,574,319,
519,905,400,667,057,370,853,080,855,180,887,597,609,008,811,580,148,559,475,
360,832,177,108,848,367,732,789,783,195,781,460,629,241,196,894,242,254,735,
573,586,871,285,503,713,405,941,788,631,234,783,705,703,264,481,509,796,591,
187,177,528,074,310,952,487,983,873,077,398,874,101,487,308,447,073,666,084,
381,742,745,908,108,438,680,544,210,685,423,581,218,822,040,366,589,396,119,
864,468,535,333,417,784,121,955,382,685,926,551,725,093,128,320,545,652,245,
840,441,876,399,409,460,860,773,356,246,494,480,300,605,443,607,371,568,394,
639,749,488,050,787,386,838,776,087,032,467,016,226,839,296,833,998,711,589,
254,259,586,441,145,787,320,582,382,422,256,307,902,333,349,289,059,012,147,
881,240,656,285,805,187,698,873,676,365,556,348,654,577,542,397,131,553,391,
116,478,026,302,329,152,497,063,017,715,596,820,271,951,072,415,183,461,229,
012,819,311,339,718,505,498,363,233,177,394,353,114,685,742,211,793,867,082,
421,436,219,748,581,728,477,654,778,780,883,152,618,005,554,501,933,127,537,
594,950,385,493,287,912,491,630,647,147,669,837,813,890,829,408,594,062,723,
420,412,663,828,244,213,610,416,826,727,050,888,005,722,313,563,409,994,644,
338,394,152,871,428,879,273,337,625,634,040,617,120,063,031,497,771,988,993,
454,437,541,585,652,456,013,849,711,012,285,119,835,486,919,622,938,651,327,
328,241,468,015,428,052,519,854,689,226,129,865,368,678,109,682,115,109,309,
761,556,516,684,943,271,557,156,462,518,491,216,174,377,546,530,089,805,704,
962,517,963,503,579,864,577,045,566,406,470,775,200,689,057,072,679,787,404,
518,726,320,586,915,656,145,694,005,543,059,596,382,696,795,269,971,998,576,
977,729,815,073,828,891,245,514,066,938,159,870,314,649,869,840,249,722,676,
026,722,574,522,368,957,280,909,248,837,928,873,235,018,657,020,291,317,131,
885,611,963,049,884,393,887,347,375,577,589,641,769,017,647,603,230,029,864,
829,966,629,104,709,311,555,885,838,773,702,504,637,881,477,758,904,895,598,
723,483,588,073,878,727,366,252,690,250,222,572,960,058,418,838,542,002,569,
736,753,606,027,856,807,280,099,578,853,811,758,384,589,671,745,171,572,720,
913,018,309,634,769,051,287,896,828,637,263,426,062,258,346,742,920,591,471,
062,082,349,512,454,085,476,548,536,381,628,181,731,293,639,028,163,233,280,
668,361,665,635,578,399,750,778,239,218,859,745,018,567,480,187,418,841,455,
908,616,454,765,408,866,676,381,256,249,933,345,824,888,371,650,264,084,456,
192,447,667,103,295,823,419,807,834,112,461,207,321,931,608,446,206,211,795,
649,333,738,918,208,565,206,386,393,617,501,920,743,301,300,566,248,203,762,
364,785,056,678,429,430,874,540,114,290,283,274,772,187,208,444,220,987,118,
237,773,549,047,734,031,298,189,131,154,269,369,369,332,494,098,816,983,512,
524,122,021,115,333,797,072,976,529,847,451,190,271,590,522,065,276,419,287,
334,958,476,586,673,513,252,704,028,574,299,675,762,431,672,964,459,703,964,
662,257,994,149,257,742,312,865,492,739,990,720,106,216,620,369,735,527,271,
589,780,684,644,811,882,027,453,610,385,105,761,758,263,113,543,138,067,928,
228,336,312,761,026,610,776,610,828,874,208,026,550,163,885,376,120,383,883,
010,672,173,657,626,869,754,413,862,948,272,505,539,024,461,887,784,023,947,
870,924,182,131,299,897,714,576,296,960,579,765,496,847,967,181,412,701,669,
473,526,432,726,630,143,113,750,820,755,776,837,943,960,435,231,326,648,262,
544,025,448,304,372,646,224,411,793,970,919,180,212,272,696,862,089,693,240,
951,068,610,884,137,469,315,262,008,437,370,973,117,307,955,073,760,621,093,
302,758,154,383,497,115,612,274,367,108,596,755,505,079,422,762,575,049,520,
789,972,544,152,099,684,753,712,535,340,508,199,511,872,594,667,212,577,160,
924,885,434,306,078,956,301,325,937,418,805,561,239,706,969,734,326,640,336,
910,785,700,735,591,515,489,808,259,655,829,896,247,316,770,444,023,128,634,
014,853,077,110,767,507,243,253,975,001,911,047,491,836,263,065,762,102,437,
438,235,567,708,067,192,560,135,051,708,023,420,770,998,119,651,887,487,460,
281,309,347,052,561,876,016,810,456,742,352,890,621,385,226,948,451,354,328,
939,397,522,395,282,244,498,490,161,345,582,255,776,012,792,163,466,779,643,
172,196,939,142,723,219,292,765,451,439,151,276,568,115,487,182,793,840,173,
848,286,796,209,245,763,535,613,285,771,839,468,226,700,788,429,574,339,322,
040,663,105,503,087,561,675,517,961,402,235,408,787,385,914,568,498,207,986,
366,619,606,362,877,622,868,591,785,022,978,434,723,281,188,163,392,399,138,
333,934,452,028,101,903,302,316,011,623,205,633,674,085,296,815,790,226,484,
408,706,298,395,862,330,601,141,475,502,578,172,832,824,528,681,650,452,178,
628,635,500,956,461,360,551,101,947,862,145,194,927,695,153,004,675,332,947,
119,013,211,150,557,348,834,851,132,565,076,568,972,924,359,600,862,899,163,
357,871,778,598,115,148,451,601,509,267,914,125,037,109,588,313,369,055,720,
779,033,244,967,675,199,729,038,392,275,535,542,033,135,326,289,878,176,262,
003,588,930,200,470,495,344,588,909,837,720,097,394,214,145,221,628,255,877,
454,372,102,302,371,567,418,466,381,612,420,608,460,484,000,169,102,417,785,
431,440,054,044,208,299,830,836,464,832,211,260,655,446,813,721,575,398,923,
945,638,655,110,684,152,277,610,323,708,086,821,777,549,292,726,242,217,210,
447,628,801,675,864,322,485,143,978,735,299,280,413,459,517,001,983,366,063,
986,034,404,861,856,934,316,535,661,159,115,798,922,510,336,396,614,069,465,
235,940,900,147,622,021,924,833,665,653,049,781,445,203,807,144,896,993,402,
615,684,873,757,650,791,678,062,008,851,889,182,259,728,394,218,192,125,325,
489,559,379,703,369,267,356,932,267,091,726,496,125,724,642,756,828,540,571,
102,826,727,064,510,650,644,260,608,733,293,449,763,674,232,753,320,095,439,
019,308,006,529,684,190,199,731,666,109,300,442,310,469,819,536,442,963,230,
578,835,436,948,394,382,187,478,380,683,261,818,225,948,539,883,431,476,904,
746,738,989,378,724,259,543,444,777,124,786,321,156,036,164,321,117,986,006,
907,188,650,548,690,652,436,728,373,182,276,693,786,603,296,872,888,999,575,
616,260,920,275,883,850,332,591,329,491,165,542,102,538,587,484,155,790,104,
335,560,569,990,802,821,056,591,435,380,137,824,702,943,060,615,473,675,185,
618,075,891,066,210,621,095,463,924,217,257,670,976,452,558,679,558,646,706,
972,833,762,932,026,044,367,292,769,750,442,224,622,323,333,489,369,338,916,
094,100,497,963,853,591,361,991,039,426,529,206,566,896,385,553,684,610,902,
981,229,395,392,560,783,298,391,465,365,645,416,849,704,712,417,229,979,354,
571,226,412,509,372,740,043,102,362,380,401,829,587,053,095,934,110,486,646,
750,105,474,631,532,846,809,826,741,061,118,818,635,579,952,475,146,279,849,
813,359,827,020,626,367,345,232,372,132,112,815,589,186,791,893,268,438,238,
155,277,812,361,955,143,797,849,805,751,054,078,678,185,283,498,087,097,864,
791,923,272,182,665,074,609,345,904,555,341,336,303,535,414,496,991,019,016,
416,400,376,317,817,250,343,635,437,975,505,151,717,660,755,737,572,620,273,
572,115,090,714,572,401,729,137,235,770,825,951,546,820,342,348,768,477,648,
145,355,783,831,086,709,353,616,123,757,507,555,406,712,267,221,224,644,269,
214,192,841,129,051,022,325,636,344,278,321,756,908,990,376,326,917,111,056,
724,156,223,276,235,084,469,077,388,321,585,767,919,075,301,088,605,182,036,
894,219,196,883,493,996,321,163,665,928,155,542,468,797,637,430,128,884,006,
990,582,154,533,771,758,458,078,673,415,653,922,939,290,515,763,206,860,813,
363,240,231,985,076,416,324,138,467,145,320,607,895,177,988,379,286,738,198,
927,277,410,923,920,813,390,263,417,378,009,312,944,061,174,954,876,686,817,
597,486,293,699,811,932,601,716,600,721,013,108,926,695,455,738,251,970,412,
060,226,092,794,404,807,598,714,277,497,544,407,014,123,443,757,865,109,908,
190,868,995,567,717,433,061,331,414,186,426,115,710,703,528,971,209,284,190,
055,855,922,593,425,474,255,980,128,867,777,650,500,052,097,510,141,043,970,
776,989,725,034,462,809,767,986,396,631,582,570,996,579,473,819,818,768,609,
439,610,499,976,411,438,059,968,218,145,199,077,616,248,342,730,136,620,940,
782,168,516,430,574,511,680,380,050,422,633,339,429,381,999,290,784,412,475,
945,332,976,864,802,649,895,814,423,075,227,398,207,090,391,408,399,753,915,
495,598,769,631,938,338,094,433,043,470,223,213,511,864,795,225,078,003,508,
123,947,718,426,860,253,646,446,902,138,452,507,714,949,926,712,109,057,619,
289,447,753,564,043,022,984,536,962,821,488,824,017,433,575,765,557,299,660,
499,739,090,024,955,022,201,923,879,340,493,967,100,169,524,511,526,826,141,
925,146,311,368,557,878,355,463,815,383,712,398,084,761,472,403,901,460,697,
805,895,360,755,479,819,022,274,245,495,073,647,082,152,513,833,538,208,449,
357,860,088,826,196,075,969,408,092,311,558,259,442,790,810,701,317,000,091,
380,220,259,986,912,686,952,655,578,700,066,744,939,921,985,443,009,391,277,
350,688,056,789,476,737,869,214,999,527,398,684,543,596,834,669,953,551,050,
446,879,481,270,752,965,146,963,213,852,923,717,295,020,319,597,713,880,677,
268,744,679,908,075,039,999,014,702,758,943,845,176,185,298,456,296,286,424,
806,957,140,211,909,249,752,371,896,553,224,720,513,179,580,276,522,472,057,
081,183,938,706,791,070,918,234,393,542,497,093,421,057,408,870,089,690,000,
608,280,982,165,500,036,538,042,439,203,084,037,510,390,085,747,448,139,624,
795,063,019,963,074,400,918,528,202,866,998,568,413,036,312,167,173,071,684,
918,715,421,576,332,143,229,850,948,673,399,235,788,080,146,816,083,866,451,
165,492,926,251,238,612,442,948,322,478,607,812,627,483,682,055,167,560,090,
635,221,440,114,890,081,719,565,148,856,574,539,469,973,506,877,791,179,992,
312,042,251,850,552,490,731,507,046,927,954,648,810,674,950,271,407,402,654,
767,299,822,936,194,132,884,501,765,579,622,279,934,107,678,975,966,615,461,
727,496,086,943,938,370,648,040,561,014,436,840,839,328,371,797,875,739,915,
181,311,347,649,115,980,514,259,029,970,024,720,530,959,942,173,073,007,976,
705,149,934,354,322,107,387,197,473,657,613,602,897,095,770,459,705,715,106,
806,686,836,301,646,324,154,128,973,844,946,528,635,535,108,284,436,564,824,
202,366,835,067,422,018,132,540,433,600,867,769,774,969,721,640,721,285,639,
429,829,451,059,672,675,550,413,594,602,930,049,479,702,126,614,464,320,768,
354,378,511,229,211,527,281,860,505,876,959,003,692,401,975,445,765,423,968,
156,972,964,995,170,453,377,409,366,030,469,785,031,438,386,614,021,093,935,
270,547,182,924,147,937,509,385,160,596,505,517,986,937,321,480,711,868,257,
195,846,648,360,284,970,576,486,206,838,017,063,593,760,333,320,452,745,677,
649,756,282,668,631,180,324,304,849,115,032,005,437,815,491,694,530,074,811,
375,174,854,182,943,380,204,890,018,089,795,531,806,974,766,070,965,180,348,
026,492,325,175,655,231,268,569,130,184,262,410,561,081,304,177,934,307,912,
953,614,105,423,837,497,266,442,227,729,185,464,705,413,698,609,231,094,361,
308,965,269,828,360,392,690,166,136,846,804,877,077,056,951,503,301,935,251,
064,484,075,401,067,222,830,632,565,077,937,745,759,040,232,330,212,845,420,
671,948,426,939,738,885,018,404,300,125,136,534,159,809,214,643,831,189,633,
752,426,938,787,704,779,481,895,724,571,746,024,826,731,559,729,152,676,354,
282,160,028,764,070,545,225,719,563,879,596,922,454,885,329,718,465,244,453,
023,025,710,230,512,062,208,870,551,619,472,685,854,454,040,935,966,049,219,
631,520,243,081,577,230,814,733,219,907,700,548,840,854,284,238,614,336,020,
806,404,529,741,425,325,900,550,167,578,075,792,098,889,571,758,859,697,466,
230,757,145,308,286,934,589,149,503,968,800,790,086,275,749,230,472,680,778,
473,205,715,517,064,336,623,519,807,997,220,332,084,511,803,500,492,465,532,
320,716,579,246,126,393,407,803,066,785,122,415,744,481,158,828,236,270,629,
514,731,293,133,974,277,177,683,887,617,162,173,160,488,561,718,299,072,951,
864,036,951,700,345,189,504,121,464,570,430,468,063,208,945,611,465,615,156,
633,867,347,318,118,501,540,407,479,227,273,565,206,635,964,180,938,228,154,
704,804,697,883,536,611,438,940,068,466,173,721,263,435,738,935,072,623,508,
255,864,777,734,478,449,960,289,652,849,088,619,424,756,526,607,853,673,829,
232,025,670,175,329,270,129,319,088,450,240,278,409,145,434,612,571,441,457,
709,260,628,330,004,281,329,003,615,113,958,332,605,066,467,201,484,996,627,
342,520,721,583,031,069,078,740,830,015,629,204,392,149,872,815,218,743,255,
216,948,921,266,224,788,486,975,929,638,796,152,391,916,513,609,529,011,021,
885,457,996,186,938,167,830,108,117,306,387,951,655,400,332,973,578,706,101,
366,370,175,880,249,218,455,272,905,882,536,774,490,557,920,501,878,591,297,
805,574,626,209,209,113,797,865,750,196,736,076,364,020,284,145,475,595,940,
029,036,350,444,005,173,263,629,741,018,152,064,925,146,402,629,024,401,449,
600,716,371,763,643,985,751,300,311,256,301,712,289,224,717,298,184,207,866,
202,773,294,176,535,027,603,419,318,911,548,252,801,869,983,201,704,575,883,
851,498,137,744,176,154,117,966,039,942,149,277,263,526,701,036,368,218,764,
506,922,000,708,742,412,993,181,370,201,285,396,369,687,384,118,139,989,436,
922,866,802,851,035,070,605,950,079,550,366,401,699,197,781,542,199,801,769,
134,143,392,815,596,391,517,280,205,773,211,168,533,312,511,122,338,938,696,
455,531,524,974,142,954,611,218,921,104,788,173,731,867,838,833,166,373,482,
487,169,496,570,849,831,462,828,741,952,485,855,621,017,746,030,768,928,234,
930,167,053,058,632,257,876,867,961,981,386,266,290,935,961,298,930,499,707,
169,223,931,610,328,700,849,677,678,570,237,287,909,074,511,965,553,675,386,
003,201,633,766,713,475,805,005,804,536,792,492,600,610,107,059,559,150,839,
945,118,851,799,778,990,920,481,208,811,869,561,668,137,171,120,891,939,104,
658,877,925,447,422,762,208,329,581,777,954,729,559,266,803,790,765,906,560,
204,418,269,185,860,026,218,457,116,943,437,910,261,945,368,217,095,591,943,
202,335,162,516,702,811,289,568,585,486,494,523,321,880,344,877,256,903,893,
544,649,693,692,811,610,060,881,195,707,602,385,642,548,520,017,750,198,029,
840,584,277,678,048,939,751,769,165,513,930,698,022,459,351,650,959,990,390,
281,310,432,549,424,229,341,219,616,717,221,090,804,249,974,941,202,416,863,
298,685,421,490,945,255,145,152,793,059,858,722,416,349,468,007,072,749,787,
421,029,385,133,387,758,857,638,680,935,666,818,249,623,498,169,349,914,688,
417,769,851,743,930,926,893,291,961,174,692,455,553,946,243,725,777,249,701,
114,745,886,066,491,407,049,852,135,816,014,435,665,280,787,874,427,964,360,
711,192,483,336,963,283,894,196,318,205,125,562,995,464,253,466,195,386,309,
103,222,970,271,544,739,900,327,906,550,926,409,042,433,132,388,569,608,759,
751,242,140,583,628,032,512,780,937,151,187,831,501,709,432,268,714,129,887,
734,196,115,562,740,279,134,006,256,141,917,042,240,252,767,367,233,672,264,
135,608,908,830,205,678,325,950,166,979,142,559,989,423,204,391,286,609,480,
314,703,774,309,962,964,548,339,055,369,634,233,711,398,491,934,979,410,961,
499,041,501,126,408,364,879,685,859,469,811,284,922,263,476,918,837,927,272,
157,824,292,977,223,941,903,458,149,752,340,163,682,258,430,040,176,285,221,
188,781,159,310,697,401,366,489,751,815,468,148,692,112,829,506,009,278,583,
174,638,415,861,922,804,885,534,806,429,252,860,902,465,668,911,832,527,110,
986,109,410,790,912,346,679,312,934,668,107,647,332,535,429,371,894,052,522,
133,647,377,140,338,195,030,098,363,078,296,475,311,792,874,096,710,534,863,
337,005,328,066,450,830,976,581,336,578,356,212,319,097,608,398,102,889,891,
247,755,344,714,048,650,468,380,227,215,344,260,524,956,669,498,762,250,084,
989,751,625,245,197,136,510,447,961,085,582,232,220,400,160,492,832,001,311,
272,118,938,495,142,752,120,907,891,345,673,699,373,573,070,452,518,413,749,
859,268,611,572,780,069,442,624,183,847,217,481,702,370,447,955,468,290,669,
643,033,868,454,841,621,380,196,574,692,667,651,877,245,574,611,576,103,001,
613,838,364,104,908,037,352,198,055,927,267,189,486,564,954,647,619,406,760,
784,460,860,023,957,150,043,534,042,778,385,068,239,585,542,966,737,963,220,
682,160,448,554,873,910,219,627,716,878,512,248,895,843,202,403,558,046,299,
612,058,683,832,383,245,502,583,108,755,491,670,177,256,419,614,548,723,813,
178,454,581,266,561,713,419,790,203,348,778,949,152,976,589,362,006,238,391,
172,025,509,363,725,529,356,751,337,152,472,180,340,097,438,322,369,327,298,
690,889,128,325,547,788,956,452,949,707,626,329,234,058,000,519,188,785,242,
279,859,820,565,951,309,926,445,770,719,640,769,470,711,648,638,443,354,877,
382,951,125,101,116,145,249,617,283,359,293,003,959,188,271,016,576,035,918,
114,622,846,923,998,299,281,173,841,417,856,705,043,881,153,205,145,050,094,
289,518,104,013,948,785,825,521,211,095,449,547,018,218,948,670,588,238,908,
741,435,278,971,884,696,417,085,360,794,036,924,058,439,891,310,087,913,870,
772,229,707,804,911,389,597,612,659,222,092,051,503,805,833,797,298,252,626,
168,983,071,051,701,740,800,115,016,119,272,801,959,514,404,936,272,744,234,
160,338,631,225,159,987,276,324,805,519,990,104,602,954,886,573,853,460,175,
732,721,362,867,812,474,324,486,113,288,597,603,916,308,745,669,325,137,422,
149,550,019,928,962,425,998,065,017,639,692,005,454,198,914,851,097,031,877,
182,676,917,836,611,465,917,886,206,521,892,594,424,316,237,905,163,990,044,
980,444,447,197,220,761,664,823,636,344,280,927,808,123,226,274,792,984,842,
104,964,696,827,534,803,907,207,848,697,849,624,490,230,327,267,504,551,565,
518,541,472,862,783,404,414,076,969,866,188,939,563,781,997,707,630,333,134,
048,319,600,520,068,964,351,958,526,251,289,687,285,989,359,703,796,809,448,
426,420,559,140,886,639,590,675,560,732,676,497,481,754,758,109,686,461,368,
201,692,873,738,812,928,036,877,865,196,681,180,169,790,579,264,585,196,089,
961,362,546,120,685,405,709,057,154,151,647,463,513,277,037,688,660,490,544,
759,437,685,297,614,765,323,455,633,473,202,891,811,347,039,199,723,038,621,
111,988,756,281,384,750,717,554,043,200,729,278,375,046,129,738,375,994,578,
557,774,583,300,486,127,515,463,171,359,178,592,463,532,295,115,645,761,613,
275,744,863,134,774,817,546,745,254,548,694,298,188,902,502,593,073,111,279,
889,236,150,866,392,574,522,114,918,643,293,568,710,139,007,591,280,723,706,
007,794,479,519,611,744,974,831,110,323,087,279,968,520,219,701,681,270,009,
918,940,416,257,614,308,547,807,403,779,372,928,933,900,568,836,823,399,531,
867,235,162,494,126,122,392,280,905,718,411,880,605,599,426,905,405,910,183,
445,732,665,917,333,881,733,604,597,749,832,076,755,112,986,789,450,765,325,
123,722,021,062,011,499,774,020,516,042,498,811,153,040,253,426,965,820,244,
258,175,537,265,809,700,025,646,720,750,513,426,138,450,841,457,859,555,713,
865,368,994,846,187,807,031,572,802,012,006,918,357,961,631,256,552,686,345,
021,740,760,008,043,941,658,601,773,414,512,437,896,664,070,750,470,534,578,
772,473,272,051,131,761,883,276,991,120,514,179,748,228,125,422,664,240,883,
198,588,108,697,228,694,630,494,486,520,730,528,428,160,245,109,638,977,567,
991,250,067,677,156,313,498,905,719,465,427,034,069,570,917,124,653,131,590,
824,990,241,189,443,965,809,376,040,983,870,991,663,399,375,172,900,373,591,
069,022,720,491,528,258,256,892,378,444,180,518,266,103,883,690,762,802,829,
073,445,693,492,111,137,501,603,497,584,596,411,209,488,582,212,192,635,313,
093,830,930,875,120,767,596,146,254,551,141,118,225,055,683,777,477,555,139,
215,542,337,805,005,270,338,249,875,214,824,639,239,951,649,872,517,163,293,
309,698,841,996,143,379,814,839,530,269,783,278,011,438,510,737,547,619,084,
552,194,994,811,528,110,720,168,976,678,004,726,423,876,032,489,395,232,493,
545,116,895,509,071,408,149,722,616,783,951,574,785,834,877,661,456,398,499,
789,155,075,874,335,239,638,576,130,424,029,681,052,187,817,905,828,446,996,
810,003,484,868,676,471,540,991,773,246,938,376,966,739,614,700,888,160,223,
773,910,777,460,185,953,437,064,269,705,147,863,596,814,633,284,838,275,902,
781,679,128,083,204,342,402,567,152,071,172,385,988,755,075,493,399,952,592,
102,740,415,669,534,406,938,559,777,086,460,286,512,765,437,994,599,053,387,
968,434,881,524,150,494,008,595,249,334,267,985,781,112,771,443,721,857,233,
866,627,027,009,130,131,885,863,289,792,273,701,382,291,515,106,963,043,023,
647,142,458,608,904,770,192,639,980,565,383,069,788,816,396,658,623,784,019,
441,602,576,392,664,726,186,180,894,656,131,001,363,138,373,224,253,898,819,
668,840,957,710,111,900,126,306,847,243,278,181,324,501,485,952,614,883,782,
952,797,071,781,301,221,082,145,961,890,357,045,423,511,787,844,963,756,005,
263,697,152,161,237,796,130,243,777,569,521,952,807,514,464,702,908,769,426,
667,070,318,706,527,566,663,244,477,505,640,788,543,634,622,304,954,069,697,
901,120,998,781,660,437,279,509,813,386,401,808,659,878,768,599,531,731,170,
641,542,214,167,994,382,422,361,634,143,948,740,304,555,834,223,697,094,477,
463,525,859,636,859,255,957,911,782,977,104,020,609,802,003,387,680,875,748,
220,855,095,974,142,912,605,797,695,425,782,059,144,371,590,633,036,067,666,
718,569,902,457,263,327,573,807,986,441,444,165,210,765,627,919,537,127,310,
722,819,240,508,137,300,336,957,344,593,960,760,646,167,941,000,498,305,889,
089,804,286,647,007,576,515,273,420,787,773,602,316,963,059,957,047,612,585,
215,502,386,774,247,511,086,570,317,021,833,970,513,940,346,603,417,560,974,
088,076,093,152,966,845,227,723,323,756,896,447,899,347,604,388,486,213,104,
427,037,429,187,342,929,754,778,688,886,429,792,828,203,958,918,840,380,084,
043,292,690,227,797,277,946,119,210,015,726,235,688,536,555,818,198,279,363,
139,566,602,358,726,450,520,002,537,589,613,213,121,141,389,096,689,442,039,
407,415,025,610,720,656,379,321,255,638,934,433,632,738,961,166,686,063,518,
356,124,320,582,760,944,455,884,909,408,862,889,305,037,738,451,063,811,941,
145,173,813,579,461,435,469,830,587,740,266,085,467,966,405,680,388,019,251,
852,856,373,357,616,619,629,204,089,007,256,696,148,342,862,014,278,530,169,
017,004,243,467,389,423,622,684,541,929,890,635,342,690,025,687,755,706,105,
876,249,083,190,299,449,069,145,074,202,189,330,730,229,886,048,267,779,605,
767,667,438,396,938,569,915,366,987,496,686,836,259,389,152,955,309,841,541,
478,702,273,800,708,968,959,090,538,310,499,438,354,583,581,864,963,683,566,
597,763,101,009,782,818,521,176,503,239,958,997,039,553,577,491,623,595,262,
254,496,811,219,507,514,736,395,123,933,855,036,254,067,619,418,833,279,265,
316,471,936,700,934,766,901,020,450,536,859,855,977,155,200,401,406,877,234,
652,280,008,196,254,438,353,996,778,264,167,216,417,791,875,016,091,909,907,
210,917,587,620,576,089,027,632,168,557,437,987,006,313,167,318,041,877,958,
042,061,122,424,025,702,325,370,547,081,728,661,935,669,400,185,368,755,682,
718,258,629,703,024,177,839,620,494,006,008,877,209,411,426,578,070,868,693,
603,006,292,377,220,249,196,224,244,825,683,452,428,230,040,760,222,200,577,
100,698,573,369,066,425,245,052,292,949,134,921,207,356,805,983,366,957,204,
069,169,204,514,526,748,706,613,370,532,234,315,725,094,166,098,711,496,229,
222,752,047,471,491,016,709,022,082,831,184,192,183,032,686,603,269,149,948,
800,824,266,230,627,841,774,186,220,066,736,509,017,255,439,425,953,877,354,
915,183,250,187,141,678,519,449,096,809,031,479,719,925,809,603,471,830,721,
155,544,748,909,239,472,596,476,203,526,958,856,864,760,808,899,051,624,534,
067,230,763,451,060,579,915,037,874,267,771,688,802,126,058,569,249,558,512,
925,585,431,113,357,457,046,888,864,792,684,305,485,211,094,840,370,649,559,
310,596,912,304,127,051,188,641,955,496,284,652,553,707,473,846,405,600,207,
971,149,783,045,798,020,446,094,324,768,343,830,093,103,015,815,100,596,452,
571,465,702,451,621,641,995,954,923,587,356,492,480,537,424,769,910,669,842,
044,403,629,473,665,976,964,153,177,665,751,133,729,210,421,456,578,328,100,
447,868,489,477,906,447,685,863,964,015,245,361,851,852,829,227,091,748,196,
645,240,254,377,596,262,151,129,359,309,417,032,963,064,927,106,807,920,933,
103,894,505,726,764,054,770,641,711,110,912,289,166,640,389,036,882,627,483,
390,762,447,824,826,420,608,513,432,934,490,195,680,761,800,408,492,664,975,
067,683,002,633,610,330,253,726,270,041,609,069,087,948,646,596,984,707,080,
902,853,274,342,727,992,502,499,389,623,597,064,152,480,627,777,848,047,531,
364,298,759,670,675,968,520,944,455,949,861,825,791,281,965,730,128,625,425,
715,951,506,987,269,488,755,677,319,638,763,411,505,900,844,212,161,879,241,
098,986,726,705,632,137,137,336,484,851,960,604,190,605,116,329,110,525,131,
339,890,316,960,315,303,930,291,246,840,154,032,584,472,654,065,899,773,074,
894,080,463,086,926,858,880,357,232,926,018,123,354,749,423,742,203,053,893,
909,353,268,778,175,318,250,094,289,347,183,326,046,200,438,506,646,547,257,
024,061,878,747,376,257,544,631,727,921,910,443,826,619,916,747,942,151,386,
030,235,927,397,183,482,287,260,554,193,893,218,086,992,049,796,436,365,475,
662,688,653,199,564,197,861,322,909,877,562,672,718,968,714,031,146,068,697,
391,613,824,149,223,199,757,107,960,866,375,126,211,646,198,374,217,301,862,
756,352,161,384,583,839,891,232,430,900,341,646,610,326,831,686,811,280,860,
165,709,065,438,148,551,551,580,853,398,436,585,620,658,921,174,095,169,346,
896,475,814,377,454,638,397,358,178,048,884,984,609,689,308,707,869,874,206,
984,221,132,638,770,224,323,604,824,277,387,139,410,081,136,340,649,761,075,
705,457,718,044,296,677,093,467,119,583,781,217,953,915,840,391,230,052,497,
415,426,528,218,811,888,912,121,677,921,791,847,807,114,604,485,588,283,054,
629,038,727,536,766,664,856,044,770,108,472,430,098,798,295,263,540,901,786,
040,661,572,127,136,607,589,418,823,305,006,819,868,290,051,242,379,806,377,
267,308,236,791,030,555,256,088,039,368,349,777,799,559,058,926,330,440,409,
809,875,445,304,370,753,065,387,680,889,146,386,956,815,978,216,526,383,797,
390,182,841,241,017,993,642,914,185,892,877,396,583,603,323,020,456,797,880,
933,714,479,726,033,562,604,065,945,938,575,174,447,014,998,060,967,120,707,
361,879,259,050,944,698,247,246,707,387,938,803,513,334,791,615,617,300,560,
593,555,905,041,759,462,066,372,990,271,510,800,678,096,795,982,572,383,828,
817,895,233,346,879,772,611,363,420,392,200,995,060,700,389,770,659,635,705,
043,655,240,414,567,620,937,223,408,888,457,516,227,199,432,662,495,341,420,
399,415,197,693,686,646,920,937,030,693,858,504,768,310,822,979,774,081,087,
174,627,235,837,679,938,593,527,183,099,751,320,994,549,140,416,705,567,482,
968,679,916,247,700,907,123,532,529,768,689,473,815,334,787,730,166,478,468,
415,864,590,396,088,855,206,171,522,514,226,945,260,382,447,204,406,077,936,
218,721,433,117,185,684,116,944,849,889,686,418,887,374,222,546,133,415,090,
672,864,050,898,994,482,659,543,622,881,155,042,166,478,318,439,184,167,983,
793,755,795,145,408,945,350,019,657,827,269,971,075,181,562,121,328,682,539,
115,496,393,003,236,505,697,895,181,875,757,445,487,201,943,771,117,510,552,
796,542,607,709,569,241,103,273,856,890,005,699,433,860,759,761,540,979,021,
375,544,655,158,739,177,193,211,034,519,670,629,448,152,998,915,655,507,689,
100,763,700,340,282,878,821,040,164,528,694,394,490,073,534,249,776,087,492,
844,830,177,174,546,379,674,022,173,229,860,835,460,347,825,379,193,517,936,
239,845,607,489,785,067,988,823,823,295,434,931,208,170,686,500,863,745,896,
282,426,744,179,893,258,134,810,300,955,567,477,901,651,394,470,466,788,164,
728,927,608,776,533,271,132,891,203,342,800,373,201,924,882,240,378,361,227,
045,534,412,925,818,302,777,568,407,911,435,552,048,903,381,346,935,760,727,
258,278,060,169,000,227,507,777,229,366,279,602,264,942,669,381,563,765,144,
620,933,616,735,127,584,751,056,869,466,709,163,183,386,746,110,009,910,822,
054,673,313,548,387,458,731,291,102,275,829,269,233,698,528,908,057,764,740,
669,288,241,678,577,217,154,537,336,937,416,637,514,741,549,861,111,775,832,
215,011,205,485,709,011,165,781,576,767,958,397,858,830,148,481,411,318,969,
714,705,646,380,016,965,754,412,916,426,214,351,183,112,791,190,607,070,096,
985,989,870,169,086,144,737,905,371,246,027,605,164,642,948,235,277,761,036,
317,091,924,474,146,002,034,045,949,920,402,602,058,577,859,996,145,846,217,
014,268,403,284,089,685,667,055,894,144,916,309,626,053,624,291,240,913,828,
910,712,446,759,597,123,378,662,736,989,068,004,615,091,144,358,802,116,865,
018,029,665,542,644,778,896,485,308,878,464,954,088,451,021,691,716,462,170,
936,856,406,943,558,293,726,816,853,517,971,789,217,339,574,459,134,582,106,
674,409,053,240,534,796,019,668,600,753,807,546,531,950,203,638,795,255,841,
712,094,222,194,564,867,169,466,251,840,771,678,446,840,338,805,646,315,664,
526,608,304,110,287,917,904,094,832,146,659,367,623,449,772,382,103,679,535,
243,999,446,227,212,439,728,694,074,804,882,581,148,608,578,289,409,679,563,
617,073,574,050,041,544,551,318,122,531,214,865,532,816,426,197,712,932,890,
282,673,387,137,900,608,077,693,442,456,412,685,058,917,194,032,123,442,795,
391,921,350,425,764,352,994,263,846,422,708,370,834,197,191,587,013,416,065,
179,402,914,197,254,907,208,191,601,111,617,221,107,608,422,449,767,543,730,
629,189,160,883,446,974,839,673,060,131,476,302,842,011,886,702,944,111,383,
697,095,654,193,339,150,179,956,615,173,826,035,695,143,819,829,517,756,748,
892,229,426,464,048,441,616,059,435,383,966,403,626,218,178,901,379,161,885,
674,617,563,206,329,862,021,919,684,801,843,840,099,469,862,896,457,100,599,
566,130,723,923,369,980,222,787,472,348,492,713,786,336,520,709,190,089,717,
728,127,723,521,648,030,951,323,711,808,347,430,386,897,463,952,547,053,228,
801,422,037,774,346,414,957,639,356,391,732,207,288,241,707,008,780,788,400,
617,174,999,090,076,337,121,453,012,860,695,778,629,753,393,173,816,435,852,
555,217,653,290,109,268,078,410,747,625,238,375,924,164,084,751,500,542,525,
991,672,897,428,428,493,145,495,151,736,425,665,688,384,059,181,370,502,152,
349,528,137,786,957,265,303,124,820,340,048,974,939,244,354,480,590,436,876,
615,516,469,206,251,881,893,687,868,313,665,524,485,023,206,885,671,633,481,
792,461,344,258,642,460,079,017,025,388,608,028,581,974,848,762,027,251,822,
074,172,162,801,351,987,355,484,401,645,293,855,186,096,439,163,649,014,202,
690,690,144,026,112,129,067,049,851,421,195,779,504,414,489,163,404,164,391,
045,833,469,026,249,158,636,287,715,981,174,537,968,187,525,413,028,006,146,
822,997,649,168,122,948,594,761,216,294,505,883,268,273,443,580,149,780,830,
674,571,418,750,447,096,209,573,210,974,466,072,772,190,921,902,801,895,194,
330,960,529,060,087,763,055,182,633,323,216,509,593,048,824,556,730,352,011,
326,943,229,956,818,018,381,339,912,057,116,745,711,847,199,893,104,330,312,
868,020,946,894,129,355,861,460,896,076,622,891,887,150,926,986,550,560,779,
567,987,121,383,298,127,162,009,885,864,817,856,725,957,841,394,447,532,641,
555,939,091,428,853,038,688,743,910,550,269,594,023,596,664,811,655,010,881,
250,702,810,681,045,303,261,340,686,244,514,675,327,591,509,087,646,224,953,
181,894,662,641,518,218,822,885,843,185,170,766,944,535,166,919,943,872,574,
743,328,486,946,079,633,184,426,753,438,900,848,606,231,551,533,962,571,546,
507,712,421,276,895,428,055,495,377,410,992,507,950,038,537,151,717,183,900,
023,830,927,833,360,402,798,685,323,939,016,701,896,804,492,579,499,590,087,
684,921,509,794,613,199,141,540,741,863,924,626,263,930,594,810,943,795,719,
379,678,492,133,463,592,625,638,982,443,431,138,098,934,624,620,873,366,075,
606,329,801,277,998,320,011,386,225,740,941,366,185,690,423,862,595,875,278,
016,975,453,525,355,833,429,616,760,863,351,406,687,551,795,941,616,516,497,
526,118,925,493,004,012,866,489,496,828,971,148,656,940,667,218,797,621,049,
810,123,236,126,663,428,113,035,963,911,300,239,509,804,264,065,497,398,170,
936,716,337,628,580,173,001,380,982,661,038,727,275,253,244,688,738,607,134,
837,732,729,707,988,024,182,108,598,938,853,838,966,156,999,826,382,113,676,
048,406,888,032,553,854,868,763,320,501,890,202,317,412,857,571,397,120,832,
881,286,190,986,320,912,667,794,352,558,429,003,955,182,184,041,600,831,587,
122,002,692,170,858,576,980,041,509,350,631,559,418,679,300,659,246,661,406,
025,882,322,141,265,131,788,979,536,873,460,350,067,276,423,353,145,619,048,
504,008,561,909,480,292,748,494,377,135,009,697,889,177,347,768,832,240,691,
857,538,069,402,176,936,137,950,853,387,621,537,122,255,701,989,141,332,486,
051,524,066,034,138,272,457,148,446,427,178,307,873,020,332,111,113,451,949,
216,795,088,427,157,478,574,107,200,768,409,057,251,760,792,153,328,044,136,
867,873,015,575,072,581,486,632,032,649,378,029,902,249,458,159,745,967,155,
526,358,417,305,814,253,937,629,029,765,164,652,123,759,359,731,885,967,678,
410,359,732,866,889,164,541,650,867,453,269,347,625,283,577,441,673,702,343,
768,934,119,325,881,738,912,757,875,419,811,174,264,580,201,715,931,944,393,
887,627,610,869,715,116,154,990,257,364,969,079,493,483,262,227,033,243,185,
842,035,642,004,662,950,385,644,076,285,712,286,301,587,627,659,052,137,432,
674,562,359,422,083,452,051,184,145,968,855,524,898,948,115,421,206,643,318,
949,947,660,081,913,409,133,722,831,214,080,543,255,323,244,885,242,889,266,
783,003,724,026,822,749,873,886,598,869,368,396,370,289,418,678,552,388,448,
131,135,887,873,672,547,480,779,553,774,283,291,776,225,746,243,518,859,989,
032,378,346,589,352,116,570,272,880,410,588,150,600,830,239,113,874,921,456,
049,065,617,999,572,569,180,068,748,972,904,730,223,251,156,518,235,322,302,
165,968,275,430,863,386,041,420,438,177,694,096,322,489,719,596,686,829,865,
925,146,131,484,850,195,032,374,859,419,503,926,933,854,179,015,091,967,613,
890,239,407,102,570,482,176,604,510,604,821,569,491,903,575,682,130,427,563,
897,790,506,210,801,122,243,013,002,589,021,678,416,134,578,077,138,795,915,
065,040,382,867,312,490,486,351,948,126,347,036,801,158,462,933,896,997,464,
719,192,149,232,464,935,294,639,695,095,283,354,204,663,647,389,783,208,378,
082,501,427,204,677,905,980,247,951,631,619,689,793,573,728,619,670,180,589,
790,087,452,504,306,956,183,364,478,307,936,255,966,921,920,473,276,798,512,
851,409,199,822,696,795,474,892,665,429,246,930,309,472,001,311,553,882,071,
350,807,612,771,820,457,989,850,985,841,923,438,158,272,945,833,902,845,149,
620,511,012,321,254,811,984,688,016,052,245,002,714,747,033,859,953,580,914,
062,640,673,237,001,017,251,172,802,696,457,398,225,786,453,493,340,380,644,
381,363,003,664,865,834,048,029,597,649,216,400,579,341,063,978,573,892,987,
808,415,864,586,496,057,560,973,421,581,235,475,696,982,838,859,219,077,769,
070,218,188,602,342,036,599,671,466,197,650,306,175,354,213,257,817,729,131,
208,907,941,703,745,678,730,916,053,808,546,077,264,549,128,454,961,423,489,
660,898,778,741,232,375,328,607,936,842,752,764,875,918,264,239,020,908,061,
900,108,829,670,579,363,446,448,560,096,151,651,146,268,240,526,816,524,959,
033,715,947,549,301,506,589,337,362,080,938,118,427,979,391,493,376,707,796,
702,102,672,476,138,028,817,334,994,630,385,576,178,406,818,339,434,880,897,
806,840,016,103,258,514,439,642,837,888,794,623,160,626,541,121,211,410,163,
957,017,453,612,490,100,051,843,542,765,455,508,978,734,128,246,874,116,648,
931,016,780,141,030,630,511,634,810,461,526,101,484,778,608,848,490,473,313,
462,094,232,735,695,104,747,678,972,824,799,617,131,110,192,194,154,567,554,
931,557,489,365,385,345,301,343,076,446,080,981,883,957,256,797,148,706,640,
595,378,483,535,703,917,809,752,170,627,541,832,312,614,260,518,718,500,751,
304,177,964,119,314,587,163,233,084,208,942,079,872,843,369,769,226,367,829,
132,921,082,682,595,160,741,189,043,069,770,458,955,533,311,794,721,949,882,
593,179,294,796,475,838,162,526,415,424,837,902,058,997,425,432,121,426,218,
157,161,337,044,412,483,920,411,316,819,279,942,607,780,922,990,415,867,073,
847,370,769,747,747,949,154,692,352,205,357,568,556,640,218,689,380,598,724,
840,863,840,462,806,132,692,017,272,819,102,595,474,706,896,256,649,380,222,
998,962,953,748,303,903,715,313,412,564,648,242,004,942,320,269,976,704,139,
227,691,321,697,145,270,845,391,378,266,628,883,265,972,363,670,461,250,089,
753,369,460,135,122,758,850,516,580,553,611,618,276,657,888,193,612,519,624,
755,729,032,900,034,063,087,782,001,406,033,800,668,876,178,921,484,617,673,
270,328,109,822,555,022,835,221,528,119,481,822,702,618,135,283,689,150,906,
833,692,369,545,406,415,786,557,360,940,141,044,663,385,418,163,066,124,303,
531,831,618,210,452,578,738,111,131,634,605,835,107,034,113,912,835,886,936,
595,104,946,344,751,277,782,045,365,816,690,004,623,704,958,174,088,497,664,
184,405,972,477,047,353,592,923,427,936,704,869,592,040,472,121,546,980,724,
114,294,257,439,803,933,433,088,694,393,339,387,624,819,750,679,592,234,360,
618,807,106,559,585,880,949,316,225,632,736,285,990,150,843,031,124,786,120,
268,362,065,417,100,955,923,847,312,003,775,723,066,741,277,115,591,102,328,
454,652,716,531,266,884,401,356,594,360,394,847,615,523,243,567,172,557,914,
040,474,656,088,713,355,361,025,192,125,866,848,023,571,127,667,131,910,956,
159,129,756,235,621,535,699,647,817,038,601,092,634,642,681,781,310,527,220,
717,030,237,334,981,570,630,566,892,918,934,909,377,600,475,497,794,709,624,
731,061,840,247,670,336,552,184,843,474,678,814,648,091,907,890,326,945,637,
474,088,020,673,158,676,017,282,313,678,454,227,893,126,010,233,210,921,036,
952,079,589,281,315,465,211,034,189,414,399,043,149,265,384,351,781,735,292,
599,580,767,849,397,882,076,189,987,106,479,254,908,758,802,684,539,945,188,
590,102,665,414,252,107,674,003,436,170,735,518,689,678,464,716,722,159,043,
455,997,062,455,516,933,658,102,795,611,465,554,491,907,821,261,774,407,105,
106,148,887,412,993,083,738,986,476,491,146,685,955,948,617,411,144,536,635,
975,986,347,369,849,483,813,303,620,513,050,875,177,191,352,602,175,743,055,
490,197,968,567,954,934,395,140,268,000,451,361,970,841,690,552,237,005,511,
360,597,368,084,397,619,386,259,893,224,561,822,354,080,296,369,755,712,795,
758,304,723,829,779,923,530,412,965,805,723,496,468,921,359,446,404,864,952,
661,267,259,460,099,517,965,524,300,199,997,274,942,614,937,749,459,295,260,
737,274,263,332,338,361,398,880,127,653,601,090,907,467,989,809,344,218,239,
463,752,594,739,333,766,965,416,035,833,429,963,863,670,916,035,665,443,020,
978,189,425,991,000,470,635,556,717,532,379,508,135,868,449,244,574,127,535,
510,888,031,549,312,019,181,962,178,386,308,964,472,795,079,830,174,321,357,
790,900,108,806,296,626,388,818,126,959,604,185,525,498,059,501,579,747,558,
278,407,270,443,833,015,189,821,736,001,879,860,219,725,155,367,940,429,151,
708,985,120,368,100,906,614,855,990,078,879,520,221,131,334,662,153,384,124,
968,417,184,854,345,850,599,733,033,128,793,870,065,442,434,753,808,409,302,
084,643,146,932,256,493,751,127,989,387,007,692,397,193,241,212,189,801,453,
136,396,746,335,898,098,069,930,687,092,491,513,518,480,434,777,191,398,789,
267,875,545,807,951,628,765,716,234,690,145,929,412,063,738,992,171,098,211,
116,806,305,134,225,062,881,232,387,036,554,340,324,585,722,993,855,347,793,
473,988,158,800,572,301,735,380,887,963,303,982,400,805,392,176,785,744,565,
325,939,865,500,551,814,444,709,806,594,044,917,217,312,794,608,436,790,290,
501,004,532,443,267,698,793,496,102,305,773,804,674,329,426,060,306,514,488,
740,149,211,255,102,807,672,924,904,014,702,813,191,777,709,920,153,031,489,
961,808,459,053,589,441,840,966,652,538,594,342,371,408,511,452,029,424,245,
486,116,758,061,526,317,957,259,534,967,303,863,687,400,522,395,829,394,342,
051,792,851,203,270,847,313,187,673,841,958,451,727,967,121,754,390,657,909,
029,695,677,580,848,612,379,449,448,437,638,557,592,797,627,628,291,342,225,
753,184,426,228,438,392,728,385,226,633,083,785,534,109,537,220,522,828,475,
240,323,023,857,214,846,262,760,295,151,037,209,789,745,840,143,263,922,962,
151,641,483,061,608,616,278,906,452,375,110,639,219,148,858,502,130,556,970,
760,119,493,804,145,284,766,074,465,356,992,625,154,913,709,246,840,519,241,
649,609,032,237,231,989,268,842,433,798,946,699,697,420,239,441,160,416,257,
789,461,349,532,363,805,112,379,120,803,901,094,685,287,691,759,556,253,263,
220,144,161,880,613,320,844,565,238,596,958,951,611,326,881,693,094,375,381,
532,766,085,369,811,482,878,920,994,215,657,231,756,288,843,832,742,557,166,
937,753,845,253,838,465,684,822,479,695,606,698,842,054,545,045,918,227,029,
206,793,189,208,275,346,247,835,730,616,614,214,783,370,732,577,374,967,779,
942,008,620,003,084,338,773,224,710,762,436,302,832,538,307,718,505,201,491,
215,655,563,990,653,074,590,766,086,183,150,002,246,772,817,368,514,617,439,
243,473,629,770,351,548,641,191,719,621,682,358,674,753,283,187,426,046,691,
377,271,577,093,042,564,696,731,997,649,135,876,933,934,068,843,202,586,551,
584,260,054,726,117,719,048,960,965,759,354,891,057,569,077,569,426,939,690,
999,874,929,531,516,870,315,338,876,667,585,756,059,821,618,879,472,407,186,
386,540,901,713,425,534,530,986,068,767,766,352,515,695,436,809,738,227,571,
524,453,988,284,263,158,412,718,863,556,098,721,708,680,182,238,703,582,760,
288,287,548,443,472,806,904,674,604,461,678,902,597,784,332,683,785,323,041,
408,868,113,479,498,108,998,829,930,416,930,001,218,490,538,507,135,091,737,
139,073,657,874,161,961,342,931,678,339,690,503,068,024,724,368,506,922,717,
472,355,932,424,248,069,765,847,381,114,568,817,348,064,835,857,376,276,466,
782,488,222,059,432,058,963,645,960,694,241,897,580,442,377,915,031,016,899,
776,246,552,684,132,147,489,778,092,627,280,869,049,288,954,544,633,066,157,
302,617,604,288,296,704,748,444,151,475,868,696,949,314,624,661,050,467,612,
248,158,421,571,452,774,810,830,633,773,625,132,082,407,934,006,970,752,722,
296,533,080,220,094,266,927,962,746,552,281,160,494,707,278,845,530,059,589,
823,044,806,357,683,092,335,893,935,829,651,305,639,499,355,618,985,270,485,
305,196,631,147,900,466,235,988,819,607,749,315,016,555,080,778,819,248,721,
874,636,931,696,797,209,492,793,882,087,518,780,370,572,839,814,161,269,933,
526,295,686,155,658,853,311,355,299,817,611,936,824,809,074,058,936,110,292,
144,723,558,567,815,496,420,177,284,136,575,688,731,741,852,818,391,293,538,
142,976,350,584,756,849,842,027,023,873,460,958,008,123,163,781,839,166,704,
647,290,291,316,366,815,547,843,596,454,695,040,555,359,605,832,689,258,789,
190,948,082,179,534,894,795,499,888,521,865,254,488,904,492,961,653,902,205,
761,497,414,576,254,178,759,074,219,191,820,378,706,232,572,292,400,866,300,
566,328,522,961,002,593,448,916,380,530,309,769,792,035,191,761,418,207,675,
367,331,470,163,395,451,455,456,878,633,627,631,567,905,688,635,327,921,065,
853,405,576,071,309,799,793,831,763,916,285,377,503,576,912,471,816,309,479,
139,710,799,982,227,412,626,347,366,359,433,286,521,873,657,620,133,732,970,
368,155,036,713,648,807,024,186,546,650,467,966,128,584,409,696,583,242,830,
513,374,468,866,338,903,893,534,576,925,258,784,267,480,584,304,719,475,748,
713,552,469,941,749,819,447,468,948,412,435,412,088,227,384,645,288,765,355,
061,768,931,434,326,009,023,712,088,463,734,407,137,277,391,067,537,666,857,
337,857,161,104,570,448,565,731,730,154,761,738,229,869,955,522,438,181,017,
103,858,766,657,361,516,072,322,374,693,482,393,017,287,861,595,931,376,227,
661,440,364,580,024,464,264,139,006,321,467,955,563,117,028,788,533,482,312,
828,182,126,320,421,134,255,023,525,196,121,424,628,503,030,529,052,238,292,
631,168,229,011,001,962,785,440,141,495,563,619,925,355,284,342,726,190,175,
087,585,018,890,851,471,822,637,186,661,750,339,518,908,819,856,285,198,388,
022,429,261,052,281,666,120,336,728,311,657,054,653,857,190,785,548,033,593,
934,792,610,361,090,735,106,623,968,950,001,300,573,115,916,607,873,210,162,
608,562,862,894,677,203,125,580,634,365,465,110,046,592,363,299,233,159,879,
509,377,377,209,939,899,747,627,653,942,267,481,996,359,408,932,530,308,514,
401,964,366,929,075,072,472,446,858,818,855,413,109,927,459,724,246,186,236,
653,589,548,758,387,982,311,485,460,927,892,140,741,869,666,871,475,303,060,
857,001,320,087,519,601,909,681,040,125,680,687,245,259,882,263,554,199,001,
897,834,285,571,051,703,572,514,812,414,069,626,511,843,125,662,555,172,845,
884,398,786,392,784,232,428,294,696,050,706,181,653,736,006,400,099,490,695,
972,161,836,878,336,142,326,324,335,172,512,687,563,810,573,579,994,767,998,
110,407,877,186,320,339,329,188,448,517,781,624,279,718,985,386,697,524,541,
464,486,704,162,026,684,506,655,251,068,919,245,997,420,764,461,720,187,589,
457,913,817,664,317,240,138,213,608,657,346,675,549,324,135,082,886,984,774,
633,076,047,832,524,991,831,003,750,160,312,919,822,016,012,610,486,799,306,
788,034,104,264,220,638,598,370,008,849,118,660,524,826,582,296,421,606,365,
089,232,441,487,805,803,602,249,943,235,035,636,374,417,130,175,894,418,695,
396,121,659,609,472,110,943,206,031,109,100,475,222,052,144,249,415,840,946,
386,313,122,525,569,339,489,374,491,563,821,675,424,001,966,214,299,145,862,
081,600,257,890,469,045,149,445,763,700,229,088,889,432,195,583,201,891,811,
125,100,443,851,750,908,431,635,966,723,420,946,375,773,544,882,863,728,464,
993,547,712,462,103,685,407,510,544,016,054,451,076,112,031,078,633,293,867,
783,824,963,546,101,002,975,491,864,980,331,109,365,294,562,164,553,088,189,
608,495,597,743,945,389,763,132,852,126,160,187,160,314,548,163,267,091,210,
492,922,228,764,316,683,795,077,686,629,402,169,738,083,346,209,022,981,586,
330,235,327,170,088,775,532,545,132,199,415,594,095,518,807,692,451,456,317,
006,943,296,086,368,688,021,504,757,648,182,077,430,923,139,023,253,935,023,
403,058,505,651,796,965,134,186,593,626,973,645,838,110,197,654,569,691,585,
768,903,883,304,764,201,193,820,208,265,955,480,388,060,535,548,838,928,770,
006,941,684,186,113,001,564,430,912,224,107,955,231,810,576,628,070,158,077,
593,874,648,937,940,207,387,782,720,736,688,157,855,753,321,628,003,409,902,
095,192,703,451,652,847,898,430,742,326,552,820,586,718,808,793,355,646,658,
488,565,109,690,725,442,917,489,588,994,097,715,267,559,185,378,926,601,868,
793,854,937,354,885,336,343,536,173,112,766,770,101,343,217,866,624,122,942,
697,459,920,477,123,530,618,874,846,157,572,980,630,600,303,276,987,590,671,
419,226,819,228,900,900,343,112,961,032,322,840,032,017,159,680,815,756,137,
227,402,067,498,432,647,452,718,677,810,077,857,404,164,577,952,853,980,686,
700,484,528,387,037,547,042,049,890,095,161,352,754,086,562,876,388,336,556,
597,245,889,690,738,388,817,816,660,519,242,993,090,896,268,350,513,657,686,
448,016,498,481,162,046,219,477,331,426,938,424,718,739,748,318,370,821,229,
377,787,191,318,327,673,514,798,887,410,333,980,124,957,059,816,496,168,212,
162,684,930,128,912,223,147,419,109,437,933,089,792,837,247,027,718,013,085,
600,064,492,499,845,742,196,898,679,409,177,178,131,201,028,012,403,056,013,
926,877,701,879,785,764,959,355,925,462,829,165,306,343,190,574,683,767,698,
780,050,086,898,812,276,276,494,404,686,993,093,071,408,838,991,227,046,519,
589,099,387,732,346,107,278,465,684,990,780,558,874,992,905,233,406,398,375,
734,337,657,777,385,591,407,215,312,744,498,471,566,441,094,105,668,805,601,
208,759,386,222,071,072,105,872,662,407,849,498,530,317,175,960,578,933,652,
736,015,122,145,700,707,764,347,876,733,208,309,743,012,460,085,825,860,660,
427,023,212,427,725,454,757,837,969,275,404,209,053,627,079,618,237,423,059,
683,000,735,401,511,366,458,652,727,778,326,355,994,259,049,273,280,789,739,
111,731,195,529,072,923,326,674,832,858,977,547,037,485,638,418,693,464,864,
516,053,437,634,038,812,296,322,093,551,492,697,570,929,439,811,701,839,296,
851,368,243,115,441,163,288,391,508,150,448,499,411,057,716,427,263,841,852,
636,952,278,905,693,310,069,251,937,076,375,862,008,376,196,073,168,729,760,
913,295,459,102,386,178,321,966,859,572,865,829,548,807,440,980,640,978,303,
727,699,096,122,490,594,193,766,147,432,714,639,420,008,651,850,087,938,714,
206,466,210,412,681,054,923,359,536,198,452,326,551,553,454,369,345,278,486,
631,647,916,680,810,343,634,216,311,765,029,157,330,678,453,123,484,843,702,
037,807,677,581,581,249,158,166,605,397,647,217,088,638,066,355,865,610,209,
814,828,194,089,746,694,417,706,999,477,933,710,161,736,929,351,883,549,334,
593,712,100,810,592,457,502,187,910,713,432,557,760,343,632,046,345,378,054,
845,510,456,353,617,972,303,900,595,286,208,744,320,035,808,973,968,940,472,
397,792,045,645,428,577,870,101,000,738,486,839,161,879,716,780,697,885,761,
634,926,764,243,657,606,249,733,657,302,476,857,088,564,936,881,639,751,623,
867,709,087,840,247,632,918,729,950,915,431,689,665,608,638,440,719,274,349,
394,298,911,440,851,888,200,423,413,632,847,787,048,988,762,325,172,639,092,
578,317,019,969,347,172,148,630,559,456,928,663,492,120,870,368,078,083,079,
738,943,505,573,539,693,694,699,831,113,862,868,776,860,932,566,760,136,865,
817,110,558,212,150,359,795,991,840,918,677,032,323,729,096,660,673,906,509,
088,759,760,318,586,029,324,672,926,134,587,239,237,306,942,899,232,648,528,
027,014,661,387,271,081,564,227,991,769,416,176,890,395,272,929,984,547,926,
029,754,167,474,842,994,184,770,052,453,662,311,179,162,720,031,999,070,181,
624,875,829,932,347,334,152,680,367,952,155,916,840,452,293,462,054,154,438,
608,455,112,911,712,710,141,711,759,542,382,592,580,904,695,182,052,044,197,
592,731,506,381,382,458,625,223,584,679,608,338,526,040,854,343,547,662,892,
243,945,865,831,217,218,437,350,187,114,780,257,161,354,869,682,483,073,478,
415,098,133,333,021,194,633,543,862,645,760,979,258,156,587,985,078,302,988,
207,234,510,634,223,206,069,429,069,752,343,170,153,947,732,412,850,756,443,
412,774,085,864,804,291,585,426,681,830,222,206,676,918,622,239,508,466,734,
413,976,701,152,320,241,645,651,736,999,844,596,366,933,223,643,335,439,762,
633,972,955,554,631,341,837,554,103,707,882,115,418,391,562,115,215,438,560,
236,779,874,096,925,632,228,911,390,112,785,816,183,440,547,106,350,878,430,
239,412,865,724,561,348,103,469,430,456,230,018,972,402,378,386,704,679,598,
948,754,289,196,659,592,585,866,623,175,649,079,437,763,497,116,234,086,277,
732,470,509,168,921,543,885,353,497,763,859,525,174,288,940,830,756,568,105,
693,744,810,828,231,896,881,522,563,739,862,738,349,382,491,007,225,505,559,
185,321,062,871,615,003,415,544,363,770,925,533,849,247,962,853,951,331,360,
443,942,380,557,830,943,340,161,526,891,315,971,220,094,509,969,300,591,594,
787,751,041,978,302,436,664,402,439,543,432,364,284,316,348,404,399,290,285,
151,050,588,040,934,297,908,659,399,448,741,904,093,289,623,266,028,495,287,
196,758,996,116,590,616,135,179,653,980,736,831,883,445,640,060,437,059,504,
453,664,828,273,440,790,749,608,128,743,990,389,992,301,038,112,489,123,203,
701,038,878,874,221,812,922,185,108,021,317,156,176,683,841,056,035,716,356,
055,921,583,435,548,841,976,434,230,074,434,242,538,372,284,443,652,118,526,
480,544,573,853,945,158,273,942,944,406,544,398,755,707,645,201,827,507,467,
404,254,176,901,653,881,252,613,720,017,391,314,971,161,905,281,875,026,517,
549,747,557,053,447,932,027,590,664,181,450,013,119,071,377,237,526,103,437,
320,160,159,873,323,122,119,034,792,023,885,276,634,293,391,188,587,079,566,
676,734,997,155,249,947,275,898,892,925,385,746,554,800,852,238,245,599,302,
496,871,220,963,063,115,185,363,573,243,342,501,737,016,186,832,737,742,721,
906,725,305,180,622,351,860,585,765,058,949,207,946,631,847,597,724,555,859,
194,725,908,850,992,041,856,422,239,845,146,417,710,258,313,818,397,046,357,
212,215,417,414,650,009,161,159,610,649,473,171,530,485,730,811,650,179,598,
100,998,941,683,007,923,719,721,911,217,232,814,144,442,018,687,831,254,024,
427,568,182,794,821,934,037,460,485,627,475,051,239,960,181,967,519,269,330,
167,600,085,476,298,116,083,049,281,374,014,064,541,056,699,281,035,480,279,
268,459,559,617,637,652,797,913,318,715,755,099,899,143,880,119,683,271,909,
180,946,812,932,206,676,732,162,944,486,905,089,567,030,594,200,124,602,619,
932,231,385,262,614,521,116,855,719,956,176,947,830,292,665,786,489,436,787,
484,222,385,133,914,828,013,851,707,923,358,310,859,188,656,947,412,052,966,
304,133,351,664,292,240,075,347,413,050,673,718,387,443,190,790,219,504,188,
596,194,134,193,178,242,652,051,532,600,768,924,088,446,201,943,374,114,031,
410,011,279,991,471,029,001,290,176,702,323,143,866,304,153,700,288,982,284,
678,988,886,590,216,371,061,678,479,203,455,698,103,600,794,706,528,519,133,
729,481,652,035,615,752,884,735,512,767,502,526,636,677,404,099,182,457,183,
680,807,363,043,609,443,376,901,640,392,009,663,377,467,145,126,776,020,337,
216,355,724,701,127,055,822,278,227,406,652,772,042,259,280,748,369,610,171,
236,121,707,584,909,744,165,708,738,683,916,865,049,215,787,074,293,241,187,
383,668,923,916,650,159,785,963,889,527,136,172,491,945,919,191,326,786,382,
662,671,771,695,463,164,587,737,660,310,131,521,327,725,356,351,254,748,133,
544,066,061,250,537,095,134,298,380,004,019,985,910,039,919,245,563,033,618,
901,482,334,264,833,510,080,859,001,968,492,984,125,555,760,590,452,615,907,
019,963,768,792,162,868,866,386,685,874,595,286,704,733,813,408,433,199,763,
208,202,233,661,296,194,674,120,393,886,172,537,262,986,574,236,701,710,248,
126,737,540,422,308,993,153,767,279,411,468,154,074,399,375,315,568,797,373,
744,632,116,932,726,621,448,396,445,903,207,898,199,761,538,551,054,161,433,
158,042,692,397,926,100,904,836,081,454,405,047,621,967,070,799,322,587,671,
662,128,633,791,459,223,476,938,995,174,341,546,739,186,070,540,105,483,288,
496,222,868,191,180,713,883,244,693,691,450,559,360,377,534,302,342,821,767,
699,354,033,015,375,512,163,047,619,504,059,201,877,337,309,257,646,894,738,
714,929,321,019,623,581,914,011,704,916,720,612,587,780,387,247,931,397,336,
650,523,808,915,668,286,465,133,726,324,899,359,017,060,003,598,362,927,376,
486,708,944,230,214,602,682,397,173,923,426,816,983,467,544,135,413,582,350,
730,128,038,272,510,215,531,129,884,940,013,024,475,607,154,073,601,159,089,
364,277,150,746,331,015,113,728,916,794,950,320,995,550,865,579,579,277,752,
747,841,322,924,315,170,318,655,913,992,576,630,990,770,435,768,412,671,236,
459,910,762,633,994,001,345,210,157,992,762,637,462,351,914,420,926,296,853,
776,391,774,468,223,219,600,214,366,363,127,661,317,181,009,340,688,754,089,
102,581,601,583,311,887,338,649,820,837,291,903,766,485,433,181,210,920,839,
191,650,720,842,539,070,206,440,309,165,728,308,041,056,118,548,340,127,204,
197,419,751,887,340,212,550,154,222,002,842,139,950,075,288,721,419,563,832,
897,153,882,360,916,047,222,673,640,139,168,507,860,743,530,386,755,964,785,
596,534,916,820,713,880,556,844,493,049,027,228,950,682,148,373,139,567,842,
007,537,623,309,462,086,576,170,436,338,893,880,293,238,623,806,339,910,682,
662,820,706,177,095,052,398,571,718,813,854,791,996,249,829,335,269,455,082,
524,258,519,310,415,546,605,959,646,255,941,589,839,805,710,748,196,584,593,
706,878,374,155,833,633,167,245,081,618,697,009,873,610,548,441,495,370,360,
724,617,533,195,099,231,082,201,121,592,000,063,616,522,002,397,685,004,041,
285,864,812,355,108,835,812,371,661,638,793,859,293,736,734,039,660,091,435,
816,665,973,596,451,157,879,548,764,660,148,483,698,980,369,212,342,498,138,
721,606,353,058,550,693,185,479,982,924,209,754,428,895,026,351,607,420,466,
876,495,768,846,600,658,437,570,504,691,221,476,042,907,213,933,904,742,587,
892,471,731,231,395,431,552,822,052,029,995,685,217,155,566,594,501,624,967,
334,868,813,451,551,766,206,897,157,562,998,417,204,553,167,104,484,036,703,
498,783,090,133,290,945,857,626,627,760,704,616,151,146,594,519,712,165,446,
842,163,855,072,402,789,639,235,168,529,352,710,695,059,530,502,419,841,007,
024,658,702,185,941,624,903,994,195,365,560,504,983,618,718,425,027,288,107,
423,314,876,513,189,521,225,147,761,543,937,942,251,321,761,093,109,839,596,
836,309,737,238,162,209,332,558,410,545,890,157,330,840,664,125,800,139,791,
907,045,654,213,724,436,506,007,335,471,931,872,800,012,650,331,111,744,891,
512,199,276,492,666,886,830,051,852,164,415,825,447,649,115,432,971,999,321,
274,878,191,111,441,818,018,237,457,596,370,641,608,280,484,660,958,049,265,
356,758,751,124,826,124,802,647,680,425,540,761,591,293,045,066,796,130,626,
032,285,086,378,381,578,785,223,530,421,468,434,620,807,026,936,281,329,180,
016,235,127,104,269,329,408,243,863,090,797,527,829,883,161,104,437,765,729,
743,680,967,758,906,550,891,795,171,569,734,635,945,242,241,199,987,453,817,
061,682,923,396,356,635,538,203,776,128,899,701,944,258,282,885,046,877,044,
452,120,282,388,632,816,705,878,516,105,017,211,696,180,321,598,879,266,762,
269,302,123,490,842,045,416,411,554,545,228,313,593,586,021,724,275,786,465,
553,652,200,439,991,998,381,105,203,349,492,275,996,685,982,131,760,375,398,
373,117,011,679,219,112,022,052,049,884,214,336,517,269,047,748,902,659,090,
810,545,095,683,506,309,991,323,145,021,458,182,883,177,199,704,854,176,053,
614,545,458,966,052,445,740,362,446,283,949,069,401,917,452,433,262,870,928,
799,535,905,043,605,260,517,715,486,205,154,226,226,514,451,820,449,243,428,
907,946,308,647,769,303,810,976,709,029,917,452,823,766,053,458,722,249,315,
166,916,234,640,164,917,732,018,425,874,365,525,520,076,219,113,700,616,919,
420,285,077,724,878,682,523,026,863,340,657,100,276,329,448,066,155,457,472,
845,528,525,868,195,975,786,110,158,563,526,258,951,723,275,587,599,844,326,
907,370,065,318,997,645,763,947,981,011,110,571,667,635,216,418,307,206,879,
511,573,119,461,049,927,283,936,104,999,041,161,649,806,931,408,110,119,239,
475,550,748,886,285,871,148,189,471,687,850,114,006,550,651,241,494,517,141,
228,652,929,094,679,819,152,638,695,374,196,471,958,032,354,920,275,255,592,
088,418,571,752,371,203,816,987,591,671,790,137,992,264,885,554,100,655,605,
239,141,002,941,773,605,528,838,076,099,314,930,956,975,008,992,686,006,438,
049,724,736,009,908,353,430,202,972,230,295,836,656,885,757,046,013,245,740,
515,036,372,149,817,113,501,732,604,673,862,865,519,971,124,117,385,927,520,
004,616,439,113,448,139,204,216,720,772,703,025,379,690,075,640,920,679,241,
429,170,253,850,375,195,696,450,149,025,814,521,464,684,454,784,743,066,917,
096,214,733,396,764,005,064,180,947,309,521,871,339,334,275,392,948,983,043,
143,699,396,095,035,505,469,790,547,600,741,974,579,167,008,473,640,075,369,
381,619,375,324,804,361,359,501,409,912,552,855,490,883,520,550,658,881,747,
691,821,083,346,530,878,539,420,022,265,841,380,103,718,153,237,134,761,650,
425,519,395,176,556,238,333,938,677,881,400,637,179,459,680,084,250,118,388,
233,287,557,012,383,296,308,622,052,975,647,221,641,855,142,432,323,471,340,
918,810,479,059,349,130,733,034,476,048,088,223,769,914,809,702,867,712,500,
338,867,002,039,655,715,723,638,924,427,135,484,623,715,956,801,436,276,445,
441,983,650,311,322,005,782,175,276,513,863,542,069,239,956,756,622,646,052,
797,998,728,415,259,597,600,520,202,864,360,121,190,683,384,355,185,358,272,
423,682,441,900,976,819,257,733,508,716,858,323,132,395,107,066,221,769,202,
131,933,569,620,961,464,879,080,559,278,970,091,283,611,481,310,099,087,123,
743,425,908,590,807,453,863,328,656,541,047,354,571,060,904,758,745,411,130,
189,675,164,907,495,330,752,933,498,645,271,864,200,911,849,760,405,377,101,
515,411,640,607,120,215,077,891,618,547,761,984,527,657,090,494,183,867,034,
594,116,833,104,867,465,208,182,064,064,921,386,306,260,751,645,371,893,330,
931,739,603,568,145,637,060,980,085,742,628,095,148,099,758,189,523,133,846,
104,280,103,826,538,612,203,342,631,196,839,432,206,394,875,684,972,331,228,
132,988,906,697,319,808,202,148,050,703,262,884,831,639,618,323,505,337,849,
787,488,951,478,433,106,720,646,924,159,729,183,884,998,225,134,428,601,290,
960,304,728,217,055,110,810,602,484,264,994,631,341,074,097,269,131,408,536,
579,209,656,583,972,306,291,045,071,898,088,575,759,213,285,145,349,405,396,
110,604,761,158,187,882,385,155,541,601,210,559,340,612,362,379,430,259,759,
638,562,402,314,598,908,560,900,486,444,033,695,605,247,967,735,102,334,610,
717,595,495,011,997,314,218,020,644,503,830,453,232,412,102,131,459,070,671,
272,343,100,878,490,192,463,328,424,878,665,411,808,670,588,916,306,762,116,
928,111,495,058,956,108,135,310,584,536,548,325,866,805,082,392,796,941,358,
130,890,751,602,185,888,071,956,541,035,660,870,528,972,414,481,701,803,147,
870,178,257,552,729,729,396,114,184,520,029,534,302,019,832,033,839,413,018,
033,999,653,526,507,605,071,931,438,072,045,961,779,208,619,695,729,087,979,
748,382,192,171,395,696,232,851,845,883,416,985,223,588,122,539,946,835,816,
980,548,729,862,760,591,494,757,751,719,104,371,690,073,259,245,791,126,451,
620,373,801,959,307,154,937,761,528,048,565,338,195,096,405,751,891,592,789,
720,531,575,736,410,168,149,326,033,514,305,741,079,692,804,847,571,180,889,
656,919,515,299,789,457,706,846,108,447,389,833,131,930,511,401,754,112,693,
753,497,535,419,785,505,031,504,310,099,659,665,576,187,245,011,317,786,532,
668,460,992,666,668,297,224,411,293,098,278,579,401,311,524,811,054,432,289,
275,675,638,409,688,793,815,996,828,323,729,738,333,211,609,595,647,812,435,
869,911,303,365,005,309,861,069,460,314,129,117,922,390,304,033,893,156,707,
930,196,414,153,089,861,549,198,467,475,822,863,329,967,990,847,895,760,118,
559,504,907,596,911,168,292,863,818,562,410,314,722,970,543,872,968,358,236,
517,650,276,469,262,303,810,836,572,030,164,245,686,647,209,142,409,566,987,
333,798,305,205,354,982,177,285,894,376,606,262,120,758,638,054,933,045,766,
774,370,299,462,259,417,482,373,317,186,533,410,748,966,313,462,885,389,283,
251,838,668,446,892,770,366,506,182,666,983,393,328,055,911,117,361,048,103,
065,379,972,846,392,221,656,714,903,055,638,860,614,493,202,735,138,054,180,
242,570,554,710,219,005,715,233,037,423,928,683,466,762,436,921,260,009,048,
933,361,323,674,202,130,181,546,156,838,304,960,617,969,412,455,166,183,926,
369,717,081,388,861,419,084,895,016,917,152,304,329,608,908,904,741,372,049,
221,354,336,352,501,311,868,371,159,861,182,887,198,079,215,775,778,198,469,
805,576,619,272,337,644,376,501,105,549,892,824,968,937,631,118,489,638,133,
233,571,280,029,598,024,188,484,717,241,034,995,595,130,602,813,200,051,463,
124,713,363,709,195,078,572,764,057,326,887,234,391,032,631,926,103,711,195,
127,586,891,772,522,910,127,407,207,683,708,608,322,091,926,140,000,006,123,
811,389,333,458,590,460,457,401,082,076,092,651,849,149,401,179,925,835,337,
341,030,059,528,521,672,338,471,909,354,006,993,353,599,670,815,341,137,505,
444,150,739,578,603,914,759,204,610,057,147,389,029,718,863,751,601,797,883,
353,496,142,583,989,015,247,082,805,991,877,298,651,797,944,467,120,018,075,
067,844,048,566,693,383,422,155,871,009,427,105,466,833,884,040,669,064,220,
394,205,107,948,745,899,479,931,717,409,218,943,539,338,616,595,035,511,287,
478,927,737,753,522,400,064,972,324,391,009,309,060,983,178,348,891,697,318,
369,563,328,000,000,186,465,168,916,690,121,321,731,123,963,396,313,181,265,
951,991,944,157,781,357,765,779,070,349,078,548,640,092,548,800,041,245,940,
104,559,401,509,951,487,235,675,442,442,283,312,088,889,008,808,514,437,523,
095,453,686,434,602,350,370,164,769,868,463,829,923,457,827,240,342,117,209,
266,193,169,774,455,222,994,118,498,986,818,715,389,854,012,927,465,340,748,
066,981,338,459,582,306,626,407,666,017,257,365,110,826,813,501,865,390,811,
431,600,713,892,270,307,883,530,302,408,766,587,936,718,126,328,957,353,921,
316,660,086,532,807,408,233,070,941,633,782,252,653,466,922,569,055,700,489,
371,981,825,023,219,298,534,266,443,987,345,331,911,821,981,197,351,618,661,
082,971,914,080,285,109,825,144,121,995,441,344,432,793,904,204,191,803,430,
366,088,396,678,621,336,026,053,081,904,937,179,779,570,131,713,961,142,387,
670,586,013,461,965,819,419,825,100,287,691,156,570,159,920,438,824,044,102,
631,095,829,083,817,197,305,060,241,957,953,215,425,667,072,387,232,738,461,
512,929,310,781,575,648,137,327,753,609,492,136,219,368,285,765,453,902,496,
442,470,473,102,891,698,055,717,932,016,914,215,295,711,726,849,611,163,049,
328,016,498,403,911,508,378,745,349,264,783,462,384,492,508,566,586,992,274,
431,832,391,726,607,335,971,136,238,321,565,877,637,145,673,373,358,010,283,
707,931,912,012,156,402,321,486,825,114,238,152,017,397,098,169,230,858,083,
951,377,168,761,122,636,551,184,669,374,939,165,188,003,142,129,182,854,013,
151,948,332,193,038,723,961,910,646,828,930,394,686,576,665,568,421,221,725,
452,983,567,860,996,606,411,762,325,977,551,510,422,476,848,816,495,023,491,
370,759,413,312,301,262,761,900,411,856,691,292,635,870,539,131,120,014,229,
825,899,236,667,247,606,018,472,604,350,845,899,421,909,719,350,773,129,099,
010,870,189,239,675,081,821,881,757,639,936,337,847,376,795,740,324,655,583,
078,312,346,367,409,298,986,176,489,352,216,682,512,778,753,512,825,334,294,
046,802,388,104,530,031,333,632,517,241,067,907,246,952,480,889,507,556,933,
778,481,265,253,249,217,304,621,909,421,923,073,854,902,923,712,992,144,194,
727,044,126,866,670,436,057,570,866,215,725,755,190,553,821,833,179,161,147,
817,894,677,169,637,664,882,879,943,457,547,649,815,367,713,029,544,327,787,
755,512,872,171,106,512,978,346,386,441,248,327,628,670,843,009,396,823,817,
541,132,478,286,036,037,813,507,719,795,821,816,159,647,652,519,891,597,041,
651,826,022,687,747,770,035,229,342,528,556,711,241,022,195,750,318,518,567,
048,143,912,861,602,424,869,136,341,228,243,863,990,610,863,396,440,854,259,
786,270,674,270,705,847,427,827,675,511,774,243,493,726,403,822,161,937,274,
116,976,569,728,444,703,371,073,381,769,183,890,280,517,908,760,616,007,872,
875,605,178,327,579,963,628,651,280,669,418,259,618,252,215,873,332,076,320,
435,387,529,605,202,933,545,391,067,378,350,651,662,736,641,083,823,226,566,
491,469,902,486,176,600,103,396,355,662,555,165,123,893,649,351,504,491,499,
046,916,231,699,578,083,045,993,112,573,315,222,619,951,338,080,145,784,161,
562,175,424,250,456,623,245,867,046,194,808,516,480,187,424,534,325,494,414,
609,432,439,765,740,522,740,849,609,106,506,265,526,266,224,807,355,530,004,
117,528,348,163,744,862,475,955,306,171,895,499,289,512,778,291,231,891,155,
364,921,819,813,566,449,943,671,126,543,304,254,711,435,635,538,505,209,460,
060,982,669,344,766,651,005,895,461,000,193,590,441,936,745,044,758,975,153,
043,706,267,341,869,441,178,163,773,828,827,968,582,860,440,348,499,518,148,
668,253,749,745,299,607,491,563,216,790,294,297,042,660,890,381,250,291,543,
088,846,682,483,695,193,310,688,887,731,328,308,386,946,225,945,831,992,702,
638,998,014,259,504,679,421,150,862,395,839,025,282,458,061,440,008,099,920,
905,610,103,806,095,506,426,878,882,332,137,829,236,412,395,990,762,358,272,
033,556,074,455,954,306,219,447,659,222,141,988,578,340,542,737,814,756,273,
497,514,184,130,817,292,455,399,707,779,773,360,717,783,944,371,320,808,991,
434,194,320,214,374,030,711,619,543,507,365,151,199,207,848,628,316,987,923,
456,741,107,057,443,588,240,004,028,109,625,429,994,733,854,183,051,451,227,
434,365,708,323,306,639,596,130,668,184,820,076,550,819,780,900,747,609,978,
609,065,523,277,896,319,067,355,627,994,453,172,930,824,794,753,277,483,873,
170,170,568,526,720,989,991,389,754,899,764,458,172,156,575,663,027,475,252,
238,072,925,197,557,807,051,566,449,817,592,900,383,075,292,019,163,341,714,
463,797,690,411,401,640,267,282,215,341,544,112,522,614,892,807,727,731,180,
833,591,004,794,712,656,871,126,989,411,581,204,222,830,727,354,365,326,420,
032,571,163,010,991,981,791,034,247,585,888,217,575,139,875,615,705,087,670,
827,535,538,528,054,226,314,882,487,173,392,011,811,382,246,896,195,354,088,
009,307,852,545,779,411,517,145,682,234,963,186,858,453,655,281,491,783,454,
972,868,954,497,376,943,163,700,116,015,169,650,946,036,408,102,404,148,596,
590,499,033,921,684,906,706,225,571,192,758,675,064,005,589,729,018,114,418,
274,815,382,116,817,417,020,173,199,495,721,921,972,772,074,587,447,809,470,
241,000,864,966,241,148,827,158,213,699,422,104,627,163,346,569,734,508,991,
080,103,380,853,508,760,046,864,938,810,235,394,055,378,521,461,428,614,474,
383,486,774,181,122,102,538,083,485,890,462,433,645,573,425,252,892,221,973,
899,441,185,037,762,838,247,295,682,609,071,792,277,965,933,707,380,822,582,
820,442,754,873,380,871,751,560,377,040,891,467,580,315,371,690,923,983,411,
053,299,645,987,521,022,080,039,006,713,259,562,110,920,731,216,797,429,809,
137,660,706,962,310,833,789,100,708,211,516,299,489,392,165,774,976,736,098,
392,218,096,850,273,879,424,745,907,699,923,263,243,530,851,106,182,109,739,
521,777,488,750,743,053,135,601,152,591,769,892,896,233,771,124,404,537,100,
712,198,188,476,398,600,069,656,515,038,383,908,008,742,336,090,670,852,078,
242,494,520,079,936,694,821,429,948,925,082,147,408,677,327,274,797,065,034,
924,799,928,481,207,577,807,432,069,390,331,896,448,820,975,437,740,299,004,
396,835,352,787,373,266,913,890,294,068,911,543,774,265,008,996,033,486,081,
442,171,123,353,760,254,624,651,591,561,975,772,230,638,675,685,885,077,994,
484,586,577,296,371,374,124,664,658,276,933,879,740,731,657,100,052,105,875,
008,926,642,991,833,588,708,028,692,785,020,215,542,116,350,697,902,218,037,
057,267,192,806,603,270,294,558,156,515,958,119,925,467,912,885,419,285,677,
158,096,848,973,032,482,058,657,836,547,241,024,272,360,138,556,732,951,267,
923,042,460,919,653,813,419,208,679,602,016,517,607,379,767,284,498,807,954,
235,707,800,576,128,677,335,904,559,204,673,579,454,228,841,939,237,088,511,
784,786,219,915,014,611,231,450,836,550,352,773,088,017,975,184,395,887,628,
278,977,337,169,828,065,499,686,347,017,915,097,210,012,473,268,587,696,678,
890,678,693,589,582,238,214,036,529,717,491,102,873,702,200,094,805,651,632,
408,129,151,029,132,415,228,250,372,681,607,506,127,198,145,182,315,510,441,
126,962,458,112,774,892,773,688,534,822,106,449,310,753,690,787,652,423,595,
943,708,428,312,083,882,256,818,918,223,934,203,212,220,861,184,191,937,580,
340,749,488,558,512,212,839,059,527,292,177,653,488,775,894,089,373,072,473,
827,534,874,784,581,007,324,393,325,357,649,973,811,660,048,589,511,661,256,
397,594,363,423,584,273,016,839,892,348,373,404,884,902,410,454,374,298,603,
493,424,410,064,769,322,821,779,610,681,377,921,359,828,424,463,158,086,091,
180,607,406,003,322,109,156,107,826,758,912,394,248,389,687,111,132,571,535,
020,174,722,378,112,941,194,618,279,291,776,641,373,541,697,198,162,350,314,
766,296,724,020,057,386,732,967,191,278,653,347,164,906,341,633,171,321,523,
861,863,599,724,362,287,961,279,383,644,517,205,492,294,405,168,831,290,633,
697,260,288,920,404,964,020,943,860,312,180,639,234,918,512,298,563,447,173,
674,167,984,999,429,179,036,487,799,544,763,813,461,734,753,983,824,285,919,
085,781,003,584,319,752,512,931,270,164,261,994,034,353,647,152,761,388,594,
813,095,311,380,476,436,007,546,421,731,029,265,580,770,609,250,650,659,218,
918,533,962,024,038,080,098,222,765,748,531,242,596,958,723,808,541,419,477,
429,431,917,232,615,176,629,180,482,012,753,236,210,375,772,417,589,439,246,
959,853,459,767,055,829,833,526,661,082,046,833,847,777,658,272,524,492,299,
893,838,574,657,731,200,112,536,363,892,604,433,041,168,056,832,727,670,287,
102,927,663,907,828,564,807,730,018,096,058,627,114,803,877,154,525,883,588,
011,196,069,000,703,156,229,551,948,163,127,935,876,066,046,426,911,770,027,
464,440,308,326,733,138,478,889,435,458,838,516,784,676,135,597,347,567,090,
630,395,609,485,600,486,405,517,167,757,021,921,540,216,304,356,714,970,913,
419,727,088,069,428,701,549,143,865,588,599,034,442,992,546,634,683,163,610,
793,466,851,894,253,991,202,012,101,358,983,410,270,017,625,118,992,869,859,
060,312,505,562,178,985,420,586,851,067,358,585,602,865,851,610,480,278,080,
312,157,657,804,520,004,297,085,692,455,478,244,762,347,846,072,362,513,979,
739,048,337,852,281,315,000,403,464,621,133,904,322,666,123,898,335,482,114,
196,487,117,407,415,546,142,513,707,503,862,161,746,559,349,014,919,449,180,
490,307,360,918,679,693,036,840,345,000,252,631,233,901,529,872,139,719,570,
380,251,186,107,706,303,811,907,774,772,918,338,651,504,125,653,998,497,510,
004,996,089,489,685,747,714,640,366,237,367,014,818,316,277,273,680,193,114,
738,981,785,134,609,404,328,570,819,465,261,286,527,234,491,724,148,489,025,
915,681,616,372,732,669,402,134,833,246,243,078,977,484,952,599,144,687,644,
215,309,389,390,988,622,116,227,203,329,390,162,732,912,764,428,590,692,855,
738,896,877,231,409,128,377,537,512,834,357,859,262,846,683,759,531,924,853,
935,507,692,013,856,650,096,126,223,912,929,948,042,563,597,533,942,337,503,
494,997,640,499,514,198,869,996,917,808,857,472,603,770,995,875,242,402,661,
354,399,128,494,676,837,296,419,076,611,103,028,765,176,106,217,288,651,688,
456,510,562,782,716,396,730,107,424,594,468,852,295,143,733,866,791,212,963,
589,995,337,284,679,928,995,410,954,232,479,395,803,732,512,533,558,458,857,
390,727,212,839,599,718,949,012,156,390,737,403,466,102,354,469,664,238,090,
364,698,902,410,192,192,612,528,447,548,469,188,628,788,893,597,143,360,453,
722,021,826,222,639,769,564,011,272,933,943,293,650,666,976,749,927,081,697,
110,110,369,145,495,632,810,736,431,051,446,261,353,991,368,248,003,985,293,
728,076,050,403,086,791,759,685,986,469,799,267,368,895,614,795,693,904,409,
467,994,523,164,383,849,364,368,496,627,442,625,199,932,437,056,628,570,923,
595,717,835,443,972,748,788,807,862,080,570,262,058,100,462,371,958,568,916,
239,408,481,271,709,576,609,641,139,066,989,986,478,346,257,041,879,274,235,
966,615,785,632,376,375,048,298,490,054,096,993,237,456,625,370,731,499,510,
175,206,988,690,143,944,145,012,808,904,230,790,124,708,630,677,805,300,181,
318,338,357,214,054,210,950,717,921,349,974,314,597,656,285,264,586,204,275,
658,105,068,364,767,773,872,807,349,209,443,998,314,681,397,809,929,314,601,
340,325,344,860,417,616,742,915,055,830,453,926,538,925,460,822,162,650,004,
942,990,949,367,578,617,549,581,227,890,080,815,271,684,215,435,582,401,832,
189,678,389,500,312,463,357,926,014,336,445,538,602,239,359,790,125,690,684,
359,675,657,937,015,986,128,379,424,808,218,587,939,225,332,433,638,389,997,
413,632,216,902,113,786,618,174,907,191,220,977,296,711,833,177,963,537,868,
726,183,868,099,762,567,962,250,218,541,633,171,292,196,955,675,314,569,653,
479,748,058,741,218,382,113,284,545,823,403,168,051,152,658,579,892,548,217,
843,273,304,954,001,646,825,424,621,103,932,397,223,219,840,946,020,372,879,
848,239,862,165,942,461,035,999,018,948,140,988,609,409,367,508,790,351,527,
472,947,716,499,232,228,232,981,299,918,902,776,676,751,361,563,620,592,500,
041,743,459,516,254,615,890,964,473,230,373,565,051,979,336,788,613,498,642,
174,435,028,896,453,791,926,563,428,285,941,140,261,673,170,191,866,877,525,
603,371,061,713,459,969,605,757,628,401,520,362,979,014,812,221,006,928,220,
143,661,960,228,109,659,501,224,308,427,901,919,172,002,590,402,334,891,627,
288,536,348,089,448,742,254,368,054,831,971,299,217,730,755,533,382,902,643,
357,928,752,549,553,691,606,996,489,489,123,807,215,863,084,654,439,604,100,
802,191,070,396,798,283,037,219,961,825,956,160,581,852,053,008,099,138,887,
609,526,231,191,485,358,295,211,195,799,552,363,528,996,869,404,973,358,831,
722,662,178,276,859,590,408,172,062,368,453,863,443,703,144,081,799,955,875,
017,942,204,316,240,508,325,796,245,321,898,511,330,126,419,886,094,184,307,
574,473,827,886,567,065,071,174,133,621,605,682,387,554,679,171,090,662,798,
819,989,054,835,751,062,877,858,996,598,147,765,774,030,906,337,444,878,995,
729,297,940,310,095,908,442,167,035,866,285,424,387,514,525,602,625,044,759,
791,198,511,832,369,232,028,835,165,998,958,671,229,171,314,086,275,271,825,
125,440,561,350,666,281,604,367,058,735,914,193,442,332,499,051,952,277,731,
625,129,099,293,199,856,152,541,190,013,258,308,059,418,509,647,782,069,392,
746,800,347,850,407,208,183,372,723,076,771,764,156,461,202,594,117,594,529,
841,317,129,221,312,283,591,813,790,957,617,617,036,771,543,185,250,634,656,
743,634,081,129,909,943,316,747,606,968,161,740,562,256,377,762,817,439,697,
000,430,498,707,454,131,018,370,532,919,977,502,543,499,340,063,288,170,628,
672,190,637,588,978,725,042,890,928,106,955,701,378,062,494,383,909,554,668,
118,210,884,155,970,406,512,738,541,390,650,575,234,437,179,741,864,837,924,
256,470,359,897,050,005,138,336,858,688,161,537,327,597,638,576,379,977,796,
032,400,669,524,216,125,933,143,158,378,340,670,434,090,166,054,385,092,552,
094,614,583,381,337,237,931,853,221,936,175,205,246,750,887,101,761,275,115,
362,461,056,959,238,005,462,111,994,451,061,324,205,691,973,743,704,912,749,
105,791,647,755,886,537,651,734,517,784,473,328,260,727,669,126,460,964,853,
250,624,802,292,857,063,284,925,030,280,280,128,650,205,538,165,854,478,169,
823,455,932,707,179,787,494,659,363,311,022,841,466,109,162,495,468,301,592,
014,061,837,698,413,983,088,470,747,398,487,947,835,777,503,396,744,535,005,
367,281,675,162,865,366,015,668,471,083,682,767,365,286,943,553,742,767,681,
745,918,163,226,746,592,921,871,940,236,563,947,803,753,739,195,857,703,155,
629,753,383,553,729,926,521,678,100,987,953,274,562,376,901,536,593,493,928,
372,948,059,988,853,295,732,431,519,600,558,169,223,903,153,292,531,788,812,
660,660,147,934,862,624,330,288,666,713,701,560,403,220,852,383,673,805,624,
189,998,388,701,674,364,465,724,533,176,909,586,481,273,627,339,358,625,294,
007,430,093,427,413,512,190,804,015,868,251,704,764,901,914,668,446,909,732,
456,824,295,975,848,693,523,762,964,179,612,630,167,100,887,648,876,342,850,
402,415,682,099,471,335,686,207,559,385,188,929,970,264,765,372,205,059,246,
653,599,917,951,534,118,591,631,359,397,941,345,129,500,824,326,385,566,606,
571,891,694,290,011,845,843,020,390,287,815,669,969,589,453,285,742,955,891,
819,042,998,057,766,874,375,458,177,545,679,341,851,515,049,309,599,137,278,
122,078,947,499,996,962,425,318,452,877,863,950,585,326,185,245,149,480,245,
414,264,184,279,618,641,817,147,836,581,980,799,900,752,786,584,351,516,555,
997,563,349,703,530,211,237,652,124,850,757,596,443,758,300,439,039,207,962,
050,206,286,760,369,222,920,226,062,659,746,617,628,257,254,385,257,161,105,
299,904,190,066,360,342,575,246,037,340,432,769,122,011,722,928,756,591,135,
663,350,037,557,383,880,168,280,567,133,632,264,956,335,170,439,234,719,695,
024,439,804,460,663,122,422,144,357,586,397,430,208,447,939,153,308,122,182,
200,053,369,068,236,601,849,494,354,366,083,732,950,960,013,979,507,689,561,
135,061,488,192,633,026,870,712,057,304,535,689,352,601,766,579,126,079,431,
789,999,148,027,334,890,162,373,577,304,671,187,572,432,869,791,465,858,708,
371,941,778,620,260,102,483,022,480,497,150,061,868,630,261,176,734,686,324,
966,008,751,027,621,441,173,221,823,262,749,536,025,010,958,770,279,715,061,
585,423,441,389,215,612,083,837,467,551,604,463,990,432,581,170,707,374,881,
294,387,130,301,510,690,369,660,680,425,905,836,019,322,812,355,389,683,121,
389,946,876,174,054,211,168,230,830,526,921,177,076,301,169,646,431,393,996,
774,645,060,541,786,452,105,022,534,524,725,768,846,002,850,243,446,441,123,
459,141,902,254,934,403,511,766,860,312,117,032,799,346,540,490,099,995,968,
093,573,466,308,040,107,155,599,833,461,342,246,474,735,863,590,873,833,547,
634,550,458,163,394,051,427,619,489,205,406,728,736,634,332,956,107,473,030,
534,768,292,698,500,774,980,681,095,779,071,947,658,660,769,643,063,626,078,
930,287,704,323,848,813,048,712,698,206,134,780,901,945,873,525,060,360,938,
169,180,878,614,189,721,784,605,397,542,307,403,759,070,116,734,799,214,062,
244,892,079,338,599,536,217,946,167,870,049,270,828,985,742,349,568,416,614,
297,003,352,038,152,762,151,083,699,771,951,210,843,366,356,215,150,878,951,
111,069,742,118,873,966,514,496,426,035,516,190,905,376,495,983,260,111,248,
029,466,217,072,019,661,793,341,431,808,432,439,452,248,445,912,288,146,356,
417,434,501,822,473,380,958,645,794,045,678,893,536,049,563,537,560,002,599,
846,163,301,074,035,560,737,428,539,362,681,451,259,572,450,965,581,926,250,
174,774,484,574,783,564,416,586,338,115,476,114,114,831,918,619,517,399,637,
734,172,853,240,349,857,145,385,831,778,507,740,554,377,162,887,946,537,318,
537,313,646,852,433,953,308,971,221,253,372,613,014,575,476,912,779,781,481,
888,109,807,975,800,508,411,458,032,097,381,949,420,689,569,406,739,916,065,
665,349,871,492,134,022,124,364,508,984,675,475,463,021,688,963,791,400,893,
005,779,909,138,249,076,887,189,949,733,749,547,878,729,907,790,386,988,433,
709,541,238,520,618,016,450,682,117,797,031,754,796,450,819,761,279,009,741,
734,084,220,988,358,935,639,647,203,387,106,899,860,969,437,520,361,963,491,
236,188,450,210,852,870,630,125,711,398,053,267,397,946,456,425,939,696,967,
267,832,638,383,115,265,500,051,112,166,076,304,453,652,125,060,486,395,624,
281,837,160,854,739,520,683,923,637,711,798,079,865,304,832,023,642,265,736,
462,426,267,875,047,734,038,158,069,933,521,297,619,380,628,461,977,416,580,
233,053,275,789,607,287,568,424,510,578,498,028,635,124,651,670,540,244,346,
939,441,753,052,190,130,403,922,100,752,838,989,571,418,615,319,717,365,953,
747,688,293,389,944,072,683,379,023,253,112,040,301,858,370,912,380,811,414,
022,998,801,279,866,723,387,405,643,137,474,391,231,636,417,115,735,068,049,
083,488,497,489,216,939,152,274,281,730,788,555,686,384,753,911,467,077,326,
387,899,068,931,198,016,475,953,745,338,704,675,926,322,036,465,895,165,265,
761,289,885,314,120,548,803,040,087,146,269,970,882,931,806,624,426,703,206,
119,157,024,548,076,605,601,886,461,530,877,315,815,822,503,734,791,757,488,
067,841,145,285,849,285,386,123,667,048,893,965,254,516,995,743,963,865,351,
376,023,688,890,604,110,372,858,278,241,375,841,641,151,257,942,791,136,027,
303,992,124,010,966,086,031,110,685,858,301,894,402,381,526,650,543,035,902,
752,376,778,450,997,903,426,699,800,281,645,799,525,908,496,845,259,355,905,
713,885,071,604,610,538,674,954,729,682,267,397,275,831,995,795,267,419,726,
140,239,590,355,342,668,506,600,687,656,503,912,542,761,319,161,018,785,425,
261,143,212,958,784,949,234,440,204,029,191,130,315,466,989,957,129,817,117,
625,229,711,686,796,972,313,866,272,958,338,239,832,194,898,181,965,175,916,
699,385,886,975,130,934,793,686,193,050,048,821,789,594,487,106,777,490,264,
657,189,504,964,455,334,396,560,339,374,824,891,272,801,554,414,456,963,574,
413,139,760,532,918,379,202,209,002,405,427,792,042,110,539,540,644,958,328,
723,994,593,656,178,910,532,613,713,811,064,009,420,930,448,235,097,582,981,
682,127,871,317,582,898,869,260,838,056,660,381,946,359,449,398,471,499,821,
621,288,225,030,975,014,353,815,249,805,158,150,966,060,254,107,697,379,150,
184,371,725,901,546,446,484,000,976,792,092,350,459,183,736,266,141,536,663,
004,445,658,212,226,724,621,418,419,899,040,915,373,186,142,332,815,757,090,
209,835,406,666,273,392,775,235,529,070,316,880,642,523,282,536,737,725,696,
677,523,450,383,355,723,161,958,603,468,057,906,726,893,297,810,656,983,064,
979,564,750,792,330,834,980,762,133,148,283,817,048,355,378,973,235,120,822,
156,508,553,116,858,259,655,065,910,576,693,122,478,206,667,248,890,759,799,
043,411,049,688,002,106,773,558,967,114,142,675,363,357,135,427,843,088,487,
489,726,681,758,476,312,750,744,421,877,613,061,810,495,019,326,361,119,132,
606,648,763,606,702,568,477,847,845,139,492,052,088,617,902,155,144,799,747,
289,916,114,119,606,894,002,305,752,491,504,231,688,043,266,402,801,723,068,
560,322,888,907,712,034,443,225,427,153,228,979,580,118,019,392,141,353,316,
333,483,730,862,049,989,678,730,168,222,717,077,610,168,361,005,955,771,612,
171,494,704,947,013,797,169,051,570,794,150,199,120,165,880,635,857,621,919,
904,156,969,746,402,730,481,324,163,367,202,040,287,726,158,622,592,880,155,
620,256,442,622,410,740,595,711,931,775,178,148,110,906,002,692,694,647,911,
202,184,525,013,688,979,982,873,325,420,829,793,417,393,377,068,946,861,101,
241,931,518,245,644,205,751,959,011,367,119,454,464,877,534,244,477,210,582,
435,362,630,752,527,693,695,545,801,437,203,229,875,197,626,380,078,625,212,
477,169,735,165,883,289,544,742,040,955,864,844,703,701,633,038,955,286,216,
946,290,264,274,717,049,257,735,379,439,603,948,191,886,645,228,018,184,521,
504,909,110,829,619,594,337,732,730,602,280,326,402,913,202,448,984,822,301,
992,313,656,940,840,396,475,506,422,799,831,900,116,485,758,022,467,555,332,
489,522,711,544,281,777,921,189,329,117,239,214,159,612,591,363,395,986,101,
482,914,080,409,016,653,793,694,191,655,452,273,585,404,745,917,227,691,301,
166,522,866,292,365,495,982,491,995,073,687,880,088,731,356,420,268,324,833,
453,831,362,296,754,125,663,606,618,899,066,589,191,629,568,768,601,214,205,
325,574,536,862,067,762,714,319,231,716,505,606,669,452,425,399,374,704,552,
875,439,237,706,853,609,537,571,329,591,805,876,141,254,375,520,040,727,260,
250,611,060,204,844,023,873,441,241,683,066,998,629,918,055,521,067,421,525,
808,315,670,006,031,278,124,693,768,499,791,216,384,437,900,928,962,852,218,
215,744,619,293,500,110,659,690,622,783,680,417,250,219,772,027,561,382,233,
742,707,738,370,592,390,839,200,757,834,341,961,929,330,623,160,711,756,840,
260,088,404,216,123,195,635,061,266,245,385,195,593,907,377,721,071,791,980,
185,141,245,672,206,598,622,059,638,357,652,877,572,325,077,876,888,675,178,
777,945,607,858,529,470,375,105,690,860,223,816,610,919,276,706,242,919,089,
261,036,158,272,586,515,605,460,773,222,575,742,126,885,220,596,643,776,861,
863,256,538,780,932,829,251,727,870,050,766,140,890,773,190,685,553,870,793,
425,858,780,034,735,802,709,331,368,767,117,160,813,160,528,670,990,234,519,
826,958,344,078,806,120,856,979,446,411,802,620,509,593,983,712,934,936,305,
819,853,270,857,459,141,345,355,737,160,916,912,312,585,368,974,552,328,524,
975,002,311,218,985,974,881,917,541,605,908,309,621,753,519,315,653,133,762,
490,515,823,158,908,609,280,682,951,077,416,598,877,894,199,990,774,540,801,
875,031,711,322,291,733,145,671,104,101,525,988,977,006,459,551,711,589,448,
159,340,489,048,043,692,900,913,817,393,898,850,144,769,240,576,544,085,590,
638,095,419,183,706,124,164,935,107,532,347,683,875,766,939,225,528,196,879,
479,347,804,917,664,497,697,433,849,858,309,667,058,170,235,026,361,440,179,
500,061,737,340,442,876,560,778,860,992,998,001,948,093,298,144,048,270,625,
843,523,876,198,060,632,329,412,522,761,262,229,331,407,572,339,480,237,520,
764,896,852,338,823,749,421,540,467,242,338,632,323,137,425,686,219,777,430,
813,330,012,944,615,957,771,925,619,174,194,438,249,942,413,481,721,584,417,
299,812,866,311,089,509,767,047,870,189,305,702,807,564,137,418,226,907,145,
649,548,542,663,261,722,061,571,578,401,446,722,080,698,232,145,683,008,436,
057,928,020,088,426,085,147,375,276,399,196,775,302,171,900,645,584,930,904,
396,916,011,603,501,101,749,433,649,590,553,966,486,481,989,553,191,988,861,
912,222,962,061,930,153,714,921,892,983,248,218,261,556,280,212,275,029,586,
707,550,728,869,666,238,677,435,956,275,780,674,738,107,110,324,106,410,534,
784,066,516,292,605,637,422,073,495,390,974,919,766,319,869,656,584,108,572,
697,122,152,010,074,577,081,333,393,807,217,269,187,630,544,704,145,186,439,
781,866,952,287,016,996,955,828,351,185,802,269,720,081,265,086,954,808,647,
184,188,355,510,468,445,290,019,515,793,669,532,714,786,226,001,743,908,048,
664,448,304,739,845,181,602,368,531,369,780,947,146,035,651,125,129,132,454,
960,175,150,267,895,900,207,501,721,410,648,147,282,675,052,645,543,879,597,
647,258,347,500,145,569,748,097,894,654,792,495,626,665,958,517,421,593,832,
660,066,514,150,134,920,598,555,915,107,207,696,561,503,007,484,375,011,178,
041,034,384,877,081,387,039,105,572,118,104,829,703,563,159,700,385,113,316,
210,549,941,998,956,295,625,833,342,317,454,200,455,061,771,447,852,052,995,
453,307,367,806,339,004,933,587,627,053,650,167,664,154,236,421,636,469,203,
493,520,217,022,795,772,327,688,325,001,706,048,795,195,280,915,071,905,009,
111,656,966,122,687,939,146,211,521,556,990,125,748,470,382,558,776,084,279,
623,458,556,551,750,598,289,783,589,064,613,040,718,558,247,935,656,157,052,
085,469,391,242,286,606,077,517,537,571,062,651,364,234,221,639,423,196,216,
405,610,684,876,363,078,700,503,996,012,897,839,062,318,559,663,527,871,310,
648,810,644,618,304,096,345,135,119,064,381,919,050,251,375,189,021,986,241,
637,096,069,218,093,970,636,217,160,224,892,301,601,227,166,947,821,435,739,
870,827,862,528,764,856,087,192,006,989,789,622,034,924,804,797,928,370,681,
353,616,302,556,854,819,753,369,442,585,125,407,096,758,617,729,233,714,491,
437,005,487,844,714,529,223,662,145,665,577,264,062,617,619,460,454,155,463,
027,252,412,758,666,411,587,720,015,651,939,961,033,815,340,870,920,303,494,
812,118,849,384,899,309,114,946,806,884,578,934,531,609,676,639,298,295,370,
446,787,631,705,910,118,916,958,892,578,674,300,161,556,505,352,210,883,218,
555,581,860,772,056,006,226,323,632,062,295,281,445,526,281,752,050,322,166,
252,451,154,442,572,173,235,285,953,556,672,416,975,991,545,139,454,261,071,
552,305,067,634,829,179,054,390,235,669,228,001,022,337,241,045,860,438,699,
074,834,298,813,782,775,695,410,378,881,068,806,619,772,472,975,910,567,691,
447,395,363,486,316,290,502,495,175,334,602,194,388,694,138,026,761,470,736,
357,796,087,542,001,229,508,065,813,169,927,309,723,632,256,755,273,184,204,
220,193,951,785,839,026,829,750,005,812,643,486,116,620,427,732,769,790,969,
497,886,122,404,393,425,880,236,489,905,032,184,310,824,909,154,664,821,591,
997,236,911,680,621,352,473,349,733,816,713,586,858,634,340,783,887,100,181,
714,036,858,497,979,880,600,886,732,747,054,913,734,462,809,988,321,116,764,
362,354,408,297,354,046,921,567,605,532,952,415,377,736,766,997,426,542,204,
489,429,391,485,287,201,560,856,870,708,331,225,231,272,788,206,738,993,867,
177,099,584,910,819,293,621,731,888,637,139,405,960,523,652,032,511,407,189,
362,715,830,795,919,910,727,745,856,187,525,451,194,204,127,055,456,189,762,
243,691,248,549,620,727,451,241,924,028,969,766,508,262,102,576,706,859,982,
413,821,517,708,530,753,680,865,234,262,164,774,671,683,879,532,897,345,385,
995,860,074,039,292,334,744,509,417,575,587,057,063,152,940,931,423,539,618,
505,869,778,585,091,482,739,050,043,183,269,346,135,913,175,632,156,236,304,
587,537,957,900,647,466,171,263,734,315,633,758,965,542,425,340,024,240,900,
837,234,735,888,387,441,985,285,730,225,215,592,023,158,180,847,303,788,224,
332,853,247,989,224,284,738,688,378,173,453,724,630,144,565,302,142,957,342,
287,633,130,576,669,000,255,333,066,496,623,253,784,497,840,126,665,180,596,
263,816,440,898,455,432,920,121,032,813,215,991,785,070,812,555,957,977,821,
573,880,356,945,379,135,334,292,498,110,699,819,540,577,749,313,299,653,040,
121,105,841,390,127,963,141,416,733,374,423,104,429,221,115,919,832,866,507,
031,690,856,635,768,983,220,324,705,528,268,542,174,890,085,159,158,005,557,
381,951,881,846,093,045,857,890,382,282,642,182,976,206,191,658,404,177,628,
560,832,845,355,660,694,204,089,754,580,779,227,671,919,991,437,016,577,597,
183,189,135,148,565,930,072,588,536,490,446,598,887,575,014,426,373,317,143,
523,329,536,245,850,428,001,150,219,969,031,042,253,975,933,046,313,134,963,
508,524,126,136,046,395,264,911,157,099,227,326,988,542,004,780,674,104,052,
774,920,452,637,650,959,294,720,186,822,642,295,084,032,838,217,059,848,255,
355,526,352,979,165,196,110,273,435,518,932,639,105,707,413,867,505,214,626,
032,679,182,064,063,350,638,613,730,369,876,626,815,236,324,504,676,879,681,
000,405,568,091,797,517,132,144,555,376,767,851,482,043,381,657,083,350,673,
692,489,970,369,846,519,856,779,789,716,120,225,415,825,137,984,470,723,757,
942,571,453,367,582,907,097,894,338,245,962,412,950,017,500,947,353,954,469,
161,879,069,613,230,374,892,501,454,664,622,129,383,024,486,869,391,127,196,
234,831,261,247,942,818,347,301,301,827,035,045,795,074,960,979,783,672,362,
128,518,016,509,976,715,857,966,245,494,446,081,832,787,856,435,946,945,406,
597,937,718,120,218,638,312,502,218,806,634,409,887,925,490,295,050,304,942,
957,125,705,327,403,575,289,366,586,493,567,983,881,929,866,954,360,525,323,
009,320,223,544,093,962,306,704,141,127,913,845,975,025,395,570,843,379,995,
358,767,726,507,621,983,310,079,608,535,002,526,200,447,940,363,766,989,253,
733,476,722,722,313,912,010,635,776,059,655,417,355,547,781,355,433,247,208,
367,188,472,531,413,150,306,542,529,142,659,845,231,616,466,315,832,687,725,
628,621,669,683,966,819,739,376,577,461,748,273,316,166,685,864,790,714,122,
214,421,052,805,331,372,288,230,841,567,184,462,887,664,731,330,718,244,462,
688,796,486,577,541,669,455,051,300,030,396,840,698,169,576,568,231,795,643,
113,712,561,297,902,940,844,082,639,818,118,839,845,133,509,974,836,878,972,
786,720,995,170,496,080,276,356,723,062,006,987,917,595,943,993,044,578,053,
002,835,445,138,603,766,520,190,802,712,989,934,232,636,360,523,625,195,119,
846,140,717,589,742,740,649,954,737,617,199,187,081,415,281,023,374,312,618,
827,339,657,113,445,111,872,111,087,714,115,271,757,685,540,844,854,206,539,
803,922,950,482,343,614,694,269,555,993,233,098,060,888,603,448,217,943,713,
868,181,348,914,971,018,384,274,487,129,303,392,209,894,444,607,517,035,001,
452,407,949,302,983,118,131,005,685,163,202,366,116,152,479,982,879,496,942,
082,688,969,993,602,932,410,495,187,456,619,437,830,884,858,252,426,064,351,
717,764,855,876,794,989,279,623,955,890,071,126,384,637,542,545,793,903,636,
517,880,284,711,200,576,233,815,142,421,458,360,769,410,935,035,388,358,212,
474,464,780,344,033,311,744,579,571,948,685,966,371,130,140,178,338,249,448,
290,579,155,055,892,494,197,935,285,251,705,574,558,333,307,324,031,184,630,
017,697,415,021,553,890,245,720,550,174,331,713,353,370,170,437,067,707,987,
826,219,018,372,070,774,961,228,890,510,779,320,554,033,396,500,740,275,089,
840,817,549,458,514,561,402,625,120,326,999,192,910,829,533,041,017,378,244,
763,556,508,189,947,051,968,983,736,041,663,581,859,305,195,478,580,926,836,
249,441,916,151,057,462,143,864,715,954,408,918,094,875,736,953,955,393,394,
819,630,285,018,132,520,949,860,029,344,107,334,795,533,003,430,461,453,083,
165,030,515,107,256,043,081,611,239,758,637,842,416,195,967,413,663,325,407,
748,254,298,986,755,980,996,624,252,817,415,739,031,258,258,924,675,802,721,
614,823,330,541,648,866,948,823,994,925,295,681,740,431,130,342,858,436,723,
024,298,427,674,595,665,646,565,664,885,990,876,220,316,349,041,345,997,997,
897,380,667,486,795,964,441,896,715,155,125,390,381,817,279,259,873,649,708,
345,093,343,016,846,687,639,016,042,702,113,346,120,138,722,097,117,064,170,
436,011,351,266,454,826,396,598,341,683,927,354,403,633,568,336,474,843,457,
255,323,473,345,231,965,017,089,534,739,773,746,964,935,375,164,058,179,166,
342,799,739,470,770,737,844,490,986,623,145,432,695,942,829,723,978,275,491,
280,220,070,768,973,449,602,685,163,787,806,092,910,583,441,477,665,689,468,
958,259,854,564,647,820,118,286,041,821,147,537,618,163,272,398,544,624,964,
145,310,074,364,987,879,537,241,674,749,816,615,797,760,459,890,096,359,171,
243,522,491,996,298,331,019,643,643,937,547,206,604,555,459,229,485,443,617,
301,030,059,168,777,854,394,964,584,262,123,321,523,998,082,751,817,273,725,
130,128,551,287,855,747,423,708,119,462,389,831,246,061,031,464,463,512,889,
118,603,409,083,735,495,814,785,025,338,795,400,326,119,312,794,650,544,721,
374,833,422,904,663,974,546,293,984,732,887,970,197,393,163,958,864,602,147,
967,328,502,345,379,531,615,472,295,222,292,246,647,379,748,012,439,933,980,
084,871,625,174,131,529,291,355,167,417,547,595,872,885,921,385,153,160,033,
994,817,662,339,653,207,138,767,875,940,893,641,476,794,933,154,602,864,377,
145,466,525,830,760,143,829,872,656,494,860,341,437,928,556,653,539,706,185,
838,201,387,079,700,586,375,809,794,398,149,936,468,473,542,134,760,154,997,
341,653,152,652,668,017,982,222,405,624,985,788,930,374,626,530,312,001,352,
055,196,480,158,060,064,253,596,508,065,028,713,425,789,613,648,374,408,723,
554,611,766,578,429,757,565,369,480,253,722,862,930,615,354,580,606,362,989,
198,695,301,659,422,643,466,634,853,462,681,296,802,641,255,094,451,331,030,
543,332,286,796,882,245,492,731,709,948,870,234,005,652,476,954,831,503,635,
923,356,030,441,961,016,078,695,099,596,479,152,799,828,596,730,603,962,124,
848,364,300,423,750,065,569,154,697,366,041,522,211,249,206,151,782,078,609,
772,141,478,072,763,882,745,202,971,421,321,392,259,898,166,069,791,095,050,
461,236,267,000,182,062,231,566,990,007,275,328,391,666,670,094,405,462,316,
939,774,786,026,969,932,550,767,338,317,294,850,021,228,650,370,482,454,836,
653,317,289,870,715,456,897,066,101,025,560,392,405,472,684,035,747,639,034,
455,041,477,672,165,493,832,304,335,615,518,159,306,319,319,374,756,410,992,
153,456,708,046,412,108,950,903,224,607,078,263,327,390,962,154,806,732,576,
811,462,684,462,609,653,950,451,808,448,127,617,693,010,925,310,717,331,102,
003,873,637,310,319,382,864,379,221,305,880,372,362,674,069,823,144,902,814,
948,496,870,432,295,414,192,440,481,209,940,679,867,124,761,088,995,707,840,
406,684,536,504,145,711,584,594,919,794,910,571,862,770,078,420,890,560,496,
539,785,888,893,336,122,281,643,514,789,161,302,684,250,327,901,670,895,630,
669,231,615,378,880,164,843,390,775,451,641,675,374,160,067,853,472,645,921,
581,572,019,969,547,732,441,734,834,049,893,868,720,269,823,678,278,746,032,
501,140,815,026,611,182,952,523,315,161,705,220,596,447,116,011,500,622,480,
615,484,057,547,289,914,549,307,769,378,618,500,480,984,361,560,650,168,846,
258,259,725,920,936,546,015,884,971,744,362,183,806,387,532,787,261,773,561,
572,073,632,979,924,492,991,901,077,235,557,738,027,256,641,494,725,858,452,
709,962,325,140,513,988,145,510,208,710,402,009,128,879,083,235,199,985,135,
005,447,672,760,809,561,715,468,103,921,911,317,521,806,492,814,183,485,649,
984,258,878,792,025,376,814,428,238,214,079,256,865,693,619,105,037,647,674,
305,894,632,707,284,667,582,016,921,081,869,036,159,022,391,772,808,400,877,
031,760,619,512,396,409,804,135,154,558,122,466,999,455,837,592,410,121,853,
224,092,789,212,920,229,294,600,750,581,428,833,992,711,827,828,859,087,285,
361,114,838,316,218,599,983,038,200,267,345,851,775,828,532,997,202,783,915,
093,496,563,087,412,845,342,127,747,665,931,795,837,888,689,837,618,421,581,
453,123,599,300,074,435,542,441,766,001,261,083,260,644,604,243,589,575,150,
087,909,164,359,183,059,803,559,244,698,655,864,212,558,269,178,668,741,198,
024,213,102,809,861,270,677,024,781,097,739,677,855,865,027,378,179,112,024,
523,271,552,025,330,494,445,304,142,223,850,429,866,525,499,950,773,221,442,
008,013,371,374,583,965,270,039,030,646,479,543,333,681,159,142,855,394,180,
882,227,813,546,750,426,247,272,247,793,645,849,382,186,775,201,101,644,260,
129,962,953,099,534,988,257,059,176,442,330,718,602,358,935,648,467,281,266,
849,301,829,938,770,340,515,943,303,677,526,613,587,415,431,282,224,310,633,
087,107,070,787,196,507,067,862,094,358,643,041,964,176,631,622,262,704,936,
406,006,093,425,216,091,143,249,385,562,021,875,957,981,593,157,058,670,216,
355,657,947,689,435,184,458,396,725,469,518,655,421,480,645,527,214,117,805,
609,086,150,268,199,948,530,855,008,267,647,756,961,842,127,498,609,156,282,
541,874,537,004,368,596,633,357,706,163,816,888,151,026,533,768,168,744,710,
769,888,337,533,741,278,641,381,325,166,125,820,851,193,191,534,743,663,654,
547,685,530,053,329,315,527,640,165,442,511,276,901,021,617,395,135,830,156,
086,578,677,636,724,062,758,516,651,184,341,396,412,764,456,593,634,080,544,
785,425,918,570,152,639,704,228,717,242,938,177,796,318,224,778,896,749,141,
904,171,718,153,057,610,248,407,921,846,700,804,064,824,672,067,374,038,411,
922,773,888,143,923,024,602,341,481,498,059,713,632,867,405,575,475,221,251,
446,939,395,818,979,009,930,942,632,302,556,481,176,202,623,150,688,880,401,
074,343,435,460,831,999,215,086,456,872,454,542,461,658,323,958,960,640,712,
111,247,276,732,788,506,690,230,101,904,981,235,892,756,436,923,103,584,856,
865,474,127,506,829,344,812,461,949,066,559,612,344,667,034,659,096,087,899,
863,532,804,227,565,917,126,821,980,478,664,364,206,609,041,712,648,644,457,
030,361,299,467,247,869,692,633,674,246,015,773,885,683,081,489,182,811,451,
316,132,880,694,279,248,378,838,494,940,214,664,126,660,989,743,856,168,584,
121,623,723,492,301,077,581,239,063,826,183,390,148,960,675,129,322,831,624,
490,236,093,841,291,695,155,478,552,443,637,724,375,566,569,612,613,851,614,
305,101,665,408,911,168,305,066,948,555,407,136,820,702,939,879,869,174,351,
702,670,039,675,479,966,492,576,180,172,256,057,378,927,469,643,562,852,767,
359,142,388,652,324,946,046,070,993,219,975,358,531,262,028,726,270,068,079,
235,790,766,508,319,321,279,697,357,661,548,534,653,861,807,009,995,284,503,
739,686,268,374,756,786,677,121,057,394,335,315,754,511,136,221,635,612,545,
654,167,232,673,291,861,954,066,096,919,676,514,144,841,386,042,696,865,564,
783,281,142,632,809,291,126,563,761,132,239,891,605,469,625,664,245,871,144,
467,537,847,682,590,301,763,984,031,422,048,410,419,017,609,834,467,019,038,
724,011,046,677,328,534,212,385,071,985,953,800,908,303,338,517,213,023,241,
155,515,253,779,984,491,976,876,996,591,114,571,468,865,764,326,872,045,040,
800,694,719,484,287,519,282,931,309,828,612,002,646,149,089,326,060,054,162,
939,728,022,592,900,109,652,836,732,517,495,563,899,697,506,165,969,270,637,
957,854,299,469,017,870,037,785,471,452,198,338,317,694,424,767,138,327,194,
363,302,733,624,254,893,612,130,341,619,730,158,016,895,943,852,456,827,937,
949,987,835,587,692,155,656,939,454,043,985,869,541,572,693,957,323,363,751,
199,548,630,631,298,219,561,420,587,266,420,753,182,126,832,628,221,244,732,
276,114,860,405,807,564,273,827,366,046,777,589,217,254,532,241,828,255,429,
304,141,473,286,577,922,635,665,968,923,559,401,722,907,269,833,006,557,176,
215,978,094,785,510,557,002,891,315,440,110,064,166,700,425,170,333,446,825,
591,046,654,037,961,085,721,933,903,508,442,706,919,678,351,255,140,275,940,
013,760,216,355,873,066,722,870,237,750,156,607,252,563,537,558,822,230,185,
850,467,780,781,795,565,229,840,468,401,603,941,796,429,963,982,144,922,366,
848,112,551,207,775,647,654,774,897,338,359,414,083,840,263,766,567,708,444,
575,075,183,939,171,507,274,214,547,460,827,815,611,243,736,548,264,588,126,
331,993,824,134,607,802,586,269,964,496,413,624,317,546,437,305,262,629,034,
637,102,485,159,481,460,284,149,446,058,380,488,908,553,626,266,463,880,519,
923,902,187,778,100,871,003,793,448,606,105,690,257,983,235,923,877,263,936,
278,618,852,422,027,148,575,261,648,403,399,107,698,745,343,305,555,748,012,
637,690,292,063,169,950,002,333,429,228,495,628,034,167,361,630,335,386,543,
297,244,486,589,093,420,151,109,770,512,955,825,917,678,814,194,989,644,749,
582,815,686,969,500,162,009,226,433,241,041,629,480,502,672,373,000,332,716,
309,752,547,173,643,890,331,498,237,208,109,908,292,254,462,219,296,251,374,
887,042,655,605,352,879,310,782,978,909,061,991,771,290,335,523,285,857,290,
609,217,779,195,227,149,856,966,251,796,438,275,792,210,727,655,404,160,383,
074,279,596,837,134,542,104,397,745,119,602,791,730,060,489,213,339,707,291,
624,455,369,965,539,991,294,007,206,619,787,327,909,194,564,808,559,155,508,
829,379,182,064,912,059,395,455,913,249,087,537,720,119,251,791,415,466,218,
211,975,650,274,969,243,964,138,518,171,222,082,893,397,544,926,386,605,757,
185,832,344,571,744,559,749,265,323,024,200,713,134,695,438,220,852,042,213,
753,182,437,850,792,295,568,034,142,633,909,072,549,374,784,206,114,604,687,
331,736,776,856,304,601,621,699,173,348,326,264,925,165,643,272,573,808,167,
286,915,646,431,337,533,012,262,111,874,828,548,446,093,760,677,185,471,772,
799,805,729,343,057,201,069,908,393,926,746,724,692,055,590,325,027,247,439,
250,052,622,084,563,782,950,051,191,408,326,065,931,413,496,230,240,007,364,
287,051,843,023,018,154,228,021,530,415,554,707,345,150,554,681,409,927,244,
894,368,178,007,709,584,718,520,848,533,003,572,624,701,127,037,551,751,073,
088,845,745,366,585,761,800,658,174,392,530,169,872,548,364,676,161,618,773,
528,832,393,694,070,787,921,535,799,869,611,022,967,745,940,593,494,723,798,
550,645,813,543,330,876,012,506,869,064,737,003,849,429,389,154,714,209,864,
127,820,284,248,633,524,742,723,761,822,785,493,845,238,945,631,183,077,008,
140,343,407,504,892,697,491,054,813,999,792,940,950,768,876,936,148,954,717,
422,032,952,630,640,223,886,912,950,339,398,543,759,381,825,978,071,151,147,
563,076,967,873,171,818,838,913,468,549,312,742,850,882,786,458,391,465,389,
640,172,231,235,069,793,449,194,735,998,986,879,012,087,278,890,852,552,569,
367,384,330,873,843,428,618,147,867,054,326,016,131,548,745,563,177,112,269,
530,127,907,928,547,145,151,314,321,006,963,451,654,481,865,014,963,626,864,
118,972,289,754,264,361,803,520,006,866,805,880,214,158,915,828,070,536,809,
091,229,167,361,152,555,784,554,576,821,952,411,426,885,791,085,885,395,446,
747,062,790,898,935,944,182,592,567,823,042,635,639,883,266,495,342,116,574,
764,958,969,528,126,761,100,275,561,181,936,496,686,126,801,946,970,530,222,
809,758,188,024,003,753,224,945,244,900,792,334,147,849,986,776,763,124,237,
164,720,791,551,709,825,128,968,827,191,847,076,164,458,531,941,171,350,422,
255,914,650,309,373,811,900,872,967,833,813,623,228,170,251,185,329,054,125,
374,485,262,629,312,912,944,081,929,081,996,822,267,460,052,445,940,629,232,
672,308,188,102,955,608,847,139,565,114,746,449,162,987,998,569,041,550,767,
008,129,436,387,358,224,958,720,804,287,940,382,573,317,299,729,837,543,614,
148,911,554,383,638,084,916,607,994,932,247,749,385,164,604,139,509,635,028,
221,077,378,256,524,949,851,002,307,856,183,508,274,115,972,769,305,306,350,
545,986,621,133,655,863,323,162,564,041,667,339,294,097,780,650,574,469,138,
525,582,316,185,120,442,894,550,349,090,964,029,518,233,969,459,066,280,921,
485,036,683,220,414,910,773,857,914,740,140,090,578,492,789,590,466,345,864,
053,360,901,896,262,731,951,518,203,155,218,155,224,028,076,615,025,224,493,
460,206,829,381,342,013,559,055,664,825,919,425,220,517,847,722,264,026,674,
374,610,819,376,852,805,274,860,738,316,696,117,341,418,356,595,059,201,698,
730,342,972,687,657,316,274,249,812,161,144,437,355,392,359,115,684,921,189,
441,357,652,103,819,770,943,191,217,562,967,420,509,185,749,549,480,661,516,
888,173,881,768,043,171,784,123,252,614,282,141,998,303,647,713,947,933,823,
054,644,474,824,553,468,864,636,879,750,872,282,738,843,475,566,230,473,793,
679,096,106,537,566,879,356,724,168,609,731,862,861,154,782,708,143,064,835,
813,841,005,345,258,179,173,918,055,665,972,556,493,747,284,425,033,844,325,
114,221,912,270,878,889,362,309,383,182,129,188,146,897,384,905,480,345,785,
368,557,597,707,918,558,107,649,302,179,302,123,788,211,696,164,453,781,978,
271,900,592,922,345,956,166,151,511,546,770,929,731,718,552,213,717,969,967,
776,306,039,066,965,791,392,089,403,800,749,873,087,676,825,511,042,492,297,
924,709,346,245,206,068,625,089,414,602,115,544,059,398,514,309,118,400,549,
367,522,428,968,383,428,270,221,275,750,250,915,410,786,976,625,167,855,319,
610,245,269,174,038,706,035,633,130,138,590,380,795,572,131,525,890,803,531,
500,401,868,687,815,631,734,908,722,419,882,860,276,097,043,828,843,776,794,
360,042,722,892,083,462,110,609,580,771,561,715,436,697,249,815,091,845,058,
317,787,340,368,660,298,398,376,274,843,875,919,421,696,583,779,793,280,402,
303,641,709,240,897,678,701,938,167,761,487,865,624,135,708,868,879,459,014,
787,713,444,837,902,809,238,960,521,642,677,211,970,686,600,759,489,929,983,
721,259,539,261,505,612,254,086,779,975,440,981,398,254,213,681,647,668,978,
896,894,510,363,155,732,101,869,676,610,445,498,621,193,560,457,562,091,512,
464,571,529,230,361,490,599,959,586,602,579,374,254,078,012,817,832,008,085,
853,799,547,688,953,107,336,231,752,720,094,801,628,578,497,804,074,779,656,
483,488,455,711,347,320,765,268,622,527,634,215,643,467,245,964,560,834,031,
680,144,955,167,733,828,499,183,320,667,531,951,754,428,638,342,540,831,038,
741,057,914,157,690,321,546,720,969,099,370,779,299,607,527,181,696,883,108,
681,698,859,202,219,755,900,842,509,104,486,669,145,917,244,074,957,080,630,
269,103,896,266,439,425,723,471,657,078,388,088,019,009,107,115,577,932,522,
756,274,532,015,866,374,642,617,732,975,629,183,576,972,783,608,372,977,304,
367,649,157,558,342,129,318,046,016,754,074,792,718,910,206,734,574,096,476,
454,021,810,826,176,267,177,656,059,025,268,639,845,397,704,872,819,112,745,
015,619,336,816,405,484,258,644,122,683,743,540,209,645,254,003,771,154,250,
667,494,450,678,496,528,040,278,562,703,457,319,391,115,203,408,118,429,404,
858,220,335,309,603,908,834,639,739,118,479,073,302,776,681,539,696,508,964,
520,352,959,777,442,733,047,753,913,258,890,732,581,743,833,024,616,308,075,
346,107,747,149,726,636,738,165,090,938,036,707,542,333,086,119,592,984,331,
381,960,840,592,486,831,008,686,493,558,402,119,460,424,280,286,922,035,370,
905,828,834,684,953,499,532,819,077,045,764,532,766,405,728,630,656,456,023,
533,587,823,449,868,154,721,801,417,640,829,276,817,870,740,773,033,925,218,
659,196,125,748,515,251,670,817,715,074,254,160,407,831,847,076,069,137,970,
135,428,060,880,252,292,497,194,834,593,859,916,562,911,093,135,523,362,024,
125,677,388,069,512,953,714,388,011,480,162,521,598,317,989,005,915,892,046,
292,546,698,498,837,037,822,575,059,892,015,251,607,934,134,856,165,175,214,
001,826,328,375,139,166,989,608,118,928,378,022,406,936,662,749,497,103,978,
939,324,834,674,090,521,902,698,477,618,547,762,875,033,141,193,431,033,661,
925,172,455,393,220,262,200,542,446,626,639,243,027,869,582,934,211,202,866,
866,839,062,390,773,463,462,661,540,623,649,195,916,109,352,024,922,966,899,
773,670,896,876,571,387,380,523,770,594,052,560,935,993,475,056,251,417,239,
226,878,669,517,289,093,105,049,593,890,052,860,743,979,218,776,524,150,484,
893,658,845,956,307,091,227,865,101,841,768,205,433,113,923,258,183,601,413,
135,160,396,494,477,187,042,473,620,978,943,350,107,105,261,965,549,298,479,
815,191,338,604,939,336,937,574,576,878,524,499,662,805,657,066,701,389,619,
842,398,898,973,017,451,083,138,761,395,147,460,995,329,738,619,500,055,901,
634,722,478,075,586,753,339,785,905,620,324,650,327,221,413,520,500,281,585,
416,242,649,100,148,080,814,064,463,280,190,003,028,185,357,028,190,700,214,
655,025,271,933,442,820,339,595,963,112,884,760,926,215,890,175,368,988,546,
591,673,986,681,579,730,573,542,937,291,871,065,052,052,197,147,521,471,264,
562,603,106,894,193,887,360,753,345,606,566,876,238,366,482,334,996,081,818,
747,699,526,088,431,265,397,102,383,009,943,352,058,637,265,236,784,952,108,
929,643,258,435,907,461,658,858,751,069,510,197,320,188,747,018,288,119,986,
738,010,322,651,308,206,301,677,285,523,143,258,369,973,064,831,260,216,583,
078,384,967,569,168,539,398,287,245,308,056,230,134,611,436,265,998,562,780,
175,691,669,003,284,726,437,664,785,894,207,565,675,569,145,057,369,747,659,
195,588,901,907,425,140,206,383,910,968,829,568,253,327,426,634,437,341,969,
215,841,935,323,139,593,547,738,221,174,132,483,369,678,845,746,803,319,058,
098,627,052,939,823,246,128,271,160,693,703,914,579,835,425,251,581,619,830,
767,410,010,815,326,625,244,881,154,621,870,384,150,713,863,355,676,782,464,
189,714,373,734,800,666,571,683,416,290,213,413,713,671,543,921,286,749,273,
353,010,431,917,009,483,460,606,261,972,337,601,764,006,408,544,226,900,981,
138,474,440,934,415,255,599,456,629,221,456,584,406,441,349,407,975,813,749,
569,895,167,033,695,056,944,832,506,501,629,775,025,155,638,069,693,956,953,
747,268,141,149,264,607,911,296,010,629,339,875,030,579,791,251,630,935,682,
298,438,200,835,363,407,418,128,871,570,575,680,337,758,672,234,815,512,961,
264,399,560,858,751,510,511,892,981,834,815,530,939,753,858,341,795,381,755,
756,817,654,543,858,392,792,108,431,024,330,180,851,611,683,554,840,661,356,
826,268,698,264,286,585,563,683,412,063,867,830,026,987,520,227,970,703,593,
627,870,863,860,513,178,827,687,924,191,549,734,260,187,040,106,483,110,207,
089,963,048,152,351,752,109,686,844,875,626,747,735,794,293,646,123,846,060,
840,335,000,722,930,057,642,938,477,688,715,302,600,151,195,541,222,890,034,
048,720,474,172,351,719,132,461,140,920,472,961,593,185,980,121,195,876,891,
403,310,915,310,816,932,127,592,609,245,698,411,176,086,504,149,829,687,007,
017,220,368,461,545,206,532,648,661,923,387,569,398,577,332,529,346,759,740,
253,532,978,987,956,427,613,812,566,657,865,131,749,707,706,909,793,391,085,
703,275,933,560,648,146,900,514,010,964,453,436,751,781,605,852,590,643,637,
427,946,428,878,024,421,055,079,063,697,130,743,630,172,244,751,948,797,178,
020,271,101,485,138,429,995,394,716,554,743,123,358,283,840,516,626,731,581,
525,039,482,644,784,577,781,280,819,311,846,180,092,157,399,363,010,905,421,
201,676,687,581,186,519,798,649,944,449,714,045,161,848,561,480,446,421,599,
280,985,091,036,474,075,836,437,254,400,931,696,146,459,102,111,555,249,902,
489,646,357,399,321,501,434,742,838,578,488,137,893,939,448,453,763,439,243,
586,252,470,147,694,695,702,792,704,918,220,591,667,140,188,505,133,683,627,
907,729,114,724,390,764,028,146,193,634,457,996,313,728,009,482,516,684,686,
012,437,296,179,828,659,275,435,087,089,699,023,327,275,237,387,692,751,412,
238,631,942,265,286,464,941,645,722,554,641,899,009,724,241,113,941,263,112,
217,765,740,828,245,284,301,589,969,498,858,949,786,355,240,700,172,649,932,
351,314,051,628,525,139,295,333,169,062,248,143,213,824,959,578,800,944,278,
689,748,787,508,532,954,547,558,061,391,560,958,290,237,864,993,525,383,071,
772,793,119,641,059,904,114,959,676,106,926,558,756,801,225,208,910,738,408,
063,213,471,774,446,622,816,427,973,008,105,869,606,968,112,206,050,992,574,
637,647,328,798,289,664,331,457,933,018,662,544,601,794,049,177,262,937,779,
261,828,837,742,932,401,609,937,380,763,215,070,048,029,455,103,799,528,089,
852,714,875,299,542,694,698,058,307,865,766,768,306,469,073,291,760,248,002,
050,029,655,098,323,173,850,828,945,283,039,995,491,445,939,456,678,549,779,
933,382,113,084,742,940,322,340,344,926,825,104,956,453,889,585,779,109,685,
485,889,522,563,857,906,104,640,021,062,363,144,644,295,040,579,085,956,305,
357,634,414,820,998,286,571,660,856,814,058,390,738,495,015,860,468,457,026,
007,429,241,808,514,128,098,535,819,988,615,435,325,856,243,115,264,509,636,
985,979,856,071,119,759,939,203,199,273,469,140,408,713,428,085,375,872,937,
892,058,575,688,479,585,819,764,074,951,901,872,168,692,551,809,451,790,661,
306,220,300,451,514,198,382,697,070,798,502,858,099,002,695,425,180,675,777,
685,622,933,717,125,520,848,438,666,980,789,564,712,105,438,431,065,011,870,
711,887,659,994,893,471,695,948,056,751,217,801,426,690,867,213,539,630,126,
424,218,489,458,412,018,612,463,730,685,330,623,680,866,634,200,926,292,458,
528,426,978,656,440,620,521,235,593,826,611,285,643,744,678,763,845,911,687,
250,316,200,435,917,690,107,542,979,240,928,822,122,309,446,923,882,018,383,
941,508,843,701,490,314,800,698,591,474,906,762,630,923,637,737,532,510,550,
471,275,414,018,657,694,725,544,187,561,128,652,566,133,160,795,335,706,483,
959,730,993,435,410,075,946,998,536,526,249,695,365,791,011,786,779,027,883,
476,295,538,646,144,765,762,199,142,551,924,122,337,679,575,404,490,379,831,
862,630,011,519,649,453,485,329,071,569,640,126,094,793,120,273,299,309,500,
742,542,860,120,241,995,491,762,640,484,640,520,010,753,239,503,901,943,449,
111,361,743,793,189,184,112,905,035,822,544,735,332,395,578,498,281,909,550,
069,569,952,521,548,877,008,124,534,484,161,047,126,624,569,994,785,086,055,
876,321,776,626,485,901,503,283,391,443,527,580,090,201,559,881,708,678,451,
212,918,134,639,637,753,815,543,361,630,259,188,545,219,449,971,416,384,847,
994,077,064,944,129,267,939,141,227,742,289,536,003,342,125,626,634,544,847,
865,551,268,895,385,551,240,082,939,570,410,524,840,809,642,072,757,316,684,
309,810,700,577,234,348,121,676,572,272,926,346,478,345,425,243,461,535,254,
158,126,761,938,631,880,774,519,271,745,613,979,333,195,299,110,431,628,456,
132,400,856,383,116,025,644,709,906,124,303,375,611,455,431,497,635,062,554,
480,951,850,028,485,548,162,412,855,054,014,297,768,333,639,112,162,583,637,
331,475,623,708,194,822,761,117,421,943,521,500,605,891,302,667,268,542,685,
515,994,372,465,649,821,529,954,566,354,835,435,911,987,614,694,942,046,316,
506,501,125,108,104,573,845,694,213,875,621,411,232,920,407,655,408,815,429,
884,226,624,034,257,873,201,999,446,911,023,901,074,159,353,745,737,759,624,
080,972,674,816,730,702,044,803,428,345,643,091,106,851,194,943,471,326,504,
389,765,005,721,063,767,840,254,778,548,786,938,822,975,856,752,573,535,599,
905,969,049,454,227,252,573,932,356,984,654,961,241,526,907,251,619,489,932,
936,380,674,671,107,057,417,993,034,517,802,444,051,843,260,124,742,812,448,
070,359,692,472,376,836,277,992,535,458,360,001,192,492,223,463,751,196,057,
569,304,729,950,189,833,038,013,939,372,846,483,400,628,979,922,127,039,139,
891,551,306,320,642,602,663,956,055,593,967,454,765,778,547,808,299,834,112,
962,281,969,218,972,841,598,103,721,358,496,021,959,105,581,272,161,369,501,
033,526,627,713,241,678,125,261,266,761,405,834,958,430,490,268,477,474,525,
558,993,504,036,562,287,575,725,564,612,001,440,610,082,894,915,051,519,119,
040,009,978,003,028,035,932,098,535,968,017,365,767,890,902,871,159,819,124,
299,722,618,831,066,713,654,566,409,947,380,345,980,434,429,928,778,518,321,
588,831,527,662,534,300,150,458,781,478,249,473,387,048,579,758,158,900,329,
969,240,419,601,088,279,657,204,935,193,641,897,577,036,072,612,109,688,811,
840,303,422,555,604,603,992,736,493,219,818,434,932,606,132,756,766,004,508,
191,010,353,569,949,161,077,682,051,078,496,689,417,840,917,801,257,562,260,
851,081,984,868,634,104,518,149,399,634,783,176,208,520,662,947,431,548,115,
296,178,977,023,585,773,921,221,549,461,556,414,988,037,505,749,470,675,999,
537,479,820,299,085,220,792,973,868,925,726,384,215,100,100,255,842,265,060,
168,843,604,465,586,688,679,043,680,046,489,157,533,909,568,604,475,275,961,
771,200,588,052,203,293,641,700,935,255,312,018,850,082,221,830,380,184,508,
195,733,333,275,448,353,216,488,172,731,352,510,264,664,366,156,997,219,083,
027,694,837,361,999,960,782,480,302,787,118,368,948,182,663,579,644,791,227,
693,683,645,028,560,554,875,123,018,566,191,435,416,059,591,548,407,546,119,
012,095,375,159,532,539,147,014,862,253,103,096,989,171,611,261,802,566,947,
180,397,171,178,106,362,856,823,210,389,743,773,818,500,139,471,658,019,343,
216,549,637,501,733,714,364,659,295,601,479,393,937,208,419,713,227,226,505,
642,807,519,821,790,642,899,453,198,662,340,580,789,325,303,937,861,884,335,
280,047,337,168,850,458,804,242,892,853,245,311,140,663,561,393,219,613,581,
589,575,846,112,202,875,575,491,409,295,887,662,197,479,252,140,878,869,408,
494,129,525,368,705,971,464,755,831,903,613,227,134,532,687,204,731,668,734,
462,190,891,053,770,477,188,837,482,060,655,047,525,152,768,526,676,863,580,
702,284,919,250,082,143,399,371,465,620,728,631,724,231,648,163,979,723,016,
481,383,085,178,459,775,282,300,798,246,782,926,154,034,390,011,098,754,810,
478,033,831,712,918,125,441,795,561,238,584,348,350,655,568,108,234,644,225,
866,181,089,998,959,609,665,354,542,444,519,433,832,329,018,383,340,153,611,
679,307,687,735,182,521,724,657,404,510,445,992,104,321,301,344,284,066,604,
426,619,370,645,089,538,359,132,798,871,734,217,697,832,063,766,587,371,167,
496,806,194,685,198,715,348,101,357,216,001,227,881,343,630,081,850,676,536,
237,838,584,862,020,359,300,052,089,626,668,873,906,142,950,639,598,501,608,
840,027,602,817,625,338,931,876,182,016,224,093,168,470,477,818,648,059,012,
811,768,729,200,687,165,355,510,404,546,141,745,444,588,025,324,622,065,069,
213,039,376,688,282,332,304,749,159,010,891,845,127,829,526,809,885,077,612,
119,257,187,851,573,487,467,369,642,851,702,590,665,274,070,190,896,452,251,
801,320,773,227,938,057,224,917,347,744,685,875,671,312,470,910,208,262,763,
106,155,825,488,359,064,297,903,731,608,485,130,438,195,660,099,939,708,652,
257,480,483,407,930,243,375,017,193,113,707,645,442,791,964,439,553,082,276,
357,186,938,549,028,621,367,001,489,358,359,184,427,441,740,424,747,441,912,
027,756,705,129,750,210,941,741,839,680,361,169,155,128,051,217,426,266,816,
145,507,820,899,593,756,440,365,846,501,209,936,363,246,331,259,968,538,295,
643,191,523,614,609,698,567,828,078,298,208,032,059,058,570,548,226,044,343,
514,720,867,077,401,244,827,860,397,212,980,970,640,959,567,122,666,457,722,
499,359,522,263,375,608,989,882,223,390,104,886,193,334,180,398,246,830,948,
617,475,246,427,229,654,529,946,487,129,962,919,198,599,701,747,360,950,632,
317,703,905,463,758,434,248,911,288,049,437,918,400,427,403,603,811,915,719,
374,495,499,292,794,151,205,367,356,710,404,298,409,602,844,041,969,434,404,
433,996,029,503,021,360,165,101,770,006,069,675,608,953,950,862,909,928,108,
948,967,666,704,434,342,743,476,784,868,604,394,379,524,760,728,355,948,863,
945,066,269,047,368,881,182,965,204,760,441,477,793,853,377,195,371,216,136,
557,630,521,838,796,846,379,764,754,396,140,741,288,026,134,817,823,152,789,
148,924,874,292,060,414,853,471,224,870,997,127,093,360,477,200,451,022,711,
785,664,051,761,183,447,144,274,661,363,233,074,124,563,925,199,283,590,560,
944,603,279,341,597,955,901,013,117,618,396,786,996,386,259,796,095,721,457,
243,316,053,703,940,985,118,212,290,434,911,102,985,004,687,002,772,492,080,
755,160,685,101,577,537,238,542,183,422,076,362,116,810,523,051,130,777,874,
471,385,585,245,351,160,041,125,403,726,148,678,745,548,895,674,726,926,579,
725,386,527,265,676,363,929,657,786,484,783,008,888,091,351,933,315,578,003,
774,832,168,432,422,394,600,727,256,464,312,289,217,349,771,655,434,677,550,
641,486,779,754,738,092,801,347,559,285,752,116,088,379,100,596,963,661,128,
560,965,788,443,357,600,072,875,066,115,744,658,561,509,906,020,802,607,647,
019,092,283,737,344,804,187,255,659,328,354,184,661,986,165,947,261,013,289,
067,693,517,852,969,443,407,122,066,269,930,130,056,547,074,617,187,381,223,
209,004,724,550,658,587,695,876,318,609,286,940,771,124,065,614,003,820,647,
450,151,665,082,477,995,066,887,472,966,614,196,670,539,377,644,560,493,409,
509,306,033,317,557,029,520,542,002,636,006,833,623,347,299,641,667,261,381,
027,991,688,323,098,951,710,213,646,399,200,340,353,645,407,556,433,305,243,
649,723,943,121,611,006,230,707,839,979,058,626,111,395,248,699,886,620,477,
404,540,131,164,213,126,471,811,924,736,795,902,505,484,479,971,361,940,649,
380,085,118,815,901,744,139,494,964,023,740,357,991,633,983,741,633,489,694,
862,459,957,213,353,483,501,383,452,753,792,883,083,772,315,135,165,122,887,
946,121,663,088,826,908,503,761,788,413,031,600,925,403,297,650,756,567,073,
894,497,617,183,999,699,780,933,901,364,243,945,510,908,939,548,215,921,912,
966,506,882,540,790,104,531,540,594,779,951,627,040,392,247,224,473,454,091,
741,950,570,792,123,774,125,630,802,408,386,156,541,284,956,617,171,776,260,
283,008,024,418,309,282,683,078,467,462,763,770,304,824,862,241,348,058,264,
660,027,477,714,642,234,634,032,154,985,200,982,550,235,992,242,274,006,623,
766,800,033,681,748,134,182,420,354,627,973,291,653,935,201,140,323,435,874,
729,850,756,603,392,613,747,552,581,250,709,284,708,843,166,901,950,808,382,
761,152,794,852,846,913,579,135,326,794,184,043,366,871,015,871,911,480,278,
177,425,201,685,621,240,301,699,377,974,875,075,864,194,864,643,715,248,328,
111,155,622,761,613,498,381,710,286,114,384,108,059,244,888,665,194,491,531,
425,131,178,288,292,465,419,550,868,789,115,721,484,834,656,479,726,398,371,
051,166,642,285,917,333,898,273,640,424,642,219,755,764,223,148,527,764,622,
758,227,369,298,863,264,273,582,896,187,368,955,936,457,334,236,168,785,827,
598,393,407,452,654,425,891,850,622,963,731,563,931,290,939,787,425,129,336,
458,094,609,237,247,275,633,279,195,535,107,839,157,637,813,706,888,168,034,
212,245,900,029,733,076,278,356,890,488,435,600,064,273,719,557,265,174,610,
757,011,251,673,421,350,313,708,423,989,874,165,792,764,354,646,673,228,351,
473,687,218,418,014,344,755,436,643,743,682,946,899,896,868,176,029,393,803,
256,823,679,738,344,492,268,286,739,176,188,105,783,139,615,980,632,942,218,
987,774,939,115,687,527,420,973,600,052,527,170,455,921,401,308,437,548,089,
392,486,649,513,685,666,439,205,527,154,007,577,072,305,454,410,387,647,582,
576,964,392,141,857,696,184,201,914,822,466,988,832,359,313,859,655,982,429,
531,150,992,662,325,243,662,989,950,657,866,149,993,972,517,818,831,170,797,
344,463,301,483,363,619,544,011,006,754,069,103,160,565,767,270,801,622,141,
227,091,486,338,751,365,805,910,789,653,327,136,687,993,125,842,008,045,177,
719,740,496,444,834,376,797,765,702,367,208,391,092,301,975,277,132,569,710,
147,608,633,278,395,247,843,752,884,349,222,484,119,360,911,762,163,391,673,
163,611,735,149,129,293,772,836,053,414,464,484,104,165,038,333,782,252,148,
769,586,897,639,684,407,910,405,664,740,267,169,383,199,302,399,010,072,301,
490,103,880,886,060,195,466,836,130,871,739,087,349,998,838,012,948,839,418,
341,949,488,241,913,172,861,893,671,659,731,052,775,521,036,349,813,130,291,
883,235,696,564,332,871,846,958,790,259,574,579,954,167,971,091,847,111,775,
408,874,803,308,982,592,458,984,579,887,992,658,317,910,184,988,917,939,307,
849,225,742,820,172,011,084,811,671,465,824,600,614,660,919,179,708,670,743,
641,830,527,288,757,765,759,175,459,916,665,307,925,720,349,934,475,843,806,
084,599,009,586,589,536,282,516,816,686,124,593,456,992,081,887,916,590,661,
863,726,541,819,994,617,182,426,616,764,362,656,469,130,633,335,870,595,434,
537,358,705,117,044,020,149,973,513,956,294,011,625,394,413,858,842,266,567,
244,266,887,514,904,122,230,980,365,213,879,138,077,256,085,793,536,795,189,
159,530,705,254,394,462,100,418,921,385,114,019,626,213,571,333,199,905,296,
760,816,161,724,704,230,948,003,175,802,317,416,510,235,349,613,254,165,664,
306,763,829,023,010,855,078,763,472,591,202,054,397,229,963,778,585,581,944,
345,340,380,425,873,841,707,916,641,991,957,332,478,780,740,396,765,900,858,
200,346,644,241,352,453,503,331,176,497,850,096,539,892,240,117,902,987,098,
270,036,813,422,721,049,061,448,266,680,943,786,706,367,416,341,776,201,324,
135,473,078,969,064,792,043,879,744,013,943,330,794,444,918,073,869,672,669,
255,644,144,489,187,391,378,452,774,759,979,641,090,694,979,999,860,575,020,
413,524,826,520,636,491,626,036,304,136,780,122,980,184,043,381,345,076,454,
225,511,428,345,585,605,968,614,606,419,033,900,825,182,633,955,430,692,922,
690,902,313,673,986,808,744,991,882,965,531,883,289,837,930,002,599,652,642,
023,060,190,131,220,557,315,448,843,662,860,682,997,808,820,479,877,056,387,
322,886,264,897,180,552,731,778,320,033,040,876,584,004,642,968,579,459,677,
979,492,619,895,777,143,991,663,266,218,375,750,869,506,462,704,523,808,047,
122,668,178,716,754,314,616,675,681,561,606,060,312,680,415,414,979,716,053,
888,369,021,663,664,215,933,424,365,922,304,431,584,394,482,197,438,560,179,
887,362,530,022,546,903,866,470,029,844,157,585,646,533,965,991,587,543,263,
537,268,277,935,249,007,941,063,205,612,830,255,928,202,204,948,434,858,740,
648,037,833,252,428,763,588,929,687,196,744,121,841,691,031,050,113,208,077,
140,319,098,652,365,336,772,713,757,184,150,031,525,306,803,762,004,591,854,
862,130,594,682,026,832,697,404,333,088,095,480,502,018,491,501,535,299,965,
305,271,368,693,206,209,337,619,476,528,523,296,613,655,218,196,402,726,237,
846,716,327,652,649,027,691,734,485,338,983,897,175,405,213,826,281,739,836,
498,657,760,234,076,084,357,152,457,176,500,294,922,510,786,800,703,647,484,
429,310,623,334,095,381,820,381,423,996,366,253,537,848,120,796,550,376,131,
453,231,353,232,140,776,404,177,098,636,424,286,169,622,732,670,919,469,930,
772,494,586,333,298,797,571,854,517,365,512,181,262,306,524,188,059,301,774,
607,848,249,157,354,052,310,821,058,815,029,469,411,449,241,506,986,450,393,
160,992,001,838,074,257,365,058,402,810,204,954,927,620,107,697,379,714,835,
957,505,807,919,778,374,749,770,277,911,123,326,373,899,923,920,482,346,318,
040,088,216,981,916,740,136,877,739,136,891,332,541,003,553,962,845,280,994,
431,289,281,029,834,950,152,511,212,188,336,789,857,844,153,646,013,094,183,
990,358,169,961,983,393,206,773,735,860,594,556,442,495,483,548,512,281,879,
506,010,137,023,273,264,926,549,469,339,223,147,305,395,294,289,968,670,129,
929,039,558,467,685,352,694,958,337,368,358,576,906,682,395,775,641,822,718,
399,872,100,837,656,322,124,068,679,067,025,564,420,728,101,519,438,214,431,
343,796,505,069,279,775,841,007,271,536,621,264,622,253,640,174,705,440,538,
747,163,622,200,303,600,248,532,894,331,940,369,166,920,034,674,667,359,269,
188,604,767,893,399,140,485,424,363,894,192,216,168,223,548,832,616,550,415,
779,747,298,367,257,329,645,239,884,881,945,571,947,809,767,197,856,437,957,
045,048,181,913,832,921,321,583,197,133,318,372,208,398,974,660,791,464,575,
604,606,846,373,690,249,700,865,809,068,750,980,051,365,906,777,382,242,302,
764,068,733,206,148,746,766,401,884,901,710,073,006,904,890,436,320,765,124,
138,487,819,302,914,262,674,577,011,433,862,732,975,856,798,905,292,572,076,
152,509,056,481,886,375,424,517,527,317,627,447,742,426,266,823,683,292,249,
572,631,283,876,600,695,936,330,442,883,348,417,302,438,978,531,663,711,638,
452,680,183,086,501,027,563,542,494,765,366,000,075,466,255,973,963,537,931,
116,267,153,539,292,429,212,475,084,276,616,428,006,553,264,149,463,885,080,
229,730,130,003,724,122,392,105,914,901,424,189,033,498,865,764,302,551,746,
254,229,670,729,062,979,211,161,538,899,059,992,734,657,944,004,741,888,608,
558,250,152,915,910,709,249,461,032,188,445,823,001,599,699,645,511,692,757,
894,854,548,673,721,657,444,968,092,381,348,458,675,533,617,539,476,525,075,
579,644,535,704,724,849,966,188,037,438,698,260,676,169,422,603,431,585,719,
273,041,298,769,966,322,968,580,738,150,053,387,954,799,784,365,405,339,986,
426,529,710,431,885,935,739,170,756,508,759,468,058,021,230,826,541,823,959,
095,548,090,578,528,798,410,568,847,367,562,054,920,583,186,375,119,713,167,
213,084,940,815,376,644,976,165,460,046,733,327,778,423,309,469,792,897,745,
934,466,160,613,937,271,557,188,492,599,824,862,010,231,124,555,471,838,392,
173,151,878,252,956,786,467,045,520,044,205,822,270,903,511,538,871,063,358,
107,745,641,344,243,470,004,325,765,756,426,799,836,477,828,352,491,757,056,
204,833,003,002,742,163,012,863,037,560,579,558,611,502,764,343,302,020,075,
760,975,272,265,030,933,842,443,639,090,838,369,782,284,684,207,709,818,074,
840,817,850,272,955,103,564,623,006,388,194,506,334,528,549,860,272,491,233,
169,281,122,624,271,999,600,804,425,510,494,981,663,679,430,687,777,248,959,
285,500,082,038,217,070,937,869,885,932,889,530,856,451,875,820,342,780,827,
629,092,977,294,756,750,678,007,888,518,955,745,743,663,950,916,505,731,418,
224,996,242,547,864,463,159,723,586,237,328,977,250,987,549,814,598,104,727,
826,654,042,493,201,289,888,366,247,184,021,021,393,077,515,502,741,242,098,
849,412,572,543,344,546,459,945,027,853,644,969,727,906,871,192,772,342,057,
113,031,745,295,672,612,638,846,994,354,481,321,486,594,678,204,574,686,427,
540,622,433,730,889,302,985,492,652,467,228,769,970,381,946,483,824,813,873,
684,322,150,824,826,666,174,255,155,793,750,641,869,401,022,892,494,806,923,
179,077,507,928,196,833,983,358,039,469,444,164,574,013,295,031,274,983,994,
767,079,037,355,163,803,850,293,721,334,751,465,883,882,968,749,704,180,365,
017,661,284,730,382,251,135,921,975,171,204,435,556,775,780,267,428,178,487,
601,946,340,219,807,399,511,832,006,908,719,335,635,069,532,288,406,693,836,
149,295,853,156,304,663,045,725,160,142,629,701,910,821,815,549,459,131,363,
311,376,545,137,207,902,200,608,082,699,148,980,523,752,489,823,173,990,287,
647,043,824,223,486,455,463,974,283,916,912,536,600,013,913,496,129,213,199,
709,438,081,445,341,488,536,123,661,425,840,805,157,904,038,367,677,676,867,
591,123,857,892,919,107,248,924,244,052,485,842,163,141,671,681,070,801,988,
614,164,398,473,109,547,364,309,382,343,932,215,404,089,689,188,664,360,403,
096,581,049,539,484,099,617,694,784,204,809,547,281,320,531,398,668,615,353,
446,039,887,123,545,430,102,989,389,832,791,852,946,267,825,864,586,238,946,
237,810,243,257,862,522,669,210,244,441,440,658,747,934,459,689,478,584,615,
329,122,813,535,232,106,165,222,630,593,524,379,266,294,821,460,728,957,143,
822,076,980,209,969,494,392,222,387,802,132,663,143,616,012,153,359,066,113,
488,751,229,130,431,177,683,274,634,831,464,765,859,696,138,036,775,015,164,
904,168,250,198,044,900,393,024,153,336,235,824,551,548,208,460,314,468,180,
237,166,118,648,009,406,473,539,856,196,202,435,610,893,826,181,242,844,593,
551,642,936,917,830,268,184,352,262,383,749,827,313,575,743,891,306,744,290,
625,164,974,868,052,904,914,982,224,691,994,639,046,654,153,305,338,345,448,
511,666,682,004,986,216,306,573,344,438,929,447,745,140,047,163,015,073,368,
989,253,980,498,561,063,472,039,318,515,435,273,417,781,839,952,520,062,382,
740,165,374,316,369,404,850,314,049,337,631,840,737,291,402,435,459,314,722,
756,909,302,428,005,788,451,983,053,613,952,546,887,311,369,422,551,439,707,
404,857,244,552,736,876,252,459,269,889,214,289,139,183,064,784,404,041,897,
291,343,143,951,773,296,966,570,151,893,691,569,344,383,608,993,129,097,110,
382,385,611,026,436,338,915,304,598,592,271,708,291,126,757,512,185,796,503,
494,922,586,043,314,120,417,430,625,900,807,459,211,870,953,706,381,324,293,
950,940,118,887,190,690,697,265,073,349,937,011,849,708,237,621,264,206,954,
411,234,759,615,457,208,239,553,596,581,659,016,698,745,979,887,288,464,162,
621,039,924,293,222,102,794,533,220,567,619,679,870,842,180,214,776,306,528,
713,099,276,002,929,103,710,524,528,537,015,667,499,058,098,581,261,864,049,
127,591,438,235,167,818,787,946,057,163,299,562,340,320,151,519,346,205,269,
964,423,263,172,109,681,896,733,756,053,174,926,020,360,927,773,944,210,646,
071,389,883,834,735,316,227,797,710,428,062,784,532,381,408,702,019,346,104,
627,045,068,565,442,660,077,980,325,716,099,311,209,106,416,310,225,666,758,
027,667,370,139,927,968,386,248,051,965,123,013,250,351,590,483,886,282,841,
996,744,762,042,169,330,148,373,159,393,050,531,289,871,235,540,803,716,266,
532,077,427,885,236,348,677,269,539,543,614,456,398,053,644,603,444,519,374,
917,763,574,183,167,730,175,489,687,257,659,300,824,988,690,197,390,877,500,
740,582,728,397,234,087,591,488,861,831,975,789,594,233,272,750,519,716,342,
482,433,290,025,182,017,557,930,584,835,066,983,215,622,785,702,884,684,952,
797,587,879,850,986,777,534,817,844,524,408,727,430,249,994,455,379,328,042,
678,506,367,724,964,178,147,775,336,800,031,415,886,970,163,513,811,079,506,
569,716,544,492,019,488,054,788,030,761,254,898,270,205,525,533,768,554,155,
025,177,748,026,569,794,352,419,986,562,299,016,295,132,038,188,373,884,875,
776,840,741,788,880,023,757,920,212,237,432,135,100,204,809,745,234,351,369,
957,267,446,395,689,954,406,930,466,787,238,756,980,578,348,140,699,890,755,
905,902,106,486,109,332,961,536,836,365,045,706,599,601,400,421,993,139,361,
514,898,616,735,638,874,556,243,251,576,011,545,469,030,640,965,125,047,337,
807,726,874,537,523,461,908,379,283,667,811,933,955,506,951,138,737,120,182,
698,787,505,071,726,854,535,984,346,780,738,327,915,209,369,960,493,584,990,
039,622,472,031,747,597,510,903,357,841,827,922,406,873,748,784,760,465,880,
630,324,406,276,202,027,283,366,742,264,308,556,523,937,644,647,717,484,654,
400,325,280,942,369,160,066,574,855,146,488,126,704,408,911,340,890,718,973,
482,720,628,908,752,960,063,509,315,335,751,154,314,794,942,099,986,922,894,
913,322,189,845,941,496,752,327,265,327,231,627,888,418,920,921,014,956,017,
383,444,450,568,067,104,771,578,084,735,608,851,444,926,327,228,004,445,347,
573,466,902,596,942,621,548,301,319,807,178,277,764,487,220,049,906,112,076,
197,623,963,864,002,670,983,172,937,374,295,817,172,447,390,430,660,955,670,
087,976,392,609,898,973,471,987,862,916,774,771,210,485,533,236,402,907,668,
742,618,024,067,391,425,272,294,616,589,832,391,452,978,887,294,807,166,589,
172,894,829,860,278,206,767,264,420,036,148,000,471,264,506,829,214,314,374,
216,934,684,986,893,128,960,385,296,879,398,559,984,350,291,094,133,196,532,
418,839,151,374,019,499,924,367,044,984,781,952,545,419,807,780,102,244,825,
769,232,298,618,560,995,632,298,206,797,845,961,834,545,698,419,712,358,399,
760,770,977,112,113,861,333,152,378,111,632,633,022,975,111,261,067,193,504,
904,984,925,798,786,616,553,104,942,967,042,007,909,494,804,750,067,078,380,
216,715,129,697,037,271,185,730,108,038,787,197,261,916,439,833,247,725,854,
198,833,606,958,001,371,366,677,363,069,069,168,268,940,077,290,719,539,765,
937,371,370,539,394,080,641,394,606,516,406,995,023,607,253,376,362,762,428,
839,324,403,963,298,647,119,979,281,415,961,340,052,353,927,651,097,502,062,
048,260,626,108,479,406,243,527,884,097,172,400,321,833,335,797,378,272,721,
372,958,414,485,812,696,680,250,112,465,586,074,989,996,749,779,374,252,804,
927,867,947,477,175,164,066,607,955,103,551,495,092,720,573,102,685,044,381,
932,225,793,443,060,044,362,593,262,844,685,955,728,028,631,821,961,846,316,
712,476,888,638,530,678,644,143,439,636,780,573,907,546,589,993,918,014,784,
116,632,905,174,975,389,750,611,719,442,461,372,779,015,176,168,007,466,255,
285,064,108,068,144,507,628,347,290,270,135,831,160,271,777,810,851,047,559,
387,619,107,858,707,972,640,203,585,438,345,373,600,390,199,191,777,597,793,
295,993,932,991,099,826,441,057,022,514,587,889,297,739,012,806,492,886,026,
654,077,819,395,935,810,258,919,005,199,339,544,205,416,365,809,513,269,273,
883,054,643,034,136,113,763,678,692,680,993,556,166,713,396,194,577,768,370,
869,927,938,182,667,666,046,919,968,831,763,924,546,545,922,282,765,017,948,
653,488,203,473,253,637,566,805,017,668,285,815,184,182,230,780,658,119,908,
365,707,722,050,171,174,791,907,923,228,383,838,530,564,268,976,638,877,821,
424,556,879,738,413,085,551,080,968,812,894,190,797,584,917,045,513,576,475,
359,153,907,467,444,588,504,398,076,957,919,248,668,312,586,850,325,005,618,
044,319,703,425,475,856,140,012,824,843,358,782,173,221,507,734,407,188,104,
688,078,883,153,663,497,165,344,770,083,069,514,159,977,535,726,449,764,243,
223,169,567,202,524,254,895,213,664,479,074,643,127,426,208,445,151,853,905,
384,544,846,658,109,094,657,243,439,559,857,046,405,853,291,649,178,451,356,
794,383,682,355,877,806,398,881,742,263,411,017,162,280,096,108,385,372,929,
678,168,511,389,838,066,724,800,657,925,421,608,147,741,488,330,684,462,055,
956,207,946,889,506,047,055,512,940,949,463,055,608,459,518,495,666,544,562,
699,592,390,682,318,661,992,410,478,686,963,709,731,356,980,717,722,430,584,
818,042,690,598,344,931,011,426,543,801,279,608,513,141,361,726,818,706,832,
495,715,771,082,327,067,445,327,705,821,152,587,588,082,230,944,616,656,968,
775,387,569,333,294,213,293,812,323,073,638,573,671,743,210,418,487,907,370,
594,475,382,885,794,436,463,878,535,594,366,561,847,211,486,904,899,354,795,
244,696,399,578,736,213,317,205,572,003,640,863,111,307,511,115,986,005,172,
872,621,371,236,524,155,731,734,726,413,037,316,913,747,750,384,464,945,411,
313,425,009,307,521,971,308,240,506,215,034,878,426,074,429,849,385,387,053,
984,990,565,922,080,770,058,568,493,446,089,555,080,537,607,229,442,815,212,
017,202,372,262,828,357,278,840,262,345,281,006,375,013,002,728,988,778,375,
351,012,879,323,665,942,106,552,558,437,738,691,919,496,522,109,581,132,001,
673,248,089,399,084,983,269,606,310,340,907,806,229,177,133,130,411,736,225,
049,472,712,836,937,125,920,883,526,149,978,320,538,833,106,774,911,136,006,
184,186,654,037,142,387,353,061,939,983,040,241,622,357,376,055,225,142,481,
048,566,811,185,420,962,051,783,547,661,188,594,235,532,877,233,127,409,022,
424,503,300,410,068,629,047,178,825,187,844,363,006,588,487,528,724,416,415,
882,054,098,351,515,108,372,476,115,427,738,847,227,635,102,633,072,500,872,
423,594,133,388,811,290,585,737,437,548,719,270,290,986,908,483,147,903,141,
226,084,705,357,689,067,206,228,849,836,632,987,950,820,262,501,285,805,510,
416,894,567,123,404,563,208,592,347,649,757,534,849,429,409,762,169,807,865,
094,007,639,461,219,486,993,623,152,659,550,743,852,785,626,536,661,870,744,
695,937,453,219,838,084,254,765,879,944,854,068,192,329,328,085,028,300,194,
939,651,887,530,158,441,768,486,890,737,280,560,016,372,457,642,124,454,107,
324,981,918,486,713,512,133,624,181,290,346,677,489,870,284,551,811,741,480,
382,000,522,856,438,405,440,159,313,728,415,295,115,486,939,023,186,353,178,
621,046,594,900,822,131,663,600,350,478,706,209,230,896,054,208,537,390,972,
152,150,287,044,146,853,164,294,949,657,490,510,901,566,410,527,188,225,397,
941,140,355,862,841,569,129,068,368,993,110,987,197,974,435,378,137,826,977,
217,203,691,759,829,595,259,453,872,673,151,560,485,993,749,326,056,990,499,
518,379,916,644,926,712,294,840,194,564,267,234,777,002,488,960,570,114,792,
188,736,730,799,870,265,995,696,971,941,484,850,188,520,703,065,260,915,096,
544,371,665,594,755,015,792,580,821,609,977,720,198,486,720,161,473,198,662,
288,850,206,939,320,403,403,705,884,976,956,252,743,535,133,911,988,132,041,
636,109,691,577,506,445,058,729,302,889,873,623,002,912,004,033,298,017,397,
298,868,369,027,869,217,905,667,289,770,840,115,129,065,927,698,653,272,042,
626,349,290,109,288,141,570,986,508,076,387,454,813,523,597,929,087,218,188,
120,223,943,977,316,370,102,536,888,769,933,100,376,186,948,648,710,185,852,
989,971,267,559,601,233,058,458,597,122,860,491,213,117,019,538,432,704,577,
335,568,011,520,332,791,467,445,199,849,326,648,920,362,961,393,965,848,867,
037,640,936,874,879,406,045,750,344,567,568,525,980,702,459,461,338,754,494,
832,640,998,825,198,238,917,217,981,396,925,252,063,239,282,571,216,433,560,
351,165,178,032,832,092,973,889,019,657,078,214,604,090,813,597,832,408,974,
348,452,031,210,015,676,963,103,999,635,291,866,960,495,556,758,902,280,009,
505,718,572,923,940,326,631,406,787,233,010,394,861,137,915,619,718,305,153,
992,080,624,969,098,518,421,384,570,865,913,865,589,484,921,795,589,770,906,
380,789,790,947,714,915,184,093,151,068,739,082,798,792,230,179,480,837,914,
096,986,535,678,229,747,086,634,542,383,946,453,891,963,918,342,699,464,986,
157,149,998,867,142,192,201,430,584,802,987,171,578,811,458,063,123,575,774,
315,359,160,460,224,058,937,495,042,669,722,138,423,987,998,333,109,744,264,
099,354,491,132,799,876,874,275,487,413,992,104,330,631,721,474,505,622,698,
094,167,336,302,958,552,529,636,979,447,410,663,163,943,083,082,351,952,209,
341,964,621,629,798,058,824,211,558,180,518,620,211,866,392,472,302,150,174,
277,576,134,006,020,210,346,460,745,629,719,919,157,011,758,160,326,590,875,
578,419,402,870,167,618,504,986,322,783,797,378,277,883,228,479,852,309,838,
149,760,886,127,917,559,318,994,492,431,732,596,015,892,911,069,445,849,803,
867,083,727,062,439,112,189,221,509,132,171,795,959,335,125,893,498,123,803,
445,745,179,096,156,945,614,831,263,813,065,648,223,036,863,951,871,431,031,
372,829,690,521,764,213,512,090,808,745,296,230,298,717,407,636,960,064,120,
212,737,488,639,779,199,256,424,554,219,865,163,996,293,646,502,892,086,578,
458,765,351,545,832,244,746,542,659,051,365,808,053,753,852,348,321,985,601,
580,293,603,775,472,048,369,700,738,379,293,324,425,389,025,478,221,977,879,
398,412,809,667,369,294,504,320,538,750,411,106,717,421,433,609,409,015,112,
627,117,327,581,857,152,942,046,529,393,754,871,405,173,191,327,252,822,819,
863,191,566,808,880,002,508,902,775,212,518,843,300,623,540,706,454,489,304,
512,786,707,895,163,010,018,656,235,249,541,020,954,324,724,394,212,677,678,
379,852,728,552,908,634,532,577,120,961,262,785,695,175,133,600,795,635,675,
204,827,074,420,976,904,410,092,156,907,397,408,792,323,841,677,471,627,657,
862,661,715,870,284,824,597,499,965,798,948,604,605,890,744,646,685,278,700,
654,130,497,195,034,625,022,870,890,337,842,830,106,045,525,619,215,529,565,
498,688,870,689,611,601,990,008,675,057,372,974,680,635,880,243,874,616,207,
578,710,612,336,862,494,699,324,640,246,207,030,218,254,739,161,693,089,553,
370,327,697,527,217,379,032,242,496,245,944,707,159,291,993,742,060,736,126,
143,500,667,506,721,827,200,422,928,862,520,323,504,103,990,126,251,130,277,
898,297,620,426,442,097,050,682,477,292,163,213,264,520,878,623,614,181,983,
675,515,363,180,563,657,127,684,506,158,725,103,878,794,576,165,794,493,028,
336,810,899,153,569,377,100,670,776,216,538,673,217,910,742,922,670,849,684,
148,026,213,060,756,567,010,175,620,556,973,971,045,773,715,648,198,202,796,
163,825,451,369,149,407,700,878,138,115,697,183,967,806,522,641,823,748,909,
986,341,225,373,640,638,452,938,703,325,852,626,185,387,626,574,605,906,235,
315,142,454,223,855,893,424,441,098,797,053,947,138,453,596,096,467,009,878,
866,617,159,603,724,424,774,620,448,249,429,215,468,288,339,909,948,986,034,
617,865,317,159,263,948,043,252,702,777,388,628,488,648,504,735,231,313,601,
327,588,390,103,956,793,920,078,208,596,786,598,864,339,969,954,294,866,845,
731,047,667,642,107,447,594,479,423,011,320,054,165,471,991,136,515,108,261,
996,038,826,703,153,131,336,753,337,812,796,276,604,231,656,442,129,445,940,
956,341,761,968,714,984,026,253,853,022,170,426,352,079,533,507,159,064,191,
583,319,926,784,454,017,027,412,542,670,304,249,111,707,770,349,193,297,069,
158,857,589,943,489,037,796,200,578,063,723,705,926,978,779,602,944,405,253,
271,875,961,705,142,961,998,467,727,070,199,055,341,817,697,717,054,127,280,
784,999,414,981,024,788,268,069,679,940,096,154,891,158,079,040,947,864,836,
298,211,706,474,382,219,542,840,633,806,645,236,936,150,293,270,563,639,901,
407,535,056,602,831,675,854,792,134,022,673,770,702,662,453,002,386,495,758,
271,296,468,213,396,710,908,202,893,879,655,771,294,291,670,973,182,653,873,
615,625,467,312,760,033,421,265,739,874,967,490,521,125,210,826,512,219,669,
526,113,039,426,741,655,789,241,204,870,042,437,283,676,148,364,045,325,053,
830,612,850,701,181,561,325,167,407,787,798,144,865,964,330,171,516,314,709,
912,903,674,667,294,089,494,298,363,467,589,738,633,312,675,984,945,621,350,
239,992,607,456,077,218,120,991,456,201,140,882,627,177,188,618,871,387,251,
127,369,492,223,183,454,336,941,785,124,230,133,611,730,293,702,028,655,904,
608,912,966,971,445,387,420,949,020,929,606,578,149,722,506,642,688,747,835,
029,093,172,327,280,264,792,300,242,609,352,135,528,534,439,813,350,147,265,
203,032,049,083,476,651,638,834,493,329,695,748,294,417,078,247,416,717,529,
855,947,158,160,025,383,956,790,417,126,422,403,743,911,759,838,907,054,807,
402,001,802,987,796,188,736,077,151,514,128,836,196,788,984,048,850,351,905,
454,043,236,751,027,865,262,415,914,545,758,938,529,044,202,665,515,355,071,
033,316,312,925,083,567,375,297,940,322,868,805,960,095,222,416,809,586,038,
962,440,567,818,125,665,922,481,075,471,320,465,721,450,705,454,180,538,059,
952,326,683,711,674,284,630,179,502,205,929,810,154,404,752,242,386,699,261,
358,259,761,481,983,299,538,307,212,483,330,181,700,268,909,353,873,151,066,
444,956,679,088,377,765,355,196,073,955,013,193,762,805,201,149,124,836,650,
189,924,473,996,961,395,498,201,408,714,196,474,932,949,758,203,567,874,757,
071,152,389,576,249,590,557,004,642,530,043,259,523,648,119,955,163,701,141,
309,677,081,977,093,884,292,446,992,226,698,381,868,456,223,125,407,512,206,
278,218,173,098,011,997,782,683,034,835,592,918,680,206,915,486,935,654,267,
135,223,722,600,136,131,623,909,286,240,273,604,815,287,141,996,838,852,958,
831,230,532,768,718,454,633,123,019,414,168,832,483,905,005,891,393,076,306,
204,398,461,810,007,989,917,349,191,855,216,501,676,452,406,687,717,140,361,
202,346,424,409,545,504,131,202,017,249,767,747,134,475,559,874,665,286,463,
118,132,221,743,448,939,035,513,522,203,416,833,519,037,123,532,636,721,500,
857,698,089,412,573,769,459,453,999,411,863,484,633,911,433,213,158,129,045,
809,341,272,268,366,305,027,198,069,459,663,581,650,806,781,474,140,216,251,
143,861,105,049,398,414,897,708,318,877,805,890,351,385,757,842,388,195,795,
588,246,164,023,631,875,198,576,335,840,616,356,408,703,965,363,791,275,932,
809,232,443,025,329,071,489,806,923,403,093,248,166,886,853,029,229,561,727,
735,398,338,649,939,642,657,780,769,121,299,929,860,388,863,017,526,841,769,
023,917,020,973,995,951,415,119,448,623,269,032,433,933,704,766,093,963,996,
944,580,406,753,821,158,668,200,341,634,992,822,281,107,876,227,262,192,755,
709,221,950,226,679,649,424,399,092,470,315,635,270,857,850,253,339,738,040,
408,623,614,337,444,041,106,748,523,556,727,851,166,979,641,018,801,520,626,
203,787,885,706,424,598,939,775,619,221,807,244,287,269,254,771,425,876,966,
585,098,044,329,439,835,499,064,505,318,137,329,681,876,834,862,775,042,503,
187,662,844,956,218,218,905,796,592,118,589,026,341,708,029,795,419,924,030,
000,258,280,571,933,595,535,941,258,289,076,404,196,145,428,992,573,028,519,
328,530,522,708,708,791,036,026,159,710,122,791,450,867,134,777,725,386,100,
344,668,109,904,137,386,790,703,883,876,715,696,559,783,033,641,100,816,154,
122,890,846,647,929,334,976,084,482,792,533,108,584,186,647,841,131,381,100,
570,279,072,918,289,873,498,040,592,824,720,395,111,928,739,975,614,767,877,
286,554,057,794,135,117,366,109,344,358,402,310,400,612,488,840,785,852,443,
383,149,210,169,991,418,452,252,189,045,849,678,048,627,958,614,329,181,233,
269,373,692,485,593,397,687,314,974,667,429,014,544,504,982,276,121,679,905,
748,913,001,057,255,493,901,723,046,794,320,344,876,582,750,926,795,736,679,
564,552,642,289,985,882,031,133,470,137,017,895,503,830,241,102,191,095,164,
336,994,603,399,754,413,106,285,045,268,518,729,395,613,958,964,284,813,012,
575,477,943,797,264,233,828,878,210,757,879,638,114,698,262,161,487,227,424,
255,028,573,458,992,292,772,028,573,249,556,016,350,987,746,695,522,065,805,
539,474,296,805,174,643,563,561,236,179,544,959,186,892,947,017,197,868,438,
404,844,350,217,521,131,898,019,803,039,172,837,773,402,911,561,740,988,992,
378,388,532,529,486,307,506,498,423,191,486,770,774,034,436,204,760,711,639,
269,214,709,026,719,105,910,035,659,883,638,157,783,250,404,378,877,330,185,
584,479,255,951,090,613,341,537,993,476,280,681,011,138,437,965,596,082,881,
122,449,895,976,267,660,524,616,610,298,632,220,565,394,730,994,166,852,230,
884,386,825,854,537,744,706,358,032,448,009,822,173,856,849,463,592,249,999,
154,537,258,336,220,575,063,224,780,656,802,289,168,467,442,341,860,786,055,
584,090,230,632,805,100,246,761,265,095,045,564,702,416,470,920,813,924,937,
541,744,736,268,208,009,645,970,225,302,551,852,544,776,260,088,588,629,491,
701,650,398,846,981,259,993,336,066,270,699,554,980,117,283,477,241,311,997,
595,213,094,904,607,962,166,100,256,921,826,361,081,349,845,005,794,811,196,
189,310,485,385,168,169,193,000,427,611,523,998,464,187,727,696,748,900,178,
534,249,659,548,042,032,930,793,495,489,521,443,993,035,307,033,094,019,408,
025,442,526,445,304,288,089,607,915,609,726,182,540,720,992,268,882,484,784,
881,221,121,501,026,845,817,404,536,574,687,221,918,655,701,013,032,476,864,
892,593,152,162,049,696,288,897,815,421,808,929,487,124,843,712,905,612,667,
023,315,022,930,353,604,341,663,136,114,703,976,317,737,360,403,388,104,995,
435,610,185,857,105,787,434,184,381,660,908,798,476,890,364,609,196,738,373,
130,648,841,631,715,595,085,554,165,949,784,978,638,768,551,624,016,951,178,
407,139,477,647,449,000,919,116,944,985,393,311,817,588,005,413,075,588,586,
548,221,135,552,157,801,146,663,715,421,904,193,031,918,339,818,831,902,590,
152,196,007,929,751,284,883,735,217,597,854,659,100,042,000,758,218,097,498,
523,807,472,111,071,490,879,192,486,567,771,220,969,015,088,242,235,630,631,
162,741,686,322,145,558,324,564,872,582,064,891,089,640,604,271,147,971,854,
254,300,765,682,103,202,113,556,420,475,398,078,196,442,324,798,985,569,914,
925,007,913,073,044,120,928,950,354,795,177,157,173,183,045,597,219,823,924,
962,159,184,613,816,917,111,601,354,213,227,609,914,391,536,083,230,703,078,
403,394,714,695,827,847,128,668,086,687,286,702,413,647,591,172,581,118,163,
543,014,181,849,635,307,644,481,375,326,923,563,424,768,620,269,326,643,856,
827,895,896,469,684,725,079,116,453,440,407,210,931,730,323,145,540,779,146,
030,429,186,528,603,645,233,236,746,075,573,081,949,745,450,287,048,553,296,
090,457,485,702,087,812,750,139,106,205,522,213,746,996,796,170,034,876,194,
301,974,748,220,472,145,849,435,300,485,740,720,787,728,127,231,964,910,912,
113,579,467,894,665,901,589,212,260,641,067,022,095,415,479,162,112,546,720,
755,866,880,755,949,835,116,729,528,919,448,608,308,227,792,352,090,660,112,
751,660,190,343,382,882,850,306,357,934,541,677,558,968,580,725,982,059,491,
460,189,648,744,138,869,867,339,471,833,139,124,253,533,203,673,746,008,354,
495,755,285,544,758,742,798,225,153,499,498,646,930,295,088,609,233,028,715,
385,084,934,698,693,242,647,084,122,175,059,930,857,283,442,265,580,985,760,
987,177,747,363,258,467,679,610,530,854,821,997,130,601,603,882,241,942,192,
905,210,662,359,804,110,410,982,795,661,472,147,025,633,563,019,588,871,666,
180,046,847,070,799,656,329,704,499,598,308,910,563,199,158,578,578,649,291,
575,886,261,033,611,017,409,772,785,527,367,238,320,205,144,889,683,041,692,
916,740,758,189,818,563,421,341,231,220,100,048,745,093,771,393,486,887,482,
518,580,533,363,096,196,129,128,773,088,315,331,129,477,521,073,916,205,622,
811,984,297,690,455,887,497,558,779,690,606,070,166,151,333,242,681,127,688,
439,578,326,020,965,948,755,406,846,379,308,248,758,992,109,379,195,865,332,
828,208,052,730,458,483,167,597,118,120,259,020,971,455,753,497,942,171,113,
576,864,657,128,031,092,234,844,782,458,639,403,284,295,498,324,741,142,263,
781,566,000,860,326,435,194,332,756,335,586,598,533,423,329,002,044,209,651,
266,925,943,845,753,638,385,623,470,817,379,249,968,246,098,308,366,984,701,
122,866,554,457,990,465,391,336,392,490,711,821,397,534,372,123,126,203,070,
068,787,919,879,954,425,857,236,883,478,255,043,176,422,780,526,341,579,949,
024,231,597,342,460,910,211,867,272,555,259,947,178,005,602,383,392,563,507,
245,637,654,779,885,197,075,727,254,585,823,906,668,910,344,799,603,306,355,
656,390,206,007,233,726,272,410,611,601,692,984,706,082,819,145,710,433,293,
308,567,159,703,866,568,783,366,230,756,153,355,015,882,496,886,984,591,066,
832,181,754,556,140,136,330,327,845,290,045,035,673,609,040,950,425,987,656,
275,108,665,641,148,762,307,316,023,210,040,886,289,846,837,212,652,578,671,
356,756,025,277,523,079,772,880,494,102,640,699,725,258,722,029,623,551,690,
016,379,690,632,495,471,317,922,857,324,608,115,064,347,596,211,513,260,580,
287,565,340,892,196,656,239,436,043,519,639,200,726,916,922,560,789,757,740,
722,557,832,253,542,077,522,889,441,604,695,350,005,114,384,301,348,837,003,
314,113,547,301,813,530,273,381,577,016,719,313,675,631,007,082,929,052,903,
211,381,014,038,237,324,113,605,854,827,474,344,964,177,910,049,402,172,515,
011,325,976,353,658,722,475,908,603,760,489,329,879,915,772,673,344,559,349,
092,554,065,626,615,191,273,431,081,980,546,727,260,320,321,014,640,990,393,
982,730,497,497,899,796,768,323,950,877,109,393,438,289,662,267,500,211,384,
329,220,646,462,543,383,968,905,789,962,452,016,552,644,745,160,457,763,512,
204,482,460,485,094,632,225,987,029,521,632,956,099,168,229,423,982,869,546,
689,546,837,556,280,031,256,410,299,737,711,403,709,254,966,084,547,739,105,
654,905,517,079,440,250,938,052,932,690,679,515,372,144,791,195,858,803,534,
977,635,137,026,732,197,755,653,819,505,043,684,408,780,266,774,402,112,475,
817,274,409,674,043,886,623,409,271,473,555,062,568,520,416,227,215,501,736,
688,658,355,579,964,933,900,465,205,541,040,319,577,904,762,042,790,104,781,
262,503,226,805,384,583,485,996,185,898,563,458,869,139,837,450,838,386,279,
194,592,886,985,244,576,124,585,209,176,361,027,409,077,432,393,147,389,287,
001,173,667,911,340,777,407,568,404,251,395,550,269,339,819,271,443,055,344,
282,805,522,458,696,707,315,812,203,489,531,993,601,315,978,732,707,978,182,
408,509,728,282,995,522,435,755,506,363,656,421,479,207,443,025,871,384,169,
797,244,126,319,348,117,644,797,599,398,015,961,628,284,417,483,462,186,858,
266,402,387,760,331,615,732,315,040,311,759,897,069,170,658,989,336,958,373,
617,420,827,348,267,485,531,726,779,284,423,536,760,663,467,090,649,283,766,
990,048,002,097,285,414,073,915,629,006,219,579,455,515,424,899,525,951,979,
783,778,408,927,970,612,360,255,868,745,235,467,965,680,173,405,054,370,690,
619,834,349,765,238,298,673,418,860,939,811,408,019,068,141,325,180,733,811,
457,377,377,909,763,205,253,937,114,547,318,973,938,562,451,433,212,017,391,
813,700,348,569,285,452,497,432,807,867,091,586,182,789,766,060,596,685,759,
879,207,667,938,180,760,091,801,102,831,361,807,465,184,771,951,266,535,588,
841,610,370,316,360,594,567,531,571,383,741,129,910,353,692,391,548,680,343,
736,119,572,370,473,648,710,717,432,560,700,881,711,757,513,650,897,906,941,
756,016,974,815,066,960,693,892,235,408,263,465,495,606,779,158,473,818,637,
304,780,054,845,282,685,615,641,254,790,909,635,429,335,292,331,514,174,458,
780,437,176,326,381,946,739,439,298,536,194,359,109,243,770,462,605,931,981,
435,142,592,152,025,564,375,869,862,215,842,863,349,992,971,447,387,283,792,
788,745,047,480,371,516,279,026,376,485,437,476,853,732,593,300,621,084,158,
336,227,183,863,596,842,618,201,921,862,970,662,732,671,990,412,251,026,471,
808,172,266,122,980,959,375,695,183,095,756,981,997,892,046,750,186,330,918,
296,444,268,648,682,429,720,429,993,788,531,049,666,401,092,530,998,429,761,
378,428,373,234,619,400,885,050,345,824,622,551,832,916,075,420,768,855,774,
778,412,372,211,741,881,195,167,085,172,975,808,849,239,385,243,305,176,419,
117,691,610,447,680,355,495,962,501,591,133,177,696,506,286,817,869,153,331,
652,991,798,673,060,394,603,754,580,276,893,367,621,660,255,067,136,536,939,
641,842,549,575,100,539,632,073,921,864,960,672,781,506,320,796,038,195,382,
985,604,048,202,813,741,055,839,482,086,476,840,062,446,832,031,662,082,221,
482,310,818,356,628,700,442,352,991,967,544,396,234,450,755,177,049,528,539,
786,009,551,053,765,834,821,080,934,317,061,264,210,654,029,994,210,310,739,
316,943,429,848,229,438,382,759,425,926,681,316,011,698,080,245,634,876,984,
794,951,855,892,813,353,354,948,402,773,812,258,727,314,232,955,045,846,347,
068,971,752,151,328,644,984,932,767,635,107,994,694,024,640,949,345,622,066,
108,139,896,204,929,063,809,092,227,180,472,499,852,662,534,199,124,027,730,
984,531,147,798,254,812,302,776,606,179,732,892,364,941,666,506,421,158,537,
607,212,247,285,320,095,502,400,636,066,513,735,990,541,128,491,252,858,256,
443,387,693,708,759,896,849,162,254,098,097,507,197,388,587,054,899,356,561,
645,401,265,762,784,051,599,986,273,177,540,202,081,988,684,398,029,739,461,
214,038,752,623,405,657,889,380,870,897,602,952,078,300,999,100,909,957,586,
864,350,802,379,342,472,309,519,133,604,457,977,119,354,298,800,176,360,423,
394,667,939,206,088,175,901,571,284,061,639,160,169,306,330,000,507,077,792,
869,131,772,538,046,346,796,145,710,624,384,611,002,807,604,761,092,729,912,
919,645,027,526,972,249,557,425,434,150,835,705,649,214,142,268,080,125,144,
656,307,096,142,363,663,389,078,383,083,715,340,220,431,826,845,636,627,258,
043,374,819,287,004,221,067,537,147,447,615,443,222,660,590,538,908,233,746,
502,663,212,963,769,568,330,429,757,340,903,102,014,954,381,709,093,145,495,
959,767,943,928,455,273,244,171,065,537,842,374,048,655,726,592,988,384,254,
174,456,034,593,863,447,181,444,834,680,147,532,625,346,500,985,054,595,453,
188,661,724,068,821,934,678,468,165,541,166,304,114,759,784,317,248,388,406,
696,765,744,748,611,038,747,210,265,544,743,349,076,429,152,802,666,305,722,
021,125,055,417,003,901,051,505,586,597,029,279,467,803,023,963,050,655,807,
976,578,962,730,016,823,761,826,786,647,543,720,149,985,291,150,100,962,434,
963,293,574,561,141,973,715,339,788,578,362,455,417,686,494,599,511,461,666,
262,464,232,664,060,666,054,270,156,570,640,961,140,909,296,944,645,805,327,
031,290,390,873,024,078,450,696,956,353,992,456,801,323,089,377,799,376,775,
171,361,141,667,221,704,502,369,536,487,480,119,855,765,994,839,612,766,646,
320,344,630,844,507,037,968,823,587,584,475,604,939,053,155,843,214,548,580,
767,787,506,521,522,200,815,831,938,857,099,361,701,558,734,057,993,676,854,
482,406,212,388,996,191,467,501,699,829,958,230,752,046,059,957,910,610,376,
286,738,949,775,143,753,172,830,096,865,575,609,259,771,843,807,358,856,081,
470,690,478,700,523,382,668,864,994,776,114,126,873,341,913,249,612,409,326,
674,590,406,764,165,045,516,198,377,264,674,907,606,005,120,491,809,563,110,
298,155,423,227,357,157,964,419,181,409,026,844,497,813,176,669,945,659,429,
385,655,229,267,429,108,492,931,423,608,015,531,049,181,553,181,327,912,714,
461,149,138,408,958,443,763,582,337,520,424,404,688,214,352,103,563,888,883,
477,458,800,392,136,003,352,390,721,226,537,208,354,546,332,904,301,648,574,
215,563,081,847,407,172,263,833,913,199,102,774,596,728,814,443,512,901,433,
039,658,955,142,654,527,206,680,443,602,184,866,359,662,724,800,308,549,330,
949,741,235,928,653,484,146,633,968,242,348,166,365,033,719,018,514,594,097,
696,962,131,386,496,053,454,198,439,805,841,320,209,687,964,842,902,930,085,
086,174,944,307,953,953,784,132,751,522,982,000,396,788,943,051,425,252,631,
158,074,442,418,573,530,092,278,542,472,224,826,255,162,605,397,102,680,225,
514,871,070,342,504,014,890,819,363,128,202,199,394,813,840,776,361,814,450,
561,868,758,592,791,085,083,553,915,771,376,675,794,110,360,807,540,961,660,
411,223,351,242,167,755,046,079,134,451,182,999,784,523,574,111,885,475,733,
679,126,024,428,105,639,779,289,935,663,424,665,217,841,772,391,517,988,913,
955,965,868,560,932,373,357,248,323,589,286,090,817,070,362,941,563,980,033,
852,615,162,073,954,343,340,194,760,871,123,342,212,939,189,507,381,657,798,
666,439,002,957,236,772,607,266,667,095,967,817,846,837,189,099,501,681,149,
595,872,618,597,107,856,044,241,385,329,573,538,429,963,414,074,106,740,496,
800,747,566,909,188,871,849,605,535,858,439,031,352,470,622,225,572,791,901,
451,667,540,446,837,672,455,104,448,083,517,432,279,164,979,079,082,679,427,
970,783,617,077,379,486,161,826,440,765,862,352,687,246,071,717,041,264,604,
764,396,258,464,990,737,310,924,170,972,215,280,405,359,110,549,672,461,664,
195,375,653,750,335,958,451,042,218,452,771,415,701,135,420,255,413,200,156,
151,564,306,470,878,772,742,218,690,930,230,570,203,660,531,947,297,360,002,
246,177,818,102,952,808,618,164,567,388,131,368,199,078,300,864,757,287,131,
500,885,200,296,228,562,288,047,853,275,009,927,063,303,720,468,533,960,908,
241,287,694,718,156,562,833,994,736,099,542,325,926,504,163,480,912,734,901,
568,062,411,187,124,676,852,747,446,751,031,526,861,627,713,900,053,103,302,
768,747,108,245,211,000,001,537,020,622,951,150,944,694,090,321,399,201,447,
183,906,214,548,714,448,310,760,800,497,391,393,862,065,745,244,843,319,150,
732,702,176,971,449,572,942,627,288,024,778,390,252,656,077,021,444,335,671,
113,821,974,926,654,472,332,215,239,692,804,745,726,064,655,156,762,503,239,
463,765,020,012,807,694,231,845,316,009,109,308,858,887,885,245,676,556,812,
162,504,392,515,290,812,168,559,446,426,127,738,246,936,598,064,242,170,694,
255,463,448,687,532,262,693,395,395,995,291,541,239,025,217,745,783,805,090,
743,981,563,260,720,574,752,045,653,986,357,449,058,700,398,447,728,622,242,
565,791,544,879,301,996,099,011,177,146,239,560,634,085,911,830,960,705,775,
198,754,583,872,854,377,207,488,897,326,697,695,134,643,040,977,177,676,914,
379,053,033,569,957,986,663,725,532,956,330,889,488,668,032,840,035,627,515,
813,980,628,024,972,130,518,728,826,936,247,650,502,964,214,898,390,115,022,
987,889,462,146,784,918,960,959,503,378,919,076,697,829,077,662,560,935,998,
690,169,311,353,055,030,447,945,828,310,302,108,184,121,060,638,376,036,158,
346,612,659,032,120,863,016,158,586,555,296,516,021,382,057,843,181,830,330,
930,892,188,620,528,866,388,948,391,931,524,346,919,340,010,850,043,585,653,
525,673,049,510,844,672,933,955,268,384,751,467,207,959,544,719,975,884,620,
493,084,398,941,633,240,559,008,174,506,682,028,419,070,075,780,375,688,988,
144,691,246,697,764,425,330,744,628,059,282,746,369,095,883,467,539,628,849,
330,071,795,843,125,332,387,112,598,552,587,416,947,882,635,885,354,412,570,
957,674,909,186,430,394,289,388,231,536,520,037,584,601,027,314,475,787,634,
522,255,746,088,229,531,061,265,662,632,012,580,896,613,493,671,913,984,602,
379,994,646,838,809,855,810,484,372,334,094,336,711,585,938,177,287,486,257,
916,314,260,302,367,942,381,203,501,311,446,866,745,690,788,267,413,177,675,
534,003,009,487,717,519,635,772,362,834,289,682,129,493,376,888,180,297,159,
287,177,385,622,611,343,275,057,416,513,125,155,316,975,422,499,232,693,832,
037,854,325,774,279,897,728,148,801,503,257,627,083,921,461,325,364,959,975,
756,368,232,526,332,887,461,439,089,285,216,594,178,905,472,976,503,570,365,
058,093,693,511,976,884,573,269,305,811,656,636,876,995,852,456,063,071,924,
319,376,566,020,833,581,860,943,625,603,730,932,358,569,695,959,078,662,043,
205,528,807,153,916,950,508,243,322,875,647,775,687,625,307,033,776,662,590,
748,456,615,626,526,938,025,238,841,686,948,079,055,454,718,006,046,738,441,
868,026,714,998,384,211,157,489,561,294,393,082,569,193,727,111,464,589,444,
730,126,374,902,251,987,081,304,056,413,890,005,699,920,404,594,187,823,117,
368,203,555,900,851,588,759,704,204,307,107,390,652,926,541,898,037,407,369,
240,486,445,795,856,534,547,782,410,501,512,658,710,963,548,463,809,869,230,
391,652,811,061,092,786,971,908,760,974,876,425,981,613,200,537,260,914,507,
160,623,512,532,711,520,313,563,877,857,223,384,837,087,070,234,792,797,226,
418,927,429,693,231,725,113,465,417,348,838,573,348,411,374,399,487,787,626,
681,410,716,773,737,505,141,970,108,469,783,700,049,708,669,084,166,391,648,
660,760,325,685,632,619,720,711,072,089,597,566,711,477,223,274,894,630,949,
979,213,627,628,652,697,834,465,949,106,138,880,652,252,062,277,711,542,123,
477,854,659,643,207,537,876,392,871,525,727,674,569,770,108,526,202,985,778,
526,826,805,281,670,325,285,831,831,327,950,277,867,056,235,212,546,210,498,
240,279,521,558,342,523,707,754,597,918,826,709,865,115,060,210,728,162,156,
428,294,286,398,605,148,229,529,460,759,992,060,511,057,876,555,918,879,672,
212,660,893,847,052,629,074,828,385,641,772,255,472,105,268,122,096,747,432,
240,932,473,226,591,881,097,199,272,130,403,988,624,528,237,533,129,126,039,
090,487,929,064,080,883,632,638,282,792,529,810,666,249,933,519,407,555,092,
549,906,510,781,455,329,489,630,405,293,940,540,802,299,513,374,362,258,457,
659,815,253,683,634,791,518,093,730,342,672,136,795,226,449,521,732,130,425,
212,932,534,489,747,834,395,019,488,485,693,414,816,080,252,706,284,464,872,
538,176,926,003,842,296,566,903,328,708,602,916,376,500,709,321,969,902,247,
908,453,537,548,256,509,895,652,083,842,615,627,065,714,597,696,918,233,990,
379,592,799,356,419,416,452,943,066,436,590,880,915,483,165,290,040,614,848,
516,968,381,163,195,630,663,289,508,771,412,373,117,476,638,634,549,672,619,
353,868,919,848,358,760,366,333,867,301,063,228,657,063,002,599,917,390,041,
641,898,531,566,044,600,448,728,393,845,182,900,766,449,338,994,329,321,370,
866,821,775,607,245,791,229,257,276,488,468,558,658,789,071,988,739,094,323,
644,398,257,626,939,137,597,880,692,305,415,481,461,898,235,840,988,370,072,
780,238,069,999,692,481,488,675,344,220,336,314,444,320,323,503,864,153,980,
796,143,938,557,701,325,143,396,768,187,130,235,604,676,187,920,922,182,114,
448,519,492,385,894,806,834,432,309,118,818,642,848,073,450,957,517,662,985,
111,064,447,273,658,949,063,793,810,277,538,438,624,441,493,166,243,641,742,
105,877,463,211,265,240,487,476,179,692,314,884,959,497,640,204,058,288,762,
936,555,295,626,660,908,404,355,467,923,905,943,034,791,514,987,215,011,291,
050,677,206,552,529,509,298,376,634,767,693,776,284,247,480,906,590,155,252,
132,213,992,027,310,137,822,840,693,087,433,517,375,427,536,794,695,141,190,
951,517,621,788,101,760,782,358,752,228,947,456,172,305,205,683,855,347,106,
057,492,290,366,747,454,096,104,505,196,094,915,727,134,092,902,149,391,933,
665,946,176,811,980,995,481,664,119,077,316,810,816,166,214,918,255,529,636,
565,613,198,012,905,031,872,293,357,473,455,798,961,319,543,100,053,648,429,
659,458,209,603,118,762,262,894,742,189,216,209,038,872,811,016,592,846,598,
094,856,673,998,889,538,886,636,347,312,562,876,942,389,802,479,673,817,119,
048,526,253,531,911,637,737,468,858,054,565,695,398,862,864,619,983,570,256,
278,530,923,340,443,194,346,305,083,994,429,414,468,264,186,179,734,338,996,
128,912,403,647,951,816,979,221,074,207,461,942,764,043,503,234,076,071,718,
199,532,806,604,711,395,467,473,033,339,260,952,356,708,192,929,708,083,488,
872,504,160,830,856,354,656,544,926,975,300,289,175,102,855,922,920,074,828,
662,992,850,651,711,748,323,772,090,793,609,298,602,182,527,228,987,757,951,
418,479,062,325,915,021,146,492,938,795,754,075,251,507,356,759,783,841,430,
105,731,556,181,208,532,046,108,472,458,554,024,918,021,760,972,658,157,547,
181,804,394,818,890,993,854,448,660,613,697,434,016,869,269,574,198,809,470,
812,706,637,324,008,224,899,758,141,510,465,208,790,103,376,194,581,549,337,
574,443,585,206,267,392,957,744,078,521,498,836,387,921,952,621,012,931,563,
578,363,468,775,309,199,246,891,884,521,753,903,792,081,050,575,495,462,538,
243,611,724,962,409,069,323,100,374,742,705,683,944,866,270,792,291,333,991,
902,210,830,036,695,246,969,842,360,141,989,960,535,043,148,079,485,722,011,
399,115,722,245,138,569,964,914,520,003,397,535,082,819,951,171,921,194,338,
726,143,465,058,346,968,509,237,350,205,231,605,293,228,099,205,848,135,067,
259,419,641,018,519,254,256,334,104,691,159,959,896,266,136,980,888,376,506,
122,663,617,436,877,380,576,693,785,117,262,618,021,956,899,117,785,216,685,
271,296,987,124,648,628,989,295,950,936,596,210,901,450,427,697,423,932,511,
507,082,251,015,858,940,059,332,224,435,079,225,046,541,048,901,174,922,350,
480,970,093,190,265,528,648,917,953,724,208,019,260,197,049,720,385,015,107,
481,082,896,156,667,835,568,484,417,431,354,376,051,712,758,590,889,976,607,
421,241,685,210,804,894,359,804,470,737,369,586,273,739,444,236,237,039,847,
359,496,923,157,208,074,953,123,450,389,003,696,214,677,208,108,948,373,510,
129,582,158,988,016,923,506,820,112,799,636,266,840,048,225,650,421,953,876,
586,361,737,583,048,466,304,086,444,656,754,674,137,744,706,906,190,220,688,
751,947,886,337,999,731,194,395,471,204,277,074,231,735,800,919,869,476,320,
596,071,689,915,631,319,731,219,599,212,882,694,791,754,790,026,538,604,014,
611,081,741,729,159,924,031,042,008,380,037,152,144,495,458,430,233,635,583,
805,738,260,601,844,695,451,633,487,892,598,857,050,850,706,646,037,505,754,
923,391,935,594,691,533,052,449,475,144,955,255,350,216,233,578,575,204,324,
203,339,936,328,146,631,846,360,470,925,942,739,087,026,590,912,465,284,402,
464,488,036,504,583,355,490,836,845,527,294,104,720,570,958,636,412,817,842,
945,926,978,589,535,244,251,556,985,026,917,865,344,064,034,615,565,132,430,
605,837,170,735,687,146,701,159,937,824,152,853,726,155,463,471,464,552,448,
536,057,349,706,426,340,594,681,837,638,492,613,024,643,383,117,101,178,900,
366,491,299,895,547,488,768,005,243,490,408,598,961,629,830,185,290,375,140,
128,716,533,221,333,888,865,230,199,710,428,907,649,533,429,731,464,007,543,
487,216,639,429,988,101,072,555,227,248,129,975,362,575,084,171,950,369,682,
791,455,229,064,028,007,012,607,881,862,987,337,453,476,804,622,449,022,950,
847,936,799,692,612,308,869,577,536,024,182,336,563,463,367,319,189,950,859,
738,932,960,360,407,720,557,643,045,213,013,803,333,497,996,665,838,531,864,
286,481,515,473,988,765,204,001,601,233,926,597,191,255,877,272,894,659,885,
773,317,705,496,742,027,328,200,602,915,734,428,655,650,264,998,631,054,710,
730,373,380,564,015,597,083,941,242,255,194,487,086,366,639,328,612,878,615,
636,597,030,118,631,049,813,639,741,629,288,370,066,856,603,970,050,268,420,
339,055,561,422,581,055,101,516,848,841,863,572,561,419,772,819,049,415,832,
688,683,631,630,253,110,942,652,409,925,830,832,412,710,515,098,385,460,811,
546,519,180,308,124,508,726,611,081,042,607,603,819,033,899,637,562,565,268,
543,472,729,404,434,388,157,744,703,875,796,506,718,903,948,255,976,196,863,
121,207,549,932,141,487,643,202,641,895,835,574,435,107,335,483,001,082,912,
534,157,163,905,197,052,621,895,503,919,414,899,692,572,527,373,417,482,123,
810,377,828,947,007,325,613,344,829,232,944,474,285,797,557,754,860,334,533,
965,080,209,682,384,363,233,758,362,151,120,046,212,310,578,361,975,101,941,
216,725,126,299,678,660,679,275,640,726,300,976,719,161,458,793,207,843,563,
340,853,669,844,438,620,962,404,685,087,275,837,731,275,365,782,903,162,763,
294,812,846,035,256,060,576,171,862,369,895,380,159,132,164,870,659,515,008,
650,670,801,387,374,393,028,450,134,541,412,858,720,014,279,951,036,078,669,
442,328,403,814,248,453,580,524,176,305,356,336,661,331,507,723,350,135,693,
798,081,815,868,208,433,716,774,264,341,229,834,461,366,559,886,216,259,307,
569,356,020,034,796,581,909,486,796,137,760,230,761,406,903,124,551,888,814,
045,685,994,351,211,295,145,643,991,980,060,243,996,453,127,827,871,887,075,
693,091,837,796,572,235,062,732,375,970,138,529,645,973,048,182,174,891,620,
786,572,967,380,419,508,123,283,840,765,299,364,331,326,422,500,645,381,530,
437,667,427,430,827,972,349,626,183,066,737,096,165,342,004,988,386,972,010,
354,284,807,014,385,986,117,653,866,839,393,756,074,599,347,376,490,532,428,
311,952,045,121,466,521,381,009,004,257,192,733,729,377,444,691,163,350,215,
462,516,547,800,007,662,934,413,828,225,184,559,422,790,762,847,403,089,704,
278,326,897,029,122,337,686,824,352,401,489,554,007,438,323,495,560,143,051,
430,439,911,381,493,499,164,321,004,861,171,546,548,680,059,259,875,852,406,
162,037,701,881,770,676,327,285,683,762,637,022,311,347,996,101,716,271,090,
656,560,415,087,116,083,722,151,848,238,737,680,956,730,620,253,572,072,501,
580,868,962,019,541,843,489,544,382,856,942,968,755,580,696,471,583,541,056,
240,744,785,855,754,598,642,641,800,996,347,005,818,133,218,970,351,353,110,
792,634,883,177,252,442,455,538,901,748,775,064,710,596,941,848,565,236,354,
984,797,995,173,629,158,800,876,433,264,976,514,400,703,145,973,309,065,907,
637,518,962,113,692,904,872,961,151,334,827,646,948,642,872,465,763,035,619,
231,511,491,647,579,200,500,744,367,795,828,841,383,936,967,158,642,486,896,
704,715,106,022,106,231,038,149,294,970,758,283,021,507,328,462,193,380,112,
296,276,477,109,955,341,524,219,486,659,107,704,079,363,222,711,394,178,079,
666,514,068,278,974,955,370,053,676,920,007,700,046,728,991,781,160,636,707,
777,626,248,337,124,300,219,460,786,489,424,289,125,437,459,889,627,824,713,
806,344,482,167,208,815,915,848,753,540,820,966,559,906,009,531,846,697,221,
889,042,626,598,185,010,581,023,339,313,936,158,558,942,662,483,041,282,645,
828,584,392,538,000,868,514,389,290,532,411,070,905,073,023,172,158,202,148,
528,863,797,405,640,277,278,239,849,919,125,646,013,130,168,110,131,328,856,
855,442,622,286,754,396,315,725,504,737,912,166,332,368,318,462,158,402,508,
141,754,031,718,496,562,801,754,240,543,298,254,976,371,051,907,916,622,728,
775,526,990,762,195,324,486,890,280,306,480,369,473,816,275,822,283,574,559,
491,315,260,491,974,966,760,451,344,008,903,379,928,134,265,252,330,669,227,
874,766,378,015,667,364,909,785,344,806,816,697,582,796,758,856,913,283,751,
397,479,891,594,575,452,196,394,111,330,850,278,210,745,868,365,121,439,982,
602,993,105,740,585,095,726,273,900,453,739,929,696,583,213,477,889,524,150,
126,280,444,307,815,306,193,651,356,013,199,955,463,778,447,176,661,726,364,
163,596,507,108,759,403,327,897,640,223,378,623,672,411,667,326,823,174,193,
936,091,020,852,968,237,886,624,621,814,513,651,358,545,914,363,966,950,589,
459,925,207,263,546,991,482,791,375,260,527,920,337,113,326,647,862,697,485,
427,202,579,356,650,497,204,969,123,592,238,619,395,320,575,428,027,092,854,
357,177,756,482,726,135,576,004,325,539,846,649,161,600,356,670,525,044,586,
196,963,910,072,014,309,251,624,491,988,328,812,289,343,175,160,952,086,064,
325,185,354,822,374,896,061,647,981,755,023,680,035,953,357,165,633,293,006,
226,908,026,778,626,168,588,617,816,174,590,592,104,030,041,240,474,027,386,
649,281,842,549,683,249,361,118,619,653,062,050,772,169,157,407,087,849,092,
514,775,066,430,848,076,644,586,177,171,585,567,902,249,716,921,392,014,450,
952,147,130,819,788,829,225,849,853,315,448,681,676,437,156,287,131,396,755,
140,577,671,906,605,109,820,278,415,378,640,019,338,249,452,766,300,923,760,
454,245,467,728,582,724,473,338,432,563,829,960,833,946,692,845,278,525,218,
997,184,587,389,335,908,714,558,908,369,809,877,643,929,905,024,416,868,417,
722,624,780,870,674,412,903,687,153,476,315,752,193,453,285,179,462,004,954,
379,275,177,591,940,142,448,537,328,859,755,259,556,274,700,091,047,386,718,
895,417,525,079,393,600,057,550,223,493,520,663,883,379,658,420,299,065,980,
427,612,238,456,630,972,916,011,965,899,006,641,814,984,372,277,080,932,481,
828,788,030,320,725,214,975,050,056,134,563,494,925,116,632,906,161,414,659,
236,073,726,379,863,805,206,954,827,776,135,047,796,816,894,069,903,353,523,
053,274,231,296,106,167,217,135,131,133,387,874,698,547,602,250,494,416,165,
696,503,502,360,757,545,624,504,874,897,264,170,402,772,350,888,741,010,501,
685,159,838,176,672,610,402,352,548,104,878,902,893,708,035,216,531,817,509,
271,579,608,083,955,160,290,691,270,874,169,901,013,973,672,987,051,326,538,
268,479,756,520,157,455,726,346,177,948,902,106,354,542,371,826,645,495,101,
168,291,007,975,573,892,277,581,848,385,550,831,769,322,802,649,807,052,309,
137,703,988,983,631,488,598,760,636,016,389,036,372,021,877,420,366,010,309,
446,339,203,667,927,636,935,326,582,643,821,723,897,690,082,128,857,229,261,
569,474,972,610,333,392,231,842,708,799,560,873,100,984,612,059,499,425,490,
439,141,414,564,179,574,162,968,836,234,059,211,375,139,046,834,227,070,345,
019,311,821,744,065,321,946,320,034,899,656,156,929,774,238,052,968,037,477,
726,153,610,396,060,792,593,550,048,547,394,256,951,016,316,822,556,835,470,
171,226,777,736,566,718,503,643,319,211,336,274,400,337,612,533,714,661,574,
627,554,204,524,064,420,181,159,475,947,546,271,296,212,552,626,900,966,618,
130,725,518,503,477,824,113,412,744,889,823,247,974,919,010,203,832,625,688,
515,013,183,349,364,509,400,606,162,888,949,478,177,448,947,683,711,553,269,
747,613,591,858,032,161,713,205,586,050,914,912,914,615,821,724,676,441,867,
569,731,529,389,615,166,787,465,298,394,788,503,479,552,106,349,369,783,879,
500,468,753,526,245,500,573,052,542,283,540,527,862,528,351,110,310,593,774,
991,230,200,809,550,465,990,531,296,228,520,068,711,591,023,663,154,551,257,
517,975,822,471,807,169,064,380,636,154,103,765,626,897,825,145,812,592,618,
868,921,332,549,869,582,175,179,685,048,663,979,856,139,708,618,604,960,263,
005,290,015,121,050,205,761,252,470,748,606,811,021,140,974,671,393,682,566,
677,815,983,807,274,547,836,345,581,079,104,306,864,707,746,932,304,958,093,
877,698,097,043,766,507,178,069,349,111,108,444,680,989,850,630,297,489,099,
051,104,732,431,974,705,915,087,013,340,123,586,998,009,969,448,687,926,038,
245,590,517,851,758,174,730,370,154,212,099,365,135,460,858,149,334,798,262,
707,971,585,585,515,623,712,060,822,225,795,309,001,579,022,324,186,239,966,
178,405,567,943,578,543,065,897,231,129,529,551,408,465,542,420,115,363,245,
247,548,468,199,120,971,612,859,704,684,752,334,129,799,204,364,975,860,424,
533,129,254,495,797,725,493,392,558,551,863,136,098,190,354,227,669,474,375,
680,733,586,640,124,379,827,432,488,833,609,298,936,966,492,744,470,997,163,
243,316,182,520,084,714,434,444,964,647,497,532,832,167,901,403,004,540,678,
912,593,194,983,960,049,696,957,716,081,075,838,455,681,594,604,930,361,737,
199,896,930,794,573,786,875,014,281,775,508,505,618,531,888,642,697,541,716,
000,997,259,641,032,590,176,050,915,107,606,312,887,130,536,103,679,757,495,
798,628,205,210,461,572,514,183,452,058,643,547,927,252,041,548,242,743,172,
358,222,235,754,593,527,391,375,556,456,826,539,866,992,415,009,816,722,769,
737,352,910,015,081,316,686,863,116,759,471,467,888,967,127,804,020,746,917,
784,300,866,004,517,666,538,818,799,750,155,149,494,322,084,886,884,928,255,
816,528,817,021,270,322,578,653,589,537,931,572,574,390,208,125,981,303,164,
344,085,738,215,337,832,190,114,258,161,855,779,429,880,106,678,296,488,474,
925,588,910,666,578,658,440,944,920,119,894,241,074,478,547,301,895,371,528,
069,492,365,099,221,774,585,751,653,859,835,355,208,513,255,086,594,322,746,
420,404,134,196,325,321,303,107,790,457,899,697,466,127,994,638,998,845,635,
946,488,823,769,305,471,824,870,898,450,528,534,229,130,091,005,609,720,472,
409,693,395,540,418,026,944,651,337,661,828,534,293,317,045,548,124,984,635,
734,513,771,463,840,225,151,738,099,219,352,041,888,289,732,621,416,304,026,
291,561,560,674,261,167,722,669,572,755,186,447,996,273,713,455,507,922,398,
840,659,634,210,319,251,053,809,396,937,293,068,379,246,365,830,385,706,299,
666,753,148,597,762,122,534,252,360,599,591,727,617,330,890,857,549,538,789,
730,568,905,707,320,739,160,723,655,530,341,269,441,836,118,250,619,995,173,
457,102,507,125,170,140,531,245,750,095,317,573,995,723,803,145,349,081,224,
207,903,540,075,855,447,956,057,539,114,977,628,496,452,079,269,511,288,136,
413,105,851,727,065,727,114,836,667,909,444,973,719,657,126,282,950,961,346,
993,330,828,072,020,318,483,218,120,697,772,636,997,900,598,313,730,383,511,
643,082,198,856,484,128,166,224,491,215,923,615,726,545,359,639,831,589,814,
388,123,263,741,447,386,786,597,741,357,155,263,392,229,588,209,666,751,677,
587,615,689,630,584,895,368,152,418,171,054,792,514,219,921,210,238,174,856,
288,831,590,006,999,250,346,643,571,518,226,916,724,236,560,246,185,788,236,
353,807,910,199,432,751,271,587,289,462,377,810,677,393,542,152,753,549,302,
568,150,746,699,028,219,570,368,311,946,457,123,129,859,248,764,467,011,705,
079,190,755,298,789,404,968,974,800,113,337,026,177,775,513,925,343,080,700,
806,617,166,166,199,498,056,322,280,621,757,118,113,618,319,075,277,612,181,
297,546,644,193,459,196,648,430,503,060,825,284,583,916,321,278,683,098,230,
480,325,413,563,823,476,788,026,520,870,321,341,117,331,368,722,653,570,577,
422,370,048,019,428,722,414,902,845,179,435,800,308,637,847,707,359,391,027,
441,983,875,244,910,866,916,490,124,090,872,309,765,942,659,793,253,610,981,
001,980,317,794,282,698,214,951,875,045,783,621,535,294,213,037,806,490,776,
101,331,188,920,407,410,679,920,690,239,991,229,280,234,840,579,412,241,807,
570,442,355,357,456,477,894,694,604,060,254,637,662,107,714,363,294,026,672,
645,827,963,884,226,384,151,644,533,126,478,541,618,767,793,354,928,051,640,
671,616,615,924,567,008,137,591,883,112,394,922,459,093,223,164,507,964,132,
590,656,896,311,594,543,796,247,594,913,638,005,515,696,610,112,915,948,461,
347,229,143,268,127,621,548,730,656,409,488,495,663,278,042,225,301,851,998,
245,438,811,142,605,674,451,515,089,101,593,799,868,202,864,024,524,473,553,
744,263,956,825,065,591,857,644,544,829,697,758,727,050,315,824,698,550,860,
617,790,534,367,708,510,468,878,840,150,791,938,149,854,360,799,769,613,500,
847,911,964,863,030,548,489,661,136,702,950,236,618,149,433,620,262,219,529,
996,698,349,897,618,630,749,763,396,066,387,173,837,787,989,359,343,114,508,
442,282,177,242,506,236,536,987,301,318,741,225,806,120,731,199,740,214,448,
882,044,205,002,947,894,633,754,033,123,040,241,497,108,741,557,869,282,428,
920,192,136,541,095,285,625,817,288,063,102,585,295,725,968,928,766,900,506,
062,364,113,470,193,570,273,467,081,315,095,942,879,397,769,199,811,384,171,
787,092,486,911,414,156,704,340,073,615,967,606,276,932,919,091,573,731,857,
876,124,524,241,652,190,243,837,595,981,006,221,520,720,297,533,165,015,881,
560,005,319,388,702,540,156,758,753,550,405,755,772,719,737,917,393,208,432,
141,406,560,931,308,792,922,179,686,663,312,188,368,773,727,863,555,436,073,
478,288,844,668,366,221,892,323,231,834,005,998,220,197,975,336,369,407,560,
534,036,488,700,982,915,229,000,999,965,690,462,767,770,375,833,241,271,360,
928,773,910,865,489,996,211,209,487,009,748,737,869,185,287,115,699,352,525,
238,020,316,830,665,171,864,613,949,275,372,231,505,763,493,347,146,211,646,
880,429,694,224,742,973,325,091,986,932,463,868,897,781,502,956,598,446,278,
385,079,047,879,688,606,307,875,775,815,823,068,163,236,065,311,613,620,446,
616,406,436,342,574,557,287,127,647,780,384,627,263,995,886,068,152,891,813,
551,808,089,340,235,967,487,290,839,992,797,676,678,268,354,895,031,198,520,
093,692,726,974,120,462,953,974,481,436,505,435,559,881,648,685,775,970,935,
440,614,310,420,781,583,014,296,046,198,593,723,368,227,852,937,403,438,046,
077,463,164,475,885,517,071,589,763,538,426,318,716,637,149,777,690,177,538,
261,609,167,106,051,574,217,242,151,587,374,946,651,545,335,299,602,537,377,
709,305,146,952,951,880,716,349,907,348,095,226,682,766,041,690,785,623,112,
609,814,989,282,368,313,559,996,446,506,290,162,634,554,838,069,718,520,438,
850,481,849,142,122,047,338,692,509,209,536,031,808,406,312,594,843,824,892,
837,987,029,485,866,035,928,922,994,511,973,619,335,707,447,584,846,704,916,
850,027,597,106,123,418,763,883,721,196,869,002,967,971,373,871,146,816,416,
114,003,185,893,252,471,040,487,668,518,955,818,526,355,704,974,601,461,130,
113,706,628,721,456,696,092,752,958,143,206,521,054,350,245,394,512,744,478,
971,807,478,990,260,638,507,478,600,507,836,545,931,143,780,760,178,514,022,
476,477,331,242,384,068,855,209,947,085,708,405,625,798,861,911,125,773,393,
036,439,435,943,748,265,010,451,262,533,150,672,924,322,470,007,556,869,574,
732,270,053,921,127,541,877,544,975,909,658,202,406,047,567,088,799,343,897,
921,902,048,383,773,610,923,405,145,143,037,203,004,238,721,269,434,653,251,
200,169,852,448,775,851,668,626,343,855,833,461,741,800,335,469,700,336,614,
916,007,865,818,088,209,444,034,972,894,188,192,770,983,191,610,353,310,729,
655,932,383,472,078,805,534,314,249,095,991,130,620,745,677,974,056,724,065,
275,585,064,831,214,372,033,833,736,136,876,163,669,084,202,545,676,475,746,
853,568,109,553,116,801,749,422,662,935,117,477,851,056,755,737,882,260,005,
554,056,011,624,423,816,223,060,102,019,099,798,394,541,057,365,261,124,079,
250,212,510,009,134,818,105,114,225,845,312,826,448,430,239,309,433,210,437,
590,621,843,771,613,999,108,066,172,797,973,219,251,955,512,494,342,078,920,
156,392,227,264,033,469,031,351,631,892,023,577,939,870,461,317,736,943,873,
989,284,409,042,434,571,688,870,500,118,175,076,063,663,896,906,211,270,166,
729,553,627,745,926,120,898,981,966,208,415,097,673,279,783,128,789,349,069,
269,492,192,639,070,822,950,595,917,128,144,290,252,213,084,393,691,747,954,
338,332,127,096,406,158,812,529,922,729,082,635,291,904,993,733,831,045,991,
271,127,297,005,838,405,545,418,253,098,357,443,212,549,241,031,248,264,113,
375,632,060,701,280,825,164,947,822,064,795,581,444,570,597,133,688,933,817,
119,922,532,310,171,300,551,985,681,337,123,924,998,204,815,542,020,410,794,
754,617,139,251,351,421,616,916,953,790,868,297,469,970,109,525,845,112,413,
974,100,465,681,130,385,690,877,264,900,286,937,607,483,078,171,045,082,436,
840,203,581,736,587,888,406,425,695,972,541,796,533,568,546,784,721,599,190,
753,543,178,395,988,331,335,203,473,540,388,924,476,749,945,666,544,076,250,
854,250,186,592,630,597,145,400,000,918,808,103,969,640,769,661,974,969,077,
804,995,656,151,337,150,923,605,983,213,221,431,765,156,624,584,516,796,184,
497,775,803,229,709,949,961,437,794,857,057,744,960,292,573,172,975,831,684,
018,176,040,226,075,166,834,901,029,105,045,868,279,118,668,370,102,351,953,
953,269,314,847,166,780,348,557,327,221,312,426,611,099,997,096,332,305,748,
714,451,616,432,862,554,152,515,619,021,080,378,098,026,346,884,195,317,472,
884,938,091,484,642,974,925,983,409,275,197,243,557,783,651,883,890,546,633,
094,695,179,446,844,211,663,423,427,126,019,643,936,584,201,189,317,062,494,
545,716,341,586,530,018,650,197,654,978,779,552,328,005,074,364,962,543,399,
858,820,198,087,106,531,630,529,269,203,875,808,629,976,358,727,486,818,828,
256,553,457,912,917,626,473,308,042,521,576,811,158,092,717,993,688,263,545,
589,742,435,843,440,767,514,358,234,524,448,667,388,130,724,314,568,740,211,
699,529,167,787,029,149,989,444,422,785,989,512,905,667,625,656,622,005,988,
415,593,376,083,261,967,580,462,764,222,765,572,137,056,892,334,464,731,352,
043,191,859,139,094,362,556,753,099,979,055,805,720,695,113,299,146,736,155,
010,415,367,841,896,722,402,874,912,622,742,782,189,732,790,376,210,368,644,
824,530,173,027,204,712,222,132,735,758,404,863,706,567,005,475,249,473,605,
703,752,994,028,245,269,672,125,103,480,730,566,677,527,952,271,562,555,167,
839,539,147,637,254,863,437,094,655,961,961,533,870,688,952,330,779,639,284,
469,413,749,413,139,784,860,795,444,486,114,251,195,131,356,454,540,694,746,
906,406,566,095,393,841,396,434,485,620,326,165,218,683,525,693,691,554,694,
258,060,789,892,435,374,822,362,135,333,298,568,863,066,398,638,949,194,831,
998,795,948,533,670,370,966,560,479,083,771,952,599,285,020,297,226,323,564,
396,615,662,065,245,969,377,583,970,296,893,180,141,684,618,842,486,839,522,
087,050,000,251,409,373,473,092,387,682,967,044,240,402,513,831,930,441,997,
786,340,042,402,511,980,968,004,625,533,285,061,523,978,282,901,863,759,002,
327,218,213,963,944,976,857,014,726,240,089,068,290,425,144,262,302,150,440,
100,570,906,371,100,536,059,351,050,017,328,644,459,117,065,154,632,371,944,
599,910,381,130,966,253,930,604,221,700,586,291,563,330,598,693,604,844,014,
543,250,029,154,538,763,867,992,643,085,625,130,363,490,262,761,961,422,325,
824,954,749,365,682,778,706,019,658,350,681,840,672,277,590,701,644,903,537,
843,066,437,599,194,478,543,986,064,817,839,364,364,664,005,075,692,767,483,
994,230,111,175,284,043,996,274,212,199,506,284,222,181,963,363,465,835,902,
176,685,230,194,362,510,745,748,850,873,119,232,969,033,607,580,873,642,309,
057,288,746,851,826,022,932,784,332,162,673,140,018,737,568,880,399,438,405,
924,173,607,823,524,055,934,562,526,542,071,209,451,305,165,646,199,852,827,
903,575,634,807,463,341,192,344,695,263,271,956,083,603,908,629,893,412,345,
467,622,377,647,833,105,083,790,741,065,681,200,722,847,193,398,449,283,823,
275,203,727,845,864,151,452,973,510,853,265,008,238,249,999,636,072,718,232,
059,700,191,836,523,829,333,039,051,415,094,681,214,139,127,059,627,939,335,
098,938,488,448,781,894,242,168,029,862,114,285,012,583,097,826,877,747,247,
800,879,846,835,155,857,826,810,479,994,862,447,633,749,817,344,513,758,835,
742,743,267,210,214,665,094,891,390,109,521,170,595,013,371,234,326,230,029,
587,099,611,264,302,420,361,626,571,091,822,041,698,377,933,537,284,601,582,
132,055,385,872,781,230,023,758,725,798,456,264,449,852,517,901,378,163,574,
449,702,766,079,315,333,797,959,080,669,913,626,553,452,547,911,901,161,512,
600,346,311,501,806,971,298,725,286,071,070,153,100,194,189,194,262,344,218,
148,826,352,984,760,585,735,015,738,123,677,375,794,673,343,242,008,415,550,
605,787,988,912,041,736,326,799,943,480,965,310,562,337,162,087,076,844,947,
460,728,898,522,452,569,107,030,866,298,839,759,510,599,089,947,917,028,287,
757,266,258,861,362,362,267,247,853,279,928,565,455,824,853,439,485,660,412,
210,764,939,340,248,361,709,445,672,461,330,921,929,852,975,416,446,885,479,
362,902,056,543,695,698,130,707,409,122,276,546,230,154,231,508,862,506,191,
153,173,620,746,062,664,187,665,181,451,431,133,607,058,717,129,677,302,929,
789,287,181,298,882,958,148,906,319,150,646,652,940,704,824,271,933,050,857,
493,573,690,979,605,114,399,966,187,285,050,588,983,461,189,697,094,559,896,
694,595,805,643,164,079,431,845,359,089,460,533,294,349,579,591,003,830,293,
451,144,610,186,995,759,925,662,472,954,229,867,757,566,946,728,645,573,220,
177,060,248,492,628,842,968,180,974,845,461,116,141,386,009,881,960,825,951,
652,099,134,829,292,704,088,316,487,107,814,961,099,308,826,934,298,163,060,
331,602,751,170,177,202,760,516,508,256,841,418,179,546,563,456,354,697,101,
290,925,951,743,718,329,144,309,763,446,369,768,952,980,237,531,332,710,350,
162,310,709,942,293,154,382,075,489,820,215,826,998,367,703,695,951,340,631,
065,597,598,202,465,122,705,277,087,380,320,519,689,700,559,825,047,021,256,
670,734,503,255,081,036,773,456,573,282,879,831,815,540,290,969,745,430,803,
002,140,854,469,925,507,712,089,106,245,081,815,565,915,468,688,486,582,320,
492,849,171,033,734,282,731,950,302,353,234,381,418,083,945,453,932,246,813,
989,789,973,718,540,948,191,265,456,742,089,740,118,635,442,863,905,309,817,
406,448,448,269,464,647,340,770,212,217,583,126,119,777,856,820,190,942,380,
638,002,755,729,108,280,654,410,138,857,862,492,618,758,162,717,071,397,248,
374,826,962,013,585,263,267,960,699,458,896,158,702,980,900,079,092,408,543,
698,263,503,660,440,061,277,369,849,491,111,963,337,387,272,969,028,612,272,
118,371,475,085,422,270,747,298,391,695,240,220,762,280,395,317,978,213,342,
228,353,304,946,406,306,353,560,866,696,480,871,771,863,869,368,723,127,565,
023,686,004,850,459,300,119,859,145,772,788,384,503,262,643,279,980,321,173,
064,474,860,912,112,352,817,248,535,133,645,421,004,758,094,885,916,254,833,
190,752,585,867,719,240,895,310,143,620,925,095,759,764,308,473,993,378,362,
033,807,725,283,143,192,203,158,513,841,306,014,253,250,979,014,746,148,173,
750,085,330,308,386,041,737,813,208,517,504,809,834,392,127,403,145,731,700,
823,830,258,285,911,358,832,532,057,000,817,546,526,688,994,954,906,235,877,
717,900,290,822,564,295,486,458,549,509,207,513,590,410,172,462,559,511,696,
457,337,378,333,726,307,245,756,000,818,664,871,720,797,189,330,251,623,158,
892,589,674,018,622,106,615,314,749,867,105,635,253,259,960,021,131,223,604,
858,779,864,149,253,308,660,630,746,446,949,629,585,175,290,257,705,810,458,
958,388,199,695,419,942,141,586,968,708,634,860,185,539,036,067,095,207,327,
066,867,476,368,111,263,257,939,814,239,102,560,146,146,748,114,829,546,924,
076,523,233,152,938,792,575,837,928,033,052,896,909,185,332,688,532,722,476,
373,488,532,813,464,731,663,928,958,746,091,856,457,893,048,400,319,445,948,
062,114,374,821,733,827,569,683,573,949,281,739,720,394,275,109,791,367,299,
852,706,189,643,648,478,988,959,109,485,918,583,174,284,637,951,551,458,208,
263,172,705,578,485,637,653,058,746,974,756,791,217,603,963,148,792,129,729,
851,759,243,327,381,550,082,692,450,904,928,432,948,746,899,161,294,469,058,
322,436,438,329,602,388,639,098,110,128,647,416,341,754,274,984,251,130,260,
490,065,988,472,763,822,856,730,548,297,689,514,924,143,700,638,320,388,310,
591,450,472,209,326,045,070,192,379,270,742,906,934,451,823,350,230,573,612,
194,980,549,877,260,077,786,212,273,451,975,880,780,398,911,189,863,942,390,
799,393,994,455,060,275,942,764,161,310,654,895,488,767,099,798,671,385,002,
975,351,511,691,380,704,000,652,973,573,246,460,830,942,004,917,756,356,877,
424,734,958,544,426,737,516,084,941,068,555,899,433,598,665,316,816,576,020,
647,320,625,842,313,583,509,265,031,008,899,308,884,389,588,431,600,499,181,
397,093,223,470,844,082,323,036,437,352,211,817,058,108,607,421,684,181,843,
882,700,514,395,609,579,283,200,692,661,437,511,065,893,502,961,781,343,212,
882,269,792,274,977,299,307,110,558,700,569,940,076,207,851,944,273,843,527,
528,510,577,707,616,159,014,377,596,271,577,579,606,137,828,981,933,368,679,
730,096,471,957,583,178,930,245,730,041,253,483,925,040,571,657,642,034,326,
887,214,097,895,033,797,569,145,109,026,475,022,924,843,737,784,460,792,858,
268,188,845,355,109,400,268,348,946,007,762,394,374,651,197,912,292,139,553,
227,317,023,542,227,040,736,387,929,187,613,567,429,970,028,334,912,132,829,
897,391,248,135,592,803,750,928,220,555,152,558,965,627,212,085,578,861,211,
075,291,781,546,559,174,164,109,812,661,677,122,861,802,686,541,577,670,820,
299,356,569,651,002,245,261,425,669,616,062,927,830,574,829,108,869,469,443,
987,012,435,775,517,873,268,997,229,961,626,317,588,765,355,615,489,463,658,
767,193,454,639,346,521,844,226,859,808,231,581,928,947,471,917,454,305,546,
121,202,856,818,343,061,842,436,696,310,388,798,154,383,687,130,415,169,794,
521,263,507,732,871,272,684,624,299,752,340,414,604,031,571,760,821,646,014,
748,578,558,784,100,180,742,275,343,046,621,154,329,895,413,889,882,102,844,
343,877,006,222,900,806,650,692,801,970,469,978,363,521,772,250,355,983,331,
574,514,509,424,471,175,205,549,031,312,566,895,621,066,717,438,395,499,059,
890,290,410,081,163,755,929,732,590,873,492,093,811,862,849,461,435,789,661,
002,796,822,111,047,765,175,583,742,200,499,297,576,645,813,363,066,628,088,
306,180,261,755,086,920,810,357,107,657,241,983,184,071,423,331,253,676,421,
190,328,004,855,589,991,314,507,036,299,670,912,941,802,097,588,632,296,557,
121,589,339,680,198,324,738,887,516,225,123,513,007,381,350,650,126,735,457,
983,909,216,105,167,880,214,999,258,158,977,007,558,843,766,805,920,760,292,
623,108,978,110,165,821,636,376,472,254,895,016,324,639,079,672,971,152,143,
164,954,008,041,460,009,385,059,634,811,616,332,845,585,018,236,110,249,071,
655,654,768,732,567,562,704,753,713,586,101,318,486,140,058,837,735,953,761,
069,368,002,157,365,171,199,505,239,779,536,342,259,171,743,924,231,048,328,
509,820,752,492,909,335,756,605,550,647,597,010,096,712,503,458,507,305,729,
017,282,075,371,514,850,309,297,049,113,783,148,797,181,947,233,221,792,864,
005,717,468,462,396,041,690,023,847,041,947,051,989,096,710,698,205,279,550,
363,647,616,835,246,324,997,958,367,245,989,641,577,939,337,957,225,562,668,
714,991,954,743,748,507,302,465,418,771,981,986,801,688,844,001,555,862,606,
600,166,071,659,267,681,810,619,921,573,374,293,232,120,871,527,992,206,735,
098,113,967,414,848,354,060,215,986,047,403,214,200,170,996,898,324,029,062,
296,681,330,148,941,528,384,707,237,025,886,439,779,958,720,344,823,661,824,
909,110,805,548,575,740,180,298,169,665,286,127,859,642,656,488,774,509,673,
302,011,965,320,906,636,674,458,685,969,710,402,667,270,846,964,135,653,510,
622,800,971,761,911,598,537,411,682,823,600,418,762,588,164,867,993,132,109,
734,878,037,917,151,772,980,604,869,203,434,056,518,306,657,720,069,235,510,
084,704,288,327,125,110,497,640,151,983,329,938,224,757,644,816,078,185,486,
575,566,419,767,206,157,381,577,395,017,038,448,661,162,581,882,696,451,876,
721,390,983,339,539,612,117,942,436,055,900,177,803,620,106,053,525,293,795,
786,497,035,205,757,207,212,153,609,466,573,925,762,125,711,790,378,106,846,
607,608,216,203,467,700,186,597,884,113,628,137,385,402,156,582,394,453,241,
407,493,143,361,191,068,413,175,670,405,357,339,465,251,394,207,901,392,272,
993,761,175,890,187,165,819,697,575,111,527,102,433,190,906,696,609,026,421,
889,888,540,911,221,055,147,227,519,788,800,828,068,438,613,111,884,602,886,
904,512,134,967,546,189,700,551,857,999,766,370,980,672,589,635,804,169,216,
670,801,177,433,736,722,338,520,264,392,074,952,576,039,899,992,484,605,195,
241,474,376,136,769,545,463,441,748,479,848,809,801,170,631,015,724,409,553,
974,984,057,331,823,718,946,215,818,713,693,737,581,101,911,968,282,300,643,
604,789,027,604,642,350,176,573,758,302,489,031,477,530,330,525,199,871,833,
677,201,480,348,572,720,684,297,942,021,511,089,511,351,394,375,884,928,560,
843,320,066,277,380,967,209,756,494,455,312,218,774,972,386,842,884,179,231,
372,155,516,630,932,483,594,659,622,050,318,304,418,682,437,923,331,409,473,
599,821,128,827,775,956,276,651,791,239,385,134,696,680,889,750,077,725,456,
984,519,240,337,420,821,917,682,838,780,664,042,126,429,275,127,993,165,361,
460,783,825,561,034,263,678,347,613,660,175,937,281,105,678,914,458,689,220,
878,808,927,785,366,762,320,264,094,860,624,421,956,564,819,402,182,307,342,
404,434,478,747,781,302,931,773,519,026,321,212,193,554,210,167,831,637,760,
875,077,210,250,220,443,969,458,782,439,482,474,687,477,286,763,032,971,242,
026,212,961,541,210,071,145,035,091,303,858,868,994,342,421,542,649,730,230,
329,931,523,505,399,897,926,416,419,456,646,388,362,956,103,705,988,966,939,
419,041,180,418,748,192,506,867,454,551,386,651,738,109,808,326,389,801,665,
891,388,788,668,040,409,288,462,984,057,935,920,233,822,709,824,825,722,401,
745,420,211,278,852,138,675,049,939,488,379,415,084,509,216,078,786,277,948,
485,685,632,403,679,806,581,706,854,417,650,634,069,641,709,769,473,722,147,
299,487,548,890,559,675,102,712,790,874,186,763,832,546,788,725,378,770,141,
461,587,236,222,724,117,761,588,011,100,544,039,376,403,416,049,527,705,119,
193,059,508,980,903,931,498,201,812,385,042,437,462,639,800,778,749,301,903,
516,183,118,620,580,495,683,274,000,150,398,031,191,991,301,089,423,292,388,
484,676,789,646,895,785,548,191,164,977,910,818,645,586,482,650,673,145,324,
759,789,978,417,584,378,814,126,803,462,845,734,126,149,554,927,864,536,083,
372,361,223,505,248,717,716,997,638,872,113,214,100,534,840,276,910,984,618,
184,591,812,733,826,544,523,831,229,893,800,642,849,655,022,774,459,170,529,
652,231,996,832,988,169,481,207,010,009,449,415,278,734,941,076,974,472,701,
518,950,208,173,053,979,038,435,517,354,516,127,380,351,202,883,696,040,039,
239,176,632,908,849,679,270,955,443,984,233,109,856,395,594,834,009,928,647,
568,169,072,383,037,464,586,454,165,908,942,108,663,246,571,525,395,322,844,
426,005,501,397,756,428,926,444,087,798,876,386,502,501,386,891,701,238,295,
267,603,927,889,918,576,305,938,016,834,113,838,372,310,229,522,757,855,661,
984,910,764,163,078,360,342,240,057,564,887,290,772,210,910,465,626,544,720,
156,941,948,885,966,192,785,345,783,563,922,774,205,498,782,391,309,116,483,
325,803,096,249,417,182,523,663,933,824,255,252,487,187,983,940,305,401,749,
939,478,501,059,654,518,965,499,705,729,160,288,232,760,360,757,227,628,812,
630,340,737,212,689,387,355,753,916,281,629,032,181,204,816,156,915,727,193,
805,181,115,425,989,566,586,848,659,016,092,508,486,155,395,194,225,497,673,
451,799,029,828,243,633,506,610,600,697,370,854,857,417,392,533,596,856,515,
122,400,351,001,576,513,084,122,360,136,385,274,302,071,101,896,715,196,384,
976,298,853,813,327,674,616,791,326,526,530,976,561,691,074,911,779,555,086,
817,530,310,796,590,963,104,268,507,636,355,600,883,246,775,353,804,165,799,
839,308,326,362,995,448,233,400,370,639,949,776,916,131,470,526,918,780,926,
481,268,995,445,858,304,113,466,074,209,323,433,482,849,887,593,932,488,504,
981,100,015,038,280,172,065,049,141,750,023,212,378,632,811,167,068,984,365,
098,048,327,499,512,811,993,593,579,183,441,018,619,469,786,258,561,544,260,
960,139,430,458,944,307,652,980,816,308,043,113,398,537,030,558,611,866,617,
165,226,195,503,518,051,050,105,134,217,698,933,680,621,786,155,558,407,276,
568,160,332,136,918,443,653,379,717,858,027,120,191,739,111,252,239,038,402,
413,042,826,568,854,879,583,690,554,716,270,975,910,106,622,865,373,402,401,
551,529,746,104,559,947,953,314,029,258,760,458,217,488,781,148,873,400,438,
409,021,382,605,204,019,530,648,672,914,806,592,995,796,556,298,039,723,947,
645,087,730,582,111,044,009,930,112,514,391,092,823,437,582,529,330,755,757,
661,397,480,049,905,616,878,518,293,446,775,343,481,739,165,482,773,637,451,
994,822,044,416,002,988,531,516,987,805,476,616,370,833,033,226,939,902,966,
146,640,948,112,891,926,362,792,882,361,381,040,566,375,276,256,284,592,392,
221,146,311,172,610,274,721,617,871,084,637,437,282,508,751,839,767,933,423,
613,752,133,480,720,631,239,121,546,159,050,928,149,042,784,043,058,901,538,
714,781,516,054,000,153,964,645,889,397,080,285,451,686,671,326,103,298,930,
770,448,869,910,300,913,199,371,218,392,238,101,785,671,586,685,944,241,994,
632,834,141,479,536,037,628,242,868,730,983,513,414,551,846,310,202,916,194,
697,123,017,129,061,163,296,354,858,674,919,929,908,490,730,927,140,611,188,
594,336,293,124,774,374,135,121,426,131,762,168,687,858,167,948,604,259,377,
787,262,878,968,120,449,676,202,541,294,778,025,803,269,811,377,928,241,656,
848,835,990,673,924,421,326,910,862,788,379,405,417,936,135,644,433,984,881,
522,269,018,009,513,201,554,040,075,104,277,195,050,186,141,678,575,526,874,
151,671,947,955,029,961,155,435,242,025,539,674,864,545,129,630,772,431,217,
966,453,529,894,546,331,620,544,179,770,810,427,670,835,828,252,359,295,974,
390,533,095,782,395,587,522,388,615,227,986,677,669,437,571,139,357,712,657,
701,227,023,441,764,206,124,958,153,661,434,319,181,336,720,779,849,711,150,
398,051,105,472,978,900,063,196,949,177,317,025,753,018,508,210,927,728,985,
255,950,123,409,105,609,642,358,398,300,134,047,442,443,620,993,771,974,023,
485,729,586,223,032,406,783,031,198,239,200,915,819,559,943,886,012,347,338,
644,705,096,708,613,059,491,612,227,999,731,562,597,846,290,382,586,408,119,
773,327,836,486,985,715,765,833,238,791,375,791,826,172,096,024,540,339,300,
272,464,122,067,219,176,443,680,499,652,415,472,795,638,416,480,246,920,748,
656,321,113,891,426,743,691,335,061,197,408,524,104,902,798,577,647,727,455,
435,784,080,511,669,222,139,400,043,058,905,089,888,803,676,413,724,745,214,
678,393,236,578,440,444,046,885,237,763,001,719,640,505,634,720,592,517,062,
719,969,268,831,591,505,002,767,572,447,299,803,797,736,732,556,691,934,441,
193,899,016,477,185,335,595,153,055,010,132,684,877,196,168,619,564,771,693,
506,845,338,469,972,427,654,926,854,955,701,234,792,674,811,687,090,931,352,
523,313,204,300,318,275,675,654,109,754,241,939,833,302,001,870,514,648,050,
616,654,299,489,310,473,387,779,168,366,268,064,602,875,712,525,284,929,810,
993,682,725,887,101,699,025,243,777,313,457,000,745,887,190,252,326,799,763,
679,556,715,561,525,789,347,042,610,697,609,652,549,505,417,696,145,252,030,
050,245,767,214,127,380,746,809,430,916,364,687,269,099,249,417,113,200,218,
732,461,712,861,119,399,833,189,935,125,409,194,117,386,745,978,780,258,771,
527,194,004,093,842,269,613,934,375,341,749,412,933,423,501,845,014,198,151,
600,866,861,483,011,906,393,904,479,798,169,882,993,790,917,223,118,862,571,
813,854,782,635,157,688,528,759,467,082,828,180,777,252,728,464,491,170,175,
481,035,654,473,916,679,420,405,505,519,582,655,653,582,291,443,093,336,762,
114,080,721,205,347,158,506,537,073,598,421,808,269,771,515,549,375,849,582,
307,336,345,365,734,774,636,670,008,659,794,050,501,703,518,258,555,579,951,
466,683,883,357,685,719,796,880,011,552,637,424,540,989,390,132,303,306,352,
823,493,551,769,735,319,108,919,925,387,074,505,182,955,011,079,028,448,170,
007,346,741,777,471,905,268,927,585,297,544,881,805,346,867,869,989,214,848,
162,790,717,062,509,612,916,038,111,185,563,360,569,543,313,266,784,329,257,
692,029,382,358,504,239,978,145,980,310,340,856,747,747,979,212,583,073,249,
396,459,036,335,299,377,350,454,397,105,024,916,593,948,464,006,992,124,093,
878,877,164,751,330,429,832,983,559,496,368,180,629,701,575,302,812,127,767,
754,126,192,837,898,243,436,566,162,219,849,811,640,721,896,048,558,181,182,
122,153,206,715,198,484,315,991,235,381,298,597,395,121,126,647,524,004,192,
620,951,708,885,292,411,286,660,184,233,663,764,687,324,718,333,491,911,380,
055,702,770,694,825,239,127,924,318,494,349,663,802,010,273,288,857,498,394,
673,542,893,119,462,271,368,928,311,683,634,896,203,266,409,612,255,288,797,
340,687,585,293,106,398,507,415,507,871,659,290,716,549,976,501,737,053,681,
323,160,205,426,510,027,028,398,359,868,392,203,690,664,200,486,769,674,586,
854,978,513,953,935,374,141,943,715,067,935,864,596,840,702,862,570,167,439,
048,140,371,038,876,590,428,516,735,921,808,665,499,363,593,116,933,171,967,
358,904,008,597,160,064,392,759,460,015,513,380,464,434,162,246,913,619,232,
669,501,482,526,138,755,230,281,413,889,346,472,656,121,506,007,014,714,977,
746,081,149,606,128,083,736,125,760,628,671,593,237,739,389,551,209,414,284,
617,938,385,453,565,629,957,698,409,451,641,050,395,081,737,736,512,187,900,
425,830,491,846,095,769,460,676,830,689,040,070,149,508,390,720,621,192,169,
736,146,541,449,808,672,997,691,256,747,190,073,035,181,155,591,278,957,814,
855,509,961,359,870,711,948,134,887,563,629,005,303,799,248,282,469,507,490,
092,951,742,832,790,323,722,998,822,508,681,017,142,538,428,806,006,026,358,
932,972,762,552,405,665,624,452,774,308,878,055,746,111,760,947,692,895,888,
838,222,395,230,457,924,308,822,395,463,386,824,933,581,955,693,744,412,000,
553,143,131,098,791,160,662,617,907,275,056,490,582,073,869,742,953,230,551,
202,763,119,797,290,483,727,913,639,338,463,193,129,091,881,142,435,929,876,
347,992,834,483,374,731,325,329,008,192,332,029,003,681,603,813,766,770,960,
571,237,173,843,825,906,519,588,076,586,474,249,291,983,899,636,236,409,022,
038,666,827,310,355,701,347,738,308,132,806,921,157,233,258,165,020,090,011,
493,403,577,739,311,620,062,739,984,359,982,961,885,968,505,775,047,858,011,
268,513,128,897,988,839,381,889,802,919,597,838,666,108,213,816,551,307,378,
366,968,828,229,212,585,165,307,401,909,098,795,192,771,499,055,039,711,315,
845,059,791,983,863,435,876,354,749,491,492,300,069,211,135,378,585,980,377,
763,351,921,971,861,621,708,601,610,674,283,229,989,155,355,556,386,494,289,
598,953,382,554,187,815,652,429,466,578,554,266,112,627,360,590,199,044,313,
708,020,921,690,175,484,444,278,825,185,887,247,609,367,153,441,545,810,178,
385,961,104,953,415,768,498,163,786,761,268,264,283,275,030,708,455,559,642,
207,101,980,593,757,429,410,807,122,788,554,793,818,707,776,976,748,763,227,
121,499,876,455,324,615,396,970,400,095,355,762,505,511,397,027,907,202,172,
052,877,105,109,646,679,139,400,055,768,197,953,330,724,452,511,458,577,437,
004,587,773,094,499,115,605,800,153,346,571,379,016,086,702,427,061,062,920,
752,448,405,227,272,870,691,397,053,458,014,320,499,711,617,287,964,249,728,
786,877,218,481,991,367,580,727,859,223,451,202,504,514,877,038,911,876,296,
447,176,323,397,419,578,242,120,370,868,586,220,637,920,989,551,868,651,523,
508,099,593,257,071,088,251,720,854,914,380,616,766,528,542,500,933,296,118,
302,540,421,522,259,271,663,637,001,269,814,144,333,420,176,437,964,588,010,
127,920,151,108,720,037,885,084,767,924,482,818,433,681,348,746,650,353,672,
597,062,843,576,968,112,849,394,368,895,131,789,604,611,554,548,569,323,406,
601,840,453,969,848,091,250,151,940,846,891,899,663,599,088,562,568,611,950,
630,866,062,247,082,493,210,669,592,859,410,665,514,960,355,603,801,800,642,
585,161,443,088,740,367,499,377,549,785,610,682,397,081,860,777,091,083,584,
617,366,005,178,850,621,130,909,651,298,454,892,403,951,281,827,247,874,219,
834,303,599,920,014,338,590,339,476,858,099,308,283,503,635,685,114,977,278,
366,990,638,995,383,139,068,426,210,926,790,851,019,391,718,859,453,458,438,
726,839,309,505,654,393,657,881,641,332,521,381,820,508,950,656,561,659,114,
212,770,934,399,504,956,593,735,508,373,028,268,884,963,832,169,869,634,700,
955,726,240,649,717,015,871,872,243,756,969,163,575,154,195,205,283,710,787,
128,770,154,667,863,331,199,123,656,578,115,064,571,681,749,019,477,841,992,
022,944,899,392,156,993,213,264,820,784,362,540,226,970,008,242,702,311,571,
041,337,012,009,356,687,953,057,586,879,969,421,866,119,348,113,774,454,231,
952,865,915,765,548,642,021,485,367,301,270,869,074,844,841,455,640,298,134,
366,215,478,558,963,663,007,367,922,154,721,768,819,993,511,419,118,018,589,
062,956,002,291,210,392,642,080,887,210,249,286,988,286,674,418,051,777,971,
194,049,596,992,771,672,741,108,544,860,070,175,045,476,982,045,266,975,047,
479,345,503,596,638,350,974,926,684,143,526,456,543,230,249,288,003,648,510,
658,502,262,797,801,935,023,017,436,426,762,366,383,217,848,118,576,834,502,
706,254,431,110,680,937,635,927,120,037,864,803,022,249,999,335,245,982,869,
170,197,362,144,103,529,018,536,766,845,630,956,067,543,601,669,130,305,860,
736,159,394,447,591,280,646,533,111,333,401,922,427,847,886,504,161,805,171,
901,074,231,402,730,053,799,591,808,127,596,897,525,426,464,331,598,999,239,
664,336,037,636,348,101,579,446,918,199,214,928,583,792,987,556,677,490,098,
958,032,912,834,360,814,780,851,365,268,341,778,465,314,432,038,023,716,024,
414,377,417,704,318,360,942,320,971,308,317,340,847,852,274,698,020,829,868,
164,916,331,986,433,927,010,859,619,220,087,663,354,806,307,280,349,973,679,
894,619,579,888,418,522,148,688,824,226,934,143,608,448,768,581,717,536,604,
443,901,067,136,680,004,553,316,321,306,856,161,896,523,867,515,315,978,199,
023,026,387,789,552,736,331,175,444,442,050,751,040,702,795,964,905,388,581,
525,053,391,980,589,862,958,458,448,141,106,149,362,131,885,163,431,019,959,
052,869,316,089,539,589,634,606,044,114,178,114,067,970,612,829,196,787,358,
791,053,865,251,323,289,560,783,699,635,357,149,859,175,492,716,707,183,650,
639,227,356,593,523,414,759,204,488,028,562,018,628,268,697,009,761,786,318,
329,983,004,880,743,440,580,677,370,031,319,823,834,438,959,121,022,575,777,
333,244,771,623,936,102,572,189,466,417,388,242,869,365,765,452,341,101,321,
998,935,087,385,722,675,565,123,668,442,288,401,124,167,276,726,165,492,706,
106,654,540,316,162,799,350,028,975,495,680,281,156,152,849,607,783,941,746,
923,036,576,307,446,264,170,809,092,584,518,563,971,090,002,169,859,655,322,
115,973,548,850,492,409,960,385,429,414,444,099,240,780,317,993,382,962,373,
361,938,957,997,265,325,445,945,080,572,135,692,161,029,491,575,800,711,608,
659,379,317,918,546,114,650,939,487,996,482,450,908,632,019,908,418,408,721,
715,191,882,851,661,774,530,224,095,503,247,896,435,675,086,001,300,125,872,
207,568,666,981,596,948,555,300,650,059,724,732,472,872,031,369,247,768,716,
219,272,717,781,044,924,093,069,965,778,554,195,048,536,818,807,579,801,862,
977,946,735,450,351,435,712,517,723,210,164,727,070,671,058,626,401,928,144,
380,778,386,842,728,927,954,624,759,238,576,337,305,750,522,080,606,488,535,
914,706,772,708,918,861,316,190,949,033,240,933,819,513,142,356,605,219,839,
209,286,141,188,959,936,692,970,551,380,097,958,685,480,860,994,263,197,595,
973,223,419,087,082,167,903,941,688,538,473,797,875,875,990,774,082,546,632,
814,408,891,686,240,644,044,053,608,357,523,823,829,490,634,418,765,939,380,
417,884,550,821,407,003,253,486,322,856,353,816,126,696,193,260,374,998,167,
436,179,946,764,464,664,410,545,615,617,982,743,255,401,419,879,538,753,325,
333,383,244,543,547,990,364,958,864,623,720,156,011,450,607,480,277,580,534,
923,683,301,158,574,647,655,721,291,303,595,636,432,553,498,452,871,024,108,
198,911,749,861,611,879,740,076,634,080,813,551,811,147,075,364,815,617,306,
013,439,582,375,641,422,298,083,994,101,653,457,634,163,937,530,811,182,024,
019,694,349,762,495,232,458,065,143,757,252,641,824,256,426,352,838,016,563,
446,592,435,743,508,226,172,195,689,544,312,125,166,499,588,281,132,742,649,
202,828,745,707,972,945,558,230,561,623,770,204,959,137,784,284,133,735,182,
752,056,238,474,323,765,745,221,018,252,030,408,306,883,549,027,341,860,972,
147,601,426,920,747,377,182,677,355,424,260,537,254,908,011,314,211,512,969,
384,341,453,595,820,395,682,539,968,276,691,740,727,512,977,125,953,042,881,
083,113,976,808,164,130,000,699,174,674,748,046,419,791,498,678,099,895,170,
714,878,914,494,118,570,564,896,744,807,019,604,755,964,733,054,788,055,427,
301,076,650,613,140,437,764,403,963,709,940,387,638,993,653,630,435,045,913,
493,763,336,828,788,024,016,409,468,743,772,564,216,896,757,979,554,712,560,
367,408,051,946,255,455,790,271,826,417,361,954,941,758,424,859,705,229,133,
795,756,722,277,097,859,372,464,734,766,670,586,096,814,059,019,008,213,150,
974,309,805,187,680,190,514,292,638,510,288,354,597,087,927,449,675,318,373,
347,990,023,003,346,891,881,667,664,317,529,972,038,323,655,230,858,208,807,
027,728,024,914,586,535,298,901,842,288,910,390,527,480,414,706,309,001,928,
631,123,773,807,575,284,294,424,351,937,794,701,567,557,384,600,630,510,721,
297,595,475,344,990,105,157,408,311,034,047,837,300,037,696,199,509,649,967,
425,366,165,387,448,322,199,372,582,543,015,858,710,959,035,312,091,383,831,
730,506,141,505,490,916,096,810,158,229,742,388,531,456,700,829,676,772,076,
819,720,330,426,281,431,397,985,921,314,013,865,864,797,095,534,351,403,153,
566,154,658,809,852,689,464,400,541,153,704,838,114,168,450,580,374,712,851,
314,163,309,727,725,019,773,771,030,132,797,658,125,571,990,536,371,926,943,
695,809,990,946,535,266,276,629,233,831,172,964,201,822,501,051,038,819,050,
086,667,090,511,339,030,017,677,247,461,942,180,737,572,922,685,471,970,797,
302,460,309,698,748,681,888,015,069,607,188,159,574,154,426,852,751,587,928,
446,030,540,297,140,520,017,485,639,179,526,691,932,411,928,891,234,557,895,
265,748,983,170,120,716,706,920,034,989,829,584,027,653,459,169,377,190,879,
925,003,710,993,659,200,721,634,767,482,071,188,770,462,378,729,077,523,371,
267,219,677,197,205,343,169,007,218,676,186,177,308,290,800,369,471,283,674,
013,012,858,434,782,145,328,245,749,154,280,911,753,919,574,407,214,201,425,
419,047,030,733,926,756,854,449,054,321,230,646,558,256,375,419,584,193,881,
157,279,206,544,501,882,299,281,717,902,796,739,500,600,266,946,910,429,148,
264,945,323,232,119,114,226,118,442,591,546,215,953,669,518,941,127,121,204,
388,483,936,086,263,869,525,640,167,504,216,306,652,747,480,741,020,613,005,
623,974,741,423,685,284,892,227,652,420,962,190,285,630,777,259,883,058,068,
705,533,566,810,146,852,527,335,105,337,534,491,930,867,149,647,051,307,262,
590,544,470,369,166,023,827,561,200,722,625,161,917,797,049,878,834,904,020,
073,272,614,938,897,294,482,951,880,095,833,715,780,470,673,851,314,016,370,
296,967,937,358,661,993,845,797,419,992,080,039,196,901,190,333,639,260,958,
627,487,788,149,838,774,078,157,583,279,133,010,185,353,772,094,645,599,256,
677,676,887,799,298,437,261,116,220,893,736,300,978,549,898,987,043,033,004,
505,416,356,837,476,730,716,743,216,602,520,503,598,174,057,391,307,069,249,
707,203,326,699,104,970,488,018,252,942,560,027,912,333,355,595,997,958,624,
600,687,070,532,542,178,758,345,994,825,185,158,245,344,745,939,267,074,775,
172,983,921,898,286,709,964,201,278,405,626,969,955,373,841,809,306,388,066,
899,780,521,687,241,434,170,317,556,696,975,080,233,044,306,627,726,927,251,
188,644,500,524,203,295,042,702,113,869,101,818,597,144,405,892,119,797,908,
804,728,134,192,532,333,650,848,109,982,074,522,725,083,456,067,082,795,933,
288,260,995,270,165,201,968,900,598,484,558,404,750,828,645,788,149,993,433,
499,734,940,547,252,391,133,920,357,722,155,780,513,292,864,093,651,069,076,
587,198,409,883,519,480,368,015,652,966,853,075,772,571,094,254,900,803,422,
382,764,488,199,993,198,469,422,113,674,263,918,877,326,564,263,313,932,278,
591,914,465,301,755,346,025,321,786,348,075,184,347,358,878,661,977,412,120,
396,829,051,497,191,129,626,583,991,374,178,038,798,966,636,692,909,777,373,
528,709,341,139,832,224,863,341,669,086,497,641,558,260,462,383,394,080,031,
282,180,891,282,174,719,182,923,850,282,254,635,615,139,446,430,559,779,950,
983,411,601,414,257,669,617,265,129,056,330,064,799,899,859,040,575,757,862,
846,833,362,056,132,439,843,495,674,614,439,304,685,338,919,586,519,148,152,
699,577,794,980,533,746,010,835,715,632,300,220,037,153,495,903,719,244,017,
065,877,958,576,289,962,854,550,149,441,711,006,977,972,314,179,983,851,970,
270,806,850,052,872,691,647,350,467,732,423,759,643,942,507,882,857,590,094,
114,484,338,189,846,247,642,935,940,056,407,603,161,632,830,925,841,605,068,
370,632,669,967,177,533,942,836,657,385,783,584,371,178,413,346,278,371,369,
484,730,236,880,277,611,527,898,589,188,655,358,998,557,292,748,793,339,532,
460,294,922,612,616,740,056,019,043,454,344,300,503,774,981,534,152,438,546,
269,083,634,618,989,262,298,240,986,363,431,330,000,695,851,443,721,810,766,
953,511,610,105,756,681,014,070,761,808,949,894,956,589,937,565,887,198,520,
083,690,155,225,027,877,648,591,170,964,408,185,141,669,230,690,674,404,899,
339,925,722,252,183,309,793,446,782,788,078,500,078,844,218,262,713,882,372,
084,017,033,560,867,614,755,899,450,674,631,193,333,484,256,117,971,916,368,
958,282,842,722,816,037,727,037,394,296,507,206,007,888,551,544,241,265,287,
654,494,411,655,648,684,567,914,908,825,756,759,717,577,252,414,792,039,479,
325,002,093,802,376,880,221,844,233,078,467,303,133,245,263,775,181,410,015,
069,189,802,283,925,828,874,609,794,822,621,680,469,254,136,657,218,465,689,
752,649,424,402,669,288,106,052,096,897,926,205,105,555,824,390,567,047,912,
944,922,384,048,036,449,633,625,426,191,107,258,998,341,742,494,061,052,108,
672,654,336,779,347,686,093,464,090,914,942,602,594,649,521,662,634,118,184,
351,738,292,821,009,682,948,281,955,146,365,821,399,291,597,229,196,613,804,
895,172,166,928,752,015,722,174,558,119,072,726,626,559,316,506,512,044,041,
782,309,401,607,983,334,563,855,672,232,967,473,467,947,279,166,790,450,428,
382,905,498,428,332,530,395,135,100,424,317,408,615,404,055,767,109,818,496,
406,183,646,426,936,375,347,878,127,049,800,424,808,279,244,481,278,680,958,
004,397,415,048,620,509,855,236,479,995,921,799,152,925,882,738,628,331,998,
937,577,177,682,708,794,558,634,959,540,257,743,492,889,003,253,495,601,737,
551,318,172,740,974,056,391,234,833,134,215,448,874,363,682,803,852,488,366,
237,777,848,107,697,564,880,408,968,050,682,982,957,632,344,877,784,972,500,
404,831,655,402,647,308,961,235,664,118,676,961,148,045,256,233,608,883,823,
835,005,004,716,666,206,370,060,113,850,985,080,120,970,090,773,258,813,747,
604,491,377,354,115,951,470,465,644,776,583,070,410,920,680,927,363,601,544,
745,915,336,933,186,236,766,666,043,091,284,018,134,397,840,142,096,440,238,
276,395,168,709,157,381,930,896,693,439,780,855,900,458,724,361,938,879,486,
304,351,169,739,200,548,016,280,637,126,066,076,869,218,761,732,424,332,120,
071,136,306,209,050,160,199,892,214,028,171,777,927,068,521,408,357,208,432,
184,421,016,558,671,476,914,199,311,867,679,065,383,518,906,334,635,437,883,
675,825,958,245,135,041,671,660,379,487,557,621,196,784,914,027,781,712,160,
152,106,984,517,381,308,389,282,290,781,986,862,684,071,743,211,569,672,402,
007,907,313,693,611,476,676,935,900,584,184,482,900,786,916,001,258,826,480,
558,039,247,982,467,475,721,573,943,488,738,018,746,521,212,053,608,683,383,
323,752,713,045,114,013,274,541,055,685,211,296,311,006,224,303,471,499,729,
594,099,319,785,517,482,094,513,611,260,129,349,664,612,996,222,272,089,752,
233,525,507,387,114,018,366,811,399,341,654,580,352,236,521,867,155,982,339,
325,953,727,055,503,772,259,547,885,250,343,794,294,614,619,748,568,033,325,
767,684,803,892,705,955,253,207,360,265,781,950,080,006,825,510,487,541,950,
624,182,397,766,376,685,524,509,716,494,861,985,326,944,561,549,061,163,872,
853,211,289,786,776,736,268,149,093,270,422,370,439,738,823,198,041,237,298,
646,907,590,824,155,803,520,938,989,100,255,075,596,399,595,683,193,126,364,
652,318,985,481,897,200,919,470,781,608,906,292,974,409,576,522,076,536,714,
661,815,175,725,302,872,265,986,505,804,071,974,225,824,386,304,653,736,517,
774,685,995,929,954,963,318,883,777,199,631,262,371,960,809,949,887,421,170,
848,897,899,195,196,007,366,933,080,781,963,866,260,881,962,765,267,875,748,
864,379,815,516,366,366,876,814,049,346,466,138,468,711,022,232,946,483,690,
530,087,325,097,310,607,428,349,183,481,468,222,250,781,694,439,170,928,495,
730,136,565,853,668,414,137,655,376,327,565,286,944,725,771,785,979,658,517,
358,981,698,663,988,035,939,611,995,077,522,853,615,322,166,293,570,608,170,
606,299,976,711,892,167,245,316,399,873,748,745,596,288,605,457,530,603,956,
985,091,964,279,348,370,835,395,173,071,873,096,928,968,991,313,136,050,437,
883,072,518,800,053,750,220,073,737,453,339,664,095,946,772,496,654,596,413,
245,212,304,366,938,142,831,655,161,893,087,333,949,965,880,261,931,227,288,
926,945,652,546,617,921,015,767,475,507,840,170,401,850,533,667,044,835,260,
873,795,460,526,194,261,125,823,951,804,469,214,443,104,093,847,340,288,057,
934,460,646,748,559,122,142,539,237,767,449,317,344,785,624,164,953,417,563,
265,548,639,736,387,936,135,467,476,020,157,342,449,595,495,947,790,117,566,
554,158,767,129,923,833,619,734,190,157,833,090,614,653,516,151,403,301,758,
249,555,090,447,321,982,827,277,478,913,434,025,467,861,269,271,579,661,065,
231,260,574,929,207,162,960,630,451,446,732,999,374,086,424,132,194,598,112,
536,048,624,972,874,018,079,124,444,948,305,621,436,951,848,423,849,160,736,
650,640,616,402,356,076,015,057,103,203,035,664,761,922,985,816,507,639,833,
939,005,792,665,787,489,086,182,016,749,732,118,090,827,084,525,322,323,318,
191,094,693,130,087,430,257,849,335,829,881,597,208,953,445,592,829,368,203,
241,229,716,642,625,427,507,456,480,908,441,496,371,550,781,468,705,408,256,
642,912,185,618,955,863,671,788,541,888,318,000,669,841,892,968,702,352,274,
494,089,798,079,780,359,009,537,847,179,111,262,744,270,493,509,026,003,024,
959,678,804,242,440,581,517,044,216,884,614,791,393,850,967,388,584,998,237,
985,453,060,920,099,472,153,128,478,427,140,967,808,673,632,914,043,043,595,
664,084,401,985,817,024,304,478,089,879,447,709,237,507,331,423,744,978,897,
115,204,965,517,707,934,923,446,386,141,558,431,427,296,865,671,333,120,740,
909,827,694,797,074,196,458,438,161,551,601,397,889,610,895,135,125,014,478,
480,318,648,653,222,041,568,406,918,597,117,571,053,958,017,616,465,484,833,
038,468,475,145,413,845,985,387,914,164,346,374,288,324,041,067,941,364,715,
788,847,348,125,083,609,703,004,106,648,908,790,275,954,107,407,689,813,067,
392,311,043,120,341,932,105,628,312,683,507,765,152,654,044,288,347,365,151,
209,440,008,667,081,256,379,877,835,626,010,167,861,078,213,409,340,097,438,
046,064,506,044,289,239,272,676,032,366,286,042,598,683,960,738,520,192,008,
569,386,650,767,071,171,091,717,695,579,065,383,994,737,751,876,720,644,808,
865,519,143,934,958,555,768,273,203,443,624,993,096,943,699,040,669,036,744,
751,089,990,787,734,564,458,253,707,188,540,508,801,483,286,313,444,085,930,
959,201,781,617,558,771,488,639,228,712,233,162,495,138,856,130,883,177,087,
374,635,401,198,623,713,876,651,390,778,119,057,369,940,047,126,100,029,459,
479,818,818,120,406,512,135,314,533,247,712,712,117,938,484,561,525,916,234,
713,254,826,810,286,738,044,775,342,447,471,654,321,469,158,266,219,633,032,
683,964,642,621,392,877,160,015,408,777,244,294,509,573,268,892,084,856,392,
320,647,099,119,128,407,458,785,461,125,801,738,829,492,433,570,119,259,883,
256,533,715,392,660,402,774,059,160,809,842,554,343,566,026,723,432,575,686,
060,620,384,466,229,614,122,161,737,646,668,711,907,689,429,361,444,720,150,
254,075,912,777,990,666,665,193,626,773,624,389,024,245,689,052,641,119,831,
630,765,473,062,054,204,005,174,996,972,298,404,999,878,447,151,058,697,047,
836,830,954,988,640,512,509,370,327,430,443,468,901,668,649,024,882,628,978,
584,923,545,937,171,208,752,245,516,367,743,285,862,770,929,917,692,633,865,
336,447,887,550,349,667,176,952,870,077,499,699,621,939,536,294,664,358,760,
104,624,595,217,032,896,086,022,646,414,535,800,384,609,451,885,281,889,800,
679,755,927,793,591,926,814,967,651,400,667,881,217,875,989,791,758,546,411,
834,651,802,112,620,582,884,512,775,187,273,243,396,873,019,923,635,429,446,
922,871,346,403,343,223,327,963,366,467,533,426,300,226,494,587,753,429,073,
471,209,765,309,296,716,337,069,037,019,361,589,175,012,752,868,532,662,345,
633,824,108,831,034,195,277,059,389,986,312,779,310,258,897,934,219,092,325,
421,077,311,915,603,703,003,845,217,030,250,744,633,261,936,785,885,110,721,
668,177,947,249,132,644,872,984,752,964,245,737,300,049,144,246,815,196,585,
686,006,714,621,147,435,105,445,883,330,559,796,034,008,481,189,938,898,744,
757,801,541,492,387,658,525,374,762,989,952,417,412,796,128,484,629,044,337,
804,292,844,902,674,944,669,604,219,399,093,784,712,582,501,473,862,992,920,
042,882,787,073,774,171,313,757,765,384,121,635,127,404,959,161,757,426,572,
873,133,379,899,990,074,148,404,415,847,038,542,314,536,092,018,303,553,593,
961,380,661,859,604,096,125,564,220,541,435,762,572,480,687,166,272,328,335,
994,564,642,665,906,479,225,288,534,074,193,550,253,692,659,469,232,089,644,
122,443,165,801,313,793,332,987,706,177,057,626,331,948,367,697,293,115,977,
467,195,186,844,821,250,289,097,060,042,177,924,428,233,413,452,478,387,152,
672,571,631,582,145,764,631,483,023,925,422,306,774,722,792,094,830,065,938,
413,137,716,818,820,212,413,836,809,285,419,645,471,203,084,556,274,433,189,
231,555,254,012,864,038,009,555,069,331,996,560,390,563,520,706,002,924,061,
934,370,210,139,636,562,947,920,061,495,858,051,275,902,178,751,801,821,453,
011,870,888,773,266,210,191,500,828,330,375,530,034,994,860,836,390,900,732,
227,333,888,361,951,899,037,600,138,741,586,989,608,240,552,585,937,481,929,
096,706,993,043,388,916,402,728,803,535,624,434,278,195,327,885,220,942,858,
858,983,079,413,301,360,808,240,509,425,098,287,850,069,248,222,130,848,847,
843,376,154,275,873,774,990,548,505,429,610,964,190,515,060,211,444,030,994,
296,398,578,266,830,860,316,666,560,068,940,997,890,566,755,303,242,404,214,
328,640,036,904,694,424,769,505,857,430,668,308,756,814,708,391,940,065,583,
011,102,384,129,072,655,837,601,683,636,212,008,571,164,921,563,517,270,125,
211,288,863,783,595,475,378,705,913,707,744,155,589,261,075,199,203,472,447,
003,332,311,450,265,380,481,850,316,479,483,269,504,385,511,466,465,220,426,
801,849,908,946,647,102,470,385,968,856,153,326,996,088,515,810,946,936,793,
949,833,806,256,208,303,430,376,540,228,249,806,996,032,908,540,782,020,285,
688,417,296,558,732,071,617,836,085,751,600,265,768,838,003,020,545,110,446,
264,848,955,781,808,713,185,492,923,816,001,805,411,591,135,287,217,806,290,
979,983,790,262,479,626,848,216,129,479,307,394,505,451,021,675,080,482,728,
937,502,050,682,528,125,383,604,129,014,412,476,839,443,626,344,115,615,193,
497,825,410,835,665,758,766,616,049,080,784,712,389,411,948,367,252,669,094,
958,146,697,578,277,645,630,684,009,545,428,643,110,465,024,179,081,229,962,
786,848,117,874,132,588,115,933,649,656,065,558,047,500,847,620,355,337,005,
669,081,012,839,129,907,119,242,784,601,736,135,912,026,648,129,740,153,852,
599,777,463,874,185,024,390,583,301,992,924,569,217,102,828,939,754,798,994,
318,079,920,712,676,334,737,763,151,822,179,319,917,638,586,410,936,722,201,
854,131,213,068,032,605,049,064,805,989,044,630,269,912,350,489,803,758,171,
129,746,723,613,777,458,831,333,107,274,840,295,812,047,875,671,123,357,133,
892,546,988,022,611,003,395,648,606,448,498,560,927,363,011,664,702,660,827,
023,354,024,458,035,304,310,983,218,841,337,237,240,264,804,098,421,490,991,
476,350,093,850,616,461,172,498,992,585,749,226,286,731,296,084,027,947,383,
093,157,838,818,845,394,614,694,956,597,029,462,864,948,529,829,674,406,043,
160,153,043,234,118,720,901,713,266,235,768,776,931,233,734,315,804,289,943,
411,927,618,964,451,618,497,447,924,415,704,879,086,793,849,863,809,058,474,
647,093,277,959,239,241,319,799,946,768,473,202,257,085,979,498,126,760,976,
102,042,659,630,844,998,933,093,215,375,459,227,371,802,918,532,535,318,285,
121,131,147,837,408,882,162,524,972,850,179,607,321,963,522,545,952,142,926,
458,253,281,925,580,686,256,032,581,445,019,889,791,087,738,687,523,266,972,
167,969,074,820,330,682,509,657,550,912,582,901,988,132,849,671,415,914,733,
627,014,634,955,680,773,505,631,340,579,727,210,767,057,930,303,537,162,001,
442,100,092,840,447,187,390,366,890,020,889,212,083,550,774,569,541,973,053,
822,106,799,661,431,083,005,022,905,687,258,078,248,001,860,240,632,390,771,
641,337,963,034,537,688,869,355,065,290,276,211,420,455,055,331,202,167,679,
187,731,846,479,171,375,944,659,457,885,732,988,882,505,751,241,982,522,637,
534,745,431,714,934,300,629,127,858,585,406,758,752,745,780,482,712,886,912,
026,764,656,426,849,385,682,239,666,262,853,545,516,588,539,504,969,274,202,
537,718,269,295,551,821,482,867,627,412,463,633,853,251,241,777,404,502,254,
800,978,340,372,893,792,707,748,338,313,220,616,531,008,319,283,013,011,129,
841,249,187,368,691,913,274,716,845,698,347,969,951,434,577,767,222,805,807,
305,728,635,458,609,316,488,772,360,506,003,991,682,704,701,646,042,272,147,
561,785,967,705,083,338,039,549,111,308,428,981,569,500,481,042,390,317,327,
356,536,386,752,400,979,618,585,173,936,411,224,431,825,797,995,273,379,867,
164,539,736,613,797,592,220,675,527,355,933,548,849,421,945,562,831,050,195,
493,263,957,462,321,277,550,073,527,035,078,194,884,599,995,349,050,233,184,
189,150,534,918,064,514,127,586,182,887,882,839,630,129,296,642,221,540,500,
382,406,640,948,685,860,285,776,687,749,197,221,434,860,768,068,046,682,971,
108,391,158,272,946,762,449,791,506,135,436,094,578,233,405,726,013,528,338,
450,424,286,774,747,037,725,998,479,761,632,710,562,277,595,081,650,235,224,
329,540,699,885,830,025,085,838,586,268,971,174,483,761,414,665,878,518,328,
773,578,464,338,482,586,654,482,052,478,879,660,801,393,582,495,014,968,563,
372,324,077,868,470,428,918,014,735,277,559,228,330,714,648,483,305,091,877,
575,346,781,220,120,102,030,061,753,935,132,378,198,012,560,738,426,625,464,
248,115,623,153,887,925,758,703,630,146,612,922,423,734,467,094,505,039,168,
467,312,822,185,125,444,234,391,098,110,071,996,288,468,142,123,634,216,344,
480,311,904,760,409,549,737,945,226,485,490,543,819,657,663,951,439,938,704,
771,765,811,048,910,877,595,849,685,672,084,265,914,268,044,464,630,198,974,
034,521,753,330,846,771,648,792,105,677,161,928,506,344,269,599,120,162,027,
007,979,977,614,083,925,074,234,003,433,730,336,645,343,247,008,240,945,115,
220,101,082,751,293,786,744,542,818,385,381,654,062,663,439,334,923,244,621,
574,541,690,403,850,408,019,982,251,085,581,618,626,083,012,189,945,032,333,
727,462,410,622,505,880,676,275,673,886,863,351,256,143,145,312,274,949,328,
608,305,741,095,280,292,841,423,320,397,911,639,302,427,588,412,910,214,930,
014,118,555,043,746,805,103,900,083,270,771,676,641,469,452,047,090,456,275,
600,689,004,210,214,298,955,063,442,117,171,060,387,516,755,017,546,351,590,
925,182,110,580,620,574,447,360,545,847,546,062,887,408,895,416,512,002,962,
873,650,469,883,868,610,766,636,766,074,918,726,118,390,981,578,746,218,495,
770,796,205,941,479,143,010,827,322,513,832,372,912,143,553,122,846,411,738,
207,976,849,925,461,085,967,835,491,824,755,586,686,369,449,240,027,614,448,
026,963,160,411,806,985,025,544,068,783,102,606,604,093,680,001,174,270,339,
830,229,934,245,585,293,868,977,065,875,523,764,606,509,303,618,632,257,051,
925,600,605,569,711,109,437,930,715,980,162,534,829,315,383,311,789,100,910,
379,276,518,124,829,404,769,589,876,876,404,457,003,863,043,457,814,126,135,
762,515,361,262,083,508,511,360,714,043,006,835,127,662,722,925,602,281,217,
301,791,379,944,147,380,813,638,681,543,735,359,892,408,511,217,735,040,592,
314,093,925,998,543,628,703,334,159,956,596,895,589,832,138,515,334,569,237,
610,595,870,414,383,874,145,001,684,716,585,188,783,624,253,946,167,390,722,
569,917,836,006,033,864,268,462,330,107,454,651,144,764,005,844,934,313,733,
338,562,849,060,516,193,936,439,302,747,264,612,782,563,045,291,003,463,924,
285,424,477,663,879,238,338,813,091,563,853,668,759,477,355,771,453,680,926,
652,056,614,943,100,294,617,405,224,617,383,428,134,595,699,585,328,921,132,
617,517,883,198,924,657,755,272,016,319,379,961,062,185,620,104,407,961,102,
550,412,582,152,090,495,020,576,886,693,127,707,578,146,149,635,595,436,104,
299,995,106,724,017,260,638,135,406,128,217,206,115,752,122,167,517,277,940,
120,239,127,759,416,253,201,774,379,303,744,387,753,681,938,039,249,901,745,
442,153,243,507,209,740,908,542,803,297,427,110,063,815,501,499,106,669,046,
666,052,675,750,159,375,205,656,866,430,306,952,300,608,972,533,012,258,531,
443,653,898,102,793,733,416,805,826,044,473,539,987,263,791,696,917,401,161,
487,863,627,851,810,950,259,656,977,310,955,512,494,212,602,334,030,526,280,
059,236,131,177,110,106,588,940,693,264,841,890,885,020,534,720,497,289,833,
063,770,142,476,770,690,386,259,180,041,591,422,636,367,423,350,675,533,487,
299,568,203,770,142,500,403,140,592,545,201,085,662,550,197,939,557,837,389,
653,841,622,333,144,187,871,222,313,058,508,167,276,462,287,592,357,670,309,
781,247,922,839,090,636,090,629,544,511,487,528,323,689,426,758,164,777,135,
488,238,238,844,642,300,997,786,749,769,375,998,316,962,402,176,206,969,420,
616,171,429,071,902,040,058,025,737,901,708,304,890,951,076,937,305,162,939,
463,833,966,119,659,751,535,336,360,634,231,561,674,505,072,399,419,429,176,
074,283,567,949,152,979,019,857,903,141,048,256,026,244,209,539,002,843,889,
062,422,469,302,466,858,639,992,607,540,406,513,507,435,636,515,332,854,318,
525,733,522,616,032,028,888,714,922,455,053,747,043,087,990,328,210,442,719,
166,857,765,311,077,934,999,400,584,260,616,931,800,458,456,419,304,509,339,
918,941,140,521,675,419,358,060,917,838,478,135,569,510,150,397,687,442,601,
358,933,980,801,511,098,444,877,906,843,617,166,318,313,240,703,864,209,317,
186,547,883,782,640,237,647,885,356,196,568,637,014,145,614,967,048,433,904,
864,256,189,567,114,357,877,669,146,584,972,480,619,688,772,223,191,457,282,
621,946,092,563,975,539,935,788,027,866,665,922,612,571,518,286,360,429,237,
169,995,621,280,494,185,320,517,544,503,148,119,700,450,584,939,300,578,245,
855,689,458,746,914,788,255,249,155,151,942,585,081,685,969,115,388,478,083,
122,708,843,532,934,971,624,340,276,787,035,877,418,039,920,579,384,436,860,
642,288,453,987,282,050,083,557,909,278,107,504,291,973,838,466,915,631,923,
971,543,849,175,005,125,159,538,768,729,642,777,793,923,377,826,574,015,022,
376,009,704,198,753,303,536,215,850,501,112,410,553,858,699,159,450,081,250,
812,191,673,097,540,288,884,824,760,857,468,623,502,481,424,035,393,586,773,
281,117,016,535,079,815,718,889,951,360,328,388,850,896,246,283,678,783,940,
177,788,703,601,929,729,705,175,262,921,495,277,905,140,354,981,133,541,207,
083,465,865,278,980,142,743,216,126,201,619,756,245,518,048,063,171,977,751,
532,066,493,307,416,861,082,688,542,950,838,631,873,579,326,431,694,665,322,
921,817,729,762,541,614,008,091,088,411,487,320,139,671,808,546,140,244,907,
816,898,746,208,061,925,584,729,472,973,937,950,607,358,475,786,519,304,602,
389,248,034,077,334,610,206,500,774,151,095,746,901,156,868,468,792,861,739,
925,354,353,475,565,763,866,335,925,535,470,983,680,566,358,476,565,595,946,
421,740,012,019,209,908,012,800,626,360,460,839,546,474,154,209,473,667,393,
268,479,529,751,217,021,355,448,352,716,206,542,298,941,149,007,229,097,662,
598,548,861,875,511,793,719,937,197,519,347,642,288,664,371,770,661,557,345,
382,776,952,259,607,701,357,606,101,959,827,497,601,034,131,765,864,605,685,
077,093,468,115,424,108,313,751,292,561,110,177,275,221,281,429,103,513,702,
714,255,877,115,469,683,979,101,311,509,661,422,133,099,675,753,668,943,010,
955,930,045,683,426,909,615,779,978,738,954,829,847,319,140,310,737,608,095,
617,282,870,396,427,303,204,384,797,859,628,127,376,562,682,145,763,449,292,
291,030,551,880,392,096,957,170,103,088,156,505,069,278,338,784,109,228,284,
449,142,492,058,234,249,145,302,039,876,103,438,401,645,849,883,551,059,945,
479,285,944,611,836,945,004,177,173,346,142,755,881,274,066,756,105,199,460,
585,920,967,795,971,218,684,495,012,804,725,672,797,093,068,888,941,292,677,
803,945,641,176,816,710,974,363,536,572,811,580,744,179,179,905,207,381,920,
669,518,840,009,646,466,773,111,966,970,035,324,074,549,415,805,061,692,314,
643,047,645,733,203,186,876,175,944,940,136,386,216,457,280,501,892,985,329,
489,168,428,407,479,694,985,792,346,948,857,936,274,435,946,195,602,267,700,
688,985,609,017,483,385,431,051,787,604,785,153,895,804,175,353,637,662,578,
618,617,391,858,511,403,431,412,042,642,465,100,284,179,249,711,761,890,085,
671,545,622,443,500,979,487,959,841,593,663,671,656,041,376,888,687,469,480,
448,263,877,836,759,960,052,252,672,090,831,765,272,559,650,575,014,940,384,
099,980,590,816,522,193,080,907,780,651,245,173,278,921,381,144,140,907,556,
229,791,613,690,824,175,149,203,265,525,843,008,009,566,831,875,241,528,580,
410,240,835,417,986,170,635,818,073,553,773,620,603,229,904,021,105,522,329,
980,739,761,675,648,765,642,724,885,593,960,724,202,011,664,970,263,149,947,
611,051,600,285,563,871,113,899,520,998,441,771,609,382,391,934,753,289,736,
221,295,604,219,020,877,513,124,725,317,040,862,441,159,494,106,269,376,049,
334,280,799,301,230,797,454,319,927,995,961,755,620,838,581,251,310,209,588,
207,030,827,898,751,925,962,136,164,190,739,238,683,160,742,623,370,585,236,
545,949,692,989,185,099,233,829,055,835,799,416,157,043,539,151,012,842,001,
981,366,477,390,312,511,632,384,220,361,992,996,298,751,178,308,307,983,150,
966,420,945,010,327,098,048,695,455,299,638,783,788,310,036,112,964,493,073,
256,065,300,910,076,479,446,865,426,541,624,871,957,079,427,747,481,416,790,
085,758,108,118,258,529,238,404,059,434,664,248,374,435,428,796,260,466,324,
235,615,377,159,105,277,146,283,677,968,824,134,624,391,407,036,744,497,377,
552,656,901,353,132,814,333,628,636,192,674,001,895,279,421,079,665,386,557,
122,238,093,305,927,189,365,213,189,849,377,866,261,133,225,277,983,626,107,
194,628,707,842,803,029,877,524,481,955,139,174,376,651,137,920,146,095,729,
386,071,114,067,278,036,086,824,040,440,670,198,971,780,308,800,128,262,046,
593,836,838,710,554,907,126,164,260,872,942,478,579,429,036,850,012,958,311,
187,965,617,884,525,889,615,584,066,994,626,459,588,100,196,518,192,623,812,
285,289,819,872,437,835,061,656,548,758,960,204,015,614,683,477,586,779,067,
295,485,409,280,835,615,934,128,322,381,870,525,764,629,264,731,484,033,551,
392,247,052,997,529,441,188,242,921,111,865,962,404,619,965,200,889,295,876,
741,651,269,152,256,172,961,650,797,582,730,512,335,683,753,974,835,909,424,
718,800,301,564,497,930,478,105,941,412,746,497,757,921,011,883,177,576,283,
012,670,965,244,677,190,748,689,623,514,152,413,258,886,716,284,384,291,266,
768,318,845,495,436,590,848,463,843,990,742,781,498,615,393,782,974,805,809,
984,266,371,072,668,818,290,937,087,094,756,753,093,533,011,373,869,489,673,
716,618,618,556,658,030,625,100,179,510,624,613,276,347,579,348,801,861,037,
219,667,105,810,104,385,467,373,525,818,392,323,514,376,825,497,360,648,612,
045,264,931,573,924,257,972,588,108,568,555,035,261,466,945,136,066,710,518,
136,581,364,500,097,372,248,366,500,724,122,276,003,771,021,047,185,469,563,
962,270,006,589,313,309,136,428,518,223,602,192,304,672,178,746,398,181,898,
393,914,830,724,823,103,432,397,248,108,108,623,100,266,893,405,271,786,265,
743,583,949,526,905,368,569,971,937,053,956,270,391,525,963,188,037,145,117,
220,612,451,598,590,818,739,892,401,125,973,722,014,823,111,638,241,966,252,
939,239,500,131,185,743,951,833,649,773,087,641,748,670,678,314,147,240,386,
686,996,846,560,553,028,178,992,719,950,422,628,564,480,225,441,467,795,997,
084,975,119,373,807,390,169,455,644,854,086,523,918,043,305,326,854,787,732,
068,639,052,516,427,467,089,881,852,933,220,551,748,479,848,437,353,761,298,
728,800,774,877,834,490,432,021,837,387,356,737,017,833,822,447,468,795,037,
587,426,384,053,869,548,492,270,305,451,355,671,538,977,854,417,345,831,009,
484,058,027,447,413,347,404,385,824,809,976,399,727,020,322,867,721,203,661,
209,140,780,278,115,878,114,613,866,474,888,056,448,983,018,256,132,758,599,
097,773,518,362,530,989,517,583,277,884,919,015,791,140,237,594,040,761,080,
716,340,137,097,528,964,525,411,927,859,605,647,765,453,717,110,957,544,811,
028,946,216,084,502,865,668,654,614,984,187,133,403,692,426,236,994,462,937,
786,035,701,986,721,081,670,731,687,572,670,760,321,086,547,306,472,157,982,
328,955,087,564,290,035,380,498,774,678,234,106,219,908,190,370,616,838,305,
505,619,137,214,732,694,412,783,657,409,571,466,724,110,132,835,511,234,725,
682,922,007,913,860,176,039,924,462,908,851,914,958,575,322,894,862,208,910,
093,972,421,410,290,310,326,711,962,228,514,136,027,823,599,006,670,769,971,
568,522,872,607,088,631,012,802,827,173,027,092,897,851,569,722,778,120,484,
754,917,233,312,260,359,581,811,147,844,401,230,696,165,589,419,398,298,731,
403,482,729,157,392,886,196,810,102,587,436,518,321,554,757,347,301,473,659,
018,396,245,588,185,266,872,659,263,944,400,757,465,954,197,848,360,331,457,
584,686,564,475,495,760,180,416,857,932,769,795,954,765,356,736,471,815,636,
826,159,025,617,263,989,588,293,734,274,883,692,653,397,129,364,496,886,816,
668,588,752,714,165,863,641,621,442,506,036,329,458,792,894,207,333,794,370,
712,221,571,936,479,983,878,577,771,110,780,049,106,597,042,112,378,586,609,
718,913,119,384,948,063,333,076,725,582,781,406,589,014,788,451,668,782,291,
835,992,026,068,492,326,567,813,480,522,791,475,026,056,016,552,888,897,347,
216,700,944,006,565,079,553,705,567,829,806,775,110,092,613,730,785,516,907,
999,747,194,064,575,647,956,372,520,600,371,983,879,572,832,219,655,230,196,
559,738,303,852,159,143,548,395,723,128,520,103,789,253,520,938,923,838,572,
617,485,315,736,897,092,423,474,571,277,320,106,383,741,548,952,791,336,295,
851,472,394,101,524,150,145,144,060,300,457,984,482,564,021,269,337,763,659,
371,688,588,795,724,555,304,041,211,316,040,500,764,398,276,463,128,435,142,
743,690,735,432,301,620,376,299,745,998,881,721,719,732,104,669,197,890,861,
650,849,026,237,578,902,574,325,525,353,794,074,263,003,019,756,074,419,932,
667,899,286,466,708,147,111,006,192,100,369,403,616,462,533,824,650,767,586,
806,125,320,650,862,884,086,444,936,867,228,992,877,480,326,687,197,155,288,
428,049,867,738,851,661,390,761,549,229,602,164,194,782,195,293,641,301,584,
733,344,054,124,340,432,635,682,592,729,063,374,175,475,997,564,147,823,272,
704,585,673,935,953,757,832,656,203,964,805,896,114,525,589,075,328,051,173,
872,913,085,830,789,807,385,817,626,008,214,111,707,842,756,442,134,803,856,
514,673,080,490,455,320,288,421,406,247,518,827,111,268,964,005,142,468,541,
455,764,646,311,826,186,316,765,860,235,927,941,295,698,976,273,259,906,212,
004,763,119,656,821,179,797,691,474,902,071,809,535,081,472,160,751,133,608,
711,099,184,037,808,325,590,901,407,816,650,620,556,061,519,547,075,451,897,
595,913,981,224,297,917,639,797,492,888,776,842,736,765,103,815,646,688,812,
967,773,798,750,067,715,026,628,703,762,914,448,290,155,571,317,735,351,635,
034,832,594,877,358,942,622,606,872,193,151,946,472,081,772,681,960,769,475,
872,136,340,596,659,741,081,363,189,823,129,261,142,318,468,483,734,914,930,
195,959,199,189,774,584,414,405,337,237,490,063,884,553,848,992,705,160,816,
128,187,165,191,739,127,042,599,079,460,593,833,104,502,168,297,989,943,000,
889,616,429,800,367,524,019,343,883,350,165,147,358,081,361,768,036,000,215,
373,174,881,485,999,524,579,599,217,844,372,673,830,330,211,056,507,040,502,
050,607,763,732,573,872,225,436,343,537,631,724,381,261,558,493,958,771,311,
373,141,370,033,724,478,047,830,645,655,418,266,034,351,881,043,943,612,928,
425,464,311,104,305,542,453,658,917,942,381,816,820,675,324,131,552,211,277,
545,265,300,168,013,876,020,112,313,845,230,680,703,809,794,757,216,935,985,
942,793,241,343,295,793,839,813,147,035,642,590,143,546,705,648,609,859,558,
626,178,820,759,273,921,825,658,308,696,551,100,618,656,519,804,845,332,743,
182,630,665,917,354,754,842,963,439,852,746,623,603,733,692,360,566,018,146,
537,427,655,621,086,669,640,786,510,272,499,479,728,197,678,219,584,903,571,
366,307,038,770,826,821,137,125,925,990,105,458,439,443,908,886,560,194,243,
413,913,291,370,273,594,620,166,854,312,674,224,271,413,139,038,353,803,569,
813,979,484,485,600,204,178,737,278,609,163,043,964,494,932,731,672,343,722,
452,963,257,365,092,314,098,259,069,137,977,826,140,237,602,557,670,528,326,
388,497,986,674,177,769,274,128,914,021,004,262,023,210,286,507,995,247,156,
173,316,578,610,165,731,603,263,556,381,915,335,862,939,352,158,193,448,907,
866,874,242,101,274,949,491,900,882,148,598,714,255,835,610,119,711,389,097,
393,171,166,682,196,251,139,182,438,000,284,725,379,574,827,727,740,723,775,
380,060,026,670,429,908,986,876,618,310,067,913,863,857,553,230,175,394,847,
946,448,916,571,257,300,895,209,734,306,415,888,926,410,941,639,750,809,224,
896,002,478,378,044,529,875,051,941,673,111,396,585,104,379,111,130,976,425,
464,521,699,415,308,349,508,745,205,319,907,484,044,274,366,865,080,775,420,
493,588,818,012,680,086,801,016,037,356,080,374,731,885,418,886,519,862,157,
448,908,588,579,768,209,515,529,013,993,885,583,225,456,167,669,014,710,411,
619,305,533,514,943,763,089,882,423,844,264,750,253,193,280,875,432,729,125,
516,870,595,575,836,671,264,098,753,541,303,951,769,709,282,543,270,835,063,
420,153,558,039,729,009,421,375,882,150,814,673,276,924,132,460,824,291,548,
600,655,066,709,139,240,255,276,205,948,139,701,511,965,517,255,619,649,744,
483,819,302,227,522,536,167,926,805,056,134,031,154,858,725,510,343,905,432,
203,508,237,744,019,637,854,352,076,704,932,479,117,522,607,976,051,615,430,
351,466,188,358,387,585,510,364,697,757,786,170,640,542,770,654,007,588,122,
643,605,613,696,700,084,336,453,769,415,804,158,007,723,488,798,095,424,726,
892,343,985,805,046,218,824,440,163,464,998,210,003,219,033,910,280,614,430,
915,452,170,524,469,519,614,369,769,259,513,766,735,745,650,263,200,292,170,
125,011,586,683,306,388,812,981,686,305,454,081,782,218,258,485,328,157,902,
776,228,912,777,789,688,664,458,828,737,419,343,861,091,462,427,362,343,675,
125,132,748,431,499,510,014,909,814,364,444,586,774,642,582,006,245,944,150,
796,100,128,186,992,543,450,468,668,069,690,872,519,437,206,254,832,143,019,
852,472,906,581,707,242,511,676,802,890,875,126,827,499,889,011,044,845,348,
823,781,042,528,934,739,331,923,520,454,916,456,259,728,811,229,283,842,604,
727,973,881,390,045,886,941,240,251,504,529,592,024,475,999,285,227,305,525,
148,753,202,152,104,102,309,968,034,878,276,728,713,617,676,969,342,488,992,
632,234,832,238,097,896,662,871,925,333,376,358,653,220,995,253,458,224,277,
075,611,879,600,532,508,947,687,887,371,748,751,310,240,788,861,089,259,126,
699,457,599,897,467,575,550,203,734,377,653,920,040,497,101,229,852,037,369,
913,521,295,077,175,702,537,983,208,066,412,609,122,103,908,746,426,805,851,
806,643,908,356,532,603,943,004,664,963,990,041,268,935,562,116,154,525,453,
758,743,075,121,169,620,661,107,161,266,478,437,202,376,670,704,995,180,251,
234,777,631,766,905,801,817,339,424,664,569,602,912,278,885,607,085,460,123,
876,170,074,338,914,210,532,436,545,649,722,435,779,563,179,384,897,544,434,
974,937,675,229,523,247,974,664,761,691,990,088,825,042,603,456,027,251,852,
130,765,294,857,263,346,390,394,875,413,815,653,423,602,801,797,049,982,677,
516,598,284,411,973,588,215,042,796,652,285,256,481,826,642,704,902,545,655,
311,731,942,451,317,470,043,948,961,343,893,505,403,612,431,393,644,179,190,
771,539,074,289,067,754,265,536,872,916,517,234,578,680,396,636,269,189,436,
576,445,347,468,427,243,802,368,244,056,081,891,923,092,740,613,872,873,931,
024,185,279,183,126,481,491,196,723,998,346,785,965,301,707,342,699,237,094,
039,052,326,401,236,608,196,859,959,115,803,910,681,969,397,120,319,049,957,
529,682,014,750,180,005,453,867,735,253,983,417,324,390,664,190,441,048,723,
102,564,225,217,792,645,742,836,483,132,814,943,721,878,180,515,127,794,823,
199,739,850,783,636,212,509,577,944,687,680,449,181,376,851,377,836,721,246,
903,046,687,616,725,276,458,345,055,841,908,625,204,919,205,867,816,094,211,
382,327,167,342,679,215,349,154,018,032,775,373,773,111,255,358,210,025,044,
508,260,981,355,416,247,315,516,128,584,585,058,126,911,585,519,056,248,800,
396,135,768,845,122,422,321,507,140,542,547,274,819,206,667,732,732,461,428,
295,617,050,612,805,492,345,817,986,531,331,927,907,751,008,625,157,715,610,
923,505,104,111,620,609,932,207,097,360,059,177,310,924,125,694,594,527,498,
275,071,655,226,315,402,940,678,934,407,242,126,933,201,887,588,966,055,920,
748,418,071,029,592,154,130,017,647,372,882,162,428,039,663,876,973,582,055,
139,002,684,692,015,944,489,751,093,225,395,702,806,582,172,149,252,932,727,
819,978,724,533,794,647,078,129,724,909,329,871,058,439,179,072,593,437,595,
056,252,039,644,905,365,864,433,091,954,104,138,454,664,556,188,185,422,341,
548,388,314,998,537,926,881,642,886,091,259,123,900,109,414,890,985,840,276,
527,102,278,186,809,960,081,707,042,254,193,190,167,529,634,798,545,979,775,
824,676,519,851,360,563,499,419,290,920,210,842,273,235,650,270,285,888,766,
587,182,685,699,119,857,320,357,434,539,560,955,609,843,655,532,830,949,415,
657,525,494,956,353,397,283,184,932,626,500,779,908,212,724,032,572,901,997,
673,800,860,457,082,470,448,308,554,482,923,906,635,474,706,473,676,418,132,
056,638,968,640,559,891,825,295,996,334,875,730,285,124,343,352,488,837,546,
115,816,812,137,477,123,031,129,686,262,782,830,729,559,670,704,817,439,144,
628,014,845,272,810,744,730,018,408,877,041,379,923,676,874,184,160,121,459,
123,767,770,820,397,153,856,680,158,295,041,842,676,752,980,566,679,417,126,
049,008,953,388,274,567,593,351,022,634,260,140,517,494,078,129,775,240,381,
756,951,591,342,580,024,640,866,950,685,303,029,723,146,426,221,535,481,989,
750,116,694,485,942,962,283,456,141,755,401,544,128,745,875,942,560,273,731,
816,996,458,813,699,165,311,302,155,846,636,954,611,031,044,017,081,434,484,
535,591,361,001,113,876,370,642,777,688,621,921,664,235,520,061,007,314,642,
368,959,651,329,891,182,658,339,005,565,934,434,967,247,334,526,810,846,895,
301,822,924,637,146,370,465,871,959,307,686,089,150,990,349,084,769,607,457,
815,579,161,231,873,419,784,784,299,600,510,072,684,742,000,797,586,810,764,
573,841,126,733,824,038,201,547,106,493,558,033,700,387,812,456,455,455,787,
182,793,945,727,630,042,671,386,582,082,524,263,748,910,687,974,408,596,320,
915,814,263,779,061,148,494,088,001,022,411,173,538,854,253,996,496,203,620,
387,456,881,280,371,121,988,028,555,075,531,617,292,753,128,047,440,126,983,
858,540,908,975,560,500,655,894,662,532,962,842,839,084,081,139,484,820,156,
574,436,911,749,746,883,426,370,495,550,074,467,309,564,283,739,664,434,440,
900,795,787,450,325,425,708,173,568,328,375,293,095,460,785,673,936,789,850,
105,455,726,903,325,002,021,315,608,734,599,101,858,804,805,360,593,997,686,
112,342,822,642,553,111,791,074,503,044,267,169,374,995,965,098,890,255,078,
639,753,616,507,632,624,044,704,279,984,178,249,524,448,627,784,837,508,990,
817,658,642,475,463,892,559,577,387,285,804,775,722,711,136,640,814,202,620,
142,045,143,910,348,590,819,245,506,845,148,339,120,530,302,531,754,656,513,
227,520,957,890,830,069,941,959,569,759,604,783,498,057,314,691,137,013,342,
172,569,929,972,903,024,640,584,439,942,554,937,675,078,804,733,643,945,242,
735,297,515,110,327,152,749,083,315,072,490,298,872,821,642,059,974,617,514,
037,849,457,258,138,901,108,674,692,578,146,678,409,539,369,546,368,108,862,
007,953,335,158,517,916,793,916,776,242,998,140,893,019,947,535,433,479,944,
182,026,481,779,208,204,861,000,650,671,494,515,733,767,283,293,535,842,885,
230,623,707,935,787,542,871,796,551,586,723,362,667,796,952,029,708,649,760,
975,743,622,757,869,365,423,942,325,896,591,822,387,935,088,811,503,626,054,
750,092,789,079,185,677,694,864,194,929,103,374,845,109,063,782,755,072,560,
169,551,774,358,657,569,016,248,748,588,732,749,058,794,375,089,333,569,615,
314,681,743,107,166,405,699,620,599,175,156,907,568,079,022,835,016,976,019,
051,230,977,009,158,373,950,290,367,443,797,350,847,323,825,423,672,176,970,
535,742,318,859,544,093,761,020,680,347,436,500,306,919,728,507,790,137,522,
518,159,487,380,051,459,801,388,024,360,571,635,265,127,423,732,365,297,727,
108,835,965,728,112,297,009,768,290,516,350,559,093,892,160,731,537,697,828,
096,091,708,566,000,964,431,008,583,481,188,279,987,259,195,751,514,078,439,
837,114,384,938,686,406,069,662,699,566,456,997,390,265,306,153,945,956,167,
621,402,555,998,983,025,352,747,187,736,119,950,538,401,290,147,893,041,954,
141,368,531,790,799,191,885,130,460,388,783,691,907,095,457,168,708,693,158,
550,911,105,368,092,721,079,899,566,569,389,303,545,719,538,706,449,916,229,
170,427,024,144,890,909,105,295,247,247,531,851,474,799,580,678,264,271,523,
041,720,777,726,267,436,757,142,344,241,767,852,647,522,561,898,580,486,799,
561,276,220,816,095,197,334,726,732,236,439,740,849,258,025,444,856,762,148,
952,867,291,423,751,531,044,462,802,494,027,637,647,063,796,647,253,285,105,
137,645,299,089,874,749,828,543,545,639,983,665,160,520,429,209,097,035,119,
622,070,937,850,830,707,902,341,245,661,817,950,549,249,817,273,281,674,219,
616,967,883,268,800,253,727,413,678,390,038,285,967,035,113,836,126,321,558,
702,968,104,477,645,695,595,230,903,302,605,912,864,951,061,856,027,334,749,
095,776,550,303,187,484,174,660,088,758,814,566,983,532,868,572,346,710,677,
004,625,629,495,526,276,172,007,106,459,702,111,646,672,762,696,456,624,623,
047,938,960,830,676,598,167,872,398,618,280,916,184,664,362,371,389,689,714,
900,719,719,636,110,358,231,929,078,328,681,525,359,092,212,565,100,615,184,
872,517,980,645,187,056,397,972,996,413,316,375,609,325,153,222,933,173,075,
511,590,795,220,896,612,052,644,343,864,503,189,075,912,347,949,349,768,204,
557,302,077,054,619,978,151,023,202,986,848,259,863,843,811,520,708,707,094,
400,772,682,881,272,028,773,729,149,776,726,952,361,610,377,498,569,931,366,
751,667,252,972,842,299,025,439,606,705,893,373,247,233,423,006,322,673,995,
714,751,872,402,115,042,540,775,668,199,942,253,915,101,627,743,461,875,857,
426,492,739,091,599,269,569,610,871,898,728,489,440,665,061,086,325,477,366,
803,966,311,249,515,447,115,008,971,699,708,854,302,757,356,940,991,275,595,
084,266,290,394,607,323,907,379,965,111,432,492,251,615,939,721,312,027,985,
959,651,816,019,914,258,125,356,317,709,410,143,023,436,365,497,290,626,431,
774,511,572,404,520,727,179,691,754,611,220,906,852,119,176,210,196,754,118,
572,706,630,479,575,064,177,994,633,246,165,778,370,741,382,156,921,670,408,
443,670,786,174,550,459,640,184,395,305,468,414,545,892,000,169,951,103,769,
492,848,397,354,195,907,578,055,971,350,695,695,327,732,896,100,275,466,144,
573,211,943,004,354,266,182,706,604,829,022,574,008,049,884,676,680,150,073,
406,794,393,110,923,728,396,442,519,874,784,012,964,687,640,654,297,841,980,
785,559,361,120,034,033,500,961,174,343,245,266,376,649,131,332,128,769,634,
885,501,405,584,529,818,984,076,644,050,630,745,005,767,676,993,794,233,501,
393,665,949,892,665,317,474,510,604,032,504,706,741,208,198,828,223,863,065,
822,784,803,702,256,808,802,410,599,254,858,025,152,624,398,129,537,302,319,
597,611,669,144,646,651,624,936,000,823,441,657,624,145,534,031,565,409,558,
260,506,825,293,387,943,477,028,507,336,766,115,787,989,793,320,179,962,319,
644,185,018,570,119,017,632,615,090,991,259,219,240,367,780,243,315,055,107,
879,997,481,613,576,900,845,127,148,292,887,843,508,559,370,425,878,827,277,
887,786,539,983,532,963,855,672,370,587,975,690,648,166,399,514,486,331,368,
662,978,262,850,531,174,638,848,863,604,642,002,492,123,483,086,593,632,409,
879,867,768,867,119,586,983,911,855,730,643,952,866,153,927,016,628,030,371,
002,085,934,370,925,031,821,891,931,318,721,759,073,199,324,607,349,088,550,
955,806,452,846,700,189,538,130,561,086,783,500,226,926,607,127,137,918,412,
020,228,945,015,767,708,038,846,237,985,810,770,729,217,892,434,257,321,430,
544,310,999,779,040,764,356,880,421,216,241,786,070,416,129,621,104,655,141,
360,711,280,090,540,462,473,625,046,147,297,871,596,409,243,424,845,852,566,
001,595,995,080,795,670,128,095,035,039,819,458,036,215,475,515,537,750,884,
678,137,894,522,242,046,764,771,526,279,163,606,505,354,963,078,778,491,395,
580,850,637,194,591,738,179,803,225,814,284,415,821,305,197,853,397,434,638,
688,285,166,127,289,625,472,960,681,620,000,713,728,356,873,244,549,596,243,
093,639,190,544,399,571,576,624,394,153,206,684,025,953,848,611,977,019,677,
799,327,498,764,451,624,554,636,628,912,909,911,950,702,240,098,507,969,855,
088,096,330,282,097,194,931,680,434,731,492,815,355,872,278,775,764,324,293,
784,273,134,839,479,891,332,592,192,497,666,315,522,840,191,272,583,485,051,
762,184,773,239,627,343,047,398,411,390,453,008,011,660,974,991,310,844,975,
289,784,051,170,172,848,994,849,403,473,706,200,646,584,439,833,290,264,957,
608,677,692,706,844,039,787,233,154,654,880,001,206,965,700,473,994,288,579,
221,049,853,936,450,688,025,407,252,047,067,154,567,620,595,375,669,334,324,
297,534,470,736,478,930,254,952,186,119,952,713,816,710,826,768,836,539,806,
676,994,685,408,717,663,043,821,266,203,169,495,016,446,922,244,121,837,644,
756,043,019,951,156,303,099,359,886,201,497,023,050,783,608,440,825,678,199,
715,154,680,406,254,956,064,921,994,970,913,680,337,798,747,205,350,754,432,
119,288,369,188,281,715,269,819,092,478,050,876,532,789,812,338,099,180,643,
944,755,493,802,544,886,079,144,293,730,788,758,261,594,319,103,949,920,515,
365,302,479,648,126,670,963,363,808,775,079,310,280,613,998,338,291,779,627,
163,551,337,258,537,239,114,837,799,921,004,180,049,878,138,394,218,485,881,
650,707,276,650,989,108,962,551,222,004,796,983,463,052,186,477,358,822,370,
973,964,901,745,655,454,655,488,603,393,257,592,684,450,318,606,530,924,396,
060,324,087,079,584,884,907,934,423,305,896,934,718,478,215,207,446,562,793,
654,409,898,659,199,714,377,136,192,481,610,090,485,529,195,219,179,716,348,
375,703,969,462,987,397,416,941,596,266,515,362,231,022,490,640,932,197,344,
402,701,296,445,579,379,258,371,630,698,319,909,131,739,185,232,949,859,714,
382,329,415,887,592,937,647,381,266,027,425,749,866,535,527,897,607,249,912,
121,423,409,232,740,260,719,429,489,900,433,382,685,641,470,795,821,096,188,
544,064,545,050,737,140,288,425,967,776,090,876,674,873,678,617,721,968,115,
566,156,491,386,450,899,038,002,216,358,744,012,818,292,234,876,004,678,015,
164,209,458,695,886,031,741,148,341,567,231,498,590,374,712,738,375,287,648,
531,855,060,362,403,242,227,413,984,787,159,927,626,624,418,443,589,998,090,
992,599,286,448,270,618,519,937,867,170,945,946,680,669,718,758,804,413,508,
918,049,877,584,309,071,280,012,995,031,973,055,783,745,151,373,436,532,452,
756,792,078,401,420,384,164,780,684,525,806,930,350,245,854,751,779,126,524,
339,802,701,779,823,077,578,198,988,023,327,790,326,892,415,527,115,905,275,
207,380,848,815,232,445,848,658,723,070,805,071,224,242,136,726,203,672,428,
933,046,698,098,572,741,356,270,529,821,221,813,374,379,580,429,187,252,664,
795,943,736,449,736,247,184,526,782,912,178,030,103,241,280,824,654,365,262,
353,423,631,761,447,314,752,243,568,973,786,838,128,741,556,345,895,426,445,
097,020,300,764,113,927,762,478,502,077,439,697,657,339,401,467,877,650,284,
136,016,272,274,034,438,377,295,350,909,394,990,192,234,828,197,649,166,878,
093,244,334,834,821,094,877,369,583,250,265,114,937,242,501,811,425,499,258,
139,392,429,264,873,812,075,539,375,292,883,220,470,098,460,629,789,655,842,
473,480,367,571,915,872,437,152,945,762,165,273,866,324,356,635,592,989,833,
330,959,162,222,214,066,396,093,599,051,114,892,360,585,543,188,539,212,018,
717,773,073,232,363,175,739,899,449,685,429,024,494,993,373,289,357,871,970,
111,902,513,521,815,599,048,953,613,655,732,328,331,025,796,360,427,869,893,
290,902,032,740,105,187,832,398,347,088,387,804,745,678,166,713,181,787,285,
295,189,006,635,864,506,503,714,700,877,696,770,167,102,242,394,788,274,435,
127,795,398,240,900,548,038,639,015,907,293,587,393,260,489,200,765,636,799,
347,947,206,899,712,920,344,257,807,300,501,050,999,706,811,912,326,980,539,
225,597,196,499,752,695,293,979,740,014,968,004,682,440,917,541,535,998,255,
824,915,674,272,712,636,838,304,472,748,348,359,980,422,130,021,674,842,425,
527,595,068,631,915,485,882,096,565,381,739,839,743,513,075,391,925,133,573,
829,938,158,460,877,575,738,450,204,010,734,327,778,375,242,082,573,809,163,
648,452,861,721,191,863,881,817,171,306,668,129,123,425,780,062,892,163,335,
048,469,916,581,689,604,926,093,006,488,678,662,328,052,960,087,611,584,835,
084,873,081,272,947,955,344,175,348,000,374,577,715,953,495,323,758,886,084,
398,773,679,990,818,734,512,808,029,151,938,465,340,100,647,797,740,048,596,
083,654,814,379,570,468,824,571,244,483,917,331,068,882,560,274,790,921,253,
327,579,044,116,571,413,368,474,125,188,680,980,983,974,393,360,693,747,680,
282,877,856,468,471,922,903,794,940,741,458,052,581,057,274,246,534,502,491,
533,673,845,072,133,141,951,557,380,521,981,185,351,771,015,949,129,568,832,
858,510,208,560,736,250,916,463,937,359,751,629,252,274,743,058,478,086,955,
990,113,071,169,692,148,582,796,719,259,818,754,391,415,046,598,469,814,705,
668,063,341,544,505,589,966,100,311,404,867,250,649,775,635,156,270,936,354,
685,397,379,556,343,883,606,561,905,706,427,280,988,020,329,753,320,371,976,
546,453,142,386,638,328,809,599,819,253,627,088,103,240,333,865,392,081,152,
001,389,499,456,681,705,828,950,935,471,241,037,575,598,988,677,408,825,750,
644,800,210,756,918,449,923,471,020,588,881,182,091,554,924,641,263,477,390,
176,107,616,618,680,767,619,627,179,748,872,694,005,119,604,451,139,556,404,
901,286,327,588,499,595,064,760,830,674,104,184,236,555,647,254,166,667,908,
899,513,661,612,691,613,124,147,469,249,667,774,026,818,407,704,185,985,577,
264,254,271,959,878,891,139,116,795,412,927,065,563,778,686,692,056,628,680,
259,446,707,125,951,124,263,452,160,065,533,618,637,377,790,613,588,049,333,
526,380,294,295,767,770,512,245,439,033,849,149,052,446,495,312,375,564,525,
225,601,352,527,880,015,002,944,621,334,829,442,131,419,912,724,028,280,497,
506,593,433,226,851,113,589,344,449,371,265,203,567,871,308,139,706,533,206,
073,406,842,292,614,513,241,666,026,232,478,624,405,285,754,586,026,419,096,
005,247,938,139,757,524,132,972,863,701,546,689,977,706,377,147,154,662,172,
431,598,123,635,208,970,923,742,574,147,069,148,938,679,672,464,089,680,976,
934,613,403,426,555,842,811,079,079,784,334,232,347,648,322,703,550,840,181,
799,611,027,348,111,456,337,261,274,700,014,580,778,072,187,965,118,271,312,
596,089,814,029,484,285,830,071,288,051,860,858,309,427,722,968,351,174,519,
565,782,239,087,162,806,683,550,269,161,327,488,148,290,061,165,527,634,488,
918,360,018,393,019,297,124,025,343,945,398,572,481,462,359,658,857,011,025,
277,826,022,132,615,427,514,657,123,887,782,752,504,026,987,166,135,713,182,
364,634,752,281,809,704,056,746,618,372,549,853,513,088,483,798,485,629,060,
306,112,534,184,654,428,105,318,473,069,695,046,142,606,609,387,818,724,656,
970,549,345,653,310,703,856,558,724,522,285,951,487,054,938,124,079,596,345,
963,311,101,438,829,584,180,366,048,234,855,128,040,991,602,091,449,245,673,
582,769,770,592,364,357,881,337,060,979,453,916,465,468,519,912,299,841,791,
731,729,530,916,898,094,367,015,365,587,260,465,455,730,781,368,202,940,793,
239,185,308,772,472,135,417,839,112,411,848,943,973,358,225,682,555,303,181,
687,993,723,054,418,161,328,159,178,280,312,582,832,637,290,219,537,162,492,
998,196,354,623,236,027,565,621,526,922,474,081,850,687,834,293,029,519,258,
222,286,865,156,482,185,401,689,204,291,966,095,295,912,303,653,037,835,204,
595,542,190,159,236,656,624,868,929,900,478,147,671,103,967,335,621,254,333,
131,949,362,137,729,833,281,116,144,831,447,765,841,536,728,501,006,264,355,
792,186,526,141,640,217,135,071,326,053,176,387,121,873,687,781,400,013,255,
104,508,329,131,267,575,392,752,056,576,696,218,590,652,174,251,213,155,833,
932,463,445,276,680,457,416,121,599,734,302,245,686,393,614,095,324,674,728,
838,258,646,648,978,254,658,243,120,598,844,463,691,800,176,312,323,865,312,
503,040,822,564,587,853,707,901,194,547,440,146,608,868,786,136,885,323,373,
868,794,830,875,107,383,455,042,569,996,022,004,254,352,132,441,391,752,647,
771,809,558,960,392,765,879,740,077,845,535,481,080,144,740,768,918,073,009,
114,942,726,707,163,426,816,439,733,853,442,368,219,503,958,766,464,146,118,
837,844,535,883,323,429,659,255,959,397,606,040,908,218,098,706,550,782,821,
318,341,102,680,202,704,368,490,194,988,552,765,489,434,416,114,291,673,388,
534,822,490,159,171,733,152,568,561,253,812,400,422,612,641,689,561,002,237,
056,804,631,405,924,853,144,793,236,954,273,282,460,239,288,142,633,219,375,
015,771,547,541,663,344,366,607,231,225,312,581,979,005,081,434,672,608,203,
370,650,724,051,052,273,678,236,727,348,667,892,745,425,616,601,532,667,255,
458,495,191,332,760,075,065,709,035,035,303,476,579,010,888,854,465,828,269,
024,835,264,179,615,669,654,958,279,924,964,126,877,908,016,622,785,500,654,
900,900,105,694,606,624,440,218,861,875,512,223,985,518,507,701,801,941,562,
959,842,543,060,308,614,102,084,932,016,935,939,105,090,864,417,536,448,478,
341,575,026,029,827,113,485,326,819,742,669,814,845,624,073,053,194,736,278,
487,188,599,748,870,508,445,199,854,507,692,082,034,670,869,412,290,965,018,
623,599,903,913,550,789,837,949,604,880,116,630,244,817,687,564,571,171,906,
491,106,500,259,675,155,993,280,230,015,196,337,343,699,859,296,644,547,591,
161,311,981,021,437,218,146,932,339,074,711,705,645,110,338,159,833,547,248,
686,791,234,996,318,025,551,236,979,744,544,635,254,956,409,518,955,729,722,
894,558,557,831,621,313,296,823,766,303,681,537,658,789,922,527,801,289,184,
579,515,809,133,385,474,399,207,576,632,567,427,727,978,338,224,802,302,120,
024,505,244,403,985,041,196,108,275,732,018,339,865,625,265,523,323,823,493,
072,995,362,964,189,697,436,441,959,119,713,042,359,624,894,308,032,951,788,
505,641,713,278,984,358,602,299,456,098,581,521,473,833,166,749,934,197,705,
253,100,427,686,062,777,694,789,814,505,772,308,275,734,627,658,928,969,563,
778,079,098,841,709,315,730,875,026,034,721,690,035,629,374,955,463,791,405,
870,777,103,221,934,071,655,073,179,765,711,665,025,125,397,245,302,719,175,
798,790,536,536,629,766,604,240,339,792,507,353,702,649,370,598,245,376,098,
164,748,000,145,790,479,381,696,075,856,806,180,385,593,369,445,965,406,524,
763,714,963,565,152,225,044,437,831,450,981,007,064,870,992,838,945,038,233,
118,900,304,811,074,577,684,140,413,455,918,074,467,589,577,864,924,134,188,
294,650,626,870,116,211,242,284,997,437,681,064,251,839,845,665,958,309,918,
734,556,215,594,608,992,659,625,934,710,422,820,700,153,161,198,706,803,854,
094,541,428,633,181,930,169,020,583,617,334,804,390,303,409,070,152,734,972,
510,707,053,765,632,236,980,441,299,917,554,599,238,165,916,829,856,969,030,
906,304,989,557,813,389,810,366,598,739,336,945,326,636,370,296,237,954,221,
433,370,919,534,697,206,198,871,205,135,779,837,261,331,735,250,669,283,710,
861,169,173,361,680,269,904,354,908,605,250,486,019,090,860,020,268,566,471,
679,850,462,789,747,026,482,649,413,040,335,237,973,660,384,501,008,312,090,
172,310,167,662,269,186,164,300,185,689,267,241,486,453,300,297,289,589,984,
506,971,836,622,358,528,800,232,530,129,581,417,454,404,428,603,264,028,464,
370,611,239,076,308,956,469,262,424,086,787,531,127,726,755,271,949,036,170,
025,667,557,933,337,283,563,223,136,264,225,700,993,708,361,178,812,339,101,
199,325,165,254,697,572,081,427,727,698,597,660,709,861,422,320,024,475,007,
000,972,029,478,483,198,515,520,849,949,486,772,848,500,872,285,831,089,593,
999,011,855,285,022,549,672,644,286,517,335,600,253,619,628,441,557,829,840,
999,188,188,364,345,034,595,832,028,799,142,061,679,166,049,931,653,098,791,
746,756,339,837,888,641,530,544,981,677,593,278,900,231,555,830,593,842,702,
999,687,090,966,663,799,972,368,604,509,932,229,062,343,117,361,851,922,172,
030,956,548,229,699,599,609,538,591,130,286,603,660,664,434,872,443,183,901,
215,213,364,350,342,655,377,194,093,382,274,996,880,818,107,877,494,554,059,
578,015,680,911,769,900,446,331,283,094,344,207,463,666,178,339,008,252,190,
518,427,999,441,723,006,890,189,290,944,433,552,555,475,283,038,583,201,528,
630,089,126,048,030,099,296,397,205,860,281,930,251,112,093,816,907,691,917,
298,792,158,607,923,456,395,014,584,888,449,098,249,668,487,048,154,040,278,
937,666,067,291,851,565,358,396,604,510,366,702,902,646,008,745,432,369,430,
904,873,351,138,357,946,005,585,999,429,692,024,138,067,592,160,683,660,696,
257,141,215,985,840,115,934,903,732,056,538,759,116,618,186,107,787,951,335,
188,158,391,029,418,571,440,401,178,033,908,659,733,902,717,516,173,794,936,
615,714,132,320,726,970,279,869,314,871,335,683,389,402,874,200,977,161,185,
000,485,707,624,207,770,874,151,704,561,229,774,865,087,164,979,469,577,578,
848,159,429,363,187,967,855,716,766,481,203,236,094,229,436,561,454,117,134,
149,133,797,202,606,458,541,541,827,454,908,749,045,214,690,669,819,640,478,
217,370,487,910,487,978,487,270,259,840,848,194,003,479,775,753,381,332,464,
725,110,590,848,402,130,705,579,022,515,996,639,421,305,427,607,902,256,715,
854,181,232,841,158,632,785,419,455,516,213,541,359,975,640,331,026,605,620,
603,148,336,765,023,061,352,497,453,237,621,031,818,788,160,152,947,253,646,
354,913,738,166,573,033,468,319,859,205,897,537,187,759,323,188,859,318,006,
888,142,470,095,663,044,155,676,910,399,823,986,661,943,489,586,212,309,111,
700,035,207,272,237,505,187,633,676,707,845,283,760,728,762,939,744,872,748,
876,529,859,893,117,362,912,334,176,988,745,456,091,079,689,665,557,140,526,
603,055,643,846,142,978,494,070,205,652,093,707,514,106,694,749,751,473,503,
975,414,155,758,883,981,013,166,711,207,661,434,323,383,021,800,438,033,316,
587,099,829,721,690,248,732,187,630,218,201,661,232,670,273,124,369,118,763,
270,567,218,169,528,145,745,670,017,059,434,091,276,995,483,427,573,219,720,
386,437,238,331,399,329,027,837,798,706,708,796,705,189,339,834,644,651,783,
421,198,207,787,504,955,904,829,280,182,098,335,672,432,077,579,035,971,218,
230,566,143,322,551,209,612,550,573,753,221,465,926,086,147,194,264,049,469,
157,642,339,858,894,190,342,995,360,373,718,513,205,673,945,014,494,400,956,
815,247,258,570,779,900,882,954,852,252,531,230,818,284,392,643,922,956,253,
935,226,748,541,725,104,919,517,689,126,302,557,965,890,078,830,727,384,069,
954,393,895,242,325,629,866,515,444,511,077,921,590,637,554,510,927,626,642,
374,505,791,588,470,671,067,634,428,352,896,071,607,272,723,539,426,446,064,
946,202,128,310,568,404,784,009,829,459,866,376,879,478,062,733,379,977,261,
817,412,716,370,048,480,517,127,541,367,086,728,280,051,400,453,419,563,993,
579,615,960,372,560,496,859,759,235,127,932,640,126,333,185,304,762,387,511,
598,056,789,061,566,580,598,490,964,901,918,764,766,391,721,307,052,099,296,
006,625,048,191,873,361,363,088,900,919,957,541,552,611,820,547,942,884,674,
757,712,559,244,930,603,089,492,092,325,213,703,167,298,670,225,381,695,009,
848,785,005,853,643,602,292,601,570,678,385,538,681,723,682,286,803,364,289,
673,518,334,168,846,575,178,806,528,341,953,135,541,288,948,253,385,872,630,
676,280,989,479,538,635,753,859,404,082,167,328,111,979,465,861,458,121,156,
710,267,127,967,436,375,724,296,347,448,885,217,158,382,167,714,838,657,410,
645,251,438,585,668,817,305,162,250,304,841,784,153,370,542,213,726,964,119,
760,417,228,177,797,291,584,989,046,939,368,688,502,718,151,186,666,881,275,
133,298,512,408,979,250,315,761,936,884,197,692,548,592,608,575,323,356,514,
303,075,118,550,580,257,334,821,322,046,182,212,900,198,774,314,049,483,533,
651,617,584,587,004,205,640,380,079,744,146,546,353,769,560,381,815,512,893,
811,218,957,516,982,081,530,916,476,125,816,513,241,385,629,699,700,529,176,
097,717,017,976,142,570,128,795,167,611,769,412,572,822,320,808,870,869,664,
759,851,076,327,922,622,070,218,226,953,679,446,917,532,767,017,386,703,543,
046,232,724,589,361,340,175,819,027,155,858,316,450,563,844,305,884,180,955,
552,305,305,649,564,368,901,685,256,287,570,590,614,591,319,889,436,788,943,
939,302,477,697,122,399,105,942,498,828,643,141,313,757,176,769,146,719,440,
900,831,857,055,924,799,068,463,029,660,571,235,479,485,650,327,527,126,080,
054,954,912,950,396,371,462,669,678,265,113,223,552,319,821,175,330,505,856,
590,819,174,395,133,222,063,255,165,956,992,180,107,234,834,833,051,669,381,
708,517,825,985,749,294,106,975,019,855,266,741,419,222,821,187,793,215,062,
328,452,939,890,214,166,406,461,927,327,577,843,537,859,224,306,145,298,708,
660,744,168,546,336,017,575,335,816,305,995,061,525,649,135,612,579,882,622,
820,544,983,523,658,841,971,726,860,858,003,264,815,103,891,822,118,393,395,
123,775,324,382,219,736,327,151,759,260,807,099,506,602,026,197,696,353,930,
842,785,116,823,280,333,250,281,010,365,728,866,933,315,010,702,061,519,181,
587,488,214,259,072,784,868,481,713,693,577,263,126,660,538,580,956,022,953,
059,409,102,369,834,506,560,414,304,023,579,614,411,538,658,009,943,764,367,
928,006,876,204,415,827,954,568,380,026,506,286,869,262,529,694,420,254,553,
243,811,862,330,896,420,812,690,275,883,470,130,787,332,514,981,634,846,302,
438,624,767,168,208,793,166,792,354,775,346,062,191,448,833,107,612,780,857,
829,610,774,554,324,171,391,294,368,741,089,655,959,236,549,065,652,293,037,
599,348,128,959,657,315,525,432,340,630,882,329,263,486,641,858,288,447,327,
709,726,915,919,469,936,427,244,639,562,988,406,481,300,114,056,264,217,407,
308,226,603,168,597,011,289,367,119,349,062,553,168,316,040,486,015,169,140,
429,428,845,781,209,271,299,568,732,483,299,197,598,845,668,181,086,440,867,
613,620,992,945,606,951,936,561,107,475,277,374,775,401,656,059,406,769,660,
693,830,234,072,615,104,257,629,911,997,772,228,873,332,818,159,400,273,629,
602,935,712,907,332,456,515,037,807,645,877,560,292,138,816,605,498,547,250,
099,016,181,658,331,077,014,965,150,568,894,606,628,917,155,923,348,492,607,
558,297,566,618,656,274,239,442,828,188,603,548,444,119,705,633,671,154,726,
980,476,616,464,193,432,586,161,326,802,487,246,769,380,843,042,510,501,396,
859,118,775,272,896,555,141,117,730,110,541,064,082,129,903,608,741,627,278,
198,555,806,571,291,072,892,415,030,369,939,108,046,045,832,496,544,210,798,
443,741,269,296,373,698,712,540,118,702,786,703,159,859,876,229,982,379,385,
920,344,457,786,624,094,855,497,925,097,307,158,552,256,478,550,415,817,099,
772,736,740,040,499,852,968,210,653,569,867,624,811,643,582,866,789,513,835,
014,225,117,399,645,680,710,205,054,631,594,708,142,747,273,926,398,216,959,
441,716,959,614,399,503,491,629,421,038,633,636,650,868,277,526,815,895,839,
984,879,825,767,887,886,161,848,557,621,551,308,395,576,679,042,723,223,139,
117,167,049,125,871,078,543,735,573,110,241,790,505,125,345,054,534,176,916,
009,829,582,408,488,590,305,246,026,190,702,330,390,545,261,834,864,981,652,
704,566,838,480,498,569,879,324,570,673,611,328,217,631,034,520,482,818,623,
069,798,791,875,265,359,398,451,572,779,602,227,438,908,293,569,868,131,385,
292,430,517,642,984,590,189,661,721,598,064,200,088,534,819,105,344,437,599,
923,949,781,765,396,398,545,769,493,599,759,497,194,448,971,669,223,900,417,
414,190,717,650,916,655,589,205,747,696,098,149,887,739,315,568,760,686,511,
280,623,578,013,177,063,575,614,616,527,420,498,906,379,057,110,839,751,944,
563,836,234,383,139,038,520,167,199,794,543,169,856,531,038,778,518,247,460,
623,517,643,470,119,930,909,159,781,043,197,635,432,140,536,082,740,140,597,
761,470,346,819,894,442,446,073,977,551,927,234,062,601,644,479,524,816,676,
599,939,698,646,270,131,134,466,228,008,850,501,442,320,121,386,782,896,540,
746,804,149,635,697,254,791,616,222,949,416,769,234,996,189,916,564,986,464,
155,669,109,392,264,458,962,565,670,440,199,892,211,263,718,545,509,482,111,
881,938,781,545,707,238,643,777,126,077,809,236,880,455,492,648,789,805,226,
521,156,203,623,238,950,357,743,012,729,659,365,388,866,191,097,916,490,613,
239,725,005,547,448,846,573,576,909,191,191,750,883,920,487,380,367,851,973,
190,233,329,877,037,926,614,929,755,733,916,445,326,597,004,204,314,446,019,
603,123,399,187,253,655,758,449,986,719,476,772,742,336,450,098,779,402,300,
307,891,652,291,572,453,932,763,534,357,389,310,506,481,708,751,878,539,942,
443,845,876,527,524,626,227,426,845,868,584,950,409,529,589,378,848,237,984,
710,319,548,871,871,786,834,957,041,383,495,281,434,093,554,229,104,274,236,
986,361,789,067,761,280,599,112,099,125,697,953,322,760,962,880,564,897,521,
482,056,410,202,627,521,749,922,839,531,380,299,549,388,606,937,627,451,507,
052,058,893,212,279,200,918,394,865,194,371,098,788,785,552,361,996,473,313,
879,770,152,303,412,935,089,338,959,615,240,201,857,157,692,966,351,489,318,
329,971,502,225,452,027,446,346,036,683,102,182,651,259,371,747,657,727,345,
729,700,843,408,370,474,649,247,064,439,276,778,596,021,641,321,643,075,946,
735,525,327,489,240,155,716,771,340,563,401,932,767,559,293,352,281,811,610,
025,114,595,941,969,324,197,149,534,986,314,107,978,481,360,191,704,533,449,
900,892,048,561,834,762,367,012,955,144,537,946,876,161,826,185,412,790,678,
391,531,660,732,373,303,914,408,676,905,950,368,715,791,794,175,718,314,078,
616,798,549,479,891,562,890,034,567,350,826,544,812,113,540,709,577,470,296,
939,817,671,962,598,113,338,649,026,735,827,574,475,771,544,536,153,140,499,
563,362,992,730,559,382,594,946,387,052,586,955,980,287,474,408,637,013,114,
891,052,180,691,685,082,167,712,412,375,760,877,867,408,882,540,148,512,793,
347,247,815,954,005,161,914,388,675,903,039,364,361,432,213,046,586,336,001,
497,755,477,413,954,502,873,718,642,477,965,451,358,160,467,714,625,275,271,
809,274,758,959,439,124,094,825,092,506,373,470,838,176,911,098,469,838,268,
589,384,231,385,027,756,602,601,431,887,716,203,710,748,667,191,512,088,264,
396,061,588,816,029,951,197,471,158,942,188,536,245,582,193,935,542,851,728,
462,613,715,698,723,740,739,020,426,853,042,024,323,804,952,053,364,771,680,
655,281,163,244,418,624,916,855,762,590,914,161,979,949,210,167,466,408,499,
781,904,734,998,792,067,934,501,367,809,979,003,804,409,230,700,361,223,733,
879,177,799,369,924,293,102,787,291,738,252,905,710,901,853,417,719,695,043,
178,210,277,278,477,417,378,920,273,069,484,421,080,083,023,539,817,155,043,
808,006,137,706,390,404,928,475,560,487,543,203,409,735,960,887,258,587,805,
011,468,887,568,374,173,235,428,262,544,809,424,556,937,046,595,521,624,286,
902,249,620,544,077,062,409,368,848,476,967,963,487,871,629,058,667,031,227,
700,917,409,217,883,346,641,794,938,427,994,608,533,054,287,857,101,975,418,
227,488,616,840,891,594,056,511,112,021,625,276,876,847,467,965,356,899,235,
131,481,406,367,602,838,646,411,008,483,930,922,340,469,747,339,010,841,319,
394,504,531,228,259,187,848,819,139,380,564,344,545,512,540,316,288,376,511,
863,406,357,390,318,502,646,260,095,412,049,292,249,963,794,603,085,857,026,
053,964,836,761,333,772,581,789,921,592,327,361,805,381,158,593,049,128,590,
244,147,929,549,734,580,608,791,759,065,800,224,305,488,473,823,356,378,426,
087,879,857,223,471,901,919,833,453,602,540,301,457,197,268,733,940,238,356,
441,933,398,985,617,649,377,322,735,220,094,357,974,573,454,384,836,642,369,
902,224,696,856,138,065,556,590,852,915,428,507,897,847,375,373,425,113,109,
131,314,903,669,080,293,281,607,493,027,574,345,390,994,448,235,741,450,726,
348,055,696,139,957,725,771,040,909,668,578,052,028,046,730,732,400,436,929,
222,608,732,690,899,481,319,048,163,972,813,425,189,977,506,764,108,846,256,
942,909,292,630,120,429,939,113,956,814,647,202,462,703,502,362,378,978,530,
367,608,115,625,741,534,883,380,928,333,149,939,731,032,511,108,154,790,159,
699,170,355,983,628,329,007,270,854,024,451,148,058,391,859,152,088,550,212,
170,472,759,352,495,130,266,425,865,190,284,291,301,670,374,025,814,903,289,
760,592,180,923,534,946,290,793,832,851,008,280,570,575,157,216,352,679,528,
207,580,736,196,935,371,194,301,471,733,084,010,121,259,163,451,124,006,468,
126,851,783,582,999,493,293,288,464,158,190,204,144,404,837,300,740,093,075,
452,321,979,976,878,649,602,592,858,111,429,301,825,305,196,204,935,067,687,
063,360,747,607,436,584,807,197,849,366,925,337,648,340,092,108,537,072,310,
660,552,200,421,906,436,575,392,859,730,720,347,121,656,535,154,776,898,285,
903,471,708,701,236,267,221,835,055,605,296,481,168,959,040,358,541,054,996,
962,159,132,602,867,250,511,053,177,177,923,503,037,338,809,639,287,419,044,
682,266,991,845,937,307,351,144,886,448,751,203,091,040,834,042,697,390,897,
374,898,535,734,528,950,257,360,404,393,556,961,127,698,788,660,609,512,713,
943,572,671,603,465,471,069,207,485,164,912,746,081,830,655,515,818,723,431,
742,184,227,322,494,825,839,590,856,162,496,842,618,406,472,143,747,787,019,
360,990,334,405,554,734,885,372,616,298,427,021,672,214,969,126,992,647,614,
803,228,705,240,396,251,058,344,045,719,213,218,844,766,791,451,401,588,687,
676,607,670,960,848,698,659,361,087,953,457,819,449,489,928,862,280,404,671,
600,184,789,485,035,772,450,091,680,243,937,683,941,121,696,496,641,597,424,
791,526,713,093,988,472,224,733,498,603,349,948,563,354,794,266,354,944,996,
742,651,687,442,207,665,834,828,853,078,032,321,530,686,066,868,839,337,258,
672,898,109,927,383,263,455,537,802,401,353,622,569,866,644,410,136,353,530,
381,247,098,693,316,780,029,031,296,509,407,118,036,781,558,104,526,907,814,
378,755,063,912,124,419,096,357,202,988,490,198,382,560,419,155,342,085,118,
142,693,238,412,111,748,744,734,298,361,446,345,260,411,569,462,308,377,614,
226,031,223,415,004,019,016,473,064,233,036,953,427,400,665,780,091,944,340,
575,345,388,512,314,212,831,013,457,989,599,519,263,299,239,037,508,115,837,
747,391,968,663,523,602,959,177,933,690,613,789,847,300,560,186,672,086,134,
310,881,178,385,372,074,947,037,826,891,527,494,911,112,762,544,298,830,455,
423,786,140,034,196,066,552,388,962,004,598,290,081,665,050,281,341,892,436,
600,539,685,195,824,091,783,264,477,561,661,317,989,672,076,023,484,030,363,
778,708,278,097,160,694,699,412,853,332,591,135,329,370,694,500,408,014,832,
036,887,098,197,946,289,742,567,973,892,478,821,423,315,435,191,467,585,443,
737,295,888,600,722,802,365,086,535,134,920,737,046,912,940,456,942,065,569,
222,968,287,412,104,677,078,117,361,138,396,027,459,384,379,953,583,918,693,
126,844,783,985,358,645,939,136,216,378,692,344,968,129,542,850,886,754,383,
622,826,705,458,468,871,234,575,375,251,736,495,041,507,861,680,665,700,430,
779,284,608,211,353,994,602,456,469,692,228,874,719,378,848,550,759,817,069,
169,457,584,702,008,631,522,983,096,623,116,701,535,788,341,045,140,050,377,
468,486,858,548,288,032,263,259,255,186,078,146,245,050,334,605,560,389,289,
690,728,379,409,748,050,821,226,376,563,603,041,532,901,983,427,578,142,692,
348,309,203,008,460,492,088,350,202,142,088,001,044,601,495,464,208,018,873,
889,866,685,705,243,463,819,172,263,563,971,689,213,444,706,014,476,680,530,
211,833,448,623,677,331,794,055,726,935,765,376,280,183,769,372,138,296,077,
024,240,683,436,345,747,030,979,958,435,452,746,078,016,555,865,877,313,936,
706,042,334,000,925,554,812,274,651,330,923,217,775,036,820,011,730,477,809,
395,275,322,010,445,705,203,312,329,716,997,690,216,641,741,078,744,932,053,
396,827,402,606,776,304,950,003,144,731,915,406,005,885,321,094,867,686,087,
738,692,260,895,733,233,038,025,117,218,285,001,747,681,363,004,739,372,620,
611,064,425,963,458,755,659,506,938,774,743,201,918,734,697,161,954,769,473,
953,048,435,606,947,488,005,605,476,905,947,769,649,682,748,431,017,241,898,
791,414,816,671,769,347,280,134,996,460,138,503,501,238,859,227,804,459,057,
231,964,807,367,313,730,391,277,994,157,060,904,237,440,452,605,337,086,924,
198,708,488,957,760,409,708,252,237,414,321,275,552,196,580,778,838,623,906,
671,519,410,444,085,859,367,553,894,745,891,017,713,783,255,684,008,017,904,
056,833,147,764,740,590,442,025,002,299,261,648,187,246,389,394,211,003,761,
170,747,552,595,650,154,969,979,088,217,090,825,324,725,678,515,035,905,577,
199,779,298,156,347,484,224,879,759,463,665,030,063,958,909,431,064,610,631,
363,934,531,225,462,116,094,335,348,864,491,671,516,747,346,953,038,440,698,
720,922,915,296,699,989,739,516,965,617,650,847,660,374,009,900,065,765,283,
011,892,176,060,198,556,304,701,676,169,823,209,478,718,374,754,273,102,142,
345,410,061,871,321,263,007,780,213,797,932,483,920,771,406,841,161,495,613,
773,431,148,260,668,255,664,600,286,191,119,111,618,424,198,284,898,117,152,
693,905,378,482,749,046,960,420,720,685,519,479,459,042,948,688,001,942,010,
795,291,587,056,091,820,228,739,435,286,602,652,159,719,985,702,627,331,056,
563,445,759,632,794,035,550,041,980,501,454,582,325,601,761,253,527,718,362,
397,197,673,482,504,712,199,802,355,199,197,872,382,959,652,097,913,491,232,
868,161,457,644,344,656,827,425,608,147,720,455,883,372,380,809,159,006,434,
557,334,263,909,294,246,815,277,106,347,057,563,931,308,996,774,598,884,817,
052,959,484,376,118,067,247,675,206,169,459,995,689,490,954,393,726,567,914,
678,988,266,006,968,122,933,426,822,144,076,089,338,166,763,704,988,413,724,
267,180,009,292,693,505,130,195,248,374,487,323,330,866,467,929,122,978,494,
553,397,699,700,726,109,628,912,504,605,754,482,310,187,946,573,867,093,467,
353,199,894,352,981,055,344,247,326,069,610,316,883,772,769,223,052,873,319,
555,985,391,461,114,508,728,171,450,610,482,524,506,878,608,483,638,024,927,
033,752,293,553,984,489,095,107,663,696,770,551,788,341,396,289,984,839,599,
610,081,696,219,523,122,106,265,301,412,189,966,739,490,999,975,405,547,840,
468,155,374,263,848,707,773,783,635,696,427,323,983,281,579,503,118,495,587,
191,523,604,152,899,093,408,732,169,564,915,532,025,729,949,871,621,219,811,
174,097,601,443,670,870,892,779,754,495,314,960,544,958,095,602,349,347,977,
535,940,202,819,438,231,500,142,638,552,665,557,564,130,451,794,984,526,764,
436,023,516,432,024,602,095,949,478,484,558,141,647,464,162,567,822,935,746,
803,721,515,291,464,114,089,413,207,874,597,619,692,361,582,390,733,673,574,
938,896,236,939,182,879,320,424,902,211,378,241,288,681,044,909,381,968,681,
984,174,669,496,039,962,348,124,409,951,491,863,742,095,857,348,942,050,360,
989,516,075,265,927,221,962,496,570,743,741,308,805,838,425,322,418,694,447,
425,927,503,447,901,393,390,846,877,939,128,360,324,929,594,176,852,880,501,
047,558,663,809,946,342,496,046,334,387,396,839,328,025,437,187,721,499,754,
039,386,968,531,663,773,898,784,469,595,511,038,370,470,774,529,716,717,906,
078,413,668,015,806,555,288,235,346,712,140,610,463,846,224,996,092,390,050,
660,444,637,071,941,046,838,737,621,258,223,676,494,018,200,962,033,004,322,
623,385,495,548,340,485,062,072,485,781,789,060,539,886,024,996,327,932,871,
858,802,785,968,027,726,660,965,615,907,749,479,667,466,508,975,510,217,613,
891,490,203,226,702,386,217,863,794,796,937,507,260,712,500,330,663,263,331,
409,632,566,689,566,474,968,265,157,730,901,866,554,807,701,533,850,874,680,
972,387,178,833,502,431,969,808,277,970,166,017,401,949,359,549,995,336,359,
487,123,437,736,570,390,451,218,454,410,946,957,718,195,786,805,652,720,249,
365,411,458,993,828,798,618,132,126,347,502,733,468,561,607,506,287,189,180,
054,685,637,112,162,970,738,352,547,380,291,658,614,192,815,470,762,207,876,
446,854,772,072,334,961,629,839,986,910,704,909,141,570,741,703,014,319,337,
948,087,973,980,862,509,818,607,337,439,601,816,535,525,479,407,756,750,449,
491,732,265,591,349,862,773,378,206,335,596,308,419,828,928,549,310,588,195,
918,179,791,734,535,066,619,249,174,704,956,516,164,817,633,729,369,702,637,
243,081,921,624,174,264,143,474,756,985,759,834,757,125,285,086,474,556,559,
556,907,197,077,974,028,682,358,353,286,692,888,288,402,621,107,572,806,051,
147,270,759,908,680,386,028,974,924,924,145,434,703,817,020,640,892,576,949,
273,488,598,917,862,414,329,028,221,873,800,309,940,464,641,186,699,294,254,
578,377,793,499,250,330,987,098,069,154,670,775,698,165,643,189,767,689,618,
123,990,245,615,627,415,808,967,799,738,437,957,288,713,914,991,738,135,807,
858,907,950,054,476,181,469,490,486,360,817,991,063,320,370,427,083,981,748,
513,528,421,062,353,297,600,705,623,432,521,806,880,213,995,965,037,050,287,
391,807,723,848,411,514,433,384,388,272,739,885,883,407,265,792,256,514,193,
590,539,472,649,097,031,286,350,040,914,049,744,893,055,431,391,355,564,987,
850,610,874,689,869,454,151,506,106,462,386,129,104,231,726,229,114,455,497,
396,617,421,947,136,001,759,811,669,419,533,472,229,000,599,960,834,399,522,
419,268,653,223,944,017,080,950,727,896,353,980,592,314,922,844,437,663,909,
141,836,187,345,961,061,330,114,256,181,613,381,303,426,588,249,829,180,626,
166,056,937,250,722,204,553,675,719,841,861,300,906,910,240,806,502,816,649,
679,314,326,917,624,478,682,649,194,541,161,960,191,236,294,500,520,491,487,
631,661,765,637,144,532,960,307,725,433,095,841,589,804,069,206,248,871,563,
670,315,635,468,771,141,231,613,511,034,641,477,268,902,890,388,186,417,123,
192,572,862,567,238,951,671,752,425,519,459,370,545,177,167,320,539,269,428,
729,533,645,532,370,324,881,371,843,322,044,122,617,209,782,603,346,800,004,
960,274,865,427,596,432,853,817,235,309,030,151,379,004,269,284,175,071,657,
300,181,123,672,732,440,674,184,572,612,805,678,150,099,314,106,897,421,619,
670,129,767,205,252,594,932,695,553,272,077,256,395,285,809,358,318,371,188,
968,331,384,737,042,622,490,046,867,710,192,628,056,369,094,592,842,024,321,
477,895,419,455,962,180,508,479,332,686,315,725,136,740,443,605,837,565,338,
014,875,787,239,646,882,772,443,684,886,599,020,795,226,866,311,487,488,964,
812,460,930,933,961,050,710,624,853,049,014,534,117,840,015,883,143,090,264,
220,545,650,867,796,957,355,525,715,666,043,817,523,178,973,104,755,243,923,
913,503,347,693,620,541,404,418,782,474,061,511,930,818,258,891,827,815,931,
159,431,063,447,129,667,913,686,258,046,264,817,819,350,442,237,890,248,667,
242,785,493,011,664,888,515,290,021,624,851,928,663,545,211,889,694,869,225,
957,689,684,040,939,132,222,883,761,796,856,330,782,154,973,724,086,412,027,
570,825,703,851,924,492,427,980,678,002,165,462,933,667,969,674,099,400,458,
639,269,634,570,839,243,703,431,760,358,437,881,452,711,388,660,024,939,011,
512,636,239,596,707,496,622,440,200,038,227,866,513,351,198,037,856,633,695,
334,651,974,614,738,979,384,787,350,468,651,363,387,623,012,167,113,260,293,
548,190,665,427,809,662,250,761,302,187,038,412,008,093,330,579,836,444,618,
869,045,490,928,009,320,372,142,435,206,351,883,026,716,072,335,048,481,894,
866,577,398,666,079,218,700,948,261,427,325,970,730,708,628,816,337,265,769,
790,118,815,511,724,960,931,019,905,132,558,058,463,857,311,440,638,015,757,
074,455,049,137,371,388,279,108,784,220,458,579,354,877,683,123,442,389,025,
256,492,742,992,715,517,907,132,324,002,692,175,250,316,317,097,948,969,802,
157,352,142,316,822,568,477,213,506,448,876,447,003,850,849,290,780,866,649,
989,115,953,507,857,221,661,835,090,282,813,917,261,475,664,714,104,186,145,
274,256,446,141,613,632,690,032,634,796,244,145,379,091,467,337,214,665,229,
092,597,230,069,651,022,264,707,797,268,869,870,191,630,429,111,634,648,569,
117,486,652,111,066,947,731,257,977,541,776,209,111,650,271,250,496,574,408,
374,684,425,205,420,601,419,595,546,701,956,692,108,079,396,328,360,669,618,
445,707,405,805,765,859,630,466,728,484,114,931,425,283,345,027,301,484,019,
578,938,006,864,892,435,778,983,380,900,393,009,218,983,514,084,200,889,120,
883,922,883,747,956,908,519,450,885,189,890,760,889,221,033,929,280,858,941,
177,335,450,603,435,754,249,264,713,058,182,462,898,889,726,662,533,166,827,
050,598,473,470,139,137,721,417,633,720,474,095,924,692,350,455,912,661,156,
669,408,669,561,054,253,646,534,018,619,092,890,925,012,341,858,165,133,897,
592,858,428,613,171,330,328,865,206,808,287,558,115,993,710,249,378,247,379,
290,058,724,871,386,328,868,533,331,745,337,779,445,049,221,834,095,506,974,
645,720,337,327,410,456,137,451,923,767,776,238,079,765,533,945,883,868,193,
469,552,892,376,718,238,058,766,678,049,145,463,494,266,656,890,272,302,313,
647,048,259,222,402,047,999,465,390,498,627,762,387,213,723,469,999,405,648,
757,657,882,126,894,424,058,040,489,760,535,652,429,391,213,056,577,674,492,
526,531,983,068,690,775,408,960,546,358,218,783,740,867,432,434,409,553,867,
700,380,717,736,615,071,922,251,828,727,531,017,412,548,331,072,924,599,922,
224,791,459,015,546,757,720,137,984,677,337,452,020,239,780,206,284,463,961,
600,896,114,188,031,217,464,647,792,590,282,345,973,564,187,372,950,281,720,
727,420,412,925,448,339,604,531,482,659,036,942,990,126,993,375,990,623,026,
347,104,368,472,269,905,882,925,482,495,404,099,711,416,102,484,475,113,037,
887,640,383,288,653,297,108,583,538,769,822,169,106,484,366,633,126,392,226,
459,431,443,911,809,803,029,566,681,784,760,823,319,013,397,738,182,627,927,
299,289,590,199,642,505,164,940,732,371,168,564,249,755,388,867,145,548,625,
412,767,565,415,808,232,837,231,665,963,519,980,709,909,992,037,660,334,132,
138,165,567,887,822,873,120,635,784,836,288,490,413,884,832,410,564,874,927,
066,790,708,443,126,535,845,575,485,866,841,116,276,629,321,599,507,924,277,
864,045,801,772,917,608,303,205,528,724,263,596,356,277,096,542,574,153,170,
258,278,951,413,532,043,001,251,664,057,750,484,725,760,991,985,179,985,472,
880,761,514,056,952,855,836,834,400,382,677,857,054,269,886,692,826,154,314,
997,046,226,095,912,649,393,469,417,710,224,703,433,681,291,809,113,405,964,
806,617,188,844,448,661,666,797,531,196,975,306,357,617,430,700,144,154,319,
854,374,958,319,733,927,930,537,075,619,871,313,860,358,960,296,955,258,655,
819,187,168,962,502,939,979,402,943,188,334,097,200,487,437,622,582,042,085,
997,304,549,116,262,296,596,666,217,350,198,636,806,732,729,543,727,056,629,
453,530,343,340,775,413,491,483,516,321,708,103,917,167,402,670,756,247,902,
038,501,960,141,516,356,099,527,565,445,410,684,672,362,609,610,528,552,589,
507,324,197,440,472,184,702,554,794,566,059,950,856,060,795,230,434,414,460,
941,608,839,239,331,171,339,504,759,416,208,651,928,479,184,702,996,770,759,
863,631,289,981,977,039,137,249,936,982,663,504,958,334,814,822,932,469,414,
725,155,208,423,989,494,000,094,254,512,023,073,706,837,469,100,408,659,494,
562,178,897,313,097,515,633,688,251,892,932,834,246,710,540,184,980,903,412,
979,805,307,357,294,865,352,986,023,383,531,610,970,965,467,185,736,354,798,
385,652,214,776,355,672,827,267,679,515,689,068,711,283,141,845,848,900,437,
588,894,138,272,411,010,845,607,356,750,292,084,261,844,468,819,500,338,265,
327,619,647,727,128,603,590,927,465,541,302,921,772,099,470,553,576,301,131,
178,148,788,072,308,438,930,758,368,296,310,288,016,037,749,797,172,863,214,
052,825,773,772,561,704,972,309,876,398,018,304,115,044,836,580,301,634,645,
600,494,370,621,660,567,902,255,211,301,352,596,766,987,183,688,270,662,098,
745,229,974,414,376,428,594,014,559,749,454,040,907,759,593,332,238,608,476,
419,934,850,655,709,591,183,006,735,889,790,474,562,811,422,986,622,639,071,
643,936,926,329,925,329,578,833,180,296,648,920,490,015,449,397,113,477,416,
557,243,607,920,783,361,746,876,125,439,304,688,663,438,964,795,694,335,501,
635,476,818,662,362,384,483,168,236,655,570,992,952,949,728,951,069,353,766,
647,223,050,867,364,123,239,453,625,238,009,994,924,841,199,305,820,053,780,
011,903,735,555,458,419,628,592,009,458,981,070,420,229,844,525,781,456,595,
005,228,508,766,693,667,754,669,411,529,478,603,048,985,347,717,680,102,735,
341,215,221,306,899,026,892,217,376,923,034,427,688,996,383,664,760,372,959,
562,808,014,542,364,718,390,925,125,079,924,428,037,870,169,931,752,443,598,
943,024,817,085,779,124,234,188,621,020,985,768,517,977,714,995,740,057,703,
005,326,820,802,271,508,807,464,693,945,683,154,345,847,673,312,538,291,658,
051,364,076,766,249,345,542,100,647,979,024,467,340,652,199,716,383,137,538,
556,027,669,444,339,295,810,732,162,107,074,757,467,163,614,256,602,780,863,
142,561,871,966,635,518,568,060,822,576,357,186,495,000,411,541,641,928,431,
703,863,537,647,613,690,774,551,721,948,172,006,241,642,097,218,217,786,900,
687,694,905,340,380,818,828,402,429,946,975,478,450,733,470,723,127,783,513,
754,479,750,698,383,860,194,886,517,144,390,461,447,576,569,834,399,874,157,
961,072,252,821,462,043,595,107,562,582,986,609,648,185,730,076,633,885,146,
514,343,083,997,350,188,646,435,567,159,841,438,150,971,750,204,863,753,157,
127,739,618,771,859,879,834,300,720,439,989,142,668,506,210,047,875,063,478,
111,596,732,659,654,827,649,888,045,979,053,445,635,003,932,448,588,710,827,
653,823,169,223,626,446,187,321,237,430,321,117,520,762,148,314,140,572,563,
651,684,797,215,382,089,086,673,712,810,530,147,958,208,011,484,700,438,762,
082,545,778,221,386,106,055,733,993,678,519,253,189,875,460,271,649,101,482,
848,442,806,718,926,580,276,633,974,960,821,535,097,628,181,437,374,517,615,
623,326,394,959,123,919,307,685,001,799,818,557,512,118,785,208,061,150,007,
156,082,752,148,698,677,346,328,272,387,329,344,260,969,833,478,995,253,350,
779,898,466,516,347,846,704,227,138,469,357,278,963,322,347,246,306,518,899,
304,922,053,266,947,624,776,177,956,772,076,030,969,046,037,042,712,323,803,
470,847,775,250,018,855,601,137,124,711,836,690,810,424,561,862,243,258,448,
471,084,766,390,531,623,770,691,263,630,070,334,793,152,536,823,303,996,430,
248,849,363,961,303,491,053,820,660,125,006,670,988,407,420,940,976,803,266,
918,215,407,516,300,094,219,771,910,025,057,078,934,191,127,094,633,494,126,
029,654,341,711,389,390,229,988,998,307,860,466,918,710,404,133,455,752,948,
144,604,773,836,057,200,880,828,088,242,985,849,632,098,096,649,892,294,665,
924,832,277,177,125,649,044,310,153,735,243,928,265,445,644,317,906,023,647,
897,683,496,573,908,577,253,410,051,081,654,320,281,056,761,917,231,894,257,
289,695,527,802,974,752,078,785,878,181,796,085,709,829,637,076,595,964,905,
562,715,927,335,814,139,718,823,317,242,003,460,655,871,892,181,992,952,459,
779,613,987,323,309,361,518,959,604,308,595,503,617,060,010,367,016,168,110,
816,740,742,961,020,302,272,373,622,103,964,852,580,378,278,955,387,185,775,
900,121,343,984,735,603,099,136,437,022,920,345,052,727,468,504,034,717,819,
297,561,251,770,896,838,732,855,371,144,778,520,500,584,496,600,897,766,511,
111,304,789,067,929,738,250,797,740,598,477,378,894,326,715,917,967,522,946,
297,762,116,727,992,325,812,433,856,358,372,406,959,072,573,974,740,268,388,
197,265,326,972,732,813,694,436,609,478,383,990,093,719,916,385,018,299,692,
515,693,037,763,427,999,364,144,033,669,899,769,496,609,606,461,094,308,418,
368,645,791,825,053,799,048,271,651,751,846,679,674,699,759,995,767,899,031,
226,841,898,697,306,557,792,906,244,657,985,574,083,886,086,967,684,703,527,
160,093,115,244,308,615,347,540,479,313,169,735,442,343,319,464,479,132,374,
459,498,191,485,229,861,026,474,736,441,908,743,498,352,091,245,577,078,986,
075,249,248,958,381,654,630,872,188,407,859,348,771,942,086,981,988,750,525,
648,609,617,747,762,349,071,866,433,421,691,137,202,088,123,093,088,883,520,
767,261,995,536,123,291,714,023,651,842,799,367,500,701,744,275,286,512,016,
554,701,791,313,880,919,404,265,336,635,036,666,268,869,110,524,367,778,685,
577,266,073,529,770,364,593,673,154,494,707,896,177,064,627,362,086,279,544,
681,927,825,517,768,323,182,176,789,097,772,337,283,725,543,072,806,280,310,
439,340,300,292,289,956,699,311,727,240,427,209,845,094,998,108,991,503,976,
936,437,068,219,476,694,716,949,070,696,429,836,190,425,666,178,551,177,016,
679,089,460,876,554,354,584,347,360,049,282,159,091,332,975,755,705,742,575,
912,894,849,899,171,651,927,670,715,350,152,304,064,757,324,077,456,283,229,
472,077,116,973,303,570,982,741,240,862,130,283,449,448,192,790,130,057,085,
781,458,973,107,385,133,720,047,253,215,804,192,089,393,589,718,947,150,242,
208,945,706,633,342,659,836,418,017,026,971,103,523,655,147,662,144,960,178,
053,054,172,010,951,383,186,370,894,339,556,603,851,744,608,915,969,954,725,
796,481,649,575,865,042,344,558,499,954,296,406,110,020,224,691,814,894,479,
033,037,598,639,745,304,454,379,033,604,961,711,813,712,234,840,758,144,530,
933,364,743,692,777,015,236,504,259,569,657,325,919,661,404,485,113,258,886,
705,313,203,563,504,373,021,660,904,257,506,294,229,011,179,556,386,234,528,
239,735,293,518,549,073,328,889,206,474,094,653,002,425,758,730,915,124,779,
708,654,372,073,443,868,616,715,877,458,572,409,354,373,736,701,661,238,406,
541,956,856,467,934,300,060,011,956,908,609,982,050,905,248,253,606,017,601,
445,727,329,948,177,742,984,780,286,732,211,552,440,225,987,065,224,775,741,
966,065,082,004,023,905,684,250,771,781,772,311,926,578,800,346,435,813,775,
836,361,887,994,243,246,083,375,709,435,984,239,035,207,865,773,106,270,305,
697,423,940,624,902,734,689,310,602,717,479,147,575,766,602,049,045,919,607,
901,391,330,339,225,705,782,169,678,075,609,790,175,065,375,033,538,770,567,
346,146,938,543,803,927,111,722,349,254,520,198,268,334,800,150,497,446,027,
181,545,151,929,051,386,126,745,763,304,329,669,135,236,183,753,971,034,260,
307,463,107,572,538,628,493,853,669,993,611,111,379,381,395,298,556,194,075,
464,041,986,606,185,527,112,233,284,086,902,643,390,701,902,178,124,075,505,
340,114,100,209,465,673,902,920,790,055,890,759,602,746,819,618,167,456,111,
103,328,519,501,267,303,715,771,654,022,099,660,133,835,878,899,760,940,460,
304,005,913,608,354,090,075,669,204,879,136,297,433,223,418,349,909,729,952,
348,884,640,995,034,874,114,740,047,532,961,089,279,835,498,378,280,761,362,
836,353,605,803,357,357,421,388,778,797,602,853,091,808,240,979,838,973,421,
183,381,188,837,999,793,282,773,685,870,213,616,651,891,347,401,389,053,560,
328,734,378,784,482,732,425,119,604,545,603,689,638,195,801,119,961,353,474,
437,359,253,355,730,499,901,165,665,165,568,407,660,369,581,171,925,438,403,
086,292,026,852,241,334,462,854,666,421,033,771,818,986,029,379,042,223,729,
539,920,755,355,331,157,931,850,500,464,579,724,568,606,551,322,734,298,370,
779,674,178,986,242,289,768,524,923,653,669,230,510,662,879,437,470,295,937,
558,692,415,313,812,380,731,977,571,534,825,908,824,858,376,442,162,617,604,
517,506,327,916,841,479,116,456,315,451,035,113,115,665,688,525,218,759,539,
464,668,718,111,787,000,899,586,903,701,121,553,735,215,538,983,602,781,111,
393,227,973,154,189,399,358,276,446,181,515,426,089,758,273,448,137,391,346,
379,429,335,910,046,784,982,817,731,670,508,502,644,939,899,799,126,654,367,
009,467,130,854,729,243,134,829,375,815,710,805,164,851,306,812,530,423,881,
555,650,319,939,507,586,351,103,930,184,005,861,678,978,662,656,924,762,782,
227,329,773,064,922,682,059,995,665,677,209,572,567,339,494,985,653,632,243,
963,057,679,525,208,339,077,815,339,693,559,486,597,521,977,597,074,624,322,
147,696,131,946,949,976,640,131,727,018,190,858,065,954,247,356,022,132,220,
840,783,475,748,944,192,143,007,549,137,648,821,348,833,970,483,341,220,658,
150,605,286,121,539,710,515,753,020,583,148,329,324,636,212,040,122,645,387,
940,299,690,109,155,391,607,631,473,659,910,647,168,616,135,206,177,235,593,
183,490,841,609,550,213,068,773,629,691,916,813,522,683,628,432,280,080,659,
056,138,896,512,880,142,923,114,445,483,369,439,909,661,543,221,501,694,643,
646,780,938,499,060,306,520,184,534,086,528,985,723,656,595,938,930,447,082,
274,716,216,818,773,174,806,389,605,552,566,268,702,443,731,824,486,180,586,
194,460,454,774,311,107,354,254,457,718,396,284,955,281,287,313,954,405,593,
871,887,160,224,295,877,564,663,699,030,822,095,796,613,626,510,438,030,154,
234,058,334,292,515,633,961,494,719,078,322,854,665,342,959,711,345,697,640,
402,113,566,483,154,078,762,693,728,679,643,338,863,064,167,179,513,818,619,
027,299,919,953,420,639,549,808,927,527,132,031,145,719,206,609,341,399,352,
874,034,143,320,127,945,145,970,591,172,355,714,984,531,581,070,508,974,091,
960,357,975,920,731,706,933,406,702,743,067,619,990,442,301,489,223,406,412,
439,475,678,123,504,552,659,292,819,277,353,197,522,820,189,694,562,748,003,
821,897,011,992,391,789,938,244,264,231,620,140,538,006,871,694,263,944,421,
643,058,388,664,171,090,366,629,418,116,406,329,733,169,566,553,271,394,842,
101,287,981,198,018,635,210,728,696,068,077,879,274,886,749,163,077,625,616,
132,697,926,051,772,413,712,584,143,306,357,806,598,205,282,746,398,919,378,
375,692,832,265,765,820,473,081,306,440,635,162,623,692,643,046,364,481,540,
546,668,601,524,944,554,875,134,720,133,598,428,394,687,989,651,120,652,668,
561,097,603,957,820,805,472,793,578,987,962,983,934,319,134,655,591,527,983,
167,922,335,449,688,320,672,567,359,120,896,277,102,388,009,432,137,622,192,
123,733,284,860,458,838,640,077,234,280,086,132,248,375,488,284,971,549,823,
004,512,379,817,675,286,545,521,896,496,085,117,534,273,325,885,686,032,878,
841,230,747,239,250,221,746,891,000,276,928,752,774,683,320,908,758,064,991,
652,068,063,764,248,260,863,206,313,169,159,763,301,069,594,158,150,458,315,
525,870,973,270,833,457,446,646,937,514,830,326,277,564,721,739,829,914,943,
171,087,623,552,651,486,312,940,772,753,277,243,426,436,531,817,593,869,026,
266,478,765,811,077,403,224,116,275,150,517,363,443,770,820,591,122,351,812,
616,739,521,008,371,565,989,189,110,862,966,701,588,961,180,739,628,041,999,
852,292,015,684,490,609,520,867,306,855,352,154,783,309,831,793,866,879,630,
248,982,568,338,184,452,545,309,563,549,837,979,496,206,162,633,453,773,853,
885,492,260,079,803,376,657,972,122,164,723,972,223,206,506,208,968,769,864,
841,391,624,885,994,401,324,911,063,841,087,346,753,088,390,904,113,307,656,
037,508,807,503,976,926,719,575,291,951,133,952,949,032,849,900,276,840,587,
637,255,222,436,953,960,532,716,122,548,993,785,685,754,511,461,989,465,937,
020,006,667,969,663,328,622,244,331,947,935,266,044,983,109,047,206,972,210,
431,721,248,822,817,953,505,542,222,223,686,703,890,625,483,713,780,780,506,
326,682,820,224,464,307,912,038,609,534,578,715,482,982,033,835,675,384,696,
821,941,833,141,818,486,628,978,031,732,123,956,309,171,314,271,685,464,503,
578,316,313,914,273,003,148,921,138,123,287,887,174,883,034,367,420,933,274,
047,863,135,405,499,613,460,980,500,438,403,737,663,079,436,465,113,157,200,
288,289,666,171,642,395,773,803,758,873,490,723,727,442,726,679,767,885,319,
815,422,687,441,849,540,430,389,863,257,874,694,051,641,154,031,246,800,484,
657,504,130,719,399,686,232,330,868,970,959,689,679,053,685,297,432,468,537,
779,347,773,030,086,727,163,487,583,672,196,786,061,826,936,887,180,887,658,
177,923,648,075,734,098,726,632,343,275,562,265,397,098,706,263,357,981,859,
245,029,792,776,008,340,148,690,418,152,591,488,396,087,170,581,552,440,343,
935,010,864,812,886,774,587,094,561,303,269,193,917,681,358,998,406,970,451,
773,728,847,389,153,113,781,858,582,189,808,387,305,059,473,284,948,652,412,
709,498,231,601,745,137,251,307,533,925,308,469,972,073,941,159,511,786,729,
536,034,481,428,674,153,274,062,537,281,379,922,259,566,063,712,104,056,392,
651,193,509,535,772,204,103,741,665,514,306,316,858,598,150,433,395,398,982,
322,458,943,472,891,573,194,553,878,108,029,599,304,219,307,638,501,009,859,
214,189,402,006,191,605,752,020,743,716,419,164,303,791,896,939,197,629,361,
287,211,474,060,180,545,634,140,284,521,318,071,527,132,801,436,822,811,385,
521,220,941,668,141,172,752,694,238,574,354,429,443,044,396,528,009,868,331,
530,334,150,399,632,602,345,222,477,969,070,517,186,615,838,860,505,682,821,
298,960,288,388,056,353,062,068,127,676,648,060,436,608,736,389,071,518,566,
517,861,589,914,101,221,968,313,810,713,948,662,960,405,472,409,503,541,890,
687,570,711,058,428,323,287,262,803,172,387,164,710,750,698,778,316,902,328,
366,148,305,356,651,694,167,747,924,994,023,689,101,533,039,571,451,614,905,
237,740,215,516,451,852,763,579,482,610,100,192,255,994,095,787,114,801,571,
992,033,547,412,520,630,999,695,323,651,651,166,991,471,386,154,234,416,051,
150,882,916,188,972,146,976,606,101,772,248,059,085,799,061,661,991,339,201,
904,537,475,874,419,041,415,180,781,945,173,073,637,160,357,140,905,456,673,
563,284,777,805,224,317,962,112,463,220,078,767,528,949,727,497,891,077,267,
693,811,264,304,600,813,068,047,081,573,801,741,433,358,798,510,535,450,185,
547,378,378,347,629,096,460,610,406,277,623,480,600,547,894,793,679,564,935,
329,361,631,844,134,020,493,799,566,322,699,918,992,896,018,408,956,447,415,
462,432,078,237,720,876,244,400,709,617,682,327,190,103,735,805,620,931,393,
531,759,524,387,979,368,068,901,978,029,544,200,611,501,185,576,825,304,646,
083,487,441,153,094,906,922,244,320,824,288,223,524,478,028,923,188,247,707,
068,146,960,202,156,340,509,926,203,841,425,711,873,622,446,960,231,519,570,
378,375,226,374,835,393,018,506,665,620,605,961,983,773,260,375,742,195,533,
611,912,673,133,608,836,014,384,477,556,919,904,411,176,786,222,847,084,887,
718,378,645,724,694,409,049,073,714,481,070,825,170,942,587,724,946,989,500,
838,410,559,588,305,037,488,352,560,585,348,871,376,995,689,536,018,083,428,
664,030,081,254,773,097,447,443,980,762,156,357,171,034,971,080,392,183,596,
970,844,433,533,625,895,129,919,354,265,289,110,390,837,745,928,908,469,932,
445,028,909,798,560,082,438,678,288,935,030,890,951,607,276,386,750,288,578,
099,433,318,659,172,613,882,637,289,075,692,853,803,249,241,281,136,705,622,
214,578,181,755,270,939,030,760,009,118,914,344,288,441,652,130,664,487,350,
615,861,718,429,840,696,874,315,521,711,464,593,139,381,440,354,824,948,829,
345,682,218,229,387,850,342,885,379,684,148,834,854,460,651,460,602,072,393,
384,310,958,779,815,223,994,562,957,601,553,075,758,989,747,245,547,510,055,
338,635,040,475,930,784,400,632,008,520,286,531,445,895,345,576,950,241,007,
306,699,271,808,493,097,924,793,187,785,180,683,825,127,626,122,344,776,311,
769,721,191,459,458,939,405,832,051,180,619,044,284,402,413,318,403,344,271,
526,351,929,539,727,414,395,330,723,610,779,982,660,170,873,956,310,314,489,
895,690,959,385,432,174,844,697,023,580,905,039,814,821,916,790,849,138,743,
779,344,270,927,146,037,557,616,167,563,688,577,921,789,680,684,394,640,484,
049,177,270,495,683,632,883,524,698,783,140,115,949,177,918,693,188,264,267,
652,890,764,598,560,321,179,408,431,248,833,174,213,462,149,861,116,988,740,
378,505,369,462,573,647,594,356,148,877,316,929,525,533,594,619,424,107,363,
106,221,430,148,665,052,656,734,172,936,072,937,848,562,277,771,709,668,985,
226,391,639,028,740,866,791,759,793,209,060,713,010,856,922,968,136,714,968,
416,477,704,441,908,817,043,381,587,297,418,107,965,731,256,711,441,283,925,
692,183,424,376,948,670,353,162,452,942,407,833,246,036,285,893,344,343,817,
969,373,237,737,297,920,812,773,763,487,429,328,362,090,062,028,790,564,620,
992,452,993,469,251,005,449,113,316,058,615,960,484,845,640,010,057,117,058,
503,988,619,739,766,767,268,892,315,885,081,077,918,699,511,255,431,850,273,
790,065,891,726,745,563,550,538,667,262,960,997,641,856,670,495,737,788,983,
328,113,585,704,688,884,648,888,507,049,617,595,237,442,494,181,180,321,772,
003,550,739,720,597,036,445,781,686,675,322,002,185,088,017,463,392,152,998,
857,245,188,016,107,336,852,120,349,339,795,126,235,872,161,453,782,152,597,
064,812,348,931,054,411,213,209,332,742,857,756,786,199,448,058,130,563,731,
168,947,823,920,678,691,583,735,703,314,566,514,420,162,291,796,534,200,243,
670,164,452,068,872,566,422,394,373,030,703,573,773,286,111,524,522,082,340,
524,926,030,303,206,306,592,136,270,293,043,217,322,663,221,215,451,838,337,
919,754,791,018,437,199,364,575,850,296,034,892,017,067,750,426,021,552,899,
875,721,046,528,410,394,795,151,924,185,765,747,972,668,856,597,616,346,900,
083,506,075,749,697,610,353,634,008,527,601,692,761,211,319,949,563,831,433,
544,584,557,312,349,384,038,367,427,732,793,845,576,148,228,222,560,537,186,
262,288,959,840,753,274,483,407,118,344,486,933,225,059,264,026,826,777,136,
709,501,167,154,746,468,359,987,172,098,655,576,996,924,279,094,157,551,040,
483,245,353,574,229,494,669,400,746,010,944,555,658,591,073,329,160,124,905,
140,858,749,998,582,784,229,974,546,753,773,813,888,265,309,662,525,571,936,
453,160,147,260,918,851,152,666,985,615,990,545,332,699,440,869,959,801,180,
984,785,959,381,705,839,945,553,108,982,362,633,297,864,372,264,326,502,253,
905,071,884,631,459,042,249,038,884,852,837,497,366,822,163,282,149,769,918,
523,217,434,288,279,742,753,812,906,846,172,265,073,712,635,341,714,759,222,
995,564,634,813,180,452,283,266,088,819,254,064,827,670,630,417,095,156,436,
700,274,253,910,541,001,681,173,848,602,809,163,089,458,728,850,215,405,955,
915,465,877,043,187,997,773,539,480,635,659,627,893,709,155,439,404,923,580,
093,980,813,792,762,204,815,634,592,674,399,266,875,333,335,350,805,802,875,
552,861,182,842,893,606,176,162,275,416,778,465,008,301,132,374,177,144,937,
069,606,661,274,688,999,353,126,444,274,409,501,833,036,263,148,180,540,454,
475,791,305,677,113,207,412,476,493,106,918,406,632,024,707,857,021,513,956,
511,335,902,698,306,908,235,674,816,789,828,789,828,717,369,356,732,152,893,
790,570,157,890,339,994,476,641,227,503,021,002,021,410,335,188,458,386,057,
655,400,996,441,789,698,595,574,522,050,186,460,846,577,951,872,774,297,327,
368,223,568,471,786,280,227,408,664,120,498,757,208,005,141,619,492,288,402,
394,151,182,046,808,255,963,996,679,693,896,257,786,846,857,597,444,714,742,
227,384,116,006,164,917,610,601,943,896,921,625,606,075,966,328,951,454,601,
729,235,166,031,287,712,134,628,879,704,835,234,127,064,591,722,574,920,407,
759,924,456,073,636,551,435,959,925,586,927,266,859,395,780,733,855,415,372,
083,638,776,781,286,859,195,896,321,462,275,974,594,952,598,595,823,843,433,
848,709,571,117,013,832,887,092,111,203,035,296,978,707,263,229,408,007,092,
029,624,449,179,476,887,965,728,052,687,087,901,161,466,897,313,229,064,210,
013,773,805,053,853,774,104,073,958,965,877,200,935,566,576,206,584,359,930,
251,348,238,803,986,202,947,413,356,080,815,874,964,260,690,750,182,404,680,
100,565,513,464,736,174,012,334,764,826,400,825,522,390,704,911,623,768,448,
892,171,367,892,036,874,351,744,180,439,463,312,313,489,114,074,243,201,127,
472,363,768,788,932,231,315,220,474,497,966,659,842,822,050,011,253,957,760,
409,152,276,199,070,500,748,522,722,573,773,394,818,765,176,616,692,249,819,
711,952,352,649,069,644,600,092,213,877,190,405,455,306,906,714,519,041,217,
274,328,122,214,920,758,328,834,280,700,870,627,294,854,953,729,796,056,790,
543,930,499,314,533,712,932,618,375,349,647,635,964,437,175,334,243,300,000,
486,482,483,611,923,510,667,079,184,914,308,358,104,123,651,874,634,485,027,
161,098,428,026,304,335,480,616,183,523,637,568,092,194,994,889,670,723,218,
902,087,086,887,329,879,592,052,777,874,118,811,698,381,603,736,643,796,888,
574,869,311,457,686,793,766,389,232,213,160,523,283,154,190,806,044,306,899,
369,519,406,684,832,347,213,346,539,060,216,490,124,969,862,338,910,434,021,
056,830,677,769,707,936,912,394,622,577,711,503,482,976,582,879,950,735,351,
465,224,486,746,230,798,803,663,243,758,967,862,557,272,364,455,101,505,283,
520,820,719,705,972,189,820,128,194,319,658,986,698,787,731,701,056,448,194,
484,317,345,673,092,514,129,481,898,829,345,160,566,101,742,601,561,473,648,
621,257,498,554,027,576,998,860,032,833,963,157,511,652,751,307,795,318,857,
485,134,419,194,190,453,830,598,372,115,605,951,236,238,637,101,334,009,206,
956,762,082,330,766,410,760,455,508,701,688,285,464,781,137,340,091,172,771,
721,999,803,162,307,662,648,517,835,974,654,828,051,150,088,358,692,165,506,
827,642,862,123,632,276,149,661,568,487,350,733,328,819,651,330,402,035,808,
296,228,724,346,286,366,524,595,703,327,398,166,048,463,171,105,538,872,875,
057,562,915,556,383,836,294,435,360,129,823,514,679,232,994,290,360,892,655,
840,450,527,969,279,469,386,349,413,066,826,837,897,352,262,174,052,662,370,
604,969,312,541,559,129,867,096,749,366,599,033,586,836,487,213,459,851,889,
792,270,182,930,167,185,607,254,824,721,805,846,031,270,403,913,204,458,169,
331,979,608,961,696,993,926,692,317,377,104,520,218,491,092,390,316,018,634,
391,313,489,724,035,467,974,159,167,228,359,345,620,388,447,822,518,194,230,
036,886,761,192,652,703,086,098,336,498,189,663,285,480,741,469,329,745,855,
452,342,090,766,411,097,994,904,586,737,000,309,293,885,432,785,454,388,432,
684,117,445,833,335,878,686,885,052,523,540,468,145,139,611,696,844,171,658,
499,936,498,307,902,007,495,683,840,609,172,892,544,549,608,615,515,937,055,
953,247,400,722,031,409,047,690,615,298,155,673,225,663,041,342,974,168,838,
580,827,631,966,743,307,081,599,181,494,167,949,182,199,195,152,466,237,767,
613,990,600,678,367,212,060,012,130,230,164,631,292,258,396,794,355,943,851,
838,464,235,560,288,321,655,709,376,023,445,054,646,233,162,117,537,391,901,
453,461,701,053,420,796,203,174,792,735,331,248,129,769,070,789,586,433,999,
980,507,893,906,932,863,758,607,942,966,553,582,319,711,888,138,541,835,166,
074,331,665,420,416,121,858,119,319,603,312,532,640,240,018,474,637,368,605,
065,413,354,162,001,127,996,687,558,141,657,772,204,679,593,795,271,728,107,
878,977,433,024,633,188,980,143,210,920,635,474,237,345,711,717,984,849,604,
512,334,179,868,072,583,022,758,923,958,809,823,493,384,023,498,041,687,570,
558,072,144,682,772,451,208,387,757,198,322,074,197,511,930,402,532,935,795,
463,464,189,256,126,235,955,906,745,466,555,177,837,846,925,765,945,553,365,
691,252,278,247,340,371,070,261,257,904,398,869,258,995,721,350,066,533,145,
211,600,922,116,453,399,942,821,635,021,900,542,403,072,952,070,367,100,622,
837,754,827,729,676,725,581,143,003,527,833,937,017,477,197,400,205,818,466,
710,430,890,831,292,203,351,702,393,150,554,795,756,253,749,259,641,931,245,
182,448,721,920,259,836,953,855,572,303,091,220,375,410,709,626,409,536,336,
194,143,072,724,263,785,339,513,953,576,117,028,444,492,865,736,062,898,936,
300,969,963,717,474,150,430,028,100,697,038,129,116,133,931,293,113,344,734,
076,809,828,267,071,596,146,098,222,910,935,263,574,856,792,242,032,262,491,
235,915,253,813,836,965,647,502,403,738,415,969,894,866,628,773,974,357,501,
483,957,894,162,848,042,210,562,107,562,717,582,534,859,727,711,657,203,874,
541,614,949,880,480,316,665,155,755,797,503,979,020,962,244,897,346,810,353,
121,676,831,186,596,196,315,359,558,032,393,692,813,488,587,915,982,496,627,
715,472,615,493,563,359,289,059,626,704,332,653,319,693,716,946,648,660,897,
165,684,331,938,896,681,126,780,392,521,629,522,804,209,177,482,162,796,374,
762,426,400,475,938,037,820,174,075,220,546,918,968,482,155,054,482,256,800,
546,581,690,834,977,791,473,781,335,721,097,649,873,829,585,235,616,022,375,
412,072,808,927,330,272,821,180,996,477,219,675,593,623,621,672,415,427,006,
734,016,213,401,669,979,970,493,628,457,821,475,877,496,640,423,234,893,622,
256,301,262,454,051,391,884,401,267,128,923,191,714,973,255,452,165,146,702,
768,231,197,927,171,701,066,245,958,946,400,544,248,313,818,275,752,323,791,
430,619,885,924,838,404,662,592,340,553,192,267,594,354,703,909,936,332,378,
613,558,447,146,668,834,424,185,106,004,965,576,931,833,110,286,089,591,254,
957,383,240,203,621,537,073,207,630,992,763,873,320,375,437,443,980,106,336,
587,679,532,676,644,745,960,121,003,403,945,312,187,668,547,668,535,237,436,
434,154,504,702,647,900,012,858,698,711,412,148,113,310,194,178,135,842,609,
411,281,658,605,771,710,068,293,222,318,585,704,368,153,408,148,353,818,668,
067,372,427,146,370,579,728,724,566,995,735,205,950,748,379,740,873,232,164,
511,284,488,264,371,741,124,800,852,910,026,106,792,946,970,686,623,464,355,
602,911,636,179,418,438,930,755,069,449,464,783,934,130,555,741,088,394,107,
502,202,991,225,013,010,759,979,996,646,518,271,565,655,968,743,331,544,540,
482,612,561,882,908,125,943,932,940,755,017,571,230,337,661,257,617,366,155,
614,460,307,985,386,135,545,382,970,375,115,900,101,979,620,741,869,204,659,
719,706,691,039,271,932,863,863,708,169,270,063,209,414,303,776,712,249,684,
580,767,866,217,721,781,149,092,678,740,556,065,003,780,331,958,520,426,557,
778,327,926,605,841,987,136,214,638,891,042,148,936,246,466,337,258,038,607,
840,636,069,848,218,371,071,222,432,639,206,123,870,811,439,196,656,207,826,
730,434,094,595,527,882,183,353,969,010,305,936,598,562,659,021,204,806,703,
919,050,215,765,960,905,899,581,183,904,094,390,864,297,620,850,972,877,432,
812,207,198,298,399,848,824,942,926,300,896,336,378,931,584,277,186,028,294,
404,066,761,178,356,664,959,810,922,396,865,896,658,746,324,457,504,800,744,
599,255,174,139,052,091,297,769,310,249,245,525,604,808,751,709,860,685,991,
715,487,545,841,070,362,335,781,417,568,945,077,655,447,877,258,968,044,569,
296,862,189,921,069,330,937,330,476,673,787,279,568,584,524,922,543,095,690,
940,784,562,718,273,947,290,072,488,884,563,847,201,758,939,034,478,404,137,
823,793,283,233,675,670,091,410,623,728,900,662,259,493,081,207,655,117,224,
691,091,389,798,028,919,164,852,865,687,787,598,456,171,885,288,359,352,731,
729,831,969,073,449,304,833,038,919,448,337,351,889,331,342,108,554,987,206,
019,765,180,668,595,093,839,807,845,000,847,372,581,419,980,800,071,643,284,
278,928,016,007,138,167,754,077,498,269,101,601,316,051,892,637,461,143,220,
757,312,713,851,321,361,505,386,621,868,835,264,104,784,738,717,582,862,597,
189,003,477,543,690,173,989,256,347,943,798,033,529,568,156,701,149,991,086,
352,666,012,300,203,778,897,913,166,593,504,634,306,213,897,154,208,605,180,
682,309,011,286,727,731,815,838,416,453,638,879,639,944,760,645,983,494,841,
938,523,396,140,803,593,705,076,135,548,549,823,663,618,919,846,453,035,428,
756,310,192,371,767,084,573,629,751,474,287,912,452,070,173,659,154,851,651,
393,265,907,386,864,455,761,936,496,868,043,331,135,167,670,026,956,016,334,
357,123,854,253,363,944,256,034,426,042,893,668,443,884,754,498,625,736,091,
699,969,631,505,902,589,387,099,738,289,031,852,715,389,566,910,915,081,579,
609,729,473,800,019,135,462,672,499,923,592,329,969,190,842,067,735,528,931,
288,115,950,033,725,047,302,101,393,392,080,250,962,386,002,381,557,079,270,
483,779,831,296,124,317,943,506,687,882,787,860,514,016,011,977,045,831,487,
034,509,270,171,895,713,902,819,671,407,074,728,385,200,046,895,137,040,184,
405,950,465,896,712,624,465,952,303,984,733,479,237,959,099,115,419,487,794,
095,103,566,412,024,192,208,103,587,930,361,294,756,097,932,106,392,300,848,
512,234,267,103,228,899,159,561,372,496,899,015,840,705,985,728,248,980,438,
003,351,389,697,974,343,333,704,385,015,412,009,790,080,106,621,968,292,416,
799,343,564,083,214,406,185,654,161,708,214,834,507,916,101,228,812,767,052,
822,254,695,487,609,227,608,628,958,295,966,150,127,647,052,181,757,633,769,
081,614,599,928,698,970,034,855,273,526,600,315,277,239,646,822,259,598,838,
630,390,430,097,977,046,730,793,024,993,256,888,612,769,359,297,261,755,365,
031,385,193,739,116,098,234,693,093,661,782,583,256,814,846,725,278,662,836,
192,911,689,916,097,348,515,511,243,226,455,792,137,452,515,958,805,006,812,
925,099,700,759,793,800,989,015,880,863,480,087,889,403,675,854,534,942,622,
142,866,619,601,782,687,525,009,315,992,554,913,892,435,328,975,122,678,800,
452,250,330,828,885,751,335,961,999,673,296,176,679,872,849,083,926,953,842,
130,511,086,495,319,444,282,794,816,947,302,377,290,184,100,337,021,222,257,
608,782,300,324,334,561,407,064,042,987,615,487,298,936,363,304,764,221,909,
662,479,837,067,170,771,628,478,119,658,550,491,489,892,954,014,691,062,556,
025,032,441,153,190,504,097,550,912,061,119,272,869,060,291,222,164,099,320,
254,370,134,388,551,556,177,284,332,848,519,617,641,512,019,407,136,205,232,
359,031,143,926,857,264,740,702,207,913,177,608,251,292,807,279,281,151,407,
374,852,127,411,341,503,192,378,497,218,665,272,725,488,374,805,745,120,367,
943,776,993,726,327,571,665,448,754,313,376,164,773,496,947,241,945,993,740,
181,062,029,962,329,571,362,971,009,244,464,763,286,225,542,478,135,272,503,
582,220,731,246,613,448,795,963,829,688,044,403,111,072,380,471,146,909,676,
792,253,876,949,091,250,114,437,104,323,837,037,626,696,222,857,775,092,805,
056,700,281,112,050,417,409,704,343,145,539,608,455,068,016,406,612,772,384,
056,526,790,795,887,522,950,853,685,027,556,847,770,417,761,798,903,175,088,
345,650,438,399,683,447,834,969,274,969,889,291,851,001,053,402,760,834,633,
619,447,154,127,523,458,751,994,100,638,567,705,117,494,876,566,850,712,278,
182,134,359,166,627,313,787,213,067,155,496,153,851,997,929,183,007,117,696,
717,051,462,033,427,218,994,300,893,078,056,809,151,944,071,143,094,303,536,
619,555,027,010,182,225,355,781,604,661,258,109,018,133,132,689,182,407,224,
085,662,857,592,173,689,500,559,540,917,705,368,099,205,812,298,802,721,201,
995,052,906,396,756,183,033,244,686,318,982,907,059,157,687,405,412,533,106,
946,045,357,231,118,107,515,491,199,348,566,002,353,936,076,966,937,961,099,
778,555,484,989,628,084,663,576,711,165,207,828,973,256,488,801,771,411,751,
385,807,787,218,996,878,670,189,635,956,940,468,172,971,457,382,792,808,224,
785,879,175,453,430,035,028,083,453,148,927,889,762,762,127,064,524,265,421,
605,715,072,628,120,839,244,941,982,062,605,331,747,844,931,533,619,560,409,
742,092,259,538,438,381,972,671,857,403,926,261,848,236,099,116,276,871,955,
473,347,648,126,506,918,986,147,299,218,947,311,688,764,232,759,422,430,553,
995,276,049,996,935,953,945,393,734,925,133,403,897,159,195,367,046,633,186,
136,820,837,547,906,291,492,471,567,621,989,916,340,037,302,606,068,229,419,
835,715,049,151,806,919,696,196,543,084,095,670,036,037,098,120,280,943,075,
221,446,700,278,567,623,075,559,789,703,534,725,542,163,776,113,825,607,178,
032,697,368,394,548,359,183,709,294,427,491,946,163,293,310,771,717,439,039,
539,334,500,910,245,232,823,381,681,504,658,499,404,303,470,889,418,635,507,
287,495,787,238,167,989,941,065,617,125,854,898,543,943,001,661,185,681,059,
083,278,365,026,668,957,548,564,292,279,484,397,907,601,138,170,383,513,574,
616,371,976,193,134,033,659,365,901,969,615,409,643,286,437,410,705,883,892,
017,927,116,821,082,401,719,587,892,930,492,280,924,271,866,729,139,822,236,
186,601,131,880,548,150,429,332,840,854,393,864,097,413,813,913,658,360,223,
990,360,123,202,694,622,055,787,802,554,491,235,178,473,056,104,840,729,177,
547,504,693,186,716,029,508,569,018,792,485,932,637,792,436,776,754,789,426,
645,519,956,440,546,802,422,795,899,848,265,950,458,826,147,849,908,733,606,
102,502,746,566,555,482,073,457,284,755,804,749,099,579,829,587,829,563,771,
632,736,652,434,781,416,961,131,477,781,921,283,613,352,104,747,923,450,965,
983,598,767,326,383,759,557,376,464,939,133,117,230,725,574,565,714,520,968,
507,614,437,645,936,015,801,002,115,710,419,837,803,691,497,431,253,712,048,
962,885,630,731,448,120,256,388,729,825,937,421,910,620,269,542,087,897,067,
685,455,296,385,119,189,584,746,786,217,520,454,018,131,217,964,005,703,270,
275,299,435,151,423,599,723,769,932,433,466,403,202,972,678,018,039,299,566,
740,656,251,743,025,058,843,973,025,188,940,625,289,746,672,637,109,740,999,
477,113,403,281,734,560,213,312,467,627,756,665,748,280,926,689,654,086,409,
332,097,730,513,384,902,132,601,533,728,602,458,672,591,733,235,899,625,272,
694,879,968,251,589,418,668,982,678,400,949,894,848,177,063,633,716,124,340,
615,381,341,185,348,259,376,395,768,060,443,734,075,483,283,145,967,141,556,
980,419,984,603,264,042,476,111,209,608,544,021,430,657,198,286,561,720,292,
222,077,021,828,396,760,069,525,643,192,333,613,308,323,155,852,872,508,381,
219,825,507,556,861,391,246,960,623,124,581,137,775,253,424,892,055,396,232,
780,082,306,175,140,505,523,059,554,033,265,939,208,402,249,931,282,631,321,
232,173,935,326,115,743,664,552,504,861,898,551,366,942,218,841,908,498,163,
019,104,528,608,961,051,767,927,561,568,972,994,514,905,679,471,191,148,843,
707,896,195,730,350,125,791,386,818,242,804,435,222,206,801,451,867,420,419,
317,821,269,632,971,506,723,238,936,698,027,039,111,597,722,831,275,775,751,
789,432,125,534,623,041,959,017,077,965,279,153,740,450,702,656,497,569,867,
439,642,352,123,350,220,921,765,398,502,873,500,191,656,555,448,234,752,003,
178,306,080,262,903,150,971,571,614,135,124,047,269,586,483,440,203,542,799,
585,074,324,681,417,894,265,723,975,499,131,997,921,720,466,398,849,927,963,
238,280,051,722,690,039,893,048,308,713,408,390,237,167,561,369,367,141,041,
324,667,965,693,783,843,727,833,982,400,300,665,999,011,713,529,360,132,466,
875,999,856,448,695,680,901,075,714,981,494,519,565,044,626,988,364,320,598,
712,482,255,853,140,001,066,090,164,943,536,955,447,754,626,348,095,121,452,
088,343,492,362,519,176,526,199,461,923,526,954,900,904,958,796,802,012,135,
676,670,778,162,774,443,246,569,686,717,400,380,991,659,817,505,322,083,981,
140,404,353,540,026,594,679,621,669,107,411,205,063,745,470,282,187,929,121,
006,734,876,860,075,566,336,009,626,945,205,204,388,747,894,510,550,529,944,
226,590,607,997,953,645,776,898,095,984,034,596,897,779,055,293,871,366,789,
066,697,842,196,364,655,441,162,833,467,448,893,676,316,490,064,711,048,010,
763,796,557,170,078,851,222,947,666,226,401,319,415,852,890,634,232,505,850,
136,031,904,596,232,323,702,185,632,923,193,140,206,489,235,724,194,553,959,
433,926,766,299,627,850,554,591,697,107,547,997,678,975,807,116,979,095,124,
270,483,038,597,744,592,977,830,137,258,607,843,784,177,595,987,372,325,471,
708,303,392,538,280,173,604,253,868,919,737,838,884,974,705,586,676,864,671,
815,456,433,512,145,936,979,634,652,958,782,067,807,516,834,436,650,945,768,
319,125,946,598,733,121,204,865,973,992,952,850,712,848,833,971,931,612,558,
968,524,221,377,807,144,034,688,346,099,069,691,313,676,470,198,110,760,538,
283,561,237,853,481,706,598,286,660,291,147,031,563,912,602,963,516,216,840,
375,078,752,348,038,675,040,563,846,139,533,437,721,172,931,567,699,730,527,
764,421,879,143,330,923,392,743,185,048,770,252,003,575,293,039,097,024,370,
817,965,490,152,525,338,102,711,073,639,016,576,623,007,082,619,689,437,927,
750,050,860,551,913,549,595,326,771,345,302,635,765,388,285,677,683,124,909,
021,973,470,617,386,572,362,533,688,564,954,916,232,189,507,748,928,103,797,
484,334,967,385,936,161,556,307,972,049,911,706,376,118,694,942,402,996,411,
292,079,892,891,022,147,506,560,518,437,854,336,872,758,158,598,517,163,492,
732,636,861,548,323,668,665,387,519,838,239,075,017,210,400,860,138,553,196,
654,108,658,244,951,773,498,948,390,058,303,860,892,878,151,640,747,954,268,
386,334,974,658,763,929,727,222,151,946,802,104,237,158,915,153,962,426,998,
088,791,099,924,183,944,455,252,351,097,248,892,565,107,735,118,833,953,866,
941,406,675,222,078,584,541,967,808,977,803,867,186,735,548,033,322,913,867,
496,604,041,862,815,801,050,217,265,320,467,231,924,830,153,505,381,743,088,
344,716,885,798,120,994,190,363,109,865,950,985,310,816,754,125,193,440,141,
850,834,882,575,539,578,326,192,846,767,892,358,684,779,721,697,337,210,627,
006,544,645,549,375,238,752,195,927,725,210,162,663,785,321,808,195,944,045,
297,879,799,152,231,643,659,440,014,409,165,500,927,183,973,419,308,081,198,
607,892,408,587,125,406,625,022,042,524,978,119,523,657,524,015,293,301,400,
815,193,347,078,741,867,204,355,336,912,734,145,554,397,412,267,669,352,373,
163,990,439,940,745,133,203,114,594,976,321,943,504,515,268,085,124,520,576,
750,615,100,731,420,153,080,678,399,975,123,725,565,748,121,060,609,504,996,
342,982,192,199,279,037,015,870,878,026,368,722,473,912,403,601,152,813,269,
130,420,337,413,560,653,867,957,329,150,265,170,221,958,690,474,640,798,351,
518,438,923,655,019,300,256,111,203,939,921,109,586,115,794,098,874,561,837,
468,718,605,962,088,192,108,004,724,172,559,218,920,182,181,064,456,506,360,
932,903,671,817,707,868,534,858,508,075,922,738,638,706,805,789,678,669,671,
312,180,783,338,863,290,364,614,978,447,791,517,449,739,212,134,414,996,084,
794,169,405,100,891,030,539,502,063,641,321,631,544,625,751,546,701,494,739,
365,612,429,438,807,787,872,464,204,371,547,189,824,098,396,945,260,661,171,
430,553,126,685,430,922,735,499,555,044,600,342,192,083,940,500,989,287,239,
904,462,190,847,163,838,268,544,534,175,892,917,535,812,731,325,537,699,231,
879,907,781,787,602,517,461,226,326,169,948,395,797,991,999,650,513,445,457,
645,412,187,191,540,226,325,923,079,680,212,284,505,328,487,699,929,746,837,
723,149,194,143,314,637,001,589,233,856,411,212,908,970,538,865,954,900,104,
670,347,548,455,221,141,790,181,477,697,646,779,236,735,520,692,207,355,361,
124,942,014,157,193,221,082,091,109,098,456,045,029,824,049,508,832,572,193,
477,160,048,753,605,088,368,447,524,131,857,904,339,949,501,078,149,110,565,
980,145,781,266,935,315,068,080,633,364,751,114,855,082,031,618,035,367,877,
859,765,163,752,616,872,317,829,930,735,295,293,180,172,695,868,609,225,940,
309,140,980,605,056,638,933,896,333,983,481,247,519,431,521,131,715,518,705,
640,911,177,064,259,508,237,533,363,624,598,634,492,321,937,036,517,637,905,
018,301,253,335,549,472,933,975,054,780,938,620,676,431,949,431,504,711,118,
369,487,724,000,664,399,240,578,515,634,544,937,800,403,888,935,550,718,431,
474,524,177,639,395,514,035,009,000,969,243,812,674,464,693,805,980,173,902,
412,987,365,942,842,624,980,944,532,583,380,081,524,007,066,884,140,701,024,
712,787,386,382,783,050,084,773,435,101,333,421,793,765,068,536,977,105,423,
184,558,022,174,787,059,017,331,803,973,968,155,504,019,425,975,735,584,497,
640,176,333,585,130,380,610,699,253,271,274,230,926,632,824,195,214,275,537,
974,010,642,062,198,351,944,703,904,155,964,531,087,783,965,123,750,312,938,
221,752,450,019,716,333,718,015,995,594,328,846,365,987,419,446,568,025,146,
734,647,718,133,707,542,686,096,309,055,709,540,241,556,949,901,706,170,471,
971,688,934,736,232,500,880,828,190,429,507,769,054,479,065,168,087,920,892,
691,642,163,159,383,031,161,874,480,009,793,953,847,388,237,745,054,591,494,
789,298,974,623,246,511,555,925,030,293,693,124,480,932,916,584,807,995,477,
927,834,333,444,431,918,530,866,742,825,754,159,320,395,443,793,767,328,592,
427,427,508,333,714,693,653,257,002,486,546,264,677,061,976,573,019,738,515,
610,711,900,974,076,724,571,193,049,988,898,937,401,904,440,346,882,288,599,
596,862,633,647,063,891,136,097,339,411,099,089,052,385,508,151,387,666,809,
475,942,669,040,288,945,719,132,640,669,321,710,890,632,560,644,218,002,216,
211,052,744,592,180,316,049,877,942,450,410,107,758,868,062,275,657,955,782,
325,889,129,557,302,659,906,957,610,289,527,426,791,978,490,782,556,475,511,
072,575,128,647,043,083,079,599,760,289,470,678,943,736,823,129,424,247,778,
333,631,808,143,569,455,990,210,381,929,709,634,398,255,317,710,464,093,363,
840,319,514,408,673,101,034,528,592,971,125,021,199,056,930,287,167,737,131,
012,244,614,214,166,307,701,919,666,625,152,325,551,617,121,824,866,157,633,
630,235,158,643,442,442,697,074,372,189,723,188,578,179,034,995,666,951,284,
323,625,408,365,682,638,604,015,499,223,921,284,243,694,943,709,951,872,812,
480,441,445,020,863,576,255,839,677,449,590,902,574,487,047,963,919,695,265,
481,509,953,624,278,145,814,005,844,966,722,141,152,637,882,544,728,800,475,
580,100,549,605,846,100,169,352,553,547,326,567,326,039,886,377,105,258,604,
111,926,940,148,276,342,445,055,783,051,202,286,531,062,327,989,663,746,333,
374,573,011,488,966,322,711,059,486,455,439,285,057,169,606,607,839,447,562,
311,842,248,238,725,381,214,051,144,868,467,808,536,259,669,858,127,836,306,
263,905,358,000,679,809,302,971,577,729,027,430,503,481,650,688,188,818,011,
064,969,672,266,885,554,245,069,548,392,398,294,224,486,395,603,160,376,110,
155,432,463,802,165,864,439,834,575,813,934,150,591,811,807,075,668,680,968,
193,529,455,190,375,223,531,348,018,730,690,905,559,254,577,217,796,371,956,
950,389,956,149,532,913,385,948,288,842,027,058,664,113,675,569,769,897,255,
988,527,203,656,948,505,377,254,880,014,536,257,860,466,767,330,526,348,545,
138,228,729,176,210,394,334,385,193,800,402,343,296,843,435,453,308,957,902,
367,340,099,230,453,614,278,991,206,780,584,251,404,834,804,524,337,349,237,
971,035,629,965,072,532,068,465,868,046,690,362,387,887,770,586,662,873,648,
064,594,133,152,360,810,156,859,611,865,928,968,864,299,188,588,724,316,573,
766,547,584,413,438,024,105,684,171,524,409,483,783,212,254,950,693,543,149,
242,896,938,020,313,979,042,169,150,801,137,638,800,187,589,534,977,653,604,
957,334,989,149,901,979,803,215,319,680,029,882,688,307,233,530,522,058,322,
561,671,341,815,821,222,790,685,213,263,379,219,636,298,158,337,669,591,764,
554,030,515,119,268,719,174,458,948,221,374,976,780,192,568,454,700,619,702,
824,265,962,291,543,356,078,026,444,297,753,668,332,068,648,849,789,794,624,
361,926,284,311,788,713,263,457,408,615,619,636,979,265,138,034,673,027,914,
735,359,977,784,854,161,935,558,715,297,045,022,897,547,344,758,711,867,641,
676,620,211,412,549,771,101,093,292,923,174,164,597,908,121,039,823,923,831,
159,846,196,100,699,323,527,457,927,328,383,825,517,217,492,131,685,217,649,
199,681,837,556,756,640,791,381,155,163,542,105,524,488,656,122,524,392,659,
577,844,778,633,586,672,331,759,349,797,244,181,185,864,384,145,505,009,502,
780,272,458,028,613,929,033,021,331,638,876,542,854,702,774,748,545,369,570,
432,663,427,231,601,290,515,313,293,488,806,831,306,554,256,520,538,509,404,
779,828,833,336,721,915,272,183,133,767,905,190,786,168,634,383,554,725,818,
371,101,080,562,593,039,326,647,272,562,332,003,811,938,425,455,200,974,498,
301,568,974,453,951,971,698,711,211,710,120,320,919,090,938,434,987,161,178,
636,149,463,706,990,228,199,844,483,012,189,003,533,460,635,220,155,404,773,
186,782,074,436,554,998,593,071,505,033,619,530,474,311,936,881,596,565,764,
885,992,640,989,937,020,152,917,514,892,159,377,428,607,243,047,329,502,688,
427,637,691,211,576,885,379,188,213,096,439,931,696,994,579,408,031,422,730,
251,241,776,904,989,810,475,982,626,758,994,778,141,940,262,656,387,945,190,
053,537,934,789,494,599,432,682,466,572,224,856,728,172,372,212,642,396,109,
867,272,257,855,616,521,502,698,456,190,614,064,431,730,110,721,520,639,783,
051,718,208,322,811,582,452,740,970,806,221,904,743,123,443,737,522,216,495,
587,753,380,149,205,866,214,053,481,750,991,067,616,607,494,332,839,578,919,
676,309,276,885,967,753,613,002,399,553,679,471,014,978,719,200,502,114,263,
701,696,260,978,961,066,360,412,757,490,931,517,509,340,630,811,042,747,968,
429,481,753,763,462,465,561,772,939,173,670,052,260,976,343,667,295,134,719,
890,237,591,612,431,066,297,821,003,441,885,949,028,315,944,097,419,748,616,
810,010,572,685,364,731,351,788,667,250,097,052,288,449,836,104,698,639,411,
102,413,139,889,901,891,558,037,876,088,309,213,182,793,394,148,505,820,053,
455,068,197,413,751,779,472,584,194,581,256,019,994,244,411,948,273,494,160,
655,135,464,830,695,221,766,481,112,784,964,157,848,101,536,482,469,550,140,
880,964,753,797,734,762,037,143,683,555,111,972,689,103,189,114,653,361,943,
156,083,964,666,445,094,155,380,565,236,526,461,420,928,484,246,258,202,585,
106,475,074,101,039,661,155,635,853,477,547,461,454,683,638,484,493,282,656,
644,692,776,346,463,194,988,071,900,405,872,468,762,682,076,648,862,591,074,
682,118,039,656,760,881,850,561,475,425,163,601,929,217,317,964,029,457,370,
814,371,828,773,165,339,529,415,360,526,756,449,355,126,654,968,957,281,239,
348,600,722,956,190,372,536,233,945,042,497,602,219,274,044,972,891,414,184,
810,686,655,396,327,777,458,253,867,387,519,864,309,123,725,053,124,942,182,
908,216,874,140,435,045,893,443,994,908,603,741,109,486,752,419,674,054,185,
514,950,571,459,794,842,346,301,917,344,899,997,472,652,692,778,241,541,413,
064,599,779,926,195,562,805,491,669,955,947,857,515,173,127,956,148,391,400,
864,962,473,164,836,824,082,807,111,351,818,983,471,761,556,479,440,522,573,
201,787,058,870,120,614,905,839,269,212,021,996,379,069,842,065,627,513,566,
864,495,464,421,551,265,612,695,908,972,789,632,949,060,021,752,453,870,321,
875,744,569,156,044,000,204,037,424,133,798,863,551,713,937,720,048,454,783,
672,399,610,762,232,012,166,376,245,281,973,248,356,173,107,017,503,720,531,
773,379,298,442,819,334,114,621,784,964,680,952,934,028,222,517,597,507,987,
905,111,803,409,696,199,758,656,425,844,135,753,285,289,905,989,372,450,143,
367,017,217,494,716,149,427,629,763,772,007,819,644,665,440,875,802,963,921,
003,254,734,237,044,076,783,753,898,269,849,665,589,830,589,857,531,834,205,
384,966,768,510,090,340,999,233,915,042,752,406,265,337,417,846,149,876,015,
426,900,306,302,818,276,268,411,269,168,885,480,671,502,428,953,169,601,479,
796,489,236,247,922,902,017,765,041,039,925,005,678,548,742,778,178,673,976,
042,283,024,873,903,398,637,752,295,771,678,228,677,087,696,147,250,613,429,
090,117,538,417,983,989,475,144,407,897,672,642,014,070,498,435,760,502,903,
065,616,248,099,338,903,435,360,604,303,639,045,880,966,697,792,723,695,639,
553,751,342,578,953,795,091,069,372,851,296,662,779,545,236,268,486,681,623,
520,043,798,928,461,190,099,466,973,230,029,757,209,547,115,753,607,031,675,
679,997,187,087,859,643,536,044,245,385,349,363,575,281,919,534,607,789,961,
754,080,529,188,000,304,663,182,683,405,721,347,935,526,580,331,124,822,489,
494,304,951,514,775,427,734,642,215,679,634,019,483,824,641,182,611,256,003,
845,027,826,795,994,168,703,278,685,579,381,437,453,393,027,082,909,525,590,
449,923,127,299,063,457,888,809,716,947,622,042,604,081,404,954,883,744,309,
570,750,933,017,842,335,077,534,662,128,109,931,931,769,960,198,864,447,939,
039,302,242,435,300,355,160,602,114,543,761,410,774,530,704,235,176,563,183,
180,430,393,330,681,389,128,573,465,549,618,878,058,042,614,823,816,052,514,
321,218,037,366,085,641,957,095,189,322,385,546,023,451,073,138,595,345,438,
658,289,400,863,879,266,270,073,450,241,512,263,281,924,847,163,564,928,631,
788,115,994,875,201,737,897,511,923,582,257,495,069,878,311,221,804,314,853,
700,866,945,310,405,265,175,390,104,621,710,922,499,334,923,013,553,794,757,
643,938,217,439,791,308,248,153,704,953,660,668,672,263,121,032,258,120,548,
525,279,042,542,507,177,521,654,116,208,716,374,456,853,356,908,435,253,081,
867,423,716,391,149,067,550,774,972,176,841,062,818,994,792,784,287,197,124,
703,251,487,310,644,531,015,496,275,263,963,748,799,637,173,728,387,697,938,
033,854,574,863,383,674,953,428,087,692,279,005,799,701,433,914,443,177,546,
664,092,613,592,567,854,722,412,552,036,225,455,244,135,174,829,617,306,060,
721,013,062,427,110,465,386,472,004,233,861,679,833,521,870,539,744,120,053,
753,221,467,268,950,884,800,406,270,552,157,323,971,531,952,418,322,758,852,
203,969,321,649,961,123,957,831,391,242,417,418,484,094,152,419,577,760,243,
796,193,322,500,460,615,790,016,708,979,317,679,864,794,352,222,433,669,833,
002,268,042,718,178,991,321,179,800,280,415,652,542,903,455,577,685,997,663,
645,186,080,167,631,564,374,232,015,226,381,718,758,651,266,290,829,938,591,
865,217,416,556,459,726,824,140,342,763,990,899,120,570,124,430,184,768,970,
367,025,212,841,239,565,735,377,384,235,628,506,326,561,774,079,995,143,894,
170,488,837,189,243,839,174,301,189,171,972,714,615,807,818,359,636,326,960,
213,808,580,410,719,564,359,985,985,667,090,892,648,217,088,937,474,708,036,
951,142,173,107,397,610,647,656,033,288,855,729,245,940,963,241,271,890,782,
359,077,307,408,822,874,217,426,859,478,296,721,486,103,395,578,810,827,058,
559,404,714,054,735,739,299,022,233,199,506,501,170,925,254,182,853,416,831,
944,803,125,232,430,905,791,228,157,701,127,626,646,726,227,643,213,850,576,
835,191,949,378,381,487,387,936,703,929,898,779,365,683,292,504,176,790,935,
516,196,499,247,621,718,896,575,255,751,617,769,472,697,212,276,728,352,308,
935,956,231,022,189,815,448,206,603,912,629,418,023,750,134,776,931,624,417,
676,493,487,889,911,876,417,370,536,330,604,211,965,236,972,765,554,538,787,
864,293,118,566,045,121,371,874,318,810,771,080,548,955,102,149,711,637,013,
482,554,449,392,533,664,656,100,867,045,547,933,422,374,673,200,638,833,424,
756,768,195,915,429,375,104,535,576,680,521,190,687,552,455,340,149,595,890,
475,483,473,124,096,832,226,987,277,201,125,025,995,036,352,527,076,076,679,
834,412,059,975,011,598,841,457,002,858,564,658,379,862,396,205,464,675,531,
806,433,140,228,814,956,174,656,208,118,406,396,043,038,922,538,645,163,675,
175,609,031,641,094,011,420,368,704,656,103,931,695,341,147,277,761,024,255,
929,223,646,384,187,877,538,630,492,804,209,672,489,248,889,982,490,048,756,
431,721,767,535,156,002,164,662,351,849,871,044,977,268,885,419,215,204,425,
953,797,237,593,370,204,858,205,586,402,656,848,998,532,978,665,833,588,509,
333,878,651,553,200,819,237,737,186,230,423,585,887,464,518,878,845,012,993,
318,009,472,352,208,308,706,989,358,863,794,880,052,429,047,119,370,899,471,
362,439,625,706,911,345,570,700,276,802,624,634,413,603,589,208,582,571,373,
757,247,289,628,400,773,874,028,385,679,828,133,370,368,223,416,870,437,309,
815,709,814,573,694,346,142,134,157,412,061,807,674,654,719,801,891,526,221,
616,113,011,849,880,901,069,592,098,598,071,453,674,940,961,334,640,366,315,
674,337,453,413,490,945,601,982,097,885,224,341,039,014,148,654,343,126,186,
379,358,353,618,460,703,115,003,186,787,828,991,807,242,173,317,886,684,643,
974,750,273,415,460,001,648,427,425,882,306,765,261,812,199,844,665,776,688,
112,070,179,155,596,585,276,519,412,496,003,252,233,323,339,304,352,373,583,
597,877,575,887,936,282,374,766,844,266,579,702,442,872,692,644,388,318,929,
041,509,978,433,686,670,251,935,198,021,779,833,262,699,431,350,023,968,714,
103,841,654,527,891,100,501,197,252,457,543,290,481,430,375,731,216,474,892,
245,194,580,490,078,413,344,280,917,277,557,111,672,178,357,873,412,093,111,
109,047,196,631,189,367,049,044,266,000,693,972,530,739,480,280,174,929,808,
213,621,932,056,909,536,895,262,814,939,015,156,360,022,527,518,776,407,702,
730,412,227,289,459,496,840,190,723,859,054,612,542,938,035,971,897,557,831,
534,012,576,276,975,900,233,720,476,775,737,818,918,583,284,692,274,002,691,
579,328,161,907,534,014,352,619,982,458,803,217,615,616,410,876,345,906,392,
415,282,911,095,041,478,830,851,666,234,441,186,831,880,289,684,594,864,404,
203,184,463,700,845,786,817,096,892,195,199,326,705,212,933,984,161,119,208,
044,220,059,709,181,735,845,819,928,324,517,652,108,164,987,237,965,112,324,
710,789,056,661,006,145,319,881,915,587,213,297,264,820,374,997,607,662,942,
873,604,116,514,688,786,896,104,003,107,091,992,326,603,110,598,680,658,661,
238,057,125,025,165,555,305,492,957,025,386,042,968,503,060,523,082,184,233,
138,321,803,623,129,135,187,625,504,228,115,324,340,994,698,162,965,527,739,
645,397,679,447,109,311,799,253,845,109,818,613,294,445,425,291,527,294,825,
466,095,213,128,856,705,262,060,380,637,512,919,453,769,472,677,312,493,061,
628,356,315,979,114,722,763,323,000,530,677,642,716,025,287,080,463,401,175,
701,030,827,123,937,039,450,220,572,383,428,989,973,055,442,853,290,576,542,
209,539,550,412,351,490,487,221,242,718,462,186,290,606,755,640,952,191,951,
519,717,961,900,884,380,013,354,493,356,398,781,515,991,672,742,415,117,878,
254,718,748,371,342,555,713,797,653,354,609,681,421,419,746,865,179,449,609,
110,211,956,285,538,818,466,821,855,771,805,403,669,141,448,409,332,086,626,
880,629,277,770,130,924,939,038,894,142,533,469,872,881,057,748,192,131,383,
913,202,665,628,383,370,765,616,864,041,903,128,499,765,970,959,221,048,415,
808,177,530,461,564,524,058,280,985,125,241,671,595,404,018,222,109,426,525,
365,345,650,469,121,768,652,471,414,475,291,964,818,061,122,107,913,346,170,
033,944,645,375,614,028,414,440,347,902,869,237,511,010,354,814,305,247,766,
153,989,579,120,114,091,035,166,830,980,653,106,529,742,693,079,202,509,044,
597,597,906,091,572,260,938,559,642,523,905,345,756,966,875,100,870,685,423,
273,360,159,408,651,918,444,309,576,744,747,893,896,225,309,969,733,965,532,
665,911,828,247,590,763,268,144,147,787,878,730,133,785,476,356,094,079,690,
273,009,586,981,839,305,017,085,212,176,869,588,430,278,794,191,643,419,423,
545,397,390,564,376,947,682,369,795,205,313,891,506,841,023,796,924,496,655,
978,874,765,964,880,189,563,913,223,567,237,724,162,909,053,591,828,458,118,
818,013,474,746,473,003,708,210,210,134,615,675,076,618,569,979,800,568,695,
624,575,142,953,116,148,865,577,509,795,897,231,139,572,329,229,614,014,937,
585,997,411,838,561,561,300,860,121,106,712,380,759,981,839,711,771,543,826,
177,801,373,326,341,536,999,776,428,124,001,396,924,232,298,866,591,158,358,
205,770,945,446,087,216,857,860,795,642,139,482,219,158,345,662,957,754,689,
724,072,723,674,347,216,294,892,626,536,024,540,126,057,229,138,807,751,400,
776,633,834,176,505,998,036,823,639,963,049,689,959,072,070,513,926,226,183,
209,784,669,534,231,926,918,265,943,315,767,279,389,876,985,931,873,187,013,
872,395,384,838,972,763,490,120,612,390,814,345,134,363,975,871,986,946,411,
627,570,907,588,322,823,947,784,128,026,372,670,496,906,634,027,349,365,171,
758,977,344,450,431,225,818,571,577,210,000,952,180,994,092,343,285,136,044,
373,539,051,659,811,476,879,629,705,483,277,491,298,863,766,275,074,385,085,
867,236,068,780,868,556,801,758,768,075,567,798,404,174,193,069,890,479,026,
973,314,419,141,949,588,707,368,486,942,948,025,015,044,311,343,299,963,749,
120,511,086,504,831,203,715,137,547,072,092,110,965,822,420,907,282,006,772,
408,564,042,875,828,075,928,427,097,574,392,885,381,869,425,961,757,726,902,
916,307,048,973,238,307,416,661,435,322,000,039,023,896,430,847,465,226,714,
076,766,643,071,134,181,818,375,800,672,832,961,875,627,242,717,269,952,594,
272,546,688,588,233,005,950,929,022,161,463,471,472,774,153,373,678,429,245,
290,746,193,317,866,117,049,350,674,231,085,787,619,980,927,292,652,199,356,
180,494,580,924,013,230,237,573,200,778,787,300,013,969,613,780,283,139,787,
370,088,822,837,851,997,727,731,254,909,944,177,580,671,353,638,034,493,031,
327,268,848,748,421,847,340,842,881,667,294,526,340,879,686,439,274,180,949,
526,537,791,618,802,625,000,924,287,868,976,828,686,403,423,577,568,036,401,
902,311,425,104,416,930,809,715,530,169,356,314,901,100,671,493,232,663,349,
024,040,035,195,943,704,456,945,835,490,326,923,169,217,351,331,859,977,932,
632,337,319,896,195,291,457,304,642,862,725,858,695,802,017,495,366,609,431,
522,020,249,967,438,679,680,086,712,502,529,888,096,773,811,737,770,463,289,
216,213,151,312,886,125,783,479,909,714,283,818,123,777,012,718,516,604,111,
242,091,041,387,019,819,951,034,038,348,835,798,199,677,898,906,809,047,744,
918,534,152,058,899,303,692,072,911,409,945,885,446,933,350,403,841,001,659,
569,996,716,382,024,133,513,769,109,999,508,320,926,970,164,368,345,322,888,
209,477,619,299,699,107,201,993,527,446,405,266,049,478,785,742,981,074,349,
351,516,945,865,590,252,183,126,661,059,008,566,489,899,058,582,017,476,121,
311,743,405,033,131,771,639,291,575,803,907,563,072,040,596,088,644,518,900,
750,352,044,834,945,428,404,343,373,549,684,181,437,933,591,229,601,702,398,
321,434,393,952,441,770,336,838,928,635,739,805,657,858,545,179,814,153,931,
512,290,509,132,843,958,747,497,928,723,359,345,600,795,206,511,400,822,914,
794,301,149,417,709,076,956,812,089,824,463,562,603,163,010,427,819,806,036,
747,453,322,049,982,003,582,648,678,729,986,543,544,734,381,589,534,106,785,
988,843,618,070,946,908,152,104,770,524,388,200,908,933,402,512,177,277,474,
113,007,189,553,248,315,304,438,643,448,910,081,923,967,506,508,480,926,206,
073,340,285,800,859,040,256,857,153,650,359,546,509,988,530,369,497,027,796,
882,198,516,938,461,740,277,766,110,611,845,417,507,151,963,565,665,687,069,
916,247,785,982,582,192,916,925,490,123,491,521,974,217,542,192,740,563,890,
189,028,362,185,037,072,162,105,589,557,068,779,944,945,664,371,685,538,113,
657,909,797,786,631,240,525,232,991,117,012,537,738,838,114,374,264,645,590,
140,488,485,471,325,260,235,167,950,315,656,621,256,713,501,370,054,697,283,
064,932,224,262,905,372,643,133,509,944,761,473,230,432,403,962,725,095,598,
474,579,768,150,310,867,252,594,871,183,867,563,305,985,971,405,737,873,768,
912,426,675,428,233,795,945,826,488,836,326,677,280,584,607,614,789,216,779,
468,446,153,362,401,603,208,319,293,083,813,950,512,255,676,739,535,349,552,
427,793,135,822,502,179,037,945,576,425,787,748,327,172,670,937,831,305,490,
961,866,190,571,125,497,519,473,199,804,698,579,363,049,854,756,961,298,869,
945,431,950,242,492,922,172,482,839,567,352,435,882,888,058,022,958,000,685,
735,587,704,491,402,179,682,554,353,932,571,636,071,955,678,744,829,639,244,
763,308,369,541,851,126,700,932,657,952,664,987,254,656,647,467,071,781,025,
542,721,106,686,367,940,320,992,886,172,508,182,057,216,078,587,244,277,863,
363,920,434,211,433,677,598,860,311,161,059,942,741,900,930,957,615,605,788,
682,256,548,527,288,306,748,935,099,227,663,550,967,804,604,772,940,569,799,
074,261,482,180,910,133,399,224,094,621,612,279,301,230,575,405,115,405,060,
266,953,074,794,999,651,422,791,252,604,889,764,194,303,561,693,649,720,413,
715,896,067,682,803,976,445,077,423,625,410,083,765,646,057,676,733,499,914,
404,422,939,715,354,072,929,250,261,774,353,529,542,153,437,507,125,785,252,
883,554,708,637,365,539,070,101,763,336,434,805,529,237,191,736,899,353,466,
047,466,370,040,105,377,430,904,973,816,901,512,942,058,337,701,811,333,096,
494,043,287,695,919,069,132,669,034,875,838,131,743,776,645,276,748,627,091,
600,347,365,694,955,193,981,660,294,505,283,146,228,544,571,433,775,220,249,
604,225,010,601,099,250,365,689,313,382,563,093,579,415,458,177,590,026,870,
200,595,939,786,776,850,911,007,307,390,976,446,735,344,954,847,634,465,390,
461,294,620,169,362,759,038,583,666,625,859,706,009,857,212,339,153,845,793,
039,230,953,882,469,120,284,081,095,287,241,759,880,240,702,543,176,591,335,
475,455,278,216,313,864,536,714,063,413,269,845,228,967,144,530,485,352,116,
706,874,222,121,187,151,220,985,436,047,193,827,854,323,577,950,268,685,587,
073,252,347,015,754,791,463,025,283,006,805,615,746,535,612,972,916,769,611,
453,681,220,423,692,668,090,591,731,514,297,736,965,992,366,522,855,795,496,
454,991,556,281,532,934,687,703,211,671,861,023,438,436,065,074,764,296,261,
649,948,002,623,509,646,211,877,988,037,023,882,169,485,440,028,666,865,072,
149,322,960,980,859,394,673,323,008,571,841,712,851,964,576,260,300,849,750,
642,252,952,761,123,750,718,457,989,812,015,996,575,398,248,378,591,304,915,
345,733,423,063,360,832,676,906,164,434,458,028,609,443,314,299,331,585,776,
628,535,448,800,311,963,569,510,715,337,629,850,178,577,530,041,335,097,737,
331,692,802,248,193,539,710,596,423,951,106,627,068,801,651,933,236,878,449,
417,000,329,889,415,113,423,530,815,808,237,428,202,225,134,110,721,334,050,
051,573,521,732,369,398,492,352,963,163,808,617,472,413,234,510,121,773,176,
350,451,519,392,488,119,362,174,708,723,260,824,845,010,434,489,613,908,934,
338,817,951,494,120,257,960,832,404,939,412,444,454,191,038,990,782,266,237,
688,519,685,352,828,163,389,541,489,730,799,521,911,500,020,170,331,389,044,
947,716,792,272,178,462,598,627,319,873,006,499,075,256,192,594,574,692,337,
476,528,628,105,234,894,367,109,884,943,928,122,329,985,089,531,748,213,505,
776,369,206,381,835,623,977,652,286,038,136,120,095,673,149,334,100,264,849,
017,684,241,518,589,395,132,694,401,846,439,218,134,454,555,743,196,920,755,
720,497,399,602,817,612,454,283,764,891,088,493,651,515,560,886,158,561,580,
914,735,781,943,289,204,487,840,311,061,783,830,861,469,746,770,401,839,380,
044,272,765,254,514,119,898,193,058,001,849,706,956,718,512,238,300,523,837,
663,906,436,684,925,537,269,215,693,766,575,117,706,584,664,843,405,856,752,
218,714,516,573,897,498,271,094,394,970,319,547,688,997,059,773,575,014,591,
727,287,946,491,106,000,332,538,845,091,411,772,117,177,733,324,791,953,294,
557,127,011,449,570,580,899,238,522,364,475,416,228,163,988,205,633,660,716,
406,100,332,913,417,248,019,623,128,570,934,609,065,018,923,229,654,110,710,
924,713,765,158,750,163,421,121,667,663,258,522,238,861,918,201,455,999,977,
304,038,898,390,397,361,899,807,505,541,013,527,236,888,610,838,717,902,831,
191,444,937,664,309,083,240,127,833,852,858,189,677,184,511,994,151,794,378,
956,702,444,718,263,356,558,678,936,042,999,477,645,075,950,120,808,534,696,
435,089,718,083,075,181,789,684,776,684,245,310,361,711,924,733,206,891,550,
040,070,154,447,326,330,141,209,219,701,823,740,604,302,829,782,007,477,380,
612,229,422,324,644,730,006,769,516,817,992,503,739,753,207,584,877,571,621,
798,917,676,898,153,685,557,213,096,005,705,628,476,583,660,036,238,363,822,
479,831,325,961,336,179,100,650,482,881,832,651,349,240,884,945,262,235,957,
833,288,550,871,045,351,701,797,665,738,021,885,174,845,569,708,689,996,584,
918,114,339,526,640,003,290,367,670,290,057,818,363,937,493,082,382,811,206,
054,156,764,135,379,033,586,388,297,477,106,713,789,182,460,382,244,124,287,
699,917,338,107,981,499,261,131,967,462,432,759,027,250,915,044,045,522,690,
072,698,628,275,031,384,235,067,731,810,161,652,731,969,469,246,279,740,734,
402,582,094,599,296,302,163,766,633,275,868,523,704,590,139,990,868,081,385,
919,834,993,518,927,968,284,020,686,813,387,222,027,327,729,040,154,102,042,
722,208,002,087,709,665,500,915,903,470,168,814,068,664,534,772,731,744,880,
476,276,084,592,151,165,905,190,149,949,761,102,358,052,658,564,938,077,782,
960,613,988,529,934,184,452,956,667,758,385,594,962,789,595,139,350,816,201,
496,968,900,909,420,023,660,876,592,426,416,349,542,003,848,465,971,433,201,
742,357,371,822,435,964,093,328,682,603,020,200,889,614,951,688,273,014,470,
743,413,008,945,313,900,357,541,022,117,106,153,333,354,276,829,669,370,218,
576,786,081,997,595,805,831,131,874,418,347,271,536,307,529,092,970,858,263,
063,402,371,076,134,389,275,462,058,565,055,573,132,443,796,011,568,210,584,
208,540,304,542,478,063,629,889,878,275,904,320,591,475,833,478,599,854,632,
130,086,017,177,341,911,804,474,462,294,894,482,520,924,126,299,840,243,241,
950,220,606,720,805,572,047,969,628,396,959,196,492,714,192,678,657,784,292,
937,752,325,504,072,961,639,552,355,091,863,426,351,077,484,759,850,097,668,
622,596,383,752,151,391,149,461,337,385,800,989,216,176,762,369,463,658,068,
313,895,193,870,407,582,108,091,676,746,627,956,391,603,682,709,706,426,390,
433,224,333,124,885,972,540,563,319,590,778,277,844,421,751,134,485,145,462,
617,300,485,003,699,531,477,844,065,697,500,778,283,097,294,636,295,249,140,
002,368,117,369,797,041,840,561,029,246,103,905,579,293,497,255,030,050,453,
203,527,138,608,467,767,992,026,558,056,534,911,761,472,274,460,206,313,032,
880,777,701,552,435,736,614,907,969,063,393,765,188,639,130,807,271,648,028,
608,143,856,330,512,595,662,984,300,040,391,273,580,011,232,326,231,132,887,
148,079,790,168,024,721,243,310,117,128,323,063,494,862,734,255,549,958,768,
219,805,754,096,771,732,830,945,785,036,133,755,120,273,260,550,450,397,340,
061,372,594,450,921,103,438,522,855,994,960,541,688,556,743,294,394,490,698,
062,858,393,545,765,762,041,094,004,014,003,399,148,680,504,922,760,111,298,
700,492,985,297,357,793,247,736,839,652,410,522,963,959,149,598,516,013,381,
105,125,266,286,363,821,202,125,716,216,500,035,169,590,993,267,586,050,971,
007,451,001,183,770,355,896,285,652,900,772,961,581,171,375,611,733,513,495,
600,083,677,835,971,915,058,366,810,976,764,013,667,319,948,331,738,615,831,
928,461,119,904,585,384,461,951,506,399,536,582,872,688,390,776,528,413,936,
867,223,803,511,352,701,496,985,244,020,810,742,233,163,962,616,283,748,680,
817,153,615,830,372,892,961,999,107,727,485,063,499,936,258,561,660,238,918,
757,956,755,628,290,580,587,644,699,481,685,344,992,637,368,084,880,362,200,
813,726,686,795,697,321,578,953,973,840,225,315,473,648,673,058,353,145,207,
449,367,310,156,542,422,811,164,168,640,131,216,729,575,771,321,892,026,120,
389,279,208,807,806,110,373,891,187,442,507,778,201,434,220,707,288,052,637,
401,476,489,602,143,077,019,188,449,514,035,322,710,385,552,773,068,304,947,
263,097,852,668,308,024,284,845,709,958,926,414,466,336,880,212,808,572,922,
411,626,018,562,404,294,844,372,489,256,382,866,923,224,941,273,232,405,259,
128,290,348,012,091,028,288,632,223,503,772,864,607,156,518,328,599,763,485,
227,737,280,758,579,963,153,288,583,119,703,477,358,366,331,898,213,826,298,
280,841,909,050,087,075,800,942,738,973,555,413,852,636,174,827,981,498,373,
100,456,321,819,424,675,985,907,023,304,614,297,455,610,665,594,058,846,988,
869,825,229,610,347,906,289,393,239,848,600,493,780,948,499,081,296,645,512,
092,767,451,395,657,221,443,534,814,588,042,541,105,100,037,393,624,972,651,
842,499,125,176,884,985,855,779,769,654,085,449,116,658,496,290,469,330,670,
410,617,550,649,816,876,891,658,545,927,653,690,033,333,796,557,033,956,363,
515,873,506,008,833,451,601,520,788,768,136,251,789,876,978,809,990,578,838,
179,027,324,697,447,781,499,287,282,498,507,284,291,648,074,630,183,729,911,
340,313,891,680,737,850,740,421,225,225,974,537,500,326,280,288,427,179,959,
588,523,059,587,711,206,105,580,588,153,705,256,071,398,040,064,490,495,577,
911,337,081,911,596,278,250,858,397,191,573,352,190,832,100,980,501,909,463,
490,013,502,772,969,392,111,678,383,172,185,888,705,942,457,350,475,179,428,
146,160,145,275,766,678,546,742,829,363,741,108,620,200,075,626,721,757,728,
495,709,340,009,712,879,495,325,221,633,792,042,984,749,762,788,452,630,640,
706,811,548,906,089,670,921,912,678,790,174,324,167,834,461,366,269,324,821,
020,175,346,926,047,577,895,998,211,950,564,762,067,965,470,188,791,577,461,
715,095,955,905,423,789,641,974,419,793,409,760,417,161,196,717,453,242,453,
548,803,065,011,688,250,860,423,301,192,093,302,812,139,249,110,267,535,784,
654,121,481,307,166,459,711,957,461,179,447,553,394,047,722,085,789,334,345,
243,731,854,089,698,332,467,359,894,024,699,181,170,745,348,607,213,130,250,
493,466,071,765,536,019,270,753,256,423,800,350,635,067,974,104,597,649,916,
946,569,176,154,293,838,706,259,600,402,276,568,416,594,014,930,874,881,784,
972,928,455,904,054,678,394,847,955,521,522,825,053,010,487,033,793,984,663,
491,085,412,406,240,054,255,358,081,290,469,116,387,912,532,764,846,839,547,
798,351,968,161,904,440,246,629,292,245,068,019,503,038,334,603,979,187,946,
122,965,239,074,579,562,153,560,665,654,386,566,341,803,234,611,478,704,352,
957,418,584,168,466,059,633,101,742,613,863,538,876,854,927,326,205,967,068,
613,080,310,820,984,474,917,787,693,697,499,170,147,464,221,417,637,684,680,
332,307,981,576,389,561,425,216,404,423,540,532,755,074,548,247,917,727,475,
992,896,882,957,296,130,632,743,423,357,799,762,785,869,310,416,416,712,446,
674,813,414,592,728,751,040,347,245,936,190,651,688,871,016,869,609,231,393,
680,613,837,055,329,690,435,999,979,163,001,999,977,223,473,658,178,333,561,
380,110,056,890,832,192,397,189,254,148,023,526,605,996,458,491,722,079,541,
566,165,064,982,341,152,269,267,314,513,856,720,219,581,655,517,366,215,003,
665,130,671,754,545,379,912,369,325,296,217,666,607,596,668,169,920,497,335,
022,230,365,061,424,720,506,362,865,072,251,721,718,885,486,750,272,305,610,
482,645,680,046,431,868,074,836,537,527,830,408,306,471,473,722,954,434,984,
591,883,978,865,817,797,063,256,132,404,941,956,727,536,287,329,768,628,672,
734,291,281,843,689,987,208,859,125,848,492,126,885,487,503,858,153,925,517,
659,055,026,976,167,264,388,893,656,108,576,149,701,423,733,567,630,257,281,
005,400,831,840,048,357,980,321,915,054,111,480,674,096,211,409,176,032,445,
431,277,822,405,147,666,271,181,454,344,572,637,516,380,216,571,591,051,553,
281,316,676,574,298,438,756,929,763,816,013,658,202,033,273,416,963,813,928,
232,724,756,495,009,398,993,916,913,225,021,707,105,865,413,035,006,519,503,
390,986,667,929,272,461,031,442,479,058,156,689,006,578,698,124,599,382,697,
742,969,582,074,321,896,584,762,253,052,348,540,065,732,165,769,135,953,277,
109,154,900,200,693,995,051,282,547,967,237,577,921,791,759,607,687,976,817,
455,714,275,002,319,669,637,201,141,881,897,748,708,693,876,858,054,817,489,
970,928,126,058,079,605,400,092,689,014,181,170,057,652,313,970,892,650,642,
009,671,414,994,181,234,299,141,596,972,741,477,830,786,525,143,495,699,102,
028,708,500,688,280,264,969,896,319,980,068,686,605,421,534,739,967,274,721,
085,924,693,265,264,728,088,427,962,495,080,197,134,433,237,306,353,578,704,
087,449,570,426,960,831,640,719,864,212,128,928,216,935,165,241,496,170,999,
212,916,891,847,319,607,458,027,714,477,206,134,771,425,953,445,827,215,129,
609,556,549,020,857,307,710,137,364,821,508,053,455,000,524,398,319,123,848,
177,287,229,015,357,458,342,121,598,467,678,147,147,418,399,240,380,357,398,
826,720,247,097,410,245,163,172,334,030,214,670,781,456,994,166,100,525,987,
618,685,509,257,388,683,252,236,495,923,641,512,861,223,655,725,232,850,295,
717,880,462,248,878,502,220,678,149,824,131,466,751,976,460,346,923,904,971,
555,825,165,667,271,375,502,621,904,350,105,195,032,470,042,041,273,492,554,
031,436,603,247,613,753,048,007,546,947,920,562,088,927,019,510,816,662,121,
903,371,731,027,217,576,300,232,157,401,762,562,773,848,123,047,734,703,517,
726,478,027,266,270,027,392,156,300,782,929,874,184,185,744,649,518,721,519,
342,709,826,352,828,821,841,360,338,433,311,973,251,515,891,693,233,016,785,
782,157,500,762,809,203,124,059,290,178,140,284,994,369,992,004,399,475,834,
761,622,243,703,327,473,022,746,659,118,210,212,931,482,583,993,541,503,695,
463,136,009,700,399,494,474,724,578,733,463,334,390,262,946,068,510,863,969,
158,594,557,588,479,091,702,603,527,782,697,659,943,381,736,993,959,330,407,
435,642,109,759,668,427,361,580,264,039,324,987,092,687,599,984,989,531,209,
619,682,277,510,000,481,725,886,199,401,618,211,602,799,334,627,821,739,206,
612,543,376,320,780,871,180,162,783,145,545,335,034,726,362,688,252,996,119,
750,049,371,855,306,276,022,497,137,183,872,685,834,646,631,854,740,389,156,
028,797,510,048,382,586,808,691,131,062,499,153,755,556,800,522,279,674,431,
464,605,439,328,270,402,732,412,089,341,855,511,141,085,510,375,821,964,279,
693,201,567,094,566,131,187,612,673,397,783,837,186,893,594,778,533,886,494,
021,014,751,500,448,581,651,530,093,439,121,335,545,563,295,068,198,797,512,
332,375,977,532,425,492,657,192,436,649,810,640,838,902,389,243,522,787,262,
358,581,809,101,706,237,364,859,231,645,282,992,502,649,648,432,128,856,332,
236,373,242,751,612,451,362,481,954,763,364,380,109,201,064,962,269,279,413,
527,603,587,841,572,297,334,315,108,763,317,025,157,924,757,897,085,085,260,
307,881,464,923,038,765,436,325,107,081,689,175,379,239,215,937,662,954,066,
347,849,465,856,884,945,713,296,033,196,367,238,568,874,688,033,617,657,078,
671,269,981,923,471,582,199,989,596,692,367,339,725,579,478,444,106,575,939,
254,592,051,746,368,498,913,305,897,172,339,335,471,651,908,193,197,616,071,
443,095,129,998,212,075,738,384,254,570,729,158,602,886,991,929,545,159,606,
863,999,699,751,561,525,326,362,408,200,535,365,955,763,591,539,884,277,166,
553,077,740,494,336,985,307,478,277,661,725,817,385,531,400,187,118,220,364,
803,159,681,999,520,499,189,773,132,622,891,866,188,377,948,763,382,781,082,
122,591,944,149,118,085,641,501,632,228,501,550,200,312,560,910,777,962,076,
183,343,124,016,172,786,404,862,691,647,292,237,642,441,056,287,143,216,196,
138,825,088,987,729,171,337,488,266,760,045,059,246,682,295,194,553,292,824,
052,312,657,096,811,264,364,589,826,120,574,060,606,298,002,032,252,864,096,
169,921,282,771,969,639,889,923,766,939,339,468,543,312,740,724,438,637,939,
524,444,870,101,799,732,494,449,626,478,650,180,744,299,956,194,604,184,675,
917,459,214,984,337,806,599,247,388,196,187,274,473,705,441,167,706,004,675,
133,585,326,548,281,717,819,237,497,089,039,552,811,491,014,232,011,660,386,
295,362,916,172,276,823,586,081,490,175,404,766,638,608,242,194,011,170,021,
599,699,100,456,178,164,469,332,425,601,675,697,022,545,680,430,825,172,398,
237,546,944,079,933,689,267,769,804,882,784,766,518,153,476,985,053,060,028,
486,033,882,209,551,745,630,002,966,722,445,610,986,232,951,735,313,188,408,
179,265,869,391,295,738,856,404,772,480,536,982,772,617,957,568,025,778,467,
540,209,853,814,769,582,734,651,724,377,811,208,240,098,566,763,996,079,454,
163,042,197,721,530,436,645,030,179,001,763,479,440,689,997,160,037,443,906,
321,526,950,463,539,686,706,122,694,388,224,128,763,537,077,818,797,432,986,
389,929,166,298,246,872,446,515,842,003,261,052,575,913,300,541,434,593,027,
723,475,500,680,153,145,296,158,768,951,015,662,441,988,804,516,575,248,491,
197,121,705,837,163,565,316,439,350,829,554,798,707,773,012,391,671,234,887,
533,284,906,830,057,802,847,896,171,019,316,272,896,308,643,144,326,789,490,
448,202,691,395,416,337,087,522,571,287,514,153,016,573,617,965,021,974,565,
953,346,347,808,782,810,056,356,116,106,234,740,638,283,861,583,826,991,599,
776,737,449,904,804,672,541,666,687,275,228,437,075,155,117,285,788,559,561,
526,945,593,743,324,901,428,231,131,660,560,094,976,934,509,648,538,645,277,
458,309,201,195,938,700,748,137,603,243,200,819,950,547,183,620,222,182,168,
067,949,205,630,717,689,840,112,774,260,063,821,281,349,225,804,487,312,085,
931,166,310,251,635,605,481,966,588,447,391,573,309,520,286,103,710,973,894,
717,305,513,865,062,341,356,171,142,614,836,209,590,866,386,375,285,239,084,
077,804,175,208,267,204,372,700,338,398,111,527,113,707,413,083,152,676,083,
916,925,430,355,447,927,899,175,566,379,031,308,178,786,287,331,735,157,814,
362,181,503,180,532,677,906,027,309,156,087,284,231,339,086,668,235,067,764,
682,645,290,437,069,187,863,503,302,857,444,881,685,465,261,381,119,637,258,
703,594,728,602,794,554,994,645,382,167,758,952,348,506,630,024,634,901,820,
443,742,823,511,595,447,354,945,245,636,174,195,096,663,272,425,964,251,835,
563,924,055,487,525,217,409,201,460,419,825,944,877,373,828,824,618,312,860,
396,105,837,588,272,032,113,083,282,975,761,327,691,369,873,708,879,430,743,
466,401,212,167,555,696,781,519,330,422,826,980,470,336,767,247,417,071,908,
965,495,898,365,162,220,132,284,887,232,725,697,587,030,314,090,999,483,005,
285,496,612,677,931,496,605,858,343,467,731,152,404,851,195,546,612,723,361,
842,401,309,154,423,332,741,659,900,625,084,066,112,724,352,257,724,707,485,
745,765,538,827,400,239,229,607,163,553,451,523,832,946,011,927,970,536,470,
096,052,220,868,085,303,660,362,625,623,112,375,665,602,176,956,895,204,199,
470,318,921,408,148,149,544,719,084,235,209,022,116,688,686,424,547,709,510,
682,150,930,856,126,425,827,756,267,174,075,327,489,691,623,572,360,946,526,
374,005,616,081,006,903,414,213,973,981,327,084,639,540,610,762,404,635,137,
238,605,192,868,293,919,842,772,566,335,599,701,772,838,979,151,719,377,444,
735,075,789,426,750,460,328,560,272,096,455,580,298,426,848,982,788,897,006,
219,240,560,575,680,913,938,203,556,811,632,040,384,654,563,016,766,932,637,
593,293,598,292,316,825,320,183,476,387,482,817,381,708,976,554,170,994,436,
564,620,068,499,680,560,627,644,725,751,358,123,446,280,627,468,040,352,038,
523,853,833,329,121,748,678,393,497,668,307,319,929,235,804,448,431,110,057,
544,789,455,817,343,410,123,788,914,368,061,106,216,374,595,992,058,364,774,
105,793,737,669,743,442,194,239,971,817,474,531,692,711,294,796,812,970,944,
338,311,056,703,376,019,653,872,293,745,562,313,583,787,023,939,419,942,907,
558,642,649,789,274,872,227,459,631,322,914,306,284,259,451,270,857,631,398,
900,608,277,256,274,477,200,163,350,850,565,471,578,301,651,117,421,496,961,
923,979,638,674,375,105,436,230,891,516,789,864,495,302,888,343,645,308,728,
815,454,677,844,446,925,961,442,671,792,594,722,447,410,626,524,951,571,843,
150,115,627,165,263,869,491,841,273,137,531,820,010,741,212,160,598,905,332,
146,706,781,837,020,142,063,291,377,442,027,882,655,250,855,566,332,798,772,
737,990,260,428,225,603,730,524,972,407,414,288,601,229,929,162,013,975,524,
751,638,334,587,429,771,546,035,228,328,746,505,076,682,398,100,782,953,452,
831,532,639,272,793,322,648,842,136,076,465,346,900,204,060,597,040,679,905,
905,187,297,341,783,662,019,604,234,080,912,892,372,204,499,282,410,145,659,
653,390,094,166,509,006,252,472,610,461,810,643,778,463,261,853,736,190,179,
778,870,359,476,331,131,685,122,360,231,148,281,258,766,598,272,940,687,380,
478,522,952,691,922,422,755,935,880,166,445,552,530,582,399,906,568,070,409,
390,953,387,191,268,984,679,073,419,132,577,788,666,514,954,319,486,973,183,
790,134,511,628,464,772,462,193,250,814,244,987,910,160,798,038,314,179,477,
037,523,604,538,246,455,232,101,095,869,226,811,414,838,566,197,388,011,644,
104,641,172,302,021,292,143,896,360,339,683,777,740,561,864,601,831,524,719,
482,103,705,136,278,017,369,962,291,805,968,017,071,475,834,174,747,975,645,
632,180,371,231,955,684,067,603,448,138,168,626,174,547,636,723,139,821,182,
901,745,997,329,357,208,469,607,213,112,860,973,399,525,999,200,100,050,188,
187,197,878,104,232,341,048,505,738,319,302,120,747,755,516,677,442,883,885,
315,826,039,779,650,254,301,270,272,252,371,648,433,375,784,960,689,883,342,
977,929,594,692,403,364,800,469,023,241,157,855,317,223,674,479,524,542,845,
053,432,673,756,919,796,165,713,493,061,486,185,299,321,443,169,601,040,760,
839,742,180,098,282,675,608,517,109,179,268,359,205,167,638,474,538,225,073,
004,647,199,839,349,084,571,551,974,187,037,777,656,012,326,486,097,756,152,
480,367,224,958,410,039,656,348,816,499,459,244,496,666,217,208,072,099,896,
629,512,509,768,180,286,860,574,938,926,587,696,415,554,893,280,931,854,045,
239,025,160,754,616,126,926,638,606,835,609,267,443,111,627,652,688,193,868,
891,911,580,894,402,481,615,399,583,909,916,922,240,460,500,261,644,780,047,
317,765,637,812,839,102,440,124,704,080,735,287,591,564,117,936,998,083,285,
293,390,861,581,348,071,082,713,352,918,421,689,251,004,222,411,093,796,835,
691,042,544,627,999,897,219,652,991,644,083,236,478,854,473,490,509,033,516,
857,169,535,293,367,057,176,270,860,012,073,289,418,197,043,025,460,793,921,
796,150,664,323,480,851,590,765,666,916,694,760,242,915,291,228,632,130,830,
327,525,595,085,172,804,768,719,420,079,526,667,292,331,026,126,690,241,806,
177,031,060,853,990,864,825,264,552,422,131,859,396,936,810,251,024,562,579,
110,842,909,229,386,898,897,998,069,219,703,937,990,494,551,063,611,552,770,
834,401,344,937,606,780,484,882,412,804,253,221,573,762,798,432,318,013,448,
631,396,529,118,780,437,857,995,478,498,838,942,168,955,079,514,432,085,507,
435,676,008,696,773,512,280,578,821,443,304,114,825,949,109,974,965,899,808,
074,443,389,644,075,968,244,178,981,878,143,877,149,490,715,939,844,160,580,
277,818,603,868,801,345,827,157,461,753,545,642,289,148,969,348,790,647,359,
386,842,539,198,685,747,378,099,768,891,185,586,272,283,190,273,782,373,004,
748,255,706,157,533,287,971,760,587,469,227,676,664,227,374,955,290,669,762,
773,333,544,465,802,047,359,141,720,432,568,497,707,592,182,264,824,655,372,
029,486,383,539,127,560,526,901,710,125,042,841,408,812,439,257,496,330,340,
618,354,383,192,780,038,078,367,984,870,610,962,652,235,849,986,577,580,058,
948,784,482,392,245,774,558,404,366,838,024,560,764,271,353,816,597,845,608,
907,399,386,538,690,703,666,701,956,377,946,278,646,568,462,141,147,377,535,
999,923,765,371,550,619,707,610,475,358,204,214,328,014,077,311,575,982,271,
351,959,502,748,963,761,272,443,410,873,193,183,407,275,271,630,980,275,235,
312,721,016,133,276,385,567,964,261,494,021,570,444,031,041,841,059,297,916,
257,786,890,508,257,860,996,535,260,884,373,390,341,833,096,163,678,014,832,
695,075,970,408,217,145,942,298,997,719,703,531,835,020,987,158,156,120,905,
787,691,659,454,495,475,424,383,105,941,842,334,605,383,797,277,882,989,361,
736,214,074,498,266,836,128,507,193,302,023,010,618,580,535,962,427,213,627,
209,586,981,654,131,837,605,295,914,926,486,214,937,478,914,783,144,136,910,
538,988,834,586,907,182,240,821,719,600,312,688,038,106,424,043,908,134,786,
277,204,359,935,560,761,647,187,294,941,160,168,289,640,970,338,481,853,540,
718,489,837,568,142,312,669,507,412,929,026,312,280,796,924,064,227,443,362,
691,665,735,928,741,822,686,958,563,960,646,414,490,906,259,965,252,154,199,
869,579,892,823,645,802,996,771,156,393,571,983,800,018,362,486,045,088,066,
492,190,949,815,988,046,562,214,881,226,796,742,432,241,328,105,891,049,113,
024,724,694,446,628,759,670,268,606,682,892,397,858,401,629,932,843,846,123,
484,255,697,714,778,127,960,273,927,319,963,355,157,546,391,182,991,047,275,
300,029,044,543,804,037,493,136,153,632,038,072,201,891,829,804,272,017,715,
185,031,990,058,259,841,351,212,069,524,314,412,894,118,578,831,780,594,074,
126,957,155,164,966,862,341,437,811,590,155,339,508,668,496,173,388,869,874,
699,496,251,435,942,007,410,790,237,390,354,471,145,943,339,167,220,929,997,
146,507,196,925,027,912,934,006,605,254,846,627,838,392,750,532,654,976,370,
943,550,898,012,245,809,512,417,872,872,238,368,444,904,076,364,007,398,812,
075,010,463,602,827,514,844,310,336,774,963,675,874,807,019,370,712,624,126,
289,579,891,432,613,394,071,939,011,839,837,579,559,050,554,628,049,783,515,
643,851,131,114,382,220,473,449,974,305,678,397,002,642,418,301,067,918,259,
603,583,772,974,112,695,349,545,640,866,001,576,939,315,150,564,222,829,058,
091,694,733,756,885,190,000,862,679,715,127,720,432,863,524,333,566,676,745,
533,352,366,625,036,256,067,730,984,509,247,718,278,239,641,790,185,280,966,
370,730,337,702,650,962,358,121,887,317,281,669,782,095,973,471,151,054,319,
437,299,649,284,050,030,104,670,794,401,366,475,509,835,090,287,666,005,252,
876,618,269,995,511,820,279,112,874,303,894,786,641,964,286,369,838,534,410,
058,646,727,378,419,048,343,566,907,125,506,199,094,727,724,690,078,503,020,
525,607,240,762,090,135,187,476,337,447,909,964,413,894,085,255,602,190,898,
443,241,205,135,286,078,692,257,103,439,454,570,003,588,645,406,718,997,537,
045,379,265,601,502,705,984,211,796,076,425,334,109,748,093,201,550,606,682,
902,383,129,034,966,636,406,371,290,139,974,481,690,379,700,480,815,370,708,
296,191,457,763,950,974,334,160,589,473,078,203,290,033,426,209,278,696,791,
347,312,597,313,101,621,744,031,567,368,952,426,653,926,258,348,734,262,703,
797,117,543,475,367,069,953,731,957,378,268,048,830,931,728,488,595,912,523,
950,427,599,084,932,187,985,786,363,152,397,253,196,601,169,455,658,768,110,
048,307,233,257,447,675,499,974,051,837,802,472,918,945,098,510,297,790,678,
805,293,465,905,264,045,896,339,492,508,713,614,936,033,033,554,708,237,660,
581,840,680,313,126,233,033,667,326,959,455,544,814,331,384,430,525,616,319,
195,720,254,805,325,982,609,149,058,047,988,051,344,273,688,831,843,631,720,
520,849,578,022,466,373,525,750,747,774,846,067,453,873,256,525,366,333,242,
949,539,157,202,954,999,618,171,997,838,237,234,945,580,042,023,408,051,974,
078,836,652,272,719,687,883,073,541,689,030,957,895,475,201,300,740,572,126,
515,716,935,779,529,368,548,375,483,518,094,156,519,583,597,643,505,457,648,
765,861,136,628,707,708,136,539,674,178,111,861,157,771,138,390,315,411,184,
873,381,568,472,623,025,158,457,289,436,299,467,249,512,889,191,401,925,549,
915,887,913,419,337,552,975,490,164,020,910,216,771,519,979,580,089,497,159,
298,912,859,479,749,152,883,585,286,840,200,250,444,300,795,692,916,737,765,
866,171,813,669,959,515,253,056,440,421,877,527,042,326,511,173,284,457,344,
735,218,239,157,432,684,528,039,484,267,891,196,841,167,265,605,340,904,021,
826,642,798,132,787,142,817,056,024,871,471,306,248,485,993,723,349,338,990,
361,285,168,873,863,787,672,656,702,923,969,650,144,908,719,213,523,935,637,
603,219,033,143,001,737,558,215,553,968,226,123,733,252,167,575,984,675,119,
984,786,170,643,143,254,202,145,565,057,966,438,238,425,767,510,085,102,621,
061,847,693,622,420,913,479,043,657,511,483,116,796,262,595,758,688,366,901,
103,468,973,487,738,367,660,080,176,727,742,491,328,209,676,861,469,168,656,
749,477,218,436,322,960,085,341,677,391,574,650,366,340,102,914,242,933,106,
300,819,749,514,667,927,442,451,669,920,585,215,865,861,720,263,822,711,522,
367,580,310,045,567,255,884,338,526,592,099,439,646,096,628,991,645,413,833,
019,626,626,787,763,596,956,022,672,437,973,518,096,392,861,189,230,089,724,
405,629,873,204,888,684,478,830,554,305,770,420,274,367,653,763,914,878,102,
367,362,300,199,926,507,983,750,824,817,795,101,761,386,747,557,410,472,031,
314,981,374,558,773,998,794,039,410,597,359,710,349,057,721,192,658,982,937,
548,354,194,738,170,111,898,643,779,415,845,045,208,087,119,949,425,106,562,
650,322,842,465,081,557,368,913,844,384,898,353,919,305,833,729,437,243,112,
468,690,641,689,160,056,291,810,339,520,121,662,147,580,107,600,450,838,180,
042,166,238,640,012,254,658,609,720,911,289,761,322,108,538,520,473,486,777,
816,837,795,039,629,102,924,691,178,547,991,974,724,565,798,839,863,937,423,
092,198,662,055,772,645,288,955,033,337,056,425,789,695,691,126,109,149,075,
745,268,570,599,784,908,846,471,801,637,832,570,204,017,871,415,876,128,710,
822,661,186,476,433,120,644,056,873,454,717,326,984,300,355,224,902,897,856,
227,591,729,755,199,473,511,028,329,722,832,479,766,761,414,279,244,374,323,
810,318,703,401,433,195,780,996,816,546,566,723,190,119,105,427,196,653,832,
488,898,342,945,786,108,912,626,082,465,281,800,003,535,071,469,659,924,103,
647,898,442,069,194,056,897,532,748,058,235,948,294,384,264,560,703,211,201,
783,166,110,010,913,344,131,562,935,795,322,606,324,680,012,588,948,773,592,
108,034,508,974,366,826,455,259,057,183,976,222,365,576,989,723,110,426,347,
659,637,822,653,473,207,824,183,472,868,302,871,767,209,333,824,372,714,471,
168,734,266,023,466,126,606,665,110,562,083,473,422,158,048,527,730,953,909,
185,783,939,851,418,677,511,716,413,395,326,470,544,141,814,889,268,647,957,
019,173,332,293,845,185,429,268,979,909,207,314,600,928,586,174,353,379,938,
413,545,806,119,501,619,225,114,542,341,164,071,163,472,719,544,639,799,592,
840,398,315,333,437,049,975,806,435,500,161,697,442,862,925,270,949,930,878,
033,770,549,566,278,357,630,849,520,424,358,358,882,153,667,199,138,150,114,
936,240,645,806,680,621,880,840,371,384,223,704,047,245,039,958,473,596,540,
934,707,576,885,727,993,168,715,969,226,492,168,797,255,137,455,295,503,825,
088,456,346,937,529,295,716,895,832,161,707,683,835,910,480,041,830,084,144,
093,761,150,426,619,302,093,398,389,377,539,591,800,123,927,157,487,152,726,
715,821,155,782,179,399,609,802,918,947,224,601,129,121,882,716,033,761,399,
684,524,104,318,647,125,312,896,983,098,241,053,656,114,389,666,785,604,285,
216,827,519,465,615,429,269,254,771,872,841,243,855,468,531,060,117,901,932,
585,706,522,547,321,893,017,747,811,558,711,584,942,242,382,180,891,277,637,
105,315,576,610,021,312,172,916,732,064,761,174,823,035,182,064,628,044,048,
971,082,839,942,128,862,544,514,158,604,134,696,079,900,259,175,723,289,738,
470,397,183,134,287,110,654,240,400,954,451,784,529,405,490,636,779,974,870,
087,457,898,072,694,182,305,040,723,990,700,680,341,601,462,463,425,894,976,
580,702,520,158,840,196,672,503,754,084,425,609,115,375,941,540,921,537,797,
946,206,468,936,660,011,587,641,475,124,938,238,618,342,741,682,172,791,657,
473,419,272,973,359,802,454,626,165,602,829,827,356,450,760,820,333,912,418,
709,868,156,302,749,858,165,040,150,651,923,259,400,760,537,493,489,192,757,
575,444,624,036,358,067,313,347,720,760,701,254,970,854,487,446,325,426,315,
168,074,483,750,692,048,123,310,243,127,161,116,715,862,173,009,178,252,626,
423,340,082,380,422,575,784,127,313,303,494,576,764,655,058,900,258,489,413,
805,698,206,672,466,591,610,756,748,882,320,866,701,803,079,909,722,481,833,
370,531,101,608,194,510,526,118,687,052,906,363,640,140,843,921,492,685,658,
315,311,097,056,822,490,659,917,287,129,731,318,438,106,276,065,307,724,832,
283,539,397,023,556,575,581,036,087,031,538,335,507,334,505,324,689,306,684,
115,723,588,213,766,778,665,133,345,440,974,724,707,386,666,125,323,961,929,
297,910,232,144,761,458,130,666,199,687,207,635,403,001,343,565,909,436,066,
734,393,637,036,411,543,922,426,094,621,470,952,690,782,708,407,767,611,696,
625,694,836,883,937,315,464,530,876,602,802,841,123,892,121,737,675,841,206,
095,815,160,712,334,505,999,963,241,613,242,643,305,245,240,696,782,785,062,
945,668,676,519,688,839,882,433,308,100,923,074,549,053,211,942,705,483,805,
665,745,283,537,012,511,742,779,256,516,679,006,223,861,875,557,417,355,278,
222,548,153,889,614,564,831,348,003,888,500,157,352,645,205,429,861,410,306,
200,586,439,712,608,508,443,371,525,516,631,332,050,882,725,787,600,247,200,
135,841,210,577,885,130,542,755,108,972,846,875,010,553,317,199,290,088,341,
942,610,442,873,904,493,801,372,191,358,378,619,523,544,457,156,701,298,163,
391,632,857,283,665,419,697,883,998,182,582,361,186,785,939,689,940,021,772,
902,710,442,873,569,505,437,596,775,610,638,352,905,683,097,400,368,140,296,
168,868,945,691,124,656,729,820,120,620,848,790,261,201,478,015,938,101,090,
118,033,986,399,282,264,521,641,863,684,841,278,130,649,670,574,232,973,674,
717,232,677,038,354,494,371,004,642,805,051,953,271,655,349,027,658,815,559,
014,381,179,468,773,491,505,463,319,658,423,341,940,257,755,864,702,316,351,
738,772,652,213,357,446,660,486,839,827,653,076,679,508,734,800,571,801,172,
956,853,125,367,156,872,891,321,882,441,372,114,993,686,377,800,322,702,269,
361,866,025,639,948,027,328,146,278,276,105,233,197,449,870,742,057,143,463,
582,641,135,082,704,037,453,945,705,949,674,296,396,590,477,283,332,765,995,
488,401,582,780,017,627,293,787,812,576,285,412,263,935,829,636,260,865,626,
526,679,449,683,548,600,869,098,075,159,737,347,397,700,347,092,875,308,364,
244,334,807,422,957,282,949,057,671,978,147,044,413,860,613,597,718,378,855,
419,526,230,280,492,115,155,296,807,604,079,928,424,544,876,276,864,305,729,
062,532,730,008,094,032,812,493,988,386,173,047,734,574,188,442,467,609,002,
932,238,717,821,332,213,757,404,479,695,872,575,928,527,862,832,696,062,858,
580,864,174,115,202,083,675,221,214,742,435,404,019,196,433,989,169,515,796,
731,069,937,812,511,732,016,129,607,877,002,325,737,530,636,663,139,594,757,
868,047,040,952,045,248,382,912,045,008,192,170,559,781,413,422,690,129,107,
558,782,970,066,448,966,776,159,924,499,529,120,025,423,693,433,172,790,358,
458,469,754,879,660,554,471,153,936,397,064,131,469,613,683,643,166,065,432,
120,344,589,881,443,107,662,454,620,762,541,619,973,553,462,323,277,115,840,
993,512,292,075,157,186,396,837,677,091,916,111,616,444,488,467,613,021,124,
026,090,930,476,871,467,460,831,604,727,846,963,826,160,310,828,207,148,165,
381,708,857,739,693,855,399,073,696,859,642,463,810,154,854,382,881,459,033,
050,708,947,251,591,567,143,799,978,417,281,219,746,475,904,623,399,700,681,
542,941,951,636,203,249,079,482,979,183,119,841,258,827,171,465,295,624,264,
257,081,537,326,685,371,730,624,813,072,109,293,778,217,861,222,155,970,582,
778,037,659,392,849,260,628,345,825,811,839,828,667,814,655,651,366,560,564,
541,792,470,920,781,155,195,058,834,552,279,587,710,329,350,800,004,765,688,
005,448,830,181,457,649,447,290,543,295,765,439,011,342,815,766,446,760,167,
126,458,126,912,005,842,652,956,313,163,500,770,857,201,726,156,468,056,001,
339,686,052,533,414,536,181,910,875,598,188,713,350,567,780,515,726,536,548,
555,815,571,176,271,496,717,795,943,998,086,325,116,432,779,146,072,557,410,
400,511,451,475,831,705,793,540,642,882,176,171,524,664,034,754,923,311,624,
213,333,067,914,084,801,658,690,504,672,411,497,506,171,146,406,192,702,530,
342,734,061,775,578,736,958,147,020,875,758,439,732,394,780,138,874,033,605,
872,023,583,056,548,484,269,441,366,823,462,714,236,560,499,728,144,574,815,
787,288,542,510,531,440,836,130,275,039,600,422,453,705,464,370,009,363,445,
507,259,424,080,017,593,401,807,444,910,459,927,703,223,131,681,035,117,819,
531,869,950,016,014,994,912,196,938,629,500,764,894,483,832,712,808,997,471,
515,981,593,063,160,906,516,037,749,164,259,536,459,964,037,626,670,712,457,
958,089,912,869,429,642,946,752,220,427,371,633,459,885,475,699,375,471,169,
834,386,503,808,361,436,998,836,605,634,951,460,889,137,226,634,727,082,954,
922,767,340,783,731,130,281,868,570,595,377,483,954,116,246,939,930,528,299,
920,151,942,423,448,301,482,221,426,154,735,406,728,781,859,691,720,720,926,
314,555,505,870,714,789,075,590,824,206,575,971,633,592,467,371,124,452,474,
543,202,369,383,196,698,415,569,860,069,547,711,838,256,110,918,046,556,399,
474,862,659,710,113,569,373,248,191,025,411,380,867,986,267,183,783,280,503,
662,367,832,477,439,488,318,118,549,048,888,376,394,921,880,392,162,080,229,
968,009,358,055,876,575,902,959,296,076,354,222,753,137,826,076,188,385,509,
925,843,254,977,164,013,808,285,675,479,730,355,168,371,274,800,656,084,196,
979,015,122,317,738,710,409,251,513,571,501,243,101,935,824,278,510,774,131,
245,783,911,324,042,355,710,430,502,698,290,909,270,404,876,635,971,833,601,
011,262,844,537,835,263,438,680,735,205,964,483,697,511,286,873,121,491,501,
996,752,385,674,118,981,560,026,394,635,673,399,402,569,718,858,471,512,339,
177,041,578,151,889,937,293,145,602,333,307,900,203,584,302,374,961,262,807,
688,922,765,490,970,122,578,062,587,202,318,936,687,814,340,216,633,539,586,
844,091,261,204,175,022,953,374,891,702,465,333,248,240,262,513,439,717,572,
420,740,376,601,108,636,039,969,326,069,157,259,859,125,365,843,902,621,348,
992,755,142,650,910,897,556,294,578,999,949,267,138,600,455,621,592,821,764,
125,841,577,539,927,971,480,170,201,893,892,613,688,189,108,293,884,267,124,
772,585,904,327,495,864,847,149,571,200,752,775,675,918,452,863,381,191,709,
086,157,827,388,885,732,278,192,145,324,338,757,831,707,571,033,756,741,368,
909,751,535,387,678,165,313,976,776,822,733,078,840,219,334,848,619,558,621,
381,168,808,894,027,346,195,490,237,643,872,006,688,315,348,343,031,125,610,
677,967,756,683,341,685,497,274,090,893,860,588,991,215,611,145,609,037,868,
821,665,918,497,858,629,874,447,314,763,886,135,761,359,662,518,234,268,755,
139,125,296,583,694,289,174,583,661,860,630,265,781,385,684,735,615,233,775,
768,403,360,865,992,998,634,768,321,222,231,972,766,326,564,262,769,673,638,
457,313,162,052,190,114,489,989,206,087,544,205,973,767,955,020,004,039,560,
017,511,683,755,301,114,782,825,820,580,439,721,368,093,594,539,720,962,374,
355,911,329,424,659,389,907,674,398,705,714,637,181,703,976,305,518,182,919,
686,058,995,829,735,484,200,582,069,907,747,716,238,760,310,232,700,499,707,
890,008,947,998,694,623,799,393,397,916,917,803,418,271,883,726,195,038,237,
508,092,731,456,968,886,532,377,250,393,669,823,299,550,502,126,446,845,054,
160,466,786,881,531,264,155,142,286,023,886,930,708,421,664,583,428,392,188,
281,230,704,952,094,601,695,025,592,888,166,999,794,839,895,131,384,047,739,
264,367,886,130,789,086,901,956,043,630,001,853,420,987,251,491,730,274,033,
961,918,234,586,384,551,374,698,607,360,977,652,297,529,188,351,864,596,034,
617,418,392,881,921,300,982,964,965,899,289,120,474,072,121,642,555,967,737,
790,099,467,172,047,984,595,678,887,018,634,870,071,668,619,572,723,083,262,
695,124,604,771,307,679,217,224,278,842,614,229,369,403,230,348,519,366,740,
081,866,544,511,277,080,518,027,390,337,881,082,619,016,841,431,487,383,295,
329,276,761,270,519,951,217,575,042,366,658,746,340,642,679,512,674,329,369,
645,164,735,304,479,195,155,997,766,889,390,110,578,876,349,055,192,533,800,
043,436,555,935,904,693,033,248,825,151,736,603,578,626,025,764,059,743,191,
306,904,194,717,439,486,769,477,181,035,501,006,736,967,777,545,878,827,042,
828,785,322,141,336,955,635,722,261,663,178,568,546,592,809,974,498,778,394,
696,569,396,640,995,754,906,407,869,254,905,673,738,564,118,506,903,286,899,
143,542,471,088,049,769,630,555,725,555,824,935,825,286,238,713,599,322,619,
068,709,563,915,937,283,361,127,159,289,526,203,046,955,910,494,244,541,753,
306,484,244,323,956,424,775,796,743,743,854,311,884,387,931,728,606,062,298,
680,937,060,798,025,915,501,712,491,607,807,700,933,819,738,271,512,170,530,
765,135,739,034,361,409,227,859,872,640,029,654,909,571,759,911,898,771,084,
762,173,483,398,699,523,075,602,677,977,299,232,324,480,890,937,807,936,449,
975,291,140,382,008,823,229,691,570,663,822,079,378,907,418,619,343,982,083,
210,319,522,618,020,183,274,364,712,161,287,140,278,350,009,968,670,376,522,
325,689,875,175,248,142,328,792,678,905,735,019,995,239,984,269,230,797,252,
173,662,226,069,771,328,042,824,684,982,659,843,576,328,387,929,257,621,139,
805,634,973,946,877,120,095,497,553,311,542,161,198,658,955,822,459,384,348,
414,332,037,704,557,259,672,934,331,062,778,094,092,834,842,527,472,772,277,
033,579,443,005,003,386,961,715,863,512,261,185,661,827,883,921,714,095,402,
527,991,371,798,953,193,992,338,907,983,425,830,992,627,685,346,335,587,073,
825,532,937,349,704,236,296,081,010,576,072,129,193,879,341,690,920,080,438,
808,290,551,136,003,297,607,282,760,038,557,207,710,781,926,411,994,787,887,
764,545,250,023,578,843,432,674,000,417,185,550,017,361,654,685,665,974,723,
030,312,529,378,199,322,170,600,704,114,207,855,529,908,067,788,426,322,945,
059,047,708,124,148,739,089,234,937,732,160,471,746,246,716,375,915,786,798,
417,963,828,622,785,361,953,154,710,281,041,860,474,704,470,106,254,867,612,
012,904,805,930,340,973,838,745,730,414,880,069,073,490,235,387,400,063,758,
305,493,209,544,059,878,293,997,731,032,692,959,274,245,357,551,967,615,173,
207,251,224,104,029,221,595,865,506,442,074,113,118,246,467,976,684,193,668,
009,805,254,334,735,408,539,149,316,855,942,274,773,300,930,095,393,177,898,
560,916,081,312,543,466,499,361,651,376,057,824,803,475,049,977,714,487,988,
275,132,954,764,342,663,326,267,215,999,105,432,803,963,158,868,397,366,073,
595,496,929,742,203,508,339,971,146,571,487,080,542,298,657,098,110,422,317,
272,277,333,522,460,571,887,141,741,591,235,993,085,177,163,780,407,708,043,
787,392,140,296,039,873,777,140,225,606,310,546,832,033,007,774,208,678,150,
900,694,753,860,012,852,304,499,041,925,567,862,356,174,569,565,401,699,353,
381,668,124,217,015,586,346,484,716,580,719,542,733,523,599,498,825,104,466,
723,180,569,865,944,322,646,320,978,185,966,408,833,494,036,358,234,698,672,
201,184,512,670,200,809,919,195,517,899,114,171,189,856,238,262,488,255,518,
512,080,954,122,440,145,184,251,288,701,804,799,129,177,675,301,029,450,987,
913,060,531,160,471,757,453,388,803,884,048,488,577,944,219,165,921,686,209,
457,869,758,021,997,891,839,341,754,684,141,913,168,170,252,924,344,181,200,
803,697,474,162,025,860,915,939,651,799,497,652,756,206,521,912,761,085,555,
303,873,053,743,644,978,733,761,431,833,085,025,937,477,606,324,681,212,404,
258,680,424,987,423,068,182,127,660,423,471,276,896,491,670,062,485,267,753,
175,584,116,619,629,683,628,332,355,514,099,835,983,759,045,294,808,536,600,
667,167,725,131,344,679,896,141,293,872,366,437,871,763,309,852,780,249,146,
428,968,987,315,851,423,464,631,360,994,997,863,646,484,347,406,594,710,142,
771,444,917,512,867,759,649,997,872,913,246,995,034,369,768,990,749,461,923,
608,642,025,481,319,492,351,888,702,161,679,180,464,625,869,852,060,881,713,
944,942,798,058,287,452,953,160,231,673,837,600,759,628,271,081,710,641,556,
336,862,873,792,136,845,469,561,251,507,599,143,731,199,195,366,658,007,370,
534,819,209,806,065,806,310,093,921,002,928,947,812,148,816,069,350,686,118,
474,920,808,721,048,977,187,055,523,731,893,292,785,468,934,274,751,174,501,
718,534,430,311,312,809,393,039,539,815,329,402,057,379,810,466,126,319,703,
413,579,422,344,982,394,097,665,074,222,089,718,209,923,507,004,169,427,145,
693,881,452,350,301,460,485,176,569,459,500,931,071,050,547,988,547,899,040,
007,574,768,714,114,161,615,830,924,844,696,705,970,097,768,913,790,329,779,
331,001,811,892,320,043,599,659,746,830,990,242,941,934,535,318,917,367,639,
536,201,274,967,744,380,409,523,776,153,836,786,946,843,640,647,857,711,857,
931,339,507,074,467,932,912,206,252,784,200,723,330,493,188,310,262,108,894,
104,969,958,527,565,704,048,548,130,563,584,301,440,548,673,215,869,778,028,
347,888,835,948,459,881,524,452,338,885,779,856,613,134,024,068,042,944,160,
287,614,060,747,084,486,005,729,028,590,574,718,415,609,561,010,114,972,293,
811,008,241,046,566,374,928,077,685,879,405,944,124,305,715,652,363,512,236,
278,652,652,394,914,761,882,646,678,521,409,878,171,858,447,158,120,175,855,
370,921,979,666,863,663,701,552,574,353,272,994,436,360,008,674,897,270,947,
504,701,872,119,818,153,828,220,781,914,157,457,216,551,062,832,951,094,316,
183,552,411,337,116,192,369,800,451,509,437,682,439,026,331,682,701,487,730,
172,737,083,909,052,318,015,319,671,305,982,646,072,886,694,586,973,201,716,
598,441,943,814,370,968,015,655,806,688,293,134,211,842,466,956,703,499,677,
412,916,180,675,435,236,042,722,352,515,488,572,250,160,718,542,580,077,120,
037,994,486,779,417,491,757,894,614,995,754,038,819,329,575,135,699,124,671,
352,771,355,236,494,372,625,459,118,657,206,757,696,652,890,950,657,941,534,
861,725,348,720,728,583,439,352,757,911,659,204,196,835,180,968,082,505,311,
685,463,743,849,598,480,432,008,473,103,035,017,413,222,278,263,965,937,554,
398,191,634,999,152,259,437,225,382,682,058,119,169,326,276,223,308,782,159,
392,308,852,437,099,814,198,541,197,053,188,344,947,840,956,031,268,990,114,
958,946,383,901,089,765,568,446,648,254,482,214,703,852,451,000,502,427,785,
438,602,681,985,190,597,801,397,301,304,191,519,754,396,744,347,192,665,606,
665,348,923,676,449,308,515,748,154,665,634,525,640,551,370,189,847,240,919,
747,842,431,692,047,233,242,199,462,894,828,035,879,348,359,389,081,408,205,
699,336,140,918,785,147,474,966,592,794,780,375,271,167,219,829,679,989,297,
503,414,425,652,553,600,947,934,931,643,656,270,750,050,798,958,100,966,336,
871,579,676,004,329,330,220,154,032,241,548,347,967,567,050,785,451,604,006,
843,446,176,860,640,847,907,670,367,446,682,819,008,977,269,020,113,702,921,
365,107,986,601,353,059,786,831,696,732,741,603,787,471,590,097,206,628,642,
660,482,128,770,042,958,243,608,271,446,654,219,476,166,385,800,446,987,310,
020,890,812,541,577,012,974,862,403,933,835,066,700,657,401,272,338,375,753,
551,378,517,113,529,488,334,796,324,924,256,184,267,856,848,270,470,739,841,
737,368,062,566,616,200,995,715,533,415,729,566,064,674,335,751,618,855,257,
573,240,126,587,348,739,189,700,605,077,702,213,357,967,124,693,895,875,848,
965,455,875,350,116,402,736,622,364,103,560,868,624,391,539,806,752,693,604,
649,316,913,913,328,252,363,335,618,151,344,306,534,117,633,760,655,457,710,
191,270,068,126,108,408,374,733,144,223,632,582,462,890,618,877,637,507,039,
074,554,635,644,909,446,970,068,339,886,374,171,919,008,117,417,721,480,966,
476,323,138,381,452,685,009,035,989,932,780,650,933,821,690,209,477,137,846,
663,096,128,114,390,576,783,765,211,708,226,098,289,579,183,273,679,074,862,
250,380,319,449,971,167,247,280,204,848,661,240,659,944,167,601,509,869,669,
913,797,564,621,090,496,947,016,301,717,007,430,439,990,464,703,328,226,189,
816,809,376,927,833,838,297,085,764,053,415,361,515,064,359,446,399,525,008,
486,161,542,049,257,957,745,652,793,751,348,681,656,010,664,509,988,702,347,
305,870,253,159,137,897,628,740,319,203,649,353,258,588,996,786,668,609,576,
391,591,395,731,662,380,218,590,379,188,660,471,006,150,341,724,796,853,083,
819,686,173,522,388,951,264,694,590,874,048,964,194,093,217,598,209,310,983,
519,482,037,639,095,459,290,228,901,398,680,554,282,646,572,312,829,177,644,
929,900,127,454,827,433,841,886,953,346,258,484,219,918,348,707,325,303,963,
732,517,222,451,481,057,474,721,953,034,382,901,026,578,064,019,930,748,756,
320,714,918,129,297,591,709,930,847,101,389,227,165,230,078,742,402,657,788,
507,903,795,140,852,634,111,139,851,173,871,226,252,501,705,660,054,484,895,
471,501,511,113,138,665,400,259,233,050,936,404,425,604,854,039,706,391,309,
873,912,533,705,057,897,105,664,620,176,364,487,747,841,041,202,464,225,777,
477,416,454,777,868,177,242,925,445,895,962,933,324,466,148,334,309,594,326,
430,394,256,827,792,595,502,758,825,074,720,499,417,791,686,465,465,011,845,
272,972,655,372,974,805,138,345,474,582,267,373,222,428,905,909,468,237,145,
243,184,032,470,961,258,205,722,411,024,991,183,853,366,709,588,721,220,948,
823,108,399,007,118,997,554,890,596,323,693,090,386,551,470,708,473,181,025,
867,650,587,203,054,318,879,182,863,962,015,428,741,635,553,017,231,256,450,
186,497,701,333,679,334,873,475,610,535,645,837,220,943,616,964,370,862,118,
246,326,646,919,603,632,376,664,075,046,333,683,312,771,406,874,756,040,178,
934,172,481,200,776,743,342,288,334,086,708,021,190,486,861,735,301,769,819,
946,725,471,229,013,070,443,059,946,140,062,345,921,922,212,638,456,618,391,
217,605,711,208,485,589,455,034,963,603,541,960,164,892,952,340,572,382,680,
654,842,611,371,763,600,363,932,733,430,073,135,633,867,543,587,214,363,387,
077,494,260,040,275,449,353,216,443,287,653,231,728,093,676,566,662,373,358,
098,721,474,649,753,983,568,117,876,594,248,515,171,975,388,516,898,459,934,
878,190,604,705,368,022,101,716,770,136,847,543,123,681,762,304,752,892,512,
432,271,838,685,149,906,026,140,113,631,942,416,080,394,349,539,812,761,768,
594,429,350,527,258,669,253,295,657,807,398,453,099,543,318,695,917,352,216,
305,044,336,599,886,003,797,550,770,189,563,851,305,345,215,970,409,466,617,
816,426,630,898,230,739,951,053,369,598,680,674,670,733,889,514,382,757,054,
288,410,758,720,799,431,985,335,352,023,087,620,399,499,030,498,911,967,343,
456,575,527,882,885,323,542,483,648,748,831,137,821,072,713,296,713,033,802,
263,257,146,070,403,055,178,192,588,271,245,199,070,595,895,603,403,764,204,
287,681,241,745,660,993,411,753,620,832,767,098,498,672,999,278,719,483,879,
862,838,944,229,779,814,664,203,459,132,760,325,761,704,405,009,679,110,705,
072,729,052,223,763,913,269,546,825,999,912,744,011,991,852,371,596,116,885,
658,476,682,328,348,991,015,844,995,564,738,228,081,142,371,051,775,960,884,
756,854,387,183,847,436,902,901,738,853,363,427,651,145,832,823,254,453,848,
777,488,181,748,849,822,925,351,684,732,574,896,764,890,148,795,349,628,353,
775,003,206,067,826,680,534,908,697,009,310,253,320,849,359,542,332,306,765,
705,839,784,735,373,593,423,994,745,220,064,676,085,973,382,978,264,579,200,
537,486,377,036,212,479,363,112,961,988,611,030,671,828,547,041,161,142,486,
906,955,579,711,224,036,572,997,271,267,794,743,805,582,104,070,744,401,607,
836,103,384,617,294,910,353,804,086,400,516,289,058,844,420,357,722,519,624,
572,935,669,120,907,597,626,575,978,448,616,798,543,967,620,290,227,690,357,
317,248,159,703,423,794,693,389,824,493,394,566,407,596,827,819,480,917,680,
982,537,595,848,896,647,407,039,269,005,516,121,023,250,585,962,142,838,966,
501,766,071,002,525,459,631,401,037,876,431,126,212,067,160,826,366,298,633,
718,907,057,763,840,867,196,446,926,419,375,198,262,019,344,840,015,896,970,
274,391,603,101,002,739,202,096,563,953,763,919,458,722,110,732,132,962,310,
465,279,165,229,818,893,091,495,381,377,956,762,450,454,377,803,913,748,198,
957,308,506,242,430,292,328,652,691,607,819,256,002,532,311,550,920,433,447,
795,907,461,738,388,985,725,049,461,523,875,907,803,592,995,297,199,625,620,
712,329,491,565,404,999,195,072,386,806,142,288,243,421,425,815,783,712,203,
135,520,946,245,207,298,681,774,673,199,615,854,693,110,158,505,746,852,480,
438,199,213,451,423,869,536,613,159,625,242,692,080,219,192,092,235,425,950,
724,281,478,296,048,574,788,653,117,214,199,849,393,635,309,435,449,749,119,
236,202,911,524,200,392,227,879,605,072,050,666,581,288,151,304,499,712,524,
953,247,586,980,129,818,634,619,409,877,628,610,214,439,998,077,938,805,192,
448,834,693,500,137,183,357,909,242,999,487,929,072,606,552,268,911,907,141,
812,725,114,387,889,212,816,258,400,887,580,074,741,122,371,785,510,790,607,
408,731,888,837,571,164,973,960,917,449,089,314,223,092,831,511,334,962,722,
251,785,905,848,462,954,988,352,329,609,914,237,960,931,314,639,912,429,691,
373,618,977,495,438,727,455,831,221,383,412,603,344,318,246,019,501,968,685,
941,833,662,208,795,428,840,691,101,340,049,895,408,178,172,352,098,868,205,
663,215,022,109,036,976,787,363,544,364,036,691,993,981,983,404,570,544,376,
297,019,609,547,375,001,098,148,793,418,252,454,226,072,909,219,875,823,257,
841,481,313,248,285,661,207,815,476,237,619,368,893,391,900,103,260,712,697,
574,498,460,077,332,304,585,708,374,148,837,197,486,089,742,745,745,499,286,
112,213,830,694,141,059,940,448,133,797,105,787,353,774,815,635,480,131,597,
099,440,709,192,417,084,800,524,678,383,559,438,966,865,325,574,181,893,138,
463,093,159,295,206,815,348,415,460,841,437,667,388,399,488,342,139,411,672,
612,347,805,984,805,956,461,737,988,533,748,585,279,157,165,135,732,631,451,
444,135,249,659,648,112,158,266,458,516,357,067,260,557,946,676,013,402,330,
445,001,809,466,957,303,189,152,446,630,683,300,053,585,533,284,710,364,673,
914,050,079,984,427,721,200,444,062,301,246,571,557,123,084,157,455,868,212,
205,279,002,667,019,455,145,864,682,564,703,695,182,329,024,144,637,122,283,
146,217,341,881,085,604,049,015,785,156,595,683,539,331,299,190,290,227,012,
902,363,985,726,800,046,375,541,436,295,864,902,907,694,514,248,770,648,456,
141,341,890,426,197,568,768,574,927,836,153,796,434,892,953,619,352,106,078,
809,740,018,170,025,598,878,810,792,416,683,457,922,525,794,068,454,601,414,
568,476,042,453,230,124,093,026,208,460,493,519,992,460,676,721,742,574,615,
052,962,264,325,688,699,057,020,445,250,112,697,143,218,104,476,377,442,143,
536,386,565,627,760,503,125,095,452,531,676,517,718,862,881,818,825,759,210,
417,534,332,891,359,904,714,845,948,107,977,563,340,073,487,551,828,342,857,
931,353,656,176,260,096,667,916,156,235,836,235,780,332,394,556,152,242,559,
893,344,753,745,702,875,824,509,316,559,867,962,960,768,971,632,619,068,499,
503,817,728,421,719,487,328,351,710,577,349,313,861,821,302,521,520,697,537,
747,919,090,549,692,891,219,388,444,572,641,076,861,402,222,033,942,087,556,
943,184,471,844,235,815,271,682,244,677,942,348,705,712,673,493,204,247,107,
749,464,492,501,978,072,439,039,391,095,138,963,678,348,452,113,227,917,265,
261,223,394,513,253,431,025,586,884,513,426,260,984,548,623,202,970,560,112,
025,731,108,545,410,833,624,544,672,188,813,257,777,025,111,731,685,414,447,
780,765,730,647,022,769,465,336,435,494,597,677,484,493,777,347,070,612,363,
111,795,269,731,828,843,691,462,191,987,263,837,826,058,075,279,943,703,479,
708,259,845,221,875,355,856,185,525,483,689,713,999,163,802,926,394,246,362,
115,661,457,916,618,117,637,331,711,687,274,349,244,494,305,808,500,125,774,
464,671,395,735,576,114,519,369,468,002,302,516,131,672,962,645,872,907,502,
654,678,195,288,803,792,798,663,177,527,222,827,356,562,173,517,367,199,383,
924,238,545,053,344,192,623,929,825,338,443,066,681,786,935,501,936,663,014,
356,460,684,078,646,185,507,868,312,023,660,498,540,218,868,015,692,780,962,
095,691,628,459,048,674,073,611,207,520,457,836,146,060,735,615,792,360,705,
809,405,641,495,847,512,153,937,570,395,636,910,333,968,571,135,958,497,847,
176,469,398,784,301,995,987,077,069,749,853,156,590,520,550,933,433,133,888,
080,293,322,506,869,243,565,293,061,970,293,647,419,043,527,855,217,055,813,
146,414,064,977,499,149,562,113,596,712,087,463,033,093,449,504,498,384,163,
216,572,771,990,255,245,921,336,045,018,132,276,871,356,672,890,969,947,761,
710,845,584,707,154,073,157,514,629,365,823,112,704,383,054,336,205,539,635,
626,717,015,017,627,542,943,411,971,542,971,549,433,964,513,154,933,338,733,
222,538,144,477,688,629,818,632,673,201,750,600,042,794,329,011,043,481,590,
419,055,323,442,557,856,524,218,326,069,417,523,525,447,310,630,410,481,020,
110,901,011,629,371,733,599,627,852,376,364,676,859,072,415,366,035,859,542,
357,422,691,880,239,342,859,267,048,319,286,153,652,412,941,577,804,064,079,
654,992,367,348,371,673,153,432,484,838,096,645,755,418,998,989,135,768,592,
993,074,524,446,980,525,247,788,468,821,048,562,370,635,624,336,513,325,840,
648,230,155,418,934,475,692,603,127,289,548,264,557,329,959,683,205,463,906,
126,928,789,823,524,087,288,250,435,214,894,427,306,685,280,819,746,956,875,
972,277,345,534,624,487,150,232,623,581,338,707,311,229,326,076,850,775,114,
977,179,669,708,199,284,024,775,297,456,682,582,886,790,969,285,620,107,391,
492,936,936,209,735,283,283,434,625,029,126,531,417,138,111,536,122,066,508,
954,583,907,605,426,641,007,809,830,673,402,527,777,866,309,262,966,823,873,
739,058,992,182,402,046,773,343,559,862,434,085,680,923,961,739,574,130,622,
245,567,478,554,812,902,006,794,715,618,686,237,519,199,725,933,008,737,782,
500,446,974,658,248,761,360,402,669,146,528,316,558,075,404,787,708,359,410,
080,408,147,456,177,914,113,891,955,930,210,450,672,232,194,178,462,616,186,
615,466,193,617,919,072,654,106,162,123,882,195,560,431,382,983,536,844,941,
184,820,557,098,239,753,891,966,778,809,203,824,859,660,245,789,402,183,516,
419,757,423,045,072,639,507,750,659,290,810,236,990,355,595,604,889,053,797,
883,910,889,755,714,904,557,545,727,071,144,611,181,693,398,416,154,963,962,
382,617,613,427,785,064,770,361,161,927,581,636,207,953,998,790,597,914,875,
466,014,873,225,848,683,291,386,825,649,065,590,277,495,453,823,108,209,961,
698,075,619,604,074,705,669,169,067,192,059,950,637,396,609,171,955,051,572,
702,524,044,805,420,811,307,559,228,025,650,185,742,981,436,357,181,865,499,
601,385,402,414,553,536,524,938,258,442,487,102,692,587,123,743,949,945,614,
232,936,414,574,902,289,103,761,848,261,035,918,229,033,157,081,002,044,757,
090,541,670,779,254,779,267,010,943,707,130,086,945,107,467,052,434,784,175,
198,382,467,350,313,620,579,551,088,653,684,148,067,069,066,410,673,927,488,
559,357,703,797,757,809,203,573,812,497,245,127,810,611,441,611,723,728,481,
020,347,783,435,970,104,966,805,667,030,528,134,548,873,926,539,282,610,489,
681,211,653,208,264,584,547,298,962,735,313,962,990,375,904,016,500,842,306,
199,916,539,823,723,836,330,501,551,616,941,105,406,006,314,904,036,823,288,
300,438,873,307,005,217,129,350,868,356,774,467,487,629,171,860,563,601,510,
144,993,491,823,280,099,289,485,538,669,089,923,476,839,630,165,081,853,007,
861,383,966,378,318,330,107,300,064,085,037,597,680,757,560,615,040,104,610,
625,168,227,068,664,793,611,171,709,301,348,785,244,887,985,670,903,749,083,
758,265,741,588,138,964,501,998,827,215,834,291,584,411,089,636,668,295,981,
721,604,995,683,403,500,707,294,916,281,993,454,364,008,214,388,103,179,492,
115,708,162,338,204,855,205,538,175,539,336,035,922,801,815,916,797,887,454,
167,302,565,583,699,383,677,958,329,766,092,834,067,042,956,878,633,162,658,
834,706,796,846,100,656,686,261,389,620,475,492,592,622,284,754,416,145,452,
424,970,447,870,361,518,804,652,590,755,701,599,799,765,455,891,099,036,894,
621,872,709,105,520,150,387,569,436,127,852,234,642,606,186,313,319,940,524,
026,587,744,802,640,784,309,304,326,035,479,631,825,430,920,081,420,294,319,
553,255,472,604,761,402,782,337,357,440,353,807,648,573,696,935,709,839,750,
884,057,419,999,981,634,775,169,472,971,984,656,572,507,906,837,171,730,142,
032,042,780,183,301,515,778,613,550,001,251,550,828,754,245,399,122,636,408,
259,074,743,351,954,569,155,837,054,923,899,733,384,869,006,535,209,766,816,
645,420,963,475,078,513,077,549,923,024,485,111,762,316,478,799,514,447,562,
517,627,182,521,880,343,403,452,321,721,224,082,817,574,871,357,274,462,745,
967,265,399,044,295,812,020,883,210,981,744,682,673,224,776,401,256,784,607,
554,363,348,621,297,905,847,719,352,385,814,533,727,828,579,976,421,164,515,
876,114,605,353,239,855,912,216,896,602,481,607,232,420,609,262,404,244,993,
498,152,982,322,497,355,268,938,292,120,337,078,204,016,351,605,335,707,145,
041,007,650,496,520,216,993,437,484,893,324,730,250,476,315,832,767,535,646,
021,510,986,342,915,304,505,084,018,285,932,604,875,747,649,664,964,436,448,
998,384,988,721,752,617,456,355,224,684,021,570,919,225,567,204,521,235,917,
280,366,577,319,467,059,181,855,659,265,724,185,779,644,860,311,637,099,019,
546,351,875,084,725,978,547,757,718,329,932,030,157,132,340,137,437,794,336,
997,193,214,272,301,620,471,568,588,306,221,627,284,693,163,750,846,944,177,
228,807,156,680,315,618,581,614,076,428,068,461,550,558,699,932,407,101,264,
741,532,970,192,065,948,109,170,849,196,285,692,660,372,279,886,407,488,806,
457,940,726,272,378,014,260,357,412,316,932,633,858,749,478,340,330,515,072,
635,773,320,245,323,053,457,443,376,003,499,544,037,622,559,630,228,443,211,
388,530,498,126,920,403,400,884,711,048,547,092,282,379,127,500,533,187,387,
095,628,261,603,070,557,576,200,249,925,346,569,440,733,114,395,205,143,113,
039,434,682,682,479,972,451,121,177,953,915,088,929,135,916,877,946,338,540,
145,878,818,833,656,856,198,729,784,546,664,743,874,701,273,708,489,858,645,
571,831,895,893,231,069,980,757,086,710,969,654,561,225,065,111,899,644,427,
258,305,562,851,315,138,444,194,579,472,704,080,396,038,797,684,928,501,741,
167,475,556,905,667,874,355,788,574,331,029,721,221,307,405,615,659,373,355,
584,512,514,061,609,992,218,381,563,062,146,538,412,244,676,375,489,969,533,
608,315,516,999,074,017,511,447,384,927,118,169,181,346,169,553,085,801,686,
098,603,285,035,370,661,675,960,408,113,488,179,481,983,969,277,002,433,239,
542,699,463,963,625,358,220,835,361,291,572,696,958,651,969,995,449,881,420,
034,079,244,791,030,778,190,871,610,900,434,944,339,365,779,391,297,045,602,
172,166,166,783,070,135,627,684,768,263,953,120,310,456,949,109,411,540,801,
065,000,726,657,628,310,475,636,077,143,409,331,884,307,426,427,011,900,266,
437,886,853,391,992,470,733,746,485,136,941,136,705,351,246,114,768,668,484,
353,712,190,467,418,526,474,706,981,104,168,308,719,882,689,384,771,757,257,
700,133,747,434,013,606,716,954,141,368,859,059,985,248,269,130,936,837,161,
063,386,594,753,284,967,906,036,610,264,247,838,276,459,362,350,710,053,826,
577,458,408,906,397,911,635,989,011,239,485,307,326,015,580,033,822,530,147,
949,657,274,392,038,678,114,659,133,365,765,542,841,922,271,905,875,166,142,
990,864,266,877,168,690,101,286,956,862,804,927,789,196,135,798,393,011,097,
411,622,577,589,068,256,406,408,208,790,427,247,927,532,679,726,123,183,204,
516,854,004,063,032,413,535,060,353,952,670,504,595,511,615,591,058,748,306,
463,434,322,471,117,091,198,334,391,654,267,149,864,999,873,659,861,317,052,
532,085,825,979,011,564,115,883,886,697,765,667,986,640,609,132,043,777,482,
547,042,183,814,024,278,764,670,332,813,083,971,743,634,063,255,011,592,992,
732,815,903,731,491,669,383,296,670,652,628,633,707,060,319,613,530,944,628,
806,579,377,313,635,561,061,029,317,967,117,071,778,509,980,266,396,849,859,
832,890,681,634,986,707,206,932,783,775,339,162,872,637,625,122,177,726,975,
387,125,578,252,788,176,961,553,944,892,915,961,363,933,650,802,965,070,915,
229,138,529,085,523,825,504,333,305,573,176,189,099,527,998,190,641,073,524,
180,897,919,585,430,828,514,857,149,412,169,441,763,603,352,405,844,653,804,
113,273,629,042,504,922,801,489,009,713,078,268,386,455,680,691,497,504,908,
234,415,046,190,042,381,529,600,014,462,824,151,858,824,793,180,458,531,673,
416,947,460,195,723,437,591,425,640,848,024,210,774,036,930,499,338,869,034,
871,005,189,961,426,580,344,545,370,276,739,988,942,014,609,075,367,460,481,
273,758,078,055,879,700,394,192,578,815,161,887,526,260,512,142,173,736,574,
430,249,420,554,073,838,510,361,886,130,743,041,623,495,616,229,006,454,544,
091,010,890,710,232,528,538,518,702,040,719,379,277,501,904,211,048,309,565,
069,301,875,718,188,038,896,389,673,891,177,483,453,101,092,754,425,303,937,
569,441,939,638,228,341,941,123,834,491,824,812,413,528,086,340,408,454,449,
191,706,210,924,717,603,016,273,752,397,158,542,081,024,969,588,732,693,732,
676,141,961,400,127,190,991,773,052,764,461,333,060,452,933,324,535,470,927,
997,917,671,901,139,066,909,674,969,998,491,854,266,086,586,025,278,831,556,
090,699,089,558,358,327,472,012,275,277,616,987,434,957,862,268,065,325,189,
762,321,592,886,237,725,087,681,069,802,248,740,926,444,509,827,584,396,926,
032,071,796,970,222,219,644,181,741,565,968,125,979,012,343,153,962,017,549,
195,660,356,350,283,385,617,707,477,907,998,529,908,896,741,806,922,213,107,
979,015,643,486,698,205,039,043,106,906,184,327,743,318,881,761,853,652,717,
279,523,643,248,393,686,024,900,806,593,789,280,210,567,222,839,725,477,345,
095,977,988,939,419,778,445,987,853,956,212,503,851,009,792,992,364,040,722,
589,128,981,107,860,429,953,987,155,835,875,779,128,414,207,410,032,303,500,
581,613,381,060,363,861,959,004,985,267,765,756,816,552,930,918,665,616,620,
726,094,794,026,393,105,620,625,679,226,897,542,292,037,816,023,110,483,497,
962,624,830,814,983,093,887,426,864,599,092,361,161,885,226,983,851,746,319,
132,033,815,081,392,157,648,715,982,609,935,296,710,070,730,783,060,926,697,
365,595,786,391,642,611,769,668,866,305,737,244,197,179,576,906,283,269,007,
511,988,804,947,040,548,385,327,888,894,749,446,175,999,221,923,179,230,099,
575,350,956,591,645,991,727,894,757,463,368,953,780,296,503,628,365,562,539,
583,557,744,560,888,460,184,887,981,860,402,387,890,622,355,821,293,831,740,
470,357,203,036,891,231,846,873,160,081,820,717,138,930,005,466,144,906,741,
670,230,782,758,649,313,212,933,922,051,988,378,635,166,952,302,775,567,033,
744,885,947,057,426,319,948,598,172,954,719,552,844,669,598,770,162,212,869,
855,601,655,249,928,963,177,454,137,723,228,322,205,057,687,626,444,849,159,
385,178,361,382,087,631,829,235,710,875,239,319,227,850,990,085,580,751,377,
663,269,966,736,699,662,710,754,919,677,835,731,265,667,062,612,266,346,733,
395,292,930,720,733,512,929,025,172,536,690,588,551,082,852,083,324,481,535,
438,110,770,020,497,997,086,077,334,578,404,159,912,070,576,425,090,122,767,
734,197,188,814,333,254,391,141,556,890,532,960,871,777,306,862,828,331,647,
568,654,518,221,798,582,529,320,129,231,787,092,011,209,010,158,530,426,209,
881,170,920,416,594,091,039,623,322,614,319,937,885,654,580,297,905,260,263,
669,607,373,057,474,856,393,575,513,930,618,633,232,567,020,335,692,968,218,
903,527,456,331,389,465,117,953,885,406,018,047,212,459,565,965,900,227,637,
045,957,313,644,195,358,794,089,457,908,702,207,792,656,129,397,968,009,313,
249,436,619,959,126,875,112,924,686,202,662,344,876,217,096,605,537,260,890,
883,839,060,106,609,501,210,129,920,656,837,642,921,740,019,863,798,723,359,
610,564,468,465,973,588,636,078,559,917,197,719,649,506,126,277,832,923,617,
141,690,246,549,879,506,543,208,331,954,449,977,079,276,672,848,818,737,626,
031,417,208,752,925,019,979,620,723,932,740,678,748,693,745,461,965,037,356,
072,107,261,774,002,514,103,195,327,597,960,401,926,992,452,224,552,242,499,
056,114,970,525,879,181,475,778,872,494,795,046,767,256,515,472,054,936,639,
967,018,951,659,820,330,924,596,111,471,015,834,252,877,892,622,234,599,070,
281,106,258,817,884,183,517,761,443,916,241,722,958,570,522,772,444,899,131,
709,464,604,093,373,432,084,988,103,400,868,588,943,991,903,188,069,956,303,
993,614,346,008,395,586,404,431,279,760,059,842,449,857,485,980,134,136,674,
118,305,613,303,369,047,339,173,152,988,839,730,211,845,932,200,862,791,687,
133,789,001,240,655,264,541,130,432,977,554,313,940,032,917,014,173,113,038,
151,083,920,336,233,675,989,821,107,535,964,905,857,182,065,789,667,232,437,
181,243,684,551,756,499,232,592,290,835,672,918,865,839,073,366,146,234,417,
045,915,369,578,605,268,236,950,480,722,000,671,604,119,077,482,076,726,021,
324,024,143,877,004,461,616,538,118,298,714,334,982,776,683,494,440,605,801,
136,172,020,525,217,193,013,099,708,083,052,886,637,757,381,670,198,786,764,
816,099,004,342,594,910,220,520,407,721,430,351,555,833,573,917,616,260,777,
061,782,358,387,181,599,829,094,097,460,193,015,877,333,310,150,029,522,469,
791,129,462,793,503,901,983,351,045,655,200,310,623,902,872,219,962,055,637,
512,054,769,434,893,833,928,473,146,129,152,904,792,399,469,767,226,057,807,
865,520,232,996,259,683,777,206,865,517,960,362,389,406,575,388,943,812,269,
424,378,274,171,510,903,295,582,101,470,754,561,320,889,554,948,374,933,951,
244,802,791,929,165,488,249,970,116,618,542,567,390,941,638,597,965,708,583,
290,959,167,170,812,647,287,199,956,811,670,482,377,591,806,128,319,109,078,
799,546,855,276,598,952,535,140,945,581,687,773,437,902,998,246,521,955,116,
060,904,653,158,649,686,196,648,125,218,474,919,632,252,721,730,686,464,451,
724,059,754,768,278,375,570,763,251,687,331,427,597,627,805,852,918,094,072,
049,654,568,027,084,361,511,533,761,747,869,431,158,069,569,096,656,353,197,
822,998,483,042,548,889,057,563,219,578,935,374,486,266,441,635,379,260,800,
500,257,067,977,042,122,411,928,220,515,250,747,024,106,164,755,309,469,417,
644,792,503,925,814,005,342,844,702,042,859,107,601,922,462,074,075,023,836,
795,136,456,367,920,110,218,246,855,907,759,426,210,774,000,326,560,411,345,
899,848,533,336,580,295,076,554,759,709,958,577,718,702,591,514,099,574,001,
435,726,055,012,074,668,419,062,820,666,014,782,454,129,292,546,506,247,341,
825,509,069,405,361,663,326,044,753,045,689,303,943,711,869,368,572,670,079,
683,828,290,114,642,607,745,950,710,718,386,707,677,195,384,119,140,943,911,
047,701,831,008,635,172,970,799,560,753,409,911,258,348,591,927,906,488,327,
459,754,084,044,636,466,052,773,570,935,085,862,149,128,480,410,707,529,644,
617,149,089,412,634,103,048,501,784,431,184,882,480,938,963,884,088,199,334,
728,545,794,711,709,356,250,041,976,063,865,779,605,598,318,670,391,463,418,
647,372,126,569,993,493,203,176,555,008,692,382,873,439,776,470,140,423,285,
648,696,549,842,196,491,836,788,700,768,345,425,498,716,788,190,036,429,461,
591,049,930,731,681,158,270,539,707,688,236,680,167,554,882,419,450,567,955,
351,865,795,000,337,964,213,047,910,197,391,455,430,998,642,085,366,593,509,
299,997,815,746,072,877,057,250,333,469,334,801,444,577,418,871,034,012,213,
455,783,639,061,657,613,264,189,853,148,189,709,800,639,168,339,236,811,442,
345,647,041,265,527,817,065,358,368,551,834,602,318,756,024,401,077,453,088,
346,847,945,196,595,563,345,141,578,866,028,144,507,597,515,144,998,646,402,
089,392,863,027,933,483,790,341,299,145,332,793,186,198,612,053,773,457,191,
744,408,433,082,415,717,757,843,607,375,058,180,583,926,478,126,128,718,293,
183,465,033,882,010,438,047,963,759,686,669,362,468,054,706,644,285,616,897,
959,446,656,882,572,874,603,361,546,215,263,601,708,088,417,426,231,325,572,
243,264,743,082,115,191,303,750,123,555,750,287,174,032,495,241,912,017,635,
780,256,751,916,367,812,310,430,505,264,224,262,523,322,983,101,306,327,750,
933,723,811,533,525,436,712,016,014,074,709,979,585,346,609,601,744,564,257,
540,529,111,254,963,699,876,806,008,740,220,280,080,674,402,643,796,579,185,
558,268,964,277,750,872,842,599,929,314,850,027,492,327,260,441,271,798,374,
959,840,216,742,887,014,665,373,152,599,101,611,571,853,150,558,737,704,494,
198,706,378,059,264,065,083,578,980,527,843,367,004,526,279,834,894,800,145,
822,281,927,354,300,029,122,786,702,579,138,341,653,791,602,410,599,969,089,
491,170,294,186,631,746,562,505,911,893,897,048,144,290,753,270,171,859,328,
084,636,996,334,214,260,728,613,394,728,318,200,763,026,774,507,113,298,324,
223,638,144,998,069,139,044,448,588,250,275,740,169,592,515,166,722,478,724,
928,338,366,007,335,961,068,884,137,838,916,978,278,296,203,501,871,522,732,
116,285,131,732,044,642,000,230,618,656,481,587,972,400,014,480,267,891,091,
616,742,304,143,245,613,314,687,346,497,878,792,921,960,905,845,010,826,133,
976,439,991,074,832,244,147,022,336,181,360,943,540,193,047,957,039,607,509,
324,373,364,851,815,978,176,770,166,237,634,320,161,904,870,580,244,079,731,
860,714,915,557,509,870,650,102,776,164,759,139,708,838,190,887,469,888,195,
321,153,128,863,186,906,525,652,133,108,078,290,038,632,226,214,985,901,575,
154,367,808,605,629,784,333,839,577,597,774,290,118,392,883,923,871,170,599,
761,418,373,411,180,811,930,900,756,654,716,049,578,591,732,604,621,395,277,
436,864,643,802,832,207,967,284,651,106,316,905,131,040,295,406,697,619,240,
315,014,093,431,893,185,037,535,295,966,310,276,230,437,857,104,269,476,663,
170,810,199,377,404,693,665,077,405,650,809,816,053,471,044,642,802,229,524,
793,810,613,879,677,820,538,018,360,124,277,954,294,795,877,136,004,505,708,
915,423,032,237,429,591,577,853,303,380,057,362,146,432,289,796,485,321,478,
932,557,047,054,588,802,123,400,234,659,927,811,140,578,096,884,254,716,827,
798,547,872,674,922,660,565,424,746,325,599,856,202,254,292,769,978,278,299,
648,743,654,401,141,592,376,813,168,365,026,072,044,161,173,082,504,608,998,
711,560,318,591,715,183,596,551,500,553,045,861,496,807,788,253,012,185,506,
229,396,759,664,864,826,649,167,917,652,172,566,402,286,225,566,577,126,411,
235,828,251,771,036,430,110,649,068,052,458,694,746,797,268,436,414,214,208,
662,567,007,320,966,722,425,659,084,534,382,744,186,986,094,279,124,967,206,
364,305,236,343,696,375,319,583,263,725,395,018,678,142,091,705,539,151,126,
016,108,954,631,623,498,840,138,458,001,880,590,212,523,326,078,655,647,085,
444,764,317,416,900,299,101,717,826,345,054,883,228,141,373,283,791,875,648,
625,855,580,848,568,261,681,575,007,531,856,258,266,278,800,682,821,145,658,
635,442,126,099,589,804,069,311,261,229,209,952,919,813,459,000,387,079,826,
851,580,297,357,266,850,848,333,119,463,808,698,418,510,894,057,228,680,401,
276,587,379,808,119,052,875,395,843,244,245,430,065,884,041,805,762,305,178,
197,161,267,353,594,049,607,799,579,616,768,843,309,875,709,774,687,167,514,
308,683,836,021,124,306,453,307,119,807,893,917,097,209,028,359,258,288,502,
920,657,975,081,704,190,429,337,737,622,857,853,813,437,800,239,274,131,623,
163,962,819,448,488,497,975,246,309,969,586,204,409,717,958,686,060,590,299,
794,093,926,268,312,842,274,596,291,767,488,130,049,164,865,438,214,271,205,
801,570,726,096,017,071,789,228,247,397,520,642,646,586,597,269,037,075,191,
133,006,808,448,245,990,750,607,415,846,154,581,503,542,168,806,345,009,086,
143,234,562,901,398,272,479,294,570,984,915,696,692,849,815,527,350,678,748,
258,194,699,949,514,810,703,036,245,051,409,508,387,968,829,522,736,334,953,
259,023,079,432,924,683,257,927,769,173,285,490,242,044,142,331,426,322,772,
733,417,239,308,529,690,916,601,228,752,748,149,422,498,188,451,781,163,781,
579,643,106,459,725,194,345,414,690,934,911,315,099,690,534,026,964,499,997,
089,058,518,268,439,829,344,228,735,518,676,527,679,506,513,674,845,323,284,
370,665,770,118,061,612,937,526,117,941,261,931,362,734,753,445,665,176,825,
033,959,611,675,861,742,829,439,949,631,245,303,160,252,231,924,266,020,669,
571,369,130,997,768,897,395,859,186,730,288,157,405,356,739,095,798,078,332,
776,473,849,722,114,708,491,334,285,089,809,317,109,479,981,738,245,819,036,
837,279,369,645,557,769,371,416,837,381,628,784,323,712,569,993,477,400,313,
199,408,339,104,259,719,483,153,966,277,831,877,921,631,326,570,880,000,156,
453,151,906,401,241,888,171,682,785,605,915,107,872,534,779,806,895,849,287,
163,384,976,573,636,599,837,526,608,369,020,351,529,069,065,043,579,308,340,
742,731,794,911,453,285,972,350,763,348,712,701,038,893,263,708,915,934,909,
209,937,807,577,710,903,180,937,225,370,368,121,638,800,095,395,201,300,309,
057,973,700,120,303,709,360,185,269,385,611,704,631,404,807,656,227,646,056,
464,065,351,271,908,242,157,699,813,407,959,386,457,812,135,611,339,509,515,
835,464,236,074,065,909,035,499,055,112,404,334,844,851,082,082,884,836,478,
178,614,926,790,585,050,091,781,136,824,600,660,205,752,183,679,285,590,461,
702,422,125,342,227,515,959,817,142,041,076,038,261,716,825,162,688,141,929,
377,350,932,759,657,415,635,422,498,974,201,200,378,516,133,355,187,658,898,
923,099,613,543,543,474,544,642,783,833,207,229,228,344,029,625,236,292,086,
177,682,956,790,459,939,952,936,175,150,414,504,381,181,127,636,038,984,016,
337,441,174,001,212,464,239,111,029,760,468,492,923,970,803,708,672,015,934,
959,901,473,076,719,690,565,771,093,974,419,254,336,786,112,002,421,654,598,
791,850,229,600,668,787,973,356,646,606,854,545,786,433,428,152,848,337,881,
565,207,476,230,371,807,344,682,855,877,551,162,353,090,006,736,918,596,910,
738,373,253,598,318,180,396,717,465,183,567,554,253,476,248,627,032,789,229,
703,863,823,973,295,634,551,808,467,454,050,937,628,142,228,627,379,181,381,
218,323,418,507,031,872,330,173,241,594,974,890,671,814,078,148,751,009,508,
265,258,256,896,830,113,581,520,940,781,687,190,996,312,756,976,535,844,368,
285,258,483,877,564,999,367,949,887,711,534,982,635,897,749,905,560,925,432,
294,226,897,781,644,333,243,074,632,929,492,513,416,275,773,963,830,921,156,
758,667,853,297,997,641,318,748,248,525,175,319,206,969,017,739,092,004,226,
138,403,036,146,651,029,390,656,289,221,974,481,291,814,630,803,750,757,178,
688,294,227,559,922,710,875,115,633,272,437,192,848,721,037,414,107,886,711,
812,455,034,660,830,522,403,927,297,464,863,689,944,704,997,753,457,008,243,
343,205,632,823,174,925,750,215,165,626,889,085,185,519,597,361,089,632,672,
153,842,807,879,691,422,940,995,574,980,295,596,825,243,429,136,706,778,228,
598,991,236,733,399,978,736,719,405,507,785,837,639,826,024,301,003,326,300,
884,570,223,114,848,429,267,736,881,995,050,728,338,737,085,157,535,910,217,
655,342,357,723,479,289,141,358,811,412,305,479,122,970,679,078,325,860,468,
302,660,427,616,606,810,297,519,551,563,528,017,715,745,453,085,283,853,321,
342,695,397,806,654,635,068,287,587,174,653,290,312,455,972,908,272,379,257,
987,450,104,589,224,935,245,420,946,861,681,082,121,914,938,938,539,497,350,
049,008,831,597,280,643,646,198,898,979,711,698,264,876,255,757,848,042,977,
211,527,419,449,167,133,554,963,111,270,392,472,716,988,058,062,927,490,696,
354,068,614,587,306,079,307,382,258,882,125,265,025,190,201,603,696,116,898,
086,257,830,578,935,763,902,138,470,211,919,523,728,744,599,634,392,721,374,
135,554,361,014,799,430,930,560,894,364,670,219,205,972,216,617,607,264,864,
555,199,186,573,854,914,244,883,038,704,882,288,911,909,596,075,667,851,041,
570,798,087,795,684,546,804,945,645,216,058,162,838,985,572,304,076,456,431,
140,631,357,094,608,719,831,486,047,623,202,663,564,115,450,414,222,061,755,
042,900,320,174,275,445,440,039,389,092,881,328,883,430,675,143,298,571,516,
137,387,822,500,308,437,993,375,577,306,516,644,120,986,196,028,864,660,334,
025,356,682,508,359,449,582,182,503,239,210,950,115,498,307,009,433,058,876,
287,516,919,465,487,825,152,737,439,249,028,784,936,277,671,287,883,896,810,
565,812,492,386,286,436,002,678,736,443,994,704,337,398,670,024,375,853,153,
737,948,015,381,445,637,082,323,446,003,024,451,004,520,181,772,573,474,477,
784,649,619,501,911,388,835,562,877,898,993,421,210,151,659,543,728,834,613,
601,636,853,466,877,504,061,185,177,832,940,570,195,208,560,320,787,373,097,
041,202,289,332,949,855,651,656,801,606,400,298,756,509,784,274,347,098,059,
227,650,891,761,374,056,977,836,608,072,056,833,910,609,399,483,564,576,685,
378,196,132,681,607,091,978,066,103,834,773,473,519,400,982,332,677,604,815,
899,177,938,168,525,794,323,007,142,293,381,636,269,279,875,862,300,624,721,
001,146,673,863,229,035,451,181,619,265,650,657,358,624,560,320,365,082,077,
600,253,638,543,413,647,733,765,828,074,745,718,265,587,443,217,008,264,782,
881,743,978,796,428,366,108,090,130,418,602,553,040,543,899,498,113,103,260,
249,433,592,121,821,154,768,866,031,075,426,545,867,562,084,269,037,383,961,
889,575,682,205,169,405,072,928,669,359,246,950,547,056,421,472,789,699,040,
951,267,144,259,073,227,637,760,928,105,954,462,097,670,729,598,100,436,401,
886,080,268,964,645,365,284,928,548,001,069,879,788,349,678,276,155,452,595,
728,805,237,845,376,245,399,636,566,284,018,025,713,797,146,197,171,283,626,
260,626,525,359,594,150,598,902,587,661,657,645,199,468,516,584,877,397,337,
176,274,551,794,624,634,911,242,113,270,338,931,911,052,033,759,332,575,181,
831,329,940,418,137,285,028,548,991,676,480,185,709,476,443,877,750,217,265,
808,483,460,871,339,548,930,287,202,475,914,562,777,048,004,451,389,998,106,
161,925,656,541,031,240,692,601,839,590,844,925,206,032,260,086,467,515,472,
513,927,317,475,391,236,460,756,241,577,634,609,332,931,775,862,230,706,747,
173,535,409,469,785,210,721,615,695,641,290,690,309,950,757,900,343,297,561,
361,042,096,155,918,067,836,277,120,457,426,665,895,587,701,470,093,693,476,
453,894,315,593,934,994,322,080,714,001,604,261,518,665,598,481,071,455,684,
087,772,384,105,938,926,926,220,027,665,838,827,168,354,651,723,896,534,214,
689,791,393,233,311,257,839,712,636,367,457,260,868,562,960,592,890,000,532,
536,249,046,843,487,513,588,210,724,310,115,482,841,757,349,264,537,010,395,
934,241,319,322,981,971,677,385,863,957,617,418,304,236,566,835,386,499,860,
802,311,464,169,246,862,869,575,874,844,977,686,506,626,494,922,639,844,451,
189,781,876,354,084,303,106,162,406,374,788,892,129,366,362,198,165,538,828,
173,477,731,468,238,227,313,190,395,637,272,690,501,809,325,486,654,118,888,
855,293,628,464,111,903,479,520,514,178,150,869,824,965,410,763,115,179,208,
236,869,995,996,094,317,676,108,409,320,035,757,851,633,115,783,882,370,631,
309,531,488,505,333,176,825,717,909,435,411,176,332,472,625,322,170,673,108,
232,902,695,482,103,151,259,081,069,824,574,333,584,039,968,401,010,290,978,
618,367,952,762,082,524,392,399,643,788,040,863,268,942,996,162,220,349,466,
019,678,956,957,029,653,822,224,915,966,025,986,416,157,859,270,633,679,274,
855,600,561,826,105,900,234,702,764,871,037,669,441,623,934,867,793,499,009,
750,315,172,899,934,816,417,620,887,366,827,874,122,196,469,113,962,859,181,
146,205,079,988,332,064,305,295,225,787,381,486,860,219,658,146,386,855,750,
583,046,994,361,014,240,279,466,811,728,773,231,196,138,371,855,020,456,942,
852,553,016,851,837,233,761,554,899,729,466,600,420,512,455,926,479,477,691,
796,680,002,480,936,849,886,006,701,847,506,656,355,859,783,893,577,897,947,
685,592,513,183,164,297,057,847,252,657,063,484,046,093,729,944,091,279,423,
353,428,631,983,677,440,802,313,066,591,468,281,612,685,035,389,804,596,288,
381,059,180,359,426,335,109,034,011,017,107,858,130,940,004,118,369,170,802,
976,879,526,053,048,072,769,502,240,269,775,462,489,755,354,709,368,785,210,
966,098,053,864,606,419,588,318,704,640,557,612,718,805,197,530,322,411,214,
718,487,860,876,264,019,030,011,613,489,404,951,028,121,474,357,027,955,340,
106,187,284,561,108,239,575,859,273,215,901,824,824,784,973,437,798,100,253,
511,566,088,215,418,724,941,898,662,989,314,237,869,705,515,813,073,600,480,
644,237,350,873,820,245,559,638,293,306,984,290,909,180,279,436,407,645,739,
194,522,204,783,471,016,876,900,985,378,441,783,396,419,949,970,468,886,902,
508,206,817,121,977,301,634,445,411,707,663,348,558,048,073,682,180,060,375,
565,053,348,420,309,550,654,956,079,923,163,529,408,286,928,821,035,549,015,
927,177,677,814,863,714,751,707,302,607,650,680,719,804,157,783,881,597,198,
369,256,641,648,565,147,991,749,181,132,991,738,519,941,902,122,658,451,383,
687,242,480,017,277,667,545,914,526,789,624,603,621,516,980,082,355,200,695,
126,119,173,239,234,683,304,386,438,489,678,581,366,272,564,278,173,447,634,
819,066,337,432,095,986,077,542,360,191,515,643,593,910,121,734,775,973,256,
386,143,893,675,937,119,461,476,322,956,763,361,548,109,303,930,018,251,218,
830,518,518,530,807,670,983,314,921,743,505,947,399,224,441,947,430,029,232,
945,890,559,329,583,873,035,450,745,770,908,063,941,900,170,773,306,911,461,
500,199,382,215,928,789,174,686,801,238,146,980,620,512,071,686,768,305,891,
293,814,365,153,833,958,113,814,951,546,919,980,952,177,832,379,217,268,382,
779,797,297,659,579,462,772,432,312,626,416,207,097,502,765,975,311,726,415,
172,707,791,943,988,374,216,913,684,061,763,974,945,368,094,758,533,755,869,
844,072,002,305,607,151,656,308,304,576,824,872,505,287,566,045,510,183,397,
985,845,653,566,382,842,157,472,296,647,192,658,769,796,668,604,960,064,538,
030,306,037,782,414,059,755,095,696,792,357,991,963,789,719,190,550,226,475,
265,540,869,176,041,658,765,350,469,652,676,476,041,782,243,375,228,247,413,
380,079,182,212,583,863,721,605,059,703,016,373,999,302,856,100,285,185,508,
653,560,264,477,206,754,640,289,383,922,079,132,220,678,314,147,586,863,768,
601,251,024,800,484,153,305,968,059,692,675,095,393,463,073,695,989,392,021,
146,610,319,419,888,001,698,988,204,518,114,253,688,296,326,273,657,380,078,
190,374,728,369,757,702,872,086,579,832,473,025,181,049,338,834,106,011,084,
128,017,995,116,401,588,276,069,088,795,130,379,815,692,522,248,215,201,545,
087,015,532,473,298,718,578,380,453,315,490,127,243,581,811,688,881,144,993,
023,718,337,085,863,870,254,055,485,261,283,801,785,273,858,335,526,313,125,
400,106,261,790,696,344,497,073,466,810,922,676,146,251,207,115,654,188,744,
182,984,311,896,966,412,045,832,113,787,801,884,638,837,440,424,981,121,202,
405,087,383,695,529,805,153,050,864,241,541,329,584,536,350,182,246,020,331,
356,639,496,890,087,245,871,920,242,153,606,673,790,829,754,213,049,261,985,
048,248,115,257,282,382,653,993,210,540,931,231,324,382,891,263,246,542,353,
018,444,457,745,336,203,081,471,192,972,761,067,248,693,665,522,846,568,475,
529,676,362,802,485,765,689,921,647,979,861,416,504,448,676,877,731,871,311,
274,769,327,729,754,410,310,194,291,307,046,358,011,212,388,679,699,086,781,
845,808,514,382,206,665,173,873,999,165,081,926,339,673,257,858,443,881,660,
795,112,545,993,717,024,997,725,555,999,901,096,121,772,323,395,564,195,651,
070,960,000,356,854,198,860,508,297,419,070,790,403,944,046,903,283,969,150,
960,934,246,098,042,239,290,377,023,984,380,076,705,652,884,829,855,477,336,
944,667,080,153,717,452,803,481,213,927,540,601,478,205,490,381,431,585,578,
435,617,376,560,115,615,345,461,558,884,487,299,233,389,962,975,460,124,520,
144,531,621,994,297,955,310,397,384,568,570,262,889,818,571,680,919,802,474,
055,172,933,100,000,844,966,407,808,946,249,613,395,854,697,970,313,187,155,
592,584,424,087,370,394,317,122,880,908,506,266,954,670,279,017,033,533,888,
414,577,307,605,166,062,540,131,394,437,741,866,631,459,898,321,971,685,673,
906,639,534,414,824,188,429,586,797,830,820,404,311,835,956,468,241,873,147,
347,035,230,653,265,174,749,332,855,356,632,419,390,810,025,904,964,225,408,
879,154,174,621,622,327,988,914,140,314,658,272,694,894,258,945,782,828,927,
012,670,838,400,750,571,656,013,794,071,939,022,144,222,876,649,769,833,641,
330,792,715,695,896,235,592,000,892,140,498,026,751,386,604,649,704,432,111,
205,395,643,353,350,803,146,824,292,391,752,213,958,346,082,533,797,846,610,
077,364,434,939,930,071,625,641,685,371,492,172,253,955,781,428,507,121,638,
887,930,734,768,898,279,983,373,357,245,663,611,709,778,133,247,072,674,685,
919,364,767,330,326,649,665,868,034,407,702,352,740,214,673,760,711,652,501,
487,369,710,205,989,123,075,162,212,116,902,353,821,650,687,792,171,528,665,
970,024,664,837,932,698,607,991,616,749,562,781,945,933,743,262,991,259,765,
842,178,918,152,270,062,703,081,653,756,593,163,132,036,063,808,556,750,709,
501,015,133,386,248,433,672,982,032,411,519,084,054,529,516,202,973,698,034,
942,813,896,355,990,768,182,817,238,731,650,901,371,981,849,958,936,070,594,
335,983,272,247,126,685,908,716,337,035,212,880,782,085,241,326,151,831,198,
087,434,343,425,059,610,945,276,596,560,698,681,535,624,479,388,374,857,469,
920,176,849,291,397,073,299,717,207,023,595,093,747,898,325,690,448,736,771,
578,887,876,582,410,291,930,232,754,239,999,557,363,523,221,840,535,954,999,
133,668,597,773,008,786,864,776,786,389,738,123,508,199,192,169,443,559,061,
339,523,828,841,213,108,915,110,733,515,246,535,387,102,328,103,386,463,317,
796,698,141,415,897,208,498,172,973,526,637,842,519,676,220,350,659,056,318,
600,355,253,175,340,893,837,595,359,707,518,132,096,898,132,995,958,654,441,
435,630,442,832,310,273,529,597,612,707,629,583,078,752,935,694,148,422,558,
693,351,737,430,154,496,575,218,427,984,339,820,002,681,078,925,267,150,151,
350,358,462,286,857,712,465,712,394,650,088,885,087,921,477,887,346,998,542,
182,126,184,503,211,477,728,623,122,825,755,838,511,018,560,596,525,627,948,
982,021,032,761,968,698,956,023,905,974,495,553,024,755,792,851,783,251,048,
968,887,740,156,079,472,668,800,680,340,573,765,610,704,491,069,613,095,589,
147,226,301,134,817,904,305,436,286,330,387,189,720,015,554,623,314,128,130,
011,901,508,551,936,572,657,516,378,389,049,621,941,637,331,048,371,456,164,
510,495,466,810,739,148,055,022,878,417,307,341,503,960,572,508,619,594,911,
911,476,876,903,121,153,233,228,994,390,099,507,648,135,654,598,579,922,126,
379,212,109,820,041,544,611,779,464,452,850,451,449,714,040,394,699,035,212,
720,637,009,360,351,387,283,074,096,938,380,663,946,882,182,691,053,681,064,
478,348,279,683,593,875,770,954,993,222,769,009,559,092,116,813,508,756,518,
697,106,559,404,601,682,914,671,402,883,415,675,282,413,357,638,873,219,063,
256,538,696,633,906,946,122,748,845,577,924,737,630,706,588,477,395,563,191,
658,583,044,068,942,906,732,847,737,004,135,801,102,496,073,828,506,972,779,
962,902,635,214,537,465,953,924,099,439,925,725,844,379,456,211,672,127,956,
726,740,886,938,368,909,589,338,997,691,103,588,454,416,086,876,392,175,274,
007,347,368,647,595,651,982,721,887,610,426,357,359,333,410,092,869,157,131,
361,615,824,220,710,300,213,128,779,449,909,410,876,060,756,963,784,376,218,
818,182,510,816,035,309,500,258,891,462,445,098,108,732,650,758,809,601,382,
583,467,686,088,438,452,553,163,821,214,860,995,102,716,924,283,503,578,978,
202,132,813,201,075,176,369,887,704,123,981,338,168,092,827,200,913,135,732,
341,386,756,725,511,602,531,047,081,179,333,242,348,238,098,728,170,520,046,
964,657,290,936,733,738,556,421,836,860,211,804,550,141,801,954,329,219,540,
008,231,479,809,049,561,195,191,730,745,967,856,692,712,332,479,137,394,495,
896,498,534,022,904,743,118,518,910,891,040,425,725,082,775,324,957,639,156,
158,751,706,223,394,509,474,482,522,474,007,980,100,052,335,151,278,415,368,
024,208,349,407,393,426,536,893,314,618,258,745,660,716,137,079,018,633,519,
398,162,054,986,499,448,198,870,312,543,428,324,916,211,581,535,042,418,077,
433,556,788,663,800,402,584,853,801,443,945,508,515,336,760,881,374,839,922,
825,421,616,529,413,279,323,107,651,296,978,596,754,415,531,255,984,909,808,
885,037,669,069,790,343,028,009,117,419,816,540,849,193,415,618,402,715,055,
286,591,399,412,111,569,082,568,903,287,117,958,522,465,090,949,944,515,381,
957,347,811,747,390,443,900,139,223,670,781,004,950,377,692,068,992,180,693,
056,034,097,280,786,976,098,629,771,504,765,111,501,541,621,054,794,639,758,
364,248,185,287,221,215,455,886,017,199,199,080,406,777,625,881,250,534,896,
572,842,687,608,511,593,284,161,331,453,676,470,016,252,907,622,942,538,232,
636,826,566,153,260,765,779,610,099,483,286,863,818,008,319,084,361,631,838,
128,874,731,885,765,768,996,042,528,481,490,862,343,251,739,477,244,599,195,
078,562,768,889,060,007,001,876,027,938,215,316,464,183,490,069,385,489,226,
248,048,286,922,326,609,469,204,297,632,624,977,062,867,182,197,115,840,440,
447,819,437,558,690,742,658,729,828,127,338,256,953,070,142,353,634,928,201,
417,632,594,362,803,680,260,038,169,918,285,618,679,775,811,267,766,830,919,
191,251,624,909,369,761,964,329,927,811,565,929,005,870,761,846,184,844,513,
423,644,498,155,721,217,644,659,428,355,504,780,775,420,084,648,581,682,552,
329,806,118,429,660,351,313,843,468,885,517,636,997,120,595,835,435,874,119,
722,955,460,862,007,631,245,913,461,121,062,485,776,434,363,051,770,045,416,
587,238,309,075,714,366,404,552,086,667,679,436,594,081,192,298,860,158,628,
163,109,542,539,754,228,388,306,847,877,644,918,362,989,547,586,221,507,095,
644,164,816,148,050,731,914,257,079,275,589,994,902,095,292,228,672,797,104,
411,483,570,408,328,539,473,132,851,876,720,999,446,017,218,660,775,937,090,
810,262,076,612,171,991,130,939,435,584,925,582,319,346,626,496,718,322,805,
568,641,699,606,375,130,573,418,919,792,076,875,331,460,719,938,501,367,623,
258,944,964,197,756,604,465,225,865,336,102,505,119,485,216,803,629,858,475,
492,371,399,929,807,382,319,398,306,166,917,541,920,902,080,428,328,595,008,
429,603,232,926,445,127,744,199,702,541,203,360,082,281,168,273,486,015,092,
363,943,387,690,526,058,032,774,387,066,879,071,870,399,931,438,525,786,624,
022,353,205,277,551,931,782,401,721,346,757,886,028,476,125,783,053,575,415,
270,286,209,067,040,842,088,143,658,629,442,639,044,344,841,829,593,084,478,
839,510,750,611,623,346,098,869,336,933,035,482,473,651,368,387,892,720,747,
917,230,630,505,309,289,266,928,868,691,322,993,544,624,294,287,611,343,248,
212,908,470,613,174,114,336,378,657,930,172,283,930,019,198,429,781,529,026,
486,450,119,726,604,928,362,267,645,119,434,082,260,000,525,524,507,478,474,
750,509,296,961,678,513,425,599,518,665,614,575,863,941,980,961,453,111,302,
433,454,063,125,566,796,255,690,241,126,149,961,473,939,234,766,943,525,932,
198,816,801,359,245,295,341,784,936,279,049,411,338,228,665,241,311,632,103,
034,349,767,902,356,987,302,925,659,741,576,044,257,404,235,267,533,546,165,
459,081,444,900,379,274,307,143,972,475,171,888,498,710,683,346,586,710,809,
544,780,979,565,552,359,501,140,743,649,406,544,294,907,655,984,067,486,363,
429,691,944,473,954,438,856,330,266,832,274,977,668,101,928,636,312,649,488,
871,047,194,892,168,278,204,080,513,711,091,843,933,482,912,725,780,334,416,
437,820,006,086,197,962,517,138,287,181,687,529,462,198,531,152,447,199,790,
599,741,318,930,020,554,359,131,384,393,547,824,896,580,285,981,425,987,984,
963,690,540,908,881,164,162,852,467,847,180,666,326,108,514,562,428,708,986,
674,957,851,456,173,048,882,899,642,964,420,454,590,700,666,334,334,737,060,
614,198,290,969,213,675,318,434,360,989,691,789,041,999,215,609,441,180,256,
731,834,092,349,190,382,843,103,182,394,671,550,854,341,264,258,881,555,355,
628,787,394,377,414,200,018,584,037,168,603,654,050,489,262,322,480,751,268,
250,876,645,176,696,124,519,270,240,341,195,933,177,989,701,168,176,547,336,
937,136,663,447,048,165,687,846,430,872,824,686,703,844,221,724,722,402,174,
568,359,216,162,978,818,874,911,776,851,253,088,341,795,316,779,643,744,244,
001,314,125,649,455,549,181,763,150,820,229,738,962,157,534,878,823,714,562,
272,621,136,243,782,554,506,105,129,128,925,883,011,305,459,725,997,160,739,
622,147,661,682,270,990,081,375,495,483,280,733,297,084,962,852,865,928,660,
213,340,513,175,324,271,629,959,979,679,753,060,483,981,952,176,458,504,946,
310,557,966,313,952,040,940,772,087,518,062,814,694,665,683,192,417,701,394,
896,026,074,250,445,556,876,215,260,465,531,130,078,966,124,603,935,002,786,
398,825,775,380,811,101,213,664,101,899,833,535,250,429,889,733,735,469,472,
259,814,234,555,213,532,122,028,469,253,189,760,500,545,236,417,027,888,423,
848,647,334,604,756,832,863,827,197,442,038,666,096,024,775,619,035,896,804,
978,638,350,654,973,236,505,490,282,878,964,862,205,286,276,099,164,559,280,
374,018,709,574,052,253,696,813,789,263,238,103,908,081,001,103,737,113,482,
703,501,972,375,302,902,536,780,063,508,838,216,605,082,493,405,276,702,262,
691,883,549,258,865,086,678,419,592,611,942,085,504,551,174,035,971,703,981,
828,933,058,437,778,519,378,919,396,116,843,278,106,802,229,808,916,401,825,
549,166,676,131,479,673,811,243,901,855,111,175,345,941,845,676,261,250,969,
798,885,974,864,445,833,289,436,789,352,948,029,107,967,595,503,076,162,929,
675,883,754,400,853,232,361,365,419,766,739,377,627,744,005,233,028,548,658,
659,300,444,167,701,738,621,273,724,410,841,952,469,053,572,414,012,595,401,
832,686,576,628,927,739,929,387,538,989,945,327,601,761,307,433,397,298,430,
715,034,064,456,497,389,936,479,459,751,851,164,533,143,634,783,279,032,500,
583,370,751,003,886,255,996,561,470,323,757,777,711,012,049,061,190,235,567,
625,725,522,182,442,104,884,518,907,688,933,543,695,151,549,938,318,683,488,
307,202,086,272,097,308,060,656,611,510,933,858,355,673,135,785,863,963,803,
932,650,804,225,212,214,131,853,777,618,252,698,819,875,159,028,826,598,521,
034,266,203,142,138,245,445,474,115,282,254,556,360,470,676,076,100,962,560,
531,516,186,416,651,598,196,016,037,449,560,443,221,654,427,372,010,523,009,
877,583,862,771,959,234,062,012,565,048,795,687,841,679,302,534,536,999,986,
735,441,628,537,428,064,914,705,901,814,087,825,246,706,795,785,876,284,258,
087,731,304,911,829,536,471,478,627,612,415,644,558,686,409,211,077,408,487,
108,346,968,310,122,290,257,437,421,823,870,035,601,794,242,387,114,842,910,
109,573,057,786,194,561,949,137,226,858,799,484,873,298,385,264,353,210,683,
295,070,911,805,168,306,113,386,942,684,614,018,983,669,541,931,631,459,662,
105,449,462,563,241,384,783,309,533,678,076,215,592,002,595,002,821,033,290,
849,799,896,852,853,480,043,858,541,519,700,574,127,485,066,034,945,209,261,
007,726,742,868,001,359,156,307,360,895,786,395,786,560,283,000,776,028,896,
014,601,834,945,777,379,998,938,017,400,937,049,945,076,515,822,346,543,645,
775,401,311,911,439,145,134,753,481,048,669,691,561,002,166,099,499,789,073,
385,595,716,086,174,089,906,767,634,705,773,404,307,388,608,260,659,139,212,
240,571,535,705,818,840,831,687,710,896,856,468,794,045,777,398,786,645,044,
138,022,193,326,155,495,486,284,924,588,775,458,306,417,271,170,055,629,690,
677,268,453,494,361,194,577,747,661,266,510,371,264,404,639,225,033,467,516,
435,406,660,377,833,830,645,947,097,232,258,417,531,484,961,021,476,034,639,
399,799,755,243,180,391,214,103,111,018,701,369,832,657,067,200,846,283,122,
678,899,232,814,708,798,422,094,610,953,573,346,845,092,932,894,759,471,071,
143,652,225,884,854,176,642,039,530,650,077,022,715,995,005,586,501,345,728,
882,585,632,546,140,432,345,222,794,297,700,412,845,050,285,112,041,236,745,
837,421,511,875,881,119,746,325,068,064,195,600,802,251,088,039,850,656,294,
328,899,674,277,831,597,366,280,383,067,524,436,533,325,430,925,242,558,257,
158,443,034,306,654,946,144,748,240,624,662,660,552,298,545,092,810,948,024,
071,756,155,431,409,767,830,481,155,383,889,305,149,337,306,202,796,532,477,
667,017,990,902,699,254,981,467,567,049,920,153,590,363,608,019,284,321,223,
520,883,182,672,928,835,879,221,836,163,567,626,656,018,849,517,830,572,780,
166,227,695,305,121,834,640,769,323,362,729,930,437,556,884,693,367,424,148,
723,428,760,905,181,059,884,036,758,102,905,411,237,098,392,568,609,945,027,
206,822,632,906,866,384,378,478,683,374,578,665,128,125,201,445,825,486,707,
798,804,109,794,711,704,816,984,191,114,586,186,939,965,224,022,262,827,604,
760,568,547,695,520,801,873,117,159,756,915,473,350,613,792,353,787,793,748,
136,387,553,966,679,383,240,257,679,905,302,835,051,449,911,063,968,477,688,
940,441,173,226,472,234,033,632,437,061,460,684,914,429,629,773,462,246,741,
062,086,462,330,891,220,257,418,648,804,044,084,637,564,596,293,326,634,550,
505,863,823,723,220,203,981,493,434,237,390,849,453,499,524,161,847,997,753,
478,639,167,140,817,586,270,710,812,471,593,204,636,834,728,682,474,189,578,
149,622,005,525,857,076,518,606,207,154,471,152,039,504,535,000,505,803,337,
360,140,233,387,512,880,019,709,044,313,433,553,933,037,538,388,267,976,951,
708,775,314,131,400,711,697,086,293,368,669,318,502,459,335,953,418,446,645,
662,982,563,106,603,577,570,958,447,917,613,529,230,308,130,907,272,096,193,
815,299,182,784,627,979,685,656,217,855,469,812,078,668,168,241,305,109,461,
240,148,226,482,603,295,651,837,990,226,144,871,893,503,553,226,901,634,767,
980,900,251,516,184,519,847,341,499,543,464,029,185,794,626,741,380,087,165,
109,343,404,319,768,702,910,532,959,408,783,298,444,387,427,367,810,107,438,
916,463,856,445,239,699,336,294,614,556,785,500,676,046,653,202,469,505,646,
409,430,020,244,359,044,481,772,262,211,394,219,196,551,715,195,498,698,989,
141,397,863,199,101,229,273,000,795,210,714,803,169,379,727,127,459,734,195,
288,908,769,041,079,435,373,335,421,168,636,854,426,816,373,526,961,104,583,
666,943,470,972,822,407,308,861,414,594,961,658,781,055,122,716,315,615,434,
877,636,039,100,406,465,737,745,234,505,997,933,462,045,650,897,449,396,739,
680,156,321,235,023,199,316,203,169,192,275,139,849,982,800,371,250,020,262,
261,961,354,465,082,272,331,375,021,172,851,695,167,806,976,401,768,656,822,
375,272,778,095,739,709,545,503,474,077,338,475,032,605,720,239,655,626,989,
693,428,058,243,529,875,110,344,501,802,811,800,952,812,642,955,664,008,700,
330,241,010,364,603,193,586,571,034,934,906,117,110,017,174,397,862,800,546,
220,774,809,810,936,346,484,644,479,597,635,491,575,064,201,378,645,559,438,
482,007,716,883,788,445,787,995,680,651,679,488,099,578,716,294,641,511,597,
456,268,091,627,842,609,049,865,593,344,927,929,739,384,832,185,976,650,089,
646,011,832,052,247,916,480,859,549,188,531,825,010,456,120,702,914,046,204,
099,177,473,765,834,957,422,267,820,062,968,663,024,198,733,125,756,854,987,
755,368,096,199,006,971,150,709,456,857,585,780,535,583,847,039,849,517,941,
100,629,036,694,239,773,814,311,118,844,330,210,029,542,927,693,765,967,000,
568,025,142,024,435,061,299,022,931,519,239,288,677,091,137,853,973,259,920,
525,879,128,242,642,096,331,831,347,534,094,279,092,224,544,856,769,447,240,
947,281,216,780,493,885,614,940,806,770,704,399,154,146,187,661,311,682,784,
997,986,430,133,500,361,925,085,727,965,506,227,328,752,192,484,703,901,167,
825,283,792,803,697,413,829,369,950,718,821,035,291,931,749,523,378,756,369,
173,684,708,127,012,195,191,739,877,343,130,863,056,892,011,200,217,083,834,
050,022,532,923,579,674,721,217,276,988,930,357,099,269,565,081,791,889,197,
584,404,594,387,634,230,813,174,863,089,655,515,518,846,634,494,141,342,778,
394,863,898,133,577,944,352,118,734,604,288,002,086,788,192,658,269,882,975,
139,766,279,271,410,697,993,060,618,460,700,439,768,748,725,127,344,102,378,
271,678,935,056,273,220,123,594,688,336,428,936,150,182,436,146,392,441,401,
770,232,409,822,367,102,146,759,227,924,006,219,221,739,187,341,111,481,201,
572,642,383,387,065,570,304,580,440,487,898,978,630,851,411,359,426,958,193,
214,917,316,242,463,494,971,882,410,294,227,791,181,489,826,690,373,623,448,
845,907,658,972,735,436,110,714,303,256,221,940,834,264,770,087,548,857,784,
435,405,525,618,008,714,622,397,780,195,968,226,625,500,554,055,812,890,721,
957,807,814,728,067,322,819,764,855,232,310,608,683,214,336,019,287,320,216,
892,688,803,579,760,594,982,817,245,799,253,147,778,770,311,744,482,080,483,
591,514,014,588,061,041,818,509,525,408,940,850,447,119,344,100,409,686,568,
997,169,867,960,478,571,197,002,536,258,827,897,074,205,154,311,824,195,279,
928,283,114,610,279,911,953,567,073,582,077,506,297,493,794,829,552,122,953,
853,999,912,340,323,038,838,358,979,258,192,101,749,167,610,750,276,977,752,
000,728,465,489,910,086,225,362,572,014,156,191,893,937,876,193,212,715,173,
003,413,027,092,951,958,546,500,313,872,573,114,720,518,682,650,500,574,550,
710,851,895,588,371,228,438,112,665,019,269,842,093,860,489,373,350,918,907,
197,835,959,880,500,933,316,590,781,100,823,007,171,148,974,263,133,360,372,
747,611,127,136,768,715,431,581,649,246,782,242,480,488,076,485,502,745,030,
388,632,424,851,438,196,729,078,447,415,465,587,820,891,862,318,523,784,081,
671,965,830,893,780,571,513,332,981,926,331,433,083,464,772,177,529,618,942,
931,241,399,118,113,333,192,253,852,421,355,808,713,356,822,298,363,080,073,
724,832,124,394,380,652,233,955,775,397,797,466,830,632,056,069,463,901,226,
478,753,150,008,676,172,351,158,041,448,417,347,432,179,057,150,733,508,143,
662,201,349,958,478,089,599,368,172,435,014,689,764,994,514,408,016,419,729,
305,196,561,642,441,584,936,104,706,072,507,059,762,583,256,598,395,107,669,
194,381,198,560,986,069,149,844,684,232,407,807,690,423,809,916,985,242,799,
403,786,364,435,571,973,948,283,157,446,837,361,706,296,877,975,357,235,712,
163,535,766,626,080,309,808,645,015,513,614,590,057,936,647,362,306,507,677,
203,303,503,736,507,956,271,764,779,879,948,637,534,530,746,164,681,570,743,
738,226,703,381,673,752,602,749,910,587,460,935,606,221,449,512,790,064,716,
773,445,938,265,746,429,787,994,109,934,323,784,233,889,118,758,128,913,738,
335,632,307,632,334,116,054,187,433,700,140,417,203,757,197,618,029,991,279,
232,388,281,403,115,483,654,897,657,916,696,037,892,048,678,941,703,933,438,
263,020,557,660,807,774,105,025,921,914,959,501,660,351,774,856,829,285,672,
034,747,222,281,257,958,893,012,425,578,198,196,349,105,293,446,931,547,851,
801,897,123,866,546,181,598,819,190,175,337,506,381,121,266,368,510,964,336,
884,719,899,664,928,900,006,062,505,406,898,722,473,890,656,012,678,026,157,
694,515,838,499,790,582,923,834,830,810,179,337,180,558,675,569,540,954,436,
959,461,748,036,172,282,512,458,134,163,892,228,216,883,351,473,073,480,570,
300,549,121,640,858,129,784,915,299,829,766,031,646,643,431,251,044,201,808,
268,265,525,418,810,264,900,119,700,408,577,051,162,883,174,028,254,265,914,
403,113,799,917,276,323,010,544,568,688,453,557,171,587,714,172,496,254,467,
757,719,414,129,605,070,507,576,215,311,045,206,729,891,815,359,621,979,304,
112,843,208,596,967,764,630,715,409,083,616,043,879,404,014,847,617,675,018,
386,747,254,427,728,562,615,753,859,278,768,242,811,185,385,508,048,431,792,
201,191,346,970,797,053,986,603,433,015,419,526,275,326,002,192,290,959,504,
908,126,471,544,533,283,433,391,227,765,628,486,565,373,295,267,281,690,879,
309,999,323,287,593,673,714,525,216,841,370,077,916,602,506,929,887,257,666,
436,790,217,480,127,310,076,688,448,488,200,668,479,143,946,530,149,247,136,
849,596,850,173,689,826,206,187,767,270,490,474,896,394,766,008,481,415,794,
493,929,229,193,244,508,053,389,197,866,171,142,979,390,764,971,103,792,358,
384,515,114,585,081,151,307,236,354,270,517,063,598,502,344,547,195,980,996,
432,170,619,244,782,851,431,655,547,399,048,771,498,729,470,127,420,133,831,
133,036,643,719,193,405,217,790,628,118,498,605,294,923,731,838,630,337,465,
547,663,462,562,075,876,184,392,042,601,950,806,577,084,322,449,072,484,565,
159,232,288,161,582,344,211,022,009,898,184,103,004,701,316,458,349,504,500,
340,911,568,781,492,582,785,067,897,695,842,666,244,557,351,192,907,448,731,
990,260,146,079,481,826,126,523,098,710,382,668,750,946,151,841,259,942,024,
728,167,797,097,483,517,333,467,127,404,574,352,880,919,710,187,220,516,753,
224,345,685,993,713,715,239,073,235,360,411,756,654,632,926,945,490,390,630,
199,527,899,135,826,890,349,122,005,746,036,016,733,847,387,427,630,009,582,
200,847,180,055,319,488,275,442,274,573,528,011,453,478,588,381,555,893,256,
641,698,088,856,397,152,869,480,956,616,552,208,943,612,531,853,559,734,984,
677,957,787,264,531,381,036,690,114,057,753,005,925,717,821,872,471,135,925,
535,084,162,592,159,221,895,154,399,422,077,210,451,350,278,648,508,106,468,
135,369,886,834,881,795,107,578,515,721,957,990,497,408,483,700,927,219,623,
610,815,774,467,314,745,451,544,560,132,682,303,595,001,243,156,893,903,073,
734,197,953,180,678,616,663,029,573,669,035,693,400,401,474,134,382,680,079,
926,601,508,836,382,190,678,844,314,763,010,144,280,957,028,553,953,620,512,
513,037,991,170,171,572,776,045,545,493,345,553,583,323,250,242,579,050,560,
623,335,094,689,665,880,477,713,785,143,474,142,860,570,992,836,836,281,321,
326,508,711,097,294,463,306,644,449,050,402,836,922,569,562,799,632,491,543,
465,457,736,213,009,286,184,927,899,627,652,120,634,108,563,133,610,361,187,
392,886,224,489,380,386,256,330,640,462,847,475,051,940,168,673,247,372,317,
845,939,200,048,317,684,927,841,781,317,643,000,866,420,257,799,648,115,203,
424,535,380,906,957,887,439,634,281,623,862,103,702,993,816,309,172,572,290,
126,800,384,796,627,921,648,825,177,713,481,839,765,578,196,348,769,296,121,
552,606,725,712,973,838,886,854,490,952,026,988,673,781,015,062,644,430,319,
718,404,649,312,679,668,055,735,561,164,099,368,999,103,323,523,204,622,737,
475,674,245,625,269,292,437,471,198,286,788,608,335,451,173,463,901,231,260,
775,896,760,160,418,978,879,610,914,206,065,516,698,646,142,668,853,985,006,
529,482,353,331,878,221,694,098,516,725,670,154,772,768,984,262,455,044,056,
897,585,994,395,701,832,723,559,697,000,106,630,965,384,508,460,366,529,061,
048,797,241,929,994,234,901,374,942,132,606,944,469,859,396,750,432,116,695,
886,380,811,286,136,236,796,254,874,826,111,750,213,058,389,078,215,326,915,
747,759,151,286,745,843,279,526,563,601,585,180,165,341,405,757,525,521,817,
862,073,425,731,984,799,089,146,485,228,688,817,461,619,232,976,138,071,068,
662,379,942,793,665,558,446,142,858,196,969,517,833,799,075,721,058,486,354,
437,163,305,189,649,122,979,586,200,363,617,802,996,125,868,221,744,849,151,
885,558,386,297,050,261,425,357,815,479,909,973,096,205,718,506,395,000,010,
359,665,860,036,760,317,841,507,508,054,090,478,192,689,344,151,293,520,428,
730,266,661,900,588,499,153,278,312,832,668,092,700,026,712,381,947,960,095,
198,755,829,361,473,105,843,114,939,065,687,980,503,376,555,566,901,374,159,
063,835,687,459,038,341,611,033,878,464,898,505,150,839,528,637,472,999,492,
323,571,874,335,962,714,785,805,310,247,987,245,332,456,214,941,563,186,156,
720,903,642,780,279,458,329,538,231,762,571,149,447,100,440,111,463,683,627,
693,256,061,797,700,348,226,157,267,989,650,108,179,111,487,201,164,712,473,
880,875,218,126,312,240,021,278,375,908,029,076,977,129,369,088,067,686,583,
235,928,251,436,631,310,528,845,499,996,525,055,773,688,336,495,141,132,994,
274,454,697,406,787,617,012,760,246,071,010,143,664,120,250,009,022,807,998,
377,400,747,949,670,984,354,972,473,755,002,547,396,985,175,355,814,963,447,
498,077,606,508,383,658,726,268,588,686,847,507,938,454,511,516,869,860,581,
485,391,903,464,964,486,384,863,005,278,044,218,000,593,487,350,203,097,783,
417,159,852,837,133,351,715,724,058,480,636,232,588,711,114,289,264,827,227,
825,188,445,978,920,859,723,305,112,888,716,094,594,493,583,705,085,490,374,
015,720,574,706,676,907,186,956,439,836,685,330,416,979,924,225,717,284,393,
912,159,202,088,710,885,244,633,700,892,997,892,376,094,403,263,125,575,858,
303,060,601,379,194,690,715,496,439,018,730,895,365,012,960,636,713,830,997,
575,245,790,089,934,171,851,958,351,515,495,010,369,078,158,041,001,885,792,
281,014,887,606,833,711,912,905,761,005,929,886,869,725,192,704,800,002,179,
975,803,528,654,686,305,453,150,283,862,755,397,996,321,163,599,957,252,969,
307,431,407,541,375,930,364,376,112,648,066,390,912,765,605,373,253,131,671,
212,217,467,093,434,706,002,974,500,332,303,173,344,405,320,996,827,473,777,
325,554,847,133,850,892,098,407,122,873,998,704,929,606,025,753,339,967,122,
949,373,237,839,939,509,616,166,867,202,688,991,494,568,987,661,831,552,306,
791,164,547,333,114,121,352,994,103,579,646,708,213,861,648,907,666,737,675,
290,814,720,706,120,442,801,068,307,899,457,034,162,403,941,056,876,666,583,
435,479,010,044,741,534,169,836,070,854,843,080,451,388,483,428,944,229,863,
770,098,802,486,298,881,347,109,002,347,032,915,326,149,943,473,499,504,084,
913,636,496,455,614,494,065,209,500,848,835,005,707,393,958,224,803,589,868,
246,264,414,200,616,902,507,170,224,110,583,282,383,655,089,278,805,389,603,
237,052,604,488,084,252,439,425,998,882,952,282,295,249,996,509,173,109,104,
066,320,477,903,675,738,887,209,687,231,738,398,931,499,018,605,385,036,198,
525,828,593,822,565,230,235,829,737,273,908,246,961,310,185,779,136,257,006,
183,448,614,066,453,597,729,972,786,884,644,949,626,540,603,175,848,648,197,
108,618,499,355,448,380,974,342,603,737,673,072,785,501,716,628,638,724,689,
132,263,164,753,838,068,107,610,320,955,081,425,873,659,230,584,380,995,723,
791,243,657,957,372,938,317,657,104,296,236,667,715,215,154,603,635,318,998,
391,890,908,827,820,809,098,182,526,999,582,376,967,318,187,004,757,789,901,
542,172,342,134,157,494,110,648,657,218,384,549,673,640,523,371,823,803,740,
066,937,129,980,823,447,444,204,154,085,843,638,120,609,429,515,742,075,277,
721,463,751,604,288,709,888,920,017,419,606,342,040,525,283,597,588,897,176,
887,354,272,222,316,915,327,443,702,321,129,394,839,924,772,990,147,827,507,
136,600,229,534,330,855,642,449,534,796,572,658,963,708,325,790,291,524,055,
274,449,855,751,440,165,219,954,348,268,677,379,733,808,021,728,877,719,572,
227,933,037,270,913,578,014,780,471,133,195,282,012,213,442,277,386,846,746,
960,277,569,297,777,313,206,646,079,475,303,712,752,532,851,091,653,725,473,
357,910,640,837,804,241,758,952,372,882,011,725,580,212,999,755,579,629,045,
578,427,608,687,354,244,241,026,443,764,989,340,777,204,038,496,449,146,555,
642,359,945,780,049,131,431,980,297,093,589,708,184,877,378,633,854,013,547,
837,426,410,471,403,571,337,027,305,872,889,535,097,009,627,606,482,262,307,
524,852,592,345,031,039,020,526,367,053,660,853,930,779,753,768,138,739,631,
026,962,569,770,244,039,392,007,007,273,599,626,334,492,109,610,065,646,480,
089,534,411,430,160,785,900,914,759,874,129,305,064,414,484,965,484,637,788,
252,467,305,074,105,235,185,708,503,925,674,332,677,940,332,233,062,145,794,
422,968,971,307,514,089,077,257,329,781,161,066,900,987,876,176,459,673,531,
836,254,110,357,776,572,811,744,547,199,659,487,518,619,015,162,785,803,036,
069,229,464,428,570,835,849,259,562,402,708,789,322,155,200,862,958,944,628,
818,284,206,572,497,838,555,955,625,199,300,519,411,744,666,330,522,066,881,
794,462,992,886,826,967,488,645,535,672,254,312,215,137,145,073,854,069,767,
242,177,738,859,031,153,980,113,581,080,931,525,912,873,075,059,170,743,782,
494,106,720,854,038,303,892,327,969,416,495,471,008,807,810,518,776,154,659,
318,202,411,284,863,782,097,863,760,946,723,298,519,219,749,759,153,750,590,
498,235,694,232,822,827,438,631,328,337,050,555,621,494,227,103,177,038,777,
050,668,075,718,063,926,462,260,794,278,926,198,014,066,420,201,986,205,664,
416,968,749,870,557,073,951,552,187,920,237,602,536,814,810,014,808,189,443,
464,444,115,824,429,321,675,861,875,496,510,247,336,418,133,893,051,194,361,
485,734,876,809,851,351,813,452,856,476,806,118,373,711,345,079,794,336,801,
243,175,173,598,694,750,577,754,203,596,367,955,750,804,797,984,667,534,946,
311,273,190,034,403,408,601,269,405,716,742,561,092,438,491,166,259,384,834,
412,128,744,633,228,027,399,850,001,289,777,217,033,990,206,566,772,862,741,
409,865,355,217,045,896,381,654,191,470,780,635,412,723,829,611,609,700,401,
384,733,810,622,625,573,484,437,038,492,009,436,286,642,434,879,719,885,067,
261,403,881,695,782,084,696,856,897,094,633,897,826,313,249,307,903,231,986,
309,805,642,976,782,856,799,517,555,303,143,497,667,055,197,226,232,419,917,
407,747,202,229,479,697,307,968,845,957,057,728,103,336,032,344,522,535,619,
368,377,543,258,026,420,308,145,883,703,276,874,004,038,585,138,334,940,909,
766,383,042,155,438,702,776,944,815,365,919,291,671,665,939,133,893,538,727,
866,994,763,149,754,587,108,424,919,759,175,729,662,455,349,398,135,906,199,
645,176,277,785,228,396,611,613,859,991,203,258,122,017,329,209,417,200,053,
778,989,360,267,498,457,915,840,086,760,357,101,414,051,902,648,846,147,270,
595,434,603,991,321,554,877,735,714,737,663,507,817,849,133,655,655,990,131,
204,467,391,203,530,970,367,193,139,103,724,359,714,899,801,559,315,064,165,
844,693,902,424,956,915,556,157,857,699,893,202,846,910,691,232,526,591,737,
415,587,751,253,768,097,393,321,153,968,804,877,677,398,483,086,559,598,380,
714,444,681,219,056,596,120,710,992,553,544,450,623,403,574,296,244,651,829,
135,611,774,830,808,514,671,189,156,873,483,373,443,084,618,022,964,746,400,
345,986,271,458,420,151,362,455,985,466,527,506,430,336,209,692,295,762,349,
625,929,685,770,102,277,521,156,607,742,145,742,375,185,642,767,326,726,842,
193,266,210,528,907,546,978,331,325,047,217,592,077,563,156,838,939,240,767,
393,418,259,812,108,057,661,175,847,487,625,776,136,926,748,154,219,854,796,
523,803,552,168,879,239,753,038,288,256,223,372,869,361,561,375,570,949,120,
603,181,729,175,522,078,986,312,385,925,529,437,873,288,745,465,733,591,081,
598,143,154,377,868,667,153,160,539,973,185,166,001,358,169,730,224,127,698,
919,748,434,758,373,592,650,701,930,839,387,729,956,618,848,836,044,598,096,
927,821,247,526,955,645,361,118,128,503,727,284,334,321,072,217,249,445,191,
254,878,957,455,193,392,716,572,187,003,917,689,627,944,114,518,297,512,191,
288,790,143,921,355,393,453,573,005,910,144,927,880,112,092,756,974,544,532,
684,736,180,604,584,793,616,911,993,846,556,518,682,931,400,357,000,479,996,
126,499,059,344,919,284,604,512,118,983,272,799,070,780,944,188,000,479,278,
552,389,376,134,800,090,363,628,108,930,444,436,740,373,483,773,549,450,935,
336,046,879,585,942,591,915,240,121,492,274,226,348,866,049,409,557,611,024,
984,417,722,791,915,801,474,583,165,977,236,301,929,852,633,368,125,199,482,
694,849,078,741,296,530,511,537,676,191,581,209,867,226,205,097,509,453,819,
540,103,942,725,095,832,854,750,737,501,823,746,434,810,875,236,818,861,067,
462,097,529,288,562,254,394,169,346,273,412,837,303,834,089,471,240,493,146,
098,824,704,941,839,049,198,485,402,069,394,210,058,114,461,426,857,206,979,
792,525,089,280,035,133,042,592,017,178,155,616,534,759,703,298,891,319,367,
083,304,633,752,166,236,770,174,246,186,584,546,225,185,302,464,903,811,394,
706,297,603,099,405,433,798,400,688,816,177,527,635,770,205,698,438,555,472,
277,893,619,998,977,043,185,458,039,844,089,950,678,545,930,187,101,323,534,
411,814,624,178,577,749,562,786,474,395,123,864,419,854,973,780,469,629,654,
933,557,742,180,733,169,978,358,542,973,472,610,038,102,375,351,675,081,774,
052,326,704,535,930,006,907,385,707,820,395,818,551,357,511,149,424,688,925,
294,466,695,406,409,465,101,393,963,006,813,053,153,067,760,488,030,948,853,
837,342,272,492,884,441,934,824,348,634,088,087,374,978,372,919,321,694,362,
002,273,549,374,341,121,829,608,974,592,306,576,585,942,465,327,787,568,185,
326,139,765,101,155,957,838,268,177,082,222,537,673,505,458,330,063,768,768,
391,769,931,757,981,227,328,714,006,483,078,097,506,491,206,418,780,469,314,
763,513,354,556,974,997,138,390,458,984,400,421,872,176,345,262,334,348,798,
247,668,772,676,023,058,561,509,189,943,198,464,424,410,467,286,722,251,559,
873,189,177,112,212,376,741,101,760,211,827,221,203,305,232,878,861,177,259,
490,490,232,788,856,836,291,439,099,512,247,676,322,641,655,471,498,366,419,
892,616,102,357,420,919,390,501,126,800,797,658,312,054,779,281,514,093,697,
881,508,339,175,508,499,054,469,179,769,978,776,149,290,383,949,600,518,485,
099,428,193,220,568,007,085,765,755,160,054,064,772,099,140,886,091,530,951,
129,640,655,817,988,258,802,774,133,218,418,787,802,046,268,654,642,519,511,
307,322,471,397,998,183,878,901,648,180,186,470,058,368,640,309,901,565,450,
952,542,289,884,655,903,578,031,397,667,403,664,274,133,347,504,461,376,767,
264,651,386,490,316,119,946,722,387,666,671,860,566,992,887,286,571,550,815,
910,807,339,896,103,063,046,448,206,966,685,527,944,908,679,008,583,256,158,
657,494,616,923,971,362,148,874,672,233,211,884,315,185,207,940,916,539,015,
433,127,885,545,480,498,336,060,310,987,683,810,835,812,474,306,862,127,062,
243,078,458,777,701,035,081,938,645,342,546,239,175,457,498,321,137,483,089,
505,676,665,801,531,532,584,032,979,243,553,511,940,323,647,770,797,065,862,
140,919,785,298,192,036,547,922,948,329,150,264,939,536,239,829,864,555,732,
804,887,696,558,377,745,991,851,448,706,564,592,697,083,978,506,130,511,139,
131,542,067,358,396,675,746,322,745,807,786,848,346,270,365,063,611,048,003,
948,515,597,808,194,083,801,653,268,182,565,047,931,933,879,662,122,824,198,
756,825,227,352,216,211,579,596,745,049,110,587,228,998,766,217,093,823,992,
816,096,436,189,557,439,319,224,727,389,732,822,151,803,718,669,215,283,281,
578,783,752,293,086,374,982,131,478,405,862,467,540,893,176,232,006,377,926,
756,038,737,155,972,982,731,121,277,808,113,006,215,229,449,415,160,107,506,
551,755,730,330,789,635,244,541,692,808,554,333,193,168,529,627,316,848,967,
686,903,564,572,111,028,671,328,217,628,356,302,755,567,670,434,125,111,903,
699,462,590,781,740,231,163,036,169,818,157,201,729,862,873,597,176,900,300,
390,552,700,818,161,260,261,390,968,225,050,678,152,014,138,859,841,331,434,
041,437,988,758,058,307,854,197,759,622,213,322,966,210,433,330,406,698,857,
510,275,589,269,157,088,149,108,255,523,432,064,028,556,792,467,420,488,094,
267,187,019,103,752,495,559,169,476,901,689,135,953,958,892,114,668,833,003,
358,364,635,672,955,846,843,695,959,056,561,258,616,123,200,214,500,709,168,
270,346,485,776,447,092,843,975,077,830,730,866,211,022,781,261,915,121,182,
468,354,174,305,023,949,927,876,611,791,672,143,576,202,520,414,528,333,500,
817,025,965,640,798,805,734,611,659,962,504,558,222,441,759,004,007,567,341,
983,763,320,747,898,921,754,453,634,983,914,068,251,292,681,736,247,284,643,
229,349,048,715,605,202,506,748,528,065,246,913,290,753,519,403,445,945,833,
280,805,969,568,190,588,516,735,392,194,466,710,267,840,547,729,847,917,993,
165,161,525,257,195,757,514,515,982,929,726,103,916,242,961,246,747,202,807,
686,807,354,808,284,788,647,636,424,156,826,983,406,703,060,458,637,654,096,
695,014,629,858,965,190,787,264,419,900,824,982,795,278,659,884,649,011,627,
643,776,309,317,318,385,857,609,859,264,278,934,820,884,798,507,817,180,543,
664,457,553,373,725,121,653,520,806,333,235,202,495,863,318,595,929,168,568,
259,495,708,505,949,698,882,900,601,517,029,716,896,221,475,867,936,574,479,
523,004,584,337,947,395,640,254,159,880,439,967,145,493,268,833,818,161,853,
645,459,973,177,046,020,325,065,155,715,686,776,949,580,794,720,382,821,673,
376,317,469,518,148,477,096,405,615,314,893,841,259,980,459,095,775,750,173,
111,385,267,136,439,492,697,629,811,827,927,362,984,875,692,579,104,614,987,
966,840,261,725,315,695,478,870,156,843,148,573,122,290,848,710,809,188,845,
217,618,619,815,597,824,514,650,859,124,731,089,876,307,397,723,185,189,838,
559,444,174,585,547,685,439,832,278,923,647,383,806,019,334,859,750,237,945,
738,363,304,549,140,703,839,114,742,167,568,779,929,830,682,060,379,262,807,
016,672,585,152,683,116,914,770,794,177,467,299,855,659,877,274,082,870,510,
485,766,615,866,871,894,702,567,929,104,686,927,247,035,656,961,104,788,472,
413,604,711,996,600,877,509,694,498,086,254,228,990,651,568,324,688,292,802,
982,898,517,698,243,115,034,584,564,391,051,457,339,146,973,780,447,856,807,
941,950,910,178,276,273,260,342,895,967,864,347,692,176,484,512,927,446,970,
714,053,642,153,293,643,493,487,637,671,693,504,377,177,424,974,148,822,610,
404,454,061,042,484,187,145,971,601,813,943,362,788,856,646,931,457,623,122,
446,265,211,749,473,751,080,719,356,052,598,428,699,240,858,156,954,589,620,
788,471,285,711,490,687,307,788,170,899,502,419,619,210,129,614,971,076,952,
930,530,195,815,064,967,351,516,939,261,659,684,838,981,591,924,023,479,250,
495,286,802,815,743,414,858,901,028,296,775,890,508,221,166,615,141,805,310,
565,811,706,186,207,431,572,820,885,733,501,358,588,013,918,507,712,593,358,
962,918,578,172,239,669,808,282,823,665,176,126,166,309,141,391,188,149,560,
125,088,279,382,535,537,043,669,689,453,568,057,517,372,643,427,639,311,855,
285,080,782,132,959,730,355,088,312,252,493,222,486,960,295,613,490,380,342,
322,382,404,254,405,962,139,757,833,060,598,348,203,014,185,416,515,694,556,
600,791,613,357,932,239,004,422,002,704,352,551,752,663,608,500,506,187,103,
126,431,206,353,441,598,608,210,819,545,631,358,085,138,637,472,936,529,447,
986,647,752,386,963,000,511,833,449,757,661,460,162,129,584,248,777,343,495,
643,067,745,763,321,706,823,028,770,495,667,794,190,656,562,213,221,941,615,
266,424,685,153,448,891,896,638,067,463,311,641,828,644,769,047,684,456,492,
102,773,599,940,345,725,137,510,069,605,054,618,312,743,060,450,131,476,649,
247,539,057,032,641,679,747,701,399,194,929,208,650,711,918,289,991,643,315,
704,817,636,019,917,957,612,118,349,007,642,962,504,810,387,214,865,252,655,
153,880,534,072,336,386,363,865,431,725,210,873,037,845,912,950,470,675,735,
807,005,021,957,239,392,567,172,143,057,898,754,365,014,380,413,146,178,655,
081,249,032,347,344,650,506,443,792,146,087,052,519,899,977,743,618,475,327,
249,050,496,075,595,844,857,928,821,675,069,153,045,552,183,843,824,389,289,
064,724,396,370,247,445,758,949,210,471,675,016,810,866,989,102,802,949,004,
640,753,077,092,140,059,330,944,132,659,262,403,793,297,740,248,869,280,449,
083,671,152,310,106,511,565,664,568,765,962,030,391,501,103,233,387,923,795,
336,244,628,624,975,280,582,761,771,858,327,674,465,584,057,827,258,061,337,
782,089,706,960,267,514,885,474,327,333,666,613,741,498,021,088,470,807,839,
648,833,041,201,140,588,720,127,724,708,636,121,990,146,434,683,346,513,766,
158,719,471,277,405,991,262,868,928,536,294,449,475,551,536,485,456,518,957,
532,052,416,661,853,179,941,194,240,013,387,562,531,136,378,361,435,862,783,
721,711,915,024,852,760,491,121,516,244,380,003,906,517,201,481,860,246,751,
223,666,817,833,398,251,332,143,084,523,464,881,997,835,682,689,148,948,017,
708,401,121,465,908,905,529,460,312,206,402,144,823,411,223,974,447,593,251,
309,789,482,517,294,915,791,498,872,937,525,118,927,324,811,031,009,888,250,
193,740,001,136,453,499,021,234,052,407,919,397,110,489,176,775,503,884,423,
057,333,129,999,247,587,950,781,750,959,166,165,755,987,082,676,141,576,818,
023,234,861,416,083,157,461,644,778,214,774,115,173,197,806,916,611,256,807,
258,838,141,587,548,518,949,298,488,859,373,947,397,817,311,630,148,503,166,
465,022,769,798,907,060,865,629,880,063,993,064,626,595,578,439,714,729,237,
818,939,080,498,022,331,259,596,236,271,168,653,659,314,663,302,833,967,216,
661,041,149,554,554,541,770,013,983,574,019,847,531,465,920,635,850,955,916,
799,751,120,753,547,413,093,857,869,563,821,453,324,876,572,684,110,299,288,
864,514,745,398,543,775,385,278,539,311,242,795,697,141,477,183,202,596,823,
647,478,007,982,878,602,221,173,270,400,713,034,421,042,041,545,628,728,454,
245,096,539,110,850,082,087,410,242,953,224,819,314,467,182,326,845,271,423,
352,014,553,193,021,746,995,733,764,427,543,986,222,456,827,528,114,527,250,
534,467,213,044,458,569,522,522,368,533,273,093,980,879,494,252,250,009,275,
636,158,288,170,781,067,923,333,810,781,958,941,701,704,431,123,203,970,440,
878,634,797,286,304,825,146,442,721,101,277,347,388,774,728,195,187,972,313,
221,145,480,010,521,969,575,325,684,253,722,412,255,744,529,791,862,799,109,
952,656,123,529,680,092,557,193,692,682,861,831,928,648,867,547,658,508,520,
467,446,308,937,897,978,163,904,439,488,753,417,807,772,552,238,361,217,721,
097,315,920,382,332,525,368,395,431,991,356,172,020,314,760,734,206,627,954,
772,664,141,707,223,344,252,236,603,958,904,827,570,761,283,630,567,566,482,
647,613,341,511,325,651,674,525,330,010,175,506,897,002,384,321,330,934,154,
347,352,333,547,211,397,762,821,371,494,226,053,031,701,637,019,396,436,863,
494,221,591,606,140,744,995,088,927,127,218,850,266,170,058,087,119,380,785,
516,255,147,559,176,568,720,061,484,793,000,102,457,275,244,382,803,966,060,
072,209,794,779,507,124,015,831,307,443,826,892,170,180,566,606,555,177,228,
167,412,412,324,541,498,251,520,893,137,178,463,647,866,775,079,932,271,983,
659,357,889,798,655,649,891,547,931,072,500,368,956,649,058,506,698,908,200,
497,175,710,440,524,317,296,528,805,945,373,756,121,487,709,992,590,697,335,
564,746,687,354,966,201,141,623,707,892,202,216,935,708,880,932,602,045,957,
343,362,531,836,265,113,530,665,313,786,859,159,582,427,487,160,508,034,201,
791,128,498,408,093,500,003,733,465,509,272,062,315,336,691,792,838,270,220,
587,852,796,679,914,154,833,385,968,289,468,655,404,280,084,444,021,367,623,
751,883,211,360,653,018,271,631,638,694,303,777,724,063,359,497,432,191,266,
546,612,270,335,017,984,723,437,512,195,705,015,000,185,680,626,528,075,331,
287,427,541,963,603,423,957,747,988,384,552,777,239,289,264,160,410,968,623,
060,119,699,203,864,600,527,399,313,610,530,547,686,878,947,325,133,745,881,
077,492,558,736,796,362,769,125,123,759,521,516,223,987,578,683,593,499,971,
607,287,972,393,089,016,203,088,268,434,514,441,022,417,769,127,825,743,450,
782,873,464,873,714,347,918,590,280,552,769,038,788,099,284,726,049,947,362,
460,765,526,093,578,153,601,790,525,578,332,656,752,616,322,057,506,489,691,
224,587,078,306,257,394,452,443,943,942,629,199,788,680,269,032,961,957,572,
219,058,105,683,789,048,633,769,733,614,290,353,943,609,004,775,713,083,815,
524,950,366,484,496,211,128,119,430,825,730,995,670,193,093,860,180,195,299,
543,407,055,990,164,851,284,051,110,935,358,649,455,964,967,181,718,515,183,
037,279,983,868,080,373,733,879,073,959,193,165,677,718,749,977,562,968,454,
201,026,143,989,944,727,687,262,069,473,596,105,523,026,823,707,353,015,684,
805,405,324,626,105,759,357,154,543,284,581,492,489,364,477,874,133,697,659,
186,678,548,441,094,222,782,402,769,828,157,350,720,980,781,449,779,896,217,
971,737,176,367,705,202,939,272,910,005,668,955,382,356,181,214,225,361,622,
338,738,474,246,405,276,169,474,259,169,086,697,003,360,288,478,271,286,830,
120,409,610,337,226,777,546,796,972,031,103,848,233,235,519,817,654,392,322,
218,408,210,439,407,600,892,800,407,754,986,657,598,076,991,526,720,405,735,
933,035,512,978,453,823,241,917,889,640,749,308,923,039,723,266,629,573,179,
583,545,981,468,767,880,746,606,532,949,743,547,062,911,721,386,156,722,476,
885,485,989,007,014,056,301,279,659,663,160,146,811,303,704,547,566,990,963,
295,729,219,165,249,869,508,805,445,214,464,429,755,069,909,537,246,158,284,
763,065,578,534,890,078,979,358,375,065,055,349,248,649,660,161,541,107,091,
199,788,045,092,201,744,734,182,150,779,537,345,092,087,341,631,101,889,140,
156,244,886,946,930,948,899,872,933,817,104,849,005,076,873,893,267,147,318,
639,330,253,602,877,036,173,257,172,038,530,739,796,473,581,009,202,952,962,
782,367,439,247,092,418,654,996,063,152,336,403,463,651,976,174,541,879,943,
158,123,866,048,014,805,761,186,597,354,036,107,520,683,437,816,052,569,363,
931,821,957,470,347,685,226,925,246,760,547,781,242,493,526,496,695,557,095,
110,438,757,211,358,841,588,560,917,870,522,862,881,967,006,869,184,384,099,
907,029,392,003,898,922,450,576,157,476,770,220,776,397,751,201,654,226,922,
445,807,236,141,382,273,530,213,939,889,359,198,811,006,889,534,565,906,303,
044,547,338,499,837,104,412,353,528,444,752,297,724,567,020,579,913,470,515,
486,925,400,591,353,330,716,683,908,994,733,102,677,889,634,919,135,766,398,
130,124,380,810,547,531,316,404,507,256,599,381,480,640,993,032,061,404,846,
420,452,738,754,714,944,418,935,501,265,035,130,756,103,404,386,919,341,368,
606,711,115,738,414,446,619,029,358,347,592,894,402,450,405,033,289,999,831,
261,114,009,125,441,056,114,091,563,559,773,819,467,361,852,538,432,754,541,
969,751,732,032,268,801,287,280,589,075,822,591,699,739,663,161,369,353,794,
807,366,486,197,695,433,625,551,877,615,534,324,616,518,378,018,013,114,851,
508,172,067,633,070,339,755,358,530,341,695,075,100,242,880,391,097,551,428,
110,000,812,151,097,830,345,358,108,033,154,963,056,597,018,077,609,518,892,
467,027,753,888,916,557,090,062,194,236,470,592,001,310,836,535,939,080,583,
413,618,019,398,945,008,281,615,323,958,035,437,817,594,677,051,374,748,817,
621,356,105,059,381,749,153,736,238,454,384,601,981,772,265,681,713,184,036,
826,321,488,158,826,847,877,905,069,971,052,105,308,708,730,674,171,128,515,
661,042,695,149,273,259,358,929,641,444,429,816,942,790,349,861,189,728,254,
001,478,836,356,853,434,306,308,166,410,638,233,477,023,936,059,874,014,957,
768,578,432,775,735,814,293,521,446,823,057,350,532,361,467,865,365,839,044,
780,639,807,350,777,676,908,730,535,815,543,981,830,221,028,792,118,933,668,
054,984,795,442,057,135,566,857,451,895,008,398,430,981,406,865,217,794,328,
286,096,498,921,937,785,538,797,264,028,041,603,975,545,343,840,851,776,389,
168,832,778,404,817,186,446,106,000,760,716,814,231,842,460,778,576,157,204,
226,385,134,175,710,212,510,433,954,782,570,194,518,736,276,250,153,847,888,
010,677,167,255,298,435,739,738,993,994,299,582,710,955,258,270,528,407,118,
983,172,284,507,688,295,891,822,115,831,903,558,202,481,247,304,027,610,735,
089,470,153,063,650,070,688,870,990,063,071,926,726,585,109,150,808,799,275,
666,945,044,320,102,528,472,006,668,777,416,613,934,994,743,733,826,925,158,
379,570,224,535,507,256,210,067,712,217,720,507,626,186,813,485,453,620,569,
686,027,741,417,208,987,841,314,880,357,042,194,015,556,767,012,866,622,489,
935,663,872,782,298,611,984,850,520,575,816,200,109,645,989,722,494,164,752,
013,905,089,870,178,205,603,440,504,533,701,084,047,748,986,803,994,475,570,
940,279,205,138,359,101,669,070,607,717,768,840,792,656,392,958,159,571,411,
744,703,300,342,785,863,128,627,555,613,457,446,685,961,652,716,532,985,569,
750,538,689,018,756,812,610,625,195,516,979,000,763,069,256,095,509,474,271,
263,522,104,088,065,632,539,619,919,508,913,677,012,843,708,251,774,717,986,
218,506,140,334,523,271,714,876,314,515,517,344,560,414,966,977,921,194,139,
789,150,910,389,163,754,268,616,856,478,591,325,693,752,183,809,959,961,460,
361,796,941,033,755,739,445,441,244,598,832,152,605,849,849,507,120,233,340,
387,242,915,935,233,618,036,322,644,392,986,026,499,097,610,164,608,459,312,
500,112,262,471,392,324,743,972,021,066,022,215,195,101,222,040,652,237,095,
313,350,911,553,677,470,723,033,195,071,468,615,711,918,666,492,008,692,882,
779,261,152,520,667,135,432,146,424,787,066,594,524,951,720,615,432,450,341,
858,147,111,552,733,432,337,480,322,073,730,306,539,061,736,826,578,664,647,
759,894,262,037,714,187,255,197,084,592,840,626,171,363,805,261,178,460,356,
059,290,866,905,732,182,602,253,169,545,599,550,226,092,457,444,579,268,133,
174,328,905,146,964,995,273,691,731,444,392,886,268,530,475,045,085,472,027,
632,385,204,987,456,293,058,010,161,550,659,494,395,258,955,149,722,017,558,
730,904,616,548,670,346,197,623,685,982,574,949,022,405,671,682,976,733,003,
097,691,608,027,838,528,535,781,651,584,135,858,118,526,154,582,089,440,497,
086,450,254,765,847,956,378,740,837,286,630,375,121,897,801,099,836,612,960,
514,801,396,566,152,180,970,626,524,973,632,626,525,391,409,060,583,148,082,
548,733,748,494,404,419,535,133,954,933,644,021,336,763,573,472,697,272,955,
883,590,601,447,794,928,406,729,083,226,956,775,692,016,295,432,062,159,332,
962,878,908,265,152,846,151,823,409,931,033,110,621,146,633,912,357,136,303,
274,000,576,233,971,824,405,437,100,603,883,721,686,427,002,272,853,232,968,
822,192,055,881,983,836,335,709,898,277,963,783,882,788,718,281,613,979,276,
151,371,672,793,970,781,698,873,931,237,729,712,344,381,880,180,264,387,102,
203,783,624,625,428,169,804,313,108,220,545,684,914,704,506,131,236,122,484,
037,962,784,277,384,950,781,031,118,156,896,254,393,688,605,485,341,005,401,
779,746,308,322,962,220,788,020,975,081,785,396,807,720,410,923,025,057,586,
166,509,747,366,339,840,194,122,777,761,826,353,263,384,449,919,182,454,151,
770,236,444,021,608,181,775,237,361,049,200,769,357,187,541,651,287,851,299,
192,794,302,922,232,928,215,341,432,247,732,387,661,993,337,091,032,998,465,
496,305,210,909,554,304,718,175,284,891,212,286,187,121,084,873,871,378,540,
564,622,552,107,271,682,753,567,804,122,932,309,785,566,466,505,413,787,761,
754,969,479,201,898,121,691,374,029,029,861,060,270,828,965,166,946,261,564,
082,418,448,729,709,028,609,512,865,821,823,126,899,442,923,735,516,472,061,
349,762,858,723,284,750,829,305,644,574,826,987,545,278,989,614,419,323,686,
362,749,533,241,248,259,173,579,448,284,540,345,206,157,563,620,667,718,820,
127,868,995,501,264,218,277,351,174,199,852,580,921,141,132,908,970,958,290,
908,211,406,427,356,274,716,452,073,526,605,298,160,783,731,903,998,738,597,
724,072,266,504,032,582,129,437,950,286,473,853,792,603,541,365,993,262,411,
146,236,995,622,636,662,420,092,037,860,177,917,444,402,171,408,628,023,802,
257,440,187,324,243,200,356,693,011,155,297,113,219,139,598,676,966,927,330,
885,233,358,723,822,135,555,633,213,962,829,029,472,689,410,963,299,658,504,
896,011,790,008,634,035,620,017,409,863,333,051,565,125,246,399,860,874,332,
981,619,011,573,049,926,228,310,292,779,529,268,991,288,270,608,081,846,986,
446,612,077,555,296,279,363,454,031,834,096,334,886,115,653,007,778,657,591,
450,507,012,845,354,813,633,789,153,691,872,530,850,922,396,932,666,319,901,
860,393,495,967,697,933,415,356,276,971,855,554,181,839,704,929,226,861,203,
444,901,429,477,202,344,807,561,329,517,057,264,050,153,213,471,226,304,963,
259,267,155,872,407,703,086,876,250,743,801,139,473,098,225,653,744,829,388,
216,660,769,489,229,622,554,986,680,699,167,529,127,383,947,039,626,337,035,
813,674,558,306,220,283,941,806,887,177,249,492,732,666,324,638,869,158,788,
532,516,416,541,376,234,849,808,608,783,134,312,223,920,625,028,409,720,453,
008,457,070,226,528,744,088,297,708,533,503,395,901,195,858,933,382,126,681,
596,600,703,063,000,628,993,092,341,621,926,610,739,457,806,036,210,135,616,
986,680,539,817,333,891,776,677,335,917,289,597,157,820,387,672,952,099,066,
908,918,554,667,675,011,590,325,543,888,520,438,075,277,617,296,846,056,426,
895,192,534,958,589,184,585,452,396,681,903,452,005,951,526,806,472,385,537,
582,515,480,036,545,222,732,601,115,008,903,069,978,451,870,388,529,308,789,
088,339,330,130,325,174,898,825,176,554,932,042,959,240,840,598,331,674,283,
219,400,191,021,174,158,669,471,365,214,363,486,498,881,265,772,200,013,045,
393,684,362,666,975,389,879,123,029,643,326,763,402,955,875,139,451,770,466,
885,421,918,243,277,538,591,440,433,516,117,978,745,912,515,446,764,514,105,
085,034,353,332,749,591,740,619,330,964,078,524,456,615,897,879,630,509,665,
035,756,163,644,391,405,229,506,681,859,656,490,237,287,950,153,014,568,776,
503,345,871,950,227,464,898,429,242,133,140,588,621,640,073,925,820,891,267,
348,734,923,951,369,126,225,143,664,368,496,351,497,882,973,944,080,956,384,
258,194,536,587,432,509,814,382,809,232,181,423,106,153,798,474,024,821,945,
718,470,336,026,090,413,316,455,634,589,942,218,200,078,219,203,937,252,064,
234,781,133,838,542,217,263,900,655,146,863,211,459,248,884,850,644,704,765,
208,324,536,293,730,196,200,340,398,754,355,522,105,667,751,946,743,138,783,
873,299,614,121,605,286,164,585,911,845,293,970,326,638,889,967,855,317,179,
508,123,571,417,237,376,977,747,294,383,129,509,119,592,473,238,653,930,161,
043,766,024,155,099,821,268,036,768,893,434,513,014,684,135,953,434,482,933,
912,791,698,546,871,261,785,198,921,498,310,387,486,182,182,095,921,954,033,
200,419,778,350,880,610,841,736,370,822,480,677,136,400,172,103,132,821,566,
187,066,679,391,454,176,834,138,688,459,615,830,968,972,733,946,200,172,930,
462,290,931,345,846,390,963,139,367,865,985,353,657,037,953,068,653,729,578,
136,961,713,342,893,484,684,977,362,008,801,432,423,139,841,445,747,050,613,
195,321,495,639,367,336,998,843,615,895,299,056,023,054,065,201,327,077,602,
467,968,985,751,252,336,119,812,143,812,142,208,200,589,693,680,184,647,903,
718,179,624,140,624,948,191,113,350,987,253,539,349,738,055,460,153,157,379,
550,496,636,000,421,987,775,364,788,559,880,614,106,047,295,894,747,774,897,
111,710,395,529,051,055,868,675,441,144,623,500,331,680,453,488,068,015,751,
184,238,088,836,023,382,168,902,909,820,669,787,641,313,783,435,032,267,851,
568,537,920,276,812,065,276,645,830,091,863,720,192,757,719,859,796,262,354,
302,548,713,300,061,976,748,151,802,905,741,427,973,589,061,900,715,737,720,
333,616,744,718,540,023,786,266,590,204,253,474,814,260,123,585,717,259,483,
958,355,341,044,906,752,782,012,983,197,180,323,444,889,362,629,240,320,677,
936,735,146,868,794,213,536,058,126,901,561,140,830,941,848,133,137,072,770,
121,547,580,949,088,315,804,600,062,445,615,749,465,843,181,349,595,557,609,
815,536,309,328,001,565,590,222,245,889,082,556,894,882,360,045,061,990,614,
981,330,809,056,231,858,582,698,594,369,559,846,387,959,923,474,132,123,610,
521,837,710,818,582,447,223,757,578,777,987,594,401,798,713,769,703,463,981,
439,648,265,346,266,120,849,346,982,847,392,583,262,329,951,317,749,240,047,
045,513,577,812,650,228,519,964,778,397,048,367,705,508,241,803,228,090,611,
431,611,939,257,211,163,485,802,975,949,809,093,643,371,947,020,367,484,228,
750,436,740,183,021,886,161,153,810,512,637,630,234,886,032,285,228,859,007,
537,047,378,020,420,661,952,070,318,708,154,243,458,430,999,307,698,021,029,
545,050,863,186,380,210,139,084,778,371,369,450,202,334,087,975,754,642,973,
383,380,294,110,997,537,169,837,561,740,664,634,174,428,814,286,641,032,297,
165,362,362,024,726,004,685,670,680,857,278,781,847,449,116,373,998,363,663,
119,492,503,670,477,726,688,679,851,940,687,480,974,526,220,798,053,585,185,
203,797,262,196,718,485,562,177,794,349,899,914,166,438,072,998,554,094,958,
263,820,641,604,875,376,335,358,154,874,488,442,169,273,048,045,605,357,511,
245,286,111,151,085,285,301,896,015,831,845,035,630,429,498,517,688,800,048,
957,276,608,738,089,815,287,804,023,823,861,894,395,930,186,159,290,023,055,
461,855,864,992,717,844,354,363,333,565,570,248,622,602,368,921,738,240,066,
249,782,154,954,649,762,708,061,365,892,072,265,148,168,204,458,189,034,771,
862,672,528,706,266,435,127,520,230,653,956,967,831,582,846,453,597,369,349,
646,145,753,677,412,379,135,373,621,492,335,528,443,300,176,963,497,334,897,
522,076,262,155,447,246,332,323,332,095,862,437,577,865,610,269,259,457,304,
104,502,682,642,273,752,342,238,609,549,803,278,943,956,975,114,266,345,014,
965,819,488,730,431,936,880,250,496,513,894,225,797,020,418,918,184,488,612,
486,525,749,437,208,221,852,944,523,705,179,712,672,761,791,382,082,862,922,
736,184,094,822,514,100,362,688,905,465,004,177,532,516,032,656,996,280,638,
035,201,523,787,998,001,188,920,792,691,008,147,667,249,902,706,843,890,708,
637,649,252,959,543,067,269,516,768,046,732,348,633,994,015,188,957,932,659,
434,942,538,720,981,880,044,606,129,083,132,739,666,760,207,121,990,137,803,
819,396,416,504,327,765,852,031,535,895,708,054,732,928,987,368,774,969,334,
430,976,835,807,480,390,953,511,437,689,011,994,078,273,171,310,437,148,789,
580,226,739,863,017,761,031,883,535,826,743,715,618,033,308,664,226,825,635,
228,696,799,032,711,197,863,287,966,423,900,051,308,308,747,241,995,853,199,
029,402,989,414,924,790,276,110,192,792,359,873,588,816,305,353,663,226,236,
338,049,299,461,291,107,753,957,056,752,690,522,508,105,222,857,977,845,899,
726,081,009,862,190,321,376,488,006,791,703,851,192,256,240,416,402,925,113,
255,039,521,865,888,594,474,257,135,901,251,280,227,795,056,182,778,545,542,
500,866,945,945,847,432,109,442,499,384,467,910,422,280,572,292,085,844,614,
197,208,275,829,610,915,416,010,104,678,207,678,167,718,651,145,603,348,580,
595,229,839,904,968,162,034,786,394,026,984,578,578,309,908,542,150,802,300,
305,093,893,590,758,727,705,269,797,265,313,763,591,135,524,827,232,913,137,
961,335,923,372,533,438,292,265,251,908,154,117,838,960,277,803,015,454,130,
524,280,856,836,062,417,113,744,889,961,053,886,385,521,807,297,064,479,399,
053,711,926,362,964,827,434,062,630,289,548,556,733,131,327,742,182,187,897,
394,085,455,453,635,289,026,212,675,887,417,274,486,180,559,209,991,273,682,
069,468,837,289,999,239,555,851,993,852,994,351,946,853,661,723,266,884,806,
457,103,719,703,793,999,957,119,370,494,744,099,587,842,196,065,451,575,662,
477,043,193,982,638,093,636,508,693,404,309,994,378,228,800,076,421,529,846,
687,679,650,023,897,747,809,163,106,580,873,118,310,562,364,981,387,998,688,
604,706,599,412,495,698,044,005,540,008,146,893,082,728,036,913,290,097,823,
497,353,785,308,146,516,123,471,614,540,146,905,942,866,181,868,749,285,165,
723,494,381,420,497,473,362,003,818,562,719,254,303,314,666,373,133,518,657,
787,011,404,490,881,525,957,355,422,219,427,588,567,853,802,164,034,980,644,
237,716,708,835,991,832,758,114,689,997,929,567,403,194,610,339,538,117,530,
479,249,357,770,687,153,690,389,231,103,133,383,099,655,872,710,827,177,674,
936,778,920,963,948,689,399,411,037,941,898,522,507,586,093,853,244,986,808,
677,256,677,246,271,549,963,779,171,212,977,388,697,268,995,121,492,594,357,
112,900,640,832,195,087,687,714,909,393,162,801,192,029,370,370,640,642,691,
720,450,319,553,282,722,141,462,879,692,748,170,363,125,430,418,986,546,550,
932,287,266,620,739,821,064,476,919,834,023,203,236,386,553,746,768,844,420,
089,898,905,295,246,178,440,286,337,347,487,161,202,626,019,730,775,329,086,
812,637,088,532,449,395,076,223,521,056,958,673,844,569,392,659,331,372,436,
128,740,266,125,788,183,057,102,945,335,835,695,379,353,256,442,571,652,945,
524,385,249,740,041,985,852,981,197,313,742,155,444,177,872,290,262,338,238,
482,775,746,156,412,725,110,077,970,297,846,236,844,998,612,538,816,815,877,
186,475,464,055,012,420,891,423,186,380,655,359,839,062,943,617,684,336,285,
183,403,763,521,713,884,576,033,374,093,798,629,321,702,539,871,746,650,248,
758,710,561,720,573,433,286,807,404,676,198,896,880,589,835,548,859,030,552,
225,722,523,412,062,248,023,789,881,193,432,503,858,447,149,015,608,104,335,
489,904,286,450,648,521,149,486,155,960,566,076,226,605,874,239,122,216,572,
265,037,095,449,083,351,429,563,882,531,880,695,268,008,985,507,784,807,285,
894,864,429,849,090,283,547,132,085,469,818,926,297,569,780,368,477,209,250,
117,862,627,778,872,873,292,114,405,830,020,246,514,312,314,902,495,774,621,
619,719,583,964,346,484,915,307,612,564,561,643,789,033,823,973,887,069,992,
152,433,328,723,748,442,066,095,983,183,961,789,174,037,007,877,602,004,823,
938,286,807,224,841,579,056,561,824,681,735,760,215,657,168,128,770,382,006,
667,775,759,734,018,724,894,250,697,065,782,539,916,171,085,797,981,251,328,
530,175,286,709,144,097,163,269,593,260,052,710,690,425,815,404,658,350,674,
059,523,990,032,591,363,240,826,226,573,861,782,041,724,517,089,334,956,373,
973,604,984,338,429,501,548,332,223,843,612,899,133,247,552,023,295,064,881,
462,839,561,429,236,055,359,527,314,940,249,024,739,877,690,298,387,900,996,
335,936,530,820,720,334,162,182,245,013,148,833,253,077,429,792,557,924,395,
860,961,692,118,394,117,962,415,951,165,018,357,895,297,236,409,720,867,222,
950,477,621,857,413,454,274,604,172,412,716,546,787,173,905,891,350,287,822,
603,319,877,073,924,208,483,513,208,675,622,521,460,494,235,110,806,950,718,
804,211,182,079,412,588,259,064,979,340,828,954,938,202,315,024,668,990,893,
892,240,779,933,096,429,399,991,172,713,170,407,133,286,463,434,382,226,539,
525,769,704,432,203,756,204,725,981,781,328,561,948,872,173,298,960,010,668,
296,756,967,030,142,623,834,150,915,903,815,435,920,122,811,184,910,899,213,
231,354,663,957,433,343,348,846,712,936,498,004,307,719,009,780,618,529,318,
359,458,775,666,531,811,335,193,616,142,747,411,594,344,377,116,169,772,133,
479,147,354,497,248,829,943,796,722,666,048,193,050,204,229,953,324,197,323,
340,355,431,361,713,624,571,675,257,179,464,193,052,482,843,533,564,869,815,
951,886,258,947,424,850,235,384,371,702,882,567,537,324,039,478,999,005,805,
153,285,217,608,850,468,575,747,000,831,669,684,052,450,499,269,285,581,649,
883,691,056,319,976,824,212,396,614,056,958,962,663,858,876,027,109,918,892,
131,813,545,079,110,737,199,886,355,945,414,825,556,965,478,690,260,307,198,
866,008,911,491,319,340,482,029,790,158,992,665,490,031,147,679,661,087,374,
369,970,709,979,037,849,948,070,782,754,269,020,178,219,917,666,130,746,517,
808,563,840,117,783,596,906,873,820,965,928,938,614,350,158,841,106,094,532,
327,727,753,209,070,760,388,080,339,520,906,577,018,322,377,884,953,542,928,
446,134,524,481,334,687,553,789,247,001,246,415,271,287,570,539,776,116,301,
785,101,731,981,450,472,585,924,325,384,678,374,913,537,426,478,355,959,378,
323,400,852,860,234,556,386,007,023,578,358,461,173,872,705,187,965,358,045,
176,947,044,626,262,099,381,153,462,285,852,368,615,554,108,364,249,048,212,
842,261,798,603,432,422,623,176,472,607,453,810,097,653,302,023,185,657,376,
818,188,934,515,966,339,425,018,331,581,961,415,338,027,708,797,639,303,453,
085,180,786,704,379,096,119,279,599,684,348,056,955,709,980,127,381,397,004,
120,108,004,989,908,845,378,709,202,940,574,471,043,238,468,643,146,521,341,
648,958,126,034,098,490,523,431,506,496,920,364,427,469,973,287,676,315,136,
380,060,140,464,004,548,766,885,254,951,961,659,423,495,936,059,941,009,624,
527,173,961,520,552,031,405,806,048,996,593,102,150,202,399,942,374,271,839,
734,101,326,010,552,039,162,742,476,746,082,906,593,517,838,758,267,754,960,
652,852,279,315,995,422,669,013,054,573,545,682,376,297,886,573,602,788,262,
544,910,527,636,253,634,320,050,101,550,814,169,203,886,054,780,557,231,552,
541,641,662,651,044,880,036,604,771,903,050,940,721,797,116,434,295,260,936,
769,252,449,585,419,704,394,953,700,989,131,080,566,806,236,233,621,565,684,
595,999,143,757,498,536,561,040,156,315,876,557,535,522,681,188,803,102,036,
199,622,614,655,583,806,509,464,245,015,787,822,947,038,084,791,498,828,796,
861,462,440,419,269,943,903,261,662,090,116,730,456,105,453,006,599,687,243,
197,606,487,393,018,059,690,500,311,673,656,023,476,165,285,941,871,861,859,
605,854,219,706,603,526,409,729,257,928,740,040,794,865,356,034,338,786,757,
132,357,485,981,638,716,320,566,351,177,684,295,427,654,340,510,300,372,919,
331,512,528,012,291,023,022,762,605,232,209,183,022,247,611,992,106,656,387,
518,225,077,831,790,694,394,051,240,392,559,855,757,481,245,686,557,226,029,
737,647,230,143,772,148,837,629,526,120,933,499,424,700,476,613,984,138,680,
913,733,080,445,901,228,457,207,625,316,063,433,820,661,114,332,274,110,866,
176,323,457,169,756,092,847,555,042,187,939,478,052,581,332,748,691,038,946,
191,642,463,591,939,994,650,589,735,091,602,239,611,412,077,540,618,082,872,
894,037,275,335,731,008,485,223,413,156,656,840,211,080,843,430,060,690,120,
158,815,585,910,237,221,140,743,346,110,704,964,666,561,756,285,841,016,470,
388,558,754,448,221,430,400,592,165,516,976,137,838,371,983,323,265,238,703,
153,654,532,270,021,147,573,804,977,453,251,493,708,110,519,066,097,673,179,
309,879,201,130,762,377,127,564,288,186,046,470,209,500,408,884,793,690,138,
123,666,784,324,353,682,444,922,996,712,119,362,808,852,653,525,070,745,659,
531,143,965,018,827,343,876,766,327,953,193,151,295,988,414,167,475,135,617,
219,604,316,214,987,448,457,009,806,938,293,588,228,597,924,253,997,921,582,
618,210,372,636,134,010,491,501,306,874,254,711,618,064,431,341,842,500,240,
159,910,956,944,218,332,273,505,406,101,839,020,650,321,741,390,259,149,343,
683,941,888,057,608,551,766,624,985,861,968,199,424,551,250,939,939,282,356,
097,462,751,793,064,160,715,803,290,735,635,852,651,644,396,355,336,563,625,
306,279,453,820,416,173,128,546,951,183,661,564,336,592,635,025,236,669,330,
737,117,046,435,684,025,930,007,263,365,274,617,025,584,911,683,920,570,601,
218,427,364,995,545,985,711,728,507,869,235,595,597,011,441,640,533,966,337,
395,379,233,217,490,286,467,068,708,045,134,749,613,794,794,097,090,381,311,
537,519,078,373,372,103,891,505,854,766,153,518,761,720,095,710,075,062,044,
901,322,579,021,581,074,338,301,470,446,303,167,910,639,052,517,357,899,257,
103,458,122,723,142,399,387,774,617,240,425,138,120,286,708,235,816,352,492,
646,841,901,078,597,847,561,651,652,155,624,344,127,192,669,483,191,803,197,
684,579,293,776,590,239,387,120,037,019,066,032,706,204,794,904,644,073,243,
367,374,591,744,404,659,691,374,484,053,986,731,908,196,719,777,396,470,742,
369,878,589,772,200,149,800,616,709,130,840,756,838,237,353,967,105,676,779,
392,758,552,487,685,125,968,556,117,846,205,833,473,515,204,024,031,390,055,
118,329,297,630,975,029,549,604,183,983,381,430,327,244,142,417,807,802,778,
715,090,775,637,241,696,602,716,605,098,907,995,416,756,156,276,277,866,352,
524,567,523,786,678,524,922,384,237,960,931,218,335,082,567,580,640,724,339,
396,634,639,371,271,508,147,760,693,393,731,145,083,469,491,895,069,240,669,
010,286,337,320,371,571,077,384,523,938,977,298,459,745,873,899,434,283,761,
377,959,648,667,265,584,230,492,924,303,703,257,537,413,640,939,969,639,552,
632,505,095,971,275,742,174,393,155,189,904,015,764,362,513,875,017,319,942,
211,808,383,124,508,733,486,114,149,604,208,564,606,354,264,825,366,131,234,
137,955,193,957,513,085,528,421,919,463,489,689,334,183,198,684,771,094,951,
608,286,476,079,328,948,548,892,593,306,459,068,317,621,148,640,692,150,293,
086,274,513,231,073,326,232,897,326,560,555,723,358,940,375,667,663,312,329,
278,263,764,201,854,104,967,111,853,020,535,833,174,419,943,010,582,360,765,
997,554,449,269,988,855,769,550,364,437,881,087,692,082,310,665,379,541,746,
050,444,710,355,454,646,958,354,949,058,816,546,681,215,992,318,688,803,117,
801,022,643,046,497,781,397,856,086,977,394,173,339,514,823,945,781,768,232,
002,645,498,386,727,897,174,301,126,983,546,019,301,198,278,005,991,558,233,
697,748,532,898,432,598,406,604,935,064,731,174,728,554,749,265,926,327,454,
176,815,258,958,061,441,413,807,452,083,933,174,620,902,585,213,358,969,980,
499,182,121,791,244,715,019,131,182,432,156,848,981,651,884,180,837,114,198,
451,589,146,593,622,794,539,823,544,257,171,368,678,290,208,559,765,131,912,
470,663,093,464,372,850,836,519,725,546,984,339,362,861,686,741,164,400,466,
252,913,790,851,039,725,368,526,236,151,991,707,413,105,401,779,754,411,539,
222,850,111,121,463,357,471,679,079,583,394,410,315,515,066,801,610,750,162,
756,075,531,613,541,426,782,763,364,438,435,884,383,786,987,803,683,735,688,
747,820,139,815,077,923,923,610,847,567,797,531,856,189,448,528,647,861,561,
288,325,482,860,354,016,707,145,620,444,107,853,246,391,649,089,168,931,081,
739,609,750,046,867,204,344,601,233,567,781,018,339,340,908,267,393,295,788,
633,788,897,220,911,592,918,127,072,323,045,190,052,871,572,014,759,506,386,
395,522,156,790,390,795,696,338,264,311,402,526,556,929,232,344,527,109,360,
525,485,065,217,467,743,355,806,751,247,533,745,934,275,302,541,919,562,915,
722,538,871,902,466,013,032,157,617,315,311,220,668,498,396,003,522,800,719,
835,103,530,018,776,797,814,538,014,063,538,832,488,387,665,675,106,760,911,
852,339,877,669,751,053,240,004,904,483,177,115,316,911,378,554,991,764,539,
367,300,644,594,812,565,273,254,410,754,422,555,334,088,959,854,012,789,187,
373,637,367,571,395,971,023,694,695,231,408,227,100,151,538,968,248,076,892,
902,286,085,833,554,914,657,097,251,520,560,684,126,108,203,301,506,793,834,
573,563,305,781,403,208,334,499,127,300,144,647,021,299,332,288,887,333,226,
699,999,918,149,008,634,675,404,953,225,407,370,080,799,369,376,075,965,087,
040,757,447,208,241,321,217,315,339,849,476,979,663,322,796,483,489,125,952,
225,582,405,534,869,956,915,772,968,220,316,730,185,019,823,454,590,059,236,
898,018,773,813,581,042,445,321,830,181,823,230,445,661,826,320,188,398,712,
806,440,273,648,279,475,274,991,043,683,987,389,381,546,223,118,347,173,603,
619,792,430,564,763,362,152,060,849,902,622,429,032,244,426,242,607,743,086,
529,715,489,585,369,187,824,053,916,207,500,487,508,188,839,813,117,738,059,
393,898,641,186,320,538,072,321,405,090,161,896,650,756,998,298,452,240,942,
672,717,827,646,369,555,183,576,816,723,971,540,118,112,705,597,939,601,827,
874,637,354,589,166,865,150,265,924,504,043,839,140,003,030,581,339,582,462,
269,851,346,567,654,333,435,959,889,764,149,736,905,346,913,428,608,789,389,
646,714,274,649,391,055,388,409,029,461,383,375,311,329,607,980,684,887,893,
797,644,404,025,189,513,122,720,125,495,649,481,128,810,608,877,748,425,323,
105,688,324,575,825,871,375,932,341,531,692,108,987,868,819,523,437,950,534,
191,575,811,801,308,825,247,315,526,544,630,082,322,647,673,936,716,334,201,
994,174,021,668,155,076,839,444,665,365,971,603,290,033,775,302,166,101,170,
346,930,420,073,242,806,674,846,178,965,585,170,602,006,079,671,734,112,218,
905,405,966,225,395,423,768,026,370,668,094,201,917,436,222,113,771,407,541,
474,318,662,732,903,742,563,690,472,761,638,780,715,089,289,643,645,850,322,
682,840,010,103,973,553,147,328,619,102,964,948,153,190,815,054,581,584,621,
721,862,275,362,083,499,702,970,658,186,806,530,051,531,834,949,734,695,140,
832,776,477,881,510,490,244,899,368,353,143,377,740,564,033,888,850,554,922,
929,921,805,730,608,148,773,594,096,679,095,417,925,812,286,656,292,418,560,
341,785,158,871,330,896,002,809,108,850,705,161,666,320,673,054,771,017,353,
441,839,282,326,535,111,242,645,936,462,215,936,502,218,100,689,794,280,453,
368,233,998,589,271,819,118,836,854,274,487,340,132,353,787,093,767,007,301,
634,110,279,036,060,793,104,638,042,162,601,576,203,548,208,729,584,727,894,
713,776,566,403,345,199,716,686,396,767,434,765,571,353,246,525,943,446,592,
651,633,552,254,754,855,637,819,062,803,374,767,922,700,449,994,158,748,241,
675,255,881,969,414,284,780,168,820,372,302,957,867,169,624,510,324,024,021,
636,161,531,976,193,215,822,774,237,301,257,979,899,640,495,491,183,661,696,
617,781,849,754,463,592,716,352,906,318,813,331,268,863,049,157,697,154,510,
901,453,656,213,475,875,036,988,882,569,009,867,947,378,105,868,101,517,407,
404,037,057,375,366,121,619,408,880,181,323,197,376,014,390,790,726,076,827,
553,191,344,183,639,165,177,848,033,396,920,888,995,299,363,491,686,161,245,
792,917,530,392,849,598,674,530,467,324,541,357,424,327,489,609,369,280,105,
506,768,158,254,807,137,459,710,439,666,805,504,277,639,412,680,658,478,292,
064,975,401,276,281,323,894,430,950,809,456,431,742,712,320,890,500,805,262,
181,847,322,349,358,706,113,043,174,325,182,910,421,417,833,970,331,397,886,
699,680,364,470,177,724,467,680,949,622,156,193,995,358,779,200,845,402,700,
408,443,887,295,273,569,951,313,330,733,042,524,417,064,167,769,080,154,365,
688,108,850,709,981,070,175,990,386,631,407,137,164,021,358,825,326,632,838,
158,302,629,984,593,845,769,821,674,075,349,616,666,033,615,961,564,630,372,
099,175,962,422,206,919,578,021,070,584,954,417,932,915,804,943,637,232,776,
075,725,072,780,655,817,749,536,606,182,790,151,185,803,524,971,212,750,762,
498,420,377,500,422,966,110,526,612,875,236,680,323,670,098,510,400,769,265,
533,695,037,740,262,485,864,608,536,459,458,123,944,362,102,015,330,596,414,
692,178,156,081,236,314,737,239,270,987,427,995,902,115,125,214,646,949,608,
005,948,772,494,224,600,381,548,370,578,805,126,985,002,427,920,795,880,998,
097,446,875,582,000,090,002,787,886,272,130,814,064,294,078,294,407,293,944,
728,979,582,423,580,669,745,639,154,585,697,006,029,967,721,244,310,229,364,
720,614,035,035,674,849,356,857,580,992,518,889,168,051,053,593,516,793,378,
622,134,224,516,080,624,351,802,510,239,128,223,389,880,320,797,740,230,864,
664,742,583,158,963,128,940,523,407,757,208,345,950,092,786,979,882,596,674,
052,362,912,579,345,369,084,826,753,548,146,145,617,301,061,261,110,258,077,
531,045,111,263,431,446,851,156,250,852,761,123,437,921,635,178,561,574,925,
870,957,675,946,084,818,729,838,311,352,872,412,159,884,081,684,414,744,050,
353,963,396,766,633,317,334,848,098,011,208,719,860,174,623,006,882,379,461,
386,327,487,761,249,731,208,346,073,905,588,526,580,225,651,620,051,683,926,
465,365,756,087,898,831,937,411,050,601,057,833,492,537,928,398,395,513,845,
524,195,077,159,792,094,681,040,222,830,805,861,407,952,560,451,525,576,748,
167,992,639,709,094,983,524,857,863,507,297,422,233,927,984,391,967,304,381,
889,975,479,646,342,209,782,436,900,231,838,650,324,605,845,051,870,877,313,
609,094,806,456,657,744,906,512,545,980,922,093,884,332,172,020,374,187,696,
362,727,022,689,843,442,770,664,687,339,013,949,958,493,886,228,936,465,421,
374,630,320,887,279,285,035,408,330,752,399,554,533,657,310,730,133,393,597,
048,398,184,708,320,950,120,662,945,121,313,157,163,410,368,816,847,561,494,
585,831,400,804,335,449,276,153,045,505,468,806,729,350,008,167,058,879,816,
181,738,364,109,239,025,775,616,468,941,116,086,164,456,429,127,678,634,006,
239,098,755,333,554,048,339,364,300,164,397,543,806,884,414,505,109,470,430,
309,788,235,331,863,267,402,319,117,167,812,577,297,327,679,990,545,648,879,
834,550,241,885,371,339,821,640,184,038,701,342,709,892,254,916,572,451,885,
232,217,338,169,820,761,857,967,611,478,288,016,386,994,287,594,154,944,266,
136,825,910,279,537,181,045,236,280,721,604,816,396,805,724,464,259,081,094,
547,305,779,150,450,133,859,057,453,661,135,321,661,861,381,672,661,520,471,
012,577,322,050,879,267,873,680,274,964,161,040,877,415,598,617,319,069,302,
092,330,752,173,269,345,891,733,204,309,727,150,413,427,687,470,968,168,905,
860,395,802,710,990,185,759,887,330,644,041,585,136,899,446,201,303,370,409,
633,809,213,145,229,762,018,177,436,668,529,458,839,395,442,328,286,294,157,
816,636,393,634,303,825,822,097,425,546,879,497,848,314,509,466,471,185,439,
369,766,379,632,397,323,447,062,866,466,603,997,284,737,116,174,593,840,820,
013,913,993,619,858,268,660,417,853,794,196,576,433,816,957,707,476,258,914,
532,342,611,755,177,145,201,459,144,976,209,352,796,200,593,061,449,773,431,
130,291,354,726,652,600,766,450,356,653,797,435,125,365,737,001,923,303,717,
250,561,099,922,483,376,034,896,164,634,176,378,335,685,064,901,192,037,171,
213,548,657,017,974,321,200,834,535,511,027,641,343,343,096,522,428,826,886,
622,124,381,100,966,050,908,080,009,321,580,849,863,408,841,711,861,095,004,
607,633,934,876,936,911,120,708,599,917,881,006,712,850,431,668,712,505,624,
890,641,209,423,379,960,214,496,052,363,955,213,912,129,020,351,008,012,830,
402,216,591,966,635,571,988,559,062,414,208,858,470,388,631,220,325,434,398,
050,627,855,086,575,077,909,760,675,977,863,693,970,158,684,404,998,120,971,
704,958,365,896,656,917,948,799,783,957,051,680,312,651,713,705,550,920,600,
698,375,820,013,357,659,406,839,723,444,309,180,727,830,459,296,231,558,368,
029,972,623,583,214,186,860,782,117,354,275,746,028,599,510,718,060,613,652,
733,459,547,541,523,424,981,678,600,655,748,426,125,458,947,753,407,527,513,
738,007,212,516,083,360,852,235,085,676,267,401,693,100,629,477,672,911,775,
341,650,399,860,305,772,961,821,001,605,930,485,092,908,666,610,846,454,835,
131,351,921,594,451,199,016,002,687,509,094,477,877,080,545,890,723,370,711,
189,607,592,744,796,768,166,791,703,796,238,051,346,939,208,169,490,246,867,
521,666,219,224,385,185,912,225,850,753,525,773,732,136,609,530,131,783,878,
766,023,252,837,052,061,669,199,289,423,021,260,194,570,893,916,913,071,033,
746,298,864,418,772,224,965,771,537,227,484,718,428,925,490,018,771,867,938,
821,075,286,552,828,917,424,472,235,277,214,711,538,112,474,091,944,420,918,
919,025,370,280,618,463,172,555,384,296,342,935,861,153,897,689,410,693,885,
799,792,930,325,032,239,435,612,398,494,232,034,245,862,756,331,784,479,612,
395,455,828,571,087,024,124,852,198,980,722,795,852,667,457,064,649,089,706,
837,893,124,179,917,685,451,542,113,782,869,077,494,605,983,639,529,586,267,
834,313,545,090,701,430,152,685,972,973,293,057,782,184,925,193,186,479,515,
696,348,065,631,537,873,379,559,068,348,001,858,459,672,339,478,173,978,668,
379,046,496,952,123,126,953,278,024,277,053,159,645,914,816,857,329,283,512,
919,240,970,345,922,710,887,888,189,416,397,686,989,100,839,057,945,998,451,
960,629,785,559,147,820,721,549,266,506,932,251,832,059,760,485,997,592,494,
217,394,737,915,430,304,450,649,764,439,184,856,442,822,817,883,629,220,088,
293,747,041,138,821,416,237,292,916,510,520,734,952,347,024,847,954,126,805,
926,357,525,428,743,545,051,227,677,366,466,228,579,271,474,248,151,379,227,
862,293,500,410,243,434,690,824,530,464,345,436,743,784,238,811,201,582,584,
004,110,105,456,212,645,007,914,764,322,219,696,315,582,988,828,366,466,853,
907,695,948,853,445,290,265,220,702,527,490,710,908,893,840,071,155,209,244,
149,942,284,009,763,189,629,245,254,799,861,625,265,562,164,251,469,287,637,
953,536,760,681,462,786,464,418,656,245,272,860,464,735,801,785,336,050,671,
304,247,238,225,203,467,024,522,350,465,339,332,087,965,375,669,120,348,330,
474,346,077,259,426,158,253,067,798,000,582,723,214,126,930,703,006,429,057,
885,173,186,031,657,724,250,253,376,428,435,041,931,783,614,438,400,760,691,
239,166,087,253,584,464,373,242,803,227,151,124,725,384,488,028,085,180,368,
257,672,335,584,121,493,392,707,978,011,460,037,539,620,857,757,847,937,671,
843,342,556,967,645,421,029,427,334,572,279,225,333,446,536,602,423,895,257,
173,604,543,002,380,712,933,773,866,177,679,381,445,662,796,931,315,963,772,
556,529,020,917,260,062,842,625,752,729,981,750,130,267,061,818,728,419,629,
112,314,720,418,795,817,492,455,633,180,502,823,217,119,201,654,109,913,452,
410,881,002,892,246,962,869,672,102,900,155,032,818,263,642,385,180,172,127,
717,041,311,259,589,567,635,288,702,269,921,233,733,121,587,662,116,436,007,
749,413,570,314,772,080,839,421,447,051,583,185,831,250,028,845,008,616,688,
261,465,189,402,794,976,143,069,398,986,848,805,486,572,630,068,213,531,004,
325,584,881,221,769,906,779,139,127,176,557,647,469,961,790,918,489,645,084,
337,881,209,088,412,934,185,339,947,506,848,478,068,202,161,331,761,877,290,
895,335,219,059,363,840,628,717,331,342,941,246,457,542,652,516,437,933,607,
070,634,117,286,225,792,719,430,305,561,289,921,390,246,167,554,492,131,811,
716,539,859,728,707,424,126,134,547,333,320,820,785,487,655,400,832,349,340,
528,188,990,041,352,145,046,666,987,780,867,397,211,790,625,425,924,590,020,
923,416,380,685,994,352,978,027,237,391,628,351,219,951,289,361,252,735,903,
231,816,675,634,388,491,192,932,021,959,274,129,346,056,630,962,663,295,093,
294,685,075,132,048,521,056,039,082,448,635,110,850,844,920,663,023,957,571,
402,490,116,068,545,256,871,204,505,440,975,378,550,090,632,198,241,519,214,
712,408,214,839,773,828,266,199,685,802,040,778,872,171,414,823,616,704,612,
676,599,724,648,711,917,655,986,948,928,796,977,033,666,838,967,767,081,868,
561,372,557,610,258,669,594,390,218,456,042,140,518,848,804,365,863,014,977,
712,295,559,525,331,845,463,931,071,226,057,574,812,192,109,189,771,589,519,
744,784,774,492,119,353,570,777,307,325,236,460,095,745,621,034,398,995,076,
111,440,525,710,269,113,205,682,247,925,739,015,259,386,410,078,490,785,975,
593,967,856,242,107,664,855,013,337,756,818,178,604,214,616,507,925,135,361,
873,574,874,799,587,821,053,068,721,831,472,809,577,663,451,049,976,935,394,
998,501,672,703,376,558,930,013,748,797,217,706,746,711,185,361,669,656,688,
194,480,887,171,829,236,707,986,232,412,464,773,542,461,756,430,302,038,436,
346,568,259,336,023,242,260,126,062,759,050,570,648,755,985,422,494,046,541,
911,736,599,075,408,426,767,669,459,991,818,036,673,209,504,794,060,697,929,
141,885,775,797,139,891,278,102,278,557,447,888,338,478,862,754,011,548,941,
503,090,206,878,155,227,630,631,053,987,399,695,905,826,574,208,242,297,659,
721,969,329,516,474,082,174,253,955,351,791,311,550,426,965,878,556,563,002,
584,629,455,494,279,391,791,435,209,645,683,884,194,668,172,233,610,642,636,
056,159,660,809,203,426,616,267,397,291,957,335,693,493,624,470,434,245,619,
528,598,698,470,542,519,258,999,549,378,507,794,535,122,767,749,363,077,603,
912,561,525,222,148,907,596,718,321,088,485,357,597,685,396,575,416,455,285,
522,127,682,750,122,912,652,858,655,380,681,343,761,909,899,816,683,728,106,
694,376,841,026,241,763,993,026,340,026,436,351,737,402,522,172,356,218,119,
578,680,314,719,018,342,734,292,441,483,304,335,728,858,999,892,309,748,387,
531,143,882,122,843,009,270,037,304,331,798,484,944,414,175,304,591,950,791,
782,063,742,895,746,697,811,420,493,150,103,605,590,715,518,456,441,994,163,
661,065,537,852,501,845,437,215,340,947,362,898,573,560,967,566,797,385,942,
210,556,000,915,915,867,568,431,168,501,093,625,415,220,030,364,167,754,387,
983,116,659,251,199,407,919,871,152,598,296,798,651,851,670,854,807,944,381,
926,460,665,207,503,520,196,740,328,013,302,833,769,053,691,444,642,836,164,
316,917,587,459,038,546,109,606,259,356,613,514,341,817,231,391,449,349,636,
967,185,577,231,663,560,189,127,790,716,028,574,912,741,019,431,550,572,477,
742,258,306,900,508,239,086,310,596,117,278,138,572,562,698,788,880,249,639,
653,128,975,271,358,977,452,518,461,067,103,575,529,988,045,171,162,293,808,
536,927,832,303,954,064,684,280,534,570,712,209,129,830,918,914,439,872,110,
727,666,105,656,251,734,149,619,873,718,644,619,753,027,046,395,368,989,792,
839,309,224,576,185,636,917,111,115,764,368,192,585,196,902,012,376,080,166,
081,052,447,250,127,883,807,349,904,617,517,504,177,911,386,146,942,023,871,
749,696,915,982,633,429,666,120,512,657,394,262,695,128,895,907,865,211,797,
089,674,453,389,004,455,059,414,231,443,858,363,929,570,464,463,121,261,963,
371,748,999,701,072,749,100,414,232,733,266,363,109,409,141,117,373,665,106,
604,032,531,261,621,400,192,895,128,298,571,843,374,628,771,394,756,755,757,
463,526,623,200,353,510,933,071,245,382,135,872,394,679,767,656,584,462,557,
275,348,523,515,578,868,303,043,797,291,139,368,959,870,698,067,698,200,408,
018,617,324,831,617,811,209,770,489,920,210,972,962,237,026,217,748,551,558,
673,121,278,978,733,057,494,269,813,171,753,979,846,208,995,324,162,532,246,
859,338,487,297,359,040,543,354,749,853,477,563,976,542,899,873,354,102,091,
614,357,380,688,693,038,802,935,684,293,218,054,682,956,084,722,060,953,900,
916,085,808,863,168,912,165,816,455,226,721,353,779,344,893,652,359,429,000,
865,338,468,165,403,061,906,792,667,885,123,834,061,109,478,407,681,377,427,
709,933,513,853,891,804,550,795,545,511,145,404,992,557,211,552,864,519,686,
497,079,477,312,807,274,838,073,815,363,743,990,863,600,508,699,753,951,502,
646,806,007,585,713,586,993,098,659,614,004,630,559,795,462,576,181,839,443,
947,856,532,695,662,742,754,418,660,432,107,101,437,387,571,074,217,336,959,
162,549,679,814,910,274,380,865,690,197,273,436,932,092,562,308,072,695,292,
666,947,302,078,194,377,951,402,410,899,399,209,121,325,005,226,975,657,751,
281,162,256,964,820,659,558,985,475,212,137,907,206,093,396,035,569,340,551,
234,924,443,375,298,839,724,155,033,113,181,515,704,475,655,084,806,249,792,
486,741,929,724,681,221,540,860,727,270,339,207,859,168,823,819,046,917,092,
431,624,951,463,731,998,964,951,159,631,063,201,644,390,709,326,743,163,068,
210,461,966,788,470,504,477,858,572,063,633,121,781,015,281,366,879,540,837,
154,831,094,034,839,074,466,717,930,723,299,482,914,987,927,312,585,757,634,
177,872,972,876,299,052,186,915,254,624,618,946,384,585,906,247,779,477,457,
988,773,373,313,959,154,999,928,653,178,846,281,657,867,246,384,643,691,388,
669,426,494,700,189,069,586,715,290,625,025,862,568,532,290,532,564,833,382,
765,269,151,819,073,065,036,159,384,303,744,412,100,963,983,148,972,451,303,
577,087,255,551,182,171,780,929,854,695,097,809,522,329,326,061,197,828,150,
318,297,828,618,189,166,019,900,184,666,633,062,805,540,274,888,700,166,275,
074,447,767,265,023,509,164,474,921,575,389,970,958,888,789,775,708,567,793,
782,336,849,004,902,327,190,359,725,980,172,604,652,721,385,512,403,662,094,
773,611,396,699,364,417,401,929,825,284,701,201,576,279,841,439,553,074,010,
715,117,366,632,059,502,233,823,809,769,373,511,747,560,066,554,593,379,983,
885,215,138,639,340,355,886,330,674,465,580,686,097,241,053,266,668,266,233,
509,379,020,333,446,615,876,896,101,586,031,866,390,960,642,161,604,947,870,
303,132,995,764,489,407,368,725,184,128,091,894,736,481,239,584,563,524,549,
542,406,670,817,628,142,008,107,064,387,762,302,763,690,240,434,966,624,803,
508,668,457,964,877,995,911,324,506,483,519,470,251,923,000,191,584,001,529,
139,623,945,287,762,211,089,134,496,987,853,527,173,177,130,712,459,244,156,
081,469,146,520,394,433,084,428,676,714,338,928,500,478,710,587,588,455,411,
344,007,399,420,206,830,789,832,690,010,762,437,181,703,330,208,752,546,351,
851,435,105,351,602,310,227,055,270,618,598,698,262,297,530,598,301,690,411,
593,528,063,811,581,502,939,561,963,125,159,287,586,397,981,098,358,532,558,
452,279,605,898,347,323,834,636,665,527,077,760,664,249,578,509,288,835,349,
535,534,341,696,164,781,765,806,445,342,120,390,292,547,094,348,746,280,576,
423,840,252,000,119,384,527,405,749,732,338,887,942,383,493,771,695,238,359,
991,313,639,553,632,484,472,655,735,468,229,092,237,720,363,600,642,825,450,
422,823,961,748,437,504,354,911,352,557,224,574,341,230,433,262,134,867,999,
413,799,673,785,598,043,232,376,925,516,636,680,607,621,181,018,424,965,241,
075,300,729,120,749,779,784,028,086,787,377,815,392,459,476,572,701,327,567,
215,626,467,302,836,260,214,335,023,401,233,227,657,731,888,876,669,547,993,
400,062,833,047,819,364,601,440,295,007,598,682,642,038,250,562,481,745,233,
934,883,309,216,302,321,856,157,428,007,436,320,097,814,022,151,579,689,223,
756,191,380,909,342,765,686,647,334,772,195,075,563,818,836,100,374,439,944,
610,065,424,823,414,048,582,428,477,133,210,608,088,910,908,019,901,730,067,
057,770,821,977,370,870,382,703,809,752,681,889,962,581,540,028,338,342,814,
671,492,572,435,753,231,265,810,492,707,858,083,042,678,286,341,683,649,171,
583,921,883,030,693,901,668,464,284,288,463,721,087,042,363,537,020,828,611,
417,517,552,707,228,704,658,670,011,678,334,362,280,837,674,472,610,362,973,
902,674,834,474,958,412,917,530,710,904,896,740,772,485,355,844,270,857,826,
806,545,923,528,867,414,310,463,551,329,072,629,750,962,617,262,036,231,182,
776,852,629,777,231,375,232,670,872,317,341,604,910,144,497,664,666,246,473,
102,123,286,463,791,129,796,480,977,431,375,746,303,959,768,801,796,229,460,
639,940,173,608,888,621,576,184,450,423,971,049,478,316,614,248,912,418,579,
948,653,386,295,625,403,821,712,393,793,056,212,754,617,195,636,253,947,990,
817,233,623,650,530,359,883,868,991,458,688,780,185,396,582,256,932,655,947,
149,266,433,526,959,498,792,408,905,364,339,042,040,571,583,955,758,397,097,
909,073,908,846,821,780,217,612,026,781,494,198,248,071,272,516,240,976,332,
498,475,330,273,481,794,804,826,532,558,780,341,364,319,356,548,623,349,376,
817,075,912,289,451,166,921,852,165,593,993,954,869,213,204,249,623,920,055,
371,187,794,173,036,954,977,191,393,622,743,514,853,827,341,691,582,971,007,
302,586,734,640,299,435,314,085,421,175,423,714,003,038,059,849,439,038,216,
469,730,044,986,663,257,132,111,907,964,934,592,356,418,756,532,522,094,068,
761,701,487,289,690,282,983,564,050,724,629,921,194,991,004,107,252,686,831,
112,792,873,378,077,753,263,849,898,421,975,904,146,808,843,194,310,428,569,
728,269,452,053,846,368,329,403,781,061,361,784,999,254,809,066,615,130,704,
191,638,632,315,200,935,675,877,527,078,334,169,903,912,988,033,832,485,984,
305,669,887,717,351,142,650,438,852,002,871,828,953,013,819,100,460,314,937,
108,709,755,129,485,231,087,952,106,976,190,401,495,766,078,048,951,428,722,
894,657,001,654,007,022,613,508,083,523,424,416,677,851,151,540,838,995,085,
882,778,368,663,947,034,416,428,016,229,215,206,320,056,210,133,605,974,538,
182,833,723,317,354,590,850,149,280,915,732,744,750,839,837,373,639,213,948,
216,947,204,688,312,784,272,505,707,520,796,461,221,988,896,608,487,468,049,
654,293,559,369,073,025,503,754,118,940,199,910,490,076,274,964,284,713,849,
269,986,172,381,114,369,393,027,633,737,788,680,890,509,531,568,277,617,254,
223,716,298,435,265,733,792,863,844,006,553,140,643,693,293,431,226,673,472,
431,753,499,398,583,020,598,965,046,267,963,358,646,922,638,570,325,159,776,
573,937,552,901,268,209,833,952,693,429,288,682,592,799,261,530,330,375,765,
194,250,963,199,126,614,708,310,830,798,410,414,279,236,113,330,346,448,729,
783,553,735,944,803,163,865,028,434,261,887,377,510,138,448,629,420,589,351,
668,021,451,702,638,665,654,636,733,106,015,917,084,797,632,840,313,764,124,
001,161,869,701,702,154,355,570,167,236,570,142,489,787,768,707,496,283,330,
339,123,459,035,599,234,212,450,615,867,738,486,439,015,144,303,896,964,702,
348,294,134,674,812,293,804,162,975,208,107,951,972,724,261,468,200,339,625,
708,553,094,981,099,213,222,129,177,934,807,673,227,057,559,204,116,304,101,
001,730,264,758,497,817,130,781,289,748,044,077,922,102,730,263,207,245,106,
127,565,961,047,250,637,514,576,598,149,584,235,834,406,983,146,029,419,460,
006,106,892,033,452,304,391,252,171,748,961,163,052,788,077,675,431,490,702,
720,165,224,929,749,529,941,388,576,025,740,718,791,376,769,275,737,146,763,
621,643,154,608,175,043,326,266,739,651,782,811,803,215,883,391,588,100,587,
206,721,446,986,156,389,791,589,619,916,831,157,910,914,578,139,086,635,527,
500,526,309,622,760,898,431,929,856,124,381,421,787,385,995,096,489,053,900,
753,203,004,667,644,580,382,156,618,038,724,160,700,490,122,756,438,004,185,
233,629,097,481,518,996,741,441,355,872,111,716,630,819,812,412,900,276,368,
029,263,391,295,947,473,209,645,642,254,950,966,742,968,387,922,938,374,389,
869,064,547,087,052,929,971,790,494,377,051,034,505,329,933,377,133,168,154,
770,871,850,506,354,875,351,650,807,661,465,504,612,949,792,740,094,496,673,
791,827,247,908,974,762,433,434,874,682,512,707,490,252,378,212,922,934,811,
707,028,827,038,834,484,206,497,196,635,493,609,363,468,564,407,925,356,532,
155,481,296,417,794,948,438,693,653,596,646,598,456,481,086,480,811,116,711,
343,684,360,784,338,718,104,528,384,363,044,632,833,090,174,924,105,184,697,
458,681,031,649,574,705,319,197,050,615,884,895,293,983,161,887,345,449,104,
832,125,373,486,972,073,576,554,031,331,130,608,198,208,369,112,497,713,971,
684,914,749,823,541,219,388,239,779,052,718,732,939,477,038,300,013,734,023,
826,236,691,517,890,937,833,130,522,359,414,881,037,128,281,593,084,467,357,
740,974,872,792,546,934,765,884,912,069,228,549,805,767,194,293,945,648,872,
996,260,322,859,900,128,936,874,989,784,871,260,205,250,509,605,240,090,833,
523,107,151,596,987,750,846,257,479,581,846,698,225,979,512,320,143,877,388,
679,532,361,494,157,913,501,452,274,619,065,737,474,418,847,118,106,844,818,
005,610,340,446,360,684,892,496,987,893,887,839,189,871,760,630,089,328,954,
127,156,081,205,284,855,518,085,692,364,125,820,473,575,347,412,469,219,109,
932,209,154,772,751,819,624,173,667,895,025,017,251,027,125,577,928,879,581,
389,761,613,243,573,182,361,493,907,417,098,610,443,688,203,208,869,774,315,
488,192,422,371,561,757,204,859,096,859,500,739,923,311,695,852,952,540,323,
502,182,795,471,054,306,818,810,255,889,532,098,448,967,317,617,084,464,455,
119,344,879,179,762,289,282,900,277,877,331,935,037,457,287,671,374,228,794,
907,605,235,277,175,485,543,976,167,244,801,718,332,763,366,830,036,083,198,
278,125,580,781,266,929,522,917,453,122,464,701,557,501,243,967,694,108,302,
632,977,806,907,601,296,817,355,816,000,754,931,947,719,448,304,223,858,828,
675,677,108,674,254,299,013,899,727,783,131,109,749,643,605,832,257,898,596,
889,552,365,255,987,534,103,175,691,665,335,789,980,921,707,999,031,566,512,
614,365,814,876,600,564,298,706,354,732,325,704,995,916,074,236,568,452,779,
028,808,220,519,403,983,747,858,481,903,062,074,031,630,408,034,856,653,194,
822,690,645,485,592,452,547,095,254,285,487,769,919,482,462,392,170,244,151,
479,384,244,292,859,795,309,761,138,520,309,566,601,590,068,004,476,974,605,
898,325,012,281,907,726,056,516,100,162,013,197,756,794,136,187,603,963,768,
880,408,843,071,511,050,483,665,081,178,168,175,845,206,732,886,601,425,218,
382,097,514,423,721,657,390,551,763,478,987,654,298,009,104,927,691,991,872,
006,603,706,489,062,563,922,588,578,876,320,590,772,495,316,940,613,780,068,
730,926,078,171,514,978,169,269,355,167,358,107,356,160,861,651,665,270,667,
298,602,540,685,192,786,474,408,988,819,638,265,993,578,743,149,337,905,661,
631,280,210,098,582,592,360,624,264,807,574,619,261,898,774,213,355,608,765,
326,620,297,771,775,303,624,207,113,872,612,259,367,536,632,987,104,419,811,
456,641,133,437,010,223,464,921,450,463,693,663,014,882,901,868,224,962,567,
881,811,863,333,211,173,888,579,080,593,152,218,237,416,846,681,556,666,852,
924,636,298,141,257,237,391,960,580,535,538,622,808,809,567,680,584,347,973,
640,165,498,781,354,684,575,013,612,520,077,203,409,962,502,412,553,747,741,
890,485,417,376,850,877,929,161,562,793,632,709,569,344,375,272,438,976,439,
070,331,094,076,251,671,982,369,146,764,262,463,081,993,232,838,793,084,302,
286,309,910,425,006,095,852,990,483,256,339,391,239,508,863,664,727,652,898,
663,692,616,114,179,443,655,817,989,578,615,995,651,387,151,784,334,356,812,
087,152,218,409,300,945,472,214,697,763,129,650,096,041,284,702,043,834,386,
520,804,743,669,580,768,956,758,616,384,529,685,098,175,137,818,854,376,566,
036,224,273,307,147,654,465,986,584,668,338,700,596,842,353,511,301,820,696,
836,125,778,430,146,676,885,613,903,376,504,688,473,831,735,016,117,477,004,
545,910,454,957,765,790,024,437,299,152,834,823,993,289,356,653,323,649,327,
105,002,165,402,229,018,828,148,521,472,377,562,152,014,119,730,390,147,383,
254,451,889,420,562,675,861,033,011,867,805,675,416,392,386,059,055,029,378,
549,442,850,856,930,419,387,276,546,806,422,801,377,920,694,003,287,247,122,
634,640,677,129,781,617,217,372,615,331,902,685,609,650,023,412,126,843,600,
743,018,641,169,427,759,580,685,952,490,012,175,562,529,958,573,730,657,329,
748,033,561,920,496,980,140,955,722,381,068,906,615,158,584,833,932,615,171,
718,159,592,391,423,374,711,866,944,746,789,245,809,578,978,781,226,287,217,
260,063,657,499,897,562,739,763,343,795,847,048,445,559,514,960,307,760,950,
743,454,910,982,788,296,603,423,350,988,512,472,771,955,387,277,278,970,454,
374,452,798,774,994,259,092,800,127,463,991,673,653,288,265,851,285,961,354,
985,966,533,167,881,821,661,875,253,943,466,638,268,246,159,877,660,296,778,
852,802,326,902,248,557,670,445,284,668,648,291,784,689,317,101,490,516,160,
180,041,496,144,054,353,053,338,130,243,578,865,891,556,079,343,626,720,612,
157,427,318,694,266,312,992,315,845,441,059,849,681,966,510,203,559,798,156,
715,341,721,928,104,437,690,458,850,691,068,850,277,804,187,803,528,353,311,
499,588,388,187,573,857,110,723,093,272,132,287,203,983,731,473,237,968,625,
744,282,689,971,292,945,239,763,863,851,548,746,557,236,070,487,106,657,264,
777,901,618,451,426,898,128,349,769,297,139,730,703,983,749,614,007,075,138,
136,519,684,778,312,998,729,345,528,043,599,027,061,917,331,454,369,052,739,
039,886,368,775,161,108,271,789,561,644,125,163,442,275,033,835,397,470,101,
195,937,042,917,669,822,770,847,840,249,854,567,429,575,380,335,540,471,791,
430,158,116,609,723,081,922,050,317,285,773,783,363,878,207,671,469,710,007,
462,599,462,911,875,107,361,211,569,738,052,445,000,331,701,244,959,673,775,
710,149,203,800,935,295,344,535,130,781,742,400,839,027,366,747,433,229,933,
287,371,826,332,700,534,437,927,837,842,002,425,799,989,433,126,392,072,397,
810,510,497,000,347,721,894,918,293,599,727,343,825,211,385,336,987,378,564,
949,174,774,941,115,895,339,262,292,426,521,199,661,727,208,598,646,167,255,
496,925,169,524,022,015,886,786,669,663,609,520,791,324,124,900,765,599,429,
434,025,644,783,629,586,384,534,847,700,850,732,167,694,652,220,310,872,803,
764,197,410,676,350,918,383,205,797,394,665,009,168,620,276,954,520,162,704,
565,046,098,204,033,308,712,972,229,279,798,821,050,614,691,289,741,825,711,
163,490,399,276,188,226,959,015,993,079,953,724,064,561,962,075,452,220,897,
282,914,359,479,579,641,827,694,548,435,551,753,786,740,060,236,353,743,892,
779,381,572,933,822,405,130,462,860,891,637,453,505,748,633,685,434,838,202,
129,911,155,838,643,506,981,329,550,694,310,464,686,037,451,028,801,732,140,
715,330,624,980,090,692,386,027,825,214,473,513,519,380,634,702,717,452,425,
235,160,524,257,980,431,763,823,516,019,314,176,385,725,929,669,552,382,999,
900,056,808,451,746,215,310,143,459,899,035,239,933,063,250,545,027,260,150,
997,985,807,155,255,221,329,261,064,167,455,331,634,371,095,380,158,031,051,
486,449,306,896,775,140,989,355,938,172,614,261,367,050,293,349,618,267,103,
419,413,853,075,218,915,138,991,724,763,203,866,443,856,514,339,308,719,323,
979,025,113,134,673,341,044,348,769,514,573,384,283,242,270,507,059,479,107,
108,487,745,956,740,369,735,573,943,298,182,285,440,482,007,182,497,337,542,
271,628,787,775,426,545,919,352,867,260,259,077,103,863,652,739,781,294,232,
487,662,942,562,615,529,799,272,448,340,260,098,999,383,976,512,835,250,372,
917,399,726,281,189,846,787,334,183,238,091,913,070,373,385,278,226,960,454,
737,636,443,092,814,059,186,876,810,697,171,023,769,876,528,959,245,421,318,
540,427,872,726,152,929,210,474,630,627,448,961,554,437,369,327,569,048,233,
854,152,663,485,578,807,726,113,823,778,802,815,266,949,572,792,250,138,798,
682,285,240,969,637,656,011,041,353,997,025,922,407,504,395,156,511,622,075,
161,326,745,684,383,204,054,604,634,621,213,893,768,184,138,570,585,697,006,
805,564,815,796,858,331,533,048,971,363,001,525,417,745,917,183,271,719,136,
251,793,228,604,153,809,171,399,050,572,763,572,925,549,458,386,767,675,701,
488,782,868,906,116,333,894,484,147,068,933,470,404,116,421,115,230,614,895,
990,981,102,028,306,230,073,163,546,119,826,481,198,335,293,922,504,982,993,
689,390,512,634,794,072,296,154,400,798,705,305,451,846,876,087,558,040,897,
512,427,692,085,550,814,271,657,946,379,091,900,975,351,161,046,486,584,461,
345,982,133,216,076,702,837,748,507,417,563,480,828,321,821,593,545,498,507,
673,541,231,243,585,128,803,536,638,717,998,714,407,765,222,407,643,663,859,
698,969,807,920,771,768,355,564,905,880,147,648,483,721,451,564,332,790,503,
484,983,778,387,139,634,710,162,301,577,112,831,892,263,116,458,915,999,618,
772,588,573,353,502,899,301,837,587,264,523,435,127,800,696,141,997,775,449,
938,017,948,116,196,042,321,060,299,302,908,849,160,273,351,378,248,893,665,
054,089,633,555,051,482,230,622,704,045,740,397,372,018,934,785,206,884,453,
245,451,598,949,357,578,491,050,409,735,608,886,870,586,577,108,761,655,196,
349,642,511,055,791,938,206,487,653,829,895,487,513,291,579,003,985,827,766,
052,681,323,113,951,806,895,988,723,744,893,400,305,757,603,358,048,757,701,
705,635,066,593,680,461,476,572,306,970,844,638,180,458,261,699,406,519,048,
950,160,175,718,092,538,132,998,653,451,438,613,277,220,524,045,955,153,786,
868,364,884,105,745,618,322,628,639,316,756,573,003,257,507,961,495,482,401,
362,749,080,694,428,084,113,319,368,428,069,137,752,118,585,879,650,224,592,
925,405,568,915,183,531,706,660,146,018,674,744,462,907,469,595,000,239,579,
432,590,880,148,333,022,671,790,945,770,421,313,538,853,262,008,293,236,529,
830,365,777,692,764,052,717,544,928,194,260,786,479,172,131,302,706,544,999,
062,193,052,793,245,701,762,898,761,228,551,635,050,864,121,751,317,880,992,
243,268,354,235,591,502,338,972,832,394,918,994,636,880,592,954,452,219,847,
235,666,143,286,833,110,895,167,242,646,284,543,724,847,008,520,628,137,254,
421,625,878,909,788,039,404,913,779,948,970,678,540,971,556,625,904,229,034,
680,558,202,654,764,841,084,032,355,239,386,327,975,819,926,753,260,212,820,
142,768,336,796,232,534,172,941,932,181,037,695,493,858,187,379,104,016,912,
166,965,494,793,177,863,544,401,207,810,400,914,626,446,150,462,166,035,686,
911,845,548,517,961,200,477,825,728,318,776,471,115,530,608,807,092,659,924,
552,085,479,742,281,206,858,261,338,816,185,742,600,218,382,397,329,474,529,
452,613,849,458,575,514,528,904,646,522,220,681,491,038,191,510,763,340,410,
744,323,971,640,588,478,788,474,449,132,636,313,326,759,965,299,055,309,435,
036,660,748,402,119,745,429,451,112,315,392,342,451,288,285,494,827,029,620,
502,461,754,051,246,365,746,636,635,928,526,591,703,592,794,749,612,173,867,
071,139,597,436,739,757,570,747,048,278,421,781,404,583,354,791,393,982,476,
008,845,601,185,329,587,327,033,399,789,753,230,672,515,329,449,545,537,349,
134,265,006,096,130,446,632,628,954,601,589,707,973,386,831,383,699,532,657,
710,586,660,007,209,604,472,327,015,237,300,524,310,634,080,557,682,131,526,
954,773,084,468,814,752,714,623,185,794,053,047,671,977,794,188,220,159,272,
454,788,820,028,672,874,593,178,796,901,575,370,652,799,032,181,075,562,311,
869,451,090,892,369,430,067,141,419,278,137,403,970,501,143,425,338,055,362,
845,615,179,152,594,168,844,178,427,034,884,135,827,895,541,501,746,528,438,
508,672,017,178,521,791,314,032,005,161,087,286,959,069,134,125,806,309,063,
109,463,040,485,388,167,250,201,578,038,351,183,178,637,639,635,682,059,611,
163,485,018,235,814,162,957,673,430,868,367,760,236,070,679,696,843,552,778,
494,666,020,986,866,374,218,751,307,354,017,234,445,864,644,537,112,276,323,
246,921,385,348,003,675,256,557,824,469,511,881,499,533,227,946,318,128,842,
517,473,685,726,610,328,401,098,762,852,111,955,838,264,229,117,294,510,914,
238,887,549,096,610,058,434,304,762,462,534,445,089,035,318,048,295,050,742,
017,463,198,205,734,171,591,791,902,237,529,318,608,799,286,855,513,904,970,
592,969,055,126,786,057,335,162,121,054,676,940,427,161,817,747,493,399,575,
028,634,849,801,731,202,971,278,597,765,246,653,813,207,058,264,123,261,554,
078,508,856,646,447,205,059,072,783,639,831,653,175,643,765,176,785,170,984,
566,867,258,817,520,702,907,187,602,763,595,529,126,556,251,805,259,871,166,
072,569,209,945,446,421,759,866,858,153,681,633,188,335,009,561,906,760,504,
918,523,388,297,234,120,843,282,814,423,412,306,797,272,086,613,720,241,075,
258,060,888,307,096,977,886,387,966,288,829,931,198,330,261,202,775,237,816,
131,456,580,304,433,487,164,710,324,977,134,704,806,991,664,921,647,579,080,
266,602,559,497,863,045,267,775,567,343,645,986,411,010,810,828,118,048,494,
992,293,664,514,991,643,187,873,376,630,053,213,548,433,699,325,669,970,008,
565,253,477,670,510,186,617,352,208,395,521,884,525,929,181,373,264,642,670,
716,988,725,191,460,959,015,819,534,930,641,703,943,966,233,421,502,768,208,
991,850,217,135,846,273,855,137,823,131,180,837,598,855,810,014,612,566,429,
148,254,303,020,906,788,527,115,971,128,374,874,977,701,489,810,743,944,282,
915,124,901,185,797,280,294,300,775,783,214,931,850,867,772,852,310,463,398,
174,366,139,461,024,366,778,394,104,402,835,734,277,030,915,552,885,744,798,
064,045,216,452,246,665,606,553,161,929,709,817,623,309,659,876,480,271,393,
742,528,324,210,510,022,716,457,597,786,858,559,684,826,548,774,004,997,081,
630,874,548,994,300,090,871,399,611,053,475,267,152,081,150,025,351,617,923,
759,930,437,351,695,967,838,343,450,913,509,461,662,675,745,629,134,201,004,
205,747,243,475,428,368,189,665,824,156,841,148,733,984,235,168,396,203,813,
420,598,671,474,919,710,247,762,779,145,125,870,851,703,125,246,015,026,624,
939,867,885,317,536,559,109,214,114,652,950,163,892,935,699,893,968,928,140,
763,992,272,656,752,402,566,449,014,307,699,477,591,706,365,012,376,965,516,
906,949,107,571,805,154,343,773,917,072,684,187,109,549,937,928,788,102,711,
464,977,041,629,305,363,963,541,420,541,215,937,807,266,730,712,198,795,282,
624,779,988,563,348,072,531,513,863,841,471,123,235,450,900,520,030,026,080,
536,051,230,562,603,435,210,916,271,091,332,874,906,469,562,150,122,379,544,
335,711,207,261,977,149,043,200,909,929,255,013,653,932,543,289,755,982,777,
242,954,225,877,765,929,635,708,184,339,779,733,901,722,124,826,752,271,765,
780,987,697,388,042,185,785,107,835,415,079,385,911,435,914,993,697,539,634,
051,377,293,745,395,935,204,187,209,743,548,263,015,964,569,343,040,593,474,
853,732,536,442,741,445,959,842,297,969,510,930,388,026,715,617,602,834,227,
907,130,788,682,687,263,077,796,503,860,728,483,218,527,642,063,550,357,997,
590,897,170,336,277,342,632,629,458,647,183,765,756,937,753,832,459,819,767,
575,161,160,759,761,361,948,664,422,663,857,722,339,101,720,772,364,828,646,
304,685,316,872,300,042,630,183,969,994,804,891,600,873,786,014,107,717,231,
816,657,097,827,672,140,917,166,965,925,608,184,879,941,769,092,435,223,890,
416,426,522,370,252,642,766,014,794,861,155,615,746,473,577,983,247,494,306,
004,221,225,443,300,669,038,039,385,713,744,257,786,909,133,307,631,522,285,
511,997,025,623,265,933,845,775,494,164,349,834,283,625,158,129,322,034,900,
326,125,359,767,876,878,000,985,733,379,033,673,499,451,290,148,035,172,077,
847,567,776,243,578,418,432,402,976,614,883,341,190,345,376,781,534,435,862,
276,686,484,479,942,954,000,359,679,104,241,386,557,368,504,787,029,861,414,
961,318,038,130,834,874,765,137,751,464,176,042,974,941,428,645,702,229,264,
225,959,184,527,733,564,807,384,683,637,650,551,277,508,545,735,583,121,083,
792,411,904,798,492,526,534,996,349,400,829,483,047,793,472,454,866,779,380,
203,781,311,199,637,599,698,149,348,275,315,350,736,100,223,261,499,185,349,
339,022,604,524,978,567,669,123,556,764,159,756,528,780,981,413,474,460,915,
088,348,762,674,665,992,360,182,369,004,164,469,934,369,503,558,131,741,819,
781,535,810,506,121,859,755,890,293,335,456,945,276,002,033,420,533,368,737,
389,720,616,436,831,613,220,335,609,079,631,602,610,060,271,556,725,338,521,
900,842,179,343,714,131,544,621,550,241,440,543,760,427,404,102,027,115,523,
631,699,060,941,215,209,395,412,770,110,631,410,056,979,359,775,168,530,353,
178,256,589,067,158,955,585,731,542,214,722,754,783,815,911,027,365,440,110,
900,114,982,236,594,273,763,405,953,962,368,366,276,087,834,975,324,452,371,
865,174,589,444,224,403,736,752,065,812,241,515,736,843,878,463,882,874,637,
886,514,788,931,775,683,704,448,095,854,461,319,644,703,884,122,518,289,663,
597,077,885,478,135,067,333,322,762,175,500,188,618,546,043,631,433,269,259,
128,802,281,326,521,859,444,888,889,665,289,361,169,771,490,837,556,681,033,
535,042,555,938,370,559,752,652,007,702,305,099,076,278,102,070,487,866,514,
940,834,428,524,207,895,799,717,141,462,738,296,714,201,231,699,817,702,140,
724,031,558,302,373,570,013,789,841,848,196,454,410,981,053,332,177,367,976,
976,304,149,072,968,607,013,967,410,880,844,295,875,263,554,399,072,884,558,
047,664,157,738,023,288,926,035,410,512,835,666,379,360,423,497,666,061,160,
752,735,557,803,865,961,792,615,107,071,699,587,886,342,718,502,628,431,494,
587,072,678,084,595,260,460,904,532,169,954,914,389,002,057,980,764,380,903,
564,698,995,272,759,484,614,507,188,314,796,281,307,140,391,170,673,081,396,
867,887,093,412,111,580,142,699,134,062,304,092,986,739,268,549,143,115,481,
817,004,028,706,348,556,549,281,124,669,318,634,929,752,907,595,706,535,053,
410,692,805,948,929,477,256,736,762,383,798,782,819,776,754,505,929,058,464,
726,803,412,021,697,979,256,335,356,986,345,339,256,262,010,342,442,238,527,
532,090,475,528,066,934,030,180,977,517,745,483,959,765,614,946,139,654,090,
355,955,091,367,785,933,549,957,249,051,887,170,193,934,765,979,206,768,931,
701,904,939,760,002,525,168,661,119,902,051,967,712,075,445,346,194,300,563,
814,109,271,046,487,472,873,760,256,608,276,302,319,470,721,780,758,951,527,
010,540,099,904,436,163,092,894,620,618,176,503,242,716,263,943,786,727,737,
700,608,649,797,240,578,263,944,037,533,710,827,143,949,944,075,448,089,788,
658,336,013,522,455,088,525,906,763,676,798,616,885,757,136,292,432,856,116,
472,634,851,429,464,992,834,427,698,506,711,229,437,439,689,844,395,142,475,
841,759,812,784,991,681,202,679,306,522,938,652,369,306,160,495,375,412,254,
452,256,518,219,420,903,554,556,965,937,818,759,586,754,935,159,350,189,766,
166,555,648,249,113,117,126,130,644,493,014,633,475,158,762,096,340,677,188,
531,605,603,554,540,853,288,573,102,089,288,869,560,538,887,212,296,339,036,
492,977,073,631,694,008,357,853,711,433,566,528,356,744,304,392,675,735,078,
030,406,725,099,390,026,011,822,010,554,085,582,435,880,613,229,508,361,347,
582,888,822,954,855,064,859,534,621,328,468,609,053,168,091,571,361,969,916,
733,510,957,711,458,530,052,211,286,607,207,138,659,332,093,762,343,480,400,
608,106,939,843,065,091,283,709,174,704,085,671,749,204,979,956,524,499,799,
879,097,188,262,055,039,920,424,297,978,416,824,582,547,291,871,012,178,343,
598,606,704,975,704,639,188,032,518,705,639,864,907,876,937,203,936,671,444,
248,350,699,866,512,438,636,212,840,520,130,240,008,490,038,352,001,027,962,
248,990,883,930,225,823,758,015,729,326,249,360,906,064,140,269,043,919,285,
670,721,520,032,439,434,411,056,045,241,773,936,496,139,120,349,113,895,723,
792,876,901,198,397,607,160,520,861,112,153,155,210,285,081,921,024,607,792,
964,280,846,477,447,463,521,682,683,678,280,004,651,402,249,955,435,445,861,
647,179,012,539,197,636,027,927,172,780,010,945,229,669,909,162,739,003,401,
434,087,816,880,375,671,335,105,077,369,025,690,347,458,259,251,496,303,736,
329,276,232,925,763,916,072,027,611,734,431,110,405,522,598,986,049,814,878,
745,688,766,528,484,288,330,093,081,009,729,899,766,429,218,094,445,124,825,
222,749,961,781,290,857,362,445,163,265,527,416,777,702,478,791,802,421,522,
485,982,582,131,217,962,739,651,244,821,025,647,869,677,666,863,116,487,225,
403,142,535,591,559,533,028,437,214,887,367,864,922,737,334,266,319,458,486,
085,726,157,719,813,349,317,871,497,399,860,292,085,358,805,066,785,547,435,
045,915,642,357,792,781,546,864,882,032,950,373,854,746,582,469,808,573,143,
817,820,924,970,328,704,946,907,553,670,156,016,580,266,674,527,923,616,796,
226,166,434,020,310,667,725,495,366,254,931,657,027,708,633,051,965,432,884,
585,597,991,152,844,376,339,372,026,187,919,167,881,864,569,769,294,954,260,
691,395,022,300,597,756,974,671,879,280,360,428,005,391,062,117,942,353,160,
294,990,415,870,432,367,104,206,724,195,054,704,797,142,354,958,316,458,403,
564,200,133,490,209,540,077,689,456,924,537,585,281,330,993,805,713,602,221,
565,369,824,729,383,961,210,804,886,376,581,646,074,121,039,720,857,985,741,
383,187,918,045,738,364,852,095,906,624,138,016,966,989,438,054,234,751,548,
332,578,271,232,149,740,398,828,770,925,491,978,180,536,451,350,372,920,589,
057,954,907,591,396,114,322,342,494,725,631,195,305,811,521,086,511,074,166,
234,890,431,250,840,251,447,668,288,121,713,081,366,787,296,412,960,205,248,
255,823,337,775,878,190,946,973,833,360,891,082,031,375,603,747,101,466,231,
151,896,325,743,128,441,915,946,474,142,598,230,289,032,412,283,594,903,577,
841,212,795,657,600,765,883,711,483,085,961,269,249,374,470,353,376,470,235,
023,168,107,612,300,708,312,369,677,180,572,404,244,491,560,978,019,473,345,
173,121,313,583,977,126,708,462,229,206,062,523,597,879,007,749,245,509,637,
969,105,818,692,078,502,624,233,576,247,255,440,139,681,320,521,923,264,742,
262,926,436,697,804,548,583,252,194,581,481,074,407,957,572,065,217,069,377,
909,857,613,175,630,020,973,974,982,996,852,413,495,785,773,845,735,614,411,
962,151,790,784,720,287,926,217,377,620,182,437,626,930,321,939,050,513,651,
755,611,976,837,281,630,399,981,255,585,068,418,357,923,170,897,670,803,626,
867,844,902,104,344,854,557,685,937,079,692,062,842,362,837,522,887,696,356,
895,361,461,939,059,110,283,021,315,584,630,770,135,002,130,576,902,838,876,
944,560,236,924,234,641,428,606,419,234,052,693,423,921,721,644,545,158,391,
068,432,517,625,566,342,997,330,104,740,059,338,893,947,306,357,672,360,223,
607,945,984,889,349,750,882,985,597,264,814,348,514,391,672,810,148,706,206,
750,605,309,981,584,190,414,655,382,412,357,993,695,048,801,364,259,537,579,
481,459,502,715,154,991,481,268,142,770,175,989,145,587,174,553,450,975,259,
596,813,070,207,827,060,084,603,880,321,009,306,183,860,176,219,692,394,846,
142,568,020,542,682,789,822,545,642,729,481,889,280,503,766,251,270,125,332,
290,081,622,936,473,537,888,667,050,620,532,758,108,501,222,048,910,687,632,
114,932,875,625,678,639,310,574,828,030,933,684,680,824,010,084,828,918,863,
534,357,916,740,280,278,382,872,042,972,056,999,524,011,674,985,029,009,747,
192,356,072,180,074,446,886,102,586,599,831,114,973,144,461,638,035,348,109,
017,608,583,066,549,601,584,353,063,261,173,231,638,150,680,591,663,126,480,
189,419,630,408,313,833,788,048,442,853,521,646,440,553,175,019,923,326,295,
567,838,706,233,146,513,503,183,097,529,111,170,194,543,988,860,408,657,012,
719,606,762,308,143,868,242,717,702,488,360,322,208,278,423,728,827,988,868,
387,465,769,543,045,476,778,816,643,070,460,876,461,601,252,228,989,707,735,
666,857,092,373,600,770,986,979,265,323,158,087,962,192,775,926,164,158,574,
205,830,603,141,007,622,562,177,168,365,252,616,185,609,944,793,057,491,784,
673,432,844,937,788,462,520,246,472,475,887,695,632,788,465,337,881,797,873,
148,357,735,616,387,319,221,597,976,949,121,087,594,781,533,852,945,511,246,
101,138,381,050,621,985,233,485,336,371,710,293,953,170,843,511,191,857,675,
287,677,128,330,698,518,256,176,684,697,665,376,728,220,081,886,756,653,079,
278,812,414,090,647,105,921,616,194,134,950,310,634,339,905,369,863,758,144,
827,208,213,459,039,147,153,791,943,043,990,761,444,935,203,071,121,849,500,
918,279,366,066,477,353,232,683,839,778,771,836,514,714,214,001,386,333,841,
731,394,231,240,952,390,026,768,570,360,725,618,142,898,768,030,621,165,463,
652,470,707,612,604,728,164,796,328,864,204,585,799,631,896,533,279,948,599,
701,277,305,315,759,669,829,750,020,022,333,449,692,847,247,146,913,638,362,
300,188,981,058,972,410,593,886,943,945,627,409,674,150,899,619,013,679,920,
069,792,861,063,347,355,482,316,689,814,464,711,277,462,344,619,409,740,439,
096,283,652,544,730,440,965,919,263,104,867,335,714,155,528,832,885,563,704,
959,383,687,727,861,570,502,745,035,342,506,984,780,828,563,178,915,326,777,
141,260,807,641,521,886,903,527,015,905,897,953,842,508,034,144,632,339,502,
526,465,231,886,517,621,266,930,064,785,342,651,818,720,718,166,057,890,759,
580,474,762,825,303,461,400,481,993,478,935,262,956,548,534,133,081,088,373,
544,338,501,988,925,972,877,114,591,768,275,111,344,656,273,506,929,873,584,
642,317,687,834,578,162,882,299,042,670,012,670,226,611,786,327,076,979,790,
073,330,272,108,017,488,189,288,826,324,523,038,030,336,927,579,453,907,625,
057,604,222,852,112,580,034,598,324,252,811,862,610,452,368,861,435,107,384,
637,086,157,149,399,675,433,374,382,681,313,524,881,430,363,184,567,999,973,
725,015,260,453,093,031,241,225,217,662,449,675,951,563,974,917,979,700,517,
966,617,603,289,452,581,935,812,371,552,463,414,930,498,061,529,725,001,282,
794,667,640,137,523,329,031,082,314,701,264,765,529,541,110,021,051,606,438,
639,053,187,521,695,424,031,746,656,475,885,744,718,472,138,846,002,394,820,
030,902,605,113,887,499,072,426,693,867,179,263,446,318,165,366,791,792,746,
942,734,223,666,458,157,468,809,003,908,500,594,819,629,709,463,006,532,885,
133,584,134,130,226,767,337,971,992,690,510,889,144,571,811,133,325,549,368,
265,403,286,637,139,023,978,388,904,819,378,341,791,692,822,867,872,531,906,
962,448,143,631,143,932,080,434,326,654,041,318,706,885,236,381,108,194,821,
587,566,569,875,880,127,408,183,321,834,190,765,429,849,475,926,913,107,199,
799,344,334,502,434,812,914,230,593,361,673,552,011,398,490,425,320,671,287,
405,518,567,874,488,529,523,403,712,444,361,907,031,567,430,016,859,262,462,
386,628,151,237,533,547,463,218,503,159,817,536,400,721,804,311,750,915,284,
311,112,742,530,925,142,276,157,611,856,726,929,053,359,444,323,144,248,744,
106,320,188,046,373,377,222,969,228,579,985,751,239,686,422,202,561,622,782,
681,412,021,661,970,235,271,788,331,695,102,999,143,997,138,745,120,630,499,
104,255,584,404,692,385,099,356,458,793,334,672,000,860,683,643,900,016,617,
647,098,011,184,726,890,221,548,767,869,481,708,179,672,354,441,256,381,975,
844,674,901,238,124,643,910,977,179,737,267,150,424,502,296,542,928,072,013,
043,682,931,088,854,127,461,755,062,817,615,302,158,647,229,211,352,727,720,
361,245,443,800,865,362,422,782,037,284,825,227,732,464,721,741,179,242,797,
012,620,340,945,824,628,460,710,137,027,822,254,638,225,695,010,697,562,757,
560,170,437,624,271,105,007,794,103,522,927,325,542,966,251,370,795,797,416,
090,498,799,127,847,363,226,836,269,211,419,700,029,042,082,415,696,663,660,
686,768,640,825,152,207,422,107,344,642,794,991,235,452,746,822,106,262,558,
898,783,835,010,872,002,739,070,902,334,987,979,602,107,242,937,892,525,127,
141,060,780,722,692,050,164,260,912,530,828,217,509,466,595,792,046,203,494,
477,170,977,424,732,830,595,560,445,414,023,281,790,222,103,175,765,352,582,
327,739,729,779,413,454,390,526,619,423,719,138,600,959,189,003,447,192,995,
316,505,967,805,881,327,565,301,426,107,004,543,549,256,963,356,427,529,773,
671,479,830,025,556,496,821,926,695,662,255,384,118,987,859,936,486,662,739,
055,505,266,712,464,429,562,477,442,591,050,085,703,260,758,361,190,563,162,
644,067,906,334,370,217,791,532,050,167,885,498,310,051,469,406,468,666,463,
445,026,639,822,807,669,820,616,193,958,746,483,593,550,631,526,280,910,687,
801,304,387,556,997,625,304,370,272,009,688,119,211,413,206,537,863,543,926,
565,042,971,696,633,564,715,560,563,756,186,090,362,049,606,266,339,983,189,
872,210,181,547,245,677,600,725,124,988,732,905,821,306,684,993,240,146,550,
261,293,238,002,700,367,565,913,874,141,719,334,099,557,038,638,344,256,019,
809,417,264,251,274,136,223,341,197,050,969,543,955,276,078,980,207,370,319,
412,250,983,701,145,740,314,531,241,434,872,238,907,537,279,243,918,640,737,
553,323,198,237,578,619,602,900,162,070,772,918,386,476,188,525,559,787,763,
510,104,341,569,351,812,690,333,836,685,994,860,960,331,008,829,329,427,500,
716,364,513,043,295,863,281,407,825,661,621,374,032,653,708,829,477,714,817,
970,858,800,042,600,819,669,356,381,565,242,838,676,972,189,393,790,460,990,
846,004,231,960,873,352,696,672,190,820,644,401,401,539,194,150,945,700,882,
370,004,527,240,171,549,173,827,494,110,339,033,314,577,198,652,347,538,564,
625,432,667,212,536,207,696,676,874,644,344,189,623,099,159,612,323,237,995,
666,064,367,539,620,321,290,289,997,305,115,455,807,048,959,278,779,274,669,
881,365,136,216,109,555,338,005,499,780,056,938,150,804,209,057,077,027,960,
126,003,480,782,201,433,876,577,845,236,821,534,819,341,683,938,935,233,919,
543,929,240,712,700,376,199,980,068,861,297,617,983,832,533,751,084,698,045,
546,188,119,162,862,460,406,868,460,002,487,117,818,262,122,511,077,084,394,
990,599,815,739,127,116,099,283,568,533,747,740,345,855,058,958,538,017,158,
305,042,502,792,797,323,593,229,308,683,545,560,481,104,882,351,875,688,977,
622,612,685,301,936,871,199,283,647,768,944,012,138,909,306,834,108,705,934,
684,672,390,984,436,811,597,935,265,597,224,215,178,056,269,610,623,912,012,
217,448,162,693,090,235,240,212,563,455,424,632,100,642,862,650,467,743,303,
717,151,419,792,516,613,993,012,284,557,922,504,245,950,900,963,430,561,676,
817,413,885,498,194,717,692,514,143,465,714,863,848,180,086,499,194,132,070,
540,230,157,311,343,622,955,797,531,455,780,324,394,084,272,630,480,027,183,
190,104,365,278,380,824,633,832,172,560,484,815,973,006,455,459,951,858,912,
855,925,600,123,429,832,989,612,055,594,730,475,789,982,838,583,058,700,934,
723,032,256,489,630,909,262,361,833,824,762,171,613,941,347,666,957,104,511,
694,360,394,897,753,304,466,448,013,734,365,973,580,237,496,038,794,792,517,
633,633,338,120,082,922,960,847,254,437,526,686,883,689,274,020,941,951,480,
240,328,278,516,223,977,638,883,192,310,427,143,573,119,349,352,848,168,156,
891,378,954,523,605,515,893,920,894,647,256,956,072,343,096,634,823,845,950,
508,730,449,600,682,010,461,402,135,468,707,621,435,874,572,733,220,134,884,
744,160,987,080,037,176,959,652,888,014,931,214,906,810,634,827,929,143,830,
661,632,665,473,362,712,254,265,483,114,394,519,933,339,129,874,384,553,898,
657,870,920,592,469,798,918,852,052,311,324,447,243,610,430,844,258,268,121,
499,666,193,790,396,047,651,767,838,466,240,648,039,539,532,889,478,698,525,
015,021,858,917,991,407,276,356,654,615,339,551,230,241,121,605,413,737,270,
705,402,986,870,487,342,153,445,748,016,158,993,641,889,507,536,866,800,490,
027,538,759,617,846,638,911,295,476,276,118,778,342,343,108,408,045,938,002,
527,218,409,063,069,868,873,578,580,562,721,707,014,155,827,703,144,887,825,
519,580,662,625,634,381,264,836,874,286,002,667,169,201,839,314,048,827,645,
589,875,011,272,167,458,932,537,389,255,146,154,994,932,117,572,976,112,700,
775,322,805,761,603,816,176,812,809,022,897,621,678,237,853,387,747,338,245,
088,516,477,421,494,641,459,061,284,375,415,336,492,825,914,639,275,360,266,
662,392,307,009,528,445,796,844,266,893,373,229,368,638,233,383,680,024,445,
362,794,008,988,320,051,787,117,293,676,139,819,894,368,077,995,520,617,706,
919,026,484,160,365,941,837,745,781,965,879,378,829,908,734,243,700,193,413,
717,424,693,906,547,771,156,175,936,747,302,845,255,227,896,145,760,885,031,
110,071,993,021,732,648,341,025,659,018,679,890,429,258,954,941,995,095,049,
257,574,588,864,754,211,300,619,281,091,370,127,418,219,227,369,986,608,985,
536,171,195,844,595,012,298,421,392,343,975,114,618,838,788,293,239,470,234,
688,729,154,397,895,418,535,606,120,048,213,146,378,419,822,556,815,755,034,
241,051,018,608,139,399,806,931,933,869,160,360,735,158,307,966,798,240,849,
358,563,434,423,188,636,077,095,019,645,869,307,047,487,863,679,014,147,843,
058,534,220,305,920,566,078,069,188,832,548,227,836,811,919,812,238,481,050,
530,057,281,940,338,025,870,261,704,732,975,588,502,352,796,657,162,732,747,
848,190,890,001,079,417,691,207,867,930,138,613,697,928,632,208,688,386,017,
715,652,282,126,175,811,229,101,160,439,163,878,769,985,711,037,278,841,363,
484,806,925,711,346,517,031,932,513,417,564,633,575,857,440,577,887,841,135,
583,480,936,382,834,142,515,198,456,176,338,650,742,289,794,156,743,173,327,
868,533,987,030,203,203,733,844,524,927,948,373,001,879,221,073,928,479,432,
276,668,241,481,505,122,109,747,257,327,599,973,033,425,936,396,097,541,343,
357,981,104,891,899,552,898,388,509,419,223,819,138,378,728,312,155,971,569,
481,331,922,845,513,294,664,059,381,027,969,123,930,355,489,079,439,633,331,
900,466,584,087,440,387,806,495,819,256,045,767,745,336,527,722,833,818,698,
036,883,586,663,816,062,461,357,166,765,677,418,205,837,181,582,225,329,002,
248,156,952,305,741,146,379,936,155,646,063,012,052,408,351,272,001,115,618,
290,915,530,128,902,293,297,404,412,982,979,982,048,246,002,927,562,305,480,
159,353,069,923,170,729,090,178,888,962,229,510,408,367,292,835,842,927,966,
628,652,891,654,751,551,570,412,640,162,698,677,109,359,849,370,003,370,416,
724,804,922,413,598,655,284,339,759,581,701,612,430,643,350,955,220,859,922,
023,760,926,981,131,372,224,833,611,864,219,295,568,574,248,910,072,809,934,
217,043,429,191,188,526,414,544,925,558,435,232,525,816,983,092,538,526,533,
320,875,526,684,971,336,431,127,611,924,474,621,503,450,130,495,315,564,558,
500,406,504,400,849,420,812,097,598,528,774,193,820,565,904,302,805,427,155,
017,410,317,756,426,924,436,925,882,907,334,390,556,050,115,946,326,830,245,
575,777,614,076,085,675,191,831,032,300,576,142,123,372,856,347,355,274,030,
862,207,063,087,081,849,160,792,639,141,801,572,169,614,477,430,665,742,544,
784,310,996,810,462,504,988,512,998,629,131,254,176,048,744,550,893,229,896,
932,555,154,056,225,471,302,187,969,586,103,436,486,667,964,347,855,268,147,
085,972,992,477,184,525,111,018,558,676,429,619,743,743,945,875,336,441,706,
949,798,592,738,512,214,901,879,117,987,126,599,990,752,112,890,627,396,765,
448,901,502,456,212,248,367,655,086,936,123,194,131,879,194,953,977,101,648,
204,697,153,935,042,077,397,114,535,721,221,619,606,527,771,867,713,315,333,
801,367,888,796,223,356,006,527,618,826,922,647,226,433,400,937,706,151,681,
505,873,270,826,811,172,652,944,424,577,349,736,872,542,084,783,476,089,443,
291,746,998,796,201,392,312,185,253,212,993,083,403,166,445,068,726,326,637,
564,166,691,515,666,718,243,205,247,318,162,520,520,837,428,991,679,525,373,
781,437,327,512,795,440,890,460,512,612,588,201,403,155,672,844,933,137,383,
445,477,286,514,543,064,963,264,733,192,618,112,443,052,534,128,858,288,316,
926,483,683,612,784,066,567,401,178,888,620,057,964,133,095,778,072,209,765,
903,321,739,463,825,314,920,400,612,848,961,721,047,111,627,347,571,892,825,
506,135,296,804,106,269,631,811,164,405,384,558,180,045,144,397,666,407,972,
756,182,427,820,795,898,245,230,202,702,863,286,485,392,176,222,361,772,173,
326,976,670,614,265,686,119,552,286,952,735,375,458,041,073,614,415,023,931,
960,602,333,306,027,588,338,117,790,822,759,454,602,905,958,765,905,331,965,
231,698,105,502,465,436,210,008,144,659,243,593,759,199,725,020,994,007,258,
952,003,403,011,880,874,661,458,431,559,885,581,128,123,787,463,617,907,100,
122,441,861,414,675,674,712,421,822,631,178,046,178,696,043,623,509,315,430,
862,026,694,825,623,035,782,449,427,187,307,789,878,100,237,658,511,085,566,
488,220,521,682,014,397,026,842,769,157,709,219,083,827,328,929,183,098,737,
767,811,596,087,335,995,030,995,544,419,098,454,482,093,941,414,174,188,053,
524,657,222,449,266,401,753,290,394,296,376,529,653,637,770,686,106,225,237,
702,237,764,396,070,056,517,279,231,319,566,911,733,387,759,370,944,831,819,
873,536,402,154,005,042,958,433,370,064,596,301,929,644,749,735,986,242,220,
262,356,053,919,701,571,505,483,945,818,399,275,571,764,862,160,230,063,020,
787,110,465,364,296,123,972,093,485,415,774,047,593,741,828,646,306,897,547,
283,490,757,483,747,878,197,408,990,314,674,650,012,370,967,954,025,136,977,
236,820,035,107,104,179,575,290,669,677,559,866,540,531,439,777,577,934,262,
568,361,624,007,270,105,775,344,856,904,702,491,382,588,491,151,252,770,721,
100,959,367,683,031,953,812,870,769,965,016,225,341,506,490,036,295,942,161,
309,309,684,251,760,292,205,783,012,387,347,678,782,335,436,534,933,534,664,
938,990,145,575,409,492,111,784,395,903,861,513,708,697,931,717,374,090,717,
995,425,690,887,900,353,033,309,774,136,203,760,183,479,058,362,413,252,119,
337,310,237,192,804,004,119,142,210,703,610,405,312,642,750,316,591,364,385,
122,207,264,464,257,263,042,311,624,639,478,086,213,854,942,162,327,806,413,
845,655,663,139,769,110,399,017,304,256,745,616,050,125,601,837,817,518,762,
999,877,655,027,982,819,789,682,195,721,996,922,723,338,507,222,158,501,676,
454,771,586,333,623,245,140,710,350,111,729,831,489,549,672,498,105,644,647,
101,589,511,483,983,684,269,057,005,347,890,994,084,610,698,387,327,775,113,
827,040,327,043,364,168,411,219,015,752,083,448,199,501,665,075,749,812,518,
028,168,941,708,382,212,942,075,757,200,810,565,813,641,765,795,931,585,460,
995,370,385,626,278,241,617,312,137,469,405,834,419,148,950,409,377,750,721,
657,070,392,826,780,944,073,168,439,643,921,684,334,706,177,847,914,327,176,
978,302,695,621,263,350,544,054,021,206,650,441,397,161,013,512,646,606,161,
676,067,455,462,044,020,762,248,886,316,726,194,793,544,580,497,412,207,425,
728,525,910,422,069,617,621,793,080,176,101,300,994,390,796,789,052,241,109,
749,116,002,658,301,265,843,012,093,616,436,835,475,435,490,407,139,032,102,
052,397,589,103,219,033,708,122,890,837,043,132,716,611,176,690,575,020,673,
827,567,818,785,325,030,220,424,857,724,884,279,663,409,986,440,673,227,021,
438,676,960,051,906,730,235,067,179,837,260,537,485,571,734,968,426,995,080,
045,031,487,347,851,649,161,941,258,544,990,379,264,403,639,264,931,670,901,
870,675,496,170,299,901,434,664,133,713,061,837,346,387,485,907,177,385,268,
984,767,331,912,745,511,878,795,603,323,156,159,495,112,291,428,214,760,111,
680,436,769,204,035,761,975,550,334,218,022,912,607,073,655,615,504,773,388,
983,622,533,161,192,699,256,543,913,516,885,813,355,388,322,312,808,083,094,
884,985,921,184,010,029,735,861,831,221,974,407,106,061,217,219,451,737,628,
217,307,519,172,838,533,641,356,891,852,916,125,728,509,112,236,793,821,017,
718,053,818,399,549,052,973,387,470,815,616,906,805,757,296,635,031,307,106,
032,954,037,120,792,153,730,619,322,074,435,794,638,884,265,464,821,288,744,
668,280,672,713,164,177,183,788,804,595,091,755,396,445,399,083,683,878,715,
630,055,166,970,495,318,529,963,675,881,861,663,121,394,979,824,792,560,428,
569,070,420,745,356,552,948,974,812,040,452,000,372,291,919,322,308,137,453,
597,501,473,887,275,849,699,413,866,415,921,468,518,143,083,140,950,834,908,
542,384,122,951,005,152,302,790,703,686,631,122,431,020,884,743,578,127,207,
882,282,258,618,624,813,084,116,542,870,802,901,055,363,046,752,910,708,909,
196,527,946,484,413,826,591,417,346,872,297,969,962,099,772,010,838,038,196,
065,612,969,010,271,224,029,142,086,240,911,550,960,301,353,595,211,575,532,
742,961,241,234,499,345,781,207,032,378,046,142,235,914,101,590,699,762,604,
463,211,716,160,022,313,330,610,017,275,075,369,746,918,412,709,663,171,615,
476,888,428,561,333,558,323,846,640,122,794,218,448,277,983,704,552,934,585,
470,147,689,692,054,994,966,100,240,500,521,827,777,228,438,111,388,038,530,
176,115,437,940,574,681,771,217,591,431,994,383,949,396,302,957,261,811,109,
422,360,797,243,910,712,614,844,277,306,687,010,341,087,896,576,502,609,129,
525,205,026,822,113,873,460,148,095,126,705,120,194,224,962,019,970,526,756,
588,962,275,105,592,214,058,225,147,934,676,283,434,309,631,180,434,819,701,
686,492,621,522,285,959,056,951,722,920,842,453,147,449,385,960,729,423,171,
726,095,500,268,339,178,449,069,545,656,120,874,775,729,753,625,512,276,868,
400,240,965,008,634,076,400,844,347,300,936,343,348,368,792,856,546,967,218,
040,607,940,002,500,572,641,304,706,173,083,184,011,984,484,366,375,676,071,
820,565,094,826,300,457,405,757,855,904,922,969,617,715,122,596,137,122,229,
197,773,930,364,111,066,814,780,806,087,255,321,755,481,119,858,222,088,965,
625,421,689,849,895,821,941,202,024,713,535,140,091,517,779,779,099,720,943,
659,519,042,452,036,102,604,168,833,675,302,619,300,066,622,368,897,252,836,
547,113,748,758,579,017,762,954,296,985,978,875,261,373,648,158,581,462,871,
085,583,985,941,972,048,679,992,489,168,091,463,902,039,507,920,549,927,447,
408,081,121,729,982,927,688,305,395,235,465,597,278,107,954,347,857,911,272,
035,799,848,587,973,304,651,594,640,706,331,800,301,646,145,365,210,306,521,
188,999,034,433,910,519,696,375,741,413,883,868,814,579,181,924,850,560,779,
266,537,934,432,449,069,722,928,823,140,296,645,746,438,243,050,988,975,913,
428,862,284,410,989,034,165,465,229,988,261,239,412,315,913,453,526,439,036,
835,533,316,663,010,874,678,434,792,559,043,577,625,101,377,928,320,322,083,
988,794,975,977,290,510,480,493,806,338,014,288,973,631,789,960,407,627,772,
469,532,091,702,057,581,604,278,898,183,260,914,810,961,181,416,574,038,588,
816,622,392,489,621,143,526,827,936,315,782,020,105,252,610,329,585,532,183,
988,112,201,329,413,345,786,678,003,014,821,828,577,783,121,339,531,518,454,
587,347,885,990,572,211,054,924,690,869,446,194,095,138,408,998,161,037,987,
615,144,005,713,404,600,091,422,226,095,946,177,233,929,363,788,261,969,558,
114,337,593,140,012,712,989,929,886,305,223,827,639,269,026,536,957,249,433,
338,572,065,714,535,535,884,557,358,325,361,939,349,052,200,440,575,774,243,
029,164,294,512,281,915,064,234,080,150,584,103,200,751,183,002,100,097,918,
529,354,201,082,397,340,434,743,361,429,451,824,397,494,710,253,859,714,760,
431,911,205,276,123,006,415,521,494,189,780,352,454,607,490,353,657,688,000,
836,009,775,963,530,299,268,867,050,336,034,753,492,205,546,082,283,686,910,
711,333,919,925,246,681,505,628,703,319,186,190,703,245,060,150,076,922,226,
452,336,459,412,197,612,377,267,255,387,272,831,292,465,019,483,647,577,348,
741,245,771,662,881,098,725,261,533,994,635,413,513,503,612,541,304,959,637,
742,036,983,383,705,642,761,744,401,489,170,886,525,957,232,446,872,036,019,
247,338,326,437,514,319,744,388,997,224,538,240,691,528,364,705,051,732,413,
801,834,627,412,743,413,394,309,143,106,000,194,746,181,391,164,244,332,092,
923,956,238,381,390,462,322,248,956,009,133,296,207,182,574,999,772,304,233,
649,542,023,318,212,796,376,562,723,946,681,535,026,410,137,570,002,732,660,
834,920,734,950,000,272,304,814,046,796,927,627,088,475,901,544,180,718,596,
647,432,513,305,721,465,941,440,043,265,934,958,432,976,383,371,821,433,604,
502,965,049,097,200,789,755,946,360,577,547,784,647,129,637,096,286,025,184,
782,496,720,716,715,257,861,654,987,057,708,567,661,467,163,115,287,129,051,
908,173,696,889,552,668,384,480,521,456,493,627,652,974,372,501,279,995,259,
240,719,569,700,475,849,286,628,153,310,394,428,142,446,372,552,592,202,096,
567,607,691,538,328,928,487,599,152,593,433,621,272,216,097,380,676,454,734,
074,943,292,709,847,549,700,973,071,390,236,270,637,751,346,565,778,852,270,
630,391,827,870,631,132,103,742,355,019,688,618,903,885,148,866,643,081,849,
604,490,184,096,431,018,740,225,934,115,211,035,250,750,793,602,661,709,872,
633,381,357,473,169,582,678,533,196,331,477,307,436,660,032,217,408,945,057,
329,437,380,102,264,733,812,522,506,571,565,748,956,079,149,895,968,455,838,
332,024,095,804,317,566,779,163,501,964,847,421,093,809,063,844,152,053,029,
682,641,363,989,225,839,245,550,954,188,972,388,645,704,653,889,305,869,241,
953,239,446,027,038,286,487,748,650,358,501,364,030,714,393,588,822,671,369,
772,633,200,354,892,131,513,174,226,168,901,573,243,887,229,746,496,748,330,
715,668,893,808,230,805,922,965,836,892,512,159,743,073,848,510,729,640,863,
748,187,693,041,972,916,962,358,462,750,270,677,449,386,636,524,141,061,829,
912,163,504,324,107,411,450,542,591,486,443,269,408,803,780,550,230,865,312,
607,404,024,508,865,772,267,612,908,569,028,241,115,114,193,345,226,566,130,
124,528,203,808,418,076,570,073,254,607,623,419,844,886,677,273,598,098,421,
374,898,521,949,333,358,411,559,646,377,449,851,758,947,018,569,363,615,018,
445,588,358,713,446,927,811,065,676,241,313,621,172,208,829,289,985,411,308,
476,833,849,545,140,508,392,676,484,259,095,177,770,377,855,264,885,168,675,
836,834,650,951,128,115,626,622,964,576,807,581,669,074,334,894,256,159,065,
283,992,865,037,411,107,773,443,818,549,789,917,914,561,836,022,083,146,617,
181,300,342,436,195,450,783,539,630,582,887,908,623,451,831,302,987,810,143,
973,264,159,319,569,847,426,232,447,417,634,074,371,485,419,167,299,069,827,
526,790,924,021,195,312,136,003,478,465,102,511,527,968,858,985,198,119,458,
930,786,480,835,747,324,497,085,539,503,765,542,697,466,980,380,293,319,418,
376,791,687,575,709,144,121,537,810,008,929,005,698,505,210,052,167,600,679,
658,347,577,186,688,625,590,542,483,764,845,462,648,044,046,313,169,777,814,
745,450,527,917,567,830,903,140,596,940,338,455,647,135,623,604,153,572,899,
951,800,804,691,901,004,927,574,994,087,774,064,025,912,398,539,273,317,262,
434,410,022,828,241,160,360,435,282,026,275,139,163,058,543,144,080,750,170,
356,793,586,656,896,981,078,274,432,147,861,797,829,052,268,211,705,746,732,
344,333,442,224,977,322,331,790,982,326,801,744,246,444,842,563,172,511,479,
691,744,333,057,374,952,472,358,172,239,891,202,361,749,760,728,520,963,219,
170,729,716,952,234,480,706,104,563,855,206,444,519,034,103,626,306,572,309,
639,113,165,714,544,470,938,344,391,596,851,547,106,892,861,735,033,125,198,
585,777,382,313,821,050,447,458,186,014,338,020,552,156,071,192,630,160,775,
460,164,013,852,525,773,366,162,232,147,411,154,493,298,156,115,519,506,778,
451,991,486,867,997,877,308,802,443,192,171,565,756,178,437,420,348,795,815,
942,563,983,388,798,510,775,059,413,447,594,472,031,881,142,140,885,300,549,
242,322,621,463,841,895,969,983,641,246,422,795,111,248,999,658,697,372,833,
433,927,607,800,030,514,745,861,201,531,959,693,951,052,389,332,572,656,169,
194,850,427,475,878,838,385,848,545,514,327,855,672,511,015,669,122,268,664,
538,996,400,930,235,881,367,903,275,203,919,695,388,834,181,966,580,825,612,
183,551,117,819,557,483,165,910,269,249,525,399,847,241,603,353,290,216,119,
929,788,815,733,064,429,141,728,622,596,659,416,819,721,339,184,157,250,447,
992,231,991,959,535,524,196,475,163,440,448,757,576,606,780,814,941,392,205,
390,404,661,602,064,294,912,253,343,488,716,158,765,818,200,178,883,846,418,
383,171,653,953,404,720,547,562,126,058,586,013,918,114,395,656,577,718,959,
536,926,419,373,566,262,210,045,030,581,421,106,747,873,380,888,414,081,784,
368,184,400,571,933,319,507,749,978,554,021,605,143,815,687,738,418,068,495,
024,865,879,216,498,301,912,238,369,652,664,214,844,751,838,076,908,661,500,
979,737,975,348,151,745,706,605,360,400,242,343,624,610,980,074,443,570,766,
525,092,953,340,277,524,059,403,181,494,963,238,985,165,171,221,621,412,857,
830,221,265,432,875,715,958,131,309,231,137,883,147,473,832,337,894,688,058,
890,853,375,487,360,044,462,771,297,614,156,865,649,374,522,594,459,027,899,
407,644,241,001,885,251,989,632,917,341,560,907,203,141,380,626,719,272,269,
963,484,571,154,463,652,141,027,209,750,890,743,831,000,003,788,094,738,875,
578,636,344,535,356,066,334,692,689,615,302,443,922,739,100,904,618,149,980,
611,454,483,151,123,215,574,121,902,601,453,250,664,723,599,340,902,682,552,
972,771,026,265,268,207,886,474,865,690,543,702,169,393,818,675,914,385,858,
385,429,944,542,920,794,292,205,795,445,297,972,445,606,823,523,950,656,580,
413,891,073,712,210,922,514,233,733,792,227,222,027,947,144,942,140,522,048,
949,638,284,423,282,370,547,057,605,171,725,693,405,671,062,744,401,874,207,
314,069,625,953,093,737,153,500,412,893,478,249,197,627,067,696,029,341,018,
000,508,342,888,943,607,465,073,847,251,328,066,470,595,295,505,765,143,442,
839,513,425,151,058,395,252,299,557,545,755,136,417,068,385,747,174,932,506,
937,957,387,094,897,550,042,887,099,914,998,218,765,386,865,208,439,475,371,
458,994,733,032,346,897,426,514,421,357,197,080,868,001,612,703,870,967,512,
067,546,992,103,175,311,660,178,020,968,074,605,928,302,481,146,218,639,522,
694,015,126,789,217,232,888,892,920,918,628,756,362,143,866,098,041,656,949,
537,395,914,829,707,801,100,362,208,720,170,189,662,329,138,747,628,350,474,
587,306,695,662,419,415,182,150,490,064,167,568,646,170,527,391,996,279,905,
895,148,167,435,383,270,023,931,622,912,537,912,943,932,910,955,289,419,873,
611,543,477,500,490,510,869,825,535,918,116,309,937,614,052,164,031,974,871,
076,389,322,589,659,162,584,113,070,858,546,499,347,501,251,434,389,806,701,
964,923,732,838,882,667,577,022,410,913,183,992,026,083,011,265,054,762,116,
885,930,717,381,537,138,821,319,234,136,700,495,514,203,547,231,958,539,356,
122,422,907,398,449,442,196,691,116,218,475,773,493,752,774,984,138,349,706,
548,765,934,787,703,231,188,112,408,502,572,562,106,452,448,085,921,083,652,
356,433,976,515,634,095,634,729,506,164,248,707,510,236,128,087,786,930,814,
478,316,054,591,993,036,103,370,791,430,633,469,589,824,634,144,213,915,371,
855,348,473,499,251,783,563,798,292,133,527,222,085,842,205,543,143,975,881,
860,482,365,413,286,987,359,057,516,282,169,274,329,764,998,478,722,250,563,
829,198,897,787,111,997,472,237,484,261,758,905,964,196,202,155,943,484,104,
328,165,749,971,855,876,481,914,744,533,754,161,486,205,018,943,808,589,475,
783,644,827,097,687,604,032,188,578,798,431,354,815,564,716,795,029,879,251,
491,111,631,577,366,216,290,368,652,420,103,980,749,994,100,161,064,786,514,
586,231,598,955,784,625,827,190,388,293,861,501,009,171,559,170,714,616,471,
231,846,375,722,628,567,252,149,156,393,391,209,642,029,962,548,816,874,892,
672,263,132,336,341,724,514,608,029,211,070,494,816,859,184,130,850,064,311,
744,895,020,825,072,693,489,834,736,279,116,379,030,269,528,432,811,555,907,
044,207,124,072,277,685,386,362,369,994,852,829,660,619,875,665,826,060,440,
807,494,766,618,121,239,276,661,654,401,674,039,241,700,961,328,937,702,435,
068,040,705,756,703,885,915,104,792,750,064,610,200,813,688,947,740,880,025,
272,070,501,500,290,510,765,983,914,053,074,734,021,753,401,357,361,400,026,
358,241,872,351,061,125,636,033,280,927,453,153,679,727,263,607,342,947,815,
423,985,865,165,565,497,544,018,680,620,147,466,639,625,730,305,127,615,219,
942,970,819,534,495,395,883,653,139,081,931,012,940,093,492,702,102,961,126,
728,643,207,336,110,349,084,492,986,623,612,870,041,315,238,314,441,708,427,
976,118,844,233,566,743,838,675,822,484,443,945,552,690,180,353,777,984,786,
095,466,246,833,250,364,949,673,223,325,804,895,360,833,495,138,064,835,886,
738,625,819,918,009,265,694,087,241,409,530,562,702,093,688,106,202,759,145,
528,265,938,194,054,117,617,237,897,385,682,426,111,861,889,192,061,667,043,
973,550,075,185,814,232,345,716,554,439,754,233,692,668,269,144,952,900,804,
561,036,466,171,272,985,842,724,742,570,925,853,441,278,848,577,728,925,668,
133,565,927,354,717,744,155,543,325,081,418,092,346,515,637,574,651,975,478,
601,031,463,664,897,500,979,524,283,501,039,090,577,401,498,601,353,698,204,
611,745,308,719,593,261,352,283,779,457,073,516,820,929,349,451,697,908,190,
358,620,368,873,454,920,031,528,435,173,645,046,360,663,773,300,407,090,885,
815,562,988,789,192,174,783,420,713,395,413,718,976,845,238,665,334,370,750,
419,343,346,987,357,420,572,737,071,501,204,206,957,011,039,560,520,332,497,
449,883,218,916,423,233,233,364,434,810,736,402,561,788,796,977,321,485,791,
236,422,821,422,798,700,488,933,811,031,487,528,320,020,553,842,140,422,441,
565,830,374,450,657,091,919,419,923,784,253,533,054,396,622,289,069,279,251,
532,666,156,007,112,745,267,259,642,770,095,933,201,838,506,590,272,188,856,
798,023,779,948,680,742,841,531,593,409,293,683,197,200,752,644,268,616,590,
451,393,912,809,276,282,495,422,203,052,183,133,655,715,907,972,434,701,389,
444,294,914,710,502,553,761,827,185,487,019,052,571,063,015,461,690,774,586,
273,475,191,864,216,233,025,562,231,785,769,546,326,346,946,318,622,287,165,
916,034,772,083,871,978,626,872,763,991,566,240,204,070,317,308,484,016,019,
631,206,333,906,591,433,488,137,240,410,494,301,570,185,625,565,001,371,948,
768,053,958,281,676,810,933,751,632,334,233,700,437,853,565,251,468,794,014,
116,063,866,857,553,334,911,611,790,595,864,307,093,485,605,301,615,850,724,
889,974,937,769,300,947,508,992,329,462,185,076,156,283,201,045,089,315,359,
873,139,061,920,778,051,924,997,034,213,732,462,392,312,736,991,271,830,110,
631,591,331,671,261,150,337,404,498,169,676,920,517,554,358,054,424,725,221,
728,259,415,438,367,613,075,410,209,595,661,293,583,643,940,681,096,265,355,
951,941,755,723,265,959,616,700,753,444,684,025,963,340,373,846,405,751,692,
306,123,274,039,191,133,581,390,541,230,808,600,542,548,587,090,335,154,646,
487,948,832,457,183,564,466,577,745,009,205,894,988,121,658,615,510,298,839,
815,428,075,593,960,421,542,026,322,194,217,571,538,018,300,026,200,296,572,
676,579,367,674,396,497,930,564,743,312,360,153,946,421,159,122,657,683,034,
902,845,521,504,871,328,127,010,026,452,517,482,512,022,604,964,146,117,168,
950,275,614,555,701,254,166,032,454,015,967,612,097,599,312,273,768,329,984,
716,118,884,327,926,812,812,868,952,070,056,221,430,447,046,942,044,501,545,
499,656,289,675,585,307,873,323,573,189,683,834,406,700,916,262,188,607,588,
588,447,669,556,049,537,451,215,819,623,661,031,252,746,810,177,597,118,405,
076,617,968,172,672,487,842,116,059,065,648,052,732,659,902,035,514,166,773,
289,462,292,882,729,642,973,079,820,401,748,715,515,999,185,223,781,889,341,
928,516,562,515,341,741,277,810,899,962,243,812,706,419,010,466,159,205,611,
769,392,823,680,963,279,674,761,215,618,899,646,471,591,013,431,020,509,785,
271,922,657,545,938,201,824,403,451,556,188,513,564,703,060,882,848,223,751,
383,661,323,890,432,308,785,063,207,396,368,793,563,196,592,059,894,167,214,
108,073,046,558,515,668,769,318,487,185,036,882,638,548,097,736,059,816,104,
629,992,296,501,238,920,386,685,843,687,780,210,746,441,370,216,454,086,204,
866,279,972,278,226,487,868,383,755,559,401,093,806,718,325,952,972,931,756,
315,313,430,896,573,947,220,377,908,012,047,452,202,207,211,470,245,961,574,
233,912,675,960,929,682,927,081,546,682,812,821,953,191,769,487,276,860,553,
554,854,013,465,055,093,699,533,107,695,086,892,030,900,581,947,340,616,580,
224,866,073,480,492,541,022,637,148,289,933,015,570,371,814,905,784,914,603,
552,669,359,864,733,164,066,757,568,669,544,896,088,410,230,588,194,410,243,
015,449,274,153,880,539,854,318,108,736,148,378,281,651,151,058,354,466,619,
891,973,676,635,564,032,770,575,833,934,761,832,626,391,585,058,754,735,271,
868,254,399,732,995,495,370,955,946,684,884,367,084,361,574,586,479,653,517,
595,146,454,291,464,183,315,961,368,645,497,508,340,958,752,248,065,626,072,
678,817,846,525,825,811,554,008,567,528,681,812,571,717,395,635,330,887,053,
785,889,184,697,159,893,211,581,529,079,031,741,891,156,740,484,199,165,296,
967,833,124,638,040,509,580,789,784,402,244,847,900,566,047,432,406,535,569,
025,095,243,824,224,834,035,630,665,880,250,097,548,265,338,937,718,126,374,
509,481,832,936,798,043,334,662,944,595,070,218,983,473,630,483,100,321,430,
076,624,668,027,153,106,984,963,647,084,343,292,339,107,070,601,768,994,114,
463,831,241,263,949,090,687,189,276,290,860,009,550,106,900,772,525,800,798,
542,128,442,918,114,979,093,986,496,508,065,470,767,637,810,045,391,407,268,
164,607,277,368,281,156,086,477,535,906,010,697,817,306,593,494,215,031,326,
540,532,077,544,621,904,238,328,388,273,775,920,987,273,902,047,870,276,891,
973,978,226,860,603,569,351,161,609,305,109,985,100,903,914,840,469,535,446,
510,252,861,839,734,123,882,942,749,832,807,915,875,500,719,628,621,945,360,
555,714,705,535,679,545,741,153,285,917,724,039,191,631,530,506,950,322,331,
607,028,151,731,879,425,602,966,629,493,787,068,420,117,301,246,647,667,428,
861,970,024,554,798,548,425,374,794,906,578,656,271,406,453,456,845,067,578,
461,622,824,690,782,545,682,799,947,736,651,452,781,101,643,360,603,339,897,
611,591,932,655,577,050,565,240,303,821,340,810,267,616,535,756,774,273,612,
239,095,157,920,351,214,202,751,368,777,351,287,648,511,668,674,060,072,312,
439,918,764,889,166,055,531,311,008,309,370,172,730,503,473,488,151,471,376,
423,501,186,623,487,946,975,215,597,809,112,526,569,206,572,134,995,897,873,
063,595,126,235,902,951,920,988,381,642,211,193,876,588,870,332,706,273,013,
579,665,371,342,767,109,554,216,234,929,473,666,967,896,109,314,673,079,905,
978,904,956,418,814,562,501,344,534,615,247,949,568,433,238,374,579,398,801,
694,493,124,857,671,584,646,867,681,338,265,502,889,186,309,030,899,991,536,
719,290,715,009,327,886,088,651,926,133,647,355,595,583,007,021,667,119,400,
857,505,835,035,015,258,437,888,279,808,018,278,156,211,007,676,117,774,719,
037,908,673,630,147,272,564,479,477,087,277,774,515,839,531,880,711,170,036,
384,566,222,882,664,235,351,638,908,741,741,088,090,967,250,958,377,603,708,
126,253,816,636,244,990,374,744,076,684,322,602,712,975,774,684,568,189,537,
883,196,724,364,818,202,253,230,002,668,613,210,214,118,005,236,195,664,580,
771,489,414,348,894,938,726,629,184,192,413,806,317,160,919,683,987,584,195,
000,276,844,480,890,605,727,466,257,718,020,258,267,516,215,029,095,172,589,
246,407,461,222,978,241,714,963,240,272,104,184,434,853,029,679,785,489,658,
634,217,903,140,609,874,189,978,839,066,995,806,592,008,130,012,981,466,655,
813,084,901,152,164,932,128,375,106,609,333,741,380,924,994,073,638,767,294,
103,552,187,624,003,639,093,388,300,693,079,372,100,001,666,222,303,362,889,
855,234,846,769,265,099,373,072,937,667,063,241,276,555,422,412,226,324,213,
851,123,029,033,274,782,270,947,149,237,161,165,794,685,992,496,706,630,882,
968,567,926,297,241,738,375,638,422,769,206,407,114,145,845,430,682,570,081,
395,358,495,082,857,509,528,701,438,888,795,821,328,954,197,685,994,166,720,
099,065,920,749,197,363,407,337,251,501,372,257,647,943,376,166,517,089,508,
379,712,310,370,501,414,787,093,195,035,854,544,781,498,500,106,004,106,070,
370,370,507,177,832,414,498,830,469,929,873,211,737,740,741,824,351,249,587,
546,216,510,488,321,438,051,328,359,179,679,799,760,147,829,637,876,616,604,
371,896,217,755,167,772,219,006,199,434,199,046,951,696,889,499,243,598,988,
593,825,078,940,400,218,893,793,835,268,838,988,640,455,550,428,503,956,555,
218,622,575,689,341,796,604,309,083,966,559,062,029,880,892,801,034,048,143,
020,562,593,364,391,657,179,767,211,053,730,107,890,023,839,856,935,385,146,
952,681,030,176,814,060,730,544,213,432,603,000,503,967,198,072,566,973,771,
509,915,661,027,594,794,089,003,665,232,198,541,688,921,516,352,253,334,807,
353,235,835,514,096,127,337,819,195,845,393,024,438,086,943,268,508,029,119,
366,746,562,750,637,685,745,325,420,448,449,955,968,134,340,181,841,103,271,
431,086,386,236,538,782,080,826,757,577,521,021,633,727,004,721,874,696,444,
757,485,441,521,042,436,154,232,072,470,879,404,459,930,830,388,831,533,955,
286,687,792,346,383,667,645,150,457,608,978,663,032,303,058,823,353,308,552,
011,371,703,825,452,962,291,799,479,575,473,422,394,630,237,113,974,171,653,
908,262,836,365,590,670,076,937,343,041,632,263,279,792,272,787,490,092,072,
164,672,871,078,357,009,584,677,705,214,693,027,640,614,144,506,540,717,911,
425,344,143,247,259,489,943,479,124,731,606,837,921,612,027,931,568,011,883,
524,811,884,909,878,428,515,645,517,430,084,575,059,040,318,074,984,944,408,
963,753,563,556,836,802,552,077,294,771,361,377,842,722,810,245,886,771,421,
680,807,098,417,981,830,163,160,121,431,854,180,180,642,501,355,311,255,040,
748,449,441,250,478,967,206,834,686,836,134,481,379,219,025,918,936,668,942,
533,959,307,705,166,463,526,935,153,642,293,081,834,222,008,398,244,433,367,
480,588,391,870,502,227,639,397,329,903,914,317,082,810,846,985,774,354,630,
068,872,895,477,458,243,799,408,585,292,905,487,610,966,163,444,421,199,016,
065,943,887,878,730,841,733,856,036,596,429,505,970,121,059,170,048,162,126,
540,651,633,220,034,363,325,869,163,560,348,092,558,498,778,532,744,032,263,
249,152,623,882,969,676,001,600,376,857,374,091,545,665,230,192,229,887,093,
592,574,719,810,813,854,538,680,291,249,262,876,944,802,058,100,370,407,885,
315,150,007,815,321,700,302,942,097,139,337,413,173,850,361,978,380,024,779,
103,432,044,819,582,923,039,106,131,282,922,906,973,021,693,216,440,605,508,
776,454,212,322,609,671,035,515,466,283,691,449,004,420,121,729,839,519,760,
759,265,486,173,602,476,791,572,909,593,703,621,495,167,766,186,231,754,324,
577,734,571,168,333,218,512,021,370,459,485,655,995,597,159,164,971,360,336,
819,328,631,034,265,125,706,300,994,989,376,116,550,117,130,457,773,303,626,
505,040,661,583,025,506,320,623,687,989,089,886,708,553,967,823,246,152,286,
469,959,693,020,167,398,301,857,406,041,847,874,734,409,830,380,352,548,602,
007,399,294,602,916,026,493,081,942,836,736,862,285,322,147,843,770,464,316,
774,135,417,602,514,959,072,150,406,952,487,301,960,447,875,917,765,112,969,
794,667,836,209,622,437,365,083,765,076,353,939,161,971,087,182,091,571,013,
028,292,253,124,751,140,437,386,616,755,245,088,948,573,547,100,738,176,891,
162,422,926,099,105,638,150,819,028,430,600,541,163,182,303,915,072,181,909,
884,850,243,073,292,105,728,120,344,458,438,953,394,980,463,009,538,274,933,
783,197,542,139,278,341,380,126,039,441,702,749,581,359,417,340,590,575,797,
459,903,547,641,372,778,670,569,912,762,076,505,172,033,510,029,124,427,441,
758,313,715,437,791,824,870,825,026,736,601,384,142,339,213,533,109,553,931,
062,839,556,119,839,363,873,835,059,393,634,846,401,424,716,325,891,492,253,
630,385,043,141,125,046,004,915,677,655,071,623,129,993,697,836,389,490,748,
337,540,798,251,916,167,397,396,292,430,203,040,229,480,482,468,421,414,942,
945,527,757,570,717,082,255,749,597,242,025,307,817,344,979,360,464,887,890,
914,614,356,206,057,998,232,277,462,729,755,413,552,243,294,138,427,017,198,
874,537,544,693,769,584,249,370,708,584,926,589,833,478,555,593,553,886,656,
226,106,086,449,994,555,178,961,155,546,327,388,349,109,904,473,522,663,947,
690,602,572,096,069,635,196,525,437,761,386,458,915,978,282,080,109,929,492,
088,675,338,338,197,415,988,656,657,372,311,228,448,354,965,613,177,224,024,
242,459,690,531,810,097,485,252,703,654,957,737,405,888,694,065,984,836,978,
577,380,694,896,888,687,313,999,950,979,421,417,270,422,701,571,913,373,935,
993,845,398,158,848,121,891,240,628,391,907,784,561,557,365,122,454,820,718,
623,630,746,600,607,182,367,764,534,571,618,141,218,852,781,125,357,790,486,
397,858,990,400,053,100,858,901,823,220,213,910,157,980,828,598,967,128,992,
927,922,499,254,934,199,670,876,722,496,951,299,618,700,985,883,381,666,689,
776,892,920,132,565,901,036,204,061,221,878,121,791,223,678,599,466,928,338,
291,275,489,771,727,857,057,027,502,116,549,735,674,045,955,091,743,933,391,
710,555,945,814,155,928,624,239,050,714,312,877,890,389,836,774,724,014,420,
381,377,177,482,869,944,282,493,481,474,490,667,585,673,808,155,098,219,773,
182,859,011,362,521,908,394,316,865,215,412,022,143,997,451,141,178,553,707,
148,655,398,464,428,422,045,628,806,525,557,051,812,992,608,884,006,762,643,
577,174,391,649,034,878,886,431,529,851,921,397,770,456,532,566,608,944,348,
732,884,436,641,337,214,822,220,740,474,443,768,951,947,197,199,750,657,168,
612,242,344,696,009,626,355,442,845,222,921,225,949,886,434,418,114,955,533,
621,797,763,661,859,080,453,086,931,415,765,453,173,424,945,782,987,201,494,
042,767,667,027,240,194,773,584,482,983,791,720,476,622,644,709,133,648,877,
739,898,025,289,734,751,789,050,248,176,109,948,099,822,009,103,516,054,916,
172,788,105,897,138,788,436,330,839,354,118,420,211,342,257,855,768,778,073,
447,880,301,514,690,579,127,230,144,286,778,182,994,643,298,315,883,438,299,
169,247,843,910,439,576,075,523,761,807,871,486,953,834,484,683,352,629,374,
786,989,256,815,350,999,796,639,479,288,608,435,506,341,386,444,834,381,757,
594,584,342,777,285,059,887,178,108,595,763,380,818,214,193,717,338,464,054,
762,603,594,453,682,616,286,759,957,770,822,547,742,274,520,693,088,395,566,
512,128,035,470,838,068,842,391,912,234,645,268,906,426,815,238,295,508,134,
395,291,349,524,513,736,330,160,681,479,431,078,803,907,501,436,356,178,066,
257,834,458,570,114,153,108,819,682,614,294,574,260,514,601,359,230,458,240,
514,751,624,257,940,020,316,324,709,063,806,757,092,268,292,213,844,378,392,
742,183,511,034,370,112,710,883,792,588,897,558,171,155,983,873,672,944,056,
734,997,059,586,454,262,690,548,054,554,368,936,794,297,987,874,068,844,070,
813,360,761,263,180,864,661,366,470,993,000,223,661,090,884,425,439,367,436,
727,244,824,214,518,354,861,716,401,573,935,549,327,635,051,768,149,455,526,
260,004,894,544,711,203,246,609,293,055,058,322,651,238,545,932,273,633,351,
416,061,839,597,886,235,948,244,401,288,296,824,062,958,947,369,427,463,381,
549,850,292,680,688,797,241,914,262,582,770,112,725,051,911,644,370,078,403,
544,227,083,626,529,601,892,730,239,275,580,080,632,769,235,618,012,884,091,
806,244,601,497,905,889,035,358,906,800,970,031,892,553,059,385,926,431,662,
081,619,704,789,019,906,269,356,138,731,559,729,310,443,415,049,513,126,817,
850,531,205,463,498,339,849,384,028,382,775,228,071,338,173,349,134,520,385,
442,145,662,544,314,382,169,087,653,553,619,555,976,049,657,639,258,591,127,
491,838,164,860,555,514,048,284,273,171,390,012,101,392,337,059,965,460,344,
696,077,673,466,389,757,456,363,315,042,586,501,764,767,375,038,650,088,146,
382,886,939,576,710,571,394,634,637,688,486,703,047,165,788,644,231,758,814,
789,197,308,179,008,425,013,694,942,504,414,007,206,899,157,781,356,439,721,
508,025,207,577,790,532,140,170,119,826,191,275,881,666,430,023,166,360,041,
425,506,392,465,800,205,838,771,095,690,531,816,154,471,295,412,743,780,196,
070,728,311,251,852,289,454,479,875,962,707,935,895,595,453,400,271,754,282,
877,813,617,268,050,030,109,473,007,054,816,407,076,311,796,600,473,195,468,
503,326,193,456,031,804,191,934,077,430,541,294,567,540,693,884,895,017,300,
399,693,957,459,412,070,875,330,000,406,445,637,133,018,833,009,012,324,053,
517,903,719,120,390,683,805,786,479,722,439,697,647,248,905,520,079,149,658,
399,342,982,066,622,421,283,783,459,029,572,583,029,455,320,689,675,349,013,
607,534,886,112,116,199,963,910,467,615,082,654,460,876,889,619,756,031,421,
936,739,490,527,713,805,831,753,867,194,742,422,062,859,707,788,730,228,269,
941,974,317,603,639,045,865,290,908,534,879,464,636,097,388,100,314,709,939,
721,841,235,486,830,019,571,485,379,139,203,337,086,633,023,338,099,657,084,
525,883,709,521,522,389,659,162,537,098,510,322,906,168,999,573,267,565,830,
792,056,251,247,405,885,836,847,947,633,371,053,315,077,453,631,721,733,183,
428,694,717,396,125,951,934,036,007,915,115,316,162,389,827,959,378,993,450,
668,330,270,858,240,226,820,270,644,678,011,265,538,910,702,761,140,435,506,
708,891,212,162,993,683,012,033,832,653,801,101,905,509,318,778,535,361,080,
840,811,583,517,532,358,663,749,056,866,121,587,625,430,944,105,278,519,665,
682,290,637,919,208,659,118,892,246,209,223,123,218,009,005,773,058,736,126,
500,539,119,915,873,256,085,610,001,378,420,126,704,850,162,720,977,261,737,
696,859,000,739,466,977,593,071,379,306,921,259,137,048,014,897,902,316,742,
140,165,984,157,761,356,912,440,492,360,243,109,785,310,712,292,953,382,190,
119,933,994,339,261,924,398,072,539,658,153,211,882,900,150,916,498,915,175,
370,439,902,718,346,966,488,905,277,574,943,000,768,877,523,251,709,927,238,
095,772,015,373,335,353,296,020,704,825,201,582,550,217,650,222,210,445,655,
559,404,213,600,561,189,376,734,319,988,719,857,393,337,533,658,570,910,603,
338,333,181,882,163,319,818,504,149,978,828,849,853,178,168,513,759,489,539,
017,796,331,694,632,864,646,839,466,767,842,893,712,494,485,049,056,902,984,
412,287,475,563,272,782,558,932,829,063,417,211,630,347,436,912,297,495,530,
539,361,527,884,119,152,482,770,439,518,511,441,445,148,631,128,162,226,893,
468,026,354,590,053,159,682,094,601,341,050,173,859,800,495,039,390,512,965,
419,055,487,599,015,589,592,030,142,420,418,950,807,634,097,369,823,836,107,
810,818,655,964,434,645,027,161,223,370,909,199,730,490,350,368,583,422,773,
953,751,972,399,337,367,604,038,926,785,012,763,514,268,313,227,119,418,373,
563,053,884,597,915,093,227,725,480,599,477,345,746,727,561,225,848,976,951,
600,163,594,194,784,849,621,216,963,892,977,213,529,314,472,414,478,234,752,
725,003,622,290,307,907,037,003,185,490,714,848,374,648,338,820,142,955,253,
370,361,103,744,741,268,200,759,988,597,984,448,070,783,287,348,292,985,587,
590,689,531,254,293,812,614,793,186,296,121,087,952,182,081,564,745,721,526,
068,867,529,860,342,714,357,460,201,962,311,294,750,979,876,526,522,382,417,
034,348,033,928,319,288,381,152,959,931,094,129,071,232,450,747,756,757,437,
831,901,754,344,018,226,387,300,503,799,180,187,138,687,195,895,363,990,877,
041,742,440,308,116,505,523,074,790,053,263,925,930,889,461,164,587,598,520,
084,787,371,103,603,704,986,005,249,368,867,554,564,718,255,678,251,344,524,
843,241,454,240,086,462,668,817,416,754,053,457,382,237,593,557,817,038,851,
660,323,396,013,428,880,978,793,126,377,395,234,569,202,573,357,317,224,646,
262,484,234,093,681,737,280,272,738,985,713,711,932,089,440,907,907,444,197,
654,094,788,621,082,540,261,579,194,216,559,043,203,387,907,833,408,005,915,
143,828,486,202,883,903,585,258,359,651,088,271,325,184,668,436,713,553,657,
417,495,126,979,331,279,155,626,640,697,742,444,165,204,371,842,752,550,500,
839,697,479,329,913,371,037,716,841,001,941,061,603,274,312,970,201,481,404,
310,469,130,833,381,050,764,780,633,057,888,246,266,789,255,088,024,415,008,
733,596,361,624,463,198,966,854,685,132,266,033,984,283,283,107,585,018,893,
335,521,316,193,229,153,728,820,642,775,832,717,607,609,212,396,951,719,644,
597,262,976,190,152,591,443,798,193,580,755,083,470,603,809,143,627,012,035,
694,084,689,730,996,005,791,726,161,785,198,047,737,502,861,498,429,630,405,
386,109,360,019,479,549,542,665,384,665,627,645,716,049,827,063,209,280,183,
544,155,367,147,940,193,844,479,275,662,636,707,948,510,359,945,399,936,668,
637,671,613,557,990,673,298,804,048,176,770,233,775,582,878,929,869,891,505,
038,569,582,095,173,223,126,730,698,807,836,176,440,498,515,738,657,879,821,
839,787,804,034,225,639,352,763,672,839,333,797,698,667,098,227,229,771,698,
787,681,527,022,710,767,904,600,118,369,065,070,773,606,999,988,558,185,637,
779,449,396,732,912,938,718,124,446,060,669,008,968,059,709,993,829,663,459,
690,028,663,731,408,667,874,565,272,243,138,909,622,395,308,175,790,483,567,
102,918,776,722,729,570,911,184,428,955,274,439,565,413,904,308,464,032,031,
522,483,979,724,458,080,379,685,965,871,654,155,823,030,062,352,350,321,946,
164,688,875,477,509,256,158,075,930,266,246,076,155,435,657,695,378,196,650,
845,720,963,278,873,915,518,437,111,796,732,998,196,370,279,916,912,482,544,
651,018,514,158,610,759,423,282,353,543,146,939,380,036,036,890,967,821,326,
567,998,907,029,806,838,760,202,687,505,784,682,054,164,973,846,045,006,854,
400,355,221,652,433,770,217,481,052,016,833,224,409,840,113,962,155,320,633,
335,592,419,292,382,730,200,583,223,416,665,915,177,854,978,129,259,516,647,
567,790,990,766,389,257,990,027,504,326,730,319,788,394,049,715,299,699,093,
522,235,966,174,209,553,065,312,247,910,848,677,310,446,907,417,090,702,816,
078,687,774,322,455,023,301,252,801,359,131,438,862,014,925,669,041,007,609,
516,916,803,591,267,459,107,772,835,870,507,999,750,395,430,918,068,347,266,
629,684,895,709,494,323,114,661,280,763,779,648,423,210,353,675,326,990,075,
247,906,126,604,631,348,656,460,985,066,115,085,953,586,714,420,898,397,534,
246,720,275,020,258,326,489,571,093,834,931,871,305,263,111,918,991,490,925,
603,676,324,983,360,977,763,304,686,439,276,464,167,375,250,371,438,179,710,
152,261,593,333,262,915,823,693,983,992,845,605,348,471,413,464,133,987,072,
020,268,691,705,595,148,893,493,462,252,519,587,937,013,342,132,051,127,640,
124,252,707,835,861,379,065,546,820,334,986,432,462,751,480,832,182,001,749,
824,984,553,181,263,553,784,984,211,937,722,402,929,261,100,237,144,862,959,
215,645,878,132,102,383,714,967,886,383,164,895,646,827,078,616,860,420,526,
563,704,777,233,589,796,023,089,162,754,042,081,580,789,217,181,785,866,356,
677,827,508,721,770,840,282,577,992,338,162,606,811,594,769,149,673,635,738,
729,897,609,247,378,650,612,458,433,620,574,273,625,666,376,983,772,627,967,
072,784,043,127,938,713,445,628,118,920,911,164,481,558,532,072,175,795,109,
767,698,363,636,799,304,232,583,336,908,045,949,956,688,424,784,583,508,360,
583,863,337,838,440,030,616,878,479,064,667,828,574,220,813,106,779,861,565,
648,561,899,386,755,325,537,957,231,899,533,312,907,012,862,725,030,631,382,
204,589,268,533,285,511,021,432,726,264,209,511,192,819,103,369,680,455,005,
232,243,427,240,076,523,269,370,963,391,796,738,068,023,791,082,665,866,327,
224,285,295,009,181,415,523,838,466,529,638,576,030,350,007,127,857,860,168,
685,547,803,278,806,193,963,558,233,247,249,244,886,947,670,314,585,009,765,
484,389,418,541,129,406,090,611,775,330,025,310,573,637,999,193,028,167,993,
428,757,607,404,015,339,769,490,085,094,047,786,340,849,208,973,201,859,778,
648,910,975,339,987,071,162,450,035,283,505,127,858,269,303,237,382,158,587,
006,887,639,454,685,566,927,086,221,820,979,961,382,982,451,063,810,496,803,
100,673,227,939,889,160,486,018,389,086,759,822,880,879,802,045,268,368,989,
344,542,078,133,430,358,649,364,840,188,532,312,565,664,597,010,654,343,572,
889,271,556,823,683,015,811,787,491,907,313,767,360,807,389,262,670,090,113,
737,715,580,707,006,034,470,528,531,742,922,502,098,101,388,028,523,697,159,
349,165,823,076,891,182,887,747,104,936,317,411,275,812,449,538,075,201,965,
604,790,977,467,978,698,560,862,654,089,348,157,939,499,793,663,922,726,325,
895,941,635,716,849,672,344,773,718,642,021,947,995,750,706,143,339,047,954,
620,308,249,729,939,418,829,394,193,380,414,553,862,269,546,691,264,196,767,
704,327,955,597,983,785,831,832,595,209,814,317,263,641,216,277,427,528,334,
049,621,769,649,574,110,129,146,451,535,808,372,924,697,611,619,518,397,900,
018,802,988,457,185,736,085,920,652,502,909,163,157,596,198,470,786,688,042,
877,495,299,657,801,638,050,664,876,986,315,928,264,435,861,827,976,150,248,
648,823,451,890,405,130,067,814,595,590,928,775,538,988,617,926,366,184,053,
429,455,600,567,858,623,668,544,142,855,071,944,860,506,357,648,106,777,701,
064,173,894,598,601,305,944,919,016,788,103,862,895,108,568,565,540,975,035,
837,740,188,697,642,870,175,266,451,703,884,505,634,128,315,636,447,295,416,
705,632,290,383,855,007,416,442,815,582,136,914,689,605,728,044,629,726,217,
949,194,172,648,377,158,218,722,275,531,845,242,945,062,788,022,742,774,865,
278,113,099,313,621,540,174,199,466,774,784,883,595,071,756,217,826,100,016,
802,436,001,109,895,134,063,933,351,982,108,547,219,154,818,351,337,546,863,
630,825,067,314,461,567,006,341,897,045,576,825,237,595,135,932,260,633,977,
648,150,237,886,167,351,292,324,256,164,107,821,304,478,618,271,503,936,716,
163,107,318,546,472,616,306,144,797,119,550,629,099,997,485,873,260,457,110,
141,270,847,283,542,430,499,251,597,654,808,739,907,458,289,345,014,442,084,
539,399,292,236,397,857,825,076,062,379,959,010,653,947,713,433,969,295,602,
583,124,838,911,740,505,827,588,715,964,999,590,994,695,034,218,728,661,816,
363,502,904,190,705,014,450,293,179,539,934,758,321,321,510,763,747,005,043,
238,933,158,495,544,052,653,282,262,283,717,560,134,217,666,395,719,565,786,
260,910,204,221,640,133,138,436,201,938,062,866,746,126,122,758,644,624,935,
272,543,319,889,331,702,784,217,524,926,088,758,653,679,968,193,401,081,076,
491,102,241,394,304,863,819,284,886,896,932,857,405,895,383,117,106,873,392,
219,753,911,588,557,800,154,007,709,341,199,521,835,332,446,057,706,775,229,
574,291,922,030,630,490,037,797,156,012,988,538,412,470,241,199,025,584,089,
158,742,461,852,658,445,487,708,410,085,318,205,130,767,746,104,279,901,609,
605,395,930,869,523,148,862,392,461,421,925,872,076,356,352,488,812,028,200,
727,412,260,222,834,565,520,596,248,781,057,032,811,526,632,353,893,099,781,
983,633,145,260,662,799,635,231,124,480,208,786,147,703,274,882,870,003,840,
727,282,640,541,941,406,156,616,666,721,052,576,354,458,779,631,086,480,891,
193,291,315,399,163,736,166,977,936,279,045,078,876,632,242,510,060,042,392,
623,149,061,414,361,498,158,993,108,699,504,084,566,826,111,759,454,703,616,
551,352,157,535,474,609,719,276,866,625,396,426,840,164,668,611,809,088,715,
488,464,010,898,139,496,696,638,003,577,365,491,449,153,782,976,929,309,241,
774,141,905,223,258,103,741,429,375,745,086,901,995,500,738,446,149,824,664,
626,860,163,125,376,536,768,101,317,874,582,763,117,930,702,115,711,964,675,
319,062,289,434,095,019,835,079,213,351,441,449,038,261,265,655,503,995,751,
345,702,808,004,590,054,465,266,176,950,218,313,141,985,784,671,102,249,659,
733,117,690,112,174,917,685,786,639,399,428,854,609,805,070,147,477,615,012,
206,645,359,620,506,460,104,462,504,939,907,013,813,676,218,057,716,071,656,
177,609,683,594,684,706,606,711,697,593,780,158,307,632,693,228,532,031,282,
935,786,857,387,479,686,334,354,074,542,932,982,206,968,564,836,362,171,335,
698,874,262,853,351,333,758,967,604,633,270,105,984,316,294,254,341,703,568,
613,403,164,745,188,800,625,682,046,999,536,471,847,257,299,680,775,711,162,
755,181,136,554,849,727,946,218,026,458,521,676,855,651,385,399,130,109,746,
421,231,118,725,518,929,063,320,614,475,946,307,306,091,702,133,289,456,631,
811,177,910,021,515,982,160,037,805,158,092,130,180,689,746,026,370,757,977,
014,144,267,023,799,826,059,254,301,648,923,881,692,172,538,777,671,603,117,
986,671,787,631,698,409,422,469,386,276,754,256,488,559,560,296,764,051,895,
795,690,407,475,584,912,683,061,520,558,276,511,831,191,498,259,391,993,357,
007,833,481,581,234,968,421,021,719,726,576,877,228,942,817,419,359,654,157,
867,352,825,278,670,629,837,623,495,255,023,300,677,322,920,820,614,189,905,
841,319,650,833,905,986,764,731,464,455,892,020,401,305,191,121,783,498,710,
717,568,525,677,250,169,466,479,789,904,559,973,202,707,874,441,955,035,198,
362,367,231,460,427,334,036,917,195,397,509,570,591,805,521,368,341,226,293,
243,733,304,750,123,805,469,729,890,568,278,085,060,145,838,113,193,556,122,
742,111,626,926,890,576,625,521,034,878,513,901,147,310,371,004,797,048,754,
693,406,801,270,574,300,221,861,031,251,175,955,312,340,389,259,853,530,779,
813,529,392,031,531,074,079,679,460,777,640,289,477,862,341,305,012,063,655,
187,348,247,921,323,439,516,124,131,697,455,264,610,650,057,167,523,439,200,
957,758,584,695,908,582,731,810,744,158,178,439,764,214,272,197,743,160,841,
345,743,919,743,805,415,038,467,649,340,049,986,712,571,929,750,752,786,301,
429,115,070,514,859,643,383,976,191,020,770,665,491,865,493,828,677,362,016,
516,621,743,782,871,075,171,559,939,585,566,410,213,769,272,948,823,898,899,
655,357,768,195,421,780,177,023,077,605,573,523,231,584,348,015,337,369,970,
461,721,214,411,304,952,278,746,850,843,621,799,659,606,375,727,092,308,017,
530,847,458,293,128,619,634,816,100,286,003,091,599,712,004,579,563,614,206,
873,904,028,310,688,705,396,343,113,978,551,558,794,916,735,367,846,075,634,
145,857,505,822,066,127,114,356,490,614,358,002,243,788,895,829,490,815,177,
739,199,011,180,848,313,262,858,533,263,921,761,254,147,354,738,057,436,293,
818,553,945,625,589,490,164,569,881,841,544,035,115,042,271,212,047,501,812,
185,374,520,694,104,578,886,678,168,244,968,453,407,287,715,515,667,538,353,
340,127,610,817,922,989,403,891,029,560,843,504,374,515,844,109,350,276,406,
482,110,628,437,472,322,309,928,059,611,030,256,203,858,711,585,628,496,565,
623,093,468,505,579,448,052,645,354,608,926,374,642,023,810,425,178,433,980,
136,136,473,167,479,442,650,258,828,489,327,735,596,243,822,110,518,237,739,
178,249,132,739,302,039,566,791,784,046,706,756,545,972,474,724,722,800,578,
215,326,529,637,608,023,541,821,008,875,907,029,692,324,887,538,438,627,635,
795,557,064,402,444,379,742,407,732,766,910,088,283,481,588,577,854,397,616,
200,394,347,577,195,331,578,365,356,350,390,534,064,227,300,358,518,734,886,
607,252,033,173,501,716,335,594,403,837,642,245,002,406,347,310,463,985,701,
337,311,395,805,968,233,090,056,313,978,709,987,475,749,561,757,512,975,190,
855,902,165,245,762,164,159,374,000,533,967,758,999,358,053,668,272,832,390,
202,761,327,623,826,985,075,573,935,299,244,783,136,817,821,723,238,773,139,
905,940,536,858,171,208,283,609,808,676,342,810,502,830,222,489,007,492,367,
686,118,167,340,469,066,950,025,496,361,700,363,791,494,156,253,037,140,606,
885,635,229,578,227,622,370,203,599,221,156,987,092,342,415,055,492,917,746,
953,304,766,347,225,495,078,235,108,768,778,364,177,186,582,408,545,892,138,
616,605,597,338,448,942,851,941,934,398,477,030,780,147,654,566,078,499,751,
647,906,889,430,384,740,345,813,746,062,498,287,297,817,372,764,022,545,401,
197,091,241,383,745,748,520,923,750,012,526,643,040,844,300,121,725,948,556,
399,577,346,588,750,220,059,084,558,953,842,911,602,287,864,833,122,552,630,
412,392,762,622,762,067,299,471,741,791,766,851,265,920,505,946,627,208,571,
587,661,704,026,145,018,946,938,047,327,420,246,487,452,703,127,566,167,791,
115,667,081,932,176,939,603,941,031,211,702,014,795,015,356,462,188,696,478,
947,025,480,883,241,528,569,055,468,432,818,887,113,263,309,618,182,394,992,
035,899,402,840,172,900,744,224,453,274,314,969,466,431,136,851,658,809,546,
036,473,705,151,012,152,492,350,858,600,698,993,796,663,799,209,820,584,239,
721,425,699,914,462,473,217,675,177,722,057,563,527,710,940,667,781,817,668,
436,912,978,063,724,103,740,261,764,321,039,672,068,671,169,848,411,335,099,
530,341,110,765,165,906,470,282,379,833,391,477,370,941,742,769,149,037,173,
473,734,397,841,994,099,982,346,543,413,327,288,510,529,123,454,064,404,449,
023,409,424,959,868,832,738,809,336,429,014,000,968,253,048,288,789,853,429,
885,385,615,127,357,528,188,668,960,573,307,411,629,440,351,883,533,445,807,
975,340,093,135,571,808,224,735,727,707,278,853,746,974,546,689,240,979,134,
663,240,038,610,216,338,130,975,987,903,893,445,621,950,530,915,529,805,937,
081,396,307,326,310,371,994,008,185,469,095,495,801,046,587,350,528,687,882,
046,895,030,605,609,384,462,984,073,440,766,283,639,641,549,474,385,718,939,
065,825,635,846,423,832,859,644,868,059,464,483,362,852,594,996,787,716,430,
535,155,659,673,175,931,961,514,853,523,109,547,702,309,608,197,047,375,591,
734,029,936,327,381,788,079,048,614,235,854,875,151,930,434,348,512,103,426,
356,856,992,296,384,218,706,965,454,733,737,150,036,045,047,557,909,215,695,
144,176,831,677,271,717,589,549,354,428,144,621,530,183,678,418,090,784,092,
122,584,753,034,667,130,654,051,682,039,963,882,183,253,822,564,142,308,790,
500,352,017,371,358,538,432,121,899,881,343,533,343,519,286,379,480,488,921,
867,937,311,790,882,882,487,641,827,539,007,920,277,946,570,038,136,672,592,
592,846,864,411,377,840,738,139,571,396,357,561,417,412,995,338,194,741,764,
852,398,367,924,269,723,552,252,953,948,442,666,150,833,948,912,521,690,402,
720,106,856,300,536,320,648,489,543,947,500,947,441,354,634,907,173,174,395,
592,306,502,597,986,944,972,408,778,040,263,047,290,025,406,767,743,500,983,
774,105,722,325,385,933,069,140,889,350,192,338,554,285,312,668,978,750,685,
398,197,480,732,289,105,817,766,322,736,935,408,753,232,939,417,182,577,777,
854,051,800,202,373,092,917,182,928,538,959,103,255,498,097,009,922,630,415,
309,378,826,277,108,827,749,862,111,095,497,823,742,403,865,190,655,763,453,
933,616,271,761,793,306,956,213,481,230,637,982,112,624,952,996,816,077,751,
623,930,736,280,744,499,015,295,069,762,202,846,392,658,173,391,617,631,744,
026,861,297,735,011,307,976,459,312,928,358,310,383,187,134,041,025,357,105,
743,163,541,067,704,626,339,509,171,646,223,393,183,959,634,237,578,982,041,
648,102,288,020,714,654,485,497,918,752,609,809,694,258,613,876,647,892,485,
429,802,426,154,225,572,384,122,857,186,874,429,809,189,842,648,798,186,270,
184,273,861,022,268,215,647,547,291,911,015,566,743,966,762,500,033,428,953,
241,309,522,392,461,817,679,625,415,697,965,636,038,796,635,832,633,202,706,
815,054,655,632,125,994,327,957,207,080,992,723,017,308,784,754,111,528,564,
946,851,822,199,201,708,865,855,836,396,951,148,459,697,329,906,414,567,466,
255,225,232,083,538,291,410,146,432,401,096,501,122,164,425,336,137,833,822,
925,612,236,451,513,619,580,799,595,832,115,098,028,381,162,712,876,395,229,
454,977,172,274,640,584,116,518,879,855,780,075,362,575,224,671,312,662,808,
867,174,611,169,284,705,492,697,648,973,646,792,887,334,473,728,418,071,166,
636,768,236,350,954,491,001,280,074,373,155,483,256,509,453,825,750,823,420,
242,584,333,017,968,530,349,192,741,530,970,593,824,991,248,734,064,063,781,
384,000,756,688,614,515,347,762,732,963,470,298,022,385,816,223,887,216,787,
982,716,540,703,268,417,683,540,517,653,100,777,742,798,900,412,499,495,360,
413,538,514,276,460,422,100,775,259,448,649,856,277,055,147,602,559,899,961,
608,825,551,318,534,878,958,517,265,079,029,585,021,340,239,583,392,126,495,
093,778,043,472,279,433,449,257,173,073,326,230,053,574,696,223,498,462,617,
470,275,519,060,491,187,997,448,995,559,729,958,161,213,134,422,195,506,415,
983,243,467,233,483,189,020,750,064,341,756,296,420,825,300,775,329,653,235,
153,409,518,487,812,791,473,064,594,794,080,374,856,402,053,553,827,028,636,
736,700,595,413,629,562,669,206,122,191,077,138,356,394,067,460,834,534,829,
561,662,075,324,298,849,248,120,810,725,942,572,508,279,663,953,407,519,978,
739,490,029,027,914,904,267,646,118,611,372,645,746,433,124,570,279,684,558,
302,102,742,049,940,743,630,566,494,930,166,283,712,525,289,824,172,593,978,
389,079,188,730,677,096,513,536,917,314,014,866,848,040,092,156,517,452,595,
334,159,592,945,945,791,234,650,410,107,318,074,552,191,606,831,934,876,088,
381,927,700,854,730,354,436,508,996,569,118,884,066,956,201,081,262,913,166,
175,849,171,408,478,823,628,885,611,957,730,629,084,720,126,821,743,948,447,
745,966,819,901,124,733,120,991,125,040,557,139,216,215,711,118,254,916,488,
903,425,931,703,562,889,024,826,056,246,327,594,620,827,216,641,443,280,684,
993,799,988,702,021,615,387,522,950,960,312,569,080,170,983,666,159,226,726,
093,502,352,085,565,952,126,741,735,619,148,835,821,164,222,125,690,036,742,
175,087,019,854,648,271,039,786,772,676,175,187,283,122,245,070,761,914,367,
833,055,172,830,385,265,439,750,131,266,220,020,491,180,657,065,234,309,403,
930,121,343,756,225,234,289,232,920,086,330,572,842,086,961,910,854,557,139,
324,446,000,136,751,600,428,109,170,891,690,277,954,086,116,699,376,418,612,
243,307,808,701,881,669,161,380,727,445,247,191,453,414,312,865,559,271,057,
207,784,535,597,977,562,361,650,536,796,463,599,752,233,295,801,600,207,342,
275,128,780,640,412,448,319,192,540,600,249,095,416,845,866,479,975,910,834,
596,501,627,508,434,561,953,492,288,194,602,397,091,685,529,153,338,587,515,
476,902,607,159,928,609,379,376,999,414,364,269,636,754,333,816,492,377,864,
669,187,110,489,451,214,505,387,031,161,615,914,930,166,616,750,113,736,214,
664,380,590,373,945,660,630,261,037,890,764,262,970,025,473,317,376,518,535,
095,188,940,315,303,668,621,970,662,872,055,808,737,206,065,110,468,919,132,
393,903,436,645,465,733,761,132,369,155,971,863,181,127,352,924,377,450,072,
143,436,869,444,870,085,122,713,016,060,395,030,069,580,103,694,031,740,708,
428,664,244,814,810,888,833,078,949,962,140,545,931,172,350,221,337,301,134,
665,166,623,200,755,630,278,107,302,711,443,674,005,169,925,742,292,197,542,
090,747,605,633,924,790,123,866,946,670,922,096,655,980,142,585,821,940,471,
917,960,927,641,584,126,443,919,089,456,490,924,480,709,554,575,828,349,643,
437,247,578,054,087,598,089,351,305,781,244,860,329,538,133,336,337,613,099,
322,252,675,328,643,790,072,678,126,035,409,776,400,149,609,004,813,215,229,
872,919,424,262,768,370,711,071,193,213,929,575,027,051,145,601,060,983,423,
554,916,011,781,162,379,903,920,406,694,801,539,603,206,671,692,219,709,836,
501,834,781,641,124,908,727,851,650,286,623,845,335,448,470,497,474,507,514,
136,249,317,383,681,718,836,568,125,127,095,638,371,969,231,765,052,645,258,
449,121,421,308,656,829,655,152,157,675,311,712,224,028,085,626,435,618,423,
585,202,383,612,598,152,061,441,143,414,849,584,611,213,788,111,290,641,534,
981,980,934,783,186,638,810,371,997,191,592,836,064,156,059,635,262,634,627,
337,019,842,201,097,932,661,818,825,543,229,265,930,567,647,499,956,781,850,
221,206,529,968,407,000,776,318,760,791,571,933,473,668,551,508,408,529,116,
065,762,709,244,567,041,595,264,110,089,699,182,189,511,731,999,040,752,116,
605,609,615,882,906,197,600,757,779,192,173,060,308,472,954,553,143,965,928,
748,078,550,840,012,592,031,025,791,694,148,620,150,112,239,108,063,508,430,
707,792,688,530,187,949,129,126,705,520,771,497,569,054,213,202,564,504,887,
099,316,273,311,626,737,309,157,580,682,418,269,967,514,504,523,656,737,902,
799,888,853,852,937,601,976,274,726,773,541,583,170,916,281,936,143,026,756,
867,434,970,841,202,513,630,792,672,449,933,824,961,512,676,440,080,261,894,
239,741,350,165,757,449,823,391,640,657,524,155,974,606,298,269,022,905,921,
444,614,703,677,923,044,385,129,140,643,252,972,722,050,568,817,128,802,525,
065,663,231,996,427,199,310,466,428,413,225,338,841,403,838,349,398,606,426,
438,625,246,353,443,851,151,626,502,740,376,434,127,509,481,724,818,182,811,
737,277,938,262,773,256,255,746,674,816,758,852,208,011,418,698,116,090,243,
959,979,410,924,090,654,945,971,041,584,166,963,576,209,520,448,991,189,542,
323,134,554,499,167,195,943,012,330,111,851,548,125,770,883,290,232,658,569,
833,295,372,904,440,585,172,478,213,146,886,588,156,995,867,535,324,572,146,
887,730,564,939,531,275,232,410,021,384,566,717,724,067,352,430,489,163,192,
011,895,422,248,769,528,776,570,941,282,828,083,503,463,916,791,322,570,549,
587,025,659,221,751,208,366,546,063,918,446,089,161,280,203,666,479,350,676,
708,470,871,182,474,568,245,570,258,422,087,592,588,556,056,951,358,232,160,
973,945,865,040,346,268,368,098,286,470,497,478,928,503,121,476,648,445,194,
585,997,029,387,315,918,325,236,090,350,924,316,491,964,307,295,844,633,345,
943,550,571,290,929,757,598,150,963,487,143,377,292,074,390,755,202,330,236,
656,637,274,844,315,992,544,362,235,655,325,907,200,357,318,081,922,683,877,
588,930,089,110,690,026,092,898,260,544,998,218,972,869,235,547,299,336,948,
234,132,050,405,157,922,153,712,078,467,030,901,562,796,483,223,214,191,569,
473,111,180,919,781,460,506,198,800,235,019,107,382,949,611,752,590,705,690,
733,468,726,902,165,518,016,709,372,597,341,474,032,301,219,384,905,153,252,
870,258,440,839,456,466,341,322,890,911,935,354,559,094,316,052,826,881,678,
094,248,625,240,425,354,634,697,475,171,927,429,374,438,376,108,178,167,101,
796,299,773,062,568,369,068,244,568,435,641,407,022,553,786,628,538,787,380,
601,852,402,840,449,722,217,915,044,667,173,616,030,562,538,249,712,299,168,
818,093,743,291,368,182,846,925,433,141,331,268,368,656,953,072,861,739,922,
604,603,496,108,663,398,042,396,592,498,547,260,279,678,798,990,277,581,166,
706,404,223,603,084,515,112,049,894,205,105,346,444,177,418,366,466,461,084,
307,969,660,748,009,697,978,618,348,447,627,808,865,736,791,369,441,887,989,
424,434,332,392,286,275,798,371,597,230,227,301,383,002,095,595,102,156,312,
386,288,148,802,923,680,649,222,631,339,043,292,404,220,789,147,721,876,758,
947,784,975,519,102,161,888,323,568,454,290,729,551,434,868,450,631,702,025,
169,817,853,892,606,259,710,497,198,268,243,812,752,574,585,235,252,225,761,
365,678,985,280,601,217,425,835,852,590,325,100,365,277,882,138,605,734,950,
025,642,349,751,419,831,057,128,055,867,404,701,018,329,138,748,657,215,575,
482,077,211,221,871,910,294,389,685,213,993,556,673,217,771,493,723,436,124,
552,612,532,113,971,228,211,458,500,433,083,762,004,652,029,057,503,743,355,
892,758,545,547,821,942,806,096,796,647,168,822,026,255,007,556,932,248,230,
595,576,651,253,983,348,700,194,702,989,269,330,764,569,485,863,117,233,921,
969,761,836,925,131,590,733,234,058,932,213,723,221,466,906,937,762,221,887,
717,890,386,439,532,722,969,768,398,640,079,164,714,906,518,943,802,422,568,
877,209,431,379,510,465,786,727,139,919,560,109,843,352,973,339,873,023,054,
426,841,988,889,503,398,694,096,196,806,766,761,073,664,394,140,741,871,939,
827,629,958,148,667,465,108,524,070,150,879,292,704,637,960,878,073,814,718,
040,054,919,889,237,075,709,481,966,229,015,695,216,490,746,662,538,741,231,
247,497,865,283,697,542,639,618,138,035,470,854,255,390,261,637,261,119,916,
657,174,022,240,130,526,584,043,833,138,450,204,802,552,443,810,382,052,806,
143,846,533,695,698,055,929,534,064,702,999,202,226,007,837,785,985,263,380,
421,194,812,671,577,093,917,016,770,300,957,681,244,805,230,042,374,008,379,
789,905,230,361,485,552,557,870,337,481,707,022,490,090,690,521,023,004,000,
022,426,400,272,714,032,493,923,903,518,773,622,718,845,930,939,459,418,594,
343,648,674,168,769,762,488,012,942,267,753,876,373,419,671,724,132,137,254,
043,658,675,904,766,100,439,306,439,630,734,366,392,867,607,700,225,305,402,
836,709,107,524,596,080,627,079,555,011,796,998,664,178,908,909,444,760,895,
448,810,650,186,044,565,471,671,340,747,506,725,748,000,428,271,417,259,814,
247,295,765,606,484,572,794,781,497,561,291,022,534,613,798,721,211,044,772,
039,268,246,978,270,972,290,644,783,332,104,249,199,800,279,004,506,072,120,
172,329,107,490,844,253,325,174,418,512,058,506,478,907,911,962,904,158,577,
356,168,359,707,267,262,872,436,034,287,809,741,892,125,059,935,287,167,859,
506,509,154,404,004,655,231,718,910,674,516,035,090,960,104,172,768,167,629,
796,562,686,205,799,394,556,739,248,023,855,462,031,929,607,124,052,657,633,
027,175,146,967,360,225,460,708,269,494,099,220,998,317,699,082,245,929,868,
130,888,018,616,360,326,826,895,914,904,845,547,723,438,976,667,806,478,280,
807,056,637,445,496,990,703,935,221,901,523,585,367,365,010,173,355,641,247,
624,802,299,149,541,327,172,340,258,153,086,648,737,147,234,604,502,877,829,
633,221,436,885,730,691,655,953,272,259,143,960,443,162,913,735,929,265,455,
146,189,174,803,001,867,605,915,519,966,048,527,772,461,856,642,890,667,132,
686,912,124,971,496,276,724,890,128,195,417,272,978,238,408,431,129,603,161,
451,877,937,080,334,052,010,163,154,497,085,730,714,160,908,848,064,024,192,
141,335,392,975,654,412,138,490,111,634,133,207,342,034,314,640,769,709,303,
373,415,610,765,430,676,351,055,093,437,157,268,834,430,669,755,312,952,965,
463,425,077,877,529,765,938,513,490,027,367,467,410,102,904,005,512,353,186,
706,776,148,905,595,827,071,256,438,461,481,072,089,836,056,350,316,519,138,
482,009,078,753,391,909,221,479,096,927,678,657,888,549,867,133,727,598,134,
336,916,289,144,887,762,522,749,978,551,834,713,123,029,162,133,030,580,423,
257,856,536,690,062,808,936,048,770,070,547,085,159,396,038,364,335,766,943,
568,703,483,659,383,274,482,486,951,999,480,957,896,301,696,615,070,979,145,
210,253,589,633,432,204,527,262,993,560,073,187,932,759,484,501,218,948,925,
231,052,933,984,415,712,483,274,693,573,912,616,278,657,439,150,667,009,427,
111,950,921,117,250,847,235,014,776,247,996,980,749,007,441,296,872,579,955,
093,759,120,625,471,754,307,845,405,876,040,971,639,746,797,224,183,989,189,
133,665,010,845,749,605,723,949,286,689,518,581,311,834,691,966,275,926,201,
640,132,465,617,067,943,285,841,227,341,901,457,616,635,118,991,824,355,960,
158,512,089,296,832,514,785,952,760,309,394,114,995,843,620,248,295,146,531,
066,579,933,256,220,093,497,375,316,709,148,732,447,224,302,587,300,579,430,
588,347,393,199,495,546,042,404,924,962,433,574,096,155,225,425,029,667,475,
147,106,949,483,793,954,377,205,510,258,789,407,887,676,692,172,423,429,859,
571,123,474,592,079,370,960,637,254,513,646,720,915,066,609,723,195,167,707,
363,495,611,150,550,454,568,321,042,819,187,878,867,144,774,039,454,451,240,
196,090,146,570,822,388,142,309,954,795,202,159,995,197,192,937,036,753,130,
775,693,231,227,480,686,783,769,337,583,699,365,616,431,956,674,666,757,458,
533,269,500,960,429,516,919,934,933,515,159,726,727,585,354,144,903,126,305,
643,451,294,126,686,837,992,703,325,084,146,218,482,247,022,271,104,569,669,
190,284,595,207,597,544,598,928,295,857,457,381,920,369,371,496,534,965,035,
508,075,194,461,231,590,972,794,832,544,293,203,016,847,798,018,771,722,387,
132,299,467,647,493,781,733,592,354,789,877,073,885,968,628,842,624,100,163,
927,018,080,900,118,061,629,879,818,382,081,902,399,532,220,371,946,586,743,
598,300,670,218,216,166,701,299,019,281,790,673,263,599,783,364,228,505,000,
720,133,891,426,280,819,489,561,283,941,928,262,351,330,766,522,191,123,635,
043,596,953,298,121,303,845,127,180,537,901,017,412,721,693,206,657,513,300,
902,527,524,041,574,066,341,925,101,533,474,280,652,200,640,126,903,597,979,
542,797,078,983,011,535,562,937,440,795,708,401,648,881,460,934,580,524,421,
358,130,295,281,021,279,738,402,487,172,871,143,234,546,102,311,990,481,112,
705,077,910,203,923,651,737,552,958,261,288,051,700,784,682,517,669,436,978,
640,565,921,734,719,537,185,784,688,453,210,535,375,491,330,198,582,600,492,
583,716,193,011,722,262,270,802,609,685,674,235,162,668,609,662,873,047,393,
687,903,106,630,103,260,455,377,653,520,453,196,150,007,373,687,428,178,870,
034,370,852,200,493,921,427,648,754,959,794,337,684,246,956,730,367,073,822,
122,518,008,426,850,862,098,614,619,608,446,759,062,493,256,012,560,286,793,
286,183,681,892,891,989,881,746,773,923,568,103,672,003,596,250,233,757,763,
113,849,859,050,251,226,497,903,524,396,823,437,696,104,415,151,488,829,937,
472,850,531,372,643,061,368,433,027,101,501,658,036,427,702,254,296,052,365,
207,409,365,564,237,953,746,928,231,606,493,731,799,739,075,168,689,133,924,
762,636,860,965,047,774,301,140,404,305,100,267,307,111,900,215,643,501,398,
594,313,945,632,149,618,339,040,747,749,769,888,616,901,328,176,860,971,148,
565,574,559,398,068,802,486,243,805,081,926,529,877,772,179,884,842,579,776,
245,492,549,876,424,744,116,328,806,685,746,821,127,206,045,773,067,632,199,
016,974,422,940,545,229,406,044,430,051,907,903,568,155,850,296,081,395,271,
792,562,853,000,050,498,013,233,518,633,535,736,111,054,350,402,519,622,180,
896,250,995,166,358,965,138,158,505,884,457,671,650,090,116,343,687,737,067,
911,584,780,070,577,510,274,061,202,182,776,906,960,632,066,788,199,810,062,
139,355,917,737,722,413,183,996,435,214,697,891,718,209,879,646,125,092,210,
932,820,696,221,377,636,243,788,241,262,620,038,487,254,344,321,427,272,204,
752,768,683,756,282,927,871,094,621,331,659,879,748,636,229,743,317,115,369,
575,897,430,999,178,695,460,912,944,594,016,047,276,613,017,298,016,496,416,
397,581,515,987,382,764,985,802,711,104,374,611,692,944,821,778,669,095,102,
653,230,551,662,962,694,075,872,558,514,224,810,248,470,600,308,037,519,137,
287,720,762,395,263,420,336,026,702,839,187,989,939,963,047,080,563,815,269,
348,172,009,527,813,744,317,445,408,576,223,711,903,148,899,806,804,340,001,
304,658,940,698,899,269,672,654,007,241,239,572,899,087,799,041,592,258,919,
154,512,162,394,456,466,586,956,519,956,391,665,913,463,078,539,259,047,118,
276,710,031,563,046,753,390,787,428,727,914,492,949,705,474,889,039,354,656,
340,659,559,245,519,580,909,083,845,757,748,820,293,367,600,957,010,125,791,
075,298,873,718,055,327,791,781,262,479,485,464,770,381,910,910,320,878,487,
171,193,433,077,510,134,238,789,847,348,379,717,239,861,652,022,681,897,236,
887,698,981,823,079,580,097,799,999,864,076,351,294,798,554,820,226,270,775,
764,792,683,319,180,955,634,251,245,723,768,275,330,681,845,558,899,908,822,
032,401,096,651,474,683,072,853,987,403,712,541,536,582,347,706,903,287,624,
870,194,623,740,643,503,995,707,311,335,709,254,316,391,274,742,478,357,672,
492,881,166,613,268,095,430,142,203,248,574,748,908,278,938,591,232,023,539,
259,241,789,920,043,039,804,127,025,213,995,347,228,021,824,598,937,753,421,
986,020,596,341,658,429,037,237,008,608,967,090,293,810,067,224,568,166,951,
963,534,113,458,801,770,137,081,897,910,321,094,374,292,227,742,076,833,575,
704,034,610,893,974,560,722,035,669,920,419,314,725,009,198,279,241,017,097,
737,407,806,310,363,529,694,075,335,012,616,718,508,602,006,765,449,132,205,
725,329,732,789,518,662,377,130,753,838,184,007,166,629,292,853,862,055,357,
002,084,070,995,286,174,052,369,883,527,956,624,981,182,257,937,330,990,528,
687,785,701,854,799,116,070,314,274,699,046,236,913,775,697,901,583,385,743,
127,624,386,099,358,461,811,996,535,376,071,100,911,337,653,317,486,259,150,
374,302,838,542,520,427,847,243,914,940,135,857,396,504,861,538,541,632,819,
944,005,034,531,105,519,741,403,593,640,858,673,122,094,495,473,634,801,248,
175,734,094,222,913,009,309,325,074,629,728,059,712,303,929,108,363,724,561,
507,758,647,579,006,230,123,532,206,536,312,803,767,447,967,486,454,259,032,
173,454,256,757,613,287,314,909,489,135,435,703,988,263,349,309,481,557,828,
608,937,466,500,756,383,102,759,966,699,508,659,585,467,402,387,844,599,994,
670,577,720,547,244,369,359,959,498,661,730,866,912,423,433,059,396,679,177,
092,731,593,130,018,585,283,744,898,049,145,756,705,138,455,962,680,587,363,
077,765,041,745,270,295,906,353,084,763,714,709,569,108,003,596,510,939,155,
421,141,782,581,982,912,505,346,325,133,516,747,331,914,994,355,227,670,579,
046,850,747,350,407,322,184,511,101,104,811,044,328,149,304,539,769,551,674,
153,705,110,664,592,018,236,778,987,437,018,054,871,333,326,950,167,445,109,
332,905,769,481,943,916,901,360,424,781,722,183,101,020,891,431,363,529,843,
909,226,920,795,967,730,358,764,049,084,056,261,636,249,576,212,779,013,632,
700,444,386,719,612,352,548,916,123,950,394,182,345,744,861,263,360,838,674,
129,215,025,624,417,704,618,727,774,793,725,439,051,893,336,505,296,343,693,
566,149,500,506,938,423,840,033,578,387,793,129,237,799,892,528,117,182,804,
121,002,552,624,752,784,804,572,910,745,741,555,371,725,814,950,022,814,958,
950,465,022,602,946,891,776,887,668,823,751,240,796,666,718,719,598,928,311,
144,745,855,070,778,790,563,395,498,456,205,566,806,573,757,937,600,587,368,
418,106,534,801,992,493,624,665,402,482,109,508,962,535,612,282,929,120,217,
881,318,374,089,132,557,694,565,039,041,858,538,747,279,138,214,445,589,486,
679,432,790,164,031,540,691,976,557,021,573,192,440,786,976,787,477,555,310,
503,686,838,337,035,686,101,225,843,502,650,203,990,583,980,260,517,734,635,
638,742,866,477,764,517,600,640,291,160,324,074,500,090,799,478,328,812,595,
593,242,882,014,456,839,474,386,338,070,595,541,196,704,823,963,426,390,677,
821,429,841,654,335,670,805,177,874,482,381,078,017,392,666,565,390,986,966,
288,761,391,471,782,958,198,727,788,872,559,433,435,491,623,275,500,588,395,
342,033,922,214,716,842,920,244,807,367,247,286,251,100,643,749,317,743,210,
081,916,584,738,749,918,411,063,112,881,543,203,881,172,114,853,518,612,466,
389,563,882,685,982,825,807,310,845,868,729,371,258,346,669,180,580,951,629,
956,809,180,379,676,824,702,798,822,873,079,253,731,627,362,219,416,896,948,
958,895,098,883,992,026,052,666,849,908,221,855,721,267,704,913,667,215,101,
503,552,317,088,621,021,979,823,604,516,120,520,420,490,327,271,147,526,672,
441,339,469,701,136,851,341,902,492,330,809,680,836,055,712,254,070,940,628,
938,775,649,791,621,875,045,802,675,511,691,097,809,021,341,013,936,995,657,
515,139,594,058,220,646,035,301,844,548,639,564,833,066,525,295,242,380,291,
746,752,670,336,929,712,839,443,151,328,309,326,707,890,064,483,315,967,099,
654,262,657,125,828,299,090,067,521,796,922,061,430,037,822,985,817,299,800,
113,303,288,148,760,763,790,947,042,245,932,925,885,048,608,047,953,167,742,
760,986,027,991,828,729,318,433,013,908,009,444,062,223,671,279,291,988,728,
337,337,398,763,508,098,768,788,625,011,341,994,429,727,455,206,822,003,082,
659,374,659,011,687,159,808,021,542,154,289,032,434,702,446,620,272,785,040,
314,311,505,176,462,957,781,541,704,015,275,050,562,849,039,248,040,339,849,
169,701,544,689,044,815,842,755,248,631,250,141,429,898,006,486,496,277,113,
722,895,839,714,527,406,628,609,231,750,121,538,652,814,062,343,320,453,749,
288,198,207,752,834,763,258,618,788,300,333,978,456,900,070,005,499,344,458,
820,048,350,637,095,889,213,470,362,662,206,409,496,073,305,366,065,193,022,
770,502,087,808,479,746,973,407,718,571,009,217,854,799,254,021,529,308,420,
199,054,425,536,849,109,546,878,688,259,087,900,378,630,634,044,967,393,382,
221,135,676,328,781,157,961,226,991,227,945,170,323,977,682,260,877,506,532,
844,893,299,876,720,371,703,796,322,434,948,043,033,928,759,562,380,945,125,
224,399,117,455,851,953,357,062,955,597,226,202,413,115,065,368,070,314,882,
416,590,310,744,884,775,990,626,665,970,871,127,590,390,178,594,929,373,975,
437,931,158,026,031,908,539,198,219,121,420,481,090,005,150,346,687,024,755,
107,985,215,406,670,248,573,958,560,319,603,380,719,387,011,581,867,216,979,
982,192,438,931,713,193,731,327,874,400,412,052,628,084,162,524,042,227,342,
834,072,746,968,712,666,611,466,365,376,261,237,624,290,444,929,111,748,291,
785,461,390,493,536,808,892,349,737,894,836,767,326,408,661,514,023,247,533,
022,769,975,223,757,361,873,098,833,009,867,523,665,973,782,022,747,397,669,
531,311,227,968,099,833,055,913,074,942,588,828,050,763,275,079,715,774,833,
389,122,776,761,844,368,734,214,725,218,877,245,861,789,025,879,101,796,559,
052,255,425,365,027,688,251,311,773,477,856,053,665,375,070,776,678,220,741,
607,943,742,190,988,917,242,804,529,316,714,498,418,275,823,669,907,248,558,
719,500,059,689,969,188,086,978,606,517,233,655,743,317,746,957,966,511,900,
150,487,012,568,798,646,800,431,191,675,490,535,632,150,124,160,877,806,341,
262,741,122,112,479,095,925,009,319,593,792,171,683,362,825,071,155,416,220,
600,854,503,133,005,935,956,326,758,770,673,690,156,257,605,889,515,747,417,
442,927,407,300,068,665,192,263,357,016,080,070,698,756,076,969,086,991,134,
320,942,023,472,617,514,321,165,918,473,295,696,235,692,215,143,539,278,270,
304,499,174,219,411,024,310,692,058,073,524,864,003,045,495,413,679,499,287,
642,612,120,173,034,387,036,427,015,334,073,318,147,233,551,841,995,247,134,
797,687,157,833,339,180,496,377,055,504,193,220,155,599,363,067,959,501,703,
771,221,967,605,709,733,434,455,665,516,537,262,732,380,280,553,325,317,188,
478,141,308,531,770,734,976,721,222,000,184,563,731,007,143,147,963,130,964,
098,008,357,461,747,626,279,931,143,741,465,497,652,287,050,252,415,047,019,
978,089,654,225,856,863,265,969,941,287,816,628,739,289,052,791,681,643,521,
049,921,149,701,775,887,709,079,967,694,586,773,715,269,234,798,484,416,031,
148,974,089,453,122,440,976,991,255,336,812,980,983,958,618,727,522,843,922,
546,431,211,733,334,118,594,635,328,473,604,631,322,077,785,866,472,801,276,
588,001,716,421,478,864,653,452,064,765,733,351,310,828,745,590,060,612,781,
090,126,549,120,127,957,545,866,643,593,581,199,150,400,112,211,938,763,804,
065,499,029,414,161,389,770,326,910,316,777,899,110,831,272,233,508,648,670,
236,483,165,713,881,092,300,080,253,373,562,311,458,666,250,260,918,859,330,
094,200,765,224,567,909,006,245,449,180,882,869,230,449,992,965,845,144,015,
562,350,963,131,839,874,948,942,638,205,174,554,372,841,604,436,886,902,196,
372,970,818,772,885,100,223,904,230,398,426,856,006,378,031,587,323,932,260,
981,459,366,661,043,901,094,894,039,447,414,953,602,484,532,921,497,728,687,
004,668,073,065,053,547,488,470,574,430,084,054,486,628,564,387,259,853,332,
318,131,306,504,336,628,777,394,285,336,867,184,969,213,474,926,484,837,284,
544,186,236,058,385,711,050,029,482,378,414,720,966,153,888,986,093,325,405,
194,468,291,364,653,191,378,009,404,104,851,006,683,552,875,453,093,646,437,
483,713,585,926,832,052,943,518,240,641,436,316,997,848,331,612,298,260,673,
205,528,044,418,281,574,035,662,731,068,800,052,827,209,663,639,647,427,258,
814,740,401,702,062,254,529,108,445,176,141,391,395,610,875,903,599,838,270,
185,748,783,012,804,330,523,723,156,698,538,406,234,661,249,530,811,028,489,
873,984,009,765,246,696,833,606,340,529,962,238,702,036,717,349,230,185,942,
033,961,993,857,259,337,751,321,657,785,105,562,078,779,857,462,443,884,488,
038,584,652,643,950,232,078,258,624,010,422,028,160,793,805,013,895,849,157,
276,534,639,050,263,040,156,450,191,024,803,966,721,380,695,684,521,698,692,
408,474,818,101,767,348,660,018,955,665,359,137,722,954,219,846,478,516,279,
843,766,599,395,822,729,108,147,943,841,003,307,534,250,596,104,411,998,491,
026,403,481,216,881,091,263,113,322,439,263,957,103,405,760,627,731,508,712,
772,298,207,173,081,963,111,156,346,825,910,899,100,191,663,215,945,571,925,
337,572,345,763,106,364,149,433,449,080,446,819,125,959,288,770,412,356,422,
665,020,898,135,240,848,808,024,811,120,923,966,747,496,811,878,844,478,313,
715,597,825,230,652,818,476,881,833,689,678,189,697,543,604,985,867,964,618,
136,623,534,149,195,013,698,595,453,065,692,698,943,249,072,510,970,903,268,
709,642,023,687,041,531,778,395,693,884,775,138,552,009,507,693,201,711,887,
065,030,592,226,563,069,865,091,518,230,477,805,669,915,859,203,352,600,526,
204,725,633,541,884,081,679,976,358,494,184,335,776,031,979,015,708,691,063,
873,247,549,894,640,848,938,508,180,365,954,715,743,002,253,003,308,431,419,
556,999,907,031,166,882,124,030,720,627,637,405,610,763,433,227,095,044,845,
511,935,622,953,670,788,676,329,387,138,810,913,574,213,883,127,751,173,871,
876,062,735,263,717,198,320,833,374,229,218,701,534,664,514,981,265,238,473,
860,512,313,932,593,064,815,598,244,510,770,502,628,766,177,687,101,104,695,
483,671,812,384,698,835,343,307,681,696,125,822,531,170,449,980,148,270,909,
554,156,293,182,984,187,040,680,016,156,904,845,678,098,431,493,699,947,223,
848,612,315,397,290,883,217,471,589,770,308,352,263,286,389,960,458,486,031,
287,516,395,894,321,980,643,537,425,895,972,630,287,138,875,418,743,330,556,
685,663,131,206,763,149,564,397,017,373,004,349,563,556,118,641,904,315,746,
148,276,472,600,166,816,237,803,195,458,155,201,916,536,171,870,072,988,007,
380,124,461,196,557,448,649,642,515,020,194,681,418,426,491,035,229,940,686,
619,845,596,914,091,048,359,739,995,324,615,187,527,494,545,450,626,690,104,
815,673,861,294,079,274,473,019,643,139,138,925,195,279,801,334,724,971,640,
557,850,121,678,678,173,630,319,340,585,390,580,718,228,431,107,726,277,677,
061,804,738,781,603,619,649,614,865,257,436,731,941,257,439,951,704,755,193,
856,076,222,693,486,124,927,944,895,852,832,580,081,759,211,874,968,805,371,
588,335,870,932,988,731,112,719,866,807,391,456,757,484,537,039,233,422,701,
038,363,306,783,708,528,463,721,757,609,988,851,952,273,395,624,772,751,637,
685,978,736,422,091,350,862,712,074,378,420,587,688,546,688,964,308,465,454,
925,480,705,235,875,293,704,546,152,245,990,943,428,039,133,708,775,611,414,
752,711,339,718,830,764,474,427,580,319,003,641,069,959,407,809,612,728,695,
829,182,510,103,399,118,122,469,362,855,465,963,117,628,702,160,472,107,678,
382,448,174,136,187,354,669,424,596,259,088,077,748,336,597,379,996,227,478,
331,716,684,742,488,360,705,882,308,300,799,795,086,215,634,530,655,934,643,
261,526,538,900,533,315,969,948,273,610,277,058,081,569,756,110,142,172,565,
138,554,268,294,740,644,818,621,353,246,705,303,727,003,827,748,720,798,962,
506,406,082,778,396,755,265,388,729,766,473,289,921,535,351,964,979,443,284,
934,761,996,226,313,086,577,548,375,487,626,115,114,535,758,218,365,336,014,
878,392,418,325,854,413,083,793,297,903,239,429,801,034,924,888,810,981,147,
871,599,513,191,156,962,646,322,788,564,612,822,165,871,680,126,032,598,776,
561,497,276,004,392,583,313,600,215,710,408,348,763,247,564,309,729,531,747,
695,792,659,533,725,784,630,653,391,605,417,130,565,549,855,348,156,398,737,
940,353,290,907,893,264,843,420,673,011,716,924,311,305,212,209,554,855,160,
204,942,336,143,274,678,699,670,693,195,950,235,473,120,413,981,078,085,403,
996,429,015,948,392,824,723,641,706,467,056,922,170,621,985,346,697,573,470,
162,027,857,763,092,903,018,000,450,050,543,584,008,650,467,089,445,258,610,
178,586,261,954,396,346,346,447,416,655,079,202,898,680,845,360,049,044,594,
842,211,994,752,567,728,591,394,696,083,125,996,882,195,273,992,610,957,483,
611,881,463,143,045,564,763,677,473,252,020,060,287,737,586,023,149,488,869,
912,275,186,786,728,100,721,214,490,104,017,801,674,266,796,504,506,230,848,
515,589,546,090,450,469,986,943,176,978,420,322,604,584,662,338,246,656,029,
338,122,375,164,936,539,586,025,621,810,013,950,389,586,268,727,834,944,396,
210,148,169,205,131,222,965,597,248,293,345,163,957,531,612,973,830,906,509,
284,097,632,070,289,998,316,548,155,424,217,472,112,440,531,018,892,913,352,
566,314,868,122,068,873,648,987,760,842,472,410,562,100,732,611,156,935,990,
612,901,325,355,230,271,503,801,950,214,177,526,713,507,793,531,155,445,377,
505,522,093,695,075,934,169,233,813,268,758,948,290,696,098,521,674,751,291,
289,556,782,997,239,186,576,366,215,712,354,483,110,550,890,506,852,815,354,
250,809,447,501,044,339,266,857,635,654,094,843,165,189,822,267,451,544,327,
988,686,388,451,492,544,002,361,668,039,948,048,777,071,484,045,403,169,261,
612,648,847,916,689,104,495,120,993,277,029,468,606,487,480,607,126,736,302,
134,253,320,590,405,071,123,264,368,180,965,929,011,194,180,857,543,497,854,
813,052,130,889,285,909,199,799,315,911,544,209,430,277,223,578,354,159,303,
977,987,935,547,971,287,239,193,252,853,891,802,748,980,508,100,935,807,077,
508,036,309,496,061,545,155,472,265,297,005,508,998,323,478,914,426,265,203,
633,212,502,270,560,614,914,752,225,394,992,843,827,955,756,629,803,861,069,
242,739,945,919,352,089,374,655,911,533,412,790,088,438,773,917,942,952,031,
756,591,591,478,621,398,259,964,096,130,655,505,045,277,591,140,956,251,040,
002,498,961,059,607,860,576,972,945,034,377,667,119,966,155,003,274,087,128,
796,103,119,378,575,203,797,898,473,715,945,896,469,403,817,871,829,220,118,
933,022,544,658,832,320,067,282,881,520,823,772,481,428,489,027,490,308,563,
585,026,466,027,289,388,270,084,545,670,652,366,350,436,842,903,951,572,362,
389,589,916,863,473,328,838,865,437,562,148,173,834,473,704,858,294,060,485,
985,646,010,153,775,614,214,821,903,867,952,691,256,923,238,213,411,683,581,
799,085,848,008,700,934,625,112,116,558,879,552,428,676,386,940,931,230,338,
460,332,044,454,464,611,511,675,882,669,831,175,519,720,296,121,998,905,994,
951,595,783,392,828,211,369,555,744,974,818,835,332,432,167,803,325,748,487,
013,968,274,190,989,129,424,871,769,565,336,896,671,420,234,750,468,962,045,
326,655,501,225,626,716,569,448,526,154,806,552,275,558,445,181,386,334,291,
143,856,915,412,413,652,840,191,261,164,764,929,178,819,329,581,895,157,843,
798,965,989,648,609,453,555,431,655,424,418,479,853,006,461,552,604,988,550,
665,790,273,054,938,844,556,521,308,738,237,042,852,932,999,318,487,034,011,
304,957,804,426,229,577,015,762,145,681,202,575,727,785,826,237,004,101,822,
744,778,323,358,317,380,153,360,208,100,742,924,893,424,403,133,250,630,532,
260,632,565,703,260,042,762,963,515,650,264,082,033,112,759,749,166,973,632,
326,658,761,129,370,101,211,798,666,775,080,035,301,063,234,552,942,692,202,
331,463,032,596,646,110,914,003,385,613,241,972,640,710,578,950,373,229,881,
811,842,170,908,602,036,210,119,523,069,934,886,664,550,758,699,497,664,771,
534,083,748,056,760,063,496,234,130,710,061,788,243,967,400,282,420,191,065,
935,072,059,998,088,667,415,318,526,724,030,708,031,461,870,596,894,912,011,
954,041,945,896,759,233,565,957,314,975,053,184,728,326,101,524,188,228,217,
177,851,303,928,295,518,294,916,228,086,431,360,573,574,316,631,974,950,505,
341,431,629,543,627,431,580,238,208,954,960,971,976,693,569,363,325,032,097,
821,911,375,388,437,904,788,146,746,745,033,827,529,959,111,160,154,598,609,
340,489,574,714,159,858,394,801,150,092,789,428,555,663,357,275,064,066,168,
416,186,080,241,098,822,225,988,728,575,659,153,997,841,750,358,691,218,233,
927,828,955,193,219,238,893,212,630,622,878,590,809,272,516,407,375,768,783,
684,391,409,170,861,904,875,009,176,975,065,757,716,378,273,823,671,190,773,
833,192,746,762,148,245,025,662,253,897,630,724,569,575,700,358,880,930,051,
796,992,599,510,185,627,506,499,812,154,846,569,306,891,138,178,037,427,423,
546,269,562,824,823,856,279,381,691,953,940,016,275,029,287,066,667,250,200,
322,582,263,032,702,970,785,428,553,112,018,032,708,801,446,359,033,628,154,
699,485,480,307,772,703,010,843,109,690,980,655,747,292,945,423,749,227,359,
547,860,837,571,059,046,001,335,933,083,259,248,760,242,276,010,244,606,784,
638,402,124,637,573,793,192,558,621,043,582,098,692,576,233,905,203,127,189,
278,959,504,367,438,495,308,708,537,151,142,129,012,627,931,078,600,515,996,
541,238,437,200,692,357,187,199,275,271,006,003,471,999,357,926,368,562,139,
074,926,395,958,519,684,775,749,198,797,617,027,802,073,862,288,425,075,794,
853,657,982,632,553,303,876,699,962,858,628,405,865,976,690,022,875,236,421,
358,441,534,629,552,274,459,479,138,602,735,860,571,035,279,594,401,761,990,
309,663,588,276,684,648,191,773,690,365,332,262,878,215,962,437,610,525,390,
823,460,843,590,562,047,114,597,054,505,654,321,307,988,271,619,073,862,570,
518,939,190,270,476,548,789,950,226,975,697,405,020,131,328,529,146,545,495,
750,961,999,812,533,547,382,938,769,530,726,506,575,260,138,664,720,043,432,
574,883,567,399,466,024,330,150,579,944,167,596,497,356,425,088,941,767,869,
196,227,898,564,973,906,280,350,610,746,733,204,371,420,034,226,931,205,295,
696,271,446,317,086,383,981,364,092,862,447,248,810,051,612,015,518,250,708,
629,455,600,724,417,517,407,611,030,087,258,108,457,660,746,510,295,179,504,
167,006,496,534,791,912,721,023,574,762,867,528,630,819,811,595,609,729,649,
810,162,411,019,781,402,681,448,361,778,576,143,040,749,236,369,934,355,629,
684,198,172,430,847,832,129,971,429,332,759,909,459,556,584,898,838,033,230,
429,361,373,946,991,801,170,198,849,269,993,007,513,971,383,156,354,389,091,
370,740,878,406,706,869,452,451,638,210,724,452,887,588,965,365,416,117,878,
660,745,383,900,287,949,712,332,715,190,865,053,427,059,700,973,091,273,934,
307,669,952,398,025,422,169,808,243,033,800,179,238,771,879,209,111,517,553,
186,700,121,836,744,207,339,119,855,784,778,916,640,441,951,864,467,495,699,
196,128,301,362,247,361,908,147,001,019,926,427,298,309,154,128,054,866,739,
462,144,212,679,778,411,715,028,399,682,098,944,409,066,989,366,256,387,226,
326,756,807,723,226,444,125,212,812,536,217,289,146,437,195,546,119,987,128,
811,448,226,398,428,549,877,024,697,505,208,076,760,029,292,449,821,318,318,
613,215,873,787,068,960,845,791,563,833,884,362,203,753,645,010,419,049,850,
234,695,407,893,337,243,612,914,833,752,089,446,086,041,765,384,438,240,081,
646,254,635,017,530,923,085,575,121,588,860,441,551,429,963,652,042,707,759,
471,048,245,527,631,658,966,635,531,711,813,975,953,936,735,027,344,461,439,
156,884,700,269,248,101,015,090,423,418,230,252,261,292,434,523,358,612,431,
691,780,211,774,582,279,358,113,465,793,168,232,175,184,623,911,445,935,119,
152,603,662,245,742,050,568,882,526,909,359,182,717,266,410,707,145,607,401,
414,139,698,260,676,080,016,173,636,692,479,303,330,676,088,075,073,717,338,
274,659,970,892,209,650,742,914,459,774,584,651,627,097,063,442,213,033,252,
620,382,994,091,748,080,604,632,540,115,452,461,293,949,638,220,838,151,822,
732,225,790,326,947,026,308,910,067,664,970,892,099,737,129,761,823,500,530,
195,898,881,533,453,396,565,854,012,303,670,120,716,503,021,412,269,437,199,
893,806,870,519,870,636,953,001,609,498,402,991,406,131,439,684,630,847,879,
483,658,670,736,943,421,417,368,028,818,579,312,485,887,383,699,890,505,394,
203,688,722,320,318,000,716,913,359,550,173,357,885,350,131,518,251,108,301,
094,125,838,882,775,410,787,415,482,716,362,744,842,452,919,312,695,729,155,
359,983,197,456,775,975,982,980,418,413,920,715,835,280,719,170,547,760,575,
150,305,287,833,490,146,878,974,694,244,159,603,603,065,058,053,727,164,799,
133,688,309,510,585,123,873,261,562,535,961,185,324,061,539,182,328,933,993,
870,284,754,644,858,066,041,839,861,456,152,048,024,562,368,636,797,687,142,
624,036,432,739,625,783,184,494,703,732,599,767,141,610,911,462,545,093,945,
037,457,995,511,582,476,135,868,928,534,942,768,618,470,502,767,481,617,304,
431,299,790,977,501,108,034,946,828,407,710,499,227,919,999,095,614,859,700,
582,900,183,745,623,030,994,126,733,157,473,567,384,426,995,100,336,089,982,
094,377,797,311,704,643,010,304,688,254,631,219,408,590,644,064,136,992,719,
213,823,011,848,090,656,342,745,748,029,625,561,579,166,915,230,925,252,148,
104,359,889,672,367,399,789,629,769,107,524,559,127,667,399,043,030,176,739,
833,453,393,639,449,335,616,860,659,836,237,540,675,731,442,757,631,120,923,
177,700,478,587,297,988,644,199,027,307,980,905,544,327,165,446,387,096,717,
029,791,318,901,723,331,394,146,793,315,285,604,328,160,210,573,133,751,596,
699,986,397,661,646,249,303,036,389,624,937,718,404,750,348,621,438,873,368,
609,456,492,008,326,429,318,119,672,279,486,007,135,701,411,242,694,402,916,
776,159,566,004,391,059,570,737,143,873,892,931,728,175,374,893,080,583,738,
017,958,075,381,861,952,079,892,618,769,513,077,425,727,223,139,928,898,570,
149,832,073,409,152,167,276,201,523,970,595,011,057,924,870,154,768,453,246,
576,272,507,248,644,557,852,529,099,784,843,429,645,466,284,026,025,286,527,
073,346,241,737,921,808,635,402,226,999,313,274,618,672,906,899,069,368,681,
006,754,146,669,201,270,342,261,099,733,157,779,904,151,744,977,398,630,631,
417,950,375,128,596,737,600,851,851,045,129,678,113,534,515,106,112,403,483,
668,427,718,270,588,976,931,651,664,857,216,608,098,230,013,177,014,813,162,
780,879,464,038,263,826,631,812,660,256,002,594,230,801,012,622,198,785,661,
170,271,379,192,485,856,611,501,330,828,453,973,628,216,610,526,651,002,855,
876,644,418,796,359,604,103,659,433,526,735,563,198,178,764,648,222,715,762,
551,936,911,000,361,418,987,358,772,368,827,208,615,535,825,774,946,082,031,
056,385,078,235,064,111,891,783,570,859,713,275,409,027,991,245,359,114,673,
589,862,864,090,279,783,274,305,260,201,709,067,787,241,601,692,512,136,600,
933,189,192,756,095,665,203,036,689,999,887,572,010,316,915,212,973,201,453,
809,523,483,260,289,928,030,734,244,175,993,027,847,401,282,485,359,607,144,
794,662,052,226,006,266,193,885,275,189,678,710,991,185,140,617,251,814,823,
167,006,104,738,641,451,423,428,560,173,544,716,763,550,763,112,904,896,354,
862,966,395,190,566,901,749,680,809,738,534,059,516,633,382,247,495,993,889,
983,348,036,277,266,294,764,624,955,560,471,176,663,167,994,008,453,995,141,
594,918,764,581,546,453,028,460,544,175,445,238,786,813,699,753,707,969,926,
304,911,861,423,747,469,780,743,030,899,536,944,964,234,698,425,404,390,299,
397,265,631,671,957,076,709,574,087,940,095,317,638,331,834,212,543,914,358,
400,875,695,398,822,802,302,307,651,073,329,506,209,312,101,759,268,273,209,
854,100,349,978,937,053,083,295,876,854,174,024,630,110,143,642,802,322,659,
523,278,227,165,018,383,329,137,760,867,021,713,576,476,473,697,133,423,588,
168,384,781,728,854,070,397,835,958,040,948,384,400,659,228,575,192,271,785,
994,270,104,923,357,608,689,021,593,521,162,112,348,200,654,402,536,378,244,
689,147,603,401,653,049,434,585,017,191,839,850,660,065,772,083,856,799,822,
535,085,635,136,116,523,529,360,480,502,394,120,699,437,197,431,386,280,678,
473,870,257,657,505,757,458,273,928,721,056,735,709,721,776,904,690,854,329,
904,203,527,951,409,699,590,887,997,059,157,725,951,162,855,482,102,313,952,
120,158,967,843,945,296,270,259,217,649,881,346,421,213,858,119,649,036,350,
622,894,108,339,399,350,385,496,040,515,610,906,603,747,854,766,585,229,515,
644,157,633,722,477,085,856,013,992,250,341,707,594,461,919,372,457,328,815,
260,022,027,532,222,066,346,147,372,181,325,195,734,256,607,473,700,268,742,
118,932,128,887,501,942,985,236,843,587,809,932,406,454,152,816,506,209,843,
658,272,330,105,223,391,686,879,223,371,784,070,803,216,429,050,851,232,908,
375,873,018,209,936,153,185,897,984,360,753,026,174,807,766,346,715,366,373,
995,144,161,319,350,480,671,676,779,603,156,160,297,492,347,791,354,349,638,
377,409,203,521,040,094,224,441,043,324,765,543,564,295,923,279,562,084,596,
091,650,569,382,754,336,225,923,495,068,732,600,314,099,979,894,024,819,548,
070,912,847,620,311,317,465,896,197,280,170,224,821,162,178,795,863,297,366,
132,093,546,964,189,162,906,676,495,979,666,100,869,047,953,987,305,965,533,
433,881,406,151,152,785,975,717,647,598,361,854,702,789,385,997,038,931,373,
705,038,229,203,454,437,387,684,786,392,588,327,155,604,404,783,858,599,211,
433,849,142,062,574,039,786,717,768,597,033,491,047,547,530,498,913,973,130,
909,586,969,464,029,580,556,817,317,017,323,276,073,831,497,523,177,506,128,
010,189,473,815,364,567,667,688,379,128,670,263,580,333,095,426,173,218,201,
065,461,753,004,643,550,099,308,371,448,979,622,704,784,146,431,503,554,436,
245,439,958,971,603,516,227,573,184,397,383,794,518,498,902,024,207,527,739,
333,661,395,272,604,370,171,168,889,236,905,839,502,659,130,893,771,346,605,
259,597,063,729,704,641,129,948,108,150,531,491,608,543,729,039,965,679,653,
876,604,108,553,894,554,621,686,709,103,984,801,179,357,739,854,774,020,257,
569,679,354,689,121,888,209,435,131,560,792,474,438,361,549,100,293,056,227,
584,826,385,610,636,074,753,487,261,852,664,013,581,413,383,343,121,091,233,
999,022,737,066,799,214,720,552,766,629,155,554,862,635,508,123,144,998,788,
058,583,076,294,840,290,928,790,318,860,445,635,052,835,506,807,590,392,912,
805,431,437,242,420,427,500,101,518,749,684,244,572,937,880,813,233,609,024,
781,618,795,950,369,208,394,607,326,714,189,310,035,029,994,518,630,564,076,
658,046,977,044,782,741,251,028,669,403,193,719,691,766,960,779,760,591,269,
589,773,203,594,922,327,097,366,904,515,839,948,822,803,450,289,783,058,441,
347,069,553,700,806,637,824,874,268,685,986,545,208,617,196,691,812,239,806,
398,269,288,172,452,157,034,674,979,387,065,050,376,326,988,878,182,046,198,
827,854,477,480,057,369,740,336,328,547,793,262,709,323,693,345,974,650,784,
978,511,932,876,474,224,550,666,375,318,492,952,762,111,711,656,962,800,932,
696,723,532,638,151,732,975,605,539,090,957,286,247,830,071,016,993,272,435,
067,274,863,004,529,068,763,088,631,497,955,059,593,899,254,610,541,222,715,
488,205,482,415,974,698,456,925,492,651,711,446,670,030,995,875,228,283,430,
664,038,965,212,456,710,620,559,789,558,305,041,129,447,302,429,669,977,782,
399,543,885,384,554,748,769,245,004,730,622,913,379,188,660,956,981,022,550,
697,043,292,463,745,449,697,196,422,555,992,601,062,156,755,059,146,180,968,
255,521,288,140,927,823,729,901,156,219,355,074,907,028,605,760,758,151,641,
585,686,731,702,892,912,046,933,845,030,711,411,936,285,110,120,288,584,461,
293,790,662,984,462,024,914,432,634,699,003,083,544,015,392,602,635,805,137,
627,577,699,421,090,616,783,170,017,592,360,051,493,171,616,408,803,523,505,
512,459,963,837,864,982,338,711,605,203,448,420,729,538,069,124,626,465,902,
262,132,973,276,331,433,526,085,391,906,795,356,528,509,173,128,672,848,886,
123,268,487,346,444,372,489,383,490,893,134,018,885,314,209,547,436,398,289,
494,304,812,807,330,967,975,584,312,025,210,453,841,647,448,931,555,611,006,
835,882,166,477,376,096,705,359,627,492,487,832,348,337,104,026,246,071,659,
538,865,478,100,830,662,358,369,862,533,608,378,379,529,093,947,854,932,453,
923,634,670,001,509,853,780,294,731,644,975,879,320,870,476,547,701,400,277,
834,518,824,851,493,806,781,889,878,767,368,373,109,286,066,083,520,704,553,
270,335,788,688,296,909,491,825,688,416,658,693,447,474,022,812,334,734,537,
145,441,645,227,692,776,267,053,247,347,582,940,448,611,308,665,343,042,236,
417,219,070,514,247,341,227,273,338,452,510,218,309,185,869,443,358,602,343,
170,602,646,846,825,803,957,289,989,894,155,255,231,737,512,641,213,395,013,
130,034,231,439,165,623,683,372,300,829,537,613,296,034,581,541,940,762,875,
598,945,959,628,823,484,349,250,616,965,405,150,566,693,898,294,410,887,620,
382,940,607,046,538,555,588,123,502,576,200,304,620,374,622,831,603,629,485,
549,855,031,644,985,833,666,626,046,792,616,494,585,715,580,896,266,475,749,
405,483,706,104,420,456,880,785,480,726,296,656,747,101,082,030,290,014,899,
271,747,059,213,469,524,839,386,450,193,525,510,192,959,454,476,293,871,633,
030,158,918,677,882,588,804,938,998,186,834,974,690,587,885,586,297,000,047,
494,806,697,967,048,648,189,746,627,067,797,776,575,127,039,487,664,808,709,
349,374,947,469,001,501,416,546,126,380,052,855,450,219,099,703,451,060,720,
399,230,565,417,617,791,281,482,144,992,353,848,454,079,938,856,814,707,615,
553,432,685,968,042,792,780,707,111,796,337,591,706,360,847,087,944,734,632,
584,283,836,335,574,102,839,511,419,542,634,676,899,775,063,622,328,815,344,
678,851,013,898,446,975,800,754,385,950,232,100,623,483,319,203,149,863,253,
758,592,560,306,765,912,163,724,179,846,259,044,589,903,079,947,594,113,040,
897,542,233,987,074,562,502,827,275,505,766,748,501,179,714,489,509,887,771,
482,454,250,675,638,231,472,311,437,025,048,726,457,102,688,776,938,912,700,
415,241,358,879,442,614,119,146,344,752,484,289,203,503,607,318,209,807,938,
333,923,517,695,775,414,125,105,650,273,255,083,739,210,510,797,417,887,481,
725,885,451,499,082,040,489,655,139,624,382,869,935,361,283,176,136,738,032,
215,798,973,172,747,467,251,701,775,438,910,970,754,984,877,281,852,280,150,
292,080,579,255,245,952,705,590,533,264,298,158,067,933,577,716,740,859,072,
641,656,295,787,413,535,417,291,018,651,897,239,112,612,028,110,048,743,865,
263,943,137,688,142,465,176,974,538,145,860,016,233,072,714,017,441,373,827,
067,097,528,716,212,049,185,955,354,186,576,729,282,030,213,096,457,762,080,
894,959,718,062,658,522,017,109,383,057,795,340,421,388,124,438,596,319,672,
804,714,605,150,040,991,820,668,803,462,276,976,158,776,892,631,555,889,686,
587,067,703,206,352,376,455,387,244,672,678,364,470,501,349,209,990,815,069,
206,233,682,835,326,476,607,038,883,334,249,157,141,794,135,024,962,627,546,
844,665,586,188,972,908,088,598,853,462,715,346,528,558,504,614,736,838,774,
756,522,125,338,516,330,635,228,282,812,109,019,519,288,028,865,029,823,761,
224,828,675,638,852,016,532,948,957,165,900,694,377,126,223,427,711,730,575,
855,045,131,611,213,758,517,634,141,701,668,953,577,438,219,956,840,447,129,
870,826,936,810,918,858,106,461,189,517,131,595,904,132,287,629,102,746,860,
334,641,543,714,049,031,185,941,902,878,944,520,883,169,983,494,369,663,744,
049,441,296,826,248,102,045,921,378,121,824,799,915,905,891,642,878,043,809,
138,894,381,890,204,144,331,004,314,833,939,427,186,114,495,137,630,076,294,
367,220,578,502,386,023,526,600,254,788,864,301,450,025,967,795,611,555,288,
438,671,686,397,974,268,928,574,646,054,826,708,975,875,260,796,222,592,421,
381,569,247,984,329,127,175,433,609,063,613,251,004,038,497,484,328,605,590,
821,311,211,487,691,812,155,323,243,828,090,157,928,989,260,164,084,662,144,
504,560,914,885,522,334,840,565,715,791,138,702,829,652,044,609,979,816,803,
863,941,735,866,651,649,459,410,727,142,768,898,791,838,410,296,880,195,351,
171,532,221,555,457,406,278,427,063,678,266,979,331,794,331,814,320,720,345,
937,571,644,842,996,923,499,897,582,738,888,789,185,203,546,212,822,134,949,
256,245,419,291,157,038,081,364,153,054,960,738,674,744,054,258,992,596,614,
966,058,866,009,616,558,628,041,990,072,590,434,268,511,494,661,295,990,238,
398,070,266,887,552,878,786,167,234,515,273,318,712,054,014,460,251,271,070,
598,521,692,723,805,277,403,939,605,968,846,831,316,936,307,347,640,576,671,
270,785,815,644,914,131,402,963,419,375,665,483,241,441,672,669,139,753,868,
611,653,567,897,582,308,741,737,492,808,728,893,399,729,713,933,716,821,602,
171,068,936,838,037,490,971,312,561,791,182,166,854,240,814,837,709,612,332,
887,412,154,078,750,960,918,403,074,437,822,182,307,925,687,353,335,349,111,
924,044,627,052,470,244,186,309,421,147,742,208,197,007,109,316,122,485,175,
620,736,324,928,255,956,551,798,256,568,843,351,796,870,575,253,280,356,918,
953,201,198,010,291,942,660,422,794,873,472,462,553,942,246,220,715,695,114,
046,081,768,833,401,468,397,354,432,678,967,208,362,501,040,506,078,814,619,
532,361,731,940,957,945,736,748,133,389,320,909,417,605,576,237,623,628,144,
530,827,272,998,294,753,903,252,765,435,222,983,810,950,313,644,828,728,081,
394,534,827,068,949,292,188,711,897,097,175,099,289,798,323,787,527,955,913,
782,552,316,316,996,166,174,882,739,468,067,137,089,886,004,968,499,768,318,
463,439,622,266,577,914,665,728,503,429,818,208,831,230,902,715,315,531,151,
532,197,190,312,399,238,244,074,283,672,099,414,451,760,034,707,671,925,355,
795,299,101,541,403,085,614,164,810,396,798,970,905,899,054,077,187,983,527,
110,997,675,838,053,193,474,452,471,950,814,241,638,176,795,367,496,242,168,
543,296,244,530,673,736,875,571,124,252,945,059,606,673,762,476,005,107,980,
681,550,714,459,029,322,563,512,975,304,974,295,702,008,308,687,681,308,602,
264,782,148,117,983,006,590,117,830,914,387,391,716,073,329,344,973,297,434,
663,212,385,172,250,974,420,756,229,215,479,934,485,700,281,174,880,351,802,
082,412,649,790,030,257,959,619,083,836,944,846,380,654,553,006,285,718,866,
659,161,234,663,319,634,410,742,939,120,512,637,420,802,648,629,887,539,424,
197,345,648,233,713,006,559,700,200,450,504,944,220,424,573,068,274,326,743,
091,628,865,847,189,294,289,125,902,808,335,370,268,996,807,737,993,095,793,
584,997,459,982,860,771,289,697,275,909,522,703,202,426,438,184,967,095,148,
379,313,151,351,015,727,557,389,765,609,248,171,303,190,212,596,896,285,365,
672,131,111,766,368,941,845,736,221,481,909,167,525,815,777,627,827,162,769,
985,583,133,667,316,377,130,476,949,359,184,697,597,529,177,575,140,989,054,
482,599,974,742,867,347,594,591,612,724,486,052,994,290,906,861,786,749,521,
933,210,940,505,786,117,956,679,585,848,141,631,742,112,556,353,662,610,013,
066,404,207,420,728,542,017,124,249,723,158,532,049,386,538,172,964,735,088,
877,734,970,979,779,758,305,975,943,751,117,831,414,409,422,430,295,011,959,
880,658,802,861,721,206,812,290,457,743,222,547,417,033,795,436,373,195,228,
591,532,162,075,832,701,267,290,490,480,893,173,769,349,680,173,025,404,139,
999,336,242,299,501,117,487,770,780,268,668,851,838,163,540,544,906,767,107,
771,666,211,147,432,866,957,624,638,625,477,370,306,189,932,023,860,565,240,
077,089,528,109,494,222,873,587,112,424,254,118,794,894,235,229,992,945,042,
265,450,852,716,545,163,298,890,686,607,263,730,795,789,231,559,602,665,634,
663,869,916,199,342,002,400,459,168,079,879,663,056,057,143,480,060,657,594,
398,136,472,577,297,445,296,010,416,506,261,730,814,464,034,030,895,244,433,
120,273,807,902,699,521,189,668,644,936,616,555,042,810,866,828,323,429,464,
310,510,088,764,811,095,529,796,641,883,189,605,913,020,484,182,869,389,419,
534,867,380,589,338,076,907,926,368,223,908,970,618,533,023,087,781,035,326,
760,356,511,284,708,575,392,092,389,318,252,833,078,177,476,623,911,379,170,
444,067,548,487,694,776,766,640,472,019,961,533,070,770,569,288,815,958,927,
866,184,674,587,983,674,095,328,569,007,217,101,267,912,176,821,732,664,547,
410,651,051,222,692,136,915,129,967,300,954,447,358,205,840,839,658,917,982,
853,928,196,745,542,753,702,434,064,409,655,989,585,542,877,734,362,042,855,
152,451,637,587,244,559,348,902,025,060,693,529,895,651,697,996,342,023,687,
258,453,656,599,930,761,316,373,214,802,478,874,141,331,759,449,279,492,298,
425,189,769,160,481,313,374,019,197,444,624,286,137,930,015,938,047,451,320,
274,074,648,835,741,585,901,570,744,555,398,628,961,486,310,246,712,591,121,
488,327,329,385,300,743,541,366,326,454,851,187,633,951,959,513,930,724,184,
187,446,326,487,248,945,715,977,852,025,888,194,630,889,835,517,405,696,714,
768,807,662,172,443,376,681,449,877,097,589,732,522,407,050,460,003,366,899,
969,827,318,556,751,390,144,133,948,763,910,143,252,462,534,504,655,018,030,
931,927,604,669,664,461,805,185,420,221,923,650,061,355,079,249,207,412,427,
023,992,358,843,291,157,723,235,439,583,405,040,109,789,335,676,125,281,550,
424,027,314,412,362,325,022,952,529,673,472,301,081,584,141,311,463,256,599,
992,161,292,444,957,696,915,328,708,632,084,345,040,135,987,440,391,233,038,
474,278,389,935,130,312,299,409,944,215,910,926,987,838,413,083,032,299,983,
739,776,216,437,899,481,006,291,730,797,638,809,600,356,009,678,252,703,513,
155,927,622,515,567,478,748,992,029,584,712,816,487,070,903,080,353,244,933,
057,726,404,809,287,470,721,103,034,762,654,263,756,988,721,620,942,184,345,
922,153,272,061,878,794,711,212,225,186,734,790,986,009,987,965,719,702,162,
439,771,922,415,129,695,790,622,427,985,934,276,889,306,648,507,067,133,994,
364,816,625,920,533,005,157,286,943,959,170,477,520,964,098,459,879,642,906,
894,429,330,318,669,150,661,057,149,977,751,295,017,852,100,675,311,875,811,
999,737,639,235,246,266,746,562,824,828,600,734,798,404,222,989,467,323,418,
380,718,876,019,661,041,993,316,979,973,720,174,242,718,728,623,359,411,870,
995,988,205,078,593,393,558,586,117,747,172,133,556,563,605,305,977,738,069,
067,414,815,960,239,082,753,427,762,226,349,955,488,505,186,324,726,545,093,
185,915,802,120,738,179,063,842,250,851,615,530,668,263,068,516,950,489,349,
549,477,208,038,985,778,690,538,506,506,067,053,785,092,137,498,081,161,486,
647,434,406,486,886,476,382,195,911,589,304,320,976,355,958,818,469,442,796,
422,233,270,117,243,102,332,150,886,322,966,887,689,563,540,335,861,853,965,
686,639,642,014,296,258,227,542,659,511,169,094,431,337,337,603,234,353,330,
171,297,772,474,747,488,417,118,429,487,159,560,371,249,840,824,821,147,364,
774,760,600,356,551,843,385,016,670,210,923,020,120,280,473,231,885,648,740,
102,206,666,170,125,760,370,039,753,958,122,916,655,015,377,970,968,159,011,
471,436,735,925,101,618,056,249,306,551,861,875,293,210,623,553,830,438,404,
030,161,979,767,230,474,576,103,263,442,170,242,945,732,009,667,459,665,568,
287,652,448,667,004,375,172,792,473,142,260,798,067,709,683,428,676,363,493,
726,308,312,095,565,415,340,313,482,412,810,347,383,211,444,945,987,780,021,
985,518,105,438,601,495,024,405,623,550,773,678,869,599,743,077,781,561,455,
516,299,956,166,093,471,511,137,836,342,568,368,904,145,245,960,478,629,930,
008,502,536,595,300,474,016,622,634,867,086,319,533,853,731,823,967,397,797,
679,145,463,797,542,439,363,584,151,466,233,460,721,776,346,630,685,840,202,
305,476,845,703,502,625,934,471,810,789,472,373,463,306,310,998,027,320,193,
558,174,194,658,076,894,330,296,176,716,238,157,152,235,259,864,206,467,072,
794,629,838,456,323,748,485,017,126,325,155,855,716,635,631,788,520,045,417,
027,540,290,326,321,332,878,504,621,511,442,743,516,369,245,807,308,243,800,
047,224,189,076,249,672,168,454,077,982,507,892,011,980,398,307,543,134,763,
292,835,313,913,155,212,928,815,184,259,557,319,755,547,171,519,502,394,519,
497,572,311,929,560,713,055,198,713,013,458,735,029,494,539,422,642,755,352,
895,539,544,793,867,128,297,762,217,561,306,366,411,189,054,815,003,703,033,
521,980,367,161,795,796,861,851,732,190,801,084,406,796,591,142,049,484,431,
133,448,564,631,266,523,248,624,614,140,655,321,470,276,422,878,202,555,636,
141,920,372,716,706,412,656,900,502,849,993,805,596,763,473,172,143,334,880,
912,951,921,827,702,912,261,660,989,105,811,727,574,471,113,454,054,186,802,
952,929,229,243,980,198,907,546,450,278,360,566,173,983,683,295,954,617,806,
109,247,779,736,782,708,869,624,781,562,225,056,069,785,479,661,280,651,083,
671,256,674,758,794,237,169,446,777,989,434,892,930,400,089,886,642,524,412,
402,091,610,905,573,441,037,287,435,509,669,355,085,340,305,965,289,577,572,
195,574,841,496,517,773,886,772,600,976,054,711,909,688,933,683,294,090,223,
234,494,654,457,604,605,214,800,536,172,956,744,510,320,684,818,172,744,690,
403,901,322,062,963,669,204,101,672,444,047,239,066,530,870,964,290,818,352,
572,944,193,852,034,634,341,044,965,193,367,335,505,238,150,548,515,131,165,
073,247,856,171,255,481,884,456,343,627,677,061,513,276,518,305,945,727,435,
854,942,705,581,229,343,669,209,632,617,653,915,013,323,780,237,904,933,321,
760,282,519,335,162,985,896,733,665,696,801,811,983,522,678,150,334,935,298,
324,930,565,477,071,842,896,538,114,995,662,728,839,159,444,505,426,588,771,
624,027,307,398,763,427,671,001,883,266,984,568,125,076,197,587,670,340,912,
767,230,503,834,259,531,432,210,370,076,163,538,550,256,893,854,520,645,751,
422,080,050,198,421,263,569,351,868,265,301,943,427,889,831,906,904,730,919,
781,106,268,984,067,557,131,242,401,794,188,523,080,459,216,628,345,525,734,
584,473,096,651,085,583,428,800,854,962,006,687,557,625,037,559,312,540,289,
874,797,976,639,125,879,635,686,021,031,615,866,409,822,016,980,922,668,857,
676,227,816,536,297,279,340,233,338,452,217,407,977,714,016,962,934,325,264,
439,040,169,577,380,468,957,282,627,699,947,326,419,441,812,859,492,417,008,
601,274,345,830,785,429,707,000,709,485,906,737,904,297,413,467,719,685,854,
330,997,447,663,486,552,592,936,515,647,532,158,436,040,446,885,980,095,744,
763,176,630,885,820,594,986,461,940,449,664,386,177,925,801,707,814,729,306,
236,532,549,147,963,932,074,043,865,983,971,115,974,246,225,088,219,217,906,
657,475,931,073,125,767,787,487,629,805,250,156,577,169,842,116,533,528,219,
057,293,213,349,936,296,613,792,939,636,044,816,068,925,384,189,655,233,386,
731,199,253,907,863,137,300,149,543,730,482,182,652,479,432,345,832,617,369,
847,979,110,362,789,081,173,541,602,880,426,634,766,532,654,988,453,734,252,
434,284,793,094,196,513,817,725,589,985,294,939,150,996,321,292,388,229,302,
207,932,886,292,012,694,884,681,901,540,077,923,999,036,368,285,699,450,769,
962,521,381,435,364,476,164,046,015,275,356,027,419,186,751,233,771,666,498,
375,991,839,688,176,393,596,430,275,006,873,412,025,869,114,026,758,701,926,
773,622,615,043,754,328,913,569,203,175,734,726,519,370,138,215,411,789,330,
739,904,398,389,748,046,438,980,390,537,594,896,428,176,487,873,173,637,267,
292,318,326,144,295,227,661,590,670,816,703,959,183,405,868,820,780,277,383,
082,377,734,791,421,220,894,465,308,158,809,945,583,094,227,732,332,225,245,
207,049,908,523,521,843,591,791,867,104,192,534,305,177,909,732,947,653,931,
521,467,273,752,027,579,245,380,261,724,277,680,794,293,023,902,599,501,910,
012,378,697,499,929,963,875,218,553,612,455,835,466,243,237,299,332,959,609,
377,132,967,320,118,283,701,606,901,376,502,622,027,777,424,698,098,038,927,
182,569,703,813,275,869,532,377,565,624,133,082,669,631,600,128,305,884,412,
386,646,660,919,848,927,126,793,110,150,114,044,025,436,952,293,527,781,304,
872,882,995,194,774,126,965,449,985,143,966,749,882,719,965,078,023,163,484,
543,838,709,784,324,887,808,046,407,970,847,544,364,300,004,028,494,273,704,
584,182,370,050,140,233,525,917,413,425,160,852,815,100,384,759,450,964,444,
383,412,931,973,566,581,109,937,692,689,443,809,194,651,921,689,601,782,648,
078,750,608,782,099,456,929,713,331,812,711,582,263,540,695,218,063,828,420,
586,603,392,319,241,571,197,947,613,123,668,905,070,189,162,372,956,867,428,
119,268,794,557,775,408,528,030,027,394,563,671,841,573,491,327,707,996,101,
778,389,642,231,404,103,817,518,338,267,822,677,936,981,868,837,393,208,023,
444,839,095,372,518,976,715,084,427,343,214,676,927,925,843,948,661,151,430,
463,206,877,263,840,715,878,125,909,285,894,681,358,678,768,279,250,565,109,
509,492,318,870,108,702,345,800,285,388,158,614,600,004,834,445,415,874,209,
478,640,134,923,694,614,330,381,027,616,566,287,426,399,121,753,897,748,349,
868,438,681,617,432,182,503,793,865,692,276,806,567,772,228,899,530,899,005,
827,977,648,023,991,239,214,123,121,358,503,377,509,345,289,614,486,606,963,
612,831,304,461,089,180,217,146,579,377,702,973,332,721,772,464,959,624,358,
860,625,940,472,913,414,324,998,196,532,675,061,106,791,076,381,169,023,796,
816,952,761,917,677,464,138,024,900,844,887,243,396,975,506,092,716,422,732,
165,393,380,231,686,863,509,246,524,953,978,143,681,871,359,180,188,275,592,
798,290,160,845,858,953,509,210,036,558,825,923,882,035,783,799,776,832,230,
280,715,341,596,624,216,526,000,076,177,082,016,401,665,698,881,370,294,402,
609,677,364,592,123,922,990,528,699,930,531,274,021,551,079,989,592,009,493,
198,487,970,630,838,162,634,447,147,427,514,233,528,062,277,857,890,562,385,
892,946,800,839,032,585,185,866,155,437,233,048,179,553,207,816,605,117,819,
945,289,797,098,025,254,117,631,670,129,217,931,808,472,035,870,276,085,412,
395,282,992,400,115,670,736,697,803,979,374,577,957,142,713,756,085,877,379,
849,088,997,496,136,388,348,676,813,408,023,895,165,775,193,248,596,042,634,
134,901,066,810,610,174,566,702,779,587,198,851,207,115,941,039,074,599,341,
454,843,363,424,103,059,657,069,136,217,454,057,521,650,871,593,666,913,848,
053,928,737,351,734,555,236,459,544,618,276,637,844,300,971,354,408,399,902,
615,528,080,389,384,313,508,756,083,168,652,428,209,835,095,683,896,187,933,
775,678,513,359,644,248,004,467,396,588,944,721,603,163,314,632,606,316,275,
397,865,460,737,763,541,843,605,924,685,865,652,010,925,020,875,402,703,204,
028,405,879,884,972,250,203,954,378,702,000,805,267,297,174,585,159,885,925,
204,152,284,096,607,170,878,795,526,523,608,807,892,972,712,328,202,112,032,
086,685,190,360,977,531,753,312,587,714,796,182,416,122,486,030,726,875,641,
719,941,287,178,121,472,445,868,016,299,379,477,104,100,831,862,508,400,973,
565,983,535,055,157,295,192,339,153,759,317,498,163,811,286,009,207,280,903,
512,311,675,358,185,564,914,241,800,599,498,412,652,417,016,762,650,973,006,
048,710,415,163,530,211,909,710,611,532,182,237,133,089,451,955,739,341,418,
162,143,231,307,234,964,105,044,012,207,336,256,613,972,529,304,911,557,089,
402,674,359,660,265,944,982,196,749,093,594,610,978,750,221,888,578,022,109,
319,494,127,376,578,954,915,869,290,651,070,797,613,173,507,928,432,781,483,
535,525,927,278,217,632,881,857,458,489,528,277,045,490,088,730,513,417,060,
802,047,440,848,312,838,807,018,652,251,006,197,570,293,721,028,497,753,703,
324,117,915,680,056,736,490,111,044,283,528,227,078,093,254,694,630,803,175,
482,998,428,086,403,362,095,197,798,248,562,441,975,590,235,671,325,074,142,
740,233,249,566,444,487,571,081,478,948,819,492,501,466,762,948,812,723,319,
694,138,041,265,707,380,802,646,899,291,137,156,490,286,757,433,636,230,790,
727,194,493,423,977,705,980,978,990,784,895,306,564,513,563,498,525,077,107,
212,916,376,926,719,118,270,914,675,281,777,645,489,471,432,116,901,049,186,
049,326,305,724,357,638,522,703,525,469,083,303,820,321,723,671,230,999,951,
751,178,403,961,755,823,184,331,594,260,902,585,967,562,347,589,643,938,000,
198,732,813,733,025,327,098,614,955,125,779,883,870,243,736,609,178,089,293,
379,581,867,561,252,641,789,807,804,442,102,202,749,418,085,279,161,944,310,
802,298,568,978,714,328,683,321,489,584,189,302,544,286,648,099,640,786,096,
878,023,959,697,641,106,990,546,648,716,517,508,784,182,660,992,430,913,398,
374,696,444,433,097,115,251,060,872,619,116,805,105,303,241,034,198,173,950,
059,549,842,422,518,042,730,497,989,491,701,888,811,952,506,027,385,043,571,
860,058,577,483,891,917,964,754,699,988,104,665,366,575,816,239,324,838,182,
331,786,477,123,636,896,112,886,451,930,825,833,802,740,717,928,614,444,010,
903,868,252,609,221,213,223,456,450,008,853,102,446,535,984,639,337,152,264,
117,364,263,604,410,972,556,921,688,429,648,619,203,584,113,688,961,940,132,
883,602,855,697,657,729,822,765,333,875,631,336,723,279,406,546,509,770,031,
642,619,013,396,153,117,694,114,741,361,904,050,276,724,558,704,611,278,678,
133,092,511,021,245,939,352,494,698,774,443,738,054,457,700,791,297,881,900,
699,047,538,211,555,234,296,685,470,737,463,986,855,190,077,864,962,366,816,
134,914,442,785,151,370,619,174,031,569,408,226,083,539,775,786,264,110,256,
670,046,367,425,186,085,066,308,809,036,920,564,235,235,564,902,594,815,896,
912,210,462,617,902,189,397,692,899,096,847,329,034,513,669,584,018,999,596,
193,155,954,850,959,920,076,167,777,781,219,894,468,299,492,756,168,020,225,
552,696,744,737,980,501,905,051,617,145,118,444,470,734,954,566,204,080,986,
303,576,602,746,561,413,706,133,704,965,494,697,985,999,041,495,600,353,886,
846,704,076,385,394,112,198,515,175,750,673,120,470,672,886,409,015,342,806,
601,672,199,881,892,991,401,122,030,339,851,192,859,524,560,202,820,989,293,
289,755,188,491,695,892,374,374,274,135,845,738,903,767,001,517,182,292,384,
412,795,074,960,405,713,737,383,777,289,582,916,742,735,636,977,309,502,282,
091,148,931,229,281,742,181,193,885,340,197,610,017,015,780,532,468,090,159,
758,545,898,419,218,962,891,614,438,493,189,758,261,602,292,665,526,250,094,
266,014,919,401,204,393,900,971,004,905,409,544,587,947,238,531,105,410,084,
131,614,059,168,971,992,046,043,340,168,839,411,345,130,838,277,577,613,846,
970,351,077,170,561,606,142,503,066,620,890,180,335,808,031,521,530,930,622,
060,863,154,659,791,228,300,973,158,603,447,305,726,771,463,979,980,737,425,
239,981,407,426,050,869,634,214,538,151,668,567,324,328,112,216,773,280,326,
994,983,068,935,898,621,123,918,420,692,846,127,861,937,518,055,795,748,597,
868,832,150,071,662,056,551,130,604,326,868,341,033,182,430,319,669,442,358,
913,073,419,930,256,048,119,321,197,828,534,788,328,381,330,800,591,447,861,
100,793,931,291,690,172,155,532,351,529,561,966,897,741,508,635,782,028,987,
643,195,408,762,107,872,074,877,377,278,268,608,535,829,890,969,309,742,476,
243,527,551,143,844,108,573,001,010,816,179,724,907,056,338,206,999,366,129,
139,582,513,805,830,374,061,746,438,743,616,206,958,806,741,890,190,865,995,
419,132,201,314,383,808,740,302,228,876,651,098,501,344,266,867,188,066,583,
126,008,661,207,782,583,951,514,169,355,555,006,983,878,684,039,213,527,456,
861,182,721,875,429,633,644,001,607,313,519,577,695,839,149,160,875,184,927,
613,090,592,634,200,743,740,392,903,379,474,275,105,140,722,248,663,585,742,
376,909,240,897,400,321,827,320,719,835,213,162,215,276,244,780,606,511,278,
032,087,263,144,566,119,681,189,205,764,422,043,725,881,247,287,869,279,060,
768,789,874,111,407,615,188,504,707,913,951,930,598,349,650,042,703,459,737,
063,837,819,065,791,626,392,266,634,868,458,781,285,901,882,584,955,363,383,
482,974,632,150,728,204,534,868,520,164,890,814,843,760,736,202,005,042,685,
521,906,066,309,005,786,089,850,079,877,963,369,611,194,804,288,168,217,593,
754,142,795,760,864,004,019,114,780,685,722,605,074,639,266,107,046,355,720,
773,254,073,016,273,790,638,778,645,139,668,411,633,965,025,471,591,233,654,
268,161,861,935,760,737,706,352,333,189,056,243,747,543,802,429,481,253,354,
312,172,269,996,650,823,627,368,237,771,521,603,743,259,605,554,569,748,806,
538,520,979,882,614,976,884,466,455,044,385,859,258,680,855,601,814,632,666,
581,529,751,061,943,566,930,812,118,667,585,468,709,422,813,616,675,832,344,
818,699,883,742,559,614,541,600,250,083,239,128,644,839,361,779,559,941,076,
797,745,648,834,330,372,853,374,390,532,083,388,094,841,221,701,412,697,210,
258,917,912,329,581,350,746,218,907,857,496,482,184,473,773,560,171,916,539,
179,712,111,891,490,071,175,109,263,046,696,916,539,892,642,816,344,259,415,
498,234,414,067,852,556,364,874,606,816,443,635,408,674,308,650,589,865,139,
283,336,195,566,651,772,036,309,508,245,306,031,000,364,365,109,505,883,096,
419,593,196,836,954,536,724,359,366,659,001,119,489,312,468,223,802,460,603,
599,194,387,045,895,331,622,405,890,272,696,948,577,851,451,751,858,210,796,
574,915,614,905,810,998,219,889,129,926,037,954,596,962,590,260,116,701,233,
319,131,058,245,418,052,039,541,933,649,529,170,816,081,856,436,545,008,070,
472,302,682,688,815,528,430,617,696,357,508,965,581,933,411,160,592,032,646,
208,478,422,426,924,518,226,154,837,177,458,030,487,268,498,879,529,948,135,
156,843,246,779,481,610,518,666,857,439,472,494,918,160,015,055,816,532,058,
290,856,819,792,413,250,214,830,786,437,374,624,218,375,504,218,226,898,789,
898,284,460,921,096,563,482,577,348,428,883,962,134,671,658,713,469,068,194,
603,734,171,252,834,673,068,981,966,514,214,785,639,621,267,403,156,333,881,
092,768,079,923,250,472,349,912,208,593,993,335,614,094,441,650,872,288,332,
442,281,828,210,808,193,160,831,289,197,742,283,076,294,712,545,938,735,805,
913,899,217,403,360,580,435,162,136,632,511,625,091,734,782,064,203,607,112,
217,887,908,109,840,644,043,968,723,438,559,080,097,649,034,595,983,441,892,
581,396,765,750,757,311,875,088,035,760,314,256,691,579,699,854,066,148,247,
072,944,838,416,301,211,258,815,100,336,148,561,133,372,965,113,375,163,700,
190,183,807,177,204,016,634,895,654,341,506,091,625,571,076,262,057,654,025,
962,136,726,623,940,444,659,129,833,833,246,516,529,898,866,049,245,116,352,
686,992,846,522,408,438,090,776,816,713,886,872,373,723,521,987,956,978,117,
946,530,761,828,976,687,748,154,954,931,136,464,139,500,528,530,197,985,316,
796,584,007,292,792,160,449,854,392,278,581,273,152,884,105,857,306,398,961,
149,354,606,452,486,184,315,630,696,407,385,667,097,643,355,327,059,527,756,
010,034,966,303,802,292,394,957,433,555,381,713,092,766,795,923,428,966,600,
422,230,261,089,682,627,181,179,634,259,996,151,322,513,095,261,375,496,708,
434,273,587,692,834,176,679,092,333,048,808,810,233,171,608,633,516,592,978,
531,616,102,964,120,200,094,816,905,179,687,086,837,450,973,437,260,577,845,
364,962,011,004,208,917,032,398,471,243,830,987,193,664,082,288,471,514,762,
091,151,570,313,378,323,364,008,285,106,649,033,399,589,940,479,602,531,439,
155,957,543,867,799,533,564,981,009,451,876,392,994,891,051,130,638,768,901,
277,232,183,804,647,271,374,130,173,804,630,964,958,018,767,064,771,994,063,
814,934,105,686,709,274,500,960,479,184,462,095,213,581,808,335,423,858,152,
633,372,197,485,222,817,529,023,391,522,993,197,154,072,174,719,592,150,147,
409,909,241,812,307,089,669,313,268,318,577,055,668,534,739,235,847,184,314,
092,316,379,799,066,632,791,867,951,918,413,148,471,662,117,641,886,666,577,
266,664,205,432,127,443,549,430,694,984,850,901,565,077,857,546,981,963,199,
518,972,329,141,884,701,611,856,910,763,961,842,554,789,504,519,468,524,707,
364,182,588,691,594,509,366,389,442,136,323,193,524,953,905,097,433,237,368,
622,014,322,146,586,869,014,301,971,789,499,895,997,572,797,683,633,176,276,
604,306,853,945,730,505,266,688,174,391,757,757,907,317,166,267,213,624,983,
504,322,456,597,252,521,363,687,269,610,362,022,466,850,210,589,505,026,970,
494,171,037,457,498,092,636,397,811,352,621,937,589,507,075,155,583,234,118,
136,972,415,111,477,001,326,357,247,144,559,679,300,766,870,022,658,342,551,
392,411,072,479,146,352,858,820,759,023,151,004,792,223,396,877,804,103,260,
005,025,379,150,714,637,713,483,685,487,797,239,394,959,403,494,209,130,602,
745,279,462,781,438,002,152,593,476,404,269,700,336,331,892,027,476,978,840,
585,245,688,543,868,052,311,876,362,131,753,098,949,951,955,970,947,254,803,
767,372,281,853,352,802,283,903,045,006,710,759,636,847,073,659,209,073,476,
315,481,156,530,408,404,172,073,648,266,626,488,455,440,745,904,040,353,235,
463,105,686,849,838,780,436,959,929,043,201,075,381,359,032,775,961,925,793,
945,689,295,257,501,719,044,138,082,047,666,515,036,562,390,117,776,949,774,
441,648,027,660,900,433,306,259,521,632,685,040,090,227,474,145,865,297,575,
057,251,471,434,075,701,801,947,235,410,654,913,728,939,680,334,039,010,914,
025,730,252,968,032,854,586,057,419,878,372,733,254,124,869,759,507,403,880,
761,539,269,506,881,073,788,284,200,863,688,095,588,500,121,661,969,078,606,
558,073,193,464,677,195,556,754,354,230,325,822,503,265,549,397,925,944,531,
537,544,116,481,533,834,174,723,779,747,664,218,295,467,427,013,769,710,166,
697,537,036,569,762,209,835,168,619,329,270,485,451,086,825,751,354,752,252,
988,244,116,436,220,543,952,114,943,228,456,801,821,699,760,415,140,534,828,
632,120,290,638,172,769,697,943,386,550,769,204,786,555,810,390,769,866,867,
217,244,873,814,251,271,727,627,760,982,807,684,408,610,875,398,387,404,616,
500,062,930,919,830,920,924,912,834,870,619,518,835,667,705,091,289,881,872,
774,120,491,340,061,098,290,887,567,233,174,292,183,968,764,800,557,964,022,
187,409,662,726,568,284,274,873,385,208,064,555,269,077,028,342,316,042,207,
853,631,739,573,816,988,640,473,309,158,549,114,187,533,567,508,060,219,734,
976,781,613,238,931,219,396,050,566,475,023,644,390,965,874,726,149,857,501,
127,878,654,938,532,589,843,808,182,513,302,391,376,610,564,254,842,267,898,
383,266,148,923,464,413,007,556,294,759,213,610,379,898,183,076,480,609,503,
453,697,439,186,091,427,986,080,985,222,824,212,500,147,282,605,407,714,294,
852,915,150,505,751,847,093,791,113,230,984,782,857,139,768,279,229,612,405,
568,826,958,922,574,717,644,025,360,908,711,442,682,278,380,442,557,759,777,
667,253,564,588,633,114,989,579,260,042,103,720,382,520,695,287,290,906,518,
970,628,073,045,884,106,798,992,183,310,667,524,087,908,409,380,168,205,098,
874,570,469,246,527,261,283,482,946,047,462,006,429,972,917,773,452,094,997,
121,254,943,785,551,980,707,080,476,799,405,692,959,870,388,210,578,167,675,
187,298,217,060,758,220,136,885,780,889,087,488,454,260,078,848,611,346,005,
600,645,322,010,634,887,374,404,052,445,925,499,844,747,375,258,044,158,910,
091,222,009,869,597,013,636,939,146,381,689,054,542,350,507,568,287,561,903,
703,214,581,526,428,531,347,285,549,700,401,577,315,391,891,457,908,545,256,
918,237,857,777,569,159,778,299,881,231,057,151,628,756,465,614,409,982,572,
095,161,196,125,997,927,019,480,345,686,569,555,140,141,439,158,398,848,584,
890,220,243,464,092,250,215,188,644,272,401,854,036,255,863,989,248,902,603,
048,973,630,894,755,677,951,672,920,072,606,507,217,142,239,036,144,179,910,
605,523,723,196,259,315,757,326,613,646,433,985,264,063,884,848,862,289,649,
253,058,772,152,495,806,104,810,327,181,817,422,600,978,436,168,878,366,785,
129,016,387,033,574,402,511,715,989,371,122,214,997,233,085,830,783,986,784,
560,045,419,663,314,347,831,384,023,658,835,320,042,175,104,555,843,714,229,
565,619,250,641,614,442,160,056,716,885,545,261,698,160,519,109,944,091,793,
232,475,425,600,317,218,944,863,371,037,522,529,182,975,399,600,710,926,832,
522,610,084,907,315,080,404,209,491,372,148,774,885,966,152,175,116,712,485,
329,998,452,744,345,450,658,528,802,133,780,141,437,213,575,694,113,520,342,
833,834,032,226,344,340,271,894,762,326,254,649,214,518,368,773,414,880,045,
507,943,884,042,177,443,334,642,662,656,121,072,818,701,955,802,162,750,036,
849,565,396,106,315,761,689,170,208,054,737,895,983,263,489,501,562,539,357,
882,051,295,105,530,628,574,487,846,909,445,795,672,619,269,696,100,424,534,
982,801,163,442,484,671,210,058,604,403,657,801,600,247,762,904,243,657,409,
413,877,552,214,805,789,058,112,071,255,301,636,720,648,658,276,346,255,097,
777,363,812,117,387,222,819,094,278,738,846,056,233,251,009,574,586,105,802,
348,736,744,716,343,797,073,162,202,732,633,360,901,909,252,172,063,191,398,
214,096,741,844,521,489,347,110,212,072,326,485,906,158,715,410,802,961,657,
950,447,221,750,192,838,799,098,196,878,876,143,549,811,211,987,216,206,159,
606,385,801,829,967,466,838,099,109,796,021,795,455,397,212,230,833,801,766,
765,041,772,949,850,947,852,959,829,715,467,502,699,468,650,382,595,309,066,
654,334,008,388,495,315,416,089,453,670,638,179,844,059,422,678,784,584,364,
609,421,809,742,262,249,285,871,905,978,965,685,003,405,397,246,136,294,794,
601,630,095,102,842,543,942,211,686,431,494,801,890,094,558,533,652,481,483,
603,551,950,219,372,039,220,478,087,731,152,730,834,110,546,756,875,659,152,
424,911,588,097,478,789,375,521,260,899,556,230,566,316,536,929,880,800,161,
423,249,789,223,771,344,422,052,223,931,877,194,911,188,902,793,439,336,193,
260,086,599,045,111,208,404,377,749,075,555,529,492,157,243,231,626,767,553,
215,059,963,101,871,749,702,322,341,756,749,571,725,937,094,890,951,892,429,
901,351,122,155,182,984,143,835,676,270,840,665,672,674,609,545,960,143,696,
261,303,434,112,833,907,159,538,774,897,514,961,149,157,604,841,875,057,115,
163,925,197,379,735,032,378,757,054,973,285,220,867,828,915,251,016,065,263,
601,231,828,885,437,191,507,815,052,801,804,279,984,859,080,752,072,061,312,
392,217,763,175,247,136,683,781,662,245,893,465,339,052,019,054,381,751,915,
734,287,441,112,779,827,684,002,079,571,605,727,456,578,746,460,253,305,516,
324,085,190,666,740,183,837,849,043,711,419,951,917,315,991,943,822,267,226,
219,979,095,490,810,212,014,595,389,450,576,502,194,395,321,703,619,811,349,
866,624,209,612,330,258,858,448,313,536,306,528,618,104,241,261,262,807,957,
272,666,144,063,525,412,766,090,596,616,255,846,152,913,747,918,693,540,055,
430,865,250,728,818,190,582,578,875,465,751,143,801,356,552,630,896,927,619,
588,167,862,325,554,756,537,482,598,001,842,733,436,705,154,034,420,109,434,
053,997,806,275,634,286,962,980,201,405,905,858,485,469,531,345,290,055,550,
155,779,823,393,497,196,584,556,135,844,560,719,728,595,707,953,700,749,865,
087,787,188,439,683,721,326,042,448,429,721,312,784,328,047,358,687,434,669,
184,439,017,400,146,065,459,741,510,392,448,604,585,816,500,866,608,080,076,
864,632,573,425,065,498,357,575,692,401,860,617,225,719,829,133,155,093,323,
671,010,231,107,441,252,236,411,196,592,038,741,113,076,776,890,208,448,634,
071,246,882,950,495,307,441,981,634,320,854,926,447,448,354,761,243,394,892,
575,850,964,822,281,697,654,965,090,318,549,293,472,860,470,702,823,843,958,
321,992,198,779,300,062,844,110,443,443,019,608,599,241,823,326,784,217,111,
412,143,253,008,962,961,240,226,341,414,246,143,058,176,235,498,708,280,388,
764,556,245,340,925,397,540,728,776,418,568,987,503,405,008,741,228,912,573,
132,797,246,421,046,318,674,791,513,135,224,766,161,465,485,039,203,887,976,
786,372,994,952,961,212,100,303,588,413,490,371,034,117,772,359,979,084,289,
858,254,976,419,846,997,715,085,012,748,182,419,364,540,037,798,478,523,812,
277,880,129,692,976,983,775,331,916,714,877,639,883,865,117,704,243,308,340,
782,771,893,857,790,243,823,072,390,163,984,377,919,655,374,865,440,201,514,
883,818,651,495,666,206,418,045,615,173,728,421,687,870,742,549,499,076,565,
764,802,415,423,611,816,756,379,267,155,800,469,154,606,596,625,215,883,339,
220,179,596,417,268,022,701,954,592,921,316,608,887,247,226,272,990,127,133,
666,023,148,209,804,215,738,911,347,959,058,496,797,937,449,467,967,520,065,
427,546,273,942,271,866,957,749,550,515,106,077,448,325,791,145,554,745,613,
915,000,303,893,957,665,297,978,959,531,815,271,641,171,030,686,207,254,812,
817,551,593,072,356,185,140,842,597,154,226,003,364,895,185,695,136,543,491,
500,491,679,920,479,466,014,816,480,289,875,516,777,851,498,388,431,493,995,
693,194,901,113,088,410,328,698,614,815,724,361,548,608,895,887,523,797,723,
893,815,649,477,993,884,272,031,040,571,665,172,885,187,395,868,959,131,442,
974,422,416,718,238,274,428,072,154,708,017,125,642,516,482,353,280,531,444,
669,134,729,387,158,152,018,812,054,488,793,500,427,550,996,874,160,022,721,
225,698,175,683,027,303,071,591,405,562,336,457,500,145,285,511,417,447,362,
059,918,666,093,706,766,903,911,944,977,470,874,700,240,637,248,022,016,642,
304,079,138,001,810,302,753,513,393,474,602,248,250,813,869,312,253,562,139,
117,458,592,638,363,708,645,448,675,284,267,975,623,444,746,138,602,137,257,
785,810,374,635,870,437,248,028,500,675,815,124,963,146,604,775,333,392,611,
805,099,654,753,746,050,940,282,503,504,468,958,313,086,124,152,966,889,359,
639,057,564,564,414,996,690,737,771,670,507,743,681,193,359,505,346,194,271,
687,253,349,456,498,509,685,405,230,617,961,074,389,066,854,192,994,535,556,
163,514,932,158,271,342,881,259,720,278,603,901,396,966,443,944,797,313,544,
260,578,692,656,506,342,066,887,005,745,922,760,033,549,747,672,927,353,724,
008,460,954,315,363,021,759,130,471,332,321,250,734,944,618,621,103,640,887,
963,055,322,682,664,486,048,665,559,407,936,661,608,851,507,595,704,171,792,
936,050,648,553,955,610,681,700,024,349,849,231,957,330,906,528,981,116,096,
739,182,268,725,409,348,966,573,999,443,766,988,922,062,609,838,082,586,504,
207,683,996,021,782,598,843,749,040,059,111,745,492,883,259,812,465,988,170,
423,159,691,152,598,377,254,514,810,263,853,783,335,575,100,215,574,374,933,
123,173,321,938,194,244,243,258,896,493,723,521,136,110,287,715,080,087,538,
663,013,692,560,699,084,147,496,125,718,228,066,642,338,002,906,584,376,983,
702,769,739,001,211,240,509,015,516,544,045,727,638,903,799,559,228,879,323,
064,149,693,892,624,580,556,560,808,406,946,825,275,860,854,805,775,623,805,
914,223,843,951,574,123,742,377,550,789,282,495,030,070,886,409,830,899,519,
383,745,009,106,720,757,507,344,247,367,989,102,499,505,384,431,329,127,818,
063,549,407,669,923,611,410,060,382,280,019,273,887,797,331,670,763,251,843,
748,308,936,704,030,470,125,107,651,687,702,116,491,760,685,727,900,807,352,
142,341,203,738,903,291,921,844,774,914,638,561,506,206,125,423,599,441,831,
463,402,771,954,248,755,877,600,917,236,729,251,866,425,818,921,307,344,459,
284,529,699,801,316,546,283,536,901,232,294,598,969,900,298,697,952,671,713,
324,065,339,551,408,335,466,377,164,938,874,641,161,842,421,092,681,904,501,
121,637,564,597,377,755,762,399,890,096,066,787,642,745,187,428,334,357,388,
764,485,215,254,978,228,175,679,346,515,329,077,936,470,783,477,741,123,855,
477,592,174,884,339,046,821,005,799,057,524,836,561,754,630,547,818,923,322,
714,573,963,556,999,857,216,253,009,260,800,286,466,464,398,942,699,619,850,
593,336,678,068,406,071,953,925,087,919,528,321,916,600,878,860,672,906,232,
657,984,493,541,628,027,029,450,218,092,442,025,936,832,830,906,855,789,889,
245,666,218,645,020,256,397,643,622,145,503,617,446,162,698,476,208,261,589,
923,598,948,955,789,172,310,658,503,947,062,472,942,790,784,179,336,084,369,
597,353,952,708,491,072,744,642,255,637,605,329,046,822,468,011,372,317,094,
522,468,734,493,663,398,778,996,123,495,500,024,387,797,341,666,568,930,605,
913,448,544,349,845,587,129,103,410,116,658,011,418,368,218,915,821,938,069,
913,123,636,313,889,840,309,516,779,052,763,496,687,226,071,337,830,225,663,
011,665,810,382,897,113,199,751,555,003,492,532,098,690,471,640,517,628,291,
344,996,760,841,958,595,070,847,901,293,153,827,596,209,414,313,001,457,609,
381,435,048,748,818,483,301,194,633,059,106,589,426,994,595,317,974,579,610,
256,727,564,275,885,377,307,242,830,014,217,292,187,762,770,586,332,778,880,
510,304,990,809,708,468,373,712,920,284,249,835,009,003,135,500,748,573,899,
840,644,062,555,246,681,762,016,084,471,428,809,118,305,348,104,201,955,676,
739,485,082,339,968,548,415,076,574,849,326,446,610,019,921,657,843,798,234,
150,782,269,815,855,473,953,526,613,012,572,896,086,788,090,427,475,265,763,
907,708,814,578,661,285,463,117,440,890,958,725,028,156,924,285,448,005,683,
576,561,300,413,460,076,409,929,916,254,128,358,930,477,223,875,740,065,592,
055,012,210,034,482,965,226,718,541,051,990,030,334,756,574,000,182,666,226,
994,431,390,624,499,951,452,712,828,711,268,720,446,050,649,910,678,969,117,
733,752,126,015,447,358,165,913,061,243,635,833,113,525,030,520,308,050,905,
561,278,558,299,860,465,205,834,645,884,674,685,193,944,224,961,719,728,120,
430,250,701,765,593,253,666,087,949,870,652,813,428,252,715,609,253,955,225,
346,696,063,322,768,477,474,651,297,384,481,041,515,669,821,922,012,452,235,
467,781,677,447,070,373,941,684,085,096,158,385,333,922,502,005,012,278,291,
853,179,851,402,013,693,261,897,248,071,074,604,072,714,948,136,834,768,667,
774,599,189,235,450,681,926,299,960,512,535,915,282,447,829,685,983,217,525,
857,847,337,809,869,267,185,075,021,202,435,569,711,278,129,465,264,049,642,
290,935,060,474,786,101,526,426,734,924,527,669,496,900,627,040,115,833,985,
209,462,038,157,031,303,481,452,829,017,431,710,051,245,528,331,234,265,005,
717,468,365,822,592,082,535,246,917,195,865,920,410,954,002,326,702,512,303,
653,703,816,381,304,543,904,403,321,870,371,313,109,274,252,837,422,086,004,
675,576,513,447,978,983,877,746,169,495,332,567,699,230,840,835,468,379,499,
397,303,104,140,061,275,409,455,321,243,793,886,468,707,131,131,213,210,351,
391,573,082,257,173,204,218,577,535,345,633,545,992,986,185,594,959,999,702,
145,468,183,923,853,678,063,970,140,391,335,684,190,924,549,536,957,606,935,
151,657,569,126,271,813,865,462,192,831,917,430,648,332,849,426,573,302,001,
010,427,118,225,492,893,844,560,757,188,834,425,038,348,554,224,983,669,562,
764,543,593,350,575,346,600,263,786,616,296,226,197,830,740,371,051,607,340,
337,008,845,510,236,187,435,777,254,352,330,661,525,560,798,361,808,291,886,
121,317,033,143,794,772,068,134,796,064,564,035,368,210,785,955,029,484,083,
831,785,916,272,245,832,602,658,357,578,098,262,812,094,584,577,313,008,170,
243,016,377,075,531,399,299,367,109,508,983,592,695,150,955,134,350,696,521,
857,555,013,407,221,148,214,691,682,006,100,100,508,396,026,233,039,786,269,
387,849,830,682,080,931,436,568,745,882,257,912,533,736,060,032,532,795,192,
304,976,181,585,419,084,456,656,886,323,032,176,461,149,395,698,406,871,071,
810,480,717,818,388,471,491,169,413,951,234,513,703,620,708,439,611,419,835,
455,347,376,525,718,572,740,964,729,991,371,025,476,430,536,515,021,293,266,
417,543,367,362,266,205,259,420,768,296,700,598,649,916,463,818,991,583,940,
441,403,323,730,566,576,095,830,439,572,405,348,653,690,716,518,304,628,655,
032,723,388,398,941,504,038,353,787,183,845,507,096,511,025,669,263,081,278,
924,370,477,251,213,589,356,009,264,197,476,729,174,193,036,319,113,091,465,
370,400,406,169,723,169,114,277,392,179,026,499,478,634,895,965,956,052,405,
404,934,698,184,724,163,427,536,722,563,404,089,000,017,481,336,845,036,324,
054,284,148,982,648,273,780,515,939,514,816,227,575,843,391,009,851,012,894,
695,255,179,489,156,296,131,308,557,307,980,278,391,873,741,177,345,119,393,
970,103,700,312,087,345,542,552,166,269,902,296,204,622,616,280,692,683,726,
265,088,796,208,119,989,766,961,642,243,026,330,431,977,388,450,635,402,093,
968,988,607,236,316,404,124,392,696,220,029,968,270,063,542,320,861,387,517,
379,763,493,725,626,584,529,848,113,023,377,563,136,961,702,291,637,090,353,
109,166,986,444,352,119,919,206,287,994,797,627,202,480,905,166,257,422,806,
370,273,575,360,233,038,263,741,268,423,436,227,587,772,660,277,837,982,562,
008,918,803,143,478,536,952,917,224,506,163,457,546,964,582,936,088,306,778,
443,113,014,313,261,830,583,339,136,447,108,319,347,824,477,226,116,038,178,
119,854,287,847,625,021,818,968,811,897,160,055,202,457,728,394,667,140,766,
516,686,549,264,496,355,744,447,414,715,489,987,064,278,753,295,067,955,148,
487,127,682,015,860,592,747,949,908,959,494,771,602,585,066,522,214,636,427,
734,646,542,826,934,994,993,463,578,190,521,875,579,266,722,047,238,206,892,
353,955,149,777,932,979,237,670,054,222,468,966,812,480,816,777,379,765,762,
870,301,019,004,424,354,293,114,372,641,483,362,457,581,742,989,931,349,174,
061,160,250,895,764,563,501,143,651,605,629,143,334,497,479,804,511,088,049,
081,229,438,141,710,396,372,760,034,354,448,641,760,594,497,839,116,647,104,
200,124,261,830,307,480,533,920,786,787,117,086,360,920,715,320,314,543,023,
450,009,827,884,729,309,897,336,046,905,621,157,867,153,773,117,769,115,047,
659,835,281,343,136,626,035,735,529,627,751,096,731,559,208,846,125,398,599,
838,271,175,124,756,948,055,865,048,270,441,499,861,420,123,796,745,503,119,
328,273,785,558,356,267,280,928,763,200,469,469,567,163,292,366,453,940,491,
684,770,445,763,904,168,407,151,385,492,827,298,180,502,193,889,263,816,208,
582,397,878,637,820,362,773,934,324,531,507,273,638,925,759,132,649,544,257,
027,000,364,436,680,739,469,242,192,192,353,190,132,552,431,206,050,419,907,
095,884,996,525,292,840,917,169,280,151,473,859,203,053,705,179,567,632,426,
196,744,857,340,361,177,254,668,777,891,424,676,357,011,687,365,093,507,729,
961,993,211,543,369,501,779,460,982,974,600,353,310,143,540,700,622,890,594,
920,710,881,929,619,097,315,088,436,668,982,093,568,855,843,828,893,798,185,
216,624,832,825,020,085,354,296,380,755,033,954,010,467,541,333,858,738,133,
938,355,257,212,716,391,400,355,291,867,153,536,417,080,957,243,932,532,174,
629,104,277,670,145,583,462,223,786,586,680,160,853,596,469,875,810,984,269,
569,090,922,630,208,650,207,899,105,630,779,146,725,534,982,223,166,034,678,
356,146,742,791,031,413,548,426,017,747,593,907,831,219,280,468,899,266,107,
370,279,785,954,526,400,672,427,141,359,958,661,271,874,767,974,157,135,669,
258,467,744,674,251,269,593,900,119,425,268,254,405,539,661,206,579,032,647,
635,217,160,305,019,536,478,253,488,082,978,811,854,633,151,751,459,047,654,
789,426,653,294,641,288,757,670,675,903,063,505,907,206,220,258,661,939,230,
675,902,131,796,407,823,079,075,153,968,447,265,916,380,426,584,729,593,120,
669,461,369,264,751,162,940,449,733,298,312,343,904,570,823,817,247,680,198,
418,235,852,740,131,063,888,891,191,138,941,717,808,198,922,732,561,299,822,
147,395,434,801,619,841,052,139,962,908,930,800,540,087,574,022,168,580,460,
189,651,663,218,928,656,838,124,785,338,241,499,237,292,206,134,111,193,475,
591,997,740,853,223,286,115,628,902,287,434,985,655,974,256,774,061,433,663,
459,243,761,699,041,547,138,742,196,859,509,864,987,854,978,244,451,190,848,
463,039,552,418,645,429,956,926,034,316,288,379,012,443,408,712,390,398,604,
423,986,417,489,227,527,725,796,142,698,710,086,219,668,782,973,572,728,136,
669,597,845,941,258,958,242,911,098,360,834,398,344,236,660,775,502,016,579,
710,310,431,827,606,342,135,367,957,385,742,169,678,789,345,773,737,112,433,
951,988,598,030,854,640,309,517,639,456,658,397,723,658,018,815,553,057,303,
480,484,405,424,382,391,170,033,533,818,082,388,264,467,053,235,469,089,117,
315,435,300,054,484,780,052,967,131,519,892,261,088,061,748,831,962,119,281,
888,010,112,862,309,520,065,945,097,358,657,172,535,939,887,480,325,866,229,
788,309,463,915,221,593,740,965,397,558,409,107,520,154,037,485,958,624,340,
341,646,842,807,473,461,286,073,791,783,061,078,525,143,232,118,781,925,931,
666,191,610,300,418,669,471,371,660,688,991,108,879,953,633,697,875,287,838,
879,687,364,173,075,043,286,952,879,994,154,714,158,477,703,579,171,272,535,
100,669,467,551,262,018,287,578,526,777,376,971,361,690,203,438,546,806,000,
273,608,894,354,390,086,552,928,815,872,317,947,874,550,416,376,189,116,468,
265,354,055,921,194,146,415,878,008,967,165,618,471,535,632,366,063,340,009,
361,845,696,272,470,704,574,052,618,260,187,301,083,956,250,664,990,502,081,
822,672,742,250,658,408,140,899,236,433,319,865,610,714,784,440,448,995,923,
368,572,854,943,585,310,794,463,906,781,348,018,936,699,363,546,681,879,671,
876,031,924,501,550,327,386,030,913,501,605,758,594,749,093,224,019,553,232,
924,974,209,986,264,429,234,335,728,366,859,837,865,459,502,385,220,832,256,
141,924,502,172,905,917,441,518,442,398,776,048,927,645,969,647,155,938,546,
792,878,467,716,643,722,288,894,038,286,090,841,334,345,378,855,828,566,936,
211,548,968,816,162,207,226,197,429,442,727,298,877,728,982,678,061,318,793,
803,247,475,113,441,666,342,660,120,798,755,789,450,914,737,777,474,667,824,
903,345,996,581,637,682,451,988,775,063,914,803,119,069,250,379,075,894,815,
368,051,404,592,796,691,621,243,991,409,860,090,620,200,090,760,388,312,464,
163,094,005,609,089,420,458,468,513,472,988,208,528,633,687,805,426,734,612,
120,175,401,705,567,009,589,230,378,430,034,667,414,158,338,313,241,541,439,
520,338,844,427,871,396,158,719,814,793,803,480,025,160,707,194,151,491,163,
838,856,541,456,957,329,288,640,270,984,670,983,722,414,409,551,926,156,098,
337,799,307,757,010,963,959,969,848,794,991,778,078,803,174,478,884,087,901,
621,371,938,488,713,748,761,003,392,477,908,991,518,111,828,578,818,129,491,
411,536,359,836,641,711,620,392,815,543,974,361,364,035,479,643,017,358,860,
271,802,188,140,774,480,849,504,772,123,893,178,494,415,883,818,681,030,018,
932,311,994,134,469,518,568,410,965,462,428,591,381,441,744,674,945,986,873,
567,804,854,152,827,580,748,884,637,756,480,289,482,372,812,130,923,522,300,
424,966,052,938,273,191,206,173,194,307,801,403,535,804,801,053,960,459,869,
594,923,309,502,931,440,858,023,666,887,708,367,958,539,053,679,717,118,247,
229,602,844,421,589,044,217,658,585,425,021,928,452,124,756,193,525,980,644,
405,225,642,941,509,313,849,299,490,446,879,530,808,630,991,932,322,552,002,
706,505,710,802,717,274,730,728,884,606,461,203,146,530,848,103,936,397,209,
435,541,867,636,564,362,864,524,772,124,238,087,772,444,362,119,418,758,593,
996,260,044,386,160,510,253,579,879,895,012,275,668,520,885,444,383,791,644,
529,109,613,789,300,600,292,918,008,561,438,203,643,918,581,297,814,095,863,
411,207,504,400,080,600,584,006,251,699,486,894,265,717,856,576,392,209,428,
809,352,080,662,186,895,401,369,792,073,097,623,986,468,161,699,591,520,021,
764,699,493,352,740,131,708,583,722,331,785,684,971,501,096,896,706,355,582,
089,764,626,039,650,067,278,831,554,157,984,127,424,335,857,707,347,841,262,
107,114,040,557,285,306,905,939,862,557,112,966,753,375,108,822,140,573,820,
555,544,849,564,640,049,855,251,903,265,964,798,658,567,467,161,063,459,430,
589,877,249,857,191,939,962,268,273,541,503,421,956,239,463,799,639,052,235,
556,813,665,705,926,380,461,960,165,861,010,788,762,891,851,953,608,377,189,
572,698,339,764,330,222,539,655,866,464,703,475,375,725,318,957,538,942,307,
675,736,099,470,104,647,769,912,631,247,757,533,098,390,460,879,312,309,132,
838,849,207,325,026,181,033,439,150,679,418,631,521,422,790,085,549,289,819,
053,774,489,067,809,793,734,275,586,286,664,574,400,797,805,672,378,311,571,
102,232,490,628,156,606,905,169,255,757,754,895,308,292,930,130,994,224,903,
362,439,133,887,151,391,795,095,686,365,279,145,601,119,805,757,076,213,067,
992,511,805,715,601,335,722,801,316,221,205,857,047,753,240,498,153,084,767,
540,989,511,184,907,974,226,867,603,701,594,149,420,602,166,198,719,155,940,
483,856,609,033,765,787,092,642,454,196,955,710,104,341,172,949,150,289,562,
802,843,918,159,796,747,400,645,339,512,937,676,938,932,988,652,439,644,244,
340,219,549,544,121,480,693,627,054,035,213,258,890,416,387,193,057,811,434,
270,027,642,178,055,171,831,645,936,146,200,423,921,177,347,777,635,434,464,
329,105,048,285,594,251,920,126,064,350,801,864,066,792,808,912,863,625,454,
517,607,293,500,809,491,879,818,570,892,262,232,742,246,754,410,415,008,390,
246,851,159,968,046,568,729,865,378,350,832,507,966,927,904,107,796,538,811,
292,443,440,396,726,313,588,579,541,183,173,612,891,807,739,686,894,463,198,
064,394,662,327,973,653,519,663,604,152,327,732,270,998,274,559,071,321,157,
341,778,974,169,354,018,379,525,404,328,775,124,587,067,999,790,628,979,271,
647,598,370,092,946,613,998,023,752,567,232,556,013,801,291,426,187,657,833,
789,654,088,617,704,083,015,195,846,850,935,023,262,734,229,948,418,116,833,
709,066,413,478,483,146,341,005,226,025,499,203,672,209,212,006,508,444,310,
303,120,217,974,458,703,230,438,376,864,527,244,706,806,520,568,782,754,228,
253,378,750,735,647,304,471,545,590,302,361,133,272,824,447,349,448,930,522,
825,636,064,624,748,227,818,257,488,869,319,979,145,773,668,984,877,964,494,
075,200,406,649,524,329,519,165,221,506,381,313,851,584,291,510,850,587,069,
644,307,828,357,316,620,258,392,156,954,398,686,696,431,736,469,880,323,048,
145,522,622,296,885,739,178,230,518,899,286,601,011,661,485,330,765,581,255,
308,745,799,507,484,900,038,987,299,610,206,486,188,349,768,467,862,586,275,
452,484,125,717,420,834,493,135,145,034,077,822,352,973,373,041,609,176,148,
446,106,518,333,471,010,558,395,174,112,342,610,185,132,798,052,670,551,105,
472,774,062,834,366,700,937,044,760,524,753,600,759,156,136,142,312,579,217,
193,251,284,349,303,902,936,104,146,724,119,215,111,137,429,394,443,125,228,
694,792,245,895,849,978,711,060,061,618,673,533,125,744,529,831,651,117,581,
468,869,985,073,894,673,934,292,898,005,714,983,991,872,293,594,064,364,050,
256,912,198,125,101,664,751,671,567,208,768,392,727,952,596,736,415,435,131,
468,267,755,374,644,507,935,517,522,355,779,584,618,862,496,775,308,128,445,
524,056,494,514,505,808,669,114,935,361,479,492,870,770,773,174,446,798,424,
528,847,984,951,641,716,592,129,990,673,459,789,875,074,562,345,080,609,696,
806,094,025,143,697,295,091,464,965,420,621,767,290,877,751,320,996,005,887,
703,974,173,408,297,673,705,784,137,560,205,189,730,177,162,971,126,807,525,
188,840,558,287,526,093,938,965,380,782,372,249,067,301,655,639,057,581,948,
261,428,911,286,434,999,675,890,334,048,823,548,185,061,795,124,250,007,892,
815,376,637,400,715,260,046,042,158,562,029,665,081,329,486,239,583,877,694,
127,127,080,063,552,734,185,859,641,508,851,739,667,347,909,028,364,097,023,
084,920,304,892,418,576,306,575,724,740,758,917,043,091,849,089,152,290,009,
972,057,547,384,242,978,879,734,824,856,712,697,550,495,858,821,904,471,622,
752,001,846,865,723,632,548,529,631,798,563,082,113,832,953,684,960,964,715,
509,187,045,732,472,620,156,569,576,456,389,514,658,565,778,316,842,667,554,
879,888,304,638,743,247,469,197,519,431,287,572,515,727,826,368,770,886,605,
594,560,304,030,831,996,121,347,410,415,474,910,121,505,983,962,004,622,857,
731,872,307,578,867,863,556,119,353,593,723,733,517,131,279,482,170,494,177,
680,466,827,991,968,024,006,404,637,472,300,405,095,738,626,525,802,084,181,
757,291,836,721,208,763,955,349,629,486,959,854,799,225,629,892,130,926,303,
927,944,476,247,445,863,295,688,894,639,138,914,296,007,911,244,494,294,438,
570,258,290,927,586,976,160,724,232,094,044,759,861,329,555,338,631,686,215,
623,823,706,934,219,822,452,936,611,530,286,488,448,933,540,149,946,309,546,
855,875,518,313,849,786,732,459,967,794,954,526,699,897,077,219,438,836,582,
472,157,739,789,457,260,437,914,268,944,368,022,812,585,160,280,119,172,638,
169,710,060,892,660,785,217,004,157,073,636,808,703,202,100,768,281,210,260,
977,180,780,525,861,912,343,095,480,909,524,318,095,412,962,733,401,482,354,
497,151,739,580,714,502,086,855,938,774,691,939,750,371,581,788,042,053,466,
234,621,511,200,126,648,608,367,981,332,909,355,873,688,076,885,289,551,483,
029,302,866,371,381,572,114,766,279,061,552,454,793,430,809,808,727,509,743,
600,684,881,412,573,443,076,459,299,363,732,421,173,774,445,158,889,534,338,
671,839,353,495,700,538,566,217,753,394,896,855,152,287,042,722,257,696,838,
022,094,034,336,613,415,331,986,120,833,406,798,280,409,986,387,561,990,586,
107,559,212,757,613,338,337,286,687,784,353,276,961,892,565,057,418,436,861,
985,199,092,304,395,786,736,191,630,791,739,595,151,240,343,263,946,994,219,
904,409,303,560,975,795,558,662,505,785,726,972,327,131,226,468,269,741,415,
284,015,037,186,345,284,004,134,584,407,585,008,220,893,476,440,342,043,625,
359,840,645,213,201,610,513,841,465,096,438,691,394,327,322,935,804,752,613,
538,959,370,250,597,223,950,660,602,204,259,741,780,454,141,139,315,912,091,
954,849,147,947,064,285,174,636,310,321,989,527,735,294,987,172,708,338,999,
488,985,698,666,959,708,774,863,669,100,993,690,245,353,115,899,009,524,358,
643,056,292,169,487,074,035,227,209,004,094,750,215,856,955,854,489,907,659,
806,107,569,202,240,316,817,072,900,827,627,452,998,188,803,483,357,239,829,
029,105,268,917,943,842,609,973,622,892,004,472,693,451,228,211,232,906,244,
905,319,606,282,374,566,362,001,926,346,699,270,441,842,456,340,513,284,229,
087,636,219,920,727,579,569,282,346,796,431,175,413,752,502,971,791,098,444,
404,171,580,459,674,026,670,552,358,530,367,743,237,251,064,479,256,790,987,
016,752,884,591,594,938,637,130,659,695,207,601,492,122,281,051,624,867,737,
090,076,758,561,203,349,283,577,280,225,201,993,994,428,217,678,327,420,128,
934,966,773,520,346,882,558,491,739,217,511,401,496,347,551,223,175,593,193,
426,723,791,148,969,113,294,538,386,679,675,723,947,873,405,054,748,222,549,
260,311,613,483,407,651,546,752,477,704,358,128,885,016,600,981,385,194,430,
248,750,257,106,452,691,336,252,705,114,869,396,822,589,206,889,808,536,178,
885,323,479,468,670,613,923,954,069,505,232,960,812,245,665,289,440,879,873,
108,780,738,019,241,411,680,883,208,163,596,600,273,237,375,248,254,675,953,
172,177,741,296,470,324,210,441,967,832,647,582,929,514,872,861,603,481,997,
474,471,862,712,535,344,390,695,648,214,500,590,834,126,588,357,733,869,487,
260,928,898,692,443,714,777,154,205,031,708,708,016,547,574,711,847,971,697,
772,726,063,719,490,319,012,627,884,851,279,889,418,176,500,387,933,749,274,
079,915,983,371,553,790,138,194,753,774,011,580,690,602,939,673,605,490,015,
176,072,419,014,416,062,445,150,473,002,586,599,714,565,442,456,493,534,979,
642,511,875,848,959,575,569,660,314,134,306,521,434,287,536,374,530,082,450,
149,014,548,771,208,761,518,920,794,333,963,411,533,611,411,720,090,187,848,
157,732,201,465,308,542,650,562,102,469,050,035,443,360,886,580,886,809,646,
545,180,140,592,337,787,571,192,175,279,882,611,543,031,870,805,902,071,336,
889,910,383,295,097,203,058,676,124,399,623,431,113,596,224,233,257,262,272,
777,784,251,424,290,215,802,600,226,809,839,032,076,186,299,915,976,579,956,
137,287,409,518,271,142,664,803,363,224,591,072,887,784,926,325,331,550,849,
950,443,501,673,489,714,419,575,042,727,346,526,853,395,774,665,797,439,909,
237,111,959,971,689,286,216,853,214,144,208,297,819,877,528,965,621,145,476,
375,185,880,662,728,802,907,267,783,689,503,395,036,955,699,625,825,805,700,
785,676,088,523,387,568,736,126,280,443,839,726,435,077,784,180,092,901,864,
295,252,009,103,336,728,532,228,162,750,737,579,822,501,704,595,191,654,193,
807,351,855,094,902,636,466,175,800,488,629,662,944,598,469,409,491,047,734,
298,770,911,591,926,787,647,723,445,414,219,578,818,032,313,951,332,647,113,
563,819,621,651,807,612,223,221,847,049,665,292,692,918,191,895,075,222,453,
483,108,911,605,199,116,830,247,264,261,553,966,764,319,059,542,699,578,080,
844,080,582,522,622,183,371,541,057,914,154,707,622,283,584,283,241,232,999,
138,438,362,186,996,383,684,636,941,970,666,476,250,538,152,237,967,169,373,
246,568,447,110,103,857,459,193,584,859,705,331,586,208,184,545,814,999,799,
589,205,325,246,934,044,673,752,291,288,404,077,223,661,453,197,798,121,090,
836,233,304,855,411,277,023,210,431,814,010,702,567,195,747,881,025,784,008,
853,916,607,135,783,610,384,955,703,087,986,430,942,168,036,168,511,561,038,
934,165,755,438,612,721,131,473,502,449,059,678,898,619,906,561,979,036,166,
798,338,151,119,409,226,986,302,866,959,500,705,679,334,995,217,464,249,793,
234,299,984,677,437,388,794,212,732,766,410,591,285,277,358,252,225,347,110,
801,664,425,851,551,862,140,626,887,414,215,668,064,683,868,563,591,220,948,
128,645,343,620,064,672,435,858,219,576,735,368,181,156,258,558,443,207,042,
188,465,895,601,970,202,274,852,515,878,390,542,217,822,542,020,039,301,909,
198,173,662,998,482,993,629,677,430,120,464,734,131,601,893,685,034,759,565,
428,273,863,736,816,206,518,471,790,075,554,425,207,356,035,066,889,942,608,
379,935,233,569,063,430,393,244,357,485,561,505,777,794,412,300,500,106,501,
471,037,757,504,398,930,018,492,937,459,609,705,047,501,587,316,667,261,074,
835,524,594,558,421,748,974,942,928,284,465,463,776,294,828,719,480,144,459,
912,280,339,208,462,911,478,926,406,274,314,420,792,197,653,651,033,486,838,
202,051,300,137,064,675,680,241,270,448,441,330,499,134,522,301,726,869,830,
365,539,209,570,329,391,022,328,066,361,065,237,041,081,729,472,114,749,209,
940,755,199,976,992,417,564,863,990,630,213,469,243,485,413,879,528,324,041,
080,609,064,327,544,242,605,950,926,312,255,201,369,335,791,457,088,286,526,
723,342,823,526,852,186,384,601,861,077,178,708,152,105,147,550,216,859,832,
031,057,573,311,507,726,950,246,759,324,923,263,751,090,186,847,286,508,803,
629,004,013,423,757,685,924,793,796,666,609,598,098,741,778,941,006,101,176,
369,524,839,846,447,658,777,833,460,511,160,397,418,185,028,137,071,881,489,
521,001,661,121,632,607,131,800,574,703,977,234,032,465,593,375,569,202,382,
344,047,659,147,820,124,230,101,235,879,597,101,465,467,241,609,835,068,841,
118,962,213,152,771,862,417,334,213,145,776,242,472,011,888,803,151,234,288,
995,834,788,898,677,492,851,322,066,946,729,848,945,399,927,678,406,585,139,
721,034,373,009,983,295,408,732,800,618,313,296,753,057,389,769,041,243,146,
418,876,188,986,639,034,364,223,552,578,637,520,128,238,850,102,430,904,175,
928,376,692,039,919,540,249,917,155,080,267,561,045,910,845,546,377,554,185,
135,975,033,255,752,669,940,254,785,463,042,910,255,502,150,455,156,022,812,
963,560,219,388,838,445,994,201,823,934,528,785,291,123,481,368,627,500,757,
088,323,303,981,439,361,461,819,921,273,209,645,009,322,171,330,588,474,186,
012,887,188,655,024,764,561,725,585,343,692,606,345,641,681,512,486,534,660,
337,015,717,564,445,411,450,843,175,892,212,297,630,307,589,527,517,453,296,
353,440,877,322,604,062,585,424,675,325,803,506,096,431,317,972,323,386,901,
958,836,148,071,987,358,301,810,426,428,582,317,859,740,463,006,358,118,676,
030,674,623,570,167,868,333,892,840,387,453,837,109,582,311,662,183,379,725,
863,049,397,864,315,658,747,072,166,226,426,462,062,907,737,688,998,062,042,
950,043,447,321,324,253,650,470,916,376,658,942,441,943,413,043,315,309,722,
736,223,466,765,558,157,123,535,079,238,990,802,321,172,862,137,133,023,058,
273,286,013,961,598,717,181,371,911,163,892,393,373,794,193,654,256,923,337,
653,222,069,017,375,825,316,726,179,991,760,147,535,637,272,962,301,691,951,
208,040,850,243,418,413,441,638,299,637,741,337,104,788,740,632,088,578,485,
070,853,172,350,376,468,111,597,131,122,704,765,048,127,250,314,717,598,367,
825,838,545,708,393,779,284,656,500,542,403,279,155,619,605,880,659,941,490,
412,347,402,482,615,074,651,469,092,137,737,589,484,111,147,264,602,446,999,
309,978,987,569,466,047,355,406,148,791,580,365,218,774,851,372,849,436,524,
623,527,015,285,373,986,702,142,959,175,301,125,087,615,984,618,226,916,044,
748,749,932,471,482,466,434,048,124,050,793,460,080,473,518,181,762,456,105,
880,729,419,542,473,073,572,777,749,607,016,767,231,925,089,776,937,184,801,
722,030,935,286,621,074,409,122,929,498,614,367,364,456,219,206,384,300,528,
336,606,310,037,273,164,734,228,301,871,063,143,053,160,107,380,422,189,454,
501,944,582,040,735,106,959,234,893,185,655,519,116,032,541,675,647,450,487,
579,464,360,450,269,699,920,992,645,862,803,989,315,006,786,031,372,888,260,
637,249,250,203,013,978,220,408,027,191,407,647,663,284,562,094,815,810,900,
660,317,512,454,104,782,264,110,108,684,498,755,444,711,547,283,911,227,533,
570,189,857,256,415,140,693,719,227,133,511,280,145,781,594,359,402,593,262,
976,177,066,689,910,509,936,499,454,240,077,106,999,960,215,791,580,724,673,
664,627,496,260,925,231,938,800,348,437,099,174,228,150,644,614,549,634,333,
701,744,054,891,764,082,705,015,008,226,078,003,632,731,033,104,986,087,237,
378,522,403,453,862,377,463,230,863,856,625,865,752,115,477,559,590,337,361,
883,936,012,520,398,844,485,633,725,354,111,922,585,690,280,277,180,079,704,
114,492,020,082,526,031,705,107,386,431,974,053,064,301,790,008,133,272,585,
490,163,105,986,766,417,425,770,089,769,326,661,458,375,642,846,800,936,028,
253,550,351,793,412,880,273,921,754,389,704,694,879,341,433,601,515,687,038,
902,699,248,338,329,967,193,686,031,621,573,697,211,648,746,309,156,916,341,
450,298,796,483,214,180,765,194,916,348,425,339,006,029,712,372,411,225,123,
087,462,773,378,829,363,324,979,782,567,313,926,569,618,190,251,664,188,873,
037,609,024,306,691,245,178,569,184,844,267,713,274,453,479,326,552,633,426,
857,320,351,277,445,541,022,412,329,613,212,470,258,510,602,640,106,049,854,
318,328,451,611,621,509,797,577,131,898,839,967,959,972,597,656,775,518,327,
684,251,639,076,955,952,732,380,771,398,122,706,811,971,832,541,732,122,923,
991,665,442,914,861,108,926,946,724,208,569,819,640,034,097,145,101,888,848,
490,564,306,535,013,384,666,582,925,541,559,626,546,612,582,859,257,019,583,
496,145,079,516,175,999,294,729,309,378,732,667,786,114,901,232,697,288,728,
193,271,233,394,653,224,407,348,579,432,977,749,326,556,926,135,072,753,617,
965,274,723,887,342,558,934,913,400,705,301,927,096,124,590,089,749,897,152,
763,282,582,996,283,751,651,842,498,726,851,841,146,136,530,746,188,567,085,
319,118,160,358,715,921,251,918,625,974,433,400,220,529,524,285,115,743,639,
517,297,325,883,355,129,508,322,065,651,745,597,484,545,149,863,436,246,766,
266,950,559,333,646,091,767,064,598,401,786,403,421,511,550,136,793,464,076,
149,446,210,287,511,184,993,165,997,709,228,815,847,002,020,720,475,988,029,
575,413,185,952,910,255,936,827,173,989,792,746,657,759,533,897,828,412,856,
981,317,666,210,376,556,153,588,352,090,072,884,529,415,867,335,624,981,596,
359,748,313,769,536,929,952,669,840,961,459,532,083,393,194,760,500,913,964,
466,009,997,871,103,183,593,539,616,889,495,276,280,075,774,662,495,759,911,
808,804,519,524,318,417,531,015,530,539,640,212,012,020,983,715,836,060,423,
096,628,873,831,721,517,531,555,028,167,521,594,664,066,507,047,122,548,855,
163,796,562,720,760,595,508,744,584,920,158,278,095,751,768,053,409,915,355,
418,952,037,854,430,701,534,890,346,464,158,423,455,969,540,564,435,868,338,
718,961,729,100,632,526,066,160,782,958,312,530,148,068,337,411,515,561,181,
361,108,188,730,677,378,308,134,217,518,989,693,832,071,142,166,141,872,358,
380,304,508,856,959,471,371,539,461,815,066,743,565,251,390,813,760,659,464,
157,125,301,465,924,487,800,873,014,339,599,116,640,562,609,446,659,030,975,
755,794,445,409,461,203,338,696,691,319,805,805,305,116,824,017,297,654,847,
658,270,782,638,521,758,873,243,750,594,585,234,448,346,549,796,018,287,075,
350,384,997,604,833,236,000,006,853,181,434,879,245,776,301,813,846,167,820,
336,769,013,268,816,601,499,296,515,008,439,813,902,604,324,757,071,539,069,
198,526,242,154,686,464,032,970,078,736,199,063,287,107,472,958,014,729,094,
043,993,463,896,950,153,457,057,749,882,210,532,701,059,643,299,462,692,535,
031,491,987,480,558,393,033,578,795,346,116,001,662,003,402,167,928,561,429,
864,765,812,691,598,654,414,074,589,492,926,739,669,372,835,757,284,549,701,
088,186,112,463,567,664,195,758,552,883,608,506,285,571,130,074,425,204,251,
396,726,908,267,158,722,505,580,296,303,860,062,939,291,131,867,778,372,661,
994,210,566,561,211,117,784,013,501,142,903,308,366,413,894,152,797,606,327,
684,850,635,119,103,289,353,195,704,030,024,705,297,939,181,908,028,102,166,
650,172,216,911,195,261,965,354,717,257,200,244,490,817,134,418,707,277,630,
288,018,069,733,658,167,819,508,147,723,050,237,356,153,161,007,463,932,834,
420,240,976,896,689,205,661,404,527,174,817,073,572,815,237,549,735,550,817,
402,751,935,304,275,203,060,363,449,145,575,038,726,434,343,760,919,456,920,
196,806,963,051,400,769,475,280,271,846,503,791,782,466,240,262,411,256,378,
796,034,649,215,864,678,198,801,865,551,193,918,518,210,658,110,008,592,238,
569,996,814,706,122,893,538,886,589,225,594,176,927,905,631,103,691,201,169,
300,755,226,884,324,982,151,432,492,954,958,623,019,963,780,427,031,839,666,
537,651,797,216,832,216,460,146,836,857,650,264,793,480,905,765,681,704,721,
754,605,931,374,572,482,047,197,274,572,057,378,036,049,882,519,689,400,968,
622,276,887,240,092,615,178,632,872,507,969,601,301,106,443,961,958,940,151,
054,752,217,971,513,898,227,789,755,158,764,502,226,091,769,561,918,624,182,
214,870,887,920,341,702,540,558,177,040,181,335,760,731,882,823,481,774,798,
305,823,520,280,552,592,000,809,722,419,530,252,503,368,000,794,610,790,693,
925,867,601,542,502,038,079,686,936,381,009,828,485,018,420,223,685,846,249,
166,671,210,903,808,931,065,601,139,707,006,734,309,973,015,567,696,691,092,
052,255,221,383,490,245,068,121,982,030,087,890,438,572,652,006,211,461,730,
202,039,066,084,275,162,573,662,677,216,040,721,303,734,660,557,838,612,703,
211,232,586,952,811,649,597,218,559,582,741,657,567,438,064,959,985,919,250,
988,937,199,672,681,502,378,494,646,316,319,278,673,717,563,694,966,780,021,
033,683,052,662,161,643,010,016,309,129,985,848,822,216,754,641,260,513,356,
496,457,964,877,623,237,566,556,029,023,216,046,963,648,455,215,129,170,921,
839,888,400,314,614,562,993,979,391,622,383,685,920,419,354,574,245,976,329,
617,358,319,778,170,455,420,833,382,533,325,672,195,250,905,780,406,195,638,
250,363,273,827,630,495,179,060,948,806,132,362,372,267,215,675,249,587,057,
191,283,842,679,085,668,734,421,205,999,383,071,927,224,502,504,393,582,044,
329,512,319,560,686,759,841,719,264,849,037,701,594,693,715,377,952,481,481,
980,949,716,343,237,619,722,086,118,303,004,553,123,405,554,862,219,329,921,
454,910,456,403,583,983,532,686,951,049,432,522,607,634,064,453,260,984,289,
024,812,960,135,086,868,368,414,974,617,533,617,315,113,155,195,004,239,950,
997,642,221,834,066,013,011,570,763,664,082,247,764,568,425,861,886,170,426,
599,034,368,137,499,130,702,166,617,295,356,857,134,304,804,348,066,097,888,
984,891,764,023,593,148,965,920,471,126,892,333,523,293,619,723,172,490,904,
206,138,555,432,446,451,726,319,848,561,573,485,067,831,803,013,328,885,246,
245,262,928,408,368,746,845,095,673,161,431,123,450,304,493,389,956,787,292,
122,321,192,646,091,585,555,628,860,576,223,005,629,622,300,278,610,065,899,
077,440,331,726,533,328,613,175,918,110,011,758,271,039,363,610,985,057,201,
364,180,433,904,375,193,036,610,758,203,312,976,387,431,424,741,103,578,374,
257,265,678,930,095,920,156,406,258,869,391,241,816,617,464,570,462,029,634,
196,185,324,852,238,753,011,919,490,450,975,342,259,569,910,931,091,548,535,
395,045,944,918,276,055,109,928,291,410,328,219,525,719,418,123,686,388,405,
949,175,241,423,058,867,130,518,367,992,213,250,298,030,858,698,772,783,644,
167,029,055,858,212,078,537,974,383,000,806,117,389,428,633,965,064,830,352,
696,541,045,895,246,497,867,449,087,296,515,895,307,926,026,890,719,704,341,
534,244,528,231,198,499,736,916,296,029,781,730,835,581,731,476,819,919,105,
888,172,900,995,094,372,695,844,678,680,262,560,801,523,879,361,150,202,331,
781,646,672,202,329,889,185,690,933,036,763,554,955,628,073,167,712,334,736,
147,111,774,916,166,590,805,481,593,369,688,256,478,591,308,380,883,915,161,
249,735,532,908,685,416,703,886,384,931,044,200,171,730,634,447,495,320,438,
215,208,444,794,533,193,895,078,511,894,567,364,568,965,445,344,098,168,952,
300,680,482,432,730,482,862,861,164,918,579,064,644,376,246,477,139,517,446,
074,230,340,040,045,646,813,383,393,019,643,252,578,264,163,961,432,237,637,
581,370,190,773,196,228,726,852,484,838,271,863,068,715,388,277,732,717,838,
099,571,591,509,185,779,920,259,761,747,089,829,930,648,020,151,868,128,203,
805,906,202,703,652,896,162,444,265,812,381,954,723,641,367,067,388,457,824,
284,747,775,791,253,475,074,400,444,528,495,080,988,400,141,007,510,037,856,
222,786,936,547,264,811,872,668,582,165,872,017,382,303,972,175,573,486,311,
366,045,738,240,407,157,995,592,473,096,335,295,331,323,905,443,597,638,168,
359,433,877,605,095,874,070,274,121,008,827,103,710,485,115,087,094,866,534,
503,754,319,705,425,572,336,668,226,813,120,170,840,284,992,851,850,634,844,
857,733,920,476,767,154,911,858,387,628,801,400,029,745,009,994,649,448,496,
743,051,012,012,855,420,051,516,050,730,275,124,914,768,501,496,515,297,014,
193,387,514,143,015,375,442,780,401,635,586,495,215,350,106,595,968,574,478,
536,075,600,498,476,374,649,967,688,428,344,920,785,029,275,976,118,167,621,
278,152,464,889,069,784,814,679,097,008,354,004,945,575,945,283,189,694,633,
420,996,565,999,127,309,328,831,330,691,220,097,541,272,788,614,160,088,188,
566,853,959,423,198,404,508,378,854,366,865,875,965,303,276,067,217,689,215,
497,985,005,099,105,944,103,821,104,071,147,988,830,092,394,752,331,332,510,
070,579,880,817,830,551,676,979,281,307,136,094,422,406,498,451,336,216,932,
756,045,381,112,524,102,470,219,530,428,600,134,345,245,798,798,069,556,203,
751,354,721,916,018,995,841,241,535,661,876,043,509,077,415,157,202,819,705,
995,389,066,185,759,037,956,173,825,146,588,446,096,045,502,108,316,128,445,
261,202,239,959,505,763,530,677,920,701,656,629,323,621,244,569,775,702,636,
016,816,023,455,476,063,055,445,717,291,219,704,690,491,605,528,722,081,695,
616,598,354,190,618,574,510,612,740,541,641,811,708,246,100,136,427,804,674,
397,329,855,917,547,467,647,945,331,047,066,487,457,850,169,917,019,852,979,
762,897,727,843,288,426,000,393,967,776,591,048,356,171,063,570,587,136,838,
487,425,949,184,594,635,696,661,618,406,118,351,267,177,858,114,739,905,716,
981,943,610,598,413,595,770,371,980,028,227,648,859,182,751,094,030,703,473,
895,067,710,426,836,592,055,943,234,285,423,426,252,948,843,763,884,082,144,
751,762,982,039,837,200,168,535,105,647,731,288,525,660,968,551,348,676,000,
243,318,670,650,822,737,567,037,380,013,008,257,175,148,874,196,944,335,203,
684,834,128,541,857,250,237,927,483,992,647,244,585,490,130,848,821,205,017,
259,799,490,721,270,965,713,371,120,343,351,663,943,205,529,620,161,742,755,
096,454,943,186,175,388,709,278,326,297,667,887,491,223,034,024,364,469,265,
622,200,350,928,916,940,979,982,567,411,967,307,535,315,265,888,700,825,977,
759,168,444,948,029,789,879,004,329,247,174,781,934,488,984,697,365,440,667,
652,049,872,610,461,057,112,455,226,525,321,787,898,479,719,502,601,821,458,
717,356,263,564,086,198,805,336,292,267,554,099,660,949,208,311,639,427,949,
180,055,299,230,264,558,114,012,995,484,419,955,743,206,902,908,929,340,882,
936,374,499,839,462,369,871,874,615,402,960,322,819,439,563,800,464,831,982,
574,168,570,870,619,101,052,168,126,247,950,962,615,463,747,819,484,016,568,
839,064,307,289,247,443,232,917,821,964,726,739,020,431,953,519,294,292,063,
318,068,760,851,072,625,430,066,391,158,310,292,770,939,786,848,250,095,952,
856,814,340,836,504,846,874,752,784,480,071,325,635,102,578,594,145,554,004,
437,462,419,443,212,795,164,209,621,680,347,641,565,237,718,561,814,314,897,
397,909,941,656,514,014,140,903,272,706,732,030,633,546,533,189,399,532,914,
429,695,801,514,937,951,700,980,021,727,482,669,820,998,684,336,908,268,691,
277,985,942,639,591,022,435,201,121,317,378,576,278,491,014,751,443,162,694,
659,943,123,783,572,742,767,335,935,015,895,655,230,443,961,368,191,096,431,
279,759,191,380,857,358,421,742,020,136,282,971,922,488,691,631,958,085,423,
247,644,501,365,342,151,985,199,428,893,699,122,329,108,289,043,246,238,351,
920,658,837,165,066,685,580,564,430,148,410,757,214,624,711,949,653,785,650,
591,383,452,455,293,802,987,830,140,839,143,751,437,298,790,207,954,473,051,
907,509,855,932,987,004,035,489,781,579,981,215,959,405,095,654,220,204,229,
131,638,103,918,777,572,719,996,643,255,721,645,824,528,057,095,420,737,109,
995,438,342,235,232,781,674,336,267,614,108,413,654,922,473,808,673,102,128,
950,537,731,345,846,517,149,595,964,359,269,203,630,827,419,147,598,512,538,
718,592,485,736,636,948,400,040,813,757,202,023,479,893,152,595,415,679,475,
220,240,064,138,886,069,429,852,237,268,523,022,397,930,286,837,476,256,635,
412,955,521,782,582,851,597,499,793,393,044,307,254,282,511,901,465,727,523,
536,080,151,288,651,934,929,679,403,952,288,106,298,514,587,262,255,263,716,
139,901,969,805,514,397,122,871,085,532,099,949,382,103,652,798,311,071,823,
043,381,282,851,254,125,916,793,235,860,287,145,411,353,039,363,466,419,685,
933,318,115,478,038,462,439,634,898,089,706,007,700,440,246,260,385,486,829,
349,454,833,943,930,142,473,331,316,801,889,571,593,543,480,239,964,089,735,
725,401,757,298,654,575,044,155,566,268,906,029,816,539,400,293,031,794,732,
751,292,867,063,332,382,029,287,848,114,274,355,363,847,729,915,414,556,626,
172,367,164,554,150,785,568,765,447,392,124,788,021,051,977,244,124,799,825,
521,145,466,142,194,835,452,634,951,163,818,533,233,016,502,001,061,673,349,
040,967,137,757,079,378,348,788,526,594,915,216,054,491,495,250,485,231,366,
591,842,275,204,277,867,397,535,428,784,041,449,091,344,141,729,719,456,879,
435,742,779,056,131,144,241,689,225,386,267,077,921,022,880,638,234,782,222,
670,291,367,428,972,866,742,924,529,719,493,339,581,480,480,813,049,681,888,
107,145,588,173,963,414,506,626,900,729,303,571,440,177,497,796,606,516,127,
983,863,484,837,717,504,891,993,421,496,738,974,158,866,724,701,626,497,433,
038,713,146,872,754,271,877,297,744,749,412,312,550,005,077,267,735,816,717,
128,619,066,459,780,219,864,335,858,168,032,919,823,671,975,053,784,234,807,
585,167,277,637,798,137,210,407,680,725,860,656,267,296,960,755,296,022,151,
605,052,609,134,107,821,835,641,592,421,141,870,737,304,093,976,460,982,183,
974,120,848,573,013,250,927,294,512,088,811,414,406,956,533,195,994,873,730,
482,921,547,652,544,853,014,097,729,246,157,983,268,521,874,764,224,502,509,
110,206,564,421,654,128,115,318,741,016,045,160,756,117,591,838,226,724,949,
904,164,914,642,093,348,833,490,607,158,162,676,485,142,136,226,456,179,908,
654,817,574,420,688,154,689,830,259,586,397,890,542,702,691,884,596,209,181,
113,016,603,045,806,102,974,099,172,191,985,423,208,433,353,379,091,867,143,
648,894,695,439,280,442,608,652,167,378,375,618,618,872,636,651,765,260,257,
267,912,502,429,654,351,152,306,499,353,809,526,848,045,260,981,573,703,101,
161,049,399,688,553,339,274,470,282,861,678,211,964,638,508,923,586,262,151,
770,136,441,786,621,361,677,696,872,791,086,100,605,787,628,315,048,582,030,
451,990,450,350,499,671,506,995,808,172,312,264,875,375,963,351,251,132,532,
402,581,979,970,949,980,313,879,445,551,434,984,253,382,745,808,719,247,516,
512,174,954,505,466,305,715,066,909,851,041,822,681,813,536,225,025,597,600,
360,958,386,824,437,095,163,421,829,341,375,874,298,877,292,487,300,006,605,
884,470,254,738,966,994,065,449,185,924,387,633,250,738,808,643,885,888,363,
777,110,869,284,262,880,190,187,400,163,965,152,120,318,673,582,516,165,823,
622,379,582,465,326,852,949,566,398,172,854,813,158,634,538,598,728,888,064,
170,655,376,291,390,915,058,036,215,085,527,752,721,856,494,073,373,147,807,
481,667,783,056,063,284,437,544,950,718,236,507,557,640,543,879,179,646,023,
815,681,139,421,294,277,599,325,480,899,054,661,587,681,894,065,428,248,379,
443,029,624,221,808,259,275,282,322,016,014,056,579,985,769,993,597,525,438,
351,699,085,375,826,140,178,361,553,940,159,759,975,816,626,492,359,380,966,
972,632,588,980,105,566,695,101,696,136,247,658,366,535,644,765,993,219,645,
626,217,589,354,216,958,912,190,735,754,732,478,178,558,911,117,400,211,768,
973,260,981,778,446,034,982,016,675,587,101,529,543,751,872,118,910,744,537,
730,702,496,380,309,566,096,912,442,615,351,878,024,686,494,561,010,469,288,
550,510,827,939,009,966,476,850,673,876,991,970,520,249,777,317,049,265,849,
707,363,621,177,040,312,044,680,635,295,541,039,211,651,804,759,407,063,742,
979,601,538,708,829,089,017,038,778,653,302,316,779,118,926,294,674,299,290,
958,108,207,919,274,050,800,247,908,949,262,698,854,697,643,638,322,644,364,
291,006,185,019,149,241,267,553,045,593,474,808,868,886,457,398,757,563,192,
194,694,560,012,880,671,989,409,992,328,940,370,823,224,530,429,403,645,447,
940,589,019,993,899,735,220,401,650,333,809,011,705,228,986,177,288,002,225,
644,318,394,891,101,638,751,225,275,874,995,037,671,821,593,227,434,003,938,
569,184,756,176,229,868,091,879,054,398,196,630,366,730,001,482,480,021,040,
038,855,342,800,253,229,760,801,440,212,131,190,358,629,233,237,076,388,647,
180,067,066,611,539,251,530,188,291,052,180,414,688,845,670,225,198,310,545,
417,138,612,303,314,502,554,472,223,441,855,479,878,274,212,326,041,631,352,
489,402,795,624,185,503,068,397,416,744,897,932,880,621,332,256,038,306,270,
522,923,503,117,188,448,992,615,100,090,767,666,861,259,235,171,935,207,387,
544,532,783,305,039,394,583,730,754,787,349,675,325,463,444,797,118,596,496,
310,920,552,431,794,810,500,130,868,641,938,724,198,716,790,923,013,181,480,
559,421,094,623,702,136,163,663,155,655,213,986,697,177,332,737,254,308,754,
706,313,014,010,603,535,172,001,896,621,314,312,856,641,586,872,848,305,883,
390,892,257,531,606,852,217,283,522,944,885,990,951,929,808,643,809,410,894,
090,662,435,704,166,081,412,499,107,976,244,964,596,815,919,491,433,872,185,
259,480,293,276,623,986,474,403,820,228,514,452,638,867,053,422,991,919,091,
527,615,424,071,066,224,944,558,893,509,054,888,661,369,833,264,625,189,524,
527,114,630,440,678,778,998,276,512,813,722,671,585,102,333,300,870,199,445,
328,736,981,579,878,306,359,407,675,125,112,237,067,973,433,396,036,493,042,
445,716,387,849,273,616,856,027,219,609,028,857,249,672,621,116,443,913,939,
211,319,181,217,462,298,335,601,238,853,447,722,902,300,802,943,959,264,106,
687,393,906,339,245,036,357,356,286,267,902,519,039,200,516,690,162,545,005,
347,466,406,454,728,132,450,215,073,414,006,515,731,708,139,367,586,568,435,
531,411,662,737,250,537,098,138,443,704,258,128,231,851,092,216,353,315,558,
036,084,331,272,437,107,934,592,173,201,078,270,382,799,352,810,943,313,234,
443,875,929,308,364,972,632,498,467,739,334,567,617,283,812,363,088,491,759,
226,982,650,729,194,433,745,961,672,722,561,360,631,828,239,779,809,632,559,
568,737,099,179,400,834,555,251,015,494,313,471,638,812,728,983,685,592,521,
928,351,719,377,903,174,526,279,758,382,569,021,914,944,482,920,794,157,819,
606,616,451,514,909,252,265,026,699,477,812,985,747,899,508,392,136,235,676,
520,493,089,463,478,209,793,928,013,755,210,997,519,902,868,671,013,826,067,
176,491,026,693,071,188,717,007,137,969,198,803,316,421,310,340,610,582,932,
744,090,560,512,147,057,958,331,447,616,085,800,936,073,412,190,222,975,048,
020,216,464,302,945,530,009,111,715,329,663,467,401,102,983,666,899,149,716,
389,269,620,255,436,756,675,072,318,886,169,596,108,811,120,631,734,154,479,
915,767,932,153,420,567,446,867,979,624,233,612,402,062,665,633,816,427,898,
047,215,163,230,962,926,299,344,886,835,787,987,995,204,054,169,803,541,401,
641,355,056,206,470,753,369,357,046,237,192,703,881,646,969,353,296,599,713,
074,926,209,181,370,595,073,716,848,608,440,830,752,237,617,911,504,266,041,
299,034,280,180,335,739,614,316,731,870,415,398,464,217,891,121,540,764,038,
580,659,369,256,873,761,868,307,934,619,058,003,754,367,077,382,738,095,518,
874,364,925,707,670,642,526,008,252,733,245,010,480,300,115,469,252,652,345,
994,144,155,770,094,119,666,417,592,132,710,450,226,619,465,031,454,858,349,
590,825,296,176,024,444,674,517,332,097,008,290,645,921,168,523,629,077,800,
446,658,309,000,846,124,952,491,299,006,960,927,258,786,347,908,994,214,281,
915,963,913,807,972,022,979,749,302,478,227,769,767,798,229,312,896,806,571,
679,795,650,240,590,291,269,909,636,806,246,317,036,292,565,936,502,915,339,
638,877,973,969,233,482,166,790,260,942,491,626,583,357,676,288,127,744,938,
806,297,527,112,356,436,636,528,967,360,762,365,548,258,593,744,254,193,475,
166,799,095,378,286,617,473,609,874,361,544,387,212,244,465,795,359,940,478,
388,464,448,794,016,033,445,334,765,681,524,976,409,909,553,551,627,471,781,
097,603,517,232,492,022,631,471,133,019,103,428,933,132,270,870,499,869,909,
671,142,475,496,486,522,526,117,824,013,788,115,970,506,483,818,571,227,286,
176,257,533,010,611,596,072,770,844,776,388,709,761,488,111,587,494,635,134,
511,201,728,449,429,061,897,279,552,695,800,278,498,799,457,926,500,152,509,
442,857,009,291,978,066,086,913,892,484,869,768,237,803,589,888,031,499,700,
675,479,084,150,919,325,900,777,015,010,745,104,028,223,162,982,237,421,681,
327,338,718,439,426,299,114,111,928,503,875,285,558,269,681,661,108,918,532,
232,632,302,091,476,401,755,820,749,984,160,667,372,848,182,751,310,391,756,
423,436,350,103,561,072,876,284,651,276,000,648,407,478,363,922,319,701,738,
348,449,575,560,876,587,731,100,232,421,594,681,766,899,836,738,041,400,729,
345,239,771,938,011,334,119,900,977,512,742,237,274,620,919,352,174,906,664,
550,457,541,572,658,606,311,778,021,433,995,027,021,445,807,456,093,052,125,
306,963,966,692,714,074,759,077,988,278,538,482,503,722,154,782,700,585,793,
765,321,992,481,684,431,292,222,500,798,813,235,595,772,099,092,970,106,334,
025,086,143,749,714,836,067,764,791,367,065,500,369,074,119,124,679,008,348,
037,975,105,185,800,314,854,494,185,669,871,793,556,986,726,196,928,805,401,
551,804,084,774,038,285,867,788,880,876,214,530,275,202,145,088,511,831,176,
341,282,214,700,802,949,713,049,043,689,000,005,815,710,972,817,071,004,321,
126,534,842,830,161,701,626,624,041,020,394,698,946,288,998,890,078,833,103,
417,914,552,548,813,054,223,166,728,429,412,615,152,383,503,487,819,449,859,
867,630,270,288,841,805,101,473,349,423,238,293,675,249,418,796,170,442,689,
108,636,830,240,940,242,125,812,377,016,941,448,464,402,429,879,755,005,793,
246,805,103,064,417,236,261,998,306,785,555,522,665,659,193,297,877,508,883,
457,998,658,574,083,120,752,454,517,852,354,782,443,762,624,869,263,776,445,
379,644,752,669,474,799,142,541,762,873,767,674,396,011,705,497,934,528,756,
213,394,900,744,192,660,469,268,822,046,386,274,358,801,834,502,793,338,414,
104,545,143,758,002,978,635,229,800,033,230,531,836,579,137,489,041,562,067,
948,634,216,103,554,062,476,893,365,578,845,868,867,636,466,066,060,232,477,
681,859,414,722,273,103,041,762,953,077,067,882,947,519,718,701,028,542,245,
408,345,700,035,836,243,204,365,485,658,883,291,674,367,174,735,745,781,906,
622,666,233,740,984,040,660,868,762,488,717,347,003,708,759,838,152,358,507,
620,408,476,973,394,642,210,691,337,789,726,996,142,000,496,680,537,195,027,
774,264,860,743,087,930,311,296,063,449,649,325,692,528,003,317,120,595,970,
376,524,030,923,463,258,790,473,481,262,552,930,965,264,506,570,260,712,927,
841,624,534,620,767,678,712,077,318,272,178,120,031,311,171,382,092,171,189,
728,905,390,675,508,973,463,195,290,730,689,198,473,680,054,114,849,845,636,
315,666,059,579,888,472,851,191,101,141,737,976,074,314,216,337,120,443,308,
382,800,247,505,742,398,360,538,516,511,761,089,428,587,698,978,053,854,093,
719,905,773,165,277,228,744,221,349,329,309,645,239,109,916,276,770,973,233,
799,453,103,774,615,527,446,148,470,536,113,209,270,591,809,557,851,216,795,
338,774,820,932,118,262,415,132,381,400,611,476,573,591,154,118,713,825,489,
162,886,275,930,777,540,960,950,473,560,252,417,858,199,731,150,951,350,060,
614,732,775,267,193,393,612,820,399,414,866,640,842,667,421,370,365,645,488,
639,844,022,494,800,419,660,963,198,557,198,575,127,679,366,883,482,228,132,
819,034,786,505,039,594,894,632,023,581,265,245,962,540,802,398,074,457,675,
670,682,042,931,949,246,135,855,424,634,602,252,837,086,591,764,616,842,291,
578,727,615,104,551,976,053,335,057,012,365,897,679,008,723,920,074,356,031,
797,930,975,884,617,305,632,544,154,232,726,325,773,117,358,483,613,015,453,
000,534,940,649,045,200,006,238,426,906,905,343,792,221,117,018,123,486,086,
907,576,924,349,221,914,578,510,039,314,112,873,346,564,412,636,553,606,564,
114,508,578,561,144,083,290,824,030,605,897,309,230,726,726,309,948,405,234,
083,016,166,589,830,382,240,134,471,649,089,269,369,759,673,410,890,870,006,
769,396,199,229,294,597,936,334,552,101,479,882,066,448,722,826,127,120,335,
002,300,549,736,430,940,931,085,082,161,954,491,646,665,272,182,405,492,795,
594,995,840,546,089,955,158,543,182,426,064,284,524,228,989,484,969,306,547,
413,742,627,852,717,963,019,897,499,962,693,435,843,185,646,774,594,214,716,
570,527,844,444,509,389,268,861,240,492,815,186,976,933,414,217,756,982,993,
484,123,625,141,468,151,002,629,719,455,640,893,997,728,779,790,823,911,205,
611,978,319,093,065,752,607,217,855,468,408,441,772,047,177,739,076,644,543,
209,523,412,710,080,505,130,241,567,524,585,574,552,534,411,455,767,246,244,
893,490,813,146,508,268,105,491,413,913,071,560,572,622,263,977,550,136,212,
658,911,251,351,042,924,611,416,638,590,095,952,025,084,192,815,509,542,686,
461,767,327,495,439,201,846,747,637,457,556,786,382,524,022,410,242,356,526,
707,030,483,785,496,113,651,893,228,057,955,435,878,750,009,042,842,082,378,
054,082,176,226,056,099,090,903,774,044,527,503,271,893,432,742,718,093,127,
854,417,793,822,090,236,754,982,100,118,559,111,072,013,075,032,614,401,753,
517,006,249,003,097,601,215,934,273,368,006,172,970,643,193,365,230,552,821,
896,724,683,834,098,289,514,030,753,705,146,783,168,030,435,656,464,078,151,
954,947,594,393,633,048,095,484,067,186,019,185,737,191,246,361,360,535,857,
226,493,922,331,582,869,357,896,649,452,139,944,282,535,814,733,590,499,610,
523,133,942,879,330,874,073,566,318,497,305,199,282,822,820,856,775,962,926,
545,938,413,173,243,426,311,416,359,914,702,604,641,902,041,556,910,844,034,
678,366,444,634,856,900,724,599,772,536,877,927,632,397,394,054,932,248,594,
532,942,856,679,719,295,615,502,269,913,412,482,979,309,080,372,783,469,063,
547,767,236,160,778,547,992,291,105,756,042,606,060,724,896,293,932,934,430,
511,588,429,877,277,393,403,230,955,088,847,536,887,144,843,945,542,937,992,
227,271,360,050,705,142,000,565,445,871,141,235,234,586,709,271,129,261,080,
612,142,672,907,881,936,504,911,165,421,585,713,252,800,681,136,008,898,273,
269,551,410,085,696,791,227,322,139,378,586,290,770,242,320,261,488,252,684,
293,901,153,718,977,936,879,082,251,571,688,230,408,990,596,232,196,072,745,
659,158,197,732,644,725,160,085,005,753,020,580,632,028,613,953,417,422,256,
950,778,675,441,995,832,796,923,104,976,025,263,798,135,198,582,640,798,507,
954,234,762,549,331,462,284,080,691,273,562,774,191,971,449,632,142,769,243,
003,235,642,675,467,232,986,372,017,456,960,781,390,332,014,532,510,820,458,
188,605,693,952,251,534,442,724,349,448,468,468,734,457,903,931,135,117,424,
500,638,157,656,903,024,911,788,142,372,897,998,523,617,308,034,434,958,071,
425,124,082,579,533,715,791,234,712,830,619,881,147,587,425,909,739,059,376,
069,825,182,850,866,035,913,428,445,237,224,389,502,806,724,180,188,015,585,
274,222,254,928,065,763,255,514,370,539,557,823,176,961,976,617,608,801,613,
549,022,343,227,248,296,791,741,750,330,057,202,693,239,087,376,239,000,646,
945,622,583,708,466,871,239,484,915,072,993,974,553,283,458,977,164,993,040,
844,501,783,890,361,791,691,182,553,079,728,705,278,971,749,597,534,577,858,
530,136,598,367,160,793,678,814,625,780,122,309,606,105,041,784,769,921,758,
494,848,321,275,782,527,743,397,534,301,003,627,648,858,443,858,265,097,590,
376,189,177,215,995,313,662,811,409,596,241,294,269,851,687,548,056,878,467,
666,660,461,747,101,011,203,373,763,723,420,349,868,780,340,761,104,581,002,
585,484,962,743,591,844,293,593,871,188,700,758,534,954,885,309,527,864,359,
131,355,654,028,151,183,433,788,284,584,709,253,858,213,522,420,381,976,943,
084,859,068,830,977,052,630,703,109,468,437,353,278,848,161,289,784,317,216,
115,519,992,852,643,649,326,617,546,224,497,745,694,129,466,904,436,706,943,
579,360,482,189,011,487,543,492,959,069,703,030,906,052,393,048,260,507,603,
556,676,861,984,223,362,498,304,004,412,735,984,137,461,189,599,479,832,948,
519,184,206,813,777,651,637,543,449,047,464,712,810,783,310,104,641,131,247,
240,108,986,637,682,421,123,719,749,517,596,235,456,156,154,578,155,900,315,
580,942,064,002,044,758,424,374,103,333,636,627,184,655,536,360,841,897,503,
724,461,776,441,279,145,756,910,352,993,807,450,881,217,281,834,222,836,924,
480,010,267,845,055,299,384,546,066,654,237,414,867,910,903,119,374,175,549,
110,786,693,066,748,261,120,774,061,645,469,268,318,599,807,541,685,814,189,
982,164,362,675,763,678,973,237,356,418,973,420,690,440,111,273,290,246,746,
756,901,169,089,163,119,368,897,524,392,973,768,733,385,162,516,119,507,671,
042,762,383,958,496,122,678,594,988,705,148,655,562,491,273,067,076,950,436,
201,060,755,853,597,984,813,417,894,153,326,042,465,736,209,190,939,354,227,
527,898,792,033,907,228,198,611,228,620,058,932,263,988,393,988,841,073,269,
515,295,062,662,381,944,484,705,282,664,010,803,579,202,362,736,968,014,398,
000,368,935,815,947,237,097,744,560,618,316,174,290,001,935,084,559,636,030,
015,088,598,021,959,199,396,887,712,719,121,384,702,465,086,979,957,616,477,
576,863,870,041,082,974,973,564,290,426,042,720,690,574,314,950,702,774,705,
923,248,652,804,537,649,656,121,763,240,879,843,619,722,176,062,454,842,940,
144,710,513,259,170,267,483,063,867,205,016,807,305,299,066,201,801,385,825,
303,902,345,886,052,562,356,765,082,819,790,065,639,300,891,624,600,886,326,
776,118,001,334,765,239,443,318,236,044,873,698,369,532,303,944,057,642,918,
342,288,525,196,852,970,690,966,776,012,049,093,461,679,685,089,579,001,173,
982,340,810,953,972,118,605,258,361,408,199,198,920,844,081,829,705,024,016,
960,653,668,779,271,568,255,425,337,028,440,959,846,661,124,368,318,059,882,
181,090,839,435,471,095,281,484,473,832,524,144,845,422,058,190,896,583,797,
609,427,537,764,599,837,975,811,731,487,371,860,709,666,842,884,033,062,002,
268,639,853,408,862,621,969,013,513,882,601,108,160,900,326,142,371,880,741,
305,144,498,119,562,687,937,691,682,309,951,883,762,049,987,641,680,714,009,
275,858,327,989,179,051,657,631,642,917,945,934,186,511,136,804,790,601,523,
902,565,955,336,426,453,446,602,085,401,204,821,794,092,916,326,588,750,343,
239,626,440,487,376,518,175,784,624,101,432,265,215,046,441,446,812,424,842,
578,034,498,159,969,492,774,924,296,978,217,504,819,399,680,849,119,626,912,
759,049,272,963,295,105,766,489,017,181,830,714,533,400,137,118,083,820,218,
593,996,876,693,873,003,605,242,158,231,284,609,486,770,440,585,371,547,642,
312,068,475,142,219,256,459,873,059,061,815,327,584,665,998,635,850,600,981,
565,414,856,499,464,857,025,406,484,509,982,762,420,022,124,320,791,471,747,
114,124,039,756,385,427,358,820,621,852,810,474,649,105,909,949,566,873,144,
933,833,978,702,913,345,771,276,449,251,150,387,555,576,919,747,324,426,676,
676,779,031,430,753,045,686,208,613,241,348,905,617,317,261,032,610,724,420,
272,243,601,755,679,429,638,102,805,740,733,094,427,714,707,724,663,573,497,
354,105,807,126,159,731,479,834,107,504,733,655,212,897,924,994,930,325,586,
511,812,587,360,729,783,061,214,269,061,454,046,915,320,957,691,437,437,446,
294,611,999,925,444,818,134,861,739,958,849,577,679,023,022,530,746,282,911,
453,772,243,793,440,715,737,296,290,295,354,793,032,933,061,913,555,105,511,
962,165,391,093,363,147,698,365,033,621,053,657,554,535,258,192,164,702,490,
692,015,664,521,710,216,314,350,207,891,920,541,876,747,888,951,083,248,922,
151,253,322,501,512,879,715,356,978,559,592,564,564,139,221,963,739,773,597,
821,044,545,053,646,952,337,393,026,444,350,702,420,421,719,802,724,066,337,
766,057,071,744,541,101,261,542,871,201,171,107,538,117,351,015,702,220,183,
737,559,674,621,212,661,349,638,845,830,384,522,209,639,382,741,048,137,540,
795,311,437,317,248,374,659,449,099,315,058,446,593,194,404,088,980,369,048,
585,408,304,624,538,835,363,306,265,081,191,661,948,460,146,484,966,703,195,
093,482,086,281,589,848,702,799,275,897,443,393,331,729,780,526,482,550,996,
465,312,231,360,930,524,388,311,807,987,529,386,299,108,562,281,835,619,407,
937,774,220,644,051,295,162,376,193,505,433,174,732,279,926,971,570,290,396,
259,585,973,617,778,277,980,088,494,733,231,047,987,722,561,605,640,830,049,
531,348,925,177,335,384,064,601,311,952,326,984,999,669,671,931,250,322,713,
524,166,539,864,769,322,054,039,578,504,575,528,308,813,475,810,290,575,219,
454,016,848,909,543,794,117,451,543,031,982,539,574,130,712,756,715,126,227,
265,394,896,989,366,231,041,431,611,822,337,109,149,777,873,803,535,155,427,
163,808,519,830,240,855,639,172,268,231,212,692,028,159,917,552,844,179,544,
033,722,595,647,244,170,200,878,431,224,004,733,964,068,326,955,211,513,001,
709,313,528,512,160,091,615,822,813,483,911,065,651,818,992,796,575,876,576,
225,815,205,347,237,023,825,078,779,508,434,119,351,739,396,424,790,413,136,
738,530,376,050,224,760,264,261,679,736,727,765,445,529,082,014,603,748,827,
471,022,032,906,196,969,479,247,637,916,729,724,982,187,620,699,345,713,704,
761,456,206,650,729,268,400,985,743,098,878,296,970,339,531,546,854,787,852,
293,026,957,254,152,595,340,255,734,742,664,418,046,990,258,486,405,640,288,
232,681,154,640,409,626,586,526,462,309,874,869,449,171,199,123,732,274,314,
551,524,294,650,178,369,009,548,357,197,664,902,197,660,660,146,338,370,223,
039,107,464,598,279,331,762,813,614,510,319,533,317,642,002,071,371,067,872,
770,460,560,181,668,095,648,801,369,487,158,665,476,368,634,653,083,949,376,
706,347,785,918,779,349,697,964,153,884,845,351,849,484,728,218,029,916,705,
481,677,460,050,316,146,621,677,297,489,953,209,945,817,371,925,510,962,104,
453,745,904,121,312,968,055,292,328,885,872,837,745,706,543,551,741,912,379,
136,647,949,590,613,192,834,564,605,572,085,022,213,601,635,212,710,634,468,
538,757,797,170,046,427,174,246,377,101,011,563,814,078,482,129,344,586,076,
800,243,297,045,717,842,596,480,989,737,780,855,636,269,608,981,413,961,114,
832,723,578,298,847,026,570,741,554,892,647,226,331,115,166,915,172,053,067,
104,567,500,736,144,915,547,630,692,675,737,249,792,768,404,215,318,023,570,
771,933,534,467,536,913,657,187,056,484,486,938,466,839,059,750,353,858,634,
821,444,145,243,110,857,943,487,050,435,802,212,533,706,558,922,339,812,787,
893,262,980,406,637,238,990,497,221,128,396,683,071,559,535,882,076,696,570,
875,831,791,860,403,597,488,362,162,347,823,189,057,508,537,842,331,334,214,
358,458,714,912,793,372,491,671,149,364,020,671,700,404,732,516,767,551,343,
369,735,143,815,350,049,095,567,002,778,686,893,081,057,716,975,292,449,182,
444,571,334,054,157,627,374,542,080,914,432,183,027,902,629,027,830,198,667,
878,699,414,663,883,836,000,741,341,254,552,678,857,283,528,114,325,963,629,
125,319,264,252,695,411,899,244,277,715,733,984,472,770,558,454,782,901,568,
245,237,077,419,755,130,222,435,057,860,471,719,775,530,696,152,911,873,914,
861,036,436,516,973,425,967,507,501,282,400,049,146,408,018,840,813,887,722,
878,812,890,447,272,526,234,875,823,785,360,789,484,544,746,080,044,021,787,
477,350,443,595,946,787,209,938,604,704,258,310,756,524,565,877,438,295,349,
929,880,830,397,615,676,517,618,419,081,359,229,773,808,812,679,243,784,231,
528,222,400,027,800,296,396,244,536,039,284,408,452,063,125,590,881,566,841,
645,947,650,712,584,439,560,628,293,254,931,396,384,097,374,104,076,595,195,
766,300,366,424,236,262,065,789,910,453,966,080,978,660,312,648,518,978,120,
548,787,503,341,250,202,834,112,152,985,086,397,181,196,905,155,058,281,139,
687,584,497,937,228,961,089,203,867,370,454,249,252,342,147,717,187,392,989,
060,761,427,096,291,119,190,166,174,140,216,634,932,927,191,755,613,259,416,
440,598,355,674,110,591,661,680,893,761,605,340,774,367,049,930,829,590,706,
250,824,443,372,090,874,265,619,637,644,075,232,056,113,878,752,717,760,763,
189,586,761,805,246,263,993,801,858,103,605,051,554,247,270,970,779,570,268,
586,761,668,494,533,496,282,361,063,599,383,699,388,851,387,879,237,750,905,
900,452,997,783,205,015,163,052,987,641,764,975,114,914,555,400,680,127,386,
456,240,839,358,558,448,278,763,856,105,448,413,902,544,576,683,940,561,700,
455,755,710,469,963,378,017,972,027,031,766,411,588,270,202,915,959,771,811,
173,509,904,263,798,372,177,440,273,052,184,762,169,479,736,510,186,181,759,
511,015,899,701,626,266,181,283,294,814,876,187,226,632,734,795,860,377,429,
130,115,827,684,016,647,286,453,406,235,616,458,715,940,119,040,392,684,920,
931,639,651,493,400,509,475,949,525,077,413,998,269,890,545,178,675,746,952,
879,276,006,718,282,167,328,575,482,395,243,120,109,566,535,523,042,794,992,
507,499,901,265,693,787,340,220,650,925,019,836,000,179,632,333,766,019,346,
250,898,117,001,973,196,772,519,672,596,704,451,166,903,904,962,941,484,171,
482,373,060,283,778,099,054,779,988,574,428,058,364,933,875,684,972,221,685,
779,181,423,228,444,848,317,516,939,566,746,591,250,172,307,190,093,850,182,
752,179,914,169,620,764,924,244,095,242,265,751,028,529,053,796,092,570,349,
857,778,472,758,379,160,356,873,052,724,617,143,750,914,322,693,568,952,581,
902,565,374,335,004,878,875,079,934,298,421,745,454,736,266,458,157,200,141,
041,273,088,311,743,815,965,571,154,147,564,099,242,664,720,251,079,412,967,
166,815,576,507,529,743,095,302,991,416,652,632,263,399,239,325,734,174,999,
721,846,133,826,162,020,349,848,822,584,084,412,546,362,467,652,532,912,018,
152,317,799,007,736,586,591,678,336,465,796,483,746,712,628,853,806,227,554,
642,576,868,532,193,866,458,373,533,415,609,816,125,219,298,189,043,641,506,
869,601,568,761,601,843,788,010,096,708,119,082,595,818,855,391,828,737,807,
806,770,667,982,942,991,198,254,923,400,688,125,977,164,688,402,040,020,698,
604,852,964,013,996,908,799,756,469,202,249,103,241,928,197,145,347,765,525,
834,405,715,873,437,834,349,748,869,093,312,943,955,188,194,346,096,839,399,
072,977,590,490,090,726,691,133,276,304,685,039,171,442,419,301,008,737,691,
439,364,198,648,945,246,224,174,035,365,807,249,932,953,726,068,933,141,772,
800,329,408,189,157,428,288,310,728,668,215,200,436,582,478,971,656,028,794,
486,171,800,181,649,071,068,989,565,044,815,615,243,381,236,084,104,480,923,
433,716,166,017,315,644,541,637,335,916,852,170,897,807,771,673,035,055,992,
521,900,693,501,578,833,159,096,236,570,955,821,849,999,969,312,735,093,496,
664,088,058,108,081,190,214,648,169,730,897,092,074,903,247,977,849,393,297,
631,731,305,531,819,506,005,115,041,004,083,126,107,131,433,897,827,023,996,
993,858,394,060,069,380,563,836,406,973,122,066,667,674,573,900,281,947,909,
132,799,496,401,167,512,287,222,648,190,571,120,945,311,084,778,683,549,053,
368,626,857,944,204,003,683,575,638,509,334,169,967,483,674,961,848,834,499,
303,941,631,212,177,835,544,069,365,237,956,156,028,272,175,630,026,272,726,
947,632,581,858,351,829,046,823,731,157,061,376,909,370,943,392,300,336,170,
365,651,562,750,023,769,741,196,881,985,387,811,663,403,277,530,801,216,527,
166,527,080,104,572,651,535,223,370,784,330,420,282,592,053,384,990,435,718,
553,558,691,640,588,450,798,609,815,540,071,695,176,607,218,266,849,638,742,
567,443,738,934,948,465,247,201,586,792,068,331,932,554,839,857,302,735,605,
997,107,381,686,983,719,806,329,177,049,155,361,099,730,822,148,502,854,166,
709,687,836,433,692,318,450,080,427,876,972,992,864,997,847,213,422,304,943,
399,297,859,873,889,262,844,498,620,481,887,952,504,473,605,475,392,676,605,
268,277,517,334,048,664,882,858,539,853,160,016,227,915,090,973,793,480,616,
190,910,681,218,084,939,726,759,668,707,678,246,303,272,986,294,852,092,807,
344,070,966,637,447,591,704,249,103,270,969,413,342,425,512,375,439,669,052,
805,638,600,569,875,228,838,148,762,918,498,798,573,043,661,845,125,881,368,
917,661,636,714,440,525,359,980,753,875,683,469,914,236,157,138,497,522,566,
176,311,575,360,662,948,402,624,197,200,653,065,967,636,952,534,541,491,444,
991,157,820,906,532,933,332,201,505,440,733,348,500,496,126,501,790,363,367,
389,670,793,750,127,879,199,457,200,349,534,820,571,148,658,249,069,467,131,
378,610,739,706,230,118,371,803,904,091,630,178,935,362,277,766,427,266,030,
388,022,203,541,867,233,621,431,475,682,846,590,797,195,707,339,438,549,269,
747,235,945,515,043,400,660,032,979,738,402,200,146,540,061,000,622,451,994,
592,147,078,898,136,006,099,676,711,398,967,629,293,915,065,652,308,829,304,
966,827,324,625,230,291,103,164,036,230,831,668,141,548,803,865,860,179,205,
534,713,671,330,734,520,289,576,463,197,446,824,948,280,934,091,674,927,045,
479,020,463,160,002,048,228,448,180,443,675,140,792,283,226,683,860,872,250,
508,591,043,347,131,418,894,170,921,410,638,602,035,364,037,693,047,584,193,
773,397,154,416,523,757,578,246,886,884,792,295,806,503,679,333,863,955,865,
432,837,138,471,990,822,441,554,690,156,119,647,183,486,225,113,284,567,723,
204,404,136,173,765,728,931,174,289,191,322,237,691,178,101,227,095,721,546,
822,450,825,532,434,975,184,914,882,032,055,302,080,593,525,597,354,053,978,
506,461,675,162,631,980,333,529,680,406,947,661,344,564,352,798,845,843,438,
393,391,010,692,973,449,755,910,711,593,525,393,572,603,270,690,778,905,352,
458,672,124,127,108,190,381,298,869,621,868,081,455,573,203,150,865,423,208,
215,111,031,010,229,603,834,552,988,738,889,421,005,207,229,722,186,938,206,
029,073,207,445,001,244,462,868,338,428,960,114,144,883,868,919,213,322,065,
968,378,923,043,256,845,876,767,967,953,983,925,797,028,914,448,272,742,999,
362,771,260,031,127,463,013,567,725,649,687,154,904,121,727,599,213,098,835,
305,057,253,097,007,263,785,615,827,455,369,195,150,660,561,858,651,219,567,
258,427,958,339,362,890,586,777,129,458,351,731,594,884,593,495,818,261,287,
581,152,507,284,858,087,986,042,871,158,641,634,716,185,518,746,742,082,244,
385,898,545,395,776,774,959,691,274,260,003,195,375,534,338,760,866,886,507,
064,103,888,248,342,924,777,880,276,459,710,429,345,807,222,707,201,209,654,
170,004,466,726,126,947,415,502,734,215,280,349,133,043,439,182,295,080,779,
328,588,098,791,004,220,213,931,262,385,482,153,121,276,897,406,416,549,139,
196,559,062,271,528,517,578,491,191,188,698,479,880,374,987,784,703,878,674,
695,345,176,666,485,185,358,058,437,178,485,564,462,908,312,814,557,250,898,
466,734,161,157,166,273,292,274,827,915,375,499,942,067,433,122,027,716,704,
119,975,254,936,488,530,490,284,983,654,921,615,449,240,728,323,367,719,172,
646,140,724,969,893,430,134,490,211,361,834,635,207,017,717,660,896,555,951,
773,634,832,869,017,235,157,521,283,154,778,495,488,336,096,157,187,682,276,
461,061,604,307,040,471,462,408,152,942,547,483,078,717,335,572,268,272,563,
262,811,972,815,520,202,007,193,997,680,480,640,578,669,082,224,698,921,342,
948,198,383,891,572,589,641,016,869,560,020,964,913,822,182,675,139,749,268,
844,142,078,127,973,864,701,728,059,222,863,137,148,400,719,972,441,062,098,
786,287,016,691,484,411,350,392,799,403,763,039,074,440,299,785,227,877,735,
603,861,197,983,126,277,390,803,609,810,207,307,430,957,168,720,359,030,691,
621,634,859,780,112,426,128,412,315,053,869,671,009,254,184,529,472,936,004,
095,149,872,902,654,583,361,013,841,192,387,014,360,482,691,100,961,669,797,
498,282,543,232,975,632,643,859,836,479,601,677,470,282,651,401,585,945,027,
994,655,798,140,723,051,904,692,240,792,396,810,746,316,750,372,598,790,160,
876,473,371,750,142,111,129,523,918,678,828,876,964,929,100,092,781,460,318,
648,734,749,785,282,940,058,549,792,098,737,373,537,297,171,416,407,406,053,
226,161,366,860,959,091,715,633,259,687,423,123,972,863,016,683,701,383,836,
811,034,886,836,713,395,530,908,374,093,838,564,916,630,246,045,142,627,063,
191,699,488,270,486,949,719,329,905,244,906,878,885,010,773,356,154,022,096,
751,128,167,889,275,851,819,919,683,499,448,015,657,309,613,699,785,248,894,
983,778,698,274,062,002,652,730,165,843,390,070,521,734,488,693,578,460,656,
591,976,408,166,519,368,050,094,681,706,543,164,534,084,624,322,693,164,703,
975,109,606,351,756,021,011,911,900,823,936,463,163,658,413,514,854,777,087,
154,560,586,278,004,173,050,332,217,249,632,570,808,530,123,136,203,139,844,
274,573,452,670,086,580,548,824,800,540,547,656,512,516,702,441,761,758,748,
829,377,301,365,619,418,687,096,573,252,510,387,313,554,259,447,602,516,584,
575,060,766,035,226,219,277,048,545,672,117,095,234,030,112,551,284,979,622,
998,373,818,637,659,158,291,534,970,422,368,511,328,723,481,283,844,049,678,
883,505,177,432,814,992,088,622,376,211,079,771,204,254,850,818,019,537,746,
843,831,428,830,631,973,689,150,716,678,395,156,831,486,703,554,889,837,797,
687,006,547,408,279,661,560,987,912,497,034,318,564,452,897,334,393,731,184,
152,515,619,073,628,947,511,100,163,522,132,167,915,912,256,970,370,002,122,
930,155,263,013,925,343,750,272,545,210,572,804,782,665,527,576,710,416,529,
479,103,998,080,614,056,195,598,546,993,965,878,904,679,710,891,763,772,996,
731,425,188,263,546,782,512,966,381,771,243,604,441,670,082,029,037,156,197,
120,215,888,523,415,441,950,069,545,431,091,918,993,944,612,729,704,078,146,
172,762,683,930,887,698,107,380,225,443,858,160,792,717,132,881,713,114,488,
303,092,182,503,930,546,865,198,266,080,028,250,108,347,749,956,779,062,829,
210,724,835,496,062,876,090,581,426,542,528,504,282,454,460,148,367,578,299,
454,765,021,956,582,195,646,441,588,927,003,608,633,939,291,471,388,495,964,
147,610,338,144,143,228,510,204,660,914,205,483,680,247,062,567,889,285,832,
647,171,690,625,103,909,685,346,547,930,223,769,729,165,970,939,022,395,668,
657,881,462,751,247,199,488,009,328,919,333,703,387,761,610,928,709,674,586,
619,142,147,657,741,552,200,823,515,485,762,893,139,656,987,018,466,623,926,
336,052,636,955,011,210,622,918,707,704,943,026,143,451,843,471,642,300,160,
697,328,850,859,957,957,102,882,410,267,139,804,728,689,141,055,038,770,930,
408,608,977,402,248,522,830,561,331,233,296,557,761,678,365,134,604,325,924,
246,690,321,456,237,551,590,470,113,005,618,260,777,466,164,070,220,418,556,
558,606,169,690,451,288,189,440,829,495,242,682,144,597,456,454,219,986,814,
757,311,314,187,974,399,048,888,693,712,247,277,807,683,695,240,362,872,333,
177,928,374,382,278,990,030,006,868,726,337,996,229,545,432,571,765,737,468,
577,845,733,625,892,908,152,204,323,241,182,332,272,421,786,364,860,400,489,
048,498,376,070,318,687,914,974,642,989,133,294,545,702,177,327,861,260,374,
394,113,904,981,718,742,664,016,577,237,404,554,210,619,700,503,305,581,108,
132,350,543,911,645,099,266,581,638,753,495,929,944,226,895,236,270,463,268,
542,335,781,928,282,311,009,942,219,883,487,031,308,699,247,481,458,333,941,
121,934,984,962,604,421,068,481,408,465,542,102,119,940,065,544,369,095,875,
605,422,973,060,886,781,123,455,805,466,277,854,871,949,244,729,520,205,069,
039,228,254,473,732,590,882,420,824,583,336,670,954,998,481,386,036,700,543,
429,789,570,589,081,118,354,198,151,601,108,076,206,184,291,130,745,977,032,
714,135,305,951,527,201,280,774,422,391,556,765,811,914,622,783,809,993,326,
411,016,766,379,395,968,887,855,571,154,839,076,884,050,901,764,723,631,206,
178,928,136,210,774,470,727,948,110,204,144,190,758,631,691,587,585,921,162,
318,297,508,033,624,542,902,320,679,206,614,536,691,517,001,649,427,806,732,
645,392,564,779,199,070,313,226,534,542,487,429,424,760,792,566,009,999,251,
525,099,016,087,825,310,023,882,398,833,411,641,297,671,493,723,350,680,600,
852,770,002,283,958,709,239,533,450,822,288,260,454,227,769,063,002,908,448,
121,351,984,641,194,928,698,218,308,371,852,293,858,034,641,957,671,843,196,
005,060,875,364,041,243,136,840,654,411,261,590,767,543,653,008,427,826,030,
468,902,665,879,788,493,688,569,240,922,113,805,774,265,366,364,221,512,202,
922,978,829,903,695,570,347,495,712,838,036,541,696,550,269,843,600,707,978,
713,895,639,050,738,434,160,959,403,183,209,733,901,217,397,576,455,826,683,
434,184,289,571,155,197,866,411,177,502,504,051,265,223,553,658,578,476,463,
519,937,457,939,362,052,890,671,161,778,698,348,074,887,266,669,785,626,951,
781,537,951,385,056,227,508,445,706,989,104,944,474,954,933,350,216,543,469,
140,034,048,846,385,872,826,835,318,553,466,238,156,455,743,938,635,400,333,
231,786,850,483,361,893,792,038,700,550,546,480,087,617,964,150,897,843,363,
923,448,294,192,347,419,002,990,481,828,596,041,988,728,111,404,932,274,747,
172,105,371,147,360,176,381,658,895,432,632,145,737,200,875,692,963,074,802,
267,180,054,576,443,978,282,328,473,956,160,745,244,201,869,761,030,118,346,
703,521,169,831,601,872,526,936,187,869,871,689,194,358,279,608,876,125,437,
610,771,910,138,020,688,127,659,196,391,029,660,104,839,705,245,118,106,741,
116,816,241,206,178,687,764,943,794,622,206,848,742,155,023,709,207,939,806,
499,184,115,786,316,587,289,726,814,845,323,374,862,002,337,749,173,507,151,
131,432,049,711,517,966,477,712,896,720,515,113,777,312,656,115,200,346,675,
846,482,299,196,292,145,032,552,637,102,849,250,885,200,746,159,049,192,015,
447,178,554,374,053,009,026,260,091,992,797,654,259,831,538,813,070,910,801,
562,596,085,823,135,538,535,982,899,919,446,259,009,779,114,354,469,543,131,
301,515,229,514,154,193,223,813,100,064,800,956,201,870,364,263,104,455,448,
771,074,707,589,954,481,843,973,925,603,032,504,842,890,206,932,385,628,497,
715,593,705,044,381,555,438,331,385,485,992,590,721,694,933,773,313,476,806,
356,911,214,176,680,754,166,960,760,185,301,902,037,746,136,995,370,844,680,
637,180,763,511,141,761,542,253,108,380,689,144,113,451,832,545,156,505,432,
276,518,128,026,488,096,809,678,160,098,892,427,404,187,189,956,837,156,129,
898,945,165,461,829,342,907,160,476,933,898,154,834,762,316,756,382,291,189,
366,087,850,484,373,306,202,699,551,207,431,635,280,637,474,902,641,854,491,
594,985,688,181,137,493,665,393,322,231,131,472,111,759,373,055,787,114,225,
818,886,734,956,137,929,203,870,652,187,268,003,550,528,558,001,175,801,554,
578,493,360,926,897,104,830,846,211,969,012,601,664,564,481,745,400,296,662,
195,638,742,586,042,248,823,209,249,681,063,072,263,911,235,731,008,633,069,
605,883,572,634,498,999,763,540,645,950,758,271,103,771,706,809,158,961,227,
596,206,564,345,730,348,598,775,577,999,291,422,578,744,259,863,935,083,085,
315,659,003,913,303,971,284,586,778,365,275,251,958,905,470,299,772,437,571,
103,226,260,160,403,702,967,387,448,075,553,651,497,569,833,002,053,750,150,
915,313,555,281,876,067,086,398,533,499,608,778,288,550,375,640,053,254,771,
392,348,408,895,299,429,270,473,482,349,236,784,177,166,595,426,524,085,384,
895,299,534,880,973,008,028,530,826,220,452,582,350,060,020,448,688,122,725,
234,227,300,256,733,749,279,604,261,041,108,642,115,437,300,636,547,836,500,
905,274,358,537,765,787,940,146,591,024,168,538,293,857,954,352,171,339,203,
709,438,847,493,862,276,356,729,452,540,066,294,961,736,181,982,627,231,434,
556,189,454,526,743,407,459,968,534,811,638,860,127,932,296,675,126,741,364,
697,200,329,171,856,801,412,304,181,255,353,768,777,154,326,056,752,406,278,
797,304,244,706,491,336,340,339,442,948,680,671,544,618,491,849,849,509,594,
066,424,186,439,152,591,039,469,517,947,475,161,740,036,543,098,205,979,031,
348,076,661,004,324,087,176,102,269,766,495,259,694,254,751,068,384,063,984,
503,059,577,891,840,261,246,776,172,303,340,680,771,786,937,091,948,482,081,
406,522,134,103,316,151,043,806,650,701,483,358,881,390,315,260,196,260,082,
102,763,953,022,348,252,282,315,205,265,319,413,447,390,434,168,443,677,340,
130,281,721,148,336,138,617,928,086,921,691,802,835,681,667,157,436,161,693,
744,260,737,140,611,306,760,019,043,758,497,907,203,734,991,131,318,977,629,
137,152,269,100,491,484,009,552,446,279,104,143,744,564,066,427,105,504,159,
155,763,913,449,265,029,376,198,283,095,335,867,874,541,869,420,693,204,684,
815,032,169,267,007,982,266,325,589,012,968,960,029,608,616,443,359,963,139,
324,927,839,699,239,174,843,183,939,220,852,410,042,466,408,815,580,600,412,
512,142,638,355,045,235,870,110,422,045,405,747,892,742,922,671,012,443,912,
210,590,626,465,440,721,428,521,343,293,392,906,721,578,134,312,719,795,876,
944,327,784,076,309,193,221,385,098,259,464,600,871,141,255,086,473,006,241,
850,869,767,169,007,068,099,093,521,827,051,910,061,654,832,936,816,435,531,
428,796,888,099,881,942,695,099,266,028,478,288,554,898,915,593,065,864,062,
983,532,585,740,652,529,076,545,698,713,665,155,005,358,608,977,077,699,228,
960,699,847,393,759,637,283,398,296,646,802,151,042,130,453,600,689,925,572,
834,445,653,586,864,740,709,881,566,220,519,877,818,405,521,523,868,336,775,
048,221,235,896,136,063,213,699,070,846,060,644,975,859,445,370,163,813,232,
773,078,855,328,648,029,736,914,320,017,663,406,305,740,593,368,469,972,999,
905,328,667,723,756,803,138,323,970,804,518,685,989,783,283,912,794,231,257,
182,558,911,534,150,565,922,136,878,602,839,796,855,732,393,468,822,428,465,
189,080,554,350,636,861,966,545,469,572,289,050,618,821,181,898,036,106,845,
411,944,591,755,233,488,873,890,255,464,510,056,823,108,799,254,983,527,432,
050,816,782,132,785,652,116,425,343,159,552,347,104,304,847,481,239,523,875,
008,388,006,893,797,643,380,613,768,758,001,097,589,168,230,392,040,709,205,
312,490,931,186,997,075,529,376,381,773,786,347,424,410,933,566,418,100,326,
113,997,496,910,366,870,366,790,994,076,143,373,133,434,434,140,242,202,732,
003,670,287,190,675,940,715,604,469,230,310,380,355,287,085,391,510,356,848,
370,671,458,222,142,892,402,791,517,577,779,669,093,473,147,538,499,380,409,
240,881,132,437,427,635,335,627,814,226,854,943,265,359,091,577,194,835,733,
700,900,178,827,016,710,209,052,640,257,769,134,229,950,619,190,825,815,025,
062,008,664,719,515,268,081,924,570,454,295,560,317,513,366,005,336,831,505,
998,856,772,970,075,594,442,971,146,896,603,398,985,388,755,772,831,824,713,
600,611,871,977,706,791,210,619,316,788,084,818,047,768,921,643,633,772,847,
190,765,677,248,646,633,255,415,912,753,175,075,020,415,286,451,316,836,919,
834,963,218,675,943,124,963,895,815,192,396,740,616,167,235,431,297,517,776,
268,288,114,955,099,406,220,959,107,689,082,429,061,023,548,364,771,715,836,
663,842,606,312,685,636,469,337,696,751,364,073,356,015,369,310,102,040,047,
769,934,591,605,085,488,569,015,615,617,593,067,631,374,001,997,769,191,275,
683,202,870,260,049,709,884,874,599,040,712,031,608,331,397,047,654,429,410,
303,561,096,882,138,111,724,488,559,665,541,722,904,684,055,169,472,086,877,
505,191,179,195,302,532,609,705,638,685,689,647,439,329,719,032,600,185,048,
160,442,704,766,010,543,809,737,593,018,186,415,169,236,117,175,187,464,734,
993,285,973,857,926,607,525,417,881,877,138,173,713,779,600,449,724,185,190,
180,424,876,095,614,607,110,124,587,563,370,920,195,787,707,278,477,784,898,
047,564,289,872,393,636,974,395,556,223,635,133,355,609,545,532,909,134,557,
690,193,831,398,848,118,784,263,006,890,930,336,461,585,858,806,171,847,003,
949,684,887,118,606,229,749,233,985,395,970,682,130,565,290,244,717,229,488,
565,575,891,270,127,511,249,147,731,942,481,908,091,086,759,862,047,146,853,
200,971,051,693,804,576,697,186,873,118,632,581,669,978,083,268,994,361,423,
721,949,095,026,251,614,610,014,605,173,324,029,398,577,757,552,801,844,641,
414,288,709,281,106,123,164,398,160,931,766,355,729,144,033,181,163,053,993,
857,072,145,921,121,099,866,916,203,770,847,771,124,186,273,228,402,057,168,
665,575,298,026,710,834,823,944,100,310,656,438,973,611,367,357,353,388,908,
087,662,411,246,823,698,968,142,503,479,124,363,181,858,754,561,465,752,272,
176,419,187,522,013,028,534,634,579,119,173,308,811,690,127,295,196,142,284,
950,752,219,964,245,781,176,767,844,962,335,373,383,010,472,352,950,047,193,
961,312,730,034,949,713,792,937,450,800,644,131,556,664,378,630,360,484,032,
577,254,337,367,371,540,462,584,538,674,590,974,774,161,411,661,728,900,293,
606,071,118,949,589,462,703,612,284,706,831,626,038,136,754,745,209,809,248,
902,261,689,114,633,350,587,260,354,995,273,795,864,178,620,676,130,315,014,
210,509,213,001,228,696,167,169,203,324,198,151,997,828,636,153,921,184,892,
431,896,917,190,954,907,717,961,726,062,569,765,669,808,226,977,699,563,815,
676,776,317,484,688,300,036,269,411,376,232,116,755,797,499,497,902,418,046,
653,878,946,394,629,450,286,942,480,405,867,842,172,590,694,372,352,065,438,
276,623,032,705,520,501,182,160,806,486,969,838,250,614,537,862,779,593,974,
009,026,987,316,481,638,971,738,601,957,643,921,396,543,734,242,150,443,660,
428,743,720,111,703,004,627,783,706,472,376,158,007,762,169,096,029,637,309,
265,708,666,856,849,891,290,299,622,443,303,864,709,778,586,774,480,937,950,
356,065,626,269,009,065,960,161,338,756,870,278,170,410,343,173,196,008,975,
052,146,248,380,503,682,630,750,428,063,378,888,447,064,676,514,217,444,416,
421,683,062,083,641,608,955,237,457,257,213,359,424,595,157,441,661,190,569,
690,750,114,631,853,807,466,323,709,422,210,961,336,654,505,644,110,906,462,
542,386,858,114,265,967,176,362,234,647,457,640,458,858,375,966,622,081,352,
098,735,282,931,237,766,987,024,852,864,592,252,939,390,944,319,090,495,184,
381,749,393,603,360,201,117,225,575,276,150,327,254,976,179,787,376,145,193,
727,665,734,395,291,767,272,767,148,269,843,601,910,024,321,671,786,214,736,
168,650,016,038,339,996,624,394,935,075,194,575,102,606,530,951,912,628,553,
771,364,103,209,949,104,136,940,656,520,395,838,425,694,615,039,173,928,782,
156,746,183,290,689,428,513,043,786,888,541,037,806,398,312,146,139,989,297,
649,080,637,277,344,581,320,718,417,269,962,134,047,623,317,428,197,660,876,
401,242,700,168,081,190,000,724,442,320,349,560,302,632,219,936,472,388,371,
711,111,331,556,533,655,419,172,322,323,062,987,313,173,676,984,707,468,795,
105,380,273,572,397,010,494,013,707,874,322,047,596,426,983,391,097,947,944,
540,694,441,605,612,452,863,046,467,077,782,031,914,874,965,557,873,071,408,
749,592,601,277,662,191,216,236,617,019,978,416,613,479,667,092,467,010,190,
666,881,608,719,643,533,348,578,102,696,818,177,574,183,360,056,075,217,864,
957,808,926,702,303,774,012,966,800,733,024,658,906,568,868,753,555,666,665,
896,677,996,571,376,460,373,343,939,999,531,451,594,379,224,452,039,424,220,
717,585,012,650,725,598,676,970,357,070,038,833,261,711,924,610,203,571,946,
262,183,968,293,863,777,141,713,505,473,730,580,327,416,996,542,973,287,237,
272,514,978,525,449,812,861,413,843,419,773,829,190,852,727,984,876,607,731,
474,335,912,183,114,009,410,535,379,097,201,228,033,028,470,779,068,529,300,
245,656,565,785,573,225,071,881,489,181,051,132,309,008,073,512,112,257,086,
227,326,945,139,168,324,149,447,493,873,655,202,501,198,453,631,487,142,078,
613,916,657,164,194,607,303,115,707,461,890,458,506,733,774,250,059,944,069,
832,855,914,141,567,051,643,423,028,982,355,622,898,378,187,369,085,964,688,
485,235,352,957,578,626,880,934,869,542,155,233,891,102,944,924,100,582,583,
649,653,124,989,448,454,625,669,908,041,459,985,122,274,332,882,502,130,793,
488,242,066,506,071,399,784,479,402,739,036,942,283,807,435,785,905,826,553,
479,413,452,106,190,481,391,881,992,371,160,821,154,174,517,393,175,385,661,
526,896,660,812,233,406,417,372,235,406,057,889,576,056,089,332,689,618,698,
093,919,287,702,387,714,770,769,790,665,816,716,424,422,295,527,426,154,558,
572,177,363,785,125,896,486,473,315,623,681,845,309,816,664,531,855,817,518,
314,384,791,923,539,772,390,217,033,911,761,490,658,568,193,666,279,898,252,
257,224,969,241,408,894,408,624,380,429,468,589,599,158,012,341,463,551,022,
374,858,903,407,942,984,064,084,157,993,776,309,430,771,512,049,604,546,059,
590,058,922,036,996,593,484,725,021,027,550,006,471,347,022,122,095,426,839,
204,263,005,120,560,460,553,489,552,118,918,335,095,954,970,448,113,864,588,
927,666,096,224,882,718,613,817,514,548,887,319,156,288,754,289,484,216,497,
509,619,806,106,142,106,523,181,456,906,486,790,739,105,544,469,627,560,143,
536,775,736,002,223,994,088,871,952,738,554,655,722,749,681,108,748,849,810,
503,439,976,957,764,958,393,692,751,617,875,521,104,299,185,185,029,403,879,
548,741,672,941,082,085,052,173,729,478,646,071,678,877,169,092,107,240,891,
287,522,162,166,578,737,099,446,583,411,800,859,918,987,406,255,133,942,528,
884,258,865,884,587,322,973,174,736,065,658,380,973,882,668,643,906,279,454,
203,064,710,474,757,441,676,016,325,426,166,916,589,780,994,101,326,214,853,
233,185,587,198,965,257,968,602,592,432,757,930,189,517,744,685,077,534,687,
618,891,105,143,191,421,959,714,435,116,072,843,120,550,411,323,764,769,512,
949,421,255,333,287,414,061,634,385,566,385,116,397,216,926,751,311,493,868,
324,022,554,431,370,107,470,566,625,648,352,577,137,315,292,094,456,795,470,
811,475,155,246,367,668,635,442,920,109,799,010,315,925,309,045,832,853,105,
487,394,565,733,527,956,908,158,911,460,975,386,785,278,550,553,704,687,218,
342,608,412,330,563,577,247,409,265,615,439,480,383,742,862,746,462,407,154,
240,508,070,473,300,104,551,371,887,246,312,236,436,344,905,306,602,532,574,
548,440,533,110,921,442,853,264,999,394,541,989,169,685,587,980,764,791,922,
720,221,677,783,400,786,579,410,471,602,922,510,332,163,389,299,570,090,240,
804,302,427,285,801,045,470,427,851,230,104,449,788,826,971,277,119,872,085,
285,157,001,134,971,952,398,127,875,271,747,138,031,920,897,020,432,077,738,
187,731,547,597,328,181,133,422,107,890,677,840,065,995,698,738,871,836,392,
053,296,512,236,875,969,086,540,919,303,251,494,025,874,886,943,155,200,687,
134,998,204,222,556,014,116,026,147,580,416,529,043,794,544,743,615,379,490,
985,936,364,322,257,360,151,033,577,954,849,639,950,127,842,570,606,771,956,
226,665,193,118,956,838,066,222,673,550,328,847,030,258,365,683,137,878,356,
797,810,429,665,295,076,284,124,265,748,012,802,666,981,198,957,079,755,014,
691,306,794,851,983,793,571,287,827,105,395,156,981,737,575,350,385,526,117,
485,523,497,533,020,710,552,936,255,956,921,999,508,665,725,339,592,082,284,
983,437,166,052,232,343,582,306,953,307,611,965,153,021,493,816,512,220,910,
390,390,003,514,826,811,698,345,530,241,719,447,465,363,434,426,870,837,198,
373,083,116,531,336,207,317,874,055,706,708,602,591,344,328,154,357,750,860,
913,621,987,929,299,707,440,451,543,282,009,802,052,459,243,979,010,143,227,
277,999,866,834,035,388,292,398,687,734,225,457,716,651,711,820,873,494,146,
604,820,287,852,064,509,507,886,436,040,718,805,817,867,682,608,721,278,930,
411,185,534,955,602,090,829,133,116,495,456,004,651,497,360,132,755,870,160,
260,366,842,676,651,121,046,511,168,535,201,237,193,389,019,532,783,457,580,
148,726,066,690,145,058,226,422,434,001,027,722,041,714,014,380,613,482,470,
987,614,770,911,321,061,232,654,758,069,470,053,815,675,809,860,074,982,430,
367,091,832,633,817,548,666,650,203,473,276,087,029,164,431,222,739,534,840,
752,417,029,362,626,800,795,812,532,725,583,180,589,492,792,383,751,105,548,
694,876,751,220,946,907,708,053,344,757,990,710,946,972,892,599,514,058,766,
145,454,703,000,496,782,390,124,844,732,625,735,345,285,562,489,869,991,664,
430,384,913,066,362,243,345,370,460,707,021,407,884,698,409,703,293,241,097,
253,064,758,914,139,642,294,646,575,298,670,962,697,978,913,924,147,383,825,
263,058,097,990,722,493,308,577,353,956,111,928,972,268,055,096,466,345,987,
460,333,401,784,217,916,821,001,922,049,750,889,461,604,354,742,453,868,661,
014,990,094,781,585,979,828,344,528,290,769,213,357,081,781,726,865,016,753,
778,428,242,973,836,890,675,659,417,373,705,445,635,623,182,485,466,052,320,
789,281,689,992,454,663,836,113,048,079,116,345,034,114,753,253,311,497,320,
619,912,794,042,507,017,023,416,167,859,528,029,855,716,999,016,597,346,973,
614,627,051,768,929,309,522,310,994,925,450,689,263,968,296,465,408,099,615,
878,753,808,655,691,247,571,955,903,287,463,256,625,440,899,337,326,850,368,
294,494,023,735,733,859,546,978,238,706,814,137,413,760,470,710,422,433,818,
323,129,991,075,424,188,402,113,551,782,106,575,896,621,967,866,390,204,155,
087,543,157,556,189,451,103,149,742,574,566,696,761,197,610,252,649,298,552,
195,354,196,823,557,499,802,636,475,805,992,860,511,439,793,793,025,807,358,
457,863,972,823,396,157,786,925,111,616,287,552,425,140,295,332,410,733,044,
400,343,830,581,994,660,427,943,371,109,426,908,409,964,405,459,312,643,933,
587,266,845,393,620,355,246,380,578,476,681,966,294,665,172,244,417,247,168,
869,579,866,324,222,364,252,936,823,554,987,723,359,737,854,146,463,616,095,
885,865,342,344,097,870,759,512,560,116,112,208,062,300,232,989,831,333,794,
119,473,037,557,666,606,641,601,754,713,815,375,319,260,559,775,310,421,937,
477,939,215,371,512,643,414,562,051,001,402,794,341,045,645,197,665,469,645,
533,346,733,059,607,991,207,873,299,368,325,084,498,040,605,970,068,843,873,
907,423,665,923,442,951,221,374,662,564,862,744,314,692,711,728,103,692,417,
331,862,109,225,585,061,507,779,395,988,324,847,605,153,869,523,752,532,481,
428,788,830,004,796,764,373,924,505,003,379,836,905,027,756,242,699,769,669,
602,350,873,759,612,807,285,849,456,687,256,656,671,318,277,530,098,596,814,
738,146,660,551,556,947,765,066,334,843,622,901,766,116,906,493,045,373,659,
546,047,352,828,959,999,979,666,156,869,656,107,192,095,177,442,062,622,688,
985,183,707,188,493,279,167,917,025,469,089,850,965,175,813,984,762,865,728,
090,826,174,034,464,565,962,650,991,285,371,996,240,317,557,572,081,466,103,
804,480,438,962,494,664,027,831,850,565,291,767,929,551,507,242,077,633,728,
427,074,081,727,747,474,099,336,160,291,885,872,558,822,917,819,685,758,142,
819,949,982,107,870,268,393,699,048,279,184,668,902,813,620,613,659,081,303,
408,194,552,036,499,690,422,080,702,934,756,195,377,536,049,244,228,129,271,
153,874,765,317,831,772,564,673,410,346,784,991,067,723,309,568,615,932,715,
536,044,947,440,211,583,605,344,254,318,330,661,980,008,475,627,285,392,340,
038,383,289,405,114,447,819,618,643,447,501,815,194,221,976,458,807,044,794,
853,964,336,153,414,879,557,780,947,423,957,739,639,711,171,525,432,404,825,
539,058,048,198,414,237,843,088,520,840,207,622,392,975,385,611,659,350,619,
307,297,676,976,596,482,916,520,349,369,156,231,277,848,548,573,744,113,508,
453,970,069,446,708,455,235,080,330,026,416,288,934,163,397,539,469,446,212,
930,463,514,950,765,152,402,429,996,877,981,633,579,912,965,860,227,713,432,
660,944,003,202,271,156,310,707,950,925,503,077,428,526,505,610,506,432,305,
053,750,333,293,389,462,672,158,078,448,260,255,141,318,647,366,170,205,954,
031,154,098,822,649,423,063,622,772,128,720,192,028,866,951,496,591,353,260,
395,649,450,719,624,692,421,592,643,204,485,177,710,545,249,418,991,941,844,
307,483,162,088,570,051,504,566,616,745,388,868,089,153,290,661,287,515,274,
520,613,838,857,786,633,641,298,937,599,146,493,503,192,929,309,051,104,575,
500,560,432,641,601,024,034,601,212,593,572,805,765,790,124,920,606,898,118,
994,143,053,103,505,087,612,283,097,958,678,824,569,183,601,426,912,918,615,
261,100,590,824,297,183,294,252,991,017,043,741,667,051,017,754,413,951,982,
335,024,645,693,651,811,411,113,750,537,930,697,517,435,685,888,155,283,287,
775,913,534,549,416,058,144,577,845,311,366,364,904,112,353,676,898,528,291,
608,248,514,414,362,617,254,202,817,582,321,160,631,337,809,429,377,577,474,
989,078,615,222,994,991,140,548,969,360,603,426,673,560,778,318,486,856,352,
403,686,599,140,138,460,505,591,485,544,815,241,552,703,942,414,875,284,863,
572,669,489,440,192,621,055,286,540,543,746,690,072,193,804,737,876,304,783,
912,527,863,911,087,792,272,826,983,797,730,559,684,900,191,286,733,091,395,
564,820,446,738,461,831,986,337,733,667,874,007,534,279,339,576,371,725,948,
963,294,179,487,199,105,962,069,368,815,216,656,026,596,208,829,014,304,256,
811,676,258,647,235,980,673,519,914,639,622,872,909,518,759,548,870,438,644,
026,757,253,466,559,686,615,027,498,486,548,602,348,137,145,745,624,608,266,
682,128,654,662,010,904,028,189,409,325,596,500,515,041,112,971,360,696,446,
222,831,941,021,640,312,246,262,031,069,487,510,185,229,929,665,243,913,420,
488,705,258,298,993,746,143,562,190,573,388,208,295,985,014,869,687,103,174,
642,407,736,415,631,809,926,985,343,121,785,703,719,310,384,732,580,619,405,
837,271,624,387,670,521,699,542,285,101,238,461,215,279,856,561,794,150,562,
890,719,153,953,973,829,607,884,708,299,857,244,243,145,929,691,216,194,117,
157,371,334,970,484,142,711,283,032,491,302,382,226,843,814,000,922,452,652,
397,876,968,650,772,015,382,451,310,003,193,204,866,672,263,090,719,938,473,
649,807,214,003,440,851,235,915,582,764,425,492,292,780,028,969,673,448,839,
384,953,319,347,033,983,219,724,868,561,301,026,313,092,187,963,545,643,143,
118,704,598,291,948,937,557,928,379,393,096,666,600,117,701,217,590,291,523,
269,497,237,928,258,443,701,384,163,387,488,652,082,837,505,993,024,958,399,
872,455,994,685,349,759,018,992,665,819,813,079,035,393,971,091,982,552,456,
770,822,663,084,861,420,580,974,418,586,594,452,595,373,839,168,315,291,814,
197,968,134,703,967,363,168,594,889,979,505,143,536,486,827,997,461,866,853,
789,362,314,142,806,575,610,027,311,006,741,781,085,205,358,627,597,172,904,
790,709,256,617,064,132,359,379,417,313,457,080,202,737,534,533,484,267,357,
532,940,522,724,357,630,482,681,687,008,884,432,313,392,711,715,988,978,702,
339,030,399,550,658,632,826,439,621,447,735,891,436,756,176,264,331,650,985,
803,818,163,454,094,743,012,933,079,621,984,546,804,653,381,887,118,151,525,
354,732,599,119,220,549,475,308,035,223,012,817,168,757,876,017,792,244,378,
677,888,243,835,757,192,944,057,531,283,704,411,527,712,552,727,393,968,832,
282,649,979,980,957,777,883,220,074,110,482,183,244,940,491,502,185,389,100,
938,186,235,134,556,737,633,670,557,387,624,144,104,171,281,037,083,313,237,
371,390,824,357,667,997,677,678,030,326,270,910,310,064,307,585,640,215,731,
405,777,966,263,676,780,929,691,729,638,462,010,902,124,172,042,051,264,081,
071,337,838,284,202,526,345,150,704,419,371,157,331,780,392,188,002,015,745,
965,185,391,243,240,564,331,496,554,006,892,238,739,264,543,085,752,582,733,
282,693,381,030,947,912,436,333,930,558,937,186,604,598,039,563,789,181,496,
305,666,255,968,271,171,332,438,997,704,988,319,020,482,988,401,174,917,385,
617,124,695,350,493,344,598,477,303,989,681,644,995,189,309,428,499,835,356,
549,115,865,674,449,859,122,575,269,798,947,103,932,464,690,387,681,239,646,
270,499,986,929,653,257,903,342,101,944,743,549,755,886,321,515,999,507,361,
141,097,267,848,890,751,891,186,520,447,325,459,737,476,914,764,848,164,311,
465,628,370,321,754,683,759,859,025,976,845,671,938,454,634,140,112,643,226,
151,994,578,842,592,152,343,778,938,482,215,936,461,461,136,064,307,122,261,
864,364,078,512,262,799,998,011,917,598,072,577,749,427,025,800,185,595,601,
868,336,311,706,481,901,383,296,469,870,601,287,789,763,405,945,616,503,830,
443,645,082,921,730,138,370,122,638,424,409,129,689,637,135,412,821,388,999,
301,755,579,747,561,622,400,251,934,218,763,106,458,261,857,207,011,520,274,
861,651,943,057,914,427,851,638,152,903,755,366,936,252,843,761,680,724,179,
305,343,413,856,262,623,646,709,688,559,661,680,150,420,588,882,256,694,299,
284,704,185,925,434,997,618,834,115,546,838,460,407,229,445,460,942,882,586,
107,331,466,949,616,772,756,610,575,431,619,450,008,862,591,423,359,324,912,
255,686,331,836,894,980,253,282,123,677,281,972,834,616,805,149,755,617,915,
139,514,729,332,723,622,358,112,855,647,511,294,338,703,370,175,020,376,084,
954,680,973,781,395,146,298,628,330,522,221,568,844,346,232,471,414,581,925,
882,199,159,406,407,813,423,334,063,601,118,957,928,908,818,003,847,143,132,
350,879,438,036,891,024,183,193,626,774,894,515,696,601,102,302,432,464,836,
165,344,723,501,328,076,343,246,167,989,542,255,846,292,665,189,793,571,143,
118,903,064,189,158,270,261,496,194,551,315,163,737,019,044,290,729,681,740,
053,239,031,473,791,238,560,930,046,673,064,660,486,778,956,088,741,902,882,
098,679,415,810,186,609,509,219,503,360,503,308,688,344,956,445,168,882,476,
778,128,249,657,168,822,760,591,185,396,675,582,036,918,678,177,682,940,569,
670,729,266,272,592,367,838,909,270,623,438,313,299,041,938,519,728,772,769,
592,753,145,914,719,410,698,328,183,959,783,794,085,464,060,653,073,097,039,
817,201,843,559,075,751,951,565,256,613,218,595,915,646,489,466,745,419,217,
519,594,467,701,959,285,567,166,877,717,061,431,122,892,151,172,065,465,658,
970,650,180,343,031,297,582,686,143,191,801,594,595,299,488,413,520,960,722,
376,944,771,697,742,078,388,641,401,520,592,656,728,667,541,361,411,465,639,
515,589,349,973,069,118,559,408,314,159,792,277,265,196,631,703,438,707,456,
768,008,024,322,199,845,662,335,947,866,830,435,230,675,000,177,243,873,398,
038,578,544,217,586,855,173,068,754,188,861,102,957,870,898,745,762,174,629,
216,886,323,944,895,499,220,189,984,647,357,061,236,158,434,247,167,136,230,
564,791,397,384,466,974,190,527,430,680,278,105,784,205,695,413,461,207,924,
360,340,699,328,909,238,929,004,073,550,923,076,654,745,032,726,876,152,954,
824,060,908,839,932,387,203,056,257,601,024,136,468,663,171,271,830,381,286,
330,932,300,969,280,475,695,839,131,961,348,922,533,949,332,330,270,528,906,
881,781,929,184,931,365,243,619,479,990,593,344,087,402,602,560,561,376,022,
889,013,166,074,725,084,316,609,647,297,345,618,997,186,794,198,457,842,113,
926,217,485,167,159,377,235,740,633,706,312,563,408,690,747,534,382,994,193,
074,591,007,169,498,883,708,288,336,093,503,879,573,563,777,528,752,587,157,
566,484,368,155,102,673,597,023,006,355,587,011,596,763,432,068,973,943,989,
400,110,685,534,056,422,650,222,148,086,979,449,318,342,793,731,444,853,196,
466,975,324,332,338,144,698,552,865,108,313,073,740,853,988,870,649,701,576,
937,934,681,491,230,533,547,866,763,826,523,083,143,424,022,958,385,896,618,
811,368,551,073,855,125,383,469,680,651,866,057,443,876,901,423,410,538,636,
927,965,985,433,036,090,882,904,374,465,647,281,851,803,216,891,624,609,107,
166,096,508,299,511,384,869,313,172,797,383,293,143,470,583,142,484,232,295,
679,021,616,178,390,729,118,271,167,229,958,526,282,937,280,551,268,456,303,
216,743,605,480,359,409,315,745,463,707,500,572,269,036,558,405,049,198,277,
017,272,851,580,565,638,867,142,847,937,801,622,996,306,515,731,028,647,098,
638,462,558,351,780,598,485,168,510,181,695,597,365,365,582,621,727,091,000,
916,140,867,992,812,318,630,569,769,733,829,706,727,831,530,372,819,270,374,
671,340,837,861,171,648,411,352,842,899,819,990,153,406,846,059,359,889,918,
980,001,524,356,725,830,060,772,300,935,171,308,895,443,413,429,301,001,687,
758,412,957,956,961,120,934,289,215,684,802,018,411,303,279,059,222,334,220,
548,293,146,651,022,584,380,816,859,235,943,129,264,029,967,141,466,916,553,
420,411,474,642,053,143,881,482,405,832,508,200,076,105,346,176,331,973,768,
565,822,650,994,504,634,426,019,390,788,376,733,801,872,881,279,179,190,000,
690,552,781,737,474,509,226,510,404,024,351,633,504,133,406,379,733,630,087,
602,483,188,893,093,118,312,351,982,628,855,636,671,494,871,854,501,590,100,
558,211,639,938,203,937,334,588,465,037,906,752,147,093,937,204,261,957,415,
551,399,641,120,767,844,995,801,699,350,775,969,996,658,954,084,985,742,488,
936,684,472,667,878,685,811,238,051,549,312,460,099,937,330,160,317,004,012,
885,058,111,265,299,602,119,973,147,714,885,338,049,436,846,598,238,042,174,
584,943,659,903,474,945,550,259,235,394,551,186,880,371,930,113,043,984,213,
153,972,574,691,474,618,260,543,971,518,277,942,673,945,669,745,521,087,135,
904,080,216,910,583,527,142,961,480,446,743,007,509,316,967,352,270,156,521,
209,802,576,712,869,982,700,715,109,916,764,324,988,092,861,184,050,036,845,
934,727,650,425,447,215,046,901,717,652,287,542,231,772,374,739,956,688,262,
725,160,886,407,377,749,434,633,880,679,377,012,907,976,965,866,734,185,294,
530,433,883,282,233,348,338,851,069,283,003,171,939,422,023,607,726,213,850,
349,969,499,691,572,852,024,197,092,168,824,144,938,268,755,880,326,620,981,
691,394,018,523,850,138,523,474,131,252,829,559,071,530,699,126,686,919,168,
234,435,181,643,459,131,772,672,280,702,277,457,637,039,890,391,552,558,592,
118,153,886,705,542,085,012,888,186,423,938,729,659,173,373,419,489,912,760,
480,303,600,050,907,479,685,723,774,112,708,826,235,482,026,311,696,748,771,
635,354,771,487,325,248,734,168,031,870,771,522,965,780,385,870,366,173,773,
675,846,270,056,256,119,185,363,301,581,301,016,703,892,234,116,819,342,015,
630,811,056,749,436,543,904,664,460,423,402,861,065,133,517,614,021,239,265,
415,366,187,177,038,322,223,965,176,750,452,202,668,233,254,254,384,666,844,
335,774,184,329,045,032,419,246,076,966,181,059,424,521,076,492,983,204,129,
538,105,634,843,749,029,810,144,617,978,488,924,721,239,329,534,346,069,988,
517,081,353,692,166,629,673,725,338,797,134,504,734,374,245,226,950,167,433,
062,185,582,587,638,261,962,720,479,281,963,135,387,388,758,136,143,063,001,
341,463,609,564,913,210,092,887,774,386,806,233,362,324,911,880,013,264,658,
192,096,333,394,972,163,586,336,546,319,429,733,343,019,783,391,793,495,438,
519,434,201,304,894,047,464,037,980,284,612,571,617,867,640,021,962,191,130,
978,100,674,979,391,309,259,636,238,864,917,626,805,494,007,574,861,792,624,
244,465,624,541,105,700,590,234,175,001,169,758,719,106,528,693,797,713,915,
519,943,957,545,507,457,614,378,368,794,851,237,245,714,982,631,156,882,638,
387,591,445,519,737,510,972,463,585,603,241,665,796,865,947,336,813,599,632,
937,066,367,144,342,325,411,063,597,165,706,024,992,255,214,216,532,607,954,
663,700,805,152,108,088,740,925,924,488,716,407,881,735,499,215,790,971,185,
651,932,945,492,345,634,881,000,905,249,113,483,102,066,767,313,338,243,767,
589,052,221,451,163,687,158,561,001,728,264,153,217,810,548,031,201,896,709,
190,624,160,968,640,640,739,480,474,333,535,294,755,254,190,275,577,069,899,
327,193,413,931,509,596,307,675,763,124,940,381,196,376,339,965,729,103,530,
550,578,149,342,169,544,956,951,704,163,325,960,332,418,367,101,358,336,314,
303,651,829,784,502,916,951,505,772,310,463,022,845,894,730,761,263,864,820,
268,402,072,145,990,442,976,793,987,043,710,945,595,481,771,311,135,008,332,
777,298,387,862,343,779,601,548,401,608,032,905,545,886,331,946,587,531,509,
904,963,622,023,977,438,123,745,005,652,841,625,727,379,658,131,333,279,120,
136,195,402,261,086,951,914,259,224,237,503,771,877,173,452,632,843,678,390,
516,300,899,221,018,409,610,756,431,283,753,009,355,514,336,290,965,146,079,
018,757,793,361,884,021,710,398,390,301,485,095,004,467,153,651,763,726,879,
759,199,773,681,277,144,467,167,240,000,318,441,695,865,291,022,099,711,227,
029,884,511,122,649,954,057,516,810,161,213,336,879,471,994,245,020,290,975,
588,882,669,667,014,090,764,707,697,619,233,634,134,886,322,948,227,773,049,
646,368,066,246,334,122,719,786,926,124,982,496,412,265,771,627,626,320,364,
789,403,797,822,713,573,606,298,732,256,037,486,014,212,041,056,643,575,593,
141,627,739,310,956,264,966,857,074,894,146,818,534,740,766,859,329,573,174,
468,126,003,102,383,288,330,653,213,805,603,636,812,322,040,678,936,490,766,
587,360,948,429,936,809,235,860,669,255,699,345,557,617,695,237,281,683,795,
531,757,035,220,603,697,931,328,530,826,647,522,716,585,068,128,224,710,214,
807,364,864,731,280,527,481,955,815,816,559,875,983,142,320,986,605,642,248,
198,086,102,503,848,806,331,107,209,496,892,577,002,582,806,880,096,309,170,
912,103,055,770,106,696,768,535,091,515,746,262,933,198,848,655,777,677,480,
660,996,838,350,550,260,029,415,459,804,154,162,298,950,071,590,648,069,762,
339,508,588,305,308,901,679,362,919,377,723,162,007,605,683,299,958,571,634,
462,692,486,448,168,641,357,913,018,615,642,043,432,765,443,534,059,542,703,
252,796,227,611,295,358,884,279,749,974,813,938,829,283,702,314,011,903,667,
295,138,103,489,051,924,088,401,739,553,134,758,298,983,701,779,841,440,455,
898,800,464,647,648,549,153,480,689,064,904,867,022,168,875,040,066,814,744,
236,086,288,771,528,483,246,266,344,233,095,140,212,896,306,518,778,449,450,
812,663,389,451,585,911,619,791,809,386,830,308,276,676,347,776,937,363,095,
267,241,495,198,972,089,895,839,543,881,908,270,713,415,325,650,388,006,572,
529,607,698,219,645,504,825,586,202,740,265,324,056,705,165,861,524,641,645,
429,496,088,875,213,474,338,476,847,083,604,322,830,641,671,229,445,226,691,
518,302,074,155,468,386,282,678,752,767,360,927,038,774,676,455,676,041,451,
456,971,273,468,245,530,064,544,410,242,406,908,175,462,145,822,269,576,346,
924,958,950,076,856,499,960,027,409,576,487,691,557,370,063,950,716,622,391,
076,135,540,488,392,038,791,704,369,423,085,481,006,305,081,170,728,112,124,
232,373,253,100,848,845,975,215,430,908,727,152,848,130,925,021,295,615,612,
905,101,783,623,957,574,402,431,893,943,431,387,412,388,409,578,231,979,284,
781,665,262,194,615,605,162,352,254,383,857,409,370,323,923,165,268,580,981,
619,042,293,981,982,273,040,189,299,923,414,179,508,112,284,827,834,252,528,
098,691,174,853,461,442,008,858,079,784,793,134,266,415,691,943,365,635,126,
582,140,027,821,166,789,610,851,790,087,904,739,586,794,747,420,185,256,933,
936,605,613,882,835,136,565,063,041,318,029,667,428,677,762,853,466,939,527,
819,443,832,938,741,122,922,705,331,353,018,564,836,511,267,998,969,764,676,
223,776,428,903,955,188,266,689,655,615,738,012,341,733,428,768,917,627,281,
843,064,542,415,022,808,285,946,433,317,789,235,758,307,856,260,236,355,756,
131,407,040,250,224,985,668,466,444,973,960,679,087,858,564,921,801,126,065,
757,235,796,765,570,378,449,761,231,998,206,846,961,490,466,969,411,322,013,
643,485,338,522,350,525,969,312,331,054,064,504,131,223,099,203,018,481,219,
858,122,989,313,888,773,848,496,310,709,336,154,887,246,833,614,791,934,268,
215,945,433,245,712,956,338,843,870,368,175,717,958,329,620,388,956,703,706,
670,805,272,702,840,097,230,401,539,451,666,238,879,722,752,117,655,114,214,
752,105,638,132,673,261,930,145,638,661,568,562,151,430,888,103,774,430,513,
033,972,702,105,190,476,937,750,702,258,211,256,463,161,002,149,805,252,363,
978,886,226,677,159,871,916,473,672,614,053,303,400,773,306,993,847,958,990,
053,907,937,987,681,049,811,295,757,036,648,046,103,181,479,003,639,664,103,
647,327,639,939,611,623,573,798,697,051,679,321,415,882,270,419,591,798,542,
492,606,585,771,865,854,673,243,057,538,622,813,127,713,814,883,432,543,127,
794,010,067,415,191,081,229,158,997,201,894,707,256,025,237,820,957,155,849,
930,342,597,691,057,986,847,689,095,019,844,764,590,095,926,278,030,933,009,
527,501,215,562,445,640,611,523,812,537,180,513,676,076,741,677,649,835,846,
503,607,470,448,467,868,192,464,849,276,007,909,022,056,952,430,387,013,892,
838,173,583,220,162,481,308,769,141,401,491,342,876,943,683,033,529,383,780,
761,328,302,737,722,872,033,168,782,189,729,895,312,264,017,094,768,420,687,
378,041,280,209,947,086,327,614,702,009,114,613,434,534,104,165,340,955,448,
540,936,743,000,778,741,233,981,932,971,149,154,807,145,902,106,330,170,542,
027,761,558,104,500,864,385,910,862,812,445,087,818,474,479,348,988,562,390,
665,690,644,834,448,710,925,159,490,155,380,679,370,401,960,166,631,861,150,
398,183,552,736,759,757,358,160,264,603,986,267,476,503,037,169,662,564,462,
089,622,181,159,820,707,702,507,757,546,016,184,206,550,190,392,927,888,396,
583,945,640,071,561,254,687,972,466,357,190,685,490,965,989,314,811,695,800,
686,242,752,138,558,908,364,175,413,324,047,942,964,989,021,597,552,136,568,
633,680,524,289,261,230,724,839,517,357,488,499,798,011,592,988,622,934,036,
441,445,089,951,175,338,551,970,448,931,531,439,647,839,029,799,381,578,282,
171,104,487,373,612,570,237,029,762,308,809,897,787,123,781,897,690,886,115,
791,818,865,903,703,677,062,451,574,934,606,647,402,415,201,135,089,911,695,
743,477,281,181,107,004,369,995,784,506,898,679,903,250,095,261,879,673,724,
107,084,844,480,974,443,758,692,310,476,338,082,430,202,210,251,428,391,639,
851,131,627,678,161,632,854,135,564,583,419,470,141,749,136,181,990,177,051,
415,841,170,518,948,487,529,905,517,517,396,082,692,731,419,327,414,608,717,
233,058,785,678,567,802,625,022,189,345,738,333,682,725,081,451,080,931,295,
156,308,046,193,755,024,516,268,611,708,605,286,170,394,973,869,944,623,053,
856,835,874,343,382,004,283,973,543,757,843,026,192,532,167,812,245,186,200,
743,895,554,946,755,665,054,005,592,489,721,624,298,651,226,784,516,909,814,
150,133,544,265,489,623,647,083,591,021,806,538,543,866,205,442,647,205,678,
828,592,426,081,591,700,787,988,396,919,368,447,309,811,877,089,084,640,672,
671,041,955,271,605,503,728,657,756,541,404,460,934,086,927,156,128,327,258,
294,857,874,614,032,969,122,184,805,643,709,367,724,962,199,309,661,128,954,
893,153,503,241,118,761,190,416,065,864,661,007,965,348,206,929,188,324,228,
161,315,236,939,386,927,069,784,544,412,161,494,383,089,054,734,505,546,477,
925,870,828,753,496,755,902,159,659,869,951,191,962,044,959,969,281,935,900,
841,249,514,602,107,694,855,822,975,283,342,505,855,006,062,754,132,065,845,
975,894,175,518,934,207,087,850,500,574,242,774,652,234,273,516,528,855,397,
472,299,599,628,639,531,134,757,183,626,060,924,409,180,514,126,323,060,494,
727,535,048,893,163,090,623,231,693,062,011,050,981,798,934,780,102,605,857,
407,810,214,306,798,696,783,577,915,019,378,262,029,859,559,210,611,558,087,
725,889,293,554,383,284,749,713,348,665,898,280,333,697,117,502,829,762,320,
429,542,181,088,571,903,595,150,019,088,268,637,374,937,704,703,031,859,207,
679,905,703,688,732,118,557,059,015,409,976,683,860,043,524,565,605,624,883,
721,674,078,440,196,204,928,520,942,632,337,687,359,666,311,364,937,914,086,
753,501,787,344,523,188,676,358,732,431,549,885,811,685,794,000,662,851,804,
787,554,003,191,775,860,602,727,940,337,982,189,295,245,190,460,118,874,669,
317,864,880,161,636,961,196,443,127,596,916,186,476,836,013,585,508,011,217,
739,615,606,173,363,455,324,594,167,108,377,450,819,073,876,290,695,681,771,
632,782,514,884,845,021,603,538,704,738,462,000,027,952,158,911,587,215,965,
060,146,860,447,835,807,277,950,513,182,545,956,114,136,802,513,274,790,030,
367,477,997,575,687,812,495,333,339,017,898,540,893,573,488,677,830,461,671,
280,945,901,897,915,052,571,598,321,547,947,195,874,042,301,120,113,748,699,
180,551,195,533,428,247,847,209,268,497,221,303,048,776,474,065,087,620,760,
118,484,829,411,448,082,780,983,065,007,682,163,020,332,669,248,902,618,460,
705,364,377,516,811,610,013,347,271,365,510,937,880,969,913,276,911,219,817,
786,866,515,512,249,338,528,572,079,483,978,603,313,756,123,010,165,187,671,
348,773,659,129,179,829,497,527,506,462,825,592,695,696,393,620,702,455,196,
787,549,024,490,084,299,935,514,944,131,859,972,500,108,860,357,853,757,692,
040,567,063,397,237,282,682,589,003,964,807,850,812,173,036,601,207,400,775,
779,510,934,623,979,243,451,046,429,267,068,556,916,638,594,510,278,980,843,
879,120,725,923,137,157,745,113,935,937,347,656,067,196,053,827,484,656,932,
467,159,664,281,193,041,379,319,314,769,859,652,604,751,510,324,033,472,802,
617,673,238,917,150,009,494,149,084,888,044,255,139,002,883,264,827,451,340,
319,766,104,771,303,120,895,245,186,218,209,305,246,680,577,920,321,702,623,
330,844,929,932,244,009,097,105,534,976,248,000,899,177,657,527,268,132,921,
331,434,300,138,853,137,591,706,864,652,836,143,202,166,638,326,326,219,021,
167,985,228,589,562,568,468,190,846,079,270,695,045,528,317,112,532,434,119,
121,441,414,366,403,306,843,777,968,783,566,091,456,295,629,924,256,393,139,
167,763,237,643,282,674,453,396,462,797,901,842,845,968,383,456,329,765,841,
629,636,675,994,236,991,583,699,359,006,305,344,970,121,058,860,189,829,393,
073,470,939,104,323,517,623,987,459,197,690,486,121,761,781,247,573,010,759,
219,689,823,724,704,490,180,560,235,926,500,326,088,877,408,517,833,165,532,
568,048,556,689,405,385,282,856,452,429,948,264,045,264,189,991,447,833,004,
570,449,570,656,069,854,574,305,600,510,513,574,321,745,464,096,597,920,747,
955,205,116,460,934,707,255,492,566,862,166,570,333,941,607,363,538,061,944,
399,792,185,754,523,974,719,705,674,544,895,525,560,427,486,211,286,627,801,
219,960,655,052,544,908,388,286,201,816,300,880,109,001,597,207,310,729,364,
159,974,214,708,351,078,043,822,359,382,422,916,031,756,896,350,223,880,164,
995,117,103,689,644,878,521,281,299,063,941,885,918,939,840,151,287,450,118,
314,402,736,465,595,026,435,229,587,146,692,018,372,318,343,649,549,380,371,
355,767,122,979,134,113,674,959,426,959,760,331,281,593,105,027,807,996,683,
855,815,563,383,250,473,101,534,347,317,575,810,112,601,519,784,509,868,812,
952,143,852,633,509,541,128,344,240,186,722,237,884,032,999,325,777,136,532,
365,213,315,487,350,675,088,371,638,777,156,560,191,212,928,485,713,570,703,
054,376,499,499,839,005,910,912,705,408,246,561,481,035,041,403,383,016,187,
473,763,236,776,229,914,747,663,264,853,349,270,133,975,926,039,044,100,166,
552,293,725,551,880,553,178,939,357,311,405,383,790,328,853,153,575,672,676,
925,860,380,861,274,832,163,091,273,894,161,472,551,218,057,060,747,056,700,
458,340,486,008,117,252,108,132,273,963,214,854,698,024,899,796,374,356,006,
679,507,717,928,653,892,704,971,261,726,080,149,619,150,167,607,516,556,421,
279,924,298,413,234,906,803,501,566,949,800,878,019,192,259,737,385,769,903,
786,860,421,261,469,038,540,735,780,846,343,413,741,062,768,472,253,732,889,
441,811,260,297,686,003,180,979,299,595,266,669,547,119,437,280,701,902,793,
632,412,687,431,730,066,147,682,194,874,193,170,088,330,525,056,791,022,820,
644,617,493,771,739,776,252,335,053,714,117,321,127,767,107,756,020,332,890,
124,721,320,657,420,587,045,073,174,957,448,236,713,848,665,351,949,824,898,
772,992,546,535,811,510,953,294,641,403,109,285,423,047,392,117,201,373,147,
814,723,889,343,891,615,781,036,238,844,714,262,151,374,017,070,515,021,238,
274,190,802,984,688,258,236,194,065,656,633,790,620,896,640,835,337,788,948,
539,618,452,200,845,592,057,163,162,025,228,207,440,690,172,835,983,593,298,
816,684,208,915,759,311,756,508,592,925,354,665,251,113,433,827,215,483,633,
430,932,012,430,653,205,988,871,667,979,711,326,234,955,383,767,378,826,534,
791,931,747,224,862,762,802,756,676,359,325,832,082,418,969,821,821,222,174,
400,017,271,759,223,862,843,892,436,780,361,365,891,564,678,897,626,208,700,
975,852,465,904,393,930,110,604,835,762,278,836,806,357,529,711,929,065,388,
844,684,060,669,846,977,894,998,307,528,767,424,582,381,376,854,632,052,772,
104,459,720,310,312,425,724,800,605,950,246,681,927,052,356,814,556,900,030,
780,711,160,386,576,073,159,616,905,956,453,090,624,181,362,872,769,718,801,
718,624,584,778,953,587,498,627,266,324,214,814,986,500,820,674,926,940,998,
925,305,299,893,174,911,821,880,805,713,966,933,306,587,721,142,683,686,889,
966,518,600,658,116,111,388,119,428,026,133,712,242,379,205,520,626,190,164,
773,471,736,093,783,584,277,104,437,821,135,655,930,957,730,022,834,105,841,
259,989,855,565,500,105,592,656,305,799,579,096,127,524,554,437,343,640,079,
738,144,129,739,291,042,088,223,468,773,384,067,974,106,719,062,877,446,674,
933,429,012,408,921,732,964,084,930,636,738,094,325,291,054,499,365,369,584,
513,906,631,973,910,767,169,587,174,024,676,571,282,501,881,003,678,828,991,
317,219,598,840,875,611,416,130,789,327,457,304,252,683,736,215,028,436,548,
407,731,366,145,440,273,364,788,989,603,401,942,235,629,188,434,955,391,251,
931,036,390,010,627,922,463,694,382,067,740,755,552,563,624,048,855,726,357,
309,409,210,557,113,898,557,093,746,680,526,080,337,089,864,095,517,055,410,
477,808,210,287,295,735,547,328,244,431,559,436,989,151,892,449,581,967,060,
750,672,511,012,387,477,484,369,551,850,740,395,334,563,640,846,717,116,463,
913,456,877,622,836,181,565,199,296,606,292,016,632,780,706,868,279,672,330,
204,783,571,554,819,168,687,946,136,978,764,374,664,100,987,737,271,780,464,
385,196,629,576,208,972,309,106,071,210,191,756,069,142,999,495,480,127,603,
386,804,891,365,723,218,659,409,825,029,646,008,502,153,043,771,341,645,170,
185,305,702,235,139,127,852,847,835,759,273,986,028,787,466,859,879,642,634,
726,997,156,075,268,798,741,381,994,279,962,473,727,715,389,037,329,291,496,
846,283,271,169,551,544,747,493,698,947,507,448,806,451,437,802,881,991,273,
523,807,194,674,361,157,216,524,027,556,794,895,993,134,612,878,422,026,872,
867,570,878,616,983,807,561,898,437,160,929,009,452,297,678,614,593,896,592,
122,432,940,137,104,097,312,820,614,622,594,536,956,305,325,815,459,839,527,
430,712,804,687,840,737,446,952,261,391,442,135,551,060,846,232,127,630,079,
246,398,148,469,113,401,922,979,177,181,214,566,234,253,893,414,426,224,597,
951,651,749,697,133,024,829,012,866,912,340,858,093,471,246,730,050,985,639,
760,436,918,409,351,400,339,215,301,301,490,357,209,487,881,391,012,761,179,
745,373,499,366,081,620,838,908,022,899,653,003,517,338,673,898,777,561,664,
539,214,131,624,059,091,409,915,106,301,966,106,957,877,820,849,006,696,168,
586,662,602,506,768,738,810,660,100,095,770,460,259,680,642,358,485,897,546,
631,565,557,127,525,963,572,709,455,926,038,723,255,103,017,599,022,409,151,
209,833,800,517,439,585,868,668,273,027,060,016,583,138,350,532,322,772,227,
709,926,196,899,773,325,296,280,713,836,109,381,133,517,469,433,644,722,920,
272,860,933,384,409,713,326,654,583,030,732,524,404,189,702,455,338,946,621,
129,625,778,998,797,479,318,090,454,801,100,222,578,683,473,145,011,123,558,
819,267,326,084,916,470,022,738,897,618,124,245,039,950,924,147,214,719,176,
977,105,717,277,241,539,146,485,623,027,802,219,624,494,893,101,058,022,130,
444,012,320,149,561,800,194,134,889,732,091,064,751,103,743,740,916,491,669,
969,825,466,276,097,990,052,492,098,343,088,165,060,989,323,305,414,581,910,
620,500,308,880,683,411,322,443,546,289,124,166,887,324,102,370,854,982,172,
281,540,552,235,678,490,558,625,259,380,499,144,444,209,999,284,153,730,427,
895,304,140,783,982,858,625,395,711,565,112,832,432,874,397,754,757,055,743,
516,183,132,782,792,780,845,881,515,397,452,048,777,452,178,235,334,152,261,
647,990,123,968,098,854,100,940,153,203,767,384,928,387,739,746,890,332,438,
090,236,834,922,621,386,933,980,830,578,332,585,291,196,674,782,627,020,171,
527,207,170,550,898,382,934,831,777,061,409,541,767,527,878,270,046,226,255,
931,116,599,330,191,694,668,442,393,394,611,041,249,377,109,340,396,773,288,
836,385,649,322,011,944,659,621,177,586,692,203,596,894,413,488,084,003,177,
317,902,769,881,101,728,728,404,923,572,579,936,175,953,365,303,576,212,770,
787,744,874,076,537,804,477,429,688,750,720,112,351,148,914,385,244,203,792,
791,041,224,179,110,437,937,670,412,148,465,954,103,216,769,859,127,193,125,
852,954,505,542,548,073,091,879,921,905,941,636,262,073,097,106,062,254,022,
547,093,485,151,118,532,704,331,835,925,154,036,587,325,701,580,667,347,028,
173,659,827,585,224,244,623,756,495,270,307,731,149,957,188,765,906,946,851,
652,252,697,600,923,049,589,739,654,063,872,175,255,954,345,517,753,874,421,
508,826,534,811,431,464,835,341,676,824,281,095,003,091,031,881,108,416,743,
941,987,443,977,896,811,552,631,844,134,641,574,267,990,440,295,475,231,422,
160,623,581,038,672,613,429,305,916,604,803,063,922,838,962,493,632,052,532,
329,254,243,751,257,342,810,433,878,231,640,275,524,179,188,471,126,433,185,
418,770,442,380,023,084,549,965,564,512,966,979,117,664,275,244,805,063,424,
500,306,316,430,314,959,680,474,110,891,289,221,454,723,105,427,634,492,222,
137,388,460,569,375,728,094,116,222,199,185,893,947,582,393,194,948,542,416,
848,373,366,199,188,218,292,533,474,038,324,722,817,397,810,781,173,294,483,
071,847,517,321,721,120,021,991,356,369,746,525,236,489,505,437,946,226,544,
463,510,991,184,438,427,447,857,479,663,474,887,371,042,553,569,136,753,129,
801,299,605,898,881,549,163,713,118,869,546,730,628,503,335,500,761,039,782,
519,643,570,705,137,947,201,123,661,383,166,317,301,248,914,608,147,579,456,
144,547,508,705,190,841,392,260,087,102,909,529,849,789,000,534,844,576,374,
528,981,574,943,767,483,684,822,544,660,909,582,797,028,621,678,069,465,113,
330,234,107,728,801,441,642,467,661,197,212,420,900,503,342,382,463,844,563,
726,030,102,429,468,730,623,482,483,226,955,147,609,072,700,587,348,048,480,
096,939,367,956,978,198,382,471,772,854,908,974,413,464,509,317,004,734,182,
184,078,442,397,009,504,955,691,931,068,688,151,929,470,373,975,604,946,789,
988,715,235,443,329,324,145,201,557,834,171,777,339,374,881,953,857,458,543,
186,350,592,585,534,235,920,527,712,010,634,269,326,669,272,112,777,368,176,
741,431,412,385,741,740,994,082,750,173,022,994,162,467,726,674,182,422,074,
583,206,526,035,429,485,271,856,416,958,012,637,404,319,340,212,217,889,490,
939,136,274,597,486,377,709,157,965,459,505,932,878,482,441,579,788,223,534,
251,229,644,370,475,465,479,780,318,023,840,197,996,794,770,452,480,366,964,
977,973,438,729,864,729,633,202,219,469,055,973,963,080,861,795,495,401,212,
851,310,368,439,330,403,010,211,432,559,747,897,343,988,794,975,544,957,944,
973,668,974,846,497,935,334,076,754,960,507,472,072,190,588,871,609,130,801,
309,585,701,397,913,080,027,058,701,246,962,425,945,967,307,391,942,826,747,
253,287,860,223,785,528,983,351,138,457,888,420,774,262,505,404,980,161,606,
707,060,120,224,592,239,373,004,662,654,157,305,726,874,768,144,249,650,623,
364,845,924,380,130,581,221,865,251,227,605,772,066,405,526,684,510,635,085,
064,550,111,387,012,600,520,795,106,102,918,960,412,049,395,895,974,097,592,
062,615,215,929,057,327,435,487,867,319,352,601,353,467,120,157,066,657,040,
508,480,644,610,171,280,452,507,369,881,896,570,822,953,403,963,960,633,906,
666,207,209,453,942,275,217,082,088,339,729,389,135,724,020,653,060,859,073,
323,862,694,441,963,423,189,484,509,516,988,387,045,538,264,586,978,743,571,
403,839,965,580,878,366,579,763,708,895,952,940,301,097,465,745,826,424,645,
987,121,487,956,373,134,663,605,761,437,988,021,153,973,898,010,695,838,854,
268,465,620,992,246,890,527,743,776,582,504,121,116,908,091,083,760,392,920,
926,206,810,419,019,967,274,626,412,846,738,706,439,508,676,856,299,811,936,
458,153,978,782,672,832,555,924,586,246,624,596,661,492,097,256,578,432,740,
412,185,125,912,612,013,816,758,745,983,051,122,432,938,795,454,777,454,116,
981,697,220,265,941,311,546,251,598,101,910,400,674,040,946,450,070,661,030,
184,026,348,157,583,998,656,049,484,570,533,184,247,811,698,623,474,451,064,
043,333,838,099,069,496,949,390,145,773,344,661,603,283,482,015,624,011,182,
097,666,361,304,012,727,877,914,413,842,726,270,532,901,823,496,106,522,587,
459,025,762,724,891,121,030,122,180,048,160,585,023,794,023,280,591,643,291,
990,203,162,425,862,217,960,566,974,629,017,551,178,513,376,440,216,123,460,
979,765,353,630,509,155,409,050,335,997,782,148,371,082,635,516,784,492,796,
908,749,814,080,898,840,846,736,409,332,163,494,699,275,305,148,388,311,169,
140,739,401,851,955,334,175,409,556,015,228,594,170,614,826,512,007,694,334,
069,743,971,620,117,392,238,195,236,007,193,767,228,240,986,634,186,117,989,
946,386,346,988,848,749,053,422,903,608,374,402,944,351,019,667,251,419,131,
499,839,632,567,245,997,145,463,495,852,228,106,551,232,105,846,519,285,966,
152,686,303,298,499,011,737,488,555,469,382,424,637,013,325,362,337,303,657,
541,051,109,096,655,202,066,518,783,879,837,203,698,431,183,268,269,803,317,
222,318,873,607,378,216,572,423,926,087,279,031,850,387,908,776,549,310,681,
753,018,192,025,241,756,176,071,568,479,331,387,379,041,977,244,419,526,968,
050,000,719,872,681,981,186,481,352,916,044,948,777,192,910,834,903,336,933,
816,221,679,717,995,505,506,713,012,038,794,651,481,657,972,636,555,440,172,
948,020,748,497,387,985,972,067,826,646,732,039,603,607,897,753,762,172,407,
006,501,211,817,100,982,037,510,099,022,217,436,153,859,004,559,872,911,533,
693,167,671,528,419,724,430,989,939,053,710,351,605,661,175,826,149,136,142,
653,851,360,701,350,465,618,845,392,296,125,153,786,931,518,515,403,453,611,
824,213,305,623,140,927,452,354,207,033,076,119,876,441,368,101,944,635,881,
588,196,184,748,384,746,722,219,574,370,963,756,627,268,745,800,388,361,510,
718,607,701,933,939,423,850,234,165,845,101,150,547,611,853,682,907,148,267,
338,528,706,292,099,007,131,350,656,229,025,671,287,554,943,547,952,333,764,
693,847,096,251,615,970,561,948,632,176,174,140,310,383,504,534,177,274,965,
926,298,835,320,716,405,932,600,133,359,410,003,150,728,627,524,566,351,666,
588,728,926,099,029,622,231,817,360,327,648,975,781,725,548,509,669,160,721,
904,402,832,011,047,373,910,535,912,325,394,440,898,162,228,031,343,487,807,
911,289,738,610,134,439,399,390,420,672,217,349,246,360,483,723,289,615,492,
196,813,894,223,891,887,502,094,920,844,862,437,701,145,530,023,711,439,342,
927,355,907,599,261,022,197,790,749,872,038,991,778,152,705,881,712,402,034,
308,374,810,286,617,535,926,603,224,423,076,415,012,599,652,727,094,443,305,
612,620,105,279,272,995,512,428,217,872,965,582,781,723,067,795,552,092,262,
433,747,283,502,788,367,691,947,382,468,217,825,335,836,655,676,736,784,061,
095,174,742,727,226,045,193,989,870,794,918,127,512,474,935,481,127,308,328,
916,213,733,880,069,451,468,535,344,862,645,069,540,282,492,749,481,080,752,
140,759,945,962,594,200,416,421,510,310,178,022,392,693,890,352,745,046,876,
377,928,240,978,680,043,487,620,790,147,786,494,928,232,499,139,095,812,294,
280,784,778,696,949,741,175,346,171,673,924,956,117,401,864,422,508,730,628,
279,398,280,757,180,551,915,154,335,954,381,081,832,481,894,834,528,168,655,
456,725,294,633,893,674,885,660,164,123,146,013,935,632,766,480,271,443,256,
531,681,048,463,331,405,482,557,500,238,923,623,866,943,795,283,190,983,683,
749,139,703,760,170,528,395,161,195,491,776,367,410,829,812,126,194,657,977,
633,714,166,140,897,015,926,274,412,613,404,515,510,259,155,877,868,203,756,
760,933,969,811,683,192,678,629,387,890,923,381,662,571,970,562,791,575,962,
109,410,974,422,507,528,202,887,095,486,350,184,078,819,592,552,487,326,615,
951,377,727,658,645,431,977,737,808,735,481,688,312,837,178,293,366,512,169,
257,080,868,468,531,087,255,841,184,923,257,697,789,159,453,964,584,197,367,
267,347,891,912,773,887,291,739,807,686,929,721,387,201,660,021,441,862,621,
778,554,863,553,731,885,193,583,349,174,746,191,865,184,388,559,984,011,898,
785,617,413,866,858,805,138,753,972,975,472,852,030,178,213,355,383,948,391,
524,071,379,239,203,155,733,623,730,920,980,139,986,903,616,118,505,554,067,
748,587,977,753,536,367,494,971,731,897,217,156,167,661,328,569,326,567,596,
605,729,590,403,170,561,071,306,967,784,055,233,118,641,711,679,042,469,467,
877,101,402,184,484,859,551,177,114,147,118,850,463,858,486,339,692,622,211,
137,351,151,739,550,614,577,428,719,335,826,471,772,770,824,507,819,484,678,
993,058,486,623,528,039,396,059,835,986,103,277,961,762,113,144,969,731,819,
589,726,922,542,000,865,912,579,277,475,899,576,829,886,886,866,009,724,789,
594,091,442,202,831,835,406,561,652,901,799,983,386,746,310,219,902,358,068,
526,710,474,713,329,450,557,669,873,375,793,282,180,082,754,237,738,663,501,
650,280,492,420,839,203,212,905,304,917,779,141,307,806,920,232,251,469,481,
616,133,480,190,604,801,631,727,844,449,501,047,174,828,551,853,982,827,858,
226,161,134,611,001,681,645,052,722,364,392,848,361,398,896,756,752,549,006,
793,897,369,637,366,001,943,740,895,491,720,553,947,412,032,205,197,980,904,
422,173,219,984,676,059,804,276,351,194,249,875,728,046,114,810,647,007,205,
339,483,904,595,457,813,064,503,149,394,013,455,435,401,095,895,419,652,176,
264,715,459,740,842,436,818,346,229,738,078,107,416,973,044,589,050,386,019,
436,990,440,388,108,553,045,538,212,885,504,372,305,632,185,332,181,243,289,
025,942,778,992,703,369,054,859,919,787,370,037,385,574,355,405,597,491,148,
129,980,125,311,065,898,364,128,695,317,974,299,804,268,300,171,552,740,510,
843,114,199,847,924,482,842,663,263,459,459,561,204,469,265,102,690,847,403,
744,233,434,486,784,102,246,946,992,770,767,577,361,937,770,830,584,705,818,
738,807,178,858,063,793,184,528,564,858,507,586,765,800,555,179,704,425,749,
068,576,958,403,325,967,225,632,955,869,838,425,638,478,144,318,155,919,043,
922,684,855,968,400,858,515,175,842,998,407,334,342,463,864,081,881,629,141,
474,614,115,167,286,290,950,568,637,913,092,975,509,145,999,880,826,156,667,
002,458,271,079,591,632,541,823,419,913,978,594,563,259,147,014,265,078,034,
583,391,558,943,084,961,885,945,862,006,821,530,423,836,306,956,439,264,039,
675,357,276,181,683,026,566,128,812,176,139,139,562,235,977,090,159,353,585,
263,421,319,484,445,861,628,272,620,616,577,806,330,583,090,916,353,995,833,
863,443,193,527,163,962,417,697,690,240,866,729,544,874,663,156,744,858,093,
012,465,061,049,308,489,477,832,003,899,420,167,561,668,599,483,440,661,398,
196,738,392,789,322,594,216,390,241,950,542,535,278,805,741,754,058,520,601,
685,484,590,638,525,781,616,701,824,745,074,344,857,083,836,761,304,449,810,
182,471,539,046,338,556,861,886,222,431,701,481,240,867,164,228,803,886,261,
141,841,828,712,111,044,502,533,002,650,168,844,800,790,509,053,758,341,434,
143,096,603,747,294,387,437,999,362,907,000,475,154,079,954,705,486,345,977,
613,140,286,515,017,686,306,314,226,188,828,516,454,541,233,994,352,259,817,
303,688,773,641,550,130,357,104,179,302,325,944,520,469,415,640,527,252,051,
740,137,116,390,026,731,898,292,606,270,279,775,034,653,591,397,745,703,233,
117,807,815,724,606,396,998,055,437,221,079,132,250,096,718,959,028,383,244,
692,578,322,990,303,397,069,961,858,020,487,261,151,114,937,041,361,361,130,
988,007,365,597,290,415,394,122,363,989,067,569,410,466,108,999,424,363,332,
471,655,399,407,219,125,715,198,174,167,558,092,059,518,979,950,853,927,570,
941,412,084,157,310,711,414,082,654,964,740,122,334,832,973,394,627,095,037,
562,515,975,021,391,917,309,711,249,779,502,661,107,611,779,301,291,850,313,
061,381,507,612,956,919,778,889,771,855,936,416,571,421,151,002,644,608,916,
864,422,803,553,162,187,252,378,220,450,664,287,325,874,642,490,820,048,998,
399,158,929,713,130,301,025,824,469,781,410,416,515,176,561,187,869,250,341,
148,659,946,712,087,965,020,980,840,280,755,820,171,939,254,436,420,186,765,
254,204,374,709,628,134,486,231,732,738,285,605,143,362,345,097,334,755,938,
633,964,246,878,434,907,254,450,238,210,508,773,210,833,538,248,781,610,442,
575,343,217,607,166,556,215,991,691,722,187,542,332,275,926,956,471,454,978,
589,718,343,630,397,438,452,399,019,564,447,562,114,506,705,106,838,930,855,
033,600,929,984,028,026,998,881,497,204,342,751,801,529,680,998,963,577,697,
851,368,050,409,304,246,014,724,274,454,137,193,004,291,758,373,489,630,580,
879,831,207,140,949,356,943,653,511,272,124,504,166,952,036,272,542,090,695,
690,734,702,526,445,960,626,120,352,834,272,498,229,344,825,682,831,531,392,
843,122,846,171,063,595,467,757,283,489,255,139,588,081,324,805,759,376,781,
211,086,951,679,460,071,424,919,716,264,720,426,662,687,220,823,732,234,622,
855,525,531,853,152,308,904,997,328,120,206,417,596,719,110,993,571,664,516,
923,232,950,100,053,570,666,043,286,797,471,684,730,159,919,838,816,798,215,
438,776,879,879,844,163,480,246,264,761,306,805,320,032,628,517,141,464,717,
233,170,841,872,647,285,027,336,166,993,439,076,380,285,988,492,043,728,539,
790,100,947,203,034,955,819,136,755,281,980,087,320,656,133,822,181,191,173,
914,440,301,320,433,829,155,389,160,210,958,297,653,411,887,240,082,325,821,
449,184,912,595,057,840,104,977,218,098,396,222,656,113,175,135,468,645,934,
405,376,546,723,523,190,105,541,251,014,954,565,201,968,896,687,691,610,073,
651,548,522,722,605,370,769,594,191,433,451,738,963,229,933,668,489,308,840,
148,278,369,959,836,721,207,982,493,951,910,451,292,364,233,334,747,018,470,
371,846,617,396,619,660,713,635,736,054,985,697,480,489,599,834,211,994,014,
992,060,063,849,057,184,832,252,502,777,135,740,660,345,804,377,512,615,658,
661,474,589,190,693,786,555,131,837,190,503,827,671,177,054,285,156,360,511,
363,398,149,637,123,437,861,323,275,330,162,602,537,986,890,938,702,896,121,
722,597,217,962,350,111,672,546,271,429,658,787,366,100,751,847,552,965,625,
141,542,330,962,802,341,601,997,953,487,191,762,534,993,122,803,812,941,421,
832,372,335,847,626,071,348,581,916,234,467,404,721,492,830,448,096,298,704,
053,256,330,628,777,853,299,311,711,572,380,345,295,329,047,837,944,102,889,
635,776,025,868,813,348,208,194,688,894,792,838,184,150,800,171,103,128,437,
013,765,034,459,535,863,954,500,601,709,971,923,916,249,135,835,138,621,173,
669,488,164,077,066,910,951,927,477,979,382,766,750,246,388,041,001,598,712,
237,309,914,520,368,089,546,530,129,622,133,648,674,096,722,637,136,140,566,
969,208,135,487,328,055,895,314,922,286,949,694,495,527,437,835,050,148,975,
939,932,154,909,322,952,037,424,102,674,378,810,972,548,260,817,175,860,917,
490,788,515,449,701,691,597,428,185,148,373,926,859,183,640,262,938,916,099,
304,337,938,377,917,678,374,191,917,642,692,617,522,969,162,859,333,677,867,
228,807,482,058,333,775,508,402,942,707,033,203,906,385,190,565,060,256,442,
742,165,008,407,856,413,775,078,641,576,364,724,447,342,031,122,845,726,474,
623,770,729,478,850,583,192,868,243,147,057,709,594,536,391,702,662,386,032,
349,976,786,280,032,483,271,149,700,152,796,873,077,693,566,697,523,627,008,
225,452,621,224,395,345,021,955,880,858,272,056,261,443,382,538,861,903,019,
129,828,650,290,743,526,407,243,236,666,595,884,431,463,505,786,989,497,462,
358,009,899,387,166,342,477,288,775,910,744,256,737,660,082,134,209,725,993,
071,029,809,440,997,913,010,113,795,445,751,315,052,706,811,258,078,934,478,
670,254,105,736,151,109,951,400,364,103,853,173,706,092,913,029,383,091,290,
341,208,595,713,099,665,516,823,428,686,902,222,565,930,534,186,529,892,194,
340,976,370,754,968,720,245,566,917,685,676,050,379,729,363,172,871,929,518,
291,153,644,360,499,843,989,062,220,057,570,344,823,262,427,489,782,313,492,
849,919,734,244,964,872,337,770,370,154,539,102,325,701,219,706,997,592,628,
070,017,086,895,329,179,342,766,859,232,389,424,999,007,162,326,536,124,762,
587,751,566,056,393,424,030,998,033,571,680,572,405,442,037,163,100,441,992,
434,195,570,871,208,239,994,699,096,050,880,472,668,314,007,502,338,951,314,
028,987,766,191,046,540,762,526,761,850,263,870,336,736,812,164,612,154,025,
554,386,289,448,414,321,124,509,431,914,181,010,700,608,647,789,216,907,141,
059,577,199,898,988,855,523,730,614,857,403,630,906,963,569,039,069,520,071,
175,466,109,888,246,347,678,402,635,029,126,631,862,151,778,482,217,251,609,
652,237,692,077,475,715,407,678,364,018,999,706,375,026,930,287,568,779,213,
320,314,315,176,604,412,859,987,672,156,324,594,740,178,178,639,191,579,362,
645,212,115,096,636,752,135,279,294,803,311,518,737,298,606,892,451,883,866,
314,998,186,557,617,627,825,019,726,429,936,533,363,691,880,599,704,927,295,
883,297,941,288,024,793,347,551,904,530,272,788,813,854,988,859,105,401,162,
557,643,644,227,827,943,651,726,299,183,128,765,127,607,183,858,477,551,097,
497,709,388,084,148,242,210,002,056,322,353,082,431,731,805,424,604,987,030,
054,289,334,642,545,582,151,558,640,951,848,552,229,495,955,301,342,270,133,
974,396,712,845,377,634,546,266,853,948,802,004,179,906,110,104,908,487,535,
366,972,744,540,144,490,409,962,243,306,342,615,449,170,921,293,406,397,321,
263,569,308,584,452,638,799,766,923,816,338,516,442,275,719,026,442,806,151,
216,315,749,389,641,445,798,419,690,636,646,679,441,180,420,233,343,203,209,
919,600,122,232,686,016,018,440,719,441,136,423,332,986,410,222,809,849,502,
921,235,022,610,600,471,187,569,473,541,908,363,991,298,318,163,513,293,834,
285,853,612,160,389,681,938,962,596,330,536,232,200,050,048,082,091,670,576,
973,336,726,284,406,653,958,813,730,358,659,557,488,523,112,748,069,944,967,
168,230,616,116,156,690,157,772,401,993,500,216,098,542,512,693,521,857,395,
607,417,282,604,056,738,620,874,501,600,964,390,146,893,760,089,574,124,968,
674,617,261,126,166,642,102,501,306,372,885,956,375,965,210,924,742,930,971,
863,659,164,238,397,327,903,216,784,537,861,769,888,614,748,245,380,450,621,
792,908,334,824,379,578,653,172,889,989,803,253,327,967,841,968,991,152,740,
251,862,120,039,626,236,579,299,247,708,995,731,669,050,303,137,971,425,371,
104,280,498,536,479,029,380,908,236,787,665,941,722,680,361,665,475,240,858,
709,283,701,595,114,001,261,431,457,210,446,192,924,415,135,780,294,041,952,
221,475,972,898,743,673,665,286,404,778,798,166,214,971,345,135,904,342,543,
219,767,874,044,361,315,592,701,333,372,758,570,631,715,950,930,576,785,232,
330,926,202,116,322,569,284,582,127,047,159,949,786,709,950,416,839,734,281,
832,392,708,471,924,242,319,460,981,442,522,156,881,756,200,773,327,143,373,
164,784,221,421,340,997,051,456,756,803,342,263,750,972,004,214,659,549,463,
954,101,147,606,426,745,903,427,724,732,297,087,471,976,992,093,276,919,873,
972,821,420,467,405,489,166,295,922,922,815,199,175,460,645,553,144,505,348,
417,120,912,932,337,945,410,709,725,813,619,716,492,352,977,291,010,112,050,
562,438,481,518,377,243,507,386,674,102,394,702,861,988,208,747,862,120,195,
395,072,946,116,543,870,773,192,864,528,484,097,096,140,663,213,554,697,698,
578,076,960,510,629,253,575,599,867,259,522,266,576,028,656,136,701,783,371,
564,147,260,500,484,410,421,503,106,771,436,378,230,460,145,984,464,042,676,
128,729,460,109,652,305,452,191,816,940,010,503,853,555,640,473,119,813,055,
212,121,319,201,149,414,476,308,405,022,258,171,891,476,527,582,675,064,989,
114,134,546,135,824,010,866,650,303,533,105,458,067,881,523,865,555,174,607,
892,945,737,776,145,284,540,106,513,777,081,310,257,238,012,456,121,728,030,
643,072,614,836,504,657,276,331,183,539,679,969,876,747,008,870,916,565,144,
657,600,495,891,684,118,787,082,889,274,375,908,380,320,460,959,341,125,822,
530,830,035,977,104,657,927,168,420,560,527,058,896,774,606,391,203,937,305,
850,727,768,384,617,512,765,721,877,847,127,169,871,809,715,945,061,351,738,
519,203,179,738,405,122,089,845,163,648,799,575,631,195,206,549,738,017,929,
287,648,697,338,122,390,138,181,636,027,482,056,871,547,081,370,593,833,990,
734,243,771,137,298,774,574,780,383,008,040,651,730,366,896,816,746,751,083,
885,765,876,743,425,958,250,215,176,351,763,570,613,643,928,527,886,535,588,
871,068,965,845,079,597,032,710,105,430,966,492,900,874,575,120,751,699,163,
947,243,779,059,275,023,276,125,164,164,636,625,070,512,999,686,347,579,254,
682,357,604,718,306,095,569,574,121,362,148,786,890,960,143,863,999,942,679,
732,634,176,850,031,296,622,017,832,757,897,928,250,560,207,156,251,891,865,
959,154,966,040,936,583,505,207,437,398,111,398,970,357,070,237,644,707,465,
119,318,791,212,687,161,722,042,326,023,747,049,972,285,465,698,940,007,629,
423,651,320,233,225,864,545,329,665,351,856,400,968,286,980,124,688,034,047,
557,303,981,861,473,939,946,657,774,581,561,511,107,356,960,673,323,333,344,
141,806,865,236,067,625,806,248,378,498,828,143,075,543,080,290,983,651,873,
786,407,309,317,016,483,654,762,191,393,626,916,093,004,026,560,633,300,472,
924,038,334,742,762,242,976,774,070,107,765,611,367,922,564,604,449,732,354,
487,778,689,262,269,605,614,786,193,191,343,052,748,554,276,527,847,491,462,
575,963,250,099,116,510,289,501,498,595,849,673,352,285,212,028,212,459,601,
939,765,655,191,691,798,033,943,696,193,468,871,468,079,651,308,280,748,060,
874,695,838,046,626,926,941,009,906,981,008,186,040,327,976,336,620,484,599,
662,559,058,515,047,057,754,960,434,071,829,656,213,550,648,794,386,911,744,
396,729,740,810,473,932,330,023,478,561,154,777,464,501,934,638,022,585,427,
116,695,990,995,246,186,308,358,145,175,162,699,640,766,983,616,768,839,574,
433,854,241,490,594,502,429,319,992,495,291,643,510,091,303,970,121,046,783,
904,955,083,896,963,535,477,392,422,208,402,461,429,961,699,647,376,200,388,
636,949,202,643,109,444,368,271,820,687,582,012,154,997,769,852,119,875,767,
228,859,323,168,110,833,905,155,557,134,074,460,633,820,650,859,801,212,816,
315,069,635,604,144,988,261,500,575,643,649,320,672,789,327,013,760,740,132,
079,749,234,779,581,284,046,407,978,091,194,824,271,479,355,738,942,552,455,
387,202,663,250,519,802,364,056,466,159,697,628,528,239,005,776,355,956,653,
281,663,992,164,444,790,233,577,030,824,309,262,829,334,253,825,930,909,602,
345,244,818,899,071,156,651,223,990,182,720,985,405,159,020,823,754,836,103,
158,979,201,725,266,643,175,345,487,004,261,239,811,677,139,684,127,787,194,
984,501,712,274,960,105,987,469,204,569,277,426,405,693,227,135,977,965,313,
653,884,604,653,395,793,410,475,804,816,299,737,126,199,021,373,071,219,313,
779,723,707,626,768,479,615,378,695,351,587,512,540,392,122,688,539,317,939,
192,216,744,726,619,714,887,672,843,534,117,673,488,141,118,839,156,142,782,
915,913,456,494,000,525,770,527,321,768,352,036,312,513,756,057,215,341,723,
046,702,401,067,507,236,865,176,622,602,513,190,066,600,432,271,355,554,958,
233,850,960,374,397,559,722,703,047,614,948,416,633,940,149,622,684,084,474,
035,589,544,980,407,162,268,643,314,393,301,909,834,743,134,913,918,870,277,
000,133,710,956,663,654,286,752,428,549,123,601,049,233,420,450,319,144,803,
057,533,175,069,909,401,928,305,475,769,103,035,872,454,441,592,488,715,682,
429,123,089,237,167,254,639,800,524,740,787,761,705,208,876,433,373,105,368,
725,752,244,497,718,454,340,505,285,699,879,141,239,847,796,785,572,579,896,
843,492,836,185,115,262,654,380,391,741,734,691,654,115,127,738,655,982,585,
189,870,450,036,040,975,667,682,134,084,002,258,973,553,337,726,653,602,766,
256,354,067,611,937,637,880,271,546,178,404,731,093,163,021,504,813,528,494,
282,402,964,049,396,907,449,880,041,367,332,424,763,618,956,867,718,278,729,
769,082,513,782,736,130,916,557,985,642,392,042,061,383,705,796,231,856,464,
562,339,931,494,968,207,919,630,231,239,576,595,629,876,797,110,229,791,448,
221,057,562,400,420,675,195,215,030,330,859,948,692,732,429,022,940,994,938,
925,965,723,074,589,153,888,432,617,168,368,207,968,605,076,949,874,851,613,
733,398,662,901,039,567,697,502,975,430,978,820,757,790,397,666,645,697,547,
547,929,466,559,003,813,688,913,045,022,694,293,854,467,691,543,616,520,270,
642,689,874,554,973,924,497,279,191,870,806,975,035,544,678,681,908,869,180,
476,420,857,169,939,331,958,229,553,244,869,678,964,518,915,603,483,421,418,
148,396,845,626,200,646,038,456,327,074,227,274,516,452,760,976,354,431,706,
747,355,157,929,180,697,442,873,583,167,190,969,675,830,555,580,923,560,012,
522,350,090,725,057,580,337,737,590,558,744,743,413,029,191,898,933,078,125,
737,967,897,541,565,402,761,941,605,418,156,765,705,223,149,604,774,062,499,
539,483,685,445,878,500,915,192,041,699,898,686,143,125,313,042,692,565,009,
257,265,021,425,481,164,273,012,604,391,503,941,348,009,418,404,890,249,604,
470,770,503,380,194,952,877,728,490,709,182,705,179,313,548,184,642,268,723,
492,760,834,316,876,109,206,344,156,440,095,244,136,496,420,477,080,996,051,
939,004,745,977,852,352,937,406,090,401,096,470,519,244,835,486,981,840,279,
307,223,655,587,325,718,686,504,464,901,015,746,249,480,565,575,641,704,653,
016,928,598,016,540,111,840,014,530,675,069,834,324,314,946,061,202,628,065,
733,567,850,260,639,920,011,355,106,913,555,734,357,218,533,658,667,300,691,
753,227,250,316,101,478,746,735,298,349,717,546,211,319,607,091,328,571,103,
476,421,454,554,823,752,008,416,722,660,508,772,982,976,519,999,078,120,401,
073,304,345,158,908,945,369,916,272,159,854,799,968,733,297,099,188,268,872,
019,555,489,174,491,234,468,997,119,107,924,025,608,684,927,513,626,981,387,
017,719,178,937,751,542,804,155,017,076,272,240,998,331,287,505,654,751,880,
083,926,865,911,805,498,614,579,045,509,048,175,788,074,538,948,748,119,747,
270,528,399,264,066,191,276,332,015,212,120,300,910,065,849,027,683,564,525,
846,320,185,645,087,081,075,208,892,976,702,405,411,893,526,568,334,481,799,
633,050,393,958,951,954,690,409,049,674,018,604,312,412,508,198,963,409,719,
296,702,990,971,221,362,831,350,028,965,361,725,860,925,396,274,512,701,288,
905,947,153,946,243,935,587,044,207,904,841,129,009,361,831,075,324,150,030,
882,513,381,253,591,834,552,091,396,527,841,684,105,793,320,053,505,174,552,
745,896,108,829,022,378,450,688,543,711,417,668,411,245,890,220,140,742,761,
227,727,870,609,518,983,009,280,550,874,932,873,390,387,558,483,039,953,878,
015,427,216,409,131,002,753,453,538,835,729,588,220,630,370,419,263,781,422,
767,921,149,398,114,486,872,911,862,602,231,997,863,357,351,186,661,547,583,
092,118,910,387,438,716,014,135,784,677,041,857,649,063,365,477,310,336,143,
847,716,262,151,788,645,137,560,755,160,179,960,285,352,825,103,419,496,908,
839,282,741,273,972,313,727,709,894,298,930,047,177,271,762,466,710,396,088,
570,173,660,788,749,218,810,525,183,668,856,540,854,044,485,090,999,957,637,
319,169,454,754,907,582,960,853,928,381,726,212,115,925,306,418,566,680,690,
388,577,261,415,282,533,084,493,551,234,373,672,862,625,131,466,740,878,360,
291,123,672,786,261,628,240,941,500,315,811,395,642,701,632,410,323,846,478,
065,121,167,364,804,295,796,886,372,838,527,058,989,199,733,430,598,987,076,
762,698,870,699,715,985,063,615,327,657,408,921,055,455,234,272,476,204,927,
480,923,014,430,990,578,800,807,161,539,149,548,134,663,399,259,190,959,947,
388,850,154,470,571,297,436,435,150,311,170,583,326,119,370,392,197,703,963,
849,702,609,391,209,424,462,366,603,650,180,337,686,096,877,228,397,863,028,
660,246,574,332,252,144,465,923,678,999,862,898,938,614,698,654,018,508,636,
614,299,151,789,629,686,713,975,760,079,958,676,399,362,550,053,608,607,407,
685,919,970,832,043,465,308,349,111,590,820,972,171,324,014,212,843,595,422,
890,959,573,248,020,444,934,802,432,202,034,182,892,814,661,362,115,609,854,
925,933,048,856,635,934,809,730,316,092,222,781,294,418,573,863,250,605,328,
769,756,646,367,095,147,898,004,130,992,471,871,852,943,361,949,575,264,787,
544,227,185,429,922,477,882,588,272,263,284,443,087,331,128,226,051,896,019,
426,775,664,106,054,048,530,253,537,830,405,822,415,235,947,074,693,322,246,
087,628,157,814,656,706,675,849,233,138,695,478,630,340,169,887,442,672,495,
698,955,891,336,264,445,024,161,480,118,233,072,580,103,894,698,223,996,277,
147,735,779,128,738,298,238,610,457,249,232,307,529,793,202,083,722,938,998,
844,547,634,905,040,751,402,139,503,056,774,894,834,411,311,131,530,236,830,
209,470,814,778,329,822,763,877,015,074,136,609,294,385,642,174,189,861,364,
065,050,635,037,359,405,918,288,039,740,603,804,266,242,471,986,485,862,963,
208,226,829,594,583,880,957,103,661,921,091,833,142,005,661,327,769,727,938,
858,108,108,114,055,557,419,611,849,604,694,821,152,102,156,210,952,045,251,
516,926,645,484,378,549,439,981,702,939,197,979,773,490,874,934,959,244,287,
731,416,116,736,750,746,616,787,080,837,370,696,556,520,590,878,241,329,464,
855,800,186,124,781,520,669,386,214,660,540,155,365,822,976,075,243,906,764,
729,099,784,177,870,205,876,627,508,367,688,582,678,084,420,239,638,713,923,
900,631,315,652,207,494,423,977,702,260,073,293,935,291,491,424,963,902,639,
302,056,795,482,287,234,363,753,371,064,772,956,608,762,815,296,542,887,558,
705,605,393,141,572,989,164,622,367,055,017,422,615,429,851,620,507,963,960,
728,358,364,110,280,515,741,933,776,557,725,265,846,020,893,147,894,822,977,
448,320,605,626,846,336,034,265,710,513,834,966,053,795,050,673,596,848,772,
114,838,148,023,635,652,206,854,247,449,522,531,124,875,047,359,838,478,069,
795,397,379,092,807,175,204,576,819,158,481,701,414,908,946,752,767,336,293,
949,728,666,450,231,174,472,610,651,460,741,148,321,053,084,498,083,586,667,
725,984,375,939,363,180,001,105,442,187,130,663,355,514,841,823,646,574,882,
978,311,392,248,343,148,025,122,616,516,405,886,818,672,861,092,360,534,445,
778,115,626,911,592,573,543,079,152,182,433,940,924,818,535,380,202,493,550,
352,520,969,348,975,406,795,024,643,063,836,128,562,571,454,595,608,833,176,
903,961,265,317,953,191,752,858,134,483,593,308,836,464,869,773,360,061,671,
123,179,516,808,205,214,872,919,986,222,735,373,597,028,348,167,686,016,815,
795,824,320,758,194,285,649,750,711,425,555,515,069,472,770,841,895,414,932,
505,370,587,143,730,138,107,451,421,279,226,505,997,234,520,091,270,732,024,
276,610,180,884,569,970,618,911,290,845,386,305,095,730,978,321,044,847,043,
965,350,848,612,653,463,656,819,409,706,686,661,122,237,414,482,125,014,478,
626,873,796,426,934,222,004,441,163,611,484,017,260,522,669,358,508,984,874,
990,932,574,297,770,803,154,429,927,538,331,782,682,909,128,707,204,776,986,
914,970,250,365,402,001,967,605,464,126,039,985,830,827,628,799,790,253,449,
362,707,811,880,760,063,687,643,121,894,245,599,062,532,196,235,208,812,884,
186,687,199,431,644,773,487,794,659,470,112,010,181,895,902,799,515,788,185,
990,931,329,104,503,292,119,150,412,429,308,852,424,657,144,187,619,574,441,
110,387,985,816,184,148,448,559,378,771,856,922,527,188,268,408,438,075,702,
989,901,407,694,929,705,808,789,400,349,200,424,964,510,038,677,484,719,943,
360,495,721,630,385,617,731,346,182,594,891,446,972,141,993,929,243,446,213,
714,838,436,435,363,059,075,620,443,904,592,591,084,193,162,493,881,911,528,
954,679,782,509,377,914,505,106,599,671,282,450,846,693,831,964,318,323,914,
496,912,267,498,856,809,867,277,251,400,609,937,450,314,450,087,655,882,622,
389,373,654,546,373,018,630,231,859,269,569,383,132,926,852,043,485,209,304,
253,562,505,171,315,194,807,164,156,009,232,976,744,119,168,371,552,453,785,
393,662,700,269,140,913,005,464,340,468,339,841,614,842,372,442,637,801,973,
886,925,089,990,482,085,997,990,231,938,492,890,915,535,716,952,132,916,409,
753,497,826,066,150,090,016,160,700,576,026,860,269,085,539,894,198,252,536,
571,333,885,359,698,451,857,870,714,019,533,841,382,165,020,055,241,710,306,
070,004,747,127,459,389,006,920,094,333,893,074,216,870,697,844,165,269,334,
414,117,907,394,717,482,284,208,650,034,961,060,402,305,471,710,334,282,015,
334,878,914,753,754,317,106,298,426,059,775,903,625,545,182,546,200,732,508,
333,554,778,736,874,556,992,351,490,475,372,527,937,934,706,476,164,303,881,
759,534,808,766,266,782,027,270,103,304,387,436,282,698,636,171,127,685,405,
051,292,333,220,046,031,597,722,012,528,436,129,225,423,542,907,611,722,888,
382,806,899,766,483,822,450,732,938,906,468,194,942,396,601,936,060,423,119,
847,859,032,256,355,335,732,072,776,768,016,415,629,462,714,917,707,319,902,
355,195,228,348,765,126,926,949,842,965,834,167,136,650,055,021,406,385,281,
771,909,984,337,924,737,099,693,527,214,780,415,583,552,914,011,214,569,952,
021,810,487,193,100,943,874,302,013,779,155,523,282,564,938,633,231,802,076,
414,715,337,797,540,450,291,309,875,863,631,889,663,237,027,029,882,612,377,
496,007,728,489,250,798,528,732,645,005,567,577,320,862,132,920,935,185,553,
465,261,376,621,000,343,178,268,929,963,456,224,085,973,444,729,381,305,385,
295,891,910,265,130,317,389,514,778,469,077,280,070,070,250,240,845,831,850,
628,017,496,576,409,027,196,988,246,801,577,407,624,940,712,636,221,859,158,
201,176,589,173,159,604,916,729,637,549,366,077,883,128,060,526,799,718,063,
430,489,368,757,754,619,332,828,993,393,639,292,620,477,314,284,059,340,697,
626,345,432,673,348,266,043,561,052,964,020,605,049,783,028,046,425,253,173,
667,745,568,141,455,707,566,093,266,961,821,908,621,866,426,182,839,000,737,
355,773,218,059,665,731,373,873,094,921,375,869,139,717,018,099,837,621,632,
484,727,810,891,951,790,291,832,144,240,120,731,720,262,262,575,196,071,576,
396,269,800,376,872,966,340,178,988,628,755,748,440,830,145,225,435,645,308,
849,576,868,027,820,858,570,505,379,173,193,559,471,884,629,273,438,347,848,
465,047,944,422,442,811,928,058,861,415,190,360,170,726,828,898,767,390,691,
754,858,349,198,218,938,749,660,006,177,563,875,187,388,186,043,114,016,366,
998,818,145,453,189,136,212,712,560,867,281,876,393,583,722,649,158,045,607,
701,403,369,080,224,665,689,646,372,784,420,944,733,399,159,953,736,814,166,
226,410,011,539,075,762,690,320,901,939,012,964,992,307,713,590,110,671,584,
347,940,391,960,457,779,100,028,811,064,549,166,350,186,507,801,487,604,691,
323,278,295,725,335,408,348,098,812,564,851,817,329,954,757,345,801,424,183,
142,775,309,686,954,021,084,141,701,434,586,827,011,956,541,562,338,546,584,
547,471,350,202,302,842,244,664,920,248,494,141,180,349,682,519,608,358,993,
613,637,535,882,289,564,625,440,083,120,503,264,151,170,905,906,338,327,602,
583,650,913,535,715,883,138,792,610,507,094,995,538,668,828,703,925,994,901,
144,324,738,480,114,164,581,738,176,503,872,497,255,183,170,084,663,138,168,
326,121,580,227,300,046,412,133,814,138,359,181,965,244,548,933,922,172,831,
363,058,919,124,726,663,588,448,224,697,241,957,892,828,191,247,905,126,601,
318,270,044,977,971,156,841,555,270,728,213,839,919,897,350,482,035,053,376,
475,054,580,322,241,130,460,928,195,691,800,505,994,722,405,196,704,819,964,
611,536,487,602,670,113,992,916,603,995,326,507,449,739,921,546,447,909,008,
945,897,679,476,201,893,604,402,451,816,490,756,788,631,614,251,398,775,372,
601,717,962,714,608,737,842,686,118,581,015,657,989,659,744,693,910,737,269,
972,184,373,987,039,350,828,442,783,465,373,164,984,673,381,424,778,982,725,
517,402,520,347,210,037,262,495,116,892,381,767,403,744,330,047,613,903,784,
172,672,881,380,413,127,172,469,787,684,307,573,331,530,017,245,715,055,062,
281,414,703,667,644,570,012,532,994,783,342,027,974,987,477,903,509,343,672,
355,430,159,547,223,253,040,194,951,140,877,390,830,882,801,394,893,035,649,
085,683,881,762,643,900,944,263,322,126,597,840,175,879,702,234,066,210,173,
076,598,053,825,383,559,110,850,993,473,161,038,587,683,022,923,396,654,752,
166,877,867,301,057,539,151,976,809,506,447,638,424,839,698,629,947,701,545,
121,075,304,587,394,557,739,302,574,252,329,281,589,718,445,596,912,536,216,
383,292,497,967,427,258,318,511,233,657,711,701,046,826,236,715,312,374,901,
831,193,553,097,379,302,445,472,276,088,557,540,988,137,399,242,430,637,217,
831,682,394,167,029,637,138,338,532,358,901,684,695,154,602,949,717,362,346,
913,885,057,616,953,576,220,265,031,146,716,964,588,492,951,314,598,397,027,
347,515,081,600,362,570,785,228,969,281,682,329,951,414,314,224,697,590,207,
129,490,914,695,468,646,392,213,592,573,097,687,209,102,484,737,935,230,967,
951,321,287,515,712,614,383,837,411,883,112,274,692,414,270,972,121,687,749,
073,464,872,919,319,261,163,629,844,058,213,413,290,956,366,388,391,921,045,
322,592,210,897,996,127,656,172,026,002,095,667,860,750,946,107,880,498,037,
810,877,872,383,286,975,995,878,929,006,192,419,008,287,948,859,465,878,156,
397,537,814,709,093,763,010,569,512,590,854,741,297,185,513,399,562,796,065,
830,925,794,796,959,990,638,114,938,976,582,513,383,012,254,935,024,919,621,
631,633,741,458,268,832,888,413,649,887,593,139,959,062,733,380,790,782,707,
484,847,268,377,473,322,906,924,000,097,570,819,843,878,831,015,491,797,860,
905,949,504,462,080,112,591,591,993,712,574,627,083,209,637,499,866,242,403,
093,671,808,314,935,832,979,745,907,373,871,271,981,977,077,919,913,526,551,
301,033,751,864,659,785,275,565,329,612,902,525,921,808,410,628,054,525,941,
156,729,379,618,240,430,762,304,802,655,888,720,298,621,450,495,871,352,903,
860,015,782,974,437,472,149,095,889,339,830,828,437,429,010,798,523,015,623,
983,107,766,507,680,456,905,751,884,271,651,456,107,860,876,506,983,108,452,
342,065,272,967,983,018,323,484,658,464,945,029,929,834,954,573,652,115,710,
337,121,776,113,422,284,201,518,785,465,802,540,248,490,714,383,511,808,327,
720,330,857,116,588,388,739,288,347,081,111,438,329,999,863,654,630,602,747,
152,255,900,087,702,223,351,254,230,922,380,282,748,266,994,853,070,741,585,
028,224,045,070,477,061,435,064,231,850,826,357,111,240,667,709,014,115,527,
898,227,828,019,829,877,248,966,012,795,619,941,685,493,661,060,207,905,260,
833,804,310,897,096,014,849,091,350,249,240,264,038,298,598,850,590,814,177,
593,254,749,116,782,879,275,829,007,023,035,605,468,654,637,543,544,002,014,
000,830,331,724,078,495,609,106,759,978,013,390,793,462,791,144,186,256,547,
550,846,733,150,943,412,065,672,213,872,960,523,832,847,950,028,631,781,901,
575,002,509,342,838,178,699,837,423,269,959,807,615,237,849,314,886,967,828,
899,871,691,850,680,489,730,162,154,785,293,253,367,212,972,493,754,604,558,
160,221,396,160,719,663,528,986,338,036,936,598,899,281,609,396,210,898,146,
919,378,472,297,426,368,600,198,662,344,663,946,716,060,336,808,342,947,986,
813,105,447,461,638,830,556,917,546,476,246,672,003,023,756,835,784,395,576,
145,630,651,991,053,223,064,839,647,612,269,677,275,132,674,281,532,593,069,
073,702,348,914,281,703,848,730,276,117,870,273,570,230,103,394,761,121,555,
475,007,625,384,122,652,807,392,878,477,741,622,768,277,385,417,949,062,442,
887,410,223,146,006,018,871,938,188,462,617,517,430,753,164,028,968,027,757,
939,032,452,975,564,103,588,488,553,929,172,530,663,375,806,143,170,404,600,
517,858,548,336,383,894,811,790,684,628,736,806,785,211,493,234,224,528,857,
602,917,380,618,540,143,844,165,806,766,806,954,862,737,723,610,514,283,833,
119,873,327,336,067,432,660,719,602,221,086,425,794,083,923,602,676,630,382,
927,892,339,670,237,604,001,156,585,257,128,348,857,351,443,206,892,140,931,
922,504,146,804,944,205,215,071,140,241,579,982,619,957,390,566,529,436,192,
314,136,223,572,490,001,781,367,129,812,106,036,179,393,080,752,794,390,537,
708,790,684,499,544,364,653,205,589,133,371,344,382,503,781,753,475,788,288,
164,206,194,218,243,905,258,525,537,924,408,289,137,065,147,750,349,764,753,
693,087,480,291,374,179,078,926,954,790,719,975,385,489,500,611,081,259,330,
112,266,523,889,726,814,546,687,005,085,368,941,453,955,813,781,697,493,827,
097,996,416,578,813,260,142,047,280,224,478,112,352,732,709,048,062,596,012,
530,263,636,562,622,726,495,404,364,796,648,186,147,201,907,637,758,302,984,
340,129,510,020,865,742,267,895,561,396,350,628,405,970,899,814,713,774,754,
345,094,738,132,536,520,555,700,547,371,506,881,934,153,693,249,408,669,306,
413,398,846,779,542,236,685,503,662,332,585,030,642,689,704,498,665,654,678,
617,187,833,757,935,377,396,178,936,940,812,922,223,766,084,400,396,272,306,
947,017,305,226,241,960,732,137,456,497,446,511,778,276,819,195,819,806,768,
736,060,205,051,264,584,873,909,906,220,133,817,891,510,291,673,368,928,516,
511,040,412,967,482,153,655,021,188,518,639,931,585,925,589,391,577,860,705,
319,953,392,674,379,332,526,435,512,207,056,348,875,749,079,555,416,516,952,
412,656,260,114,934,219,495,672,284,240,898,980,060,501,139,957,016,152,065,
810,286,621,641,387,424,031,731,642,663,195,959,507,521,439,528,443,297,890,
084,563,470,126,390,976,539,539,317,551,772,894,237,891,435,883,604,833,646,
348,407,034,519,364,028,774,331,147,528,626,291,411,008,361,030,010,589,059,
526,343,409,754,404,777,213,903,256,793,741,486,044,242,440,349,988,259,779,
750,645,256,189,962,765,221,244,200,376,134,650,815,571,114,725,326,111,911,
963,285,074,420,269,268,306,326,596,007,873,436,703,318,732,884,487,166,155,
960,009,594,737,472,795,230,320,816,283,762,322,168,701,244,547,817,987,652,
686,450,099,986,589,934,711,477,104,258,732,836,194,262,977,114,534,032,523,
041,725,451,894,680,196,196,745,411,002,962,459,721,444,060,593,017,191,235,
621,441,830,139,299,161,542,078,575,675,847,715,159,084,407,042,999,954,459,
616,592,729,323,980,239,657,658,054,850,767,473,889,729,492,068,548,161,115,
920,402,383,252,578,994,861,528,023,419,611,821,040,565,477,131,977,798,179,
233,668,995,314,516,617,621,265,732,716,767,745,912,206,619,638,476,700,644,
956,502,272,371,419,664,958,511,121,375,728,446,584,117,049,687,122,601,566,
237,401,154,950,032,545,812,847,328,484,681,343,040,067,879,962,327,943,578,
667,283,828,619,178,780,263,812,401,434,571,787,157,942,515,684,379,839,958,
256,769,184,445,144,989,554,134,907,944,353,694,803,860,546,036,690,021,219,
427,059,926,697,100,572,352,605,417,445,839,722,772,164,758,562,396,915,794,
746,320,811,453,456,814,657,355,498,799,552,711,584,553,878,334,510,185,390,
078,379,453,706,575,743,307,070,006,608,125,268,947,871,587,020,435,585,223,
864,051,936,288,401,356,830,313,028,067,860,726,965,245,875,446,762,631,510,
531,725,896,372,623,296,611,478,451,217,667,722,108,340,104,516,047,637,249,
483,595,936,873,935,865,355,567,611,094,862,021,370,771,628,590,527,836,408,
883,315,912,544,881,984,790,455,200,362,893,716,835,243,639,053,437,938,078,
134,961,266,229,570,624,639,352,478,369,022,316,456,778,896,865,122,800,598,
150,925,918,132,605,583,826,940,160,410,510,486,750,587,861,685,276,271,118,
941,779,623,846,400,685,154,680,946,645,417,362,543,643,607,846,427,690,837,
063,489,101,051,802,866,440,505,852,942,635,119,387,979,759,112,341,387,309,
369,305,244,060,627,136,562,075,492,932,982,231,381,873,006,756,281,928,714,
245,188,918,094,418,884,550,122,184,021,048,903,516,450,222,673,919,183,064,
822,930,155,327,662,177,484,952,674,314,684,053,762,868,812,342,157,419,604,
546,094,664,844,588,739,776,552,862,500,151,197,878,786,720,642,908,368,777,
486,919,255,730,971,596,078,396,440,374,181,460,257,072,883,453,374,086,364,
167,326,254,638,483,016,264,542,930,991,508,732,629,420,717,789,532,708,564,
435,901,361,934,808,515,088,311,800,614,071,576,965,806,723,222,322,222,470,
458,398,345,196,989,866,899,365,569,250,901,025,858,403,559,613,107,113,042,
414,920,787,701,554,316,272,932,693,083,713,130,599,088,684,001,376,921,275,
426,127,060,800,622,026,261,163,892,912,395,327,313,019,491,598,427,231,745,
124,404,817,524,040,377,439,853,543,137,355,595,307,145,688,233,034,701,398,
976,138,126,440,595,106,181,717,918,922,438,337,687,218,625,136,340,405,860,
473,223,991,000,776,659,113,224,726,864,968,256,311,613,888,997,403,120,700,
925,717,738,944,865,827,162,639,640,964,453,395,357,754,700,073,853,391,853,
143,338,557,666,415,883,224,338,710,126,895,016,597,951,274,111,070,134,023,
450,362,043,219,437,337,401,496,227,536,271,864,925,965,739,828,566,102,444,
331,779,494,058,532,127,559,000,032,309,423,972,440,030,221,119,229,277,216,
789,910,784,109,950,190,934,146,110,089,594,619,508,312,666,706,461,596,223,
237,437,844,135,731,721,465,477,836,768,494,014,330,443,700,797,872,445,923,
414,778,455,816,298,163,369,968,095,993,787,196,387,711,020,875,460,747,588,
952,605,080,213,696,322,594,371,279,556,780,466,801,004,990,388,062,726,054,
826,917,018,682,774,755,470,276,202,793,637,625,975,684,784,881,598,460,926,
571,385,542,667,701,095,777,937,748,432,577,804,779,920,448,327,354,318,745,
194,270,057,582,895,642,715,282,404,701,193,072,888,829,545,200,968,430,373,
366,756,764,895,046,204,125,028,764,977,361,039,357,662,576,401,821,070,852,
670,388,382,108,268,941,264,082,342,488,051,016,634,745,992,895,812,441,376,
139,332,413,724,488,641,835,668,759,043,744,519,423,414,180,862,411,657,699,
180,863,252,058,911,674,277,607,646,639,694,421,610,287,635,234,262,226,512,
417,256,422,125,353,576,783,461,277,343,668,579,392,824,612,711,282,987,884,
400,880,791,334,681,125,442,725,910,138,767,828,759,560,098,547,869,832,316,
325,108,901,506,306,223,714,707,115,447,369,758,438,505,366,137,156,373,137,
935,118,370,044,705,900,224,996,248,307,617,284,519,638,198,270,543,371,621,
999,738,034,989,736,405,165,007,798,100,630,166,932,949,846,683,749,330,829,
263,655,294,205,576,111,713,324,257,036,428,651,259,647,170,638,852,869,510,
971,719,825,764,826,059,721,229,481,139,101,774,370,499,220,824,365,271,850,
015,471,559,889,035,428,915,438,976,540,447,907,410,230,964,441,987,674,235,
225,085,918,391,464,384,454,984,743,687,292,663,256,677,850,856,961,785,550,
233,167,118,893,173,838,384,630,853,405,244,828,520,571,473,956,473,892,631,
262,104,892,723,570,696,263,989,885,021,024,321,926,003,574,229,890,898,537,
885,357,758,426,025,126,566,680,182,509,271,442,121,710,034,407,270,935,452,
919,956,184,317,876,367,582,055,824,177,086,350,566,249,345,718,799,162,137,
958,733,708,692,611,073,129,309,493,706,977,746,266,067,064,489,806,197,040,
329,042,499,536,109,450,624,135,833,370,771,615,099,011,430,186,071,627,696,
274,748,907,576,122,776,638,876,206,419,003,717,767,625,842,342,501,624,265,
182,340,146,058,665,680,701,586,561,631,384,910,279,489,701,160,987,993,542,
599,666,027,897,757,618,799,109,864,414,667,413,026,088,684,956,185,099,564,
936,211,065,533,642,271,340,578,322,905,672,150,871,120,871,941,713,342,248,
409,092,760,291,340,145,673,042,272,349,502,283,231,590,741,665,716,486,002,
157,265,419,117,019,911,215,154,233,281,166,939,651,676,415,617,746,502,095,
577,334,121,844,416,300,264,475,774,776,098,644,471,085,419,444,725,131,819,
181,178,680,168,385,048,353,578,590,698,000,444,537,652,450,081,675,831,245,
842,223,515,640,653,502,749,173,752,113,200,069,600,961,000,723,798,249,701,
654,333,257,593,497,776,454,124,829,017,176,561,198,979,137,287,852,087,916,
149,945,092,313,540,509,213,902,746,995,122,895,917,748,958,688,261,786,136,
289,872,628,653,881,991,386,777,289,369,853,828,878,231,257,855,087,359,598,
864,818,384,678,295,353,079,274,134,793,420,280,055,446,661,830,777,914,324,
114,335,850,328,519,404,242,869,037,444,837,555,464,743,088,495,456,772,298,
191,850,264,757,779,080,451,068,564,706,055,117,769,720,627,980,822,700,523,
158,848,918,258,110,639,318,521,349,193,021,931,800,296,139,663,449,657,957,
196,379,776,873,087,159,083,501,919,213,247,468,881,242,837,803,932,959,721,
571,251,738,865,919,014,747,021,724,557,544,193,852,231,252,234,877,349,549,
889,746,273,905,913,004,157,879,063,989,205,686,190,045,912,882,402,694,928,
792,582,577,772,521,798,366,786,651,660,841,512,709,919,024,238,320,036,542,
035,153,826,041,337,920,227,347,991,417,678,745,249,854,051,833,854,035,230,
197,508,331,114,328,470,023,604,343,683,677,620,906,194,367,893,155,574,887,
359,453,434,362,672,943,186,294,364,517,523,752,155,847,901,303,179,437,399,
246,601,471,129,036,206,824,574,786,419,333,400,657,742,313,951,432,972,366,
020,942,963,915,483,569,420,677,885,582,209,880,639,933,507,671,045,866,748,
425,940,303,165,239,541,324,591,850,778,054,309,144,292,272,752,087,148,174,
073,312,529,284,971,118,115,896,585,543,898,074,149,098,238,361,748,455,907,
405,515,404,255,040,994,766,176,664,211,704,710,769,091,969,022,668,123,927,
506,662,377,748,510,066,516,446,822,418,118,589,754,888,043,508,661,239,584,
556,843,735,645,158,508,206,565,789,582,750,719,702,340,374,905,074,170,676,
780,812,830,003,911,590,321,246,567,702,606,932,403,467,583,447,435,958,913,
517,486,714,259,150,436,432,974,697,852,047,391,572,665,697,381,760,082,021,
863,052,574,702,763,956,868,405,170,236,916,842,102,531,034,565,506,928,704,
143,343,584,137,814,537,121,411,568,430,192,561,064,662,759,392,918,325,769,
976,503,729,519,779,126,263,327,665,798,175,023,578,116,089,297,167,848,447,
836,318,185,727,378,758,430,710,417,400,350,811,171,752,935,228,452,157,647,
903,991,859,418,428,503,637,834,657,358,198,382,390,050,636,802,007,346,140,
988,532,961,052,678,066,328,523,596,320,738,103,392,825,385,906,074,124,399,
666,254,682,077,895,984,953,198,198,404,894,920,827,219,807,136,889,978,963,
212,170,043,790,113,836,225,511,895,831,244,249,453,134,757,609,713,321,066,
358,922,088,733,548,169,773,218,111,389,110,769,240,077,240,602,884,752,452,
147,083,986,070,405,269,029,529,947,093,237,413,047,138,667,484,392,625,773,
097,847,600,752,330,325,916,470,669,765,090,841,388,332,093,861,857,192,549,
749,028,051,177,143,564,661,198,241,040,397,373,576,044,720,229,008,731,525,
570,648,509,508,821,596,783,023,503,294,098,134,290,949,782,230,532,531,477,
487,207,465,406,757,196,729,997,743,179,325,273,155,621,511,546,174,488,853,
082,189,881,326,524,191,206,907,060,532,370,126,761,105,990,232,001,952,484,
440,577,156,560,822,909,549,080,774,364,607,816,955,036,725,331,454,356,062,
539,835,308,079,143,349,642,652,026,347,137,707,731,429,518,576,059,059,110,
426,245,331,807,237,624,709,015,099,998,434,278,619,970,570,205,675,438,564,
645,058,449,092,303,243,407,278,832,794,657,350,601,879,867,753,205,159,395,
308,379,565,972,772,427,722,673,687,538,392,524,610,497,669,776,503,180,381,
601,262,782,116,825,942,788,609,605,441,996,042,749,295,274,647,315,046,154,
823,049,911,214,273,746,216,806,485,512,614,321,151,378,546,609,330,520,322,
534,411,275,723,006,303,997,565,165,255,960,202,055,017,804,050,300,975,918,
736,564,858,606,492,001,895,494,055,537,584,347,397,093,636,213,910,048,472,
776,935,387,669,700,622,860,048,668,452,136,335,006,131,747,467,187,164,943,
375,107,062,067,520,943,309,012,437,496,493,151,184,280,345,063,528,448,241,
592,932,558,264,806,810,718,552,621,592,762,895,092,131,206,789,673,371,811,
016,264,494,896,979,998,425,045,718,487,461,006,287,890,764,605,797,925,843,
916,891,649,230,059,196,349,764,327,161,662,724,217,283,541,643,905,719,125,
466,813,926,786,724,847,857,973,724,609,161,117,196,491,521,585,536,625,202,
018,471,708,875,731,381,887,968,907,914,249,425,408,751,532,517,416,908,404,
199,755,746,210,076,784,735,671,842,099,327,011,471,710,116,084,292,604,103,
464,964,574,580,293,712,312,094,130,340,896,683,795,483,564,594,160,965,397,
897,987,593,918,382,613,537,283,539,062,354,851,711,621,405,520,722,002,444,
507,521,106,207,944,422,476,071,709,625,092,024,737,981,588,673,741,325,324,
353,587,681,225,964,688,921,266,321,746,485,163,643,982,349,367,166,563,243,
513,507,525,605,538,972,823,876,014,150,773,489,507,954,618,350,465,783,255,
506,385,088,421,437,215,082,844,096,739,411,306,355,317,631,607,673,879,468,
605,899,905,024,476,155,354,213,931,279,729,696,115,315,679,979,477,403,612,
494,492,406,374,840,910,150,178,436,574,799,205,997,286,471,655,777,875,687,
407,083,688,649,772,242,888,639,686,744,634,004,088,760,596,598,993,812,779,
677,059,242,688,568,625,202,763,724,538,062,033,515,050,360,181,227,888,583,
073,116,817,606,904,650,424,867,081,286,240,097,391,562,158,134,335,713,490,
236,247,347,408,070,254,366,105,468,083,257,712,209,224,245,163,173,468,880,
616,084,830,965,261,829,201,307,578,441,008,947,024,943,367,477,922,855,731,
919,921,507,921,521,587,009,088,889,500,177,107,901,376,769,778,677,989,009,
965,279,670,749,511,457,881,445,305,129,688,677,399,256,922,394,569,233,910,
884,026,506,405,730,144,671,372,350,352,443,123,144,042,125,807,315,680,399,
648,174,858,435,216,462,659,735,864,581,480,954,609,838,939,366,502,207,526,
658,868,568,851,517,159,753,290,644,978,321,664,981,283,478,736,000,040,215,
935,823,647,129,136,068,380,548,261,250,121,282,000,998,947,279,399,030,472,
758,617,228,680,974,508,773,496,916,566,565,452,332,289,971,660,583,223,455,
948,696,316,339,571,367,731,784,058,690,824,533,565,712,560,871,899,037,977,
304,860,515,734,463,182,048,147,256,184,772,891,099,895,210,260,766,834,925,
322,446,302,333,534,010,161,101,261,769,962,799,581,963,483,398,431,504,853,
278,760,152,289,127,753,696,619,470,376,570,325,148,279,327,540,784,411,298,
570,599,756,465,480,282,268,322,437,547,218,774,368,743,263,001,602,815,901,
697,951,005,894,548,012,126,597,215,889,875,709,527,382,112,382,106,670,252,
289,347,461,278,011,197,428,143,994,939,265,715,849,878,104,546,920,507,459,
117,493,834,970,686,897,321,157,776,728,471,664,342,664,069,787,324,197,110,
285,688,435,187,975,942,090,539,587,650,661,708,032,944,814,270,084,455,770,
242,296,743,037,001,040,074,739,835,303,859,583,659,167,831,201,230,985,709,
526,555,159,234,751,065,226,310,756,136,092,579,706,540,659,608,429,491,192,
414,180,532,271,237,601,838,419,845,141,367,166,521,945,541,175,024,835,633,
935,571,885,739,120,778,833,807,517,583,450,018,981,460,771,838,390,944,035,
836,155,099,541,155,764,044,773,915,506,271,238,670,769,578,343,529,021,648,
860,709,055,025,164,142,649,939,730,584,185,935,478,023,199,123,025,527,409,
927,850,859,568,203,942,090,671,044,968,587,452,065,174,546,086,383,188,030,
783,890,315,601,380,256,727,081,946,749,642,428,637,037,237,700,431,009,609,
952,945,333,898,036,484,224,858,523,842,942,856,111,584,487,431,683,684,778,
255,743,556,964,912,240,086,920,496,662,037,450,222,027,357,003,697,825,592,
691,827,165,479,349,637,674,013,198,931,296,421,707,236,400,783,330,292,886,
410,290,771,058,250,631,046,024,933,099,029,633,572,420,828,328,582,670,063,
764,265,363,332,685,267,442,605,389,657,900,698,985,770,531,061,559,298,355,
538,252,959,105,506,548,401,680,600,682,592,030,046,238,211,452,343,959,188,
537,943,313,387,767,196,843,826,743,758,738,485,938,571,205,507,098,442,877,
797,542,886,929,281,762,565,440,156,062,059,397,616,859,422,987,448,589,734,
393,199,925,919,041,052,567,175,861,079,393,072,941,037,908,672,434,318,136,
262,543,273,578,822,765,642,504,254,013,620,471,047,782,516,328,962,745,008,
756,304,008,079,627,620,308,908,056,835,126,921,217,389,922,154,640,788,226,
332,602,536,826,422,738,943,171,605,003,064,170,390,348,798,357,217,395,317,
221,952,499,713,651,154,306,707,000,047,744,442,122,789,123,505,067,386,793,
052,067,794,172,089,171,758,616,776,785,855,474,238,853,402,019,615,785,300,
959,057,254,641,838,127,584,375,673,311,711,325,018,094,329,964,672,268,614,
472,170,839,482,319,229,353,234,890,133,160,744,102,145,332,748,459,411,991,
232,671,772,441,044,122,510,181,360,393,682,971,875,970,750,422,396,823,044,
663,763,091,735,492,639,836,488,242,220,666,084,765,498,740,127,797,360,043,
898,998,775,133,057,859,811,627,709,136,404,609,894,376,752,874,744,928,098,
018,797,625,523,504,887,901,565,752,439,245,665,363,501,209,077,544,157,591,
465,596,515,781,373,486,140,355,442,182,505,193,411,694,365,498,735,613,613,
128,959,159,736,765,006,820,167,486,753,015,219,456,003,662,516,392,148,224,
392,595,998,018,935,869,334,950,998,070,662,422,652,535,066,959,422,863,629,
862,576,584,024,647,510,795,514,031,205,360,113,046,257,301,764,167,187,104,
839,801,336,454,530,673,534,245,477,726,904,372,175,219,113,292,528,545,256,
480,554,317,232,884,787,234,089,979,104,760,511,924,925,807,302,998,629,430,
111,141,706,342,562,083,529,655,306,317,751,137,803,096,165,219,015,237,386,
418,572,497,672,401,465,638,785,515,106,787,337,344,353,150,723,176,312,236,
865,428,803,604,650,584,137,844,210,900,736,349,914,574,783,202,098,085,670,
813,205,188,488,436,169,934,698,841,454,220,978,986,504,315,731,740,557,336,
961,925,337,770,009,318,562,399,780,915,602,886,557,414,945,650,529,765,101,
597,049,318,018,985,302,005,673,661,119,652,037,839,110,885,023,655,053,670,
999,406,091,372,034,601,531,518,407,107,444,465,138,191,028,097,249,819,451,
554,933,527,533,609,171,253,428,618,117,723,839,404,433,204,390,007,451,959,
381,237,811,871,103,033,336,662,152,974,859,171,899,000,446,039,196,800,961,
865,489,937,856,978,276,346,679,288,091,677,196,484,147,038,368,452,044,513,
258,183,543,414,650,117,187,194,391,252,222,780,191,464,765,945,746,654,253,
764,141,421,225,299,343,588,658,810,705,871,276,538,418,653,993,838,599,630,
758,997,010,994,608,901,598,893,337,250,928,985,216,051,162,671,830,914,529,
373,812,615,501,158,023,702,353,709,231,575,739,474,201,484,238,073,313,514,
428,995,244,953,732,837,798,517,900,397,517,072,642,302,134,267,815,625,427,
708,947,829,281,802,351,994,098,650,573,645,660,023,780,104,019,045,097,315,
606,081,638,615,141,807,136,787,403,011,636,908,591,869,901,280,967,760,036,
159,428,060,990,744,690,044,823,585,306,043,443,827,004,485,245,716,494,670,
983,607,428,529,575,931,339,428,829,227,414,920,008,371,834,262,916,144,777,
634,298,408,334,820,792,237,996,608,245,754,647,681,624,061,605,554,112,242,
356,593,132,557,852,513,068,890,256,527,980,316,877,638,987,717,589,235,053,
998,175,944,846,732,057,132,179,899,340,268,528,781,135,080,696,964,031,249,
936,404,711,962,118,056,658,429,500,174,010,778,964,360,154,089,521,771,390,
224,060,380,366,527,652,505,489,483,431,613,090,766,004,343,232,408,135,506,
600,082,684,481,710,310,495,984,748,633,383,080,669,045,582,314,759,272,965,
322,385,941,980,558,725,419,763,851,237,156,636,356,978,860,955,491,696,623,
225,663,219,989,543,791,526,891,147,363,853,224,180,926,279,622,732,205,740,
888,240,633,468,288,796,828,284,876,113,172,607,096,449,815,019,185,250,647,
135,037,321,257,679,907,140,009,112,593,678,157,560,562,039,430,066,853,876,
793,877,411,292,433,149,015,550,857,738,937,251,454,963,112,394,892,018,818,
281,310,312,010,774,501,691,347,045,614,873,088,422,193,832,033,751,298,352,
744,882,787,901,009,518,756,420,706,703,488,491,461,911,576,947,858,031,578,
115,331,869,111,054,711,969,643,200,398,752,197,591,620,828,707,546,249,935,
011,680,032,282,061,586,428,811,971,364,586,500,968,365,094,095,582,841,636,
901,867,813,032,247,882,879,427,494,429,467,080,079,159,182,950,783,163,485,
757,621,402,039,459,617,630,655,065,977,790,948,012,232,834,771,844,614,791,
400,843,580,973,206,757,526,312,807,895,750,206,626,821,030,537,846,607,980,
804,581,160,440,089,740,235,400,407,224,835,590,460,590,421,610,515,764,648,
449,862,373,171,834,978,748,778,668,515,528,357,472,464,158,010,533,987,663,
443,359,003,737,098,560,932,272,021,470,979,844,329,025,117,083,739,886,870,
994,467,350,649,366,391,970,070,349,089,653,539,593,517,826,278,514,467,646,
393,822,728,256,629,747,263,077,198,722,843,979,136,017,410,754,244,673,371,
136,470,889,555,295,074,782,893,370,489,406,823,740,808,845,814,308,910,175,
360,053,719,475,085,402,220,103,047,266,691,867,121,818,362,377,106,875,409,
664,475,156,651,915,060,671,939,668,005,380,258,896,869,959,465,769,716,254,
578,277,306,070,727,997,317,168,719,205,000,542,642,764,348,020,946,818,048,
699,777,741,390,726,194,178,854,784,307,137,452,376,485,265,576,912,263,810,
228,916,553,346,352,536,589,287,167,806,281,511,201,389,687,491,930,405,327,
124,759,689,513,474,947,752,655,435,951,024,059,021,614,871,734,794,265,490,
053,290,284,618,391,797,362,029,853,676,703,378,767,342,210,515,673,654,546,
043,979,447,179,909,608,850,914,451,233,145,883,491,149,358,018,134,395,693,
690,743,845,155,299,369,318,360,218,231,005,805,952,334,502,299,280,469,650,
587,172,762,650,140,948,217,579,535,325,873,792,038,929,151,489,167,487,042,
471,456,395,768,050,366,734,593,028,107,440,561,970,547,755,540,567,830,970,
721,439,883,651,065,685,298,085,595,083,283,689,545,320,228,615,097,495,661,
196,623,473,176,928,617,677,580,311,458,848,964,187,934,491,594,212,883,895,
710,856,055,821,881,696,306,247,480,583,041,701,092,280,933,261,858,871,538,
660,608,522,404,445,862,835,020,552,632,678,280,389,526,985,375,970,862,275,
080,632,251,633,332,847,478,141,887,031,194,489,338,203,580,026,529,107,237,
639,029,200,448,691,916,751,435,521,861,367,194,509,292,788,720,583,188,517,
744,108,664,723,911,783,382,878,075,849,280,390,746,653,099,790,751,508,242,
645,904,807,106,779,980,322,522,626,176,987,193,379,515,877,727,129,733,224,
251,725,449,950,459,172,822,316,476,844,383,283,825,166,615,192,328,587,209,
422,718,333,987,274,310,319,886,749,298,418,474,353,393,779,658,211,050,582,
948,306,594,805,039,015,406,673,513,201,763,193,151,909,839,462,684,892,506,
180,434,373,374,698,982,303,921,053,641,090,091,871,199,433,998,506,153,884,
722,048,735,533,393,620,762,711,384,868,949,425,947,523,259,821,353,766,873,
064,475,001,675,424,990,250,950,138,443,514,386,920,753,824,808,579,593,011,
460,433,671,496,408,554,453,728,735,289,788,120,092,692,313,653,619,054,956,
686,369,203,623,116,354,369,352,278,698,015,230,393,824,175,994,157,406,750,
786,797,839,655,180,238,451,435,641,386,837,303,719,674,390,853,182,247,836,
641,995,054,611,439,562,379,224,750,830,382,066,678,300,630,355,004,452,519,
848,032,972,194,837,754,126,853,913,276,363,762,369,129,395,535,869,143,755,
533,113,061,704,173,101,354,277,990,783,163,197,004,748,296,882,231,173,425,
756,737,262,095,450,528,239,290,613,065,786,502,153,479,893,775,294,268,584,
707,587,583,908,384,453,138,889,813,499,982,925,216,355,921,791,767,747,790,
881,169,656,132,228,685,172,899,028,651,922,608,825,919,226,094,897,231,050,
580,301,036,608,160,721,425,080,819,618,676,828,064,552,579,815,359,171,384,
912,683,783,974,950,191,996,069,003,857,713,259,480,010,064,022,845,986,407,
470,338,130,741,295,034,994,467,063,165,551,973,989,650,599,285,492,793,633,
341,177,386,267,859,833,308,615,298,022,859,623,777,894,991,569,917,312,192,
309,669,622,760,006,697,685,742,569,376,053,722,488,847,582,089,718,663,349,
894,776,279,956,897,838,773,242,516,963,561,523,375,548,258,787,496,808,105,
422,408,364,337,707,300,194,844,555,898,148,172,710,721,672,902,110,286,277,
637,068,915,323,405,360,610,245,755,512,187,026,888,863,602,347,951,047,421,
885,546,645,228,924,657,479,335,331,464,537,384,041,358,612,342,695,427,028,
879,129,023,089,308,501,327,676,389,407,899,969,015,224,174,127,505,345,120,
635,885,930,499,497,964,960,414,063,783,287,385,058,883,033,241,666,775,570,
449,202,403,209,013,660,785,130,920,399,569,699,962,916,791,691,354,358,727,
304,646,587,096,745,565,383,479,522,811,024,831,844,054,183,328,051,128,238,
905,531,935,023,830,300,499,294,595,875,174,348,653,974,207,811,942,272,883,
814,659,652,291,534,513,737,707,425,770,699,424,850,832,493,577,010,282,315,
128,534,173,002,174,051,687,251,256,004,627,095,161,836,069,676,463,378,402,
336,726,394,557,426,242,929,683,938,147,696,018,932,824,196,575,266,903,648,
995,315,785,620,234,186,883,852,095,078,975,246,732,501,091,206,149,363,380,
976,693,124,986,894,742,147,374,996,257,363,955,425,370,448,283,766,278,106,
205,482,043,955,174,535,082,138,962,329,738,402,911,269,393,279,724,023,406,
028,015,737,650,187,056,641,272,541,361,505,276,565,365,883,580,534,157,379,
590,093,567,310,182,465,669,050,427,321,537,606,636,433,539,162,381,860,681,
757,370,651,672,255,965,534,618,260,893,495,070,286,637,646,210,135,921,894,
249,579,339,441,966,061,247,228,517,882,214,182,572,072,737,849,176,639,012,
092,838,057,150,240,207,067,091,590,263,898,006,832,926,318,538,065,384,619,
033,752,009,400,158,157,495,097,605,630,311,277,125,842,591,821,415,660,326,
874,660,246,237,271,578,811,000,362,867,705,979,120,394,508,439,076,704,036,
052,746,424,101,410,119,204,896,019,686,231,083,118,279,140,809,106,411,327,
484,714,282,338,114,663,179,926,768,534,260,187,156,870,122,462,197,665,600,
063,696,897,612,711,866,134,876,086,437,927,265,919,258,544,050,159,696,633,
155,402,603,391,967,457,649,169,269,899,888,406,007,707,154,000,763,371,792,
979,525,652,960,153,303,544,473,914,969,444,644,572,220,763,702,025,018,518,
897,152,305,806,877,249,433,916,513,221,556,628,049,439,509,694,837,288,274,
186,758,070,686,737,103,733,823,899,838,192,569,476,299,029,919,416,522,538,
963,379,064,319,436,875,342,177,795,246,298,477,743,817,479,488,261,127,019,
050,436,566,452,616,626,746,909,402,294,562,152,721,100,853,134,681,433,260,
854,404,441,696,084,347,811,063,601,351,125,858,248,108,425,779,358,406,693,
818,170,620,447,197,353,924,446,405,674,385,412,316,540,775,253,892,672,087,
686,224,850,470,768,037,838,931,735,228,516,569,980,236,113,268,589,877,428,
315,694,792,972,580,059,844,413,694,880,524,615,670,874,889,972,543,309,898,
231,354,339,567,796,057,090,381,518,726,888,105,183,743,471,137,295,191,159,
339,500,374,977,077,177,156,306,932,848,349,203,984,793,026,713,322,393,128,
269,519,547,776,118,189,941,399,104,002,646,782,819,119,060,336,869,916,046,
655,575,789,384,009,475,340,227,344,229,906,370,982,460,627,448,947,361,240,
864,682,172,932,657,027,985,869,077,221,016,538,069,863,740,208,796,986,106,
443,601,112,241,455,124,616,990,366,655,383,289,647,707,097,482,588,170,346,
071,147,680,980,058,305,565,844,496,090,742,461,663,433,270,917,682,456,840,
938,445,017,535,165,878,074,464,509,315,135,215,085,853,616,187,729,048,690,
737,626,523,289,755,050,489,790,993,341,342,100,438,879,130,902,247,793,838,
459,994,425,617,679,624,253,000,331,539,150,433,571,655,196,748,568,132,778,
444,348,694,150,597,073,771,537,513,661,786,599,723,900,060,421,948,599,741,
362,953,402,080,053,121,400,348,276,520,894,444,265,458,682,582,354,940,114,
755,872,817,661,847,317,950,478,538,075,427,655,433,575,074,241,733,544,088,
217,081,263,231,291,033,573,368,810,209,142,142,242,383,715,765,639,243,479,
776,369,267,797,352,136,563,259,669,821,529,719,573,144,535,131,745,110,722,
809,001,838,658,180,622,995,724,598,036,253,901,585,520,737,940,508,627,142,
522,235,418,567,139,464,815,393,827,988,796,413,210,715,678,600,085,285,898,
985,060,447,359,698,504,337,973,764,809,886,016,652,413,594,035,165,451,933,
104,642,993,474,315,818,309,911,413,068,378,547,222,984,669,460,206,709,912,
053,353,738,607,616,410,302,102,324,623,860,290,290,573,949,739,415,468,206,
935,440,308,556,104,823,653,628,309,110,844,546,050,741,572,201,645,826,545,
128,311,018,166,624,158,811,876,264,241,320,651,132,069,134,588,492,791,599,
674,194,295,463,719,462,107,921,487,420,211,170,401,994,593,065,507,074,025,
506,358,372,483,722,419,529,834,067,682,408,869,499,842,500,453,173,225,148,
332,280,874,039,256,828,757,990,661,407,631,165,129,727,383,700,477,621,383,
992,502,781,533,853,138,042,041,492,755,856,840,315,117,402,730,473,840,250,
040,962,515,552,642,172,631,389,936,080,081,601,471,961,955,972,223,466,151,
382,201,690,012,001,275,003,938,834,650,352,379,066,499,383,195,739,085,685,
726,587,064,976,382,925,118,798,706,958,150,042,246,377,203,868,820,626,977,
577,643,435,597,375,052,771,857,176,001,112,638,993,022,875,419,124,064,957,
175,566,203,154,941,376,764,332,383,970,744,286,574,499,233,629,061,759,228,
424,935,579,150,329,010,533,017,739,330,098,851,164,923,379,480,143,564,258,
773,816,112,733,465,935,754,753,910,875,615,716,199,198,833,249,065,673,541,
126,419,461,155,539,176,931,566,960,542,343,412,043,533,175,092,957,060,561,
624,696,768,598,283,474,698,119,436,106,723,551,691,637,032,358,826,110,923,
788,294,933,405,708,286,079,509,037,721,081,649,239,368,030,499,600,558,192,
486,918,114,801,574,332,219,439,565,363,207,499,965,470,422,845,562,283,532,
874,021,526,936,977,730,144,330,483,972,158,809,463,331,482,393,895,548,181,
181,796,290,646,899,199,023,398,713,417,953,410,797,336,668,673,846,368,868,
709,197,631,635,336,308,474,075,722,254,140,902,738,921,607,243,453,575,748,
315,237,605,902,753,567,234,123,517,130,468,989,584,749,996,485,242,270,098,
143,798,574,506,204,837,051,447,312,973,646,656,462,428,598,822,236,765,526,
507,233,843,063,749,246,347,201,753,930,979,127,346,648,328,733,029,443,489,
612,803,572,774,668,290,631,955,774,745,699,772,890,816,792,124,793,942,131,
862,330,014,141,226,427,836,764,623,115,245,026,120,406,943,822,588,003,100,
797,847,450,698,477,346,212,913,341,842,726,662,450,140,122,508,768,503,100,
514,985,047,320,338,951,870,116,928,796,820,112,252,874,720,328,649,317,206,
971,288,207,619,648,129,250,878,661,157,532,321,871,611,855,081,794,698,006,
347,953,408,726,712,051,700,741,112,616,508,882,717,583,590,831,681,792,506,
308,061,076,412,486,384,582,588,728,148,297,666,301,265,910,515,824,347,698,
370,563,135,381,553,435,413,898,224,679,354,618,248,475,998,575,065,918,549,
557,393,375,878,622,962,287,287,855,730,281,404,907,455,873,113,929,755,545,
354,571,072,297,754,135,543,647,037,098,994,227,523,739,386,405,607,110,442,
868,676,940,734,399,916,694,667,541,150,897,264,053,910,049,476,147,124,812,
586,735,372,716,015,113,529,429,952,940,384,158,637,673,330,820,389,954,341,
303,658,913,975,027,032,036,075,290,530,764,222,470,648,287,766,045,547,632,
242,684,911,680,334,866,467,179,621,625,984,382,071,386,500,341,230,036,062,
976,901,885,868,586,925,889,749,296,128,824,658,062,281,834,472,413,322,976,
812,754,159,000,698,439,259,771,329,488,163,400,939,431,961,866,678,572,348,
757,362,177,308,000,336,888,001,517,803,001,922,735,700,752,395,569,299,549,
094,945,329,214,799,045,693,950,153,367,666,624,848,866,347,327,480,018,737,
006,678,347,497,789,187,107,922,081,661,482,518,230,049,473,589,412,924,344,
770,376,425,516,310,530,042,115,639,804,924,267,056,052,513,717,559,636,497,
098,897,092,914,522,078,621,914,576,127,106,926,801,274,048,149,454,058,885,
031,898,742,075,737,261,446,322,441,865,815,702,577,582,785,393,093,827,245,
544,463,317,325,520,715,987,637,460,407,998,525,815,076,372,050,071,132,260,
706,963,750,399,901,262,149,142,187,154,128,396,662,806,828,791,664,718,700,
700,737,496,152,179,376,604,141,778,019,321,884,036,282,129,660,115,341,118,
873,496,733,536,446,797,416,878,777,225,081,461,052,928,930,352,162,782,682,
749,326,993,078,328,456,279,538,732,132,716,217,149,944,537,249,928,466,709,
933,775,542,104,551,146,749,078,886,002,851,526,806,232,491,429,567,600,162,
244,614,705,925,079,981,261,742,521,221,611,273,649,142,789,719,600,554,391,
899,878,281,494,497,403,211,579,831,751,502,289,094,562,607,077,591,627,415,
027,431,229,214,317,870,000,566,598,365,338,100,699,293,896,120,230,154,323,
238,950,570,189,013,381,519,542,537,789,678,799,997,700,844,819,198,844,787,
459,627,516,080,390,975,022,312,160,598,416,698,035,648,260,511,921,974,211,
691,717,482,513,072,545,765,198,384,026,873,410,456,301,400,066,768,175,784,
793,716,903,615,818,683,252,792,708,291,853,401,154,960,373,023,488,058,974,
045,168,188,246,514,783,062,488,165,271,429,960,054,200,323,745,301,171,820,
507,894,288,975,538,744,961,951,026,505,590,839,464,928,211,345,378,553,653,
899,184,323,866,385,845,927,410,568,810,565,794,113,859,922,520,255,408,330,
400,260,705,691,144,834,954,069,565,077,074,827,404,414,530,857,819,326,158,
370,492,687,841,011,107,199,097,466,669,020,795,094,766,808,883,631,309,497,
279,377,486,304,813,701,470,754,366,746,732,635,499,146,221,079,913,559,590,
037,875,667,580,053,216,028,324,944,339,206,571,993,366,074,427,148,057,603,
545,198,245,671,640,946,283,469,774,720,514,123,206,482,794,558,545,239,006,
247,648,832,992,566,440,418,453,458,123,736,682,140,978,975,129,655,749,909,
664,825,246,631,173,575,417,177,059,914,660,482,188,644,048,093,917,822,535,
374,689,835,770,363,535,180,452,365,890,223,122,309,139,061,476,801,074,277,
080,111,420,766,271,248,658,766,953,852,328,048,898,361,437,758,726,484,927,
430,933,984,895,233,935,577,013,582,078,959,104,573,599,510,870,212,821,645,
444,145,252,128,654,321,698,692,279,224,417,835,165,019,492,504,125,867,008,
629,452,356,208,350,264,731,946,202,732,628,078,857,742,071,274,879,129,859,
003,204,735,199,193,967,238,086,424,233,152,934,851,544,995,197,404,654,423,
673,446,537,460,861,836,748,871,777,800,279,187,919,398,815,465,130,178,100,
198,281,901,867,527,622,048,438,976,668,987,448,705,178,080,560,777,523,340,
390,548,684,816,830,700,096,782,706,591,549,983,387,464,120,988,526,520,934,
198,819,966,780,281,841,402,553,633,223,528,180,168,732,313,316,253,035,082,
550,809,400,997,352,552,192,161,577,511,471,279,701,114,837,067,538,135,295,
383,553,017,038,805,113,284,096,159,882,507,631,502,443,033,785,146,457,230,
670,170,901,879,459,262,208,624,006,424,687,415,510,443,241,746,405,884,068,
956,984,367,501,407,011,456,904,445,877,768,512,835,581,248,524,935,737,754,
311,564,728,165,972,965,762,207,710,439,798,419,658,854,851,880,692,126,255,
426,741,119,753,318,535,137,419,064,567,707,723,165,845,610,038,354,574,735,
612,710,629,528,405,902,256,341,434,567,049,274,089,255,547,015,438,913,449,
274,193,659,135,075,580,994,933,675,341,396,733,966,511,881,891,968,099,228,
968,991,305,891,993,323,737,044,062,082,146,984,211,253,042,368,181,557,689,
540,177,904,771,889,636,226,343,301,758,483,930,898,421,289,739,289,587,608,
309,431,437,137,183,612,686,980,448,939,595,277,567,676,882,214,919,272,507,
685,272,580,372,669,437,701,954,510,428,071,751,197,346,353,450,478,063,394,
932,088,087,219,369,757,043,114,224,435,217,396,152,119,948,818,060,213,564,
910,445,865,639,331,391,458,266,504,754,358,133,420,495,484,904,436,628,235,
672,987,661,183,905,221,398,449,449,933,949,400,485,271,778,069,844,653,592,
803,306,665,349,067,999,227,671,035,394,307,062,292,802,542,340,993,597,584,
873,179,055,950,511,512,954,410,504,091,782,731,625,872,335,754,135,063,287,
823,609,958,500,586,648,547,570,823,282,819,803,441,013,341,254,042,598,323,
824,381,923,003,805,848,522,581,332,747,229,543,066,692,215,646,541,655,537,
949,289,518,177,526,331,842,524,626,535,292,195,550,479,394,303,801,677,613,
815,103,419,306,591,865,229,676,436,019,430,248,476,427,036,032,048,770,710,
049,154,533,552,403,798,056,197,757,971,429,859,947,704,100,101,940,914,061,
421,741,734,813,924,522,257,938,052,229,766,017,056,532,098,508,863,471,371,
241,359,233,755,177,958,743,849,254,329,178,353,528,784,017,955,392,396,915,
817,398,456,587,316,797,918,148,238,631,992,650,101,680,851,878,572,619,171,
938,883,333,628,722,012,353,089,670,556,098,525,153,172,019,371,182,067,529,
973,727,204,879,999,122,362,733,771,696,091,544,129,072,359,628,546,274,827,
963,382,436,697,948,058,195,811,477,397,424,384,787,509,926,823,592,641,943,
695,739,005,425,057,170,841,602,504,641,984,303,987,402,192,669,947,963,676,
841,578,218,175,008,815,333,515,264,789,077,665,871,557,552,430,961,015,951,
554,741,827,856,133,333,796,568,345,273,588,705,191,557,709,651,388,810,061,
256,299,104,574,465,726,848,368,643,439,632,073,933,240,830,219,637,151,782,
317,997,740,375,928,588,815,942,948,432,866,483,200,742,897,280,551,248,291,
140,367,466,088,912,652,300,942,976,024,100,217,728,505,088,574,166,968,126,
733,415,734,572,810,274,571,217,915,630,386,373,482,859,096,610,604,932,975,
048,528,476,231,449,511,953,149,874,534,083,455,647,236,486,364,345,123,050,
267,248,399,538,735,501,612,817,809,734,657,068,157,765,468,187,268,147,228,
208,884,338,470,842,536,580,164,123,068,990,858,822,516,759,734,060,327,278,
319,170,557,382,332,880,754,536,587,733,094,841,412,909,004,347,841,933,331,
739,612,090,865,580,872,973,624,568,774,810,629,761,508,518,777,816,083,808,
799,699,327,521,497,978,090,292,637,405,200,669,567,444,417,114,209,976,594,
734,090,270,952,088,986,862,634,015,055,621,465,436,029,350,619,426,196,651,
197,097,021,515,444,994,953,573,958,655,422,487,354,970,459,229,342,193,227,
075,645,415,566,742,442,464,078,808,334,166,483,637,453,197,476,307,385,211,
858,123,289,811,397,114,037,736,727,048,576,167,801,184,957,886,198,821,725,
193,177,609,565,001,945,146,537,375,917,077,456,206,800,157,125,645,682,348,
112,992,689,026,202,973,916,929,166,182,522,022,415,077,094,889,816,478,632,
541,456,726,893,167,917,313,133,942,368,461,807,231,469,384,206,471,873,535,
473,928,106,975,064,404,300,541,343,750,707,181,060,686,482,596,738,476,139,
532,280,801,537,230,362,583,098,488,724,945,561,828,812,812,886,038,769,220,
348,208,111,560,163,124,336,324,096,313,145,665,145,355,634,973,651,544,256,
224,312,277,451,690,361,403,864,872,652,784,456,813,608,371,736,364,046,700,
150,226,941,633,442,876,341,345,803,252,462,698,982,290,997,197,085,314,257,
922,964,947,378,667,778,174,963,927,021,362,751,607,984,802,983,970,593,500,
903,836,158,782,592,166,705,777,648,163,987,581,844,891,886,051,031,652,608,
387,354,355,262,287,264,867,628,128,277,019,208,030,544,444,181,185,827,358,
292,001,574,212,522,892,398,483,187,131,126,155,546,529,683,269,425,136,847,
144,148,535,555,978,823,561,273,753,553,282,152,107,798,967,512,318,504,336,
006,158,973,012,159,140,982,317,911,759,527,725,220,898,861,227,696,028,033,
774,480,401,306,534,853,373,772,549,520,399,424,186,926,701,094,484,876,203,
354,664,018,600,155,871,565,131,658,894,204,247,090,657,338,520,511,725,860,
424,484,946,255,366,918,096,802,231,641,621,509,641,905,407,246,842,449,296,
933,221,617,856,800,500,885,137,144,827,057,584,617,579,145,642,644,523,673,
248,669,158,617,684,791,351,792,939,811,163,394,104,338,659,710,138,228,093,
316,996,047,543,307,873,284,648,434,134,659,667,208,477,436,550,240,631,326,
003,538,459,015,616,471,488,109,149,592,442,532,679,593,108,916,737,586,250,
154,704,974,112,912,792,209,678,908,135,194,351,871,713,932,059,098,293,395,
593,668,844,439,417,517,874,635,864,633,289,038,302,550,744,046,086,607,241,
439,309,623,156,698,419,039,443,652,993,805,981,653,747,964,130,542,144,651,
628,186,932,131,472,011,658,903,547,288,157,953,442,340,362,474,221,496,416,
928,776,325,020,057,308,420,424,365,793,218,591,886,302,579,280,286,731,741,
853,834,549,127,216,746,195,248,835,731,922,273,154,281,660,254,840,429,554,
410,019,830,911,756,562,561,848,588,048,612,076,657,349,571,740,847,271,806,
365,786,691,457,204,226,302,237,841,314,481,398,068,634,246,736,885,894,701,
764,031,681,626,657,318,334,519,638,956,573,665,394,598,072,833,540,339,637,
631,726,937,677,226,259,417,818,284,427,391,591,593,812,712,686,603,984,208,
960,763,542,134,258,507,239,656,762,299,552,627,590,670,950,472,730,862,577,
233,715,244,617,444,889,619,408,390,747,285,760,606,947,303,484,867,346,628,
827,174,919,583,826,624,132,279,951,140,914,657,132,226,876,311,124,827,583,
909,049,369,798,129,031,284,153,800,718,434,593,537,142,027,222,786,892,647,
808,871,894,266,510,748,498,544,728,070,919,148,550,065,530,552,390,381,411,
645,214,665,424,429,488,861,233,891,469,827,237,907,621,317,645,162,963,939,
652,012,277,689,244,074,906,968,198,176,589,510,294,505,116,661,941,850,743,
675,754,978,972,512,259,911,714,918,422,274,437,776,527,825,818,506,056,579,
495,207,407,006,515,727,296,352,788,961,942,582,597,794,989,548,211,903,275,
398,047,654,483,292,651,601,101,747,703,597,930,530,051,900,381,378,179,285,
152,009,307,732,206,693,816,101,712,611,841,475,358,546,277,601,831,034,420,
002,194,774,010,002,929,380,702,653,581,505,072,507,371,430,219,192,802,499,
158,006,520,947,333,112,784,613,191,670,367,114,747,134,430,704,056,598,876,
421,013,505,032,479,423,678,022,461,373,062,199,536,898,870,146,749,210,554,
614,774,182,674,516,009,312,508,970,119,934,070,325,111,077,408,974,674,083,
760,200,316,767,849,431,248,141,918,100,590,388,933,563,155,568,701,761,522,
335,609,761,319,637,105,836,066,162,016,542,704,579,997,325,474,912,761,388,
563,204,434,719,317,220,731,039,844,810,014,913,829,707,106,806,543,253,573,
538,559,976,498,214,860,663,575,848,629,938,434,774,605,351,952,898,103,782,
419,605,711,926,389,039,518,246,033,011,429,714,155,565,547,343,878,060,431,
834,984,215,941,369,188,625,705,901,297,146,365,974,207,630,643,684,679,347,
246,742,654,846,859,823,176,633,084,525,397,654,858,031,242,844,282,541,512,
684,021,654,753,769,569,415,038,287,444,732,816,637,718,873,665,666,318,727,
483,564,303,260,262,913,250,236,296,311,557,326,364,794,909,429,373,985,102,
085,826,612,176,068,126,973,131,369,449,991,345,115,083,150,891,886,278,120,
619,353,492,968,403,089,414,911,889,406,283,011,438,909,381,396,062,994,037,
831,889,594,024,224,828,397,014,113,554,396,097,523,050,864,028,044,151,017,
558,523,395,596,843,723,103,814,438,103,795,920,017,086,527,823,328,945,599,
219,627,742,598,348,694,532,119,409,293,988,570,472,264,609,709,884,213,230,
753,941,890,146,926,479,436,724,760,827,009,459,990,723,972,324,997,474,803,
742,203,491,879,778,605,987,135,605,459,602,930,642,073,634,082,151,136,846,
522,531,384,016,285,222,033,112,403,276,915,531,965,924,855,358,616,026,031,
548,362,469,169,969,545,770,603,648,103,961,141,122,996,161,132,806,962,583,
349,462,391,758,536,673,916,716,572,875,359,267,466,218,243,694,992,344,946,
098,432,942,588,176,175,434,352,753,656,290,045,112,691,176,003,538,473,202,
247,329,677,081,086,928,391,868,747,511,395,318,364,808,689,180,075,506,043,
609,962,679,336,353,291,262,661,177,758,177,172,779,580,212,353,229,178,874,
621,158,223,452,475,084,743,818,010,602,840,255,005,507,459,675,933,666,266,
535,914,188,191,717,978,372,862,434,601,219,028,957,563,392,819,847,668,228,
365,723,770,105,377,039,325,278,390,437,879,228,174,174,939,598,320,591,712,
994,222,114,305,157,020,222,949,010,768,824,919,252,544,858,407,120,486,582,
673,485,618,580,664,899,977,801,311,265,546,611,806,159,290,249,072,525,136,
857,112,860,014,268,232,768,477,376,216,922,619,618,322,089,423,303,323,899,
040,913,943,615,591,722,597,380,133,307,925,329,347,738,140,676,982,685,124,
412,539,822,971,599,013,699,336,803,947,004,994,060,788,561,861,047,559,273,
771,121,400,004,350,949,037,743,965,492,327,921,607,471,724,006,169,354,142,
181,966,563,843,463,979,674,512,919,893,128,563,940,713,613,098,145,723,186,
117,954,682,583,807,335,929,442,371,108,328,746,524,023,601,111,470,816,708,
728,033,024,026,008,777,639,996,540,533,922,333,423,780,937,695,583,292,095,
970,565,522,325,903,486,909,497,976,910,209,353,211,575,160,215,014,956,350,
845,367,052,952,241,739,513,747,863,024,971,268,879,986,298,261,206,678,980,
810,513,904,847,053,925,753,890,954,541,251,418,367,763,505,002,025,549,282,
971,568,937,486,567,773,252,619,478,752,888,578,739,856,753,383,304,544,763,
780,950,308,756,290,562,484,588,504,578,555,400,631,953,042,397,920,336,024,
978,570,640,206,913,587,343,032,318,628,696,365,417,352,163,766,360,581,340,
046,334,671,222,170,110,268,420,714,429,986,772,198,560,612,033,617,767,142,
714,394,816,797,581,579,779,091,133,292,027,433,922,176,977,265,338,074,565,
350,039,423,518,951,022,852,990,744,400,594,231,057,561,789,691,302,485,109,
551,118,451,402,966,099,515,724,284,397,399,950,549,410,013,939,123,909,367,
418,494,643,490,834,843,385,180,042,059,185,346,062,278,085,751,596,808,746,
139,183,440,625,880,649,142,718,410,758,188,668,342,938,806,018,943,649,096,
871,974,963,916,242,854,357,772,317,494,064,857,061,413,662,772,480,186,228,
028,157,751,652,271,980,344,991,708,844,669,183,001,249,564,284,605,958,420,
621,512,943,512,080,566,323,965,307,843,491,778,627,269,229,730,057,429,020,
447,370,624,240,066,292,725,011,051,508,969,135,096,836,568,417,363,743,888,
161,906,005,759,092,807,706,489,344,821,078,264,821,251,562,504,147,407,344,
537,999,016,234,391,099,154,202,137,225,942,181,101,802,185,995,216,160,157,
598,663,176,878,082,041,484,466,117,252,805,355,496,779,940,181,975,876,280,
533,066,560,863,633,451,278,760,443,883,845,862,021,484,396,124,660,024,674,
982,935,854,579,256,175,904,637,459,999,497,366,140,844,006,372,643,855,524,
665,221,834,359,449,284,278,517,674,394,214,616,346,810,715,421,548,041,258,
352,848,556,096,510,243,407,170,794,878,309,714,403,689,226,113,148,232,706,
691,366,722,023,429,460,100,683,170,512,564,855,796,300,247,966,016,328,096,
871,843,219,428,022,531,860,396,621,550,627,095,894,452,782,613,445,008,274,
274,854,095,951,762,617,927,284,064,637,722,171,832,559,285,836,986,773,011,
260,121,823,494,614,900,223,376,459,239,110,956,038,415,804,654,522,489,251,
921,705,419,972,879,232,374,788,466,033,934,691,027,849,104,788,171,784,659,
887,273,011,857,227,459,557,845,372,775,351,922,441,659,234,831,401,292,138,
982,088,623,301,766,938,513,334,170,147,586,013,240,592,723,462,867,945,056,
058,538,168,832,743,296,545,696,467,080,971,481,128,631,199,448,275,755,655,
391,395,966,612,898,060,129,016,161,594,817,746,146,725,517,647,622,860,935,
578,991,654,867,865,921,169,060,151,633,194,018,887,991,268,298,864,181,629,
406,613,614,552,147,138,783,464,907,082,625,723,541,420,105,233,617,219,221,
904,923,979,536,504,679,868,794,544,669,459,708,338,134,988,204,631,239,404,
911,656,214,693,354,642,112,610,419,388,045,953,567,240,279,030,956,886,606,
879,120,777,911,783,353,689,237,657,130,967,781,104,589,011,008,516,850,272,
462,619,550,042,625,706,090,407,818,325,372,558,429,343,695,861,032,901,586,
059,107,246,067,176,548,305,363,327,960,274,680,747,122,265,996,268,918,707,
179,477,934,524,657,151,256,340,676,336,461,565,521,663,160,050,146,368,761,
890,934,691,888,505,783,086,883,631,355,388,572,934,685,237,739,112,560,373,
604,516,295,824,712,624,127,856,949,022,159,925,473,044,258,876,164,202,314,
126,697,441,870,105,720,698,480,758,838,373,577,755,679,986,178,258,794,230,
034,506,011,957,890,366,062,848,273,614,809,128,631,883,682,742,905,072,782,
240,267,072,583,350,012,545,371,588,371,146,424,761,798,027,377,106,430,249,
438,134,234,610,263,881,908,793,795,741,281,602,836,584,106,013,380,525,098,
890,860,226,167,750,369,607,943,282,622,392,212,255,550,635,679,641,536,240,
918,345,596,082,598,963,647,081,380,384,712,304,068,427,503,998,937,645,794,
190,805,845,251,119,990,324,295,040,322,764,263,608,662,759,732,181,632,836,
074,004,093,971,496,065,351,036,073,266,067,792,830,014,658,231,983,738,692,
267,450,367,910,315,941,919,621,412,025,210,592,505,772,607,048,206,646,841,
469,561,359,523,263,910,937,181,472,591,657,023,812,384,697,493,390,462,770,
502,673,786,159,778,641,182,792,445,663,419,142,923,961,230,737,513,466,206,
073,330,364,371,064,519,874,994,579,182,624,886,178,018,119,242,976,023,731,
329,738,791,084,046,125,997,251,069,533,808,474,967,735,384,765,550,908,554,
336,898,024,537,809,161,977,096,356,579,736,245,653,144,066,391,501,870,765,
919,628,911,485,390,256,429,833,212,318,507,096,842,549,919,878,675,254,474,
534,766,860,066,877,231,125,064,927,237,276,137,131,451,879,535,036,124,219,
164,228,453,841,304,190,684,204,325,466,465,615,272,719,093,744,595,512,241,
759,562,433,674,261,874,299,558,176,299,425,875,337,511,361,551,473,346,669,
390,686,106,001,214,145,870,446,999,804,074,610,509,311,491,056,937,984,272,
600,557,289,585,192,096,487,556,222,870,636,914,962,285,840,577,155,418,086,
648,906,205,111,633,781,013,147,791,205,512,917,747,838,820,958,282,020,742,
923,651,668,860,852,197,066,654,585,447,981,011,241,939,127,048,046,516,144,
784,074,225,795,906,013,190,259,398,782,996,769,254,630,629,821,480,525,961,
139,707,358,553,806,200,216,089,847,020,793,273,986,092,445,881,346,984,186,
890,881,161,806,135,487,923,234,176,592,508,430,593,019,336,140,226,449,756,
790,478,717,892,152,872,823,396,186,211,416,732,954,305,323,781,266,214,924,
977,338,168,032,186,871,773,822,209,557,831,436,289,309,428,285,931,071,330,
649,737,028,290,870,929,002,001,185,544,257,054,039,937,530,053,709,089,870,
765,577,968,441,259,249,913,741,611,608,499,422,361,511,561,941,613,724,638,
522,363,736,000,837,487,617,129,507,442,272,970,565,736,993,824,116,535,470,
729,857,284,348,406,404,865,831,682,997,513,265,112,761,961,272,735,761,953,
261,861,609,712,258,990,347,764,557,416,983,329,093,150,268,198,555,865,626,
998,609,917,031,715,061,890,416,641,593,918,229,878,977,298,793,417,831,326,
423,302,993,991,581,589,161,297,803,099,688,804,159,404,630,405,424,517,614,
023,012,919,083,665,227,926,544,592,865,677,473,345,820,776,582,003,099,883,
415,603,019,610,925,292,482,910,323,731,357,761,800,907,928,721,428,632,520,
193,637,774,423,678,576,277,024,344,174,133,402,242,206,252,779,548,082,049,
641,897,710,447,445,511,308,145,105,821,485,510,792,889,318,780,438,399,560,
492,938,070,372,338,823,266,121,898,953,398,779,551,810,366,570,133,751,813,
495,095,549,383,423,022,419,084,746,881,196,347,624,053,445,606,593,724,723,
099,224,132,832,384,417,717,035,289,181,679,617,143,275,816,866,077,058,630,
269,931,091,878,651,031,104,616,744,025,316,462,835,518,328,376,738,372,125,
531,595,876,694,884,909,775,625,089,770,505,751,254,559,629,003,791,007,095,
570,264,677,272,650,690,130,563,331,151,819,364,354,281,591,259,594,900,819,
211,696,044,042,950,584,413,630,120,133,903,266,912,970,501,541,785,657,996,
778,372,475,342,610,755,460,426,818,088,576,666,429,348,084,757,751,925,933,
086,277,788,171,173,770,007,739,347,912,897,676,857,459,316,338,424,465,056,
110,405,680,611,066,837,452,204,211,212,303,458,962,356,159,785,457,081,554,
831,315,142,606,337,574,925,940,849,798,567,144,669,046,019,782,310,297,346,
050,118,241,752,935,704,063,984,686,970,257,084,925,541,847,811,504,652,314,
341,038,896,713,454,878,968,054,387,739,443,173,567,765,016,304,914,529,415,
946,877,114,229,603,450,408,502,825,339,233,395,575,163,617,574,339,281,675,
228,273,072,533,560,943,645,117,927,382,476,689,959,783,758,969,747,003,027,
524,478,306,015,862,096,171,744,976,185,312,305,408,983,232,228,360,633,718,
921,290,380,556,261,981,181,583,735,054,274,870,201,182,533,553,356,688,737,
686,179,816,762,780,187,938,117,060,205,597,317,682,381,551,684,990,358,378,
592,377,789,963,615,508,418,165,981,562,947,252,187,130,562,244,350,284,644,
669,416,440,098,334,344,681,042,822,498,309,343,006,023,382,887,577,559,360,
058,322,970,601,847,073,995,918,936,103,884,512,432,277,145,213,400,241,541,
849,509,053,331,832,724,654,628,232,190,663,249,922,303,357,366,039,416,726,
096,262,329,484,448,704,053,312,415,321,916,663,721,855,240,014,370,844,143,
836,875,066,383,359,712,895,831,026,949,440,546,660,298,382,280,410,945,870,
969,624,932,619,778,928,814,763,291,904,606,416,728,861,445,290,591,271,049,
967,198,708,753,904,275,482,346,139,579,483,528,767,388,793,428,683,135,357,
602,210,220,439,532,595,344,216,620,257,427,116,029,927,960,146,786,944,933,
892,326,406,308,725,689,583,375,853,229,948,735,465,787,395,711,036,709,020,
072,869,996,506,514,392,520,328,670,593,598,602,279,067,633,330,147,631,003,
633,587,847,745,845,921,477,534,940,422,665,145,771,185,328,302,955,281,875,
271,841,712,371,575,537,916,244,920,408,712,083,096,339,044,897,140,401,072,
486,840,920,553,444,341,299,058,377,404,788,532,592,218,670,846,645,586,191,
307,659,796,327,475,673,234,670,851,785,872,944,768,927,672,893,835,867,567,
578,362,172,903,308,231,473,315,178,639,320,914,767,343,938,565,962,247,122,
738,329,830,957,524,596,228,323,505,296,065,765,011,755,650,361,076,104,761,
763,905,214,977,441,591,623,527,410,313,133,632,961,305,799,962,728,349,164,
242,523,975,747,268,616,226,127,776,147,240,041,272,747,604,313,819,127,536,
193,386,936,271,940,186,038,129,143,178,821,954,324,519,456,059,474,191,473,
619,815,414,533,497,450,596,941,707,077,765,540,876,918,881,593,479,398,894,
011,981,406,464,310,018,346,136,249,272,789,320,745,451,926,165,156,174,877,
328,063,561,783,174,673,370,450,797,482,145,200,630,990,302,317,833,664,665,
271,287,642,948,823,085,599,249,861,848,958,958,033,015,664,658,134,483,924,
456,533,314,999,222,759,345,009,632,839,321,092,374,051,225,724,358,148,340,
695,974,325,094,653,264,084,994,064,054,571,797,973,971,512,325,766,755,557,
900,060,899,097,180,493,633,301,705,816,056,384,979,919,953,700,817,614,917,
610,676,864,145,310,883,630,729,718,267,534,774,492,125,095,284,154,730,154,
720,212,574,100,740,931,902,389,027,356,638,011,192,303,488,671,306,811,145,
999,578,425,634,070,192,106,605,907,886,782,200,205,193,640,701,690,433,398,
061,508,466,497,552,014,175,998,523,722,791,444,461,507,744,621,901,895,232,
222,370,576,556,224,737,340,366,229,824,556,228,263,365,929,421,740,813,787,
176,661,890,610,342,780,406,046,379,154,839,455,163,146,653,213,729,298,774,
254,607,821,167,532,202,882,701,682,307,880,395,856,079,020,880,764,762,421,
027,695,418,148,026,624,722,143,138,577,983,232,625,170,274,101,600,172,883,
893,221,619,638,262,693,531,202,699,740,582,651,553,906,790,179,146,456,049,
852,454,949,199,990,958,627,181,001,141,969,584,061,836,097,167,795,120,609,
520,683,074,737,220,710,451,040,768,605,344,228,937,250,762,575,116,700,639,
539,714,569,088,465,385,606,748,055,705,273,160,407,344,946,734,800,540,462,
371,669,484,887,314,099,048,167,355,713,301,188,760,598,810,075,154,377,908,
959,298,933,393,260,316,119,700,520,999,782,330,303,210,614,586,689,935,768,
903,621,029,946,690,841,004,460,147,413,426,512,536,660,414,132,960,200,369,
673,414,136,964,200,604,342,117,613,489,712,661,590,229,452,491,833,440,059,
162,068,704,032,072,242,476,949,769,834,466,232,566,139,420,202,880,154,269,
542,873,259,902,441,971,171,903,159,920,012,088,185,333,785,182,677,559,601,
317,290,855,015,355,596,027,934,789,238,412,719,375,576,161,248,973,326,529,
748,248,852,501,099,112,468,171,203,024,197,456,788,913,981,467,607,626,150,
566,721,056,304,453,630,796,698,984,093,856,577,695,796,549,680,663,332,787,
410,852,592,056,635,401,103,835,048,579,846,824,068,171,916,145,743,552,791,
549,916,425,714,679,413,139,121,748,570,864,541,678,590,631,914,341,000,761,
380,480,102,639,282,010,085,962,841,020,382,127,184,652,569,017,376,106,590,
126,992,083,483,364,060,984,025,660,609,645,981,710,734,012,237,189,990,912,
635,763,863,501,759,967,074,913,333,305,706,856,378,210,104,375,127,309,965,
793,002,043,832,515,191,091,740,242,316,169,946,859,740,924,438,961,452,481,
804,613,284,133,850,091,452,117,690,322,518,926,177,817,207,227,749,715,549,
064,724,713,146,181,037,521,439,413,915,697,705,527,061,561,933,928,545,471,
378,532,718,843,625,400,197,041,384,299,836,148,774,285,270,713,240,396,761,
638,342,382,133,542,744,905,949,436,274,383,953,401,519,563,094,793,226,306,
531,215,471,806,789,491,857,781,432,549,412,735,376,194,811,364,459,889,044,
442,972,032,257,877,728,911,687,800,391,470,068,614,726,707,997,023,000,039,
737,247,225,571,462,542,404,618,880,876,928,741,677,155,025,372,039,832,807,
203,912,684,178,455,765,528,511,647,962,226,803,714,460,854,754,662,586,549,
660,134,495,641,528,891,402,324,164,951,441,372,005,839,839,646,966,911,571,
460,342,356,470,734,576,228,857,148,900,046,273,531,067,102,818,164,547,045,
505,277,927,266,354,304,663,405,908,335,757,754,287,344,014,763,225,458,445,
476,921,762,824,204,847,199,560,123,924,795,741,778,891,533,407,493,950,233,
776,129,150,290,446,248,239,501,843,760,051,083,597,740,088,365,382,848,332,
086,500,432,378,073,066,206,702,584,361,298,105,505,112,779,908,681,388,244,
589,444,772,110,472,931,214,536,060,560,413,325,283,526,575,831,437,574,660,
639,522,033,138,701,011,959,809,123,999,305,983,111,179,040,041,354,973,207,
912,383,637,052,996,738,333,262,458,803,591,741,780,646,501,317,739,212,207,
851,508,708,582,075,521,595,437,515,341,173,989,477,193,971,154,928,614,607,
813,461,075,482,122,350,305,172,898,886,602,898,219,184,561,350,885,906,278,
123,304,265,171,897,796,212,162,359,001,862,665,224,086,861,452,029,879,210,
497,784,844,665,688,701,547,490,378,412,705,836,318,945,440,733,298,337,306,
284,320,111,926,030,458,675,270,592,466,095,982,215,631,049,339,742,516,777,
228,918,126,697,748,965,136,182,649,114,929,213,104,025,762,827,991,557,437,
509,009,107,320,908,167,055,925,665,019,150,035,212,109,344,964,584,810,829,
787,302,421,096,330,109,983,674,071,466,309,748,736,510,912,221,077,061,083,
323,037,386,417,614,092,371,478,407,657,749,506,246,342,089,535,939,637,219,
804,967,856,985,585,558,035,558,023,505,552,482,529,571,100,885,219,218,678,
332,893,912,222,928,677,080,061,055,152,649,364,084,803,781,336,541,758,554,
429,535,068,016,488,969,207,889,094,757,456,261,557,589,610,438,710,607,627,
772,027,027,389,771,266,248,614,837,858,113,464,999,675,268,540,817,167,571,
611,469,641,505,791,761,014,968,873,949,277,520,377,657,147,745,844,762,471,
241,661,291,899,234,357,839,535,911,383,658,505,014,184,997,941,015,127,499,
016,378,408,306,052,219,285,935,768,007,514,080,889,069,604,853,950,544,839,
000,158,118,342,558,470,770,410,428,249,134,056,643,634,475,357,026,876,777,
334,529,717,421,186,801,553,579,979,186,057,517,456,035,193,612,821,241,968,
059,805,650,845,012,493,098,618,184,746,729,712,609,359,318,261,131,377,244,
854,139,958,394,132,189,394,934,622,641,127,385,429,673,752,326,418,217,483,
429,223,541,070,657,652,962,973,307,059,308,454,617,065,556,518,394,711,945,
480,447,630,405,986,355,978,214,267,433,340,600,838,463,419,067,484,051,160,
811,795,422,130,882,658,299,722,359,382,872,096,203,172,671,916,401,275,594,
706,260,259,183,761,196,848,048,055,954,107,408,207,373,022,896,240,485,630,
993,438,297,043,148,978,314,570,357,775,317,445,603,964,374,000,260,082,974,
253,128,213,301,733,885,018,900,107,704,908,849,488,654,557,387,293,786,470,
786,487,617,818,555,636,942,533,843,981,193,440,037,158,170,595,504,404,447,
029,237,282,448,339,220,925,217,555,857,397,147,551,971,352,899,818,487,056,
437,778,001,999,879,157,891,770,572,634,199,976,680,367,732,429,033,242,899,
502,675,526,298,721,412,585,274,895,156,542,709,274,131,784,676,696,093,481,
161,946,258,826,487,854,373,274,735,459,385,618,322,283,250,349,196,013,462,
236,668,113,403,502,237,002,529,976,272,955,387,584,386,191,150,343,557,273,
536,960,876,865,645,281,705,117,097,058,814,146,764,701,012,392,522,286,527,
115,854,693,442,342,577,652,177,671,375,409,911,101,697,000,912,842,428,706,
523,140,842,186,088,674,368,299,824,844,293,145,543,783,494,311,744,998,441,
690,710,492,319,867,692,052,686,577,311,748,124,826,376,402,477,364,276,231,
461,754,639,323,707,859,899,064,972,582,318,971,440,159,375,489,643,051,315,
830,882,512,919,421,061,852,132,172,568,744,287,916,771,481,706,557,919,173,
415,005,784,645,793,789,084,083,503,813,508,416,190,262,669,318,246,718,141,
853,469,880,344,045,493,826,817,328,183,672,207,049,744,797,129,925,188,091,
643,615,799,493,028,678,227,856,863,730,263,250,997,234,181,778,400,884,587,
837,971,786,533,373,178,104,402,586,029,490,303,888,597,710,087,240,488,740,
432,102,955,176,872,708,907,919,909,633,107,425,260,882,908,758,484,896,187,
678,132,075,870,038,359,080,278,437,580,158,134,344,046,554,019,972,475,587,
192,653,933,074,915,037,843,327,490,845,621,403,029,369,081,864,498,517,163,
994,574,615,080,061,359,736,694,629,534,190,624,175,722,941,528,868,666,421,
114,491,529,412,350,439,248,487,966,613,527,931,606,255,827,925,641,352,682,
314,233,185,277,062,783,486,466,974,920,461,965,765,979,715,180,805,695,496,
193,280,282,425,722,002,120,407,992,492,504,271,920,821,761,677,160,760,309,
396,087,015,744,706,249,119,722,033,439,728,991,901,539,792,203,540,586,765,
473,932,630,146,583,181,967,546,981,887,662,992,320,085,610,367,885,611,573,
207,703,673,713,263,252,072,635,859,799,740,834,034,507,578,658,497,988,032,
406,577,027,827,194,204,110,901,728,432,977,567,354,589,692,775,252,661,586,
966,428,543,920,513,770,481,164,159,291,370,432,004,761,175,161,716,325,629,
555,728,540,770,283,298,234,956,808,196,719,536,704,471,822,383,570,138,304,
623,470,101,294,030,437,621,115,478,041,281,786,650,368,161,460,631,000,592,
000,983,781,643,605,215,906,708,455,656,917,057,242,956,342,498,004,812,375,
080,801,737,787,445,690,014,315,372,642,140,647,166,586,399,803,488,701,663,
690,590,099,981,871,750,424,475,015,769,944,637,896,091,552,136,292,195,303,
809,811,379,042,861,972,468,398,747,881,497,077,493,208,402,027,742,013,075,
836,805,869,725,114,687,149,496,121,225,982,429,814,391,473,607,041,833,699,
128,155,036,078,401,218,593,952,600,027,606,211,449,972,595,148,322,258,587,
507,473,964,228,249,516,081,768,112,386,132,912,410,945,086,958,348,726,830,
095,996,435,585,487,205,852,359,413,355,536,733,743,412,213,479,797,045,138,
336,213,014,866,661,434,936,076,510,693,698,137,231,684,850,895,801,235,763,
086,216,612,435,529,016,225,114,166,194,430,236,597,576,686,817,963,002,183,
173,817,220,181,636,053,148,480,897,504,556,538,088,806,068,930,571,027,618,
947,143,468,295,710,054,691,147,612,751,938,537,299,711,893,733,616,440,218,
283,977,691,495,789,135,395,956,198,531,955,337,898,182,707,741,360,191,422,
021,323,478,790,816,432,051,001,699,195,140,821,739,981,921,488,873,133,975,
701,663,192,415,763,256,396,262,821,588,875,170,910,646,344,517,348,458,250,
356,635,995,540,990,808,494,588,810,742,148,340,196,962,006,001,549,173,926,
054,522,023,161,463,948,530,099,864,988,105,847,235,429,844,872,155,890,496,
747,008,856,980,069,198,446,692,009,082,636,442,052,714,360,316,731,056,334,
969,226,823,726,886,904,896,424,545,949,268,311,949,356,924,072,645,509,213,
993,764,657,078,490,131,356,635,432,899,920,725,790,785,809,387,094,997,236,
563,835,718,168,600,915,334,384,658,779,478,206,615,868,490,520,453,334,970,
939,861,382,544,094,763,589,109,520,226,806,944,844,277,489,672,036,381,274,
717,686,115,470,889,952,404,593,465,561,092,070,747,265,690,803,782,700,101,
200,577,783,807,104,615,707,469,121,238,746,165,223,360,444,173,879,048,048,
174,248,348,229,386,793,453,445,150,317,273,763,975,314,812,092,367,908,924,
549,396,141,558,337,344,642,227,995,286,818,772,060,478,802,171,659,033,711,
800,658,817,389,272,209,299,662,038,406,478,072,916,582,190,991,512,037,286,
615,353,555,886,936,254,297,483,375,970,034,281,568,511,277,392,781,177,039,
154,758,961,456,780,806,349,223,068,829,694,891,019,239,648,614,359,960,937,
778,574,189,756,926,324,394,219,386,298,074,431,331,374,887,068,286,864,142,
524,812,681,160,275,010,766,213,677,873,571,251,165,935,850,634,305,288,743,
576,194,539,300,744,099,902,280,376,014,589,174,876,898,258,396,905,532,025,
063,831,701,839,504,048,579,157,317,932,398,561,189,088,354,027,425,698,066,
504,476,000,742,988,406,636,404,379,732,698,619,928,420,805,663,024,912,099,
858,232,929,602,088,876,175,719,055,819,812,008,196,363,035,706,790,989,210,
386,629,126,948,421,025,950,449,364,474,066,378,710,267,536,908,565,846,171,
868,089,029,457,889,501,355,447,770,190,612,699,449,709,631,190,463,674,190,
894,491,685,265,149,392,537,833,988,690,111,027,078,452,417,008,573,329,664,
357,036,867,666,977,055,291,369,444,179,397,925,314,130,410,816,100,560,003,
054,336,290,651,436,511,311,259,942,619,644,830,061,731,032,024,898,368,365,
351,918,975,722,030,060,956,321,474,967,465,491,455,325,737,847,687,684,486,
885,638,754,930,112,097,444,908,652,305,944,532,695,657,381,384,692,607,694,
139,641,829,134,831,054,636,412,944,745,969,771,483,624,279,927,050,767,455,
911,426,330,243,870,630,485,797,258,910,795,826,568,313,739,728,485,060,471,
422,329,128,698,312,018,946,112,450,149,362,898,344,188,630,339,176,272,366,
804,505,012,841,422,104,090,349,211,829,012,269,854,451,784,990,729,187,125,
430,461,882,446,769,226,090,101,368,136,392,947,631,654,864,359,346,579,573,
983,005,506,687,331,424,499,140,391,218,006,466,473,332,029,592,164,352,112,
612,243,598,372,356,875,959,887,776,524,541,665,808,485,306,536,815,212,880,
449,906,829,572,613,652,187,458,610,280,624,296,713,249,306,605,366,075,712,
698,662,287,342,439,647,792,479,536,738,822,390,221,685,301,380,088,628,556,
558,208,129,280,890,937,219,252,090,530,031,982,964,893,118,199,168,779,099,
960,868,675,476,319,030,595,953,522,485,731,632,546,531,331,387,567,310,624,
799,670,476,115,379,970,803,467,331,759,906,621,658,718,689,589,071,597,708,
993,537,859,778,135,615,503,454,687,804,480,884,046,951,838,960,150,467,162,
820,204,102,186,490,303,245,469,413,521,297,682,818,785,414,670,401,414,554,
263,495,350,336,520,751,091,495,447,786,740,748,535,869,662,214,818,192,299,
694,843,709,862,894,111,835,509,926,571,635,289,626,181,158,326,277,677,777,
850,609,736,866,556,917,860,636,131,549,479,923,524,579,127,731,179,122,327,
584,642,190,871,732,771,089,078,198,762,564,045,105,033,425,436,165,977,336,
911,478,707,960,870,415,644,282,505,719,597,199,483,446,186,641,574,505,561,
898,064,943,336,419,432,210,235,852,449,290,262,711,152,749,235,647,207,975,
471,219,353,382,647,170,715,172,493,790,884,554,912,300,959,635,335,002,656,
962,067,748,811,897,852,380,673,124,555,183,969,134,040,688,799,102,295,833,
923,996,302,368,656,265,327,178,054,852,344,802,048,986,462,379,760,889,611,
417,759,756,230,593,922,974,031,156,125,479,146,992,740,879,741,541,597,569,
234,538,819,535,554,329,897,765,941,585,756,852,371,731,134,547,397,434,909,
352,890,097,450,337,183,774,944,032,656,119,521,463,438,955,041,893,522,710,
400,075,636,687,968,910,408,344,279,746,583,862,501,809,365,651,921,085,762,
889,902,592,612,407,948,759,955,297,778,012,937,059,484,613,129,803,833,239,
935,027,464,787,923,020,265,225,307,279,828,224,264,339,147,336,594,043,918,
365,757,921,218,602,555,593,543,523,776,113,690,166,157,872,393,148,149,000,
897,928,682,289,583,197,457,692,851,549,794,630,279,175,929,176,877,090,003,
894,360,803,580,710,224,577,640,877,940,718,752,791,580,945,815,621,759,413,
883,257,666,863,128,820,311,351,885,071,767,274,624,188,878,983,632,639,414,
131,820,568,793,460,484,422,692,089,560,247,472,981,322,920,633,037,752,831,
373,960,321,423,392,892,795,277,411,345,788,407,358,367,066,045,119,656,908,
186,736,210,077,865,576,830,171,390,920,395,335,118,683,142,699,332,540,745,
946,245,600,422,538,515,780,433,702,939,734,788,135,635,294,587,602,959,954,
579,895,058,823,105,556,839,418,023,111,496,329,752,929,608,115,916,845,079,
102,150,745,609,609,987,864,172,958,485,511,948,584,026,437,523,202,848,601,
119,799,866,013,596,389,950,646,950,116,325,732,768,934,025,005,774,371,159,
353,269,008,328,697,330,375,285,762,749,769,978,832,163,983,737,081,553,007,
619,857,825,568,539,473,295,762,794,822,027,653,567,991,088,782,471,955,125,
935,447,153,891,088,974,963,764,221,710,273,111,841,894,332,932,708,958,190,
874,795,467,036,614,026,564,015,070,314,303,945,181,400,060,754,878,788,805,
965,844,164,434,321,734,086,867,798,416,609,794,921,251,182,806,276,597,672,
403,070,709,491,802,591,415,221,033,269,980,170,740,125,623,249,619,636,925,
270,640,603,686,350,168,224,815,963,413,034,444,610,330,479,752,516,777,820,
034,051,071,910,138,712,124,209,241,764,340,218,731,676,524,880,552,535,377,
356,386,976,982,096,349,934,350,673,026,016,594,850,638,139,164,644,685,107,
963,957,524,262,062,349,629,400,032,153,138,669,414,617,289,731,335,519,226,
258,599,327,423,335,650,158,968,139,073,165,288,688,676,725,336,553,959,014,
793,325,535,521,336,569,099,452,042,068,727,624,305,543,436,385,539,635,287,
085,713,809,926,531,079,922,622,137,933,492,670,387,271,584,693,456,142,099,
194,785,568,700,202,753,363,094,640,390,380,889,191,883,108,468,492,399,892,
922,934,887,381,128,262,515,718,308,172,544,987,554,215,913,819,877,398,183,
849,287,709,438,990,772,354,701,626,780,508,988,937,279,943,307,758,680,609,
274,637,710,024,876,489,477,275,238,097,265,268,551,858,343,800,868,610,540,
383,021,204,985,127,521,265,458,272,411,635,327,266,876,500,372,097,252,882,
892,224,753,606,916,748,854,499,856,275,507,564,449,238,852,430,055,168,771,
438,014,897,388,734,225,624,929,384,390,861,370,198,735,317,440,523,492,181,
093,460,292,524,162,142,677,887,805,723,560,143,063,344,856,748,297,828,999,
020,797,294,050,030,141,745,470,548,021,589,771,956,313,971,855,582,472,927,
616,712,250,932,149,356,014,965,696,351,664,179,128,538,987,510,475,863,470,
374,187,629,286,337,273,229,482,098,949,981,207,919,832,952,757,143,668,928,
248,583,704,853,160,436,385,692,272,842,027,067,469,243,643,624,101,339,344,
433,014,601,831,774,433,226,989,752,606,157,066,356,060,996,011,063,272,480,
704,483,773,238,773,566,921,683,538,684,380,125,426,801,085,149,045,362,129,
260,470,623,216,737,235,013,327,885,689,908,004,608,475,364,298,632,517,010,
918,587,776,354,167,422,655,506,363,759,076,697,342,086,379,207,118,259,548,
167,276,225,760,615,136,586,865,482,589,001,733,277,683,668,653,705,392,767,
176,400,130,847,745,784,405,878,482,796,477,610,394,251,649,023,314,430,920,
948,109,525,784,449,616,477,472,512,899,511,092,742,140,044,032,127,692,795,
305,720,699,572,590,280,024,617,973,937,343,174,328,103,236,394,550,222,181,
575,625,633,672,524,912,114,152,987,048,683,519,333,854,319,108,285,916,682,
468,567,263,018,231,305,684,720,140,773,505,863,514,731,332,795,603,718,558,
624,680,929,607,227,829,965,551,998,025,873,024,121,129,996,501,636,283,176,
038,713,429,851,167,969,567,012,363,378,141,692,667,188,525,506,895,281,042,
254,550,473,955,841,818,284,770,429,851,135,816,929,713,813,239,613,984,464,
569,981,688,078,781,087,843,109,086,200,817,504,216,423,763,565,902,008,888,
204,520,965,193,349,242,910,630,655,930,697,855,446,876,572,167,206,137,388,
975,566,481,280,958,018,006,347,734,257,996,856,276,427,732,489,736,306,582,
473,690,567,725,218,489,943,961,171,270,385,121,765,232,357,779,971,137,045,
099,635,625,285,449,341,607,425,948,228,461,818,819,953,192,052,083,597,851,
332,072,997,181,057,390,325,999,154,781,272,199,826,581,451,557,133,878,329,
236,676,094,620,545,270,303,881,633,164,494,202,284,787,650,962,259,209,304,
557,860,538,087,857,976,474,263,504,643,949,551,406,562,229,154,489,294,860,
191,121,863,544,630,932,396,708,055,218,176,219,480,517,444,225,929,404,539,
198,733,145,817,309,393,142,903,086,691,972,962,642,539,623,173,096,743,070,
197,584,641,719,651,097,352,424,640,641,231,220,002,149,647,107,858,056,758,
864,977,773,687,885,041,936,715,908,981,659,849,829,571,268,260,274,857,005,
156,796,294,511,561,982,937,645,457,662,758,854,580,339,030,900,533,943,994,
903,352,037,531,655,174,763,312,095,205,606,049,522,578,203,600,512,293,312,
202,324,531,164,792,979,630,078,155,261,555,201,602,443,820,139,517,751,712,
061,646,211,728,364,448,848,272,282,242,781,155,369,824,200,980,057,932,884,
030,193,194,212,494,501,240,973,629,628,299,356,117,290,322,009,304,023,287,
654,717,134,697,837,376,864,325,993,239,817,685,852,415,453,972,574,289,127,
501,767,729,261,815,577,496,202,935,678,291,090,090,541,897,553,327,097,114,
608,968,665,984,405,392,063,072,011,923,733,103,995,174,594,494,430,544,827,
439,685,521,327,872,528,339,841,072,807,119,513,725,234,951,750,964,730,130,
680,680,920,622,801,993,799,414,382,471,099,060,631,273,969,936,406,523,275,
658,935,612,376,848,831,800,734,992,124,814,059,591,134,804,398,850,320,414,
401,022,887,198,881,354,677,828,236,872,628,519,510,806,297,500,096,437,438,
831,570,839,918,551,650,005,439,300,134,008,383,029,661,368,289,289,728,234,
197,485,744,536,291,190,366,275,174,388,770,104,308,313,059,588,259,488,995,
524,699,933,676,155,993,855,391,329,650,523,781,441,435,772,465,322,797,875,
038,680,457,320,418,392,775,362,533,627,766,334,973,311,887,365,892,754,238,
588,810,111,198,714,158,046,110,004,822,900,293,042,818,376,490,396,530,760,
462,670,354,707,809,377,510,239,574,729,918,112,060,385,900,377,582,213,950,
139,877,597,140,932,899,093,359,904,000,107,266,760,220,270,974,867,251,330,
407,712,683,711,481,603,391,020,646,415,793,132,880,132,935,721,356,583,276,
169,427,195,293,802,606,435,848,538,906,079,460,818,567,635,327,773,640,547,
113,076,352,209,161,816,303,864,220,888,172,257,898,365,272,581,574,062,528,
126,198,428,060,164,882,761,831,848,295,080,819,511,989,683,914,021,309,811,
082,890,547,554,791,261,505,382,133,437,984,354,059,673,907,375,149,511,368,
117,633,949,220,466,409,920,593,687,219,725,588,416,116,577,711,583,571,749,
994,576,833,232,438,681,259,178,092,707,752,989,697,145,956,369,189,383,620,
937,736,096,780,505,656,605,564,131,879,815,083,909,280,094,095,538,603,939,
398,433,572,798,080,659,417,522,241,641,959,441,544,091,244,638,565,405,905,
483,152,311,461,753,261,147,513,792,600,039,962,356,565,027,906,129,183,358,
812,108,070,984,838,367,745,508,572,439,589,788,664,861,516,903,128,046,190,
550,600,054,459,618,454,212,536,938,397,312,671,108,388,530,190,277,027,785,
877,225,227,247,180,059,017,484,604,898,811,849,074,189,454,014,039,797,381,
017,201,054,495,570,236,854,640,083,039,022,868,304,243,588,489,458,764,362,
691,692,068,522,848,045,972,639,931,654,642,022,068,093,975,250,727,365,175,
389,790,193,732,489,554,508,720,430,990,175,782,579,757,629,534,378,398,546,
756,870,794,528,969,999,903,013,795,579,532,067,935,788,265,117,308,569,118,
680,938,569,848,149,007,212,267,875,896,849,264,453,857,029,487,787,597,296,
150,896,749,124,473,508,753,696,120,423,783,818,657,083,414,836,872,529,369,
159,851,418,524,498,375,874,471,159,878,289,944,138,636,702,288,899,284,268,
124,133,025,485,326,152,491,405,926,540,050,400,416,607,204,343,693,892,820,
514,160,874,393,395,425,629,727,588,040,197,189,979,914,373,478,965,502,619,
141,028,401,103,433,302,622,267,882,944,547,545,889,622,978,869,872,417,649,
768,282,299,857,459,358,376,830,331,946,412,521,507,598,081,893,524,520,601,
331,908,850,606,885,980,979,029,000,628,323,895,306,946,155,967,448,678,393,
237,975,122,028,071,904,450,356,219,630,595,659,984,068,363,756,135,122,782,
122,627,061,622,702,576,454,304,531,986,359,842,982,920,101,235,424,454,169,
278,150,195,369,219,174,754,000,230,559,592,610,947,061,436,352,212,620,930,
255,220,566,712,946,615,664,468,029,346,411,888,531,098,767,473,494,536,622,
840,196,930,291,811,049,310,811,650,759,726,601,246,436,566,582,116,589,266,
207,174,082,646,153,538,899,410,190,335,601,953,542,961,929,999,645,325,766,
513,571,364,191,614,186,098,210,691,132,815,051,319,257,515,409,342,026,153,
682,383,360,416,077,653,521,346,042,278,786,265,844,592,448,334,653,651,078,
978,359,157,559,280,718,968,485,074,882,974,902,461,079,324,212,376,371,869,
152,277,972,615,087,798,626,847,581,446,360,124,644,604,853,321,523,755,572,
295,944,228,911,590,132,543,416,517,140,000,476,343,081,985,296,064,718,110,
312,724,445,855,339,407,361,228,224,019,998,051,139,224,966,129,543,939,815,
224,612,882,293,139,427,574,828,202,388,185,227,752,009,968,980,719,567,820,
002,350,850,146,843,779,290,862,023,660,625,646,131,830,378,599,678,455,919,
612,494,323,992,273,461,295,363,361,863,289,157,799,231,839,465,947,459,319,
603,537,984,224,393,284,177,651,286,805,785,033,973,307,603,637,467,606,578,
598,678,820,898,641,595,616,446,735,553,648,878,478,004,413,767,465,976,257,
640,208,119,966,954,869,604,980,817,041,347,047,972,479,026,116,756,752,312,
189,231,259,476,419,511,526,999,400,837,196,503,939,599,177,392,694,518,039,
021,793,052,258,356,466,614,847,250,305,465,233,781,680,901,025,797,630,109,
790,554,195,067,249,083,920,550,653,378,466,839,920,711,453,619,729,958,904,
788,606,379,106,140,342,478,658,650,028,822,440,843,730,436,736,995,166,617,
820,651,694,572,893,129,743,617,375,166,066,279,871,228,975,291,159,184,381,
618,702,459,169,948,658,469,350,346,871,670,909,339,923,169,975,855,128,913,
017,464,087,313,366,700,171,589,054,489,585,235,033,395,595,751,084,075,415,
297,917,349,853,244,874,898,496,306,396,203,807,253,454,381,704,861,216,764,
165,330,611,864,440,623,402,176,199,038,591,865,452,572,387,042,044,610,745,
310,093,541,682,381,570,392,628,897,770,022,182,328,720,228,236,104,716,144,
982,158,412,931,489,820,804,225,240,653,097,101,328,384,624,473,547,437,680,
979,896,961,064,635,654,340,899,974,416,114,915,182,076,960,741,567,562,060,
785,875,131,769,362,016,630,786,322,132,440,234,389,054,728,341,775,289,173,
020,012,591,928,294,440,572,727,987,364,585,279,005,000,778,192,669,385,102,
325,968,612,457,509,088,709,628,702,721,672,091,267,859,140,596,438,115,799,
055,045,649,492,549,873,438,119,761,241,810,916,486,073,837,580,950,119,577,
900,522,745,938,633,316,777,614,757,305,467,325,377,819,566,904,898,139,825,
720,144,237,576,602,879,515,202,905,572,386,091,290,344,830,393,017,118,247,
425,324,966,868,475,900,058,595,406,568,652,409,124,625,173,930,801,953,930,
071,681,791,835,367,996,247,759,734,482,106,796,157,071,718,712,810,442,653,
772,381,960,604,442,151,092,380,124,022,472,914,319,339,759,744,178,731,149,
921,968,680,519,003,340,760,785,761,318,950,165,720,541,739,501,942,706,139,
337,609,102,746,265,036,351,134,673,155,198,576,828,116,848,184,134,646,897,
436,381,619,410,482,673,950,070,163,483,282,856,433,537,002,840,813,270,366,
953,759,395,630,493,386,560,410,679,307,366,734,021,542,702,144,327,876,056,
558,357,831,064,395,734,527,344,552,774,225,031,892,984,973,784,078,708,483,
925,508,782,337,671,664,570,682,919,971,310,372,607,717,673,270,662,469,912,
446,792,425,349,896,140,745,617,992,587,811,077,223,416,693,674,483,298,521,
663,250,042,451,556,410,692,492,977,154,706,834,727,204,749,542,055,906,768,
696,098,555,165,251,721,327,680,133,622,835,210,072,862,829,024,264,229,202,
716,653,016,269,369,039,432,525,107,652,290,006,954,650,910,348,004,715,865,
723,863,717,145,009,582,360,668,850,705,363,526,780,087,631,770,960,720,594,
012,859,899,773,942,743,882,121,737,661,702,418,249,039,076,393,563,323,444,
994,303,007,103,969,301,758,278,586,658,348,814,460,185,828,636,206,835,600,
405,347,215,374,671,960,290,791,121,749,274,230,910,898,714,014,853,334,668,
340,000,831,065,133,752,751,747,051,953,824,093,044,290,245,497,740,291,835,
428,098,521,335,916,019,924,306,446,459,206,327,810,955,854,169,126,107,441,
243,745,808,256,642,003,396,197,746,740,260,779,751,909,288,222,157,669,397,
545,716,451,624,785,455,427,856,256,620,094,732,238,353,538,461,614,101,038,
239,973,778,966,283,862,979,287,236,807,382,866,913,473,247,523,595,353,627,
096,825,690,658,398,293,612,504,698,082,831,476,134,351,524,765,405,754,170,
373,034,443,310,916,701,933,912,049,350,700,843,285,204,262,918,835,264,156,
861,106,970,796,378,095,351,097,590,842,504,833,523,156,171,426,069,606,431,
852,599,944,261,961,553,315,999,735,973,171,782,570,720,663,546,266,273,602,
709,790,518,681,201,439,450,726,772,688,328,781,642,617,892,892,628,726,739,
796,143,040,111,820,423,519,365,426,262,012,139,090,796,160,574,774,491,109,
271,453,597,995,565,329,226,852,288,462,470,527,681,340,880,400,476,048,767,
003,262,812,049,264,858,519,450,651,126,084,635,392,508,307,668,565,518,983,
104,365,444,311,292,639,071,671,274,042,447,861,374,669,015,880,657,297,009,
196,182,336,110,275,523,279,505,320,004,552,963,730,429,901,011,084,482,369,
206,858,387,418,646,008,349,024,443,125,061,494,711,960,406,175,669,652,302,
745,577,917,037,775,409,390,841,170,614,635,600,478,548,548,790,047,464,691,
207,620,066,583,345,882,818,580,580,527,818,277,503,052,896,501,236,178,251,
365,150,482,049,829,332,892,728,505,519,778,371,288,440,547,251,122,793,732,
589,858,211,507,693,208,556,863,819,954,771,354,874,428,301,855,099,054,667,
182,083,953,504,844,773,632,797,923,765,784,291,006,103,358,829,395,832,211,
554,424,941,348,065,516,256,830,338,965,969,474,449,063,888,661,577,967,854,
952,908,366,500,735,035,557,205,587,993,390,369,549,161,285,544,628,836,351,
823,669,825,478,763,662,534,182,274,842,270,005,063,714,148,228,664,387,469,
632,363,351,062,337,931,111,516,941,810,510,923,692,261,706,923,718,223,283,
134,853,304,755,140,987,394,559,016,573,494,993,320,595,329,189,705,125,091,
964,925,940,471,727,340,213,070,525,003,380,753,593,921,081,337,975,623,316,
599,359,029,099,115,358,468,440,939,052,734,595,948,335,189,871,711,355,172,
358,464,643,027,992,598,273,253,012,007,817,534,510,281,379,919,419,976,292,
395,154,011,401,503,380,660,122,101,156,495,329,638,902,017,340,973,978,678,
887,611,114,987,482,115,879,464,101,287,682,662,529,693,955,298,312,109,105,
576,951,020,095,537,290,481,581,592,572,783,497,853,754,638,281,418,425,885,
799,950,549,563,785,911,993,642,493,741,974,152,022,992,433,798,785,336,504,
070,508,718,252,631,841,219,355,145,327,481,417,816,267,896,972,493,958,531,
030,297,581,709,218,658,769,683,190,204,849,431,888,669,640,516,489,490,437,
533,769,408,790,090,776,594,168,525,201,226,134,079,962,933,188,454,129,199,
805,504,189,632,897,973,592,860,356,107,729,490,976,740,179,286,937,357,539,
579,137,835,307,160,226,779,828,226,882,684,405,513,207,238,898,901,409,361,
168,941,890,449,799,950,565,647,919,605,826,661,320,957,088,582,082,769,798,
405,497,311,732,441,071,746,462,646,957,347,805,739,825,575,580,827,625,871,
731,980,359,063,218,577,573,598,459,178,221,989,239,041,851,415,216,364,703,
886,682,847,860,185,824,844,736,829,276,320,334,945,113,014,176,319,065,151,
126,899,885,207,570,581,330,963,639,236,867,524,735,711,580,851,274,707,835,
776,216,110,019,254,246,099,882,972,710,721,523,495,856,701,761,414,809,493,
618,910,638,413,538,098,914,472,880,140,137,510,329,797,339,919,602,323,573,
836,336,563,034,326,444,471,880,106,667,837,814,919,110,213,955,510,654,381,
247,057,291,641,205,676,450,767,373,982,591,148,287,787,412,025,747,500,778,
347,237,112,340,087,115,229,244,833,350,358,807,922,710,727,610,060,422,201,
759,034,990,079,282,624,784,335,716,909,836,640,078,845,541,680,187,971,706,
150,606,768,340,625,708,947,829,711,533,379,930,939,754,166,591,521,685,127,
959,528,201,202,609,638,251,649,180,202,323,844,942,731,262,709,199,910,087,
866,494,222,617,707,341,654,236,632,487,330,140,890,421,834,511,435,557,337,
007,008,323,677,120,899,543,253,770,397,498,469,411,173,763,736,495,118,260,
708,857,295,665,001,016,007,646,944,139,661,347,118,565,090,611,693,781,996,
743,857,114,594,278,780,955,152,778,018,234,987,641,858,961,237,961,331,054,
086,250,492,277,441,767,395,974,936,738,161,168,670,535,834,640,067,307,920,
215,023,843,706,123,625,853,351,209,979,078,227,650,231,956,465,302,710,591,
545,808,583,294,820,392,246,919,873,109,719,087,106,501,356,575,869,156,459,
200,407,670,273,954,649,855,644,503,093,405,344,691,123,860,203,043,183,967,
685,992,180,612,210,717,003,521,733,938,448,750,893,745,287,801,771,724,202,
507,972,173,288,940,458,361,285,140,314,366,896,178,671,418,014,521,521,087,
905,548,198,131,580,982,109,388,591,562,022,495,552,960,697,932,468,310,803,
880,642,545,765,079,196,099,217,323,101,389,365,969,303,215,159,353,469,712,
624,394,640,432,805,129,973,292,219,545,766,902,011,174,961,027,933,066,254,
927,648,213,194,259,200,448,546,056,566,992,596,166,849,511,435,449,857,281,
728,001,621,421,238,874,980,520,288,038,099,602,443,458,784,506,955,275,571,
238,677,317,768,722,097,254,832,890,057,298,689,826,189,819,968,764,460,205,
019,063,722,863,693,200,415,641,655,712,287,148,159,267,388,344,347,395,448,
243,916,929,442,311,355,797,538,609,951,778,673,891,320,665,084,335,681,951,
460,485,922,015,924,960,323,681,098,070,901,011,033,700,393,620,530,558,414,
065,774,712,146,485,414,106,687,011,585,164,280,614,690,555,098,727,815,148,
648,592,516,111,482,367,257,220,188,325,950,826,000,551,913,382,705,994,475,
896,356,268,415,384,062,861,287,926,559,350,050,656,426,282,467,984,553,203,
237,223,340,727,289,369,390,543,573,912,935,367,651,767,412,470,829,193,311,
335,291,792,261,551,894,299,212,029,386,829,241,159,966,220,673,112,318,541,
728,349,068,182,931,443,668,978,038,557,915,794,573,874,788,873,315,485,617,
054,539,979,025,938,774,647,649,579,653,562,588,160,613,747,203,764,656,384,
736,737,547,817,841,464,080,575,727,651,265,139,128,856,475,765,578,083,873,
725,559,604,198,453,604,073,310,600,304,258,922,147,974,092,530,524,570,013,
364,286,768,140,437,946,965,011,514,417,386,435,132,407,756,217,701,432,690,
672,885,274,387,596,284,302,618,185,615,541,553,115,860,424,578,767,547,412,
771,333,737,155,145,247,503,431,572,645,509,624,971,825,558,012,054,949,461,
337,337,297,197,221,901,306,423,702,450,648,902,261,193,932,639,847,384,494,
440,295,804,523,738,645,776,922,677,169,606,307,844,476,903,512,661,952,711,
380,861,376,685,430,730,143,605,485,369,410,302,078,086,896,262,196,125,992,
217,629,211,966,438,282,099,467,680,865,221,085,259,978,010,689,440,642,154,
279,790,895,367,422,764,894,026,343,372,846,930,595,977,066,818,412,079,550,
603,588,433,466,869,223,904,096,405,284,964,171,656,596,303,052,090,413,765,
403,916,329,963,923,959,768,465,288,659,041,257,633,363,892,509,059,673,090,
665,959,003,400,210,450,349,295,478,525,931,569,462,048,123,032,529,934,319,
727,627,712,006,339,711,423,306,413,652,803,900,693,632,681,189,860,261,486,
416,070,584,607,855,633,215,643,572,340,780,819,282,061,689,576,735,225,792,
273,868,019,217,994,482,998,034,222,259,823,130,155,673,306,470,929,646,462,
008,873,050,687,664,607,661,196,401,006,692,643,222,021,129,970,758,866,224,
664,333,032,185,572,641,433,392,046,159,246,985,383,445,624,007,562,449,521,
182,840,029,905,892,915,706,329,057,382,792,175,390,578,694,996,240,987,716,
459,801,316,136,477,799,199,580,028,395,088,703,700,457,709,358,836,310,869,
677,922,205,779,518,950,629,450,509,620,628,790,584,940,653,288,122,176,396,
876,129,336,109,698,752,171,584,936,042,661,497,873,694,182,498,782,209,037,
057,346,157,245,690,766,835,005,121,691,745,450,111,447,568,141,659,847,221,
672,245,267,397,361,791,752,537,676,114,333,359,673,472,901,300,154,434,474,
238,446,590,400,753,055,383,945,397,381,871,043,916,824,266,076,464,270,616,
366,040,250,958,859,484,354,318,320,798,470,648,338,198,544,912,216,398,632,
634,041,797,808,222,972,762,933,101,323,270,845,473,739,066,453,665,424,804,
163,310,466,764,272,537,275,554,254,429,949,322,886,599,077,531,517,470,134,
606,274,678,592,353,531,173,956,871,314,900,156,849,049,800,478,320,328,891,
957,288,565,821,492,516,454,611,523,338,357,704,216,969,727,016,170,542,282,
503,580,891,339,459,751,236,731,722,267,215,510,915,282,255,409,801,649,343,
959,379,857,620,534,328,108,568,949,394,586,161,577,626,435,695,440,491,916,
510,015,935,676,693,001,863,421,501,356,227,833,442,899,178,007,681,660,421,
381,725,229,577,904,964,295,198,437,024,528,694,645,362,566,594,793,232,332,
233,872,309,034,390,736,923,259,835,024,904,925,391,456,693,048,988,048,209,
978,203,984,240,301,633,253,295,180,215,143,699,244,772,907,985,830,905,512,
666,928,491,393,384,023,204,898,290,385,884,142,034,529,198,110,794,958,923,
273,554,067,496,103,403,524,386,794,042,175,126,807,904,413,075,915,713,571,
898,316,714,862,158,549,684,407,621,551,831,804,411,314,188,607,891,299,177,
517,571,928,188,167,419,447,542,311,501,505,698,895,981,045,002,695,253,580,
851,525,765,692,911,346,624,756,155,324,252,158,733,707,368,201,694,591,189,
511,919,353,262,165,616,855,568,551,386,130,249,450,411,498,575,333,078,492,
017,229,302,177,458,880,054,215,911,485,043,859,003,530,003,374,005,082,862,
151,859,376,153,279,305,756,823,330,228,523,020,541,680,771,580,295,526,797,
127,838,135,649,879,523,045,306,511,169,559,714,291,152,586,235,289,007,928,
700,863,838,105,485,809,691,097,633,836,870,401,658,594,712,372,583,067,387,
229,542,070,827,398,795,387,481,669,605,994,854,065,723,563,372,009,349,081,
389,107,522,445,592,101,959,202,374,477,669,161,257,724,730,099,023,847,727,
836,567,709,733,946,589,190,548,648,561,385,031,409,053,769,005,384,681,284,
482,955,169,655,248,195,690,742,014,100,186,409,659,076,952,756,974,475,768,
672,386,748,944,899,345,764,010,916,207,380,509,160,228,242,797,283,662,529,
858,663,959,094,305,180,269,490,320,454,756,735,538,365,411,405,224,306,130,
113,489,059,267,234,062,996,917,022,684,994,362,321,840,619,698,170,164,907,
197,896,933,323,463,657,010,597,111,258,644,868,127,908,844,423,925,423,143,
704,933,287,294,228,318,085,984,821,709,967,691,792,206,978,210,938,096,382,
502,983,410,518,897,679,273,277,096,055,336,642,946,867,669,879,410,304,952,
817,598,773,040,862,036,837,933,280,398,428,140,632,721,323,378,670,241,733,
024,187,698,694,183,237,983,866,259,601,100,480,608,413,575,456,567,357,053,
933,973,287,001,961,549,730,115,820,445,989,004,393,851,524,997,175,156,391,
706,785,877,685,755,041,093,331,090,347,039,713,425,794,799,949,523,760,712,
973,758,157,938,787,163,228,594,205,124,004,045,233,318,167,686,627,365,393,
186,014,695,472,557,902,686,146,206,887,525,117,361,576,228,174,816,709,666,
891,653,643,254,159,083,803,801,133,232,987,750,051,389,064,763,058,982,193,
596,741,874,703,512,417,968,204,046,557,941,394,486,266,864,057,881,833,450,
883,668,868,311,142,995,387,602,243,135,020,722,948,536,493,204,287,670,997,
262,618,029,635,270,369,247,797,443,079,875,629,882,994,062,756,825,147,894,
579,627,239,705,065,588,263,563,067,282,700,724,908,235,433,084,951,819,715,
062,230,898,811,996,185,932,935,034,652,647,264,991,562,752,709,634,121,082,
114,633,796,205,216,609,009,853,489,296,054,556,494,376,710,902,247,696,602,
857,768,497,731,353,589,548,923,548,690,291,390,547,060,552,607,628,880,439,
327,374,802,461,293,773,813,844,174,205,712,824,495,965,811,387,930,631,691,
405,646,325,447,370,971,953,400,178,864,136,357,757,685,797,044,950,305,166,
137,370,638,713,973,594,975,161,694,524,334,750,913,758,751,713,746,262,183,
686,740,185,065,187,288,484,900,306,518,254,186,939,916,249,777,666,701,891,
482,710,386,153,622,506,567,278,649,902,158,363,165,223,769,078,575,278,078,
748,395,014,394,226,974,932,321,871,147,434,810,210,671,621,765,475,923,460,
367,343,399,600,004,733,775,853,531,341,642,115,916,242,074,571,590,253,113,
118,620,276,431,896,347,695,012,795,005,300,803,442,582,256,209,208,157,522,
275,106,883,980,245,341,368,661,633,076,639,976,582,245,065,391,671,101,927,
508,298,571,145,554,570,707,039,936,620,673,946,999,657,320,646,497,137,381,
669,757,987,781,288,362,855,482,481,043,932,828,470,759,579,548,429,738,598,
925,337,333,943,282,144,342,477,724,986,440,762,701,463,630,104,675,252,592,
392,999,426,715,429,314,348,309,574,648,782,588,629,820,778,800,045,154,961,
526,187,830,355,200,727,944,566,919,565,171,522,701,471,858,994,044,771,016,
207,809,848,788,579,431,143,354,078,122,962,799,706,325,545,711,046,295,491,
231,001,697,446,139,462,861,195,441,169,540,156,147,899,640,002,328,478,515,
289,920,924,925,210,409,546,443,112,425,628,889,184,698,994,956,383,236,649,
478,273,844,665,461,738,266,910,564,556,426,500,638,836,298,097,256,634,252,
531,211,297,402,220,186,619,437,246,070,113,837,208,549,020,154,700,402,512,
058,254,514,588,035,063,875,545,115,345,307,126,771,564,015,992,832,973,719,
104,817,380,466,290,899,322,929,921,252,314,255,548,289,230,444,371,497,056,
104,385,811,282,470,187,358,539,245,859,116,605,664,570,998,161,464,819,058,
953,797,478,271,683,902,911,330,003,435,963,431,301,614,909,233,341,090,038,
765,841,987,107,721,516,267,831,349,608,260,478,912,716,817,953,665,954,539,
011,394,162,595,749,018,629,659,476,325,997,985,184,303,644,819,047,764,188,
356,443,755,178,941,473,837,049,652,767,218,063,179,229,002,725,096,773,469,
088,283,708,700,110,364,490,480,820,468,455,293,421,329,770,267,370,531,601,
590,310,051,725,151,268,647,938,864,178,411,544,381,584,949,986,074,988,806,
470,722,656,264,665,191,934,252,375,050,209,172,927,433,174,851,796,033,033,
450,347,003,834,871,465,562,890,555,709,335,844,705,549,749,966,241,230,858,
495,352,218,097,700,673,510,748,782,723,479,117,593,191,292,513,800,857,084,
712,928,028,336,424,263,002,542,827,624,983,898,646,568,506,699,710,959,536,
284,686,839,241,482,223,852,540,703,107,598,705,245,722,907,734,628,174,545,
732,712,893,142,104,832,360,378,658,870,529,249,266,363,145,650,457,199,825,
448,376,643,678,861,886,002,782,376,183,371,178,499,912,208,042,881,061,776,
595,552,096,747,328,805,989,841,569,303,106,848,896,935,417,376,441,709,227,
004,061,914,546,099,315,062,125,155,438,481,251,625,256,876,545,882,811,420,
982,259,539,840,143,254,850,285,130,994,831,962,175,325,632,429,857,779,709,
199,947,616,503,795,563,134,767,021,463,432,699,096,267,252,326,191,448,712,
402,037,014,033,291,145,829,184,131,630,029,931,562,063,908,288,687,697,615,
216,825,756,379,547,613,564,808,169,417,256,596,887,619,033,491,361,791,003,
568,734,811,691,972,112,101,101,590,982,060,512,594,271,538,149,480,207,170,
504,107,022,930,474,336,122,388,660,064,948,359,875,469,847,370,956,623,935,
028,243,793,576,867,886,172,102,243,100,335,049,261,686,304,947,439,747,570,
505,184,702,989,153,288,103,680,824,804,214,546,609,857,162,729,050,176,166,
785,269,032,354,916,820,335,070,052,726,961,962,850,501,559,928,365,323,362,
688,654,083,281,790,234,080,819,609,593,885,646,781,767,416,579,569,170,243,
090,271,329,179,936,783,191,527,754,409,467,508,418,647,481,600,918,286,370,
868,345,853,020,406,491,524,880,363,298,003,179,728,378,069,131,326,368,529,
542,347,852,380,803,498,960,876,676,390,448,570,311,010,787,055,662,062,741,
944,961,628,750,969,959,732,081,261,554,249,125,151,209,303,777,118,939,639,
321,413,054,732,309,840,492,782,143,330,844,337,625,586,889,481,642,856,058,
560,533,289,413,490,385,898,823,590,918,044,528,108,901,668,447,241,510,721,
577,825,235,389,174,380,117,394,587,122,220,663,766,700,442,149,045,015,211,
238,580,995,912,354,871,792,581,354,809,510,894,443,990,973,553,983,102,577,
444,145,781,203,289,090,616,888,653,652,257,109,310,961,613,361,892,954,862,
605,964,053,982,713,985,536,572,271,839,578,680,702,106,486,943,470,408,011,
320,378,983,810,149,575,480,634,817,825,192,108,657,139,093,488,101,479,738,
026,905,542,768,832,159,685,097,645,760,311,235,301,234,854,860,942,954,982,
080,034,948,218,279,488,565,454,051,287,422,894,982,448,179,714,946,004,726,
959,194,801,917,295,296,043,088,157,576,295,043,980,452,205,117,517,905,041,
185,837,869,774,388,595,535,367,538,826,023,605,570,352,196,147,303,793,204,
267,791,167,566,715,404,117,515,940,489,322,541,891,597,652,052,266,508,022,
059,553,406,926,251,750,924,561,233,133,948,068,986,373,795,721,682,597,570,
794,172,938,808,585,055,971,167,979,558,416,813,622,857,450,769,925,437,649,
510,042,464,468,090,125,973,554,357,399,971,133,133,724,186,648,655,306,082,
355,268,506,367,285,045,563,839,862,517,229,264,062,462,668,628,393,070,038,
748,807,827,392,754,847,905,493,000,044,990,284,948,305,936,439,275,605,443,
315,823,994,154,049,163,791,791,251,151,170,426,689,685,698,791,026,223,234,
523,507,255,127,371,609,538,052,409,484,874,711,416,187,480,639,518,202,929,
866,523,022,312,231,107,663,587,917,392,545,871,813,689,720,062,942,056,065,
787,226,613,715,204,277,259,247,640,599,503,705,102,440,741,405,714,257,533,
500,497,983,308,772,269,549,075,640,517,768,262,277,564,985,245,008,948,290,
862,447,202,437,765,261,982,321,897,191,839,222,362,181,466,557,455,223,798,
469,301,033,447,744,992,211,448,150,385,423,287,189,402,977,081,223,892,476,
250,607,328,676,917,750,011,597,526,449,429,303,278,723,324,363,611,761,026,
238,361,071,117,478,815,886,409,372,143,862,259,404,597,048,828,393,052,901,
494,753,851,044,380,193,024,124,529,947,190,785,568,778,860,052,643,868,162,
598,483,114,224,855,989,134,703,589,093,205,064,349,267,354,723,574,161,374,
200,916,177,557,550,326,153,910,703,019,595,056,836,624,423,150,471,248,917,
514,329,932,372,893,547,519,926,378,690,351,746,833,916,848,412,724,739,621,
967,520,044,590,528,361,710,234,097,877,408,964,685,314,559,691,801,855,984,
054,537,083,636,379,251,899,506,204,621,194,102,141,902,914,241,918,327,949,
334,599,391,140,036,153,980,459,739,916,795,101,933,234,526,951,003,446,182,
263,674,926,800,997,903,696,838,034,319,789,859,035,114,289,749,561,460,071,
449,581,444,952,475,410,445,929,937,987,821,335,710,454,752,077,266,922,492,
695,927,562,395,440,160,072,116,296,722,906,208,433,881,415,046,657,381,079,
313,062,773,400,723,182,345,406,649,769,940,735,111,287,137,370,359,888,476,
567,089,556,486,391,570,550,147,047,684,728,816,931,131,136,824,574,063,024,
321,949,485,912,887,362,145,981,062,246,640,591,043,347,417,581,919,913,810,
216,633,021,911,425,622,431,706,057,820,258,497,166,024,319,682,472,425,777,
738,119,145,033,794,717,929,183,683,205,631,589,481,763,896,963,753,979,093,
925,998,434,578,413,555,750,242,489,078,738,867,671,405,357,450,888,872,304,
938,330,790,512,208,429,425,727,769,423,504,593,777,775,919,829,307,137,498,
188,199,071,973,785,134,592,846,091,725,440,959,787,133,201,020,803,751,634,
209,985,315,545,410,752,800,561,000,039,494,332,434,411,468,713,297,744,879,
020,194,071,054,332,962,388,976,478,712,662,908,100,493,450,278,103,115,930,
628,265,891,441,187,604,494,714,800,724,818,720,125,103,679,555,740,159,711,
194,456,520,511,517,187,048,766,882,854,992,223,687,871,947,085,467,184,418,
452,693,077,976,039,957,439,848,777,844,897,917,390,829,580,541,149,011,038,
029,590,879,929,753,879,345,826,587,046,036,565,515,171,923,361,870,520,442,
051,432,104,770,574,207,560,487,083,507,290,245,539,361,602,846,798,097,368,
205,687,506,006,184,598,862,500,777,923,109,929,858,498,247,315,976,368,418,
348,643,905,266,044,637,630,594,133,468,723,025,079,923,326,263,443,420,347,
857,755,562,675,389,359,679,998,744,683,202,453,623,644,040,311,206,817,545,
785,070,917,785,106,405,245,337,041,717,706,455,757,837,750,470,450,135,029,
733,488,866,830,022,978,724,359,708,712,633,697,244,866,082,516,359,855,209,
354,140,528,151,822,661,822,041,540,431,386,876,420,451,847,318,807,011,735,
972,237,452,856,736,542,817,501,107,010,762,427,083,026,526,328,839,157,471,
794,500,259,076,179,667,409,961,316,901,298,684,785,596,502,511,608,091,485,
573,542,511,792,143,785,189,229,874,863,963,195,822,230,521,848,444,866,237,
371,832,041,591,353,801,355,721,785,850,794,838,983,179,230,613,836,005,782,
236,514,917,738,556,692,569,243,361,929,290,748,625,976,617,984,990,844,873,
226,261,251,230,319,215,445,565,096,428,426,576,024,785,932,803,407,325,233,
499,432,913,266,523,619,250,977,426,082,598,689,150,937,713,565,959,302,914,
090,116,716,107,339,507,148,682,307,206,319,751,370,027,095,400,939,537,516,
187,958,158,290,780,716,744,566,291,792,366,955,587,799,839,253,072,529,107,
283,534,624,821,322,704,041,540,566,749,140,556,719,579,015,480,924,424,995,
421,735,194,491,194,648,583,082,761,746,679,197,230,662,826,353,975,232,141,
251,626,385,234,306,948,093,524,076,139,042,716,242,810,023,452,352,550,020,
939,757,410,073,462,415,545,018,924,597,961,672,760,390,516,349,436,248,841,
111,313,436,468,115,239,309,990,372,874,473,819,591,020,172,287,481,947,321,
927,671,089,959,167,450,834,265,101,042,332,134,685,400,586,207,123,122,331,
965,583,328,416,915,681,168,151,798,546,494,214,791,943,026,812,456,228,525,
443,595,839,417,823,242,027,282,600,135,110,205,151,519,967,165,063,903,801,
838,331,412,229,595,362,039,397,427,798,680,654,665,592,933,951,508,322,081,
711,883,026,539,281,237,338,871,078,886,349,835,628,692,429,091,529,451,737,
788,778,106,895,067,893,269,351,355,866,861,994,656,019,155,106,797,998,919,
351,077,182,970,547,775,631,168,771,866,592,205,432,591,466,356,831,777,197,
399,166,726,981,187,922,259,860,263,188,632,022,048,025,632,893,313,823,521,
711,298,040,452,323,740,006,199,479,947,920,001,244,863,912,267,998,914,126,
225,501,728,666,887,168,054,781,265,576,613,424,961,377,275,525,994,753,157,
990,927,104,881,608,900,881,179,922,946,192,535,662,072,167,404,224,680,321,
793,587,960,199,949,300,207,180,034,480,054,492,522,539,774,245,477,169,131,
096,104,789,721,496,812,854,582,379,106,534,906,394,792,906,036,485,351,935,
943,773,396,170,203,078,972,545,473,126,522,314,180,766,255,516,761,664,248,
581,259,980,880,478,516,320,809,710,901,848,348,395,170,875,796,523,939,140,
145,511,743,031,362,522,076,232,342,154,985,412,994,140,375,620,184,529,101,
885,291,317,427,513,581,962,645,171,368,725,227,209,076,126,806,323,075,401,
267,796,622,607,362,435,762,070,181,493,656,159,574,675,192,281,300,091,891,
687,129,922,116,927,264,790,656,948,728,774,821,343,815,433,280,609,036,050,
190,394,474,608,386,676,448,431,726,821,696,684,629,263,128,294,940,648,091,
582,898,662,338,428,891,442,480,150,924,921,258,037,270,157,635,416,735,711,
243,797,991,542,868,579,123,544,714,066,853,528,301,286,405,482,376,533,694,
529,491,223,058,378,614,328,149,330,434,519,275,868,568,700,381,585,884,505,
354,708,892,712,585,254,108,029,354,731,075,578,648,895,457,996,938,069,545,
522,176,419,577,481,607,006,347,729,047,284,653,102,581,308,192,802,061,400,
210,140,873,427,201,768,778,332,213,065,568,789,316,178,076,717,861,385,007,
979,362,718,543,909,286,573,072,330,303,201,439,593,568,975,319,936,653,219,
160,811,024,265,130,009,685,177,616,105,901,381,612,982,850,326,009,162,855,
008,024,603,059,213,685,004,833,032,088,449,614,932,903,717,879,017,801,891,
235,135,149,093,136,888,747,626,363,238,952,420,170,943,687,092,128,250,004,
538,244,698,968,262,230,085,400,817,755,362,060,951,387,825,845,491,960,490,
970,543,025,333,579,767,352,377,828,312,413,101,896,960,126,330,086,856,882,
012,119,356,892,570,818,544,103,947,097,496,732,560,701,694,456,137,359,608,
093,838,733,009,008,233,026,703,413,288,746,889,091,911,166,521,084,942,539,
705,777,600,894,355,091,215,330,431,857,838,125,677,147,787,733,995,062,227,
539,118,481,940,753,336,799,773,983,706,087,017,568,730,606,550,360,427,438,
575,676,447,434,668,694,347,479,534,076,132,716,199,216,857,499,987,669,770,
737,728,804,093,143,519,732,331,541,840,903,270,610,752,141,239,021,061,261,
684,101,322,160,898,636,767,458,417,787,333,633,883,908,636,155,465,069,527,
742,474,432,600,769,129,651,698,361,127,506,385,442,680,881,480,365,770,398,
424,154,570,694,993,870,646,604,690,789,797,023,776,819,901,156,632,805,688,
182,862,484,154,291,819,602,877,697,983,468,936,859,956,795,641,351,368,033,
608,058,301,177,319,841,491,523,494,940,037,456,898,882,471,087,732,683,432,
542,896,503,074,554,496,178,769,903,449,516,082,233,529,575,340,940,628,571,
065,901,760,659,210,720,465,687,533,192,589,202,068,571,075,214,349,444,077,
627,550,206,036,913,124,848,753,609,165,820,877,102,851,208,157,514,013,125,
905,093,546,253,369,270,737,768,928,180,603,707,417,504,090,275,322,186,591,
274,184,335,533,546,752,299,985,670,616,030,108,166,103,615,528,459,848,253,
412,787,597,249,045,379,982,034,274,349,619,187,302,220,678,361,089,692,788,
212,916,445,221,999,299,014,154,596,541,955,257,561,707,183,848,765,626,116,
546,336,212,621,462,120,423,567,132,141,859,926,969,466,370,753,980,974,753,
181,070,708,155,516,305,435,343,073,539,539,430,274,171,927,369,622,403,932,
676,716,884,026,046,734,559,835,671,784,550,939,966,790,688,384,410,620,948,
843,293,331,379,677,212,472,453,715,058,016,886,097,547,111,816,885,925,856,
426,350,814,019,008,966,107,814,872,625,003,449,567,120,163,552,812,599,487,
449,124,042,290,873,932,438,691,558,092,214,265,429,867,324,716,329,435,210,
500,946,748,648,197,315,795,463,037,531,192,305,753,801,207,502,291,083,426,
264,964,708,079,620,829,578,213,321,200,446,392,090,646,802,688,435,399,298,
246,655,862,728,309,124,797,613,299,735,921,198,722,988,761,343,601,045,413,
940,988,904,248,647,102,851,298,701,703,536,015,490,527,402,411,929,036,552,
347,438,223,064,359,892,658,633,116,720,156,893,750,806,987,878,912,460,946,
645,286,588,965,435,890,584,802,975,757,311,791,188,200,768,112,111,619,527,
409,396,726,542,789,569,692,149,887,118,514,371,674,495,902,118,603,746,674,
230,352,911,151,418,691,128,641,978,227,515,244,719,746,830,631,364,250,383,
351,058,629,942,420,823,561,171,157,374,028,973,257,541,321,927,085,786,007,
976,460,842,858,793,101,707,992,980,531,624,433,156,109,288,033,717,262,594,
853,400,055,285,264,026,008,776,593,631,271,118,428,345,053,370,453,542,148,
461,198,192,485,306,378,471,810,789,956,186,906,910,950,305,009,178,074,299,
505,358,812,208,744,276,566,246,071,210,144,981,333,464,373,622,083,552,721,
967,108,215,664,310,780,824,200,817,042,241,336,532,874,661,826,802,507,633,
034,708,645,619,781,217,559,826,808,196,262,743,626,376,813,998,011,846,449,
517,522,522,153,472,392,461,425,649,361,121,515,222,508,095,577,223,775,624,
127,873,630,361,149,452,931,892,003,957,208,185,982,942,679,186,608,968,494,
040,641,439,533,943,884,154,924,193,315,992,750,627,817,514,319,002,862,522,
589,924,262,822,127,901,135,788,485,344,552,307,744,723,935,029,006,562,620,
145,822,268,653,590,268,094,593,929,331,652,202,191,480,420,613,294,252,931,
491,441,494,077,733,175,599,474,191,264,223,585,895,368,154,454,466,051,302,
544,961,521,855,209,864,980,330,446,804,416,177,759,991,935,386,923,578,542,
832,433,373,846,968,668,288,277,605,173,959,021,277,975,001,164,280,482,850,
878,292,100,371,383,457,592,558,410,958,507,226,660,546,604,975,895,852,956,
064,647,646,869,743,896,974,769,696,745,814,240,385,732,806,006,000,498,668,
909,990,336,944,911,349,851,554,886,307,933,181,257,472,063,700,905,583,440,
221,503,927,940,660,779,184,037,712,129,692,502,089,394,339,195,243,643,029,
329,426,884,816,475,954,735,933,329,625,600,160,972,395,155,948,957,100,228,
259,018,465,125,987,555,000,047,965,517,217,259,491,545,995,352,309,150,745,
867,909,182,049,155,178,660,126,293,573,119,416,833,600,587,486,124,425,100,
759,284,845,260,333,179,727,183,570,876,495,104,662,029,399,391,341,415,457,
835,486,374,027,107,803,871,644,957,834,463,391,762,693,428,539,834,200,084,
262,683,146,266,543,760,519,793,434,355,656,397,576,972,796,680,379,969,189,
254,125,220,742,410,214,319,360,726,530,977,022,111,888,575,163,824,975,938,
070,764,808,477,934,009,594,492,638,692,688,491,732,898,284,182,903,613,324,
559,507,029,739,964,731,205,633,712,562,612,638,703,324,715,273,428,029,639,
207,522,092,919,796,585,342,954,636,387,198,181,253,110,944,750,338,424,062,
410,061,424,341,712,551,245,409,862,790,205,864,848,620,401,777,199,947,859,
441,883,572,438,843,078,833,111,654,846,280,937,178,816,242,150,575,210,947,
681,626,833,440,242,969,497,237,779,562,926,497,536,563,013,991,188,020,128,
589,930,238,038,182,195,341,186,728,506,207,481,715,473,471,290,439,949,361,
655,929,101,834,248,954,964,386,473,359,633,004,968,857,807,260,991,227,238,
703,347,608,994,814,169,447,169,517,181,892,724,688,074,521,581,983,409,840,
089,815,406,524,000,203,413,734,323,047,095,979,355,025,649,452,797,295,423,
213,334,051,576,025,304,071,434,594,862,696,652,242,414,214,457,201,331,307,
063,746,305,042,143,626,173,743,230,084,141,563,861,316,526,737,318,427,195,
430,332,325,746,928,067,656,924,147,625,314,057,315,865,974,393,597,935,763,
130,764,342,270,847,284,037,557,143,387,721,441,317,295,875,360,330,578,272,
249,387,948,861,665,786,944,325,435,929,917,513,738,045,164,847,098,976,639,
184,353,079,323,931,716,597,389,387,419,944,537,580,390,955,058,246,126,749,
332,328,569,141,293,514,130,077,755,866,600,124,592,507,593,876,298,400,270,
594,708,306,382,922,803,908,571,018,063,934,734,425,425,437,127,138,543,652,
107,947,073,965,884,647,384,703,910,545,215,595,573,439,645,603,750,489,437,
577,877,296,124,140,223,006,669,415,014,016,788,698,318,197,228,924,330,520,
942,875,791,263,379,303,297,946,750,117,884,442,468,696,238,095,391,594,506,
289,477,442,720,926,499,726,894,970,739,736,146,398,172,325,158,565,346,921,
924,678,483,191,041,765,629,562,218,551,550,569,051,316,543,403,705,629,823,
375,722,016,401,995,069,311,523,249,667,711,442,580,963,516,746,553,415,168,
336,064,158,177,085,146,013,580,406,596,621,869,561,089,948,801,193,659,174,
340,653,633,089,403,104,889,373,404,874,622,872,025,999,939,482,179,808,620,
986,950,715,325,786,501,885,433,045,221,511,751,203,347,393,849,237,735,110,
952,760,841,646,266,196,229,907,118,643,044,631,736,457,705,291,819,069,001,
517,387,876,822,707,639,958,052,526,924,510,601,125,730,391,714,141,860,971,
527,207,909,033,782,451,987,652,203,818,604,594,363,254,133,265,531,977,130,
104,280,958,831,422,260,337,776,109,196,566,681,439,078,401,940,839,225,116,
100,663,413,694,117,885,845,780,412,051,689,146,754,199,734,006,669,754,746,
271,027,770,892,926,182,058,495,525,748,210,324,300,645,844,720,345,188,297,
667,509,347,682,209,485,292,164,377,969,398,218,518,185,221,299,521,986,165,
296,918,009,789,472,702,895,575,882,988,910,620,567,504,217,785,165,587,390,
807,480,949,297,851,350,884,015,207,080,111,537,812,012,323,642,063,118,849,
560,452,315,629,789,466,034,359,547,613,635,272,607,922,084,216,527,247,235,
027,448,128,474,741,254,572,096,195,352,447,561,776,682,262,707,975,190,927,
123,806,297,082,257,570,782,292,235,571,835,261,028,439,609,276,229,903,103,
071,488,909,852,294,085,887,168,397,305,439,166,167,834,421,233,124,197,919,
305,926,473,232,476,044,453,040,425,085,101,902,826,158,886,452,676,750,706,
797,835,692,138,589,676,557,836,252,867,524,698,908,033,392,877,448,230,576,
829,722,823,899,069,306,151,045,305,471,632,149,316,321,125,646,177,185,189,
600,704,878,652,585,914,858,574,023,581,301,503,775,197,090,904,446,259,150,
428,799,244,922,437,711,396,822,090,374,422,420,166,484,854,374,016,870,552,
450,648,242,267,859,921,886,082,962,592,011,245,091,044,177,136,032,834,496,
958,919,707,919,257,694,279,805,429,320,117,403,698,183,654,823,662,852,139,
041,830,824,551,716,860,427,838,697,067,111,990,458,907,385,932,811,456,165,
877,303,577,447,365,052,989,389,413,611,931,019,479,084,648,887,658,320,078,
008,745,178,787,570,565,665,670,595,040,300,075,151,825,738,266,609,829,756,
193,845,616,137,091,133,246,622,660,833,893,134,348,664,550,110,680,161,519,
619,822,016,588,422,465,949,585,208,400,381,977,028,400,409,987,155,141,508,
670,568,237,997,018,444,080,425,839,824,163,630,725,675,972,377,164,946,712,
836,402,080,678,130,623,600,257,075,671,651,847,459,244,651,085,464,594,851,
130,959,524,867,320,100,151,403,020,590,296,547,993,741,743,482,975,390,832,
268,598,519,851,549,407,795,402,736,983,598,172,644,213,922,053,797,113,588,
691,509,511,691,166,268,923,033,448,252,944,987,852,402,260,518,681,365,817,
849,664,333,671,198,045,411,855,641,215,910,285,943,762,961,726,806,225,835,
189,522,357,943,902,935,712,464,544,530,651,231,971,570,723,366,054,891,002,
627,642,116,833,763,761,336,871,910,319,967,783,889,111,820,851,875,611,093,
722,459,905,867,168,089,919,679,214,305,155,456,536,606,439,655,173,749,294,
246,096,804,241,337,909,575,553,470,677,922,090,640,507,427,658,787,153,026,
534,844,660,783,725,478,757,315,872,561,267,856,023,068,759,252,348,034,461,
057,441,479,856,176,693,789,133,221,806,496,113,030,974,065,752,924,353,862,
025,559,691,589,819,859,387,777,632,852,435,748,648,635,363,035,968,874,609,
257,850,947,200,023,347,571,552,330,929,504,830,127,546,048,176,701,130,481,
809,033,196,768,513,112,445,548,712,165,891,274,035,401,859,226,296,551,965,
985,861,061,241,624,465,887,916,214,446,318,352,014,876,252,192,498,672,449,
843,406,930,147,311,066,606,260,434,192,180,311,867,967,959,613,368,885,064,
886,650,533,864,758,599,587,093,374,237,398,420,452,696,180,496,680,489,594,
878,411,241,385,444,354,371,551,468,586,160,401,525,006,229,570,263,336,638,
487,464,228,276,402,172,955,500,996,805,916,107,791,223,606,459,546,725,568,
845,151,910,255,463,442,871,287,007,632,806,738,534,217,148,616,849,904,052,
608,137,514,618,010,073,555,562,065,404,238,166,407,727,680,007,215,839,236,
198,294,459,973,829,664,566,327,924,178,064,438,172,373,810,495,363,815,721,
639,277,490,713,131,278,193,647,286,384,301,589,830,465,086,743,295,310,981,
253,615,943,722,706,917,860,766,403,949,752,614,594,771,997,795,893,511,400,
320,016,334,738,937,067,863,845,781,852,963,940,026,395,585,325,735,415,739,
971,794,733,590,633,476,198,981,909,558,827,123,527,890,358,828,668,622,909,
611,631,797,853,264,543,817,715,598,342,608,599,495,238,064,196,776,435,031,
088,704,767,657,412,570,819,510,823,165,155,022,147,021,341,731,244,876,990,
981,079,094,512,362,526,824,089,474,224,358,566,964,919,313,321,046,382,802,
648,936,730,500,128,476,767,265,487,311,681,676,655,167,347,110,896,088,878,
845,786,439,333,640,245,150,030,949,901,326,372,824,312,991,932,580,619,751,
775,871,378,711,574,500,153,893,402,408,329,737,849,840,636,251,607,438,451,
040,483,410,311,820,209,276,218,358,207,637,687,240,927,992,754,681,130,706,
726,288,815,169,542,546,365,579,446,215,614,422,166,266,766,208,826,165,765,
639,632,745,977,697,715,042,080,540,212,955,725,077,975,896,127,480,386,701,
028,801,355,970,058,767,498,098,960,364,014,273,602,935,811,913,301,427,845,
071,986,726,949,253,873,610,623,330,731,020,818,126,495,908,571,982,941,954,
093,259,461,064,889,200,730,370,383,904,067,755,320,989,518,168,825,212,871,
028,424,771,993,371,350,288,639,124,074,631,202,304,610,534,391,381,602,926,
078,750,931,381,662,127,448,430,266,953,343,409,944,621,521,396,902,853,593,
563,766,506,255,242,040,696,670,385,999,301,930,184,492,220,730,133,967,029,
493,018,349,233,523,384,695,801,743,777,225,609,513,046,750,791,307,249,476,
455,545,382,705,650,269,579,212,617,472,664,937,489,758,137,877,816,338,211,
270,140,857,130,198,099,794,205,014,858,520,313,744,202,270,291,778,137,308,
163,380,909,294,792,614,967,998,218,814,002,468,551,119,037,579,603,285,437,
244,502,241,896,629,486,834,047,476,955,695,179,863,651,840,023,602,669,116,
423,588,940,418,427,537,615,667,988,948,240,281,785,448,307,589,953,022,420,
961,981,124,302,101,273,590,358,695,872,586,361,531,186,738,750,858,504,120,
157,160,471,750,652,942,576,380,384,930,405,962,059,163,037,439,052,815,694,
251,525,574,491,407,370,864,162,860,920,742,252,685,580,581,972,927,133,933,
441,349,534,240,262,934,738,468,176,535,479,647,409,808,952,196,668,644,774,
351,030,406,063,584,425,375,214,349,701,369,514,885,034,278,091,265,768,220,
694,062,170,128,896,759,168,812,189,637,009,484,630,416,889,230,742,125,892,
515,122,162,259,383,940,854,262,175,680,133,144,200,217,900,368,531,070,793,
261,072,746,976,414,922,873,907,165,587,223,514,112,117,731,645,200,923,015,
407,116,533,005,723,123,905,158,147,562,685,102,074,750,934,880,883,109,968,
023,672,400,498,080,483,920,951,405,103,851,795,175,058,944,686,618,645,442,
669,826,598,657,741,826,976,138,888,565,794,975,626,015,094,917,627,135,542,
868,206,725,871,000,648,195,568,082,083,665,770,388,416,175,472,101,342,607,
413,874,213,095,815,919,787,092,501,750,530,297,010,841,165,165,535,934,036,
579,495,341,858,195,641,614,123,195,026,286,889,638,383,487,224,246,143,856,
474,040,669,573,389,270,323,584,836,204,407,108,447,662,152,069,644,644,428,
226,582,861,780,413,761,160,268,278,020,336,221,145,907,560,830,604,273,470,
160,903,937,216,726,209,358,985,732,803,002,391,597,346,909,198,256,135,546,
257,495,724,903,279,149,398,779,035,583,357,194,777,834,089,054,335,585,259,
401,964,423,250,918,435,579,760,649,942,583,439,412,878,812,404,257,911,223,
123,281,341,373,298,430,527,382,266,926,845,885,357,947,731,190,756,927,197,
778,246,017,121,133,275,339,469,033,043,830,307,987,886,234,187,884,302,010,
995,193,978,211,451,368,580,967,826,911,925,342,968,231,554,522,759,478,151,
475,435,030,953,134,006,766,263,665,322,760,081,374,645,640,475,652,219,555,
926,889,693,316,357,477,943,571,344,184,802,542,666,450,941,056,355,863,027,
150,042,237,690,245,801,216,171,139,372,876,304,850,894,517,424,805,662,929,
733,474,531,923,521,307,415,034,552,431,391,443,802,308,203,450,037,057,933,
841,721,127,207,185,442,107,700,165,129,326,636,031,924,341,804,866,970,315,
425,332,996,425,818,415,625,578,794,129,554,719,718,482,802,989,177,732,522,
434,897,546,360,625,501,172,117,968,538,305,566,947,158,381,583,215,436,692,
896,933,353,198,907,321,667,155,683,012,990,958,156,533,746,349,670,429,526,
789,400,797,980,897,557,852,097,204,542,352,047,257,559,324,234,255,903,022,
944,423,300,715,309,148,042,726,357,129,597,720,146,818,628,895,218,752,162,
840,073,204,110,748,436,294,202,254,936,080,055,560,031,223,202,878,695,452,
027,977,559,917,031,958,570,433,815,524,942,337,174,513,648,192,838,949,756,
226,437,995,790,128,705,887,068,499,502,983,700,158,882,515,685,029,661,317,
698,666,778,937,066,994,023,679,852,795,990,086,876,592,505,765,745,110,616,
215,018,036,166,496,364,635,166,049,672,621,913,869,174,341,110,605,746,979,
217,543,265,212,274,554,401,242,870,912,142,326,063,358,526,830,040,314,486,
263,659,453,274,740,332,421,126,269,926,656,000,446,616,707,129,147,749,027,
112,593,044,772,801,666,527,265,306,783,511,354,792,998,343,449,761,208,826,
314,399,962,233,461,059,754,064,479,321,584,344,913,559,633,592,102,735,775,
120,419,235,916,818,425,211,026,090,672,579,925,922,599,438,834,481,695,634,
958,140,836,372,629,401,351,240,023,638,965,837,146,762,914,830,082,804,873,
838,279,315,333,274,430,267,601,535,097,062,784,140,175,476,794,503,761,801,
483,413,743,005,010,435,729,710,484,354,603,626,098,809,333,309,629,625,664,
250,545,550,854,357,611,310,536,558,893,486,969,728,529,963,330,621,024,909,
521,902,344,050,023,525,623,142,940,858,350,211,030,160,973,305,133,449,859,
937,885,279,100,122,737,894,773,633,089,181,680,561,933,675,755,219,856,150,
434,876,348,925,000,985,210,680,826,232,455,745,913,845,464,685,126,651,071,
152,370,054,751,854,137,847,686,095,230,542,957,313,545,218,218,603,675,106,
234,980,549,860,794,150,179,975,432,920,462,194,996,362,308,180,041,327,862,
224,662,675,263,109,966,292,678,355,453,701,433,521,485,614,212,833,612,410,
425,370,283,939,121,289,749,219,484,868,530,234,905,284,528,539,141,359,609,
471,816,107,473,373,370,512,837,087,961,723,818,612,506,937,029,548,303,210,
298,210,072,289,272,409,747,497,979,812,306,499,583,021,291,853,526,822,079,
314,609,193,096,532,701,283,254,174,121,128,060,748,394,897,052,480,904,581,
148,019,777,228,503,255,845,882,864,702,145,673,631,515,866,616,097,767,440,
534,167,767,677,429,497,424,111,128,626,649,152,296,833,321,191,092,387,191,
660,526,192,219,908,316,983,271,684,970,673,589,410,378,948,187,261,042,538,
577,830,947,213,958,759,010,283,935,956,441,766,992,076,672,018,378,514,623,
795,724,988,488,588,186,386,201,248,163,541,912,931,555,519,723,171,218,030,
470,886,894,938,043,806,989,657,788,045,356,550,373,361,098,871,366,932,101,
897,375,944,501,825,193,568,769,705,491,120,126,197,218,586,247,796,581,106,
710,625,805,874,937,457,693,127,951,630,862,861,019,502,796,862,801,935,170,
047,507,541,526,933,516,617,674,259,976,534,145,418,768,403,474,409,491,770,
362,117,926,929,990,150,822,266,253,949,728,997,338,678,367,699,744,946,234,
477,733,276,734,574,208,301,385,752,865,431,893,048,516,096,880,974,100,806,
278,954,921,298,637,459,549,923,826,019,814,174,747,946,751,462,395,420,142,
928,622,485,541,329,176,137,131,276,682,504,607,554,747,861,367,130,492,295,
277,775,299,428,337,316,397,092,157,380,795,465,887,156,344,997,441,176,802,
084,103,278,383,770,377,268,617,730,708,533,238,627,481,986,079,406,562,991,
500,180,324,936,130,678,936,208,706,424,899,026,715,754,411,530,601,000,194,
854,092,330,152,248,455,447,114,344,620,923,766,759,094,920,361,096,889,941,
408,604,985,331,135,365,953,363,962,449,718,139,595,592,429,449,054,705,535,
021,202,987,456,349,902,913,178,403,217,512,877,719,446,739,341,009,146,097,
887,886,326,846,257,717,570,241,057,909,841,143,341,465,883,527,707,733,659,
130,896,577,394,791,585,092,541,418,424,549,408,044,782,136,023,270,057,965,
238,482,718,230,343,918,132,709,318,245,654,418,890,245,296,921,251,945,382,
315,913,807,337,897,194,636,268,112,784,141,448,353,180,652,481,753,936,747,
513,336,236,792,349,415,234,124,778,589,763,635,388,846,854,088,835,204,198,
388,466,382,585,197,540,211,932,048,019,927,267,427,905,340,974,689,301,186,
856,220,561,320,136,124,027,854,617,371,140,479,520,859,561,997,078,473,642,
400,946,663,090,642,813,394,950,601,208,681,906,226,888,489,720,295,982,782,
396,199,253,041,769,596,735,658,453,235,319,706,350,111,052,016,510,800,955,
324,677,343,944,734,425,417,583,032,814,572,906,021,733,968,885,070,007,926,
600,409,469,045,309,896,212,055,879,332,941,297,113,800,794,737,722,911,775,
079,050,001,640,096,450,546,342,356,188,248,183,876,568,260,943,096,442,936,
100,781,956,993,289,604,023,725,516,169,236,740,106,482,219,469,235,682,494,
862,287,688,954,388,815,329,492,387,245,790,249,384,282,216,035,014,021,381,
591,696,290,934,088,206,701,205,293,846,085,105,264,494,585,800,063,373,613,
339,405,934,646,656,375,379,153,131,687,168,399,202,829,182,928,257,123,465,
210,750,686,581,454,530,114,373,491,249,288,158,906,116,736,728,134,024,125,
269,732,657,381,084,845,891,437,873,974,964,912,007,599,643,820,402,467,286,
874,870,664,985,289,836,724,999,916,597,144,699,535,662,052,243,533,211,914,
168,467,149,031,434,780,877,344,280,703,348,545,309,833,816,210,432,326,914,
322,517,807,483,606,198,085,933,254,630,537,144,067,204,649,950,332,991,861,
566,770,742,659,982,408,593,842,131,112,995,616,898,357,064,852,133,024,036,
409,495,326,544,843,726,105,672,575,115,498,456,862,477,268,696,032,497,209,
294,126,269,373,710,224,493,433,589,899,705,783,515,999,673,019,885,214,432,
882,099,947,943,162,649,252,213,355,414,721,102,975,664,097,564,831,472,587,
032,420,733,216,408,520,059,809,481,294,123,139,686,422,876,930,910,296,449,
960,118,167,711,898,076,269,415,261,674,294,921,392,951,818,571,073,417,359,
320,048,289,824,469,109,971,342,753,859,143,166,960,952,427,662,988,648,615,
305,847,570,025,322,652,249,763,769,691,622,099,577,050,758,738,845,081,529,
839,533,594,951,910,117,547,462,193,412,155,744,126,072,785,094,359,922,300,
073,333,688,886,968,088,104,870,868,803,292,360,808,282,140,016,574,032,664,
082,242,153,619,005,679,530,342,410,178,473,047,418,669,692,431,003,438,307,
712,884,755,321,341,156,197,715,485,152,206,518,186,250,459,759,428,486,115,
265,987,269,366,558,919,518,467,390,802,245,584,548,094,835,186,522,987,791,
954,491,253,422,199,068,647,749,217,386,385,655,513,838,395,571,403,654,539,
495,823,218,475,407,373,597,677,746,796,363,879,058,599,486,309,391,168,704,
557,112,758,499,522,055,402,284,666,552,452,488,754,630,743,747,433,745,444,
790,396,455,031,708,243,350,959,670,778,444,348,098,057,448,399,453,483,337,
495,071,455,692,352,759,337,981,347,071,525,610,829,824,603,193,530,560,330,
144,338,222,329,384,148,185,776,306,204,301,124,831,928,955,426,550,123,198,
925,112,842,193,230,761,198,198,878,433,358,135,354,390,515,420,166,154,226,
454,751,480,389,643,346,820,188,971,159,558,838,696,678,525,859,590,677,414,
369,403,766,848,979,239,225,438,661,015,649,425,228,121,818,405,449,768,276,
366,961,403,141,919,768,117,914,161,081,358,435,080,779,351,433,880,668,993,
323,417,974,863,815,994,922,378,005,729,905,339,656,509,326,660,107,756,413,
110,684,493,352,780,660,724,170,732,711,171,432,845,513,811,057,102,360,756,
238,328,705,279,059,937,874,325,050,129,899,012,848,860,005,353,651,709,934,
192,653,236,677,629,028,903,897,947,173,665,006,403,412,873,143,182,468,408,
087,440,614,429,167,763,179,621,248,504,090,541,844,247,071,402,957,785,943,
964,831,562,540,816,681,849,315,186,111,132,960,641,985,732,571,438,241,636,
417,466,944,456,104,849,008,816,444,686,612,008,435,294,972,658,654,430,468,
431,511,255,305,815,687,195,308,597,487,804,216,287,963,525,930,224,987,959,
523,695,534,763,697,823,615,520,151,903,745,654,334,918,973,011,691,943,012,
960,635,620,731,961,227,831,070,105,958,986,476,349,884,995,876,598,224,799,
145,000,802,741,133,847,637,188,045,778,297,973,580,015,761,572,853,631,596,
403,153,690,010,516,098,694,458,006,385,965,529,872,167,914,210,943,016,516,
678,777,890,266,472,803,806,930,612,134,783,465,904,976,191,527,106,119,314,
892,095,436,914,826,310,423,403,075,607,294,163,423,479,909,357,025,190,672,
816,900,640,519,646,173,159,695,850,302,528,658,596,491,145,858,547,396,933,
838,541,423,540,795,627,166,711,086,311,513,744,688,766,565,499,666,421,219,
545,557,183,493,656,886,979,823,802,125,221,142,559,050,357,870,923,664,219,
093,282,275,722,206,634,294,507,181,301,331,892,895,535,701,362,597,640,127,
362,847,614,255,647,968,316,014,269,613,523,058,225,201,009,261,641,298,300,
224,342,045,680,390,254,680,424,348,133,440,984,203,858,611,079,830,686,379,
409,755,198,735,707,570,527,520,763,067,604,133,445,324,755,217,408,906,371,
136,283,381,710,883,357,679,521,804,780,879,264,679,248,573,469,594,258,142,
938,246,592,479,363,897,811,275,766,358,072,908,449,885,964,899,613,788,316,
571,690,667,798,209,153,188,846,178,280,501,279,247,477,998,655,860,890,839,
600,524,615,244,968,206,697,078,137,401,522,780,725,312,518,329,422,346,519,
992,765,131,901,577,755,068,395,630,645,900,877,333,697,154,494,970,000,457,
512,655,071,174,424,812,649,415,289,696,571,298,402,069,115,033,112,651,247,
602,799,225,846,023,023,699,669,271,510,340,548,638,593,693,791,559,589,540,
885,738,174,964,278,252,879,895,230,425,023,834,856,568,034,360,123,365,934,
747,841,370,504,418,501,809,491,926,978,586,745,845,097,446,224,410,331,162,
580,768,982,308,792,330,885,297,896,264,488,207,392,105,432,439,742,510,892,
821,207,328,964,445,458,133,001,292,772,169,142,817,815,328,365,510,978,151,
205,048,390,931,919,246,376,693,226,862,453,167,858,117,702,811,210,635,353,
025,766,304,394,778,403,646,872,774,608,418,535,355,428,098,081,231,204,687,
175,265,980,576,345,505,364,783,110,453,847,610,479,441,169,236,864,998,130,
000,700,497,864,105,069,026,524,117,461,537,889,033,867,389,254,012,770,788,
082,900,573,516,477,034,116,422,501,236,817,276,133,859,940,685,257,558,919,
260,288,417,187,318,909,672,937,847,190,289,274,061,829,910,934,030,352,167,
210,099,269,731,982,374,421,916,701,185,515,737,069,484,801,727,668,848,378,
399,893,765,606,407,022,328,688,439,618,042,847,426,208,678,503,892,887,031,
183,872,904,882,514,008,508,769,932,190,026,551,022,498,962,458,151,952,291,
576,727,357,852,109,175,472,671,573,833,655,800,835,619,950,992,511,423,514,
995,207,094,110,048,130,310,119,799,481,317,505,009,692,659,260,922,122,785,
947,928,313,273,947,005,517,319,764,654,285,365,754,321,930,012,362,003,680,
799,452,564,313,804,096,625,493,182,209,768,991,383,400,375,837,268,752,324,
377,734,139,441,998,715,278,591,228,827,221,418,948,772,377,011,916,225,976,
228,399,202,156,082,175,162,048,241,147,792,182,329,816,672,338,990,188,947,
641,535,544,500,148,528,816,219,511,286,588,905,084,707,584,024,396,877,355,
892,870,086,509,943,394,523,517,008,695,938,886,831,446,087,103,594,779,041,
494,358,701,882,842,964,706,035,337,356,348,703,918,044,231,190,668,183,392,
014,848,557,530,278,108,652,349,361,206,554,889,027,468,095,962,314,511,630,
046,139,481,567,032,663,838,044,349,889,189,428,461,535,492,710,951,533,308,
432,667,551,617,174,443,115,594,734,961,033,631,489,703,946,646,095,987,844,
732,702,210,621,967,520,761,442,405,137,757,316,914,503,799,430,460,355,071,
052,313,063,093,581,302,539,532,054,067,444,663,031,463,711,680,543,144,618,
682,804,878,478,792,614,373,752,858,594,715,159,359,964,141,834,423,909,505,
011,970,038,601,263,439,987,158,114,873,986,181,757,916,782,720,753,515,709,
103,171,567,128,853,602,044,022,409,481,717,510,053,044,845,363,937,470,978,
771,063,561,018,920,785,720,509,571,084,616,679,825,033,569,891,630,086,422,
880,288,012,462,214,617,723,620,466,564,657,508,305,004,271,112,100,975,345,
165,386,287,588,993,427,082,776,130,474,364,940,661,152,432,350,770,155,080,
399,020,515,468,070,311,504,591,552,014,499,584,383,920,158,635,969,690,808,
440,175,168,327,116,022,248,573,148,127,780,266,362,256,418,632,981,032,349,
427,990,771,813,768,371,394,961,918,573,847,271,655,067,905,216,858,524,843,
643,756,737,969,658,269,943,237,675,723,501,534,105,760,140,195,294,989,224,
432,645,653,391,998,992,462,846,051,076,991,053,687,140,699,619,368,562,537,
162,247,447,546,355,883,522,941,293,484,339,531,671,951,275,690,603,123,732,
645,394,455,826,576,416,545,948,181,045,363,305,957,416,848,217,550,612,529,
441,127,741,335,653,831,153,863,493,249,967,581,200,976,931,832,707,895,045,
532,412,014,453,715,136,958,049,216,137,034,834,341,697,309,958,433,025,686,
400,427,963,805,869,972,015,704,868,643,213,090,124,267,447,185,242,239,022,
486,595,741,361,089,789,778,277,602,396,556,415,549,526,133,325,849,693,063,
418,539,442,252,601,091,564,379,022,723,134,470,273,690,302,631,508,088,242,
393,861,284,553,925,799,034,960,702,130,005,082,894,962,402,464,495,560,696,
398,130,766,339,650,795,278,007,221,976,897,369,090,946,500,925,793,535,764,
446,938,362,202,372,096,264,161,112,350,682,408,851,196,663,392,023,927,812,
982,557,482,487,369,545,922,706,381,057,251,663,222,052,830,146,934,024,311,
839,263,788,764,559,391,907,608,127,503,572,704,055,755,905,266,341,025,632,
237,910,803,877,390,078,466,450,367,475,217,439,114,444,301,960,674,717,864,
702,449,092,330,138,980,946,641,293,172,461,052,735,174,222,251,364,534,451,
886,207,601,343,863,077,159,490,521,262,530,106,435,488,833,664,346,808,984,
857,341,485,507,329,596,191,096,412,419,847,993,093,139,326,761,578,129,419,
296,148,740,326,365,840,628,572,572,843,383,909,931,047,042,326,503,687,949,
214,492,964,978,795,635,842,128,471,724,624,039,600,718,396,506,282,196,244,
621,309,675,669,713,645,887,977,194,622,334,714,325,512,074,684,104,937,138,
852,053,351,743,484,110,153,357,309,593,746,972,218,613,410,633,003,180,827,
638,141,466,447,869,066,703,232,850,496,807,547,064,598,800,491,568,161,906,
800,761,385,321,155,504,915,790,723,362,136,873,479,614,951,058,033,930,754,
850,113,061,765,721,760,842,441,994,878,969,529,479,438,047,560,095,426,779,
113,675,571,042,628,842,927,048,319,538,745,061,045,607,826,072,259,796,009,
053,744,086,472,943,871,356,231,840,505,659,370,597,846,511,348,836,604,297,
351,509,860,284,054,874,123,757,717,959,061,079,351,550,085,172,928,111,074,
583,681,282,661,435,064,025,700,414,869,966,985,733,312,404,470,518,562,928,
436,724,668,076,243,679,264,834,942,551,796,418,677,777,289,317,453,065,064,
316,719,055,677,966,272,407,838,902,581,341,330,952,065,645,452,229,742,521,
821,787,979,783,699,706,146,206,465,925,405,531,597,646,548,062,765,448,036,
795,468,371,700,885,287,677,795,219,683,112,345,983,088,283,848,504,886,821,
238,089,935,417,276,578,186,897,492,036,202,730,555,565,836,179,622,253,433,
566,040,064,283,092,211,491,028,025,392,358,746,677,763,256,181,272,126,387,
664,480,397,017,359,433,498,197,876,699,318,577,925,438,713,560,605,607,727,
211,468,458,496,113,468,464,155,221,046,701,994,004,293,515,238,001,695,849,
231,657,074,942,463,604,646,188,192,365,405,194,741,436,495,366,776,743,677,
009,204,005,702,015,031,553,803,375,508,092,853,608,341,841,229,461,102,312,
095,494,981,311,320,094,824,035,292,036,339,613,492,433,528,180,019,099,101,
055,901,487,559,347,983,530,334,892,366,095,716,073,250,396,405,271,981,972,
809,680,881,721,545,416,754,138,191,287,083,322,050,617,038,010,958,124,749,
351,631,463,778,576,246,662,080,873,886,241,195,867,306,135,638,631,858,085,
974,606,805,540,720,009,187,839,370,915,499,206,238,123,072,044,397,157,112,
465,692,048,058,229,563,481,720,403,933,751,063,148,467,454,574,275,966,698,
662,723,031,228,109,918,937,385,685,728,307,909,744,406,191,338,558,670,180,
075,840,794,093,182,256,682,899,543,739,049,839,957,121,011,222,481,846,787,
078,522,363,409,284,838,721,931,506,427,719,663,556,066,576,885,996,729,898,
454,267,752,570,782,401,368,945,083,023,331,354,945,661,735,401,949,403,207,
962,079,966,346,158,997,105,868,990,430,510,893,634,765,731,718,400,125,592,
399,633,884,395,084,488,864,221,938,044,683,842,608,245,215,486,128,102,672,
827,779,440,894,544,507,203,395,958,490,053,236,808,067,097,872,619,940,715,
811,457,315,293,685,780,935,942,797,617,486,595,730,562,254,519,546,053,332,
052,092,993,358,353,314,605,116,694,718,116,412,798,885,620,911,019,073,525,
682,325,351,248,057,883,497,174,627,624,776,207,315,075,140,773,389,360,800,
376,958,456,947,586,554,192,475,350,340,732,830,176,245,079,079,148,221,047,
680,890,906,099,049,571,860,332,026,650,222,363,282,240,608,353,659,098,365,
432,705,129,943,411,102,325,350,484,093,973,763,391,483,459,203,597,593,693,
363,233,961,036,610,855,559,580,847,409,708,859,580,656,032,635,888,594,884,
225,581,080,987,452,948,234,723,722,815,983,085,406,344,888,435,648,296,581,
731,124,940,904,392,756,568,261,988,998,743,034,211,821,056,225,696,987,279,
871,460,126,475,053,633,054,637,977,513,187,034,030,781,764,762,448,698,372,
207,008,698,669,271,617,272,923,294,666,251,060,717,600,542,333,113,609,660,
975,461,312,962,296,197,095,190,418,865,612,795,884,259,977,778,619,047,232,
977,094,954,952,167,336,786,513,380,460,454,838,691,248,122,524,020,609,436,
092,056,412,228,008,627,071,313,844,148,237,842,941,388,573,822,083,645,735,
610,598,587,146,529,967,632,919,491,029,401,780,842,894,108,690,127,000,026,
214,612,341,694,686,458,537,878,767,343,094,869,216,896,517,649,106,536,385,
756,565,959,603,005,999,726,134,184,575,254,643,737,053,476,066,484,511,375,
706,336,575,842,117,484,101,929,227,800,602,580,318,117,470,731,180,775,183,
389,887,380,075,201,565,233,062,498,112,753,811,980,894,746,978,395,441,349,
441,619,117,630,357,212,171,261,210,282,003,720,235,736,745,770,224,511,649,
183,765,745,529,864,552,479,470,733,454,003,342,027,405,316,597,744,088,524,
112,538,585,721,828,325,790,914,112,955,456,407,563,954,778,954,722,607,013,
017,920,274,811,078,821,994,954,845,042,875,282,025,360,518,230,691,115,415,
645,602,782,768,370,191,956,764,522,889,144,910,635,367,245,574,268,155,486,
898,653,244,737,808,489,060,955,126,067,938,380,852,526,395,541,026,766,601,
294,188,313,392,974,568,354,741,959,560,451,794,560,648,276,273,073,746,360,
929,116,510,595,662,885,355,410,797,498,010,912,113,880,461,134,715,833,572,
981,978,064,765,924,383,921,856,155,141,797,746,757,511,873,545,978,899,467,
612,188,267,032,725,539,235,706,734,993,800,560,551,121,319,355,347,147,512,
082,006,765,403,133,042,956,379,020,129,574,528,358,355,439,143,089,327,519,
711,745,714,191,427,778,079,810,141,667,156,955,011,566,042,202,900,347,731,
123,625,326,553,040,876,439,289,151,178,690,469,358,403,929,008,306,143,026,
905,789,892,566,198,965,273,179,246,503,694,707,918,999,802,629,689,128,416,
316,107,809,952,007,114,471,799,574,444,600,149,806,241,659,902,829,723,056,
286,868,551,820,238,410,592,764,448,644,633,963,084,213,209,257,558,332,518,
607,298,562,336,956,229,652,295,705,456,330,982,670,510,903,118,779,176,323,
365,894,216,924,367,618,281,618,906,029,333,929,417,091,870,556,058,111,017,
848,766,204,522,454,662,215,833,809,333,073,190,448,540,241,551,785,504,772,
484,800,555,118,884,664,720,169,708,749,927,698,072,829,445,603,711,252,712,
531,978,246,891,793,532,708,981,230,215,203,039,217,344,726,074,934,195,412,
813,381,298,555,857,772,863,418,858,684,394,273,420,380,154,759,305,126,389,
761,762,093,730,585,114,654,837,127,937,408,163,421,687,959,298,011,577,615,
932,691,753,111,109,395,552,407,770,819,525,650,164,047,458,697,225,583,523,
597,846,132,022,827,043,928,687,744,084,764,945,204,701,263,727,996,123,441,
566,574,088,913,958,791,977,967,265,713,361,033,623,492,077,022,766,763,425,
470,469,360,520,482,985,789,465,443,343,475,473,503,384,045,455,820,089,277,
788,062,261,731,929,342,573,779,092,963,673,281,877,325,710,559,602,064,710,
966,684,864,108,698,973,891,465,785,257,021,359,927,486,931,002,346,007,587,
482,795,172,499,975,875,495,747,953,547,729,696,205,262,860,018,941,519,492,
466,799,964,488,264,843,835,772,255,517,149,905,140,224,526,275,720,114,454,
058,274,372,657,670,828,316,234,836,110,613,109,823,268,592,185,802,424,344,
923,790,669,975,392,611,468,616,195,218,911,820,624,758,583,683,103,481,770,
561,084,441,270,399,185,757,609,653,885,628,130,620,570,059,308,358,964,132,
883,849,156,442,910,293,409,265,288,207,540,163,457,014,004,485,096,345,424,
604,871,006,025,403,217,290,060,124,123,916,770,069,243,816,895,553,899,093,
547,518,865,834,860,758,618,525,236,528,669,108,192,335,112,915,515,570,149,
410,243,050,198,731,517,636,495,391,004,832,749,317,899,696,337,397,780,974,
008,931,889,802,118,888,835,023,976,692,516,726,257,629,275,600,045,921,259,
643,194,174,164,895,218,309,062,989,688,106,664,262,240,746,377,683,629,405,
217,803,747,947,338,175,278,454,128,441,700,959,556,615,838,205,577,128,150,
108,081,561,277,324,705,240,884,878,124,260,875,170,159,414,446,531,724,279,
031,481,357,436,315,508,623,762,003,609,934,212,520,610,235,178,121,127,970,
849,524,421,826,829,344,050,097,131,917,953,574,812,194,506,050,855,974,335,
412,640,424,241,773,405,269,528,570,014,934,244,044,174,160,173,752,864,916,
611,620,307,871,802,402,503,549,273,321,839,915,070,613,620,764,992,538,400,
263,018,638,976,958,812,467,108,091,754,517,287,526,987,127,897,399,016,802,
421,009,276,068,084,804,182,933,910,157,057,905,175,771,356,584,128,346,565,
526,981,564,801,147,753,458,045,064,078,783,322,335,226,796,181,522,312,339,
249,716,819,676,676,400,298,096,804,441,685,568,709,101,219,088,307,918,447,
896,030,674,039,324,886,052,813,291,203,956,599,153,366,145,995,272,336,163,
171,063,749,092,793,553,414,666,699,229,194,243,072,424,579,398,996,843,237,
858,169,054,752,732,527,498,675,674,754,192,581,149,385,796,399,565,531,857,
751,168,192,431,917,037,428,964,496,131,157,914,124,775,651,801,682,673,109,
983,908,408,403,686,113,944,751,965,889,035,128,761,688,347,225,742,640,285,
261,552,838,529,683,418,013,902,113,952,986,841,122,721,686,925,847,647,763,
879,747,938,712,803,230,826,765,118,510,752,881,564,097,726,787,481,037,722,
396,969,309,203,458,677,035,363,832,715,686,385,222,053,032,949,502,279,160,
500,174,615,044,820,694,393,707,015,266,965,541,944,477,269,686,706,226,994,
507,017,988,586,313,760,965,854,114,537,814,941,119,229,368,065,296,374,072,
762,405,287,685,890,394,877,905,630,447,540,721,170,240,557,995,239,305,848,
775,849,252,544,990,134,583,023,256,591,180,099,680,438,876,628,914,905,766,
163,465,393,468,028,687,127,288,610,200,707,002,008,195,773,272,701,536,721,
087,304,919,880,984,531,879,466,010,021,604,319,572,285,654,287,126,309,502,
767,348,470,397,333,934,038,746,926,796,327,092,271,248,843,635,636,468,867,
686,338,633,122,719,214,867,365,678,952,409,734,534,713,104,868,500,685,964,
531,089,236,631,749,773,157,631,544,031,420,805,663,225,613,923,082,752,617,
745,593,064,864,070,424,758,462,202,303,924,560,643,832,908,931,223,822,009,
188,849,148,491,113,727,383,684,322,878,729,393,124,489,258,289,962,773,560,
230,092,740,085,583,393,595,619,859,856,761,716,971,678,990,076,271,168,249,
916,533,590,958,388,867,095,317,266,646,999,427,059,289,419,760,816,378,612,
835,544,350,711,337,163,113,637,011,823,432,093,163,174,711,516,458,996,036,
685,543,596,790,054,338,958,654,659,491,732,750,540,804,804,542,585,295,430,
848,540,969,693,337,620,547,687,126,275,845,885,618,055,069,421,655,180,405,
242,510,368,603,341,221,417,465,379,673,552,815,194,664,446,032,569,162,564,
612,847,310,951,103,857,631,489,455,523,179,965,578,179,315,877,209,495,251,
518,358,189,558,585,921,839,378,756,887,152,490,988,166,863,526,368,657,749,
243,100,705,419,841,221,836,958,594,648,259,512,862,590,138,328,385,056,595,
762,805,213,607,637,533,707,061,165,771,300,011,365,370,546,506,848,282,099,
515,536,182,743,554,628,443,285,761,877,167,916,692,961,526,946,191,793,711,
742,134,726,144,282,798,264,513,998,483,198,343,295,734,355,843,858,255,606,
572,389,263,608,642,552,591,861,335,133,151,350,450,018,962,513,139,113,622,
980,131,741,225,671,730,347,879,549,852,700,594,837,783,503,165,260,012,725,
370,126,305,590,012,208,647,737,982,242,070,524,521,019,715,769,377,102,861,
884,350,264,573,442,532,552,833,111,628,645,022,155,202,486,205,991,000,564,
003,064,784,574,386,920,855,314,386,575,845,150,028,422,238,902,185,294,033,
043,901,913,090,377,131,909,646,638,902,363,726,633,263,818,564,380,357,088,
164,862,952,198,804,702,227,271,479,017,679,070,962,717,193,397,989,222,101,
436,202,977,088,578,693,629,768,186,577,627,818,689,391,510,669,867,923,272,
390,094,950,929,963,941,739,784,338,384,854,876,900,324,439,879,339,304,960,
842,553,972,860,496,741,867,499,987,594,931,674,778,722,570,259,729,601,364,
677,430,122,918,848,629,792,783,310,865,285,047,864,029,406,371,761,908,093,
555,220,890,459,492,743,372,001,271,630,639,976,521,572,172,783,634,881,903,
135,357,267,698,779,303,606,199,565,111,173,294,239,792,533,009,863,597,606,
456,963,792,066,388,345,613,771,922,320,784,290,531,026,341,274,484,942,632,
993,314,097,836,640,159,609,394,294,316,866,097,870,280,577,369,898,931,052,
812,420,334,752,660,539,382,176,029,508,392,009,039,381,128,433,694,558,141,
819,154,246,387,314,149,420,984,227,261,774,079,296,577,660,381,754,037,828,
484,127,658,198,386,306,090,589,606,109,676,535,366,011,356,510,046,252,403,
633,839,194,294,598,089,256,748,965,526,754,861,693,480,979,510,224,035,731,
583,276,267,471,707,925,723,156,158,988,188,236,624,299,876,679,139,764,193,
915,593,557,932,677,513,250,552,813,934,939,679,511,576,548,881,450,345,256,
057,693,907,036,883,633,585,121,979,411,821,075,426,957,651,847,739,104,196,
418,731,578,766,115,227,116,822,881,010,799,643,904,859,808,772,941,354,576,
915,116,362,811,409,185,168,268,565,631,212,858,434,290,366,965,004,182,477,
315,714,625,496,278,847,355,635,333,113,613,591,272,647,438,356,842,651,320,
349,868,843,491,714,039,995,265,769,191,448,848,943,121,553,320,725,016,004,
718,119,016,100,537,443,523,434,804,268,474,163,992,793,713,935,565,927,005,
114,542,542,166,612,938,991,722,700,822,819,424,909,154,743,260,951,600,500,
080,121,043,971,526,307,551,726,670,814,135,438,520,640,378,536,492,589,497,
094,638,189,523,705,762,097,717,554,769,620,206,444,453,243,009,020,022,200,
741,708,683,610,106,404,038,378,687,049,786,602,803,740,247,859,427,653,601,
250,651,631,972,550,136,638,484,754,680,190,284,794,792,965,219,124,559,901,
600,320,411,187,883,391,178,886,742,134,577,032,577,961,447,945,718,687,011,
113,010,283,455,490,407,544,643,928,600,630,210,121,645,185,861,229,587,929,
948,532,797,089,773,445,616,183,631,001,155,160,951,142,801,399,895,042,425,
097,610,030,285,857,627,699,628,522,855,635,305,002,144,078,221,570,574,465,
698,230,320,077,611,942,165,358,854,660,328,982,251,431,999,704,029,896,451,
678,264,415,001,888,416,344,447,169,061,677,062,853,558,284,551,261,963,448,
140,023,007,080,120,491,954,888,467,873,422,893,294,072,244,191,328,119,590,
903,509,390,359,614,781,824,763,262,579,626,204,091,383,166,033,251,818,838,
392,349,126,179,720,186,153,034,705,033,719,879,492,669,773,903,637,627,894,
647,139,724,095,741,901,870,202,903,936,290,062,990,257,077,440,452,342,563,
580,681,656,551,367,838,899,254,799,630,590,569,797,167,191,041,565,793,510,
714,629,107,885,293,801,322,642,751,993,316,180,262,534,648,101,234,294,801,
247,421,346,238,128,032,388,751,009,409,398,057,927,480,294,878,289,167,329,
798,030,236,877,431,425,500,468,417,832,773,542,357,492,143,388,141,066,261,
300,113,327,153,291,634,495,025,868,188,134,409,757,101,100,319,785,752,331,
766,905,769,067,932,825,611,410,577,836,207,890,715,764,298,919,982,292,120,
978,829,647,791,105,567,338,611,772,604,484,272,116,877,809,251,988,094,607,
076,375,312,026,724,304,485,480,790,194,214,362,411,002,665,726,903,621,093,
626,559,630,024,048,540,833,861,266,705,202,247,224,897,732,385,969,719,988,
151,114,260,309,031,556,815,223,020,040,511,382,623,041,750,449,007,311,403,
451,298,520,561,083,588,237,938,434,113,440,881,584,362,256,167,698,134,643,
220,029,974,400,365,150,047,173,196,616,846,787,894,561,049,763,411,979,596,
195,509,059,178,084,768,494,463,614,346,462,796,258,030,596,804,787,481,118,
729,166,966,609,333,813,421,490,062,254,544,899,206,610,881,016,532,980,718,
286,022,986,794,836,994,017,728,116,887,201,969,933,166,622,714,768,781,163,
116,612,232,729,507,570,693,036,444,209,747,103,620,466,912,964,952,472,860,
514,385,764,295,203,682,241,118,272,273,768,652,964,040,264,862,391,129,427,
763,333,182,688,120,950,472,827,900,002,056,804,981,605,848,311,530,122,752,
967,202,608,956,004,630,261,060,326,664,240,517,646,956,319,620,991,839,710,
873,022,935,087,835,277,877,654,126,669,581,162,077,751,018,825,561,006,496,
812,918,593,574,452,588,441,766,454,202,626,970,015,181,042,631,770,648,427,
796,850,434,287,206,493,497,481,466,877,783,326,910,056,528,101,427,170,481,
692,714,486,558,110,554,321,682,443,670,332,591,506,475,962,437,930,470,866,
807,993,308,674,323,143,797,081,517,883,836,010,210,785,315,725,782,729,579,
285,213,366,240,601,512,137,881,312,943,905,933,217,743,576,423,717,154,419,
526,816,629,498,817,256,724,404,698,571,995,256,273,442,229,953,944,109,219,
244,997,552,662,763,991,479,598,331,235,764,245,726,257,590,537,670,102,403,
650,599,451,203,338,374,235,690,249,281,264,120,624,246,887,531,688,551,837,
964,933,361,231,630,017,002,181,127,430,859,872,707,785,087,631,766,643,843,
183,070,171,366,787,652,083,501,230,575,177,147,989,832,044,797,909,565,892,
433,115,588,490,749,294,073,548,505,275,172,645,000,505,757,683,889,480,814,
096,711,243,243,749,714,474,987,624,427,786,708,361,872,231,368,043,989,347,
147,346,506,130,478,319,032,053,170,022,672,478,713,690,833,210,194,130,939,
201,287,945,229,022,747,972,925,974,418,234,365,425,656,719,270,392,362,868,
100,009,389,524,495,157,654,326,784,966,052,709,973,601,565,330,410,574,612,
505,955,025,236,917,145,634,333,148,767,014,973,572,436,147,355,336,639,858,
825,820,058,210,246,349,444,463,199,822,962,600,231,151,596,932,022,136,776,
777,134,243,809,676,497,727,201,070,671,236,650,801,763,708,357,449,492,032,
034,771,873,004,015,175,012,564,689,079,388,560,515,529,963,813,493,679,409,
730,734,924,683,021,297,333,285,727,462,034,200,527,241,643,756,766,616,530,
271,796,152,216,858,086,601,299,927,232,081,917,316,305,567,477,977,845,715,
325,378,247,274,534,577,255,571,558,774,145,007,138,444,101,849,908,457,631,
314,113,657,580,367,637,627,813,777,454,308,637,059,528,386,298,897,028,458,
766,217,669,429,194,968,318,053,702,391,772,566,338,967,644,469,871,498,629,
298,441,127,329,151,933,847,695,219,210,528,990,104,450,766,392,591,253,985,
620,978,100,843,244,710,053,941,482,886,627,441,132,200,875,910,385,106,136,
818,073,550,893,652,347,612,457,702,586,093,731,267,450,937,085,730,692,571,
330,760,533,582,656,927,557,754,561,653,891,468,018,769,956,384,531,052,016,
899,366,586,960,189,159,653,259,543,876,808,662,287,133,571,309,675,074,817,
733,232,580,264,647,068,433,724,595,781,147,712,879,297,276,753,810,481,985,
380,073,192,328,230,259,672,604,197,884,903,310,219,634,950,852,169,835,014,
797,226,937,854,306,799,907,314,219,047,910,427,535,625,418,076,515,577,286,
434,005,630,517,925,863,148,034,871,310,715,551,416,011,650,099,253,145,916,
565,315,623,074,640,168,519,910,507,270,910,774,790,212,731,018,942,847,827,
988,688,721,245,003,185,173,998,594,692,878,232,055,325,040,946,761,951,363,
785,198,688,592,668,971,835,818,402,669,713,615,523,522,920,853,954,606,097,
762,204,426,794,033,144,246,986,294,676,828,508,407,076,935,750,548,073,526,
192,819,854,110,244,620,629,845,325,560,659,184,812,515,469,634,224,387,528,
072,719,924,507,797,828,840,797,387,461,387,330,575,725,920,559,300,658,710,
046,494,271,964,082,239,041,314,451,207,223,821,153,742,613,100,474,791,407,
119,476,092,756,713,694,167,768,642,431,946,353,385,972,627,428,615,676,953,
132,664,453,663,475,093,680,167,601,451,610,167,992,401,498,443,079,927,008,
228,958,041,728,777,160,888,865,866,864,020,015,894,867,000,134,976,820,958,
716,049,758,841,667,249,512,599,360,921,401,587,715,912,489,269,760,319,886,
183,949,560,280,675,070,741,590,115,845,986,232,086,368,846,901,749,272,210,
734,665,412,452,240,040,926,255,183,459,984,103,468,032,866,949,086,316,400,
343,559,013,087,379,053,189,410,674,862,015,169,969,071,454,335,148,582,367,
238,778,465,117,408,898,902,855,593,480,893,727,834,403,772,025,422,210,945,
448,417,817,800,884,899,875,694,026,815,420,138,661,401,338,358,695,812,942,
185,806,602,983,336,755,333,326,581,010,056,510,688,904,924,783,570,719,020,
225,482,278,595,801,975,963,126,989,613,222,848,531,088,841,772,752,403,790,
259,136,799,126,033,695,053,359,468,053,657,008,028,931,630,780,422,871,194,
079,942,028,921,531,922,108,217,637,812,955,857,228,931,300,266,885,500,665,
782,732,247,503,143,301,990,520,318,228,483,452,513,401,262,262,499,457,756,
107,935,550,788,818,023,105,818,859,904,707,990,062,995,124,748,556,614,748,
317,521,240,364,071,816,780,823,883,265,023,214,520,266,773,303,045,664,773,
536,072,346,708,013,830,317,773,580,724,083,035,670,130,595,430,478,679,718,
205,180,109,883,595,552,265,339,198,491,459,865,187,254,646,480,994,401,241,
221,850,996,614,821,269,343,391,688,036,182,224,542,247,718,719,127,796,609,
342,143,384,796,310,682,031,630,463,881,919,242,834,633,846,613,199,747,816,
539,120,303,842,996,752,284,995,795,364,531,336,255,118,696,062,648,979,817,
909,025,273,974,912,483,299,161,007,126,795,502,197,291,276,143,446,072,656,
874,079,549,645,396,647,845,745,169,707,157,137,256,393,026,486,151,692,811,
339,723,548,441,182,199,500,317,050,436,315,717,093,957,807,023,691,252,186,
548,662,948,349,092,847,385,476,544,831,940,993,913,057,706,372,386,487,564,
064,654,729,177,619,038,095,794,657,819,453,393,162,034,432,745,230,209,789,
487,233,015,049,225,087,056,232,558,997,245,806,747,529,423,913,038,128,867,
497,956,746,259,816,292,654,190,148,911,250,184,977,318,446,627,869,565,171,
383,212,436,993,908,778,187,761,692,083,932,863,097,583,004,232,247,990,012,
686,716,240,641,994,174,828,762,601,472,721,642,436,367,409,890,483,916,920,
392,192,696,816,008,281,585,848,656,411,261,058,536,938,043,322,410,617,887,
655,492,887,383,795,358,806,849,575,725,929,195,319,838,770,433,264,621,910,
462,457,944,522,370,528,165,638,324,362,550,146,326,940,079,412,723,568,176,
484,075,683,992,656,862,824,725,138,901,595,793,366,135,552,856,642,293,524,
677,591,162,581,311,991,640,181,095,062,904,848,951,558,833,740,438,937,967,
338,568,910,262,617,095,864,218,186,525,686,508,954,051,572,572,515,645,073,
264,485,325,785,647,216,468,906,516,856,073,476,378,061,240,728,403,926,306,
934,718,421,841,230,674,056,032,138,217,773,720,988,547,181,366,612,200,507,
003,004,278,922,701,770,118,305,670,841,728,535,042,103,101,600,920,199,817,
356,929,324,104,141,791,680,235,537,913,797,378,624,677,094,669,160,869,965,
889,209,994,229,720,279,549,042,313,946,383,661,124,291,592,126,266,264,917,
616,209,822,312,482,504,975,828,196,081,919,903,109,315,035,371,214,666,410,
906,142,864,535,058,217,927,963,108,501,314,352,768,074,258,165,395,512,887,
294,968,448,779,051,109,292,739,090,190,946,827,747,218,193,101,482,318,705,
807,859,278,938,739,389,464,651,808,759,672,116,160,164,655,245,936,215,090,
175,854,666,603,573,492,013,473,942,600,507,509,698,789,314,327,992,899,090,
024,776,610,475,566,156,263,349,661,441,540,068,290,264,854,713,727,364,396,
627,382,771,855,411,242,111,887,971,386,083,677,834,957,879,656,951,491,838,
266,818,710,887,079,077,504,750,284,483,088,831,582,062,010,078,632,685,057,
160,768,680,602,280,513,594,810,133,339,841,164,491,267,693,494,331,463,650,
663,383,297,242,855,330,226,926,451,022,355,250,231,270,202,574,912,372,493,
021,681,274,593,036,574,238,007,176,268,280,150,182,016,873,909,011,411,006,
926,686,145,489,961,470,915,465,348,090,467,684,218,454,108,400,637,071,778,
311,688,093,773,268,417,842,931,453,197,392,422,351,728,923,104,906,362,827,
106,475,497,897,169,681,699,965,760,483,509,752,824,277,557,097,949,491,623,
301,141,610,029,288,026,875,421,846,128,360,988,879,954,217,396,115,281,077,
335,037,074,462,984,117,442,964,266,301,513,531,940,420,795,771,480,088,175,
877,503,639,845,355,050,320,181,059,542,982,889,757,047,816,106,992,967,000,
879,904,119,104,521,740,842,519,979,364,138,106,887,846,211,032,669,476,492,
631,850,525,671,691,619,786,253,059,129,943,719,027,369,479,203,281,365,589,
960,170,103,606,117,068,513,816,472,394,770,415,240,825,041,011,998,376,855,
848,973,290,956,956,907,044,151,571,579,653,352,575,416,866,741,328,474,455,
083,261,926,599,486,304,454,077,000,082,406,430,356,015,756,774,395,002,591,
911,169,171,907,632,253,564,168,300,857,971,454,629,963,809,531,050,569,513,
365,425,159,234,708,126,034,074,574,841,397,462,111,506,928,457,211,090,905,
357,131,297,949,638,566,922,178,375,053,054,060,762,876,944,001,955,982,933,
530,145,184,248,079,847,917,998,323,024,258,682,803,713,238,539,878,592,701,
279,884,281,639,174,219,750,116,913,062,369,502,527,399,678,554,102,932,019,
640,295,368,887,246,163,281,284,134,567,807,163,630,239,144,900,748,383,373,
301,322,971,976,439,217,009,509,453,422,924,805,518,446,569,076,669,893,812,
415,363,221,858,267,941,376,028,155,993,774,250,109,467,810,148,095,138,573,
957,293,520,686,741,544,911,628,423,771,833,901,831,008,614,849,043,893,049,
597,743,367,709,548,102,790,768,281,937,434,315,744,315,878,426,148,497,336,
405,793,053,594,982,714,651,477,037,645,561,217,483,838,143,762,296,846,266,
493,320,853,565,406,233,837,814,966,274,687,010,780,697,418,417,467,443,178,
821,197,122,123,431,061,923,991,676,048,800,528,750,500,977,475,767,097,572,
387,585,681,528,681,414,834,227,093,183,578,431,016,615,573,395,577,424,180,
817,997,329,487,892,758,250,632,646,171,230,646,491,408,940,298,769,003,901,
387,471,279,765,320,169,469,147,697,358,028,078,018,065,035,738,878,693,132,
216,364,313,914,564,070,226,829,292,915,242,467,000,223,711,552,881,130,166,
280,793,519,772,672,893,737,653,560,052,601,299,993,462,159,535,753,524,044,
491,410,990,101,174,357,543,606,009,116,060,068,424,694,602,912,027,519,182,
201,394,218,308,465,211,585,192,724,441,848,777,997,835,354,892,911,963,838,
277,915,175,023,161,049,081,321,278,672,759,952,974,329,011,261,153,431,215,
471,912,749,107,802,482,602,331,315,112,082,590,192,726,771,695,509,665,530,
235,333,230,330,828,130,368,622,394,753,503,881,454,180,990,074,614,774,447,
509,311,002,491,292,042,378,874,550,890,531,209,111,108,743,239,497,428,687,
004,705,489,229,568,346,678,254,448,006,996,188,979,799,912,867,080,066,744,
480,282,534,069,551,376,327,424,443,626,098,773,058,224,436,036,144,295,728,
279,938,160,404,213,174,213,341,057,024,440,513,483,115,104,296,082,200,642,
961,878,311,617,586,924,154,686,052,745,961,091,317,732,716,286,157,432,316,
241,138,230,997,921,967,642,142,304,243,541,445,178,519,959,518,024,520,213,
237,373,285,149,077,311,751,914,097,882,561,643,851,161,530,556,844,272,398,
150,142,829,893,653,296,483,235,725,244,004,516,385,218,363,918,041,750,376,
086,141,346,559,732,453,934,832,494,824,916,380,223,600,163,439,563,238,688,
517,386,841,530,313,696,417,667,511,760,105,971,560,437,742,148,883,873,741,
243,925,542,691,444,031,022,729,526,173,740,252,460,510,310,415,916,920,739,
517,276,685,064,856,711,312,862,612,537,568,912,220,067,345,963,055,163,602,
539,708,029,924,045,906,510,903,187,579,818,389,614,055,630,218,346,149,657,
070,380,070,640,002,500,011,039,649,159,410,176,243,413,825,477,971,768,090,
096,874,459,813,800,972,585,671,812,713,033,097,491,993,494,085,985,035,809,
332,928,400,539,726,247,020,492,762,248,650,829,229,542,162,706,562,395,030,
591,234,468,706,597,950,030,920,664,994,756,797,980,042,480,259,963,874,045,
725,990,657,789,344,909,144,046,861,005,817,437,798,368,109,082,438,502,492,
868,024,339,768,962,386,769,747,799,550,643,335,281,618,534,969,335,974,243,
858,453,152,252,720,234,317,016,519,035,432,002,028,212,376,075,893,960,635,
123,003,682,696,340,069,753,820,482,163,008,684,177,153,823,884,102,826,544,
572,171,454,227,315,782,475,344,681,776,920,011,188,169,115,793,402,372,108,
629,237,468,576,744,205,311,021,801,783,899,949,477,035,562,203,729,401,463,
537,956,257,817,336,733,675,482,140,368,028,781,614,114,389,776,200,062,567,
921,258,863,165,588,935,577,889,304,980,694,118,275,158,148,506,774,884,209,
140,691,779,540,483,733,186,836,306,240,646,878,010,138,087,852,666,065,562,
029,975,253,716,785,683,761,311,857,727,930,291,761,079,685,273,372,182,006,
145,897,012,890,418,886,450,595,114,841,091,490,640,857,341,146,557,800,920,
757,609,026,395,090,114,523,618,652,399,202,202,558,931,456,633,588,271,039,
175,780,132,538,902,947,998,974,217,862,845,674,117,043,899,385,488,190,475,
746,838,989,251,886,980,401,679,299,700,787,558,726,603,028,524,856,869,868,
277,566,674,529,154,678,097,089,134,433,415,900,614,857,797,887,671,679,823,
058,110,975,542,948,089,574,807,196,556,408,685,601,308,599,223,001,214,235,
028,826,816,823,052,313,342,243,943,417,425,968,989,531,865,262,845,237,423,
906,689,338,663,920,697,268,153,627,369,469,659,195,449,764,882,202,494,144,
785,583,832,524,742,353,393,422,010,242,739,164,500,347,171,700,378,831,160,
812,274,758,893,498,857,480,807,936,498,352,191,210,044,354,120,882,403,030,
228,654,240,098,914,951,639,476,758,506,235,620,198,289,804,930,179,522,430,
057,867,987,264,988,329,895,301,844,021,710,055,096,358,274,254,362,245,878,
679,141,342,358,604,088,636,951,802,134,628,210,445,222,705,760,637,931,607,
661,271,160,630,764,329,963,887,688,331,565,874,876,088,669,277,840,013,484,
768,240,027,687,377,823,255,059,295,032,048,106,808,517,524,924,582,598,826,
263,206,554,947,242,124,378,461,099,005,584,329,709,396,290,384,551,278,837,
281,427,778,835,851,557,125,456,552,758,222,273,128,514,607,526,864,777,384,
118,572,081,181,304,849,926,709,123,840,412,447,958,566,443,870,967,614,961,
606,580,368,596,026,425,195,928,230,322,658,104,647,505,101,383,495,147,822,
621,280,218,112,858,758,963,053,077,341,162,523,576,755,226,331,524,589,951,
458,298,984,322,382,048,550,423,158,991,550,120,623,317,772,099,458,766,203,
856,398,980,346,353,894,400,539,225,961,926,428,875,990,300,267,267,914,007,
706,612,527,761,656,741,782,791,415,569,609,797,414,805,080,614,362,836,461,
473,725,374,654,199,426,584,623,183,330,881,217,869,306,764,035,961,437,987,
403,619,073,684,690,331,167,038,589,131,850,721,261,048,702,012,303,416,829,
851,544,154,896,530,617,807,541,603,414,413,438,915,944,727,399,072,980,132,
329,600,913,190,488,047,972,818,012,908,577,666,850,023,264,064,897,865,105,
949,765,132,690,035,310,109,089,489,578,527,075,967,539,240,181,194,115,467,
273,891,910,166,204,726,212,921,742,951,179,855,067,769,040,945,211,586,336,
138,717,854,898,056,565,858,480,075,408,983,757,147,391,074,951,632,116,448,
946,233,289,006,737,441,789,732,315,533,198,848,018,746,432,541,424,374,810,
033,654,131,630,849,963,997,447,479,532,418,248,134,154,728,927,740,507,152,
591,031,863,217,532,731,603,607,239,508,491,272,860,359,812,133,733,570,655,
195,941,232,042,061,984,636,374,439,783,977,973,221,686,176,707,257,039,430,
246,106,431,719,249,998,886,271,231,494,432,518,963,603,316,730,738,670,042,
807,223,383,212,124,586,989,604,074,331,341,165,282,502,619,197,013,264,970,
486,382,519,010,550,956,762,559,881,679,580,951,832,917,345,415,998,208,511,
269,936,216,313,608,074,089,124,290,808,745,213,159,768,667,111,115,895,486,
083,148,780,143,775,527,107,711,308,057,575,556,172,268,677,104,116,263,554,
489,124,257,001,041,836,896,074,980,581,944,840,799,369,563,732,564,130,487,
515,452,783,287,857,662,798,558,712,775,765,752,461,656,851,971,744,243,454,
466,260,718,446,446,982,159,551,998,544,555,820,127,573,323,238,536,543,057,
417,498,289,302,356,780,145,623,444,102,263,639,967,288,416,426,690,665,654,
004,233,820,521,567,652,511,251,801,714,615,171,791,567,877,758,155,584,739,
131,598,471,061,606,328,195,872,400,445,386,226,860,131,667,356,843,233,208,
076,332,108,786,243,443,260,683,433,792,443,786,362,947,989,305,397,008,344,
357,125,676,048,698,467,507,825,868,599,819,300,429,366,811,583,090,186,242,
076,567,089,132,018,355,772,411,612,870,279,493,579,836,750,234,644,788,818,
440,125,730,468,762,220,151,251,747,640,766,649,385,000,164,008,502,696,578,
941,322,437,182,390,640,977,376,812,515,697,764,909,250,933,939,303,922,782,
696,851,967,796,665,860,723,044,000,335,171,749,941,014,575,489,696,087,538,
540,522,518,368,968,715,683,818,613,387,904,858,365,197,909,882,381,661,084,
940,897,159,380,980,994,428,625,889,841,452,847,873,579,316,381,953,371,917,
221,951,554,811,010,741,757,842,800,570,422,081,468,308,802,004,177,736,328,
386,875,079,483,874,792,976,412,941,071,107,239,324,744,827,537,442,682,021,
115,261,373,531,453,758,936,223,724,459,172,116,071,523,153,661,142,467,970,
488,000,444,040,596,819,078,478,429,184,879,298,142,371,104,509,691,921,951,
850,638,929,026,594,313,572,613,081,289,288,567,362,600,972,585,699,553,383,
687,592,794,344,648,942,632,375,683,709,850,353,018,428,824,281,941,408,270,
650,212,119,333,501,881,175,790,152,811,459,729,947,033,064,869,627,033,676,
913,806,702,907,810,602,808,225,007,221,334,527,618,503,418,376,497,813,739,
022,778,834,138,758,591,232,862,301,597,682,093,468,202,462,104,256,402,293,
108,070,168,421,225,815,667,845,318,122,369,563,949,834,602,741,186,754,528,
706,496,455,545,182,941,814,131,796,136,780,241,474,194,221,705,705,387,916,
118,016,834,184,471,481,985,734,059,393,884,581,146,146,842,595,353,724,081,
943,214,713,304,592,159,049,276,321,265,543,818,093,011,477,825,999,950,189,
581,189,300,625,199,387,765,070,877,308,688,963,184,953,536,224,083,151,873,
422,552,876,316,189,862,732,530,317,585,297,548,318,627,507,738,337,676,733,
935,749,098,318,672,502,025,347,521,592,834,656,696,741,154,154,648,390,451,
103,759,003,230,171,305,236,313,752,957,494,238,442,904,728,660,477,159,735,
600,839,641,019,841,352,105,792,013,397,444,917,432,752,406,287,502,797,966,
860,507,968,146,463,173,679,856,027,473,870,586,545,088,033,559,129,423,796,
460,289,304,940,440,846,477,527,088,903,502,490,378,655,402,573,631,905,758,
954,160,343,294,180,342,525,896,152,790,453,672,332,556,248,554,247,949,272,
195,249,342,160,692,959,349,630,634,436,717,958,527,107,832,972,102,880,795,
867,926,308,529,171,993,283,279,379,593,906,319,572,497,134,462,315,651,084,
898,796,971,093,154,795,503,892,496,002,280,766,110,908,274,205,091,252,936,
704,525,259,051,413,439,702,768,454,201,378,982,595,026,273,062,411,769,544,
222,680,018,062,194,631,342,899,379,923,379,174,631,057,382,055,325,835,018,
219,492,904,878,834,784,063,857,110,189,443,303,413,835,859,775,399,276,723,
183,830,237,999,457,347,267,682,019,556,821,701,427,687,553,681,547,237,906,
552,528,996,948,040,498,921,975,819,514,707,791,171,450,320,645,915,936,718,
488,776,246,600,435,671,226,141,323,893,655,596,440,907,166,103,475,680,985,
852,316,566,023,732,353,106,892,004,384,185,588,717,413,982,774,067,691,392,
914,111,858,553,204,001,968,073,652,316,757,813,034,440,084,965,876,166,322,
888,652,405,136,634,332,881,202,842,476,114,127,869,292,420,145,584,197,201,
264,214,589,452,596,950,934,077,313,647,551,213,911,422,004,393,162,875,914,
145,060,367,042,936,491,161,250,968,648,941,116,007,494,233,730,960,822,193,
303,520,330,844,122,020,626,447,815,729,651,257,200,122,038,729,852,131,156,
767,155,753,226,353,473,013,560,005,496,235,825,095,611,508,778,702,548,388,
156,969,775,190,990,167,514,280,246,737,600,031,746,725,206,632,017,101,626,
017,019,964,658,191,107,315,445,604,573,478,419,798,810,790,901,094,117,517,
057,576,127,856,193,916,734,732,453,627,788,667,042,335,485,482,257,825,877,
793,504,292,612,106,253,960,513,344,555,728,230,054,493,395,801,474,709,756,
052,283,685,372,777,834,935,385,229,752,777,047,242,811,686,239,753,374,309,
730,338,363,648,974,364,081,412,837,657,162,926,911,104,642,033,367,187,781,
406,141,030,387,757,499,336,472,585,329,073,661,690,616,181,181,373,925,087,
657,940,586,022,471,880,080,721,573,623,854,128,449,543,188,854,003,481,842,
451,887,481,035,099,579,986,362,618,624,875,149,908,897,836,762,427,463,795,
547,856,123,467,925,521,012,586,840,773,693,371,327,743,874,323,517,551,139,
059,155,781,422,473,845,913,578,116,293,974,588,770,644,680,814,319,850,572,
284,837,255,285,169,357,760,810,780,830,582,228,220,011,045,558,145,862,991,
570,891,555,900,704,941,569,928,730,772,836,880,219,209,857,217,454,286,938,
157,994,371,334,295,300,358,595,921,719,660,278,938,497,258,263,910,213,393,
082,798,272,706,867,231,134,417,139,077,196,264,270,377,204,772,116,723,555,
863,400,537,450,381,070,932,691,374,826,233,798,258,905,612,692,088,970,279,
434,908,833,528,059,426,168,936,437,817,926,824,376,446,591,217,117,235,099,
276,682,725,673,132,279,272,755,217,484,980,631,995,315,332,038,444,748,045,
801,752,332,876,318,454,181,965,926,985,466,292,731,585,384,237,423,472,252,
927,706,908,755,408,192,878,556,202,984,970,780,456,727,618,414,207,009,658,
521,731,895,943,243,605,289,370,187,870,834,486,089,935,430,169,197,664,719,
620,523,874,961,181,840,902,740,340,592,442,633,579,057,775,892,880,746,838,
438,742,385,965,054,503,949,986,144,473,291,432,565,783,816,887,343,126,446,
471,571,340,817,607,160,637,957,449,910,443,557,793,549,860,665,824,933,033,
120,333,743,324,814,453,340,658,191,613,598,330,866,329,265,854,590,573,098,
854,169,058,126,443,265,766,660,225,666,111,899,076,973,402,000,367,663,155,
344,083,827,165,910,674,677,735,354,507,451,144,997,834,745,763,795,271,668,
945,347,269,057,651,386,573,108,277,197,181,880,645,066,807,000,751,256,933,
872,604,005,409,767,001,998,699,689,603,023,277,601,768,292,248,131,900,446,
547,784,300,050,794,006,501,095,473,674,184,442,527,703,506,341,691,910,180,
893,081,126,244,634,663,939,978,954,955,932,945,627,164,108,094,899,544,987,
185,827,332,876,362,372,579,267,991,047,755,074,797,922,466,596,282,704,996,
299,850,303,533,264,569,285,402,905,252,309,426,748,071,486,446,236,576,236,
189,879,013,435,488,528,262,910,343,909,626,808,680,496,265,441,084,320,853,
063,172,872,515,997,444,896,017,639,683,040,391,672,681,431,544,030,547,984,
830,121,659,006,070,938,342,092,828,868,640,795,712,402,815,336,903,045,022,
584,029,305,850,039,307,617,384,136,362,649,676,920,812,725,350,776,074,708,
063,379,749,512,756,161,851,813,620,725,049,682,302,884,427,482,618,786,320,
799,043,240,591,100,048,989,779,580,920,684,563,007,620,358,951,851,495,182,
553,050,570,988,701,575,675,560,259,939,002,677,615,269,634,960,163,617,735,
221,386,216,408,353,119,483,666,372,549,588,094,938,082,676,517,339,738,635,
108,822,551,397,720,264,874,791,489,939,775,190,882,085,000,384,012,051,257,
593,034,302,439,020,348,416,263,699,352,844,450,463,013,704,060,825,559,306,
170,901,357,913,291,118,173,818,217,377,991,647,471,670,919,244,452,038,788,
223,538,525,289,521,339,393,511,014,648,099,381,032,906,883,503,149,241,254,
696,603,218,589,986,396,645,029,798,881,956,596,854,868,991,726,556,784,761,
496,111,677,000,204,357,799,684,660,009,485,826,680,106,371,646,723,473,218,
227,019,039,161,066,435,031,969,265,048,730,114,693,150,044,835,855,412,091,
980,210,540,964,790,308,272,064,419,006,526,983,494,599,691,628,881,876,825,
082,694,735,751,079,434,254,751,519,544,541,889,487,107,915,901,394,146,212,
862,366,269,976,761,396,992,505,851,240,753,880,469,584,258,735,266,663,064,
196,817,938,717,958,836,668,469,726,171,834,306,231,599,557,046,759,412,006,
609,490,042,803,132,560,552,392,876,770,467,476,275,587,219,014,049,865,281,
710,762,834,146,168,275,478,340,885,858,132,933,765,523,422,723,058,943,993,
869,364,157,419,031,012,787,744,113,336,880,173,732,126,015,878,358,314,670,
631,775,079,497,217,513,456,282,764,852,596,183,827,027,063,381,785,592,826,
600,429,363,808,604,937,115,140,602,879,874,914,581,784,861,179,959,632,696,
782,703,672,422,011,294,673,296,478,050,706,420,250,553,068,474,027,660,610,
901,288,089,515,997,479,585,670,655,210,609,094,514,582,472,007,144,290,916,
682,421,568,971,645,022,942,467,243,813,740,736,979,772,359,115,809,553,802,
326,965,732,888,410,475,571,931,342,283,557,483,871,470,485,450,221,914,034,
102,761,691,664,173,066,947,296,508,784,511,982,571,036,089,458,185,332,814,
077,892,430,309,391,543,288,828,436,217,966,592,414,015,907,129,149,387,049,
838,532,670,433,599,852,230,534,868,729,153,883,325,626,580,159,015,602,222,
681,176,141,009,295,814,817,226,214,716,319,299,928,558,642,474,727,867,216,
092,166,643,912,971,199,954,002,099,097,293,284,647,732,169,854,767,192,206,
074,953,181,789,746,764,743,587,920,616,923,429,157,519,407,141,879,408,956,
866,634,756,441,554,271,340,417,488,709,803,135,934,713,074,457,540,769,679,
636,939,363,805,442,835,341,994,404,376,579,203,135,626,588,176,100,825,447,
132,239,323,645,381,867,680,548,072,772,135,262,267,872,175,177,479,251,639,
326,921,866,149,676,984,580,092,587,042,349,025,683,153,447,013,519,791,176,
026,984,207,051,327,614,413,011,658,726,930,247,233,471,657,112,179,427,590,
174,436,327,391,767,722,523,178,803,671,276,560,941,183,432,180,525,002,687,
932,145,554,470,444,803,528,518,901,406,796,271,930,643,824,736,741,309,743,
282,043,611,848,440,907,176,103,947,251,023,090,614,990,168,169,181,118,828,
707,769,747,612,608,770,225,691,807,787,588,045,216,085,870,656,552,955,360,
049,419,147,323,771,626,035,294,335,767,433,191,179,753,707,592,009,562,493,
576,812,740,374,105,162,839,692,803,367,884,339,534,647,371,348,880,638,401,
015,528,482,718,622,181,490,317,489,051,396,237,529,935,772,168,278,567,546,
889,489,171,389,908,851,713,484,828,694,641,034,525,517,309,028,739,306,743,
244,535,367,668,628,529,357,775,794,726,463,248,173,185,817,700,022,423,906,
825,968,664,508,190,107,612,933,301,989,587,168,678,194,259,090,297,040,715,
036,284,301,894,649,716,800,758,166,794,684,368,139,326,799,728,334,327,754,
756,290,366,390,675,485,451,275,966,125,191,745,884,838,732,801,591,650,336,
628,361,987,219,071,129,297,870,310,156,877,025,695,921,000,648,173,684,295,
268,914,971,208,823,184,717,121,936,157,291,839,738,191,374,319,506,997,359,
225,014,654,016,475,022,332,510,643,003,790,030,169,359,108,663,423,499,029,
611,679,137,644,486,444,534,963,757,912,715,736,771,000,339,838,542,710,686,
211,786,981,499,259,994,592,902,132,902,507,673,865,836,285,422,491,363,958,
189,748,371,750,656,964,842,200,249,207,832,398,422,522,558,083,694,863,899,
173,248,615,146,023,496,133,724,296,868,595,660,016,004,961,243,564,006,415,
304,320,677,896,694,318,167,322,367,730,275,046,676,597,056,742,208,056,933,
932,507,112,210,072,141,632,964,209,531,929,668,560,810,799,132,245,701,682,
464,443,852,099,980,473,092,267,436,331,543,532,819,611,122,034,379,739,276,
879,877,093,569,470,748,756,630,110,859,465,907,326,444,640,029,197,384,621,
612,796,190,384,352,131,128,439,472,937,725,222,007,956,224,203,342,618,963,
074,213,559,605,983,188,330,451,356,078,087,073,099,000,836,251,909,667,512,
679,433,845,541,452,876,685,789,943,877,612,924,614,897,534,265,928,084,910,
899,062,353,125,096,147,873,521,471,885,008,268,484,734,199,108,263,826,628,
289,560,203,332,341,547,403,932,981,089,387,703,225,943,366,585,739,178,843,
859,370,402,318,256,091,082,247,955,021,714,761,554,025,525,590,096,843,350,
693,095,582,105,477,473,500,139,219,610,568,380,175,907,185,133,828,380,004,
523,988,738,209,751,573,395,552,915,854,400,580,476,228,357,514,793,249,737,
288,347,298,687,567,618,119,509,145,056,553,742,294,669,249,679,551,457,963,
259,491,365,836,145,328,371,691,389,031,799,477,501,307,981,256,108,070,872,
134,507,666,619,365,827,445,238,499,712,916,912,742,210,813,080,831,440,687,
233,584,306,243,209,454,064,490,016,558,062,717,717,358,904,719,556,770,095,
691,212,800,823,960,978,684,378,455,371,848,882,954,714,160,498,239,807,417,
324,644,223,209,570,029,011,367,263,482,946,339,379,529,534,743,328,069,666,
040,644,577,914,904,118,770,680,522,518,712,980,596,061,090,935,161,361,993,
279,330,283,925,466,742,221,017,990,182,568,360,544,478,183,649,876,746,608,
193,749,054,640,190,996,455,695,718,016,060,865,290,000,614,055,552,566,661,
491,022,088,736,898,658,394,304,597,354,952,444,711,429,276,582,551,960,188,
434,118,326,214,176,254,870,511,171,130,576,562,393,639,328,167,391,130,487,
253,707,723,334,498,398,998,163,468,768,548,079,286,301,566,439,667,771,294,
065,020,016,540,660,588,132,202,149,525,791,813,524,565,459,192,831,423,040,
813,160,222,940,493,651,478,231,283,042,586,267,966,387,363,771,366,547,450,
408,832,152,572,421,497,354,228,009,435,306,145,618,506,496,875,563,547,294,
651,040,496,944,100,811,456,895,983,849,839,814,420,432,336,318,275,756,901,
099,824,936,269,281,006,827,951,456,899,504,972,631,580,766,652,763,363,818,
023,335,002,961,961,464,903,429,214,920,213,367,191,163,212,815,600,495,101,
541,098,163,522,503,837,033,726,631,721,847,018,016,720,236,680,668,506,365,
844,376,654,998,131,443,638,693,661,703,640,881,341,578,819,058,322,066,571,
447,723,298,869,265,849,914,482,125,922,011,107,742,736,781,257,689,335,831,
955,683,287,834,250,945,435,428,733,088,777,458,908,652,517,009,333,930,695,
511,442,432,036,166,217,182,790,214,915,301,296,267,095,389,904,791,606,513,
507,329,679,733,609,159,972,449,241,731,583,899,197,219,024,049,525,978,522,
177,083,301,698,618,449,829,496,105,975,440,398,838,384,060,090,597,760,282,
633,557,226,190,018,751,455,870,366,033,755,557,182,994,623,175,276,339,267,
125,617,998,919,019,182,962,869,052,358,894,404,488,880,827,336,432,109,881,
836,892,238,828,591,403,110,136,280,587,783,420,990,648,747,698,316,359,846,
376,363,676,463,730,437,845,866,453,352,774,162,309,702,888,458,987,288,704,
225,999,678,000,494,293,636,797,410,367,215,162,490,034,527,926,666,101,042,
377,841,188,271,084,435,888,228,258,856,481,836,861,361,299,141,154,182,841,
666,588,533,190,860,044,541,172,257,370,646,905,895,584,997,168,385,148,480,
551,956,041,288,347,720,494,279,741,444,400,610,738,873,811,142,073,858,455,
091,803,724,862,955,754,868,883,109,222,969,320,113,707,047,786,407,949,229,
060,080,232,060,269,512,715,414,635,157,981,539,335,143,475,072,985,068,953,
174,014,160,884,653,640,473,665,109,487,493,924,241,832,604,081,713,933,080,
318,295,632,013,535,014,432,773,228,898,292,046,793,299,065,275,367,596,072,
858,030,120,841,153,792,919,624,991,149,456,097,868,322,298,659,890,034,036,
393,594,005,162,390,226,639,127,691,342,788,003,632,553,436,744,786,540,045,
057,207,739,003,263,086,869,578,684,774,557,045,329,199,621,364,388,185,042,
516,639,848,864,611,809,410,738,631,926,683,853,363,353,141,695,221,525,933,
936,167,589,772,589,732,347,369,190,168,682,113,692,387,851,409,515,264,163,
104,394,938,576,767,085,947,929,087,164,485,915,120,903,488,570,066,085,152,
351,693,751,965,785,788,506,620,053,829,744,008,651,847,101,213,726,243,325,
572,609,511,619,577,778,691,411,198,876,243,500,271,876,220,831,309,715,842,
820,384,807,768,460,423,794,083,911,369,594,658,902,304,540,282,625,462,648,
746,185,844,761,245,734,413,377,631,023,633,478,825,309,517,443,195,262,097,
820,773,159,450,633,124,489,230,676,121,609,223,744,267,885,268,942,376,238,
283,058,006,706,228,388,277,148,511,513,079,283,215,431,396,847,524,712,402,
338,033,536,585,810,364,918,290,225,713,186,209,253,857,182,966,012,207,525,
432,028,013,181,508,304,892,728,829,356,732,457,457,651,299,836,510,529,880,
760,292,825,144,932,452,085,132,475,189,754,724,341,218,362,367,251,853,348,
600,847,266,847,084,554,624,583,490,892,418,954,054,579,202,320,348,002,557,
758,240,869,699,050,929,087,737,005,132,320,962,241,724,540,313,287,808,500,
346,273,067,037,031,866,573,897,377,738,062,523,586,839,108,195,324,714,268,
831,724,014,781,887,302,471,905,315,217,852,683,524,862,289,599,062,202,937,
479,111,774,005,814,406,669,983,927,324,462,944,426,543,668,874,890,525,147,
767,032,781,838,284,033,030,824,468,732,411,234,795,129,185,105,575,444,621,
784,557,880,978,229,063,398,297,357,509,458,112,440,183,441,544,932,024,669,
999,675,115,149,602,995,092,866,823,353,881,954,780,195,858,062,088,624,952,
136,565,745,247,928,507,470,401,833,706,626,113,459,421,407,437,367,623,661,
340,963,488,328,105,031,620,877,035,462,583,554,328,729,942,773,553,239,113,
548,739,830,173,391,833,283,337,365,952,340,946,935,867,239,036,822,627,395,
693,788,419,215,921,366,216,326,774,915,608,253,141,636,651,075,478,923,408,
901,083,436,952,233,064,418,792,601,407,224,545,675,855,939,624,750,133,856,
362,747,098,290,576,164,318,909,083,517,988,118,848,604,703,608,050,117,130,
828,356,646,999,744,982,860,484,577,810,396,360,226,038,436,235,646,175,320,
550,461,316,821,047,308,109,388,465,929,704,482,833,244,289,508,757,026,254,
201,791,408,364,446,022,065,872,355,267,331,143,613,920,582,265,261,073,890,
850,967,668,751,710,985,176,076,241,080,656,204,514,753,492,395,718,203,174,
872,987,015,716,915,347,913,857,390,756,254,487,492,693,226,748,654,093,827,
902,697,722,999,887,458,023,334,153,623,198,205,822,098,913,013,640,397,621,
131,849,004,763,817,094,571,131,707,432,807,601,208,552,207,852,003,281,865,
014,928,260,040,455,241,363,658,589,064,218,350,241,248,339,479,896,377,556,
667,721,831,026,094,269,521,605,976,968,707,000,761,495,447,445,575,698,800,
632,541,935,010,222,749,492,232,507,617,197,543,920,332,452,965,159,525,421,
361,597,815,684,100,032,227,479,205,932,666,831,793,565,631,816,205,587,715,
971,176,294,839,087,776,475,583,934,952,766,566,694,959,957,728,679,097,705,
165,336,892,887,945,132,550,203,029,232,849,959,943,531,672,168,863,430,208,
067,685,316,621,441,875,880,120,283,889,756,121,491,934,635,618,803,864,303,
826,220,087,086,903,736,413,701,369,444,193,115,135,391,110,223,048,802,791,
541,343,776,885,018,681,785,224,144,752,091,092,968,737,681,281,358,302,627,
431,051,062,429,961,759,019,604,249,886,730,109,046,989,258,724,830,014,210,
245,952,943,914,934,473,041,740,102,896,931,147,563,473,303,149,403,370,489,
308,856,733,278,273,674,260,375,632,581,613,230,399,968,438,555,073,117,959,
239,504,021,859,700,045,652,581,305,779,735,485,336,834,220,043,588,976,879,
407,891,988,314,742,571,331,484,159,309,706,388,902,980,577,923,306,838,677,
327,049,998,876,167,571,463,701,189,136,678,887,987,682,376,323,191,522,768,
020,525,735,630,213,837,542,988,744,237,936,492,070,068,038,136,043,483,947,
304,188,552,685,323,259,675,157,758,304,378,969,054,653,638,771,700,137,572,
467,042,324,931,133,190,918,144,708,142,867,534,318,251,198,311,307,961,961,
648,513,374,684,971,195,274,463,155,537,139,386,263,311,499,822,874,958,629,
111,628,369,898,599,368,946,910,317,952,508,866,959,731,908,926,205,175,436,
985,329,493,942,950,293,415,975,551,726,087,691,013,712,735,629,135,477,960,
303,392,974,018,283,624,937,446,827,252,643,641,458,294,194,955,719,906,833,
092,248,322,202,807,969,797,184,897,900,682,654,542,137,998,730,215,037,139,
045,203,749,228,878,199,855,805,503,103,756,653,108,582,630,493,832,443,815,
261,503,997,526,514,257,560,397,170,943,981,207,159,629,532,583,889,389,336,
365,815,881,545,087,676,354,585,506,681,930,790,441,519,559,494,510,668,992,
104,374,699,208,337,110,384,290,535,146,201,245,140,911,493,110,018,494,923,
888,348,034,291,316,244,608,813,869,418,642,018,979,543,434,631,408,837,145,
141,282,368,304,245,373,487,334,535,209,384,854,009,259,122,870,422,311,497,
779,317,806,664,993,135,838,132,950,114,563,898,163,565,304,864,494,039,905,
194,790,324,566,041,565,502,849,981,522,088,869,316,841,221,216,554,307,924,
088,734,951,927,802,170,224,214,485,421,411,623,485,157,240,496,554,808,205,
425,172,728,784,843,153,818,859,497,750,022,516,594,449,738,907,227,902,399,
249,882,387,563,081,040,039,382,258,968,948,133,968,929,221,133,743,131,537,
670,317,070,514,201,073,762,215,185,061,683,364,312,759,598,437,342,638,806,
369,715,950,136,331,766,764,936,116,837,462,883,025,793,957,124,016,466,480,
032,478,316,704,089,031,806,006,371,454,748,027,611,766,215,586,703,189,566,
200,440,533,151,628,685,467,175,204,043,804,097,048,476,856,358,402,519,341,
240,994,498,594,155,671,019,250,052,519,089,758,424,712,582,227,454,573,268,
609,134,847,862,457,273,374,718,761,195,655,633,349,337,096,019,203,329,085,
053,762,572,000,707,653,836,959,565,883,303,974,844,949,550,003,622,780,076,
365,373,129,521,030,007,974,686,527,500,341,892,534,275,131,047,353,089,687,
896,532,469,991,198,439,445,321,896,247,829,849,633,843,515,861,621,199,418,
454,678,442,180,626,994,125,010,236,399,249,597,514,901,205,489,798,376,036,
415,667,203,091,604,680,770,605,285,347,026,390,030,909,283,223,988,247,681,
109,360,851,574,363,705,576,582,983,041,817,502,910,233,987,785,289,298,221,
812,370,988,871,412,675,910,706,849,101,778,196,627,112,913,365,758,875,559,
081,681,918,049,322,174,468,308,823,253,585,858,515,747,297,467,773,004,612,
856,015,101,501,232,159,727,423,343,151,632,433,346,461,544,315,978,790,429,
817,162,201,159,142,072,500,047,057,370,202,630,874,852,251,909,671,533,801,
937,030,385,428,500,232,100,296,493,618,982,879,985,897,905,769,700,561,015,
092,273,813,492,992,175,030,957,294,191,334,175,721,139,873,653,641,807,817,
725,930,195,533,728,936,278,408,674,226,733,462,458,740,738,663,964,903,631,
406,291,845,965,341,498,660,112,968,042,265,829,204,833,763,258,794,041,268,
096,379,984,115,451,029,342,021,906,657,575,488,985,163,151,930,226,655,511,
879,190,182,539,415,057,728,344,904,788,094,318,124,512,194,868,077,661,579,
392,989,825,759,114,733,147,947,034,569,881,855,053,882,576,369,776,551,336,
854,569,275,848,377,247,975,011,498,696,325,100,094,772,209,057,032,336,754,
497,210,095,783,591,400,283,604,981,201,584,220,592,804,750,918,130,724,004,
308,597,123,985,334,379,346,532,679,130,179,345,748,620,305,006,845,592,097,
434,784,012,943,680,094,718,692,420,565,691,759,062,558,023,946,714,284,945,
528,856,121,804,223,342,963,343,156,350,060,409,361,740,177,053,692,964,579,
938,372,008,316,798,659,988,696,145,461,102,856,655,032,277,046,894,599,681,
501,598,442,097,255,257,193,734,210,778,385,022,156,943,318,840,262,144,373,
359,536,351,000,741,147,940,279,516,077,347,325,616,631,836,483,187,098,634,
589,249,738,728,899,720,553,391,841,627,819,567,934,357,086,282,404,920,662,
520,817,892,058,432,395,599,525,358,255,764,410,639,972,926,347,114,072,358,
980,690,055,377,287,693,340,518,375,484,209,862,542,476,577,129,751,594,421,
556,118,190,890,594,376,427,980,009,492,241,993,649,402,003,036,762,850,075,
792,918,824,260,359,537,207,359,898,131,093,155,320,809,310,028,235,793,469,
295,889,086,134,075,461,492,899,153,819,257,523,760,466,023,841,974,563,697,
227,261,234,654,685,659,031,615,719,415,570,181,372,112,284,559,492,083,642,
289,235,613,757,432,480,623,806,082,554,146,594,046,264,714,394,967,422,931,
682,072,813,585,460,048,811,655,734,551,667,828,742,282,855,257,998,376,688,
163,307,831,734,066,195,578,529,952,649,989,095,632,910,528,754,451,771,960,
575,612,096,247,901,029,157,378,722,083,015,531,935,217,282,115,640,210,854,
116,979,003,992,190,247,853,236,887,335,892,505,828,018,854,986,915,198,693,
248,708,521,289,285,006,222,115,719,962,817,520,923,777,965,031,765,026,966,
211,970,467,462,994,440,103,376,512,690,026,511,125,593,702,191,857,645,893,
912,429,587,361,314,172,072,253,802,398,604,947,768,594,177,900,787,976,696,
491,191,755,624,952,256,764,633,008,731,534,524,187,964,974,210,360,772,849,
739,678,236,045,260,662,628,244,439,963,871,350,315,940,245,199,455,222,988,
740,297,452,514,926,768,433,510,368,391,728,328,101,729,505,772,599,530,469,
974,309,596,130,356,586,333,014,682,859,236,240,369,220,147,203,177,191,024,
400,622,859,247,414,016,925,262,946,922,651,542,754,003,740,893,864,724,162,
490,943,427,946,374,245,593,116,208,818,550,071,255,616,186,568,582,913,108,
421,172,373,806,915,610,742,844,498,400,167,567,634,174,708,396,275,395,877,
228,461,603,734,681,844,579,166,917,639,954,853,061,119,206,526,618,463,985,
928,251,299,835,298,475,591,910,884,581,299,318,256,564,649,232,000,767,378,
451,506,632,350,014,354,902,691,526,542,060,563,008,234,476,114,308,707,844,
892,579,117,558,905,033,960,562,621,312,862,009,078,343,723,176,424,545,255,
606,865,846,824,791,239,699,291,946,297,759,593,484,998,095,198,630,290,728,
533,683,952,221,818,674,559,198,019,436,544,293,079,519,759,985,613,650,925,
218,410,289,397,975,028,021,331,708,157,461,353,338,522,901,016,356,203,930,
977,572,548,758,571,691,649,229,427,344,542,081,094,746,120,406,405,431,332,
351,845,548,192,588,245,924,994,570,131,561,400,531,138,067,402,260,522,824,
026,359,602,266,811,438,476,257,083,398,940,394,335,210,772,704,470,528,612,
529,473,143,600,433,082,548,695,278,569,298,396,317,538,796,791,839,167,357,
271,471,843,695,305,325,331,000,599,425,352,954,075,128,437,553,338,095,510,
455,677,566,096,011,879,886,025,944,880,779,890,198,495,370,517,296,512,673,
166,982,768,579,956,550,203,206,994,039,814,718,182,798,605,654,494,051,571,
327,182,257,830,255,065,701,713,416,923,116,352,218,144,125,186,697,688,196,
247,811,184,138,592,732,498,709,048,462,605,274,784,405,368,474,559,316,503,
168,905,197,802,751,980,237,706,310,720,736,932,406,845,790,844,119,406,937,
771,592,064,216,834,465,280,092,105,422,258,355,464,563,574,816,657,367,267,
502,779,415,989,146,047,023,128,936,415,961,680,677,499,186,845,436,488,237,
866,924,132,178,858,007,145,123,120,156,980,085,532,174,629,702,634,211,157,
303,691,821,190,184,758,277,189,493,192,615,652,374,614,502,472,753,538,873,
677,088,101,442,592,084,642,969,590,380,260,966,496,599,922,483,783,810,703,
049,082,249,152,436,756,312,393,587,603,585,559,899,729,909,581,449,937,460,
733,765,296,462,013,161,454,279,797,255,435,974,518,021,720,864,893,488,840,
811,245,481,444,717,533,604,109,823,010,306,815,423,157,992,222,715,984,559,
202,946,957,981,353,917,400,325,388,683,893,647,539,674,215,698,590,176,084,
540,363,422,262,420,694,203,385,947,288,347,529,257,571,400,261,238,202,171,
480,909,264,613,397,258,331,501,697,300,736,965,211,472,650,528,589,136,702,
440,666,043,919,669,907,561,110,224,818,561,893,459,659,504,371,442,566,529,
646,633,236,885,801,242,064,637,515,976,896,913,169,863,219,898,061,958,471,
566,778,551,300,537,743,550,545,651,984,144,229,488,666,444,756,805,210,514,
802,721,989,213,960,250,058,699,979,988,828,791,685,277,679,540,959,437,929,
955,866,450,985,600,024,079,479,065,794,580,295,165,013,020,449,128,410,858,
813,027,512,801,699,032,075,173,875,248,558,793,462,307,075,817,188,934,536,
597,227,057,779,913,819,691,281,948,415,096,518,991,445,374,364,304,698,194,
031,469,206,463,033,997,205,477,948,487,461,690,587,575,968,303,978,690,236,
740,889,376,803,422,910,375,760,622,382,833,691,786,475,209,647,086,696,837,
143,535,274,223,494,302,953,204,568,228,301,091,366,298,530,634,800,944,170,
684,711,618,525,870,927,283,306,205,416,309,010,398,292,730,550,131,156,137,
920,420,385,946,538,478,019,445,321,422,520,265,029,280,424,407,075,869,007,
280,224,026,477,000,403,207,825,051,070,346,096,308,165,436,240,236,829,671,
837,639,279,709,694,185,366,859,310,980,040,331,255,298,909,670,138,334,560,
001,939,653,155,159,522,748,989,047,460,729,761,611,407,483,001,556,186,576,
459,128,483,300,395,467,687,515,869,804,755,597,239,587,579,820,789,470,275,
496,952,954,666,748,941,365,808,067,459,385,815,335,298,074,647,043,153,235,
219,239,080,142,161,158,763,349,626,588,586,657,761,539,088,450,744,736,494,
734,866,681,948,655,464,737,382,658,190,118,882,121,942,924,401,709,528,106,
710,527,853,845,277,253,717,164,265,455,643,569,309,233,881,484,169,638,300,
167,092,966,406,856,507,864,702,516,438,336,128,254,300,106,180,968,254,980,
574,020,532,233,468,362,239,968,346,741,536,006,720,990,665,007,963,168,957,
356,888,050,620,151,881,549,395,934,518,264,311,424,755,997,411,156,738,937,
080,511,999,175,033,327,175,639,128,895,287,312,355,282,494,672,548,330,152,
744,454,385,975,309,248,489,030,266,037,264,404,502,561,301,288,020,766,595,
275,126,110,683,950,719,264,771,479,557,467,483,910,817,170,980,278,418,061,
753,119,715,610,056,355,524,954,726,052,415,993,992,640,206,328,033,943,642,
673,822,820,865,443,184,678,185,602,842,193,260,169,004,610,791,843,290,798,
902,932,951,514,911,189,968,381,532,841,064,022,705,222,019,755,334,325,217,
445,453,201,844,436,502,959,129,492,832,310,102,075,364,721,730,681,015,959,
427,177,484,659,761,319,080,089,973,029,433,224,383,471,391,314,778,142,618,
783,454,188,795,152,811,712,960,595,368,759,526,234,272,319,080,028,837,007,
795,384,962,466,009,427,444,368,723,257,627,837,836,886,341,784,400,080,099,
451,959,961,527,428,471,163,314,992,772,467,249,700,884,020,445,877,690,413,
834,147,916,109,602,283,098,929,582,099,693,334,748,358,596,418,187,839,831,
511,883,000,334,262,441,317,485,926,475,571,304,375,526,236,235,438,373,911,
224,676,152,706,524,026,765,703,884,177,155,548,410,456,622,864,395,017,423,
057,583,891,040,562,743,160,937,059,993,190,248,076,376,980,204,769,557,671,
325,866,062,012,952,826,511,643,732,428,204,254,815,072,792,300,985,643,776,
669,441,460,726,955,861,665,825,989,956,779,730,434,293,511,867,688,883,264,
076,893,206,398,460,810,045,126,654,220,913,025,139,024,169,109,839,834,508,
339,799,709,538,157,400,956,601,567,460,226,660,943,966,701,774,133,720,738,
426,923,611,583,575,228,859,852,565,940,549,703,745,470,840,513,962,546,964,
100,712,294,747,027,703,074,671,179,576,392,923,229,945,923,806,177,948,191,
366,067,325,141,469,627,955,249,625,120,012,131,905,197,851,079,521,879,965,
049,491,973,751,529,520,220,710,339,785,597,204,642,555,743,877,018,111,014,
208,136,203,351,479,211,763,430,349,662,195,109,096,553,541,459,686,723,602,
913,871,709,277,968,515,809,958,701,297,724,392,994,388,337,062,334,119,943,
891,125,004,592,149,677,819,725,439,062,373,116,792,900,241,657,070,642,137,
704,628,334,683,524,350,465,443,427,383,013,664,737,168,837,182,247,791,694,
831,876,004,620,534,204,855,949,776,515,918,476,151,306,216,437,853,324,307,
350,100,960,043,725,582,939,599,090,151,906,777,528,655,875,162,517,886,268,
542,708,931,580,049,891,195,491,668,359,683,553,743,289,992,520,398,853,226,
740,618,744,538,951,205,693,213,441,757,982,862,270,698,769,494,085,745,649,
859,513,667,739,672,452,096,393,797,274,910,032,732,014,984,037,050,372,536,
051,885,910,392,461,794,362,374,734,289,094,438,491,431,909,184,451,570,285,
916,060,788,235,098,342,427,801,934,702,714,357,921,953,916,621,154,021,917,
733,832,996,447,959,996,979,886,417,210,769,311,263,866,954,850,339,431,862,
106,597,806,457,594,880,246,264,642,590,067,257,909,684,889,311,366,965,193,
398,760,858,120,223,986,145,826,214,967,855,268,855,470,058,772,084,961,381,
500,732,746,608,644,824,594,877,646,235,368,836,233,209,949,590,567,093,184,
013,477,137,420,600,019,986,149,042,000,453,894,729,866,055,578,867,109,667,
027,198,687,796,029,338,638,021,632,753,201,025,952,818,223,829,806,097,911,
223,871,062,337,068,379,275,341,177,726,375,457,330,504,336,202,204,552,780,
824,650,561,640,782,807,185,185,417,499,233,738,294,550,875,767,012,431,015,
934,006,775,906,999,734,922,261,335,393,148,566,720,792,255,790,171,343,131,
266,179,910,191,971,452,050,783,652,738,286,281,377,674,944,051,460,424,952,
469,637,408,468,692,199,276,079,253,107,616,651,032,568,641,945,189,066,842,
739,583,042,532,451,229,236,663,681,647,739,356,222,265,844,418,069,593,576,
591,174,291,420,664,640,381,039,807,842,366,905,820,389,439,226,341,455,572,
155,776,752,807,346,284,228,957,137,076,081,246,423,924,541,500,853,139,085,
569,445,037,825,571,880,738,470,999,750,063,605,650,209,033,529,923,990,810,
303,511,084,548,274,805,234,018,001,459,401,365,759,887,437,085,223,809,629,
713,833,308,833,423,991,808,986,369,992,673,303,673,962,490,923,600,636,711,
357,827,618,887,223,657,942,557,079,076,073,659,237,571,834,893,420,706,121,
087,007,076,430,344,157,422,321,824,169,286,776,479,807,078,323,888,228,145,
984,638,292,085,713,819,041,692,538,419,258,487,373,724,247,542,802,867,829,
367,466,556,974,037,519,893,444,459,110,726,203,462,435,129,738,017,706,309,
523,848,144,824,233,340,301,739,289,081,493,225,192,878,748,029,923,530,344,
976,651,199,196,674,608,008,862,894,522,007,672,776,849,615,357,716,981,360,
284,648,928,619,719,956,984,603,115,360,436,677,941,670,562,605,254,049,436,
571,267,624,582,826,493,888,084,471,049,871,925,302,001,906,632,316,255,441,
359,379,099,129,622,137,115,964,531,763,022,269,511,616,983,268,511,331,503,
394,352,347,771,291,433,695,824,427,339,758,458,834,168,588,508,145,507,787,
087,310,570,030,333,443,391,345,696,783,851,923,276,041,526,987,778,438,180,
507,246,705,376,458,745,561,945,240,593,425,700,116,037,255,608,314,545,101,
814,280,214,824,424,942,880,920,940,549,235,459,377,962,550,673,185,755,282,
610,881,912,856,787,442,759,074,157,764,308,879,110,798,312,958,002,055,967,
173,620,700,668,711,382,817,004,187,558,655,549,422,697,118,024,403,347,587,
446,783,797,307,499,528,724,879,433,559,694,756,227,777,497,624,620,224,650,
112,524,987,513,785,495,505,548,476,175,695,000,319,338,252,080,694,914,137,
741,070,065,262,040,794,739,322,638,584,292,632,068,172,919,642,612,539,812,
842,388,330,092,069,935,684,750,814,561,419,328,785,289,122,722,566,351,544,
281,332,607,059,271,093,762,269,887,438,577,191,645,255,058,458,952,537,692,
265,005,970,858,427,909,929,511,409,019,900,220,365,228,612,059,505,842,230,
884,828,282,343,701,427,174,732,780,854,807,515,644,595,948,411,310,678,892,
838,939,693,137,400,576,988,938,113,974,348,424,117,206,763,654,356,131,337,
000,545,309,925,951,110,776,526,303,162,502,763,662,069,242,194,304,301,398,
106,247,568,815,727,191,705,756,383,851,041,275,628,997,103,678,171,018,276,
406,013,832,867,445,946,926,379,726,304,438,076,212,952,698,083,872,977,889,
649,913,578,326,394,050,660,985,263,859,479,726,956,834,766,134,757,605,482,
685,272,218,439,776,464,728,425,379,544,019,234,500,453,293,859,728,942,018,
096,935,600,844,971,258,645,437,649,082,001,937,625,731,376,735,844,017,930,
909,518,297,577,144,345,003,718,313,830,225,217,643,752,140,503,686,905,116,
434,952,221,015,106,330,993,167,758,231,644,409,195,567,962,800,859,910,493,
742,865,168,708,837,706,530,435,586,571,447,983,401,204,187,561,059,896,216,
366,542,376,804,319,510,932,387,217,636,123,753,755,347,382,142,379,435,243,
435,947,341,332,462,764,337,782,501,668,590,358,577,816,289,840,314,164,997,
200,462,474,127,367,255,751,675,225,479,407,982,512,413,954,485,561,094,425,
628,206,980,262,073,301,967,569,613,807,702,308,598,185,137,434,444,755,928,
233,970,463,571,875,197,897,453,095,875,238,924,574,163,537,675,704,750,750,
643,973,711,503,613,765,550,370,779,257,654,248,714,998,160,205,137,401,274,
536,427,995,512,714,827,662,816,165,008,472,040,843,188,220,947,579,541,770,
820,560,248,884,356,821,490,859,378,998,231,892,263,086,285,484,400,573,467,
243,961,816,004,383,694,893,619,413,488,743,289,564,848,010,406,680,248,669,
962,735,635,708,957,948,517,577,372,871,425,594,644,310,748,825,811,293,209,
212,066,133,354,426,651,782,817,344,072,551,188,947,818,030,347,763,486,691,
212,054,727,789,774,698,615,909,301,440,443,147,935,470,366,732,107,173,876,
545,887,392,365,863,937,748,449,442,448,292,090,389,069,349,991,503,822,242,
518,621,470,840,465,133,788,185,520,252,739,273,574,375,535,153,283,824,680,
954,122,028,939,636,164,758,796,709,158,955,814,133,015,846,811,021,793,548,
898,110,353,509,862,045,298,768,385,834,825,748,424,883,645,876,257,955,745,
586,373,922,702,126,471,058,958,205,121,214,586,776,374,233,902,529,090,988,
885,970,998,989,717,906,718,538,245,169,624,659,519,391,630,670,469,079,067,
563,508,361,774,385,245,216,498,876,025,293,982,936,809,120,696,328,794,315,
947,927,007,135,769,695,693,851,957,054,940,245,853,401,757,228,561,038,065,
612,612,927,647,852,619,421,317,713,164,024,968,273,723,616,126,761,571,607,
712,806,547,311,132,818,835,657,541,142,301,354,238,595,382,792,937,042,530,
870,522,611,592,716,569,374,848,675,621,349,281,660,920,456,896,897,136,223,
296,886,761,558,342,808,736,739,118,963,841,280,149,067,161,744,852,599,917,
152,262,513,677,267,340,934,939,921,294,047,432,697,221,850,243,555,567,325,
838,575,147,695,825,149,968,009,670,242,559,135,747,021,497,433,466,901,431,
986,542,262,046,462,920,583,126,104,340,819,995,561,406,810,312,197,910,851,
812,861,664,499,164,402,271,591,177,481,169,976,366,136,482,712,180,841,595,
019,990,355,453,258,988,529,594,830,341,726,145,839,021,820,392,356,277,078,
552,466,071,232,740,523,673,189,264,836,845,327,227,678,542,873,342,150,840,
021,294,709,631,706,186,793,787,481,448,542,316,717,211,147,841,478,146,567,
684,742,021,116,798,297,961,969,613,623,785,509,887,160,673,488,205,091,206,
616,048,846,482,240,902,904,126,404,571,878,133,915,236,436,844,427,656,541,
703,756,898,160,531,068,352,211,709,617,981,242,897,491,516,886,307,608,353,
561,157,020,035,630,919,377,286,220,848,557,501,365,598,938,439,789,513,012,
365,865,218,495,595,370,986,002,431,749,721,538,552,143,334,245,478,042,546,
985,156,713,185,328,199,995,006,991,914,342,703,532,855,988,706,921,537,806,
454,981,026,400,700,491,089,234,531,212,006,391,949,168,734,864,084,301,615,
375,482,947,198,666,717,336,905,994,056,250,652,658,827,062,755,452,879,048,
004,362,559,715,824,508,570,311,345,799,172,180,119,605,208,654,089,537,969,
259,712,409,503,681,690,188,919,838,901,260,721,634,072,816,543,711,806,340,
208,286,866,536,053,327,102,001,352,405,853,280,342,531,543,391,075,155,550,
521,277,135,613,068,282,971,822,065,624,842,838,870,820,296,897,176,799,688,
487,035,550,202,736,235,922,510,274,339,600,046,551,550,866,900,821,349,699,
102,288,186,106,128,119,028,709,324,059,911,139,401,752,313,584,474,760,051,
535,472,102,454,862,707,097,502,941,629,319,562,620,219,356,621,892,829,309,
058,813,792,190,132,423,117,597,656,997,345,377,427,789,685,799,251,846,709,
992,090,633,541,514,222,360,742,803,331,319,919,957,459,859,467,264,901,821,
510,925,640,742,971,819,171,499,608,073,444,212,321,066,346,961,659,294,550,
120,601,775,200,008,732,284,860,678,735,835,995,168,180,829,799,009,813,276,
761,174,572,112,476,196,568,455,328,576,437,130,631,337,732,572,343,270,780,
168,245,847,500,922,648,770,428,250,591,883,780,703,082,605,992,367,314,625,
001,820,098,354,827,647,633,377,395,218,575,071,196,182,555,914,616,771,245,
969,435,663,751,711,964,148,624,791,022,524,315,583,101,923,886,966,260,257,
504,212,225,275,039,246,959,874,889,078,025,861,029,913,284,241,998,242,576,
549,749,794,120,135,816,621,145,370,016,143,281,988,987,884,036,167,257,759,
469,681,050,660,882,095,614,205,434,745,130,409,459,770,611,245,036,661,877,
913,709,775,146,232,664,479,747,823,698,852,280,413,307,936,935,929,617,390,
998,378,841,544,097,174,287,213,393,451,275,099,580,793,164,090,420,789,425,
679,948,805,023,809,384,575,862,081,729,844,193,142,410,391,625,484,067,536,
016,711,968,048,228,535,146,067,372,191,347,481,375,747,118,403,040,461,115,
714,143,085,675,484,825,102,640,797,350,418,814,333,144,678,410,606,046,269,
803,403,948,345,184,011,743,156,460,646,100,079,310,354,274,438,371,844,118,
907,612,848,946,888,196,035,350,321,147,122,055,850,249,013,236,343,790,202,
304,595,410,783,432,274,503,116,224,231,870,556,207,279,566,930,856,977,230,
608,209,209,628,380,120,891,601,277,697,337,983,517,841,339,901,908,401,476,
452,941,832,957,000,759,025,763,498,167,513,589,801,058,575,437,781,204,202,
135,291,353,794,274,198,643,280,634,713,220,485,439,294,136,978,045,206,652,
655,010,835,273,198,799,397,567,005,404,030,491,814,828,677,542,666,957,590,
806,164,660,217,912,417,063,621,859,698,806,938,328,390,379,900,059,470,618,
059,276,138,990,374,926,955,286,319,968,883,425,071,653,437,490,489,167,239,
827,285,807,911,144,872,162,310,975,798,164,577,579,910,664,003,377,657,768,
194,809,493,093,729,477,204,248,761,564,438,619,291,353,681,885,218,635,013,
938,630,806,656,533,088,191,861,262,657,228,422,805,310,752,978,929,471,526,
396,339,342,653,569,881,726,445,422,137,336,412,016,960,205,453,377,573,992,
558,349,560,893,852,249,203,685,643,412,875,306,144,680,175,698,588,860,998,
884,038,903,205,612,759,522,337,414,257,223,075,447,848,403,745,605,349,248,
378,243,860,617,620,764,955,409,724,191,467,517,975,220,162,954,821,682,371,
303,131,157,579,312,627,135,095,564,908,849,474,197,909,776,838,207,738,150,
973,345,187,385,709,017,314,622,996,247,252,720,625,525,620,078,608,865,715,
897,915,011,038,323,629,878,004,421,551,124,136,873,891,615,278,926,108,574,
183,269,887,556,851,294,816,616,610,515,168,728,809,530,776,569,359,674,836,
191,018,107,794,667,117,805,626,171,506,388,050,198,258,181,174,590,433,383,
761,891,608,275,987,332,648,750,083,595,788,600,529,140,483,660,254,790,967,
686,021,931,693,052,732,675,257,929,588,457,194,495,850,175,575,528,662,073,
759,862,864,435,577,611,209,494,992,917,704,163,689,270,266,479,623,592,535,
559,282,787,530,099,663,906,751,884,596,947,936,634,629,160,527,591,700,362,
508,196,625,479,277,389,316,813,012,710,864,208,091,774,892,609,492,353,130,
703,931,842,930,133,749,898,271,127,578,783,712,082,468,658,770,821,830,498,
023,062,417,042,741,420,580,474,598,307,979,723,772,404,498,978,645,965,897,
346,647,858,695,900,720,726,113,632,140,688,744,436,683,841,375,956,195,184,
053,807,834,202,950,391,937,196,511,259,255,705,187,058,136,360,704,483,163,
385,359,054,328,575,383,155,048,256,603,804,037,956,521,599,793,652,216,319,
569,505,491,232,687,007,713,886,614,568,253,870,094,064,969,395,427,477,793,
724,294,096,666,630,151,831,213,022,339,643,391,214,562,248,007,560,965,923,
620,273,970,953,030,527,813,044,934,506,628,912,100,521,139,989,396,605,943,
613,653,614,719,435,217,522,637,502,834,067,557,537,023,843,135,401,972,994,
568,350,384,132,394,674,833,006,340,974,690,033,473,939,247,822,652,462,413,
704,484,470,884,285,886,933,172,244,814,003,176,681,617,744,246,114,279,807,
986,624,462,821,192,794,892,342,420,502,929,222,208,029,021,121,358,629,348,
325,739,922,710,243,850,468,282,240,631,155,288,850,073,864,381,457,486,164,
456,466,949,395,280,944,963,050,196,787,923,971,022,749,516,729,840,703,878,
556,912,228,695,090,058,675,369,568,112,117,401,440,145,139,850,582,170,567,
565,053,284,735,826,233,626,581,540,944,145,039,067,614,618,971,681,361,001,
646,446,962,143,109,637,056,683,527,960,254,592,582,936,207,412,728,225,504,
604,949,419,617,226,854,079,773,012,467,634,819,070,218,459,226,398,107,517,
816,198,821,946,472,786,033,113,145,836,729,307,623,224,485,978,737,666,865,
685,141,215,823,425,907,690,410,240,292,731,180,455,981,195,868,564,386,309,
179,947,164,013,204,966,098,893,443,433,771,568,460,270,405,913,620,615,171,
234,389,109,241,334,398,889,328,638,321,722,863,831,693,887,291,328,245,996,
853,972,950,944,516,089,511,326,437,207,795,366,856,514,370,861,263,080,007,
276,591,432,139,568,332,701,315,369,996,985,467,883,775,511,146,575,908,617,
406,515,850,047,101,732,730,325,083,629,179,077,701,025,660,096,990,968,424,
412,039,481,502,881,706,662,298,264,539,717,894,390,577,852,119,249,340,021,
601,316,564,064,222,567,434,574,229,079,620,701,836,772,317,585,219,799,702,
362,386,643,987,863,024,450,781,225,904,441,279,134,802,033,630,933,658,769,
749,822,504,597,511,674,170,829,429,421,127,370,871,184,263,839,806,968,041,
097,186,522,202,315,307,799,222,703,889,088,096,826,122,148,878,067,841,108,
212,228,695,516,850,237,452,265,270,132,447,562,725,704,928,155,081,595,115,
244,920,289,757,127,080,822,347,712,184,910,213,739,108,411,152,032,973,253,
201,767,780,598,044,299,035,153,070,651,594,567,476,763,265,339,913,467,042,
619,280,670,271,178,557,857,195,068,211,785,267,357,491,411,528,609,677,513,
454,431,524,915,084,245,369,509,274,710,602,468,257,861,964,123,621,105,324,
072,003,256,835,677,092,272,582,658,852,112,948,099,058,661,334,782,918,754,
640,273,728,165,909,668,410,238,850,012,567,593,729,156,939,013,354,944,340,
871,796,101,333,442,432,842,775,496,222,832,256,300,491,878,306,592,498,370,
782,881,485,536,899,004,543,858,079,986,551,025,300,628,021,994,737,222,276,
024,159,982,202,539,005,876,083,931,931,183,478,360,814,979,887,071,593,172,
128,281,812,238,330,427,951,067,063,272,127,473,855,224,855,809,900,009,318,
675,181,300,182,025,903,091,177,316,089,822,946,835,492,394,049,739,060,483,
851,608,345,998,700,445,651,168,543,985,133,141,527,083,271,581,775,130,144,
365,010,400,525,183,385,244,259,485,390,264,550,586,185,535,550,624,762,680,
661,879,500,827,490,634,717,729,357,353,619,290,918,494,541,328,532,465,952,
828,925,787,682,541,902,386,720,407,942,172,008,491,042,346,419,477,803,992,
473,529,959,308,256,429,052,301,582,553,008,738,138,068,022,026,011,313,064,
678,773,628,576,428,449,042,421,801,663,731,991,781,982,249,258,786,749,897,
519,223,411,121,548,232,943,582,593,049,309,685,751,079,963,511,571,625,141,
645,377,885,243,282,069,513,800,062,558,531,172,962,855,627,887,878,989,883,
488,565,797,518,084,123,540,442,047,958,708,865,388,901,822,705,398,120,189,
609,396,965,290,344,992,344,686,660,410,360,802,201,714,115,573,426,337,211,
372,314,010,746,767,981,435,487,634,872,578,016,662,334,497,609,204,371,635,
148,312,900,926,446,246,333,605,207,144,945,098,309,045,448,861,132,436,340,
643,600,492,558,936,886,080,963,310,852,582,122,026,538,754,816,440,740,056,
151,965,871,361,548,925,816,984,719,637,692,939,899,527,818,879,462,269,135,
789,453,986,817,645,409,314,416,446,802,001,583,844,615,134,733,660,860,733,
903,799,185,508,870,605,081,768,930,754,116,076,154,313,247,992,724,866,185,
791,568,266,769,015,643,275,520,349,387,931,585,811,883,721,607,491,962,323,
506,208,224,265,196,665,010,864,726,347,996,137,943,659,057,435,730,422,298,
148,101,039,485,237,028,582,718,999,847,584,805,465,255,412,587,287,041,980,
776,275,640,220,354,471,147,985,803,211,766,945,554,226,262,194,387,571,251,
104,288,656,588,664,487,649,609,723,227,479,768,792,481,324,101,296,485,692,
352,295,692,063,746,477,449,815,651,682,226,181,780,396,783,540,172,438,172,
229,879,718,510,481,174,353,116,005,681,449,720,098,547,025,064,147,862,698,
545,568,968,232,859,097,431,661,093,438,206,686,448,881,408,290,748,695,745,
297,500,038,015,599,445,008,889,380,368,547,383,276,601,400,903,834,221,683,
473,957,366,239,849,269,895,545,490,693,065,090,701,117,089,269,426,154,186,
162,409,550,766,237,853,427,013,139,222,804,075,460,754,397,978,686,331,968,
613,009,071,285,883,575,532,009,242,250,412,458,941,903,912,915,581,314,980,
550,787,694,811,170,110,588,428,801,374,895,974,194,293,263,480,960,420,432,
575,477,656,594,548,683,823,554,805,052,764,088,206,663,899,357,353,371,724,
744,175,840,943,496,659,285,383,957,944,704,588,655,470,142,414,602,907,734,
991,594,877,130,134,665,673,326,648,017,268,734,627,762,298,868,107,612,760,
996,451,388,264,161,725,461,936,127,901,512,614,691,363,608,725,753,032,315,
505,601,098,492,178,285,330,120,772,114,799,697,000,211,483,660,554,612,259,
775,082,656,338,180,706,346,410,824,081,473,839,773,848,707,131,766,726,326,
572,133,565,965,986,435,628,814,436,859,863,208,295,788,998,479,913,341,969,
173,735,451,608,409,867,733,514,328,081,844,832,760,192,786,571,275,287,000,
615,113,299,055,327,092,038,878,750,999,167,404,015,342,282,129,706,208,333,
265,885,792,211,103,719,914,146,849,109,899,902,336,811,077,600,813,017,673,
738,760,744,590,739,245,649,064,748,376,678,844,145,096,822,560,638,871,487,
576,034,219,090,695,954,938,445,605,784,524,816,432,794,185,596,985,228,331,
918,310,363,066,663,087,727,415,958,264,383,710,492,087,648,248,182,714,957,
160,525,964,863,318,121,602,802,987,762,360,726,085,849,602,340,566,980,203,
062,290,509,196,850,120,682,350,662,898,099,660,897,235,987,591,997,754,901,
626,395,584,609,017,440,753,725,315,654,965,368,346,196,874,506,284,444,378,
597,710,090,158,513,081,825,794,664,513,668,383,610,114,598,405,275,056,758,
587,799,513,032,946,211,322,936,976,312,052,832,401,945,337,916,866,571,348,
022,452,240,328,798,659,286,076,962,427,648,946,028,943,792,886,636,503,236,
695,903,924,277,904,361,878,184,174,282,125,975,630,602,390,290,598,741,128,
904,158,711,754,795,706,751,258,497,483,138,316,304,437,688,236,797,174,543,
957,347,304,944,491,594,163,973,645,304,932,603,296,723,877,793,503,458,346,
818,259,222,815,833,857,369,730,276,100,241,264,656,168,001,319,664,329,183,
169,499,739,772,343,969,018,515,474,990,155,202,840,082,531,284,342,434,262,
675,316,338,878,006,023,402,090,241,070,005,136,874,022,966,006,853,518,814,
460,585,555,769,995,784,530,112,866,164,455,463,686,564,656,306,316,753,284,
821,746,430,101,505,716,368,232,905,575,878,184,577,463,025,569,910,259,443,
805,067,384,110,912,379,745,734,327,055,493,165,595,790,661,599,349,598,039,
424,795,933,965,080,777,802,209,700,376,175,523,602,210,972,523,053,089,604,
287,163,685,055,737,450,590,274,396,489,428,336,363,218,904,136,765,668,745,
255,824,217,554,308,906,827,728,666,953,835,282,597,054,382,920,021,994,830,
540,036,990,389,742,966,299,013,740,673,975,830,938,183,794,655,679,300,177,
608,751,207,523,461,263,870,778,369,161,878,325,109,553,553,213,863,708,214,
814,016,376,837,295,120,196,392,778,192,788,279,458,767,954,410,562,160,000,
844,337,121,206,347,789,368,581,061,354,340,334,527,616,514,104,901,452,478,
469,994,361,439,353,530,757,809,624,293,891,072,514,901,783,403,609,675,198,
016,797,533,528,057,671,621,991,828,875,023,698,382,174,370,689,767,954,884,
473,940,602,739,510,771,285,334,260,570,759,712,048,796,577,750,465,748,775,
980,379,371,138,351,965,041,798,216,381,025,068,792,494,677,894,950,367,262,
292,284,857,880,134,077,064,815,371,609,744,700,734,927,198,993,644,318,150,
373,171,098,565,850,088,079,075,264,259,632,230,479,887,571,131,347,742,641,
621,343,992,789,026,474,244,479,051,254,005,040,622,340,469,429,978,568,077,
675,969,557,630,337,846,970,359,366,890,745,965,276,734,982,825,484,862,193,
387,103,838,955,431,706,248,127,799,850,477,715,309,587,597,902,099,993,204,
538,401,900,753,037,489,439,286,110,199,840,407,076,256,242,122,279,671,885,
241,219,454,048,108,376,681,329,465,431,742,054,989,044,024,718,325,028,567,
987,167,593,867,738,386,568,676,320,906,748,009,855,719,960,364,969,831,416,
576,820,868,214,097,248,833,439,120,061,287,760,790,991,520,325,682,586,341,
145,662,042,621,900,975,082,450,161,906,351,447,252,920,970,323,959,569,445,
424,366,878,907,479,160,254,169,691,987,376,887,676,737,338,552,272,926,154,
740,121,243,850,367,037,771,068,159,068,392,212,748,248,493,576,973,848,341,
413,405,112,721,935,498,862,942,900,268,797,602,644,415,515,526,523,716,036,
818,629,334,051,792,339,802,148,223,486,697,332,470,009,025,992,562,540,114,
046,309,724,947,830,582,651,656,295,699,357,691,863,017,845,886,948,416,872,
652,041,624,214,179,334,768,826,922,610,275,467,344,826,142,274,635,784,959,
395,138,080,920,204,695,466,564,606,993,411,699,531,617,433,542,743,389,423,
207,996,593,186,012,337,955,745,094,431,479,758,385,393,636,037,695,926,209,
677,403,104,534,604,791,609,728,355,052,263,506,941,658,380,321,474,919,253,
943,165,772,779,571,038,866,598,969,362,507,527,682,982,418,202,335,543,119,
653,205,120,511,909,888,587,452,540,405,664,613,751,179,328,140,430,050,981,
383,422,984,726,030,094,014,615,521,575,096,190,320,539,507,224,223,712,924,
897,843,942,685,266,966,842,263,812,505,974,535,070,417,729,508,273,982,016,
924,561,212,060,421,827,283,352,523,792,726,291,541,689,010,970,135,546,430,
577,205,995,457,730,262,379,422,609,444,319,286,550,984,141,338,046,849,237,
323,683,189,742,258,548,963,842,882,157,669,097,040,562,037,477,249,021,944,
322,478,104,628,171,490,325,711,091,739,134,960,327,618,358,432,256,535,869,
827,998,325,185,220,698,045,558,272,672,848,087,390,241,217,713,356,133,449,
633,886,236,775,830,254,750,005,432,885,057,460,408,705,942,985,557,378,892,
472,354,666,779,308,731,316,052,855,098,655,982,309,647,041,428,414,408,124,
169,437,084,083,870,006,319,552,827,844,895,958,810,474,308,628,384,079,089,
791,141,213,509,795,743,621,715,800,048,672,819,103,835,803,109,677,823,139,
624,680,211,113,751,923,252,819,765,888,742,060,381,852,374,789,263,359,895,
085,917,907,418,953,295,261,091,862,040,481,061,458,518,692,055,427,329,765,
801,931,138,713,791,937,023,948,008,038,602,918,399,176,550,705,069,579,364,
888,360,582,616,184,752,820,012,813,373,044,567,265,045,111,271,990,394,196,
024,541,892,201,103,183,044,372,852,396,088,566,189,466,092,117,461,471,227,
011,380,526,175,183,689,419,954,179,263,218,630,786,160,374,064,667,290,359,
045,962,701,553,473,847,876,442,754,582,491,798,153,540,147,538,871,146,319,
691,841,599,522,572,622,430,700,736,684,010,144,505,138,582,510,560,525,979,
766,413,695,421,073,690,276,957,666,124,575,188,983,315,243,740,145,025,844,
895,897,343,770,730,482,080,576,990,514,382,948,755,487,735,451,653,465,708,
242,643,001,900,416,147,184,363,823,924,497,550,875,032,153,719,892,745,288,
634,186,956,354,691,707,742,738,214,397,577,120,310,474,349,569,726,188,811,
377,613,205,195,446,589,947,225,496,384,959,151,272,747,373,469,706,776,965,
710,297,501,919,639,681,020,742,012,087,128,141,664,798,734,378,499,105,390,
291,478,086,754,661,284,774,699,101,217,827,005,782,256,540,317,920,190,787,
407,337,004,300,105,574,598,297,619,803,115,507,135,821,683,410,550,569,690,
854,930,711,339,608,122,978,320,741,543,506,803,992,070,177,190,126,847,552,
643,418,346,597,706,907,892,500,400,780,559,986,311,086,949,259,747,098,510,
848,456,807,812,894,790,767,282,232,100,395,177,013,613,902,063,883,752,694,
948,596,687,806,735,639,963,302,140,699,675,066,065,351,945,691,275,377,739,
247,725,385,860,166,727,283,426,027,231,407,771,320,131,151,048,998,441,332,
831,698,857,727,038,008,584,574,754,858,944,745,716,713,242,538,588,604,976,
242,257,674,671,346,943,238,212,812,233,812,254,651,236,265,326,612,269,410,
293,617,750,493,098,021,775,373,343,457,445,682,497,977,528,622,561,905,430,
782,605,976,640,668,491,711,734,586,592,035,121,140,962,583,992,043,405,322,
502,424,254,677,679,867,901,821,017,124,179,674,516,865,718,710,439,367,549,
951,709,422,619,897,854,881,059,821,867,696,534,703,952,810,669,922,581,180,
932,626,136,449,580,490,136,959,961,182,346,859,144,681,961,761,628,234,384,
462,853,427,050,200,744,686,848,611,263,690,966,098,304,871,748,290,140,935,
552,973,413,969,619,765,051,415,847,288,369,157,922,261,526,207,776,080,267,
089,424,552,119,340,469,781,406,804,572,471,419,523,918,390,003,297,865,961,
100,500,852,416,528,556,818,275,224,569,642,122,661,118,864,097,811,702,026,
777,771,349,798,348,775,585,157,567,919,231,889,845,602,025,034,995,450,267,
654,436,016,883,142,663,641,914,968,188,812,719,827,512,191,568,796,797,468,
115,764,282,155,970,036,613,865,480,968,919,463,912,775,868,016,680,897,571,
527,128,659,628,247,674,927,642,568,642,519,729,245,347,170,888,185,387,088,
075,983,845,125,545,936,200,515,862,862,245,112,451,907,820,539,407,808,285,
164,369,343,084,460,560,081,162,854,641,788,776,244,959,882,106,806,774,049,
250,766,506,674,294,881,996,407,185,120,033,962,719,016,156,040,926,246,782,
494,375,055,164,400,932,643,629,585,930,766,124,207,314,235,877,079,533,504,
200,427,744,482,630,894,630,199,841,511,646,176,605,329,880,933,779,653,186,
256,178,443,863,551,862,068,420,193,079,331,741,023,515,458,757,955,461,043,
394,288,796,794,340,135,530,867,019,736,270,239,371,448,953,275,938,466,764,
081,765,979,742,764,721,901,958,500,918,204,518,335,187,257,342,954,912,329,
461,306,827,638,532,752,786,075,319,539,000,872,164,687,108,546,360,291,862,
239,967,608,447,204,154,307,998,592,648,926,583,405,003,751,511,753,707,338,
430,545,028,693,390,650,778,642,176,414,640,966,230,093,525,726,954,400,887,
568,699,373,846,057,591,450,524,287,284,481,663,540,541,459,230,952,201,954,
958,017,058,730,692,735,736,411,041,988,841,804,481,816,360,134,728,188,370,
732,560,479,722,159,666,292,906,191,641,709,506,312,336,439,723,164,525,003,
477,957,923,365,373,177,939,332,326,510,301,016,385,856,324,032,801,023,436,
413,211,978,881,165,580,968,200,717,637,472,008,816,369,093,483,524,114,127,
412,454,466,193,431,732,094,238,767,962,387,725,192,462,629,572,829,868,463,
174,658,658,600,190,324,933,489,147,356,155,044,995,496,251,406,950,590,236,
216,975,063,229,295,990,825,284,700,269,423,504,768,028,488,193,831,151,842,
248,784,751,670,661,131,853,786,087,070,279,636,872,194,490,429,697,643,476,
376,880,859,944,491,896,661,668,168,934,859,454,544,202,099,188,577,392,105,
109,455,340,216,503,422,807,913,914,410,644,002,905,261,053,084,723,325,394,
437,327,145,353,157,043,625,450,074,165,024,563,634,461,287,986,914,543,957,
492,468,629,884,080,738,375,412,638,467,133,182,585,684,603,198,437,055,060,
313,290,843,605,611,567,171,443,664,431,007,981,127,554,622,952,512,795,816,
558,019,785,908,544,644,096,147,402,886,008,023,889,399,464,746,724,446,829,
796,913,329,228,898,985,536,677,038,622,868,240,830,963,455,901,735,450,223,
393,613,398,964,714,504,976,490,612,281,134,802,644,362,114,846,355,810,870,
976,669,008,912,522,759,324,953,327,372,192,145,488,180,988,735,259,607,318,
296,821,733,250,749,424,989,288,718,833,203,355,902,169,852,616,000,671,336,
602,749,887,437,439,799,257,016,328,447,474,165,253,704,568,920,090,316,326,
169,474,677,312,849,875,423,841,155,746,252,886,371,970,328,250,603,283,403,
832,142,174,531,461,229,901,435,053,793,094,677,544,224,583,226,448,262,460,
212,404,892,868,133,388,048,431,596,188,501,648,440,195,202,941,150,495,793,
064,271,814,343,947,519,807,141,301,836,970,742,556,942,628,438,922,770,268,
249,194,668,122,529,802,736,717,515,027,215,235,002,279,105,008,021,541,790,
493,689,878,750,686,010,491,027,447,522,940,843,984,067,168,470,802,341,339,
673,002,706,796,936,103,170,208,453,473,926,510,661,618,197,690,143,245,000,
860,872,217,844,825,354,224,379,819,504,514,267,090,186,100,116,916,866,823,
422,536,121,579,150,565,767,057,396,627,470,362,150,808,791,336,297,705,758,
963,827,052,691,906,403,613,729,398,432,713,294,772,656,888,114,745,577,930,
985,329,041,583,625,250,741,301,199,936,716,814,764,644,354,398,028,314,831,
561,472,551,879,673,665,791,553,551,728,836,826,224,489,882,540,087,958,280,
751,027,794,891,309,900,306,170,557,477,036,881,146,001,171,321,889,965,114,
808,023,082,263,757,099,524,734,785,149,008,848,465,894,617,430,065,285,878,
229,211,157,760,487,291,086,116,242,287,358,312,171,083,433,494,532,908,072,
692,218,068,027,018,305,438,899,351,132,407,608,549,657,173,095,361,515,983,
593,769,958,346,581,831,396,514,293,116,848,004,161,860,388,547,484,660,256,
231,132,361,914,693,322,793,695,459,214,618,233,904,806,809,075,626,793,524,
993,593,094,272,107,232,086,469,768,748,113,792,983,506,047,137,947,889,076,
164,616,910,776,886,327,150,916,033,118,050,782,833,634,475,655,018,724,595,
655,879,677,113,711,830,393,226,362,442,958,497,010,211,668,946,117,872,388,
230,301,943,489,596,946,788,334,914,117,523,343,186,602,365,281,835,181,901,
124,088,615,033,966,825,859,462,889,629,344,558,582,246,726,162,865,908,299,
266,069,151,371,352,855,023,367,199,701,074,024,282,358,410,448,578,499,973,
696,393,118,383,746,132,314,276,072,751,675,597,187,499,662,481,041,503,966,
692,323,771,682,157,645,823,148,843,217,682,061,722,835,560,957,139,147,781,
817,887,538,456,305,147,036,294,399,624,952,797,068,916,020,414,504,414,181,
515,492,011,449,326,429,141,236,009,129,066,358,752,045,748,228,059,750,484,
350,954,896,603,225,799,068,136,542,734,464,232,190,004,783,392,515,156,579,
544,315,754,786,000,559,982,146,747,817,163,598,037,621,973,728,309,906,388,
773,954,381,947,481,237,876,687,606,482,162,152,221,094,231,224,779,393,504,
538,412,573,940,580,790,490,501,949,047,620,317,755,619,638,617,353,197,744,
317,755,535,984,370,045,227,990,419,169,258,803,865,147,288,871,566,061,651,
793,809,870,693,435,375,836,807,854,945,212,976,840,163,530,028,626,208,288,
584,428,482,978,994,317,409,908,349,790,496,189,652,608,479,171,543,189,521,
275,210,523,997,964,836,859,730,303,713,152,967,298,930,520,638,275,936,707,
529,848,552,013,626,033,595,915,483,342,818,447,444,528,811,665,294,581,447,
123,531,942,136,923,260,141,450,140,248,614,303,085,679,374,199,105,386,534,
891,418,076,572,428,651,867,017,675,953,373,275,610,911,534,730,104,294,416,
988,473,593,684,144,152,256,820,406,908,376,477,409,682,866,179,472,089,899,
564,059,097,030,972,450,578,033,071,777,560,353,278,266,649,051,228,135,514,
618,826,146,097,898,593,144,456,039,989,906,300,688,956,193,017,265,573,623,
883,132,865,040,580,102,525,326,002,753,481,070,523,883,078,028,154,606,830,
576,645,786,843,745,875,414,297,759,541,781,353,098,289,516,085,105,185,915,
371,637,344,731,402,606,554,382,929,960,236,758,605,600,178,399,171,636,721,
569,980,346,929,615,071,903,870,867,573,946,965,505,911,612,753,602,032,471,
497,147,825,535,068,149,351,819,357,100,003,310,274,486,296,948,810,025,881,
701,353,078,957,036,955,336,158,709,953,229,611,657,658,503,478,472,199,764,
038,310,244,160,120,262,629,924,435,982,423,024,187,830,029,586,033,817,747,
966,568,564,836,731,604,391,355,254,780,709,186,447,739,723,573,283,152,634,
481,145,556,031,776,754,585,644,560,121,082,947,237,301,954,800,021,031,609,
343,442,593,467,854,325,922,872,798,482,569,450,648,443,584,813,281,514,381,
734,366,321,618,914,730,701,299,753,726,276,366,263,963,512,078,453,932,819,
552,399,832,983,062,615,635,662,627,978,091,320,829,584,554,149,194,401,680,
011,922,241,979,705,540,041,821,258,189,162,740,441,910,379,859,193,205,085,
511,406,967,513,578,515,167,569,210,196,192,175,480,182,033,321,045,852,855,
687,366,612,931,157,507,286,143,024,215,127,172,146,290,986,238,029,383,003,
319,950,884,341,227,078,670,064,903,503,151,165,777,518,661,156,591,832,344,
345,099,818,420,157,649,828,952,375,738,393,338,976,677,395,480,228,349,485,
551,978,927,744,828,518,691,965,222,769,813,006,131,807,922,457,771,467,310,
180,614,001,840,189,929,042,065,616,265,316,692,564,241,456,345,745,048,323,
081,662,169,103,630,248,226,842,124,921,376,035,459,319,580,450,851,372,430,
771,799,689,216,507,991,121,827,329,470,523,218,793,099,485,338,737,175,598,
061,194,411,649,527,897,510,237,094,581,766,989,424,219,590,918,105,836,678,
433,120,579,614,632,804,678,776,445,190,970,099,639,292,347,048,342,305,665,
856,316,622,544,527,872,012,687,011,399,703,291,213,693,217,565,157,969,900,
177,270,407,385,764,960,191,116,201,218,250,323,146,951,083,689,238,290,221,
188,333,660,455,043,114,330,066,938,422,932,674,382,213,887,345,405,360,496,
886,909,862,147,637,871,062,035,616,587,512,082,122,375,945,778,004,007,874,
388,902,936,202,613,479,211,083,709,558,107,284,812,308,475,481,738,990,545,
576,368,105,298,185,959,748,333,517,870,593,931,497,419,095,633,102,978,749,
241,753,759,473,482,945,057,312,862,476,271,186,702,179,146,806,257,264,522,
177,408,429,998,358,585,985,404,836,567,482,306,275,297,690,634,560,494,321,
901,952,243,613,040,137,999,115,120,570,499,254,911,575,218,633,019,957,210,
992,564,526,563,393,705,162,775,991,830,718,328,623,599,102,064,731,945,217,
227,050,813,411,106,291,542,027,487,539,196,507,380,626,908,902,486,569,128,
138,601,218,175,432,373,128,427,713,253,528,492,479,060,174,188,244,698,107,
054,629,639,167,066,390,964,141,058,589,978,971,405,253,917,051,417,233,564,
090,176,699,724,080,055,338,941,338,692,937,068,242,275,745,384,120,823,878,
384,301,197,685,720,186,420,843,876,009,774,389,916,119,170,791,518,576,337,
129,837,862,740,183,190,166,791,014,423,429,772,661,383,620,070,666,477,261,
513,547,811,564,449,303,888,692,930,937,765,271,374,066,246,851,005,203,808,
373,831,753,869,865,067,979,409,066,734,830,451,795,730,279,675,069,542,937,
763,475,488,575,771,433,303,759,261,186,288,816,111,754,992,502,094,156,039,
301,241,492,923,709,478,599,626,128,111,128,578,191,780,557,934,343,438,935,
064,866,202,560,006,846,617,653,354,093,168,520,520,099,762,800,806,272,835,
414,465,573,493,695,397,761,703,086,396,508,128,276,540,605,130,556,293,319,
866,086,957,373,323,085,189,903,411,349,492,451,538,362,240,312,261,418,521,
711,275,441,210,672,886,050,143,099,087,167,705,405,420,032,031,704,727,951,
016,501,698,792,091,916,533,150,205,215,825,130,833,340,970,093,790,239,412,
317,698,036,895,529,397,625,542,171,311,136,292,528,724,644,734,238,919,986,
111,229,522,768,826,737,870,602,104,502,129,544,423,938,264,562,947,451,373,
307,632,432,781,783,986,255,227,620,559,112,461,370,088,993,370,804,505,099,
966,647,851,496,468,728,446,445,034,307,869,681,125,446,528,438,977,873,960,
991,116,504,769,607,514,018,084,258,670,006,975,864,732,780,460,544,054,070,
007,024,847,993,229,483,075,214,922,149,166,954,941,250,198,848,622,971,799,
429,526,845,029,750,292,135,718,194,725,343,166,862,217,806,190,637,204,105,
030,992,992,798,681,448,790,301,785,365,479,062,221,098,828,762,088,040,334,
579,304,944,190,186,138,303,468,432,093,980,528,276,821,605,505,841,572,845,
301,678,311,812,288,789,558,598,403,405,081,914,808,086,506,624,072,709,268,
206,659,055,178,475,618,943,908,824,039,660,442,039,306,163,836,604,740,956,
622,491,912,780,309,172,585,223,136,863,952,138,247,051,959,863,169,191,411,
130,814,753,384,270,855,056,229,542,886,172,780,799,353,194,347,690,879,075,
773,586,610,542,228,302,690,897,329,175,918,770,526,617,868,120,042,341,937,
076,001,841,670,537,208,145,931,199,704,561,723,039,646,363,185,495,377,374,
295,256,783,164,036,746,316,505,396,390,066,783,855,046,710,684,764,684,637,
804,780,355,310,648,153,998,799,129,455,116,553,752,543,040,571,232,114,526,
212,881,262,670,369,526,075,400,409,540,045,173,790,126,226,932,713,607,035,
043,816,146,820,699,002,203,616,656,068,750,940,981,931,001,574,408,721,328,
833,130,235,724,305,245,401,405,595,794,780,787,640,448,280,278,271,862,008,
853,047,959,322,610,544,402,610,378,136,243,566,869,005,545,860,328,905,157,
688,384,610,967,264,945,642,414,741,880,076,002,827,416,426,501,312,263,280,
423,914,590,944,156,037,372,194,894,816,327,384,006,621,197,663,982,088,804,
078,570,407,007,959,785,109,904,707,787,127,859,860,059,637,461,443,451,759,
139,606,397,889,040,482,814,789,602,744,522,604,404,030,042,812,078,486,233,
217,985,067,202,479,859,024,342,634,642,794,059,543,383,827,351,469,198,343,
235,458,148,040,849,795,203,960,276,216,310,296,323,596,380,765,028,065,787,
764,464,414,388,439,040,884,006,281,241,857,852,343,640,210,105,508,719,306,
670,114,091,044,023,265,150,444,131,659,663,030,548,242,316,806,540,019,771,
438,915,238,744,113,726,831,601,669,232,722,080,471,182,551,294,987,411,221,
041,687,147,194,193,164,469,489,012,477,609,433,812,572,766,936,917,541,191,
829,074,059,477,393,622,288,658,876,491,459,554,869,997,762,942,963,655,300,
063,907,905,720,710,566,049,894,832,073,769,584,440,177,474,803,968,819,171,
164,954,494,457,890,568,301,842,114,691,022,553,107,345,459,495,992,779,235,
596,524,291,643,865,670,312,812,420,286,573,237,785,346,131,353,476,192,922,
860,938,431,646,645,254,927,012,034,661,049,036,487,083,760,252,510,971,701,
272,462,090,136,887,303,578,034,490,126,077,016,372,790,741,232,048,360,678,
139,625,888,062,472,012,307,347,828,279,740,629,380,877,025,960,876,619,492,
820,916,146,581,515,277,810,282,586,143,467,934,275,850,688,041,282,772,777,
413,347,864,959,565,003,291,112,043,451,102,598,773,161,089,560,106,348,578,
015,863,549,513,414,048,051,804,100,252,108,534,033,972,186,056,580,082,993,
375,369,325,905,064,146,337,965,411,092,422,535,648,623,596,238,491,212,195,
976,113,756,410,897,817,538,253,085,835,007,173,035,144,574,231,307,970,934,
657,103,012,718,536,841,668,970,541,635,680,974,854,995,283,475,652,782,096,
215,202,744,587,024,575,200,243,901,077,681,951,221,477,203,740,248,689,075,
177,530,975,564,435,262,522,163,536,130,775,954,946,590,117,716,741,576,128,
393,510,236,302,741,021,422,437,576,614,623,766,883,590,716,559,432,671,087,
414,788,258,702,302,795,850,873,090,133,185,942,070,084,495,167,473,927,570,
055,043,148,893,727,924,352,317,064,273,918,612,490,869,804,850,037,118,992,
616,331,232,641,202,019,890,405,404,058,170,911,698,541,646,187,416,258,744,
267,547,056,780,290,478,569,991,791,737,196,241,790,089,089,226,062,851,279,
061,864,775,553,514,169,703,359,287,625,840,762,580,646,339,414,893,338,547,
616,903,236,334,089,804,977,546,791,470,978,616,037,354,127,699,753,614,664,
708,336,042,608,173,377,961,738,473,254,217,027,299,698,336,932,803,905,491,
871,073,862,285,150,790,379,312,712,913,484,049,830,670,536,089,262,551,228,
155,737,975,781,118,221,093,465,768,673,692,326,149,267,205,147,400,540,963,
730,466,202,535,069,863,372,546,359,312,764,566,349,404,164,833,723,584,184,
846,829,837,203,049,351,601,194,418,577,313,895,313,733,629,653,919,032,922,
250,649,891,328,314,038,773,942,260,626,691,760,459,469,102,415,013,653,988,
580,341,363,143,205,633,689,150,560,630,718,201,611,218,800,213,512,403,997,
950,756,440,572,368,520,245,224,135,738,245,104,959,952,180,755,422,646,145,
327,081,643,669,403,033,908,785,012,515,893,327,757,918,335,852,302,556,323,
899,268,802,368,861,757,990,317,658,351,968,414,439,404,578,927,678,513,929,
780,570,229,236,532,494,644,230,047,194,394,336,593,673,134,358,074,767,662,
385,248,510,858,605,815,029,694,192,621,970,389,361,203,409,237,716,559,127,
822,288,029,499,847,645,233,072,024,061,449,857,189,269,289,536,055,488,369,
457,955,028,927,658,731,854,201,019,056,192,124,000,318,850,622,227,353,306,
746,051,062,162,418,332,281,877,139,928,659,412,057,759,732,246,118,563,487,
992,151,853,894,435,895,424,256,311,464,983,892,369,502,680,848,152,966,158,
246,663,180,495,432,069,358,749,386,525,275,346,865,029,688,055,243,655,764,
868,825,286,294,416,368,136,372,247,560,900,927,501,742,704,245,723,525,886,
007,534,487,098,979,297,177,156,154,018,581,156,901,861,426,655,647,151,315,
188,641,827,089,338,047,855,109,071,255,042,470,697,010,240,569,397,605,685,
666,806,666,801,729,935,643,082,014,755,043,432,629,342,356,366,386,847,803,
458,461,279,252,319,780,298,159,141,672,060,120,601,885,378,058,737,875,713,
328,642,807,294,577,599,329,633,914,336,029,425,066,090,773,324,146,943,737,
029,200,389,870,362,055,004,464,118,366,464,075,994,985,352,404,361,876,423,
630,086,408,601,800,462,447,098,151,910,469,881,321,630,638,990,518,687,703,
879,973,497,917,162,392,634,760,714,933,072,250,816,845,305,254,374,181,425,
912,790,332,424,190,501,234,326,381,387,484,539,548,294,164,373,485,511,216,
905,225,562,176,260,444,515,250,216,491,137,282,890,035,740,490,654,019,986,
690,054,964,746,793,221,653,070,825,814,047,636,426,183,714,817,345,790,323,
973,130,894,058,047,094,937,127,302,549,603,365,019,054,629,209,221,070,865,
347,880,882,307,616,343,371,780,241,808,458,484,584,084,416,318,678,550,615,
941,908,257,002,133,778,343,856,934,021,261,460,841,691,556,818,102,178,047,
127,433,518,108,405,698,478,728,777,520,129,765,904,449,035,798,872,240,226,
044,479,543,380,161,422,224,165,303,056,586,467,476,010,135,317,470,418,377,
170,185,630,427,668,710,858,966,599,307,030,712,155,364,053,205,641,301,442,
685,259,548,937,484,116,621,295,974,325,716,800,360,292,575,140,259,265,456,
363,238,148,656,541,781,083,854,854,779,438,844,246,906,577,469,163,052,522,
546,964,010,586,969,119,288,579,430,380,142,234,680,751,627,490,123,438,894,
565,563,895,697,583,408,370,566,967,291,603,586,505,146,199,049,691,652,867,
608,438,594,961,471,949,920,018,765,091,542,858,051,363,630,416,123,655,553,
931,089,936,462,651,718,333,700,111,837,172,382,529,622,816,320,359,208,093,
118,875,884,967,214,936,008,668,647,137,308,638,265,527,838,246,625,329,098,
246,649,104,587,200,173,768,436,343,653,668,911,262,339,426,231,883,012,481,
585,038,363,305,417,669,631,443,372,819,405,129,013,779,680,047,150,528,759,
178,455,105,398,399,567,839,121,268,897,444,619,749,971,140,360,041,692,462,
493,090,300,770,915,117,307,836,645,388,797,854,975,397,574,019,473,952,470,
091,339,725,772,060,011,784,786,557,635,141,266,047,676,041,290,980,393,173,
597,189,366,120,083,477,800,465,228,387,723,931,566,447,630,487,898,850,747,
371,720,279,420,462,445,439,126,664,253,460,223,151,556,028,741,560,253,463,
624,019,655,114,545,086,788,085,827,219,748,476,644,003,372,400,945,522,392,
301,105,403,714,697,744,853,782,901,003,989,308,859,953,414,375,525,560,147,
834,030,159,732,047,930,667,283,474,590,095,290,806,241,314,507,567,857,047,
406,114,572,695,686,125,591,958,099,410,211,947,835,126,840,133,594,239,990,
517,693,249,093,715,127,265,341,559,719,159,005,615,959,921,252,082,996,874,
908,810,344,622,646,814,975,017,618,097,140,679,585,203,386,434,119,772,962,
218,964,363,582,462,114,904,548,565,735,963,235,053,974,784,705,400,086,920,
973,591,640,831,815,051,622,382,416,090,616,871,568,847,512,063,804,830,742,
894,553,237,535,392,647,107,560,603,816,946,435,492,115,880,244,075,318,914,
710,160,054,365,877,169,517,331,886,863,455,565,401,416,697,474,218,190,712,
103,323,611,759,286,799,678,870,678,777,338,773,908,502,347,515,712,148,002,
921,501,349,458,624,644,682,014,779,049,773,224,193,487,125,889,950,725,347,
232,620,257,999,845,997,424,910,582,975,786,119,450,671,812,323,277,488,972,
200,753,372,394,801,688,624,685,470,392,888,333,503,177,493,729,827,766,428,
682,741,251,715,099,574,677,358,625,438,577,147,540,260,117,608,866,467,880,
567,069,765,204,724,376,893,151,588,199,056,632,563,649,154,966,432,692,875,
201,707,067,136,025,432,293,238,389,292,456,382,453,367,501,883,744,963,161,
108,005,258,285,304,493,491,808,369,739,438,148,153,050,739,576,005,493,422,
193,821,586,849,277,438,856,043,068,972,858,890,189,174,537,682,523,472,572,
768,188,685,531,455,152,829,595,289,129,602,177,109,542,352,496,252,720,051,
684,533,701,192,147,301,676,590,157,302,978,005,566,414,587,605,944,889,527,
069,377,889,535,772,684,554,574,066,110,555,208,916,141,898,746,791,783,897,
821,530,366,074,677,858,955,800,567,305,977,169,864,778,708,018,495,332,369,
591,301,909,476,046,342,471,842,953,521,220,423,719,837,798,919,253,130,989,
584,693,067,703,033,681,196,955,820,814,970,677,771,562,492,542,456,652,942,
070,807,649,766,299,448,570,108,832,617,017,232,864,861,079,642,377,648,691,
341,053,621,470,987,020,772,766,469,428,687,559,006,208,979,406,545,937,863,
967,688,918,307,874,652,717,545,883,854,751,346,091,150,554,787,883,105,116,
068,693,052,851,011,061,928,987,162,909,619,208,044,666,099,046,950,064,830,
696,767,086,166,753,755,919,950,134,252,347,863,271,163,119,971,356,510,763,
790,868,545,017,227,867,822,987,168,998,893,603,445,078,320,668,090,264,812,
138,207,991,949,882,658,233,588,043,509,919,954,803,164,357,281,235,393,000,
654,871,307,236,390,491,925,148,143,350,676,628,872,551,058,284,588,820,888,
301,991,964,342,884,216,050,157,625,149,375,927,033,525,741,881,836,927,523,
503,349,721,839,397,456,678,533,698,690,653,619,883,391,154,302,998,897,067,
666,478,686,065,953,304,024,350,840,628,724,218,189,039,287,551,837,704,468,
528,156,937,162,820,314,026,670,265,762,149,044,025,099,945,202,172,865,703,
138,860,580,418,102,468,099,652,244,556,895,627,354,056,433,975,374,344,686,
362,278,519,445,527,288,099,736,632,293,964,298,933,114,033,809,767,929,668,
832,759,385,313,839,750,329,176,932,189,692,591,084,175,043,920,034,002,593,
820,797,013,483,828,249,228,949,305,511,584,361,835,007,747,385,695,398,131,
063,255,499,306,551,160,498,862,450,097,791,817,602,462,241,895,453,694,316,
049,460,686,261,206,485,670,127,691,192,239,733,372,711,082,175,004,105,200,
053,431,386,461,758,499,415,249,813,696,388,927,778,637,119,563,635,889,020,
098,162,549,578,609,558,616,424,295,155,769,242,940,709,854,096,573,589,814,
727,169,504,864,862,853,377,216,304,722,191,512,817,482,419,793,588,005,821,
861,937,591,754,915,229,308,400,762,810,906,009,937,426,996,985,001,387,374,
719,362,250,561,529,425,667,024,012,483,208,629,630,162,919,975,715,968,795,
721,216,903,144,542,493,705,014,912,074,792,598,872,672,532,501,050,231,080,
884,471,704,001,144,939,253,782,643,009,192,044,729,118,697,980,162,536,382,
325,561,935,618,749,806,773,866,944,772,505,071,616,120,445,406,629,103,491,
778,826,898,557,270,378,064,305,526,932,570,715,058,637,858,071,320,390,213,
937,190,224,870,808,440,593,802,745,099,358,734,352,731,407,631,556,137,736,
112,275,458,788,728,697,718,303,067,699,331,144,113,363,089,518,359,635,298,
720,375,550,359,989,749,689,592,655,014,647,974,530,062,967,593,036,662,923,
122,662,094,947,008,887,084,202,948,804,567,433,518,204,982,606,869,183,630,
266,137,749,335,251,338,283,101,945,184,841,539,296,378,997,717,274,354,472,
746,283,668,814,809,741,539,068,033,948,260,490,906,712,704,192,571,678,003,
777,376,573,842,374,479,429,844,041,709,030,603,328,762,514,247,239,018,246,
152,116,376,880,594,320,213,178,449,526,397,472,879,233,399,380,291,411,294,
056,671,166,078,120,535,916,601,745,759,522,871,621,879,009,379,524,679,484,
658,504,521,458,299,719,631,562,896,794,569,722,115,676,587,580,472,157,017,
879,403,623,992,741,955,738,262,024,489,638,776,733,067,673,910,017,987,796,
636,604,193,112,906,259,171,773,690,268,821,584,655,579,913,009,290,875,680,
936,768,681,226,313,027,047,145,341,522,526,941,302,061,268,259,216,037,318,
143,814,497,244,332,867,126,612,890,631,397,231,809,044,657,024,392,068,581,
685,131,137,451,240,297,305,471,568,285,004,877,472,611,093,587,890,218,841,
106,393,385,334,328,151,930,377,642,319,129,847,439,122,267,110,442,569,789,
866,773,197,196,926,125,798,064,176,513,891,625,153,953,610,281,210,654,093,
776,144,297,916,379,003,786,747,312,596,316,347,131,351,662,708,757,689,535,
637,291,791,804,965,439,069,304,591,680,385,710,132,668,145,291,056,600,535,
777,216,943,066,407,348,129,685,750,887,456,035,730,642,693,405,371,686,996,
497,304,901,081,663,518,247,132,070,772,923,522,120,019,045,420,108,415,029,
866,773,835,668,381,088,053,483,406,796,631,680,457,453,271,176,700,268,740,
528,989,747,196,687,592,536,101,896,751,055,226,320,039,613,191,664,622,724,
058,443,835,019,741,751,396,549,777,743,258,124,730,087,765,417,992,301,523,
301,201,117,529,804,723,042,995,957,026,265,604,797,137,384,746,852,658,395,
817,117,643,165,354,210,015,971,011,268,956,848,632,805,280,117,510,679,696,
491,968,789,105,249,716,440,937,196,563,302,044,350,446,575,460,244,998,027,
515,868,593,654,096,499,635,267,534,712,125,060,437,779,330,297,711,996,272,
706,631,980,999,219,867,034,006,039,284,999,210,041,200,298,634,447,864,689,
407,996,176,640,071,106,604,364,952,674,568,134,816,239,875,359,795,136,934,
067,335,897,635,992,048,254,458,050,329,446,821,774,256,085,073,019,516,804,
079,530,180,536,549,720,930,903,224,410,784,604,340,175,167,939,461,755,754,
282,875,572,932,800,131,758,320,603,815,769,861,350,171,627,867,668,946,568,
205,137,440,895,729,162,350,543,362,017,811,015,649,346,789,008,565,089,072,
895,348,141,064,022,782,544,347,842,029,449,016,140,489,816,176,241,254,951,
801,883,181,610,585,646,061,296,430,738,377,663,421,347,892,682,830,115,421,
554,677,416,125,631,878,043,610,521,769,148,828,432,640,512,284,646,607,183,
758,547,629,836,578,395,816,436,148,320,736,991,263,279,089,037,104,884,314,
327,683,103,906,326,358,814,663,271,107,758,490,021,600,513,397,268,317,519,
040,018,606,343,284,597,655,998,598,471,986,775,079,074,744,940,804,712,646,
230,945,165,951,148,737,682,199,043,510,778,321,800,391,548,381,000,871,977,
868,166,449,015,570,772,474,604,238,496,645,368,553,528,286,930,417,717,150,
466,725,874,977,906,386,589,570,573,313,468,020,866,044,941,812,960,850,903,
027,625,407,743,202,765,024,301,281,340,897,276,422,700,278,028,635,319,941,
270,452,907,518,726,120,704,080,352,222,569,131,778,863,500,223,307,414,993,
890,082,935,389,890,421,578,772,992,322,817,411,665,357,443,041,158,405,887,
240,484,097,328,314,162,126,934,673,111,711,750,394,744,205,197,710,753,252,
080,084,327,398,144,196,964,127,798,211,720,562,999,796,459,785,754,674,929,
661,445,230,041,982,149,004,017,371,002,872,388,462,625,128,551,132,306,300,
670,155,829,621,051,606,728,369,976,714,271,175,442,173,947,992,021,937,738,
615,269,679,727,626,746,610,105,637,194,023,553,117,300,062,845,738,265,981,
827,131,292,578,036,355,098,467,634,311,545,855,744,926,179,108,555,707,642,
015,772,257,379,409,545,870,824,778,996,758,411,404,335,861,696,194,957,469,
695,246,252,850,636,483,252,407,480,360,816,860,961,983,144,077,980,972,926,
321,578,010,464,451,525,363,910,706,700,206,666,787,528,815,802,445,715,045,
327,577,059,223,405,212,708,391,316,278,479,145,276,869,533,854,867,876,893,
204,948,410,868,178,748,402,051,701,317,804,314,386,965,480,616,693,354,509,
207,904,105,610,174,704,416,199,594,799,109,478,922,817,281,671,543,166,206,
188,391,840,650,767,522,613,908,243,604,621,013,326,252,487,145,647,630,913,
230,797,425,396,989,425,353,072,228,161,373,802,389,079,411,554,755,123,860,
785,061,298,408,443,275,156,019,109,017,107,742,493,255,028,214,373,972,085,
007,623,757,090,790,619,679,471,576,427,174,709,634,944,384,247,083,034,391,
034,826,819,750,718,650,737,367,909,144,594,737,325,825,534,899,676,401,880,
694,388,635,760,800,332,383,406,792,692,566,451,293,731,154,340,859,502,555,
959,082,846,467,810,332,395,977,840,744,845,883,201,054,662,729,528,140,697,
960,472,568,046,229,732,597,994,857,972,270,606,903,442,006,849,791,214,001,
291,904,475,862,508,306,758,856,468,366,181,004,594,434,623,741,874,795,354,
855,898,837,834,618,080,763,980,289,068,887,182,623,352,038,564,336,472,524,
669,553,230,979,761,739,716,985,584,555,910,067,690,594,113,657,505,337,768,
452,184,616,540,622,007,698,016,648,877,759,852,377,190,363,966,994,521,713,
130,753,236,983,782,221,507,715,033,097,422,335,858,619,793,646,833,707,504,
386,329,638,902,069,019,270,531,680,982,710,914,455,118,718,454,975,182,456,
058,148,742,772,907,471,489,131,444,672,897,014,795,614,603,987,517,672,879,
506,241,322,953,319,648,420,040,847,619,672,237,469,474,506,420,698,042,715,
446,301,141,523,100,668,395,730,380,777,936,940,491,806,924,480,994,800,116,
290,445,021,956,353,398,942,634,994,606,956,283,177,123,197,820,559,396,451,
991,388,975,918,668,558,842,389,622,324,779,016,139,373,378,385,744,857,686,
380,563,134,049,729,104,196,675,450,462,348,069,381,004,482,201,740,701,665,
207,273,320,258,144,629,704,059,544,369,921,791,106,538,525,555,369,907,972,
300,987,225,513,740,647,292,670,382,561,393,770,512,012,449,589,923,393,154,
970,915,315,690,125,231,452,889,947,580,919,328,010,172,802,198,786,423,078,
018,010,513,160,809,389,966,230,848,645,817,491,144,428,222,811,191,848,994,
660,534,768,485,952,853,504,629,718,868,308,344,336,122,826,399,774,313,087,
440,571,013,239,834,186,864,527,529,979,674,053,170,999,131,925,594,256,805,
546,347,197,472,114,398,716,179,833,881,205,862,406,392,680,961,137,267,033,
442,547,493,976,724,912,802,210,728,296,515,974,302,052,910,920,032,691,333,
180,973,946,047,134,527,053,225,130,555,087,429,014,588,761,999,057,873,588,
725,517,892,991,070,648,076,934,371,726,124,290,386,309,395,146,193,654,159,
453,474,309,592,981,708,736,795,381,889,268,536,713,825,650,949,670,744,177,
661,760,221,642,635,032,912,917,429,079,000,509,190,366,867,785,207,926,083,
652,355,857,834,810,023,874,122,849,225,226,376,065,876,356,621,047,531,833,
229,972,538,127,979,010,482,369,723,909,991,186,852,622,511,610,969,541,591,
012,669,287,512,928,167,961,155,913,659,461,265,429,597,275,006,899,608,889,
185,763,048,334,528,524,220,251,313,199,063,012,842,892,126,296,234,143,216,
816,854,414,789,015,617,292,674,770,632,068,456,732,896,459,930,801,885,345,
118,486,539,872,057,968,401,800,337,308,654,915,369,503,723,653,524,685,251,
599,996,506,955,568,298,896,074,934,760,444,773,263,617,864,608,036,963,322,
084,944,164,250,978,954,658,015,154,392,669,320,541,735,931,294,277,233,532,
210,430,933,090,877,634,026,640,949,142,546,476,240,060,056,293,692,028,957,
388,901,581,031,705,121,458,644,772,350,624,534,848,918,759,553,093,254,733,
259,984,735,139,426,473,253,838,792,822,921,105,513,992,220,094,566,729,788,
085,968,786,921,134,702,002,608,434,404,818,768,814,894,657,683,528,757,208,
799,740,569,928,968,288,837,056,419,096,431,575,374,177,978,993,177,230,194,
239,704,001,208,768,045,731,989,457,559,539,412,573,849,188,969,184,899,218,
241,421,285,214,125,077,799,359,314,003,775,980,911,837,216,884,919,207,483,
335,273,799,461,589,082,442,237,361,742,302,471,411,952,682,654,051,309,194,
679,343,008,524,740,752,065,845,341,870,380,771,904,060,334,046,141,365,256,
410,774,618,946,616,742,545,946,496,165,306,143,787,076,352,084,875,712,670,
873,471,682,632,475,184,898,570,413,102,019,581,564,950,523,548,870,200,110,
502,014,463,716,840,313,930,358,856,176,939,392,435,634,868,213,510,175,596,
683,093,569,002,708,924,339,955,689,263,002,971,569,676,604,227,133,946,251,
270,227,082,484,002,003,274,593,322,684,612,101,551,112,737,924,268,078,838,
034,905,710,830,158,175,947,367,551,543,929,572,043,033,289,737,031,449,842,
135,463,571,432,502,325,556,785,680,696,802,143,233,170,184,842,582,597,706,
200,531,185,248,430,374,925,580,303,495,961,706,982,581,096,670,101,550,271,
427,411,933,765,702,071,158,437,891,100,030,916,059,999,870,006,865,439,390,
082,409,670,723,571,575,394,456,852,470,126,310,559,257,974,382,760,296,091,
076,600,416,496,378,899,032,428,494,704,715,287,448,178,208,336,175,158,730,
565,539,118,154,498,825,565,095,563,570,280,197,230,785,933,397,813,529,296,
045,611,635,627,381,393,778,824,895,721,264,632,409,300,836,361,800,291,543,
383,974,087,235,425,924,041,393,388,499,814,181,275,077,030,326,090,344,772,
615,864,888,077,367,888,293,482,646,766,206,082,525,460,586,106,553,817,558,
817,360,749,259,427,627,373,230,403,208,284,006,391,395,506,522,521,847,664,
075,626,201,455,657,253,826,205,453,822,381,935,791,316,468,400,442,067,702,
751,769,438,484,839,717,916,310,417,328,285,024,072,211,927,918,929,581,998,
315,238,769,703,009,999,632,705,499,643,914,197,672,324,244,438,878,372,501,
288,240,173,871,094,113,475,472,215,297,087,882,315,038,859,996,325,331,590,
637,717,205,050,473,493,458,526,774,584,755,499,648,228,860,238,403,715,301,
203,783,284,713,256,931,633,544,299,735,422,975,159,007,035,417,177,753,637,
119,513,650,634,681,650,443,637,549,180,869,083,885,972,953,846,400,316,798,
930,769,080,522,286,857,456,691,865,495,817,362,788,859,292,012,681,056,590,
224,495,802,544,249,014,547,126,204,514,017,851,565,658,759,359,688,802,475,
599,335,671,834,462,865,129,708,193,381,235,860,780,066,268,172,265,793,577,
189,214,236,901,552,775,661,816,412,400,467,305,244,726,855,139,600,093,407,
208,247,945,830,507,952,425,025,148,518,397,867,970,674,526,596,079,023,979,
274,020,102,130,305,977,090,083,365,541,134,447,262,253,072,572,465,591,586,
640,327,367,060,934,442,990,717,999,876,666,821,568,981,468,810,788,749,172,
999,809,532,306,135,252,346,623,095,666,050,635,824,214,585,887,527,612,539,
417,208,481,707,606,561,037,712,989,378,518,901,566,170,825,311,958,572,948,
485,081,930,724,608,192,754,773,677,027,254,714,156,577,461,658,425,255,744,
237,759,050,304,896,945,615,441,942,432,268,109,465,326,517,465,952,548,192,
930,109,140,716,266,404,843,744,540,244,823,911,069,299,581,889,551,809,557,
835,615,608,230,274,586,313,335,622,294,361,170,368,275,461,865,138,247,664,
274,940,614,725,200,207,997,310,169,696,112,815,068,401,709,647,472,508,661,
929,349,809,201,558,316,166,572,250,885,875,611,582,560,382,941,738,541,650,
227,188,896,400,323,426,315,562,632,771,499,171,626,590,428,176,050,451,263,
675,563,944,332,710,003,729,014,043,532,254,071,048,393,091,273,225,592,441,
567,069,298,620,726,685,380,198,346,022,764,186,921,087,492,860,065,736,480,
148,358,571,535,881,343,984,084,856,905,765,341,023,668,565,844,363,920,885,
451,689,451,080,801,204,011,379,280,343,666,320,965,837,973,050,597,746,337,
144,098,611,994,223,203,446,547,273,476,815,037,368,473,402,885,344,580,232,
068,069,552,131,122,273,289,036,508,255,344,547,979,432,967,910,299,681,332,
063,373,225,044,430,526,642,657,159,267,804,400,155,069,554,939,326,849,206,
413,836,613,822,401,827,351,722,239,159,184,131,837,654,072,037,318,922,805,
746,188,012,929,376,559,539,601,927,859,921,654,767,675,066,946,484,803,245,
733,564,272,180,466,132,724,754,763,386,374,169,912,922,061,974,273,135,001,
301,417,713,023,173,992,020,839,837,793,541,151,413,871,356,339,883,975,968,
272,542,491,014,423,218,256,018,152,061,203,879,305,115,231,994,844,829,865,
375,467,471,846,991,008,364,825,939,897,413,504,706,143,543,136,785,864,320,
240,983,598,474,811,084,865,722,233,655,620,356,090,801,206,083,999,277,190,
843,277,740,358,607,347,747,251,656,095,599,132,025,328,679,358,893,438,237,
527,487,743,651,765,482,786,600,163,227,780,805,415,155,812,306,206,928,174,
315,452,700,438,694,995,777,100,732,885,041,738,145,343,562,396,853,204,393,
157,290,335,496,079,134,952,258,224,338,357,925,217,126,615,088,018,738,988,
908,962,825,351,697,717,554,492,939,253,634,183,349,045,831,917,804,094,433,
307,839,575,401,393,078,918,004,606,063,821,539,754,283,063,315,809,567,257,
347,550,927,177,642,013,045,931,332,439,010,234,360,764,130,467,142,382,806,
063,623,690,288,364,886,577,579,077,237,049,945,327,214,927,631,205,123,603,
734,727,022,455,962,066,889,332,191,173,396,290,003,277,875,724,890,522,161,
271,746,503,377,879,893,493,656,722,657,459,148,132,465,859,703,840,687,330,
588,685,722,752,099,319,175,413,807,886,640,389,017,506,371,473,109,092,330,
301,645,855,163,771,542,969,191,107,669,006,684,481,721,745,484,978,524,344,
145,728,766,886,873,587,938,163,239,765,582,497,770,911,302,247,698,301,796,
600,187,880,325,344,545,903,047,917,429,300,648,561,142,755,170,465,648,309,
455,828,710,225,202,804,075,583,433,964,598,914,748,373,945,645,908,677,404,
413,224,467,901,758,963,542,663,232,417,945,114,266,307,510,548,517,235,504,
636,373,318,664,907,901,544,417,660,224,909,868,720,748,770,363,965,117,916,
286,173,049,205,128,784,104,722,261,733,580,692,666,621,615,171,475,630,831,
326,554,879,218,182,355,976,144,247,317,445,795,542,484,627,696,134,637,940,
578,713,400,034,829,026,251,757,675,167,545,771,456,478,506,361,131,390,281,
963,373,010,003,086,283,706,468,493,717,327,851,219,213,669,922,541,010,027,
545,162,284,278,030,816,081,738,275,430,832,791,417,661,541,636,446,248,827,
829,761,616,716,396,951,311,773,873,345,067,521,750,665,679,966,029,556,238,
578,486,294,091,437,004,960,741,799,203,680,388,852,201,917,600,246,657,966,
274,061,729,419,604,222,346,173,229,647,926,290,063,630,516,663,020,567,119,
901,355,520,535,326,202,383,207,971,252,964,417,423,173,430,598,160,898,456,
929,284,405,163,608,302,154,581,617,849,397,548,890,682,660,019,758,556,889,
376,569,748,281,212,686,669,830,458,581,306,993,325,658,825,346,458,562,025,
614,385,924,203,266,726,029,336,373,641,702,043,279,972,044,478,980,391,101,
050,558,172,078,694,330,829,647,860,592,303,286,132,440,468,065,753,402,888,
774,656,577,103,098,245,123,528,187,388,119,529,108,043,625,812,482,521,250,
677,059,304,466,906,176,823,086,007,643,920,090,617,300,572,885,691,749,370,
542,298,677,028,395,747,241,795,722,187,748,637,569,133,080,774,787,720,255,
955,736,790,082,514,617,594,052,204,466,347,501,373,731,429,532,095,237,747,
341,198,861,886,904,520,360,233,011,495,239,386,857,992,702,274,015,361,078,
243,337,121,559,769,235,083,336,854,099,631,333,596,615,971,211,717,735,861,
329,059,961,032,778,974,234,312,895,725,792,796,354,560,153,571,245,331,616,
164,454,296,213,632,919,972,925,919,863,220,188,755,863,012,063,982,820,967,
332,443,939,606,655,191,032,921,689,099,185,221,471,795,159,324,480,021,189,
382,624,567,336,277,882,580,559,097,555,485,532,366,040,770,067,497,599,542,
386,301,231,911,426,578,123,662,978,044,223,204,170,140,884,122,384,693,283,
412,153,514,169,333,865,010,421,621,378,588,685,026,918,277,983,897,111,789,
942,268,719,686,867,891,226,020,361,330,175,232,703,825,943,909,364,475,861,
893,950,208,986,951,364,946,281,054,579,170,784,357,450,549,152,530,987,891,
062,577,280,315,515,790,589,968,604,570,879,242,158,173,536,060,851,902,050,
131,935,747,755,981,989,840,205,163,367,718,948,746,584,170,969,595,629,119,
286,793,269,519,887,145,646,762,666,251,052,549,869,593,192,105,219,820,606,
918,226,752,439,088,062,687,434,631,519,218,851,793,625,141,924,522,271,048,
049,122,667,329,731,930,112,145,181,345,955,390,349,750,214,069,967,507,438,
465,281,560,362,502,773,604,826,853,349,462,437,594,537,444,019,406,762,916,
160,435,720,087,311,894,707,553,704,442,550,094,049,559,689,351,616,023,087,
663,588,823,766,919,775,732,638,302,846,769,598,711,476,335,620,669,856,251,
127,835,981,749,292,090,544,528,035,712,126,184,438,215,925,099,334,832,011,
731,786,092,947,748,552,215,512,469,141,719,587,098,130,454,854,575,330,788,
212,198,070,646,420,815,291,408,284,857,039,707,373,159,781,412,144,579,505,
210,640,108,380,002,558,555,292,284,201,459,618,607,275,687,523,179,954,095,
892,378,230,908,399,090,625,959,667,240,717,691,494,205,513,663,689,097,517,
812,539,900,732,103,101,342,547,088,480,093,747,448,474,453,559,673,043,925,
639,662,318,822,358,274,982,580,869,256,208,712,462,907,509,688,183,109,306,
361,661,850,277,077,159,164,052,235,782,913,990,474,113,354,000,189,960,435,
876,143,552,655,766,844,954,110,159,364,076,295,071,403,788,678,665,158,463,
367,819,344,537,470,789,704,878,814,035,136,820,270,414,647,171,575,689,659,
160,730,334,314,644,844,359,341,450,470,806,933,743,512,506,433,875,996,172,
852,606,682,356,994,547,248,533,196,785,894,265,887,168,603,999,281,652,684,
046,880,014,883,062,470,255,726,066,592,328,335,496,394,895,143,341,849,362,
008,922,004,418,118,862,447,335,784,198,315,972,137,033,153,083,655,356,003,
904,117,458,275,881,485,405,579,074,524,900,308,403,168,235,965,424,476,164,
277,247,681,517,509,660,930,289,381,832,828,509,772,191,511,380,171,780,363,
596,261,144,533,249,028,477,687,910,076,465,727,113,470,656,938,481,605,368,
584,404,801,632,852,449,413,350,733,985,810,750,443,327,735,901,277,153,272,
509,494,523,547,404,869,489,666,993,880,127,536,796,424,340,700,416,285,096,
627,760,570,084,008,080,936,578,169,406,601,445,829,027,719,201,581,408,963,
899,503,151,768,550,126,304,042,573,057,494,737,388,854,773,389,794,968,576,
558,517,713,438,634,271,605,500,640,213,981,251,086,117,565,121,805,319,591,
050,019,457,944,878,052,488,278,529,568,183,603,891,935,395,329,484,369,413,
632,424,429,609,885,245,784,660,342,416,388,185,021,905,296,627,937,179,322,
868,936,895,075,224,121,331,463,025,935,760,404,103,679,178,492,601,103,863,
356,226,018,258,482,554,941,753,729,003,213,193,053,912,815,149,982,698,639,
322,021,708,090,544,481,117,417,275,109,074,035,078,914,361,078,485,411,875,
410,481,401,111,284,048,336,825,823,539,369,840,154,765,759,171,320,173,940,
316,762,671,548,348,770,106,002,043,987,179,704,251,548,559,329,677,913,899,
556,312,797,472,467,978,833,696,239,259,488,175,437,390,662,088,213,789,534,
769,098,833,727,382,041,672,223,554,898,681,353,087,563,576,061,402,932,235,
186,652,097,369,147,208,853,632,761,250,684,890,537,448,853,670,577,861,583,
351,103,179,296,604,952,184,077,180,506,387,142,808,468,982,731,004,511,544,
259,482,229,929,351,625,030,461,697,637,727,839,240,564,695,524,261,388,920,
951,119,554,409,118,677,141,469,600,113,143,810,750,400,046,766,495,616,172,
724,793,283,026,698,756,420,928,327,063,198,958,064,540,014,945,649,155,630,
225,578,077,553,852,840,937,009,528,777,924,311,756,963,664,271,145,347,614,
871,267,934,066,364,654,465,306,663,826,273,508,166,597,222,322,151,150,193,
904,228,169,212,020,681,295,916,525,479,000,557,695,569,787,958,165,646,086,
016,569,498,149,132,229,728,885,669,093,925,181,323,526,913,642,580,736,663,
392,226,920,289,827,266,732,052,119,425,184,902,482,118,880,756,913,878,165,
574,503,879,404,123,177,630,418,986,320,226,407,343,925,415,246,529,077,174,
248,014,487,930,673,163,197,239,619,255,985,659,293,867,621,242,875,881,457,
101,877,856,113,074,757,068,920,492,608,888,286,176,564,561,168,772,493,708,
084,257,182,748,593,782,984,953,821,591,445,537,510,902,014,219,115,369,123,
175,331,306,144,990,888,399,519,149,828,565,047,146,295,291,752,902,598,255,
798,017,600,330,435,327,967,860,478,723,031,775,414,827,269,466,005,787,092,
036,011,988,241,117,159,343,493,487,056,166,133,154,793,935,675,038,577,995,
411,329,091,594,738,647,407,372,981,419,785,866,224,699,332,915,871,926,932,
480,290,531,289,662,971,027,106,625,578,365,412,006,335,842,784,915,273,944,
500,323,843,244,198,890,193,945,487,610,364,703,255,300,895,756,546,621,433,
958,543,552,904,052,397,713,960,162,208,357,384,877,260,350,949,371,340,697,
873,412,299,053,651,352,561,976,017,832,106,188,170,877,801,634,800,593,349,
000,619,578,416,037,104,508,643,065,282,626,379,864,464,834,256,082,459,427,
916,419,312,254,966,538,922,062,478,212,200,797,506,793,080,842,152,737,478,
774,296,379,179,559,757,179,774,001,794,153,722,622,696,707,117,328,224,099,
740,322,986,570,319,623,235,517,839,732,104,431,951,409,334,225,278,073,421,
150,929,790,115,866,230,152,477,697,147,028,949,349,312,484,490,147,811,838,
286,406,935,912,103,802,057,583,584,080,319,275,732,415,279,402,233,483,153,
881,508,580,049,426,641,542,285,000,440,733,475,603,307,102,946,079,532,824,
602,481,024,567,998,661,366,513,879,514,086,847,127,837,942,485,671,732,042,
203,993,958,927,530,469,719,717,580,087,642,012,376,610,571,560,791,504,598,
098,798,749,346,697,642,026,240,650,251,047,466,067,730,762,759,534,554,711,
094,435,392,496,759,904,272,584,620,124,168,249,889,305,585,315,731,709,643,
911,170,549,489,742,345,570,994,724,694,542,348,238,394,138,053,795,454,288,
173,999,460,456,746,504,209,574,660,728,518,929,474,301,333,794,359,795,912,
724,259,266,616,009,121,965,969,146,653,055,936,883,333,944,076,707,738,085,
956,928,167,442,277,001,440,126,709,792,628,179,454,885,194,418,084,555,984,
186,256,132,407,519,335,842,945,428,997,180,266,852,285,733,102,532,536,653,
558,598,319,940,212,964,881,263,671,348,443,180,316,568,786,220,964,054,680,
910,501,120,348,768,708,898,619,071,350,503,330,091,350,575,074,949,406,177,
447,189,658,296,711,640,924,406,176,301,781,444,668,698,253,866,507,501,138,
009,856,104,545,010,484,704,803,852,793,154,902,268,869,281,114,391,331,774,
350,273,577,421,858,657,039,062,681,410,962,295,259,473,319,033,844,513,935,
186,122,619,868,524,925,937,501,113,717,727,747,628,166,912,263,342,659,079,
922,331,796,206,726,972,345,230,897,184,023,964,878,658,706,448,560,859,780,
860,226,505,991,457,712,478,696,522,155,589,000,151,083,788,304,028,054,055,
360,423,819,245,682,302,875,854,761,697,522,784,377,957,758,448,930,823,159,
541,685,769,031,444,624,472,590,737,715,190,404,046,780,020,867,282,188,571,
031,324,708,272,417,497,195,979,107,080,583,890,207,369,139,165,657,833,344,
450,971,585,204,803,397,631,791,719,497,591,806,045,642,388,587,849,651,699,
706,122,144,791,836,464,575,052,619,631,759,603,617,984,890,937,105,663,689,
362,141,469,117,536,313,362,962,257,185,622,006,357,018,711,863,855,055,683,
323,923,291,903,487,803,355,034,139,657,700,387,095,814,520,063,480,880,393,
408,982,336,077,317,138,546,655,054,956,824,413,301,630,898,202,798,940,047,
180,023,617,517,027,560,536,116,740,380,506,936,391,470,922,432,142,896,653,
753,187,920,622,401,212,891,611,845,027,048,055,143,794,127,960,519,473,806,
804,098,831,008,844,778,469,204,713,657,720,337,920,072,183,194,625,845,718,
935,806,153,082,906,247,025,876,072,679,134,106,561,698,115,554,963,162,452,
369,483,628,528,323,341,028,193,207,101,080,289,462,045,974,984,047,244,079,
392,000,983,152,703,035,058,328,541,300,316,551,549,932,079,110,907,270,124,
913,477,432,392,637,420,542,328,838,223,738,535,831,258,998,190,750,584,846,
183,250,069,440,602,705,198,158,317,572,865,099,994,196,441,652,647,371,471,
229,902,178,366,362,802,070,464,153,063,955,784,522,330,401,723,098,794,202,
941,424,649,083,156,968,135,798,146,985,142,908,173,379,586,888,611,373,599,
152,612,827,102,493,960,930,987,568,012,500,171,813,895,800,903,745,596,038,
898,291,127,691,557,377,789,860,405,081,478,601,697,159,782,615,559,487,358,
858,702,050,129,760,823,971,836,449,471,731,243,258,155,824,077,073,246,857,
588,774,247,928,457,646,253,932,993,592,191,749,060,548,425,909,315,308,218,
672,726,418,968,078,674,882,057,674,968,019,878,193,482,345,701,840,550,643,
815,679,506,317,779,330,517,639,520,391,562,190,765,922,883,006,615,167,479,
254,995,750,582,612,707,547,806,596,291,451,210,096,843,126,995,545,860,870,
501,201,059,849,439,226,118,427,526,870,947,794,968,671,731,647,839,334,709,
506,009,173,518,174,682,932,230,280,430,160,044,283,254,086,455,625,553,983,
143,357,389,389,578,432,861,943,297,312,381,625,577,258,984,634,384,795,235,
820,747,847,293,603,260,937,286,635,315,713,943,221,316,727,498,573,869,893,
796,368,675,558,476,657,496,801,314,191,398,476,489,833,358,210,461,114,373,
857,777,599,210,132,249,439,855,816,646,707,553,993,726,205,838,842,396,226,
639,666,703,978,888,722,752,418,846,637,598,459,548,159,950,088,890,733,578,
603,200,742,715,736,522,455,772,249,937,061,096,735,781,562,915,189,667,238,
570,090,675,616,975,057,610,266,484,609,229,201,116,130,715,859,661,593,365,
603,981,203,704,488,017,025,915,769,827,216,031,560,743,636,573,858,548,827,
060,618,933,988,856,376,059,784,777,870,240,065,020,037,197,121,954,165,846,
994,643,910,892,097,657,029,680,359,167,150,584,138,254,986,965,894,228,127,
344,618,420,931,644,113,628,875,734,901,861,997,913,561,617,602,813,424,182,
940,338,583,773,515,700,374,301,183,664,544,966,744,874,946,346,275,324,063,
414,803,406,065,217,266,170,690,915,466,543,934,642,235,852,975,861,992,232,
593,701,040,286,261,312,158,729,389,135,778,023,712,267,144,489,112,808,610,
005,328,488,181,061,504,239,207,039,972,144,053,518,058,740,136,386,931,328,
962,269,297,265,353,596,350,383,386,750,765,092,097,527,176,394,241,036,188,
429,126,829,173,300,619,247,103,769,621,942,218,607,725,950,101,787,467,946,
388,695,461,527,364,955,026,453,463,278,659,626,488,067,487,545,772,802,073,
477,176,558,267,567,259,500,377,708,518,315,223,078,458,642,582,640,095,852,
827,212,179,224,893,393,769,103,168,135,194,300,001,813,018,268,077,872,385,
803,346,210,871,985,155,103,888,451,849,148,575,534,925,398,836,001,317,398,
921,624,788,689,786,528,371,364,243,761,205,297,827,630,318,690,573,161,449,
997,114,416,342,408,411,469,100,452,759,257,743,939,174,059,342,754,248,086,
938,787,095,799,037,432,747,681,226,248,076,636,396,898,289,913,737,660,994,
164,435,434,742,247,511,410,628,518,678,427,553,249,825,774,591,574,781,396,
050,502,292,437,443,168,105,520,843,673,695,261,128,520,545,688,562,854,212,
692,086,093,812,518,819,915,046,262,426,392,466,361,137,891,913,143,473,941,
052,573,266,395,215,581,692,656,452,526,649,119,477,162,238,674,268,001,885,
201,699,646,470,161,755,210,748,042,341,409,305,776,193,651,862,368,279,456,
119,455,769,653,244,018,602,690,418,620,154,915,988,678,524,227,932,634,429,
083,052,727,383,273,885,083,395,004,737,970,018,233,751,874,330,334,821,341,
976,706,027,087,768,497,140,602,473,374,199,024,346,147,209,538,640,207,511,
573,652,490,601,148,775,021,790,210,850,054,382,986,535,885,334,544,012,898,
573,327,876,036,593,883,942,787,374,606,790,950,460,426,397,297,298,613,759,
167,541,947,154,888,758,888,137,983,425,336,886,406,483,327,910,947,603,528,
957,182,360,192,746,146,962,105,367,864,744,560,571,696,341,045,547,631,064,
694,036,187,384,332,720,417,928,930,357,467,688,914,695,245,005,326,957,692,
874,627,499,310,573,626,790,028,576,238,493,200,181,511,891,471,310,192,218,
573,199,868,417,748,039,579,899,802,070,534,075,736,076,100,755,431,199,356,
747,741,647,167,298,581,571,683,811,719,564,205,706,419,810,627,476,165,852,
829,208,080,694,106,189,118,732,136,132,374,957,927,263,442,490,220,444,340,
556,410,582,761,503,690,764,658,733,687,034,334,108,646,912,434,687,699,592,
980,744,239,302,630,157,915,728,792,470,180,237,365,767,515,931,357,056,216,
016,645,152,623,742,791,818,320,791,929,495,524,827,947,353,249,283,553,741,
198,282,346,718,218,391,595,274,954,806,279,153,950,860,552,080,733,860,614,
448,620,773,956,134,498,131,872,301,574,524,457,791,406,821,996,700,267,712,
519,537,395,369,877,948,467,372,951,093,805,096,332,068,098,674,904,118,887,
319,123,751,326,938,622,848,034,057,404,668,100,372,873,930,568,499,822,142,
746,720,491,175,203,741,758,477,645,340,627,267,949,947,777,833,743,767,528,
403,424,106,369,855,621,961,230,089,710,708,301,993,424,135,340,764,542,961,
518,570,518,529,996,629,696,804,452,734,536,175,003,307,766,609,327,143,150,
755,337,212,453,580,236,916,919,663,110,122,480,690,024,379,498,035,197,387,
850,278,087,961,963,312,829,125,439,946,932,979,355,156,898,815,591,671,832,
872,008,051,432,399,961,410,339,326,686,236,129,833,982,321,431,987,187,595,
671,530,405,009,929,597,089,136,213,161,642,797,766,775,297,184,457,328,202,
561,515,750,042,257,218,202,740,735,277,115,294,348,477,770,100,436,255,974,
019,622,016,405,278,049,919,811,189,205,285,295,158,264,226,216,199,319,600,
112,666,603,022,265,573,496,192,627,662,637,905,816,178,972,093,135,010,572,
163,362,934,350,522,950,058,226,611,337,332,183,839,719,451,174,595,617,893,
807,521,030,856,083,209,819,738,170,482,322,242,014,241,851,418,678,193,148,
849,239,871,968,064,288,689,396,978,361,919,458,179,624,601,075,852,646,568,
865,315,799,923,142,939,139,642,472,171,784,383,178,857,805,597,398,021,730,
842,139,686,625,607,009,553,995,287,294,465,326,494,133,771,160,141,496,225,
455,007,437,921,275,702,359,803,820,684,734,372,616,785,021,417,561,758,770,
522,449,022,186,747,259,052,966,603,578,480,880,475,971,879,124,217,387,714,
728,844,042,960,011,277,184,405,006,197,075,072,115,231,771,655,190,698,807,
447,699,744,899,065,452,352,762,049,395,479,328,680,681,452,424,826,857,551,
629,733,955,964,497,764,757,559,971,287,532,333,143,737,422,929,377,618,543,
746,760,859,206,465,872,560,125,111,478,875,786,182,344,675,892,127,413,575,
353,275,874,601,637,041,441,781,713,940,878,915,374,177,067,389,447,428,626,
831,015,592,672,306,139,190,763,894,256,658,127,084,595,646,398,463,625,488,
256,566,325,976,258,875,797,744,331,118,433,677,977,100,669,534,128,710,245,
960,612,579,828,029,763,084,836,189,533,915,769,720,103,836,146,638,616,128,
572,569,506,571,990,345,052,097,792,038,034,747,946,999,433,105,886,364,360,
599,692,100,951,280,808,053,237,085,350,381,239,260,871,167,247,834,490,385,
424,681,673,403,149,730,799,108,349,527,640,605,020,446,040,410,093,274,808,
029,894,113,038,353,496,035,612,793,910,510,673,469,141,355,536,877,960,886,
476,491,997,825,228,053,483,045,857,193,412,891,133,042,897,173,352,741,142,
516,478,496,009,230,139,682,197,347,123,901,600,068,203,625,924,251,992,627,
174,706,518,767,634,593,959,907,808,493,907,089,465,369,627,566,381,834,314,
117,436,393,092,718,231,277,452,779,327,317,076,979,258,055,939,843,658,775,
612,910,119,717,751,292,279,507,833,394,328,461,115,499,465,063,586,713,291,
802,958,712,787,006,179,707,161,450,385,708,041,242,672,610,427,195,281,122,
320,698,035,787,360,536,475,875,638,878,028,719,329,673,288,119,825,447,736,
198,138,168,926,726,454,796,643,621,445,320,510,693,267,026,983,979,369,002,
755,682,193,988,266,503,285,107,002,550,018,301,035,259,526,408,959,269,977,
573,582,607,000,589,506,739,510,574,943,302,438,583,967,150,526,614,681,032,
113,725,620,622,842,842,509,992,140,855,910,797,711,669,819,958,953,206,719,
710,810,521,317,272,941,253,274,797,363,206,225,255,164,943,356,919,885,448,
693,753,431,772,072,089,397,707,672,573,888,317,738,740,421,189,042,942,371,
523,304,210,354,011,814,514,184,461,104,257,711,899,129,555,927,597,444,789,
325,454,201,688,336,076,748,232,489,107,157,956,933,661,127,012,930,778,722,
637,528,071,449,966,199,926,733,494,640,321,854,767,764,386,461,600,532,860,
910,281,312,959,290,251,282,710,020,101,852,949,783,345,266,234,274,195,095,
821,504,968,027,132,802,170,150,779,368,464,962,388,366,385,051,060,837,047,
033,842,140,561,679,189,805,453,393,093,380,164,164,848,988,647,064,789,474,
794,025,531,386,512,881,742,527,229,136,933,586,462,711,629,823,986,800,725,
384,791,887,747,992,687,511,734,891,361,219,681,485,774,090,347,438,119,903,
691,937,680,373,042,971,198,657,711,298,067,595,444,638,863,986,654,078,309,
205,192,770,995,801,704,052,175,794,580,874,237,269,016,781,096,115,811,684,
503,240,371,808,775,172,629,933,563,326,766,824,387,681,941,684,914,578,754,
993,751,429,301,636,386,172,385,814,273,774,567,366,256,687,821,509,381,476,
935,202,028,115,148,951,986,996,105,426,516,731,278,923,653,316,401,289,627,
802,118,895,961,731,319,676,386,810,945,097,507,902,916,626,823,023,812,714,
155,526,714,930,258,305,100,773,345,136,185,713,087,044,872,261,654,096,998,
847,461,898,118,051,534,137,066,136,944,231,470,326,568,677,354,847,395,810,
510,661,651,150,475,281,767,056,595,531,364,245,044,066,217,222,951,687,986,
581,432,990,900,317,421,060,414,903,267,397,509,430,480,722,237,934,822,713,
945,569,410,041,468,158,123,739,735,372,769,016,912,187,995,251,795,310,934,
398,547,825,496,209,081,665,508,931,109,678,928,160,425,681,148,939,743,079,
458,543,954,925,469,345,581,581,463,748,297,427,895,404,279,404,492,882,641,
470,683,657,617,140,772,783,270,757,511,450,955,578,286,509,339,397,105,594,
987,034,608,104,931,603,659,603,300,613,980,699,523,179,553,530,701,332,605,
614,758,141,551,544,156,398,738,453,855,200,632,004,274,862,067,021,418,264,
353,194,820,412,458,860,241,585,084,027,721,563,712,918,387,632,490,325,865,
393,498,485,815,650,415,310,396,263,568,365,923,313,114,641,746,512,085,657,
869,701,441,993,287,122,675,069,918,592,943,228,377,799,106,951,347,557,245,
218,633,723,775,894,134,755,324,175,045,621,398,310,334,996,577,697,269,919,
324,328,895,708,129,828,850,795,467,609,057,863,660,463,631,283,710,657,376,
165,125,646,313,595,755,004,519,122,138,485,482,345,779,248,138,253,421,032,
757,521,034,634,517,491,645,578,204,483,443,270,053,041,382,777,839,736,448,
706,066,647,639,309,591,756,645,704,293,738,118,933,892,663,259,142,871,258,
835,956,619,071,004,214,718,767,686,915,006,525,418,778,904,316,870,683,689,
447,967,525,891,355,228,569,006,925,291,858,462,546,278,025,410,769,695,551,
097,724,895,304,481,160,211,585,403,882,723,297,663,177,610,268,076,125,408,
704,863,162,357,933,725,670,805,636,263,493,362,254,729,807,961,571,783,775,
049,030,188,889,699,433,826,905,950,954,739,682,171,562,655,818,909,014,469,
458,180,576,886,917,743,559,965,905,832,241,696,200,890,735,290,708,911,106,
130,055,157,171,848,089,781,007,718,493,990,997,812,394,045,326,565,824,901,
159,501,778,561,664,826,240,759,858,370,356,558,860,950,279,320,808,029,377,
986,120,983,891,139,254,215,247,228,917,550,084,827,343,078,559,691,874,516,
906,063,088,410,382,866,875,229,101,849,030,824,433,165,255,542,192,697,361,
009,488,916,727,859,433,190,777,161,667,006,384,282,227,380,721,358,156,966,
426,680,732,480,973,081,877,186,857,594,648,127,779,257,949,858,930,480,500,
342,128,300,650,068,376,168,304,941,211,957,191,502,653,079,286,786,952,038,
424,666,641,373,537,447,696,511,202,459,706,248,091,030,141,636,672,997,670,
594,008,107,725,413,915,181,602,052,323,469,147,093,150,522,542,069,474,091,
567,571,111,379,641,188,377,088,624,853,944,626,322,424,864,358,152,138,769,
910,333,550,187,825,724,259,659,596,833,633,528,162,826,886,558,794,226,870,
055,288,285,350,990,267,251,140,067,003,431,032,993,267,349,907,402,956,057,
932,817,094,962,870,707,787,798,575,077,345,836,405,647,846,197,769,034,047,
425,234,431,649,035,078,226,406,345,714,459,160,632,562,104,417,585,969,565,
376,130,455,740,585,489,652,293,768,602,488,664,451,953,321,646,149,907,097,
013,024,807,062,522,561,649,927,650,205,258,039,377,310,854,258,774,845,208,
193,086,099,858,477,979,301,683,591,931,221,469,789,567,188,742,263,340,548,
076,467,927,790,061,020,447,006,582,164,399,846,253,733,537,968,743,785,358,
667,352,502,377,316,663,827,373,422,771,125,303,983,479,097,713,373,766,452,
614,923,557,228,418,431,982,953,807,504,072,444,351,370,467,612,617,413,487,
877,926,634,858,047,708,465,512,093,433,928,673,623,500,650,376,633,807,147,
457,608,079,030,398,769,129,223,061,298,802,339,159,389,586,086,988,697,368,
715,172,772,593,317,771,496,514,238,609,571,191,152,879,266,318,873,421,881,
810,437,654,137,136,807,917,962,247,999,953,438,603,382,636,394,138,990,964,
942,399,160,029,169,015,433,969,468,494,974,232,003,302,576,485,019,878,555,
167,820,538,788,758,804,160,254,514,747,812,704,236,456,419,012,838,695,040,
507,120,729,730,365,802,349,251,123,916,901,380,945,004,921,871,667,845,807,
314,493,800,303,175,200,941,800,335,646,365,224,442,971,221,876,342,938,469,
080,012,552,889,926,385,749,783,511,170,691,601,529,500,989,793,119,257,103,
608,276,299,721,160,496,584,910,490,029,384,513,573,524,232,816,778,269,526,
321,820,476,969,359,298,409,839,564,783,838,231,717,288,015,149,906,455,344,
806,166,831,926,618,638,731,433,745,899,784,296,727,782,330,786,550,265,236,
400,199,992,893,698,488,712,290,287,709,299,668,908,816,102,499,545,309,645,
245,095,311,935,989,404,131,503,005,743,771,625,428,123,391,617,837,911,288,
137,532,302,345,310,072,223,156,753,837,225,258,706,646,929,142,927,563,549,
086,924,480,468,978,102,822,312,415,660,633,824,856,936,155,516,923,439,937,
713,516,286,197,599,044,596,099,724,123,995,577,880,156,340,570,969,506,488,
255,569,458,209,289,376,946,472,442,431,484,988,749,950,678,989,183,877,660,
695,203,278,133,061,525,294,781,819,367,504,940,210,216,716,579,283,341,568,
066,002,711,233,895,586,755,721,298,281,292,124,748,765,794,698,296,860,956,
699,037,155,666,384,451,941,204,281,535,334,106,796,323,361,371,427,055,517,
400,632,530,240,156,977,802,715,822,537,398,630,300,456,383,989,311,525,616,
044,176,636,342,506,692,787,976,364,161,368,451,901,183,536,026,974,269,285,
665,336,155,096,854,684,123,873,330,343,856,853,662,097,165,489,251,466,761,
265,907,034,205,283,588,643,514,236,610,762,321,519,514,648,967,986,390,040,
968,313,741,136,674,367,162,341,323,793,147,043,313,612,783,060,609,757,429,
433,959,708,710,913,708,365,573,636,592,393,604,140,096,121,455,191,111,541,
066,109,161,198,535,621,078,547,636,090,299,450,160,421,325,621,488,733,297,
261,844,950,117,593,957,365,335,070,154,620,584,504,011,566,596,279,365,369,
073,415,120,195,651,470,161,337,027,130,349,606,550,720,659,877,157,639,496,
519,202,298,539,496,453,078,542,219,373,753,303,156,360,115,447,722,828,776,
895,710,197,969,579,477,991,145,217,863,493,341,452,559,947,846,444,023,596,
934,473,719,778,310,660,091,733,496,403,861,499,186,290,459,234,100,822,662,
901,927,348,964,831,046,752,117,786,616,135,611,881,302,953,969,580,359,731,
898,736,181,232,623,605,894,517,129,415,770,352,603,516,117,704,833,857,551,
500,381,915,608,158,660,238,996,375,613,105,185,441,577,328,354,820,043,468,
817,537,606,319,555,277,038,135,572,614,629,528,306,146,435,423,164,049,967,
406,532,513,916,686,205,974,788,622,535,031,243,731,886,615,819,393,759,412,
822,341,627,558,577,616,209,563,730,269,339,284,196,349,178,616,759,375,855,
850,310,868,578,603,943,698,151,900,945,022,274,860,829,308,686,719,721,461,
205,565,432,245,125,206,915,678,157,407,779,009,833,925,193,566,284,411,596,
984,879,689,837,623,700,624,202,557,939,368,728,261,549,530,140,407,085,470,
569,538,241,065,199,917,644,705,923,175,261,294,302,866,262,230,797,281,552,
269,080,177,370,405,332,692,204,515,845,247,561,587,861,658,915,086,577,131,
817,544,761,012,461,063,429,191,489,282,231,086,610,801,228,057,092,217,342,
264,192,221,999,739,077,841,753,268,466,240,851,421,106,152,386,804,121,931,
833,122,626,460,378,671,977,683,268,620,645,570,875,301,308,023,465,501,901,
686,006,789,306,429,529,449,471,711,087,329,490,315,658,240,748,293,278,819,
629,979,077,219,252,410,974,847,115,504,961,871,853,010,133,019,639,311,957,
321,407,302,338,305,026,355,817,229,524,308,392,312,326,420,802,767,810,012,
560,396,206,547,360,455,832,955,621,105,588,239,368,549,846,907,607,795,689,
359,520,734,273,618,184,266,449,261,110,589,652,295,282,657,740,139,999,999,
384,929,217,549,280,381,159,314,183,337,658,330,782,586,373,317,912,485,728,
706,072,764,422,771,012,600,011,076,818,127,934,449,176,030,416,961,244,373,
783,221,549,938,702,037,069,561,530,717,428,165,034,770,740,738,353,571,270,
156,145,995,978,889,335,163,494,591,848,741,587,622,728,609,002,954,949,206,
499,039,940,951,762,717,996,753,411,124,535,785,163,219,412,085,885,424,677,
375,974,636,598,979,017,886,301,891,679,108,038,808,020,409,118,166,780,394,
183,841,072,748,082,991,092,994,718,400,726,029,569,684,462,901,827,432,889,
232,469,744,183,546,945,341,650,906,882,587,746,041,296,890,025,441,568,796,
196,951,323,947,967,329,072,533,122,785,475,492,759,326,297,134,463,784,757,
582,089,257,942,008,780,332,929,850,345,115,918,156,542,059,014,211,704,756,
017,950,299,061,989,330,695,036,277,432,901,907,044,257,355,636,365,722,796,
274,903,839,830,310,835,601,900,340,577,281,443,436,626,182,071,327,641,126,
857,651,002,548,517,237,324,312,781,147,934,911,268,047,227,665,884,291,421,
147,735,165,889,038,546,851,325,011,600,386,625,220,059,339,619,784,080,373,
746,637,303,759,338,362,138,724,845,617,193,839,650,970,792,752,911,081,252,
769,691,772,139,392,480,878,030,355,929,064,595,037,674,668,822,595,824,197,
829,107,283,347,146,064,749,650,394,553,062,634,734,646,038,009,651,209,912,
930,487,097,770,253,963,518,395,227,580,909,818,620,756,425,062,105,327,564,
314,328,518,961,621,691,277,029,615,422,263,920,959,470,831,507,595,606,214,
385,296,546,447,311,853,017,403,615,468,419,531,365,090,552,882,591,603,799,
836,630,971,058,711,746,681,204,230,121,606,335,688,548,709,722,153,675,996,
722,340,943,235,108,313,211,262,350,049,313,483,621,316,722,882,870,275,323,
740,024,056,975,330,611,563,432,792,852,025,967,438,824,372,989,620,871,599,
060,120,263,891,123,062,775,368,764,687,062,216,085,841,875,100,608,224,778,
614,004,246,164,826,295,898,725,993,955,565,783,071,943,362,637,271,703,078,
128,524,267,302,727,521,705,815,261,603,034,644,558,068,052,772,754,504,281,
567,094,052,560,333,480,441,645,231,295,211,939,526,472,915,715,481,133,840,
278,662,726,576,912,528,585,407,388,271,575,058,592,188,388,369,546,991,066,
739,657,410,496,218,106,518,418,837,463,165,280,115,764,725,909,855,853,188,
425,458,832,671,898,253,745,931,523,198,928,331,075,867,909,105,166,709,239,
908,516,584,386,151,922,132,930,345,924,110,199,736,162,286,904,615,088,689,
419,233,874,142,935,638,674,909,606,420,442,854,772,844,406,476,137,355,129,
761,483,760,696,065,926,210,437,712,290,289,448,383,904,177,774,191,663,934,
241,334,590,777,094,881,770,675,370,231,691,037,511,025,396,617,286,938,929,
101,164,165,980,964,907,100,958,632,124,614,069,956,441,475,336,475,763,397,
545,520,054,865,732,184,870,345,741,422,097,404,510,417,954,388,318,499,883,
620,606,889,447,662,977,080,822,851,103,888,289,236,419,196,235,640,801,467,
613,326,394,769,257,240,826,744,340,945,796,698,766,800,052,257,262,607,994,
332,108,980,381,287,398,413,943,036,591,735,588,496,674,362,002,129,471,758,
513,363,947,083,501,572,607,784,603,169,253,940,138,339,853,810,809,373,812,
092,470,977,766,752,482,316,929,761,907,186,114,681,923,881,211,303,584,874,
120,930,085,250,093,211,264,969,651,203,157,676,637,037,009,914,311,622,673,
293,442,226,602,019,560,835,647,887,660,295,684,433,806,397,885,021,668,062,
748,812,205,082,161,070,999,136,419,801,478,177,364,962,716,668,095,853,517,
656,203,290,693,739,813,459,452,712,379,140,025,026,954,743,041,711,078,972,
162,432,123,224,885,215,075,182,201,004,223,327,970,602,099,479,237,045,662,
469,596,932,416,035,681,477,627,067,345,326,639,526,924,593,863,221,780,421,
473,824,475,906,074,379,881,916,389,697,579,698,532,669,805,621,416,917,442,
918,168,296,885,306,126,234,983,607,657,289,619,203,683,893,480,574,569,632,
851,509,462,219,143,339,719,249,956,578,815,845,774,634,072,198,158,943,808,
057,766,010,810,033,602,972,884,652,621,134,202,366,505,096,880,467,571,490,
245,255,200,595,370,123,102,131,181,442,728,998,355,423,970,642,703,339,561,
617,810,181,822,376,656,751,629,405,940,271,869,179,388,723,828,805,294,502,
673,559,866,770,412,796,774,266,265,115,757,523,252,012,575,375,773,498,410,
957,627,532,895,357,321,826,326,320,998,137,247,328,768,790,461,664,087,732,
841,631,588,043,939,783,335,886,664,539,988,106,952,366,476,091,412,841,787,
622,092,934,161,561,911,026,914,740,726,381,301,195,985,021,035,658,933,070,
167,395,413,042,671,372,544,444,074,051,352,839,317,493,281,570,093,324,074,
461,082,583,928,411,722,642,061,752,363,791,514,229,078,680,953,343,391,000,
327,069,141,904,095,326,916,525,427,720,985,962,857,305,980,329,763,828,007,
985,444,334,264,257,475,742,178,006,659,932,633,376,515,383,662,462,302,453,
694,530,228,716,358,254,534,129,715,216,088,290,207,949,936,162,521,901,194,
168,885,566,093,930,838,044,133,202,739,664,754,393,702,427,011,026,527,925,
729,545,709,027,846,391,018,892,881,185,359,013,086,859,260,167,572,390,912,
314,973,358,636,988,673,380,726,014,579,947,473,999,776,317,246,417,922,423,
466,993,158,960,061,040,636,634,886,858,044,308,352,921,550,518,797,167,790,
510,034,124,186,536,924,790,501,555,955,367,873,532,645,256,677,843,709,456,
837,639,299,096,380,684,303,616,287,914,408,197,225,601,770,743,230,610,557,
224,065,508,687,452,926,198,909,842,696,665,801,478,286,437,618,064,157,121,
989,761,900,771,978,859,924,697,471,363,194,838,227,243,882,486,856,142,224,
485,461,505,612,645,123,619,680,157,529,981,140,563,615,375,940,739,568,243,
100,542,766,616,399,626,588,767,910,791,623,576,440,085,775,894,592,056,765,
052,232,431,328,206,021,322,390,532,705,103,807,657,706,542,680,890,939,247,
602,559,057,788,893,614,377,689,192,776,109,937,115,851,663,392,299,118,196,
153,128,896,057,920,305,784,724,889,894,028,152,687,549,056,991,138,525,430,
233,958,470,180,450,716,673,487,031,213,077,775,747,175,943,448,714,485,096,
731,637,481,231,781,522,948,222,802,064,653,962,099,701,053,248,804,926,996,
598,547,329,357,225,287,672,744,651,051,876,648,122,906,738,699,725,288,615,
616,231,799,770,185,861,359,132,352,185,315,810,551,497,941,216,484,849,450,
345,485,741,145,906,740,750,799,999,457,475,005,052,987,676,242,229,413,221,
501,885,577,008,580,061,944,069,604,455,310,028,607,983,572,912,773,506,144,
680,707,928,109,065,249,727,244,034,330,499,423,747,032,348,300,638,418,097,
988,930,429,512,246,232,551,761,563,998,877,225,890,492,661,897,853,148,233,
511,386,555,446,550,414,186,425,676,401,093,267,208,461,700,368,512,452,219,
801,860,521,397,828,805,521,999,843,896,398,518,578,429,909,531,394,284,304,
805,405,524,879,577,820,448,867,384,972,897,645,541,651,780,155,462,904,643,
346,515,087,337,120,277,793,991,762,650,149,717,594,026,569,519,153,665,286,
247,011,067,420,232,391,594,908,270,853,600,413,953,296,610,350,046,724,663,
738,528,951,382,072,443,009,702,410,494,312,941,771,937,524,242,711,894,866,
582,284,000,778,722,960,951,584,980,252,407,166,363,239,398,257,435,697,788,
442,380,697,054,177,425,717,930,524,952,392,123,784,311,692,674,292,669,858,
272,567,405,407,540,042,359,653,464,142,631,204,397,019,150,912,556,735,076,
613,726,252,490,880,783,528,626,844,362,263,618,556,128,584,073,489,539,749,
348,926,457,816,489,972,221,749,044,000,822,162,816,464,524,482,025,807,226,
858,899,219,344,149,311,675,779,979,856,336,688,908,725,435,338,572,572,944,
898,924,397,819,446,753,359,153,100,124,456,657,431,366,702,486,927,967,787,
043,679,171,799,871,786,016,132,018,671,541,391,037,065,398,083,577,267,741,
825,671,104,574,955,974,103,479,578,684,624,110,446,246,862,683,445,723,335,
692,511,995,954,548,932,896,009,346,252,583,422,869,010,701,304,971,764,074,
292,884,297,221,224,243,889,459,889,442,372,687,205,090,030,854,315,106,334,
117,870,890,078,734,700,198,220,455,000,642,546,656,097,299,554,269,069,467,
049,513,350,083,530,106,788,134,426,196,995,550,409,416,711,299,399,582,499,
751,519,769,718,452,077,181,326,648,858,186,213,666,920,849,638,186,503,346,
398,883,418,609,590,900,411,648,225,597,389,124,515,815,702,500,644,034,143,
674,561,236,636,429,396,966,728,230,367,824,986,214,594,781,104,278,007,737,
819,656,165,819,677,843,902,695,611,284,097,208,715,246,511,641,516,789,018,
763,517,931,672,521,155,431,756,052,717,599,320,802,257,053,094,888,227,288,
971,786,904,730,471,961,047,872,586,329,154,244,152,367,220,959,873,655,049,
076,429,396,531,112,061,864,725,712,004,764,048,145,928,517,344,271,853,925,
494,640,341,793,799,854,769,396,184,630,751,973,390,329,828,050,815,854,726,
173,889,654,038,433,747,346,774,806,259,643,762,253,146,902,238,815,891,109,
367,109,740,315,467,091,204,957,909,156,740,331,930,911,500,773,204,321,438,
940,488,109,722,421,005,504,932,890,387,293,514,223,374,672,915,723,400,414,
947,682,913,088,205,574,743,735,834,253,530,900,640,044,669,702,968,294,702,
108,563,430,538,151,084,739,339,237,841,507,374,428,283,825,312,837,821,694,
785,427,362,765,120,941,875,305,063,386,147,512,067,936,086,822,420,981,462,
049,917,505,792,373,716,130,072,529,380,964,593,648,460,163,465,182,879,253,
489,377,855,374,647,141,473,743,803,720,520,697,451,936,177,255,491,355,792,
023,372,566,201,394,043,665,363,633,236,075,771,221,112,294,827,919,758,330,
532,677,549,368,521,813,135,701,810,952,751,252,591,391,429,020,630,799,738,
872,303,607,533,514,201,241,226,521,365,081,523,130,313,361,432,900,299,924,
753,185,826,181,102,926,405,642,733,805,317,619,995,349,766,351,820,498,742,
161,968,076,770,474,959,869,630,098,353,158,458,895,995,874,124,118,881,079,
990,067,076,534,538,392,409,308,142,642,058,915,550,228,194,739,849,411,380,
444,880,865,245,907,700,999,100,261,020,679,088,505,790,369,261,070,905,937,
870,227,075,709,136,337,287,065,006,353,614,714,386,547,299,425,740,875,847,
754,441,239,187,033,013,321,612,409,965,553,639,046,758,342,429,014,514,383,
319,675,049,397,716,300,863,152,689,306,426,029,859,800,205,733,571,949,301,
912,762,053,905,371,203,706,191,681,625,293,957,864,054,647,119,499,005,904,
509,955,618,830,450,809,833,119,331,052,505,572,103,483,223,503,550,804,581,
438,742,047,708,739,786,596,766,210,986,356,632,079,558,336,376,139,769,166,
017,908,962,316,238,071,896,320,229,520,337,986,683,340,235,579,405,543,586,
796,064,009,338,310,741,480,905,080,149,943,951,932,668,888,178,506,705,337,
124,072,715,456,586,274,151,064,955,918,175,627,166,605,344,814,047,395,552,
295,603,001,167,648,964,160,043,692,141,880,460,831,862,941,124,126,474,637,
854,515,936,418,515,676,549,388,747,920,570,920,299,639,714,796,502,749,833,
246,488,306,336,418,117,882,710,212,237,796,890,739,142,880,332,574,321,705,
694,047,056,733,723,100,090,663,005,234,833,187,182,773,586,468,071,943,187,
637,900,273,082,798,218,928,672,674,977,247,398,023,023,176,379,334,006,290,
612,207,430,859,966,437,801,722,134,909,984,227,503,402,871,640,989,924,065,
247,574,293,143,729,065,312,858,655,214,546,389,773,900,617,622,972,570,939,
380,008,485,741,624,755,576,985,574,882,665,009,064,069,129,234,393,182,204,
469,150,378,621,329,117,034,505,112,222,279,516,377,976,099,620,415,314,715,
391,668,018,096,042,199,547,953,782,348,336,737,736,203,447,379,440,468,611,
192,922,507,523,926,985,838,081,776,022,094,407,172,407,985,368,842,680,112,
051,789,671,365,752,020,067,456,808,790,560,055,711,012,774,620,662,348,550,
132,627,336,011,470,283,074,215,374,406,274,151,175,530,565,162,197,546,878,
231,272,801,326,245,620,210,431,949,987,349,740,074,111,841,075,191,671,995,
209,150,348,883,344,302,737,005,727,520,993,875,671,631,831,902,441,468,776,
946,403,767,783,002,657,441,505,857,510,195,875,417,029,720,369,772,647,610,
390,095,597,745,793,709,823,292,739,118,493,612,862,983,130,811,951,458,525,
226,413,057,294,269,059,122,035,054,368,925,628,223,598,274,119,499,442,240,
726,191,237,939,542,564,371,159,350,984,578,187,269,903,296,813,577,129,747,
005,548,100,458,221,833,220,620,223,822,227,675,139,458,754,118,313,777,569,
829,662,494,917,195,840,394,645,979,123,930,943,695,115,756,128,315,085,264,
719,948,847,206,626,945,819,055,239,088,817,884,693,591,437,765,993,660,681,
673,388,523,067,933,619,515,762,054,566,871,987,194,557,744,550,615,889,415,
082,923,505,939,639,949,046,103,142,689,340,726,660,409,621,909,354,022,508,
215,792,380,296,209,814,337,036,258,601,938,590,024,788,165,974,954,154,415,
565,787,680,483,402,703,178,984,970,399,966,252,761,171,942,179,113,215,229,
520,975,622,054,542,187,949,581,330,267,658,043,519,730,236,440,956,837,406,
261,594,785,848,012,691,008,933,230,261,331,480,467,008,375,250,920,713,918,
173,606,055,544,434,856,404,772,537,748,607,363,787,760,223,146,049,265,329,
195,810,393,194,957,724,458,348,603,629,862,059,380,804,275,216,414,740,027,
151,521,162,697,595,570,966,001,358,377,492,874,024,397,782,511,432,533,066,
787,413,121,315,533,973,760,842,889,950,576,211,245,629,257,422,017,923,004,
764,498,914,802,178,637,690,526,340,635,156,726,488,442,790,992,768,832,111,
471,919,702,176,812,390,374,858,690,765,670,755,157,100,739,195,570,453,401,
761,152,352,929,628,877,034,848,128,078,977,251,157,421,196,679,383,928,058,
737,489,795,534,010,956,358,801,012,803,442,849,348,985,217,527,606,284,939,
413,106,268,230,573,407,089,722,404,509,835,733,803,518,087,147,318,826,771,
578,249,437,316,798,679,559,449,026,729,059,920,903,873,708,180,239,646,284,
638,435,607,993,177,289,475,757,022,148,947,941,781,573,449,342,440,139,120,
971,812,795,661,985,061,508,075,340,689,990,644,852,799,519,192,903,665,022,
460,749,309,610,389,587,501,355,358,582,925,598,756,267,475,699,186,474,510,
047,993,266,303,717,090,723,471,969,231,620,389,628,942,413,103,330,792,154,
907,926,000,187,300,662,078,799,882,689,661,180,650,182,527,096,762,404,314,
446,875,809,429,370,556,138,683,202,268,467,819,722,509,081,047,194,990,408,
063,305,656,230,927,983,768,541,084,276,732,563,607,628,459,707,312,277,914,
964,199,483,661,240,268,536,732,760,091,494,761,120,683,906,891,616,611,022,
849,616,060,292,588,903,406,579,679,255,960,848,712,841,550,973,716,858,695,
816,835,225,919,492,907,651,314,455,794,723,876,513,544,507,371,433,296,070,
968,784,841,736,890,757,521,124,761,358,994,141,179,355,573,839,447,103,275,
607,951,423,631,511,707,135,039,445,859,608,351,726,025,046,566,805,064,264,
049,415,105,871,229,734,513,377,760,574,659,461,277,692,435,729,723,148,359,
325,018,884,952,036,197,323,719,394,190,107,101,625,347,328,180,488,639,111,
277,025,189,155,031,625,541,532,357,452,643,645,387,477,270,990,996,513,813,
910,780,789,280,924,557,684,437,732,319,844,526,565,849,164,920,116,435,623,
020,525,748,700,538,167,873,688,867,504,193,638,338,673,283,167,615,860,726,
173,962,142,750,163,034,977,998,171,267,454,901,876,799,274,227,625,981,168,
986,944,360,169,268,901,886,551,863,351,695,654,546,147,971,573,755,346,033,
162,941,442,887,860,011,012,100,064,189,290,489,295,946,602,132,197,515,667,
701,009,072,239,669,512,641,748,657,195,698,644,120,140,781,699,290,904,528,
690,442,252,890,836,986,351,742,245,557,297,611,884,236,491,206,038,849,435,
368,197,755,992,796,334,128,029,858,704,847,598,589,506,793,561,130,118,900,
497,056,745,738,374,616,896,677,722,293,488,481,811,621,791,176,488,883,566,
253,535,202,484,460,311,480,226,542,073,824,150,404,289,983,260,198,702,827,
281,557,000,918,913,703,895,663,480,942,887,189,239,026,787,357,134,931,858,
291,219,154,524,403,682,461,921,914,024,966,833,783,575,465,463,160,960,412,
228,132,600,392,563,874,928,027,563,541,060,338,520,329,326,383,709,820,720,
269,211,349,892,451,117,569,594,439,595,345,500,902,250,139,443,564,592,434,
694,651,898,154,056,234,439,898,682,991,281,876,535,209,593,976,770,486,967,
362,782,618,400,276,239,769,154,224,119,691,783,351,288,886,262,650,017,325,
794,531,997,711,495,378,780,581,370,760,382,557,103,271,169,323,052,143,459,
807,840,413,823,281,126,752,118,571,622,236,393,640,867,950,337,484,891,470,
997,722,919,364,162,718,423,194,661,932,332,286,440,340,747,609,681,232,281,
230,343,395,587,050,438,347,331,858,637,206,205,365,085,879,029,610,633,482,
040,233,190,099,064,813,393,389,229,631,402,151,098,911,541,914,752,457,072,
879,404,668,512,123,673,471,282,309,992,695,702,958,675,299,739,287,730,617,
452,382,887,039,592,207,913,324,354,335,482,007,735,560,175,295,198,465,368,
499,283,390,777,764,876,776,286,877,563,015,484,538,729,806,954,777,615,023,
860,668,260,257,618,189,050,890,752,771,386,453,540,446,018,986,278,577,636,
869,557,859,689,525,693,982,266,775,382,941,855,528,679,150,108,979,753,772,
662,396,671,565,885,376,255,964,260,038,784,838,148,842,622,693,662,029,617,
749,054,327,507,856,536,946,413,620,116,198,006,968,126,411,911,533,214,015,
995,591,448,268,442,934,285,944,502,201,954,014,658,573,979,446,023,632,541,
424,367,869,244,650,359,705,915,456,925,575,433,200,676,024,839,680,187,279,
636,757,523,599,083,660,869,952,236,388,083,346,748,565,945,681,615,097,159,
108,388,263,765,991,912,829,848,726,530,636,530,031,282,876,202,832,711,333,
333,424,236,080,909,985,116,685,327,089,380,114,063,788,282,588,774,482,344,
272,479,505,535,356,022,601,544,886,823,520,391,928,047,612,629,121,834,790,
079,267,812,570,050,622,583,425,931,732,960,700,408,987,669,996,105,016,876,
429,649,243,662,286,455,516,660,493,887,740,737,426,849,462,806,967,176,615,
631,059,828,163,606,607,060,160,195,875,150,009,983,285,234,625,199,149,446,
610,055,066,731,188,987,277,152,818,628,576,374,315,701,186,614,301,326,601,
248,000,110,125,846,710,361,355,835,540,418,706,463,544,380,592,623,723,225,
113,354,581,526,272,027,307,923,356,458,556,677,005,364,155,129,947,368,106,
331,636,125,908,307,360,849,646,471,703,594,656,149,353,476,665,626,762,822,
730,208,547,683,014,856,696,197,983,094,726,061,327,251,582,876,053,312,425,
877,951,808,078,899,596,511,772,459,551,310,744,634,897,904,306,526,738,422,
466,964,270,749,702,971,720,383,009,877,696,991,714,654,078,435,784,915,180,
594,758,394,976,818,541,931,913,260,886,115,354,551,261,665,038,985,180,450,
725,589,780,147,473,534,930,099,429,535,890,488,764,258,528,293,429,848,494,
581,482,292,921,556,213,249,266,929,518,389,123,698,165,649,265,233,677,141,
934,976,400,401,410,775,806,431,503,171,124,889,780,673,981,877,626,649,231,
913,060,109,127,663,418,434,559,144,659,655,335,798,993,390,870,742,351,620,
510,751,508,436,530,309,976,967,285,957,353,083,831,048,365,715,214,953,940,
104,932,218,904,720,747,345,755,577,676,289,817,839,366,649,879,792,210,332,
102,058,814,225,799,931,170,847,692,450,542,045,830,453,114,777,455,520,871,
864,872,096,938,970,749,678,282,200,923,631,688,063,349,011,749,207,465,943,
698,796,560,616,540,011,519,610,332,225,705,601,322,043,217,498,411,111,638,
366,988,700,290,563,098,176,344,070,606,716,004,707,503,110,030,650,002,549,
278,316,124,639,053,609,527,006,757,152,948,730,573,801,714,753,967,651,155,
205,048,814,858,928,337,756,065,718,166,248,929,515,890,523,216,313,082,384,
508,550,845,646,829,937,814,690,379,878,125,309,364,691,888,019,999,885,274,
198,624,654,417,273,788,243,741,694,398,679,492,486,186,000,498,986,470,396,
202,914,880,086,866,480,715,242,580,967,756,387,655,379,367,230,946,507,942,
491,440,979,156,837,815,196,705,464,311,281,104,586,379,510,786,995,790,174,
413,218,317,628,270,769,203,829,675,610,100,014,643,950,916,603,711,796,245,
113,631,017,059,244,407,475,976,133,163,868,239,608,479,213,061,095,810,032,
459,084,346,854,721,076,547,063,421,013,001,209,062,941,957,816,345,028,961,
194,821,436,278,902,261,572,120,949,814,354,851,957,234,834,118,737,625,918,
721,301,616,453,898,037,050,070,127,977,918,392,425,247,502,762,075,347,015,
230,689,395,666,178,305,153,735,857,774,130,717,925,229,780,215,991,573,275,
757,571,150,489,944,945,974,453,629,677,162,053,183,083,940,307,898,456,635,
029,320,461,989,155,219,870,790,547,701,010,400,390,212,915,298,117,082,281,
545,864,364,763,781,153,008,662,630,677,965,830,301,271,272,215,216,512,052,
385,874,832,801,480,554,438,281,749,274,533,185,150,885,179,027,760,993,456,
371,781,664,250,517,475,905,407,475,595,729,684,117,233,195,619,184,205,217,
089,433,527,972,207,664,126,060,014,817,281,645,550,419,842,049,163,651,987,
138,298,400,019,224,663,091,794,293,303,735,993,641,457,287,045,931,148,291,
526,691,646,064,609,476,297,724,870,884,119,567,882,901,766,812,935,936,429,
050,394,985,164,785,509,340,275,229,695,706,464,562,583,454,721,082,350,301,
891,819,694,420,450,497,271,476,912,920,504,905,359,729,556,920,262,548,947,
324,869,611,938,200,376,091,024,085,363,748,280,844,711,662,660,999,453,113,
039,402,270,595,492,399,982,745,317,150,602,951,615,563,187,399,785,376,536,
548,956,505,277,263,360,028,574,464,713,211,853,932,214,560,303,079,859,806,
232,448,604,238,747,009,534,712,562,161,671,300,725,161,541,815,437,381,940,
399,932,813,711,637,919,505,472,428,800,526,590,093,443,851,773,921,743,154,
577,260,589,995,008,928,341,097,769,364,709,074,852,911,352,797,535,450,463,
963,084,057,171,169,501,098,025,736,852,916,798,706,511,609,582,756,360,289,
154,875,134,079,142,184,706,878,147,133,759,416,803,595,551,690,155,326,211,
109,547,684,567,302,677,196,982,417,064,164,908,533,843,256,311,859,939,681,
354,151,015,354,851,331,709,457,834,528,917,151,744,684,926,206,620,226,173,
116,886,510,205,517,177,894,924,445,292,691,821,469,940,183,891,259,662,649,
430,993,130,569,189,212,729,194,848,558,542,675,378,346,367,623,863,307,454,
085,508,987,987,530,363,732,242,875,640,702,495,971,496,646,501,604,528,804,
286,622,330,821,827,973,976,283,290,202,104,201,475,998,529,607,854,148,344,
968,106,870,640,885,101,066,716,860,717,180,979,585,174,346,267,460,714,530,
745,363,638,220,730,516,158,879,184,322,260,826,686,873,414,112,814,687,393,
939,152,525,770,395,652,306,933,951,735,365,838,748,421,803,659,284,882,291,
973,414,498,187,797,406,992,876,245,286,976,848,894,415,985,955,969,757,337,
809,559,044,813,662,704,235,429,840,018,116,526,542,775,016,213,257,783,730,
303,921,635,504,976,594,854,792,072,154,913,287,792,947,336,220,074,248,143,
881,978,611,968,705,617,264,365,740,793,450,838,010,169,199,925,732,912,480,
830,808,743,371,125,846,885,171,815,644,600,056,282,507,225,403,471,794,318,
477,790,892,704,283,770,736,157,568,949,209,485,902,159,834,357,840,828,231,
123,112,247,085,759,431,034,177,977,182,156,549,012,406,042,298,473,920,635,
492,131,613,173,439,970,435,212,441,043,983,676,538,517,829,134,387,249,281,
842,114,503,228,303,189,602,552,553,780,667,971,044,330,091,542,732,003,257,
160,745,912,804,029,665,216,746,588,977,643,409,059,787,307,363,466,065,590,
210,699,775,678,467,124,338,242,412,366,677,771,251,075,092,885,993,471,288,
450,586,932,146,718,536,916,067,236,153,273,425,122,173,007,833,217,952,745,
525,468,976,517,386,453,704,878,445,854,042,974,286,710,786,674,465,438,536,
600,446,672,757,738,992,185,892,589,782,763,450,582,976,793,734,257,837,294,
554,883,688,350,654,733,474,193,149,379,772,366,432,458,597,814,157,720,407,
005,914,975,283,595,049,819,770,757,431,070,173,130,491,466,159,879,825,902,
775,848,335,404,363,843,247,586,936,831,816,212,654,358,451,966,405,437,319,
687,635,208,448,551,763,164,342,415,717,143,661,141,457,737,934,033,728,992,
824,152,810,441,631,039,062,022,896,317,087,896,412,963,134,774,474,314,514,
201,797,650,390,692,285,046,539,601,486,984,188,335,369,483,171,000,176,827,
345,512,445,203,728,069,956,070,814,426,147,125,261,136,880,882,636,827,307,
490,273,251,124,812,258,330,039,325,599,371,144,751,490,263,233,795,165,755,
297,389,514,668,996,328,947,041,468,411,988,400,435,519,689,826,117,973,971,
810,177,230,090,946,442,263,637,999,514,150,373,940,657,391,388,345,199,616,
460,200,303,183,336,081,893,458,157,022,117,272,621,729,585,627,157,350,708,
443,946,336,409,868,603,957,032,617,969,239,678,593,218,150,104,855,770,243,
599,474,540,800,861,265,872,182,539,980,503,028,017,164,756,471,875,369,007,
793,756,804,639,049,269,006,863,817,600,856,641,977,713,557,357,134,828,501,
465,575,015,671,888,219,321,264,656,824,084,968,528,248,795,652,306,533,033,
100,076,313,865,911,867,132,276,905,900,163,433,545,474,596,022,806,012,439,
309,810,943,105,199,111,323,827,979,014,593,121,090,934,984,325,036,595,398,
029,135,157,626,494,601,649,318,005,160,160,895,342,496,969,184,172,348,707,
690,880,921,130,469,067,937,770,434,896,548,586,862,573,590,136,701,503,501,
435,975,296,095,094,103,075,264,246,508,265,037,728,258,096,211,449,375,153,
553,609,293,468,661,228,669,688,929,325,315,574,036,084,886,274,353,070,574,
888,324,540,233,974,413,576,917,667,576,763,691,683,919,239,493,314,184,108,
566,556,899,904,689,958,362,341,737,156,675,536,563,228,721,936,900,838,335,
631,666,780,421,363,446,677,197,259,198,623,096,629,124,452,128,098,198,723,
320,915,012,724,747,761,599,959,188,509,369,619,938,153,853,840,869,564,142,
413,636,388,267,590,282,655,880,632,926,325,423,559,254,693,133,020,454,276,
288,279,474,271,507,949,352,002,560,403,607,685,146,993,974,677,875,208,881,
592,522,523,439,338,541,317,636,518,019,793,062,204,213,375,161,432,779,807,
460,395,221,870,363,631,973,670,569,632,141,223,549,880,060,149,248,964,257,
861,832,457,279,680,634,686,377,553,600,686,844,890,413,314,744,886,373,349,
963,973,827,789,161,613,548,847,394,989,541,396,500,215,983,073,542,144,690,
045,317,862,179,085,086,532,545,660,174,185,622,735,622,751,457,315,160,600,
153,066,576,075,455,610,433,661,384,373,411,066,835,124,978,511,269,135,182,
147,376,670,099,139,565,242,132,226,063,714,544,477,980,621,569,351,628,950,
163,227,168,622,509,551,194,458,130,471,015,981,584,918,942,546,712,721,630,
491,784,722,707,660,776,328,164,933,192,991,803,908,257,643,373,337,720,665,
207,187,737,426,673,944,159,632,901,017,030,055,124,675,375,909,095,570,168,
463,437,911,137,465,588,849,956,347,464,186,987,504,476,884,061,294,226,004,
860,951,392,104,428,936,205,979,558,531,206,660,846,370,003,109,636,581,440,
197,897,937,939,396,037,447,720,755,709,388,996,482,360,760,672,841,400,745,
235,089,100,893,173,075,153,224,227,338,586,166,737,697,558,792,001,765,644,
386,102,817,587,238,279,785,376,382,195,187,673,548,637,835,395,756,646,459,
788,257,814,771,684,036,627,971,187,872,369,424,664,845,484,183,138,070,502,
521,363,953,818,262,888,357,545,682,576,613,199,314,520,770,599,086,725,499,
528,037,717,871,791,501,809,338,071,371,924,156,451,441,389,831,623,375,362,
369,581,378,286,540,304,048,370,364,498,363,387,682,167,055,109,764,510,648,
002,683,292,814,338,181,948,533,700,652,824,605,907,692,961,288,239,515,410,
317,639,890,763,156,539,327,888,387,954,957,741,065,310,437,481,453,530,743,
326,659,930,985,249,414,450,232,281,840,438,719,064,283,947,590,519,825,420,
809,478,332,658,672,112,041,483,633,752,721,129,596,396,348,311,697,314,078,
686,553,281,093,706,496,127,623,867,625,636,574,469,207,059,590,178,355,827,
738,488,054,004,998,224,819,285,198,498,732,255,230,603,939,568,509,779,684,
995,145,352,328,112,369,886,997,651,846,756,422,298,282,442,041,819,690,887,
237,857,531,466,852,611,105,520,250,237,593,454,788,543,395,846,850,104,527,
321,344,046,176,322,966,397,640,474,547,337,039,919,406,283,252,228,445,868,
491,114,609,314,814,665,692,028,296,691,092,516,077,272,589,025,810,235,538,
051,662,573,135,530,386,700,756,776,375,341,287,846,966,859,809,175,439,985,
201,837,868,851,548,765,215,530,227,312,201,094,425,998,346,662,505,092,988,
834,447,366,414,276,589,391,921,911,551,778,309,233,184,486,016,607,883,889,
584,544,303,928,275,036,484,217,279,646,046,604,049,037,994,163,014,771,710,
697,742,035,595,611,383,228,337,582,752,202,911,088,699,698,451,111,341,973,
599,240,166,737,357,800,017,732,413,471,354,155,046,822,118,325,249,837,569,
146,747,403,565,712,695,346,360,653,764,565,695,434,512,008,885,409,917,328,
798,597,660,623,272,666,734,489,806,067,329,278,168,230,210,911,278,922,612,
685,059,602,194,390,841,597,063,616,781,459,193,369,609,719,986,256,112,969,
126,912,939,969,144,889,278,171,246,233,077,295,713,597,027,662,978,201,390,
340,613,953,321,832,988,397,174,748,664,635,002,406,354,122,467,086,369,846,
698,549,906,078,701,046,943,754,084,780,266,938,468,997,506,919,329,649,594,
199,882,211,210,240,838,520,598,318,270,499,885,033,994,214,952,781,941,889,
423,149,234,599,105,887,712,819,507,866,496,940,819,012,618,084,986,698,206,
904,165,993,049,003,522,678,439,153,526,559,421,506,451,537,038,839,860,908,
581,741,965,353,093,024,381,341,856,631,677,804,178,175,355,518,101,497,866,
291,690,319,241,447,454,498,804,026,480,474,207,027,309,645,972,804,707,556,
058,711,749,981,005,155,123,264,347,574,556,550,535,195,231,909,653,823,867,
243,761,805,536,408,396,629,315,164,999,184,943,177,213,755,588,357,684,276,
986,875,352,341,780,660,246,942,688,946,157,368,911,963,130,258,241,457,541,
460,757,289,623,338,220,875,781,421,346,295,964,643,564,982,845,309,059,428,
366,561,122,738,428,718,831,621,486,292,680,845,933,074,122,870,926,499,184,
039,417,987,521,131,851,762,189,187,252,698,790,536,216,565,613,169,823,335,
835,370,431,126,642,137,978,963,360,508,764,677,100,995,652,366,847,418,277,
959,116,256,742,713,546,369,740,226,121,373,419,943,501,085,720,932,575,246,
731,110,205,916,606,130,728,065,735,778,306,167,423,089,122,332,597,109,488,
990,525,514,169,568,845,859,636,333,058,639,958,153,977,069,040,683,731,948,
902,600,200,497,488,609,437,042,049,081,382,614,845,136,773,900,872,666,806,
846,112,879,026,108,055,905,823,758,917,517,840,956,995,488,213,728,543,798,
453,907,017,404,877,047,686,518,828,312,799,422,253,123,303,932,645,050,795,
339,284,000,730,109,169,210,272,403,120,688,053,024,703,604,612,732,349,800,
428,929,803,512,905,807,029,431,159,762,546,558,881,546,088,145,328,819,906,
727,762,095,419,770,349,169,944,262,392,165,886,192,533,084,326,599,834,411,
376,817,980,042,861,336,855,443,359,712,762,791,555,958,158,138,377,596,595,
466,121,719,001,969,729,032,682,558,287,626,331,624,798,481,196,182,869,547,
982,040,999,830,605,890,778,938,487,772,411,221,206,255,039,836,045,642,488,
107,850,437,018,711,923,186,645,937,983,527,459,992,122,464,480,687,666,372,
468,452,031,195,482,856,759,916,583,628,156,464,871,864,329,061,836,901,478,
462,773,105,795,871,778,860,247,790,552,768,450,111,186,429,333,565,685,376,
145,584,580,822,173,850,014,962,610,095,618,453,885,271,135,333,492,191,768,
449,725,236,193,601,450,992,285,841,526,499,034,993,752,089,994,363,240,773,
503,940,628,762,229,339,212,751,402,561,481,227,214,642,281,464,173,040,046,
318,855,243,681,021,851,480,557,603,996,085,987,136,599,996,756,467,695,244,
702,711,649,858,566,270,678,866,601,348,351,040,289,510,996,534,914,340,438,
643,554,245,586,528,990,132,107,872,971,325,103,868,945,550,579,514,451,841,
418,341,754,618,708,710,186,009,849,472,995,968,700,533,339,660,058,936,645,
763,933,017,118,176,318,252,165,289,647,533,347,854,375,364,615,369,720,954,
162,184,522,622,318,763,581,243,528,997,933,972,498,346,667,680,352,128,355,
899,202,008,451,392,976,165,643,467,787,016,096,554,855,854,626,513,429,098,
978,667,928,296,148,438,267,931,976,560,440,269,338,106,574,869,824,981,966,
701,186,045,530,763,321,479,517,041,885,827,618,560,671,678,600,380,640,806,
035,469,713,500,951,208,438,065,183,058,814,408,260,140,370,961,113,134,199,
703,325,244,198,499,528,606,515,595,064,925,593,389,519,906,068,553,028,246,
817,132,313,887,675,480,753,115,701,595,824,172,562,713,663,716,981,239,068,
295,897,618,564,070,044,270,199,479,102,864,032,250,434,307,413,571,048,144,
146,642,171,577,954,546,859,037,108,211,893,967,144,182,360,327,677,921,714,
412,882,895,225,194,323,579,401,634,507,855,376,920,826,773,132,716,528,398,
807,159,271,658,124,454,945,802,401,237,892,793,126,474,524,925,993,149,031,
116,199,571,946,073,197,986,242,981,226,328,596,113,472,640,745,502,132,047,
127,553,429,514,083,983,580,335,261,523,365,367,227,282,202,454,341,250,073,
574,119,694,292,333,235,080,575,752,651,629,185,879,058,220,579,908,926,030,
536,418,158,708,631,947,803,974,632,515,801,650,267,953,859,691,238,662,267,
467,728,587,735,447,862,058,480,362,883,528,831,541,295,242,379,859,196,066,
901,714,951,655,755,383,246,585,320,347,600,161,853,867,924,247,425,673,447,
500,607,298,192,232,491,949,603,303,256,730,816,000,251,462,523,768,914,484,
961,715,792,611,720,583,620,072,976,547,448,678,173,484,122,930,638,627,585,
694,083,057,556,167,551,820,325,888,725,373,504,263,277,968,973,665,618,393,
216,137,360,529,716,106,460,689,350,512,721,100,809,056,362,511,561,212,122,
608,817,008,128,359,348,371,474,096,954,509,687,530,705,004,221,462,516,306,
384,227,745,772,922,202,887,477,840,528,189,947,613,137,365,757,044,220,755,
003,043,942,624,061,660,492,976,191,234,685,964,330,232,526,843,287,299,199,
265,776,206,484,018,858,342,203,406,244,087,196,327,034,818,943,155,724,029,
210,962,686,838,397,691,747,776,419,081,516,446,972,333,798,902,141,867,631,
391,949,191,053,181,719,175,209,431,734,191,148,366,341,917,716,615,673,466,
629,822,594,256,490,760,509,917,618,119,996,834,249,937,160,637,573,111,446,
006,494,749,713,656,573,522,527,540,399,544,871,065,565,681,215,036,194,154,
502,076,201,738,630,367,782,300,343,213,173,055,904,017,006,693,067,125,921,
694,843,693,429,407,364,695,198,122,108,201,967,152,895,157,799,535,377,785,
429,340,469,952,727,943,199,340,662,349,694,665,517,382,568,957,523,389,196,
178,419,044,871,369,216,552,442,871,937,829,269,922,707,271,146,262,432,270,
523,580,281,708,993,381,962,633,229,356,256,455,263,777,216,625,826,279,402,
571,286,687,583,691,828,537,998,165,693,623,866,614,919,905,603,329,989,887,
206,457,988,164,677,854,777,886,943,184,954,550,201,626,379,478,470,265,084,
847,384,470,323,464,622,832,766,470,781,278,655,872,024,965,203,459,645,601,
303,983,082,083,848,543,781,446,981,180,805,505,159,379,471,289,629,214,992,
787,606,469,559,945,409,425,213,655,883,641,185,342,252,319,015,618,272,863,
716,046,235,640,797,928,685,224,554,198,641,927,810,666,843,868,862,702,308,
186,309,438,600,036,141,812,959,936,224,594,616,838,993,662,010,274,646,938,
287,357,506,024,007,938,040,021,878,284,168,032,494,739,672,495,092,944,223,
871,736,758,692,797,343,711,195,506,039,009,499,480,651,118,334,995,143,473,
717,975,713,774,818,593,224,948,174,768,442,957,225,971,646,550,571,328,068,
637,132,288,484,350,515,803,982,028,064,558,295,490,876,007,678,290,413,448,
139,606,829,401,079,582,685,782,198,586,733,780,485,194,950,432,250,979,226,
913,660,863,096,323,974,884,369,867,810,438,427,576,999,846,342,423,158,661,
971,005,898,538,797,051,678,888,253,284,945,620,778,231,624,165,494,826,042,
491,716,981,614,936,695,422,702,931,275,843,203,806,838,021,897,837,292,179,
217,079,103,090,208,001,145,638,493,672,975,934,526,199,817,516,640,516,283,
471,469,174,314,565,943,443,603,508,432,858,025,893,722,003,021,675,230,286,
643,917,025,584,621,753,660,342,447,945,423,560,997,493,505,665,875,345,050,
517,831,812,354,012,984,989,236,388,406,704,774,646,857,918,854,954,015,414,
927,803,294,693,729,577,026,472,441,739,990,228,845,750,219,349,883,880,646,
435,254,047,012,361,995,316,596,494,455,684,738,424,404,066,096,446,080,502,
009,275,120,557,300,021,949,426,776,989,999,989,293,543,586,996,993,477,621,
630,953,135,391,740,964,168,779,235,026,966,305,575,715,308,137,370,895,925,
941,290,236,794,241,643,526,387,304,006,444,403,259,928,134,580,591,743,343,
921,504,514,617,968,755,039,825,424,836,552,084,400,900,053,383,309,289,623,
968,088,326,407,669,662,600,516,101,458,956,348,718,546,700,353,699,674,728,
484,127,823,279,237,162,047,630,486,216,592,844,731,547,398,500,636,971,314,
097,335,802,811,994,028,234,128,702,235,903,593,304,486,008,907,200,674,728,
167,717,605,992,417,493,793,052,547,786,809,305,941,826,405,003,746,704,780,
954,689,616,938,300,495,145,280,249,684,920,787,384,854,392,991,210,104,163,
771,635,022,936,459,302,059,450,366,835,148,813,787,170,834,144,524,877,630,
916,414,286,994,729,796,752,921,539,773,055,551,957,428,075,645,122,102,505,
318,322,525,266,971,165,412,424,220,850,415,474,237,291,792,992,905,997,298,
463,692,031,964,136,528,526,122,429,758,260,604,391,172,146,538,702,030,064,
487,787,072,856,124,772,447,234,773,370,256,388,056,348,432,197,815,969,355,
492,102,637,040,934,155,639,507,024,951,297,977,815,692,278,166,702,837,170,
297,843,906,805,715,599,331,406,830,026,723,495,479,980,450,911,113,488,355,
595,040,789,435,717,276,043,591,275,330,702,973,409,555,909,823,688,224,687,
265,890,704,288,062,698,839,380,745,404,406,200,274,293,206,436,679,208,219,
562,317,840,698,406,838,828,351,988,765,258,342,275,601,004,363,151,089,445,
846,473,712,160,446,320,942,255,417,366,966,192,828,231,958,361,790,476,005,
745,368,301,941,341,075,179,513,118,567,577,053,389,808,880,482,875,359,761,
154,512,377,210,767,363,739,922,926,998,735,523,387,376,755,731,650,638,370,
552,987,015,045,245,628,635,451,464,424,448,039,943,034,081,749,300,704,561,
973,193,377,954,388,081,684,932,362,042,892,833,352,668,384,048,438,776,579,
231,995,836,692,367,667,538,286,371,210,241,419,411,405,045,957,838,038,083,
597,517,610,464,463,231,449,811,387,924,004,155,110,754,488,767,376,343,201,
805,937,505,005,900,908,011,467,203,882,030,808,852,860,647,118,314,997,698,
672,818,590,073,794,842,520,174,145,351,360,864,160,429,289,275,423,836,396,
535,904,105,930,144,604,231,002,730,353,928,049,889,470,040,008,624,306,881,
646,108,820,540,548,004,486,442,013,464,566,465,497,511,816,561,081,654,866,
914,162,229,937,841,271,952,000,962,158,854,807,500,739,640,132,147,325,566,
528,613,242,864,245,250,731,958,201,571,587,799,686,691,162,473,795,591,480,
365,523,811,759,361,208,030,909,513,659,671,123,389,115,917,143,304,730,440,
546,011,466,970,930,743,131,266,620,338,025,938,459,556,141,098,936,565,714,
011,627,060,615,595,581,052,057,319,308,925,517,867,124,203,204,127,279,446,
873,937,748,146,539,330,879,639,045,689,170,893,054,043,743,518,846,830,734,
559,454,113,938,778,045,766,800,556,538,230,427,936,236,835,466,134,236,209,
669,976,449,488,082,832,382,505,626,158,224,607,567,853,737,560,266,381,012,
030,433,118,175,604,396,390,384,373,288,112,851,455,503,201,665,163,263,015,
193,380,010,448,790,510,692,950,946,809,600,164,330,529,736,626,526,134,999,
315,008,398,271,713,396,390,725,037,752,565,819,333,365,052,296,148,746,734,
427,557,051,426,035,735,272,378,453,982,404,579,840,938,674,308,954,649,701,
201,209,619,408,054,856,337,434,834,573,374,369,519,266,008,281,869,923,825,
569,647,047,546,800,069,916,182,530,393,761,051,572,874,898,476,343,075,483,
543,494,657,406,069,134,221,845,322,971,704,244,081,608,296,238,906,281,710,
650,817,304,522,221,991,802,900,429,894,327,273,403,245,050,981,020,612,898,
068,737,010,155,264,441,011,738,371,719,024,585,215,996,867,913,878,877,226,
593,970,973,447,615,890,544,893,138,540,402,856,308,036,088,371,160,955,296,
258,717,367,535,608,246,876,100,021,766,475,054,499,926,359,971,018,323,857,
845,432,955,797,738,997,504,225,877,699,226,398,536,578,510,967,977,708,760,
182,727,594,790,196,090,780,448,879,148,509,659,792,646,850,776,361,450,894,
470,721,897,140,620,880,162,950,064,823,987,866,531,752,934,154,526,942,145,
895,656,929,649,700,862,462,431,571,467,204,141,841,681,371,651,437,536,711,
849,531,879,707,644,539,121,177,581,490,461,972,454,082,221,177,001,094,329,
105,556,107,082,333,925,379,894,641,024,797,271,438,477,943,544,929,833,763,
562,822,558,907,136,096,782,401,391,540,542,299,114,390,258,300,582,015,181,
607,182,316,651,576,473,536,336,408,078,060,038,824,878,236,014,826,928,410,
457,861,044,335,331,329,496,242,571,521,832,486,927,912,900,433,415,080,062,
510,930,929,901,512,977,327,789,444,774,961,707,627,135,943,287,078,567,407,
116,553,517,672,134,065,074,559,736,700,403,937,749,702,051,416,053,049,842,
047,025,862,308,923,485,885,057,625,383,248,179,847,801,971,816,316,465,067,
771,770,416,120,880,487,063,761,313,012,653,589,526,369,517,281,402,663,579,
887,409,553,473,173,545,785,351,671,621,931,518,559,712,292,979,332,349,064,
481,801,509,073,917,669,990,117,876,132,254,832,616,555,601,401,139,601,904,
473,152,510,616,669,301,083,485,791,295,898,611,061,009,241,416,684,059,738,
160,402,784,200,742,581,829,319,494,679,575,156,739,961,782,576,473,532,028,
603,919,229,435,561,253,224,216,205,797,301,440,200,976,325,360,519,640,448,
581,459,962,055,531,675,565,788,691,312,968,671,674,821,428,768,813,598,732,
533,080,854,444,908,405,922,238,213,616,025,983,092,455,556,159,944,102,704,
147,209,408,257,774,704,729,027,263,707,732,265,654,458,024,108,487,925,623,
662,557,123,513,975,934,301,683,931,574,151,269,881,075,089,503,458,264,802,
505,647,781,686,330,081,088,725,330,491,794,551,345,218,667,454,255,973,445,
983,475,378,163,790,723,342,487,308,657,228,398,331,554,799,280,094,891,820,
786,556,913,099,784,115,435,246,446,390,244,788,089,601,111,915,273,144,434,
091,188,169,209,272,092,876,689,155,081,088,010,428,153,096,194,357,873,923,
057,604,754,177,002,776,993,753,303,506,431,433,797,315,393,274,223,563,715,
977,158,983,505,030,720,984,627,630,784,071,678,761,530,198,936,004,756,952,
828,663,414,077,381,329,006,730,912,066,684,426,090,608,713,669,110,299,627,
038,919,613,932,163,488,067,204,337,046,701,909,580,318,123,126,465,156,494,
634,145,608,488,847,435,353,772,642,202,462,318,789,566,840,025,547,634,655,
255,035,735,919,717,665,647,684,317,914,384,359,919,490,152,753,195,615,651,
228,328,181,366,994,361,633,197,960,907,597,720,309,689,232,882,618,605,220,
134,850,569,276,436,147,209,111,737,467,030,867,731,091,425,227,311,097,990,
708,001,988,117,852,115,418,587,958,485,880,270,281,601,296,593,581,238,903,
612,329,786,041,372,763,108,839,765,869,584,864,477,094,614,915,153,395,421,
862,675,513,350,633,221,700,859,090,439,385,163,598,131,110,026,456,409,931,
684,990,853,482,997,443,598,084,765,312,333,872,478,764,631,217,321,372,818,
043,230,574,526,128,114,615,179,218,507,935,025,700,644,094,665,907,079,102,
236,630,219,798,327,870,227,163,896,277,894,678,853,066,930,478,166,189,130,
730,288,236,490,181,035,767,796,219,109,300,208,087,529,611,207,970,719,875,
512,683,379,286,010,153,460,522,146,926,886,414,537,128,420,737,396,465,325,
116,825,664,423,839,845,484,347,245,919,663,702,161,107,151,971,736,844,376,
810,155,123,593,906,323,438,355,157,380,914,166,553,256,850,384,084,607,959,
685,298,092,206,167,767,076,864,718,136,063,508,424,622,907,467,684,970,786,
991,722,821,325,151,175,857,495,877,248,637,103,059,054,202,209,465,551,835,
325,452,714,758,736,906,696,890,634,431,818,716,742,238,106,178,552,229,933,
823,139,589,568,919,973,171,306,738,227,278,573,733,093,855,579,521,073,996,
690,474,680,750,054,026,637,591,721,211,943,553,695,743,419,410,767,656,040,
048,234,248,549,797,403,853,264,444,013,262,375,599,818,213,302,131,963,359,
933,275,213,844,858,697,187,994,708,466,558,038,515,788,088,685,353,283,288,
707,279,356,489,790,240,801,194,176,272,079,765,946,929,848,981,696,738,696,
846,061,659,268,345,710,637,850,809,934,982,795,490,239,497,111,186,861,436,
394,975,000,761,920,976,251,103,652,471,388,382,014,086,722,818,374,206,130,
451,761,294,534,024,047,464,548,671,249,508,988,490,291,476,424,098,867,134,
529,457,437,218,901,650,383,690,287,203,898,795,615,204,644,231,237,440,042,
873,136,615,462,822,668,520,269,215,738,589,925,910,383,353,937,884,731,565,
733,446,624,667,064,973,543,931,996,588,875,188,568,863,997,173,067,727,357,
322,938,011,834,817,809,780,063,773,516,518,288,050,242,523,709,619,886,652,
561,453,235,349,207,016,024,625,034,102,643,254,203,008,874,022,300,983,119,
548,016,505,508,275,607,696,499,074,460,515,141,005,950,663,985,877,269,222,
016,313,680,502,485,088,473,751,907,157,174,680,871,571,840,993,265,978,853,
776,534,619,479,264,950,859,890,015,391,605,822,309,884,860,904,097,458,170,
168,585,633,467,059,870,433,172,310,460,954,559,952,989,974,069,840,271,460,
455,251,889,355,414,654,253,814,619,753,498,363,388,998,271,712,335,761,314,
847,891,710,945,186,980,405,290,400,431,468,468,176,560,068,051,237,274,802,
459,851,637,656,479,153,536,570,396,917,029,368,809,388,769,082,792,935,684,
808,003,122,819,017,711,415,377,340,786,371,315,147,921,338,766,909,604,498,
772,964,359,306,066,679,046,890,393,611,117,813,899,632,128,383,484,629,060,
489,515,261,993,826,491,552,156,244,985,902,313,096,221,730,678,866,867,201,
661,065,852,355,058,185,823,722,626,258,389,063,914,930,262,533,961,210,246,
656,829,912,326,955,037,358,564,790,127,473,273,632,871,014,499,800,581,935,
309,745,878,976,660,005,225,451,330,274,372,374,265,816,079,105,720,960,609,
945,358,590,155,865,111,149,701,016,683,796,934,112,728,529,139,601,133,618,
214,772,511,428,308,512,636,784,042,302,707,544,354,399,658,742,220,165,140,
052,974,196,278,743,711,427,761,025,519,392,523,959,930,116,731,812,413,482,
396,574,764,001,921,407,121,868,243,618,018,922,956,187,879,508,176,127,150,
980,120,417,328,561,242,061,292,174,771,508,185,983,435,883,105,398,675,466,
502,884,835,257,763,986,971,738,639,620,018,572,260,190,088,822,949,581,580,
055,497,062,346,200,671,659,316,161,066,316,369,703,355,431,884,564,518,901,
737,128,115,923,652,483,654,246,712,765,832,996,807,798,047,954,740,111,025,
928,839,916,099,335,468,323,449,892,940,200,247,373,623,094,992,203,490,665,
666,905,458,105,418,437,869,163,425,850,929,295,063,162,693,147,257,094,726,
658,318,564,726,255,210,579,130,144,569,438,744,997,291,766,613,648,441,437,
650,184,829,380,686,138,921,444,545,162,233,769,573,305,563,231,860,310,525,
372,173,499,519,326,165,342,296,740,027,138,240,125,301,073,329,422,364,616,
988,256,437,608,719,671,252,734,141,119,497,374,882,615,364,574,187,262,652,
119,138,563,560,868,963,463,414,621,555,557,382,395,561,979,037,027,120,972,
427,292,268,818,861,279,989,599,411,874,011,204,467,876,474,384,266,122,958,
625,592,764,729,716,922,016,583,227,310,388,798,291,974,592,443,544,565,860,
322,838,102,463,561,695,111,303,772,107,076,827,166,530,491,756,844,430,053,
743,755,358,798,251,947,154,960,363,489,970,271,355,200,708,648,362,843,852,
135,099,348,104,658,166,464,744,739,744,427,287,102,443,614,064,596,576,170,
334,160,977,640,691,180,430,284,717,156,449,164,419,559,778,885,398,100,998,
835,937,845,535,766,963,916,230,971,701,613,658,883,865,711,120,989,618,377,
042,527,864,203,171,730,021,656,931,978,563,299,655,533,771,972,253,651,871,
439,781,920,963,030,225,531,621,160,949,563,847,937,317,153,841,884,152,412,
099,946,071,333,971,726,079,564,629,067,450,249,134,579,533,688,119,796,275,
145,524,196,355,417,472,947,140,133,555,062,014,119,543,894,890,956,587,904,
778,279,039,580,991,087,376,268,638,372,033,501,165,371,894,160,333,209,276,
666,926,558,566,296,983,381,910,939,151,675,603,944,127,909,364,350,523,343,
125,597,715,234,191,102,970,125,306,965,451,910,342,169,235,300,118,357,285,
776,672,652,042,067,356,194,720,555,065,329,112,562,330,920,659,778,878,097,
279,981,214,886,700,446,769,254,753,489,361,670,259,501,981,456,940,226,837,
587,612,052,054,675,318,403,087,521,336,769,708,981,931,580,058,876,201,562,
616,571,002,506,053,143,444,207,495,736,063,847,170,986,903,923,458,502,058,
479,336,999,199,819,521,482,453,952,213,141,447,122,424,959,394,711,568,844,
374,253,189,259,549,845,059,547,640,301,120,048,527,149,038,440,891,658,885,
276,717,252,302,119,649,494,367,025,548,742,820,512,302,084,821,319,102,959,
075,593,296,630,588,765,719,500,876,104,509,922,226,166,753,629,479,660,823,
911,486,514,682,694,228,688,060,251,664,794,513,687,517,606,225,313,719,438,
241,645,049,766,256,678,695,339,594,770,150,703,917,349,474,355,918,531,110,
786,500,628,536,775,269,169,687,641,137,876,702,581,191,009,827,276,824,884,
955,642,668,005,683,585,405,856,282,579,853,832,143,669,588,414,089,710,371,
409,967,294,967,883,964,014,699,680,083,088,497,128,712,419,131,255,191,455,
259,887,010,607,673,460,574,134,037,889,361,498,799,409,777,376,896,350,703,
975,185,544,094,365,693,307,973,795,424,103,082,785,272,980,886,813,946,627,
562,405,543,227,797,906,777,205,267,225,884,836,388,741,411,980,520,167,051,
969,948,652,491,375,518,506,598,605,181,545,717,527,638,723,734,966,524,594,
212,160,266,657,817,032,691,716,426,794,673,198,647,415,551,113,682,170,787,
130,224,877,152,844,337,260,747,946,028,958,475,476,755,770,554,750,122,800,
574,088,522,264,745,332,155,181,852,449,716,843,647,273,233,499,143,264,299,
543,767,911,433,848,528,779,002,446,303,204,786,238,381,924,156,944,750,224,
618,678,908,101,893,200,411,185,010,694,640,457,777,237,292,209,852,222,668,
710,841,332,435,857,264,744,743,370,653,689,780,015,018,968,212,784,649,622,
325,955,482,885,273,164,046,654,588,869,218,343,553,905,467,556,847,060,219,
277,282,234,678,499,505,244,870,615,478,412,360,495,861,948,650,174,704,422,
996,381,270,357,285,610,265,638,260,409,598,696,299,449,340,764,205,927,203,
258,369,394,467,450,347,656,191,148,126,659,562,866,710,890,903,459,258,798,
075,798,750,340,817,782,394,065,160,486,452,037,000,614,099,434,526,876,809,
758,087,721,052,575,398,525,499,035,192,497,739,143,903,652,812,601,624,257,
547,313,053,290,482,569,499,563,369,804,280,022,992,530,182,420,462,646,797,
434,026,846,211,276,695,453,945,134,573,626,642,159,699,157,723,518,227,240,
040,467,818,036,826,746,251,867,750,543,972,558,960,775,943,659,056,075,751,
221,294,489,441,150,109,630,100,022,274,355,511,280,470,088,907,868,264,905,
676,019,862,563,047,172,590,961,287,764,624,457,246,199,145,290,819,885,925,
950,480,222,809,931,845,493,190,687,793,830,620,463,023,205,384,391,443,845,
393,841,964,719,244,039,369,753,611,902,836,672,317,353,304,952,892,762,951,
301,366,282,512,407,173,396,308,847,571,918,700,589,377,452,379,718,529,395,
957,529,169,392,638,540,921,804,965,049,882,922,005,492,422,310,182,905,415,
408,676,775,486,388,664,598,820,865,599,572,281,832,409,823,860,399,429,488,
800,015,578,278,190,876,374,698,478,751,444,468,216,156,067,419,834,413,001,
406,099,096,626,412,552,820,585,702,458,089,429,085,949,737,261,109,650,465,
070,507,034,627,112,070,236,657,990,205,310,593,997,624,735,446,221,266,782,
651,924,921,975,285,108,848,161,665,922,602,902,897,561,136,335,290,658,513,
894,621,889,790,595,516,848,073,934,493,136,529,316,936,454,173,393,326,522,
312,159,030,456,860,606,772,274,692,443,966,212,310,997,492,483,637,590,312,
662,391,305,314,753,906,822,117,269,028,951,062,189,753,396,271,579,848,808,
772,142,151,723,231,099,095,345,275,399,272,613,224,107,989,872,291,423,257,
891,066,121,985,614,415,969,121,636,275,021,598,412,857,787,589,384,387,509,
964,704,837,699,784,488,734,838,425,967,966,494,581,253,282,247,299,431,320,
067,060,848,872,188,175,773,974,849,458,726,727,500,973,436,762,798,376,385,
939,826,941,236,896,469,709,476,255,426,141,254,338,019,487,433,286,442,287,
952,451,143,211,497,588,305,449,081,713,884,573,119,151,415,776,640,891,184,
727,546,575,232,743,857,418,593,019,516,502,621,732,291,983,723,116,526,484,
653,559,588,513,542,870,472,235,963,198,969,652,957,863,913,839,395,650,579,
928,018,994,688,976,575,444,729,938,949,461,738,617,171,461,441,022,058,614,
640,436,380,170,372,160,867,846,959,940,580,947,191,212,162,525,042,958,486,
149,565,696,421,056,412,950,683,558,954,313,810,085,104,175,113,284,986,841,
369,360,040,858,962,414,423,762,606,881,137,367,761,447,267,323,897,996,893,
636,912,755,630,368,705,641,376,244,030,991,961,274,121,835,968,896,333,001,
095,390,199,171,879,091,771,160,685,700,038,777,825,686,003,055,382,286,178,
578,244,739,121,871,335,165,356,528,624,365,640,890,019,991,529,127,774,293,
202,154,589,896,584,284,578,913,468,877,207,850,172,254,380,954,120,453,656,
510,110,222,352,081,857,174,781,993,638,418,321,947,897,112,780,175,546,972,
840,537,752,501,202,583,000,965,637,616,090,675,566,561,069,755,642,935,244,
336,484,389,872,600,819,060,982,178,210,800,048,437,298,995,630,013,939,161,
868,778,075,776,342,067,923,410,968,748,234,850,124,007,189,867,416,551,436,
008,285,489,515,327,964,151,087,386,893,488,689,633,001,489,094,194,470,041,
116,379,719,236,112,466,117,059,464,374,371,256,833,957,923,476,098,313,288,
055,798,806,927,890,925,097,879,058,885,873,673,524,539,881,843,297,335,834,
697,251,329,062,237,064,841,031,548,464,699,613,153,674,785,797,063,263,485,
621,551,450,096,097,168,587,478,522,120,745,584,827,107,487,054,443,392,180,
469,194,165,093,183,501,560,740,425,572,833,928,813,163,651,859,518,763,403,
049,616,355,239,105,355,451,107,360,394,412,176,329,856,351,245,448,751,380,
590,954,197,389,050,171,308,393,448,412,719,784,205,821,318,944,100,329,211,
997,769,039,372,478,991,992,317,271,020,532,567,060,094,133,960,424,399,327,
602,185,104,482,569,528,101,669,864,965,544,272,504,441,323,674,766,165,364,
452,721,976,547,556,873,278,129,640,610,233,910,810,925,933,866,463,125,510,
944,585,774,283,439,729,388,591,977,449,674,810,850,565,188,017,815,213,028,
775,332,360,287,745,424,407,442,564,101,268,536,058,837,777,551,675,220,160,
728,126,987,749,588,126,561,414,785,567,682,241,782,529,604,766,904,296,116,
302,859,858,635,980,922,066,121,006,613,064,125,121,784,900,855,221,809,204,
424,279,522,856,882,500,765,233,552,094,618,097,293,579,977,969,405,093,488,
876,039,510,575,583,989,422,913,756,481,028,462,933,033,778,411,612,532,477,
535,899,734,506,303,665,646,061,576,939,562,337,550,782,551,649,971,658,043,
259,909,843,415,463,450,508,535,045,915,353,057,049,579,488,067,833,784,049,
515,627,205,038,132,134,475,730,104,968,030,012,178,142,513,522,834,667,416,
019,728,061,430,267,143,851,346,975,603,947,007,759,931,251,503,554,472,355,
855,971,125,281,454,014,111,772,477,318,897,560,315,289,884,876,642,147,944,
986,413,422,193,414,669,671,150,964,897,676,833,303,355,083,725,832,992,518,
187,887,306,451,163,880,743,511,199,904,181,198,262,482,510,303,554,472,670,
596,694,223,492,765,643,219,375,370,765,163,049,162,849,179,454,275,361,241,
813,748,817,652,008,114,845,869,216,464,872,320,019,964,389,638,232,847,697,
652,283,335,402,284,181,084,574,438,125,379,360,592,390,873,054,078,447,194,
784,644,152,686,954,085,915,641,862,296,382,090,713,938,065,014,251,580,977,
825,850,298,809,037,838,429,772,093,162,319,951,974,601,663,745,698,520,301,
291,149,736,689,255,131,904,408,875,169,925,235,119,674,184,130,854,718,240,
919,272,335,398,984,012,762,004,575,213,623,872,601,476,697,285,137,798,711,
417,105,157,757,339,851,231,255,744,224,046,606,815,688,752,489,644,472,150,
235,305,372,953,317,881,626,286,028,440,367,453,931,344,985,980,273,291,220,
512,314,051,151,337,208,898,277,423,979,646,342,828,548,046,680,081,838,145,
804,945,136,140,408,804,049,702,154,536,392,014,871,809,529,206,085,722,618,
483,800,637,038,697,222,986,096,086,198,561,386,500,862,159,104,812,129,606,
661,069,340,432,410,331,670,615,638,827,091,562,567,312,347,827,680,357,488,
727,454,713,607,191,658,550,759,335,124,894,757,804,999,406,375,971,778,346,
272,622,999,429,934,529,153,008,797,194,808,352,492,309,210,145,996,560,524,
630,624,444,342,079,905,980,459,626,301,288,504,543,638,099,418,380,903,761,
311,716,175,167,952,129,364,299,764,996,365,809,255,162,618,922,420,584,078,
863,210,641,356,720,624,810,170,843,836,620,916,437,403,442,193,762,432,591,
940,639,408,493,547,818,813,669,802,489,904,265,247,919,043,043,424,850,787,
368,865,723,240,364,515,764,199,449,903,652,780,764,797,032,005,116,264,359,
764,799,068,603,544,788,548,526,948,167,168,740,959,726,829,535,345,736,840,
660,169,448,579,490,551,078,368,289,114,087,822,344,336,237,141,105,783,693,
459,903,171,991,375,085,461,554,599,282,449,892,486,641,649,932,656,474,307,
420,531,358,471,647,934,269,192,967,453,883,126,657,935,227,016,602,849,437,
425,064,482,996,208,647,062,978,541,015,635,130,109,499,326,921,592,387,111,
894,280,455,362,244,683,022,305,055,727,945,790,251,872,056,968,129,621,302,
631,396,379,804,990,448,327,811,319,069,490,491,383,506,578,133,693,088,302,
351,346,956,597,840,173,877,739,376,946,386,660,605,971,330,764,226,410,187,
999,022,488,972,099,383,896,869,655,645,862,171,938,760,085,822,605,311,160,
413,653,330,974,511,378,532,127,547,780,169,801,794,005,123,814,005,677,210,
299,244,646,301,306,054,679,537,675,706,455,812,120,355,672,247,847,301,791,
340,999,999,454,229,296,800,901,764,183,578,402,283,731,772,970,189,372,946,
573,442,596,110,022,824,517,928,786,934,831,217,821,957,205,112,769,269,740,
787,222,295,088,441,135,480,016,133,806,588,183,533,009,759,005,580,786,957,
761,028,159,337,115,453,313,756,639,196,768,496,147,091,446,185,421,991,845,
239,490,112,453,842,185,606,522,854,627,206,004,540,213,984,380,446,746,411,
026,957,879,678,298,007,944,644,532,864,374,328,395,043,975,178,458,893,328,
495,584,399,248,576,735,883,894,462,397,959,961,729,614,888,569,812,741,887,
925,577,574,026,348,168,523,066,825,179,943,204,589,947,540,389,844,611,787,
521,945,082,121,120,905,145,420,335,890,633,907,280,758,302,946,345,943,323,
262,936,010,086,183,016,054,587,990,009,550,509,753,277,875,918,826,075,672,
542,391,715,828,008,678,888,549,473,837,621,230,907,224,294,156,526,638,221,
146,609,520,306,312,313,211,958,280,590,492,697,869,563,868,866,706,181,306,
641,085,000,129,842,655,211,376,298,073,604,071,672,011,598,060,137,171,920,
901,887,306,355,924,824,109,136,854,778,561,124,980,986,386,126,404,245,400,
643,773,811,565,234,788,721,492,824,082,287,914,230,509,324,935,414,220,224,
834,425,830,246,810,776,821,840,149,229,399,855,559,377,652,803,865,249,802,
728,508,031,137,077,355,961,162,169,545,069,347,583,453,120,559,086,331,798,
671,796,299,216,910,671,020,933,305,915,668,096,839,696,615,563,567,575,364,
006,456,021,707,580,123,811,400,251,468,707,318,905,563,095,396,288,610,824,
895,439,101,789,371,649,554,027,551,301,835,186,127,898,959,579,397,395,913,
387,105,390,950,206,611,802,509,844,879,179,572,298,765,467,948,046,315,649,
515,293,268,538,980,967,704,132,622,772,610,148,855,548,243,625,517,322,178,
963,951,290,638,742,506,017,235,549,276,808,125,577,062,929,319,042,176,209,
483,337,807,048,033,985,360,293,778,114,533,418,715,067,816,126,530,962,516,
705,263,067,117,314,777,188,265,660,541,096,530,644,519,687,562,539,873,441,
884,645,837,512,952,759,426,302,455,423,422,705,541,398,430,829,241,514,207,
062,508,142,849,842,435,764,142,923,888,272,064,606,491,899,618,019,306,262,
420,599,399,661,651,360,685,218,688,418,077,900,912,252,032,570,591,416,063,
293,961,919,370,045,004,129,211,511,794,767,426,662,648,457,602,799,669,251,
520,820,641,213,941,062,687,902,890,937,885,336,772,083,657,233,318,423,557,
952,167,175,202,794,504,379,448,966,964,600,182,359,357,948,526,378,832,925,
310,886,735,326,221,481,359,617,212,128,622,934,979,389,486,121,022,166,451,
105,595,952,834,618,934,112,867,410,489,683,467,580,369,527,034,761,172,183,
152,233,746,271,930,603,482,471,749,206,401,942,715,164,816,286,855,579,458,
144,552,124,445,739,804,168,070,482,018,405,214,842,881,245,029,376,426,464,
778,157,097,979,142,545,912,301,563,846,039,403,059,846,944,749,788,433,206,
342,596,009,655,543,405,699,510,430,229,029,428,269,342,446,087,537,009,651,
752,707,805,675,710,769,486,821,930,152,637,388,141,334,423,137,017,222,678,
999,184,496,930,390,847,547,257,627,209,103,648,745,274,542,908,104,228,251,
815,523,655,463,307,606,976,607,412,284,203,852,035,744,002,673,306,756,028,
301,032,333,225,230,270,934,460,641,164,601,383,740,565,230,377,019,145,805,
597,247,255,120,563,076,675,044,546,573,288,834,710,527,127,701,596,287,971,
620,343,407,207,819,344,622,110,513,441,605,844,223,605,831,786,254,982,866,
036,715,853,778,621,416,992,827,845,664,727,848,948,351,926,107,235,708,283,
564,309,599,998,972,353,380,162,924,707,003,098,035,062,024,034,329,138,204,
055,345,669,133,166,690,914,917,571,618,580,551,211,295,460,438,401,976,442,
740,846,650,685,025,978,515,262,888,880,771,315,210,529,570,006,720,728,045,
720,290,513,572,788,935,880,037,885,687,227,139,318,845,369,811,231,770,352,
136,499,070,723,197,490,538,723,907,829,431,034,261,772,780,110,741,043,035,
983,852,729,252,123,375,218,952,974,235,415,845,523,112,348,772,551,804,869,
735,251,735,814,774,917,871,049,631,010,297,513,355,166,478,765,266,795,400,
403,732,917,668,887,904,438,246,877,460,255,565,496,711,307,126,288,015,557,
607,576,055,118,127,584,590,272,658,404,839,271,599,153,946,539,343,717,514,
220,596,824,809,474,971,392,067,274,965,072,040,703,414,422,091,292,571,001,
424,717,708,804,031,628,874,700,003,329,795,233,272,276,621,835,378,004,768,
320,741,972,677,803,415,055,725,699,388,664,340,891,790,477,776,136,737,858,
095,233,200,474,997,634,714,739,281,070,918,001,254,291,193,251,819,767,894,
098,496,631,942,458,403,045,368,659,344,310,704,851,155,032,039,547,250,725,
010,121,092,069,664,511,784,177,226,135,906,815,049,494,655,571,840,158,280,
771,333,282,285,239,309,912,684,437,059,098,189,142,849,558,436,342,453,810,
707,411,419,610,359,638,063,929,679,497,617,235,250,860,587,424,433,993,548,
102,343,126,695,099,253,720,793,868,806,450,614,174,352,109,408,253,727,594,
207,260,539,186,331,356,488,006,105,718,327,785,699,532,429,156,746,657,251,
907,828,475,452,298,605,408,912,280,153,401,522,898,817,797,719,758,072,978,
437,143,124,033,855,120,695,855,190,067,346,483,406,557,706,437,018,802,639,
968,612,618,689,978,949,429,635,348,683,935,916,844,450,219,670,148,582,434,
563,623,354,627,075,201,585,359,959,651,989,562,183,628,151,891,085,008,596,
943,431,012,873,709,909,808,559,465,796,122,954,947,349,256,811,459,891,045,
151,894,953,221,802,865,872,204,658,443,082,149,991,345,803,267,607,009,761,
247,184,390,434,635,767,427,037,684,253,760,585,472,203,805,154,252,889,511,
045,020,756,736,181,142,903,428,835,708,388,735,180,753,167,023,128,039,269,
920,875,755,524,246,463,540,691,646,656,873,030,228,018,243,901,967,796,725,
467,364,640,756,209,235,079,369,426,230,602,607,225,045,002,136,847,437,616,
226,123,061,792,382,374,210,656,192,373,683,424,412,486,606,108,569,455,902,
646,294,866,451,794,217,186,985,855,047,179,967,705,570,899,349,948,066,157,
601,923,644,637,614,879,936,046,676,627,119,550,465,722,994,685,659,947,073,
195,319,972,111,366,571,987,145,721,292,459,850,930,532,829,125,526,215,774,
955,324,586,912,701,291,834,119,085,637,249,897,673,212,893,982,856,643,644,
960,460,345,244,163,348,798,936,191,746,467,971,193,301,007,709,891,327,381,
844,948,168,198,798,267,196,891,197,574,901,201,072,314,798,040,429,862,316,
244,555,073,264,122,444,238,564,499,921,233,400,304,669,031,559,809,854,303,
058,585,300,746,467,359,182,146,256,696,013,051,322,707,554,619,626,334,880,
549,993,266,255,627,744,801,089,026,183,559,514,569,073,983,496,752,875,674,
306,431,214,988,999,319,479,180,661,672,986,669,920,609,232,430,111,800,684,
329,255,806,990,630,208,056,454,031,337,797,050,731,130,699,551,643,885,664,
389,200,803,459,502,502,447,510,273,887,440,732,583,211,432,754,745,777,763,
378,218,999,876,644,112,622,516,036,497,516,342,437,574,136,018,707,001,682,
750,867,878,623,531,276,705,624,614,292,265,543,926,102,209,179,524,139,574,
005,279,321,710,526,228,138,159,781,777,662,850,715,066,874,364,598,127,239,
079,812,496,969,470,707,496,363,502,076,264,229,688,723,020,268,860,264,612,
622,021,272,103,586,501,089,611,904,276,281,416,569,940,503,469,654,404,261,
801,260,944,859,936,356,866,089,296,857,137,845,678,674,546,900,055,553,262,
106,239,419,554,861,608,748,940,967,671,023,150,724,358,348,300,015,977,102,
291,027,966,216,009,125,741,347,174,065,570,071,307,069,052,236,656,292,255,
273,617,148,901,619,164,492,054,739,599,307,707,563,002,137,125,120,574,909,
665,017,186,852,009,559,654,843,049,717,796,422,528,906,899,455,262,210,798,
984,134,024,594,367,834,535,564,963,011,788,760,963,656,770,987,291,022,738,
428,894,362,006,430,841,980,157,653,140,621,925,623,128,626,468,919,592,018,
138,613,763,014,745,773,758,840,906,635,026,297,446,485,642,076,975,930,749,
683,333,175,597,445,171,653,928,861,933,293,648,040,597,059,675,072,366,964,
741,770,752,963,268,306,029,892,667,324,401,992,533,772,838,255,058,394,603,
431,465,914,748,649,022,634,026,911,654,965,859,794,511,584,839,368,597,429,
580,390,673,558,015,773,104,117,870,302,711,882,149,397,157,242,388,606,831,
071,028,044,483,588,622,890,895,739,252,655,111,633,508,279,621,941,293,544,
118,151,210,840,330,436,192,969,101,951,851,594,908,084,125,764,399,432,214,
895,446,407,896,190,882,291,959,505,760,029,292,544,072,378,832,846,382,709,
723,407,698,957,752,507,454,987,438,288,347,558,521,214,748,364,474,537,988,
439,827,912,995,418,828,767,957,855,583,189,007,289,551,204,058,321,076,042,
642,781,563,820,688,097,626,950,584,476,173,148,899,898,704,373,262,036,233,
184,353,443,350,558,980,366,279,346,361,956,844,456,815,412,750,627,913,637,
397,474,931,531,804,386,807,019,447,516,540,194,772,290,029,145,026,817,207,
760,948,479,938,224,952,132,181,450,071,139,351,432,137,766,002,129,080,406,
518,263,167,810,063,433,450,539,475,630,022,821,899,555,989,133,411,516,386,
383,193,378,944,457,067,322,461,399,841,668,043,253,070,167,105,259,638,932,
557,282,885,835,096,807,067,558,578,194,739,984,476,150,061,617,324,723,357,
325,270,742,182,577,728,112,507,474,054,691,051,976,429,684,329,212,038,923,
856,057,856,805,751,909,840,277,311,935,163,847,664,744,436,194,440,321,011,
712,775,633,452,828,700,139,087,891,243,796,624,464,111,711,170,927,417,294,
202,033,914,910,871,179,472,424,316,089,376,333,039,728,330,179,208,651,694,
915,425,795,132,204,203,217,769,778,118,951,869,220,563,225,483,859,179,216,
907,529,804,236,068,689,842,812,191,742,614,214,833,779,734,279,135,871,849,
680,175,454,502,323,829,784,740,139,864,521,932,457,067,484,030,412,005,528,
492,106,306,598,583,588,082,833,384,166,812,669,897,925,493,978,238,724,211,
558,321,688,427,675,234,109,455,318,043,790,379,268,239,690,873,459,074,063,
086,323,224,283,750,478,778,945,046,688,842,748,894,277,995,950,723,587,912,
825,176,859,022,558,333,654,234,160,024,759,795,531,703,042,657,365,489,043,
960,254,188,120,883,079,198,485,630,634,093,859,616,229,947,848,985,655,734,
535,275,932,337,547,715,457,468,054,146,741,035,645,790,525,119,211,960,504,
315,878,955,044,298,813,195,074,121,409,864,877,519,186,385,893,024,064,609,
591,135,726,838,899,771,009,455,188,186,437,034,834,116,347,029,530,817,825,
988,040,562,923,459,668,931,683,806,876,545,052,762,085,447,677,957,565,922,
841,817,798,898,372,845,080,928,848,668,660,485,248,468,507,237,618,879,657,
337,325,149,939,563,946,123,761,147,690,755,540,294,830,636,933,592,338,210,
389,550,390,009,487,200,130,820,000,271,287,605,929,164,949,692,384,069,707,
251,553,179,721,480,090,699,842,263,797,134,818,717,747,578,829,954,134,006,
860,021,438,917,896,912,540,605,905,321,677,744,431,743,008,010,941,398,591,
534,758,166,537,002,099,972,667,225,495,997,168,024,028,735,621,565,282,611,
753,066,271,509,153,279,391,335,990,753,246,043,784,782,413,316,936,865,019,
651,376,384,671,114,284,750,274,898,761,943,023,715,838,569,214,847,579,361,
859,476,212,785,030,764,987,073,251,429,581,834,106,632,484,820,085,095,945,
340,874,688,410,137,996,268,559,161,111,368,097,754,860,734,295,267,170,723,
795,654,251,229,140,467,725,721,524,534,953,789,076,251,995,066,909,709,047,
224,988,089,264,835,619,552,991,822,876,229,523,599,037,192,449,908,755,847,
387,544,027,952,184,290,668,736,890,703,392,274,119,012,283,826,443,367,907,
631,605,711,156,127,482,210,494,909,085,017,738,060,984,011,990,711,404,557,
505,242,439,861,581,213,959,613,436,464,876,512,331,290,430,470,529,243,053,
202,600,219,875,547,322,666,154,492,301,231,852,361,230,325,617,618,856,407,
865,852,567,206,275,728,117,018,911,836,193,261,166,067,079,091,878,859,732,
164,734,964,291,033,405,539,721,242,357,609,727,364,689,386,073,617,864,751,
313,172,531,492,816,632,562,598,981,432,257,155,870,288,320,189,067,196,957,
431,601,055,280,556,190,517,652,161,237,011,335,946,615,000,448,339,231,712,
169,547,311,646,749,919,800,720,312,753,059,100,393,977,751,064,146,657,685,
077,764,572,119,981,702,626,768,539,019,267,495,698,765,550,767,005,695,033,
886,447,775,101,213,925,755,116,643,033,030,752,651,215,792,797,840,599,143,
296,049,529,706,105,096,467,498,410,193,636,045,949,871,473,547,435,682,691,
162,790,685,910,248,802,131,122,928,601,156,852,531,055,713,632,080,814,264,
355,700,791,923,883,170,138,816,514,200,417,575,805,526,980,344,935,645,380,
938,780,693,183,434,203,467,992,411,895,429,508,237,916,100,546,227,860,330,
418,093,491,534,150,744,412,306,045,002,422,412,733,416,456,565,011,319,159,
606,641,270,315,386,651,527,927,371,041,675,040,943,974,531,550,224,412,408,
817,375,689,088,685,310,968,980,119,098,260,388,675,826,914,125,973,398,540,
072,842,340,963,176,287,068,760,001,876,341,657,483,286,550,761,017,031,907,
210,521,539,748,042,511,938,489,961,352,499,726,409,518,778,080,588,538,524,
413,350,042,637,952,797,733,944,778,604,784,981,834,145,093,066,588,902,205,
384,226,876,823,936,578,218,616,283,126,847,527,587,285,280,139,145,728,469,
310,183,280,395,260,479,054,376,066,953,803,255,621,715,248,125,656,929,652,
299,375,306,061,635,529,862,206,563,401,224,962,109,048,185,448,309,789,291,
149,992,261,377,948,518,687,964,378,644,890,613,017,327,636,335,256,934,768,
347,679,170,809,041,143,315,005,526,556,431,774,351,505,926,943,427,895,005,
274,595,076,916,631,270,364,633,639,063,411,200,771,493,411,920,561,920,544,
288,410,174,968,202,402,390,338,460,532,336,785,560,184,598,081,154,449,162,
141,593,669,328,942,202,104,806,038,753,662,513,246,359,981,287,974,056,139,
846,305,889,860,979,740,796,358,426,725,389,955,510,740,304,331,079,889,939,
332,401,787,194,769,335,399,402,992,271,677,248,522,572,319,201,271,292,221,
775,272,989,843,260,569,584,992,236,834,700,447,198,525,519,152,479,811,801,
039,025,850,977,535,589,731,850,559,537,875,133,921,526,759,042,516,913,117,
259,248,572,096,579,512,713,309,324,207,127,729,618,158,526,054,888,502,165,
925,625,345,452,384,049,075,454,831,362,248,261,613,151,669,224,203,302,455,
053,953,404,025,841,591,262,870,835,700,853,855,300,356,021,284,555,441,721,
844,588,477,174,502,259,367,278,748,216,115,827,873,306,675,709,915,755,093,
011,940,254,456,660,207,836,934,697,218,437,654,541,453,564,177,580,966,260,
708,019,902,650,209,075,393,975,327,558,890,280,571,669,784,026,385,201,260,
002,564,946,467,552,568,405,820,115,660,093,874,990,529,080,010,474,221,748,
840,724,376,949,041,501,674,419,098,618,647,076,566,841,525,389,739,375,003,
937,738,590,918,578,864,716,555,188,063,324,192,734,975,594,341,923,645,182,
902,854,955,077,785,950,949,059,077,633,002,090,307,493,206,277,354,302,609,
781,198,657,415,268,779,952,390,523,288,950,952,232,565,736,715,692,282,922,
134,492,594,600,322,054,313,251,523,210,640,093,582,435,010,840,303,080,992,
241,050,809,088,525,873,923,843,810,835,559,926,832,598,435,644,552,060,689,
368,169,223,466,507,949,096,623,061,962,734,888,958,902,142,857,553,250,865,
424,944,413,282,419,354,731,945,854,795,764,413,345,789,083,313,995,417,419,
814,230,981,271,300,510,662,894,619,509,004,144,618,591,074,080,861,586,393,
141,672,924,993,525,012,804,428,183,029,641,107,570,979,113,028,913,920,770,
482,348,141,201,061,291,535,205,980,269,811,694,572,257,215,751,545,109,915,
645,251,227,186,808,352,066,416,005,453,516,010,856,739,686,643,717,758,010,
220,235,155,377,581,099,120,086,561,590,061,958,083,282,378,564,430,245,060,
705,642,726,811,391,997,967,269,076,262,656,343,806,481,980,831,331,738,232,
482,252,964,435,587,277,404,542,040,028,494,684,339,162,369,561,319,568,568,
229,765,341,695,633,795,370,126,466,034,647,692,435,532,329,776,681,698,912,
546,164,698,642,353,877,464,313,421,345,208,548,090,522,396,488,785,771,044,
189,687,251,643,608,398,402,075,549,485,968,985,358,335,948,392,600,887,876,
642,913,246,174,682,817,805,089,609,271,242,022,254,728,420,943,180,564,759,
885,725,705,189,966,147,554,115,501,846,119,312,955,436,338,068,514,150,297,
781,066,173,908,250,200,319,035,580,705,958,003,209,973,627,090,607,353,198,
368,552,473,585,196,717,960,537,186,564,038,936,658,652,863,038,287,196,673,
490,669,471,614,004,292,490,982,960,108,163,524,994,698,302,623,852,359,362,
779,292,972,135,909,715,975,399,405,358,271,772,520,873,693,752,824,773,172,
415,385,585,447,904,997,254,185,933,672,141,154,719,868,016,642,506,609,214,
081,954,594,130,423,290,737,984,683,612,935,507,126,302,639,124,651,310,987,
491,494,854,858,295,500,156,608,551,908,857,078,848,021,204,726,279,169,872,
972,294,516,461,952,847,181,447,290,626,490,516,952,638,723,932,579,260,892,
508,921,732,693,594,229,560,458,045,671,741,211,495,066,454,756,440,795,293,
196,285,395,351,207,516,961,554,934,687,020,238,460,348,913,729,146,225,971,
309,120,575,236,021,167,990,311,273,834,862,960,953,914,229,301,410,428,166,
689,918,255,013,333,783,492,903,922,528,371,743,698,366,478,266,636,653,581,
309,741,982,994,267,192,502,002,371,940,979,563,093,928,960,860,923,873,478,
199,830,738,924,888,032,918,967,169,410,930,626,708,506,967,493,516,325,661,
800,581,419,901,067,869,475,447,662,407,836,515,702,653,319,811,880,843,972,
991,029,302,994,407,169,807,920,945,124,022,214,573,863,359,974,196,994,497,
059,195,193,860,828,343,185,779,794,003,607,630,558,799,158,728,973,419,344,
670,326,258,764,994,596,247,516,450,551,013,733,468,358,086,674,460,210,969,
553,218,558,678,116,349,865,887,359,542,265,236,995,819,671,310,227,346,100,
294,209,394,123,856,275,815,234,973,036,461,263,903,762,762,311,600,098,527,
172,785,258,566,806,419,908,142,738,988,662,402,201,634,749,447,116,019,818,
531,183,428,578,138,389,212,443,640,941,754,767,811,633,907,765,400,984,284,
870,290,364,195,056,868,650,551,518,008,634,999,282,585,540,924,331,580,298,
227,164,680,052,052,307,111,012,450,744,946,198,221,394,366,987,613,576,744,
924,290,676,549,913,460,023,651,280,108,978,157,372,980,090,182,185,579,322,
900,085,041,783,725,184,619,028,525,717,276,062,224,400,034,116,200,698,575,
896,654,406,037,396,291,003,571,393,158,424,920,348,154,401,014,457,779,668,
005,228,822,633,508,578,542,530,312,091,919,653,984,283,382,654,093,042,854,
793,988,184,929,234,269,354,933,151,440,223,519,869,006,455,316,884,951,423,
048,604,283,669,328,793,221,772,055,437,609,664,255,704,463,399,457,628,337,
832,497,392,697,256,721,119,110,305,620,317,160,808,867,436,051,373,488,624,
571,926,832,436,141,167,230,182,965,223,374,226,780,996,524,403,195,039,327,
410,511,372,530,562,663,000,824,608,886,745,973,316,193,982,084,461,191,524,
043,304,364,443,475,722,529,517,369,453,212,090,242,033,918,932,020,386,199,
082,434,256,675,171,314,145,523,021,086,745,804,877,604,078,428,381,101,547,
582,516,475,621,348,259,336,751,225,240,029,433,295,498,784,676,099,158,374,
343,122,686,186,319,934,272,821,427,611,540,512,832,408,661,336,748,997,992,
584,377,876,350,658,804,686,675,866,182,854,094,374,653,546,305,359,611,651,
587,861,469,581,369,696,172,503,167,224,640,556,702,817,781,957,775,310,942,
656,033,825,135,017,287,468,106,004,150,280,066,431,725,427,352,595,062,832,
176,777,286,460,995,687,489,938,563,323,752,747,911,862,753,027,497,253,772,
689,164,819,398,258,830,609,112,190,723,045,375,125,784,941,991,230,547,343,
956,302,618,557,474,601,013,585,394,933,414,635,903,247,559,549,853,201,922,
971,451,647,116,818,127,173,604,901,345,253,548,547,073,295,525,107,574,105,
282,604,386,559,003,720,850,595,332,121,334,808,959,669,964,904,768,407,524,
541,792,848,428,353,424,733,712,395,153,760,977,883,689,430,602,127,482,535,
619,674,349,681,803,804,221,204,781,135,880,411,352,291,738,017,705,034,533,
947,647,104,947,934,022,912,630,322,644,463,706,589,369,363,065,378,454,236,
850,735,157,292,866,059,002,036,969,175,815,307,464,095,123,153,652,235,743,
025,582,992,293,020,837,334,517,569,229,839,571,173,731,096,467,588,132,540,
062,364,234,990,687,387,160,131,671,232,339,092,073,847,379,884,731,625,248,
150,684,905,060,104,553,117,794,767,037,676,694,208,154,932,085,919,661,704,
808,003,174,890,703,156,107,776,653,447,978,121,886,476,498,709,125,932,356,
125,090,291,138,410,355,381,003,126,366,677,726,567,145,899,474,581,311,761,
647,713,376,769,795,542,241,400,900,738,945,130,348,161,570,905,139,432,938,
019,073,445,951,944,142,049,550,923,990,169,499,768,911,484,758,405,918,047,
234,536,608,120,121,861,969,348,537,151,864,833,612,490,804,075,684,386,891,
159,015,109,547,187,513,940,769,935,105,704,561,473,281,517,238,163,322,311,
488,346,143,811,540,865,872,710,172,315,852,853,998,993,774,405,273,039,332,
346,730,161,723,415,843,982,948,140,530,690,177,170,209,769,208,600,226,775,
270,468,871,126,833,493,911,728,567,953,426,634,569,093,721,086,826,001,605,
141,452,433,146,635,259,556,833,173,426,561,051,238,029,688,944,622,980,968,
716,724,400,075,397,492,828,378,890,216,200,877,498,132,095,363,283,262,114,
871,513,527,942,786,689,049,585,025,191,976,328,491,512,633,294,972,594,242,
910,264,849,478,460,683,510,412,522,500,589,041,945,571,013,408,171,517,411,
474,166,514,838,807,398,192,137,140,287,230,115,469,136,441,428,793,014,158,
299,276,418,648,398,610,299,463,099,401,618,787,984,480,473,032,193,827,231,
930,635,843,277,272,993,591,953,459,162,587,545,580,811,863,461,926,968,127,
725,848,368,461,764,640,424,103,689,916,602,006,429,331,948,337,325,160,415,
745,413,900,271,882,562,164,927,445,759,634,629,582,503,689,461,177,312,405,
584,507,952,332,218,170,499,507,348,846,346,390,004,676,100,008,468,943,614,
394,531,590,271,462,044,606,321,488,850,193,707,282,607,651,073,841,361,769,
381,468,108,177,572,603,873,798,004,308,025,504,243,621,934,131,753,963,979,
086,938,276,580,199,689,438,965,262,871,340,076,657,037,919,194,213,685,343,
718,486,314,033,938,196,486,614,593,232,607,944,590,389,408,400,760,877,800,
531,750,532,944,372,037,058,444,299,184,037,323,717,327,243,634,716,004,752,
340,575,882,434,368,041,239,069,560,468,078,512,680,061,334,951,931,422,918,
149,832,536,273,056,150,185,635,983,707,787,978,929,134,844,388,457,214,098,
803,607,348,799,122,051,881,790,953,673,025,327,968,332,620,067,647,415,686,
618,116,906,672,510,923,106,891,435,134,697,112,601,321,468,497,947,334,171,
197,982,714,453,439,470,120,894,886,668,645,427,811,611,436,708,707,214,893,
377,032,615,650,860,745,421,156,349,223,315,310,366,266,543,980,791,553,494,
823,322,120,157,268,830,276,824,372,185,078,600,115,939,200,395,609,977,267,
706,400,009,552,544,393,249,589,098,774,212,499,626,807,300,641,630,271,631,
661,154,590,219,439,570,803,882,762,812,148,107,168,408,892,081,434,790,919,
598,386,651,075,540,962,614,886,617,321,950,943,064,409,751,118,542,129,255,
967,888,016,812,307,066,431,167,706,401,467,267,680,009,030,270,186,092,416,
137,738,849,544,334,207,231,444,379,315,053,536,481,366,094,649,673,886,726,
641,147,920,262,603,922,281,332,118,808,695,620,510,822,397,010,888,420,989,
778,638,195,744,478,132,872,098,473,133,118,918,779,537,549,028,999,983,053,
130,845,562,835,826,931,541,253,608,290,106,526,233,121,738,182,610,382,544,
750,489,506,062,847,904,712,178,184,008,206,314,774,125,399,391,975,467,362,
404,185,787,578,191,716,279,137,133,291,850,790,582,895,294,378,990,873,871,
299,646,114,190,619,675,491,060,561,080,632,673,646,125,590,466,595,238,202,
491,479,269,571,616,904,464,883,336,931,407,985,229,245,391,768,406,406,400,
611,463,921,065,217,055,759,092,736,458,458,916,996,273,253,781,481,468,745,
465,946,263,882,676,561,360,733,471,318,193,765,189,972,748,355,441,019,626,
441,110,878,728,803,422,288,159,428,557,905,816,427,309,832,448,933,921,105,
000,824,024,579,850,304,998,786,078,466,355,908,312,730,877,071,576,117,438,
795,912,309,222,309,573,220,247,616,218,860,394,710,115,648,281,230,752,906,
724,105,504,852,601,203,981,387,861,377,974,413,307,869,901,874,081,294,227,
704,272,066,901,065,607,216,376,995,509,309,011,491,474,838,243,520,986,963,
189,255,082,508,270,737,296,798,557,756,707,696,544,355,284,346,186,297,037,
128,780,199,574,641,805,921,983,292,222,675,498,919,377,605,363,965,341,320,
232,259,681,406,727,341,885,125,129,810,421,270,511,790,633,397,257,196,219,
928,649,192,280,135,949,151,818,349,812,998,683,671,962,653,135,631,105,371,
485,087,849,123,328,601,107,617,159,011,353,420,983,243,966,396,470,688,580,
233,368,146,861,192,292,254,677,131,409,700,918,928,696,057,784,985,305,150,
175,356,897,185,604,331,529,979,971,944,433,525,506,732,064,411,370,462,291,
931,693,431,654,340,984,669,716,252,651,471,056,298,995,233,971,740,039,940,
709,454,337,938,846,787,320,912,410,034,739,238,419,611,785,376,090,350,013,
941,602,497,105,244,651,434,577,046,935,367,636,355,253,814,559,675,199,651,
945,680,529,922,542,819,826,254,726,286,377,208,475,468,907,501,080,197,552,
377,262,924,239,192,879,832,329,582,291,841,064,642,762,239,936,997,735,121,
522,533,696,590,471,273,805,896,760,978,463,218,105,121,401,896,458,539,124,
047,601,808,878,606,259,154,913,532,335,449,794,953,968,455,841,948,299,929,
142,558,969,643,705,064,659,930,491,971,930,062,456,178,736,825,513,330,317,
139,582,715,440,933,122,541,148,432,056,037,886,246,097,236,946,189,216,076,
983,232,432,157,810,459,668,635,853,803,695,440,681,595,145,601,201,984,194,
089,659,269,803,788,045,797,392,621,564,945,765,959,546,161,706,188,336,775,
636,472,556,589,081,147,530,261,809,112,004,920,375,003,104,298,786,684,144,
719,612,686,790,446,305,164,499,071,734,290,788,869,391,662,897,729,736,241,
192,903,558,365,058,267,227,804,383,885,657,093,566,103,950,089,654,100,807,
144,231,066,764,800,467,980,460,345,992,624,118,058,323,611,296,071,509,561,
254,897,762,671,039,112,300,288,843,256,913,520,037,239,912,538,007,303,610,
853,111,970,204,468,181,457,453,281,833,004,461,550,769,369,945,272,508,811,
503,587,180,068,372,698,212,072,106,221,584,914,723,620,409,356,722,589,547,
585,409,855,282,995,913,836,734,358,496,635,607,677,644,907,209,290,686,178,
523,493,673,179,306,341,661,073,485,653,977,344,937,424,264,783,403,366,721,
293,643,033,693,794,340,637,903,779,115,596,999,252,672,997,290,080,439,649,
241,435,518,421,432,590,576,163,768,675,777,032,781,944,009,953,877,607,998,
529,231,329,543,130,717,937,992,433,619,119,007,316,051,506,401,924,537,874,
681,636,396,532,069,270,765,887,885,522,292,446,104,506,333,274,559,486,321,
804,091,497,822,198,460,650,779,741,700,729,240,734,493,963,058,458,199,090,
870,856,301,913,317,596,333,089,385,993,263,025,693,776,043,204,004,990,106,
488,031,026,275,836,096,781,704,936,741,431,466,831,848,897,233,135,673,046,
889,368,426,408,027,328,785,993,812,547,414,738,172,695,500,618,952,163,094,
899,770,806,398,836,053,531,966,608,199,351,619,270,755,923,425,965,149,677,
877,059,171,829,451,141,318,368,771,687,684,301,333,381,164,658,628,648,427,
911,387,809,880,343,173,119,499,268,886,887,843,711,752,282,781,527,581,426,
292,997,676,464,724,124,468,357,415,477,978,288,414,923,858,050,320,732,293,
185,020,034,247,442,782,886,213,675,284,791,838,869,781,947,791,054,829,303,
346,392,360,945,597,082,389,754,540,935,164,539,772,027,993,871,471,185,441,
622,726,023,220,116,782,486,337,440,263,966,894,279,227,499,057,145,969,305,
571,621,046,670,470,408,762,541,364,804,652,814,607,027,059,307,111,166,968,
164,799,085,561,561,607,383,177,872,053,358,074,356,264,989,447,970,916,294,
535,212,965,097,180,856,547,163,505,958,943,678,854,977,746,772,883,269,366,
774,222,638,176,216,664,506,783,907,138,753,409,612,108,987,543,790,005,244,
502,637,340,836,007,385,778,287,292,211,535,288,789,983,290,185,282,998,271,
964,647,128,298,010,337,974,105,440,042,354,810,131,076,863,023,924,063,911,
013,920,422,240,596,306,871,451,865,448,813,177,861,028,929,540,541,433,258,
199,778,782,485,969,288,655,534,916,066,421,730,744,522,024,117,511,775,768,
185,549,860,506,175,153,871,924,156,579,169,771,877,518,918,157,625,382,496,
654,207,683,644,726,116,597,347,758,916,981,875,424,022,932,121,373,113,625,
153,626,046,090,653,773,189,698,173,344,872,613,333,548,347,174,951,108,313,
600,832,773,150,665,584,848,020,138,935,071,907,022,139,461,822,430,697,474,
583,131,560,385,011,883,336,644,494,530,495,619,471,450,846,498,959,692,383,
915,163,914,502,818,242,225,599,039,377,818,547,796,427,711,480,371,816,146,
144,709,077,225,098,591,794,636,930,125,029,017,909,652,507,956,860,038,504,
804,554,893,749,746,993,123,986,384,393,163,187,746,512,636,182,890,524,590,
950,370,131,628,297,632,199,402,020,836,010,420,899,718,509,926,209,418,450,
863,020,216,026,923,149,423,490,572,971,533,766,149,975,048,211,683,563,930,
044,407,561,448,382,959,516,799,423,543,368,081,789,965,403,480,698,310,198,
844,325,293,748,604,996,466,457,003,188,224,126,139,973,910,257,376,978,233,
790,543,296,602,191,324,668,779,323,547,009,721,477,299,297,286,375,452,936,
668,077,259,134,393,888,933,656,620,563,590,025,293,774,804,504,948,549,975,
928,305,150,927,438,959,790,422,088,971,368,731,446,834,501,293,649,358,332,
481,266,184,103,640,540,346,082,605,745,440,702,915,904,070,702,881,134,617,
851,328,930,175,237,501,536,555,897,672,987,583,203,808,519,021,275,269,666,
304,078,277,825,219,768,583,628,270,712,823,987,301,092,767,250,683,261,324,
413,717,173,717,193,842,613,594,369,567,763,638,995,002,818,811,836,389,969,
788,905,473,467,053,006,169,613,396,475,352,354,248,678,110,381,865,047,471,
834,825,832,290,617,345,492,453,475,765,910,744,661,420,803,506,469,746,229,
039,831,484,991,696,730,753,915,941,708,534,311,882,949,960,733,039,695,137,
394,569,236,245,121,468,816,501,709,554,264,569,427,482,675,575,790,647,634,
424,111,969,228,784,969,125,858,258,440,688,862,731,504,412,382,241,655,366,
990,414,290,351,243,138,261,395,877,040,282,311,886,395,911,026,215,213,134,
174,118,113,945,103,696,596,516,555,691,834,760,942,895,640,019,066,378,209,
830,856,004,404,313,845,160,079,446,446,642,646,781,403,977,544,160,950,549,
089,794,214,099,810,329,845,583,303,807,847,778,090,692,419,814,581,989,915,
741,671,298,543,146,781,419,104,143,192,040,116,812,438,418,442,198,442,887,
637,261,007,053,372,460,938,731,324,006,766,718,751,846,488,810,657,187,722,
239,406,741,101,012,425,860,566,434,708,455,867,354,445,261,604,829,661,102,
539,280,400,570,011,224,593,007,933,209,090,988,553,883,842,685,423,482,186,
705,358,253,325,543,279,296,582,809,467,599,009,191,867,089,619,415,890,115,
242,383,379,696,225,182,751,300,704,141,108,151,413,285,255,027,399,940,425,
343,757,030,267,698,482,801,065,963,230,041,870,472,025,675,188,119,860,466,
828,011,456,498,417,063,413,638,561,299,069,560,504,874,239,676,449,534,501,
863,977,028,684,852,728,706,546,158,535,825,142,389,629,649,377,197,060,315,
931,417,065,241,656,001,592,811,370,511,907,557,952,401,781,770,775,992,165,
232,778,114,463,269,045,929,597,565,281,145,287,589,575,004,098,355,988,724,
678,448,578,881,288,399,018,980,261,501,586,973,267,069,982,547,687,283,064,
664,490,988,437,430,985,959,793,055,942,614,017,658,278,245,654,418,827,156,
800,666,635,465,604,046,808,370,882,012,878,525,386,288,675,346,358,127,606,
532,822,755,064,967,095,300,841,052,135,517,640,359,993,140,935,548,293,679,
560,096,080,013,974,083,872,137,648,574,272,979,659,882,063,623,578,420,981,
363,094,179,219,884,123,305,765,754,444,348,532,490,237,445,625,469,938,973,
633,038,716,141,020,514,207,040,194,922,173,551,604,171,869,008,556,983,996,
528,588,359,287,888,160,724,165,008,562,144,860,059,709,497,625,517,389,073,
546,185,349,257,536,020,341,867,869,894,276,359,030,123,140,870,121,674,347,
546,417,943,857,140,052,573,554,111,860,357,796,286,929,274,087,352,642,210,
858,630,174,102,465,363,913,072,086,659,754,185,268,932,185,611,617,600,297,
174,740,382,669,205,327,817,056,786,673,422,766,224,645,175,787,329,216,236,
705,064,001,189,676,425,237,410,099,933,249,637,882,701,988,190,380,879,193,
196,756,234,671,513,298,486,323,975,693,307,597,840,426,022,538,925,010,569,
805,662,950,294,900,718,913,611,005,530,049,421,211,613,671,468,228,087,891,
711,738,182,612,874,268,237,893,705,390,719,305,026,867,763,632,990,563,969,
391,843,339,958,595,276,083,284,120,227,414,627,202,816,106,380,205,653,494,
578,016,675,613,587,916,733,190,747,348,561,594,574,045,664,018,977,067,078,
020,754,870,493,224,442,169,211,258,411,947,689,369,029,942,053,830,073,843,
615,426,488,211,353,336,770,709,702,146,783,957,501,196,480,727,381,890,127,
844,070,154,675,818,755,953,249,094,444,944,008,430,790,365,647,164,184,194,
979,792,026,596,458,890,528,842,174,398,854,374,067,451,717,919,087,375,129,
295,497,712,978,066,834,549,738,291,977,383,784,854,406,398,165,612,052,771,
003,662,756,660,337,002,924,692,378,070,672,773,310,544,632,207,299,283,316,
867,728,668,605,565,545,883,400,796,570,594,139,753,716,549,280,359,487,377,
376,811,763,584,057,905,047,619,693,291,320,118,367,813,482,993,320,467,781,
996,203,915,642,176,267,510,350,248,575,201,272,531,117,183,460,962,682,017,
406,505,114,474,757,236,275,828,868,781,148,642,829,510,201,810,470,917,446,
656,182,167,199,200,490,593,863,578,668,305,502,024,797,603,015,890,266,097,
637,258,040,662,801,095,424,507,205,136,617,763,418,907,811,727,639,819,574,
396,220,511,843,100,940,836,482,726,872,572,604,795,266,899,054,280,008,202,
323,200,764,048,597,882,159,818,482,765,283,957,863,438,436,004,609,931,684,
563,691,517,597,581,654,431,016,828,279,481,001,711,674,054,992,325,476,332,
019,192,380,344,408,357,194,250,260,130,821,711,311,502,522,240,789,683,616,
998,925,409,694,895,609,896,123,232,893,629,314,064,100,948,963,186,281,291,
139,668,293,033,105,285,503,389,921,745,633,090,321,882,618,296,822,531,688,
079,241,202,985,370,843,829,672,466,352,127,380,964,481,134,361,282,594,608,
439,275,479,854,129,050,665,716,838,722,214,749,376,551,400,453,062,120,463,
086,320,940,960,241,024,406,039,401,166,638,722,998,041,620,471,886,618,658,
095,096,418,366,689,041,411,616,760,566,195,853,194,001,353,243,042,928,908,
742,871,817,257,593,490,092,261,272,685,871,854,707,440,469,852,041,590,620,
306,521,111,475,999,952,656,018,376,910,172,207,452,311,804,491,590,653,066,
570,974,098,083,444,187,024,057,004,971,546,828,089,939,657,148,789,351,922,
838,279,635,692,398,064,266,811,489,499,641,874,547,207,330,341,292,937,685,
232,134,001,360,577,888,710,857,721,662,945,030,764,675,453,783,327,814,283,
615,652,136,585,384,483,273,706,245,263,426,547,199,307,633,701,487,914,981,
773,540,716,221,365,481,225,320,609,015,368,599,865,005,176,751,194,669,449,
892,200,535,107,202,078,808,618,423,996,606,210,788,887,875,059,762,594,152,
878,692,612,069,417,955,040,417,388,117,700,852,038,092,006,904,650,392,185,
399,896,981,415,160,888,033,897,977,684,915,332,562,565,548,417,486,939,159,
266,462,000,872,055,572,806,115,659,196,554,175,757,854,858,212,248,764,163,
323,997,068,441,783,544,054,867,744,041,052,905,529,290,773,775,712,413,818,
723,232,489,488,605,051,589,806,028,983,879,629,316,392,023,848,192,478,772,
529,308,239,872,571,644,126,296,261,496,582,730,649,351,926,661,450,351,790,
122,395,222,287,348,271,818,849,459,497,802,409,648,710,401,326,872,086,871,
104,594,776,002,481,915,810,089,257,274,421,316,476,739,578,361,305,595,719,
119,724,117,006,893,461,280,101,033,999,607,962,480,679,684,928,227,867,865,
998,908,947,711,550,853,129,745,069,592,055,780,875,309,970,714,027,120,750,
363,454,201,365,404,055,256,390,525,869,955,181,885,607,751,823,286,046,754,
834,739,999,106,664,700,631,725,808,404,143,889,867,317,753,659,615,069,052,
756,136,834,568,454,522,454,928,585,353,697,256,957,760,672,538,131,853,202,
044,228,120,999,606,864,011,010,457,516,863,231,869,848,576,470,882,536,729,
927,196,443,212,999,855,045,164,215,120,532,296,604,139,667,210,174,338,121,
080,498,027,811,592,574,732,633,645,711,178,575,297,679,262,135,462,353,016,
055,209,437,664,192,179,575,815,927,180,809,290,117,390,820,080,698,444,483,
115,371,545,020,657,976,252,669,981,271,535,374,363,088,063,951,562,176,943,
280,053,046,794,541,453,765,210,678,734,045,520,506,376,241,489,399,885,014,
640,830,075,687,050,190,102,462,358,340,567,729,315,096,620,102,943,473,931,
474,717,544,321,287,657,364,083,043,588,077,184,068,627,491,788,792,489,623,
917,865,692,887,810,570,356,072,279,408,108,223,123,750,048,625,826,075,771,
716,661,570,428,055,245,654,407,835,252,553,087,785,590,047,527,387,305,777,
814,176,054,556,872,858,904,102,495,306,473,998,077,892,190,505,655,754,038,
729,502,197,366,858,674,352,059,417,339,434,379,762,697,481,424,835,243,417,
701,318,120,611,722,505,811,800,646,888,064,495,634,471,842,245,446,203,162,
971,145,489,228,854,596,394,209,104,528,219,053,703,329,495,328,754,921,497,
857,645,037,623,499,659,963,003,680,842,058,440,521,849,699,331,370,342,960,
406,021,008,256,569,866,517,383,094,312,453,147,895,363,131,490,664,487,584,
899,790,508,184,559,935,951,805,213,915,800,545,172,397,027,167,537,013,335,
320,470,315,192,569,503,109,542,886,261,971,007,752,169,295,608,041,195,857,
344,882,112,485,704,428,003,810,524,486,533,264,790,273,145,579,094,639,553,
974,678,880,500,372,150,696,480,591,734,288,307,730,601,436,112,419,505,312,
368,911,236,409,927,441,108,473,703,563,025,088,242,006,656,118,627,712,406,
203,112,295,404,164,521,606,133,834,569,705,319,381,418,676,582,928,543,951,
624,519,281,541,485,957,178,556,589,356,180,464,817,544,272,886,270,190,881,
732,893,457,800,673,237,894,536,543,051,569,662,643,049,369,764,002,957,193,
057,333,526,728,230,608,487,859,317,380,652,158,354,443,807,203,899,627,244,
479,467,186,069,781,471,507,736,102,841,340,921,562,016,845,277,900,694,821,
071,901,242,696,201,029,213,202,073,327,719,768,116,780,907,622,793,453,591,
217,281,730,090,962,401,100,934,545,455,475,065,911,099,109,945,305,736,945,
366,726,138,757,956,095,962,151,269,505,078,744,734,769,163,995,762,694,715,
362,646,947,139,656,755,741,040,032,335,791,768,291,069,049,937,147,583,565,
001,955,519,594,921,928,994,799,957,909,828,751,120,300,373,614,113,023,937,
760,525,474,252,523,380,584,840,635,276,600,472,809,053,929,979,577,433,823,
455,786,876,895,667,611,371,795,371,572,290,880,315,048,902,617,962,334,989,
089,590,698,150,482,050,648,434,742,934,659,994,933,149,319,198,456,237,566,
553,413,845,550,262,762,151,347,660,234,815,883,270,420,365,298,396,855,119,
891,890,406,639,811,207,441,841,750,740,620,697,131,420,920,477,908,643,408,
857,391,094,499,037,745,133,299,963,351,963,715,251,465,458,042,261,158,657,
574,646,549,211,914,608,920,745,473,344,898,891,390,661,737,953,345,320,843,
573,149,532,211,172,571,914,182,047,835,687,682,871,208,485,307,482,307,058,
719,540,140,114,644,447,237,004,244,714,649,816,452,883,086,434,570,319,666,
908,882,694,637,556,288,230,636,978,185,382,160,972,828,412,164,279,222,789,
775,508,522,670,577,333,109,575,759,167,919,094,758,690,566,083,376,818,878,
168,318,123,321,853,662,160,078,529,086,855,027,947,018,745,066,596,643,291,
955,051,620,799,782,605,160,133,245,604,007,645,062,301,851,503,933,054,790,
356,203,573,042,263,488,522,277,210,362,660,797,693,462,904,353,362,075,327,
481,958,308,837,016,355,460,781,629,708,572,056,024,796,039,598,571,950,266,
791,394,376,429,214,239,448,289,162,702,181,271,759,081,539,468,046,028,078,
648,526,151,246,841,418,258,835,630,495,488,914,912,998,002,038,486,005,688,
070,720,460,430,585,976,131,657,147,218,484,800,257,196,721,927,727,789,539,
494,321,185,024,030,630,181,599,306,886,921,840,827,320,453,384,722,506,108,
555,783,173,041,003,049,569,573,571,692,081,284,120,080,812,626,006,704,522,
444,938,214,188,523,962,418,443,653,692,538,757,667,496,175,662,910,137,050,
612,963,414,157,537,160,045,211,614,215,439,236,613,465,386,363,168,493,491,
881,546,724,872,612,145,782,109,342,126,708,602,373,066,299,665,563,381,632,
876,221,059,512,791,934,957,164,680,373,436,807,490,032,273,014,295,643,054,
424,574,287,527,120,146,122,051,058,483,485,798,409,231,587,918,521,559,766,
432,054,047,044,531,792,684,536,877,304,808,123,749,320,296,131,758,315,188,
968,093,757,267,918,085,633,419,793,079,797,041,277,736,106,726,247,670,127,
015,407,163,271,769,201,977,654,060,751,758,573,646,661,031,869,208,501,991,
392,831,617,673,440,655,171,882,608,982,557,246,852,808,174,858,612,257,390,
004,089,743,510,448,605,714,560,775,897,303,356,027,411,944,012,752,562,137,
709,683,013,912,692,563,915,830,678,548,080,532,599,555,870,957,529,945,154,
907,600,000,320,013,620,786,335,065,682,242,800,897,307,754,988,986,837,283,
395,039,803,623,803,428,306,021,491,861,601,760,949,646,756,177,307,858,720,
500,956,511,135,232,745,079,122,601,286,936,017,726,097,424,263,269,127,206,
378,614,249,354,095,189,824,939,137,098,796,329,892,315,421,013,991,596,070,
690,048,979,812,664,406,844,519,694,332,100,499,453,024,225,074,375,270,391,
966,980,580,168,159,207,645,156,476,610,345,834,532,797,172,158,562,675,009,
226,578,573,299,137,091,712,224,918,552,463,834,708,555,437,704,395,230,423,
620,217,114,232,630,919,881,578,157,349,383,967,149,222,895,406,071,406,420,
350,214,447,980,634,708,345,487,357,023,052,009,909,904,917,109,174,540,198,
782,417,276,036,879,480,297,130,400,319,327,588,048,205,483,634,485,621,609,
457,987,280,434,776,622,919,055,003,188,364,311,234,005,471,054,968,560,785,
920,065,954,632,651,309,684,368,409,052,771,119,788,912,319,367,066,594,835,
978,419,531,488,851,375,779,882,893,199,357,140,327,904,128,256,588,791,486,
344,126,044,483,294,384,417,440,796,723,217,163,507,453,041,981,909,724,609,
523,552,910,726,143,944,119,014,360,694,300,732,377,063,180,540,735,513,621,
873,651,910,911,368,054,246,682,705,863,081,125,781,609,337,002,796,210,509,
553,521,819,843,059,249,229,913,638,742,043,573,781,820,046,277,718,593,889,
621,936,511,464,411,005,337,641,563,994,569,594,037,177,967,665,345,926,686,
841,942,106,254,351,075,268,801,638,891,470,728,842,394,600,861,955,404,604,
071,419,976,273,388,807,399,677,833,220,023,306,492,310,191,553,370,589,334,
010,877,924,111,789,782,798,962,455,584,600,414,971,295,534,533,878,158,926,
832,081,952,887,539,668,666,996,110,927,334,249,545,566,398,786,892,139,368,
807,689,414,829,158,986,733,424,701,315,647,291,294,320,725,444,218,655,510,
415,906,974,263,286,972,724,673,387,548,903,101,695,543,418,917,623,764,466,
331,205,711,406,494,315,947,735,391,418,818,629,901,139,351,038,691,754,923,
623,972,422,826,639,325,564,699,370,519,291,126,286,222,131,068,097,083,111,
657,887,522,230,888,958,261,215,655,235,393,628,836,086,793,421,273,202,731,
414,273,523,309,155,388,120,500,117,416,793,510,269,951,204,361,017,798,407,
789,750,571,223,699,813,761,939,304,664,672,131,822,282,534,057,909,327,604,
006,189,488,576,505,106,135,030,615,472,441,166,126,290,830,223,242,014,640,
401,486,671,564,441,413,292,096,654,297,700,345,411,909,092,913,625,206,259,
563,097,562,822,707,995,487,727,710,633,295,626,527,105,044,840,344,064,145,
673,949,722,104,558,540,566,795,215,272,394,392,701,718,259,592,218,242,247,
667,327,776,105,353,641,804,327,424,948,953,822,405,868,987,866,564,299,706,
582,001,891,641,991,086,128,467,389,192,083,167,989,102,875,378,912,037,294,
309,758,890,105,032,739,112,149,304,617,658,261,630,147,340,263,481,967,702,
072,158,351,656,774,541,771,832,165,303,326,758,944,454,214,734,844,953,321,
479,624,543,362,072,846,178,841,170,351,518,107,216,695,481,361,207,810,506,
844,145,231,367,195,625,328,182,934,727,371,138,255,951,260,678,469,471,531,
948,668,786,080,370,996,237,752,112,836,880,185,497,308,633,113,075,345,144,
792,608,685,587,122,728,033,884,487,310,779,545,667,692,421,220,485,754,299,
054,657,869,125,328,009,598,278,857,793,297,252,340,006,491,740,688,272,084,
901,087,127,212,584,373,356,787,045,306,001,841,121,347,776,576,260,015,879,
255,488,098,714,924,670,914,613,118,001,316,379,460,063,957,820,006,274,401,
782,417,646,859,886,955,769,067,519,668,219,987,813,257,475,213,423,436,463,
033,523,994,403,076,228,935,235,893,177,534,753,136,661,039,564,880,947,221,
550,182,358,542,716,010,710,348,344,741,694,679,889,633,561,336,790,073,211,
140,955,306,576,810,868,095,601,388,267,897,487,819,312,502,923,549,949,734,
102,635,821,002,300,292,914,734,652,326,896,511,696,397,882,957,900,193,340,
654,595,122,816,723,588,441,623,106,838,749,934,557,006,122,564,554,785,408,
152,555,383,122,014,517,302,992,271,251,208,189,313,503,266,100,943,899,119,
872,010,005,804,436,083,205,964,862,274,538,366,083,263,267,386,145,494,774,
937,961,782,471,220,792,663,301,725,363,385,604,745,012,407,819,114,070,394,
377,581,726,572,893,493,901,531,678,980,180,835,854,573,471,642,869,292,085,
431,376,029,872,071,436,665,014,094,241,118,430,393,825,705,881,979,999,759,
637,126,094,700,418,360,396,439,134,086,091,745,304,515,591,134,068,839,689,
999,151,291,791,658,391,438,576,766,537,326,901,027,370,489,076,677,112,743,
991,851,269,547,285,683,219,172,792,365,328,462,081,421,992,997,903,177,565,
906,433,071,134,534,306,448,204,817,170,785,452,985,637,859,565,460,237,617,
674,483,537,700,495,916,365,927,715,144,957,704,527,571,451,446,300,263,454,
994,444,762,799,756,820,300,576,855,908,339,422,728,072,518,589,550,313,523,
877,918,731,234,948,831,822,879,495,654,904,600,017,324,880,794,692,490,585,
359,965,650,019,976,366,741,470,168,928,431,857,130,832,094,353,267,464,635,
102,198,375,340,451,416,058,466,927,572,271,397,964,068,722,805,833,225,665,
401,548,677,647,809,509,424,990,404,244,752,747,920,534,959,653,398,983,940,
234,431,988,021,303,687,124,463,597,835,383,760,808,149,835,650,237,969,157,
143,084,433,833,994,307,182,166,805,026,670,350,952,211,723,611,900,736,323,
957,002,159,675,924,541,105,785,176,777,049,955,857,732,412,666,986,660,256,
463,558,910,037,534,041,770,836,328,156,864,103,729,703,559,493,178,785,275,
701,658,625,684,186,791,523,220,429,025,932,144,766,109,470,404,715,330,797,
309,251,806,966,706,900,442,343,047,976,227,389,316,384,266,770,568,197,364,
727,072,482,594,022,197,204,599,431,930,929,897,998,095,794,096,846,920,469,
201,099,517,574,694,499,492,142,458,910,547,800,671,366,267,333,294,540,707,
147,471,947,962,043,911,180,882,678,129,870,420,220,356,238,033,229,772,725,
978,633,346,992,474,652,723,182,124,282,477,300,127,525,037,139,544,355,495,
616,390,079,443,968,292,542,808,006,349,222,652,312,666,087,689,788,074,217,
012,968,987,055,661,299,978,425,293,121,128,034,389,927,952,022,775,741,937,
288,040,471,064,775,862,119,424,992,891,730,402,905,214,666,360,735,291,807,
606,644,321,799,879,255,371,554,838,667,525,500,450,731,632,916,536,165,842,
925,312,816,102,404,274,660,629,630,048,045,735,027,880,656,923,895,937,911,
145,335,125,015,071,528,946,457,569,283,053,670,910,624,522,482,729,326,151,
198,196,430,726,891,736,137,776,976,590,163,683,894,131,496,564,032,614,139,
269,528,759,739,306,437,955,355,376,912,479,650,474,322,043,300,171,046,257,
474,733,730,605,476,564,706,143,456,511,601,630,535,350,561,359,622,951,881,
654,100,260,655,626,678,357,973,408,495,190,564,188,215,686,922,265,370,536,
705,566,265,496,953,055,537,922,122,670,466,239,047,497,218,823,058,389,549,
484,368,493,712,890,694,401,981,295,538,979,654,993,281,995,337,096,245,518,
585,598,119,012,898,603,522,386,722,449,349,702,922,956,955,799,851,337,014,
183,663,248,946,085,219,194,606,147,689,022,936,867,333,406,794,885,121,449,
589,572,478,838,295,715,852,909,503,449,608,417,015,590,355,546,023,176,589,
060,253,980,560,014,495,101,724,649,177,857,522,535,316,368,487,925,149,965,
403,751,126,600,536,783,440,095,688,579,273,695,013,516,529,238,477,046,152,
152,209,202,920,621,365,680,960,690,307,588,286,682,768,789,795,294,346,479,
416,321,763,354,467,858,228,631,072,861,525,105,430,087,889,983,552,664,830,
110,638,510,000,804,027,537,929,676,286,788,002,244,375,256,379,425,392,758,
323,091,375,595,224,466,536,701,973,793,753,036,760,807,433,286,462,614,016,
454,947,859,605,535,691,618,342,560,757,163,645,120,090,887,202,906,395,795,
993,124,550,940,526,646,803,628,143,409,012,901,461,545,564,069,819,003,087,
695,227,636,015,063,356,412,632,394,520,796,591,829,967,584,945,243,247,272,
389,260,824,553,914,062,289,098,882,622,690,916,217,295,710,049,551,855,473,
255,357,135,470,404,078,411,279,239,805,617,829,226,241,493,698,529,607,945,
629,067,212,487,008,049,154,489,112,170,171,819,431,920,373,149,853,164,598,
007,913,264,748,438,037,730,487,989,546,304,007,866,790,459,100,118,467,500,
675,900,289,835,909,186,035,148,777,419,999,730,648,241,343,643,944,845,007,
241,946,446,588,024,083,796,227,115,866,901,503,337,077,715,175,433,118,100,
909,150,215,308,320,487,639,659,300,035,190,289,635,052,667,917,577,613,568,
055,878,337,124,770,465,373,983,007,527,120,341,235,597,120,770,351,491,041,
664,926,750,502,580,241,067,406,572,533,432,473,937,825,413,060,079,506,842,
717,707,725,297,453,887,953,968,461,324,318,213,401,865,028,653,232,124,085,
080,568,448,874,682,447,956,894,679,200,168,010,924,062,553,620,103,054,026,
624,794,353,536,436,394,806,154,523,657,445,696,920,879,926,517,447,933,727,
744,639,442,852,813,002,938,881,718,334,968,181,691,979,359,416,292,854,758,
115,817,070,337,683,279,711,701,718,029,202,808,502,340,430,460,593,433,042,
784,051,552,369,046,214,216,022,266,571,459,278,092,752,217,351,082,241,278,
205,197,379,350,691,332,825,961,236,574,716,698,199,784,664,373,854,268,277,
897,142,144,396,977,383,492,592,148,317,865,485,298,274,978,554,684,529,676,
991,320,010,927,473,019,923,953,934,672,273,074,428,901,235,727,184,220,208,
647,299,751,091,612,709,064,224,797,292,962,382,073,698,807,685,480,191,967,
052,397,573,564,804,696,624,872,610,989,180,138,190,931,782,475,702,805,602,
961,072,053,916,400,924,061,708,305,468,162,067,205,972,941,762,745,955,707,
703,019,258,223,431,197,498,509,488,629,759,384,324,116,063,176,704,639,784,
388,423,840,724,621,062,668,115,603,442,441,118,779,097,322,430,614,128,272,
491,431,302,221,004,941,953,912,930,161,440,625,397,082,762,720,325,068,251,
298,783,969,050,270,086,830,391,314,185,775,065,260,717,585,085,250,128,035,
954,329,960,775,765,612,533,288,004,083,151,773,569,733,285,552,314,549,920,
880,445,283,345,192,561,715,948,069,311,397,004,080,271,039,626,760,065,525,
707,136,460,084,666,065,970,854,971,678,053,562,687,525,782,667,345,998,217,
011,609,288,303,307,947,137,545,699,005,633,057,671,241,177,756,154,642,068,
929,016,293,682,500,135,704,931,355,376,306,765,604,391,929,947,101,790,820,
038,958,839,581,282,573,623,611,968,215,533,052,231,135,474,286,229,052,136,
858,024,375,374,134,028,518,354,242,367,549,313,011,413,334,702,612,271,763,
538,481,575,841,888,203,985,798,192,547,424,726,033,695,635,478,775,222,310,
388,357,938,890,205,508,158,173,885,324,405,825,226,044,137,629,314,903,842,
095,249,782,462,760,307,139,677,791,219,983,478,756,342,420,534,116,788,756,
462,449,740,268,032,378,192,907,550,601,247,174,678,573,324,684,000,478,612,
835,497,142,998,349,046,291,550,252,013,964,814,880,721,654,232,322,223,177,
290,259,625,301,539,391,204,319,555,427,876,414,217,968,431,852,681,434,260,
427,574,843,949,274,538,860,155,143,138,547,169,760,994,893,954,267,438,207,
507,674,325,996,757,468,171,517,104,069,423,338,781,920,890,742,719,572,579,
818,449,650,401,675,684,827,548,097,645,804,250,057,083,559,718,577,899,836,
602,757,389,732,334,603,100,765,728,030,659,094,033,227,345,886,224,679,500,
453,576,567,651,353,848,221,714,583,730,631,383,485,312,026,631,190,609,066,
755,340,466,929,149,834,880,418,826,228,561,251,918,792,174,466,460,913,778,
373,499,668,811,243,751,700,630,979,246,112,184,633,058,947,298,424,672,082,
501,136,263,241,848,593,614,852,278,949,636,246,777,427,513,207,975,363,643,
855,756,292,551,269,356,070,568,833,051,284,112,425,667,887,136,857,378,639,
025,958,650,819,228,245,032,871,349,347,088,245,795,351,177,424,977,544,276,
283,819,460,218,870,896,587,817,984,964,267,900,850,091,605,913,418,556,239,
575,046,691,267,302,678,380,704,657,206,979,687,115,187,629,717,811,484,432,
205,543,903,845,063,053,080,891,340,893,104,238,132,224,089,646,890,887,898,
251,275,306,573,973,437,152,438,972,443,974,801,906,124,800,152,372,566,219,
867,122,712,528,436,710,495,182,647,778,582,922,489,319,752,093,693,049,895,
106,327,882,490,381,225,994,607,319,450,524,122,566,388,944,101,107,656,081,
950,666,142,449,753,595,491,285,770,119,588,621,722,251,366,935,354,055,993,
772,053,383,541,163,203,822,371,705,254,966,203,880,360,352,645,294,561,628,
613,753,876,986,068,498,179,178,751,325,033,194,389,858,788,721,168,384,880,
925,962,918,829,955,192,204,248,350,954,058,840,097,865,488,819,064,839,872,
315,777,589,301,939,036,321,399,115,574,715,542,783,343,102,919,884,433,771,
618,146,436,800,314,761,296,484,769,212,738,572,063,405,195,287,301,345,476,
951,959,138,755,497,454,398,380,553,381,299,272,346,474,672,205,038,868,430,
971,177,758,025,342,317,531,958,738,948,754,636,809,407,279,964,135,484,470,
713,650,347,464,590,205,559,907,433,357,347,150,347,557,375,964,857,803,228,
647,564,867,106,784,875,121,729,617,763,474,152,858,186,050,129,457,976,696,
475,461,940,435,860,351,542,490,447,003,514,328,568,125,060,469,974,363,560,
585,980,847,492,405,426,474,662,164,495,427,113,328,763,741,581,758,779,986,
539,643,482,852,716,488,605,855,065,402,694,150,928,793,475,826,928,594,956,
296,226,566,752,527,853,395,489,377,086,391,929,467,678,369,294,436,272,617,
410,083,199,055,531,836,348,430,706,610,926,510,816,518,546,720,780,831,191,
438,031,169,124,234,411,513,558,065,543,720,208,408,938,947,180,782,733,225,
323,934,714,091,307,941,921,955,109,644,692,667,732,024,233,360,164,310,090,
050,729,789,274,163,447,179,288,429,990,602,126,656,634,035,608,678,351,008,
151,105,942,149,803,137,879,927,759,268,773,182,450,272,769,586,325,210,423,
925,756,605,282,515,877,124,318,398,549,996,227,681,492,736,201,447,394,221,
360,619,696,514,279,420,587,715,950,283,026,678,339,947,703,026,790,605,152,
977,652,542,990,241,346,854,831,354,812,426,050,893,866,561,969,726,993,342,
288,197,868,521,928,641,101,678,977,958,708,381,838,559,965,706,102,725,497,
801,592,998,138,908,431,649,863,406,913,339,231,816,327,034,223,128,474,198,
877,830,887,538,064,470,077,197,541,841,766,111,379,822,053,172,029,693,634,
206,682,903,407,590,026,292,786,019,707,411,339,543,954,517,320,600,569,686,
309,493,057,378,777,897,509,679,121,358,016,863,781,568,064,633,627,322,129,
250,866,392,020,748,083,120,310,025,844,772,544,421,697,262,081,538,316,377,
226,126,957,280,466,219,889,961,651,651,604,114,467,762,144,435,102,818,969,
963,955,284,291,401,573,881,929,642,908,612,539,526,188,282,738,921,843,681,
273,380,091,254,945,616,440,985,692,322,702,433,356,147,940,165,606,389,522,
375,396,248,047,344,270,108,123,695,047,461,304,329,372,898,674,825,113,556,
550,699,839,028,324,229,374,239,272,927,855,492,415,170,515,044,545,552,515,
517,068,433,869,151,630,138,166,264,345,763,991,963,118,766,458,744,814,916,
905,582,968,279,042,075,862,184,379,511,211,681,876,689,076,283,544,401,711,
078,464,714,594,002,800,297,949,476,545,936,564,024,370,272,971,378,966,011,
335,904,080,155,070,397,085,371,171,084,068,251,746,396,436,123,424,176,534,
843,314,186,624,759,301,068,615,912,670,012,783,783,843,673,652,414,035,299,
092,722,160,472,470,306,959,219,169,450,437,359,575,778,944,816,852,156,539,
539,926,727,492,670,838,684,796,349,875,806,315,471,494,619,908,781,600,948,
203,165,968,174,013,624,148,449,337,492,855,598,318,612,435,682,216,927,996,
623,182,395,524,772,178,811,494,771,529,717,374,778,170,453,171,145,609,824,
734,163,992,467,416,529,195,425,959,171,742,325,006,478,737,365,961,233,791,
394,969,535,043,241,751,390,525,492,240,243,596,960,524,071,920,819,479,319,
412,630,575,221,006,345,657,732,584,554,915,070,433,774,895,369,091,103,927,
491,441,693,968,419,799,214,560,101,905,735,509,085,849,095,940,861,658,689,
911,903,828,946,699,046,310,973,393,161,126,861,998,275,382,460,709,502,306,
003,216,890,316,321,945,994,079,935,957,611,563,837,464,966,015,883,367,219,
337,198,199,157,036,096,108,790,578,458,076,001,171,710,737,531,134,150,494,
765,246,191,332,870,523,180,415,924,866,864,006,054,946,559,043,428,882,254,
935,046,999,807,019,891,113,847,661,719,816,261,686,437,891,597,709,052,079,
436,743,490,093,721,527,308,821,137,573,385,779,691,756,643,574,984,158,967,
164,037,386,123,426,030,737,898,092,571,366,271,936,470,415,735,988,241,728,
749,415,931,056,190,298,148,505,594,867,591,286,161,800,327,194,341,716,168,
139,545,871,235,476,507,062,049,101,963,203,932,454,484,322,209,597,002,993,
259,091,772,448,384,223,410,080,413,923,292,240,874,775,846,526,884,119,049,
421,004,707,652,523,654,195,307,035,770,640,404,845,293,529,290,830,879,197,
100,665,945,684,129,660,362,262,030,567,651,382,057,424,542,358,843,044,230,
602,747,432,389,272,320,574,934,974,052,854,662,185,390,778,498,063,376,747,
241,067,706,469,386,878,534,589,791,443,886,152,950,683,985,798,512,394,061,
474,892,424,480,832,017,132,139,803,037,882,773,753,335,232,572,188,592,985,
626,312,410,182,939,653,273,523,593,471,033,308,165,365,567,118,192,457,295,
381,549,489,093,211,700,106,044,255,239,292,054,470,778,699,391,348,391,053,
786,090,097,628,432,103,017,070,170,829,373,942,772,102,221,737,339,891,925,
146,956,617,649,949,578,812,305,956,759,255,737,875,580,298,215,599,887,451,
313,900,817,381,206,824,334,763,211,973,363,359,140,263,926,824,656,205,535,
683,224,727,012,484,851,394,134,876,671,251,412,452,340,402,457,707,616,591,
392,631,723,522,315,088,368,387,221,960,743,766,002,405,502,557,083,848,737,
047,172,154,703,708,624,248,274,050,123,368,379,694,663,580,280,607,607,000,
351,085,481,184,376,447,021,646,053,053,823,703,570,412,536,872,522,481,494,
999,054,076,013,087,718,745,030,851,990,420,884,881,095,437,624,024,701,369,
576,755,169,112,278,971,541,156,871,011,643,926,261,188,603,242,174,028,240,
544,100,315,960,970,265,773,669,112,893,363,140,152,697,576,000,141,559,872,
730,569,112,454,819,529,649,491,456,031,348,397,173,459,677,201,860,274,131,
793,045,385,146,996,998,574,036,990,455,439,433,881,912,228,513,458,227,634,
243,708,001,737,635,403,188,087,607,168,735,997,608,210,305,521,073,590,888,
490,577,026,881,125,611,024,730,558,113,742,515,841,815,051,618,902,898,419,
436,519,781,596,122,116,311,121,301,566,309,220,608,425,735,139,042,233,744,
628,571,056,453,532,632,603,611,101,612,888,614,515,417,852,500,636,196,947,
029,846,515,896,659,928,280,642,033,810,063,789,695,104,934,135,273,893,006,
689,271,648,382,466,259,797,268,492,025,847,299,565,443,788,044,869,612,856,
272,217,709,141,969,697,619,941,034,320,232,667,689,349,518,938,864,540,950,
350,088,893,953,767,027,968,252,197,675,296,696,989,506,213,466,676,992,335,
137,050,890,558,112,895,765,191,150,526,961,499,013,611,354,184,696,234,554,
344,042,869,043,471,710,510,009,250,427,927,139,547,253,475,655,519,590,712,
472,700,595,006,282,819,724,175,142,661,425,945,128,061,149,576,933,834,302,
970,385,325,288,822,478,369,172,715,960,538,346,262,205,925,547,821,124,725,
490,994,345,130,397,271,446,239,806,861,571,104,148,441,940,056,150,605,936,
488,619,941,969,354,082,498,750,286,338,247,064,982,063,738,377,854,074,956,
103,012,074,629,043,314,363,082,898,473,359,725,456,069,993,817,889,897,678,
430,769,200,190,091,455,218,324,871,972,291,089,931,850,209,963,899,554,558,
998,769,599,426,966,901,930,668,211,273,571,383,936,234,197,543,436,229,349,
906,917,642,193,736,798,526,207,790,392,172,402,121,121,351,784,435,823,608,
179,023,545,188,486,544,496,096,182,196,891,336,727,992,714,969,084,287,664,
048,695,586,421,285,058,003,082,674,640,208,843,878,319,132,003,248,769,291,
183,082,065,833,191,989,096,109,911,291,768,704,399,912,753,098,509,123,807,
495,882,794,123,018,906,735,650,186,026,709,209,453,357,727,797,349,439,213,
394,391,176,432,049,710,022,356,784,991,958,950,747,723,330,028,803,421,097,
371,853,391,136,343,863,829,108,063,462,349,218,597,494,849,633,418,767,939,
685,737,834,785,835,139,420,133,888,527,930,410,466,273,934,419,846,382,977,
821,090,878,391,120,190,952,089,419,236,654,477,617,289,938,109,815,129,544,
082,199,817,464,386,627,544,247,679,918,305,570,332,280,714,785,511,481,508,
140,863,711,396,279,042,474,910,736,957,631,173,482,152,749,413,377,457,679,
250,694,417,820,219,902,860,347,319,907,420,583,258,795,366,021,252,732,027,
000,890,771,766,210,875,524,909,830,980,057,294,897,932,291,699,209,612,398,
112,989,861,334,523,960,982,105,310,536,790,751,053,680,932,994,655,465,494,
306,674,632,227,716,078,278,396,034,362,165,027,097,327,557,487,060,658,973,
177,271,677,639,385,879,509,819,683,271,614,692,524,080,384,100,931,641,556,
862,060,703,809,475,950,670,876,828,764,602,001,164,299,284,960,958,734,675,
825,861,356,173,837,014,084,647,680,337,714,274,806,090,436,452,128,787,006,
365,880,303,877,287,904,531,967,302,694,494,494,277,461,441,946,495,292,439,
581,996,019,551,572,435,577,160,828,793,840,557,210,075,761,331,903,108,253,
095,586,916,351,471,921,482,171,654,289,769,812,293,619,367,338,251,169,552,
385,940,795,152,575,043,770,075,003,063,121,869,448,252,996,827,544,651,665,
370,017,441,367,103,625,267,208,968,635,937,409,577,140,792,618,644,519,693,
016,979,107,006,426,589,257,943,352,630,482,363,713,517,075,725,356,079,607,
888,058,238,404,106,365,788,279,697,539,475,088,803,667,862,093,028,189,393,
657,778,926,627,735,125,425,769,456,765,889,333,871,546,832,102,348,522,389,
136,203,380,936,858,804,363,626,838,703,826,975,409,755,053,915,772,756,350,
204,176,326,789,240,021,142,605,392,817,115,285,743,387,298,958,207,173,625,
648,406,396,455,917,412,364,481,348,946,458,025,642,474,200,111,104,229,606,
162,742,443,631,586,324,082,715,962,550,467,636,055,502,318,586,967,405,464,
810,422,830,102,560,038,852,833,315,847,791,273,115,218,360,556,567,781,907,
570,590,335,854,990,983,918,433,206,051,480,830,102,724,007,782,888,006,085,
106,149,664,691,622,094,731,283,276,888,071,280,364,709,934,300,392,041,738,
149,037,143,545,383,250,008,906,585,063,827,265,753,911,023,028,484,962,299,
067,118,288,358,348,984,886,758,337,241,532,098,266,722,992,952,218,217,983,
310,469,828,470,632,923,253,040,745,308,665,966,568,431,198,435,968,974,019,
853,709,889,258,322,518,043,944,744,024,272,854,486,358,349,213,397,219,746,
441,609,049,798,860,513,293,509,789,660,501,252,787,730,732,016,512,778,145,
205,798,303,744,283,018,483,989,227,222,154,434,776,040,653,155,715,169,862,
582,510,139,279,306,492,728,205,905,925,775,597,899,763,338,154,829,400,756,
351,599,951,969,219,979,030,809,933,756,006,376,863,979,661,838,162,874,763,
010,486,669,490,512,896,406,440,476,470,376,180,408,181,649,646,828,093,932,
327,991,524,998,906,236,794,462,806,081,309,236,755,501,445,336,369,536,662,
645,949,949,798,911,417,931,049,797,865,433,790,644,852,246,155,363,204,716,
470,372,076,039,799,899,332,132,858,380,838,250,533,027,275,625,608,265,796,
665,199,905,378,398,139,428,386,041,460,231,300,275,520,965,628,335,919,704,
737,141,137,794,836,093,615,632,775,776,656,493,438,667,753,329,313,732,563,
483,640,935,118,388,163,837,162,621,732,655,491,093,695,144,720,279,650,509,
459,097,045,304,835,302,200,161,940,256,192,586,485,490,780,332,128,187,006,
585,920,628,032,870,957,652,389,338,701,916,057,583,674,654,057,178,382,368,
617,853,437,899,668,626,825,466,191,570,424,245,748,456,841,337,452,363,556,
619,697,607,784,954,132,501,672,680,354,633,163,700,612,670,580,482,849,732,
502,864,336,385,320,543,218,674,650,229,344,403,821,981,242,559,595,835,663,
793,965,276,793,721,763,872,555,175,717,436,385,886,089,928,764,092,672,323,
454,635,737,028,803,933,110,485,356,682,968,353,537,218,235,762,678,063,765,
642,250,660,169,783,033,709,784,511,155,751,023,761,339,581,392,223,762,404,
929,423,291,721,812,019,929,213,591,903,619,988,731,665,634,438,551,861,754,
634,831,405,272,593,277,716,984,639,490,352,285,511,025,522,188,505,776,499,
152,604,357,561,946,071,505,322,864,062,425,129,767,988,641,985,784,687,322,
423,063,385,292,666,658,569,517,276,512,972,913,728,322,992,983,630,271,324,
964,674,991,237,707,445,972,598,795,750,048,218,371,027,945,120,096,462,646,
724,012,936,688,273,823,589,127,296,283,718,542,999,422,330,052,198,777,417,
391,848,465,085,166,568,055,535,476,653,685,812,170,089,848,737,512,363,454,
800,138,648,025,021,769,067,725,497,936,276,618,350,742,789,387,170,220,535,
366,221,257,096,196,678,104,125,151,288,845,358,729,845,232,485,835,496,150,
607,772,406,256,948,910,756,267,936,601,712,664,952,589,291,954,280,251,660,
532,887,813,449,615,536,579,448,712,853,414,789,658,969,428,908,406,866,469,
647,535,958,877,309,304,268,059,314,321,217,837,997,931,874,208,840,474,402,
555,990,802,825,241,963,565,871,716,530,272,802,734,549,566,984,398,247,502,
064,804,695,288,815,289,680,668,275,462,296,776,003,529,415,949,253,249,504,
138,640,010,570,227,091,703,096,533,620,486,682,747,331,022,570,763,974,359,
013,423,738,201,042,787,253,416,692,014,012,354,822,247,065,929,132,305,107,
686,357,577,706,390,020,130,694,616,949,080,202,878,911,235,852,998,455,926,
550,265,717,171,054,826,383,484,869,392,466,615,588,182,854,406,937,497,884,
805,814,812,885,131,547,905,331,386,639,570,667,454,067,619,976,357,691,607,
815,030,992,962,399,194,100,686,808,378,843,448,381,870,439,693,692,160,200,
366,126,667,624,104,426,089,724,129,119,405,299,743,459,758,383,176,857,568,
682,408,703,854,248,820,271,489,327,416,289,629,090,889,201,467,367,380,450,
905,850,722,730,278,279,710,587,175,740,105,199,133,193,802,382,866,968,876,
518,919,381,208,306,062,102,825,087,562,744,821,305,180,249,494,662,528,695,
498,944,401,905,774,762,846,632,250,458,343,303,247,977,365,160,173,894,252,
197,171,775,943,221,970,839,937,520,634,655,877,251,237,835,323,135,258,219,
886,617,960,243,573,305,527,908,330,037,829,782,495,851,429,172,257,116,460,
912,531,797,548,700,126,953,850,087,107,120,292,850,643,027,263,699,418,269,
563,831,101,316,564,428,778,943,763,332,889,751,386,005,280,578,037,813,202,
154,880,004,472,444,450,616,829,704,433,562,352,486,509,607,081,046,240,442,
490,930,077,915,789,994,061,149,806,143,442,479,902,694,810,057,361,856,923,
774,819,862,407,267,733,030,757,548,895,807,854,298,066,279,418,034,082,275,
146,446,111,483,019,081,229,144,869,741,840,134,481,438,468,126,311,805,071,
036,615,305,884,399,963,338,305,123,267,273,253,696,403,287,219,784,002,203,
394,361,584,403,001,326,470,060,853,920,647,791,405,859,970,424,242,606,133,
318,732,533,991,639,261,335,296,240,129,549,066,945,269,748,643,266,182,177,
148,936,889,977,265,920,033,486,731,253,765,627,473,108,534,206,506,973,550,
545,810,322,991,998,490,261,935,428,883,302,573,465,885,861,054,587,727,331,
394,661,493,866,467,051,932,992,629,740,210,964,230,910,508,928,347,661,327,
849,072,422,309,599,337,104,668,946,778,916,989,973,674,372,714,743,501,563,
853,854,419,738,660,559,401,228,551,379,677,679,141,081,716,746,431,172,186,
286,902,679,047,278,270,624,414,800,819,270,011,825,118,010,853,384,062,030,
681,589,779,867,447,101,859,795,377,321,575,504,298,221,468,260,142,477,563,
799,214,861,084,427,539,958,767,730,106,153,859,868,253,724,754,017,858,546,
008,483,686,515,342,227,521,354,698,162,692,270,239,436,805,244,051,202,074,
849,993,646,532,333,034,386,363,620,344,507,127,162,454,334,042,837,700,668,
750,596,876,073,711,678,700,078,479,911,015,546,044,777,957,321,386,600,028,
506,581,001,704,415,010,901,370,316,967,187,928,965,136,517,261,680,643,263,
661,525,899,546,404,091,657,684,416,570,500,594,864,294,707,092,729,372,233,
268,026,901,506,478,636,453,020,024,304,885,734,618,587,147,290,135,859,634,
404,043,318,547,809,333,737,275,757,443,901,813,718,186,543,642,056,993,904,
033,040,524,548,350,576,152,763,372,635,639,462,609,705,140,153,736,339,547,
943,686,634,095,737,705,296,783,740,450,484,658,087,431,285,230,574,803,347,
699,332,268,212,744,544,197,474,166,024,533,429,399,338,343,215,037,622,969,
870,102,715,494,165,294,086,651,853,115,917,014,177,020,011,504,491,634,738,
308,107,620,560,818,067,752,304,017,203,723,306,691,167,064,286,787,189,346,
773,890,614,623,721,308,166,696,763,608,257,969,156,431,735,701,219,775,130,
625,259,946,963,874,245,328,521,451,784,566,142,744,138,113,714,135,708,773,
829,357,931,751,351,230,991,729,093,828,932,828,429,104,979,748,655,177,639,
023,722,975,585,522,821,590,826,856,942,303,596,818,891,609,527,996,532,829,
138,455,676,385,819,535,341,235,479,419,264,909,584,376,856,417,462,620,002,
772,372,126,590,392,369,300,012,504,430,602,297,582,952,729,025,417,017,924,
103,569,963,663,000,661,837,255,405,276,138,325,212,742,121,528,034,294,855,
703,076,630,791,752,815,408,403,644,939,756,224,480,943,530,287,694,208,379,
371,471,574,707,340,516,635,174,336,349,296,886,004,862,598,460,479,524,128,
772,567,550,364,533,692,955,320,773,226,661,487,548,099,953,307,069,666,197,
844,351,999,875,944,759,521,092,243,189,887,797,289,966,731,099,472,110,601,
740,814,974,414,403,861,566,802,503,330,892,982,885,662,787,576,729,652,347,
810,750,042,088,578,102,175,909,348,217,570,642,144,564,657,873,589,071,108,
783,515,212,235,656,670,595,645,725,506,461,298,674,200,393,771,148,212,722,
386,240,777,231,568,779,515,771,293,250,260,237,995,631,945,605,627,925,015,
524,446,293,328,719,312,550,911,166,322,831,963,894,529,914,834,452,319,000,
098,379,795,940,718,939,126,371,631,756,353,276,230,490,678,567,741,029,090,
799,118,201,834,742,123,986,508,438,348,766,880,321,289,186,436,746,950,391,
162,489,007,712,744,548,604,728,323,835,245,537,244,251,489,777,039,856,174,
719,843,945,328,745,208,117,216,253,945,542,524,612,516,431,994,562,725,306,
609,673,662,660,022,706,528,548,308,504,357,313,683,400,095,162,524,224,656,
405,404,566,310,801,304,331,316,218,157,177,176,610,975,575,772,815,206,666,
795,910,621,585,336,358,376,424,039,061,362,221,816,306,770,373,600,179,660,
166,587,556,511,884,145,390,464,512,201,900,093,314,858,763,701,892,252,178,
030,269,462,299,258,544,715,985,913,680,682,194,796,178,178,558,739,162,014,
264,518,585,305,724,686,921,191,758,426,115,496,356,928,744,597,937,871,992,
498,169,576,584,294,567,432,522,754,818,015,054,116,037,129,370,723,686,693,
806,540,151,980,650,623,159,118,664,172,898,473,694,861,762,826,575,457,653,
898,298,290,762,698,332,732,269,715,328,190,464,132,388,784,310,451,612,899,
949,954,638,611,695,582,844,542,627,312,263,764,132,814,723,226,290,543,744,
654,057,806,656,091,555,035,224,618,563,708,205,349,015,225,245,392,428,873,
736,681,059,962,264,497,597,860,458,287,952,804,841,762,339,175,698,492,853,
063,675,625,197,994,371,444,544,790,436,166,358,105,716,668,866,649,553,038,
689,337,534,583,140,328,571,766,551,848,357,690,500,218,363,047,115,820,867,
298,375,882,564,157,962,915,421,067,264,406,021,040,537,981,176,498,215,801,
002,402,220,372,516,974,585,480,562,863,477,975,408,470,655,920,499,777,514,
936,309,982,747,268,556,452,983,083,693,500,850,574,580,162,861,627,786,733,
886,460,640,394,699,334,938,062,268,508,088,896,421,589,459,180,951,473,429,
971,306,418,835,478,939,341,875,568,105,864,855,347,416,154,327,678,023,417,
562,566,898,203,696,398,576,819,820,749,391,625,337,427,339,135,287,131,092,
281,926,585,879,696,457,740,413,048,358,825,734,671,967,699,548,062,650,295,
621,123,583,145,394,847,096,694,388,642,752,583,175,509,576,088,577,130,335,
102,341,471,850,327,458,176,128,376,467,990,861,664,102,990,750,235,655,843,
400,914,646,705,308,015,284,606,101,635,489,167,552,883,153,639,267,646,320,
085,727,493,183,203,638,706,117,525,399,651,674,700,651,620,616,909,213,631,
892,386,689,745,248,682,301,145,012,028,808,325,992,160,301,459,486,870,003,
979,558,492,639,162,628,493,969,899,420,756,261,247,560,277,264,687,399,707,
580,242,063,473,077,631,198,699,097,579,034,891,031,560,477,360,522,429,814,
306,787,174,852,908,531,703,345,378,875,104,939,149,365,374,917,603,394,812,
277,271,402,190,076,688,249,325,958,058,329,362,003,613,441,426,952,816,130,
154,686,467,073,421,897,714,397,274,424,560,721,367,127,426,613,285,962,661,
986,489,637,892,650,770,331,253,253,794,621,855,315,367,408,215,335,897,850,
206,355,054,499,949,765,782,045,672,161,856,033,693,498,264,220,190,275,205,
358,226,539,731,310,832,387,088,298,292,129,885,685,686,962,620,601,300,270,
589,405,220,545,472,557,176,044,370,272,774,527,873,998,068,791,982,757,156,
936,074,869,416,388,449,482,123,865,758,591,599,128,512,021,524,378,993,604,
738,677,993,097,631,590,369,951,035,708,929,604,203,152,020,870,118,245,755,
856,895,424,151,039,053,884,877,101,498,975,610,836,455,142,930,209,705,273,
463,747,368,187,936,078,641,173,155,221,154,618,200,370,831,668,335,786,784,
320,540,257,243,627,919,738,788,820,512,672,311,402,588,441,970,628,524,591,
225,391,666,880,224,154,163,137,771,948,585,924,551,701,123,826,522,981,221,
308,628,970,409,784,310,049,044,020,521,274,950,028,914,550,646,875,291,282,
999,121,662,269,497,928,296,032,787,096,701,241,141,641,628,480,082,038,073,
516,440,366,793,662,645,653,792,869,200,559,357,176,902,138,502,982,359,695,
154,623,414,577,088,949,578,356,619,108,804,165,985,297,733,788,101,678,186,
284,038,443,906,422,315,996,616,069,042,556,290,407,388,167,169,589,736,230,
526,354,487,628,504,180,185,333,436,621,168,118,438,694,352,396,117,523,710,
901,319,920,846,713,660,406,898,137,035,739,507,747,032,524,447,176,677,719,
228,923,056,103,001,411,850,938,036,721,859,544,165,368,488,807,928,940,972,
858,836,313,859,070,137,558,026,394,680,627,637,372,474,525,717,351,100,800,
556,030,460,774,324,910,859,727,754,573,211,412,819,601,255,930,897,672,471,
828,337,389,289,951,231,582,307,032,444,080,962,000,119,219,748,016,014,065,
943,060,587,547,105,150,687,199,688,017,726,378,133,729,255,039,926,414,774,
219,768,285,119,487,511,293,929,881,101,029,764,560,995,500,265,581,451,798,
955,026,750,822,577,342,837,885,287,946,143,468,018,693,270,002,620,249,129,
396,089,211,056,872,155,313,413,803,825,476,146,570,757,273,046,674,494,294,
387,155,156,541,950,837,996,286,551,412,648,938,321,863,612,184,156,452,774,
967,700,820,112,178,232,505,135,205,749,511,348,040,386,248,481,769,602,103,
783,665,489,583,705,139,866,243,061,357,481,401,871,175,423,218,602,651,243,
308,357,137,266,786,993,342,375,318,389,793,588,344,051,646,731,096,109,351,
013,255,817,225,546,435,569,570,022,483,878,574,786,182,539,548,965,962,452,
857,375,901,820,172,672,112,242,797,952,202,793,986,748,605,448,068,476,801,
706,698,721,480,262,932,130,114,579,579,378,645,731,411,883,582,254,087,652,
363,254,364,344,836,853,364,944,046,182,269,232,395,579,666,089,257,954,204,
833,559,371,919,423,496,078,558,049,786,049,353,872,347,568,999,045,783,107,
652,418,804,907,064,531,965,220,212,416,091,906,974,568,298,004,131,350,517,
150,167,058,603,693,039,104,245,001,699,259,337,597,138,516,136,736,870,463,
997,831,301,638,917,457,711,147,865,053,265,718,151,230,795,459,777,926,689,
986,786,285,528,680,117,352,026,030,702,273,585,811,085,936,742,232,233,229,
032,532,999,262,348,029,211,397,802,261,837,170,282,076,578,740,770,034,182,
495,521,448,638,868,634,542,230,149,145,779,609,065,026,215,330,052,596,860,
384,297,062,790,946,572,493,007,684,271,953,210,399,306,353,551,898,810,716,
493,602,537,687,566,562,227,125,772,290,762,374,503,147,019,020,350,605,095,
752,634,298,723,950,763,226,493,329,459,638,230,475,065,568,696,787,462,181,
475,420,766,353,890,050,676,982,902,327,798,955,463,879,076,477,137,103,730,
535,747,143,603,564,809,341,494,421,729,863,271,401,633,827,737,390,604,096,
952,127,641,065,980,983,176,758,766,101,058,342,266,260,224,842,926,095,785,
505,786,470,304,749,993,255,739,804,201,511,649,682,391,040,305,549,687,078,
658,947,321,961,381,721,210,492,491,744,541,024,543,355,885,466,988,635,225,
310,001,806,132,150,828,559,674,682,995,769,361,283,594,802,392,869,106,375,
022,490,545,701,287,437,462,433,924,108,495,841,634,184,674,382,150,144,914,
061,677,510,792,550,806,523,311,190,383,624,593,593,701,670,885,959,194,688,
968,352,027,357,063,897,560,771,130,703,750,911,321,154,450,078,286,035,707,
191,505,121,639,179,355,827,927,997,639,482,722,739,171,992,998,588,275,981,
327,402,699,973,286,058,584,002,288,510,097,891,534,352,871,451,011,784,195,
613,513,045,873,231,473,491,206,862,907,019,180,508,085,562,744,607,898,203,
085,374,104,512,607,873,801,904,767,237,345,671,413,023,109,849,611,492,812,
846,099,970,004,274,407,207,597,600,864,417,302,318,249,722,202,838,514,313,
265,849,557,009,269,261,143,894,895,624,157,307,942,662,066,105,028,531,962,
784,358,855,108,982,833,116,645,904,354,100,089,381,441,770,603,141,222,408,
758,390,944,420,410,703,419,879,798,582,763,520,014,293,400,845,277,161,777,
446,441,877,884,482,704,450,298,162,275,353,983,158,988,885,234,345,645,947,
247,180,965,789,012,130,777,032,294,299,469,977,241,989,289,180,206,773,007,
246,339,087,874,440,876,353,022,684,929,801,098,177,844,025,635,837,213,370,
113,705,014,368,912,507,852,628,000,666,186,137,481,809,718,098,546,701,169,
926,390,934,869,192,958,715,568,846,884,939,824,947,658,368,036,245,648,724,
947,355,687,378,905,251,962,672,816,987,976,618,033,874,140,166,207,170,805,
228,439,532,283,145,524,379,211,573,606,576,942,327,192,728,992,202,818,568,
933,785,019,408,567,639,355,959,762,563,280,868,910,563,245,670,437,671,955,
865,504,484,407,927,841,486,487,252,047,031,765,627,318,779,439,564,308,397,
643,024,235,594,111,428,840,936,874,220,124,189,055,990,066,908,931,670,656,
556,475,620,665,477,906,542,162,255,816,633,985,582,653,212,149,058,539,733,
103,105,244,736,575,239,068,451,007,515,953,608,676,732,624,104,821,419,501,
641,441,877,901,997,984,471,915,635,996,295,426,212,641,276,304,623,995,127,
690,022,082,963,062,078,957,868,213,265,690,868,129,870,113,259,961,635,431,
458,369,375,678,888,480,066,389,650,263,083,221,643,532,506,044,474,949,957,
074,430,212,932,699,162,181,204,819,681,415,298,373,999,516,378,840,243,672,
290,396,515,729,203,534,022,931,381,957,842,891,487,307,222,040,296,780,795,
474,162,979,092,934,580,579,073,409,579,365,849,001,068,691,416,634,529,089,
044,254,016,250,523,609,797,725,007,731,751,541,045,106,346,165,091,431,452,
851,373,001,501,575,803,400,381,006,932,004,955,608,276,706,017,459,513,955,
642,689,891,773,677,942,936,688,887,339,590,384,050,623,745,806,237,190,576,
385,217,983,416,065,802,264,413,774,374,751,285,069,833,987,478,606,736,642,
998,593,908,813,278,301,586,200,769,432,057,028,345,800,752,621,537,099,046,
631,778,137,305,891,787,465,037,938,945,603,751,332,031,753,221,394,710,858,
263,035,412,134,163,692,667,326,072,120,795,639,041,838,214,869,330,729,263,
899,555,857,175,138,232,278,283,650,284,101,217,924,746,556,952,011,130,644,
045,875,172,425,420,419,615,693,071,226,797,796,813,542,423,235,105,342,319,
872,770,453,889,310,007,323,656,650,205,922,142,995,830,008,135,525,082,897,
122,505,649,380,108,962,990,033,753,149,715,374,119,504,968,570,527,881,577,
621,177,729,201,309,921,057,605,187,824,907,418,215,311,970,785,975,409,220,
435,270,337,987,160,273,004,249,801,285,550,868,491,846,737,396,217,059,562,
574,062,145,828,078,974,752,524,242,089,712,597,692,730,599,991,797,450,519,
919,014,427,893,275,284,901,241,138,955,082,253,339,590,311,650,062,575,971,
353,820,888,748,453,684,782,206,000,675,663,973,380,751,924,135,379,738,674,
272,652,074,723,455,607,718,111,307,229,975,304,878,401,021,704,167,220,915,
004,653,966,185,099,930,117,372,405,268,600,282,694,108,099,317,205,382,200,
968,886,833,151,855,548,958,308,999,499,893,289,637,457,966,528,066,731,273,
726,008,115,060,408,262,589,197,441,577,005,449,284,189,207,949,164,680,386,
166,298,271,637,529,791,188,608,952,250,377,146,031,144,076,171,028,086,050,
166,633,286,423,345,773,080,445,502,174,932,629,417,361,104,868,855,056,209,
453,176,174,622,092,484,853,097,326,714,005,892,678,949,080,522,824,397,647,
539,532,290,234,582,870,349,783,937,444,415,586,910,195,087,840,176,944,263,
790,792,650,651,564,496,861,191,913,893,388,521,873,318,116,827,340,513,274,
967,615,139,251,924,041,907,410,397,514,621,203,998,511,119,632,315,313,114,
196,249,619,410,987,455,131,370,866,472,321,405,509,124,490,633,627,052,288,
726,484,463,851,455,846,384,662,067,791,481,106,757,348,015,910,699,901,920,
916,544,209,742,296,138,514,914,779,805,106,594,516,349,434,756,744,589,143,
074,054,707,748,507,510,951,059,586,338,096,199,396,020,073,243,772,737,173,
731,009,416,773,159,285,038,383,968,390,565,812,074,079,928,708,817,874,830,
324,255,421,083,807,358,178,783,861,367,867,260,550,947,522,136,202,047,775,
117,833,426,436,876,908,625,124,022,906,237,264,742,012,302,558,299,414,910,
705,335,580,949,088,965,371,153,721,929,274,103,599,088,249,567,270,848,380,
608,077,699,087,090,372,937,592,439,871,290,572,623,565,315,735,712,336,945,
196,232,075,295,630,416,130,084,212,886,868,050,121,481,860,615,349,922,035,
294,043,195,585,931,929,383,792,206,046,563,648,834,298,023,267,582,528,079,
625,137,970,471,685,852,876,693,403,762,053,321,962,026,220,169,129,681,281,
318,198,946,630,391,210,401,102,498,998,812,295,280,855,757,606,536,465,853,
073,005,284,438,055,405,516,044,337,675,376,325,253,017,299,731,824,521,839,
479,457,847,437,299,830,440,890,921,084,231,984,704,918,702,958,677,718,433,
765,087,839,450,513,877,090,923,786,708,212,610,790,295,146,817,229,824,758,
782,530,478,998,902,431,120,120,466,172,557,085,668,514,796,706,741,423,834,
230,265,920,217,127,523,255,193,141,870,264,858,832,454,758,870,252,427,372,
868,519,679,022,981,675,900,093,900,081,934,496,189,883,227,676,242,253,234,
847,423,247,992,059,237,850,175,075,252,174,624,540,169,392,096,914,453,964,
268,097,113,994,182,861,996,506,415,482,808,152,003,155,335,955,409,457,419,
594,536,289,963,362,698,941,071,018,929,237,639,381,320,223,943,528,890,669,
263,180,877,900,078,529,540,012,464,903,086,953,961,392,840,755,222,648,746,
858,834,601,894,355,013,739,561,961,900,743,035,915,127,812,745,023,461,640,
721,480,735,800,178,122,947,804,822,114,791,960,918,616,078,808,652,382,117,
459,125,830,460,203,568,837,071,210,641,649,944,304,104,631,563,688,276,004,
909,281,153,332,150,339,646,818,186,158,218,348,790,142,780,376,746,115,842,
888,282,034,414,191,534,605,673,240,840,297,925,708,831,694,037,546,951,923,
903,294,804,897,975,151,836,992,240,518,935,780,134,537,016,868,422,509,404,
614,283,548,021,863,066,112,679,326,470,096,053,574,649,319,992,077,155,921,
545,202,843,268,176,295,107,446,412,380,201,215,333,998,219,947,943,824,172,
155,692,558,050,902,327,274,389,028,861,070,468,491,056,125,610,699,086,729,
380,520,513,054,986,741,019,600,901,453,217,013,578,133,759,441,709,810,944,
994,981,922,387,042,182,396,727,867,514,630,768,650,896,931,626,235,988,563,
023,998,188,462,758,620,872,299,099,959,308,810,126,886,551,691,124,568,774,
616,633,166,332,539,689,734,942,741,104,547,128,657,648,896,413,697,475,450,
830,726,127,033,365,028,766,476,482,054,435,045,340,455,245,728,015,056,056,
943,539,584,951,059,924,880,070,982,972,900,054,436,428,617,775,406,477,531,
835,537,641,217,504,788,400,573,837,818,348,062,382,707,368,409,963,611,497,
780,723,122,107,026,863,184,494,330,279,755,009,806,503,271,570,932,890,611,
088,292,450,823,434,870,174,523,689,158,516,910,496,254,676,066,234,139,692,
920,885,425,145,962,545,701,346,654,977,235,665,200,392,533,396,631,777,189,
970,978,774,814,036,507,804,543,561,162,674,175,545,097,978,860,693,011,679,
106,291,013,914,780,823,191,564,368,666,791,647,430,530,280,571,075,259,641,
980,225,990,725,335,653,940,732,600,717,569,186,391,218,107,277,367,887,263,
019,303,515,525,884,123,414,771,551,711,953,508,639,093,527,024,626,645,557,
384,844,477,159,806,275,794,947,890,231,701,098,209,531,337,005,156,314,429,
035,153,741,069,706,935,580,287,170,038,981,635,328,087,891,381,148,225,067,
144,058,393,140,275,338,470,820,731,359,658,530,810,549,783,183,156,494,910,
642,798,598,012,083,872,160,862,568,427,464,828,372,978,092,810,806,933,975,
584,130,489,698,530,200,161,887,761,182,552,952,447,372,890,916,088,758,618,
154,740,175,898,686,923,274,415,268,845,789,710,752,479,771,076,863,917,777,
610,904,234,031,748,267,265,769,722,129,613,546,959,830,117,530,150,817,985,
887,688,783,618,554,725,451,988,023,800,361,319,693,178,258,083,176,871,593,
830,733,638,748,203,165,335,865,697,653,157,616,439,099,387,367,017,809,738,
574,545,309,587,446,005,481,930,710,108,504,846,703,187,637,416,304,211,737,
684,534,255,166,942,360,556,055,085,834,119,288,967,826,432,817,644,110,208,
090,970,759,788,546,498,672,137,705,436,695,999,786,970,399,124,782,699,328,
791,581,374,270,155,393,279,571,298,348,178,883,765,817,302,408,965,811,701,
902,645,939,708,330,314,293,229,639,760,722,885,163,565,307,862,217,875,372,
947,436,181,505,585,871,862,924,205,823,609,689,086,977,704,990,307,400,384,
711,460,970,030,030,203,067,134,637,854,479,493,135,702,434,509,310,370,875,
198,063,212,656,483,291,633,724,377,573,004,787,919,708,681,007,599,925,813,
508,064,957,146,099,334,171,835,954,545,991,177,994,844,006,796,984,945,496,
500,878,846,349,109,768,821,294,939,609,493,333,062,983,608,461,016,051,455,
204,236,348,987,542,013,295,901,451,023,470,610,268,057,568,417,252,861,216,
604,259,373,847,589,256,880,890,981,417,257,597,779,248,931,539,106,688,695,
600,930,900,160,691,565,573,056,396,278,904,851,945,700,505,039,464,336,275,
128,789,093,797,616,382,027,849,800,822,527,073,320,359,390,477,244,854,572,
819,235,330,964,318,613,204,163,164,164,502,241,481,662,869,326,323,295,042,
846,327,678,723,837,530,131,141,281,164,774,697,659,762,391,243,580,397,986,
542,669,223,603,332,393,610,235,625,652,014,548,663,275,708,113,330,998,334,
973,671,032,499,912,822,815,192,341,318,427,314,978,028,224,948,830,928,680,
464,634,596,686,681,208,178,157,567,030,698,158,907,448,844,916,070,438,731,
434,785,992,299,103,292,693,695,651,394,117,010,385,596,471,261,002,561,163,
854,370,900,171,135,850,235,369,043,153,511,800,112,980,997,513,952,109,026,
912,735,467,255,792,269,906,464,966,799,937,279,507,583,087,858,119,480,077,
305,441,479,418,701,459,423,726,041,315,669,807,028,875,415,385,985,543,935,
379,462,230,742,597,892,629,665,643,538,783,846,837,790,414,764,776,586,924,
452,701,317,488,211,191,583,611,352,167,920,840,241,679,231,246,199,678,551,
639,810,154,129,329,772,392,124,278,489,725,552,214,157,012,462,793,385,508,
189,754,323,042,187,490,213,565,597,475,217,789,140,358,395,612,193,746,324,
020,850,009,540,268,307,308,887,163,700,237,466,563,079,539,578,970,344,287,
295,617,961,990,320,435,913,493,060,261,628,190,899,310,880,510,319,224,402,
082,747,514,139,652,435,358,975,923,363,505,364,953,427,476,027,934,336,862,
552,944,592,321,887,147,694,997,982,442,497,516,700,515,134,252,713,158,395,
805,514,768,777,398,095,098,726,655,367,304,161,544,993,969,700,435,256,696,
209,457,183,244,852,614,943,124,960,643,871,756,882,617,142,772,871,994,149,
015,327,938,974,186,396,858,667,564,697,682,146,399,866,533,774,373,994,976,
204,811,730,289,355,744,164,216,447,452,977,529,947,312,519,666,111,559,976,
071,637,819,395,950,223,233,170,788,534,971,294,710,672,506,796,321,777,709,
511,156,369,845,997,096,160,984,603,606,936,820,414,244,562,406,683,246,413,
516,279,221,407,991,481,219,149,250,686,668,119,552,081,379,378,621,240,227,
109,249,985,936,809,695,716,142,944,898,712,407,104,781,298,376,275,252,081,
812,688,442,929,852,109,340,771,696,338,951,941,358,192,595,614,175,990,197,
168,115,685,906,135,925,198,105,160,687,541,715,613,945,609,802,398,512,095,
125,552,593,278,077,044,989,559,109,100,563,655,964,374,453,216,386,308,430,
113,301,965,273,868,807,536,194,345,809,484,346,182,861,743,877,730,468,890,
910,440,009,188,752,017,410,212,207,740,920,080,105,280,681,240,793,480,208,
286,237,572,690,111,476,805,370,336,846,755,903,221,440,722,392,900,003,716,
866,739,483,368,401,790,907,460,932,969,284,360,262,941,088,950,925,481,283,
695,566,081,613,700,078,168,822,945,712,087,026,710,087,756,741,563,904,345,
007,570,137,495,899,878,959,416,765,151,162,481,520,505,219,992,096,315,002,
809,718,995,520,149,915,930,119,468,969,073,556,241,596,994,625,565,960,309,
047,931,925,956,611,944,927,922,483,505,014,000,284,399,215,607,684,108,309,
459,870,911,600,320,185,977,012,153,646,582,273,333,231,984,495,397,288,787,
469,371,109,330,894,471,425,864,917,878,196,789,477,539,044,086,852,108,749,
191,892,273,287,067,397,980,351,827,602,796,151,041,351,820,966,100,489,054,
176,070,176,049,063,288,576,394,847,946,901,089,775,102,069,866,610,416,949,
972,182,414,895,524,346,275,921,835,412,557,449,242,991,403,937,507,917,819,
354,919,066,935,723,331,802,562,153,966,365,488,176,306,003,183,814,373,604,
512,848,966,306,182,384,690,660,727,179,122,808,053,030,393,677,576,112,191,
845,082,264,529,256,350,626,580,951,991,499,733,780,189,703,554,259,388,839,
574,942,363,485,265,348,865,368,627,497,684,888,480,570,259,455,456,337,892,
709,850,785,887,665,301,508,414,844,999,876,505,904,044,595,349,869,153,764,
776,631,970,578,889,472,077,239,125,793,512,452,611,502,822,716,590,663,697,
838,758,389,540,932,557,844,640,588,519,839,166,560,062,008,355,891,125,635,
182,873,827,735,467,681,331,239,089,174,938,728,959,654,911,289,169,747,749,
481,046,312,200,002,949,981,038,328,181,825,679,676,253,996,909,122,013,882,
101,891,841,232,092,286,598,557,448,429,653,077,069,483,205,781,857,044,574,
916,188,897,752,435,280,268,813,652,279,828,227,021,160,232,201,545,399,219,
825,221,203,350,122,691,039,189,922,129,581,982,709,555,688,961,157,637,844,
648,493,279,788,595,226,248,359,729,306,670,823,425,224,538,440,497,139,103,
005,240,428,364,555,380,234,424,090,832,577,308,094,815,519,809,411,583,345,
405,883,586,793,028,840,411,627,269,866,609,225,221,413,904,948,491,949,138,
503,356,505,089,966,258,268,344,905,169,802,159,557,743,703,672,992,905,643,
485,268,337,922,672,741,302,490,429,266,266,638,854,371,125,587,747,945,292,
137,429,528,371,169,771,888,872,295,781,927,197,125,187,512,464,111,042,947,
465,248,153,653,280,607,654,948,256,949,209,573,993,125,822,717,914,172,991,
742,609,161,858,510,162,346,600,290,364,211,789,869,940,608,623,513,931,253,
849,455,869,577,403,500,156,513,149,373,000,076,487,073,842,704,428,464,364,
547,180,229,472,096,433,964,409,803,568,987,243,154,865,245,949,380,261,891,
025,726,041,367,420,555,442,795,097,166,298,979,737,615,879,295,301,659,535,
023,703,084,780,864,608,358,003,869,172,170,712,587,339,758,994,019,391,369,
747,780,388,717,137,489,609,628,538,471,979,890,522,781,667,209,471,109,967,
183,952,560,036,741,886,171,485,948,837,901,034,095,644,125,132,642,698,585,
055,859,921,078,502,085,777,414,373,083,614,491,989,049,057,589,518,215,081,
760,493,663,800,366,434,950,781,884,292,626,210,399,126,005,104,802,495,611,
542,632,856,902,396,843,357,513,423,245,605,367,782,257,110,111,262,674,125,
940,091,096,773,895,509,060,018,760,345,222,457,644,093,888,535,369,960,079,
209,632,202,522,292,598,931,197,931,792,581,830,034,247,571,937,540,814,680,
395,306,281,132,995,656,392,478,189,201,995,377,697,109,181,238,682,060,759,
680,162,052,555,927,420,059,315,847,307,818,842,990,040,948,824,631,691,060,
370,180,304,625,993,074,100,948,581,159,320,109,981,344,675,180,027,297,455,
873,102,054,571,300,322,969,133,520,915,427,379,609,857,335,858,390,493,282,
656,448,433,986,683,119,505,339,514,102,113,791,867,585,597,222,288,213,441,
145,400,787,816,896,991,478,670,690,190,333,202,651,348,348,109,816,804,495,
656,337,168,081,214,864,898,789,579,300,246,488,467,161,219,381,575,668,087,
585,905,286,014,088,224,641,014,934,411,268,388,957,297,061,161,279,133,902,
377,908,243,278,298,206,506,682,033,704,181,702,383,770,678,378,852,470,634,
643,228,666,386,833,174,425,036,568,418,097,701,656,277,025,846,162,242,891,
466,143,044,433,919,888,270,418,020,161,852,645,753,219,054,438,902,700,864,
025,069,416,885,953,696,225,447,542,399,267,073,364,975,571,703,751,058,639,
466,145,551,435,655,330,774,343,263,793,389,542,274,281,433,411,490,104,320,
691,490,286,096,299,739,985,374,849,715,372,097,488,041,327,278,519,794,991,
402,917,131,807,881,070,164,247,779,859,663,314,787,427,642,659,921,802,004,
909,426,588,208,590,759,151,651,209,025,995,690,005,385,186,446,091,864,256,
840,870,976,055,005,676,670,218,659,978,623,788,284,050,553,884,568,572,783,
067,291,196,844,963,693,480,553,591,410,631,854,788,862,979,377,716,207,679,
834,759,312,881,675,138,648,318,682,820,635,006,728,095,332,098,506,246,519,
673,808,134,180,018,725,622,125,395,497,624,184,060,466,546,063,099,492,394,
876,506,689,625,850,003,053,536,829,397,407,799,176,536,463,189,766,806,251,
225,757,083,685,824,293,167,950,095,567,525,632,544,999,242,213,925,892,319,
712,197,725,866,625,215,325,139,587,434,370,657,730,517,160,235,824,591,228,
452,875,368,689,226,754,157,849,523,809,747,678,753,475,222,734,384,553,657,
536,075,809,026,100,969,539,901,257,615,094,132,707,132,471,878,083,962,122,
182,764,170,835,015,141,934,574,086,212,183,646,250,842,592,718,403,122,971,
418,074,755,488,012,371,108,538,572,700,217,000,075,174,035,303,232,304,412,
261,785,547,226,034,866,221,639,348,339,526,657,698,228,490,329,141,837,084,
503,857,461,009,881,166,582,793,867,604,253,667,551,497,136,551,207,103,817,
494,072,487,964,273,543,535,418,957,005,826,183,774,684,168,839,267,045,330,
519,999,078,255,265,896,571,907,789,024,802,375,456,244,015,527,429,261,409,
233,628,093,927,934,854,236,043,101,404,010,495,587,267,372,221,126,890,624,
073,038,458,417,062,919,015,611,196,528,871,548,434,781,909,228,122,304,645,
772,128,465,628,129,920,257,841,077,290,128,553,243,733,730,128,988,889,387,
460,553,082,580,380,546,346,927,038,292,110,315,844,253,460,583,363,305,940,
972,059,201,877,651,442,864,745,390,936,652,759,364,203,917,729,377,293,156,
028,896,742,951,730,530,569,213,455,700,990,893,439,620,180,778,769,246,430,
757,917,885,499,927,711,562,132,908,479,655,869,764,347,604,227,177,509,520,
831,901,150,929,043,407,486,701,699,235,083,532,693,932,200,972,441,080,811,
422,585,678,871,216,746,704,333,773,268,044,960,172,707,267,334,271,855,713,
408,957,157,840,375,979,342,596,083,276,155,581,771,919,949,582,233,227,475,
231,783,452,415,091,179,347,876,057,989,014,425,720,613,546,237,884,782,371,
397,516,424,798,983,460,428,103,309,824,357,072,624,967,640,048,454,742,902,
244,989,556,752,445,405,567,789,557,625,336,584,917,222,892,666,417,141,528,
694,983,795,124,121,882,036,547,015,719,429,538,926,036,502,401,785,480,803,
471,757,950,574,219,061,697,819,037,737,153,545,404,306,127,687,183,172,291,
151,064,134,362,100,510,462,882,572,391,378,312,231,548,143,186,834,406,298,
606,602,897,995,680,681,823,190,546,783,932,616,330,858,785,438,246,228,515,
442,411,897,971,916,762,883,567,254,061,981,505,119,585,916,739,172,196,143,
863,283,887,558,745,161,122,657,997,363,620,241,079,524,479,222,478,963,869,
154,010,461,399,347,571,896,967,830,995,041,658,757,987,252,341,470,676,508,
685,466,756,959,403,287,374,699,292,679,962,998,715,313,216,394,260,252,763,
306,759,500,361,740,335,227,920,740,403,374,284,231,649,091,424,649,721,894,
159,034,137,654,282,742,752,139,925,124,352,799,108,094,121,151,397,885,178,
957,911,250,622,033,906,753,738,107,907,660,594,123,966,098,837,865,588,850,
658,246,747,950,126,513,724,075,678,844,918,315,669,196,292,617,247,350,826,
774,870,906,878,234,870,747,256,945,903,693,026,773,717,397,722,030,630,328,
041,388,045,154,319,508,391,454,498,214,328,539,667,898,574,484,871,088,545,
093,693,426,667,729,733,711,744,845,082,260,838,337,457,744,644,591,216,358,
323,721,507,335,652,016,196,631,853,440,713,938,581,882,271,429,552,404,411,
970,653,288,356,459,757,502,821,977,883,154,518,688,289,192,969,337,760,136,
327,086,561,159,534,270,878,348,554,104,971,693,610,209,400,908,366,294,126,
476,585,971,109,799,396,086,280,348,008,029,789,554,157,414,720,554,930,957,
189,296,323,341,694,458,587,447,638,376,216,660,630,776,528,807,780,038,279,
094,344,992,472,763,713,510,569,908,896,542,945,446,206,292,686,967,942,580,
404,476,795,161,829,859,764,199,337,126,572,691,637,301,745,241,563,495,455,
687,561,215,432,210,854,493,826,255,442,918,208,098,923,331,443,902,055,105,
792,820,160,462,700,445,555,301,822,474,773,401,743,094,810,141,836,751,800,
305,142,756,198,339,375,790,228,880,758,853,693,441,008,883,010,241,953,280,
932,778,008,929,956,792,426,413,426,895,221,508,071,414,442,163,344,906,361,
040,654,187,160,402,468,197,689,836,004,611,146,866,085,303,283,178,634,865,
830,566,503,647,430,601,255,994,670,078,433,028,394,724,490,857,000,361,058,
202,579,660,724,570,785,996,818,350,681,910,814,945,880,645,494,311,459,558,
304,099,451,421,522,834,783,649,252,397,358,959,896,801,468,844,932,248,388,
043,950,955,988,677,301,328,827,682,613,902,166,569,888,372,526,567,157,850,
364,008,444,480,453,883,606,777,009,920,087,487,019,621,967,688,237,562,575,
185,907,124,055,711,823,718,099,064,690,978,344,189,144,946,483,944,588,257,
451,091,002,280,154,311,650,208,163,339,591,905,286,924,864,803,809,464,864,
907,423,249,414,186,448,288,048,559,986,024,995,974,761,317,426,551,721,092,
379,773,629,124,065,656,431,961,016,932,867,077,916,177,062,103,453,170,361,
809,516,802,756,209,266,786,137,957,160,130,807,426,768,065,531,733,343,117,
878,301,468,179,769,011,464,676,722,433,660,588,123,100,664,700,127,948,574,
906,558,174,466,287,667,427,579,433,088,862,629,157,814,654,154,137,322,472,
795,362,060,958,012,609,321,440,694,317,263,508,683,674,846,694,419,336,448,
059,611,486,865,007,147,473,846,683,940,719,592,942,178,050,360,873,407,308,
735,937,782,574,430,009,534,201,313,675,403,919,528,882,219,195,207,648,215,
948,152,149,591,730,338,023,255,915,733,789,599,157,171,340,083,585,582,334,
280,178,333,441,791,592,477,746,663,342,738,952,379,417,407,318,783,069,321,
195,539,376,419,406,477,103,615,858,740,795,570,702,845,008,252,213,862,022,
964,341,551,138,129,662,632,154,726,642,481,908,895,413,379,757,484,719,209,
930,715,663,716,162,087,484,586,997,836,948,100,655,651,174,933,545,053,382,
455,392,263,601,705,182,807,276,972,551,015,808,714,531,454,078,914,676,948,
522,754,395,838,373,223,648,707,270,208,629,931,474,377,291,508,004,148,040,
913,198,853,519,056,960,776,364,071,156,442,245,739,027,770,240,184,530,454,
935,037,259,341,148,608,947,919,365,488,832,575,334,293,297,303,378,787,439,
838,943,339,374,078,710,296,399,559,011,199,685,788,511,721,751,020,848,071,
625,842,651,908,036,016,211,267,725,387,801,731,596,441,686,241,084,475,306,
220,589,580,436,631,458,396,265,710,749,997,519,632,071,423,324,287,498,168,
206,584,208,556,638,349,831,953,476,619,116,037,643,607,904,998,935,137,978,
966,713,485,696,691,712,186,580,150,024,072,793,983,761,527,216,220,683,719,
624,639,764,984,213,674,216,365,302,429,582,741,743,963,714,967,961,956,952,
600,172,268,228,564,940,788,797,629,103,776,221,258,961,864,410,979,436,993,
262,904,545,643,549,367,978,131,494,502,584,367,508,648,056,898,061,232,055,
418,693,010,944,788,008,976,864,180,282,636,884,890,627,118,080,966,317,278,
026,605,148,764,619,116,738,519,400,942,905,559,259,261,565,940,973,837,946,
692,325,140,082,709,913,994,121,728,373,522,231,448,255,991,897,535,440,828,
185,252,143,535,572,176,413,967,465,623,789,099,440,664,316,312,199,264,777,
800,308,526,400,972,579,019,306,142,920,566,539,357,599,531,562,230,619,422,
746,301,390,094,836,519,750,596,893,407,988,355,637,063,317,579,266,899,419,
006,796,128,477,726,501,250,026,629,047,391,765,629,060,653,948,364,879,149,
644,727,893,482,087,198,224,375,813,426,577,153,217,463,081,079,992,916,055,
807,730,912,067,125,122,571,480,983,992,007,357,469,785,473,495,154,425,880,
731,279,899,693,945,437,586,759,325,259,575,455,729,685,650,362,708,429,841,
901,503,346,019,244,705,870,747,947,672,640,973,715,733,783,665,249,579,006,
514,924,016,535,629,999,318,365,642,859,495,932,361,590,552,649,461,243,565,
770,101,381,377,930,850,654,019,479,106,872,111,337,670,038,256,955,844,957,
136,694,204,310,571,085,100,572,630,574,653,952,680,685,188,462,316,238,000,
975,467,895,287,021,020,600,630,518,342,662,399,586,655,428,716,657,415,751,
953,718,010,067,893,131,958,835,542,007,300,568,288,804,318,209,165,304,096,
496,231,277,560,273,925,486,314,427,554,956,345,622,167,162,479,575,297,372,
039,052,600,170,059,554,265,683,368,985,838,984,226,194,162,277,368,607,708,
405,150,206,661,517,045,504,935,963,369,258,213,615,533,762,745,517,948,953,
212,713,777,503,244,560,259,391,696,605,720,963,992,521,228,592,702,878,120,
267,799,894,483,174,564,200,089,077,489,542,470,710,047,012,623,280,178,997,
622,168,011,629,331,597,523,914,982,742,020,320,913,184,077,412,275,502,285,
672,152,809,019,818,001,354,279,387,370,099,360,028,284,860,689,936,387,993,
903,103,440,499,229,903,210,846,760,252,525,360,322,708,805,058,053,130,971,
205,386,296,302,252,559,934,860,886,782,068,715,892,047,269,774,160,296,014,
102,089,367,035,196,909,010,234,506,497,249,139,614,478,742,163,477,198,365,
374,788,201,798,911,903,577,315,302,078,800,616,855,554,659,069,934,975,116,
913,824,472,896,457,143,829,864,403,078,085,363,489,682,145,500,311,970,877,
518,197,501,933,708,112,315,399,547,965,749,324,232,761,915,446,316,227,156,
472,217,385,460,344,179,416,250,499,708,823,263,077,161,704,984,410,498,720,
874,573,016,026,869,489,425,374,185,865,122,969,238,179,618,033,634,579,429,
185,665,154,827,233,465,682,377,663,405,179,242,120,889,039,341,559,403,723,
737,583,079,459,552,639,212,563,916,301,941,237,693,860,710,597,892,876,188,
721,796,754,387,620,862,076,680,310,266,217,984,658,591,602,270,299,204,057,
586,451,344,551,541,303,951,848,932,942,890,025,064,641,257,385,671,763,353,
358,952,106,606,396,076,451,095,136,123,712,687,507,002,074,190,687,349,654,
162,604,061,407,387,558,692,895,591,452,375,068,326,477,803,768,800,938,612,
505,205,364,316,549,673,856,329,317,399,714,937,929,252,162,236,990,671,504,
646,176,248,419,387,649,789,159,171,537,553,796,985,414,538,894,770,086,582,
633,198,076,830,604,292,407,978,083,859,429,588,017,374,979,771,866,830,746,
092,232,927,177,631,932,735,911,054,031,204,331,102,937,788,344,283,055,086,
654,050,367,035,121,743,839,018,559,930,317,319,746,644,536,849,128,272,153,
207,883,241,234,524,059,306,091,534,628,508,537,679,189,740,804,828,462,354,
652,912,335,784,619,312,197,580,172,069,639,272,579,859,326,740,076,467,063,
727,054,606,874,337,208,896,504,564,672,789,312,998,995,873,974,279,096,462,
300,625,236,368,706,549,016,257,468,374,697,523,961,646,898,947,862,333,366,
031,616,802,258,959,278,526,215,554,223,290,659,503,962,447,514,514,468,483,
591,664,699,184,705,516,337,518,080,971,053,947,504,680,259,973,120,591,513,
851,581,234,510,638,346,757,271,953,563,091,331,383,229,754,224,869,862,441,
097,276,119,105,906,339,157,692,936,891,165,354,873,165,088,039,250,097,367,
086,143,211,581,247,778,173,159,509,777,236,096,113,973,331,660,886,946,194,
560,094,880,270,056,630,594,464,901,391,049,539,286,410,352,138,813,286,601,
816,947,359,098,506,971,972,154,148,289,668,666,736,662,012,935,541,343,245,
846,328,860,498,975,126,710,412,021,286,269,534,890,752,938,409,188,284,257,
660,311,498,355,703,748,432,114,728,437,636,633,668,578,926,592,060,150,010,
364,634,301,721,640,318,352,538,665,314,587,528,433,347,792,326,002,072,012,
792,170,832,159,017,329,385,556,209,803,795,737,016,048,118,975,416,971,075,
492,193,060,675,671,277,351,217,117,294,702,747,993,461,474,753,231,235,055,
343,631,282,340,256,994,380,536,299,551,242,620,386,979,510,504,567,072,036,
044,956,077,100,416,657,438,299,086,661,550,838,264,361,379,056,282,511,724,
262,065,366,315,155,836,941,014,922,241,060,020,083,516,948,382,887,707,696,
320,332,992,642,945,380,031,597,128,033,254,898,538,632,475,440,511,845,752,
260,335,778,718,962,549,560,074,051,033,445,519,203,394,923,652,133,583,940,
048,118,078,808,328,433,727,364,089,142,120,630,374,355,852,682,816,828,610,
474,440,657,846,810,140,121,086,074,168,726,779,153,423,185,505,152,668,845,
538,029,261,714,667,130,599,185,049,062,899,361,619,330,020,067,068,421,994,
719,638,162,149,588,569,400,263,775,605,892,741,723,725,975,083,542,808,498,
485,901,327,575,862,132,614,649,074,245,298,375,015,113,371,060,409,824,522,
807,328,403,096,092,666,266,832,282,805,416,157,084,885,437,921,719,822,128,
555,361,247,395,422,256,003,759,041,313,127,245,167,655,807,322,984,156,976,
095,084,961,074,372,476,646,627,858,551,529,409,537,282,676,886,887,870,481,
516,624,158,950,766,350,959,124,502,668,699,229,263,586,091,534,242,839,598,
843,466,597,576,817,208,710,502,133,969,243,076,997,858,634,868,192,808,930,
231,036,842,496,588,447,079,417,182,624,028,428,070,784,028,513,159,778,110,
054,432,623,605,001,288,284,871,076,722,030,672,102,762,518,618,445,814,668,
829,591,747,952,461,754,574,381,957,841,670,628,574,731,559,150,673,196,121,
084,162,989,466,270,371,848,591,134,077,083,032,546,648,285,546,090,911,400,
021,837,684,198,351,396,803,644,917,328,973,376,578,116,683,500,690,498,025,
559,515,998,801,792,965,064,705,940,106,310,364,122,060,525,187,108,177,136,
073,964,003,187,815,048,116,736,726,907,870,652,700,307,936,310,603,833,071,
797,866,033,459,017,219,376,344,911,953,730,045,959,835,142,964,269,719,954,
664,754,634,245,633,537,546,061,435,921,167,792,283,131,096,829,090,035,224,
811,863,704,427,000,126,928,870,175,543,278,986,607,853,538,764,013,256,860,
680,506,363,683,322,051,316,241,157,863,095,989,637,438,299,808,940,318,001,
847,610,944,234,705,564,481,845,266,423,859,703,968,805,098,562,849,495,770,
775,844,800,870,974,734,477,733,545,036,187,482,847,449,170,335,572,194,694,
633,599,366,478,559,975,356,436,024,414,957,369,485,714,323,632,519,379,522,
589,257,585,475,462,562,022,406,789,711,117,540,580,911,218,583,587,511,784,
252,770,896,081,604,717,417,104,771,946,075,673,141,595,894,184,794,559,274,
171,802,370,859,887,791,497,040,630,935,098,181,804,500,635,996,075,423,926,
829,325,120,663,311,697,188,159,797,233,323,386,779,439,507,118,066,291,520,
047,980,668,560,978,157,511,583,660,652,289,478,273,662,726,709,539,751,822,
532,302,882,762,585,059,139,112,884,879,147,829,444,857,383,448,820,726,633,
660,220,790,480,097,957,832,114,088,041,612,567,761,347,212,638,460,990,371,
969,368,123,129,507,450,838,183,938,035,618,076,230,443,741,139,311,299,765,
493,221,688,008,858,267,947,874,460,009,265,160,277,354,293,410,582,292,010,
965,816,619,481,324,412,928,667,023,772,128,816,971,204,772,152,286,468,547,
385,088,284,933,862,406,654,625,590,373,758,969,721,076,171,326,318,465,577,
847,593,381,246,456,546,591,142,199,083,038,154,004,348,084,462,366,439,628,
181,658,156,811,178,374,139,992,008,301,870,784,570,529,187,017,552,434,858,
932,264,426,191,740,746,668,796,420,368,424,121,054,285,830,194,264,170,809,
553,846,917,375,559,693,188,249,152,659,795,854,188,631,610,448,531,543,651,
277,079,607,969,662,785,901,548,578,648,916,134,558,409,707,041,610,871,566,
381,840,805,759,710,409,662,214,292,246,195,073,752,880,282,819,054,854,788,
597,036,056,724,126,157,194,601,323,414,518,829,625,503,310,490,428,082,787,
493,529,938,192,258,965,649,191,419,160,880,428,660,669,078,980,948,236,002,
267,532,552,762,724,604,595,074,912,037,535,559,700,023,836,855,595,775,887,
478,984,226,771,512,563,042,417,169,923,631,270,794,259,204,725,730,988,338,
974,938,973,809,941,938,833,770,781,156,561,099,158,977,154,607,900,822,809,
485,074,081,521,248,030,144,062,684,937,050,325,833,264,074,129,695,017,812,
770,497,208,868,173,634,521,674,984,667,076,212,101,493,208,735,006,368,343,
805,159,485,468,606,712,563,365,947,040,510,775,938,814,677,427,540,397,602,
639,667,578,105,891,409,735,213,860,317,862,047,927,742,401,974,237,973,111,
841,452,393,684,828,863,706,353,619,522,663,305,941,902,178,352,655,140,757,
171,256,031,646,248,682,654,671,795,175,512,835,512,218,883,307,618,303,633,
047,217,267,730,317,335,852,683,798,282,400,259,296,804,270,678,782,439,953,
257,778,982,532,213,131,448,490,029,959,209,332,638,669,039,923,827,553,535,
698,833,810,633,810,257,761,584,289,091,735,536,896,745,775,011,403,888,387,
380,120,582,741,623,050,513,109,930,316,568,368,502,396,398,001,982,520,112,
693,978,254,497,736,799,084,784,950,657,509,564,215,632,142,932,980,759,738,
469,468,329,495,257,789,058,217,746,534,703,325,990,058,842,201,951,983,010,
281,201,453,090,746,048,443,076,524,740,961,117,813,830,182,512,520,815,516,
556,702,218,176,713,431,070,194,781,157,303,604,671,431,075,433,295,221,966,
088,130,990,444,983,986,196,073,199,404,145,349,838,487,795,276,537,547,363,
920,328,322,657,343,842,117,048,952,896,168,472,890,085,143,149,539,109,162,
750,076,717,159,800,086,695,429,344,599,908,081,520,294,357,081,456,022,129,
285,976,258,700,028,659,286,429,446,927,739,764,370,590,103,827,765,074,077,
316,371,702,105,649,618,985,301,750,424,854,109,462,369,972,808,760,321,854,
766,322,041,113,002,583,178,369,759,233,188,776,897,290,936,535,969,312,982,
343,035,561,178,570,451,544,619,585,649,456,879,870,218,676,857,808,241,074,
802,268,924,823,672,828,844,682,826,053,843,941,870,208,962,520,272,279,716,
152,854,946,627,296,685,255,776,423,690,150,657,730,454,750,944,931,995,965,
179,017,722,378,549,274,962,415,295,565,818,516,225,394,139,205,825,348,856,
175,783,219,505,660,389,337,870,983,400,789,250,747,121,782,170,885,204,889,
753,593,986,506,324,712,677,880,992,378,786,330,704,821,356,272,769,693,274,
246,903,475,421,625,725,781,045,408,777,754,634,774,263,605,305,753,081,151,
596,462,444,105,959,985,739,448,722,758,343,344,616,188,947,646,437,769,969,
244,779,951,842,990,326,569,332,804,041,009,049,677,543,114,366,390,439,596,
179,901,881,538,917,426,853,923,035,004,221,828,861,121,002,246,796,595,763,
165,659,639,657,205,910,737,498,595,614,357,295,929,377,695,006,498,964,649,
588,368,976,641,596,580,743,504,659,567,109,942,625,931,778,335,937,031,861,
454,126,791,588,955,279,423,526,569,547,761,519,166,571,380,938,212,696,818,
489,546,241,874,503,221,826,619,196,096,470,560,891,236,991,874,387,746,087,
294,798,972,854,222,454,972,252,943,184,439,196,220,381,526,558,207,257,443,
230,712,734,160,002,388,745,067,736,209,707,944,497,758,504,464,765,555,825,
450,503,721,027,745,573,789,245,471,913,412,460,107,174,000,895,669,709,840,
194,554,875,670,010,337,876,719,431,140,138,234,928,978,346,280,106,643,314,
420,931,141,323,872,092,881,916,496,368,496,769,907,053,892,287,437,191,154,
209,146,289,354,814,671,467,197,633,646,634,617,624,107,541,888,191,935,406,
446,745,225,269,197,894,896,208,800,912,483,143,650,442,649,291,058,007,670,
097,440,271,427,462,701,624,515,889,724,040,031,305,170,079,246,755,935,307,
187,550,588,983,180,658,509,906,106,986,193,512,636,668,370,080,546,018,727,
248,272,732,486,714,337,387,090,257,120,706,095,611,045,339,124,012,532,651,
120,812,247,428,093,629,394,349,534,120,829,020,505,071,959,216,401,476,369,
074,491,661,683,814,846,305,403,621,587,969,861,007,684,403,653,384,583,407,
612,056,929,887,257,400,385,795,675,321,693,549,624,693,936,367,280,996,481,
576,896,115,313,943,488,388,551,853,581,887,882,248,529,418,772,476,132,701,
510,093,149,319,948,532,411,120,909,364,441,553,680,570,398,497,034,641,676,
170,212,493,079,227,506,216,987,287,833,195,864,393,506,207,999,525,749,698,
695,865,030,231,524,088,652,291,135,359,658,064,582,467,025,655,406,115,764,
068,544,516,024,509,330,016,061,968,686,234,311,865,659,240,743,399,694,311,
320,853,273,527,823,015,507,859,518,129,180,088,539,376,216,926,103,123,113,
642,994,269,353,303,145,195,020,216,596,949,129,064,879,469,509,401,547,514,
755,520,539,265,395,090,121,274,990,843,836,492,158,427,728,852,374,984,042,
494,322,459,526,093,214,819,530,488,592,593,548,407,225,830,455,377,197,827,
395,258,124,767,604,842,307,485,406,544,889,842,186,715,928,484,390,325,348,
970,974,463,011,961,770,821,139,701,074,716,453,731,759,623,471,584,004,535,
209,604,173,178,294,980,326,813,181,539,128,226,067,474,473,945,134,525,867,
142,714,936,185,239,394,951,179,322,901,731,455,548,360,225,298,857,380,497,
002,345,033,723,521,447,713,746,414,379,014,426,246,097,368,052,282,405,701,
656,956,309,743,420,495,836,051,556,327,442,434,816,956,980,542,621,964,734,
041,171,810,412,521,562,021,424,794,980,777,578,571,735,558,012,464,006,127,
674,450,972,255,884,934,831,300,525,103,389,646,620,771,932,081,788,128,936,
285,703,033,757,789,095,569,781,784,142,517,158,881,956,104,603,547,537,963,
851,961,505,021,089,630,020,423,410,093,051,210,246,167,196,041,328,769,306,
149,196,281,827,030,172,968,126,530,587,751,178,829,180,837,275,662,407,363,
689,947,673,323,201,678,700,987,263,536,327,399,288,981,001,316,556,474,286,
309,814,790,947,409,082,192,966,232,540,405,615,326,370,585,785,453,420,367,
483,231,209,036,097,267,583,526,736,669,130,447,767,128,612,065,204,420,012,
710,214,449,260,386,281,541,530,536,072,653,569,694,119,379,194,320,767,903,
391,608,016,205,023,108,991,501,046,393,950,157,421,880,782,342,418,372,940,
413,852,609,182,183,619,000,655,912,070,713,213,592,374,175,253,714,897,150,
129,529,700,468,946,449,981,141,806,141,338,420,493,980,219,108,034,702,501,
681,546,681,703,465,179,488,328,013,986,229,371,992,533,713,545,798,364,708,
538,270,582,174,780,580,018,557,740,514,604,260,930,511,677,344,358,343,178,
727,063,524,507,551,421,482,745,523,616,390,335,140,701,503,762,246,029,619,
207,518,430,328,665,256,518,181,977,215,605,502,671,273,030,385,559,021,044,
240,520,030,882,396,602,806,994,077,444,714,803,632,846,088,861,887,571,048,
142,914,810,597,059,885,058,305,642,099,964,705,369,860,621,786,530,370,161,
989,380,352,393,030,606,612,942,912,742,004,296,642,507,230,959,949,303,748,
628,180,425,110,605,707,000,998,893,873,230,707,912,498,231,397,223,840,471,
403,713,916,316,022,963,565,214,579,789,578,240,118,293,226,586,540,752,712,
569,320,639,569,486,439,025,116,877,589,449,032,959,206,321,147,382,154,541,
309,077,590,489,484,907,535,255,884,750,295,330,395,565,141,668,916,023,765,
350,966,199,051,988,410,247,878,332,995,396,250,497,681,546,825,943,891,886,
510,008,620,498,780,406,400,684,254,252,905,495,377,656,992,591,840,923,502,
154,430,117,851,711,346,215,680,508,168,618,106,534,436,715,620,192,524,062,
534,096,501,974,718,532,539,802,342,118,872,434,850,001,196,406,970,427,248,
713,717,030,820,554,427,045,408,498,413,819,018,663,454,747,628,020,618,079,
599,766,493,909,287,511,015,551,976,721,840,061,122,895,092,661,471,390,469,
341,333,980,727,161,429,173,522,469,830,236,422,721,836,764,821,145,533,107,
739,038,592,125,721,144,792,921,082,200,455,111,845,861,800,931,921,719,071,
031,601,662,413,799,185,943,214,765,001,984,162,493,588,971,859,236,070,639,
045,476,183,363,879,857,965,775,519,451,442,031,507,255,759,607,521,036,289,
054,103,951,321,273,490,007,654,856,206,407,702,114,373,841,379,449,822,696,
292,634,198,331,661,809,986,266,383,391,672,964,983,218,419,319,186,791,751,
897,219,896,473,381,037,393,710,811,973,801,987,008,756,261,525,942,480,064,
288,306,510,363,790,755,268,248,209,595,248,336,564,984,545,589,378,745,600,
953,397,120,064,790,967,244,065,769,210,193,156,713,896,098,514,540,610,606,
752,796,990,003,404,750,481,566,008,655,293,201,239,667,712,249,403,152,505,
694,040,959,664,769,521,371,732,058,402,288,290,126,612,034,073,427,052,781,
190,214,543,097,647,874,549,299,455,845,090,586,228,811,884,043,857,449,641,
137,873,320,083,112,924,250,556,049,178,476,234,733,518,316,522,589,577,170,
523,837,295,064,297,156,671,097,680,330,341,455,767,209,889,789,713,000,825,
228,672,744,008,323,668,667,434,629,084,176,662,160,650,860,502,218,982,184,
322,053,441,627,455,150,418,453,398,069,044,017,562,851,594,949,560,611,679,
617,235,829,107,814,119,151,115,681,038,533,950,488,427,804,213,992,060,792,
706,185,889,335,273,266,568,942,099,109,551,261,819,099,919,604,880,238,675,
211,007,354,921,189,518,441,321,352,126,387,272,293,433,802,739,327,757,173,
683,599,048,255,498,946,306,316,982,024,370,835,158,483,865,758,746,288,998,
867,743,644,107,139,443,282,270,027,352,960,241,353,531,556,503,326,213,388,
960,653,424,716,605,013,917,884,271,388,937,237,518,916,422,252,987,169,771,
516,096,936,360,866,346,745,919,581,049,704,108,248,848,491,118,011,735,156,
853,342,842,818,818,386,866,286,310,109,221,155,379,147,655,766,615,365,197,
540,992,912,466,423,890,794,470,754,527,244,938,314,709,939,003,122,952,972,
241,130,014,133,504,185,871,464,979,988,912,689,712,529,499,706,466,870,035,
067,805,340,912,020,016,352,349,224,784,220,164,100,767,036,125,716,000,183,
770,172,385,606,017,848,055,726,373,020,269,889,219,268,254,171,830,474,721,
089,790,425,700,637,212,111,599,478,580,967,567,620,711,341,454,472,839,622,
279,043,985,222,049,669,494,026,788,078,644,548,662,897,732,658,782,735,856,
609,323,090,703,882,526,794,985,278,355,765,463,259,891,717,519,958,320,684,
522,424,862,536,912,262,651,909,185,725,522,385,460,082,382,068,916,610,985,
399,238,298,664,008,545,059,587,008,164,401,446,142,926,484,562,000,006,062,
115,555,061,680,039,780,283,486,072,403,027,781,563,229,964,244,608,325,541,
166,352,256,729,894,205,499,435,268,815,020,954,377,497,766,815,142,342,972,
481,501,610,807,210,348,057,723,778,148,125,931,956,686,699,725,479,660,314,
697,164,625,655,425,245,510,408,135,325,630,223,458,234,672,034,911,361,291,
077,675,813,341,354,905,283,615,757,380,480,695,019,746,344,778,752,208,304,
152,355,392,711,894,928,423,244,024,171,784,306,418,276,895,764,475,524,185,
460,543,694,135,351,243,766,986,422,959,258,470,314,788,941,973,810,737,770,
262,313,093,987,715,398,652,314,649,157,106,743,881,441,043,925,727,608,506,
750,294,397,243,491,013,374,009,144,931,482,221,847,928,085,633,213,815,665,
114,779,193,186,511,053,010,794,600,832,979,302,172,422,938,589,066,647,540,
647,301,554,804,398,409,783,849,613,269,640,467,552,643,030,399,986,260,286,
631,585,408,714,942,253,882,856,093,915,652,463,836,034,196,398,031,019,832,
606,722,479,286,943,344,316,600,961,146,762,139,405,583,010,658,575,272,651,
672,830,784,090,876,447,367,229,223,416,621,133,781,222,923,786,014,258,713,
256,767,137,460,589,004,176,665,223,907,648,046,020,786,509,866,559,990,108,
466,491,204,935,427,049,342,021,742,963,223,713,013,353,573,001,792,762,878,
314,622,389,437,978,676,952,159,899,391,647,636,518,556,742,271,630,137,764,
397,199,246,542,832,956,372,499,157,963,718,110,545,000,671,773,866,250,917,
685,701,418,859,880,102,288,501,920,846,454,987,435,603,294,701,182,660,048,
489,415,771,364,050,293,263,723,837,045,282,715,676,254,775,768,746,910,358,
179,135,655,104,528,566,751,953,421,183,408,158,298,045,386,096,429,702,551,
836,281,414,664,140,594,529,004,185,394,921,221,898,282,946,037,025,702,565,
423,840,306,096,697,614,801,680,708,978,299,219,717,667,708,743,685,944,690,
040,002,398,050,757,824,319,889,424,164,271,644,420,611,674,072,155,970,738,
704,743,498,454,850,884,270,702,381,606,004,154,901,983,047,557,172,527,040,
591,608,756,908,569,615,296,817,892,075,881,639,501,936,601,344,490,798,265,
657,639,081,783,521,667,729,868,151,877,081,478,912,441,477,083,653,947,937,
724,475,791,991,540,670,271,293,099,674,281,430,748,870,560,770,938,929,230,
031,061,706,351,559,930,764,945,341,371,694,828,534,502,708,555,384,797,476,
959,846,164,961,090,974,092,104,649,672,935,353,378,820,892,690,749,852,789,
925,497,580,170,100,181,213,745,297,648,426,878,997,609,964,981,557,373,931,
457,808,351,956,009,072,367,573,523,618,727,148,578,331,382,704,591,969,084,
236,227,667,315,419,693,381,747,803,497,259,008,648,585,507,457,470,046,354,
993,915,341,025,528,287,459,303,793,152,581,604,808,388,939,953,165,107,725,
244,690,229,029,684,325,848,388,552,041,708,459,341,569,488,158,803,859,969,
961,823,844,601,579,927,953,870,698,904,169,863,325,769,096,527,520,307,142,
188,104,738,120,322,903,054,432,290,446,222,441,567,160,917,891,163,552,121,
217,123,096,582,388,036,559,101,799,783,313,831,303,846,621,542,592,265,321,
376,604,695,440,521,181,863,703,001,048,011,936,261,742,758,365,406,569,539,
986,526,953,496,736,659,912,349,307,620,352,592,657,856,812,807,680,460,358,
911,362,837,735,151,222,428,806,876,587,146,683,559,715,078,545,525,847,486,
957,790,727,659,019,341,865,716,954,012,372,833,828,545,353,564,116,442,141,
216,888,867,392,597,767,383,360,161,008,906,419,573,141,024,749,158,584,354,
951,973,127,555,949,951,158,683,374,716,041,668,284,903,906,277,990,233,257,
519,499,270,324,003,293,263,257,606,196,876,362,482,996,166,375,934,742,095,
769,860,984,808,838,265,074,040,877,864,203,442,657,987,872,040,039,927,853,
316,447,702,194,126,869,300,089,917,771,872,043,323,651,838,607,037,036,815,
248,838,027,401,881,047,856,026,800,863,375,022,327,452,107,164,064,111,635,
019,023,117,751,271,147,256,435,462,582,282,798,702,493,156,956,734,558,218,
618,649,152,405,334,626,204,084,892,167,423,519,854,456,726,852,978,891,162,
953,837,724,989,869,853,976,288,263,663,669,735,094,014,006,078,325,699,894,
574,026,139,969,514,151,973,652,836,050,120,604,331,040,447,169,831,633,437,
138,212,119,604,604,800,572,435,718,109,398,805,604,926,247,277,638,589,586,
639,586,975,421,007,678,102,605,248,516,836,859,876,172,607,483,755,996,111,
501,447,724,401,592,564,409,645,611,655,097,725,620,674,265,330,471,806,646,
960,516,140,365,208,253,187,019,482,909,621,603,011,934,612,161,713,382,261,
230,123,403,533,784,032,394,726,242,991,847,542,794,827,528,002,972,387,937,
405,701,289,625,217,128,398,626,482,457,391,180,210,993,424,245,059,940,224,
456,289,885,668,846,490,847,567,917,214,343,240,559,766,002,444,516,861,818,
561,622,938,615,208,316,583,433,888,486,884,885,515,135,416,252,170,104,561,
797,584,078,120,471,717,503,618,941,302,167,314,586,984,259,734,496,518,741,
863,829,729,934,854,865,978,162,132,008,456,880,252,963,887,617,095,381,623,
047,908,202,741,808,895,654,360,196,581,712,738,339,312,706,563,050,919,748,
916,209,279,464,598,640,651,311,078,209,809,813,103,158,709,117,241,278,424,
752,464,033,038,767,831,149,583,292,294,635,172,792,086,822,006,082,703,248,
974,418,878,484,315,117,071,685,307,791,021,492,817,551,116,331,442,674,020,
075,777,488,906,472,533,887,440,655,762,198,220,725,035,247,623,670,454,662,
541,668,692,356,492,914,214,952,512,286,574,605,100,121,661,803,634,632,188,
236,202,936,119,422,132,342,907,182,121,629,376,131,016,593,071,624,639,237,
893,109,117,793,641,536,033,502,570,752,750,247,347,367,863,186,836,562,649,
401,879,817,120,287,739,377,805,451,217,822,033,149,821,647,525,773,649,610,
825,685,397,365,266,286,553,854,503,203,628,203,909,577,840,614,315,749,664,
474,819,730,874,586,056,251,864,641,279,266,337,424,475,587,289,609,801,855,
559,590,226,657,288,017,685,608,050,723,066,290,688,640,743,147,377,356,116,
079,092,618,891,191,309,739,489,652,245,555,469,234,280,810,996,411,941,899,
782,239,458,178,410,078,950,765,093,627,208,402,363,789,868,967,393,945,127,
565,275,019,534,944,676,805,294,491,090,037,014,828,142,833,553,647,408,947,
545,392,584,198,474,842,488,451,048,011,276,945,214,189,202,170,436,014,146,
629,319,188,236,435,559,215,349,949,920,653,358,999,611,565,102,040,204,062,
859,739,092,056,815,388,948,070,172,015,906,927,574,894,142,931,007,295,943,
994,559,590,007,240,676,239,323,416,458,301,973,038,586,575,322,788,219,943,
517,498,860,861,186,434,547,642,121,331,437,526,996,037,341,044,673,898,213,
750,601,859,327,388,324,677,689,676,600,667,093,334,778,682,059,494,547,235,
319,910,058,160,207,234,589,427,526,166,925,146,754,241,646,872,148,918,782,
270,547,142,079,753,849,932,079,861,915,549,227,477,223,445,666,864,018,808,
711,071,706,296,312,745,954,890,371,698,521,656,631,640,552,205,965,752,438,
190,080,003,535,354,591,842,197,625,371,755,531,079,810,815,480,261,297,030,
003,327,448,202,390,804,176,323,033,971,206,114,091,756,403,286,013,026,202,
974,892,548,604,914,404,273,271,709,057,134,178,536,780,854,378,203,750,236,
696,883,731,071,969,846,376,632,173,019,697,842,583,438,109,550,193,163,960,
689,507,496,185,696,433,245,633,272,866,469,480,052,415,122,990,940,609,384,
049,494,688,733,571,671,880,569,317,383,310,641,333,846,236,969,874,725,243,
777,898,755,460,663,329,607,717,078,623,417,972,836,024,746,656,296,687,979,
283,852,326,907,394,200,198,290,986,727,091,756,666,059,956,455,209,803,959,
360,533,000,656,489,493,267,245,951,241,166,078,060,856,395,362,729,366,025,
657,833,745,631,162,508,798,778,415,525,215,784,690,678,012,494,698,023,959,
489,591,947,423,449,659,268,958,784,993,734,157,057,437,683,024,701,281,775,
373,960,434,589,286,551,968,023,144,345,208,342,214,867,913,442,265,330,081,
932,114,176,628,643,042,376,687,660,543,250,122,560,996,004,468,714,052,387,
040,058,669,440,505,275,926,358,543,997,129,966,701,749,875,745,291,858,210,
285,894,153,040,113,458,418,302,742,485,610,733,250,917,765,494,758,103,915,
500,932,987,921,427,714,275,458,194,469,538,185,316,111,442,653,385,506,972,
891,563,007,241,570,448,513,278,242,173,980,211,214,217,788,653,246,379,033,
868,286,043,672,334,131,020,525,620,223,827,951,472,642,300,293,072,013,584,
654,890,293,630,285,531,710,702,159,394,959,122,990,290,580,368,621,243,280,
895,668,357,617,324,490,450,981,284,229,070,748,760,130,247,980,558,037,423,
215,013,843,392,358,680,484,236,977,887,401,392,948,200,367,732,734,217,620,
961,283,509,690,794,014,035,638,830,422,656,824,926,879,444,588,026,572,825,
930,937,783,372,171,427,629,556,438,465,768,916,238,031,435,199,215,362,708,
065,102,647,310,825,005,056,011,635,370,921,385,134,567,379,897,883,533,668,
230,646,592,983,884,432,308,856,380,706,951,958,250,703,742,042,418,242,005,
333,843,177,740,232,745,189,800,815,099,970,399,792,781,434,297,946,027,728,
950,610,581,251,275,339,741,707,034,152,263,828,990,556,680,151,306,576,943,
971,816,524,672,049,932,188,762,467,201,001,724,507,318,586,930,409,304,915,
970,331,931,449,391,740,076,146,913,662,950,616,977,350,413,614,839,224,065,
333,031,824,967,856,369,354,470,923,309,799,879,766,201,448,151,640,616,326,
081,894,490,605,820,806,743,046,616,894,382,151,022,504,993,792,600,302,881,
445,288,504,166,345,879,136,374,426,780,904,410,298,464,259,441,200,677,792,
168,677,806,789,923,640,763,687,131,195,518,681,661,183,910,592,418,691,554,
999,531,545,250,503,008,658,606,468,416,066,017,856,715,704,236,611,754,173,
673,336,422,901,749,890,360,691,121,741,935,131,600,704,644,041,184,761,343,
344,076,459,232,905,241,482,167,791,334,735,270,931,561,435,327,807,852,004,
003,887,349,519,321,253,514,866,266,260,908,876,135,013,364,722,151,349,899,
924,093,768,166,808,411,353,353,886,170,810,848,355,333,292,577,903,954,876,
566,734,973,392,697,519,519,616,926,251,724,282,635,185,613,936,729,329,639,
986,897,820,083,879,978,484,659,025,595,106,384,761,774,951,064,307,332,923,
338,520,050,583,267,333,312,417,861,292,665,647,959,190,896,634,284,841,222,
919,335,282,722,167,974,612,208,994,059,729,689,088,008,784,309,168,853,745,
756,101,813,756,491,291,958,184,759,963,668,631,138,474,266,939,911,920,843,
258,893,073,086,968,274,708,307,751,333,678,131,810,913,286,573,369,757,216,
225,044,439,650,161,805,137,846,062,214,518,707,147,393,630,108,093,228,304,
699,828,921,827,506,379,996,728,748,843,705,865,755,870,478,181,193,846,336,
706,691,878,910,015,662,719,819,371,313,214,173,189,385,162,678,339,675,207,
492,163,372,527,583,250,501,784,310,476,766,305,518,406,392,114,569,352,383,
703,301,675,588,157,000,364,279,337,588,948,114,320,431,030,193,426,703,488,
377,705,574,070,151,629,835,718,760,327,545,311,884,185,377,796,828,489,443,
199,988,095,725,331,180,157,872,770,669,592,860,875,042,534,872,078,116,776,
855,776,886,076,159,061,420,540,961,668,021,124,062,398,675,670,575,101,415,
195,473,758,090,642,560,870,626,313,484,880,301,366,640,341,371,200,867,959,
372,397,806,572,462,692,130,517,119,717,390,964,818,799,318,044,418,420,928,
948,651,335,574,060,512,949,428,722,026,997,692,137,716,036,060,803,152,900,
612,981,396,778,592,960,679,772,031,418,994,132,992,931,121,343,725,845,587,
479,578,074,389,275,490,482,640,234,827,326,440,549,033,564,561,060,444,071,
986,020,010,606,777,004,857,524,163,411,489,911,049,081,466,131,980,809,572,
757,276,934,454,591,870,490,218,897,753,230,739,059,498,482,503,829,846,571,
441,022,468,213,427,015,827,983,415,315,539,677,748,501,942,818,430,505,091,
694,506,655,558,171,822,528,540,329,891,765,625,960,711,667,910,459,767,407,
622,044,512,510,343,500,553,393,009,523,449,630,349,490,044,122,099,947,336,
583,927,691,746,103,410,350,526,578,295,877,591,356,301,367,328,322,591,507,
848,217,293,510,021,439,729,516,872,910,881,889,600,714,199,816,043,503,367,
684,602,286,836,287,562,012,362,167,282,202,454,351,214,026,738,965,103,738,
255,546,696,178,658,472,431,070,082,896,151,842,479,169,216,443,302,451,391,
096,689,247,946,027,788,801,921,548,478,719,423,677,530,158,675,917,304,963,
088,740,064,114,454,553,524,675,651,581,578,615,855,633,951,463,103,829,535,
976,319,356,427,211,325,585,828,921,495,155,106,233,027,610,429,847,423,020,
416,082,475,134,932,262,972,710,636,606,966,050,005,150,837,930,483,650,485,
578,055,047,112,526,091,624,808,492,868,383,297,034,808,292,353,910,111,279,
130,563,169,640,422,077,558,963,050,928,262,911,416,983,637,040,081,870,269,
206,643,911,469,950,576,477,365,319,536,494,922,125,482,202,874,608,342,466,
415,863,571,632,253,067,901,377,076,967,697,470,773,956,032,001,843,270,181,
570,273,122,505,405,391,822,646,407,399,544,865,790,583,826,888,020,785,723,
532,634,354,866,514,639,428,273,771,901,048,129,435,858,354,168,382,364,836,
995,924,672,308,812,463,589,585,087,187,017,770,955,124,684,588,781,964,619,
555,184,787,100,077,417,101,926,833,198,411,959,885,480,161,680,507,967,624,
192,596,920,062,804,639,154,216,537,135,103,737,811,788,816,850,116,992,474,
448,174,704,027,021,550,283,185,026,333,876,888,210,780,857,647,959,785,717,
243,509,088,091,415,832,624,675,150,995,019,833,715,392,611,895,400,806,801,
688,718,601,434,468,805,608,930,236,569,235,918,790,778,166,792,191,792,463,
886,491,958,593,046,113,872,140,145,645,341,681,227,531,549,570,388,339,694,
461,821,885,715,911,529,353,968,902,928,082,915,555,497,251,341,275,099,917,
606,736,603,016,754,712,113,479,395,300,789,398,143,348,655,030,788,488,017,
621,960,873,351,670,032,571,125,282,359,371,170,971,464,382,169,405,575,395,
949,580,977,446,452,843,268,949,868,003,676,016,754,396,052,556,602,646,874,
157,969,601,032,386,935,391,407,644,188,539,144,373,483,308,250,770,381,306,
682,325,663,767,672,788,032,518,964,172,399,783,653,789,671,038,645,756,208,
235,049,201,986,644,836,215,372,799,109,200,091,435,389,635,929,934,011,673,
454,387,225,003,586,953,525,285,445,564,425,623,023,645,960,839,930,514,320,
023,017,635,310,485,438,447,682,426,619,159,121,669,864,023,499,701,348,554,
300,496,726,459,749,035,189,210,931,353,350,085,442,599,759,229,990,451,325,
323,186,802,604,136,595,401,414,541,439,196,657,392,574,301,903,571,145,428,
195,237,436,026,184,103,619,299,496,736,992,107,839,427,229,742,076,776,306,
898,997,726,388,119,301,934,164,454,332,651,541,535,321,626,796,681,153,580,
326,426,258,596,682,995,819,918,995,080,411,877,949,399,764,282,573,904,406,
007,894,494,309,500,555,028,804,872,015,143,365,469,432,844,538,314,296,898,
780,626,352,727,575,790,142,807,876,270,035,726,745,878,521,006,882,599,841,
910,244,545,213,088,248,658,443,812,160,330,476,584,072,254,051,481,872,502,
111,353,769,329,657,811,865,738,579,182,290,763,862,910,617,937,257,040,021,
672,828,788,068,471,441,393,134,335,305,968,725,040,471,184,890,852,908,578,
962,973,336,500,527,849,164,611,913,756,328,243,225,453,502,732,674,306,071,
367,247,064,500,780,163,887,593,555,023,258,799,808,181,201,591,586,108,197,
980,414,518,615,225,383,599,195,204,085,711,086,098,144,624,733,550,814,560,
397,824,860,058,698,047,376,606,432,615,418,917,571,799,960,597,405,895,473,
324,638,381,647,691,658,045,437,342,765,440,495,609,291,519,104,498,414,103,
553,850,940,363,745,727,570,515,395,025,856,527,217,936,557,158,582,603,322,
830,393,055,017,617,422,984,811,882,563,635,972,731,611,734,671,850,186,379,
740,987,931,027,240,254,904,236,861,405,975,702,700,317,539,394,871,010,935,
309,275,141,266,275,525,483,692,413,090,462,539,767,735,274,380,563,839,348,
148,281,336,607,021,589,045,848,216,397,428,627,367,716,800,071,708,154,016,
175,879,451,317,913,485,214,874,332,961,974,729,269,428,371,736,312,105,249,
186,393,197,927,641,475,690,744,634,096,790,441,781,335,647,873,783,556,136,
850,166,369,626,163,160,842,118,342,571,927,303,355,535,557,086,544,487,004,
198,607,039,790,148,637,667,969,112,154,207,741,881,031,432,091,560,993,730,
383,072,943,181,093,145,625,707,372,419,444,674,052,599,785,216,120,233,357,
231,392,134,875,743,328,520,351,055,744,891,990,835,995,718,004,230,679,340,
441,650,206,798,624,204,446,260,432,927,845,527,246,121,176,560,250,105,416,
518,383,626,480,320,354,986,269,995,967,787,485,219,048,427,294,950,469,289,
429,288,128,914,125,445,406,223,740,433,624,443,558,615,961,004,932,668,705,
519,479,934,692,289,201,092,572,451,369,232,212,953,062,531,973,985,201,055,
765,375,676,953,256,475,342,813,649,973,003,119,345,719,386,751,616,065,712,
544,421,338,865,578,598,688,895,061,900,543,574,671,350,998,507,224,306,201,
957,972,715,370,354,266,698,868,193,940,218,901,478,045,349,245,660,552,976,
746,504,585,722,775,881,649,772,243,620,486,762,060,901,786,040,461,870,505,
223,951,068,159,677,390,761,413,889,200,260,849,929,899,554,051,357,124,689,
952,957,054,684,103,347,436,415,218,742,989,789,653,580,737,705,090,247,533,
923,701,121,863,592,016,244,682,211,032,845,009,862,754,090,456,659,316,219,
082,299,085,594,259,153,449,389,039,598,929,852,366,150,285,611,082,963,444,
445,354,377,726,806,177,826,751,581,466,370,888,359,755,216,427,093,466,068,
225,876,182,878,759,345,312,492,512,424,838,952,431,685,807,277,437,631,043,
447,579,995,505,051,395,597,091,857,740,559,674,150,151,220,432,853,186,607,
351,654,842,273,148,200,638,477,692,362,384,264,910,300,379,955,414,071,631,
156,332,942,027,342,688,798,436,248,153,998,598,609,607,816,471,314,425,321,
243,786,773,217,118,859,300,153,453,385,595,212,473,205,135,456,197,872,013,
813,574,068,120,018,150,435,404,906,235,277,069,158,959,352,031,805,486,577,
142,558,743,350,975,003,472,720,931,598,425,138,752,942,790,522,324,879,410,
478,478,133,823,174,411,308,331,166,546,490,553,834,440,445,303,915,029,936,
950,556,720,414,110,882,020,334,169,758,631,745,642,829,284,420,711,951,809,
529,944,295,939,995,836,932,800,924,692,508,250,782,859,127,574,719,340,620,
234,895,735,713,491,249,635,237,207,096,825,984,968,610,438,893,868,553,199,
735,637,501,986,136,612,626,411,981,137,732,931,804,137,076,222,590,097,539,
910,251,596,094,468,572,099,501,661,453,991,324,792,363,472,008,130,971,441,
273,025,360,403,524,114,430,120,039,270,436,805,678,612,017,806,331,311,773,
503,015,300,968,412,906,531,692,848,429,316,132,245,742,018,188,245,679,933,
491,418,647,871,036,419,887,380,708,677,448,335,791,679,814,926,759,882,744,
232,103,416,541,095,557,248,291,834,640,535,670,405,272,231,074,697,222,608,
163,771,845,650,610,679,218,883,770,690,096,086,299,776,269,420,565,846,662,
846,153,148,113,700,836,713,517,914,880,041,175,396,399,838,039,191,481,492,
906,796,660,555,806,173,364,805,831,314,094,326,660,489,713,072,062,714,523,
871,411,142,423,681,844,818,802,472,613,271,726,215,391,537,265,234,369,961,
723,301,154,650,700,964,188,571,944,028,515,461,748,006,402,244,297,824,813,
254,168,763,604,302,088,311,507,571,894,394,929,729,512,865,697,714,946,800,
819,794,813,434,811,945,969,433,740,644,632,740,326,943,317,103,805,528,583,
259,692,211,098,817,754,763,146,858,764,264,419,877,905,716,195,253,117,990,
602,399,002,200,081,649,909,536,674,256,429,625,829,433,332,930,634,986,643,
439,465,471,270,729,213,797,328,669,913,712,327,043,588,363,450,565,075,201,
129,619,428,386,048,936,848,465,256,975,338,959,877,609,240,673,787,155,326,
176,092,145,437,815,269,415,632,173,671,852,532,781,531,041,923,039,987,272,
169,850,972,290,949,754,765,130,745,701,667,636,712,936,709,966,555,191,859,
988,930,317,293,310,301,452,068,145,061,798,525,034,377,975,500,552,501,544,
674,710,571,117,174,373,689,119,681,033,465,968,088,587,653,791,937,753,503,
666,087,709,615,171,185,329,195,563,657,560,842,570,484,769,168,271,471,230,
709,195,837,009,660,783,954,836,648,295,791,167,283,470,280,633,679,591,123,
825,733,493,975,525,166,962,916,885,714,788,497,565,206,405,791,851,984,968,
037,918,709,933,578,448,194,199,711,206,758,833,433,405,452,654,435,860,193,
949,240,383,345,542,356,183,772,020,977,655,778,564,989,198,208,987,992,404,
556,274,388,097,014,060,233,953,279,256,712,696,360,061,475,928,186,901,050,
789,754,126,919,348,056,787,764,549,373,893,385,364,634,794,508,074,284,635,
771,198,567,453,187,405,953,649,830,852,119,687,830,049,809,563,037,528,312,
953,607,366,314,597,247,633,783,413,146,299,842,243,315,278,619,604,220,214,
565,318,443,282,062,533,612,769,433,848,019,148,747,060,112,951,006,052,086,
489,745,541,965,687,456,424,161,224,636,402,116,796,880,082,963,982,425,600,
968,679,867,794,507,347,160,573,008,419,058,294,119,239,592,783,700,698,218,
023,369,610,749,263,089,393,516,183,004,864,016,655,560,024,819,897,215,239,
926,592,468,251,643,445,413,062,771,323,030,419,837,696,748,619,561,275,878,
012,796,083,091,026,804,323,396,047,191,423,298,540,252,900,638,589,361,064,
266,294,877,141,225,944,013,646,312,467,969,981,486,985,854,018,602,133,272,
330,572,340,968,141,930,655,411,876,821,619,471,219,708,140,228,814,353,876,
818,395,954,217,740,296,307,969,358,842,541,994,840,829,215,660,274,341,957,
106,424,260,394,095,308,237,888,147,155,986,699,294,505,239,446,771,645,171,
354,094,115,231,396,520,754,434,826,045,922,973,991,352,801,075,092,858,779,
156,536,921,202,689,043,319,757,570,498,680,986,370,303,209,486,997,389,316,
664,573,409,896,290,542,102,522,640,222,849,171,740,398,036,232,132,063,656,
411,206,433,197,669,283,184,728,887,850,621,211,219,291,261,621,814,302,041,
857,635,987,421,921,180,210,684,424,880,609,674,561,192,646,503,977,848,583,
047,046,142,169,404,303,688,450,210,060,766,354,507,525,785,225,178,937,102,
105,612,730,783,480,243,522,184,871,357,065,796,737,846,631,375,459,018,854,
122,705,004,966,496,103,581,361,903,980,692,202,004,424,135,492,839,110,250,
537,096,545,772,802,621,320,573,857,452,728,117,421,613,489,885,763,266,510,
463,770,963,495,432,143,089,331,544,871,490,075,364,401,375,581,473,842,750,
955,318,428,719,004,271,099,664,265,055,093,812,731,462,239,170,435,746,260,
083,669,727,257,230,619,432,836,007,377,508,183,749,656,923,012,807,402,466,
214,279,415,288,904,456,427,400,736,359,737,225,846,280,784,240,628,081,134,
707,390,646,416,406,282,542,625,287,053,198,841,408,864,793,969,025,507,236,
364,872,219,708,710,075,724,945,281,386,327,094,536,209,322,314,649,158,137,
615,792,254,166,091,560,850,783,514,747,218,467,426,930,976,172,690,078,900,
479,996,186,674,761,371,898,033,000,215,415,002,052,310,547,586,439,544,765,
661,497,361,761,772,314,442,756,809,674,147,494,479,368,862,240,894,983,335,
604,433,766,299,404,837,561,542,339,189,983,313,801,722,118,658,999,935,144,
576,741,473,125,995,825,061,643,176,175,519,802,414,395,778,018,076,636,592,
924,960,278,933,890,492,679,195,955,161,128,398,262,919,424,340,576,520,116,
245,059,728,808,098,621,412,159,933,169,418,106,364,768,270,598,856,933,559,
784,340,283,877,065,151,313,759,770,792,533,137,267,733,031,276,223,713,305,
595,587,727,813,862,580,691,258,673,505,700,433,431,800,245,400,528,599,698,
153,609,605,881,805,232,639,930,809,655,906,538,713,345,940,825,043,366,959,
415,180,029,309,033,128,372,035,365,871,101,355,282,030,176,867,071,865,292,
765,826,226,978,632,983,584,907,793,268,797,639,540,553,920,761,895,565,727,
219,937,827,631,818,764,686,434,431,863,411,872,339,705,915,986,428,584,437,
408,116,408,452,002,599,394,317,561,701,007,428,061,998,128,625,053,303,257,
539,579,038,552,837,166,796,728,222,478,745,700,417,821,397,062,478,840,359,
403,475,792,062,051,975,757,876,785,579,483,362,244,661,766,565,898,067,356,
530,800,423,906,326,767,501,704,028,469,940,465,519,423,493,554,959,963,475,
014,775,183,618,108,660,279,968,852,813,006,638,902,759,431,250,633,211,758,
448,673,200,388,410,270,077,700,637,764,961,703,574,684,269,002,922,321,771,
530,589,471,401,856,029,031,530,998,346,433,413,592,937,602,877,939,989,091,
869,125,748,320,832,903,475,973,908,827,406,933,216,629,923,496,996,022,996,
438,314,708,459,974,711,032,141,107,637,220,322,630,003,911,100,039,163,267,
720,834,918,071,611,668,283,276,280,314,445,250,280,084,766,661,585,740,645,
171,871,507,972,108,934,072,267,436,611,906,954,094,676,543,339,593,959,106,
257,405,594,065,479,108,321,691,514,391,884,831,813,352,170,065,311,515,798,
319,138,453,851,625,336,019,276,828,398,663,727,619,520,713,586,076,311,607,
336,472,992,285,622,708,254,674,019,391,242,637,062,128,457,153,178,742,579,
165,581,801,162,042,515,726,980,667,210,273,098,817,095,358,582,417,086,753,
706,878,644,062,750,102,408,983,113,435,803,294,690,972,595,692,954,993,392,
272,157,604,054,282,819,241,874,890,069,300,619,050,065,764,339,256,844,423,
446,474,568,740,423,722,566,661,901,645,317,188,126,924,100,954,546,267,355,
827,786,398,627,501,887,840,060,337,752,571,869,254,141,445,523,139,813,957,
961,453,614,381,183,596,839,773,101,987,801,513,790,302,566,083,140,214,638,
937,314,189,035,272,572,208,297,064,749,929,087,246,489,011,278,521,501,047,
358,275,332,636,180,707,675,801,552,334,970,427,956,736,146,007,791,912,348,
722,402,568,262,035,920,030,582,458,593,473,239,092,735,461,708,186,193,789,
599,092,802,907,315,490,219,920,051,186,810,744,021,681,147,472,901,428,434,
586,801,959,819,260,124,139,749,947,478,421,467,394,264,258,098,884,571,799,
318,222,319,437,616,411,285,254,391,177,575,487,123,898,828,209,973,710,262,
598,701,684,228,772,059,411,535,840,965,523,553,698,861,414,121,471,651,488,
489,436,208,304,028,503,484,793,231,422,948,198,555,826,917,908,814,228,741,
901,121,888,604,687,052,837,600,025,768,496,547,855,062,565,269,728,205,376,
722,070,813,851,004,521,667,230,586,701,548,956,089,463,933,645,097,315,064,
114,690,448,520,580,982,739,455,668,697,692,877,408,728,661,130,837,379,716,
099,208,700,807,218,018,879,186,498,697,560,066,738,834,749,971,563,570,997,
718,157,302,750,800,196,310,905,867,679,896,254,332,562,386,942,384,698,730,
483,214,599,387,429,651,942,504,834,363,417,629,999,628,805,487,401,833,356,
134,364,742,056,972,555,157,331,977,385,828,430,193,712,824,858,739,665,382,
057,568,157,544,998,265,228,633,591,707,877,554,287,959,951,406,484,862,156,
054,653,092,757,459,443,555,430,835,668,504,548,091,994,846,194,753,059,314,
107,399,036,311,437,624,198,754,331,253,195,857,411,123,336,757,358,019,664,
938,499,810,498,017,030,380,297,041,871,189,203,312,488,389,421,595,853,148,
464,419,045,442,757,129,748,709,539,353,157,985,944,465,814,163,875,583,454,
243,373,901,093,189,786,807,886,875,277,237,557,483,074,079,298,552,100,404,
956,300,544,441,086,868,969,871,643,415,500,036,721,913,601,146,127,402,062,
153,828,975,412,211,861,543,857,500,509,507,251,416,952,794,872,047,691,439,
087,295,628,300,484,189,620,250,942,922,331,680,097,475,494,984,243,807,591,
834,851,416,355,807,149,338,366,025,826,169,139,438,607,668,507,004,891,902,
246,480,954,782,555,927,727,823,103,309,021,623,378,043,853,940,366,949,671,
328,905,567,391,362,605,317,782,290,145,170,081,709,242,607,551,842,913,096,
683,942,049,823,023,330,159,626,552,656,768,339,208,048,427,455,610,993,920,
368,798,992,240,888,174,471,646,902,110,547,270,877,038,750,071,481,715,830,
413,184,607,130,702,506,131,284,204,436,657,128,978,322,784,734,540,415,646,
045,194,524,806,661,867,843,908,587,367,591,684,843,458,988,609,535,897,329,
659,597,561,279,920,025,254,825,851,736,816,854,948,131,238,937,719,781,650,
539,080,025,905,166,409,855,158,066,837,774,637,176,524,205,933,633,033,768,
337,302,604,601,231,332,521,841,395,897,135,376,103,433,935,581,737,191,362,
073,732,768,470,814,454,988,151,182,956,569,817,421,995,273,353,147,359,118,
148,343,011,381,858,791,984,936,760,428,103,407,478,534,659,874,359,093,999,
796,717,427,867,781,787,314,349,062,850,742,227,583,326,219,583,546,925,173,
280,901,412,204,228,342,883,444,520,653,651,544,754,562,513,246,414,168,229,
601,091,717,354,601,097,804,732,895,814,156,797,756,136,224,509,399,893,374,
573,714,169,730,432,097,939,886,289,796,013,882,865,895,428,603,699,908,577,
307,136,865,289,539,699,046,193,293,083,628,070,247,785,531,436,555,471,673,
679,505,149,237,568,067,584,706,786,733,732,804,825,582,793,537,623,846,813,
318,819,969,021,363,913,811,815,040,390,864,826,417,221,517,998,033,588,555,
139,773,339,810,876,435,334,176,356,815,682,394,203,244,962,628,203,026,312,
114,921,192,209,590,355,369,159,831,533,866,787,110,675,463,309,937,258,423,
544,142,576,315,320,771,981,728,892,662,195,955,603,171,376,539,832,899,324,
323,564,471,932,607,314,039,173,339,759,406,868,554,147,879,062,256,535,843,
311,349,860,736,731,823,554,634,257,099,004,220,255,127,389,457,150,544,490,
618,287,474,197,792,166,999,528,860,580,526,819,612,817,847,447,303,415,028,
980,461,791,881,585,488,475,612,922,933,571,011,545,888,683,390,362,706,578,
826,111,761,728,541,894,585,869,002,428,588,299,868,362,757,309,546,079,068,
325,160,579,050,041,317,236,963,413,634,944,643,249,469,417,177,124,743,975,
949,270,322,702,371,477,894,659,446,261,820,481,874,980,800,767,065,387,101,
127,107,254,442,905,140,885,008,965,742,301,081,778,189,120,628,010,142,412,
120,226,712,391,958,887,565,048,379,159,085,266,259,451,542,356,176,343,519,
195,347,993,447,580,768,251,117,185,035,741,476,121,494,500,119,629,356,735,
901,841,198,570,602,629,524,375,747,052,942,157,770,947,395,579,004,702,118,
524,717,937,049,837,323,229,040,470,401,176,463,165,161,096,759,504,484,047,
101,402,359,151,045,161,936,376,678,863,094,298,055,132,819,558,992,233,523,
255,244,315,995,737,941,829,983,067,891,035,659,027,096,415,947,544,151,341,
557,758,093,047,583,055,352,026,245,021,737,629,380,471,036,890,144,841,195,
445,883,772,327,945,371,111,072,031,017,946,763,852,998,221,452,153,221,619,
261,318,940,506,794,651,846,166,454,774,416,275,429,685,221,338,843,884,943,
537,103,413,109,198,667,577,204,950,553,582,466,528,175,579,127,812,512,580,
261,241,200,857,960,062,312,711,641,296,260,866,644,690,788,539,660,092,551,
601,173,925,674,333,281,213,703,808,995,895,731,003,626,488,322,963,454,640,
810,454,994,233,807,566,617,638,856,568,439,147,712,832,297,133,214,688,966,
592,708,798,139,892,129,921,629,572,196,050,824,474,587,572,831,324,121,045,
042,327,044,693,539,278,199,363,769,359,162,796,670,616,783,712,262,166,466,
562,716,837,793,220,713,079,907,498,063,794,209,183,942,277,899,352,170,057,
470,712,894,867,909,254,260,761,649,076,406,543,589,702,348,106,507,351,597,
831,851,559,781,681,774,867,942,726,639,285,425,552,556,978,222,390,535,297,
035,566,259,792,275,450,002,827,602,215,027,264,080,278,072,153,089,707,525,
347,678,320,157,412,073,570,814,704,272,472,182,793,712,275,514,950,409,143,
977,454,819,569,632,039,892,024,779,571,759,143,071,076,673,444,466,387,514,
678,747,379,548,167,477,306,018,761,408,786,802,702,917,172,167,473,503,327,
604,045,101,949,668,486,533,314,476,401,981,398,159,556,679,212,059,776,457,
660,267,646,228,298,269,979,470,617,233,679,025,833,086,297,297,450,765,057,
503,688,542,420,054,834,849,617,691,711,129,634,122,361,956,126,893,331,557,
208,051,825,618,462,192,179,018,248,055,287,265,441,542,425,971,547,953,860,
716,366,158,788,313,264,384,014,713,422,701,036,575,407,505,188,501,693,396,
151,387,503,910,150,149,755,113,698,331,709,526,946,041,392,964,310,192,914,
686,263,841,666,501,090,727,152,016,140,320,227,804,572,104,998,708,299,377,
840,137,797,184,337,335,734,712,882,953,724,183,994,991,973,959,157,866,482,
501,690,542,930,948,635,300,246,801,245,803,441,144,681,307,365,412,903,828,
590,662,978,640,449,935,520,903,526,556,397,137,408,897,917,573,645,810,979,
067,338,937,168,225,116,842,458,573,754,136,654,649,374,165,965,725,985,339,
945,909,116,737,402,375,966,089,578,702,413,041,826,368,895,428,169,755,093,
315,888,514,908,145,287,499,573,710,727,913,288,061,913,767,522,263,931,440,
228,407,922,067,869,296,314,920,041,369,729,254,140,397,386,421,824,911,945,
746,595,955,977,783,046,112,839,491,468,442,756,402,307,333,065,421,515,401,
260,041,822,753,335,668,013,754,209,385,443,733,297,965,900,041,056,435,607,
826,273,278,119,882,255,717,381,068,610,245,551,471,759,074,839,767,544,678,
969,852,905,487,499,929,580,681,191,471,057,269,142,495,221,509,354,250,094,
499,452,088,621,856,821,154,048,063,389,962,283,354,758,910,222,748,965,521,
030,376,371,757,686,180,146,093,854,380,324,678,101,022,383,779,563,164,107,
514,006,983,554,419,964,042,875,982,859,614,168,458,635,528,173,972,944,020,
415,284,770,391,921,486,708,506,682,348,368,501,490,269,774,712,127,715,294,
313,647,807,574,660,231,918,570,058,921,549,058,822,396,735,175,719,626,406,
049,597,199,369,729,087,451,058,327,198,661,577,758,735,997,037,527,089,289,
441,989,060,610,698,869,749,951,094,090,314,321,473,370,311,943,362,543,037,
503,646,389,245,347,743,206,011,772,675,997,225,277,245,004,710,728,077,391,
258,094,387,395,545,156,865,340,635,557,073,008,741,546,837,209,840,074,253,
773,133,624,500,354,701,269,469,101,973,807,523,116,374,122,044,921,216,184,
152,511,134,242,058,400,894,473,532,164,357,045,024,829,432,927,712,812,756,
399,086,123,447,682,731,243,288,931,216,365,625,316,305,848,760,636,455,404,
727,285,031,216,242,721,268,999,304,406,378,136,735,067,918,297,353,287,336,
183,934,773,437,321,925,538,982,853,430,884,442,495,750,720,496,603,573,780,
015,782,285,076,176,604,048,014,021,136,104,396,313,760,928,789,463,229,153,
775,203,338,115,107,811,600,567,566,045,424,352,193,586,923,837,349,698,642,
722,679,841,914,040,151,042,215,631,800,370,380,222,872,350,034,564,480,673,
707,324,449,560,572,328,571,081,675,741,397,666,203,404,776,601,143,141,166,
518,596,684,692,034,781,371,308,224,806,763,633,841,967,972,913,054,864,771,
013,544,594,179,275,099,918,831,166,431,685,532,952,371,919,311,632,493,312,
252,121,559,315,598,552,827,469,094,147,486,506,562,864,110,323,672,571,127,
903,926,807,999,697,476,618,783,739,721,002,978,896,934,826,201,175,247,196,
644,802,336,803,900,178,422,948,550,188,753,458,190,080,144,153,255,618,179,
633,162,075,435,865,024,282,537,827,292,855,314,946,366,519,617,224,834,221,
286,290,981,202,868,713,343,047,139,717,685,161,581,343,521,152,551,895,522,
663,836,337,131,100,046,370,522,633,527,796,638,084,045,692,023,650,950,515,
759,274,339,200,974,683,149,793,852,284,047,095,232,638,642,156,080,714,820,
672,090,029,914,667,335,964,700,449,302,124,631,880,048,638,385,561,070,048,
826,179,099,057,700,231,205,766,688,478,047,263,859,591,835,027,246,280,412,
781,794,470,906,229,263,423,962,226,095,959,885,348,489,988,143,543,194,198,
681,115,046,025,681,127,144,885,060,258,214,487,011,096,128,408,155,820,943,
689,012,805,200,900,506,781,454,793,030,574,628,738,178,293,280,088,224,642,
181,099,874,943,565,484,724,489,784,586,525,178,663,155,245,093,183,173,348,
216,614,534,953,010,322,107,224,080,143,804,757,364,824,617,183,518,558,669,
948,471,403,620,386,060,350,778,326,644,524,895,652,154,226,416,763,457,195,
859,292,623,055,756,272,882,453,981,516,005,200,556,334,109,890,725,661,009,
637,594,520,995,338,017,652,083,600,318,747,751,780,685,239,774,884,812,807,
589,803,768,163,163,782,584,942,154,180,612,440,212,357,321,373,900,553,802,
934,018,645,771,014,019,315,066,196,222,759,553,631,954,396,426,504,801,200,
892,558,510,890,535,046,599,402,594,101,197,762,390,596,362,349,685,205,869,
899,488,280,223,413,451,776,375,381,010,428,929,174,146,816,864,274,889,373,
671,715,536,163,567,115,466,618,864,361,278,807,524,851,475,686,842,430,645,
166,617,145,047,145,996,394,453,036,642,725,846,870,496,726,946,746,325,048,
507,962,831,562,626,776,837,906,382,272,273,482,003,722,049,026,700,415,300,
137,640,648,454,096,961,329,376,447,437,343,973,688,444,949,446,222,258,217,
654,980,952,216,577,288,031,471,003,878,909,139,079,362,352,192,083,024,821,
772,689,368,358,549,679,408,363,017,347,087,841,924,508,694,675,191,020,519,
551,012,792,348,697,760,652,678,408,789,118,310,886,602,943,717,693,977,579,
667,529,353,110,219,598,951,014,231,974,698,884,271,425,861,058,929,097,892,
432,882,946,516,157,832,719,583,481,869,630,019,243,423,451,111,425,114,544,
603,992,628,251,512,323,294,369,492,845,667,734,574,997,524,479,332,270,505,
258,449,158,265,244,366,583,681,840,165,775,192,150,652,381,275,681,167,769,
269,210,070,286,942,417,456,493,255,757,067,906,684,176,441,225,676,704,958,
055,003,955,154,462,454,398,670,615,771,466,892,927,978,891,320,884,803,733,
895,002,408,226,860,674,454,892,335,406,521,927,072,197,933,721,365,671,307,
616,226,390,902,998,061,867,779,672,819,133,034,623,671,023,966,543,642,468,
812,515,171,432,427,916,804,095,796,332,705,313,394,276,103,102,435,467,570,
755,756,164,752,493,069,682,259,790,582,057,798,960,300,608,123,329,140,433,
778,290,494,758,156,264,984,487,358,115,595,028,079,882,480,970,649,871,221,
084,237,139,165,128,488,210,320,053,835,014,987,894,412,873,119,708,295,435,
744,966,285,126,588,079,458,884,272,473,466,378,160,042,242,871,715,211,322,
827,098,752,031,361,748,226,237,287,007,960,618,467,397,383,997,144,045,963,
210,061,832,278,412,030,180,945,230,931,287,014,671,341,960,484,239,260,415,
038,998,156,009,140,640,939,902,968,539,846,937,790,729,241,486,853,364,283,
259,803,791,850,939,530,203,237,936,938,836,250,321,909,464,502,227,671,406,
360,146,242,070,855,017,941,838,036,811,443,673,611,689,552,192,621,996,555,
679,219,439,788,951,410,212,881,775,914,896,182,731,785,476,153,834,588,484,
028,344,082,263,599,291,738,423,363,078,462,768,573,202,942,151,197,058,992,
163,665,891,887,401,213,780,489,305,506,393,428,286,518,153,807,241,145,094,
307,351,757,135,651,818,823,958,428,307,456,549,245,613,839,833,095,422,576,
167,117,412,712,941,700,886,003,104,543,263,813,764,220,218,438,585,005,468,
529,193,195,263,613,056,485,971,730,347,195,123,904,278,597,199,919,262,429,
892,333,707,537,556,550,238,902,984,162,433,299,676,150,563,363,437,560,730,
196,547,952,591,501,150,735,326,394,121,643,422,951,302,024,247,060,714,194,
069,251,282,202,565,584,878,536,919,381,516,185,446,676,652,863,983,984,964,
138,096,334,864,704,081,243,195,120,663,925,292,707,707,441,376,859,851,411,
300,771,169,812,864,399,403,517,477,568,567,997,775,443,798,061,876,406,466,
234,029,714,100,037,690,462,280,697,197,467,453,151,294,617,833,469,153,784,
989,518,365,680,724,071,468,766,806,525,105,910,752,924,491,513,672,558,482,
892,456,124,263,483,908,606,072,503,004,110,085,367,044,432,115,787,549,367,
468,786,046,420,773,367,611,828,353,194,114,045,473,663,191,383,988,621,303,
955,984,275,935,949,379,177,584,155,422,939,965,103,427,588,536,242,061,003,
860,856,026,636,263,395,477,956,397,476,685,962,710,757,376,909,335,180,669,
115,881,031,645,736,378,133,079,053,406,856,538,217,642,011,981,269,958,692,
708,127,497,071,587,070,827,606,397,327,977,115,637,447,129,959,022,061,168,
538,847,939,282,733,606,866,208,229,891,811,149,123,876,160,656,247,835,007,
187,908,305,617,653,013,502,131,115,572,337,603,190,036,090,425,831,484,078,
770,122,132,658,343,403,895,456,088,951,964,814,955,028,853,484,870,658,742,
532,151,754,083,139,302,127,409,186,851,860,043,047,455,777,069,384,046,416,
440,751,262,326,538,584,739,214,562,161,159,995,981,152,124,772,805,986,032,
114,785,693,935,162,199,560,894,157,548,230,090,637,530,579,539,100,751,562,
928,266,057,758,062,454,050,126,811,275,634,414,444,218,223,975,540,230,397,
912,212,067,130,645,023,804,596,968,273,488,049,352,328,362,430,155,233,019,
241,455,481,472,363,566,634,698,785,866,417,382,268,450,356,290,152,333,950,
421,070,472,007,717,620,467,602,060,338,683,988,260,978,942,074,876,896,251,
646,450,683,816,739,590,818,113,532,094,885,952,115,740,198,810,536,533,542,
525,952,729,501,435,143,471,089,959,094,288,895,967,542,180,800,487,312,888,
073,943,891,919,743,557,452,605,184,704,088,669,891,552,853,593,803,346,460,
886,936,492,956,758,793,779,860,182,128,528,575,468,264,775,264,713,712,918,
615,396,299,192,836,248,290,999,866,528,620,317,611,696,385,340,031,425,222,
838,911,759,719,817,323,579,692,700,089,435,513,293,667,573,582,156,866,485,
215,200,886,026,257,153,487,866,492,549,562,230,911,785,916,671,740,123,244,
216,052,754,400,734,348,009,211,324,976,787,219,466,334,883,934,228,995,600,
316,571,622,849,302,772,503,042,433,132,575,277,017,503,660,398,097,783,839,
101,954,589,031,718,996,428,421,038,254,813,728,464,357,885,838,483,209,352,
536,836,250,596,192,879,378,744,225,240,730,498,869,539,959,720,420,709,412,
722,110,563,882,396,194,596,877,721,479,161,887,784,408,013,769,832,367,160,
921,635,439,783,887,089,154,981,767,162,961,974,555,692,039,088,890,742,365,
997,562,869,558,998,570,396,606,140,190,350,198,460,401,669,170,735,232,356,
887,018,911,707,175,906,178,265,993,607,082,251,699,454,334,322,372,793,397,
851,287,696,587,495,439,196,592,610,276,844,753,408,934,082,381,948,876,059,
942,369,855,230,992,908,644,589,811,533,021,224,300,372,262,904,803,175,228,
534,013,081,465,653,450,914,919,831,294,882,910,978,150,023,475,551,803,999,
582,219,311,444,376,247,853,939,669,475,508,140,962,697,149,801,448,632,565,
049,017,034,859,399,259,644,949,688,282,173,039,325,968,043,669,671,537,610,
498,705,102,922,154,520,884,066,007,439,885,947,614,764,970,244,589,820,413,
629,278,443,391,793,938,567,251,418,445,164,653,656,081,711,876,698,752,890,
471,664,583,853,399,475,197,356,547,462,425,414,702,325,402,685,770,630,765,
484,314,523,235,601,862,577,621,440,705,566,838,549,249,454,527,800,595,833,
804,365,323,260,538,289,687,063,831,626,463,890,786,046,145,341,112,365,466,
898,664,489,681,805,039,681,336,863,503,475,264,712,120,948,008,172,741,503,
844,786,860,187,892,119,449,791,899,963,542,441,099,473,696,521,863,346,242,
449,578,075,036,764,294,414,621,481,581,423,691,788,106,715,704,393,510,398,
436,687,226,603,223,571,958,794,211,717,442,741,111,579,523,676,891,320,420,
321,329,446,426,601,246,735,823,119,756,774,336,097,357,325,646,971,748,358,
153,991,000,711,544,059,615,377,234,027,203,482,176,469,776,335,700,118,834,
582,786,421,473,147,635,068,376,982,393,049,966,678,082,934,727,624,351,880,
760,874,406,773,266,948,451,392,725,441,047,647,780,426,863,857,154,170,876,
730,669,562,534,326,315,654,220,110,186,327,370,171,438,523,429,997,008,667,
066,779,339,071,549,582,867,508,169,811,962,489,705,869,348,089,009,925,304,
053,091,716,110,843,579,559,187,592,317,697,594,218,247,519,903,857,013,291,
593,978,555,386,409,345,911,024,017,662,665,797,158,724,913,740,456,478,214,
342,809,075,007,598,051,744,618,107,385,665,518,954,639,664,732,692,661,059,
663,589,500,618,196,095,834,527,788,468,781,227,653,543,402,212,046,600,114,
127,866,116,871,988,589,031,133,012,439,185,465,826,292,281,867,749,909,152,
732,579,387,807,738,297,883,772,917,630,190,241,584,610,596,741,641,482,524,
261,213,876,718,290,827,039,903,659,289,960,096,849,019,973,039,350,690,719,
034,557,944,355,234,441,419,617,294,399,325,591,539,387,588,578,133,892,925,
673,095,524,378,387,145,872,690,584,027,414,800,292,844,295,166,410,103,371,
110,512,229,743,745,964,027,493,066,872,720,306,141,895,547,161,422,009,251,
180,118,306,091,589,347,789,622,146,458,082,877,287,690,121,243,974,046,445,
656,507,638,613,633,025,468,704,583,405,232,303,521,701,242,716,107,030,055,
664,630,143,673,204,098,649,288,651,775,279,583,529,335,539,672,565,041,212,
319,257,667,026,977,278,403,417,940,212,039,434,131,579,656,116,555,270,510,
648,357,474,814,778,241,485,961,565,334,340,243,371,330,033,933,452,398,552,
655,656,727,390,616,610,363,746,874,843,733,070,533,722,261,167,330,860,605,
135,538,585,081,500,147,301,535,119,243,792,562,701,440,670,221,541,525,179,
602,437,617,225,365,827,101,796,267,985,812,335,093,210,152,501,228,572,622,
928,877,720,772,578,950,945,953,399,918,331,539,223,071,263,884,720,648,911,
088,688,036,117,353,165,926,198,821,468,007,081,488,882,793,386,000,952,867,
322,302,736,488,660,787,109,134,149,574,766,853,922,227,617,450,176,264,153,
551,665,234,245,606,780,624,087,074,928,570,133,112,468,442,640,101,308,342,
414,259,933,890,921,599,830,777,006,478,161,735,546,979,377,666,934,385,126,
594,068,447,634,748,949,125,333,710,883,967,279,904,584,613,074,122,661,438,
167,152,405,586,650,436,484,237,570,448,894,495,109,889,358,812,328,498,542,
995,105,472,371,194,414,578,628,980,143,403,906,354,259,018,214,994,768,291,
170,666,481,468,979,374,667,119,206,368,782,829,806,435,135,481,634,507,523,
403,587,769,160,308,684,927,112,853,691,743,346,054,975,040,139,978,211,757,
461,231,829,157,224,254,411,931,163,614,529,532,351,324,634,573,102,499,125,
391,166,859,806,238,737,865,015,604,976,122,845,285,726,262,611,876,583,865,
977,907,560,776,170,548,875,891,070,986,928,024,580,638,713,587,649,247,572,
083,752,549,745,630,038,343,951,885,153,245,249,359,590,249,706,645,450,887,
401,594,066,124,152,297,888,680,342,142,490,392,490,491,818,423,451,168,317,
127,652,893,127,262,920,317,260,222,959,240,674,370,430,457,035,818,957,822,
054,827,357,990,380,546,785,975,115,946,863,828,505,059,638,907,382,784,464,
725,518,290,451,602,438,352,852,604,998,391,306,670,639,059,373,262,538,410,
958,101,517,109,474,567,811,781,722,290,340,562,604,810,810,110,354,492,605,
192,114,326,500,678,791,015,611,553,810,163,352,164,856,490,084,184,629,045,
952,818,801,812,669,422,165,374,955,789,054,855,006,979,310,055,883,409,993,
443,184,636,870,699,732,178,491,571,360,954,861,519,266,315,563,563,835,646,
943,979,776,811,462,738,467,814,719,767,806,644,404,559,946,125,455,306,390,
848,716,372,483,471,073,929,699,388,786,618,847,924,184,290,678,713,104,845,
615,555,568,908,959,511,595,898,709,198,908,276,415,097,656,343,917,688,590,
176,624,253,595,809,321,761,545,731,562,154,701,087,507,429,897,434,038,807,
078,081,271,719,817,251,411,307,508,859,573,392,725,133,890,707,246,473,934,
842,383,155,733,958,204,248,670,513,196,935,742,912,827,141,558,730,208,918,
925,378,222,840,774,915,787,279,035,185,173,457,378,254,408,494,603,791,731,
441,470,225,925,197,102,598,449,182,422,929,977,279,230,493,598,119,678,923,
505,533,989,161,450,462,225,187,158,981,974,745,315,618,861,198,647,225,962,
202,071,241,281,769,379,623,467,724,216,871,242,809,757,011,518,144,399,142,
333,562,623,196,556,107,013,575,239,146,835,980,544,840,994,686,500,983,994,
411,801,941,301,554,095,086,586,320,725,745,535,248,857,654,595,791,842,284,
825,545,671,054,368,620,506,691,109,200,492,222,656,420,149,548,128,325,389,
166,335,707,270,578,073,690,820,974,118,966,143,985,890,367,591,928,118,775,
175,705,614,849,520,310,766,319,063,896,447,605,177,064,374,215,396,422,358,
452,028,638,001,125,570,279,621,022,961,036,867,291,548,778,584,550,509,487,
718,841,805,479,932,904,249,793,441,353,787,161,424,354,516,058,969,620,118,
662,570,906,181,498,362,444,783,747,245,034,164,161,130,837,276,751,551,752,
601,994,956,204,052,295,035,600,027,278,433,825,062,670,069,683,709,516,178,
068,052,310,210,141,991,543,265,155,610,417,036,596,504,842,249,503,549,787,
120,319,951,871,154,165,500,693,067,407,522,276,374,262,369,549,411,758,640,
043,595,573,394,054,037,655,234,095,629,299,656,345,312,740,060,908,942,831,
482,770,897,765,256,363,100,677,519,088,612,031,479,679,084,495,669,127,585,
698,014,043,428,830,899,750,092,228,801,985,032,696,048,088,370,623,430,200,
542,379,595,470,461,719,941,921,439,730,492,732,582,799,377,491,640,214,425,
177,912,835,154,044,547,486,516,323,799,233,138,695,065,938,553,805,378,953,
118,501,244,143,194,246,491,457,234,921,589,943,961,999,577,907,743,680,414,
890,508,840,151,383,237,326,037,676,870,465,865,420,392,883,863,557,194,068,
770,272,223,245,488,980,070,107,567,362,904,446,569,847,963,543,334,587,732,
807,926,269,560,033,693,654,137,194,884,575,909,724,526,619,179,663,953,081,
737,679,483,597,635,967,719,293,542,694,379,117,128,163,259,088,947,888,648,
659,977,617,968,091,462,039,802,700,324,954,100,948,845,835,046,440,207,322,
632,333,031,982,153,751,554,298,177,752,217,576,869,760,205,043,802,837,121,
047,394,726,163,032,127,950,454,961,280,504,878,568,218,634,999,572,198,997,
929,350,711,840,077,573,807,481,987,638,086,189,972,130,260,407,434,291,053,
002,891,983,480,551,780,304,159,535,208,822,092,711,618,624,573,264,487,956,
003,175,883,792,116,962,658,052,326,910,141,982,091,417,994,815,739,968,525,
451,703,337,037,473,303,643,007,282,044,114,186,731,428,958,491,892,655,074,
073,610,006,454,464,535,174,688,921,888,884,107,463,916,057,019,600,932,236,
531,271,794,670,211,574,548,423,857,157,139,861,002,065,535,769,974,839,138,
170,267,868,085,588,738,632,937,041,709,489,642,074,743,973,256,625,506,676,
040,379,138,434,748,773,274,140,762,823,104,888,266,801,796,418,803,315,294,
507,284,089,729,268,837,512,406,025,089,455,736,903,326,573,643,237,837,413,
176,329,060,476,314,217,679,353,318,069,514,178,739,257,438,149,961,293,393,
378,547,834,287,926,835,036,014,932,266,455,863,727,233,856,792,051,925,591,
745,666,315,969,959,902,151,406,041,846,923,114,018,871,878,076,661,388,091,
799,652,999,516,660,939,344,045,929,172,307,225,539,849,360,222,857,253,763,
965,036,205,609,929,555,179,054,814,502,389,097,041,940,091,786,089,490,738,
017,552,985,440,000,588,075,649,668,874,122,695,885,882,081,981,712,973,227,
509,908,666,978,396,270,805,920,746,034,059,627,833,927,930,342,796,361,173,
446,006,048,128,053,154,570,877,019,635,628,925,154,415,674,026,400,859,901,
687,964,195,262,854,031,338,185,126,563,728,825,399,901,559,210,779,556,872,
419,161,549,268,350,370,479,744,987,446,651,372,562,071,909,884,343,361,996,
296,831,572,894,420,384,474,232,468,599,919,674,485,770,666,300,442,299,454,
431,592,848,487,641,925,575,298,819,191,732,510,605,643,552,499,030,606,764,
852,457,253,753,184,489,453,072,166,878,501,391,679,867,879,481,128,065,354,
891,473,953,410,358,806,881,202,310,932,832,909,454,068,870,764,685,158,835,
584,220,014,834,909,582,412,141,747,624,654,330,940,006,164,296,602,766,272,
500,447,075,500,704,657,729,899,683,071,068,044,579,692,148,628,910,391,249,
721,689,525,299,892,225,645,177,715,156,849,091,880,036,988,799,044,170,619,
322,789,358,369,679,018,398,911,340,033,886,819,035,291,956,804,677,934,889,
222,003,336,955,567,122,962,513,039,800,799,305,667,385,288,719,943,821,633,
886,729,841,308,307,630,141,196,869,429,014,273,673,030,340,069,538,116,179,
904,745,562,629,856,016,773,081,628,721,886,609,079,779,710,993,433,072,904,
660,299,356,496,713,092,798,408,156,631,765,152,782,836,150,852,836,174,552,
005,192,713,513,343,688,495,479,824,567,156,003,353,889,371,246,813,121,443,
469,940,358,555,397,538,687,390,146,338,684,683,034,123,674,490,274,631,560,
813,682,624,299,567,209,331,921,204,149,559,292,427,171,583,621,704,166,106,
627,195,789,187,650,171,711,948,952,961,778,392,230,071,576,417,442,540,051,
654,954,679,093,908,815,291,570,371,172,014,996,697,827,000,637,213,787,015,
746,023,612,205,521,260,835,063,649,532,333,034,179,236,375,378,968,134,706,
503,023,276,432,257,785,303,643,357,782,716,318,091,902,353,679,784,797,303,
994,988,097,128,967,819,424,737,880,436,209,376,890,932,525,658,627,242,271,
664,750,822,170,432,535,138,793,276,668,085,497,091,622,607,518,554,415,602,
977,378,546,643,116,259,836,511,371,228,698,592,415,246,781,479,792,110,110,
596,328,819,622,484,519,834,024,878,457,875,405,010,172,521,421,564,021,060,
774,938,485,060,991,413,781,593,987,419,006,875,944,874,038,177,048,585,802,
129,889,845,813,715,959,545,287,026,375,966,440,058,128,412,915,334,697,839,
797,953,585,653,481,265,745,246,261,665,374,978,093,972,184,718,676,541,301,
722,816,364,905,056,223,584,133,880,007,300,480,751,599,614,054,728,666,316,
371,015,875,559,933,215,185,957,436,083,357,007,353,693,857,621,319,881,883,
122,601,454,441,660,996,771,515,109,346,712,166,846,965,410,814,779,980,902,
346,821,636,733,128,737,816,591,233,808,753,425,367,356,911,421,463,191,013,
768,489,423,615,435,802,195,273,261,237,969,034,945,385,511,903,878,123,978,
518,413,707,102,726,902,062,415,643,582,382,823,678,933,623,066,232,269,583,
651,212,671,125,219,811,746,008,305,603,576,377,685,870,883,042,222,370,757,
723,278,596,683,771,161,331,653,022,595,475,930,378,673,207,402,061,302,701,
105,671,395,858,969,988,923,787,115,429,694,508,456,774,712,465,382,318,772,
406,820,549,962,597,775,539,336,845,916,088,467,926,797,998,199,789,113,066,
716,023,634,610,286,376,851,819,354,811,415,844,322,942,656,608,916,569,382,
704,785,565,597,287,393,747,927,965,501,847,481,450,948,658,937,522,894,516,
429,601,529,593,029,189,002,861,675,218,386,875,589,723,844,911,777,450,398,
817,749,637,202,390,902,443,337,256,421,955,101,487,731,792,758,631,394,208,
034,223,816,034,753,156,864,696,625,808,408,325,350,009,970,181,491,906,929,
674,671,431,876,119,039,600,623,603,535,418,120,586,290,177,933,526,015,556,
189,067,949,473,842,110,098,869,481,343,543,126,292,197,742,915,530,062,028,
764,278,814,186,270,534,176,310,985,051,981,940,312,007,931,148,648,118,833,
011,634,656,745,268,713,266,816,046,617,998,945,895,263,899,986,396,432,641,
366,146,736,513,419,493,601,073,601,196,209,514,335,508,098,126,514,954,314,
793,042,604,136,366,997,322,473,585,118,094,264,106,122,720,656,842,553,746,
889,519,959,517,273,133,665,492,187,865,898,041,812,906,188,578,787,146,423,
668,138,668,338,038,410,074,079,673,483,745,299,177,490,025,175,788,365,998,
308,891,788,987,641,527,001,684,813,159,271,358,838,234,158,762,849,834,189,
234,428,482,113,028,159,173,254,356,945,909,587,721,052,557,742,393,884,625,
145,274,184,304,419,283,766,487,580,195,190,864,390,316,582,333,061,671,154,
869,438,449,714,186,298,854,353,087,275,824,387,604,555,586,002,941,779,919,
010,285,053,536,737,215,728,127,360,564,817,316,107,577,522,072,617,899,803,
053,286,935,052,360,313,303,237,729,826,849,161,284,770,068,192,266,944,500,
954,238,030,812,735,351,090,206,202,241,095,945,011,447,431,022,937,126,806,
062,479,682,994,204,026,802,328,515,673,224,365,861,401,651,723,142,537,502,
033,493,127,307,525,197,442,041,973,901,737,213,568,625,144,970,087,062,555,
745,539,183,459,332,471,335,059,719,065,766,117,627,079,080,046,096,673,509,
343,091,629,797,891,568,018,073,875,512,632,713,570,978,841,172,590,720,817,
808,208,854,391,888,639,142,725,623,991,870,679,072,038,430,776,343,340,817,
580,199,925,320,709,276,594,975,005,476,706,095,098,835,086,742,028,043,041,
636,960,878,702,603,271,805,879,046,556,771,791,128,732,823,634,081,030,849,
839,100,454,104,980,069,072,180,647,805,838,860,227,813,321,194,327,613,930,
997,683,858,409,385,062,322,317,544,083,327,383,866,720,203,216,799,068,285,
103,657,871,996,814,237,167,670,484,181,945,789,443,345,161,032,150,472,795,
441,006,861,650,592,834,294,319,625,697,581,858,792,312,197,380,885,834,536,
614,024,748,207,067,938,492,512,242,658,672,042,951,140,976,809,971,593,425,
075,874,999,118,258,730,030,680,972,796,210,332,977,517,640,552,160,769,570,
640,501,776,768,135,142,795,324,519,573,671,056,089,579,294,778,813,980,240,
788,238,453,327,406,040,131,547,277,267,488,826,307,070,737,876,786,350,745,
705,334,625,998,144,254,793,802,471,544,280,196,345,907,788,502,169,402,315,
618,343,662,756,346,942,413,894,660,584,551,745,275,377,669,860,627,300,751,
111,676,063,825,364,679,771,201,598,618,884,626,691,876,399,358,085,593,159,
244,999,030,323,463,892,885,219,072,987,701,474,967,239,700,112,392,389,672,
272,567,943,366,944,708,517,660,081,656,348,452,440,321,439,353,870,813,729,
594,975,451,025,094,129,004,107,679,839,946,211,676,441,594,881,882,294,688,
096,017,729,176,743,052,026,701,841,784,981,947,530,390,971,505,354,357,279,
125,471,648,732,731,758,243,748,649,158,048,386,925,166,096,909,303,383,375,
958,384,690,104,183,343,903,712,370,443,434,307,759,924,141,000,492,896,703,
212,148,121,564,673,174,808,476,859,798,916,164,103,156,072,595,760,332,213,
738,513,639,641,796,868,566,622,262,034,301,562,466,410,349,804,947,549,840,
866,363,807,223,075,787,365,304,732,464,740,197,833,164,979,733,542,949,167,
183,245,550,280,873,670,028,396,057,173,557,730,634,526,219,694,909,284,882,
785,849,197,966,814,678,026,359,687,700,163,821,092,351,257,470,528,985,643,
212,616,817,852,934,116,396,987,655,786,224,843,345,965,466,786,106,746,200,
015,114,683,600,141,618,719,408,482,871,478,295,360,991,861,921,792,257,152,
416,087,813,621,165,125,107,795,170,716,703,994,874,190,368,819,213,362,156,
815,374,197,929,888,685,086,972,349,078,295,372,659,435,101,227,169,022,164,
683,004,352,077,261,130,078,960,322,102,423,356,899,551,455,864,280,249,829,
061,258,378,045,334,476,353,091,494,960,444,195,839,899,806,455,493,511,250,
258,578,550,105,534,950,053,103,594,783,358,589,341,678,367,395,248,781,380,
928,801,198,505,841,765,417,160,207,199,079,329,619,776,710,263,780,114,245,
750,029,282,531,007,685,157,916,833,071,552,993,680,875,110,015,054,337,174,
014,152,283,886,338,027,187,808,013,480,104,997,841,773,197,159,876,041,239,
874,736,986,461,589,306,765,047,127,269,588,169,309,811,661,478,175,156,391,
609,376,157,935,488,236,398,563,606,575,534,125,908,900,096,523,916,755,740,
395,885,332,249,170,550,920,063,747,382,052,371,855,205,528,861,233,846,274,
992,795,237,429,320,056,861,107,078,434,911,639,955,565,938,505,516,103,129,
507,808,829,089,152,575,465,657,877,839,384,587,819,815,162,637,866,003,186,
027,907,718,302,393,242,186,138,676,621,190,098,325,717,123,079,745,377,409,
087,846,765,961,893,488,740,374,233,689,473,409,436,309,616,874,997,959,881,
062,276,941,470,429,627,841,684,692,045,533,010,078,884,751,116,269,582,270,
989,889,930,508,699,932,862,287,689,773,734,810,224,615,405,359,159,313,751,
551,310,350,300,112,401,380,211,515,653,167,743,949,217,130,409,037,806,742,
116,904,716,058,237,852,137,104,787,617,654,925,167,742,292,920,059,130,657,
178,125,155,863,840,108,983,109,623,199,145,011,494,559,033,851,053,149,869,
326,101,116,602,030,951,876,410,006,038,756,855,615,272,263,405,023,982,141,
853,875,355,527,324,906,553,841,186,761,264,609,926,973,820,613,370,297,302,
076,965,711,086,142,485,103,488,771,370,913,226,254,555,119,571,079,062,934,
124,884,566,576,231,631,869,508,004,494,482,116,603,821,523,235,174,032,125,
704,138,948,441,102,553,466,887,901,970,595,772,238,708,826,222,962,480,332,
845,462,956,150,122,432,894,409,578,932,970,498,498,311,866,336,792,326,870,
460,489,952,784,402,348,321,576,685,922,260,489,495,839,807,095,364,292,488,
483,853,326,584,296,856,447,413,475,655,186,046,580,887,851,835,829,156,930,
953,127,405,082,825,331,980,782,672,454,629,043,000,502,943,018,558,909,987,
416,186,552,114,174,455,704,700,763,861,876,858,329,216,964,280,537,398,884,
477,872,904,241,878,456,909,469,967,183,833,727,427,469,138,271,806,560,808,
136,057,322,614,626,997,333,730,586,599,013,535,697,913,729,860,368,609,808,
044,400,100,712,240,249,487,913,706,160,824,178,185,695,893,913,348,849,962,
517,136,102,246,335,164,794,714,887,408,454,837,340,832,222,509,215,244,651,
393,845,130,988,856,413,056,973,570,416,086,588,661,500,944,284,597,932,017,
032,822,523,007,163,952,985,058,038,907,166,269,863,930,449,452,537,394,350,
070,465,052,979,607,741,140,239,100,758,968,812,252,317,761,167,388,725,491,
039,664,623,713,321,247,216,714,468,406,553,614,498,232,688,199,348,507,117,
334,351,762,430,648,332,663,804,547,672,347,614,334,353,769,646,135,108,039,
683,043,988,015,734,853,072,007,748,312,094,998,347,199,306,285,972,970,418,
469,813,603,730,594,970,629,645,725,249,997,112,398,316,007,070,151,595,772,
105,713,165,739,339,018,315,909,408,408,632,532,494,476,941,786,432,893,346,
155,253,854,309,374,102,776,439,306,964,889,817,145,677,461,408,783,669,093,
190,970,108,385,221,001,468,804,620,666,930,949,689,231,643,660,175,912,156,
208,208,169,971,148,192,888,783,766,969,122,763,726,201,793,500,297,720,586,
329,913,163,275,125,120,531,031,522,599,086,693,912,034,262,638,786,382,775,
306,686,748,231,755,732,148,971,540,938,251,283,921,474,641,806,911,434,593,
558,457,759,352,299,672,909,380,937,049,270,956,280,733,519,034,183,878,487,
415,764,625,177,111,913,486,105,881,971,661,531,508,977,478,312,022,843,488,
253,157,498,083,522,397,015,543,057,714,611,141,049,195,345,199,161,460,086,
516,568,827,022,355,939,200,690,759,100,289,395,667,841,282,767,187,855,631,
341,509,082,402,296,087,505,754,529,606,844,053,706,594,234,541,427,118,959,
279,073,486,583,340,155,365,596,341,451,454,451,762,823,190,800,245,183,754,
525,539,768,117,307,170,568,821,577,953,003,967,378,321,671,733,806,613,476,
475,342,553,564,566,373,001,319,696,871,617,548,306,521,292,037,063,595,862,
445,526,734,944,977,179,305,386,666,174,628,013,293,965,340,484,947,276,675,
521,682,173,149,871,706,416,313,988,286,802,982,612,012,483,219,340,148,399,
838,112,301,118,671,344,001,889,238,146,651,204,199,470,385,344,558,034,529,
525,224,352,727,819,514,373,361,318,679,800,610,617,368,462,883,615,040,251,
247,627,601,401,078,043,797,638,240,747,898,894,830,826,108,383,064,005,576,
412,489,858,266,657,737,364,623,829,667,582,466,409,883,016,488,923,354,818,
789,206,751,395,550,047,397,453,086,151,037,742,160,481,230,984,633,885,103,
333,030,301,379,025,473,957,459,026,400,332,600,275,005,096,904,633,696,384,
502,410,883,949,022,283,130,676,241,935,191,492,549,240,239,071,810,301,593,
179,955,781,847,933,846,246,056,234,711,082,988,557,143,756,245,848,084,931,
277,098,164,004,784,175,899,851,630,271,977,814,711,270,573,175,888,056,263,
205,391,658,735,063,556,150,860,066,507,416,132,357,539,930,020,261,493,034,
885,888,203,892,182,356,348,293,751,372,305,812,760,780,509,556,997,380,180,
733,158,487,041,920,875,400,908,280,122,284,025,753,934,939,936,605,449,531,
583,630,122,422,234,208,673,758,950,845,762,074,004,898,205,557,590,136,603,
678,049,235,006,957,619,888,164,029,060,836,901,452,376,763,422,765,786,834,
535,801,834,009,257,970,364,487,695,736,006,011,999,628,801,116,179,548,227,
045,354,211,013,958,099,188,610,295,844,352,749,104,491,097,602,613,323,042,
809,759,914,037,283,957,537,115,192,858,751,134,799,181,867,912,891,017,123,
030,889,360,282,955,989,570,226,452,155,874,790,437,256,707,530,336,239,402,
801,149,871,820,275,497,840,347,182,615,171,214,767,946,861,069,956,098,402,
710,778,311,276,504,698,967,760,500,739,774,374,152,974,966,421,482,410,860,
905,451,948,274,217,024,629,169,739,506,994,729,373,390,834,714,763,459,703,
965,716,336,671,715,752,482,842,999,393,744,406,091,193,687,633,720,409,785,
166,223,427,905,537,740,200,116,290,756,580,768,081,127,155,311,748,306,036,
557,942,711,501,948,527,215,749,899,241,489,630,362,550,003,967,253,489,837,
174,000,989,388,056,574,276,360,119,172,465,081,543,506,912,619,946,959,175,
262,370,053,287,426,212,068,402,986,996,122,969,660,411,651,219,094,557,464,
501,009,910,947,491,293,575,301,161,232,079,616,234,794,523,499,248,777,573,
291,872,651,999,488,530,593,444,868,997,393,867,956,646,814,034,694,065,816,
461,624,865,543,719,504,243,271,587,063,826,063,315,363,215,197,467,481,236,
866,490,845,007,770,395,162,157,348,047,230,194,276,287,241,658,013,176,076,
481,198,168,920,557,923,129,528,688,828,698,213,147,599,340,177,601,348,641,
429,026,107,801,063,549,588,488,741,180,772,681,330,130,116,357,074,165,273,
039,755,919,085,804,809,405,576,802,441,464,400,614,810,157,031,999,443,864,
913,612,252,285,102,738,819,512,645,070,368,296,735,911,731,334,156,972,928,
393,177,995,742,415,321,966,352,308,025,680,832,241,970,989,694,214,209,059,
878,730,779,410,885,475,159,801,970,586,519,786,310,643,246,955,773,286,249,
646,888,626,718,600,062,335,821,054,699,331,416,926,878,123,494,910,961,695,
905,924,863,898,490,021,766,838,020,139,761,966,375,577,420,288,768,551,579,
517,554,431,270,782,149,135,304,067,158,292,396,642,830,023,040,979,977,282,
139,709,773,936,934,009,452,365,443,557,627,408,172,616,035,257,684,008,435,
590,669,584,724,852,921,201,531,266,122,409,051,721,209,872,997,641,312,948,
847,573,613,066,645,331,028,697,131,736,068,108,344,005,497,549,295,928,793,
097,029,821,056,030,215,771,160,134,670,366,315,634,885,320,762,242,889,427,
840,946,244,456,519,179,324,851,058,859,911,588,895,006,882,095,848,200,253,
000,509,754,407,412,189,739,665,969,170,663,781,654,359,901,911,194,483,940,
922,440,389,231,801,670,214,421,070,928,658,342,283,814,998,905,625,086,841,
490,139,708,521,665,317,873,828,761,643,098,933,344,073,280,324,931,193,287,
811,976,669,999,322,128,470,738,955,730,438,324,057,438,853,873,293,321,134,
581,744,258,663,448,856,886,907,450,147,553,437,306,591,841,536,283,974,754,
476,958,005,841,483,672,116,556,663,662,461,369,195,980,159,594,968,254,716,
297,384,557,133,898,779,282,260,356,567,649,190,012,589,246,619,390,647,663,
206,258,211,014,614,463,316,117,763,244,292,215,156,792,261,874,895,202,946,
255,363,615,362,931,320,890,314,520,970,779,412,293,316,545,118,203,451,400,
162,802,131,200,734,351,337,298,377,027,023,926,789,485,863,569,991,320,808,
864,722,892,225,630,909,373,720,241,446,665,076,762,975,456,121,409,587,038,
146,717,031,028,654,324,085,034,384,668,591,013,814,437,094,017,808,540,366,
498,751,621,648,333,137,382,055,504,340,372,670,099,632,151,078,007,669,869,
904,019,278,153,497,654,062,424,516,444,011,176,736,511,646,155,250,030,492,
240,648,875,389,938,216,199,859,803,538,098,161,765,873,825,710,852,811,001,
055,465,762,346,891,241,552,190,346,492,524,647,366,104,265,971,398,935,131,
682,666,923,598,461,575,437,433,984,239,622,271,995,908,674,678,218,347,039,
717,165,426,131,878,096,278,484,574,902,671,186,034,460,298,160,066,496,350,
372,574,072,381,167,982,555,889,618,202,339,941,002,454,414,843,445,084,056,
952,127,243,118,470,982,683,869,754,353,609,080,745,800,384,347,829,819,150,
399,528,307,920,493,992,916,590,422,362,171,675,595,682,603,818,528,533,559,
769,445,614,131,721,848,195,919,841,541,335,997,661,860,143,973,753,443,614,
388,622,412,919,976,810,876,365,168,502,356,623,515,298,556,836,359,671,665,
791,792,011,993,984,891,143,242,054,652,944,191,264,196,366,557,142,357,258,
035,885,630,203,279,460,887,205,418,669,313,013,810,640,114,715,525,265,414,
941,289,888,342,445,733,198,560,023,302,083,239,687,507,567,482,568,652,550,
779,389,749,360,309,216,370,721,981,238,285,532,468,791,655,987,655,220,045,
675,105,534,093,070,046,048,876,522,490,461,349,238,489,888,551,960,127,676,
150,052,494,494,175,472,863,793,917,496,029,516,521,173,563,170,657,704,138,
595,409,930,048,625,337,399,828,333,424,325,593,280,502,110,338,409,440,095,
848,114,794,303,003,334,106,977,980,563,451,922,787,055,795,975,870,773,201,
859,070,901,606,781,831,610,941,469,321,888,593,412,481,697,634,498,421,433,
678,879,810,335,147,352,438,522,447,008,760,596,035,307,739,068,499,077,422,
894,382,947,001,451,778,088,258,527,502,471,254,614,926,244,838,612,319,451,
861,888,614,099,988,279,536,309,495,917,441,577,923,422,646,446,473,928,682,
859,391,786,147,510,569,194,313,604,396,771,954,624,386,788,097,529,669,873,
641,612,575,109,601,397,610,715,563,078,079,568,343,277,420,329,968,278,279,
928,984,750,848,550,466,789,133,747,821,947,295,352,394,564,976,941,305,359,
828,004,082,109,453,793,398,993,972,777,861,216,001,136,444,274,985,910,874,
628,748,741,496,230,176,101,596,182,057,487,694,646,999,777,724,344,051,089,
172,055,530,427,307,067,261,229,536,318,998,137,252,384,426,718,508,325,572,
084,538,583,260,978,102,765,978,405,586,692,277,944,100,279,327,174,767,264,
933,311,648,457,710,409,422,249,477,553,105,744,307,132,950,731,376,127,489,
201,249,055,939,331,261,905,306,260,782,929,993,068,525,255,829,678,535,391,
445,142,135,040,520,700,421,827,497,658,994,122,508,358,459,185,316,676,257,
374,130,382,703,970,442,162,744,543,931,524,152,781,449,979,825,267,955,442,
448,787,796,212,731,641,386,923,303,267,251,811,980,797,132,118,134,671,068,
381,117,964,617,195,455,019,803,865,704,795,391,428,755,540,262,857,704,968,
534,864,915,458,366,159,827,828,690,192,186,336,943,214,685,225,859,074,841,
717,592,841,138,860,712,001,888,265,256,234,214,533,823,227,797,393,198,718,
455,540,501,545,702,188,114,062,492,690,951,781,465,907,234,266,321,504,670,
401,027,054,337,915,612,464,715,054,842,757,298,812,366,230,696,670,512,082,
937,952,263,958,655,152,502,959,247,083,298,161,478,917,214,784,818,558,106,
121,889,023,011,760,777,228,163,173,761,784,089,426,828,856,204,374,580,211,
107,111,620,979,479,885,580,997,304,335,784,853,267,611,819,665,446,223,359,
904,681,925,890,101,215,267,139,494,251,631,595,572,592,778,929,867,798,276,
652,359,433,985,979,616,632,842,993,186,282,745,233,436,728,568,329,291,395,
563,376,870,529,897,919,871,404,156,530,961,201,143,132,913,034,082,437,323,
897,548,879,233,071,329,033,138,527,493,678,649,432,803,946,742,302,359,911,
343,718,502,620,222,802,498,543,230,213,834,918,038,113,701,233,413,460,925,
359,759,799,013,499,271,797,022,457,915,435,352,409,673,622,080,975,291,554,
655,684,102,824,189,030,884,554,258,193,476,111,347,449,453,761,717,524,950,
604,932,263,772,798,507,794,707,004,385,879,448,368,433,436,601,871,038,471,
024,094,289,273,638,907,518,210,291,292,547,677,588,186,748,372,239,909,893,
814,692,312,874,064,078,074,199,863,731,156,960,595,347,099,340,775,391,835,
377,122,247,734,430,202,838,731,863,709,242,361,405,251,873,970,748,060,104,
395,236,796,400,771,199,580,458,758,367,353,359,648,966,637,338,800,720,581,
975,098,280,742,434,891,805,260,631,242,360,838,576,130,004,224,841,104,283,
773,052,694,058,058,922,422,553,974,121,498,269,496,842,607,265,129,607,431,
442,402,046,100,442,133,016,876,595,240,275,034,242,343,547,367,751,887,314,
030,873,031,116,545,382,589,871,109,538,511,538,127,333,335,204,932,431,843,
959,454,186,299,188,585,531,358,154,311,639,438,437,768,075,316,727,810,850,
741,440,730,776,648,169,269,754,553,102,144,826,836,806,639,478,939,306,847,
515,580,199,441,597,435,801,072,664,618,970,935,565,980,585,849,743,014,153,
663,685,600,466,771,070,676,790,818,655,461,053,589,258,112,158,769,566,855,
610,952,265,602,778,622,684,794,830,240,537,745,113,965,169,556,444,772,843,
332,651,914,303,622,417,358,467,184,473,863,019,135,313,329,075,986,288,995,
730,183,829,388,453,980,357,991,007,303,341,793,402,521,346,849,775,522,653,
893,972,374,225,040,778,456,388,965,850,392,453,749,246,322,962,988,697,249,
502,043,873,669,561,982,069,847,880,217,625,506,434,606,779,671,413,625,853,
931,088,930,755,557,476,201,664,239,620,695,673,538,576,900,709,700,680,207,
242,374,870,570,744,080,640,382,324,328,611,089,363,685,719,001,780,027,918,
814,980,593,275,586,437,054,108,455,125,889,262,419,742,381,434,408,881,224,
811,242,527,031,446,487,716,473,135,414,498,500,664,035,151,999,319,815,721,
091,323,947,484,118,301,704,583,158,079,902,225,838,262,868,435,560,270,791,
600,116,839,782,257,053,351,571,798,103,973,803,859,360,406,988,006,897,049,
027,891,826,895,492,203,727,868,310,890,503,833,809,317,557,493,112,441,063,
558,072,939,918,047,148,159,619,847,721,396,391,964,415,841,568,094,036,929,
577,099,270,612,341,890,908,799,083,234,222,709,638,112,259,810,980,486,859,
992,791,157,737,628,455,107,392,575,602,085,920,917,368,910,854,396,815,566,
148,554,665,782,413,476,689,073,147,228,339,055,049,694,869,561,529,398,042,
079,194,368,855,914,029,521,991,122,144,707,429,664,624,756,626,237,898,152,
067,930,875,281,815,459,085,747,010,599,779,226,599,740,842,206,210,705,556,
615,124,871,665,173,077,298,998,091,878,717,139,970,469,572,330,924,583,606,
658,839,151,763,002,045,949,754,617,801,046,813,366,111,282,783,265,016,120,
392,145,157,874,662,950,818,695,169,289,401,107,667,712,783,266,496,079,088,
273,913,120,591,245,243,848,736,698,673,958,148,946,947,499,902,657,126,957,
812,977,706,005,145,331,641,892,220,924,916,417,138,330,560,841,371,318,068,
397,410,798,403,529,482,831,561,037,009,794,752,819,787,668,395,977,617,481,
666,207,785,409,817,960,610,436,667,064,792,505,468,500,618,776,989,384,566,
571,471,750,710,103,143,478,160,534,695,850,863,327,664,343,147,190,857,513,
463,105,278,009,194,531,157,019,310,707,421,648,510,043,052,336,799,814,277,
800,917,753,891,313,673,110,726,789,329,015,393,739,857,992,037,792,483,746,
079,923,952,248,180,878,603,641,342,645,468,681,803,098,297,081,630,318,939,
532,750,369,677,054,586,535,589,813,193,834,913,895,788,386,697,790,932,640,
004,565,687,990,305,543,170,609,128,501,235,772,094,894,369,287,495,645,315,
753,512,662,949,472,157,857,548,237,002,238,562,842,449,183,884,740,929,599,
800,475,397,329,807,173,336,437,959,712,423,362,680,927,485,324,319,849,811,
687,037,168,726,541,711,938,473,309,420,172,734,047,327,285,056,626,004,017,
296,753,568,021,942,561,047,883,954,343,009,522,317,063,533,580,500,464,556,
006,647,912,860,805,981,471,180,088,968,612,094,209,211,476,956,737,052,089,
761,169,867,332,609,570,438,133,422,182,958,749,754,876,058,196,930,321,809,
267,964,320,010,416,831,327,993,451,238,168,237,030,209,306,686,983,750,339,
243,248,340,511,050,116,796,963,942,586,501,354,837,222,938,839,860,262,163,
285,934,563,546,606,512,255,731,122,799,000,545,959,175,287,099,725,030,451,
929,596,509,368,053,835,568,521,309,068,979,547,969,947,749,314,528,909,945,
355,632,975,928,587,959,572,006,293,126,297,740,655,634,352,467,338,440,145,
933,767,783,641,807,462,066,038,373,279,138,838,188,224,485,132,473,622,160,
667,149,573,613,530,851,418,958,014,853,477,047,535,062,687,238,943,048,783,
002,154,021,338,101,994,262,730,649,592,731,403,556,590,119,840,968,060,251,
081,617,445,561,194,913,238,569,950,529,770,887,122,812,176,274,427,283,239,
412,336,632,489,166,125,982,380,800,199,325,579,329,955,643,202,303,188,232,
804,901,441,476,937,510,137,048,346,695,389,614,717,553,755,047,436,078,257,
689,393,289,880,032,666,475,586,905,996,670,023,120,740,131,980,958,593,431,
007,180,382,668,875,435,034,067,389,120,338,014,863,829,340,794,590,635,263,
593,419,619,985,317,762,313,409,193,027,315,109,852,326,921,423,191,484,765,
144,674,616,625,515,943,116,263,145,148,146,525,914,376,312,435,768,155,482,
218,635,804,647,277,084,785,467,597,058,087,956,040,540,920,349,026,797,621,
244,527,838,378,312,532,998,035,997,822,364,901,828,631,586,539,116,211,586,
667,578,238,600,642,412,938,348,823,983,136,147,261,056,302,258,357,594,184,
023,774,661,829,854,998,664,891,135,285,199,389,195,225,151,638,814,242,283,
429,025,364,718,398,283,836,951,086,524,693,885,840,761,406,804,845,890,758,
613,383,517,689,812,536,240,314,108,031,288,935,311,868,408,649,482,869,805,
972,761,673,544,700,169,965,795,456,156,962,853,191,780,942,885,961,254,770,
087,906,703,453,169,656,405,845,800,554,891,116,218,868,223,982,733,499,981,
577,552,081,652,511,054,645,867,737,187,830,661,725,902,789,011,001,625,744,
532,241,770,676,219,925,892,560,218,151,318,563,137,509,245,858,866,527,226,
955,326,173,086,268,037,926,358,440,306,093,190,679,039,786,043,692,231,842,
295,014,844,561,184,556,488,334,231,216,091,691,317,672,981,322,716,053,577,
841,921,462,051,447,557,669,099,573,062,552,323,360,151,267,730,043,027,836,
755,820,593,553,981,995,614,541,555,912,692,478,374,761,096,814,124,048,566,
157,817,067,134,464,949,124,571,660,742,330,084,838,553,190,550,376,976,883,
797,585,528,101,047,047,074,417,658,729,225,692,724,726,614,471,813,439,072,
567,790,546,934,723,869,833,496,049,230,502,007,392,356,400,709,426,784,313,
936,372,439,142,095,391,072,858,515,409,644,050,110,372,414,740,542,561,278,
598,825,797,580,627,698,284,201,390,175,884,304,824,683,797,730,060,849,802,
335,970,661,643,747,239,008,164,580,181,295,181,121,506,166,385,750,069,071,
960,372,305,616,370,094,781,278,462,239,530,512,721,067,378,878,468,642,173,
036,989,119,454,881,699,501,157,924,722,444,358,374,113,403,392,975,364,290,
092,129,592,584,354,634,934,122,582,968,150,352,058,571,229,157,036,357,371,
744,747,252,506,167,577,821,229,112,088,348,300,445,959,500,370,388,953,792,
642,872,079,080,368,633,725,356,749,774,445,162,713,148,419,438,212,190,396,
505,766,698,507,674,271,917,968,144,240,794,052,468,728,737,310,592,096,443,
373,523,446,312,830,949,412,961,140,261,530,520,095,145,250,008,148,842,385,
933,260,946,922,231,340,707,777,347,036,730,227,938,177,704,655,976,644,564,
970,937,088,436,879,579,155,905,422,782,191,723,618,143,540,477,431,760,663,
288,514,424,961,122,757,960,156,084,515,889,004,123,048,491,898,552,969,201,
466,991,696,282,752,956,270,470,443,924,923,197,830,435,670,046,611,173,424,
544,958,294,436,918,101,045,844,641,064,576,988,770,910,282,841,955,662,258,
929,923,176,081,201,184,174,556,185,549,768,549,251,995,895,958,905,579,779,
274,473,440,229,468,452,619,378,002,757,594,384,588,290,388,684,089,098,302,
939,787,202,644,797,563,079,417,870,031,308,718,122,299,924,140,274,295,623,
220,693,329,669,862,371,807,081,901,095,951,179,093,493,220,408,295,929,995,
864,165,333,914,536,275,290,509,738,832,131,619,285,438,771,656,525,829,012,
748,295,887,905,072,403,143,738,308,096,126,329,677,513,617,142,195,541,596,
549,709,016,503,147,338,313,557,861,285,662,171,699,593,057,081,721,024,134,
265,422,077,327,119,155,653,858,903,694,649,537,191,820,856,111,102,528,843,
816,170,897,725,247,604,239,438,701,905,466,146,764,477,496,917,447,179,112,
574,119,433,332,747,244,324,654,082,222,277,654,317,915,947,486,977,982,690,
359,079,588,857,825,853,089,412,620,444,669,660,394,380,515,152,225,351,464,
899,919,523,713,478,474,841,662,060,570,924,870,525,689,706,614,390,266,035,
878,920,792,568,371,829,748,160,530,992,717,035,955,195,021,332,954,777,162,
077,617,797,959,128,893,747,157,437,786,360,393,966,945,646,870,674,830,288,
397,701,227,777,519,041,777,667,779,424,336,179,635,945,317,815,624,988,951,
841,147,217,912,087,970,633,719,221,738,545,986,808,053,428,478,536,029,477,
189,415,294,389,058,026,287,766,227,631,206,996,327,765,880,033,516,424,770,
116,291,983,769,169,168,184,951,498,840,115,479,755,033,062,997,294,759,528,
987,659,227,899,979,827,531,010,215,179,775,610,303,017,567,753,982,161,027,
678,122,880,892,874,735,634,771,937,525,236,057,067,249,825,332,412,750,198,
274,028,308,357,391,420,623,396,450,627,562,213,222,771,674,062,897,973,310,
680,457,296,295,242,742,776,485,082,309,653,160,974,970,478,925,518,067,592,
917,755,738,043,890,777,724,948,337,496,721,061,035,711,674,242,618,957,726,
197,008,282,803,420,096,206,864,607,113,838,181,429,646,127,720,304,951,269,
098,971,030,787,116,188,419,001,767,398,950,059,832,992,451,386,354,192,233,
994,154,683,823,091,439,351,400,746,131,080,233,818,083,779,974,662,111,233,
092,262,723,187,399,703,377,955,971,378,408,838,085,215,737,752,191,085,043,
973,907,809,698,772,789,635,627,231,311,363,142,386,110,193,316,253,617,853,
454,608,493,858,303,615,805,277,300,085,761,214,412,665,375,906,726,447,014,
418,731,206,200,004,815,196,235,698,413,074,267,459,374,731,762,284,147,353,
563,786,163,841,349,397,247,755,235,783,622,248,239,442,071,577,399,102,133,
418,798,089,840,699,852,765,456,011,210,623,558,408,897,286,546,338,010,996,
172,744,837,917,704,306,050,356,250,428,517,190,363,806,547,106,978,725,541,
062,925,103,187,931,538,588,765,066,807,232,303,943,453,445,678,341,622,628,
118,844,404,717,121,416,607,328,505,248,726,112,911,545,274,848,022,408,190,
091,525,338,354,157,697,049,744,602,088,548,930,915,581,583,031,282,085,710,
415,373,756,191,391,350,321,292,372,311,308,814,495,020,621,723,077,762,596,
735,871,838,208,155,658,229,187,845,805,201,536,025,384,227,138,705,198,153,
686,506,262,662,154,566,870,435,576,581,629,320,800,485,408,143,570,107,568,
580,655,512,613,672,437,339,643,266,077,273,474,843,097,119,021,803,556,411,
681,617,029,060,220,401,326,043,070,883,034,490,708,832,889,919,800,020,586,
323,912,611,601,494,921,931,575,985,648,949,637,341,597,332,136,712,208,837,
901,194,118,300,119,024,376,414,509,405,506,956,694,332,841,070,326,637,282,
981,408,265,885,355,629,115,293,823,049,935,285,965,475,732,211,500,624,838,
787,719,209,801,948,705,135,754,051,001,447,200,732,961,280,915,819,444,679,
920,179,447,281,053,609,969,051,419,505,576,439,041,124,610,721,668,863,826,
380,242,808,830,789,489,760,488,855,314,029,223,375,297,869,430,151,157,746,
229,558,558,027,861,244,123,012,229,894,063,829,232,760,109,195,310,545,675,
216,959,236,669,089,392,003,611,389,800,229,242,816,200,286,002,392,705,962,
894,774,976,609,192,321,114,193,466,338,237,364,828,895,108,173,682,155,228,
413,138,998,878,935,307,495,559,178,440,081,797,380,753,445,430,120,220,710,
295,869,390,139,988,691,231,594,418,994,110,783,914,117,681,192,949,636,372,
648,408,575,059,087,657,493,621,362,925,532,955,249,507,591,945,237,615,747,
636,139,362,960,316,404,323,340,794,959,236,039,719,499,693,088,982,325,849,
322,562,484,147,204,855,022,763,506,977,912,735,180,741,770,631,449,253,400,
161,310,264,021,343,445,135,747,788,416,675,144,767,308,363,205,934,680,380,
360,333,725,841,898,886,931,282,584,993,229,051,812,333,164,495,456,535,259,
194,635,914,610,944,361,173,818,530,014,434,434,617,910,801,464,110,907,712,
800,455,692,036,725,006,267,847,401,849,278,795,686,086,658,017,819,051,277,
130,545,441,654,216,677,080,187,204,032,221,020,625,086,661,429,854,486,115,
596,864,827,325,057,840,770,238,482,410,405,370,196,536,036,555,155,745,461,
049,299,168,996,309,529,869,182,208,828,329,681,319,509,187,073,261,675,097,
434,986,657,819,751,381,956,492,894,279,154,171,697,887,571,078,416,751,659,
940,890,397,181,187,495,394,226,492,280,467,857,576,035,776,781,746,355,457,
059,534,360,643,323,354,799,329,647,065,313,729,065,479,442,966,682,782,200,
456,896,676,995,409,798,898,580,274,926,875,458,074,254,266,552,451,402,219,
588,206,489,108,447,304,919,525,092,988,241,591,557,200,012,052,082,908,461,
742,658,698,371,887,963,758,029,720,978,637,059,939,151,094,951,076,937,845,
841,023,620,807,226,440,379,217,402,094,934,682,038,207,196,298,597,779,035,
500,142,643,633,916,560,119,395,353,412,171,875,834,497,875,448,548,026,529,
387,938,476,429,675,662,791,567,539,579,619,867,452,707,842,101,963,853,445,
791,850,181,832,668,034,838,719,489,599,409,996,159,031,678,701,158,306,711,
704,207,080,379,834,670,600,642,283,622,683,350,658,553,446,849,402,210,427,
290,456,621,276,134,129,074,491,901,942,477,184,568,169,001,213,933,052,686,
082,087,381,040,338,030,509,913,673,164,965,518,274,198,914,783,671,237,333,
645,299,113,123,823,233,756,747,893,037,980,603,925,352,451,194,505,955,770,
452,254,713,108,928,655,538,240,048,917,150,731,653,345,899,879,894,635,210,
432,186,836,159,605,696,705,274,181,564,088,718,128,892,354,747,169,968,302,
307,583,169,863,046,511,656,714,831,354,731,990,612,994,607,853,235,028,002,
623,833,040,876,577,143,453,372,118,969,282,327,421,463,886,785,412,735,261,
612,144,288,667,881,000,824,829,965,466,414,464,724,756,977,876,372,168,194,
413,118,088,667,939,460,416,915,041,235,459,725,037,484,753,010,059,456,178,
198,133,128,678,760,422,949,242,877,610,967,643,501,257,484,334,996,461,216,
772,578,479,368,712,722,183,071,325,855,178,395,750,374,762,055,827,827,244,
074,104,842,769,747,111,921,035,482,360,284,764,042,403,210,193,409,608,876,
193,854,726,409,911,813,242,850,641,826,373,725,681,945,136,649,698,014,012,
067,812,964,549,715,198,331,873,377,848,544,403,817,887,086,775,683,798,273,
963,774,421,766,359,382,957,706,954,338,777,164,608,075,538,093,174,715,298,
591,695,382,774,139,567,100,697,024,522,321,646,985,766,254,670,590,959,262,
091,935,590,908,618,805,229,529,984,719,609,156,447,189,999,038,689,881,527,
704,313,249,836,968,588,860,650,761,180,333,857,059,877,807,898,743,474,136,
876,130,568,869,853,700,372,198,014,219,129,211,543,321,666,455,739,547,213,
913,767,014,544,403,136,905,115,795,707,117,957,210,277,550,402,185,270,680,
150,837,197,069,270,782,009,786,511,441,293,038,466,488,511,160,532,230,921,
271,917,335,149,506,722,889,391,384,080,624,106,088,943,493,694,636,019,685,
522,422,605,270,491,783,475,690,235,635,001,081,180,384,297,432,574,364,181,
765,232,367,142,814,301,118,522,005,186,776,680,722,780,404,610,179,256,794,
715,221,367,840,484,391,444,961,481,157,856,182,691,325,280,409,147,952,542,
917,064,791,208,705,259,001,379,874,460,316,747,073,364,999,194,746,457,776,
954,729,105,250,845,155,741,368,426,104,864,069,573,443,194,198,501,088,689,
744,543,583,177,683,083,557,500,763,290,274,100,527,332,481,719,962,450,258,
049,889,584,582,178,847,028,687,600,578,552,061,167,769,457,214,777,030,647,
475,881,839,197,294,053,449,340,585,103,345,404,498,003,108,338,862,459,344,
287,611,016,560,916,820,467,299,178,080,727,383,326,451,165,917,734,652,081,
929,235,072,264,976,458,610,666,157,729,922,336,109,816,878,755,762,005,639,
639,103,012,863,402,734,223,060,341,516,896,252,936,673,576,659,475,520,251,
913,555,752,026,561,450,700,751,747,875,913,606,637,184,307,527,275,152,406,
431,047,808,742,144,506,914,043,453,221,896,363,553,956,056,677,302,971,967,
551,396,588,930,304,960,976,430,723,231,723,552,380,154,180,016,882,851,656,
399,040,154,692,968,734,081,848,621,245,203,920,255,935,596,630,784,621,696,
513,858,069,884,304,253,799,523,397,870,115,907,780,726,140,710,711,642,085,
502,310,190,299,269,535,980,514,219,008,390,318,972,332,091,278,740,207,632,
715,750,640,012,322,230,830,097,173,525,399,098,332,742,820,834,662,602,549,
123,627,608,001,684,759,782,969,158,381,985,898,274,744,380,118,152,080,010,
219,791,016,236,676,401,070,311,326,937,126,241,663,246,512,795,040,553,189,
171,914,355,211,188,181,085,579,669,021,299,657,379,602,178,392,088,835,184,
824,139,057,025,397,022,500,800,368,510,036,273,523,589,187,679,481,844,692,
913,377,391,951,525,891,044,256,402,510,141,969,029,856,660,896,082,027,460,
475,964,421,070,997,216,282,750,987,462,569,171,683,439,122,806,566,109,240,
694,809,160,813,559,720,906,530,163,284,133,302,080,610,056,537,261,301,226,
171,991,633,377,676,660,394,305,449,082,017,421,171,839,096,424,790,206,328,
804,776,246,943,252,820,030,236,219,582,337,077,049,909,289,383,294,875,660,
303,262,117,227,159,956,489,257,564,315,693,522,715,599,610,565,431,832,993,
022,172,381,722,240,135,920,848,715,054,311,886,330,841,894,772,136,750,661,
216,839,288,266,619,850,520,337,026,305,870,338,731,976,453,850,315,882,425,
702,095,013,486,016,489,444,515,217,880,355,820,136,795,588,248,079,075,181,
091,563,526,375,119,093,381,895,049,331,255,769,142,720,208,015,176,199,930,
696,382,434,890,556,126,454,051,398,169,651,403,351,572,548,861,711,697,703,
250,633,483,078,117,013,357,037,401,070,324,968,371,450,326,624,694,388,892,
429,381,057,311,874,959,677,462,071,957,747,378,068,724,018,389,286,603,011,
158,593,057,879,506,543,695,817,997,145,736,042,388,704,170,688,956,702,862,
234,112,701,645,563,197,876,992,421,474,555,462,197,773,987,428,864,364,619,
091,347,528,850,788,717,241,236,387,128,952,205,868,480,789,709,942,722,490,
837,151,620,347,000,960,324,443,167,974,236,643,423,134,946,618,083,533,544,
696,004,473,246,086,027,601,008,797,897,362,895,321,977,288,992,630,114,415,
208,084,878,819,947,103,574,681,759,769,471,125,019,450,005,879,529,234,708,
142,436,848,042,029,973,218,211,343,639,788,002,767,237,204,324,826,957,482,
649,595,530,118,011,772,832,350,633,271,845,636,154,772,105,260,782,345,704,
793,526,290,674,087,255,029,107,978,616,966,152,420,160,174,363,296,717,103,
795,347,188,611,630,154,081,905,521,985,298,857,812,441,754,488,563,835,992,
920,284,994,440,979,032,711,638,665,859,605,852,576,817,672,879,644,216,300,
637,816,581,000,097,891,993,929,687,220,234,713,309,302,884,960,727,604,323,
095,777,428,491,202,703,444,043,704,117,094,387,308,249,016,169,056,884,289,
749,032,201,995,337,266,628,588,646,197,547,317,351,881,062,332,825,085,631,
861,151,233,834,050,601,680,092,050,722,765,578,251,827,881,574,065,151,281,
319,665,807,794,182,418,826,616,481,620,295,543,249,293,249,631,600,984,762,
024,379,139,499,775,437,477,482,244,859,764,371,253,750,013,652,015,255,342,
932,813,538,163,801,827,042,308,110,240,131,153,652,192,743,171,856,547,941,
367,420,953,968,336,760,821,837,918,369,251,550,723,389,567,738,409,289,709,
310,257,767,709,889,141,266,227,248,390,481,198,272,806,835,057,354,549,575,
602,194,734,532,201,460,662,281,670,990,195,308,600,769,568,191,821,170,247,
283,322,395,190,784,444,004,330,686,509,154,258,660,925,737,613,396,122,278,
474,019,450,071,301,527,136,582,430,379,323,523,011,638,038,662,514,610,599,
239,257,624,978,209,550,731,609,543,450,866,009,560,962,354,103,851,662,422,
597,955,130,924,586,960,420,943,818,200,239,242,724,573,201,723,075,707,128,
976,402,580,703,178,920,035,391,240,489,996,883,718,690,513,776,706,886,971,
617,815,714,487,160,383,489,031,030,456,694,375,185,164,509,180,412,990,567,
957,155,886,428,254,922,210,994,422,199,150,132,326,783,515,560,249,715,076,
424,064,715,962,012,462,483,209,357,403,157,073,362,460,441,611,206,987,124,
127,695,126,221,540,896,672,809,413,186,049,969,704,974,606,242,416,825,838,
493,248,984,795,648,341,934,525,658,250,726,603,094,095,198,592,621,000,882,
666,762,065,674,969,315,777,290,484,244,941,363,613,494,639,117,856,663,140,
589,864,290,421,156,775,615,652,145,258,842,544,867,487,707,885,138,107,505,
368,463,465,745,027,246,104,594,750,166,765,770,703,994,693,448,309,500,065,
829,295,505,284,264,351,260,349,756,296,578,358,527,428,868,788,244,362,808,
492,917,917,471,470,292,796,233,768,664,361,828,589,334,147,248,198,535,531,
708,448,047,725,808,126,950,610,106,144,712,204,394,342,185,521,045,104,270,
440,719,950,657,922,759,221,936,562,362,381,075,126,777,917,665,455,434,175,
328,432,901,838,176,518,796,345,371,219,823,472,757,394,397,003,532,549,369,
112,521,802,845,568,362,760,204,608,654,610,567,495,096,573,060,257,065,103,
447,152,391,347,389,052,657,222,311,874,628,015,279,970,923,806,941,765,076,
743,433,887,031,325,865,767,859,881,242,007,740,432,378,075,262,965,177,988,
049,818,211,512,300,450,564,146,654,703,260,595,270,447,081,617,123,785,467,
976,814,833,968,548,358,208,397,921,390,434,491,572,155,733,057,179,289,910,
581,355,860,687,873,620,345,378,159,645,943,579,442,776,582,294,198,401,098,
719,826,868,036,856,338,701,435,779,761,944,110,170,238,366,103,402,607,574,
997,515,219,123,226,423,732,083,877,816,686,816,210,189,175,290,680,029,324,
370,323,500,076,630,691,299,079,196,756,007,917,474,752,859,935,648,167,180,
144,745,370,621,065,186,735,822,765,351,444,630,874,011,567,308,012,224,938,
820,342,501,392,092,358,628,933,607,395,604,648,588,452,011,188,938,721,446,
797,025,344,453,351,279,415,077,239,244,151,936,443,309,356,853,608,005,860,
661,567,008,503,122,765,809,255,267,786,402,121,075,415,398,979,359,876,298,
228,756,264,907,167,520,556,843,348,779,271,187,632,508,493,057,975,812,416,
792,306,443,516,868,979,443,798,875,196,626,254,551,652,499,816,421,082,820,
830,597,204,720,856,543,101,545,055,700,432,957,944,668,113,371,438,419,394,
859,598,913,658,251,899,039,330,986,745,933,913,986,855,137,337,017,943,255,
565,737,948,236,289,159,373,527,770,494,946,595,297,686,801,550,885,444,939,
669,834,727,239,766,900,919,301,578,186,259,797,283,881,666,028,684,953,840,
696,884,898,344,847,240,168,597,608,338,989,340,517,880,788,517,025,123,403,
637,233,546,853,017,309,598,177,942,399,475,486,468,670,125,604,895,654,697,
794,228,391,636,936,304,713,196,835,751,079,701,855,986,859,586,757,056,895,
616,058,690,140,299,812,851,826,823,793,914,622,710,303,460,396,583,211,970,
149,651,726,050,565,676,611,721,314,126,125,902,552,524,236,424,416,628,014,
827,991,040,691,339,562,905,458,260,155,778,486,448,072,976,171,730,116,625,
097,363,823,060,431,539,851,678,326,202,871,376,838,035,194,604,709,851,089,
967,975,760,466,890,664,655,400,097,255,303,338,294,860,543,557,785,754,597,
302,412,888,705,187,128,540,798,375,781,385,834,236,831,661,919,040,722,471,
440,536,046,102,590,418,258,977,377,060,169,714,806,411,141,279,566,991,935,
466,856,974,990,211,972,485,753,672,508,613,242,821,288,580,264,573,760,097,
801,749,173,593,739,127,655,252,184,325,155,723,585,116,496,324,094,823,777,
272,405,866,170,579,214,128,746,740,838,465,066,206,602,614,149,680,848,215,
437,457,153,488,619,215,331,429,532,702,411,770,457,049,202,799,742,729,690,
472,835,182,129,149,742,218,818,091,328,738,023,527,298,268,950,549,273,567,
546,318,226,851,388,509,868,929,783,426,131,626,411,670,746,551,203,340,026,
924,934,937,616,988,429,593,854,419,058,740,884,910,605,964,364,984,777,717,
658,913,768,761,309,031,447,780,715,270,915,045,682,609,869,807,444,555,038,
838,706,164,371,398,566,256,951,471,234,349,725,192,457,172,020,597,356,695,
014,023,667,248,008,504,855,970,083,295,906,903,332,806,795,897,878,035,836,
528,426,829,361,054,867,482,176,494,655,517,260,673,412,689,360,948,779,877,
479,163,595,472,439,842,753,172,242,190,408,488,957,395,173,551,069,613,617,
106,282,234,540,358,794,315,948,405,388,966,475,874,376,132,119,535,423,489,
778,724,942,545,926,934,885,987,416,221,182,678,264,121,927,282,094,128,851,
709,994,932,929,326,377,971,565,835,940,755,664,422,503,756,745,069,382,343,
591,248,956,533,190,845,366,745,405,212,506,923,693,127,804,848,626,262,007,
634,790,456,978,620,321,983,006,504,590,449,883,470,437,716,914,599,721,549,
722,314,774,706,071,406,687,175,678,444,191,189,831,657,132,320,012,918,536,
782,783,510,373,780,922,814,959,377,195,166,552,973,139,119,520,791,547,005,
451,466,236,915,239,769,598,123,975,281,152,296,029,020,491,398,847,473,769,
120,754,047,648,339,233,470,130,276,036,212,780,402,770,458,447,433,171,768,
803,864,145,625,071,375,528,901,535,923,063,156,368,067,967,578,389,593,025,
381,841,061,691,291,759,252,892,844,261,661,532,514,704,742,694,889,495,067,
722,030,753,038,661,465,754,336,988,736,432,724,122,336,859,792,258,632,936,
390,443,031,717,279,131,112,108,663,673,849,532,387,490,733,427,705,666,180,
794,726,559,882,044,427,599,965,785,221,381,920,117,905,937,342,661,193,884,
942,615,872,385,629,974,412,542,042,824,971,768,914,419,594,597,199,795,373,
907,396,095,012,326,832,711,832,463,927,552,737,268,108,825,440,976,287,332,
168,384,353,926,829,809,472,640,463,536,321,287,290,339,215,876,099,388,514,
205,383,440,921,943,717,776,569,088,120,593,217,508,072,412,521,916,323,139,
881,553,396,074,055,408,462,762,644,676,827,744,084,751,734,916,598,802,789,
936,411,590,982,617,647,843,516,771,934,368,418,974,158,688,619,023,605,099,
965,596,797,566,940,078,570,801,076,613,094,776,120,666,568,547,095,034,142,
910,209,096,785,957,391,469,719,311,905,977,989,016,756,019,087,763,594,960,
961,329,070,540,541,844,595,921,231,770,519,689,558,084,529,360,711,122,653,
065,766,407,335,407,320,812,379,270,491,598,207,607,134,778,264,790,184,057,
474,615,385,241,499,175,767,049,656,468,788,028,381,352,037,334,466,831,273,
174,696,422,682,320,037,383,483,752,051,982,902,326,388,031,207,970,591,978,
009,006,820,045,318,079,194,228,461,590,625,765,186,485,664,965,124,390,232,
552,217,382,317,652,332,150,560,846,683,998,845,975,562,047,263,015,603,691,
547,862,525,983,891,089,005,811,701,266,263,036,585,074,484,954,309,604,151,
647,541,780,432,262,383,955,122,709,677,681,639,682,074,315,948,558,958,773,
432,086,224,611,958,225,284,365,787,801,016,985,471,212,303,797,070,198,152,
107,382,333,961,422,400,853,611,295,368,626,784,631,431,645,932,403,088,579,
103,180,889,392,530,734,796,852,722,636,204,013,942,792,075,008,087,959,931,
388,639,405,735,578,299,189,682,083,617,984,496,561,614,273,104,185,778,343,
416,658,941,642,794,267,881,666,675,313,391,886,042,406,911,548,895,970,116,
981,444,021,632,822,198,569,836,409,863,148,801,129,309,582,362,783,170,652,
233,654,905,427,455,917,776,450,299,384,905,169,469,612,898,520,166,731,538,
350,650,982,797,442,752,525,686,044,821,831,359,053,624,591,025,926,461,799,
152,126,893,414,559,568,874,248,742,261,041,851,144,198,783,021,681,872,447,
080,215,818,450,154,953,866,442,196,200,856,765,627,886,822,740,826,432,553,
793,395,532,987,582,818,290,625,551,568,669,293,904,690,089,071,260,996,719,
088,536,320,958,908,104,607,695,922,956,757,456,778,380,387,265,177,578,286,
807,598,290,410,550,389,207,156,000,721,674,514,464,817,522,007,793,068,794,
516,532,232,173,314,151,607,238,605,562,399,044,946,868,519,723,943,288,373,
937,592,905,138,633,578,491,292,554,420,535,992,649,581,065,373,631,839,833,
488,415,918,250,282,386,327,556,605,765,666,753,659,169,118,453,035,441,449,
548,861,683,979,220,227,113,660,275,594,469,075,852,355,636,578,077,369,771,
394,936,845,931,729,094,218,097,262,182,815,484,723,816,797,016,604,159,348,
316,246,012,705,093,967,405,455,277,729,692,913,960,880,992,008,215,850,451,
860,730,046,054,994,873,556,094,955,903,596,559,245,645,931,552,529,963,512,
377,492,829,071,204,569,836,207,375,751,334,851,680,039,931,948,596,495,724,
445,280,358,630,858,318,200,519,643,537,307,283,882,934,786,960,571,820,075,
923,917,392,507,689,100,366,165,014,637,550,469,987,233,063,413,229,008,389,
296,439,064,942,781,573,116,619,737,886,455,493,464,137,637,033,013,442,860,
608,999,858,670,311,639,351,238,908,904,774,107,666,797,736,555,917,362,545,
069,853,689,045,170,676,174,970,086,860,923,099,746,664,872,930,572,584,183,
444,319,810,267,358,091,095,439,171,441,777,086,965,632,465,646,919,375,796,
994,632,650,005,983,207,768,177,992,656,835,759,695,376,479,296,716,578,829,
482,743,254,916,200,021,209,211,400,972,701,522,737,854,677,180,823,457,434,
746,933,003,168,367,459,784,784,524,397,883,823,472,438,223,042,857,163,227,
075,538,870,827,453,829,388,158,603,838,286,463,363,898,500,238,129,781,024,
506,336,040,424,337,637,029,477,112,299,716,399,014,514,091,225,092,698,557,
290,580,121,341,730,779,468,192,340,251,278,365,668,485,560,171,534,729,814,
520,756,462,866,033,243,752,093,509,829,613,764,249,291,975,194,283,717,167,
850,266,475,518,904,853,148,563,955,853,932,359,388,758,155,977,299,871,349,
996,559,119,626,218,380,304,357,154,874,448,341,240,750,022,728,376,376,893,
725,480,204,051,511,321,042,789,406,955,301,100,987,464,230,267,762,193,554,
642,608,148,099,512,821,064,660,013,080,966,834,340,635,011,134,601,321,559,
296,686,983,230,316,074,380,433,766,682,483,195,289,715,943,562,320,831,355,
026,663,436,529,834,853,344,370,131,353,594,799,165,756,991,826,303,442,457,
196,354,212,417,445,668,390,832,843,952,710,038,105,697,518,766,892,172,827,
525,538,523,296,452,621,487,897,706,829,273,682,261,881,015,250,447,792,753,
386,569,945,041,703,291,837,586,125,990,718,206,021,040,859,904,976,447,726,
504,614,952,054,069,967,176,724,198,283,203,856,999,135,800,492,393,628,910,
175,359,552,303,106,472,206,073,500,089,245,708,187,635,270,366,270,887,954,
251,680,707,144,536,472,113,529,173,299,528,611,391,127,914,124,790,982,355,
060,043,358,522,081,139,219,448,046,938,268,583,445,801,418,051,299,081,111,
932,992,793,694,745,381,358,313,608,858,731,110,705,351,183,559,151,063,302,
962,138,293,298,040,821,254,726,596,385,819,240,005,739,818,881,251,171,024,
972,160,521,863,184,110,479,413,019,186,664,273,139,195,974,699,726,443,242,
945,585,320,469,971,401,035,144,423,777,250,867,484,332,297,503,563,413,318,
904,703,896,373,667,722,443,858,566,573,421,578,585,789,311,067,028,136,309,
426,441,606,872,391,340,598,913,567,546,961,356,099,865,133,708,444,540,421,
725,291,828,159,718,890,313,344,076,024,404,180,633,409,991,399,097,094,541,
916,761,990,992,664,908,417,195,716,934,110,778,487,899,071,254,280,805,346,
474,013,337,130,136,022,398,055,628,109,741,672,211,192,862,154,112,169,381,
614,378,413,031,145,163,862,054,090,003,338,291,843,849,451,669,293,480,899,
234,758,389,760,048,099,674,070,659,543,619,469,966,956,063,400,244,485,951,
826,247,973,815,187,952,116,487,945,417,375,045,688,299,647,790,225,535,125,
943,333,184,781,260,835,668,129,774,615,135,722,465,528,882,966,194,456,405,
015,881,424,978,436,524,017,147,463,827,461,192,319,441,376,861,210,523,446,
857,280,326,143,866,683,563,318,473,959,270,701,416,608,468,004,629,907,324,
932,557,968,115,153,905,553,677,425,878,041,590,842,132,736,750,133,475,762,
535,550,715,963,210,036,964,051,598,433,766,170,568,371,494,826,540,258,002,
245,408,376,667,956,223,431,913,595,117,266,439,140,821,539,951,745,906,465,
184,578,950,425,986,052,704,756,970,852,851,674,321,472,254,548,284,668,488,
936,405,795,626,310,710,285,359,435,859,852,889,910,494,138,377,187,403,635,
176,064,666,503,948,853,603,499,649,501,344,808,669,930,938,539,338,895,676,
775,674,888,746,216,066,435,560,708,833,687,336,925,851,122,691,068,430,923,
724,264,167,796,172,723,735,214,784,171,025,452,832,423,934,188,609,692,955,
855,659,385,550,047,111,777,578,703,976,276,017,615,880,185,033,533,514,906,
828,849,072,989,148,282,118,898,004,413,705,198,642,527,464,803,158,036,536,
903,851,760,493,405,146,242,359,857,097,301,204,996,599,353,603,815,645,047,
267,810,481,701,414,437,752,879,500,940,448,458,665,759,440,927,931,191,463,
364,884,030,674,578,757,446,655,109,525,342,359,401,816,833,179,030,422,139,
711,683,833,372,020,093,678,424,119,791,002,388,514,596,888,799,205,793,356,
550,907,528,091,909,126,386,677,764,332,481,764,148,759,915,167,468,371,841,
722,436,093,685,521,963,462,960,414,577,701,220,135,216,489,752,748,726,818,
287,819,510,651,094,208,639,174,924,697,217,862,259,605,184,654,712,584,348,
128,117,848,726,381,422,829,373,037,838,597,669,057,946,022,428,502,895,072,
765,589,856,988,292,428,171,371,810,170,866,834,031,464,105,092,199,087,399,
558,898,391,525,157,775,228,359,399,746,283,775,366,299,189,031,195,380,376,
538,600,615,949,283,123,673,526,566,560,617,488,663,161,780,656,009,801,256,
796,340,755,105,818,495,197,073,861,485,911,197,270,103,753,216,469,992,929,
782,936,624,920,681,561,617,326,140,601,402,421,846,684,714,308,099,897,690,
257,210,752,826,847,579,498,237,120,438,201,649,954,745,763,787,448,875,028,
455,637,208,809,611,045,744,897,887,148,749,147,810,214,589,595,106,214,233,
198,342,638,416,703,612,212,486,771,098,490,494,591,323,162,665,020,978,926,
746,515,605,889,381,554,883,283,270,313,773,507,602,479,538,747,529,249,452,
419,888,737,606,160,308,759,987,985,852,961,127,469,171,033,979,786,598,613,
198,599,007,048,356,450,128,272,125,180,983,191,967,849,734,729,458,373,506,
161,800,006,314,709,324,263,622,566,314,027,866,872,332,026,468,065,022,907,
223,636,338,693,070,448,946,673,131,987,172,312,762,508,275,638,999,987,883,
594,160,005,632,028,191,036,169,304,998,972,916,777,919,228,384,468,844,991,
224,363,255,461,940,599,656,244,657,832,911,493,723,364,277,391,554,344,981,
791,581,515,951,632,552,423,146,092,864,203,765,004,053,802,605,671,284,438,
734,886,538,546,031,109,959,992,936,833,766,502,494,966,893,053,739,967,193,
695,868,974,815,090,599,546,272,102,633,744,774,538,208,192,391,010,644,223,
062,612,244,839,357,574,414,637,945,183,900,544,031,148,781,643,041,955,765,
620,576,811,259,496,731,246,923,973,505,294,546,076,820,922,301,670,669,623,
412,922,962,568,041,794,953,716,110,629,628,587,358,819,914,729,810,009,439,
753,870,732,985,265,713,135,698,454,129,465,836,371,109,410,503,726,491,886,
932,367,329,635,787,702,580,976,927,528,003,942,237,039,323,651,391,520,255,
403,305,721,809,841,153,401,300,593,359,741,283,151,149,798,356,349,212,166,
173,337,911,868,545,796,260,926,179,512,065,844,298,803,071,464,002,079,082,
665,782,033,436,879,966,521,200,876,213,612,956,694,477,838,281,764,533,526,
267,202,143,699,574,186,918,213,350,444,167,880,120,049,096,419,890,643,205,
273,656,480,435,945,079,167,111,593,765,733,016,320,474,623,298,380,014,423,
547,969,417,961,332,665,347,374,573,239,073,807,020,228,304,136,338,675,784,
439,984,797,626,843,241,425,762,102,069,848,913,376,175,144,695,125,316,805,
114,599,121,232,662,105,037,113,122,520,956,648,719,417,666,796,152,244,260,
153,947,802,354,965,518,436,491,172,348,557,776,182,156,356,735,594,112,074,
058,536,500,357,806,424,914,942,533,095,384,193,559,183,950,096,777,497,270,
151,367,363,736,578,473,818,011,545,726,493,936,342,177,075,337,874,248,024,
676,769,665,240,235,011,991,998,753,605,797,381,259,934,374,161,063,974,113,
990,176,469,765,417,907,395,663,001,508,961,481,878,376,980,598,708,454,924,
457,142,269,871,068,527,954,405,276,790,402,527,648,426,447,082,027,851,841,
912,418,922,934,749,115,005,687,104,175,900,865,071,019,799,875,646,304,656,
888,270,405,443,243,760,141,167,945,282,045,941,118,427,793,775,056,554,225,
901,004,544,863,310,111,068,414,929,066,836,424,934,533,486,567,998,719,922,
314,010,445,060,058,729,147,125,431,621,756,288,470,790,889,338,950,054,018,
031,341,159,355,237,913,095,117,444,063,789,181,039,271,887,165,411,450,564,
981,532,924,207,791,346,793,279,526,025,924,941,662,284,086,451,090,090,287,
556,518,663,017,772,632,232,645,006,170,854,319,805,213,964,385,874,215,886,
767,654,773,548,381,963,204,008,325,348,620,369,102,490,096,280,669,369,636,
417,670,674,236,449,820,130,847,473,152,835,666,662,087,184,414,359,117,640,
944,710,646,096,034,464,693,119,295,192,045,129,429,180,106,345,389,603,085,
301,910,664,023,917,226,572,172,003,216,509,909,139,729,871,754,674,190,310,
174,689,399,559,788,523,656,245,386,612,573,878,681,581,960,689,109,399,032,
779,508,740,386,575,003,944,881,597,451,869,532,457,291,023,872,400,834,720,
724,961,497,162,668,880,681,625,365,869,050,494,902,435,397,643,631,056,188,
201,102,898,431,866,638,455,058,726,258,752,752,631,932,008,884,403,688,812,
212,351,659,718,461,642,179,318,191,620,281,700,763,621,651,742,643,235,574,
598,734,492,235,433,095,031,695,447,670,795,682,762,411,963,474,889,515,429,
121,040,389,394,087,112,439,139,086,489,582,556,179,286,835,870,420,564,843,
554,823,700,149,313,785,843,565,774,281,665,601,400,604,359,626,964,114,716,
029,856,963,901,249,008,118,282,329,703,926,056,422,780,097,998,255,259,955,
711,537,351,520,133,825,674,015,470,386,387,942,903,276,699,507,173,190,103,
529,463,606,068,566,081,037,920,161,819,116,410,564,915,555,837,933,745,870,
373,998,296,513,205,462,465,274,961,648,598,345,751,407,636,172,693,461,977,
350,965,310,886,430,290,769,217,060,233,403,241,817,872,924,635,660,588,546,
594,660,337,337,282,060,827,773,368,136,318,453,758,508,164,890,607,547,414,
168,144,151,754,033,374,301,691,105,300,502,054,750,761,802,523,447,783,975,
346,239,867,700,993,876,699,237,923,841,643,295,285,836,560,248,533,075,064,
467,115,679,291,757,457,115,711,914,779,103,425,949,120,811,875,255,570,438,
401,320,378,371,222,688,109,910,146,523,212,089,514,427,233,894,819,246,421,
224,507,947,676,909,314,010,322,380,604,689,722,839,265,229,394,094,601,626,
760,627,382,860,544,048,298,247,063,449,988,005,750,788,210,542,932,014,313,
443,689,023,744,841,308,019,066,341,917,674,212,007,132,692,370,404,365,635,
940,401,910,344,024,144,511,329,840,002,036,711,499,104,604,458,572,591,118,
116,176,075,846,351,095,180,380,274,747,341,655,526,476,470,321,175,157,965,
250,513,026,222,568,252,027,455,442,972,382,643,217,716,016,623,544,303,833,
907,241,401,274,624,143,939,576,162,177,198,919,525,397,522,938,450,629,493,
217,919,916,552,775,422,715,752,778,481,662,224,065,907,915,481,959,502,743,
725,993,866,624,905,767,775,299,317,957,619,616,407,193,208,082,805,589,817,
485,341,604,743,906,375,416,741,368,573,038,763,518,807,625,976,575,263,611,
379,460,217,404,507,975,529,699,165,516,710,989,097,412,175,874,874,075,238,
993,554,986,405,946,891,677,331,589,790,533,665,556,253,706,668,903,955,208,
977,637,350,601,400,601,858,763,900,148,615,555,578,007,139,880,530,414,636,
500,485,862,175,876,309,755,845,959,840,456,200,855,078,391,928,278,483,232,
717,661,645,642,761,532,869,867,945,021,589,500,341,902,502,572,679,036,148,
225,887,746,946,959,113,989,518,259,963,078,964,450,173,142,641,653,680,378,
353,513,511,042,738,566,597,706,274,168,654,957,738,262,144,304,346,568,312,
167,942,505,715,052,718,388,450,208,382,185,036,402,291,756,646,199,284,562,
856,644,178,644,809,610,800,352,334,070,836,960,072,732,529,977,239,300,008,
724,066,093,824,055,376,249,098,785,134,282,799,096,225,050,291,658,844,191,
269,032,217,713,239,715,161,087,087,578,244,739,848,775,905,583,491,817,585,
866,386,280,932,491,517,658,604,513,235,480,746,912,073,119,488,655,943,992,
223,014,761,430,220,940,404,458,987,728,262,571,757,242,713,454,835,746,246,
715,980,198,800,850,160,540,747,921,513,356,099,856,604,471,565,053,727,512,
413,744,422,693,077,343,076,171,165,208,051,233,700,957,882,965,577,165,338,
802,426,398,088,040,697,347,188,046,017,293,346,081,318,878,358,115,024,628,
073,702,260,073,272,143,769,676,656,516,848,711,443,118,501,001,101,664,901,
278,803,836,453,955,487,326,840,058,340,481,664,354,720,467,013,892,783,124,
927,205,674,996,616,297,193,384,954,688,193,609,000,047,756,433,337,019,963,
956,312,942,159,693,718,714,139,182,050,351,998,940,431,554,830,433,238,088,
170,322,774,521,621,454,309,431,902,863,660,956,428,090,030,066,363,600,273,
769,513,072,369,243,454,818,601,066,992,947,783,127,032,390,781,875,801,546,
543,669,665,655,658,884,093,361,990,820,760,176,802,592,859,825,949,548,350,
582,933,105,754,076,820,682,971,681,577,613,249,456,419,213,525,361,069,025,
872,337,292,815,990,934,434,695,244,373,707,731,062,827,718,818,261,254,663,
302,565,867,550,785,811,076,080,108,271,657,635,115,748,886,882,325,096,694,
735,250,484,225,693,138,100,119,496,993,625,626,320,857,789,487,817,832,847,
363,396,073,491,209,938,902,217,743,613,560,851,778,658,961,937,037,599,455,
498,672,967,410,573,088,702,076,909,318,536,957,377,255,003,189,877,692,891,
955,763,773,259,004,859,989,140,040,363,806,960,619,951,311,519,411,829,992,
361,116,002,110,084,687,963,038,416,520,773,133,821,681,623,394,510,439,188,
710,917,787,445,953,926,591,474,458,458,862,335,861,720,161,680,245,811,660,
852,801,454,485,185,785,019,758,890,035,435,886,829,538,100,182,090,726,638,
385,883,951,128,588,227,127,546,452,951,026,770,523,504,810,987,921,004,091,
812,759,989,334,109,590,481,840,549,949,578,738,605,179,794,978,538,835,800,
426,956,701,324,397,420,727,910,996,129,581,495,146,291,871,657,782,915,024,
684,082,448,951,816,097,325,697,074,692,218,462,063,402,478,233,013,107,319,
740,591,049,751,031,182,625,758,625,045,744,435,327,576,756,038,344,175,270,
768,663,675,501,319,397,295,106,007,821,726,877,413,732,002,166,679,784,133,
792,464,210,897,329,382,153,397,168,630,664,956,201,885,529,321,595,245,195,
229,798,391,407,978,173,928,435,904,440,436,879,328,793,831,649,869,229,445,
959,231,248,279,314,036,553,243,314,964,840,767,044,136,069,127,470,813,616,
155,010,678,200,637,994,591,147,225,081,953,833,063,939,180,673,438,260,414,
061,482,249,911,009,809,658,879,077,769,661,982,823,218,957,579,707,464,939,
703,019,400,774,204,538,211,573,052,204,799,614,005,055,488,114,995,922,009,
118,079,275,602,258,302,648,153,831,545,761,891,239,690,412,472,525,171,328,
798,453,532,635,588,308,558,795,403,684,610,824,278,881,889,905,065,018,282,
427,574,612,583,981,508,253,887,355,110,056,978,319,520,903,317,614,705,191,
681,263,638,386,758,014,038,821,974,948,886,517,901,238,359,742,231,063,431,
114,223,726,776,069,911,983,426,897,655,403,305,877,915,689,985,117,173,981,
640,527,260,083,713,606,350,991,803,639,950,077,164,991,601,862,713,786,264,
141,236,113,767,044,838,760,341,372,794,873,017,584,958,923,729,116,103,645,
629,744,145,358,749,122,255,659,602,606,473,904,139,810,906,096,401,641,157,
722,743,232,571,065,435,521,515,226,640,810,210,556,155,636,434,122,425,373,
833,949,747,804,783,338,471,461,191,923,389,399,235,677,279,827,100,436,455,
529,978,932,988,541,250,160,939,972,872,093,688,067,781,370,413,104,651,896,
790,461,454,019,357,269,838,877,357,970,865,575,082,237,788,614,626,960,236,
668,372,470,263,647,326,651,715,007,630,075,258,912,604,533,252,213,505,637,
975,247,323,006,754,275,678,387,934,343,583,333,897,289,577,952,352,503,751,
812,476,115,636,959,313,079,841,478,076,699,730,026,428,863,969,394,857,407,
348,094,155,257,230,102,638,063,034,275,716,619,421,469,179,129,223,701,255,
043,596,961,395,035,495,442,730,938,929,204,241,051,582,945,008,588,411,451,
146,131,568,228,552,584,145,452,409,820,573,548,755,787,255,231,766,010,310,
869,966,524,778,293,621,569,435,888,003,888,587,554,881,791,333,163,409,398,
084,234,833,658,360,709,336,014,538,075,047,699,970,413,204,372,318,867,503,
724,643,240,230,154,831,035,786,946,818,185,533,918,736,606,894,249,633,647,
618,026,902,714,993,353,252,163,117,709,787,089,027,126,579,103,308,465,185,
934,212,318,943,496,636,986,657,761,942,300,524,917,909,489,097,675,178,782,
134,442,187,509,377,711,037,377,393,999,792,367,004,730,437,947,149,806,509,
186,981,512,614,719,265,501,397,354,154,746,155,092,483,164,454,861,402,867,
135,414,758,503,967,710,878,827,808,461,980,492,489,790,193,127,002,392,110,
175,860,965,836,312,469,138,257,507,452,717,236,994,437,790,717,637,143,098,
040,070,510,972,960,009,860,857,738,721,933,702,252,393,544,169,311,945,619,
375,493,129,184,411,133,630,873,256,067,394,975,739,976,694,201,833,979,481,
091,706,815,148,470,177,871,538,281,999,188,124,769,756,540,658,156,862,908,
499,345,528,369,052,601,410,436,748,542,457,288,351,264,808,280,876,757,117,
768,464,007,037,856,637,273,047,195,604,994,287,079,741,776,004,771,240,857,
637,536,889,031,958,448,549,089,841,875,884,976,134,670,377,112,836,934,502,
582,620,983,502,677,582,407,821,635,775,604,729,744,527,970,292,687,833,731,
616,924,812,732,552,424,179,616,765,783,422,684,178,124,902,364,622,525,882,
540,239,269,401,678,916,646,272,181,198,798,572,148,742,351,514,660,124,012,
944,312,650,632,016,239,807,968,289,328,068,384,285,436,340,865,902,038,374,
651,943,567,476,949,441,308,178,018,208,005,457,174,877,072,734,274,341,085,
067,584,281,460,675,580,652,129,739,793,527,958,690,062,031,134,142,975,854,
281,685,177,910,899,645,845,432,510,123,079,904,579,258,775,056,347,763,861,
546,167,484,315,491,340,447,098,962,052,838,904,570,153,262,936,461,010,552,
515,427,690,168,537,960,233,955,373,693,015,665,856,589,534,926,119,923,150,
523,554,964,904,167,412,171,423,344,465,754,409,005,355,980,094,115,569,267,
003,219,243,738,522,042,074,793,416,460,440,578,966,034,103,422,888,628,156,
682,027,756,413,426,695,608,189,375,595,239,575,888,244,978,566,894,531,084,
813,697,225,217,144,128,852,159,158,612,136,343,640,095,378,487,878,484,213,
966,336,224,997,268,813,067,139,307,492,788,864,105,089,911,375,217,562,613,
249,339,877,040,868,829,986,942,226,320,941,346,596,066,083,848,320,560,209,
755,717,994,435,275,843,323,162,760,466,269,776,890,952,201,346,074,945,854,
993,825,962,327,405,861,437,356,449,197,394,887,589,956,180,892,952,209,630,
945,124,221,306,706,204,764,150,936,494,798,501,909,699,147,283,166,913,024,
171,190,773,479,137,338,570,355,664,764,224,640,737,264,943,658,845,005,384,
969,010,294,863,491,647,658,352,913,352,770,118,607,356,892,686,418,993,669,
302,984,543,265,009,733,036,039,594,925,770,107,411,745,517,866,924,116,785,
208,575,634,624,170,605,258,058,315,317,191,478,539,735,981,458,862,021,453,
462,785,362,229,797,784,421,877,882,904,892,889,377,836,978,524,510,807,751,
818,093,769,789,145,128,894,838,526,469,142,827,675,189,029,308,988,876,945,
965,280,554,806,744,694,518,925,826,486,989,918,425,462,822,147,514,883,816,
492,659,330,359,860,444,393,758,772,616,799,910,497,025,963,175,586,016,209,
903,988,996,016,589,600,277,965,014,206,499,004,904,730,564,277,727,343,621,
811,270,308,093,582,088,789,015,099,570,519,876,057,047,446,811,375,119,597,
862,551,781,756,350,619,670,495,892,362,476,343,444,626,338,376,988,291,908,
952,750,173,711,430,072,014,703,093,128,729,506,443,263,574,152,575,456,593,
843,373,757,605,333,785,830,939,519,044,125,574,592,392,416,630,843,854,556,
745,009,804,306,315,892,351,130,930,449,171,519,524,592,333,178,728,017,738,
250,345,876,292,833,226,702,097,000,714,679,866,206,613,674,886,130,317,588,
967,000,806,815,176,742,946,371,560,852,220,647,977,244,978,483,480,707,994,
993,331,738,528,653,314,356,249,366,133,979,045,846,372,059,214,017,945,179,
162,801,190,268,686,466,410,510,145,540,063,000,400,159,249,406,409,704,540,
092,835,055,513,044,822,139,008,203,937,959,248,288,337,400,334,543,410,986,
810,195,937,823,720,953,905,241,646,440,279,850,901,296,535,763,926,709,141,
986,954,725,718,305,977,299,633,202,463,291,740,486,906,724,938,961,553,186,
092,746,622,242,152,586,143,106,045,031,216,266,661,625,782,812,381,336,441,
289,912,900,877,894,462,026,881,352,363,530,361,778,983,946,870,306,581,284,
793,457,940,783,186,443,869,711,509,150,245,690,719,299,636,214,619,098,118,
630,032,250,310,572,092,635,173,249,231,383,875,428,986,598,917,029,999,423,
643,112,477,157,700,213,933,787,443,863,583,354,567,127,139,168,272,294,405,
691,832,568,328,561,607,806,119,187,843,593,525,475,956,218,928,528,872,698,
456,308,992,697,121,152,271,820,945,538,212,805,422,304,460,159,254,600,300,
084,414,580,343,972,461,037,286,065,678,155,306,725,633,278,078,387,708,355,
388,013,963,296,843,716,445,599,551,822,912,239,721,754,925,508,982,528,843,
395,129,445,227,843,155,546,789,544,355,117,219,458,463,341,461,009,415,268,
135,744,360,984,813,372,778,725,925,051,871,926,446,282,546,223,435,580,596,
696,885,644,467,300,304,796,971,573,137,744,854,989,774,908,853,134,227,282,
712,570,175,526,159,574,267,115,471,604,126,785,546,198,392,741,378,920,949,
435,178,954,204,509,948,168,425,768,407,749,349,270,905,905,528,686,792,917,
511,916,544,291,685,126,391,468,222,022,120,050,495,130,651,372,295,790,143,
100,527,317,068,374,160,634,890,425,026,623,188,386,200,250,663,417,244,144,
134,751,791,092,519,929,604,738,903,621,140,578,329,019,363,855,553,939,444,
769,309,989,318,402,488,459,600,239,504,611,682,173,793,198,992,759,946,099,
674,439,354,969,110,205,209,010,750,592,107,002,203,460,058,358,838,327,022,
939,385,723,884,508,412,025,985,653,722,644,725,059,826,296,888,467,003,921,
511,091,567,436,733,210,659,346,530,288,240,481,798,103,786,653,116,988,200,
141,001,800,573,682,198,310,955,057,899,199,279,219,591,260,427,891,706,975,
202,819,855,986,618,641,579,208,605,672,249,273,908,778,190,396,175,617,430,
146,207,398,580,444,775,489,981,502,386,624,771,528,470,801,382,629,604,379,
300,170,523,052,272,069,606,380,319,524,473,934,280,993,459,128,881,660,327,
668,879,019,393,259,665,919,085,635,763,408,377,913,258,465,838,310,383,102,
670,869,578,459,913,446,228,923,913,409,795,094,395,917,137,328,779,679,320,
181,668,194,659,832,714,046,360,491,147,830,384,877,322,024,979,993,912,879,
022,537,689,645,976,163,344,759,434,541,512,060,211,068,939,641,389,733,241,
356,755,598,225,844,070,769,539,739,467,662,461,849,367,973,320,712,542,436,
765,555,123,321,712,464,334,377,833,611,269,281,741,744,152,055,807,017,057,
672,971,263,486,023,383,001,103,254,301,329,875,971,241,617,041,193,480,614,
315,828,611,558,873,055,546,008,836,770,742,335,712,157,147,401,778,813,741,
433,295,346,632,678,100,001,081,616,630,756,278,876,747,124,472,265,747,685,
467,704,625,374,691,774,988,618,314,675,478,230,874,224,931,661,045,062,062,
840,961,784,386,835,720,289,799,485,530,004,081,524,407,024,739,053,682,937,
271,322,312,873,472,628,721,005,789,571,708,877,897,729,336,930,175,575,988,
764,630,772,292,968,614,501,105,549,912,704,015,778,811,210,908,769,498,047,
191,321,269,367,850,898,768,486,263,972,418,703,166,169,028,708,913,695,481,
745,967,043,016,988,239,435,962,332,243,319,590,882,651,696,431,345,691,308,
625,485,399,340,334,819,023,543,142,463,900,204,025,565,362,212,528,468,662,
027,210,664,538,655,427,703,481,794,429,858,851,037,134,519,802,417,890,621,
441,443,239,680,641,378,118,455,467,097,435,635,937,538,826,862,012,707,327,
605,723,981,198,367,915,961,614,217,938,353,268,704,892,866,918,728,981,612,
341,637,231,776,480,316,980,039,328,926,795,292,031,811,065,831,922,877,165,
010,400,771,526,861,243,107,161,299,936,781,661,224,025,430,456,114,177,276,
261,952,444,442,258,144,836,828,181,948,910,963,853,733,388,698,554,809,482,
155,366,545,063,277,473,312,714,065,488,066,858,047,463,207,963,095,827,830,
801,070,588,359,902,783,369,693,049,375,341,518,703,851,666,918,201,722,515,
788,963,573,243,576,452,435,923,550,495,031,349,654,230,789,682,149,952,433,
475,640,718,932,472,177,022,030,076,764,589,472,360,705,176,181,662,018,835,
507,584,060,992,232,607,789,108,815,471,398,974,963,248,186,827,287,065,372,
660,623,087,409,448,309,514,787,387,026,992,299,744,511,966,779,617,723,278,
207,149,579,616,957,598,132,376,985,969,090,380,566,016,916,297,668,895,944,
482,195,567,743,403,881,112,209,681,097,167,846,709,868,101,086,908,335,237,
039,724,886,201,348,887,148,136,213,618,789,308,238,865,897,152,939,123,564,
223,651,366,410,217,556,751,310,334,022,964,110,348,224,428,510,588,585,772,
020,795,438,509,971,540,758,980,799,594,345,693,086,111,077,953,193,639,268,
494,762,129,643,100,202,877,141,831,739,388,620,800,014,168,599,025,267,212,
919,590,308,047,731,029,835,155,369,820,998,268,731,242,431,580,729,334,047,
817,242,969,256,845,056,614,016,014,595,991,093,655,970,779,964,757,854,835,
324,600,533,829,734,848,754,653,460,497,676,407,672,932,953,789,560,132,222,
722,675,870,605,277,798,301,581,297,258,126,816,344,729,118,312,131,743,426,
983,139,231,746,151,381,434,121,669,143,164,437,875,437,794,109,362,885,698,
555,978,042,712,855,935,762,507,332,881,050,133,414,696,738,505,676,803,243,
645,056,256,387,647,987,383,694,603,641,759,716,332,846,396,780,636,578,994,
925,138,891,649,733,983,056,280,071,438,297,895,092,909,754,218,505,767,989,
114,945,496,056,839,468,466,568,864,535,468,716,558,550,371,147,716,902,001,
001,232,165,211,588,190,569,770,885,438,881,663,549,487,018,842,092,099,086,
943,922,785,945,003,574,367,462,043,037,432,073,513,613,836,705,088,277,786,
603,732,942,525,727,251,982,001,712,719,502,208,628,400,914,371,229,480,614,
537,255,216,871,831,276,275,467,011,860,680,410,219,893,662,037,186,143,225,
421,265,086,633,294,968,116,347,594,379,201,312,754,615,356,343,572,994,276,
843,362,018,213,241,499,357,637,087,266,141,255,216,330,206,054,859,209,805,
488,174,494,604,203,039,536,866,987,492,108,137,160,144,579,467,272,739,456,
783,121,531,458,391,193,922,626,955,756,284,648,698,652,295,173,886,376,225,
589,799,463,223,834,303,235,734,036,820,888,928,231,618,484,930,365,519,590,
745,629,096,434,757,643,918,120,142,112,478,044,576,404,704,144,143,653,980,
458,082,243,335,576,943,190,309,872,170,112,631,496,554,137,171,754,282,348,
404,946,093,860,148,974,596,532,787,605,292,746,245,675,873,467,873,704,776,
780,368,760,331,563,505,894,732,301,420,345,776,432,378,444,953,759,742,408,
207,038,995,666,056,885,249,662,404,790,607,143,669,025,067,450,863,423,201,
284,673,337,853,747,974,233,651,947,215,412,735,604,224,415,752,765,696,589,
072,005,805,279,152,802,758,239,841,586,192,883,997,522,564,667,091,710,495,
709,713,881,338,220,430,629,783,322,889,508,230,314,889,846,629,505,495,797,
459,030,029,132,950,701,301,189,319,717,233,678,608,536,190,533,975,860,218,
318,120,090,612,727,821,164,095,417,285,068,862,410,416,386,290,035,141,160,
967,687,867,360,375,120,194,033,630,557,163,270,935,213,910,514,057,045,611,
447,151,607,037,371,487,169,182,146,238,924,864,170,882,693,842,066,891,553,
546,489,815,712,124,307,540,788,526,856,115,944,437,749,553,793,534,436,136,
826,106,691,415,086,001,158,076,266,101,565,525,539,179,132,454,968,965,180,
014,956,690,014,687,271,647,343,426,788,451,236,656,561,072,558,175,153,514,
558,236,461,937,941,256,565,877,194,599,232,529,129,318,509,525,567,423,194,
510,515,528,033,652,794,021,573,510,107,031,101,049,667,074,506,400,728,084,
570,166,517,090,445,383,552,773,999,284,466,787,197,200,214,808,764,622,647,
394,646,562,934,270,368,691,799,521,865,484,355,892,539,042,310,715,078,726,
658,931,568,063,398,937,458,163,294,003,964,775,449,431,366,242,978,495,019,
570,481,844,232,298,763,704,923,665,140,152,483,398,184,606,470,233,171,745,
938,171,236,195,773,979,831,420,055,997,551,566,718,259,636,442,437,853,190,
192,937,786,960,962,121,399,792,729,167,328,919,911,458,529,584,841,956,504,
867,174,805,687,646,004,939,359,503,543,416,778,125,599,691,916,601,289,745,
322,094,824,228,765,564,205,610,547,892,499,710,769,250,804,967,706,085,441,
397,095,344,870,445,219,129,828,325,861,073,319,234,335,011,325,877,930,559,
877,886,663,584,403,963,183,266,739,245,110,979,716,718,667,796,613,203,186,
666,326,190,163,381,705,136,325,413,762,844,314,083,186,145,203,888,461,504,
298,522,475,832,091,618,766,407,735,535,867,717,757,384,907,605,151,699,693,
680,310,933,348,748,317,616,874,083,067,509,016,269,092,015,497,586,773,629,
760,802,257,438,100,050,275,818,256,897,252,037,547,201,887,570,438,615,388,
981,433,424,629,534,798,053,514,668,919,677,400,219,559,068,895,334,848,452,
926,784,918,110,880,638,690,269,319,410,047,967,935,748,545,555,098,159,502,
027,130,907,809,347,387,066,476,771,998,771,684,793,680,006,489,222,410,838,
244,179,175,334,012,375,898,419,841,025,634,439,207,506,759,547,703,958,090,
497,212,421,306,199,718,115,070,883,477,177,388,344,130,046,944,517,663,257,
587,228,119,798,412,128,794,873,156,272,300,989,607,248,802,151,099,373,143,
786,262,566,011,599,353,291,390,048,508,405,240,292,005,188,309,238,267,762,
676,230,097,458,808,450,461,779,330,278,898,817,791,488,744,692,972,423,711,
155,164,185,304,671,801,465,027,415,365,306,133,453,985,062,371,673,329,374,
025,677,161,560,887,963,284,470,132,371,483,253,542,243,698,456,655,202,691,
010,389,988,553,006,238,297,622,388,420,570,227,103,723,271,962,843,676,728,
745,286,646,915,046,240,775,730,041,729,933,446,668,207,869,700,275,551,855,
111,414,150,482,471,734,195,097,214,182,019,674,546,985,480,939,339,677,265,
114,753,206,231,314,224,911,577,751,658,919,246,202,670,502,746,535,364,081,
183,463,164,567,996,778,695,087,393,054,339,224,398,198,575,341,452,621,681,
952,334,675,182,023,061,659,046,760,813,312,596,934,061,770,811,437,879,158,
020,137,044,440,634,871,056,147,936,648,839,044,927,248,514,787,173,295,646,
496,730,896,501,745,067,436,692,290,827,970,283,480,492,721,247,457,381,068,
115,351,325,646,382,803,505,570,768,788,747,034,304,018,194,048,607,934,706,
988,391,573,370,986,558,130,787,125,307,742,019,595,395,521,998,790,836,511,
161,103,140,050,513,556,597,316,786,722,285,508,122,070,468,914,059,032,922,
287,127,891,864,563,357,976,833,563,072,471,036,840,197,609,103,729,634,706,
315,804,453,286,940,458,490,577,013,574,272,509,138,776,388,382,677,973,814,
716,137,138,633,741,458,514,195,294,564,024,614,735,096,394,242,608,566,520,
554,558,060,217,934,581,997,279,119,023,614,278,088,007,957,920,954,571,337,
413,756,839,966,715,349,385,228,252,035,781,071,115,629,887,585,864,697,128,
201,244,056,909,344,181,878,241,564,955,860,631,464,066,644,890,089,198,502,
972,337,434,106,018,675,662,518,055,062,212,722,226,010,024,582,970,050,425,
276,994,876,902,036,264,383,792,864,234,971,959,486,635,970,917,734,737,695,
646,165,988,037,847,245,902,222,910,326,315,704,876,280,523,269,401,362,784,
150,984,898,057,305,841,611,388,087,709,281,526,042,726,363,512,306,393,629,
032,107,218,452,483,416,497,303,898,203,374,341,452,935,213,400,393,305,930,
475,714,256,265,030,418,957,909,703,309,106,840,738,883,661,884,325,142,671,
546,666,021,525,558,443,255,199,902,171,506,375,419,077,703,141,464,947,791,
229,795,522,825,391,269,533,231,689,689,512,010,953,924,595,483,964,618,654,
462,913,209,309,460,187,220,946,684,877,928,999,140,065,906,254,843,120,211,
536,491,198,748,510,229,649,082,416,899,457,698,662,848,445,519,325,804,421,
658,838,546,492,007,384,177,221,122,360,444,045,527,632,842,620,363,842,974,
699,227,275,518,005,674,069,062,550,282,636,283,427,027,051,714,173,890,070,
501,211,666,995,675,973,159,331,344,287,038,065,551,717,071,077,701,826,679,
268,852,773,674,008,359,391,651,243,596,885,332,426,134,448,500,547,925,680,
543,869,235,407,017,890,535,613,533,626,462,247,941,045,565,894,854,161,058,
009,664,726,338,919,370,488,941,562,019,954,735,354,434,756,499,379,742,469,
078,732,302,610,534,521,918,962,171,378,934,813,461,002,622,961,640,343,137,
602,502,028,218,833,967,297,755,317,283,350,128,558,722,008,914,503,387,056,
000,560,714,798,530,521,017,479,637,745,847,278,436,168,538,146,081,888,856,
852,849,058,815,063,853,147,290,714,832,335,420,760,926,966,720,046,420,014,
418,092,980,107,151,567,076,421,125,581,244,607,179,911,152,587,152,506,006,
363,503,960,385,336,331,359,509,455,557,789,272,361,933,350,155,488,441,508,
551,699,127,586,905,480,144,639,435,063,474,314,485,271,385,049,519,432,398,
116,001,743,827,844,869,031,344,673,029,549,361,528,661,932,080,525,924,509,
581,910,341,401,197,873,957,478,628,328,851,687,376,898,074,494,586,319,317,
931,404,537,785,351,734,946,504,972,089,452,051,706,263,049,433,725,018,273,
204,547,485,954,415,396,030,713,124,200,141,019,451,658,767,230,735,154,910,
570,023,206,518,368,760,524,290,993,043,049,202,132,064,217,525,763,581,211,
486,073,821,358,621,060,256,514,281,920,208,210,682,081,923,234,203,535,493,
440,504,689,313,020,787,276,113,295,263,599,361,567,883,860,972,931,638,696,
060,154,238,483,714,333,914,193,923,118,802,531,509,295,557,190,948,900,807,
528,124,376,191,648,692,048,322,364,087,784,826,138,306,849,432,958,613,362,
092,911,813,867,592,067,325,462,722,379,894,704,521,934,438,330,436,265,635,
223,076,292,915,773,803,106,887,049,188,174,231,030,273,898,425,403,274,547,
816,286,135,078,861,370,742,841,727,708,543,325,023,171,937,331,829,935,947,
626,405,614,040,984,940,228,068,902,423,220,766,381,420,548,096,178,790,929,
791,060,445,461,181,927,859,844,603,331,542,565,913,721,386,969,537,176,956,
636,128,858,816,733,896,535,104,686,022,078,115,630,368,977,619,015,444,644,
588,726,532,096,633,967,789,061,854,328,352,899,630,656,095,118,594,124,444,
722,695,381,302,318,813,299,312,046,158,438,104,560,623,467,169,597,265,118,
855,233,477,796,923,832,682,466,954,904,189,838,273,242,559,548,691,070,222,
668,912,148,906,943,128,894,300,932,030,158,879,577,788,159,656,207,249,497,
176,200,838,058,381,230,694,430,064,171,920,295,599,525,058,207,734,224,309,
125,800,088,597,000,253,662,139,303,630,742,630,637,179,315,149,606,058,331,
768,364,200,140,942,406,729,266,404,769,504,282,954,497,869,546,366,773,131,
327,630,622,099,260,314,074,280,089,931,238,091,506,897,151,297,593,842,888,
173,276,282,276,135,568,113,122,016,681,438,114,823,660,755,769,681,048,855,
483,403,473,341,814,276,610,461,275,408,333,622,292,087,556,066,346,598,257,
102,901,446,972,165,860,941,258,802,205,972,093,265,568,647,448,860,482,863,
463,348,504,933,940,931,985,492,348,702,218,997,038,537,575,875,252,929,207,
375,167,216,990,385,340,827,406,726,647,720,491,196,230,038,451,156,558,472,
053,278,907,664,391,500,439,150,936,183,737,970,967,625,806,272,913,100,916,
669,887,825,087,873,187,537,048,022,158,142,014,429,434,436,820,190,948,518,
676,840,616,738,343,853,304,936,805,874,162,685,434,659,681,687,255,429,701,
160,554,392,260,949,440,719,466,955,993,081,963,721,331,278,317,776,546,788,
628,548,400,687,299,152,663,727,124,929,429,370,101,586,238,644,388,123,996,
055,263,273,612,671,019,705,682,803,969,265,897,066,655,490,191,568,065,341,
006,404,892,203,626,185,688,327,439,598,336,244,677,417,272,271,556,051,091,
852,421,234,009,928,292,568,740,279,151,188,723,098,466,533,370,167,285,560,
660,726,699,082,442,547,140,892,314,974,608,510,667,792,606,807,294,428,694,
674,756,663,381,517,009,487,758,685,221,491,873,924,018,840,911,455,400,585,
910,398,567,041,756,080,896,122,053,151,917,861,997,807,234,144,691,795,048,
756,437,478,317,506,133,392,606,981,663,093,412,859,550,848,872,364,875,214,
010,214,396,100,586,671,770,633,602,000,218,576,894,456,036,254,788,191,627,
741,440,390,242,225,959,731,088,496,066,463,119,445,367,392,925,104,649,099,
184,309,900,791,769,408,997,326,470,862,536,887,449,860,653,327,242,726,537,
135,017,127,051,391,022,992,074,473,811,781,622,582,250,796,621,632,087,479,
500,941,558,084,706,844,449,691,157,401,544,529,097,259,230,583,105,377,055,
596,944,800,660,201,558,161,011,458,652,833,773,886,872,554,797,405,363,049,
131,946,488,489,569,090,896,957,907,787,322,954,324,921,023,846,572,724,506,
513,030,750,605,877,418,146,172,778,684,861,290,326,783,501,575,257,272,109,
457,320,176,885,323,057,438,689,074,252,843,627,136,535,265,477,872,496,535,
437,543,591,927,266,493,987,599,099,777,851,198,860,281,815,224,163,885,656,
724,428,477,421,296,037,394,193,769,265,128,207,095,825,986,427,101,042,916,
584,873,249,177,416,049,927,178,689,208,632,757,711,607,533,251,849,821,091,
070,708,398,564,970,010,553,397,756,281,871,684,919,812,746,430,689,873,364,
010,246,848,509,171,518,723,053,641,164,699,647,991,807,586,090,923,930,973,
523,340,290,689,401,610,941,373,170,177,198,713,337,157,657,423,060,607,261,
154,528,147,058,755,468,149,640,003,852,412,718,986,816,255,195,195,273,706,
772,930,108,670,227,431,077,732,779,030,782,971,991,527,504,301,145,910,018,
194,922,525,927,785,378,783,695,949,700,697,119,352,923,657,647,691,153,581,
600,939,762,815,318,888,837,632,685,643,458,572,416,857,036,680,729,989,313,
138,512,233,963,009,946,599,336,251,568,107,501,533,691,307,006,712,066,012,
225,801,423,605,936,882,178,217,870,472,360,049,559,096,192,336,278,524,780,
533,838,639,673,550,762,544,338,259,679,413,392,688,009,604,507,397,460,936,
229,161,808,024,256,584,486,298,474,081,080,892,675,611,945,201,622,806,582,
451,011,575,258,015,449,835,199,887,489,471,130,490,435,113,347,415,459,925,
716,336,002,539,378,465,843,206,271,099,391,342,730,080,934,656,518,626,167,
614,193,811,572,435,317,809,198,739,114,850,100,003,959,556,490,477,891,439,
885,904,703,119,308,150,047,578,621,575,729,486,438,433,424,454,032,421,781,
840,466,656,336,307,490,561,203,260,440,954,967,156,085,739,736,827,840,522,
070,819,387,278,275,919,500,455,337,362,478,528,707,424,355,826,720,823,168,
175,411,867,796,261,693,985,100,439,386,254,842,655,034,665,428,307,593,425,
372,756,758,777,124,372,136,352,059,859,069,483,619,577,672,531,905,999,474,
392,141,237,291,020,059,042,474,176,586,556,004,596,707,601,346,347,876,331,
969,687,904,856,638,206,953,654,169,587,612,313,606,105,392,906,814,886,752,
682,382,570,349,723,671,861,547,818,842,192,430,905,008,343,836,118,237,771,
410,373,225,346,120,644,595,925,176,740,432,392,397,078,343,605,735,707,620,
628,073,389,730,079,683,646,456,467,506,275,010,551,838,925,618,878,850,202,
804,872,540,509,871,129,935,813,084,745,202,005,883,116,038,388,542,395,018,
555,804,207,639,907,051,987,640,728,726,577,094,382,094,989,787,157,786,609,
479,433,441,248,755,810,847,626,035,871,767,689,351,263,699,934,432,817,068,
180,781,792,890,398,594,658,969,962,368,984,920,158,875,427,525,454,532,247,
725,816,331,309,848,363,676,128,830,385,891,618,626,045,202,770,600,293,324,
439,091,834,330,164,985,905,774,104,154,948,325,740,553,514,344,322,697,687,
577,223,709,512,704,234,942,829,686,712,596,396,776,853,427,092,273,778,758,
910,496,866,372,831,268,859,225,951,764,160,427,034,846,118,664,452,282,883,
688,006,718,067,029,642,001,386,077,450,476,299,946,417,742,046,612,930,830,
197,887,975,696,622,929,055,293,187,996,393,541,700,616,907,735,103,941,446,
730,479,153,630,116,073,119,887,273,284,941,046,098,313,375,286,087,848,309,
894,586,569,304,020,795,710,829,542,276,401,009,177,822,369,321,060,538,589,
579,066,358,592,418,014,910,778,536,105,850,527,931,289,380,602,860,943,992,
529,904,764,269,808,935,328,793,733,118,021,103,227,735,431,159,301,706,414,
031,502,865,263,718,775,554,668,098,516,642,373,935,179,181,172,400,316,828,
272,135,016,842,970,804,658,648,139,184,303,791,630,705,965,277,808,164,531,
384,202,628,238,068,253,385,709,569,103,894,137,078,576,002,045,700,249,602,
662,268,864,653,753,831,157,356,494,332,522,262,359,113,808,928,770,881,155,
050,461,747,532,998,555,340,351,847,883,833,191,385,916,312,700,325,708,565,
070,002,453,639,748,842,467,865,288,564,726,966,309,556,266,877,469,805,512,
292,672,447,875,557,609,987,944,927,527,908,890,099,040,046,532,446,688,350,
151,330,863,119,586,987,699,188,702,202,728,166,533,487,658,741,742,965,148,
588,337,160,099,824,508,150,272,151,103,388,568,157,136,712,140,632,335,500,
487,638,311,869,155,468,639,662,424,888,882,012,426,040,923,466,282,059,432,
489,014,712,453,867,593,021,249,128,474,296,509,812,102,458,693,238,763,437,
040,614,449,855,792,940,982,712,536,248,982,554,283,949,565,246,567,018,942,
708,150,033,455,322,663,530,327,387,028,622,238,486,934,655,649,289,022,856,
138,589,868,559,252,947,530,773,030,300,887,511,005,242,546,708,621,654,686,
255,406,950,499,344,558,519,354,393,518,481,765,114,776,295,001,104,718,055,
930,282,123,431,169,035,360,619,246,712,867,543,865,059,226,490,507,284,316,
342,588,451,040,391,984,319,768,462,477,451,847,327,315,776,520,671,105,233,
182,164,830,867,067,873,340,345,196,492,048,630,007,623,723,319,101,503,887,
953,204,689,968,028,594,304,827,160,152,522,399,223,559,760,437,800,906,903,
519,585,693,551,496,736,400,582,523,664,892,477,324,479,504,908,351,056,629,
600,512,228,329,932,105,544,645,940,024,028,489,945,142,522,970,987,648,673,
274,706,631,442,506,185,413,599,504,598,727,796,062,968,562,502,820,886,806,
772,569,914,363,238,480,767,847,075,319,495,557,119,994,620,810,655,992,970,
616,794,869,503,079,172,764,850,733,487,533,899,464,007,791,242,215,570,489,
866,228,064,410,288,730,608,362,862,962,933,704,123,861,931,466,194,888,291,
662,682,115,373,245,099,253,250,900,066,799,973,954,034,020,227,843,960,068,
855,458,804,407,279,969,644,221,968,239,759,081,811,878,455,799,821,754,082,
628,224,435,606,746,915,487,013,055,195,032,079,770,537,678,908,373,456,663,
280,053,329,253,629,988,325,681,815,669,069,277,065,032,296,304,624,050,580,
897,010,605,185,313,281,374,337,864,605,815,744,827,859,774,540,802,230,660,
942,770,030,903,197,229,337,206,374,847,054,036,260,111,337,154,584,086,165,
923,420,176,191,618,832,471,756,788,074,692,935,226,716,445,762,351,573,220,
182,056,308,268,286,192,763,041,034,637,505,329,475,945,207,462,888,503,316,
276,597,962,354,072,156,763,143,693,236,362,085,435,812,034,195,059,498,371,
435,480,786,849,215,496,382,491,975,996,939,772,823,605,013,462,667,196,506,
754,002,547,296,157,633,154,692,008,580,678,801,623,194,891,609,050,950,551,
635,127,683,538,866,209,509,701,216,805,295,925,865,235,299,678,693,488,074,
358,045,787,442,960,457,064,253,735,850,428,499,705,046,823,467,366,896,789,
670,357,673,694,334,493,800,503,672,641,330,922,840,678,200,448,206,109,107,
992,138,308,061,372,479,527,777,319,986,789,997,889,329,209,315,456,385,256,
433,562,317,109,184,156,987,275,034,730,976,505,684,183,325,157,245,596,480,
012,220,024,047,429,337,699,632,282,997,841,433,246,502,477,029,006,488,342,
958,386,715,447,297,160,847,259,428,347,238,513,794,990,351,207,459,471,346,
750,589,378,760,638,027,558,219,131,924,707,311,649,720,132,558,654,557,633,
377,259,319,449,770,113,775,472,693,439,307,072,214,509,775,918,301,334,415,
275,674,616,589,277,012,123,918,745,111,324,153,485,100,584,262,562,252,320,
911,200,703,007,834,733,409,360,666,304,571,351,964,415,658,761,559,320,147,
572,577,975,676,249,836,926,238,755,631,216,669,696,547,373,711,150,925,332,
920,844,649,513,791,546,872,424,213,778,626,000,937,123,988,809,660,275,938,
150,843,863,808,585,168,260,382,294,581,313,180,221,569,749,111,545,854,347,
731,194,631,979,291,558,793,155,693,269,460,215,469,078,130,867,478,616,040,
085,053,221,695,704,090,697,912,088,528,035,353,754,603,470,530,497,863,966,
338,984,665,545,863,446,932,889,032,149,073,466,509,499,376,605,755,339,220,
609,166,177,486,269,219,093,265,767,474,922,247,955,120,694,884,495,968,428,
714,819,165,544,850,235,081,532,986,381,267,588,936,428,114,172,008,508,792,
261,909,674,174,775,998,856,343,321,117,488,148,632,626,665,947,989,244,512,
548,250,925,649,345,919,560,975,092,888,995,236,169,162,798,894,123,361,629,
412,084,017,108,821,012,164,770,477,291,678,368,756,529,599,394,288,697,286,
149,044,548,500,734,079,780,129,163,762,459,199,535,214,175,006,543,341,700,
311,245,402,498,789,728,369,488,894,621,443,950,445,878,008,118,884,771,343,
806,654,182,142,648,259,348,450,324,117,659,209,388,555,231,553,168,430,473,
676,880,024,217,733,391,984,177,824,820,385,866,609,369,037,627,647,255,197,
363,539,295,993,602,219,004,662,456,658,507,309,423,127,514,039,297,604,350,
224,936,153,660,788,214,412,233,094,978,889,043,314,156,821,298,015,539,293,
251,821,434,724,176,014,484,510,977,002,383,699,213,367,437,642,460,497,584,
483,032,659,578,946,298,560,571,563,882,930,124,055,155,369,009,848,013,932,
567,548,753,407,934,790,978,935,161,977,053,023,860,804,220,709,620,422,515,
960,615,444,470,423,343,433,294,530,356,562,274,328,225,072,238,737,094,378,
887,643,101,042,481,968,733,680,938,431,064,129,969,557,018,260,587,140,013,
432,668,301,069,700,629,245,351,211,693,072,079,785,553,398,596,638,940,689,
715,975,536,519,599,531,001,840,551,931,118,972,235,593,557,773,929,147,363,
861,187,319,046,039,507,123,442,460,272,192,087,752,611,176,102,355,734,783,
413,187,824,551,049,821,857,712,696,125,527,367,189,519,655,503,658,880,475,
410,391,761,947,607,854,477,219,841,705,972,763,270,599,181,578,607,295,625,
447,926,837,713,424,748,010,699,787,737,831,466,826,953,448,167,777,999,841,
222,591,128,254,120,764,561,513,718,862,931,187,650,758,881,849,087,628,750,
646,607,290,768,223,787,132,867,627,228,554,496,814,069,223,481,793,671,306,
898,837,461,838,387,319,334,095,038,464,398,763,737,627,110,131,589,032,513,
711,771,966,393,001,609,445,336,141,429,020,817,122,470,098,305,397,216,531,
432,908,486,967,102,194,028,451,591,035,582,400,496,392,040,424,867,729,908,
556,297,984,070,856,852,873,564,120,563,621,251,214,913,658,120,914,051,985,
553,382,514,736,575,748,721,844,769,508,111,537,362,719,617,810,516,570,496,
205,140,111,990,190,002,874,968,000,624,624,361,563,275,616,480,365,799,975,
037,791,943,624,408,554,439,874,443,820,563,765,516,324,892,008,078,123,026,
508,799,232,398,995,768,505,703,507,438,252,934,718,900,167,452,084,856,149,
835,068,548,695,669,232,875,030,196,873,380,223,557,352,333,608,136,713,112,
822,082,223,998,000,818,813,109,327,523,045,092,300,195,614,156,358,098,918,
079,329,972,598,527,828,757,879,496,834,493,597,585,527,189,287,891,516,871,
878,689,662,188,189,795,338,423,398,893,380,177,326,218,022,674,274,821,883,
381,488,624,578,749,465,822,692,775,318,821,243,165,285,362,887,971,714,289,
245,038,955,423,553,628,259,800,770,765,861,658,049,416,028,795,699,934,952,
304,717,082,628,339,500,390,423,177,292,159,604,078,413,740,236,722,318,084,
423,815,722,200,321,802,216,112,231,936,333,811,942,435,422,892,482,119,653,
881,826,403,273,369,728,342,534,032,215,616,126,332,288,948,658,424,997,064,
781,419,052,417,209,211,361,094,687,489,824,752,523,754,904,006,037,945,673,
171,987,516,475,754,975,535,952,255,717,545,982,012,526,565,774,606,510,788,
288,669,236,724,227,440,877,594,098,258,029,131,448,988,873,792,623,781,797,
642,453,001,306,875,558,373,479,630,430,689,048,171,361,485,435,442,652,711,
110,724,803,698,254,961,945,802,211,962,739,667,072,913,117,431,598,606,189,
016,806,460,704,848,564,768,767,764,779,164,029,898,344,312,975,778,902,279,
728,759,568,781,715,792,247,143,040,006,988,361,035,921,825,634,821,783,592,
904,781,046,874,294,851,439,773,265,417,590,642,067,244,744,607,037,212,798,
929,608,747,066,395,765,875,473,627,106,462,387,844,283,219,867,213,967,333,
222,550,060,659,644,385,687,033,657,415,458,972,533,446,842,842,729,308,574,
733,294,791,117,826,861,084,241,654,808,424,416,543,623,257,292,033,374,378,
066,235,921,212,766,696,693,190,159,921,850,239,280,505,545,770,614,841,018,
919,969,659,954,798,000,275,445,604,656,536,864,591,328,060,513,223,869,744,
170,304,557,901,211,339,477,947,894,537,257,489,835,425,141,945,241,215,477,
989,435,066,996,472,383,631,577,855,022,585,955,132,144,617,607,327,533,111,
704,313,594,211,020,589,764,531,070,620,811,166,099,944,751,612,220,221,956,
784,053,059,893,779,496,411,934,396,294,928,035,488,250,371,465,403,680,581,
435,835,249,142,052,096,309,690,827,727,186,270,887,889,012,493,717,836,634,
435,423,028,738,363,435,913,235,793,013,119,814,387,166,051,596,223,502,289,
974,776,663,375,251,249,603,283,811,859,391,260,154,532,591,153,442,016,042,
667,146,808,472,951,016,002,017,721,018,117,888,656,831,832,575,141,482,817,
899,875,970,032,069,104,736,001,852,479,581,550,135,674,984,031,400,818,477,
587,376,163,717,602,703,957,422,089,727,094,715,536,000,892,415,899,328,583,
252,657,391,537,693,950,662,466,238,011,244,330,576,223,715,276,013,147,827,
936,218,339,864,423,575,567,743,985,453,089,246,944,696,745,413,182,692,386,
439,577,688,396,209,210,928,814,242,008,590,529,198,345,221,434,170,471,563,
742,849,553,438,438,214,125,799,971,328,404,013,309,766,133,893,122,162,506,
025,507,773,827,771,048,109,917,930,955,795,424,865,486,922,505,843,763,526,
659,406,395,004,627,126,450,289,367,981,615,634,258,645,553,481,082,670,722,
697,921,422,403,521,411,060,134,959,184,317,573,454,730,126,471,598,711,632,
085,006,632,137,458,843,905,845,687,268,902,565,388,186,335,039,466,444,744,
690,508,995,585,786,456,284,151,771,214,044,645,811,187,648,567,778,270,457,
509,818,047,463,970,085,640,300,359,236,128,158,932,771,881,350,260,750,671,
542,033,681,715,564,828,282,496,809,700,059,242,546,025,916,753,210,747,800,
495,137,263,323,515,954,503,013,413,341,639,793,676,077,304,554,214,640,444,
819,494,286,563,344,222,605,228,451,294,735,112,713,963,807,382,939,492,433,
328,570,063,391,150,924,667,751,407,942,994,658,927,448,172,416,447,504,018,
537,167,501,714,270,349,583,751,637,266,306,828,571,200,802,860,720,768,959,
508,089,599,188,957,326,314,706,357,204,976,150,676,081,893,831,465,994,006,
901,662,193,140,417,947,684,294,561,355,936,400,670,349,122,303,033,913,093,
860,447,112,652,210,276,768,293,359,838,919,978,517,258,716,692,959,487,328,
795,570,326,926,225,387,485,029,984,751,161,833,077,433,242,436,319,858,312,
591,320,586,298,316,921,752,413,282,483,104,484,994,026,664,650,712,382,918,
746,508,291,151,500,127,953,695,149,809,705,772,218,720,693,390,808,600,778,
039,888,620,778,826,305,552,971,024,814,010,925,976,695,868,063,917,075,256,
815,856,215,010,891,118,877,305,945,129,445,229,344,834,505,899,562,189,555,
278,312,477,874,058,679,758,771,745,701,296,771,855,808,545,718,688,935,164,
239,303,976,950,003,153,712,701,233,308,101,859,929,952,473,199,140,968,043,
994,497,123,139,644,910,310,414,320,694,239,740,699,461,368,638,679,626,201,
330,800,297,266,681,655,614,395,491,451,307,489,077,197,326,041,615,966,528,
540,857,523,404,717,681,671,138,019,813,731,394,020,610,816,378,306,848,270,
691,928,457,664,567,821,755,872,008,666,270,599,039,049,248,484,499,273,711,
788,560,579,666,032,369,133,567,259,563,091,491,707,074,916,628,069,432,103,
461,233,023,495,837,222,230,882,627,733,000,496,898,506,476,915,141,070,044,
146,017,052,790,145,752,362,543,948,340,085,863,014,919,449,525,838,546,867,
732,040,115,378,445,465,894,544,675,025,405,716,274,490,015,698,270,649,718,
947,694,289,701,096,808,722,312,616,857,363,750,198,562,009,113,699,701,693,
368,406,356,102,126,197,495,657,371,995,092,144,933,619,439,242,072,353,260,
900,505,866,450,705,027,817,085,828,682,065,406,809,599,357,560,405,776,312,
445,748,526,473,057,021,383,307,829,799,078,454,378,853,630,633,749,177,875,
272,707,413,704,758,869,418,472,441,565,116,592,205,958,989,397,657,154,887,
103,894,461,571,278,263,895,706,547,012,123,663,718,228,803,206,580,712,440,
479,444,170,851,619,210,159,282,696,852,311,046,766,051,458,452,827,909,323,
502,873,095,559,858,792,853,927,723,457,138,878,495,744,005,904,293,948,960,
051,374,841,042,507,849,329,706,440,904,294,553,856,046,254,032,366,575,812,
545,864,870,923,921,077,444,869,919,840,531,515,315,612,086,954,869,359,525,
669,492,942,876,085,535,026,366,972,548,968,290,946,294,716,206,532,223,258,
797,543,582,156,149,075,912,793,784,494,437,299,799,810,423,636,986,786,959,
219,429,769,243,084,698,720,321,830,338,454,702,082,130,358,925,265,977,323,
075,394,533,381,782,255,639,092,323,742,152,224,938,536,383,193,629,211,289,
660,995,843,706,538,535,267,285,112,689,990,677,854,571,189,100,536,321,951,
507,787,618,200,195,136,652,741,432,681,910,194,480,083,404,385,705,008,294,
829,247,799,803,939,185,225,130,000,835,599,485,195,268,046,147,220,976,543,
862,206,382,672,909,729,773,684,108,960,098,600,113,846,263,664,137,736,967,
395,387,966,022,605,470,862,895,508,659,799,071,500,049,380,589,261,586,872,
607,406,456,733,673,634,378,043,349,497,102,922,079,433,931,007,413,618,103,
786,221,411,805,983,550,151,255,482,462,349,174,022,864,185,071,846,055,445,
795,355,796,165,067,015,318,042,499,144,944,656,224,701,114,476,167,516,825,
351,514,701,829,485,597,239,788,276,303,713,564,727,316,383,429,411,125,193,
646,425,967,746,448,541,154,652,000,923,542,209,030,156,110,472,999,495,033,
324,799,888,426,948,552,965,093,323,606,491,436,989,927,514,391,967,670,112,
128,645,426,067,253,997,606,606,648,501,040,257,804,637,073,168,728,719,455,
916,571,474,437,322,874,820,728,238,347,043,269,962,877,147,080,522,878,797,
232,947,190,416,885,861,809,982,567,473,704,821,667,530,664,198,880,164,723,
972,128,297,434,096,897,389,136,335,136,260,356,494,673,992,030,685,753,075,
265,590,681,264,017,327,650,401,304,189,901,654,715,346,080,944,431,605,376,
628,546,685,076,825,425,086,410,637,717,918,686,721,132,646,803,420,242,882,
993,591,535,003,903,470,488,244,197,104,922,891,285,103,530,636,484,174,509,
790,097,522,894,751,882,528,024,569,665,107,767,114,118,400,147,941,667,641,
925,463,792,624,962,118,380,629,751,368,018,660,204,956,202,306,322,207,526,
454,998,987,692,965,051,102,079,722,591,029,830,894,948,311,978,130,002,991,
883,948,562,926,625,474,167,120,719,892,795,199,712,393,643,124,892,549,927,
589,728,728,536,507,315,251,665,574,135,483,367,212,243,229,611,329,412,326,
775,854,582,483,203,531,568,534,288,014,408,895,439,820,753,190,705,040,799,
599,564,249,396,934,344,917,734,767,511,208,500,351,170,790,387,687,328,312,
650,551,878,350,140,108,081,089,576,742,435,694,065,593,132,976,192,936,756,
879,841,498,741,915,019,329,318,254,646,153,718,211,656,790,827,381,772,459,
689,225,377,591,271,475,182,760,913,649,473,306,733,712,983,601,594,403,726,
614,662,104,226,503,547,257,520,114,385,668,526,266,391,476,926,371,514,330,
967,260,772,316,076,740,116,394,882,424,215,160,434,006,828,677,660,999,114,
708,961,127,804,661,002,244,246,154,768,351,335,000,200,484,621,416,986,753,
852,107,893,591,286,970,561,207,247,518,262,936,601,953,472,082,020,839,061,
798,655,472,954,932,912,966,117,684,129,541,970,866,303,231,998,479,763,113,
699,540,829,371,407,973,913,191,366,323,542,206,769,788,906,487,234,669,134,
552,770,714,747,862,867,454,498,267,719,322,109,274,539,579,208,300,306,700,
334,353,064,467,861,465,334,750,889,204,435,924,353,394,453,787,686,498,695,
855,050,868,779,633,305,187,306,034,920,899,342,559,318,077,976,391,269,945,
239,054,256,590,984,395,260,228,740,021,730,646,670,531,966,557,636,797,464,
472,862,181,410,269,849,472,939,648,600,191,004,372,818,341,850,302,836,186,
003,161,995,263,547,231,116,618,691,871,425,836,079,279,790,046,371,012,499,
199,630,099,073,391,267,078,854,509,392,796,218,843,108,292,909,747,220,437,
299,641,862,973,844,114,592,926,674,559,306,326,415,036,168,853,131,971,933,
540,422,053,054,890,323,586,954,141,282,727,733,933,509,079,052,959,533,938,
847,169,710,127,605,694,589,288,166,099,864,970,730,756,577,223,394,351,899,
853,224,528,983,024,474,292,326,716,820,107,001,309,530,345,247,557,425,947,
542,660,505,945,870,189,561,881,578,058,776,452,630,607,683,885,332,797,875,
073,357,385,938,654,414,226,692,525,176,782,669,885,769,860,667,478,235,569,
459,181,965,143,827,080,801,593,898,116,666,412,806,591,355,202,935,995,275,
355,903,184,777,523,126,450,536,841,050,216,793,899,000,465,323,608,941,165,
438,427,313,454,078,979,703,140,129,526,708,958,601,568,384,412,583,946,512,
425,017,153,621,715,631,435,502,969,998,083,132,246,000,875,373,448,915,094,
007,974,989,180,541,679,811,858,760,604,718,726,896,180,371,346,496,462,569,
121,194,000,608,334,610,663,958,705,921,086,801,961,692,168,582,665,670,190,
252,850,969,911,033,592,345,584,501,098,934,392,021,037,793,369,941,483,871,
901,770,227,172,969,106,765,163,862,435,483,409,023,592,399,559,933,670,930,
741,038,708,461,560,444,880,182,624,913,376,164,040,517,201,999,865,887,175,
530,453,163,716,701,205,663,555,455,459,553,179,615,900,919,929,364,446,625,
768,793,399,000,719,721,344,054,169,936,172,802,610,571,473,946,362,209,797,
532,613,540,406,868,373,784,779,695,030,237,294,709,266,433,862,171,872,853,
388,995,352,996,469,710,046,707,553,607,951,150,870,872,864,710,037,937,168,
167,863,164,394,345,941,125,930,007,397,173,292,106,324,676,721,189,636,582,
737,693,075,110,665,157,837,967,787,840,200,365,299,365,695,232,448,383,390,
213,098,364,767,426,819,601,039,503,483,890,619,697,874,182,018,305,076,973,
410,747,411,330,082,311,028,463,274,545,137,377,899,630,989,387,313,193,313,
773,984,364,662,014,179,474,164,546,438,308,478,288,752,903,631,696,828,744,
518,058,997,122,687,433,660,484,124,833,662,282,719,785,603,945,284,642,162,
372,548,823,717,282,248,824,097,232,800,563,871,294,636,857,786,911,915,848,
241,466,681,234,254,913,829,954,726,287,666,660,624,438,280,882,033,952,795,
054,735,649,416,547,805,462,691,575,742,272,208,837,407,008,167,175,846,396,
258,688,698,552,196,316,392,733,731,368,420,082,671,780,553,080,602,487,493,
393,144,950,625,112,039,394,334,495,074,161,107,846,292,203,696,065,563,809,
405,299,176,368,842,489,706,077,257,297,986,127,216,792,316,825,426,457,502,
821,957,544,160,470,220,556,061,406,326,508,710,756,499,109,511,725,623,556,
954,785,316,771,399,993,800,368,042,436,138,666,764,223,535,016,372,397,239,
607,450,277,174,930,254,766,334,045,166,139,154,606,999,299,557,559,011,737,
422,359,717,579,166,955,346,894,289,344,887,735,794,932,524,886,574,512,178,
020,255,895,555,323,595,307,534,396,891,749,695,295,541,986,273,860,124,831,
141,545,535,901,163,809,780,237,062,830,774,467,132,117,721,498,456,839,132,
867,575,370,451,625,849,911,946,119,423,883,891,959,144,274,132,270,480,235,
473,610,613,923,174,196,566,076,944,107,204,624,517,590,523,147,190,019,062,
914,660,378,417,055,959,630,421,056,777,502,499,595,752,090,934,304,979,786,
207,101,938,660,104,904,357,602,384,524,835,106,729,687,643,041,471,131,422,
880,166,247,842,289,555,901,189,043,498,922,654,826,141,447,084,131,085,307,
892,789,033,726,084,807,356,543,750,356,019,770,670,282,673,097,368,693,880,
337,480,531,560,505,767,117,269,384,877,313,333,714,754,136,161,423,711,051,
478,887,606,645,068,484,540,092,297,435,676,586,209,357,335,520,696,415,263,
032,933,331,872,437,004,824,839,326,257,384,438,575,919,495,589,116,634,464,
245,200,506,540,860,159,992,300,039,331,319,177,227,508,482,006,963,854,053,
698,337,471,335,431,595,283,495,273,948,990,860,959,264,524,866,004,058,174,
975,558,409,970,546,938,201,049,369,700,041,240,892,910,706,912,510,101,918,
468,019,328,961,647,175,507,522,524,864,622,148,232,258,181,852,202,913,109,
336,387,387,625,101,235,445,782,229,143,204,888,385,928,823,590,196,254,307,
998,834,623,458,907,980,570,979,248,526,866,901,553,956,107,005,730,669,094,
645,720,185,732,251,115,757,099,489,000,501,888,158,817,559,323,762,316,199,
639,557,417,467,500,903,980,106,933,362,582,118,805,974,077,318,256,611,801,
621,436,600,315,829,592,158,623,534,823,035,835,311,149,735,345,105,389,939,
485,972,271,936,954,890,964,359,065,479,994,322,426,236,675,277,321,900,938,
182,639,280,479,502,881,671,550,561,425,281,236,251,929,683,867,681,328,192,
013,514,489,459,701,291,970,151,297,635,000,526,866,219,131,413,028,840,916,
420,851,978,394,103,673,526,370,931,975,142,559,250,032,340,401,660,052,533,
062,001,492,086,078,736,288,004,672,516,750,410,788,587,736,253,397,377,367,
581,777,164,714,240,842,456,431,643,635,899,145,867,990,054,340,184,521,610,
332,722,067,302,190,202,727,142,950,629,942,787,008,030,718,630,853,953,907,
876,778,126,647,237,687,008,687,925,751,941,816,770,637,228,844,982,810,365,
698,514,809,654,685,563,805,210,046,683,088,738,931,076,873,542,805,320,818,
491,585,728,376,290,538,620,927,640,142,729,639,270,662,851,705,033,459,338,
328,879,478,615,054,375,019,503,869,542,984,479,533,952,162,517,889,207,279,
846,361,189,391,652,542,370,376,260,710,248,176,533,856,095,993,106,979,086,
491,401,180,025,173,449,815,295,861,613,750,441,315,462,266,095,868,998,194,
456,784,156,418,354,023,350,473,471,880,508,280,276,595,448,978,578,963,616,
863,852,401,599,646,393,047,855,204,537,387,331,546,927,150,712,525,699,999,
028,264,183,626,989,236,263,639,830,228,451,960,001,140,456,353,271,548,684,
744,415,957,511,071,954,188,459,802,085,294,487,127,130,984,117,599,875,538,
853,592,457,227,563,982,474,678,830,913,493,429,680,073,229,647,252,242,758,
432,800,230,399,273,270,333,517,001,431,378,704,799,898,930,850,740,750,971,
340,858,294,583,055,996,565,895,215,943,734,960,905,679,143,526,922,034,769,
015,708,946,882,568,067,814,602,242,796,336,183,474,135,990,054,338,016,218,
945,024,458,136,472,501,669,313,950,823,235,371,059,461,562,603,265,324,347,
569,714,900,101,688,269,521,617,435,093,174,364,567,738,238,963,498,869,024,
808,323,891,240,781,764,894,329,687,340,115,505,950,790,208,725,884,077,194,
334,658,535,984,167,097,633,105,504,701,226,132,542,805,101,999,304,314,379,
868,363,279,055,458,033,978,639,939,279,553,070,503,538,122,382,999,155,300,
046,925,406,725,556,007,013,499,292,681,708,351,361,607,807,632,711,074,393,
746,797,757,335,205,636,583,284,904,304,243,255,068,344,283,393,136,050,585,
902,695,946,203,466,028,790,206,367,176,725,899,643,223,914,361,752,280,013,
460,161,132,155,280,775,422,147,213,062,576,324,988,706,293,198,552,743,156,
922,714,980,265,579,070,978,882,911,403,720,275,817,095,425,706,409,689,464,
300,127,129,745,274,029,190,460,917,399,886,709,059,528,253,839,043,747,215,
092,458,945,700,618,641,483,140,456,694,983,351,417,727,680,286,631,955,593,
931,873,460,561,038,765,150,187,758,390,182,339,632,637,144,739,831,923,747,
806,102,692,448,514,068,409,779,392,047,414,286,496,810,424,563,658,091,662,
746,094,239,923,184,686,249,786,674,593,628,484,812,122,531,374,410,254,742,
924,094,997,055,818,776,857,024,572,792,444,848,967,432,869,096,336,067,678,
190,584,594,287,674,113,758,813,355,036,332,303,880,716,645,534,262,037,152,
192,917,845,271,123,983,016,320,881,269,089,712,768,306,534,939,920,985,589,
361,720,582,729,425,879,652,386,285,321,655,534,336,644,044,628,424,561,918,
810,689,630,071,171,072,164,472,558,490,779,033,164,464,131,865,147,174,902,
187,634,455,564,610,141,073,022,220,269,745,584,393,422,014,971,440,211,807,
505,380,943,806,982,209,860,811,893,695,841,062,124,736,807,839,635,554,047,
331,158,777,892,414,837,907,959,140,639,280,249,473,836,604,942,377,954,158,
065,625,552,217,303,336,018,870,054,626,233,548,076,381,609,176,305,430,115,
797,615,505,836,033,046,442,837,982,185,008,849,466,365,138,759,138,737,171,
367,727,528,027,278,656,284,150,238,724,927,245,313,929,818,367,244,699,124,
492,741,697,489,770,800,737,821,225,010,498,587,277,610,618,138,865,666,160,
875,527,112,030,489,021,422,807,381,395,630,427,779,264,041,929,453,196,639,
919,278,469,560,519,003,469,222,001,173,476,873,516,235,230,979,558,076,175,
051,466,532,898,577,552,259,904,373,387,137,111,955,515,180,381,465,184,671,
002,286,495,111,446,395,790,789,017,153,976,927,035,645,372,873,010,932,994,
302,827,209,342,666,032,995,193,920,356,884,023,096,087,539,488,990,007,802,
202,208,058,459,745,127,924,328,191,557,321,544,138,726,672,659,423,672,528,
650,578,447,428,322,848,053,829,629,398,700,125,605,734,220,182,325,844,459,
774,161,202,397,328,714,841,341,007,078,794,103,376,952,373,684,043,777,242,
770,854,050,692,109,429,863,560,263,518,197,217,855,129,242,603,742,013,766,
542,631,769,239,298,858,092,226,883,766,067,660,032,283,196,796,692,181,468,
237,736,627,900,395,569,444,028,190,991,352,459,423,890,353,387,068,466,232,
615,842,459,081,097,305,714,583,335,091,807,995,953,584,305,175,833,421,460,
294,900,929,019,895,872,151,189,694,067,650,314,555,429,441,882,327,660,712,
888,342,229,579,504,341,520,946,537,404,721,184,664,625,570,687,197,826,458,
962,453,415,499,007,394,014,144,503,490,960,559,319,047,176,838,433,098,626,
262,720,734,322,884,643,826,834,447,245,652,384,824,258,811,941,047,460,830,
345,067,409,150,569,178,108,622,734,572,637,395,822,847,720,092,192,737,292,
886,181,632,497,867,842,737,402,503,543,981,984,957,921,466,156,459,840,879,
404,446,367,903,742,069,552,028,951,508,515,344,754,384,060,673,901,346,515,
998,967,238,089,969,736,750,004,720,041,995,584,253,852,341,741,609,408,484,
497,703,883,018,078,681,570,269,020,409,304,556,378,384,491,365,595,246,083,
693,562,095,818,043,993,901,597,450,279,014,387,955,538,956,635,541,357,501,
701,250,181,190,056,337,312,392,644,051,657,739,183,005,748,817,554,123,840,
172,377,804,884,383,070,738,055,001,057,259,302,005,733,969,227,082,965,163,
024,626,505,118,387,662,154,076,280,421,782,485,789,955,330,988,039,397,317,
652,261,666,984,093,627,787,864,995,766,016,046,309,805,090,734,417,718,286,
634,313,648,889,598,793,586,351,466,124,830,027,445,837,311,973,599,027,158,
182,477,261,223,467,673,842,938,582,155,546,128,955,948,389,488,215,455,394,
437,194,231,607,009,893,122,531,578,577,396,666,162,081,688,144,068,695,044,
053,389,679,839,983,003,859,339,588,548,322,090,243,310,815,904,751,091,554,
502,654,011,874,113,438,786,777,760,793,278,864,880,108,943,518,161,299,475,
106,836,650,991,471,196,149,753,998,344,484,923,585,808,835,294,639,953,416,
755,773,493,037,072,631,903,082,945,796,441,899,999,448,056,776,883,433,533,
086,002,747,432,250,300,016,503,102,321,702,585,197,610,211,755,677,302,213,
472,939,079,572,175,231,529,823,498,905,541,572,182,893,293,238,741,309,469,
744,531,574,829,966,708,341,308,279,779,834,200,009,224,671,235,668,986,887,
470,875,160,758,179,426,206,554,292,187,889,639,768,273,136,962,943,455,879,
445,479,512,788,601,720,658,216,064,362,026,489,222,571,909,832,295,225,055,
297,434,727,547,535,815,354,256,917,233,466,684,713,756,607,418,049,884,938,
508,836,901,833,115,155,666,293,419,130,477,270,959,544,981,885,036,745,844,
488,079,000,229,248,334,949,658,018,868,132,185,119,710,599,013,739,554,080,
578,043,660,746,335,044,302,352,414,892,086,726,910,343,410,259,451,173,828,
982,988,282,756,771,443,733,059,035,162,469,828,605,140,174,838,358,397,086,
353,616,629,379,937,760,415,911,079,206,391,197,278,705,193,991,221,971,408,
194,093,286,666,508,344,186,164,709,080,550,004,250,695,679,151,758,893,022,
034,099,983,819,248,705,512,072,864,800,796,444,322,761,262,444,747,980,157,
056,935,715,188,929,672,632,465,901,070,037,144,087,980,837,336,329,897,747,
521,786,821,675,116,798,404,855,692,677,240,601,534,589,233,647,630,831,986,
449,505,874,868,845,462,500,919,419,405,791,803,988,180,802,972,212,918,411,
138,631,166,321,470,649,441,997,144,296,517,981,477,572,300,637,911,193,548,
107,934,452,035,628,930,125,676,069,628,717,182,599,561,821,338,190,750,009,
519,336,963,089,410,537,467,989,051,234,286,726,783,171,085,474,994,644,287,
440,357,356,303,516,472,501,420,953,282,070,474,766,334,846,011,020,994,416,
409,127,345,999,548,580,090,613,364,308,147,283,292,004,010,418,301,187,915,
198,841,638,104,591,988,016,002,057,065,384,730,262,621,402,988,708,868,523,
450,594,259,433,394,777,831,589,142,168,507,214,930,487,665,304,014,318,801,
789,368,834,392,666,383,124,202,670,061,019,162,524,635,457,664,242,956,317,
670,721,851,435,067,634,621,773,297,856,095,631,376,817,453,169,878,906,758,
982,220,956,303,205,368,315,929,367,426,829,482,398,545,100,485,524,239,087,
276,160,434,856,490,844,915,613,803,487,823,511,752,161,643,369,854,618,267,
096,437,907,571,222,463,426,962,315,888,110,878,328,099,505,674,850,226,147,
125,962,454,205,430,896,972,954,661,404,019,828,523,544,760,191,828,176,235,
889,241,307,130,718,446,433,217,067,216,992,135,938,915,189,097,480,665,048,
124,365,823,116,913,051,125,852,008,753,834,327,830,733,005,069,314,547,600,
401,875,581,393,988,725,467,119,800,567,013,837,761,133,605,210,961,196,121,
193,975,059,578,902,172,539,564,772,657,326,511,630,782,059,668,609,788,907,
820,819,573,005,600,181,228,598,233,666,974,676,513,285,680,473,102,774,973,
423,534,863,567,704,595,566,333,088,998,657,730,027,520,061,563,619,723,292,
122,818,469,181,628,900,111,347,985,770,517,780,829,406,467,872,908,970,480,
813,523,681,839,925,107,800,856,252,912,231,622,997,637,200,165,644,803,446,
620,619,407,484,411,626,792,607,473,989,224,647,069,326,123,138,746,093,153,
001,547,260,923,573,800,757,418,534,337,716,568,924,540,030,767,448,614,227,
687,564,841,190,870,472,903,339,291,131,094,013,450,550,117,802,182,567,600,
121,335,625,518,624,583,180,010,588,454,609,675,170,104,867,375,604,401,722,
876,834,593,563,176,200,922,312,063,810,328,503,542,972,495,416,209,088,420,
222,998,002,030,692,035,099,534,744,667,078,783,172,595,201,353,990,556,592,
489,496,234,627,374,845,716,489,670,823,399,675,796,368,515,537,794,361,102,
741,001,973,149,287,893,412,731,463,374,314,564,903,420,972,449,858,923,063,
072,890,201,581,560,106,740,747,846,028,891,743,350,912,632,670,338,540,840,
111,226,521,337,656,670,678,175,531,276,464,126,668,785,260,520,501,264,613,
991,236,222,143,624,526,747,170,022,224,342,706,679,619,453,898,402,328,373,
566,958,915,831,226,276,919,435,007,463,668,652,872,353,107,854,732,612,119,
145,760,965,689,748,758,762,129,112,248,441,599,104,467,510,766,785,962,282,
171,285,461,647,812,550,289,118,185,726,638,549,664,309,527,070,240,730,630,
251,566,018,508,216,986,305,298,685,319,123,662,542,678,448,089,634,671,388,
846,245,859,173,283,202,692,278,354,610,254,011,408,641,640,927,584,732,330,
677,492,734,242,646,435,449,625,384,246,361,458,378,494,184,312,214,172,923,
199,982,686,788,000,227,251,028,753,420,218,945,377,570,660,591,046,323,839,
598,135,086,224,624,031,360,913,178,851,921,808,376,544,204,667,331,596,799,
167,753,566,599,958,787,834,717,172,625,700,433,176,352,612,361,064,452,360,
158,061,091,571,797,646,003,473,009,236,371,276,128,058,821,594,946,297,016,
120,677,949,444,001,198,036,704,079,948,839,227,809,271,605,483,955,724,931,
082,614,378,005,534,127,294,924,386,222,975,480,692,285,498,906,876,383,401,
912,821,966,046,948,617,868,900,245,161,290,648,594,393,516,083,574,098,839,
734,748,324,453,103,247,481,573,119,646,669,795,197,383,570,161,596,340,259,
219,162,495,295,387,020,588,191,986,138,120,991,177,063,815,728,476,621,798,
883,680,839,514,035,011,678,506,756,768,418,521,469,122,632,172,008,405,191,
699,141,183,179,240,826,160,925,722,365,721,227,892,232,977,693,682,390,922,
195,333,270,455,153,619,799,560,107,269,188,119,771,538,503,331,678,500,500,
177,236,845,417,486,173,456,979,429,800,903,147,296,254,767,530,488,315,106,
305,762,680,176,831,587,358,120,186,319,400,421,626,042,288,691,628,911,692,
409,729,366,724,943,064,516,632,729,291,048,485,301,255,024,811,069,987,648,
982,701,470,081,626,262,217,774,572,090,750,375,628,806,068,336,696,362,819,
071,948,553,332,390,899,078,633,946,508,774,853,541,663,701,802,296,252,283,
264,948,825,045,923,851,294,633,101,618,778,350,566,566,589,413,401,154,147,
553,404,294,645,477,818,665,474,597,962,073,666,670,738,147,755,460,143,208,
290,734,972,632,693,037,509,127,139,834,736,489,410,546,264,001,154,896,796,
964,990,162,624,496,466,220,791,555,178,037,504,398,594,104,584,602,615,040,
244,648,092,908,943,536,093,659,342,133,645,720,331,023,760,105,509,906,241,
785,046,464,099,614,424,834,836,977,633,864,763,374,471,833,883,958,524,974,
842,289,343,018,100,772,539,902,285,922,919,070,510,066,550,652,700,791,617,
658,922,359,481,674,621,152,715,609,977,672,326,567,674,365,996,530,118,938,
619,416,300,724,725,068,604,345,263,729,415,570,503,482,837,748,159,710,115,
644,620,499,774,636,428,617,937,737,651,532,555,397,692,711,250,013,951,635,
355,465,963,433,726,931,982,376,317,016,272,719,662,853,074,832,362,369,454,
374,219,804,152,626,530,058,990,865,883,552,663,444,377,303,697,699,413,297,
938,804,696,632,928,421,650,111,083,569,176,077,088,407,862,338,747,143,680,
016,623,585,872,219,508,291,393,042,070,331,200,149,370,855,071,712,395,185,
570,427,284,501,364,797,418,238,269,121,597,078,105,176,989,315,328,984,727,
357,913,330,855,769,313,644,620,051,478,639,777,087,026,592,183,721,548,404,
931,415,500,281,656,545,810,557,557,485,242,709,400,287,679,780,095,855,830,
026,731,732,469,217,714,306,388,084,658,270,443,882,251,299,674,487,184,883,
482,116,358,689,221,705,213,996,151,760,603,792,929,236,326,765,181,240,286,
428,245,110,031,299,408,026,549,986,933,041,649,113,111,946,740,850,249,765,
210,690,410,627,028,375,042,017,705,125,398,352,535,393,829,831,029,374,719,
509,704,879,669,787,176,783,391,413,483,743,192,355,158,220,687,121,009,281,
873,100,605,270,795,533,116,499,862,806,287,922,620,056,296,621,819,541,643,
358,466,533,917,239,956,341,069,071,626,267,639,171,231,162,460,606,867,770,
905,183,587,727,683,719,662,935,258,267,836,962,884,299,659,966,799,306,955,
563,534,350,433,473,499,353,598,147,601,096,622,005,152,443,570,058,074,051,
308,883,647,845,398,047,516,577,041,792,913,293,638,144,780,436,854,797,345,
340,051,050,840,337,189,021,230,235,256,997,891,162,358,131,441,481,949,977,
584,851,168,578,009,194,196,459,671,538,706,452,162,105,688,953,868,041,340,
487,626,999,772,360,300,800,210,530,585,492,814,491,129,830,837,557,021,601,
323,229,693,858,115,961,090,651,941,004,308,907,034,429,293,412,762,519,246,
967,697,538,426,409,814,409,069,951,315,550,381,085,192,648,140,779,943,533,
609,086,767,975,356,479,410,561,869,762,049,803,058,670,572,587,074,496,795,
400,796,059,200,928,185,104,708,063,425,375,421,144,902,062,634,407,413,689,
942,182,233,542,157,382,707,941,849,367,694,404,250,840,207,289,277,007,400,
259,203,621,029,451,808,004,061,646,222,128,109,132,463,860,037,693,426,476,
648,836,749,900,641,318,296,577,906,029,970,536,067,846,490,205,498,120,198,
065,553,928,307,715,786,403,968,062,354,550,461,859,285,838,309,079,858,805,
434,421,471,278,433,515,062,134,295,684,977,503,012,200,125,092,876,864,325,
273,808,984,095,476,015,183,057,170,303,349,034,799,308,976,981,391,544,237,
928,912,680,362,836,509,668,596,131,973,757,157,949,966,192,316,663,422,217,
494,828,155,435,968,196,284,749,542,095,779,235,289,897,967,172,248,533,102,
536,007,910,467,550,769,840,848,319,943,232,469,349,522,804,263,671,383,643,
150,392,563,818,389,162,251,146,358,061,681,793,979,539,980,398,747,413,650,
092,247,290,985,349,487,571,966,377,298,675,848,023,638,204,373,326,342,844,
605,809,954,878,664,104,414,399,291,532,788,646,933,594,250,571,597,785,904,
061,905,104,883,697,754,293,965,896,541,387,564,817,553,341,406,472,498,427,
623,007,476,976,084,958,060,915,992,377,566,501,912,184,974,490,112,297,177,
546,207,933,019,658,177,460,190,994,047,865,349,162,509,280,270,007,156,814,
096,994,716,590,772,299,256,480,429,647,991,903,565,431,472,742,702,974,318,
604,735,595,282,273,677,741,459,905,580,278,575,448,524,991,272,227,024,787,
998,260,858,027,795,127,436,364,596,197,266,931,342,581,332,284,213,504,726,
252,707,211,521,707,116,056,347,081,841,201,386,142,618,663,360,450,032,626,
516,547,614,212,319,041,566,667,809,445,451,841,874,716,579,122,652,619,026,
244,066,587,150,696,069,162,759,874,613,375,262,354,654,531,335,158,395,416,
490,854,411,125,364,569,815,580,603,161,129,828,554,268,591,853,179,068,806,
676,557,489,358,716,012,787,367,126,758,383,264,551,127,942,231,366,953,742,
129,532,107,125,102,668,401,337,302,511,494,569,414,301,901,092,722,559,868,
417,688,010,599,393,146,169,951,519,839,083,804,176,484,290,359,865,701,170,
470,104,195,749,393,151,196,286,467,022,610,866,060,803,488,082,749,694,618,
897,955,876,018,719,102,558,219,040,068,638,577,461,634,040,520,362,346,362,
116,581,108,197,050,830,039,528,329,628,427,855,464,061,855,897,325,293,051,
176,778,733,198,943,732,619,023,751,137,401,437,431,049,567,432,809,897,378,
466,400,193,321,530,110,555,011,161,002,601,810,121,237,942,466,401,475,597,
623,527,749,086,122,632,002,906,659,765,631,274,091,575,929,121,502,922,794,
673,596,799,765,172,329,249,586,866,119,779,217,795,392,090,711,526,473,284,
232,494,204,594,997,169,615,684,062,254,055,080,112,134,616,951,173,536,124,
377,817,139,536,576,262,875,503,292,779,457,381,024,739,600,368,120,382,380,
951,325,027,517,846,990,433,412,336,761,698,115,707,054,054,413,184,262,360,
909,169,602,073,575,695,427,788,364,779,714,333,556,512,294,955,935,798,856,
830,103,597,888,904,968,827,790,445,890,077,628,466,616,633,528,792,041,792,
118,626,613,368,502,429,492,039,631,558,823,345,837,539,757,477,012,129,164,
305,265,648,483,516,206,663,380,816,137,391,540,663,510,378,666,124,985,848,
088,017,406,431,038,558,562,686,193,705,086,528,773,066,755,444,394,877,856,
749,584,083,193,565,534,527,115,117,713,070,089,112,260,859,856,598,844,124,
825,791,967,758,451,581,002,713,778,705,544,883,523,912,936,751,906,583,689,
459,581,227,920,683,324,383,358,450,989,353,827,844,223,882,467,267,901,923,
373,598,199,678,819,018,684,557,930,192,887,638,992,680,606,231,215,546,539,
457,597,403,418,881,464,174,838,590,102,831,199,227,680,724,006,363,268,741,
250,333,847,675,719,506,761,341,795,127,836,100,961,946,648,664,039,498,002,
741,183,920,685,720,874,148,881,642,640,060,934,297,496,659,953,262,559,496,
471,625,522,563,215,780,859,682,380,291,804,761,808,609,887,846,687,017,079,
258,340,982,108,327,180,712,065,418,699,257,757,831,736,570,589,751,377,495,
974,005,243,475,741,726,758,318,909,703,380,734,560,903,699,304,630,385,704,
027,453,290,483,240,463,144,031,587,883,505,390,550,054,585,595,743,298,085,
066,012,624,856,106,186,055,771,422,182,269,308,482,722,338,170,078,831,822,
263,832,834,085,460,466,404,854,288,713,376,862,534,064,456,529,512,035,797,
239,461,433,230,517,346,928,112,497,712,384,056,372,896,876,068,651,322,355,
092,490,389,660,525,867,901,217,785,405,235,291,731,022,268,702,851,608,841,
510,615,536,155,571,395,431,460,333,120,890,223,377,551,211,809,928,230,992,
530,570,146,087,547,010,510,584,675,811,964,393,817,119,469,776,577,522,048,
224,818,566,821,346,156,294,235,107,357,237,857,663,789,993,631,195,677,555,
823,544,172,407,348,216,326,542,622,079,489,427,584,466,859,565,988,550,172,
769,692,993,137,945,385,234,101,176,170,290,709,398,178,953,884,783,935,971,
369,068,740,327,894,084,148,624,262,225,087,418,160,771,892,715,736,260,842,
751,620,961,790,708,802,325,346,387,788,948,922,371,852,876,340,816,973,160,
790,598,761,006,389,182,962,984,872,801,986,222,382,778,233,057,882,766,243,
404,990,673,911,039,625,968,286,167,362,176,813,351,016,504,824,465,665,025,
212,104,955,740,660,580,221,161,969,003,996,327,732,402,740,810,312,849,881,
892,511,855,136,026,967,517,628,830,804,461,047,308,671,022,641,334,278,510,
070,310,760,030,990,059,703,120,665,125,880,109,097,006,432,282,890,284,463,
817,392,089,080,584,705,373,976,626,176,558,701,918,428,415,040,155,419,426,
763,166,072,835,517,110,941,349,600,711,426,321,540,383,751,483,189,146,724,
160,695,262,525,215,493,408,214,193,360,691,051,789,394,018,964,081,284,050,
070,082,757,814,371,371,628,185,075,935,529,314,766,366,318,671,692,008,104,
827,805,999,925,299,381,761,868,211,989,342,918,550,638,961,118,643,743,106,
515,050,855,418,278,400,751,313,202,420,389,345,844,673,853,341,962,189,014,
094,586,599,440,585,087,998,008,753,307,878,190,648,080,269,496,202,955,411,
642,095,740,045,591,838,464,214,835,401,013,378,459,766,236,683,472,067,486,
567,504,301,055,580,467,610,619,162,785,081,675,261,674,500,528,289,170,840,
812,607,084,112,797,924,008,705,219,038,281,195,487,450,259,609,328,315,282,
640,411,706,810,587,442,743,041,043,582,164,483,713,667,004,191,860,205,749,
498,081,933,154,253,374,635,157,872,511,716,090,413,637,507,521,558,729,981,
204,207,457,252,048,174,226,195,853,772,762,173,592,201,789,155,440,557,512,
426,496,856,307,122,541,779,022,644,031,961,063,456,816,763,643,563,067,849,
469,807,065,182,064,236,427,433,604,324,892,508,646,491,550,414,416,357,760,
712,849,470,142,219,699,861,557,006,663,499,984,845,640,590,562,148,844,052,
072,236,254,162,272,205,278,535,555,695,900,431,332,715,784,827,742,122,277,
819,825,319,997,107,440,655,184,007,050,370,551,058,590,795,898,572,630,842,
368,070,482,733,410,086,755,810,366,087,671,898,537,425,928,524,617,148,886,
518,127,841,277,083,517,092,770,762,364,451,895,489,301,472,325,482,331,461,
108,852,956,685,498,668,768,472,018,856,318,282,605,041,588,747,681,416,937,
252,252,894,101,362,920,104,672,274,929,990,921,217,855,277,192,800,718,995,
578,085,936,933,939,384,993,313,901,312,777,017,014,043,597,184,349,837,018,
513,033,782,906,661,091,003,128,266,052,198,500,564,510,373,088,119,894,056,
733,275,735,508,581,699,533,002,388,600,817,311,134,188,805,721,237,166,787,
968,173,491,856,466,355,676,026,589,343,807,591,298,044,438,589,925,159,050,
717,053,477,820,595,172,101,409,221,582,727,933,999,737,953,065,841,428,415,
972,188,761,474,075,898,737,906,294,128,051,963,967,685,854,474,411,853,761,
781,687,001,392,952,456,842,582,586,402,567,696,464,667,892,988,172,483,710,
234,932,941,470,011,316,945,645,747,303,099,327,454,646,951,362,315,127,231,
216,199,670,380,742,028,346,366,076,162,085,309,294,234,012,377,445,817,900,
802,180,544,417,238,894,384,410,315,452,588,876,341,542,418,522,793,864,405,
121,280,802,284,346,847,378,968,062,816,269,728,336,952,395,597,545,844,593,
756,318,182,377,606,299,888,939,365,767,586,900,601,701,718,429,506,712,556,
173,247,643,987,103,484,791,270,678,706,761,619,879,569,616,439,773,097,772,
042,527,743,249,342,336,002,340,405,806,684,769,132,842,766,011,275,414,257,
102,971,063,205,610,446,625,768,739,267,924,436,946,137,467,370,438,909,305,
537,988,750,223,429,922,581,607,088,707,036,391,131,826,305,753,236,427,282,
056,281,684,874,074,487,643,121,453,555,322,440,890,293,390,758,283,988,733,
746,114,268,039,739,345,237,398,248,395,997,040,272,957,733,870,916,076,095,
994,068,718,198,465,198,972,976,954,577,006,746,303,080,948,783,704,780,608,
933,587,088,330,407,434,097,919,226,832,686,609,519,170,162,558,576,582,163,
871,361,764,969,713,236,221,271,540,251,282,169,887,785,672,199,348,122,300,
369,344,793,745,797,031,236,959,552,509,077,201,142,282,556,456,559,707,352,
801,772,946,042,357,610,688,853,100,992,133,031,651,783,357,947,912,034,499,
172,447,984,860,533,700,778,025,165,001,559,503,139,439,406,236,222,807,188,
401,300,858,086,814,980,001,063,088,115,446,000,415,063,319,612,514,548,546,
523,989,424,986,459,062,094,510,814,279,816,131,233,935,159,280,312,486,226,
641,680,531,059,814,933,693,247,857,661,193,588,929,554,127,977,215,952,755,
912,987,501,201,072,819,327,649,766,202,489,643,554,459,766,239,057,892,242,
426,156,713,732,066,896,005,296,976,373,134,122,915,433,720,484,784,460,843,
918,190,384,953,536,231,341,786,010,276,406,145,047,077,710,265,358,633,407,
154,342,639,046,180,059,080,413,267,532,485,315,005,307,928,970,386,823,453,
256,598,725,551,807,307,490,516,838,754,769,231,408,448,231,867,741,356,827,
422,033,055,469,439,965,026,377,563,089,673,742,756,792,428,860,815,828,636,
725,047,461,622,462,904,281,714,722,953,852,605,327,150,019,363,542,065,570,
119,915,011,606,818,494,815,395,795,708,521,305,816,371,943,481,567,612,333,
006,848,234,511,053,673,011,636,448,481,666,546,305,057,211,760,867,128,067,
401,437,081,222,164,672,760,332,617,491,716,365,911,431,442,560,550,615,379,
081,150,757,086,012,469,723,947,249,374,083,281,568,418,721,731,529,317,578,
396,841,661,572,771,693,521,408,685,950,573,635,759,228,176,799,711,686,808,
665,616,179,386,879,240,017,794,519,832,853,767,291,309,731,413,862,525,062,
108,620,779,631,397,249,785,417,884,599,280,364,348,411,765,217,548,075,001,
350,724,902,239,969,394,132,992,873,338,679,147,809,663,439,834,265,099,943,
874,440,695,019,325,221,553,135,617,749,761,578,954,259,401,770,115,195,540,
003,671,397,494,104,617,027,026,723,481,050,308,037,225,614,911,136,146,188,
066,251,341,285,933,060,835,855,661,336,583,817,805,197,878,100,437,448,141,
910,326,799,961,562,307,737,983,163,551,250,970,919,303,659,679,774,446,310,
230,291,059,003,851,716,721,730,372,070,746,512,067,247,538,179,980,957,114,
851,691,683,957,303,643,520,301,015,095,219,439,308,744,166,083,694,579,477,
959,134,835,439,856,409,082,456,775,618,498,034,453,296,329,418,896,859,822,
718,747,142,464,364,852,079,865,229,715,104,021,455,614,150,512,911,570,707,
174,952,851,896,574,457,781,844,128,510,808,233,391,875,363,503,375,922,819,
245,252,170,561,891,816,901,935,614,877,158,086,394,267,960,064,281,701,743,
322,726,704,616,601,871,438,957,467,319,096,983,994,835,061,505,239,415,236,
396,838,388,090,842,784,294,212,472,523,514,017,066,015,690,821,808,803,962,
604,954,971,741,934,972,826,386,064,474,487,026,806,639,956,796,733,731,803,
329,735,684,803,454,514,836,975,949,935,633,527,134,635,804,484,133,717,927,
300,719,209,616,830,785,442,698,729,538,601,918,989,597,000,979,791,081,779,
879,975,084,099,340,112,737,297,923,391,182,184,810,639,429,850,055,530,122,
150,679,392,547,674,090,315,412,621,889,437,600,573,522,280,582,294,797,522,
981,384,589,310,693,410,656,888,951,762,688,545,098,557,986,223,288,718,862,
936,360,348,230,630,776,955,329,745,554,188,111,691,222,538,569,198,700,302,
659,771,886,168,337,635,605,789,923,275,212,266,816,587,000,018,667,943,593,
536,880,263,826,627,572,108,480,148,927,859,853,140,425,663,074,226,422,668,
382,049,789,694,641,140,652,139,572,131,876,912,788,995,468,709,700,986,456,
334,439,450,628,331,397,155,800,568,866,854,335,540,544,373,066,030,787,151,
809,576,435,143,698,991,505,143,934,728,990,820,311,820,134,941,733,358,037,
503,578,063,592,550,676,663,693,598,865,412,332,960,209,041,690,989,619,322,
836,773,506,282,350,662,928,923,941,927,685,748,770,470,080,318,868,512,167,
428,474,096,540,070,668,889,981,400,399,896,071,449,926,703,279,667,744,520,
884,206,566,339,063,517,514,848,467,884,675,396,159,608,468,594,264,403,389,
250,859,811,144,126,771,631,867,036,767,326,708,387,894,232,174,976,349,630,
157,169,191,554,478,373,574,966,654,082,961,557,925,489,261,640,295,053,097,
770,804,782,041,076,733,170,066,636,399,884,650,567,114,735,622,668,061,131,
678,927,910,365,643,281,725,540,433,788,777,541,353,902,100,389,744,216,286,
434,771,873,497,802,608,042,965,777,622,113,257,386,907,629,708,075,953,127,
547,314,721,804,709,189,404,104,018,021,370,806,225,714,723,987,446,171,051,
188,477,575,007,602,933,881,333,685,745,891,065,091,176,898,191,868,921,592,
385,996,589,072,753,213,405,658,951,997,362,722,401,622,348,703,973,428,478,
884,380,496,323,245,544,606,611,209,554,172,036,016,525,391,058,371,598,957,
697,800,988,254,184,353,245,246,481,437,471,489,508,439,182,701,258,026,544,
363,433,187,720,224,121,227,759,171,867,734,400,223,780,994,294,116,745,156,
096,153,488,240,862,242,605,364,903,082,496,105,752,149,625,440,489,285,128,
526,518,024,606,315,777,266,414,912,099,717,931,663,560,004,348,894,225,569,
189,200,241,274,125,604,270,518,029,524,820,685,525,156,117,422,487,249,437,
175,278,109,218,099,829,843,167,216,697,225,873,517,702,555,621,530,657,803,
620,837,380,737,419,490,633,507,602,376,489,175,763,397,957,564,559,969,445,
611,272,487,840,213,373,719,929,424,247,152,269,540,963,346,081,979,270,076,
985,660,671,400,650,865,420,946,558,003,290,914,760,639,071,598,708,979,690,
362,261,229,513,395,633,707,213,534,332,875,524,799,979,978,331,685,738,031,
189,859,954,546,851,759,908,845,336,080,465,304,749,527,029,350,995,127,210,
316,827,521,651,710,450,892,041,104,816,625,742,428,767,728,438,846,893,338,
603,595,466,740,116,654,504,145,560,389,301,070,326,274,950,998,048,547,784,
119,376,030,027,394,369,162,564,178,311,220,610,081,429,325,577,276,378,437,
310,064,018,569,627,869,056,752,241,673,546,692,294,820,441,830,286,859,436,
561,185,333,069,941,497,558,268,229,621,917,361,562,485,402,825,934,939,626,
529,640,312,723,239,801,788,109,621,953,445,165,451,406,425,255,283,102,526,
140,027,690,875,009,330,029,408,961,340,076,492,530,141,673,455,672,501,080,
459,338,332,907,468,028,031,324,315,284,722,730,418,698,972,417,070,549,566,
398,981,627,787,622,237,828,295,806,196,719,549,912,216,602,408,319,629,910,
140,330,487,938,977,277,074,968,199,841,946,194,748,571,433,218,321,900,918,
045,503,370,190,106,267,370,120,978,521,120,298,327,182,302,786,547,937,998,
129,361,146,520,887,817,978,401,118,824,588,439,777,850,708,296,162,526,985,
470,776,788,112,516,611,573,543,261,068,007,682,067,096,608,913,657,211,352,
567,614,639,745,485,222,060,472,482,057,397,490,327,326,297,751,604,982,600,
311,880,044,889,963,535,307,893,522,665,100,887,239,246,598,064,035,346,590,
885,411,185,736,110,116,352,263,402,955,884,793,195,268,707,291,519,053,816,
440,129,156,950,874,557,874,915,476,483,679,066,323,917,548,767,346,743,064,
522,234,752,582,080,078,056,482,986,849,504,536,377,593,810,001,356,040,361,
518,348,502,588,662,811,561,715,751,047,459,235,701,890,267,841,152,011,582,
308,142,803,991,673,690,300,358,000,518,225,670,456,380,787,471,015,033,993,
937,862,679,637,468,952,666,403,354,629,082,845,162,157,220,317,110,403,650,
458,145,175,432,876,613,873,405,053,429,713,174,409,056,435,252,112,853,444,
929,948,948,003,958,056,226,957,696,986,803,333,024,354,448,643,078,710,367,
795,216,435,303,039,855,521,926,379,001,863,487,526,157,943,913,564,471,372,
944,159,191,998,091,939,398,224,405,637,613,180,201,769,104,175,191,416,683,
300,212,964,381,554,647,265,293,999,764,256,403,222,817,528,895,556,046,329,
816,153,364,857,908,261,732,856,035,844,838,221,170,623,604,158,312,245,766,
445,820,168,750,887,595,892,175,174,518,399,964,270,354,771,384,375,367,985,
690,148,472,432,811,190,562,563,342,853,890,673,899,327,657,344,063,516,473,
739,193,920,843,990,242,163,994,350,001,772,014,725,496,748,021,394,947,260,
068,748,167,076,103,105,990,457,605,673,105,489,571,034,868,604,297,325,137,
663,048,716,433,682,726,805,037,749,896,239,388,364,598,746,455,178,119,491,
851,966,516,142,426,193,835,628,000,047,243,058,382,195,764,583,943,462,937,
927,339,599,786,730,063,897,686,125,888,786,109,560,283,468,908,562,522,644,
758,080,135,039,870,722,066,041,357,748,724,149,591,749,309,677,776,455,493,
244,931,037,376,368,366,689,409,308,632,337,166,306,750,923,048,447,955,558,
130,258,433,985,790,348,595,264,822,940,696,111,655,411,715,972,890,593,090,
137,415,235,499,473,538,753,881,037,129,357,728,695,472,189,145,505,042,511,
703,748,106,645,601,707,474,014,439,262,029,820,975,764,317,385,664,758,025,
136,162,327,981,534,963,946,140,253,494,658,172,134,568,980,637,018,373,722,
499,584,468,076,893,985,769,328,362,491,572,431,685,103,221,449,940,388,626,
439,608,602,959,399,863,414,481,931,589,540,655,177,607,242,453,128,458,660,
236,903,703,352,870,288,928,351,164,764,856,218,877,761,596,108,690,710,787,
950,970,808,380,849,130,984,469,864,488,880,498,959,479,296,932,263,218,288,
328,360,474,581,930,297,964,315,002,239,325,815,245,920,390,603,284,750,390,
273,838,613,536,677,990,398,263,289,136,472,746,921,426,829,030,488,280,223,
213,692,426,349,578,290,858,701,182,533,326,320,562,353,130,564,114,395,955,
777,591,305,465,899,350,081,548,607,897,285,920,990,060,450,604,810,554,782,
555,486,080,918,069,993,833,580,739,108,472,201,245,267,776,882,603,896,769,
839,135,038,958,365,248,241,238,270,570,794,481,524,871,936,406,430,802,621,
163,653,375,229,314,381,319,982,946,220,933,041,665,393,135,740,539,339,525,
196,693,229,535,058,247,815,097,202,787,439,772,310,517,070,454,722,541,690,
763,450,007,237,973,018,447,410,951,398,249,633,298,901,362,690,605,986,764,
668,897,083,897,746,030,380,493,214,748,544,290,980,579,285,634,817,614,214,
809,666,098,872,417,999,383,697,963,106,606,676,859,881,598,824,273,024,249,
968,647,252,931,124,996,923,528,439,619,335,176,749,751,783,950,994,961,266,
802,244,564,930,826,850,895,320,228,525,411,834,013,611,436,192,250,653,092,
186,089,547,105,820,857,358,657,929,898,537,288,298,937,618,370,132,482,382,
167,008,102,514,029,000,145,849,676,014,738,644,258,730,124,420,455,737,786,
401,571,070,434,465,967,845,731,368,517,158,232,241,405,827,256,483,133,965,
499,612,496,022,152,861,758,225,620,502,859,909,908,443,646,875,850,195,971,
628,573,110,596,759,852,209,065,964,223,555,857,442,625,008,514,231,506,387,
378,488,453,373,467,398,167,376,901,371,684,842,292,529,467,190,358,510,672,
696,597,099,615,136,172,341,190,834,322,526,432,491,089,879,934,454,583,486,
448,159,174,702,121,348,022,839,049,886,640,328,166,014,656,285,536,428,089,
612,462,061,487,186,945,764,071,059,472,398,832,734,297,947,846,620,539,580,
216,630,428,539,769,044,560,051,172,563,561,368,057,147,999,576,918,262,089,
846,225,399,546,065,253,015,363,469,927,321,982,315,903,431,397,315,854,248,
660,055,903,559,625,445,903,786,768,897,611,070,990,404,915,684,408,361,523,
605,180,910,694,642,428,603,648,461,173,512,009,930,351,716,647,072,871,547,
174,793,561,801,006,223,293,035,049,462,306,433,601,416,504,079,466,455,871,
430,120,713,070,620,882,003,881,081,203,745,503,917,297,327,130,904,809,017,
464,992,961,170,238,306,521,162,226,857,255,793,550,318,552,975,372,248,377,
803,578,735,946,224,579,847,607,474,721,787,843,382,685,674,584,063,830,304,
438,400,190,427,461,114,586,701,532,298,563,772,952,007,801,627,737,430,955,
098,519,156,597,872,556,460,193,653,367,506,438,496,702,118,833,416,641,043,
025,243,679,024,775,465,702,376,896,886,413,694,848,336,954,427,173,579,525,
423,007,887,393,844,257,729,747,788,604,685,863,704,292,843,346,489,724,174,
890,344,559,714,323,427,290,560,013,418,040,295,323,975,801,123,283,873,137,
969,083,239,259,600,525,324,525,700,715,517,528,132,741,155,257,936,862,642,
831,401,011,804,059,998,034,171,570,179,453,119,024,956,869,128,106,324,905,
412,295,648,998,401,481,451,180,935,214,171,379,191,870,638,901,704,208,673,
605,730,933,671,011,357,272,787,355,485,635,099,074,621,478,118,801,522,365,
661,026,008,705,897,498,291,576,301,065,957,758,545,607,142,048,013,775,892,
190,012,191,487,727,197,183,094,325,935,221,230,169,210,245,686,815,928,025,
588,583,111,504,857,560,518,324,978,549,678,671,605,455,707,006,379,238,242,
133,617,461,415,301,188,385,232,860,866,400,778,086,760,505,096,252,372,683,
257,186,566,125,255,093,419,405,741,808,551,163,125,928,753,111,553,218,903,
808,311,024,071,929,020,611,740,892,647,520,993,161,443,947,587,183,727,035,
771,119,958,100,584,263,168,386,378,934,248,083,216,045,578,821,958,059,042,
315,186,394,738,958,731,800,133,773,517,904,595,834,606,882,593,027,723,044,
008,231,114,912,934,139,679,859,818,592,317,084,728,786,511,203,256,488,050,
201,239,994,052,432,234,069,720,917,851,818,495,312,774,475,142,840,107,705,
534,137,162,761,507,551,922,693,443,045,119,979,733,328,724,417,198,845,560,
873,783,218,491,723,933,382,479,934,516,845,177,150,325,510,469,058,912,065,
711,895,351,651,481,549,806,916,401,619,307,140,432,825,585,359,801,793,379,
354,006,420,428,469,272,870,825,501,270,851,479,126,559,832,033,962,440,352,
355,107,494,393,129,915,372,382,773,383,980,240,635,823,742,953,466,596,002,
816,256,350,341,283,358,589,441,189,590,186,722,902,010,975,652,969,434,218,
577,108,625,669,000,700,859,686,668,304,789,464,731,871,593,673,930,102,661,
252,509,414,295,906,478,223,324,678,876,974,737,100,712,626,515,226,794,554,
803,006,555,327,558,825,305,146,858,323,626,039,260,313,398,298,780,886,743,
844,830,324,927,352,118,672,910,508,895,733,840,147,385,441,204,374,234,422,
204,448,206,933,564,383,687,966,531,616,176,977,963,750,461,632,765,076,530,
874,098,332,375,251,834,871,909,086,070,441,666,502,779,525,087,615,471,376,
225,911,873,487,091,631,493,616,795,301,871,831,697,860,868,312,301,166,882,
633,736,146,246,784,130,656,225,431,791,621,392,633,465,405,464,311,833,275,
083,126,415,789,700,957,508,504,243,027,389,687,772,673,274,358,285,198,926,
227,737,926,035,057,801,371,488,432,257,264,660,940,608,047,101,695,468,340,
140,804,238,690,330,826,474,723,988,645,007,951,790,055,074,805,860,641,253,
386,044,104,841,313,101,978,659,601,317,310,430,009,306,874,798,056,825,552,
655,601,554,870,326,277,982,009,069,553,080,305,984,184,819,647,103,009,666,
168,574,428,555,938,757,383,866,354,811,855,695,096,345,338,578,869,213,613,
220,202,854,846,728,070,869,775,566,497,329,137,441,580,529,641,802,527,359,
222,348,815,935,509,601,807,431,067,098,668,827,194,614,367,328,632,761,430,
779,179,696,527,942,621,802,738,753,871,131,076,209,538,962,592,963,141,991,
318,652,914,949,084,301,353,874,293,604,535,382,708,650,620,325,166,102,132,
793,595,960,019,890,634,804,034,491,699,722,729,979,415,974,936,491,861,713,
141,283,291,776,312,831,497,502,615,403,248,409,519,211,565,060,915,620,220,
007,899,147,554,682,819,615,744,878,066,080,708,006,028,244,967,245,348,159,
257,841,452,910,093,084,742,246,341,980,842,924,457,167,382,144,898,376,227,
879,311,624,542,893,338,074,877,479,484,192,079,107,183,799,679,094,813,612,
278,133,351,357,033,195,577,816,662,044,317,334,948,406,742,053,474,929,241,
580,555,715,280,262,372,402,275,052,408,747,194,492,454,995,652,437,236,453,
534,658,511,139,663,793,877,134,381,529,243,004,938,979,736,860,358,135,743,
671,431,051,942,055,751,523,536,497,517,259,692,426,891,652,486,035,978,885,
714,625,468,754,893,604,985,140,698,473,044,844,545,816,880,437,037,868,952,
912,093,481,951,601,060,729,358,301,593,696,586,144,223,114,985,247,821,905,
380,382,447,495,542,520,425,373,664,233,402,328,854,109,710,523,414,426,892,
894,765,387,630,103,658,362,571,394,281,225,727,722,846,428,068,875,670,259,
125,450,034,022,694,554,383,789,036,210,904,353,713,183,460,811,524,352,551,
695,424,847,918,139,426,356,528,092,099,428,466,962,220,874,379,385,601,667,
016,084,516,747,067,965,222,664,779,597,555,344,408,978,667,598,604,993,526,
730,610,029,296,378,850,018,910,149,929,082,095,398,987,891,774,376,521,084,
537,261,863,937,675,092,033,969,158,178,308,025,871,725,946,545,703,954,102,
744,400,920,316,551,854,997,166,021,686,337,690,455,843,400,050,608,618,942,
328,417,025,061,827,414,125,614,364,259,666,352,575,550,354,555,693,676,898,
682,751,293,543,890,168,617,926,387,984,924,724,411,110,448,582,582,795,678,
624,397,962,902,398,510,605,359,104,540,073,561,367,065,108,847,728,095,992,
582,769,834,443,411,876,263,121,614,219,197,662,723,723,482,477,072,953,569,
128,943,699,952,265,221,844,667,770,905,878,774,069,336,958,863,064,010,778,
852,030,239,874,195,216,835,003,616,838,652,019,441,753,166,233,653,797,178,
037,426,073,539,428,883,953,003,197,276,744,347,195,529,823,433,615,847,976,
249,966,535,176,120,225,887,807,481,950,885,406,405,873,371,186,102,691,286,
250,483,443,490,948,749,766,122,615,825,577,620,987,087,329,716,227,737,594,
982,766,036,631,184,155,065,194,893,202,712,144,366,887,694,638,531,443,523,
932,094,775,196,068,097,127,223,432,268,226,881,644,954,742,147,109,537,580,
731,393,522,766,382,781,010,400,439,218,398,375,990,874,510,079,910,360,146,
014,682,322,159,787,508,183,020,731,029,195,618,055,801,175,254,623,666,516,
406,162,810,720,437,498,530,186,184,515,263,542,761,667,438,396,798,010,731,
117,218,602,007,438,057,383,380,366,684,947,878,734,044,466,005,149,221,987,
445,783,487,897,032,758,213,065,634,034,844,380,702,499,332,673,242,777,754,
079,819,410,727,356,528,370,285,729,248,129,292,567,294,771,158,947,621,113,
080,450,328,218,904,931,223,603,272,795,803,250,316,450,829,433,276,226,710,
517,450,722,465,924,968,029,254,418,271,953,446,410,577,695,864,697,563,159,
001,989,341,720,956,697,663,376,072,984,401,532,717,214,201,493,275,186,422,
935,712,021,097,255,292,833,068,518,259,902,968,344,257,615,308,555,473,686,
393,802,270,743,801,949,009,539,624,062,541,776,131,085,021,617,812,478,519,
162,489,329,183,360,351,654,162,051,134,400,413,455,089,176,777,838,670,375,
702,695,662,825,865,182,586,152,938,970,836,404,076,605,430,891,808,339,279,
133,995,884,816,415,923,848,310,903,905,804,525,866,633,421,219,353,546,236,
626,012,093,920,681,348,928,272,876,916,808,174,183,299,466,986,566,904,316,
498,491,927,865,264,458,877,142,734,388,993,958,646,987,094,665,148,443,315,
623,794,688,054,534,375,269,406,458,029,046,239,064,301,644,623,089,834,326,
945,032,741,964,331,764,265,302,371,388,761,641,511,753,459,083,826,415,533,
976,706,622,581,799,934,844,575,958,034,639,818,062,029,389,547,553,570,659,
311,006,041,192,732,584,528,944,570,021,212,882,030,260,317,293,149,930,390,
816,620,906,264,409,199,932,914,905,382,030,047,055,741,806,582,477,901,577,
727,305,999,611,789,572,077,949,754,731,187,174,070,588,129,547,251,357,613,
321,642,076,317,503,501,788,241,624,973,167,396,108,923,526,367,620,712,685,
757,701,269,270,769,462,775,244,205,401,255,134,651,175,106,122,953,639,388,
726,280,454,260,374,758,197,952,004,389,576,470,814,419,667,924,495,865,632,
018,865,441,757,325,281,588,478,287,445,274,099,137,228,536,068,594,000,178,
795,467,283,876,406,512,247,014,087,877,349,187,225,784,126,079,277,655,197,
653,252,602,818,541,244,690,458,713,274,189,061,971,524,467,919,952,931,989,
945,596,320,159,625,398,807,237,543,862,197,512,446,524,315,310,745,426,797,
361,477,023,434,175,378,533,300,763,452,647,533,084,967,523,148,044,245,325,
750,757,952,303,957,431,510,009,584,860,765,033,081,050,813,850,545,728,739,
557,682,451,056,328,311,937,618,806,710,587,185,539,990,562,805,250,193,885,
133,205,515,840,285,707,394,739,209,769,995,725,460,323,527,749,644,818,630,
028,675,762,916,106,706,549,368,839,572,340,604,605,109,482,682,159,909,083,
174,970,700,569,080,801,254,461,951,640,889,704,989,148,238,229,862,283,332,
813,475,009,990,997,818,054,203,789,131,750,913,644,894,288,564,014,838,657,
827,197,597,485,288,132,364,279,214,303,309,157,270,427,082,938,679,731,741,
142,625,724,208,208,565,878,172,373,755,022,521,057,663,376,543,383,542,153,
196,271,574,685,609,202,852,919,684,153,955,225,810,061,811,272,213,320,365,
506,084,746,439,311,379,488,681,004,325,764,983,625,174,086,551,231,671,028,
362,295,273,268,639,379,849,807,583,571,758,707,787,525,804,227,839,882,978,
240,792,763,217,790,467,435,464,375,823,076,397,799,887,015,180,162,775,522,
274,152,828,884,280,632,480,206,322,991,284,812,206,096,498,708,151,873,983,
834,628,180,104,196,226,766,483,203,614,195,349,393,370,605,802,309,637,844,
649,566,820,379,958,855,116,380,953,859,652,062,175,163,921,625,730,350,332,
789,011,154,944,258,760,579,650,607,503,571,299,687,843,605,461,959,019,611,
355,520,022,424,635,059,242,387,228,973,072,231,531,344,365,400,703,264,672,
070,510,480,900,523,494,804,347,059,546,496,302,899,500,301,219,005,192,631,
175,554,027,403,982,654,982,003,575,873,086,838,330,813,038,446,863,650,134,
667,130,799,716,740,558,271,694,848,145,480,534,062,660,725,137,364,935,481,
598,937,449,490,918,993,042,242,513,752,909,046,149,715,525,653,079,094,512,
203,500,580,440,722,678,530,895,251,664,778,955,936,656,380,807,430,616,755,
931,892,494,544,949,752,600,638,418,018,831,729,768,687,705,953,963,011,398,
335,442,075,496,053,427,418,134,236,710,840,989,879,372,867,485,391,911,929,
112,976,049,979,915,195,937,654,220,790,296,178,040,001,553,497,261,997,167,
023,474,907,750,302,217,763,701,048,972,288,705,393,883,943,072,074,183,367,
177,030,401,084,629,537,410,023,298,857,469,592,911,825,062,844,666,667,124,
656,246,497,000,453,653,080,707,754,859,145,319,471,670,712,410,426,861,504,
731,672,485,134,369,672,957,645,487,221,080,336,473,195,817,872,867,229,192,
585,264,844,097,299,804,251,626,035,729,863,567,543,210,102,287,446,321,865,
032,371,687,935,892,841,603,289,244,452,352,521,801,831,410,175,485,965,958,
761,738,330,340,711,039,368,000,841,111,146,164,529,210,682,805,007,379,325,
653,795,358,221,196,595,390,505,526,194,792,552,273,946,317,945,697,891,026,
523,134,751,349,793,955,228,190,641,444,801,100,346,542,552,566,798,037,910,
968,475,640,756,896,314,939,904,977,002,115,214,553,013,924,349,635,043,080,
609,865,526,346,068,558,297,044,099,033,453,603,273,759,335,619,244,723,423,
095,571,349,697,951,442,622,116,371,745,202,723,898,607,086,152,343,072,256,
164,930,552,723,644,176,216,831,917,824,676,978,692,245,842,342,807,389,568,
838,763,336,797,884,004,198,934,543,771,057,858,365,414,101,811,173,191,461,
032,278,736,057,423,512,042,094,634,549,569,734,151,293,729,721,544,831,544,
233,087,689,142,213,336,312,118,956,757,390,736,182,083,254,751,491,045,577,
037,168,858,750,924,342,552,235,736,116,298,718,101,828,420,156,735,035,939,
030,094,781,582,374,695,883,640,907,233,353,914,889,563,192,771,055,330,831,
278,287,265,351,240,591,070,147,007,141,173,918,759,551,236,734,769,802,196,
769,037,323,675,430,428,059,107,685,036,864,043,134,934,179,627,546,354,040,
119,849,145,725,495,941,332,418,562,041,755,177,766,134,405,523,907,818,596,
756,557,413,359,830,458,266,906,419,118,130,925,743,286,675,356,056,421,151,
046,297,130,313,209,980,003,702,511,023,363,658,049,622,912,220,300,917,681,
304,794,790,995,525,994,700,878,275,203,611,916,609,870,807,675,941,762,982,
703,743,926,435,714,004,427,794,897,509,004,294,840,227,476,675,773,503,902,
909,551,806,543,119,173,311,460,168,630,910,736,164,475,398,034,516,085,941,
681,592,064,706,229,373,766,727,582,738,888,322,853,328,912,823,180,411,987,
280,300,572,701,928,961,318,798,584,058,069,629,003,204,518,709,066,982,942,
635,347,387,928,649,797,884,480,525,089,062,754,320,494,884,480,099,771,242,
280,032,361,363,377,085,346,885,758,429,141,378,765,115,139,960,535,781,481,
911,100,950,602,991,771,691,178,964,578,860,160,493,716,644,401,486,684,764,
902,195,640,291,273,867,040,124,661,720,677,203,930,817,372,887,216,378,720,
051,620,835,894,112,242,610,629,861,520,544,386,458,079,278,344,687,802,230,
131,920,237,987,803,879,748,613,543,906,594,198,004,124,408,544,295,241,582,
340,640,909,297,686,121,313,949,200,341,095,132,719,597,656,184,645,695,220,
779,373,855,877,581,322,513,295,332,052,135,456,649,622,033,694,908,935,031,
302,839,175,045,389,434,222,043,895,837,403,953,524,093,510,164,357,991,254,
923,509,717,699,965,725,544,646,461,869,728,207,363,740,095,425,658,860,595,
726,016,072,160,149,423,961,388,106,942,660,098,372,102,712,881,975,056,160,
367,300,864,672,163,906,005,084,166,788,358,624,990,079,787,079,587,615,925,
921,148,621,880,775,942,818,744,194,584,657,840,308,838,765,501,826,807,936,
684,625,481,827,797,894,307,857,244,289,375,438,021,794,662,873,555,293,902,
962,148,549,437,796,388,125,711,508,668,792,772,035,240,379,490,086,804,324,
990,993,706,726,970,457,407,266,216,191,315,050,758,884,500,303,780,118,892,
190,659,040,609,850,186,768,532,380,865,443,258,985,337,883,008,279,041,875,
128,935,440,647,437,455,354,182,198,264,469,742,273,506,320,070,895,687,578,
456,481,439,383,015,759,224,952,002,587,358,773,123,171,643,885,002,140,093,
405,640,841,072,332,567,690,860,242,528,555,460,532,823,428,489,145,330,288,
866,959,106,995,083,265,158,366,948,207,411,994,165,416,070,822,790,286,885,
079,276,176,589,582,843,333,506,537,585,419,040,523,983,956,408,471,590,833,
570,849,512,047,581,905,446,565,227,209,696,249,985,285,213,721,337,382,077,
809,362,442,508,436,037,383,239,513,888,785,165,538,568,812,943,605,967,993,
572,880,944,729,052,433,820,554,244,327,138,401,993,236,102,358,728,199,093,
929,918,285,193,469,596,103,818,608,536,185,869,297,456,789,210,210,072,034,
343,220,042,452,792,445,925,033,381,861,608,354,615,537,533,117,097,779,134,
288,793,190,641,472,101,364,154,829,511,797,066,649,253,595,375,647,774,516,
392,541,230,025,578,857,076,205,576,863,893,464,013,984,375,621,150,740,724,
277,971,450,162,956,858,900,918,412,830,024,104,928,459,717,220,459,216,790,
877,478,736,884,747,842,504,021,826,130,978,970,067,252,078,749,652,978,132,
202,620,715,628,915,938,813,178,506,133,417,687,854,403,344,179,580,095,754,
050,988,847,668,903,247,308,377,592,572,757,842,128,607,388,876,729,894,942,
911,351,286,413,392,638,098,477,324,161,040,935,849,908,074,342,594,583,155,
744,009,234,488,996,923,389,430,822,965,737,563,709,783,424,138,848,190,536,
618,883,304,723,564,944,561,235,793,364,828,179,555,164,455,219,610,847,514,
172,466,952,399,002,014,370,338,438,083,556,621,593,648,866,354,358,650,461,
358,667,309,734,535,404,345,256,373,290,753,987,081,204,104,151,191,598,325,
334,108,933,827,672,949,162,951,682,784,396,842,971,408,607,109,113,695,418,
569,021,112,476,058,976,629,940,745,216,562,880,807,353,068,009,351,677,232,
089,804,406,444,593,677,941,634,403,747,267,387,753,007,099,218,801,422,909,
833,733,418,276,238,981,835,181,884,761,020,424,853,817,431,728,621,918,602,
926,293,400,219,899,108,019,796,664,564,247,424,052,187,748,537,650,170,272,
739,433,235,470,069,573,851,543,415,962,717,099,862,550,942,090,120,719,424,
651,346,989,903,228,842,103,861,833,189,936,285,434,405,029,314,056,418,273,
192,372,540,404,535,482,299,079,940,030,459,730,100,674,031,957,335,055,801,
024,856,314,975,717,997,339,100,561,672,912,212,351,756,797,560,306,630,832,
524,319,019,605,201,202,976,085,831,557,977,892,339,429,816,613,292,465,454,
299,396,114,308,677,875,152,286,852,473,670,412,043,314,963,846,243,247,613,
679,847,145,952,076,674,048,451,605,695,385,456,994,299,619,598,621,863,064,
124,136,865,666,407,182,682,463,577,910,771,828,925,636,836,692,933,845,069,
784,092,494,304,625,106,660,076,876,114,515,477,334,995,509,218,839,980,961,
092,733,471,883,179,124,698,768,974,241,777,143,199,214,291,809,853,745,057,
542,353,170,149,870,591,291,208,775,501,620,902,321,781,234,198,338,535,044,
090,017,060,112,147,044,855,537,107,907,427,319,131,770,113,661,137,715,088,
004,103,270,822,277,133,605,923,288,078,829,238,374,089,057,379,568,211,742,
383,948,500,273,982,325,611,705,850,336,125,069,125,903,894,885,502,112,448,
883,580,372,696,660,972,738,182,546,972,625,438,627,988,281,767,459,996,775,
163,684,134,876,889,195,600,729,968,406,351,356,834,286,429,302,423,428,250,
428,000,582,081,673,206,131,227,542,477,090,397,908,287,797,123,911,385,002,
426,398,543,332,531,156,447,900,601,335,881,001,472,692,760,794,629,260,977,
139,255,334,330,026,019,131,483,489,102,026,819,883,019,649,987,483,310,306,
509,237,566,102,387,348,533,694,793,004,963,016,618,479,740,627,928,667,938,
729,339,497,085,665,930,301,693,096,019,557,271,895,576,109,215,815,361,100,
913,773,887,019,137,132,081,067,269,482,078,543,898,543,927,954,497,076,588,
088,891,316,518,911,948,544,137,102,550,763,465,326,141,993,372,735,131,812,
516,184,002,733,732,428,895,751,476,949,135,317,917,659,679,699,532,878,469,
331,018,890,629,288,767,215,454,025,616,470,131,546,908,809,114,029,468,962,
900,149,989,373,621,698,913,094,947,595,249,495,254,616,152,602,623,497,640,
345,838,033,031,742,387,002,826,063,679,570,935,359,063,956,086,012,039,615,
912,546,907,654,259,279,692,132,949,317,477,722,452,707,256,207,087,976,859,
293,018,530,627,653,585,394,898,283,769,623,591,380,513,076,532,997,827,923,
621,573,077,126,587,965,948,170,070,087,160,138,700,228,071,074,314,271,742,
289,718,557,871,021,152,034,576,374,167,545,990,315,799,356,436,732,145,675,
777,260,296,411,989,980,786,940,005,145,827,754,041,105,367,906,810,820,846,
250,606,330,314,910,778,844,160,331,464,437,294,633,360,733,626,496,589,361,
010,119,247,827,065,307,325,148,396,718,079,683,046,447,304,646,843,045,947,
985,825,292,378,905,717,958,893,351,284,284,658,379,480,319,276,559,522,406,
992,283,940,630,894,269,831,986,722,802,891,743,268,188,031,549,229,875,652,
580,623,491,185,587,714,898,606,090,691,214,028,019,302,998,880,914,710,789,
678,676,191,482,800,607,703,208,244,381,008,524,627,266,835,790,420,742,267,
024,349,654,572,904,216,511,480,308,219,176,674,695,919,760,403,604,262,998,
168,770,246,889,640,962,699,270,161,275,941,418,100,587,579,038,536,156,391,
694,963,145,373,048,004,132,607,403,814,941,810,877,054,428,240,286,583,000,
544,392,990,383,394,408,109,592,903,472,976,394,693,905,981,576,271,581,679,
004,787,155,489,437,323,302,800,091,615,111,640,831,341,613,513,824,439,834,
741,702,856,374,601,274,559,044,217,900,848,818,196,070,074,401,092,766,269,
637,893,698,784,442,065,104,812,783,483,599,146,934,555,876,999,741,166,341,
234,861,175,195,080,748,632,595,920,559,985,066,107,235,944,970,014,424,291,
252,140,422,033,954,305,034,118,410,975,881,287,901,550,378,007,029,969,172,
441,065,627,549,940,972,489,135,513,025,540,001,986,639,720,422,902,590,057,
890,747,476,444,111,121,871,683,453,775,741,976,097,086,718,164,390,380,733,
095,438,139,936,778,065,525,404,752,756,066,964,146,301,772,137,804,160,468,
411,416,407,896,122,088,620,483,062,215,569,521,530,707,721,514,814,440,311,
755,866,109,587,236,410,706,616,774,616,078,162,665,064,865,190,192,404,447,
398,685,512,648,399,534,356,320,117,717,721,623,625,395,949,693,637,578,328,
310,678,504,673,738,029,813,479,640,778,349,278,302,748,320,662,454,992,919,
269,521,804,897,068,892,851,494,671,168,727,137,490,466,247,780,656,831,855,
091,619,435,677,344,393,897,497,080,168,136,634,251,398,343,067,651,249,603,
657,089,431,268,982,921,487,996,996,225,316,232,283,492,864,923,834,253,792,
921,053,554,365,451,945,771,489,456,863,287,884,527,449,768,734,926,877,357,
704,940,228,598,238,034,513,052,635,179,751,010,651,211,677,541,694,340,464,
991,278,610,397,579,552,881,504,193,072,691,776,720,949,538,802,789,844,988,
545,797,887,159,393,553,532,645,863,439,418,223,697,386,651,183,295,849,499,
277,517,414,473,345,492,295,674,407,013,291,260,734,841,487,827,454,630,675,
982,552,097,872,305,962,317,058,121,686,541,177,210,776,993,559,281,902,311,
799,113,511,248,625,694,751,032,607,275,447,679,159,379,928,871,271,205,209,
215,499,426,061,252,463,936,887,519,364,841,799,449,470,355,934,516,912,303,
794,637,861,684,343,047,397,695,466,544,219,235,159,150,161,483,658,433,292,
903,768,970,845,171,623,531,523,302,790,844,339,915,678,009,898,599,356,227,
335,697,255,282,479,214,770,282,806,642,970,778,848,849,714,924,470,376,052,
294,769,906,267,587,410,318,748,997,083,650,428,256,688,627,603,162,242,424,
033,719,885,738,142,594,949,416,604,477,308,745,336,678,511,075,074,200,988,
704,587,801,945,959,853,981,594,352,439,217,363,573,798,760,765,384,736,965,
058,822,130,493,091,118,240,115,020,800,539,945,991,763,684,583,933,676,468,
687,862,404,687,442,607,704,695,836,365,630,287,330,177,210,082,654,677,464,
262,492,380,149,109,529,991,219,210,800,153,929,831,249,537,459,445,098,887,
945,262,707,914,707,657,174,312,948,690,416,057,822,049,387,316,097,556,704,
089,133,538,897,747,531,538,448,354,372,614,253,137,371,380,642,181,960,064,
060,109,982,377,615,552,579,175,462,733,318,825,212,150,570,979,415,153,691,
087,081,974,773,024,364,264,269,386,928,293,633,738,229,833,741,945,573,289,
835,982,368,400,268,405,511,043,437,431,516,543,424,394,729,777,974,186,708,
082,525,176,583,269,838,331,986,644,061,568,463,717,281,418,637,931,361,893,
152,222,654,818,415,562,473,705,327,764,044,041,126,155,246,155,661,350,536,
850,849,075,495,383,068,483,727,289,778,362,460,934,389,928,895,789,878,315,
199,279,541,721,261,767,099,332,109,284,753,969,145,589,588,744,718,094,989,
420,407,826,411,465,604,009,264,346,561,528,902,959,017,670,242,747,931,682,
029,111,964,337,251,537,017,841,333,027,120,284,563,181,267,750,274,896,969,
530,927,589,613,425,818,933,166,668,687,360,157,598,003,831,251,598,845,475,
940,048,545,722,420,635,708,606,386,536,010,141,002,752,890,519,573,883,575,
588,713,077,238,514,187,357,591,835,659,504,822,793,426,756,985,840,801,936,
049,027,892,119,595,975,070,049,829,566,490,348,456,504,336,092,701,057,493,
795,874,619,011,304,634,877,907,667,529,690,698,374,258,458,712,574,008,839,
473,565,784,456,786,617,070,372,226,823,297,518,404,485,980,855,951,833,785,
436,169,750,225,963,962,332,852,320,892,731,455,716,453,039,658,224,636,949,
017,519,502,433,010,892,481,157,241,423,955,774,633,080,157,717,861,647,192,
351,312,157,279,005,412,775,598,874,316,329,963,476,142,244,561,833,547,827,
600,432,968,945,636,375,494,758,680,190,923,939,341,050,592,141,566,849,031,
821,717,638,392,589,960,325,024,160,226,093,982,283,035,088,030,038,548,783,
658,885,092,767,177,825,199,881,979,923,956,770,740,787,952,054,673,603,469,
545,376,142,272,999,713,276,719,554,113,019,657,451,535,604,638,550,465,114,
539,753,330,777,410,210,375,142,396,282,390,459,512,023,809,455,975,274,570,
935,447,524,156,531,342,443,817,504,795,685,389,596,561,811,472,319,790,931,
153,061,088,787,274,805,386,415,263,227,987,215,398,522,380,153,595,795,366,
637,813,821,129,085,479,692,788,076,638,982,054,022,746,073,889,023,574,567,
082,047,840,152,009,713,310,264,887,283,539,090,808,107,366,683,193,307,712,
349,768,407,041,227,066,526,635,850,591,913,448,305,021,752,329,849,555,364,
097,341,061,138,972,046,745,817,006,286,399,438,004,916,992,802,677,844,467,
464,086,954,285,340,673,719,723,998,581,678,822,095,803,850,316,406,239,799,
310,593,263,283,336,428,291,557,334,499,240,056,048,728,169,777,644,365,459,
897,126,826,373,549,226,672,002,107,584,557,232,802,743,211,537,739,356,868,
305,058,488,085,293,749,719,654,400,395,166,085,999,354,761,842,182,165,073,
909,924,044,561,525,511,266,281,132,880,175,393,433,691,876,430,045,176,568,
441,627,257,665,258,367,855,057,468,605,073,781,067,807,247,977,859,404,895,
693,668,056,158,070,678,772,143,205,296,024,465,145,914,475,492,114,529,662,
670,037,647,447,682,952,421,375,277,328,571,015,292,918,654,798,152,995,330,
812,728,633,128,474,514,047,036,358,152,834,340,781,607,010,248,998,672,398,
509,398,356,846,556,310,327,071,672,718,162,866,954,908,145,819,984,681,564,
505,492,389,805,075,022,341,933,271,805,179,919,992,088,045,260,521,396,486,
300,856,949,604,492,479,181,875,424,914,767,297,334,640,082,964,423,393,408,
083,710,731,679,935,892,379,423,953,541,273,594,214,142,631,136,263,177,743,
853,299,699,767,644,940,006,789,203,195,839,575,904,705,279,946,215,693,729,
232,663,154,029,963,373,646,473,110,474,493,686,809,683,611,707,804,003,155,
038,243,975,173,345,442,737,658,746,702,174,457,039,453,555,026,750,300,054,
390,296,069,730,470,236,440,576,338,694,506,849,105,889,626,652,986,196,891,
642,082,051,573,378,324,478,593,353,229,054,726,846,585,043,744,586,269,860,
948,329,938,120,166,639,963,680,517,758,915,011,269,391,658,012,186,201,956,
173,622,756,343,079,145,592,555,745,037,179,930,676,541,945,332,976,404,695,
907,578,797,121,513,196,108,226,330,038,059,501,842,656,642,374,357,686,168,
779,768,314,729,672,761,524,775,703,634,584,606,661,472,630,338,101,109,069,
473,863,406,822,461,952,085,577,600,073,630,706,932,933,973,151,918,746,191,
807,772,548,124,592,880,866,852,914,044,794,179,417,180,498,776,107,863,669,
707,495,131,796,806,020,219,252,520,887,554,046,988,028,437,534,266,070,585,
437,973,301,393,586,205,266,183,370,427,096,203,780,448,350,269,337,630,691,
580,742,646,584,109,045,865,866,423,809,251,113,209,405,363,017,587,137,021,
293,976,174,845,174,023,666,927,025,264,580,454,032,524,555,367,074,080,891,
191,459,979,600,039,669,816,375,970,938,752,777,390,824,081,765,239,417,691,
874,898,135,676,280,795,735,155,322,874,773,519,925,739,959,121,700,619,660,
119,659,281,097,815,488,905,979,220,376,610,584,360,416,790,081,967,597,633,
114,580,734,447,087,251,374,951,706,271,518,034,758,640,037,080,321,481,468,
742,586,392,399,200,821,293,751,596,128,199,586,589,207,181,059,511,966,938,
170,734,717,243,899,746,172,920,810,699,890,781,692,107,019,508,646,742,714,
276,002,105,402,929,264,758,147,274,146,366,597,117,276,281,742,078,243,021,
697,473,000,687,085,969,428,456,298,115,655,419,007,261,615,900,368,410,806,
171,751,015,370,528,419,259,619,840,488,957,969,681,161,037,117,749,909,169,
912,712,988,206,476,180,941,130,637,079,666,767,105,628,790,555,206,072,618,
120,216,627,535,222,448,180,910,664,658,707,936,443,067,618,308,272,885,096,
456,809,815,517,049,620,934,239,775,333,378,314,574,479,994,733,525,099,957,
722,314,043,551,676,894,973,517,059,059,995,826,722,483,519,175,839,671,865,
156,216,394,622,412,942,667,077,763,792,504,555,961,974,117,095,961,267,144,
260,305,884,203,549,635,903,670,075,701,378,689,110,984,294,271,397,443,545,
279,420,915,093,920,151,080,602,894,115,394,711,183,548,875,718,606,378,093,
181,036,429,811,913,886,059,093,976,778,206,712,423,998,800,524,281,683,246,
594,706,306,005,964,080,565,780,848,661,101,730,706,781,131,909,616,856,022,
200,121,817,613,435,327,226,252,664,633,451,407,701,532,933,388,621,351,053,
553,948,934,238,214,297,540,404,789,022,058,283,596,665,801,132,473,329,055,
552,494,625,916,341,807,532,873,213,436,325,745,951,803,468,246,868,507,495,
930,683,707,628,255,188,151,662,524,791,446,415,430,044,221,402,792,569,021,
412,650,797,115,485,500,334,030,722,166,105,657,943,964,944,688,312,311,715,
607,457,162,330,391,060,431,684,324,177,849,278,171,955,615,228,975,864,164,
298,785,068,579,634,868,202,805,200,458,050,487,848,994,943,661,546,045,783,
865,272,048,751,600,621,147,888,718,950,834,909,922,297,942,442,236,547,798,
540,744,317,168,272,537,133,055,462,885,702,779,346,550,644,282,253,844,704,
191,859,873,349,222,543,460,304,952,994,254,536,519,243,376,416,652,475,231,
460,609,991,973,667,877,511,029,936,548,166,155,719,272,928,141,077,955,691,
385,289,262,934,748,587,444,668,081,027,106,047,238,877,470,674,631,446,785,
107,692,818,971,861,370,342,563,651,435,355,216,636,466,313,790,985,644,008,
370,142,637,879,289,521,740,581,469,509,282,369,133,615,252,410,112,240,766,
614,975,826,140,151,107,964,942,855,793,758,601,651,829,002,925,869,344,797,
797,300,602,955,122,671,031,485,006,482,593,108,287,127,864,823,228,177,632,
140,721,817,544,534,028,635,172,441,013,952,186,281,302,794,738,053,140,374,
365,690,090,200,632,356,520,158,442,697,649,938,852,391,493,654,729,710,759,
102,529,399,532,637,420,038,008,940,922,934,165,634,175,392,113,506,116,548,
452,215,946,555,580,915,126,261,807,190,392,050,496,908,872,391,668,327,654,
001,227,499,378,935,229,480,699,064,247,076,272,569,344,652,365,037,307,399,
846,052,914,295,638,809,776,424,531,421,604,793,624,758,859,827,843,950,167,
802,228,514,335,233,869,533,145,949,402,280,412,227,799,612,591,915,396,652,
802,546,389,005,805,416,580,334,698,920,297,594,083,788,853,255,675,446,514,
926,438,923,006,848,355,214,118,326,059,728,213,089,184,239,600,754,187,221,
444,058,839,058,267,213,318,749,872,872,151,109,813,969,513,657,508,172,085,
321,913,830,813,605,027,334,959,416,459,310,472,890,092,230,680,328,152,524,
456,476,936,880,525,255,684,877,876,005,166,372,778,351,039,639,691,513,632,
748,012,740,094,811,270,801,574,848,582,849,063,173,994,541,335,034,551,781,
700,145,751,286,777,716,466,546,664,107,343,601,607,378,109,959,569,771,716,
336,062,416,425,314,584,811,520,412,286,205,664,150,147,770,886,240,273,594,
258,022,562,545,034,955,691,484,780,528,731,030,159,925,997,939,559,810,237,
251,060,265,698,793,767,769,937,595,780,673,098,228,476,575,271,603,827,357,
397,708,438,954,269,613,691,890,483,768,420,614,928,186,208,489,247,655,928,
344,883,162,924,666,371,181,388,507,885,475,359,263,828,592,813,126,427,103,
094,311,582,511,919,256,711,799,198,427,630,869,997,655,013,573,455,297,100,
592,854,308,892,077,582,276,934,864,119,025,508,510,648,705,035,288,672,820,
870,874,244,084,047,402,381,300,886,886,136,400,805,337,664,069,038,565,081,
405,201,716,677,714,964,385,677,084,862,290,101,573,596,531,196,803,021,871,
925,843,290,099,593,731,052,836,668,450,675,130,527,149,001,231,552,852,903,
847,560,724,283,664,709,441,403,844,456,629,162,621,291,750,572,431,269,682,
216,988,925,394,392,475,448,696,316,551,667,689,571,932,699,613,360,539,612,
286,207,311,601,936,285,825,581,699,949,044,052,189,364,583,748,840,132,825,
263,247,457,326,961,907,456,752,975,516,144,314,651,164,304,980,285,666,207,
913,083,649,985,225,703,633,384,137,625,281,516,413,676,139,177,860,717,721,
234,495,549,616,770,747,826,435,044,727,089,567,652,406,153,665,423,320,016,
183,486,003,184,487,948,630,482,021,481,187,702,116,538,537,178,260,447,363,
742,723,886,387,782,604,230,951,138,523,504,463,434,415,864,484,350,233,900,
104,874,266,213,528,924,677,423,271,119,772,261,248,234,563,133,359,856,636,
342,385,265,419,864,079,627,503,075,837,229,723,066,392,265,356,645,671,675,
777,752,904,116,342,230,303,770,325,001,591,171,758,176,830,605,224,226,298,
500,734,573,899,124,891,363,165,404,515,424,394,918,513,394,683,997,495,916,
063,840,174,569,658,353,879,891,566,068,596,341,372,676,280,676,956,908,452,
684,324,231,591,502,779,866,815,390,149,838,712,598,992,730,047,358,972,839,
881,072,773,178,382,096,739,502,032,346,978,592,245,965,004,827,850,050,574,
779,916,746,310,971,903,449,435,226,563,079,072,446,458,319,403,581,541,799,
886,573,434,855,529,647,276,652,546,742,876,668,893,235,628,877,917,472,250,
869,692,820,490,965,313,603,558,209,688,407,246,114,024,567,375,061,389,375,
213,553,439,468,997,748,631,209,240,389,409,629,868,112,298,664,892,070,030,
183,964,775,159,840,749,123,965,362,773,664,241,969,490,100,197,200,449,131,
275,858,597,911,004,570,614,306,487,714,705,678,503,201,127,824,787,990,815,
151,105,709,367,210,132,767,275,628,610,674,675,918,177,158,484,996,518,378,
602,014,109,883,616,267,132,495,140,670,419,234,410,468,192,919,040,297,178,
003,825,175,564,400,135,397,988,698,653,148,510,741,421,374,284,468,162,317,
728,536,769,329,701,512,756,470,677,309,145,225,254,063,484,074,833,185,220,
903,406,452,333,049,678,283,626,465,802,301,799,791,916,905,114,292,777,082,
983,001,722,484,022,761,097,280,919,171,494,781,167,925,275,548,481,440,942,
510,426,177,150,652,301,334,852,923,590,193,900,694,212,756,802,910,095,103,
990,253,678,604,316,772,742,282,939,404,396,813,836,056,208,294,516,735,020,
898,906,330,905,679,230,655,754,832,411,891,833,811,806,606,557,433,118,241,
091,074,435,531,167,412,052,608,659,920,785,246,329,141,712,461,348,139,944,
492,465,443,142,747,550,511,843,496,671,237,802,435,137,034,257,199,685,286,
027,456,437,330,989,845,741,348,152,969,370,594,075,331,039,280,815,676,852,
404,636,967,699,233,732,865,827,062,143,014,897,901,673,429,083,858,352,679,
029,058,115,183,172,023,711,035,860,749,436,129,776,206,667,162,557,427,659,
563,771,780,313,395,527,191,379,404,590,663,168,497,384,620,130,625,700,503,
680,278,652,570,067,186,883,610,019,960,637,904,140,618,098,691,230,874,283,
441,866,314,503,975,686,964,700,006,063,299,258,388,983,044,544,735,459,658,
399,596,202,662,586,906,866,951,849,364,284,329,269,829,075,388,977,809,445,
688,993,447,388,696,326,962,115,950,045,380,135,963,028,085,248,175,487,745,
085,489,637,398,844,782,531,001,367,533,842,493,137,528,888,621,198,155,597,
673,266,400,209,755,800,089,224,718,018,093,355,060,482,526,250,222,067,101,
470,707,218,805,792,480,048,887,417,017,010,074,634,718,325,492,345,698,869,
471,953,525,613,481,803,900,613,030,229,706,081,253,430,013,592,136,313,455,
042,457,647,400,193,851,638,352,077,972,137,594,705,892,549,941,037,227,789,
794,716,425,730,700,090,744,147,722,909,952,081,968,650,424,087,570,364,129,
690,274,733,203,728,024,091,227,227,089,206,400,246,807,436,493,172,826,819,
172,791,380,546,826,061,752,585,758,941,653,151,540,005,709,144,560,740,525,
824,615,653,700,190,416,604,100,536,689,744,895,526,948,020,838,529,474,056,
799,152,438,796,906,384,727,648,723,775,120,249,346,577,784,873,722,806,596,
376,097,211,600,543,842,737,971,011,314,168,896,917,898,300,932,097,594,259,
012,785,500,296,411,154,554,501,240,148,318,469,900,771,891,040,513,146,412,
748,596,728,404,432,773,337,683,155,804,824,308,356,904,400,013,067,343,122,
226,129,588,158,656,584,876,254,349,175,534,769,151,725,011,563,624,612,037,
455,671,384,196,337,737,170,846,593,841,349,622,439,825,968,698,359,306,500,
208,064,299,458,957,703,878,736,528,676,539,766,124,153,976,678,366,922,328,
892,713,579,597,447,619,551,879,409,256,425,574,627,661,125,271,767,380,386,
874,529,509,638,340,245,681,916,506,274,725,107,206,723,396,699,249,916,250,
580,019,387,253,145,522,330,304,287,468,486,689,261,149,429,187,611,530,841,
717,073,266,973,427,300,571,732,809,826,027,070,992,237,792,525,201,012,121,
651,149,073,899,113,098,062,889,980,339,525,141,070,649,967,871,999,130,755,
879,832,018,761,344,300,729,718,791,925,053,500,816,207,623,052,129,595,534,
593,746,400,288,465,169,578,670,034,105,700,272,347,725,319,014,406,494,219,
946,717,080,336,505,704,506,914,851,773,969,352,017,372,979,164,250,558,779,
326,851,204,989,859,246,572,677,141,718,996,543,540,616,338,486,776,403,009,
587,588,394,933,123,056,058,450,441,748,781,205,148,070,278,110,968,258,463,
412,538,897,337,897,897,372,192,222,212,495,509,464,122,522,471,295,626,519,
239,567,882,943,271,419,078,695,706,649,610,121,379,418,687,972,581,796,830,
592,456,717,106,263,462,638,180,847,986,841,219,500,101,001,377,613,127,087,
509,343,175,944,236,507,246,925,900,947,387,292,252,637,214,911,243,082,785,
886,698,260,161,205,898,086,693,350,144,001,255,155,567,723,611,975,459,367,
610,600,679,236,534,702,091,326,082,535,198,498,413,868,692,922,369,881,684,
823,534,022,783,578,437,975,321,205,705,556,638,799,131,817,026,815,452,245,
531,394,855,094,377,302,721,817,934,563,351,286,209,623,228,775,316,182,262,
253,000,754,847,371,440,287,515,888,461,051,722,167,755,171,323,829,028,506,
803,454,906,197,477,431,328,842,031,433,082,902,149,598,138,293,737,627,239,
334,369,120,184,212,148,232,189,376,661,045,146,687,224,145,350,698,080,854,
321,795,187,149,369,852,259,646,315,149,939,088,240,615,057,851,186,143,180,
344,270,295,268,805,575,920,166,224,764,033,487,801,392,183,677,943,095,461,
071,665,728,240,501,812,624,782,249,124,614,317,882,149,260,519,669,087,381,
252,185,900,066,292,686,762,021,820,917,777,381,352,562,472,467,207,879,543,
735,852,920,931,391,530,807,481,532,157,556,965,723,619,454,909,251,062,080,
115,101,335,352,347,580,732,160,376,552,803,762,173,435,728,651,581,823,033,
916,276,874,477,774,418,897,214,970,673,312,456,473,689,109,145,093,525,657,
361,681,864,544,499,178,556,873,618,100,999,144,479,614,503,648,670,970,405,
221,746,725,971,962,506,188,183,986,313,235,247,278,593,163,482,726,532,340,
547,654,072,602,368,734,452,984,607,343,141,981,624,342,334,140,295,431,099,
164,826,290,479,183,658,699,103,980,333,939,189,997,186,159,237,628,411,128,
962,279,080,496,270,631,030,475,422,694,744,458,633,381,398,943,083,032,040,
961,065,485,693,562,845,568,567,642,812,138,698,764,666,182,989,213,546,133,
304,270,477,517,377,950,921,032,085,070,668,418,248,733,937,624,044,044,334,
065,019,647,289,814,003,350,175,049,733,893,937,984,026,475,246,203,855,927,
125,140,730,511,637,168,941,948,758,636,147,354,528,898,578,956,732,134,029,
008,064,793,667,070,858,951,369,968,383,606,332,590,435,242,142,855,074,999,
268,091,098,582,196,612,626,287,735,917,249,525,252,605,982,277,169,671,886,
827,322,415,209,077,425,937,532,995,686,311,070,744,069,157,760,386,676,343,
204,626,038,892,953,365,332,121,342,298,538,010,639,002,785,137,797,151,096,
388,407,814,764,335,269,350,861,353,212,444,026,716,893,547,428,452,974,516,
287,827,549,497,570,684,806,308,203,452,846,918,275,517,941,814,037,419,703,
699,642,977,463,432,371,714,069,645,988,469,772,678,216,799,128,837,937,485,
244,829,608,660,883,732,697,196,442,947,761,641,027,752,908,953,789,063,148,
707,964,861,967,690,384,960,564,671,044,049,038,866,234,236,079,328,990,558,
913,818,381,703,894,831,271,654,215,200,320,371,267,910,874,608,447,636,076,
502,475,323,935,931,633,982,367,105,660,429,784,067,500,177,508,816,833,673,
278,413,326,372,100,376,581,614,393,884,493,980,091,027,495,135,278,982,298,
588,620,347,747,230,297,456,604,066,946,399,696,501,225,939,201,327,470,347,
566,502,997,478,022,230,733,008,397,849,648,004,226,605,934,489,992,412,400,
226,356,106,588,596,977,167,578,762,939,003,767,091,304,289,884,439,967,064,
998,444,730,765,747,318,544,835,200,242,559,576,728,972,434,603,005,799,857,
581,332,149,115,677,060,672,998,470,518,849,414,049,807,102,244,713,915,728,
270,636,394,793,171,619,705,821,780,884,396,253,239,617,529,174,138,983,845,
068,151,564,554,156,275,701,104,533,814,203,323,448,194,435,992,381,681,757,
919,091,148,767,215,897,145,908,961,310,958,753,558,688,848,689,809,915,840,
485,223,989,439,486,990,357,950,894,882,904,546,802,326,488,620,059,945,731,
604,557,316,091,930,101,253,075,623,058,703,028,540,854,162,907,032,222,522,
512,156,545,002,477,422,986,699,845,240,000,871,379,767,705,728,164,412,676,
440,513,334,262,941,326,389,176,489,424,479,524,552,975,545,222,261,003,043,
269,282,073,260,607,789,791,517,468,258,897,215,749,717,296,355,466,798,601,
829,442,434,779,980,515,184,456,208,716,998,500,285,355,537,382,220,763,384,
955,667,943,535,362,367,777,129,266,543,834,561,651,999,924,042,573,395,609,
162,551,042,079,386,924,596,562,604,781,018,884,951,745,319,780,670,636,571,
578,461,415,618,501,649,044,425,372,143,996,215,312,777,545,736,162,204,536,
457,284,634,699,345,373,765,979,269,343,117,492,449,205,308,177,897,852,527,
991,419,112,377,033,223,312,969,323,646,224,138,280,858,896,972,077,461,338,
978,645,841,346,337,762,220,297,557,662,366,879,635,461,870,786,080,458,495,
096,104,787,535,291,356,786,058,350,934,166,749,289,065,898,235,648,227,782,
891,310,555,111,391,402,130,097,741,938,515,915,407,926,186,141,424,475,699,
383,319,558,809,566,181,557,319,128,247,013,992,206,146,971,424,173,699,728,
904,338,062,461,826,656,552,649,304,586,140,995,288,471,275,370,746,459,394,
494,580,883,820,724,039,928,634,879,742,522,185,240,356,054,716,362,417,985,
552,094,238,002,022,192,490,296,647,657,213,840,565,230,599,312,774,522,172,
626,921,612,906,721,859,985,670,961,312,421,493,422,770,528,077,361,796,488,
364,716,016,517,279,193,482,485,797,048,615,506,634,064,593,677,047,316,369,
676,821,948,113,976,187,504,444,746,984,817,257,669,711,270,387,481,165,008,
892,243,913,615,181,267,541,346,294,839,914,143,968,023,632,905,839,840,138,
145,459,642,688,446,836,130,312,794,079,781,062,527,127,112,195,231,048,368,
011,470,945,178,261,423,827,043,886,394,239,723,636,040,964,842,919,148,255,
572,259,824,385,181,185,782,141,271,404,319,353,525,448,517,221,243,511,223,
138,983,644,581,202,989,089,637,583,536,285,303,586,494,190,943,915,291,842,
463,007,836,517,322,590,401,409,828,350,035,251,997,005,334,284,985,968,343,
612,347,260,847,563,386,413,654,038,921,714,844,629,522,492,373,396,151,780,
117,256,122,900,736,522,075,500,084,916,004,759,397,141,506,927,535,167,202,
207,636,507,699,493,458,624,673,707,474,499,716,328,984,113,344,412,140,036,
237,212,632,695,686,164,216,391,480,870,246,844,413,244,668,037,703,486,193,
931,203,747,850,328,800,148,830,294,134,649,161,647,862,603,932,435,475,162,
185,704,452,145,280,859,948,320,077,566,635,684,142,419,049,600,966,277,818,
087,607,846,778,878,369,506,307,042,881,510,898,095,157,486,152,611,073,761,
627,012,897,409,459,308,387,819,900,241,743,295,613,242,971,808,943,034,393,
158,047,072,915,521,842,350,948,114,933,962,936,417,333,213,484,131,184,913,
022,382,099,351,307,725,968,302,150,924,586,511,523,889,763,586,818,775,232,
223,694,851,903,176,654,667,960,389,754,179,030,033,813,285,297,746,734,685,
865,907,667,190,068,325,230,633,249,559,772,243,120,858,610,734,550,568,891,
133,569,945,450,791,019,673,941,739,286,483,487,651,025,243,046,761,247,647,
860,251,227,564,389,381,899,547,140,775,017,571,524,530,850,485,908,070,527,
341,014,580,455,641,140,708,995,414,048,151,079,325,694,057,691,245,231,778,
206,367,698,329,322,168,216,794,475,485,504,585,402,018,371,081,000,165,366,
780,652,305,406,314,546,167,521,779,228,344,867,393,899,043,534,967,481,354,
167,059,790,352,263,567,757,009,206,653,736,006,808,568,973,539,415,729,303,
257,183,416,693,467,212,818,233,277,797,839,215,257,657,326,937,844,974,407,
544,127,940,867,228,534,705,843,473,350,254,138,308,339,158,281,763,792,459,
565,713,373,399,300,584,534,351,274,792,573,553,814,895,008,635,904,557,688,
322,952,791,883,743,637,657,394,565,079,590,718,006,832,343,367,408,082,412,
522,866,691,627,164,098,664,543,738,062,913,356,479,422,951,791,999,444,896,
744,401,807,458,041,472,527,582,966,514,045,298,515,879,440,308,796,354,755,
164,557,315,427,028,349,246,746,712,082,174,045,638,729,028,673,245,861,387,
768,847,052,054,974,504,231,264,549,144,001,720,094,818,644,001,192,003,980,
339,002,629,091,536,787,859,182,393,861,185,424,562,670,061,218,668,924,999,
829,317,426,034,560,103,873,223,466,724,143,811,756,116,412,215,932,851,834,
492,306,782,293,300,242,306,802,680,876,355,754,440,547,758,756,659,480,404,
102,173,469,035,791,511,169,525,937,500,215,178,070,071,449,102,465,529,597,
310,351,405,354,379,861,381,668,411,318,363,114,948,006,167,567,957,240,911,
766,170,537,573,916,949,799,407,752,127,516,553,350,243,931,424,848,785,568,
433,794,738,131,978,899,959,830,764,689,452,333,407,022,743,979,225,295,620,
412,191,511,580,257,305,938,589,157,588,451,707,940,164,632,807,983,280,350,
190,146,854,855,840,050,587,590,768,801,137,902,157,409,731,939,985,551,741,
007,369,496,873,476,158,382,551,293,815,637,963,323,254,189,358,536,735,468,
976,673,368,326,530,947,789,683,666,236,297,029,570,354,429,608,317,741,714,
024,615,088,040,420,932,611,227,229,892,623,333,779,302,874,808,082,565,090,
322,685,366,718,844,431,772,790,063,560,253,446,879,116,657,090,547,983,745,
511,425,862,002,036,021,553,015,026,680,348,203,901,734,608,669,380,450,991,
216,897,679,079,390,178,625,215,895,604,810,262,367,884,906,027,737,907,194,
827,944,503,597,123,935,274,028,705,887,417,408,599,004,992,130,205,080,074,
690,984,247,668,053,706,788,792,445,153,926,028,906,171,611,109,719,828,044,
744,919,719,251,389,158,177,694,179,999,146,122,412,017,637,313,221,402,593,
292,767,137,691,832,388,983,468,134,540,146,000,026,832,688,537,892,706,913,
432,779,161,635,112,505,681,389,376,062,049,790,559,862,800,231,631,535,455,
987,259,463,321,696,450,497,700,608,786,369,874,022,060,569,498,463,882,603,
291,565,077,781,138,021,070,443,019,871,483,710,674,783,120,963,287,830,712,
998,566,898,324,266,277,093,111,796,885,372,097,214,082,299,984,987,145,807,
889,809,756,451,756,671,408,555,651,607,374,070,268,993,490,663,948,241,563,
178,396,197,079,777,584,028,813,972,745,187,658,164,183,043,240,384,532,643,
824,432,744,399,912,607,767,321,713,292,807,207,189,108,711,202,884,983,292,
184,440,231,851,203,751,198,092,039,011,110,825,697,067,128,066,478,595,346,
896,362,185,126,222,535,871,404,824,693,198,523,432,938,888,447,352,836,260,
298,311,659,463,452,724,422,561,345,629,074,734,244,271,143,870,722,318,470,
691,495,966,483,579,754,022,962,164,288,906,642,579,404,821,663,403,446,072,
374,798,489,134,696,572,361,582,238,945,489,025,495,484,695,323,094,463,147,
784,464,294,820,706,510,305,529,940,582,141,743,779,154,732,174,698,748,609,
408,608,977,631,811,431,846,320,854,460,005,041,798,142,326,259,336,539,926,
734,797,253,931,940,644,872,806,035,002,827,335,578,567,547,883,157,834,871,
482,067,374,737,204,166,984,286,209,743,658,292,262,979,797,643,567,887,083,
749,126,098,416,796,361,568,782,076,042,296,740,896,785,143,064,209,085,458,
303,743,987,262,486,216,794,109,115,437,192,053,616,475,738,274,439,502,809,
464,476,127,960,853,123,271,836,759,332,577,098,200,687,810,217,259,010,541,
491,370,785,944,924,423,308,254,526,890,138,246,228,687,375,119,238,934,599,
165,417,540,218,056,611,741,210,377,618,925,317,296,713,778,952,930,608,147,
850,365,202,303,854,271,418,644,310,709,265,872,040,368,726,260,188,002,796,
399,175,194,551,689,649,079,968,896,690,127,050,614,939,246,185,935,939,054,
181,292,337,318,332,240,050,758,968,073,950,228,062,117,114,310,456,541,310,
339,264,242,088,861,215,994,263,753,282,114,133,773,122,692,107,905,229,637,
282,595,903,491,798,109,744,105,158,182,398,809,808,277,547,189,875,446,379,
525,217,158,752,390,256,316,424,341,411,922,263,259,280,655,261,940,230,280,
353,246,752,895,023,973,075,723,173,398,991,613,854,820,474,373,878,106,711,
305,687,584,860,768,228,431,001,606,564,346,752,411,116,635,211,895,988,729,
928,447,258,290,636,374,861,799,757,909,220,416,078,183,723,429,470,951,303,
903,902,974,417,195,550,260,963,999,607,288,100,251,365,399,648,925,078,106,
747,224,257,767,095,997,151,467,314,398,741,961,697,070,586,844,802,348,080,
154,263,561,831,390,528,229,873,150,936,478,854,713,814,817,435,237,473,745,
873,228,816,442,902,509,727,890,868,652,861,241,641,642,198,843,293,464,696,
784,284,182,781,541,601,312,834,756,162,350,869,101,275,502,596,446,046,061,
225,128,041,410,207,584,909,022,513,203,166,634,199,283,618,828,564,618,822,
927,608,537,141,907,693,032,391,462,313,436,067,637,963,361,358,105,346,583,
774,573,582,007,420,454,795,029,258,902,102,859,171,754,660,731,739,781,071,
112,001,709,920,023,026,756,431,090,761,218,016,512,506,019,934,961,179,008,
927,070,006,194,720,768,855,119,000,841,535,245,645,016,063,419,029,899,586,
140,460,756,061,432,968,503,679,563,421,452,007,905,889,652,853,484,673,059,
017,035,221,519,266,437,605,913,870,365,204,007,135,840,388,481,425,371,266,
489,219,940,075,299,931,847,732,893,978,121,770,280,293,551,251,486,067,462,
998,328,258,907,527,089,954,152,434,625,117,086,583,412,421,121,759,386,868,
239,581,024,934,455,175,655,167,935,486,241,703,266,332,702,072,479,408,335,
934,373,010,859,383,173,861,371,637,607,907,463,478,466,779,498,548,643,134,
356,982,372,174,529,246,218,841,769,880,366,808,032,871,177,862,802,762,126,
059,290,030,026,371,589,016,427,819,022,530,052,804,904,965,842,808,896,711,
902,228,682,841,687,497,053,524,721,765,703,105,397,124,991,550,939,286,010,
009,597,460,566,381,739,630,488,282,195,391,289,978,507,804,040,440,532,425,
398,820,522,945,431,660,764,172,160,776,484,075,112,040,300,528,186,244,217,
270,482,652,270,105,281,051,858,094,682,614,699,591,355,319,833,653,146,526,
348,603,768,598,452,267,196,390,388,865,367,471,672,039,306,102,932,186,798,
089,910,751,128,561,876,718,037,320,141,768,393,286,586,050,131,560,782,363,
539,248,928,445,483,300,781,071,137,215,097,243,555,975,914,524,702,874,759,
436,412,909,993,377,766,612,759,559,222,455,074,316,730,186,212,379,428,786,
045,012,233,303,190,712,901,098,225,942,393,150,454,790,341,033,861,838,707,
410,879,836,839,457,124,014,159,518,142,520,292,212,243,716,011,671,112,396,
522,579,802,537,079,733,329,601,821,023,806,382,496,108,109,053,913,537,186,
745,522,721,681,420,297,722,758,461,195,125,650,872,801,303,076,361,386,345,
245,628,346,325,120,438,712,048,994,680,615,746,291,741,710,788,472,729,241,
163,387,742,162,899,330,725,392,605,132,726,557,825,004,418,698,589,937,737,
922,658,509,465,570,327,233,935,946,689,049,990,282,678,431,824,530,444,340,
624,348,360,891,418,688,973,064,373,730,286,295,189,823,954,873,515,551,280,
864,569,776,814,029,173,482,337,213,330,296,272,133,304,072,856,424,735,654,
273,444,984,681,003,514,647,511,349,461,443,901,329,796,996,296,312,549,635,
439,796,885,847,150,381,125,096,542,811,080,733,392,751,052,354,211,200,777,
295,537,837,007,177,384,336,896,670,192,797,001,217,467,170,940,168,809,547,
897,542,814,514,207,279,423,714,772,812,259,435,807,298,271,495,190,236,538,
434,086,299,066,380,749,869,978,620,865,738,306,033,862,271,369,133,193,156,
970,559,539,913,482,629,606,719,004,971,268,738,928,610,480,364,118,055,183,
118,089,216,979,523,597,615,768,802,274,405,974,843,639,466,906,411,257,974,
620,883,047,674,764,730,760,418,560,623,059,262,735,918,926,886,293,749,808,
789,863,274,381,639,887,728,833,708,000,509,530,393,442,973,665,177,837,191,
612,708,593,603,498,449,599,991,787,340,152,826,587,014,919,494,852,557,666,
064,562,202,997,495,510,677,716,248,354,856,262,399,454,525,778,556,873,579,
748,142,073,409,718,971,312,053,304,130,103,349,655,997,336,702,407,678,892,
158,833,033,242,854,438,157,848,099,302,528,496,575,500,454,490,397,877,746,
034,263,854,241,520,128,447,608,907,827,517,046,093,321,666,784,676,281,911,
033,439,227,319,700,846,685,809,732,751,572,028,985,160,469,448,288,940,502,
043,870,757,891,270,992,912,637,315,288,596,546,683,852,501,757,999,038,727,
995,330,342,284,152,012,411,703,657,104,370,358,673,358,285,470,730,015,937,
891,592,175,048,810,923,402,602,928,388,618,603,674,071,571,475,601,785,096,
481,248,114,600,190,198,966,320,464,659,399,288,203,279,667,890,509,502,253,
604,293,404,685,779,504,379,756,693,476,793,929,967,275,788,803,329,594,971,
201,027,157,687,753,049,300,377,139,090,983,647,022,934,726,693,143,964,845,
038,580,187,345,748,573,145,509,564,811,528,017,736,734,216,734,850,680,037,
770,104,301,099,802,154,240,775,537,774,227,001,779,744,230,899,284,551,760,
026,787,467,582,703,756,475,263,828,797,552,162,180,257,638,396,264,365,205,
430,451,369,733,458,372,156,797,882,043,314,896,452,373,682,618,164,117,405,
384,124,132,742,089,349,709,742,398,058,180,550,814,197,422,874,254,282,897,
458,259,142,161,946,759,572,723,397,497,516,681,517,493,810,711,072,087,956,
209,522,491,177,589,662,359,078,486,271,409,515,784,017,143,066,909,824,919,
620,187,731,098,341,813,834,251,739,579,154,316,022,662,346,728,382,414,887,
830,992,734,243,369,980,319,191,610,221,003,335,561,894,118,960,123,407,154,
364,053,995,136,647,361,692,735,596,786,368,970,848,550,845,236,817,043,454,
729,218,310,874,032,571,182,877,513,115,235,054,465,509,720,534,046,638,496,
099,747,475,505,103,081,857,449,780,152,477,487,310,494,195,473,537,600,079,
238,661,212,577,289,561,176,068,284,236,483,320,803,107,619,734,655,854,261,
745,538,777,361,978,961,522,829,318,933,437,941,771,422,694,057,472,244,058,
359,731,941,163,481,340,836,176,315,556,513,153,941,077,761,282,288,517,370,
670,921,967,980,951,618,170,615,546,766,814,553,113,524,851,123,513,511,542,
905,794,510,239,892,062,226,773,733,840,338,437,868,832,173,508,023,518,465,
119,256,277,751,682,012,690,826,849,395,425,708,552,137,539,716,024,139,630,
376,979,453,911,027,416,172,067,572,814,930,474,007,747,279,049,308,252,847,
157,587,860,375,277,974,762,151,934,655,591,941,253,306,005,919,185,151,740,
498,916,444,758,453,290,003,582,621,919,741,325,507,177,335,960,241,720,451,
011,271,686,704,301,298,829,000,142,236,277,669,983,509,251,268,558,648,478,
619,459,922,794,600,357,383,149,802,970,040,638,608,638,928,004,109,613,705,
539,017,889,424,052,849,871,815,996,534,404,533,817,084,774,818,107,817,356,
128,127,165,651,164,874,496,158,593,261,894,544,020,051,297,325,773,482,710,
615,225,825,110,131,759,977,649,437,429,589,426,478,737,619,307,717,396,670,
648,268,579,234,519,241,973,239,478,025,142,590,480,424,379,957,998,643,526,
920,146,357,801,981,929,264,675,921,924,179,492,425,320,875,733,101,932,186,
693,462,775,021,266,648,669,886,016,750,354,387,499,428,868,491,522,965,695,
319,914,260,836,949,957,964,587,526,061,930,407,879,353,164,523,149,239,411,
166,352,159,073,316,324,657,386,230,928,190,805,711,177,837,975,854,391,550,
726,061,648,816,977,453,270,894,239,592,836,961,686,441,666,116,097,696,705,
969,957,773,299,609,158,002,576,238,700,749,644,737,280,320,696,968,994,267,
002,927,505,344,068,080,820,069,256,122,572,261,753,885,309,452,857,884,880,
060,754,445,517,569,859,993,543,980,193,455,276,681,642,392,314,506,787,345,
941,210,113,418,399,595,376,427,889,325,770,916,414,921,205,183,228,564,075,
391,779,384,801,628,903,917,386,140,397,710,026,469,079,460,005,381,978,781,
581,607,243,282,844,175,499,061,803,421,888,458,978,240,001,633,902,698,439,
482,648,326,106,488,839,919,730,099,671,537,019,999,917,150,726,646,190,694,
033,306,665,678,488,136,984,215,160,896,108,256,875,631,400,666,294,971,512,
242,082,487,373,920,799,524,113,745,799,919,706,051,405,522,497,631,459,773,
607,248,159,286,195,820,099,157,353,497,733,733,361,574,808,902,792,813,584,
510,447,817,033,263,519,768,555,500,473,366,634,985,118,480,163,113,750,133,
744,722,748,321,260,025,700,093,439,218,614,199,920,207,257,906,432,782,954,
531,572,372,058,213,967,171,230,313,615,560,953,445,548,427,206,708,514,436,
152,984,565,150,123,641,996,153,180,593,921,182,401,753,948,183,876,764,833,
932,360,896,555,727,390,799,769,153,686,808,328,925,456,784,432,630,698,970,
435,355,654,540,651,989,686,789,151,465,000,658,734,734,201,770,133,035,848,
420,922,923,443,186,661,738,692,277,472,258,023,384,324,760,690,504,233,997,
570,683,994,611,319,514,051,755,716,637,735,315,579,277,788,814,004,751,662,
709,311,607,693,136,387,052,023,497,993,397,878,624,116,998,224,327,884,957,
104,521,690,199,930,019,226,734,662,588,495,655,288,803,655,799,720,262,839,
069,426,564,320,118,953,275,615,443,706,487,905,681,263,302,037,312,001,789,
078,955,122,472,546,893,340,660,856,762,147,762,632,052,987,418,985,971,713,
833,619,690,611,560,717,318,251,853,941,174,809,926,506,752,511,835,051,801,
455,831,484,073,120,297,876,978,391,282,570,896,383,782,238,416,853,345,499,
976,409,050,564,443,854,091,644,309,023,980,002,588,195,944,124,236,425,724,
191,791,919,510,588,505,940,135,597,078,583,791,957,386,244,020,912,046,357,
059,088,007,605,813,823,002,794,726,368,519,418,505,645,866,271,160,230,726,
169,496,374,025,256,746,811,534,166,776,779,299,093,273,146,924,461,454,990,
007,380,938,857,060,470,455,164,462,811,736,793,641,907,726,983,760,550,548,
028,757,247,615,453,528,478,408,860,819,535,492,547,512,344,683,005,487,814,
932,502,022,250,871,272,641,480,566,804,561,522,487,330,220,623,288,247,622,
571,223,841,526,490,147,440,825,436,492,024,157,988,865,816,615,178,536,941,
513,124,564,064,762,605,933,750,465,065,177,457,333,811,720,525,395,038,045,
314,660,064,343,825,093,635,492,651,983,823,032,738,499,632,359,309,014,415,
505,759,637,563,926,050,792,886,447,957,137,115,025,646,213,854,675,985,816,
768,181,283,431,415,786,516,952,965,616,838,322,333,686,532,496,254,399,316,
737,906,229,912,663,842,539,941,654,685,275,673,803,743,110,012,424,652,877,
194,832,515,048,887,228,226,630,841,203,029,431,800,903,935,851,791,469,823,
159,790,471,151,911,419,198,281,936,553,864,336,811,032,559,063,212,402,617,
550,221,222,679,129,065,840,272,179,755,648,631,542,402,511,858,142,296,177,
151,041,386,284,584,290,302,981,602,567,684,233,214,637,435,155,878,931,621,
837,007,123,086,768,819,776,683,394,759,765,839,363,056,700,936,047,637,966,
715,988,308,672,828,099,419,030,358,812,582,130,008,045,021,050,264,300,196,
048,755,210,230,886,800,473,458,648,837,529,020,282,291,506,259,702,695,040,
790,785,473,723,312,869,246,879,735,018,999,673,541,513,939,423,222,655,369,
461,533,414,677,354,232,130,382,934,360,026,411,666,200,374,541,390,407,702,
170,059,485,252,004,105,482,928,903,615,602,041,268,103,150,064,724,748,534,
916,505,474,764,085,618,166,807,981,124,323,949,568,432,476,132,333,115,044,
326,156,263,576,693,567,935,102,109,659,472,282,045,343,639,839,201,738,516,
262,711,777,560,380,159,752,254,569,360,584,900,860,779,574,741,470,212,944,
385,275,351,137,672,437,160,978,712,471,292,195,108,854,319,370,278,525,499,
468,548,279,204,302,873,024,807,977,542,032,919,641,356,350,142,005,383,645,
806,362,776,718,311,627,514,414,875,833,525,110,284,261,510,174,873,053,328,
215,861,240,867,510,612,670,077,037,000,636,226,401,746,771,856,057,340,853,
518,825,662,946,732,180,809,657,311,248,460,846,201,411,088,646,297,412,380,
380,856,082,345,376,555,780,694,335,135,109,449,314,882,471,655,458,087,826,
229,080,699,307,326,317,361,685,427,371,611,790,128,974,398,792,755,247,304,
854,699,754,809,792,869,383,052,325,070,500,653,812,484,181,780,250,708,751,
977,977,089,011,701,722,473,181,524,090,537,994,751,042,697,201,104,955,244,
155,583,462,576,009,733,679,745,524,836,281,176,687,740,863,315,210,673,807,
898,115,166,236,390,867,505,785,173,277,729,187,239,657,963,357,046,581,807,
476,757,473,190,034,505,801,842,319,170,867,717,948,253,190,319,572,630,536,
389,545,061,365,433,628,620,633,644,791,955,363,351,647,840,834,849,312,194,
121,669,414,869,630,970,468,090,595,562,209,836,010,386,312,512,452,522,717,
627,698,881,977,564,530,727,069,026,131,728,501,133,377,639,651,762,908,891,
947,982,141,456,374,075,919,023,548,944,082,386,504,784,243,089,388,089,247,
236,726,289,340,363,285,308,659,254,598,923,786,710,167,139,911,751,832,179,
049,204,714,421,084,509,426,060,427,050,208,978,610,435,611,365,138,660,304,
038,798,124,579,563,637,250,168,795,921,436,666,712,441,524,888,334,992,722,
045,803,636,978,845,244,973,957,746,275,146,765,630,413,542,809,597,517,187,
365,585,595,830,932,567,131,609,929,686,067,257,045,681,622,254,013,025,311,
389,514,080,018,619,350,160,278,913,381,958,288,387,912,573,507,749,911,380,
479,687,976,615,381,755,689,172,567,741,870,087,602,946,182,242,517,885,957,
999,960,041,932,575,834,630,971,457,965,999,261,749,310,133,610,662,224,734,
129,879,203,376,328,885,784,337,171,114,128,028,022,132,495,009,582,763,307,
871,101,765,686,405,955,020,863,511,532,488,213,039,763,526,110,531,955,898,
197,847,165,322,951,491,028,387,834,077,467,535,419,004,866,948,007,167,639,
256,366,854,302,536,253,958,425,272,705,042,435,768,481,025,839,427,898,821,
430,438,170,809,646,222,107,696,079,850,606,348,667,561,728,944,342,620,554,
515,500,610,269,539,140,797,062,349,781,027,696,762,811,826,825,954,438,502,
457,005,559,973,189,943,139,193,043,403,615,949,861,004,302,367,674,180,201,
244,633,047,765,566,706,047,783,551,267,439,112,772,871,253,970,273,935,313,
727,174,761,746,705,811,000,163,078,901,660,728,068,588,828,425,828,051,411,
082,550,609,993,495,893,522,872,241,473,277,796,852,361,838,670,387,820,687,
683,253,411,125,412,448,727,317,722,631,284,754,684,338,495,856,784,350,495,
133,742,285,352,440,634,227,310,139,080,867,454,710,257,529,636,619,528,979,
760,654,026,337,000,144,585,231,903,052,764,439,750,742,038,510,052,596,413,
573,114,624,932,422,621,618,229,143,746,492,184,176,225,735,068,595,685,121,
963,756,847,724,446,308,742,884,418,124,855,453,720,815,864,905,074,919,332,
161,009,042,833,175,336,836,152,931,001,749,791,266,611,303,434,453,310,811,
219,630,890,406,857,832,979,888,661,355,783,610,490,477,159,456,192,791,441,
203,667,929,120,923,614,127,260,788,907,895,471,348,421,595,107,769,888,142,
498,147,860,360,940,416,326,393,431,068,461,708,836,837,265,912,430,769,620,
646,423,715,098,165,865,725,297,877,965,198,496,178,950,770,458,101,233,904,
210,485,015,090,061,806,246,648,613,241,077,437,826,310,665,554,654,691,964,
898,501,320,602,695,305,372,220,750,947,216,590,030,204,484,840,596,032,693,
337,118,691,263,294,461,953,755,377,056,937,640,231,605,247,476,450,084,349,
193,702,673,547,501,919,946,338,569,869,223,798,806,072,409,349,579,512,667,
068,051,115,045,132,724,854,491,756,370,782,208,786,713,639,525,466,365,428,
178,307,784,515,638,519,826,253,654,093,563,387,073,266,618,387,447,470,936,
919,417,032,600,512,932,929,057,585,988,911,537,053,005,235,481,194,882,604,
206,892,486,768,992,045,253,532,728,698,754,346,226,663,077,310,236,280,558,
965,989,357,390,617,308,979,621,182,930,744,577,448,907,651,157,453,775,308,
040,378,562,351,860,341,243,852,330,803,885,206,123,355,325,424,654,810,904,
375,324,038,299,253,041,880,411,546,400,136,888,387,281,281,851,935,323,984,
357,859,754,082,229,448,398,388,049,729,790,628,703,177,302,766,716,741,950,
510,460,038,195,360,606,461,003,801,284,733,180,388,945,364,488,247,094,712,
970,585,757,142,485,499,106,033,209,673,494,239,858,662,433,407,279,873,581,
268,521,693,173,169,634,698,588,641,080,850,994,677,669,382,503,613,051,082,
308,275,864,349,251,807,092,704,141,478,001,345,023,380,532,860,203,425,093,
615,334,502,597,617,527,237,921,608,858,344,468,763,607,443,906,648,881,135,
658,257,225,070,852,651,184,585,107,980,712,873,612,175,716,141,036,500,373,
492,017,492,221,424,588,190,057,786,869,920,229,435,056,976,144,091,310,579,
608,780,827,838,002,320,232,167,124,919,640,870,877,741,645,171,569,075,903,
857,976,748,212,009,170,843,402,694,883,369,527,290,776,798,600,313,296,202,
110,680,188,952,353,818,607,166,978,439,198,399,508,147,971,316,611,504,834,
258,319,750,634,479,239,268,611,898,378,030,012,229,274,500,014,152,872,656,
365,404,935,332,849,667,695,269,423,460,948,217,870,702,235,383,488,182,484,
720,507,230,206,143,964,204,880,091,467,553,385,380,297,780,565,549,671,696,
745,547,579,859,890,894,195,471,007,973,069,404,511,743,997,817,305,742,507,
810,365,119,573,745,904,147,307,369,464,260,211,487,483,325,225,662,011,909,
815,716,409,108,948,099,313,409,918,655,191,881,163,941,739,391,375,377,289,
110,998,409,550,836,481,814,688,592,907,359,932,513,697,552,993,327,005,036,
222,953,544,689,002,707,191,357,736,676,512,718,226,782,279,454,405,638,883,
508,718,256,381,413,338,661,093,972,403,750,156,420,694,556,022,512,755,074,
389,070,163,362,480,656,016,306,716,325,622,938,448,416,761,734,056,868,242,
835,084,455,793,277,477,617,290,012,941,141,414,286,374,135,653,921,755,854,
371,053,286,327,381,297,247,653,049,332,337,426,342,845,056,323,474,879,668,
846,768,748,830,556,891,152,220,930,847,797,079,812,507,366,370,083,581,368,
822,192,687,578,077,676,795,259,064,686,197,326,565,856,274,174,215,342,293,
547,801,205,411,775,934,474,623,840,425,585,407,814,162,850,750,135,423,060,
303,074,146,767,342,555,742,341,199,156,001,410,960,549,558,807,924,068,809,
914,243,050,063,276,055,711,419,802,709,986,570,606,038,891,653,265,868,703,
166,642,995,690,463,348,620,457,879,706,967,293,468,733,669,830,348,542,582,
182,254,527,878,784,494,229,646,398,069,289,247,659,449,106,894,596,312,081,
702,266,009,390,524,996,021,555,829,799,954,278,561,379,929,914,784,656,590,
118,965,486,446,534,080,791,683,475,249,269,237,333,235,936,994,575,599,497,
485,078,858,568,123,027,643,910,516,466,298,242,590,177,731,289,407,658,592,
675,929,505,355,056,684,822,107,096,492,197,742,400,601,092,736,137,282,792,
296,911,072,956,119,994,360,514,326,885,032,340,661,145,024,096,905,901,103,
907,613,626,404,567,964,384,195,912,438,128,790,591,841,574,045,199,924,182,
011,421,870,580,466,770,934,697,668,655,844,513,366,487,239,882,731,180,923,
812,398,881,478,485,535,230,271,349,857,260,381,675,476,726,705,338,914,190,
113,969,111,566,805,228,595,316,296,830,642,384,478,433,134,713,554,356,405,
512,963,514,910,236,797,377,483,349,371,407,068,371,631,396,525,031,866,406,
533,205,141,780,444,800,973,023,567,954,984,956,393,859,502,339,429,155,503,
114,898,208,237,599,259,074,502,302,443,572,979,389,057,694,349,182,740,297,
754,881,956,781,500,963,338,928,690,985,123,386,397,594,651,019,368,807,856,
712,523,452,702,908,433,508,348,584,759,033,304,069,001,369,409,018,868,882,
703,623,675,733,293,583,925,388,865,739,762,630,158,925,256,834,490,362,895,
562,804,129,429,280,303,764,630,485,716,524,818,718,690,188,262,126,581,948,
532,398,993,320,755,070,796,842,406,447,015,646,892,785,284,891,925,563,108,
866,161,942,050,287,250,379,495,680,420,733,165,798,820,083,543,638,436,212,
864,940,560,566,674,218,097,285,835,443,050,859,141,858,766,276,623,509,596,
057,899,813,208,004,453,842,451,250,474,307,848,567,029,400,125,085,814,282,
237,610,353,153,115,676,145,133,028,086,198,337,302,974,854,193,340,690,159,
504,927,638,582,918,415,088,301,184,704,462,675,231,166,713,204,566,297,507,
196,202,780,174,765,169,565,273,599,739,789,906,393,232,817,537,046,030,223,
275,635,161,666,153,782,688,623,122,293,276,579,940,494,966,638,910,278,443,
506,896,654,994,108,846,979,321,456,356,655,275,225,417,117,967,110,280,255,
040,479,694,549,650,713,755,012,178,385,577,610,614,931,186,647,442,452,663,
238,045,948,814,796,219,994,553,214,754,983,998,268,470,083,937,535,262,268,
308,812,105,335,316,188,950,702,138,173,402,744,885,909,941,652,503,630,746,
397,152,389,331,463,665,736,425,084,679,709,797,001,520,137,877,008,069,040,
896,784,165,689,296,014,848,453,900,771,935,551,720,104,557,971,089,543,127,
635,974,841,105,209,718,390,050,800,367,966,518,613,459,960,421,422,145,023,
606,437,884,822,712,128,220,923,491,578,597,911,883,710,468,738,931,548,055,
248,452,294,009,473,772,776,937,713,818,361,855,439,717,475,806,857,491,776,
924,210,026,026,821,154,753,684,396,372,207,330,822,898,877,941,148,634,252,
432,323,262,460,681,646,012,690,772,501,205,390,733,514,968,744,784,977,024,
022,081,819,783,894,221,672,969,581,991,968,812,179,535,391,046,523,895,436,
128,361,416,529,849,968,850,400,737,758,967,268,159,907,165,277,420,571,230,
434,688,365,019,039,988,425,813,878,039,868,879,720,661,346,406,150,788,570,
138,107,420,604,900,915,622,658,577,209,356,085,237,810,174,721,888,989,869,
534,714,230,785,990,773,038,060,761,538,847,880,666,822,855,820,986,475,878,
526,180,947,532,697,770,458,866,088,101,869,328,756,585,881,317,281,005,130,
321,406,398,323,310,806,399,383,599,142,105,435,480,664,028,151,193,899,326,
160,060,575,031,812,087,229,477,707,578,071,522,702,410,242,572,476,094,262,
476,782,605,383,000,481,091,935,225,258,806,794,815,715,285,375,681,882,138,
247,721,542,143,752,432,630,820,435,682,464,599,969,552,607,305,721,104,471,
603,722,992,964,991,487,439,425,345,778,856,989,476,030,838,482,924,447,562,
948,607,139,314,351,241,016,802,838,539,221,012,450,895,714,994,579,608,615,
613,278,039,571,858,733,237,561,485,541,019,284,174,756,092,529,485,077,030,
662,894,862,269,933,446,557,871,438,867,371,866,141,489,208,135,543,390,807,
274,159,638,390,910,358,856,041,838,204,726,434,571,245,947,680,546,480,365,
193,774,400,268,224,987,680,789,629,621,301,189,713,604,015,347,346,740,950,
797,677,392,015,940,767,069,518,194,470,367,891,336,973,815,911,517,900,751,
230,775,710,103,285,158,443,583,682,365,356,502,218,929,155,852,130,723,902,
641,812,872,015,789,960,744,257,144,628,970,802,519,734,938,900,006,455,877,
720,240,504,813,213,468,076,899,414,536,557,779,779,539,143,571,462,817,718,
477,648,744,815,096,451,011,130,307,490,335,027,619,524,842,896,949,777,487,
424,271,401,160,503,061,260,259,015,109,197,949,779,509,313,870,176,213,653,
261,440,017,140,333,918,441,699,216,373,747,184,654,414,811,681,758,869,306,
952,224,503,915,897,923,166,848,427,859,175,674,457,736,709,164,413,597,454,
306,608,736,355,546,231,735,806,172,913,456,858,429,502,124,953,453,725,811,
467,427,266,828,451,027,400,491,433,180,732,754,567,458,749,173,573,382,788,
217,851,999,733,426,054,011,088,998,580,450,085,815,961,254,851,832,996,226,
721,118,617,388,626,672,396,427,864,288,409,016,250,915,750,034,240,586,845,
852,838,306,013,747,988,050,986,495,455,281,656,264,186,656,696,687,264,805,
486,977,116,631,508,134,661,841,958,268,665,256,552,886,684,715,597,799,514,
249,471,499,422,905,459,958,765,906,300,671,146,371,495,066,938,162,851,299,
312,695,288,944,984,466,121,449,692,860,073,068,432,976,064,240,663,604,204,
187,336,191,352,821,163,766,018,805,415,303,855,499,744,427,837,487,282,687,
135,599,991,645,925,070,355,851,319,468,200,661,383,395,705,414,326,111,866,
182,750,547,266,251,247,680,860,940,026,310,131,281,783,951,597,324,038,968,
029,213,579,219,003,809,803,945,259,805,756,581,679,124,209,161,038,302,696,
852,164,687,140,734,224,276,884,799,667,546,769,849,170,604,106,521,959,222,
411,308,799,837,681,024,493,528,293,222,569,205,975,333,587,625,523,628,748,
804,217,007,401,181,627,753,878,798,502,197,925,644,327,987,771,812,065,438,
339,169,445,444,758,942,020,597,512,455,845,551,196,243,071,143,143,790,502,
377,179,358,649,566,753,267,608,993,554,951,302,736,331,954,704,431,613,115,
985,453,693,696,676,240,217,952,371,328,794,371,175,902,965,350,318,305,569,
756,641,026,052,131,161,933,798,014,926,188,334,041,767,886,337,630,059,669,
144,176,069,114,886,542,335,787,467,662,520,008,842,241,517,086,692,726,871,
381,633,876,155,775,615,396,601,381,831,574,099,218,871,074,860,700,601,229,
129,920,562,409,974,521,054,073,904,607,449,724,723,085,988,776,795,685,272,
225,797,028,873,668,073,320,931,614,424,134,278,359,202,763,495,134,758,895,
309,057,387,874,669,298,607,606,490,664,714,202,770,096,578,695,672,675,928,
161,913,058,866,133,208,580,743,334,263,960,013,764,141,267,392,265,982,304,
087,489,527,496,232,598,791,442,577,305,250,294,977,475,358,903,735,965,097,
034,087,551,698,714,090,904,965,176,893,943,217,063,316,089,175,087,374,791,
765,141,720,393,974,452,711,212,638,382,371,232,023,423,935,999,154,311,252,
687,946,888,564,017,197,162,191,555,037,085,121,925,749,441,174,030,435,673,
651,701,625,196,513,816,554,760,161,345,179,380,863,351,029,472,906,238,304,
405,379,267,424,119,501,935,451,544,332,284,251,252,921,161,867,445,264,007,
454,955,171,098,930,573,055,008,851,574,283,474,318,463,487,889,040,638,571,
329,727,955,935,467,725,880,364,111,547,387,852,110,666,086,122,057,454,438,
939,496,274,301,342,644,727,564,662,386,382,568,317,265,868,728,256,419,498,
367,112,045,741,904,130,377,708,420,677,303,097,394,753,330,062,178,462,815,
769,935,546,403,948,259,031,125,700,544,653,383,582,740,699,533,477,927,769,
616,734,191,722,815,366,839,119,600,670,756,198,439,919,226,766,714,053,638,
186,771,885,843,021,042,721,629,233,639,863,957,990,225,018,333,232,151,397,
085,658,923,402,275,197,649,101,266,712,399,412,777,942,802,417,903,647,190,
598,051,199,669,585,856,577,017,583,622,763,970,728,474,047,679,518,556,743,
030,838,591,504,752,899,962,575,168,920,384,608,218,157,020,846,547,760,786,
483,235,792,268,635,019,440,239,061,297,376,326,062,648,368,684,795,678,938,
028,105,041,661,959,800,185,519,481,651,013,487,734,290,859,105,078,675,661,
009,622,470,496,489,518,438,632,107,271,571,490,832,167,474,349,608,739,621,
389,584,671,329,413,157,434,389,969,211,885,833,568,474,236,965,710,959,601,
980,682,090,520,081,448,095,877,957,506,202,484,730,864,099,609,116,092,868,
443,921,939,002,652,657,472,202,211,765,069,440,469,784,823,527,041,777,626,
037,456,289,238,435,592,077,854,645,749,807,188,915,458,959,317,966,085,665,
396,693,612,724,692,848,292,717,103,855,584,454,193,471,967,715,313,366,469,
779,859,490,627,888,881,522,216,310,900,048,023,334,412,630,257,456,778,692,
577,394,959,312,249,005,320,518,490,605,252,625,488,982,193,984,746,597,993,
925,921,133,867,440,959,935,611,802,322,989,109,068,518,259,071,117,051,061,
890,256,241,549,567,750,099,523,037,231,216,737,017,642,120,059,551,546,597,
339,437,742,822,041,687,184,351,144,991,407,314,987,391,981,015,885,795,996,
551,993,468,399,009,241,179,434,291,634,867,583,505,666,080,960,502,659,321,
489,774,049,125,957,826,084,801,359,544,413,907,788,901,283,710,786,023,727,
833,083,121,623,161,173,050,564,787,991,066,609,475,874,625,377,364,133,573,
414,476,809,386,441,357,827,758,697,843,082,128,397,894,437,103,337,629,320,
085,731,025,516,266,920,478,035,929,476,938,154,518,820,004,992,764,488,213,
347,305,104,101,998,217,216,048,859,808,538,225,094,541,327,192,053,169,663,
235,432,990,046,634,663,534,018,339,281,532,327,710,730,074,763,058,807,135,
818,568,084,700,252,209,711,997,560,031,051,828,553,411,915,341,376,385,352,
404,905,626,940,361,096,529,898,894,234,485,279,447,678,071,764,863,837,378,
410,357,090,343,428,498,111,975,648,807,449,021,179,124,538,205,004,656,207,
937,138,339,239,548,787,527,262,657,782,215,583,810,838,928,933,004,279,298,
232,081,708,214,238,195,486,510,820,135,629,922,664,454,926,008,224,603,799,
230,338,407,266,240,529,658,311,401,619,056,648,543,683,464,543,528,621,643,
831,429,136,968,714,236,347,382,073,217,442,742,531,407,396,644,146,791,067,
780,326,656,555,111,430,205,188,179,211,986,495,010,632,493,976,826,964,156,
508,270,666,536,637,221,096,497,822,347,600,153,903,395,004,160,464,919,170,
610,650,718,532,509,651,199,940,880,259,726,259,534,523,635,801,684,882,352,
897,710,630,787,926,331,956,169,975,610,629,503,741,888,168,843,628,248,209,
178,843,132,994,355,656,599,852,560,076,215,126,276,237,199,915,647,026,083,
830,762,804,806,532,036,204,917,382,616,391,071,839,819,835,487,506,614,962,
932,871,659,125,014,267,137,025,726,480,090,459,815,708,536,432,740,891,341,
185,280,909,827,043,437,643,482,964,344,330,311,295,712,219,058,539,987,761,
346,380,811,313,612,769,227,097,078,649,861,699,917,563,769,246,381,724,081,
232,873,520,529,926,121,162,188,806,249,658,264,119,922,969,900,744,055,130,
716,870,932,929,711,683,922,051,791,285,702,376,425,399,394,053,570,514,378,
739,248,681,730,321,081,374,682,065,110,682,831,669,318,258,711,326,191,177,
366,337,484,744,220,287,480,230,290,550,460,296,995,056,490,877,657,205,123,
043,063,792,683,053,536,749,538,374,149,634,061,619,905,995,972,625,916,438,
786,859,347,143,040,929,069,016,005,115,532,086,706,213,807,106,681,729,803,
899,022,249,472,595,270,328,917,273,493,922,173,558,378,539,812,153,579,427,
465,623,523,092,568,235,118,582,408,185,782,587,797,670,951,204,577,242,446,
568,359,887,731,132,552,537,367,414,564,486,010,320,829,221,964,987,939,757,
962,501,419,375,202,140,215,215,868,569,988,322,434,188,181,578,983,114,096,
419,745,608,352,025,569,173,680,257,109,304,721,596,438,967,640,962,285,650,
952,460,620,918,849,529,835,583,906,861,369,693,828,049,734,995,379,284,156,
635,749,151,674,046,562,672,480,101,296,946,838,913,588,410,204,224,048,110,
933,850,453,090,986,443,073,588,236,063,335,379,967,045,638,995,993,953,588,
440,035,692,224,044,941,069,239,727,857,749,692,509,303,531,336,686,330,849,
705,568,020,649,033,131,274,939,566,406,503,880,751,341,589,166,362,159,594,
806,714,279,582,027,179,767,477,081,452,781,153,201,124,922,911,746,303,753,
690,055,402,059,046,603,770,886,281,037,365,602,892,601,905,461,433,399,026,
755,804,229,764,301,824,802,665,419,381,981,093,486,133,161,611,801,876,200,
187,210,657,073,017,265,833,945,612,935,817,138,678,144,845,372,264,863,884,
062,097,312,622,303,145,418,402,985,700,253,910,273,114,334,294,367,630,899,
814,968,923,586,486,707,978,781,169,271,648,198,271,727,888,405,443,368,703,
828,023,450,421,018,309,438,263,622,749,575,367,676,220,431,521,863,936,814,
316,985,937,327,176,750,250,572,184,316,427,009,973,792,176,726,016,140,708,
132,434,148,548,167,739,880,398,582,552,734,848,755,405,668,885,712,610,918,
708,303,316,958,017,573,437,267,488,343,037,462,694,077,152,258,673,073,298,
386,008,290,953,128,359,603,913,840,298,470,515,313,271,030,378,741,908,307,
771,652,257,227,755,133,007,849,147,487,634,180,470,900,674,607,459,079,943,
533,936,893,043,662,238,611,597,444,915,731,949,012,912,772,949,743,902,373,
851,926,125,865,720,698,290,151,771,193,514,587,225,160,093,461,432,719,408,
036,014,525,830,599,557,743,575,891,733,795,894,314,802,647,152,685,698,640,
581,732,580,023,613,893,930,026,643,294,707,663,668,100,619,242,626,911,436,
866,429,492,398,670,576,686,797,944,742,551,965,811,389,372,676,628,376,633,
626,355,479,752,891,426,212,413,978,121,591,887,592,165,506,988,762,430,199,
781,841,267,842,910,818,357,353,514,603,337,642,976,441,713,271,919,451,594,
846,044,616,604,094,240,733,305,177,145,977,950,954,453,262,955,488,239,988,
146,917,341,525,138,351,179,351,750,249,703,771,940,916,705,588,447,108,991,
463,947,826,959,126,435,258,886,219,358,401,973,749,282,025,042,693,294,201,
968,868,109,841,923,827,355,437,626,793,932,099,057,566,647,979,297,346,205,
874,767,766,478,676,008,513,521,508,445,585,533,466,048,640,151,064,281,063,
834,895,409,530,019,053,066,108,206,453,526,169,684,163,517,081,166,400,117,
441,195,382,125,576,757,187,444,644,908,544,703,452,895,825,960,932,883,454,
403,122,836,795,215,559,203,271,201,444,506,327,271,514,804,561,343,451,074,
991,446,595,926,222,929,736,907,509,541,920,830,640,056,650,905,379,274,945,
943,325,302,011,928,920,086,488,072,477,876,654,754,675,179,997,174,079,670,
608,868,321,607,962,567,852,687,872,572,136,795,463,916,875,163,746,712,949,
127,385,086,029,083,988,043,366,859,330,184,782,737,654,571,703,337,686,180,
574,527,309,189,345,211,749,493,581,233,539,874,690,032,604,711,132,686,690,
439,034,085,967,972,131,081,661,596,014,067,392,527,630,224,155,683,576,714,
523,846,180,155,670,064,149,527,471,073,911,798,332,865,472,993,189,404,333,
717,900,728,668,934,106,367,432,456,880,520,334,138,282,576,078,242,895,510,
862,374,393,666,284,697,533,659,545,420,778,230,836,064,848,867,035,132,865,
202,212,282,285,534,294,731,836,818,111,526,572,667,441,253,788,719,599,830,
563,473,919,810,134,826,391,683,517,294,636,122,150,382,095,424,894,797,040,
822,884,218,982,293,287,793,839,000,181,157,030,861,071,818,543,245,725,343,
702,805,210,345,296,835,788,293,111,476,981,142,275,028,713,494,827,716,260,
602,110,099,206,841,046,010,212,438,478,397,139,766,511,496,761,599,944,918,
752,070,107,601,122,451,455,461,986,552,875,474,597,599,958,905,749,094,831,
775,455,958,740,625,693,346,617,904,289,913,317,859,291,355,315,373,321,469,
470,531,605,762,751,998,102,273,074,437,820,112,411,664,833,722,812,351,688,
150,077,090,897,484,257,201,748,735,126,970,464,770,040,087,966,938,892,032,
686,433,018,839,944,858,578,511,683,984,662,012,648,645,462,719,254,784,329,
246,516,211,918,216,036,964,073,818,665,589,540,527,387,245,187,482,719,350,
756,891,654,981,537,699,004,610,586,672,787,757,800,652,240,795,628,965,270,
744,320,960,433,869,206,385,074,990,333,049,554,585,176,856,807,852,020,487,
314,617,076,759,490,125,104,135,174,463,703,933,025,719,922,448,033,247,709,
674,504,465,869,663,426,269,789,257,875,166,630,150,460,909,991,182,122,661,
006,447,186,274,180,505,767,693,707,212,731,849,941,930,535,287,585,507,791,
337,560,249,852,020,054,590,094,848,024,799,020,289,592,686,793,788,974,824,
697,014,851,565,212,097,308,822,730,953,406,346,187,310,876,928,723,457,136,
921,671,712,212,902,893,006,918,292,561,016,117,565,531,975,798,215,420,818,
485,142,396,821,240,294,364,499,579,364,103,469,623,917,757,846,127,582,382,
403,597,818,930,795,737,965,198,722,197,198,770,748,343,580,468,735,145,072,
442,476,355,358,252,909,815,180,819,523,232,579,926,647,225,206,675,753,463,
952,981,375,659,992,362,964,122,119,657,194,198,577,200,964,530,959,377,605,
038,207,587,439,116,302,585,943,592,960,368,763,844,836,968,936,569,559,236,
171,130,875,760,909,657,072,945,117,526,689,330,979,776,184,147,505,696,121,
397,285,226,412,957,210,734,467,084,411,843,334,765,148,531,149,866,786,869,
075,074,381,367,556,710,448,518,586,926,479,169,275,192,025,921,550,332,088,
978,691,205,778,288,536,004,819,850,843,194,275,187,058,495,654,184,980,784,
469,506,239,050,018,707,376,268,199,459,493,545,411,771,584,706,283,519,186,
808,027,901,655,982,523,001,785,778,936,265,451,859,513,356,926,195,209,339,
776,935,103,657,273,265,873,472,169,960,208,545,827,974,982,927,993,443,298,
376,533,866,531,176,542,400,232,001,192,187,983,165,171,299,106,342,203,490,
669,801,937,195,683,930,951,970,859,775,867,822,509,112,362,334,533,890,068,
707,023,023,440,706,590,848,121,303,955,588,214,059,328,283,576,249,805,961,
406,963,273,837,311,089,250,948,509,970,403,603,936,058,732,010,929,394,850,
835,404,339,549,618,535,747,897,457,978,842,672,729,564,768,284,220,843,492,
594,374,685,099,714,959,263,673,218,097,900,218,599,299,346,174,523,401,198,
698,935,805,538,230,584,017,328,176,535,663,196,618,836,189,530,583,517,274,
346,136,771,490,405,949,371,166,050,448,663,378,808,290,063,652,479,176,185,
715,837,635,820,295,900,352,114,491,031,575,848,812,884,792,319,086,664,243,
546,880,123,282,206,048,221,515,966,111,975,961,889,703,899,241,740,442,418,
298,984,754,631,210,960,189,794,259,928,721,642,545,451,650,172,160,063,754,
235,128,449,099,954,475,886,509,233,940,237,148,232,327,613,994,255,333,270,
496,761,868,039,518,962,831,375,301,878,518,552,814,597,612,235,767,947,657,
268,298,042,226,651,525,271,990,439,465,108,769,656,769,024,960,373,043,477,
816,433,025,278,917,784,919,261,778,448,881,592,918,338,068,597,732,015,056,
791,707,932,853,412,059,438,336,779,129,550,609,245,140,075,425,809,434,634,
097,886,168,055,520,265,597,151,634,129,670,705,522,780,223,420,993,237,264,
264,143,244,626,709,858,150,789,354,666,773,558,245,590,152,160,443,833,616,
637,878,166,287,413,760,105,687,121,027,297,699,666,096,109,484,947,788,866,
542,125,381,427,519,759,983,665,167,914,871,324,632,825,793,679,533,691,063,
003,858,229,003,201,471,465,886,502,415,885,939,407,628,644,413,372,044,382,
601,940,356,750,240,536,675,523,722,985,463,570,865,528,749,011,259,778,543,
040,642,751,481,346,828,004,190,003,277,391,250,243,300,163,418,359,353,250,
860,230,944,999,479,172,614,037,176,912,053,978,863,089,474,921,178,259,812,
536,449,396,706,313,438,289,288,833,870,054,662,810,063,834,413,403,646,798,
933,611,469,163,411,515,927,909,240,874,154,759,289,074,708,712,166,700,144,
060,926,599,609,678,712,477,825,275,625,478,349,189,004,222,574,469,391,621,
385,862,253,112,769,944,050,850,443,433,646,646,975,678,341,226,092,200,979,
601,742,423,044,218,591,583,558,899,714,916,670,104,357,354,045,824,479,484,
343,909,838,601,963,396,385,565,958,529,625,193,995,605,509,004,257,015,964,
021,564,030,348,164,243,317,802,961,375,745,690,710,224,549,848,725,534,328,
992,413,156,960,375,756,396,402,462,673,784,553,740,252,507,752,371,201,091,
563,604,428,838,401,132,067,906,419,465,263,908,045,648,650,461,817,908,435,
407,756,712,726,418,986,751,885,770,229,708,167,068,750,844,042,653,523,015,
876,962,473,957,970,290,511,989,952,933,277,208,434,665,671,887,578,154,018,
953,572,512,215,354,533,121,681,958,721,445,057,536,615,450,759,858,885,860,
081,816,941,109,596,052,318,220,558,249,396,576,409,290,807,975,858,420,482,
738,704,671,202,567,748,216,492,481,561,696,366,371,086,898,418,261,413,792,
106,692,411,765,813,200,537,938,991,212,128,220,429,941,426,200,380,368,263,
500,197,048,860,460,202,820,283,374,973,871,873,776,569,884,307,923,349,523,
783,486,337,178,334,070,389,021,169,540,581,743,777,952,078,346,349,814,786,
153,680,963,534,345,972,972,149,890,798,952,464,119,463,333,442,577,733,835,
623,681,415,274,943,867,472,215,520,563,806,479,793,920,318,926,696,359,640,
494,308,389,639,958,274,158,329,493,584,486,559,452,009,947,590,912,241,412,
529,989,645,093,174,707,620,338,015,788,106,616,756,792,004,668,261,812,627,
200,432,237,399,974,769,591,636,578,306,404,952,208,156,606,115,529,380,210,
054,802,898,625,362,739,223,593,818,159,652,512,689,449,522,319,251,463,491,
039,944,720,852,493,365,901,678,716,786,923,026,246,164,140,005,026,212,050,
027,109,910,132,047,846,001,301,704,439,551,393,198,097,448,299,919,230,478,
175,706,515,361,372,589,244,990,767,506,792,067,679,581,074,390,200,900,423,
803,515,225,426,481,288,254,113,846,063,587,767,698,433,449,372,536,919,654,
898,467,628,725,193,131,327,692,964,198,780,361,613,403,575,801,839,723,347,
568,802,258,343,901,513,751,041,984,328,570,669,031,935,617,309,440,891,993,
331,033,000,916,418,278,153,496,669,405,976,712,555,881,081,693,549,075,223,
578,776,284,409,621,376,255,566,518,626,645,933,345,377,336,904,492,586,425,
784,738,109,590,692,167,153,433,857,304,049,511,807,308,078,573,717,827,761,
652,737,919,175,939,029,610,540,407,432,516,374,568,716,373,032,937,029,882,
822,201,870,603,078,789,203,417,023,557,017,645,468,678,083,928,374,317,725,
952,356,741,300,592,264,102,064,860,762,564,939,703,338,130,660,294,764,265,
268,632,636,866,363,541,486,065,143,264,605,063,836,823,704,770,423,590,799,
577,146,200,432,743,767,240,359,403,056,028,651,307,538,609,495,248,183,355,
388,292,159,147,886,482,727,903,403,046,844,129,646,752,857,850,439,925,067,
897,968,152,339,490,080,160,381,061,449,496,787,651,929,144,062,903,827,110,
759,306,221,121,698,897,082,229,016,497,535,002,659,610,804,026,953,543,811,
673,678,890,562,126,240,790,088,780,771,453,794,884,942,966,295,321,196,299,
831,086,330,995,941,568,409,773,021,153,048,688,671,526,332,364,263,813,608,
242,551,223,642,674,370,848,357,087,249,677,881,209,236,820,493,876,776,288,
044,349,980,721,221,440,336,719,009,934,822,149,675,270,771,235,213,607,702,
665,730,822,322,432,017,351,364,255,092,915,674,788,561,503,919,593,423,200,
002,719,850,050,664,998,670,991,385,183,229,272,176,995,437,419,503,777,896,
179,333,995,974,944,716,737,086,406,662,989,114,578,165,713,900,187,892,810,
901,024,565,735,951,903,519,588,344,244,337,973,258,073,562,140,950,584,426,
016,927,118,071,143,644,458,278,885,709,339,393,166,751,254,033,215,026,999,
927,871,916,672,424,754,716,693,004,779,212,912,105,483,242,159,829,546,449,
472,443,637,248,115,902,042,490,166,296,957,227,265,137,239,644,456,022,775,
398,331,513,879,020,671,058,598,760,071,890,761,261,403,161,620,539,353,451,
720,700,447,190,912,324,007,854,744,970,586,049,065,410,474,086,125,159,236,
685,980,190,535,633,316,911,367,377,596,818,696,002,181,083,305,403,673,109,
321,762,431,823,049,903,231,194,884,046,474,817,903,594,180,581,767,897,585,
148,454,279,591,451,637,320,520,629,156,235,072,678,028,459,918,283,262,735,
092,301,099,436,593,311,632,019,305,457,139,383,390,932,534,856,198,528,530,
516,803,810,387,691,848,091,657,457,104,960,569,590,469,098,580,055,761,063,
171,973,362,267,608,716,819,273,561,687,212,305,980,450,454,700,631,408,059,
999,076,102,497,986,467,557,205,729,055,669,230,074,995,735,826,201,632,586,
311,632,671,289,765,737,817,059,650,450,444,237,828,827,960,481,137,456,876,
406,915,653,890,783,590,541,944,916,227,164,648,023,357,314,635,586,921,452,
866,523,405,750,017,012,085,058,736,509,149,623,309,429,195,516,401,664,490,
513,653,202,890,868,603,310,876,629,324,150,832,495,830,327,850,249,712,287,
020,510,864,387,717,771,607,876,617,138,647,959,079,150,506,064,439,898,362,
408,259,370,855,144,575,950,966,578,422,593,769,600,718,793,582,237,323,054,
648,119,925,445,319,301,663,299,827,318,036,241,889,656,295,050,737,783,797,
799,946,708,857,867,477,748,205,740,847,770,912,968,586,605,472,124,487,873,
054,367,096,859,191,499,657,331,044,931,862,789,957,450,849,565,512,174,029,
224,619,893,848,933,250,547,348,955,681,218,491,201,764,182,777,367,833,137,
777,931,014,595,182,100,374,165,576,484,658,412,033,049,234,362,341,856,549,
562,935,086,654,232,630,964,137,359,920,021,088,557,416,712,285,003,551,631,
705,995,447,925,757,045,924,155,942,133,759,878,745,293,655,123,721,270,541,
566,907,626,408,794,170,263,580,466,830,404,698,800,166,682,108,878,819,760,
277,483,888,333,522,895,526,977,810,812,520,691,569,160,728,014,406,343,811,
619,519,668,717,616,452,594,023,206,192,544,841,436,504,642,206,802,459,246,
297,332,097,725,451,352,217,762,477,945,952,676,312,239,202,630,088,404,361,
316,880,333,964,487,990,501,563,004,816,745,503,068,989,203,524,263,277,256,
824,285,394,771,322,490,806,698,467,612,417,589,631,132,221,702,389,852,852,
421,353,983,660,851,140,598,526,863,465,626,013,809,505,388,842,820,380,891,
971,403,524,219,136,678,287,176,368,319,487,385,759,592,813,783,324,626,513,
687,058,875,858,208,295,453,990,874,482,246,142,492,799,178,689,875,952,477,
989,551,919,800,085,193,526,617,076,126,090,187,340,014,354,861,056,197,439,
975,865,091,167,097,932,776,085,262,906,433,165,865,372,256,078,800,848,186,
651,772,486,826,727,759,620,701,932,390,097,627,882,658,161,637,665,740,462,
061,219,895,870,463,124,157,090,107,175,397,986,845,116,658,706,303,698,090,
044,083,065,324,116,478,164,893,779,180,019,018,892,682,988,764,434,724,656,
105,892,041,802,073,054,570,252,790,525,412,633,310,589,465,647,519,016,931,
898,473,340,549,905,308,394,644,533,869,397,572,943,450,594,370,225,850,436,
462,478,132,714,016,903,133,300,848,297,721,424,044,769,450,034,407,687,775,
759,495,508,061,524,619,801,322,400,551,997,276,842,624,487,077,919,536,646,
768,887,681,423,493,424,847,064,534,449,263,523,042,070,440,262,202,520,055,
427,412,207,461,547,781,427,255,137,513,593,337,435,918,358,224,295,523,147,
316,395,327,703,622,218,804,434,084,310,427,612,051,218,388,636,764,955,227,
201,951,728,155,124,181,662,886,206,614,950,215,769,614,455,127,568,170,279,
811,789,588,159,762,062,103,372,252,743,358,509,243,047,389,396,378,383,801,
543,639,214,348,794,689,057,994,425,030,014,969,826,628,409,436,921,458,539,
392,876,690,486,859,023,777,115,192,107,291,824,360,699,193,544,504,912,505,
035,969,766,899,882,181,682,356,749,885,268,061,176,521,055,318,511,929,797,
337,805,084,499,710,206,283,144,977,489,707,901,056,536,657,165,796,994,774,
069,559,490,075,307,104,894,555,878,642,135,900,586,086,707,449,205,653,296,
868,737,236,774,603,885,032,108,747,884,351,765,715,669,829,746,231,775,204,
794,709,512,896,356,025,530,830,924,664,877,915,492,707,908,219,392,085,678,
433,366,898,868,100,239,745,262,987,398,988,043,200,607,781,615,111,557,880,
123,921,669,169,675,554,581,360,053,136,220,529,402,718,278,071,084,420,273,
188,017,880,797,246,154,233,355,395,215,201,271,126,659,687,115,715,864,560,
752,796,032,459,955,130,732,737,673,496,116,193,130,771,363,215,858,856,858,
269,004,785,761,332,211,933,984,126,910,333,834,939,920,481,574,298,834,407,
120,823,665,923,311,401,569,056,875,853,590,097,094,024,932,932,567,242,441,
900,508,150,601,484,150,417,783,434,789,636,720,681,518,305,113,212,170,003,
996,995,123,456,377,045,522,329,772,412,562,382,211,341,882,010,814,580,076,
473,038,668,578,276,277,171,780,075,832,416,598,300,792,377,102,151,940,601,
851,978,880,615,826,016,755,568,175,900,725,939,935,873,517,701,931,353,616,
313,545,533,286,201,959,384,533,522,299,080,084,292,119,688,980,764,720,666,
030,833,124,353,316,256,776,154,290,216,712,544,996,936,340,627,519,569,090,
364,166,053,868,402,634,745,143,262,991,242,197,697,290,516,930,258,250,795,
536,274,278,663,655,645,516,545,411,180,720,222,076,982,930,251,433,146,129,
233,602,944,841,586,289,849,205,195,424,878,941,769,767,228,749,899,347,651,
162,894,775,817,308,173,988,334,381,237,302,754,641,877,785,461,883,196,895,
767,044,533,597,081,861,775,682,491,791,932,638,674,764,786,997,127,803,931,
163,717,943,108,391,911,897,945,163,351,828,981,883,783,880,444,459,478,163,
566,049,947,100,001,562,530,193,204,879,131,765,641,287,981,311,241,935,874,
919,783,927,416,739,231,182,896,091,314,432,786,922,517,800,034,431,686,470,
972,926,509,286,421,056,371,362,239,044,725,474,143,024,066,075,282,007,137,
316,611,449,896,139,687,055,713,195,176,148,024,234,684,622,167,081,873,560,
603,329,773,058,417,098,371,087,229,962,053,822,000,731,982,334,330,436,780,
215,071,786,678,368,927,089,429,159,484,407,076,476,390,376,530,163,605,476,
711,190,736,445,519,370,358,340,341,663,034,138,077,749,419,998,303,434,118,
860,658,460,972,658,636,421,997,833,076,716,888,945,356,791,247,809,159,214,
244,886,432,074,190,872,184,577,215,971,318,404,364,184,924,690,228,149,497,
613,105,360,668,407,302,550,952,790,106,276,663,575,350,875,691,413,890,105,
445,863,113,463,719,040,858,074,343,268,177,439,307,602,360,053,150,799,143,
285,456,193,615,367,749,751,859,361,755,259,465,009,538,621,905,084,794,884,
338,249,212,425,983,454,879,459,235,711,097,814,277,808,695,278,924,050,690,
932,669,092,049,375,607,990,218,074,180,477,868,922,340,193,980,729,580,974,
131,801,833,658,072,394,568,382,936,586,162,891,628,435,228,958,915,749,049,
082,700,116,159,937,856,985,439,627,541,450,330,708,821,217,777,209,047,294,
212,757,151,469,994,580,598,369,116,506,798,424,982,196,677,403,409,513,819,
943,096,886,239,118,491,519,753,094,906,291,934,619,444,567,572,039,021,251,
525,581,916,381,833,552,022,130,192,952,462,209,143,055,252,946,865,444,632,
472,008,117,063,790,620,785,499,882,763,523,000,171,703,884,749,855,760,801,
212,217,327,436,472,316,079,162,728,197,529,403,978,987,972,290,196,394,577,
684,086,021,664,838,163,035,954,120,453,913,602,320,399,948,517,500,991,117,
530,760,239,480,629,496,376,321,860,093,900,026,681,862,465,043,816,068,432,
580,084,597,806,343,256,570,043,640,431,388,192,089,442,929,466,756,526,690,
830,181,664,937,403,792,378,175,663,102,672,809,062,691,587,760,154,218,595,
906,992,178,871,540,279,349,533,871,061,329,485,587,478,853,793,015,908,821,
775,682,092,847,748,038,305,892,451,069,973,225,306,671,601,934,744,291,002,
249,778,029,264,361,219,476,327,870,406,352,150,388,638,846,884,241,780,704,
757,143,568,406,259,947,759,541,018,564,602,378,146,046,949,525,491,078,365,
111,070,474,132,754,503,079,090,370,289,309,293,517,772,414,300,786,974,308,
734,034,778,814,063,621,414,703,258,267,954,634,633,864,324,760,636,353,315,
354,208,172,530,656,784,655,717,124,895,471,872,748,777,572,979,999,469,891,
001,060,809,384,895,695,075,368,694,377,584,493,121,191,179,954,148,041,214,
317,170,523,949,228,257,790,605,999,550,438,261,854,354,385,046,195,809,198,
184,029,048,933,825,896,049,347,642,310,370,328,380,026,833,708,479,216,505,
549,617,057,162,218,106,349,523,308,150,579,229,909,844,427,495,783,298,063,
508,116,562,236,846,540,387,765,357,575,692,504,095,917,183,586,932,617,597,
942,816,695,107,308,985,372,935,471,892,853,412,896,153,069,115,838,210,057,
217,052,032,611,770,472,188,034,657,328,503,178,326,940,274,828,884,608,845,
289,101,638,688,744,873,084,031,696,499,722,882,074,293,129,037,874,462,016,
960,093,651,656,313,777,437,152,151,155,039,929,414,042,911,812,613,926,870,
786,817,995,067,523,724,346,425,330,080,354,248,253,819,530,699,378,581,229,
059,295,620,510,380,079,750,494,606,087,745,628,270,215,525,591,232,941,461,
586,886,805,022,988,544,400,797,011,491,366,572,724,779,378,586,535,233,010,
926,947,071,642,976,532,866,956,102,003,379,887,536,732,174,601,398,537,514,
335,655,057,783,810,253,142,574,592,032,646,338,540,420,578,279,340,086,629,
428,432,513,421,552,756,861,819,193,802,830,777,331,362,134,271,699,862,413,
726,817,055,229,113,603,837,033,790,132,037,027,130,382,924,157,738,305,333,
896,398,601,643,967,927,578,538,145,028,299,058,680,844,117,017,630,364,803,
136,051,699,971,437,572,272,850,701,172,026,246,266,857,839,548,894,369,226,
995,658,436,398,174,872,980,290,974,714,901,864,780,249,602,000,650,722,681,
144,802,571,662,343,905,345,417,329,380,443,681,004,827,107,924,135,807,629,
116,157,224,512,310,335,226,583,142,067,017,569,980,584,283,286,199,639,305,
021,626,946,589,499,925,116,603,270,787,537,853,442,953,255,238,617,764,089,
691,007,698,730,092,160,401,343,499,090,577,589,044,433,000,474,436,820,980,
428,854,478,685,269,606,547,453,717,814,366,730,464,312,603,319,216,150,159,
130,261,562,142,938,574,033,323,233,038,451,032,609,969,882,131,484,370,705,
478,042,092,577,349,555,254,109,075,500,129,560,629,204,669,896,859,123,985,
006,094,486,657,070,859,465,789,577,169,590,569,493,454,080,144,033,899,894,
857,400,495,349,145,777,316,571,869,474,730,091,121,785,135,754,591,138,634,
802,440,344,033,033,756,469,416,040,854,781,509,672,256,692,554,949,349,131,
825,577,202,846,223,511,890,512,333,155,327,703,920,694,023,690,803,026,381,
652,916,946,566,558,800,996,167,703,238,067,252,130,869,521,252,385,938,392,
749,907,500,979,328,775,048,733,493,998,031,718,304,918,113,927,429,017,433,
199,257,959,426,719,448,922,453,050,694,524,193,139,749,858,069,744,327,771,
188,613,493,548,834,425,263,568,118,900,286,342,328,393,306,768,110,588,336,
013,515,263,876,038,211,885,854,148,928,661,910,427,500,265,397,277,827,274,
372,785,164,691,670,426,993,807,361,270,310,834,636,963,587,018,243,033,407,
445,655,205,478,403,605,106,978,907,316,291,397,220,316,188,427,201,965,251,
221,926,687,179,425,179,058,240,888,988,814,983,200,033,814,016,834,583,388,
152,695,444,358,242,506,075,350,801,387,857,278,825,171,082,048,436,535,857,
152,379,882,974,078,532,004,237,832,575,141,742,391,526,258,315,283,058,299,
343,543,334,608,572,146,863,609,804,879,013,660,440,905,799,458,515,486,543,
327,929,566,198,379,794,163,744,709,196,459,385,742,339,658,037,354,643,647,
792,711,458,217,589,732,331,123,006,648,349,338,035,171,862,967,894,151,025,
297,017,683,986,593,249,347,126,785,418,226,582,704,028,393,240,861,436,262,
057,611,612,891,802,629,226,563,959,223,970,393,246,196,737,027,033,984,095,
851,461,873,495,939,403,213,686,916,283,045,477,275,781,344,472,889,156,227,
688,737,610,419,400,047,662,072,924,752,014,674,674,238,682,286,598,770,262,
697,528,497,927,840,003,833,924,938,525,215,425,244,221,088,454,040,770,753,
868,041,195,802,864,549,422,865,448,832,622,484,478,781,287,072,712,462,565,
172,196,561,824,399,850,987,371,707,477,413,712,398,552,919,009,115,344,895,
318,766,689,931,996,511,584,238,097,167,863,385,725,784,850,346,199,616,716,
965,920,292,999,604,263,976,235,121,772,358,640,311,945,943,781,229,756,415,
499,261,873,637,892,350,029,042,145,739,001,048,066,339,920,060,262,544,351,
429,545,983,757,707,637,653,141,006,010,482,409,097,797,406,068,346,028,373,
681,133,439,167,768,779,335,189,250,473,467,294,205,609,819,158,081,929,707,
052,808,707,255,586,026,341,961,662,716,445,922,552,273,706,295,971,275,074,
327,107,650,746,755,201,900,326,232,015,323,924,209,310,432,704,631,079,993,
570,194,382,141,549,677,835,112,485,034,301,531,116,976,279,950,928,922,742,
680,815,306,599,630,993,083,368,749,439,133,371,477,006,938,030,881,631,253,
416,117,557,298,831,534,035,158,009,642,389,592,562,953,557,002,842,820,109,
060,538,794,584,856,412,282,437,604,962,539,437,409,085,573,299,164,872,890,
951,079,110,146,607,672,200,000,620,787,117,652,141,102,278,637,558,285,972,
118,373,272,240,378,587,404,369,199,954,386,003,221,692,361,338,384,548,055,
864,642,224,824,886,891,770,190,706,690,373,966,201,221,480,559,501,169,433,
265,627,069,307,016,425,150,356,998,480,674,066,322,437,825,631,817,615,290,
503,806,274,547,491,349,899,812,650,957,620,069,492,830,027,318,578,229,272,
016,519,901,921,147,436,586,649,811,146,003,441,703,273,696,301,449,125,662,
487,484,045,263,397,843,335,008,314,396,264,154,979,250,356,360,760,988,916,
857,877,653,618,369,091,614,760,007,230,310,482,200,831,734,413,708,231,788,
856,740,436,095,659,497,515,997,104,820,304,322,702,968,388,308,775,641,625,
603,529,875,095,815,880,996,876,556,051,918,496,614,544,225,439,524,393,634,
135,403,540,617,233,408,643,305,405,659,838,927,204,169,975,425,282,395,333,
392,595,092,272,079,622,867,873,807,636,682,476,495,412,638,055,805,869,621,
639,841,897,073,840,102,183,656,558,135,658,597,466,623,821,066,481,714,378,
707,930,506,476,365,000,721,576,195,675,513,394,236,108,915,557,681,409,948,
615,497,109,722,302,826,955,927,248,461,612,182,529,988,471,650,153,298,063,
326,937,593,472,859,396,814,687,721,282,464,973,081,285,942,619,567,787,008,
333,967,206,493,850,694,726,146,846,068,312,171,645,626,658,752,275,861,304,
235,685,798,285,714,599,565,067,138,349,445,480,672,196,952,395,186,810,607,
297,709,941,659,403,657,450,430,396,705,248,814,309,443,459,207,068,831,040,
838,210,804,479,793,664,311,855,324,762,041,015,557,429,244,469,798,786,131,
090,352,347,886,601,399,460,755,693,378,887,555,599,402,522,957,523,154,133,
052,932,848,974,719,379,560,507,554,482,183,508,115,733,015,249,697,552,760,
662,166,182,543,595,417,911,853,568,415,995,015,358,510,007,100,741,432,837,
676,065,838,883,750,733,036,182,527,586,677,596,254,013,924,549,730,821,558,
711,112,465,116,816,394,452,635,945,323,111,437,520,226,457,386,270,103,601,
779,828,121,357,928,681,788,795,555,628,348,840,865,129,984,333,632,025,075,
557,137,189,504,173,024,789,566,131,948,950,519,457,424,068,873,433,146,364,
178,885,883,982,172,354,252,944,489,527,339,907,486,261,396,118,863,886,770,
065,072,342,137,126,278,669,347,331,172,041,152,383,723,928,608,306,287,573,
418,909,806,662,203,319,604,399,433,155,270,698,863,800,936,962,558,371,891,
760,519,360,429,250,208,521,791,886,742,146,591,650,056,108,288,040,665,644,
917,094,100,396,808,833,869,502,916,464,830,755,115,966,684,515,727,987,182,
449,986,178,526,126,416,774,193,851,129,250,208,068,761,125,275,682,258,071,
409,040,144,426,647,486,389,658,517,822,363,251,993,994,696,798,574,897,315,
750,135,123,651,613,845,194,150,064,958,975,252,017,692,370,679,770,526,763,
606,827,511,465,308,815,495,188,070,125,784,320,497,830,287,329,339,948,297,
017,292,686,310,589,807,833,254,299,579,075,095,645,236,987,597,996,727,365,
440,317,674,596,894,794,086,413,299,822,253,203,736,543,699,592,150,537,162,
367,583,760,352,014,070,983,843,205,363,478,631,713,524,398,159,220,709,578,
335,981,936,120,187,655,278,420,223,219,490,341,955,767,772,320,622,212,218,
010,104,132,705,423,529,806,994,305,096,713,080,174,932,255,241,348,569,416,
527,813,416,747,064,487,900,039,774,210,142,416,527,773,610,235,500,055,044,
890,640,696,928,155,584,632,096,150,634,736,475,163,313,391,287,918,006,139,
266,367,270,636,097,796,371,741,820,038,532,778,409,684,849,951,845,166,969,
732,067,478,246,981,564,348,930,331,571,451,815,085,225,332,637,041,551,641,
718,063,753,997,648,509,098,459,140,856,568,466,287,825,695,993,637,919,085,
534,140,975,412,386,499,274,180,839,895,035,211,884,618,642,104,244,171,363,
164,987,079,951,713,789,637,274,893,009,115,251,461,021,160,157,490,322,261,
258,989,070,168,211,847,897,293,449,375,696,968,283,300,561,164,882,756,343,
043,109,780,437,875,685,568,689,868,944,929,361,571,724,233,946,863,341,441,
347,166,189,133,185,960,737,240,327,069,575,044,223,456,318,226,310,323,834,
919,574,731,105,381,894,314,277,286,957,579,738,189,306,260,893,989,956,373,
778,750,151,132,129,610,118,014,529,614,566,066,413,443,863,601,978,267,679,
626,673,511,876,063,340,022,340,541,536,824,619,180,194,845,489,418,472,144,
150,077,930,400,981,076,729,428,634,742,185,163,859,536,569,269,965,458,685,
960,940,970,857,451,070,405,614,083,126,067,343,779,060,815,166,795,354,404,
355,639,404,032,235,527,803,148,640,844,401,980,216,583,902,637,579,919,577,
632,693,309,027,786,664,922,154,716,300,183,478,467,442,928,522,877,180,919,
724,448,780,846,990,632,333,056,004,625,635,312,803,756,793,100,256,458,752,
578,746,088,244,636,525,948,036,255,325,245,168,077,788,853,765,120,297,763,
780,536,548,188,524,261,618,789,336,123,369,873,189,447,337,069,899,114,644,
019,325,764,835,103,344,721,759,195,042,862,559,337,598,827,368,446,565,390,
658,045,932,799,631,919,121,848,016,530,537,158,940,894,997,284,515,605,703,
624,565,277,406,965,881,246,444,391,864,671,809,895,720,053,257,706,823,143,
945,693,898,880,926,417,354,909,576,803,449,790,218,075,578,874,714,471,666,
114,967,560,395,710,802,734,380,743,409,473,976,763,383,395,432,714,597,206,
363,178,103,596,858,573,141,618,587,101,136,340,144,872,364,987,831,234,411,
595,022,126,562,138,816,635,981,899,867,615,093,486,257,781,914,733,067,505,
158,291,793,335,644,989,535,975,667,656,351,502,889,122,978,103,844,181,870,
990,871,327,094,344,664,765,730,784,830,317,972,273,744,073,509,310,205,495,
948,530,796,371,634,107,824,612,155,001,231,837,830,089,607,625,526,866,029,
752,889,866,997,717,196,239,235,924,775,852,879,862,339,162,166,796,718,809,
837,477,688,637,735,260,983,734,782,437,367,342,496,661,233,646,238,921,760,
488,284,075,647,021,505,730,429,798,969,740,538,243,498,160,524,186,553,292,
273,084,528,781,096,392,665,070,460,699,433,777,756,294,566,387,461,645,649,
420,388,317,343,691,260,040,514,243,965,496,302,595,700,026,138,290,420,776,
952,308,514,407,376,490,858,199,019,447,095,772,573,786,976,592,069,513,212,
787,474,845,103,037,469,850,997,827,000,909,504,057,692,766,233,900,609,535,
581,619,777,046,646,707,360,453,399,843,475,635,064,812,356,202,568,141,797,
786,873,153,779,308,275,173,879,711,631,408,216,726,243,804,013,755,655,807,
686,411,490,290,287,054,551,003,485,858,424,272,670,526,070,592,980,630,512,
771,051,524,100,073,138,085,943,607,042,989,640,230,092,903,098,067,406,401,
936,935,054,569,866,721,545,409,160,454,908,065,011,221,077,537,419,555,045,
570,896,167,106,170,690,437,281,667,410,383,933,460,228,075,764,090,678,011,
969,459,033,322,313,968,072,342,727,684,341,029,291,099,154,521,079,344,259,
864,149,370,098,672,459,630,092,856,260,373,684,881,886,304,631,635,983,498,
741,169,439,781,424,133,693,739,299,244,337,810,048,072,947,021,743,790,760,
264,798,519,547,232,813,035,447,964,085,889,042,683,156,766,280,699,501,315,
176,567,859,849,088,886,830,149,013,144,486,159,843,770,448,208,246,559,709,
622,429,662,409,487,665,844,297,502,133,370,050,947,119,511,918,911,998,822,
970,393,848,580,272,099,476,472,097,179,147,020,580,372,976,985,081,370,163,
913,382,811,013,289,792,323,578,065,569,119,332,057,482,455,167,182,516,435,
276,113,280,045,154,545,416,874,264,322,304,394,690,996,825,979,931,284,760,
864,801,111,717,870,277,152,207,297,130,522,559,707,703,911,683,932,123,012,
405,075,317,442,481,071,458,303,026,173,275,150,996,651,299,908,091,624,137,
659,714,512,701,648,014,048,613,283,891,127,996,746,636,799,526,186,834,570,
925,378,155,656,343,348,367,854,172,964,287,322,962,627,456,539,309,774,949,
900,616,289,120,482,092,287,071,823,918,122,633,410,472,030,101,554,506,786,
893,078,908,846,928,236,683,553,351,281,152,141,625,182,414,475,000,495,401,
274,294,175,588,535,261,449,982,607,252,823,217,620,771,927,197,371,785,653,
404,438,015,553,278,579,598,053,680,847,046,492,753,714,980,547,438,730,238,
990,206,461,231,197,613,873,768,866,546,154,194,500,938,663,480,035,977,455,
275,352,701,127,017,481,585,209,301,302,110,342,005,283,355,610,686,944,076,
097,704,730,939,220,920,652,447,955,341,237,633,798,129,012,904,450,730,549,
680,210,035,614,124,171,207,584,133,190,349,707,652,311,836,791,657,506,568,
221,482,885,028,555,728,267,014,665,107,799,003,468,616,450,565,163,725,883,
133,057,437,095,975,977,609,147,055,297,661,332,575,113,569,464,903,838,835,
146,891,811,304,999,098,188,888,758,385,152,254,067,422,417,818,688,639,481,
418,370,634,998,607,187,200,256,048,786,662,028,119,031,980,487,157,431,453,
461,778,105,446,585,210,821,123,389,481,629,147,227,860,129,937,634,027,156,
937,929,623,692,398,322,232,208,938,194,666,976,529,866,093,798,337,342,750,
420,209,587,512,875,948,234,030,727,653,454,453,611,732,460,814,297,912,729,
501,653,126,129,125,985,198,398,803,709,573,374,369,913,320,108,702,400,829,
872,920,504,893,171,632,308,352,700,518,300,648,000,083,366,604,139,604,343,
550,500,725,757,780,365,338,551,102,719,060,827,370,002,794,896,541,824,835,
753,294,406,768,600,730,759,266,696,425,320,558,690,747,482,658,498,885,550,
705,507,619,534,625,272,228,983,608,357,593,032,341,347,493,160,833,701,613,
868,541,620,615,882,135,160,414,154,200,572,301,488,526,296,605,017,967,785,
862,882,938,288,716,704,724,277,633,220,477,978,000,027,097,273,433,958,800,
861,796,536,494,644,365,279,010,320,830,150,698,139,809,430,144,651,722,363,
096,240,512,341,856,916,318,050,453,278,420,179,968,918,428,593,180,716,235,
459,205,177,626,457,383,161,514,842,181,420,015,319,717,590,680,205,469,534,
465,324,110,731,935,143,461,484,086,032,822,143,161,226,161,627,915,210,444,
161,395,751,245,793,880,523,623,706,109,882,610,024,921,453,916,509,254,597,
186,527,459,509,596,885,249,552,317,018,798,395,178,733,712,687,704,362,247,
099,460,708,150,073,137,200,505,187,301,187,948,568,982,194,261,831,595,191,
514,694,103,449,948,486,806,510,955,199,405,513,857,692,542,838,165,691,138,
434,743,064,835,207,901,099,844,520,818,271,119,075,478,147,911,210,780,374,
865,716,671,812,040,680,307,668,255,702,872,946,057,862,733,919,646,660,035,
150,175,566,325,971,463,699,332,828,677,285,587,239,937,991,340,467,545,707,
144,697,096,724,015,722,434,026,680,607,283,193,858,324,322,995,434,351,270,
768,742,657,613,828,836,238,745,055,113,306,068,199,482,412,106,365,128,740,
868,811,428,576,590,757,991,800,821,863,567,510,437,901,136,440,165,053,507,
596,717,292,331,493,133,743,837,475,551,964,043,109,123,625,497,539,246,101,
486,580,336,437,631,597,944,906,248,753,742,430,967,513,250,873,074,468,734,
510,681,685,606,367,545,731,344,786,178,448,093,683,085,817,611,677,652,155,
805,972,780,201,850,441,100,630,714,444,009,867,135,514,763,924,105,947,724,
791,004,117,362,831,018,302,106,763,911,232,902,980,676,817,203,764,742,273,
341,562,926,223,296,585,882,333,810,737,543,862,597,794,756,293,021,675,486,
564,046,869,767,071,609,480,100,964,144,484,010,807,989,158,394,126,985,648,
595,834,472,420,792,036,168,766,252,552,916,979,989,191,992,760,225,834,378,
098,124,372,217,847,852,518,614,257,787,614,412,980,881,422,151,974,633,238,
668,468,141,325,494,707,743,471,820,329,819,332,778,210,087,138,459,324,689,
051,783,083,984,712,625,753,842,511,275,007,393,215,293,842,071,243,129,986,
575,244,226,149,942,401,235,777,882,839,237,222,115,428,761,030,287,863,391,
495,671,951,647,515,885,449,774,285,949,859,155,099,511,017,844,816,896,566,
469,809,233,750,167,926,480,234,141,491,946,325,401,739,095,229,656,981,125,
928,477,626,619,325,429,385,345,602,590,910,650,196,877,392,067,763,059,475,
063,385,935,384,906,583,053,061,209,283,484,887,170,684,382,921,148,381,006,
009,617,298,843,068,540,879,829,756,010,129,202,284,819,396,431,691,614,672,
920,904,737,258,920,612,914,057,236,015,571,258,870,628,833,074,854,662,934,
847,675,065,958,647,205,449,226,768,940,953,563,258,350,313,343,479,668,337,
832,899,354,252,170,675,937,544,999,247,947,161,044,185,924,621,497,572,347,
542,705,789,877,669,435,514,428,631,599,170,627,227,866,364,234,951,484,614,
640,868,473,526,206,916,685,890,631,333,166,968,678,612,432,869,171,793,884,
827,140,567,714,076,640,578,567,918,944,145,598,401,269,807,095,684,219,466,
402,648,634,505,911,622,451,545,123,655,330,546,838,018,515,946,696,190,480,
902,819,821,220,611,239,742,254,970,719,301,950,076,297,420,871,231,444,770,
160,094,711,105,858,909,804,132,585,838,985,245,344,000,870,067,751,355,771,
795,644,339,588,701,594,195,237,363,882,321,291,634,560,679,555,855,298,707,
921,929,980,466,090,123,852,545,083,939,264,872,598,450,355,851,689,182,373,
279,726,332,199,128,731,776,483,165,871,508,751,227,779,970,753,174,435,015,
105,173,529,071,863,518,776,228,134,704,936,239,791,599,891,495,614,021,637,
151,094,979,409,276,950,835,097,740,633,900,830,056,741,827,239,414,761,048,
211,770,593,150,827,194,733,097,441,198,459,821,495,383,117,100,504,070,705,
270,908,691,377,200,838,990,903,452,776,215,228,876,890,907,876,149,414,548,
011,292,891,388,568,872,803,114,825,029,666,715,477,818,072,674,133,929,245,
731,407,782,115,416,849,580,673,519,903,397,298,960,788,467,842,799,842,004,
670,948,593,958,697,494,547,879,203,300,290,435,679,861,047,312,223,922,501,
679,031,485,165,595,981,858,291,072,566,270,198,091,659,212,860,062,628,928,
976,366,743,202,114,842,831,752,143,585,742,531,228,650,635,701,004,414,036,
174,657,309,932,305,518,922,776,834,915,618,053,282,339,131,140,438,161,482,
497,031,395,705,902,052,513,407,289,417,652,688,091,197,851,627,574,217,161,
572,069,153,159,041,876,285,012,136,164,664,861,533,434,870,960,377,307,811,
087,611,173,433,222,265,613,907,360,951,715,963,354,877,721,694,344,450,547,
858,852,855,492,954,037,680,069,411,881,087,075,207,813,104,166,332,467,335,
990,309,802,031,276,489,857,582,495,335,142,869,783,973,515,572,106,797,786,
150,813,188,472,242,797,288,171,447,759,259,143,629,823,993,963,979,175,141,
884,869,085,621,060,130,158,823,833,915,848,563,480,679,242,002,392,860,149,
031,843,007,892,684,632,073,164,038,974,734,880,938,217,732,254,349,853,677,
793,925,466,727,713,933,740,801,936,018,509,166,313,223,897,242,804,219,059,
309,392,353,493,336,700,077,938,175,864,715,718,862,244,531,965,280,459,623,
812,875,479,129,455,672,435,106,087,634,173,486,940,502,798,224,443,524,023,
198,532,469,622,779,913,671,541,348,182,960,988,038,442,426,051,143,979,314,
303,850,808,438,151,521,786,564,336,852,081,259,800,187,318,549,056,438,736,
273,896,611,287,628,509,946,278,138,702,549,149,383,515,744,487,102,075,486,
554,250,320,656,846,753,698,078,619,414,262,416,253,905,421,667,148,893,842,
391,910,286,265,237,916,881,517,312,426,508,030,665,502,231,507,705,531,621,
222,891,328,102,419,042,431,739,855,286,605,047,714,543,757,705,051,383,626,
242,488,286,694,515,880,918,885,957,525,948,157,024,684,027,166,865,534,981,
738,576,612,353,872,249,538,199,524,780,925,345,746,382,022,571,879,105,572,
957,759,093,623,814,054,716,437,598,076,135,643,145,354,326,377,297,213,714,
237,762,812,989,044,225,382,277,132,826,193,895,567,961,789,253,447,563,286,
751,785,691,280,427,704,939,676,404,268,894,566,541,456,231,659,146,063,054,
094,411,715,409,187,394,167,577,646,920,042,654,216,639,147,625,124,032,727,
922,005,347,912,544,568,990,774,103,058,071,140,982,645,849,191,568,896,221,
650,535,745,552,858,319,499,403,958,732,676,688,901,881,382,212,317,342,809,
125,517,091,147,548,569,515,023,423,393,371,914,535,625,349,488,722,973,819,
557,114,739,523,037,971,418,167,184,130,803,188,321,068,439,471,138,769,587,
606,467,508,285,664,881,430,524,926,656,168,445,841,793,611,951,492,608,495,
442,198,400,980,390,997,122,472,030,942,516,964,153,299,054,024,875,008,035,
437,160,405,192,985,755,415,921,746,699,056,273,386,537,644,920,735,135,464,
577,511,776,907,996,038,512,804,002,765,460,467,354,731,910,485,765,202,445,
437,876,773,283,291,201,646,481,530,162,769,156,101,263,175,005,641,865,933,
416,497,802,078,156,070,993,584,719,594,948,916,080,349,033,869,892,063,848,
048,140,160,143,322,840,886,208,548,745,895,417,814,298,563,707,340,262,105,
194,090,540,618,407,733,832,745,704,973,607,267,561,954,231,041,380,618,373,
910,212,416,939,541,428,681,609,920,152,855,894,711,178,154,862,023,407,876,
907,439,519,087,221,589,083,648,443,940,130,028,246,792,954,843,159,618,974,
276,257,824,676,907,726,721,928,003,871,452,930,480,699,421,703,174,444,269,
313,702,172,669,822,986,777,969,632,016,767,557,854,782,411,620,274,098,611,
823,066,855,162,266,412,272,547,308,777,329,688,400,449,543,227,917,618,656,
790,281,687,783,224,542,195,126,035,421,464,285,277,688,673,895,428,047,961,
284,172,413,835,499,935,299,930,935,938,556,915,663,405,107,571,327,091,107,
568,701,119,099,480,978,925,477,150,593,652,326,104,088,336,264,795,860,801,
269,730,987,814,856,624,319,546,347,540,359,299,625,598,324,832,836,328,854,
926,738,031,671,631,827,509,786,628,710,662,627,001,369,879,832,680,201,527,
560,949,451,774,850,475,561,721,993,823,964,650,233,076,509,395,896,378,731,
412,013,996,328,446,517,093,408,007,522,477,250,346,268,347,081,428,704,229,
171,095,434,287,667,663,927,405,824,063,276,019,653,640,951,958,226,841,005,
271,169,777,510,685,524,311,245,565,035,990,135,158,510,544,897,429,496,699,
767,258,716,307,427,057,367,310,019,316,816,983,873,445,557,370,506,688,480,
060,077,785,000,118,838,184,309,980,896,732,327,002,421,022,538,872,163,614,
746,095,266,486,434,522,221,970,147,425,074,513,068,181,068,586,536,755,127,
889,164,993,993,122,376,072,173,805,765,365,002,967,977,818,951,904,169,859,
853,608,088,517,205,321,140,657,489,350,403,341,348,179,103,202,276,804,778,
998,975,915,469,256,405,991,119,839,078,643,943,165,377,047,782,220,042,668,
906,733,208,413,131,807,500,069,828,414,978,900,556,794,307,087,951,087,271,
964,493,957,092,458,461,308,470,065,002,856,669,182,345,008,731,188,585,584,
468,324,052,898,758,474,002,321,739,250,361,331,471,414,843,026,250,950,867,
525,482,209,094,547,581,259,278,714,075,822,406,283,815,271,488,236,767,766,
929,794,971,517,225,894,509,796,848,503,569,826,057,522,528,765,709,456,894,
816,268,081,709,408,307,615,943,699,073,598,953,705,264,109,618,314,703,683,
584,182,496,427,466,724,144,548,252,611,061,787,110,689,416,197,308,619,794,
078,179,038,783,648,156,846,737,838,283,971,770,312,480,803,206,889,914,253,
808,577,431,808,501,201,802,683,645,398,160,863,115,552,115,131,621,517,681,
496,132,759,985,839,554,981,971,249,410,867,448,158,224,224,327,000,665,538,
603,914,962,669,954,567,641,001,097,104,069,984,571,055,756,206,763,119,883,
821,949,045,260,100,326,199,724,270,033,693,993,895,672,842,465,975,486,697,
089,699,292,516,302,155,356,223,454,699,430,550,925,912,999,107,755,797,655,
719,931,705,223,005,615,585,877,751,873,916,634,933,840,205,644,342,237,007,
586,951,828,804,204,655,974,543,516,206,385,027,385,889,679,201,470,028,581,
807,582,405,206,138,918,621,037,579,176,171,712,776,093,812,812,056,828,492,
719,040,855,284,072,218,359,251,858,943,340,683,102,815,894,181,464,188,904,
382,360,921,637,785,837,971,255,646,266,654,976,928,367,364,685,460,577,500,
090,452,518,160,388,886,427,493,058,023,886,706,108,374,889,623,087,060,937,
431,911,019,363,164,768,326,154,892,185,883,743,245,606,775,954,699,861,581,
847,266,258,387,883,274,930,197,665,174,173,461,036,988,858,988,783,470,178,
179,036,298,080,753,451,219,126,335,549,412,035,594,036,099,173,633,906,320,
423,300,426,966,406,671,924,259,293,781,896,395,091,996,709,302,191,733,374,
254,440,073,507,349,359,873,907,827,321,129,470,899,503,019,738,993,073,712,
397,015,315,357,763,471,724,421,069,805,710,428,084,416,442,238,979,125,405,
027,706,796,737,300,330,190,591,043,853,116,503,287,814,864,814,173,621,218,
531,964,061,723,329,654,581,693,289,988,688,493,235,614,261,359,389,188,751,
033,251,358,987,912,357,166,618,183,179,757,717,590,910,005,511,460,851,465,
324,387,428,110,020,279,633,622,644,129,873,879,981,173,848,662,846,741,393,
835,458,692,670,914,108,493,329,753,623,100,515,159,119,980,137,127,314,249,
349,764,961,103,477,815,091,750,003,852,994,335,699,984,663,140,910,379,894,
449,686,832,049,150,864,730,513,693,312,890,132,756,542,464,220,300,774,819,
608,884,005,388,917,111,350,050,377,116,077,751,121,392,700,817,471,905,903,
966,346,757,635,908,423,713,358,052,658,334,114,689,346,080,713,379,741,862,
743,690,529,377,693,734,241,798,204,803,111,968,131,601,502,753,871,284,573,
281,323,541,885,165,828,557,974,859,310,074,425,852,460,077,533,275,752,024,
816,391,560,085,071,443,572,120,935,635,340,248,204,775,467,484,078,825,646,
192,716,274,767,462,157,258,115,946,248,047,853,514,720,580,483,338,637,511,
601,687,220,136,043,307,183,845,343,157,875,164,241,595,835,440,288,550,602,
229,507,305,755,241,536,142,109,712,856,933,735,023,054,152,612,661,299,415,
444,485,124,742,875,140,996,719,019,602,427,332,457,164,984,882,209,319,923,
383,071,192,533,091,283,815,263,234,731,131,677,520,772,439,548,433,671,099,
005,308,330,494,679,319,272,611,025,744,075,615,611,279,111,645,201,574,114,
015,857,113,570,919,422,220,175,670,271,840,594,705,705,338,650,005,570,624,
949,521,029,032,930,037,286,446,378,534,792,565,289,571,796,785,558,495,081,
346,577,411,512,525,393,167,336,616,386,873,759,494,951,278,516,722,161,383,
958,378,523,618,574,212,837,840,767,188,874,645,954,699,466,760,559,721,235,
357,700,534,468,828,948,208,653,326,613,182,645,793,999,025,092,495,589,485,
524,667,529,099,315,833,787,319,230,175,573,704,781,547,129,994,382,267,536,
701,124,850,514,527,406,602,847,022,560,132,139,391,574,407,996,510,276,850,
610,017,553,779,636,125,880,660,384,663,442,893,517,949,187,584,037,107,698,
342,354,141,625,701,659,641,835,711,991,620,848,314,612,207,123,989,636,697,
207,593,658,643,094,858,354,027,728,104,519,761,990,630,718,186,144,226,534,
024,526,616,118,235,209,945,683,535,778,811,247,795,182,337,792,237,643,911,
482,914,515,939,451,356,408,104,953,933,408,860,244,888,593,874,660,629,004,
573,689,481,698,969,737,824,926,264,491,313,664,051,851,034,705,210,307,162,
124,047,945,023,675,770,063,723,758,721,843,970,119,579,506,999,768,066,093,
220,998,334,947,383,624,640,688,584,479,017,578,064,500,872,606,728,137,224,
606,707,083,965,491,676,320,151,440,182,380,064,359,179,914,500,702,990,662,
820,497,335,225,844,555,311,421,130,127,989,239,506,959,375,891,056,428,244,
612,098,204,006,489,301,300,145,882,413,304,152,061,649,071,825,679,261,882,
912,051,330,461,367,592,391,764,171,911,513,333,238,246,353,208,827,768,537,
255,442,131,146,973,827,747,177,769,007,591,222,300,410,934,870,895,294,759,
868,151,578,094,821,445,810,167,066,750,645,016,673,073,546,262,653,343,514,
031,474,104,036,232,282,682,954,107,678,518,637,211,614,468,707,444,938,574,
933,935,059,169,385,350,987,776,711,068,021,891,532,227,333,108,290,873,784,
650,577,222,937,324,349,317,182,795,072,741,738,322,645,144,927,714,884,353,
646,280,366,883,460,605,332,421,492,134,689,029,072,042,512,540,644,665,706,
942,471,558,508,942,345,787,476,884,869,778,801,508,989,156,184,450,966,841,
973,892,169,675,458,410,659,441,788,069,608,995,842,269,814,142,525,921,659,
621,026,416,942,694,169,073,085,370,086,998,976,332,484,287,737,569,830,367,
664,877,142,976,123,266,850,815,238,930,933,468,305,856,534,204,080,232,887,
716,592,152,707,798,277,124,799,554,981,398,050,330,800,517,366,023,145,929,
304,898,841,634,088,333,739,137,283,750,743,670,471,398,322,122,570,211,082,
041,863,350,444,031,993,862,824,681,289,535,071,986,600,478,553,135,140,700,
973,979,429,744,307,550,549,536,419,787,043,810,570,795,931,519,671,896,439,
268,835,816,518,541,261,335,158,055,137,746,038,507,699,761,214,853,387,374,
619,118,340,354,479,462,125,125,228,449,848,138,544,557,980,426,302,092,766,
277,516,182,657,491,151,601,273,896,940,693,609,623,576,675,689,976,762,665,
699,746,099,073,674,853,184,665,731,438,107,059,535,620,445,564,444,220,720,
850,992,791,354,050,002,847,843,737,835,451,110,028,435,914,943,036,001,021,
979,159,472,260,514,579,560,027,707,648,975,729,674,859,075,980,563,487,570,
025,158,403,130,760,231,477,991,152,340,801,348,394,115,352,283,421,344,660,
294,785,540,087,157,676,403,605,316,328,377,996,144,317,268,917,692,682,700,
381,317,473,345,722,748,148,633,363,074,238,256,093,301,572,771,336,126,925,
085,731,705,023,899,949,644,469,206,402,546,073,563,017,986,449,558,773,797,
806,894,977,891,593,561,349,186,453,442,073,445,038,392,501,166,348,682,824,
408,352,665,375,001,659,146,213,707,724,215,529,448,746,459,791,996,150,423,
124,267,101,639,575,779,289,061,801,422,863,572,408,359,414,580,909,752,580,
647,385,206,027,304,546,405,049,662,827,381,637,517,180,035,103,889,966,140,
691,445,223,826,271,287,383,788,093,531,300,590,534,618,890,612,092,620,062,
328,666,991,671,638,420,361,572,146,118,980,637,890,065,425,485,345,232,187,
308,006,608,020,871,251,786,749,129,847,450,881,889,490,103,707,776,513,479,
115,412,968,200,113,725,809,323,557,788,110,298,703,692,518,287,510,315,803,
914,087,581,356,541,909,703,442,981,323,259,095,353,987,221,088,178,084,890,
770,086,803,404,715,519,828,498,588,428,455,694,767,085,804,082,299,210,297,
280,068,211,885,105,966,450,623,041,434,598,200,085,149,417,587,469,891,036,
989,013,814,145,809,790,777,524,621,102,651,756,563,857,731,316,193,909,514,
465,542,305,576,992,865,238,392,868,774,688,474,858,330,357,508,612,687,948,
349,092,096,425,891,124,372,780,449,068,742,337,423,473,586,898,235,132,832,
447,356,492,945,344,971,881,154,553,075,750,769,329,097,074,760,759,299,990,
732,989,820,843,589,638,066,601,296,329,653,556,721,221,909,848,080,036,506,
101,493,337,219,868,951,867,057,895,417,318,236,542,569,029,696,072,449,052,
561,546,957,797,105,170,809,956,175,628,770,976,247,815,454,200,826,615,753,
204,351,347,069,162,049,809,425,128,871,487,381,236,736,113,156,119,301,903,
490,535,668,301,783,460,283,176,520,708,224,273,672,633,837,616,166,955,501,
725,426,678,227,565,212,032,161,874,086,858,340,197,683,343,448,965,215,766,
836,331,188,827,069,157,748,803,100,718,705,986,550,699,111,651,434,642,187,
214,522,992,122,814,669,729,264,021,347,633,777,986,548,451,527,307,210,428,
236,965,545,664,038,775,311,396,549,875,712,401,837,277,560,337,735,777,174,
845,717,119,389,381,260,190,665,126,393,036,806,541,926,952,586,925,660,964,
062,501,662,762,891,634,056,273,098,820,054,029,398,060,636,342,668,098,411,
439,140,865,986,231,493,467,090,247,883,406,854,332,220,908,116,638,013,237,
891,696,198,022,242,071,685,835,138,837,329,792,897,745,116,790,778,492,596,
764,254,651,100,950,436,760,074,882,823,185,234,919,234,662,053,242,798,141,
708,053,219,446,083,066,365,616,099,273,826,996,258,194,002,529,426,292,073,
539,246,983,593,185,620,996,238,374,529,785,300,654,220,099,394,834,160,382,
236,330,790,476,797,768,800,385,017,723,826,534,632,154,465,938,734,957,676,
124,250,811,827,755,089,842,604,621,393,453,583,532,182,555,766,454,316,992,
233,071,766,411,773,159,553,701,543,805,778,412,546,863,456,724,251,186,643,
496,556,120,757,385,630,780,829,311,338,115,146,126,047,373,506,997,047,968,
278,979,863,387,379,671,775,116,711,843,923,976,706,539,823,338,088,376,461,
511,702,870,969,482,779,606,741,161,464,668,350,719,179,871,116,462,303,912,
949,918,174,989,581,986,935,943,227,778,715,571,331,521,550,537,406,646,714,
682,637,134,762,620,156,441,378,699,552,783,341,477,665,471,563,803,465,523,
965,047,713,749,898,443,989,694,518,974,617,393,788,470,282,617,439,422,449,
483,615,461,182,609,229,956,839,206,957,090,815,842,117,370,969,223,227,395,
301,886,720,629,391,686,420,670,741,137,745,770,062,059,301,601,796,230,111,
148,174,233,410,333,704,202,779,530,635,338,842,538,993,287,480,195,073,512,
526,693,630,258,258,451,563,957,627,585,767,303,871,821,962,209,711,325,662,
296,962,763,592,082,782,673,610,433,163,508,304,543,522,456,019,100,846,185,
284,064,379,073,149,048,058,212,488,365,055,893,196,073,844,361,983,055,098,
387,768,437,782,409,502,872,419,008,256,481,366,205,023,952,458,045,339,076,
109,874,450,924,323,994,581,566,545,844,655,482,228,719,438,521,648,029,226,
697,062,160,049,309,369,998,296,807,689,890,900,259,155,093,119,887,110,606,
459,003,659,006,658,077,302,196,371,505,274,239,315,438,023,068,028,694,581,
144,236,500,121,722,635,925,858,674,670,663,134,509,541,432,421,065,397,854,
637,771,781,817,267,390,332,466,019,310,592,882,759,877,434,553,221,150,374,
321,087,216,304,250,473,876,123,011,655,871,903,434,649,837,996,157,958,701,
107,008,984,312,038,017,354,420,879,261,286,419,104,237,116,519,714,458,493,
377,256,890,816,621,210,057,335,258,304,218,190,487,133,418,433,857,994,551,
193,998,419,610,821,954,003,599,208,590,480,541,158,761,002,961,398,435,159,
908,143,505,381,304,938,921,336,027,706,882,812,803,124,215,588,061,662,839,
931,522,849,291,723,654,241,659,066,390,917,220,375,813,365,705,738,606,735,
680,168,929,385,077,793,231,894,207,067,607,262,876,912,356,161,021,795,506,
650,633,427,019,965,401,124,015,802,342,350,490,722,815,594,987,640,450,999,
543,890,167,217,753,387,327,321,740,589,616,262,243,619,515,917,006,443,543,
529,290,816,913,078,909,277,162,293,112,898,257,621,327,992,120,268,908,888,
556,686,800,429,352,083,336,590,162,522,738,566,668,996,607,733,761,780,265,
419,752,641,883,920,519,107,271,260,370,493,963,397,148,383,388,799,527,984,
666,291,297,551,130,480,649,610,228,278,650,605,161,674,183,691,174,757,698,
849,045,352,667,319,618,541,061,031,814,508,263,668,419,842,633,076,958,961,
766,073,774,796,940,014,944,500,550,166,041,185,242,399,312,287,922,631,220,
055,778,570,372,285,004,622,026,106,263,714,290,864,093,347,958,012,815,840,
847,085,647,346,550,367,979,831,516,425,273,789,335,819,988,761,543,849,986,
821,181,130,878,543,450,737,418,070,189,590,437,764,329,044,143,981,658,351,
465,147,972,013,841,650,995,360,543,259,981,535,119,190,887,685,570,232,609,
121,392,389,510,564,238,627,510,080,730,302,418,631,281,351,943,666,262,058,
435,321,088,206,841,013,836,705,594,643,875,080,705,427,401,794,868,717,008,
180,262,269,070,549,204,420,850,618,249,904,362,120,848,713,768,683,346,789,
349,538,319,399,506,849,326,065,871,775,035,883,409,905,812,234,366,109,227,
069,192,801,626,497,525,359,265,107,216,722,612,471,157,551,912,256,340,317,
799,646,547,946,701,845,492,774,582,456,450,589,048,782,678,553,633,181,829,
896,845,838,109,711,729,062,195,924,009,391,103,658,464,939,252,270,703,257,
841,430,344,421,119,963,717,009,952,433,647,320,620,543,156,469,354,557,070,
363,599,375,360,601,669,462,466,810,090,620,104,109,883,317,642,320,930,014,
815,177,010,315,914,061,198,681,256,279,886,442,805,740,689,877,630,986,359,
133,228,465,061,163,132,896,187,798,574,620,477,574,089,883,321,436,830,594,
621,757,185,039,927,714,504,209,891,064,953,150,695,731,086,619,901,528,708,
314,596,995,610,488,724,235,752,750,275,717,918,302,173,272,498,351,097,827,
105,108,792,313,731,624,847,227,666,342,167,887,068,441,278,116,206,534,221,
024,286,795,386,583,121,435,177,000,907,053,722,757,897,828,858,795,620,276,
041,288,811,193,980,551,071,613,127,932,080,347,797,155,981,571,505,644,232,
422,952,778,709,595,211,744,844,910,779,627,650,635,992,372,296,786,329,381,
945,267,933,853,118,352,112,029,163,313,274,425,729,401,962,861,212,989,499,
768,192,953,183,012,807,879,917,833,082,462,544,495,322,910,424,436,006,903,
314,226,453,047,860,845,926,250,599,810,587,936,931,819,456,928,243,459,988,
495,262,661,763,492,613,194,572,887,708,121,675,066,699,674,930,430,706,994,
627,508,439,972,670,009,670,203,874,794,805,733,067,029,100,130,327,147,773,
742,281,781,759,295,206,344,125,563,576,246,997,015,292,747,215,384,947,581,
605,365,600,811,151,320,770,364,289,433,410,503,469,238,171,929,398,409,660,
473,344,860,995,029,556,809,671,576,775,857,901,407,362,555,903,909,238,476,
761,098,445,193,915,421,013,623,314,612,510,396,489,522,723,258,101,998,198,
032,444,491,655,701,079,111,672,680,355,144,695,624,852,997,075,916,534,406,
413,877,895,753,253,023,545,504,700,592,639,995,996,602,356,731,313,731,754,
384,679,434,795,718,097,742,724,041,818,816,506,312,340,774,514,913,194,252,
073,275,955,643,791,348,046,431,590,568,844,813,103,095,076,625,290,598,288,
498,936,207,701,795,178,345,450,452,983,450,214,629,652,351,137,208,850,893,
037,650,621,707,733,707,877,601,033,652,688,423,517,340,002,179,683,717,919,
564,571,636,402,652,490,526,821,524,502,520,329,829,654,041,830,445,426,485,
089,519,933,461,000,519,355,230,383,613,049,102,652,152,912,178,423,866,945,
649,391,855,263,114,891,012,655,813,550,794,059,151,856,455,045,321,677,425,
034,774,605,017,963,448,132,162,298,631,574,997,417,012,350,900,563,849,462,
948,635,763,858,638,238,127,062,978,496,927,566,576,668,321,822,150,781,678,
291,962,309,260,313,961,970,565,997,420,359,636,583,537,320,299,986,278,310,
872,455,193,687,269,507,842,000,316,771,845,920,352,785,179,088,681,488,038,
146,167,426,432,370,023,800,608,834,647,911,364,715,022,686,264,681,020,746,
232,086,158,739,622,605,834,706,928,086,132,758,269,290,341,535,890,736,594,
496,249,289,040,482,839,454,035,818,958,463,220,675,047,730,564,477,688,746,
452,557,139,174,651,025,449,970,874,128,329,218,288,063,971,644,425,238,262,
614,324,103,706,171,421,126,987,553,497,989,154,830,273,572,688,005,234,559,
094,492,611,761,438,659,959,564,618,824,119,346,102,723,840,209,902,251,406,
434,815,700,529,731,042,805,930,668,052,639,975,093,282,180,149,943,254,724,
056,851,610,601,972,657,490,437,706,537,252,896,601,506,604,599,448,301,017,
697,278,925,277,859,128,068,714,589,014,482,467,446,773,559,881,787,302,248,
846,597,034,620,238,725,802,718,411,175,802,096,448,368,192,958,142,226,831,
369,306,117,881,462,442,203,511,195,898,034,115,319,068,589,049,813,838,267,
602,235,266,243,773,924,662,823,189,401,432,750,090,412,933,837,831,621,982,
873,553,932,358,354,190,122,779,486,369,778,431,543,214,827,425,607,239,862,
700,967,535,993,453,225,709,889,010,139,385,350,012,561,326,597,000,619,164,
699,315,344,392,205,611,181,597,490,844,854,235,787,013,959,444,277,052,421,
857,524,156,009,430,715,647,462,168,122,958,282,501,311,786,009,809,562,372,
161,122,379,623,703,044,032,830,731,237,449,136,176,547,477,421,409,764,716,
867,355,398,077,798,264,325,753,987,221,654,100,553,337,553,310,916,426,987,
621,839,982,290,567,399,861,548,173,892,994,921,978,218,022,993,660,723,953,
649,729,198,004,405,488,663,892,938,200,433,597,254,531,518,399,855,598,119,
968,420,566,999,147,789,162,214,741,060,283,917,644,577,882,500,886,402,113,
052,987,087,955,832,509,038,592,654,856,464,092,788,156,669,896,404,978,522,
844,030,394,072,673,076,641,131,043,608,776,484,538,791,916,596,597,096,646,
846,190,283,729,352,981,391,665,741,888,074,859,235,482,831,792,253,169,746,
028,794,129,993,630,444,435,177,063,381,385,504,711,781,801,349,829,142,671,
830,588,115,541,129,182,141,260,145,562,201,345,492,314,877,706,423,497,518,
311,634,022,328,053,007,031,765,132,073,548,088,017,111,472,460,432,248,643,
442,862,973,772,848,625,561,738,212,691,647,287,039,358,064,676,771,796,878,
870,961,458,940,638,229,977,175,072,372,188,540,488,499,261,734,517,509,860,
977,976,830,806,183,192,562,595,085,210,672,439,725,134,051,189,628,273,721,
905,498,052,695,167,384,761,793,469,161,757,522,292,650,117,918,408,034,884,
647,588,258,718,677,412,573,809,607,849,960,281,117,320,273,244,567,192,448,
658,936,680,147,611,334,188,086,909,376,446,071,689,537,471,617,374,984,055,
936,343,395,410,425,007,261,147,380,267,421,221,298,774,047,882,543,498,854,
120,576,021,418,679,954,534,159,924,097,894,300,398,584,065,618,509,276,081,
760,320,747,936,141,186,983,527,960,144,323,048,487,960,876,520,421,284,643,
354,042,243,479,991,850,152,960,952,868,076,695,473,068,862,110,470,692,063,
924,781,833,829,385,863,633,603,180,350,304,021,695,866,758,111,145,499,751,
000,279,267,892,470,298,333,881,504,262,131,415,304,221,721,565,115,825,192,
480,145,586,671,682,872,344,347,818,794,163,444,716,129,745,252,929,721,341,
911,930,299,201,394,653,795,563,413,995,248,106,674,653,879,892,153,911,727,
830,586,850,309,537,684,532,479,029,765,384,257,552,415,791,301,885,236,139,
768,166,289,323,665,096,775,113,913,023,025,141,332,016,992,611,014,544,483,
231,156,320,765,494,037,037,403,313,158,590,842,199,114,510,157,288,210,161,
595,014,301,996,954,518,308,245,072,945,477,733,375,436,480,759,329,893,511,
824,083,319,660,235,958,631,776,722,639,627,429,736,731,774,939,518,857,818,
758,612,492,542,248,339,151,083,902,136,799,443,459,525,531,873,386,451,937,
732,691,569,674,260,125,369,894,731,296,691,523,240,098,283,166,930,616,789,
835,869,372,726,733,919,340,380,011,751,240,975,426,843,166,136,723,598,572,
304,595,567,550,320,227,080,262,605,789,038,124,471,155,452,831,078,309,348,
694,372,831,202,040,225,125,900,108,603,418,167,587,684,759,234,074,639,684,
644,031,365,472,484,750,279,286,184,189,670,917,102,884,589,082,367,191,097,
717,078,529,846,901,618,454,587,567,818,274,635,838,164,846,503,739,022,813,
512,881,168,337,878,034,503,245,324,675,025,652,201,303,472,878,642,358,595,
323,369,922,969,944,118,587,526,856,566,865,814,931,177,659,071,349,217,798,
490,598,445,115,644,796,644,562,121,516,426,241,634,625,901,597,406,918,408,
738,135,242,153,633,778,728,286,372,274,673,049,875,790,962,157,769,074,501,
862,666,989,646,640,866,235,304,947,372,464,047,200,028,609,702,399,875,032,
413,281,342,828,814,758,228,691,987,762,172,509,932,458,895,032,367,103,717,
858,930,655,680,640,455,790,199,702,042,445,571,517,733,045,730,798,904,809,
998,790,888,557,627,075,639,989,821,979,531,006,709,940,508,793,135,936,476,
420,817,062,723,356,988,038,769,019,632,011,819,199,119,360,642,801,628,426,
258,610,364,664,712,149,119,725,284,257,974,526,477,640,951,656,394,177,415,
276,825,813,813,449,341,262,975,461,752,175,767,768,566,540,820,274,564,189,
075,609,597,708,635,896,517,669,905,235,530,077,151,503,979,167,361,249,577,
920,002,587,555,171,202,806,649,641,667,039,277,906,306,365,628,877,753,659,
727,879,431,284,630,693,598,290,147,189,432,576,752,453,409,014,580,141,040,
816,859,954,634,545,108,592,936,038,602,125,183,574,499,710,756,977,061,102,
560,039,913,459,863,359,506,778,199,928,769,627,119,345,223,784,137,383,881,
156,930,845,029,251,921,657,179,190,539,040,145,424,341,184,103,464,231,943,
664,070,855,904,657,276,027,607,203,714,556,687,495,213,493,055,974,753,664,
081,647,893,543,564,456,447,987,333,983,110,052,001,555,911,322,839,153,272,
202,930,391,318,231,529,575,441,516,227,878,190,555,093,899,023,470,322,445,
829,484,223,268,732,654,123,385,608,306,819,146,504,678,144,223,009,063,430,
162,292,211,168,674,464,675,979,937,202,368,578,070,584,800,234,145,594,599,
376,401,416,231,032,467,161,338,045,699,656,655,486,076,167,879,498,541,634,
828,946,480,307,726,025,233,397,166,010,234,534,916,832,798,158,651,836,718,
829,959,519,299,938,736,866,709,506,823,075,302,965,141,295,818,193,136,853,
459,872,397,521,455,630,027,796,997,511,944,804,461,594,455,519,938,461,803,
276,624,738,435,023,916,732,289,965,771,254,755,625,711,303,238,658,351,886,
752,012,797,360,868,111,311,124,724,398,152,534,257,735,168,259,782,835,716,
323,845,975,118,591,009,031,414,886,407,574,388,085,553,897,172,293,706,854,
385,876,478,891,480,182,055,405,696,092,175,694,684,519,871,545,311,008,403,
588,871,656,872,377,230,281,090,187,038,206,681,712,205,227,302,665,291,691,
789,782,358,080,173,405,636,486,861,991,059,704,944,438,376,414,259,454,383,
504,766,053,866,767,988,011,825,212,217,337,642,831,148,322,441,895,031,658,
829,769,152,675,872,544,476,430,114,006,939,803,159,061,513,911,004,182,963,
299,285,951,700,358,673,560,266,260,512,475,781,708,774,779,223,155,892,639,
713,481,834,456,146,551,869,020,292,214,890,219,216,406,476,702,320,169,423,
860,901,497,762,857,374,157,553,278,864,635,799,152,946,457,586,517,236,540,
967,976,518,927,665,773,141,999,874,354,080,853,152,462,984,911,858,694,551,
753,575,195,635,949,327,583,409,785,324,990,625,024,495,804,764,470,179,077,
130,895,076,895,892,768,407,384,427,877,408,768,669,806,951,219,713,454,320,
453,490,988,831,797,176,352,634,259,037,774,245,788,192,327,035,285,644,979,
274,009,393,484,772,255,681,233,926,727,001,142,378,639,468,519,547,742,416,
014,862,586,947,842,626,659,555,150,505,118,539,872,504,860,092,215,486,507,
934,757,701,464,483,651,033,963,601,450,802,356,236,789,252,686,729,770,784,
481,339,436,843,742,899,069,648,008,793,603,642,230,068,949,370,598,010,530,
630,647,334,642,113,136,853,504,102,662,062,909,899,163,628,320,717,155,466,
479,870,775,268,152,462,622,884,319,429,100,417,247,909,737,836,731,170,374,
382,537,299,650,284,474,784,906,423,697,147,088,268,332,040,578,783,845,521,
337,773,259,945,532,747,462,023,973,400,460,387,928,736,444,549,009,394,738,
836,823,760,522,433,252,899,975,020,820,151,398,567,868,825,096,090,323,152,
964,854,388,110,090,760,760,039,589,161,532,443,030,508,534,042,794,979,514,
593,777,813,240,617,777,161,226,172,216,955,563,259,151,501,093,516,462,612,
243,310,271,633,336,208,102,601,053,408,949,348,582,468,745,232,590,505,460,
843,921,753,664,585,574,187,228,448,655,033,662,488,225,995,128,033,399,822,
198,147,496,886,135,509,951,129,400,892,176,214,308,130,425,467,404,023,875,
522,486,872,671,483,802,474,299,510,867,880,367,709,933,132,590,675,544,771,
839,485,305,004,529,875,139,017,193,933,555,804,386,928,679,462,380,144,159,
182,402,928,806,773,691,190,150,052,413,838,252,759,610,281,306,808,729,870,
676,806,944,697,933,727,653,981,562,713,722,851,002,306,461,529,347,083,378,
144,578,874,527,687,619,080,489,968,662,468,759,870,229,979,773,900,286,721,
931,324,599,445,915,861,964,758,537,247,784,329,720,377,605,280,617,898,799,
800,487,613,893,385,935,265,842,350,625,026,421,718,224,003,237,257,900,005,
969,141,325,530,232,460,140,797,722,226,016,920,848,830,891,478,456,031,303,
522,386,646,269,916,881,688,812,005,965,132,343,730,174,903,918,917,284,150,
693,387,054,706,936,023,840,835,991,759,347,734,098,599,644,981,918,207,398,
512,060,347,231,174,381,678,013,862,770,089,222,084,622,514,733,706,782,641,
408,062,542,878,541,003,939,711,154,054,230,625,910,953,093,484,422,418,725,
481,399,165,346,469,615,443,629,788,391,468,372,047,822,757,291,124,321,233,
910,050,206,586,493,878,673,139,950,825,232,557,004,080,298,510,390,495,487,
761,478,542,202,340,192,838,331,172,310,733,538,322,772,918,714,676,552,895,
214,029,044,779,342,594,567,969,790,173,752,137,941,690,865,575,218,803,839,
683,496,775,161,467,871,068,189,161,255,158,861,410,497,080,826,405,092,867,
270,137,380,355,639,431,136,938,285,431,356,690,027,953,951,296,864,186,522,
868,440,392,497,578,961,279,303,086,216,024,809,574,618,569,276,163,910,021,
996,443,198,860,142,456,374,693,056,786,886,273,540,727,207,489,331,878,629,
857,834,714,570,665,714,464,706,060,997,412,668,467,649,357,095,538,103,322,
792,517,713,374,064,692,243,349,470,594,758,835,371,012,541,471,774,344,761,
610,884,527,730,246,940,570,549,076,916,042,291,876,025,799,010,096,557,472,
507,563,052,161,391,883,040,513,855,587,406,209,868,190,648,913,071,188,486,
901,776,841,005,092,239,052,250,809,266,280,305,008,983,151,550,093,934,483,
692,914,201,019,838,512,194,980,185,843,864,650,970,214,357,577,564,056,658,
600,575,666,002,949,319,096,477,419,411,036,885,694,098,775,519,088,342,873,
175,196,121,817,593,030,843,510,644,468,228,365,546,778,797,645,424,226,059,
217,071,251,109,572,538,477,333,897,968,983,873,867,980,647,783,889,697,378,
892,497,080,821,262,726,977,908,952,578,990,832,985,460,010,004,022,040,695,
841,009,174,058,432,569,209,932,487,195,001,364,614,757,678,496,927,896,437,
010,479,282,572,386,921,480,332,735,417,475,904,977,975,996,132,753,630,954,
398,553,341,903,733,124,881,633,177,450,503,435,034,145,121,319,131,595,017,
296,910,193,401,818,908,654,771,798,456,831,302,513,396,337,498,528,880,878,
340,791,600,748,158,290,895,467,894,601,848,296,821,021,254,914,371,232,617,
950,991,983,220,590,469,919,157,403,693,907,089,854,167,952,809,490,070,763,
971,812,540,470,947,711,382,745,486,313,004,124,620,761,480,032,463,651,370,
505,690,438,268,452,807,351,876,423,811,806,232,632,244,075,185,201,224,524,
797,693,405,675,182,520,674,312,957,045,496,332,718,512,667,135,234,048,586,
624,606,143,264,253,531,040,290,253,454,961,166,474,126,418,672,689,578,362,
625,741,066,313,303,727,693,315,686,167,676,894,675,683,834,722,401,565,759,
012,598,687,607,286,262,054,750,942,893,244,188,807,929,940,578,273,736,801,
567,964,586,481,391,864,130,411,308,709,354,589,842,184,098,469,727,328,193,
531,542,922,744,328,411,213,871,417,877,962,063,737,443,006,369,688,783,837,
143,900,345,542,396,472,685,340,018,141,689,396,941,689,601,054,082,521,369,
366,464,096,134,588,440,666,768,248,637,582,597,061,146,267,697,342,917,609,
368,698,122,628,533,078,743,240,973,387,919,655,782,440,598,027,183,922,426,
941,740,576,341,763,993,944,006,341,904,208,805,717,313,012,239,297,489,152,
627,809,080,768,929,448,647,033,177,017,209,160,227,792,858,279,117,468,626,
546,329,814,846,598,301,890,381,125,081,994,264,723,479,350,387,747,052,891,
671,648,630,953,999,660,381,191,891,948,161,366,218,959,078,730,389,612,320,
391,171,153,131,089,627,588,188,482,538,163,027,207,059,722,820,786,719,261,
462,623,513,850,112,101,404,621,165,064,872,558,557,843,806,197,953,339,250,
004,052,182,608,767,768,436,005,719,443,495,500,039,289,913,855,500,134,752,
476,330,698,014,959,618,480,981,173,479,714,554,925,476,768,530,658,204,798,
253,262,510,115,806,053,403,799,401,899,262,808,498,040,172,827,967,379,098,
556,347,276,475,103,699,378,140,796,473,657,826,018,886,063,212,558,959,073,
950,888,943,071,465,436,947,575,318,038,959,214,714,640,729,265,660,539,146,
353,366,748,769,269,310,879,310,840,191,784,232,416,212,600,002,065,844,427,
231,637,934,592,086,027,049,446,768,278,865,508,649,093,977,950,673,794,518,
731,990,649,147,106,101,065,315,551,069,333,839,521,414,793,035,618,039,126,
132,716,194,452,109,378,190,369,252,275,407,179,871,690,141,613,124,520,311,
936,479,664,677,138,907,980,261,463,757,663,720,489,129,451,007,286,590,397,
821,941,539,556,001,251,298,533,070,054,583,119,621,373,316,334,884,310,027,
775,002,685,989,925,433,742,629,176,314,840,729,035,094,715,934,675,500,467,
584,611,746,288,186,142,115,321,593,765,787,202,273,488,843,003,143,629,344,
118,192,372,563,588,077,182,125,321,832,561,524,788,016,790,604,123,406,514,
739,621,031,123,426,959,205,096,300,376,245,474,781,850,864,452,188,049,079,
972,831,307,935,429,863,623,193,356,586,748,767,538,318,417,247,475,031,176,
517,192,020,106,583,150,125,183,104,935,722,529,796,634,748,216,538,779,309,
822,667,643,336,270,577,674,564,814,321,045,969,668,364,192,816,996,201,786,
477,082,398,487,385,469,701,389,741,549,174,079,612,153,905,219,747,036,515,
263,402,517,220,104,358,715,742,277,447,939,354,007,042,349,066,187,719,001,
997,668,495,737,153,802,580,445,918,714,985,601,278,372,382,578,975,107,893,
129,441,354,807,477,484,331,712,524,970,969,256,998,995,190,172,529,709,902,
101,198,268,946,374,436,136,811,282,994,237,449,064,381,198,907,402,573,888,
966,134,440,351,651,165,618,369,018,579,563,360,839,269,805,049,260,364,384,
314,509,703,409,893,484,731,358,096,117,973,094,265,473,409,056,597,581,273,
986,183,214,282,756,691,057,359,951,271,165,846,148,900,817,430,518,576,406,
980,196,171,838,444,821,645,035,169,346,949,181,462,602,016,089,095,156,208,
041,689,962,094,722,035,797,393,888,544,764,269,980,047,346,449,539,432,383,
130,601,169,191,780,249,516,490,686,033,536,896,356,711,885,417,333,011,941,
279,191,590,464,266,298,848,367,333,608,935,993,288,676,802,264,550,901,043,
724,408,829,368,683,924,925,690,907,694,683,633,437,263,340,601,439,993,568,
542,093,221,838,026,169,229,820,316,944,913,535,683,405,059,484,858,026,497,
476,719,439,625,745,010,450,413,877,910,120,471,708,559,021,475,399,380,321,
888,516,807,806,001,404,450,431,547,556,742,735,956,394,736,613,042,791,622,
689,042,816,393,165,449,105,884,909,386,025,444,059,424,050,066,692,216,555,
272,869,908,181,001,548,685,138,950,926,082,732,172,845,112,349,089,943,184,
267,530,865,696,876,638,370,004,476,140,590,620,862,737,994,728,587,135,602,
597,102,614,876,400,884,621,783,047,445,897,610,334,384,524,958,352,876,172,
202,947,735,291,410,884,448,069,772,006,814,721,453,626,696,980,557,640,046,
157,364,936,013,040,825,569,368,763,963,330,151,547,949,640,421,159,725,344,
268,181,257,691,766,106,850,446,233,982,446,449,383,102,392,940,511,980,358,
315,819,421,936,995,190,481,908,565,969,611,622,144,480,623,656,598,112,930,
759,105,613,491,448,976,822,363,816,909,561,039,318,877,963,340,947,329,343,
796,225,742,659,213,070,807,480,138,736,109,972,999,059,693,328,354,758,474,
748,137,429,987,542,777,052,599,268,531,056,953,835,570,000,785,742,137,375,
660,351,316,962,108,243,720,389,091,790,277,385,998,523,588,052,037,289,078,
902,598,701,108,359,513,204,681,530,635,955,168,850,698,737,985,841,778,953,
227,636,436,550,288,726,364,455,052,343,288,074,476,410,033,002,646,888,640,
980,776,100,538,883,289,561,557,989,768,232,571,891,116,679,556,791,272,849,
444,065,518,069,380,975,759,955,052,001,332,195,142,404,970,526,325,375,585,
946,909,661,131,506,402,598,764,395,061,558,022,579,349,730,012,001,346,503,
719,948,944,739,274,518,122,477,473,321,747,724,096,261,129,682,684,103,680,
830,225,208,819,024,729,832,168,648,493,355,757,528,467,532,371,820,572,804,
074,362,439,027,868,161,194,754,934,929,926,478,915,563,788,473,332,402,003,
841,279,715,959,644,723,487,395,760,018,085,381,747,891,231,739,045,421,659,
268,095,044,149,988,144,830,437,760,489,793,084,026,431,595,004,663,432,335,
901,674,614,281,169,189,620,604,338,823,343,349,261,788,434,205,008,301,596,
208,633,250,098,007,057,941,170,679,833,266,363,185,401,660,490,223,113,887,
230,888,048,888,321,165,794,898,732,376,862,924,993,203,956,365,304,881,388,
228,347,601,647,251,373,275,182,666,250,686,460,645,226,657,606,915,660,697,
227,097,777,763,389,931,514,623,810,685,370,682,064,460,055,664,141,300,395,
746,355,396,917,679,683,526,085,450,110,678,465,405,661,081,226,069,568,195,
505,956,536,313,755,104,258,775,385,313,414,676,778,348,736,742,301,172,328,
466,525,614,520,806,434,170,104,492,083,481,612,866,705,893,908,314,930,911,
271,962,251,385,443,973,457,572,163,180,890,626,524,561,658,846,577,166,141,
944,069,362,881,160,234,333,787,447,968,121,433,387,261,398,573,054,637,816,
311,962,289,766,405,117,511,063,187,020,279,034,918,616,120,141,346,807,056,
819,824,481,976,322,020,280,345,599,074,906,976,188,970,604,873,051,092,610,
241,164,533,974,102,148,186,508,543,841,385,678,068,162,306,299,498,389,064,
078,641,364,304,142,048,720,866,382,753,506,638,459,168,864,638,394,559,062,
559,909,996,093,922,465,489,025,259,263,146,936,690,176,723,371,751,582,394,
628,580,514,640,506,679,192,248,942,893,512,927,966,969,608,238,404,250,396,
300,661,911,229,497,108,381,823,512,078,094,948,937,989,301,946,528,077,969,
035,115,913,287,278,422,112,601,888,812,725,821,772,664,200,672,258,483,945,
141,057,037,236,616,804,769,744,505,392,627,708,219,653,427,016,180,578,941,
285,887,125,364,607,002,163,856,945,911,497,145,258,890,742,475,232,209,075,
537,782,273,198,527,907,391,644,377,271,850,298,683,980,725,949,861,378,897,
322,988,498,237,208,348,266,547,103,430,667,036,150,221,030,095,347,141,507,
823,576,383,308,381,398,464,563,079,550,927,235,525,841,984,655,921,163,164,
405,909,667,665,984,601,666,152,386,073,533,172,865,566,616,671,454,105,844,
448,713,584,334,988,053,531,348,190,243,585,585,950,461,094,588,995,752,799,
848,294,143,891,572,781,491,779,592,853,421,096,615,553,968,181,827,391,672,
101,988,271,274,087,897,138,444,538,618,367,654,837,030,258,617,899,305,012,
226,829,829,223,717,339,952,149,626,612,268,352,409,774,291,004,751,074,457,
292,381,651,712,898,358,918,133,244,603,912,740,065,618,498,846,914,688,655,
878,217,735,470,801,841,597,844,311,336,220,096,185,962,206,044,164,193,002,
317,754,839,965,004,970,023,450,581,603,730,443,731,714,977,746,836,117,629,
613,843,003,365,128,991,346,189,782,518,803,618,328,194,927,661,294,719,688,
834,345,713,419,414,482,541,850,659,422,031,843,358,703,427,980,959,840,538,
645,350,687,152,317,302,551,554,146,912,834,828,773,283,924,579,444,768,874,
999,514,832,171,441,116,014,949,196,473,594,962,095,312,015,845,253,038,234,
186,014,609,951,240,389,693,881,430,031,035,238,850,867,466,794,932,062,640,
233,429,870,526,804,153,427,357,963,148,031,833,058,145,200,956,171,536,922,
103,440,366,262,831,329,737,769,542,273,992,165,634,427,331,254,965,686,149,
189,092,203,223,892,520,124,951,234,764,087,032,563,054,622,934,982,001,192,
064,855,787,605,851,939,978,599,035,083,865,759,301,870,167,748,532,206,591,
632,173,038,200,932,491,612,806,991,523,499,198,853,582,293,266,401,558,360,
563,626,024,940,957,257,992,128,427,538,527,111,479,038,504,539,606,763,969,
287,146,165,826,804,006,084,482,609,215,340,446,411,420,720,849,730,919,540,
064,785,233,847,689,658,169,902,462,908,025,482,865,537,989,591,372,870,414,
981,531,845,442,998,739,004,138,007,767,278,844,195,525,768,799,079,967,169,
718,972,366,008,654,073,717,341,399,435,100,310,393,580,105,797,408,186,301,
705,514,340,944,882,450,858,737,081,835,779,692,822,763,751,764,796,497,531,
147,516,357,396,381,286,578,917,048,657,149,756,765,211,725,983,778,892,693,
410,789,965,984,261,174,020,976,174,296,432,795,881,353,458,834,386,053,209,
051,316,424,336,627,722,983,659,308,995,334,075,919,878,524,377,253,848,435,
813,180,920,512,597,628,123,527,876,529,922,889,330,892,722,085,884,254,665,
369,289,096,379,090,930,189,048,383,986,164,184,280,811,235,837,940,082,879,
798,351,189,820,046,839,644,171,582,736,834,359,396,699,260,669,420,579,786,
828,681,660,705,617,025,468,613,798,052,139,507,564,605,685,265,556,873,707,
113,132,601,348,462,738,399,690,976,354,098,189,376,470,154,166,537,086,114,
433,453,656,453,528,907,940,573,776,837,453,171,693,081,423,588,135,433,723,
968,973,946,580,078,009,677,419,993,054,635,683,974,268,224,224,634,977,087,
381,115,057,771,674,945,785,906,776,466,167,810,916,249,750,219,712,580,942,
259,991,598,219,964,098,844,662,244,876,330,681,400,189,583,079,701,376,856,
317,052,124,961,366,110,901,797,746,763,134,505,911,191,253,676,547,804,255,
124,571,319,112,416,875,684,386,332,587,486,778,988,868,341,070,244,120,561,
287,698,832,530,445,588,459,025,910,849,953,473,475,217,559,587,308,903,340,
206,099,414,510,792,682,605,431,393,491,002,362,070,628,950,627,631,754,994,
588,647,726,383,892,792,031,523,060,864,040,175,519,674,734,821,776,575,958,
699,568,456,950,917,498,241,016,703,739,943,556,297,596,843,619,080,237,177,
722,405,733,330,093,467,446,728,484,330,449,545,481,060,311,840,562,400,346,
250,694,852,765,078,929,455,893,327,725,431,133,981,278,575,916,450,910,486,
868,960,496,082,135,073,492,294,604,240,114,309,168,952,003,377,491,764,956,
351,535,691,003,410,287,419,670,706,680,674,226,319,093,918,040,819,499,936,
301,149,813,695,683,789,088,061,817,407,365,813,926,798,288,036,540,479,609,
076,399,348,129,123,144,996,312,575,293,992,961,545,151,908,227,266,359,990,
799,928,108,376,953,766,381,794,713,649,612,250,412,131,701,774,592,494,514,
010,725,202,478,133,769,557,421,760,773,520,822,423,943,082,864,989,016,508,
209,934,016,749,186,568,170,066,995,249,810,581,003,497,221,160,361,994,215,
602,362,706,146,798,427,797,703,863,556,509,016,716,545,807,864,167,595,279,
410,620,847,413,157,832,108,908,761,875,932,884,481,995,247,939,761,605,339,
307,176,565,559,011,182,891,174,791,910,445,826,288,238,462,468,285,617,437,
950,995,498,115,017,628,368,495,403,439,585,172,486,619,623,919,777,327,041,
962,954,541,434,008,075,730,990,634,441,658,161,699,382,234,522,063,623,139,
172,157,272,572,257,676,496,914,292,343,151,978,224,482,609,979,941,292,509,
610,290,823,410,062,274,960,520,413,879,332,411,078,525,486,965,205,102,272,
530,819,098,754,097,088,081,116,717,615,019,067,249,054,523,879,345,999,120,
010,257,558,240,000,148,194,369,626,098,360,160,458,420,908,310,627,237,007,
544,722,153,926,992,963,289,530,267,843,550,257,541,231,479,886,551,551,798,
299,701,819,035,444,745,689,065,750,011,415,875,720,874,198,646,082,038,671,
641,851,094,822,924,584,952,102,418,925,837,785,140,020,868,447,319,803,730,
061,328,784,147,766,084,213,115,031,682,573,422,614,470,775,242,058,959,315,
326,893,009,455,377,761,293,058,739,808,991,559,374,220,339,620,506,548,467,
116,623,020,928,222,279,215,614,173,746,269,671,610,097,110,859,702,100,685,
598,114,895,107,162,602,157,327,216,666,813,995,606,502,112,068,136,302,124,
788,430,391,598,385,391,231,509,799,256,401,725,585,830,021,323,839,260,412,
156,365,405,651,299,151,284,386,963,975,124,054,928,636,034,679,669,207,045,
895,117,703,482,500,099,465,542,134,538,436,715,018,037,919,209,933,675,939,
045,311,717,867,592,759,368,516,447,179,580,099,662,776,134,323,029,907,575,
357,852,713,705,475,275,788,861,264,792,743,027,597,317,678,053,726,620,452,
159,243,016,957,716,916,235,205,900,357,552,647,018,936,711,370,848,271,882,
353,175,339,610,817,299,634,799,189,962,805,828,011,620,832,642,175,629,840,
109,634,612,503,649,375,863,332,214,149,059,190,786,703,129,399,367,728,138,
406,103,311,776,711,883,901,086,572,659,157,663,069,661,765,485,629,990,546,
732,709,913,136,697,418,373,705,789,610,781,576,595,688,613,651,784,263,639,
963,566,596,705,419,707,112,793,579,450,590,663,024,155,984,792,123,113,727,
120,899,751,577,162,335,467,395,277,533,456,489,978,182,217,865,171,028,843,
255,900,648,517,500,846,559,809,019,812,790,004,963,415,311,068,024,994,269,
890,365,137,623,154,480,876,464,293,998,691,130,026,074,470,598,387,563,993,
360,700,428,687,412,299,911,605,126,389,368,816,760,635,880,245,323,707,789,
030,128,610,348,934,938,926,402,856,509,923,045,569,752,336,915,455,025,634,
644,982,709,923,100,874,440,214,446,367,909,571,410,914,822,129,849,387,699,
607,460,406,060,495,312,667,675,485,330,201,302,997,816,501,693,802,794,799,
147,363,101,221,932,514,552,180,144,682,632,259,264,575,335,907,145,411,752,
039,914,666,375,289,476,615,893,770,876,682,745,991,176,200,901,312,691,324,
559,313,712,564,872,309,401,849,959,742,273,213,148,780,872,901,304,435,691,
557,833,532,771,398,980,718,731,770,309,682,469,053,231,469,631,729,088,446,
285,744,038,620,743,113,017,926,665,750,718,715,263,856,422,484,453,806,391,
602,192,245,525,015,202,086,539,036,576,225,589,096,119,444,521,641,601,810,
127,302,004,684,817,336,748,360,015,659,527,676,380,330,490,373,935,675,560,
239,112,244,029,225,808,825,000,078,479,979,679,769,098,700,940,638,726,917,
179,375,594,285,915,133,529,909,278,365,641,463,566,629,996,502,516,981,174,
573,944,926,760,533,037,083,936,405,583,775,201,940,677,432,353,880,874,181,
541,900,573,926,856,936,785,085,124,416,336,036,017,713,997,483,088,139,851,
548,573,105,258,791,831,217,457,830,993,405,805,409,834,062,685,957,699,723,
106,842,800,957,872,677,779,151,615,280,469,903,013,459,178,433,832,777,687,
102,703,032,036,857,632,626,737,457,191,112,519,813,713,890,074,474,232,503,
223,352,322,465,793,667,631,950,901,319,599,450,724,349,785,985,139,232,243,
555,752,484,543,660,530,551,447,473,344,597,943,368,466,689,777,499,131,718,
553,417,363,437,753,405,775,130,404,837,334,847,797,681,760,068,399,574,528,
534,985,894,586,625,671,513,443,723,812,365,069,742,219,999,248,239,254,510,
110,572,687,941,373,473,551,999,639,408,277,555,534,436,882,082,639,819,031,
672,350,952,523,644,563,595,144,218,797,366,327,291,220,904,760,043,315,940,
835,146,183,924,837,065,326,528,690,705,294,621,765,499,139,740,092,477,078,
574,322,120,031,646,261,104,787,254,383,830,187,805,363,531,594,502,371,078,
046,070,203,732,978,453,666,488,131,182,286,081,274,697,415,050,657,426,436,
904,598,284,382,359,189,484,901,681,309,230,137,139,173,825,044,168,487,067,
305,146,843,106,313,571,357,605,881,082,444,088,416,169,548,601,859,056,997,
746,538,858,529,924,488,040,799,969,190,487,301,748,023,795,956,787,105,403,
092,272,915,451,176,100,909,390,544,057,497,688,688,471,369,363,319,480,558,
809,715,243,221,314,324,421,286,128,911,160,071,281,543,556,136,975,605,407,
235,800,162,182,349,125,840,512,142,203,951,491,542,138,075,798,629,044,302,
732,630,712,483,021,173,456,020,971,815,138,046,410,745,115,550,676,228,421,
731,581,738,366,814,940,780,809,566,324,061,237,302,427,447,009,640,346,915,
071,093,386,198,611,285,756,617,455,362,251,685,334,143,008,454,741,772,550,
905,246,867,435,085,463,804,652,971,503,958,926,210,668,876,811,588,961,089,
199,265,313,249,607,031,751,191,427,720,716,119,987,435,267,945,348,032,861,
422,762,079,042,677,353,414,559,024,258,931,982,247,655,015,757,007,343,923,
203,284,535,364,364,477,818,501,597,247,850,689,548,588,488,454,456,751,049,
395,612,473,498,334,155,365,535,253,672,711,278,702,718,717,810,072,294,074,
899,039,284,635,910,122,536,627,754,521,140,188,258,425,786,816,469,431,720,
245,485,268,957,782,916,223,407,161,868,879,799,126,125,503,230,024,529,837,
776,894,102,211,671,266,497,894,548,511,222,449,383,090,027,524,319,724,612,
911,168,547,821,249,124,149,656,360,439,567,673,339,616,728,110,325,302,618,
350,948,591,429,248,678,978,617,446,484,584,893,833,904,884,297,025,248,310,
107,026,476,800,708,192,833,819,601,327,398,592,546,836,067,532,050,991,507,
346,433,960,877,764,796,120,132,998,857,649,713,494,155,576,827,777,703,077,
754,576,284,283,448,756,606,553,333,869,264,326,913,074,033,211,885,625,529,
858,646,960,575,589,879,814,565,238,238,138,418,873,460,969,705,880,651,920,
650,982,894,876,656,800,293,982,821,276,399,730,389,610,580,252,360,487,766,
966,174,287,475,599,627,981,297,329,858,174,946,036,376,924,525,971,180,227,
178,609,139,984,482,954,560,924,677,611,784,566,538,599,712,339,506,510,453,
448,120,613,481,491,023,627,900,480,809,095,893,426,664,048,647,228,422,717,
669,069,772,314,021,695,664,430,365,017,236,338,733,423,116,653,580,693,538,
723,137,636,449,597,420,227,006,550,585,914,754,448,033,733,348,351,318,547,
532,567,798,797,933,449,357,183,653,580,323,281,014,350,351,909,441,526,288,
448,471,582,295,332,299,972,072,480,053,627,796,522,015,183,563,862,687,866,
077,974,643,507,338,074,038,256,457,092,338,264,673,840,274,584,286,934,167,
554,741,355,692,762,867,274,895,654,893,769,413,280,381,248,926,189,386,847,
713,556,619,588,656,424,871,842,549,613,965,088,569,793,056,272,011,779,261,
675,899,977,401,255,543,949,177,698,333,771,666,940,588,842,977,370,639,185,
304,909,314,827,951,834,946,898,920,121,232,369,765,204,300,915,503,254,776,
564,686,241,738,023,969,915,257,075,142,882,509,598,397,796,196,127,406,731,
792,955,884,443,855,308,019,125,544,064,453,313,670,342,558,962,358,784,227,
575,906,113,935,470,091,096,659,090,102,540,689,340,387,164,129,234,420,012,
120,523,307,966,174,930,608,405,849,818,356,379,451,036,259,134,550,224,318,
552,409,306,996,133,148,795,502,860,985,314,943,400,509,861,023,351,121,317,
103,193,806,620,775,952,415,641,953,559,808,462,030,765,858,526,668,804,792,
247,322,563,716,892,023,688,519,572,210,393,299,230,150,717,011,242,382,337,
171,737,033,930,984,912,537,024,612,324,950,061,903,668,992,055,546,925,550,
483,714,943,423,370,114,266,407,992,930,009,139,084,380,370,243,665,097,531,
175,445,083,992,343,267,856,384,719,937,405,396,076,891,000,028,458,972,855,
492,489,887,367,921,473,990,203,569,302,171,001,531,455,928,647,413,109,238,
028,534,794,033,022,839,114,176,028,777,734,112,134,455,812,466,615,844,206,
398,359,099,975,948,624,926,605,389,575,857,492,996,913,939,961,313,597,682,
776,491,827,496,798,617,307,775,043,902,910,798,754,241,450,964,729,329,314,
209,164,504,810,062,005,218,905,824,616,735,021,097,722,441,137,471,185,870,
417,125,115,232,319,506,419,040,723,002,250,171,233,410,565,601,106,782,228,
513,377,888,933,513,600,017,437,257,036,479,058,749,712,344,296,208,114,134,
885,044,902,584,968,093,673,703,098,588,836,365,610,304,629,447,570,650,773,
522,909,121,998,055,256,476,366,234,150,975,236,316,677,493,818,971,008,986,
561,067,090,743,602,647,956,795,491,647,516,587,836,652,713,771,458,090,226,
168,199,409,117,823,450,379,337,216,069,515,389,854,767,025,298,535,383,353,
631,499,812,017,877,674,733,074,568,553,750,654,233,664,982,097,824,551,430,
803,962,507,962,241,989,654,496,132,145,661,861,912,449,357,672,738,126,371,
924,366,812,908,912,467,606,614,448,262,924,363,999,793,496,336,734,736,244,
554,072,200,954,313,974,582,411,793,322,109,174,437,589,313,585,948,018,142,
834,243,702,485,838,957,853,749,573,896,789,200,059,837,984,045,416,100,017,
473,214,142,858,776,495,620,710,189,869,010,586,134,950,413,426,712,577,807,
821,688,027,261,757,995,816,330,293,990,760,702,322,228,468,381,025,809,335,
519,748,195,393,954,670,616,561,398,498,356,243,344,360,311,205,678,954,640,
641,815,984,799,242,578,655,339,977,708,858,805,781,394,199,271,007,283,315,
933,467,075,666,683,103,687,848,519,228,144,151,690,772,560,356,792,855,992,
402,814,342,742,069,823,548,551,227,738,018,019,500,393,348,396,029,796,257,
470,820,210,315,289,975,797,932,971,348,799,135,245,100,913,884,401,970,144,
468,824,116,496,193,312,139,289,800,277,489,229,221,922,904,491,845,206,556,
043,366,715,054,033,825,356,573,637,015,543,961,819,754,444,228,310,501,996,
123,154,938,301,384,456,769,079,267,680,195,874,205,665,552,170,612,799,962,
977,140,652,675,586,117,039,371,927,507,377,533,839,060,860,947,328,901,411,
968,608,345,847,033,538,425,240,786,916,479,083,173,619,173,285,808,964,059,
389,477,507,659,927,183,764,805,493,730,421,636,366,052,539,632,848,384,970,
549,062,801,180,516,383,855,742,282,420,847,671,801,002,335,934,853,704,513,
603,182,379,152,814,964,361,322,403,227,974,037,081,001,441,918,760,315,347,
818,450,964,859,305,897,855,458,595,976,889,726,681,738,429,902,779,196,986,
483,214,133,249,748,408,523,087,316,395,847,452,658,059,221,789,087,218,118,
843,950,552,423,430,015,698,274,810,513,548,655,016,298,171,114,234,798,420,
090,564,229,831,605,102,825,985,093,858,631,792,615,854,377,436,854,292,811,
858,548,824,804,646,959,536,734,372,416,478,761,584,945,093,700,575,075,913,
932,907,037,563,319,842,559,462,271,230,995,350,648,913,092,528,320,164,931,
785,889,821,205,074,060,082,246,377,444,739,211,428,544,977,342,850,188,872,
159,064,308,431,467,018,937,319,384,549,439,598,356,260,756,791,941,979,791,
972,407,003,055,572,378,844,306,956,118,694,255,619,079,560,983,265,000,258,
012,200,322,805,024,265,204,420,458,931,420,548,460,917,115,418,277,731,248,
818,439,041,431,240,946,933,532,385,687,620,039,684,633,831,483,648,250,790,
655,466,950,494,902,903,556,180,295,043,852,913,164,262,083,041,260,553,909,
313,858,415,323,497,419,702,881,653,997,636,056,758,418,493,918,493,243,012,
830,097,751,473,579,618,177,229,444,537,550,511,785,553,657,431,616,528,552,
887,373,240,949,407,125,142,309,183,113,802,112,049,797,904,997,479,239,091,
217,102,243,740,287,560,764,241,464,685,521,483,987,117,133,879,162,178,447,
244,401,785,219,919,618,728,104,717,425,447,363,779,294,950,872,329,663,295,
915,649,963,598,569,763,682,120,617,369,806,099,960,798,331,288,690,620,610,
974,626,823,287,822,120,220,971,234,973,777,077,065,312,741,686,321,531,110,
921,453,118,001,430,446,840,839,713,966,501,438,117,324,437,322,684,593,508,
205,136,607,907,758,860,104,881,867,340,285,161,222,223,204,836,133,261,443,
437,761,174,318,026,146,184,868,158,680,533,170,261,528,352,096,422,687,996,
593,496,758,643,730,426,259,919,897,459,410,626,141,221,491,712,961,773,859,
513,103,959,301,529,157,728,890,143,528,773,499,956,341,540,225,717,106,771,
805,801,643,397,328,192,833,471,951,703,382,386,462,338,004,259,091,815,222,
271,282,540,267,607,868,632,636,354,208,584,032,341,292,307,366,325,288,834,
350,816,401,212,687,288,735,946,536,165,503,976,309,905,059,266,557,240,016,
147,818,658,829,207,333,905,052,879,193,694,459,432,397,007,449,296,457,984,
039,396,214,633,136,325,691,488,898,624,481,305,846,398,384,395,563,090,645,
213,870,151,219,771,421,573,259,229,185,723,139,163,353,692,482,828,806,301,
182,284,710,853,528,748,574,478,574,654,507,980,400,816,213,553,554,381,262,
486,242,893,142,027,659,651,250,029,002,593,579,359,166,429,020,648,431,264,
295,279,859,008,506,841,052,148,864,059,742,606,555,340,433,580,230,484,157,
562,896,799,597,586,787,402,065,297,413,008,737,631,069,937,064,324,511,524,
726,031,185,099,430,867,736,273,774,428,317,122,196,272,151,912,507,390,134,
389,065,710,034,569,973,177,999,120,514,618,960,327,644,162,994,857,161,419,
560,170,975,362,759,853,026,495,473,114,891,977,036,110,525,991,820,499,793,
018,730,525,413,834,305,364,880,956,039,383,514,412,605,430,465,345,596,148,
592,485,012,613,848,733,503,024,469,705,054,113,997,102,029,098,202,978,844,
396,984,587,015,791,957,684,077,200,734,008,414,978,741,474,554,043,880,865,
511,583,435,598,444,450,227,486,849,724,842,278,248,456,547,421,811,158,650,
615,702,350,071,832,119,178,223,565,638,780,781,400,900,864,033,233,204,134,
234,643,383,035,135,271,335,011,990,205,555,284,368,819,074,540,155,312,979,
433,161,479,175,590,306,306,214,188,897,765,073,874,804,066,150,329,751,452,
893,188,041,821,976,598,957,528,285,634,241,041,905,318,082,341,300,044,519,
442,849,187,064,626,265,348,312,899,753,983,869,388,939,752,627,460,813,413,
711,844,735,574,788,055,928,065,486,023,301,166,848,287,424,417,169,853,602,
579,236,947,079,286,527,570,580,989,504,390,420,283,937,260,523,364,046,612,
158,577,376,680,929,686,822,218,139,305,877,156,582,646,722,985,430,804,176,
340,014,772,651,626,369,716,586,781,312,682,676,078,415,245,658,319,643,707,
941,318,017,114,285,936,614,029,585,697,785,070,018,401,637,507,732,859,989,
550,019,667,382,242,482,801,567,998,730,329,618,373,509,399,234,670,346,445,
396,103,190,109,030,327,043,976,642,933,532,177,696,685,571,657,604,745,565,
391,246,438,679,993,381,238,693,763,297,739,280,655,808,916,169,749,624,370,
633,646,717,363,662,302,714,344,502,086,155,323,531,115,492,609,979,602,012,
943,661,144,652,699,530,337,367,945,279,379,349,755,379,686,154,292,987,268,
901,397,328,413,882,637,125,286,662,275,928,438,655,053,586,149,691,345,643,
927,016,221,361,326,740,828,376,036,487,155,980,146,194,714,013,027,774,427,
518,126,454,368,068,826,401,463,988,288,939,882,757,933,062,762,064,843,750,
244,817,653,334,364,113,597,550,267,994,458,529,746,623,037,308,053,601,758,
192,953,486,347,918,283,902,963,455,813,037,815,433,193,398,248,595,008,158,
769,695,193,133,452,685,499,164,665,121,770,278,959,158,988,792,319,642,248,
994,135,113,000,647,624,443,249,016,690,974,454,734,616,527,911,566,143,794,
488,861,075,853,205,524,268,520,293,226,080,237,039,375,827,682,382,206,430,
990,974,639,253,888,535,935,084,013,047,468,126,797,127,761,910,364,573,044,
189,097,978,145,906,325,081,089,899,438,934,985,582,913,268,965,256,596,661,
008,859,764,982,599,678,320,682,883,682,196,942,144,085,774,822,750,963,142,
458,630,175,916,777,969,707,323,816,743,805,950,593,144,631,448,045,166,581,
932,805,404,592,974,787,105,046,285,298,104,600,062,026,906,446,307,245,135,
249,561,838,963,467,933,866,686,091,443,245,551,103,737,626,006,856,347,803,
244,725,892,099,910,069,794,387,188,260,864,362,614,067,661,653,942,235,623,
954,336,701,767,680,166,302,378,903,751,724,108,892,959,770,563,282,367,486,
373,618,940,388,185,985,673,048,602,352,247,930,066,250,338,228,054,334,965,
912,990,360,869,730,135,279,032,767,163,802,458,578,522,655,390,958,743,926,
596,297,342,365,736,003,657,116,645,759,531,067,082,025,075,118,057,412,612,
837,737,624,831,460,411,340,190,571,502,442,448,345,504,629,995,133,914,051,
045,546,871,479,624,069,509,229,364,871,271,484,573,670,067,580,162,876,156,
097,711,644,827,853,626,084,629,445,366,468,922,232,488,184,037,988,837,248,
470,564,477,387,395,182,060,022,560,029,275,220,936,348,663,212,636,524,363,
128,510,653,554,972,219,838,778,931,957,892,777,707,043,293,622,215,170,614,
214,234,539,733,606,921,005,872,027,029,199,330,249,753,314,164,381,341,482,
165,306,671,467,153,733,707,079,070,158,487,539,075,414,428,839,964,900,190,
714,096,294,012,963,465,855,564,354,666,520,070,962,949,494,305,165,422,799,
617,521,185,676,769,817,694,085,833,487,366,318,982,610,446,025,542,291,298,
316,062,406,259,286,187,237,155,779,783,715,743,538,120,097,211,639,324,242,
842,774,223,639,493,743,963,965,074,620,772,608,262,757,751,052,438,850,694,
636,632,945,827,764,584,944,756,275,669,208,032,298,251,276,015,608,812,741,
267,178,701,977,275,562,725,503,641,117,024,654,131,886,665,288,450,343,739,
358,107,108,862,829,288,135,014,652,978,011,939,333,192,549,330,473,546,890,
152,071,860,073,023,996,761,653,607,759,520,836,582,111,596,893,817,993,869,
804,794,298,193,340,869,219,533,935,879,459,951,264,197,540,890,325,282,748,
975,258,579,735,079,103,839,862,261,184,700,407,745,566,843,697,555,295,315,
445,641,965,967,867,365,312,025,306,692,150,152,429,115,606,219,564,318,816,
305,843,258,287,752,297,511,515,151,533,796,941,170,101,118,309,160,439,153,
703,576,519,317,988,084,483,581,029,890,563,146,684,060,211,482,166,804,270,
244,757,263,450,368,020,907,283,406,924,095,820,041,463,904,922,023,115,563,
951,061,219,051,228,234,354,718,430,464,702,708,775,080,818,775,044,281,333,
741,768,224,117,484,652,418,103,342,639,003,980,731,090,078,106,657,227,247,
662,697,398,841,023,909,641,104,620,081,365,843,791,316,950,590,376,131,164,
910,272,726,727,984,965,726,273,234,236,048,745,722,442,850,469,298,354,737,
283,061,803,111,351,776,142,669,812,350,109,467,851,491,587,113,051,282,980,
433,219,778,757,845,290,582,769,939,334,560,168,987,886,114,297,888,174,360,
349,532,299,721,851,526,397,563,054,700,189,545,527,961,753,064,850,005,743,
132,048,637,922,469,569,379,473,670,041,324,477,846,859,868,135,071,800,396,
885,066,447,502,899,962,077,035,467,547,249,180,573,124,395,447,179,654,730,
222,431,601,700,595,817,473,933,831,462,677,675,979,883,039,701,832,914,236,
396,036,566,762,668,517,429,666,480,796,434,846,883,538,545,317,034,287,044,
822,962,981,041,882,293,171,585,517,461,987,857,458,215,220,693,263,837,468,
490,336,591,153,690,953,985,155,032,301,652,246,925,015,229,968,201,622,553,
953,718,359,824,700,394,737,035,751,876,513,437,801,704,464,049,236,104,162,
565,398,738,020,991,565,048,019,789,722,300,598,231,154,898,554,686,561,266,
898,252,489,151,354,062,671,720,146,443,213,150,327,985,967,703,289,116,338,
922,337,446,074,091,355,645,283,317,008,964,125,177,991,416,290,785,085,216,
726,831,292,310,449,990,163,501,358,142,800,543,418,430,995,746,868,460,161,
673,802,749,114,725,726,007,263,139,709,862,503,007,253,757,760,210,041,890,
705,731,564,146,250,868,129,653,281,763,095,343,588,404,213,029,547,458,253,
240,328,512,297,674,798,255,697,555,571,782,933,115,179,072,552,240,779,441,
323,255,228,540,859,862,472,957,911,664,081,712,786,380,393,118,059,834,137,
652,921,088,480,856,354,662,126,171,492,930,761,357,547,760,106,606,162,866,
469,237,949,744,619,824,482,547,403,680,561,272,155,601,907,847,986,363,422,
662,263,331,365,201,651,964,563,138,009,508,238,181,087,289,574,377,991,068,
929,756,413,721,560,391,844,974,773,546,575,927,097,557,127,702,411,664,721,
381,160,751,148,000,600,351,290,479,730,139,407,800,636,687,000,918,972,665,
770,963,727,924,625,598,975,132,025,762,849,162,901,478,503,776,393,240,288,
427,724,222,603,240,291,651,914,970,209,732,380,036,426,645,681,914,274,587,
489,709,323,327,025,245,504,271,825,983,002,092,600,861,119,506,077,694,410,
621,825,812,366,444,175,869,252,578,149,295,437,376,485,417,769,157,885,080,
498,324,184,243,309,502,400,969,234,615,980,252,582,908,064,842,038,361,023,
025,028,914,566,985,701,715,076,510,367,237,525,620,927,841,713,097,403,360,
075,752,962,568,411,462,261,683,466,741,311,525,068,515,467,916,075,889,063,
018,827,096,093,468,153,880,836,066,578,572,916,416,739,893,781,393,195,012,
623,984,495,221,894,540,796,758,759,404,279,975,521,652,837,063,474,978,374,
029,814,806,218,238,688,865,737,590,940,070,212,368,299,675,742,536,162,018,
006,291,926,598,376,217,582,687,889,103,842,814,856,987,258,796,894,728,712,
675,305,654,085,298,261,361,157,672,218,231,572,695,394,699,811,125,639,057,
552,927,763,649,784,837,472,366,409,938,049,887,895,018,655,401,419,292,668,
246,657,848,513,966,251,095,352,687,217,408,019,445,071,673,204,279,858,042,
861,396,362,639,671,525,107,229,202,220,236,060,847,516,877,952,486,467,414,
610,971,727,086,957,816,716,378,665,440,201,043,440,604,056,420,466,519,001,
656,234,432,926,025,018,555,352,459,568,567,344,352,930,524,386,035,770,393,
379,939,234,361,665,555,474,448,126,739,345,613,049,680,206,508,436,931,865,
094,288,914,145,062,086,509,640,441,818,342,666,411,598,136,602,984,754,520,
403,326,095,320,528,643,604,784,531,985,314,711,546,088,686,401,853,212,974,
371,989,187,034,275,062,517,793,656,929,852,350,755,592,043,506,532,303,716,
109,244,564,082,436,522,800,147,591,955,793,099,903,503,337,635,336,029,875,
082,195,315,741,578,120,041,042,866,436,007,278,127,496,292,478,554,680,797,
530,812,991,441,571,634,902,321,465,066,199,322,164,839,313,546,817,351,298,
230,695,793,979,715,637,637,174,810,338,651,112,953,929,871,180,678,422,532,
803,978,032,351,484,405,098,919,059,354,312,052,172,283,838,963,448,017,361,
493,246,418,157,392,266,489,736,393,316,446,076,105,790,964,229,308,187,661,
850,992,146,090,607,055,898,294,487,983,361,225,307,776,875,766,355,149,728,
071,589,723,963,743,430,990,166,357,902,827,071,927,424,439,340,259,661,129,
485,374,365,172,120,593,932,217,816,474,348,689,765,292,047,079,928,636,471,
978,169,578,271,998,603,662,045,865,609,207,786,138,747,902,265,532,091,157,
159,192,602,670,654,944,683,858,944,294,921,423,029,741,340,897,702,052,194,
583,244,310,467,343,826,400,904,417,673,238,981,533,623,732,202,264,398,986,
212,635,361,567,493,603,161,734,048,524,313,135,747,909,827,735,753,027,110,
678,220,352,162,677,161,154,889,876,926,726,391,701,668,339,631,366,043,346,
804,942,993,703,709,599,734,145,893,458,664,792,185,452,302,958,022,047,869,
116,540,201,307,267,096,614,362,057,473,016,198,573,739,409,103,166,293,734,
746,176,564,433,014,946,049,035,039,580,593,104,019,406,914,102,937,325,532,
607,028,162,046,325,784,266,692,710,901,119,392,086,866,343,022,423,718,334,
800,079,389,123,002,561,713,245,528,452,981,231,843,275,984,863,483,585,044,
610,809,644,731,803,082,926,285,633,394,133,601,312,170,559,968,623,866,812,
221,604,831,883,330,777,946,545,231,028,041,148,090,315,954,086,656,036,126,
142,569,290,525,660,801,352,579,523,377,656,952,639,148,536,898,738,575,060,
223,637,354,721,679,358,628,231,993,006,177,970,201,606,756,474,237,655,983,
947,224,270,476,255,293,510,675,320,013,427,300,879,784,186,924,878,818,140,
407,719,866,554,087,224,399,906,188,429,924,018,798,267,884,355,828,955,378,
149,048,884,379,064,119,797,858,061,301,964,187,247,596,804,167,417,447,536,
518,123,309,683,619,818,791,303,294,828,843,921,951,576,388,710,321,656,318,
590,326,600,588,536,732,694,543,907,476,007,060,002,587,872,919,344,468,576,
988,502,430,322,059,089,315,343,752,803,930,040,559,885,869,525,299,073,204,
899,549,403,015,399,189,278,963,418,675,163,326,268,031,754,124,911,445,275,
645,045,767,156,703,265,595,163,239,013,298,623,574,750,290,091,516,341,911,
281,579,055,270,784,253,910,339,799,896,070,044,717,585,396,009,148,581,491,
282,303,359,735,477,345,076,126,540,185,006,127,932,718,250,105,409,782,855,
345,308,642,309,232,851,879,710,157,459,381,436,896,514,486,684,415,929,942,
556,023,512,490,373,140,027,257,586,046,784,819,601,668,231,814,521,977,337,
535,116,964,166,041,541,316,175,824,939,437,357,560,008,039,136,720,823,799,
582,871,200,439,730,000,036,885,253,015,813,323,989,916,247,537,011,701,570,
217,359,990,298,323,597,475,705,505,433,557,565,969,391,249,875,609,776,597,
969,982,959,423,406,120,782,362,297,528,595,007,943,201,584,488,602,531,372,
065,203,163,458,031,464,125,217,783,287,690,293,908,711,131,380,856,680,852,
015,669,338,953,610,021,392,362,504,945,662,989,236,495,674,737,721,615,633,
709,379,449,361,959,371,826,974,161,039,432,189,574,442,594,383,626,614,038,
337,590,798,959,901,515,405,028,209,143,554,671,405,907,110,745,999,580,724,
932,794,104,440,750,339,544,283,672,091,815,759,848,573,480,765,190,635,204,
021,915,607,394,910,693,463,212,584,928,754,036,548,416,510,437,664,500,982,
963,719,572,050,701,016,284,760,831,399,764,997,523,209,013,568,377,210,061,
089,330,898,059,971,462,871,246,818,483,198,664,894,173,021,017,376,171,122,
988,132,848,101,925,607,333,744,384,443,926,074,402,911,277,902,048,028,723,
155,695,286,140,999,285,727,283,468,892,086,143,810,586,860,064,221,667,966,
972,105,186,481,325,161,135,987,335,121,071,371,036,187,446,921,839,568,787,
210,361,828,607,965,948,318,330,297,542,191,881,686,057,600,327,980,458,761,
876,334,002,294,042,067,674,697,736,617,766,942,177,583,377,677,812,311,888,
467,874,342,854,089,671,553,676,972,408,260,540,622,233,956,947,377,636,198,
482,449,623,002,708,751,232,214,255,282,209,978,630,922,607,899,645,184,852,
049,253,385,448,635,520,196,774,562,816,838,884,102,761,076,380,733,912,261,
460,045,353,470,089,069,907,464,882,879,738,115,788,798,348,360,020,196,044,
931,307,513,656,296,981,650,732,004,227,048,301,139,248,701,340,162,343,803,
580,704,922,644,329,482,263,396,592,760,261,448,321,947,033,864,928,944,194,
800,745,278,526,475,182,288,850,828,102,247,586,061,735,463,974,574,869,696,
108,022,596,711,420,232,036,520,609,726,324,932,186,940,847,564,870,079,536,
859,217,753,143,159,463,405,192,368,419,351,888,494,448,778,030,525,399,875,
094,793,879,800,292,006,834,901,303,903,124,765,850,796,681,982,851,696,479,
119,868,352,705,803,771,023,606,485,389,861,046,832,629,647,780,554,065,093,
506,324,344,480,289,630,171,536,487,915,592,536,039,553,347,591,091,040,749,
855,531,369,413,212,660,030,612,344,417,229,657,509,958,513,232,708,602,211,
679,695,653,197,029,517,210,324,586,194,180,589,690,471,739,757,285,899,066,
330,107,541,463,436,960,002,902,807,576,801,012,093,644,042,539,174,786,301,
580,575,306,028,459,477,655,200,298,520,145,221,285,995,075,102,821,637,646,
273,347,171,144,895,651,049,803,147,200,541,789,282,946,948,960,292,093,266,
768,718,671,353,486,201,139,233,435,411,086,255,256,326,404,267,582,198,367,
559,777,234,204,933,601,230,260,959,605,655,725,402,948,992,397,409,968,516,
605,040,773,135,209,974,540,393,943,912,429,763,079,540,159,881,767,429,022,
781,912,798,151,512,373,511,558,895,733,602,152,932,831,353,404,583,051,103,
535,907,860,989,003,372,278,141,876,874,796,895,280,311,805,733,601,729,828,
496,801,066,158,440,342,679,139,600,118,779,284,815,641,838,864,312,089,241,
579,548,081,030,436,017,772,050,408,774,646,325,504,226,027,483,420,032,209,
841,093,781,669,904,192,386,372,187,212,770,534,393,320,048,375,345,228,284,
239,344,182,443,821,289,651,590,965,016,650,651,644,551,407,645,275,013,338,
934,476,933,244,988,478,830,980,083,115,447,559,684,610,758,342,529,388,404,
998,493,141,425,403,390,661,957,040,145,238,670,875,551,438,217,343,107,279,
553,658,734,071,593,911,252,268,675,415,014,018,994,041,846,636,949,734,441,
954,256,030,745,922,411,388,567,015,493,318,378,530,230,551,736,193,540,520,
893,201,959,579,481,079,468,572,520,930,355,434,511,738,179,989,136,637,701,
330,020,646,269,674,354,906,115,135,936,198,151,206,319,284,170,217,369,297,
955,993,721,630,141,602,727,136,405,772,332,449,555,770,554,561,645,804,462,
979,395,556,622,487,867,047,481,125,587,520,804,018,337,034,365,358,135,041,
282,341,154,135,642,429,624,872,483,240,494,432,126,089,053,135,507,776,419,
769,105,066,864,431,340,224,038,478,807,920,448,191,596,811,860,029,553,289,
245,643,318,712,941,899,848,254,077,971,565,579,579,999,640,722,951,931,080,
483,513,977,256,130,082,895,360,051,896,090,224,172,596,814,607,964,295,085,
100,030,040,053,886,925,453,917,956,227,379,278,698,290,064,369,129,616,781,
083,753,512,289,469,495,218,294,563,933,694,567,475,513,606,339,225,132,978,
194,416,700,006,367,372,581,898,765,369,038,466,822,279,494,841,439,953,110,
577,962,920,617,019,860,776,476,610,851,691,512,987,603,647,854,588,909,244,
731,771,940,397,678,980,561,799,379,740,928,879,142,810,337,913,427,729,396,
476,482,797,420,820,188,120,557,963,907,045,692,748,431,073,274,283,267,522,
923,299,102,366,541,175,139,093,572,447,277,645,714,781,274,383,143,654,043,
533,414,654,897,129,630,048,786,832,614,763,690,714,283,958,236,486,592,582,
445,012,709,700,363,468,784,823,543,401,621,097,859,443,170,658,717,903,600,
075,157,678,707,409,099,953,314,765,194,845,938,647,934,958,174,684,118,208,
745,465,899,897,254,716,592,738,527,107,852,549,230,785,726,584,195,890,729,
134,775,332,606,848,051,144,142,915,493,492,662,146,787,004,728,852,473,571,
577,297,209,189,225,758,814,143,234,682,357,704,090,013,841,621,570,503,615,
043,129,906,865,348,541,937,231,654,800,071,197,005,417,652,958,497,947,584,
975,764,002,971,100,462,296,382,058,380,733,487,430,130,109,443,668,750,237,
117,229,830,062,026,845,371,345,059,635,596,079,195,271,365,039,998,341,503,
595,764,897,727,358,351,649,015,228,511,558,214,081,415,635,305,012,074,421,
527,281,265,656,549,223,452,367,994,748,438,673,471,027,769,288,700,080,733,
033,374,877,650,170,287,855,080,325,655,406,775,125,893,476,037,280,148,265,
098,508,373,713,004,290,816,276,591,043,078,807,090,458,044,941,721,592,920,
619,026,339,834,117,938,608,945,216,478,640,284,600,539,082,302,695,966,796,
955,619,778,382,227,209,681,823,504,014,601,209,341,140,165,592,614,621,744,
267,349,895,282,979,284,848,550,605,214,206,884,042,142,061,223,554,034,721,
262,671,595,779,889,394,971,829,888,324,589,082,860,994,874,644,807,834,548,
092,778,455,897,374,240,175,687,318,295,436,136,860,919,493,967,865,465,940,
787,416,861,010,514,369,691,374,331,467,082,751,408,555,912,851,449,942,894,
726,125,320,475,567,073,515,636,020,387,084,206,981,652,355,519,532,948,818,
957,084,102,960,561,156,557,492,778,802,291,755,596,467,710,267,830,583,337,
454,816,277,814,281,937,701,990,885,319,425,971,293,933,421,324,217,302,671,
872,055,974,203,111,963,858,347,005,397,452,296,775,858,590,410,368,588,510,
519,695,159,816,782,333,964,305,022,645,615,934,427,313,003,840,934,237,177,
694,609,729,428,113,886,489,522,155,699,844,601,759,907,686,517,835,596,963,
823,856,693,042,276,688,113,645,226,095,341,466,515,005,879,731,813,501,360,
535,009,548,029,643,830,670,399,855,008,588,318,033,453,625,241,537,600,679,
879,942,237,926,244,701,966,811,459,688,466,629,768,633,990,281,325,417,740,
349,050,666,145,872,006,374,338,560,954,380,005,235,873,157,173,532,137,148,
610,592,457,474,072,637,626,568,415,776,083,926,576,237,065,255,209,909,317,
018,507,149,255,221,722,929,255,496,491,931,400,582,616,454,143,160,969,090,
135,346,132,779,411,508,660,977,888,842,199,679,358,487,733,848,501,296,827,
629,532,269,802,367,702,529,562,866,598,241,629,497,256,017,398,912,732,536,
568,531,711,918,481,951,126,208,282,319,201,478,255,004,501,601,784,108,022,
766,402,334,779,316,944,509,658,224,470,274,927,524,180,240,711,709,994,130,
460,686,749,707,149,712,306,146,849,013,025,752,672,267,778,668,321,906,565,
499,064,268,971,160,539,596,054,524,265,316,953,265,045,288,676,493,319,319,
192,167,625,898,295,588,491,765,763,785,114,181,150,050,202,268,225,167,838,
962,382,904,954,169,036,613,789,951,269,678,838,521,529,464,357,453,543,689,
094,548,359,107,614,676,537,941,084,043,529,812,623,048,918,488,877,735,182,
458,770,783,959,534,171,929,247,238,473,394,817,944,431,089,160,025,945,480,
971,009,035,159,149,106,400,194,472,256,994,217,937,070,136,681,465,056,724,
675,292,384,176,331,089,387,307,667,782,558,947,747,743,253,630,950,769,515,
177,764,303,794,097,096,954,444,959,576,280,647,878,177,753,795,058,732,992,
060,213,837,996,834,643,759,104,386,850,595,104,970,986,702,632,973,791,916,
314,589,839,897,229,948,935,982,857,081,928,619,251,957,988,540,867,318,470,
285,333,847,702,117,595,959,198,822,518,957,581,115,326,573,588,969,098,903,
064,618,406,675,440,955,150,885,929,024,931,786,971,270,199,092,312,394,942,
176,459,971,559,222,236,775,927,902,183,998,639,465,894,467,564,210,582,088,
877,988,921,088,779,952,572,769,490,653,583,106,242,232,744,922,946,434,060,
783,261,185,158,825,548,871,082,630,220,147,760,992,128,973,755,440,111,476,
577,035,388,478,170,216,914,350,895,675,670,498,264,800,170,094,169,944,372,
975,708,568,427,923,369,989,701,655,845,586,970,507,573,444,003,481,932,556,
505,957,928,220,389,458,244,590,476,596,552,047,950,017,423,612,377,409,877,
561,329,889,023,710,971,115,357,297,777,604,774,982,743,641,836,491,848,018,
007,362,315,464,167,298,441,652,560,846,438,927,200,951,261,289,735,278,596,
673,797,830,618,263,210,720,122,192,459,968,895,358,497,970,893,331,704,586,
211,192,060,892,742,731,565,155,756,728,062,084,767,364,264,713,511,309,140,
429,729,209,448,862,179,052,416,970,177,803,125,215,102,353,950,468,442,513,
158,510,091,543,197,766,752,455,123,961,760,535,630,731,387,922,753,689,739,
875,924,811,737,399,026,844,636,376,692,842,419,332,469,907,339,508,593,213,
052,125,594,557,756,660,192,126,156,731,304,760,902,152,218,264,498,510,020,
412,142,484,031,979,421,248,210,515,246,486,804,699,808,403,936,000,151,973,
547,657,521,686,052,239,476,006,007,787,474,977,315,965,048,480,128,127,752,
909,155,410,492,380,878,131,075,730,989,283,171,463,030,730,547,048,998,096,
071,481,622,920,189,669,639,640,565,960,741,015,017,780,686,817,950,724,127,
268,091,389,457,145,129,374,996,949,543,212,471,441,200,299,118,537,097,994,
093,779,637,650,442,039,498,053,992,375,022,865,583,596,767,895,224,485,813,
981,865,706,396,467,796,966,679,900,024,440,148,638,897,739,895,114,350,333,
359,999,503,206,081,258,364,192,096,941,664,949,556,592,261,622,836,401,129,
616,144,806,401,696,787,023,963,591,982,541,361,912,492,092,255,876,082,823,
191,212,200,013,383,380,965,316,830,019,209,435,914,186,003,179,622,826,663,
122,791,565,892,535,339,734,055,286,989,605,039,687,847,787,302,349,675,134,
671,638,470,462,358,971,634,328,140,989,326,733,755,786,322,195,939,118,341,
568,353,897,167,718,612,275,264,453,641,528,359,777,268,233,420,258,342,131,
358,689,905,117,804,084,005,567,841,967,420,192,326,440,697,046,617,223,174,
813,557,909,633,743,409,999,955,568,782,251,360,814,505,881,349,460,076,546,
431,910,745,418,428,073,688,769,879,376,099,785,591,880,500,263,295,233,946,
920,122,384,250,767,636,225,695,121,515,749,924,280,657,016,439,821,490,910,
230,095,058,870,242,011,344,619,566,399,831,935,395,694,826,289,668,363,293,
655,102,233,983,016,174,167,404,452,852,225,651,929,979,864,408,222,112,758,
784,264,023,364,690,153,713,562,955,055,048,465,771,875,707,746,976,079,835,
689,567,528,599,688,147,464,277,021,252,343,815,327,516,148,714,524,563,492,
749,237,942,856,510,057,195,032,817,066,382,733,863,761,634,655,397,675,360,
713,547,463,002,485,297,976,489,815,738,328,136,940,525,974,699,594,658,946,
476,733,776,031,384,882,959,713,598,280,510,065,675,330,154,678,478,646,094,
797,315,360,296,877,483,288,149,789,646,536,323,205,555,644,585,634,995,236,
303,134,805,623,075,050,837,200,385,118,310,688,096,257,791,453,636,901,480,
261,575,744,270,051,221,591,575,752,806,147,524,407,213,959,918,523,850,918,
627,851,590,051,032,190,819,986,975,723,188,705,556,478,715,603,494,694,002,
853,029,169,451,295,744,197,192,989,644,878,248,217,229,831,678,908,013,611,
872,195,205,208,849,237,636,966,723,432,146,226,062,883,724,503,742,401,619,
893,364,061,153,781,201,470,706,694,241,587,746,858,959,962,559,717,140,301,
028,918,603,241,523,199,923,531,948,253,874,435,634,204,265,658,345,630,546,
950,874,319,515,609,152,493,871,260,302,672,286,064,776,915,212,561,004,381,
171,104,195,541,984,865,839,878,814,452,064,002,999,314,095,742,889,382,061,
648,028,895,770,895,907,917,319,534,783,610,730,281,359,103,066,746,666,185,
254,713,374,980,260,060,892,496,854,477,362,602,948,051,954,742,151,468,896,
949,849,636,571,906,402,091,196,265,098,352,430,609,347,954,726,317,346,144,
027,283,222,360,857,899,663,348,800,193,729,605,281,635,867,776,547,470,595,
618,031,112,851,340,627,005,017,107,593,156,245,333,205,031,183,052,841,945,
929,561,153,635,563,233,627,764,006,789,334,819,922,472,946,624,201,336,622,
296,589,997,507,798,593,875,373,796,726,301,302,341,248,606,113,292,990,913,
002,465,075,304,600,121,534,362,471,587,437,888,692,906,907,386,690,766,906,
724,361,375,624,004,499,421,145,677,524,036,112,858,410,196,771,731,018,404,
935,170,174,239,688,182,806,195,471,469,007,918,779,540,938,276,903,206,143,
631,167,646,413,958,672,441,523,299,902,880,339,821,769,001,889,966,402,371,
142,867,102,469,845,782,881,038,909,349,361,839,076,026,688,825,139,283,649,
992,233,685,591,566,465,803,790,568,919,302,256,784,362,709,841,630,624,134,
308,098,175,811,348,826,713,047,858,340,072,124,069,578,979,500,332,704,396,
588,991,315,481,440,287,490,686,364,288,022,467,196,022,402,982,129,480,954,
993,970,507,725,327,959,986,933,043,202,537,360,261,867,353,010,054,641,690,
959,677,190,098,416,608,543,523,289,636,349,762,834,054,713,555,755,588,812,
991,005,230,764,003,521,924,643,669,797,982,392,866,393,167,839,754,973,776,
782,240,583,222,376,399,401,967,661,267,166,000,400,505,976,571,496,477,096,
962,794,779,546,077,542,920,812,071,173,846,852,988,275,719,283,224,872,059,
203,812,272,076,315,429,423,397,929,329,915,671,849,362,102,070,774,068,496,
098,944,046,736,877,668,453,494,538,175,055,498,716,861,202,244,278,256,502,
501,861,058,048,358,999,021,125,557,688,177,637,032,427,090,790,200,902,422,
585,790,429,450,990,163,851,160,196,335,969,776,653,422,396,226,664,370,548,
967,048,937,790,216,952,563,028,921,257,924,192,087,939,674,663,703,090,247,
114,154,226,075,014,723,913,480,301,951,974,750,697,358,569,901,935,259,745,
043,401,956,846,954,123,639,894,615,992,411,937,587,294,426,549,587,315,798,
793,550,042,563,935,824,512,330,219,188,273,531,771,407,069,218,680,308,244,
390,314,879,140,288,089,809,052,371,861,522,452,952,539,592,951,622,838,930,
851,728,200,793,748,664,545,497,109,686,867,311,068,805,941,284,788,987,292,
397,898,268,558,510,439,507,709,484,545,788,655,660,404,269,342,416,189,630,
375,379,996,861,491,673,803,132,318,649,780,925,470,589,925,529,425,092,021,
299,282,098,029,845,868,655,547,782,459,724,039,069,390,757,906,464,323,224,
485,430,890,670,363,104,177,286,947,077,623,249,913,701,624,667,555,498,663,
430,441,248,991,826,787,088,991,152,949,255,040,544,777,335,036,139,078,995,
562,843,259,498,979,871,289,190,824,280,879,871,937,052,031,997,695,911,008,
618,186,339,480,511,019,091,672,556,935,279,333,158,799,883,168,451,213,521,
113,193,355,672,391,895,781,474,293,319,798,312,121,948,601,178,125,222,698,
441,791,898,073,399,011,051,635,857,757,445,401,770,510,128,675,716,031,588,
984,695,523,331,850,453,386,348,035,702,432,124,323,930,385,091,046,501,579,
474,317,377,580,164,386,913,670,664,566,627,052,890,507,588,782,365,410,733,
981,673,183,949,088,947,868,604,307,347,291,943,800,041,699,151,961,284,185,
413,263,518,486,541,624,319,782,338,283,808,308,322,234,363,952,821,616,641,
649,117,141,137,570,229,191,570,485,897,831,149,918,207,838,452,391,828,709,
550,740,876,112,141,055,521,003,251,975,715,290,193,682,896,187,716,554,471,
388,601,993,163,386,436,413,006,685,973,804,435,114,252,912,134,288,760,080,
514,556,394,135,882,931,199,520,010,245,836,118,979,794,704,726,825,435,321,
576,740,200,349,183,408,346,578,405,909,652,601,885,838,303,496,095,195,659,
187,439,761,470,991,601,311,256,869,173,241,609,768,854,165,330,469,233,989,
316,022,844,551,963,795,603,271,871,544,227,463,364,618,318,293,333,485,898,
424,086,045,280,553,468,128,159,899,645,677,498,715,466,070,164,551,592,017,
447,641,868,586,687,807,796,348,098,052,181,735,710,039,728,005,965,132,879,
220,964,162,008,694,812,807,091,418,999,517,378,623,600,295,045,854,123,296,
062,471,159,899,468,727,130,023,862,261,803,548,246,807,484,236,463,335,235,
013,037,293,748,749,347,191,262,973,131,437,460,713,196,246,703,475,034,571,
708,671,836,934,163,946,555,667,254,485,721,263,592,664,934,110,377,531,904,
203,061,025,022,024,488,583,732,170,171,523,231,847,779,562,986,744,727,979,
810,932,409,271,243,282,806,086,653,849,061,774,533,152,591,152,582,940,531,
282,237,187,058,360,423,701,330,813,472,325,280,177,105,123,171,364,338,709,
839,621,945,225,301,835,458,789,249,819,170,895,013,400,035,593,529,070,874,
128,827,925,433,207,027,890,274,326,655,110,747,925,861,071,179,889,216,841,
474,399,060,712,524,624,063,236,688,032,813,866,580,945,597,704,292,066,551,
608,635,496,264,004,062,630,124,723,183,934,931,810,827,946,495,453,933,848,
456,051,800,445,732,236,282,578,622,129,587,397,587,288,392,340,172,457,211,
919,627,420,348,879,268,076,620,517,920,170,960,541,419,196,213,996,852,735,
984,683,255,182,165,435,321,508,650,552,243,588,970,416,461,862,540,124,868,
445,086,326,891,652,609,007,218,511,435,362,196,522,962,609,125,823,138,719,
398,126,847,310,500,295,580,656,986,395,668,725,526,393,908,130,765,763,311,
315,452,050,811,412,296,942,169,590,191,504,515,399,953,801,190,284,306,185,
369,414,744,603,703,533,805,424,993,145,918,058,887,259,026,172,096,444,698,
552,046,138,841,378,968,467,850,480,864,265,530,675,513,619,184,524,681,747,
569,538,804,491,605,474,220,993,771,733,751,011,240,361,934,454,482,396,045,
446,541,783,732,968,914,489,316,799,023,650,230,762,488,127,002,879,533,354,
125,561,966,957,281,889,784,029,652,212,980,656,316,423,915,632,640,005,953,
325,780,850,278,339,630,129,606,417,518,142,014,679,820,732,104,514,712,666,
356,923,787,181,992,593,385,069,322,489,731,353,787,934,916,502,772,746,054,
334,960,758,666,398,969,953,571,230,447,483,571,995,804,817,715,127,736,076,
057,285,587,978,607,637,541,515,318,551,777,857,565,214,652,820,477,469,212,
289,232,783,649,543,413,843,744,829,186,568,327,511,145,033,661,611,501,667,
022,712,715,818,566,729,940,862,298,589,850,083,337,445,261,342,304,244,581,
027,153,322,534,016,782,978,906,439,786,587,606,673,138,234,690,761,981,174,
707,064,814,595,265,936,013,785,666,327,740,695,228,719,253,139,579,403,474,
556,074,794,160,438,656,557,137,345,762,895,908,155,877,203,488,343,996,830,
534,741,530,940,704,464,586,393,571,313,447,291,504,283,937,464,951,606,609,
972,911,731,190,869,121,794,972,561,263,397,102,496,667,879,887,068,001,437,
321,553,078,701,906,806,770,779,398,592,192,505,775,916,194,519,461,876,750,
988,723,685,351,523,451,033,879,482,337,809,988,639,241,156,305,415,381,884,
746,618,511,601,902,779,673,652,928,482,326,890,239,673,867,965,936,994,119,
246,375,105,492,904,869,900,565,732,416,405,906,795,528,220,101,428,745,715,
009,223,757,427,458,098,708,153,118,066,659,206,238,571,664,709,507,259,860,
596,665,619,899,873,628,797,992,984,870,602,469,512,537,043,272,409,393,066,
200,649,788,639,972,972,119,669,691,927,795,992,768,080,431,861,765,910,612,
341,512,350,274,265,553,947,720,920,034,944,664,791,422,616,243,183,817,604,
349,951,063,102,789,317,521,351,583,033,649,045,888,436,801,804,257,710,608,
508,509,863,735,209,304,183,863,583,891,681,092,599,514,488,009,257,999,924,
590,011,938,617,310,164,519,209,516,074,075,304,914,099,767,584,177,798,962,
396,780,102,449,145,726,897,276,721,927,748,888,184,529,156,958,021,494,000,
167,475,586,704,219,309,715,335,942,454,327,650,379,448,060,811,947,610,459,
734,915,999,594,060,231,316,845,146,390,880,094,531,195,566,753,933,133,455,
666,889,277,309,355,177,251,882,635,569,056,476,459,777,673,529,608,664,483,
730,327,820,727,816,468,612,271,582,344,235,397,048,611,486,513,172,212,515,
113,862,594,044,631,944,351,649,984,154,723,617,324,564,799,936,236,963,731,
670,534,993,327,582,958,140,048,053,346,607,015,523,172,355,608,939,325,248,
161,101,020,646,670,002,563,197,872,084,235,454,245,270,192,697,047,600,754,
788,866,287,423,001,669,727,402,150,386,297,517,296,210,982,055,153,041,336,
303,140,175,471,208,815,058,601,268,567,080,131,213,972,248,692,641,999,869,
879,035,827,648,463,456,255,745,897,670,112,965,587,860,600,297,961,154,537,
460,270,232,804,645,532,711,581,206,829,382,442,734,824,285,254,009,331,872,
979,588,717,745,539,877,654,738,314,073,952,617,328,182,111,065,475,186,043,
510,638,738,785,918,396,533,239,935,596,485,649,759,079,164,066,764,703,505,
790,172,023,128,251,459,847,608,264,627,696,023,863,521,657,785,506,424,311,
127,571,662,963,153,642,694,623,004,472,953,952,711,820,252,971,613,385,686,
024,271,444,413,537,226,150,509,180,540,435,173,768,559,106,769,972,494,292,
774,903,255,471,214,144,436,427,454,393,843,559,734,671,831,896,476,902,066,
404,905,170,839,493,724,921,877,469,673,894,642,713,368,961,734,027,510,351,
315,433,792,994,222,980,632,467,048,873,227,999,299,586,053,525,338,631,981,
129,181,104,233,034,819,081,604,444,451,601,421,097,311,007,286,247,585,242,
770,866,695,296,018,655,063,561,437,123,848,810,933,081,055,027,883,348,699,
950,627,774,696,596,970,053,969,421,640,359,611,896,412,187,673,464,229,309,
780,860,690,660,457,319,703,477,153,132,744,925,884,409,374,420,904,953,332,
591,823,586,399,600,131,750,802,626,260,920,658,361,883,310,219,833,898,692,
039,479,795,481,896,092,687,622,538,992,245,503,241,125,900,640,187,308,692,
505,568,228,467,846,265,068,370,271,035,073,777,723,906,806,632,603,220,631,
534,514,636,476,317,232,390,899,398,191,763,702,488,640,360,368,820,831,350,
243,406,008,934,038,809,782,742,577,149,620,994,746,687,308,627,134,533,886,
849,545,717,150,772,454,960,250,054,250,881,496,382,310,840,540,571,785,852,
432,470,082,268,240,765,207,166,153,930,169,249,035,726,101,155,039,366,222,
674,073,702,412,094,043,503,053,066,888,784,537,887,119,158,008,996,219,703,
320,553,044,848,190,855,095,259,395,344,356,102,473,432,378,516,766,022,397,
079,985,988,715,039,058,248,977,563,856,989,075,774,293,128,944,253,374,015,
229,476,471,106,019,622,682,907,982,029,814,526,911,742,338,696,216,078,656,
436,352,683,713,782,059,096,143,164,430,847,730,220,314,386,625,665,961,492,
526,368,433,320,397,768,457,138,066,389,762,621,702,108,335,395,951,563,645,
824,651,601,776,320,315,145,906,426,136,636,724,474,776,294,694,046,468,887,
302,716,174,065,575,426,970,654,003,880,680,749,345,038,180,223,374,940,204,
445,890,720,856,785,410,121,731,838,886,829,789,178,734,119,644,668,188,828,
346,353,284,687,671,838,554,379,521,858,529,260,105,283,578,434,907,943,180,
519,701,477,668,703,945,875,555,027,418,777,011,720,002,288,613,717,574,514,
308,261,935,925,899,479,977,923,991,478,503,151,920,682,783,591,063,057,314,
562,763,758,022,830,465,527,285,266,024,786,116,621,262,851,291,578,426,350,
220,951,945,205,282,699,245,822,046,941,151,096,473,449,281,732,027,866,906,
509,738,386,573,048,143,670,614,122,153,914,769,002,380,868,099,315,675,801,
060,676,313,324,685,880,095,391,413,347,011,971,189,655,856,361,034,349,991,
555,785,219,486,841,488,755,573,992,043,573,840,482,909,364,883,880,061,203,
791,887,501,922,919,914,211,877,451,225,833,253,936,682,733,323,417,448,700,
393,575,186,770,753,529,027,166,177,938,135,003,133,913,655,643,860,563,314,
809,371,476,579,689,064,441,658,699,209,597,667,076,150,743,950,100,616,071,
871,520,174,549,528,057,134,786,055,198,204,101,935,005,957,663,843,694,078,
526,727,846,277,269,659,703,372,364,241,907,608,867,430,536,405,087,540,924,
375,494,924,328,103,714,739,871,157,767,136,000,598,096,152,824,084,729,937,
197,849,105,357,602,871,241,254,917,768,008,769,736,013,973,955,327,033,984,
904,937,516,411,276,612,108,391,450,852,372,803,611,517,902,738,566,323,544,
045,410,654,622,528,441,233,623,001,749,091,267,296,525,444,747,525,327,197,
575,491,695,058,930,343,289,085,712,151,084,720,299,417,493,458,310,977,844,
522,214,167,839,795,352,504,492,123,490,607,817,115,826,914,176,744,334,133,
964,617,602,252,579,613,413,570,496,699,917,924,227,278,202,505,283,033,208,
128,031,163,200,509,059,653,210,131,597,851,590,651,344,188,039,171,621,978,
438,824,808,134,269,724,920,299,827,114,299,522,601,927,461,372,431,401,150,
185,101,928,541,357,513,030,505,661,654,070,894,637,792,673,347,661,289,880,
116,468,241,181,272,028,107,911,403,444,804,323,970,413,852,070,600,202,578,
974,717,904,484,930,266,050,393,234,731,637,034,331,784,611,575,917,437,581,
065,375,080,917,603,159,113,090,868,390,564,934,159,583,831,438,886,963,605,
195,950,487,097,009,563,251,740,121,683,570,282,209,562,733,620,375,233,875,
587,342,086,665,771,861,605,896,168,669,855,541,528,485,479,086,794,579,826,
197,163,735,651,771,539,193,269,799,727,196,329,720,936,536,223,840,440,508,
290,630,011,535,068,146,363,044,478,253,125,489,089,966,029,377,809,690,189,
490,299,932,827,277,502,637,429,395,522,442,219,963,867,779,095,195,843,609,
016,193,120,943,363,476,663,428,313,892,213,118,523,225,035,808,641,704,266,
816,710,431,693,464,428,725,963,761,368,589,702,354,393,060,220,203,939,649,
313,229,754,723,846,038,971,111,483,653,654,896,750,802,226,250,388,552,071,
000,317,685,399,195,429,817,593,192,007,626,220,369,439,159,286,585,044,347,
066,544,207,325,001,374,922,589,317,277,140,718,424,604,880,276,687,983,664,
309,549,994,519,291,971,026,610,173,002,487,961,635,906,403,899,915,518,992,
622,200,944,434,491,901,585,379,286,909,595,230,509,058,816,265,249,368,867,
347,365,318,406,081,655,338,839,516,798,964,953,641,744,672,318,034,862,755,
233,743,204,636,630,028,277,271,513,252,813,151,445,685,198,128,780,345,499,
368,100,395,466,670,683,338,693,297,837,439,019,541,406,452,375,609,765,261,
378,438,106,941,116,677,973,634,828,029,190,698,008,986,600,509,446,769,589,
264,745,377,062,507,291,912,254,296,464,135,154,689,591,419,968,406,780,155,
525,624,637,058,253,797,401,722,741,205,130,711,933,342,118,849,141,454,233,
991,877,080,309,586,552,738,019,374,326,274,567,610,253,309,067,137,133,616,
545,636,425,957,139,485,979,515,884,093,266,946,177,088,390,843,462,944,474,
844,154,821,417,720,539,819,821,464,076,498,344,446,896,228,892,624,992,114,
484,732,887,715,296,377,463,231,087,036,504,512,901,472,908,708,480,599,207,
676,734,844,775,461,540,563,978,972,802,492,647,442,083,494,783,472,876,836,
773,674,367,033,751,340,488,649,854,022,149,467,521,168,574,595,223,905,580,
264,832,529,585,261,633,140,217,900,189,716,156,221,620,036,793,931,521,231,
367,926,404,227,038,072,081,229,452,729,106,695,118,031,892,858,311,699,343,
486,128,586,139,010,734,599,783,680,254,727,976,852,668,317,060,815,330,773,
916,155,119,092,523,282,633,509,061,073,916,382,398,993,508,541,457,906,762,
576,754,135,715,825,505,629,767,760,977,297,279,969,857,034,599,133,531,913,
149,320,711,228,527,740,317,526,300,195,468,371,810,262,600,285,977,839,326,
542,023,010,710,830,220,226,008,347,374,939,979,754,315,783,136,849,442,834,
970,545,338,202,056,473,647,463,161,199,941,094,031,970,256,770,002,253,583,
970,043,381,733,830,404,235,320,838,290,063,448,726,271,214,752,666,971,598,
702,593,939,284,253,060,805,370,387,916,974,765,707,533,851,940,474,987,418,
402,558,817,623,232,663,368,658,014,606,062,131,834,648,117,572,803,961,704,
828,819,025,339,505,401,266,768,755,772,481,668,745,483,944,860,561,331,396,
060,632,046,970,582,580,573,874,011,212,557,347,342,372,635,398,737,780,999,
746,250,666,447,280,213,545,587,166,212,258,766,956,228,627,269,895,741,198,
849,611,135,687,084,241,809,531,703,762,542,771,567,168,902,079,782,086,507,
165,207,592,779,308,945,924,334,512,729,223,660,209,514,317,454,065,498,679,
398,798,857,974,600,693,431,610,242,235,328,959,432,078,305,518,580,638,256,
059,966,436,178,074,620,568,731,778,789,518,471,425,632,673,274,673,439,360,
254,458,198,474,208,051,633,984,444,306,711,608,769,120,216,465,770,825,635,
556,626,315,224,330,088,315,760,549,576,376,631,063,568,581,006,605,631,184,
635,819,762,121,967,065,686,687,971,392,439,366,872,842,785,304,155,467,432,
142,787,108,227,094,056,931,567,545,487,690,115,299,662,466,084,762,328,947,
539,149,990,982,767,436,218,958,752,332,093,349,200,834,387,640,048,392,322,
532,273,819,232,239,864,058,413,286,136,445,135,309,912,311,802,683,776,919,
724,201,580,347,560,642,418,140,629,609,725,513,635,763,248,141,376,498,760,
313,272,412,004,103,333,418,632,649,123,095,123,649,056,219,350,725,474,217,
878,850,418,189,560,103,547,024,615,298,420,575,148,628,021,982,372,902,107,
507,927,946,681,292,908,043,709,295,731,248,371,909,750,111,397,275,557,484,
680,183,849,448,732,784,823,446,997,167,269,156,021,860,807,863,471,505,753,
073,883,149,024,764,622,015,048,111,812,807,010,182,089,687,198,903,943,249,
960,453,627,626,135,671,848,664,436,710,585,221,471,612,226,664,980,421,692,
456,638,528,183,405,939,815,983,750,881,948,428,414,875,118,866,694,661,845,
406,042,450,136,584,643,237,464,930,694,206,657,394,909,714,957,506,552,770,
858,554,709,228,005,707,465,615,824,046,247,789,888,238,079,057,962,504,151,
716,961,906,801,131,277,138,384,773,025,557,332,409,747,863,847,971,142,905,
822,387,940,006,577,113,089,782,648,943,188,467,921,519,897,196,701,997,259,
947,583,176,807,528,387,857,288,456,520,703,899,722,223,782,898,874,171,396,
459,531,179,676,143,578,229,262,000,080,821,891,508,122,281,001,745,276,519,
225,878,198,688,246,287,908,561,401,200,895,594,317,908,913,320,912,554,132,
656,415,331,131,026,702,597,253,149,629,488,784,979,451,233,624,029,069,180,
011,316,299,382,134,694,419,740,809,214,345,404,156,730,899,466,214,045,085,
836,235,886,877,040,667,936,355,616,945,626,334,436,946,921,185,457,010,594,
511,791,141,138,579,146,543,404,285,544,952,460,997,159,599,734,463,689,082,
965,443,848,141,647,885,118,395,258,508,315,892,492,003,274,551,102,884,712,
837,931,220,242,699,286,222,135,662,775,638,001,401,797,894,869,786,776,438,
427,228,249,903,214,286,404,396,802,232,638,071,692,873,468,410,219,026,885,
208,533,431,733,147,220,562,943,355,545,902,926,698,584,583,241,343,695,538,
226,110,733,664,717,917,195,719,790,364,387,309,450,919,251,412,647,513,291,
322,196,727,937,029,131,798,762,704,833,497,651,383,567,483,605,056,816,107,
764,133,240,774,117,373,879,635,540,166,158,766,663,668,876,222,080,372,511,
647,615,299,529,028,047,788,110,413,689,190,295,213,501,118,084,119,884,047,
964,400,508,701,553,206,848,932,549,350,969,146,476,562,507,886,356,296,323,
831,986,017,131,385,498,567,783,270,628,147,954,952,122,913,880,457,009,056,
733,917,400,736,359,428,767,779,168,797,371,865,739,646,322,102,769,161,785,
969,675,406,953,269,169,629,916,032,453,645,453,628,337,981,880,361,481,481,
803,262,887,379,313,877,783,631,584,323,932,273,323,167,692,333,273,831,640,
628,401,032,781,788,057,349,369,674,278,050,266,764,634,037,775,744,549,387,
802,029,583,088,740,716,443,994,767,835,033,603,549,796,404,643,212,532,656,
706,453,811,223,372,694,322,965,401,240,788,626,717,669,312,302,202,433,717,
025,197,182,028,372,343,218,411,786,768,640,018,043,047,847,014,115,772,411,
098,391,118,521,421,105,243,190,038,555,629,109,547,573,306,490,141,920,497,
923,167,837,016,999,258,564,818,860,419,127,802,034,185,433,612,352,773,496,
820,795,034,147,446,595,409,233,926,964,155,586,498,655,055,451,553,384,522,
988,719,497,703,956,167,264,248,502,422,950,936,987,808,639,419,971,545,373,
350,457,808,320,973,797,841,147,111,008,849,251,186,104,933,301,333,803,073,
300,927,563,183,576,717,084,972,758,814,861,331,479,230,077,061,004,743,167,
264,868,065,456,799,625,624,982,674,483,862,066,271,113,898,903,172,347,915,
455,033,206,848,296,836,263,558,150,712,199,008,410,226,100,249,642,430,801,
100,797,877,754,650,401,926,741,336,375,253,283,225,934,186,852,724,468,355,
507,243,854,393,367,339,400,865,557,018,185,441,717,460,524,827,021,788,250,
393,776,505,370,866,344,412,926,492,026,959,421,787,893,824,949,750,978,870,
592,447,115,908,999,061,347,217,706,795,092,645,567,824,878,741,168,698,726,
494,420,971,747,715,218,057,789,772,863,518,590,089,796,862,626,676,809,301,
497,155,848,634,407,424,838,294,266,651,329,771,118,747,622,884,893,960,908,
289,704,183,716,560,690,429,584,328,114,091,131,773,561,698,175,450,105,047,
539,811,297,777,175,543,253,043,901,832,419,105,842,256,665,135,178,359,822,
389,693,422,592,223,304,021,395,145,393,039,467,570,080,936,459,385,323,853,
576,162,031,095,669,443,921,378,877,570,842,138,272,681,616,870,714,805,954,
936,466,175,799,020,213,837,859,289,130,875,090,023,414,321,138,886,117,433,
390,293,461,154,570,337,549,954,655,403,668,187,958,176,033,090,181,589,581,
537,352,227,735,184,052,290,630,288,488,753,915,540,242,131,294,615,011,067,
263,106,121,174,011,025,748,479,215,099,062,767,961,178,107,600,644,240,721,
486,770,611,772,988,717,155,151,062,714,634,191,069,475,049,225,700,820,959,
810,161,977,417,604,958,940,991,100,297,723,552,099,922,132,782,401,667,684,
441,151,284,827,424,289,738,682,709,253,962,068,190,118,610,204,141,052,792,
994,436,153,006,844,348,298,302,103,799,856,239,563,661,661,989,140,844,909,
223,195,660,155,691,214,585,786,056,571,629,995,680,416,002,439,840,780,807,
708,833,855,399,327,622,934,450,714,486,870,729,402,715,691,308,550,821,273,
195,023,253,392,786,566,978,419,528,950,240,159,264,728,264,311,262,950,401,
587,464,708,779,227,566,265,598,587,945,621,568,453,802,925,914,108,417,944,
911,382,313,152,208,588,934,248,342,677,105,739,119,294,565,435,697,504,931,
324,141,462,373,491,649,216,371,922,264,249,974,354,282,535,306,595,349,628,
982,826,340,046,784,696,117,928,894,139,721,251,518,210,943,225,024,695,684,
976,726,581,764,273,346,692,755,629,596,158,776,473,108,829,573,334,286,332,
054,241,562,067,718,711,919,014,966,778,055,038,183,990,124,296,231,106,438,
626,231,005,002,505,814,110,250,028,003,380,540,248,983,522,831,695,151,931,
272,398,776,400,171,384,536,033,889,124,920,101,962,809,965,211,749,670,894,
962,390,722,489,232,861,580,363,126,406,242,594,224,829,059,393,530,422,470,
006,798,079,179,336,412,727,867,717,001,266,857,206,804,910,601,060,346,602,
424,442,473,171,374,298,509,805,231,265,548,380,625,802,704,066,848,495,632,
909,684,533,058,755,201,620,652,032,922,737,877,567,916,479,826,375,288,473,
672,958,221,984,579,995,630,856,284,620,070,279,696,435,429,457,997,645,922,
172,889,729,803,780,797,994,275,828,299,718,243,248,182,695,573,578,664,459,
881,087,615,643,371,879,863,324,155,723,915,484,924,138,720,435,269,370,189,
009,059,142,727,583,211,217,781,323,419,670,220,864,208,626,658,119,264,819,
726,317,152,257,963,207,265,844,302,488,631,974,114,931,926,743,797,163,017,
240,788,544,328,428,916,704,217,842,974,485,295,511,085,373,906,593,135,224,
726,577,378,842,217,070,342,652,208,354,960,664,506,584,998,605,992,883,213,
806,092,637,946,489,657,794,634,798,266,320,144,753,049,593,687,154,421,690,
214,606,173,513,572,920,872,579,019,029,513,471,419,561,147,431,675,169,573,
247,866,468,604,055,788,678,655,993,146,642,047,237,628,838,964,868,838,799,
624,092,480,660,890,120,715,204,818,502,857,371,097,494,184,905,666,042,351,
508,567,015,173,141,816,372,659,744,696,243,067,699,443,957,144,076,398,205,
948,838,040,357,304,378,687,191,933,239,722,065,449,963,441,906,069,928,629,
319,392,750,000,574,718,280,853,697,887,387,912,902,541,348,883,422,341,274,
771,294,184,684,982,388,659,359,937,659,556,203,979,943,778,800,816,735,395,
217,918,238,083,314,468,562,030,050,103,024,600,514,422,607,207,260,280,341,
064,501,119,603,153,191,797,448,146,521,671,406,871,105,151,745,482,022,458,
773,961,149,215,106,575,150,830,696,251,123,611,720,789,363,877,403,448,615,
739,621,942,942,783,382,057,308,194,811,946,047,443,408,783,117,622,956,546,
874,889,517,245,785,721,092,494,260,107,010,846,305,255,266,338,367,058,332,
757,434,225,080,108,877,162,428,824,471,736,871,335,172,276,288,031,834,458,
575,507,094,268,849,439,574,554,271,486,632,759,075,824,248,280,170,067,920,
776,907,663,251,462,524,273,839,117,047,807,720,667,773,987,781,831,216,292,
201,407,385,545,037,193,813,744,519,968,376,470,441,713,346,063,733,429,224,
247,993,801,857,138,561,989,736,293,327,778,289,629,925,119,401,001,331,559,
101,341,581,668,604,404,578,795,246,341,759,802,750,360,763,071,876,928,093,
030,798,959,771,574,455,764,120,682,748,640,836,568,735,008,600,403,806,026,
050,518,399,163,208,559,055,134,737,766,240,447,525,801,364,985,268,728,154,
206,425,184,672,855,544,788,967,534,687,540,574,097,418,495,701,397,085,777,
095,053,005,989,261,567,582,287,323,772,786,127,366,947,927,786,999,323,571,
969,488,847,043,088,177,368,550,084,591,883,107,269,249,303,682,185,728,466,
836,493,477,987,794,914,655,865,313,587,180,159,855,181,000,910,431,671,949,
833,501,049,175,950,213,571,558,238,833,273,791,974,153,967,827,365,312,144,
603,147,770,358,704,748,696,037,294,923,475,778,446,117,952,372,420,376,991,
147,029,986,136,697,727,154,327,053,534,871,197,741,872,145,293,574,517,480,
419,722,859,583,309,790,334,538,417,207,204,225,159,165,148,013,965,823,974,
276,552,516,558,335,772,439,518,453,814,289,158,286,056,388,748,059,366,664,
829,651,796,287,993,751,674,496,632,743,755,712,312,259,763,619,654,124,795,
102,894,793,582,455,383,696,842,845,751,771,430,285,782,093,331,433,660,006,
643,197,898,136,948,253,264,207,555,989,783,789,600,382,708,034,168,688,508,
677,771,269,992,008,390,107,173,936,844,558,515,678,419,738,032,887,934,147,
260,995,396,049,741,636,267,977,252,052,588,326,847,784,671,516,286,969,736,
615,581,542,436,090,457,768,816,182,239,227,811,584,383,616,757,879,295,336,
085,253,879,436,431,120,610,440,985,896,610,297,119,113,952,844,021,407,300,
158,619,601,162,945,724,975,857,119,983,185,097,388,950,355,985,464,813,813,
368,672,030,747,221,713,578,165,400,063,985,349,781,262,306,753,844,893,499,
360,202,601,255,534,940,115,190,831,276,017,817,021,381,544,127,407,221,344,
839,435,641,381,451,373,836,646,907,266,785,681,369,106,054,549,624,070,164,
469,305,926,874,897,401,659,561,442,009,381,551,355,160,576,840,314,506,714,
026,045,677,655,789,821,052,167,304,074,630,231,671,762,022,965,580,851,887,
241,578,843,454,336,532,591,126,189,915,271,346,049,944,894,364,622,925,980,
492,257,610,024,760,444,393,915,341,556,102,421,284,660,071,322,575,286,372,
679,277,308,681,903,983,743,917,528,263,023,324,277,392,562,910,734,187,704,
814,761,389,478,765,267,173,170,053,882,195,866,422,208,264,769,125,957,792,
053,058,221,128,330,191,293,594,067,401,271,996,524,114,011,171,599,309,489,
896,899,388,391,777,895,625,281,215,474,649,454,784,810,868,978,815,914,863,
468,467,258,006,015,218,132,918,763,624,722,436,025,909,911,985,038,831,768,
030,633,606,320,994,829,705,854,264,993,502,620,162,474,884,492,766,064,547,
110,764,640,851,324,363,884,140,845,596,481,544,377,527,559,296,378,901,938,
696,585,357,092,134,323,895,309,383,375,193,920,857,044,470,370,499,958,653,
146,386,824,148,949,471,320,238,958,360,027,340,658,194,875,366,565,491,323,
059,081,509,596,983,344,973,357,596,891,789,641,495,731,602,174,027,544,763,
809,565,357,077,497,864,262,481,342,621,384,374,428,009,270,622,174,612,427,
529,189,956,444,792,985,293,987,687,682,132,637,087,576,518,399,221,476,063,
056,096,139,818,432,772,579,947,686,279,844,035,850,370,635,331,831,763,817,
876,765,839,113,767,149,419,159,969,433,974,607,491,377,476,618,601,700,356,
962,376,331,845,751,167,827,850,721,273,757,159,715,934,155,543,809,594,179,
036,888,186,809,941,449,176,788,081,899,796,435,348,790,054,035,312,784,682,
231,558,579,440,511,017,663,184,819,165,087,683,019,147,213,538,651,984,639,
560,854,225,056,991,443,036,665,380,408,514,435,065,190,734,843,393,217,414,
381,745,652,580,431,939,553,295,387,897,600,681,636,827,428,287,859,546,527,
245,308,157,274,840,960,523,566,065,835,232,729,780,281,798,869,638,442,843,
665,891,985,476,126,886,560,827,313,289,908,663,498,551,383,880,942,626,171,
927,662,958,541,605,075,604,875,729,565,079,617,508,242,305,321,110,465,366,
703,456,049,226,454,231,385,551,629,654,721,773,664,900,448,505,199,720,380,
182,063,028,721,271,225,760,056,878,398,431,146,912,464,406,472,662,131,273,
667,803,114,117,253,155,804,868,592,443,525,783,568,998,950,460,577,487,195,
625,415,594,591,233,307,112,542,293,224,341,618,879,281,507,082,689,315,202,
153,215,066,552,355,845,829,214,754,312,768,908,153,892,995,734,527,688,622,
220,972,890,992,674,268,736,834,278,542,127,998,795,968,943,805,193,341,864,
017,027,105,309,998,720,034,509,348,369,577,058,587,841,042,645,423,584,437,
523,136,801,666,099,666,849,170,016,593,680,215,868,918,425,012,877,780,328,
509,922,341,183,708,941,049,652,731,854,107,957,966,355,913,529,900,839,758,
327,134,789,674,308,010,088,076,820,194,127,250,401,974,067,346,469,473,211,
720,805,267,459,230,593,767,427,632,573,838,166,579,254,565,493,839,306,796,
437,475,017,192,664,652,275,763,907,250,303,257,567,211,322,593,939,698,409,
996,522,557,351,845,894,208,202,250,411,870,941,459,064,538,880,747,445,529,
658,472,398,492,126,476,578,990,214,717,051,884,944,781,770,512,837,506,254,
444,393,380,255,372,156,825,209,296,254,008,054,814,303,374,454,471,179,331,
769,120,932,282,058,855,544,556,627,961,582,044,565,930,967,059,388,776,711,
395,988,266,268,015,247,385,008,913,913,761,804,600,801,455,666,226,315,519,
784,909,924,541,530,509,133,991,379,652,887,141,991,659,055,310,887,540,893,
870,129,428,524,555,994,803,454,196,964,677,312,555,111,849,780,278,533,873,
397,118,682,851,211,362,625,626,874,525,571,810,097,375,761,225,038,111,415,
232,645,872,403,487,099,479,900,786,201,712,855,839,848,656,702,541,402,669,
002,066,626,117,953,124,421,069,025,142,885,340,802,029,266,909,102,112,695,
791,063,431,460,246,085,297,496,374,966,035,104,944,965,302,296,705,616,276,
970,268,484,162,934,506,276,245,027,864,220,003,372,411,454,617,973,030,423,
809,991,368,968,527,299,984,400,268,666,651,368,025,442,004,552,410,328,372,
434,994,818,941,330,364,251,851,812,701,143,033,168,291,460,278,398,314,752,
364,296,385,158,362,929,787,208,990,878,013,311,788,775,274,101,690,480,629,
329,678,439,585,690,920,067,710,007,279,143,267,607,991,188,128,488,600,340,
815,786,260,007,501,667,541,657,737,297,832,191,345,973,423,301,685,152,711,
375,443,768,643,440,206,534,671,038,593,929,787,499,028,730,869,018,523,063,
245,069,164,404,701,312,321,566,814,778,108,658,006,888,387,850,639,003,247,
652,411,647,303,416,145,040,279,307,264,616,273,841,797,923,572,863,896,564,
659,520,387,634,994,022,634,086,567,048,871,167,919,130,553,780,392,278,044,
812,492,819,771,630,247,824,633,779,735,492,259,359,622,543,911,015,956,310,
300,960,714,974,303,679,312,431,021,066,204,550,233,046,838,717,324,725,774,
345,242,924,803,676,257,364,391,541,682,335,928,823,619,332,097,512,467,612,
946,794,965,881,532,644,680,037,490,843,396,337,234,780,600,847,127,708,150,
715,099,260,219,084,940,731,500,324,943,369,160,288,120,242,248,798,864,739,
532,202,435,982,704,803,110,135,870,319,032,757,512,581,180,913,851,797,618,
516,360,368,991,664,123,287,162,000,039,118,426,535,049,876,685,167,561,933,
781,824,877,342,229,704,035,972,210,856,496,091,791,946,542,004,059,433,560,
217,675,330,339,826,182,119,580,954,050,756,170,318,402,895,069,182,764,404,
099,685,578,971,167,262,470,583,653,915,970,164,897,577,407,318,557,244,323,
525,178,455,609,636,360,439,438,012,230,593,981,551,098,131,166,898,809,203,
992,297,558,736,948,614,801,993,161,260,648,170,783,158,155,991,858,163,193,
785,219,184,013,535,260,967,388,700,844,535,073,035,237,714,556,270,391,684,
639,707,136,680,779,829,023,359,436,554,285,856,000,280,758,132,530,356,780,
303,396,820,385,759,580,916,444,940,384,055,586,715,916,843,296,494,280,728,
149,390,775,929,445,029,718,371,700,044,041,830,739,142,223,832,124,468,960,
871,752,665,218,891,840,459,874,470,987,008,908,372,909,630,106,159,769,681,
812,110,436,291,727,222,014,331,390,746,513,556,455,323,293,393,344,199,514,
336,628,574,075,469,634,403,022,324,247,467,795,760,696,992,015,265,962,447,
839,571,248,271,396,684,995,972,640,638,221,533,377,260,028,202,848,273,158,
216,273,003,463,715,202,133,992,667,832,961,245,237,330,056,543,824,755,595,
447,532,633,529,034,936,648,367,316,889,887,532,352,233,831,749,258,340,708,
723,339,920,916,280,464,106,400,909,243,195,016,019,389,058,889,305,309,299,
544,064,273,749,249,274,631,170,376,775,718,615,032,800,866,178,578,150,580,
408,871,781,936,499,979,449,743,505,976,454,948,664,772,666,593,421,282,285,
485,052,076,206,247,843,694,064,196,231,754,035,511,421,451,494,153,531,102,
031,635,597,931,853,758,857,249,674,870,006,584,316,140,715,204,931,233,457,
082,899,201,063,941,036,725,653,871,941,572,021,056,925,048,307,273,059,183,
068,144,997,144,660,318,836,706,729,989,318,859,790,990,836,096,725,163,122,
816,305,040,543,532,295,756,502,086,907,862,978,892,518,508,211,655,768,830,
076,029,031,774,665,016,887,214,495,681,833,885,421,955,288,125,703,871,740,
055,341,120,729,394,301,356,239,240,242,503,623,685,846,417,282,625,838,606,
411,855,868,717,127,155,247,524,146,060,422,518,199,275,113,843,886,731,361,
560,512,535,252,617,724,977,131,339,939,108,141,416,640,428,055,085,463,262,
054,647,988,469,345,226,830,661,676,717,436,897,682,975,059,697,359,527,445,
530,946,470,621,863,599,585,073,412,955,934,774,179,846,466,133,466,194,759,
073,207,307,084,810,413,981,398,577,329,897,851,526,957,689,456,363,108,893,
397,684,500,360,035,123,271,430,966,440,978,131,181,334,550,199,822,778,514,
108,547,906,884,691,186,504,562,805,179,657,295,723,368,064,883,798,064,197,
039,525,088,736,085,298,895,324,829,524,623,282,405,528,858,302,149,588,314,
063,982,181,873,204,573,385,787,373,422,553,945,770,556,723,666,778,039,301,
499,959,895,776,635,924,190,118,334,934,729,713,072,924,149,289,282,873,012,
792,918,238,715,446,757,859,518,511,398,670,255,018,289,251,275,952,201,662,
202,448,422,467,873,713,083,084,174,230,808,858,574,976,309,379,317,035,693,
350,348,054,685,774,501,394,041,909,540,193,541,998,399,218,220,020,819,777,
811,596,536,175,505,465,112,729,964,045,035,701,749,977,586,661,633,163,021,
009,298,196,892,113,065,076,274,490,471,505,799,266,563,388,864,582,368,370,
409,624,284,608,297,191,694,850,038,122,798,591,701,493,710,028,851,229,998,
769,290,616,501,216,367,701,120,239,997,655,862,087,898,682,751,022,183,271,
811,499,714,537,966,940,235,020,176,289,701,464,389,565,371,650,469,003,559,
965,830,193,678,487,322,397,822,504,045,473,473,445,837,681,864,354,841,702,
428,505,489,281,758,983,143,439,792,911,172,321,306,901,992,070,112,952,907,
667,230,588,179,531,110,156,428,497,227,213,185,817,548,644,293,234,375,421,
711,271,380,001,034,396,666,962,758,201,934,157,606,252,112,296,464,051,063,
288,986,487,707,247,684,287,692,599,693,343,723,654,990,989,418,832,414,316,
327,948,201,050,967,311,168,998,909,008,869,949,143,752,441,616,128,135,540,
842,521,832,503,079,984,442,958,759,432,180,315,260,513,558,824,032,142,040,
977,400,214,662,129,871,032,227,257,250,227,902,511,020,957,529,172,373,244,
374,657,386,456,103,395,092,558,330,560,375,907,720,286,236,205,984,654,629,
492,215,254,672,914,220,793,227,764,358,815,622,329,674,105,941,267,306,970,
663,763,790,531,050,264,588,248,116,572,974,726,813,120,581,802,988,451,290,
330,745,104,735,072,972,292,606,438,471,416,022,192,924,905,985,191,951,309,
018,251,686,396,591,721,618,026,163,663,280,108,160,410,571,330,901,168,780,
162,463,032,942,099,369,141,666,738,450,939,007,845,494,885,828,106,077,124,
919,286,690,276,797,478,253,063,449,459,684,014,217,571,396,326,507,469,966,
754,981,189,289,437,867,231,347,656,414,764,105,873,456,517,136,423,590,723,
706,758,550,965,955,411,117,633,945,176,567,062,349,388,779,140,029,517,798,
871,246,787,322,061,916,681,664,418,123,598,452,204,725,081,475,259,788,832,
536,694,875,975,380,788,734,056,698,641,273,373,048,029,456,319,307,540,956,
227,004,082,536,769,533,132,418,205,955,697,348,310,481,482,199,063,775,486,
201,126,929,239,981,629,092,584,604,799,727,168,112,936,971,651,206,243,278,
872,672,467,395,914,556,955,190,353,858,407,378,400,579,925,854,515,738,920,
801,743,323,560,819,796,136,256,567,619,874,834,282,558,291,891,252,900,561,
328,602,794,257,762,639,360,908,843,643,739,644,495,512,726,617,191,165,556,
550,053,579,345,699,005,069,925,698,210,371,391,632,972,381,221,484,511,005,
532,312,790,694,912,126,149,966,857,814,410,220,704,044,558,003,535,389,994,
622,102,357,579,526,222,244,242,026,976,979,695,344,698,787,866,845,580,272,
586,856,190,952,894,648,736,065,080,911,792,821,382,030,993,280,847,681,983,
442,615,767,307,421,266,900,550,173,837,882,434,644,585,806,854,105,931,395,
623,063,651,967,901,791,001,779,265,340,912,045,616,385,965,432,316,969,471,
270,474,410,990,641,555,394,068,278,942,277,923,670,073,156,534,696,674,334,
135,587,103,747,869,347,214,557,674,833,351,175,084,092,649,185,589,719,114,
900,689,857,252,441,354,995,648,621,620,438,686,684,990,304,483,353,799,557,
349,749,118,134,262,243,261,199,117,808,531,595,163,333,727,847,259,569,118,
831,764,843,736,647,488,461,931,905,431,345,321,091,717,116,568,628,537,917,
170,233,649,265,881,484,081,428,523,490,150,253,266,769,561,661,339,793,124,
906,843,097,101,412,318,053,384,449,209,683,815,194,606,231,981,560,140,884,
873,455,285,733,883,754,122,492,483,280,944,804,684,476,026,359,998,672,254,
953,900,426,226,447,331,970,495,713,670,100,532,227,450,777,352,351,033,835,
256,299,424,436,732,609,743,400,835,428,300,964,831,851,322,867,691,302,182,
941,885,354,706,397,855,555,283,143,876,901,553,729,678,377,087,339,787,250,
953,215,930,674,306,852,334,769,806,878,476,108,308,804,170,587,518,110,485,
335,047,371,023,101,413,664,591,511,211,005,862,915,715,619,935,902,161,923,
033,918,381,904,703,875,124,466,797,369,476,054,470,903,223,647,617,931,577,
383,544,912,243,198,443,267,384,578,199,046,042,345,560,500,207,055,831,186,
564,057,501,484,902,450,686,134,672,025,132,783,546,335,722,065,267,117,643,
003,264,653,362,364,719,463,480,705,197,178,914,253,684,822,348,943,735,215,
329,228,045,928,550,323,576,237,124,491,297,699,759,780,320,877,473,359,263,
827,825,113,985,934,165,369,485,803,779,821,244,807,327,474,869,368,773,277,
653,882,351,955,922,534,941,680,502,991,211,132,245,140,736,152,094,508,644,
284,345,938,633,300,543,762,959,741,602,574,914,136,331,030,750,419,566,919,
962,958,078,040,897,772,218,015,693,634,159,248,355,581,082,792,921,152,894,
740,830,899,978,702,393,912,231,726,219,116,653,536,006,489,485,814,426,916,
093,883,038,772,724,468,265,498,814,079,241,758,671,751,656,135,256,066,668,
375,172,368,719,124,981,729,820,646,243,541,397,722,476,042,852,109,711,551,
512,792,659,711,614,113,485,503,651,823,703,116,653,713,090,681,271,381,563,
811,923,927,170,196,365,629,771,892,725,392,239,149,235,351,459,191,276,758,
212,326,547,265,199,780,698,198,921,466,905,750,566,726,489,629,280,499,170,
584,218,657,756,926,764,611,344,468,470,731,936,507,939,898,494,580,593,128,
260,886,271,755,027,589,797,533,513,539,295,150,968,675,504,419,381,697,621,
522,344,197,072,930,441,443,453,395,912,636,470,482,548,433,257,110,467,286,
015,815,392,492,098,789,945,995,343,628,384,379,669,831,721,997,499,947,631,
305,538,630,908,169,220,486,192,049,033,068,371,784,310,284,331,146,189,425,
648,148,809,866,022,239,888,408,750,843,807,049,941,332,359,476,635,944,122,
210,208,280,468,455,648,427,819,776,095,681,187,059,406,931,107,940,697,029,
713,297,130,046,008,696,224,590,887,985,755,145,739,642,584,287,998,429,571,
136,374,598,312,832,070,802,870,784,246,828,331,765,220,909,289,496,340,385,
547,023,517,904,623,507,358,657,185,863,686,523,347,229,421,189,505,363,965,
827,076,697,687,397,451,003,987,191,460,530,087,697,959,383,504,327,321,267,
877,144,785,786,819,511,854,921,691,966,507,400,303,972,872,160,175,119,809,
278,242,884,206,600,070,290,753,790,643,290,049,528,911,510,418,716,993,985,
121,930,402,942,514,411,784,857,730,027,105,461,162,488,863,893,355,312,144,
551,466,519,909,546,312,138,853,773,403,518,442,487,136,643,476,363,024,934,
703,805,018,672,573,439,333,390,212,683,154,530,213,297,504,444,942,700,692,
438,191,716,343,888,918,168,203,831,044,820,813,386,467,574,701,085,954,943,
417,816,200,545,674,393,750,987,756,248,674,939,589,177,277,383,265,237,133,
736,998,073,655,980,845,815,918,961,964,769,652,835,217,781,031,134,007,836,
593,345,159,501,446,734,106,775,678,301,986,726,919,024,812,245,910,953,760,
002,753,414,158,415,723,346,403,904,527,160,049,504,602,313,092,852,791,841,
807,459,710,886,279,384,314,165,402,382,540,440,560,145,275,620,499,949,908,
808,377,101,469,441,543,378,983,975,704,481,305,971,459,478,152,818,696,086,
868,545,568,646,495,969,524,190,365,884,210,456,751,347,248,378,711,100,262,
545,412,911,608,708,554,212,988,239,210,082,458,658,541,953,639,756,099,745,
423,943,576,684,479,649,560,093,169,342,685,621,341,067,210,190,486,844,952,
693,658,618,668,689,127,440,952,382,101,898,181,348,313,051,215,595,366,143,
028,097,756,671,653,462,332,411,318,309,776,200,339,233,507,459,662,814,524,
133,183,125,553,477,354,947,069,187,891,861,310,240,457,796,243,297,948,126,
548,799,986,658,763,566,374,258,952,007,504,093,974,546,572,651,222,496,503,
229,539,828,902,410,285,606,175,725,758,205,946,011,886,103,745,888,598,686,
467,104,543,241,369,521,515,399,288,449,979,369,661,390,460,026,142,010,054,
898,542,640,000,967,822,748,067,551,501,219,746,641,739,083,317,745,016,902,
597,252,060,955,025,695,594,253,714,636,434,337,528,512,229,443,719,683,317,
130,513,249,885,056,785,444,449,466,579,027,072,706,679,149,974,751,669,400,
184,256,381,500,828,668,427,724,206,695,530,020,685,165,455,559,503,705,306,
793,883,807,714,869,449,092,928,927,976,508,253,527,233,534,346,782,806,019,
355,643,745,211,784,384,011,714,039,787,866,618,708,461,327,097,071,845,269,
674,588,774,300,037,579,413,231,634,570,955,194,049,444,248,779,243,186,335,
858,643,864,589,782,184,891,117,861,893,648,274,041,463,514,441,462,910,113,
131,200,837,002,636,037,747,893,805,556,765,424,555,736,558,871,601,477,051,
639,342,753,237,805,318,875,559,705,050,355,429,776,561,575,258,959,484,117,
716,124,792,313,064,378,632,770,252,941,949,222,007,775,384,662,185,965,077,
421,673,948,202,386,433,069,420,955,051,282,169,066,006,735,819,316,744,578,
730,204,770,262,048,800,594,105,281,159,930,518,312,595,022,109,216,945,164,
942,620,378,175,275,996,046,394,687,667,916,037,438,699,393,580,157,760,464,
172,539,066,621,109,457,522,317,838,146,564,470,227,961,470,283,070,559,043,
640,629,506,787,908,059,451,575,982,832,318,745,865,924,075,012,572,375,305,
479,527,438,088,535,569,519,657,305,971,846,801,622,981,855,298,979,582,361,
287,236,621,823,508,726,360,056,620,006,244,738,343,596,872,664,844,232,085,
836,320,455,379,667,308,550,384,967,213,755,507,166,356,855,041,331,151,706,
681,104,954,164,040,421,126,496,963,025,710,268,305,057,950,408,674,708,655,
081,183,863,288,997,777,215,123,057,495,858,643,006,259,888,192,459,905,323,
118,411,391,282,075,700,414,156,695,610,145,309,269,958,331,089,009,433,775,
650,791,077,125,566,705,495,460,280,819,695,290,257,512,288,939,054,695,189,
504,299,982,031,510,041,535,836,881,723,296,464,198,521,239,985,272,626,841,
393,994,901,109,513,934,320,445,749,605,613,200,564,937,297,484,845,491,434,
355,815,746,228,481,860,450,390,496,083,559,772,399,122,924,595,208,922,104,
027,303,799,438,838,109,417,551,844,455,047,065,403,126,749,937,399,687,548,
044,859,457,136,748,927,585,913,205,764,737,410,205,423,363,192,692,519,115,
004,309,153,418,676,016,860,545,114,304,643,071,036,681,568,835,171,347,394,
567,204,862,071,433,535,414,402,198,055,836,489,035,402,980,376,209,566,755,
066,768,192,536,546,467,819,568,486,085,826,944,331,879,740,511,030,992,065,
955,937,012,331,804,416,695,709,440,586,600,534,874,240,348,313,113,566,466,
668,786,262,170,272,363,754,788,471,239,808,088,557,616,326,764,661,348,601,
899,562,331,714,312,679,753,799,067,051,490,144,219,001,799,551,354,578,269,
896,287,277,914,520,317,791,628,938,403,432,448,402,882,781,058,922,643,017,
856,653,661,761,937,613,626,567,110,574,512,636,962,045,078,664,821,506,587,
605,208,868,134,928,642,665,599,774,199,973,782,658,089,085,636,574,311,262,
645,922,189,512,822,240,471,007,201,839,349,993,077,692,201,008,332,466,485,
255,366,695,157,597,101,581,977,496,951,454,946,019,376,512,640,281,130,989,
971,635,433,883,024,471,784,610,125,110,361,835,916,746,140,319,455,970,239,
057,575,723,533,947,453,130,027,532,605,900,179,229,705,673,229,129,569,408,
483,102,363,926,190,261,223,644,449,262,215,325,382,760,045,758,215,763,304,
084,213,901,086,479,902,904,298,383,875,828,111,634,599,063,165,045,927,557,
243,880,715,121,698,649,604,595,467,173,320,653,041,689,565,210,230,787,846,
819,616,428,951,390,675,474,106,683,364,248,022,581,238,413,181,306,413,678,
399,714,146,699,544,563,697,955,219,802,015,565,496,585,020,485,268,150,111,
258,930,671,220,675,809,795,273,587,655,828,388,148,132,662,780,815,879,161,
708,123,582,174,734,854,295,290,216,744,145,165,264,239,759,537,304,770,540,
743,643,364,631,981,849,896,142,660,990,597,500,515,871,177,224,941,805,977,
798,245,520,193,715,076,798,201,099,482,840,331,153,020,282,565,380,685,903,
449,123,417,686,194,801,780,852,962,790,949,320,470,838,347,232,008,107,736,
881,592,866,140,604,915,215,914,284,772,417,963,752,335,231,048,261,182,489,
213,295,737,929,320,525,146,828,397,169,502,917,748,145,142,704,170,084,026,
155,572,340,883,600,704,860,567,296,141,958,560,124,014,168,565,177,495,923,
089,817,563,249,768,831,135,627,599,479,118,460,301,297,428,836,933,210,958,
223,013,528,730,330,263,500,545,962,955,279,941,147,764,037,774,476,459,194,
920,082,641,223,385,206,153,416,173,418,270,624,694,827,444,111,070,898,228,
531,384,417,159,013,542,344,588,746,689,757,557,378,365,631,131,439,012,738,
426,555,423,049,080,937,824,551,949,408,926,326,425,857,652,959,971,373,081,
357,655,104,255,736,753,355,712,287,648,831,216,820,448,596,906,334,250,416,
585,349,215,579,108,307,469,805,244,774,336,710,334,788,004,968,967,101,121,
900,737,365,749,243,521,001,064,327,894,275,617,502,873,680,978,330,681,889,
202,216,310,318,788,935,677,977,236,733,654,082,883,862,684,288,156,060,270,
790,328,667,819,210,378,131,444,600,190,178,823,585,015,546,156,644,785,159,
061,282,994,564,244,367,151,423,185,296,073,907,990,192,028,773,739,999,357,
002,345,299,118,642,940,147,312,428,667,313,348,295,402,113,326,811,196,819,
956,172,032,812,765,055,861,878,481,884,909,184,882,012,853,311,138,715,668,
324,520,358,712,840,533,274,981,587,415,297,767,489,100,642,182,122,124,532,
864,828,919,356,456,589,996,149,094,215,561,959,251,715,984,388,353,580,284,
290,356,249,367,889,854,742,078,764,191,617,364,006,315,828,447,185,622,730,
373,146,180,282,530,106,563,675,760,302,669,506,918,472,104,870,370,671,035,
020,868,675,652,133,611,589,433,443,627,819,154,187,728,122,694,750,837,638,
792,937,273,972,229,802,663,990,673,148,712,165,003,797,614,268,903,920,288,
656,568,863,509,264,189,392,718,195,046,176,406,154,394,559,226,053,862,404,
384,505,523,534,191,804,057,643,491,020,801,497,116,168,378,050,563,663,289,
919,081,509,557,911,579,266,163,560,619,190,275,841,920,015,633,649,726,048,
570,568,892,993,993,874,058,118,876,859,501,716,123,882,238,029,849,352,636,
063,938,184,251,337,755,766,405,681,403,031,562,177,036,201,075,257,436,965,
431,383,283,680,232,696,280,633,487,931,487,238,051,496,823,388,404,499,651,
740,649,104,642,630,776,173,736,969,603,819,858,713,135,803,724,848,965,780,
083,298,114,521,829,862,731,848,215,073,881,210,711,866,114,857,351,824,629,
346,714,523,083,024,100,330,209,424,132,718,758,448,946,000,546,479,699,226,
421,992,021,220,772,979,766,347,592,125,268,956,939,364,070,734,743,073,920,
235,213,109,200,473,768,227,521,720,962,895,271,166,740,308,712,634,876,647,
822,729,387,275,608,537,789,521,424,625,863,853,282,210,233,512,429,504,568,
036,374,281,574,733,849,840,816,107,354,516,820,163,631,078,915,662,565,687,
357,572,465,506,536,482,350,505,127,466,460,839,280,667,079,282,623,528,285,
669,895,603,560,770,389,241,207,671,426,479,297,392,354,825,468,193,348,635,
558,873,060,288,606,914,471,679,011,257,289,526,013,644,323,602,333,755,906,
970,519,524,751,854,937,834,365,687,287,129,734,163,629,789,402,146,398,015,
766,874,122,827,219,584,201,053,798,155,319,141,842,485,915,902,691,663,861,
212,355,879,369,341,065,939,038,396,840,335,807,103,736,678,433,047,146,025,
290,972,049,285,893,090,514,783,536,535,577,509,537,870,208,420,933,651,343,
721,233,392,274,307,676,200,612,552,618,048,422,384,249,398,137,684,459,877,
266,074,233,953,175,967,646,972,420,283,761,353,705,469,730,967,256,099,487,
007,666,032,026,144,732,039,816,645,598,414,714,537,229,589,577,274,199,426,
379,901,779,174,553,290,374,276,943,422,851,420,367,650,802,590,993,430,350,
424,690,222,983,773,838,134,016,002,286,041,750,295,585,995,991,213,400,732,
862,546,050,493,699,770,389,717,138,751,115,312,502,539,774,126,928,409,059,
786,834,311,532,896,584,689,969,374,160,395,598,503,948,581,935,666,423,421,
276,331,730,989,302,606,197,137,645,643,620,933,475,657,856,498,280,904,429,
152,841,271,251,323,463,343,709,284,609,027,290,324,289,808,161,692,657,161,
052,113,350,413,269,042,027,943,203,069,250,145,670,054,182,278,915,598,871,
780,012,412,362,679,552,752,228,745,094,009,573,687,388,301,369,695,043,123,
669,975,814,251,343,954,701,509,766,015,248,276,954,651,856,797,731,738,690,
688,580,957,812,394,570,499,916,545,101,425,662,670,017,431,338,876,593,817,
575,454,214,849,591,422,800,666,638,367,974,570,869,628,023,353,401,457,922,
020,241,708,314,211,051,515,920,659,653,790,395,846,579,857,914,251,518,306,
268,007,294,410,142,904,099,157,606,719,874,018,026,123,984,240,614,266,418,
463,825,247,656,348,419,299,255,009,163,991,872,802,733,342,288,005,987,053,
606,202,135,908,632,867,869,933,847,427,184,723,338,392,494,831,417,599,286,
777,420,673,003,333,206,540,901,585,299,837,329,467,341,025,745,572,111,690,
974,618,330,475,001,845,714,472,243,965,401,274,929,183,386,528,154,559,901,
633,350,044,501,716,043,248,557,189,321,358,687,688,219,514,656,161,229,686,
937,769,382,891,111,566,209,052,835,282,224,024,074,919,818,271,774,590,240,
597,083,940,453,395,973,851,383,586,664,976,747,706,073,060,487,484,605,315,
262,040,527,796,044,035,746,477,960,622,409,846,602,756,665,393,304,265,484,
209,804,193,038,751,230,484,050,660,807,052,541,960,353,974,893,394,670,999,
068,022,748,563,328,377,142,669,393,942,041,382,919,954,585,910,306,069,758,
469,918,202,764,234,799,215,733,973,600,856,049,780,286,869,539,052,714,759,
178,966,316,502,710,481,558,196,583,814,548,355,237,418,697,095,538,168,843,
018,267,216,627,041,830,258,539,045,587,599,552,775,878,050,947,526,712,111,
011,417,687,223,165,584,148,934,649,479,204,808,036,509,405,806,530,138,264,
499,449,629,740,713,794,455,132,738,372,824,603,178,632,327,575,480,160,809,
904,607,816,675,998,126,056,685,275,850,778,322,859,327,193,564,028,492,860,
667,906,104,099,033,150,424,533,198,013,703,050,460,001,250,540,597,585,324,
675,257,876,679,165,131,517,181,594,156,306,130,744,030,875,603,513,019,747,
028,621,652,558,047,472,558,827,782,298,084,515,231,101,150,921,509,183,976,
154,349,989,593,025,035,662,334,919,935,423,690,279,976,496,494,401,600,924,
997,421,918,473,458,273,432,640,755,750,657,481,923,010,991,566,959,176,218,
650,288,910,421,582,083,151,318,563,458,844,639,789,397,987,204,106,325,815,
132,494,407,313,490,572,995,239,794,879,499,937,696,434,620,551,895,979,648,
330,207,885,678,616,703,197,629,102,964,056,689,261,943,403,322,388,913,392,
195,446,323,081,397,847,973,541,256,382,743,136,380,166,866,482,987,235,002,
790,777,167,121,570,963,865,048,034,553,529,526,103,573,912,425,154,394,176,
335,995,647,000,851,187,153,954,007,610,564,798,950,466,775,299,827,483,417,
638,017,310,832,659,207,868,787,719,654,194,577,061,773,475,383,386,996,776,
060,883,013,821,118,601,240,709,135,143,792,222,570,570,138,015,148,910,622,
127,058,952,365,612,854,283,308,994,025,481,088,143,756,988,645,550,826,190,
809,862,079,659,743,134,662,734,597,649,819,194,340,038,305,831,701,444,879,
604,240,948,107,014,112,425,967,756,965,343,519,679,791,808,407,330,009,504,
642,452,604,211,276,481,935,536,933,001,162,509,870,527,635,603,477,496,850,
541,052,811,637,319,943,667,384,023,447,374,776,346,042,164,932,794,435,980,
431,446,837,270,961,214,655,782,159,169,649,636,992,613,720,426,178,719,276,
364,866,979,515,759,262,756,661,104,440,560,715,667,814,613,916,055,364,544,
639,228,756,127,067,072,775,431,833,407,630,672,019,121,137,573,754,965,946,
130,095,724,618,601,728,873,201,376,119,903,775,085,056,857,770,791,529,693,
069,206,513,188,258,201,228,968,670,796,910,156,567,174,501,557,147,708,745,
004,205,273,672,146,986,479,395,479,800,963,232,364,055,329,475,555,268,940,
081,949,959,299,456,877,799,412,146,022,037,370,867,004,218,623,493,854,097,
394,128,388,778,964,876,052,750,695,439,193,038,155,310,819,721,994,324,262,
251,184,950,745,632,459,627,606,666,605,166,752,038,009,980,986,523,338,884,
507,982,321,415,328,917,686,818,625,495,696,909,883,041,538,739,902,900,583,
640,255,735,821,137,989,968,347,091,472,996,884,257,854,425,952,537,271,030,
731,948,839,619,159,938,516,609,328,054,426,304,372,084,750,711,828,367,355,
521,880,788,854,709,972,341,940,747,592,870,211,882,287,446,160,564,107,626,
247,331,106,010,171,243,734,046,472,669,233,602,171,022,698,261,463,179,526,
167,642,410,399,101,047,446,082,776,646,644,263,681,978,044,604,395,303,765,
960,490,108,524,959,573,309,017,280,566,278,206,983,492,985,938,270,984,713,
705,058,132,009,722,043,366,253,584,753,758,267,895,922,108,750,020,160,757,
204,376,166,541,252,125,479,234,698,936,734,489,550,769,820,151,236,317,804,
731,151,066,387,020,269,339,983,194,838,832,120,595,166,618,143,686,206,775,
743,852,877,131,707,715,730,172,949,129,996,986,925,038,886,316,724,756,145,
549,463,182,591,974,860,634,718,646,074,824,920,498,698,619,195,520,610,339,
600,906,756,576,625,375,626,016,975,535,804,361,050,123,405,876,530,173,694,
745,749,685,951,510,779,801,671,687,687,026,340,367,580,597,551,444,056,090,
979,025,630,911,163,115,943,303,551,649,154,615,826,893,953,664,844,835,049,
944,293,345,954,593,608,863,845,275,570,800,567,375,144,163,334,751,576,167,
967,299,031,164,663,905,214,991,719,370,084,091,371,898,424,576,205,865,721,
328,784,407,603,839,727,263,612,946,787,928,359,427,121,423,722,650,599,382,
492,052,461,366,160,846,379,586,861,645,041,361,082,843,344,847,413,162,222,
706,486,351,769,376,060,679,822,669,018,569,125,451,749,177,830,439,748,251,
268,655,438,455,845,884,811,906,566,068,052,697,183,232,763,808,174,879,509,
204,562,471,680,687,969,692,970,661,203,312,287,945,474,469,901,421,921,604,
398,440,310,991,153,705,345,812,670,952,735,221,164,435,840,766,050,667,877,
586,162,453,883,863,344,491,435,769,949,133,182,770,500,444,167,196,237,539,
632,360,094,670,257,222,400,599,383,614,088,506,350,193,220,228,563,872,177,
211,679,360,433,500,621,472,395,393,136,640,480,778,361,245,821,643,171,302,
655,135,432,413,299,086,744,454,560,794,048,399,692,471,104,111,344,543,804,
906,367,260,484,650,220,496,855,104,709,394,599,473,973,205,087,890,044,058,
387,422,100,475,275,609,633,912,476,101,353,559,292,905,445,124,649,789,343,
308,706,181,619,639,364,129,599,981,197,269,983,791,059,987,630,304,958,506,
498,011,359,808,110,970,158,925,201,075,603,354,402,444,493,241,780,155,933,
398,708,535,352,522,033,256,659,104,815,067,814,326,531,789,555,929,309,400,
540,227,312,012,609,740,158,549,502,080,512,281,657,783,481,523,859,590,675,
050,464,589,422,984,739,321,396,118,132,599,645,879,406,654,972,824,700,874,
213,536,294,968,573,442,396,942,393,238,254,331,885,820,901,515,652,174,822,
164,156,843,823,039,760,345,482,766,193,077,123,184,392,418,193,526,793,423,
720,060,102,941,029,840,124,086,945,278,139,376,866,247,231,657,036,206,921,
642,018,383,352,706,709,075,635,183,505,718,728,474,237,908,610,605,564,962,
931,002,146,425,083,281,063,950,208,925,058,436,498,360,110,971,231,924,682,
384,928,571,679,812,869,891,663,942,062,601,263,331,763,348,787,331,414,976,
544,801,986,157,464,107,871,387,311,518,904,195,109,146,539,757,209,490,902,
458,199,561,842,406,508,713,286,848,852,615,429,438,771,605,385,810,901,448,
678,302,920,907,821,897,821,435,410,968,960,999,474,475,967,856,401,541,231,
230,489,412,733,084,094,910,998,401,643,290,917,243,168,812,175,469,575,385,
237,234,041,027,749,755,262,625,073,082,385,840,968,133,715,165,374,338,528,
533,229,530,507,599,694,041,362,227,900,104,288,572,591,323,772,022,283,197,
473,557,146,402,872,883,433,558,490,204,167,016,892,594,064,776,985,231,071,
030,056,038,292,287,612,106,532,553,159,438,611,605,554,427,597,047,223,470,
701,747,544,938,766,202,125,573,625,106,699,465,829,551,732,246,830,148,109,
660,865,814,371,260,901,854,309,056,083,501,238,801,926,361,947,939,177,502,
899,746,071,506,296,873,443,657,229,927,524,210,235,382,381,865,787,035,951,
078,946,253,764,654,300,058,773,675,315,229,431,801,466,860,252,434,732,112,
192,758,783,215,042,671,870,298,223,264,825,456,858,402,876,903,541,546,098,
439,942,484,127,964,252,909,792,828,763,391,276,317,070,698,653,960,723,132,
616,929,720,018,258,914,263,490,385,496,546,335,469,033,618,568,555,464,180,
693,515,429,375,208,994,337,251,150,313,010,996,238,593,465,780,966,091,728,
245,503,671,195,492,253,956,178,432,953,998,855,312,079,128,037,087,150,766,
172,371,130,136,740,596,214,586,964,644,360,682,724,817,625,553,211,782,663,
078,443,839,417,619,776,223,756,972,693,700,794,081,108,873,682,060,694,525,
456,885,297,049,673,674,873,474,219,961,520,778,310,495,480,605,359,752,853,
218,087,789,335,055,683,912,688,973,760,433,775,271,250,157,260,161,461,266,
089,518,832,581,228,326,323,924,737,511,175,101,478,640,273,245,671,995,232,
674,336,180,830,507,880,114,867,374,127,027,363,779,044,701,719,938,739,434,
301,942,190,776,250,593,261,491,204,191,638,979,407,687,095,288,901,774,193,
079,303,637,456,098,577,155,573,507,648,480,141,802,306,625,691,373,887,881,
402,655,789,941,714,295,262,779,170,181,845,472,921,885,789,331,265,410,017,
844,411,779,021,385,670,365,528,864,707,262,408,854,063,565,122,086,602,186,
080,849,338,904,480,200,316,455,693,621,758,433,386,135,512,311,676,078,676,
090,975,797,924,112,999,898,431,771,410,714,335,124,415,603,382,632,645,102,
219,678,310,426,137,429,015,706,273,634,713,122,253,003,662,913,140,168,112,
373,211,977,836,523,730,532,793,839,433,072,471,843,704,267,129,824,996,326,
900,003,658,022,547,641,656,124,587,525,637,947,607,122,635,653,689,045,206,
204,719,160,994,585,464,415,970,277,433,445,629,892,955,055,933,117,716,103,
417,028,015,103,941,750,518,653,438,920,117,965,657,907,010,667,749,771,060,
604,452,786,861,468,157,055,659,334,273,445,130,069,072,699,050,335,974,636,
541,464,260,292,347,711,815,295,911,946,514,700,543,142,690,260,673,801,405,
308,966,140,348,168,081,021,720,864,304,829,174,979,645,545,079,304,769,960,
009,422,030,951,427,522,457,972,489,212,121,039,805,361,228,938,187,407,128,
962,564,737,052,628,968,737,779,159,945,883,885,089,245,337,485,628,183,863,
839,144,784,335,107,533,938,616,872,633,496,717,029,758,537,225,259,536,960,
379,083,519,920,520,656,385,088,988,677,262,207,169,249,951,535,091,947,945,
398,437,394,558,744,797,875,246,549,486,270,753,290,786,895,745,791,353,049,
908,259,793,959,214,470,096,336,259,961,575,648,075,069,326,806,655,024,811,
232,119,095,530,954,363,799,207,844,343,862,348,301,488,261,225,542,342,827,
529,303,363,640,901,395,844,838,083,183,812,267,617,687,267,855,477,445,968,
896,542,255,262,215,955,176,356,590,766,793,975,652,235,099,993,251,048,055,
518,696,198,496,562,143,386,924,539,114,830,589,079,267,607,726,289,819,197,
547,889,812,810,564,437,311,495,642,177,592,081,994,826,103,818,366,975,693,
402,777,026,973,178,994,946,813,143,204,582,236,359,460,378,870,544,514,608,
833,935,121,565,718,570,247,866,653,534,002,643,181,601,314,728,802,057,009,
715,726,646,321,683,126,942,234,410,516,399,381,504,100,721,529,576,398,696,
360,689,923,623,261,787,681,893,916,356,859,479,838,465,194,530,466,663,385,
126,663,581,805,359,588,776,563,536,606,918,356,336,726,909,578,747,068,936,
914,660,586,843,592,986,141,872,638,863,488,570,718,314,807,601,931,004,994,
583,544,826,104,863,877,875,352,202,550,953,238,417,927,685,055,708,329,085,
671,311,012,073,713,910,615,362,087,632,629,029,287,120,142,157,040,344,323,
705,676,953,707,292,574,661,933,820,061,009,704,914,814,567,746,614,257,917,
624,571,959,615,959,981,813,188,496,946,207,972,141,557,406,582,621,845,697,
031,115,773,254,607,877,705,866,835,177,736,181,389,581,099,195,893,802,255,
692,040,519,038,464,203,633,685,998,106,062,894,212,273,194,090,652,232,924,
822,421,435,020,666,638,852,688,364,414,605,177,981,066,601,958,573,805,065,
988,689,318,946,744,905,849,861,843,845,724,527,943,045,886,473,421,576,918,
631,482,415,773,448,414,433,283,451,641,973,555,139,726,159,810,295,768,281,
910,771,622,067,752,489,545,871,073,097,736,437,173,219,695,039,474,087,466,
078,157,248,307,041,070,676,076,935,405,976,933,072,511,691,287,321,011,717,
812,405,243,999,246,493,888,094,276,120,272,215,729,688,742,924,092,439,997,
725,890,909,282,549,539,367,862,804,991,614,386,005,695,454,725,413,465,725,
189,657,023,705,014,289,440,343,008,198,787,296,586,108,425,702,044,990,791,
068,906,510,396,299,243,060,173,808,590,212,272,631,319,266,302,976,884,491,
575,415,876,499,871,824,703,296,020,700,239,683,740,036,085,141,194,214,161,
933,421,787,000,783,007,370,701,905,214,941,075,332,603,826,449,439,298,289,
848,646,663,862,211,866,265,874,910,578,789,330,514,920,043,854,218,946,488,
509,427,290,661,841,513,732,139,800,569,390,955,778,833,296,736,507,384,740,
168,459,980,915,428,815,916,207,513,604,198,125,070,643,676,705,193,029,724,
078,583,482,332,216,540,652,232,116,148,493,438,981,568,828,266,963,222,153,
787,444,741,982,809,537,759,504,577,366,974,067,857,664,444,448,004,404,759,
031,866,564,154,308,079,708,606,609,551,396,188,539,138,156,203,121,492,557,
298,387,048,487,067,721,975,807,705,988,030,321,144,481,059,120,796,680,507,
998,151,776,988,708,838,942,530,101,474,426,990,188,930,000,068,710,791,864,
459,014,077,183,779,557,692,932,050,330,676,894,321,549,985,579,010,437,040,
506,170,947,021,914,705,134,308,310,140,018,890,268,430,777,764,300,109,247,
982,191,179,220,245,884,122,798,618,047,423,848,874,858,061,413,282,145,237,
534,871,254,928,632,734,001,741,441,265,001,185,785,972,361,965,950,092,328,
672,597,462,406,498,112,888,692,151,757,042,051,435,336,416,985,254,594,840,
110,640,886,483,309,824,037,585,840,082,982,374,438,643,118,314,211,354,980,
333,674,793,222,545,687,342,939,156,486,411,340,135,797,733,945,939,988,567,
940,330,080,613,058,440,999,749,359,780,254,651,826,001,744,875,631,736,675,
694,632,839,498,908,615,080,417,653,907,512,293,372,677,677,326,312,836,578,
899,711,283,132,360,649,449,883,246,117,157,204,341,390,731,070,321,282,548,
592,352,424,302,106,177,981,128,130,713,581,142,473,429,883,911,325,924,181,
500,461,393,930,835,273,292,945,038,215,150,461,801,264,941,036,627,703,644,
653,026,817,780,672,472,464,251,295,464,575,511,082,616,218,805,150,877,756,
875,160,751,885,121,935,208,058,249,882,943,220,262,746,139,097,873,930,645,
694,830,012,661,214,381,587,852,845,797,459,437,368,589,486,140,275,961,260,
175,290,953,088,144,316,666,333,278,358,785,444,603,891,552,748,169,885,141,
424,762,091,900,853,232,270,962,210,056,718,907,639,681,299,448,684,714,656,
337,020,135,503,550,585,862,581,116,312,267,668,846,557,719,499,984,586,665,
487,690,173,426,628,188,748,381,706,340,784,784,748,259,248,636,995,652,717,
810,554,654,685,904,637,641,410,981,248,214,435,599,995,827,439,071,320,411,
575,005,819,761,371,033,021,878,397,611,948,970,328,351,024,426,244,805,058,
316,407,045,818,301,254,204,516,845,627,409,435,231,114,451,815,431,587,253,
927,444,770,726,544,306,705,747,997,190,410,605,230,019,875,942,032,662,013,
600,129,649,902,222,888,541,707,281,771,927,947,404,552,736,440,067,160,198,
155,450,160,779,320,301,815,921,543,323,183,587,212,309,948,667,972,046,444,
717,829,419,380,057,210,501,101,398,378,048,279,766,833,163,803,920,939,274,
690,946,743,859,022,063,460,411,185,423,311,965,238,453,536,082,967,757,768,
226,775,221,292,163,633,387,272,469,216,001,077,088,781,868,992,453,391,567,
565,524,052,672,355,489,083,044,607,954,974,267,523,709,653,881,544,712,324,
309,942,753,836,677,907,443,619,799,600,699,189,499,357,878,326,355,485,034,
368,941,612,174,196,460,467,055,531,193,256,140,854,336,638,226,097,150,921,
417,112,893,836,450,303,475,047,007,203,423,835,353,072,696,791,567,868,028,
160,532,072,863,956,913,110,399,114,247,468,165,627,940,518,732,284,391,766,
803,493,809,294,870,568,686,452,051,538,129,532,059,482,743,471,372,466,372,
001,927,144,077,346,524,548,171,272,841,563,559,889,532,742,106,699,830,949,
835,287,696,876,925,731,437,439,851,314,944,282,379,638,297,272,371,727,401,
639,639,997,399,716,195,360,653,447,742,339,820,454,085,083,454,097,677,329,
861,915,300,610,646,992,267,858,601,689,456,654,320,601,027,172,169,342,940,
784,388,376,034,754,976,526,399,428,279,840,136,248,852,833,822,591,366,866,
222,109,715,213,372,062,246,228,267,974,413,174,995,984,268,636,422,433,856,
843,578,241,856,565,168,160,212,926,643,940,467,150,421,969,511,313,021,911,
687,174,845,172,666,838,071,655,673,304,637,025,233,330,340,766,881,908,766,
602,360,456,401,921,147,441,399,135,791,595,782,302,697,699,322,136,582,956,
299,683,106,490,668,120,655,366,298,391,208,968,618,150,790,666,971,952,279,
230,782,543,444,970,930,191,505,397,887,087,380,642,868,017,512,194,262,677,
624,294,254,351,523,390,210,379,572,892,351,557,835,152,381,551,797,282,871,
531,800,858,154,165,431,837,792,388,839,219,758,031,997,925,355,025,888,320,
146,783,875,788,224,984,074,621,640,148,313,962,138,635,657,042,095,145,697,
320,639,936,553,662,326,034,693,628,860,284,994,089,618,260,190,326,993,486,
250,319,198,404,586,045,075,213,325,071,407,563,824,280,759,698,786,890,433,
402,188,832,256,442,708,614,627,730,272,695,440,752,755,978,391,761,028,751,
349,384,845,925,235,223,137,734,674,442,944,983,679,757,907,846,176,551,123,
820,688,972,455,566,781,504,586,490,501,464,255,118,320,602,423,101,694,579,
733,938,325,170,375,106,855,282,205,791,715,473,892,276,979,795,433,942,207,
478,957,761,167,941,444,204,660,788,038,640,602,371,670,242,852,100,863,639,
385,718,855,181,367,546,309,218,221,662,437,701,775,783,579,999,794,174,032,
979,465,588,196,957,931,795,637,954,429,363,478,379,385,556,277,832,210,450,
968,345,368,349,696,617,080,406,948,398,213,250,000,956,665,289,760,650,788,
197,947,700,607,453,201,938,471,237,153,246,484,639,113,780,035,087,438,385,
695,020,754,645,251,778,170,228,355,002,579,628,306,296,202,678,754,006,200,
986,756,106,494,199,244,620,840,758,236,094,313,706,322,794,822,432,091,236,
591,344,998,977,829,922,179,758,348,763,979,125,005,113,335,871,349,118,621,
229,241,225,918,159,703,621,061,767,791,285,682,053,726,180,548,759,149,995,
796,466,050,879,241,401,764,447,632,363,645,025,073,198,719,525,397,857,515,
797,355,010,814,618,450,958,986,141,566,796,210,525,518,381,023,994,523,132,
311,570,536,805,252,075,740,267,036,141,636,420,743,078,416,545,934,335,207,
495,843,824,914,858,610,025,151,533,870,807,180,700,357,788,959,405,830,786,
151,175,537,668,170,114,565,762,683,731,372,099,790,108,442,079,187,500,873,
089,124,257,273,333,593,445,838,868,064,037,766,286,773,524,652,573,421,363,
076,919,452,961,581,684,095,980,514,181,840,147,170,308,320,854,065,501,757,
296,242,362,298,648,979,213,236,614,184,272,064,542,680,602,438,036,515,292,
934,699,045,826,829,128,377,353,884,624,648,506,104,738,145,748,733,139,223,
221,896,403,833,847,412,745,205,896,152,132,795,523,904,973,203,245,394,249,
645,773,597,196,022,769,851,517,804,793,991,022,389,723,883,164,179,493,872,
445,860,229,901,231,170,417,445,313,313,095,405,529,909,631,628,713,744,154,
691,176,457,019,621,436,535,086,561,478,575,435,179,013,383,725,472,453,891,
395,627,233,661,840,045,077,292,271,814,671,975,842,370,575,049,716,885,287,
229,384,976,837,459,433,905,849,686,461,716,880,084,209,588,084,250,974,258,
550,344,594,420,123,497,095,824,717,889,929,333,532,969,490,615,776,359,123,
175,817,295,551,961,889,290,906,861,940,292,227,444,961,814,664,167,847,291,
102,345,862,386,894,121,013,966,844,616,275,511,338,745,131,248,693,151,464,
287,278,500,610,322,897,146,302,050,674,012,438,819,836,700,481,749,659,933,
866,810,780,277,667,814,778,392,287,703,200,384,454,378,736,294,227,530,698,
474,025,399,532,671,974,721,463,445,670,479,721,368,736,434,949,032,166,777,
740,798,482,681,356,185,489,426,922,262,977,568,873,488,520,569,079,682,985,
681,470,131,218,094,533,521,266,144,244,391,976,255,970,008,005,381,541,902,
209,302,733,063,284,209,258,840,451,146,808,812,397,465,779,765,988,121,244,
645,538,229,665,335,767,283,850,823,356,519,292,393,094,683,117,256,000,368,
239,744,053,090,069,079,511,720,179,999,211,968,140,132,899,249,000,452,749,
858,731,578,030,829,808,232,924,748,280,761,808,424,503,954,382,889,371,232,
316,071,212,384,867,431,087,890,177,746,165,134,823,889,892,160,800,328,324,
298,340,700,024,263,671,035,346,320,288,907,886,143,716,742,327,351,916,747,
046,880,277,301,323,305,004,543,355,587,361,917,683,221,712,841,703,053,155,
111,369,599,822,790,763,625,291,482,125,518,024,492,664,129,375,042,571,120,
329,054,753,077,190,738,835,715,541,869,642,328,538,442,481,453,134,675,692,
816,071,832,149,411,331,423,062,200,729,327,129,640,737,745,803,230,161,503,
164,192,346,548,402,438,414,407,126,781,539,424,288,121,652,956,695,648,973,
843,408,908,850,106,538,540,076,425,629,360,639,467,835,642,729,013,717,837,
232,788,352,295,294,162,732,682,399,528,051,625,635,121,653,338,630,927,959,
325,710,010,038,492,488,540,855,524,633,509,141,036,185,952,849,544,574,291,
495,242,199,627,803,689,675,312,837,123,324,664,483,338,006,126,492,998,852,
043,715,479,822,823,398,571,221,158,506,023,617,020,750,576,850,993,036,506,
904,315,184,855,901,215,460,531,466,894,033,808,476,222,495,176,539,108,313,
469,035,480,072,775,402,655,073,978,573,466,448,030,857,689,127,144,863,942,
427,341,072,393,345,437,460,642,135,985,450,065,438,581,478,162,308,549,889,
244,901,191,147,641,000,771,000,353,995,162,011,639,832,522,727,368,340,523,
661,843,410,146,517,606,732,647,918,682,603,505,202,529,790,144,746,658,096,
987,649,836,065,349,127,218,641,435,034,725,950,098,460,749,096,194,305,633,
683,008,132,281,459,611,232,933,452,217,068,098,859,871,526,102,148,432,285,
457,204,227,381,386,088,048,775,062,036,597,718,000,223,209,726,081,694,657,
648,675,262,153,742,393,331,533,526,842,395,685,768,377,292,549,550,928,517,
740,105,368,203,901,226,016,117,687,058,438,181,201,889,377,369,413,922,742,
128,464,488,648,385,747,097,375,126,780,511,995,611,033,910,324,293,720,858,
270,516,063,885,960,348,791,250,751,342,710,056,990,369,341,928,522,841,844,
520,264,386,806,002,969,836,853,207,212,375,746,436,537,400,695,175,379,683,
669,185,105,833,366,529,900,638,262,243,463,387,388,250,315,874,988,356,836,
592,859,357,695,154,277,362,135,252,252,678,955,008,232,170,413,921,377,373,
368,564,473,588,116,414,401,307,234,750,673,656,603,773,366,285,891,275,986,
550,668,953,322,408,897,628,154,410,935,896,442,045,418,257,887,269,708,448,
307,036,762,583,616,511,853,758,939,195,118,362,095,226,744,464,249,638,090,
714,213,826,844,375,616,595,762,526,596,022,768,115,941,811,502,935,958,646,
621,928,656,359,637,560,742,275,191,852,713,181,960,320,570,493,979,563,486,
094,725,918,082,953,138,973,683,901,455,188,137,703,705,049,391,444,170,635,
612,362,641,538,906,009,772,070,281,580,688,815,025,986,470,305,653,769,382,
546,295,852,093,291,263,703,585,937,669,770,241,454,050,905,148,028,715,459,
443,069,217,456,964,466,932,669,592,350,990,574,278,210,117,502,325,698,029,
937,089,000,986,559,517,369,239,082,345,824,943,682,563,367,935,342,622,312,
974,963,679,669,263,412,572,346,555,380,132,118,756,980,397,137,787,794,419,
658,831,131,446,460,959,511,257,889,359,129,131,951,397,882,522,632,474,670,
793,681,235,471,743,801,783,188,201,713,165,813,808,275,396,076,304,876,658,
776,924,915,686,825,620,516,097,819,016,748,980,897,815,471,563,012,327,003,
138,723,866,968,705,981,220,898,029,245,689,222,999,729,051,508,188,587,880,
392,733,649,003,371,654,149,460,564,043,614,112,174,835,731,257,731,026,939,
019,240,854,048,657,240,592,551,371,303,435,704,820,301,187,180,525,887,518,
494,063,477,942,537,595,866,316,055,781,090,613,934,002,679,626,271,853,322,
259,302,762,431,680,800,657,646,552,616,317,090,064,994,590,816,105,760,743,
419,518,756,265,801,266,417,434,353,396,896,272,788,465,886,461,504,162,812,
167,309,344,065,398,986,117,870,257,834,533,925,631,815,959,075,819,192,931,
382,054,472,534,894,059,844,084,079,905,713,327,925,684,182,181,988,553,152,
049,963,456,338,332,825,746,336,762,669,322,584,399,260,382,384,636,633,968,
927,075,296,455,057,652,566,779,675,559,489,561,635,293,899,106,375,728,036,
123,292,656,024,273,133,505,553,376,969,409,905,161,230,788,683,713,502,158,
041,754,437,351,695,905,536,240,279,783,963,531,845,455,278,612,140,875,376,
006,344,071,995,247,678,691,277,423,018,721,339,043,833,388,574,365,714,249,
411,861,904,716,453,280,975,666,917,998,344,708,889,096,709,864,375,302,780,
487,537,510,558,669,586,077,759,621,220,938,751,304,624,326,802,840,677,597,
826,405,875,799,271,654,089,388,371,534,443,082,249,987,254,674,370,841,111,
872,564,752,598,782,783,643,786,887,415,122,274,410,476,997,733,615,415,934,
504,640,962,265,188,575,707,027,034,655,091,977,345,109,671,104,590,954,679,
420,345,480,379,473,106,312,571,924,365,373,035,779,482,376,076,916,064,766,
081,516,170,286,962,417,208,822,170,595,654,303,032,539,661,579,305,592,075,
568,087,418,027,686,678,373,500,094,751,319,725,809,833,153,779,621,883,508,
143,825,653,831,951,559,813,960,554,548,157,897,638,814,065,940,975,962,664,
288,991,801,432,286,947,015,580,800,312,018,497,375,339,089,646,060,295,816,
496,344,770,357,039,965,685,330,294,958,453,925,846,920,299,486,717,792,553,
896,470,277,912,936,042,332,655,348,991,123,226,635,642,541,795,540,931,405,
081,906,952,190,410,493,793,237,046,759,954,539,049,404,785,242,690,293,363,
159,510,660,732,347,322,333,691,495,813,975,176,844,268,456,404,025,779,849,
780,355,667,847,976,929,115,769,751,858,025,149,679,936,370,165,686,277,705,
910,266,804,243,651,694,476,407,728,588,253,416,786,015,674,853,428,336,308,
112,582,850,374,077,499,909,326,009,851,560,924,633,251,481,126,081,219,632,
709,936,425,114,330,552,018,534,513,752,843,111,168,965,808,068,192,476,545,
352,312,016,492,022,383,373,109,987,706,442,854,963,067,813,138,203,945,003,
116,211,930,550,914,963,856,273,805,942,322,737,860,828,149,033,146,787,351,
193,129,661,515,858,822,229,779,915,350,176,151,060,570,385,740,915,560,882,
389,136,236,462,792,472,316,009,895,602,129,938,804,634,749,120,533,674,040,
759,048,256,413,276,877,610,989,876,688,286,812,473,784,830,954,989,546,579,
819,523,361,826,608,267,026,658,596,832,324,223,324,251,731,768,831,804,567,
890,237,921,937,117,082,240,076,440,395,007,408,083,654,340,667,326,783,256,
928,586,296,244,797,546,229,272,710,257,715,796,157,176,839,527,405,434,716,
865,132,927,125,222,024,418,849,088,404,284,450,803,131,513,965,293,335,836,
882,155,173,124,142,281,944,636,697,491,520,622,484,974,161,949,125,252,885,
760,976,630,836,384,221,095,200,694,581,720,192,379,333,107,654,537,444,460,
621,911,529,234,680,880,193,763,333,744,412,623,000,435,854,375,572,982,275,
891,946,986,455,804,339,505,196,258,287,461,949,036,757,095,159,522,694,942,
331,694,844,822,518,459,071,201,421,381,665,785,551,903,514,884,271,365,331,
532,926,829,269,297,020,461,786,995,152,600,128,982,598,915,875,537,397,089,
714,216,375,527,833,266,307,169,460,265,249,688,478,701,180,019,665,997,814,
376,956,724,278,666,268,494,625,429,880,509,737,218,193,167,599,298,014,052,
715,435,586,277,328,086,632,233,534,273,503,164,590,787,912,875,627,892,538,
896,130,825,176,846,560,600,809,112,610,768,928,045,358,608,338,502,400,110,
836,835,518,293,371,820,158,219,809,335,221,973,744,994,137,486,707,169,488,
382,147,608,136,606,510,109,362,612,486,280,968,016,386,726,484,518,397,014,
839,293,907,385,987,839,733,059,960,561,199,230,707,234,835,835,891,132,754,
361,910,462,397,178,878,150,486,736,596,975,928,090,695,384,529,232,786,677,
642,839,031,624,201,584,601,178,499,469,659,113,083,266,313,442,069,780,121,
768,423,501,811,342,911,572,395,443,916,810,035,875,234,549,875,146,284,393,
015,238,452,505,249,932,138,590,433,324,517,591,242,797,311,774,022,572,000,
411,005,597,666,634,573,604,387,447,435,200,398,668,744,446,832,043,396,575,
460,959,002,824,442,787,574,388,186,847,119,830,037,961,520,901,903,601,686,
980,159,664,296,570,038,350,796,220,203,218,319,003,816,569,250,368,721,390,
351,802,725,787,663,069,538,453,911,780,579,352,203,368,617,406,964,357,818,
321,810,706,459,758,298,560,842,846,836,368,057,319,078,880,767,655,654,346,
534,433,404,188,047,763,174,902,850,845,360,074,877,334,517,550,476,566,899,
809,537,636,235,406,990,659,395,787,161,106,675,678,524,810,197,315,434,762,
821,408,633,984,834,319,683,612,836,858,739,512,350,437,240,589,272,452,494,
296,549,210,645,043,083,492,212,762,870,918,807,618,399,626,442,187,079,866,
399,469,709,488,571,191,018,937,791,689,669,076,273,418,851,445,516,320,885,
130,027,706,271,744,963,622,054,812,684,119,386,516,954,539,107,491,557,601,
509,050,007,634,460,661,305,193,728,440,984,375,775,941,896,177,956,987,072,
083,894,228,143,101,817,437,440,604,455,235,962,833,349,854,975,947,060,521,
286,555,202,093,354,016,237,900,296,212,809,953,550,695,292,723,067,887,508,
111,771,041,586,256,197,965,910,176,989,556,923,131,240,467,357,044,257,108,
981,459,200,458,990,910,670,836,005,726,915,452,015,212,256,123,021,612,409,
052,208,983,362,702,945,846,820,932,240,738,868,499,693,811,788,018,350,037,
250,750,847,016,917,046,271,185,005,492,621,143,576,533,599,502,427,970,623,
750,050,386,601,424,155,464,335,848,764,375,063,749,769,673,052,864,379,957,
111,232,394,768,139,205,531,769,159,046,178,490,033,588,880,624,712,398,465,
582,376,675,871,856,187,323,168,747,215,834,137,390,009,434,745,606,057,903,
633,225,542,639,645,077,167,384,676,379,447,748,870,320,691,160,795,894,604,
327,266,905,822,949,791,982,069,073,933,089,567,403,447,273,917,383,800,835,
091,491,319,158,872,608,507,583,058,993,168,650,173,671,502,575,057,068,112,
741,698,419,178,605,375,456,828,413,367,192,129,504,937,423,869,418,119,935,
703,684,597,634,601,020,709,970,383,579,062,123,833,631,017,420,671,658,933,
801,728,330,903,711,439,452,242,028,070,759,961,171,730,077,622,249,430,734,
922,524,356,996,918,873,443,892,700,784,521,676,908,514,275,577,845,559,819,
391,334,490,255,029,642,545,763,478,807,692,376,687,731,479,800,605,510,411,
393,386,349,604,415,241,196,412,286,400,706,811,127,110,647,901,415,085,223,
259,815,518,786,668,363,755,200,961,104,121,000,916,934,979,167,546,281,416,
740,266,633,035,455,305,913,613,878,000,040,397,354,717,849,735,085,080,183,
223,963,580,789,420,247,449,063,662,181,599,318,950,399,260,078,909,071,059,
132,905,842,365,317,330,479,870,991,553,903,047,179,445,479,687,329,252,089,
387,404,632,999,108,844,638,260,491,545,872,363,179,501,367,828,600,601,955,
543,778,495,791,919,788,023,838,437,931,018,659,050,341,949,965,299,460,651,
519,499,858,666,690,979,268,151,930,485,846,353,168,322,283,133,015,100,882,
138,034,205,115,964,355,979,074,916,288,759,889,741,123,999,859,889,066,005,
613,499,537,722,344,052,899,346,323,908,139,312,880,510,543,499,035,373,919,
422,952,308,254,853,213,462,026,452,800,834,303,867,331,945,326,891,294,594,
635,259,171,552,340,951,120,346,826,977,139,547,864,384,584,008,202,352,622,
416,688,927,792,527,956,192,580,778,648,449,532,059,472,660,703,557,980,717,
399,735,869,395,868,566,656,570,753,695,877,575,688,599,562,190,382,512,650,
945,931,821,803,377,572,268,195,386,386,873,507,828,499,119,465,162,869,663,
385,032,667,558,619,562,177,179,757,153,389,420,049,928,350,205,494,988,052,
679,694,797,838,045,290,014,681,875,300,934,145,693,364,176,831,538,961,349,
941,168,653,500,369,097,144,506,625,979,037,237,860,357,446,059,155,050,867,
771,277,310,850,617,943,149,924,047,145,156,262,374,881,904,509,100,589,754,
492,816,784,958,869,983,144,028,873,031,192,202,885,907,150,500,334,531,171,
758,327,615,933,435,946,383,548,216,704,851,799,143,167,840,585,810,997,740,
077,681,897,553,725,626,547,096,091,685,432,309,753,823,200,962,683,571,512,
125,418,218,230,173,226,914,926,829,266,201,564,866,117,843,480,848,036,587,
457,616,587,755,403,857,796,303,906,171,919,530,762,743,555,781,304,817,156,
184,959,315,613,712,740,362,234,901,128,478,403,397,844,087,382,079,902,546,
406,609,166,246,193,382,821,110,565,177,407,542,334,933,145,215,447,418,922,
156,036,552,534,553,843,680,232,932,991,497,704,042,220,940,906,934,174,050,
749,906,057,090,240,579,717,791,477,436,379,973,678,818,846,424,794,581,105,
258,949,333,058,442,659,483,568,237,017,466,569,491,830,099,872,627,100,337,
762,544,006,383,527,431,312,555,279,372,349,317,512,206,046,588,648,813,637,
239,328,632,093,346,270,464,111,479,598,243,441,146,176,313,980,919,154,763,
765,026,123,702,281,556,625,209,964,986,516,261,400,426,185,376,071,006,329,
303,167,880,039,507,480,771,910,931,217,127,257,613,126,077,754,262,903,085,
132,379,492,118,211,478,156,846,689,660,033,420,037,824,473,018,715,248,008,
929,954,356,542,114,129,956,601,116,504,244,269,532,136,797,497,184,191,249,
272,373,004,008,073,039,197,155,954,701,902,244,071,399,896,178,986,420,735,
566,921,944,156,975,409,542,133,274,548,539,335,593,472,812,159,359,190,216,
319,651,296,076,561,043,652,020,874,029,120,272,452,074,050,531,489,417,988,
786,136,303,677,073,093,931,577,409,620,425,527,295,960,122,299,556,272,851,
101,484,814,330,589,709,871,302,282,535,878,604,989,523,180,834,983,648,375,
726,597,977,551,086,032,345,723,562,259,908,026,674,675,885,225,561,823,046,
250,799,165,725,990,413,151,185,336,535,125,879,358,713,463,151,989,840,106,
512,540,178,835,588,718,701,931,050,346,257,614,930,061,021,870,673,922,944,
004,420,892,640,347,538,422,331,519,674,405,441,819,061,594,724,455,221,353,
839,304,623,258,646,678,081,097,474,694,203,138,331,649,390,648,529,203,227,
301,272,753,164,712,690,563,012,430,584,064,188,457,676,482,362,638,819,663,
719,409,940,584,770,962,568,892,554,999,773,141,558,755,417,178,841,641,471,
616,828,604,804,492,152,441,913,022,767,367,667,399,473,135,396,625,703,457,
108,274,575,874,254,344,414,693,408,011,309,057,902,316,947,701,635,561,165,
182,299,442,819,498,759,854,583,298,011,022,361,929,137,544,250,928,483,554,
295,236,531,887,747,178,936,736,769,562,411,834,970,256,849,392,823,831,048,
888,136,508,767,912,898,337,971,492,341,722,609,598,876,724,016,201,703,187,
748,379,004,260,364,513,681,451,352,604,850,931,010,147,531,226,459,689,109,
903,030,446,205,084,702,895,808,627,029,765,481,357,896,181,192,216,213,764,
683,139,754,977,058,864,107,327,934,904,139,647,016,402,712,975,231,158,310,
243,384,220,624,539,010,441,697,951,440,172,811,255,269,597,884,962,006,255,
605,530,664,574,429,648,945,518,887,091,298,692,694,026,675,907,627,693,252,
691,364,497,081,488,606,474,354,318,976,912,658,892,345,742,016,476,990,985,
985,702,119,901,591,648,054,593,113,615,718,427,836,100,525,101,206,515,900,
986,035,326,109,405,471,140,008,198,082,364,083,886,986,962,815,292,430,178,
579,932,207,875,872,000,117,326,984,744,027,373,878,170,731,493,729,079,775,
724,174,397,627,903,036,882,443,985,749,554,430,878,998,681,900,877,934,232,
824,261,273,950,001,000,632,602,286,022,896,247,368,694,359,808,861,195,856,
702,553,238,224,340,635,949,613,650,556,257,587,181,289,457,216,088,673,834,
315,699,164,230,744,801,016,869,517,019,759,063,909,041,595,060,169,731,975,
812,706,603,155,691,513,835,049,145,960,797,607,430,366,693,289,211,369,492,
175,393,247,247,335,345,244,388,801,973,308,402,562,986,832,606,743,186,225,
944,567,176,507,034,473,456,516,800,565,628,213,824,907,420,853,764,219,396,
595,899,975,330,405,926,859,957,772,547,791,185,761,885,002,638,138,222,381,
974,892,195,918,898,821,106,573,825,241,856,410,555,234,287,228,868,939,239,
113,016,284,168,426,185,696,034,119,254,686,179,591,092,456,027,300,035,131,
423,031,118,688,683,450,216,831,294,052,477,952,959,390,791,680,993,639,753,
816,593,532,305,168,317,788,674,926,657,360,509,197,277,061,743,525,146,515,
736,640,539,747,535,510,929,964,831,090,935,275,997,063,450,742,578,575,741,
023,946,405,746,492,875,597,535,757,412,560,937,478,968,550,636,126,260,925,
135,982,383,136,261,378,438,682,365,111,748,152,361,512,775,688,980,680,968,
015,579,603,399,849,757,772,805,150,822,763,473,811,804,372,829,195,124,425,
531,669,297,397,607,390,589,350,222,399,170,978,667,898,843,984,316,935,244,
965,792,561,063,106,722,165,569,571,766,623,352,535,753,385,405,520,926,096,
936,646,823,581,823,064,498,949,441,471,390,346,913,344,001,167,832,412,218,
951,736,624,664,689,220,438,651,291,189,968,736,280,889,465,315,341,209,290,
985,007,913,615,477,349,649,948,773,865,857,478,850,932,353,011,326,488,662,
228,471,708,833,856,280,196,726,456,835,418,314,605,808,907,283,127,607,621,
524,651,935,706,491,013,514,800,802,336,814,753,205,717,143,948,282,570,132,
612,454,584,028,768,327,126,840,622,904,309,934,803,846,975,078,209,981,692,
747,938,123,272,777,471,425,855,559,885,757,476,870,860,481,320,922,883,133,
762,976,591,846,933,599,144,156,132,482,332,039,561,035,399,285,219,687,773,
644,619,836,861,952,486,682,740,881,873,132,846,535,647,171,265,189,579,554,
628,202,687,438,162,321,178,393,981,983,761,715,787,072,175,825,967,799,998,
350,087,891,080,873,499,217,336,506,475,981,618,518,693,978,915,771,819,286,
953,219,008,791,165,671,809,191,844,895,834,181,516,915,382,321,277,146,706,
271,293,791,744,941,173,524,874,271,866,505,926,013,459,860,702,946,849,843,
985,378,440,722,031,401,542,707,585,279,874,116,502,612,506,279,926,894,822,
713,998,291,896,612,526,579,498,469,995,343,141,275,925,093,598,533,925,151,
782,727,675,028,072,891,452,968,432,500,471,325,302,715,221,743,035,175,347,
365,282,283,721,912,697,515,333,016,667,268,705,150,305,228,396,069,416,578,
968,932,077,185,039,174,082,366,263,146,825,908,773,288,660,612,743,347,084,
349,296,429,967,933,023,076,343,000,102,437,278,608,716,209,077,309,781,206,
484,424,903,329,530,541,581,949,164,253,123,070,700,232,832,855,456,935,429,
814,714,399,249,981,328,730,919,519,266,500,707,482,241,752,605,543,349,156,
159,757,986,027,464,386,244,428,706,264,361,403,729,910,211,410,058,217,124,
789,814,790,876,785,554,959,294,402,048,035,838,222,974,633,039,444,806,431,
721,708,172,437,498,309,785,012,199,475,112,811,646,021,812,525,326,350,868,
511,266,884,227,475,868,618,490,480,278,435,229,146,087,129,886,216,305,089,
163,200,100,823,070,006,308,231,265,128,350,669,643,424,277,829,934,157,511,
989,205,872,663,264,217,456,114,752,889,972,668,940,793,486,058,876,029,422,
944,782,219,872,941,557,226,783,570,598,317,615,074,994,871,836,078,428,138,
080,411,796,673,551,301,090,037,244,833,761,619,318,029,337,773,874,437,557,
747,827,745,573,403,714,249,052,360,154,995,993,344,358,561,612,203,215,679,
149,092,772,725,926,970,742,116,623,699,253,063,338,135,488,632,380,215,587,
792,047,794,948,621,470,743,112,250,214,797,186,870,654,640,736,969,975,864,
155,087,985,725,793,668,400,483,851,812,023,102,210,191,529,314,133,293,049,
378,786,556,006,146,913,791,917,096,929,897,968,249,279,155,933,337,345,331,
004,337,012,768,714,293,087,991,299,903,637,752,125,853,438,227,988,868,216,
311,128,687,744,498,848,139,877,560,567,723,483,032,801,077,940,330,982,250,
527,628,257,740,962,837,997,165,082,161,306,322,029,531,486,611,917,006,851,
688,978,336,285,841,902,066,529,069,811,449,255,608,162,561,616,378,447,727,
331,813,984,750,090,088,074,647,810,094,264,111,709,740,674,311,365,670,805,
798,651,085,425,802,551,409,675,330,045,159,661,384,154,515,089,734,636,225,
364,192,023,435,958,322,669,559,061,440,280,759,668,545,645,996,983,889,702,
171,737,157,189,982,909,345,559,893,261,694,745,730,488,730,683,983,721,380,
744,732,994,056,657,247,296,611,594,402,211,824,553,436,948,852,029,480,242,
332,220,369,426,833,508,972,565,913,428,574,812,714,435,547,003,767,179,142,
439,372,412,255,032,100,922,682,651,088,280,280,642,597,257,037,487,479,589,
805,594,852,909,877,857,052,616,950,959,881,677,388,830,332,986,108,527,229,
747,355,976,096,583,540,123,212,284,779,724,544,809,434,019,086,115,864,577,
035,661,443,375,502,520,351,355,072,861,098,726,103,564,310,632,427,759,781,
252,282,664,966,690,753,085,720,091,776,106,011,287,897,985,763,803,905,673,
557,100,901,532,459,390,914,207,729,661,080,323,263,596,072,136,467,661,720,
478,144,975,204,561,689,577,342,980,363,269,479,256,501,932,284,312,833,201,
142,812,018,809,574,314,850,960,051,479,983,847,337,478,126,228,009,193,969,
575,770,649,939,765,742,250,902,125,776,814,148,418,485,753,798,994,549,857,
156,223,718,776,948,905,892,287,579,845,023,013,458,196,915,313,236,420,656,
547,479,856,100,185,493,398,180,533,914,185,358,458,433,028,592,084,454,873,
382,304,465,258,938,941,262,417,261,806,783,142,802,718,592,707,308,947,116,
625,232,197,722,424,342,514,741,399,561,296,130,175,929,802,532,589,900,105,
827,181,329,066,923,001,823,135,510,349,276,076,010,040,853,633,348,242,046,
312,799,055,510,261,174,257,973,062,520,432,061,325,085,634,925,201,500,334,
692,655,228,411,729,559,250,243,714,237,898,585,541,448,376,570,383,003,121,
861,721,588,352,270,685,954,557,035,981,772,308,072,420,431,971,709,283,196,
795,958,643,645,400,568,399,288,155,996,158,549,010,263,645,723,177,223,822,
205,612,778,010,745,152,563,690,336,297,476,330,615,150,329,363,234,720,576,
235,447,262,711,938,099,719,391,432,077,825,021,113,183,793,054,328,779,998,
778,649,750,646,306,475,082,370,238,067,900,588,185,326,975,185,157,840,090,
030,917,535,016,537,014,625,221,359,481,831,180,600,000,579,283,934,156,807,
858,791,427,000,437,563,078,677,350,860,148,454,903,733,107,134,452,926,340,
008,220,836,318,836,184,921,190,771,157,103,136,898,372,695,540,080,464,153,
444,241,375,912,493,829,453,393,306,839,453,327,457,843,134,233,525,932,824,
789,155,435,948,000,853,433,850,480,695,820,871,757,230,995,164,255,202,764,
129,970,470,359,813,020,930,605,872,958,413,859,735,937,147,978,147,490,550,
122,656,974,410,459,567,846,050,220,122,599,755,679,691,751,792,247,235,314,
250,034,347,936,409,663,939,530,813,466,867,864,146,978,360,259,824,119,927,
594,994,148,867,463,862,103,544,453,206,061,356,071,988,290,852,978,563,432,
598,864,134,459,886,135,228,377,188,156,881,017,796,698,722,124,102,685,321,
208,217,749,259,210,847,138,236,782,283,018,915,905,757,845,336,757,473,356,
374,935,683,550,036,270,766,430,133,766,855,299,431,148,503,524,847,518,065,
766,555,706,868,044,207,906,027,026,790,509,630,785,741,317,683,900,841,017,
621,709,038,754,731,155,944,953,609,104,575,423,356,658,617,727,949,555,331,
337,684,520,341,646,770,728,371,970,766,095,732,486,203,710,936,358,346,246,
154,268,700,580,212,509,721,385,644,559,372,886,910,081,671,526,271,412,303,
134,057,165,516,169,159,976,124,197,770,771,851,920,460,465,404,177,490,937,
148,400,163,862,101,142,718,715,993,335,805,771,478,269,620,480,617,597,857,
529,846,382,369,187,679,218,925,653,443,570,851,040,618,096,328,330,295,965,
690,364,833,407,571,975,816,887,083,080,169,282,285,769,913,963,836,709,743,
425,492,942,475,539,773,422,985,142,923,939,066,377,469,034,841,698,002,563,
787,446,429,390,216,594,351,754,139,109,654,307,442,921,862,613,380,881,859,
414,498,385,710,538,961,889,483,563,043,655,697,991,593,488,960,081,470,620,
962,427,048,605,551,769,869,114,947,317,274,120,751,736,973,309,602,927,346,
603,143,555,936,840,087,148,559,003,148,089,395,309,877,788,977,723,966,866,
254,476,979,604,864,243,193,532,368,096,732,325,855,032,347,170,383,655,914,
762,380,059,190,852,236,526,189,859,114,904,123,068,375,033,427,806,518,567,
876,004,496,930,969,813,340,879,491,304,283,348,120,853,579,481,212,417,919,
954,222,194,979,658,466,455,049,362,408,957,755,034,382,661,309,593,849,318,
942,106,608,197,869,337,749,399,984,054,547,182,563,914,219,467,845,089,659,
707,226,113,352,324,051,535,081,565,596,974,650,793,452,969,095,368,436,845,
947,915,283,159,468,218,926,659,675,592,005,188,720,474,189,568,484,770,095,
873,500,130,168,868,240,378,650,260,480,929,715,983,815,777,376,982,101,929,
944,671,807,787,518,824,499,672,712,868,222,808,370,611,659,641,761,749,061,
912,138,185,506,246,882,248,689,255,204,640,142,619,476,065,129,736,554,152,
148,030,874,454,881,545,302,653,424,178,254,182,111,945,205,729,556,808,437,
843,523,565,846,963,877,892,232,910,553,365,851,290,306,559,550,927,094,162,
436,332,942,183,869,255,203,312,912,010,803,755,895,493,015,034,740,765,953,
373,024,085,636,457,004,465,341,573,432,811,583,728,696,145,626,034,058,758,
260,466,376,725,709,282,214,361,292,627,585,515,210,447,719,096,823,950,076,
761,775,613,995,702,280,529,835,976,161,473,336,289,762,159,218,491,078,740,
998,480,818,205,534,524,650,612,749,697,975,000,168,007,828,194,114,084,018,
440,364,061,558,898,760,169,457,491,092,306,736,927,132,310,725,718,068,997,
294,648,657,651,332,322,572,090,980,261,512,691,582,883,802,264,346,965,195,
400,011,296,455,984,716,324,279,383,567,511,288,584,490,118,015,957,170,996,
656,448,595,584,496,329,797,830,413,244,589,338,738,219,107,287,809,672,751,
113,757,712,149,467,803,871,830,196,513,024,142,462,403,711,887,249,185,765,
974,404,856,049,528,411,647,750,756,286,204,976,322,622,014,997,826,598,995,
968,718,317,344,038,074,728,316,772,883,256,179,064,996,699,418,768,339,823,
681,206,431,066,261,456,561,703,623,783,027,677,505,586,568,667,646,593,940,
523,118,848,077,542,822,768,577,636,596,404,139,833,218,539,277,363,594,493,
555,015,323,309,444,717,020,105,590,889,537,299,976,049,015,124,231,745,314,
991,443,834,770,085,075,096,373,746,093,023,637,277,756,787,363,603,241,799,
112,115,510,716,193,564,405,539,663,841,411,651,140,823,241,775,209,833,768,
033,244,699,372,315,750,637,112,721,715,659,774,703,635,481,532,518,823,436,
238,791,241,525,514,151,281,671,783,572,063,389,692,825,607,311,430,462,741,
299,007,053,530,870,878,294,822,198,401,994,160,532,113,018,046,739,108,356,
512,210,154,045,110,483,828,634,728,065,841,316,578,821,550,171,134,195,491,
531,478,984,763,296,998,213,490,074,563,259,928,304,780,500,205,864,744,666,
536,872,809,840,564,556,400,637,070,151,878,006,170,250,308,238,660,445,984,
369,128,577,793,675,631,563,492,320,705,683,987,207,782,404,295,862,896,342,
644,398,516,431,132,466,165,694,101,767,888,708,716,583,249,177,262,763,014,
010,385,263,664,757,879,643,431,750,721,460,094,717,508,724,688,990,242,378,
711,867,445,389,990,472,380,095,797,793,397,350,839,591,925,975,911,706,136,
737,038,553,705,061,605,105,709,354,035,453,387,229,853,745,163,321,772,394,
902,770,482,404,805,569,119,874,100,969,795,135,385,869,396,216,514,332,824,
662,791,022,900,802,527,258,949,110,410,113,671,743,781,878,543,679,890,145,
589,051,126,254,952,987,962,421,125,757,252,631,691,612,641,622,357,762,177,
570,478,749,605,048,095,999,237,814,176,631,543,844,058,197,953,927,288,333,
548,471,753,926,332,284,646,945,402,992,136,001,089,302,556,833,005,089,992,
925,081,869,942,281,553,629,795,774,724,923,808,013,044,114,199,120,687,688,
745,941,144,240,319,333,494,403,819,898,275,704,185,964,364,041,844,838,318,
606,040,207,156,370,286,054,541,842,511,302,760,566,949,629,936,681,445,023,
705,406,475,805,947,873,141,276,974,130,688,368,193,173,994,820,750,977,734,
574,280,353,151,735,786,480,275,253,781,392,714,065,470,105,668,947,112,932,
168,116,598,839,707,436,517,005,508,475,664,119,983,450,148,211,826,840,499,
302,157,769,171,629,143,046,214,903,041,349,130,594,847,340,287,848,832,908,
450,825,213,318,767,578,404,691,212,430,011,307,788,135,762,996,276,419,892,
345,595,567,004,685,567,255,671,725,343,911,078,041,557,257,775,593,766,704,
070,861,790,045,260,778,979,362,141,336,976,345,962,173,325,248,467,022,168,
308,632,468,083,275,665,144,271,628,261,093,193,774,459,024,119,595,612,258,
533,376,107,514,968,104,026,014,702,298,202,628,389,583,016,303,025,900,468,
140,954,879,126,690,115,219,010,555,066,860,626,388,409,354,055,039,478,045,
097,301,030,998,959,861,302,088,448,079,883,187,853,263,123,629,097,831,997,
283,212,240,531,395,952,101,943,051,121,796,950,593,432,381,741,507,982,842,
272,091,097,305,027,362,840,837,224,971,882,462,835,786,552,115,048,589,881,
362,243,494,345,872,336,117,434,991,255,817,621,641,283,062,538,675,126,633,
414,545,292,538,756,166,593,916,769,528,257,038,579,811,024,163,816,478,515,
043,346,906,606,425,739,367,574,608,837,991,246,804,940,934,983,136,490,475,
312,751,258,766,871,602,379,381,585,278,489,779,094,006,957,156,887,263,417,
104,348,368,176,530,916,689,151,795,685,095,695,449,980,358,067,921,595,132,
438,813,743,528,394,084,747,763,348,489,467,724,422,909,977,719,161,987,858,
156,128,544,941,588,506,163,142,699,108,710,163,556,814,560,553,852,595,182,
966,888,158,694,064,268,641,131,108,898,873,771,925,406,920,800,082,638,102,
748,477,251,538,831,528,931,788,079,949,063,040,383,811,646,803,466,911,415,
761,974,289,488,096,586,825,186,565,037,974,385,551,576,333,875,772,405,038,
632,910,483,328,006,587,171,761,039,931,271,126,090,413,085,361,078,776,000,
670,468,359,040,658,016,503,139,986,379,996,220,145,594,164,825,301,020,799,
559,366,989,555,215,760,006,001,987,447,562,590,158,856,910,998,067,050,970,
943,597,589,036,526,041,588,557,260,783,906,754,688,077,813,766,445,309,662,
036,199,043,808,504,308,059,942,104,374,183,802,230,504,853,368,141,785,726,
100,344,906,476,516,698,078,789,260,253,347,069,404,135,769,808,941,939,396,
089,562,054,643,032,710,012,947,586,719,879,739,482,269,785,737,769,325,364,
196,775,052,631,059,407,538,655,204,139,574,299,183,716,583,781,665,009,599,
238,152,984,112,841,176,110,951,569,830,859,040,136,962,968,261,516,658,850,
561,720,225,144,684,623,971,602,710,885,767,999,615,388,141,328,225,876,624,
501,971,826,932,669,710,876,150,202,055,608,317,488,140,487,287,048,057,773,
000,617,235,325,586,670,814,399,292,409,279,308,699,134,260,101,411,827,110,
895,658,012,565,419,494,270,067,187,959,895,302,107,858,300,670,582,060,682,
318,596,432,150,811,542,147,847,130,348,096,651,550,405,538,477,153,526,743,
810,493,365,607,965,054,792,338,375,526,453,011,471,174,653,688,012,367,651,
813,282,884,545,206,849,593,553,937,048,367,092,178,032,768,704,943,251,571,
496,418,745,576,813,597,282,205,666,820,853,385,861,699,467,044,046,800,030,
302,128,183,911,542,635,888,042,015,949,623,571,494,062,255,058,677,998,232,
427,925,788,915,758,045,391,360,584,742,031,661,708,094,794,705,260,624,432,
057,957,928,161,496,255,038,012,743,557,212,071,179,972,679,835,133,408,878,
910,222,123,954,784,254,582,869,772,284,605,624,982,645,176,514,300,684,436,
256,707,768,599,626,934,300,590,400,296,646,610,223,145,074,248,986,077,050,
539,954,224,458,510,648,953,794,043,667,557,082,104,881,744,263,384,962,716,
765,352,906,841,680,362,693,939,620,665,237,479,986,449,734,252,512,325,529,
440,895,012,891,946,279,343,373,682,246,934,248,438,560,562,917,061,605,526,
578,156,056,968,300,492,611,787,033,509,528,371,817,087,929,037,003,069,080,
740,809,847,561,208,446,302,970,955,767,932,016,986,664,524,505,058,665,161,
907,382,138,469,201,926,061,414,399,508,049,925,681,445,169,932,169,868,198,
884,755,832,481,366,142,124,733,114,894,919,687,861,400,969,402,925,981,118,
926,567,386,397,988,701,308,597,581,451,531,567,471,337,912,381,448,480,533,
408,765,613,691,199,495,504,093,659,671,496,058,478,443,224,274,639,978,929,
234,385,748,792,768,159,194,615,174,537,147,472,383,680,823,398,047,565,261,
628,997,737,998,747,616,819,573,631,323,923,628,675,225,113,068,969,819,389,
845,781,983,071,206,716,150,633,922,813,715,767,695,199,874,879,294,160,718,
951,888,667,787,012,981,168,834,639,430,751,956,906,683,687,253,776,898,452,
132,895,189,503,910,167,080,061,111,833,050,312,441,366,658,387,518,249,432,
770,176,502,235,458,642,092,002,903,310,329,352,550,173,638,285,938,550,572,
558,151,129,471,123,778,549,693,933,116,510,090,111,347,536,225,221,202,800,
390,454,126,167,428,114,224,445,460,643,442,691,188,103,832,171,309,006,211,
904,082,007,286,759,389,527,250,008,029,125,428,318,410,479,201,071,146,452,
423,256,677,581,717,149,538,574,921,536,391,625,014,960,110,487,264,106,010,
408,605,095,785,612,313,230,519,904,839,163,625,519,585,252,149,082,718,520,
767,858,767,462,108,206,382,866,606,234,062,204,466,424,689,966,552,648,760,
073,850,073,403,258,873,191,181,332,371,087,110,174,270,984,264,925,627,474,
471,361,135,149,230,576,207,335,628,924,434,192,499,510,209,094,288,429,998,
025,604,143,542,866,643,486,822,273,567,010,300,932,925,147,611,246,049,736,
983,197,797,133,164,654,991,888,330,869,953,499,010,557,116,927,409,424,001,
318,163,444,720,124,165,393,460,795,944,368,720,929,951,753,287,937,138,208,
943,981,919,066,841,270,530,810,538,462,528,099,508,066,033,630,834,978,814,
582,463,612,788,782,841,245,146,808,250,630,225,427,453,907,260,173,279,699,
074,163,549,722,113,190,325,099,367,359,534,642,714,819,867,648,590,177,017,
570,733,390,181,942,202,199,458,506,720,286,411,877,534,700,382,684,082,206,
181,808,518,050,768,488,426,057,488,267,166,596,476,703,272,279,421,575,807,
026,279,878,398,850,378,955,220,133,126,643,926,919,036,132,746,508,208,191,
827,233,610,884,420,743,159,756,736,073,025,431,700,620,922,165,910,330,054,
427,271,735,661,797,469,318,450,474,099,332,203,623,941,486,164,524,362,010,
974,418,600,407,371,385,773,479,954,400,821,016,623,892,256,219,848,090,243,
835,614,558,020,479,115,173,685,667,255,302,782,974,841,168,819,601,711,287,
586,736,755,226,464,567,191,242,156,684,272,577,792,982,290,406,990,877,769,
101,120,015,662,635,188,112,994,183,463,760,747,782,475,134,232,862,033,393,
039,048,791,438,206,858,717,961,443,718,482,788,751,616,857,555,745,011,461,
639,205,537,137,729,056,260,179,503,587,408,522,669,798,572,199,706,514,687,
994,984,091,955,648,519,263,734,101,166,087,075,880,991,294,011,152,960,396,
546,847,357,523,766,320,729,916,187,243,858,344,928,317,107,567,871,975,837,
764,812,309,258,786,355,166,717,441,922,249,186,736,023,428,658,479,786,801,
976,412,549,013,649,284,439,528,970,751,965,540,868,823,556,125,607,349,594,
163,623,206,382,352,358,418,214,084,459,752,456,412,717,312,941,547,622,609,
296,943,786,357,764,583,002,648,653,901,602,463,824,124,436,693,745,646,253,
041,883,997,321,987,274,691,368,456,776,277,019,112,523,457,035,309,251,784,
119,310,123,739,627,831,221,586,581,553,523,447,732,280,611,980,213,884,210,
291,867,560,940,726,316,719,312,868,075,378,242,233,882,427,664,544,879,054,
770,205,003,471,435,714,822,890,819,361,785,510,771,198,029,225,560,229,597,
018,550,611,184,541,435,797,986,794,087,488,217,267,910,573,458,111,828,717,
825,589,995,426,698,584,279,182,257,452,158,574,507,170,087,635,021,114,737,
873,797,933,056,834,672,708,771,939,699,331,008,418,240,215,019,139,500,804,
421,717,668,152,658,698,478,177,158,694,699,017,506,788,246,507,769,850,599,
394,363,263,641,237,288,306,812,193,060,837,013,984,476,380,012,629,379,413,
011,534,947,229,955,160,139,799,486,601,874,350,629,140,380,466,289,614,654,
724,063,489,359,096,705,564,368,381,731,318,002,220,518,116,388,829,286,154,
643,788,129,349,293,368,476,379,355,264,261,880,931,848,064,804,656,229,528,
079,756,303,470,623,985,440,975,123,501,434,165,832,065,800,942,846,503,839,
932,894,385,441,408,000,651,938,438,014,248,997,270,655,510,465,284,339,600,
645,341,979,280,731,071,077,893,294,623,004,724,742,169,330,241,913,484,625,
976,349,706,685,935,112,290,067,361,365,416,136,748,042,536,350,465,743,894,
145,019,286,784,412,804,953,271,158,539,823,889,380,730,827,653,860,806,801,
554,132,572,979,077,042,938,306,870,623,018,597,677,283,975,775,788,781,400,
351,836,714,972,316,700,606,792,904,545,530,865,202,552,318,679,064,844,868,
193,744,152,317,691,293,854,459,840,535,673,850,215,356,726,089,511,676,579,
477,428,014,422,123,923,193,061,514,107,164,114,066,812,414,658,482,419,377,
586,333,391,927,966,144,597,427,430,965,225,991,457,996,343,718,647,906,077,
745,297,313,126,270,040,925,721,006,041,928,948,130,975,526,617,797,125,706,
723,093,028,432,346,382,541,686,006,536,131,329,015,603,431,308,324,593,573,
812,622,293,792,422,230,082,883,550,688,835,807,838,618,161,656,511,959,853,
638,842,611,528,769,842,866,807,603,042,437,817,367,952,015,305,620,353,716,
701,164,801,140,917,196,675,726,383,677,670,679,405,928,608,486,383,477,800,
549,234,175,189,871,655,743,142,825,023,789,828,888,203,376,932,982,060,572,
274,604,445,883,518,973,083,463,052,661,582,679,822,519,918,092,502,710,769,
074,152,790,283,752,326,021,456,703,843,149,066,802,382,273,136,541,525,955,
393,155,735,694,561,392,341,793,241,051,966,673,872,422,066,078,183,503,403,
222,170,474,036,699,876,956,758,125,322,245,373,892,142,027,892,560,517,011,
313,589,276,575,747,195,079,141,540,344,063,688,855,902,175,846,037,597,306,
832,387,015,686,259,139,294,886,346,495,483,089,881,791,146,165,483,635,073,
124,524,459,120,488,083,137,750,969,332,822,776,482,339,110,142,750,205,567,
691,705,206,887,550,293,029,002,870,851,398,596,167,084,385,706,382,040,654,
726,599,227,303,765,646,740,392,848,403,191,723,814,278,708,633,307,148,635,
236,641,640,869,952,737,240,131,235,870,417,418,349,046,170,832,215,867,843,
157,847,169,698,251,197,763,465,050,779,452,013,117,643,017,009,452,829,387,
812,188,254,291,011,068,119,544,971,398,320,736,653,927,201,099,210,903,654,
377,577,770,255,399,759,727,595,993,116,105,067,883,469,763,574,972,433,951,
623,974,370,654,547,081,414,906,147,895,042,271,368,310,396,831,047,913,377,
678,151,883,354,002,898,744,414,977,145,315,882,462,507,688,114,163,893,790,
786,569,627,165,635,860,134,985,750,956,729,117,111,447,446,611,876,024,878,
584,766,475,413,048,623,648,556,886,133,159,489,879,065,204,228,426,698,128,
181,265,326,281,372,295,205,279,551,253,477,308,558,743,557,662,862,698,724,
864,134,742,672,317,732,187,730,239,049,520,831,395,843,601,737,821,518,429,
363,286,836,288,826,279,368,489,850,177,596,547,557,599,556,486,840,919,577,
423,359,185,824,091,952,434,751,353,737,902,932,680,568,509,583,603,716,458,
932,133,422,494,212,083,476,937,563,899,273,470,897,150,613,466,262,529,960,
754,032,914,421,862,830,021,892,960,894,697,332,847,245,654,804,069,940,671,
958,950,678,436,896,851,087,529,205,812,816,728,593,213,745,602,016,598,629,
221,407,150,959,849,538,484,341,128,662,210,655,786,224,973,203,722,936,506,
708,662,211,210,996,153,900,696,149,418,066,532,566,587,144,336,235,706,788,
328,066,822,887,179,135,559,563,466,236,645,916,472,811,759,386,401,141,060,
954,517,871,410,790,300,376,342,881,197,352,333,741,967,311,269,232,823,048,
641,909,861,640,493,404,418,543,984,031,008,531,163,308,513,288,914,077,865,
015,322,122,958,971,674,627,087,698,871,843,207,810,750,262,366,695,170,277,
322,057,876,786,613,502,091,346,742,555,320,694,261,107,340,298,597,263,741,
597,941,596,708,343,699,200,371,759,347,867,914,695,304,515,973,308,669,275,
790,492,748,270,897,957,074,537,758,563,243,674,554,773,097,656,085,008,489,
712,682,740,980,106,535,016,607,100,218,639,109,058,978,169,773,629,354,725,
240,297,177,312,845,656,798,834,962,745,561,069,615,414,838,687,343,317,296,
919,373,603,606,525,096,949,558,857,741,261,630,546,856,817,828,078,686,675,
951,516,122,267,039,181,126,148,930,324,315,514,586,866,495,740,970,608,642,
390,520,514,632,826,730,141,708,195,894,335,948,551,823,319,965,429,882,428,
221,241,583,059,111,169,671,309,269,435,014,364,911,482,203,994,647,672,484,
811,011,647,349,393,582,753,851,325,792,385,196,921,666,806,582,955,317,871,
997,224,843,604,021,477,820,134,419,531,092,670,551,228,991,814,377,082,468,
147,251,289,054,710,565,990,444,242,210,167,776,449,250,813,717,644,788,034,
306,614,867,446,148,107,641,125,063,485,181,427,472,392,802,994,485,612,472,
682,109,612,740,047,069,687,156,434,831,421,158,414,686,793,239,616,916,024,
554,884,657,254,837,948,333,776,427,404,892,856,085,577,483,678,126,269,672,
955,452,630,108,163,847,248,873,901,555,120,444,968,748,103,522,931,009,232,
656,473,773,858,606,049,635,016,690,185,997,146,151,844,567,648,179,907,699,
444,421,047,608,060,803,583,369,095,254,562,404,537,982,946,004,819,732,551,
185,520,963,744,662,033,230,696,034,517,713,976,082,549,389,079,516,966,264,
853,547,360,319,772,940,437,665,002,046,853,420,983,152,278,793,882,654,981,
507,870,327,911,619,269,037,071,984,682,604,315,417,569,996,155,834,802,856,
287,181,271,420,531,095,165,723,435,924,026,457,261,980,693,831,011,469,349,
411,849,550,538,230,370,993,107,626,450,615,139,504,187,610,306,957,574,677,
991,290,686,667,558,433,124,624,521,840,822,075,513,246,675,378,312,228,327,
281,273,036,090,443,036,324,284,279,509,428,542,436,902,365,560,874,891,183,
715,216,116,908,716,751,924,698,989,068,712,269,073,326,074,941,582,586,120,
125,571,559,721,186,014,157,923,981,165,530,171,551,655,114,214,723,217,852,
462,112,813,906,164,082,525,839,081,732,287,336,224,732,814,553,812,995,576,
377,051,511,645,547,198,748,125,298,593,937,785,589,412,305,036,237,739,431,
955,169,854,280,218,701,333,467,131,378,744,214,647,742,566,287,411,449,031,
061,001,129,530,873,948,090,230,347,501,817,403,618,556,605,049,538,758,592,
301,963,083,194,599,069,299,982,825,609,093,676,452,314,321,148,084,000,045,
269,203,407,942,369,419,033,970,892,582,895,674,330,975,304,198,839,360,755,
396,392,057,523,725,494,016,720,279,451,383,851,498,290,173,762,846,869,692,
986,074,204,941,185,870,423,775,573,508,422,078,388,293,311,093,878,241,992,
829,821,733,173,694,720,749,651,281,048,704,832,439,452,301,727,639,141,940,
763,356,717,871,101,430,738,453,922,431,858,094,376,865,279,251,182,502,775,
928,618,336,312,401,107,582,113,720,079,417,374,910,811,809,731,733,160,152,
941,901,546,797,574,260,617,001,732,895,340,278,618,323,714,942,383,467,529,
474,365,138,874,908,910,119,848,024,012,407,098,486,713,519,118,236,120,955,
379,292,376,382,806,584,358,639,391,769,091,280,551,514,241,931,277,760,408,
063,581,642,139,351,472,093,576,008,223,883,142,934,733,869,511,256,465,044,
911,492,169,723,110,592,720,123,293,308,946,659,107,488,310,861,161,276,393,
963,981,511,113,614,121,827,990,747,188,706,357,088,725,846,085,376,703,537,
360,134,627,236,693,322,957,808,624,613,692,352,342,237,623,132,575,634,183,
301,973,428,628,663,258,524,127,452,083,989,286,755,897,081,978,414,176,605,
993,911,738,392,193,941,289,724,266,251,660,497,533,148,870,583,187,143,310,
374,530,914,292,180,053,438,215,658,294,770,454,385,368,216,468,300,520,954,
379,260,698,046,866,207,115,183,823,691,902,596,875,052,985,329,654,819,404,
963,705,745,805,471,004,192,477,948,399,658,800,185,922,114,634,089,226,362,
931,411,390,372,308,861,741,645,799,703,052,944,036,678,777,423,973,899,635,
233,116,154,739,016,948,044,779,073,835,135,075,527,309,166,935,393,129,894,
597,109,857,803,576,230,831,104,518,825,434,993,251,067,771,457,145,963,753,
944,431,716,946,752,230,940,016,769,737,621,955,550,451,248,365,550,074,669,
599,403,648,322,015,319,246,796,271,847,990,291,854,248,615,620,286,000,964,
056,556,983,013,107,223,093,059,777,255,465,975,728,401,256,180,939,685,497,
833,790,984,779,126,610,738,360,447,298,371,356,774,711,727,038,673,919,069,
639,760,554,609,319,857,239,276,195,102,217,858,879,884,197,328,487,049,367,
776,720,241,255,525,622,614,926,281,525,055,479,423,894,283,016,794,788,900,
129,837,728,899,667,397,877,097,047,681,963,561,278,050,510,385,539,012,070,
002,187,464,066,150,129,078,992,791,522,558,845,460,869,212,818,513,460,393,
609,357,065,298,777,446,382,572,551,696,274,023,351,939,163,554,139,131,852,
905,113,807,543,759,768,201,256,632,171,491,702,973,172,597,460,294,655,480,
584,154,471,184,439,382,602,051,462,580,981,079,936,037,499,231,915,122,736,
527,386,911,061,376,432,747,949,748,920,410,454,849,695,447,334,107,784,150,
361,325,906,429,378,661,400,377,593,884,783,414,788,772,319,289,813,185,841,
758,159,580,649,306,865,698,218,347,703,043,362,294,234,940,043,063,608,059,
433,760,299,513,303,263,780,255,723,700,463,607,590,406,858,875,009,989,484,
262,004,250,595,836,869,477,007,796,502,852,542,989,814,671,380,224,113,855,
203,726,992,744,830,437,095,049,270,455,160,970,425,297,983,766,621,549,666,
756,052,863,530,895,243,039,598,724,512,005,399,094,198,150,289,291,008,192,
335,783,324,999,164,652,948,294,436,783,503,802,115,477,788,349,804,697,614,
897,333,698,321,811,959,026,641,248,060,818,735,363,116,397,698,361,146,502,
692,052,026,979,872,516,250,200,937,872,631,269,355,358,512,467,077,570,638,
364,742,868,371,024,524,782,851,673,336,538,562,385,853,092,686,952,487,681,
833,860,379,335,050,253,553,830,100,570,465,374,104,167,990,400,702,129,917,
961,216,587,708,782,177,070,594,725,530,712,964,301,396,041,610,544,765,460,
921,572,055,291,362,026,607,795,388,705,283,631,261,958,203,508,356,261,003,
231,336,760,115,525,450,387,586,487,863,789,251,348,985,251,952,037,482,536,
730,433,787,767,600,839,229,568,717,924,330,637,425,676,394,410,070,799,836,
318,144,413,993,958,573,894,679,327,857,141,120,050,515,932,339,102,603,976,
814,989,552,139,960,918,680,235,846,678,753,469,949,275,558,376,604,860,603,
453,651,015,844,630,600,497,589,312,359,071,456,554,088,125,591,896,487,711,
637,118,755,670,483,810,519,272,110,043,122,193,162,043,647,911,295,966,676,
977,444,367,895,582,004,996,535,307,921,815,201,793,125,753,947,575,287,621,
651,415,299,306,440,010,773,572,335,923,304,482,161,375,017,266,873,287,009,
716,748,493,000,302,639,813,579,124,394,683,267,088,553,100,651,912,989,525,
715,553,638,641,153,249,232,549,116,383,187,399,490,653,756,420,859,126,185,
557,846,678,656,856,672,584,407,449,434,574,932,978,802,757,689,394,307,704,
060,298,920,476,622,197,066,816,877,983,753,061,085,394,721,717,832,376,872,
124,363,620,140,221,455,312,669,755,563,882,478,546,143,280,714,027,434,353,
209,237,772,960,775,934,576,122,186,672,794,482,149,174,051,192,238,285,483,
112,166,885,388,898,725,506,265,030,050,247,821,481,874,738,435,152,847,383,
148,752,091,121,272,670,540,833,758,902,963,368,850,968,967,196,726,241,141,
641,825,552,767,132,342,193,461,255,094,119,521,351,893,035,148,732,077,038,
511,952,768,199,310,464,820,904,534,220,821,864,222,634,101,658,237,386,829,
537,886,912,189,727,947,210,317,284,129,098,901,054,628,202,079,248,766,737,
575,475,366,581,957,898,817,449,633,502,809,674,957,768,059,508,111,334,728,
465,972,181,668,630,472,878,790,806,037,231,739,741,742,884,772,214,087,000,
064,045,108,791,659,723,671,879,576,024,909,740,558,816,306,382,434,743,390,
584,096,865,605,128,312,070,186,101,196,134,493,085,399,997,408,246,898,622,
695,571,429,367,075,341,328,820,463,514,824,899,206,367,003,120,268,937,464,
380,057,778,493,727,630,482,097,695,516,667,624,323,380,247,778,927,222,965,
699,216,270,663,726,300,639,732,826,080,192,262,289,564,998,314,647,385,652,
701,943,134,828,291,333,091,592,784,799,600,412,693,992,648,304,005,249,260,
881,681,630,732,666,067,314,089,489,652,520,348,516,380,200,497,150,478,308,
109,237,693,815,599,490,474,213,018,134,750,006,186,586,733,767,440,322,798,
543,360,529,203,824,587,808,597,104,575,054,491,449,413,535,448,589,683,359,
864,147,107,269,313,448,294,308,591,345,581,821,646,666,164,811,136,138,086,
848,539,109,391,979,461,569,952,908,250,192,703,398,640,849,219,252,316,409,
412,456,305,315,077,659,008,157,454,483,528,773,691,470,809,476,450,973,237,
304,934,581,462,460,286,624,249,559,072,065,359,892,966,065,547,603,187,981,
677,542,887,770,195,627,480,391,352,947,698,940,824,429,098,598,820,674,738,
568,372,890,098,835,919,924,827,755,776,093,291,624,830,942,219,346,320,923,
951,394,777,336,262,756,158,636,083,054,659,894,692,581,400,817,741,689,964,
150,116,425,421,944,765,493,741,126,174,694,080,455,403,942,011,078,775,711,
113,189,280,925,896,118,457,171,865,453,688,671,153,383,519,187,198,204,561,
070,069,090,692,133,875,524,552,735,390,135,783,231,800,086,377,858,561,117,
658,482,737,646,294,001,553,970,095,223,520,876,627,968,741,554,009,948,490,
268,708,444,579,188,846,135,778,469,744,129,149,934,768,404,262,623,091,732,
239,298,662,391,106,000,860,257,570,501,183,444,358,704,291,422,027,012,996,
640,978,471,351,826,901,848,562,633,978,163,020,953,980,344,233,341,752,618,
101,628,593,377,447,522,380,835,040,228,093,046,227,788,670,135,095,751,702,
573,844,243,599,339,913,609,481,475,282,839,976,547,195,188,075,489,982,124,
116,262,025,323,306,180,711,386,267,291,461,879,323,553,065,972,181,063,476,
279,703,253,176,543,549,217,053,695,169,526,537,519,175,411,151,223,098,298,
864,686,895,641,652,697,775,892,306,752,934,198,490,016,178,023,346,268,054,
069,661,710,038,012,340,688,721,837,461,863,199,577,488,758,403,583,156,501,
480,274,354,098,521,278,166,062,677,888,012,371,292,976,715,034,839,130,336,
868,152,712,483,865,830,333,525,302,251,292,581,497,592,500,698,602,099,729,
059,808,753,311,066,999,717,768,137,606,713,870,096,268,257,579,122,020,340,
494,230,440,791,698,380,003,258,624,449,465,632,743,246,533,416,523,063,407,
859,036,480,961,443,459,423,614,316,110,398,525,569,149,728,473,006,548,934,
077,768,204,249,102,856,100,430,064,858,447,929,519,417,305,232,672,774,807,
236,419,764,727,707,327,131,492,865,613,530,669,277,099,295,598,388,223,224,
983,157,494,710,260,080,921,991,050,821,789,719,833,021,489,114,509,455,757,
795,494,084,006,186,760,463,212,324,024,803,627,918,361,483,254,841,039,961,
762,193,950,768,862,368,505,916,980,735,481,759,486,071,449,569,422,162,195,
579,790,644,974,116,948,885,216,991,057,570,552,987,353,476,328,169,097,182,
216,254,770,797,443,569,477,566,431,780,054,367,230,854,653,993,162,562,678,
619,464,979,908,227,399,985,035,812,831,650,961,136,720,837,690,223,013,825,
227,911,417,224,873,236,406,708,584,529,148,195,175,686,778,139,082,300,417,
598,393,676,044,048,213,140,629,658,116,456,974,169,029,986,100,496,832,738,
679,798,740,715,243,560,382,332,503,051,161,729,188,329,718,305,308,086,185,
618,955,702,214,671,848,279,040,175,114,850,523,291,634,010,891,528,537,424,
970,554,749,603,433,695,336,343,817,525,444,296,739,486,202,870,716,408,988,
024,957,894,424,540,007,031,793,829,036,547,063,100,487,544,781,741,620,236,
144,577,586,242,357,067,064,597,417,470,805,864,978,465,991,722,827,460,803,
755,574,606,451,672,233,368,722,726,221,971,420,832,848,105,743,427,979,548,
449,480,657,510,516,127,280,608,609,863,355,292,761,630,410,136,459,336,184,
278,653,341,983,486,168,373,312,659,517,821,343,026,440,538,354,716,240,918,
667,774,045,252,496,127,717,672,721,465,796,495,288,274,314,998,383,858,994,
661,042,373,133,719,704,133,563,902,318,843,761,589,987,362,578,522,516,410,
998,537,183,243,669,432,431,001,544,922,999,998,556,526,326,783,945,874,062,
247,309,995,729,004,277,474,298,076,815,123,562,218,510,098,954,101,237,239,
244,074,276,579,814,876,136,284,366,721,903,731,159,550,201,293,934,792,195,
157,961,038,651,344,544,304,400,527,496,803,164,935,812,266,577,569,597,911,
717,419,309,361,668,776,108,886,467,306,639,757,268,392,164,992,790,813,102,
670,352,949,918,949,304,260,896,656,343,312,230,491,503,731,036,688,435,847,
557,271,662,027,945,992,919,459,060,482,391,737,925,734,945,113,689,239,835,
160,039,127,623,712,979,241,535,998,548,312,975,507,762,916,391,192,663,055,
964,950,979,944,858,210,442,593,786,689,699,579,940,755,066,043,142,683,661,
190,597,453,743,612,512,342,682,185,287,122,136,438,893,030,245,123,760,100,
307,117,347,378,190,807,746,960,799,497,365,047,326,955,038,397,217,395,120,
307,194,001,994,357,672,441,534,691,521,965,758,288,873,551,325,326,587,560,
931,161,927,681,322,864,958,327,443,736,718,005,218,903,672,795,229,421,265,
097,609,137,863,610,772,444,615,203,207,312,230,127,724,115,771,825,544,480,
845,781,656,352,959,377,818,968,519,772,323,850,484,703,386,991,856,165,149,
273,827,164,840,268,106,310,569,615,194,343,991,999,248,826,068,517,102,066,
383,725,266,595,815,535,403,241,867,354,102,081,521,581,860,413,523,063,089,
734,195,428,793,903,911,349,240,816,314,275,171,654,657,986,287,050,453,904,
383,922,825,330,445,233,897,269,545,022,267,352,394,902,798,357,671,425,693,
075,722,168,386,824,106,948,022,617,213,049,615,650,500,344,244,610,059,139,
919,649,737,392,723,812,637,389,085,736,367,059,191,323,400,314,684,344,068,
639,353,141,899,249,110,444,801,092,773,893,914,647,738,632,720,627,640,530,
446,662,644,000,469,935,890,262,659,132,546,772,602,093,677,867,687,686,173,
346,874,663,407,782,545,669,737,123,071,081,565,332,382,603,778,023,089,097,
028,455,205,404,677,127,437,683,837,714,692,181,205,022,336,070,632,219,479,
489,923,136,111,386,768,194,736,817,333,745,351,664,041,191,460,288,686,596,
210,808,263,024,472,320,349,122,837,625,485,230,004,311,482,492,439,974,582,
041,618,815,284,336,130,865,756,862,745,429,175,376,904,589,210,278,759,361,
594,434,416,420,419,520,196,546,860,245,540,841,294,619,036,142,861,483,163,
642,173,708,455,741,038,709,250,272,679,892,374,959,639,009,833,227,283,680,
871,316,627,848,416,928,749,923,858,411,170,533,498,331,195,275,802,457,485,
651,242,287,683,786,836,451,288,027,525,408,711,619,273,405,985,083,643,536,
074,616,630,362,792,350,493,820,996,141,834,224,961,975,697,053,967,005,623,
927,393,597,062,156,235,981,076,272,346,295,685,593,988,224,294,701,021,411,
241,515,606,905,114,677,346,434,803,645,377,846,805,781,386,129,915,424,499,
287,201,490,282,178,308,565,795,406,267,801,337,700,125,393,642,161,767,060,
486,745,342,150,686,291,769,434,614,989,162,634,575,822,625,370,875,453,943,
932,546,781,595,539,321,099,454,120,402,328,580,854,009,082,028,670,597,585,
326,450,589,662,970,893,163,913,996,530,799,114,933,839,385,875,280,620,964,
321,723,528,404,485,598,843,449,542,550,076,846,463,905,082,643,779,751,205,
405,631,874,827,294,333,086,255,050,230,187,553,115,107,305,206,734,822,813,
771,264,802,988,021,706,890,600,875,245,295,498,250,723,806,463,002,424,853,
028,967,212,593,010,955,976,931,764,712,588,130,942,037,533,090,893,151,934,
484,651,466,177,163,488,178,430,341,818,807,146,368,183,954,872,406,292,341,
982,475,529,050,706,537,343,299,214,404,631,083,901,940,425,302,773,087,152,
340,013,211,793,030,426,082,116,627,158,227,327,294,064,245,710,026,243,534,
069,267,042,292,435,842,533,582,562,717,008,940,741,452,155,246,544,700,088,
015,034,810,330,748,995,168,689,197,454,074,767,679,550,169,734,939,960,951,
726,413,434,324,616,069,360,063,890,886,821,529,489,062,086,576,262,973,857,
888,242,224,173,969,792,875,640,997,922,837,462,725,541,366,313,223,492,689,
840,908,340,586,376,049,993,795,537,270,908,797,794,843,953,645,275,734,727,
548,410,383,924,261,964,641,338,326,988,021,626,374,510,525,584,047,158,287,
636,149,682,877,350,551,644,090,692,824,162,515,625,298,157,160,738,849,494,
235,384,679,165,074,230,837,460,006,441,307,614,670,692,857,485,170,329,234,
419,683,411,361,975,740,341,994,485,664,967,819,991,277,834,035,618,052,501,
589,577,091,420,810,887,614,579,981,926,339,131,472,710,577,800,349,646,819,
153,386,255,585,582,404,095,307,695,199,847,120,330,869,787,919,776,229,091,
236,863,020,607,166,252,343,465,589,081,229,913,952,948,443,822,342,265,349,
692,047,731,675,442,208,862,258,746,643,535,787,685,656,705,380,706,097,244,
823,361,417,734,796,218,874,985,509,599,731,712,259,012,951,838,842,093,277,
156,023,142,639,793,734,695,581,294,697,734,652,634,000,260,637,341,042,925,
618,399,677,406,964,256,116,210,695,537,135,309,760,362,496,712,777,829,343,
947,826,142,631,398,073,487,370,471,089,175,047,770,043,860,203,285,340,844,
958,101,063,137,624,983,393,982,082,434,148,757,782,229,783,738,764,700,067,
922,857,620,031,665,972,490,309,252,109,173,069,836,861,389,260,985,319,394,
186,694,078,289,188,441,188,843,015,992,826,923,689,747,670,558,941,523,215,
395,712,956,618,104,119,878,854,543,637,524,117,866,647,772,009,672,344,514,
235,714,737,586,127,550,105,163,990,976,927,718,873,377,395,939,964,241,939,
525,431,000,944,444,891,077,641,317,497,040,311,315,119,159,809,974,096,420,
553,256,784,112,332,978,085,909,868,435,858,190,998,485,143,534,579,175,279,
623,799,089,681,931,995,101,172,187,924,681,510,149,292,472,939,476,498,102,
382,703,263,524,070,152,133,980,746,593,865,470,334,720,544,895,920,962,568,
192,213,310,234,768,337,917,499,096,245,789,963,989,333,655,525,769,931,715,
155,906,626,849,849,786,509,765,814,847,544,906,004,886,756,711,390,059,390,
490,415,117,306,375,389,378,756,718,323,358,861,094,271,772,422,482,493,629,
670,426,362,851,938,365,183,470,281,991,098,537,408,002,513,814,962,553,738,
304,696,931,331,857,464,173,511,142,968,250,233,207,574,556,410,024,515,113,
798,872,629,005,707,631,672,354,592,883,717,128,782,143,754,779,904,152,365,
954,850,661,763,663,988,478,799,182,646,114,930,015,769,652,614,214,228,198,
962,508,040,167,734,555,376,915,458,567,642,914,601,300,942,658,666,574,744,
511,880,076,130,929,026,754,584,281,096,098,075,879,563,108,019,466,532,080,
156,193,094,795,455,992,315,629,832,514,595,427,936,755,080,806,377,292,197,
905,756,865,146,004,608,724,818,311,895,924,656,233,313,477,238,081,659,419,
667,784,638,604,530,171,562,618,585,254,469,692,015,777,109,039,611,961,544,
161,399,228,591,890,721,753,597,030,050,984,636,628,061,603,167,465,719,323,
302,326,041,019,216,010,678,511,633,730,853,336,852,941,857,041,936,294,405,
225,296,978,994,140,488,584,621,651,541,852,871,841,805,749,274,359,213,467,
246,464,726,715,037,135,596,868,465,004,639,020,784,510,456,561,248,048,623,
856,495,766,537,211,062,029,051,994,118,508,841,972,030,088,513,452,108,661,
016,452,937,978,093,620,929,305,453,385,944,105,502,391,195,473,419,036,444,
123,821,634,600,025,350,281,372,500,850,348,831,554,469,091,831,863,730,019,
367,855,243,567,532,815,096,328,205,897,083,658,653,330,637,386,412,313,967,
841,518,895,220,904,782,522,446,429,668,380,699,517,348,200,599,812,974,082,
031,118,138,939,628,566,062,108,934,595,746,658,841,030,023,747,578,649,940,
960,870,596,711,983,964,860,046,466,259,285,453,952,316,661,271,791,324,413,
389,818,181,808,855,754,574,416,419,893,770,956,765,527,940,258,297,565,600,
956,547,071,973,971,328,817,640,464,993,540,384,495,545,962,185,998,926,655,
263,251,739,476,340,465,952,032,819,749,755,893,455,213,469,473,761,241,643,
527,912,030,278,375,117,659,704,857,017,356,069,272,576,930,896,846,197,340,
292,987,060,495,934,131,024,829,070,743,625,520,503,497,209,375,252,488,721,
923,611,704,051,272,832,936,668,150,390,739,176,998,314,501,920,686,431,477,
295,224,882,038,357,439,517,291,924,255,486,428,476,625,554,061,085,348,157,
265,986,909,956,836,608,864,969,554,299,943,306,434,125,827,066,605,745,303,
174,891,883,925,426,863,045,443,379,082,927,642,346,857,535,535,638,855,965,
557,669,160,502,130,891,083,334,088,652,009,349,167,931,719,800,350,099,243,
209,986,123,021,092,868,827,899,671,035,527,247,162,404,304,518,177,908,928,
383,929,694,444,999,307,651,878,467,685,083,099,912,776,611,291,583,640,348,
802,880,496,388,005,608,482,350,118,645,355,354,117,937,030,644,634,335,975,
638,965,466,622,265,418,895,516,507,242,826,045,051,279,937,901,896,422,595,
554,488,755,629,504,260,529,460,745,256,928,407,675,652,877,921,721,410,975,
794,357,863,687,014,791,835,464,735,261,557,655,580,219,582,380,330,334,237,
732,952,217,236,764,082,962,420,802,029,361,354,579,306,535,034,127,035,432,
960,888,943,792,047,374,785,992,932,537,614,730,478,173,411,872,950,535,060,
437,332,134,911,596,962,219,807,558,231,885,166,302,808,099,750,992,706,953,
605,627,150,590,141,205,776,827,163,720,639,182,711,831,875,804,447,664,235,
417,544,250,152,041,852,698,100,129,445,660,697,457,504,892,836,441,530,551,
588,716,199,233,510,913,822,280,147,059,227,333,502,611,674,764,224,910,703,
401,779,933,118,921,626,154,237,200,926,407,834,630,036,982,088,822,116,471,
801,832,852,987,174,902,674,931,990,722,458,900,645,830,805,804,209,642,203,
270,248,984,025,855,147,895,029,352,180,046,577,767,887,687,455,496,257,495,
311,328,554,385,382,310,500,585,593,557,915,285,083,796,313,169,801,537,507,
309,833,977,858,839,552,905,395,211,440,915,414,603,994,456,453,006,404,841,
964,791,736,504,656,612,951,544,362,150,673,784,978,031,263,657,737,202,683,
713,290,080,515,610,471,124,410,331,241,163,601,467,324,446,803,495,133,047,
119,270,447,497,948,048,596,699,526,327,808,531,546,733,182,706,123,958,102,
807,673,450,679,145,990,214,602,959,562,800,561,552,358,509,685,845,493,984,
451,788,627,892,450,524,537,704,276,386,632,596,181,565,196,112,117,009,955,
923,707,404,534,439,949,174,957,769,718,529,637,663,071,510,877,292,833,742,
007,913,323,660,200,675,690,338,742,138,011,317,251,929,347,937,031,610,906,
030,048,039,559,436,825,572,800,253,633,113,669,233,531,208,284,185,157,455,
307,810,115,766,534,043,195,539,766,076,160,021,632,048,426,902,755,794,555,
043,155,617,713,846,788,800,927,238,655,157,356,610,752,727,164,525,628,685,
752,378,740,281,835,362,730,429,989,610,432,865,077,897,377,728,494,549,736,
082,164,023,785,758,318,146,895,110,833,216,257,081,360,926,458,370,641,762,
996,981,121,557,900,440,468,906,716,231,452,361,865,822,976,859,919,775,499,
678,859,529,966,643,666,691,597,768,734,355,751,176,301,215,246,786,639,625,
551,368,615,593,999,159,709,832,774,150,037,742,178,491,849,372,733,317,886,
764,458,685,519,166,839,904,292,809,791,100,439,276,993,761,538,446,076,034,
836,338,099,662,556,271,006,894,276,404,736,467,107,747,569,565,798,402,915,
018,582,648,333,559,282,346,929,990,606,171,949,937,667,379,805,774,096,426,
088,876,451,807,819,173,374,232,417,991,973,266,447,128,458,558,013,080,949,
796,906,540,934,034,731,169,595,735,047,457,932,751,104,706,903,535,081,099,
939,837,730,723,812,645,848,907,256,948,329,462,562,387,828,702,256,976,148,
787,233,521,460,136,691,332,655,004,912,611,843,536,345,838,774,584,317,581,
857,953,966,630,923,655,346,700,372,789,093,965,949,851,110,248,549,806,797,
554,054,586,184,267,160,347,991,371,620,503,678,556,784,807,467,883,904,754,
149,886,563,762,247,484,825,171,251,836,954,068,406,432,005,831,311,375,188,
284,551,374,539,560,110,011,920,675,952,307,592,921,734,134,753,844,052,305,
797,381,183,997,788,635,977,439,194,864,258,975,919,029,127,674,903,849,434,
928,765,577,756,671,726,380,065,253,959,450,051,135,217,844,974,500,805,022,
065,261,473,578,409,044,200,709,887,179,954,017,269,793,344,913,305,514,406,
515,509,279,409,045,734,511,905,104,551,863,170,941,557,793,596,446,341,589,
460,445,377,862,894,095,286,795,190,852,352,164,544,505,884,537,505,786,748,
501,314,068,340,697,039,718,462,808,633,182,275,647,522,716,244,482,765,090,
480,494,248,942,378,254,684,573,414,434,776,474,669,135,936,539,940,044,277,
308,676,030,967,242,546,795,340,050,456,288,876,436,398,859,909,262,255,046,
842,242,410,472,610,642,522,736,381,807,174,631,155,082,719,404,866,837,082,
798,509,625,338,821,325,569,047,282,172,674,904,578,639,685,213,116,878,343,
370,121,250,138,677,187,372,871,580,892,367,633,365,939,230,191,899,973,530,
734,209,585,491,553,872,480,237,289,189,659,597,027,023,034,669,770,732,299,
615,859,561,956,533,740,438,939,885,930,898,754,226,594,604,253,238,636,782,
527,973,449,723,092,002,231,096,731,796,998,471,629,430,303,402,384,755,964,
815,397,654,908,268,240,786,150,302,170,621,130,424,141,819,476,645,433,766,
552,224,964,835,693,184,577,955,263,629,858,201,197,770,842,803,475,868,258,
511,888,181,740,769,524,396,827,814,329,330,808,113,510,235,664,451,806,443,
841,409,088,317,707,358,536,937,576,914,091,234,932,638,987,477,622,459,980,
809,147,871,971,723,454,432,716,810,865,518,329,720,045,278,907,544,998,976,
539,501,440,178,363,571,271,464,836,392,267,269,350,651,452,509,197,279,855,
078,134,026,965,134,426,040,531,426,757,344,004,205,914,329,652,284,350,380,
575,511,109,481,188,577,791,772,661,065,115,764,844,416,083,287,559,019,425,
512,189,131,451,610,491,216,396,870,258,128,608,984,924,417,495,908,132,455,
601,605,594,587,079,551,704,034,535,818,998,974,381,813,817,920,774,244,172,
022,208,810,433,217,573,769,447,900,795,276,985,892,703,529,009,369,664,012,
639,953,139,623,856,616,343,722,570,412,100,788,494,046,245,957,509,143,164,
639,524,564,445,350,277,684,583,296,551,669,861,395,937,923,360,276,878,807,
800,015,900,758,568,889,199,691,943,773,573,270,245,273,969,319,601,639,031,
241,913,277,280,678,309,563,739,711,113,351,468,408,745,809,198,528,826,287,
226,443,674,763,299,566,076,341,305,526,567,551,353,316,831,284,385,478,609,
225,835,283,082,926,697,756,247,831,381,646,740,406,494,785,142,576,084,301,
267,622,102,423,750,744,740,955,271,426,732,967,952,101,471,029,357,592,019,
610,500,702,975,994,174,828,135,411,242,610,571,788,401,286,574,110,434,061,
480,779,740,685,891,463,162,674,654,469,195,939,524,803,748,276,321,617,845,
400,138,729,870,054,817,950,323,297,701,786,545,326,981,003,272,583,340,868,
010,309,511,126,710,792,539,052,603,606,801,749,559,589,320,824,689,700,688,
976,561,196,055,373,721,630,828,214,440,961,588,625,381,855,285,306,601,198,
969,146,188,388,592,174,007,867,629,999,474,359,243,199,687,217,189,929,608,
350,473,754,014,519,809,762,321,482,782,771,845,899,189,812,709,386,183,780,
538,657,382,918,503,935,065,646,707,346,522,264,109,233,894,898,308,024,046,
183,703,012,117,302,512,930,603,692,098,707,382,297,673,136,000,198,914,507,
197,615,768,651,653,778,046,991,808,137,039,588,799,384,925,069,670,847,925,
481,907,557,541,238,060,418,889,834,110,104,436,503,272,219,817,542,291,724,
225,880,822,653,600,411,417,554,448,733,084,609,773,231,331,732,886,734,111,
048,565,918,144,385,877,944,945,200,056,638,325,188,564,708,646,730,390,376,
603,437,065,039,453,605,716,428,699,270,854,657,563,782,486,006,330,752,085,
694,932,289,901,875,259,108,438,874,821,682,434,756,045,004,575,195,953,334,
174,899,412,986,899,523,982,410,198,209,972,158,763,081,323,656,818,268,650,
549,921,088,661,113,550,448,371,523,497,557,785,868,663,840,335,639,392,237,
246,319,858,243,044,675,121,373,569,668,942,608,274,853,580,829,468,322,619,
332,353,285,291,660,281,711,150,286,307,789,473,641,953,428,876,373,797,733,
223,501,004,525,367,388,276,438,194,367,663,929,657,565,045,568,458,630,730,
808,207,452,312,213,100,612,338,154,968,514,298,103,166,635,894,139,717,802,
590,266,158,097,470,505,238,350,786,846,614,846,827,187,297,515,532,866,413,
357,864,682,423,441,876,648,682,831,106,295,485,959,716,688,941,234,814,487,
691,449,363,155,135,306,110,912,952,566,430,086,944,757,627,489,860,949,540,
634,071,878,147,031,903,009,431,296,731,993,613,745,056,361,297,799,855,885,
220,012,995,656,096,147,659,072,552,431,560,054,219,317,927,552,238,984,957,
011,306,287,591,932,312,796,524,617,672,281,671,108,240,845,411,148,772,922,
746,698,189,102,554,847,417,967,196,749,761,930,875,374,957,422,134,882,915,
297,519,979,457,544,704,410,082,629,497,830,450,390,057,818,270,695,065,672,
777,258,309,400,420,095,950,216,546,263,373,013,470,641,182,205,149,560,277,
290,606,340,581,388,473,790,914,860,209,373,757,733,373,957,255,079,361,277,
075,542,482,646,374,725,635,962,709,027,002,851,586,082,921,017,072,574,920,
753,396,052,715,850,677,800,234,647,548,353,139,272,389,434,722,955,925,694,
433,118,984,117,213,488,900,948,397,609,037,505,239,450,263,600,282,423,617,
446,899,735,445,660,857,810,450,653,833,034,931,240,710,063,070,201,968,500,
764,806,036,293,317,975,294,357,228,530,934,957,851,670,046,097,034,846,736,
762,714,431,264,919,655,047,824,782,016,731,525,345,676,952,779,493,145,191,
637,747,901,454,537,932,344,834,545,706,635,301,138,946,833,048,638,200,944,
910,679,096,530,482,077,728,538,857,168,517,639,835,855,657,112,182,272,659,
515,312,953,681,796,811,210,695,424,847,500,759,484,070,647,637,018,724,303,
290,307,047,105,011,333,098,071,507,833,397,372,366,288,461,745,607,163,861,
469,833,718,925,663,741,935,697,078,442,640,608,061,197,704,207,521,272,190,
098,606,302,158,719,508,578,626,037,368,909,623,403,103,751,798,604,239,805,
825,578,365,866,895,816,971,316,109,863,855,843,483,963,842,142,178,522,846,
919,927,552,456,140,758,724,120,108,878,804,535,827,450,027,248,886,017,521,
466,903,562,397,441,909,343,155,281,980,472,064,145,646,548,682,416,256,123,
970,039,446,508,601,693,457,501,577,143,839,784,988,443,654,654,930,529,977,
114,878,254,159,313,482,999,108,844,173,430,310,006,951,138,828,928,173,328,
641,958,077,830,470,709,409,619,301,059,583,393,115,900,367,630,955,886,602,
656,826,901,093,555,616,861,196,245,993,196,808,844,560,517,495,149,785,302,
020,882,516,378,734,044,630,053,907,345,250,504,868,502,314,245,795,489,543,
805,317,725,743,339,671,408,961,278,306,785,380,246,422,978,478,080,349,372,
063,764,778,005,852,519,766,027,533,638,534,584,306,747,838,826,457,234,150,
910,115,524,282,596,578,184,018,972,815,553,332,642,688,735,958,135,510,977,
334,120,033,585,445,471,251,224,395,108,290,508,330,786,252,984,246,806,838,
205,448,009,058,121,345,933,751,006,630,656,870,367,362,039,562,109,223,230,
888,219,875,089,317,338,356,164,906,971,453,720,107,969,515,669,280,271,419,
444,392,510,535,518,391,618,304,293,510,373,613,721,081,014,064,973,147,581,
788,886,831,655,883,300,307,269,823,225,618,768,041,658,766,084,074,168,794,
032,637,859,866,784,436,184,640,791,307,207,166,511,338,922,978,388,579,343,
895,001,417,964,062,669,284,031,044,275,131,377,269,127,382,939,535,150,189,
604,149,044,553,244,108,561,656,244,405,911,875,738,234,011,384,738,531,278,
019,852,650,423,217,047,174,291,861,501,811,444,191,529,649,025,338,488,372,
042,180,398,955,503,022,605,752,613,894,307,806,217,887,564,624,735,311,116,
304,194,761,537,044,176,694,008,639,760,240,422,613,676,129,205,554,739,471,
994,996,593,854,757,124,292,971,558,266,546,347,472,679,310,449,723,922,488,
714,490,699,228,480,117,833,180,688,297,093,039,980,248,526,093,648,455,013,
642,612,505,048,914,145,046,961,025,493,985,890,883,307,788,210,839,337,377,
797,716,190,249,634,772,325,804,360,947,896,869,196,875,896,312,900,691,396,
713,726,690,472,278,568,589,837,510,259,751,704,514,577,345,497,145,947,540,
255,200,770,158,697,683,458,233,329,780,445,012,853,638,244,015,506,698,608,
832,272,453,024,979,211,319,754,924,473,951,575,882,506,372,911,212,051,597,
177,414,423,115,801,210,396,025,673,167,119,768,730,198,378,638,997,874,558,
453,379,288,408,036,857,767,845,103,371,478,173,183,755,294,748,542,546,621,
956,664,436,703,606,088,428,356,955,170,381,533,745,484,241,055,451,347,076,
416,010,025,439,519,354,364,658,454,774,793,108,350,311,646,479,985,124,510,
562,769,912,250,906,047,594,576,786,298,420,914,281,903,866,921,497,293,327,
177,997,280,347,170,792,760,121,122,688,563,447,115,628,870,171,310,163,474,
396,029,304,420,554,850,287,593,221,840,238,658,653,073,834,429,153,930,103,
540,770,134,149,407,460,978,881,783,708,446,800,039,211,035,768,287,816,089,
794,699,774,376,620,171,035,353,845,762,891,529,025,152,106,000,705,205,683,
448,017,785,675,961,683,523,853,412,651,185,558,083,472,944,065,006,988,442,
002,161,644,513,760,676,368,854,261,462,761,460,880,555,010,625,033,870,707,
398,091,542,849,477,680,736,932,575,928,447,468,010,558,545,323,976,916,643,
820,516,676,181,758,044,586,159,294,508,601,287,798,091,921,820,433,169,142,
291,429,802,531,825,012,381,102,853,078,278,089,784,691,601,245,484,161,093,
477,910,607,906,473,464,768,179,258,514,147,007,023,863,776,962,810,640,604,
664,820,804,276,519,243,826,935,029,550,293,172,348,513,758,151,810,298,820,
153,816,277,010,256,941,591,726,839,558,132,068,301,632,308,966,851,201,351,
493,204,070,104,780,893,021,112,351,855,643,064,530,504,270,752,779,069,444,
983,928,102,292,273,346,825,970,280,047,973,477,659,440,025,236,959,525,083,
665,745,180,121,060,367,612,234,547,586,529,478,925,742,837,218,969,889,795,
888,059,458,786,087,763,426,127,799,587,590,447,135,025,529,493,114,948,478,
161,053,092,273,476,741,644,735,565,685,727,901,428,355,182,598,982,448,888,
152,513,862,251,124,935,129,458,532,253,989,195,525,160,555,562,712,391,527,
559,157,477,012,964,590,994,040,085,363,385,204,843,471,433,208,687,072,583,
945,580,723,806,110,143,734,027,787,028,202,538,602,908,081,857,064,059,606,
298,425,946,901,346,289,230,467,103,697,524,451,641,419,796,953,510,083,786,
847,212,179,896,877,421,680,631,174,750,170,161,959,771,010,847,993,151,638,
459,338,110,387,046,404,211,601,245,954,889,230,127,582,643,420,858,943,817,
761,669,262,676,467,288,076,421,386,704,334,451,212,865,685,272,597,868,268,
104,772,413,231,743,785,747,656,512,427,301,068,943,466,669,196,868,880,804,
334,395,546,864,857,672,830,218,655,614,443,756,394,763,413,047,876,166,690,
198,354,194,140,026,946,842,920,904,172,900,994,982,290,835,049,695,876,273,
630,144,772,257,493,838,815,151,484,317,018,122,449,859,281,234,304,245,895,
061,831,297,895,779,784,791,881,242,146,973,733,319,523,494,666,737,994,312,
477,198,835,622,815,933,271,493,492,778,775,775,185,044,446,389,192,987,036,
700,333,618,844,235,631,314,715,440,520,855,844,481,493,988,572,944,238,764,
896,978,058,695,230,611,716,013,242,436,844,392,030,596,860,293,605,130,474,
697,509,217,112,793,806,146,391,729,755,164,624,513,752,380,155,655,857,619,
262,707,999,959,051,791,514,337,709,952,884,756,976,525,648,834,611,867,910,
657,468,564,706,146,214,015,294,657,148,792,962,862,653,923,957,782,093,019,
941,992,758,066,119,992,884,862,542,331,296,177,558,587,450,143,255,788,485,
300,390,865,719,828,297,755,349,082,934,813,242,709,773,417,539,254,220,676,
815,678,926,371,810,435,417,489,796,930,696,395,747,235,903,176,263,670,817,
733,953,575,066,977,194,787,109,852,611,540,197,031,743,301,614,334,204,394,
188,653,157,583,383,154,145,387,440,570,903,256,922,723,182,618,006,546,871,
454,359,672,265,104,740,632,350,878,302,989,362,238,259,539,858,712,591,475,
537,048,182,396,307,858,378,056,988,862,114,598,274,172,570,455,105,674,334,
572,501,399,166,379,907,241,744,820,763,074,557,789,671,007,326,005,110,142,
845,197,755,554,687,398,826,954,018,776,519,897,800,260,532,811,854,600,514,
041,061,833,595,235,615,609,869,275,092,142,139,342,344,386,614,209,086,634,
309,206,847,416,448,716,808,967,086,583,958,497,330,546,122,256,880,864,028,
126,409,148,995,279,270,970,681,897,352,333,303,068,860,837,983,211,418,970,
499,698,865,451,697,761,722,075,987,677,521,491,364,820,759,568,244,134,836,
188,514,601,461,263,750,347,084,356,148,054,259,415,681,500,082,048,048,947,
452,477,019,362,542,173,389,748,232,767,530,623,801,234,682,273,483,009,605,
491,974,904,970,685,090,743,323,367,785,189,727,433,825,939,163,149,616,888,
834,856,104,146,070,962,582,705,037,731,643,079,725,408,239,830,482,021,654,
028,519,001,300,269,871,551,447,900,848,130,371,043,820,840,343,027,519,602,
698,069,276,192,198,677,012,068,043,607,011,738,587,830,289,215,793,115,253,
606,939,310,422,040,801,201,743,716,717,286,680,626,856,574,962,783,574,805,
249,048,596,050,991,756,234,797,262,891,818,040,050,224,955,913,584,408,571,
358,417,054,424,844,964,794,060,642,092,178,574,656,570,993,029,421,722,516,
614,513,524,082,037,288,387,968,394,908,928,186,456,399,001,435,017,334,223,
601,267,250,145,158,758,006,397,741,988,540,151,907,370,222,613,149,762,293,
229,588,638,325,898,607,547,722,703,337,019,734,568,459,976,067,405,859,290,
560,396,475,313,208,925,834,733,529,277,703,272,155,225,247,441,661,448,151,
575,189,485,913,667,697,086,202,263,015,122,920,480,676,526,839,701,345,988,
102,345,468,662,062,003,789,699,089,592,578,397,411,246,057,744,690,435,019,
806,686,723,741,640,657,218,589,802,897,973,669,652,505,089,098,992,163,868,
241,888,040,686,069,135,401,785,495,069,997,237,671,675,498,940,148,979,946,
987,878,871,919,746,234,942,564,802,380,200,756,567,928,401,399,623,096,430,
147,207,189,353,376,910,925,061,280,714,011,112,281,100,429,255,727,796,989,
894,344,885,889,239,256,094,016,495,451,171,584,547,798,975,068,373,809,985,
232,158,136,841,617,292,944,659,560,095,620,850,033,798,828,322,100,931,884,
715,151,699,213,841,568,801,367,594,702,921,355,915,145,369,876,819,457,374,
545,046,968,413,502,670,580,564,800,842,098,176,084,105,857,550,321,887,114,
688,029,563,798,536,680,118,597,987,694,785,763,695,406,371,968,270,683,368,
567,782,577,562,567,750,307,050,140,060,861,751,590,169,580,992,933,887,460,
827,462,952,694,464,110,143,793,217,470,351,562,469,940,810,938,141,490,051,
745,561,657,899,812,473,682,334,583,622,305,163,227,647,801,649,738,843,297,
969,123,048,641,466,591,991,859,276,264,575,196,902,421,827,848,701,770,745,
993,318,931,617,481,002,615,833,313,272,945,449,892,407,528,427,029,740,237,
985,831,752,370,707,934,281,259,223,675,702,475,144,511,093,199,959,636,690,
894,737,991,770,468,157,117,013,278,270,382,877,139,529,224,229,665,160,338,
751,374,749,917,071,857,879,891,796,754,525,170,386,218,372,936,978,945,012,
226,420,772,631,729,338,721,083,721,881,841,415,211,062,324,118,021,730,624,
739,218,078,331,148,726,379,463,937,949,404,499,834,873,569,869,936,311,934,
889,367,463,916,292,873,533,674,550,967,740,129,878,642,217,121,171,957,452,
581,972,204,786,336,444,924,515,144,032,532,338,352,838,709,394,811,402,028,
885,514,927,100,458,915,021,640,009,357,466,843,069,780,708,968,315,477,103,
846,971,245,856,399,448,493,547,146,269,794,552,941,861,613,598,861,990,121,
386,975,970,563,141,116,887,027,058,705,752,670,979,469,743,609,941,753,475,
259,560,950,183,239,010,964,344,487,717,919,498,600,831,465,409,924,781,177,
084,424,116,273,606,285,134,525,315,816,999,975,453,847,262,259,362,657,596,
029,995,210,742,380,408,962,566,304,484,567,327,751,616,080,372,497,598,773,
482,078,261,377,337,077,349,677,870,208,655,935,922,154,199,829,680,054,817,
567,972,865,989,764,840,389,841,973,912,691,507,950,169,196,855,022,268,823,
910,223,840,027,259,716,925,265,983,103,302,902,711,629,662,670,181,443,752,
149,923,016,624,035,344,499,401,277,497,798,512,088,187,514,860,377,612,249,
316,631,576,322,034,099,316,235,586,577,339,082,299,968,835,216,780,164,239,
751,983,035,376,332,463,688,811,088,128,469,709,597,242,659,505,956,383,358,
680,786,477,900,935,576,277,637,346,714,651,196,838,820,779,352,561,809,135,
088,235,520,211,943,937,220,674,972,047,463,942,379,311,636,004,701,235,929,
377,790,579,094,764,055,526,820,656,956,230,572,657,341,927,360,282,251,364,
818,053,570,875,799,392,081,016,101,577,435,520,963,583,480,393,954,193,871,
731,081,928,993,594,310,004,555,353,157,337,834,331,890,102,562,175,924,364,
202,394,285,316,688,672,840,530,887,091,738,548,586,777,080,152,757,233,427,
314,198,847,166,432,884,392,236,360,894,692,191,354,937,037,467,828,714,250,
427,051,416,057,795,694,483,008,000,661,696,130,432,549,379,449,788,826,808,
605,752,728,906,116,176,173,022,526,668,338,880,299,324,535,566,405,102,165,
014,685,817,015,214,280,572,066,758,356,281,104,624,032,380,495,543,523,991,
069,202,010,397,459,680,851,077,914,875,130,588,005,455,887,688,932,750,114,
029,486,033,494,809,664,304,489,146,120,942,024,718,202,573,892,388,910,073,
766,588,870,360,034,523,885,625,006,702,243,906,387,805,377,477,459,102,669,
662,898,208,981,326,144,991,022,737,576,138,926,900,184,325,975,092,872,208,
148,387,293,283,622,568,884,243,272,661,824,655,622,137,468,922,138,053,096,
020,630,892,743,702,009,023,215,932,963,181,893,941,118,816,806,177,871,870,
459,905,107,346,790,936,384,426,032,396,988,699,628,464,378,225,348,365,478,
519,638,849,063,984,437,908,180,110,721,361,460,133,271,838,828,556,057,247,
893,925,793,086,077,301,095,711,853,556,268,311,783,656,955,912,135,433,904,
317,046,852,603,699,419,193,361,181,462,744,460,665,545,874,109,899,321,938,
320,633,670,181,261,424,937,826,420,630,199,655,516,778,619,863,519,032,585,
193,609,418,480,522,315,541,521,522,155,433,855,932,895,583,200,449,794,259,
514,511,772,927,956,853,569,926,360,480,279,537,090,574,497,860,682,241,368,
598,594,288,922,512,650,549,066,732,755,156,090,590,612,033,455,746,909,252,
405,624,375,648,980,602,178,756,711,336,342,921,792,149,501,594,888,038,615,
709,408,306,384,203,204,624,347,203,884,237,857,438,540,107,250,931,605,448,
951,186,017,193,189,492,165,030,952,372,186,966,235,215,247,914,612,986,020,
121,525,221,915,359,453,957,884,928,899,163,602,131,939,427,033,073,650,748,
223,817,044,011,630,777,382,985,368,197,884,252,913,411,869,849,493,188,810,
847,614,324,726,335,594,757,250,747,510,587,535,116,930,609,858,013,599,018,
604,419,135,050,200,951,297,114,668,799,400,017,114,145,722,629,586,916,754,
645,299,273,789,392,927,518,729,383,490,975,267,081,845,819,562,258,331,495,
941,546,150,843,485,372,843,360,870,264,381,418,700,555,804,426,509,933,223,
858,928,754,803,509,972,505,282,006,321,725,773,035,145,527,844,703,159,573,
596,510,317,318,910,071,529,007,590,331,932,961,482,239,622,857,808,146,980,
433,192,428,273,896,494,682,262,777,709,923,581,424,677,874,174,799,392,184,
624,216,896,071,053,452,390,792,344,283,259,365,654,202,580,878,654,567,063,
200,161,647,986,662,805,520,897,884,079,327,598,703,038,229,163,210,304,940,
508,352,373,292,934,013,082,396,624,765,533,356,084,370,204,850,041,326,874,
869,544,949,453,424,025,944,773,002,588,182,277,711,362,510,824,484,099,499,
466,522,443,503,621,380,915,718,272,248,608,971,954,519,009,764,797,714,256,
209,881,743,401,554,421,793,571,304,201,580,437,883,478,433,335,232,199,067,
737,316,558,834,487,819,538,090,531,595,223,338,287,481,008,923,397,235,636,
881,345,617,090,702,721,813,803,287,487,802,325,306,734,335,176,944,987,348,
541,839,583,951,207,681,118,138,818,920,802,249,464,015,873,737,258,252,074,
952,324,547,058,803,922,618,438,002,490,887,591,427,820,712,184,051,981,921,
088,334,834,627,252,452,423,729,557,005,268,233,579,614,853,876,346,798,160,
356,683,255,535,790,852,765,932,265,463,033,460,275,484,970,424,806,885,403,
226,245,797,604,547,175,600,115,349,014,391,346,471,566,345,095,157,892,646,
776,260,473,880,530,444,187,920,298,462,422,071,824,614,977,836,122,901,838,
864,973,062,408,704,011,681,431,400,245,863,789,280,665,151,080,915,239,290,
269,755,077,272,923,703,251,925,254,697,075,938,863,000,291,520,520,230,216,
823,262,802,867,966,645,267,981,436,757,762,611,647,932,704,587,545,827,502,
972,589,240,092,295,755,759,156,469,505,380,037,854,665,127,332,759,563,554,
650,739,832,399,705,133,279,733,322,487,888,720,500,480,817,995,261,461,081,
700,836,661,586,423,070,844,055,761,224,817,166,621,919,180,048,916,120,148,
957,747,239,171,716,624,879,678,678,818,517,939,771,456,569,743,837,701,535,
651,131,391,662,605,990,895,783,018,218,470,309,005,689,954,126,370,514,124,
121,838,961,886,578,201,114,895,679,058,131,202,067,262,496,199,289,350,363,
336,405,821,045,519,701,736,695,091,272,840,459,774,788,426,925,654,264,691,
799,863,786,194,547,968,428,923,047,375,391,139,614,074,868,075,957,174,121,
800,660,537,251,541,793,917,974,331,285,074,345,306,573,354,344,832,457,818,
046,814,404,707,921,725,623,584,331,509,424,088,349,535,734,120,234,608,377,
629,583,475,921,371,821,444,164,053,006,477,683,070,283,138,850,681,685,379,
116,035,286,358,655,387,240,680,904,178,052,315,774,405,591,506,107,773,866,
277,587,833,752,157,005,105,147,940,121,234,133,918,962,902,420,145,718,416,
435,831,433,848,940,447,165,267,059,745,830,987,039,971,268,972,682,391,122,
806,086,939,609,739,431,479,326,388,102,588,567,813,816,425,235,133,527,970,
722,676,455,202,998,827,831,248,336,605,313,213,213,178,927,885,190,148,924,
111,538,341,806,154,152,055,910,498,949,480,144,743,580,381,468,622,633,431,
509,327,700,718,975,006,323,601,461,713,649,388,651,083,211,271,284,247,693,
942,299,379,394,065,992,232,739,412,757,856,746,109,689,427,096,631,072,628,
511,385,022,283,271,391,414,362,362,537,757,219,829,748,237,038,909,698,561,
395,535,777,977,791,454,634,278,546,550,541,714,456,956,326,366,648,933,336,
400,490,336,445,251,369,830,656,870,923,444,394,937,286,297,196,523,646,471,
994,259,355,702,961,496,710,881,354,642,878,400,385,589,826,869,232,539,747,
719,843,498,426,235,404,828,540,332,928,413,184,086,912,834,582,476,030,966,
136,803,360,377,315,800,442,957,362,849,707,360,414,867,113,900,062,562,852,
910,483,584,491,170,592,487,573,509,170,550,354,487,060,227,872,332,024,058,
437,481,605,737,886,354,221,325,986,071,460,010,613,499,272,633,369,602,710,
527,688,946,329,459,818,458,520,482,385,382,281,783,585,951,786,093,203,807,
215,622,135,923,315,820,630,532,619,652,853,813,145,770,722,842,734,046,874,
327,147,090,226,184,653,571,686,249,953,355,469,170,194,356,196,788,851,528,
625,645,407,955,029,914,167,547,175,917,731,871,599,931,635,947,877,574,827,
811,198,044,531,908,014,946,473,057,366,986,845,227,110,506,483,078,985,928,
346,925,657,293,167,851,745,350,918,516,090,144,801,465,286,867,965,623,611,
275,630,645,917,501,347,494,690,767,649,068,995,928,943,978,803,945,792,888,
207,587,267,138,696,597,290,150,584,829,169,750,421,660,561,950,818,121,014,
814,453,975,875,249,417,375,144,540,808,331,672,713,261,760,363,432,582,858,
471,211,658,634,889,520,067,044,720,912,431,032,745,360,935,284,106,226,046,
135,019,675,785,892,178,015,261,991,247,250,383,754,700,387,649,411,086,012,
021,487,374,152,249,249,869,568,641,074,837,469,713,404,191,069,942,824,162,
169,405,745,847,498,744,654,383,670,847,250,177,866,025,419,044,381,078,423,
298,949,264,710,516,658,892,934,597,428,676,628,471,296,590,362,074,025,391,
592,095,335,908,690,326,285,649,488,969,409,481,885,910,959,159,992,300,807,
995,224,363,802,754,066,540,699,409,851,694,013,340,621,136,630,945,787,056,
760,881,460,350,675,950,405,751,811,086,637,471,950,133,488,415,483,248,310,
094,696,586,583,066,482,736,459,286,899,471,018,747,352,558,843,605,822,322,
352,750,873,980,335,495,384,851,095,252,433,144,808,373,054,437,638,992,359,
209,179,343,841,592,228,427,130,310,532,101,204,375,887,669,032,584,355,021,
609,665,570,837,703,279,313,556,956,180,716,414,475,287,412,706,419,025,797,
409,085,610,101,582,275,223,060,090,339,516,449,829,200,298,478,403,403,618,
092,585,332,348,211,108,610,264,894,780,387,375,471,779,050,228,779,985,789,
101,577,017,948,070,813,083,252,010,903,026,018,064,490,065,791,021,249,414,
265,868,437,820,501,284,075,871,030,982,087,378,321,957,535,056,464,552,362,
023,724,105,660,207,676,986,119,415,976,942,453,908,690,659,322,550,488,277,
388,339,212,110,258,010,313,038,236,578,559,011,401,829,462,742,690,812,105,
939,268,756,295,943,874,972,862,656,393,160,773,694,461,928,325,259,190,757,
881,189,682,430,605,735,778,943,636,506,599,132,693,604,599,553,597,176,621,
149,706,972,168,629,473,201,800,129,771,646,740,125,917,399,519,815,815,767,
711,508,903,386,183,741,490,158,311,738,207,444,119,048,072,116,740,747,695,
663,207,531,945,112,368,379,231,121,728,320,240,222,593,924,224,183,377,696,
461,926,663,629,425,943,966,340,842,888,899,446,558,069,283,560,238,559,108,
029,349,486,632,925,400,214,640,835,407,455,290,677,021,788,252,786,399,207,
599,269,295,707,284,272,421,733,046,758,873,789,728,961,583,354,623,005,318,
685,238,151,140,230,245,788,866,795,033,114,081,559,711,509,533,126,494,614,
178,777,115,454,989,484,828,233,580,742,696,987,238,616,553,355,670,114,992,
155,433,444,011,542,259,394,206,680,996,638,648,445,250,807,500,165,300,764,
303,111,789,110,874,696,927,551,834,475,799,874,817,029,018,961,063,543,546,
910,810,784,840,436,550,398,801,741,264,117,577,885,885,640,287,192,175,194,
500,332,306,553,916,834,956,843,652,070,596,247,715,028,107,060,780,137,164,
801,036,912,518,139,773,324,942,933,947,322,247,549,150,868,482,875,546,241,
267,564,879,726,442,428,683,489,068,322,937,960,019,777,498,806,381,190,749,
880,949,817,867,244,856,503,830,034,838,991,730,252,766,419,269,783,263,557,
610,209,661,323,195,910,464,716,606,893,690,129,455,963,217,591,186,992,961,
947,018,150,126,147,273,706,967,045,874,922,779,721,844,984,296,585,156,730,
348,665,346,366,360,928,846,987,490,437,164,603,198,863,640,946,764,341,382,
757,011,408,582,606,744,008,520,582,587,803,237,432,564,847,869,196,041,993,
210,915,864,479,028,308,099,624,579,422,824,629,277,855,636,089,467,636,437,
949,922,668,792,094,155,956,456,492,240,043,516,446,649,780,674,832,145,375,
367,282,599,804,959,686,544,025,326,737,913,207,002,418,525,001,020,586,824,
575,923,276,178,218,506,391,678,373,324,465,816,711,921,769,366,945,816,356,
163,934,062,728,140,551,907,792,356,339,048,338,639,566,680,292,933,534,043,
584,127,876,384,595,558,587,621,819,123,601,863,869,306,708,294,778,393,922,
549,001,891,711,457,508,234,119,341,999,013,860,385,004,423,091,716,010,954,
926,272,909,662,666,123,865,667,147,647,820,468,325,179,785,906,037,334,955,
224,745,832,119,991,576,364,638,266,773,884,832,533,356,601,033,456,300,365,
780,066,428,391,149,022,737,142,866,772,269,721,710,257,372,744,816,412,285,
237,661,083,676,082,828,744,026,594,562,792,355,173,813,070,580,106,771,938,
876,542,461,646,851,172,541,297,826,911,583,574,638,718,751,427,900,217,572,
671,008,260,732,851,770,902,437,156,211,992,487,544,560,442,773,409,034,432,
692,474,407,577,681,948,382,845,675,865,029,769,559,208,807,284,624,203,711,
131,075,517,588,922,709,204,032,720,804,705,700,514,801,141,152,090,278,842,
302,278,633,021,627,585,628,866,936,906,349,462,563,999,251,624,522,674,541,
486,924,631,941,112,558,349,420,471,032,014,871,323,695,759,926,843,951,879,
713,377,774,049,193,265,790,360,633,807,707,174,414,442,682,329,772,420,969,
398,441,628,585,600,127,593,864,394,462,013,156,059,983,078,120,848,344,564,
082,428,840,311,392,845,540,990,534,201,781,731,193,521,453,122,642,071,729,
242,762,257,134,966,324,593,538,324,439,729,124,287,155,973,980,534,768,799,
928,738,605,688,910,591,479,284,299,590,631,831,355,758,350,973,932,509,465,
281,688,317,717,126,233,166,519,508,929,192,068,440,700,781,136,582,269,909,
034,749,254,710,807,619,127,013,524,586,319,040,180,380,256,951,309,123,758,
276,626,453,383,495,796,278,222,968,678,333,600,334,727,603,336,158,751,645,
328,457,510,178,229,270,271,695,832,060,485,748,535,897,761,176,344,592,032,
547,520,627,477,709,957,560,692,770,778,260,812,773,412,617,869,238,529,553,
655,781,891,271,131,371,855,314,040,143,933,121,572,361,696,855,509,874,104,
931,144,665,838,174,196,814,172,771,885,349,625,971,684,695,903,994,008,169,
148,513,588,497,803,260,984,209,106,552,158,697,660,547,575,427,160,671,762,
471,620,394,333,706,681,463,981,162,125,031,590,927,003,818,441,270,839,617,
493,459,172,957,260,815,708,999,616,824,591,424,181,959,961,410,426,033,867,
569,662,189,033,105,680,129,027,902,358,663,921,322,857,835,586,640,275,495,
345,244,631,563,976,127,999,103,845,306,102,419,943,514,770,303,434,559,374,
082,690,818,403,065,544,211,752,993,088,925,375,175,611,976,592,730,855,918,
311,413,702,799,314,161,725,478,649,621,476,930,379,843,191,136,105,406,342,
526,966,979,063,901,875,866,606,666,621,101,920,634,209,606,289,461,708,161,
912,551,559,765,735,183,153,390,915,300,427,198,445,417,290,043,658,621,427,
201,848,244,275,554,228,169,931,817,955,336,669,499,498,860,266,243,932,625,
658,697,839,630,105,642,597,919,212,488,847,417,529,589,480,367,456,106,616,
003,606,490,701,898,246,712,318,055,902,303,778,373,644,641,840,082,390,165,
075,786,139,260,364,586,680,118,020,138,174,996,540,115,237,523,005,566,250,
102,161,283,187,777,942,708,705,267,226,569,767,367,033,872,723,418,456,015,
000,468,144,432,570,811,736,393,552,311,161,650,460,583,962,587,585,050,328,
935,015,747,155,656,924,975,153,401,784,291,666,458,689,964,419,570,946,479,
858,627,526,043,069,728,222,089,062,513,107,940,903,527,171,174,128,120,582,
479,424,666,974,100,162,094,416,221,110,384,088,577,742,893,195,786,767,355,
989,893,931,736,066,465,459,385,360,775,942,886,850,386,109,394,661,991,187,
671,495,236,700,086,380,933,763,610,168,561,273,835,097,768,362,893,993,795,
494,808,589,317,396,433,263,224,387,050,033,188,899,018,913,567,923,084,235,
872,034,255,122,574,738,428,001,390,314,446,177,772,241,275,363,001,296,439,
799,241,070,798,128,705,205,245,221,162,910,202,857,734,930,676,553,042,745,
427,263,346,062,077,499,470,348,061,508,270,690,872,273,757,965,325,018,854,
606,238,167,214,447,472,501,491,577,683,828,181,565,301,045,928,726,519,583,
987,333,553,872,204,101,256,267,281,216,912,464,289,937,112,945,274,291,932,
347,549,492,647,944,668,580,234,254,116,505,460,408,180,534,482,966,674,228,
626,486,146,521,764,281,985,651,785,019,305,280,130,839,143,103,322,548,115,
665,334,804,785,981,825,983,047,873,415,418,801,978,180,024,624,483,696,017,
186,909,080,743,958,427,898,311,337,092,515,658,965,264,171,826,058,085,592,
885,304,421,390,897,060,006,265,695,498,670,697,745,453,910,965,584,932,713,
037,529,779,430,437,176,550,730,100,182,279,245,869,885,122,757,912,138,789,
214,177,329,154,102,438,838,613,570,752,669,599,747,621,272,145,165,970,857,
020,304,685,605,246,312,125,857,634,885,741,471,803,608,309,424,201,921,417,
552,146,549,613,534,504,107,110,435,878,043,081,218,290,256,228,761,211,106,
204,054,291,547,733,747,309,517,322,205,319,023,854,021,231,324,440,904,740,
020,048,641,363,856,762,328,883,952,100,254,451,479,694,755,374,976,631,704,
631,082,862,379,744,111,622,124,421,723,573,469,991,306,792,306,515,915,012,
501,848,920,196,172,650,844,176,165,128,923,307,411,134,167,730,286,801,887,
238,077,402,813,606,771,171,729,940,046,053,210,697,729,239,993,426,026,520,
502,759,511,600,667,118,938,861,632,290,174,207,085,976,543,439,195,479,514,
098,374,378,028,768,025,352,733,985,154,803,976,968,985,339,332,414,343,449,
321,941,990,214,353,943,654,040,917,551,831,973,778,195,655,086,075,441,398,
074,249,455,211,348,062,419,508,253,606,880,387,540,630,897,085,491,326,056,
741,516,763,251,875,893,397,270,044,034,648,537,862,756,061,666,650,835,667,
526,302,740,293,655,150,088,134,703,277,932,153,048,035,868,856,494,738,736,
301,568,822,474,735,449,144,877,740,733,792,475,605,179,933,187,826,627,242,
776,666,264,084,181,113,760,740,418,272,001,796,757,058,854,490,602,769,588,
924,653,057,616,607,924,147,771,798,574,744,276,124,302,118,313,498,855,938,
823,151,052,261,488,609,026,569,007,830,973,527,249,981,066,364,380,561,700,
724,131,508,994,266,318,799,319,901,880,503,170,780,639,545,711,624,743,679,
948,726,011,685,561,180,598,646,182,846,995,764,021,346,958,181,941,219,505,
936,830,880,260,109,860,232,037,759,361,692,848,574,845,455,595,154,404,558,
136,107,546,050,923,368,178,565,800,780,267,746,489,820,282,476,048,948,358,
634,817,101,640,938,009,127,625,619,848,418,390,010,917,876,776,814,787,250,
245,616,694,921,015,184,752,289,781,085,543,117,842,352,329,687,763,718,969,
592,225,300,696,012,092,741,571,037,155,680,834,821,551,017,898,398,966,450,
133,550,705,859,129,290,064,015,330,488,459,022,733,954,233,846,771,917,240,
833,016,436,576,778,793,442,643,541,535,964,915,181,938,053,138,245,779,667,
650,041,386,583,422,699,526,381,236,200,264,651,752,349,688,758,890,233,264,
287,888,560,498,461,292,687,899,411,071,995,959,785,337,125,799,910,479,305,
993,918,367,797,978,837,967,576,956,274,885,513,395,262,088,496,608,259,633,
474,103,740,582,261,555,341,557,040,627,023,615,071,205,048,343,698,509,966,
509,601,403,679,304,516,092,897,908,647,428,132,739,278,760,679,191,841,398,
951,231,418,169,927,193,533,047,398,922,307,093,502,120,308,264,360,508,330,
174,517,581,026,095,112,914,640,929,088,340,112,403,639,282,870,867,778,755,
060,209,433,877,001,414,831,270,530,029,596,639,164,573,118,041,412,345,115,
943,158,986,274,851,687,712,650,706,815,399,700,168,080,360,902,287,606,164,
540,010,578,203,812,787,973,388,925,779,432,817,770,287,561,313,140,553,008,
326,291,495,874,484,979,329,860,340,931,095,845,609,318,281,051,908,411,339,
060,320,185,718,028,523,557,078,131,975,586,890,551,007,150,178,752,240,083,
121,611,474,165,626,284,014,284,625,520,331,079,849,252,251,127,114,679,424,
169,511,667,021,866,825,677,947,737,509,097,460,172,000,771,622,108,575,924,
160,647,428,051,214,096,213,844,907,368,038,613,747,268,790,120,046,414,435,
624,013,095,039,151,197,225,181,646,757,025,876,299,768,501,521,450,814,503,
022,116,893,667,294,674,060,239,099,710,520,016,838,922,503,470,987,686,891,
784,473,200,652,519,391,868,593,592,606,253,694,969,867,315,000,914,371,323,
570,564,119,786,448,760,164,020,815,641,075,408,342,185,139,007,513,316,166,
464,446,267,267,693,180,916,086,517,605,504,442,410,053,114,861,305,186,619,
408,775,503,425,088,453,294,478,187,671,792,886,014,100,636,135,022,678,989,
433,481,889,890,534,669,202,149,386,538,881,004,492,193,572,996,841,985,432,
653,184,860,067,602,835,577,388,943,402,435,452,376,406,059,135,231,144,016,
723,245,842,379,508,712,037,584,879,417,229,946,803,229,875,023,302,114,789,
875,798,001,707,159,884,913,445,689,532,270,434,377,627,167,065,062,039,526,
171,883,478,332,614,943,333,142,458,009,719,284,628,269,605,353,914,815,004,
263,127,984,721,046,895,485,218,581,826,684,547,575,547,851,447,071,731,441,
981,089,297,063,830,737,227,404,966,441,351,085,593,436,610,403,170,561,871,
200,823,133,800,145,878,505,391,544,369,035,825,678,186,790,885,572,631,425,
938,309,410,484,470,285,955,371,542,244,663,806,288,961,782,458,127,417,714,
187,141,274,599,337,466,820,771,061,913,327,682,208,988,663,170,771,830,505,
473,462,207,681,812,403,018,497,236,940,920,906,494,682,513,314,879,939,050,
232,510,857,981,506,423,026,165,605,478,620,598,532,388,530,504,997,954,243,
290,980,650,487,543,697,085,653,418,328,981,414,095,479,439,255,158,019,511,
917,644,422,556,243,957,128,824,172,193,592,067,639,058,696,940,738,514,370,
335,639,554,004,756,391,177,726,012,816,387,877,587,934,915,519,299,939,564,
575,940,624,539,251,000,821,988,741,636,628,116,585,084,424,154,593,788,550,
009,504,111,308,097,682,712,500,298,385,699,865,255,242,500,492,863,278,616,
415,269,551,411,317,138,242,534,721,235,448,829,103,569,790,636,532,063,504,
291,770,470,055,746,703,632,493,020,514,201,508,584,831,264,942,584,301,560,
813,943,640,521,872,898,251,094,370,300,105,820,874,980,699,268,180,152,650,
135,478,603,563,235,012,231,646,410,671,121,867,232,637,252,612,118,799,961,
710,165,187,353,481,125,738,815,584,992,615,509,683,959,164,586,141,190,554,
800,591,991,318,346,509,347,731,741,498,174,255,754,062,481,967,226,617,710,
807,911,364,277,810,298,659,604,002,328,977,138,672,093,711,323,922,532,425,
997,112,480,444,896,259,996,786,300,868,133,119,019,271,188,598,001,759,392,
206,176,513,272,429,827,912,731,998,767,281,464,822,921,106,002,512,231,872,
956,559,091,303,929,792,871,900,088,079,455,415,152,577,614,467,637,527,407,
084,733,290,219,141,484,676,330,911,711,479,969,900,558,585,813,288,326,084,
827,120,313,505,991,203,064,640,448,605,770,307,863,190,000,999,302,179,434,
874,683,029,411,941,149,288,504,257,177,948,846,171,266,249,346,450,370,934,
555,189,590,446,975,151,871,531,305,171,555,931,367,172,216,405,539,868,595,
617,116,005,990,391,976,739,336,010,406,571,009,080,796,757,605,284,867,077,
889,297,196,143,496,671,104,789,763,247,092,593,584,696,786,619,699,812,626,
090,143,717,078,098,944,575,641,771,925,464,517,864,650,889,225,913,093,250,
051,737,730,512,001,941,158,410,044,228,209,718,542,003,603,805,689,468,455,
002,702,034,724,497,286,446,587,955,790,897,501,852,373,184,185,368,455,666,
077,647,986,114,917,052,781,314,148,018,013,929,822,636,386,910,876,332,937,
036,390,035,759,769,830,567,421,773,450,232,092,337,822,583,196,873,426,253,
646,865,805,551,266,111,203,275,562,855,411,223,253,505,512,688,942,803,816,
417,355,575,598,997,611,298,207,400,110,816,109,786,591,068,255,063,259,911,
655,673,816,261,007,241,287,768,547,356,314,957,577,337,621,436,346,850,502,
925,100,865,988,641,102,489,409,172,633,212,191,537,174,634,717,605,897,330,
958,588,585,105,006,422,962,166,644,950,036,527,837,281,544,611,890,455,074,
418,174,135,177,316,806,894,772,885,378,426,107,125,074,772,283,859,777,578,
261,152,297,573,773,992,095,869,002,359,643,872,250,464,182,392,503,111,287,
889,271,550,807,505,111,509,452,538,653,442,407,793,100,853,001,467,494,103,
788,217,940,358,047,837,502,059,554,392,551,196,713,357,183,695,102,377,789,
609,933,689,371,749,543,093,187,892,219,981,602,135,386,823,803,519,035,220,
569,189,110,347,288,493,459,052,303,750,956,526,701,672,520,376,329,602,477,
391,238,798,371,200,624,870,935,303,204,677,368,233,433,166,733,505,046,409,
967,275,865,451,326,361,762,539,645,007,665,620,126,340,148,861,149,819,795,
818,244,789,992,794,584,909,425,742,128,013,406,097,067,531,445,727,833,663,
593,099,733,350,244,560,863,324,976,268,896,155,503,484,127,078,347,365,486,
322,946,104,067,138,212,087,908,948,543,993,030,255,907,798,150,843,347,789,
691,972,371,228,112,852,337,319,707,775,372,545,551,686,428,485,222,840,276,
294,127,965,849,693,261,217,652,350,780,787,906,318,233,570,982,447,196,615,
218,408,067,116,610,085,219,099,414,369,228,967,591,666,245,040,862,919,114,
607,554,539,325,188,251,596,762,944,142,094,933,726,875,949,667,040,848,724,
347,722,915,437,961,702,915,431,737,697,702,752,477,630,549,782,929,676,804,
591,569,672,384,749,121,262,723,948,757,701,174,063,923,032,983,360,685,569,
867,632,906,214,311,678,782,666,961,402,735,948,282,163,809,982,557,925,871,
395,288,719,516,617,131,768,423,767,792,199,373,947,218,718,182,665,988,310,
571,447,723,337,246,619,311,026,760,172,962,660,060,004,198,644,041,945,504,
392,125,600,615,370,024,424,844,191,814,548,145,511,070,745,203,046,392,592,
083,150,834,261,008,703,992,229,844,680,209,742,003,868,675,095,651,196,554,
595,300,428,268,371,677,086,374,484,100,615,462,471,815,820,644,183,600,106,
040,880,853,588,713,079,374,542,790,331,115,380,025,217,621,424,068,990,955,
531,402,811,355,749,355,453,807,430,740,454,006,855,266,936,072,883,173,753,
384,732,727,674,156,573,991,689,213,735,422,122,748,969,262,131,352,199,560,
174,283,588,291,830,647,041,600,894,654,629,919,651,787,615,436,527,830,093,
992,896,055,450,790,956,186,449,458,341,005,074,060,367,294,521,884,566,557,
531,837,036,542,415,444,386,883,414,376,918,803,499,525,360,833,386,215,113,
938,198,009,372,580,934,026,122,040,226,188,233,244,013,372,368,051,406,630,
434,602,444,822,869,609,642,128,065,895,506,824,364,683,201,062,387,986,960,
272,386,861,202,640,819,262,470,681,918,727,495,585,796,813,775,983,923,417,
479,590,756,872,702,777,939,405,316,038,749,034,775,472,553,098,460,239,892,
712,833,341,890,037,268,727,834,931,390,226,178,470,457,745,054,802,609,788,
708,138,420,220,395,481,485,162,100,360,811,159,533,587,758,584,330,935,525,
485,165,830,729,710,849,677,117,950,630,690,272,906,870,112,568,645,278,780,
195,856,975,629,159,580,577,515,144,828,053,945,630,955,950,216,098,998,587,
936,207,144,350,015,278,119,062,836,801,395,952,863,599,991,203,961,736,091,
488,240,889,396,090,357,350,324,219,151,812,217,574,361,342,524,899,468,288,
076,894,122,329,110,288,821,192,553,081,394,205,554,170,036,021,892,789,519,
561,598,263,766,457,337,257,429,622,090,047,470,255,810,006,908,200,062,389,
476,245,261,084,873,141,780,387,368,470,974,971,828,010,668,726,122,516,412,
001,674,992,520,721,697,368,566,852,223,345,844,331,655,111,276,529,737,226,
624,591,516,272,578,016,150,802,988,883,312,665,894,122,920,350,535,097,429,
801,660,449,342,082,299,015,719,639,573,602,602,764,612,307,594,005,099,025,
704,147,301,236,137,310,377,982,487,507,899,570,184,217,047,465,921,159,379,
471,547,188,482,192,255,138,092,209,512,306,282,705,286,315,619,072,036,634,
450,401,854,753,248,708,015,623,428,733,236,853,408,846,160,170,249,427,076,
876,572,477,425,748,018,223,214,698,702,810,320,582,456,591,067,914,817,441,
833,355,205,221,133,962,092,974,145,665,721,552,650,871,705,493,353,025,523,
028,455,981,845,688,760,138,364,960,986,374,346,557,069,747,285,186,978,355,
739,649,966,393,016,127,050,887,695,959,034,039,459,769,205,215,209,051,037,
360,181,544,611,309,539,051,543,225,112,373,610,442,292,376,387,026,045,291,
592,176,101,608,224,056,153,607,969,267,765,069,326,899,260,711,249,712,850,
541,724,539,132,314,130,478,331,501,630,509,812,836,020,470,346,489,688,152,
554,549,472,564,410,159,877,424,548,214,638,977,155,426,355,117,180,936,536,
379,729,391,826,781,614,836,079,459,995,351,221,452,645,497,970,826,905,791,
870,181,168,082,016,528,304,994,642,461,870,558,862,073,759,414,233,805,913,
593,432,898,399,347,172,655,413,497,588,076,247,092,181,704,049,464,786,947,
026,688,700,575,310,288,347,822,392,010,464,737,651,263,172,437,479,071,838,
917,227,371,708,717,638,733,283,138,963,838,989,680,880,834,223,958,599,070,
625,697,019,015,225,284,060,764,109,442,657,202,168,892,951,699,012,489,185,
147,312,422,873,046,763,161,801,525,301,057,926,524,928,630,516,435,374,811,
162,130,291,334,386,087,746,983,253,589,641,276,375,712,777,915,190,639,931,
381,079,355,504,303,376,004,365,823,883,932,705,064,220,358,062,504,206,252,
251,089,341,068,004,142,232,370,894,177,618,604,798,616,547,388,104,382,249,
431,830,491,845,710,452,233,287,661,177,230,579,624,555,002,661,484,709,055,
412,674,157,351,767,724,590,078,434,067,346,894,857,849,953,661,572,498,952,
105,710,981,953,637,780,611,897,442,956,955,545,030,065,038,236,920,792,017,
096,485,025,326,158,653,283,994,917,130,740,679,815,403,540,301,979,890,617,
239,691,423,853,159,701,766,139,800,260,090,775,849,819,011,142,468,940,841,
060,645,679,219,409,913,993,351,580,597,282,869,781,316,864,252,804,576,787,
320,533,359,429,610,642,944,276,751,848,525,870,073,505,407,596,846,330,082,
696,669,997,156,486,522,313,597,972,686,181,972,021,004,500,539,438,770,670,
277,717,685,801,735,361,313,392,643,165,085,417,815,917,201,286,615,468,278,
876,228,558,068,974,026,528,955,013,935,192,239,609,834,551,749,980,714,892,
688,031,144,391,391,747,586,900,459,173,088,326,880,452,444,804,823,229,533,
184,937,663,917,094,601,434,428,769,253,978,484,138,078,118,135,920,680,841,
251,834,886,768,247,610,763,139,263,887,067,889,169,579,938,752,657,414,646,
738,937,412,251,420,464,058,863,691,258,083,708,882,139,153,557,092,133,809,
194,627,475,512,453,318,387,965,993,330,633,077,947,739,677,862,445,455,892,
033,383,174,841,709,381,134,174,724,639,682,088,927,089,222,252,003,568,514,
579,983,625,451,164,955,488,200,330,700,843,526,574,999,788,056,791,315,244,
548,336,528,505,062,876,755,925,089,849,940,892,981,807,616,004,542,320,238,
986,983,253,078,052,732,132,013,921,240,561,730,465,584,764,419,524,619,427,
415,443,894,047,912,729,112,835,558,307,879,491,300,876,067,861,612,842,358,
834,395,347,451,488,405,737,941,598,639,230,268,442,035,430,777,032,014,517,
373,100,168,230,777,789,094,537,784,794,176,392,955,542,632,399,561,594,738,
710,134,232,230,064,357,021,038,703,301,926,071,534,579,957,911,505,321,520,
315,763,301,915,338,665,103,761,087,074,926,531,670,599,851,270,685,585,393,
395,803,311,713,374,012,632,459,345,162,556,763,888,771,375,602,768,085,898,
451,878,729,536,278,176,765,869,796,595,575,030,348,840,487,370,179,038,374,
359,960,199,916,613,421,329,678,817,319,684,148,110,010,986,758,752,953,578,
437,928,038,062,235,770,415,096,424,061,951,506,405,870,091,646,413,776,347,
796,980,283,798,532,732,918,039,710,916,064,624,104,631,271,314,620,312,894,
950,080,676,812,989,551,465,813,281,128,119,870,806,656,955,894,058,794,240,
092,226,857,841,608,624,486,317,661,499,037,041,227,932,667,296,614,504,156,
850,887,600,839,710,630,658,718,459,360,205,420,023,086,317,667,868,526,363,
856,777,502,205,180,576,182,048,148,005,934,667,841,427,789,064,257,884,044,
933,157,105,693,902,849,665,386,473,584,656,090,690,798,287,728,794,486,778,
810,648,526,385,087,334,213,812,894,995,248,700,802,007,808,223,938,040,686,
936,642,354,777,903,102,702,906,693,622,652,011,361,099,381,374,227,473,197,
231,088,092,375,077,637,349,244,073,000,854,453,806,834,095,436,172,428,103,
915,613,357,516,901,640,657,727,734,163,390,957,200,448,276,916,500,202,362,
468,702,317,585,450,730,890,986,225,500,404,523,450,933,378,024,551,514,760,
527,258,889,465,174,400,844,598,761,322,997,851,675,309,747,792,939,986,076,
166,597,026,837,914,659,762,622,367,550,770,016,113,987,898,801,248,880,457,
592,192,652,574,812,078,553,751,262,543,417,940,098,559,582,538,277,199,986,
531,291,701,363,026,833,535,074,782,783,160,540,251,075,573,757,937,359,596,
808,044,734,000,937,336,156,042,562,515,549,264,448,809,206,399,069,688,749,
225,183,955,521,291,911,713,324,354,149,735,437,618,103,432,847,307,320,919,
635,425,368,803,817,124,360,566,999,101,502,253,977,628,813,394,103,118,862,
743,832,589,357,768,684,922,623,477,556,025,211,723,125,912,169,254,647,833,
314,281,658,404,303,596,685,517,865,299,773,852,473,513,107,925,509,216,791,
063,694,898,017,505,103,976,066,205,588,133,094,336,811,636,045,514,413,345,
055,349,458,233,891,761,038,934,354,634,114,525,994,003,540,637,019,946,891,
436,953,509,803,280,651,681,452,403,631,467,142,064,986,964,679,860,737,012,
611,990,821,484,313,991,430,548,596,794,793,121,147,400,263,033,935,029,118,
798,542,530,098,256,078,652,050,049,578,061,586,310,969,123,928,577,477,263,
326,289,275,940,988,377,606,840,726,422,946,092,508,708,812,207,051,273,104,
309,361,986,665,913,683,547,657,876,597,315,747,825,516,534,687,548,552,768,
273,784,144,770,616,231,812,329,405,447,198,226,639,378,192,360,795,256,177,
533,987,362,585,837,633,208,465,902,098,456,963,747,500,989,899,126,561,953,
422,724,069,015,219,534,190,658,164,392,756,854,744,745,752,092,381,547,665,
046,210,210,803,203,685,523,871,563,232,738,319,772,654,009,486,342,896,156,
603,103,880,358,328,695,859,195,723,922,480,686,479,560,170,049,307,183,681,
591,690,376,461,273,497,667,598,168,216,258,201,540,559,647,408,414,751,078,
583,807,120,861,837,366,126,049,691,692,164,582,534,754,728,393,893,938,502,
527,210,078,177,493,721,350,584,959,650,399,387,478,178,680,235,205,347,109,
337,070,134,291,955,212,262,948,860,887,594,456,273,951,887,528,980,918,080,
626,947,695,914,535,505,613,396,013,520,235,441,123,751,557,229,688,462,237,
938,054,314,811,211,608,851,396,365,984,489,064,891,707,070,621,928,685,794,
351,092,317,078,298,527,679,744,430,803,702,226,294,821,722,451,724,870,516,
043,671,215,085,621,069,393,544,562,169,654,860,708,601,380,817,025,154,357,
905,758,675,889,054,510,429,492,264,242,586,149,603,836,288,077,881,340,598,
839,769,396,656,877,363,218,309,021,574,194,682,009,309,722,440,796,125,734,
554,703,527,011,894,429,970,136,180,947,943,750,892,154,447,893,915,172,981,
405,946,119,554,880,224,830,588,454,445,312,359,122,319,135,520,495,493,290,
821,499,345,742,794,795,996,429,035,383,303,281,614,583,286,303,734,977,472,
112,652,363,038,345,125,128,520,484,996,997,431,124,166,161,647,289,778,486,
318,430,133,791,012,101,854,954,788,623,118,496,671,904,777,356,806,998,518,
672,032,192,716,976,516,429,509,460,265,451,144,826,530,272,608,459,805,138,
579,006,419,621,230,944,896,272,048,876,671,220,825,168,993,689,754,709,749,
975,597,766,001,826,703,833,043,832,128,315,191,471,752,712,039,045,394,523,
589,078,788,523,561,749,725,396,234,965,193,968,963,216,503,503,869,918,547,
343,094,207,287,633,458,531,792,375,067,789,743,474,806,862,883,394,119,270,
205,222,773,727,334,029,437,204,909,700,458,498,524,254,094,469,823,986,427,
198,920,387,812,999,477,400,789,786,449,075,786,484,825,833,069,686,214,328,
501,969,740,046,738,195,462,308,447,069,028,042,709,599,688,034,484,165,468,
957,573,699,211,853,205,620,618,125,972,994,898,178,201,605,712,175,371,749,
947,572,254,976,278,258,021,291,096,259,254,901,549,813,587,188,173,993,108,
022,372,451,321,441,940,114,009,997,035,881,825,507,921,365,246,861,272,012,
249,712,600,465,199,988,562,209,178,777,161,532,775,816,700,574,960,599,362,
460,851,110,390,383,811,738,018,656,863,386,451,268,595,366,232,985,610,253,
453,289,020,653,321,496,431,725,504,554,062,224,656,854,960,636,716,900,948,
000,332,124,974,110,341,192,040,974,168,755,737,058,266,311,604,578,368,535,
951,436,744,617,013,919,087,367,706,877,767,601,862,184,169,845,763,854,413,
496,675,328,350,579,311,479,391,220,066,832,256,516,407,605,554,080,356,264,
690,377,122,752,466,581,547,374,672,278,436,558,067,229,276,040,727,872,114,
967,262,455,562,542,191,444,399,681,287,099,617,570,388,560,838,155,864,409,
860,471,526,449,134,745,914,971,861,319,378,682,737,623,863,477,309,583,224,
020,677,947,203,343,059,355,260,126,482,915,661,451,738,274,801,589,220,882,
852,061,319,754,831,192,524,314,160,600,136,027,605,140,899,823,913,214,349,
860,717,762,560,279,421,328,989,719,232,697,084,423,899,961,704,837,526,914,
732,697,271,539,178,765,323,575,274,070,345,205,886,536,151,179,894,403,860,
870,401,034,560,641,317,689,553,526,901,307,230,788,108,873,019,949,652,264,
054,275,776,786,453,358,576,378,877,119,233,834,798,116,405,323,120,085,801,
570,192,644,421,981,878,751,793,958,421,474,208,079,767,553,811,704,501,903,
647,040,547,977,832,310,363,614,787,153,673,179,090,532,669,831,121,688,958,
209,054,755,333,382,681,069,125,795,627,828,326,545,001,817,928,494,822,687,
343,882,621,285,881,292,304,340,476,356,720,782,282,553,250,804,197,631,989,
150,995,499,463,047,781,114,307,551,408,321,631,901,259,752,287,639,172,941,
416,924,134,063,687,417,545,582,771,054,452,386,542,399,211,097,653,212,049,
399,630,027,827,628,294,983,062,825,207,387,048,968,506,634,145,012,804,190,
245,882,634,640,843,024,141,189,542,179,828,699,983,858,086,933,784,732,444,
470,735,575,650,012,312,963,685,373,946,856,633,687,018,468,324,226,730,089,
467,067,996,664,148,926,971,508,208,749,779,118,101,411,941,660,698,172,039,
652,439,807,524,277,628,852,452,104,095,777,176,247,327,039,220,808,745,486,
784,518,659,115,649,422,528,307,356,430,210,602,221,232,076,419,527,439,569,
263,698,368,738,354,577,706,918,898,044,487,301,498,371,890,512,940,137,328,
317,429,940,808,666,917,013,283,597,535,946,120,288,803,664,433,666,341,155,
880,659,288,495,053,430,163,194,822,678,758,544,860,384,844,853,064,912,675,
915,503,526,058,205,541,147,676,489,343,590,704,199,384,793,222,528,247,082,
127,181,802,695,299,746,870,659,395,165,262,692,987,202,552,452,137,510,796,
182,409,595,242,215,340,412,363,194,573,862,782,489,192,064,457,926,777,123,
352,431,582,734,952,910,816,959,905,716,730,523,589,804,353,450,271,809,742,
620,205,873,421,355,457,752,829,110,483,795,583,661,353,066,479,273,274,053,
242,777,906,975,023,422,864,936,285,058,862,008,438,379,999,886,950,306,591,
666,077,481,138,554,545,462,218,942,503,513,883,603,950,126,336,126,527,476,
626,843,313,516,343,035,059,498,476,877,934,679,449,673,178,129,736,835,495,
573,727,915,530,594,817,903,042,575,720,151,508,338,752,411,319,891,050,008,
223,546,375,512,990,542,879,621,727,912,041,031,702,909,116,394,863,681,428,
118,942,089,491,746,998,602,960,892,597,344,521,525,332,622,586,532,625,919,
391,106,804,143,520,577,726,799,955,994,088,652,820,279,288,873,342,782,301,
498,622,931,794,473,110,581,490,584,674,902,775,805,552,676,855,893,030,180,
055,565,920,707,057,150,299,695,945,175,239,992,502,092,196,725,245,061,002,
628,361,984,584,207,119,102,445,528,720,789,977,821,734,696,313,446,261,945,
834,174,934,447,358,228,597,716,038,677,111,538,613,700,527,743,734,000,999,
616,658,372,411,928,510,507,291,253,771,945,330,010,333,054,517,810,241,355,
919,563,108,523,964,447,099,037,485,357,527,310,863,534,219,620,923,786,550,
663,809,975,019,843,424,039,580,725,677,007,767,603,659,371,131,885,762,043,
604,607,369,554,100,617,773,079,621,377,580,604,794,412,228,623,449,241,063,
100,673,990,230,827,208,684,869,509,394,920,099,441,590,964,810,176,760,903,
954,056,781,631,213,646,012,482,341,546,295,049,680,297,504,850,181,302,054,
090,277,482,581,255,066,306,810,480,058,213,360,258,764,455,162,322,342,213,
588,945,421,789,070,082,377,522,325,122,934,760,021,521,660,530,470,382,795,
196,888,179,228,305,934,983,601,609,590,803,331,162,264,235,479,575,426,392,
634,637,669,794,878,715,043,774,456,024,785,930,758,304,731,099,507,310,011,
293,042,804,520,379,811,465,642,083,438,633,061,456,763,422,480,464,661,663,
708,484,169,695,186,939,890,374,228,795,040,399,045,951,371,894,694,922,105,
028,328,684,016,362,208,365,898,087,401,118,483,024,291,973,997,753,087,703,
577,833,210,038,270,680,368,848,514,409,251,988,102,815,637,776,242,685,082,
543,547,332,684,891,241,612,829,685,804,656,592,366,861,715,041,696,320,119,
315,648,702,746,650,403,346,527,572,311,573,140,681,184,887,169,232,941,581,
698,764,385,844,766,133,139,231,369,115,305,789,289,335,732,025,168,840,569,
473,049,934,489,552,617,914,259,353,086,856,235,916,091,005,597,501,992,185,
351,891,732,668,573,509,600,063,644,878,891,071,887,013,688,577,335,892,003,
586,073,241,241,176,359,969,926,612,027,765,053,927,986,087,187,403,747,040,
506,799,979,262,431,783,664,932,355,645,093,184,379,387,494,964,567,050,902,
248,711,084,807,264,565,847,228,051,600,157,122,493,502,837,593,790,051,738,
166,074,284,697,877,781,673,643,304,916,024,194,485,516,305,167,445,534,719,
159,802,100,675,478,462,095,258,167,273,060,414,282,574,977,146,182,379,034,
077,615,993,137,547,513,062,261,085,123,904,303,284,518,915,315,404,003,868,
096,190,547,061,890,593,464,660,241,423,816,954,522,807,281,232,632,207,478,
989,622,983,221,889,489,106,628,877,309,774,283,716,485,058,153,343,685,961,
625,932,559,311,622,543,901,066,555,377,511,857,322,774,727,565,104,336,480,
549,091,741,996,755,870,948,920,446,814,186,757,569,579,009,840,723,337,491,
941,751,760,145,520,912,636,717,705,243,465,675,831,145,568,662,719,221,882,
287,232,146,802,826,455,496,156,500,442,483,343,498,536,773,016,459,614,873,
889,395,486,766,652,894,858,176,726,557,470,944,194,434,315,073,974,126,853,
762,558,241,182,100,733,368,906,869,852,479,780,960,640,976,978,822,089,743,
315,197,288,827,664,557,024,564,051,812,281,499,636,336,530,154,533,631,949,
538,516,299,869,753,688,199,637,552,946,444,780,880,374,154,895,031,523,713,
328,405,050,455,236,496,516,466,034,694,915,041,824,367,716,700,848,538,482,
977,628,699,585,823,175,720,547,047,279,004,359,900,939,995,533,316,090,324,
402,918,127,701,609,520,265,868,785,528,065,112,940,037,409,972,694,257,208,
095,733,229,480,451,520,655,310,329,822,394,150,214,926,256,162,598,114,914,
264,829,146,061,975,444,129,080,934,926,738,416,590,415,427,203,382,279,023,
845,292,821,872,160,839,077,648,251,806,798,375,601,390,296,286,637,894,401,
106,039,503,976,431,426,071,712,286,249,290,200,539,471,567,754,872,929,567,
251,075,603,661,853,900,611,419,749,657,612,407,140,506,648,478,283,657,047,
628,280,513,353,839,439,109,042,382,378,519,451,588,341,831,958,376,410,730,
147,245,721,941,055,120,702,564,702,294,675,237,323,433,035,351,799,313,880,
832,995,346,481,493,310,706,592,968,374,556,291,465,616,349,749,913,490,224,
600,348,645,865,111,805,870,634,224,099,322,749,624,903,828,891,780,793,247,
822,049,559,098,568,117,378,046,803,423,731,210,790,830,598,712,726,123,581,
154,905,924,676,919,851,395,046,314,060,507,214,431,584,688,408,481,527,527,
078,825,337,945,108,750,843,005,993,497,416,681,907,904,730,088,052,472,173,
761,497,714,964,452,373,625,720,747,273,417,320,680,060,252,258,758,443,237,
516,320,802,714,279,416,760,662,293,980,330,237,811,405,967,783,887,125,319,
132,917,650,459,481,772,639,258,735,044,869,797,145,942,267,822,004,882,333,
824,978,465,592,962,693,797,796,351,262,328,506,809,476,117,448,326,798,225,
364,890,220,760,867,753,995,583,921,253,608,441,963,410,087,133,764,705,917,
786,473,678,383,189,962,782,305,675,739,551,580,062,719,058,869,104,401,647,
612,300,980,433,442,540,414,711,220,696,374,541,159,255,064,212,226,324,494,
993,015,594,930,616,028,964,100,731,581,534,906,816,599,230,201,945,071,658,
654,418,965,429,419,876,363,148,935,477,956,580,247,674,866,054,088,804,734,
158,629,448,998,518,284,102,687,516,414,020,951,198,475,139,709,513,451,507,
939,328,315,302,644,734,659,570,924,265,194,632,364,391,144,099,633,298,876,
150,158,758,390,239,718,489,605,712,163,780,843,062,396,234,749,599,444,544,
164,900,613,832,316,082,441,453,761,390,848,586,753,722,359,705,875,160,647,
971,680,421,279,926,217,283,486,280,985,810,594,504,486,369,078,077,864,080,
812,311,964,877,194,947,333,336,687,728,856,186,060,737,978,477,022,525,389,
739,383,366,517,239,122,410,856,729,063,713,770,220,355,092,986,163,494,135,
525,054,669,383,731,909,050,674,094,603,693,610,890,205,172,694,649,851,937,
591,044,652,712,701,629,952,036,808,373,562,432,715,606,032,220,960,318,261,
456,357,767,254,661,221,944,605,287,303,439,099,114,670,994,325,108,446,230,
594,272,382,204,377,234,342,945,731,465,579,202,186,840,777,299,114,606,134,
529,157,732,085,718,289,836,417,529,662,722,048,532,693,949,094,060,200,993,
448,448,102,501,627,331,360,228,434,363,981,988,071,972,353,322,816,705,382,
233,801,090,100,465,092,696,316,402,954,611,994,545,664,408,753,105,033,919,
588,998,752,353,283,205,480,774,789,774,585,848,175,125,076,170,280,954,397,
595,517,212,105,986,673,323,712,122,239,552,866,416,003,904,994,170,462,770,
613,498,837,730,358,302,516,481,507,267,584,843,768,875,632,757,301,890,743,
654,539,595,757,620,554,955,340,910,543,085,055,091,492,738,840,616,019,972,
044,906,976,945,767,094,694,406,331,982,012,037,618,720,942,648,339,370,824,
011,128,522,105,873,652,771,587,746,375,616,450,062,176,880,064,765,599,927,
649,689,012,342,661,711,560,597,850,789,894,353,750,845,343,444,819,993,339,
189,420,338,644,032,676,183,567,444,435,823,367,216,623,236,397,193,784,269,
825,893,547,394,401,569,782,769,405,823,959,239,709,125,703,611,699,104,934,
278,007,565,162,545,632,469,580,952,567,108,733,779,499,436,745,061,116,394,
809,461,558,409,661,588,425,963,102,430,707,919,685,177,706,394,009,330,132,
548,057,388,472,114,125,418,066,730,225,480,327,445,066,619,205,892,628,530,
523,929,271,377,658,245,598,302,087,599,734,799,007,759,127,453,543,430,171,
281,071,911,637,923,221,997,936,141,096,893,897,301,909,193,521,260,223,532,
751,847,714,728,495,251,262,669,279,160,888,340,491,402,964,356,380,740,973,
621,155,176,798,443,586,575,783,378,862,616,833,706,369,568,768,032,445,477,
014,683,948,854,155,411,769,875,316,230,730,952,222,422,821,820,337,657,166,
864,816,637,592,027,516,712,881,621,631,387,810,737,441,895,491,787,756,457,
185,591,419,725,715,245,615,861,923,793,725,817,328,426,984,145,958,875,919,
272,841,632,316,110,177,915,315,855,974,220,948,456,604,238,034,675,368,885,
603,532,239,347,109,196,106,328,430,553,233,994,577,771,419,835,213,743,857,
512,217,299,934,669,984,957,328,865,171,677,643,564,276,055,066,535,864,853,
111,367,802,494,298,475,963,853,909,952,514,413,617,254,568,792,092,766,390,
277,457,510,747,962,327,894,248,345,101,133,688,760,923,236,334,468,852,417,
964,576,280,194,908,986,915,569,847,690,825,759,187,054,455,461,110,152,500,
356,093,090,037,436,364,547,055,517,914,822,131,206,072,758,432,254,897,570,
549,020,096,329,450,209,691,456,559,990,344,738,927,128,348,622,472,367,250,
984,960,705,201,207,400,812,950,799,144,067,321,758,411,436,547,016,424,284,
186,445,886,226,793,798,090,004,412,741,299,864,143,743,427,518,133,973,845,
695,572,616,669,818,850,940,910,037,858,420,322,655,130,276,755,167,275,537,
198,697,990,972,269,944,148,496,843,816,558,422,517,244,984,824,647,799,403,
197,864,498,698,343,913,103,082,612,674,051,247,490,977,490,197,010,007,607,
498,084,510,135,499,686,503,044,047,373,749,261,005,319,996,830,913,577,617,
595,887,290,015,866,252,139,530,103,950,554,370,039,417,879,227,188,904,744,
388,559,541,203,257,255,603,604,332,098,155,770,844,601,478,755,347,392,883,
743,961,237,926,617,001,962,143,160,243,266,244,016,355,713,852,860,655,099,
114,183,996,799,638,076,539,773,559,013,037,515,239,520,659,238,966,213,706,
054,430,192,368,526,581,590,458,348,950,601,956,758,549,958,149,533,149,055,
209,759,046,497,438,771,581,734,920,054,480,931,426,968,250,515,024,473,642,
463,783,565,763,776,939,023,548,395,322,061,658,714,960,724,899,446,264,955,
322,341,326,943,757,456,444,051,614,988,051,542,993,195,232,732,078,149,993,
509,649,042,913,020,304,558,216,300,410,107,385,200,227,124,633,100,505,372,
211,094,659,978,422,946,366,040,963,691,778,611,200,727,574,075,109,674,811,
377,903,225,647,357,226,010,039,788,481,734,696,450,640,332,877,355,702,225,
058,520,622,772,288,675,013,032,649,081,917,896,845,693,230,790,567,632,020,
560,963,761,825,316,719,346,645,490,664,049,355,791,669,021,356,525,179,645,
465,589,264,381,320,482,383,559,255,698,655,769,154,074,564,184,585,671,333,
393,280,839,157,930,509,002,584,135,405,646,370,172,474,981,149,030,348,917,
912,173,905,761,902,917,855,794,286,061,763,124,498,213,126,011,615,025,116,
053,709,564,256,563,741,453,118,525,933,760,336,108,816,351,218,882,699,223,
834,939,222,694,617,441,427,660,151,691,618,408,475,229,352,209,441,386,518,
568,873,913,752,442,853,894,507,727,989,758,842,500,605,363,556,124,117,920,
695,819,076,548,204,885,104,920,309,234,442,231,628,167,619,485,008,966,293,
410,707,606,998,461,644,144,905,861,866,599,112,824,287,686,219,135,552,563,
126,824,933,230,215,773,292,102,326,190,866,068,368,217,139,409,063,443,068,
500,073,161,076,521,473,326,698,524,267,567,387,486,105,440,112,694,398,571,
071,914,673,464,825,411,342,704,129,497,433,158,938,885,859,155,875,781,954,
732,234,136,559,083,449,348,214,602,372,974,475,662,939,685,855,463,039,332,
315,226,828,007,063,529,903,480,565,449,243,943,654,055,078,893,882,424,734,
611,431,901,180,569,645,437,728,937,051,068,843,466,939,156,973,144,879,861,
817,081,750,580,665,690,585,663,160,045,104,456,972,667,746,643,936,761,479,
460,940,356,356,645,135,472,718,702,657,217,028,692,620,651,799,271,491,093,
652,252,813,843,541,112,604,815,653,991,994,123,903,543,757,291,969,293,394,
673,789,388,012,527,871,428,751,005,934,772,007,723,964,954,728,894,906,537,
333,049,849,511,076,850,989,795,763,726,038,740,985,810,272,715,356,944,408,
236,736,596,606,852,771,524,077,523,175,029,565,236,665,688,861,871,564,719,
376,709,156,510,877,744,862,336,313,559,518,112,384,634,296,990,665,507,066,
781,939,556,728,856,969,655,212,448,419,681,156,742,548,436,847,752,923,883,
783,068,614,538,110,435,341,364,851,026,993,009,746,379,539,729,808,012,879,
992,469,565,369,192,260,963,736,017,064,032,990,537,434,409,646,199,289,655,
946,691,542,577,375,947,783,651,855,805,628,001,889,579,536,391,259,384,673,
507,754,833,939,736,581,739,905,495,945,318,094,403,273,712,960,294,760,690,
156,287,501,764,900,987,120,729,540,584,222,456,228,868,708,039,940,164,345,
068,421,390,250,171,219,855,029,433,579,557,617,257,003,334,510,107,765,761,
877,407,329,487,499,976,716,981,846,074,165,739,237,741,213,916,995,214,593,
009,165,415,955,063,188,117,331,282,769,541,085,435,375,127,857,368,694,396,
929,496,231,587,723,867,817,248,988,197,268,064,800,599,485,476,672,418,321,
352,416,064,878,653,157,367,098,736,985,058,260,439,523,626,689,707,524,241,
880,786,260,972,557,965,415,829,085,486,385,044,710,349,886,301,990,904,568,
289,099,787,593,955,953,680,647,015,608,887,851,151,261,110,053,173,646,349,
051,789,270,531,623,998,002,555,354,916,506,339,225,009,522,435,813,724,520,
265,442,420,947,245,710,416,985,201,876,375,551,841,973,186,355,087,413,919,
700,500,803,552,709,987,206,053,988,762,667,411,540,425,115,391,891,798,419,
425,707,067,965,047,403,439,706,147,193,862,652,814,701,513,058,201,398,437,
355,515,882,709,801,219,668,180,466,873,151,393,896,183,303,099,935,972,739,
150,122,330,050,444,679,744,509,550,555,424,523,928,416,486,965,755,650,441,
146,719,518,263,838,976,734,185,653,931,198,090,435,255,723,928,300,237,306,
831,668,796,327,202,317,398,730,995,662,773,635,522,143,777,306,840,013,408,
979,795,107,324,100,282,341,010,550,587,658,526,194,653,468,002,901,975,336,
234,342,524,889,891,708,885,987,487,218,981,529,343,049,714,686,576,612,151,
018,948,886,999,075,382,003,894,015,152,586,368,279,801,484,744,641,106,113,
024,660,209,290,230,832,430,791,387,079,472,028,356,318,139,212,129,111,796,
295,115,827,765,968,763,547,243,412,918,626,817,237,245,172,084,761,824,969,
364,077,260,609,944,463,829,962,193,979,664,792,183,939,431,429,573,559,442,
854,289,626,335,300,566,733,308,037,670,888,310,181,437,674,169,263,981,124,
830,451,865,944,230,109,517,907,415,435,025,360,212,365,901,910,691,053,438,
877,702,575,799,851,920,337,589,434,132,966,711,351,052,997,892,805,657,649,
220,740,369,283,621,998,352,841,159,576,539,268,169,223,945,735,921,951,892,
740,751,200,815,037,541,645,305,384,047,440,434,034,416,844,390,493,862,863,
429,325,124,265,864,045,412,578,955,686,180,422,167,239,769,166,967,559,326,
111,789,098,814,032,535,820,853,876,210,825,716,831,882,383,844,040,367,724,
419,694,635,585,408,258,367,421,875,880,101,499,102,380,757,704,249,998,880,
139,866,810,838,217,617,908,661,235,396,813,671,127,763,975,543,675,648,514,
696,997,440,174,236,492,314,112,597,235,755,801,686,283,643,564,240,910,242,
543,097,235,158,880,639,682,235,794,580,364,643,575,570,366,141,381,349,292,
024,308,431,494,652,230,003,950,357,185,034,954,553,262,803,877,235,642,344,
208,000,258,505,965,491,299,040,144,047,606,752,549,764,260,058,492,637,967,
038,489,615,534,595,521,856,369,812,591,475,880,878,885,654,921,894,042,254,
598,722,660,404,575,822,615,024,186,022,776,026,801,343,642,850,509,699,323,
961,055,165,076,862,135,525,128,948,954,853,557,568,657,428,830,991,882,270,
788,452,240,646,507,845,625,701,738,521,771,656,245,674,412,201,423,111,720,
700,229,139,432,421,756,878,303,690,184,825,626,720,673,002,615,571,163,082,
456,959,399,796,594,926,475,514,672,700,638,344,727,342,290,444,724,337,429,
048,372,656,630,748,162,240,852,045,726,522,106,646,247,592,724,338,792,865,
012,813,674,087,084,408,406,887,736,172,776,185,639,613,713,951,296,020,591,
554,679,030,952,052,915,927,905,985,167,181,297,170,587,635,337,137,180,811,
251,417,315,440,018,215,678,592,260,257,569,511,617,509,386,453,387,683,083,
450,204,681,081,354,374,347,056,581,668,818,437,385,576,485,036,759,727,253,
294,699,051,072,642,658,153,446,623,339,577,781,641,678,171,499,505,988,988,
172,735,547,054,606,732,817,461,965,832,084,814,633,896,724,149,307,772,393,
454,084,569,199,228,061,659,059,797,060,640,411,996,763,750,687,575,143,623,
556,764,051,609,438,926,241,329,320,680,762,768,698,265,999,001,791,887,648,
894,373,596,555,072,103,464,697,499,268,815,825,944,187,118,808,200,454,191,
899,734,283,528,128,092,617,586,837,192,418,543,789,769,949,155,630,603,170,
316,118,177,944,685,977,542,964,946,253,227,092,783,111,373,859,328,260,069,
165,737,312,998,694,682,178,156,679,417,752,470,028,230,203,641,235,877,410,
497,937,605,287,564,794,315,037,345,603,132,324,196,717,081,762,061,033,239,
875,846,258,592,820,183,487,349,490,068,684,411,694,549,516,238,092,636,732,
612,156,537,423,379,817,073,209,287,587,474,721,969,303,604,835,323,634,282,
430,888,792,481,619,855,646,322,340,169,320,180,740,457,941,639,245,164,314,
425,905,347,494,923,370,452,566,063,342,983,667,575,051,673,295,064,683,835,
855,524,145,709,437,832,105,091,811,835,873,664,141,400,310,777,724,659,128,
483,862,766,179,418,931,876,075,450,731,868,960,917,254,977,979,965,286,939,
916,801,474,782,912,403,708,570,379,807,826,215,152,562,736,936,570,348,502,
358,676,581,989,651,840,711,327,368,290,317,952,567,692,568,043,881,411,931,
877,282,264,389,454,177,348,306,635,059,633,105,307,874,952,384,406,257,684,
887,780,860,773,430,161,539,122,577,109,088,573,104,082,222,348,888,424,782,
022,363,176,538,778,925,056,296,125,058,677,881,069,744,631,591,846,578,249,
608,381,147,184,086,350,471,463,405,811,904,722,040,124,130,586,452,930,966,
140,949,505,615,465,621,103,256,493,085,162,621,663,810,601,834,640,903,836,
405,480,989,895,016,027,331,343,889,601,254,823,152,817,487,596,288,361,862,
849,528,981,472,467,791,737,080,737,058,441,668,707,007,311,308,065,903,245,
685,477,334,348,152,885,458,499,883,578,904,592,126,984,063,976,716,367,804,
525,480,351,585,687,113,769,797,027,166,114,754,992,569,093,560,264,878,610,
088,081,786,735,320,460,024,090,116,960,329,086,767,035,995,469,089,822,990,
811,505,026,876,140,396,983,410,783,273,653,553,946,222,034,776,396,968,216,
790,427,502,412,919,410,622,463,932,693,184,355,043,493,063,071,377,531,002,
601,748,365,188,696,861,215,016,079,748,948,058,923,370,884,456,470,528,911,
471,379,266,691,302,253,755,326,997,054,608,211,479,987,943,503,961,945,141,
164,079,303,335,351,007,727,919,082,948,576,736,120,902,639,241,763,488,587,
854,941,386,381,193,988,633,393,660,730,547,076,028,485,684,849,558,402,767,
843,507,997,783,464,312,717,189,231,080,167,174,394,540,568,929,567,966,604,
304,128,002,847,141,464,450,523,984,543,194,429,116,396,375,726,733,876,823,
207,082,637,030,174,036,808,675,182,295,111,921,129,513,177,016,870,303,635,
557,451,792,860,933,727,581,753,938,021,552,643,790,384,490,126,385,752,771,
873,385,889,727,837,485,636,951,341,670,841,488,222,431,953,769,102,280,789,
859,053,976,128,404,827,263,770,808,853,653,023,955,985,845,273,094,770,817,
418,599,317,954,398,736,778,001,145,827,765,315,473,617,400,920,521,737,388,
536,716,353,630,973,921,190,576,252,641,781,420,655,698,685,546,731,800,630,
301,061,039,797,826,185,555,861,075,637,324,161,599,151,048,583,208,489,306,
777,642,239,240,753,415,817,215,172,037,191,582,002,845,107,701,696,599,248,
849,088,197,229,987,598,361,120,302,704,740,985,115,594,582,857,891,815,762,
409,173,298,611,038,869,785,674,359,088,046,025,610,945,089,969,308,527,321,
534,330,263,488,596,136,860,964,989,932,410,585,229,396,933,590,044,753,254,
623,912,142,528,704,699,154,659,630,347,756,053,189,782,932,959,131,287,741,
612,710,940,761,496,584,164,704,165,023,181,737,822,255,012,754,558,357,263,
304,348,385,387,309,274,396,985,864,372,466,530,419,321,364,909,175,800,327,
787,660,125,575,881,966,443,468,133,612,147,209,641,819,223,793,156,170,587,
735,750,530,238,045,331,277,274,914,975,644,024,617,100,560,022,131,375,687,
315,617,055,196,948,007,111,670,783,374,169,213,727,632,453,511,335,199,483,
583,382,327,394,674,232,071,322,884,729,481,612,725,785,736,090,711,193,905,
128,459,953,924,594,966,417,491,492,473,903,726,173,688,967,071,695,208,297,
649,416,742,639,643,192,294,381,649,097,720,748,849,492,130,066,611,102,236,
047,211,613,940,736,476,223,839,688,248,487,836,248,072,621,544,697,208,624,
980,289,386,163,308,131,569,466,532,968,593,526,014,774,430,087,783,716,391,
128,070,555,717,127,369,162,729,047,865,773,359,647,081,619,159,603,214,674,
620,025,345,764,772,104,804,470,188,940,544,943,883,869,409,952,059,177,890,
375,934,013,862,243,416,291,048,065,018,350,080,097,422,855,068,933,528,291,
174,507,776,854,976,808,648,840,820,368,567,328,864,790,791,946,129,234,176,
969,455,759,621,739,293,974,872,985,891,161,095,685,374,548,165,901,600,631,
897,290,960,542,567,538,396,397,398,692,234,035,650,113,767,788,861,369,378,
653,053,580,231,617,087,913,373,464,377,669,993,875,495,331,147,142,275,932,
137,255,107,677,861,137,803,547,899,190,637,914,126,996,676,403,343,050,441,
050,513,125,970,564,206,437,357,559,954,620,106,799,859,146,230,915,769,667,
718,899,598,804,299,386,010,874,364,146,714,379,271,758,834,762,515,344,178,
462,140,932,520,085,125,661,844,788,710,861,445,457,402,819,134,805,206,630,
039,321,454,051,029,409,269,848,571,310,132,014,030,113,815,578,058,782,122,
169,393,046,510,869,743,747,471,859,843,027,986,842,665,572,182,570,016,811,
802,431,974,935,641,440,026,728,492,312,330,255,055,362,834,018,960,161,635,
039,535,623,665,852,775,183,646,389,666,233,219,208,231,951,032,022,049,935,
074,615,141,854,026,953,195,005,664,226,882,380,467,035,450,427,569,409,373,
639,813,518,674,441,606,173,185,612,144,524,678,256,004,426,183,106,708,066,
007,973,873,636,854,499,129,510,770,402,500,571,118,651,391,558,555,031,588,
883,855,011,912,488,383,798,374,925,727,961,434,109,458,697,580,208,026,104,
071,184,231,673,470,943,486,294,821,947,149,692,663,375,424,324,089,275,915,
521,210,244,702,870,493,115,254,894,532,554,096,507,048,463,719,233,128,290,
185,136,446,853,891,946,316,853,123,454,333,558,054,388,333,941,269,271,822,
408,255,040,850,113,727,440,727,285,541,310,261,654,321,031,064,446,223,952,
726,183,174,873,201,043,224,206,297,846,902,675,786,233,673,991,531,915,985,
865,579,755,970,449,601,002,676,164,598,253,727,112,289,882,519,491,403,070,
316,821,069,733,786,452,206,360,360,124,308,736,459,966,246,579,187,657,195,
583,876,769,428,530,453,705,710,518,391,709,347,209,972,989,810,582,107,027,
945,776,646,547,911,066,089,877,168,503,200,912,945,059,765,735,332,270,324,
977,218,562,527,022,648,126,726,415,486,956,343,952,108,241,370,106,433,288,
256,912,192,086,226,782,768,974,916,617,467,474,255,581,315,245,489,947,326,
552,960,275,747,097,248,024,699,414,426,550,338,238,713,415,178,256,706,236,
962,112,497,001,940,530,242,470,210,852,711,961,358,082,276,119,678,222,438,
867,686,807,935,421,189,147,611,043,432,413,391,116,564,415,012,230,168,750,
282,063,336,730,782,160,671,338,432,981,988,195,773,551,458,459,311,764,923,
777,951,257,782,916,704,975,583,278,200,319,992,939,764,875,451,502,961,427,
419,846,773,504,209,569,036,894,876,553,775,251,874,522,334,252,205,948,049,
044,205,587,533,423,694,082,897,462,581,913,280,989,762,275,078,885,539,498,
687,582,916,791,652,300,715,790,506,237,521,030,828,156,896,500,035,780,152,
671,386,259,759,529,218,385,120,116,895,827,620,870,903,581,124,258,608,604,
162,431,415,856,412,215,715,859,024,359,545,908,864,669,106,943,908,907,241,
638,082,436,555,861,061,242,503,652,911,863,001,900,245,101,126,547,950,920,
098,134,576,586,861,783,612,546,604,340,349,686,851,003,024,189,828,479,222,
211,015,166,820,258,277,101,534,932,065,923,963,463,471,192,577,458,536,945,
848,599,448,889,301,076,983,966,186,707,345,760,007,658,966,482,380,269,946,
071,887,967,173,737,845,239,241,915,063,910,793,229,943,732,154,425,229,961,
361,802,604,859,654,061,464,604,432,154,850,162,577,313,157,664,466,211,170,
162,889,831,035,497,184,097,685,405,757,782,954,091,132,232,028,852,414,898,
966,095,877,105,642,353,743,270,234,255,572,650,021,215,348,847,785,032,749,
572,674,639,340,702,572,834,234,316,079,342,036,029,435,347,257,512,932,870,
592,410,602,746,428,908,920,213,482,319,092,464,942,809,244,532,029,095,307,
159,396,142,328,227,549,844,734,671,319,656,002,175,727,188,435,064,479,269,
320,312,558,989,448,073,288,182,081,019,214,162,372,925,358,195,510,855,400,
104,200,596,231,721,630,184,383,583,093,935,597,031,130,773,240,041,439,193,
467,100,647,139,332,210,477,390,617,123,129,018,505,347,950,319,053,410,262,
394,923,589,385,453,752,004,945,717,877,164,570,523,397,033,049,308,967,964,
282,082,435,947,086,515,057,816,351,823,902,184,596,076,533,733,194,532,931,
356,264,364,885,518,150,181,065,113,888,781,950,437,175,775,506,886,849,563,
630,025,031,090,354,799,382,125,894,278,080,223,670,304,201,321,132,992,696,
365,325,714,024,302,457,073,543,420,642,951,930,217,765,507,559,170,547,398,
454,511,271,727,268,547,442,933,094,688,342,305,984,603,008,064,808,850,739,
184,302,061,281,048,603,353,872,727,773,952,345,039,480,280,375,610,663,450,
031,935,540,813,698,023,457,692,978,128,421,532,662,012,360,995,807,728,957,
726,469,185,777,800,827,933,371,369,430,288,091,891,870,864,624,720,903,118,
061,719,378,277,886,417,783,296,446,543,007,007,601,629,300,714,729,412,953,
443,418,414,454,896,574,219,040,047,781,853,210,953,738,650,817,603,420,128,
867,522,273,874,239,811,817,292,206,180,060,515,960,105,048,819,044,686,668,
496,387,380,215,878,621,041,778,277,932,378,356,598,667,204,828,779,657,906,
719,942,804,164,928,989,276,207,135,599,201,102,654,914,852,455,706,915,640,
095,576,884,998,263,362,103,835,632,037,126,927,317,968,175,961,696,170,643,
474,929,598,515,361,645,420,520,097,514,946,098,614,020,865,614,941,170,361,
846,075,836,457,626,199,654,362,941,448,605,264,473,590,717,385,380,209,799,
553,283,885,775,336,030,841,883,753,133,087,410,384,950,369,042,067,067,797,
961,373,507,490,839,797,848,987,754,221,361,958,965,455,683,363,328,532,511,
678,522,203,177,377,165,627,771,172,725,737,544,179,080,442,202,808,081,090,
040,623,163,943,468,427,349,042,676,195,169,978,404,859,236,690,990,976,748,
349,090,136,310,285,012,112,641,351,884,486,012,487,171,195,869,410,749,276,
535,078,282,487,703,358,976,978,734,626,101,758,914,777,997,986,824,734,343,
001,377,872,412,503,318,060,633,851,030,896,205,180,779,003,406,519,273,634,
238,036,123,055,460,754,494,682,063,830,056,103,061,133,473,468,552,899,992,
633,461,781,658,747,405,478,137,031,541,986,119,531,145,862,548,220,110,790,
734,729,818,770,603,011,835,790,809,635,789,477,185,996,417,268,934,380,065,
513,074,985,523,877,313,672,095,871,203,969,463,169,855,344,007,351,352,366,
233,832,294,754,741,672,805,024,312,645,424,899,077,602,641,032,885,707,226,
148,011,365,748,977,514,785,504,877,183,031,722,944,386,709,273,302,921,598,
510,618,273,738,521,428,759,588,346,695,217,653,521,441,662,582,842,217,341,
619,855,517,756,490,023,800,267,314,361,524,112,000,932,371,574,427,227,316,
237,412,256,472,257,217,141,309,618,713,333,686,999,317,402,428,981,379,873,
904,445,722,873,123,958,467,568,408,021,675,273,283,966,588,812,097,278,616,
565,699,721,771,760,391,075,553,203,284,207,615,860,262,680,326,612,040,903,
322,700,999,640,284,204,579,888,110,066,187,920,352,055,033,878,228,767,120,
886,505,490,352,475,303,405,832,474,912,525,162,206,981,342,903,660,248,426,
481,090,303,573,518,149,769,316,320,662,996,509,221,587,803,028,510,113,123,
593,620,599,110,450,595,053,774,523,081,174,081,866,507,426,221,201,658,651,
466,838,968,248,393,314,988,325,396,217,956,432,694,398,084,467,872,198,859,
408,688,371,788,108,815,674,912,509,758,133,959,928,985,052,291,139,265,238,
618,275,077,827,047,097,075,928,030,413,087,097,340,400,411,274,089,522,989,
177,996,163,672,606,916,705,321,616,849,666,674,691,029,719,970,928,928,210,
114,184,005,800,591,859,430,621,924,587,177,749,996,154,146,148,487,995,998,
554,054,199,856,173,812,165,650,507,190,753,193,446,980,682,040,445,905,231,
213,365,029,372,005,252,220,345,280,252,938,178,874,448,485,712,854,241,117,
695,623,761,289,024,551,081,741,206,526,502,102,861,871,584,241,375,556,208,
870,076,603,771,412,368,792,001,089,056,330,139,410,313,700,242,517,345,457,
580,984,497,315,469,462,162,010,366,163,360,322,240,048,181,845,932,915,566,
328,093,665,740,739,249,428,207,869,720,437,110,260,505,804,363,601,643,053,
586,190,708,972,544,864,051,502,743,857,846,766,035,649,726,050,274,031,456,
707,853,885,770,507,633,123,795,305,331,396,790,002,130,608,499,684,144,916,
991,495,505,433,704,241,489,709,412,434,530,949,842,140,097,107,173,927,604,
513,028,504,103,010,530,744,131,616,528,084,855,781,556,755,116,165,295,402,
980,232,471,399,623,272,397,522,459,879,750,218,381,507,162,464,971,416,075,
157,337,825,985,267,858,024,163,386,146,389,391,200,821,483,021,889,298,529,
813,548,836,598,870,904,471,998,681,651,163,055,921,264,813,012,240,942,196,
686,355,785,257,939,561,298,209,328,851,600,807,019,007,613,812,602,920,409,
076,967,994,609,451,386,000,017,434,294,364,522,316,300,303,985,567,778,992,
867,158,732,334,599,653,805,414,924,696,829,733,443,222,496,256,976,026,027,
494,371,259,035,055,214,268,151,575,125,842,859,288,726,275,469,149,864,472,
467,368,497,316,938,323,369,777,997,232,503,585,684,924,742,392,140,379,797,
299,297,872,108,677,284,971,100,004,225,127,170,335,591,401,274,594,250,714,
393,042,539,091,245,764,407,654,230,172,340,025,506,330,973,615,745,883,092,
764,651,178,401,480,599,372,546,899,854,094,271,615,796,365,472,362,934,936,
612,017,583,225,270,685,372,566,004,810,145,597,651,363,749,186,962,600,176,
058,869,935,177,154,675,808,620,361,417,337,778,217,678,354,283,347,103,571,
741,635,043,659,938,501,623,888,512,786,917,915,009,013,890,983,616,342,497,
829,333,898,534,628,189,541,929,369,578,833,741,753,021,104,117,266,288,612,
983,684,879,849,973,315,724,471,452,363,053,394,013,201,744,616,181,662,006,
395,346,672,725,605,326,722,060,218,619,074,301,632,768,803,627,902,794,386,
847,021,719,482,893,063,508,891,331,022,271,326,410,285,215,132,469,232,960,
309,870,591,877,642,584,045,482,789,180,993,158,827,190,395,186,164,138,682,
417,972,588,238,203,138,008,671,155,644,030,859,477,045,269,528,743,175,914,
097,813,104,684,565,359,557,222,329,914,357,604,261,531,811,783,156,126,034,
961,165,675,565,108,656,055,623,836,961,450,256,581,021,891,648,922,700,720,
985,052,186,472,455,893,086,686,547,656,737,087,054,247,612,834,490,026,870,
673,644,068,144,822,834,472,288,864,608,353,802,789,562,257,657,332,961,753,
893,396,825,715,107,403,292,628,269,613,498,716,759,969,953,878,346,635,365,
175,441,030,337,586,315,566,655,989,747,963,602,111,180,309,086,740,381,082,
858,210,057,461,859,157,896,012,406,341,081,916,321,866,185,859,562,298,211,
395,820,346,410,174,636,427,237,620,489,124,114,132,527,277,622,526,608,802,
103,849,519,934,672,144,302,167,968,748,379,312,056,207,585,212,059,906,847,
155,941,798,301,765,113,184,004,200,154,937,719,017,207,983,044,632,723,509,
243,055,709,202,538,563,029,377,381,494,687,721,069,440,807,283,842,606,728,
276,412,338,416,044,828,907,373,589,512,102,531,282,426,286,990,685,860,502,
422,002,508,237,864,967,783,257,332,487,697,683,998,153,946,694,953,575,037,
824,053,952,786,395,825,514,653,064,019,290,788,316,592,094,553,673,495,828,
088,933,985,228,592,675,483,791,412,857,475,147,957,124,170,695,725,502,383,
383,643,086,166,047,962,564,725,789,280,039,659,059,938,224,171,351,488,963,
463,580,408,496,985,614,889,092,678,910,796,068,978,997,741,047,421,311,590,
803,666,783,128,026,664,920,583,778,011,630,676,984,382,985,371,514,935,805,
835,879,101,927,878,897,425,240,946,167,272,092,053,760,015,467,334,688,723,
480,171,916,826,083,328,596,053,590,181,805,408,967,451,412,209,920,732,189,
854,204,499,548,150,872,408,834,598,942,903,635,105,837,602,115,015,436,489,
858,102,048,803,821,909,502,490,344,612,353,954,687,482,408,027,110,210,990,
101,005,714,832,122,133,600,993,212,498,702,342,303,261,722,923,708,192,840,
497,517,150,456,137,645,825,266,731,399,151,302,643,881,017,270,792,358,178,
919,644,935,398,382,491,963,359,198,831,875,826,017,782,326,231,523,654,453,
871,693,950,985,305,741,678,027,523,197,029,629,925,572,479,878,499,461,017,
579,091,074,892,306,380,310,607,834,575,093,260,409,875,803,733,495,579,827,
399,618,653,447,229,040,883,732,415,705,143,864,355,907,199,369,540,174,200,
915,863,586,149,940,197,714,318,031,668,733,412,091,665,142,671,351,951,809,
913,773,973,434,139,011,713,976,535,423,727,176,448,053,120,107,494,030,777,
689,184,638,346,290,032,129,489,510,167,023,405,121,335,884,350,161,279,114,
012,060,984,069,950,016,473,352,503,202,576,773,352,750,201,254,425,719,275,
133,306,436,252,855,434,168,364,485,267,165,429,362,029,754,957,136,883,925,
494,421,932,704,721,227,429,224,022,355,618,596,651,214,613,212,057,575,678,
248,964,552,478,247,197,977,544,230,914,038,604,337,907,605,435,528,944,099,
880,993,526,726,025,216,210,625,965,321,087,782,750,683,918,577,605,593,743,
010,980,629,032,012,739,608,031,909,534,020,550,414,924,259,286,307,688,600,
600,255,192,671,233,877,454,352,634,563,392,599,184,595,241,691,132,548,705,
009,668,072,902,066,536,745,374,751,439,219,094,450,114,059,737,567,875,100,
414,376,271,606,380,480,517,209,930,239,685,693,571,714,839,243,616,649,374,
777,788,214,913,497,722,445,269,099,897,966,046,806,559,398,321,029,463,025,
065,698,240,304,640,285,821,469,315,877,778,976,815,496,888,320,247,263,272,
363,174,501,178,568,124,479,947,562,634,028,684,090,132,858,163,280,920,731,
026,836,682,239,605,633,400,539,645,115,576,905,438,597,094,173,154,700,610,
718,396,813,180,779,078,098,601,849,431,314,466,804,220,707,498,957,407,583,
806,725,641,360,623,794,904,682,100,511,418,373,386,562,352,893,438,661,468,
658,920,150,203,855,119,211,735,027,208,816,740,695,692,571,346,879,996,382,
455,783,132,352,117,746,831,962,949,262,954,530,316,612,028,894,909,170,853,
384,570,533,186,708,136,969,294,324,476,823,328,099,602,807,331,292,391,489,
704,271,951,383,278,084,343,130,026,155,458,676,096,085,666,135,200,208,543,
253,932,414,682,269,397,925,717,032,389,206,242,481,134,032,993,943,525,446,
447,381,114,825,162,379,106,477,214,831,943,579,392,631,281,768,022,867,178,
023,156,759,855,351,983,777,440,483,206,847,893,426,633,308,131,935,862,947,
374,529,490,862,543,866,799,639,163,278,206,130,861,857,500,954,517,977,807,
604,677,150,335,879,899,162,711,010,270,621,507,591,700,629,944,235,475,119,
067,347,111,154,915,505,368,808,532,845,864,066,148,311,804,201,643,112,332,
670,573,118,136,086,259,148,276,548,306,466,150,980,155,588,453,382,004,116,
137,741,789,402,074,053,634,361,964,373,363,282,930,364,376,535,371,272,993,
317,866,173,971,189,603,437,079,163,179,458,996,841,090,637,328,925,935,610,
669,424,732,484,515,262,461,595,050,390,492,776,805,237,248,977,079,470,213,
543,717,143,212,071,411,799,636,595,830,566,877,195,170,792,731,382,175,848,
560,515,225,530,974,169,566,775,966,363,139,481,561,517,684,673,931,459,492,
430,299,061,828,671,416,904,603,688,753,419,421,702,126,713,674,717,024,806,
982,534,535,866,974,087,312,650,042,642,061,901,936,251,544,829,098,282,691,
457,736,028,686,403,657,250,781,485,903,457,604,665,767,926,613,681,655,279,
750,407,375,894,379,353,471,412,773,176,005,109,425,553,309,006,559,705,683,
881,142,249,101,128,081,112,997,382,175,871,425,166,258,746,653,554,085,387,
637,385,758,243,140,823,720,069,991,719,889,767,852,972,868,309,832,970,792,
190,307,730,911,608,613,610,633,204,936,817,134,228,313,719,780,546,701,826,
191,712,071,954,829,509,879,730,247,114,214,144,298,973,790,213,730,603,951,
621,702,856,462,191,105,217,267,410,102,910,766,710,939,086,328,101,941,765,
457,703,592,068,203,622,465,474,246,814,465,933,389,944,244,041,603,576,891,
933,233,493,068,270,533,174,636,545,928,000,575,175,157,881,571,242,770,189,
722,739,463,450,402,581,459,981,227,768,711,830,429,197,111,847,308,232,576,
263,641,992,229,102,167,445,599,468,215,452,209,278,499,412,391,406,153,504,
415,449,410,939,635,790,042,855,352,700,752,189,409,511,595,198,641,304,791,
460,295,126,549,452,617,601,937,567,701,830,324,151,765,694,560,744,775,747,
613,086,001,104,672,577,270,126,141,522,981,908,611,674,978,978,921,565,298,
687,625,140,950,541,277,653,021,429,813,339,024,425,839,789,678,670,065,899,
039,040,519,428,375,769,431,832,088,911,639,052,643,787,973,580,735,798,038,
034,318,979,800,465,981,023,436,193,839,339,127,337,370,610,667,458,139,533,
949,526,624,460,040,642,132,570,486,291,320,788,803,172,427,149,845,989,489,
555,515,871,185,406,658,860,553,268,638,214,617,576,761,201,145,455,911,764,
937,690,241,383,044,376,823,810,494,036,191,322,528,069,338,404,518,382,502,
772,486,026,362,938,491,793,646,008,325,249,758,442,122,665,715,468,518,962,
755,338,026,247,987,623,333,783,452,354,780,064,696,462,236,549,159,653,021,
575,137,610,926,917,880,126,364,672,229,193,452,673,475,876,658,319,791,076,
905,008,707,025,671,083,943,566,893,769,448,249,856,437,351,631,706,871,618,
150,350,500,663,857,329,178,421,365,498,151,649,672,021,667,465,832,576,132,
815,608,870,642,091,471,717,669,515,123,538,424,671,411,004,575,090,176,682,
567,217,996,966,218,514,634,417,305,583,851,070,287,950,065,065,821,473,859,
485,083,212,481,555,739,971,365,227,406,602,673,493,045,093,323,216,121,706,
930,530,442,345,149,458,038,948,671,239,316,672,389,475,866,561,144,671,297,
666,293,422,792,463,481,646,934,030,005,920,674,484,507,213,776,473,394,511,
909,054,661,102,054,721,808,215,684,492,687,465,611,025,717,612,970,926,290,
964,047,901,122,558,923,884,766,643,871,299,947,540,247,627,343,255,188,795,
250,794,746,019,623,946,849,248,263,874,673,903,160,362,617,381,521,453,954,
131,162,664,551,113,203,376,461,329,442,413,355,823,703,487,409,509,381,437,
672,213,811,595,748,609,153,075,866,443,103,088,211,939,221,072,536,401,549,
018,958,429,990,346,685,477,435,704,464,430,340,753,762,788,918,810,364,578,
264,111,031,002,235,982,888,615,683,295,775,997,748,251,843,952,426,253,468,
166,850,211,302,339,058,386,814,945,103,577,342,642,896,074,735,520,394,768,
165,478,623,654,373,335,464,205,435,873,938,701,023,800,832,380,048,657,007,
954,953,829,063,407,076,874,838,511,135,322,942,348,680,831,519,114,425,357,
320,486,473,693,248,721,267,155,709,042,802,996,012,735,818,417,397,161,490,
257,418,544,058,268,642,821,128,590,390,589,854,242,658,138,050,227,168,569,
226,504,460,351,866,130,734,951,478,275,591,247,513,126,186,661,187,789,128,
588,372,044,363,532,060,380,443,911,855,427,761,562,807,159,798,457,597,939,
926,661,128,752,939,390,983,983,434,571,338,566,229,358,266,689,912,498,790,
089,278,864,590,124,960,231,725,024,675,388,063,485,337,452,820,129,983,158,
102,427,599,954,773,369,693,480,018,561,411,170,370,299,632,508,143,220,459,
295,829,949,933,973,670,104,675,207,602,141,539,025,474,029,165,272,771,868,
149,002,384,922,904,242,694,586,927,501,334,732,705,750,006,044,103,440,468,
742,463,233,764,419,226,223,529,404,713,037,354,959,707,920,903,315,209,211,
427,032,807,251,978,087,439,707,531,716,000,156,452,419,409,282,638,445,822,
982,184,808,850,128,332,529,020,564,615,028,138,697,666,807,554,950,032,975,
472,628,637,516,837,691,572,946,199,966,269,008,733,410,790,650,641,836,819,
077,293,151,569,893,941,176,135,190,345,715,999,167,487,878,293,692,582,876,
645,447,309,874,945,355,017,283,586,611,579,254,109,089,509,156,961,543,713,
019,771,763,407,791,868,097,589,527,116,206,098,723,406,384,521,754,117,534,
872,144,656,017,370,768,698,875,177,025,419,362,787,835,361,800,346,622,753,
791,899,907,120,388,744,135,104,332,891,476,082,926,984,811,239,441,165,534,
685,073,219,249,067,780,451,644,169,811,154,220,994,802,779,325,229,976,854,
223,643,001,577,337,588,619,484,692,404,825,644,628,460,693,762,905,116,242,
034,764,482,689,658,863,806,552,639,247,007,923,743,632,064,586,807,270,477,
347,350,560,072,201,976,894,047,676,631,807,984,810,338,006,433,950,306,945,
266,154,499,067,061,684,056,292,444,516,608,106,156,673,254,407,820,922,710,
441,704,252,282,318,515,867,842,295,862,874,815,812,245,179,118,744,246,392,
351,761,304,579,457,568,717,949,345,771,933,333,854,335,936,250,929,003,223,
706,274,245,487,638,289,531,256,176,203,660,612,284,645,800,908,417,411,421,
602,534,850,413,782,532,497,806,936,270,593,595,064,926,161,857,107,951,069,
431,675,834,355,985,664,292,962,552,445,438,575,368,480,392,828,761,444,016,
616,833,674,948,759,146,523,962,711,438,086,697,349,198,682,481,678,402,803,
256,601,260,006,645,860,755,083,681,612,558,040,315,117,811,577,812,984,808,
073,335,881,037,071,365,029,945,783,234,117,800,313,010,566,528,725,666,984,
640,800,671,661,424,751,881,677,787,834,644,227,912,753,994,021,912,983,400,
049,943,449,670,174,530,737,497,686,192,726,080,427,888,272,578,295,956,611,
761,170,846,789,058,507,814,292,213,451,765,374,888,486,164,221,841,461,888,
466,543,573,171,944,252,558,857,593,739,854,790,528,800,214,361,576,088,569,
607,855,837,395,098,409,639,390,060,528,752,504,735,557,142,426,872,917,742,
065,091,319,503,804,395,794,047,451,211,830,745,588,605,409,001,707,172,355,
290,703,620,682,045,774,778,939,986,304,646,847,449,191,658,593,586,063,408,
650,897,746,023,314,468,594,368,974,942,488,308,557,833,206,301,806,652,241,
595,718,903,809,172,629,921,459,152,544,102,954,129,174,224,711,595,959,596,
403,628,145,238,709,147,202,459,983,744,800,592,505,828,106,629,944,156,078,
888,178,812,080,761,263,195,891,695,239,402,797,378,812,341,006,506,420,513,
689,377,461,691,894,503,985,024,584,122,762,508,133,657,595,537,339,938,451,
666,936,940,817,795,527,522,290,275,243,403,204,309,097,437,263,563,202,160,
355,783,695,678,553,960,582,383,120,257,033,054,182,608,855,877,988,936,534,
146,116,004,645,266,446,302,296,359,103,100,835,941,674,988,858,839,116,215,
104,310,780,641,369,097,620,906,971,717,180,718,726,222,162,500,870,669,262,
599,529,385,916,293,990,056,326,760,852,107,391,993,477,818,302,255,094,516,
554,783,241,525,859,414,416,862,563,490,319,264,870,246,853,484,422,850,647,
879,226,818,926,724,803,937,728,033,557,054,466,430,318,067,821,281,136,674,
314,239,143,971,696,514,557,678,312,573,651,471,181,606,936,665,988,139,512,
536,653,126,314,085,715,076,859,988,304,997,890,461,112,240,459,254,265,027,
822,041,551,861,093,175,702,809,042,883,625,173,793,702,404,181,581,621,123,
705,093,417,478,859,757,422,960,401,454,977,587,414,295,935,637,862,018,104,
977,722,078,102,347,618,354,070,848,581,488,171,454,733,056,017,757,299,960,
514,173,922,500,341,779,665,224,912,714,821,573,446,227,420,644,563,527,678,
707,407,497,956,788,710,040,248,560,380,181,442,460,617,592,985,007,610,978,
174,553,282,501,280,798,458,183,462,773,875,114,207,019,380,063,548,887,793,
904,371,952,357,538,338,498,175,314,240,231,360,416,449,061,022,798,852,669,
679,611,286,168,068,351,136,844,656,837,536,918,118,715,067,085,278,071,272,
910,814,664,945,329,020,809,035,846,877,476,364,427,850,104,342,240,705,387,
757,230,872,125,813,054,230,300,131,249,261,733,412,718,584,663,503,231,996,
173,320,606,534,412,947,820,453,363,740,887,085,885,934,198,690,781,657,615,
883,384,595,641,454,461,359,794,714,157,189,290,573,343,553,279,525,124,997,
043,688,489,452,992,816,229,823,255,353,703,768,643,374,683,998,726,862,466,
572,457,943,401,609,896,623,322,615,428,651,198,654,067,546,814,470,495,499,
303,005,944,887,759,937,440,322,732,876,792,551,370,751,669,031,866,986,103,
447,356,168,513,799,204,316,433,849,964,435,195,845,557,849,987,042,741,807,
400,107,331,461,712,449,968,371,786,285,344,082,423,725,228,483,931,892,361,
183,146,641,495,153,103,680,574,226,161,547,628,038,274,526,153,283,100,069,
083,614,211,644,791,823,930,122,293,357,075,287,384,988,829,641,445,694,738,
282,778,615,478,042,116,716,162,219,375,927,475,897,996,044,654,755,669,495,
585,469,251,089,816,874,789,976,753,075,323,673,441,058,320,947,960,070,073,
004,918,610,379,278,572,834,209,979,116,095,032,033,411,303,449,705,093,292,
876,718,008,859,865,022,087,271,857,344,156,161,245,789,533,746,203,831,892,
497,159,077,713,317,340,352,246,353,038,222,599,133,196,060,312,785,534,671,
662,630,497,968,716,613,148,736,060,085,769,153,524,324,703,143,203,035,853,
192,301,570,591,889,947,866,432,170,177,088,899,210,417,659,894,730,095,753,
369,299,799,921,757,123,496,684,799,268,347,726,504,987,816,577,936,680,051,
741,569,259,416,377,351,067,427,613,419,698,456,836,753,777,335,791,886,324,
319,818,778,174,072,618,590,012,899,238,487,426,830,730,849,040,418,491,171,
814,117,918,349,785,282,971,079,217,369,133,829,021,570,850,891,920,960,527,
944,533,730,749,136,522,357,683,967,617,245,211,853,171,451,430,700,263,333,
989,812,299,851,288,633,694,807,403,312,842,469,297,404,144,070,223,347,329,
082,857,520,745,682,615,469,455,352,022,175,819,452,190,503,580,450,120,064,
184,256,946,980,586,531,591,703,802,377,551,046,926,087,036,844,347,997,756,
427,157,617,940,218,537,797,446,438,678,340,692,850,232,559,324,992,826,480,
606,022,989,470,818,713,305,538,971,185,682,108,531,148,831,595,397,954,531,
213,108,794,256,358,366,447,511,541,191,815,874,343,759,600,124,035,811,987,
976,077,684,530,580,169,924,798,187,638,336,358,551,768,658,187,686,854,684,
201,574,442,574,082,533,974,462,973,986,665,946,114,224,530,531,640,466,149,
668,887,391,713,217,210,666,538,865,341,405,087,829,723,683,383,460,674,747,
351,601,575,320,478,251,601,866,656,952,235,957,401,656,083,322,721,301,740,
374,964,949,201,084,454,114,600,281,554,174,776,221,683,572,374,332,509,463,
778,925,386,717,087,986,616,404,786,195,670,327,479,292,119,253,931,314,372,
115,614,718,728,879,881,573,645,282,739,092,570,141,049,040,481,601,561,569,
782,532,273,458,011,447,040,873,504,682,768,731,649,250,796,782,230,724,681,
029,946,974,600,438,287,445,813,951,369,279,015,052,122,521,220,228,998,511,
677,783,829,131,708,348,321,797,758,795,657,853,867,635,596,552,514,785,094,
287,072,295,847,171,016,369,803,693,728,917,098,652,826,686,258,536,625,565,
821,740,622,683,513,543,630,334,033,083,433,458,255,923,852,910,143,652,384,
665,645,712,693,699,486,280,081,804,392,004,373,353,179,237,853,396,304,181,
791,250,348,123,758,913,256,661,720,539,582,684,499,560,264,087,384,372,208,
236,079,729,629,397,774,877,784,639,539,495,444,585,895,130,104,345,302,896,
686,609,583,867,814,626,511,235,466,568,817,660,835,980,368,182,179,185,630,
213,318,156,778,574,933,551,328,361,690,176,797,195,725,526,960,233,444,682,
677,242,907,582,732,790,757,222,493,653,617,849,122,408,492,541,067,249,461,
076,773,574,881,338,619,995,018,591,766,905,865,448,438,823,131,068,819,531,
862,029,322,720,725,042,329,289,233,884,198,970,392,154,040,649,891,492,500,
757,653,384,502,757,846,439,371,848,767,160,667,685,235,100,051,925,537,075,
609,607,072,547,626,980,825,807,004,220,550,067,207,689,407,391,529,053,909,
703,894,654,730,955,132,993,511,491,883,927,276,726,738,790,950,485,113,495,
601,306,680,668,797,501,727,026,889,171,240,816,505,070,360,049,392,194,345,
613,299,828,080,471,743,508,360,354,677,031,884,488,693,817,670,832,921,787,
094,957,973,107,140,810,422,883,394,813,869,547,635,526,954,115,992,257,328,
926,945,034,316,783,488,241,255,263,801,895,584,107,318,323,303,711,140,746,
130,274,713,863,163,732,053,247,920,731,141,530,671,031,072,283,484,093,565,
267,216,372,985,419,007,764,744,972,923,009,849,233,705,356,132,348,579,443,
518,996,227,455,600,436,478,786,094,741,103,527,794,345,188,550,457,768,751,
617,479,562,225,669,085,224,384,758,899,471,795,150,471,692,272,622,846,112,
229,994,242,962,256,941,272,977,578,525,733,014,043,594,500,865,565,833,499,
644,343,471,921,519,154,304,111,407,488,642,654,460,506,958,608,354,667,522,
535,890,086,272,524,703,627,391,092,714,620,526,695,443,528,748,287,646,534,
208,957,130,459,126,695,615,927,103,671,764,224,037,445,732,589,139,962,333,
168,388,695,906,764,300,648,680,514,132,228,348,489,281,541,920,709,608,873,
663,761,374,322,518,199,006,509,960,741,978,469,334,026,781,803,400,163,997,
638,492,718,776,317,739,945,763,316,124,462,061,046,891,419,455,212,618,257,
675,405,458,622,726,486,788,893,424,231,342,685,819,192,786,588,101,339,838,
216,561,131,498,452,701,191,053,514,998,472,739,729,682,080,122,462,311,191,
923,079,858,142,987,383,814,378,637,656,776,585,245,633,066,848,297,724,040,
216,038,503,953,613,570,371,923,090,897,203,465,162,086,035,078,091,530,047,
064,669,134,503,783,629,646,481,823,932,459,127,049,613,691,458,248,811,897,
709,757,050,431,607,088,318,236,193,365,879,184,564,562,730,960,481,710,132,
920,530,985,552,929,682,157,501,641,495,395,526,284,717,276,655,682,167,491,
380,134,540,676,046,919,387,340,585,234,507,627,047,015,011,407,509,823,812,
538,615,016,480,955,261,640,601,892,744,286,957,382,390,201,390,574,473,113,
207,952,369,747,447,486,233,521,056,740,053,799,597,388,780,188,841,332,983,
296,040,319,621,637,819,592,375,537,734,886,195,107,940,673,744,700,823,551,
083,629,174,231,712,032,688,832,020,555,450,485,392,181,130,748,175,760,716,
916,445,309,484,235,504,572,914,001,537,557,128,357,873,067,858,405,645,397,
015,758,070,947,534,214,334,912,998,971,941,305,573,279,717,962,691,218,124,
304,009,380,140,298,625,987,180,016,580,215,834,440,298,613,346,816,189,957,
160,596,449,084,604,149,287,217,065,265,019,441,091,939,601,789,893,169,651,
271,485,718,042,227,650,297,149,672,895,735,131,301,281,364,002,252,301,068,
277,998,225,207,115,948,070,716,226,258,498,944,087,937,527,348,297,567,997,
605,741,216,572,122,535,069,182,806,082,686,167,366,464,274,805,204,270,120,
637,748,881,149,148,886,517,903,860,819,225,776,287,814,474,796,681,953,767,
802,900,164,996,573,828,413,726,438,134,019,785,595,749,225,218,330,659,372,
481,968,052,142,699,448,130,297,373,451,541,864,051,779,402,855,936,263,158,
074,180,362,313,990,208,899,393,850,857,253,767,705,930,637,810,718,771,739,
202,623,886,088,134,717,287,624,503,309,426,325,947,453,093,351,862,828,009,
592,301,407,278,165,799,352,614,421,162,399,192,393,374,146,325,001,109,167,
225,880,960,616,920,576,319,138,697,261,969,128,710,187,400,908,928,852,105,
050,922,196,633,285,996,368,244,681,274,769,855,165,989,530,809,777,075,010,
029,926,669,073,510,182,714,470,878,439,089,600,922,355,821,443,817,396,012,
964,894,494,816,719,678,193,358,501,663,819,170,515,193,713,670,666,790,806,
771,777,015,917,312,978,349,622,151,650,092,221,714,083,928,330,057,471,966,
465,693,091,239,538,002,564,210,980,001,360,072,194,702,883,892,675,857,519,
681,616,497,747,838,653,711,818,186,964,934,780,930,158,130,999,289,808,071,
423,599,551,739,765,052,098,490,574,185,935,550,869,482,768,618,445,782,619,
401,961,430,089,596,258,158,596,967,942,998,650,760,463,756,554,490,997,289,
487,603,813,302,870,831,461,939,492,542,675,060,690,500,233,296,000,216,013,
642,080,046,667,999,179,875,660,666,760,155,975,146,898,176,530,917,888,046,
947,725,797,795,331,678,882,655,025,444,369,550,787,316,736,154,486,031,201,
977,978,622,049,939,176,546,354,711,565,286,020,982,585,790,013,532,584,541,
733,249,207,566,165,069,688,773,420,758,891,726,478,682,242,692,264,176,169,
778,956,861,109,432,903,395,098,036,013,737,687,235,727,275,495,127,329,713,
304,488,760,650,224,861,820,949,091,590,030,206,230,369,546,052,529,534,971,
008,334,659,305,753,775,937,053,167,319,031,522,480,500,095,657,295,919,844,
446,234,457,240,080,797,677,635,210,550,515,147,195,894,642,539,958,006,567,
530,461,366,553,216,896,917,081,448,493,719,000,908,650,202,661,326,388,879,
218,011,331,543,597,295,237,375,001,896,641,357,178,260,298,079,552,228,142,
006,993,288,889,614,586,340,809,952,600,218,396,218,546,757,417,930,358,693,
259,740,694,109,852,237,986,531,141,987,754,029,261,969,744,726,688,597,179,
776,650,676,733,058,385,208,264,771,997,024,653,845,140,329,612,427,891,570,
619,457,730,222,906,018,468,534,240,190,241,568,220,614,919,040,095,374,746,
739,056,659,486,718,990,955,829,809,953,724,119,170,746,030,359,620,592,537,
868,545,747,475,128,355,884,423,844,192,385,118,374,832,348,592,402,915,434,
029,506,731,887,115,025,467,918,806,384,610,766,902,815,688,007,992,533,320,
510,023,647,484,199,067,324,364,080,214,720,073,468,314,766,369,613,432,119,
190,635,799,034,320,995,810,741,135,933,886,087,444,560,371,002,022,679,256,
295,362,488,576,259,317,174,571,624,339,740,582,788,611,762,964,255,711,467,
445,266,580,693,241,289,121,426,911,705,028,578,763,239,671,108,988,907,479,
023,529,802,168,184,481,948,510,581,112,595,765,102,434,757,127,717,989,968,
222,317,467,504,967,656,039,803,870,747,121,584,052,689,478,158,260,715,566,
071,752,970,600,117,967,639,516,804,172,627,452,278,374,958,907,878,566,768,
310,528,326,221,918,444,535,317,586,081,238,149,821,089,102,131,500,357,387,
409,774,752,444,396,976,195,150,520,646,731,551,355,385,701,048,156,932,902,
494,622,787,938,844,912,608,319,187,090,934,239,394,335,506,078,284,721,056,
295,427,613,182,401,568,674,921,238,134,299,870,606,058,768,322,991,576,997,
552,699,152,746,915,622,296,225,457,720,080,542,633,999,456,852,359,286,095,
551,147,665,253,517,707,654,940,381,142,787,513,224,209,738,381,270,103,531,
286,270,419,276,681,591,525,992,872,965,493,311,538,093,025,521,734,442,425,
147,195,129,521,195,747,797,470,946,321,940,641,463,124,996,402,155,057,083,
130,531,066,714,667,405,860,968,459,395,644,799,769,832,327,133,628,646,179,
670,298,386,095,294,898,379,763,535,382,019,709,550,575,002,464,093,238,754,
482,457,267,323,776,492,360,324,903,366,766,231,524,279,204,197,643,880,657,
255,277,413,046,885,574,124,460,742,034,033,567,306,559,286,686,242,849,893,
383,071,729,365,194,206,530,439,839,453,970,157,812,192,400,332,596,892,540,
271,606,216,616,598,472,336,167,850,597,611,696,846,864,857,807,661,829,399,
122,806,864,012,260,107,227,759,218,423,946,878,559,787,926,508,912,966,780,
494,553,683,455,032,230,831,928,092,867,721,998,225,885,088,852,128,393,848,
951,351,695,991,891,523,393,016,380,574,414,544,278,694,514,258,940,912,461,
177,186,423,465,667,291,922,887,973,852,416,476,137,085,276,470,534,485,877,
211,771,807,405,586,925,906,900,351,575,056,657,949,474,242,356,428,599,932,
120,008,699,705,041,948,874,203,186,483,848,251,482,636,122,879,592,781,891,
011,275,722,352,634,623,880,728,965,320,745,599,876,290,183,963,222,592,674,
638,451,844,406,646,898,252,348,391,627,783,665,003,928,106,371,212,397,725,
065,234,610,520,671,839,799,136,761,798,221,200,241,538,909,466,549,641,564,
179,089,225,749,154,938,923,015,487,756,831,479,591,310,529,311,622,981,414,
118,821,124,743,058,057,113,937,937,940,987,328,488,911,044,315,616,730,991,
711,170,201,221,061,431,620,867,031,215,257,069,212,292,317,689,568,460,008,
440,255,298,930,569,540,369,742,483,307,079,694,590,679,590,533,008,187,782,
771,527,168,843,943,623,302,053,192,015,677,017,501,221,748,293,215,113,596,
216,244,887,088,799,752,509,863,332,608,966,236,691,387,081,927,092,863,163,
270,041,099,565,198,175,693,567,077,995,735,776,722,348,120,314,806,681,399,
225,940,255,064,427,228,925,049,613,778,884,193,721,411,026,529,514,838,947,
822,954,640,048,661,087,140,939,152,844,807,491,886,045,569,681,080,577,509,
233,027,782,477,879,686,991,918,899,898,116,377,840,740,563,664,270,280,689,
978,119,318,821,832,265,149,928,249,754,897,758,364,193,193,678,172,569,955,
195,620,061,627,575,731,066,110,521,184,100,007,459,521,825,956,653,307,016,
752,056,142,762,445,486,748,445,013,868,294,874,103,052,586,424,792,926,007,
586,852,301,857,685,565,936,897,282,111,647,488,285,802,836,610,944,799,040,
057,712,719,868,186,233,968,295,852,520,739,305,637,307,371,242,978,942,805,
596,749,161,686,778,883,673,076,648,605,001,233,798,839,693,572,968,600,345,
547,044,961,997,306,602,641,096,435,293,034,920,297,767,640,115,091,869,427,
390,075,615,988,785,672,387,504,947,932,048,467,013,536,746,002,483,771,834,
509,338,196,229,466,623,055,899,258,433,440,807,413,410,008,708,357,400,976,
980,220,691,504,314,366,858,191,145,409,195,946,394,539,341,520,377,622,428,
998,094,451,484,020,679,280,867,088,886,175,137,925,012,200,448,296,881,457,
069,739,055,656,964,237,389,357,141,483,021,586,489,742,029,808,265,109,235,
173,393,613,462,506,234,924,703,984,066,462,987,268,874,607,339,862,338,986,
050,449,207,978,541,792,704,542,077,163,334,739,722,124,069,355,205,705,391,
529,826,970,270,338,314,764,280,922,882,277,542,228,168,136,949,692,542,924,
720,132,021,142,143,019,868,914,885,630,819,163,130,714,039,851,316,530,461,
534,932,447,357,313,645,299,163,194,337,196,982,613,271,883,669,551,329,155,
955,987,216,198,089,059,240,342,127,796,300,773,650,669,004,858,665,236,942,
847,481,420,160,255,536,908,365,882,141,008,386,926,658,470,879,443,253,910,
207,288,313,852,726,446,987,258,055,640,578,921,516,695,710,945,737,155,550,
495,925,304,621,486,317,560,248,421,061,255,206,762,963,796,608,030,196,583,
776,177,257,705,295,028,431,844,437,742,068,236,970,428,699,405,000,518,370,
460,752,344,615,763,150,402,315,150,311,252,080,499,745,131,048,502,805,281,
143,489,614,992,476,305,163,412,087,063,679,170,024,848,069,835,698,785,280,
671,582,273,596,945,681,074,063,290,706,957,812,273,262,795,023,665,516,303,
376,073,832,063,891,934,830,061,135,971,109,327,894,724,382,847,281,939,244,
224,426,524,249,285,690,492,390,698,937,326,091,692,388,739,454,489,882,674,
234,373,532,647,950,433,604,133,081,586,787,152,178,950,239,276,951,761,215,
582,766,917,734,175,215,027,170,406,480,162,034,229,364,692,245,976,786,547,
628,326,112,886,281,298,727,189,044,481,855,984,095,744,018,577,555,210,098,
727,370,556,698,736,054,318,455,360,385,042,727,190,365,011,686,638,252,319,
060,967,233,765,664,737,730,119,436,890,817,786,921,773,457,946,382,333,347,
560,249,401,494,876,505,397,756,077,058,734,778,922,518,225,724,991,171,821,
873,052,507,783,837,313,813,604,429,678,230,430,664,951,509,640,147,793,195,
965,106,342,252,434,026,882,262,746,626,567,641,598,265,783,020,834,137,023,
621,484,193,663,341,478,459,510,626,198,869,597,643,776,125,505,451,894,518,
186,536,391,918,743,365,799,011,419,502,567,545,706,058,616,615,241,728,444,
211,305,432,733,099,232,539,350,067,593,057,604,806,564,149,682,589,556,173,
978,770,327,208,833,670,383,252,869,961,890,877,463,005,683,083,443,821,031,
591,267,621,456,504,843,142,439,815,022,147,856,061,855,547,342,232,211,553,
687,038,370,088,230,233,331,641,229,277,559,118,002,330,383,261,348,042,951,
644,712,194,789,786,440,325,790,115,348,980,260,575,522,717,686,810,383,308,
733,705,699,859,955,383,375,282,146,314,784,717,272,846,514,277,703,662,332,
868,770,875,536,767,209,782,010,958,774,654,105,585,058,056,285,361,791,366,
760,150,499,579,344,726,752,494,537,209,200,799,541,168,107,421,579,473,285,
447,557,236,910,462,862,322,872,508,867,414,651,560,910,720,615,008,300,396,
035,319,420,990,312,110,606,437,570,974,877,551,255,926,470,344,294,952,152,
307,889,428,111,211,727,591,050,450,335,946,657,530,772,374,757,233,638,408,
924,494,258,443,939,673,821,880,647,415,772,235,921,985,277,520,069,687,380,
840,444,117,630,160,963,314,243,225,259,199,614,588,421,972,322,516,960,205,
727,088,469,592,174,478,684,570,107,178,152,765,336,431,303,064,539,567,024,
359,138,111,055,087,488,051,885,697,627,593,436,170,214,630,552,823,774,214,
647,845,920,844,647,692,231,746,988,423,499,524,446,723,814,987,717,595,146,
040,042,392,393,020,941,975,238,365,203,936,626,911,891,182,556,627,914,099,
507,678,631,111,887,931,367,176,111,745,903,769,744,285,702,664,376,050,301,
304,115,810,139,045,196,289,057,340,332,061,829,425,999,948,292,909,441,322,
471,107,868,053,058,597,437,592,576,921,859,082,292,208,184,861,486,621,003,
699,272,583,342,391,201,371,728,468,954,489,525,507,303,946,627,490,801,137,
673,899,088,434,717,158,776,836,639,537,636,347,586,216,383,566,925,557,644,
737,140,278,733,930,778,684,082,884,548,527,098,365,847,573,061,842,267,826,
176,762,580,704,962,035,932,293,353,822,230,901,882,624,724,024,773,066,510,
702,818,067,812,673,416,440,681,578,663,685,938,243,363,839,778,993,086,791,
317,517,788,754,897,131,456,832,313,421,290,586,441,915,174,795,800,449,886,
605,294,051,567,354,568,087,573,801,155,362,096,361,821,595,643,613,340,877,
387,946,056,951,755,561,270,590,401,575,957,901,688,723,663,566,761,759,297,
439,502,668,426,984,700,910,563,533,905,895,359,923,424,832,531,923,336,846,
148,143,241,374,502,119,716,734,965,745,451,782,368,845,922,302,393,527,861,
122,743,727,002,249,590,112,206,464,058,162,373,597,766,400,303,504,258,200,
164,912,229,458,172,754,264,892,523,384,838,667,437,616,060,352,574,872,104,
126,612,991,436,053,537,361,244,786,266,824,296,856,695,799,768,386,447,911,
037,449,177,881,696,881,505,432,883,437,160,464,046,156,712,102,666,048,241,
640,027,256,091,341,846,382,602,307,306,376,574,508,213,494,542,916,220,928,
799,754,313,508,578,881,283,970,536,593,057,002,969,177,875,729,120,476,425,
888,775,303,781,687,541,991,941,456,199,705,574,577,498,085,147,038,545,662,
109,875,478,184,822,022,353,809,148,035,933,321,541,386,566,115,385,335,704,
966,622,789,983,485,926,462,965,037,351,275,844,861,626,987,295,671,665,226,
953,474,070,313,173,880,664,551,979,865,536,737,996,577,993,823,908,893,180,
861,461,875,119,588,586,804,557,242,290,136,782,350,987,942,458,714,988,397,
507,668,377,078,325,640,876,763,812,512,603,870,154,412,067,292,475,463,640,
103,917,714,299,096,507,527,228,990,039,073,929,435,839,564,860,465,863,413,
711,726,431,335,744,562,183,905,156,005,208,971,053,993,108,450,003,739,973,
401,983,012,328,468,336,195,866,947,533,500,748,391,952,293,391,629,932,662,
070,941,539,011,350,469,686,702,077,150,725,882,912,337,604,073,208,237,234,
519,598,475,673,285,210,811,296,932,911,951,239,340,828,737,138,422,731,028,
554,887,538,658,248,049,984,596,446,933,958,748,252,702,567,471,879,483,898,
457,722,599,918,200,698,440,909,482,662,712,552,017,522,885,277,079,681,822,
341,590,041,622,707,394,016,665,392,912,549,656,236,156,236,457,853,163,816,
851,225,264,765,123,615,523,903,647,232,422,959,594,346,252,775,400,640,306,
257,681,546,989,974,141,872,612,889,713,010,369,890,102,550,854,229,002,111,
730,405,155,119,579,431,490,547,319,841,519,993,156,513,865,214,064,318,275,
088,566,429,550,120,560,097,679,508,210,877,703,087,380,725,260,430,357,495,
658,119,450,993,358,169,456,498,802,227,625,993,045,757,401,087,979,609,381,
337,801,260,133,024,732,873,197,923,387,131,346,534,211,530,931,474,079,852,
118,681,544,251,515,014,665,897,408,006,665,454,515,578,160,404,583,948,591,
170,221,520,593,792,028,253,090,591,190,339,276,677,751,473,899,035,688,949,
874,805,425,479,208,867,421,686,029,667,604,585,292,379,573,917,650,428,146,
205,065,350,748,978,452,786,699,471,212,740,174,941,052,797,369,710,107,439,
598,365,939,799,611,055,620,048,628,349,826,382,073,386,990,954,777,082,601,
322,983,687,792,650,350,139,936,469,909,042,833,483,418,357,423,311,826,686,
931,629,588,100,864,287,058,199,189,059,062,017,856,500,239,984,695,748,366,
074,190,756,008,035,170,338,132,756,460,812,411,609,049,146,687,887,576,904,
348,275,757,318,534,121,532,931,574,063,681,371,644,348,527,152,336,894,917,
534,131,845,053,984,628,068,463,879,609,964,671,288,754,979,988,326,268,923,
229,188,084,137,244,744,727,784,305,673,657,082,993,566,448,622,522,786,241,
317,571,065,230,288,831,582,936,153,876,447,814,712,936,946,038,024,762,187,
647,988,832,604,449,738,128,220,649,925,634,305,166,315,885,892,120,561,344,
535,754,508,535,834,417,226,237,138,446,067,691,251,879,383,380,435,614,208,
743,873,577,918,552,070,733,314,934,933,834,257,350,078,491,603,636,926,505,
097,987,663,742,129,653,553,491,644,661,083,868,132,258,668,696,985,705,794,
426,714,661,223,831,970,627,334,277,933,061,732,071,207,602,577,699,485,201,
343,868,116,279,805,920,594,901,039,443,994,879,151,553,180,098,245,199,207,
910,781,519,676,406,822,190,032,285,002,372,313,759,657,336,889,372,174,363,
751,130,554,428,972,089,696,637,500,534,562,103,791,938,690,366,052,703,448,
298,007,741,470,383,912,424,482,356,461,063,537,640,903,327,423,896,748,766,
412,249,758,333,202,909,476,898,777,680,000,749,674,484,900,546,243,096,222,
300,759,713,729,803,943,976,675,071,568,300,781,704,323,007,579,435,513,168,
474,898,503,452,414,385,467,795,374,177,259,377,743,435,633,929,042,815,971,
377,368,043,454,737,188,316,699,010,865,575,478,698,399,770,046,188,272,722,
656,997,454,024,238,727,590,127,937,381,398,266,058,539,723,256,925,812,796,
411,014,715,622,876,208,930,795,510,996,689,751,195,327,320,625,287,392,869,
449,193,112,964,312,316,486,091,130,378,935,307,664,638,610,842,963,761,278,
050,952,217,172,596,136,822,581,241,518,061,014,876,618,226,313,037,816,862,
550,381,403,814,923,698,268,952,719,986,616,837,734,654,535,254,904,036,708,
073,804,051,860,669,844,544,607,258,818,099,872,623,296,845,408,941,338,613,
944,629,059,290,813,912,207,707,527,163,311,195,618,481,726,094,999,970,935,
349,876,006,272,448,538,012,589,472,449,034,264,813,100,845,516,448,079,094,
260,589,435,543,604,572,924,137,675,034,526,477,040,399,698,477,430,204,131,
274,053,530,397,152,213,213,906,695,590,763,787,004,876,796,035,006,013,619,
624,269,500,294,856,937,357,076,633,303,914,381,724,374,011,802,599,884,197,
998,933,904,666,450,429,070,906,327,547,343,394,467,100,414,573,435,116,734,
842,825,661,168,226,500,343,409,733,531,374,364,181,857,267,233,217,334,044,
430,556,689,369,743,947,952,990,413,377,097,534,518,355,511,155,944,284,322,
482,460,307,449,991,398,610,343,321,122,423,424,162,995,456,928,030,943,634,
584,847,923,561,831,647,623,722,302,778,980,189,649,358,128,793,079,287,137,
148,593,170,099,851,093,696,396,185,509,407,470,098,724,494,524,445,452,021,
874,688,269,499,066,861,467,975,918,579,117,186,527,571,065,076,897,554,740,
416,245,265,974,294,497,704,693,792,270,165,265,517,568,122,834,105,812,282,
528,995,132,576,140,066,697,842,942,293,851,377,267,521,061,569,531,494,473,
659,499,477,178,600,726,390,835,255,828,393,959,764,359,602,761,782,010,766,
092,751,433,046,984,769,999,802,696,136,653,576,564,162,022,305,385,467,895,
141,384,563,102,925,630,854,514,449,332,982,028,962,770,185,338,935,698,244,
565,531,907,438,896,214,159,620,875,127,815,614,545,076,887,736,368,493,596,
150,042,699,346,626,091,988,124,433,399,832,062,386,671,332,176,842,530,554,
064,105,759,418,509,972,464,990,217,070,438,760,939,665,978,760,478,147,849,
749,105,429,254,122,208,357,067,317,383,944,683,440,424,489,195,818,189,583,
136,021,960,901,419,256,650,172,867,336,977,604,521,960,285,267,104,655,053,
333,875,422,537,080,536,930,874,596,643,518,694,843,992,922,113,644,727,321,
474,614,024,142,354,109,126,211,745,839,873,031,289,035,604,525,438,535,475,
252,583,137,139,451,388,230,543,364,467,186,901,148,188,552,100,826,403,130,
291,117,931,428,381,035,636,768,397,398,795,409,706,146,093,479,186,820,852,
879,931,200,025,820,345,697,291,107,156,070,818,496,064,821,072,302,796,493,
160,108,459,628,265,194,761,923,251,407,130,866,660,089,305,194,799,039,513,
220,417,290,246,167,511,102,096,312,086,503,533,646,394,336,716,023,211,468,
646,327,530,270,884,997,511,075,092,059,461,242,426,071,778,180,159,020,985,
203,622,628,809,885,492,637,961,581,873,819,908,700,800,651,263,728,491,106,
086,544,695,019,611,965,925,437,779,438,374,087,937,635,419,204,588,515,634,
767,480,091,420,657,749,073,513,794,522,010,689,472,951,465,150,401,572,527,
958,015,994,991,310,957,491,698,608,692,120,068,275,919,760,130,203,428,713,
170,331,169,451,688,100,899,677,937,793,564,730,117,433,026,247,670,462,557,
922,890,473,217,976,071,301,888,494,995,532,557,742,989,572,009,337,666,785,
073,923,388,797,138,243,641,217,739,054,004,634,837,918,640,935,003,571,970,
538,580,028,108,449,076,374,536,788,721,871,654,308,598,878,394,334,368,340,
689,618,676,149,591,658,811,462,552,449,184,372,774,972,946,592,916,917,297,
120,590,222,226,891,044,272,180,593,158,312,749,306,582,303,636,826,993,646,
536,926,904,800,966,686,308,127,080,125,733,174,760,053,153,068,131,472,834,
057,859,688,641,602,722,958,358,009,605,566,958,544,041,299,168,077,643,792,
429,213,126,076,411,083,829,746,282,276,056,427,744,245,322,419,572,530,613,
083,568,256,435,737,571,892,816,424,950,983,202,571,291,993,533,059,855,860,
515,017,473,020,901,859,215,096,774,344,527,377,246,711,290,723,615,777,328,
645,843,477,284,535,684,371,705,818,483,551,129,903,591,707,194,529,763,944,
911,343,791,686,344,887,396,809,958,863,344,123,003,341,994,608,620,923,207,
727,472,318,427,947,134,017,373,197,717,824,988,635,563,260,427,785,414,067,
698,189,303,948,515,255,690,917,042,408,561,395,954,383,807,229,360,661,875,
278,714,106,354,002,877,526,798,214,888,472,030,391,399,465,664,105,436,755,
862,079,320,781,627,678,677,488,944,722,301,902,670,007,234,095,645,488,073,
956,824,496,630,494,704,088,809,214,170,843,776,071,336,586,690,883,475,881,
351,800,078,190,144,159,008,833,165,680,891,234,371,190,198,665,739,081,625,
483,726,018,330,486,952,228,291,142,659,586,582,048,661,386,539,226,445,174,
645,936,297,791,667,783,349,113,214,993,120,570,616,423,357,706,542,439,735,
095,920,372,754,979,636,366,713,452,527,756,602,102,424,936,711,682,097,060,
381,279,186,473,845,781,171,105,185,902,695,027,579,277,635,255,763,207,544,
109,495,654,263,195,525,960,815,709,590,381,399,302,561,527,492,968,021,752,
556,409,172,291,650,774,217,486,433,379,780,645,228,634,609,148,730,575,557,
911,079,737,250,806,930,954,793,918,671,498,583,196,140,253,568,319,377,664,
726,148,951,261,507,520,202,574,205,960,605,350,869,900,333,712,372,848,935,
745,499,695,889,753,308,441,443,343,790,307,039,130,572,824,534,712,564,496,
197,245,008,465,677,728,572,553,917,094,458,151,634,563,923,133,288,859,237,
294,093,424,900,066,783,880,559,433,762,944,384,553,198,440,036,398,790,984,
902,369,807,251,408,766,197,085,525,978,636,849,736,026,990,183,497,705,029,
690,520,747,629,997,559,443,424,528,143,339,050,133,068,194,071,606,480,025,
774,122,271,371,024,629,070,358,987,565,497,647,073,619,884,083,943,566,898,
607,859,874,689,900,581,291,311,422,685,278,527,840,929,963,371,644,193,612,
177,089,462,736,530,842,214,311,182,654,381,864,479,889,976,427,327,990,172,
655,303,983,067,772,998,038,082,591,742,401,505,515,732,591,655,886,596,981,
624,661,995,070,894,249,461,859,122,991,438,226,138,812,093,659,442,744,886,
076,965,020,862,376,299,364,985,706,462,048,126,892,479,447,772,088,132,417,
708,478,097,908,882,507,735,787,150,760,043,472,222,821,240,821,200,187,415,
156,541,132,231,219,528,434,952,821,009,908,828,311,802,652,692,968,580,972,
600,133,941,148,712,439,981,447,655,557,817,800,061,555,701,337,741,836,261,
379,682,883,138,812,381,498,701,416,076,910,788,539,103,795,016,441,122,725,
305,609,313,943,277,094,022,030,280,670,927,599,295,102,984,870,623,428,241,
761,329,399,082,222,334,285,525,996,931,340,294,233,816,732,312,667,395,745,
828,508,237,880,267,427,278,313,164,020,809,374,535,344,888,824,337,330,180,
628,090,352,465,661,246,154,691,069,886,458,304,576,710,604,397,765,173,426,
658,337,931,266,845,064,846,852,572,026,043,678,079,347,363,327,394,554,786,
338,737,735,048,485,012,694,934,103,190,595,335,804,310,319,972,441,109,438,
935,142,676,230,071,984,251,131,200,854,734,339,039,803,674,325,910,312,921,
961,011,298,019,342,944,494,990,746,023,746,106,586,269,381,616,879,692,030,
586,922,492,306,918,838,400,795,053,456,646,333,529,769,467,687,593,818,710,
131,610,334,793,563,678,199,491,804,613,159,743,110,109,439,975,054,238,034,
425,287,145,959,587,169,553,326,709,094,877,534,236,082,029,181,635,838,128,
726,935,277,229,515,306,787,623,291,496,732,841,667,198,700,837,581,162,133,
162,946,957,858,686,500,460,718,850,314,069,067,379,632,219,267,188,250,268,
298,490,595,335,632,175,670,663,315,989,311,666,557,976,521,772,494,265,482,
183,220,783,941,265,025,814,052,824,923,796,620,397,812,557,890,820,357,664,
271,206,575,271,665,129,829,325,810,928,068,213,981,492,438,592,132,406,074,
604,112,493,924,187,876,785,990,217,900,324,896,804,283,427,092,311,825,882,
467,697,248,246,487,095,912,476,941,878,796,493,502,797,142,854,423,566,922,
414,640,032,412,044,111,998,696,215,765,898,077,710,679,047,746,795,121,897,
450,379,569,728,589,707,894,364,299,566,577,905,147,063,679,306,581,372,428,
375,106,658,545,102,724,816,622,930,621,526,056,849,755,011,600,442,032,448,
628,013,700,562,349,985,051,119,266,487,575,842,793,084,168,551,546,731,513,
389,576,328,265,735,005,475,049,675,969,023,697,789,303,153,671,805,823,665,
644,019,299,299,071,021,769,484,973,185,779,806,853,060,953,626,498,481,403,
577,235,265,036,496,172,072,885,156,225,620,440,585,270,690,415,075,055,045,
315,010,358,159,250,246,381,837,495,106,859,009,828,852,940,609,064,776,436,
987,536,894,311,994,645,581,224,141,370,633,447,375,890,953,446,286,022,267,
041,566,371,713,563,966,534,411,445,045,941,581,311,784,279,915,981,087,303,
319,633,573,744,395,516,713,983,306,298,194,217,686,205,392,674,717,014,032,
083,868,933,237,941,852,784,937,391,935,522,862,513,076,111,882,941,245,236,
216,976,816,120,256,894,693,588,280,856,906,543,963,351,932,117,978,542,631,
157,393,416,484,568,625,367,872,015,403,154,951,011,905,610,298,181,042,781,
314,574,857,779,694,793,238,501,877,818,330,785,564,163,779,120,099,550,244,
166,236,273,761,424,559,425,469,313,433,429,038,001,611,817,834,389,574,473,
568,334,486,839,808,221,180,171,657,866,985,483,149,488,196,766,192,905,072,
427,730,489,683,066,840,087,501,281,198,356,386,134,316,965,732,404,262,964,
324,909,236,140,458,370,164,561,085,930,868,052,387,158,216,478,680,842,646,
141,239,270,524,467,782,833,368,461,967,409,935,972,629,580,543,864,871,445,
940,945,812,596,051,561,734,198,659,890,412,625,853,879,393,169,973,625,636,
726,384,750,019,532,967,497,195,171,607,689,168,877,737,618,793,186,900,470,
338,536,405,752,207,614,344,670,996,479,511,353,393,116,671,577,398,004,785,
753,251,098,350,857,561,887,612,894,107,114,083,614,021,831,931,637,038,491,
728,122,711,429,378,431,900,153,556,044,016,488,411,110,203,941,994,910,367,
655,924,844,764,113,979,618,783,218,465,197,594,427,822,061,205,663,071,664,
981,762,032,766,720,114,374,094,887,797,150,866,793,690,923,485,419,540,190,
170,884,775,161,172,692,830,474,109,098,339,418,952,418,615,696,291,135,287,
136,872,608,838,174,934,101,331,031,041,225,244,363,205,006,490,277,337,318,
458,946,362,265,735,688,144,665,984,115,305,725,058,727,603,370,542,939,213,
114,613,165,871,928,232,814,954,794,242,872,055,759,140,186,004,375,318,971,
318,862,268,588,342,478,058,043,898,659,458,205,586,535,724,038,714,384,685,
829,710,606,638,766,689,366,307,345,488,986,181,543,987,448,271,618,923,657,
697,725,842,671,729,791,234,573,786,266,005,933,055,213,720,265,335,715,870,
959,641,046,642,655,124,080,581,025,587,582,681,475,541,186,764,770,619,183,
663,309,925,018,994,735,323,569,816,362,669,276,529,031,336,500,475,826,750,
284,140,136,542,873,107,277,370,259,728,665,945,491,566,862,305,929,053,950,
679,654,160,725,653,806,036,992,053,232,884,354,108,534,647,285,331,666,581,
113,334,205,872,452,327,004,035,058,776,380,937,493,588,399,032,460,849,772,
942,841,193,838,551,847,560,066,224,122,166,298,369,409,232,158,162,950,280,
100,397,338,751,311,466,344,114,106,415,865,379,665,353,363,047,914,507,767,
897,735,003,434,810,604,008,542,931,855,908,756,531,308,345,037,433,919,991,
269,742,346,810,652,229,520,463,028,170,412,655,071,667,148,885,361,054,282,
487,454,653,452,411,756,751,914,535,890,364,735,752,117,363,131,067,880,304,
250,762,038,300,859,832,370,181,569,651,286,648,650,854,388,495,427,963,549,
895,055,913,918,327,886,808,800,652,119,566,863,482,163,535,321,062,507,371,
858,576,875,007,039,157,088,387,930,853,996,251,241,557,295,214,782,893,028,
249,109,981,954,605,367,102,814,197,835,604,002,576,838,992,032,868,911,252,
154,799,861,117,395,668,495,644,911,330,181,588,984,189,431,969,099,014,667,
461,900,795,828,473,457,366,425,814,678,925,505,379,268,453,009,395,114,899,
338,777,526,391,692,659,868,174,062,803,715,953,976,789,126,693,620,791,223,
330,491,738,852,657,634,923,904,930,903,230,877,087,915,433,173,248,252,837,
732,489,874,091,742,334,338,423,358,474,701,361,236,046,797,303,674,784,698,
657,277,789,756,675,087,840,337,400,872,782,763,395,018,017,589,113,070,630,
304,273,474,898,174,341,272,927,165,778,388,955,307,025,494,548,003,710,335,
191,248,958,262,223,997,588,599,560,982,975,716,476,345,959,176,366,436,000,
531,275,850,691,176,730,483,257,071,851,464,959,227,422,571,206,274,376,528,
773,949,718,924,739,624,743,235,975,005,264,315,538,716,912,777,888,578,085,
112,668,705,560,461,226,190,551,176,898,018,782,333,721,708,899,470,414,907,
882,171,383,271,695,653,127,135,209,590,405,897,794,421,514,827,779,652,156,
280,636,340,239,206,148,742,468,436,833,428,719,240,361,240,904,537,059,320,
196,523,001,999,904,077,291,727,944,093,787,406,644,510,114,849,971,103,145,
614,850,292,937,085,510,698,404,295,846,145,388,963,169,714,190,942,252,273,
903,285,317,753,484,410,585,317,755,990,008,559,477,042,762,830,159,221,022,
572,192,705,440,840,804,212,094,187,877,303,397,356,506,962,823,247,273,827,
398,877,609,243,591,289,483,653,957,660,579,906,538,124,781,661,662,255,342,
138,122,558,087,583,654,956,654,770,459,422,604,817,120,072,248,004,685,419,
426,239,308,413,484,154,605,312,133,150,524,960,842,008,057,025,751,582,622,
741,840,323,111,382,379,017,335,383,798,574,628,567,101,863,367,898,382,679,
026,960,230,733,343,018,420,752,237,290,050,687,003,191,312,910,628,760,904,
762,147,011,891,162,609,870,424,536,243,808,552,700,009,972,781,534,099,617,
044,316,740,882,100,200,935,837,471,273,702,399,221,862,025,823,764,427,922,
426,672,938,124,890,687,861,752,135,162,935,224,153,087,623,249,294,612,556,
841,286,665,707,076,737,298,577,478,007,444,217,649,080,520,913,409,544,429,
247,991,531,951,654,206,018,774,684,886,181,951,012,511,784,784,343,319,760,
451,060,802,173,735,379,116,242,210,768,473,963,867,694,457,518,211,116,267,
069,020,844,694,169,411,530,508,961,882,352,184,251,832,653,554,898,323,826,
680,160,517,881,467,884,215,729,273,836,991,183,193,038,041,790,852,514,207,
548,288,327,430,348,639,049,848,861,355,259,901,652,703,081,015,284,393,772,
603,298,648,023,330,343,191,845,170,469,083,640,163,769,690,269,524,370,879,
115,460,277,319,633,941,832,076,334,215,957,215,492,724,962,473,868,747,836,
911,232,843,004,453,061,695,840,938,886,532,987,624,117,185,651,718,861,652,
134,113,866,750,277,040,532,375,363,814,704,295,289,459,774,950,190,918,602,
651,202,874,559,787,096,531,586,259,518,156,183,139,234,434,216,039,661,312,
695,744,145,762,212,910,416,671,520,456,743,438,433,151,841,746,626,206,210,
963,405,663,691,770,892,737,059,053,030,834,592,947,898,628,209,519,709,458,
381,631,535,308,090,101,883,876,583,867,281,919,223,368,392,107,437,257,351,
780,203,145,022,377,495,481,956,977,084,111,719,907,480,993,192,938,539,551,
137,428,881,138,973,686,080,933,867,339,998,664,875,876,983,632,186,816,131,
559,267,133,600,210,046,642,351,164,011,365,884,691,157,711,854,078,715,032,
551,849,861,378,483,141,081,589,804,163,771,450,619,240,265,439,308,806,522,
778,689,732,263,337,475,343,560,996,548,101,887,313,073,580,536,704,842,694,
127,976,140,422,851,457,382,766,820,161,258,587,883,303,717,343,225,422,410,
000,846,303,915,232,608,494,482,479,276,919,521,441,234,815,602,413,876,682,
511,808,709,055,280,335,980,595,267,079,590,861,791,990,428,195,371,022,348,
495,633,280,083,152,928,112,801,693,157,897,743,449,118,964,751,857,946,804,
957,491,397,764,897,157,995,716,189,425,256,172,242,402,589,878,641,229,593,
199,517,652,864,328,630,457,579,969,830,122,774,334,368,198,151,123,929,547,
156,723,856,893,051,849,036,284,761,019,821,880,389,812,855,915,846,756,183,
621,562,824,287,461,491,620,208,462,095,981,855,957,467,715,339,580,754,867,
287,681,044,344,371,338,971,952,247,637,061,341,420,696,810,331,238,334,167,
367,803,630,852,444,216,378,925,882,334,661,267,658,510,867,859,762,482,444,
264,053,307,138,339,742,915,016,304,365,410,915,915,620,628,881,718,102,130,
074,439,477,264,387,885,223,169,117,892,508,623,658,491,665,118,468,755,413,
183,941,031,814,951,104,912,985,295,670,159,172,027,206,305,434,953,758,895,
106,897,451,368,754,564,317,886,848,982,746,889,544,552,621,198,729,620,705,
279,230,412,270,264,448,223,401,406,356,329,786,688,498,654,517,073,376,016,
288,868,271,542,457,584,830,975,679,002,958,811,422,886,198,365,145,440,354,
380,941,575,553,706,656,810,155,673,211,679,076,829,084,185,783,323,639,397,
157,377,195,100,175,995,653,932,552,877,054,140,105,590,059,781,967,222,793,
030,867,841,243,192,675,352,501,101,515,987,348,865,100,405,376,690,657,797,
423,588,231,201,917,270,759,724,696,620,334,624,125,692,420,283,625,567,702,
687,273,723,202,086,018,946,743,927,141,077,380,778,928,114,351,032,555,424,
450,576,258,474,333,250,606,721,118,640,473,835,985,589,118,996,942,980,401,
380,242,962,201,469,039,202,880,126,907,460,245,858,164,946,686,904,180,384,
527,765,926,029,665,880,220,591,791,993,629,252,930,525,175,831,647,434,153,
451,286,257,299,406,312,652,725,681,476,373,327,152,271,226,408,922,179,126,
561,027,478,789,767,607,308,958,833,192,270,684,020,206,522,832,269,063,828,
266,187,973,616,569,975,899,693,078,881,324,128,939,455,419,933,559,215,152,
985,876,028,311,111,858,942,648,367,676,488,577,791,321,610,574,567,354,579,
036,449,872,364,341,257,506,888,144,898,383,652,172,478,851,589,544,438,634,
763,977,598,923,161,502,100,678,779,890,446,115,525,819,454,028,518,910,407,
305,816,020,807,948,354,424,177,089,058,216,656,796,703,781,790,104,872,627,
677,507,175,554,367,538,129,568,365,172,618,932,270,085,152,792,079,678,558,
046,681,153,136,163,290,245,989,224,102,260,109,882,688,779,358,897,496,446,
253,020,774,043,732,614,608,766,179,229,641,185,510,942,853,187,746,639,090,
652,994,737,361,791,867,290,444,248,312,684,686,754,457,295,889,354,851,224,
577,724,129,493,999,745,481,380,526,037,078,906,433,459,317,161,109,337,955,
788,748,811,938,974,724,037,527,180,395,726,040,584,132,195,069,752,989,068,
694,562,604,443,570,870,533,974,837,987,604,781,595,826,176,928,548,667,174,
687,409,113,636,866,681,898,136,657,468,184,421,885,701,364,572,791,980,443,
949,823,954,627,949,797,830,077,744,650,038,218,285,916,816,597,375,289,023,
045,710,765,726,566,491,664,356,409,298,182,984,317,415,353,692,294,940,175,
533,622,448,276,213,196,032,681,088,649,071,079,100,119,457,727,983,270,684,
775,700,769,920,669,331,407,778,665,617,920,051,550,516,945,333,584,421,939,
825,291,431,286,074,884,438,403,711,786,458,113,452,769,506,184,364,139,005,
638,399,716,487,022,081,449,065,834,710,872,468,674,788,339,768,018,856,549,
862,035,049,807,611,307,471,230,111,517,841,846,826,759,186,265,015,107,159,
574,325,652,291,921,578,380,145,558,991,200,061,971,875,238,014,989,455,667,
455,745,460,991,977,114,309,532,517,275,884,737,983,941,255,217,226,664,655,
660,211,351,709,630,853,872,166,970,310,202,415,604,816,469,720,184,978,504,
171,488,402,892,719,157,054,998,007,341,733,343,043,411,445,283,198,337,648,
142,682,060,784,719,140,747,845,098,100,362,910,179,483,427,912,387,549,027,
157,160,172,325,278,408,383,377,771,017,284,740,580,760,869,293,705,177,990,
513,813,266,192,604,141,109,264,739,781,416,217,129,284,804,723,505,377,691,
986,537,160,976,270,673,441,030,703,368,464,660,041,799,917,669,133,358,083,
631,540,134,563,400,525,984,231,137,433,914,104,687,707,938,196,519,044,319,
703,386,947,118,924,842,039,079,194,709,100,180,451,957,774,563,211,394,608,
877,620,436,390,992,489,916,919,952,055,635,939,590,320,400,037,285,964,857,
487,845,896,578,736,783,867,729,488,916,038,529,630,349,375,023,345,739,688,
792,280,328,369,534,528,330,606,812,707,339,441,832,024,965,699,200,866,417,
153,277,327,155,390,266,095,840,592,184,575,861,620,334,707,627,376,187,898,
852,073,111,175,232,324,784,045,683,265,305,134,201,884,787,916,620,410,720,
552,452,178,021,624,899,933,085,277,134,886,203,097,326,158,606,844,035,524,
363,936,763,561,231,280,133,744,072,577,064,206,394,262,772,800,122,233,419,
599,256,756,219,433,060,508,224,364,719,653,201,675,874,472,632,242,354,534,
660,244,035,430,647,196,670,086,498,351,153,742,105,810,933,403,565,264,784,
336,272,266,438,325,323,513,130,242,258,374,824,313,218,883,937,347,964,427,
968,524,636,458,668,982,191,291,445,727,659,771,783,917,511,124,234,138,346,
199,016,774,639,280,884,341,594,787,256,833,578,566,719,218,579,863,912,274,
339,062,344,130,556,465,227,761,130,504,164,935,117,121,544,734,301,544,680,
606,035,766,565,075,991,570,754,593,506,146,500,673,880,453,403,351,573,249,
877,902,378,813,249,987,848,308,227,411,252,915,738,201,962,889,366,297,272,
733,581,010,414,785,539,949,067,907,592,751,887,509,482,278,224,240,137,181,
205,494,891,565,643,450,176,889,556,453,301,102,192,059,442,362,654,277,747,
176,185,222,379,320,691,527,824,023,512,523,830,617,381,850,043,239,151,047,
259,055,808,971,557,693,522,910,732,693,992,236,960,416,236,742,774,001,224,
066,514,566,133,737,628,507,785,323,733,401,350,740,080,222,155,184,081,447,
976,652,755,863,323,704,941,178,917,579,460,336,198,998,967,240,940,985,945,
682,645,488,172,813,932,977,589,039,593,172,989,247,361,694,088,484,741,653,
099,811,234,417,357,902,038,938,264,141,050,413,919,573,393,982,693,249,873,
067,300,938,817,024,900,525,553,237,204,809,521,938,328,837,333,333,383,123,
034,851,113,217,404,657,298,398,089,990,016,862,247,756,229,786,782,173,378,
810,144,346,207,587,091,324,043,681,418,909,121,657,278,742,284,639,333,075,
429,417,098,430,206,555,183,431,302,201,295,767,769,814,550,744,166,456,891,
123,464,094,916,994,980,795,502,682,191,540,890,823,364,623,777,382,528,128,
757,473,094,942,634,975,537,829,267,035,683,364,727,941,082,812,823,032,214,
965,967,985,396,651,112,591,358,351,460,761,798,795,349,071,033,663,574,215,
934,824,213,276,207,599,795,393,897,710,226,465,344,402,975,160,705,682,550,
464,872,632,000,389,755,095,499,036,787,853,265,593,778,732,262,921,009,594,
428,549,732,701,131,735,389,773,014,003,986,778,864,866,303,310,399,367,091,
220,954,008,608,087,284,620,800,385,659,852,280,348,416,531,413,268,368,089,
797,985,944,032,673,207,414,696,001,648,125,450,952,138,953,577,996,848,355,
532,771,419,778,378,870,293,442,241,387,659,069,112,538,620,208,684,252,019,
967,682,252,813,315,870,169,262,780,992,672,214,225,738,987,424,755,401,507,
735,744,118,004,275,615,583,946,146,778,583,675,504,432,372,895,645,742,268,
786,695,253,305,661,469,106,178,301,533,304,576,369,093,066,618,112,672,759,
545,375,835,314,578,001,842,769,645,806,165,788,042,246,498,277,991,608,614,
241,921,333,557,986,326,846,758,149,140,956,765,478,660,662,575,948,506,574,
507,005,608,116,134,919,747,523,905,457,108,972,830,228,540,060,229,175,210,
152,303,877,789,716,316,718,613,171,790,615,009,642,753,270,703,660,818,863,
900,166,583,796,009,868,097,845,932,116,526,874,823,598,553,391,572,021,526,
067,424,923,276,858,526,988,324,130,794,566,575,133,337,052,228,980,791,109,
315,098,865,174,819,824,383,841,366,334,420,461,860,583,852,326,724,303,012,
777,978,823,520,261,758,232,251,314,761,216,546,623,401,926,581,298,969,379,
877,789,291,313,176,374,224,006,685,445,897,312,300,941,819,081,644,738,666,
500,654,679,747,116,316,378,037,258,841,243,886,103,003,988,401,183,182,913,
255,943,781,439,296,347,829,928,881,358,113,165,639,329,901,583,521,743,675,
329,258,903,367,809,624,408,084,537,109,833,133,514,253,891,418,010,623,320,
308,136,092,838,356,949,504,613,454,803,525,467,611,238,173,690,843,943,278,
209,578,271,475,809,377,393,400,049,131,928,248,562,071,568,872,229,730,941,
630,766,350,293,498,922,500,956,828,298,790,369,253,542,599,803,432,304,439,
209,268,818,955,959,177,899,375,439,420,691,331,309,503,572,119,064,691,070,
824,939,228,336,360,583,547,537,844,116,683,593,652,420,697,792,314,055,525,
998,768,099,559,717,900,626,604,130,108,527,025,953,294,958,080,467,885,827,
108,442,988,972,953,740,858,252,649,534,998,625,105,171,701,947,124,382,081,
395,904,145,415,894,781,657,785,323,489,213,235,222,472,725,718,142,355,226,
893,549,093,169,210,789,264,018,703,654,347,754,792,554,292,031,692,175,022,
586,604,054,521,611,782,645,909,634,102,317,096,162,848,647,591,748,244,847,
647,140,092,443,038,541,488,421,321,606,642,964,198,274,741,303,803,114,357,
506,318,188,922,486,821,687,786,902,355,147,148,983,615,210,882,817,588,708,
317,145,451,446,352,040,076,769,911,821,342,962,137,578,518,537,579,638,124,
419,240,108,466,530,209,023,664,532,989,282,672,587,317,804,938,101,264,967,
605,979,372,275,126,307,972,229,344,961,167,081,093,793,536,997,430,566,135,
339,145,684,820,017,413,797,329,345,840,519,396,682,989,076,513,950,974,994,
310,500,970,748,760,894,741,965,889,660,041,863,553,524,549,743,619,590,028,
219,011,317,639,425,694,786,727,716,585,014,121,229,495,600,596,425,479,457,
512,378,305,168,696,677,811,709,451,601,360,964,008,530,595,344,625,537,131,
632,626,396,552,635,404,057,217,309,622,477,658,168,581,087,357,018,967,006,
004,194,109,720,399,832,292,085,949,035,891,726,760,369,322,957,919,780,597,
378,557,906,812,573,089,323,212,953,429,339,719,942,917,267,881,870,136,905,
379,156,021,103,912,019,473,076,203,685,962,936,721,258,089,207,527,824,881,
573,794,573,477,127,429,292,997,381,291,314,205,886,065,781,017,247,172,277,
961,927,715,164,874,437,805,474,678,330,463,955,288,279,629,149,343,929,823,
882,151,943,014,179,747,857,320,139,781,036,112,115,537,575,687,500,071,745,
520,481,680,159,137,234,037,067,776,548,334,281,143,699,533,221,195,959,247,
451,482,912,073,371,529,112,589,698,967,478,814,426,201,786,727,797,022,798,
451,789,667,147,174,383,586,114,324,716,813,495,888,276,066,298,636,528,627,
455,507,701,877,224,591,572,947,708,363,457,858,214,303,273,871,327,067,469,
080,042,746,779,357,493,223,260,440,327,904,437,500,320,138,094,199,107,871,
389,030,224,336,010,867,864,395,022,838,720,974,831,696,662,371,937,091,016,
009,765,248,328,054,238,990,118,011,987,270,848,293,841,495,448,149,572,789,
618,995,904,696,951,969,020,955,163,184,846,770,950,541,972,445,450,120,289,
911,202,329,691,133,418,026,911,497,565,256,909,293,565,705,696,503,595,569,
816,182,309,140,954,689,797,078,447,961,814,133,834,280,368,038,688,569,817,
119,960,317,475,791,879,216,526,349,059,754,758,797,072,645,231,135,004,659,
318,453,101,576,754,236,424,327,043,912,432,720,647,773,382,306,161,177,599,
050,738,916,234,349,493,888,562,174,043,971,510,517,957,989,457,479,790,360,
891,255,041,733,459,920,375,577,484,709,398,672,819,335,648,908,903,923,581,
932,806,921,527,095,429,229,973,761,524,662,249,393,325,288,927,429,552,444,
467,905,519,106,149,255,684,974,922,875,666,000,282,969,034,649,421,667,555,
604,419,461,514,964,454,938,500,525,168,152,614,696,789,392,508,320,596,009,
834,463,671,102,141,083,366,900,936,103,352,051,847,561,829,512,940,938,049,
744,967,555,419,941,932,407,433,889,585,205,617,400,724,812,104,976,645,177,
762,518,641,838,812,743,901,628,259,556,547,469,645,525,952,364,885,944,370,
581,027,454,101,265,454,216,036,482,253,985,737,082,219,902,255,646,863,564,
463,328,775,595,200,591,366,784,237,049,529,834,515,307,092,114,776,122,908,
227,783,750,524,704,911,021,383,220,665,662,643,086,270,570,718,955,598,326,
816,025,883,077,614,204,792,805,045,048,440,018,607,240,210,159,426,482,959,
104,208,863,985,498,718,275,720,678,875,967,002,206,849,859,668,092,510,225,
006,405,823,682,322,146,080,091,073,419,661,769,390,969,617,844,335,600,926,
633,519,636,281,215,817,007,489,216,773,940,107,065,951,386,942,012,719,905,
863,249,212,250,278,116,939,420,210,129,861,948,595,445,795,207,533,084,887,
203,529,332,625,371,017,569,909,287,682,765,031,023,850,186,396,653,231,109,
825,676,254,142,860,663,712,838,826,981,223,880,300,291,423,163,004,402,278,
234,941,220,430,689,146,680,916,848,448,550,573,008,314,163,405,503,833,785,
760,323,049,307,083,893,787,890,565,188,752,147,249,422,726,364,395,622,027,
772,134,075,820,066,257,553,736,832,923,553,325,932,932,689,508,878,569,234,
250,467,623,541,920,233,480,467,589,296,592,774,725,005,507,880,266,027,969,
196,178,763,200,328,089,064,001,670,302,304,098,130,358,951,727,682,356,225,
752,108,216,371,353,733,705,916,537,944,667,763,493,292,039,975,896,619,144,
867,017,049,466,586,530,311,354,345,056,723,915,792,062,457,870,134,902,715,
488,655,632,132,807,627,142,788,768,064,131,048,189,105,328,689,659,802,152,
920,574,487,464,456,876,231,545,358,072,022,363,108,602,637,680,179,926,357,
755,506,862,378,453,343,646,141,151,269,509,539,342,039,986,156,526,999,315,
771,852,221,629,637,336,311,789,599,843,629,564,191,180,054,668,977,630,792,
277,484,433,655,253,018,906,637,614,644,910,623,766,330,443,649,976,419,808,
630,252,378,334,058,219,797,385,854,313,616,556,400,315,463,482,480,761,579,
451,300,202,268,929,679,384,807,772,252,489,202,180,215,077,144,925,387,742,
259,467,831,870,221,915,184,812,828,713,012,402,286,935,935,911,421,894,769,
916,351,011,888,682,368,884,050,916,803,372,024,391,562,452,324,819,472,422,
212,137,398,659,851,736,977,322,413,828,420,241,367,687,484,879,785,847,131,
350,165,634,196,713,281,795,038,674,961,451,747,058,214,234,228,098,560,351,
184,620,775,882,902,407,022,872,559,221,397,439,006,086,083,082,478,070,487,
854,913,705,548,571,470,825,662,530,515,238,963,994,318,646,402,572,588,122,
555,595,605,861,377,288,948,885,018,253,538,817,532,669,008,717,413,907,912,
001,883,246,461,917,322,738,734,263,491,867,738,238,728,252,028,031,320,469,
993,618,300,112,152,257,523,619,385,693,871,655,188,658,331,015,043,031,656,
933,669,845,114,183,254,021,442,033,616,239,623,564,001,504,287,580,490,984,
991,995,498,476,435,770,690,391,368,938,252,373,989,206,577,263,030,899,175,
638,327,359,975,418,011,614,224,208,335,673,135,939,788,485,779,912,670,371,
724,781,940,380,641,185,321,576,995,295,909,947,466,686,524,200,889,535,366,
766,423,498,949,800,472,220,743,628,429,182,218,143,521,952,697,365,924,356,
542,838,454,158,368,114,317,068,955,422,946,080,801,067,873,000,288,585,161,
649,029,772,192,752,910,145,315,264,524,389,990,080,323,365,397,586,454,968,
568,554,433,814,312,805,838,505,988,567,651,326,113,983,709,553,434,720,304,
989,132,912,162,521,969,209,186,137,798,962,318,954,724,850,350,740,746,839,
081,706,016,667,543,246,010,708,170,471,245,845,696,794,749,147,136,130,317,
989,556,295,508,627,668,341,639,932,070,803,022,248,408,908,714,880,375,964,
818,131,410,946,335,755,101,513,045,691,283,713,151,147,741,296,838,427,100,
570,841,392,958,632,773,479,096,860,839,190,176,218,525,140,779,154,528,685,
509,942,186,782,627,827,370,234,911,115,352,690,834,031,910,011,479,080,498,
750,555,253,628,226,719,616,894,068,639,621,334,891,650,069,236,195,912,762,
994,218,062,724,315,536,539,072,772,544,249,647,648,110,837,905,983,919,970,
060,368,357,501,183,624,335,440,386,354,436,093,017,228,560,228,995,384,827,
949,299,957,364,645,415,115,258,258,343,112,894,550,934,598,717,748,878,995,
250,986,754,928,296,070,724,900,458,494,045,415,554,725,939,465,167,158,191,
123,603,515,802,506,966,321,202,735,040,672,948,668,750,560,661,601,990,621,
249,621,428,840,978,105,411,338,735,036,262,892,111,460,754,771,271,581,355,
930,505,755,227,604,346,415,108,168,323,533,486,840,778,946,523,508,791,737,
201,645,614,338,913,306,013,041,771,430,343,204,370,430,184,818,301,158,939,
880,126,911,341,025,235,595,288,251,569,801,276,934,121,798,871,454,141,272,
062,270,481,376,882,476,696,001,048,408,474,441,703,827,339,672,800,007,008,
455,000,412,891,115,647,013,279,618,547,499,933,439,739,886,434,707,955,549,
503,066,116,191,200,107,451,135,737,475,337,282,296,312,882,222,060,977,309,
807,962,848,557,133,694,491,795,955,076,813,476,232,055,233,755,795,125,183,
170,042,389,294,254,489,444,258,625,646,886,118,320,901,798,909,023,389,420,
009,073,315,532,010,901,787,698,199,235,087,757,995,779,746,063,207,201,895,
023,262,775,455,047,789,876,260,088,618,483,826,445,669,305,256,375,386,053,
680,854,457,047,075,921,825,410,091,739,524,061,105,545,185,235,810,482,271,
644,900,516,134,504,751,346,688,942,288,851,529,955,540,945,931,789,673,638,
596,170,493,276,477,782,518,942,514,340,764,652,088,874,362,535,609,058,184,
038,431,031,776,358,339,119,125,297,495,948,608,427,047,111,035,567,319,836,
816,850,442,019,126,842,897,915,171,509,563,432,790,928,240,564,663,489,253,
332,357,599,286,749,216,804,464,370,383,043,494,877,389,889,742,513,914,947,
288,481,767,610,089,310,125,403,780,626,311,938,012,436,004,148,134,429,188,
370,030,482,636,111,920,073,298,693,453,267,518,441,840,653,157,156,340,640,
774,403,158,353,833,419,857,500,310,701,922,804,202,077,359,383,532,164,861,
304,735,600,238,355,090,910,782,128,784,380,349,147,891,976,088,851,786,099,
034,840,355,862,967,818,000,021,653,842,928,762,188,656,998,533,788,977,644,
158,177,718,505,359,279,537,848,698,515,811,539,633,942,355,195,405,874,906,
930,588,442,589,187,920,727,315,923,419,763,262,070,359,786,653,891,514,160,
279,942,702,751,152,728,652,916,527,775,931,102,396,904,156,445,077,857,320,
076,318,028,114,037,588,958,363,135,303,088,062,867,454,367,589,888,059,688,
560,671,944,066,843,561,820,136,480,869,571,345,003,063,189,673,580,432,251,
063,042,003,300,069,347,256,291,314,395,729,910,642,436,915,747,868,847,517,
326,809,915,862,943,832,521,893,532,487,858,654,525,015,837,295,855,668,727,
248,258,697,683,301,196,048,537,529,607,060,331,836,321,324,047,697,896,064,
211,590,440,312,377,447,625,967,130,676,049,844,730,670,935,875,403,557,076,
108,007,237,461,469,349,288,096,014,275,266,594,375,562,308,526,368,102,775,
816,782,492,772,394,344,714,601,754,347,862,243,914,094,413,214,014,418,591,
555,044,709,169,613,682,913,478,763,523,762,328,521,367,510,908,600,869,148,
689,618,188,908,787,280,222,219,605,073,050,158,405,098,417,881,955,850,315,
579,439,595,926,057,718,424,158,089,730,308,822,442,013,790,992,487,546,916,
065,424,209,883,011,482,550,782,019,913,463,145,820,624,662,489,016,612,442,
179,933,558,743,276,215,758,305,135,069,770,452,221,885,888,800,098,769,954,
763,340,544,548,603,701,162,492,020,036,152,951,205,732,409,602,256,247,381,
344,395,734,547,620,673,861,699,869,628,453,479,112,500,059,573,277,126,056,
280,834,128,561,873,429,681,419,992,370,924,461,057,857,916,768,039,978,251,
629,317,538,856,338,149,122,666,097,964,374,005,739,727,139,385,999,014,870,
001,391,174,031,558,405,873,879,341,739,810,082,418,433,667,991,841,227,508,
977,226,738,815,742,323,017,586,009,066,392,723,902,274,291,006,949,421,977,
246,165,393,018,223,818,570,644,021,158,702,587,015,679,744,756,958,125,599,
420,602,672,558,187,223,868,599,873,394,044,529,067,915,195,122,281,093,562,
894,904,076,333,569,069,878,044,012,642,428,515,103,513,329,088,330,085,558,
965,316,610,892,679,199,777,086,612,176,782,560,133,401,869,529,114,707,432,
217,760,789,884,913,547,301,910,387,707,361,060,769,208,586,593,761,049,669,
338,348,731,719,973,031,763,664,545,532,427,297,275,682,856,336,538,462,016,
872,092,077,918,213,822,191,959,336,273,391,008,815,288,493,643,797,223,396,
144,296,434,118,525,821,822,543,408,651,307,161,972,102,405,580,795,943,107,
268,754,324,747,290,997,671,623,954,382,496,427,551,365,308,472,220,822,888,
228,639,170,877,683,470,620,838,911,454,329,082,038,945,535,207,688,790,686,
203,091,597,669,313,535,677,588,285,547,741,212,930,993,048,134,094,465,062,
298,334,049,436,320,736,008,103,331,253,847,797,196,207,085,686,862,158,793,
508,353,990,888,038,977,077,273,183,922,330,823,807,515,121,260,534,325,498,
858,112,074,577,910,547,004,635,051,110,395,104,910,068,052,705,233,781,836,
262,319,014,624,294,558,656,482,677,290,199,122,221,942,859,302,499,741,944,
158,589,255,299,406,288,826,560,603,587,223,355,229,091,183,030,569,905,327,
109,282,118,196,215,324,020,820,948,294,584,916,786,760,936,418,071,292,877,
758,874,067,282,180,751,656,936,789,166,463,219,069,621,700,506,605,142,844,
479,445,543,979,077,740,858,721,037,508,657,185,280,710,023,921,272,618,871,
178,872,112,703,411,369,053,869,985,247,151,757,059,073,125,479,654,392,028,
017,100,505,943,738,946,097,069,414,716,959,421,401,167,547,777,821,081,454,
730,093,204,135,584,172,586,954,021,531,550,967,745,139,231,785,495,287,317,
435,070,228,167,299,708,382,437,416,479,820,789,901,647,045,268,185,344,986,
820,768,432,881,884,173,713,248,879,180,133,358,596,969,737,712,519,352,258,
903,706,406,138,991,637,595,750,022,595,977,377,325,493,670,039,805,593,713,
372,976,401,586,158,171,461,038,075,563,651,221,178,683,125,060,039,518,784,
006,129,761,041,611,259,076,485,419,491,970,073,550,644,142,115,948,688,710,
270,183,092,717,848,005,426,418,570,584,681,694,763,269,164,775,455,129,096,
376,799,236,837,725,726,180,959,444,747,116,375,141,401,808,906,917,442,974,
988,809,444,488,044,727,625,976,065,712,285,237,136,011,683,262,529,386,471,
939,678,810,918,319,021,728,561,707,272,991,128,949,507,996,866,566,758,826,
260,998,606,399,421,135,819,588,197,267,079,486,632,564,526,995,912,734,844,
496,095,947,766,717,997,660,160,203,815,177,305,863,686,609,430,048,721,978,
705,135,283,104,578,936,272,180,899,882,035,961,534,912,869,763,585,326,225,
483,244,389,901,379,345,664,052,749,065,213,252,216,309,152,589,945,717,943,
038,836,094,651,814,533,795,135,328,661,016,681,564,671,469,842,689,245,890,
097,247,573,637,979,004,768,646,690,596,177,653,146,669,703,368,637,657,156,
253,899,466,717,145,443,481,262,746,341,649,487,396,918,412,542,798,736,544,
249,816,865,832,771,225,336,995,750,724,988,030,688,968,566,835,644,342,093,
478,188,562,144,457,532,966,865,000,272,126,678,671,014,222,374,525,332,524,
294,511,853,404,594,444,291,020,155,307,107,218,822,788,677,296,607,533,667,
136,644,642,298,901,992,666,867,525,579,743,234,182,804,906,251,916,368,508,
734,007,197,255,957,123,010,281,614,792,972,346,120,257,901,017,846,899,259,
871,222,446,387,786,920,320,308,208,531,154,504,094,789,745,141,744,770,054,
707,039,009,179,560,535,113,826,463,127,252,085,749,143,022,492,711,706,474,
850,271,869,979,205,564,100,377,870,060,409,352,279,312,173,785,917,464,727,
320,396,852,029,397,122,667,388,807,972,306,967,072,107,782,633,462,333,043,
344,255,719,194,629,005,106,362,646,905,559,585,634,167,169,649,890,280,609,
729,535,026,823,722,036,696,741,832,773,515,407,212,158,031,792,498,196,417,
869,986,413,026,792,844,578,563,256,589,416,055,603,839,980,987,803,910,040,
194,263,200,733,995,540,196,948,492,988,862,265,692,051,083,022,025,081,076,
571,345,988,178,830,879,712,652,251,863,917,995,253,101,628,295,293,020,612,
087,315,387,547,662,529,585,915,513,484,116,224,249,575,378,612,656,687,956,
111,541,637,440,674,263,729,813,615,582,264,786,126,342,313,394,978,715,344,
401,822,293,811,954,313,807,295,499,590,504,071,006,334,064,294,092,213,181,
252,797,375,752,912,860,996,258,022,976,091,608,003,124,922,970,898,832,484,
066,473,448,118,711,150,917,531,667,117,076,972,849,100,156,655,014,433,580,
110,674,493,905,344,520,294,097,400,252,647,126,028,750,613,687,614,172,681,
874,566,087,405,937,831,871,300,343,627,100,121,110,278,589,255,934,342,839,
110,183,512,375,061,400,007,772,989,396,061,221,236,902,292,942,714,661,451,
710,361,938,985,648,775,035,766,949,474,520,556,760,852,503,631,915,062,896,
097,720,769,016,452,528,376,806,845,656,598,185,460,289,341,182,568,937,479,
470,179,482,460,032,034,324,867,886,894,997,591,551,450,876,901,884,898,962,
668,336,973,953,264,845,400,115,598,139,231,699,693,017,356,874,067,796,224,
224,667,012,062,684,174,088,812,091,632,885,196,336,926,211,537,483,127,559,
177,531,531,593,190,582,885,423,799,607,608,091,867,099,164,088,159,186,545,
155,012,834,115,370,094,239,094,081,098,854,076,399,083,752,717,279,760,781,
539,047,884,898,634,982,136,871,753,229,378,176,126,310,456,611,628,681,756,
591,192,386,519,120,431,593,357,322,555,571,677,038,233,069,329,310,901,813,
952,093,775,167,792,079,757,115,006,131,596,141,782,327,796,972,749,848,062,
604,830,040,548,194,575,427,306,516,075,982,115,105,030,752,904,521,516,549,
066,169,171,689,117,733,876,710,004,698,963,166,089,467,998,304,876,815,006,
952,076,672,783,955,087,548,636,377,998,135,043,628,660,234,252,052,826,175,
820,930,114,338,852,554,989,047,398,420,744,547,219,373,266,071,320,174,046,
979,034,807,665,231,122,747,426,079,745,775,929,534,868,374,417,841,309,711,
160,636,719,462,022,681,960,700,382,548,532,227,667,844,209,658,964,409,579,
175,125,331,343,830,988,396,747,332,727,010,046,011,025,801,046,089,989,269,
682,643,328,248,275,029,754,726,257,888,990,721,205,123,285,792,447,814,743,
371,817,466,385,534,586,909,369,845,080,484,405,315,473,638,859,800,478,042,
080,609,935,044,963,382,137,065,300,386,213,193,571,841,143,390,123,565,082,
718,712,798,981,868,846,155,256,331,106,755,419,995,609,263,006,002,744,607,
591,778,853,041,095,911,255,499,622,551,801,854,795,103,109,570,001,373,484,
860,144,078,559,688,859,105,023,995,016,617,462,376,348,982,947,833,805,502,
187,068,843,555,813,166,630,469,505,464,401,429,462,892,726,748,259,279,953,
862,470,355,296,476,878,768,340,154,948,107,093,182,975,788,590,925,396,606,
340,115,736,142,020,701,667,505,081,161,717,285,731,033,909,184,835,196,748,
809,780,562,060,576,213,621,519,238,616,644,792,049,307,682,042,499,857,879,
961,799,967,120,698,574,335,781,791,993,348,018,090,622,027,105,860,065,604,
431,989,318,535,412,080,172,894,391,171,332,735,331,142,801,161,372,952,922,
463,916,454,463,524,108,330,418,178,513,918,144,082,342,707,112,582,773,750,
871,478,911,529,087,877,979,130,222,598,169,473,546,628,076,368,584,732,025,
875,137,641,905,068,471,256,712,994,200,417,226,029,253,162,758,385,528,428,
829,947,165,068,307,632,034,585,065,896,866,895,499,159,535,577,075,576,273,
730,727,431,313,540,095,797,460,372,121,179,834,226,105,048,899,511,298,762,
084,413,960,865,731,331,748,267,959,936,882,155,331,675,241,127,761,121,361,
344,226,407,909,744,058,381,995,201,895,610,787,050,018,073,032,778,899,252,
314,021,829,476,447,250,326,654,655,789,668,314,290,569,434,519,920,619,239,
080,661,844,160,540,099,963,202,688,430,150,962,050,683,566,540,584,413,118,
752,493,601,550,089,224,797,141,904,226,676,126,587,979,207,619,970,691,284,
969,810,139,408,165,790,879,746,957,990,840,669,162,046,063,102,195,011,695,
771,387,081,039,211,418,463,305,631,118,289,318,160,977,714,082,408,104,373,
055,303,460,945,096,112,894,621,477,077,526,399,103,379,705,053,298,040,348,
482,550,139,000,576,506,795,026,317,383,200,032,313,622,253,848,394,915,554,
221,428,462,618,637,901,850,550,463,232,742,315,572,293,143,430,353,802,542,
712,184,744,592,391,946,454,624,381,655,783,473,984,565,624,511,914,607,655,
176,108,186,659,822,962,343,601,110,122,170,147,251,409,578,241,907,064,374,
035,696,775,050,600,974,641,130,560,401,394,038,501,601,676,912,048,436,833,
999,435,123,928,690,116,192,787,027,895,515,548,352,959,956,028,228,337,716,
689,253,837,262,686,251,825,089,990,246,269,384,217,954,767,308,007,763,379,
134,750,622,164,705,676,386,438,288,867,540,114,599,877,076,510,804,549,560,
664,180,336,971,326,275,171,440,249,661,235,629,910,668,270,825,778,534,026,
987,056,797,169,183,816,241,540,007,050,954,976,787,544,465,496,477,064,211,
602,703,767,306,781,294,949,536,654,707,220,280,977,178,123,155,407,392,668,
308,726,740,452,693,704,734,314,202,746,493,990,343,191,816,790,101,224,386,
535,643,920,399,332,792,511,890,834,332,787,484,068,564,126,305,413,918,646,
769,189,093,993,034,847,586,759,972,327,387,503,672,029,571,733,772,702,976,
718,904,872,273,683,419,165,975,252,970,594,610,813,993,316,757,761,348,697,
226,875,083,358,806,149,990,557,920,440,938,481,268,480,289,032,382,433,845,
733,530,705,902,338,769,227,222,579,407,694,955,893,871,481,972,144,742,768,
698,552,096,899,974,301,132,265,955,676,628,894,170,514,501,120,009,730,743,
843,675,294,917,102,154,376,467,905,281,078,669,029,838,842,223,712,865,333,
669,091,076,413,831,595,004,929,109,912,754,452,796,413,745,614,238,444,580,
771,560,966,048,119,316,631,401,506,031,663,127,800,263,580,618,301,244,865,
649,800,488,594,369,608,708,756,202,463,348,133,146,241,741,660,251,726,202,
806,768,787,677,929,875,083,281,927,464,065,674,490,515,135,047,354,711,747,
147,672,459,948,390,595,991,305,366,135,360,341,325,022,238,376,783,575,287,
235,807,284,131,987,438,420,201,118,965,162,217,684,774,073,732,699,297,219,
801,723,305,475,985,848,973,753,200,897,101,075,061,508,237,260,178,327,303,
516,983,345,561,091,076,875,878,316,973,429,047,799,232,986,293,804,670,587,
605,879,472,916,039,998,050,905,704,170,513,541,524,840,680,012,449,910,231,
038,013,112,211,850,502,767,905,283,638,634,700,067,985,050,489,326,625,413,
858,490,476,328,283,821,294,861,554,055,844,367,601,805,275,654,272,253,653,
891,204,446,626,754,190,251,633,997,203,848,137,064,481,444,393,963,172,012,
166,296,048,353,543,762,302,214,597,746,507,733,944,358,695,293,105,049,330,
218,852,410,313,797,729,573,525,663,984,897,413,779,431,494,100,385,698,315,
863,399,184,322,911,980,518,734,872,201,816,940,488,171,096,609,621,974,329,
243,682,479,039,357,264,110,926,840,920,958,069,397,703,660,878,390,145,901,
484,707,260,570,735,784,442,544,792,589,252,620,686,540,366,206,664,757,150,
965,306,961,852,459,313,587,524,026,710,677,960,666,070,192,944,121,516,428,
857,356,866,308,155,343,588,214,169,237,594,951,357,171,827,236,858,772,923,
029,513,667,276,169,114,252,038,089,740,829,717,535,859,778,457,243,048,990,
245,188,176,274,636,827,830,893,509,331,076,514,818,588,840,144,720,324,962,
917,237,486,340,191,141,138,711,970,602,584,042,244,083,250,308,357,456,193,
566,612,918,333,342,232,077,061,424,291,054,840,598,018,187,210,427,649,013,
000,716,940,785,691,098,061,241,457,102,207,310,420,684,820,797,484,804,704,
751,122,440,324,148,568,104,419,302,827,455,387,758,596,765,119,937,347,123,
816,657,329,314,864,224,149,630,307,772,422,355,404,780,983,658,962,372,799,
111,058,529,326,438,379,761,019,895,008,760,345,189,685,844,949,600,094,393,
075,407,282,486,149,120,914,333,822,133,588,645,411,417,831,122,974,696,618,
715,786,141,741,430,948,308,364,583,487,736,437,721,323,324,594,378,548,144,
554,517,919,707,949,735,510,664,166,328,150,781,345,638,115,450,404,497,482,
722,763,273,009,899,161,382,308,004,741,556,381,256,544,627,183,394,927,046,
983,448,272,250,493,354,203,047,202,284,937,253,512,721,700,711,153,459,471,
052,337,984,707,734,563,694,757,970,639,063,055,306,225,291,920,157,879,088,
777,615,333,842,707,246,315,174,386,314,979,007,712,961,728,776,115,182,449,
404,173,013,357,675,881,279,049,875,822,456,396,467,620,080,795,800,994,186,
575,475,797,840,373,859,316,145,760,487,170,403,573,867,803,626,689,593,609,
924,917,012,914,634,080,683,528,386,597,910,018,258,643,947,508,023,755,325,
493,139,984,865,738,473,286,139,155,006,156,405,357,409,882,927,003,667,414,
108,702,418,326,577,845,929,039,284,858,318,322,711,666,850,787,997,520,433,
838,226,904,536,731,640,902,774,270,109,860,768,000,084,197,907,776,405,733,
975,587,147,812,841,759,597,912,610,777,246,502,891,164,726,143,160,168,588,
923,016,800,810,401,624,341,253,965,356,773,984,972,585,758,840,824,609,134,
182,845,389,250,278,515,974,257,380,162,321,430,457,898,780,584,430,254,652,
033,692,485,361,281,895,608,322,792,794,157,512,716,476,216,655,785,479,051,
814,188,760,549,485,874,414,484,224,033,915,666,214,383,024,615,795,166,398,
769,035,393,476,175,147,989,718,993,846,892,424,280,459,130,707,506,250,095,
031,408,813,439,801,870,888,447,869,776,724,784,134,300,860,449,421,361,285,
197,198,292,834,151,769,936,200,923,363,505,211,918,261,931,178,022,482,365,
601,641,524,842,828,328,761,036,150,884,338,855,002,514,424,777,854,755,422,
186,905,873,359,332,975,739,745,042,498,116,110,422,250,254,721,395,846,099,
585,438,976,916,671,197,643,613,915,074,840,792,449,430,934,196,661,646,517,
343,466,689,772,817,345,926,245,649,771,804,025,739,655,786,781,274,590,887,
614,685,943,362,340,021,534,398,800,565,139,772,487,776,396,358,624,291,915,
531,776,464,434,463,193,686,144,296,918,645,763,675,305,676,608,144,894,097,
556,788,171,544,401,771,883,778,253,502,311,323,052,349,875,353,673,535,711,
066,628,399,439,863,986,053,468,678,696,104,586,463,636,172,362,692,649,837,
838,706,471,447,273,066,850,225,811,367,905,761,773,180,463,618,270,745,781,
296,386,212,226,090,644,594,313,456,521,197,995,690,581,969,957,524,273,231,
803,746,625,491,580,406,316,537,644,390,013,659,129,625,499,755,934,293,509,
521,521,072,716,186,926,435,815,443,338,560,439,961,928,219,404,974,333,427,
276,692,133,444,022,166,931,314,107,376,617,720,489,225,715,063,467,138,061,
787,445,906,390,616,272,412,683,410,791,462,951,937,490,960,824,701,276,717,
596,301,538,682,854,831,141,713,272,325,979,099,097,853,104,393,941,780,745,
827,943,931,358,536,739,094,481,932,967,326,574,067,688,551,876,421,227,262,
647,116,015,932,590,732,020,877,115,416,501,089,917,483,629,190,827,600,471,
772,977,062,394,031,024,606,859,257,309,674,796,978,322,254,996,624,805,539,
052,816,148,473,916,591,571,416,497,003,132,356,407,437,688,017,763,099,573,
754,987,302,068,417,920,754,490,984,771,943,355,939,473,908,150,215,344,766,
917,285,970,059,734,254,167,302,675,181,556,533,470,566,504,731,062,932,857,
521,688,985,391,985,990,651,622,414,736,254,872,433,277,597,153,873,207,407,
218,828,839,929,241,564,941,157,269,833,247,288,017,495,584,901,697,625,863,
219,425,537,201,871,069,635,361,342,763,938,704,837,739,799,666,476,629,862,
808,458,156,003,859,540,959,093,549,059,982,097,511,417,458,952,108,634,725,
855,120,475,152,895,840,682,624,044,916,308,740,201,805,808,135,360,877,291,
533,920,592,440,402,349,082,242,155,126,235,575,611,835,321,402,002,977,082,
850,198,756,225,852,307,943,343,078,810,128,311,125,556,525,047,529,317,283,
463,389,146,575,062,193,273,494,906,611,634,855,875,564,142,271,408,152,561,
771,704,361,454,466,842,537,192,399,247,915,131,944,142,244,658,472,076,900,
716,654,419,441,680,758,254,806,087,695,634,205,964,054,320,318,564,203,261,
952,777,467,689,884,657,358,753,217,603,172,648,240,100,703,052,843,072,486,
618,076,685,575,952,305,041,891,719,118,301,225,622,651,934,701,123,249,439,
553,243,099,503,027,103,948,629,496,200,453,774,831,932,931,254,957,249,786,
638,559,786,124,242,539,557,129,760,998,634,357,779,238,173,133,058,313,771,
712,732,527,614,829,535,310,282,490,075,747,515,155,081,387,934,508,540,399,
830,984,546,016,480,583,161,045,764,635,475,339,612,548,564,921,251,737,512,
990,756,691,812,148,246,289,319,383,761,843,531,874,676,747,278,090,639,195,
581,021,906,446,364,303,542,018,763,243,184,752,966,553,449,071,060,888,780,
049,980,545,098,770,931,437,106,306,929,335,745,035,382,380,097,746,854,803,
240,558,524,792,937,935,906,907,880,988,541,044,558,643,516,236,830,209,550,
611,926,172,741,579,093,531,955,258,550,620,506,295,497,646,568,421,794,269,
057,407,660,634,823,545,769,526,899,265,895,687,582,060,303,930,326,509,261,
773,318,379,734,896,811,444,904,661,072,668,976,360,244,185,831,504,269,786,
496,374,460,665,888,641,730,979,486,960,331,883,998,254,768,718,936,649,610,
585,097,893,804,616,447,926,783,488,058,733,494,759,747,203,270,785,040,010,
155,269,869,187,520,771,815,496,913,748,705,309,841,495,921,153,198,644,798,
651,490,164,825,357,643,396,707,063,985,620,807,564,711,905,331,111,761,557,
172,049,325,240,963,187,908,296,021,666,346,670,114,210,814,822,028,113,221,
866,290,294,179,396,062,929,288,126,679,213,797,215,705,628,834,741,179,602,
689,317,813,960,851,583,027,079,391,640,057,581,838,693,143,345,520,980,108,
268,813,150,409,341,459,528,816,252,439,346,843,730,001,227,995,315,553,320,
699,927,569,925,251,074,462,536,428,863,269,918,429,616,681,148,719,336,473,
575,470,666,857,399,849,509,557,592,242,104,611,297,892,580,423,690,227,378,
979,733,423,095,839,924,240,850,437,322,560,679,569,557,369,645,253,208,193,
494,462,619,390,314,181,192,647,874,183,306,514,008,000,566,785,574,662,385,
722,180,965,618,083,208,823,927,657,203,777,346,222,799,307,968,061,957,907,
462,201,719,296,554,641,103,647,287,560,248,195,338,906,283,371,387,265,149,
357,853,504,709,762,690,441,422,154,311,589,267,990,497,877,225,132,016,503,
402,551,664,586,019,201,424,498,340,237,016,286,047,993,519,098,247,477,345,
786,021,512,176,284,999,153,337,343,935,620,604,931,271,917,380,070,267,172,
094,057,906,366,120,286,474,741,767,184,933,165,652,287,009,596,258,787,810,
067,570,532,712,323,994,100,560,031,923,787,313,448,837,100,185,706,281,654,
864,524,902,088,700,463,471,880,524,682,844,781,707,479,460,211,138,596,359,
099,784,000,575,969,091,303,995,479,524,906,552,844,477,927,107,358,131,361,
081,509,425,927,607,401,121,006,788,813,668,053,837,342,459,795,806,685,360,
164,241,402,857,422,900,099,851,087,417,988,827,611,867,747,351,882,519,025,
582,499,864,948,577,389,214,118,902,754,674,316,823,632,529,411,090,680,387,
914,016,029,895,587,863,186,017,962,442,124,050,660,619,748,476,432,318,350,
879,658,262,296,179,498,253,479,981,347,326,384,473,427,286,057,143,507,207,
921,254,747,182,651,326,005,489,326,843,237,184,459,790,145,883,543,880,882,
295,757,834,965,100,915,762,197,394,200,423,854,534,530,668,546,478,464,313,
963,733,601,796,763,683,733,890,487,671,654,176,919,325,358,315,482,189,523,
099,724,296,667,054,895,899,583,958,556,294,106,945,768,034,599,845,843,783,
224,561,927,350,838,611,494,275,490,694,937,599,841,723,034,987,611,481,784,
060,570,357,473,289,261,282,329,147,484,000,262,351,347,252,447,863,462,106,
342,126,288,771,494,079,525,141,707,928,679,854,287,611,387,678,758,614,725,
042,259,128,745,860,765,418,860,452,048,394,302,052,314,262,717,366,149,087,
545,772,710,517,161,284,035,321,284,697,156,610,855,310,629,314,183,650,348,
143,704,559,655,648,271,991,943,786,024,909,257,572,276,548,694,152,013,340,
019,856,705,239,253,363,588,565,931,451,015,290,202,680,597,912,699,728,905,
651,984,615,584,074,066,815,755,642,401,827,420,376,376,818,502,576,438,382,
924,629,780,706,085,650,295,886,788,696,071,185,560,426,470,284,320,457,427,
897,389,985,460,412,000,903,199,528,435,625,818,493,102,809,160,013,044,394,
442,274,184,970,239,612,061,575,524,884,698,315,620,110,327,591,132,758,071,
902,413,640,265,287,328,961,432,225,603,074,854,497,946,916,361,460,396,728,
373,506,947,882,153,734,484,140,295,840,612,659,814,271,191,850,449,206,438,
576,673,782,082,668,384,110,513,044,922,476,735,631,263,715,142,525,831,032,
499,181,188,995,853,656,524,945,869,335,911,477,053,875,110,795,475,436,037,
159,414,489,574,420,340,212,826,442,587,601,630,574,319,900,553,099,876,450,
657,649,417,683,751,731,519,502,725,707,526,551,771,236,347,124,534,942,899,
667,275,316,747,821,952,380,821,483,351,683,471,952,708,750,362,910,292,757,
156,133,830,661,736,640,849,051,968,581,438,963,535,760,463,441,162,655,849,
925,234,112,748,453,623,787,774,923,042,210,309,197,589,369,202,267,171,536,
323,545,928,899,867,142,592,215,558,336,823,684,043,711,621,985,359,308,815,
333,635,500,504,860,733,198,539,001,841,295,327,664,552,657,093,931,958,870,
408,291,429,121,596,765,403,645,806,139,299,223,307,671,078,811,163,621,223,
998,906,247,779,026,638,856,761,380,167,235,902,277,737,853,510,106,475,728,
072,063,434,204,127,691,343,830,450,214,969,144,148,846,457,926,123,101,588,
535,081,969,426,414,040,850,684,591,287,217,536,006,518,971,466,972,455,165,
966,026,712,757,362,728,953,353,508,566,931,730,257,902,014,890,897,759,839,
284,772,570,517,273,956,980,621,679,856,287,554,106,389,247,000,375,828,326,
728,824,087,758,018,599,265,119,392,972,126,923,146,779,626,832,688,705,819,
559,840,258,023,197,134,518,763,857,091,802,179,626,241,430,574,286,872,663,
369,439,524,059,419,099,782,210,561,837,192,541,501,994,608,479,302,774,503,
896,056,220,306,614,105,477,204,724,846,849,860,018,098,219,181,677,044,800,
438,962,580,096,198,858,501,777,507,866,593,718,201,010,546,089,478,875,276,
200,306,560,231,970,202,617,745,735,202,730,991,601,604,829,879,868,215,987,
344,679,590,716,543,363,758,552,653,850,873,407,778,808,579,726,412,266,182,
938,676,912,287,224,885,913,336,678,094,097,094,571,915,978,213,709,133,179,
933,846,706,461,903,028,321,687,217,539,352,017,940,196,039,871,666,294,141,
084,078,691,225,118,012,158,564,032,631,895,518,605,629,102,315,322,135,132,
964,675,925,935,422,792,989,759,511,410,093,129,219,849,315,456,777,865,238,
371,792,421,141,770,128,505,368,960,413,125,783,793,721,359,527,313,049,742,
975,230,050,542,061,977,058,909,436,106,985,150,862,370,282,027,464,525,539,
223,138,766,459,838,214,781,142,608,972,447,221,058,643,773,485,196,151,069,
370,165,588,261,286,234,922,244,401,763,967,223,592,550,988,191,787,598,794,
979,578,238,399,840,879,099,553,615,085,634,309,679,198,551,891,506,321,493,
495,222,957,459,367,869,647,867,081,190,161,232,211,057,927,153,388,937,583,
486,407,471,733,577,392,771,382,040,293,925,729,250,230,828,712,635,779,368,
807,630,820,690,735,568,401,768,556,468,524,365,899,676,412,973,311,664,524,
189,123,488,185,550,575,240,231,750,436,738,919,048,817,887,539,963,350,824,
929,366,879,825,113,353,161,289,700,314,299,776,766,026,188,752,708,522,898,
150,978,798,947,601,552,132,622,577,980,661,938,548,467,577,365,104,293,691,
144,406,044,897,700,338,590,121,316,170,867,501,973,647,631,850,153,598,512,
079,475,133,334,538,941,559,120,969,704,701,248,482,328,981,267,380,627,364,
974,673,163,904,143,249,103,686,055,230,845,273,823,500,103,904,063,369,634,
529,021,617,762,522,276,120,845,966,945,794,638,029,431,297,474,725,825,148,
381,353,108,896,963,494,978,396,566,028,830,039,857,489,832,594,123,574,996,
322,263,341,051,976,031,915,111,378,295,772,121,154,470,771,252,477,009,940,
363,907,486,471,634,789,811,198,451,384,983,022,047,162,189,013,705,921,170,
840,342,808,306,677,489,653,740,655,761,721,971,430,985,047,269,215,094,993,
710,451,611,232,139,914,657,281,697,767,791,217,749,371,775,562,209,524,451,
904,490,094,812,489,841,732,128,048,133,837,400,019,591,736,612,928,361,692,
484,365,848,106,334,063,521,005,558,548,618,893,893,174,902,917,551,062,102,
069,082,727,753,621,950,946,471,809,643,623,885,428,731,047,062,287,582,239,
651,546,553,268,905,927,069,917,785,376,988,979,064,525,428,256,352,545,971,
243,371,702,707,495,406,134,460,227,521,184,887,498,099,920,975,918,130,955,
621,420,317,092,021,732,302,911,291,800,946,174,442,542,969,568,222,917,643,
538,828,691,475,847,827,986,677,558,840,827,238,381,929,367,514,854,727,729,
893,949,765,928,165,874,460,186,704,322,102,466,077,552,278,965,794,892,209,
288,651,133,229,133,569,250,409,082,071,322,598,280,086,308,200,417,487,013,
870,579,432,837,587,787,651,123,743,866,620,867,075,294,726,500,092,124,441,
208,015,579,971,458,551,171,084,915,458,810,827,838,926,055,156,740,608,103,
049,017,258,223,842,443,691,084,684,613,428,200,896,547,805,208,021,316,428,
514,499,495,808,716,798,896,194,317,989,553,662,708,918,758,565,092,798,455,
870,588,023,169,640,352,515,979,592,168,390,933,038,983,214,668,143,796,055,
820,716,341,666,882,407,588,258,558,724,786,725,518,889,750,091,613,220,587,
255,932,054,176,341,747,080,731,092,724,004,849,682,789,274,264,088,366,366,
790,974,613,564,176,746,554,601,776,066,302,378,232,282,666,998,869,598,170,
180,636,328,351,819,942,539,465,329,194,114,335,853,908,828,294,029,691,600,
565,346,284,937,488,647,507,658,509,751,102,962,208,109,017,889,027,004,222,
473,174,939,257,326,841,359,752,346,956,975,034,125,082,745,860,590,196,838,
533,737,113,764,834,948,632,966,777,493,419,026,771,151,874,991,405,520,968,
125,492,643,693,854,349,713,038,256,745,260,955,672,398,655,010,661,818,630,
415,206,968,830,425,461,157,784,035,343,979,303,938,707,078,263,729,344,253,
181,238,785,871,975,830,905,600,150,975,344,040,514,650,288,543,773,286,906,
595,672,224,395,791,720,378,259,855,996,562,024,331,202,535,841,514,937,284,
075,312,345,772,327,349,096,243,185,148,191,388,138,471,314,773,501,011,187,
413,941,925,793,692,398,772,063,727,823,455,059,757,244,388,929,338,676,844,
820,392,200,837,892,488,485,860,421,540,067,091,858,758,547,848,300,616,560,
574,780,156,224,170,654,987,103,209,954,181,456,303,977,895,222,466,080,353,
076,599,832,454,854,364,593,747,238,905,291,979,715,411,581,479,790,090,627,
320,486,141,000,285,851,218,324,296,038,583,069,867,089,903,500,068,755,505,
054,361,174,981,233,531,256,390,108,323,583,774,425,334,759,480,796,005,100,
617,467,538,635,800,926,633,540,309,221,875,374,866,826,435,229,999,675,685,
562,974,595,143,785,043,264,207,192,172,392,031,588,083,027,325,979,815,014,
973,117,438,216,416,981,568,123,691,941,881,315,492,251,669,756,960,986,324,
646,080,271,004,689,014,828,035,569,745,635,898,187,935,563,848,120,359,639,
438,301,330,687,789,471,066,787,887,153,292,014,658,625,893,277,682,652,312,
341,513,028,951,176,811,372,175,484,673,321,265,666,540,825,603,952,759,311,
394,577,371,745,880,272,355,616,598,007,876,393,997,256,815,253,432,577,779,
963,411,461,352,630,085,051,962,949,426,603,832,040,318,872,394,077,359,147,
396,122,836,582,552,874,915,466,084,215,830,887,949,703,851,112,517,343,719,
260,789,507,641,059,222,063,480,817,919,592,645,033,103,476,631,021,891,215,
099,838,490,718,923,747,277,041,776,258,611,382,150,798,817,234,011,767,889,
319,566,990,976,363,068,150,726,791,188,070,207,224,614,532,998,938,522,746,
953,693,549,725,367,400,084,158,554,031,663,251,232,328,217,062,807,902,226,
969,751,967,892,771,064,441,176,341,970,017,709,848,900,800,451,463,666,833,
906,473,056,424,114,988,361,038,150,245,947,844,870,126,518,049,946,628,020,
440,914,270,467,824,591,269,280,068,552,748,699,336,719,266,349,769,744,864,
482,816,741,778,090,053,237,537,864,506,706,223,127,561,806,642,616,969,251,
434,216,876,514,512,003,401,962,376,205,288,262,366,090,309,483,464,849,582,
775,464,188,770,638,372,782,954,548,368,229,635,825,526,445,911,238,825,920,
593,888,307,002,776,856,847,117,725,724,554,938,358,155,005,996,087,992,005,
218,336,270,038,785,286,507,039,198,716,785,516,463,767,475,746,731,514,811,
231,028,944,139,988,992,183,655,711,995,073,791,790,670,587,652,535,322,301,
702,386,398,959,252,401,493,868,330,249,999,419,741,814,560,686,593,623,366,
404,927,373,635,269,898,182,279,220,220,864,469,178,293,648,966,990,592,202,
853,248,979,569,725,719,900,453,002,383,723,751,404,427,254,142,180,925,061,
412,902,484,048,257,968,395,325,938,873,761,689,189,542,291,078,310,797,513,
942,926,644,430,913,473,072,461,538,796,501,654,608,080,903,008,462,939,746,
450,855,431,795,433,434,273,783,836,723,134,740,532,811,844,316,612,545,616,
168,510,392,510,917,364,427,671,049,022,705,386,384,373,523,893,216,175,624,
925,252,358,689,473,182,739,637,193,216,857,858,525,962,128,068,521,035,328,
368,577,144,907,967,984,167,053,326,356,974,634,835,742,009,470,053,741,707,
273,828,390,184,782,801,395,995,398,558,945,773,910,032,902,925,007,154,754,
759,684,882,627,412,222,680,806,583,671,785,211,601,316,595,593,972,279,979,
047,647,953,256,348,979,730,539,817,894,696,158,620,758,013,890,094,917,815,
597,277,098,450,581,879,520,215,715,512,122,232,808,052,573,280,078,894,887,
395,140,935,877,129,440,610,033,921,078,488,996,419,669,126,949,256,912,074,
659,056,552,495,342,149,438,473,607,320,748,951,795,194,836,444,694,891,178,
375,244,884,317,363,087,125,145,229,243,427,526,905,772,463,142,982,188,944,
800,242,812,657,087,831,924,589,264,600,692,480,895,134,505,895,652,571,318,
385,045,612,053,752,385,608,719,178,941,274,228,755,854,336,207,856,176,721,
544,013,217,517,258,398,629,025,974,260,775,118,002,077,231,261,281,165,782,
708,735,615,591,345,897,746,806,006,860,057,719,289,054,458,202,991,244,699,
542,835,396,799,680,157,856,266,412,358,208,994,342,620,651,676,271,490,760,
407,030,905,946,125,290,739,463,123,659,148,955,591,364,359,979,421,055,009,
781,905,404,697,665,246,446,703,130,024,485,576,318,991,261,789,429,457,237,
966,767,910,335,396,103,399,327,388,663,075,039,615,213,326,194,054,894,438,
373,534,346,048,931,969,870,786,476,394,197,465,861,345,886,842,338,885,004,
692,630,264,879,573,624,717,500,057,877,349,875,934,575,197,425,365,021,699,
009,339,035,840,234,914,615,538,278,721,572,059,491,044,832,151,758,105,009,
683,403,837,040,096,293,406,261,600,792,445,515,570,865,598,820,834,296,376,
558,091,590,105,154,292,049,210,249,607,276,634,487,949,453,469,902,010,896,
775,497,936,547,858,900,286,080,795,906,182,176,640,509,899,051,241,994,432,
611,825,461,736,937,151,524,908,561,323,692,202,001,202,839,777,816,637,936,
177,737,605,806,393,946,926,219,347,841,664,327,911,807,819,000,445,676,317,
547,703,520,475,119,787,747,890,831,205,797,632,413,160,758,145,701,513,508,
351,333,379,560,866,262,916,696,508,698,356,568,401,574,000,822,512,237,919,
992,482,968,989,721,547,281,688,924,602,963,139,976,963,444,153,016,089,747,
682,760,923,264,292,367,406,067,066,161,339,502,526,156,394,045,170,162,022,
324,795,494,309,904,200,478,506,070,490,527,198,362,299,831,965,065,940,345,
371,420,714,274,714,611,151,200,755,507,374,677,447,936,974,636,146,295,563,
469,159,180,085,615,107,616,994,545,501,590,467,279,955,193,734,619,177,126,
180,251,407,630,671,401,863,026,451,350,983,547,890,849,415,307,095,788,202,
762,477,885,039,362,055,640,949,537,024,970,604,659,806,933,593,818,239,479,
888,951,600,293,229,442,307,172,395,236,441,070,420,071,064,307,235,340,746,
921,036,213,292,543,363,634,090,766,998,044,034,204,149,531,803,788,630,331,
761,639,784,859,152,997,674,468,387,791,423,190,013,599,674,288,630,269,665,
671,809,387,102,495,998,291,946,595,515,759,840,469,901,949,927,093,883,884,
964,648,474,127,085,187,788,272,508,595,373,695,568,599,923,326,110,152,555,
544,082,889,656,624,261,163,382,795,620,993,858,193,908,041,270,942,775,409,
451,067,919,982,641,247,148,732,391,210,734,868,679,766,784,916,324,462,567,
884,066,632,963,055,778,858,575,117,677,451,831,438,644,136,391,264,907,459,
852,504,298,704,750,719,765,371,973,422,195,639,035,223,509,591,210,629,703,
467,619,867,900,816,500,941,850,064,907,895,878,036,795,525,944,531,581,411,
015,332,246,459,308,899,519,851,502,563,068,367,528,821,563,253,475,760,130,
759,894,506,953,811,941,530,140,791,320,187,857,054,675,080,223,949,085,253,
257,969,435,718,436,080,385,478,718,588,756,500,041,089,956,531,644,954,143,
036,364,370,338,045,998,406,882,697,755,212,045,511,994,924,786,469,382,193,
399,262,386,261,084,625,715,309,416,464,076,934,547,838,310,369,435,898,030,
926,029,308,681,131,747,934,470,636,591,059,989,889,417,711,424,675,101,150,
528,331,361,748,767,072,437,879,204,250,129,590,839,241,345,327,592,815,558,
903,203,791,503,631,693,886,511,223,532,197,624,828,612,622,852,734,945,882,
017,068,407,473,239,544,073,577,379,685,268,285,104,865,339,903,763,770,718,
011,794,089,153,450,608,032,762,432,774,220,132,249,772,026,585,597,463,254,
852,134,303,325,018,893,401,495,229,047,738,560,878,556,423,196,016,654,477,
750,121,633,593,694,760,554,522,975,975,735,297,410,424,766,452,337,134,887,
379,203,139,912,631,765,774,456,096,217,861,804,327,920,973,781,020,972,548,
756,178,573,369,855,431,283,696,839,318,310,904,686,971,761,698,630,298,252,
021,662,836,162,977,959,169,949,509,038,197,684,064,658,367,880,591,925,193,
704,421,599,895,858,643,869,057,614,449,981,230,985,917,382,600,442,666,706,
077,541,423,859,011,180,886,408,893,468,730,439,251,333,622,762,980,984,013,
077,135,849,720,613,388,408,432,164,772,942,592,945,523,143,216,623,636,190,
143,433,266,773,599,878,642,343,726,450,376,111,850,576,949,129,117,672,508,
397,708,280,667,230,275,106,534,760,980,614,389,975,313,190,159,491,124,188,
490,644,852,414,479,382,332,241,648,353,891,602,578,274,339,396,678,683,599,
305,335,926,462,292,167,800,815,866,032,984,462,606,031,992,004,565,521,676,
897,771,792,827,218,962,219,198,030,702,199,206,628,804,518,457,864,286,699,
332,553,690,123,557,580,782,941,750,012,052,739,780,720,933,764,799,287,235,
196,471,816,427,396,837,257,771,927,572,628,773,847,561,434,324,582,786,738,
147,432,148,005,975,223,618,671,769,665,875,831,496,578,130,394,359,660,282,
373,003,040,647,791,788,033,944,517,739,641,678,828,828,616,667,034,267,224,
747,925,541,134,397,380,329,075,304,312,101,895,339,173,078,306,676,814,710,
870,635,305,309,586,760,768,554,978,817,288,863,128,095,547,319,982,327,114,
684,322,041,116,683,486,516,827,518,999,890,883,318,925,167,106,797,994,088,
008,626,007,271,229,191,755,362,335,646,802,902,446,828,843,265,051,367,439,
898,985,814,199,394,158,707,631,231,122,134,602,939,818,198,232,794,232,373,
891,861,868,400,816,475,114,980,356,715,134,308,736,222,578,707,216,493,008,
502,740,272,184,092,996,937,913,274,381,412,004,567,362,835,542,579,743,696,
439,439,063,413,053,810,856,325,198,326,907,806,802,888,396,933,465,346,522,
320,357,022,848,855,939,631,946,207,795,254,647,828,951,776,497,912,352,566,
238,980,084,040,835,313,437,179,234,834,703,906,906,354,522,149,458,112,348,
628,508,497,259,544,839,751,150,564,637,453,849,917,929,678,263,209,389,427,
652,062,861,645,261,593,467,149,780,567,755,380,942,949,624,316,922,802,449,
068,093,995,629,783,063,403,499,264,161,216,604,158,674,399,637,644,133,317,
866,188,753,097,107,131,453,697,228,692,081,329,358,209,071,617,354,266,823,
715,858,064,213,363,872,287,200,563,550,453,763,359,339,284,502,949,710,566,
956,780,405,426,622,628,436,128,013,916,896,850,584,886,131,351,135,982,174,
382,577,527,278,924,945,955,210,351,998,564,000,235,722,078,603,026,035,260,
377,366,561,465,498,021,271,674,521,881,180,795,889,914,587,759,802,369,319,
757,293,953,310,409,092,774,988,700,778,284,829,688,441,228,853,909,056,958,
388,567,273,718,627,125,196,762,820,182,725,342,029,603,816,900,667,764,457,
331,833,488,846,048,374,675,918,571,378,171,292,036,870,735,409,598,688,461,
925,214,686,718,624,436,232,094,694,063,242,178,715,428,911,508,087,340,810,
480,538,324,812,168,088,291,764,270,120,210,738,080,017,510,177,981,829,168,
959,061,355,835,308,215,537,625,102,146,681,843,706,545,462,647,868,996,351,
085,566,031,313,918,538,145,921,358,440,728,590,723,826,663,501,771,921,937,
165,375,133,201,250,013,320,651,063,394,298,337,543,400,093,213,110,618,893,
783,866,001,122,087,250,632,981,604,220,251,060,814,367,076,041,806,868,900,
587,646,992,909,179,599,049,890,412,515,866,507,565,978,363,373,234,848,508,
819,810,614,320,131,757,156,723,639,050,427,195,227,388,691,734,483,909,698,
589,947,885,587,835,121,419,406,202,873,867,397,219,673,713,422,799,967,479,
776,905,271,196,022,788,040,062,089,855,570,380,763,386,920,668,268,533,514,
273,540,106,895,301,205,447,789,979,694,965,768,347,226,788,411,314,556,489,
744,858,132,134,039,029,640,014,491,917,386,930,979,546,230,543,171,128,268,
640,626,441,357,136,833,710,330,454,732,172,646,915,382,453,251,372,714,494,
588,167,788,213,162,432,288,527,479,348,071,651,856,781,318,449,917,067,120,
877,931,068,449,012,198,187,038,911,881,486,018,431,786,168,313,302,418,251,
115,291,300,202,122,526,657,595,562,333,148,347,845,646,490,888,487,467,174,
532,109,480,123,829,325,452,215,988,446,351,406,064,157,309,379,388,797,468,
185,755,044,494,753,897,360,649,663,629,406,871,539,654,931,434,663,695,479,
717,074,101,957,062,056,300,360,049,902,558,040,513,624,090,748,870,325,700,
230,702,492,894,561,424,311,560,146,170,710,306,211,208,432,787,932,642,056,
264,665,798,259,082,641,084,540,140,174,843,831,179,918,213,551,111,152,277,
697,104,734,746,280,596,861,002,994,232,644,426,129,630,670,867,945,848,249,
389,657,859,517,293,143,524,784,762,784,459,386,393,027,450,204,951,792,987,
765,191,773,925,639,555,777,186,527,812,654,648,176,083,311,634,170,147,101,
920,094,109,629,526,992,033,664,385,078,741,481,728,738,196,120,295,973,638,
219,699,297,182,874,338,644,306,630,492,846,096,011,216,000,058,267,825,374,
903,917,309,109,484,229,008,724,851,274,931,497,473,757,919,566,210,274,119,
272,324,852,397,574,471,404,974,454,549,519,793,882,527,186,518,230,982,006,
006,473,230,232,012,154,827,791,432,772,535,409,792,500,491,681,975,641,913,
717,499,812,752,882,763,200,279,875,043,705,040,107,340,103,496,629,715,571,
447,283,612,189,386,353,357,624,196,742,156,656,798,180,478,203,008,721,077,
831,358,542,028,859,562,808,075,091,224,165,962,105,316,435,282,361,205,446,
049,971,230,355,761,407,940,807,889,186,664,194,141,558,762,583,182,544,577,
501,896,413,014,085,218,112,741,258,285,802,799,010,029,110,858,844,178,061,
606,847,883,474,775,773,744,605,841,081,435,051,019,873,668,787,661,798,523,
698,323,796,129,989,627,943,934,184,378,691,604,994,218,830,661,583,140,187,
024,413,646,556,970,345,027,766,766,304,490,069,841,863,083,640,913,434,933,
943,753,806,136,858,175,640,024,656,118,530,309,223,374,285,189,326,865,607,
477,612,013,735,034,497,515,557,748,167,935,407,435,946,175,913,013,906,611,
560,330,394,066,549,584,833,472,893,951,222,869,338,645,811,503,021,243,831,
714,198,937,135,087,508,511,604,099,763,673,348,212,799,283,072,460,478,145,
016,850,330,128,666,176,542,599,815,446,207,779,484,063,681,209,082,742,412,
151,098,454,041,774,758,015,938,658,152,837,005,866,752,239,269,095,055,444,
127,095,387,240,578,614,004,379,510,647,193,352,356,547,722,987,110,844,989,
513,805,190,503,114,872,517,158,316,126,937,601,021,452,028,106,263,164,637,
173,537,582,123,335,767,476,921,509,102,535,487,213,711,522,721,956,170,132,
634,153,922,617,592,014,724,909,390,170,936,132,203,101,710,012,567,195,692,
683,040,853,657,295,412,852,552,133,011,055,925,023,012,195,707,283,208,929,
605,090,835,843,756,758,934,336,822,927,535,400,609,271,943,992,158,164,670,
434,052,481,080,345,210,541,120,727,246,208,820,722,783,657,462,709,275,293,
558,770,992,992,359,313,606,604,572,630,914,411,744,113,720,805,499,175,295,
932,277,601,428,816,690,927,075,762,077,981,156,309,713,108,550,711,718,058,
164,698,958,602,856,624,032,420,432,877,696,220,258,272,859,155,784,510,703,
912,816,522,987,835,953,258,359,152,305,845,310,328,470,677,490,370,964,172,
670,702,828,570,412,704,650,771,885,132,832,371,572,187,739,267,485,279,999,
779,634,766,035,223,865,295,712,089,971,206,273,538,647,202,651,545,557,871,
431,876,687,266,171,456,410,740,398,214,236,209,284,396,952,896,705,742,179,
143,149,348,732,874,098,839,254,492,475,406,379,535,961,977,949,475,162,856,
538,189,087,393,848,921,628,853,116,322,561,222,394,857,576,416,540,380,626,
625,845,095,485,015,782,849,855,345,867,000,753,405,076,427,481,590,456,510,
515,167,459,426,565,330,671,471,067,053,077,021,789,186,181,199,216,803,620,
987,471,199,486,106,421,030,308,384,181,336,570,262,246,505,245,634,219,984,
240,247,323,998,901,795,447,830,152,372,677,934,300,581,730,485,610,414,245,
897,470,659,102,306,908,516,703,324,867,349,979,188,683,654,305,111,731,238,
993,242,320,067,763,293,894,039,753,919,859,121,516,108,107,790,907,468,049,
124,924,648,978,909,810,290,859,950,382,460,138,320,615,901,485,338,280,390,
120,558,039,911,269,033,442,264,056,579,616,389,973,439,168,965,182,969,364,
331,762,146,526,392,816,801,379,161,650,168,821,753,797,416,506,442,988,183,
669,191,444,285,681,648,974,472,661,877,692,810,739,872,760,411,766,754,312,
260,444,159,488,208,039,661,734,542,166,813,076,402,837,044,183,909,077,337,
541,739,894,368,657,569,887,821,539,760,470,641,263,958,368,229,575,291,503,
223,527,362,767,081,127,807,521,491,757,246,394,847,981,891,998,854,645,849,
729,169,836,265,906,214,818,729,168,183,699,927,832,423,692,593,678,377,017,
905,006,295,975,121,286,889,214,131,841,268,693,279,045,484,131,474,015,374,
961,467,994,283,808,842,007,425,408,968,572,635,255,169,762,921,220,245,916,
875,218,652,958,182,168,944,570,374,664,438,941,508,377,085,022,175,577,418,
686,475,312,972,914,108,480,373,923,069,724,423,810,395,007,030,200,239,587,
187,849,384,156,128,954,885,029,034,835,128,940,044,327,509,886,815,569,923,
385,966,940,534,053,383,439,169,596,407,396,077,359,324,301,470,858,642,932,
997,788,160,233,113,097,630,923,344,379,230,535,547,147,217,761,846,215,699,
745,469,225,116,584,954,231,265,782,084,484,174,349,814,983,271,142,364,548,
289,528,841,536,262,392,977,933,140,187,456,459,108,163,806,953,139,659,460,
411,819,618,188,614,959,911,861,760,911,924,990,453,127,451,527,282,122,386,
639,917,254,315,536,499,811,889,310,827,634,766,920,832,497,735,217,732,648,
770,688,453,740,205,972,042,685,625,481,062,495,073,505,133,334,144,663,843,
097,688,775,726,649,355,365,754,189,897,485,128,277,613,001,343,516,812,697,
297,274,984,684,322,122,827,820,392,342,505,775,681,196,521,896,300,082,759,
207,537,413,389,263,055,091,234,657,484,294,917,870,588,366,438,629,987,995,
333,043,638,299,294,768,733,134,606,622,230,489,201,521,709,615,377,176,540,
470,221,918,287,932,911,977,926,993,283,141,561,306,358,375,145,363,175,196,
582,454,625,117,400,027,387,703,149,380,942,247,973,144,707,607,563,273,691,
511,599,238,112,398,931,861,588,786,058,521,074,184,876,450,684,113,151,036,
843,930,819,101,227,467,771,384,564,330,636,733,610,219,158,549,942,549,672,
041,362,886,080,532,458,358,238,212,768,972,222,177,626,191,578,469,991,169,
561,084,281,515,932,504,927,542,557,995,813,847,756,419,465,810,545,141,647,
112,250,941,430,420,749,709,505,695,595,704,922,419,117,311,906,332,124,544,
342,165,492,928,418,573,938,373,645,445,568,212,001,335,772,070,158,096,954,
524,624,921,853,633,608,533,502,642,190,926,604,292,333,878,214,319,423,295,
762,567,069,254,267,397,032,797,927,636,035,543,325,607,712,449,352,462,984,
326,888,246,967,114,101,676,826,536,358,343,738,803,430,060,550,741,064,983,
280,866,177,064,632,700,474,187,483,322,396,933,957,983,946,512,548,805,999,
067,359,456,220,114,187,704,352,131,809,949,870,659,774,865,511,294,728,595,
636,590,008,418,924,930,504,129,122,123,774,228,985,807,472,990,652,781,132,
424,962,411,376,645,775,907,785,189,579,899,419,658,439,754,983,969,894,122,
605,988,967,016,169,323,865,018,570,847,384,463,858,008,832,810,078,807,573,
797,916,897,635,903,925,082,116,919,859,832,847,479,079,897,002,306,259,482,
991,351,629,757,210,565,931,295,246,449,549,929,685,085,381,739,317,743,836,
117,073,005,687,517,990,921,596,235,154,261,805,821,271,960,102,545,167,649,
919,367,573,473,605,199,217,519,141,842,313,899,206,251,146,857,268,803,885,
775,712,156,328,639,184,316,062,237,445,506,507,809,582,679,982,153,463,338,
453,907,170,234,718,909,875,870,515,590,156,658,333,658,116,570,608,916,815,
425,394,341,488,508,349,064,714,355,567,210,492,441,824,666,496,937,410,898,
933,794,159,942,594,896,423,252,449,808,010,097,823,880,138,164,606,821,683,
935,074,590,940,230,977,277,987,336,943,128,232,577,520,091,255,707,838,383,
557,948,535,851,394,349,656,697,871,479,061,147,175,300,465,139,675,479,953,
341,324,513,651,596,095,593,183,990,894,710,512,911,188,209,940,422,480,587,
039,758,322,382,791,603,568,669,556,082,655,804,463,821,804,778,801,199,894,
589,480,561,338,330,605,280,976,669,750,853,031,266,838,474,722,093,165,434,
013,633,281,452,153,975,633,915,296,564,952,412,275,321,198,099,206,913,722,
246,738,711,724,070,964,920,778,283,005,235,481,828,957,165,431,895,022,598,
667,241,180,308,438,857,893,700,645,330,148,134,014,236,222,693,368,969,050,
346,791,483,278,320,857,350,875,338,098,270,939,677,594,439,427,155,461,539,
875,782,995,989,015,320,835,469,309,706,918,243,671,557,491,970,860,802,345,
924,110,412,939,707,646,016,257,834,082,966,289,893,199,852,092,615,659,427,
186,197,228,297,629,970,976,239,655,364,830,777,425,445,256,171,731,975,598,
218,109,249,977,646,044,529,516,353,633,883,153,063,064,952,901,955,417,570,
720,637,818,549,935,361,664,559,837,914,040,998,200,193,163,928,438,262,282,
722,586,031,373,189,480,840,784,360,521,779,965,873,492,612,060,930,811,550,
697,003,088,859,147,075,272,525,786,175,791,465,499,012,841,681,848,442,419,
545,349,888,518,006,941,711,081,745,191,669,386,382,243,236,311,974,228,627,
979,852,865,750,813,514,245,635,752,902,614,034,266,832,859,560,080,404,962,
305,941,744,073,625,728,701,544,808,818,255,650,166,378,163,915,336,152,824,
773,656,469,635,960,438,976,966,570,826,147,575,407,766,671,883,745,050,618,
876,246,447,680,240,616,524,273,595,329,373,050,335,691,515,535,837,809,693,
123,384,091,381,682,273,826,538,238,812,747,706,356,974,724,249,870,769,163,
413,330,980,744,900,622,916,305,046,904,657,157,168,273,862,872,434,405,822,
228,179,233,145,816,095,680,035,584,221,189,816,035,842,862,795,563,857,721,
169,018,797,391,324,037,110,850,011,455,012,300,582,268,361,240,797,316,555,
164,076,358,037,994,330,716,523,375,019,418,973,492,966,077,384,682,684,157,
592,731,466,622,572,605,636,330,176,473,876,464,538,597,260,168,140,626,223,
399,435,552,666,916,960,917,994,522,597,941,816,128,067,572,395,943,472,515,
469,205,924,228,173,433,781,986,118,736,784,934,591,145,113,445,966,900,627,
927,044,880,927,927,275,151,879,307,387,556,420,917,744,715,953,260,126,945,
501,459,209,491,814,261,384,498,721,762,631,120,657,263,378,290,935,532,237,
479,080,646,795,432,805,225,191,836,992,050,426,894,966,550,650,926,643,732,
246,009,479,335,453,206,593,792,092,146,993,751,186,157,280,637,619,949,664,
596,940,270,886,173,997,762,978,696,587,878,491,548,160,368,610,322,815,664,
685,600,026,433,994,170,105,041,993,215,093,364,771,308,385,029,383,907,650,
545,614,092,128,699,238,868,314,971,682,553,621,000,543,959,142,807,290,470,
396,223,876,005,282,009,602,622,944,407,038,598,397,087,257,220,139,627,517,
090,940,861,445,443,083,337,531,938,353,152,128,949,511,342,956,412,837,373,
635,755,016,371,806,148,097,777,068,157,555,800,231,162,621,081,980,170,329,
225,614,235,077,973,490,710,709,975,873,506,792,571,475,089,339,821,962,413,
055,439,612,218,839,411,433,196,090,403,548,738,418,746,919,614,622,442,959,
831,469,464,379,618,323,234,899,921,359,290,753,148,761,156,654,156,707,528,
946,472,056,301,723,025,184,324,550,479,437,711,621,900,205,730,628,185,983,
291,764,733,558,801,335,509,552,744,774,665,603,569,798,511,578,992,799,508,
486,263,114,626,683,095,784,618,257,091,732,121,961,273,386,314,902,186,958,
267,666,796,782,152,145,546,991,144,845,419,329,630,152,027,962,472,944,499,
993,509,801,536,008,574,558,091,428,053,378,054,059,939,078,127,500,453,414,
684,296,943,610,558,907,390,462,499,019,342,788,076,008,043,952,229,008,837,
011,236,997,843,155,787,981,306,077,826,104,956,196,471,975,801,381,802,257,
416,058,227,892,151,920,120,856,973,182,475,333,621,594,552,260,670,013,524,
239,389,129,863,778,560,964,556,082,841,380,243,316,288,598,039,980,361,236,
359,984,295,571,932,641,369,371,815,761,256,788,065,147,692,745,659,660,049,
375,506,023,223,886,265,382,764,874,715,440,107,919,731,035,064,374,744,101,
090,937,549,196,810,842,414,427,083,286,599,022,930,927,179,821,704,985,518,
434,913,995,968,782,559,536,753,793,309,024,133,564,650,918,384,089,829,979,
087,080,946,835,512,035,169,828,537,683,666,409,925,274,474,771,405,985,374,
061,870,695,176,948,392,911,447,596,501,381,725,974,657,867,901,474,854,385,
332,493,351,715,717,978,677,053,645,824,549,149,165,907,060,583,798,961,648,
939,616,014,773,071,033,209,496,528,464,388,817,652,678,963,690,084,390,538,
641,170,557,381,752,055,963,604,660,623,388,698,329,689,406,245,685,749,773,
727,870,580,848,395,554,310,977,483,783,156,203,665,356,930,358,834,187,345,
444,764,821,559,484,265,613,953,184,108,307,941,329,255,235,660,410,472,369,
184,778,235,860,899,885,029,190,791,152,404,635,647,588,502,583,847,033,854,
198,724,042,347,901,107,442,143,527,827,133,386,129,617,632,035,711,484,731,
035,302,384,594,450,710,910,130,085,454,435,154,106,454,629,816,404,922,108,
559,749,624,960,797,992,889,035,724,001,612,815,545,063,283,293,453,823,139,
170,247,325,605,212,141,671,703,779,241,322,527,723,998,048,747,526,253,120,
436,567,888,503,242,004,932,252,956,734,373,055,932,631,094,982,743,459,597,
276,659,114,114,306,203,131,342,994,792,570,695,796,313,383,306,713,844,495,
857,696,051,857,537,968,286,886,328,806,655,591,498,861,536,655,491,882,079,
474,023,059,973,086,998,380,669,485,902,640,358,829,594,772,608,123,667,456,
873,390,003,950,808,390,006,854,511,292,448,566,689,292,806,336,943,209,036,
276,305,356,388,751,013,362,263,414,206,759,994,884,316,006,638,071,453,450,
187,147,420,371,233,776,453,136,169,915,961,359,237,550,250,161,068,496,328,
457,190,352,153,329,917,997,924,585,759,754,910,217,088,336,701,702,110,347,
208,542,635,345,314,419,634,784,195,942,258,231,454,244,789,070,858,338,944,
448,858,412,193,083,244,638,006,565,967,993,197,000,778,997,426,648,859,884,
955,430,402,685,211,383,264,191,085,322,829,739,390,231,998,049,758,889,267,
798,656,114,484,978,286,915,726,465,873,471,879,641,637,259,022,746,321,986,
669,035,941,683,540,463,163,399,338,838,666,200,520,390,948,353,259,013,157,
042,307,656,238,022,080,158,195,045,198,845,738,819,048,810,823,247,098,859,
854,293,202,459,848,625,068,578,241,164,587,807,691,374,244,015,529,723,315,
876,991,454,055,131,671,388,031,465,625,795,198,012,205,623,066,888,770,703,
828,000,319,221,293,907,901,700,129,532,232,116,131,735,637,788,447,514,876,
162,776,325,904,924,345,671,147,601,033,116,566,579,579,693,211,524,033,401,
671,855,529,118,783,810,164,739,438,798,341,919,811,550,861,437,867,846,280,
956,642,500,084,210,489,043,256,006,596,118,641,440,814,552,174,419,039,962,
185,874,350,369,444,539,803,369,093,583,195,362,184,889,696,456,907,995,341,
137,215,297,791,497,464,058,787,553,234,384,078,351,303,667,707,850,292,417,
312,373,939,752,459,184,023,763,377,679,394,081,990,351,063,937,175,527,167,
358,481,675,476,070,253,379,468,118,892,255,892,987,186,543,198,248,008,874,
286,685,172,166,811,561,155,823,401,511,252,021,697,321,520,992,401,896,005,
323,827,907,575,737,612,751,531,157,282,978,650,206,438,988,257,161,407,481,
334,768,928,032,541,671,076,651,945,682,744,549,524,058,328,176,512,392,407,
683,162,031,169,693,935,172,303,616,911,606,023,304,427,842,952,951,972,808,
137,867,091,840,069,930,532,723,374,265,500,548,653,328,843,749,525,956,380,
807,934,010,832,954,437,835,973,537,342,954,272,519,335,606,478,222,808,014,
255,904,445,837,472,917,108,027,709,820,190,155,724,056,657,690,744,153,948,
967,481,935,914,901,483,095,476,717,844,707,765,793,101,765,759,261,376,148,
076,716,645,609,680,613,318,182,151,411,964,260,226,590,549,958,737,918,580,
172,432,774,627,600,032,034,732,583,549,414,052,441,395,213,119,065,124,160,
115,118,210,931,351,078,592,385,575,799,331,098,235,000,840,278,940,234,966,
381,812,616,462,306,021,845,885,011,172,431,211,885,048,523,693,575,860,071,
741,789,656,640,264,935,708,894,635,074,976,437,536,258,681,180,602,333,350,
123,194,786,691,157,516,985,823,571,850,058,139,033,611,023,829,441,853,306,
534,988,488,075,789,276,317,858,232,225,013,918,773,431,289,914,936,333,344,
543,012,788,234,644,652,224,729,773,766,415,879,611,949,340,073,842,685,869,
993,152,348,586,974,335,200,660,650,041,350,556,831,974,226,099,991,602,582,
862,647,041,715,796,436,567,808,463,504,256,990,795,911,774,607,055,608,227,
016,614,606,078,923,415,127,988,390,416,871,784,376,480,572,861,299,957,321,
737,675,582,006,756,596,792,829,201,043,991,945,658,345,274,724,024,023,915,
343,608,171,234,284,556,844,848,089,800,762,201,663,668,023,752,261,254,403,
718,815,818,475,176,578,629,700,247,870,877,516,268,857,776,455,675,400,002,
110,587,230,260,354,848,152,125,791,141,022,377,700,017,677,935,646,796,243,
476,509,396,889,648,436,817,116,423,712,937,117,176,444,199,019,380,093,866,
005,558,870,020,059,372,337,422,281,019,909,151,551,845,797,082,975,072,644,
095,755,046,114,533,824,860,508,612,780,437,345,378,152,357,902,159,527,896,
285,643,270,822,823,674,252,012,534,367,996,555,664,804,621,287,718,844,919,
071,934,328,703,690,295,839,191,346,287,323,739,183,281,248,861,722,844,838,
779,728,191,252,579,339,772,523,003,710,167,635,318,296,981,896,875,068,544,
043,425,283,362,952,908,396,213,780,765,554,959,548,042,721,710,480,347,265,
042,249,230,482,431,645,706,327,569,793,957,234,672,810,744,202,292,176,757,
438,726,472,023,906,183,943,558,604,586,674,945,865,063,879,599,878,416,816,
571,886,044,869,678,325,167,526,656,167,279,173,669,090,514,726,909,351,053,
810,683,103,645,733,406,094,271,154,441,360,856,827,810,960,740,717,598,412,
275,835,621,421,343,587,023,611,415,696,977,380,469,970,718,767,328,680,845,
496,928,950,201,835,832,077,107,490,301,300,998,323,212,698,490,073,393,205,
511,386,820,427,352,427,668,728,225,306,263,693,966,769,165,291,484,682,348,
704,472,580,964,088,848,454,187,773,666,041,277,905,878,314,699,732,722,210,
041,275,142,470,833,250,829,290,886,323,851,465,844,170,630,612,078,592,688,
107,628,911,002,569,759,626,996,007,159,530,578,177,414,533,998,524,477,079,
354,568,423,354,008,589,460,533,736,374,130,816,856,083,966,833,296,851,040,
252,747,744,070,318,991,177,259,662,702,841,293,246,798,804,592,001,953,057,
950,036,434,791,752,038,920,019,307,814,743,834,984,770,537,284,947,178,829,
091,599,980,095,821,260,040,746,978,403,835,890,282,161,860,527,559,880,961,
875,881,863,536,776,603,975,120,624,994,354,309,662,127,559,424,935,477,969,
520,694,461,010,650,136,313,205,974,921,633,408,481,961,006,881,187,644,044,
533,646,989,381,558,657,986,668,682,240,803,972,763,787,607,262,480,453,036,
835,383,121,673,719,860,896,670,533,838,366,481,692,547,141,840,263,983,268,
842,102,005,109,795,529,935,120,829,718,473,623,974,340,040,688,487,913,951,
909,900,194,522,849,608,330,583,940,513,992,241,281,344,175,168,970,139,786,
373,794,703,962,176,407,837,290,053,050,861,961,837,020,207,926,921,905,981,
583,574,756,736,251,938,972,214,430,952,011,297,001,422,707,607,939,135,032,
534,707,200,787,248,789,717,777,930,320,498,149,347,144,476,007,460,242,460,
896,548,769,952,291,336,551,359,229,716,326,258,490,095,471,949,252,979,835,
392,594,510,990,956,905,000,576,337,758,263,922,094,756,478,649,633,224,210,
251,732,596,681,932,523,038,685,272,344,886,920,510,447,069,703,609,760,301,
364,462,428,784,697,941,615,634,472,005,518,288,953,864,131,317,811,665,781,
795,832,430,932,861,300,278,035,253,082,348,942,737,325,865,294,618,703,936,
893,393,040,876,781,250,096,890,160,013,665,057,097,445,639,258,614,784,113,
430,845,664,589,019,990,158,778,626,852,374,041,849,998,843,197,414,322,390,
707,296,526,967,352,073,073,385,167,022,514,933,065,073,839,306,962,303,815,
860,048,113,348,208,416,116,241,775,579,179,939,063,482,704,134,850,245,170,
162,150,884,468,648,331,322,225,420,503,853,011,068,448,645,837,722,828,122,
245,513,663,783,269,596,533,968,057,389,380,314,199,006,397,772,918,848,013,
039,086,509,895,186,701,795,530,058,912,191,284,758,697,620,586,868,355,019,
311,441,161,551,142,905,881,075,751,834,135,074,752,016,418,407,051,706,743,
647,512,028,558,214,384,009,717,823,821,511,994,084,847,519,553,425,933,175,
123,404,116,478,805,630,971,721,712,211,349,545,178,087,591,309,657,328,301,
204,971,695,888,634,013,422,631,238,987,905,277,341,870,388,442,371,767,821,
705,730,548,337,359,789,499,930,071,099,637,876,370,008,633,029,368,878,525,
968,679,189,843,402,632,928,960,834,142,313,429,239,398,132,739,270,702,580,
703,329,669,966,619,410,710,331,895,364,411,754,766,278,764,184,446,857,859,
645,964,272,242,788,320,378,418,024,875,783,043,057,444,168,483,561,830,002,
353,865,666,108,233,024,691,374,309,766,389,420,029,205,549,896,549,794,775,
857,987,710,600,848,925,889,974,341,032,917,970,796,659,440,519,440,693,662,
598,454,239,791,139,609,426,275,172,593,052,540,964,629,115,502,481,331,778,
080,053,469,163,992,706,272,040,165,760,053,717,923,628,289,144,982,201,582,
070,275,861,837,418,164,570,808,205,542,795,390,337,360,477,824,435,181,553,
934,357,581,039,148,664,337,741,184,426,161,550,029,295,323,920,819,218,959,
993,405,357,205,773,410,389,047,177,067,606,026,126,235,426,636,635,271,882,
660,480,608,154,040,773,228,538,283,625,887,011,197,964,925,834,025,594,462,
944,429,769,056,562,309,898,932,353,588,418,114,897,766,744,017,527,232,906,
143,732,457,386,152,751,675,393,140,742,996,061,877,790,534,281,209,707,856,
102,660,518,459,193,094,379,498,946,135,194,743,675,337,410,766,464,425,671,
157,021,199,079,257,645,381,994,754,098,493,994,517,086,245,913,367,408,053,
421,962,553,932,838,386,198,393,395,825,842,826,947,108,824,433,376,953,395,
238,235,974,948,037,430,606,580,214,481,919,859,294,064,826,938,750,374,062,
926,957,803,154,267,479,535,197,032,534,287,224,409,433,232,215,155,822,249,
969,525,459,013,965,548,434,173,286,002,547,752,016,977,294,216,142,380,113,
876,211,238,188,303,206,003,971,188,975,064,554,686,506,721,473,478,539,845,
633,185,201,864,835,897,261,684,335,195,918,300,942,490,728,594,334,948,947,
125,684,826,765,323,259,924,491,597,205,050,949,881,336,725,404,034,401,601,
299,127,452,899,865,487,686,303,077,744,439,824,455,333,831,261,591,474,432,
055,244,484,072,313,229,810,075,608,347,148,961,544,763,038,057,289,594,183,
531,005,925,732,614,174,297,986,603,016,878,668,439,608,398,202,613,361,196,
830,069,379,509,754,453,743,049,895,296,148,023,133,716,198,744,590,272,482,
129,228,572,123,597,264,090,575,002,455,813,786,864,093,848,214,568,856,573,
318,078,858,531,722,901,646,802,032,227,440,771,602,009,043,028,664,288,394,
942,073,087,260,709,411,297,080,975,093,410,906,638,134,077,387,590,435,137,
535,421,099,883,679,120,452,910,318,947,199,811,025,899,757,143,134,163,768,
111,765,744,538,154,341,205,768,732,926,234,939,884,203,372,793,180,840,774,
238,859,020,146,261,982,654,178,032,303,076,505,355,476,161,015,211,695,548,
028,649,623,819,607,687,423,067,996,226,814,321,190,591,389,912,472,299,697,
418,793,378,653,433,472,446,503,156,672,966,541,604,142,222,597,061,193,459,
010,512,069,678,956,961,711,232,828,922,068,354,978,482,733,655,873,892,987,
619,343,676,285,108,886,086,889,049,409,689,851,983,149,064,986,759,761,069,
344,722,014,628,623,226,901,884,850,470,405,964,387,769,248,226,682,353,788,
629,975,114,703,480,007,612,211,329,008,313,071,900,477,578,490,393,213,613,
043,095,727,734,191,590,777,950,798,068,077,282,588,905,664,478,981,463,827,
563,652,273,916,793,009,750,202,304,005,477,374,623,905,933,433,985,019,695,
588,849,279,064,165,325,055,704,155,173,642,197,641,297,142,179,791,783,713,
003,949,680,691,758,380,121,252,333,156,028,319,239,363,365,158,758,772,833,
973,321,143,378,036,956,126,263,089,231,411,083,971,211,325,804,454,389,164,
068,582,661,191,765,845,057,530,338,104,001,743,257,941,092,507,785,784,336,
697,539,303,766,010,734,865,833,442,336,749,072,501,595,705,079,572,994,477,
882,824,584,206,826,138,399,003,829,587,863,629,029,832,599,819,796,565,622,
824,334,615,280,770,773,699,594,319,794,746,324,357,856,588,947,353,259,853,
479,089,028,409,898,128,126,471,393,835,983,536,256,479,200,949,595,808,798,
750,678,947,494,419,159,007,358,525,809,418,563,776,948,923,202,657,834,699,
367,085,066,883,268,487,335,529,431,331,387,923,317,386,752,999,920,341,827,
249,381,127,326,230,009,897,676,942,642,641,699,460,428,449,829,185,294,608,
944,952,140,627,825,799,557,794,865,267,240,561,396,294,804,952,206,547,367,
756,315,669,197,800,956,020,926,715,235,177,543,388,138,736,408,513,155,136,
282,942,757,507,905,157,837,318,009,698,219,151,529,882,707,100,129,969,867,
764,497,981,526,700,374,411,124,615,747,062,742,994,385,992,735,140,225,156,
919,546,430,362,259,128,469,784,443,144,524,521,347,714,269,416,476,269,629,
601,853,268,595,141,888,161,163,264,830,595,616,010,073,493,416,426,565,983,
024,967,017,909,297,789,697,460,349,266,529,993,953,625,778,759,966,953,249,
569,846,922,351,957,627,841,418,876,651,403,473,516,980,211,835,397,343,437,
119,691,397,331,299,883,443,593,414,085,286,620,529,306,403,533,080,260,613,
056,667,332,630,534,092,990,130,099,252,144,742,489,609,743,310,831,116,295,
309,477,739,727,701,750,693,571,199,700,060,055,201,392,908,906,590,999,820,
998,180,703,916,653,580,138,975,019,564,684,211,836,966,676,216,023,046,636,
906,369,373,592,088,175,911,005,971,506,190,067,657,678,958,015,147,727,036,
669,621,440,769,580,852,174,294,427,021,472,272,043,011,484,125,706,862,407,
609,081,905,726,602,954,959,839,372,864,132,257,230,366,634,135,961,364,291,
678,830,165,529,940,086,284,089,747,848,959,660,170,684,440,189,601,097,399,
704,685,674,923,901,825,706,875,423,154,485,670,060,754,766,503,530,779,045,
037,296,962,023,839,391,276,828,283,482,634,880,715,394,399,265,210,841,421,
552,147,110,314,003,826,299,540,793,521,042,151,533,852,587,475,335,392,679,
627,606,653,730,716,556,251,028,637,983,300,661,462,831,272,274,175,876,013,
222,751,885,956,877,846,960,223,252,622,150,907,061,319,846,718,268,256,109,
076,320,633,084,743,721,552,316,416,051,699,417,680,449,950,941,587,886,715,
788,628,068,116,755,677,653,865,752,948,482,682,508,163,026,455,991,657,664,
659,906,551,417,929,091,913,460,032,960,066,569,517,355,616,589,720,929,566,
565,257,401,266,898,327,616,404,574,868,030,832,621,699,367,137,532,026,443,
866,439,585,850,156,249,677,300,820,123,076,307,504,407,038,440,629,039,743,
288,695,932,104,998,642,708,649,163,315,568,402,548,642,448,560,758,807,671,
608,487,928,523,842,367,680,695,059,746,626,065,935,494,165,898,968,170,120,
206,782,969,468,751,805,068,936,733,567,586,135,552,929,258,432,107,094,550,
881,866,583,376,790,361,637,611,231,105,994,965,479,797,305,158,856,096,081,
020,294,805,893,408,054,937,726,194,332,346,406,571,490,409,211,975,102,256,
092,754,496,411,079,603,657,530,153,690,804,192,348,842,649,123,364,911,541,
957,742,262,275,224,319,731,568,678,835,553,015,920,807,386,189,965,950,798,
701,974,291,030,506,926,211,011,194,805,789,433,194,183,766,978,968,288,283,
446,803,891,963,114,103,280,727,511,517,302,214,120,498,745,893,484,086,970,
433,275,245,522,475,006,380,023,178,683,824,713,120,999,997,262,797,999,634,
649,202,182,776,325,609,921,987,222,551,253,531,490,107,049,120,844,134,452,
134,073,902,441,911,232,136,425,546,953,776,738,577,312,758,985,605,185,120,
643,868,579,513,653,934,115,927,426,996,758,859,194,598,061,744,491,030,498,
025,348,375,380,952,861,425,679,583,671,805,121,893,199,374,449,204,103,181,
323,291,617,118,201,760,492,304,942,055,213,455,654,647,045,070,833,659,087,
492,673,098,362,951,941,845,503,265,286,475,536,057,840,519,290,499,205,268,
263,767,558,338,514,234,357,300,073,678,501,707,128,458,687,566,046,028,867,
749,138,987,100,224,213,519,993,996,797,085,279,240,521,109,031,814,652,580,
373,285,079,670,463,853,781,634,165,485,785,298,131,748,378,018,371,516,061,
860,238,209,981,277,906,884,673,907,292,666,180,192,046,525,478,778,210,503,
054,113,949,828,202,801,866,996,901,159,815,937,879,729,771,528,188,387,214,
320,028,245,030,153,671,859,532,119,527,430,985,464,081,193,480,668,248,540,
019,499,808,067,961,213,786,277,749,194,913,772,952,872,516,428,926,290,200,
254,585,198,896,383,810,029,692,195,481,507,728,291,271,278,313,136,484,093,
360,168,247,979,789,827,942,861,560,167,351,646,673,320,405,380,787,809,487,
627,124,419,891,579,401,149,386,383,442,984,196,180,970,368,857,953,029,812,
484,334,056,065,677,631,012,617,675,923,164,223,674,250,302,978,948,513,935,
037,512,987,015,877,335,807,562,459,642,536,723,956,560,893,139,432,534,532,
569,452,678,426,411,700,363,239,078,470,022,870,299,610,210,753,527,965,415,
639,161,091,376,636,075,192,137,178,928,757,267,640,218,182,921,897,211,467,
413,135,561,477,242,176,030,102,149,927,497,546,225,005,796,694,405,673,456,
842,118,146,374,483,748,493,150,716,181,260,455,832,983,125,868,583,007,048,
929,279,771,292,871,675,939,220,393,276,821,843,781,571,950,903,489,852,584,
466,836,436,211,800,909,817,956,464,402,378,895,271,330,388,936,897,125,965,
473,448,918,849,875,688,502,267,770,954,337,053,633,069,942,540,257,708,386,
236,267,935,713,803,103,448,452,723,920,758,637,117,925,378,741,308,451,076,
202,043,033,188,183,546,462,611,356,283,243,639,358,996,516,581,360,341,943,
411,665,194,913,569,368,623,253,343,153,482,936,186,479,413,640,366,313,417,
981,273,787,623,642,502,118,074,376,549,098,407,855,659,354,825,143,882,365,
512,523,994,835,869,441,350,083,575,965,123,158,240,397,663,557,815,847,873,
282,714,499,159,311,821,667,847,433,710,046,882,652,322,734,946,067,066,152,
786,701,700,011,242,908,478,201,812,481,850,925,614,170,072,303,420,047,460,
886,820,604,292,614,895,291,783,781,481,028,699,441,047,426,889,575,244,150,
631,957,736,680,916,724,902,434,106,355,763,960,018,534,159,979,542,524,665,
060,618,592,043,534,004,473,034,512,244,596,409,150,481,764,774,420,357,586,
331,873,390,637,311,831,917,916,940,096,083,502,747,369,795,403,898,367,462,
452,010,831,885,192,371,830,422,918,417,817,214,624,377,854,109,399,954,890,
129,755,313,514,876,933,041,668,633,597,128,901,663,574,754,682,966,225,377,
799,507,875,658,613,670,003,279,202,392,358,790,353,222,218,516,274,261,263,
743,181,126,996,973,566,436,941,097,931,162,040,690,773,597,127,672,961,920,
906,400,118,124,497,785,518,819,297,865,533,237,669,357,067,793,638,971,297,
227,069,620,169,398,260,040,239,701,967,907,250,558,573,100,650,646,258,801,
540,179,219,209,216,439,232,448,650,049,469,110,411,558,643,089,793,165,398,
709,641,300,989,928,902,623,877,893,702,419,150,765,921,445,956,032,428,692,
412,383,748,440,998,829,163,476,838,730,723,531,624,265,485,367,641,685,596,
668,279,952,367,317,228,039,596,321,351,713,062,956,210,378,833,724,696,353,
051,487,920,239,758,109,053,798,449,081,500,144,585,010,776,572,175,074,290,
310,348,594,447,689,450,047,730,234,039,420,539,584,562,683,864,082,517,640,
049,729,598,642,160,800,236,982,647,021,519,892,508,122,924,600,775,156,364,
825,724,926,001,455,673,937,675,357,924,471,609,566,656,326,696,127,223,426,
614,386,788,869,150,028,040,133,906,347,967,789,726,632,308,394,344,000,806,
597,055,261,818,320,774,500,816,549,786,251,117,431,533,106,240,376,283,973,
396,197,838,153,781,686,455,910,919,914,723,524,591,309,847,437,976,325,254,
326,158,099,534,512,829,450,689,045,374,422,023,681,847,269,904,135,771,107,
500,130,743,036,396,821,331,736,974,088,821,242,331,796,850,426,442,758,107,
130,169,323,791,053,367,816,008,935,040,673,922,886,627,647,212,101,614,104,
135,010,016,492,972,328,467,282,766,848,452,511,710,628,247,617,663,652,207,
749,127,430,649,189,002,859,373,353,512,979,801,841,792,832,142,304,543,763,
382,428,459,924,701,759,387,346,319,369,343,296,196,993,017,024,274,880,778,
134,764,744,335,172,695,280,966,011,054,425,596,077,542,025,234,671,669,949,
938,450,995,554,831,876,691,072,469,322,984,164,568,138,485,516,368,329,345,
148,334,884,686,875,851,116,327,446,067,790,133,302,231,565,971,046,669,068,
484,964,748,072,149,840,996,365,881,282,530,952,368,331,385,194,910,418,925,
301,483,208,560,087,576,988,807,372,273,657,400,531,560,300,311,455,006,080,
037,182,397,477,285,434,613,477,596,425,013,315,609,389,153,963,921,391,177,
121,783,929,773,624,199,013,267,968,310,896,224,667,412,107,208,350,926,718,
459,291,652,378,781,711,373,585,344,812,932,108,374,946,384,995,284,654,630,
381,004,012,959,858,314,674,610,349,692,652,478,435,983,476,142,391,187,897,
859,234,571,031,754,040,576,447,729,743,537,105,695,305,046,506,008,629,206,
635,024,812,590,244,007,597,029,424,430,304,709,077,042,772,348,340,734,706,
878,953,019,043,230,216,585,254,504,671,382,663,353,983,333,614,585,437,674,
876,403,017,441,183,617,058,341,887,588,213,346,667,819,523,770,455,196,833,
057,213,555,169,430,047,161,677,145,926,140,988,593,831,149,922,773,210,488,
491,889,053,357,225,641,261,154,959,568,529,519,490,009,149,391,691,608,985,
724,904,958,843,008,750,873,090,120,988,497,256,551,752,581,822,789,026,521,
167,790,562,201,811,222,783,715,500,589,833,905,061,703,444,124,149,854,839,
544,288,736,304,065,104,399,938,882,883,107,818,825,816,399,943,632,613,374,
328,104,564,491,121,656,749,518,667,848,886,643,086,840,480,716,114,675,505,
228,903,494,362,187,906,716,248,625,590,200,839,930,910,752,858,157,021,259,
202,370,091,817,912,143,615,919,662,974,062,426,672,129,158,140,138,476,174,
433,362,717,038,358,158,155,714,341,483,138,224,825,710,550,721,996,004,371,
341,200,198,911,819,914,651,350,450,892,980,938,064,797,692,536,051,779,545,
422,284,692,330,499,242,392,934,255,852,034,318,849,662,121,244,819,280,258,
914,593,567,715,378,143,071,453,669,712,421,628,323,462,699,904,142,642,286,
829,648,749,044,197,535,890,869,368,336,248,696,698,277,484,408,879,525,008,
938,402,994,909,619,273,081,619,218,842,948,822,226,661,548,339,087,635,932,
543,393,707,022,826,763,021,020,591,777,129,451,426,094,198,567,320,383,450,
418,440,470,404,160,580,955,211,477,250,256,870,096,692,987,870,951,477,362,
952,335,205,254,415,042,659,883,204,022,044,516,473,875,243,628,593,895,562,
523,381,716,538,995,557,271,077,794,489,510,768,004,849,285,913,015,286,321,
222,758,906,764,210,238,661,574,817,183,100,557,304,998,700,284,418,175,454,
620,816,044,785,085,336,068,211,419,008,232,361,437,700,523,240,119,664,479,
325,628,831,470,997,641,258,316,299,637,395,209,468,040,586,026,122,002,156,
511,848,410,892,148,349,446,814,616,708,314,755,075,829,227,592,573,251,910,
039,445,478,606,950,150,196,048,841,605,810,634,710,822,879,936,872,792,590,
574,743,840,975,439,041,289,961,880,317,971,740,028,003,907,060,451,439,644,
973,067,393,167,571,264,736,733,347,438,435,234,363,130,264,115,398,138,719,
942,410,178,767,896,521,569,471,503,295,606,297,068,524,664,206,499,375,831,
728,747,157,164,520,501,870,565,111,598,035,295,725,164,510,640,490,722,331,
675,057,728,769,171,180,685,931,207,961,013,669,801,843,389,073,157,389,703,
909,084,450,051,265,154,881,423,026,541,772,941,581,893,915,423,185,826,259,
198,473,443,497,177,070,438,646,668,946,741,747,693,784,631,044,892,200,540,
772,297,777,615,140,514,812,801,568,715,744,714,123,831,763,392,472,901,001,
290,607,827,166,691,213,106,673,209,216,458,669,242,344,254,739,484,303,596,
500,349,709,547,469,341,762,121,044,228,967,390,308,970,922,594,701,165,196,
955,034,546,840,419,944,111,834,004,176,065,688,701,925,072,609,327,408,835,
155,502,566,122,260,672,114,362,056,544,810,920,762,922,276,232,388,469,403,
836,899,118,821,802,080,002,231,299,449,595,721,258,020,640,645,298,655,156,
953,800,027,427,150,568,357,770,848,962,144,497,691,219,782,749,551,240,405,
648,286,252,117,736,897,744,281,746,651,897,549,089,682,106,949,861,900,714,
001,153,603,778,578,462,667,468,996,210,845,808,577,885,613,994,868,404,541,
798,155,427,692,527,294,247,847,719,336,657,561,032,389,610,037,893,070,987,
541,300,190,772,043,106,367,718,157,430,519,421,711,144,974,852,543,627,768,
717,805,889,995,924,731,582,213,571,268,520,839,104,281,048,290,939,262,547,
470,274,583,392,503,002,275,842,179,053,148,622,086,704,215,075,603,547,797,
969,895,931,843,346,266,428,064,251,587,349,642,602,768,183,594,712,215,367,
848,971,254,805,904,408,676,420,650,865,110,341,344,457,538,692,365,394,738,
416,077,843,224,538,687,714,158,939,850,577,721,954,018,610,895,608,685,489,
166,827,465,841,445,529,239,104,970,505,736,980,116,994,207,995,773,045,755,
237,270,046,061,285,714,981,814,053,274,509,222,661,850,765,197,688,191,758,
965,518,380,099,892,475,140,733,537,624,988,635,844,919,602,824,415,600,103,
291,291,429,192,310,998,466,164,965,307,096,344,369,039,368,378,669,399,436,
721,039,259,598,600,941,924,845,242,383,903,637,005,830,215,170,268,432,838,
608,166,710,335,906,061,600,647,304,145,529,599,537,662,385,230,558,318,012,
442,650,145,179,606,046,638,760,282,689,758,966,582,480,535,082,359,490,461,
660,114,804,265,915,135,703,376,378,362,553,388,640,687,552,037,484,054,868,
368,820,699,120,784,064,205,151,252,503,858,019,331,778,703,640,934,617,299,
984,039,124,800,050,917,719,789,441,126,077,875,868,691,599,107,846,705,450,
368,332,631,533,474,671,370,840,500,281,263,757,446,007,280,135,711,574,185,
618,450,567,469,401,755,737,701,141,397,100,371,845,959,478,490,608,650,661,
196,969,252,414,198,800,503,981,837,814,612,732,530,825,649,651,993,013,230,
903,065,723,475,785,781,289,632,006,075,496,775,893,736,877,195,913,637,659,
335,369,806,036,343,356,742,058,479,322,653,921,467,217,403,383,837,658,574,
875,836,553,509,060,516,178,555,456,619,813,283,392,083,060,273,669,165,775,
970,347,387,280,902,659,014,088,980,749,928,941,187,259,932,587,000,458,307,
007,658,309,376,187,845,747,506,002,260,571,728,654,712,841,350,579,698,022,
744,433,744,558,208,781,827,397,915,961,168,883,461,526,135,081,025,957,465,
410,488,507,345,736,314,995,716,758,160,626,209,418,403,843,505,912,466,354,
195,999,028,673,132,890,519,506,999,793,601,982,008,881,472,186,325,832,593,
195,388,024,266,098,139,399,440,383,740,347,894,890,497,329,934,219,322,058,
001,190,584,985,955,795,893,691,108,680,518,170,112,136,604,974,118,875,063,
304,692,976,018,994,151,405,269,662,637,000,304,768,910,190,245,353,783,825,
915,828,179,637,666,414,285,226,519,209,569,703,309,933,703,379,293,541,736,
070,333,524,105,215,240,631,112,651,624,805,050,924,166,778,662,778,310,150,
160,261,069,859,473,199,773,890,660,840,299,126,029,408,809,222,570,903,158,
605,540,019,631,792,383,007,271,248,016,269,681,890,681,638,506,803,495,483,
258,123,888,757,793,279,380,778,395,065,812,110,812,736,311,457,883,861,674,
982,611,812,863,334,670,852,726,936,088,394,239,627,124,625,028,975,015,660,
317,874,411,371,876,699,037,986,469,718,761,321,949,767,748,800,135,481,082,
559,444,935,269,012,125,898,996,862,934,367,309,175,889,260,717,588,955,266,
146,258,404,038,216,110,094,663,995,587,510,766,108,338,798,102,921,895,144,
653,573,303,748,946,751,412,923,464,603,449,374,482,846,613,088,155,601,101,
818,169,738,800,946,402,148,406,399,615,659,520,190,874,788,903,979,113,008,
604,772,584,427,881,228,537,571,254,568,871,941,083,737,707,224,126,991,263,
148,667,286,060,240,558,322,021,131,104,398,134,596,861,411,366,165,929,840,
084,429,603,476,521,265,383,808,515,448,691,747,892,771,711,108,997,063,640,
921,690,451,897,298,560,358,225,190,697,866,468,646,941,228,858,515,577,343,
051,655,241,242,080,116,073,108,970,474,016,256,699,841,931,091,540,828,640,
891,774,075,471,920,914,194,869,678,101,271,634,129,128,784,360,939,385,965,
567,133,723,133,186,593,707,040,577,446,797,843,834,962,407,433,213,911,295,
628,529,944,751,832,074,907,614,345,810,331,587,932,317,936,117,391,131,397,
118,910,245,787,550,947,591,594,948,942,801,622,301,141,978,058,371,193,682,
960,233,578,195,542,715,003,137,667,631,880,919,976,190,064,980,119,389,139,
678,331,057,273,567,339,588,895,327,711,317,423,333,380,420,258,705,679,322,
375,051,937,350,853,518,689,430,446,958,971,285,288,772,331,231,396,884,414,
455,401,961,434,510,673,677,802,426,642,667,593,637,924,179,300,267,089,823,
060,101,542,535,784,535,699,838,310,887,520,801,071,320,760,233,894,354,748,
508,361,881,092,803,391,786,401,153,354,326,082,384,726,465,203,883,473,741,
766,226,567,139,654,695,782,396,563,466,159,763,558,753,298,881,907,021,111,
172,328,629,986,309,566,706,626,707,972,211,544,488,618,744,212,525,915,016,
679,492,392,589,857,333,026,860,681,449,080,361,269,323,055,427,629,142,331,
181,119,066,926,993,920,512,764,102,664,847,085,765,033,328,934,628,830,716,
220,430,885,819,175,507,574,553,824,089,942,451,943,988,278,514,556,609,038,
093,656,804,809,773,044,711,561,888,065,035,270,206,292,966,768,043,207,815,
354,844,340,586,872,204,865,017,523,978,322,532,945,939,486,645,135,232,182,
356,807,571,377,682,678,035,641,462,941,871,710,052,168,428,612,521,906,296,
897,113,874,039,820,779,004,094,861,401,066,503,092,175,807,182,887,994,118,
366,155,075,471,284,201,234,162,813,231,430,353,220,852,960,271,411,138,035,
590,036,753,809,108,285,214,889,372,260,200,070,284,805,812,137,879,922,890,
488,558,553,579,150,179,133,506,364,771,319,134,911,353,574,694,186,363,396,
157,961,698,471,332,711,469,940,832,119,559,286,196,962,622,035,094,442,505,
498,253,228,377,763,037,522,097,461,910,390,322,731,082,050,140,230,312,917,
346,823,532,759,943,401,715,633,771,147,528,947,884,498,499,431,368,132,787,
155,276,292,680,947,578,201,137,244,009,445,633,364,344,323,267,705,568,166,
622,224,545,868,948,143,923,302,680,145,509,927,778,767,409,984,555,905,276,
813,852,179,106,640,071,620,871,786,060,340,952,885,751,905,649,763,732,822,
537,336,723,997,447,500,385,890,237,487,046,371,649,305,332,584,971,689,849,
022,727,774,475,080,154,679,181,182,826,384,753,988,301,088,822,130,927,882,
828,155,928,506,384,592,235,477,521,173,697,693,038,965,518,185,556,021,566,
164,569,815,383,489,124,000,219,891,141,492,959,156,465,788,193,005,026,749,
831,564,648,160,462,028,343,814,065,562,054,908,445,607,001,721,204,871,701,
469,402,072,507,512,731,562,451,520,644,182,297,824,398,319,169,879,609,695,
442,395,624,880,962,130,256,449,047,428,896,146,307,343,101,786,324,991,441,
078,718,700,092,231,185,202,685,593,096,677,256,432,646,048,873,596,571,570,
489,226,310,508,807,684,134,819,391,375,325,916,903,397,114,509,333,462,112,
352,600,083,718,538,192,499,051,327,737,144,258,641,843,198,810,639,024,103,
476,530,889,379,940,890,040,868,722,618,037,091,045,677,278,263,037,172,633,
828,241,569,542,962,035,919,836,381,930,237,630,440,712,630,311,895,171,058,
861,433,218,290,945,145,803,964,882,341,800,802,507,261,232,835,333,902,486,
576,981,461,697,365,836,961,140,681,356,565,150,699,304,471,248,401,254,986,
499,223,175,889,676,427,008,304,103,161,378,521,880,195,377,304,917,120,570,
492,843,099,094,832,753,878,396,969,037,978,850,286,646,189,966,435,359,562,
920,492,645,476,445,894,374,214,693,302,255,724,913,388,346,085,545,406,395,
058,451,835,123,437,097,791,662,245,180,459,839,447,229,103,669,095,788,952,
285,900,330,816,320,467,081,045,017,782,621,212,623,877,434,666,294,356,730,
868,615,955,354,708,615,440,069,651,514,805,256,417,200,703,009,656,108,807,
718,000,475,369,981,903,250,195,830,982,712,184,410,375,399,456,696,451,744,
745,251,295,014,939,418,441,846,541,419,601,572,249,585,563,646,878,323,011,
513,858,732,118,474,698,971,356,514,723,223,635,189,605,644,277,127,257,718,
102,393,249,159,126,171,855,832,466,619,449,807,881,653,219,237,330,051,879,
905,025,301,982,791,965,096,964,882,651,794,314,385,405,018,140,397,051,246,
720,560,484,205,834,236,275,760,289,572,248,120,457,646,925,646,807,400,459,
518,450,279,117,973,652,804,377,439,451,014,898,651,005,527,749,027,829,400,
073,268,977,329,873,508,219,987,632,464,266,048,833,513,569,716,973,363,895,
435,449,944,111,243,186,153,847,161,624,553,278,311,225,682,707,100,976,907,
356,475,809,879,964,645,903,521,453,852,586,427,916,225,844,270,434,751,894,
032,941,274,832,279,092,382,933,848,086,464,256,628,766,949,395,558,999,021,
625,501,584,801,892,575,379,208,886,928,956,124,961,488,079,603,024,850,030,
410,241,351,183,265,909,449,305,297,140,072,512,503,815,922,940,713,867,516,
733,983,871,836,868,230,726,662,716,427,072,849,761,351,939,600,765,464,195,
081,762,871,075,847,598,959,563,366,101,000,967,152,266,937,710,162,515,504,
088,753,325,653,878,129,580,683,782,639,646,681,915,506,753,251,151,989,243,
719,709,678,397,480,260,955,035,619,517,516,739,884,237,828,314,240,377,861,
720,010,399,018,959,002,496,872,801,637,135,792,469,096,177,375,875,254,175,
023,472,653,945,142,800,886,398,694,547,035,050,565,253,244,586,088,235,844,
572,910,728,283,248,944,142,326,709,762,962,920,698,060,550,582,037,255,306,
567,020,994,308,960,296,926,269,706,301,753,841,312,082,267,212,106,187,041,
312,845,091,681,609,927,194,557,594,933,721,812,227,104,704,647,811,938,259,
959,874,882,760,109,148,433,822,526,075,191,828,140,335,359,681,375,970,690,
524,222,956,097,497,327,622,268,453,211,446,153,869,152,910,613,696,775,381,
974,310,090,001,103,918,914,141,485,505,356,931,835,046,113,300,478,331,578,
602,552,915,406,661,176,402,746,906,442,292,956,625,546,961,616,257,846,749,
330,250,892,569,540,515,872,409,448,298,275,505,491,860,710,410,790,783,734,
414,730,376,162,642,628,187,778,845,955,700,196,213,007,883,040,783,300,073,
402,455,826,000,417,790,115,334,857,934,875,858,115,997,353,615,582,379,408,
556,601,161,440,635,333,483,687,641,727,061,779,954,705,941,392,327,203,785,
867,590,496,912,276,660,644,885,940,401,519,376,140,174,594,518,736,026,695,
029,183,747,465,607,414,685,075,186,272,956,684,259,513,796,454,263,977,284,
834,489,309,990,902,052,716,864,411,755,103,537,651,394,111,975,612,725,526,
422,651,403,316,633,928,647,311,640,392,713,373,297,210,184,151,405,756,854,
970,307,950,571,072,923,281,205,236,800,942,055,620,890,835,493,971,994,866,
953,574,452,941,173,844,540,666,489,180,690,056,348,490,060,477,582,834,275,
235,004,698,795,560,797,521,514,541,299,127,548,565,043,818,158,901,476,790,
648,555,230,845,686,773,965,831,917,122,745,452,481,579,395,475,966,797,380,
982,324,446,760,319,652,572,690,248,019,042,396,566,342,218,281,419,775,714,
100,551,003,310,844,985,391,781,276,221,059,864,248,954,194,076,258,344,693,
836,001,892,992,499,126,121,521,657,760,216,828,224,529,721,696,552,953,139,
704,896,632,843,091,330,792,203,252,458,559,353,955,676,241,694,914,644,449,
387,825,683,237,193,404,308,987,564,773,896,597,418,330,766,215,948,834,426,
124,068,795,204,743,718,380,875,756,412,151,067,503,054,376,924,295,527,927,
417,229,195,871,877,244,330,907,698,628,458,757,977,446,654,297,765,971,498,
289,082,929,328,705,094,639,521,751,961,993,178,064,175,452,673,031,915,404,
437,524,122,081,040,976,848,290,707,357,740,997,896,657,985,565,670,440,845,
685,406,975,794,706,725,658,574,882,393,691,617,014,006,037,129,132,400,338,
615,378,167,409,384,309,032,884,149,443,590,519,089,581,483,492,715,554,147,
653,477,546,693,912,302,929,953,534,117,150,526,812,315,840,734,512,029,743,
176,508,716,525,757,548,402,498,283,635,534,801,708,017,557,053,739,279,520,
237,873,310,945,446,908,143,637,379,849,168,480,481,229,445,319,623,075,826,
170,307,106,178,123,350,267,885,009,857,476,408,602,137,825,402,138,988,425,
644,064,812,413,578,537,848,403,750,278,899,385,286,028,224,783,429,296,030,
794,044,884,996,684,709,430,167,132,184,121,154,167,686,158,088,200,670,121,
306,323,686,003,495,047,343,931,607,051,562,437,050,367,903,600,795,834,774,
340,794,720,971,756,997,242,096,072,397,462,332,890,961,329,777,384,874,482,
767,802,311,244,721,559,793,695,445,433,048,041,201,608,183,504,119,333,096,
998,439,849,052,650,850,273,754,790,875,022,261,845,059,765,527,189,700,888,
230,683,604,312,956,126,027,645,603,184,691,549,432,344,508,702,248,549,760,
050,692,609,288,383,958,617,218,375,474,888,548,800,648,620,298,231,410,761,
943,081,145,317,435,784,873,206,605,014,089,398,556,370,088,126,735,904,674,
990,188,471,178,236,139,171,491,226,840,103,349,887,743,216,540,191,769,544,
438,384,834,636,386,868,147,265,435,817,236,405,045,946,418,274,987,822,450,
209,304,579,254,544,934,592,108,805,067,430,826,337,471,268,337,396,229,127,
993,233,677,470,393,089,087,383,495,038,005,913,823,438,730,146,778,796,098,
315,449,484,813,616,037,929,753,817,776,347,602,172,975,255,832,212,922,888,
614,053,014,633,652,486,966,639,747,962,755,579,305,270,641,508,783,032,565,
535,312,209,426,785,648,063,675,199,928,442,495,875,313,935,760,464,198,666,
460,680,404,469,217,539,335,111,505,418,630,484,206,466,704,333,745,487,676,
990,173,034,473,476,760,127,078,133,768,385,930,245,510,180,461,124,332,768,
743,927,569,556,185,529,388,937,827,555,300,567,124,521,933,809,365,142,800,
636,684,716,345,025,721,214,384,207,321,895,312,281,167,507,387,084,744,067,
877,034,140,919,233,797,972,912,981,166,242,975,573,696,910,526,002,659,122,
968,832,878,122,800,610,342,182,360,410,872,850,640,964,238,770,806,817,515,
711,404,779,479,476,132,949,023,641,154,825,066,172,980,470,563,301,560,893,
799,571,298,836,979,209,881,044,732,961,508,991,577,824,859,675,469,769,947,
084,579,576,141,820,695,990,259,293,936,761,593,112,617,960,743,880,493,770,
859,811,532,917,257,945,087,306,256,455,280,785,280,838,086,295,488,088,216,
966,800,003,660,920,257,395,468,842,063,761,039,236,057,068,326,387,586,882,
209,145,804,845,627,046,553,652,350,223,397,409,954,969,081,867,796,616,771,
341,135,614,052,037,106,939,815,550,363,654,862,936,902,815,047,432,461,120,
549,662,846,830,580,467,775,842,009,701,032,263,078,722,175,870,325,946,888,
027,319,023,814,197,504,373,371,188,252,976,444,415,451,214,721,793,002,775,
557,915,607,058,461,960,565,783,204,083,339,460,716,680,126,525,775,695,728,
480,978,954,683,477,792,771,079,332,196,679,931,118,764,726,375,041,400,676,
148,332,657,704,833,397,738,863,011,996,194,410,037,068,751,933,340,567,519,
572,371,171,512,259,935,049,738,129,475,481,773,457,949,739,882,573,797,689,
648,217,856,158,559,819,219,037,948,563,289,306,926,049,732,616,751,487,461,
198,300,246,100,614,233,059,981,168,261,064,492,841,372,770,560,072,756,868,
307,255,105,292,645,130,316,293,061,032,654,125,461,660,179,702,334,719,337,
353,541,278,124,917,535,295,659,892,682,227,223,952,628,504,580,411,427,046,
870,059,113,697,814,909,595,102,914,586,083,570,098,452,038,014,393,465,285,
044,882,097,074,957,966,271,883,369,917,000,944,001,645,196,779,622,889,693,
018,119,675,545,904,900,233,100,091,197,026,143,767,215,010,782,650,480,108,
783,477,016,015,465,591,546,317,180,666,992,561,628,056,862,094,268,090,548,
935,876,048,082,796,430,956,072,875,487,630,726,815,890,094,865,960,563,724,
337,717,449,904,264,824,243,516,194,206,122,201,643,721,283,765,632,721,348,
267,824,860,742,760,166,954,549,717,082,440,591,049,582,999,286,677,940,579,
872,119,126,428,187,933,985,443,821,265,228,489,372,488,644,152,392,772,279,
191,970,680,507,278,805,094,964,617,324,369,392,310,158,076,410,023,667,976,
780,370,896,333,483,611,050,032,401,030,520,190,450,383,010,919,255,231,383,
970,968,015,701,556,899,195,356,427,738,549,925,578,815,495,966,674,506,315,
044,872,672,731,459,968,719,376,106,773,188,234,885,475,111,627,553,071,854,
269,937,045,836,789,594,812,147,676,648,966,384,717,981,773,359,737,195,418,
194,778,069,467,224,286,874,922,861,573,764,394,927,268,157,402,635,874,091,
614,463,497,268,143,519,701,996,716,738,142,709,975,105,323,433,601,453,204,
276,378,678,714,816,358,650,922,359,522,979,539,631,462,054,629,507,648,279,
389,976,018,897,341,835,938,622,408,901,397,721,740,092,260,051,355,774,171,
920,703,495,423,298,733,528,070,134,627,218,234,488,930,252,156,779,185,764,
123,330,086,495,399,880,140,854,908,739,808,005,914,565,288,780,675,624,222,
030,632,197,640,566,048,899,554,855,787,415,625,679,645,711,905,369,509,946,
598,871,127,838,531,113,340,015,033,730,684,632,374,847,418,769,282,364,946,
161,482,799,205,750,134,505,644,641,428,866,122,304,636,767,990,626,069,723,
441,884,105,327,886,072,500,788,417,521,481,318,872,842,089,416,656,348,439,
006,047,216,976,860,969,608,092,266,522,724,116,170,355,313,066,043,520,554,
035,229,688,855,090,210,074,211,889,912,961,105,576,283,995,689,555,548,830,
100,438,405,685,503,034,418,338,520,139,721,729,357,903,483,131,553,082,448,
297,169,207,055,091,767,191,130,342,430,886,511,302,971,840,309,160,632,873,
458,263,255,042,337,893,196,087,149,362,043,355,557,058,092,530,335,472,631,
910,279,251,116,235,195,131,470,607,860,850,113,713,836,593,424,848,855,595,
962,460,902,541,816,584,670,644,737,582,524,428,958,318,771,274,914,412,475,
591,812,309,965,467,026,507,885,588,718,284,682,346,953,317,654,622,712,304,
924,153,781,196,321,123,243,843,564,946,413,310,771,272,759,653,344,881,681,
758,196,741,852,952,732,370,574,297,315,497,842,779,543,380,974,807,800,023,
863,978,142,930,661,564,927,414,374,015,098,556,570,428,324,332,951,247,277,
727,826,128,564,721,578,073,349,522,691,625,120,605,849,461,822,073,217,866,
182,379,910,106,855,032,580,267,303,485,151,322,076,117,315,278,972,937,815,
424,695,466,779,894,167,781,798,592,258,035,940,921,223,597,608,796,544,698,
006,836,079,978,184,313,632,027,786,551,442,216,136,251,105,063,200,781,069,
425,476,120,661,895,948,539,141,127,705,612,040,210,175,155,077,973,857,452,
177,663,689,077,616,028,025,739,567,874,411,796,159,940,067,812,146,535,082,
563,457,667,746,771,593,331,907,722,855,565,368,571,708,522,173,107,158,185,
729,830,006,652,606,795,266,935,657,597,317,820,431,064,387,744,794,116,009,
752,705,288,041,955,057,237,132,863,375,740,267,220,894,599,147,708,537,098,
982,778,941,698,087,047,618,974,826,946,171,400,028,809,950,358,882,539,348,
367,601,427,335,458,008,290,610,999,886,893,625,537,946,798,910,181,259,122,
024,107,861,052,547,868,965,372,213,911,777,790,053,132,753,785,817,719,338,
492,356,385,191,147,505,217,319,769,811,866,449,975,391,832,653,643,071,290,
940,534,561,964,135,396,638,612,316,247,839,133,913,818,224,817,776,063,656,
125,174,677,266,887,258,704,223,214,832,169,833,908,419,755,237,477,374,201,
924,582,932,565,437,147,173,505,019,345,953,737,536,339,783,557,980,876,019,
923,675,424,238,969,409,327,861,815,544,484,888,305,534,452,806,500,552,481,
289,064,531,845,346,554,326,275,385,559,345,302,861,003,971,329,513,461,531,
393,059,628,682,055,382,443,242,315,486,897,403,167,232,890,553,242,404,685,
225,334,453,726,729,508,570,427,236,621,330,057,068,979,290,085,888,835,799,
700,867,515,474,372,749,100,418,501,973,082,037,776,575,063,266,901,871,244,
026,599,503,496,995,807,671,195,474,970,264,901,865,412,633,921,015,109,679,
383,945,421,352,347,942,765,829,281,636,317,598,236,670,992,831,879,085,131,
627,669,821,514,518,694,341,813,062,338,696,059,449,344,663,658,661,932,418,
578,027,860,784,217,583,407,743,740,834,197,275,549,933,593,964,696,047,103,
026,165,284,401,417,910,658,603,836,118,472,193,977,608,515,729,359,982,485,
374,303,984,059,735,266,594,821,511,261,655,966,597,788,265,658,685,688,339,
538,215,999,476,032,595,981,763,911,797,496,680,930,845,519,656,585,101,194,
563,372,751,258,299,391,341,281,877,160,783,714,960,356,178,198,155,718,274,
233,116,409,623,778,353,756,270,580,739,571,839,093,713,841,068,125,196,952,
610,366,185,447,752,587,983,239,064,473,323,300,333,569,219,463,567,464,865,
002,943,221,794,043,023,328,287,660,907,592,078,184,859,016,587,059,034,462,
781,126,424,333,348,065,630,212,716,653,202,525,679,371,172,431,488,831,740,
881,122,385,163,956,912,261,773,098,863,883,840,860,668,987,470,037,057,584,
652,525,649,966,253,283,782,713,265,312,288,934,700,967,007,538,191,632,199,
222,449,874,315,705,073,409,009,757,563,339,235,380,623,152,800,572,383,983,
344,662,313,444,058,028,667,965,557,868,479,361,364,162,792,257,453,102,827,
576,249,383,049,050,419,866,861,529,380,673,176,836,887,275,453,688,202,701,
129,707,074,603,677,898,499,465,938,395,050,529,596,531,652,045,616,341,371,
143,879,454,237,159,585,190,429,647,824,400,106,047,868,604,112,572,247,003,
945,580,249,194,183,893,780,234,621,074,970,569,251,916,044,558,039,697,940,
015,734,798,749,472,228,685,207,531,663,049,555,160,134,144,536,392,966,252,
054,228,280,469,509,466,543,939,700,207,484,906,740,166,398,398,042,272,756,
393,151,300,106,518,797,213,890,716,699,322,268,143,536,016,289,855,873,417,
423,412,243,720,666,469,765,146,095,180,726,373,391,950,673,106,681,104,337,
448,180,046,209,099,495,062,505,943,345,498,292,449,496,135,338,520,279,860,
084,178,616,682,105,604,459,104,530,534,787,620,686,796,081,661,018,462,107,
368,695,522,216,801,961,037,194,328,340,119,796,655,139,196,209,613,423,896,
055,305,310,080,226,683,415,932,868,319,868,755,288,388,641,480,519,305,283,
558,987,178,302,062,961,536,259,556,923,450,075,898,914,224,141,510,167,625,
156,623,437,204,111,154,251,393,397,340,608,507,564,638,836,111,881,170,470,
844,468,156,327,622,412,644,530,484,266,311,754,224,230,798,601,164,701,625,
148,859,979,926,159,743,022,956,834,995,435,260,593,045,394,063,089,385,305,
904,215,766,256,741,953,023,371,507,907,029,448,871,565,686,957,209,142,343,
178,340,734,745,352,883,034,862,318,391,690,561,561,870,047,213,655,545,281,
455,969,568,773,912,786,134,445,215,822,955,145,848,750,145,645,082,734,963,
086,068,103,332,713,440,014,408,108,422,255,589,827,352,439,463,004,795,904,
904,851,441,940,635,028,050,647,879,123,105,299,120,680,214,322,222,182,253,
414,621,639,523,252,985,166,252,998,758,315,769,237,618,291,638,559,048,158,
932,202,510,939,493,512,433,965,858,339,123,891,172,268,296,614,077,399,260,
292,316,055,631,589,515,407,687,845,529,662,882,623,258,566,861,524,934,422,
380,724,939,146,823,747,708,267,715,493,892,766,574,684,334,770,363,588,258,
089,860,878,996,479,888,178,988,524,355,048,635,650,546,664,392,421,747,754,
533,576,230,898,845,140,530,939,811,297,333,896,376,226,815,468,039,247,917,
276,817,625,058,324,589,664,008,749,127,624,540,820,954,511,732,670,196,167,
043,284,465,057,091,002,182,615,607,321,825,851,524,077,999,937,092,666,957,
480,476,103,937,612,829,472,743,459,655,093,838,467,109,078,379,983,003,895,
920,691,380,919,356,685,073,121,151,403,565,746,966,150,823,098,225,105,645,
154,397,664,740,020,145,573,847,877,368,553,979,234,720,480,738,517,217,514,
863,037,880,927,926,148,016,766,444,031,762,606,211,204,787,194,188,816,853,
465,673,076,971,638,094,883,211,938,192,956,924,891,717,440,735,865,474,370,
440,335,212,431,727,327,414,916,134,073,250,040,868,942,094,144,290,662,853,
258,891,232,175,126,735,626,008,105,935,056,573,426,711,504,992,075,850,328,
932,874,231,240,347,652,953,470,487,669,994,837,843,919,974,625,505,286,986,
856,555,859,280,950,079,296,306,186,425,762,841,536,848,097,952,153,682,445,
464,992,660,088,716,064,314,408,433,664,988,417,671,606,613,431,027,765,966,
694,329,707,835,821,282,606,571,470,241,338,539,643,995,455,310,496,056,772,
653,496,861,129,466,157,176,120,841,136,450,045,240,742,758,485,321,303,838,
076,575,990,880,794,312,361,945,010,719,301,255,378,296,333,673,349,325,871,
887,458,772,578,925,880,150,214,606,091,413,511,976,519,209,943,836,629,655,
055,926,141,600,752,439,064,004,191,896,602,321,629,019,344,385,972,059,927,
638,013,051,425,986,238,187,088,701,164,237,378,575,244,249,244,403,220,917,
697,073,957,761,213,613,324,887,527,999,621,099,368,561,511,107,990,109,205,
346,073,105,220,670,385,263,449,968,247,419,005,883,842,234,016,210,593,148,
905,428,192,142,140,701,173,193,143,179,427,604,792,973,077,294,595,705,891,
214,574,668,443,000,407,662,135,444,105,194,488,409,237,819,377,385,544,568,
116,764,814,605,096,005,429,932,787,688,140,682,666,207,736,933,227,852,077,
358,821,261,222,131,836,716,998,952,846,612,542,331,486,088,575,860,852,428,
442,916,095,387,552,298,324,691,942,436,799,334,439,572,258,360,315,106,750,
534,937,310,452,260,217,523,769,469,112,245,874,957,418,436,386,636,427,977,
915,221,876,625,564,968,165,361,145,719,477,806,689,938,538,842,894,319,255,
752,858,792,644,570,321,157,936,350,741,800,548,332,764,245,478,779,511,274,
882,617,854,953,943,065,051,143,165,170,189,251,980,794,050,564,486,450,973,
768,764,774,686,297,014,334,956,714,087,671,187,291,407,572,877,214,445,890,
141,412,888,746,397,624,762,322,671,594,527,029,696,936,276,443,309,878,864,
855,791,290,081,844,199,369,960,804,375,776,778,131,697,967,960,627,665,361,
876,864,385,743,389,993,704,311,096,443,633,480,849,957,128,245,059,066,857,
864,835,710,306,635,351,053,544,800,759,595,769,454,152,063,988,242,575,159,
236,192,985,731,018,915,603,120,356,366,756,407,256,279,739,304,505,660,729,
111,743,784,442,279,268,392,291,874,475,223,632,741,492,676,214,718,637,417,
712,927,219,722,970,792,457,295,046,732,396,637,281,022,137,835,659,353,703,
001,624,574,838,722,996,672,785,563,818,943,327,193,657,580,874,839,933,701,
917,480,816,840,114,320,385,602,492,732,918,846,585,224,622,314,460,214,734,
455,295,840,675,403,850,405,463,046,894,644,508,725,797,164,653,588,748,658,
793,185,989,485,073,209,681,184,689,018,736,623,269,224,433,455,388,778,891,
327,464,472,150,652,687,787,053,778,348,205,509,271,537,346,413,007,583,087,
711,806,810,514,692,144,817,548,929,579,859,751,322,653,145,520,433,512,723,
174,348,178,030,178,723,046,790,615,462,095,855,006,698,649,157,122,247,973,
855,449,833,028,551,254,179,826,229,444,943,087,340,197,876,295,581,603,674,
049,753,902,765,522,839,861,276,404,563,156,455,901,422,592,881,526,904,199,
687,609,655,745,268,200,470,153,417,184,965,119,034,329,885,724,232,512,284,
738,277,482,077,715,334,134,952,202,148,730,864,825,034,334,146,970,495,805,
128,864,239,081,180,460,527,345,269,535,641,540,233,521,496,933,597,129,765,
469,181,779,659,864,342,621,985,313,014,702,755,508,769,339,090,488,153,167,
214,079,980,185,804,944,054,511,222,440,156,544,322,410,490,617,936,688,433,
434,264,048,656,510,318,563,584,662,313,807,932,988,469,534,643,301,050,731,
397,414,138,279,099,903,181,666,307,521,593,198,095,254,773,139,033,806,593,
130,198,786,611,597,906,415,280,043,038,922,778,292,429,704,271,278,562,351,
253,201,507,183,626,047,236,713,417,897,606,671,759,982,418,628,914,582,856,
318,404,606,862,095,359,142,827,847,772,828,258,347,668,812,596,554,502,274,
932,886,015,352,279,645,092,368,058,443,402,967,422,095,217,859,905,290,352,
073,792,301,868,284,866,064,140,068,835,814,147,071,097,711,411,111,419,764,
352,932,009,002,334,502,209,786,764,854,560,295,107,318,852,072,533,105,413,
011,933,042,679,960,577,533,475,363,974,806,982,282,158,726,649,098,272,460,
838,813,306,419,074,302,611,962,352,199,716,931,727,890,609,327,276,373,177,
070,874,808,918,230,794,563,505,905,182,102,310,374,370,948,886,666,217,856,
730,182,703,139,926,998,275,512,755,134,618,989,015,901,457,430,562,664,580,
534,997,819,611,957,778,993,847,815,295,972,659,356,867,743,178,924,968,299,
605,107,644,390,724,086,316,038,514,131,084,855,992,037,530,933,343,319,880,
995,667,907,659,301,963,732,240,598,021,046,846,254,892,618,295,049,954,703,
969,175,166,915,133,967,820,660,538,351,209,793,076,947,473,175,335,937,556,
059,485,529,579,360,251,079,403,980,948,660,554,111,190,997,155,299,040,765,
252,587,914,110,421,110,413,580,500,428,719,722,176,995,762,403,103,756,530,
358,128,738,904,244,309,850,814,351,108,167,388,728,749,472,743,038,397,800,
497,173,600,749,337,310,799,096,741,349,190,672,499,783,807,845,620,689,591,
926,215,342,755,879,304,646,312,915,549,546,808,785,108,217,528,521,336,782,
743,267,416,567,427,013,404,223,184,977,824,640,802,848,643,268,582,285,485,
347,152,010,140,075,080,403,749,779,684,485,374,645,209,899,447,166,990,569,
918,739,785,801,790,914,936,712,158,990,037,647,814,407,146,196,777,289,334,
394,919,475,345,313,555,298,323,429,378,860,356,188,012,654,021,874,910,817,
569,236,655,102,185,274,896,060,555,746,085,080,282,337,654,812,604,813,403,
644,910,227,710,793,659,642,342,242,133,605,050,047,716,597,647,738,574,113,
086,003,385,445,463,696,482,748,571,011,518,786,628,396,180,523,393,277,383,
920,346,582,363,780,122,316,077,691,794,148,924,976,967,695,122,345,348,066,
271,160,474,838,030,621,941,104,330,180,239,826,190,646,934,291,906,848,115,
581,406,492,782,436,468,592,978,139,750,091,171,171,619,336,851,253,460,285,
702,490,248,168,588,382,827,758,281,492,921,278,688,540,379,714,307,923,187,
050,593,821,891,294,140,793,372,946,952,832,443,196,222,850,641,502,156,154,
203,973,856,370,548,938,593,833,762,845,048,637,335,501,598,466,897,224,782,
938,560,765,169,928,412,137,717,571,851,883,926,581,634,315,437,538,571,263,
475,948,101,373,983,045,907,405,000,898,472,262,390,364,296,887,221,681,366,
732,374,027,371,310,743,870,380,014,196,910,147,941,817,718,677,314,003,746,
262,069,021,092,682,757,488,542,348,849,431,916,858,010,112,392,615,373,807,
807,558,621,684,545,533,787,537,775,664,975,028,822,729,110,371,126,967,781,
501,962,204,977,708,595,893,072,784,647,784,363,511,528,768,283,934,686,066,
233,883,358,362,101,970,991,975,753,763,357,319,228,664,799,890,080,920,676,
810,037,370,415,145,441,923,395,719,849,829,009,740,970,799,216,606,833,503,
054,847,227,864,742,211,367,094,366,204,397,779,334,435,359,783,121,256,126,
008,314,783,466,417,827,696,034,994,847,758,954,928,493,657,254,936,140,078,
629,797,297,857,579,188,154,867,632,681,762,279,005,807,642,408,439,413,762,
299,085,024,149,248,357,208,964,195,695,725,109,255,906,366,063,013,065,867,
390,838,154,506,996,871,235,750,604,558,407,587,711,989,366,242,573,444,050,
013,347,936,010,005,947,960,990,465,440,938,558,104,624,547,094,625,562,929,
038,746,414,495,629,882,417,558,331,594,321,232,653,475,519,706,625,430,586,
115,643,143,402,199,704,652,747,429,731,443,886,210,771,118,646,174,438,395,
637,328,773,458,263,770,396,648,112,433,021,272,336,566,538,549,234,641,449,
836,501,262,738,908,658,614,607,775,015,889,130,411,252,090,989,243,701,341,
385,128,509,450,013,342,429,166,063,907,266,541,187,548,113,695,377,574,282,
563,260,597,104,921,573,680,532,127,472,564,086,749,906,797,681,704,052,292,
223,670,185,479,039,758,978,956,449,163,357,310,111,998,338,758,507,400,388,
807,671,757,414,242,533,623,140,203,922,564,982,494,975,480,373,033,295,876,
203,818,923,800,436,141,116,445,752,201,407,954,391,129,725,315,788,732,411,
701,730,072,855,405,669,834,825,612,948,760,703,413,838,484,167,369,469,981,
889,742,898,248,986,013,686,026,870,048,036,777,372,670,176,866,647,614,471,
247,204,196,529,882,369,507,186,974,782,655,095,144,733,226,138,228,521,498,
953,430,461,358,931,344,169,129,220,727,108,130,289,651,675,430,425,296,891,
821,969,792,362,269,372,669,055,954,946,965,207,205,985,050,598,448,550,777,
769,136,737,098,910,011,378,290,599,584,376,931,368,749,511,585,424,930,544,
206,583,132,707,673,463,764,993,133,591,451,498,592,774,594,012,388,348,241,
375,237,652,040,540,316,921,206,096,049,379,715,634,336,641,862,275,299,247,
782,837,456,288,905,597,287,079,224,287,576,747,004,139,260,265,340,263,791,
672,992,268,194,519,463,078,279,494,562,791,388,432,553,218,879,665,608,401,
655,861,360,099,414,450,960,035,951,177,249,592,685,231,903,286,799,511,111,
076,018,258,379,512,722,097,674,819,451,848,422,334,563,312,132,443,942,925,
818,448,586,618,341,025,007,136,054,214,505,588,697,688,145,232,430,270,994,
993,475,084,241,770,326,938,737,952,689,625,618,504,373,999,030,963,739,764,
675,253,901,638,457,779,459,551,416,565,523,636,901,660,384,086,893,927,067,
964,775,080,067,997,958,801,620,864,781,440,568,534,873,011,161,508,341,863,
022,725,417,805,510,874,663,808,253,486,025,406,057,984,235,663,705,441,187,
994,185,232,368,876,517,420,177,281,222,115,675,170,954,788,062,897,488,655,
454,298,890,826,119,144,482,174,837,217,830,258,730,524,243,333,214,020,073,
446,813,970,816,377,952,880,914,343,609,442,605,824,322,024,556,499,053,304,
905,896,650,270,578,899,445,737,435,039,715,429,699,164,703,438,785,985,460,
656,536,215,036,486,966,115,849,740,996,939,172,809,237,500,097,330,618,565,
167,125,661,980,123,841,207,897,411,292,401,945,247,669,731,028,729,324,907,
446,589,521,726,632,041,550,369,125,782,859,015,681,338,119,124,430,950,586,
810,871,748,393,138,288,789,596,326,439,146,015,968,127,925,337,826,047,702,
908,735,259,364,562,706,792,678,238,734,725,202,471,401,259,545,567,429,571,
110,362,192,446,933,553,195,477,065,531,751,872,663,368,399,626,328,208,122,
086,247,439,549,196,929,218,008,169,174,696,030,416,102,920,383,535,314,091,
541,252,472,360,051,602,450,614,532,647,074,674,990,252,719,864,122,072,926,
133,920,039,498,434,473,845,653,554,085,280,403,044,314,127,345,237,516,800,
732,883,525,009,465,798,903,877,028,815,336,106,104,556,520,751,833,116,314,
391,351,832,383,761,607,918,256,719,796,889,300,105,453,974,079,238,199,567,
144,923,006,364,393,342,414,324,490,174,572,198,644,821,415,802,446,121,635,
540,276,126,093,653,096,389,449,445,871,491,433,763,581,790,537,547,371,669,
287,919,876,403,822,488,381,178,563,572,113,847,668,068,850,117,674,470,826,
072,733,188,017,597,973,837,463,241,501,713,869,398,037,712,964,923,360,551,
509,985,678,870,072,679,055,472,919,939,273,742,671,655,821,508,048,642,225,
896,039,916,885,000,047,766,342,315,107,756,882,055,091,190,567,873,282,400,
877,311,720,600,469,978,844,503,523,389,286,841,986,112,308,339,103,969,258,
285,461,619,194,923,103,098,537,071,078,956,114,491,330,391,310,335,490,984,
394,739,885,294,989,169,257,904,747,657,943,797,817,158,543,878,623,096,558,
055,992,668,024,256,234,489,316,262,794,519,633,801,451,857,098,574,216,901,
752,637,296,786,671,561,838,689,404,918,781,094,181,574,334,455,695,166,416,
759,000,856,819,824,826,031,694,730,092,841,630,516,422,874,292,060,855,156,
411,310,310,802,958,328,347,445,914,079,583,953,901,349,555,831,882,083,755,
395,811,587,390,332,580,914,568,990,895,492,732,330,423,479,426,153,635,928,
644,752,960,142,881,286,572,543,708,937,458,777,589,047,672,701,983,634,094,
685,686,588,537,320,206,829,876,563,860,147,658,560,172,741,870,624,444,907,
889,812,150,013,494,007,195,214,875,591,242,355,233,204,716,948,892,240,995,
739,773,488,427,309,467,266,827,871,807,520,863,570,101,244,369,786,783,668,
005,599,550,253,473,621,171,580,895,665,051,530,909,929,637,916,809,463,554,
291,676,019,326,973,178,939,501,114,030,056,255,483,825,867,647,269,644,321,
401,790,777,348,667,155,482,396,754,552,556,036,635,364,081,772,551,454,971,
379,820,552,674,516,119,957,141,807,943,517,299,360,480,876,264,293,836,591,
527,844,074,544,038,243,136,508,168,112,833,254,437,112,265,483,726,632,241,
402,476,900,665,177,586,630,774,122,222,012,232,453,066,985,626,578,792,263,
884,832,040,443,457,674,387,896,295,209,085,503,193,103,446,719,398,581,819,
732,755,517,427,387,835,475,966,907,115,215,912,581,324,193,201,340,510,258,
074,813,627,496,651,626,745,466,556,043,048,799,172,361,074,176,429,460,205,
069,540,532,167,387,323,816,959,346,720,095,717,392,082,494,199,886,622,636,
410,659,893,950,593,797,956,555,994,049,376,585,732,664,804,120,468,093,364,
974,305,876,802,040,279,102,802,481,593,153,961,430,501,569,436,327,201,075,
141,310,790,863,614,678,534,891,713,129,879,749,024,200,041,815,195,047,045,
892,275,015,020,275,736,841,832,624,908,635,057,127,500,611,991,940,486,315,
029,879,452,899,921,833,541,742,129,041,429,742,623,673,813,049,528,490,360,
831,654,263,209,477,026,655,623,715,962,566,313,192,703,338,200,856,214,232,
038,208,507,830,413,473,715,446,054,814,034,870,647,303,388,897,029,821,963,
803,799,696,990,183,391,096,615,299,603,320,934,886,127,795,519,803,606,032,
177,435,954,150,955,838,303,626,322,040,226,500,603,704,820,419,530,216,743,
355,155,683,322,827,801,706,035,864,801,960,979,496,228,229,081,298,179,741,
224,690,493,989,142,539,104,013,723,555,752,292,848,243,675,680,171,995,564,
079,088,254,448,086,021,715,539,066,564,573,598,628,592,133,957,785,980,112,
786,174,208,241,159,575,569,162,327,407,118,423,532,817,244,860,636,419,221,
440,446,211,646,862,908,528,200,747,295,167,950,668,261,542,431,550,188,569,
158,274,897,367,526,042,480,918,103,720,706,625,328,521,713,113,589,600,684,
963,033,231,466,047,533,806,983,952,071,943,946,723,877,410,393,477,724,411,
064,118,310,728,171,935,876,963,173,124,809,974,822,959,408,363,046,505,371,
706,611,025,046,559,078,118,538,590,416,274,902,310,153,998,898,980,970,706,
392,250,041,585,360,090,227,056,080,045,985,669,179,222,138,520,877,777,811,
798,806,727,148,505,805,956,292,316,695,456,716,036,282,530,735,923,541,151,
548,449,274,624,261,920,572,694,278,865,257,978,936,237,006,759,336,390,883,
058,351,254,501,602,528,007,823,419,928,207,495,225,733,908,445,545,426,060,
943,780,118,098,095,640,812,454,898,126,521,105,488,567,243,668,732,324,917,
964,796,528,587,614,153,689,049,667,608,634,633,288,056,287,261,122,611,432,
730,211,167,374,755,173,803,720,652,647,076,155,639,049,481,090,461,392,816,
678,964,154,513,226,863,995,155,463,823,772,371,983,187,097,015,520,325,638,
872,309,758,662,016,234,743,047,710,275,876,258,807,326,967,930,137,940,964,
498,005,615,689,937,891,456,957,314,638,711,021,386,222,562,616,386,078,509,
778,767,603,700,638,833,286,680,251,014,332,903,945,060,096,724,700,298,246,
838,657,248,002,322,011,608,149,238,723,775,629,126,957,953,246,102,901,734,
094,464,052,033,586,755,981,278,633,901,693,805,273,077,783,334,449,457,718,
376,544,439,319,450,049,826,610,962,585,609,347,350,420,791,343,791,303,585,
537,723,251,754,180,218,869,767,051,223,731,644,207,648,372,942,483,995,481,
503,876,752,043,944,007,691,708,575,961,308,405,186,011,918,070,657,051,844,
887,963,980,334,286,531,120,230,286,997,815,479,429,197,774,408,690,591,010,
989,604,591,193,941,298,683,525,639,604,682,585,367,760,400,845,086,344,783,
732,515,554,728,375,010,956,183,621,230,023,845,388,464,736,865,992,966,870,
836,578,421,570,692,813,603,303,890,477,383,476,139,502,097,414,581,930,917,
958,651,627,159,630,977,654,314,506,333,107,742,458,617,023,558,707,213,907,
745,877,022,799,720,796,196,049,074,978,070,497,775,163,525,620,059,630,143,
039,437,521,394,091,664,203,454,034,547,131,559,549,729,547,682,730,355,204,
354,933,762,956,306,712,108,922,575,192,463,623,351,957,128,323,157,881,270,
792,246,642,290,737,689,752,729,051,697,082,218,665,584,482,427,380,774,317,
151,307,148,531,081,259,613,304,955,093,077,325,699,840,398,303,769,009,720,
517,294,810,313,025,740,815,020,660,865,400,439,564,405,325,448,879,678,664,
530,785,061,533,856,034,440,841,160,440,138,708,828,640,949,273,452,245,823,
206,550,615,540,716,976,424,473,504,227,498,587,276,893,690,040,263,987,944,
894,954,543,927,873,176,270,967,791,758,221,757,987,911,186,043,067,443,151,
706,121,601,580,119,137,466,402,376,060,955,875,013,208,546,210,158,145,252,
008,262,524,669,750,517,112,991,063,120,565,125,070,623,278,476,194,026,948,
724,276,396,676,523,640,938,278,401,590,207,279,312,967,645,134,570,886,197,
338,998,665,061,692,967,792,368,765,141,560,490,662,584,153,356,923,469,236,
052,442,922,755,014,723,221,772,971,272,485,498,329,245,174,778,215,460,852,
050,978,524,611,073,118,083,989,367,865,351,913,043,297,977,336,924,631,478,
378,915,327,330,042,455,894,885,638,553,787,268,785,796,988,829,557,880,831,
500,201,303,521,723,448,159,986,349,259,104,659,677,356,038,596,332,203,753,
484,988,609,615,641,109,751,201,659,663,944,038,948,223,126,259,767,254,462,
169,563,342,152,860,081,404,155,201,930,325,995,876,119,141,619,164,451,675,
464,185,698,874,159,904,384,227,658,404,238,269,163,581,316,825,444,076,872,
949,123,918,949,505,660,856,049,097,326,549,253,083,392,851,665,236,344,187,
828,680,759,937,682,131,636,282,998,830,542,713,033,647,823,746,727,134,264,
694,569,839,902,773,785,094,090,048,170,755,232,351,943,956,975,060,624,227,
354,355,704,377,260,969,221,331,616,025,940,002,762,643,813,668,451,030,285,
497,365,324,616,100,906,102,023,621,663,970,014,333,838,462,244,331,658,668,
397,046,046,385,115,890,889,769,553,011,202,881,856,013,275,164,842,748,416,
302,427,137,519,097,387,185,215,953,955,323,031,382,459,812,555,632,893,295,
059,337,262,921,944,057,602,160,051,731,181,290,065,024,236,198,432,017,415,
514,905,089,987,985,275,396,775,994,158,062,561,369,899,759,965,309,005,956,
654,867,634,935,270,906,796,620,460,960,647,522,926,305,854,977,892,418,880,
225,700,262,191,201,294,882,403,899,662,706,513,837,725,746,052,820,846,435,
402,093,128,763,758,594,995,356,066,077,002,381,000,707,288,044,601,131,190,
859,723,691,239,841,414,599,872,514,807,409,409,575,471,006,586,646,257,241,
804,833,435,439,181,761,615,703,102,057,895,174,701,221,039,536,571,840,705,
390,829,515,289,838,752,770,603,404,078,830,412,931,399,090,604,416,336,256,
370,991,749,822,457,951,365,363,065,483,598,523,238,295,320,488,372,394,732,
529,057,101,137,748,688,418,294,596,008,783,538,638,960,069,643,437,179,946,
235,587,302,506,030,344,470,780,583,106,869,717,015,407,612,117,017,422,357,
708,594,419,173,015,857,577,874,402,953,341,541,518,224,715,007,342,995,176,
979,204,299,271,544,659,762,281,747,279,379,945,502,145,494,295,014,295,028,
251,872,416,876,346,832,002,043,853,289,591,998,518,988,220,547,329,548,571,
064,242,269,892,344,124,766,327,497,421,809,219,453,540,873,819,706,841,980,
014,105,925,922,932,554,620,374,485,801,120,005,696,990,514,825,907,368,252,
255,141,541,759,943,440,219,826,187,271,339,162,912,386,728,621,437,355,853,
812,644,955,096,679,675,555,451,968,834,240,644,557,459,873,667,675,657,078,
883,839,375,565,690,827,156,748,389,492,476,369,005,482,697,326,444,319,934,
822,035,859,012,202,031,829,367,904,326,913,072,722,173,071,406,205,445,629,
749,839,054,442,842,030,257,203,925,165,468,589,919,607,453,844,380,230,411,
424,828,357,695,956,644,242,643,932,366,107,007,859,125,956,565,802,162,859,
321,284,796,042,561,741,556,852,960,085,147,347,488,142,187,905,210,506,840,
042,785,308,181,240,402,238,686,162,013,645,404,332,100,749,852,800,673,912,
732,385,308,375,689,702,443,078,145,073,800,395,926,614,624,818,558,253,714,
601,768,353,154,956,901,276,744,004,473,555,339,853,526,337,578,765,075,895,
737,392,910,249,500,705,807,029,351,403,035,953,043,741,395,395,764,610,473,
799,547,569,164,402,878,030,810,467,193,609,346,874,046,579,962,757,985,388,
539,918,671,242,081,619,150,501,259,424,943,560,650,463,333,089,753,135,082,
699,403,950,416,415,424,980,701,026,149,771,507,452,906,048,396,242,431,390,
057,826,250,109,286,863,974,129,966,354,061,733,908,363,939,535,131,845,140,
982,690,892,832,012,051,684,516,616,784,919,325,653,405,485,609,850,235,917,
942,531,156,862,235,747,518,710,118,852,359,932,263,763,151,703,507,342,055,
774,463,865,388,575,852,197,403,853,083,480,480,355,754,812,602,176,512,424,
902,071,184,026,114,405,060,059,663,088,083,459,128,929,381,888,096,867,319,
367,214,686,064,226,065,582,622,126,205,876,968,882,661,871,772,778,360,608,
489,313,607,228,590,143,390,402,814,617,225,517,092,726,786,013,247,014,673,
042,700,646,095,381,093,778,680,659,401,215,573,353,864,655,193,439,625,347,
860,276,485,734,658,573,619,836,797,053,204,943,671,467,332,658,117,366,961,
561,285,951,743,319,429,806,991,809,414,400,341,665,863,582,028,771,720,907,
048,320,692,308,249,013,461,136,218,195,261,935,783,475,249,370,151,787,475,
939,563,644,953,857,012,553,089,187,006,691,294,569,415,703,708,199,663,042,
502,205,133,964,612,594,750,354,195,521,954,382,504,983,307,524,169,418,458,
675,777,803,007,512,588,724,433,705,231,922,356,186,629,646,745,849,200,842,
537,869,684,625,228,906,315,456,071,920,836,164,693,646,916,698,196,920,749,
077,368,536,443,272,632,984,087,409,671,690,425,942,359,964,647,016,729,908,
159,625,914,105,707,410,842,320,911,663,439,662,223,173,320,888,741,227,085,
272,402,433,389,686,671,010,111,107,446,646,958,463,830,155,029,020,234,701,
314,897,233,535,580,528,762,496,081,164,816,197,733,704,327,910,787,080,645,
257,534,230,839,319,879,686,163,844,456,480,862,787,659,532,603,479,517,403,
489,801,184,941,656,051,300,504,657,733,300,227,911,669,566,063,982,859,343,
033,059,046,624,607,414,385,534,897,444,961,004,157,253,310,835,411,635,910,
745,751,539,475,443,988,762,541,535,838,810,379,941,497,716,524,830,673,039,
737,749,743,868,539,556,882,091,403,961,108,363,734,847,376,399,609,942,488,
997,525,831,388,580,208,383,973,083,334,766,946,382,079,067,479,052,763,652,
067,569,036,692,940,790,535,354,472,557,199,402,673,229,849,854,935,728,503,
206,517,344,211,968,996,362,708,121,449,022,072,803,888,145,594,565,444,934,
834,013,908,692,466,744,624,957,238,471,591,836,715,013,046,915,342,811,337,
053,202,600,927,426,344,571,375,374,357,642,613,512,291,781,717,311,294,253,
670,161,097,302,544,114,754,619,288,320,516,812,129,389,795,867,755,735,583,
658,942,226,669,991,223,054,657,667,070,172,304,271,208,673,026,178,479,432,
590,467,999,839,450,869,497,660,325,713,852,146,934,432,446,748,068,672,165,
164,868,864,713,477,889,278,650,054,088,150,657,786,449,903,100,153,698,378,
501,525,264,772,589,382,115,784,664,250,654,393,429,274,038,443,222,757,756,
027,386,296,611,381,555,918,633,693,197,527,658,698,281,634,395,575,269,596,
568,486,724,369,983,559,815,044,191,618,457,739,480,632,793,933,475,857,078,
704,780,921,846,225,553,487,192,109,007,203,263,308,487,486,338,572,245,497,
615,319,323,804,511,884,332,007,829,616,993,492,850,420,164,815,821,439,886,
921,531,140,980,258,149,752,370,959,909,186,669,829,286,985,948,910,757,889,
845,856,859,162,726,022,665,392,489,870,481,586,753,018,449,206,575,974,871,
891,601,389,541,798,286,628,669,791,842,698,035,008,187,193,279,736,405,761,
865,868,424,423,706,223,724,379,269,945,925,184,090,229,337,065,346,164,868,
039,848,087,814,856,794,281,409,048,757,468,559,920,894,522,414,038,357,611,
127,264,441,096,852,208,915,468,138,194,706,036,728,546,016,971,632,222,007,
292,623,083,045,879,918,620,621,953,618,056,249,396,812,275,862,965,161,023,
756,598,811,568,307,883,218,608,052,810,556,880,437,858,726,743,657,375,376,
800,949,543,013,246,103,310,719,613,075,584,636,142,252,566,543,023,291,352,
371,667,384,369,598,105,757,128,211,938,145,626,798,455,264,111,058,679,787,
139,808,308,621,893,936,393,878,413,330,625,732,186,084,091,850,766,229,345,
331,834,673,675,346,773,052,407,574,593,336,275,155,517,499,035,803,422,878,
001,655,005,248,912,483,517,564,489,857,651,942,908,747,233,765,275,249,299,
499,134,419,726,107,440,875,637,425,655,896,462,116,371,891,575,721,208,272,
511,705,267,511,997,910,145,834,557,917,653,160,501,675,376,673,954,258,763,
776,702,754,189,215,525,424,961,444,394,663,749,161,397,532,804,131,807,790,
256,511,870,004,379,791,790,100,263,742,670,870,304,805,287,814,389,864,960,
408,877,011,454,297,120,510,811,467,074,928,509,445,962,277,480,926,905,032,
003,310,637,875,410,017,755,637,958,285,094,244,559,257,144,322,093,101,509,
291,812,045,056,019,309,112,754,068,578,980,729,543,296,943,361,859,972,596,
852,507,462,368,382,480,594,336,514,881,711,333,977,859,924,012,484,099,925,
597,092,464,411,534,403,362,352,905,809,001,006,081,457,172,806,883,954,532,
574,877,199,293,070,465,339,557,575,318,482,807,837,083,559,144,746,186,198,
440,450,901,782,731,446,430,364,577,191,563,522,237,780,356,374,883,071,293,
871,902,078,653,833,127,675,660,942,400,788,144,828,213,808,103,547,322,988,
315,634,585,546,424,671,569,410,799,378,205,136,660,307,938,874,213,510,724,
686,642,403,291,923,254,468,772,043,640,371,777,447,422,914,606,585,531,353,
335,124,339,828,682,133,723,973,692,051,529,948,376,178,312,486,167,588,256,
752,962,838,184,138,914,027,979,253,720,070,681,869,211,320,371,377,390,979,
226,089,196,877,707,658,586,823,183,044,892,271,711,269,995,181,716,436,085,
300,664,223,166,729,502,713,578,435,315,917,332,137,837,255,460,079,304,413,
679,469,940,245,470,268,758,820,695,711,661,374,407,933,272,005,244,052,570,
881,415,564,495,189,317,375,450,283,346,915,966,505,105,861,954,801,822,134,
368,498,169,305,942,668,586,199,861,230,268,040,625,703,940,513,664,876,263,
304,621,092,269,070,369,389,655,430,357,797,574,717,866,348,333,986,013,463,
425,294,315,347,818,230,320,586,571,096,164,389,301,774,658,291,606,780,707,
940,056,956,633,999,568,147,281,636,564,843,857,450,692,960,343,157,218,060,
288,916,749,740,911,716,477,253,250,206,027,473,083,471,063,420,165,670,115,
398,194,351,375,221,241,741,953,702,662,494,235,780,823,055,369,137,987,188,
269,588,255,680,661,524,765,057,823,972,031,488,632,808,336,408,938,556,105,
738,045,109,853,247,722,970,925,597,396,321,689,659,393,923,944,774,523,388,
500,478,120,812,696,910,061,586,991,034,639,509,632,490,686,760,203,301,930,
574,260,451,908,156,054,579,631,767,293,991,818,213,375,808,893,557,789,484,
000,548,353,898,442,615,137,443,062,138,150,103,118,329,066,203,569,920,121,
727,401,077,971,951,034,634,902,738,557,147,445,931,218,761,901,830,072,706,
676,748,339,489,375,511,341,852,184,029,172,835,708,916,878,237,321,564,504,
679,151,280,216,740,879,835,686,149,919,769,060,500,887,955,498,476,969,576,
038,359,132,789,436,698,160,151,334,535,337,558,425,744,556,992,994,109,881,
135,281,024,782,977,127,129,333,059,741,462,202,841,434,128,567,506,728,664,
611,539,421,533,588,963,269,159,306,660,388,411,283,625,288,305,136,433,672,
489,188,321,891,317,303,021,025,265,044,313,886,852,664,188,226,419,718,666,
346,766,471,162,714,652,920,327,104,346,867,611,376,341,313,960,769,094,144,
740,136,694,699,281,770,237,808,386,786,451,527,215,590,377,435,927,998,315,
326,052,525,530,045,345,567,167,207,095,805,402,886,168,683,889,903,466,458,
561,556,063,366,991,789,033,391,846,165,635,899,696,135,692,422,320,416,697,
671,869,506,957,852,224,042,803,995,337,919,397,657,230,470,537,111,247,948,
419,372,899,973,295,822,608,225,535,804,134,349,225,413,111,311,322,336,472,
171,889,422,890,596,974,762,078,514,112,754,045,518,222,759,507,076,274,751,
096,325,026,810,322,648,500,395,601,579,460,457,822,542,140,799,764,277,662,
705,491,538,407,486,103,090,066,085,320,212,969,703,568,675,740,008,858,576,
369,295,153,906,950,809,828,725,669,417,915,568,888,224,668,626,950,060,688,
911,689,987,762,484,264,198,244,996,647,250,316,574,729,655,834,194,319,234,
947,832,990,809,886,735,589,566,993,820,956,218,268,409,246,194,307,816,730,
354,315,429,348,218,130,297,150,310,865,449,150,972,640,218,621,838,275,193,
940,056,943,932,857,355,607,083,790,204,675,226,888,620,525,516,443,914,219,
566,437,760,084,478,615,009,137,667,044,672,568,163,060,492,248,293,854,830,
083,908,706,218,948,872,717,121,237,187,287,850,211,734,288,998,644,310,893,
982,779,610,919,550,716,274,781,297,034,516,973,354,628,791,030,943,359,368,
047,908,666,748,373,515,832,528,430,677,202,194,206,742,199,301,344,701,967,
785,906,996,525,109,846,520,766,805,669,916,254,704,564,997,897,535,730,310,
586,391,252,142,020,970,253,440,333,035,273,483,947,924,622,092,569,755,693,
377,056,947,766,957,997,962,924,089,082,078,114,347,299,022,191,757,300,331,
261,036,448,681,577,749,639,805,640,555,135,265,009,156,196,782,058,251,450,
512,904,657,666,630,846,336,500,386,500,401,812,629,470,359,229,889,777,571,
297,258,657,232,262,324,500,732,746,086,564,532,518,376,646,241,761,937,193,
445,587,348,510,015,487,271,838,742,145,555,925,617,078,140,079,014,834,001,
176,272,521,776,412,234,736,164,127,006,906,934,826,185,835,888,325,252,250,
481,519,796,069,260,423,190,850,252,464,074,188,030,215,187,001,575,507,917,
871,211,017,632,223,064,544,270,043,356,119,462,107,307,426,046,387,024,200,
336,098,780,283,355,575,200,619,275,098,499,870,533,851,768,761,506,837,210,
194,150,160,786,438,836,563,031,511,797,204,045,891,807,380,976,998,817,113,
013,953,361,143,399,549,440,419,779,030,440,210,338,426,707,686,786,712,890,
780,905,294,061,077,642,764,822,779,471,912,236,905,577,599,792,645,093,853,
008,035,298,783,910,436,997,465,604,258,930,526,839,791,548,919,393,997,602,
999,910,031,640,496,072,193,904,608,531,748,762,417,210,638,598,228,810,674,
070,511,097,249,289,604,198,579,681,612,938,579,643,948,144,369,479,976,807,
825,070,097,785,338,185,831,704,902,732,731,483,260,132,562,183,160,474,692,
641,118,373,892,271,303,255,373,993,059,282,168,548,535,153,626,395,852,285,
196,710,608,578,172,558,573,811,413,660,958,703,716,578,691,125,568,442,030,
948,528,413,064,814,173,029,168,864,471,561,653,584,277,846,570,394,896,934,
851,522,321,143,554,222,913,077,599,891,229,099,971,893,435,243,903,380,599,
732,472,236,913,756,620,849,186,591,628,042,334,551,286,681,660,849,613,001,
715,897,965,442,744,073,102,317,663,128,092,861,915,777,011,691,858,348,112,
883,061,820,887,090,129,672,593,900,198,292,209,113,008,981,827,522,876,376,
912,838,399,380,493,515,117,952,584,739,466,687,821,909,289,635,673,396,379,
115,772,773,556,219,635,491,625,456,455,288,306,308,019,136,547,524,437,361,
358,980,290,069,580,472,084,483,634,296,474,990,156,780,089,744,851,840,701,
508,278,234,509,224,196,005,829,611,408,953,663,394,409,221,515,977,457,683,
617,610,644,163,231,180,699,683,360,831,975,154,112,718,512,435,721,430,036,
952,979,236,945,511,252,262,406,513,759,367,661,752,339,767,010,452,114,720,
265,287,224,890,619,540,764,087,446,541,998,422,222,378,317,718,078,038,299,
740,723,803,690,652,774,881,380,396,795,288,296,220,752,117,317,755,386,306,
909,492,221,091,546,616,139,115,415,658,971,481,010,450,952,843,887,361,392,
042,637,228,104,846,109,166,374,395,795,488,721,531,224,701,879,707,426,860,
803,703,030,373,827,755,796,837,553,862,261,276,332,774,228,034,126,934,127,
297,166,252,567,252,257,450,984,319,733,651,229,744,239,597,742,415,541,162,
323,516,320,360,200,993,670,056,415,962,096,705,926,099,726,803,564,223,885,
325,986,110,912,033,257,105,648,029,400,821,519,012,229,748,479,517,474,793,
053,534,112,341,864,905,346,433,718,387,854,043,276,696,293,370,311,351,969,
785,843,237,821,684,814,292,753,766,741,956,188,169,720,993,916,384,428,759,
183,534,859,020,756,652,451,621,023,593,729,604,537,437,316,799,971,511,470,
892,844,472,923,657,822,401,031,400,202,243,447,505,282,513,612,242,792,100,
135,593,635,017,739,008,634,400,626,537,401,371,767,104,579,365,332,407,160,
267,186,790,475,252,000,770,036,152,539,701,936,158,132,050,095,421,302,479,
606,500,503,293,996,014,097,616,461,817,303,799,811,797,533,429,414,496,965,
066,449,294,924,450,328,668,818,919,889,534,071,294,843,538,829,821,114,827,
877,691,339,014,270,150,308,379,088,085,016,364,542,275,985,049,477,326,037,
838,471,377,908,819,335,032,806,239,664,358,172,590,777,233,848,299,387,544,
086,519,734,432,679,862,547,675,660,774,041,896,283,897,156,601,396,191,319,
197,589,568,347,237,436,673,592,331,362,150,210,145,235,135,487,364,747,757,
606,591,975,930,210,736,070,675,624,059,963,885,961,939,538,074,508,422,923,
845,621,893,106,120,728,973,469,030,912,033,100,776,841,294,758,442,672,467,
087,757,782,705,349,724,908,263,378,517,575,565,582,749,385,428,191,485,567,
284,721,275,865,674,848,040,147,497,192,515,385,399,658,500,497,243,421,022,
724,929,685,999,613,911,462,089,209,851,239,623,115,117,663,948,883,124,806,
553,855,277,018,645,729,422,918,299,690,796,849,790,578,903,502,897,855,945,
922,211,766,087,381,389,994,689,536,257,540,641,557,603,020,210,989,907,146,
030,760,569,500,759,605,558,260,638,697,168,443,063,848,305,536,728,756,984,
959,830,476,725,770,726,795,418,629,576,949,760,540,552,671,652,456,927,376,
455,149,106,488,924,746,236,386,142,636,150,312,264,614,098,389,059,663,258,
117,781,960,963,275,161,058,824,699,170,544,065,279,232,786,172,907,822,050,
248,536,135,279,019,398,616,172,815,439,553,035,157,070,600,365,350,967,970,
492,716,478,127,490,093,462,410,060,655,733,427,331,107,845,419,603,122,865,
425,527,507,835,571,840,307,871,072,054,528,100,892,354,170,814,496,712,583,
854,870,892,035,102,946,504,659,226,568,473,403,573,148,632,201,965,750,355,
464,269,167,403,000,073,917,400,743,368,661,160,955,397,387,440,617,019,267,
192,083,169,493,754,000,379,549,819,673,829,221,142,969,114,240,105,542,534,
911,533,021,020,156,617,110,059,890,332,802,353,929,538,852,445,401,797,806,
652,123,468,375,586,507,814,600,194,113,985,442,227,838,669,989,067,734,690,
485,132,495,101,075,034,714,843,546,949,486,750,659,918,501,833,252,720,912,
233,812,000,237,180,176,874,144,114,480,077,169,333,820,986,397,432,616,984,
939,834,536,935,796,691,017,893,235,818,005,796,398,365,250,934,360,566,542,
145,758,624,837,495,195,491,259,088,090,128,401,779,778,196,583,880,126,204,
926,630,274,678,344,836,652,253,973,280,455,712,727,234,400,031,998,033,986,
019,620,010,318,332,845,410,359,938,115,069,631,598,252,943,728,717,488,120,
305,215,901,984,996,378,577,286,626,357,301,931,780,873,501,227,088,947,107,
986,176,530,959,301,710,150,216,968,598,022,779,731,685,425,032,061,081,066,
282,629,403,413,683,520,638,658,107,854,971,374,128,325,968,497,399,792,030,
746,460,206,198,232,454,753,239,827,742,854,348,797,243,085,417,429,307,156,
956,428,749,226,015,789,467,918,730,012,384,618,922,316,965,255,484,653,173,
045,638,325,965,167,692,262,104,900,122,810,648,751,631,993,462,298,848,053,
368,180,513,711,369,451,780,348,968,027,928,820,051,164,436,908,676,896,015,
005,704,044,168,725,057,515,030,235,697,132,132,332,438,461,141,614,354,037,
459,117,199,660,505,170,089,134,917,835,040,825,541,457,737,865,343,969,270,
793,508,080,396,351,759,177,603,856,143,346,291,318,519,106,521,846,870,604,
904,928,086,307,976,924,583,585,607,265,983,817,867,951,020,647,926,289,816,
923,372,225,692,913,518,193,716,220,265,413,466,619,664,711,200,135,482,043,
386,881,102,828,838,224,827,952,838,904,010,868,011,118,191,967,679,820,539,
580,440,954,403,866,854,206,001,911,441,822,968,276,470,181,037,762,944,714,
955,339,309,204,290,115,433,843,255,091,669,455,909,717,871,646,130,010,737,
981,490,324,300,003,254,624,395,607,585,065,634,474,938,249,710,350,580,856,
200,817,324,940,378,761,881,959,758,397,808,205,723,312,256,242,089,426,414,
094,928,760,875,705,780,103,136,524,402,485,666,626,821,677,729,933,307,404,
101,823,888,060,825,894,208,009,796,875,178,186,769,758,121,747,855,751,467,
664,564,457,091,479,641,789,831,710,772,719,520,440,041,572,258,778,115,188,
707,896,723,137,531,255,716,857,340,702,725,848,918,964,645,573,443,587,601,
225,769,003,946,992,285,425,706,286,246,150,621,182,623,515,316,041,501,347,
638,258,415,360,097,272,722,857,047,157,966,352,562,482,681,315,518,031,235,
578,419,124,257,445,653,947,825,312,604,800,789,301,942,114,952,238,276,579,
565,691,184,808,237,277,046,445,755,706,322,580,450,340,873,232,801,589,428,
986,353,495,052,048,530,230,154,401,971,312,736,012,593,787,998,462,770,884,
333,049,340,875,041,418,211,795,744,108,278,913,349,300,638,798,479,536,361,
900,082,358,866,713,784,898,608,660,591,743,659,307,061,569,951,528,477,490,
340,327,986,151,643,530,447,002,748,459,608,819,888,170,187,449,864,045,419,
145,854,889,266,250,765,410,615,003,276,011,553,504,842,622,863,538,194,449,
404,150,485,552,731,445,160,791,954,381,062,767,203,489,985,189,955,710,285,
720,077,347,892,535,594,486,383,758,315,052,668,099,727,802,864,346,222,404,
572,381,774,190,909,770,527,548,243,729,568,975,040,985,784,685,954,493,794,
199,822,568,498,919,926,806,015,675,576,638,498,128,854,302,980,749,314,275,
318,967,826,790,192,379,675,134,480,911,050,190,562,050,205,155,685,663,613,
437,529,667,767,975,681,962,781,501,364,203,856,239,645,105,561,664,584,950,
382,879,454,761,067,298,455,351,936,861,947,893,437,759,016,278,703,171,379,
281,261,052,255,030,343,253,761,733,609,247,246,577,725,295,306,850,111,677,
955,487,803,131,324,032,553,793,936,876,243,220,327,955,715,257,795,650,337,
299,695,187,841,708,313,911,892,599,581,432,879,485,613,560,006,484,979,301,
060,685,632,885,284,802,518,047,600,731,848,450,320,883,939,828,043,017,889,
354,610,187,132,030,320,775,472,557,887,552,495,295,498,593,665,878,652,667,
998,495,301,977,683,060,273,049,057,374,760,625,020,332,908,840,760,188,113,
237,260,224,401,446,205,290,731,659,530,652,661,801,143,357,316,972,288,435,
287,399,309,694,404,398,025,260,590,221,346,803,183,027,147,865,418,591,421,
627,626,916,848,243,139,030,679,096,182,077,211,343,180,851,954,603,355,383,
063,292,918,514,302,939,475,740,956,484,807,715,206,296,451,801,735,153,248,
018,200,973,896,070,569,231,552,532,639,653,015,149,678,234,353,428,090,412,
379,439,262,637,316,125,237,055,000,085,866,877,102,304,864,489,902,641,921,
356,105,719,326,991,941,629,408,848,058,201,414,464,702,734,673,777,966,084,
175,850,909,835,744,242,294,741,350,911,551,905,475,947,994,302,481,621,082,
325,746,843,881,121,869,974,889,820,681,745,468,668,423,170,232,144,193,836,
867,419,148,338,862,879,002,702,185,120,636,001,826,618,977,626,987,764,947,
568,211,313,369,344,777,224,991,396,631,613,590,421,466,344,752,641,706,788,
406,349,000,319,893,844,298,262,147,030,876,667,889,415,035,159,871,754,759,
882,337,684,580,994,027,309,569,154,188,299,944,332,618,353,365,085,684,910,
973,432,499,568,771,847,179,305,158,320,728,893,939,848,161,857,449,808,229,
874,204,326,701,767,506,222,497,557,611,851,670,371,888,740,262,025,426,413,
959,379,719,312,378,630,648,849,392,296,803,110,225,112,720,857,012,825,605,
035,259,620,088,493,798,439,916,338,664,657,290,248,890,922,582,510,570,473,
815,211,159,990,525,935,444,705,143,905,058,401,891,899,284,709,574,598,270,
718,279,441,088,505,225,536,898,750,446,530,867,643,468,544,281,124,686,326,
605,899,859,239,315,507,087,250,969,123,751,262,576,682,251,646,752,788,292,
891,842,836,935,885,299,674,443,018,312,720,933,266,089,313,026,714,998,178,
258,169,000,812,845,367,011,971,374,043,619,753,334,684,889,171,564,205,893,
566,653,009,638,775,263,408,527,347,405,882,672,275,542,821,100,929,443,618,
175,962,959,807,224,943,494,961,895,577,440,302,848,508,075,328,621,556,553,
932,243,103,512,799,796,536,356,359,969,427,646,967,489,013,896,961,818,654,
873,277,646,164,017,970,595,933,189,757,134,269,064,563,139,338,028,743,248,
506,818,601,550,773,416,225,965,469,261,301,034,122,823,922,238,257,591,282,
541,989,035,318,455,474,067,011,345,842,123,434,077,922,330,878,040,842,052,
966,460,826,524,622,590,876,635,077,678,482,552,359,514,073,488,913,842,256,
656,371,115,359,146,903,788,684,996,081,573,057,287,701,555,365,907,098,557,
317,270,903,779,942,047,199,823,632,269,685,364,591,488,863,456,858,438,198,
843,111,434,215,419,977,364,603,065,511,157,103,537,353,145,203,766,365,706,
342,545,217,932,051,980,238,049,546,132,758,084,148,857,305,013,168,816,256,
997,717,639,260,729,230,185,150,239,072,011,114,978,987,292,004,570,456,617,
180,903,265,328,370,981,150,603,103,057,300,094,226,515,151,544,735,122,673,
209,659,184,942,702,660,223,623,393,727,496,509,034,714,019,603,984,068,539,
668,644,178,628,585,864,441,878,724,651,802,461,411,466,248,118,160,847,831,
413,347,471,951,215,383,409,596,109,715,857,883,601,717,834,754,837,927,260,
387,936,789,162,043,061,321,746,660,638,191,880,494,690,107,782,691,111,634,
864,270,704,718,509,436,278,348,336,555,867,106,228,711,877,176,215,986,829,
195,827,117,152,514,286,552,175,763,154,512,576,361,578,323,003,486,752,860,
896,939,212,560,099,467,750,833,018,900,292,952,167,434,222,624,002,426,780,
532,119,111,604,057,819,295,403,936,746,681,520,880,526,986,390,093,979,655,
035,652,942,564,573,117,782,352,287,117,273,527,662,304,421,219,629,615,893,
982,754,937,929,939,761,302,008,493,056,086,361,760,639,991,852,192,196,107,
271,649,863,803,229,487,581,008,097,369,329,951,517,605,750,794,840,224,949,
227,248,880,583,004,291,646,675,227,316,976,927,175,873,614,977,151,042,035,
425,526,835,392,894,150,511,309,365,772,616,482,451,266,257,120,957,021,924,
512,376,611,723,510,569,047,307,680,772,737,912,770,872,961,698,141,193,856,
665,306,470,198,130,108,765,680,277,746,711,077,874,877,203,922,398,813,273,
701,686,648,636,066,075,520,491,571,289,484,934,459,267,773,106,768,026,353,
489,953,573,618,857,576,763,973,870,996,861,875,189,089,163,009,979,154,856,
367,791,365,281,198,381,130,728,095,376,399,293,734,999,356,815,628,980,209,
997,201,560,357,721,951,396,103,012,765,352,170,062,367,525,785,958,692,037,
701,238,937,176,023,261,677,729,362,053,543,140,719,939,666,821,713,349,371,
351,448,431,951,099,522,958,268,292,604,699,027,046,695,429,469,628,092,903,
511,462,146,261,742,178,688,493,183,113,530,742,921,405,047,488,165,743,296,
105,557,647,855,451,043,323,242,866,267,784,267,852,601,897,041,286,111,478,
627,488,178,601,378,921,756,908,661,065,729,435,622,708,502,472,574,811,944,
123,438,062,356,686,584,859,134,261,174,610,931,414,129,946,792,831,597,528,
261,658,458,705,419,305,435,404,405,370,190,419,610,282,696,834,377,156,694,
073,501,338,616,863,396,339,472,781,565,411,644,834,411,090,486,634,454,552,
353,056,668,635,512,191,093,317,245,766,704,615,633,435,930,643,124,476,750,
921,851,493,133,521,741,756,555,595,143,929,645,750,347,995,954,096,274,430,
512,134,882,286,358,147,189,515,257,836,406,375,846,245,325,919,825,302,339,
509,733,634,577,585,752,796,164,154,659,657,210,303,572,159,166,122,810,757,
219,927,666,403,275,103,705,950,254,908,347,827,664,682,716,831,294,771,054,
877,952,388,166,512,041,472,211,114,192,536,652,271,300,617,509,822,124,533,
813,868,615,652,822,814,242,881,385,757,905,343,796,678,589,165,153,106,148,
195,838,903,051,557,854,126,916,330,789,756,008,621,179,533,477,226,584,933,
419,463,646,990,527,310,833,675,735,034,103,410,126,770,405,016,738,655,284,
071,966,749,599,711,282,426,085,810,422,644,940,908,889,054,553,301,505,292,
396,009,300,688,027,188,138,105,937,658,691,826,217,308,169,455,524,918,849,
199,740,814,841,397,263,596,741,688,567,219,129,387,602,130,758,161,100,343,
532,302,290,836,656,343,344,784,003,313,452,993,515,149,023,263,992,682,961,
906,615,115,912,071,433,296,563,762,214,263,674,941,404,117,336,356,142,343,
955,702,989,213,334,253,671,518,079,408,336,933,557,805,939,982,371,033,037,
230,748,071,057,389,453,168,730,670,001,758,521,646,444,192,512,620,442,210,
366,075,002,767,679,826,105,538,611,945,019,503,683,370,910,450,651,776,914,
363,778,725,365,594,974,693,835,814,256,382,513,987,893,173,320,859,501,395,
717,546,842,434,390,065,928,695,504,305,499,656,882,083,591,326,667,507,846,
656,923,607,958,478,762,743,544,654,236,781,708,739,195,130,415,578,936,794,
234,532,873,724,389,353,034,072,872,422,023,619,658,180,864,355,925,998,484,
363,974,330,676,888,534,892,135,776,377,687,534,646,186,367,457,113,797,477,
855,148,690,834,671,528,050,269,489,150,722,056,492,325,458,331,806,540,237,
655,790,844,383,070,064,949,218,929,834,248,504,253,452,364,853,541,561,880,
911,929,421,426,334,109,275,301,425,498,961,549,890,424,473,052,507,112,358,
172,333,796,607,851,537,411,945,934,467,093,841,762,578,381,330,924,994,791,
824,006,089,822,172,089,844,753,306,474,855,305,707,135,060,069,715,621,435,
758,769,375,903,557,015,801,067,052,662,186,184,269,105,907,647,626,613,157,
685,001,042,060,796,137,138,087,013,437,176,681,405,863,466,809,849,821,949,
392,031,807,015,699,043,675,906,004,527,195,303,198,494,467,869,847,198,269,
117,639,228,771,899,247,248,355,165,851,751,585,138,932,764,000,210,505,285,
545,057,464,848,220,426,075,186,376,565,738,732,259,935,100,733,307,911,494,
892,013,786,308,252,840,645,790,175,955,529,075,586,916,175,117,415,584,963,
408,079,129,620,089,111,308,491,681,628,964,705,894,989,795,935,669,520,371,
802,696,959,919,481,452,822,993,453,842,756,497,526,324,327,153,833,622,979,
818,222,320,872,584,599,732,022,709,797,108,371,930,510,374,130,084,317,767,
044,910,164,391,486,445,941,841,477,525,132,518,322,899,835,128,887,342,302,
985,648,261,082,306,844,167,666,210,393,588,457,252,392,130,956,366,463,220,
027,797,052,151,372,200,337,475,015,713,161,325,131,232,006,500,830,829,842,
999,162,214,793,150,670,234,912,933,033,512,222,909,017,069,428,476,133,984,
343,211,754,163,163,382,040,485,042,612,075,741,162,997,058,196,291,332,345,
636,018,061,055,235,307,398,399,554,385,405,395,655,300,666,769,688,954,638,
138,602,803,046,345,357,749,659,287,435,177,027,992,968,845,301,231,380,871,
415,422,103,074,064,094,965,876,418,790,567,125,117,551,922,764,846,295,149,
260,841,485,330,795,935,713,628,914,867,049,889,222,026,463,033,349,623,505,
705,322,702,454,725,850,588,785,238,743,249,219,173,238,660,986,972,428,291,
686,421,082,687,159,092,560,442,285,553,994,617,630,564,919,411,628,933,663,
937,689,116,549,873,863,953,493,364,503,390,596,765,509,704,464,010,862,126,
572,756,258,706,204,139,503,636,768,771,259,034,257,984,845,634,911,463,742,
043,424,397,526,334,243,360,977,427,543,076,152,121,256,396,009,824,133,028,
256,916,797,141,451,607,327,792,282,427,950,660,233,407,978,629,921,434,738,
226,195,675,500,729,296,980,077,701,662,048,687,653,735,699,952,622,705,903,
383,017,826,762,065,996,798,953,652,863,504,477,416,394,732,012,568,918,124,
004,549,790,657,632,649,894,471,664,275,942,470,970,689,980,578,584,313,140,
166,012,023,695,249,566,307,278,237,359,767,489,195,988,381,606,984,706,684,
811,852,858,537,798,645,014,349,941,841,557,803,296,996,546,730,735,445,738,
340,745,345,690,296,749,489,117,189,709,245,926,408,052,743,522,553,680,954,
218,951,680,480,635,688,619,769,879,246,702,473,425,953,626,291,299,894,794,
050,764,855,312,161,567,904,490,447,725,410,114,291,376,457,180,947,379,617,
402,373,307,009,268,080,984,071,030,406,263,327,979,762,977,372,143,348,767,
107,817,895,727,340,654,108,001,063,421,087,395,968,749,851,958,224,917,026,
541,679,496,852,832,957,652,430,512,878,026,000,228,723,868,494,931,617,995,
337,704,259,495,383,399,380,800,060,926,276,017,141,537,117,187,652,329,343,
423,398,237,048,854,919,571,877,992,099,343,944,340,695,898,723,548,094,793,
141,947,543,774,328,620,692,833,421,055,963,474,857,841,192,240,088,036,408,
112,928,863,676,187,249,323,416,398,289,584,518,918,384,852,412,878,833,160,
727,379,570,464,790,607,854,321,958,052,003,819,806,355,133,789,592,093,957,
502,058,715,894,423,422,913,080,454,977,888,706,344,185,979,284,833,236,170,
561,199,078,683,416,329,652,012,118,724,727,950,878,301,095,038,048,626,989,
229,580,506,799,811,099,084,314,935,134,293,576,784,424,876,963,182,528,512,
262,101,387,350,125,622,592,081,149,582,983,302,049,480,389,021,584,184,852,
488,268,279,088,231,181,390,907,353,659,587,556,510,592,751,657,542,818,595,
637,231,193,418,056,773,572,445,621,471,039,424,070,537,361,834,800,870,526,
505,352,898,722,299,960,813,485,102,653,930,724,447,872,459,517,588,736,504,
390,649,078,056,138,144,107,850,131,532,733,097,227,939,685,141,886,649,290,
850,480,782,622,207,953,698,704,627,202,622,506,464,171,983,606,503,166,357,
525,647,675,180,962,033,313,948,204,431,768,770,901,521,755,946,315,515,038,
794,051,466,951,658,534,358,241,379,383,487,857,897,870,216,052,244,130,252,
440,463,380,515,945,070,566,750,367,854,097,847,937,825,335,475,072,675,216,
601,059,555,488,575,555,775,689,709,191,134,739,021,033,989,446,787,277,189,
859,341,991,719,356,331,250,952,662,915,388,644,297,568,078,428,105,690,792,
963,534,377,326,486,102,847,043,050,991,714,526,604,383,916,440,865,894,387,
645,434,111,681,161,464,395,683,018,311,832,111,733,039,054,687,016,930,965,
545,365,274,473,778,378,998,378,273,517,877,158,909,855,946,846,026,375,208,
084,977,950,499,329,477,462,996,996,004,939,182,721,527,539,128,786,988,728,
703,233,289,189,421,843,009,017,059,231,225,373,938,922,375,457,702,385,812,
026,254,360,430,642,174,835,699,365,506,995,297,666,504,384,978,465,212,724,
253,334,340,768,947,088,229,528,274,212,288,740,285,061,529,644,070,616,822,
229,629,047,204,676,816,778,414,118,342,538,632,971,761,852,157,449,490,408,
739,964,252,203,680,553,533,534,192,656,406,788,892,681,539,265,834,915,577,
252,884,470,591,656,899,611,272,898,544,922,450,641,672,591,155,315,045,154,
177,964,018,834,348,961,531,441,572,324,763,518,563,628,010,522,274,403,139,
149,318,515,467,064,353,204,517,223,004,497,580,437,149,075,835,870,520,427,
810,918,947,938,469,140,545,567,161,351,079,179,503,017,983,145,745,833,579,
898,961,886,203,556,013,449,428,787,730,499,421,897,453,508,569,516,322,489,
563,636,307,555,237,423,243,880,209,007,664,249,364,628,373,582,955,317,116,
677,584,652,943,596,072,810,426,882,844,140,531,266,735,318,063,440,762,402,
217,204,163,123,547,990,094,622,314,213,087,935,991,376,547,726,215,751,060,
923,733,016,096,259,244,466,050,898,371,498,391,137,945,831,821,565,214,843,
208,953,961,976,358,622,464,478,154,484,133,280,069,496,476,031,611,838,706,
523,748,657,617,087,793,356,312,014,803,641,935,304,940,749,824,331,664,756,
159,404,558,397,762,306,471,517,520,136,528,064,831,936,564,751,695,438,041,
339,489,183,685,137,892,811,894,680,198,941,094,863,839,145,479,974,996,078,
565,117,960,270,402,186,678,208,341,192,902,558,902,780,863,101,138,791,415,
498,064,848,955,876,953,096,254,407,083,434,114,406,761,861,047,449,240,887,
980,590,231,698,819,241,286,848,865,608,030,069,818,380,805,916,709,364,067,
576,906,150,835,812,707,189,636,897,201,826,004,702,631,508,656,393,883,154,
415,064,330,136,942,233,047,482,605,489,020,034,499,671,641,229,349,599,634,
846,980,821,992,525,489,423,679,269,288,806,779,865,192,712,105,901,605,172,
191,291,981,387,137,120,035,327,449,356,550,896,966,935,232,187,789,140,981,
236,678,392,255,881,045,266,231,602,689,657,544,490,846,330,264,662,614,040,
549,549,074,249,481,865,491,624,492,032,616,379,234,856,877,058,191,840,374,
934,691,862,532,313,639,409,066,379,205,044,604,290,634,507,738,472,261,899,
835,161,907,278,305,604,080,314,119,866,363,898,761,010,226,521,222,296,005,
170,065,257,524,209,876,050,220,659,861,668,424,224,850,087,054,107,183,877,
432,685,577,327,638,686,430,556,565,494,085,195,795,562,215,385,871,298,156,
180,722,037,082,719,140,824,256,223,347,638,967,156,528,274,847,923,625,204,
989,390,961,861,710,157,117,106,767,236,496,378,501,437,739,556,624,416,124,
816,223,193,640,912,093,195,986,135,875,879,412,926,442,854,262,822,725,093,
613,565,677,263,484,941,191,218,817,061,793,035,478,844,405,045,074,660,196,
677,815,659,293,252,588,712,496,980,965,520,538,573,398,289,258,253,065,914,
779,493,008,220,193,978,379,929,160,343,233,834,990,698,003,977,700,210,988,
716,126,990,862,679,713,329,950,190,239,828,685,075,317,022,279,110,481,286,
970,947,109,736,487,304,520,796,215,671,510,430,896,797,993,693,961,304,079,
034,324,540,146,893,352,322,267,365,747,422,908,929,307,869,775,820,030,731,
270,248,847,438,739,417,695,209,626,677,702,771,815,237,040,694,288,307,300,
655,077,171,649,970,560,760,088,777,112,734,334,141,746,253,703,591,891,186,
729,456,260,231,265,909,605,139,907,815,967,365,182,237,508,228,918,432,214,
132,903,708,349,373,170,309,821,278,941,086,000,423,686,619,521,041,803,499,
172,911,201,115,781,582,578,920,220,002,523,401,276,540,335,044,525,898,273,
311,873,361,401,171,241,743,427,789,204,989,145,881,726,069,597,636,163,121,
355,767,912,324,365,186,371,742,633,610,608,890,641,331,721,826,362,321,943,
689,769,677,242,443,249,288,893,067,891,030,341,913,079,680,711,678,992,581,
338,040,541,556,313,991,574,013,266,562,142,144,841,708,743,630,001,083,358,
764,341,407,455,736,697,233,275,458,891,457,106,542,648,016,140,510,964,348,
183,997,605,556,960,752,587,584,013,065,511,506,559,865,360,703,804,684,971,
323,277,609,141,218,707,280,008,204,375,225,762,769,560,320,687,140,114,391,
373,198,131,073,637,448,674,477,560,339,868,629,495,227,283,741,627,888,247,
279,347,432,986,837,034,985,231,698,441,401,408,044,448,181,666,406,644,376,
077,271,401,798,409,811,401,216,213,054,080,119,836,142,889,581,523,134,121,
675,021,310,795,868,416,749,883,062,399,926,930,244,448,961,061,101,830,448,
742,498,041,496,429,493,045,587,850,483,758,997,808,520,434,771,642,524,859,
202,055,150,517,702,551,749,176,253,780,241,482,062,660,888,582,484,781,557,
476,196,537,827,058,110,822,825,341,399,290,854,734,591,738,634,622,744,873,
218,322,662,097,950,056,959,486,713,534,396,228,632,092,689,678,779,153,489,
233,988,192,484,392,221,547,369,891,760,499,728,123,945,606,000,902,447,921,
619,176,263,085,467,203,476,998,622,258,353,301,270,694,994,588,355,990,731,
188,724,039,313,369,680,867,524,493,703,604,886,753,793,429,846,403,817,572,
331,991,652,219,206,409,418,912,154,501,780,125,584,476,804,206,323,169,032,
091,021,670,696,322,546,382,863,173,054,061,654,566,594,220,646,128,054,285,
479,986,372,955,552,441,693,822,197,630,301,530,755,306,874,812,775,390,342,
485,040,670,791,371,092,828,945,090,214,829,453,762,415,608,427,047,829,073,
804,652,038,365,825,219,451,216,766,983,673,133,534,391,385,946,817,894,177,
463,721,708,047,871,668,225,368,016,550,557,104,795,812,615,769,650,931,425,
854,713,192,521,864,215,937,700,801,802,551,257,010,929,143,235,091,525,778,
030,260,981,250,111,705,617,016,615,772,583,635,109,513,498,193,945,489,851,
260,784,261,598,531,562,649,212,190,693,478,715,698,147,091,750,109,240,494,
754,534,457,631,339,180,544,221,482,300,245,804,833,429,213,213,541,540,229,
557,624,374,890,702,177,128,615,040,070,834,042,975,241,771,458,698,874,108,
400,811,576,252,847,945,254,318,595,142,180,987,528,603,284,096,382,285,933,
665,424,755,251,059,683,051,584,104,409,842,421,490,942,779,809,634,514,507,
016,753,973,556,217,463,399,752,534,782,557,890,707,989,739,677,346,876,937,
994,661,999,553,909,407,874,520,430,107,412,687,671,203,150,312,900,364,297,
383,174,253,092,964,709,540,673,053,219,073,306,906,466,921,308,651,920,783,
585,165,087,121,958,321,014,233,819,079,693,256,618,165,584,522,837,337,337,
110,792,385,641,014,418,929,158,990,128,970,812,893,848,457,849,116,976,143,
101,939,285,629,692,617,669,826,888,137,125,478,200,116,756,458,233,928,966,
323,054,036,329,350,118,375,539,170,596,309,706,637,689,013,939,885,912,796,
621,888,484,856,407,599,138,139,006,477,989,186,893,483,195,058,318,732,616,
991,562,151,256,612,322,057,942,595,357,041,356,537,691,055,770,393,841,370,
894,283,181,553,886,265,093,369,092,995,461,880,547,184,784,367,617,437,258,
930,486,353,650,902,855,086,919,961,806,104,297,250,941,413,720,802,254,851,
865,901,697,945,532,916,299,793,382,831,184,016,932,440,202,783,388,775,881,
054,069,567,708,992,004,120,583,063,934,595,941,377,188,392,784,500,814,827,
605,000,179,617,281,207,545,663,343,318,093,244,309,594,846,545,925,886,343,
758,489,649,277,516,588,667,283,905,441,500,343,519,425,636,896,771,927,002,
692,819,735,640,070,131,732,060,641,743,779,030,034,841,950,653,346,634,377,
944,193,293,650,173,213,895,233,458,530,744,968,032,979,618,648,314,663,292,
614,954,550,428,670,236,936,356,159,916,897,769,599,428,571,509,671,194,964,
551,788,462,386,561,251,818,990,691,665,825,743,500,095,493,769,446,879,386,
127,329,229,299,203,924,915,072,845,316,968,798,959,884,477,630,314,223,962,
797,131,471,503,947,924,607,532,145,972,543,816,733,346,989,776,706,548,768,
155,112,774,404,946,758,361,856,780,077,367,823,140,625,071,170,254,143,385,
822,889,506,284,614,599,514,675,977,868,979,898,609,559,857,713,295,990,863,
891,132,788,955,410,748,260,554,087,760,773,191,114,202,630,647,479,784,916,
981,653,698,839,470,863,186,464,006,847,426,500,860,031,640,538,479,225,268,
331,836,565,563,616,834,464,183,983,260,165,314,943,118,642,187,827,132,459,
863,920,976,781,004,631,165,737,419,354,261,508,980,324,887,103,843,152,966,
252,326,138,798,005,676,075,677,267,811,005,709,859,506,527,445,134,331,978,
488,056,467,464,961,798,841,318,724,851,098,710,651,222,816,923,851,783,968,
005,807,139,404,803,192,251,058,018,484,193,681,467,390,883,412,606,652,065,
060,994,933,873,630,902,130,468,286,669,234,427,163,851,828,553,722,228,541,
593,160,564,691,095,650,597,897,587,270,447,155,773,587,512,602,248,384,162,
781,915,149,677,691,450,913,664,582,317,192,701,087,819,265,764,957,852,411,
530,720,288,681,885,279,365,104,355,657,713,500,519,585,406,930,061,792,966,
208,319,159,486,414,265,784,246,373,995,556,173,333,667,146,955,832,326,801,
587,562,301,063,877,979,890,669,343,196,559,383,139,686,340,364,321,986,595,
399,396,483,898,139,543,531,488,577,729,668,537,014,640,945,474,827,594,643,
952,805,013,286,485,790,561,355,051,833,334,623,951,347,029,729,073,816,174,
998,474,871,069,368,678,097,092,549,648,931,156,388,376,573,671,383,436,986,
676,487,240,711,667,737,927,061,933,477,896,657,353,807,851,829,047,150,719,
573,741,751,829,366,436,279,405,914,633,173,639,167,719,516,573,591,630,098,
202,891,536,315,847,887,440,420,278,780,134,744,662,483,508,895,112,125,949,
560,688,591,556,127,750,020,256,184,815,114,214,797,029,991,798,042,561,477,
532,398,435,632,067,899,155,538,079,818,487,816,787,803,162,551,037,020,982,
114,408,359,140,154,969,261,754,968,356,190,024,174,741,230,802,964,709,419,
978,844,574,365,983,754,282,482,604,125,439,644,230,897,774,602,137,726,759,
777,439,831,509,381,383,695,172,509,312,506,147,510,569,796,513,315,106,428,
353,853,153,982,874,613,387,587,939,482,497,332,093,683,991,647,971,042,636,
205,552,455,534,504,423,420,265,929,768,345,766,791,454,317,787,588,411,767,
305,261,569,722,833,633,445,560,313,355,823,143,224,739,429,178,614,074,876,
874,819,454,609,680,452,355,545,314,303,030,682,252,302,018,564,710,578,471,
031,183,089,152,045,441,502,963,278,341,932,931,596,211,785,617,970,426,714,
657,720,025,332,890,061,859,649,993,013,692,612,035,951,221,300,903,371,842,
261,955,593,013,157,572,600,648,158,245,252,231,730,164,755,167,968,727,173,
830,883,875,591,551,285,101,346,159,721,891,495,140,474,905,188,478,152,216,
258,021,019,313,419,181,283,829,126,735,008,306,247,165,352,936,456,378,473,
765,128,565,507,396,553,805,578,849,400,922,920,380,138,780,589,351,440,800,
827,034,736,898,330,370,046,086,042,264,579,467,372,635,058,714,835,159,864,
773,017,029,169,225,688,603,173,195,680,195,320,557,250,251,189,754,152,650,
705,073,726,375,969,844,271,586,487,886,848,796,215,687,859,342,503,979,338,
318,289,429,913,080,083,682,164,436,440,192,549,634,905,168,410,716,674,019,
117,804,759,327,141,766,591,584,624,268,951,207,678,119,694,166,324,181,330,
904,910,521,303,192,160,037,342,343,721,501,103,277,712,312,660,198,367,859,
252,654,774,728,456,869,846,223,731,651,891,564,180,954,745,375,438,682,829,
843,088,147,106,350,127,771,366,022,254,805,448,766,032,690,864,898,362,544,
563,954,059,160,498,353,147,187,647,327,956,801,452,853,366,061,816,662,717,
783,721,680,720,915,574,894,737,981,848,281,598,177,613,060,732,795,962,275,
795,631,039,550,742,302,735,518,554,398,440,723,860,863,336,993,619,405,863,
742,662,755,978,641,036,442,138,438,114,092,604,720,873,268,004,568,490,988,
751,472,508,412,638,109,596,614,333,495,839,496,498,000,632,304,114,863,185,
826,201,936,510,898,889,093,391,283,678,187,715,271,294,103,768,519,722,293,
056,582,268,645,266,566,748,653,655,009,434,092,855,428,244,692,502,849,065,
093,020,852,589,627,093,596,062,830,003,503,456,322,526,508,033,591,031,142,
705,161,120,576,312,782,791,892,868,917,303,382,093,935,736,825,297,575,070,
610,855,864,417,339,441,746,918,702,078,345,577,300,131,348,225,476,756,599,
698,263,138,955,131,521,709,636,606,384,354,019,589,499,228,113,096,456,449,
816,234,935,758,086,041,871,486,837,031,626,923,361,582,769,929,405,560,475,
472,536,719,792,216,101,198,925,025,391,238,644,120,040,491,188,626,316,222,
938,791,663,429,900,357,368,554,472,721,567,477,276,355,218,822,937,153,934,
063,311,864,999,183,190,661,776,837,124,955,571,006,105,089,947,187,307,539,
304,782,511,365,325,181,854,951,902,554,437,755,845,141,768,816,108,693,486,
509,506,469,907,940,283,975,889,552,706,883,628,734,252,980,655,785,958,418,
345,670,581,686,282,185,045,677,018,351,077,098,596,846,822,584,930,060,692,
212,664,355,206,821,076,601,254,673,473,897,882,232,568,866,702,541,057,373,
697,063,053,511,811,025,939,250,465,685,485,484,368,216,513,633,692,908,993,
814,964,543,902,916,814,995,632,146,879,800,294,203,870,915,464,187,560,145,
425,778,707,982,680,483,312,471,331,706,143,264,944,482,356,487,925,235,635,
648,655,931,255,141,853,853,102,439,734,823,318,739,279,474,260,874,232,261,
503,148,096,993,369,673,640,617,048,750,173,083,400,386,651,865,983,285,504,
003,637,895,034,119,124,496,864,025,938,678,028,181,491,460,514,657,977,060,
775,374,179,284,837,112,323,744,180,340,271,549,955,411,493,938,472,796,289,
990,854,491,923,706,419,866,188,288,771,879,680,924,008,824,456,647,544,228,
781,637,374,896,700,948,591,878,688,658,322,164,605,724,149,127,318,604,518,
869,649,440,475,332,072,185,471,212,132,646,437,852,984,548,803,371,378,321,
613,649,295,014,040,328,328,081,437,330,361,619,886,418,314,452,771,577,954,
971,946,422,437,376,852,981,674,860,534,662,029,207,106,961,948,192,945,246,
661,709,229,245,405,220,931,188,513,877,778,893,513,899,591,680,314,313,050,
727,633,819,250,517,019,962,731,801,095,097,203,131,341,874,798,541,730,021,
465,969,604,793,284,665,762,612,585,951,859,286,701,539,284,977,494,255,404,
307,178,870,831,695,153,034,050,258,727,767,990,443,811,468,981,975,420,682,
235,090,037,376,689,100,980,601,960,706,514,845,502,431,567,494,749,196,316,
529,145,073,213,141,330,226,215,265,009,414,138,697,912,492,038,296,620,542,
329,948,851,216,962,991,236,214,129,549,851,557,934,921,771,791,758,086,178,
476,107,781,780,399,898,962,929,601,896,183,125,042,269,097,296,197,836,328,
034,423,938,823,186,001,383,383,586,643,686,960,080,968,157,891,504,261,437,
099,080,201,020,584,424,605,681,276,229,651,797,753,736,915,556,599,041,500,
746,917,820,729,759,847,305,997,333,740,014,114,905,492,885,080,802,874,537,
997,415,548,039,543,321,266,726,828,953,604,472,556,744,108,521,777,361,120,
244,442,906,968,295,167,209,591,013,184,090,386,422,041,878,377,483,645,862,
514,276,890,859,545,156,546,841,708,462,798,470,843,648,960,983,728,370,421,
251,418,665,550,281,178,800,589,676,547,362,032,935,771,964,146,307,460,959,
404,137,413,259,551,839,847,008,358,868,013,788,190,417,921,205,117,608,045,
885,139,896,627,320,076,523,091,197,883,026,030,449,420,190,501,474,983,671,
437,419,493,404,818,543,084,662,167,053,188,816,338,989,508,792,172,810,138,
056,278,323,079,497,852,199,769,518,810,853,262,945,524,758,298,524,106,576,
131,258,918,876,877,621,677,857,266,187,536,046,531,512,087,334,043,421,736,
507,296,884,266,159,590,623,656,840,002,945,364,930,851,349,316,370,906,264,
069,515,175,436,424,160,304,332,791,905,548,133,997,475,628,444,122,631,622,
018,817,309,561,758,202,323,760,350,981,604,252,235,466,855,514,535,169,796,
521,512,149,728,019,310,118,830,249,733,178,906,475,697,059,269,185,649,090,
725,694,338,313,257,146,004,753,591,706,115,202,095,501,676,354,783,584,526,
171,979,313,107,565,911,813,872,712,515,266,714,194,754,723,176,226,201,577,
069,195,257,138,591,445,693,197,549,219,559,717,364,831,896,417,226,470,101,
083,236,067,102,665,987,401,483,024,056,988,074,430,715,582,136,592,407,101,
110,792,647,129,464,089,683,191,379,884,201,881,080,726,571,143,831,242,842,
262,587,973,932,225,298,092,677,421,747,505,189,803,883,306,706,888,018,460,
676,029,019,866,092,205,731,445,309,154,820,834,067,294,556,490,957,325,271,
043,569,936,436,326,254,806,382,622,818,558,378,593,583,825,150,872,430,972,
810,999,059,089,454,904,376,283,533,687,224,228,708,939,370,407,148,930,881,
134,799,677,413,613,207,750,226,779,785,176,401,649,945,225,437,966,250,843,
140,147,513,697,141,857,331,410,128,995,886,122,548,659,690,008,869,623,006,
648,514,045,110,908,221,139,770,981,348,727,886,689,740,166,580,852,210,679,
659,126,914,664,267,861,030,796,274,812,370,033,137,182,881,849,205,155,085,
421,778,918,548,651,086,639,467,932,418,647,452,542,520,550,286,817,805,314,
502,501,920,449,417,503,096,814,108,437,307,761,713,547,425,319,993,529,413,
467,727,142,019,140,879,099,772,888,741,543,453,304,201,945,747,839,335,340,
262,899,286,615,051,231,792,011,811,459,902,286,548,906,205,334,376,440,905,
879,490,560,008,281,568,210,817,809,172,252,552,874,665,510,556,931,035,125,
242,335,726,495,684,647,420,419,202,466,685,977,188,109,197,881,642,248,708,
634,424,055,748,395,736,431,250,104,236,518,999,603,937,026,766,670,789,985,
758,484,397,247,083,879,989,951,578,941,138,108,434,097,288,758,209,955,664,
194,951,633,006,075,397,154,168,098,573,933,607,153,563,838,670,267,093,184,
356,514,568,803,325,451,374,070,707,719,211,350,821,037,341,137,270,807,203,
386,318,332,100,435,932,417,590,974,006,173,577,922,080,222,867,308,964,050,
259,099,749,894,481,183,410,738,283,147,400,867,443,924,887,107,383,681,503,
991,514,307,608,015,171,484,107,816,341,284,227,720,126,709,892,108,759,925,
143,341,627,990,655,261,638,281,726,035,413,927,803,783,860,298,709,523,214,
190,350,862,705,786,677,173,775,415,922,621,271,917,319,432,645,876,992,355,
160,136,685,004,249,652,258,729,080,141,319,580,253,380,684,149,424,569,065,
276,716,288,469,627,652,934,122,428,035,119,979,567,899,807,174,578,956,062,
906,702,130,524,757,543,402,792,368,154,900,414,900,109,311,911,197,508,616,
704,815,837,846,629,159,578,018,022,305,209,260,057,461,390,850,724,405,733,
899,167,328,820,756,723,828,785,950,343,145,272,382,139,879,227,789,645,863,
914,594,356,506,419,204,631,154,171,465,763,144,264,882,181,380,435,774,498,
324,686,419,503,981,474,861,331,357,809,912,920,329,175,193,464,764,979,812,
886,739,807,409,205,734,516,432,829,143,216,617,463,081,230,349,927,021,971,
474,009,242,887,289,493,772,727,955,455,993,116,690,837,209,971,992,051,309,
055,326,994,646,539,428,997,976,929,383,839,718,251,841,858,194,859,289,779,
483,140,523,695,229,484,439,061,394,919,453,980,616,273,880,667,006,951,027,
980,196,265,799,213,171,168,001,707,967,271,354,658,426,594,970,779,506,408,
934,699,766,295,454,723,276,068,288,978,967,049,329,530,717,583,543,106,527,
778,135,634,021,476,401,355,399,494,162,085,174,542,506,449,213,716,627,020,
111,954,774,816,874,550,520,151,219,029,840,931,225,978,408,056,184,034,386,
121,272,578,892,536,466,836,309,047,236,708,550,618,894,729,046,555,604,522,
174,687,932,993,116,730,817,313,836,435,323,838,956,684,580,628,038,841,729,
925,127,988,736,212,809,055,946,480,972,211,447,546,853,875,189,483,959,254,
596,536,660,450,415,337,270,571,552,662,875,226,553,741,653,414,451,486,387,
697,855,763,759,861,048,600,241,958,866,904,031,496,340,085,564,115,367,895,
626,600,955,946,465,118,253,218,578,191,882,403,772,498,367,061,938,237,937,
182,058,055,447,579,145,925,250,215,581,994,255,296,714,761,623,918,001,051,
084,782,900,313,637,147,436,634,558,868,235,231,108,919,520,128,941,001,890,
472,821,703,107,564,962,988,063,710,644,601,130,453,480,174,961,887,346,346,
864,535,306,224,050,034,471,250,550,386,579,933,589,046,458,618,975,759,977,
131,533,500,030,552,840,580,369,478,337,896,214,663,345,726,427,288,912,941,
732,069,160,173,790,327,198,312,277,294,688,190,187,345,426,513,471,747,431,
860,506,582,428,567,562,545,865,909,579,328,343,365,394,831,913,770,636,776,
059,460,062,644,587,684,631,660,836,087,741,840,941,613,661,466,250,600,079,
286,966,513,476,454,247,193,933,355,128,242,426,192,971,416,132,224,642,101,
825,372,688,321,935,017,977,378,089,158,858,747,145,291,976,988,612,338,527,
810,990,136,230,856,655,602,486,539,612,273,460,161,812,376,904,212,108,953,
120,683,819,511,843,621,560,274,982,705,922,256,973,839,804,816,738,843,757,
242,545,810,821,579,297,090,038,038,946,406,174,945,569,152,505,466,596,484,
974,922,109,178,354,595,798,481,629,197,158,302,424,509,496,784,859,312,392,
777,639,017,472,769,653,351,009,808,467,464,577,056,204,915,970,090,054,707,
133,658,289,245,500,523,643,309,045,131,520,414,935,045,935,290,672,783,948,
841,134,408,560,736,893,732,418,751,490,383,794,183,306,383,633,931,873,571,
241,266,557,486,404,798,106,351,176,033,722,727,808,195,042,532,878,636,686,
834,783,349,507,961,140,324,428,086,369,468,192,062,323,176,968,359,852,859,
392,456,778,558,057,052,325,031,178,976,114,022,903,429,658,133,369,526,249,
072,408,662,521,829,541,316,206,768,895,217,602,785,879,602,453,333,513,544,
062,629,011,802,233,158,077,820,081,776,082,302,018,318,544,857,188,543,823,
111,417,216,100,404,782,247,410,384,208,663,180,262,105,998,114,922,892,224,
186,954,688,388,410,981,544,103,074,231,029,703,544,727,775,868,850,798,429,
374,472,016,755,514,694,875,293,131,922,987,854,041,015,712,357,046,891,717,
422,671,538,470,713,997,415,870,444,735,854,612,170,113,378,848,292,367,775,
890,203,469,860,463,313,692,420,134,893,656,736,980,042,033,931,424,484,032,
148,410,442,598,551,714,417,808,757,851,541,224,974,373,561,745,702,114,737,
659,410,160,653,327,259,035,408,658,873,865,335,032,074,863,959,183,353,439,
377,817,869,237,590,728,873,041,466,258,185,295,420,075,493,031,453,661,132,
108,440,559,059,050,379,772,159,796,316,377,234,617,157,000,245,758,733,575,
862,340,911,067,007,194,686,976,097,048,900,157,973,252,411,770,673,631,087,
541,626,562,286,950,597,252,327,411,269,613,413,171,767,174,784,267,719,226,
872,359,346,782,469,689,012,039,989,098,018,292,230,223,073,458,848,962,388,
433,159,250,547,785,606,544,626,876,971,045,903,537,464,909,717,463,375,344,
664,976,249,379,998,068,504,192,376,266,417,187,292,337,888,938,811,293,560,
398,608,178,466,341,542,287,015,188,668,895,773,650,895,312,294,865,561,984,
551,052,946,039,655,542,655,443,814,948,751,127,076,928,649,293,750,595,352,
399,603,939,434,702,604,499,816,728,506,803,511,367,296,828,920,548,284,295,
630,665,952,579,082,999,823,737,863,432,897,147,931,323,021,681,133,956,044,
142,923,728,003,151,407,550,894,363,347,991,899,672,461,288,590,079,995,006,
753,685,675,721,794,129,256,051,849,102,106,530,179,068,926,884,933,906,375,
822,945,735,620,223,286,081,093,274,750,302,209,044,578,700,235,010,312,206,
214,847,674,406,850,037,242,075,092,699,287,119,549,160,813,930,853,674,946,
615,072,584,658,561,707,919,757,519,464,516,748,525,461,749,213,106,305,318,
002,732,129,901,973,421,617,787,059,791,706,539,775,690,812,925,185,803,684,
087,379,140,856,017,869,605,038,527,989,313,479,696,264,488,478,423,530,996,
466,321,504,212,720,507,881,257,984,014,608,086,075,417,000,124,655,557,931,
413,684,714,133,932,190,920,547,758,060,834,404,105,255,787,706,946,003,284,
396,833,795,944,086,362,929,057,752,313,815,758,090,953,597,678,283,736,058,
846,274,823,952,146,118,127,523,048,735,025,255,419,513,481,925,081,767,312,
632,905,219,577,834,575,824,919,081,432,335,799,148,070,386,116,163,765,628,
523,553,961,911,913,901,565,881,823,643,862,384,054,079,119,090,935,013,730,
252,446,923,308,274,075,045,737,861,381,775,479,778,578,622,383,932,812,910,
429,571,340,850,498,408,716,453,787,188,074,660,867,805,097,264,336,269,918,
367,063,978,545,963,778,749,780,380,197,813,304,299,636,045,757,306,202,049,
399,258,415,520,640,219,897,532,948,059,728,332,058,213,130,937,856,533,771,
642,219,033,099,073,059,325,062,700,095,221,442,086,075,000,130,130,496,441,
523,609,750,538,041,016,460,842,246,095,465,781,959,266,286,480,329,058,857,
975,841,525,521,752,763,722,704,340,133,968,649,708,591,576,639,144,530,126,
371,349,183,552,550,742,703,471,114,324,015,138,320,441,561,846,371,991,074,
299,226,480,093,869,348,211,721,615,027,144,240,640,484,586,390,313,841,680,
577,515,762,180,062,762,527,102,523,228,976,783,559,138,287,219,755,371,338,
334,434,416,623,881,051,788,169,334,805,911,729,869,350,687,276,796,264,576,
844,053,670,504,167,261,774,801,449,365,054,245,439,814,161,886,262,523,554,
924,073,312,352,670,091,317,076,996,178,794,988,175,844,231,545,018,547,950,
038,287,062,044,228,655,032,550,019,519,343,394,131,809,275,446,202,205,672,
176,041,842,331,041,090,617,342,232,974,550,726,275,808,389,622,386,693,754,
510,208,447,285,553,453,796,248,436,020,852,956,263,863,438,022,636,238,186,
685,741,948,156,874,221,964,634,815,936,996,772,439,788,435,211,707,050,348,
129,967,159,589,175,881,090,813,342,548,333,002,314,455,660,581,230,270,054,
325,847,856,569,104,163,867,688,614,320,030,307,878,307,925,103,238,098,632,
778,343,350,618,440,097,908,399,572,370,689,053,262,806,447,840,389,270,212,
490,601,007,039,811,822,811,870,273,984,860,433,891,229,422,281,324,917,681,
463,684,294,354,823,831,644,502,419,914,695,400,178,671,425,008,208,442,878,
146,883,157,067,205,398,116,534,354,871,732,738,664,133,650,456,949,169,826,
908,719,547,044,203,652,727,155,549,434,939,268,068,779,471,016,942,057,309,
911,694,664,654,952,971,115,530,152,986,757,379,443,766,896,181,637,759,543,
923,793,961,065,971,001,754,823,356,472,026,275,609,562,024,093,355,372,091,
566,794,208,413,686,958,678,234,056,916,049,692,335,580,204,957,831,581,660,
218,309,575,966,500,120,833,463,389,191,486,370,706,700,015,946,547,432,555,
730,313,917,368,621,834,573,244,409,601,777,422,522,410,585,502,254,416,943,
674,860,935,605,228,943,552,081,574,335,140,615,559,898,481,034,292,865,580,
737,306,857,680,947,147,564,799,849,497,954,761,294,331,827,280,181,998,328,
288,559,913,845,798,014,503,719,133,163,733,532,204,369,622,189,770,755,963,
146,684,672,876,700,795,526,334,206,163,976,996,717,101,092,666,096,153,112,
553,669,144,045,158,717,655,546,147,751,875,991,844,313,959,538,742,829,308,
511,775,513,904,851,020,414,196,039,491,086,826,306,038,467,074,840,597,757,
347,584,998,511,051,524,834,423,101,064,175,506,479,819,711,561,552,474,805,
800,959,269,803,038,814,919,877,143,625,366,673,967,248,617,481,370,366,667,
786,367,103,920,354,745,227,161,070,941,403,151,339,729,628,225,045,642,224,
001,088,099,959,653,991,185,158,793,605,628,962,744,593,719,830,594,240,011,
037,334,984,592,433,229,704,871,408,689,135,226,542,186,277,486,496,190,634,
962,079,589,301,706,483,210,617,531,981,435,673,912,046,117,893,921,968,137,
188,450,528,543,181,965,042,181,673,353,665,005,271,736,810,720,465,223,251,
340,639,712,360,880,255,079,107,928,092,758,721,048,055,581,007,243,307,301,
266,930,817,060,287,137,947,252,353,330,728,221,385,384,429,527,884,822,984,
427,222,357,222,561,199,229,095,262,826,260,365,223,517,017,356,982,738,809,
165,293,055,586,438,206,704,575,818,888,494,997,156,172,848,580,820,311,878,
844,739,890,359,854,034,157,281,316,692,773,818,911,821,440,756,025,275,362,
299,330,098,573,963,072,583,960,621,292,621,329,840,824,884,371,696,514,694,
985,231,821,077,725,486,209,911,004,835,362,653,015,459,166,936,462,133,989,
758,060,383,229,909,614,679,844,845,637,484,345,334,212,735,908,251,648,453,
961,320,303,674,704,282,772,176,661,523,531,067,285,762,276,880,296,042,821,
913,807,284,784,152,036,263,270,632,015,380,602,698,719,518,684,398,656,328,
245,478,048,543,962,164,653,025,704,361,863,091,114,603,520,408,369,778,639,
453,507,002,994,120,810,946,155,611,445,974,321,768,286,265,604,094,519,243,
156,607,819,282,467,283,639,432,302,296,394,467,806,082,766,453,772,498,481,
878,598,259,362,719,827,606,838,786,104,491,567,118,231,976,847,832,459,693,
821,373,430,013,000,154,455,839,628,862,815,601,420,426,817,598,963,195,436,
850,860,407,853,568,526,741,685,773,429,048,424,188,656,074,390,730,589,066,
171,684,073,211,658,661,259,432,631,907,403,373,350,030,977,487,842,335,403,
997,617,588,381,570,319,183,350,861,307,897,116,749,059,294,759,334,805,672,
795,319,176,291,788,115,436,894,327,121,490,636,776,000,558,222,785,281,995,
013,818,739,926,055,698,284,704,663,488,690,938,305,387,734,924,051,742,941,
714,572,290,515,801,689,021,313,798,867,277,648,514,373,284,445,038,837,483,
299,239,587,799,204,691,094,169,845,237,711,226,153,117,750,179,814,048,666,
151,592,686,288,026,041,117,284,500,908,402,695,004,439,322,933,810,386,853,
583,254,448,032,891,451,675,091,104,344,335,064,632,091,315,302,602,824,734,
508,717,657,235,505,454,378,768,676,242,368,875,401,076,824,231,647,189,235,
980,133,880,290,956,541,458,556,490,214,542,199,400,798,156,658,616,454,794,
258,473,933,688,900,485,601,439,545,368,316,415,678,459,974,751,896,352,735,
964,209,772,859,109,033,587,478,118,349,923,135,757,869,697,799,868,457,459,
000,543,263,389,610,896,326,072,845,088,177,339,770,901,966,974,273,804,417,
466,166,702,634,783,246,237,478,509,413,602,143,504,969,032,194,191,089,668,
901,903,681,282,436,203,264,540,257,576,441,267,733,321,081,364,967,196,738,
463,133,000,772,981,271,259,363,084,857,193,290,779,237,844,632,806,660,342,
092,636,518,379,824,510,830,481,825,205,755,250,441,643,390,574,330,197,569,
213,063,363,784,367,497,863,541,866,846,443,462,801,714,437,468,880,484,614,
977,064,266,108,332,557,973,007,503,042,000,265,211,433,519,960,213,767,445,
217,529,159,222,682,456,050,195,199,088,688,021,490,717,841,044,923,527,076,
771,785,238,192,206,314,621,871,770,274,313,791,932,835,112,402,084,037,823,
951,436,542,815,260,066,552,789,534,269,762,776,001,941,336,879,030,254,670,
327,101,346,725,450,675,429,642,159,615,733,283,935,853,771,504,440,084,776,
029,157,239,106,711,753,051,760,845,646,910,749,461,280,691,679,116,672,606,
817,400,580,628,383,591,075,951,160,839,174,320,393,868,149,187,157,941,590,
289,794,298,631,846,067,603,231,549,879,754,720,576,878,572,066,684,787,641,
290,011,799,478,311,216,156,873,069,257,811,415,281,664,586,238,494,804,445,
759,041,334,275,916,802,160,499,644,213,343,813,692,801,091,651,257,900,252,
218,660,138,010,813,544,646,406,626,241,335,996,844,715,802,577,530,854,221,
130,786,311,669,090,483,481,399,498,633,120,948,816,437,825,113,390,682,359,
322,440,157,425,223,858,762,124,045,364,257,031,514,244,908,971,532,963,024,
420,276,654,163,538,293,378,722,550,126,130,480,583,314,889,054,276,462,555,
324,417,631,330,052,305,304,016,984,050,451,759,055,605,798,911,590,491,679,
314,553,443,691,268,682,087,838,426,247,954,352,413,579,555,632,593,168,106,
430,622,722,242,642,755,415,030,502,223,648,626,638,329,459,737,462,140,066,
087,330,942,107,576,599,910,993,719,828,912,352,012,126,896,363,352,588,651,
542,752,733,897,312,124,217,841,123,539,942,117,999,701,093,353,345,681,652,
327,314,865,659,401,539,024,837,141,246,044,226,411,860,689,044,569,034,726,
358,569,515,640,743,300,490,923,154,105,876,024,541,107,582,283,358,621,933,
664,563,770,740,122,023,820,959,757,174,584,342,246,350,768,571,064,577,792,
242,821,164,736,411,045,104,860,053,591,178,154,462,319,196,032,934,367,340,
248,038,584,132,159,471,775,215,797,397,439,384,025,575,429,601,225,364,098,
790,405,216,099,694,180,461,420,372,168,395,985,099,573,817,242,302,170,671,
035,460,524,317,455,162,138,036,773,509,065,496,887,450,088,431,850,401,325,
211,517,804,320,070,834,739,660,718,651,782,370,098,682,069,251,078,278,562,
671,793,671,760,387,727,643,009,835,895,935,158,905,407,175,423,832,883,620,
298,145,374,415,098,523,535,203,859,241,074,356,048,310,881,466,094,654,202,
042,610,665,417,388,046,426,469,768,839,847,245,695,756,685,344,659,210,535,
944,238,040,271,925,357,263,561,739,975,220,154,197,207,021,006,752,433,211,
046,490,134,142,298,399,178,537,407,099,312,936,799,126,588,544,460,125,767,
598,464,866,894,739,842,112,850,278,433,711,995,725,417,542,675,832,251,244,
802,003,033,426,277,767,609,576,217,165,768,347,201,303,464,568,312,584,071,
641,512,970,452,774,035,617,451,675,646,239,065,764,037,491,165,313,348,389,
491,772,340,322,473,091,108,368,453,858,183,353,175,528,932,436,020,804,070,
473,916,669,701,668,821,059,789,848,944,581,839,919,085,059,428,901,907,335,
470,714,235,272,171,160,992,219,935,258,965,337,352,749,517,615,002,536,993,
660,114,771,063,381,683,824,420,986,306,575,707,923,353,107,924,456,465,606,
399,396,732,891,677,939,514,448,828,215,824,994,838,120,435,381,098,707,692,
102,856,519,242,536,128,479,897,779,713,937,372,951,637,104,413,990,709,970,
116,925,119,602,186,305,566,379,144,016,962,464,224,145,055,239,864,337,698,
073,987,998,535,366,555,091,028,134,261,569,907,463,052,099,727,048,186,906,
385,702,821,009,677,873,347,764,441,357,569,107,699,093,824,342,521,537,281,
817,639,833,280,328,081,071,849,434,873,290,101,260,391,819,789,690,460,854,
245,747,262,299,432,192,344,629,932,837,654,233,133,385,127,558,287,901,161,
127,411,983,309,582,721,593,426,901,904,032,445,154,214,971,226,618,198,043,
843,541,634,969,775,717,099,289,470,556,003,535,697,711,307,237,940,079,152,
805,772,132,430,022,349,890,915,278,766,839,485,277,464,209,373,092,285,159,
486,531,630,824,511,979,275,800,043,851,682,753,199,668,459,843,166,554,191,
968,390,692,642,753,085,699,030,500,411,247,351,306,386,493,778,112,147,564,
909,889,116,103,127,472,632,417,890,880,359,221,832,289,758,984,902,010,140,
008,818,495,715,941,116,747,095,186,150,015,314,512,586,524,311,704,035,981,
921,810,569,822,978,987,408,123,812,501,917,722,393,829,245,398,072,348,779,
946,503,860,728,673,142,579,315,098,829,818,701,096,208,889,743,528,470,582,
321,719,210,790,349,890,208,723,141,063,786,541,160,685,056,786,329,838,185,
259,822,590,193,023,398,580,845,746,925,597,109,041,674,030,644,847,439,485,
731,388,523,300,361,848,690,858,172,726,275,023,064,337,502,805,208,422,449,
031,734,271,031,626,914,216,332,161,272,217,143,264,244,555,049,589,001,740,
416,886,918,279,094,996,384,233,799,320,468,652,380,557,997,483,666,808,865,
784,436,980,713,079,491,647,856,802,333,185,102,656,463,356,652,379,944,230,
467,984,181,000,086,110,819,921,674,993,870,397,013,380,371,665,684,647,182,
689,226,198,329,541,714,036,766,087,184,552,294,377,216,130,580,487,839,103,
981,743,791,194,283,457,302,772,659,396,912,857,923,151,450,854,532,499,253,
852,560,853,736,419,848,213,704,160,313,874,712,031,896,637,477,375,346,476,
297,649,580,606,013,470,523,104,812,340,582,471,346,576,059,120,238,971,857,
278,920,498,231,483,240,447,052,038,609,730,001,610,282,311,108,831,539,929,
376,683,906,216,211,882,789,639,723,932,530,224,756,127,207,497,114,583,969,
332,671,209,554,221,705,117,419,799,606,993,787,209,671,117,534,265,354,411,
933,388,205,451,804,358,964,277,621,584,450,800,612,690,326,104,574,075,146,
711,724,205,695,834,123,969,762,888,627,074,893,489,861,578,905,176,524,528,
819,913,939,328,610,209,881,398,957,511,119,707,597,123,211,142,269,014,469,
544,383,272,710,038,189,793,707,239,386,693,687,322,689,338,244,685,278,665,
827,494,357,830,434,816,218,615,387,047,942,689,470,542,931,777,938,625,676,
622,739,065,415,697,146,953,219,909,378,156,333,484,026,554,115,407,511,857,
802,209,364,386,756,910,425,397,540,999,295,494,072,626,728,626,809,935,850,
929,549,279,713,334,048,572,149,362,626,705,928,996,386,961,399,511,523,714,
003,674,346,617,063,844,086,959,292,080,881,514,105,542,380,970,878,778,312,
294,283,777,681,477,949,758,282,821,485,460,715,931,244,889,662,209,765,413,
221,573,002,324,177,479,754,000,612,661,800,336,338,515,408,495,904,243,686,
276,702,326,833,720,023,728,956,443,808,154,331,773,781,772,951,386,350,963,
309,147,753,456,526,614,542,780,812,711,387,873,777,298,960,589,496,211,806,
967,129,354,872,874,926,770,931,614,251,547,477,127,759,610,094,188,090,288,
538,727,065,424,248,205,944,446,413,085,904,246,544,451,812,722,036,794,583,
038,508,449,149,325,163,993,964,140,236,167,579,039,577,177,034,286,108,585,
105,038,221,092,425,122,925,668,600,300,660,875,664,067,275,340,464,336,824,
863,574,237,626,406,515,962,091,364,226,447,874,416,597,545,977,291,937,595,
589,349,217,832,695,990,709,085,549,495,481,309,751,709,322,322,555,409,433,
580,938,382,659,630,260,355,541,542,035,304,031,098,965,669,863,699,736,514,
333,439,652,967,018,843,361,869,338,781,823,471,351,903,739,548,691,166,298,
401,589,868,958,759,175,943,312,581,177,065,126,776,870,437,172,083,892,109,
330,743,719,873,592,011,035,456,921,903,116,843,835,792,859,782,752,816,801,
209,511,751,087,616,064,667,958,492,837,646,881,116,516,814,270,690,993,016,
452,802,924,928,571,002,574,512,083,795,324,159,021,765,308,310,134,606,415,
733,245,612,944,590,026,158,861,089,003,768,488,035,053,537,108,775,331,405,
888,821,458,857,916,857,981,240,863,531,624,371,962,047,392,144,712,188,882,
954,465,853,876,696,455,928,534,029,666,468,240,419,576,497,926,730,794,715,
664,239,548,812,414,371,018,938,577,452,963,858,348,875,502,404,432,206,431,
886,430,243,418,496,782,559,639,938,744,029,600,773,988,192,094,933,448,973,
828,576,921,151,791,705,906,841,389,309,813,022,167,938,445,357,444,298,431,
666,598,634,696,622,779,509,982,108,362,692,273,148,187,085,094,063,334,339,
164,824,033,430,604,551,078,791,468,581,308,653,979,616,956,278,257,096,261,
146,336,539,464,553,191,051,396,914,011,014,187,212,559,201,829,515,132,717,
669,230,239,583,876,715,537,514,695,140,300,102,416,155,817,630,454,460,238,
678,682,069,808,884,179,561,094,778,003,289,462,631,947,112,375,491,533,746,
384,201,939,689,185,133,824,884,021,152,975,473,673,538,045,748,966,866,710,
255,241,511,492,345,609,628,301,900,780,496,109,216,184,823,436,433,869,153,
319,592,930,279,847,085,486,570,274,338,242,901,402,058,615,699,543,810,517,
659,031,980,178,679,197,449,655,828,686,996,416,384,533,325,404,522,453,243,
330,016,878,823,285,015,569,729,156,184,281,489,188,119,130,946,152,946,030,
560,877,287,230,839,598,494,977,200,545,603,498,907,383,341,921,442,215,846,
373,101,809,240,244,184,602,840,531,769,752,183,307,942,366,804,601,381,405,
629,393,776,190,102,231,609,822,295,421,536,803,787,794,851,118,839,194,428,
740,836,797,772,259,505,772,373,022,865,757,227,895,592,287,020,849,502,632,
383,959,468,565,337,731,370,051,204,359,034,877,508,276,078,023,773,890,311,
325,778,815,315,427,061,697,443,165,045,445,965,641,704,240,410,738,214,991,
118,047,389,903,798,389,085,324,635,294,900,006,982,381,745,572,400,208,388,
429,373,882,345,495,925,284,910,023,339,388,403,104,428,881,377,231,642,651,
240,021,912,705,829,014,053,454,838,665,929,427,935,133,893,904,136,140,616,
261,514,818,007,130,953,004,349,675,953,679,878,987,204,148,172,588,820,394,
638,700,460,107,428,118,858,503,936,092,832,838,675,335,879,277,592,353,722,
440,267,886,198,075,080,537,792,306,220,390,696,149,784,013,717,807,553,478,
490,166,499,592,748,672,627,016,816,592,293,401,514,235,317,684,877,736,773,
777,055,357,890,873,765,597,100,781,651,867,205,085,034,641,160,883,124,784,
022,906,922,132,789,575,369,281,609,234,831,491,698,531,753,284,732,273,929,
019,342,790,745,358,292,580,061,822,384,674,704,962,306,783,150,069,200,163,
165,627,152,510,519,422,090,273,642,856,903,100,110,821,891,113,333,791,360,
364,086,249,296,642,123,994,979,968,914,215,020,244,574,761,948,431,485,785,
710,273,231,655,102,174,939,084,668,443,642,627,816,610,456,664,308,628,725,
433,121,630,606,644,514,832,813,477,276,499,761,484,080,065,611,175,768,426,
647,494,636,344,312,445,417,218,990,250,079,537,899,815,183,469,147,171,417,
912,409,883,809,922,008,112,825,253,933,648,313,912,364,483,031,426,792,087,
862,916,880,393,535,487,847,619,355,658,918,356,768,629,043,701,206,864,708,
839,069,498,084,233,094,107,385,071,878,234,259,417,811,837,520,961,618,114,
365,218,776,781,439,606,635,835,284,356,295,495,043,118,123,122,586,470,183,
950,053,323,862,257,896,339,716,733,949,853,493,475,440,072,287,502,401,325,
552,241,057,106,473,785,799,803,322,973,367,741,528,100,910,927,534,243,728,
376,576,233,914,480,923,026,907,930,807,915,795,979,647,255,126,834,044,457,
485,608,800,363,280,860,511,714,050,931,219,796,503,267,767,355,279,511,188,
583,923,862,315,042,209,084,822,192,320,510,025,476,449,479,862,144,449,522,
064,160,586,198,682,376,222,858,334,746,175,541,005,739,650,695,304,425,809,
002,120,793,190,900,348,960,957,407,273,068,139,435,341,762,767,054,566,851,
312,298,803,382,933,834,629,686,348,284,761,945,396,206,346,727,013,182,684,
477,213,144,239,073,974,315,516,287,130,005,149,453,363,787,858,951,303,105,
290,379,271,152,100,597,168,729,754,063,762,866,585,575,291,774,259,120,358,
164,870,160,671,736,013,101,356,555,857,275,700,203,235,379,938,746,734,695,
669,439,040,314,377,717,545,681,859,318,071,023,502,958,885,749,265,005,281,
283,358,557,290,325,317,490,196,564,271,469,483,718,868,507,451,366,537,748,
358,533,680,583,229,602,285,083,372,225,317,910,196,040,544,108,519,052,435,
770,131,494,211,111,207,271,094,149,373,204,269,201,550,645,340,790,917,450,
541,032,167,253,695,643,521,621,353,897,292,527,046,531,830,244,421,945,817,
824,470,893,364,551,653,932,970,023,689,532,024,554,205,936,667,575,769,201,
318,899,820,526,878,228,267,948,082,769,544,501,328,188,702,905,439,443,085,
959,871,045,608,831,182,337,921,434,388,593,094,439,651,658,409,565,371,988,
853,968,649,088,740,893,068,882,602,054,200,898,781,271,394,080,656,249,134,
020,668,053,268,131,092,996,893,117,844,664,260,445,818,867,497,212,810,509,
299,817,981,536,240,027,295,847,766,576,546,499,852,689,153,974,182,082,986,
955,346,676,937,069,023,656,051,777,241,695,427,161,970,880,083,177,561,206,
887,622,144,614,994,855,733,612,647,841,265,702,513,965,777,154,239,690,337,
257,091,562,707,506,581,145,167,718,180,853,507,501,001,866,316,215,082,516,
006,015,453,199,982,321,240,926,477,935,619,306,501,412,807,343,735,538,468,
669,495,214,372,006,232,240,571,787,384,090,864,015,475,607,350,093,144,717,
623,352,541,318,002,355,353,354,495,556,721,005,457,416,814,715,651,169,917,
462,476,315,166,329,509,465,782,850,859,881,651,521,550,480,497,364,991,746,
925,749,014,430,360,192,768,870,885,084,392,592,052,884,193,240,579,757,831,
680,931,363,993,952,782,179,566,422,869,162,640,748,106,224,821,390,948,340,
984,355,294,612,293,054,319,329,009,848,040,468,202,924,569,577,996,869,549,
438,875,525,959,304,591,831,022,410,360,361,796,694,062,671,908,760,466,380,
677,265,875,689,736,559,774,570,579,485,813,755,171,694,837,321,257,061,407,
346,276,805,859,773,578,781,513,169,164,647,510,118,438,844,093,473,196,682,
342,765,381,119,966,111,522,299,089,484,755,697,204,718,032,139,437,268,874,
612,412,674,739,331,424,572,513,622,936,022,444,829,048,327,897,742,195,438,
397,636,039,948,089,090,969,961,434,624,770,647,449,328,809,425,578,148,872,
392,711,359,394,048,630,147,620,144,563,410,810,206,506,467,312,157,833,986,
738,172,539,405,834,742,298,163,061,549,122,348,365,049,585,469,002,646,199,
489,442,505,348,591,474,344,484,330,539,820,286,930,272,215,452,641,973,711,
372,946,084,946,569,587,442,315,172,998,695,993,805,134,298,790,546,136,109,
677,566,794,277,278,582,520,878,962,483,788,340,570,968,269,575,686,079,757,
352,283,046,937,665,291,148,972,851,100,787,930,272,935,009,736,235,455,738,
587,347,129,772,875,227,624,876,074,844,190,300,504,772,356,183,597,101,646,
089,149,696,124,318,962,691,723,103,172,340,704,268,161,607,603,416,824,930,
674,794,233,401,405,278,405,303,118,635,957,533,731,743,001,975,076,173,069,
426,445,712,792,634,985,331,170,012,425,466,532,093,935,448,613,231,738,786,
314,708,806,952,029,739,126,639,596,836,570,864,189,535,969,120,562,005,575,
025,443,396,104,262,469,454,901,739,703,512,111,996,184,320,080,641,187,585,
757,659,565,827,310,471,582,774,650,396,271,384,798,970,200,543,152,970,238,
482,185,784,759,973,418,624,157,806,482,653,179,890,142,849,513,809,479,931,
351,163,996,556,557,415,994,351,884,194,949,777,908,752,595,269,204,094,771,
957,763,514,389,343,902,658,618,002,778,995,764,707,774,592,092,058,457,196,
161,620,052,438,764,072,928,454,766,013,698,988,577,255,735,360,133,574,706,
940,326,148,948,076,864,997,167,727,724,427,906,135,460,288,439,788,172,936,
062,329,480,367,420,082,304,160,540,175,629,323,121,813,309,279,308,597,617,
372,110,921,455,183,880,008,823,191,550,522,370,634,931,097,175,514,458,034,
516,187,994,824,386,285,563,702,719,301,315,402,764,685,164,110,900,504,819,
579,468,474,544,603,997,418,846,226,198,475,262,758,890,319,285,517,425,230,
145,830,289,447,634,325,694,024,802,678,048,556,529,881,238,507,504,250,268,
172,541,161,015,275,548,771,550,056,148,799,982,654,762,976,106,990,273,877,
740,555,121,636,506,247,758,586,301,079,305,328,267,884,107,243,018,967,678,
544,227,044,405,397,698,209,035,641,285,479,335,721,642,231,240,470,608,664,
531,422,239,602,236,653,472,925,449,117,086,923,599,761,526,164,109,265,806,
282,642,522,088,948,062,328,295,331,692,876,355,031,688,027,367,184,135,761,
733,754,713,743,581,518,372,584,025,904,804,879,118,654,763,721,466,023,547,
722,308,828,837,961,033,984,101,320,982,549,496,983,427,468,495,901,678,025,
834,193,398,607,277,158,829,370,524,986,209,154,586,577,734,819,844,797,099,
517,322,379,851,061,064,203,016,624,441,419,964,104,138,274,473,072,065,518,
418,864,616,137,877,766,575,957,989,884,112,589,102,228,770,932,536,063,875,
609,778,817,678,569,755,861,635,170,418,272,891,593,337,663,037,008,780,635,
758,196,935,684,787,335,285,931,010,767,382,436,306,015,265,754,211,169,949,
662,300,691,663,216,889,245,014,051,860,179,664,689,173,230,726,493,089,943,
419,115,475,389,919,452,885,385,242,349,570,523,465,824,648,287,271,725,166,
311,870,458,776,976,798,760,920,178,876,064,041,160,644,408,413,061,783,659,
889,811,483,443,480,622,824,317,542,661,083,320,720,064,020,089,129,475,427,
909,754,594,647,381,210,453,916,926,176,906,525,987,180,562,477,103,120,550,
243,140,207,758,272,006,127,263,276,167,537,737,234,754,718,961,731,697,047,
192,272,595,549,040,283,197,292,974,940,329,115,186,906,583,480,707,420,884,
660,978,478,341,353,686,454,218,391,039,552,762,780,866,119,678,653,826,858,
865,503,230,925,329,298,899,225,327,333,651,291,873,662,667,585,047,520,521,
403,255,800,021,263,266,290,895,920,341,444,667,624,560,444,645,550,061,087,
850,977,428,881,349,859,084,791,548,560,711,600,430,022,178,304,901,357,385,
693,111,562,689,085,706,792,787,376,990,637,261,417,546,895,627,254,365,582,
132,995,269,310,139,466,970,036,730,018,629,114,158,059,153,606,561,995,587,
870,420,071,681,109,779,882,451,138,955,439,280,308,705,561,587,712,396,364,
427,381,642,726,429,126,993,911,303,270,426,427,199,534,242,775,119,467,925,
023,634,528,903,782,993,216,820,434,253,676,576,787,489,390,790,381,919,293,
235,829,301,393,050,333,788,655,749,290,843,093,020,443,202,605,778,670,596,
574,202,059,140,016,063,364,834,271,228,833,189,879,801,295,266,326,197,741,
259,669,479,509,174,750,930,404,391,244,077,258,717,943,014,385,542,001,143,
705,250,523,702,020,865,150,628,307,093,312,784,348,353,765,042,404,483,479,
613,429,985,142,524,097,864,778,728,575,276,090,846,420,550,245,116,199,037,
659,733,489,850,283,876,547,824,495,331,573,966,967,212,639,059,867,706,759,
570,264,998,258,069,810,368,052,843,040,495,244,306,948,208,599,221,951,783,
115,874,766,201,448,300,782,998,067,999,476,712,926,839,600,871,273,541,482,
418,257,061,953,789,852,969,075,790,065,372,606,127,375,127,074,578,439,946,
514,468,580,463,784,664,616,789,982,078,091,183,296,277,867,219,995,152,598,
338,924,923,976,983,973,342,509,111,793,785,579,673,869,020,618,965,244,416,
102,656,017,454,409,873,554,808,546,576,055,348,304,061,203,488,819,005,092,
980,473,880,530,650,453,995,265,096,218,490,266,388,113,381,908,845,585,146,
022,865,620,455,258,660,181,617,064,552,338,549,211,046,534,811,339,560,473,
077,124,738,684,499,558,272,931,264,112,697,657,828,257,943,568,873,134,854,
664,935,765,063,676,065,378,307,826,176,553,892,678,987,182,666,090,584,967,
037,103,509,145,001,085,121,593,325,822,543,568,143,099,314,324,572,914,131,
491,171,040,023,688,131,943,339,207,776,430,312,436,282,997,326,849,951,352,
658,603,490,678,534,910,898,566,341,097,893,670,508,884,135,174,296,064,864,
480,320,369,311,398,629,157,265,698,064,532,940,888,866,565,144,859,112,744,
552,251,308,764,796,471,956,053,217,793,210,209,742,710,749,247,145,084,456,
795,246,667,207,571,462,087,217,792,548,670,166,661,104,910,222,062,078,354,
666,794,103,411,950,457,993,906,144,868,838,236,975,457,194,368,914,548,936,
471,962,125,472,600,856,775,254,643,601,984,429,794,030,232,722,087,955,020,
306,499,048,739,071,056,544,770,733,222,536,941,026,000,087,935,376,380,758,
712,614,357,829,740,283,404,818,330,978,115,092,664,855,440,759,671,774,160,
385,264,149,639,958,626,603,622,362,759,301,036,977,611,655,797,403,851,426,
098,982,902,456,394,150,646,002,564,990,992,101,698,646,935,529,879,077,922,
766,575,950,216,627,696,350,953,780,467,042,188,567,943,161,497,371,179,520,
541,417,074,530,799,239,822,781,367,381,488,761,719,993,753,145,269,617,308,
709,086,546,142,065,441,165,735,093,332,745,893,562,552,097,380,453,037,632,
432,024,485,633,297,566,814,491,013,836,313,748,760,981,064,140,959,733,522,
713,327,430,935,669,615,555,148,358,976,011,554,875,713,709,086,017,553,218,
928,481,838,320,594,794,208,879,662,047,082,413,842,866,409,821,686,066,568,
197,475,518,838,301,938,563,131,691,258,920,167,034,119,017,860,549,532,856,
786,485,539,636,209,117,095,798,389,610,715,600,166,864,478,636,060,942,754,
949,063,546,458,242,748,527,045,493,211,634,416,811,197,394,612,883,472,099,
822,344,741,433,030,671,697,548,627,006,665,309,699,467,040,332,747,424,580,
919,779,544,137,205,704,193,913,571,680,231,254,040,534,902,117,047,371,650,
162,624,523,324,163,473,942,187,822,181,962,195,793,262,948,894,108,736,346,
680,180,356,285,346,324,042,265,986,955,095,354,367,509,437,709,226,121,276,
258,450,953,099,540,117,947,895,148,058,003,559,622,741,000,637,656,015,437,
442,636,447,373,876,609,778,116,311,590,190,727,316,702,334,705,995,249,163,
043,839,462,911,698,425,085,079,365,662,609,977,752,858,606,312,885,640,258,
123,813,730,960,369,246,225,186,045,035,340,080,530,496,582,569,851,573,133,
366,749,913,537,136,695,393,994,402,907,921,719,999,813,162,071,546,492,440,
040,886,501,156,116,652,582,012,536,786,685,921,028,856,478,224,068,816,226,
518,460,909,844,515,335,446,708,234,282,483,635,603,481,528,884,532,405,665,
527,503,073,133,825,049,075,290,252,609,107,835,005,387,870,676,450,165,030,
631,406,400,777,610,677,432,294,891,350,331,902,411,111,966,324,549,683,720,
611,851,354,073,685,757,376,150,164,465,641,466,178,462,489,002,440,688,182,
313,662,104,706,613,289,478,969,855,931,270,554,799,617,674,800,513,796,327,
806,814,599,025,052,562,406,198,243,188,743,722,462,208,438,890,024,492,211,
233,732,446,592,381,395,006,815,929,946,523,423,866,296,347,897,010,260,866,
816,865,920,628,047,765,844,662,760,048,715,916,152,864,391,374,053,673,570,
375,260,692,686,932,125,234,360,113,646,937,993,057,683,447,800,687,559,339,
373,278,539,670,907,096,506,376,877,883,575,201,359,499,225,704,593,944,761,
598,052,915,989,465,573,305,853,141,716,811,374,165,518,229,751,830,205,692,
863,772,590,984,839,077,938,393,187,667,258,239,657,889,599,194,678,025,353,
274,069,547,766,451,226,745,549,418,160,231,919,633,543,286,758,986,195,467,
807,230,702,408,096,419,519,530,599,444,882,891,934,377,915,742,214,847,421,
281,084,397,121,763,356,212,625,134,220,047,268,216,157,103,289,395,592,404,
720,374,775,123,519,231,517,066,852,989,527,255,441,284,612,954,510,691,513,
501,967,146,306,466,325,410,595,506,018,435,883,726,394,967,080,903,730,000,
471,972,694,702,002,405,442,604,515,372,031,418,693,139,235,550,710,760,431,
977,251,091,571,333,150,693,748,943,501,994,334,097,593,641,288,982,883,397,
121,803,982,775,491,515,535,197,075,997,256,213,538,252,461,441,143,149,042,
518,892,133,700,668,572,687,896,903,990,089,136,676,364,779,712,307,969,552,
979,463,873,483,256,102,856,410,374,890,611,395,766,348,447,324,549,728,112,
935,054,161,411,127,811,856,501,858,563,387,085,858,236,006,234,335,394,911,
042,233,739,140,435,344,831,193,694,044,270,291,066,272,597,234,531,938,993,
768,938,677,149,497,898,879,347,285,403,862,117,178,332,054,697,198,253,987,
903,221,543,709,549,522,647,892,809,118,097,038,368,884,064,030,585,505,314,
908,221,551,562,147,206,581,731,511,800,552,792,154,087,225,916,164,396,474,
291,831,455,903,439,531,012,543,150,902,047,353,810,824,917,525,541,713,136,
156,367,827,998,849,683,032,561,660,999,003,953,184,527,718,000,706,016,000,
028,006,878,799,714,582,817,675,264,982,325,648,777,943,678,840,806,719,719,
177,643,729,817,450,474,041,987,265,833,568,754,009,452,472,891,656,879,289,
778,141,286,712,203,427,276,705,892,132,873,059,686,710,398,065,415,510,355,
329,657,458,648,482,750,709,959,199,264,192,795,419,613,528,905,230,766,656,
225,436,932,815,726,982,994,844,813,624,468,272,674,608,194,356,472,880,763,
728,626,281,621,466,964,338,022,253,015,636,500,628,868,677,355,974,768,112,
662,761,370,234,422,873,844,205,782,614,370,375,186,533,239,412,637,071,962,
818,619,720,464,830,877,768,458,447,458,580,230,648,440,642,500,646,847,203,
205,069,575,788,443,531,865,616,354,143,873,686,442,607,952,529,634,547,882,
691,285,078,180,841,311,256,663,385,639,769,283,587,540,863,790,149,694,282,
439,516,582,086,534,992,654,951,630,193,373,567,676,725,425,822,015,017,819,
083,872,946,498,097,330,121,755,680,949,341,871,062,220,999,482,761,528,656,
506,690,758,209,735,515,877,222,877,356,318,851,064,032,552,742,294,399,765,
664,325,666,901,979,189,349,955,680,499,978,662,863,040,104,876,775,971,762,
400,593,084,912,780,858,912,913,618,026,109,742,624,623,521,923,926,890,227,
110,231,872,103,583,649,055,601,957,781,707,008,430,440,499,887,895,196,352,
197,724,123,145,402,958,402,905,466,911,332,674,496,139,336,365,487,431,717,
286,290,279,530,437,678,374,956,796,469,782,563,891,050,924,424,271,834,910,
776,925,749,087,414,968,329,273,682,617,143,599,208,382,994,418,824,194,719,
472,901,725,846,359,358,773,765,014,044,324,914,915,774,028,180,629,739,529,
154,978,416,074,597,742,183,519,005,033,000,435,005,616,820,440,539,921,610,
953,515,492,409,341,746,984,825,208,919,705,035,524,731,614,722,175,956,148,
263,124,271,782,525,354,780,955,271,740,563,939,719,834,825,431,688,205,541,
600,597,773,846,222,004,703,260,148,997,469,231,378,398,093,117,797,957,911,
951,698,503,422,899,346,233,217,865,051,779,431,292,169,391,623,737,396,281,
801,633,998,479,366,496,405,222,079,211,108,678,428,670,721,153,387,409,047,
812,209,580,360,641,162,994,818,606,561,447,953,855,936,786,782,226,564,623,
221,618,668,782,987,471,133,483,023,380,060,969,039,283,501,945,757,966,495,
554,533,199,236,928,150,572,490,015,517,302,349,710,821,704,526,142,173,555,
473,433,452,652,816,348,680,270,200,178,481,333,234,678,269,334,902,840,579,
379,567,019,702,574,622,640,860,402,081,157,082,279,328,961,579,324,645,305,
962,115,232,492,259,019,905,810,833,576,090,800,076,909,573,166,486,443,585,
014,502,948,126,885,261,037,395,571,661,158,261,241,815,710,988,870,479,794,
034,795,890,274,762,220,860,305,656,672,869,836,212,594,811,591,557,961,582,
323,379,612,019,505,198,235,256,648,080,684,124,412,064,828,568,488,955,703,
955,999,369,782,595,785,049,225,120,492,530,357,914,655,345,743,325,656,725,
877,037,256,162,411,856,385,532,631,765,932,835,741,062,303,162,062,636,261,
863,232,662,960,257,543,804,002,767,172,328,000,711,786,964,308,906,936,775,
716,084,756,508,138,969,390,087,375,989,587,258,204,071,056,437,208,722,979,
580,569,917,690,308,520,992,687,204,260,971,478,876,207,992,666,113,215,268,
034,244,771,566,074,576,098,855,046,286,875,487,044,311,068,087,323,428,479,
819,377,152,278,114,170,123,388,363,124,312,343,359,292,469,840,059,925,710,
603,050,441,419,942,356,435,359,266,670,304,788,259,444,233,232,792,145,979,
692,084,575,870,046,798,796,902,370,018,805,907,617,985,918,975,734,709,080,
161,676,508,278,608,729,434,174,638,418,020,084,189,916,020,130,394,418,648,
390,956,685,687,928,713,901,084,012,258,622,252,618,911,298,905,928,293,293,
628,994,571,052,239,839,079,420,249,809,687,337,753,747,202,435,740,132,240,
030,239,492,009,587,344,450,621,546,981,234,775,547,184,611,367,364,817,174,
310,185,545,916,094,301,129,562,338,113,458,923,123,530,324,490,269,854,064,
098,863,666,667,128,145,696,341,867,419,679,306,546,342,304,543,087,045,515,
010,709,154,002,085,357,255,472,720,060,493,368,438,185,928,356,828,573,694,
843,075,031,622,240,522,607,998,333,573,400,111,186,734,604,789,277,353,111,
627,445,390,126,304,104,467,035,153,583,705,621,629,650,161,650,871,059,336,
322,088,547,726,581,602,984,040,922,026,038,717,058,103,471,073,464,890,756,
582,017,028,810,569,305,293,363,606,574,457,026,031,524,069,072,923,192,918,
704,770,223,511,050,294,716,590,919,932,593,628,729,041,232,933,218,120,694,
280,872,977,567,920,454,640,110,813,191,855,972,016,663,772,852,576,764,596,
229,078,463,024,305,909,444,426,833,966,043,121,847,258,331,594,582,512,996,
006,134,491,689,949,261,368,319,271,966,029,769,903,813,096,247,571,268,517,
599,560,699,966,697,265,032,498,059,963,701,149,982,140,143,876,434,677,762,
503,588,438,469,249,051,987,548,410,808,065,322,602,906,000,342,386,596,631,
013,321,822,590,580,215,743,131,118,004,564,068,028,417,080,630,200,503,302,
918,345,592,677,599,817,472,745,627,245,811,069,434,931,016,265,846,369,583,
558,408,212,868,979,302,889,151,240,252,363,332,084,532,905,747,778,624,443,
286,413,695,911,021,114,413,515,151,194,848,017,453,291,449,739,878,797,782,
688,746,294,826,344,893,624,853,861,201,952,949,830,432,776,285,482,698,307,
899,225,077,392,767,901,988,550,977,151,112,548,451,553,124,344,115,402,846,
887,645,618,726,738,628,661,482,148,779,897,740,191,574,903,521,418,532,458,
259,269,006,199,949,912,239,642,149,411,887,277,716,659,010,235,435,592,534,
509,296,189,501,491,422,051,549,819,214,753,034,308,189,978,534,453,656,067,
342,158,537,892,099,109,217,702,579,055,241,791,430,983,246,583,284,715,083,
542,268,379,974,993,564,079,023,029,905,851,700,987,774,579,981,513,807,942,
095,431,405,903,643,633,278,841,042,479,983,346,313,932,474,597,269,053,858,
837,004,362,098,554,375,327,096,758,828,527,524,740,999,427,281,994,103,902,
952,275,602,385,986,724,889,324,474,260,686,757,643,795,506,894,774,229,902,
837,103,235,025,100,386,403,185,468,696,365,350,289,474,022,244,204,490,034,
792,413,537,674,893,653,269,674,786,731,996,026,513,703,362,228,872,658,579,
729,439,683,942,293,029,529,916,521,205,519,840,233,779,374,156,587,741,059,
332,717,646,971,455,469,355,311,697,814,970,645,255,216,893,504,313,893,026,
929,916,861,603,967,556,286,930,031,126,485,143,823,817,658,385,775,102,530,
575,076,262,571,222,266,554,860,434,328,214,764,683,348,840,673,863,316,860,
993,837,958,233,100,308,971,485,370,735,803,828,511,214,614,681,901,345,829,
451,841,144,513,000,657,175,883,529,577,964,003,732,281,870,438,513,467,197,
732,060,368,077,047,788,258,965,968,283,930,095,108,037,919,689,944,305,619,
467,857,109,877,736,743,295,335,212,457,685,458,122,483,832,901,985,446,256,
873,462,921,059,592,953,275,074,072,199,648,062,450,131,981,298,544,135,326,
732,252,857,073,241,373,513,802,385,338,335,686,751,786,647,828,973,890,027,
753,984,668,691,856,553,600,188,089,566,654,356,468,297,074,701,320,365,733,
464,826,017,442,427,904,534,150,874,459,850,840,108,610,708,213,521,534,771,
823,509,432,912,424,587,074,249,846,576,627,584,222,703,131,370,299,705,522,
754,250,515,971,985,757,110,368,650,597,562,681,643,712,582,278,013,075,548,
053,467,820,663,094,999,648,790,517,307,851,988,935,227,781,000,998,060,021,
563,914,903,733,611,871,083,436,826,665,442,135,933,520,814,493,469,625,187,
631,073,990,455,464,078,477,365,012,488,043,136,410,428,812,172,402,684,686,
034,989,552,376,580,283,298,298,668,822,288,319,434,072,632,261,767,867,656,
551,956,053,104,496,844,299,843,789,546,194,395,415,202,610,464,462,083,888,
352,504,581,199,146,548,969,567,089,109,067,992,275,892,035,064,029,686,893,
724,646,842,554,122,727,016,854,592,549,142,920,658,792,647,665,400,598,393,
934,343,022,911,642,407,638,489,233,964,876,101,549,857,636,825,153,968,467,
494,303,620,695,828,048,308,201,462,546,482,647,696,754,477,687,538,143,194,
588,479,415,861,381,088,301,342,111,592,721,662,677,370,071,472,921,404,831,
841,065,040,861,170,069,746,046,460,841,386,008,053,637,714,620,427,797,781,
208,539,974,388,840,785,081,241,181,527,337,815,912,859,229,682,402,679,405,
076,624,994,602,790,317,299,750,004,420,244,388,196,519,618,162,239,149,017,
461,518,045,420,406,020,131,152,995,313,582,020,440,446,517,048,347,830,145,
356,714,058,894,601,045,525,673,949,154,355,142,003,291,568,689,655,594,550,
869,607,094,308,452,451,661,609,896,283,107,467,638,212,988,588,091,501,182,
811,982,007,138,599,731,472,063,140,111,306,720,600,853,627,933,308,133,776,
231,692,546,444,391,200,795,309,833,842,566,115,376,144,950,905,954,987,116,
300,400,486,832,657,995,363,253,140,015,794,703,901,297,126,338,597,099,786,
492,670,630,792,232,011,200,049,443,731,104,792,219,306,631,808,692,345,839,
017,139,448,164,263,349,922,569,312,245,481,861,924,441,484,060,320,368,129,
967,996,138,147,977,085,802,430,894,157,455,000,813,360,947,181,951,605,345,
915,024,605,685,456,778,863,759,320,717,032,614,990,928,520,899,696,453,111,
375,911,752,208,377,594,844,390,011,507,929,754,697,023,183,800,513,980,543,
110,258,468,449,032,136,269,028,197,048,795,220,263,375,853,543,735,346,541,
608,176,398,513,566,258,311,451,193,307,752,061,652,826,873,522,138,490,845,
122,679,727,999,408,912,511,884,380,526,991,683,525,575,417,545,571,709,860,
647,875,095,205,637,277,967,067,269,865,717,685,784,428,595,129,320,181,325,
186,174,376,446,181,470,129,604,010,292,991,297,090,963,718,662,518,414,090,
943,712,105,538,339,755,324,799,025,151,180,232,093,354,297,586,420,665,201,
510,787,707,609,709,828,192,203,445,649,194,551,893,266,409,502,988,241,892,
878,838,108,879,361,177,133,328,757,135,095,893,224,751,722,307,217,112,673,
352,612,815,692,772,418,298,844,064,455,386,865,683,019,977,298,517,784,694,
074,665,246,677,645,117,544,787,150,221,441,756,395,714,166,413,072,936,201,
266,306,165,413,432,465,733,808,936,129,895,844,827,073,175,778,972,337,810,
969,697,986,023,557,247,778,223,350,488,100,814,697,722,365,127,919,909,793,
806,250,619,819,019,358,941,357,320,089,316,824,485,956,994,676,501,180,668,
777,078,485,953,038,512,203,624,543,004,618,553,894,433,894,493,897,406,330,
356,368,777,981,479,114,631,859,261,915,159,537,931,558,186,168,088,314,816,
385,213,057,320,551,490,920,782,399,655,217,211,997,734,559,741,607,818,169,
456,193,306,965,164,793,741,575,062,753,466,482,836,788,990,834,825,844,436,
728,253,128,443,499,144,502,006,335,485,818,134,443,070,486,463,577,180,439,
751,055,025,598,300,049,653,399,436,524,177,678,898,611,848,942,463,276,816,
549,747,091,754,377,625,221,828,897,289,980,391,948,398,753,724,805,959,943,
654,575,984,302,921,900,324,045,271,732,325,833,067,254,914,117,648,483,191,
703,359,386,632,146,828,418,616,871,610,386,828,224,129,579,455,295,913,351,
248,262,395,857,257,901,579,891,339,371,385,058,616,989,013,452,414,020,021,
663,506,787,937,673,047,121,542,847,269,455,940,463,064,501,112,353,197,640,
527,537,791,127,287,634,591,808,915,237,601,982,056,735,905,935,625,276,213,
767,186,332,197,592,524,629,333,263,305,317,207,545,262,725,329,290,556,446,
012,641,222,835,352,139,829,097,040,264,720,681,130,880,729,475,293,008,943,
756,995,421,713,414,463,448,965,312,645,112,683,367,477,795,855,267,642,097,
799,911,878,889,833,089,791,411,607,399,516,863,620,421,315,853,542,253,709,
655,700,519,857,108,503,206,528,421,440,380,620,493,156,581,759,993,554,481,
143,703,972,364,265,978,959,806,433,223,354,564,971,987,740,366,396,667,811,
884,269,071,861,651,678,278,097,648,780,914,440,427,163,129,291,302,673,147,
352,251,924,043,430,859,885,490,718,163,901,043,275,911,753,608,425,969,513,
894,336,888,889,779,066,920,981,048,067,126,905,333,296,464,587,917,040,250,
120,186,201,403,033,732,036,375,876,555,646,849,870,293,646,693,024,983,800,
346,974,805,201,443,959,043,132,501,500,743,278,967,210,206,265,737,009,092,
377,199,991,395,373,649,007,425,448,642,732,312,621,154,448,889,124,530,817,
343,834,669,612,643,134,506,571,181,077,002,487,634,773,339,003,272,460,691,
625,096,911,999,869,134,434,228,480,353,443,328,978,715,685,401,062,356,096,
662,475,276,922,580,589,753,888,826,553,529,905,144,999,654,546,868,923,186,
868,217,407,286,447,856,191,459,666,241,873,259,154,727,649,828,775,413,857,
769,033,185,481,729,130,536,682,090,346,038,614,279,702,078,977,062,278,573,
583,287,686,830,836,495,741,334,018,703,895,163,579,567,393,758,427,124,810,
214,312,697,700,776,818,417,415,787,145,247,760,818,301,406,138,936,850,345,
904,776,958,208,679,157,951,845,422,168,926,515,483,394,488,102,120,645,534,
777,995,741,521,342,725,874,980,644,962,142,254,911,827,666,248,670,364,928,
636,781,276,352,311,239,074,879,023,157,396,097,072,397,388,161,053,726,900,
249,405,026,223,602,055,326,642,790,387,530,650,654,275,869,589,650,794,628,
715,163,773,194,792,640,162,685,382,001,567,923,830,601,707,634,495,356,876,
967,911,166,307,712,010,253,685,261,817,463,503,547,022,441,793,617,556,570,
129,848,639,872,370,773,807,294,793,275,923,865,420,672,272,062,393,558,584,
249,363,725,335,555,463,217,841,945,063,630,332,247,127,085,505,857,818,312,
598,678,279,194,640,934,523,504,392,818,496,293,162,116,340,294,229,737,017,
404,460,821,875,992,955,052,732,560,600,343,010,474,159,162,908,386,531,805,
344,232,431,227,965,107,760,622,088,452,380,822,559,187,506,765,574,423,021,
796,083,164,865,774,116,022,513,290,301,934,025,045,815,708,920,176,528,700,
235,767,994,411,636,833,436,513,601,447,053,131,207,407,231,186,971,656,814,
289,190,774,338,879,774,392,702,603,898,447,924,391,520,358,449,227,745,587,
083,504,652,432,542,751,220,014,696,459,031,906,142,390,345,317,235,297,261,
188,761,364,834,772,718,826,678,034,822,871,464,996,010,806,119,052,350,085,
007,298,668,592,997,497,708,027,139,459,634,611,507,843,491,739,004,220,453,
760,291,115,128,687,649,143,604,595,784,789,360,269,212,785,746,300,331,741,
613,113,970,321,373,633,901,287,952,858,443,601,168,847,096,219,324,421,469,
426,808,971,134,092,539,913,925,665,846,222,591,486,095,333,514,007,371,727,
735,567,304,920,058,421,288,411,563,591,036,213,486,215,060,081,504,801,161,
519,989,379,026,926,519,873,636,636,793,669,774,960,902,030,373,256,867,790,
099,040,622,917,709,378,442,307,455,479,294,838,867,327,448,909,955,373,676,
235,510,303,771,014,005,278,020,209,669,668,977,718,541,355,003,850,073,913,
842,524,916,171,674,283,524,570,049,677,858,169,978,666,004,205,508,826,203,
883,999,336,577,434,445,664,676,897,337,314,324,525,418,101,698,731,116,040,
351,503,643,512,206,402,691,943,362,007,625,136,259,895,565,629,471,256,135,
338,117,536,652,142,385,385,220,626,231,805,290,969,066,275,639,940,864,251,
268,492,679,520,000,314,404,552,374,730,730,626,901,783,700,689,002,811,232,
149,962,061,831,597,806,776,020,983,396,742,269,426,019,033,934,479,732,265,
447,947,666,628,586,090,995,194,105,150,271,909,613,130,924,626,948,711,216,
418,279,015,713,043,957,564,281,712,794,809,266,111,978,506,071,543,672,084,
187,747,884,492,605,110,575,716,846,167,277,509,381,083,595,685,437,120,496,
733,042,428,988,226,537,761,097,609,045,226,614,883,809,870,322,065,386,018,
617,572,080,515,248,432,697,393,561,599,985,087,635,325,588,455,122,503,645,
416,923,967,368,376,119,146,066,965,632,693,825,886,331,044,976,104,721,978,
959,338,729,295,375,826,118,406,293,740,414,888,240,986,746,953,873,367,803,
751,285,805,516,802,742,039,926,718,608,712,158,763,530,753,855,752,118,368,
941,230,941,414,370,163,240,481,482,973,442,045,496,143,848,232,973,968,035,
090,542,173,805,530,753,781,806,070,122,831,341,843,073,910,649,895,327,135,
398,124,553,972,606,559,353,514,741,446,365,169,082,932,083,951,846,308,011,
824,193,084,161,590,281,705,794,096,382,793,835,571,917,826,724,038,389,221,
734,903,473,002,971,251,271,179,415,159,320,475,828,602,733,302,193,466,869,
475,918,859,528,910,351,929,638,049,399,280,098,943,036,750,714,544,862,197,
361,725,183,962,902,403,423,138,757,916,541,202,115,220,888,536,695,355,774,
475,392,635,422,743,475,120,152,734,678,680,194,148,001,005,280,076,706,653,
956,040,492,348,119,103,776,337,110,866,867,032,481,968,533,241,782,451,490,
751,501,584,390,412,143,766,737,760,926,237,124,452,562,348,077,354,864,681,
835,193,701,769,781,792,545,910,288,190,041,194,689,617,149,621,502,842,675,
930,091,406,068,842,760,191,016,161,964,028,221,618,211,493,337,897,991,147,
228,478,978,243,359,201,765,753,934,056,267,022,666,403,284,044,902,002,930,
399,347,399,667,522,483,110,097,217,630,894,254,833,950,558,857,394,545,653,
495,132,057,999,239,708,255,419,404,724,842,777,387,713,216,744,044,175,909,
445,539,680,440,891,894,503,547,520,292,788,293,044,609,355,203,226,666,501,
689,430,656,414,118,433,240,462,774,393,859,578,541,757,555,649,324,468,138,
402,794,775,364,517,714,270,425,053,855,878,937,905,097,518,101,549,453,209,
993,438,479,208,878,177,511,621,767,386,766,984,066,707,624,088,810,662,976,
265,230,978,499,751,338,975,093,707,107,776,666,456,456,788,641,315,290,506,
353,888,094,892,541,795,783,051,435,949,855,274,645,813,890,836,923,864,035,
251,869,515,918,917,292,785,166,456,859,826,516,824,689,172,547,064,887,639,
257,595,814,983,275,848,969,177,569,368,586,322,314,325,076,297,499,007,952,
711,208,934,157,230,529,590,341,359,108,024,844,927,126,864,982,763,139,555,
038,936,904,719,826,554,928,368,390,971,988,467,896,979,422,425,139,082,274,
949,453,544,274,436,356,249,500,849,238,782,934,487,240,562,231,516,167,264,
277,220,570,883,045,344,581,478,069,447,453,724,835,715,201,741,902,274,006,
773,577,076,414,796,168,513,369,921,591,745,176,676,778,175,478,946,341,110,
309,090,787,031,698,890,665,930,377,670,881,145,452,229,821,194,257,912,130,
483,541,775,901,698,829,674,139,612,466,463,052,037,120,094,464,521,389,586,
256,893,614,811,337,484,407,818,671,520,539,089,170,876,175,045,567,239,120,
696,730,595,069,392,657,240,419,832,291,872,514,049,529,785,450,103,653,036,
668,351,831,603,219,430,446,489,169,417,839,396,578,628,930,576,233,442,816,
813,024,440,160,924,595,635,397,161,200,435,190,161,056,171,221,858,008,222,
263,962,867,414,948,374,346,666,672,884,978,565,112,484,570,896,106,607,108,
345,286,920,890,077,901,198,396,557,273,111,506,076,407,978,749,147,993,232,
731,342,001,882,038,437,724,596,396,374,858,121,319,130,314,411,905,511,730,
457,744,503,357,005,424,300,768,283,071,230,700,567,075,680,350,197,130,044,
694,614,851,911,673,577,337,153,153,238,018,761,649,138,091,682,965,345,805,
418,490,769,185,642,988,698,787,338,932,843,307,477,503,133,737,708,444,314,
063,129,708,249,823,870,922,775,418,628,574,331,256,190,006,112,571,289,828,
500,320,675,172,625,831,336,684,536,459,406,915,242,157,686,457,799,745,921,
894,969,984,290,567,941,716,927,734,497,756,212,317,672,631,988,227,089,789,
380,733,818,498,066,948,209,482,329,940,603,417,693,470,329,801,962,886,125,
574,954,151,772,169,395,856,640,152,711,483,562,587,497,527,301,819,180,017,
340,717,081,677,538,033,885,254,895,307,395,487,273,352,889,596,382,579,635,
904,090,913,284,208,010,300,268,736,787,325,380,384,674,871,826,816,182,087,
061,734,541,919,060,080,749,933,361,788,216,023,564,982,732,622,631,502,771,
954,354,807,448,426,497,308,656,718,015,376,453,496,617,898,295,810,547,734,
821,245,017,648,943,086,326,569,406,090,584,681,638,337,408,128,598,242,157,
581,952,841,220,546,356,465,992,324,946,851,462,939,702,105,135,871,459,162,
955,607,896,131,124,724,935,248,887,299,853,912,523,238,895,918,891,313,338,
137,947,375,100,632,881,094,394,279,041,382,318,535,962,800,386,709,383,901,
005,711,277,796,549,578,807,789,024,562,511,402,217,897,671,969,291,167,549,
501,514,865,931,939,072,532,809,964,801,814,654,929,033,110,002,730,566,468,
294,287,077,147,051,341,955,264,680,905,951,462,259,199,640,682,972,862,556,
207,920,153,614,005,853,248,138,149,730,413,519,082,660,710,071,886,838,630,
457,019,576,109,667,222,680,295,701,515,287,346,769,987,106,013,966,521,476,
349,159,136,093,644,181,895,020,254,455,852,440,152,069,202,527,075,025,183,
076,076,398,629,855,246,758,553,997,275,005,487,242,685,189,898,241,842,012,
934,474,978,648,353,426,328,302,005,976,420,914,807,930,002,110,285,898,639,
176,140,691,520,093,448,724,179,550,584,217,685,353,641,583,991,296,224,202,
792,853,436,083,917,755,699,210,876,461,110,676,271,446,064,751,318,643,046,
773,250,423,120,847,068,787,240,115,171,729,813,509,461,186,360,886,739,364,
107,678,427,433,239,216,423,041,304,951,195,490,716,294,872,537,516,338,108,
469,234,534,045,903,759,971,104,989,715,539,292,462,071,727,082,177,114,951,
729,238,171,201,110,905,071,612,340,131,160,172,692,076,562,499,964,940,151,
962,636,218,325,698,576,185,738,112,697,816,799,051,975,027,673,686,823,083,
092,309,650,674,714,386,368,853,984,900,966,923,897,660,818,094,956,987,566,
369,315,490,944,479,803,625,357,669,162,584,888,397,296,065,383,830,121,565,
527,243,469,877,249,855,402,578,946,005,172,498,569,052,081,331,342,830,269,
302,324,533,852,803,899,011,238,979,765,288,854,876,741,071,672,606,993,920,
529,086,827,909,204,548,258,926,735,765,468,308,010,822,648,151,655,497,525,
072,078,720,102,198,137,767,854,163,517,263,954,900,076,626,219,699,153,676,
621,612,419,641,042,018,514,252,573,165,322,221,030,828,993,605,836,108,149,
869,727,971,494,454,270,132,830,850,130,172,051,632,059,804,655,849,131,359,
251,710,832,966,942,949,639,643,334,325,008,549,800,816,155,164,948,178,795,
136,059,104,573,846,646,757,892,008,636,675,623,089,828,317,928,053,676,181,
811,317,665,483,684,032,500,555,396,573,389,973,106,027,597,618,247,286,090,
726,912,818,880,246,760,725,819,733,891,425,026,009,443,127,551,295,008,898,
848,664,284,822,413,094,639,895,356,320,343,234,266,939,850,130,305,662,832,
909,327,328,816,573,129,369,342,694,715,986,760,827,150,085,151,157,614,250,
392,473,574,842,711,721,945,612,083,740,785,643,944,022,537,345,153,280,001,
844,851,667,451,688,156,201,909,632,858,976,824,781,378,885,226,954,484,340,
851,405,915,733,010,370,304,989,288,165,999,726,630,339,503,468,879,888,088,
712,814,899,006,555,973,783,334,127,983,451,342,620,594,406,090,349,868,393,
633,086,146,379,995,210,809,227,743,219,711,545,966,714,864,161,555,904,382,
912,989,054,714,804,237,650,404,021,055,110,701,144,444,685,262,537,840,366,
353,383,750,783,637,653,529,250,756,901,245,484,149,472,461,001,920,213,449,
278,995,523,937,097,412,238,305,381,236,902,007,224,210,018,090,421,621,259,
499,710,082,392,234,487,703,819,705,180,452,553,885,013,770,426,283,278,274,
681,383,577,917,633,771,059,101,441,040,038,822,223,939,329,064,096,540,115,
096,589,635,512,177,197,813,661,708,810,179,344,259,580,230,093,165,203,889,
029,244,601,025,888,581,533,465,482,136,498,510,572,014,764,860,262,766,752,
869,011,196,487,043,997,879,262,142,335,928,844,820,490,171,951,182,705,202,
619,983,699,446,596,388,866,734,867,816,696,368,453,389,608,072,848,348,777,
603,489,276,927,861,050,761,806,553,342,288,363,396,017,558,954,098,653,397,
160,311,469,416,819,094,904,363,577,538,795,082,080,360,011,535,701,922,654,
803,743,735,812,875,239,783,302,114,908,004,784,380,050,868,784,969,785,131,
007,126,886,817,982,683,129,238,649,040,959,338,619,461,307,151,679,485,570,
967,312,420,526,170,775,990,347,594,965,908,324,981,949,628,627,449,609,358,
172,045,230,403,756,234,458,786,685,489,455,787,268,298,458,605,454,941,402,
489,407,522,633,063,938,016,337,376,596,204,318,821,177,069,875,281,888,752,
857,887,739,832,196,126,936,670,891,393,360,504,468,993,965,755,360,735,557,
671,328,256,244,017,522,155,037,291,891,949,863,791,841,186,356,089,737,879,
692,947,409,663,552,736,274,043,958,639,720,221,848,746,101,787,578,234,859,
306,585,385,939,393,077,081,840,445,717,423,969,990,770,998,377,374,300,040,
221,682,296,121,626,852,301,323,928,051,366,449,748,641,229,250,532,640,356,
725,557,587,041,688,603,683,306,330,651,255,628,776,607,503,352,034,992,530,
439,232,909,111,535,570,510,884,848,838,753,150,922,667,423,576,655,443,823,
468,427,414,875,256,393,857,828,049,485,736,449,641,642,073,684,029,485,667,
917,231,813,322,523,955,715,386,440,019,659,519,020,155,085,013,105,336,897,
545,904,587,818,842,584,319,202,375,829,228,360,761,629,464,204,029,836,721,
822,409,645,998,146,796,005,126,348,604,602,094,055,725,301,019,658,817,069,
398,794,039,445,512,940,174,411,692,472,931,950,276,535,435,171,247,340,529,
011,971,601,287,816,590,250,063,201,723,398,147,279,487,650,504,688,971,002,
722,628,196,697,130,491,120,883,478,565,541,925,689,495,540,447,342,394,629,
286,657,583,147,576,104,463,870,966,402,056,646,147,309,832,788,142,446,371,
333,935,981,239,986,341,170,057,256,685,911,828,334,480,540,229,602,871,349,
975,820,355,703,565,090,506,796,664,785,623,135,142,570,152,636,295,634,195,
131,970,752,338,553,765,784,644,933,842,460,790,114,317,927,357,974,512,469,
582,802,155,106,838,461,817,213,867,499,955,727,311,642,900,675,642,585,607,
009,977,889,291,529,817,000,473,581,407,872,004,579,947,052,683,682,981,595,
248,987,794,437,690,931,990,501,463,650,837,675,672,408,428,764,569,090,613,
375,929,985,665,756,422,136,404,764,704,474,832,275,510,171,516,695,514,433,
761,209,132,066,641,761,270,477,328,558,638,989,197,489,247,449,135,576,730,
532,217,613,947,466,279,621,274,422,856,342,064,593,194,239,136,841,461,476,
639,831,976,073,701,849,617,066,404,916,580,643,639,772,388,865,182,285,915,
116,837,666,648,890,074,206,248,996,851,256,609,418,845,120,693,023,029,104,
330,482,631,374,757,063,552,159,608,943,586,072,450,640,357,122,707,326,158,
307,377,259,240,978,903,273,073,182,075,509,756,054,677,867,478,139,889,825,
371,277,193,364,584,083,427,857,373,463,733,095,170,179,375,614,902,496,565,
519,731,871,297,690,294,539,295,129,001,566,052,372,682,729,810,893,162,724,
774,088,579,575,340,457,557,083,947,949,363,812,345,451,347,243,471,954,745,
609,075,877,637,035,704,476,052,648,541,935,262,186,690,598,941,182,278,816,
380,409,001,083,037,531,586,567,961,456,152,549,330,570,756,997,329,386,118,
202,412,839,615,610,710,820,848,783,642,104,104,661,222,280,056,873,977,402,
373,075,808,544,989,449,206,523,961,851,465,621,048,084,305,633,088,930,591,
425,201,353,490,252,626,985,005,600,371,645,401,024,469,845,655,602,761,604,
214,992,667,625,689,737,623,928,760,487,397,529,730,756,826,355,625,523,388,
031,510,823,333,948,380,104,113,089,015,964,428,637,610,809,867,671,870,126,
665,597,021,606,229,887,192,596,123,433,779,840,290,577,121,793,843,815,096,
615,375,743,721,702,638,977,038,175,374,491,216,627,255,080,008,927,699,823,
090,084,224,083,527,972,740,819,005,040,172,660,559,080,047,778,032,794,411,
923,834,309,238,911,550,768,619,237,088,789,158,154,297,865,541,010,956,219,
674,849,889,032,836,399,995,985,116,294,560,906,751,883,063,885,183,006,365,
382,060,547,468,467,292,369,705,464,467,584,297,642,923,859,617,987,381,997,
972,647,773,976,938,767,977,843,480,752,875,411,681,878,869,069,048,620,721,
828,257,586,797,022,615,871,218,646,966,650,789,457,378,605,396,427,117,857,
587,726,955,543,209,977,270,523,607,613,861,881,750,076,132,842,210,708,237,
718,601,363,433,188,959,714,059,909,512,417,331,308,054,341,377,959,939,994,
199,835,870,009,557,786,477,356,439,988,992,873,218,094,686,197,015,009,153,
900,610,264,062,261,026,335,661,364,808,488,737,373,451,772,228,845,061,637,
192,557,478,284,624,997,074,483,236,183,587,334,555,819,364,986,838,960,620,
541,448,259,626,993,931,282,726,062,957,807,360,134,812,369,174,910,679,521,
751,153,655,824,416,301,111,698,061,977,949,159,330,232,867,255,216,851,051,
923,437,717,833,738,396,938,815,672,725,582,830,117,929,292,462,280,326,856,
280,826,825,829,301,416,618,573,029,373,950,424,336,618,935,329,328,416,109,
987,070,334,715,039,317,623,094,176,773,104,478,491,219,196,492,086,615,473,
574,095,295,113,867,747,499,154,849,295,507,508,224,606,545,849,991,795,480,
027,648,695,683,914,998,226,458,111,521,223,586,454,033,881,099,037,824,870,
476,961,125,485,268,733,530,016,607,756,540,329,438,778,621,237,580,760,841,
665,702,992,555,585,391,681,637,493,071,772,399,981,013,142,579,514,930,588,
154,744,279,158,686,674,532,022,917,473,062,757,880,676,933,559,662,019,707,
831,229,729,440,675,313,937,132,999,227,652,445,284,712,707,527,433,288,060,
445,556,327,920,320,813,058,684,507,736,668,750,592,532,649,959,165,912,327,
143,247,063,300,902,159,143,864,822,589,354,086,232,494,639,208,919,895,073,
527,682,891,843,151,863,456,873,181,273,417,264,088,571,693,035,295,914,681,
014,323,989,188,341,369,995,051,672,512,763,317,327,749,986,590,591,655,747,
997,745,926,251,823,544,259,026,422,086,074,225,115,803,087,802,614,885,743,
378,626,957,097,761,964,379,208,053,269,088,882,040,443,545,462,048,490,195,
948,051,256,318,004,244,063,377,973,018,641,011,070,814,610,331,288,433,078,
778,559,379,887,448,116,375,337,208,657,723,836,374,588,083,917,857,035,725,
481,488,991,944,271,802,456,266,677,330,753,092,395,520,475,681,439,896,181,
312,139,677,197,004,796,083,795,297,882,682,392,013,739,310,878,211,484,521,
584,993,683,893,595,588,719,859,175,215,988,416,260,384,535,782,810,423,580,
884,837,966,294,785,969,323,409,479,579,300,241,570,123,459,641,527,324,362,
819,038,511,386,186,418,545,439,468,294,750,845,845,862,711,165,161,868,260,
809,157,073,067,030,291,079,906,042,550,529,438,078,950,623,264,220,971,080,
937,981,278,380,607,021,323,599,714,368,298,268,300,110,799,301,401,725,622,
530,942,614,310,118,698,882,333,639,731,072,873,036,176,419,419,896,806,301,
332,058,589,474,768,393,739,396,318,483,324,608,170,642,921,023,477,992,694,
483,372,817,173,959,804,880,267,997,622,515,624,778,080,266,658,676,794,085,
941,161,252,030,735,367,715,635,603,041,781,698,677,300,338,387,062,782,363,
691,246,167,386,025,571,988,762,616,580,238,532,015,310,802,812,501,745,119,
908,860,563,299,431,207,671,955,101,989,112,607,309,032,160,391,621,627,986,
724,832,309,430,233,381,175,722,342,201,275,738,579,419,718,300,358,291,248,
048,330,385,479,820,147,612,574,838,292,159,582,351,281,917,281,078,542,814,
991,925,204,058,381,148,023,715,043,273,766,964,365,302,422,206,091,371,537,
737,850,043,607,133,169,889,302,589,607,416,344,165,836,762,927,722,899,310,
520,351,317,813,569,167,458,274,008,925,094,154,325,143,419,383,491,692,794,
773,165,259,535,998,670,149,535,113,817,650,529,194,981,744,118,672,314,569,
465,002,243,627,241,867,439,844,428,162,462,052,929,735,296,495,348,858,128,
258,528,450,043,512,997,442,690,767,383,960,529,732,013,639,261,051,969,794,
421,308,473,114,748,689,354,288,517,542,367,043,339,206,782,867,125,956,275,
122,753,054,293,396,500,876,642,041,375,541,700,574,212,159,531,305,056,181,
016,936,393,222,912,181,464,225,621,214,497,120,997,278,561,856,663,920,051,
157,947,667,806,996,178,443,157,423,711,527,198,833,124,695,309,035,561,423,
394,845,892,423,847,976,311,194,120,925,754,178,006,336,709,658,938,008,903,
779,317,609,256,618,671,783,969,784,258,956,058,628,230,969,570,466,915,515,
270,265,866,493,107,603,383,866,302,850,340,657,931,851,433,529,756,425,306,
886,496,890,620,670,491,013,005,543,149,735,200,780,458,309,913,460,491,723,
338,880,376,572,527,513,611,180,796,463,483,923,679,275,611,567,749,442,383,
549,235,554,172,125,617,410,938,868,358,775,431,639,610,235,795,525,226,555,
249,560,195,225,151,322,387,936,172,118,304,481,319,715,266,523,393,951,022,
733,034,557,361,225,809,558,419,961,446,353,055,633,515,421,773,160,187,893,
549,047,591,471,306,550,694,815,804,331,797,397,756,903,542,473,277,203,677,
189,026,656,581,487,330,252,559,889,971,907,771,670,261,392,120,437,052,955,
450,691,894,951,311,393,721,753,794,536,077,046,858,235,749,595,685,131,487,
562,684,193,989,860,208,311,045,843,526,564,045,525,299,453,601,445,613,435,
544,843,048,761,968,070,943,896,768,599,573,786,301,928,254,321,729,168,762,
329,685,490,953,625,507,386,105,321,513,076,472,310,255,599,905,454,788,711,
907,129,043,411,983,400,062,621,337,137,185,473,592,993,903,105,571,000,046,
502,925,315,146,746,332,218,365,859,633,774,394,494,885,883,410,715,511,928,
997,553,571,285,613,767,569,738,565,735,881,537,652,984,183,036,456,611,198,
755,595,709,386,582,028,469,961,158,951,255,699,622,396,864,548,313,267,458,
669,798,325,490,481,004,091,699,275,901,615,272,481,411,572,048,183,575,658,
375,470,384,746,967,453,498,918,108,709,571,105,166,363,854,443,106,603,634,
346,005,447,219,962,260,974,538,774,293,995,826,263,502,331,737,772,796,736,
291,158,264,097,042,748,493,908,704,261,130,960,167,384,369,914,880,650,115,
880,981,934,241,781,359,446,405,290,052,907,978,225,711,288,854,168,675,208,
238,567,450,848,927,160,813,517,269,160,033,038,324,408,200,631,213,442,543,
788,200,190,386,797,145,646,120,280,219,231,532,760,850,867,975,676,209,105,
773,619,706,982,317,788,248,414,411,252,893,200,596,031,465,380,694,166,246,
821,537,782,242,621,472,337,037,988,834,847,031,396,701,612,204,526,040,754,
731,473,406,034,575,892,328,003,113,504,274,010,861,897,463,823,341,746,189,
843,827,172,874,311,425,518,868,591,698,479,981,218,371,692,983,880,067,237,
894,676,909,019,425,894,840,607,458,833,860,129,798,648,942,603,187,433,991,
792,656,684,516,556,383,128,083,667,759,248,426,760,056,506,677,249,785,206,
790,772,782,126,629,140,788,968,855,453,870,786,152,362,419,438,860,904,968,
504,186,695,411,983,697,767,101,435,064,109,205,096,602,582,832,844,932,317,
252,128,946,786,614,741,008,808,968,673,181,346,135,233,722,891,913,199,501,
441,983,999,881,398,608,643,523,836,360,405,855,506,230,953,707,274,354,896,
094,141,236,610,677,671,701,874,432,895,045,306,265,334,756,704,883,768,040,
574,466,640,504,194,019,646,776,904,226,568,385,318,621,564,927,620,294,884,
923,693,945,771,865,438,461,204,189,179,017,507,933,340,401,778,995,109,015,
457,071,737,368,487,144,492,610,894,921,967,445,571,050,684,407,686,360,694,
105,896,485,358,472,359,023,519,015,800,792,327,244,418,738,263,219,664,068,
155,171,413,723,182,943,512,531,119,066,244,597,354,554,373,713,824,273,234,
761,730,308,303,332,641,506,373,692,174,644,818,710,885,212,295,439,724,051,
129,332,345,894,211,056,434,628,319,529,506,281,780,421,229,164,733,545,182,
274,636,511,111,829,474,582,314,722,453,110,779,771,514,279,515,079,270,554,
766,575,591,371,269,120,523,312,891,652,459,024,601,597,230,367,310,047,142,
440,009,284,233,896,661,169,010,355,666,143,173,978,487,034,545,319,170,318,
763,016,790,026,322,904,229,179,097,832,933,033,512,729,957,122,842,514,466,
790,955,821,009,836,403,136,659,142,918,265,448,330,384,191,771,456,585,577,
322,470,366,771,028,284,905,297,270,668,339,818,991,553,158,993,718,087,668,
962,918,673,920,526,447,564,020,902,428,273,330,328,767,248,384,036,685,026,
218,646,283,863,979,373,147,583,936,364,859,225,837,589,759,200,648,745,224,
530,454,361,512,135,070,342,582,629,111,484,223,103,456,257,750,036,772,069,
876,742,469,452,621,583,029,310,880,240,482,824,876,231,015,488,000,181,707,
361,804,944,066,053,659,765,043,935,518,277,840,232,879,228,823,168,472,773,
869,644,169,416,975,493,888,756,218,332,212,465,595,653,341,396,611,693,365,
511,999,514,643,944,268,085,258,136,158,214,614,530,016,969,064,739,715,554,
896,558,219,204,420,200,060,050,829,767,937,535,932,553,449,948,257,766,993,
478,431,979,623,138,777,616,585,973,314,189,806,347,930,685,130,054,126,880,
515,353,829,986,388,344,128,716,574,826,475,293,539,008,539,827,653,203,196,
824,852,062,246,853,706,516,258,690,844,976,309,774,406,021,831,517,195,578,
146,040,079,894,909,160,390,860,831,782,035,715,094,297,949,030,450,933,989,
395,902,299,900,909,995,899,029,343,280,220,072,844,240,116,275,818,426,624,
119,130,836,841,900,227,834,619,392,770,955,758,807,435,129,742,609,413,584,
253,091,929,066,211,453,209,031,017,722,863,942,409,983,798,667,438,918,856,
231,342,918,462,180,479,796,308,584,200,880,183,840,581,874,225,871,534,533,
311,193,061,733,224,377,611,876,428,841,946,873,528,622,440,074,264,291,239,
723,211,438,257,102,469,415,844,180,959,654,380,679,680,063,203,545,928,995,
941,353,698,990,652,474,658,869,066,465,178,323,944,260,492,552,932,172,812,
368,821,560,416,123,008,832,536,911,067,819,712,729,032,185,570,023,553,085,
329,418,844,339,790,032,425,044,918,531,945,417,446,167,754,559,925,728,152,
288,772,746,088,297,248,541,314,057,951,892,059,636,177,256,036,246,692,329,
703,489,767,716,205,876,613,650,518,282,231,243,259,405,269,451,637,566,405,
152,335,817,169,992,849,715,127,100,141,613,347,634,290,443,063,222,279,651,
229,553,423,260,579,976,697,466,245,977,254,125,385,344,273,796,833,972,497,
614,004,106,462,450,499,354,117,428,069,771,814,684,843,026,829,456,375,384,
177,208,197,235,332,442,996,666,949,574,469,374,509,493,154,790,534,534,603,
675,376,679,102,142,804,546,178,345,337,032,828,759,701,890,621,614,214,895,
831,986,932,379,448,614,619,581,444,375,225,863,357,265,324,278,098,964,019,
625,396,354,787,986,299,750,921,780,887,673,431,990,070,572,514,375,856,342,
756,455,697,797,674,793,224,175,509,388,181,458,439,385,329,372,421,422,678,
069,424,893,629,875,810,494,234,123,512,186,338,385,262,619,835,188,231,803,
631,242,232,804,293,839,412,012,486,930,929,067,418,029,622,372,653,468,783,
853,622,621,234,299,352,067,433,754,966,868,597,677,153,008,352,444,739,190,
717,256,481,529,701,639,559,010,669,555,208,433,282,157,145,348,533,361,818,
441,930,517,111,278,182,918,800,711,559,140,942,094,025,552,015,622,173,294,
322,650,296,052,498,886,937,086,658,116,388,070,676,952,057,296,137,526,649,
878,952,011,806,485,522,098,874,773,566,763,567,994,422,201,679,511,923,367,
332,155,705,527,996,645,353,396,423,827,187,117,931,915,604,318,907,726,344,
124,796,549,535,414,768,216,073,025,891,060,391,764,106,500,269,503,350,950,
717,062,618,866,553,724,833,618,152,153,174,755,710,320,030,807,513,585,767,
689,251,497,094,629,419,093,481,392,175,626,339,736,976,298,605,707,661,610,
032,198,109,456,433,668,542,719,099,665,730,323,860,850,178,782,758,114,840,
964,527,051,229,690,290,663,506,274,238,474,049,352,288,639,446,795,845,884,
245,009,536,497,043,853,443,454,521,424,969,897,076,690,166,301,111,464,103,
347,756,525,356,305,616,728,056,391,408,135,649,842,739,882,705,655,244,446,
198,940,484,604,245,185,484,769,588,698,898,927,824,398,718,568,519,248,542,
196,520,913,406,916,678,782,195,237,129,535,106,290,854,270,862,827,693,453,
651,206,924,722,556,785,497,621,548,358,737,551,648,985,572,034,258,814,127,
334,564,608,056,825,051,715,142,291,183,754,638,190,031,801,706,826,021,962,
104,554,964,678,951,424,306,260,674,347,341,744,507,791,591,309,261,977,974,
442,956,069,154,082,341,115,159,543,464,086,811,078,074,221,309,601,513,927,
311,256,718,326,431,404,264,107,770,290,973,785,062,557,713,712,528,262,779,
170,766,121,990,267,689,365,145,467,831,518,112,323,693,479,660,698,657,057,
754,987,273,820,479,034,544,073,641,167,504,987,542,187,042,244,194,665,028,
897,880,493,532,394,345,148,732,783,129,443,387,714,854,838,963,467,126,666,
648,681,400,280,924,441,188,391,738,735,845,106,114,561,486,109,695,518,570,
781,824,759,410,336,057,895,138,582,758,198,070,175,840,898,277,806,143,897,
284,038,742,416,237,068,322,848,961,224,106,516,418,124,140,324,823,726,126,
520,788,087,020,992,734,719,224,030,394,347,527,185,085,831,366,902,763,791,
079,642,863,109,796,737,106,984,493,922,872,046,531,434,766,706,482,040,986,
046,527,607,802,894,157,901,828,434,157,730,521,628,049,542,594,660,584,749,
026,683,850,220,224,349,795,513,542,593,379,293,702,993,764,563,095,627,897,
961,634,178,097,848,351,994,290,722,298,252,617,991,690,969,332,524,212,856,
793,911,862,111,932,427,769,651,145,662,315,464,817,405,487,103,067,671,850,
867,975,856,887,549,421,401,315,624,166,682,194,877,146,051,342,061,828,098,
705,316,638,056,520,706,685,871,830,545,511,778,630,826,652,947,424,643,584,
265,612,574,683,278,605,972,831,344,858,529,884,675,020,865,840,577,729,154,
361,074,561,712,560,367,948,520,417,210,081,775,664,049,195,384,670,769,391,
442,393,513,623,531,723,634,819,312,795,310,053,458,660,172,324,023,326,217,
697,575,420,780,504,118,439,657,541,622,954,679,484,229,285,594,667,678,209,
035,299,615,267,775,984,376,489,645,278,668,740,716,541,736,260,138,125,323,
215,892,986,102,924,671,820,708,915,957,604,304,288,808,447,170,154,831,449,
399,199,829,364,830,025,286,946,962,743,752,798,735,638,721,740,887,968,456,
824,788,312,922,815,464,896,964,659,138,610,723,117,613,653,852,980,136,713,
990,726,650,292,871,192,773,701,770,484,153,852,627,438,052,535,191,867,938,
224,068,303,365,810,167,877,667,630,580,866,145,015,183,768,203,113,494,587,
988,301,274,212,426,646,550,778,949,291,748,208,359,596,373,942,109,296,942,
923,945,236,654,946,072,632,540,077,242,943,093,238,378,382,386,491,698,184,
072,947,865,649,466,349,765,140,700,509,407,407,880,787,049,225,642,958,060,
843,226,767,579,521,061,052,517,294,848,549,221,448,738,087,295,357,264,718,
483,457,040,128,267,599,865,873,609,093,034,198,802,723,661,456,241,933,642,
555,277,549,501,757,097,517,413,141,701,943,978,187,083,064,382,368,555,889,
244,943,803,492,920,367,118,390,371,357,664,696,823,726,466,083,056,912,814,
035,739,688,760,913,230,019,770,974,980,025,619,004,226,612,670,623,852,473,
112,006,580,295,164,111,800,681,342,412,631,906,044,165,333,037,438,392,251,
408,041,089,758,663,884,346,337,447,492,172,171,336,994,160,089,951,794,643,
703,782,478,074,083,283,693,658,865,803,809,448,421,328,317,480,856,145,717,
281,149,784,047,567,649,179,875,703,547,310,329,350,498,085,830,562,403,636,
627,995,945,110,732,965,913,667,000,948,853,451,020,338,688,892,368,194,340,
678,216,981,335,652,265,861,019,812,074,354,312,903,355,294,333,164,683,426,
511,267,179,723,838,048,246,944,212,307,335,741,021,344,226,365,049,626,022,
980,780,850,463,100,864,655,231,659,423,817,168,642,993,422,927,363,229,753,
346,075,725,491,078,535,323,022,400,290,654,575,727,792,282,949,964,441,393,
551,253,736,737,452,602,955,813,899,649,534,933,028,804,682,368,260,765,428,
612,367,284,409,464,739,162,157,752,848,026,145,641,846,152,009,929,927,895,
297,544,295,252,702,367,670,907,007,084,576,184,460,941,041,294,870,407,593,
760,836,455,277,451,040,202,126,373,860,727,240,446,246,296,150,775,842,758,
134,301,896,056,120,608,690,334,022,661,293,767,707,380,699,185,353,142,309,
808,751,718,003,216,785,697,515,354,509,609,131,725,768,446,180,918,592,883,
496,064,229,619,190,327,121,292,356,742,432,712,466,879,328,485,284,628,158,
145,576,585,615,808,585,580,396,722,879,708,804,789,302,313,768,988,738,163,
166,577,125,912,368,842,752,543,275,577,999,878,349,710,779,023,257,968,718,
196,097,007,103,001,583,982,285,093,056,898,116,429,862,247,518,989,781,132,
880,734,373,446,443,304,873,023,633,914,226,993,797,739,240,087,436,997,452,
099,324,311,239,675,096,364,086,452,834,869,599,953,413,431,885,413,967,550,
978,650,021,613,397,886,193,717,135,134,880,887,462,549,601,911,943,498,612,
691,444,370,468,261,149,464,454,038,709,010,319,680,416,359,740,187,418,503,
982,937,444,215,422,754,257,200,172,781,195,350,315,207,587,163,420,851,507,
734,872,294,830,005,949,129,622,211,976,269,492,947,981,239,230,234,729,070,
317,797,177,204,176,144,580,853,202,026,238,050,177,077,256,667,690,252,145,
834,272,796,281,436,341,400,731,851,605,676,978,165,507,863,159,857,476,213,
875,261,810,094,464,937,045,276,550,529,923,209,155,785,239,122,916,669,812,
061,187,261,976,269,986,382,127,229,766,266,987,757,773,862,534,147,647,848,
895,050,587,117,937,852,230,176,595,759,742,094,989,323,965,558,711,645,439,
730,433,215,461,065,928,062,398,572,604,575,039,144,647,628,862,853,351,976,
778,409,623,267,763,964,980,615,293,577,706,797,158,706,842,165,917,119,067,
129,102,686,129,989,989,229,962,144,370,360,114,770,702,070,785,754,127,263,
048,595,160,308,548,505,217,721,247,446,086,060,978,349,923,930,465,751,145,
959,787,111,304,172,626,867,915,311,339,321,635,083,958,356,363,554,503,815,
832,811,250,144,055,544,267,168,492,083,804,630,489,858,204,980,679,501,007,
970,818,364,185,073,170,832,162,584,538,318,972,755,321,817,740,500,337,725,
160,426,311,921,914,689,777,948,580,282,856,635,073,163,326,201,244,296,266,
239,133,622,393,630,427,712,550,955,184,428,899,924,532,999,392,350,024,883,
644,733,048,279,822,968,677,995,421,137,467,045,912,659,125,231,127,479,929,
784,436,639,842,485,260,352,993,448,906,971,359,099,753,803,115,366,087,563,
736,238,937,556,814,171,328,976,717,810,901,385,585,654,196,387,833,715,407,
143,987,953,321,220,783,208,674,417,347,969,270,220,522,843,990,112,617,196,
408,894,705,591,523,550,231,510,550,384,665,177,998,245,072,466,811,805,069,
592,168,135,515,826,268,449,938,873,082,009,450,502,884,554,361,690,251,943,
995,390,171,025,726,298,465,332,112,033,321,880,131,916,084,389,182,417,553,
896,608,352,470,244,836,974,793,709,383,043,001,685,815,912,280,414,893,426,
089,008,011,914,965,450,606,613,424,802,769,119,399,123,150,485,018,320,929,
755,766,793,166,008,584,532,082,802,286,293,739,310,851,742,605,290,674,811,
008,158,515,638,109,825,073,518,009,101,615,766,947,446,612,842,693,852,820,
431,220,077,980,859,411,096,317,183,567,056,567,526,562,367,622,349,764,296,
320,829,200,688,008,553,083,738,800,749,464,088,033,448,051,600,911,670,215,
119,408,618,664,977,401,720,357,132,559,776,053,674,918,587,947,597,087,543,
683,981,379,393,666,252,410,059,968,465,738,062,919,043,282,188,585,605,406,
153,038,016,715,865,471,345,674,879,971,412,345,612,787,285,694,524,043,738,
350,335,046,341,817,858,230,056,968,695,136,598,169,396,396,031,960,266,538,
363,870,196,801,730,972,643,214,461,147,932,062,479,136,543,318,210,415,759,
339,389,172,134,033,596,539,827,683,096,638,292,530,647,712,232,122,647,048,
644,991,790,171,778,441,224,693,710,160,313,869,477,158,607,214,507,627,673,
031,696,004,367,890,890,809,002,963,871,359,888,604,484,687,244,508,619,026,
057,512,908,698,824,394,883,768,714,604,031,614,379,444,671,896,050,820,875,
516,148,947,164,423,894,872,909,991,295,424,938,478,212,147,667,431,812,188,
867,955,411,430,749,527,919,018,797,796,092,285,776,765,971,769,271,666,999,
327,485,614,936,121,711,983,192,335,496,800,155,525,555,252,394,056,459,797,
650,978,965,454,586,254,730,242,463,420,352,334,292,298,767,324,628,640,998,
093,303,710,295,662,020,117,439,581,607,541,411,071,215,895,009,850,781,852,
779,527,293,989,331,161,663,409,555,657,817,230,703,221,475,316,010,582,385,
161,934,206,624,145,718,406,249,093,586,427,206,212,580,262,222,507,199,662,
535,092,042,571,242,666,713,933,172,530,938,233,656,066,766,170,022,400,778,
867,198,346,586,692,954,307,379,169,653,790,828,577,905,224,720,660,825,739,
772,867,629,996,553,642,705,408,656,410,764,193,419,866,555,360,676,190,113,
288,352,199,916,784,070,382,137,796,673,219,658,589,853,510,044,399,280,783,
868,116,929,649,136,590,627,038,570,882,632,120,422,032,355,264,276,556,219,
770,256,192,465,635,664,822,366,782,445,219,623,730,740,285,566,697,719,008,
733,589,137,782,818,814,834,549,443,224,219,593,201,674,799,152,830,421,171,
199,024,434,042,745,546,838,367,701,547,666,732,405,895,864,604,830,015,750,
570,965,483,618,451,944,683,411,375,149,763,906,088,716,789,479,369,334,639,
797,575,318,692,856,360,782,858,559,942,775,063,929,629,655,490,908,721,020,
614,368,615,612,214,030,986,232,585,864,504,601,329,180,085,809,357,206,562,
253,549,954,537,750,889,800,487,315,207,071,856,424,092,442,554,650,860,253,
666,084,240,781,877,825,984,608,881,595,976,626,676,625,760,338,909,211,979,
339,857,310,255,338,900,176,521,153,124,906,824,729,795,225,897,354,280,282,
291,793,392,426,750,000,991,872,343,977,191,018,773,014,433,390,818,745,774,
925,274,897,323,590,529,275,462,325,690,482,823,644,862,867,154,931,572,323,
155,558,387,686,508,233,281,553,587,904,042,910,818,843,382,429,019,289,938,
805,093,601,166,049,137,221,756,547,528,468,719,274,215,551,098,633,704,355,
482,639,335,622,039,692,119,960,293,372,788,857,331,076,633,441,445,693,300,
609,522,120,062,954,876,197,017,523,020,306,458,410,358,968,333,669,750,553,
925,399,447,278,725,095,600,448,217,139,268,000,484,430,504,585,539,276,334,
659,332,170,246,455,155,802,003,455,288,790,060,891,705,069,097,509,023,713,
167,509,031,750,735,852,085,044,095,889,587,837,628,061,582,049,439,397,826,
610,287,476,535,121,544,542,472,248,584,370,320,543,855,815,070,138,405,655,
865,070,778,118,832,223,041,503,222,957,674,332,618,076,755,691,252,269,282,
765,588,970,786,299,953,991,771,794,966,669,537,235,383,573,061,347,635,966,
354,878,980,956,799,228,377,334,300,480,439,374,764,280,825,615,710,676,036,
172,038,758,530,130,890,351,754,062,940,331,291,526,825,834,916,105,478,809,
283,010,666,684,187,383,519,050,083,946,438,324,171,886,086,906,859,609,369,
207,720,157,086,464,924,096,402,348,219,125,909,366,392,091,952,798,135,837,
959,499,241,230,952,753,678,422,541,897,731,796,224,450,780,783,868,617,428,
855,098,257,442,409,748,976,784,206,672,802,951,946,844,748,452,768,651,265,
286,346,881,426,301,958,024,309,168,921,368,788,955,653,553,107,242,377,804,
092,080,441,601,106,919,570,409,223,743,629,387,179,795,139,509,437,884,507,
809,845,710,717,707,138,510,176,193,769,976,319,835,409,206,763,826,644,651,
420,893,098,073,350,139,174,631,717,515,775,432,533,396,801,291,831,775,803,
079,374,976,896,798,645,404,110,925,290,293,284,269,093,543,434,138,429,951,
875,346,192,640,015,539,802,889,545,390,294,218,390,149,333,077,791,702,201,
447,122,742,613,191,928,633,544,908,647,286,140,120,380,362,116,147,516,892,
982,297,810,132,629,672,196,300,582,858,394,953,299,145,212,940,631,759,513,
704,785,231,543,677,720,681,486,852,240,873,885,386,923,390,363,426,143,868,
154,122,230,622,027,942,441,920,269,656,834,866,225,407,022,083,721,838,741,
335,459,749,613,214,414,833,067,954,902,318,600,134,276,094,471,652,834,377,
480,623,663,387,866,791,162,577,623,216,141,819,965,829,451,644,572,450,500,
532,780,536,375,851,021,596,867,885,433,511,140,583,050,979,446,461,026,210,
404,653,059,037,708,082,743,002,696,165,164,896,188,794,406,820,780,727,513,
125,694,489,942,393,893,276,194,850,156,369,771,891,153,897,877,875,982,853,
809,613,993,966,896,269,899,490,045,058,891,482,750,956,275,070,003,462,412,
606,435,230,739,509,504,124,280,767,414,692,341,307,640,285,492,619,098,195,
779,180,710,940,986,622,400,818,585,881,127,165,380,011,085,975,879,889,031,
635,940,901,199,668,526,907,953,469,238,141,386,354,718,289,510,612,923,252,
083,294,813,271,669,479,253,031,572,676,672,855,466,023,283,711,523,445,656,
898,471,668,216,489,250,059,994,260,567,547,784,657,541,961,426,737,191,346,
074,403,892,484,856,062,329,508,761,184,176,430,353,572,769,238,399,813,767,
784,884,006,798,952,537,949,331,301,236,787,304,409,122,901,496,037,959,558,
955,840,944,856,671,075,305,936,298,614,639,599,258,107,544,066,606,280,816,
065,434,500,546,098,191,971,689,304,517,346,104,725,244,970,823,447,881,769,
452,934,803,540,277,822,812,940,010,466,818,026,404,941,539,718,742,290,273,
045,527,523,556,121,679,128,841,936,800,119,879,890,876,051,816,203,052,074,
670,366,330,511,978,200,768,712,581,653,834,094,270,161,289,378,339,865,052,
462,587,013,359,476,265,313,580,458,734,884,805,981,067,859,508,344,664,504,
265,200,243,557,846,396,345,655,328,505,110,582,040,044,015,482,806,203,176,
509,609,946,033,867,685,221,224,602,568,224,226,321,062,121,085,976,298,697,
618,980,480,876,403,484,582,248,945,023,008,639,326,854,867,762,682,995,884,
400,389,466,223,771,414,942,475,068,524,673,653,507,423,957,208,149,710,528,
116,100,863,585,216,860,454,875,077,470,416,836,017,423,743,577,893,796,906,
180,787,564,591,014,189,969,339,638,552,914,505,907,786,505,309,432,018,764,
321,072,372,812,204,968,211,839,592,401,889,097,078,816,486,004,764,919,970,
452,468,632,303,363,765,865,362,240,066,835,695,968,499,386,988,322,755,090,
879,403,292,028,520,524,286,061,906,178,441,735,591,184,554,862,480,568,341,
109,678,164,747,054,305,429,684,785,265,543,892,457,393,616,711,400,357,226,
998,645,958,051,046,139,062,658,018,056,240,775,015,187,061,562,602,730,994,
867,211,294,288,236,858,168,184,677,229,648,890,169,450,427,964,824,218,043,
179,689,740,771,056,883,275,721,520,226,170,186,478,997,822,352,786,926,360,
432,424,319,438,078,725,582,653,337,243,706,316,317,782,681,403,410,431,596,
755,542,479,671,915,596,017,181,064,911,660,182,535,879,808,825,526,150,049,
822,103,939,713,923,454,469,127,566,271,080,471,164,910,533,499,459,909,571,
580,670,686,148,044,129,196,321,324,564,693,526,415,756,778,081,694,658,093,
549,239,783,689,366,347,296,536,920,167,746,820,285,322,757,073,875,161,582,
055,106,465,609,664,911,820,101,838,262,988,322,100,870,020,334,305,686,311,
607,237,069,075,664,198,264,957,059,820,016,092,465,121,033,995,485,752,281,
285,399,830,541,389,416,072,413,819,601,853,987,636,457,736,871,813,251,300,
081,482,071,078,080,951,628,089,055,464,464,355,613,590,583,187,655,592,827,
890,471,855,508,806,764,571,243,392,810,197,006,547,790,832,235,330,048,989,
165,358,879,426,473,596,053,318,852,336,152,161,086,005,445,824,072,155,999,
307,729,240,548,991,970,433,433,651,864,001,053,932,234,271,642,137,503,830,
081,083,398,004,069,283,294,688,797,410,034,652,734,237,936,014,759,429,548,
391,513,876,679,977,586,250,506,943,576,125,262,016,234,683,939,706,195,210,
715,900,546,487,333,887,470,862,406,426,216,426,726,739,378,793,949,156,211,
468,931,126,387,236,700,369,574,934,507,449,447,321,806,072,207,448,421,454,
253,127,635,751,623,156,405,731,210,789,314,373,117,415,937,262,790,271,079,
014,166,170,877,257,330,586,326,567,890,895,155,419,558,680,557,132,193,517,
001,075,618,225,134,814,140,968,506,494,125,855,414,103,589,106,089,634,904,
622,885,492,571,710,006,801,598,806,092,586,751,145,981,661,452,615,300,830,
639,030,936,002,128,021,536,448,301,693,834,907,321,513,760,789,425,563,418,
241,197,038,964,007,794,805,860,279,694,654,573,227,700,225,238,735,691,207,
279,235,771,735,637,463,786,934,914,268,725,719,929,233,001,246,569,179,000,
134,477,199,164,982,087,663,590,456,590,485,577,418,614,550,151,394,257,933,
579,993,856,503,430,413,212,156,561,812,602,821,943,990,635,206,250,103,534,
344,803,393,534,462,028,049,711,252,280,625,243,450,543,347,091,969,679,448,
791,271,075,954,507,968,858,892,895,456,002,479,441,392,716,695,534,233,509,
128,463,486,674,250,119,625,331,676,899,771,710,390,456,968,567,494,472,425,
297,135,334,598,917,921,917,029,467,372,568,251,511,402,203,265,118,265,490,
707,049,154,499,759,218,859,659,510,061,907,938,039,904,270,448,455,815,211,
777,167,042,387,673,141,981,932,448,192,947,782,666,417,129,621,189,451,572,
695,662,922,289,478,962,026,502,648,045,361,660,963,369,563,082,807,465,528,
214,491,662,000,670,133,482,777,387,501,579,435,584,705,958,383,802,912,689,
725,626,564,300,672,756,436,581,625,412,301,435,339,811,245,859,173,182,018,
500,044,791,731,356,707,209,563,950,701,741,054,793,655,236,993,104,965,393,
615,333,617,302,170,140,463,507,875,393,901,058,978,220,560,955,860,262,683,
280,840,207,113,757,225,672,378,149,466,721,984,133,930,737,551,824,254,263,
423,230,990,294,069,961,693,268,536,112,874,104,701,629,080,671,396,452,163,
777,152,393,093,839,142,711,437,602,857,061,299,222,682,180,023,234,107,557,
581,736,934,023,247,860,374,187,203,135,148,605,125,609,648,858,993,710,474,
832,296,298,647,311,192,761,196,464,064,131,803,811,772,020,614,736,059,118,
548,061,784,244,458,408,305,022,028,160,740,395,208,975,903,778,056,492,700,
379,732,281,124,428,645,223,233,823,085,304,084,937,440,700,821,477,223,001,
847,366,271,258,845,695,500,768,721,554,444,364,180,572,281,582,765,735,154,
502,613,888,100,413,462,514,226,864,906,923,783,973,336,144,082,703,022,684,
315,029,750,052,495,189,986,182,038,558,765,370,423,205,298,928,647,392,686,
014,234,094,751,974,098,472,856,211,053,953,734,687,978,574,362,027,853,268,
879,918,177,177,578,864,718,914,736,302,981,756,878,178,430,724,523,822,527,
471,356,517,829,481,937,294,290,415,401,142,963,231,807,755,058,007,752,909,
254,177,687,977,989,683,137,972,070,679,301,371,477,729,438,052,959,896,880,
092,633,808,860,965,569,737,875,302,906,064,260,111,468,272,628,465,222,157,
034,373,108,994,448,904,638,825,197,082,719,135,038,356,213,462,745,698,815,
774,276,997,341,247,540,427,699,937,069,424,803,453,275,718,589,079,978,178,
074,095,570,301,836,736,101,960,097,811,315,597,169,318,359,645,179,823,538,
876,021,238,670,858,554,720,826,371,146,465,750,144,769,939,403,628,651,777,
867,632,678,357,175,062,761,796,286,414,743,431,635,434,582,090,691,073,203,
164,885,830,637,428,458,190,056,489,395,958,678,023,526,222,714,834,993,937,
089,363,028,246,844,270,925,195,277,161,488,600,581,210,684,393,169,103,036,
922,890,745,328,944,395,462,803,762,231,220,058,445,819,466,002,332,242,079,
772,858,994,024,290,686,622,971,251,177,266,697,195,013,736,987,137,603,189,
991,267,403,938,086,094,380,135,291,445,387,870,050,992,251,039,653,336,472,
666,022,877,107,544,672,752,369,464,766,214,714,040,795,524,483,497,591,616,
962,229,217,667,259,751,095,503,692,184,869,541,972,401,272,762,620,749,891,
408,955,864,169,344,060,318,095,429,019,206,680,564,998,435,317,373,477,872,
072,785,078,769,917,641,733,500,006,514,376,232,597,890,118,406,737,264,339,
659,246,752,813,117,585,244,167,551,490,154,997,561,867,441,637,045,816,302,
523,771,260,132,753,277,128,511,506,164,731,473,005,021,615,060,734,282,726,
068,257,150,139,513,650,084,945,313,805,870,906,790,731,092,499,454,935,188,
954,014,666,940,100,676,207,910,813,022,449,105,422,433,900,190,777,857,166,
553,244,509,908,539,145,388,134,863,491,048,379,609,909,841,597,421,670,318,
244,820,661,773,243,595,940,043,873,248,980,823,708,510,329,961,271,303,510,
204,642,054,596,732,442,303,709,440,010,904,915,578,583,803,648,952,431,457,
457,969,475,943,085,813,111,225,682,995,190,705,273,364,171,526,360,298,548,
262,160,847,733,659,862,282,928,102,490,805,260,751,425,888,054,849,109,208,
313,763,179,867,301,438,428,658,619,403,375,814,757,691,068,807,922,037,678,
043,086,050,697,905,962,971,074,512,187,817,640,790,587,367,806,607,316,010,
911,853,568,103,795,916,062,634,457,615,124,818,002,743,860,131,012,396,550,
975,806,078,398,701,620,374,074,562,439,047,364,159,278,804,313,465,435,764,
803,406,108,706,481,978,873,682,933,229,311,582,693,252,519,575,222,961,024,
835,476,740,051,307,846,562,008,039,990,205,825,900,480,248,443,472,688,454,
023,955,730,620,915,576,719,040,035,243,275,241,214,095,412,142,368,303,861,
769,273,166,559,065,944,583,832,352,462,166,232,687,357,100,989,496,716,322,
388,723,594,653,080,965,547,291,480,600,126,436,545,901,251,688,596,321,774,
892,549,875,730,215,227,322,427,417,127,342,526,539,743,385,500,856,664,948,
308,674,404,114,281,786,768,241,428,345,308,080,401,949,091,771,930,769,329,
374,782,541,459,414,475,575,600,777,502,563,151,445,414,038,604,583,407,399,
849,324,513,564,592,530,798,374,344,185,893,764,883,134,105,154,749,710,943,
227,084,056,838,037,991,732,788,794,776,511,945,602,987,953,529,128,931,399,
699,426,589,003,218,154,516,092,277,967,606,392,679,066,296,363,427,295,462,
789,128,782,798,512,404,067,105,867,065,440,085,616,828,755,737,993,894,773,
389,202,069,077,158,391,985,134,172,321,316,810,352,379,480,982,480,352,392,
362,935,761,510,941,588,691,090,990,550,609,269,355,100,900,821,934,342,873,
580,200,219,635,560,871,138,504,311,165,452,180,155,865,919,638,467,127,294,
399,856,772,519,107,158,804,711,931,612,220,059,359,851,633,457,916,981,354,
040,437,668,449,538,212,108,897,823,646,743,464,820,991,083,558,200,992,001,
751,491,806,299,789,757,169,709,415,870,398,659,092,640,254,079,751,623,880,
047,790,454,051,063,589,192,581,996,509,991,088,975,883,592,927,236,662,161,
810,630,003,846,276,788,056,093,959,841,450,740,028,472,553,442,384,544,490,
411,554,681,846,954,370,454,342,184,660,915,746,612,647,763,962,683,483,178,
854,971,944,557,240,299,869,753,548,366,682,425,522,811,565,825,805,022,581,
153,129,164,375,009,151,197,804,762,558,031,729,573,769,615,621,084,387,583,
363,387,075,118,108,425,319,770,777,945,123,801,054,400,013,681,847,109,307,
046,893,059,688,506,504,499,118,323,537,198,783,939,120,755,745,018,886,036,
178,615,758,761,445,696,484,003,511,797,115,714,235,169,506,646,839,801,558,
869,857,602,541,853,838,897,975,125,240,463,260,637,966,000,430,991,405,435,
794,103,659,089,719,519,285,160,122,457,097,770,333,190,715,548,392,494,999,
930,400,297,712,519,891,686,423,158,516,477,888,790,843,320,763,419,174,450,
841,758,591,257,126,961,198,811,071,566,832,822,280,885,204,133,578,393,745,
279,107,799,159,222,727,295,469,397,417,184,682,533,027,392,190,226,542,691,
865,955,030,833,105,111,746,762,892,260,286,709,605,589,029,560,193,018,317,
622,795,631,493,564,941,745,073,086,413,993,967,782,415,556,144,186,170,089,
941,864,287,402,200,680,062,715,621,541,889,157,570,714,284,394,725,466,476,
880,485,446,884,230,168,994,652,755,514,336,553,075,294,775,461,502,620,365,
975,262,472,744,238,343,105,140,745,451,698,464,216,263,393,721,078,634,564,
206,202,236,502,554,388,923,165,356,676,260,430,601,418,303,735,284,547,025,
018,853,283,231,023,250,079,756,692,525,445,913,866,494,527,060,992,042,451,
418,858,016,169,146,177,384,297,396,530,800,858,896,723,086,466,268,840,399,
113,810,403,922,559,399,038,892,652,238,670,187,210,689,652,710,098,208,709,
200,378,200,933,306,939,738,492,676,738,446,883,115,895,558,151,552,350,679,
966,739,485,757,728,206,862,557,165,963,850,473,155,043,227,190,598,497,408,
232,845,359,770,026,932,923,231,549,050,319,243,560,670,829,689,566,725,453,
903,375,715,251,253,620,835,310,947,323,236,358,976,576,347,066,668,204,017,
003,075,476,821,099,687,880,755,222,913,066,948,169,342,377,429,094,013,477,
578,458,757,572,483,335,852,169,752,324,525,237,019,285,649,681,675,707,997,
355,883,570,152,277,369,831,003,965,454,633,118,851,056,270,583,874,449,334,
366,635,207,920,106,680,853,896,935,282,773,340,741,508,564,800,207,778,709,
859,315,807,024,350,606,815,720,124,658,660,152,998,608,532,866,213,915,841,
634,641,447,259,377,914,786,817,463,087,224,045,334,582,733,085,389,623,401,
741,830,782,084,245,842,745,691,344,683,768,243,769,716,313,072,176,002,764,
708,055,733,074,574,253,255,272,539,423,284,732,832,546,365,465,183,451,700,
811,939,272,881,982,071,151,055,315,814,216,776,670,547,130,699,670,100,966,
050,406,125,953,002,319,704,240,353,647,873,465,416,321,411,080,004,271,410,
381,523,797,420,695,312,693,594,305,785,855,128,752,223,446,548,774,160,440,
730,924,332,083,750,666,304,549,295,160,272,488,352,668,108,664,616,462,445,
439,912,002,092,305,326,156,784,842,419,629,608,431,322,023,495,470,096,300,
509,078,786,863,099,874,363,094,604,179,829,725,305,067,321,923,882,267,115,
727,376,873,451,588,783,515,050,451,527,245,306,539,281,876,973,899,250,164,
271,595,300,272,977,961,745,021,807,712,707,953,163,086,406,869,478,810,701,
840,291,428,002,042,048,450,774,612,664,475,459,135,511,767,751,426,391,248,
119,754,153,200,028,668,488,687,113,785,017,694,447,146,359,150,812,554,221,
356,964,014,522,159,169,052,782,512,524,311,361,580,641,126,294,709,424,734,
465,099,405,070,474,106,110,482,904,376,222,383,809,367,870,271,499,250,401,
291,022,340,450,176,995,991,903,660,772,415,917,224,600,699,557,896,807,041,
141,693,942,125,707,495,140,322,824,642,844,984,179,014,552,865,431,015,605,
068,083,630,651,098,732,673,066,113,548,927,590,997,279,276,615,460,563,518,
840,288,822,985,178,779,183,331,318,769,138,536,310,586,867,782,765,500,312,
640,880,953,295,621,431,778,584,662,268,068,676,851,087,738,963,092,423,084,
278,577,866,936,133,401,423,197,598,641,966,136,320,075,040,789,621,180,398,
987,167,604,177,669,328,347,905,403,269,933,669,716,923,332,829,886,886,877,
180,756,525,737,064,855,813,378,849,961,144,113,616,132,781,429,347,516,201,
798,720,851,030,051,468,299,434,555,439,933,948,274,299,163,572,382,833,243,
921,916,311,057,074,122,957,139,368,975,621,382,291,896,858,162,027,128,895,
659,444,433,184,667,371,130,071,877,873,287,523,465,724,526,260,942,941,159,
776,107,748,337,107,141,041,256,273,332,655,926,879,646,660,492,380,112,770,
118,972,637,217,137,808,955,884,972,712,429,365,671,867,864,702,491,494,062,
055,805,933,348,894,949,391,341,352,416,565,178,668,866,819,789,358,939,947,
751,121,316,928,436,047,441,342,687,034,838,457,262,612,564,205,455,325,796,
094,840,586,264,142,265,979,256,342,770,984,679,280,635,292,655,641,981,852,
974,939,508,100,629,269,285,843,301,191,838,790,519,976,272,980,580,253,838,
283,989,274,481,060,824,186,033,937,794,833,522,342,013,182,614,533,589,837,
184,262,344,772,573,200,182,861,801,300,406,050,558,976,235,346,051,535,774,
163,176,604,530,505,046,449,158,491,335,444,111,476,877,100,655,677,157,016,
789,670,290,276,572,642,063,349,626,209,848,977,059,888,421,129,373,295,575,
241,816,324,978,313,674,099,830,850,629,810,123,929,599,999,001,366,141,408,
653,409,388,450,849,924,752,512,742,839,773,592,631,455,471,284,836,647,711,
510,809,662,266,981,332,328,665,263,239,031,206,677,236,869,520,447,272,627,
137,039,918,719,708,956,217,384,217,705,440,927,435,021,550,120,657,127,404,
209,208,994,167,358,051,923,165,354,161,320,097,465,789,427,014,011,657,772,
418,284,632,300,363,488,983,665,995,021,561,057,066,038,730,855,207,869,239,
461,936,433,243,002,800,464,234,699,258,426,530,920,336,180,011,029,917,399,
650,627,983,416,121,993,349,959,471,057,189,846,028,752,323,053,116,132,814,
491,724,652,734,761,605,501,169,519,083,004,164,505,804,917,628,790,547,414,
880,899,653,400,419,622,176,808,190,325,535,871,777,210,464,080,271,097,407,
412,228,133,214,795,124,764,757,380,997,250,091,400,867,419,860,110,574,621,
930,573,859,208,275,805,889,737,099,039,755,494,951,091,057,059,276,174,827,
292,317,638,071,570,746,366,031,680,872,969,660,697,388,926,091,464,965,213,
560,171,427,268,745,933,173,498,612,318,824,895,386,946,232,740,168,092,506,
026,632,183,619,435,939,343,440,552,364,886,003,786,352,215,271,448,378,478,
962,102,061,258,436,648,196,631,456,926,899,029,376,691,662,862,429,711,803,
181,148,979,285,186,683,267,827,497,363,910,768,150,188,571,651,326,130,331,
121,056,708,565,331,121,462,301,925,174,137,245,511,240,318,439,038,387,600,
019,317,883,916,071,324,759,622,439,613,485,835,401,339,009,887,073,049,478,
195,250,135,020,326,910,891,226,033,735,790,160,674,184,935,455,097,527,060,
902,341,025,810,614,309,122,928,978,507,843,740,907,034,919,835,410,953,628,
936,334,512,867,982,096,665,996,031,686,520,065,375,087,912,798,864,564,401,
610,909,102,134,210,229,740,898,765,063,275,340,451,069,165,868,958,371,421,
931,268,422,338,529,767,562,114,426,996,728,200,039,825,388,586,181,753,259,
824,208,563,021,146,908,742,526,890,435,493,274,189,767,072,779,353,074,754,
166,549,165,786,029,668,944,814,870,008,284,524,443,127,891,244,699,066,916,
648,702,439,906,590,530,369,115,837,265,791,845,645,353,310,712,303,725,220,
760,728,962,599,089,737,767,974,653,575,125,357,025,641,263,493,545,881,763,
617,478,925,028,199,791,128,225,496,383,492,585,092,927,153,570,604,258,664,
081,164,291,780,720,059,646,993,417,265,363,411,816,691,046,432,536,814,151,
219,019,811,264,873,235,185,184,482,454,700,156,498,354,713,468,670,492,992,
451,740,848,370,905,225,781,160,571,115,741,520,766,418,222,545,537,778,362,
660,012,455,401,781,292,684,575,171,961,293,934,513,982,524,969,354,022,320,
700,676,757,776,874,037,401,431,575,204,538,119,696,101,083,541,594,531,309,
150,538,029,268,676,639,481,844,107,101,157,237,031,718,261,828,538,285,151,
914,065,413,062,380,877,681,549,066,431,076,986,757,053,264,876,853,595,990,
713,120,620,577,775,386,582,492,574,158,063,850,012,897,582,601,280,273,722,
791,491,093,398,676,518,997,275,880,036,096,792,636,468,352,350,435,045,471,
885,458,620,115,846,339,933,425,711,070,863,376,044,060,539,786,280,107,257,
550,014,869,486,770,496,410,427,311,199,994,708,097,008,174,862,852,860,421,
971,628,891,742,091,842,376,239,008,921,903,561,499,197,306,381,363,773,051,
535,962,299,933,140,963,043,602,293,897,730,807,402,287,091,477,377,025,726,
076,128,487,669,336,564,249,996,198,878,187,883,830,021,071,646,893,693,913,
612,623,442,553,672,696,645,951,738,823,141,317,862,068,696,140,428,695,430,
828,352,532,093,450,334,115,295,261,063,035,592,575,103,286,616,705,319,431,
293,517,570,144,802,461,142,519,178,466,153,867,377,114,656,003,131,903,418,
541,489,231,931,300,920,178,210,708,753,833,658,317,284,085,114,121,953,905,
825,631,064,126,139,974,531,841,269,415,868,355,255,562,517,606,851,774,818,
741,479,268,045,331,644,960,235,301,115,744,911,868,395,933,978,658,493,449,
020,804,261,891,284,349,792,704,770,812,696,934,659,884,294,978,745,732,637,
120,687,108,333,801,240,262,094,126,144,801,614,636,093,912,663,850,128,386,
874,408,669,982,969,352,870,390,188,565,255,538,512,897,849,970,881,590,250,
694,837,335,150,027,189,978,186,485,974,378,685,123,875,675,734,597,566,998,
317,798,184,799,984,377,305,490,702,635,088,451,956,431,732,431,138,586,445,
509,788,608,784,375,821,858,390,740,674,618,977,264,500,016,340,771,476,098,
711,676,461,920,386,519,029,152,559,327,447,152,153,879,460,866,677,682,516,
550,191,800,023,664,160,952,273,273,896,204,105,665,927,885,082,040,351,468,
300,529,962,988,143,483,206,718,580,339,313,537,641,142,871,229,116,348,253,
949,042,595,906,849,219,465,416,513,934,362,785,770,197,895,708,899,862,635,
887,915,885,264,622,398,024,073,217,572,087,642,870,683,289,172,736,932,385,
331,766,179,379,088,327,379,697,987,176,007,875,488,275,755,283,402,230,900,
277,239,056,805,310,098,742,895,183,356,067,740,559,005,251,704,396,619,315,
586,758,588,126,432,687,611,740,315,793,971,200,756,410,699,668,476,007,392,
150,635,684,281,039,884,458,816,233,632,243,859,987,056,418,308,104,665,212,
644,405,122,596,021,113,730,467,927,929,832,070,697,905,721,427,052,497,246,
669,451,062,425,010,104,052,761,275,118,440,050,540,497,652,136,967,870,699,
244,176,222,522,470,587,573,015,378,993,851,990,450,161,030,859,730,430,709,
972,647,403,093,015,915,056,296,423,125,883,897,854,485,297,212,501,050,198,
481,185,292,521,418,878,774,565,932,448,243,282,539,743,907,879,847,979,299,
061,580,749,108,779,661,512,799,108,442,688,168,564,076,211,012,339,565,580,
330,667,373,843,501,340,918,832,622,810,914,475,166,137,986,460,395,580,718,
484,125,417,630,170,722,571,059,476,907,804,042,254,944,688,013,065,645,624,
068,829,673,932,543,102,270,589,970,641,327,280,498,320,886,610,716,601,369,
167,779,155,419,651,529,151,498,782,239,124,190,013,297,728,269,413,234,857,
240,025,813,450,879,500,787,028,965,200,988,970,677,723,488,445,172,551,208,
760,172,953,523,060,218,966,016,966,171,521,743,697,564,092,764,798,984,159,
187,156,630,059,253,197,547,907,683,532,094,953,561,581,045,267,905,261,687,
224,624,361,800,624,915,027,121,921,810,684,641,554,537,952,615,409,143,761,
833,832,286,372,309,451,788,257,193,533,079,644,029,084,714,190,893,354,973,
003,350,719,434,565,689,978,798,728,509,283,650,821,446,652,819,523,298,767,
961,181,795,139,678,682,237,570,311,076,250,774,068,198,986,305,994,330,297,
248,600,097,085,632,502,610,473,961,549,955,301,626,260,874,251,849,815,102,
536,866,002,326,982,644,020,879,772,383,755,580,460,198,630,058,083,082,800,
670,838,409,610,977,688,526,839,195,475,754,563,372,295,845,366,325,412,460,
931,643,749,702,116,634,809,727,587,668,192,034,930,931,698,479,422,323,590,
214,802,763,930,892,067,798,243,649,505,316,581,961,694,806,704,014,362,734,
887,599,922,258,926,306,903,641,682,748,454,479,412,212,096,938,263,322,299,
428,798,655,236,689,331,351,553,242,506,535,820,864,816,335,517,773,155,059,
112,158,187,830,374,499,441,687,997,998,585,723,270,947,246,921,547,088,762,
921,078,624,831,915,289,217,329,707,880,688,933,724,035,831,076,325,084,352,
035,146,468,830,813,847,837,639,937,660,637,403,693,062,042,586,726,482,280,
064,814,956,295,684,368,968,141,103,787,939,103,107,257,005,309,548,145,095,
435,152,652,925,291,824,806,550,681,770,581,134,543,504,908,617,290,842,949,
111,474,199,263,422,529,862,373,796,182,377,873,711,205,286,040,078,756,890,
771,834,284,209,459,335,037,409,634,114,014,010,900,908,804,983,578,447,653,
194,205,425,803,922,898,612,861,999,820,178,724,845,162,888,652,914,337,908,
845,474,166,069,072,320,847,718,187,682,404,878,020,284,452,500,076,237,542,
293,839,744,456,254,080,017,946,551,687,541,832,925,142,782,216,434,927,304,
763,933,317,279,157,534,840,311,788,859,106,775,469,256,245,108,868,841,278,
004,918,537,071,478,681,816,292,932,167,581,825,010,825,631,103,083,114,631,
401,570,037,615,856,435,869,353,326,590,126,710,446,720,949,167,474,557,292,
094,223,311,878,707,798,618,401,481,929,567,332,916,403,726,842,675,976,793,
523,120,559,101,688,820,885,727,166,629,357,861,570,753,936,558,872,284,997,
102,656,904,836,874,591,618,580,541,381,792,514,041,315,577,807,038,866,747,
583,659,022,667,272,654,053,956,544,921,703,291,639,623,159,854,712,041,484,
351,205,162,164,834,873,341,433,459,411,741,503,925,355,255,205,713,645,397,
354,881,653,763,878,072,102,824,280,876,994,274,034,312,588,257,793,484,128,
507,123,976,206,690,388,161,172,676,594,783,009,234,652,375,914,733,883,483,
471,267,858,139,641,427,679,191,787,800,794,843,843,419,130,311,772,637,407,
967,580,756,993,927,083,602,284,523,852,576,845,153,612,618,861,602,344,559,
165,141,544,172,791,576,166,296,080,003,081,384,462,139,235,866,464,597,536,
950,968,548,114,961,730,880,145,733,600,112,608,386,397,625,200,022,301,604,
578,109,918,940,108,156,338,168,424,552,402,829,452,183,961,003,911,788,643,
305,423,316,456,508,530,176,626,491,408,750,931,462,907,847,846,780,739,718,
303,899,244,533,269,390,332,394,191,029,438,177,747,658,723,403,294,292,126,
556,733,693,520,757,859,005,514,372,642,180,514,380,956,325,524,719,302,155,
990,089,705,696,682,409,131,552,579,957,876,136,988,671,353,405,785,880,394,
029,131,773,550,246,597,062,073,596,179,059,151,122,083,667,917,302,260,725,
735,210,989,438,258,678,200,096,282,820,830,311,450,981,304,114,437,411,470,
848,518,380,174,220,570,502,549,928,449,333,256,207,621,193,956,744,458,098,
756,222,125,531,365,308,772,051,313,600,100,795,067,900,518,845,604,438,857,
931,861,278,256,381,994,109,100,616,219,652,987,467,276,306,529,216,836,319,
711,481,447,453,070,442,361,778,975,368,141,541,131,418,438,758,050,366,072,
353,512,367,286,708,631,273,408,087,375,513,363,611,362,756,733,880,470,231,
779,929,403,621,647,287,205,380,688,928,366,286,409,854,710,096,388,653,064,
177,774,219,915,944,032,060,932,783,255,505,557,123,601,645,498,015,995,988,
876,424,184,309,175,900,726,754,049,609,094,370,931,882,769,670,619,938,947,
205,047,390,772,547,158,554,069,501,571,300,422,189,203,270,874,671,799,425,
200,079,082,221,380,556,676,036,847,450,408,246,582,449,933,933,552,496,067,
043,300,340,900,257,886,407,383,028,891,194,132,033,624,125,366,545,311,846,
708,134,921,645,380,486,343,669,110,508,651,655,916,540,919,540,804,289,924,
984,888,425,546,595,418,160,055,268,839,414,803,702,908,777,447,905,404,679,
330,395,483,804,796,128,991,490,722,123,509,943,296,881,350,755,622,080,653,
106,657,430,476,156,438,097,714,957,665,189,257,417,002,668,551,969,157,927,
690,736,673,219,600,402,838,978,224,218,502,754,597,327,413,203,181,779,418,
892,808,843,479,394,930,594,719,453,356,078,257,454,453,763,926,150,597,327,
174,972,348,201,190,980,042,884,789,026,181,450,313,309,881,649,711,122,969,
236,629,475,688,273,705,956,633,090,617,303,718,240,738,003,435,812,219,872,
435,729,053,825,937,601,563,253,543,053,267,072,827,128,985,228,314,578,857,
937,782,255,761,009,329,950,936,310,431,694,744,672,618,632,798,345,236,422,
852,198,642,618,066,463,034,539,162,122,500,100,045,136,864,486,468,949,893,
971,227,439,793,427,598,029,791,004,599,586,173,274,244,059,256,247,675,765,
760,112,979,881,302,019,676,711,540,789,601,935,570,416,063,321,791,743,393,
732,488,261,832,657,342,146,189,241,058,182,964,503,747,684,282,954,193,411,
735,426,688,012,724,355,083,400,459,857,056,973,733,001,715,218,994,541,683,
636,423,895,807,749,808,003,217,571,658,216,559,590,774,596,058,443,293,956,
649,056,601,056,342,165,341,657,940,902,392,405,616,672,008,026,518,398,900,
591,155,889,746,832,592,507,366,244,319,961,352,313,524,816,254,202,971,964,
530,825,851,443,648,205,731,757,482,901,255,435,159,963,498,085,257,312,068,
196,434,628,237,056,385,049,005,406,899,405,424,097,389,210,713,639,808,155,
248,828,646,027,803,623,597,325,870,002,555,030,536,344,698,742,750,475,860,
829,652,001,962,522,217,109,358,020,670,458,778,118,340,487,828,027,167,144,
054,454,810,641,208,272,500,299,783,547,282,518,275,617,299,321,485,388,563,
658,029,835,445,570,487,860,009,821,045,669,760,528,507,729,611,906,144,896,
509,559,841,628,680,012,662,631,032,510,335,521,764,801,212,054,120,763,469,
503,530,041,467,659,860,436,052,814,139,587,734,722,447,047,689,595,097,205,
741,473,413,101,727,533,675,574,656,523,740,350,583,124,872,512,400,478,827,
419,378,170,619,188,706,033,656,286,093,153,398,829,765,844,254,531,137,028,
058,127,992,035,362,603,777,011,790,979,813,462,425,089,132,211,219,159,263,
859,102,726,645,769,530,969,966,641,104,210,695,794,301,328,915,773,925,023,
395,954,678,516,296,743,903,298,426,138,628,113,106,884,639,638,779,747,076,
194,682,614,882,675,665,119,310,441,608,057,382,915,887,813,921,071,081,962,
294,787,325,646,074,681,308,244,113,747,748,312,658,288,695,964,210,104,128,
067,149,053,926,078,605,977,936,083,834,201,149,460,038,282,929,746,959,415,
609,768,953,378,689,084,252,773,742,269,131,353,774,421,968,021,229,377,092,
784,901,443,524,771,292,205,493,751,155,776,379,104,051,043,953,635,134,876,
046,127,390,440,788,298,714,259,534,054,596,351,214,201,270,511,984,244,689,
051,147,461,455,082,004,143,146,111,430,930,127,460,033,407,468,374,592,542,
428,563,070,529,197,248,455,593,357,845,510,316,442,121,459,212,415,818,438,
184,484,000,721,748,318,491,198,095,869,382,468,266,185,936,130,090,669,976,
752,610,477,170,450,867,730,072,076,372,395,585,980,149,031,593,746,739,072,
714,018,558,496,070,189,524,893,919,495,741,546,508,014,370,314,081,698,589,
104,378,271,914,031,753,330,580,577,016,546,698,008,038,665,045,386,915,425,
979,378,791,328,064,392,284,152,077,894,289,857,228,789,642,653,349,096,705,
304,889,429,932,889,895,592,142,656,331,165,025,448,650,087,434,474,134,387,
491,926,124,910,821,422,709,150,552,778,245,338,231,366,290,314,829,253,912,
243,970,540,285,426,540,845,041,808,644,892,614,233,509,038,694,705,416,875,
275,278,309,649,719,964,193,073,399,376,370,555,455,010,653,219,993,035,803,
521,158,175,796,598,580,294,699,888,601,189,563,712,730,821,434,394,142,252,
770,807,615,811,283,152,328,589,159,370,482,873,749,154,638,746,365,987,611,
601,052,729,038,165,750,211,658,858,058,836,250,566,580,207,163,221,613,163,
300,445,752,325,024,417,362,205,253,242,358,550,670,142,068,704,404,312,728,
775,665,262,623,203,095,458,107,176,721,248,983,731,500,257,726,903,080,020,
502,045,632,840,174,203,986,934,952,845,491,716,178,222,361,889,222,560,678,
249,064,696,158,156,339,346,650,806,807,979,320,687,750,474,721,086,487,643,
293,999,730,316,626,928,554,123,882,793,304,742,009,847,647,693,443,265,545,
804,164,715,970,756,467,046,130,365,762,746,510,872,820,954,785,702,230,193,
118,233,285,055,010,953,054,075,673,187,712,418,095,448,756,642,452,924,584,
796,374,110,385,610,782,478,318,012,206,411,935,391,857,256,125,135,270,677,
560,967,750,558,684,714,091,185,878,153,339,534,494,172,535,788,826,036,787,
640,056,283,856,980,561,996,854,983,109,780,906,219,535,649,546,799,030,135,
299,046,787,198,116,806,262,008,587,391,012,690,682,657,349,937,954,139,621,
856,072,774,678,759,585,933,029,584,112,406,315,200,259,106,538,725,503,223,
354,612,197,608,905,887,386,481,900,717,704,715,744,787,452,234,166,066,503,
429,948,427,917,106,915,323,179,480,694,381,818,211,173,497,865,837,673,641,
014,605,636,468,248,249,443,099,237,002,705,898,514,075,156,945,995,847,579,
182,157,088,050,856,867,931,148,033,578,578,987,069,499,596,495,746,071,122,
769,723,570,632,142,524,851,400,106,803,231,709,196,079,083,536,294,714,763,
159,601,675,461,936,379,441,793,720,609,007,450,457,817,466,128,306,070,119,
258,056,192,601,106,637,538,144,595,386,648,022,535,238,719,938,416,142,957,
871,178,093,074,492,508,707,636,892,039,030,253,253,175,884,631,593,109,201,
479,228,652,631,358,669,441,807,043,161,824,898,461,345,908,544,737,681,253,
374,266,254,735,073,592,170,908,944,715,612,123,559,604,280,318,883,525,794,
296,244,974,562,978,245,459,504,699,859,521,072,913,909,631,983,033,469,005,
435,317,352,422,242,598,955,915,110,325,894,420,017,233,493,430,832,428,882,
483,624,133,387,681,459,475,583,941,706,327,919,457,574,668,216,908,191,510,
459,689,159,483,885,960,594,440,848,501,293,235,715,367,265,526,247,893,285,
241,149,469,059,206,040,601,688,482,294,311,392,810,146,380,913,190,919,662,
110,553,179,996,806,362,831,580,286,993,675,338,446,630,877,817,689,895,116,
186,730,225,586,471,422,953,592,879,807,251,549,559,193,079,310,984,557,961,
695,210,302,854,515,081,888,693,419,321,513,088,438,260,890,643,245,285,230,
202,085,440,563,052,380,364,145,908,391,073,500,468,950,145,223,323,684,221,
547,829,878,756,505,353,019,464,582,856,186,122,565,777,540,916,194,150,912,
669,052,835,632,492,596,077,634,112,188,229,547,287,432,927,161,642,635,739,
376,596,782,746,577,625,157,826,802,987,408,961,750,404,140,642,005,360,187,
931,634,563,633,630,200,788,518,080,124,849,359,231,066,587,560,186,082,072,
653,136,481,938,285,413,779,619,593,466,035,225,091,878,220,072,464,995,226,
483,863,341,622,742,287,654,559,028,601,873,536,649,607,892,220,381,099,836,
084,096,880,921,530,886,454,389,972,180,380,471,288,645,265,885,384,230,756,
975,000,558,045,436,222,686,338,228,601,071,668,018,141,081,324,289,105,489,
408,030,643,266,127,597,416,716,197,177,472,691,843,872,271,403,493,337,461,
141,987,110,550,067,680,680,822,111,501,944,851,458,829,866,176,047,295,203,
940,552,915,529,081,285,995,171,592,071,272,594,509,571,022,305,482,855,970,
111,341,957,175,802,908,065,005,144,715,855,284,258,204,857,685,014,826,454,
597,939,220,156,677,653,463,381,147,345,890,814,614,570,665,065,550,836,157,
473,823,860,234,660,786,022,647,457,590,351,478,191,495,052,825,718,814,129,
804,969,177,020,215,112,664,646,539,681,665,171,768,447,839,562,325,686,500,
388,403,966,302,596,758,091,440,579,597,603,647,121,479,287,723,312,233,996,
356,332,551,990,665,822,959,323,329,706,333,909,938,149,794,740,048,932,367,
674,608,111,120,280,718,990,655,180,538,836,285,594,596,897,815,370,227,462,
890,230,657,402,659,315,748,635,006,637,524,672,545,268,031,266,644,053,751,
624,797,437,962,418,612,490,525,622,274,409,235,965,003,505,234,258,072,120,
473,266,623,552,450,219,440,156,946,404,831,525,809,180,071,306,668,679,640,
854,874,668,437,679,837,714,393,611,426,176,528,817,316,993,525,399,610,795,
142,317,840,172,122,913,353,906,734,225,918,726,420,794,700,088,760,896,735,
399,422,715,167,700,879,316,769,993,296,477,350,916,309,111,321,165,966,016,
779,463,704,653,629,767,485,939,144,626,300,994,032,995,953,361,695,413,125,
600,684,993,574,462,234,211,919,264,484,121,010,855,776,574,043,460,812,806,
378,167,330,541,739,287,536,276,960,997,271,508,702,563,568,957,676,259,440,
949,522,734,806,473,090,080,240,275,003,062,933,804,745,451,341,990,913,675,
135,299,332,116,055,326,324,900,774,103,090,000,751,452,352,012,448,531,479,
967,993,032,986,823,006,323,677,383,115,609,607,126,064,638,359,463,818,734,
488,018,199,681,500,325,193,672,609,168,633,256,122,237,067,110,533,673,688,
817,287,488,004,819,012,265,199,851,137,233,219,333,751,374,060,226,811,216,
954,000,834,032,798,940,347,785,429,022,902,626,696,415,567,014,795,551,588,
110,350,507,735,068,430,918,943,840,211,878,640,107,619,864,658,627,581,883,
231,885,376,063,380,674,556,787,041,339,110,611,886,116,023,562,060,781,140,
729,460,876,013,239,808,683,435,561,578,516,702,209,261,956,183,436,495,686,
228,838,006,780,939,598,410,742,226,813,873,573,785,349,677,414,562,083,866,
869,368,214,598,424,043,783,184,068,228,538,467,035,831,828,541,215,076,435,
872,891,661,340,585,019,993,019,270,197,699,424,704,934,552,141,131,826,206,
493,706,710,709,080,627,607,997,385,989,944,147,799,757,707,226,716,543,152,
154,955,076,347,841,599,798,543,795,212,802,617,687,894,110,826,227,555,509,
922,914,719,805,872,032,190,125,929,330,276,675,375,060,385,599,598,206,473,
422,615,686,609,158,814,714,254,335,219,409,303,496,143,253,781,635,578,502,
584,718,269,787,877,969,083,693,670,601,725,245,725,912,511,170,549,988,671,
415,183,917,766,291,224,486,436,680,921,937,603,706,673,029,081,971,038,879,
436,441,123,027,165,659,917,167,958,508,893,159,475,744,925,576,340,517,641,
271,123,280,366,559,052,512,054,968,388,508,416,052,690,886,569,561,349,698,
831,090,419,909,652,040,487,983,424,569,654,687,592,944,711,292,944,488,607,
361,790,032,329,805,583,719,592,572,792,222,222,225,719,083,881,823,622,455,
639,589,075,780,043,920,975,521,172,654,333,086,461,383,723,010,139,110,438,
925,378,764,094,756,094,594,097,994,805,478,708,920,331,765,067,332,716,428,
313,625,792,336,865,013,451,325,236,915,673,529,826,332,635,052,719,076,707,
283,444,046,425,827,135,005,917,097,023,648,316,527,065,116,147,805,112,745,
870,285,017,558,156,216,348,678,814,903,712,607,749,691,474,389,760,036,732,
724,443,036,741,721,924,217,294,540,327,714,714,548,556,398,517,561,798,682,
824,968,223,345,046,256,209,604,636,891,016,225,171,134,491,205,185,303,245,
252,263,605,680,496,433,910,493,553,400,748,640,055,617,070,614,959,193,128,
272,488,520,962,315,137,145,841,705,687,046,228,775,169,856,132,985,352,117,
429,936,455,248,743,113,185,337,972,456,546,867,050,534,402,348,772,610,792,
605,855,839,428,464,516,384,277,883,158,204,996,285,049,342,866,013,360,000,
733,682,005,189,588,780,640,451,208,568,575,984,886,143,998,722,094,101,471,
599,063,360,434,486,401,895,610,461,521,321,029,761,837,435,115,243,565,175,
043,462,355,640,418,820,259,153,570,348,808,363,409,709,724,280,246,418,703,
507,098,331,439,066,865,498,006,044,981,650,931,185,096,918,273,672,798,266,
879,339,312,897,145,057,453,173,702,463,234,000,446,772,832,486,866,754,087,
106,462,441,651,735,978,922,438,622,486,246,537,930,367,753,305,982,806,332,
012,427,147,707,420,759,140,971,729,166,171,229,900,066,028,821,336,271,742,
712,226,990,022,828,004,894,993,519,973,603,829,405,470,413,315,591,634,409,
966,560,246,308,321,476,983,890,738,892,383,644,941,715,857,970,834,317,892,
035,014,712,047,810,388,696,903,998,790,933,068,598,971,491,565,994,684,065,
463,757,010,105,676,496,389,739,456,973,626,234,313,555,351,849,963,997,095,
381,549,882,285,551,537,849,979,047,384,663,836,144,029,496,367,517,620,292,
826,416,871,548,110,905,522,359,471,128,041,052,852,413,161,692,805,241,471,
197,771,811,524,984,101,836,355,649,302,638,838,178,691,114,979,181,346,282,
077,113,232,214,864,135,638,900,052,799,841,202,921,272,867,072,490,429,397,
525,165,102,096,080,836,977,464,340,302,174,640,864,402,119,945,293,215,628,
806,262,988,043,563,951,232,075,169,994,852,346,839,582,422,441,954,359,324,
607,363,986,787,590,773,693,276,706,441,183,753,462,280,961,843,112,553,863,
233,628,250,563,380,207,785,345,271,269,365,926,297,717,001,078,795,233,554,
751,044,806,802,946,426,663,994,391,877,544,764,958,427,884,612,408,508,682,
016,504,309,518,566,396,734,974,059,451,757,850,137,854,829,455,015,193,998,
368,280,533,862,480,801,858,717,510,266,789,668,983,932,908,085,582,361,649,
027,645,676,569,530,789,871,873,461,943,343,978,213,269,911,061,966,190,348,
131,761,653,597,177,457,601,958,744,413,110,647,705,596,210,433,311,409,035,
694,014,381,581,003,611,420,367,149,457,428,994,039,773,059,324,897,491,353,
463,043,266,462,087,487,592,020,894,999,775,743,484,084,671,173,713,160,449,
830,456,591,771,210,247,296,605,399,785,638,920,055,637,630,448,873,468,501,
249,130,326,006,520,713,363,739,665,372,639,786,695,406,760,417,347,955,685,
130,456,976,530,012,396,136,442,084,919,678,194,684,869,443,738,857,161,946,
563,037,829,654,891,856,587,854,498,250,955,422,923,028,921,379,188,784,585,
491,402,174,542,912,082,800,865,578,670,284,715,234,345,945,347,058,032,891,
801,605,945,280,221,722,744,625,971,721,279,154,874,573,754,727,772,157,279,
172,449,739,331,206,684,817,302,588,275,559,107,941,973,412,151,831,192,876,
291,932,440,008,015,541,374,572,503,636,726,740,024,531,008,747,684,190,220,
100,034,100,417,558,594,617,091,186,399,633,394,123,392,051,433,441,280,297,
338,140,942,031,669,594,496,773,720,425,531,954,941,058,620,494,939,510,673,
164,754,479,478,176,772,566,012,231,365,456,267,537,049,368,359,360,004,720,
557,505,550,411,150,357,857,982,338,205,600,893,591,675,237,979,990,813,231,
225,098,504,048,630,424,041,651,756,079,258,119,402,907,360,279,799,620,338,
417,026,132,883,822,142,916,466,356,632,546,417,454,120,871,549,788,320,091,
254,179,674,033,176,134,419,783,513,432,645,853,755,219,257,094,741,336,574,
888,255,645,037,560,417,004,678,496,744,101,174,094,640,830,012,443,249,794,
265,059,047,430,614,666,824,223,105,030,478,412,215,147,913,887,917,871,815,
119,297,136,064,646,881,688,213,148,120,067,864,803,589,546,951,175,731,147,
225,552,066,645,367,954,785,778,058,557,028,149,157,241,499,643,137,331,218,
592,739,160,528,981,238,993,188,878,915,876,970,906,910,613,596,237,051,521,
087,640,771,482,163,823,047,780,518,070,550,419,343,649,141,500,230,605,645,
503,663,183,810,382,059,794,493,183,362,879,738,483,582,132,659,846,611,043,
512,651,347,268,086,960,924,805,707,493,176,194,640,876,427,796,145,536,126,
398,851,994,890,269,764,494,901,137,830,812,290,671,751,806,682,128,221,405,
746,595,571,772,893,704,530,361,645,863,146,272,685,289,664,825,676,619,839,
282,934,859,642,607,227,987,312,577,329,877,771,382,777,825,754,752,000,671,
799,194,809,104,779,389,125,149,870,127,190,249,710,468,122,305,061,745,405,
344,377,540,551,891,705,663,591,162,035,593,014,089,560,844,143,367,863,894,
344,131,942,164,208,891,591,392,054,766,364,914,915,905,278,882,828,416,120,
638,967,384,772,395,643,521,179,194,526,436,247,929,633,669,647,464,637,919,
158,700,202,054,269,809,682,855,676,653,856,519,795,654,208,247,416,831,201,
104,662,478,540,630,969,480,657,713,710,745,682,175,391,357,762,905,360,486,
546,107,649,317,365,537,251,100,749,877,307,067,268,035,824,162,298,134,453,
712,518,825,580,455,108,278,377,587,595,058,824,443,486,708,249,141,686,613,
823,678,991,208,063,774,853,958,716,745,546,569,473,791,059,554,924,703,855,
073,438,638,889,420,879,660,850,062,969,985,798,228,082,256,625,847,210,481,
507,445,077,225,107,078,819,357,765,319,992,935,206,343,134,534,983,402,757,
860,810,773,114,127,773,302,455,200,552,536,712,427,319,020,460,006,114,491,
662,315,126,777,224,955,403,528,667,682,519,634,081,802,279,564,282,064,134,
791,264,343,537,700,813,446,279,816,650,702,721,780,336,878,386,843,389,398,
162,520,871,444,476,399,650,998,376,998,111,807,717,917,407,539,569,193,466,
450,592,077,707,038,179,868,070,546,573,907,051,692,666,055,059,770,106,533,
257,933,176,862,055,652,055,216,913,852,236,457,117,822,557,645,323,316,305,
360,667,870,752,823,387,984,810,743,038,372,639,653,077,980,492,691,535,168,
974,226,075,899,543,976,722,027,987,879,472,793,328,526,718,869,348,635,799,
805,604,111,791,898,478,791,462,556,816,746,930,007,614,185,871,792,337,698,
832,767,581,846,231,271,836,176,934,439,706,987,804,316,618,842,080,576,179,
955,150,258,140,341,159,977,260,336,090,082,262,563,622,972,522,968,701,144,
436,008,800,983,095,141,362,881,605,043,969,258,865,945,510,952,626,513,829,
194,335,474,419,389,759,431,791,372,700,665,661,934,105,209,994,314,786,441,
767,621,180,454,046,317,308,738,864,804,057,446,680,166,418,652,270,704,474,
037,135,042,528,727,397,559,413,805,548,149,130,269,123,439,588,912,383,796,
872,738,881,226,089,649,231,073,169,747,527,638,838,153,364,389,549,945,159,
771,118,460,267,479,827,661,803,622,198,605,886,575,000,577,116,191,901,365,
628,429,921,476,264,070,203,042,000,241,473,121,071,514,840,875,382,873,582,
509,019,420,390,935,578,840,109,350,307,319,726,126,390,397,968,149,525,866,
078,096,474,302,641,292,092,337,465,149,674,986,488,255,978,405,269,895,147,
461,737,509,056,337,438,050,189,775,028,061,895,406,800,050,601,278,321,200,
992,072,498,439,008,660,069,883,491,781,238,713,793,188,399,789,352,640,142,
730,023,896,194,840,970,530,833,365,143,891,337,418,759,292,371,657,689,388,
895,709,921,695,881,866,030,541,637,704,994,661,559,539,636,414,756,038,360,
644,104,463,855,649,692,988,853,798,137,710,362,092,080,962,550,206,199,146,
763,129,445,112,642,000,017,801,068,652,677,009,937,892,130,965,954,432,026,
993,143,977,937,954,405,496,300,732,650,695,191,056,792,913,300,795,809,172,
637,137,450,542,110,050,339,170,049,451,659,313,344,282,182,012,311,402,920,
527,932,537,083,561,463,045,313,561,182,253,091,486,278,100,241,871,433,431,
033,461,708,919,239,871,884,454,221,547,235,771,282,066,676,876,811,819,509,
313,790,989,269,965,170,475,851,256,228,358,813,364,721,423,840,105,264,943,
267,195,235,166,890,462,038,088,672,454,681,090,671,847,502,217,243,705,666,
085,532,510,085,177,492,107,761,823,038,832,715,351,958,279,868,093,890,586,
515,094,303,815,313,603,954,040,531,629,713,259,885,239,381,091,953,398,372,
423,849,749,684,553,819,844,801,940,600,579,977,627,130,398,844,530,187,850,
151,097,106,543,528,245,728,152,386,144,305,253,827,476,468,363,327,534,982,
427,432,695,612,122,025,029,539,950,936,155,604,421,639,291,380,705,049,224,
904,334,384,886,611,462,257,678,223,193,213,517,238,374,243,948,838,690,868,
454,085,475,458,695,571,845,817,155,551,028,683,862,465,796,198,884,753,094,
423,201,384,613,584,391,497,650,648,777,747,499,809,115,284,336,940,691,269,
827,522,674,814,745,482,646,244,909,126,820,121,061,568,423,553,208,664,190,
540,073,149,563,635,761,987,920,150,503,778,187,562,293,269,135,069,769,387,
228,329,055,857,338,888,211,538,666,375,964,222,200,056,437,688,891,505,624,
487,321,734,125,177,689,057,411,569,359,436,953,004,451,375,915,197,756,069,
323,257,179,588,140,919,264,879,647,743,351,354,578,927,505,097,056,799,852,
875,197,556,557,114,386,217,064,009,980,430,339,159,442,800,079,565,082,779,
415,142,685,968,167,669,812,628,272,779,077,915,970,172,888,986,394,960,530,
835,428,037,585,159,842,957,392,034,648,951,568,677,187,701,226,417,052,827,
413,748,656,846,569,343,628,142,220,873,266,815,168,478,318,571,618,883,890,
219,602,817,968,195,496,229,256,532,508,306,694,804,504,057,222,274,174,757,
198,553,850,627,260,013,202,543,771,057,958,683,370,602,930,897,774,078,008,
178,156,288,420,734,818,786,820,708,446,325,675,907,634,360,587,472,218,744,
763,826,441,295,910,208,063,179,479,653,565,341,119,169,975,236,784,679,118,
045,710,878,068,213,030,150,621,922,484,227,999,881,127,448,871,276,685,872,
072,094,276,687,401,941,553,269,892,729,956,257,510,178,229,688,768,300,694,
239,801,318,538,948,315,742,085,653,461,089,356,002,780,547,320,254,962,996,
812,843,261,810,328,835,765,552,060,739,726,387,618,940,692,052,866,442,208,
225,211,077,235,938,092,682,048,713,741,915,080,036,671,447,740,033,501,226,
895,541,992,751,225,941,405,256,950,765,358,065,773,568,672,248,066,767,511,
533,296,241,436,622,220,233,333,142,240,305,744,493,669,359,812,855,151,527,
767,739,418,022,771,209,937,120,902,087,375,340,029,189,417,622,060,324,474,
669,871,897,337,732,403,562,255,662,539,435,624,482,326,948,049,021,827,428,
136,072,208,609,313,951,770,273,928,624,827,040,001,727,292,087,356,174,520,
228,160,246,750,763,971,811,671,281,357,229,508,858,431,640,856,905,653,398,
712,633,640,892,025,004,200,496,884,181,422,924,010,401,334,660,649,352,621,
581,459,444,851,292,025,438,342,410,347,508,111,955,376,551,860,776,827,752,
626,845,339,900,759,166,435,243,610,921,517,790,017,527,338,587,710,528,926,
064,263,161,558,643,779,317,360,933,573,228,080,754,458,474,168,425,375,444,
318,528,027,286,464,333,029,532,269,265,796,256,461,179,010,385,206,801,595,
284,203,244,790,164,238,397,158,221,320,840,551,626,790,719,869,599,960,942,
394,239,882,770,974,437,344,223,205,334,251,057,141,217,704,999,321,025,587,
859,479,273,623,285,372,860,925,590,134,638,710,227,817,075,868,654,083,118,
088,790,611,811,142,612,674,149,728,122,356,980,615,343,573,176,288,567,573,
976,740,990,016,814,168,181,263,651,147,304,072,420,582,656,628,204,632,748,
522,735,568,021,539,022,201,351,730,731,167,275,348,878,031,628,587,116,865,
736,119,958,817,584,507,623,028,830,399,153,889,889,237,858,434,718,325,878,
750,476,758,366,079,831,176,752,184,445,043,808,724,152,301,056,032,443,691,
016,691,334,804,255,230,047,069,682,216,531,215,691,252,204,597,483,492,076,
603,075,032,372,971,381,493,516,290,363,442,723,191,599,937,457,324,140,934,
009,419,715,100,098,855,331,484,286,563,281,256,172,944,023,752,378,906,106,
858,494,927,192,358,254,303,192,313,572,774,777,694,063,079,843,226,723,975,
533,918,469,289,896,969,775,224,839,121,022,303,393,280,473,823,039,539,909,
459,295,795,659,423,839,358,662,039,332,912,628,659,401,382,233,180,345,216,
720,499,891,179,754,230,608,674,501,420,055,105,694,431,197,839,690,180,425,
420,107,641,356,228,270,392,933,465,225,757,855,648,658,282,257,525,477,863,
016,463,367,019,227,810,863,289,754,850,951,504,770,832,344,398,544,714,601,
690,951,431,659,182,523,438,903,235,894,864,783,587,575,922,007,208,641,209,
357,023,043,077,982,294,866,264,521,173,574,437,468,290,650,584,662,401,242,
734,432,399,313,244,756,192,768,537,084,843,193,724,847,896,900,243,417,435,
617,558,174,828,942,014,740,069,852,924,197,060,885,829,438,436,023,112,360,
854,220,705,789,366,637,052,269,036,333,486,922,782,052,996,327,927,678,006,
700,232,381,999,399,844,194,245,296,648,930,847,889,927,762,685,553,245,925,
700,417,731,501,195,217,791,622,167,808,182,034,278,691,197,802,773,734,517,
320,026,387,657,576,713,668,067,954,815,029,308,436,493,301,652,948,724,072,
121,975,805,579,359,541,135,713,620,794,653,956,694,599,723,334,998,049,559,
371,261,102,866,040,381,203,160,850,175,888,011,064,001,393,153,174,846,638,
480,009,773,615,000,763,897,177,605,355,917,456,405,250,555,759,592,397,193,
055,999,976,994,012,433,706,333,311,616,457,637,718,739,858,661,325,174,210,
646,720,146,596,291,772,002,752,055,981,740,831,400,171,457,889,452,099,448,
003,725,077,794,753,978,780,974,109,886,258,729,868,925,407,404,743,651,795,
585,343,845,526,050,227,901,372,617,844,380,902,519,414,892,477,794,856,637,
811,439,070,920,534,308,473,678,366,271,002,966,503,608,162,086,059,350,819,
181,805,076,890,786,874,749,976,608,032,322,174,954,110,401,353,129,613,068,
806,042,035,869,003,232,727,150,823,531,805,240,507,830,152,162,512,391,116,
798,091,946,494,214,020,443,408,886,132,846,843,706,723,495,620,475,500,811,
716,358,094,012,270,538,446,645,059,096,315,008,442,382,355,680,775,891,693,
681,529,176,848,186,508,703,301,258,493,507,811,240,424,411,808,953,895,008,
180,473,871,098,273,527,718,491,421,059,487,520,700,284,764,853,316,154,142,
032,583,716,400,817,639,561,653,558,534,755,594,310,943,835,649,248,914,513,
070,908,853,272,763,083,378,138,508,420,452,427,020,246,660,154,218,606,286,
867,614,391,365,324,188,013,880,937,971,033,092,255,220,075,746,338,407,765,
980,247,168,341,881,783,692,364,133,804,612,537,257,607,165,852,550,817,139,
692,815,655,011,335,252,724,239,327,591,233,132,419,230,775,713,209,528,663,
326,157,850,933,006,521,277,968,126,355,116,953,595,170,193,584,111,258,207,
362,454,156,947,047,293,289,339,665,508,751,438,294,200,198,795,805,948,944,
195,987,877,254,463,509,727,856,069,741,187,294,876,400,050,943,345,256,215,
024,492,326,547,781,426,959,259,494,672,676,786,039,633,465,583,834,080,478,
063,606,414,773,275,797,077,568,270,460,647,298,816,829,850,445,084,738,396,
689,388,965,503,417,172,700,522,371,836,096,718,849,463,775,461,141,944,863,
723,971,123,573,045,917,769,770,281,847,049,301,505,091,546,877,199,858,077,
116,308,863,512,689,780,860,939,420,715,554,106,201,932,696,811,979,020,157,
656,272,494,339,369,893,290,519,960,529,620,050,961,330,160,522,247,931,875,
488,552,091,851,972,892,905,360,129,960,812,428,212,651,962,312,084,140,174,
531,703,932,585,328,162,658,475,989,429,426,534,348,408,316,349,289,116,254,
075,777,253,273,625,659,287,492,171,516,699,107,772,913,705,990,703,082,898,
148,823,021,501,772,726,585,821,939,783,814,554,839,332,367,860,510,912,959,
737,581,524,176,189,314,023,954,897,474,164,374,179,144,759,077,305,164,145,
091,457,094,855,475,269,224,943,999,755,545,197,399,966,432,508,051,853,821,
719,090,016,130,130,902,738,203,155,871,365,540,829,208,447,011,769,419,902,
812,674,824,613,688,574,827,897,784,140,837,538,600,406,705,748,680,775,824,
300,463,588,160,544,172,485,842,547,431,354,499,859,219,487,910,787,242,981,
833,760,441,987,647,610,865,671,423,513,107,616,081,469,999,193,267,678,367,
304,566,349,976,583,664,875,066,892,311,634,806,835,237,087,410,661,193,016,
771,491,469,439,143,716,460,498,141,103,691,586,714,948,159,788,585,078,439,
615,329,872,706,665,054,298,957,072,448,729,952,652,536,741,094,505,088,229,
356,467,599,215,909,313,973,061,510,558,985,827,805,852,643,289,003,514,762,
099,724,798,102,483,331,935,822,969,920,236,475,255,149,954,722,869,819,943,
666,708,803,708,562,624,492,818,062,990,353,923,626,188,481,463,522,208,504,
641,271,464,613,026,664,074,038,339,057,836,039,236,295,655,444,100,560,504,
146,832,351,978,487,559,757,558,965,359,456,358,684,318,007,032,865,344,626,
328,810,970,263,139,162,142,283,579,935,519,621,101,156,779,077,314,968,745,
918,423,884,931,497,397,438,416,591,030,035,720,635,985,749,894,997,533,335,
774,277,528,178,226,620,661,922,144,751,273,968,581,717,757,788,402,156,575,
525,973,174,554,938,763,893,215,711,185,285,029,170,171,122,965,697,550,753,
284,406,242,548,328,725,085,277,952,206,547,769,328,427,457,570,657,247,530,
228,526,311,636,470,259,883,228,570,992,801,006,152,244,915,317,970,804,320,
432,875,243,997,402,013,567,396,257,794,915,556,124,403,308,276,663,395,322,
017,252,815,715,853,783,129,826,536,678,434,014,503,796,778,130,503,959,495,
822,511,839,860,153,350,688,263,806,113,079,033,751,857,207,557,865,798,362,
076,461,859,492,681,189,848,266,944,740,352,074,201,833,198,556,161,067,944,
821,786,754,303,647,156,131,577,610,020,184,478,879,957,692,010,178,696,336,
649,830,692,172,400,925,184,283,294,180,219,620,222,419,058,036,602,067,394,
534,682,732,867,679,542,460,193,742,528,442,713,296,771,136,450,895,585,749,
190,715,871,769,102,148,748,932,010,350,292,311,368,030,514,026,255,482,316,
457,326,519,706,954,421,183,132,175,720,371,328,234,792,151,654,248,171,611,
262,300,015,424,731,025,294,912,519,000,160,178,386,576,655,430,083,697,747,
327,178,501,811,094,827,005,097,798,793,490,494,853,058,122,438,660,486,657,
961,108,901,706,062,552,655,202,295,063,320,090,153,573,225,766,193,164,988,
339,436,912,283,184,850,079,415,994,858,720,370,835,153,413,152,257,228,800,
847,101,457,260,771,436,853,028,044,836,367,395,291,504,411,541,530,285,229,
276,916,582,249,111,312,316,203,541,466,556,537,318,132,206,786,371,681,274,
572,513,043,371,626,084,492,560,738,299,719,285,126,922,157,919,125,681,551,
342,787,751,275,822,450,183,229,568,333,280,459,741,564,075,951,206,073,020,
533,868,804,576,579,250,344,122,771,729,961,676,616,831,694,243,406,339,364,
041,545,251,680,946,561,056,173,230,748,569,574,706,948,321,972,691,179,265,
636,773,524,411,621,955,993,250,820,015,439,738,876,684,017,842,197,131,651,
612,122,094,679,951,397,991,099,464,476,569,037,833,633,457,194,847,248,814,
903,009,938,416,855,054,107,626,884,523,837,551,964,042,798,537,505,405,697,
094,263,901,481,244,400,649,981,460,194,035,327,864,485,835,476,730,293,945,
441,294,997,008,758,595,176,467,920,695,010,110,255,417,911,803,652,923,759,
155,356,559,661,692,082,035,572,986,902,481,885,197,807,846,272,116,754,151,
024,227,839,703,382,107,628,500,673,755,680,051,388,505,648,528,019,347,880,
950,235,379,362,354,968,383,787,077,222,461,654,218,968,040,374,590,434,977,
142,831,147,879,217,501,854,349,980,528,335,791,898,348,330,208,567,995,023,
133,149,740,190,958,537,520,003,865,637,203,459,200,283,318,863,586,903,241,
399,869,823,358,729,634,526,559,740,918,876,647,313,770,307,683,897,863,065,
684,128,841,313,246,312,839,231,912,300,190,741,959,426,012,327,505,069,055,
374,432,756,873,907,203,932,151,345,800,232,879,882,995,093,644,903,332,453,
661,750,922,049,455,457,939,128,703,805,584,792,985,732,994,700,934,227,279,
749,021,482,538,600,376,037,225,408,956,494,118,429,329,316,380,299,657,803,
900,261,556,972,825,474,489,968,478,676,828,278,860,557,041,355,629,316,576,
474,854,511,456,744,196,030,473,793,405,868,543,698,821,172,418,871,736,059,
989,356,039,944,655,197,822,778,006,985,584,635,089,034,280,480,745,841,683,
211,015,803,640,301,673,404,742,468,459,395,910,472,423,607,647,109,739,328,
608,271,677,762,013,389,191,739,324,228,880,200,977,984,351,873,821,612,106,
254,956,936,314,572,737,142,557,689,740,563,151,722,754,571,070,515,725,055,
581,002,116,692,505,789,012,109,643,108,156,028,113,564,827,643,105,426,114,
648,189,855,507,425,276,190,626,844,926,338,142,819,444,464,585,047,157,598,
564,924,539,590,273,509,746,142,967,568,508,587,847,240,254,860,671,729,303,
534,491,091,120,365,762,511,876,007,693,156,953,676,775,272,184,440,912,991,
188,970,959,044,150,791,525,414,584,376,586,331,058,949,690,354,889,582,519,
530,052,046,234,649,934,340,533,715,722,849,814,119,111,128,853,936,619,016,
388,312,005,760,673,442,520,313,778,368,602,185,626,512,013,208,174,272,579,
420,061,915,275,305,520,517,859,232,695,971,302,606,835,140,994,906,399,279,
908,820,904,193,521,082,455,269,665,149,669,765,038,990,802,175,951,284,248,
029,733,172,371,546,821,946,580,908,017,706,333,198,494,924,796,941,692,215,
819,684,314,254,257,318,383,485,653,122,996,192,231,951,641,296,507,771,667,
547,829,837,172,054,343,165,771,893,268,259,916,326,349,607,075,590,646,106,
033,494,181,701,953,263,878,378,561,883,578,622,732,491,867,234,130,422,636,
061,582,908,782,490,352,900,077,693,077,954,376,909,385,654,671,505,912,724,
898,994,130,430,796,771,058,693,674,731,260,718,219,470,072,167,986,324,193,
493,967,713,754,891,991,066,252,247,770,221,090,229,899,910,893,913,626,413,
265,629,430,159,952,472,160,454,355,012,242,592,513,505,173,873,068,856,929,
837,725,807,606,889,095,007,212,761,099,682,941,743,235,257,092,433,393,744,
153,420,502,547,812,683,102,087,715,325,156,629,540,099,884,564,557,552,869,
015,559,932,758,007,588,768,212,513,177,354,688,370,570,890,980,185,705,624,
544,978,777,062,711,941,808,127,672,640,503,931,155,557,358,046,691,065,539,
221,979,868,298,770,587,395,989,268,985,461,580,999,308,837,075,939,693,529,
354,869,261,674,864,446,396,822,495,264,753,812,604,177,323,942,742,696,840,
687,026,587,572,415,749,559,433,079,388,508,536,604,435,631,176,398,960,804,
124,461,303,140,551,790,648,850,398,701,840,449,880,584,690,939,704,357,088,
224,958,631,403,972,582,854,995,576,675,325,778,446,362,338,758,209,379,277,
476,230,506,936,591,198,916,325,789,918,765,978,443,710,117,385,782,849,189,
604,876,568,629,433,084,123,828,643,439,703,838,722,020,195,095,638,499,040,
593,687,879,979,981,371,953,206,910,900,740,116,458,214,707,860,390,735,070,
573,976,601,714,816,877,939,418,862,594,457,492,654,425,744,138,569,205,647,
912,215,086,381,994,507,417,902,672,287,382,305,212,864,817,210,467,792,169,
637,572,143,703,673,324,112,134,692,752,496,074,223,300,628,190,777,297,830,
788,203,880,886,563,175,433,715,143,099,827,811,851,623,660,315,871,755,567,
707,728,065,916,095,680,643,271,966,819,617,153,990,482,326,207,270,486,927,
682,804,789,664,459,047,407,736,811,838,231,076,251,430,259,493,653,874,447,
518,354,645,323,148,217,729,079,205,902,447,222,641,565,627,359,783,724,429,
385,579,194,324,736,377,748,978,098,484,876,784,264,601,803,077,778,400,730,
485,020,619,661,649,912,138,104,187,368,873,669,018,434,717,471,953,225,943,
799,787,865,352,064,883,546,187,849,259,453,494,686,423,154,290,572,397,112,
645,001,180,734,182,288,022,804,922,437,595,914,167,082,629,631,938,767,238,
092,281,394,600,038,154,566,452,045,307,077,804,561,483,009,724,538,508,665,
819,029,441,365,539,267,092,789,266,671,890,080,987,861,202,733,970,500,160,
996,876,278,753,765,121,933,072,131,479,272,722,187,800,638,260,949,318,013,
902,184,900,757,743,301,562,465,960,971,522,921,573,515,226,492,784,560,146,
643,285,187,970,585,907,893,719,942,766,956,242,260,067,808,582,457,959,117,
296,185,482,897,751,128,673,496,644,798,059,849,713,331,843,676,075,331,790,
709,899,182,013,943,325,825,761,574,991,187,020,522,937,750,824,073,307,424,
547,361,599,786,575,928,348,840,453,715,161,348,828,643,391,577,080,151,240,
458,061,554,442,176,550,142,384,778,727,410,078,301,267,331,765,759,366,070,
199,930,352,204,895,722,780,995,567,767,238,448,161,733,018,743,175,730,653,
235,647,913,130,645,037,967,466,789,008,301,274,586,200,304,522,765,890,121,
210,412,181,121,621,073,071,979,730,000,433,053,047,151,253,054,508,318,098,
668,304,273,613,470,175,351,971,225,218,871,383,068,379,568,782,733,407,799,
451,881,783,457,010,030,774,247,872,902,592,674,616,273,047,884,100,508,318,
775,996,045,172,614,935,408,583,131,093,873,304,192,878,669,350,648,818,791,
634,949,639,503,397,708,075,162,187,526,900,510,593,667,095,057,163,117,198,
600,322,469,443,642,050,689,842,547,161,458,460,150,298,628,626,180,359,328,
340,154,489,796,725,049,112,241,407,622,891,084,171,706,270,046,190,819,017,
965,216,546,043,633,988,089,426,913,349,111,407,590,895,703,885,768,613,760,
254,060,395,479,740,080,099,835,547,058,769,742,252,974,283,382,894,357,888,
497,654,891,993,758,064,707,778,348,517,612,598,586,640,906,108,139,613,897,
702,761,402,908,375,086,350,687,354,018,649,822,017,433,440,631,317,918,351,
605,792,793,395,523,581,082,478,579,100,289,650,176,497,509,591,690,647,431,
311,971,325,453,830,440,841,616,107,383,279,503,523,530,351,757,586,419,777,
983,367,746,306,611,528,944,543,173,545,929,679,472,323,458,513,960,556,299,
723,819,207,880,401,888,683,139,129,024,777,775,171,984,607,229,898,612,997,
109,673,328,627,254,331,663,890,583,696,175,104,311,894,051,382,767,963,560,
803,453,645,508,248,108,063,093,445,401,595,556,603,372,258,953,454,331,978,
653,767,124,565,240,150,290,345,257,554,534,158,595,906,066,646,565,930,584,
530,056,086,048,606,269,593,407,427,458,391,631,869,616,963,955,596,353,195,
609,126,011,865,002,990,708,289,479,060,924,828,581,698,809,448,914,224,133,
647,130,468,856,048,630,154,555,538,338,423,482,699,577,510,881,445,630,063,
457,688,013,827,084,179,859,807,202,983,253,199,047,427,803,521,198,561,522,
039,933,166,252,092,118,851,157,331,251,005,184,129,462,348,050,942,210,968,
739,335,083,612,872,189,801,897,664,611,894,620,745,849,072,736,465,467,641,
553,420,621,227,304,585,826,280,367,530,117,635,325,485,822,070,706,624,145,
902,064,710,418,138,792,586,723,286,304,130,429,408,038,576,972,941,987,424,
022,535,705,028,050,210,046,774,554,443,902,655,755,181,537,704,988,178,845,
686,153,516,196,660,757,393,136,213,570,709,676,910,054,507,042,076,245,686,
924,806,769,369,757,144,186,130,426,099,429,373,404,475,468,330,761,036,365,
163,437,868,823,318,564,283,395,613,267,583,114,806,753,269,130,408,648,678,
467,534,185,386,545,505,996,383,245,951,578,333,467,691,206,901,929,353,385,
993,820,897,914,509,918,950,425,936,354,855,697,476,728,750,694,080,582,479,
583,725,202,570,718,793,353,857,036,601,032,879,005,691,978,195,022,387,443,
087,887,131,003,160,955,693,056,191,070,009,893,938,786,910,836,860,426,089,
794,176,879,683,578,705,760,036,687,982,327,951,585,630,486,893,687,446,784,
069,677,416,329,507,747,426,765,877,027,292,948,853,015,715,849,687,348,425,
878,247,845,455,371,467,182,780,284,824,691,931,287,648,605,094,395,771,857,
588,946,329,108,869,532,459,310,872,550,906,839,508,029,097,417,940,208,810,
406,235,634,076,634,505,875,980,097,819,304,977,752,768,495,873,796,900,616,
246,800,780,672,256,022,322,777,412,562,778,026,492,944,427,734,268,904,036,
400,685,084,407,422,280,700,993,259,508,321,222,464,292,571,637,864,584,833,
235,888,087,822,642,737,390,954,900,357,735,372,288,243,047,080,372,054,859,
578,011,771,992,802,782,856,119,920,738,447,349,585,844,339,025,892,515,194,
506,150,604,608,332,067,143,243,141,628,450,150,905,527,408,874,283,645,610,
396,211,189,246,494,410,449,195,828,507,336,950,477,049,443,220,435,370,075,
995,027,202,087,562,655,321,267,232,535,153,147,454,982,705,490,212,738,854,
470,469,142,968,480,399,089,926,645,171,641,110,567,174,733,846,338,437,422,
456,400,351,970,965,936,754,043,094,387,810,815,870,802,308,382,052,162,728,
397,551,986,049,323,372,672,391,937,033,941,621,970,920,692,367,602,413,644,
312,949,605,732,043,258,077,027,837,791,431,790,508,229,863,516,548,385,982,
782,316,672,485,967,952,095,466,545,616,890,256,163,685,856,066,634,778,186,
789,391,813,354,029,278,917,200,571,715,781,744,347,446,175,883,967,501,373,
217,178,505,072,887,569,158,745,780,505,304,571,116,091,176,810,841,810,667,
738,296,020,151,065,365,342,465,412,372,708,427,429,527,792,550,796,596,006,
094,892,095,554,755,614,007,272,388,403,432,562,339,443,929,254,713,356,683,
634,989,797,817,651,277,485,292,439,864,476,225,898,704,424,778,130,210,952,
805,192,876,017,224,258,454,180,802,043,386,477,097,064,037,252,088,628,714,
961,893,858,116,176,064,998,314,154,753,387,606,757,005,258,022,235,580,985,
127,463,101,121,861,961,783,705,335,900,802,819,308,883,144,455,239,153,023,
070,333,577,595,281,581,281,041,636,482,311,965,164,472,579,540,144,737,669,
068,869,982,181,076,541,657,200,411,395,239,589,452,897,361,829,357,736,967,
955,390,230,443,791,173,302,328,168,711,438,582,677,174,892,402,610,331,238,
541,569,598,798,060,944,322,558,693,333,305,141,810,445,393,823,862,230,995,
179,591,130,721,591,561,539,642,681,353,018,200,334,212,216,383,536,799,768,
911,418,624,971,263,956,435,465,067,542,161,879,794,981,635,934,343,034,410,
014,063,737,270,315,852,647,289,934,803,085,891,490,280,158,949,280,014,491,
752,518,796,370,057,301,084,076,051,398,290,611,275,350,040,058,637,536,953,
153,282,999,230,254,545,278,221,226,439,219,747,375,223,684,859,770,588,018,
261,487,436,931,132,686,934,642,300,355,986,939,330,831,002,838,991,915,946,
935,142,227,300,135,084,042,573,727,974,510,283,812,656,244,768,165,448,255,
542,135,669,337,527,477,326,166,738,078,755,948,610,089,113,970,823,232,444,
732,032,640,673,441,123,953,614,861,552,145,772,578,882,143,018,854,450,197,
116,543,498,711,471,973,098,446,346,155,721,220,742,083,400,157,298,271,049,
110,164,948,806,773,438,258,158,561,134,224,891,523,367,758,461,798,943,217,
018,915,730,235,304,119,149,982,605,613,122,685,811,894,143,362,727,905,009,
994,199,726,595,652,973,068,124,640,565,930,691,451,021,780,901,721,204,526,
821,533,134,091,824,942,338,857,061,127,830,372,239,553,224,232,134,914,146,
517,558,534,061,162,853,666,521,602,437,003,713,286,809,050,067,558,672,103,
099,875,861,381,615,026,660,671,099,874,804,116,156,552,811,857,782,048,749,
512,040,193,715,621,391,236,805,619,687,419,503,024,302,891,389,646,077,329,
694,796,643,972,110,288,163,840,500,788,404,587,224,318,045,810,351,193,788,
993,803,644,493,060,336,500,802,691,397,965,005,134,956,121,840,489,077,910,
300,965,467,791,949,569,166,104,751,280,136,815,497,222,565,841,341,956,048,
228,424,448,949,412,765,958,033,826,464,039,138,010,541,564,839,213,511,019,
520,372,577,093,810,472,074,474,726,421,315,195,697,299,172,197,540,210,353,
155,866,344,196,934,194,731,603,675,830,533,301,727,220,733,113,956,747,713,
735,461,018,711,540,933,227,002,959,867,269,876,451,534,942,382,442,467,091,
173,480,545,445,609,760,005,822,696,267,372,426,195,796,794,264,031,422,943,
371,362,073,682,619,166,136,382,402,615,865,727,024,572,459,872,887,163,982,
076,152,924,617,205,295,080,169,831,218,298,232,606,637,404,438,447,924,337,
013,592,522,246,353,311,315,862,763,125,753,489,651,876,849,044,397,042,948,
789,710,913,411,365,363,120,758,192,721,469,819,859,711,555,335,676,861,900,
477,209,342,019,741,385,414,832,470,216,215,453,340,378,528,281,038,182,646,
331,760,651,674,055,463,594,614,684,895,360,077,194,047,581,307,543,103,972,
493,469,060,525,149,484,508,649,371,098,651,222,724,164,038,225,868,288,624,
793,181,487,890,756,652,347,578,009,393,693,602,563,875,388,151,280,402,100,
790,999,313,113,138,049,421,180,600,447,020,876,237,591,413,305,545,916,519,
613,080,810,646,643,522,756,858,217,730,822,801,010,060,647,208,530,587,827,
492,024,728,559,648,274,938,896,986,212,207,770,890,663,460,902,367,195,074,
881,706,854,468,192,589,536,716,163,367,123,289,366,266,248,554,395,623,743,
747,266,991,847,233,925,796,478,392,207,925,682,114,607,101,924,190,600,013,
221,275,391,649,523,775,572,900,472,851,233,023,440,534,228,199,973,060,186,
112,632,541,275,942,720,192,467,247,724,371,057,178,462,901,668,993,027,465,
514,153,055,396,174,660,117,531,709,060,069,014,822,007,932,739,380,793,436,
562,639,925,642,314,585,620,201,474,415,344,107,240,877,382,487,777,917,263,
682,707,859,389,228,628,842,830,242,958,662,501,071,701,478,639,943,555,697,
454,719,010,470,941,000,515,774,395,520,217,593,419,092,453,428,237,527,090,
858,034,329,705,402,080,815,733,562,419,758,613,604,384,644,201,677,486,443,
203,910,027,159,584,616,297,438,613,815,009,245,067,540,497,969,107,674,315,
694,213,325,277,966,945,897,797,767,512,573,895,510,499,196,001,684,068,327,
969,173,279,142,968,098,034,693,413,012,877,595,107,956,727,623,683,119,349,
049,806,801,701,189,796,071,663,425,860,636,746,360,652,385,446,865,360,509,
567,414,330,622,556,598,967,173,495,147,847,384,390,885,849,090,173,140,858,
854,464,574,128,596,653,170,675,815,144,605,939,285,128,547,259,255,332,202,
768,748,136,481,299,525,375,023,118,303,634,085,066,876,425,737,732,364,473,
473,868,704,274,264,891,946,991,324,642,775,814,695,656,956,060,314,526,673,
302,937,466,233,123,307,426,663,928,887,867,504,300,855,027,289,999,316,132,
557,077,979,084,377,696,686,417,807,486,655,055,344,057,841,059,353,963,592,
344,756,615,418,826,900,015,016,010,400,052,296,434,424,305,875,421,753,645,
998,806,983,305,537,502,967,314,288,770,003,997,320,435,463,946,413,696,462,
158,939,379,111,766,268,190,669,985,885,583,050,035,405,881,924,052,677,784,
915,556,827,591,999,786,510,387,864,624,797,685,210,229,883,942,995,206,008,
952,960,706,227,300,893,143,428,802,156,876,890,120,662,776,469,535,172,986,
926,217,966,868,546,810,919,887,002,425,084,535,957,832,253,827,349,193,630,
435,631,324,862,086,613,482,723,936,013,614,332,883,671,432,768,720,773,133,
164,169,812,366,843,547,480,218,511,250,475,684,951,996,036,192,281,656,118,
157,208,982,566,052,540,902,855,756,436,059,247,063,592,469,256,155,096,138,
529,041,545,713,633,311,836,655,812,761,581,066,929,928,997,942,615,780,121,
018,623,681,395,547,861,662,755,831,542,056,609,102,107,336,968,520,772,865,
321,306,541,100,395,415,134,315,315,887,906,978,221,707,054,033,004,598,770,
105,249,143,699,362,659,009,190,077,626,312,368,986,522,348,310,081,816,080,
173,786,130,083,564,693,678,086,604,316,950,192,765,603,600,006,622,103,724,
807,335,815,732,255,526,156,176,228,985,757,675,903,923,304,862,444,741,189,
546,006,478,445,113,933,472,216,849,108,995,421,225,394,223,398,448,566,510,
750,976,025,059,047,581,741,859,228,132,171,043,164,881,587,774,109,544,005,
841,495,721,705,058,260,785,752,042,524,493,586,792,750,856,654,087,487,899,
437,719,189,834,259,602,151,268,038,039,423,526,665,484,677,132,918,915,942,
141,710,935,607,181,953,998,138,313,060,054,122,050,822,601,471,395,477,491,
344,802,304,894,248,984,464,574,610,259,627,804,234,568,382,492,613,602,312,
672,996,647,365,330,441,361,084,647,794,395,643,127,389,199,285,778,387,555,
290,764,013,807,046,759,159,897,589,034,846,070,793,809,274,277,348,799,544,
051,362,731,379,198,666,826,427,484,381,056,881,971,437,757,298,849,359,449,
007,315,219,448,388,007,478,492,671,935,763,439,640,785,076,689,559,498,212,
957,936,266,876,966,018,526,778,608,231,199,735,632,909,790,344,897,979,464,
057,068,646,492,131,385,352,631,085,327,909,284,723,228,516,762,761,232,102,
121,573,580,043,656,263,708,400,657,356,827,474,205,026,351,334,632,707,019,
899,271,566,859,843,344,060,863,266,925,206,293,379,327,090,472,888,824,960,
758,961,522,702,822,736,055,449,403,170,980,390,109,348,735,396,603,092,390,
242,032,268,187,049,173,878,762,091,464,976,733,304,575,625,360,765,714,970,
897,392,037,995,507,109,219,348,660,873,613,941,799,079,509,694,610,212,858,
549,109,182,985,524,408,453,992,416,758,172,824,576,103,394,629,662,545,394,
877,617,804,878,724,664,838,653,179,184,965,280,052,996,553,901,524,603,263,
521,629,884,164,912,984,390,362,216,979,909,269,980,373,581,540,344,609,978,
370,261,619,221,974,193,182,192,908,597,110,767,664,840,461,170,498,813,445,
226,468,595,502,536,656,990,192,743,017,153,593,304,289,683,887,723,427,772,
929,792,422,861,899,166,725,812,156,476,830,146,216,141,593,780,729,613,937,
534,800,779,605,647,319,678,276,638,787,961,656,932,521,961,138,861,057,212,
061,380,395,251,091,203,789,866,582,815,468,143,393,299,259,436,677,270,876,
747,985,295,961,983,338,148,548,281,515,029,845,873,470,491,250,253,591,778,
367,519,899,216,278,813,558,717,190,271,580,763,630,867,973,900,736,550,659,
348,792,756,294,301,504,797,841,837,820,274,095,210,988,801,850,079,725,031,
790,148,568,747,459,176,940,566,225,548,586,851,602,874,636,025,636,214,084,
997,779,585,708,640,617,485,941,160,718,727,425,545,887,418,757,652,967,253,
605,131,199,624,836,019,487,233,409,671,730,863,482,997,637,502,429,095,655,
468,881,267,404,829,870,207,036,261,148,251,513,868,709,743,795,659,468,269,
808,057,270,713,151,918,771,016,829,739,019,424,745,774,880,198,194,701,674,
102,956,401,104,996,147,074,739,424,016,620,990,213,852,950,192,377,798,528,
141,485,534,334,530,776,202,083,091,687,146,073,678,455,198,073,515,141,950,
786,718,630,457,083,608,139,179,611,790,606,645,587,282,865,043,692,042,160,
200,164,958,655,868,531,584,560,590,261,920,957,795,511,120,600,429,456,285,
299,731,710,268,394,715,783,540,474,615,249,577,228,575,383,078,496,714,366,
872,392,686,301,983,756,842,186,217,094,118,039,474,473,995,475,706,065,084,
717,601,904,523,682,205,113,577,547,227,732,148,457,663,679,149,950,557,501,
414,181,271,814,709,848,066,424,910,751,584,229,436,570,656,827,322,728,615,
948,821,730,826,632,583,537,069,153,796,572,733,459,785,172,625,967,303,450,
610,375,464,930,994,053,982,657,384,140,579,202,867,251,987,033,709,920,570,
973,827,180,660,338,647,551,880,655,468,360,763,559,819,572,553,262,968,971,
997,478,986,966,767,021,137,401,514,220,530,514,352,652,505,140,466,083,659,
256,431,486,608,336,926,163,989,716,838,210,258,884,224,681,223,190,318,880,
159,998,965,360,181,233,920,109,780,962,771,208,512,245,144,906,177,013,313,
030,451,544,113,239,887,471,498,817,311,293,939,955,748,440,202,237,260,083,
762,801,936,535,098,734,856,941,954,124,126,391,469,765,759,365,419,772,615,
521,093,079,706,981,165,121,528,762,589,957,661,165,979,869,120,046,817,013,
631,552,496,677,166,519,531,667,869,966,727,856,763,963,777,406,144,938,042,
060,219,958,392,527,200,959,669,139,337,596,546,081,289,085,423,697,461,450,
096,947,543,302,293,841,993,383,659,533,989,110,914,118,183,007,793,211,599,
992,758,699,310,775,071,031,313,781,240,395,407,921,898,435,756,639,592,505,
781,623,914,360,655,015,070,464,553,469,781,184,791,339,697,594,824,330,833,
783,826,083,030,395,974,084,819,515,449,031,024,477,247,423,259,219,345,445,
642,372,654,823,828,135,227,463,663,669,806,691,357,579,298,569,781,915,816,
752,029,972,665,080,776,877,993,151,001,961,530,914,225,908,445,264,541,308,
428,442,158,773,601,329,026,343,836,254,074,519,776,909,556,049,845,350,812,
772,512,711,912,848,897,485,878,528,029,928,614,724,142,809,243,511,755,528,
781,332,640,556,942,159,016,837,456,029,902,992,700,220,249,662,855,031,851,
949,515,775,770,565,320,689,384,575,839,575,099,920,037,311,557,483,649,743,
041,408,151,590,445,023,134,746,723,971,147,560,148,103,024,139,295,715,219,
551,124,539,733,907,234,532,596,194,521,047,912,456,002,205,323,690,038,425,
811,823,658,575,113,491,936,536,220,170,563,783,147,199,082,119,332,406,776,
317,627,673,405,129,474,686,002,000,825,017,583,010,008,884,371,584,618,049,
492,576,966,504,988,497,352,620,999,212,301,394,389,106,246,014,880,042,857,
508,009,493,525,327,238,026,007,641,582,454,336,473,141,881,182,746,552,806,
446,990,936,320,221,631,604,516,847,300,719,956,522,105,355,709,204,843,112,
659,507,222,987,885,659,745,482,211,271,241,606,028,780,504,828,590,395,187,
308,094,177,331,582,212,112,701,455,943,388,937,429,582,607,752,751,933,946,
284,366,661,499,650,387,441,081,490,935,786,217,628,344,498,664,150,432,937,
223,615,132,037,394,655,068,061,641,831,666,002,673,010,646,024,136,325,720,
110,992,381,289,058,532,192,556,922,589,235,362,841,063,728,849,898,081,398,
359,310,813,354,490,449,822,849,843,691,604,323,203,161,512,248,267,656,311,
343,789,906,374,838,753,875,458,204,001,305,481,170,525,376,296,976,317,630,
631,698,356,887,879,373,183,999,946,113,951,040,097,939,216,235,001,288,421,
136,115,177,438,040,845,750,819,081,324,033,940,008,418,403,524,374,129,470,
850,856,401,213,562,774,021,892,063,971,969,135,997,053,564,216,779,166,978,
831,559,076,287,697,600,236,960,199,786,210,553,564,035,485,243,551,098,871,
405,143,088,113,839,557,651,034,225,199,432,221,116,063,494,871,128,884,147,
980,959,647,376,379,846,901,219,200,930,541,560,324,304,779,844,226,251,327,
936,262,693,504,300,736,131,003,105,528,685,623,409,233,111,800,886,337,678,
624,791,730,359,908,648,457,406,935,316,881,616,325,043,984,698,234,266,325,
382,539,828,594,589,056,807,884,677,668,933,409,065,474,434,135,511,038,810,
293,045,653,870,679,415,386,287,414,105,189,067,092,668,719,322,145,579,357,
506,225,868,711,706,920,553,985,512,585,747,595,571,558,491,824,632,578,967,
230,306,075,932,050,158,925,739,590,403,892,505,155,714,777,596,644,011,513,
892,440,487,267,315,149,426,542,006,936,935,617,059,122,676,805,804,586,340,
819,301,472,851,224,728,511,599,404,056,283,813,220,878,149,631,700,845,281,
719,222,874,255,876,531,628,597,874,310,114,454,540,043,353,127,417,763,418,
057,173,915,553,408,663,376,401,312,245,063,680,651,300,360,692,515,448,138,
014,906,429,569,161,982,102,261,558,343,185,047,704,188,886,870,251,246,712,
755,637,782,118,139,771,675,419,813,024,397,337,207,365,890,739,578,210,521,
541,604,890,624,037,731,086,461,490,295,322,148,695,045,678,449,196,746,320,
309,183,768,964,647,256,595,245,186,473,200,118,460,357,537,091,408,629,826,
391,986,343,431,252,592,538,579,838,529,249,102,908,437,931,522,334,058,395,
436,411,055,163,741,368,814,214,753,150,286,096,721,037,772,011,899,966,258,
211,506,516,841,196,540,757,948,169,601,432,342,076,466,020,446,559,909,751,
547,396,635,002,481,297,988,639,593,308,827,789,959,909,561,889,108,725,693,
739,926,534,120,966,423,915,954,079,556,198,452,986,678,029,500,193,478,799,
514,965,814,056,426,334,406,143,505,436,089,897,248,521,937,505,832,005,823,
311,901,535,980,681,195,972,278,662,708,592,703,707,480,018,504,980,847,682,
875,917,743,857,189,781,093,217,035,037,367,885,437,018,884,509,411,019,248,
923,347,357,092,076,331,136,882,418,606,944,510,059,171,831,200,409,263,400,
485,544,788,653,776,429,371,504,912,641,583,954,574,569,312,766,518,408,616,
263,312,331,918,213,819,953,841,886,706,143,892,818,009,221,112,884,624,414,
181,132,233,144,473,107,776,129,944,773,470,570,380,239,943,850,361,452,740,
018,931,521,900,966,427,279,197,292,282,881,187,311,850,993,298,890,604,183,
609,111,510,569,646,011,357,672,997,102,910,544,968,373,567,169,414,004,725,
192,160,609,156,892,838,252,696,516,508,122,902,725,804,612,600,756,641,194,
123,750,711,404,494,752,385,297,178,530,977,815,286,633,717,956,792,847,524,
215,912,089,398,581,985,105,991,265,363,087,076,080,651,459,745,394,313,095,
569,985,746,475,394,344,118,561,308,001,251,981,009,067,041,839,785,997,948,
506,413,723,622,722,120,078,827,663,387,407,465,302,946,437,632,609,137,820,
752,185,615,463,977,925,103,257,567,647,192,157,114,766,153,434,692,464,647,
022,664,819,460,539,362,462,267,829,738,989,369,065,007,294,301,614,956,051,
455,160,456,664,882,171,810,129,466,434,399,339,411,438,319,796,292,622,196,
006,505,593,154,689,247,478,929,115,688,565,691,881,286,496,294,103,900,627,
084,078,405,900,345,868,000,489,796,616,638,018,128,762,399,800,972,400,654,
657,679,298,719,859,034,419,564,118,379,011,353,560,222,453,237,320,741,037,
536,990,763,726,032,075,988,528,780,504,102,548,657,913,075,014,910,857,189,
419,885,598,319,665,650,397,516,763,087,494,863,830,737,297,584,216,016,728,
431,319,020,149,398,358,362,124,163,509,533,970,811,186,658,144,739,165,047,
104,166,507,313,216,762,059,978,972,912,845,318,337,382,570,085,160,312,992,
911,727,759,326,165,529,780,015,907,554,426,057,189,170,443,867,249,893,948,
342,074,203,232,975,591,041,350,337,402,756,988,237,074,125,171,380,546,658,
517,971,924,388,484,926,444,692,546,836,703,804,289,531,226,956,010,651,454,
238,705,816,324,821,223,512,462,255,919,907,429,886,707,490,082,360,460,239,
495,652,782,084,148,819,082,955,159,816,111,322,546,954,558,549,635,289,781,
812,535,809,917,346,703,137,308,562,537,304,148,336,255,869,411,699,398,970,
947,785,046,075,203,049,803,473,686,386,060,085,478,855,774,864,000,023,550,
899,452,615,659,210,115,233,917,955,931,804,129,441,653,725,583,188,557,498,
580,639,869,417,565,985,423,767,250,844,166,864,279,408,108,922,149,533,448,
020,786,036,085,115,087,981,678,878,227,347,852,366,953,335,739,846,267,449,
417,868,810,006,963,059,186,783,841,705,467,068,601,381,762,023,531,791,903,
968,369,331,807,407,423,510,027,064,583,913,494,177,098,131,433,545,851,512,
544,553,871,646,980,072,608,807,189,122,601,266,062,353,662,372,152,633,104,
188,899,137,488,586,718,339,553,884,041,389,294,433,681,407,514,350,345,273,
742,408,745,959,817,787,042,924,215,184,718,858,353,889,427,231,438,410,555,
932,414,526,397,134,910,258,301,252,588,964,035,947,079,995,052,547,619,692,
553,135,812,473,079,609,381,632,970,012,258,492,695,991,658,052,769,002,034,
748,949,135,281,655,572,604,403,978,845,809,704,117,866,603,653,531,804,625,
439,538,777,554,440,241,766,449,372,286,061,247,801,120,282,931,907,968,362,
495,715,485,656,886,673,613,230,862,105,958,520,195,336,891,509,374,609,289,
233,413,587,528,896,580,882,220,974,272,706,973,092,144,393,628,990,099,068,
618,075,910,296,035,488,118,695,295,926,273,843,350,675,489,975,496,198,235,
291,976,513,722,569,659,749,849,745,210,468,025,020,874,692,024,371,441,759,
950,574,366,180,460,703,807,194,980,812,744,556,284,826,210,455,872,734,030,
943,944,228,990,236,672,820,112,431,631,118,322,536,810,876,854,725,360,393,
507,394,831,917,900,418,120,823,744,411,265,324,508,297,694,220,921,629,424,
107,303,030,612,992,418,273,267,612,476,000,832,897,265,033,739,213,991,166,
245,706,061,606,433,170,104,293,727,294,642,642,926,727,101,073,812,810,952,
238,551,563,222,078,827,167,280,841,872,854,122,062,030,834,876,131,745,300,
671,810,976,280,424,172,685,264,148,097,397,727,832,563,777,971,498,879,537,
781,687,151,153,897,993,094,275,471,220,759,647,285,778,619,468,938,646,927,
886,030,680,173,783,508,479,283,890,169,647,970,998,925,719,267,409,274,481,
565,468,157,131,053,977,887,316,900,778,409,499,607,630,401,130,366,103,979,
697,306,575,169,208,062,627,795,018,642,370,893,944,902,065,322,072,332,743,
826,453,449,309,148,603,406,456,488,969,569,758,029,097,043,494,304,892,323,
554,408,717,318,065,257,984,270,750,870,311,866,095,682,968,741,306,217,436,
378,445,150,768,132,304,576,349,566,415,668,037,295,492,913,809,112,622,989,
689,493,923,305,810,996,468,330,713,093,322,994,163,010,013,865,720,678,778,
350,581,661,418,800,654,782,149,063,344,066,441,128,051,512,665,148,640,559,
819,550,798,095,165,758,218,541,019,077,840,220,018,773,705,024,954,796,923,
988,060,179,406,737,855,621,646,504,326,053,338,830,524,653,893,764,915,327,
226,223,644,109,911,233,575,373,011,208,149,078,447,146,809,250,172,965,258,
186,752,519,833,498,605,126,030,530,234,426,723,824,977,304,655,022,809,196,
101,120,169,957,379,624,013,959,648,063,390,054,897,997,435,624,613,285,368,
204,709,529,707,272,758,271,637,003,794,980,992,694,613,275,497,851,629,334,
276,829,492,993,908,937,246,591,310,568,917,717,991,760,146,729,135,740,828,
943,740,009,722,266,533,996,194,589,368,066,118,286,122,904,001,042,588,711,
948,740,769,912,464,829,381,754,201,053,674,040,544,565,215,322,667,909,728,
505,058,478,884,744,614,647,455,680,038,225,405,406,298,151,869,405,375,624,
524,892,562,450,182,946,760,258,951,106,785,599,157,337,825,641,364,103,050,
687,749,147,854,000,869,830,092,024,111,583,465,451,034,388,497,509,966,813,
509,365,771,548,959,229,882,653,170,504,596,377,310,429,220,867,437,638,640,
854,207,173,223,057,550,766,918,971,545,143,825,592,419,748,603,634,987,953,
055,113,137,023,400,393,657,196,088,822,765,016,339,914,329,725,256,008,993,
523,965,550,210,543,947,268,051,544,549,020,638,753,974,798,451,168,292,236,
922,262,423,910,611,631,544,613,462,938,191,296,770,933,780,205,356,904,128,
853,178,122,708,737,236,533,012,188,287,763,617,295,369,511,040,647,294,154,
185,827,595,767,376,195,432,196,609,454,969,112,710,263,797,418,624,037,137,
077,705,086,185,697,665,278,040,733,180,290,763,899,645,067,655,693,986,785,
261,138,063,825,916,206,012,218,041,292,659,859,705,022,051,633,771,903,346,
873,849,206,349,381,049,694,151,774,318,880,252,885,566,840,356,653,198,180,
577,285,093,754,761,994,084,083,581,245,099,328,338,050,846,655,532,529,034,
435,536,238,653,033,823,820,691,023,728,382,168,629,822,675,520,462,721,737,
097,503,197,861,570,963,949,470,109,310,595,894,484,104,411,181,584,573,587,
881,920,270,543,086,812,573,790,797,244,928,786,987,491,083,475,404,645,269,
113,943,709,835,461,773,014,539,570,690,366,071,863,197,290,586,019,793,033,
004,450,253,115,623,489,669,332,995,028,310,968,190,866,945,410,678,041,300,
846,917,650,762,333,312,266,990,365,218,265,999,331,627,925,179,956,702,741,
884,866,006,471,993,487,263,266,993,064,787,641,361,359,054,091,279,148,886,
901,977,050,500,693,449,297,750,578,052,330,251,258,555,708,925,137,287,146,
205,062,124,958,601,108,918,108,286,768,645,330,202,968,894,346,401,105,215,
320,137,034,905,911,322,430,749,964,239,099,416,965,093,937,775,423,732,930,
490,280,682,278,492,106,980,355,540,643,262,850,222,379,280,828,056,345,332,
070,327,058,303,225,599,765,607,835,264,738,493,339,453,356,306,333,246,774,
267,853,265,785,305,604,724,622,531,854,272,058,906,913,938,821,101,439,689,
426,785,785,898,565,549,312,332,197,163,671,894,906,858,980,407,529,321,118,
883,275,467,405,553,343,722,450,265,353,565,068,280,447,307,918,015,708,335,
125,497,368,004,856,945,567,528,945,413,160,842,506,904,102,417,249,302,369,
065,174,194,691,505,637,158,118,882,162,960,292,048,423,124,844,293,269,861,
542,475,644,996,925,371,288,360,298,697,877,886,914,833,834,395,511,125,209,
331,028,734,711,014,452,911,012,354,150,644,599,755,570,049,116,486,861,786,
890,539,428,857,891,804,046,014,603,713,889,978,983,295,052,088,460,099,895,
533,251,452,231,720,601,808,945,538,651,340,875,048,870,754,534,574,440,922,
105,354,274,743,561,672,018,855,701,323,456,638,112,050,884,529,685,249,067,
086,027,184,564,937,332,376,043,664,705,460,503,436,966,013,438,344,476,558,
851,820,227,213,348,665,194,703,558,097,908,848,345,849,583,694,342,120,683,
558,201,877,694,601,291,482,533,933,206,722,760,810,347,096,479,103,233,601,
680,284,277,058,316,444,555,147,210,312,275,813,989,329,418,842,884,824,327,
467,058,616,902,765,909,044,333,574,752,308,099,278,401,646,644,468,334,092,
512,263,743,495,386,655,451,902,732,839,487,209,025,883,577,099,708,995,426,
214,436,965,185,869,108,242,050,271,966,478,597,614,642,937,993,096,189,111,
781,836,092,503,395,059,225,470,342,771,447,422,774,930,361,994,629,459,413,
822,835,508,043,797,160,591,833,906,143,839,117,514,093,592,573,232,338,815,
480,544,913,971,172,380,194,458,122,797,818,912,206,791,406,589,765,457,179,
112,385,090,118,674,028,420,190,455,652,613,164,744,241,236,596,404,811,919,
577,523,724,644,727,245,220,082,910,337,798,392,740,254,421,098,749,357,429,
636,302,825,658,984,972,508,460,289,802,135,851,839,571,069,882,383,447,555,
257,974,283,330,226,917,473,529,003,378,315,119,777,110,165,968,006,886,301,
437,426,332,189,928,633,286,305,720,995,680,494,748,573,005,204,547,422,132,
975,776,248,126,165,106,152,937,385,652,159,555,761,730,213,925,822,154,823,
677,044,526,818,749,431,904,004,709,065,711,837,192,157,385,701,238,220,405,
044,789,375,623,354,284,122,844,726,844,854,215,375,017,793,763,532,681,266,
691,270,171,364,116,759,812,181,424,022,042,834,759,947,192,264,467,103,710,
258,495,863,887,632,801,577,806,433,038,835,814,910,339,659,571,407,107,894,
445,227,166,582,430,691,190,261,648,657,508,055,032,989,970,437,594,538,582,
176,899,171,510,029,982,282,687,530,956,416,783,870,777,711,759,903,502,510,
177,584,572,013,697,453,399,340,990,311,585,537,268,901,776,594,527,933,105,
762,847,294,809,223,481,844,135,194,573,758,456,249,022,179,392,878,329,615,
831,930,558,132,128,723,426,116,926,432,681,352,265,070,474,812,141,906,743,
041,784,283,293,289,060,698,706,276,184,703,422,188,032,539,769,222,712,638,
279,741,040,992,784,867,204,610,348,081,120,696,356,816,525,651,267,984,715,
902,033,902,098,329,217,079,874,743,931,535,869,953,921,192,244,667,811,950,
710,095,052,159,996,488,636,861,563,881,115,577,084,369,333,978,270,692,064,
124,434,942,879,878,156,764,342,821,854,638,068,122,062,100,724,065,250,730,
111,007,132,687,326,495,445,671,962,853,283,580,455,204,703,333,113,828,283,
454,161,373,955,204,527,985,910,923,369,099,628,117,369,571,880,782,518,385,
556,813,140,815,715,267,705,420,531,426,244,704,370,275,609,579,830,202,149,
790,939,511,803,672,066,825,445,024,028,962,478,121,051,617,093,559,819,492,
255,205,297,927,680,234,855,068,235,502,115,001,655,247,887,643,896,184,850,
357,354,448,400,645,236,526,196,816,228,072,439,278,669,233,131,219,449,133,
296,661,177,995,638,991,401,389,636,967,698,749,009,564,729,952,476,601,113,
860,284,334,779,251,602,369,096,030,007,033,450,347,101,402,859,191,078,831,
379,364,800,839,356,337,357,160,078,403,596,784,513,907,831,108,832,207,902,
900,148,105,490,257,571,800,061,940,789,872,325,396,318,225,377,844,310,528,
930,076,074,157,535,550,934,268,811,718,308,036,300,375,631,074,844,247,941,
606,479,599,138,367,289,375,683,382,212,100,186,327,125,055,129,492,218,850,
759,372,228,288,792,550,889,596,960,216,908,267,501,743,163,244,002,809,519,
679,190,821,729,317,230,909,535,604,132,301,042,643,314,451,027,539,673,478,
617,736,656,765,380,813,336,558,414,796,418,944,095,753,870,850,722,014,755,
539,238,055,762,746,806,136,247,329,912,717,119,873,741,696,474,821,416,253,
847,331,413,900,030,681,809,994,295,924,949,878,335,610,692,315,166,271,097,
169,848,908,908,072,216,397,720,722,730,479,661,320,468,920,395,149,023,227,
343,829,390,175,437,271,956,622,738,971,407,185,153,376,775,903,010,320,634,
414,212,534,999,638,924,158,850,461,160,922,480,156,916,368,734,167,244,222,
852,938,652,357,651,920,379,573,450,923,110,143,291,124,824,241,174,501,197,
222,894,862,347,552,228,483,829,464,790,166,711,810,522,898,943,360,982,510,
742,118,452,889,842,111,244,661,922,995,313,992,987,870,600,441,087,602,564,
852,564,707,650,644,911,045,994,846,723,583,475,796,133,569,003,329,385,837,
925,529,964,723,217,538,271,348,694,384,322,608,012,797,207,114,257,240,214,
289,433,092,867,746,894,334,713,567,182,631,485,461,354,868,239,347,148,840,
609,955,796,495,926,822,103,064,891,936,958,483,503,831,765,745,703,143,106,
007,545,646,514,144,557,874,128,699,638,872,724,848,831,140,388,854,841,566,
438,322,320,606,460,293,187,051,188,422,641,499,110,869,503,753,280,183,127,
105,526,373,583,840,606,868,780,872,146,159,896,932,051,118,143,380,748,322,
998,449,841,209,778,204,677,406,242,889,363,945,331,892,919,983,229,481,269,
687,367,924,733,741,846,316,323,728,711,388,315,633,565,023,461,900,233,522,
157,859,950,889,344,975,914,106,918,490,393,155,871,625,371,553,997,841,916,
085,598,575,512,328,827,646,744,156,293,462,021,153,132,081,923,564,453,859,
177,077,255,627,440,242,364,535,689,686,979,136,514,263,455,026,772,496,812,
454,321,335,489,622,984,866,531,289,786,756,692,373,068,490,308,231,043,826,
366,483,623,984,823,145,756,360,092,972,189,064,036,783,780,650,613,271,217,
860,286,034,183,257,370,964,438,245,632,267,275,308,096,693,703,148,587,203,
297,508,017,359,026,855,752,023,473,233,416,616,095,828,767,487,119,937,252,
670,472,255,130,746,279,997,816,320,229,956,162,923,766,063,105,141,063,074,
269,087,042,068,823,987,623,659,591,018,807,486,907,150,728,800,329,638,506,
337,969,266,067,499,771,770,358,126,570,637,544,828,740,398,689,825,428,939,
321,934,960,919,151,048,242,594,054,525,573,027,948,257,900,671,667,924,978,
847,428,266,098,729,265,362,167,568,413,338,367,863,408,879,289,246,978,046,
067,705,100,530,864,053,802,785,756,341,420,823,167,893,124,895,963,452,920,
416,997,584,044,914,397,276,089,038,595,339,466,168,689,975,954,101,053,028,
245,263,660,458,873,032,559,420,548,659,096,023,984,005,802,622,370,112,290,
894,552,797,079,280,606,725,971,761,403,190,856,169,802,695,339,202,181,309,
961,327,329,877,660,981,982,231,788,310,859,628,959,927,081,521,125,546,771,
497,998,809,631,670,904,656,258,099,416,200,039,531,497,059,098,264,418,412,
435,707,460,963,864,416,126,125,553,840,431,432,640,137,328,938,734,487,772,
683,345,496,178,955,576,940,976,799,864,125,146,404,285,666,764,150,850,854,
144,396,741,307,215,113,417,628,099,897,134,174,553,309,819,445,758,568,682,
651,336,957,002,587,325,029,823,331,634,251,875,730,386,954,875,416,771,775,
468,557,511,318,491,599,280,260,420,876,671,608,748,803,152,002,982,493,570,
872,671,180,937,918,270,061,011,988,218,985,566,255,420,762,801,221,281,580,
351,752,524,881,859,493,600,354,605,040,777,327,886,731,094,373,328,848,400,
338,963,015,917,308,187,565,960,184,125,759,232,075,257,500,427,998,448,276,
771,341,070,411,719,317,868,235,415,171,384,531,060,188,050,722,500,377,391,
210,248,832,915,695,090,222,848,310,640,947,705,075,643,068,545,024,073,368,
914,254,387,874,222,484,917,212,502,395,297,626,363,768,985,478,160,466,359,
346,458,356,520,231,727,988,767,844,940,662,783,345,610,786,802,136,229,870,
075,572,978,362,352,431,811,485,785,577,423,130,293,897,725,593,424,532,344,
686,162,616,218,484,645,210,860,036,815,471,337,520,835,421,602,977,766,724,
087,923,727,469,226,341,858,468,276,946,290,905,899,401,606,430,746,520,458,
322,726,912,875,036,732,175,294,369,524,842,214,265,681,772,843,095,516,954,
381,416,066,035,681,330,063,920,699,918,017,311,223,465,546,287,436,393,539,
900,052,154,456,987,314,461,533,589,360,769,992,785,240,134,110,620,362,731,
957,111,438,902,577,710,305,047,053,509,510,148,432,575,969,532,555,548,817,
608,130,326,827,055,779,624,915,093,253,702,409,539,771,664,468,756,412,703,
632,217,275,002,636,514,793,170,467,996,511,687,616,531,950,403,254,249,241,
819,193,287,361,732,944,346,202,627,440,279,684,477,779,052,017,305,495,501,
475,243,239,919,226,439,354,485,244,567,955,716,515,723,882,143,079,232,286,
537,292,982,654,163,455,607,709,716,163,562,771,482,922,671,072,257,600,061,
915,857,016,369,229,954,804,728,982,703,478,493,907,557,640,806,651,780,220,
350,891,913,402,910,101,117,403,464,397,600,861,604,157,390,683,247,315,222,
260,876,358,811,403,179,362,725,427,870,781,332,732,030,051,919,846,486,803,
992,456,634,765,296,464,305,898,800,008,001,443,760,570,306,261,116,327,160,
714,909,201,507,144,945,273,034,685,121,319,700,612,472,996,581,973,824,487,
690,880,314,346,507,032,968,051,499,464,290,016,412,288,896,853,814,314,356,
318,647,113,284,634,972,095,301,993,235,109,864,590,207,328,994,321,230,644,
367,931,579,087,053,100,825,511,787,927,627,081,447,356,518,544,796,944,140,
872,550,908,367,071,576,855,654,547,002,622,587,329,822,833,263,615,679,424,
738,468,585,273,034,216,984,221,546,356,670,917,684,962,438,334,807,178,174,
250,848,085,357,834,013,016,694,790,672,458,971,178,078,094,207,047,340,162,
591,042,008,865,525,512,869,731,084,025,309,940,394,932,475,661,223,011,539,
924,417,709,829,797,718,268,610,911,785,351,350,315,497,402,510,641,923,201,
508,589,883,822,413,333,295,227,071,070,328,646,317,459,200,005,513,345,445,
253,965,176,977,086,634,171,138,000,589,843,005,973,922,829,032,296,923,427,
758,074,570,860,543,518,590,244,393,232,888,600,587,968,159,083,482,819,375,
455,794,642,271,641,620,322,041,370,645,726,975,484,088,632,865,514,208,543,
902,107,435,545,064,099,001,160,682,766,594,376,133,976,389,100,799,456,453,
145,621,247,706,400,617,878,744,428,819,487,818,596,888,937,101,223,567,897,
416,537,890,345,955,061,899,992,467,777,107,644,275,318,437,940,178,290,623,
261,532,138,340,447,383,838,667,500,980,673,613,134,477,282,420,027,989,047,
208,513,918,003,663,161,015,619,526,198,846,686,465,916,334,918,666,784,161,
499,697,767,084,522,598,186,552,014,784,210,374,598,799,161,159,457,533,321,
368,118,014,512,959,065,135,347,969,337,993,572,927,273,118,806,122,664,443,
607,909,509,054,950,877,108,311,270,011,640,788,793,272,132,101,302,751,870,
845,592,537,672,556,488,174,667,387,318,006,857,128,507,379,437,007,329,432,
780,763,277,910,085,766,097,711,826,261,713,431,737,307,277,235,172,843,296,
037,096,293,832,406,981,358,892,794,907,037,633,695,987,571,466,078,252,603,
807,910,062,994,002,592,683,171,577,096,344,584,095,744,170,932,742,113,994,
592,010,503,310,941,980,912,061,009,157,125,171,703,722,936,714,416,265,262,
804,073,651,198,101,154,652,187,897,864,855,713,044,336,852,261,583,507,703,
787,629,746,368,074,394,882,989,523,581,262,503,087,935,351,596,145,570,887,
073,782,562,132,946,746,681,423,673,968,965,215,963,677,720,890,076,022,350,
381,931,959,331,404,895,246,259,427,072,054,400,099,926,213,029,765,029,853,
354,957,990,035,760,808,130,995,349,481,260,250,545,560,803,560,003,701,853,
318,557,889,314,080,621,381,231,681,749,392,996,693,764,199,635,204,325,065,
914,906,742,121,949,108,598,022,493,608,019,064,846,577,197,654,245,743,209,
060,141,660,770,847,039,266,151,406,550,912,915,458,145,354,090,989,975,238,
021,885,246,076,525,423,785,368,813,729,947,234,550,679,871,410,782,840,443,
615,144,090,302,777,413,609,079,474,272,346,171,768,863,681,107,002,527,704,
795,866,345,747,493,360,823,831,532,657,409,835,545,142,650,450,650,967,888,
318,462,609,483,248,819,208,034,663,547,248,841,043,577,614,585,779,007,283,
264,201,871,979,759,087,553,751,667,929,352,657,397,903,998,498,516,003,163,
597,617,811,912,191,179,399,554,190,320,827,278,813,393,167,569,230,130,976,
899,714,990,049,665,868,293,836,930,371,597,831,820,759,259,505,429,412,667,
596,731,281,733,045,713,763,528,122,704,197,209,971,533,526,734,303,320,160,
181,974,139,581,675,381,467,605,560,982,118,158,660,205,163,852,623,995,541,
318,235,169,067,210,654,653,646,719,822,043,132,912,577,982,334,552,509,309,
639,438,227,467,642,591,723,166,338,363,948,079,422,493,069,299,321,250,100,
135,055,226,206,093,999,124,822,337,263,547,862,222,905,496,769,181,347,312,
587,344,437,949,153,168,484,498,727,016,679,775,138,824,078,513,554,613,498,
167,020,564,080,126,609,274,366,107,140,025,820,270,503,157,592,885,806,325,
972,500,126,007,773,727,635,964,186,934,846,911,537,562,652,239,281,777,248,
423,097,124,676,307,939,470,731,316,142,045,104,115,387,231,405,796,882,062,
812,628,601,041,274,474,593,277,048,934,842,228,227,956,824,954,428,433,303,
507,053,466,340,196,845,774,724,424,411,723,661,805,915,262,575,461,166,550,
639,437,558,937,785,711,843,844,753,917,062,504,327,848,534,111,201,855,056,
074,453,248,441,603,620,040,844,737,497,433,597,377,418,543,405,160,037,950,
187,045,908,588,270,342,434,572,706,358,826,978,962,113,000,282,547,045,806,
367,304,306,636,818,387,160,848,974,822,709,972,532,081,983,937,563,257,899,
336,341,071,485,462,206,463,975,597,292,570,986,426,987,535,985,693,302,536,
010,072,407,478,842,056,982,848,511,028,798,566,655,239,024,366,350,788,471,
243,941,290,593,395,118,646,445,786,055,022,833,644,975,461,850,080,410,134,
293,779,160,780,905,757,148,218,850,778,490,738,090,037,389,306,203,002,664,
772,782,001,153,454,495,540,845,434,695,798,681,543,005,851,735,392,303,389,
475,581,148,979,993,717,942,536,239,993,079,342,932,714,293,940,696,691,730,
021,355,796,331,748,083,465,941,626,308,962,615,444,714,631,088,979,666,984,
840,491,793,878,524,530,308,237,326,267,114,811,504,335,977,305,720,508,636,
746,372,704,426,909,884,694,268,156,422,649,540,821,609,803,659,663,597,067,
814,849,597,238,290,419,726,419,956,023,842,396,186,708,820,320,250,195,535,
564,462,394,508,101,292,566,983,287,919,283,240,376,629,150,812,441,917,458,
899,936,918,903,817,685,693,217,757,813,293,122,696,369,901,396,787,005,376,
205,549,353,112,221,019,404,782,601,379,822,809,385,316,749,835,894,287,752,
749,147,338,891,642,785,491,144,936,294,752,722,401,871,498,930,978,357,135,
350,491,535,368,751,450,112,717,765,920,798,004,043,048,094,022,452,213,160,
911,910,398,395,804,806,332,516,506,445,138,686,921,267,713,945,952,371,404,
263,319,360,263,674,881,877,387,871,099,195,256,252,121,870,985,753,189,443,
351,893,188,707,214,299,124,582,686,938,200,907,888,036,017,223,632,617,578,
072,950,258,040,684,947,364,044,169,765,988,114,502,710,574,560,418,811,909,
495,519,160,530,987,998,612,490,473,774,356,212,102,842,309,390,656,419,721,
163,471,273,636,160,523,903,260,205,895,361,181,857,378,696,419,585,770,403,
393,197,156,431,872,153,461,561,374,444,524,852,963,126,261,137,635,553,870,
314,404,002,118,712,427,919,720,024,225,473,547,280,276,556,897,239,911,749,
238,035,427,832,379,004,105,185,125,212,148,741,795,152,528,114,468,244,883,
548,597,272,255,271,237,884,677,676,185,081,516,581,972,485,052,655,086,375,
382,168,171,459,233,053,265,543,943,230,258,089,423,148,495,318,683,472,606,
654,343,982,391,631,588,029,817,612,380,284,756,929,651,008,868,149,995,255,
124,569,070,456,576,545,591,833,059,710,088,360,927,716,275,720,041,510,983,
772,929,749,952,694,565,114,947,393,474,845,245,803,081,305,195,349,477,872,
043,779,937,034,084,069,719,352,572,091,637,241,229,889,080,662,977,492,541,
874,731,670,489,361,808,981,949,737,985,235,020,278,212,881,963,534,113,065,
275,144,592,875,222,275,195,870,211,988,059,785,570,502,992,536,256,627,493,
869,754,346,618,283,125,637,977,251,587,322,616,924,162,317,571,777,446,559,
278,828,695,219,171,782,361,212,200,319,667,878,346,867,894,223,435,096,654,
869,538,477,542,100,693,767,211,573,528,524,587,333,300,941,491,655,870,264,
257,902,092,327,519,848,580,310,652,585,121,451,771,089,674,931,106,872,176,
101,266,828,210,391,808,820,104,772,597,939,006,092,868,467,027,748,998,270,
698,603,336,200,027,086,003,121,193,498,940,748,037,271,108,116,565,272,493,
699,116,110,596,991,344,840,392,332,340,531,146,400,098,834,049,425,363,969,
172,556,452,686,666,939,668,767,846,228,384,395,122,559,970,801,478,416,401,
691,361,256,573,889,740,926,254,879,904,336,791,189,041,874,024,111,718,895,
510,722,310,850,726,608,794,511,277,229,189,507,392,427,902,122,665,651,509,
314,715,162,017,704,040,205,201,211,762,149,513,875,849,016,622,090,037,450,
943,680,111,120,729,735,949,217,898,782,573,546,368,669,460,859,758,875,034,
052,427,871,483,834,748,984,298,394,133,303,670,667,597,480,409,519,136,435,
780,913,501,102,300,479,066,135,217,568,180,707,914,221,332,558,022,118,384,
211,782,980,125,069,178,078,239,875,012,572,305,660,721,001,000,744,941,341,
021,751,188,252,163,206,634,531,079,825,371,384,514,941,260,573,925,563,890,
160,484,939,577,711,125,667,717,908,591,572,063,620,513,864,082,383,666,415,
295,228,158,727,912,056,179,513,688,825,923,802,375,168,831,639,900,424,460,
896,886,348,869,030,673,778,252,834,645,109,728,788,056,228,491,602,786,195,
604,355,930,350,126,457,202,940,650,777,697,034,352,067,755,028,826,694,953,
288,429,262,396,171,989,091,080,076,769,789,657,821,702,046,680,010,355,381,
921,700,994,785,257,993,010,274,523,441,437,862,281,861,484,797,436,489,568,
229,534,538,430,069,073,849,830,085,965,929,538,446,937,249,783,360,471,717,
725,280,096,617,055,917,535,990,842,493,438,703,471,947,531,210,085,755,901,
478,058,363,187,457,642,375,751,311,208,231,004,176,354,251,412,046,691,351,
041,742,949,352,059,200,874,970,998,975,860,127,370,931,197,070,656,567,113,
221,810,146,994,305,585,430,419,131,811,716,835,672,715,441,242,914,617,711,
993,630,007,297,303,997,073,518,317,358,189,129,727,802,655,139,812,038,297,
057,356,253,963,747,970,149,396,923,712,699,350,071,565,714,529,185,762,245,
250,613,235,969,730,715,104,610,115,151,802,272,552,462,897,209,893,870,504,
077,566,774,933,940,725,000,628,895,315,856,846,540,733,930,771,412,073,983,
130,812,716,905,895,571,043,050,453,156,491,363,647,945,347,961,241,455,180,
376,712,036,497,552,941,995,625,508,239,774,300,385,155,472,412,596,795,906,
099,486,155,873,599,494,100,960,552,196,622,904,554,483,463,695,839,402,104,
236,704,785,206,276,137,528,353,828,801,253,434,885,594,604,513,107,081,535,
147,521,795,320,396,458,942,097,776,618,035,969,593,227,125,751,005,493,891,
762,457,532,233,922,979,512,284,538,204,455,407,177,571,557,533,743,542,444,
599,546,667,727,240,220,296,930,377,811,406,196,215,227,956,522,216,654,000,
287,741,805,501,107,774,199,215,220,821,880,853,578,679,831,531,131,401,012,
128,091,038,731,573,670,735,051,677,534,536,617,034,438,083,405,323,530,308,
832,384,977,145,232,372,766,781,809,170,982,116,737,695,817,689,167,613,163,
607,047,812,696,842,655,843,399,968,586,033,198,479,771,705,043,019,749,105,
072,929,090,953,233,664,492,305,283,983,205,570,381,997,414,658,354,784,088,
143,071,490,257,323,876,212,263,978,608,241,816,478,189,969,232,091,290,618,
037,461,752,175,762,225,649,127,013,477,330,736,213,688,185,918,186,739,252,
581,062,301,684,515,145,024,954,906,688,475,948,196,280,176,457,783,862,863,
724,261,316,428,654,020,706,220,642,786,201,284,134,006,756,821,039,841,423,
817,971,572,360,132,543,436,781,456,660,256,408,636,579,573,345,451,461,444,
694,989,386,750,793,248,433,182,351,527,796,496,295,221,806,825,046,261,628,
384,536,386,893,285,586,532,965,059,544,073,094,632,003,011,426,359,240,252,
140,920,575,474,198,428,169,278,234,518,930,323,216,406,139,645,303,984,715,
576,948,926,986,825,333,945,056,136,706,667,030,640,472,886,687,826,575,520,
256,689,680,443,008,007,817,727,929,356,990,976,674,674,113,659,518,711,958,
611,276,739,233,270,415,691,353,618,173,740,703,103,755,629,250,053,009,998,
399,423,702,035,294,776,364,995,153,622,487,789,354,905,247,348,603,685,731,
208,622,395,873,928,251,233,637,545,920,144,104,541,574,259,394,539,223,023,
135,029,657,235,472,756,587,788,863,026,463,757,725,435,059,663,878,690,861,
821,588,119,396,455,085,741,765,128,574,131,434,519,324,798,325,953,314,140,
428,979,854,509,878,634,705,371,405,166,013,544,131,743,499,880,168,894,130,
446,190,714,796,708,233,770,006,717,853,657,685,408,672,763,579,928,674,866,
530,766,928,703,794,867,038,811,662,952,115,753,970,393,973,490,198,265,352,
197,553,565,472,760,810,460,259,886,236,694,716,494,814,470,877,544,800,620,
115,405,749,914,817,817,442,118,073,467,455,937,227,195,589,334,736,419,374,
138,745,708,224,170,958,678,803,940,540,506,469,263,692,984,601,644,293,060,
978,554,184,088,746,529,250,000,498,868,242,046,230,483,275,309,534,828,785,
951,478,774,858,786,995,235,044,976,509,669,812,885,280,403,257,104,370,170,
328,306,444,855,188,321,413,616,557,304,564,759,033,121,716,435,231,814,688,
190,103,140,383,286,313,409,574,092,756,879,209,916,232,327,639,930,004,155,
719,653,031,122,961,556,977,704,255,226,644,700,155,994,068,734,848,066,434,
253,555,265,968,463,695,719,874,801,671,456,716,349,079,853,648,314,843,666,
179,654,905,635,238,692,935,891,332,000,408,513,562,334,603,091,465,539,877,
586,725,765,290,186,605,079,826,785,064,648,248,042,238,166,468,004,348,309,
571,494,727,986,313,434,816,376,479,565,763,830,865,701,883,469,213,131,498,
995,872,561,277,943,696,287,679,986,432,989,441,234,993,386,774,099,159,945,
741,759,638,203,151,619,341,368,086,710,274,775,850,926,492,969,908,356,635,
648,267,464,185,713,775,311,767,038,622,687,435,248,654,033,426,125,610,218,
488,725,123,303,405,100,910,054,662,058,754,176,129,435,591,271,343,845,049,
609,953,559,603,817,161,966,929,505,814,990,975,126,501,188,554,532,754,236,
890,288,871,622,988,109,447,335,560,238,177,463,482,590,782,809,281,351,779,
667,277,128,616,997,840,359,684,011,570,664,345,966,135,936,357,714,528,417,
337,766,779,996,274,074,561,523,517,292,107,845,464,306,469,284,121,511,035,
277,588,570,465,535,600,929,748,480,545,797,881,486,858,002,272,535,024,722,
232,506,178,907,542,673,775,258,090,286,416,763,700,061,655,123,829,071,347,
348,717,308,997,660,255,774,565,905,022,375,814,258,571,424,899,780,294,625,
354,605,881,921,060,082,362,957,542,392,703,553,770,724,520,062,055,426,875,
489,386,901,744,712,031,270,031,654,188,007,374,547,935,271,587,441,698,111,
052,744,702,938,067,629,213,966,631,171,201,931,898,637,145,615,113,054,890,
350,906,348,739,325,305,689,384,313,338,659,754,856,849,573,120,830,888,110,
486,378,465,430,358,279,958,530,515,826,026,333,555,533,120,385,915,722,841,
711,073,682,570,144,203,570,422,499,287,283,035,117,623,131,115,803,851,398,
827,176,585,685,781,531,817,379,274,253,854,105,292,230,171,843,734,230,719,
968,679,043,129,401,745,537,385,675,338,438,809,787,126,967,112,765,390,293,
769,411,186,844,368,511,809,977,666,695,207,976,050,084,092,671,540,170,297,
078,782,904,996,380,596,364,581,567,104,216,676,432,891,962,069,103,534,114,
935,923,638,076,953,629,788,429,704,989,424,581,507,738,351,718,385,494,774,
829,043,935,570,368,497,346,029,796,797,142,795,222,250,209,423,732,569,937,
233,989,477,867,699,830,390,027,471,091,749,314,768,561,551,787,052,404,989,
356,922,915,636,800,902,521,715,946,809,558,646,260,853,837,448,415,806,855,
649,207,277,909,462,116,374,414,279,619,240,614,727,886,329,631,330,274,907,
796,728,518,249,439,296,926,790,288,669,999,253,729,744,507,405,536,818,353,
921,278,985,501,032,309,599,093,207,079,242,696,726,115,539,191,868,434,447,
659,113,283,648,950,900,619,837,600,152,307,444,216,259,100,704,363,805,634,
256,089,950,721,349,016,997,136,306,470,611,798,688,798,246,569,979,232,219,
150,641,386,824,397,413,982,549,569,032,923,974,893,832,530,692,901,999,604,
183,040,943,982,200,586,982,206,878,432,706,276,137,553,058,627,235,983,374,
014,895,523,298,975,773,139,805,928,934,428,334,572,614,980,482,479,875,452,
137,593,669,652,767,570,905,094,776,335,117,115,546,589,426,705,997,738,457,
824,993,322,747,539,682,494,280,073,843,758,265,090,708,174,421,234,322,632,
850,572,145,140,911,847,750,474,168,943,915,548,051,319,383,546,294,860,356,
374,308,056,909,506,677,501,709,485,760,110,234,061,453,714,128,060,743,480,
859,920,476,322,735,058,855,986,195,909,857,968,278,613,721,354,117,874,661,
071,777,368,783,105,343,011,856,500,067,297,337,176,681,216,805,342,675,015,
550,981,759,766,221,834,126,410,570,636,347,977,649,797,552,918,498,154,777,
610,675,343,346,961,248,023,460,459,213,003,162,093,281,825,126,800,617,515,
269,139,780,896,512,191,254,242,887,082,276,035,531,796,117,333,740,925,342,
309,542,461,087,404,657,216,091,558,476,633,079,585,750,734,192,837,875,812,
814,918,984,173,100,131,047,113,028,032,297,933,474,581,089,231,939,983,646,
574,481,771,294,097,944,328,042,608,994,262,611,949,291,662,189,820,291,675,
333,570,393,998,567,182,380,174,498,202,683,022,811,266,147,127,469,686,583,
783,612,838,812,012,059,412,440,568,797,719,611,235,138,408,599,521,086,695,
983,913,404,120,359,291,623,636,642,673,938,053,130,911,544,873,797,253,847,
951,147,686,651,763,092,389,744,634,663,188,252,061,302,543,449,431,803,184,
661,261,871,326,465,162,024,442,192,575,668,841,686,060,816,620,786,598,244,
545,568,686,058,900,371,585,917,263,126,287,347,225,749,477,288,189,465,219,
320,935,886,438,146,912,863,609,717,405,813,404,244,964,826,442,569,791,759,
243,244,253,548,141,690,389,179,841,944,514,309,651,884,216,804,521,015,654,
668,886,467,585,530,091,009,207,842,530,229,489,394,115,846,538,737,725,494,
921,081,301,262,216,341,683,063,005,791,398,750,987,475,697,658,309,436,212,
967,326,448,579,746,063,474,525,281,826,723,263,305,606,548,413,494,317,464,
764,600,546,716,818,327,453,028,943,400,556,206,769,867,818,533,503,838,188,
613,271,745,346,381,453,494,660,991,676,441,400,297,184,509,859,128,355,412,
552,539,090,943,414,230,291,311,815,144,971,495,590,014,845,069,279,282,153,
565,056,471,483,622,571,547,475,322,299,580,402,994,034,248,603,097,727,682,
234,979,867,971,465,743,192,429,692,426,958,993,948,810,940,877,134,157,277,
615,462,562,734,834,092,842,917,288,294,849,466,201,420,360,889,961,238,523,
810,060,241,568,963,558,941,625,252,375,513,371,951,402,005,947,624,750,937,
516,937,086,404,039,031,890,070,255,795,216,072,585,298,965,548,787,092,062,
261,839,359,756,671,824,314,375,129,262,645,294,648,266,306,361,816,322,476,
614,143,060,832,925,894,115,899,907,665,403,055,653,082,496,665,655,631,193,
072,122,555,179,133,149,468,724,192,292,471,976,504,317,431,730,568,912,336,
332,811,027,335,281,885,859,972,808,811,971,794,172,415,591,275,553,175,105,
026,401,026,677,309,914,022,851,386,832,624,406,297,005,407,967,789,421,149,
576,093,398,764,712,577,264,403,212,297,224,175,634,531,711,394,682,367,534,
154,501,912,192,352,132,557,265,937,904,059,242,854,868,860,062,445,919,857,
604,121,772,567,170,440,202,965,643,764,598,430,856,007,892,449,474,438,329,
413,304,469,390,084,304,801,967,841,845,049,114,227,074,068,674,681,706,208,
505,431,630,529,855,881,702,340,905,434,532,211,598,608,976,209,633,906,184,
885,541,950,276,375,628,005,208,419,870,778,914,562,132,340,815,191,430,398,
204,349,322,201,984,170,202,568,391,886,509,172,815,195,238,032,488,402,886,
045,310,718,756,560,721,244,942,777,014,950,479,455,837,271,202,930,363,542,
441,226,150,927,221,628,446,311,442,256,236,807,286,307,199,859,633,502,621,
024,768,343,134,602,837,060,053,687,238,720,397,221,588,924,016,016,642,430,
120,318,337,926,434,206,935,668,377,470,566,037,535,760,384,688,648,738,509,
545,035,902,103,406,673,796,920,549,800,236,807,797,349,153,907,344,611,278,
209,374,382,613,168,653,745,976,027,869,136,387,373,871,360,301,878,408,507,
065,928,185,411,248,616,797,360,901,277,085,247,556,442,207,470,418,753,919,
763,795,928,088,182,911,745,833,796,480,396,517,832,210,907,664,373,798,155,
920,306,237,675,636,338,242,148,090,982,506,165,094,500,390,792,399,522,974,
083,902,007,639,889,569,677,533,135,467,351,854,033,212,162,543,020,245,172,
328,872,616,686,038,924,772,752,734,813,171,577,220,362,898,686,873,409,723,
711,915,464,519,153,133,232,983,149,017,456,660,948,182,137,183,899,797,300,
734,494,612,916,765,044,557,051,287,859,222,958,729,182,402,960,712,407,762,
497,725,488,830,407,822,689,977,348,086,486,010,773,311,502,019,820,189,561,
552,273,588,849,040,917,067,839,556,848,687,252,044,540,247,509,022,550,608,
350,287,737,114,517,582,457,514,799,127,057,914,481,484,555,454,197,606,964,
566,237,180,148,369,650,937,526,668,953,512,063,937,971,645,241,743,408,383,
731,197,691,197,990,026,719,025,429,539,623,750,097,117,541,193,619,082,452,
522,536,210,387,428,405,209,850,475,350,524,400,731,654,198,565,346,568,779,
416,062,261,533,116,470,883,026,814,729,806,159,953,460,047,857,605,504,175,
724,733,546,908,578,897,355,099,139,612,700,429,746,127,473,895,058,009,381,
790,764,139,771,079,277,020,533,450,912,885,455,928,020,612,588,263,496,731,
774,511,128,767,866,373,743,810,773,966,123,717,096,165,157,179,250,253,138,
777,270,619,606,420,044,321,471,033,043,851,856,851,460,184,294,590,736,133,
349,794,962,527,660,181,604,039,661,890,607,312,731,215,403,343,426,138,017,
849,967,762,746,154,683,721,333,447,204,468,862,898,071,948,739,438,613,316,
697,498,858,213,593,307,273,040,458,838,800,706,874,045,323,953,853,995,288,
172,956,564,666,540,002,618,676,293,647,935,703,363,347,129,911,303,304,428,
999,488,556,977,101,899,563,685,832,112,452,576,814,487,672,622,050,582,774,
842,739,077,072,686,831,851,699,722,720,148,299,024,778,969,479,734,220,723,
473,881,128,887,173,116,850,273,285,862,974,119,841,742,422,263,793,371,780,
328,582,639,390,525,834,549,900,248,081,986,453,775,813,090,523,199,728,618,
538,209,377,856,280,751,489,615,014,641,163,526,500,130,229,665,174,177,191,
543,428,371,808,976,277,519,080,713,052,146,314,085,603,212,234,118,328,216,
948,187,269,164,214,448,683,366,634,499,004,802,800,215,864,924,303,600,692,
764,371,169,820,821,081,062,837,749,185,918,449,786,511,718,203,022,455,802,
983,333,662,484,077,065,325,742,734,738,260,657,928,349,739,915,321,424,178,
159,762,118,762,882,043,531,895,831,419,937,176,817,379,416,959,311,511,911,
904,491,624,289,029,160,319,948,381,835,222,900,205,967,232,093,033,429,368,
861,269,077,881,768,513,320,851,279,127,233,633,117,874,391,456,251,169,038,
924,695,235,836,843,384,182,259,157,281,139,493,734,338,829,897,378,067,088,
535,411,111,564,295,141,639,627,002,723,107,072,775,904,507,383,337,838,594,
027,604,465,913,988,374,424,947,518,780,428,038,156,888,091,247,721,933,586,
245,167,302,044,802,061,821,525,587,610,098,910,000,041,027,859,509,674,774,
893,544,740,308,390,621,210,663,502,575,720,403,244,790,701,062,903,414,731,
675,827,819,223,460,327,822,249,379,073,109,364,598,268,932,057,460,091,930,
614,413,427,608,422,737,435,885,397,803,971,871,943,207,610,147,050,633,242,
429,912,989,734,005,086,792,292,681,076,732,417,661,282,359,860,610,547,062,
571,212,953,136,439,084,507,406,549,518,837,632,250,515,900,223,488,895,768,
958,774,503,423,314,204,279,115,484,288,506,518,891,791,761,590,855,718,749,
825,562,412,227,484,553,011,673,573,125,473,662,475,355,072,450,842,513,133,
474,686,474,872,655,941,787,834,626,766,150,462,391,886,968,320,307,929,672,
089,908,298,522,816,416,965,364,311,312,082,552,287,818,563,195,608,431,030,
325,764,848,875,467,026,690,787,033,161,821,491,104,690,868,215,906,050,829,
149,783,574,894,803,545,792,205,371,491,166,013,752,705,550,602,094,826,464,
118,029,702,444,199,985,678,015,567,483,414,788,222,315,242,781,313,735,616,
933,462,041,631,429,710,843,723,013,316,713,643,285,084,298,849,099,686,799,
890,970,465,168,482,514,054,994,436,397,941,555,045,083,960,363,541,995,610,
684,959,814,439,139,358,955,643,913,244,722,075,726,513,319,315,069,001,752,
690,405,246,812,812,688,498,466,731,407,044,986,071,041,983,904,890,472,699,
569,311,447,868,190,595,225,369,130,453,497,798,736,353,043,473,481,201,869,
976,841,802,766,046,399,321,354,626,462,276,488,103,284,815,726,498,770,232,
795,333,178,158,765,564,992,986,318,613,821,153,418,080,110,184,430,163,624,
013,815,393,206,238,354,651,103,973,319,886,193,173,139,033,699,644,380,311,
268,141,178,349,424,973,486,984,705,242,683,153,650,094,834,632,386,887,400,
793,760,266,571,289,505,468,363,874,835,993,072,840,646,984,773,986,504,256,
355,863,651,996,636,791,919,939,069,062,854,132,496,867,128,156,359,326,615,
083,105,740,614,333,562,168,351,456,626,907,765,914,439,559,108,811,334,449,
026,294,241,452,970,243,251,753,080,998,209,150,772,177,599,836,783,178,855,
765,027,837,006,018,674,435,332,346,562,832,208,813,236,267,938,731,725,818,
743,165,709,107,674,524,806,226,437,123,403,391,409,587,244,556,291,287,252,
738,759,764,336,787,309,948,213,932,155,923,082,259,095,603,438,300,270,967,
852,086,942,890,208,857,783,451,565,360,814,558,267,450,966,505,027,269,739,
783,236,327,738,159,930,969,747,174,535,950,992,631,546,550,361,724,563,827,
888,295,042,868,832,368,376,128,285,222,522,614,859,216,772,536,233,303,364,
085,091,597,200,697,081,485,406,922,956,526,300,917,781,489,196,114,018,459,
408,151,717,779,021,983,186,665,626,777,670,087,782,916,179,494,521,924,643,
331,183,404,444,119,764,943,979,850,063,499,215,302,108,511,676,139,555,247,
006,237,081,604,969,942,387,242,165,084,153,546,417,204,617,486,721,710,098,
477,024,174,355,264,835,456,871,159,281,143,360,262,343,137,476,795,500,620,
826,971,412,395,295,768,277,577,708,851,730,470,417,815,474,251,030,347,742,
532,610,703,024,712,698,984,607,879,505,714,772,828,353,968,684,340,919,822,
784,899,801,733,768,413,687,561,451,554,845,377,055,609,635,220,508,562,171,
180,797,210,921,022,681,649,446,284,133,739,558,277,424,062,151,530,381,487,
875,946,391,206,375,566,233,205,556,643,012,112,057,990,103,956,479,994,732,
201,719,185,746,962,107,666,929,433,341,847,003,591,195,460,567,431,201,790,
373,179,410,276,524,245,512,699,502,560,622,421,940,343,129,854,597,233,031,
487,425,943,217,396,387,813,843,008,548,701,530,691,149,405,119,140,853,625,
536,169,062,461,179,517,571,475,911,603,574,767,636,252,656,450,724,887,821,
053,308,472,683,620,960,696,722,318,636,209,932,195,887,284,459,103,507,266,
858,740,484,697,260,656,887,946,313,407,556,883,188,466,930,461,661,591,882,
000,189,110,555,436,966,269,946,118,478,701,201,776,804,000,318,134,637,796,
024,590,680,174,643,728,451,934,060,140,381,544,648,374,257,095,376,297,904,
356,947,173,110,254,017,085,274,630,928,817,384,465,259,116,292,160,908,531,
648,125,881,597,871,227,847,921,739,955,093,280,076,474,689,503,775,526,864,
892,263,851,346,237,886,930,986,547,483,552,710,986,597,338,135,429,311,582,
394,904,444,799,099,797,500,848,681,418,497,578,358,232,634,195,859,895,724,
879,244,899,640,374,645,379,166,366,265,251,330,483,162,442,137,296,863,888,
976,789,150,950,994,709,266,981,404,930,162,424,485,932,682,161,501,342,867,
620,594,466,427,110,459,467,998,916,041,256,731,747,184,023,852,103,007,415,
201,069,995,630,416,200,323,183,778,018,600,991,337,878,378,959,058,685,604,
416,912,457,324,563,255,467,919,191,532,327,897,945,191,634,930,773,923,416,
835,654,479,795,678,570,360,899,188,574,100,179,929,499,327,776,670,732,428,
395,351,217,429,888,126,288,953,816,202,016,062,163,258,678,543,052,094,020,
278,315,212,352,365,568,884,606,864,028,911,548,945,517,667,045,706,793,022,
815,392,889,327,952,215,716,230,863,306,678,635,439,781,194,960,710,072,828,
425,199,649,698,620,628,332,900,953,788,466,690,421,415,580,634,272,041,389,
458,416,148,348,910,520,251,217,375,720,217,539,045,246,585,098,126,741,363,
112,009,621,685,903,384,693,533,877,114,532,238,670,530,457,017,487,245,148,
696,679,928,619,256,402,629,787,417,224,699,945,464,984,733,537,717,830,894,
621,583,223,986,610,693,184,758,579,877,589,968,830,757,337,948,372,616,366,
082,074,854,481,442,968,770,427,400,582,957,467,172,657,730,693,796,223,120,
751,129,230,933,464,440,638,402,709,520,396,097,029,740,486,586,803,970,176,
969,123,284,399,197,236,718,067,052,075,563,080,835,605,256,610,126,248,846,
427,388,000,937,979,302,523,006,212,161,249,082,813,788,807,376,619,078,803,
593,296,241,408,649,747,054,466,935,314,904,173,618,833,504,196,714,131,597,
638,344,888,610,664,436,678,443,863,709,085,857,746,176,283,614,818,436,891,
698,782,341,322,705,359,563,846,134,928,544,968,553,002,484,618,642,761,346,
626,177,601,204,097,967,176,406,838,303,903,975,500,189,904,650,850,216,957,
073,193,948,071,281,771,085,639,141,528,607,062,250,428,758,721,223,931,157,
344,859,794,069,208,284,142,082,885,132,845,792,013,023,342,571,812,397,263,
496,883,176,029,965,258,402,730,165,399,950,608,122,703,318,131,763,424,992,
663,223,062,111,469,370,791,351,332,587,053,441,060,780,737,281,070,764,788,
528,238,756,365,088,814,551,033,695,199,542,689,277,273,857,339,500,242,058,
145,607,697,969,762,010,704,558,284,925,337,136,324,672,118,700,923,971,855,
351,647,823,405,735,451,329,477,528,920,621,344,236,859,335,404,071,509,991,
003,890,605,060,459,814,833,199,422,571,357,463,092,591,705,543,371,829,990,
968,988,983,000,367,341,825,234,463,773,286,329,651,551,239,529,856,871,102,
845,291,344,606,796,262,456,345,852,102,907,195,136,087,074,950,915,688,129,
701,928,005,002,947,101,016,019,877,074,986,943,300,361,613,860,620,336,052,
257,677,095,386,742,954,657,454,215,409,699,508,814,739,354,152,514,813,233,
536,163,151,304,780,143,279,799,480,035,343,159,809,656,076,564,489,682,135,
899,374,484,117,127,231,274,073,948,839,053,007,142,654,538,365,868,815,334,
877,741,282,865,335,183,708,667,174,344,854,659,673,250,407,604,468,152,700,
392,369,181,612,284,990,391,888,167,868,076,121,544,746,655,817,274,279,177,
451,711,974,994,428,985,639,379,612,662,900,198,383,880,233,210,593,387,513,
731,008,745,089,141,064,237,231,529,170,687,193,806,196,721,390,422,950,174,
737,559,840,656,267,312,130,017,220,182,604,198,990,860,432,500,086,737,874,
086,726,645,200,356,380,499,560,537,285,285,064,346,502,493,035,092,256,726,
649,882,524,569,172,991,988,145,048,759,055,855,111,055,308,580,085,875,784,
886,977,693,276,478,876,430,065,490,898,428,164,890,548,181,096,408,666,960,
106,111,918,294,339,734,883,789,866,223,644,064,556,314,814,062,202,266,571,
120,663,958,824,265,202,099,718,927,681,185,438,721,584,807,517,259,569,582,
811,880,270,723,860,715,193,357,529,816,801,484,844,470,554,495,576,125,340,
559,567,261,113,937,357,921,620,353,717,280,976,731,350,539,185,476,786,975,
919,348,818,481,344,838,036,796,337,075,444,643,011,419,182,073,330,793,280,
671,533,028,738,387,253,374,817,903,977,238,336,074,835,387,252,932,710,433,
547,747,633,770,112,991,586,364,312,079,067,792,190,091,277,985,715,213,544,
514,003,564,641,056,866,103,006,454,708,686,603,743,805,483,599,382,494,180,
604,812,413,409,196,901,379,311,868,418,152,705,250,753,450,244,207,759,123,
191,460,688,212,959,380,876,953,374,957,831,536,355,915,289,710,059,372,680,
875,690,541,459,105,266,226,831,762,358,698,461,970,618,834,637,479,749,278,
502,039,724,437,064,168,653,319,527,062,986,570,685,905,606,606,484,556,093,
700,773,691,737,553,483,004,513,133,170,852,438,920,645,069,257,789,091,012,
740,892,214,488,534,698,081,041,330,546,358,081,484,397,978,741,471,553,650,
820,803,749,347,041,984,108,544,122,181,892,664,141,297,160,452,974,039,454,
369,030,726,011,192,769,161,212,665,947,048,576,921,535,081,276,049,351,799,
876,685,915,935,871,618,010,613,520,238,494,447,381,453,560,734,627,909,979,
400,511,948,268,812,494,626,328,562,764,729,620,986,632,886,759,937,305,098,
511,351,550,113,407,810,569,889,020,451,773,142,585,456,463,498,161,222,673,
625,639,009,560,903,833,103,134,784,940,471,838,691,549,347,055,178,852,890,
030,449,464,166,723,656,845,536,008,778,548,992,945,522,497,794,135,901,600,
816,892,535,718,648,640,214,010,894,637,976,644,349,651,995,349,009,644,144,
494,351,064,279,831,254,043,620,052,349,557,334,185,913,786,819,315,759,191,
030,082,478,834,771,332,450,504,226,197,072,206,355,245,130,661,592,792,309,
230,146,496,886,616,180,024,059,581,561,546,312,179,032,113,517,371,205,405,
177,941,006,323,428,374,943,050,733,402,833,010,117,162,321,069,241,286,153,
903,590,963,723,113,856,134,352,355,336,694,259,230,472,432,445,958,438,652,
630,188,254,034,787,764,377,634,433,275,388,593,801,534,456,122,708,763,426,
624,085,482,336,216,858,492,445,392,257,656,775,898,569,803,419,045,529,828,
136,486,172,732,422,047,663,239,152,275,959,810,751,149,240,781,012,751,396,
378,642,511,387,596,025,730,895,690,748,882,329,753,538,633,258,190,094,644,
885,017,403,024,880,690,972,184,623,182,889,205,288,168,074,707,700,440,638,
741,762,276,335,655,822,242,404,556,446,047,881,091,660,715,971,579,719,246,
675,351,928,817,017,050,123,764,113,138,791,241,054,319,595,025,057,381,206,
132,697,110,570,155,436,021,052,561,977,862,708,595,741,145,508,793,403,828,
529,950,049,620,167,107,307,265,130,568,281,118,062,418,390,657,856,034,589,
791,877,688,453,344,425,756,321,029,821,479,988,610,758,470,937,473,287,774,
377,324,425,192,276,395,187,395,148,162,774,773,821,712,263,246,159,358,478,
495,865,495,804,602,669,341,708,663,164,868,290,227,548,891,373,900,740,725,
382,197,445,004,977,956,658,072,607,969,938,635,965,339,422,355,062,868,196,
436,210,942,536,329,683,380,399,507,702,502,561,598,705,650,971,966,287,898,
714,713,575,406,960,019,504,223,630,412,057,605,139,410,125,805,817,479,193,
672,242,613,240,587,316,481,639,334,784,327,023,402,476,276,192,813,432,435,
939,166,010,478,843,293,880,373,174,889,403,338,040,033,634,442,467,924,995,
883,695,137,175,088,737,012,100,206,089,358,741,060,093,357,587,925,686,641,
033,325,870,523,216,537,375,381,611,790,046,952,900,240,044,842,513,100,686,
638,558,227,718,171,075,797,912,726,891,945,054,201,921,475,198,128,712,826,
758,974,056,775,727,540,894,944,304,835,165,030,105,345,980,556,290,833,702,
841,098,676,300,528,508,069,714,085,765,441,663,711,366,600,172,223,259,763,
030,720,156,932,871,312,626,153,780,274,340,129,301,098,916,029,226,780,929,
134,058,728,070,066,072,324,731,869,356,979,699,001,802,598,242,818,765,834,
264,849,096,901,367,624,151,365,376,965,146,007,673,111,791,498,237,647,795,
245,415,806,496,949,093,940,608,466,387,409,064,005,307,836,769,666,710,458,
557,017,839,807,717,388,392,592,402,013,046,086,557,819,323,011,330,451,720,
965,363,884,086,730,741,159,194,923,682,917,411,733,008,932,533,381,135,630,
207,714,307,417,520,310,780,071,095,562,493,701,390,923,037,262,320,785,820,
761,372,792,597,660,107,351,050,769,137,318,389,454,801,451,724,197,549,899,
662,629,228,116,157,191,894,483,805,040,953,361,418,715,499,253,301,097,278,
293,376,014,354,944,614,295,482,603,010,078,053,616,664,544,746,992,107,781,
065,118,052,469,791,894,621,014,092,157,232,138,651,251,338,301,751,612,147,
396,504,774,791,197,194,460,275,522,596,080,633,218,002,205,444,024,598,593,
336,881,553,548,214,434,910,176,881,537,431,782,586,023,487,077,772,411,355,
867,136,124,826,917,451,570,691,038,480,488,521,337,195,240,982,717,872,124,
313,607,204,602,353,363,526,443,543,232,464,282,918,557,005,408,959,323,508,
393,091,279,479,779,433,481,228,082,891,925,015,941,034,066,734,013,869,868,
728,285,874,760,063,026,298,424,613,755,219,976,099,567,875,181,003,856,787,
364,118,283,604,253,743,342,978,332,625,702,780,053,728,836,176,025,255,885,
030,634,570,183,431,735,476,722,588,800,535,844,287,118,239,241,900,655,663,
130,733,446,722,996,611,521,908,683,066,724,519,745,278,100,933,123,097,791,
211,664,048,724,586,499,551,015,417,603,892,119,583,434,567,966,344,010,334,
729,561,300,725,782,947,331,372,020,453,858,948,484,498,843,308,381,841,330,
443,428,051,142,382,892,773,319,909,425,569,372,374,423,284,425,753,339,756,
527,733,787,708,382,479,542,116,683,061,464,671,976,780,462,982,886,351,961,
696,128,908,814,715,015,811,997,733,080,426,938,467,260,836,545,775,571,659,
922,352,979,703,961,306,854,879,629,971,812,815,471,658,648,358,344,276,555,
386,918,709,816,053,519,605,184,047,487,666,268,761,965,337,048,993,994,118,
867,144,180,443,774,953,811,952,214,062,539,837,100,910,236,319,453,144,701,
408,838,708,472,501,953,241,155,534,256,872,595,739,979,386,322,722,016,524,
606,773,747,353,560,384,181,374,196,890,529,142,691,746,374,123,357,316,897,
913,450,035,169,917,298,691,973,137,010,654,604,986,067,720,250,131,784,769,
069,394,023,281,522,099,206,168,566,362,141,692,595,325,281,933,264,682,700,
134,514,053,093,774,594,821,105,110,670,307,961,985,653,602,236,473,895,096,
586,139,410,007,289,105,635,804,165,898,792,144,424,353,741,876,506,260,302,
480,282,259,235,970,195,230,697,065,958,109,304,688,088,525,007,937,148,097,
854,609,430,593,209,880,914,897,926,307,437,514,795,351,018,815,159,070,631,
140,740,319,641,051,109,494,771,402,625,245,045,433,753,062,287,291,588,551,
854,276,643,858,063,663,032,209,558,756,855,699,824,482,111,978,949,132,260,
508,625,817,418,891,032,161,489,192,257,554,135,216,355,725,692,616,795,714,
364,708,935,071,256,221,756,976,749,003,851,567,718,263,637,893,997,941,516,
777,049,048,360,091,472,884,233,815,435,485,277,117,895,267,906,812,310,892,
819,317,261,306,482,340,308,220,510,823,650,029,990,260,482,661,373,063,531,
235,347,940,681,710,749,282,818,454,152,999,485,846,524,838,823,442,386,283,
571,473,470,723,026,481,930,480,819,033,056,326,610,510,460,330,076,209,543,
354,606,716,852,508,776,784,781,398,012,732,682,186,680,116,972,468,421,694,
477,863,047,016,127,084,219,420,540,767,097,606,674,585,492,299,268,288,498,
042,071,833,649,939,736,922,288,424,170,318,163,510,653,681,965,976,777,258,
198,979,662,327,046,678,821,251,866,966,466,800,345,066,292,931,753,238,904,
376,056,806,946,116,089,844,659,814,950,781,469,807,980,572,748,555,607,592,
292,698,364,892,528,762,565,539,924,426,032,063,676,426,217,473,500,725,027,
714,162,475,408,959,366,096,625,344,823,346,198,387,409,232,452,459,462,446,
741,462,747,175,037,970,729,973,430,607,641,004,800,783,334,543,267,722,713,
360,820,360,783,079,636,185,194,900,505,444,381,271,302,006,383,436,132,425,
041,427,213,211,472,861,168,413,826,049,280,656,169,198,780,658,554,692,752,
282,190,951,661,346,383,745,771,274,247,079,173,406,894,077,886,469,140,562,
745,671,542,735,875,428,485,141,599,303,042,296,952,530,012,779,029,783,919,
965,877,956,968,866,228,468,445,878,763,879,339,873,984,126,643,096,331,304,
445,314,822,625,094,689,163,217,909,101,704,572,559,693,359,193,127,040,652,
191,242,199,792,626,707,819,641,662,944,526,336,016,700,023,748,899,181,608,
214,775,520,896,736,983,984,447,825,692,730,010,858,333,171,598,669,926,046,
677,477,689,572,947,727,616,463,864,771,073,539,474,754,394,136,883,394,224,
562,011,013,860,021,847,641,799,383,090,104,368,256,860,663,120,897,039,965,
546,494,939,682,987,558,931,940,382,212,010,309,564,017,183,788,948,579,598,
664,341,413,351,971,537,395,946,786,124,613,212,061,607,259,321,763,670,010,
499,784,000,015,505,445,988,765,329,213,454,634,428,149,305,149,852,551,663,
048,091,408,133,543,469,729,639,652,283,588,172,141,037,112,715,865,170,438,
001,755,790,795,850,765,868,172,844,518,036,064,568,515,900,750,817,391,364,
249,280,605,321,926,625,523,908,263,125,840,330,878,072,982,274,537,979,212,
815,886,247,678,762,655,432,262,473,270,568,810,937,847,405,459,711,442,818,
128,789,614,079,323,384,042,326,909,078,428,453,675,793,493,643,425,697,050,
401,789,801,945,305,758,713,873,595,858,144,165,808,962,333,281,003,449,948,
998,866,733,926,465,259,874,068,421,555,053,944,384,153,984,996,213,400,908,
469,468,768,160,850,530,837,521,387,126,800,306,774,973,395,281,251,807,816,
207,685,527,580,013,754,392,694,923,648,624,242,536,506,199,728,181,627,931,
119,649,801,317,641,569,096,701,021,875,318,538,531,018,819,447,050,007,992,
481,490,663,679,588,891,088,265,720,763,850,598,465,650,284,767,744,365,882,
715,511,791,897,553,715,070,994,947,373,764,951,735,088,374,642,757,639,774,
202,230,668,159,233,314,063,956,313,169,075,255,921,068,671,664,839,134,388,
835,485,101,848,280,266,563,311,887,867,993,847,591,934,181,265,456,904,071,
291,661,778,038,569,596,476,224,781,612,939,994,184,125,768,962,109,837,677,
822,368,206,832,540,166,414,695,502,602,768,989,386,282,330,659,394,400,120,
835,565,475,152,402,586,145,346,087,066,946,485,076,380,980,650,157,176,480,
875,628,805,963,695,968,964,285,365,572,496,746,359,470,794,317,175,393,873,
594,506,173,939,534,262,515,632,584,441,779,154,501,544,400,906,153,357,260,
586,230,504,719,018,050,906,714,161,911,786,828,804,434,985,885,988,614,841,
074,967,315,624,858,619,746,303,228,636,235,868,491,225,769,077,205,542,902,
375,407,841,353,558,305,455,516,983,210,540,283,586,172,503,825,233,555,266,
053,704,639,518,709,190,978,320,043,576,851,145,030,039,584,310,264,838,557,
080,043,680,283,866,918,497,757,709,916,675,459,642,029,528,013,835,952,002,
280,062,988,901,417,959,617,426,867,846,102,005,401,447,584,171,623,079,100,
402,474,834,857,616,765,292,961,620,908,009,235,270,039,645,568,413,251,007,
964,133,806,724,897,098,812,496,375,437,806,339,909,844,938,025,032,071,439,
980,484,506,220,952,050,903,786,737,943,952,661,281,925,713,951,795,038,900,
743,247,155,608,656,653,218,911,719,382,180,120,600,335,833,233,372,195,356,
060,507,392,549,793,739,732,855,332,736,258,224,296,390,888,765,204,543,259,
551,278,547,490,150,335,827,563,282,538,883,462,261,777,226,399,542,669,258,
759,521,214,703,966,371,620,449,795,478,934,063,402,909,682,895,792,087,204,
548,771,948,271,274,606,118,503,533,320,652,171,754,282,334,442,548,505,840,
806,639,708,922,601,235,225,684,487,749,601,968,968,521,765,020,523,056,609,
927,593,462,279,659,797,679,522,102,460,622,722,233,342,182,381,184,090,893,
907,658,062,390,627,601,550,746,264,495,698,544,398,891,513,719,288,685,589,
292,207,604,696,877,130,972,000,831,277,055,092,565,296,898,219,865,991,108,
755,279,030,795,680,882,836,465,558,996,740,623,188,786,358,242,624,426,996,
620,229,381,165,942,996,126,004,016,294,989,604,194,669,976,423,217,856,250,
899,096,051,053,109,796,425,453,292,808,642,986,120,107,920,628,655,337,062,
540,935,527,743,269,809,393,810,901,913,485,826,391,201,976,669,557,847,575,
527,178,725,712,770,810,929,034,949,160,596,363,653,615,963,004,530,327,085,
200,996,647,728,469,413,798,672,656,723,633,163,460,849,528,865,666,932,175,
828,670,610,665,131,039,277,273,439,587,044,321,998,451,582,280,651,869,283,
021,642,885,383,801,966,262,059,087,478,849,614,235,031,574,262,483,748,922,
097,833,384,413,657,053,446,594,411,283,026,145,721,154,357,832,606,324,863,
991,173,950,772,904,278,829,399,552,094,195,182,618,061,300,630,816,041,208,
312,399,688,887,645,232,399,124,647,471,490,768,375,546,916,759,996,662,130,
025,111,883,732,344,993,158,165,032,178,461,201,285,643,900,407,483,555,518,
509,408,726,684,672,435,981,753,531,895,323,398,235,135,783,048,635,150,603,
359,369,331,486,188,814,761,300,576,011,927,674,947,063,672,793,705,306,285,
281,060,612,265,206,142,222,364,991,341,458,916,143,186,862,704,658,768,451,
944,792,483,869,542,174,572,483,640,230,629,002,865,730,637,773,124,482,240,
855,709,478,349,416,371,061,770,773,402,441,142,369,117,457,886,017,957,129,
778,591,143,444,467,575,191,616,046,004,579,340,196,583,912,261,805,995,640,
675,789,550,319,184,448,210,032,028,613,100,894,500,176,371,567,114,906,179,
504,424,082,785,438,537,636,180,286,146,136,958,076,992,942,112,916,200,406,
677,638,051,622,856,038,222,445,018,826,333,154,970,357,709,479,636,621,627,
439,702,548,471,860,301,999,631,632,262,190,816,153,282,552,268,939,608,525,
454,376,315,593,178,172,229,755,131,236,564,017,798,278,978,434,735,461,760,
315,070,877,720,142,700,780,395,532,414,559,653,020,330,203,287,536,396,892,
659,169,750,719,501,492,244,426,927,309,561,498,823,406,714,892,337,663,861,
696,678,458,438,548,636,094,301,766,102,386,091,810,515,457,285,873,656,423,
113,673,305,791,546,229,855,643,345,417,211,075,286,927,311,977,456,807,313,
158,835,485,565,234,854,936,693,001,040,518,852,963,003,359,305,549,066,105,
915,752,540,280,168,180,915,643,936,788,297,026,556,322,054,875,349,727,332,
270,496,055,937,420,710,228,761,793,553,932,406,674,434,687,301,209,692,932,
387,747,093,314,774,685,295,932,831,522,930,969,669,688,771,364,685,651,020,
543,632,751,380,311,488,210,354,336,871,985,334,618,629,016,307,906,022,076,
801,712,550,629,209,943,116,369,226,757,958,534,319,838,256,356,945,442,748,
541,436,652,561,461,555,137,166,670,242,948,345,957,332,435,322,998,775,471,
227,968,835,571,339,814,976,567,169,833,154,312,785,197,484,741,614,823,741,
787,166,214,999,480,998,056,304,637,497,406,094,299,648,633,920,955,744,026,
051,743,051,518,897,672,059,391,088,692,461,764,473,781,328,734,596,960,102,
549,112,027,863,071,608,556,082,923,113,927,547,296,688,767,965,832,870,267,
298,930,498,664,945,364,999,210,064,002,123,244,932,792,165,069,988,307,504,
428,459,176,366,368,078,029,624,046,975,650,368,254,702,205,707,368,251,045,
912,556,110,917,658,209,879,407,684,762,101,953,274,140,818,676,249,889,441,
511,142,950,605,196,346,912,396,969,395,156,506,083,843,225,605,787,950,310,
646,713,326,482,621,801,690,594,963,618,752,496,468,881,013,752,772,564,153,
881,310,328,063,303,178,818,981,143,182,075,144,019,161,284,696,719,957,639,
600,852,436,483,076,161,239,061,189,183,570,438,973,331,933,910,388,188,511,
262,374,795,136,187,574,332,606,264,517,705,124,888,276,465,589,971,637,798,
743,784,720,103,717,475,565,098,651,384,996,603,473,842,379,358,355,449,708,
239,437,010,890,800,672,691,684,955,822,116,016,723,191,460,953,805,139,210,
027,609,472,248,840,793,570,107,901,222,194,115,982,899,525,919,658,164,385,
371,080,262,982,561,836,695,444,443,502,945,252,676,270,227,813,526,239,247,
119,182,206,470,623,497,109,424,968,253,440,306,969,334,219,011,041,445,238,
629,680,919,148,669,240,847,698,291,033,102,737,642,509,879,958,553,523,573,
325,785,370,407,883,082,119,692,498,676,045,439,054,185,114,826,312,091,253,
043,589,460,907,814,826,442,090,041,899,214,680,750,612,414,332,926,290,889,
799,778,801,953,779,958,037,812,783,318,964,189,476,185,112,496,504,637,578,
961,861,591,540,469,559,412,561,061,392,271,840,696,851,118,399,463,042,591,
407,507,829,542,031,597,502,850,270,683,677,384,165,973,512,819,235,264,252,
621,992,889,028,346,836,459,398,615,952,672,665,750,817,883,715,175,017,620,
528,231,368,481,526,428,729,896,701,676,935,079,269,647,073,298,842,905,562,
190,029,237,327,288,551,938,759,166,465,646,450,087,641,326,583,843,007,336,
037,627,535,748,033,335,718,060,912,367,407,602,553,835,924,504,303,806,958,
458,714,488,569,091,745,701,717,090,965,114,610,223,945,604,406,173,994,027,
486,118,696,495,096,215,691,050,139,567,338,838,418,844,315,904,320,265,208,
476,308,006,763,904,763,662,142,027,999,106,366,072,702,455,380,415,673,527,
970,499,923,313,876,264,836,520,526,647,055,588,026,163,304,738,727,034,825,
855,915,755,518,836,004,353,976,338,121,958,000,680,525,452,802,289,078,002,
071,393,868,762,930,985,554,071,242,285,489,340,326,406,637,759,965,235,744,
659,517,638,532,298,175,250,610,953,853,607,252,162,515,661,473,329,227,668,
315,507,936,330,736,097,227,954,737,715,250,848,266,387,803,525,414,908,294,
829,917,246,289,420,680,637,958,422,333,206,605,730,696,667,357,882,693,248,
474,543,315,649,468,021,049,890,468,553,483,592,786,983,669,119,521,919,572,
123,797,983,386,942,396,015,042,213,442,127,775,895,546,958,317,257,993,633,
184,250,862,888,055,905,240,002,979,503,637,896,728,003,194,974,281,023,524,
106,031,410,196,271,294,755,475,817,797,262,152,966,746,003,646,717,263,198,
497,605,016,348,838,869,195,079,209,183,078,396,556,044,124,155,387,527,191,
665,828,502,847,170,524,006,333,921,413,310,500,136,172,991,810,193,537,046,
282,159,046,884,053,373,120,554,442,849,705,380,746,666,429,376,682,717,155,
288,026,236,505,733,743,738,759,331,349,406,871,488,569,828,880,015,139,933,
077,228,457,908,885,701,572,637,710,560,192,116,683,512,178,040,537,295,929,
085,076,168,067,235,040,668,630,327,668,453,123,838,045,494,247,599,565,713,
568,398,721,770,778,144,217,312,327,588,991,972,903,579,270,507,499,478,496,
213,664,034,739,239,964,887,613,078,662,229,133,609,233,458,983,367,123,493,
576,696,815,899,752,240,373,050,124,637,890,798,950,749,736,352,223,607,755,
582,974,071,857,585,346,803,445,539,832,444,809,952,274,429,271,103,804,304,
738,014,530,209,871,618,253,178,645,127,759,987,679,950,989,616,004,229,561,
558,603,602,266,032,552,059,186,767,265,905,786,811,074,025,077,822,299,616,
967,279,408,771,120,093,247,798,961,978,525,385,701,035,444,667,359,916,595,
020,789,808,673,821,925,192,740,114,855,325,205,829,365,306,943,968,946,421,
153,030,758,341,385,488,817,518,740,609,304,244,066,718,078,044,219,541,266,
973,888,694,217,013,581,267,701,276,788,571,600,662,703,725,889,583,598,098,
783,844,869,201,454,110,743,572,108,244,941,636,385,621,276,150,753,199,566,
917,396,102,996,380,118,276,200,865,587,427,885,572,598,978,745,249,861,370,
601,933,352,054,703,515,710,110,915,946,418,131,022,650,229,246,663,484,065,
100,405,465,953,611,543,768,156,534,756,773,504,603,811,065,137,669,543,156,
653,559,721,874,869,961,569,399,301,837,616,608,461,675,855,212,749,503,518,
238,357,739,200,357,614,460,249,587,417,120,960,870,999,899,411,561,484,035,
802,653,985,242,373,314,115,184,549,816,765,901,124,489,585,809,185,434,704,
210,013,901,893,638,156,125,810,912,666,186,705,026,460,450,110,914,147,425,
381,114,702,861,100,604,147,346,348,156,132,047,511,598,870,582,120,517,308,
773,527,833,861,411,615,172,934,357,898,911,142,782,187,843,192,252,949,640,
745,149,682,841,010,590,442,503,250,550,845,592,510,103,360,598,621,640,761,
603,879,002,277,353,886,536,663,398,365,123,666,720,776,186,092,648,853,386,
710,148,049,599,380,399,076,430,854,818,492,757,269,367,023,470,506,135,268,
374,592,458,967,680,941,392,294,488,453,754,258,712,462,765,669,462,748,464,
014,313,778,580,587,691,190,502,251,694,881,226,592,019,116,604,800,003,146,
345,979,057,439,114,479,487,977,127,705,580,297,174,292,713,097,664,567,712,
505,058,948,883,475,906,168,221,391,413,907,633,562,620,785,226,179,745,872,
461,836,736,717,112,588,947,442,766,624,648,159,456,673,199,874,323,408,677,
132,452,709,027,666,186,380,181,810,476,154,426,012,443,995,275,581,543,473,
182,198,600,946,871,516,833,176,165,478,396,308,871,455,275,794,226,246,319,
452,090,304,551,758,062,825,237,445,678,267,126,255,779,346,201,421,186,336,
168,964,240,499,744,725,044,104,847,234,433,508,504,705,710,189,649,010,298,
186,502,176,384,359,265,368,419,477,209,310,284,335,951,791,238,939,165,895,
856,266,982,600,105,742,621,777,255,680,074,662,986,910,576,263,001,627,533,
631,943,022,886,042,424,454,434,898,576,377,032,175,391,974,658,743,479,105,
084,380,271,320,894,477,435,007,520,127,058,053,053,523,462,938,111,250,725,
156,543,972,518,279,865,618,610,007,774,127,877,185,863,435,886,223,610,412,
327,093,589,175,334,942,332,584,160,428,414,611,682,401,646,234,803,011,384,
406,969,524,281,066,326,577,063,543,875,490,985,556,410,012,172,161,873,497,
499,780,737,570,882,618,620,640,787,689,207,471,087,401,603,225,497,114,812,
610,956,084,871,925,972,394,198,037,786,236,500,770,676,188,534,574,217,502,
504,483,804,958,467,464,013,578,377,079,125,986,173,825,001,566,821,031,623,
038,791,437,835,020,652,184,735,208,574,712,006,369,308,262,060,776,926,971,
238,262,405,996,172,346,300,851,353,867,824,560,377,601,966,197,120,302,059,
918,114,871,506,739,614,077,045,670,216,604,957,100,031,277,383,656,215,371,
819,347,852,908,260,467,743,091,567,233,970,887,199,275,391,854,196,101,978,
168,052,398,595,741,445,983,118,162,612,140,973,992,664,646,041,053,613,369,
225,412,937,932,809,869,678,478,200,856,508,734,259,018,092,127,804,132,286,
261,135,187,198,735,977,186,224,643,941,722,112,354,131,283,870,584,591,202,
778,254,334,787,828,210,855,659,601,647,886,880,707,601,259,298,838,540,225,
943,590,662,219,214,199,854,037,214,087,957,109,866,811,107,090,183,265,739,
701,216,030,080,491,935,810,168,857,059,318,419,782,109,782,811,751,112,134,
423,371,948,606,362,986,520,436,412,491,878,955,201,219,495,493,739,245,403,
653,708,331,909,736,518,266,177,023,517,809,260,282,228,963,137,001,351,778,
706,823,575,865,838,159,039,958,168,721,841,179,959,724,516,196,862,566,110,
728,615,693,185,300,977,730,134,838,625,009,946,456,144,380,999,019,572,397,
248,272,368,421,617,801,748,311,026,802,024,387,914,210,099,279,279,076,576,
897,112,589,885,921,620,860,968,183,682,269,955,436,557,149,242,470,065,079,
545,437,045,743,672,353,297,934,148,671,981,303,686,449,621,214,446,360,620,
980,161,409,522,403,303,853,393,093,655,216,301,968,223,190,585,763,547,804,
701,185,026,243,692,332,762,028,303,514,758,093,550,794,590,140,116,793,907,
323,992,970,287,308,246,158,728,359,119,785,777,264,597,931,405,757,287,404,
360,807,020,536,933,447,898,191,678,037,221,977,489,265,105,164,125,212,537,
999,483,854,824,723,284,741,896,976,577,711,926,148,900,595,021,673,568,257,
636,751,393,684,414,400,095,181,635,588,172,573,789,214,536,031,013,669,117,
219,863,436,680,207,538,522,654,488,554,036,926,699,377,972,522,183,337,802,
350,442,806,083,439,704,439,116,322,530,599,065,547,018,380,399,435,233,121,
774,633,049,719,617,915,400,209,143,585,756,942,272,202,389,561,049,184,697,
702,229,016,214,929,901,419,611,539,734,056,826,810,254,019,149,796,192,405,
563,494,216,556,938,422,642,050,562,724,974,116,142,336,396,553,142,923,462,
624,344,523,082,354,685,565,496,496,524,454,489,071,763,670,863,572,971,530,
202,974,274,900,348,400,552,015,464,501,913,580,955,318,575,831,718,524,127,
214,762,180,207,275,328,181,799,789,787,570,396,925,452,160,413,844,612,123,
232,577,122,365,361,366,758,453,100,352,585,550,032,423,988,968,524,379,290,
293,609,049,416,174,842,835,753,855,220,074,360,912,314,084,599,311,121,268,
042,286,753,922,421,606,932,525,981,741,375,111,466,969,398,974,306,105,825,
255,253,004,092,469,032,373,630,211,830,562,746,465,621,532,576,046,963,647,
303,433,419,330,130,127,863,588,143,369,460,489,132,762,219,118,181,211,439,
654,573,165,070,724,054,266,988,383,653,645,108,637,569,270,717,514,923,705,
504,572,363,033,252,793,970,220,464,121,302,737,322,992,726,500,547,077,409,
486,205,045,001,909,862,305,526,715,442,550,388,904,171,412,242,771,228,627,
307,041,595,721,059,152,193,761,550,535,086,412,042,817,299,978,287,568,203,
667,231,163,059,451,375,673,838,534,142,895,265,367,558,667,951,410,496,540,
746,810,525,343,325,597,614,350,540,209,632,451,264,682,679,959,776,639,751,
544,815,097,734,753,236,849,792,321,286,572,854,975,489,242,196,953,642,409,
878,568,744,658,514,890,072,720,988,212,956,539,841,822,238,159,469,487,509,
080,473,526,527,959,134,599,049,389,953,577,579,390,806,005,895,019,862,713,
280,788,675,786,255,710,252,565,480,490,512,726,221,098,831,499,574,638,044,
019,111,312,859,951,104,362,676,657,428,637,611,126,013,149,243,533,996,415,
137,743,577,037,630,317,085,093,878,877,256,438,321,903,783,896,678,629,833,
136,534,792,190,037,242,919,631,071,051,730,054,013,282,886,273,912,760,812,
296,059,915,678,009,211,980,831,981,833,934,351,036,779,680,590,691,871,972,
626,764,524,034,876,942,286,591,551,816,437,600,087,535,684,101,866,061,267,
933,947,861,846,885,641,915,983,739,235,003,640,537,225,581,979,900,292,211,
012,242,449,074,802,292,119,666,834,943,128,545,460,354,675,323,320,066,511,
266,406,521,427,894,960,353,280,547,218,773,098,946,374,001,073,794,219,399,
174,847,158,167,936,639,380,199,702,561,411,345,257,541,351,776,450,098,647,
668,861,089,153,414,648,781,115,077,893,069,454,035,927,938,785,383,380,428,
116,345,739,880,751,906,257,901,235,422,393,684,841,085,716,213,221,296,343,
308,777,642,836,686,347,202,336,724,482,407,250,503,208,870,401,895,515,158,
388,547,211,643,224,288,933,015,465,978,660,350,359,973,443,281,110,768,207,
965,473,483,912,845,947,189,746,713,782,571,972,505,614,291,825,900,406,874,
279,300,848,960,453,433,141,538,219,908,286,004,646,440,421,752,112,100,283,
532,328,454,582,137,024,046,609,419,824,478,420,872,135,471,154,849,903,547,
830,951,367,202,616,067,924,880,367,583,752,591,710,139,089,597,133,171,729,
123,887,701,215,867,001,865,777,169,763,309,197,774,085,958,182,484,105,316,
556,257,725,717,721,573,190,526,239,152,212,671,805,813,739,434,520,300,007,
664,072,231,531,338,778,143,529,303,491,395,869,226,085,233,494,056,243,498,
810,353,092,810,260,624,698,762,835,490,226,466,575,140,137,046,123,974,306,
566,550,657,063,095,485,096,008,855,813,409,513,750,029,852,314,209,199,723,
245,348,363,808,694,550,947,895,084,278,307,323,044,619,858,809,287,336,454,
286,464,923,292,400,615,483,880,611,256,071,552,767,836,812,067,659,096,120,
117,161,749,273,259,776,121,599,099,155,699,494,793,581,332,641,338,491,844,
052,263,999,246,776,839,884,259,614,926,176,412,555,684,038,921,994,642,493,
017,862,260,456,548,040,190,214,291,760,136,786,518,219,995,162,573,268,728,
155,429,312,959,600,551,132,773,566,632,047,032,514,942,553,730,536,613,204,
162,444,691,874,593,584,844,746,189,283,249,133,834,344,975,302,950,022,477,
464,451,254,310,432,116,667,607,297,732,188,436,591,030,161,320,135,865,687,
226,214,822,279,661,580,672,259,201,973,272,396,220,181,906,167,144,064,859,
760,941,280,238,596,732,487,819,010,055,958,085,656,671,764,309,156,382,598,
474,450,119,734,481,447,663,671,104,405,809,621,539,195,117,862,667,887,935,
651,388,466,645,074,373,146,580,566,200,190,761,911,509,043,145,202,631,921,
700,603,897,381,873,259,734,528,297,298,168,487,335,248,880,991,858,328,723,
196,374,448,886,269,434,737,428,982,964,788,641,743,973,968,209,796,898,247,
159,390,748,112,120,570,421,129,126,857,856,673,305,108,940,981,868,126,107,
642,552,950,848,638,004,267,848,072,210,841,369,642,925,627,451,686,054,790,
362,672,298,016,459,193,853,470,974,681,750,600,124,804,993,662,961,444,626,
072,304,980,808,387,687,317,456,207,927,604,874,698,272,912,950,722,702,537,
424,910,010,761,100,662,682,866,627,159,443,957,277,669,957,412,805,323,000,
578,079,342,678,829,938,228,404,898,141,186,178,987,109,917,944,997,687,033,
532,643,476,575,419,826,992,288,946,549,982,547,438,014,603,437,785,363,410,
368,335,145,958,632,665,077,812,575,989,515,025,601,364,759,844,306,704,048,
438,212,579,669,694,275,050,950,371,307,034,574,276,333,982,508,169,559,500,
952,089,419,743,222,014,739,960,596,798,377,369,066,122,019,233,456,481,881,
550,967,656,509,979,797,094,059,761,855,746,097,769,923,204,227,823,126,932,
505,747,798,787,615,724,903,615,971,043,023,279,824,026,150,939,769,577,512,
458,245,079,995,156,087,819,086,012,611,928,349,775,626,783,254,082,503,601,
282,313,151,173,523,039,244,697,568,528,465,099,449,884,050,041,568,538,570,
466,252,121,925,339,266,366,773,829,663,463,208,318,787,454,834,714,874,308,
297,607,114,632,414,882,498,270,823,415,725,158,500,512,547,825,833,362,260,
826,112,676,129,774,221,373,045,887,136,082,848,847,389,679,562,389,604,207,
079,468,445,048,079,888,657,707,437,298,738,000,321,077,620,785,485,112,388,
861,093,744,709,118,577,612,044,352,247,580,380,430,864,087,300,035,609,899,
233,044,770,875,168,295,316,612,274,674,860,446,399,429,403,051,821,029,028,
548,984,349,304,606,122,156,166,645,629,429,062,971,649,057,890,125,664,007,
871,070,525,736,256,533,079,969,544,664,545,036,444,638,837,352,052,531,822,
734,403,437,628,679,507,008,672,150,669,897,022,459,087,494,799,341,971,640,
134,315,857,902,189,305,186,132,154,030,541,491,758,822,091,795,435,798,578,
854,440,871,448,876,189,713,867,830,115,978,298,422,672,214,212,512,163,623,
475,619,345,359,492,379,246,661,105,222,519,522,630,058,918,373,275,104,861,
399,856,621,069,146,198,886,326,591,312,969,868,327,496,742,372,344,366,955,
176,798,836,373,830,471,212,412,744,540,215,508,602,475,052,657,078,337,656,
070,593,946,124,064,061,320,913,512,957,112,246,762,106,796,784,000,288,543,
596,788,411,366,072,203,697,339,750,677,118,348,661,403,157,337,245,909,346,
559,582,296,968,597,498,575,419,404,526,683,439,022,646,241,504,838,813,186,
702,934,031,806,954,557,118,493,306,224,932,518,271,655,482,809,858,286,563,
947,086,151,238,668,226,899,807,291,625,619,344,500,900,819,608,107,342,665,
492,276,605,466,190,720,333,664,651,742,922,634,512,965,108,145,307,670,379,
219,505,144,815,069,400,284,897,011,159,372,011,265,413,523,781,939,538,090,
821,284,107,268,989,767,848,501,870,735,894,342,080,772,304,247,663,276,796,
125,155,516,957,306,526,606,726,738,748,342,521,306,976,231,688,899,707,176,
372,890,921,694,350,361,077,120,151,611,717,617,499,764,012,377,971,635,397,
468,606,902,726,878,226,500,344,305,777,867,117,276,499,827,354,174,381,705,
488,160,142,984,675,586,978,790,784,929,867,963,403,194,295,037,595,664,723,
548,553,996,654,584,498,589,794,602,331,797,779,849,307,282,836,942,450,394,
189,528,864,606,934,500,867,674,285,907,800,215,122,751,544,932,758,694,094,
478,463,864,013,281,055,960,409,091,683,226,243,806,892,940,636,396,579,274,
485,682,559,489,477,892,615,176,004,542,403,746,319,175,991,760,133,001,321,
257,429,100,530,866,562,485,250,798,907,166,952,716,073,862,372,285,875,169,
906,085,282,804,119,377,703,865,512,326,101,196,290,812,995,744,379,794,434,
025,659,478,148,216,241,954,825,578,217,875,469,480,744,782,654,299,380,648,
524,614,532,865,319,294,295,998,241,447,331,361,632,242,529,737,617,160,220,
639,451,569,310,388,433,336,058,245,744,405,312,907,223,213,097,922,952,653,
065,471,413,487,626,552,869,629,472,947,798,388,419,527,724,929,447,855,258,
763,800,702,530,904,792,569,356,560,593,579,693,312,722,495,928,794,929,082,
596,713,189,978,573,617,922,951,435,059,770,827,516,084,255,191,223,910,812,
042,675,998,762,326,502,945,913,299,699,184,587,920,469,300,360,807,378,318,
325,369,385,541,293,877,762,190,211,276,944,001,728,749,556,690,025,708,757,
337,328,489,357,791,790,759,194,715,504,402,682,332,228,725,607,395,994,335,
041,014,576,230,239,317,371,363,446,360,204,570,389,330,933,965,478,521,151,
512,870,581,228,997,753,454,390,785,783,688,561,955,044,822,953,965,008,522,
619,422,321,296,461,851,914,446,664,986,487,258,703,398,413,411,225,069,284,
997,603,616,974,609,085,490,431,942,028,861,415,192,063,456,516,505,133,270,
294,975,198,755,788,194,077,229,269,025,940,025,585,473,256,122,605,241,848,
730,723,552,967,588,004,954,695,011,496,362,727,841,671,771,306,464,652,323,
147,840,200,949,882,840,480,610,615,113,856,976,175,546,746,835,254,560,643,
208,043,836,636,702,402,542,159,447,041,633,547,228,729,043,814,449,157,665,
045,639,244,790,000,999,827,377,050,629,127,928,133,155,580,547,284,623,944,
068,125,810,045,693,058,695,848,345,822,660,918,501,810,271,417,032,430,321,
080,088,514,047,840,292,792,390,745,912,616,615,183,993,660,660,430,165,636,
828,867,629,680,383,808,170,571,562,612,754,477,699,785,301,892,990,843,992,
342,047,108,317,831,400,953,607,175,479,705,936,454,824,267,567,377,529,445,
894,485,208,263,773,845,970,682,342,841,212,275,395,644,677,996,148,706,034,
951,292,413,229,444,526,905,784,726,208,138,952,904,119,879,208,870,970,174,
562,540,749,545,030,824,571,268,097,501,346,566,463,662,826,440,006,470,454,
295,680,900,248,610,608,349,364,748,093,902,295,687,552,423,372,962,120,290,
220,591,922,252,330,850,032,315,965,459,179,428,796,316,017,463,893,578,258,
700,282,688,104,387,402,108,406,077,686,283,374,315,941,835,429,920,068,784,
463,193,721,840,890,263,547,503,039,442,088,832,041,425,099,171,044,803,282,
731,647,736,892,029,107,680,568,717,620,846,345,729,994,347,590,780,298,690,
778,234,949,776,520,129,289,802,288,926,936,039,954,355,078,756,171,393,730,
685,625,000,252,507,937,719,970,321,134,596,683,563,298,925,738,739,592,436,
632,988,681,670,100,927,283,020,777,608,865,170,021,675,344,356,006,205,157,
237,651,781,886,518,532,168,869,858,104,032,821,516,076,250,159,147,844,899,
921,560,943,125,618,812,674,852,717,029,262,850,384,624,821,536,211,954,491,
607,728,011,128,397,376,680,157,694,351,719,154,363,307,034,229,299,947,620,
477,736,095,277,252,900,725,742,435,064,060,775,682,378,109,840,520,310,059,
788,867,543,816,548,117,798,540,299,434,396,591,943,382,810,444,933,496,025,
035,340,701,764,711,649,432,662,760,563,795,294,817,453,051,877,723,640,403,
326,526,946,520,113,821,877,361,045,932,859,626,055,180,091,327,125,085,880,
527,148,425,647,202,256,099,141,103,413,846,782,588,568,330,657,387,287,914,
298,106,343,168,002,100,574,863,840,303,841,217,915,482,960,932,950,692,031,
423,988,216,810,733,168,132,137,527,114,881,201,882,708,411,892,072,323,254,
155,383,648,057,066,521,241,023,562,074,682,149,593,757,069,986,634,170,625,
555,147,495,597,053,673,538,871,028,291,347,208,113,526,680,762,860,710,171,
132,788,451,295,967,133,326,231,534,095,735,789,358,008,666,934,659,771,675,
722,746,028,002,751,005,334,411,925,571,064,152,877,629,682,318,268,977,871,
030,093,586,053,131,122,326,408,456,027,027,425,461,727,209,493,684,738,660,
750,112,309,900,568,057,207,969,089,999,912,393,859,603,485,401,033,235,959,
318,943,633,831,453,943,078,950,279,399,523,029,775,101,056,029,643,182,004,
474,683,730,831,276,836,601,232,002,138,347,677,117,862,669,403,456,351,866,
109,545,652,524,678,328,503,805,470,474,870,002,531,805,095,621,451,445,349,
779,809,691,935,628,218,618,697,405,040,578,739,837,386,858,392,029,836,205,
531,120,297,278,489,153,706,712,473,757,143,476,633,535,878,840,871,315,817,
002,939,621,589,484,550,055,218,484,560,718,068,107,712,171,221,162,480,286,
492,902,481,520,753,058,994,739,638,445,815,878,346,050,333,414,849,852,844,
451,247,707,937,053,768,547,796,358,568,566,886,506,973,728,027,416,510,499,
172,925,426,988,843,205,785,003,871,283,105,013,615,530,184,774,713,227,912,
002,058,386,678,367,088,642,561,277,883,316,845,215,672,916,293,124,350,738,
814,839,188,253,636,176,067,575,800,951,283,355,967,666,317,287,968,885,441,
241,267,363,221,217,776,689,516,680,747,218,246,250,456,142,168,288,912,980,
088,462,553,279,410,887,497,002,297,679,120,335,914,337,474,537,088,489,217,
918,055,610,165,474,725,938,052,246,170,994,240,543,494,748,780,771,874,598,
820,796,516,952,753,901,373,064,164,309,054,410,584,152,660,075,828,338,271,
923,981,000,360,224,325,275,244,898,932,173,566,223,585,562,972,495,677,970,
383,898,977,830,850,854,438,020,325,937,899,296,736,615,772,569,117,240,438,
203,818,695,804,363,676,379,010,776,446,557,538,863,592,981,705,508,962,655,
846,015,474,645,619,359,995,888,116,478,579,026,167,526,447,098,502,132,164,
197,329,759,471,952,630,928,889,453,080,500,891,530,555,616,403,989,275,156,
978,043,808,611,789,505,516,779,549,525,340,558,630,300,769,171,631,617,767,
832,533,370,435,767,299,622,492,669,479,137,232,259,729,353,343,100,807,724,
414,715,196,943,577,563,809,051,991,600,404,262,411,379,449,313,472,042,214,
531,076,004,598,624,325,871,225,089,957,212,532,135,040,367,995,399,758,619,
292,632,574,660,504,330,709,398,411,529,118,611,595,487,351,733,512,680,881,
290,808,691,380,112,321,718,432,692,295,978,876,659,284,355,751,965,591,510,
192,578,299,716,979,601,991,508,041,463,204,297,667,341,760,770,125,384,294,
632,643,079,030,065,774,937,247,276,383,581,342,789,373,369,609,968,544,615,
147,539,550,423,012,455,563,788,414,947,711,288,335,238,367,316,110,698,248,
687,152,772,094,544,383,963,921,163,798,969,619,034,855,041,335,305,546,442,
056,453,697,362,239,757,037,811,538,627,507,666,411,007,390,008,952,091,731,
538,522,456,610,827,367,221,826,199,690,328,672,418,044,187,531,853,629,307,
327,031,777,153,479,870,283,388,215,297,637,727,167,633,359,805,604,020,533,
068,221,877,270,138,598,868,976,087,587,468,415,928,260,521,244,139,423,038,
524,355,196,324,648,100,558,082,607,032,488,548,488,337,531,409,882,250,832,
715,465,375,950,664,817,781,368,091,841,381,608,829,515,204,062,420,425,497,
356,328,436,531,980,859,190,023,238,446,499,375,962,828,341,178,028,462,022,
610,722,724,992,178,325,606,102,578,183,263,607,520,219,065,926,979,455,072,
940,256,958,152,752,289,693,114,894,502,873,868,384,621,181,847,562,613,209,
796,795,098,281,393,822,916,010,148,308,072,525,702,040,979,690,769,625,548,
285,248,845,430,667,588,764,786,604,516,525,079,669,444,965,654,592,290,595,
242,931,662,087,293,241,966,253,760,773,527,577,910,927,326,722,720,438,798,
596,093,100,731,489,218,689,278,857,092,634,910,087,268,299,045,824,645,987,
907,214,458,936,354,439,666,758,717,333,110,940,918,840,218,282,009,923,942,
437,002,510,810,893,084,710,483,801,846,536,132,695,745,819,001,606,956,344,
904,894,398,289,317,884,044,669,885,754,219,591,473,763,101,450,673,843,597,
074,055,745,770,973,746,476,639,296,997,122,385,390,692,157,315,177,470,506,
827,125,691,329,455,705,996,101,498,353,523,898,417,434,695,640,260,421,359,
760,722,980,177,344,836,598,196,398,367,128,216,033,601,106,836,935,244,492,
997,740,921,864,135,150,896,049,392,342,171,904,764,087,986,680,705,603,558,
123,355,766,764,647,992,309,919,399,711,794,222,067,363,940,979,061,379,088,
243,115,792,391,094,690,598,889,849,459,270,688,929,398,988,196,537,716,494,
754,313,609,913,805,010,688,833,926,385,561,895,255,084,079,199,116,028,912,
808,060,930,363,647,417,456,706,120,402,154,681,848,804,003,881,069,637,611,
591,040,836,164,476,379,614,537,921,472,986,568,369,459,235,834,193,414,003,
999,527,335,257,022,605,552,072,485,072,551,597,167,471,417,688,291,408,439,
987,606,601,772,345,745,217,128,174,844,231,510,467,801,613,107,014,046,443,
586,323,457,521,138,600,539,029,355,672,187,477,985,703,260,767,647,578,171,
716,468,754,981,639,530,106,826,581,563,503,078,605,090,357,271,103,291,456,
807,256,367,293,626,239,417,339,772,708,674,254,174,167,562,443,811,414,573,
829,154,785,099,787,140,712,653,929,270,435,593,100,702,576,398,012,627,382,
057,255,337,911,252,554,290,778,282,872,468,735,591,561,034,780,668,785,729,
923,629,445,277,912,462,504,740,342,304,820,666,351,758,377,245,419,944,069,
408,232,096,664,047,510,638,897,098,204,081,567,317,528,709,237,470,761,564,
074,845,282,674,044,370,115,805,650,763,761,736,462,880,572,976,672,546,526,
288,071,682,587,427,571,778,893,172,924,562,964,963,435,577,855,382,692,321,
279,975,381,104,115,478,692,051,812,563,256,444,834,599,224,076,282,880,031,
643,850,761,130,948,579,973,791,539,670,106,373,699,123,866,547,934,451,056,
297,010,102,225,340,632,702,780,749,152,167,386,089,890,497,491,301,574,491,
976,506,330,825,456,448,611,938,976,327,144,433,945,892,613,456,119,721,630,
236,681,229,612,470,740,391,374,440,319,746,462,880,814,256,872,524,682,316,
095,855,001,339,552,464,106,654,849,118,843,658,257,165,074,339,272,650,338,
524,651,838,657,485,000,049,546,140,434,809,456,568,207,371,645,452,829,342,
797,219,898,283,324,716,097,043,085,064,504,639,792,351,253,049,035,253,092,
420,469,407,324,231,471,777,091,271,966,885,400,309,616,663,790,039,288,057,
911,861,516,522,231,755,324,192,919,522,008,090,680,312,750,703,042,708,215,
831,627,178,038,878,354,645,547,208,908,537,566,892,123,318,362,639,697,292,
329,407,585,638,018,022,757,324,915,323,194,047,996,211,086,613,982,056,640,
555,213,247,681,285,902,793,494,028,245,842,041,204,282,774,926,576,792,770,
410,381,759,084,173,885,929,013,935,354,033,962,778,733,088,465,635,565,768,
409,445,318,040,735,978,648,137,436,862,434,363,431,735,276,216,086,517,405,
803,904,187,163,278,083,245,757,707,915,871,220,085,075,643,427,577,268,807,
536,875,660,846,848,245,460,937,440,824,069,908,059,054,100,647,678,942,316,
932,904,655,100,018,921,591,932,646,595,790,727,280,973,607,658,298,586,225,
223,131,967,886,539,183,898,268,367,425,269,075,032,267,619,157,470,708,287,
595,163,967,161,667,003,760,253,825,661,827,375,271,487,014,626,435,326,511,
276,402,165,459,236,453,728,739,770,401,073,911,876,831,951,922,622,022,562,
321,636,591,255,182,347,978,896,520,427,141,825,297,314,036,228,785,278,501,
702,559,528,124,534,490,727,516,799,814,056,902,597,294,157,933,826,334,353,
836,065,784,018,794,425,418,330,211,863,505,270,613,580,098,160,763,831,429,
397,280,751,216,844,194,790,565,312,370,066,476,589,472,659,916,835,334,072,
545,877,129,145,749,450,411,061,236,644,780,839,004,076,621,235,937,475,252,
236,426,406,399,213,100,882,801,576,281,935,891,211,445,191,089,186,682,311,
737,403,297,017,172,013,615,519,966,973,987,743,453,385,325,712,270,735,097,
313,966,436,886,696,485,950,788,396,781,943,470,838,890,586,582,709,029,759,
697,984,751,488,622,565,525,537,116,969,851,906,828,192,127,751,392,059,439,
656,870,280,738,434,772,446,543,383,402,977,304,825,725,722,953,668,351,648,
029,244,258,420,750,451,991,432,058,140,680,924,111,594,086,669,970,869,804,
142,947,715,396,052,104,791,984,198,976,648,805,715,338,887,276,807,615,601,
247,131,346,948,817,825,679,998,951,152,727,266,234,817,917,569,087,614,364,
515,793,660,773,212,162,740,092,302,984,622,106,158,566,779,063,684,989,070,
983,247,112,184,737,993,612,061,314,965,752,907,455,925,437,370,354,648,638,
676,056,020,185,215,034,386,912,847,810,040,735,776,760,950,133,804,202,067,
269,436,648,175,710,097,820,245,366,070,903,102,533,358,561,821,049,640,539,
541,457,667,593,396,612,750,877,434,617,992,617,781,448,377,382,288,146,800,
073,239,828,908,043,405,018,205,600,019,461,231,839,572,662,543,440,476,296,
464,862,699,429,790,804,020,296,944,320,677,647,404,390,516,820,571,846,044,
804,519,261,979,596,654,031,334,865,802,005,338,974,218,285,860,521,994,728,
710,088,109,360,645,151,594,172,889,765,253,647,462,210,746,966,111,149,709,
443,902,921,256,900,207,506,091,063,726,066,876,686,125,676,222,603,054,029,
161,455,076,335,021,332,437,867,501,222,131,178,781,320,347,929,076,307,941,
674,044,672,258,967,855,118,817,196,260,191,648,685,694,788,561,948,125,106,
311,725,755,777,069,816,008,646,646,937,271,802,260,598,504,919,967,125,352,
409,534,515,075,603,509,090,618,313,637,095,164,872,930,498,507,709,629,745,
017,217,997,602,537,508,505,047,285,887,668,182,585,577,873,772,605,453,214,
757,451,154,767,264,629,857,644,938,030,402,628,515,833,511,513,206,507,575,
694,830,601,327,280,307,931,404,616,924,940,969,043,528,601,993,534,596,976,
562,298,258,888,322,656,733,783,155,839,161,991,096,915,080,933,306,941,730,
297,770,399,150,114,171,293,459,940,094,811,751,492,005,985,075,354,168,543,
114,729,302,340,524,397,446,334,117,110,284,857,086,239,572,627,470,295,801,
276,937,143,669,228,896,531,053,888,087,020,078,371,555,306,870,507,798,828,
736,281,584,262,303,375,161,035,831,345,061,182,112,568,243,201,051,162,368,
912,572,966,951,558,765,080,942,611,204,389,767,985,723,646,904,312,348,434,
625,526,066,785,467,854,696,240,097,886,466,831,781,700,520,318,476,318,422,
156,253,863,949,768,002,708,822,030,143,704,049,037,117,189,791,560,802,117,
471,143,179,199,417,879,966,314,896,565,327,892,968,725,325,112,197,851,891,
402,040,014,296,232,053,008,945,131,902,595,672,573,724,143,962,330,319,609,
077,385,013,776,515,229,599,673,619,040,164,747,638,718,143,418,796,047,775,
404,164,297,749,723,674,486,681,246,792,981,509,204,665,612,806,380,131,660,
170,172,773,721,185,366,065,569,293,987,244,969,233,639,865,384,884,960,589,
874,159,005,651,460,037,029,499,086,110,909,769,618,817,100,404,884,557,487,
856,226,186,697,174,981,189,984,107,623,725,645,842,197,532,587,711,676,382,
937,322,013,323,590,654,025,956,853,645,081,300,524,749,472,955,608,313,329,
480,684,646,068,148,332,649,737,401,109,946,846,069,342,856,442,959,995,338,
234,022,637,715,353,567,986,191,911,806,014,863,359,516,891,031,602,926,522,
816,335,773,675,723,043,885,437,426,949,739,818,175,516,662,164,260,370,922,
391,140,761,433,968,611,345,048,887,771,971,052,467,651,345,532,841,893,288,
709,841,867,242,807,263,024,063,506,561,591,382,348,540,930,371,652,984,158,
685,963,487,604,233,062,718,307,619,320,232,029,903,298,202,801,588,576,418,
062,520,612,770,680,202,821,001,894,855,717,858,149,849,804,121,273,847,071,
958,366,897,949,363,830,070,964,869,510,345,731,579,742,523,683,395,239,143,
673,921,540,545,723,154,014,104,932,299,584,205,020,273,581,809,223,823,325,
438,580,417,837,387,761,498,881,813,274,497,055,024,490,275,040,631,986,476,
957,422,452,800,994,863,685,597,625,205,520,873,631,547,482,562,010,060,462,
689,473,117,514,777,686,037,694,630,073,433,872,540,934,018,234,979,247,126,
293,615,815,580,163,134,923,836,234,427,910,544,459,369,259,489,607,457,607,
683,020,369,612,099,666,126,035,856,521,425,003,700,271,718,222,305,684,996,
862,221,359,356,985,416,471,792,882,328,620,864,327,768,033,251,608,952,561,
009,892,431,155,231,331,581,571,899,375,646,859,408,002,763,608,015,940,379,
137,878,605,616,344,444,211,893,771,807,224,738,918,033,481,968,861,881,147,
088,625,874,127,247,595,739,583,834,849,700,111,382,522,402,812,402,085,955,
610,307,244,011,951,101,886,997,990,205,180,347,506,852,603,105,551,148,199,
852,161,731,094,077,019,024,875,898,072,437,280,225,724,148,847,076,113,226,
366,869,746,971,395,465,608,195,016,074,354,259,054,071,525,196,548,193,331,
034,110,272,685,007,380,615,794,450,089,884,560,119,557,627,799,140,180,822,
970,671,732,281,463,571,037,060,600,682,307,139,188,461,190,357,908,691,152,
730,922,192,565,064,701,952,040,561,256,438,765,961,070,046,473,171,412,881,
040,791,858,817,243,498,226,613,035,811,218,476,029,506,524,934,272,675,045,
110,347,817,044,867,799,428,325,224,675,530,842,483,523,940,651,274,087,794,
389,593,016,914,692,128,841,039,403,865,777,980,274,632,400,366,845,199,314,
958,715,403,463,946,985,852,717,296,818,053,400,855,602,424,715,815,042,501,
585,557,503,277,053,104,220,241,630,710,133,349,025,371,054,556,942,548,937,
437,214,480,657,279,733,936,380,993,034,390,872,401,256,767,589,002,241,103,
374,572,573,265,673,784,395,909,146,464,375,889,142,403,446,293,683,722,285,
319,135,824,904,682,729,417,511,193,087,105,149,445,723,382,729,729,896,538,
384,536,185,075,208,242,086,022,612,369,282,164,482,758,469,976,581,190,568,
984,101,491,769,806,116,882,969,812,410,355,291,513,302,501,513,370,827,886,
376,143,789,138,625,628,608,166,379,475,764,467,376,132,287,006,484,194,000,
320,513,232,475,458,181,846,445,133,847,026,020,447,622,509,321,075,719,129,
119,478,106,561,886,091,975,551,525,663,249,341,366,657,177,160,417,752,796,
874,096,791,655,013,550,707,112,831,445,521,376,362,807,446,292,795,957,147,
385,864,264,759,020,707,545,685,235,261,322,395,557,028,966,694,519,116,911,
995,796,308,435,280,858,999,900,304,516,783,126,107,565,879,774,572,850,371,
280,638,888,407,830,362,928,483,633,013,794,170,370,208,205,026,785,766,456,
959,367,458,021,579,453,130,856,110,242,581,035,863,172,773,024,384,048,517,
418,545,212,181,938,394,017,995,591,997,302,990,594,947,297,998,567,077,380,
772,666,510,015,999,039,227,014,190,881,541,689,711,381,709,203,403,328,962,
329,247,473,144,533,338,591,751,063,554,252,555,332,410,109,429,648,136,469,
437,314,688,781,681,773,500,656,470,004,295,020,922,673,585,510,914,445,726,
339,584,365,535,617,538,512,926,071,091,969,002,134,806,212,064,085,607,889,
037,024,226,664,043,481,861,478,759,922,979,974,216,060,891,078,324,872,433,
598,034,424,473,594,199,520,391,791,722,571,397,418,322,951,462,194,313,321,
388,775,613,170,673,141,627,012,047,434,676,780,271,404,996,672,261,598,160,
196,871,946,043,395,247,299,138,317,101,894,693,633,616,411,007,644,258,092,
668,870,851,967,505,578,502,912,115,482,537,809,460,231,491,075,790,488,073,
951,865,904,999,540,862,122,405,441,675,765,108,879,227,030,358,682,345,762,
102,670,296,957,189,599,021,739,525,223,852,717,243,230,320,524,326,114,736,
930,114,460,780,665,975,530,023,452,860,450,253,365,453,916,496,220,398,498,
279,425,663,487,530,963,688,778,028,907,089,541,783,305,193,850,235,747,290,
333,801,473,333,724,362,602,066,097,679,874,028,199,879,719,792,715,657,142,
827,965,749,830,730,960,205,975,900,747,590,865,437,054,464,758,850,955,814,
886,848,975,448,305,993,657,675,920,385,276,003,952,157,732,540,567,459,432,
022,102,817,662,699,622,114,984,187,764,913,383,757,142,650,823,972,698,071,
311,504,243,329,371,746,494,887,965,973,080,818,375,176,847,968,783,745,340,
299,459,223,814,929,988,576,913,224,224,380,803,997,727,296,902,510,697,548,
072,614,120,558,772,273,342,208,018,162,266,088,436,178,862,114,847,023,898,
027,225,493,616,458,552,303,190,186,892,258,746,315,431,012,566,891,594,272,
176,265,417,177,226,902,815,645,443,514,113,340,201,234,785,582,573,513,417,
852,004,392,330,851,851,700,691,546,814,474,623,557,898,323,172,340,337,000,
603,499,165,916,979,292,474,023,217,498,123,785,459,230,337,153,477,637,501,
479,512,213,749,000,031,045,699,003,145,208,311,239,281,488,325,331,944,853,
846,821,653,249,536,109,339,998,972,635,654,717,194,512,070,041,532,640,652,
261,580,327,909,288,926,917,161,748,707,093,813,996,078,334,805,316,719,595,
543,669,995,886,435,671,264,212,302,289,207,043,357,226,879,157,822,200,590,
826,398,865,652,640,066,065,714,354,296,070,786,911,562,248,553,825,772,536,
091,986,589,583,261,297,023,970,719,952,029,888,583,894,537,624,753,837,737,
350,943,999,417,652,836,289,031,346,196,481,905,875,697,562,991,154,254,625,
600,601,717,953,948,417,366,411,316,186,699,311,687,081,613,945,731,228,104,
508,332,469,103,124,677,658,525,969,704,547,645,257,571,770,327,443,546,936,
971,766,945,641,823,767,712,160,443,927,634,173,997,606,411,019,430,890,106,
116,643,012,328,418,027,345,394,711,067,584,963,029,303,390,778,039,720,078,
885,124,560,192,252,546,937,585,430,682,696,367,301,919,043,348,481,073,011,
640,804,882,879,384,248,636,504,656,273,032,185,466,387,076,062,659,749,467,
177,875,452,585,385,722,906,922,523,350,301,039,344,170,235,897,981,912,998,
778,479,686,706,291,919,948,101,860,009,718,592,548,182,820,187,798,255,105,
749,914,000,816,854,426,335,936,753,666,159,283,671,616,707,321,883,072,798,
436,046,681,340,201,332,046,089,249,735,873,349,021,062,181,123,503,790,850,
825,138,119,886,677,667,041,053,146,602,730,596,598,015,564,071,587,501,734,
178,170,106,483,865,308,624,620,326,733,490,245,032,375,803,988,559,064,843,
313,685,303,069,673,806,488,012,019,366,617,297,158,614,794,483,032,178,641,
366,635,799,816,945,577,206,587,892,439,341,275,364,627,778,635,441,480,958,
748,776,066,260,387,057,272,981,798,050,718,656,017,786,714,756,936,132,055,
829,223,122,850,965,609,705,780,310,524,973,948,578,098,867,072,418,413,591,
941,297,535,640,707,955,863,967,682,211,860,781,815,374,602,789,102,041,687,
329,686,275,113,992,155,397,293,050,480,411,258,298,334,067,422,425,870,755,
842,742,922,584,460,967,295,003,891,950,204,991,499,528,760,747,223,539,332,
527,008,441,095,225,874,742,519,436,245,080,701,928,947,463,526,131,730,851,
954,761,296,858,818,323,138,155,651,275,152,960,601,135,574,608,518,364,442,
513,875,277,954,020,639,234,226,359,477,937,021,492,830,383,996,272,252,172,
613,542,580,474,788,091,970,785,826,511,661,078,908,996,744,186,281,887,571,
005,969,800,891,407,003,536,084,028,427,397,188,866,608,913,687,944,129,021,
156,762,457,078,649,297,697,669,622,503,592,760,006,151,271,951,451,499,121,
309,506,652,343,210,636,562,734,259,070,865,567,999,341,566,171,891,056,933,
442,761,317,965,989,442,252,934,161,819,424,474,157,846,026,096,187,254,589,
083,817,358,284,336,862,634,513,769,721,181,895,528,204,100,178,958,411,927,
140,403,224,545,167,955,081,761,639,973,498,852,277,232,493,854,762,147,970,
723,787,811,680,889,242,951,579,049,259,098,597,029,944,032,042,772,541,643,
533,268,369,465,118,722,429,113,986,737,748,418,363,880,114,698,430,465,158,
012,866,233,911,698,202,725,013,832,423,037,952,760,640,858,406,705,920,621,
762,562,052,709,046,867,547,567,565,910,434,740,497,762,130,811,701,682,505,
523,472,202,879,736,124,330,728,949,798,232,112,809,320,078,759,505,604,457,
771,512,702,431,877,494,783,277,500,235,263,540,142,614,236,732,690,381,583,
954,390,121,650,160,240,423,488,146,375,209,400,625,988,575,196,155,009,616,
542,695,814,089,628,501,445,539,733,703,820,056,569,803,058,769,187,640,012,
339,584,534,510,976,891,947,661,894,602,680,908,619,969,916,571,224,124,345,
777,165,150,735,811,961,244,726,263,834,222,803,477,527,349,464,839,369,977,
028,608,169,973,965,782,271,111,183,061,596,837,468,192,158,109,423,228,698,
073,377,075,030,060,053,925,485,393,201,626,240,123,669,689,653,014,930,973,
552,593,116,272,278,776,761,113,631,397,628,730,116,726,035,651,475,552,454,
452,513,962,506,067,255,651,820,300,978,135,160,281,057,181,720,420,630,191,
630,380,394,655,303,511,690,552,646,716,099,474,401,521,238,430,538,929,478,
755,390,420,061,568,676,474,357,437,767,751,754,307,029,561,023,698,292,507,
646,696,497,048,426,937,859,176,031,052,657,855,220,425,736,244,502,763,586,
729,456,300,242,801,033,958,252,875,712,054,838,711,919,753,849,629,713,292,
465,497,653,188,145,015,410,546,369,639,817,186,948,954,313,429,303,338,500,
962,682,432,686,189,002,953,040,687,016,349,146,376,065,620,873,550,848,235,
896,475,618,183,628,625,060,486,790,558,077,246,329,573,632,355,225,993,179,
876,995,996,926,501,767,077,764,722,856,948,041,460,662,061,153,427,386,021,
766,035,409,702,805,332,882,973,672,821,496,919,284,285,708,443,007,725,884,
431,710,730,057,978,008,112,595,405,568,322,410,044,582,409,967,470,517,526,
935,843,879,861,745,734,209,937,096,036,558,015,613,146,702,082,960,542,314,
753,711,034,096,345,726,449,173,127,691,166,260,029,464,598,061,035,446,149,
248,784,944,269,700,465,703,349,705,365,984,394,890,499,771,309,793,754,564,
054,309,859,023,109,531,948,035,823,820,794,937,212,425,642,873,304,449,292,
703,711,560,934,179,396,646,074,966,196,105,219,823,693,043,223,183,894,956,
957,163,514,005,614,818,518,819,481,780,864,555,749,215,409,982,730,174,580,
409,163,850,447,465,907,811,689,347,972,116,300,492,323,072,428,906,193,721,
460,025,925,110,393,518,595,410,870,050,898,242,520,945,123,748,001,580,615,
094,383,467,321,159,122,677,217,929,132,375,693,868,203,637,097,885,403,889,
913,884,674,747,227,649,211,521,054,796,635,389,028,658,321,442,861,141,980,
699,994,628,875,626,803,482,527,026,771,317,084,019,678,873,221,764,869,296,
302,826,874,223,040,270,036,245,545,759,041,990,492,872,567,816,712,386,944,
403,071,287,259,607,302,510,565,050,181,917,632,809,692,070,031,926,541,540,
285,840,310,716,687,293,867,517,813,630,659,635,103,123,645,360,485,654,192,
781,231,631,311,516,239,485,713,338,760,222,747,535,974,203,658,798,616,839,
546,359,505,069,471,563,788,002,103,540,888,782,722,263,432,855,136,115,473,
837,134,081,998,627,033,513,715,124,286,012,594,544,328,272,295,761,337,445,
536,621,165,173,000,320,905,842,982,266,021,837,059,355,029,063,176,019,085,
356,686,211,886,403,441,881,040,396,097,660,430,216,874,127,931,397,962,384,
534,592,671,558,884,070,282,530,159,527,598,921,761,345,181,600,481,125,196,
279,984,640,204,072,208,333,272,340,494,728,782,587,117,454,657,517,827,590,
847,677,690,735,836,946,147,257,533,711,252,039,999,137,240,324,838,177,319,
106,711,328,138,467,662,931,607,102,271,709,374,466,059,598,722,609,963,053,
585,814,043,878,871,778,744,921,999,499,753,587,146,414,340,612,411,504,145,
365,583,423,044,589,146,439,023,179,293,855,501,920,957,861,036,147,723,872,
759,656,231,370,606,184,629,304,874,751,785,508,330,273,109,215,343,612,883,
519,503,839,757,647,841,238,518,507,202,159,600,837,030,106,712,489,072,367,
501,621,695,390,086,776,271,626,283,813,065,304,823,690,987,402,897,040,410,
082,299,873,649,768,823,275,644,922,110,815,956,502,225,140,667,503,799,203,
802,203,543,651,943,445,429,974,358,134,593,007,957,038,976,764,101,806,342,
312,277,875,889,878,793,388,253,047,550,995,774,059,301,133,441,485,010,345,
821,159,851,377,794,097,429,707,034,004,315,418,621,437,643,927,708,649,020,
700,328,511,480,396,695,851,807,904,646,620,940,550,434,166,144,571,174,765,
548,359,047,240,313,683,160,442,882,403,356,735,530,509,443,942,901,927,906,
946,456,594,142,431,455,155,920,233,839,282,696,257,223,451,008,462,030,354,
383,854,065,982,135,263,273,357,887,497,100,874,271,106,073,996,051,753,532,
386,204,949,662,795,016,814,796,791,724,705,819,482,737,537,401,303,275,633,
539,719,062,905,541,883,941,209,823,769,804,682,525,249,203,955,792,654,155,
701,090,648,969,542,415,149,501,732,306,227,666,628,968,683,339,793,648,039,
780,755,684,056,322,454,107,478,664,138,368,870,428,043,561,858,855,991,517,
236,043,657,856,065,107,793,070,490,988,802,881,826,288,519,874,792,926,812,
632,130,204,572,160,879,384,880,638,082,901,253,576,202,007,005,742,224,216,
111,742,413,830,238,656,397,904,906,217,504,619,644,742,386,009,613,698,791,
152,574,245,630,371,393,576,514,080,953,434,758,304,794,763,224,377,177,566,
243,045,133,595,259,832,142,624,338,719,073,183,760,509,503,336,737,636,939,
160,873,980,314,563,354,224,342,246,555,817,931,215,429,918,614,658,956,957,
539,857,868,409,226,439,842,205,636,510,782,918,900,940,982,445,612,136,158,
168,726,972,684,597,629,323,505,808,207,407,156,501,519,452,116,478,392,352,
753,785,414,730,112,729,586,188,123,093,355,241,261,719,163,702,146,941,011,
817,838,577,141,139,195,678,115,868,672,437,266,619,391,959,784,281,573,196,
592,704,546,635,877,996,879,721,534,565,939,051,506,789,249,475,447,713,688,
890,495,551,185,288,405,179,165,392,189,272,697,146,393,891,355,700,600,835,
593,079,388,596,098,612,537,522,662,124,600,699,812,540,732,599,328,763,293,
940,616,239,441,670,004,838,689,826,264,934,866,850,076,455,938,859,655,435,
719,215,393,349,079,628,587,740,719,292,098,091,638,601,248,720,982,345,830,
767,318,429,391,714,237,016,667,260,659,286,793,613,169,803,447,701,412,878,
230,895,072,188,218,268,932,046,409,732,168,983,832,221,565,640,801,253,610,
479,508,662,879,659,414,447,462,329,844,668,722,709,922,468,815,823,631,879,
729,363,467,822,593,867,866,400,643,080,381,488,175,105,045,936,047,264,636,
186,624,164,300,686,431,363,417,333,095,258,896,922,934,762,379,468,724,746,
664,408,235,149,752,916,890,832,492,386,365,605,349,019,931,559,024,231,853,
558,201,203,146,745,434,563,506,720,805,655,936,749,694,313,884,706,438,209,
967,485,102,280,092,672,941,027,870,574,804,188,143,604,598,974,723,381,581,
112,286,957,380,855,349,742,911,438,293,516,826,211,999,988,236,044,690,824,
353,380,855,274,809,531,639,883,658,887,835,943,801,664,171,405,101,043,192,
443,860,425,922,143,904,476,720,956,447,029,142,333,538,879,035,846,496,801,
743,544,476,327,873,753,123,687,900,909,070,916,671,466,152,833,981,621,882,
667,158,898,144,097,582,363,027,807,160,916,533,406,635,217,795,355,955,504,
217,941,645,621,603,456,910,474,685,869,712,727,499,443,064,132,587,263,065,
636,596,815,600,258,205,415,975,525,434,122,063,037,049,764,582,340,457,987,
578,920,777,474,420,876,087,915,240,527,037,587,264,365,151,789,201,377,809,
688,458,630,901,586,482,824,726,264,499,963,881,056,715,612,341,358,340,739,
918,483,437,141,716,526,659,027,005,675,980,586,297,909,380,733,123,337,468,
888,268,468,282,872,546,072,565,682,913,093,463,693,822,753,736,653,388,469,
472,928,616,594,898,843,521,748,115,249,025,953,728,032,684,456,572,869,712,
642,076,922,150,178,159,386,260,178,475,674,280,095,871,045,206,515,135,615,
850,317,014,000,691,196,457,951,174,871,542,551,749,518,683,476,711,246,896,
893,930,872,111,130,896,764,149,281,052,210,764,578,209,523,692,921,881,020,
298,469,683,807,775,740,700,615,117,667,552,351,922,734,752,886,222,411,984,
189,830,390,393,349,405,343,698,013,451,360,725,396,588,125,183,759,711,907,
516,177,690,248,524,034,765,318,056,647,900,917,380,587,300,730,259,078,686,
661,959,120,818,079,975,366,931,919,054,590,635,980,323,550,437,987,414,803,
969,454,577,363,486,651,650,415,119,945,165,653,334,120,131,907,193,782,245,
936,083,435,461,474,570,375,340,016,996,046,206,218,961,749,433,794,199,349,
949,075,078,426,166,543,515,900,870,361,003,754,344,985,296,567,683,101,895,
881,908,966,052,805,472,965,193,703,139,412,713,667,597,751,779,252,669,943,
053,368,158,350,866,671,976,086,296,554,599,154,717,508,063,221,093,525,368,
587,566,298,071,735,846,236,733,489,545,212,130,310,971,834,167,792,220,290,
419,080,805,086,866,716,748,059,270,184,120,235,154,644,789,698,301,241,245,
663,536,808,486,359,131,584,457,138,953,206,619,297,129,223,866,069,155,949,
227,743,718,611,620,772,953,329,481,528,896,875,893,120,026,979,741,887,682,
068,809,197,936,354,877,446,084,722,971,933,269,977,011,148,543,722,126,009,
360,418,080,026,655,412,382,402,601,310,545,375,758,788,668,130,635,489,725,
476,707,148,119,751,974,284,812,046,945,143,801,625,874,794,656,263,046,487,
268,649,102,546,704,694,330,298,262,901,774,493,463,616,042,650,830,434,736,
846,920,324,213,219,136,240,987,597,289,470,352,631,049,776,033,993,833,720,
521,712,109,577,460,937,509,249,915,616,653,154,291,751,406,572,271,297,430,
026,105,442,789,325,225,586,964,743,481,539,240,737,426,519,839,857,928,204,
933,225,725,106,423,697,683,258,528,625,187,335,833,746,641,271,537,109,183,
626,986,443,655,234,952,442,912,436,956,807,718,887,542,698,491,028,032,654,
389,873,735,737,524,409,060,110,412,195,186,241,869,496,136,438,723,524,488,
855,654,977,300,695,773,203,904,710,454,648,956,092,599,112,029,578,734,878,
057,656,136,213,894,064,950,419,109,577,089,907,453,197,934,419,457,344,224,
221,767,778,099,770,316,490,940,088,542,862,194,735,170,634,044,718,558,425,
252,401,318,513,701,947,462,055,679,047,614,289,901,455,146,005,641,772,207,
584,709,721,193,693,666,860,664,631,633,531,036,369,479,767,913,421,402,363,
672,043,472,553,259,501,869,433,894,266,732,035,774,639,965,332,171,382,398,
775,471,119,810,062,096,352,770,986,317,522,697,198,207,529,454,046,960,458,
196,786,706,320,767,820,730,564,194,218,171,807,314,805,488,243,182,862,600,
516,573,973,781,247,702,447,675,558,053,627,888,038,333,342,594,688,933,574,
769,833,087,748,929,947,960,053,558,162,239,427,867,718,988,323,545,352,883,
501,551,295,121,103,748,916,017,936,244,473,368,690,745,384,420,405,864,860,
314,741,216,262,179,105,279,859,991,903,779,647,545,614,516,929,178,812,397,
953,428,437,539,063,737,374,632,662,129,442,448,234,690,587,602,325,020,124,
691,329,008,952,018,781,320,049,511,148,662,707,057,421,889,695,559,015,011,
428,030,372,629,802,183,112,553,398,174,414,669,801,696,454,364,543,760,912,
606,279,106,332,656,583,823,449,818,788,887,179,234,569,831,035,163,371,169,
161,264,861,730,329,294,404,020,309,784,273,758,716,014,253,749,920,319,401,
988,612,318,927,725,635,067,559,653,054,819,293,225,121,620,782,800,531,447,
333,153,477,459,302,302,831,933,607,153,605,105,949,394,298,312,314,891,111,
958,486,929,769,472,491,246,902,902,001,210,840,169,524,326,527,147,924,403,
910,513,410,341,475,086,097,738,039,132,293,754,634,500,396,589,543,959,869,
450,325,122,508,304,907,121,671,713,467,756,649,950,821,159,056,202,579,777,
536,623,097,707,447,598,442,191,882,029,427,771,891,069,659,372,169,692,721,
991,595,773,539,412,742,331,762,147,894,723,786,060,987,503,659,156,791,467,
314,225,741,637,735,167,493,395,720,734,072,339,918,365,720,070,164,155,821,
381,147,327,843,482,999,926,456,438,573,557,214,268,208,852,389,731,148,319,
830,145,854,001,526,409,824,478,627,364,796,321,770,565,331,043,215,888,845,
125,719,149,023,555,614,170,585,773,898,535,345,003,872,993,669,806,968,246,
287,322,467,179,038,457,555,744,277,258,077,564,464,617,065,123,105,371,223,
175,056,255,881,445,831,125,394,653,232,727,830,674,879,669,564,590,044,664,
522,146,724,094,241,259,887,169,984,213,643,436,425,504,653,284,106,474,563,
194,490,145,850,971,094,658,551,507,047,103,075,165,559,169,567,252,640,007,
981,643,776,391,019,098,467,329,606,590,197,851,025,914,689,535,815,296,572,
608,567,176,089,020,342,889,769,773,899,545,659,051,493,034,332,646,618,120,
457,927,624,274,551,479,495,646,587,570,428,196,956,190,086,715,447,979,890,
440,033,846,639,889,725,587,834,179,371,734,882,760,976,430,862,763,042,458,
889,535,951,105,484,477,384,793,718,269,397,997,124,933,400,565,341,241,208,
968,859,288,201,648,762,942,174,709,240,169,060,535,747,231,753,140,583,501,
045,471,186,769,125,122,548,167,906,784,799,595,306,643,999,903,752,789,014,
123,828,088,998,098,108,565,965,429,217,458,462,353,751,057,770,029,959,439,
993,198,431,195,684,511,330,495,132,641,518,414,608,646,149,067,162,242,458,
511,640,426,567,179,867,311,772,279,102,379,446,848,693,481,557,598,626,186,
004,790,423,600,537,406,508,478,367,210,433,414,409,053,226,844,083,717,645,
622,056,480,861,308,831,835,828,306,447,539,221,814,316,622,893,555,773,424,
078,926,292,989,269,695,405,259,629,876,991,707,172,218,170,706,639,323,967,
362,631,476,315,608,314,332,123,302,200,567,358,997,167,882,549,047,643,651,
800,716,754,854,761,364,287,294,222,832,924,141,274,061,826,411,911,328,109,
203,291,745,899,686,906,481,756,050,825,331,326,986,479,638,477,377,172,465,
934,233,363,409,562,251,103,266,821,441,090,433,068,600,889,990,939,998,067,
716,706,149,108,704,097,319,807,449,028,530,646,328,159,627,977,182,652,790,
007,592,663,421,112,860,548,915,350,640,839,834,652,745,297,614,531,647,768,
989,809,368,889,368,473,697,833,658,480,440,524,346,714,829,952,332,074,312,
361,955,145,786,266,080,932,200,735,397,023,433,249,589,524,758,538,150,959,
875,541,860,081,721,369,781,185,634,166,609,758,874,145,968,219,511,980,265,
115,180,227,974,218,486,274,014,818,458,703,751,213,410,610,020,895,092,791,
606,418,312,982,188,034,330,475,696,749,075,930,645,539,859,520,576,266,532,
074,675,794,501,459,872,301,592,904,195,344,065,933,472,389,295,601,815,287,
225,930,236,771,846,519,345,661,321,328,452,260,449,543,197,082,038,675,343,
071,063,792,858,650,691,309,082,648,991,561,230,371,509,169,225,092,189,301,
143,077,417,907,232,544,259,626,485,152,060,951,305,773,605,298,392,160,618,
706,917,202,869,673,344,236,070,924,894,040,633,303,334,836,692,707,101,907,
246,276,569,064,444,777,062,636,556,620,633,334,451,315,467,214,305,141,889,
393,341,641,933,573,404,294,264,771,360,873,728,534,125,430,914,373,379,243,
707,074,699,760,630,190,960,776,805,461,927,589,069,985,350,435,099,351,128,
490,853,050,261,330,214,066,123,949,033,748,775,221,720,506,063,917,380,520,
657,630,905,383,944,990,382,055,210,389,090,478,171,542,879,690,450,949,983,
551,425,306,414,473,768,949,444,163,773,653,161,282,821,594,749,249,676,381,
610,652,181,575,517,169,586,520,076,892,070,745,660,038,292,558,234,781,771,
558,711,925,518,301,482,043,046,269,554,155,895,888,613,332,877,405,464,498,
873,962,600,502,636,296,863,763,799,409,950,642,793,737,938,004,060,749,910,
143,134,378,669,688,710,064,062,957,929,326,109,652,924,892,343,430,539,241,
341,296,950,317,914,886,029,094,885,841,154,880,825,367,743,335,352,515,219,
371,974,058,388,570,859,196,764,647,560,723,717,587,158,364,581,177,376,872,
611,094,711,602,756,563,208,767,439,360,985,664,775,123,204,193,830,597,129,
842,902,732,352,358,607,699,952,069,541,880,668,721,793,357,803,840,988,210,
050,519,839,076,264,236,147,735,997,950,854,686,884,242,566,356,849,639,188,
899,557,908,646,498,126,275,744,187,335,678,130,067,628,000,925,248,625,806,
227,528,091,787,056,979,524,057,494,833,821,268,071,250,286,521,483,057,912,
537,916,205,071,869,949,940,466,065,456,612,327,749,555,457,927,684,916,014,
156,742,661,426,206,964,930,462,775,860,980,766,212,843,198,940,146,128,304,
879,600,148,844,050,856,181,086,854,813,819,220,580,043,769,866,187,718,494,
748,178,541,211,077,534,233,759,670,292,910,911,455,539,744,958,609,229,151,
692,484,971,765,693,761,610,825,729,933,196,359,010,375,412,550,757,447,353,
745,107,060,422,633,463,251,549,948,635,792,502,373,440,901,218,882,280,100,
683,561,775,982,289,260,108,450,166,261,894,233,747,391,180,577,555,022,750,
330,989,323,744,614,872,062,457,199,007,802,685,974,862,350,836,759,574,890,
740,788,548,718,578,556,969,811,000,425,937,037,703,993,599,417,432,081,138,
393,866,251,343,530,310,553,029,481,025,110,044,156,208,799,352,284,583,427,
831,959,838,059,530,050,807,980,499,492,180,828,506,488,362,242,292,220,271,
911,538,168,307,914,102,826,616,352,916,538,395,150,717,776,285,168,685,267,
026,046,066,688,332,117,631,684,444,118,302,768,078,837,233,699,096,307,947,
254,391,359,020,683,089,299,334,525,026,733,333,066,444,875,399,100,136,121,
043,658,970,703,090,161,652,411,090,455,412,820,367,949,197,037,964,204,373,
357,572,128,158,680,076,340,000,929,108,100,881,719,846,074,453,115,999,562,
082,167,631,557,581,864,350,334,763,615,560,320,125,762,452,522,954,775,877,
235,338,336,548,330,083,157,343,158,769,907,420,618,997,033,861,277,953,778,
496,793,598,379,619,723,300,881,594,023,887,849,923,893,137,368,292,379,084,
493,632,370,262,694,315,099,708,472,730,959,372,209,421,205,416,405,953,617,
751,124,287,559,226,877,129,729,223,181,752,671,315,220,103,990,725,132,925,
570,060,250,861,030,809,044,896,909,609,592,073,050,851,189,467,940,359,161,
496,406,063,927,275,006,106,000,155,446,478,961,070,103,063,518,610,053,146,
168,331,038,642,351,078,261,388,386,069,036,114,607,716,359,431,224,208,078,
186,986,808,495,391,361,637,839,229,436,921,399,494,715,865,082,560,117,454,
259,179,025,084,478,951,570,426,512,874,117,060,300,342,519,150,760,795,025,
008,181,838,338,435,246,704,528,722,064,687,068,611,265,000,228,219,959,120,
204,076,175,933,328,334,858,787,281,508,969,291,356,302,963,296,396,015,240,
349,422,435,028,542,558,206,284,523,996,295,213,698,473,683,784,181,699,810,
043,824,309,137,654,198,351,092,758,227,944,444,940,009,703,805,915,666,130,
858,062,475,157,343,815,535,508,400,648,300,557,446,408,559,895,100,374,149,
365,891,035,017,636,180,032,336,209,522,835,460,462,834,467,854,915,599,733,
022,822,516,020,023,480,360,228,561,478,388,380,214,569,098,385,723,407,364,
754,081,038,837,660,719,067,279,059,220,663,943,187,588,468,522,913,562,472,
378,973,974,787,881,401,372,552,575,872,354,488,609,769,718,437,962,826,269,
663,350,610,583,326,843,867,239,942,340,899,856,321,644,944,814,588,716,618,
407,989,324,506,316,213,082,262,267,199,204,759,197,672,481,355,492,015,265,
883,893,846,658,737,845,450,535,792,413,531,440,438,811,174,476,523,648,705,
573,953,156,401,751,154,068,958,207,517,732,197,730,344,234,895,921,163,031,
393,803,481,181,428,957,117,373,291,415,768,538,157,742,159,424,110,900,605,
074,683,922,601,985,070,050,276,310,471,107,604,785,007,445,847,576,359,596,
130,798,280,210,874,299,400,553,585,151,617,875,429,351,279,277,651,071,572,
873,950,260,726,045,191,390,927,048,049,414,469,540,748,419,339,402,244,449,
331,963,905,900,246,146,746,766,774,604,557,699,146,708,807,937,944,559,912,
608,365,704,471,227,575,983,551,478,149,132,215,108,500,395,358,915,924,624,
307,835,649,403,197,733,372,986,451,777,101,234,355,373,748,260,592,982,308,
588,537,449,857,780,985,605,157,171,020,097,211,275,955,406,639,655,409,484,
942,765,828,515,355,164,380,451,323,765,349,659,437,864,261,225,354,819,944,
814,419,480,147,183,327,170,122,637,458,900,023,968,396,652,804,582,071,906,
756,263,560,310,215,622,078,720,680,563,878,707,355,018,798,134,297,195,921,
724,913,435,187,996,970,489,313,847,140,860,354,244,399,754,497,345,904,755,
539,209,308,629,098,963,630,626,023,564,599,845,306,994,734,218,418,378,086,
842,945,347,396,457,818,443,743,287,154,060,078,049,158,051,743,579,340,036,
351,200,600,494,410,407,181,449,848,292,091,924,032,904,994,441,414,766,728,
706,432,678,583,230,341,384,484,836,755,994,311,412,654,964,238,925,276,157,
763,266,410,518,084,423,027,309,958,894,536,018,868,604,351,372,425,687,534,
223,772,502,053,785,258,667,612,086,425,912,654,457,987,144,642,439,546,479,
851,326,179,213,091,470,406,470,543,321,562,544,997,273,408,425,288,381,820,
132,483,990,251,009,076,513,810,540,007,054,051,203,775,295,135,151,929,852,
692,633,395,535,409,834,270,598,876,811,039,057,401,210,963,887,843,301,070,
590,326,159,311,941,610,216,054,120,595,164,152,438,537,991,748,140,232,789,
749,379,996,866,691,941,666,781,462,955,847,334,509,810,017,267,664,580,018,
038,029,211,653,569,444,702,540,716,044,982,170,690,913,833,835,140,991,475,
152,215,523,509,908,308,273,098,365,970,508,622,656,242,947,426,588,566,613,
348,907,423,471,060,576,404,316,387,720,349,256,054,463,712,661,700,450,754,
888,600,223,578,776,463,712,641,388,034,523,799,517,595,449,285,470,787,426,
280,534,185,702,578,913,311,989,639,847,199,121,383,675,887,084,225,301,099,
645,449,921,757,749,547,076,567,638,843,822,233,407,906,224,734,501,138,933,
341,502,287,429,926,974,393,223,018,602,697,186,669,211,458,554,176,092,707,
373,561,470,466,533,627,419,124,843,450,116,332,578,636,202,241,459,081,347,
637,474,503,245,110,652,380,744,677,667,698,797,643,860,979,238,220,199,700,
231,696,213,491,950,091,622,403,987,173,637,364,195,819,359,897,937,138,907,
296,836,726,045,720,550,571,332,709,247,391,413,392,422,698,486,683,117,200,
824,858,621,141,772,444,644,066,976,488,085,753,972,240,151,043,325,713,841,
198,863,759,861,403,798,021,611,307,108,821,349,116,969,058,325,793,203,698,
674,292,755,082,440,036,914,165,836,079,010,439,931,978,776,944,086,373,820,
994,695,897,921,529,959,799,920,697,427,030,867,803,351,618,336,189,582,351,
939,170,002,967,672,452,813,465,134,279,695,866,333,533,308,839,467,597,523,
978,520,957,725,185,055,057,022,199,653,463,119,904,042,250,208,951,088,315,
147,492,223,676,439,701,045,185,187,728,919,109,305,462,985,596,776,166,160,
029,977,864,867,542,767,514,334,740,548,103,672,730,503,143,073,165,690,725,
919,494,064,796,332,652,322,524,595,535,038,170,092,658,837,646,012,960,934,
080,449,766,571,591,853,367,691,999,878,270,640,592,673,587,518,852,313,119,
036,986,400,902,771,294,847,156,417,628,797,275,036,211,974,025,769,834,635,
491,410,524,810,337,578,913,370,737,442,502,159,176,998,240,921,855,372,738,
010,147,820,629,653,877,905,867,130,101,543,730,240,242,040,993,733,254,365,
788,414,337,055,584,796,072,630,657,243,101,079,874,152,921,367,067,933,610,
875,473,127,289,177,051,911,377,260,504,644,273,011,549,543,307,647,586,497,
723,898,116,145,111,774,039,379,033,724,056,584,688,181,729,479,102,605,153,
716,519,806,694,225,155,225,661,973,662,871,559,462,395,598,327,943,647,379,
568,184,048,001,014,231,450,246,366,609,640,919,388,059,612,960,041,083,615,
545,552,489,448,908,989,096,314,076,766,158,943,675,477,873,059,342,243,584,
004,145,410,272,337,505,355,329,877,978,118,078,187,740,336,365,609,614,024,
810,794,494,472,782,337,897,602,043,191,142,600,968,955,544,381,696,886,342,
469,964,013,456,313,315,436,640,423,653,920,266,732,847,876,173,889,805,060,
282,926,104,412,506,855,360,682,260,084,877,521,627,351,543,429,303,189,919,
175,854,538,645,612,990,952,427,284,686,482,159,063,412,598,739,849,141,780,
405,982,374,112,608,149,071,221,261,989,124,640,826,342,540,771,211,723,701,
556,868,580,091,143,968,456,558,217,966,430,095,214,895,614,610,272,732,590,
148,760,335,355,313,574,143,886,877,688,945,500,571,554,791,658,860,978,126,
532,396,169,607,700,013,693,903,665,334,071,939,772,984,351,567,727,038,767,
367,556,869,121,141,894,229,159,223,924,618,313,621,456,553,341,864,500,011,
125,429,914,485,323,631,955,839,983,019,406,052,540,033,112,163,922,333,519,
476,635,375,532,037,785,265,649,499,154,824,633,569,634,394,111,905,047,318,
691,786,959,688,758,651,238,249,412,296,770,613,096,334,671,214,363,145,170,
147,627,787,250,124,295,716,178,579,844,369,794,621,979,825,170,555,209,046,
395,565,562,052,698,420,266,524,777,203,073,617,995,124,820,619,584,535,643,
078,043,346,384,804,036,359,317,203,571,712,539,507,573,938,851,426,184,566,
204,411,827,837,901,696,313,551,656,495,450,742,626,475,621,163,238,434,446,
679,129,597,068,777,586,642,257,308,673,435,686,240,843,412,818,619,753,188,
021,319,224,866,192,933,886,545,010,174,060,370,505,232,473,286,571,901,228,
290,069,488,209,436,972,019,407,943,870,299,416,423,546,352,095,672,490,536,
124,732,711,142,950,932,833,669,224,994,069,120,026,784,631,172,753,596,600,
495,116,835,892,850,161,796,031,378,817,409,666,233,006,255,568,256,351,237,
683,831,930,173,303,433,617,902,771,105,325,727,835,990,871,346,111,981,305,
675,760,205,109,901,430,922,432,120,506,743,118,872,537,387,989,386,131,246,
486,205,394,923,094,228,787,194,134,324,743,400,764,680,165,028,435,312,832,
047,058,693,048,453,948,163,187,399,448,161,532,222,211,132,534,931,772,186,
431,524,506,795,950,897,238,384,369,006,564,971,480,508,023,160,024,356,373,
931,645,438,298,443,369,143,964,662,026,069,356,816,309,238,741,766,684,779,
629,168,136,478,303,181,035,280,284,421,608,161,151,814,441,613,363,813,211,
626,028,602,189,938,274,712,257,977,925,538,126,801,809,475,897,607,495,114,
106,643,317,584,159,001,903,919,854,722,533,774,609,788,053,324,947,215,768,
751,896,620,769,979,058,178,299,718,403,909,812,795,259,723,954,019,741,621,
332,031,971,023,165,477,059,653,176,762,572,396,000,246,412,935,109,346,082,
489,402,397,716,629,290,530,035,774,311,297,657,565,553,891,003,398,237,896,
873,670,067,188,265,904,116,750,231,587,712,398,352,413,859,032,650,221,237,
829,783,947,976,888,141,047,877,653,634,249,006,393,330,942,672,416,754,899,
616,145,750,192,522,309,354,450,750,849,592,761,786,388,125,343,972,646,284,
312,144,082,249,827,911,448,417,682,695,377,922,170,329,366,380,484,774,669,
314,814,553,477,612,634,619,419,468,084,195,829,773,099,454,334,941,669,343,
221,294,237,391,855,111,690,078,046,509,917,305,136,872,654,785,473,267,512,
017,115,353,088,679,183,029,343,116,731,155,447,843,048,235,877,831,492,755,
187,275,352,340,457,395,301,731,825,509,632,684,429,785,547,788,699,197,933,
499,896,737,029,876,357,608,986,130,023,850,353,692,334,312,740,741,137,235,
243,812,392,324,120,784,469,265,004,028,651,927,074,922,778,837,907,067,494,
993,577,227,186,344,609,358,448,141,377,625,560,693,750,192,548,013,037,358,
908,065,199,029,651,206,062,158,058,542,685,992,503,354,707,272,082,656,269,
976,507,205,140,028,871,186,675,295,749,710,916,502,882,250,301,430,645,178,
255,097,960,789,471,527,931,425,666,752,175,480,898,356,955,466,512,510,104,
424,123,853,784,309,058,042,142,796,105,302,291,712,031,672,274,658,064,194,
058,011,854,289,189,517,308,977,486,088,533,315,992,204,803,771,477,049,855,
007,399,915,309,936,403,725,504,638,304,986,919,340,078,604,175,870,828,529,
101,359,554,996,134,659,487,121,613,082,719,747,883,351,293,073,309,158,955,
881,450,829,553,384,265,489,698,968,655,217,587,697,523,271,349,986,169,425,
022,147,350,315,638,145,606,363,043,224,848,632,764,857,166,120,184,215,322,
107,837,819,026,445,499,697,011,216,532,174,381,286,943,082,446,236,827,878,
479,717,687,965,389,441,415,940,223,876,890,115,512,333,036,013,611,702,793,
430,131,123,504,317,314,357,814,038,304,839,190,766,455,843,723,357,626,190,
198,176,033,833,741,048,979,473,814,333,898,195,515,749,419,147,013,214,400,
997,528,338,206,931,865,816,979,765,724,318,423,740,194,761,857,829,807,269,
759,583,771,363,836,246,182,141,401,922,564,839,104,834,887,300,301,749,019,
693,689,943,475,434,947,683,277,695,445,044,208,485,955,933,928,519,603,131,
278,781,211,173,735,664,082,246,857,099,556,880,513,229,700,456,708,194,450,
987,773,568,311,040,358,273,881,412,998,180,370,389,337,538,113,898,792,896,
039,371,047,020,382,722,042,224,604,832,639,880,946,471,326,541,946,862,352,
713,534,845,886,511,853,318,108,823,282,357,184,680,683,496,430,230,406,799,
873,241,823,623,353,192,031,779,128,124,856,495,147,730,610,216,385,221,944,
209,898,391,349,763,240,412,918,775,230,039,973,290,045,826,553,042,455,938,
383,590,070,056,956,251,086,094,149,610,274,241,106,179,564,430,027,106,205,
532,443,335,526,056,967,508,213,022,039,075,504,664,518,057,569,719,270,951,
430,520,710,970,085,515,851,074,088,260,186,304,740,451,501,882,528,638,237,
713,056,241,511,484,676,327,291,226,339,163,007,815,580,793,573,422,593,053,
156,172,327,298,125,370,113,464,575,442,469,419,704,101,525,587,564,704,142,
757,579,824,534,922,676,731,311,040,334,867,080,860,474,511,158,453,058,030,
291,709,267,755,237,225,451,373,771,789,444,994,973,145,275,078,495,700,215,
913,155,072,742,053,374,520,598,051,628,657,851,861,520,341,391,109,303,898,
689,823,074,276,245,415,056,850,895,665,855,210,074,277,669,678,577,661,569,
444,941,865,994,483,975,763,048,734,598,073,691,282,489,842,041,629,344,691,
371,855,220,795,281,001,636,790,222,289,271,121,203,818,519,101,283,278,395,
673,851,321,823,246,315,390,430,355,229,867,533,801,922,837,095,979,481,566,
324,893,606,488,064,418,005,011,496,868,750,948,200,810,330,938,909,124,909,
600,720,026,385,957,315,688,751,601,785,697,385,685,614,469,383,367,640,369,
416,985,213,580,858,160,643,704,640,680,114,046,653,594,708,307,697,934,857,
518,182,264,864,610,707,626,909,217,710,567,374,417,663,859,400,790,570,864,
809,842,549,947,855,302,667,133,475,738,589,127,800,141,235,515,438,250,590,
010,459,586,228,357,313,100,682,002,187,165,691,470,692,226,706,319,333,327,
388,660,400,528,746,793,236,460,423,009,990,272,824,996,727,846,106,019,605,
510,918,276,792,629,446,017,893,589,617,049,540,213,157,552,906,865,007,515,
526,129,673,983,069,319,937,886,554,110,241,078,009,824,716,654,628,896,478,
393,830,648,546,227,331,560,798,497,291,041,564,250,139,155,717,471,975,399,
629,741,746,189,365,662,169,245,749,178,671,986,086,797,267,348,201,597,134,
839,431,394,690,648,805,374,861,640,240,639,119,071,945,546,371,855,995,209,
945,952,287,287,552,101,592,723,079,971,005,961,875,294,737,608,785,753,387,
400,890,688,950,910,986,745,257,390,295,179,246,932,578,716,359,059,881,628,
382,958,974,581,237,269,434,357,043,372,235,685,546,149,290,873,749,659,908,
292,665,998,328,054,618,578,989,503,988,017,953,258,372,380,884,894,023,240,
546,203,800,509,746,153,145,373,712,989,514,651,979,878,697,734,070,684,366,
314,866,230,282,279,578,262,860,611,249,583,989,902,854,428,763,642,146,637,
720,324,916,763,575,027,583,349,521,497,068,103,263,146,419,615,260,372,002,
547,396,131,917,341,643,397,150,755,740,616,170,049,887,118,739,313,477,828,
681,589,460,585,617,927,452,275,947,779,138,204,270,860,583,547,362,989,410,
136,450,226,387,562,765,596,741,638,219,855,459,817,505,210,870,449,624,884,
717,406,889,655,251,939,852,139,463,700,175,883,735,335,656,812,502,115,624,
414,715,924,532,933,789,008,125,656,097,560,877,302,667,608,695,300,877,307,
415,460,113,873,166,928,347,233,103,867,129,823,229,525,504,745,805,120,292,
825,741,387,287,772,536,661,474,009,911,749,702,587,739,102,032,569,702,577,
644,367,570,041,825,332,751,077,660,445,811,651,690,043,078,959,986,315,163,
309,256,088,047,185,975,944,051,490,769,036,999,577,272,198,463,385,295,635,
465,491,956,839,402,813,737,931,209,247,883,619,564,721,504,296,039,668,372,
014,699,029,820,115,787,168,606,340,099,702,445,177,752,367,502,464,848,911,
056,035,926,210,587,194,357,438,948,217,957,793,345,638,870,430,348,725,096,
572,511,524,083,860,657,427,835,267,012,716,605,102,493,119,969,265,489,871,
707,256,349,554,404,199,687,319,969,784,696,973,074,093,019,466,575,900,949,
948,138,106,489,210,169,531,008,208,842,291,785,166,272,444,969,136,802,057,
585,108,399,316,776,663,997,505,076,490,605,240,000,022,848,260,455,615,057,
336,966,404,242,258,656,560,828,002,699,916,650,359,106,812,152,776,866,664,
537,588,851,879,723,376,912,722,891,501,725,472,770,136,569,670,706,015,795,
052,825,204,894,718,780,831,110,740,166,033,341,777,645,709,407,010,914,686,
967,670,014,193,237,029,004,744,127,409,610,518,116,625,446,158,882,652,276,
304,166,571,427,492,501,657,449,430,290,616,549,750,100,346,776,430,440,364,
420,915,359,749,340,837,573,153,506,300,108,719,229,035,409,725,017,997,165,
433,257,296,578,785,542,371,049,592,008,202,323,807,539,460,852,669,617,289,
341,418,517,414,096,720,261,781,588,794,369,936,460,975,763,707,668,494,658,
224,359,763,619,165,620,901,956,323,410,079,354,507,460,209,361,985,034,760,
503,071,716,787,753,843,473,175,184,324,962,778,052,156,517,930,450,783,388,
106,937,569,933,930,524,781,747,454,593,335,481,757,468,194,469,900,416,413,
303,065,437,655,051,676,820,388,536,514,207,730,765,346,112,430,393,870,158,
669,941,630,484,794,068,637,426,455,213,974,089,698,271,810,921,938,698,576,
901,984,678,994,150,895,636,869,139,835,684,853,001,336,213,098,678,261,083,
095,172,861,138,350,710,335,773,140,603,209,008,443,080,562,328,433,503,686,
229,764,119,653,440,358,772,263,722,267,223,142,503,672,024,538,847,367,835,
069,346,953,837,791,335,193,467,956,163,087,470,442,967,920,602,710,935,194,
168,016,043,719,183,112,860,519,485,432,454,044,900,938,242,938,857,112,615,
241,953,671,550,117,783,354,331,763,638,107,372,942,096,672,004,647,063,595,
373,969,340,197,544,531,417,282,652,287,695,993,228,411,612,230,437,867,222,
773,367,498,387,439,789,309,429,750,721,037,796,201,961,109,393,044,422,108,
250,759,030,563,707,733,208,159,585,216,570,809,714,303,881,640,813,723,879,
712,280,243,224,470,552,055,525,376,799,859,250,645,454,544,967,390,684,992,
149,421,325,347,639,304,728,972,234,233,117,068,587,560,960,673,671,577,144,
838,386,926,384,196,340,483,397,205,669,506,717,414,971,247,806,803,479,510,
951,444,663,484,679,244,278,820,398,849,320,180,011,402,362,641,339,238,902,
679,758,168,931,460,946,927,110,177,972,936,551,070,743,235,147,987,037,492,
503,016,321,798,690,612,210,610,344,151,748,040,832,349,360,553,274,336,668,
977,739,577,050,388,433,715,334,483,854,898,210,013,373,760,657,266,817,115,
679,409,704,716,561,845,985,058,061,115,722,619,722,517,957,954,180,067,793,
015,527,735,754,530,433,056,492,900,917,461,035,679,124,559,707,461,205,446,
796,287,268,713,213,101,531,717,840,597,157,472,586,960,100,211,275,357,207,
292,260,802,266,380,222,305,978,622,231,087,119,910,175,649,949,860,123,563,
530,370,905,732,413,327,457,823,520,606,577,718,463,648,537,969,301,261,632,
846,744,810,830,400,634,794,039,351,322,081,266,654,385,540,168,501,250,142,
792,339,463,426,396,125,437,717,082,635,574,017,256,130,754,577,760,150,656,
712,033,850,036,707,015,770,674,282,189,847,605,630,596,075,651,508,138,593,
104,762,752,874,016,165,232,515,270,257,659,935,543,512,476,682,774,196,724,
605,498,359,120,958,823,500,003,028,354,654,524,975,272,473,171,037,417,533,
076,787,739,183,839,158,413,197,017,481,137,423,402,529,270,214,300,962,686,
047,517,318,539,421,746,584,163,253,111,490,891,872,197,768,240,960,317,791,
514,157,379,596,837,394,093,262,749,032,846,765,005,293,801,467,958,022,192,
968,082,724,052,404,999,677,828,113,259,171,078,985,102,142,974,729,064,173,
127,225,900,695,263,995,912,901,835,052,140,530,818,017,063,618,185,978,016,
649,869,466,462,786,828,922,664,926,310,968,954,838,743,951,618,431,981,602,
863,508,095,508,067,480,824,183,384,233,178,610,667,929,375,268,301,777,373,
184,870,561,731,024,498,707,194,905,684,541,387,453,664,771,263,589,617,834,
995,546,349,179,088,929,326,836,948,257,359,124,958,744,008,895,801,862,747,
126,109,472,162,227,062,790,803,977,436,024,741,546,453,090,926,646,002,350,
655,407,713,759,044,694,901,787,264,460,471,976,407,260,571,023,140,220,152,
965,802,715,997,559,447,685,929,323,620,135,687,267,028,715,428,440,651,188,
425,062,636,810,271,981,281,370,842,014,325,995,282,413,439,881,869,033,131,
543,013,072,627,894,552,286,838,516,102,712,202,381,892,837,217,036,886,858,
867,181,005,199,910,749,000,664,779,509,834,183,377,428,340,443,718,652,528,
751,235,647,425,020,272,247,019,127,995,943,160,924,813,936,012,959,143,439,
695,016,700,407,200,287,538,947,345,574,096,164,731,206,718,092,300,978,354,
124,318,068,105,018,297,395,488,156,636,827,710,851,474,554,511,334,155,762,
345,936,799,188,891,496,433,834,974,323,869,051,870,088,359,555,987,053,191,
169,830,362,034,796,688,830,480,337,065,886,467,510,573,196,427,560,175,316,
096,299,541,714,678,711,336,184,304,150,699,923,543,335,940,093,269,298,443,
275,118,948,773,561,033,251,466,650,086,727,662,611,853,749,384,479,015,848,
964,171,289,479,497,816,755,111,698,030,939,780,952,773,504,788,468,955,938,
001,740,531,721,533,679,176,159,449,185,527,212,460,913,530,617,419,077,170,
227,214,349,447,114,242,757,202,099,515,655,035,946,579,508,812,575,439,225,
107,631,005,428,584,191,455,008,692,184,398,997,507,722,202,123,363,087,454,
897,396,337,979,653,795,008,652,250,254,004,923,084,000,634,838,157,169,484,
822,849,347,153,931,793,919,856,190,718,837,164,525,960,874,170,702,060,325,
815,635,085,447,646,292,598,718,108,701,182,920,371,922,143,736,406,512,373,
231,778,391,304,288,861,205,464,969,648,451,953,342,943,943,841,786,090,514,
956,630,442,396,824,136,159,440,379,543,237,153,209,233,738,730,876,275,850,
537,564,367,872,778,777,019,365,370,049,197,419,364,693,919,725,994,499,955,
941,310,807,055,041,881,213,377,332,300,163,086,759,801,353,283,517,326,383,
004,615,558,174,161,478,922,885,648,519,698,895,640,974,613,544,450,681,291,
582,122,873,800,684,342,655,314,907,244,151,659,094,208,242,850,135,985,011,
485,919,425,350,113,142,102,517,584,717,181,136,677,947,906,466,574,637,839,
672,458,981,195,493,896,702,154,485,324,443,507,263,639,956,407,466,199,830,
962,790,844,906,134,882,412,605,648,996,809,926,239,716,561,947,983,872,752,
430,171,509,853,474,389,292,650,098,291,786,070,517,853,851,408,088,160,592,
220,506,871,522,152,046,334,279,681,284,971,268,542,801,797,275,946,757,825,
131,805,793,247,654,793,595,821,297,929,109,252,583,711,586,637,847,442,445,
435,150,194,565,941,799,332,102,574,526,966,202,331,230,925,879,677,087,049,
954,112,403,974,304,218,749,584,762,672,699,173,670,255,265,187,548,433,607,
015,098,519,378,420,677,472,317,332,718,330,658,912,010,125,639,746,298,579,
559,115,922,484,478,624,128,961,725,023,674,092,973,352,282,353,910,568,195,
921,200,263,994,593,495,225,673,544,558,498,749,324,230,587,171,984,747,718,
473,189,961,275,150,888,776,770,896,512,469,560,691,878,540,994,196,979,719,
223,250,562,909,207,594,115,282,351,835,627,860,423,507,452,254,334,344,122,
599,187,112,430,014,107,261,424,167,144,865,814,082,322,348,170,928,204,283,
502,229,155,576,847,441,396,856,349,300,482,318,641,082,113,133,875,010,543,
473,298,037,309,020,294,377,429,634,039,908,775,928,452,859,156,821,364,139,
753,177,995,997,143,898,634,437,977,030,154,042,455,716,605,093,607,491,151,
120,314,997,661,514,393,181,075,572,778,314,903,521,447,999,371,571,448,932,
724,925,762,418,230,164,517,663,997,281,249,229,284,963,084,521,093,585,495,
996,193,968,769,276,451,401,944,003,322,060,669,338,184,888,096,652,465,818,
666,142,806,933,865,820,301,505,677,914,851,620,127,769,172,111,388,317,403,
426,232,072,161,223,909,175,278,647,396,450,426,983,728,399,971,604,839,020,
924,295,049,653,976,609,894,819,986,853,296,950,997,941,552,400,463,425,505,
648,916,952,740,713,270,614,896,953,378,641,571,432,583,843,771,351,366,506,
131,323,702,680,107,464,019,100,815,121,297,141,697,012,872,244,895,685,005,
693,693,370,890,672,039,368,040,932,870,803,904,728,360,063,380,673,053,052,
512,361,850,589,568,660,337,646,295,305,556,509,865,211,735,903,320,270,755,
471,174,522,633,286,662,338,616,274,934,850,506,852,692,141,605,087,336,236,
450,700,691,062,459,998,895,985,134,745,847,557,944,829,285,310,131,928,104,
109,476,307,244,344,272,773,964,040,997,032,059,640,265,774,991,026,635,887,
467,572,408,779,605,180,857,254,770,439,438,376,905,626,163,228,622,349,925,
998,946,366,163,644,728,679,682,394,909,341,593,651,430,417,147,704,217,618,
570,680,050,537,271,545,008,608,878,161,310,600,078,328,051,871,919,585,944,
854,393,170,243,966,603,532,176,441,578,932,942,278,367,759,235,391,690,879,
639,170,961,161,317,973,256,030,040,883,746,306,762,127,032,405,502,739,236,
157,762,807,005,520,134,705,862,561,567,065,423,703,016,560,372,683,942,865,
719,489,315,143,077,442,884,328,327,050,843,417,106,499,768,373,082,589,789,
098,702,643,990,310,087,001,541,247,467,082,407,059,900,078,671,686,309,743,
250,898,967,055,147,357,352,112,440,535,177,550,045,759,522,187,301,780,334,
301,029,921,001,109,218,777,323,014,255,437,821,940,356,397,204,448,851,762,
146,815,178,730,649,543,910,976,263,240,878,323,765,996,789,631,170,937,463,
401,212,181,515,701,730,830,634,619,408,198,160,394,487,314,838,472,929,259,
518,547,295,263,407,848,268,285,861,522,764,478,921,448,855,530,495,270,343,
904,062,827,162,913,675,288,813,799,116,813,790,726,401,768,866,681,359,782,
785,082,987,943,070,788,423,112,089,929,324,732,456,807,308,912,504,612,372,
405,820,289,141,602,797,021,075,780,404,759,954,397,020,714,369,233,245,460,
929,291,312,794,930,637,568,359,598,255,906,984,415,894,580,620,005,225,448,
192,694,499,307,307,839,450,705,113,625,895,738,472,643,164,962,300,001,332,
600,220,564,483,796,242,107,821,169,965,121,192,153,837,994,485,246,877,368,
303,633,008,927,748,433,869,376,891,092,515,158,121,232,992,038,312,779,943,
095,203,884,951,879,605,533,567,139,633,809,870,681,918,513,506,242,417,925,
286,639,038,408,175,378,617,466,258,673,342,136,061,682,753,000,478,393,302,
602,492,590,716,277,708,718,756,253,183,602,002,554,730,868,425,836,297,880,
628,779,317,572,366,280,236,930,161,867,492,898,030,167,534,562,533,982,877,
158,914,620,209,408,003,963,002,912,504,163,459,390,073,156,911,974,974,857,
084,443,329,879,885,359,824,427,757,985,827,037,156,749,430,744,781,083,837,
490,739,017,323,008,519,841,463,694,007,129,840,631,924,722,416,703,607,992,
833,118,987,645,187,816,595,660,207,769,221,750,456,113,979,033,323,538,171,
051,911,329,767,339,751,215,699,823,331,910,279,627,235,503,963,643,294,347,
492,983,508,172,560,988,179,071,002,765,950,014,545,308,959,867,084,755,476,
756,725,918,351,805,164,986,812,466,769,578,051,035,952,367,056,048,179,152,
044,114,869,191,654,982,404,154,492,296,480,124,212,990,317,663,864,474,909,
092,968,643,349,366,264,555,950,029,009,496,013,240,360,339,733,013,592,965,
024,627,074,481,322,950,384,974,151,534,327,906,916,478,473,381,299,980,582,
984,352,626,956,249,306,454,300,581,859,294,988,062,545,266,754,180,794,737,
178,358,434,507,749,689,631,070,310,314,999,264,170,329,805,444,890,011,663,
151,007,662,936,958,883,983,858,021,391,481,784,588,275,036,794,259,784,719,
276,404,293,320,309,499,857,188,083,549,973,848,846,612,633,556,465,190,588,
441,782,768,628,592,978,737,385,131,165,107,968,421,463,322,620,292,505,324,
962,511,087,085,505,290,694,128,991,714,543,099,811,620,469,383,802,317,040,
746,774,417,680,586,327,244,938,864,895,473,419,860,042,510,879,117,795,706,
356,407,474,298,780,545,774,961,036,220,862,802,220,610,509,486,008,303,758,
381,052,046,361,145,686,188,958,334,013,774,717,609,615,005,479,811,078,467,
560,410,065,315,321,798,897,285,505,801,698,389,174,578,954,542,878,634,179,
136,383,695,667,252,854,416,270,694,910,008,299,481,596,988,741,234,516,967,
910,073,517,988,085,825,833,306,011,156,777,886,490,712,245,025,959,266,978,
597,972,041,347,996,116,759,390,576,478,407,716,178,775,256,381,502,116,662,
054,356,216,349,356,678,364,027,714,776,547,006,789,790,619,446,525,018,996,
058,730,641,135,628,088,477,722,062,888,589,183,689,813,098,046,319,763,780,
582,183,465,930,075,760,371,577,219,220,147,142,969,847,763,568,694,695,160,
459,840,049,227,572,586,970,674,720,140,563,031,891,794,061,335,576,645,233,
924,323,272,131,544,534,224,639,634,204,079,158,494,802,208,885,523,943,969,
648,046,193,363,187,552,140,563,550,568,567,679,228,332,519,055,396,433,548,
803,173,418,285,075,540,312,238,496,318,981,434,078,752,207,269,427,004,194,
721,689,240,244,547,427,783,683,494,983,475,390,370,901,319,193,079,163,307,
138,495,650,605,279,497,805,098,980,435,368,310,705,000,639,205,059,745,790,
808,703,912,919,709,382,289,508,215,762,796,935,085,657,484,360,853,627,674,
457,625,837,948,866,879,542,032,243,098,647,301,557,441,426,573,874,076,149,
458,142,749,496,079,212,744,462,604,463,480,841,076,368,512,895,756,652,812,
585,755,782,342,204,916,165,995,833,673,220,710,215,511,407,723,218,388,794,
804,854,741,992,871,133,217,200,947,956,909,640,708,354,765,645,785,473,942,
060,088,348,578,038,614,407,664,286,182,833,408,258,365,303,826,924,081,850,
281,517,436,856,414,580,819,413,242,056,720,587,995,991,137,810,267,641,940,
462,752,876,792,078,244,727,761,347,562,201,487,775,979,176,903,130,825,701,
643,497,719,075,763,823,285,106,250,241,255,821,582,099,098,025,366,123,205,
231,326,984,957,745,518,827,769,960,525,262,334,059,731,887,616,786,436,662,
801,720,561,559,404,187,196,401,509,914,232,083,181,574,415,001,512,044,574,
294,964,534,585,977,956,117,277,106,707,770,704,147,139,732,183,411,730,079,
053,224,752,427,991,424,610,729,504,336,400,459,039,251,372,335,209,227,868,
814,774,712,197,844,015,692,929,544,478,139,429,297,859,122,559,171,681,486,
121,631,981,679,368,739,102,144,660,186,187,475,776,329,584,550,225,502,344,
019,809,347,116,629,804,679,506,366,740,152,865,263,389,061,339,269,263,374,
613,680,086,792,223,245,190,850,860,588,254,656,709,398,939,566,081,659,604,
302,643,191,848,331,235,431,510,239,167,232,337,246,595,864,719,570,484,922,
213,832,365,613,729,564,852,571,103,944,610,640,010,486,126,836,227,586,346,
045,820,307,871,390,018,326,167,571,311,061,795,319,145,593,382,185,462,327,
294,814,307,201,781,205,448,259,180,220,313,137,914,632,867,785,534,154,515,
259,390,654,345,432,256,002,103,924,110,739,683,569,285,295,451,488,501,791,
480,997,496,108,232,958,831,593,041,887,648,115,878,808,056,657,650,618,542,
696,192,265,483,012,064,166,741,243,806,753,941,844,015,313,662,062,513,958,
706,644,655,368,684,920,233,052,182,275,622,723,150,424,522,277,624,659,091,
462,677,052,374,634,967,802,004,084,629,721,936,041,689,565,833,600,195,646,
485,372,860,006,696,098,936,046,763,598,690,303,437,999,336,350,642,485,570,
743,981,188,566,583,356,570,789,686,525,759,975,536,555,351,695,354,890,362,
871,482,448,891,724,720,540,186,643,943,930,836,343,444,329,489,535,644,413,
955,738,026,830,807,290,866,440,791,711,922,225,283,572,858,770,823,269,196,
483,228,538,307,971,192,887,318,408,578,214,029,638,318,486,611,798,584,921,
877,342,234,623,739,468,838,708,857,251,470,609,584,534,911,023,704,816,049,
811,332,445,372,482,548,873,319,887,633,627,765,240,379,803,960,755,350,919,
313,421,230,890,032,015,867,924,193,476,399,040,147,353,840,561,530,327,110,
031,064,387,353,042,630,732,937,517,924,848,665,323,052,701,642,748,710,909,
166,064,693,696,009,256,307,068,287,674,676,323,990,167,658,499,525,281,885,
997,603,719,920,780,892,710,248,360,711,135,353,986,753,091,396,378,162,660,
575,654,674,302,878,741,590,181,465,868,192,684,821,901,107,724,943,629,057,
951,774,666,249,388,087,909,857,554,994,564,064,019,960,223,592,365,833,512,
603,780,795,562,505,964,569,029,847,429,002,426,731,471,900,949,013,848,149,
684,188,990,379,751,091,797,795,767,670,635,833,695,967,882,009,394,628,014,
698,916,131,795,800,182,826,288,116,580,760,093,859,364,625,557,160,184,867,
765,692,228,177,136,643,438,119,652,307,450,375,661,464,241,230,761,699,876,
165,946,260,340,474,725,196,898,776,324,380,401,548,558,298,346,064,374,530,
546,022,623,114,989,035,239,798,922,041,192,968,073,910,313,414,992,645,212,
023,711,529,924,794,064,161,260,087,218,275,792,680,567,487,464,272,598,467,
511,766,781,798,730,460,247,795,116,411,313,122,648,870,117,192,642,267,871,
367,107,502,491,991,353,161,078,782,360,062,737,935,488,623,903,720,868,272,
450,699,435,734,001,569,680,578,532,381,272,138,935,014,066,491,685,249,687,
287,355,528,325,704,939,414,731,696,468,267,907,422,988,648,527,190,882,420,
841,346,243,480,925,902,247,025,998,037,022,516,261,281,579,348,034,557,183,
776,277,654,919,648,029,767,458,754,618,080,046,105,196,004,054,263,722,629,
628,554,603,292,978,622,326,663,403,635,738,789,674,370,421,359,008,651,435,
268,106,657,739,297,446,224,248,012,400,732,870,185,726,770,314,746,966,498,
987,464,429,274,031,076,993,281,108,239,760,542,867,640,986,214,499,081,896,
517,176,564,268,875,043,923,469,425,466,466,769,059,321,455,232,233,110,835,
133,523,360,870,864,995,425,554,415,879,406,054,688,480,933,523,240,516,449,
999,159,343,355,326,972,109,997,200,208,553,160,839,922,856,304,051,080,441,
748,871,357,575,706,437,769,640,510,998,405,270,266,499,063,461,728,519,935,
916,409,181,606,728,250,104,747,400,853,494,664,535,943,166,738,122,019,470,
446,693,106,151,745,034,593,505,282,383,294,745,781,130,501,644,466,064,593,
826,674,887,919,229,235,197,613,299,007,013,285,736,642,091,537,760,819,025,
249,404,692,244,926,627,664,155,958,778,491,825,236,499,552,757,774,481,960,
188,046,633,371,892,816,083,000,304,301,807,002,080,201,889,425,617,346,620,
393,164,683,133,879,219,699,204,911,251,842,195,919,168,435,666,179,283,135,
568,703,681,197,001,559,193,042,654,764,247,524,693,848,316,129,871,078,031,
652,926,519,677,414,439,457,500,844,364,512,043,519,589,880,999,172,828,189,
232,729,278,636,128,314,445,191,929,709,918,924,716,043,505,566,592,675,874,
477,673,427,530,907,135,912,808,895,946,083,875,183,009,727,142,869,274,559,
806,243,232,911,602,754,041,257,372,740,467,748,765,322,696,127,840,031,966,
972,789,282,819,782,300,037,165,408,030,508,003,106,774,917,780,689,080,444,
619,662,799,373,235,733,333,835,678,307,200,780,732,108,858,934,185,254,594,
604,299,403,539,674,455,702,498,401,345,843,293,415,747,547,812,415,404,354,
543,591,442,324,268,454,770,572,601,050,175,051,094,954,060,451,670,019,885,
238,034,876,011,340,573,903,137,897,253,763,565,920,073,689,443,838,188,986,
508,499,656,839,660,123,615,850,615,499,235,761,159,740,819,523,583,811,412,
786,303,036,727,480,222,212,983,260,898,486,131,649,726,582,264,987,687,751,
039,048,994,677,576,812,990,178,031,113,731,263,478,418,225,036,295,975,603,
633,884,964,349,201,771,744,416,321,627,831,199,405,228,380,320,728,852,741,
121,817,790,168,401,708,524,932,418,271,434,664,092,672,867,795,336,634,078,
925,943,196,268,276,779,709,620,992,473,792,045,641,430,748,945,214,566,124,
067,933,629,073,063,911,291,843,587,776,495,582,158,680,833,083,660,403,249,
815,587,205,762,999,052,926,743,169,992,812,451,050,916,969,367,400,924,938,
180,803,566,208,892,600,515,542,155,146,741,921,618,800,953,588,355,141,750,
269,610,581,603,909,157,738,385,084,284,332,555,786,981,157,877,863,298,036,
105,178,630,277,290,636,438,071,141,856,806,273,609,290,023,255,261,965,263,
796,239,132,751,800,632,893,869,720,362,188,130,078,389,114,091,666,146,279,
458,323,558,315,999,726,798,780,720,889,883,088,060,543,526,950,224,450,754,
906,740,080,091,028,027,716,565,324,156,763,165,909,541,933,798,066,454,598,
345,094,874,387,796,387,409,123,497,523,533,695,204,706,516,758,871,173,424,
773,438,296,182,175,773,357,654,329,344,049,223,157,192,038,188,548,582,469,
101,352,350,475,076,010,389,619,452,491,371,987,435,418,766,093,155,633,360,
263,303,057,802,994,541,034,349,809,145,728,245,787,784,856,648,689,506,927,
401,045,456,387,640,702,577,817,330,304,059,384,765,798,616,408,308,523,365,
663,257,862,092,107,744,674,986,131,414,646,648,283,811,084,681,997,944,567,
700,536,525,072,390,842,501,243,095,097,956,827,988,475,409,819,467,854,610,
292,705,479,599,342,444,339,165,820,544,154,853,979,598,800,057,792,562,892,
756,574,215,300,399,636,265,085,464,173,258,042,738,053,904,528,490,906,882,
715,367,557,901,300,821,402,196,944,486,376,413,941,882,659,073,003,197,127,
118,519,595,685,174,137,159,633,000,219,445,076,146,780,415,357,916,890,987,
083,425,007,650,878,205,719,510,316,470,529,311,325,376,131,219,947,272,114,
515,995,080,202,847,765,953,694,177,105,691,089,170,253,028,760,841,625,200,
783,809,614,543,662,128,026,717,893,080,448,936,215,413,635,200,169,648,680,
292,311,563,387,315,415,926,084,342,464,126,602,655,550,754,061,067,513,222,
239,107,659,433,333,758,528,914,635,757,484,637,119,701,857,654,261,660,926,
551,469,582,633,231,201,233,927,232,090,628,026,982,868,882,945,469,908,900,
573,648,574,811,917,299,902,607,507,157,932,132,165,440,741,952,454,918,377,
809,184,569,416,347,006,697,162,957,052,713,272,606,753,358,123,004,421,198,
205,647,896,669,180,256,626,789,809,079,795,398,030,116,699,798,334,474,263,
263,857,100,765,720,343,389,822,572,196,757,033,105,577,748,299,081,128,066,
320,822,616,036,560,988,354,759,021,478,275,564,107,309,448,847,052,484,415,
464,280,379,295,232,741,925,597,761,260,357,695,150,313,308,695,048,469,772,
907,216,647,026,055,201,744,158,404,097,991,489,565,693,634,075,701,923,915,
598,120,126,270,041,622,403,562,052,030,692,615,306,386,075,438,957,591,789,
136,167,827,917,519,262,988,720,166,419,214,136,408,610,055,258,304,341,647,
598,391,391,380,149,530,855,553,736,143,417,401,683,454,700,242,217,687,625,
807,869,165,167,495,575,972,726,625,797,322,720,192,594,200,959,983,121,807,
330,245,395,528,327,533,040,063,049,800,555,409,828,921,069,148,344,002,567,
283,138,755,334,071,756,589,470,628,441,748,674,133,705,935,938,130,555,512,
925,035,409,359,258,235,926,990,823,978,793,720,306,747,071,221,488,545,394,
133,058,436,403,436,247,971,454,492,464,207,743,079,268,118,413,779,445,420,
697,002,612,808,286,515,244,768,932,720,040,825,044,136,921,198,730,717,852,
831,510,542,205,243,556,143,843,874,847,824,801,844,125,135,006,789,247,071,
377,813,930,046,398,756,857,423,666,603,552,547,769,343,363,402,066,860,372,
925,420,538,814,416,549,965,425,500,369,819,526,859,615,291,615,173,784,435,
072,904,422,942,692,576,220,738,558,421,644,332,807,382,526,412,099,144,344,
251,685,300,289,237,106,397,455,546,585,540,617,340,089,769,850,591,818,708,
325,968,035,216,962,781,590,623,455,161,275,462,634,347,272,133,125,073,912,
812,180,285,734,121,837,955,070,496,496,339,664,537,564,589,860,504,765,164,
747,429,503,748,436,465,075,342,307,113,825,768,153,983,954,975,152,024,996,
906,480,372,499,973,804,703,523,111,738,926,614,216,112,608,692,518,093,797,
336,236,825,241,193,795,491,787,754,803,478,266,314,164,333,508,807,551,869,
696,241,394,099,136,694,716,427,640,632,088,224,420,432,302,305,921,328,007,
847,088,551,889,171,139,686,736,502,235,114,379,698,436,061,083,333,484,356,
712,806,495,301,162,970,107,163,230,833,863,445,371,434,595,081,681,795,755,
738,483,808,247,825,162,560,505,874,196,919,487,812,134,304,363,976,322,831,
225,030,751,857,964,071,338,297,980,678,595,405,353,922,433,255,254,001,437,
621,555,642,542,363,816,132,860,160,905,916,109,513,782,260,164,388,653,834,
579,412,937,933,589,747,477,793,435,774,981,144,402,182,271,271,240,971,316,
582,319,616,410,597,699,404,582,503,954,752,596,334,652,598,260,650,058,337,
849,830,880,803,150,331,642,838,002,878,736,980,287,738,218,815,322,782,839,
458,278,394,350,416,960,482,884,569,395,533,853,602,077,311,747,454,972,191,
463,303,975,947,946,101,632,382,486,972,415,080,410,215,190,745,398,029,469,
299,768,373,839,622,248,737,203,787,370,231,580,239,623,249,224,909,632,060,
814,943,490,996,415,833,897,453,226,443,147,347,881,641,103,836,030,309,905,
776,598,564,615,596,898,923,481,166,936,721,545,558,330,209,222,263,466,568,
796,777,054,298,536,829,977,388,831,821,579,886,336,110,063,067,518,508,085,
412,371,627,463,351,044,073,745,620,911,060,566,850,900,731,738,360,400,410,
289,235,070,223,161,688,291,823,555,754,428,903,744,233,216,134,709,526,687,
211,642,406,509,919,941,054,788,140,693,963,482,499,023,183,717,391,864,717,
175,974,274,486,759,038,510,758,246,849,309,382,424,627,978,943,505,626,450,
159,127,744,082,688,284,822,586,984,867,516,022,898,765,426,966,049,111,447,
124,010,251,260,451,371,696,510,173,190,015,200,144,347,466,629,002,527,443,
443,962,473,758,096,705,554,769,196,928,603,705,173,980,701,936,663,572,562,
966,766,119,851,024,074,721,381,506,975,590,737,292,849,370,715,587,317,826,
230,247,259,333,324,311,772,491,983,061,548,748,904,130,018,852,905,887,610,
272,680,533,260,860,916,736,458,385,017,174,222,567,203,014,404,040,035,067,
376,756,785,691,900,974,621,310,555,213,854,297,366,171,767,985,500,564,313,
477,701,043,135,999,641,223,416,749,545,475,707,313,566,902,135,785,100,902,
650,694,071,920,303,280,829,396,018,299,641,876,755,624,936,251,290,662,021,
337,171,468,334,883,356,731,916,413,670,190,688,020,699,611,915,871,659,116,
106,476,479,460,870,300,619,066,326,299,999,628,321,722,960,642,433,376,745,
601,021,947,351,882,360,732,545,070,427,678,016,933,436,967,905,408,529,621,
203,229,355,036,433,769,709,466,230,177,000,734,154,511,404,643,273,274,953,
260,496,159,567,465,825,414,391,940,246,522,321,302,831,806,972,698,496,792,
029,105,376,436,383,739,093,101,568,637,886,014,709,061,593,821,394,787,089,
625,251,878,543,046,359,068,768,359,853,456,712,573,180,279,153,727,549,732,
649,942,094,062,445,194,045,556,205,263,662,419,716,589,543,603,154,682,563,
330,898,737,320,345,407,773,571,423,620,910,212,278,052,598,774,633,984,430,
395,583,720,784,003,160,396,678,312,069,805,463,470,543,835,865,271,283,970,
743,514,850,831,637,887,816,246,182,455,497,492,608,491,722,927,589,755,077,
310,481,172,527,712,107,264,344,598,056,327,621,024,690,831,122,621,553,362,
218,139,599,930,831,302,792,030,616,375,867,048,651,808,138,433,193,783,069,
954,894,551,209,601,270,492,679,308,846,630,306,432,501,119,400,890,051,112,
377,139,966,410,573,082,701,074,389,414,932,808,916,121,941,793,686,204,091,
783,284,254,282,779,593,842,910,747,732,628,494,797,318,359,881,705,210,314,
898,043,575,809,815,028,177,193,603,700,800,712,289,039,547,059,926,533,110,
116,274,074,383,501,292,121,865,354,333,330,932,788,959,436,093,341,692,326,
348,047,902,584,615,507,282,158,451,692,539,354,180,752,025,526,106,853,719,
698,774,523,841,801,194,634,482,207,249,419,901,343,176,181,782,216,783,919,
447,227,122,265,904,484,068,213,924,902,023,169,165,163,673,581,905,575,424,
216,978,142,857,660,085,519,488,509,308,320,947,900,012,732,776,957,966,473,
369,791,902,928,734,539,963,083,971,942,064,465,868,712,783,471,561,826,112,
923,392,631,519,217,690,130,853,344,913,657,062,081,229,538,297,420,728,413,
109,772,498,214,517,893,929,702,152,971,480,879,326,593,226,662,421,497,741,
978,739,035,677,681,016,784,781,616,043,562,820,406,039,778,133,351,396,698,
532,724,419,271,245,493,137,306,154,943,945,584,317,683,601,659,940,110,398,
593,030,842,767,161,276,946,820,358,325,419,776,649,671,819,252,548,089,907,
486,342,194,910,839,211,549,638,531,639,290,556,908,187,293,585,551,057,900,
443,246,229,747,624,651,462,423,394,969,526,805,516,865,659,122,162,070,158,
291,824,475,822,751,655,822,871,942,524,276,024,630,979,895,409,163,068,676,
762,094,795,625,743,337,085,316,018,954,249,635,527,071,505,261,328,888,765,
884,441,044,324,307,788,700,841,901,320,273,704,511,030,394,811,674,587,980,
393,032,511,263,606,392,558,397,860,278,025,200,818,322,339,882,357,289,285,
308,398,722,719,109,806,634,838,161,956,517,217,711,003,590,536,669,608,748,
948,556,049,486,109,674,390,505,547,285,100,603,211,832,413,451,364,971,614,
499,276,718,825,728,793,860,711,447,822,382,689,765,577,826,599,815,287,131,
584,784,857,348,901,509,452,941,554,164,408,661,790,709,519,741,539,425,687,
795,545,187,138,225,015,286,986,032,088,900,499,324,469,503,729,952,916,030,
439,402,341,979,941,558,164,969,930,035,366,522,851,605,897,652,119,160,746,
528,731,954,490,959,880,065,597,145,327,466,011,827,717,497,441,083,115,590,
907,785,744,696,202,186,099,584,214,201,612,388,429,298,377,561,134,341,572,
014,057,323,580,936,731,721,030,123,696,398,861,468,877,682,854,307,750,160,
705,131,349,372,866,270,277,747,759,928,232,354,098,486,416,540,241,972,985,
936,751,896,621,788,137,468,221,445,233,671,352,015,556,692,470,875,590,099,
066,915,793,824,153,035,846,409,817,422,765,324,614,409,436,554,709,364,396,
910,273,900,933,579,221,676,998,358,829,844,044,486,534,395,055,249,228,075,
499,194,729,470,672,321,792,456,081,526,659,237,560,467,919,798,134,564,525,
174,947,338,981,952,831,211,635,142,284,805,876,566,382,448,824,766,181,378,
807,257,628,550,286,956,425,530,073,816,720,290,722,214,745,607,703,886,616,
339,385,285,913,598,139,683,636,958,277,923,738,314,309,791,709,448,799,735,
680,313,716,313,221,025,845,143,612,720,584,132,814,482,204,257,986,421,389,
830,450,132,848,349,984,002,211,794,953,756,800,509,650,965,281,196,174,251,
142,002,374,414,752,225,563,465,948,451,482,341,879,667,796,025,718,341,098,
566,963,952,393,282,918,767,980,537,261,334,701,035,506,714,239,071,910,029,
053,434,350,844,674,863,321,349,598,330,028,144,269,742,768,507,588,428,371,
040,392,456,883,292,467,227,794,315,298,458,968,510,353,227,102,119,204,045,
678,677,668,131,778,878,130,487,290,665,313,788,056,291,699,910,485,494,912,
727,191,970,996,699,255,001,764,848,463,697,497,287,374,283,836,302,799,559,
351,498,593,499,523,328,494,237,640,553,425,860,873,210,151,608,512,103,052,
027,463,566,599,676,404,516,110,993,771,537,117,433,395,908,039,654,459,765,
540,571,785,517,955,406,323,989,208,134,479,255,339,507,222,676,383,224,956,
566,621,265,159,965,774,322,533,315,302,163,175,578,511,171,465,567,933,690,
947,284,886,896,630,367,070,132,734,517,378,992,046,723,693,633,766,058,631,
463,444,926,716,157,220,543,095,691,159,193,851,788,615,061,202,288,422,280,
625,857,663,605,677,624,538,335,742,419,719,581,638,349,556,338,038,706,732,
428,114,388,347,541,714,269,120,788,377,498,674,077,900,370,101,256,923,428,
624,071,196,452,348,573,786,667,030,725,067,444,394,943,621,280,598,631,341,
183,019,420,214,510,110,943,467,360,773,079,739,076,325,833,580,826,922,463,
913,722,316,101,113,722,826,622,604,592,203,717,626,977,577,976,160,245,983,
540,664,647,620,684,645,303,741,907,238,957,946,827,632,294,023,681,508,951,
410,241,873,194,440,979,934,367,987,944,118,892,305,467,456,271,804,640,981,
176,699,215,847,002,122,956,082,295,575,420,685,742,476,791,815,139,290,097,
903,753,294,197,220,839,634,004,908,741,354,824,177,638,952,584,519,223,290,
579,298,302,664,800,582,241,962,071,730,818,861,167,596,023,078,426,527,683,
780,235,748,656,357,484,775,048,322,578,339,997,430,394,489,236,243,570,069,
137,920,477,310,653,515,841,872,144,349,287,182,284,755,188,397,906,071,564,
922,531,947,505,631,875,457,124,321,320,732,074,021,412,909,054,450,416,280,
826,848,088,234,008,288,622,067,704,623,127,087,725,828,212,758,887,601,509,
686,056,211,379,239,310,258,161,417,329,861,374,301,785,401,380,287,339,405,
278,683,687,335,629,869,398,511,092,837,229,496,249,794,168,316,384,094,528,
660,668,927,584,855,471,777,893,007,956,333,108,611,207,892,006,108,051,682,
767,674,217,689,926,195,733,915,087,787,846,490,660,129,182,593,315,588,542,
344,212,742,025,826,215,930,400,331,559,953,139,727,882,566,412,195,974,671,
864,749,710,289,661,894,375,863,038,077,277,217,254,737,013,567,988,981,598,
636,701,495,130,145,210,745,443,688,919,448,105,547,639,023,185,014,477,496,
248,490,888,543,343,324,736,657,008,704,414,803,963,310,498,717,086,317,065,
648,961,506,564,210,428,805,513,764,331,323,330,630,593,665,072,529,024,152,
708,582,707,755,925,182,387,897,088,116,150,052,455,545,987,706,701,877,206,
628,096,654,154,632,653,165,184,560,042,029,573,650,386,307,774,707,542,718,
806,816,574,376,813,916,685,753,284,668,294,436,734,282,999,352,526,178,885,
241,768,964,386,426,841,892,350,925,474,937,142,355,819,252,752,818,893,757,
867,876,303,752,855,942,132,646,584,361,922,261,757,291,107,831,253,907,875,
868,515,258,779,577,833,436,250,864,377,566,094,893,007,565,824,132,393,904,
528,783,997,002,683,728,466,445,864,143,513,743,250,605,125,715,593,854,177,
886,666,428,811,928,858,340,241,495,755,575,206,521,722,266,601,752,257,319,
563,998,644,182,331,498,749,005,334,957,576,045,906,248,083,007,523,854,410,
372,628,147,666,571,639,785,260,031,582,373,285,084,576,550,293,255,776,437,
303,288,045,832,564,703,967,937,062,292,998,629,335,442,670,943,325,846,968,
819,690,485,881,535,545,130,812,944,319,060,749,492,647,681,792,768,317,176,
774,458,135,475,186,540,117,346,404,436,380,695,645,279,363,162,499,758,671,
015,474,271,862,502,505,489,520,976,920,584,120,765,363,086,330,169,751,236,
205,965,633,797,668,405,599,289,877,639,947,581,169,584,947,692,128,105,092,
176,602,640,528,594,377,830,813,618,378,322,133,683,643,691,321,974,302,112,
131,844,284,021,888,639,621,749,893,120,231,734,064,787,908,620,835,878,298,
585,832,793,914,041,466,850,269,901,568,277,219,939,911,001,313,576,982,238,
123,175,691,033,258,761,819,120,460,762,502,635,690,957,581,049,737,209,925,
859,672,897,452,146,909,425,570,136,992,080,686,238,115,202,767,145,829,431,
752,626,984,226,949,905,169,544,278,349,133,985,708,744,120,705,655,781,120,
362,165,212,052,297,512,938,797,261,163,246,258,246,601,147,807,051,811,936,
042,154,496,638,097,535,875,252,841,997,858,347,566,293,375,814,369,401,886,
765,627,301,729,143,747,402,455,782,597,018,145,843,432,449,667,126,208,970,
441,884,677,538,548,455,630,088,416,974,044,027,625,990,013,212,334,603,260,
096,811,747,764,151,168,834,185,616,425,101,926,042,558,333,675,245,681,404,
109,127,717,014,578,127,481,232,770,305,347,671,958,421,204,975,041,491,000,
530,733,646,691,371,676,103,084,910,696,973,571,609,051,354,572,986,621,541,
453,737,346,226,749,787,625,961,186,420,916,908,744,400,890,377,191,697,329,
617,730,154,400,178,586,965,730,066,833,681,393,884,318,500,537,815,077,245,
843,670,410,246,004,290,255,956,322,618,524,948,072,121,754,496,914,716,881,
886,719,857,039,180,563,742,406,187,912,629,896,485,561,146,216,959,994,426,
565,728,806,982,156,987,732,665,176,145,547,819,832,019,824,367,133,458,452,
225,603,303,040,568,314,901,729,740,554,744,774,540,544,752,507,571,882,176,
977,702,804,715,395,179,917,390,662,455,996,027,901,197,543,054,618,385,247,
302,411,632,071,768,152,476,010,731,645,835,585,482,222,271,648,498,632,418,
153,220,659,555,487,016,534,439,362,557,636,117,978,114,874,966,308,663,237,
632,758,755,535,309,336,793,971,396,126,909,739,475,311,350,748,845,851,113,
134,461,153,714,375,455,273,628,998,981,042,138,152,330,526,207,924,779,222,
245,929,314,482,996,936,395,232,150,512,083,974,817,251,341,655,363,527,266,
749,356,929,101,567,090,836,282,960,389,139,530,059,503,910,517,309,238,027,
741,537,110,094,387,845,777,295,934,765,539,948,592,246,646,469,042,316,047,
694,500,397,224,954,767,427,532,813,419,772,329,575,204,465,113,316,472,950,
722,268,843,701,468,538,846,757,731,125,272,614,982,991,294,246,988,456,440,
826,121,313,482,198,933,064,433,375,427,058,475,086,635,206,488,166,187,798,
854,337,119,526,605,539,438,206,665,726,948,054,082,950,921,749,073,843,584,
580,471,158,901,349,184,871,968,725,906,076,388,282,379,603,793,568,528,500,
713,449,682,555,391,174,901,296,433,313,972,901,708,566,252,064,149,236,918,
418,666,358,838,237,435,978,893,178,617,623,262,320,130,491,755,929,559,674,
339,559,755,929,571,776,802,184,885,598,684,302,970,484,196,964,536,123,247,
777,156,060,010,939,216,177,668,908,909,524,537,598,807,295,507,289,860,345,
855,814,408,423,648,629,316,316,730,015,091,142,982,520,332,433,564,614,441,
152,669,879,576,822,093,379,030,280,663,257,831,107,194,822,561,445,252,995,
555,307,691,121,412,473,651,647,195,345,327,820,523,717,200,057,387,644,351,
522,792,142,635,569,857,658,673,163,065,644,005,754,746,805,398,159,894,759,
333,331,266,981,094,913,894,002,476,526,458,372,722,836,987,396,211,068,821,
456,399,868,099,094,779,588,491,571,782,918,968,523,620,027,866,346,765,101,
476,529,594,486,669,378,498,057,707,695,496,915,691,014,755,566,167,957,490,
661,119,905,859,156,163,229,567,910,770,908,417,461,409,076,903,320,492,571,
522,199,021,135,481,675,184,316,646,355,895,865,477,108,417,082,481,682,909,
575,788,435,546,749,660,570,155,957,214,943,156,859,096,321,735,355,133,362,
936,550,231,366,808,447,255,240,704,569,613,000,593,653,307,203,806,813,617,
367,444,359,479,803,593,939,719,601,667,653,788,764,067,027,125,799,017,491,
326,275,278,524,192,355,598,591,777,541,262,360,976,206,291,605,973,553,210,
900,749,445,829,006,248,241,692,092,330,407,646,176,568,907,117,682,153,925,
266,873,578,057,909,300,679,304,283,219,176,401,921,882,196,053,375,156,651,
032,375,141,256,239,419,529,091,445,155,258,290,646,884,950,089,908,832,557,
585,150,211,020,421,392,373,292,718,992,366,695,900,389,912,547,218,827,353,
829,985,432,359,033,367,937,157,844,956,148,976,322,533,035,111,666,423,901,
582,515,394,082,568,009,652,012,276,747,339,707,911,063,487,753,686,249,925,
676,457,491,106,119,169,946,644,543,833,322,414,022,592,941,362,861,930,953,
607,201,424,604,311,602,901,018,528,820,761,603,494,330,022,089,311,021,042,
702,729,832,023,869,593,582,395,859,793,635,717,856,873,066,789,882,514,044,
536,481,503,462,044,931,203,550,837,720,757,976,191,399,579,980,566,558,522,
934,965,522,982,509,584,179,128,318,270,862,140,637,582,297,664,670,382,006,
949,216,585,878,294,676,730,282,638,950,406,359,278,494,234,018,749,375,980,
968,325,440,751,752,090,788,237,512,636,975,805,041,896,169,276,124,286,280,
262,335,613,885,302,361,916,485,175,743,894,887,401,591,273,492,946,098,287,
953,368,131,063,307,788,273,687,743,929,840,766,233,902,124,343,950,597,573,
695,965,998,774,707,535,259,406,001,110,652,790,517,163,572,754,143,125,857,
281,648,987,192,286,793,754,616,524,074,490,296,894,402,463,489,832,429,032,
200,776,106,178,443,000,891,675,763,039,829,826,932,884,347,059,538,597,160,
481,818,913,922,017,572,323,229,252,933,778,648,896,603,857,008,437,317,500,
167,863,522,432,761,081,867,491,827,275,804,912,727,191,029,485,627,465,910,
733,992,529,905,503,915,736,709,234,620,449,735,182,896,551,870,310,779,589,
241,007,962,955,751,898,897,419,529,696,099,361,466,562,214,293,584,240,087,
250,270,747,974,045,606,202,255,544,738,873,288,317,891,484,886,697,861,471,
678,807,778,983,898,643,534,112,514,508,714,589,386,021,031,994,399,862,377,
222,241,193,230,453,316,253,316,915,295,385,024,082,247,575,407,745,445,285,
373,843,802,421,796,039,671,549,547,647,510,521,702,501,812,455,595,722,863,
317,290,397,847,488,488,604,315,379,049,888,486,459,869,418,514,965,965,778,
748,015,687,794,234,827,131,225,006,264,056,742,549,051,201,962,413,164,695,
492,546,578,582,411,344,098,431,964,415,348,691,405,733,660,933,221,716,091,
050,084,816,179,174,163,053,665,920,835,786,493,378,055,427,980,936,712,942,
017,186,648,405,579,567,152,296,026,066,990,492,910,665,952,679,813,733,278,
378,738,264,460,390,506,156,681,304,461,807,214,529,976,104,467,539,781,983,
666,641,839,981,507,481,433,829,579,536,545,915,015,734,904,472,487,402,285,
343,848,623,974,251,686,456,764,438,797,518,830,214,517,011,669,757,112,870,
168,456,742,713,513,690,079,828,456,218,489,610,770,199,978,846,014,921,434,
433,167,522,504,309,210,928,393,818,577,182,809,871,692,608,163,896,693,739,
037,153,875,658,672,143,902,932,678,508,467,599,825,237,201,974,982,553,768,
933,274,668,959,837,771,160,824,946,117,522,716,126,462,787,686,590,434,313,
115,870,874,858,980,824,288,803,549,592,913,912,697,374,380,765,075,626,100,
899,439,373,570,691,033,612,526,735,993,483,893,677,289,796,227,358,232,717,
166,409,438,511,487,054,692,314,183,681,633,781,097,310,875,335,352,437,585,
694,805,091,493,497,039,412,465,671,831,180,089,382,184,108,962,316,624,411,
477,013,040,375,721,664,917,063,894,948,541,642,870,750,995,390,311,339,119,
833,778,543,610,640,978,217,033,301,379,565,681,016,694,582,547,815,603,448,
705,979,469,332,581,571,807,329,729,558,863,231,074,077,429,937,579,926,972,
234,295,991,485,156,257,501,197,156,814,892,933,232,683,058,642,010,767,312,
921,326,699,355,709,960,653,535,999,622,840,498,034,032,728,650,429,611,865,
895,638,636,156,316,704,324,886,061,368,388,967,634,675,821,160,779,576,886,
329,351,468,590,644,324,112,958,099,887,246,989,855,275,780,002,309,456,853,
977,223,269,573,375,132,396,819,152,831,562,668,255,222,747,170,463,110,531,
559,216,713,922,183,649,178,740,574,569,157,188,691,212,189,640,980,627,365,
233,586,884,731,938,513,861,167,247,864,789,256,905,576,079,473,784,636,611,
910,859,436,535,515,777,538,603,949,217,028,925,480,933,337,202,808,197,139,
813,871,769,069,144,074,399,041,776,000,796,408,624,078,162,574,667,296,406,
296,865,229,875,461,342,669,073,020,311,422,230,771,812,542,809,447,200,657,
436,255,222,204,998,207,285,898,104,760,411,572,645,175,478,412,241,428,903,
418,281,689,521,125,827,965,429,970,034,524,441,924,982,963,073,205,100,774,
095,634,410,918,857,542,895,414,564,284,335,938,605,551,615,737,476,424,848,
155,746,132,334,596,663,193,256,501,216,979,847,941,676,299,912,134,105,797,
139,106,703,219,437,376,154,027,113,620,911,947,911,514,196,383,717,354,759,
024,988,661,044,500,456,326,571,300,389,255,104,393,865,511,532,853,628,473,
907,994,529,544,789,968,796,694,718,351,198,908,661,603,660,555,027,369,983,
110,289,344,940,663,800,485,482,280,215,214,386,877,676,208,877,202,338,821,
531,716,346,133,949,653,189,237,028,201,305,640,400,822,835,000,178,287,271,
272,214,512,865,477,199,405,807,549,371,600,636,634,692,851,160,648,632,866,
894,836,228,599,727,495,045,138,358,949,324,262,410,858,110,108,339,389,393,
158,148,963,507,130,842,603,756,564,418,571,084,869,818,802,011,836,040,528,
685,742,015,248,645,616,421,953,538,722,338,613,178,317,269,966,404,288,236,
796,454,241,696,629,562,291,571,871,642,747,486,695,345,489,668,483,284,795,
648,225,397,523,346,480,977,338,549,128,142,156,481,248,478,114,770,673,892,
852,276,784,911,370,221,375,734,661,812,657,703,308,733,251,068,164,901,805,
416,830,512,504,801,157,789,977,758,176,096,546,369,801,532,573,130,234,594,
511,061,481,331,495,320,439,374,180,097,261,548,137,331,350,802,979,536,883,
551,483,346,085,351,911,540,389,042,879,489,641,840,074,307,373,836,133,626,
653,304,777,346,180,903,625,681,745,532,186,247,359,660,978,174,442,547,804,
597,027,752,572,402,630,774,608,419,584,893,092,252,799,369,713,656,738,689,
453,026,194,770,163,608,093,144,532,744,686,950,407,553,313,210,437,774,846,
259,470,050,336,385,612,022,446,035,111,702,874,826,970,601,374,550,195,920,
435,883,377,000,743,021,520,825,015,321,527,073,408,378,341,427,690,544,805,
051,944,858,041,736,622,320,691,436,744,929,208,765,393,978,790,502,088,124,
148,790,335,894,002,692,181,298,166,931,833,113,331,844,986,254,686,605,491,
335,066,370,034,056,416,346,067,121,494,041,484,382,050,927,298,573,836,742,
001,634,784,930,676,167,693,927,718,159,529,084,391,297,844,682,690,304,192,
874,562,029,723,950,364,583,400,009,827,464,609,361,929,962,588,874,650,042,
343,794,463,338,447,501,027,674,325,169,461,393,858,130,260,555,101,668,670,
123,178,736,675,664,523,952,347,251,583,985,541,071,382,020,162,102,441,034,
732,704,349,315,530,500,070,048,901,264,248,051,046,516,975,306,946,052,464,
783,991,238,114,099,880,011,346,412,664,865,856,833,740,143,522,608,222,554,
196,098,963,200,534,736,306,803,994,894,368,807,787,972,163,157,153,605,134,
162,495,443,160,991,834,711,498,096,597,489,167,186,331,426,086,798,972,417,
117,886,438,156,400,059,283,944,998,387,368,740,995,765,317,386,714,225,099,
165,830,202,569,233,314,620,382,665,632,767,099,525,163,039,646,095,901,810,
215,268,930,697,061,678,994,558,377,384,000,098,550,129,443,346,211,665,274,
624,660,417,405,530,966,477,903,707,346,154,448,561,251,802,674,153,941,192,
686,679,340,440,749,852,841,950,134,106,203,949,429,485,909,027,929,917,280,
819,584,600,656,065,344,633,524,671,671,079,899,296,246,980,333,779,866,363,
456,048,331,472,706,196,995,248,346,630,189,563,054,720,366,890,803,753,783,
904,660,559,484,609,149,636,063,705,679,587,799,860,284,294,217,116,612,018,
731,518,440,982,749,726,590,255,791,737,841,597,445,775,030,262,770,718,928,
518,987,071,616,971,926,370,624,651,760,235,405,242,806,479,012,648,067,284,
175,481,205,397,409,508,518,596,540,872,287,337,393,839,892,823,629,421,497,
902,668,138,860,942,939,132,968,942,887,780,232,145,500,124,003,944,673,508,
084,508,698,147,034,916,230,403,680,273,633,264,478,416,973,288,207,186,092,
802,720,564,676,853,667,517,102,658,641,808,436,014,066,573,742,046,091,818,
169,857,566,725,527,159,071,980,435,824,934,540,299,613,781,580,039,770,033,
690,220,005,999,800,789,645,195,762,397,967,219,590,141,276,368,155,934,236,
281,213,052,075,518,872,480,783,358,225,671,616,261,360,510,212,561,792,612,
654,810,905,597,806,327,020,168,854,452,337,915,686,193,365,624,732,455,727,
571,195,459,039,874,657,517,223,202,812,343,356,182,673,040,894,948,687,979,
364,260,368,372,543,906,953,447,821,560,354,026,094,529,956,581,664,023,863,
754,591,022,843,737,970,610,205,079,561,673,948,247,180,561,101,372,256,912,
274,621,566,403,702,571,928,287,304,174,956,520,365,051,242,008,514,917,528,
590,266,119,876,312,587,652,043,293,876,450,868,448,225,029,351,532,156,768,
120,835,828,364,810,510,296,362,004,040,791,854,266,547,470,037,897,024,354,
275,002,251,951,069,495,101,666,580,623,483,275,962,952,690,110,576,877,792,
075,421,336,765,548,625,615,489,745,947,923,674,324,547,168,685,857,125,706,
796,158,075,904,398,130,068,909,410,751,726,523,077,813,367,579,210,853,968,
589,513,204,074,216,078,561,687,571,388,019,746,658,460,161,140,357,257,141,
913,123,564,918,545,379,762,594,690,180,820,106,908,715,486,143,354,413,215,
595,319,377,008,628,041,753,893,973,259,827,538,667,953,619,724,708,687,233,
338,192,271,930,746,168,538,450,373,630,230,381,612,061,193,235,090,910,004,
950,887,938,557,888,587,239,561,016,905,538,492,849,974,610,400,504,652,820,
775,138,063,522,050,571,739,069,706,718,120,787,238,798,999,173,683,035,399,
063,744,232,893,496,547,753,813,943,690,411,680,104,336,994,633,574,270,527,
675,860,500,673,351,349,592,698,951,936,883,880,292,148,043,575,137,121,968,
902,880,018,880,245,157,899,578,454,495,907,346,742,357,800,151,552,452,139,
380,838,386,161,510,097,710,538,016,727,532,512,621,156,423,481,729,551,112,
296,417,396,752,148,237,159,259,143,689,586,752,926,876,819,718,720,200,752,
270,871,071,242,418,059,694,159,967,008,066,792,464,604,434,139,923,141,322,
720,691,670,067,243,998,591,234,496,337,235,746,524,665,733,450,354,665,140,
015,945,504,030,172,633,826,875,518,471,860,920,533,289,464,260,087,271,831,
112,718,542,491,771,688,489,696,381,085,491,844,139,205,770,641,151,323,545,
313,794,810,962,687,070,096,924,482,363,415,344,186,596,824,027,647,403,846,
824,398,100,728,425,432,789,647,629,457,608,440,415,694,635,189,456,558,968,
098,802,756,909,645,889,192,623,220,194,209,215,211,971,910,249,782,169,722,
107,330,754,075,777,776,166,172,983,287,805,897,320,319,272,903,373,430,757,
250,589,112,260,610,220,839,652,793,780,210,211,438,627,486,857,197,501,749,
071,619,020,996,533,574,831,033,639,133,836,218,657,481,225,792,260,071,650,
445,778,081,140,031,150,681,794,758,827,069,939,269,717,199,707,306,534,903,
771,544,523,128,235,665,773,472,115,461,801,796,385,577,084,070,035,769,956,
158,369,900,224,028,158,461,946,335,483,249,646,772,818,650,996,453,056,088,
684,654,098,223,077,808,565,980,784,910,851,293,169,453,119,614,582,337,247,
529,788,893,745,807,295,332,874,615,970,313,189,609,368,361,475,358,258,627,
474,186,232,644,167,317,604,418,554,626,548,623,194,866,733,227,400,132,130,
025,876,412,642,986,686,885,933,742,545,531,047,626,298,050,225,597,779,898,
833,392,090,840,681,207,025,692,154,523,043,870,128,325,244,325,792,944,407,
357,991,177,826,852,311,931,549,176,303,729,139,090,259,075,923,458,603,631,
817,761,511,757,018,797,398,496,257,034,732,124,875,664,464,374,322,234,397,
407,180,619,241,431,460,006,367,369,812,574,187,421,786,676,833,059,268,127,
250,278,575,571,214,731,764,889,144,007,886,363,864,838,362,601,257,194,598,
963,067,840,983,340,671,985,320,660,572,634,310,690,836,472,781,698,122,900,
668,034,316,399,092,397,038,334,077,154,311,398,367,010,054,157,347,607,310,
247,653,344,334,929,780,769,576,850,533,017,554,071,588,249,817,743,346,606,
750,904,546,959,199,271,182,950,643,519,130,622,912,926,259,339,341,225,645,
360,869,839,269,949,567,135,741,593,708,604,225,715,493,802,872,611,197,147,
372,385,828,554,240,005,210,675,949,409,060,200,300,629,237,037,187,154,123,
174,456,192,682,206,563,306,169,157,924,385,386,304,321,302,808,824,705,654,
125,562,633,831,683,093,882,799,893,573,578,167,078,601,676,718,336,391,305,
190,956,593,724,232,647,685,281,722,465,183,685,988,521,886,781,282,198,387,
629,637,641,180,559,161,620,770,541,446,291,235,138,785,528,305,455,851,586,
732,847,647,270,173,669,709,613,657,057,158,543,432,625,805,664,352,777,406,
710,275,690,905,646,533,604,614,893,286,047,302,219,371,342,423,694,987,499,
377,307,594,572,427,057,435,122,409,027,719,860,938,112,762,529,895,740,076,
515,484,089,966,261,067,547,673,725,529,750,903,077,891,801,708,122,553,097,
606,228,248,978,013,997,977,405,168,704,840,938,584,057,077,246,465,627,395,
824,037,277,035,051,252,450,544,593,578,817,004,133,643,938,895,261,896,341,
330,825,089,521,505,829,314,230,684,475,853,254,386,245,250,930,525,284,094,
296,000,028,698,506,153,395,855,802,549,444,445,265,374,537,955,685,297,937,
542,442,055,074,256,004,823,543,234,893,520,422,135,426,698,463,068,566,141,
000,639,603,224,910,773,457,110,752,698,582,063,088,153,284,274,073,871,320,
055,321,657,680,545,850,667,623,343,594,710,694,427,430,645,638,093,707,030,
188,300,686,997,897,690,513,066,489,040,749,808,078,862,918,110,496,943,085,
755,936,933,763,794,321,006,156,871,269,641,725,098,544,337,868,532,654,892,
906,955,359,650,209,123,382,077,795,585,893,268,528,581,006,316,112,689,469,
075,575,787,005,868,135,657,758,545,775,825,562,492,750,881,017,219,795,249,
167,607,735,786,406,266,836,833,636,655,468,595,219,959,701,201,658,843,501,
990,185,132,463,182,599,404,254,401,561,528,876,435,612,675,462,670,278,047,
220,442,195,759,116,906,398,101,424,281,992,736,521,410,549,414,330,855,560,
693,614,290,054,383,950,422,859,683,627,322,394,326,759,945,382,698,256,581,
621,685,377,351,910,991,468,026,725,875,980,262,133,840,276,051,114,395,074,
335,422,501,909,461,902,227,883,938,078,213,276,678,487,834,793,062,697,197,
527,978,497,713,832,033,484,359,060,730,805,462,994,631,270,310,482,874,681,
933,891,142,915,081,736,083,094,447,236,120,250,881,811,262,697,281,173,715,
469,923,354,374,300,423,318,864,256,998,673,017,621,950,038,465,036,439,109,
196,660,646,598,186,229,709,296,236,320,969,436,363,827,064,039,500,329,637,
604,522,581,938,581,251,083,456,695,195,282,615,884,866,613,847,648,198,514,
970,973,317,118,424,340,886,191,326,886,631,503,727,631,867,536,663,918,147,
840,111,651,476,326,247,811,042,753,051,935,568,477,152,888,158,285,590,604,
501,273,730,571,142,532,686,613,542,311,867,901,552,058,518,507,845,555,972,
737,320,905,227,915,869,915,596,742,484,017,032,609,135,002,795,082,387,384,
240,922,750,808,556,197,920,086,901,540,579,524,725,736,470,983,291,044,164,
473,219,892,725,576,364,684,705,563,247,795,565,935,516,964,269,596,651,793,
160,744,297,438,861,756,993,562,117,229,201,268,364,373,012,969,681,729,533,
442,032,830,200,461,864,091,879,095,314,514,108,277,519,057,512,699,854,769,
185,393,601,573,155,421,692,333,534,611,136,643,082,316,644,315,625,921,180,
840,772,984,177,189,687,429,290,901,951,722,650,193,888,965,139,410,589,751,
346,539,570,703,091,862,621,805,266,043,213,770,560,019,285,623,664,198,071,
849,097,129,622,192,554,748,287,617,920,732,127,411,425,670,184,645,863,755,
257,435,682,120,061,521,515,546,394,558,615,715,264,231,559,753,371,613,192,
367,042,859,848,123,071,353,088,839,489,075,153,818,074,654,240,036,725,391,
222,015,113,296,294,561,608,180,865,374,252,327,957,847,748,053,963,885,906,
271,843,608,656,393,742,779,062,247,240,320,944,943,314,251,008,524,197,053,
029,300,272,790,906,636,552,264,628,783,012,897,675,732,512,802,935,472,630,
791,937,902,331,241,697,731,149,693,722,240,082,898,432,225,720,099,803,938,
473,288,316,456,243,243,050,504,602,468,906,738,504,464,871,452,588,950,907,
121,062,352,764,063,892,057,205,716,035,576,413,887,953,464,739,119,524,450,
469,513,604,311,093,113,476,061,831,427,311,678,785,340,690,900,229,089,208,
611,164,790,619,197,938,993,550,101,036,210,407,086,661,577,604,774,964,091,
755,147,948,426,218,821,970,872,339,994,199,495,649,601,280,777,338,812,547,
770,678,434,596,121,858,427,200,670,613,760,960,431,759,675,526,245,206,688,
368,835,455,496,631,548,208,560,383,692,312,288,286,688,988,769,361,606,497,
489,902,935,575,751,640,381,153,666,048,865,119,703,201,378,962,572,910,062,
725,168,802,006,013,443,044,008,046,927,332,759,587,622,510,248,157,230,210,
362,032,090,086,148,488,296,939,449,341,591,009,933,193,810,347,867,423,142,
417,021,498,152,359,261,728,434,455,958,143,425,602,990,039,954,642,782,686,
329,485,980,455,668,902,219,181,684,995,616,854,790,061,066,191,758,286,633,
213,750,960,174,249,086,339,813,899,569,166,552,423,957,283,639,117,223,420,
583,469,062,007,276,541,871,628,281,363,026,818,662,066,609,573,896,769,909,
111,398,387,385,549,207,957,886,788,899,471,009,162,391,335,885,515,927,827,
351,775,829,905,806,941,215,361,659,631,674,242,287,812,236,566,736,884,774,
881,469,363,322,889,208,343,798,024,694,904,772,895,460,535,490,990,949,148,
550,416,360,292,120,927,662,475,847,439,274,308,720,044,273,962,268,619,046,
748,483,417,762,410,721,995,385,450,246,353,111,330,153,818,054,755,482,628,
835,791,436,801,181,602,228,187,807,023,034,368,122,743,584,256,142,265,474,
991,457,447,456,075,022,978,221,837,912,810,331,942,676,021,568,195,322,639,
583,413,049,477,334,958,693,254,869,277,581,111,667,520,304,988,426,746,018,
248,139,509,169,728,146,503,667,333,694,803,103,253,183,351,664,169,674,949,
381,197,078,059,668,313,641,722,311,580,623,280,153,455,282,550,693,229,068,
456,069,935,968,006,820,412,920,737,918,544,846,942,994,315,704,832,438,860,
781,212,125,514,163,929,595,146,468,744,068,501,502,690,153,786,397,506,440,
965,575,748,833,362,735,692,997,763,421,645,751,903,779,935,305,310,155,678,
738,131,110,436,644,824,752,043,757,440,830,300,650,352,157,598,133,790,801,
184,863,395,742,628,535,238,521,360,438,354,781,141,249,838,128,222,096,396,
524,444,531,410,384,997,820,078,558,371,544,329,261,223,113,057,559,948,013,
737,105,139,331,723,250,530,918,860,704,122,245,864,350,948,006,512,511,420,
915,868,699,531,791,945,157,186,530,042,009,039,201,569,597,104,071,085,195,
482,589,366,024,851,871,030,593,307,441,747,644,817,179,619,669,365,705,432,
636,527,033,021,921,036,938,295,040,860,928,799,077,812,649,331,509,679,694,
626,621,185,326,470,214,009,434,050,051,914,267,464,416,317,227,351,096,540,
719,982,239,819,840,061,992,588,707,653,647,689,161,048,622,110,455,777,395,
474,076,173,108,142,709,573,673,861,936,452,579,414,905,894,317,305,063,104,
372,349,715,233,135,610,914,546,876,668,390,713,746,866,265,959,005,232,331,
413,597,344,856,344,013,170,129,267,936,018,434,486,319,052,523,752,955,971,
041,350,054,633,297,887,762,595,186,646,702,359,293,360,527,819,534,306,015,
902,154,750,542,742,810,730,980,706,694,964,277,786,595,112,816,825,116,302,
523,333,364,532,645,157,975,581,226,188,446,015,196,617,215,225,936,435,290,
818,424,633,911,954,434,078,493,961,386,976,539,553,299,877,660,058,876,383,
003,571,027,568,697,925,803,025,632,686,489,483,570,758,654,323,373,520,754,
917,626,952,878,133,900,930,952,376,514,503,434,093,849,931,941,606,402,901,
863,892,721,445,469,374,072,677,971,392,658,678,172,390,842,392,583,787,595,
249,325,394,988,395,426,274,359,509,512,007,315,808,728,087,131,757,922,382,
593,167,394,141,536,893,908,148,281,207,601,153,929,931,634,794,828,646,881,
711,299,274,933,055,513,904,985,477,177,523,036,344,451,949,944,107,473,668,
908,932,169,593,679,280,694,330,584,310,839,738,356,766,430,728,538,274,557,
192,176,041,652,447,408,274,265,994,613,302,505,352,350,605,985,526,159,767,
941,037,508,004,474,867,943,273,671,713,387,929,570,949,326,606,975,690,367,
761,063,717,623,630,132,936,330,841,805,728,272,225,350,530,010,860,242,247,
439,605,507,729,107,352,357,207,583,581,332,089,260,297,783,842,842,332,465,
897,194,027,132,506,511,760,607,326,675,550,323,150,607,978,648,145,809,663,
391,707,315,924,605,790,250,342,747,037,217,209,683,909,268,273,938,439,378,
646,617,028,900,346,165,313,715,482,456,693,698,544,217,833,189,097,087,330,
558,546,784,245,345,090,922,974,256,543,950,144,085,979,903,044,497,088,731,
152,393,086,511,058,486,520,127,304,575,989,939,698,769,374,082,875,451,629,
657,408,905,048,359,598,185,488,545,506,751,303,725,281,095,671,072,007,609,
876,326,378,738,675,085,730,959,608,340,628,668,297,281,116,309,527,571,450,
311,515,413,477,340,484,793,840,442,455,217,814,076,318,961,108,989,360,807,
554,475,443,431,973,821,096,905,844,434,973,600,144,664,349,685,524,313,807,
936,674,906,266,479,028,250,239,207,733,738,179,667,546,363,758,131,710,148,
471,302,913,136,072,748,708,452,880,055,291,739,880,387,876,879,918,702,103,
392,193,006,910,684,834,475,053,530,472,388,513,393,823,341,742,770,271,639,
668,189,597,303,027,422,471,869,153,309,216,605,860,650,663,311,410,505,210,
858,954,461,369,776,189,469,744,725,786,649,387,213,377,315,190,787,399,746,
732,356,357,566,968,150,593,311,236,463,206,558,472,407,202,852,897,115,977,
883,617,080,895,347,608,518,640,333,424,157,099,483,904,119,766,324,101,821,
352,889,954,834,342,598,798,975,046,886,094,904,963,207,809,507,784,788,626,
656,876,309,192,690,193,502,738,819,091,848,980,511,330,423,043,287,029,461,
304,936,978,029,763,056,652,640,530,249,188,790,477,881,817,014,495,589,705,
422,904,374,807,667,958,423,516,417,972,170,316,969,938,426,036,009,272,840,
932,079,546,120,864,674,410,972,205,451,082,047,164,971,151,778,130,435,421,
788,072,327,340,035,936,162,895,294,894,078,210,668,932,565,991,582,711,537,
458,165,187,883,859,894,716,976,643,071,288,133,307,058,008,930,366,376,262,
556,371,958,038,996,534,954,545,354,779,983,426,344,167,779,361,961,826,874,
212,044,812,320,712,495,664,444,938,822,241,283,163,221,552,325,372,709,169,
072,123,773,199,545,855,417,287,733,154,475,272,583,665,518,839,806,963,255,
195,069,140,968,269,009,480,338,808,227,949,935,492,547,676,368,972,216,475,
906,197,603,270,636,559,195,515,872,883,263,029,230,626,365,482,943,967,673,
300,784,727,111,139,278,609,627,149,681,980,883,648,763,661,737,262,805,767,
216,789,461,598,674,839,488,523,198,799,347,124,379,518,852,354,341,112,748,
396,251,681,250,323,999,925,000,693,073,724,302,353,562,187,946,352,544,518,
176,508,128,483,818,448,927,746,022,091,575,126,183,347,062,560,888,493,384,
638,345,641,734,636,283,028,511,157,267,046,413,270,685,566,972,365,274,642,
184,846,321,518,620,337,404,399,095,343,191,995,433,076,988,764,953,413,424,
295,567,711,591,571,800,540,915,713,119,455,030,584,757,762,358,881,514,469,
932,732,575,237,981,352,976,172,412,245,611,683,217,132,793,874,374,930,496,
209,910,439,609,216,732,248,766,921,325,102,309,013,766,237,136,441,793,410,
881,259,187,123,244,613,701,279,859,310,294,496,052,178,649,088,748,692,013,
854,488,382,572,348,844,952,569,070,500,254,893,536,157,629,445,694,554,267,
696,836,536,422,196,447,778,816,129,808,390,550,869,864,937,907,631,401,903,
478,616,257,485,981,494,190,065,858,322,098,832,812,874,054,133,827,075,708,
595,197,285,592,413,324,943,197,165,847,369,768,809,464,825,597,811,711,352,
312,166,358,144,592,495,022,054,501,047,298,019,014,661,370,045,357,466,555,
881,680,397,327,876,382,362,963,509,263,068,443,277,363,105,438,234,187,344,
615,500,361,328,143,475,977,460,723,045,400,928,727,214,428,182,390,245,489,
509,230,244,532,324,951,495,130,248,447,863,178,636,415,745,378,160,710,374,
559,399,065,245,636,897,898,255,872,178,483,897,551,426,555,839,553,660,699,
393,039,797,442,857,067,953,414,152,382,943,277,032,422,712,319,188,245,294,
164,437,244,671,099,520,243,407,304,785,207,966,836,043,278,451,224,453,021,
308,325,240,516,554,954,875,448,158,359,192,977,330,250,493,516,076,510,666,
865,554,967,075,108,335,843,694,818,807,398,157,944,505,212,662,223,188,671,
140,023,931,644,688,695,670,362,462,494,185,688,436,565,655,754,395,642,451,
716,895,518,281,175,727,481,715,735,396,608,607,857,647,378,172,262,903,017,
107,308,072,635,402,567,718,858,769,444,062,700,577,079,032,080,043,170,113,
960,333,482,166,196,452,180,334,179,928,763,188,828,710,054,184,809,861,307,
986,955,859,266,930,895,210,443,108,928,220,299,095,299,026,280,592,080,290,
936,730,689,917,850,382,643,643,828,662,925,163,756,597,615,562,909,165,756,
655,441,396,924,305,826,981,690,773,389,277,675,621,179,749,311,588,939,214,
341,343,868,071,642,034,603,749,556,439,711,579,647,735,509,831,916,852,714,
097,837,298,225,452,373,021,136,898,879,184,216,570,744,124,967,999,011,337,
189,386,933,100,351,771,199,049,620,547,050,845,504,110,803,023,999,478,422,
343,920,301,256,268,372,973,060,346,763,206,183,878,923,661,149,912,434,639,
428,154,469,875,040,194,851,134,097,820,309,934,931,628,853,341,079,255,036,
855,004,848,354,627,814,284,927,328,744,375,691,664,184,750,695,987,793,928,
223,342,320,193,821,702,279,650,740,337,238,141,920,369,150,617,456,680,555,
443,933,778,921,747,327,222,196,798,336,548,978,691,807,804,317,689,432,800,
540,280,524,865,710,993,646,826,733,576,010,411,899,782,054,122,336,207,960,
610,433,775,137,163,784,913,745,432,967,776,437,205,818,080,635,186,149,643,
820,857,090,548,008,691,349,816,623,190,116,288,068,343,794,331,848,880,006,
475,534,875,867,752,003,723,138,451,459,182,211,680,841,174,428,040,013,666,
890,237,038,409,157,046,770,232,075,059,789,321,291,565,896,863,197,132,321,
647,829,287,502,685,399,862,145,079,894,613,711,541,854,966,735,561,581,106,
820,853,750,807,219,283,506,681,930,846,958,518,427,192,325,791,268,455,255,
287,452,115,751,077,629,577,299,066,800,702,280,799,962,645,189,997,566,531,
287,341,534,640,646,022,716,076,749,120,890,429,173,180,112,848,767,085,346,
461,557,461,141,011,353,798,206,276,189,706,050,310,837,101,862,418,192,441,
510,812,774,233,638,279,491,562,808,785,579,198,125,723,886,671,721,457,693,
380,431,692,092,035,101,959,067,896,458,299,083,381,258,636,771,823,250,653,
235,504,153,538,437,455,931,743,061,376,655,550,502,345,487,631,067,870,752,
264,623,644,558,851,240,599,133,423,490,006,848,787,828,757,829,619,456,324,
365,458,941,848,154,760,593,349,461,601,093,485,148,605,526,627,935,798,410,
658,990,083,943,327,420,979,790,188,821,105,796,160,263,282,113,244,307,890,
497,336,404,792,693,730,810,367,794,831,242,875,582,877,572,348,934,090,603,
174,043,786,651,496,539,367,658,223,416,721,952,860,184,843,644,377,334,296,
612,737,743,960,997,143,957,422,991,253,140,895,602,779,283,893,318,851,901,
301,196,119,673,671,429,648,534,865,778,262,656,654,773,230,510,763,052,813,
710,228,747,329,564,532,555,681,766,243,428,544,999,677,085,188,025,437,639,
719,047,550,462,660,034,493,073,678,133,642,580,716,529,909,164,445,686,857,
104,176,650,661,057,436,805,060,118,608,883,859,986,090,939,153,206,721,423,
716,234,362,103,326,123,012,735,552,490,797,262,302,377,851,169,365,805,431,
345,729,336,318,482,471,673,176,497,670,986,538,986,896,202,587,358,654,044,
859,510,046,578,040,893,290,668,984,914,443,313,047,161,325,248,194,196,998,
897,808,092,185,285,697,421,503,294,412,129,717,177,141,022,811,225,692,109,
318,160,652,001,739,896,739,179,144,521,347,540,135,965,294,698,751,118,427,
464,617,204,384,801,657,205,982,701,029,248,170,418,357,621,372,755,531,418,
262,698,205,963,283,016,367,013,830,385,058,672,880,696,890,935,043,471,251,
954,186,616,731,973,578,886,204,583,892,161,276,850,957,445,840,662,518,736,
580,483,109,374,847,043,640,324,385,499,373,967,699,522,876,399,168,988,204,
945,876,951,418,341,760,334,679,093,760,403,902,568,238,133,690,931,733,957,
849,601,687,712,749,152,277,469,456,958,101,440,835,882,016,229,177,200,014,
201,503,085,166,515,756,074,596,387,594,919,085,493,041,793,242,599,911,992,
692,053,904,790,632,460,099,160,960,078,373,341,885,280,483,142,316,300,929,
290,567,288,731,592,902,504,760,242,117,195,890,968,339,047,706,624,685,226,
081,043,363,946,991,934,688,746,275,790,325,776,633,314,613,650,512,632,555,
173,918,893,989,079,581,946,202,284,077,000,974,043,469,260,860,285,265,593,
470,527,399,188,254,689,514,860,228,969,866,292,931,440,530,062,254,234,430,
911,236,856,056,250,417,097,928,386,251,742,381,733,030,018,692,711,041,080,
441,178,362,910,563,268,254,325,049,987,746,929,844,059,674,118,064,943,498,
661,254,927,388,795,450,847,781,139,342,884,223,106,613,805,502,791,663,026,
759,262,719,082,992,650,782,934,190,793,679,886,218,018,350,518,879,687,677,
168,896,824,904,605,729,756,866,212,194,866,129,104,443,150,266,782,823,720,
847,297,523,051,669,637,601,326,784,046,125,132,886,737,193,934,668,980,311,
931,774,114,246,911,372,464,970,288,170,796,213,705,641,724,765,775,476,091,
355,269,764,612,239,279,036,712,934,723,722,230,166,601,890,164,698,061,213,
970,908,207,804,557,657,655,108,168,211,318,625,843,524,660,467,212,956,943,
298,689,391,818,649,429,192,555,331,323,117,858,779,444,888,350,913,612,602,
159,647,092,843,107,598,272,584,741,257,432,725,354,498,736,836,698,704,461,
565,205,337,669,680,207,456,745,134,646,766,313,937,665,932,940,612,056,234,
478,466,824,523,681,246,840,147,210,880,986,231,835,723,048,677,740,753,359,
508,663,388,815,900,313,334,906,491,052,774,198,370,782,960,594,632,323,255,
460,510,592,849,996,198,767,585,868,357,350,620,341,632,490,346,218,773,463,
732,507,817,538,507,160,417,418,188,670,239,823,231,743,056,966,210,354,602,
525,349,489,515,873,930,372,015,332,456,771,652,889,854,480,536,724,130,568,
497,718,038,320,105,293,711,724,676,957,266,599,747,659,037,957,317,165,888,
015,027,513,879,660,886,600,207,267,728,822,378,212,453,083,548,879,824,989,
509,894,595,374,648,968,476,302,884,339,381,299,499,993,950,924,524,639,474,
007,375,129,915,502,043,576,372,477,764,880,546,186,667,733,464,068,607,940,
215,596,636,879,368,820,230,726,768,632,357,150,308,877,894,408,735,780,328,
661,517,020,121,848,064,550,706,050,771,873,312,403,747,654,167,057,271,106,
297,152,697,433,485,161,138,865,699,049,540,906,535,536,114,261,367,965,014,
583,130,575,949,048,010,858,617,034,178,271,026,401,030,936,564,343,977,231,
612,245,357,608,534,940,881,835,163,768,554,016,861,335,668,073,574,571,889,
856,524,254,131,921,331,494,938,048,005,396,152,074,813,471,210,763,493,797,
268,508,952,209,046,240,409,705,195,103,712,550,856,190,807,987,217,210,809,
951,513,800,028,111,821,708,380,152,865,574,772,356,652,290,444,523,017,324,
872,464,633,077,206,167,867,697,403,928,270,587,832,076,148,819,969,892,465,
030,267,816,483,262,976,142,107,493,754,952,640,478,099,831,321,797,670,394,
371,887,325,072,972,052,515,249,138,701,392,500,079,524,914,875,390,271,677,
620,082,444,593,929,275,097,999,194,302,295,922,303,099,354,689,964,237,952,
432,429,970,554,066,991,422,795,662,628,853,433,998,773,950,312,179,800,251,
645,878,767,323,017,763,015,679,940,548,691,680,203,356,489,590,430,445,565,
521,371,397,374,361,002,758,650,048,316,049,597,034,044,094,419,149,964,807,
923,980,204,096,215,206,191,913,982,050,230,762,077,355,797,216,307,416,932,
768,775,334,601,175,142,237,180,097,183,675,231,053,431,044,196,446,685,676,
915,658,229,086,588,647,192,338,975,290,506,125,539,920,537,787,184,620,745,
318,256,321,343,238,151,422,465,728,345,670,055,789,494,508,906,266,504,275,
480,885,946,263,877,066,893,538,232,003,289,887,128,104,916,998,343,192,586,
770,907,672,008,295,945,844,254,890,864,280,464,786,685,465,302,698,623,099,
432,048,379,289,267,804,984,364,967,496,835,748,864,502,261,655,709,773,338,
241,942,958,005,599,518,919,346,517,186,164,952,908,596,891,199,544,340,430,
465,586,345,725,565,172,276,944,041,384,864,517,868,338,352,372,347,940,615,
860,666,118,381,109,873,574,753,712,506,871,137,538,474,336,153,971,887,049,
244,116,517,706,049,911,375,362,248,044,780,141,168,468,610,300,173,826,876,
773,801,615,425,672,969,167,431,345,308,203,469,196,170,411,759,490,838,151,
198,431,130,110,654,365,267,228,290,186,884,925,952,717,182,475,616,228,863,
593,669,176,147,254,485,788,969,710,827,207,282,570,839,624,326,971,133,334,
208,544,849,696,252,271,496,495,591,350,998,514,128,635,965,455,295,392,057,
345,975,147,441,887,609,364,253,261,726,772,667,038,953,702,686,086,749,615,
202,931,993,403,872,460,572,706,704,639,569,597,461,035,555,762,132,556,911,
195,163,200,179,553,423,115,918,879,885,269,015,650,389,116,234,328,705,771,
135,936,890,847,196,548,426,118,485,738,497,384,202,630,244,074,490,183,057,
817,017,275,930,039,440,161,546,655,095,524,880,358,564,537,589,863,195,673,
141,070,720,926,870,685,781,795,167,650,295,158,477,370,806,241,618,988,681,
313,097,732,124,422,153,516,224,043,962,094,604,005,683,582,505,267,453,978,
334,932,951,970,286,841,474,777,344,476,836,617,191,202,165,868,845,875,215,
189,569,063,889,597,160,784,179,750,151,500,647,057,829,715,536,585,163,028,
479,500,460,144,783,369,559,537,968,591,384,317,228,247,529,572,164,979,954,
202,307,942,360,117,781,141,847,329,886,606,503,751,950,314,996,287,624,347,
565,956,653,715,508,017,718,792,417,814,613,631,199,470,099,123,228,964,248,
902,250,342,432,876,579,108,252,839,336,026,437,164,168,945,518,151,902,774,
321,253,638,820,917,836,223,990,231,885,548,426,148,957,324,360,514,179,680,
638,422,380,784,147,528,699,794,767,423,269,522,049,184,640,424,864,350,058,
343,103,582,042,965,830,649,426,832,935,650,251,796,153,271,087,488,126,059,
751,421,269,139,055,390,256,412,196,377,666,587,744,120,097,316,152,090,141,
027,879,791,426,711,034,183,790,100,808,474,386,134,957,298,746,144,148,034,
078,521,774,496,694,491,648,249,168,437,436,808,427,089,311,793,072,446,804,
951,711,673,178,940,978,896,966,262,730,276,195,632,604,538,802,338,534,822,
841,264,403,177,798,588,138,597,999,702,307,958,659,658,347,828,756,346,136,
332,197,518,816,234,022,140,241,237,161,296,103,928,296,695,815,135,911,123,
835,732,954,218,455,514,602,843,495,575,500,568,740,212,797,826,045,478,206,
768,016,045,067,117,105,621,087,067,829,883,382,952,310,146,730,141,013,513,
175,676,924,688,045,064,496,153,539,628,624,899,897,440,461,715,366,851,189,
601,369,825,663,008,951,807,188,092,972,709,523,302,632,437,282,962,679,691,
654,624,323,026,602,872,714,761,956,118,234,979,322,168,025,972,279,770,386,
611,587,919,442,081,785,066,677,636,283,653,265,878,585,755,624,279,970,971,
659,517,013,719,083,850,109,605,284,334,340,329,083,451,063,680,707,032,507,
140,062,805,976,424,929,797,361,679,146,273,771,941,183,847,052,903,166,440,
431,724,459,952,661,255,239,271,433,446,413,604,467,629,410,399,701,782,822,
588,881,914,701,251,756,337,605,485,443,777,541,953,667,442,647,641,571,482,
723,013,787,781,289,783,496,521,356,212,837,976,816,882,696,414,093,015,850,
633,914,400,450,248,517,957,005,315,883,810,550,406,749,632,403,237,490,868,
577,811,185,825,116,204,509,457,322,926,097,373,936,349,118,875,351,057,849,
458,273,216,726,663,278,817,918,499,380,249,096,927,842,160,787,015,295,139,
354,164,020,320,899,350,313,754,230,910,935,721,804,311,688,335,696,792,709,
645,847,597,213,725,967,833,453,173,312,567,195,876,837,184,196,156,055,718,
332,679,330,830,704,901,433,691,528,561,533,859,836,132,837,707,449,072,217,
176,338,742,930,189,867,994,335,575,344,541,597,992,096,107,917,911,377,068,
045,333,502,215,170,089,412,132,234,768,083,984,697,273,784,135,145,173,467,
015,049,386,941,316,926,504,761,777,683,754,670,469,693,501,406,560,891,232,
275,096,095,109,266,279,130,945,294,822,399,995,510,575,319,575,970,513,387,
107,316,865,810,359,798,034,652,225,699,941,459,231,549,173,995,388,739,876,
535,669,610,374,234,875,231,360,618,394,023,816,631,424,648,327,048,720,746,
006,202,375,866,613,683,954,542,439,381,383,923,421,487,316,987,170,868,164,
092,236,232,828,759,933,828,206,100,499,224,672,634,511,860,076,599,269,707,
550,000,738,543,551,835,969,520,066,066,861,780,324,309,376,344,292,012,884,
714,353,600,929,878,888,485,005,843,478,468,769,120,239,587,584,386,980,527,
863,845,366,202,112,711,319,644,012,951,386,836,189,971,574,924,810,476,981,
795,406,248,228,222,578,637,760,318,969,649,021,192,809,138,697,809,584,612,
779,654,420,238,930,175,568,664,997,746,093,659,763,746,409,551,957,734,379,
129,532,604,068,362,515,426,372,697,688,117,479,764,079,234,950,318,772,292,
621,332,125,170,758,657,927,588,615,218,132,843,413,916,206,076,465,231,542,
111,651,639,240,810,209,007,420,726,436,654,067,580,449,833,064,375,712,754,
627,296,595,592,413,142,139,930,836,560,368,613,390,938,442,297,223,462,616,
927,876,836,044,752,663,249,828,041,606,492,669,060,571,646,960,304,727,512,
634,039,578,307,005,851,216,703,561,446,329,807,024,868,786,540,594,311,827,
411,956,494,096,378,718,367,175,510,169,983,441,709,816,644,695,562,944,827,
799,573,151,798,339,014,787,060,079,059,928,958,252,265,883,531,219,639,341,
538,792,359,959,596,525,437,706,082,107,710,736,435,075,442,963,519,096,986,
033,625,045,497,383,564,185,156,612,957,181,222,307,409,038,532,631,845,985,
682,656,017,351,486,272,114,426,495,050,960,245,329,766,270,269,105,055,488,
084,838,813,769,378,603,644,698,278,651,844,456,342,964,515,147,080,965,529,
952,404,088,961,642,198,602,811,268,048,377,554,626,815,567,264,252,282,686,
875,258,056,986,868,257,082,001,905,313,476,913,585,357,943,013,558,341,028,
114,082,307,044,680,085,363,995,449,319,639,440,929,130,908,439,806,989,595,
164,558,499,946,686,791,678,091,115,445,478,308,004,314,407,892,989,216,683,
192,202,426,517,086,581,096,605,533,181,678,645,485,755,563,373,826,205,488,
194,380,374,765,721,072,767,058,440,335,994,268,916,342,421,919,402,445,939,
321,927,877,285,861,748,254,450,753,957,322,031,524,819,096,058,322,151,916,
315,325,361,061,111,758,987,513,210,528,692,571,744,310,637,609,790,627,058,
144,445,021,791,483,881,495,466,076,262,308,882,791,078,347,567,277,963,169,
380,698,590,212,915,665,287,642,019,379,579,317,396,779,433,138,847,434,606,
176,991,667,539,110,447,838,389,275,691,499,722,317,808,143,821,552,781,793,
553,497,498,791,457,442,356,084,217,294,829,831,694,674,437,804,857,173,449,
124,893,116,037,581,448,774,243,461,793,773,135,423,929,586,619,192,127,938,
165,960,330,555,617,044,212,690,716,091,784,397,861,146,040,799,437,939,268,
806,898,379,713,413,160,564,466,353,015,108,722,585,259,510,839,783,985,838,
924,075,790,083,618,590,747,496,015,106,214,269,280,385,249,186,452,589,823,
377,783,420,773,230,266,562,056,285,346,525,405,966,021,803,009,324,990,444,
925,572,697,573,127,831,591,730,071,885,701,198,547,906,386,688,271,356,048,
720,149,150,460,797,622,940,757,317,389,397,147,641,585,752,403,246,792,842,
586,265,072,687,634,331,160,588,213,207,406,985,681,005,810,237,514,679,297,
395,423,841,291,503,044,004,758,218,610,705,800,025,871,564,028,393,268,284,
079,046,471,621,013,783,722,285,752,878,331,860,671,491,347,800,053,149,890,
359,808,649,987,936,639,975,063,856,770,696,660,595,497,406,885,628,685,328,
840,223,426,308,573,448,367,207,380,632,868,076,365,156,326,427,990,593,652,
331,113,173,059,426,743,823,926,712,788,627,492,961,723,500,264,246,143,663,
957,990,332,307,124,485,538,755,993,881,722,273,440,376,156,452,491,945,270,
944,904,495,654,387,731,226,807,824,217,046,671,375,088,700,758,044,532,123,
823,828,474,230,736,910,518,370,305,614,972,552,888,275,626,060,282,474,056,
781,539,721,331,300,271,422,586,768,138,672,017,712,569,039,720,762,576,609,
676,581,301,704,324,521,470,833,548,194,631,228,346,957,121,963,930,112,646,
405,142,018,251,393,775,348,117,512,307,986,182,678,209,994,265,875,268,155,
449,497,123,124,832,498,120,007,729,806,520,601,321,302,244,778,253,273,430,
109,386,733,338,399,074,606,601,788,317,653,876,415,536,528,745,158,902,268,
945,262,104,064,215,754,321,559,841,539,154,725,463,893,197,020,176,680,485,
761,961,982,216,000,114,428,692,644,655,054,617,132,338,026,296,852,587,902,
190,387,335,024,361,612,966,904,074,335,875,913,678,725,033,259,711,588,019,
162,063,702,253,858,889,352,654,257,170,561,433,630,558,166,370,150,644,056,
573,703,498,048,784,999,896,954,936,421,597,817,635,555,248,348,260,910,733,
765,211,605,060,795,237,040,416,255,770,844,618,892,976,557,918,194,749,702,
856,666,537,466,172,164,094,402,314,965,293,072,518,309,720,216,260,307,784,
030,762,710,530,280,796,748,954,136,101,607,351,722,233,004,504,356,056,591,
937,332,027,096,582,494,607,263,928,160,231,555,367,094,615,651,867,602,242,
957,931,114,815,567,286,651,998,816,725,606,746,468,780,620,980,331,057,652,
227,576,736,839,689,300,222,472,823,629,349,982,843,399,919,880,092,635,058,
703,065,704,216,320,770,619,780,798,034,772,091,970,940,334,556,185,729,477,
755,642,194,689,296,047,048,570,421,058,672,396,091,995,387,684,720,447,605,
693,265,238,064,838,194,658,512,202,150,796,050,560,649,746,063,385,574,166,
270,756,809,664,044,070,669,005,684,836,468,677,486,620,966,199,959,400,548,
868,928,333,196,560,440,600,910,210,895,433,245,081,331,099,718,938,026,677,
059,487,281,984,912,133,843,359,032,059,482,295,163,073,262,332,508,058,834,
800,382,237,501,744,887,163,625,004,944,620,334,765,736,726,667,523,790,574,
071,431,046,261,526,441,985,482,501,080,233,647,526,117,637,459,399,447,034,
648,593,062,486,666,420,129,489,076,872,327,120,988,811,953,954,087,176,554,
393,778,446,797,715,846,606,759,489,901,470,164,474,042,784,408,896,639,332,
795,886,487,843,104,089,645,128,043,398,767,627,630,300,762,749,907,284,301,
896,049,348,371,809,638,122,597,876,642,272,362,195,827,045,786,021,752,967,
948,153,085,955,023,558,061,413,616,561,512,171,651,509,379,418,083,267,806,
361,275,579,545,162,427,583,920,525,676,451,643,533,799,494,844,868,141,010,
894,821,701,413,308,749,298,359,992,673,820,598,521,375,706,733,127,533,494,
750,126,409,853,273,132,252,242,711,207,867,041,069,661,172,602,545,147,798,
761,274,826,763,270,324,429,601,280,692,830,562,589,973,966,254,497,871,293,
754,306,379,555,684,664,071,299,822,710,975,532,210,772,448,475,740,480,104,
671,636,363,047,250,612,996,954,466,270,593,261,212,932,911,949,514,553,489,
214,078,487,381,908,710,255,673,892,574,541,627,981,295,777,164,080,924,213,
845,517,383,196,422,199,755,131,700,408,935,334,972,935,310,497,742,298,975,
981,117,317,694,918,406,562,289,754,482,144,002,348,330,520,540,042,911,946,
081,951,448,620,673,081,618,427,384,241,050,178,158,927,785,591,140,152,968,
608,744,276,235,027,182,055,558,114,845,575,695,905,234,134,035,338,198,067,
023,156,537,667,684,860,046,632,557,183,738,040,437,366,980,625,980,928,336,
338,082,734,402,848,814,841,737,013,012,232,046,142,718,656,475,540,282,931,
185,954,771,593,210,777,552,409,454,267,780,203,287,554,037,240,980,785,642,
130,328,118,363,309,691,242,284,141,766,359,174,848,929,805,226,218,550,009,
396,238,886,911,418,539,220,354,638,125,514,616,433,392,372,977,606,513,301,
117,234,790,655,332,663,481,142,263,441,012,829,395,871,629,234,365,982,871,
703,092,432,083,621,833,976,197,869,232,580,239,921,867,497,922,370,803,834,
122,150,316,391,454,563,395,725,880,875,978,637,190,631,756,403,661,540,593,
066,361,441,514,206,317,809,815,615,364,125,338,470,320,758,883,546,869,890,
635,342,153,104,726,158,187,070,908,308,054,733,602,274,855,831,158,696,998,
879,146,501,928,366,368,983,952,255,441,352,930,943,672,833,997,337,549,652,
884,936,920,884,266,881,321,958,853,132,479,282,600,845,230,639,431,220,976,
453,034,574,436,620,009,243,027,431,124,133,384,506,658,158,365,805,814,308,
866,166,190,128,616,420,136,701,989,163,475,277,808,720,166,325,700,455,295,
414,464,832,216,731,317,683,677,062,255,944,011,476,722,731,520,008,358,848,
715,391,166,242,862,366,312,153,248,931,529,866,244,363,802,485,665,684,733,
624,255,563,477,726,333,584,840,039,484,647,461,823,579,496,878,406,402,073,
011,433,373,279,350,369,368,978,213,789,148,929,123,288,212,519,772,578,415,
726,026,092,083,818,635,268,727,843,572,925,947,986,060,096,349,556,997,047,
936,862,535,388,188,029,912,239,345,117,323,575,188,183,785,890,531,758,985,
014,485,165,079,125,558,491,209,553,103,313,388,509,037,154,922,359,119,118,
272,339,011,409,974,295,055,412,383,326,810,467,369,535,741,296,703,353,481,
883,137,020,256,167,263,380,709,697,418,408,135,825,482,268,007,944,084,957,
414,131,655,984,737,599,442,702,167,374,401,273,929,072,330,362,283,608,166,
351,716,798,812,901,760,552,561,902,649,926,869,745,835,319,898,764,396,939,
820,943,672,849,946,569,427,236,522,895,616,645,562,216,518,163,834,889,684,
726,973,708,269,300,357,964,852,181,635,070,547,506,797,706,408,170,314,064,
546,069,776,277,805,753,362,671,964,147,319,359,790,056,173,994,457,904,619,
938,748,548,311,468,813,411,287,739,991,584,292,953,081,999,732,116,528,668,
707,256,323,384,254,030,194,625,744,731,137,430,227,323,010,206,060,036,474,
965,193,631,449,158,909,114,342,917,222,327,511,573,290,528,575,165,797,356,
709,579,601,327,264,926,093,015,501,493,295,869,445,441,873,203,033,422,701,
543,388,779,523,966,764,246,279,705,760,115,451,413,766,163,239,705,541,162,
251,988,721,737,139,180,937,649,381,631,657,864,792,600,012,387,550,469,765,
188,796,983,621,651,675,449,391,575,241,653,046,261,320,778,939,148,185,129,
637,256,241,190,405,906,646,200,868,808,590,080,806,137,238,759,621,742,861,
250,951,043,122,446,640,763,482,399,202,127,379,449,629,290,385,455,767,791,
783,896,453,636,209,670,591,124,279,946,628,401,569,270,213,001,115,398,714,
428,334,387,584,612,400,228,368,245,743,169,542,270,459,609,891,442,541,093,
763,621,140,224,239,695,008,714,140,016,302,963,964,879,981,709,302,171,530,
905,151,106,476,325,897,360,557,402,313,774,238,512,433,227,632,034,239,180,
122,030,314,665,033,660,397,420,550,073,176,012,576,979,851,470,289,835,786,
361,373,353,392,341,324,753,849,573,092,230,703,011,945,404,971,912,608,642,
421,690,454,816,857,647,956,265,473,944,564,230,135,542,365,873,799,859,599,
458,721,865,978,613,909,622,324,719,229,746,302,397,367,353,057,827,978,014,
017,348,503,088,509,675,037,481,687,556,472,625,541,342,248,205,201,050,867,
668,503,642,614,886,629,080,612,864,930,181,270,042,429,659,930,783,222,380,
213,757,883,703,090,340,270,328,267,536,154,467,458,451,916,725,267,078,632,
446,586,206,854,215,881,710,915,924,822,372,975,528,894,157,928,807,992,892,
671,016,207,652,884,034,472,284,744,161,191,187,993,776,068,175,585,255,192,
014,301,293,089,638,161,995,144,136,437,335,227,840,092,089,236,074,976,142,
700,712,878,500,470,726,391,627,542,145,500,570,634,414,633,636,834,125,379,
843,725,176,905,888,939,453,317,772,759,696,638,994,266,136,702,839,660,414,
800,323,223,351,048,451,696,943,823,043,121,193,376,588,648,319,226,841,513,
695,059,016,629,804,154,736,383,953,158,665,409,670,248,136,229,515,943,643,
597,907,623,695,605,575,585,287,662,819,583,161,922,506,775,859,885,462,017,
042,356,046,742,674,772,072,076,498,629,044,810,983,312,551,985,698,174,469,
615,149,445,694,580,913,012,789,922,879,390,318,863,944,670,524,905,485,895,
028,566,388,661,726,203,474,330,838,013,275,472,758,206,707,524,637,502,205,
536,312,250,344,505,277,276,382,402,908,105,406,726,359,871,118,799,935,724,
427,532,518,969,577,431,316,346,471,167,236,809,905,508,227,580,943,341,700,
155,506,983,418,696,830,983,011,263,180,424,731,747,694,252,430,583,952,204,
924,463,799,218,806,408,663,515,439,568,891,532,606,740,849,198,093,220,200,
109,869,185,262,265,855,231,472,180,882,553,662,303,637,794,418,356,684,293,
086,557,555,867,350,607,454,755,633,353,286,408,632,424,703,407,011,827,746,
182,071,061,876,966,979,375,824,504,170,368,774,676,459,646,181,606,961,030,
117,273,003,789,699,100,013,873,729,694,321,235,594,790,646,828,995,224,393,
689,762,852,018,518,188,187,154,906,835,772,482,974,478,716,237,581,574,190,
793,097,537,602,439,900,345,199,444,241,875,630,645,499,822,190,764,530,592,
232,646,695,714,342,182,687,444,275,452,041,118,570,756,855,538,452,912,961,
558,254,229,723,940,618,840,177,311,364,371,872,232,857,602,091,450,002,818,
944,649,356,244,172,838,075,090,717,639,267,795,665,159,604,618,251,039,452,
752,177,530,436,744,311,455,469,212,718,679,221,555,652,521,268,612,395,782,
876,991,007,133,257,274,848,504,901,999,408,905,371,663,067,526,589,655,520,
758,703,994,518,007,271,599,737,282,746,961,254,527,504,291,009,523,655,469,
369,847,427,971,504,397,489,829,059,734,525,526,733,715,384,686,683,162,817,
211,522,920,715,228,308,861,595,696,178,787,467,213,072,607,262,881,863,301,
556,427,742,979,458,338,986,121,751,394,629,414,569,518,625,509,237,530,745,
405,253,618,573,151,183,117,884,211,647,112,965,282,331,593,205,090,756,609,
248,475,374,363,148,479,041,158,431,570,736,462,015,602,797,561,876,554,988,
357,574,068,495,671,511,634,360,347,888,673,948,415,524,548,105,313,636,817,
210,825,446,182,072,540,509,057,119,391,821,431,406,533,744,034,291,330,537,
354,319,845,663,438,667,942,491,637,905,472,090,530,394,572,386,108,795,873,
510,842,239,877,890,223,143,290,095,750,551,810,758,615,874,669,749,099,839,
611,980,367,681,557,624,104,071,400,346,121,233,681,418,712,704,307,193,002,
478,930,835,587,108,692,486,647,770,067,056,596,895,812,336,431,816,603,446,
318,386,021,111,305,857,824,149,396,640,293,350,919,186,660,518,798,058,007,
122,289,650,361,852,555,206,174,821,232,918,399,760,691,636,446,901,734,013,
401,568,331,493,278,027,110,544,634,122,176,354,256,623,952,230,987,835,461,
142,708,382,428,607,739,874,274,513,829,591,308,545,874,460,580,937,209,979,
912,656,946,667,015,577,320,884,125,271,452,120,522,907,570,066,480,973,708,
272,445,417,087,978,731,167,402,948,870,770,631,000,393,345,679,998,002,269,
350,226,311,865,170,716,133,546,944,987,182,657,333,219,525,889,994,456,913,
946,205,148,605,231,177,009,050,192,400,699,509,956,373,362,517,650,833,608,
634,953,527,577,791,859,935,179,274,568,317,566,046,502,433,152,729,736,532,
550,374,573,500,026,505,947,109,539,692,757,407,455,261,400,148,901,962,373,
813,147,597,793,404,253,963,579,113,512,619,539,340,563,863,435,710,096,262,
858,234,293,582,577,763,923,752,599,355,408,190,699,720,651,972,128,358,696,
033,677,379,193,076,738,012,107,342,831,797,112,996,293,197,887,503,724,152,
232,475,459,841,223,155,679,585,570,017,484,337,454,370,093,732,279,576,079,
605,262,050,822,444,996,794,292,861,381,827,197,053,695,089,825,796,509,837,
575,335,581,080,601,999,791,428,792,075,381,042,446,735,458,924,643,623,955,
681,603,700,058,685,148,153,564,900,461,332,722,694,388,273,456,049,997,202,
453,170,812,458,685,176,480,867,828,995,285,007,094,548,644,345,344,894,011,
332,148,343,416,507,800,631,696,484,896,379,111,723,752,437,345,299,883,244,
203,310,251,550,964,186,711,810,832,010,402,621,811,191,698,552,831,309,476,
049,199,297,538,761,370,502,423,941,027,390,785,726,562,286,107,578,008,661,
507,691,686,701,732,288,674,326,111,973,991,152,805,926,759,090,655,000,929,
272,617,395,851,432,889,176,146,051,484,546,528,498,068,320,216,289,075,498,
671,802,459,941,624,668,919,383,411,978,031,817,831,042,626,645,335,656,656,
933,873,908,434,914,900,335,311,611,675,215,121,076,730,096,606,687,741,381,
332,142,040,973,525,046,448,202,904,159,497,851,741,019,286,753,211,399,588,
458,112,101,083,742,559,790,492,648,977,286,384,662,130,844,284,470,634,683,
780,150,809,088,416,228,379,343,021,248,451,026,848,578,062,524,554,373,518,
257,301,938,465,167,585,107,216,172,869,544,205,707,528,171,170,135,680,717,
270,335,117,078,418,651,261,788,196,368,638,783,144,422,594,280,169,098,708,
161,722,747,805,734,709,329,967,637,999,158,363,476,569,269,522,514,498,778,
746,157,615,138,133,457,620,335,551,376,870,837,120,185,204,523,562,214,107,
401,276,528,380,539,874,147,874,543,916,052,128,387,644,322,895,103,125,104,
613,009,439,481,094,512,057,805,058,030,530,216,697,415,282,306,892,300,265,
057,867,495,741,451,585,580,037,403,272,109,947,979,106,748,063,118,069,314,
723,614,845,768,394,192,047,744,056,054,177,157,124,571,897,052,353,434,072,
995,494,767,557,175,995,631,284,168,054,513,002,611,151,562,148,546,840,904,
838,101,413,794,055,905,862,887,588,004,304,902,384,072,030,942,194,305,624,
552,886,339,180,320,915,235,861,218,258,734,681,327,379,075,709,209,586,020,
527,463,277,153,733,126,508,308,622,751,575,046,262,909,305,232,771,722,786,
003,512,463,985,550,063,660,888,848,685,676,996,789,991,791,930,441,783,005,
034,265,896,906,833,049,475,640,404,723,449,269,555,516,361,365,062,942,075,
978,732,126,028,649,231,042,364,120,063,630,179,111,470,183,968,571,594,924,
181,684,118,922,277,910,851,327,525,731,261,815,387,679,730,219,216,392,417,
747,843,019,590,917,195,267,611,165,046,563,103,812,815,852,752,884,878,344,
152,070,243,533,545,305,536,364,946,529,650,284,023,960,613,787,214,581,271,
741,211,295,700,078,394,777,017,470,337,277,217,933,753,229,038,177,238,324,
528,680,743,978,314,684,811,937,420,440,053,753,839,171,357,261,138,409,664,
408,762,913,125,139,429,517,254,872,386,990,013,372,103,713,622,498,195,036,
945,110,852,279,836,391,329,164,001,135,264,677,153,725,157,221,584,536,512,
428,404,214,121,535,200,083,102,449,788,662,384,636,867,091,892,284,494,467,
700,104,195,144,969,862,266,895,581,795,253,647,418,644,323,647,148,892,928,
186,690,649,846,092,697,251,627,127,818,082,694,325,613,976,185,721,227,057,
723,508,566,060,556,021,293,976,138,151,723,620,215,102,853,640,750,462,352,
365,918,859,401,220,201,780,313,951,209,680,644,935,239,617,528,822,534,522,
634,045,694,402,854,925,120,923,777,387,358,693,800,269,944,858,864,316,506,
135,484,148,108,281,792,079,624,938,407,271,264,339,965,240,848,645,602,071,
709,641,945,167,485,729,304,307,260,759,097,222,172,040,643,878,883,591,194,
236,895,945,743,794,939,155,682,362,975,051,978,471,826,490,831,915,552,795,
273,087,134,708,141,203,063,304,185,333,585,748,221,889,285,581,308,677,066,
677,160,479,326,671,237,994,172,295,883,716,051,769,105,876,631,574,674,829,
911,573,525,650,369,140,073,692,770,206,277,939,784,407,530,450,376,641,406,
589,040,930,150,108,915,401,925,089,414,583,632,424,570,952,834,227,788,389,
522,155,864,434,436,284,931,053,166,823,161,754,880,996,665,660,202,607,706,
003,659,467,175,575,742,404,771,085,805,216,293,305,310,018,106,456,232,743,
691,737,102,473,623,448,773,045,224,431,397,605,177,923,880,741,638,180,890,
154,091,444,167,395,842,320,535,817,596,998,819,976,498,637,018,796,371,729,
431,773,211,555,998,090,098,727,914,073,720,425,345,794,183,809,676,686,287,
361,284,128,709,408,122,689,169,566,699,895,797,202,330,625,102,001,195,399,
030,277,816,421,134,284,430,762,626,770,446,462,550,967,147,370,670,313,909,
123,249,162,354,771,695,388,053,388,016,032,642,046,998,279,321,190,386,594,
398,129,508,965,421,263,385,422,954,412,380,286,758,170,573,214,402,451,763,
767,058,420,170,237,837,030,382,784,073,583,052,014,219,128,578,243,125,926,
166,986,999,883,507,301,558,111,480,809,463,117,762,410,984,629,922,552,035,
299,480,270,294,669,115,616,251,296,581,205,019,734,551,330,745,563,848,243,
142,847,001,836,528,082,669,626,343,851,453,877,319,185,888,296,663,210,674,
275,401,214,086,369,420,659,733,799,856,817,887,723,838,576,450,775,753,109,
368,610,852,500,363,179,744,585,351,244,274,487,045,200,519,016,044,529,081,
541,401,259,944,527,818,856,021,705,478,479,049,608,745,241,791,064,449,859,
003,199,301,481,408,022,301,024,470,544,354,859,026,884,510,343,589,546,794,
318,420,232,398,165,925,142,820,094,962,321,675,389,977,824,788,968,207,988,
461,187,808,311,732,145,436,087,607,369,135,163,345,864,460,100,882,948,190,
431,164,715,130,325,061,729,962,891,677,381,683,464,297,858,586,084,940,436,
756,469,579,700,680,775,468,556,802,692,459,812,816,924,788,938,570,085,161,
166,986,927,804,617,065,333,755,303,972,470,638,027,229,382,733,103,819,910,
994,290,124,437,531,706,717,242,256,106,860,952,853,405,040,008,944,986,473,
708,682,766,386,167,191,994,877,188,679,326,795,312,974,501,452,025,513,538,
718,397,552,005,987,493,939,076,266,908,122,237,888,210,378,967,961,182,577,
885,318,852,297,973,512,655,592,302,970,149,089,642,035,187,537,804,545,877,
124,979,180,806,364,393,757,868,841,747,035,709,070,325,469,143,755,243,596,
034,950,523,993,217,315,353,326,764,962,037,072,297,647,281,020,621,555,125,
289,419,854,547,625,251,771,434,045,899,127,006,992,148,480,181,518,030,826,
473,596,933,847,842,300,572,125,983,378,579,935,947,404,062,876,964,490,429,
212,808,324,340,852,375,202,012,263,382,668,129,856,297,965,418,043,356,644,
274,834,292,328,710,064,137,598,041,663,157,925,698,226,293,153,363,201,342,
582,993,969,256,671,722,317,472,766,966,953,383,469,546,620,425,005,850,294,
109,219,000,686,925,899,974,926,842,220,510,589,053,869,204,837,235,712,711,
376,465,684,955,105,715,856,017,732,133,817,536,385,636,995,723,431,531,175,
929,049,579,872,196,090,782,787,345,795,237,873,182,529,262,225,510,523,747,
186,795,816,277,594,417,541,482,391,144,546,841,417,481,151,740,682,031,712,
442,351,556,233,048,465,495,713,317,126,913,913,747,575,052,485,278,319,714,
291,467,184,097,358,997,236,502,627,322,011,810,362,823,968,688,378,876,585,
595,426,215,838,259,585,619,823,881,995,469,401,743,943,027,741,207,640,764,
282,430,272,774,683,770,479,760,366,784,362,678,447,391,551,164,998,326,463,
418,402,821,052,843,782,132,298,993,993,994,298,751,242,018,901,503,548,185,
196,592,535,431,625,657,819,879,879,118,219,851,958,136,926,607,577,733,790,
628,314,077,609,005,002,914,917,889,495,994,802,654,335,580,622,592,299,764,
191,814,055,654,837,274,294,089,935,380,492,840,388,368,636,223,810,959,922,
377,179,908,166,895,530,817,892,628,006,764,678,338,133,558,523,171,072,121,
663,492,392,270,706,389,800,222,265,621,210,372,010,388,890,270,278,156,471,
832,460,923,415,263,371,315,693,657,293,546,418,532,215,098,059,254,756,502,
768,326,764,362,279,861,799,988,993,643,353,409,804,182,413,594,874,137,583,
507,867,173,679,144,052,992,538,910,437,619,037,591,480,577,029,388,905,563,
719,791,626,194,979,239,502,116,933,104,714,548,894,416,010,384,743,572,948,
585,674,528,217,799,705,122,530,348,049,075,038,066,014,133,211,817,130,710,
851,809,113,359,690,111,592,213,073,221,091,699,962,231,222,197,658,879,574,
278,037,316,001,751,581,542,186,235,437,529,623,728,579,879,717,020,790,074,
339,639,721,333,492,277,134,060,917,238,007,417,481,739,937,134,180,050,345,
577,428,708,053,606,179,621,056,711,312,260,004,632,820,107,695,916,204,999,
085,255,283,511,085,970,227,560,463,804,431,987,319,629,258,126,054,513,238,
380,141,481,241,463,040,466,472,855,802,089,778,766,416,875,417,681,869,417,
926,683,389,505,333,494,460,548,855,694,681,415,162,669,528,305,149,881,370,
481,970,984,073,416,077,709,687,492,646,109,277,331,696,004,741,589,347,290,
094,758,506,886,216,286,803,337,086,317,699,341,287,334,228,370,937,728,528,
225,954,008,806,882,598,230,070,477,762,277,170,129,722,053,179,974,111,800,
903,825,689,005,043,592,716,551,628,471,728,059,063,267,611,418,489,440,742,
744,394,507,865,070,138,626,914,201,514,161,451,307,895,408,143,869,710,515,
812,322,355,827,468,695,955,816,012,674,845,397,392,938,532,800,040,373,433,
582,694,835,268,326,537,926,581,856,806,273,114,460,696,857,318,766,537,512,
866,145,598,340,398,233,647,573,040,447,569,486,299,678,720,891,241,042,516,
016,711,631,795,173,474,646,104,137,221,822,589,580,855,378,345,175,244,777,
205,750,611,047,538,102,530,590,596,498,532,501,239,520,478,660,672,643,383,
175,000,216,258,840,811,100,174,166,846,637,742,225,850,845,654,460,096,829,
503,415,292,625,481,878,201,458,211,682,380,716,764,631,826,152,648,401,320,
482,365,957,092,918,825,078,312,070,967,058,480,362,068,050,276,147,302,633,
994,491,611,660,729,344,654,762,300,387,376,778,052,668,731,710,263,066,534,
270,298,842,530,576,048,874,713,124,366,997,990,752,382,592,538,769,530,222,
398,192,360,349,237,449,539,111,942,925,581,015,237,192,435,287,175,132,942,
516,374,511,714,302,202,254,801,394,781,650,644,639,948,437,612,107,123,139,
969,665,082,980,509,808,279,508,518,868,525,892,921,024,465,910,204,542,635,
682,873,232,966,414,787,459,583,436,226,893,632,375,639,531,499,296,844,811,
134,955,970,922,113,454,303,915,029,183,454,973,784,304,518,215,672,843,768,
910,315,571,781,558,800,812,740,403,345,424,854,766,196,750,523,296,680,163,
111,917,522,147,562,954,348,399,804,580,660,563,431,342,342,508,419,866,552,
760,024,339,671,738,772,447,655,829,221,025,888,606,893,800,011,563,985,360,
972,832,665,904,846,405,542,165,372,628,749,082,938,627,378,818,026,277,198,
008,120,538,195,265,703,063,125,674,716,572,852,482,202,164,617,561,168,367,
333,189,994,762,480,862,353,218,239,985,666,246,789,074,578,202,836,855,179,
292,578,068,787,711,187,886,321,104,584,819,338,388,573,045,717,444,882,993,
966,798,913,212,437,007,379,183,451,708,157,551,969,786,487,272,478,629,259,
283,461,688,462,251,069,924,282,781,319,973,800,401,567,983,438,905,223,111,
829,018,330,890,536,356,452,391,630,470,077,640,209,754,046,038,121,007,636,
631,966,152,929,769,330,775,014,858,856,285,894,729,597,917,051,660,126,245,
337,533,142,792,970,154,649,327,879,868,971,590,442,704,833,980,959,407,254,
734,462,884,353,014,169,475,862,997,589,550,290,070,482,582,277,229,739,995,
363,132,314,014,618,551,273,416,389,673,924,879,767,645,946,692,062,575,784,
916,442,027,241,630,450,691,470,486,220,707,028,900,333,071,656,265,431,412,
756,125,949,259,510,333,462,838,069,632,788,313,561,002,982,377,166,015,593,
552,357,507,262,214,792,906,884,954,605,719,687,852,679,997,695,135,547,411,
567,192,175,686,963,382,154,437,074,820,236,156,993,197,782,927,864,018,706,
621,055,068,128,039,415,362,388,381,922,373,197,502,348,798,294,650,966,558,
712,704,393,046,331,519,703,976,245,857,563,789,534,033,314,953,440,846,567,
239,061,546,270,412,940,016,920,802,772,187,084,215,415,003,342,232,049,781,
253,333,382,542,317,168,751,933,528,567,073,684,995,118,008,567,724,510,635,
598,921,469,336,977,284,251,620,447,940,768,568,036,347,391,652,576,326,991,
818,919,248,161,917,822,420,938,374,323,498,427,091,446,772,372,635,022,297,
171,053,871,331,976,615,170,012,863,516,980,750,908,904,893,090,535,345,570,
681,862,924,593,414,734,661,169,845,790,325,625,675,040,829,670,901,845,204,
833,199,955,852,915,143,618,762,578,048,891,076,850,045,122,543,260,061,463,
750,719,761,991,913,104,657,535,948,823,938,773,363,415,643,617,565,507,305,
074,153,596,585,694,075,895,320,286,650,036,339,167,547,678,848,653,318,442,
609,324,035,315,083,918,431,395,749,515,496,436,705,211,756,529,444,379,828,
138,734,372,321,106,479,228,498,170,929,568,881,352,554,500,490,977,563,357,
556,819,689,084,902,254,639,774,380,668,452,902,570,675,559,982,071,304,796,
213,660,407,693,506,619,894,047,208,389,994,512,793,813,062,911,209,370,186,
560,312,605,968,455,696,644,189,342,852,620,474,308,808,905,988,071,423,898,
277,117,398,970,805,927,017,582,109,836,330,289,837,988,767,447,825,104,797,
267,276,035,871,370,298,280,164,930,785,866,745,580,315,974,528,761,392,625,
511,171,774,828,737,723,928,215,940,419,882,285,765,552,237,722,210,096,980,
611,599,825,412,942,918,356,913,069,391,007,061,716,299,214,940,609,831,376,
248,545,862,283,464,654,787,217,158,428,880,695,120,497,374,466,319,207,041,
938,649,766,419,284,301,020,435,362,944,899,589,030,971,176,032,832,312,093,
630,027,401,706,753,856,556,972,390,782,007,626,236,261,470,743,613,402,679,
554,634,766,416,820,596,242,807,730,925,473,564,286,553,747,395,507,937,904,
234,960,992,345,437,118,248,695,020,829,222,108,989,276,331,833,791,918,371,
213,341,627,860,492,091,492,243,009,389,492,766,291,519,264,176,286,548,998,
040,799,183,671,643,809,481,116,460,046,897,181,167,627,093,326,895,878,975,
433,337,753,710,404,343,179,183,525,324,363,902,565,704,532,629,493,634,925,
349,758,953,020,372,557,979,424,488,581,415,841,175,150,683,338,636,473,452,
620,791,868,935,631,717,009,609,520,981,039,522,034,650,748,200,438,220,886,
635,451,166,343,966,733,842,116,171,346,841,326,857,456,995,044,681,275,494,
694,393,338,402,064,493,059,466,703,948,368,852,232,146,035,703,036,279,706,
123,759,721,122,724,642,347,354,182,040,676,757,289,864,137,434,203,605,744,
029,441,911,449,868,991,093,194,557,347,176,827,785,823,700,953,096,754,225,
764,672,358,062,263,186,483,238,009,845,963,595,573,584,575,586,209,840,020,
625,707,303,182,224,322,577,316,202,004,182,710,546,554,464,052,342,809,220,
740,827,716,021,936,021,926,783,767,622,742,749,649,523,885,170,672,804,400,
795,393,410,893,790,802,203,717,812,050,835,460,984,453,952,112,883,012,302,
857,581,657,717,335,049,721,077,162,096,833,751,344,179,980,302,662,821,161,
841,819,741,866,451,716,312,291,020,299,284,435,288,778,111,094,878,470,519,
817,238,011,170,152,368,105,575,313,452,171,636,927,655,098,485,694,553,302,
098,691,733,543,158,000,013,800,626,459,986,237,838,530,880,411,953,218,721,
483,851,853,529,594,566,093,598,789,062,116,738,848,500,864,427,413,447,238,
614,766,827,678,831,346,414,628,983,177,704,078,197,203,680,368,086,405,039,
833,337,812,773,876,674,506,352,337,141,963,060,834,004,046,851,584,113,370,
801,570,559,876,476,877,050,783,177,649,474,509,652,691,019,686,393,461,432,
879,595,041,310,353,310,657,583,909,100,147,583,591,630,508,669,475,770,357,
458,226,197,689,922,291,347,130,493,468,910,345,028,215,601,434,258,225,613,
986,619,416,474,286,850,015,444,278,175,782,361,447,117,907,487,986,567,211,
554,496,812,246,232,391,519,459,391,398,426,601,229,400,467,832,748,701,771,
530,866,944,709,277,349,118,438,210,059,978,567,357,217,602,311,478,746,029,
899,651,851,173,771,701,048,770,085,028,080,388,372,017,923,927,441,661,060,
498,001,403,582,247,639,858,433,000,892,686,183,896,464,634,279,672,890,607,
602,688,637,730,685,534,531,489,092,525,900,510,625,795,530,461,681,637,328,
853,154,053,752,376,322,111,057,845,508,709,885,101,055,422,041,666,475,800,
998,697,670,052,944,711,415,941,014,799,799,031,648,701,129,635,036,196,013,
118,622,462,904,910,782,051,569,296,071,546,351,017,861,094,728,719,017,833,
708,973,302,603,909,803,254,281,819,158,376,236,437,716,035,600,969,185,763,
126,846,504,366,502,654,767,805,919,797,999,206,624,097,300,970,620,490,636,
452,199,230,496,945,578,824,920,182,648,240,044,051,902,208,505,811,661,773,
155,872,605,987,986,013,885,692,008,089,499,454,148,248,608,846,543,492,008,
651,318,717,206,840,462,929,612,207,459,948,626,239,372,374,261,271,966,374,
830,472,275,295,289,297,755,654,812,902,486,861,115,528,686,360,172,917,076,
817,508,824,891,028,882,292,997,518,962,868,115,742,644,336,654,956,706,156,
851,369,271,993,427,176,074,794,027,254,937,746,471,931,532,769,550,588,003,
614,369,480,754,062,554,512,313,755,943,635,455,947,412,079,794,649,754,499,
929,427,891,534,732,287,178,338,056,858,120,658,625,670,491,517,137,912,482,
909,186,888,708,623,026,765,218,691,102,147,353,135,670,908,504,778,753,522,
595,732,404,469,808,098,125,217,128,800,792,564,429,592,318,437,944,615,775,
286,466,797,944,777,138,632,555,263,220,780,782,250,777,152,894,916,360,294,
166,032,707,010,045,601,374,545,237,212,842,736,347,680,959,545,207,847,304,
557,851,198,612,034,524,629,826,450,118,476,559,641,535,943,837,535,932,112,
919,930,028,462,586,226,437,246,131,482,333,111,016,822,852,983,524,266,516,
863,317,727,656,712,030,155,211,374,715,079,487,909,849,876,288,378,153,673,
653,455,302,227,738,260,356,465,080,548,882,460,959,487,143,778,592,370,728,
105,645,145,218,631,176,830,744,086,681,605,456,667,424,482,404,681,433,744,
119,199,267,458,241,629,087,484,975,774,960,989,011,848,735,770,548,894,522,
620,781,648,467,423,025,839,457,975,002,924,850,682,294,005,200,468,281,096,
561,298,124,439,749,365,029,021,082,718,808,629,481,310,167,644,000,327,250,
056,571,384,011,271,831,896,837,268,377,853,989,301,070,290,265,649,110,659,
714,448,174,678,367,796,820,915,055,953,149,048,957,248,228,847,999,991,523,
472,253,090,512,692,324,940,829,293,906,851,439,709,391,655,794,942,463,778,
275,820,931,800,801,619,482,838,854,455,002,165,755,224,447,686,072,003,995,
321,563,925,240,389,554,663,119,855,105,728,218,334,792,349,099,337,516,640,
199,529,002,037,976,227,907,173,221,217,413,280,741,756,397,924,440,451,757,
801,599,332,083,960,635,707,118,967,781,110,990,689,932,159,389,615,172,014,
742,351,914,560,462,068,304,769,972,533,419,443,961,650,769,693,949,938,213,
077,699,110,716,378,796,562,708,576,017,161,253,798,614,959,119,274,054,991,
915,166,285,338,020,695,152,546,885,960,272,544,792,353,470,104,038,990,521,
335,852,550,586,569,181,763,945,277,422,790,484,848,625,772,270,177,339,138,
555,635,418,088,997,525,831,226,814,676,807,122,321,698,445,742,026,259,296,
959,693,164,774,628,380,725,046,145,144,465,863,510,599,609,615,290,879,409,
704,116,877,610,635,918,003,698,816,278,867,362,424,996,565,533,301,002,022,
091,384,941,477,774,683,371,906,431,289,347,416,658,765,449,638,981,352,696,
889,453,927,778,814,580,912,599,849,847,737,056,327,082,371,517,871,614,511,
846,512,834,647,625,389,810,509,346,312,934,467,292,582,586,738,797,686,460,
853,431,323,147,755,698,869,441,785,810,480,846,216,772,128,374,499,655,746,
210,806,331,830,428,492,317,870,839,287,656,327,504,636,967,867,919,854,610,
889,760,312,951,045,630,396,491,782,676,475,038,461,009,498,864,429,347,093,
962,091,193,884,481,627,116,972,394,499,779,253,706,884,753,394,205,218,211,
633,213,253,608,024,293,551,912,760,627,441,566,320,818,048,561,465,413,014,
741,420,146,532,738,317,929,175,275,288,208,109,248,270,337,867,425,162,548,
395,474,546,022,495,678,067,053,650,638,638,555,883,283,143,481,414,995,375,
953,879,714,270,612,701,920,772,918,606,031,320,308,917,003,883,355,427,347,
989,541,806,286,434,311,596,176,005,210,612,875,634,148,618,764,761,907,318,
941,601,163,172,354,040,205,653,058,939,606,269,728,078,789,242,759,391,676,
802,681,717,687,669,397,147,885,592,364,312,448,705,180,527,946,864,628,547,
117,620,117,422,909,982,407,431,260,923,717,399,381,055,377,081,627,932,469,
655,352,924,949,243,526,259,798,988,371,146,090,506,469,597,069,788,718,446,
684,951,031,395,294,693,068,647,046,133,064,424,939,817,642,512,379,516,581,
255,128,116,078,977,929,534,671,274,183,273,168,635,897,931,300,643,623,024,
657,568,197,124,026,664,912,410,602,854,904,558,191,441,348,075,328,259,248,
757,569,091,322,868,930,839,391,236,807,652,879,736,403,427,295,072,475,322,
003,054,664,011,483,774,563,417,928,653,776,370,762,455,296,295,659,542,036,
150,326,120,462,793,137,769,286,389,633,929,979,625,218,500,457,114,586,565,
765,229,872,139,806,706,670,660,708,353,502,045,052,732,269,828,546,146,846,
487,133,812,251,581,381,696,212,986,994,503,213,401,440,611,385,297,715,231,
334,406,493,168,016,773,993,156,576,725,884,168,676,999,237,640,078,302,960,
287,424,642,104,983,625,162,586,901,785,928,696,226,300,750,697,806,436,983,
540,764,093,046,277,971,200,517,615,428,946,854,839,170,401,646,312,099,528,
744,999,660,100,371,918,744,391,632,137,356,466,353,151,529,087,757,509,565,
212,355,591,032,646,296,840,851,553,869,458,779,916,975,292,846,607,969,935,
453,864,909,349,426,467,157,234,199,816,412,611,112,079,499,904,327,520,390,
334,677,175,433,980,897,609,836,222,685,122,337,459,305,224,228,152,835,081,
483,878,783,246,647,420,196,424,930,432,076,346,376,588,623,359,811,501,146,
781,248,029,856,827,135,097,385,089,587,378,458,455,742,655,408,804,559,473,
998,919,350,967,486,615,689,913,524,923,880,497,718,621,707,811,150,976,876,
604,017,164,144,320,876,232,938,382,505,390,500,297,358,784,066,739,851,881,
540,454,289,042,668,254,571,952,319,465,062,325,674,195,310,962,923,972,544,
467,819,510,310,756,141,222,939,516,850,210,736,377,708,406,206,952,474,740,
142,216,176,699,911,884,622,343,002,881,987,809,625,913,834,513,311,593,496,
382,519,656,791,331,079,692,197,999,687,684,876,526,950,303,804,146,258,212,
392,607,004,665,965,962,174,605,457,211,482,810,336,276,541,231,174,614,842,
938,733,626,637,422,819,407,057,965,441,146,146,278,574,740,656,901,630,993,
133,274,409,842,591,768,956,905,552,869,949,078,316,259,921,950,184,456,928,
869,811,157,326,116,116,341,863,303,465,968,267,017,423,752,069,154,314,355,
712,359,829,266,697,425,696,408,880,429,846,613,098,992,955,052,789,335,330,
565,705,404,344,605,451,734,104,530,980,223,342,051,542,549,836,170,780,694,
698,034,020,945,375,737,022,769,200,752,300,546,405,583,543,287,638,569,886,
790,563,191,361,316,770,652,693,132,398,254,888,331,891,891,737,372,479,368,
358,739,225,202,101,306,848,281,856,950,695,850,817,330,767,791,155,280,254,
570,822,272,258,044,317,318,218,100,709,862,642,160,272,424,179,296,558,156,
500,406,461,639,545,559,828,090,384,385,336,743,980,491,538,037,439,799,846,
650,731,255,838,243,349,711,366,250,046,170,646,429,596,471,040,984,811,426,
129,638,056,398,114,463,785,677,049,055,793,251,956,658,226,296,748,956,610,
156,592,197,122,409,757,876,828,916,207,784,360,497,517,194,753,383,596,451,
536,847,414,083,987,361,482,755,410,603,015,989,550,947,457,752,469,598,357,
801,240,880,124,745,712,272,957,079,514,029,770,817,697,946,004,348,938,347,
322,695,039,463,868,324,410,054,407,977,044,620,906,379,035,177,244,470,777,
723,882,780,723,736,969,976,774,422,277,099,701,606,154,617,485,408,913,031,
311,437,729,192,853,008,544,793,687,415,110,478,176,487,035,391,837,070,734,
039,740,351,522,270,476,380,049,384,072,700,483,677,558,978,033,242,443,036,
610,604,451,241,006,414,759,936,189,806,010,636,287,498,342,505,145,244,092,
111,646,936,388,014,082,017,818,307,524,952,146,078,282,177,151,075,472,651,
564,098,036,217,654,832,564,086,788,228,470,263,440,027,893,984,636,785,590,
937,328,536,380,823,272,425,455,730,904,658,385,352,809,706,560,367,419,339,
634,438,423,372,615,841,323,151,394,965,244,767,922,142,244,053,791,105,244,
760,455,967,097,349,523,457,119,087,356,636,902,034,849,952,600,719,696,550,
417,302,786,273,126,734,735,015,483,623,682,952,913,744,122,712,533,199,051,
713,834,971,782,102,808,597,123,786,507,312,595,472,139,367,715,832,977,641,
118,737,497,470,934,747,026,463,307,321,177,211,418,321,069,054,673,955,687,
869,567,063,968,407,134,332,510,032,224,775,179,012,479,281,176,450,720,853,
003,142,555,338,350,767,816,665,173,032,377,757,323,145,578,355,812,546,008,
171,782,424,277,979,336,674,947,773,241,992,253,270,508,620,962,906,799,716,
995,306,077,290,579,799,491,771,170,450,320,674,626,759,594,317,346,113,948,
877,569,454,031,330,862,477,083,143,749,726,507,375,048,635,584,137,226,428,
201,727,848,709,524,299,998,061,476,606,707,927,169,821,290,555,777,260,045,
767,832,132,158,462,446,667,119,322,517,468,378,362,880,240,328,661,218,515,
220,604,639,780,883,557,192,767,963,943,361,599,955,176,935,448,835,937,557,
072,265,826,680,963,226,832,588,510,374,100,500,372,735,801,865,913,374,837,
454,700,315,819,675,927,438,111,823,161,919,237,626,116,021,620,554,571,145,
013,583,981,307,388,872,053,451,641,859,482,345,893,746,500,749,797,014,760,
787,389,335,854,614,631,409,375,562,801,921,401,334,577,187,874,101,572,426,
903,166,256,617,758,385,806,343,887,474,507,508,967,264,605,034,533,754,044,
204,092,295,094,723,804,206,578,042,482,268,379,616,561,216,775,210,069,803,
989,471,726,584,590,698,799,357,262,938,572,042,610,893,161,165,992,062,465,
744,841,159,856,076,041,948,867,528,643,624,812,256,509,898,598,754,627,216,
394,495,496,225,586,788,888,947,024,696,193,868,028,085,472,695,267,368,446,
038,895,825,923,655,838,393,069,863,103,712,256,168,470,755,495,138,670,541,
063,538,103,013,085,106,411,681,785,710,099,696,711,201,709,241,472,586,579,
897,636,293,351,134,074,418,627,944,174,415,052,610,883,599,715,878,664,071,
343,623,319,545,449,234,674,432,976,615,709,263,163,861,659,983,256,415,112,
047,859,431,457,504,679,691,539,409,331,604,445,569,341,157,042,707,911,335,
327,019,220,045,404,841,166,226,912,891,483,439,876,877,091,099,459,115,364,
300,949,654,137,106,249,838,984,556,076,561,971,803,575,086,958,495,767,882,
950,102,221,925,626,750,635,607,480,877,791,931,941,939,450,744,804,748,933,
098,813,530,710,091,965,953,126,016,049,209,193,800,848,559,904,837,336,306,
521,659,479,566,928,156,098,052,215,977,153,397,629,440,806,442,227,715,695,
791,331,148,092,662,363,862,544,043,538,458,695,253,169,106,354,068,761,213,
210,288,780,096,468,600,752,866,873,200,203,862,340,506,890,942,180,962,756,
086,373,802,188,503,475,892,228,420,300,600,817,235,264,943,105,554,343,394,
669,933,453,175,192,198,283,470,364,118,633,093,197,788,167,598,707,777,329,
718,839,947,593,487,145,155,710,139,647,171,381,867,409,115,703,708,359,915,
110,222,254,639,053,377,997,443,412,557,541,247,286,320,856,235,640,436,523,
987,302,690,777,425,416,076,856,988,050,657,181,809,145,517,009,802,411,729,
131,687,834,425,283,908,528,860,909,583,677,679,612,970,958,126,623,640,018,
202,825,064,280,277,597,633,328,553,447,353,340,097,172,415,860,618,895,823,
563,022,105,822,968,536,582,668,437,783,866,816,283,138,295,322,670,482,663,
107,761,054,558,729,737,834,543,009,054,029,626,259,907,218,912,392,353,476,
527,394,027,015,608,818,747,149,240,764,403,391,154,657,720,209,165,543,807,
710,877,766,359,121,372,212,501,389,332,958,087,723,716,795,179,051,447,833,
464,588,673,058,853,645,180,030,680,950,585,945,009,733,963,369,705,902,704,
869,263,999,208,185,634,366,309,429,074,370,479,215,358,491,026,392,468,333,
669,682,690,872,893,256,609,711,002,377,417,011,039,427,289,945,580,875,295,
491,813,769,316,284,694,174,057,332,489,866,780,354,925,594,103,381,055,269,
223,115,412,427,991,308,517,212,773,714,964,207,202,293,998,589,662,012,252,
288,020,514,314,139,266,433,388,414,056,603,874,639,903,414,630,272,112,488,
589,834,024,170,196,597,109,817,935,829,089,135,763,650,666,682,046,253,766,
529,784,441,028,468,229,730,322,887,721,784,244,905,138,418,511,635,985,837,
477,189,806,147,279,451,317,515,138,037,597,100,094,853,327,022,555,320,419,
205,157,047,245,460,285,450,332,974,295,824,060,920,733,123,242,248,899,152,
949,223,624,226,105,878,282,529,215,560,645,127,664,390,113,587,736,711,092,
922,212,932,172,519,169,894,846,808,211,106,941,081,266,110,517,917,088,146,
930,736,408,492,499,463,131,205,675,886,683,014,910,599,002,054,248,578,242,
367,499,703,808,338,878,530,453,276,824,469,934,550,339,540,125,249,971,463,
177,355,292,466,705,184,274,477,331,935,081,328,024,140,482,349,129,120,891,
504,690,006,284,263,048,001,082,704,985,244,259,555,999,334,423,630,926,624,
267,652,477,206,729,418,046,180,608,668,740,812,933,280,046,751,575,748,302,
979,032,881,391,100,286,234,413,435,649,435,178,489,913,465,382,242,458,690,
846,673,984,213,273,612,872,661,889,720,944,540,930,685,221,376,979,229,142,
553,403,106,311,769,379,389,692,066,570,364,285,803,244,015,060,604,751,161,
126,050,374,749,259,819,889,216,099,834,296,511,904,404,542,519,732,589,973,
146,652,721,993,314,537,524,108,258,568,226,762,865,132,901,207,538,512,458,
107,231,135,770,763,910,443,224,214,250,194,314,732,059,715,743,392,596,835,
331,480,369,701,778,420,651,160,510,594,949,539,871,479,303,603,276,730,719,
790,823,221,379,446,994,093,860,685,812,647,306,375,373,419,222,414,517,556,
117,070,553,572,959,034,424,143,365,570,164,379,820,151,178,454,426,293,638,
771,487,196,558,366,850,836,656,753,512,439,824,838,079,204,730,281,561,298,
028,169,159,968,140,469,245,270,622,228,434,083,833,824,332,260,960,110,224,
492,770,707,655,715,317,823,731,566,143,706,146,668,942,627,725,850,436,113,
057,509,098,825,738,607,919,604,365,378,073,609,550,270,386,132,630,766,889,
189,006,778,892,062,172,664,453,648,121,087,300,402,651,061,787,731,119,880,
925,694,264,295,755,442,709,132,584,162,922,116,679,829,397,220,488,144,251,
676,514,606,564,396,535,364,505,941,028,922,428,955,735,785,332,119,165,784,
703,820,301,911,701,814,381,675,508,344,563,922,827,486,303,078,752,259,910,
416,665,040,462,571,343,469,772,779,190,587,499,177,784,963,181,228,352,105,
964,701,107,043,985,953,126,148,525,166,696,790,581,475,314,554,234,866,290,
188,799,373,917,406,676,837,534,295,041,376,745,037,221,263,378,026,403,326,
292,372,454,609,123,556,986,897,551,244,773,810,342,844,946,625,060,177,682,
176,796,902,178,154,357,052,618,760,947,790,344,913,174,379,819,097,942,577,
131,598,228,238,356,949,588,538,067,168,415,283,890,853,167,249,168,229,723,
971,327,734,042,676,896,268,222,082,124,572,425,704,239,422,869,182,183,719,
632,729,832,161,054,782,581,368,111,710,876,771,394,266,182,888,268,679,226,
881,617,175,105,352,378,917,900,299,478,601,686,022,026,885,785,850,395,695,
207,530,730,014,141,014,809,039,403,463,842,658,956,429,360,958,811,233,822,
996,873,505,544,184,362,529,608,436,838,095,486,076,078,569,262,892,025,682,
786,737,597,849,253,575,666,823,462,179,379,873,924,737,544,114,305,516,047,
407,368,217,929,126,850,744,558,525,430,636,780,954,205,100,011,054,313,990,
360,671,038,662,118,026,639,688,904,427,612,371,847,363,949,192,696,408,893,
689,977,684,891,038,722,469,814,164,488,285,349,934,955,188,189,396,734,183,
352,904,608,804,784,285,176,559,057,827,339,671,324,547,760,739,820,243,463,
765,820,072,296,395,863,823,027,305,133,219,347,345,816,758,174,394,219,364,
480,854,195,096,849,456,204,542,895,105,438,808,078,857,849,193,381,612,355,
054,605,668,356,236,224,945,824,694,816,537,025,853,575,151,482,417,896,629,
593,606,413,272,744,490,587,250,735,237,571,023,874,933,344,772,205,901,208,
828,402,623,940,190,476,623,335,894,000,238,136,156,633,389,642,532,674,804,
151,276,062,808,843,347,515,896,920,151,822,347,195,581,845,305,760,373,696,
264,342,554,356,670,805,562,443,540,686,258,499,198,107,452,579,051,593,029,
795,765,651,739,187,911,410,047,231,859,257,699,230,000,903,452,914,991,153,
173,822,534,810,299,179,886,232,919,964,544,187,886,037,902,736,491,181,021,
799,940,379,508,843,661,931,965,321,673,605,041,783,545,856,699,497,811,541,
596,048,956,660,262,290,968,457,711,058,102,569,551,955,345,372,077,528,250,
246,290,999,850,397,681,278,886,230,518,352,814,673,922,583,534,659,552,693,
392,949,444,319,453,444,413,727,597,019,304,230,192,681,195,834,206,362,241,
791,394,509,319,038,683,312,906,855,753,324,048,396,574,736,895,982,806,656,
257,593,649,359,908,690,381,079,674,351,478,614,676,976,193,849,819,127,054,
789,779,627,910,038,317,461,752,210,852,146,948,422,675,325,300,486,671,029,
372,965,660,215,109,022,140,886,478,294,190,137,250,921,330,923,057,093,397,
066,016,154,675,314,897,626,007,395,058,196,386,861,010,308,271,774,140,313,
912,719,460,368,337,820,546,999,167,987,905,029,353,916,469,316,493,959,330,
557,756,076,101,964,196,144,256,213,125,873,849,870,329,678,962,730,718,667,
921,990,104,903,178,601,398,458,895,618,057,064,034,283,278,173,133,633,992,
737,418,233,694,622,459,191,588,132,365,490,540,166,421,623,642,997,582,646,
436,675,022,613,041,162,090,555,515,223,496,933,355,935,835,482,952,497,045,
208,127,031,250,714,356,178,222,865,704,766,888,923,108,194,733,010,724,011,
935,068,495,610,090,449,663,591,392,095,534,603,932,064,718,162,344,546,145,
492,841,225,709,215,299,397,989,579,940,285,711,930,503,687,520,993,918,431,
175,550,849,116,314,898,709,390,905,961,448,058,448,819,783,230,589,468,022,
982,772,405,741,254,226,356,430,662,010,602,474,283,139,024,890,658,062,237,
360,890,187,896,744,039,632,431,403,540,647,744,386,699,548,067,399,893,335,
383,587,501,820,112,180,406,572,465,992,052,666,349,164,112,230,438,029,319,
454,881,268,052,878,651,281,440,492,317,767,637,988,432,258,347,581,161,516,
741,353,197,540,793,983,621,024,761,452,814,570,777,512,389,160,933,351,370,
201,672,181,929,780,331,425,399,056,634,541,088,095,709,938,290,435,054,942,
584,408,578,972,698,110,187,926,302,102,725,811,135,019,305,203,355,989,566,
984,273,684,154,644,541,561,464,451,218,787,220,727,066,181,171,654,092,040,
633,876,824,125,440,416,222,472,223,506,333,784,688,380,740,967,497,259,523,
139,277,459,258,711,912,472,978,216,100,502,205,035,068,107,438,437,663,330,
296,986,863,566,284,544,618,502,752,653,646,528,350,098,472,023,398,007,264,
003,154,777,543,137,469,794,413,149,501,365,558,711,789,059,064,304,403,973,
897,881,126,177,349,377,344,256,723,626,442,704,477,816,075,846,578,410,499,
301,496,073,907,000,463,145,715,837,889,690,444,992,065,087,888,792,873,269,
509,827,585,689,428,150,996,358,799,965,912,174,993,558,659,063,929,766,507,
665,137,232,311,056,346,665,574,477,533,504,905,565,791,480,225,826,695,568,
344,861,290,399,232,518,366,872,469,567,683,887,620,455,143,242,800,157,821,
475,752,555,530,124,833,032,477,043,810,154,065,417,718,749,729,704,539,678,
980,086,282,392,950,351,127,026,981,654,909,374,996,772,969,376,219,144,961,
413,173,933,610,135,659,104,131,159,144,472,573,618,146,323,601,046,403,945,
529,837,933,322,806,214,043,484,892,454,777,573,008,477,518,975,581,048,402,
833,936,253,609,732,983,335,157,685,199,649,549,958,184,240,375,569,756,643,
670,260,252,422,687,281,439,566,122,532,377,021,192,495,889,319,319,591,000,
224,114,027,280,779,509,375,929,886,559,924,751,809,703,080,469,494,553,556,
746,133,361,870,702,284,793,732,697,479,136,744,158,694,752,223,385,843,589,
465,600,262,536,784,776,811,461,147,078,987,904,058,060,479,856,799,853,184,
181,592,467,992,903,540,470,376,987,834,456,848,446,387,148,556,371,584,950,
048,703,321,935,317,698,758,958,629,864,477,060,340,962,548,723,443,453,408,
157,134,323,100,243,013,808,084,906,157,384,380,625,945,352,291,070,358,022,
088,473,443,606,184,656,461,359,898,622,505,506,817,747,267,283,357,954,020,
692,879,946,641,688,896,643,439,081,869,947,057,418,221,561,240,296,442,991,
924,695,928,060,349,865,164,345,281,448,662,929,776,923,940,469,388,186,005,
388,299,192,252,004,502,563,599,331,097,910,662,153,181,988,634,023,681,665,
705,245,206,867,429,946,735,542,484,706,379,647,134,442,821,900,551,183,037,
422,165,822,920,305,777,710,388,381,392,071,524,954,941,786,080,505,673,051,
671,508,796,338,777,627,173,125,855,676,503,287,746,479,145,199,474,152,571,
566,608,342,486,975,296,956,105,612,880,892,728,510,371,381,890,759,985,141,
343,997,034,970,198,527,842,178,847,205,060,697,487,696,344,165,676,121,565,
193,144,475,479,439,449,255,148,723,444,688,288,356,474,340,332,962,826,611,
496,509,884,408,407,011,085,772,127,704,762,633,892,145,498,442,110,108,638,
977,892,620,038,301,868,434,734,580,704,903,704,964,170,931,894,154,063,547,
555,518,268,059,579,770,667,526,447,314,284,237,265,323,182,030,425,438,161,
018,582,950,376,218,369,711,339,709,019,891,126,787,241,642,649,335,955,521,
137,665,439,017,569,211,813,923,612,024,601,721,483,477,242,665,264,838,989,
261,337,622,824,905,461,043,656,844,012,528,316,408,799,664,459,540,227,569,
783,118,194,557,060,468,407,929,956,652,586,810,369,969,228,777,875,026,192,
558,760,950,086,993,368,143,285,457,218,261,702,710,670,705,586,949,487,118,
747,513,280,584,845,870,904,900,248,869,232,260,972,540,183,751,609,255,218,
326,766,095,756,055,136,969,066,984,561,313,592,399,574,248,711,019,788,106,
559,697,544,657,102,706,136,184,058,365,705,363,602,061,265,969,720,489,284,
650,054,080,480,985,354,980,396,308,630,733,196,764,153,850,245,510,919,312,
629,983,706,720,136,442,734,839,047,691,628,841,665,282,299,193,721,144,916,
551,723,217,225,320,622,957,694,207,920,748,322,029,314,093,726,879,249,227,
258,867,472,392,081,441,009,446,550,569,677,924,876,498,589,113,814,591,958,
426,787,566,672,274,475,945,650,442,147,039,834,578,851,784,985,012,526,725,
727,153,186,123,672,418,676,209,284,988,939,452,064,686,960,842,876,810,424,
088,928,758,016,165,762,189,359,076,701,604,463,867,889,701,363,680,953,230,
406,459,436,894,327,853,166,358,965,914,168,956,069,084,208,900,092,262,811,
468,040,284,294,298,994,112,019,943,826,013,277,102,448,381,612,549,341,827,
834,818,817,191,939,191,551,198,687,588,443,261,746,128,121,044,891,411,885,
554,931,185,109,042,880,325,669,756,334,349,707,828,286,440,558,836,765,818,
595,662,472,369,092,644,638,364,889,060,193,573,150,429,229,453,694,044,790,
122,214,564,490,851,551,918,976,501,924,314,765,813,472,965,931,919,834,452,
957,779,386,581,347,361,171,904,258,081,630,226,585,852,507,622,511,831,243,
001,542,673,447,840,263,863,333,879,722,478,897,608,051,909,751,688,244,288,
996,356,153,650,835,374,548,339,644,464,474,579,766,758,522,753,549,735,862,
131,561,616,724,852,980,968,678,550,444,400,031,025,559,260,874,859,450,937,
338,884,777,050,152,064,583,557,124,221,500,547,787,193,134,109,561,681,235,
567,434,246,639,032,461,911,065,309,023,915,094,811,226,206,888,349,036,590,
130,066,304,444,600,235,069,796,829,065,293,021,143,133,227,408,440,750,970,
824,722,518,409,616,075,580,204,003,432,196,443,678,165,249,630,502,460,574,
664,671,058,083,022,163,209,722,805,332,600,871,638,283,489,031,280,780,187,
954,855,547,541,154,732,663,732,736,936,668,626,757,680,372,750,228,962,740,
585,961,565,909,070,215,553,842,636,536,716,400,621,996,481,725,618,426,160,
463,750,240,821,852,622,463,186,134,890,734,895,736,481,328,253,765,679,803,
994,855,684,165,514,847,455,936,643,166,685,064,232,122,961,304,141,892,262,
684,123,605,512,898,693,266,533,809,635,420,791,734,070,449,388,487,992,813,
036,819,276,734,757,208,523,498,368,864,243,033,947,254,380,053,998,538,296,
671,037,496,158,747,199,181,977,134,268,482,936,372,740,271,715,399,310,121,
501,301,334,027,138,992,126,918,969,767,234,504,421,724,777,881,735,636,752,
453,446,862,974,730,555,530,503,024,842,217,644,648,575,335,959,856,728,667,
537,194,476,445,984,266,116,695,424,903,317,430,229,375,288,639,787,353,513,
641,947,833,128,147,962,143,980,281,234,054,333,255,141,480,629,462,697,819,
508,873,916,224,340,868,328,004,147,242,727,532,275,233,418,675,846,099,738,
045,411,499,237,664,397,782,484,629,470,579,140,190,893,734,300,457,046,965,
123,013,618,044,746,771,963,660,739,393,082,887,980,360,561,770,156,167,057,
029,673,146,685,434,904,908,993,249,606,554,472,730,985,686,606,657,547,985,
870,023,516,345,181,254,849,524,229,851,027,682,608,025,731,722,805,941,710,
673,358,979,797,727,890,988,904,075,103,816,608,406,757,716,321,690,510,330,
407,562,501,731,700,411,656,601,369,022,786,523,325,650,674,537,504,072,420,
775,877,134,516,384,894,606,335,824,653,164,807,114,105,526,747,458,682,252,
146,174,939,580,841,429,094,283,839,121,233,526,614,103,722,965,833,494,424,
470,792,792,195,399,241,811,080,059,311,333,079,567,720,544,516,448,739,131,
746,534,257,744,970,320,772,729,309,777,565,349,362,530,689,244,231,532,990,
502,412,619,501,752,158,071,946,017,123,763,757,350,149,432,988,134,894,222,
556,774,697,781,311,712,496,690,983,178,242,085,271,846,697,843,176,122,778,
555,654,531,754,310,847,826,880,701,365,082,135,145,397,745,023,261,549,206,
969,275,241,472,451,870,542,571,035,164,632,784,445,995,803,504,816,797,847,
785,188,032,165,879,527,231,984,125,322,976,274,864,528,798,808,138,073,953,
206,742,106,517,250,540,097,836,828,370,813,852,820,344,669,839,374,834,848,
700,094,823,784,286,861,172,734,896,683,403,970,149,836,736,935,350,739,913,
549,535,075,282,838,459,056,600,543,021,654,801,170,067,388,015,759,526,914,
947,057,483,849,994,892,757,468,609,208,510,221,998,376,349,356,236,495,115,
657,925,371,429,678,811,030,310,209,908,799,945,385,614,544,641,939,078,288,
696,695,002,512,269,320,381,580,286,167,196,458,556,494,505,537,165,650,899,
347,128,470,258,248,248,609,265,292,031,108,641,981,234,007,516,921,976,671,
828,687,456,360,045,879,522,038,567,527,933,230,659,147,818,537,868,515,760,
629,522,127,627,284,291,767,279,861,132,257,600,726,597,831,860,351,155,032,
815,506,378,400,363,339,462,665,135,981,558,023,998,605,655,569,367,792,125,
565,366,951,013,908,690,506,389,137,932,236,395,273,696,718,731,066,434,755,
945,623,833,594,987,226,102,268,298,085,940,103,376,627,432,810,247,188,779,
152,853,697,118,202,689,219,751,910,461,036,016,496,292,379,848,988,031,273,
528,787,967,258,020,060,017,456,742,817,515,116,951,918,411,542,771,698,335,
797,998,756,407,840,737,733,790,756,018,024,460,454,703,532,896,528,849,239,
832,846,774,176,379,265,686,957,378,595,946,320,790,929,599,263,840,947,040,
421,184,971,414,723,370,265,035,205,807,463,992,782,220,315,407,916,331,708,
506,852,396,198,497,724,953,158,260,532,625,586,706,269,794,190,153,980,489,
297,620,562,504,813,094,685,264,486,009,999,189,818,016,996,981,988,927,177,
755,524,110,261,955,255,376,255,037,981,744,899,107,180,338,722,626,123,218,
001,740,023,845,961,477,941,808,411,921,736,097,396,195,317,003,502,140,720,
263,018,344,556,161,097,392,733,687,311,379,683,485,132,325,170,398,098,586,
822,421,304,904,334,818,095,652,706,028,017,698,658,722,177,515,408,836,416,
065,408,691,050,804,165,661,515,627,908,589,859,092,596,206,046,075,951,988,
734,317,324,953,424,840,065,596,461,947,325,073,577,847,622,589,992,881,068,
883,276,467,368,050,256,144,285,657,266,486,530,895,622,708,460,788,197,917,
469,093,453,366,163,317,466,932,079,144,937,163,741,151,664,704,108,275,758,
647,942,243,517,128,196,841,986,161,287,368,549,131,809,670,734,859,437,067,
899,073,655,536,913,660,903,058,068,902,732,220,190,050,083,146,564,744,188,
126,893,136,800,597,356,226,355,702,018,369,480,765,520,264,904,885,880,171,
634,401,981,043,812,213,681,333,874,225,280,440,615,577,934,222,906,217,192,
260,327,164,295,679,300,318,439,054,261,275,871,043,908,608,641,942,561,115,
948,812,058,372,842,705,968,520,907,127,803,528,968,474,117,746,676,457,563,
189,682,081,017,142,843,549,234,105,762,258,462,067,302,383,566,262,408,232,
785,100,750,521,427,833,573,158,249,941,419,410,042,058,572,317,590,286,669,
335,496,394,110,042,083,702,708,319,160,829,356,995,464,974,600,585,893,787,
397,549,900,772,439,190,938,319,924,449,113,135,689,442,474,083,589,827,539,
323,044,356,891,138,952,468,119,812,673,524,429,115,551,127,127,714,255,650,
855,761,708,926,246,071,708,914,311,269,966,213,900,268,087,661,808,120,889,
978,635,100,736,433,347,558,072,207,314,140,020,759,867,179,703,314,435,596,
818,693,540,737,765,838,490,263,697,934,305,872,339,552,147,742,696,796,724,
569,191,537,417,618,714,645,822,190,934,288,637,268,949,713,395,995,668,794,
373,362,219,886,301,973,118,019,928,044,209,021,629,563,123,834,565,905,020,
678,118,006,678,240,532,777,823,396,256,810,610,995,720,073,337,838,538,250,
505,733,133,384,271,058,989,176,697,233,106,297,569,591,478,968,358,910,650,
829,463,008,067,687,655,802,689,588,940,064,865,242,650,013,658,142,378,104,
123,403,788,449,169,110,838,114,480,893,671,518,072,498,640,279,403,789,782,
096,234,744,377,379,446,648,187,608,508,164,903,224,243,213,051,415,790,793,
405,388,960,033,656,917,749,203,258,240,628,567,928,251,751,063,157,328,548,
112,943,181,868,615,748,758,039,466,236,622,547,475,832,686,074,605,899,337,
807,253,030,711,097,670,912,253,604,892,289,528,131,463,666,961,788,663,177,
582,209,787,257,672,528,518,254,502,147,562,594,875,296,966,805,190,555,930,
751,570,544,917,414,246,402,763,541,092,277,463,423,615,177,734,926,131,542,
761,125,981,068,968,774,999,055,602,058,901,081,962,776,522,848,523,896,689,
123,986,357,624,200,616,552,331,102,789,700,308,149,243,360,755,770,790,298,
160,349,558,094,071,552,316,515,879,204,018,942,448,040,124,332,267,938,371,
263,851,912,236,383,270,904,212,593,554,040,735,314,190,063,069,400,348,119,
921,774,410,059,645,200,057,983,416,674,528,741,277,820,485,900,201,798,503,
655,283,423,357,143,093,625,813,961,014,919,659,708,304,063,910,947,143,398,
611,067,697,681,079,754,524,056,817,188,244,121,250,523,871,948,029,014,301,
563,970,637,087,957,533,963,610,089,844,543,600,952,168,815,086,098,981,641,
236,628,714,142,519,917,191,575,574,429,544,741,773,596,846,547,968,890,358,
231,322,924,041,671,964,781,306,817,956,345,791,892,841,770,141,684,150,135,
265,689,501,167,556,676,358,581,492,091,384,472,458,698,575,052,314,841,694,
066,329,535,636,909,797,802,763,972,140,242,681,104,110,483,270,084,238,161,
158,143,443,434,227,946,273,372,096,044,834,695,093,203,056,239,550,209,506,
604,135,827,899,831,440,442,681,751,030,832,642,408,681,746,180,487,793,189,
834,147,418,046,245,017,418,940,864,825,544,087,700,053,002,944,357,367,396,
958,973,250,102,607,516,214,444,021,293,783,468,824,562,539,302,989,296,231,
651,125,692,035,496,294,902,170,117,570,199,218,903,050,115,378,236,486,565,
397,715,902,771,238,042,110,280,500,090,853,826,601,723,375,400,785,011,823,
145,159,631,254,112,439,334,601,132,425,001,384,472,716,230,684,864,822,697,
556,009,273,372,219,537,345,059,018,469,500,707,092,105,447,928,116,560,940,
756,428,036,710,672,999,549,359,800,074,829,669,796,572,125,811,591,463,255,
668,334,349,413,548,725,246,374,903,594,009,342,391,333,185,581,359,380,145,
608,834,190,932,134,297,186,636,975,128,161,114,755,407,951,960,558,020,354,
949,707,733,128,898,592,527,216,481,363,978,502,106,429,963,784,158,111,437,
405,874,547,759,796,105,322,935,729,445,018,397,940,428,937,420,140,847,374,
510,018,131,084,038,990,182,219,629,089,558,026,923,597,744,590,156,382,357,
124,759,936,616,405,585,508,564,359,627,923,075,033,578,456,569,998,121,741,
621,272,305,245,607,794,549,409,678,437,168,875,242,976,144,384,789,789,430,
306,953,442,724,696,155,341,175,115,798,130,726,326,103,878,985,185,877,723,
690,485,979,535,148,887,911,106,019,189,640,125,595,473,295,707,688,162,768,
104,392,587,266,636,717,817,957,972,653,447,700,617,224,311,095,583,754,514,
100,925,835,922,743,450,065,520,021,024,650,206,853,114,427,380,446,941,409,
266,798,607,158,570,605,613,490,205,350,661,809,077,600,111,083,830,834,738,
874,384,391,481,647,691,537,611,438,268,606,784,670,517,584,708,217,660,607,
476,438,503,866,230,395,612,014,493,316,381,662,166,854,706,100,912,889,389,
471,026,261,350,372,731,273,897,390,374,828,647,562,417,526,826,334,558,674,
574,551,038,126,826,007,886,538,206,603,551,596,871,052,286,321,344,643,478,
459,879,885,603,233,615,819,118,944,350,131,394,025,232,102,447,986,226,769,
591,616,491,887,844,732,529,468,541,942,108,384,319,230,212,961,660,274,656,
358,821,287,271,403,490,424,144,045,278,026,490,653,827,738,287,828,091,113,
577,762,428,456,808,603,189,388,797,166,514,777,262,809,414,624,408,898,005,
149,933,277,090,903,685,333,602,293,340,907,278,515,518,225,807,828,814,122,
349,550,355,546,198,482,559,852,068,493,026,292,288,621,463,498,423,931,100,
597,959,065,266,616,680,695,727,405,929,396,045,808,322,104,215,542,571,404,
944,497,458,193,177,440,095,035,873,541,872,687,918,670,257,881,963,150,242,
551,781,262,420,892,656,199,228,128,373,070,247,781,206,824,692,827,232,078,
468,240,807,304,794,992,411,533,782,480,182,833,149,605,157,358,059,428,270,
223,631,082,809,334,913,294,985,226,381,769,920,852,611,275,154,186,486,888,
418,621,052,759,513,146,377,792,745,595,468,658,846,702,500,602,539,996,112,
982,276,525,810,015,568,045,001,243,218,968,277,435,255,767,773,992,780,764,
934,081,034,665,897,551,068,314,798,407,631,635,990,442,584,585,682,521,488,
062,455,319,638,761,691,242,426,010,742,270,315,229,248,888,831,775,452,444,
720,414,757,372,606,082,924,543,514,984,438,363,685,728,977,956,011,018,902,
172,604,599,815,445,987,387,211,879,767,892,040,939,938,167,332,594,801,139,
797,730,951,167,817,754,656,590,665,945,290,372,040,000,193,616,165,109,666,
913,395,514,537,968,434,689,952,230,449,726,761,795,175,666,027,405,114,715,
533,755,942,828,321,513,045,284,959,235,094,558,219,756,533,489,309,623,114,
137,662,299,531,571,687,534,567,893,104,212,464,469,072,906,063,580,318,350,
887,701,607,887,060,389,256,541,674,466,122,719,375,315,738,667,193,849,035,
527,810,613,951,143,968,774,889,008,280,782,120,610,386,201,210,236,880,464,
951,990,360,155,584,959,013,297,379,138,691,293,510,336,982,792,537,838,782,
818,173,438,551,471,263,292,760,572,852,714,592,541,508,980,735,540,351,926,
198,941,449,574,369,263,384,110,094,444,483,810,273,920,776,409,529,159,905,
111,820,629,229,878,681,633,070,582,873,995,412,113,369,968,469,632,943,308,
681,017,442,299,375,358,977,123,030,625,114,121,887,019,530,434,699,455,763,
865,022,975,790,580,308,291,986,364,768,303,467,901,985,837,520,920,284,685,
564,400,125,237,929,378,102,269,998,499,997,073,679,527,094,283,804,383,242,
143,580,506,751,929,105,376,952,271,882,746,535,184,241,721,880,427,890,830,
804,172,555,130,611,538,195,262,165,091,622,319,786,446,946,599,368,206,500,
792,427,761,497,417,016,208,412,863,654,635,575,532,819,165,670,533,725,518,
339,121,529,664,185,677,925,073,716,804,138,907,161,307,615,730,734,084,423,
332,613,381,438,142,616,047,713,592,989,299,155,589,344,298,353,509,391,424,
664,835,279,858,759,252,851,072,229,100,472,334,789,300,983,423,671,108,265,
406,814,508,912,329,667,301,729,497,989,335,425,894,742,460,000,407,350,915,
177,946,927,409,020,461,814,732,895,779,670,941,566,269,925,507,421,010,300,
730,091,677,115,990,438,991,800,229,089,853,558,095,879,705,526,873,096,239,
274,214,346,739,222,637,769,514,115,826,493,254,617,589,398,398,478,741,114,
656,210,492,117,989,128,742,735,107,621,324,765,779,258,749,391,872,207,207,
897,237,843,798,488,011,565,174,276,110,126,488,247,504,137,571,120,087,840,
144,219,826,820,812,522,631,903,522,517,881,092,822,182,041,414,698,966,450,
246,501,765,239,651,962,559,436,594,441,832,121,688,994,160,227,067,911,287,
539,855,903,813,438,700,756,163,677,175,368,416,799,227,592,259,526,038,478,
754,972,954,921,700,399,051,716,433,546,211,556,179,728,107,732,023,237,120,
849,253,600,845,131,462,724,308,039,870,330,847,182,726,555,974,247,000,531,
693,174,829,371,447,294,914,288,277,674,030,453,415,907,432,848,423,523,679,
039,659,426,748,931,837,970,606,709,762,972,416,726,429,125,141,827,703,907,
727,921,475,520,600,088,780,042,057,919,226,409,640,220,040,908,772,989,640,
075,131,784,763,682,694,483,235,532,620,788,868,091,573,227,344,924,896,593,
155,906,707,484,217,578,627,881,545,909,294,001,262,669,526,457,457,827,963,
540,687,277,654,029,600,032,711,769,186,609,624,761,748,316,763,020,766,063,
018,969,052,236,045,472,365,678,267,548,636,901,365,514,539,638,528,574,096,
994,365,606,470,198,156,085,985,234,462,860,483,755,157,591,768,101,709,959,
075,378,081,688,292,221,353,537,631,332,596,120,739,693,852,962,251,065,188,
938,833,783,773,679,793,317,179,858,179,040,436,568,196,017,868,795,450,439,
778,674,104,398,422,050,619,171,441,869,668,083,721,274,121,402,995,630,337,
451,975,892,672,453,859,433,352,009,960,187,536,310,486,964,745,506,571,435,
443,066,849,564,241,107,946,039,824,009,533,704,599,386,743,246,841,598,836,
237,469,431,937,175,223,610,382,722,002,951,285,108,163,598,273,675,865,338,
220,079,584,717,520,844,663,043,589,810,535,416,059,384,923,980,738,435,500,
381,482,689,792,026,011,798,158,851,497,953,949,155,832,007,382,764,082,834,
783,095,070,668,971,212,292,435,652,281,921,431,306,635,064,215,686,910,928,
980,851,144,913,395,297,040,963,437,156,258,933,987,227,609,450,359,719,751,
004,986,889,546,877,218,151,450,021,865,806,275,832,539,588,646,707,949,555,
288,689,108,050,990,113,566,036,875,418,249,567,518,870,539,785,460,360,328,
702,455,442,344,686,316,384,953,930,905,034,519,576,201,461,556,371,514,738,
725,641,197,415,535,126,899,778,160,089,201,023,097,235,295,050,730,190,693,
857,069,654,081,465,218,869,036,789,109,671,270,520,145,081,263,629,083,420,
692,666,186,361,841,401,893,881,460,458,576,649,066,013,796,836,577,891,278,
381,833,539,758,636,076,785,476,889,952,259,254,875,633,912,169,312,646,020,
635,558,068,113,652,193,853,019,447,993,861,393,602,425,110,799,171,487,152,
825,643,063,681,647,555,755,339,708,504,923,967,966,279,603,038,999,946,818,
469,017,662,298,863,804,407,313,919,268,904,918,472,705,122,995,918,625,511,
126,554,429,231,989,811,719,757,283,263,398,197,073,000,250,093,864,535,708,
180,722,561,891,341,211,415,518,981,628,100,296,656,742,399,644,333,420,868,
646,765,178,154,577,283,360,469,892,670,650,169,797,949,270,006,935,349,654,
180,788,003,908,511,305,118,110,116,463,324,863,334,154,753,488,953,217,069,
436,373,530,374,426,285,954,898,282,632,123,904,438,844,921,546,329,772,810,
348,906,129,443,540,574,159,970,639,142,737,201,746,176,297,464,678,692,860,
063,669,208,787,232,037,226,817,581,671,363,235,742,028,150,712,077,509,954,
850,551,661,241,575,166,464,749,909,207,147,133,291,884,099,089,726,972,032,
759,367,102,601,271,555,753,586,746,926,213,805,459,287,972,703,120,400,690,
619,181,760,509,520,448,050,510,291,495,059,250,055,271,044,878,714,980,126,
168,615,625,421,797,329,399,477,718,967,329,611,911,794,086,672,070,320,998,
460,043,213,345,905,617,693,897,860,757,692,468,234,098,316,184,681,465,707,
400,931,543,979,277,938,718,661,753,157,162,866,967,515,939,968,131,150,544,
668,787,714,348,919,474,503,762,036,993,218,624,613,510,360,468,915,769,328,
735,480,767,334,889,683,359,622,641,570,411,333,080,405,840,168,337,428,643,
087,991,567,589,921,240,239,346,723,128,461,670,827,197,229,868,194,364,551,
858,556,079,449,686,661,081,978,005,977,316,668,506,155,568,166,170,875,608,
136,900,045,642,669,483,699,120,866,081,907,606,091,318,586,628,262,141,800,
020,711,341,970,012,214,238,727,908,681,355,174,247,867,886,791,144,277,392,
041,259,618,604,229,293,473,412,962,477,827,756,030,887,840,831,821,438,422,
782,343,945,698,207,411,836,715,340,245,943,342,260,861,999,373,932,218,744,
773,677,379,621,548,021,235,968,834,334,093,521,691,826,150,479,147,373,494,
475,226,623,730,292,033,787,235,554,786,381,412,948,062,438,314,269,220,539,
515,562,275,153,187,307,314,894,232,369,009,135,729,136,467,858,666,349,530,
523,207,888,670,167,370,985,801,297,595,670,686,124,963,318,687,582,580,520,
076,171,814,046,171,743,854,824,654,120,520,960,352,527,361,315,458,944,812,
111,793,325,941,181,093,436,440,988,472,249,723,555,530,963,906,100,142,394,
740,473,467,620,943,361,203,617,578,913,514,462,321,464,416,891,621,181,570,
120,413,901,200,918,016,282,385,185,542,636,492,085,066,927,851,219,166,861,
121,924,677,019,714,036,166,180,851,494,371,072,321,572,934,795,237,527,735,
083,889,629,236,636,640,443,567,562,070,268,447,584,786,094,542,258,838,377,
491,614,373,923,406,178,578,468,831,377,745,438,054,517,635,154,365,933,105,
497,031,040,686,836,192,620,298,609,259,465,439,596,738,723,682,418,640,467,
483,217,303,528,040,005,352,732,785,949,292,235,373,041,743,305,905,792,693,
157,176,752,593,388,935,839,160,481,045,845,043,986,719,640,920,964,682,292,
644,783,855,041,698,917,496,582,220,540,370,959,937,283,120,041,489,670,663,
873,014,734,142,613,436,141,701,963,838,339,444,000,683,769,841,524,516,852,
627,464,352,078,533,442,624,902,597,824,597,805,407,919,024,596,110,314,477,
518,304,802,980,394,230,686,560,337,638,216,563,179,528,160,471,745,768,968,
141,050,781,010,719,943,071,569,860,363,104,603,707,532,614,679,993,161,136,
045,159,506,789,554,056,092,084,911,927,450,164,125,787,466,285,167,079,985,
588,571,869,503,014,634,860,777,070,669,178,475,738,984,641,294,179,325,102,
111,040,097,556,239,244,556,154,100,655,349,297,648,037,285,415,219,225,910,
978,763,018,171,599,738,636,967,358,925,583,868,820,085,919,537,223,059,575,
228,572,451,599,559,159,986,159,716,050,387,041,240,710,693,452,501,316,850,
236,249,751,273,368,509,617,502,195,064,171,646,202,068,578,367,288,204,470,
331,481,386,824,662,006,222,253,983,343,798,504,755,075,159,561,950,267,420,
441,417,455,542,409,990,488,442,741,274,869,216,099,895,829,634,199,420,444,
416,339,563,364,527,116,955,634,782,719,588,431,432,504,579,216,213,443,690,
746,039,382,376,254,110,202,285,657,592,093,400,491,024,830,452,475,469,962,
589,466,849,802,478,623,403,389,535,607,380,958,022,502,948,147,095,963,153,
678,831,713,127,830,507,494,570,057,564,502,929,066,291,779,956,131,214,544,
111,031,069,291,547,453,215,546,581,580,249,776,208,320,985,463,099,892,063,
191,857,126,127,380,211,055,874,910,434,993,715,327,495,549,170,829,653,218,
234,337,694,514,551,970,368,926,672,306,079,151,473,799,273,144,034,132,008,
659,942,955,356,525,891,315,807,175,320,577,814,160,305,232,290,745,163,613,
424,247,241,021,006,967,077,378,196,739,533,189,511,819,486,613,638,190,561,
045,255,963,645,922,098,784,064,502,113,139,531,052,641,601,403,516,148,353,
572,850,703,371,493,644,266,186,201,488,915,138,450,126,955,500,445,373,381,
340,524,664,761,943,129,080,072,423,271,235,308,370,501,920,693,486,245,444,
399,174,311,245,578,436,814,649,543,626,236,366,019,819,018,834,149,505,044,
001,587,391,867,007,085,328,157,915,933,105,821,952,239,335,849,610,492,686,
389,568,146,280,281,192,115,948,079,114,204,951,875,514,770,274,827,915,175,
878,988,406,477,830,663,486,151,342,426,029,104,365,353,199,456,646,202,185,
745,721,280,253,969,192,107,380,329,988,169,941,409,799,070,239,682,540,068,
043,304,224,045,117,668,158,052,272,637,593,440,493,601,816,046,425,105,832,
796,452,888,123,661,257,174,321,651,926,810,315,096,306,792,951,442,083,134,
197,765,706,986,379,155,702,311,869,829,556,049,396,910,286,432,004,119,693,
741,625,013,884,352,906,769,931,813,104,516,555,731,290,782,595,634,061,513,
209,416,207,179,837,349,392,571,176,734,427,293,027,212,330,916,686,842,025,
065,076,344,108,771,482,050,307,310,197,483,574,897,806,252,229,715,887,599,
782,886,399,635,996,887,476,055,832,550,786,907,573,427,782,652,976,894,306,
612,874,243,432,817,996,951,431,768,231,659,322,132,911,117,472,824,993,172,
924,064,265,649,949,390,176,138,216,537,841,524,602,454,393,952,646,652,121,
552,301,019,994,596,388,200,144,627,478,696,690,733,815,068,563,143,604,399,
796,808,187,986,508,654,516,483,421,743,920,155,102,739,072,220,700,539,976,
571,931,852,476,526,472,851,967,477,590,895,513,816,316,799,709,117,271,094,
851,421,729,092,262,626,911,100,521,448,468,611,068,983,513,655,447,388,515,
985,565,668,807,422,685,711,347,338,832,889,755,978,752,902,163,763,641,616,
375,687,885,622,378,696,650,318,346,372,214,929,826,561,389,000,852,993,844,
533,929,373,913,723,123,030,372,148,596,619,548,023,676,294,250,922,106,337,
299,662,861,242,030,720,808,066,627,756,966,791,367,081,138,495,850,727,267,
795,047,208,470,239,452,653,093,262,062,003,711,539,545,584,764,245,806,107,
499,543,526,229,437,673,703,340,125,258,209,751,232,511,521,274,423,905,229,
645,888,036,072,268,838,782,105,215,457,935,910,825,664,771,455,344,854,371,
075,051,219,455,456,524,004,305,414,121,157,795,308,273,950,775,281,713,076,
301,743,743,885,018,320,205,474,834,633,474,367,941,123,365,189,097,907,770,
165,636,782,165,301,341,899,209,491,739,034,607,351,314,287,375,082,633,467,
047,527,150,529,561,473,747,477,915,950,824,809,064,299,367,912,810,200,283,
309,491,312,599,475,737,517,549,453,972,657,466,375,642,584,823,710,777,048,
527,729,393,311,224,818,395,291,480,518,786,660,300,225,478,575,987,293,868,
343,596,353,803,626,412,638,515,511,240,595,854,242,691,471,468,494,753,331,
326,920,154,341,325,507,749,052,932,203,740,033,892,039,852,750,265,921,308,
209,338,128,706,951,508,030,162,055,165,185,121,560,185,821,231,739,633,368,
901,209,425,372,577,960,426,729,957,340,535,461,412,480,180,680,488,178,561,
233,283,562,812,854,217,325,536,363,568,997,536,678,054,617,391,081,761,104,
501,012,909,328,126,017,716,247,032,272,619,099,204,838,439,561,278,725,302,
263,843,895,698,087,566,644,463,678,980,320,605,141,017,997,172,166,210,772,
808,292,013,728,226,886,658,103,870,674,828,387,994,193,828,947,477,091,147,
920,484,309,847,862,157,928,285,980,582,182,153,760,798,039,799,142,669,266,
869,344,509,999,154,440,995,103,473,630,854,297,919,244,235,573,834,412,312,
705,187,477,734,148,536,947,585,515,890,622,171,530,501,665,486,946,300,777,
531,756,113,834,128,857,179,840,807,237,350,820,806,497,766,413,736,696,132,
612,850,373,735,214,830,555,254,637,820,361,123,669,962,688,990,997,727,064,
094,439,899,504,967,371,786,041,451,619,920,709,488,142,269,391,131,775,881,
012,898,350,384,072,403,900,060,508,056,636,645,811,210,420,738,972,863,737,
209,154,558,999,228,344,663,150,628,804,794,557,776,587,308,692,838,338,571,
836,111,801,270,409,797,020,685,159,434,019,119,414,297,151,761,907,333,965,
883,071,806,001,974,687,758,346,342,010,099,693,389,254,593,469,763,277,772,
058,093,131,747,467,973,611,677,909,506,975,157,009,842,568,832,750,815,677,
639,478,112,758,945,974,504,463,951,313,303,025,730,316,242,474,285,127,962,
488,729,894,199,633,157,039,592,460,070,441,211,338,639,030,241,357,847,222,
287,742,571,100,398,038,856,504,533,734,451,306,522,885,685,557,344,292,089,
659,532,806,116,366,941,354,219,130,627,648,310,565,947,560,919,048,394,114,
201,675,924,396,561,868,589,037,674,607,414,401,494,543,485,564,118,974,267,
574,430,543,085,707,844,712,788,082,430,187,907,300,037,637,556,536,179,485,
198,407,733,752,035,081,376,977,080,845,017,216,288,064,101,480,731,271,767,
869,270,631,391,378,485,635,154,701,126,966,177,432,856,030,724,976,637,343,
451,761,031,452,664,562,798,139,512,149,857,578,394,714,150,906,765,979,977,
163,778,922,168,932,741,068,130,012,196,590,493,729,005,380,121,386,457,554,
354,564,701,940,470,271,825,191,039,151,274,582,653,775,579,456,728,973,553,
224,198,906,308,961,032,577,516,730,144,802,866,049,643,807,157,395,125,103,
873,517,424,563,020,172,098,919,015,896,812,474,678,263,305,857,057,796,648,
231,087,535,374,611,123,820,010,978,599,455,497,283,742,066,868,468,365,844,
136,503,916,797,220,216,848,067,398,019,371,835,769,320,495,067,716,246,396,
711,943,230,023,001,347,351,356,553,930,743,118,559,027,037,653,916,888,316,
598,163,069,332,995,187,184,980,050,827,344,097,269,403,522,264,344,773,477,
749,566,108,634,586,829,467,328,080,566,062,346,179,017,319,113,190,560,657,
467,085,891,501,843,252,553,701,839,400,127,799,560,992,503,277,882,984,855,
824,742,738,613,608,679,073,323,315,381,191,354,372,185,339,123,898,100,268,
207,980,529,087,968,690,193,527,997,278,716,570,613,082,140,376,803,223,329,
934,114,199,971,332,777,737,687,732,487,527,536,405,894,658,802,792,967,051,
940,850,604,765,900,000,393,768,017,743,851,895,189,449,825,205,431,758,204,
986,757,136,403,647,773,532,168,600,868,931,748,091,213,125,320,527,499,926,
721,111,074,292,165,853,706,699,998,010,738,807,842,707,232,498,925,607,225,
016,468,583,756,895,414,704,174,487,589,280,153,500,718,744,205,753,136,594,
524,020,006,805,704,512,931,211,175,984,937,848,129,409,309,963,130,340,500,
994,494,574,982,976,826,078,456,190,092,518,324,718,779,368,023,103,390,570,
417,152,150,273,273,176,016,829,068,358,529,153,189,359,327,017,952,598,004,
840,706,634,361,349,727,529,803,849,240,987,796,743,185,762,915,607,051,253,
627,094,330,161,116,228,303,024,900,902,084,962,928,187,863,555,874,763,726,
269,174,284,195,140,385,555,494,842,322,736,337,452,593,540,935,130,512,585,
302,106,069,430,037,628,770,141,157,559,920,229,255,848,572,749,051,490,048,
926,276,248,111,139,567,647,008,987,082,931,427,142,337,531,246,220,468,666,
323,411,797,912,767,602,102,704,853,080,401,400,544,935,932,950,889,265,351,
263,343,489,053,460,055,072,406,467,363,632,438,599,440,380,199,470,966,849,
348,796,032,606,117,589,213,218,569,548,491,436,858,921,200,660,650,928,246,
254,690,781,863,671,177,157,256,463,038,098,723,481,598,063,996,027,736,377,
248,904,346,110,961,212,553,879,551,432,750,747,659,157,418,228,582,740,943,
083,812,261,549,975,016,974,105,981,176,596,602,777,968,009,565,600,003,128,
988,771,622,873,536,417,095,722,252,505,827,759,742,674,512,284,261,302,598,
930,941,074,410,811,223,209,061,226,607,194,611,767,175,196,396,177,098,751,
304,011,554,760,601,920,600,118,283,337,799,001,137,856,972,272,438,607,308,
662,095,396,521,078,307,950,919,150,499,137,621,531,149,448,876,583,360,236,
666,457,153,443,618,729,502,928,199,734,520,576,445,677,595,504,460,991,981,
142,276,111,300,829,554,385,093,122,692,059,812,966,487,015,088,271,627,752,
657,724,433,719,351,385,996,445,857,685,573,022,843,900,212,007,761,311,416,
790,194,753,272,515,777,792,526,393,684,575,882,794,623,095,786,901,355,979,
629,436,793,561,122,095,849,579,091,999,050,854,910,671,423,338,022,641,866,
635,938,458,252,501,583,811,804,472,435,530,069,020,204,078,321,923,907,013,
383,956,715,614,919,052,586,670,134,809,911,741,051,532,873,636,067,347,534,
955,619,210,137,855,701,884,744,063,351,511,957,810,744,613,604,059,925,319,
217,870,172,330,519,456,280,638,794,484,869,791,229,017,853,584,477,541,606,
540,800,295,504,478,410,032,356,862,753,625,644,009,435,836,258,108,663,713,
331,560,672,135,313,409,991,627,663,180,511,751,373,264,695,601,615,807,857,
516,098,231,198,214,534,314,492,123,812,403,069,705,974,798,490,777,174,008,
564,844,516,855,916,121,028,379,089,533,465,751,835,364,543,542,453,275,618,
044,305,357,804,626,736,452,476,063,332,883,835,036,764,260,193,790,757,553,
931,615,468,971,861,129,686,047,391,404,771,800,622,520,601,732,016,428,192,
788,800,494,018,367,919,870,187,548,736,253,936,260,606,425,778,732,358,908,
807,578,599,490,385,712,145,939,341,907,624,056,932,004,699,879,617,003,133,
661,725,451,306,546,378,211,101,714,996,501,118,490,882,727,813,571,255,171,
654,849,323,133,939,283,795,885,060,424,924,554,965,193,587,704,583,712,153,
881,265,894,002,325,911,591,871,288,961,977,222,122,614,342,742,311,040,193,
503,619,974,462,676,426,285,868,920,903,407,031,352,224,213,330,321,961,387,
122,206,147,108,844,549,633,252,125,162,119,014,836,857,139,917,484,304,702,
256,707,661,489,030,495,863,273,068,644,728,958,956,344,630,309,644,242,023,
176,224,967,697,200,722,766,277,825,341,647,115,684,008,742,558,024,502,007,
040,480,641,934,635,347,550,727,824,741,109,767,284,077,265,583,340,915,714,
536,682,024,191,063,546,464,363,829,670,829,293,871,437,290,174,904,972,623,
735,965,215,613,443,273,294,808,619,958,958,118,309,559,132,126,941,544,167,
224,550,178,647,264,513,463,613,281,604,218,326,953,821,432,146,558,868,168,
338,321,872,327,788,819,712,668,158,168,320,755,304,772,328,387,633,469,509,
734,274,624,562,942,307,041,692,927,117,388,079,282,328,641,246,168,157,307,
568,895,635,131,166,985,014,811,173,721,101,978,617,987,462,199,619,849,605,
638,531,499,805,076,224,180,746,372,398,416,683,064,606,469,316,189,567,033,
339,787,763,488,693,335,943,306,388,601,433,649,081,387,244,217,498,818,714,
779,454,923,378,478,435,126,488,618,656,169,841,323,956,123,519,375,600,814,
008,924,051,960,412,566,817,708,957,688,950,561,998,970,027,542,563,990,791,
995,752,894,654,143,704,522,483,281,831,796,961,500,457,228,553,401,062,797,
780,988,434,635,128,778,188,081,478,765,805,315,947,764,331,652,877,560,916,
006,393,572,872,756,292,438,879,757,855,917,474,407,499,058,395,377,836,208,
287,178,056,507,288,465,625,121,007,441,102,219,061,304,169,330,069,995,701,
132,767,129,233,223,361,781,902,890,329,150,364,665,311,001,855,140,429,517,
977,379,428,141,510,741,621,522,778,071,153,794,917,226,694,012,334,808,499,
049,967,267,439,917,089,585,982,833,512,433,854,659,935,299,255,443,595,507,
043,048,243,311,318,465,262,212,681,369,559,564,759,434,048,250,512,734,519,
382,726,755,839,236,299,150,082,221,046,929,703,335,695,708,517,033,910,715,
020,527,960,392,755,285,654,757,962,787,029,487,873,763,372,975,566,161,903,
941,005,533,044,559,009,039,443,878,480,328,241,297,125,000,121,906,958,688,
149,564,863,896,451,759,423,742,092,702,007,252,324,783,494,147,466,480,645,
662,719,995,085,248,223,042,393,387,924,249,543,383,252,971,871,580,679,479,
245,099,000,802,695,940,065,036,320,982,931,449,073,498,713,352,877,723,716,
263,200,400,016,143,069,088,305,380,911,317,640,175,008,668,677,059,932,276,
966,885,669,174,493,462,308,776,207,171,695,336,576,031,036,718,260,498,008,
064,640,989,481,170,744,665,200,960,897,846,794,448,329,010,672,592,860,597,
728,962,312,125,201,260,751,944,088,479,896,432,847,186,542,639,552,275,568,
278,055,583,256,246,732,695,643,521,553,258,013,022,762,468,859,956,610,522,
650,524,051,698,354,411,941,162,080,206,643,157,871,658,499,686,320,230,009,
992,858,939,746,931,465,130,729,439,071,533,438,307,419,889,635,211,581,479,
507,962,341,120,523,660,717,134,348,885,377,490,129,173,881,662,605,513,983,
917,205,820,278,832,234,130,274,139,606,344,868,473,949,466,087,493,700,097,
053,368,066,866,425,591,569,343,898,992,060,213,105,225,251,323,149,985,670,
463,794,820,155,818,638,264,881,224,189,293,176,917,450,294,008,637,299,854,
598,048,300,587,189,753,693,943,619,387,209,378,369,974,628,634,354,034,186,
807,032,550,527,926,241,821,174,265,820,287,019,980,316,729,601,363,137,517,
491,722,117,671,796,338,807,570,109,886,385,512,443,141,397,875,184,271,701,
039,001,000,851,156,961,731,803,770,295,716,121,637,037,310,932,292,152,238,
509,442,239,263,096,943,643,068,036,266,783,851,016,593,028,859,863,341,525,
650,484,749,105,724,154,353,170,002,121,672,006,005,822,919,137,310,117,406,
282,526,860,156,052,630,061,158,972,951,080,058,893,555,838,957,092,178,764,
160,579,457,535,836,040,205,535,998,405,213,612,616,157,218,332,964,479,676,
056,298,209,559,660,421,283,389,029,702,682,097,902,317,693,880,682,157,276,
494,432,268,761,637,427,505,150,339,021,140,338,338,361,033,707,020,313,329,
797,494,695,338,531,304,319,821,013,428,947,347,437,512,113,492,431,798,813,
383,728,484,080,012,201,926,248,093,772,059,500,584,846,515,212,233,805,511,
972,323,284,117,014,315,145,417,478,365,796,188,937,154,112,861,213,413,025,
717,309,198,974,623,026,895,955,496,488,335,110,914,365,044,570,471,823,945,
460,797,273,554,584,344,787,601,365,942,046,636,963,355,977,258,987,724,505,
436,971,983,469,000,632,118,810,553,505,462,479,594,647,593,715,258,206,637,
099,753,842,814,280,304,654,583,263,038,526,633,773,815,936,064,675,304,925,
391,264,665,704,140,684,705,046,543,718,529,919,450,597,414,202,205,058,818,
855,654,859,997,373,635,224,207,015,342,455,171,872,236,708,655,926,778,640,
983,041,691,664,003,792,797,478,373,988,436,453,412,634,001,294,491,392,513,
381,478,162,317,076,821,933,478,422,844,218,645,276,389,540,559,693,489,232,
603,917,883,145,198,227,754,641,663,201,804,275,839,973,637,116,309,326,774,
764,576,272,438,150,450,572,190,211,169,518,128,690,120,720,550,769,694,626,
469,253,340,915,091,545,878,111,429,605,126,494,379,625,295,944,577,920,729,
682,214,528,489,725,098,474,672,309,780,141,791,424,105,620,708,183,526,907,
259,153,814,751,965,137,238,145,719,583,074,103,572,098,832,933,912,398,229,
211,539,221,018,915,940,615,189,983,278,610,573,361,304,069,412,662,196,061,
391,446,427,614,626,268,925,769,977,250,628,791,485,583,055,208,456,222,917,
191,860,538,059,140,111,738,144,574,558,251,016,643,217,686,129,827,285,092,
975,487,346,818,017,166,599,239,933,528,862,892,695,090,664,167,470,582,022,
387,888,774,479,754,533,221,316,040,749,405,366,500,862,642,873,535,391,817,
660,482,956,066,159,505,891,756,430,612,447,676,673,406,332,118,241,251,220,
961,860,141,010,039,195,749,618,579,827,599,074,141,231,763,498,426,638,550,
675,142,341,336,241,582,541,910,592,540,612,803,013,505,214,525,483,179,957,
182,921,299,348,549,985,436,280,927,459,134,522,618,195,410,356,869,422,468,
933,106,083,140,924,691,682,748,629,864,107,880,447,666,481,953,142,622,936,
973,652,293,827,312,660,940,997,272,955,395,080,245,693,373,197,569,846,237,
366,428,219,434,894,481,209,506,998,538,256,966,269,305,837,423,374,805,136,
838,150,379,950,613,861,095,922,319,134,529,073,120,869,867,987,559,051,710,
377,367,246,640,842,089,575,032,292,787,553,206,961,319,144,162,304,426,615,
237,744,615,141,861,268,271,254,000,351,517,593,067,353,816,349,874,723,633,
813,367,172,645,370,031,942,690,877,435,848,063,436,114,225,493,913,294,703,
226,033,717,568,325,367,402,003,511,274,755,355,178,979,994,822,164,745,722,
937,252,043,175,617,364,342,494,540,276,107,504,614,078,377,738,428,062,018,
929,225,127,740,119,927,047,947,782,746,990,542,125,450,321,598,032,278,567,
396,800,791,481,901,948,919,960,866,970,031,767,435,999,490,896,477,116,912,
589,953,496,064,224,402,613,661,159,287,233,965,758,890,810,858,148,059,214,
367,835,687,552,498,243,704,076,045,102,352,682,748,207,363,075,529,334,054,
097,956,194,738,007,750,631,041,039,436,134,631,902,269,028,957,830,925,421,
743,548,501,822,462,969,050,656,673,503,642,452,616,541,654,117,294,768,162,
774,110,048,954,843,956,619,519,918,939,422,063,402,656,412,210,359,557,680,
809,870,096,369,318,099,552,659,678,090,783,268,787,746,104,534,001,835,704,
511,585,958,141,620,362,530,386,091,079,174,493,127,137,865,422,983,255,932,
619,932,633,180,494,414,277,410,204,783,537,645,278,855,214,177,323,014,650,
348,379,268,794,785,815,797,050,580,062,049,134,706,960,238,229,904,929,198,
133,143,759,317,397,308,981,575,607,186,543,419,873,559,180,468,818,653,963,
115,553,841,464,746,458,471,003,503,739,996,280,112,628,523,744,133,689,587,
961,951,455,368,896,136,026,790,219,928,768,400,645,952,295,162,514,636,917,
323,427,248,809,356,175,622,157,882,886,548,510,726,645,283,751,627,076,736,
498,292,896,442,832,588,837,356,394,497,611,625,582,362,690,531,743,934,626,
114,594,713,253,389,394,662,675,748,752,497,704,128,465,211,609,678,797,243,
650,993,762,804,243,112,843,833,250,415,053,811,318,017,630,116,643,540,027,
653,266,219,307,518,384,922,835,490,277,168,322,707,475,768,691,695,519,992,
151,848,501,688,278,438,396,091,190,847,883,904,425,684,954,327,264,948,291,
711,435,335,278,795,447,443,650,476,321,171,922,664,299,027,384,856,801,195,
434,316,347,176,340,918,200,241,367,293,887,271,204,809,180,510,835,836,681,
579,270,899,578,511,315,607,827,853,448,378,535,200,357,077,838,576,718,874,
434,912,271,053,660,321,879,990,499,435,541,557,742,460,201,856,451,969,359,
257,096,090,602,332,602,207,327,608,174,312,860,692,138,480,470,530,086,049,
394,946,537,536,767,954,241,369,271,971,838,544,249,304,758,622,650,093,481,
187,217,641,799,019,997,932,788,309,628,403,297,106,332,274,185,311,849,045,
220,764,088,874,957,232,936,044,341,855,400,137,937,287,960,598,890,589,747,
233,973,870,067,456,178,887,659,359,263,804,327,366,519,580,531,261,386,062,
332,866,483,993,586,406,791,642,492,650,194,259,122,698,172,186,647,693,970,
652,949,750,766,995,379,255,912,827,738,235,524,452,311,924,969,269,454,508,
332,026,737,895,739,690,710,452,849,246,422,122,501,465,616,976,235,657,283,
448,687,080,314,530,520,607,675,699,797,526,658,219,632,742,533,867,706,423,
282,818,541,602,865,875,398,119,599,696,735,246,416,575,079,736,406,363,809,
150,264,744,002,895,803,825,237,411,738,119,417,063,629,199,054,007,059,452,
961,663,124,415,054,012,376,209,258,509,631,773,223,227,233,162,760,332,472,
339,149,851,290,908,691,578,957,860,742,384,709,192,494,790,705,369,116,342,
254,957,706,727,332,943,499,716,981,546,665,004,706,685,171,843,699,408,568,
613,163,219,966,933,603,309,736,954,159,536,203,732,905,118,420,671,887,478,
096,165,765,486,332,441,279,076,710,371,674,285,722,962,009,880,715,910,902,
709,816,647,014,355,363,507,954,046,128,564,285,198,385,174,940,381,269,897,
269,626,652,963,897,161,173,849,358,326,837,401,029,453,847,977,601,721,366,
206,299,042,900,922,442,037,229,192,048,238,203,506,345,096,461,477,953,821,
537,201,640,704,812,453,660,352,654,243,791,149,357,800,631,220,589,093,224,
585,729,035,124,127,269,606,483,537,435,913,378,204,874,804,183,519,976,357,
538,804,213,898,395,741,477,513,532,102,535,544,399,636,059,868,522,191,799,
377,405,285,444,938,751,839,701,738,734,011,299,108,388,788,333,386,942,786,
511,324,343,857,469,037,900,128,834,354,193,743,940,054,203,286,447,628,256,
428,890,905,758,372,701,611,896,405,138,514,454,294,651,270,706,258,494,848,
732,313,660,305,582,282,046,442,047,098,168,247,619,898,619,399,164,011,574,
312,877,124,290,501,242,898,311,798,267,315,192,271,302,237,561,627,352,647,
784,902,303,292,773,068,024,015,701,736,459,617,155,424,421,051,059,726,356,
995,127,562,137,229,388,047,124,235,740,172,989,944,905,795,685,013,229,481,
939,310,159,751,704,112,189,252,725,240,625,625,165,006,350,140,390,640,803,
628,360,679,502,878,199,200,634,121,731,969,618,752,744,809,254,216,140,408,
678,983,989,486,616,792,504,314,305,241,332,544,687,037,230,921,682,321,530,
104,171,137,894,199,189,142,336,366,979,165,354,300,449,332,459,471,259,509,
473,042,477,101,208,964,605,222,222,799,714,061,102,897,404,268,660,822,193,
067,756,829,370,121,518,332,157,850,026,595,892,303,050,879,101,708,590,590,
634,305,594,232,874,047,834,028,890,106,415,914,390,660,041,898,565,219,193,
987,359,569,367,154,103,241,347,560,276,819,788,244,643,835,174,863,429,392,
554,268,405,470,253,853,112,490,395,120,251,857,135,772,559,063,001,929,901,
897,435,960,676,412,325,309,423,053,812,870,592,760,046,255,902,885,608,301,
004,676,007,411,923,423,921,328,343,574,069,151,805,632,744,154,426,594,663,
492,231,376,002,269,812,001,617,433,153,657,514,352,478,924,989,969,516,663,
765,267,671,141,250,196,835,392,386,392,218,598,292,371,896,063,291,269,143,
929,988,129,680,764,734,843,593,172,918,042,014,900,532,273,433,631,251,163,
034,014,556,568,852,226,718,055,409,668,670,801,720,127,614,609,491,163,972,
610,562,811,723,976,711,809,593,757,074,781,753,535,013,209,322,776,260,898,
092,882,106,578,667,534,119,904,752,439,165,930,807,698,459,853,581,510,971,
959,427,355,586,343,922,618,195,546,710,622,414,512,924,805,570,494,604,951,
767,403,237,390,016,343,792,983,648,166,027,060,794,565,040,214,370,372,976,
089,912,390,676,100,445,548,863,813,243,578,863,274,566,707,102,776,990,927,
384,077,050,659,906,694,814,901,984,675,994,147,139,626,848,376,407,863,016,
095,378,992,102,689,328,800,352,138,858,712,247,735,124,870,828,284,826,203,
637,481,195,851,755,604,325,049,542,551,858,029,012,544,457,771,752,415,747,
419,380,935,427,168,670,514,778,106,040,790,683,072,085,303,987,102,468,076,
766,381,465,204,962,456,862,413,703,874,045,424,125,892,440,187,891,690,728,
299,310,635,043,847,225,293,857,565,534,166,107,213,288,027,307,142,645,908,
890,377,704,112,141,698,638,113,702,909,281,208,757,295,471,951,576,595,820,
636,602,704,025,077,843,688,165,863,304,809,822,725,900,715,974,019,099,696,
753,469,925,348,887,264,469,306,813,058,310,010,176,139,883,176,736,306,647,
076,240,686,043,132,661,553,716,178,004,158,992,360,185,305,719,669,407,301,
485,310,751,845,735,341,560,669,341,317,533,948,744,808,366,930,367,023,672,
688,467,279,521,460,935,570,598,301,848,154,259,205,785,684,057,751,391,938,
362,885,603,637,618,364,695,327,652,980,166,578,102,679,813,015,742,431,244,
686,711,051,519,570,466,803,453,008,878,010,893,494,720,816,992,234,526,404,
189,631,637,265,358,617,993,024,434,291,960,631,112,367,370,692,716,051,330,
264,104,886,443,509,728,089,131,116,392,141,542,519,925,866,152,443,799,069,
636,756,222,010,666,376,575,053,331,650,179,334,441,636,070,769,072,427,754,
821,253,179,071,637,263,293,600,053,145,301,298,094,077,266,521,437,876,418,
047,765,773,003,049,521,334,113,008,778,447,321,285,727,931,932,637,113,178,
985,142,914,234,099,598,895,194,737,215,142,004,094,641,757,308,949,322,415,
517,154,970,454,491,368,180,558,440,615,185,182,065,054,299,030,813,078,905,
138,836,939,357,510,172,491,793,176,816,905,277,545,089,230,019,970,566,631,
121,504,246,733,275,670,598,550,176,395,224,031,655,909,816,601,434,638,676,
404,870,063,747,780,218,520,896,559,118,818,756,941,532,234,495,967,737,266,
060,828,330,873,385,458,837,400,209,352,995,890,581,249,325,142,148,318,406,
035,467,730,880,559,917,346,429,764,907,995,067,406,139,704,438,098,473,011,
877,868,122,434,198,422,500,789,469,530,720,989,269,732,089,744,781,090,224,
101,382,047,984,930,464,084,257,672,310,351,357,588,645,923,603,245,163,291,
603,777,742,006,524,314,829,046,029,545,302,894,360,692,312,665,745,817,196,
561,048,705,102,815,403,111,906,031,679,156,196,443,611,572,048,307,343,351,
534,367,873,226,160,591,227,380,460,995,082,016,691,765,773,073,427,365,219,
708,175,697,544,409,868,809,310,201,827,528,009,892,886,201,612,015,858,209,
481,488,945,907,677,621,674,814,088,450,430,341,963,405,039,336,777,465,532,
253,472,276,464,316,546,262,244,400,196,723,280,147,588,527,574,571,819,895,
372,132,636,020,141,473,945,038,980,988,581,091,095,459,056,959,750,863,811,
966,495,957,607,756,301,688,363,564,705,733,757,220,511,581,191,880,928,021,
427,859,491,003,372,377,051,883,451,592,847,024,962,192,129,039,896,276,808,
226,575,346,188,263,044,425,128,768,295,468,952,431,386,788,645,003,738,234,
128,911,373,691,236,462,013,068,792,821,914,836,410,639,843,722,644,759,423,
590,324,739,121,531,641,845,290,327,920,070,071,237,445,179,257,732,896,352,
713,492,685,617,784,242,011,179,330,643,464,483,526,226,624,192,326,349,185,
632,988,479,476,181,685,722,741,679,630,650,995,785,366,529,259,298,858,731,
353,727,001,228,975,082,895,586,147,693,796,415,162,168,397,833,230,959,121,
192,586,131,795,651,684,661,722,809,666,481,700,939,770,316,251,819,211,012,
306,112,643,871,647,291,277,693,578,394,406,791,903,125,296,593,323,379,924,
943,169,792,759,853,341,107,742,243,628,012,369,298,579,569,467,804,437,888,
542,511,334,885,479,046,385,638,994,955,182,665,235,302,694,509,702,995,274,
349,565,007,719,370,539,050,162,222,272,640,943,851,184,355,089,045,743,278,
216,498,658,336,049,175,912,112,529,398,904,017,784,367,497,669,285,309,338,
702,028,917,080,291,348,661,119,214,792,519,625,793,071,358,042,708,161,264,
771,002,548,579,748,610,401,337,054,687,990,274,140,587,416,937,591,634,716,
384,313,167,932,771,529,350,076,114,525,268,508,864,070,935,282,182,649,901,
628,724,230,256,834,396,716,627,996,727,951,504,193,936,172,727,884,584,632,
886,993,067,696,381,424,743,513,319,358,433,250,132,895,133,885,371,116,163,
203,904,200,522,122,395,078,131,868,921,869,456,621,074,554,530,555,850,450,
816,057,732,519,762,949,537,320,116,701,894,088,655,438,944,975,307,653,333,
830,318,806,330,373,351,184,151,320,212,512,507,397,295,214,806,685,349,506,
570,485,120,163,792,060,330,463,585,310,750,707,472,176,890,122,140,679,055,
162,205,918,868,516,396,376,043,703,624,746,447,540,560,103,150,467,656,522,
802,927,398,591,896,462,255,996,483,346,941,807,938,413,600,480,325,687,726,
553,296,778,391,820,014,761,981,910,359,681,816,068,035,258,922,649,145,233,
292,595,641,340,714,279,471,822,942,637,980,784,647,456,140,022,206,832,332,
670,614,411,320,279,003,916,257,811,209,687,923,570,178,915,402,663,604,809,
729,280,625,337,104,954,487,430,497,271,008,334,714,320,549,148,405,886,050,
833,675,266,485,663,452,572,339,794,226,478,841,610,375,314,971,985,351,842,
005,512,872,911,806,895,815,429,229,987,132,034,018,408,025,778,950,617,635,
518,953,432,342,471,399,363,530,203,394,615,508,730,890,106,986,333,109,729,
395,777,065,097,857,368,848,769,114,761,629,494,451,202,503,857,611,707,504,
192,654,251,440,155,913,257,824,686,751,727,540,770,602,954,029,077,933,622,
521,733,426,873,500,649,261,533,177,396,728,193,538,439,296,143,743,158,448,
379,144,410,491,515,411,623,878,655,703,381,788,788,749,266,349,679,107,661,
559,202,234,849,639,150,675,596,466,183,150,579,890,347,974,446,069,816,645,
267,947,928,526,816,113,767,811,140,481,458,829,572,816,946,764,764,580,828,
578,613,427,006,809,818,763,632,603,874,338,626,729,947,727,767,560,278,064,
270,282,043,737,422,128,667,101,708,893,368,195,867,961,527,852,581,068,355,
420,086,701,827,184,911,406,286,699,931,530,742,649,860,922,145,761,422,809,
110,359,150,327,718,847,928,221,978,255,557,517,944,639,193,542,698,089,746,
115,643,911,249,222,490,229,767,888,362,046,475,636,621,377,838,389,273,693,
590,311,250,253,066,154,956,268,601,189,276,643,407,980,151,669,509,278,258,
553,233,176,583,473,249,258,707,667,709,767,043,526,625,452,883,144,072,330,
451,433,147,155,340,575,505,067,483,760,607,096,553,565,390,488,733,314,389,
064,293,674,466,575,432,656,705,896,821,145,601,351,317,463,397,110,491,491,
158,323,278,992,531,175,807,659,606,164,177,037,116,855,865,384,558,534,702,
621,358,470,225,021,059,137,645,920,054,431,604,523,374,203,957,573,789,992,
945,541,576,185,336,989,329,166,933,279,289,351,163,800,660,986,899,166,962,
464,372,864,517,083,010,407,229,878,767,496,757,410,377,128,321,218,010,509,
767,015,482,176,255,754,762,654,570,829,064,374,401,154,790,138,851,969,784,
978,788,970,157,859,657,141,818,643,825,974,955,829,390,417,117,438,740,056,
351,016,144,418,763,349,228,728,574,873,343,784,155,917,886,404,145,746,407,
537,286,981,255,857,866,757,849,615,881,753,472,086,949,035,567,060,914,628,
670,554,595,283,886,578,800,850,150,494,007,678,442,227,957,825,173,434,088,
532,603,680,828,829,583,810,272,187,885,435,252,173,922,201,632,298,539,286,
589,728,743,869,914,135,221,402,683,381,372,229,751,784,150,481,791,743,747,
919,325,325,366,782,523,903,218,473,175,892,683,049,204,824,291,415,241,616,
609,532,442,109,067,780,659,877,567,541,384,850,923,786,711,296,718,681,832,
852,063,624,431,942,877,338,836,871,861,445,984,149,286,568,649,511,812,767,
045,973,749,842,107,645,653,964,211,736,273,384,822,356,859,169,494,594,777,
434,814,363,983,528,096,342,400,059,584,897,985,102,592,843,501,806,636,327,
426,274,375,140,149,387,907,378,317,991,658,993,223,200,770,858,468,134,147,
504,217,245,759,177,819,782,219,579,468,810,151,737,305,298,932,963,065,846,
419,507,608,191,885,216,722,495,906,078,979,730,939,226,247,565,475,168,576,
363,301,923,148,726,461,742,277,148,645,150,929,081,871,356,711,752,867,519,
219,791,361,011,170,887,051,635,497,937,238,829,637,447,088,640,413,313,095,
282,953,817,824,111,644,609,916,974,454,203,368,911,558,444,957,351,488,571,
558,559,505,347,938,490,075,031,463,675,269,942,026,643,467,426,548,633,872,
357,145,522,028,398,943,155,193,501,967,102,355,887,470,358,312,818,390,698,
263,899,088,894,689,944,613,595,781,344,386,456,179,202,212,606,464,605,579,
070,753,318,444,140,525,947,161,049,286,638,980,798,367,652,749,694,012,121,
566,198,665,758,134,921,490,932,283,866,927,333,222,912,088,731,852,304,819,
106,479,560,878,985,566,020,186,294,342,011,818,761,428,012,864,528,779,741,
339,389,242,035,739,588,941,703,834,035,701,885,974,521,989,211,457,811,272,
172,462,528,887,931,552,794,772,021,670,929,879,771,226,465,298,326,861,243,
827,037,599,811,727,881,218,705,928,366,857,192,506,301,372,709,184,806,213,
632,315,175,399,485,241,519,063,878,832,701,432,068,692,819,620,490,121,637,
327,961,513,149,320,112,376,289,869,821,907,979,396,500,496,632,307,895,080,
716,220,484,183,058,879,828,815,672,117,839,318,542,061,376,550,289,408,419,
626,264,314,814,012,124,837,021,881,388,348,732,689,503,743,197,689,160,633,
450,678,200,016,342,315,252,279,220,317,292,043,176,965,290,269,852,737,429,
395,527,885,583,689,002,559,725,300,987,710,211,899,656,310,375,484,477,946,
981,951,352,432,446,566,457,593,002,194,982,216,617,470,465,399,967,627,627,
673,443,467,741,257,229,957,101,299,884,474,463,078,093,228,581,606,866,173,
751,106,769,733,606,219,653,810,467,998,679,769,905,370,568,728,633,282,986,
398,341,563,892,646,409,959,480,494,271,561,093,833,552,338,531,955,783,765,
842,699,742,246,110,462,040,774,729,572,686,592,060,228,089,176,088,444,039,
477,540,333,321,803,408,096,769,569,565,188,752,837,946,779,844,371,977,091,
929,663,110,665,291,576,342,440,962,505,583,892,878,848,586,026,500,759,394,
851,306,383,268,156,055,764,224,296,485,571,615,223,963,716,476,102,392,662,
680,068,744,387,108,144,391,552,283,319,211,513,245,183,380,022,080,644,747,
383,051,617,179,937,934,481,561,088,114,364,400,892,475,360,273,055,007,959,
487,109,172,511,469,031,021,094,651,869,160,169,545,362,432,321,527,830,528,
865,529,575,756,021,977,508,376,308,153,240,999,684,923,664,861,377,557,640,
966,275,411,802,040,475,062,864,107,676,299,328,881,672,482,517,604,166,091,
613,550,286,688,410,686,172,150,294,496,083,545,400,131,329,103,343,398,737,
862,084,994,030,069,360,677,800,482,486,419,312,572,403,468,726,377,228,681,
129,444,253,777,759,248,660,720,991,275,260,541,928,684,003,617,617,665,869,
721,672,541,451,745,425,589,635,295,436,262,232,213,552,799,789,492,919,854,
146,515,433,775,478,895,845,457,831,960,078,898,363,891,522,483,629,073,769,
927,606,656,386,075,505,870,670,320,113,302,767,838,059,738,233,005,074,838,
446,607,734,036,486,516,990,917,438,746,268,068,545,955,680,395,662,515,632,
845,851,118,454,967,522,496,388,690,848,416,321,082,826,255,422,833,144,364,
435,076,439,756,223,944,845,680,549,515,730,504,284,017,973,473,905,751,805,
265,523,917,915,952,127,376,374,581,675,198,786,300,789,338,620,597,547,549,
580,839,882,129,716,130,700,369,368,542,701,890,305,740,922,078,023,182,113,
584,713,395,249,050,656,742,444,267,415,010,603,475,847,608,135,045,128,536,
966,819,394,494,153,551,011,378,336,898,571,474,685,496,881,463,912,116,204,
470,779,875,432,948,400,784,452,114,633,973,334,716,473,969,272,138,194,785,
254,554,200,335,362,848,469,562,376,097,939,572,334,825,266,691,484,433,107,
834,394,899,127,369,124,513,482,879,759,919,875,645,926,410,517,641,910,129,
596,862,763,167,086,284,235,980,742,981,610,682,280,662,621,388,606,681,085,
581,927,221,660,982,024,024,771,733,561,338,629,407,159,891,128,918,681,057,
913,838,358,454,223,018,239,599,032,582,423,176,943,621,977,417,891,814,562,
941,766,260,053,115,205,709,797,460,034,641,405,640,465,275,621,560,176,324,
576,879,128,468,553,486,204,943,966,285,422,436,385,937,243,519,950,929,512,
179,993,441,666,082,683,733,419,061,686,292,043,643,954,480,168,862,272,084,
836,922,875,083,049,174,301,500,732,432,736,124,211,859,006,194,848,396,796,
262,351,107,726,907,581,122,350,605,729,808,397,615,845,748,641,437,155,526,
665,976,304,006,785,963,359,170,819,321,406,713,305,254,993,419,664,295,370,
297,428,711,913,090,761,873,104,721,454,152,330,031,651,829,375,104,212,701,
426,404,451,994,196,784,903,274,433,756,126,596,946,656,201,392,214,978,385,
304,086,975,750,226,817,483,749,206,784,555,286,477,302,492,188,988,814,893,
647,315,461,267,430,991,554,730,309,591,708,322,814,379,829,594,520,413,861,
093,065,427,450,397,027,046,119,323,020,064,099,425,691,535,724,572,702,243,
893,351,646,029,363,712,169,911,496,854,208,965,249,980,271,958,884,544,235,
129,037,468,754,350,128,844,925,850,953,435,587,734,040,482,673,767,643,428,
652,001,705,669,721,859,120,878,837,999,003,684,806,107,698,354,202,594,171,
976,985,490,520,525,296,252,563,777,507,491,915,913,386,520,100,044,443,655,
683,810,558,696,929,934,005,266,872,854,974,273,369,072,096,409,767,005,184,
168,931,642,593,296,115,653,101,864,194,905,298,146,451,577,571,171,484,242,
578,236,886,497,189,128,681,700,402,100,429,945,383,754,677,013,655,863,364,
163,720,605,649,885,423,882,633,607,592,212,105,099,080,483,412,058,377,124,
457,466,387,457,737,790,685,138,374,900,238,670,567,916,138,624,429,975,393,
645,023,737,289,618,598,651,565,227,025,797,980,853,616,626,837,373,984,269,
920,098,196,515,752,970,232,467,678,881,447,399,850,754,284,826,673,797,684,
337,701,348,143,337,403,656,238,863,551,532,937,494,709,522,715,891,649,376,
157,774,664,092,874,683,983,228,534,574,998,000,534,895,476,891,643,927,569,
321,026,199,330,850,578,652,573,857,572,254,477,032,678,018,910,791,731,456,
913,544,390,556,562,805,549,643,838,837,193,866,159,824,265,208,566,048,489,
745,998,505,083,656,473,401,038,482,703,607,746,048,264,522,322,748,044,012,
219,492,333,387,142,772,683,054,384,601,175,727,607,082,850,165,175,025,827,
163,445,972,665,124,700,831,628,132,433,407,589,558,676,908,452,766,493,921,
967,423,205,526,686,834,003,255,849,879,507,075,095,844,518,831,481,688,797,
903,245,602,880,613,182,010,118,111,844,745,076,602,593,739,823,673,033,600,
104,967,517,489,376,618,636,012,017,650,974,729,279,483,905,438,221,039,608,
110,606,230,082,478,499,544,044,822,127,568,673,531,481,269,353,938,344,864,
303,003,795,237,035,121,646,293,345,002,237,217,297,414,047,269,348,397,390,
534,391,682,111,014,322,398,616,028,114,567,285,805,808,072,832,118,619,037,
399,369,950,819,348,812,982,679,078,064,068,193,808,836,131,162,509,682,898,
598,365,717,942,272,724,625,102,738,229,507,248,102,570,686,028,473,177,633,
651,040,086,222,257,600,972,281,226,283,931,443,521,415,527,895,438,759,397,
728,478,013,511,525,791,249,497,644,237,645,671,898,453,301,671,741,300,106,
766,459,813,224,920,500,716,464,475,853,068,403,090,254,548,117,964,578,221,
396,191,343,928,016,872,692,116,749,730,934,349,903,516,249,931,693,849,339,
234,423,603,101,757,285,121,928,885,594,767,425,369,329,205,454,489,380,572,
994,021,462,995,967,539,192,089,849,682,181,060,112,844,728,484,344,805,131,
401,083,441,501,815,301,322,280,323,340,656,715,587,815,317,787,804,402,252,
025,379,720,194,700,932,203,125,637,126,908,697,491,547,682,970,768,953,750,
642,880,156,579,974,884,052,489,974,932,320,343,945,575,826,288,348,846,775,
997,591,875,039,466,848,314,246,521,080,395,785,744,626,683,491,857,247,782,
435,536,129,899,929,835,943,169,867,580,000,724,062,471,784,182,548,992,456,
014,115,534,481,552,578,703,232,425,150,124,824,043,099,924,613,137,379,683,
767,049,544,999,709,083,690,910,175,380,768,326,883,206,078,919,569,778,226,
316,475,930,976,258,067,673,932,366,365,078,099,763,145,178,876,428,533,159,
521,355,315,520,314,535,979,170,138,332,624,337,246,208,720,033,611,748,222,
261,476,685,751,050,621,479,310,103,934,120,612,954,253,590,627,454,495,051,
217,198,201,574,997,627,084,145,872,866,149,843,328,656,770,996,590,199,364,
534,934,947,892,953,545,820,841,209,875,410,822,902,874,383,487,219,112,057,
219,101,602,108,317,916,400,202,786,159,868,538,121,164,880,698,126,459,015,
428,673,742,008,502,691,028,660,177,176,163,967,544,644,985,399,924,548,477,
287,387,148,709,366,439,460,209,371,392,921,008,703,542,080,746,987,676,271,
707,909,094,480,232,263,709,866,927,061,923,338,016,908,773,022,283,009,157,
914,526,063,393,446,577,472,141,324,720,453,814,290,770,382,306,052,356,935,
958,747,309,521,489,297,407,395,947,785,941,473,847,885,646,163,592,503,031,
547,008,949,797,031,748,108,923,093,253,774,574,974,469,706,332,295,305,382,
594,931,805,702,833,599,452,759,384,692,058,713,476,431,181,764,365,935,916,
192,284,892,794,620,894,453,593,203,398,738,664,568,222,849,645,874,600,889,
048,640,484,289,773,153,992,242,189,386,812,249,710,839,174,555,710,389,688,
955,004,133,328,527,787,068,294,961,010,726,437,398,058,803,202,335,528,105,
363,396,053,981,433,674,598,969,440,415,798,346,752,894,845,558,362,756,951,
127,780,971,801,346,135,821,250,631,524,886,477,930,819,370,370,100,051,241,
370,013,499,459,754,926,058,242,602,427,103,060,067,543,867,360,242,839,709,
831,083,156,833,891,027,358,616,558,537,533,376,782,817,542,723,312,157,573,
140,639,607,111,592,111,435,269,051,637,327,464,109,631,542,784,936,304,931,
738,589,294,691,605,659,269,538,046,467,607,262,552,925,273,264,490,673,980,
951,643,856,687,710,459,411,607,805,135,610,805,472,620,197,017,847,703,130,
286,972,625,602,807,776,763,916,217,574,190,293,491,033,402,362,478,231,631,
779,883,765,818,276,585,159,775,257,146,809,649,581,976,898,512,915,753,675,
005,475,922,581,256,269,033,354,799,395,925,582,275,672,176,674,325,791,103,
604,260,633,049,419,799,495,295,826,248,876,928,866,476,942,039,935,994,475,
672,873,864,445,261,587,281,418,705,720,678,563,603,517,041,753,010,673,372,
653,096,317,063,085,061,174,524,203,865,920,549,057,157,725,001,328,498,457,
921,365,471,777,428,232,838,034,466,028,146,184,373,654,390,683,668,816,489,
940,390,929,984,958,591,699,919,513,728,923,015,645,732,074,254,229,596,781,
787,106,477,875,079,314,683,003,676,851,774,211,745,324,371,200,453,086,872,
652,852,470,704,100,132,116,188,695,879,150,215,905,017,697,012,785,475,783,
767,506,319,019,889,525,439,666,741,428,187,436,475,403,306,782,915,949,380,
341,199,607,569,177,696,929,929,069,194,146,252,060,313,551,738,148,938,577,
052,231,940,448,798,384,886,324,776,433,263,487,599,733,287,696,093,575,554,
460,838,978,373,232,072,337,167,923,029,422,157,042,190,437,152,508,249,243,
740,826,751,674,706,076,168,930,571,499,075,020,616,325,700,426,023,892,180,
483,299,415,229,254,072,462,340,426,893,901,183,214,155,275,768,080,335,363,
260,786,908,407,328,268,766,397,120,438,487,011,102,627,583,755,565,179,044,
887,651,004,299,354,093,023,169,316,328,771,075,604,422,022,709,456,634,177,
113,494,707,593,333,520,913,122,057,557,065,842,354,146,446,271,949,275,203,
757,625,374,724,023,793,200,984,453,918,130,985,388,502,558,708,836,668,290,
363,553,877,429,302,285,062,337,968,147,191,230,548,781,854,218,731,764,872,
521,650,225,303,668,687,655,544,343,643,963,234,068,404,453,049,766,566,918,
803,719,825,628,675,320,885,464,716,157,284,120,038,424,043,184,825,202,351,
023,966,615,472,742,125,921,554,126,607,476,923,415,610,524,769,959,612,157,
440,777,937,425,250,803,779,947,586,941,513,813,434,503,747,860,837,738,665,
086,049,875,520,504,978,850,125,823,533,526,164,890,360,314,025,062,008,647,
383,270,345,852,053,377,541,522,483,889,199,224,025,098,762,979,287,289,952,
573,093,598,190,747,320,051,879,710,363,401,737,225,700,779,160,730,598,288,
060,028,026,830,028,307,975,424,551,968,258,840,981,112,584,383,618,738,645,
173,198,329,490,445,093,265,170,298,359,034,128,346,929,598,980,381,301,158,
990,081,678,667,833,542,760,531,180,428,254,801,842,522,544,030,004,732,693,
542,998,235,554,319,711,826,560,026,005,653,608,570,710,592,876,845,659,654,
871,905,287,119,587,102,256,051,741,074,823,651,619,730,638,635,652,857,458,
073,287,721,012,557,551,526,221,711,680,019,375,998,220,907,781,029,028,632,
153,894,438,815,150,692,757,808,974,331,959,836,738,603,141,637,715,017,358,
532,183,140,492,420,723,515,485,160,511,420,760,203,277,081,472,557,831,923,
510,459,725,500,866,720,507,815,849,154,344,359,607,752,873,416,407,906,657,
255,574,970,478,537,155,329,918,684,194,375,317,703,686,589,405,103,313,602,
525,258,546,253,424,890,126,894,442,366,610,219,610,709,895,474,205,251,626,
319,923,331,889,049,512,550,400,973,038,797,062,361,763,988,780,806,714,960,
248,926,444,161,635,884,614,089,417,509,903,886,162,056,105,994,885,879,179,
573,308,893,357,934,398,885,136,855,272,090,050,010,646,772,025,294,019,305,
892,704,525,403,246,844,563,249,378,364,369,334,719,866,358,976,173,377,204,
650,894,840,550,810,711,338,715,723,889,855,888,603,145,130,064,131,312,550,
626,063,767,255,162,185,960,648,521,558,560,606,510,534,617,208,981,285,804,
721,460,303,285,077,369,225,599,098,394,659,694,135,509,328,509,795,701,971,
518,877,128,584,666,169,107,470,190,236,640,500,663,641,590,980,682,033,227,
467,489,446,624,065,143,526,634,917,810,040,199,782,657,830,398,504,840,709,
985,899,982,018,404,643,563,277,683,022,137,979,688,319,165,905,504,953,865,
363,461,615,015,140,982,317,939,143,319,149,601,705,652,508,809,476,622,120,
926,485,058,458,785,315,576,384,920,087,978,883,531,544,524,499,328,635,564,
560,602,827,621,477,106,728,244,439,400,639,634,078,939,491,273,978,161,805,
701,184,696,251,713,596,203,305,744,354,908,023,858,103,397,820,119,227,331,
645,339,814,787,574,672,686,506,469,522,789,668,082,236,320,256,208,483,877,
538,336,827,109,699,985,721,567,102,369,844,706,907,175,878,830,022,028,912,
755,529,047,814,285,039,954,608,116,756,351,879,855,070,082,572,800,753,906,
155,909,473,533,211,778,067,659,146,792,819,247,729,071,496,558,034,998,533,
400,495,374,395,710,680,459,530,557,001,316,540,381,828,952,438,532,697,566,
213,276,184,563,125,148,638,837,379,550,632,188,356,956,272,909,824,788,707,
257,070,109,552,274,529,758,602,301,120,920,310,248,394,641,010,268,244,553,
998,481,083,297,523,619,992,695,622,944,778,183,048,126,233,626,909,044,104,
259,116,712,557,015,898,522,958,434,975,254,291,184,032,972,752,017,186,246,
788,283,045,061,349,192,449,356,187,817,585,878,571,873,280,182,720,913,501,
870,932,336,932,223,738,967,296,643,923,130,957,738,538,472,403,521,224,363,
085,864,264,677,574,026,362,971,555,968,240,054,661,483,985,155,950,649,801,
950,393,573,167,062,089,326,918,854,579,289,614,891,433,126,903,963,115,800,
326,836,356,590,317,770,352,280,203,238,265,506,485,159,834,884,006,414,427,
880,117,889,179,789,330,199,490,856,251,306,178,823,925,978,153,494,098,212,
389,964,258,724,146,791,011,126,093,650,655,907,354,638,734,853,428,287,996,
473,332,783,390,996,538,315,776,467,878,708,382,572,002,755,160,561,158,103,
135,548,707,602,639,634,785,756,121,723,672,031,448,492,428,187,216,829,591,
633,887,838,422,101,248,375,372,706,368,150,289,490,825,973,152,736,978,600,
005,680,355,664,136,004,506,589,568,639,434,996,001,719,794,887,359,419,277,
842,099,819,895,345,186,153,118,533,725,905,718,828,780,535,241,214,899,361,
773,471,637,361,351,331,359,470,074,759,817,347,766,561,374,280,175,135,517,
921,859,723,854,482,977,853,241,668,697,664,364,935,733,759,062,508,666,170,
914,710,617,882,256,280,090,141,717,010,673,394,037,150,036,156,293,528,330,
451,365,860,066,541,765,596,673,593,194,098,613,363,955,304,181,955,483,480,
789,752,737,250,460,207,088,576,993,863,915,891,937,444,631,691,818,416,835,
771,939,672,776,455,517,222,424,495,852,360,661,365,111,282,013,275,583,780,
706,184,501,623,989,087,533,663,162,527,005,881,802,036,447,573,241,287,702,
285,248,408,320,609,510,732,895,985,057,158,331,922,964,807,737,562,972,092,
899,234,721,484,435,535,687,819,212,447,155,360,093,893,663,555,226,216,377,
333,001,330,628,586,716,427,954,934,804,320,528,780,128,612,610,143,177,705,
211,850,546,215,755,148,840,046,439,782,977,893,512,994,977,297,604,732,733,
353,476,451,005,903,242,908,959,965,917,121,216,838,504,274,079,837,497,844,
178,749,253,446,007,133,536,661,392,430,567,499,317,038,948,547,507,559,147,
218,600,755,659,736,779,851,151,531,538,692,709,158,913,596,501,061,596,560,
068,890,030,002,603,163,560,463,970,047,754,722,905,647,298,413,486,064,629,
121,189,483,974,892,388,194,099,201,966,645,833,063,198,733,923,405,884,694,
954,753,302,369,228,907,780,014,815,085,648,820,415,249,147,811,273,653,438,
035,774,329,580,562,911,371,034,725,407,215,751,936,633,765,902,180,355,992,
314,029,672,664,260,206,904,873,612,753,978,988,854,275,684,402,087,394,690,
399,372,875,341,016,010,212,907,842,181,310,859,797,340,671,659,634,057,420,
694,636,615,072,880,551,896,570,173,101,929,184,533,174,956,247,690,516,036,
748,510,376,430,418,322,520,153,720,762,317,373,856,748,000,317,814,379,508,
915,178,678,179,401,972,508,502,556,495,025,512,752,525,340,382,999,962,937,
403,611,610,899,071,984,685,648,195,682,645,703,428,722,723,275,629,955,432,
856,194,363,188,095,034,470,178,618,909,993,933,748,119,922,832,444,443,433,
113,931,972,867,551,470,233,079,363,010,429,516,934,081,499,774,496,110,383,
037,488,006,317,661,253,027,751,295,204,291,731,616,767,519,901,540,329,792,
311,156,071,638,491,295,873,306,074,923,751,883,678,053,228,527,397,386,040,
792,941,985,726,995,592,896,000,552,576,554,532,760,195,782,924,619,220,228,
805,582,024,911,044,647,652,294,016,270,315,014,011,125,042,729,645,877,466,
428,767,287,397,493,096,314,927,302,670,216,731,466,149,843,387,749,550,810,
614,790,239,964,653,432,480,816,116,514,249,395,396,871,757,629,026,546,059,
152,720,010,094,698,541,372,076,889,389,334,954,152,273,495,563,382,629,206,
441,249,343,196,252,214,918,876,131,484,528,897,347,729,661,410,473,245,005,
675,049,329,416,635,309,240,455,747,763,976,081,754,988,553,359,683,024,129,
762,360,596,549,975,571,222,756,322,365,310,181,602,471,600,882,267,054,636,
599,293,365,641,633,035,015,696,501,290,193,940,674,880,171,157,408,447,279,
355,172,718,987,653,253,839,315,496,352,113,761,478,783,515,048,825,933,923,
754,939,932,761,599,845,440,683,750,635,380,900,997,891,787,325,715,263,983,
803,720,502,621,716,547,408,016,983,925,157,698,736,893,059,613,265,552,997,
806,860,221,597,404,386,910,055,996,375,547,121,111,158,323,739,776,601,043,
800,424,786,134,704,812,751,150,090,105,729,009,601,620,138,239,409,340,808,
974,634,129,406,561,343,152,213,725,356,529,934,699,876,945,341,535,267,191,
807,195,280,581,262,461,179,164,637,078,748,538,322,075,049,638,407,238,276,
238,932,119,376,877,105,620,257,296,704,018,993,882,907,017,237,805,907,806,
989,423,765,784,398,757,258,216,490,797,168,914,277,532,118,048,947,797,207,
402,912,067,973,691,571,771,888,045,062,204,880,927,220,421,919,748,498,424,
756,930,645,950,998,326,116,874,489,819,551,542,097,108,838,533,225,191,686,
140,840,540,484,884,438,746,856,073,092,452,393,568,355,692,901,968,317,325,
198,695,718,518,653,700,639,604,648,009,615,059,073,405,353,057,932,845,151,
017,782,545,280,131,420,576,742,086,295,061,246,725,960,185,636,583,260,497,
251,180,270,576,161,524,382,604,430,631,260,062,447,387,829,801,639,219,139,
958,732,349,811,576,002,002,189,435,632,056,201,547,764,970,326,515,321,644,
591,965,047,565,029,435,881,338,017,886,549,911,856,400,430,840,726,041,387,
394,066,560,884,748,685,162,037,491,191,110,635,252,313,127,379,342,414,153,
731,813,963,293,467,542,436,240,152,421,656,187,421,502,679,569,139,611,184,
795,676,226,426,357,863,498,567,522,246,691,735,317,088,769,728,907,954,838,
195,492,041,086,540,316,603,634,348,040,927,581,832,937,304,227,680,602,771,
281,491,145,531,101,279,677,874,918,468,838,550,331,474,380,286,879,320,533,
794,931,124,851,696,182,476,415,573,230,676,756,339,108,251,026,032,321,808,
696,078,230,463,825,119,751,309,577,565,451,582,429,744,217,710,474,561,236,
036,767,445,571,475,403,775,972,458,975,329,037,748,221,737,077,685,954,082,
203,588,185,306,480,995,154,868,004,201,703,833,065,192,047,166,553,440,715,
828,588,235,883,657,934,505,539,594,400,993,884,361,720,388,992,149,708,242,
276,231,467,090,164,538,514,833,044,425,123,088,660,132,031,431,452,650,192,
489,983,400,556,275,563,381,869,364,787,677,229,049,347,651,700,248,721,953,
251,154,968,173,113,602,128,062,977,657,682,883,448,696,714,653,307,579,147,
496,980,682,900,764,769,220,362,092,815,407,164,748,710,986,272,519,109,954,
629,742,851,065,664,554,615,974,674,793,277,535,389,803,560,191,315,678,071,
154,652,562,194,772,255,661,135,431,212,745,684,847,703,118,018,012,557,964,
253,596,540,919,477,349,435,130,666,885,404,825,377,829,416,426,101,747,104,
795,254,872,719,427,049,532,904,479,904,518,087,957,644,843,733,723,588,442,
499,774,442,705,294,956,685,427,821,627,047,706,527,778,326,859,575,884,274,
874,233,550,506,133,414,733,550,624,878,176,197,834,423,256,011,022,320,876,
193,163,545,307,968,023,812,333,927,883,876,521,268,294,562,296,534,192,496,
990,328,772,021,194,082,573,293,910,468,017,043,293,814,376,745,829,137,217,
342,522,638,137,581,511,096,974,125,018,195,756,190,698,998,376,495,635,469,
531,860,497,518,166,779,441,959,740,746,668,383,436,178,272,999,865,166,977,
330,100,128,385,939,015,687,709,020,463,311,704,011,334,375,457,980,784,944,
677,913,034,253,754,680,751,302,592,858,059,768,914,835,957,379,187,327,881,
921,182,602,715,950,372,965,404,675,235,360,808,283,028,360,421,853,358,138,
349,861,822,325,256,549,667,817,974,827,700,445,544,536,742,468,346,831,893,
447,981,013,284,656,197,274,516,157,468,686,652,175,129,757,674,159,752,648,
558,083,623,156,455,084,124,573,370,575,440,337,849,336,710,400,925,571,804,
709,737,914,488,892,336,593,946,585,497,566,285,322,869,872,030,417,592,005,
948,223,096,709,939,032,462,348,658,939,662,138,363,747,587,035,998,246,853,
962,630,473,932,084,753,753,494,028,823,195,111,173,453,679,209,115,838,720,
223,770,442,661,659,276,423,279,347,154,958,772,685,539,517,447,477,048,245,
109,322,765,305,221,697,414,113,521,171,123,026,474,314,365,544,915,475,656,
866,320,032,157,111,984,137,015,487,526,170,714,753,401,389,392,574,377,355,
507,664,135,407,226,989,142,903,762,718,301,524,180,724,948,418,977,127,153,
290,942,201,089,649,840,694,452,286,904,459,919,944,531,224,690,345,871,234,
596,657,044,199,687,183,820,601,291,877,877,602,547,930,952,791,374,676,180,
835,608,761,016,540,111,859,918,173,843,187,940,716,374,568,995,351,457,217,
788,520,074,229,855,895,319,325,301,476,083,664,217,966,040,498,964,572,713,
104,361,478,164,142,205,526,090,961,526,511,010,234,760,416,452,128,323,516,
164,621,441,241,159,614,174,625,333,948,149,709,090,627,139,159,853,731,818,
585,355,433,727,612,368,681,649,691,419,819,782,871,824,769,666,541,569,776,
764,090,782,034,828,366,559,283,403,954,117,060,643,221,675,096,868,658,903,
393,704,583,833,205,332,241,798,304,157,106,806,963,117,172,723,446,355,810,
390,058,470,770,098,750,131,014,242,590,821,205,776,448,152,548,750,210,803,
431,528,316,145,271,709,188,162,565,252,825,189,865,497,406,300,726,294,202,
861,977,136,456,836,693,703,608,946,992,817,009,730,271,447,662,362,917,555,
984,180,087,042,934,446,258,699,673,787,590,664,546,175,829,733,806,158,977,
001,923,634,861,274,209,740,356,423,588,635,708,972,142,200,522,567,906,336,
003,363,775,333,159,185,741,189,251,272,154,833,947,146,383,267,994,289,120,
283,751,638,815,794,548,431,765,025,522,200,269,764,763,418,470,589,570,465,
849,968,212,413,491,781,067,973,773,452,884,432,621,715,178,800,147,703,749,
195,861,977,712,407,517,720,790,493,221,212,661,473,415,767,124,641,866,165,
312,695,296,060,968,751,196,067,298,288,183,994,771,013,348,142,605,091,423,
749,474,560,558,937,716,348,269,401,858,036,011,610,530,764,795,479,754,735,
359,633,482,083,229,212,240,077,570,697,842,720,623,490,674,808,647,313,852,
995,760,158,785,259,732,356,930,125,297,960,631,344,482,964,041,920,999,531,
268,772,330,434,048,955,936,690,171,504,751,296,332,636,273,393,422,677,144,
840,463,899,676,890,108,733,541,631,194,483,901,491,164,706,654,927,458,469,
939,535,475,482,870,276,271,756,785,960,690,832,332,510,916,340,363,424,483,
585,208,062,163,652,876,282,809,203,841,378,218,570,995,961,485,152,194,410,
377,126,218,196,677,337,106,195,198,175,654,612,419,526,785,226,072,098,156,
092,936,892,575,102,130,985,205,480,087,235,665,515,068,114,244,305,658,040,
973,096,553,929,014,646,526,950,234,736,349,058,826,702,268,519,204,910,778,
083,072,566,513,959,928,840,192,320,639,749,819,369,258,149,403,487,903,287,
746,185,377,247,289,255,825,553,117,610,894,209,593,613,921,022,163,530,394,
419,089,424,737,077,149,252,665,724,853,703,396,497,529,762,504,890,678,068,
963,889,280,878,419,681,930,591,627,681,913,922,493,359,643,099,455,126,794,
883,256,558,182,418,806,272,890,650,026,719,600,571,441,381,725,090,342,535,
793,445,675,757,807,593,574,417,450,173,077,549,456,158,983,358,383,846,532,
714,460,997,733,437,642,399,031,033,680,458,297,309,850,880,836,646,675,464,
574,573,923,764,730,912,535,608,802,571,394,241,585,189,521,806,504,433,511,
198,998,489,806,338,239,733,765,646,395,569,067,453,506,016,848,317,724,706,
642,034,609,941,978,873,532,465,472,649,058,512,326,077,277,972,041,538,194,
565,169,883,218,466,883,576,874,737,841,640,171,121,733,045,632,233,844,824,
932,683,639,441,043,244,044,419,970,784,557,407,222,018,003,642,269,107,010,
729,045,818,154,614,069,971,559,486,314,636,712,213,499,150,764,103,788,826,
740,634,078,632,775,047,435,334,868,247,023,293,492,908,324,405,145,442,443,
306,157,828,519,796,715,333,611,108,039,127,642,750,261,067,462,874,850,964,
400,642,068,624,770,426,016,634,303,511,355,589,922,752,529,316,078,567,404,
766,686,259,007,809,025,005,152,999,936,951,621,878,851,064,416,975,397,919,
328,840,426,130,748,339,957,157,819,399,022,061,466,111,182,156,606,607,177,
511,755,683,984,173,038,079,978,466,400,731,186,963,472,126,762,323,628,716,
761,049,741,521,572,383,487,579,029,976,665,806,108,340,698,663,379,816,607,
137,813,913,248,763,466,437,986,472,959,214,830,390,521,032,911,810,184,318,
982,830,259,139,644,878,358,720,594,200,131,786,689,021,217,049,050,172,828,
599,834,526,716,469,332,151,552,675,654,224,134,800,661,336,674,174,149,994,
992,370,380,860,508,545,837,217,596,202,278,332,681,990,434,195,478,129,728,
363,428,101,877,184,233,550,481,747,868,715,580,734,977,405,179,754,449,264,
318,054,419,034,241,302,649,085,195,741,262,798,155,756,366,299,031,930,997,
370,375,121,535,622,634,375,981,381,044,584,826,205,376,331,232,445,085,747,
038,823,902,622,925,738,426,294,562,498,033,580,224,873,358,655,996,627,522,
357,791,127,682,547,972,409,271,757,499,320,890,794,350,860,773,007,692,532,
417,921,839,911,404,514,485,355,055,119,092,318,947,219,703,284,357,310,638,
799,958,591,181,848,377,022,575,156,676,229,218,865,530,676,054,229,103,304,
393,122,173,005,763,263,549,713,877,119,947,233,529,260,280,277,344,799,677,
934,455,031,405,438,641,343,723,675,243,052,683,268,967,443,567,243,900,877,
791,560,510,746,741,809,115,713,109,691,516,270,665,696,435,981,160,131,644,
491,784,783,528,529,498,328,571,022,806,364,082,840,125,416,830,798,832,890,
267,947,369,918,800,462,349,389,119,800,792,014,984,392,148,133,089,366,942,
533,506,426,294,741,413,842,997,342,470,318,923,004,609,341,055,971,561,881,
612,391,125,012,756,321,159,552,705,026,925,180,247,560,031,905,975,399,047,
478,356,826,740,522,925,180,408,950,296,445,514,485,458,756,508,123,185,476,
859,025,793,276,805,119,501,628,241,874,744,429,850,455,519,832,032,597,772,
005,646,529,250,848,132,974,708,807,784,558,707,188,921,043,562,176,025,457,
817,152,440,329,785,233,378,916,867,047,281,348,362,757,148,904,957,651,760,
427,895,885,122,702,260,527,602,149,646,035,715,676,286,883,206,415,037,388,
450,465,720,519,964,034,890,402,572,908,157,411,247,832,720,508,971,018,093,
839,234,217,656,778,938,288,897,197,491,994,954,061,335,805,466,609,643,115,
073,965,636,475,669,093,271,091,956,343,666,874,022,017,427,523,198,905,206,
169,768,320,987,057,638,386,218,714,388,668,332,227,993,863,285,864,927,770,
034,750,773,236,404,076,205,557,952,577,586,237,132,569,719,764,978,026,429,
042,345,212,933,421,903,843,625,873,122,518,436,060,443,916,960,293,745,515,
594,074,113,155,230,394,442,233,580,040,045,211,624,710,543,813,620,250,075,
539,379,869,031,644,787,223,207,488,658,411,657,271,390,418,158,483,846,429,
735,377,152,137,284,628,849,688,130,747,142,263,337,053,212,697,392,841,995,
667,631,506,744,752,110,266,265,845,962,955,661,112,781,227,013,843,025,244,
216,124,733,642,639,732,735,978,673,844,210,815,858,950,514,195,019,391,255,
029,029,884,307,900,269,817,258,602,471,898,554,906,042,618,062,868,381,645,
723,130,300,232,094,775,134,858,173,095,713,205,610,020,603,036,754,994,840,
463,029,714,856,262,590,532,399,440,346,429,407,772,589,608,305,041,971,337,
856,448,451,031,504,163,533,909,282,753,664,983,821,922,081,523,298,668,326,
503,495,855,003,266,460,176,849,328,851,225,196,246,291,937,748,336,931,389,
601,513,840,919,370,526,876,837,063,761,710,209,099,941,725,934,913,587,366,
866,021,686,201,373,750,766,676,101,599,687,371,379,403,800,199,118,431,667,
459,509,056,898,836,079,791,838,406,771,943,900,743,243,004,679,766,678,891,
826,959,222,851,285,471,861,540,515,953,322,170,365,486,829,563,593,811,994,
432,917,354,202,505,590,378,316,237,187,174,073,574,112,005,534,891,273,258,
946,552,613,317,440,755,968,012,385,549,590,817,110,773,776,664,527,199,255,
214,514,964,470,713,650,306,212,412,156,101,956,222,505,722,511,874,686,388,
058,117,590,541,029,837,628,347,664,845,473,953,631,062,655,796,353,210,331,
754,348,988,388,795,810,073,050,646,439,767,726,615,838,861,496,616,927,695,
909,843,564,353,518,216,962,276,086,706,308,514,766,477,591,796,722,653,361,
926,689,828,243,993,182,612,483,357,154,825,505,630,763,569,185,501,121,448,
985,510,600,060,345,402,792,321,778,495,220,096,623,858,917,246,068,904,466,
850,215,287,256,848,962,123,999,558,825,973,456,118,589,925,892,478,949,304,
080,506,980,940,380,703,665,566,045,010,951,330,425,909,870,971,872,769,093,
756,652,160,538,144,957,836,962,839,102,363,913,120,198,701,732,278,024,095,
169,364,160,215,217,451,883,607,254,096,433,830,532,900,156,992,588,812,717,
971,580,275,439,696,327,880,862,843,376,008,923,220,497,947,850,423,895,068,
373,112,381,021,257,508,126,839,141,121,400,578,922,520,862,207,283,299,615,
642,779,146,117,557,097,914,630,620,876,866,701,370,464,727,903,788,681,329,
248,779,012,819,502,239,556,462,417,644,820,686,805,383,139,341,814,302,916,
852,675,724,414,620,175,420,913,012,569,752,641,645,189,349,833,171,292,691,
148,790,665,033,735,768,376,907,190,834,751,094,890,458,410,727,354,587,069,
382,695,021,002,323,970,500,122,085,305,858,447,196,555,406,718,745,536,111,
240,650,434,953,099,803,352,848,234,968,525,960,017,877,637,766,529,435,992,
223,410,085,122,765,568,612,925,586,987,461,537,497,738,277,442,785,645,883,
306,194,738,191,386,785,349,300,786,885,341,732,643,482,998,225,868,301,129,
088,203,987,044,114,861,460,391,923,646,512,261,864,985,227,676,711,469,821,
338,369,074,152,704,032,048,637,866,725,652,696,354,533,795,068,806,844,048,
542,134,005,524,453,031,981,779,074,938,201,209,892,139,036,336,943,757,690,
269,418,874,181,706,564,226,345,196,921,139,807,924,714,755,049,696,931,245,
063,919,663,081,390,884,308,466,142,293,529,424,582,012,463,222,300,047,829,
800,416,468,760,759,332,534,385,635,327,905,526,658,174,533,203,195,085,906,
089,825,391,579,293,432,014,361,858,603,636,273,829,892,452,234,344,843,945,
532,441,670,830,239,753,818,796,685,533,513,332,914,312,881,243,751,923,593,
883,903,981,321,245,001,636,153,921,040,427,020,250,489,286,206,655,713,855,
048,408,319,693,513,539,058,967,055,807,714,303,275,545,598,683,754,578,688,
787,742,655,354,827,783,234,053,247,957,687,330,435,840,324,910,972,865,997,
755,915,835,200,837,989,825,110,398,302,800,085,427,611,952,143,740,080,416,
669,761,735,147,654,479,269,992,667,281,592,387,113,106,602,654,615,538,847,
837,069,251,209,135,637,769,602,503,447,953,315,816,745,829,500,255,352,001,
802,340,318,641,816,083,628,737,964,000,334,218,475,128,539,657,049,158,675,
382,905,753,105,948,460,513,723,131,301,272,211,159,628,738,119,784,670,715,
243,620,175,905,633,360,243,169,607,194,623,100,536,302,857,972,408,203,887,
497,624,919,273,320,424,707,126,460,601,811,522,928,340,586,006,849,406,921,
259,696,480,466,216,733,975,941,445,674,812,308,448,823,041,232,518,386,222,
115,115,151,738,738,174,869,337,255,900,779,071,977,605,933,623,429,349,695,
098,126,555,094,686,046,858,667,197,153,317,701,555,146,301,684,121,212,918,
324,862,687,424,365,623,365,688,902,314,264,494,822,473,578,863,722,372,300,
301,299,557,732,714,053,228,481,797,009,665,501,791,457,955,542,120,430,668,
239,879,092,705,556,309,617,315,651,442,402,017,769,019,281,678,628,272,129,
881,484,020,873,976,081,751,911,184,618,801,591,563,051,550,159,069,982,486,
704,926,861,103,785,653,567,230,168,189,301,754,607,051,335,321,187,823,275,
704,011,162,553,448,194,151,071,327,477,450,459,163,847,877,929,541,278,823,
861,150,253,731,707,964,944,637,411,869,135,205,195,271,908,269,973,705,116,
724,284,716,843,265,229,974,739,193,263,643,109,449,471,823,633,445,662,819,
742,303,032,457,858,434,562,997,844,910,827,044,359,335,753,904,536,053,751,
617,273,497,620,430,698,371,026,085,697,045,271,039,575,013,764,060,433,358,
148,854,041,742,552,353,899,982,110,890,478,763,272,951,596,289,822,479,710,
247,128,845,479,056,436,896,227,948,029,676,465,547,067,491,119,704,026,932,
712,947,209,239,220,982,280,923,570,320,383,518,325,458,538,449,067,562,835,
519,098,553,669,634,727,334,571,309,083,304,869,578,556,957,281,661,482,688,
776,876,994,125,463,455,253,914,886,955,271,068,330,059,619,605,786,001,418,
078,303,725,282,446,456,184,582,035,989,834,490,626,575,066,226,750,957,320,
373,355,741,153,391,539,415,931,122,858,453,565,330,427,615,463,871,476,079,
069,969,138,089,269,641,033,941,551,322,544,775,593,826,358,280,568,963,083,
199,529,810,711,771,906,961,361,931,197,436,176,740,131,899,002,181,734,786,
173,857,332,452,931,270,991,769,216,191,997,494,509,106,818,006,095,030,854,
656,237,920,434,705,164,679,131,268,668,395,018,957,407,054,163,215,410,996,
130,464,392,503,401,561,077,496,091,125,642,690,872,954,092,186,714,157,096,
459,358,265,142,271,859,148,144,049,900,796,640,025,263,832,538,758,285,821,
776,369,804,360,420,126,583,059,720,077,475,899,660,647,222,992,781,030,543,
855,452,446,931,912,370,127,380,351,148,758,968,479,121,566,267,637,013,925,
483,634,893,556,897,530,957,791,820,483,631,090,935,624,432,530,724,566,205,
689,370,876,056,748,695,914,254,408,740,670,699,628,151,317,292,000,604,585,
449,557,163,663,928,303,135,638,043,829,928,591,911,165,575,175,619,853,035,
454,588,246,368,091,982,564,270,254,049,370,827,363,268,620,064,801,412,866,
809,211,930,022,049,991,741,834,364,072,750,173,793,990,957,177,117,605,170,
190,777,855,768,064,456,644,187,346,880,225,690,027,150,103,045,332,704,554,
270,608,576,664,726,220,381,452,011,979,219,360,435,786,869,858,272,813,038,
009,089,200,605,810,046,835,949,434,330,366,811,487,558,006,893,564,668,171,
769,671,474,712,513,956,880,433,457,810,013,522,884,635,811,083,818,352,009,
608,710,803,224,507,166,791,761,075,628,099,834,891,439,871,914,271,684,138,
812,225,243,316,498,819,527,768,596,010,540,073,819,822,462,362,563,098,993,
338,761,630,263,221,384,299,019,344,185,195,714,529,199,132,840,616,517,714,
288,376,389,017,053,130,866,573,165,350,087,329,550,872,235,869,777,657,870,
822,666,692,134,626,704,968,014,419,162,543,023,326,185,675,585,288,714,953,
130,861,366,757,665,625,425,834,671,210,492,955,334,622,560,106,429,974,478,
792,703,746,042,191,318,970,408,981,410,964,658,538,724,153,318,333,238,069,
005,047,283,135,182,096,842,920,359,354,920,253,753,240,415,346,575,406,423,
789,301,013,221,610,359,048,941,494,120,332,672,709,364,340,743,135,971,540,
541,020,111,872,772,500,977,703,005,300,871,214,112,601,474,998,287,166,915,
934,238,807,503,056,170,238,197,646,299,676,102,520,534,577,448,765,802,465,
734,902,183,294,749,226,588,586,217,262,211,041,033,980,206,784,568,541,270,
831,982,352,388,384,980,860,823,498,689,551,113,333,136,111,740,986,474,635,
555,528,027,155,607,451,778,197,777,593,807,711,178,382,888,486,922,719,001,
700,435,085,953,491,369,948,992,145,417,990,809,375,900,130,335,553,836,129,
571,472,608,096,905,691,856,646,197,891,768,567,604,388,154,786,556,464,201,
881,055,121,959,331,404,068,304,484,756,707,314,715,881,511,988,422,080,928,
843,407,442,202,580,654,912,122,227,292,805,263,639,361,640,311,650,790,883,
417,110,944,564,456,002,330,691,767,638,701,639,448,122,008,105,579,735,793,
418,045,220,992,334,600,648,255,215,005,659,402,812,416,921,756,409,112,697,
657,139,214,585,323,712,977,003,914,249,792,188,346,926,457,021,290,746,157,
209,010,284,788,413,703,568,257,259,621,758,215,001,361,907,185,908,768,712,
073,571,405,821,440,745,794,924,067,504,991,767,798,616,791,786,602,586,538,
538,447,025,214,345,379,925,300,846,779,287,761,918,543,372,856,099,023,561,
904,508,845,498,985,588,379,539,107,449,349,274,517,350,716,413,137,424,262,
017,334,195,043,331,181,500,416,083,446,475,324,112,219,615,982,457,729,717,
420,157,271,488,214,490,585,573,559,687,505,108,998,324,344,671,707,224,632,
811,720,365,347,730,300,738,639,100,849,590,176,707,621,711,806,701,055,562,
213,368,347,041,019,507,014,813,632,033,605,342,584,977,047,980,119,481,938,
086,520,930,866,415,301,799,415,265,976,338,196,873,665,349,090,286,515,613,
405,336,262,261,893,190,338,239,558,632,432,218,257,772,464,023,984,091,773,
572,046,606,345,357,480,558,861,317,366,357,060,653,829,966,049,176,629,616,
319,732,768,136,798,223,926,408,410,629,194,449,499,014,302,929,069,214,439,
525,749,758,150,908,440,612,064,662,676,969,857,621,936,458,220,246,666,445,
556,454,990,868,498,205,619,776,781,417,656,548,389,897,250,774,384,318,551,
077,397,947,162,092,529,436,721,935,622,419,561,495,149,643,643,548,660,489,
815,750,661,531,487,299,619,867,826,302,344,024,307,491,083,664,734,404,735,
497,886,165,216,223,616,615,441,643,190,326,001,130,565,447,080,726,844,849,
289,904,466,205,815,297,190,753,173,947,753,834,347,410,795,426,022,378,281,
364,432,062,009,309,038,724,776,866,587,952,330,363,798,107,501,255,564,734,
982,377,940,352,761,492,063,798,442,704,791,524,055,468,570,695,231,679,590,
945,355,240,406,940,463,869,104,143,392,790,475,529,190,729,247,269,848,791,
993,279,628,845,064,471,405,741,089,128,690,816,767,710,422,840,203,813,530,
499,250,449,959,384,338,140,079,789,386,803,809,318,448,495,158,226,640,569,
657,084,049,252,134,242,692,318,820,831,850,280,489,016,516,132,526,678,308,
654,875,297,583,906,758,750,519,447,057,599,222,002,746,999,974,601,480,277,
955,686,015,860,940,875,730,807,960,766,196,179,194,276,575,282,685,521,370,
892,893,333,174,881,608,579,255,082,312,272,108,015,978,260,220,543,755,944,
084,822,058,334,882,164,189,289,451,131,004,044,462,055,802,329,343,273,347,
754,795,162,096,662,797,212,935,593,008,390,800,379,270,491,708,864,311,037,
840,277,584,669,723,422,879,166,517,149,557,213,028,006,875,758,578,810,932,
813,344,328,380,412,983,448,662,088,874,523,619,310,002,211,531,524,339,323,
826,036,801,081,434,474,870,887,930,521,461,822,460,641,512,918,474,437,784,
445,795,554,895,661,157,027,678,514,253,610,166,120,571,946,017,066,490,323,
267,906,249,441,773,286,602,049,231,194,126,974,252,603,413,437,160,655,247,
868,013,485,600,196,492,616,677,577,732,580,256,059,831,310,420,709,639,275,
509,598,395,707,861,248,103,450,797,048,734,208,625,518,124,952,649,625,576,
567,366,796,469,539,732,304,406,614,371,173,595,206,897,886,556,002,819,686,
618,875,077,778,629,876,964,949,171,658,532,023,032,130,178,103,708,212,243,
765,970,608,412,631,211,945,060,704,546,350,521,369,826,178,057,355,596,775,
590,995,522,163,548,178,089,597,538,034,641,384,250,312,279,615,920,286,749,
988,269,129,837,792,765,142,523,133,284,117,013,214,510,190,906,521,569,473,
387,587,906,153,693,871,475,553,867,074,753,260,179,058,831,224,998,067,043,
243,967,431,104,856,004,272,211,399,669,753,474,985,788,939,069,438,107,003,
987,316,121,167,282,297,716,712,665,541,464,081,070,731,447,019,971,171,943,
654,086,434,550,915,091,263,126,861,671,072,620,494,337,922,049,761,077,278,
476,409,799,993,066,992,155,596,408,713,097,516,957,350,852,800,266,158,493,
449,096,588,100,789,824,287,026,143,871,239,256,258,493,768,389,879,438,994,
106,278,011,485,542,905,603,544,447,157,151,131,604,065,691,238,437,952,358,
516,783,954,894,394,148,013,773,481,779,630,321,911,294,719,538,369,683,569,
000,950,143,469,304,030,432,973,511,655,038,355,074,364,798,314,538,966,241,
815,735,857,387,488,345,350,352,879,762,017,737,621,313,240,980,718,783,596,
988,835,600,420,071,856,536,515,779,543,814,474,051,055,759,928,832,577,495,
512,108,241,610,034,531,868,719,103,093,746,314,150,092,257,553,605,696,655,
185,886,852,199,692,023,017,759,570,219,452,722,601,751,346,073,642,592,800,
397,466,765,596,811,689,021,201,621,576,912,365,444,533,062,296,744,079,768,
798,954,413,597,675,931,205,548,869,679,987,380,814,431,757,710,843,353,176,
134,784,153,288,175,456,863,198,319,399,067,186,981,993,250,373,849,436,022,
486,968,475,149,051,419,887,938,499,537,358,462,329,939,196,709,791,738,860,
882,419,713,394,640,497,588,044,211,721,523,983,813,708,711,392,623,171,568,
237,353,479,877,874,990,784,453,749,344,037,192,999,867,288,835,337,575,961,
594,399,591,759,801,823,192,380,716,353,579,135,076,044,593,427,060,158,810,
721,690,993,531,225,261,861,540,553,272,773,754,554,154,519,445,353,178,163,
541,548,784,153,470,775,367,154,219,295,218,791,178,011,885,088,001,987,906,
831,284,735,945,908,988,225,773,809,184,835,536,027,554,119,951,454,519,979,
358,183,241,128,712,907,078,187,977,995,729,398,783,702,416,651,046,898,348,
457,103,050,598,663,795,284,381,057,516,136,863,257,085,009,914,848,805,745,
011,215,698,086,790,134,374,271,144,536,269,707,648,498,202,264,678,504,900,
359,180,779,439,246,154,206,257,178,363,145,935,818,604,976,288,298,450,574,
670,366,078,791,247,231,008,305,377,488,299,990,441,460,080,167,610,917,940,
120,093,081,474,341,506,764,682,233,241,124,376,776,180,397,653,449,699,181,
803,010,747,670,724,504,073,250,782,375,286,018,949,265,693,052,567,820,924,
359,665,856,405,291,243,611,520,006,664,919,649,699,228,801,110,812,784,535,
515,362,935,356,612,886,550,972,761,299,436,919,581,093,922,192,674,168,362,
979,319,477,468,416,998,167,036,825,256,869,587,191,644,424,731,894,009,416,
955,102,804,458,340,152,076,442,164,218,569,086,357,098,250,670,374,896,637,
319,884,999,709,702,589,282,076,843,725,167,971,261,558,522,131,325,583,576,
951,913,854,378,686,553,643,902,745,451,121,462,517,752,428,414,593,763,898,
177,013,817,886,158,010,025,275,850,184,371,393,989,721,571,619,167,609,061,
864,411,979,151,783,316,669,898,886,400,721,121,865,509,697,078,145,049,528,
915,753,661,840,680,583,552,450,502,048,294,497,018,135,316,819,890,830,045,
081,327,312,038,157,316,660,979,619,209,443,964,721,202,541,096,533,761,789,
526,137,258,710,411,572,995,617,970,112,019,582,320,640,462,545,276,221,162,
111,170,334,239,303,819,551,573,703,420,833,342,525,476,275,853,364,686,399,
875,470,129,056,681,345,354,202,646,405,406,120,165,684,556,662,864,125,400,
686,203,437,969,465,172,979,266,538,763,939,804,517,507,901,654,561,777,874,
545,226,566,975,507,291,165,070,387,991,716,840,732,674,879,881,763,053,727,
742,351,273,150,596,083,538,379,749,405,601,979,367,472,613,701,242,139,968,
162,330,232,811,547,351,953,825,973,198,398,859,377,773,801,893,900,752,422,
301,713,724,220,741,781,875,278,971,044,361,544,798,133,244,300,139,350,544,
489,667,037,416,384,388,491,739,358,591,352,265,941,257,635,966,292,572,885,
261,444,548,221,069,346,608,038,072,155,526,367,511,443,223,033,372,461,571,
864,281,827,511,302,173,181,421,822,291,647,493,720,973,198,235,784,823,703,
281,413,429,068,986,217,809,158,058,583,633,878,407,204,743,053,981,105,649,
786,882,325,974,070,927,147,367,362,913,222,887,615,689,322,538,785,277,463,
329,334,203,957,252,884,613,716,679,507,854,035,201,546,863,254,674,317,064,
593,886,972,997,544,056,862,354,457,977,807,747,294,329,154,186,935,958,092,
580,976,030,066,257,732,287,063,957,224,027,772,296,841,427,797,036,884,603,
567,122,420,488,685,822,624,429,931,592,049,076,870,170,619,319,468,391,206,
444,644,574,167,368,114,027,761,443,810,919,212,836,845,915,749,137,190,528,
179,173,705,327,255,106,904,788,160,089,909,860,534,160,369,712,502,498,122,
455,173,689,539,182,434,253,512,060,569,503,296,119,428,564,659,035,375,864,
630,808,963,409,794,227,642,752,542,939,687,060,203,392,965,593,261,432,289,
432,966,276,560,979,928,812,247,237,935,431,437,326,727,576,514,406,682,604,
332,086,413,834,617,922,246,519,975,496,033,152,914,701,757,936,318,127,734,
564,522,808,461,825,325,329,017,217,230,004,291,455,265,785,402,771,267,419,
773,015,457,640,304,021,305,036,795,690,398,257,408,423,768,666,425,078,421,
505,844,195,521,907,266,334,416,009,035,428,009,757,807,111,406,650,117,689,
073,498,851,003,444,544,987,090,980,320,386,913,159,653,742,464,647,447,554,
632,265,900,704,335,556,128,014,204,414,706,888,462,932,922,651,478,433,469,
331,839,277,042,967,015,431,327,914,207,846,132,093,957,988,175,308,013,081,
676,560,107,509,284,691,782,165,594,513,100,385,615,773,630,870,750,722,864,
773,680,906,684,069,660,538,133,439,400,648,704,710,768,374,146,105,833,858,
555,041,043,693,208,604,863,142,562,293,356,651,436,729,543,795,821,230,817,
559,543,814,503,546,865,325,358,506,581,708,119,405,290,168,589,845,225,821,
494,821,024,529,052,907,067,096,057,864,936,337,088,720,553,990,576,099,059,
768,364,466,254,543,465,231,452,652,044,208,099,851,367,886,155,845,601,615,
271,567,987,526,444,273,638,851,440,671,757,644,233,713,115,159,702,105,158,
933,794,527,517,757,929,343,693,029,304,708,273,215,670,978,573,046,959,638,
410,292,248,568,583,150,816,490,254,591,630,818,647,583,087,494,131,160,520,
900,615,710,032,782,869,089,074,063,027,456,161,951,611,992,359,878,000,317,
007,058,951,057,400,968,246,582,206,670,814,541,926,850,253,846,633,607,734,
979,722,072,437,390,918,629,352,496,132,263,358,996,374,265,432,410,980,994,
559,668,505,437,990,490,014,639,872,415,593,568,931,309,867,333,301,491,287,
027,871,684,348,333,937,501,432,432,429,998,306,088,840,113,597,282,972,539,
198,425,702,375,796,886,601,658,147,687,153,461,150,358,689,151,815,401,434,
808,012,534,545,472,651,689,070,666,823,659,682,909,768,664,058,207,140,076,
083,221,479,782,215,766,057,064,556,244,943,227,691,000,740,608,179,442,653,
459,794,200,975,535,013,671,331,803,704,106,867,490,582,621,962,497,362,799,
847,064,198,768,885,853,298,582,400,105,046,883,303,167,443,883,840,932,390,
242,564,309,377,466,299,600,419,225,289,650,284,271,539,353,735,748,154,661,
404,449,590,691,580,432,741,249,129,662,111,951,468,931,043,258,265,010,222,
050,751,662,055,059,512,608,035,825,173,832,549,765,379,639,935,392,897,619,
585,859,157,474,970,616,859,267,305,436,792,962,133,033,618,452,178,628,153,
947,423,637,897,605,729,437,857,624,949,007,840,497,005,559,137,525,538,386,
083,643,466,051,898,702,578,093,119,097,307,019,913,277,287,083,314,375,784,
794,921,724,491,107,119,455,477,626,170,984,753,343,725,685,201,044,353,406,
224,755,145,517,604,441,026,217,140,957,920,154,582,153,892,295,586,351,291,
564,176,836,816,374,385,626,604,994,190,304,349,939,467,089,929,385,139,220,
253,429,227,659,427,589,639,315,154,619,527,689,271,126,539,472,012,376,035,
201,022,410,188,228,759,392,900,208,563,906,738,042,784,457,281,925,958,707,
737,818,171,808,075,124,144,447,638,609,667,031,740,792,546,265,354,694,633,
486,044,395,345,937,666,209,426,001,812,740,870,916,300,490,050,806,224,718,
042,763,230,424,069,697,777,155,468,513,570,530,324,046,355,076,438,278,197,
215,904,447,450,098,894,952,632,740,047,626,546,547,049,193,594,582,722,983,
914,728,097,437,496,607,955,289,970,186,924,170,072,657,875,899,681,269,035,
942,144,504,084,953,120,911,590,079,526,564,447,265,248,773,239,016,892,488,
122,842,963,460,131,017,210,714,647,119,360,804,218,552,986,912,515,992,287,
839,099,899,087,956,097,349,378,944,687,671,416,077,729,946,619,773,235,580,
277,706,065,236,784,473,129,049,882,007,662,409,702,427,923,969,647,298,862,
310,073,219,163,165,836,543,260,007,954,556,611,426,385,541,199,076,143,899,
474,341,226,767,044,628,353,985,944,513,304,094,234,160,397,363,772,885,996,
935,363,863,167,759,539,085,888,791,845,757,860,289,855,818,214,455,832,530,
872,596,933,231,330,025,544,419,527,329,401,225,901,204,014,635,385,333,671,
281,895,282,009,770,997,456,588,708,804,284,450,774,186,677,464,962,446,626,
431,844,735,750,389,739,994,735,113,590,872,317,145,348,092,095,310,779,896,
320,864,582,313,913,944,376,975,938,977,038,161,693,445,767,009,425,849,285,
489,874,981,723,816,182,234,091,590,785,275,122,296,763,803,260,767,372,543,
478,948,405,685,209,445,571,699,767,664,788,386,107,867,318,700,440,773,173,
739,888,491,247,785,427,182,952,949,749,414,087,234,533,483,020,538,143,815,
169,301,346,166,475,951,008,451,685,286,609,060,516,204,193,397,084,857,357,
590,952,444,119,973,922,510,766,905,483,717,629,168,396,916,301,640,756,117,
052,244,247,073,642,917,837,216,191,567,947,740,986,961,849,472,868,168,673,
182,099,729,772,268,459,979,299,385,916,015,079,822,713,949,904,656,924,831,
074,335,751,670,429,470,333,394,759,027,367,152,123,287,771,380,189,407,869,
517,524,947,929,580,042,694,918,167,126,925,695,514,115,594,963,938,503,687,
712,235,646,859,094,946,806,051,363,984,226,802,475,287,897,931,264,674,646,
611,726,561,825,046,863,630,472,816,369,907,757,795,141,662,724,626,323,249,
834,030,635,111,607,211,695,451,437,156,207,104,690,974,502,762,826,506,463,
762,425,793,263,080,456,676,088,320,599,344,550,606,520,900,380,984,778,194,
063,404,814,764,078,644,094,012,819,258,668,871,068,673,837,698,291,984,840,
459,257,535,314,427,115,090,880,324,803,282,547,028,569,375,689,413,470,051,
372,104,237,192,744,939,601,925,125,063,000,444,465,657,937,601,717,744,409,
683,052,196,757,380,434,498,879,368,223,877,735,920,274,384,680,813,082,697,
443,571,472,953,581,697,905,873,107,552,265,331,239,860,819,458,093,046,774,
308,569,514,872,037,894,650,445,460,296,003,414,750,475,270,114,076,985,648,
064,981,930,098,909,229,148,849,112,610,000,131,241,401,318,935,109,472,382,
302,303,389,411,307,032,959,429,347,360,579,732,857,629,664,981,693,569,651,
402,000,484,000,482,002,043,819,731,420,679,190,204,737,111,946,659,937,902,
249,965,378,672,453,630,677,746,335,872,867,614,868,316,613,810,734,146,258,
042,086,747,639,600,767,799,499,530,696,244,831,658,937,566,466,476,365,786,
980,277,097,302,668,611,715,229,226,077,464,347,629,013,753,229,448,259,440,
534,546,298,113,482,182,603,394,609,605,602,781,529,439,153,236,940,131,984,
829,666,077,799,668,785,587,140,518,574,068,283,089,836,605,625,155,546,134,
870,152,659,517,044,985,355,334,165,763,122,414,480,519,755,566,844,557,386,
579,526,108,740,858,215,255,894,762,034,681,078,031,749,536,819,550,499,224,
414,590,632,107,821,445,509,328,870,696,146,925,738,685,979,636,517,012,026,
199,800,238,376,743,470,286,034,799,630,062,986,444,578,684,424,375,155,860,
301,918,518,110,050,828,895,691,832,130,242,724,341,066,822,041,606,323,339,
087,874,380,489,104,786,633,089,573,567,629,223,956,487,931,182,605,319,464,
396,891,837,629,370,620,183,844,381,735,083,013,449,437,733,892,743,914,157,
123,216,241,502,054,354,025,524,073,973,846,530,087,584,552,519,668,376,842,
587,536,738,298,465,495,941,742,567,739,438,703,820,577,661,632,514,564,001,
572,776,939,207,765,312,919,510,909,693,040,339,181,586,756,231,619,455,604,
088,229,969,188,444,929,214,955,127,688,053,120,404,690,008,231,073,585,506,
633,892,326,206,070,159,727,536,214,290,690,612,285,335,515,642,700,358,385,
608,275,023,155,285,110,453,586,486,992,587,145,755,727,270,459,547,005,317,
092,691,412,927,812,886,593,521,453,790,935,169,132,375,839,676,534,332,995,
622,048,435,194,980,847,470,256,082,505,349,981,855,986,191,625,876,051,691,
180,641,207,876,800,208,850,362,012,622,281,148,720,778,969,568,825,758,272,
911,856,442,719,470,489,547,992,461,472,992,188,543,993,593,882,550,124,387,
113,524,613,612,563,373,796,350,750,559,354,466,659,664,141,427,890,619,805,
045,791,730,795,167,966,197,200,685,116,807,398,770,751,178,264,632,033,221,
560,962,357,257,076,210,905,581,559,725,988,866,852,624,278,309,865,412,989,
251,297,155,712,575,481,204,747,490,487,209,946,660,436,455,163,662,969,687,
336,422,508,327,317,655,663,007,254,516,495,022,196,136,057,705,770,209,716,
335,712,602,161,220,972,800,914,203,366,498,888,123,580,318,159,919,158,439,
156,979,664,285,281,613,852,644,846,079,108,442,475,281,482,261,668,654,692,
115,400,981,106,987,717,246,767,987,197,257,878,085,747,465,581,648,957,534,
215,743,916,491,735,259,474,248,377,624,316,803,863,503,485,264,291,607,412,
371,207,715,506,246,271,440,767,692,412,498,588,441,684,936,300,626,366,935,
475,331,550,450,460,953,364,716,087,872,268,099,715,321,168,468,752,984,085,
052,771,296,610,186,858,531,827,564,075,077,167,026,062,027,652,351,767,735,
781,748,925,819,288,033,875,310,376,667,478,886,465,544,157,603,754,818,496,
451,806,620,119,122,654,214,522,884,483,723,567,345,800,730,200,441,664,358,
037,825,511,189,189,786,866,061,081,522,476,441,898,437,802,586,182,211,300,
726,737,629,428,998,263,421,548,717,644,166,004,321,326,770,140,252,398,805,
893,374,483,936,750,413,424,826,122,947,728,676,665,979,063,122,201,241,694,
756,505,160,464,720,451,040,365,837,631,645,853,454,538,467,613,928,880,048,
946,298,452,749,570,996,230,589,250,279,197,291,557,115,657,918,028,364,010,
693,961,061,614,886,066,947,168,281,877,255,027,336,415,328,587,180,644,211,
473,464,910,300,452,979,178,537,971,160,531,539,988,705,348,680,346,205,503,
290,806,238,056,765,907,420,412,906,864,232,211,570,659,583,137,631,403,197,
757,636,172,813,071,965,396,863,047,376,031,769,677,775,180,501,046,011,019,
225,332,204,126,763,655,055,400,358,852,565,516,548,755,739,125,242,775,142,
728,497,952,853,804,082,691,452,096,551,636,045,093,623,665,569,904,917,803,
941,825,627,712,365,907,355,129,196,896,148,638,357,853,943,972,461,348,125,
731,157,800,169,503,607,628,942,129,905,463,355,212,376,106,454,986,695,752,
251,815,222,446,017,254,506,058,414,412,244,131,895,131,819,862,601,775,300,
019,738,894,575,109,747,130,396,467,039,113,170,933,361,923,783,984,164,280,
982,001,748,461,383,251,647,273,613,443,236,538,000,119,201,318,752,411,997,
835,990,526,888,941,117,497,862,165,266,679,185,102,466,425,203,926,498,865,
502,149,394,401,049,683,355,423,136,549,492,789,732,633,251,086,679,584,963,
816,651,513,267,105,934,241,518,039,601,184,052,201,520,234,806,572,478,158,
251,468,399,197,515,999,653,157,051,811,374,419,271,259,505,532,399,774,506,
718,554,784,911,913,628,911,109,178,184,607,391,577,229,711,660,445,497,233,
346,072,757,452,250,553,724,910,614,234,657,851,271,841,408,879,592,173,241,
439,491,923,433,800,756,445,501,062,524,870,225,406,183,665,312,772,084,825,
689,836,789,413,514,775,700,943,133,985,971,688,589,204,434,931,436,298,590,
887,468,338,644,267,975,355,810,688,629,605,445,977,222,227,488,336,305,852,
209,668,771,100,415,203,434,209,354,585,361,848,477,491,086,203,011,366,958,
708,085,992,284,809,031,310,992,526,026,463,387,327,460,085,609,749,401,242,
425,011,898,211,648,352,124,370,946,212,367,121,749,566,981,774,916,086,435,
732,744,287,213,876,668,938,205,776,471,379,114,661,855,578,029,316,679,438,
904,747,413,336,601,701,810,781,282,802,851,048,916,011,766,859,145,824,011,
954,890,181,437,831,409,666,371,654,124,764,962,204,456,653,126,225,206,955,
394,962,526,744,621,816,060,290,800,533,613,908,446,302,607,356,449,254,019,
143,340,550,840,419,402,794,456,101,837,132,305,349,995,554,758,794,554,371,
621,807,429,413,499,096,145,835,809,997,941,521,616,684,800,112,450,594,702,
828,564,111,569,428,537,712,155,703,384,114,003,087,832,295,763,908,135,998,
053,661,724,978,004,099,281,643,203,462,940,338,045,027,089,643,917,526,210,
034,857,019,459,627,925,766,347,781,952,546,383,766,865,016,343,961,029,924,
895,767,198,028,452,935,442,390,561,480,810,438,531,410,315,258,493,312,012,
946,546,519,087,628,891,138,819,599,321,249,653,499,367,652,259,602,889,492,
800,517,319,790,153,832,216,359,067,371,524,075,202,839,285,751,485,668,407,
078,660,508,777,802,710,961,515,036,636,579,006,220,268,918,533,715,379,415,
403,099,215,716,254,803,110,511,900,599,947,283,736,918,291,817,138,780,869,
110,217,774,562,591,231,596,811,493,855,953,051,668,638,825,534,747,534,454,
381,175,122,140,061,275,090,134,876,492,277,572,975,910,957,265,981,397,829,
543,372,569,116,200,446,702,138,420,545,631,833,117,477,799,808,205,408,977,
745,468,058,133,879,401,199,037,453,996,433,445,313,531,698,815,159,087,738,
799,690,179,637,151,262,493,744,054,653,091,187,849,209,349,263,891,682,779,
744,384,010,046,294,359,942,154,482,866,729,809,774,709,599,104,324,725,124,
628,099,776,241,560,268,705,165,796,242,746,542,942,149,227,534,855,386,647,
927,339,455,527,647,220,002,967,841,626,243,863,238,789,108,476,100,419,514,
948,796,819,822,115,177,552,290,692,988,678,927,797,678,307,590,777,471,769,
210,446,919,213,738,455,789,864,418,382,723,508,549,452,814,774,920,035,641,
535,534,441,418,736,084,803,612,631,702,157,309,955,357,535,487,050,861,080,
583,832,053,769,395,556,177,429,125,819,706,061,951,202,330,094,519,825,925,
439,747,455,062,734,350,237,081,486,298,557,677,865,976,849,269,706,396,166,
956,443,443,403,075,547,559,577,685,471,759,473,679,241,780,303,087,583,020,
923,256,632,461,862,260,973,045,481,524,700,625,539,783,283,893,220,028,559,
933,427,209,418,101,760,483,575,308,864,838,877,929,904,975,403,809,097,122,
638,093,912,999,272,380,607,598,877,977,123,159,017,772,961,435,455,831,872,
182,597,061,982,658,856,056,000,964,821,207,418,865,184,425,514,355,700,549,
322,106,471,509,862,649,834,583,232,488,264,511,599,892,791,254,668,812,764,
048,768,423,363,532,881,157,249,878,060,196,779,140,385,615,625,799,862,071,
116,417,151,972,066,305,477,971,744,244,117,688,219,651,660,155,761,813,850,
036,984,660,004,897,363,574,619,086,205,063,887,171,755,749,653,864,467,611,
475,634,243,815,757,692,946,642,504,280,232,345,932,638,052,023,872,989,909,
980,921,729,298,521,915,246,558,211,015,200,969,143,901,482,245,098,610,579,
665,665,900,040,606,050,300,058,923,682,396,836,375,159,908,669,567,051,622,
320,783,003,683,448,819,603,692,040,875,246,333,489,025,707,539,388,579,566,
323,019,278,235,840,445,241,366,845,957,479,400,320,550,292,149,869,241,318,
193,448,737,515,592,315,364,745,766,309,796,661,724,035,302,247,571,998,678,
380,096,156,631,863,873,305,791,213,004,191,392,633,734,945,340,999,609,668,
194,945,141,532,772,224,255,738,574,743,128,142,227,984,393,009,257,176,861,
225,502,798,202,549,571,682,009,195,103,371,592,983,953,578,650,926,900,755,
085,629,223,534,583,162,044,995,690,829,139,776,770,955,356,828,328,533,369,
439,193,767,119,699,369,238,882,095,497,307,808,163,769,713,408,815,076,812,
567,280,549,354,761,335,144,322,787,504,605,057,613,835,929,042,338,531,570,
181,099,443,492,857,639,839,491,769,873,216,041,675,715,796,605,835,836,627,
257,290,244,695,623,630,174,703,300,897,936,233,674,727,560,203,474,630,968,
517,475,854,385,361,881,332,230,015,061,240,319,892,345,714,220,638,031,414,
102,288,655,288,136,053,357,991,287,652,397,269,625,778,733,643,620,799,140,
709,108,253,136,736,986,577,411,969,457,014,655,700,184,514,659,413,401,364,
632,496,054,844,972,157,122,779,696,153,494,884,112,321,156,675,239,481,503,
573,277,955,151,974,453,064,851,006,970,467,497,239,194,958,521,562,997,714,
411,041,780,819,359,836,160,191,631,825,325,213,702,544,180,310,500,592,694,
589,493,671,125,361,880,523,945,679,590,346,676,568,103,466,587,638,277,802,
816,245,719,260,140,771,354,431,942,986,081,404,104,272,987,017,738,844,580,
641,981,399,844,971,624,797,834,152,726,667,353,131,680,084,933,321,170,006,
654,283,745,039,296,973,002,059,369,458,923,748,826,450,682,369,259,813,363,
443,681,521,843,866,152,732,052,270,311,648,332,161,451,120,246,589,073,777,
950,033,617,522,332,942,555,565,013,913,594,799,060,418,550,952,745,326,762,
125,554,226,555,657,985,286,766,408,542,867,960,462,095,630,778,658,302,082,
259,324,903,902,264,177,807,758,517,723,394,968,687,856,927,605,816,806,222,
024,955,404,732,339,498,324,560,184,395,988,120,659,484,263,437,067,685,933,
056,032,876,849,791,508,525,649,939,166,671,098,235,974,462,515,952,021,927,
183,267,214,086,653,101,284,697,277,982,676,215,585,338,489,284,505,583,587,
999,927,917,971,732,445,007,377,458,633,484,598,013,420,329,255,160,346,530,
614,903,219,249,629,842,403,638,236,316,548,638,650,363,034,920,767,896,038,
464,213,809,012,995,367,168,012,771,622,640,989,837,924,981,340,184,695,790,
603,223,658,609,265,039,495,849,339,637,942,441,351,525,247,355,755,406,174,
974,335,011,775,525,276,110,149,399,057,919,334,835,792,686,103,406,209,998,
063,536,915,500,499,516,868,686,252,981,546,519,143,652,264,907,318,080,881,
029,264,836,738,171,075,095,579,867,181,226,523,232,715,895,312,449,570,638,
181,996,767,861,075,136,463,523,709,017,368,139,481,849,436,635,237,759,234,
494,797,277,745,452,162,850,769,463,059,252,474,484,977,742,482,875,235,372,
252,458,124,135,184,062,493,166,184,012,550,220,438,313,852,761,270,848,633,
616,659,202,687,429,612,302,291,517,443,156,037,224,712,466,545,753,757,509,
608,398,156,787,626,673,801,091,172,236,092,962,449,427,158,648,403,159,637,
081,343,096,691,294,256,234,381,295,112,821,620,042,793,359,498,971,090,097,
045,184,207,543,365,061,877,280,565,697,991,958,691,860,132,454,587,484,035,
922,137,944,058,879,460,766,766,988,961,508,228,062,401,696,649,225,542,660,
098,010,914,573,645,244,664,077,930,609,779,582,290,232,445,799,512,901,456,
399,537,188,610,667,783,251,473,722,475,247,913,269,197,685,792,811,690,893,
222,445,058,263,369,987,603,107,497,641,570,890,941,698,887,007,851,450,570,
036,643,905,390,329,430,334,515,449,604,617,119,890,607,035,752,957,198,458,
981,682,579,568,721,019,781,244,484,482,354,934,621,652,553,196,819,657,313,
082,692,526,525,711,245,128,838,110,172,016,286,341,600,657,841,718,041,562,
496,112,996,374,020,488,512,408,254,797,714,258,955,766,090,350,418,740,386,
732,933,003,610,726,906,754,566,802,880,556,395,209,255,775,165,627,197,551,
036,534,377,474,568,586,331,652,277,846,824,886,538,516,539,278,737,064,501,
605,453,113,705,270,877,006,683,923,651,481,019,507,645,382,247,128,854,133,
868,580,377,928,058,823,935,061,208,817,765,334,581,821,172,274,936,907,100,
874,606,282,444,187,367,320,922,495,021,653,420,162,954,495,066,895,675,503,
127,043,690,065,117,308,447,740,472,426,965,344,554,873,929,946,294,142,561,
920,232,587,046,535,873,189,142,996,765,230,339,902,486,794,580,347,599,426,
714,267,283,376,350,613,490,170,381,526,346,525,401,936,480,916,443,257,528,
305,436,942,699,509,222,323,436,079,010,494,936,349,504,450,063,398,637,125,
625,959,245,991,383,529,332,740,934,432,118,952,647,074,789,116,185,477,669,
504,362,748,704,719,646,946,807,559,825,839,335,849,792,948,925,399,544,845,
600,986,312,812,393,555,003,599,691,429,872,699,967,547,142,224,509,130,463,
755,643,939,037,110,778,330,226,557,073,669,550,026,506,980,168,822,452,601,
345,983,554,131,809,933,147,778,168,490,844,426,264,999,298,437,374,725,761,
450,575,425,772,220,679,490,993,210,747,727,514,577,805,729,813,238,801,503,
858,367,072,453,356,523,620,897,834,012,375,439,135,103,156,647,203,243,786,
716,873,944,738,766,186,135,351,763,663,674,064,276,757,038,978,140,852,883,
956,621,799,996,601,191,572,158,943,343,480,549,554,485,457,317,419,729,038,
702,525,898,464,962,361,151,248,925,163,472,539,897,253,354,540,484,266,573,
399,043,228,408,003,926,466,295,796,147,088,160,111,926,112,859,694,114,922,
369,479,902,251,028,585,886,811,057,563,098,549,356,341,373,712,312,678,428,
650,305,872,186,029,783,169,709,053,485,302,034,298,186,602,979,231,463,887,
000,072,173,191,567,409,520,441,679,723,475,820,792,941,968,132,476,691,693,
940,450,121,281,857,747,193,563,839,098,747,151,132,210,386,139,230,997,951,
955,099,202,864,523,243,696,158,464,043,048,428,699,537,713,933,272,126,262,
386,078,801,897,903,699,017,045,646,574,766,756,255,268,315,214,678,414,201,
700,673,088,555,173,739,213,752,623,655,185,886,485,213,876,549,128,932,858,
062,638,623,964,181,134,837,534,168,812,145,642,963,245,186,043,015,294,173,
115,885,970,087,054,718,544,199,488,426,810,874,384,324,060,637,001,495,680,
583,712,372,933,494,814,055,405,169,960,236,582,291,631,222,935,319,182,635,
156,601,653,735,202,146,799,893,373,906,846,559,417,591,360,507,169,901,629,
366,045,025,822,322,099,844,814,582,921,088,336,886,115,602,848,919,016,048,
580,997,406,934,935,970,515,097,618,261,081,223,332,113,815,925,041,881,522,
506,474,316,097,927,445,863,211,653,757,414,427,264,451,151,948,941,604,344,
551,549,704,071,670,140,088,751,519,912,519,102,501,749,612,910,876,199,199,
727,604,429,122,770,947,840,136,951,384,478,000,728,371,341,978,854,827,555,
959,743,431,907,681,089,345,068,381,825,525,979,320,267,564,785,613,608,932,
937,899,448,818,841,371,756,559,495,277,053,351,323,928,169,299,404,658,496,
098,104,400,973,839,299,367,152,580,672,198,477,544,608,447,511,675,068,941,
323,569,429,435,937,354,041,690,141,650,368,781,458,637,942,925,995,234,111,
869,054,978,587,825,774,498,727,463,823,229,806,298,325,714,750,919,286,738,
010,664,090,365,214,093,576,296,278,529,052,030,730,025,685,328,192,236,335,
477,480,386,587,151,048,084,131,030,654,271,170,262,006,873,365,836,625,395,
233,906,355,004,319,712,065,093,596,109,240,883,966,619,707,239,093,302,926,
666,396,817,870,558,835,065,968,673,796,415,815,313,877,908,266,620,917,670,
054,812,517,083,392,013,597,594,853,636,647,039,034,003,852,910,564,195,075,
259,398,591,474,697,639,710,428,572,833,555,703,852,174,861,810,086,599,617,
736,274,527,428,880,243,894,103,196,751,362,734,456,717,639,747,571,607,099,
791,690,446,988,098,135,990,818,332,330,228,925,091,187,657,295,516,167,172,
210,796,267,197,838,826,710,399,053,417,832,774,143,071,590,595,194,330,437,
545,436,456,788,417,462,599,105,145,625,456,313,516,898,975,590,210,810,628,
428,052,055,069,570,908,157,261,222,366,732,941,473,116,367,835,028,544,298,
938,257,580,734,037,961,602,491,372,691,828,228,899,651,378,320,824,709,689,
631,329,719,849,229,493,877,637,960,083,154,998,025,790,717,209,068,002,989,
426,625,056,110,464,287,238,294,870,138,524,464,111,607,649,335,262,312,657,
622,616,345,354,433,600,229,827,248,295,180,647,382,710,135,102,516,218,627,
173,355,244,499,222,015,424,292,881,207,870,260,783,651,434,054,664,616,541,
149,213,482,096,038,353,873,814,452,984,438,638,044,745,899,855,742,776,348,
819,818,489,497,683,753,813,477,257,760,625,753,509,528,800,207,559,233,668,
279,441,524,441,783,420,956,356,178,867,704,202,131,077,119,876,115,082,705,
368,891,080,616,921,323,564,618,431,212,036,419,109,136,795,823,370,315,036,
426,220,075,547,751,065,266,400,295,361,900,602,583,012,942,239,859,896,111,
605,303,725,417,417,997,046,892,329,261,416,001,124,515,525,621,556,085,676,
771,902,682,867,856,983,991,676,628,698,924,809,048,216,143,974,647,463,743,
012,784,580,032,953,236,731,979,354,902,901,841,543,246,366,710,035,967,929,
482,102,808,488,318,701,357,543,407,272,833,339,233,619,397,202,809,060,713,
397,149,060,483,663,242,429,931,611,594,487,612,311,468,201,284,124,919,693,
568,362,942,570,563,293,106,506,633,725,009,226,002,508,352,848,458,942,353,
242,306,788,393,659,435,617,688,894,650,847,259,209,502,787,355,536,317,870,
559,607,167,868,383,277,075,968,499,196,274,804,613,661,826,012,161,122,231,
573,832,407,335,575,719,581,565,745,068,822,295,760,208,280,863,191,347,721,
357,438,986,756,545,894,698,828,331,409,691,847,068,091,608,444,025,020,785,
595,820,542,555,484,643,046,232,115,624,436,795,655,462,582,021,118,443,403,
381,990,705,680,747,817,851,080,062,995,174,782,380,966,584,479,162,632,752,
745,398,143,098,134,154,492,301,268,446,582,702,969,738,829,803,043,568,793,
220,263,557,708,076,374,695,404,246,721,912,071,181,466,622,670,193,953,817,
014,966,312,966,424,405,926,113,885,118,462,378,877,405,768,477,928,305,109,
760,185,779,204,677,315,035,929,924,946,022,932,680,870,525,888,900,560,137,
744,370,247,200,174,075,930,074,308,113,829,087,031,555,366,307,298,040,528,
298,629,888,075,416,954,559,576,886,190,241,628,695,390,164,060,346,993,996,
409,274,970,473,484,923,793,823,210,293,001,447,109,897,403,906,060,255,429,
048,046,552,825,439,174,671,368,688,885,123,003,371,455,333,739,919,466,640,
662,719,077,540,320,737,872,210,647,418,456,337,260,475,660,549,557,218,201,
519,563,855,366,806,478,344,147,533,604,063,608,160,891,134,486,249,989,225,
167,362,923,502,082,973,799,640,568,423,939,498,742,990,195,120,252,123,859,
800,079,729,200,185,855,204,853,434,220,424,901,629,881,693,677,466,914,332,
856,270,572,919,067,810,928,978,265,105,627,022,433,399,724,504,678,342,087,
821,209,066,150,980,437,509,424,808,705,466,016,263,789,964,472,342,120,238,
463,122,304,515,599,823,125,457,000,603,362,866,546,697,645,424,465,723,355,
238,803,068,043,592,530,441,092,375,918,104,826,762,642,361,903,741,569,300,
008,608,048,754,210,817,547,565,407,742,224,328,889,412,836,816,999,646,901,
816,768,830,259,037,075,630,078,997,429,019,907,494,453,494,265,768,261,254,
033,333,065,574,575,628,574,165,097,272,261,540,704,896,368,180,356,240,288,
726,270,263,151,393,292,892,134,084,813,517,000,791,812,033,224,215,559,608,
937,546,504,091,308,912,870,323,307,531,941,143,903,116,003,994,907,112,149,
718,905,328,825,041,128,390,197,823,444,698,725,625,752,844,239,340,368,621,
260,432,975,786,827,776,637,972,271,497,964,641,044,742,073,982,545,080,901,
499,310,046,938,653,509,654,301,841,422,247,037,280,878,708,360,597,030,806,
242,938,531,199,853,812,774,131,656,114,297,298,619,994,776,537,267,905,516,
028,681,831,413,358,384,613,352,861,484,969,775,420,137,929,673,751,242,282,
587,455,526,492,887,476,331,862,202,757,098,223,007,618,845,700,948,366,616,
716,099,639,051,681,082,465,447,261,389,888,230,714,020,627,104,044,579,993,
568,199,797,308,962,965,423,953,867,089,572,003,412,129,709,339,121,487,127,
594,836,446,285,086,423,267,338,937,750,538,852,012,538,278,606,309,201,416,
082,530,087,030,393,055,548,103,760,232,847,842,961,923,568,678,683,983,524,
752,213,939,385,498,329,952,485,191,608,080,676,898,857,486,326,534,890,784,
019,428,760,898,761,075,224,817,743,328,161,996,904,094,529,047,348,791,683,
007,379,574,993,660,094,795,374,885,254,524,270,447,924,548,941,491,066,590,
902,744,351,305,352,463,723,334,290,965,000,104,147,147,683,600,508,342,052,
774,169,935,290,456,993,884,366,059,833,819,267,100,742,696,788,384,794,612,
480,389,672,718,978,153,802,209,018,462,381,560,325,279,232,477,708,897,001,
447,485,061,314,749,625,309,803,792,290,985,677,994,499,075,566,765,226,575,
681,699,965,344,535,025,342,411,017,615,003,531,490,341,567,868,582,972,090,
897,027,402,872,858,479,441,620,234,454,274,284,929,003,642,797,108,451,810,
988,191,780,717,937,394,588,359,774,538,410,190,930,483,786,606,633,362,349,
947,825,863,648,693,207,433,272,420,459,711,736,271,849,683,002,809,963,652,
399,213,738,536,820,159,039,185,427,753,280,159,596,693,280,529,306,358,333,
997,173,174,554,594,769,708,552,784,300,006,893,718,914,891,708,854,405,328,
977,180,234,027,119,117,991,976,478,902,859,271,708,840,051,984,575,205,727,
430,795,829,177,888,453,537,079,184,114,501,765,060,866,162,169,911,021,148,
425,068,140,131,783,757,139,219,958,331,709,186,983,501,485,198,952,523,512,
962,568,846,174,802,485,889,165,659,013,121,150,399,153,873,418,216,923,909,
837,611,172,472,017,384,436,351,166,409,368,807,118,336,479,822,221,177,452,
041,905,877,291,589,341,998,284,684,086,792,469,744,678,057,131,767,821,294,
772,415,401,990,879,432,928,102,363,251,657,965,072,042,843,782,400,130,283,
105,034,357,753,931,412,345,981,032,458,077,018,492,706,217,715,735,202,164,
348,940,462,264,547,262,157,597,942,202,123,201,580,689,473,219,811,031,882,
531,938,156,419,801,371,596,918,732,285,501,853,128,226,285,526,351,234,820,
851,658,077,790,901,656,005,000,521,467,194,339,296,156,843,092,716,154,451,
340,237,766,328,076,432,076,659,511,717,874,060,738,750,749,371,415,252,095,
387,054,535,235,056,094,863,516,532,998,855,264,028,697,995,519,461,807,574,
598,229,121,820,086,570,326,403,874,840,966,965,838,483,404,288,674,573,317,
583,918,520,835,239,259,844,705,058,066,001,314,586,964,149,366,623,091,161,
350,936,715,417,821,772,405,983,311,327,859,459,551,877,857,953,843,311,594,
044,845,499,780,420,045,001,265,986,843,929,292,126,654,444,869,929,949,420,
760,193,487,768,765,416,131,041,192,754,813,662,649,793,834,974,082,649,716,
927,913,357,007,498,841,088,022,932,278,278,626,243,148,011,941,619,779,133,
605,263,128,038,342,952,906,970,909,827,375,167,261,294,068,661,631,339,232,
507,141,470,135,948,377,630,378,350,469,265,505,287,819,796,668,704,461,892,
260,818,947,953,335,583,019,129,931,035,890,101,437,009,598,752,640,043,537,
054,477,011,634,934,421,032,836,157,377,521,665,474,656,961,462,821,877,226,
439,397,357,635,668,167,054,227,463,843,411,305,777,611,406,569,737,679,111,
911,269,933,155,857,515,717,283,970,393,959,902,610,072,106,712,846,154,605,
335,214,680,425,726,804,120,453,304,071,649,833,957,419,210,017,209,633,451,
129,734,734,059,027,591,906,312,552,260,426,657,555,480,151,703,766,961,409,
645,737,314,537,313,638,790,146,959,818,754,990,578,003,520,331,785,753,863,
001,907,221,112,512,523,248,776,511,983,777,150,991,962,461,949,678,804,525,
343,032,159,681,870,419,611,184,241,836,174,802,907,179,114,869,321,514,369,
798,500,950,115,634,291,047,526,019,032,881,612,291,983,139,931,569,190,016,
009,537,377,180,234,272,304,177,711,590,920,160,267,718,190,746,416,204,800,
337,348,024,399,344,693,539,285,377,041,631,284,958,895,187,025,776,866,288,
669,744,596,734,828,191,089,428,052,850,659,620,701,982,570,941,870,908,914,
814,585,217,606,474,182,720,767,636,556,073,009,181,454,410,720,410,554,179,
714,352,899,096,253,108,107,973,079,896,602,225,634,298,046,493,059,498,566,
613,810,298,196,196,359,811,262,098,930,232,445,777,651,614,479,674,453,823,
442,119,207,950,717,362,248,415,692,806,630,785,555,148,247,109,653,724,082,
624,284,570,241,868,043,124,572,989,356,923,387,633,392,851,598,887,338,051,
435,226,803,222,392,797,324,235,346,043,985,415,687,603,818,313,425,107,079,
127,587,043,041,601,785,291,956,343,460,673,347,339,600,107,144,352,147,074,
770,886,320,254,596,377,136,793,668,587,659,407,793,430,875,460,679,470,611,
270,439,580,325,050,479,985,833,954,870,871,545,134,004,902,147,269,635,369,
645,420,286,598,392,130,634,743,597,319,639,124,415,157,626,703,732,101,166,
217,112,268,225,038,934,583,094,067,868,130,529,041,669,452,081,470,544,092,
449,945,329,153,396,047,697,585,903,195,274,373,659,520,594,041,670,904,756,
383,461,044,065,611,848,154,270,032,683,426,467,648,757,333,167,438,222,381,
417,046,464,167,578,880,389,848,970,848,257,578,929,083,963,403,870,411,427,
984,367,070,295,614,390,310,642,637,046,080,314,215,142,993,011,508,264,960,
131,938,115,346,231,872,649,934,255,309,792,504,596,211,379,495,349,035,720,
293,674,661,519,746,298,762,606,744,251,410,127,053,276,090,121,515,167,534,
054,433,166,609,732,523,301,762,259,337,821,517,962,595,655,026,806,652,108,
483,054,918,778,952,678,714,292,181,219,601,847,371,086,473,138,904,438,890,
013,205,112,559,926,004,536,388,104,256,694,644,284,605,884,403,411,649,226,
926,680,143,442,032,508,730,182,395,226,135,467,096,743,855,908,979,419,492,
436,675,932,393,655,630,049,204,601,997,180,866,330,941,053,797,700,839,229,
721,362,635,338,423,661,097,138,525,558,428,449,027,848,814,326,675,350,985,
213,979,672,246,934,419,961,638,141,424,477,471,342,092,467,150,413,456,929,
420,688,278,221,074,956,411,252,694,595,815,443,708,152,366,543,078,104,675,
073,763,663,071,751,222,357,069,726,852,496,435,859,387,973,368,103,387,827,
112,521,983,094,832,466,093,729,195,575,983,477,636,768,485,393,147,341,118,
158,136,996,599,496,709,087,037,337,127,454,695,956,167,787,739,253,457,087,
392,059,196,987,491,113,619,471,482,246,476,369,023,081,210,080,614,116,719,
151,968,864,468,017,515,851,961,932,988,210,872,635,022,019,750,223,414,075,
956,076,033,148,991,523,233,059,550,386,848,228,564,632,507,323,190,281,091,
485,666,470,586,773,073,172,037,158,527,152,169,730,077,984,452,935,491,861,
075,322,963,298,695,844,728,811,736,435,651,757,081,021,975,412,514,969,171,
493,436,532,154,695,758,016,923,745,313,096,201,576,249,596,975,002,407,491,
690,283,548,520,909,122,310,346,359,421,049,113,957,296,838,459,067,785,932,
570,423,148,149,643,527,747,904,071,586,557,542,425,170,220,853,114,636,512,
919,104,248,312,190,984,338,173,139,362,670,160,816,112,608,115,990,386,812,
520,873,377,053,483,608,824,747,383,173,917,677,125,413,419,207,692,215,252,
420,402,471,211,435,507,662,342,044,330,021,490,935,769,121,557,841,363,335,
324,926,646,525,579,489,516,738,705,579,740,458,150,584,958,208,303,463,259,
498,816,092,224,110,901,842,501,384,107,056,545,245,720,050,109,210,205,637,
215,353,693,851,697,380,057,328,688,511,366,070,783,390,680,662,353,297,571,
183,934,889,811,765,976,352,470,508,074,587,647,563,370,478,668,368,264,360,
327,542,409,703,667,072,217,709,113,257,653,132,317,683,477,597,015,568,851,
883,347,685,598,723,135,482,319,861,212,727,976,465,039,384,505,181,412,019,
300,281,565,008,418,889,003,675,914,884,912,340,741,840,182,725,154,923,689,
715,969,516,673,958,612,682,616,044,475,263,533,803,486,269,231,963,954,270,
197,705,966,061,311,759,551,055,519,704,938,466,444,998,493,383,816,041,265,
692,134,798,938,135,787,059,769,081,558,657,276,438,132,660,119,191,743,424,
694,513,180,784,323,786,897,057,263,801,904,590,333,037,013,821,725,781,284,
917,883,984,190,549,293,198,805,451,343,309,739,306,402,357,514,188,475,738,
560,200,248,980,138,581,760,124,727,734,099,569,806,693,434,117,326,447,246,
600,865,929,476,487,494,079,024,444,174,933,129,515,317,098,995,220,664,163,
660,406,192,333,469,895,604,712,420,953,396,420,749,903,796,236,847,990,035,
817,348,063,910,240,141,864,334,282,466,957,286,169,930,147,034,219,323,001,
716,208,996,225,700,962,697,146,577,316,550,047,206,179,655,920,216,912,073,
607,270,119,024,451,273,189,995,662,700,795,696,631,027,648,468,295,514,428,
140,362,445,543,475,334,036,151,584,149,473,881,649,723,565,043,931,853,568,
653,317,569,033,050,207,985,274,588,816,880,641,883,326,075,141,095,603,431,
569,286,619,595,901,701,377,509,973,153,559,314,548,918,532,324,920,025,228,
273,329,974,913,496,138,819,603,792,125,154,169,130,363,916,515,935,394,890,
843,181,750,640,388,698,985,615,570,891,450,962,504,862,433,479,333,141,257,
891,603,894,432,593,523,269,196,491,222,688,233,617,158,469,459,234,696,084,
596,291,014,428,600,061,901,343,360,461,304,643,780,878,125,140,903,775,193,
522,155,209,969,989,258,782,420,262,167,232,434,146,989,434,920,616,731,923,
033,320,318,054,743,632,320,979,389,829,555,847,089,558,895,796,604,366,554,
958,971,872,949,253,577,270,014,557,877,659,602,804,832,593,581,432,156,276,
061,603,705,125,433,321,878,656,506,353,806,226,656,406,036,695,541,717,263,
350,671,935,758,155,323,276,591,188,075,208,498,652,588,650,419,746,624,851,
449,494,739,546,001,926,061,025,220,142,502,367,599,640,633,087,337,825,840,
473,952,986,260,686,440,458,180,833,875,497,591,742,396,536,085,655,201,185,
445,868,684,222,783,564,948,845,550,782,969,386,861,593,218,434,490,179,423,
229,072,154,378,660,838,486,376,117,014,173,431,279,919,251,846,070,713,884,
477,603,459,917,970,558,811,506,732,989,772,205,011,773,591,940,553,560,279,
510,301,068,436,027,720,751,804,588,062,695,614,154,891,944,171,620,881,461,
477,701,688,203,463,404,821,108,887,035,096,835,702,668,173,191,964,642,733,
160,134,754,493,170,184,462,156,424,613,159,989,180,179,626,330,999,499,891,
502,016,410,354,961,297,948,676,894,021,343,471,269,290,244,675,653,889,830,
034,635,552,036,428,974,080,142,137,464,533,105,408,647,923,799,643,515,631,
619,345,682,897,415,239,457,776,184,641,665,698,164,978,454,686,731,702,684,
147,562,458,950,885,546,601,690,664,739,709,100,459,314,906,875,682,367,311,
634,755,236,189,458,141,110,314,766,503,278,924,354,269,511,356,611,145,915,
138,699,277,976,880,622,924,031,873,968,263,605,086,523,025,701,946,600,979,
684,325,371,782,542,260,423,264,473,392,521,278,398,918,996,617,066,285,625,
099,633,197,379,240,295,128,037,091,400,639,774,703,971,387,182,456,691,913,
433,598,287,753,692,232,701,214,813,593,718,055,401,905,939,799,823,957,151,
384,321,536,012,922,652,191,332,929,679,971,474,778,275,025,401,316,790,587,
489,932,821,913,418,441,673,865,821,729,659,597,696,564,265,963,939,633,006,
652,967,731,327,805,524,486,247,437,387,704,403,788,420,012,257,103,423,809,
630,906,807,428,063,925,950,920,467,222,399,059,150,611,380,414,398,690,625,
684,439,403,064,043,762,209,352,383,286,322,967,211,463,255,836,989,752,275,
754,644,265,006,797,915,270,817,880,759,456,496,358,373,076,285,640,720,372,
846,293,479,889,199,660,335,350,040,991,744,223,045,130,891,041,857,993,505,
535,453,394,750,145,173,977,233,152,586,031,760,907,677,910,834,775,506,500,
520,642,101,081,777,638,923,112,400,270,608,567,104,770,612,084,071,746,784,
835,569,814,244,457,891,253,594,522,519,160,085,837,795,407,573,534,974,102,
672,376,156,788,687,423,995,571,925,076,658,319,353,492,299,315,463,300,333,
906,522,198,067,884,774,330,663,787,152,491,728,429,478,613,382,650,934,327,
331,516,915,363,520,126,710,561,072,392,406,347,551,652,600,454,259,419,729,
198,899,713,307,029,532,339,550,588,334,346,388,590,985,285,611,176,147,226,
938,158,008,101,941,615,971,289,777,021,836,199,521,675,652,774,535,965,219,
538,251,054,643,635,720,022,430,092,636,994,710,035,652,683,452,855,163,539,
785,680,198,265,938,109,685,956,608,293,313,478,854,597,262,323,661,409,975,
539,215,504,360,486,785,571,854,613,460,759,080,965,896,137,165,097,302,316,
518,054,358,832,175,655,872,392,774,966,555,073,824,389,236,210,816,523,009,
976,240,073,287,966,303,608,535,355,983,004,137,505,110,823,832,867,556,831,
311,149,569,490,088,473,043,343,005,093,617,733,914,050,759,963,692,011,091,
757,105,594,379,284,167,206,535,660,738,628,425,923,024,804,708,145,916,755,
033,838,901,820,740,691,300,781,053,147,704,316,388,896,714,951,003,371,944,
520,046,934,726,702,441,502,085,745,874,777,213,026,070,059,734,201,823,006,
766,549,238,684,955,350,562,164,247,867,626,517,659,378,431,404,471,130,592,
355,588,871,864,705,347,109,514,486,733,538,746,105,299,831,066,877,125,827,
106,141,080,483,942,480,553,912,644,388,493,174,067,833,841,336,416,635,972,
541,680,260,825,657,228,562,310,772,365,370,953,376,595,613,747,800,526,757,
048,543,849,034,091,628,756,410,806,404,177,255,170,724,379,722,462,867,261,
989,279,198,113,507,358,930,489,853,668,002,331,263,461,474,984,799,769,458,
788,299,839,590,497,739,775,288,909,392,537,138,820,803,728,701,142,400,875,
272,829,743,141,187,414,872,409,237,783,457,509,942,797,292,482,436,442,639,
526,982,045,243,383,896,176,153,207,212,195,743,463,452,016,570,876,621,191,
008,538,428,219,243,571,782,268,372,782,021,656,945,253,509,496,652,806,516,
199,804,158,362,025,245,224,994,147,292,525,768,925,428,327,853,878,791,420,
808,745,948,454,485,655,049,483,662,432,559,491,087,597,912,467,098,438,857,
578,860,805,092,812,902,276,188,468,678,048,750,728,694,889,277,024,350,378,
012,480,410,998,457,347,967,697,832,456,798,962,653,946,526,955,364,430,992,
613,463,710,323,434,370,553,428,887,656,151,507,614,114,380,402,281,443,460,
780,025,216,019,456,567,642,822,913,337,223,796,279,163,781,308,315,234,113,
753,765,587,158,577,283,890,811,940,814,622,118,359,067,181,340,838,177,511,
490,565,710,198,581,091,416,347,524,983,209,695,051,340,480,140,606,343,169,
092,959,140,155,485,875,480,793,482,939,383,126,658,867,252,243,784,900,281,
343,482,962,507,699,617,427,346,465,254,280,163,127,106,976,429,241,861,825,
462,857,274,583,608,869,886,188,188,889,645,392,270,826,272,036,878,249,062,
060,110,589,551,741,817,599,840,128,464,849,183,100,894,041,241,443,475,178,
853,533,753,942,405,711,375,865,382,286,323,694,541,211,363,704,041,952,005,
546,034,157,029,557,381,553,663,417,514,629,627,388,481,926,505,713,475,722,
836,216,810,083,418,528,919,244,868,072,898,748,228,413,970,183,828,428,413,
173,733,233,380,555,315,886,874,371,318,883,414,601,877,473,568,219,713,411,
828,496,663,942,093,278,539,522,666,936,277,687,573,477,740,874,115,200,214,
380,411,775,409,389,915,988,647,726,036,249,762,285,440,591,478,572,225,067,
812,006,738,973,158,272,397,176,756,881,292,009,188,494,465,604,102,441,074,
188,807,828,011,328,533,644,306,252,308,425,010,311,768,063,437,551,063,298,
360,006,986,522,309,060,919,509,796,213,967,543,987,957,284,802,185,782,983,
675,055,506,042,092,801,993,033,380,822,185,201,031,649,338,558,171,042,106,
023,949,876,002,354,855,097,686,232,585,724,950,562,275,972,215,142,368,334,
072,288,368,808,682,304,299,196,698,921,383,731,267,329,906,436,792,940,886,
787,817,603,234,544,571,207,250,112,749,813,905,096,678,693,721,165,829,027,
079,386,106,317,003,003,008,797,943,658,988,954,912,799,197,814,209,100,935,
373,617,616,940,847,053,797,303,500,106,575,916,279,613,732,279,093,599,944,
286,061,710,677,436,350,510,063,351,246,876,156,892,603,422,018,178,079,029,
013,835,623,860,765,987,548,792,203,140,429,910,913,059,521,363,602,107,728,
242,629,999,992,734,268,134,654,918,333,406,489,011,809,466,377,610,886,134,
863,870,824,355,846,592,769,230,654,692,898,323,979,522,448,249,296,451,893,
196,280,840,331,650,600,945,232,620,748,436,175,944,737,685,901,845,236,402,
273,599,286,414,867,167,807,482,844,701,393,835,944,583,844,531,497,126,527,
982,699,512,664,985,591,608,321,370,172,609,004,699,213,839,027,266,340,847,
484,367,064,587,210,405,012,348,188,941,460,671,006,172,413,099,790,164,025,
914,500,241,190,694,105,722,028,106,071,676,138,167,796,465,583,048,410,001,
307,793,457,853,051,712,804,529,752,398,152,870,133,822,324,958,909,665,213,
908,019,858,306,908,687,725,322,590,092,563,150,774,394,280,102,987,394,000,
227,702,775,747,920,684,171,475,986,196,312,666,050,989,025,926,891,883,915,
729,055,088,412,638,077,914,659,148,129,557,295,009,158,423,663,856,321,156,
084,609,980,924,613,310,706,753,551,552,069,266,234,307,930,353,394,172,758,
518,190,971,092,738,122,440,400,485,223,712,843,412,276,396,083,371,884,034,
631,025,944,912,839,294,244,311,160,221,525,056,712,679,601,117,770,217,756,
835,965,072,620,230,940,505,510,638,874,219,950,321,509,351,954,994,426,447,
025,059,002,030,134,356,096,979,016,937,206,433,677,374,242,595,501,308,537,
950,560,800,160,185,988,778,134,432,656,589,478,266,470,104,277,881,800,670,
594,573,488,073,394,248,315,546,572,511,533,948,446,309,427,660,230,616,836,
985,635,986,641,970,618,491,482,528,248,737,704,957,673,976,146,103,431,157,
849,699,744,818,545,597,170,197,688,198,521,091,315,289,118,942,421,123,759,
927,146,265,910,495,620,364,627,648,137,697,201,196,709,825,201,491,878,154,
255,913,966,424,109,052,017,037,475,776,924,840,608,746,866,362,057,701,141,
283,864,492,774,041,938,222,688,274,852,746,582,610,642,515,280,945,176,258,
277,799,084,328,966,595,705,634,792,546,443,775,010,812,291,119,396,144,292,
469,042,962,237,703,428,862,895,154,322,912,210,923,876,460,722,044,876,630,
968,582,080,281,630,465,989,245,969,097,612,670,703,958,582,432,175,886,527,
479,579,604,312,261,712,013,504,662,984,533,677,692,557,344,592,911,518,042,
152,070,435,025,121,865,142,594,185,778,803,631,513,326,513,952,071,659,568,
729,237,326,803,901,219,198,446,013,520,202,568,088,008,278,642,417,868,280,
411,062,242,958,399,633,209,992,473,306,719,653,744,498,092,345,225,639,504,
754,867,181,494,516,709,913,245,431,972,837,357,187,272,542,452,013,874,063,
009,469,255,690,968,160,664,492,257,303,928,001,493,830,806,990,128,827,811,
845,780,088,650,046,280,888,430,911,183,142,311,915,840,622,973,671,381,507,
106,654,871,691,443,490,011,796,166,642,092,342,524,641,950,002,477,568,257,
228,348,221,459,202,793,829,857,146,701,034,021,854,594,515,766,764,801,247,
055,932,828,255,315,779,911,243,255,512,566,345,405,157,094,078,217,073,887,
377,235,986,690,370,622,850,042,969,513,687,538,418,939,310,560,771,088,426,
087,518,986,825,365,357,336,739,095,225,128,767,876,235,876,314,869,140,002,
020,091,916,635,319,025,543,817,566,300,688,764,611,542,492,422,905,836,802,
274,222,846,147,532,883,530,498,654,838,176,141,226,290,045,021,914,410,394,
805,995,472,474,672,685,699,546,989,816,462,895,080,635,520,258,828,981,030,
296,346,547,816,191,569,460,666,935,761,500,541,352,137,093,184,764,662,481,
577,475,645,551,327,215,887,057,458,921,662,309,417,357,108,140,136,045,315,
004,342,645,201,947,192,931,480,014,555,609,928,172,322,559,823,308,884,984,
897,053,022,835,584,573,711,758,698,132,188,168,481,248,341,141,953,422,236,
238,173,810,299,163,478,206,604,585,724,895,702,745,796,116,591,257,951,042,
735,048,427,142,337,647,046,900,404,714,085,391,699,221,712,202,264,634,142,
655,423,904,585,951,124,943,499,056,031,414,923,846,397,595,847,428,807,887,
204,593,040,016,936,501,285,534,820,670,301,718,293,751,870,814,329,316,035,
903,301,991,889,869,416,881,675,007,928,835,700,347,089,879,788,485,435,670,
195,092,681,402,034,452,654,484,933,613,467,591,350,437,346,683,606,364,449,
144,583,141,500,871,982,901,211,011,038,946,021,850,644,523,041,589,715,548,
305,057,676,723,799,777,968,752,973,833,303,358,412,080,659,247,823,832,298,
577,440,804,188,589,182,871,122,473,960,763,839,058,320,167,400,445,306,317,
915,379,561,728,387,827,021,126,451,058,813,202,770,223,037,311,092,866,140,
589,578,485,986,119,394,286,924,579,644,159,229,113,682,295,438,592,527,327,
505,930,610,600,520,909,989,868,617,205,659,074,144,644,121,625,245,910,443,
558,219,570,121,360,979,865,201,531,840,567,771,623,995,688,806,342,036,043,
205,956,262,158,932,302,030,756,638,858,892,918,658,249,791,977,479,148,327,
727,404,056,837,218,693,651,399,232,634,369,978,084,286,884,244,883,480,184,
882,532,901,473,638,728,207,715,379,906,113,591,045,832,323,748,972,014,420,
296,539,522,917,522,586,160,407,494,419,193,071,200,498,500,221,712,190,014,
808,317,099,738,377,984,537,790,124,038,152,572,602,932,274,280,475,432,282,
914,528,036,017,968,694,075,399,733,981,999,608,712,126,835,081,154,764,427,
296,596,199,497,689,252,149,511,480,204,830,686,213,850,313,306,837,743,216,
590,092,860,011,769,238,199,674,821,258,209,037,905,322,695,533,869,503,001,
522,945,240,981,942,078,724,452,460,898,004,884,536,162,417,254,503,326,902,
161,833,946,983,432,006,029,957,287,511,353,802,817,574,042,615,076,658,289,
095,612,699,139,004,576,245,741,843,059,945,245,877,854,436,793,876,380,721,
336,948,652,892,138,713,893,092,672,189,151,889,390,641,694,764,828,078,060,
391,283,996,198,746,275,178,382,928,768,659,440,177,721,159,605,892,690,413,
453,039,541,439,530,146,694,759,012,625,663,174,236,624,483,078,444,978,761,
287,641,761,907,638,887,213,660,164,089,849,543,594,547,481,295,818,730,713,
435,676,911,100,997,797,988,716,680,261,862,467,028,390,022,378,269,436,206,
920,560,968,269,162,859,081,493,367,919,447,677,600,165,762,277,966,304,022,
864,329,524,092,248,589,169,039,284,694,139,091,660,831,519,227,005,246,235,
204,079,743,557,508,192,425,187,837,563,730,003,021,802,118,576,123,198,576,
040,378,495,371,557,932,738,063,647,989,651,036,618,110,152,373,284,426,731,
637,435,227,070,003,579,972,208,866,633,179,634,930,649,423,368,981,560,607,
079,427,919,258,107,450,676,120,332,254,302,180,907,750,887,614,833,363,401,
711,931,047,178,080,276,653,246,832,655,247,043,777,663,835,231,007,123,600,
878,868,100,169,961,185,349,219,216,563,920,648,455,829,940,103,334,860,383,
416,939,331,573,444,433,443,312,847,625,665,533,898,732,525,866,115,775,123,
621,339,925,829,594,821,853,623,719,198,276,547,012,732,421,804,411,996,052,
532,018,631,050,467,249,210,730,029,933,466,134,172,441,062,771,555,793,960,
091,382,274,793,571,546,137,702,779,255,850,277,670,369,596,374,883,490,406,
873,275,002,856,727,281,574,144,049,903,603,448,312,726,005,534,283,686,083,
131,701,809,739,198,093,784,208,946,841,274,578,916,441,870,824,341,209,501,
330,574,421,236,300,441,899,727,139,783,907,633,470,917,863,349,492,053,312,
002,326,194,714,145,836,273,528,451,366,497,673,821,040,424,473,501,840,300,
958,560,214,552,065,779,914,801,188,925,594,046,187,984,405,253,918,338,375,
003,365,784,973,565,859,427,133,723,371,746,075,911,631,059,849,955,433,994,
213,747,928,622,900,860,079,320,715,910,051,668,469,322,419,908,227,015,267,
725,993,040,367,331,128,355,711,640,171,556,558,843,222,766,399,906,281,309,
073,035,870,364,740,195,403,458,430,400,806,713,222,282,010,453,871,806,571,
681,875,689,192,258,350,243,461,111,366,590,020,805,201,833,133,085,790,474,
878,039,600,882,147,405,904,315,808,666,491,328,570,198,382,911,332,367,122,
739,394,000,726,834,056,913,694,570,700,767,493,662,490,223,480,889,942,608,
169,448,579,917,348,350,137,289,184,273,359,612,700,430,250,893,901,196,645,
856,105,220,922,030,485,728,578,669,550,524,431,284,171,685,136,542,956,039,
295,444,426,497,662,079,350,573,778,592,234,408,232,077,316,446,445,075,240,
912,965,682,857,738,240,403,207,767,786,549,589,831,019,086,062,296,691,949,
254,391,140,236,293,108,910,756,747,374,376,091,178,078,976,130,993,154,130,
822,293,824,341,005,178,231,392,060,720,683,362,290,393,348,762,839,493,776,
861,848,917,373,871,764,479,202,109,381,304,709,472,482,221,022,747,132,970,
917,623,825,550,730,829,012,450,551,135,959,448,394,828,575,484,474,766,271,
161,909,983,196,995,987,152,100,618,644,413,615,901,559,573,791,251,793,251,
709,500,655,957,960,364,115,052,275,065,370,760,389,933,419,244,865,360,396,
581,894,728,881,642,324,601,118,368,080,052,384,921,036,130,485,578,572,872,
125,836,894,516,007,384,803,226,078,370,559,303,976,090,664,144,827,201,768,
454,031,203,547,336,483,386,824,535,708,729,288,960,259,504,994,773,471,085,
522,814,280,036,472,009,819,136,622,129,125,544,523,868,377,893,088,144,662,
192,146,955,487,877,614,066,200,223,580,058,060,107,069,238,705,127,575,554,
395,380,612,734,834,158,013,061,160,173,862,464,856,354,917,892,432,873,656,
720,933,178,929,816,848,961,451,441,447,586,096,244,681,704,278,356,704,294,
684,843,583,215,089,135,815,849,126,100,777,663,663,043,632,673,966,341,732,
895,060,906,351,823,487,121,814,922,280,914,051,533,063,032,593,777,286,674,
564,471,647,799,194,571,134,881,855,848,137,418,442,357,688,255,587,224,713,
388,621,822,787,827,901,112,556,854,657,018,259,419,594,481,151,109,872,809,
951,666,129,885,543,343,249,163,268,004,521,710,286,297,095,169,315,302,669,
921,899,055,783,026,372,529,701,790,539,510,723,857,301,887,621,824,048,848,
043,216,225,703,223,870,774,729,077,259,897,349,516,895,455,229,219,809,777,
653,818,122,085,498,469,274,689,758,351,775,673,955,462,095,812,380,747,429,
346,926,081,508,884,332,838,376,012,166,145,404,985,881,276,270,097,708,415,
921,446,424,798,267,732,599,444,624,354,892,033,082,661,213,993,326,654,463,
489,782,357,074,069,856,706,902,049,907,597,219,773,972,544,407,242,319,912,
498,581,915,371,499,988,350,557,785,783,808,641,507,167,672,687,472,207,251,
227,244,396,001,599,142,603,505,680,470,066,707,473,194,716,228,862,566,953,
035,904,384,775,611,402,085,488,483,577,584,173,471,550,179,255,967,175,323,
335,490,330,702,654,824,319,494,700,617,695,472,283,144,103,366,363,957,547,
223,987,720,283,194,621,119,390,813,326,178,112,469,740,526,457,641,536,253,
254,711,349,568,315,432,685,916,006,449,316,387,212,242,528,091,492,530,187,
833,340,589,940,836,554,540,402,934,126,604,708,820,175,258,985,208,251,934,
115,986,689,695,695,485,275,126,214,578,063,508,060,447,075,966,052,516,622,
681,612,309,642,733,151,113,275,501,956,639,043,677,999,520,616,206,742,184,
108,418,465,365,045,817,403,499,583,667,219,776,003,871,536,722,193,042,060,
890,689,702,286,724,915,255,196,154,068,876,249,407,571,605,786,664,341,689,
583,064,644,943,202,784,204,191,296,343,587,914,056,868,843,205,761,896,888,
084,374,001,386,562,477,560,444,196,798,311,221,637,317,061,713,398,226,333,
524,343,360,948,399,381,959,970,534,780,598,460,654,280,355,971,772,524,120,
321,885,518,095,654,770,307,170,731,157,475,940,691,336,304,992,896,517,483,
391,790,991,859,623,071,137,213,544,020,975,528,807,052,578,064,525,797,823,
660,546,321,317,034,467,573,338,392,961,663,932,683,033,995,226,896,176,364,
400,642,790,739,507,850,499,409,644,329,803,830,280,562,799,474,849,370,105,
897,270,585,559,992,903,978,808,429,415,890,687,727,738,843,933,493,613,146,
187,807,125,002,200,226,973,068,098,783,602,301,489,769,248,083,870,030,241,
097,646,901,419,264,341,592,834,491,902,268,556,019,454,702,221,972,375,457,
406,608,589,504,874,052,601,793,828,790,976,781,852,986,891,972,656,153,553,
074,373,684,008,850,984,696,897,171,234,176,179,057,234,267,843,988,463,528,
130,886,222,088,864,912,214,776,445,731,175,538,457,300,674,366,647,611,742,
874,063,427,587,559,358,101,537,357,798,186,687,903,277,482,576,775,508,363,
402,891,777,848,739,601,747,331,157,803,616,535,746,338,682,406,105,973,146,
415,988,945,627,605,903,421,222,686,669,573,682,391,023,325,632,694,403,632,
655,453,243,215,375,619,587,439,857,493,041,659,132,557,558,264,555,328,583,
138,117,383,890,167,371,979,910,369,998,280,504,547,008,980,688,969,177,087,
465,885,528,658,974,571,296,907,620,249,745,808,823,227,809,458,767,482,667,
095,601,578,760,806,087,542,955,433,210,809,544,527,935,349,154,360,783,948,
660,120,181,375,396,393,545,221,196,908,089,605,929,364,126,919,024,634,435,
854,431,034,869,956,471,204,417,186,080,255,905,643,429,161,837,677,251,613,
820,061,754,277,595,268,276,524,684,616,905,844,793,065,419,341,251,123,159,
214,722,618,771,025,667,686,476,255,127,123,703,838,411,516,546,853,693,478,
683,031,692,675,270,858,564,778,473,086,108,337,148,772,121,138,788,485,103,
041,694,572,004,997,125,757,267,387,950,049,533,631,457,021,103,106,426,071,
318,903,068,715,899,920,826,207,744,145,480,061,004,210,974,019,819,982,691,
493,805,906,571,449,881,485,475,177,957,580,775,477,137,339,162,984,448,025,
634,320,144,635,736,388,481,681,632,727,291,110,146,671,828,241,815,045,987,
212,435,664,809,728,968,216,943,744,595,433,163,623,127,175,700,049,657,903,
761,515,274,404,936,110,824,350,241,041,374,461,073,459,996,459,132,188,159,
769,621,288,203,524,211,253,998,349,706,331,211,296,458,873,443,134,966,962,
010,749,808,716,220,672,540,076,852,557,257,944,457,641,545,024,490,214,835,
425,834,759,151,994,020,855,900,730,797,180,663,888,308,273,527,069,310,659,
039,150,868,678,386,036,275,696,717,425,627,273,238,434,923,049,362,988,932,
115,807,398,659,082,881,435,849,997,270,963,046,192,011,768,522,139,165,538,
424,151,758,521,762,180,502,596,086,014,887,957,646,456,062,130,340,678,858,
025,199,561,413,567,712,508,063,900,055,593,391,217,175,857,994,562,182,727,
425,009,744,598,542,348,836,435,549,145,070,382,053,359,299,854,872,555,396,
973,108,264,369,640,373,636,579,000,554,927,084,009,087,780,237,148,288,105,
226,004,799,798,485,830,166,496,233,213,331,097,879,008,109,802,751,122,564,
152,687,271,955,208,813,323,078,536,617,000,985,806,323,636,626,372,767,494,
714,656,870,163,943,907,784,786,307,123,512,306,744,335,758,329,701,628,540,
708,620,315,776,825,636,383,674,785,600,942,439,224,415,709,913,882,844,432,
015,274,502,524,612,337,732,376,158,075,125,931,865,765,556,540,158,754,236,
662,375,775,037,942,321,360,801,108,911,361,076,228,314,992,268,645,363,274,
927,358,909,684,020,691,532,137,063,553,245,684,075,191,120,564,672,892,326,
586,470,923,870,414,223,427,179,886,834,360,576,404,971,051,985,831,029,686,
940,835,715,636,035,974,655,807,514,679,824,665,077,418,384,132,883,097,601,
626,552,732,562,181,597,409,481,575,612,421,827,426,491,242,958,873,915,951,
726,253,718,757,687,737,862,802,695,131,174,654,111,782,702,502,254,021,233,
452,803,504,405,832,553,147,334,516,694,178,764,596,006,090,295,284,149,535,
720,752,403,931,660,420,053,093,119,205,298,438,172,017,964,885,984,685,952,
082,855,370,198,484,193,267,210,339,952,605,022,169,069,775,638,778,283,468,
749,668,426,917,949,768,474,112,129,002,354,922,047,067,438,501,493,720,373,
492,119,566,362,867,856,234,380,051,551,868,004,369,883,207,040,129,595,788,
974,519,126,026,389,931,676,865,042,714,890,538,163,933,277,255,042,452,061,
168,848,166,636,715,897,366,590,231,000,534,311,471,498,963,346,992,835,312,
462,639,455,555,226,702,221,868,110,116,173,453,411,923,092,311,490,195,503,
311,628,581,407,533,129,672,752,490,918,627,812,468,157,837,967,813,352,174,
811,633,212,765,981,255,000,416,513,751,149,528,884,682,717,328,119,152,234,
146,362,970,186,025,568,372,886,263,095,107,117,333,500,854,951,163,601,304,
472,231,880,524,216,326,771,561,349,101,223,113,574,940,589,540,157,850,877,
220,160,447,451,761,808,824,855,702,597,260,935,537,752,987,021,403,191,266,
863,352,641,406,167,568,015,323,148,573,705,831,900,294,358,477,073,015,964,
447,191,688,201,283,483,595,753,759,352,999,459,930,812,008,529,401,607,141,
736,287,166,760,300,953,321,674,455,932,870,136,059,619,884,182,280,677,629,
446,068,050,811,523,571,356,543,425,999,571,970,703,677,344,325,250,428,087,
945,899,846,567,793,246,431,930,775,328,543,372,916,912,721,972,907,917,989,
556,811,295,048,869,696,196,223,939,155,883,083,958,719,642,583,280,693,708,
774,615,375,394,624,744,672,821,348,109,819,555,706,394,923,666,665,185,991,
016,596,281,828,996,861,584,886,203,142,588,417,964,100,933,445,313,546,047,
441,301,984,597,004,119,381,582,986,065,372,235,500,816,063,389,648,724,522,
887,113,287,055,133,210,758,248,184,750,113,570,859,107,976,310,270,251,181,
647,902,320,327,343,126,197,476,097,787,932,662,412,526,544,590,636,972,616,
952,073,478,214,220,497,539,972,258,146,628,871,439,637,994,738,378,080,865,
562,324,140,241,161,212,327,244,451,828,306,741,108,742,385,867,835,233,527,
525,173,766,238,404,259,130,580,154,228,389,576,742,251,687,500,796,100,214,
488,080,555,053,538,928,166,721,884,584,605,719,684,494,617,784,506,426,468,
066,381,472,808,265,633,264,426,063,931,081,242,267,019,493,226,758,831,447,
007,362,566,443,043,091,588,411,374,007,925,269,563,208,535,104,268,845,265,
912,471,837,974,594,091,056,620,662,162,634,855,129,452,533,430,614,993,585,
599,935,808,182,673,917,233,038,193,733,675,642,508,376,184,273,991,975,660,
630,226,309,574,442,403,865,982,037,272,965,202,037,108,322,965,275,494,959,
268,701,085,423,744,662,209,065,275,967,289,979,305,761,315,675,261,015,415,
256,209,850,505,982,427,351,742,676,891,113,827,522,448,970,782,700,314,773,
968,107,006,922,921,723,676,886,522,674,124,676,665,872,665,428,549,252,453,
513,016,438,651,046,999,496,749,857,060,434,241,560,483,503,503,240,293,081,
476,985,436,555,014,550,132,147,117,464,678,915,761,908,262,063,693,202,816,
985,965,724,092,851,108,526,382,093,175,973,566,177,606,925,148,127,988,740,
921,258,400,692,195,589,072,097,620,134,771,646,830,485,354,909,151,427,695,
834,720,027,910,785,782,895,869,097,577,683,817,206,812,679,334,857,313,841,
840,118,383,924,620,990,407,587,676,241,290,445,248,387,056,272,916,431,863,
442,755,991,892,902,017,940,597,991,535,644,091,659,186,183,820,481,415,588,
004,231,962,555,219,475,212,663,432,036,707,478,790,058,219,089,413,893,502,
611,884,871,023,868,363,675,089,002,425,867,414,494,566,937,818,877,936,765,
868,173,955,018,102,482,538,558,386,309,184,032,858,285,394,143,137,978,516,
952,300,071,499,053,962,934,289,282,040,508,957,669,015,530,633,726,921,614,
173,055,101,555,001,393,663,155,814,242,142,453,099,961,178,765,744,994,631,
649,410,695,060,659,519,943,048,916,188,469,388,779,148,005,723,949,908,918,
761,052,945,241,391,876,194,805,679,607,570,734,429,387,808,892,371,879,903,
329,103,257,842,769,107,803,817,227,704,793,014,573,403,401,168,793,926,231,
942,408,285,158,833,954,223,181,948,567,751,982,064,555,430,847,061,567,016,
435,795,109,321,367,143,350,051,519,898,001,567,592,685,533,998,663,768,644,
443,704,026,595,422,046,982,843,219,701,921,828,868,464,828,714,681,943,723,
378,895,456,027,756,688,062,689,372,268,434,544,889,844,920,512,741,259,345,
740,200,931,262,483,942,145,755,482,799,172,693,678,421,323,573,108,654,394,
899,849,975,053,343,161,387,392,840,979,757,560,901,018,693,118,386,915,020,
735,172,431,745,237,357,650,303,184,929,192,640,284,581,329,068,805,011,725,
908,664,579,647,461,230,337,509,979,054,646,011,815,085,685,316,571,729,565,
452,822,932,402,651,988,062,205,592,090,507,908,518,356,629,896,953,955,725,
088,720,076,121,030,066,197,780,474,628,340,100,017,923,357,579,986,367,279,
088,195,770,651,707,580,682,010,778,386,657,480,304,470,410,827,287,718,093,
817,826,177,145,401,346,971,514,204,259,239,822,112,856,151,666,619,962,614,
242,052,858,840,751,320,509,972,003,636,915,733,602,864,966,520,446,743,505,
451,465,277,082,648,421,960,609,581,514,659,110,617,932,406,730,358,299,333,
140,222,123,426,060,243,394,654,105,534,551,340,445,941,120,061,889,393,700,
843,927,765,937,038,916,592,103,286,141,378,341,276,396,569,705,352,064,953,
760,949,749,761,973,403,292,364,047,234,729,270,946,894,670,120,209,967,808,
486,125,945,511,128,460,136,224,372,536,719,460,327,579,326,376,397,780,546,
490,686,301,266,125,332,214,433,891,719,016,600,830,910,122,102,833,807,984,
431,405,724,740,820,889,376,654,545,085,518,967,625,625,510,371,087,023,168,
857,814,776,935,106,229,915,471,815,305,153,403,519,860,357,515,134,321,093,
947,353,321,384,893,120,658,246,337,289,981,955,778,325,688,818,060,287,411,
233,663,645,445,291,877,766,663,578,206,890,150,242,416,246,118,871,731,692,
486,749,689,923,510,866,054,493,321,893,558,093,772,141,348,800,295,037,362,
145,716,870,052,173,894,633,166,465,854,836,066,256,006,700,595,431,998,401,
879,690,718,696,114,537,215,474,115,906,438,111,927,484,993,745,573,850,106,
232,736,760,928,873,770,089,247,811,220,035,713,791,770,196,772,823,505,530,
928,843,019,575,582,843,248,828,452,161,792,330,356,179,402,093,909,981,639,
785,767,938,992,979,243,439,560,682,920,479,256,734,307,886,030,903,489,828,
973,522,093,083,241,139,539,822,091,193,464,452,595,956,244,948,978,725,826,
164,451,670,085,410,194,051,514,961,242,794,176,069,728,486,673,282,557,853,
505,212,229,108,071,132,838,696,835,719,904,265,014,150,753,328,761,464,341,
968,916,377,423,871,844,052,527,662,218,654,969,690,177,875,624,964,488,138,
759,641,242,402,540,530,328,667,726,555,918,963,662,096,782,885,615,140,482,
014,096,474,313,713,523,902,249,774,527,611,686,738,388,021,832,237,109,995,
987,426,766,679,102,054,200,095,197,545,095,607,747,313,184,788,701,649,182,
288,408,573,149,118,475,338,655,508,897,418,818,369,845,806,406,041,821,558,
507,513,145,609,537,128,573,380,532,612,725,121,894,873,160,462,463,365,794,
741,501,801,096,485,266,272,519,216,105,045,643,079,963,291,856,491,567,048,
476,393,510,271,571,481,342,188,848,116,996,222,192,322,652,365,194,532,855,
844,043,228,077,138,289,993,394,385,917,128,783,304,278,951,727,943,614,407,
716,554,863,245,571,907,563,038,736,283,357,382,142,789,673,268,971,382,995,
591,973,148,736,559,018,563,865,052,768,581,350,346,510,882,905,103,581,073,
166,431,139,078,094,523,016,193,037,838,727,550,840,065,031,353,665,183,007,
318,702,808,749,745,367,022,975,470,446,170,356,370,584,152,841,779,275,152,
146,794,332,145,493,649,470,306,430,964,115,371,938,902,665,239,402,673,785,
986,418,303,246,664,286,224,612,507,005,006,413,455,848,468,656,047,324,647,
006,411,179,427,713,173,873,742,351,581,789,663,908,699,888,354,369,642,070,
172,290,266,909,819,846,567,236,868,667,767,654,176,580,054,327,263,873,393,
258,369,621,800,762,800,471,688,240,189,414,440,437,684,721,432,508,492,819,
815,723,643,767,337,938,538,520,889,827,306,067,258,807,461,634,975,516,907,
761,456,324,820,677,017,828,601,282,274,304,534,998,759,723,569,024,865,848,
008,834,328,167,964,670,147,604,530,442,928,760,111,759,901,203,793,543,739,
179,671,088,934,715,289,691,402,084,691,346,658,657,109,321,971,778,207,027,
857,018,680,318,489,459,935,519,663,283,669,886,622,293,826,118,246,778,267,
278,331,626,779,481,426,870,294,155,327,821,561,517,547,692,931,826,584,505,
690,293,348,837,714,179,702,483,691,092,524,237,960,103,632,028,433,640,513,
413,345,541,783,809,394,782,979,192,309,504,434,101,054,181,150,828,938,211,
455,994,725,498,990,004,959,330,995,044,925,384,307,267,045,345,454,830,163,
825,084,008,201,123,308,863,754,315,829,910,957,727,341,396,653,151,622,582,
566,863,331,457,476,951,792,458,202,531,199,176,145,134,980,937,748,598,312,
026,048,046,618,681,439,402,897,677,424,380,578,978,417,916,726,669,900,340,
596,579,207,619,605,272,376,418,438,058,736,411,116,971,152,615,387,497,841,
996,364,945,257,376,944,159,148,086,600,155,589,092,303,238,681,516,077,028,
730,197,994,516,102,739,088,217,786,908,449,986,969,933,820,126,812,171,987,
524,284,895,596,831,193,384,042,678,623,441,937,292,185,071,738,425,146,404,
842,124,962,067,953,014,947,675,273,404,642,922,210,642,489,929,061,305,909,
574,537,100,070,791,637,857,200,974,060,020,691,739,600,942,644,627,606,374,
050,345,926,653,710,980,084,079,743,415,752,945,354,510,751,573,552,560,938,
156,515,048,513,335,380,841,575,505,531,593,939,805,663,667,007,127,522,389,
954,481,335,902,687,288,076,062,380,927,305,226,804,877,261,222,595,584,361,
734,098,526,261,358,773,921,823,616,179,371,647,826,579,093,170,547,797,812,
775,760,296,544,496,093,331,265,044,851,454,889,731,733,876,964,444,388,194,
403,632,775,308,028,819,605,961,165,584,218,545,885,750,277,205,263,372,951,
485,021,374,260,954,956,269,654,856,137,045,545,981,946,549,506,407,015,951,
957,907,671,055,712,615,589,652,688,624,877,296,877,134,823,916,002,067,554,
704,342,240,724,617,730,371,978,237,190,170,104,870,577,025,064,666,640,752,
715,638,848,740,960,157,071,971,899,964,007,956,727,442,679,682,542,352,281,
896,913,905,494,534,283,763,436,393,818,949,558,382,917,416,240,986,443,379,
483,166,207,843,038,495,659,691,604,364,305,018,721,483,286,093,666,675,704,
764,967,859,731,889,529,273,491,935,580,380,742,419,752,305,353,880,435,420,
768,568,692,906,675,865,040,526,020,312,497,522,276,730,483,959,389,431,925,
377,522,969,648,074,497,427,979,804,905,250,785,314,700,105,157,912,774,789,
557,016,374,341,096,729,310,501,943,951,091,374,992,550,555,660,938,353,204,
710,267,296,041,327,020,166,522,615,693,725,576,302,588,508,586,432,795,284,
506,249,682,230,470,040,253,891,149,240,511,193,758,172,126,534,515,865,883,
389,612,357,749,452,247,133,917,849,067,639,510,667,296,651,695,884,921,108,
238,361,239,232,737,969,402,916,396,421,975,214,125,452,405,796,438,268,714,
253,644,199,291,980,199,902,406,473,649,808,968,145,369,894,062,873,491,686,
524,566,360,459,427,579,305,609,787,302,409,048,940,166,799,149,900,499,183,
793,445,080,254,710,927,537,067,588,441,041,103,690,604,828,851,850,736,982,
932,445,742,868,035,105,698,783,624,537,985,315,379,202,138,430,824,746,797,
696,256,100,493,452,776,317,880,292,234,326,560,970,067,054,150,759,228,624,
244,390,038,921,171,663,734,855,791,469,868,362,552,453,166,571,576,722,269,
994,806,658,076,760,972,375,897,606,215,567,815,414,517,052,296,673,353,495,
920,807,016,187,772,707,756,880,098,126,814,970,945,114,050,035,977,244,497,
951,714,357,035,048,922,111,498,124,770,977,141,108,770,752,068,744,731,864,
447,793,643,244,107,241,024,998,030,054,020,593,513,874,548,627,321,028,450,
343,697,440,374,396,973,680,306,427,418,066,841,814,521,743,335,844,474,409,
715,744,320,758,803,030,664,474,096,010,140,705,580,717,457,661,039,919,811,
353,084,415,343,876,871,250,392,767,861,894,019,348,126,928,050,487,987,916,
549,268,937,969,702,906,839,111,608,324,761,672,557,130,915,424,399,741,208,
395,336,372,047,790,134,409,570,153,657,270,516,676,288,824,228,136,285,275,
271,459,505,226,839,960,036,225,701,412,465,045,119,067,865,541,777,864,860,
516,107,602,154,373,201,176,844,820,329,537,465,426,419,001,164,292,189,983,
884,377,305,090,842,850,010,194,501,222,272,437,231,896,958,334,069,410,482,
113,259,213,128,751,645,965,675,102,943,243,259,851,490,167,705,732,785,561,
366,351,105,275,975,208,169,390,999,282,761,683,635,156,166,284,944,445,915,
197,253,838,363,638,892,988,953,219,917,040,135,214,156,550,320,179,272,817,
992,016,393,451,555,393,588,386,757,356,820,036,954,450,048,412,498,904,206,
844,343,064,050,157,673,469,438,759,690,996,855,041,509,567,270,619,528,920,
258,596,482,488,909,399,334,223,269,442,623,167,503,901,812,715,237,702,733,
891,880,919,092,699,903,533,344,588,412,266,119,140,517,596,300,648,360,115,
627,266,795,008,356,301,718,031,009,613,729,008,147,825,402,484,983,725,944,
032,756,681,821,476,719,297,827,340,729,616,444,565,118,290,160,010,856,590,
024,882,818,324,831,821,249,174,788,221,966,200,266,439,972,359,095,129,953,
218,217,432,628,491,252,034,996,554,448,832,937,900,592,880,440,890,415,700,
925,078,929,516,547,325,160,215,367,710,588,091,736,291,890,532,008,361,757,
068,328,301,927,903,956,607,897,941,179,050,291,541,220,323,319,192,679,695,
342,479,396,790,367,974,321,689,789,722,284,493,504,102,736,021,480,470,025,
431,967,643,276,311,869,001,013,563,099,032,670,759,880,654,714,395,925,699,
032,556,824,360,623,385,881,662,520,695,112,852,233,013,263,928,363,915,171,
500,718,566,440,739,742,042,785,081,458,488,888,805,693,443,489,071,193,561,
664,712,785,017,243,531,520,198,535,437,995,510,509,013,211,358,460,237,158,
284,310,713,078,710,542,869,381,658,007,046,912,416,373,269,497,212,607,647,
986,723,115,882,537,754,640,065,670,222,883,225,938,329,582,027,631,757,107,
021,689,795,078,788,269,902,112,186,843,767,820,243,924,324,980,748,774,970,
066,082,617,836,988,685,568,342,361,367,889,490,035,780,427,575,259,177,092,
825,730,134,738,213,299,569,128,816,727,604,362,025,732,959,713,837,901,659,
476,886,273,911,402,377,820,437,409,946,944,619,682,004,726,976,924,782,948,
685,828,093,568,674,317,802,673,128,084,602,963,924,839,910,927,409,296,387,
750,588,202,210,242,765,625,128,548,258,850,867,894,712,624,390,459,571,135,
061,927,236,493,425,929,337,134,337,690,914,493,299,307,584,186,575,025,107,
495,835,566,293,250,115,871,863,096,331,105,838,365,225,130,015,010,818,254,
499,785,128,131,350,134,046,038,183,376,936,734,258,862,165,639,256,906,587,
632,241,564,286,909,452,702,160,159,165,828,430,410,322,819,057,154,936,083,
278,172,549,095,820,117,869,772,616,478,660,978,766,179,888,055,166,453,620,
559,477,617,496,203,451,982,795,591,470,757,101,782,630,755,503,985,308,530,
168,749,451,702,056,081,675,583,677,347,841,471,818,354,812,347,113,976,663,
752,421,059,658,328,335,956,921,619,197,449,020,170,778,378,046,886,866,790,
213,326,295,968,900,812,873,965,953,870,028,980,838,496,492,270,383,999,759,
030,402,612,644,954,405,164,602,910,713,295,711,947,834,575,432,461,873,638,
519,212,386,314,165,362,120,329,199,341,731,720,479,871,052,527,394,968,321,
994,197,431,780,483,616,334,453,958,499,173,557,732,684,264,344,479,339,385,
360,767,858,065,981,556,410,927,714,612,122,677,810,262,342,445,025,478,400,
631,757,310,125,587,446,780,631,444,904,530,421,667,667,482,744,509,004,216,
380,732,867,151,969,286,131,511,636,660,135,380,181,531,603,611,175,142,302,
047,476,993,429,072,448,994,611,485,392,640,652,747,210,572,653,369,410,556,
583,687,879,365,606,609,463,543,436,915,916,882,025,255,121,315,537,437,264,
621,853,981,040,664,218,959,081,061,601,992,668,567,708,102,448,993,958,205,
794,990,945,343,099,039,492,084,395,210,457,889,462,987,508,456,978,731,135,
853,093,298,950,612,639,734,996,844,784,742,304,466,275,687,409,852,669,294,
349,683,555,539,253,233,771,050,905,355,353,425,178,334,923,182,183,185,154,
267,539,940,609,143,413,897,034,763,260,737,321,168,101,823,483,334,851,258,
101,187,627,375,674,578,358,259,138,459,568,194,627,706,190,865,877,003,340,
776,926,418,894,132,351,687,067,311,508,666,086,583,980,542,714,135,025,285,
192,280,037,677,087,770,502,112,255,176,331,716,029,896,728,361,163,461,248,
605,031,655,988,843,349,083,391,906,425,598,288,913,268,275,890,205,241,594,
840,130,297,524,958,668,326,684,250,239,711,500,978,004,132,286,066,183,145,
950,246,687,860,100,477,927,275,327,292,121,859,214,124,066,298,426,337,224,
842,676,701,413,019,488,842,164,767,606,459,747,335,352,306,495,078,080,252,
707,829,353,710,199,446,631,536,863,621,691,626,076,638,931,931,373,314,390,
543,616,624,902,192,224,420,636,806,847,511,865,202,769,920,651,904,331,771,
660,015,428,582,886,654,952,478,791,184,945,646,661,992,432,958,213,419,026,
131,591,508,947,848,716,272,894,374,351,145,473,071,801,618,917,500,643,908,
804,519,037,628,931,351,940,136,958,187,759,600,036,335,135,525,503,134,402,
333,899,081,670,389,772,194,485,149,160,382,168,671,985,547,976,583,557,701,
263,563,074,377,502,467,725,548,129,688,780,253,388,608,689,443,457,694,870,
104,312,350,294,329,334,567,294,909,409,847,943,682,803,781,042,568,744,645,
712,121,269,222,906,610,754,889,981,514,651,648,090,044,007,564,704,887,831,
991,462,550,099,156,497,129,812,046,158,014,448,124,327,161,615,501,284,793,
342,144,216,706,711,714,055,884,964,915,945,497,428,632,917,545,263,133,114,
740,894,187,419,767,686,727,810,317,987,740,584,443,977,786,614,219,692,763,
803,688,667,175,864,767,796,111,442,254,020,864,511,824,306,025,563,567,204,
571,381,789,852,398,058,166,567,472,118,846,847,662,980,034,282,454,198,768,
133,434,919,880,594,552,844,719,370,728,992,546,424,873,301,538,327,526,150,
474,181,914,732,611,832,463,292,587,777,177,323,044,973,538,447,544,482,690,
224,802,851,749,136,676,605,397,885,357,356,600,740,548,142,317,323,674,522,
809,193,897,472,754,558,092,611,676,110,413,777,171,035,271,411,058,145,934,
756,328,923,783,079,836,096,255,102,346,605,441,470,160,594,732,251,161,424,
786,082,006,657,461,949,246,533,761,791,344,848,743,653,456,379,424,610,639,
133,297,461,760,795,325,441,649,168,239,462,807,999,932,463,236,982,825,516,
122,045,597,353,327,465,570,261,694,560,885,070,542,509,266,174,947,814,709,
190,428,083,947,629,932,616,977,426,799,579,774,734,062,728,372,301,201,315,
788,965,762,975,000,573,896,796,776,740,754,915,812,294,557,964,942,920,510,
210,503,516,501,639,527,240,456,500,804,296,092,791,266,280,480,545,092,494,
905,136,387,678,119,738,141,616,350,169,518,906,056,295,735,521,806,072,469,
128,343,890,317,140,789,771,814,163,050,832,932,706,405,413,360,861,308,692,
601,984,999,000,957,933,820,376,445,191,792,643,518,424,509,473,065,780,549,
021,597,847,594,278,318,262,396,042,627,854,345,087,856,464,471,876,209,889,
197,479,613,986,656,076,458,785,885,562,487,385,661,759,803,543,983,936,816,
540,672,171,142,651,554,476,511,172,743,230,534,225,713,778,965,845,850,954,
421,510,857,986,851,409,507,671,369,431,816,169,991,130,113,524,098,524,340,
819,345,854,372,026,373,892,998,512,142,342,882,253,016,437,519,583,647,493,
581,286,553,763,894,863,820,122,317,311,380,963,612,205,155,446,040,839,848,
245,576,794,614,778,630,439,069,866,799,678,175,501,327,247,322,186,756,981,
923,712,349,687,684,876,709,924,070,589,847,390,191,876,657,474,064,517,079,
958,817,006,023,007,291,052,486,789,827,084,041,521,813,365,642,589,045,087,
908,550,476,155,247,938,509,997,625,364,461,687,010,767,285,718,722,794,998,
640,278,944,366,423,259,473,018,504,459,464,960,842,900,628,468,167,573,969,
523,867,416,119,210,239,460,897,894,594,901,335,367,646,975,841,674,781,493,
703,455,161,660,216,055,887,573,604,491,033,936,685,567,764,995,261,369,402,
121,833,927,494,100,461,177,160,685,180,704,035,262,158,956,434,313,895,699,
778,044,218,802,385,089,395,800,808,650,259,514,894,115,193,820,560,916,759,
798,282,757,047,855,373,282,604,575,026,831,660,594,566,392,220,996,042,524,
750,334,106,581,084,951,226,404,685,885,466,928,737,692,511,999,201,402,505,
024,052,860,127,144,431,180,230,271,871,090,686,312,131,998,178,135,044,877,
794,384,636,880,343,589,599,110,972,743,956,034,074,874,183,342,811,081,915,
381,658,380,149,572,271,672,973,709,857,486,477,606,596,240,096,586,808,623,
578,927,616,688,035,483,048,456,861,992,770,681,414,095,466,966,144,137,189,
650,458,777,615,439,426,740,723,167,503,928,481,696,712,503,690,832,667,286,
662,775,345,869,829,834,734,438,160,586,023,651,982,503,669,291,311,351,326,
631,165,596,667,611,568,109,468,035,414,698,639,716,260,177,270,905,680,070,
212,075,085,761,587,145,268,759,022,815,980,188,244,771,096,477,226,622,126,
616,241,157,064,754,266,834,379,542,815,784,078,316,561,746,386,923,238,112,
979,420,990,387,152,438,854,007,663,495,711,900,040,218,820,521,824,240,899,
472,511,476,218,354,921,501,154,247,471,915,725,786,108,829,575,400,941,268,
993,475,653,189,232,945,827,567,363,368,831,219,485,189,171,398,158,144,841,
908,346,777,371,373,947,344,902,699,569,605,560,532,461,448,845,205,863,775,
131,377,930,456,024,649,637,421,218,938,894,858,992,609,644,938,772,411,266,
219,291,100,472,453,365,669,589,062,084,559,970,886,115,577,164,497,222,608,
617,496,704,557,045,855,155,094,027,388,459,265,518,386,011,429,555,401,040,
927,788,663,160,228,377,113,525,193,447,216,964,080,790,292,457,321,228,384,
099,492,266,090,648,808,186,393,908,076,355,529,977,403,951,889,549,193,148,
676,136,781,275,281,492,917,820,984,075,779,462,834,246,198,704,072,716,156,
343,818,855,559,750,197,379,093,326,334,845,807,478,919,590,338,378,718,334,
717,732,837,560,368,390,685,319,039,677,107,386,795,138,160,505,484,457,400,
645,808,329,809,140,704,516,216,153,151,989,898,707,900,743,208,473,646,690,
932,485,785,111,001,485,956,973,561,762,160,449,331,536,961,777,417,475,375,
356,156,306,519,261,146,153,395,486,310,032,146,395,011,573,815,653,218,020,
520,951,066,907,315,705,011,387,031,496,025,614,033,997,234,162,340,665,373,
269,021,484,801,665,151,296,794,140,265,519,235,716,836,555,889,902,686,156,
759,833,100,589,253,079,654,030,654,080,494,222,202,096,084,339,110,479,668,
239,287,907,424,926,543,002,587,523,092,193,317,496,866,600,287,732,566,739,
030,847,501,939,999,502,341,096,200,897,194,402,348,882,065,789,023,966,649,
488,734,486,261,621,971,075,454,898,376,348,820,311,474,703,467,054,885,090,
862,255,234,337,230,794,972,798,447,117,789,046,462,018,893,786,314,619,763,
865,757,818,337,209,074,388,259,528,738,465,330,675,522,084,452,074,643,342,
272,350,814,998,247,240,468,285,368,262,381,320,908,471,759,047,818,059,817,
623,732,567,452,281,894,307,840,079,618,832,769,955,633,247,235,813,720,188,
148,370,718,963,752,795,199,296,638,651,471,479,965,313,837,903,642,199,387,
838,078,724,634,445,525,623,988,766,462,313,769,439,627,663,760,883,050,086,
738,372,238,805,262,816,308,835,069,259,835,129,934,871,577,524,826,918,640,
701,309,834,688,589,931,907,620,813,235,436,387,358,585,931,977,911,231,574,
750,383,596,381,755,063,953,474,478,254,765,300,748,012,932,032,549,603,952,
873,324,542,163,019,973,223,333,625,197,205,343,239,582,748,360,554,279,940,
661,821,133,323,073,360,051,613,605,658,886,204,569,348,530,504,664,181,332,
538,808,161,147,180,773,432,491,010,686,347,855,036,092,083,970,903,149,827,
687,506,825,103,908,138,492,985,916,082,950,963,688,720,569,740,257,761,142,
605,031,929,160,482,403,657,828,424,439,023,451,141,800,852,006,091,229,318,
000,267,153,001,004,016,832,563,947,717,754,690,010,734,357,140,316,361,838,
245,197,343,663,295,943,080,029,984,741,643,434,651,224,999,494,533,857,775,
984,039,244,699,350,080,524,079,745,076,149,702,167,415,568,388,108,332,181,
327,345,424,122,341,476,071,478,214,051,462,790,272,258,976,194,692,269,276,
663,256,545,392,991,177,146,045,275,798,998,490,713,577,456,797,279,833,434,
945,589,649,628,277,196,366,140,161,620,322,428,160,403,589,271,336,054,862,
733,618,437,891,457,997,264,037,476,966,275,323,872,564,622,252,421,208,828,
247,382,470,996,021,499,257,817,033,701,027,104,688,926,401,570,151,675,796,
837,452,628,896,439,542,657,861,678,129,855,856,087,201,517,484,211,484,807,
781,195,767,296,294,247,176,646,092,388,701,084,723,891,489,339,538,923,034,
703,688,770,561,306,160,434,128,326,016,864,030,769,566,235,981,231,075,642,
494,401,334,447,307,836,402,341,274,198,078,894,486,513,150,862,168,356,114,
397,624,551,628,630,192,782,803,003,501,245,802,337,902,172,425,515,785,606,
306,931,626,286,832,120,338,915,256,339,862,541,263,925,701,435,859,640,936,
275,865,693,509,866,834,161,153,459,280,636,089,124,408,117,916,877,677,439,
534,289,142,210,979,375,891,170,913,965,686,465,503,322,006,330,472,472,537,
145,643,685,699,811,232,041,191,747,973,860,361,055,971,355,877,823,755,377,
220,949,347,145,295,472,880,432,482,320,609,310,763,824,450,330,702,883,503,
955,357,310,005,856,351,999,127,897,673,473,932,710,262,664,959,247,246,823,
168,704,609,739,722,303,495,985,274,864,109,959,762,847,052,691,565,682,760,
194,178,551,611,318,102,552,771,202,405,770,324,816,422,559,687,121,077,421,
608,293,288,739,375,162,018,586,805,400,692,556,450,148,906,702,387,622,725,
515,397,361,002,955,739,237,362,523,543,719,145,456,775,266,567,567,701,874,
482,589,028,874,068,623,454,377,882,684,212,229,109,448,188,915,778,572,311,
538,894,189,535,696,609,510,016,017,073,365,324,679,360,907,934,092,865,375,
061,825,502,719,739,648,272,966,534,444,167,910,290,947,749,722,574,223,392,
686,763,639,180,254,379,394,802,267,695,658,317,903,894,221,768,826,909,662,
104,195,563,668,906,799,511,006,901,630,088,355,734,465,039,630,686,657,744,
817,107,280,458,206,584,879,771,016,750,771,363,338,885,528,972,461,844,511,
445,749,215,567,983,775,319,316,759,429,915,404,276,600,495,711,233,070,441,
067,662,351,200,831,171,688,010,484,491,356,668,655,761,278,860,327,351,907,
941,900,171,166,925,931,708,466,627,017,917,033,730,972,171,090,875,609,728,
794,027,049,179,718,293,553,988,617,977,979,021,213,565,438,700,720,948,638,
040,357,152,944,329,567,055,662,961,016,316,522,913,030,793,006,424,767,893,
934,152,634,466,906,648,348,202,130,782,371,427,582,395,304,960,220,844,012,
200,563,146,210,559,723,703,494,007,892,537,964,399,308,584,592,521,290,467,
112,702,528,436,037,297,149,939,387,441,865,104,906,224,147,632,903,289,340,
174,786,906,325,138,752,774,657,722,348,189,402,750,424,155,223,720,033,614,
804,478,402,632,227,519,317,867,814,643,163,295,037,330,845,340,623,607,979,
605,889,837,387,800,279,534,967,283,736,273,829,899,135,789,834,143,086,100,
067,618,969,729,757,341,450,552,893,842,797,801,139,329,496,244,942,769,172,
430,746,739,112,838,291,574,490,747,322,620,573,495,331,063,991,792,384,505,
863,763,515,563,678,677,502,915,323,521,409,937,029,801,950,804,150,954,796,
543,724,355,540,121,824,140,517,901,138,414,355,095,567,286,933,100,016,837,
871,562,252,850,757,490,233,165,594,770,586,586,702,431,662,904,122,635,229,
416,196,462,313,983,213,909,614,894,540,289,993,055,295,537,654,375,115,944,
895,153,124,835,366,683,027,278,821,948,665,804,036,709,710,132,610,915,758,
921,792,982,429,314,607,592,377,389,628,477,890,060,705,741,792,122,175,981,
808,915,150,190,009,975,339,085,980,865,241,780,161,986,078,329,943,774,043,
780,730,009,581,719,706,894,044,082,665,981,717,548,254,113,990,769,695,525,
433,097,220,728,897,164,065,401,294,617,200,209,803,639,705,111,622,568,953,
536,034,859,726,007,137,563,351,881,588,314,742,192,131,018,474,308,707,046,
989,530,754,353,994,152,704,408,376,176,934,645,474,403,800,392,393,813,093,
441,057,517,200,675,844,323,537,246,371,309,571,006,387,039,916,400,768,227,
964,184,169,814,033,070,960,671,459,713,406,782,951,556,140,298,990,706,113,
494,445,021,873,170,055,834,681,887,903,866,164,945,595,790,258,098,464,626,
614,792,061,695,243,374,379,838,768,726,430,606,790,154,332,852,562,408,905,
356,760,159,162,135,505,364,113,797,893,956,429,445,520,660,112,641,960,879,
470,450,328,893,940,731,730,877,519,708,452,148,195,413,245,892,154,612,355,
332,166,273,519,704,326,141,444,839,885,787,368,565,034,335,238,236,724,468,
560,861,738,788,966,646,060,093,511,562,951,175,640,020,311,363,125,982,004,
007,026,961,014,255,538,997,011,305,419,865,114,894,219,363,157,814,742,344,
053,190,841,138,349,927,269,149,455,976,783,338,062,479,447,355,287,467,720,
845,864,985,393,992,570,300,440,361,111,750,032,823,899,657,666,657,455,705,
922,875,361,081,036,969,202,702,464,548,181,846,622,497,651,594,690,116,392,
038,935,223,843,229,749,744,465,715,844,978,034,980,430,851,469,767,284,107,
419,416,351,944,531,506,245,462,239,391,297,457,195,222,623,404,468,938,965,
504,821,032,024,317,087,423,758,924,279,737,142,658,174,246,102,215,478,317,
408,651,933,615,523,853,211,881,388,909,992,915,443,482,713,682,290,051,081,
383,812,654,592,628,759,123,199,895,256,226,725,403,792,384,055,329,275,593,
909,383,502,865,360,987,482,162,441,125,990,592,021,184,060,603,658,871,885,
510,388,194,935,431,086,346,512,800,909,018,409,708,517,643,633,813,558,496,
517,963,372,813,483,782,723,482,863,746,491,632,863,521,030,731,906,336,795,
653,048,190,690,438,075,625,645,041,968,738,633,385,476,601,348,811,090,716,
192,972,325,022,683,197,292,043,509,991,303,334,552,687,484,825,600,670,032,
658,695,550,002,794,701,444,107,842,400,132,053,806,095,847,353,192,980,549,
787,499,978,063,351,138,424,281,749,042,251,685,750,375,230,171,289,991,710,
660,608,452,666,957,363,941,646,924,694,824,269,259,004,766,396,186,794,671,
703,363,178,493,418,736,153,064,147,642,299,282,544,777,391,052,086,751,793,
178,227,404,733,104,831,666,407,775,400,753,595,414,030,802,307,951,068,813,
358,883,236,527,705,452,801,940,409,226,680,793,909,474,180,679,880,553,078,
949,345,687,734,799,425,246,405,171,401,976,508,574,660,102,970,597,463,018,
803,520,343,567,922,726,704,583,530,066,500,151,201,122,190,154,527,478,878,
027,258,725,165,355,292,255,759,724,787,160,001,953,465,473,685,043,174,142,
402,820,358,154,370,850,737,121,232,910,422,367,774,798,551,042,678,833,876,
129,180,361,118,911,129,696,237,669,145,457,950,357,164,802,550,298,760,249,
331,783,301,670,952,818,673,106,626,845,343,416,083,453,969,800,945,741,809,
833,469,973,508,718,949,342,214,948,780,421,775,921,727,844,165,642,733,548,
109,654,704,816,998,040,605,433,041,878,318,549,992,384,509,060,158,815,275,
336,722,400,215,370,675,126,186,750,324,093,354,432,359,747,784,846,611,372,
438,108,799,737,167,740,976,550,878,378,123,250,899,520,077,022,617,874,429,
393,412,649,349,795,787,180,724,411,801,085,146,898,641,965,034,098,449,770,
535,182,958,215,381,310,437,696,781,549,502,881,237,025,229,664,362,290,069,
278,529,604,198,965,868,008,966,294,493,457,603,478,542,251,760,312,185,300,
902,150,853,392,620,843,349,725,341,532,874,571,916,866,449,648,300,131,047,
276,904,078,721,435,565,482,757,174,332,404,941,716,279,837,833,143,274,329,
560,865,959,472,851,549,233,342,663,616,890,035,365,675,290,167,846,837,976,
828,043,096,400,587,453,935,518,029,496,533,548,860,877,500,434,208,801,396,
072,472,391,961,513,444,558,988,797,709,189,780,068,591,379,177,720,800,660,
857,867,531,715,640,894,425,353,782,107,874,709,089,871,278,956,459,598,967,
331,709,172,468,478,379,006,222,391,581,014,016,876,749,215,956,226,641,950,
551,757,182,489,344,094,119,762,437,804,784,858,601,709,025,672,963,466,119,
609,054,033,038,030,564,518,375,214,111,648,053,383,326,375,912,141,518,495,
425,785,330,503,725,456,242,201,604,223,342,527,513,508,343,600,710,702,409,
132,903,628,752,897,442,202,630,744,754,382,686,136,127,145,084,414,752,929,
095,848,073,974,585,600,363,930,216,260,330,435,122,833,095,262,925,710,223,
450,844,803,457,925,630,238,697,710,890,475,261,739,177,146,588,177,029,053,
021,449,219,994,765,510,106,132,990,237,022,809,089,483,943,250,104,974,643,
794,986,084,682,125,039,019,118,106,868,288,435,027,008,674,773,797,606,253,
629,562,734,833,222,110,495,994,040,353,500,093,011,663,951,199,251,339,771,
682,296,418,454,841,880,413,474,832,920,870,913,679,297,891,649,905,748,529,
504,397,842,620,319,009,415,758,412,173,972,682,354,120,238,757,362,469,600,
935,789,891,032,387,273,605,019,996,014,258,240,763,021,489,733,772,000,187,
409,480,039,490,192,199,849,901,992,752,070,652,596,166,146,346,167,992,312,
256,414,089,961,054,912,510,955,255,184,332,309,805,317,285,698,565,270,727,
205,867,304,270,952,411,111,496,298,392,280,882,417,062,210,489,829,886,192,
620,838,100,434,371,198,267,292,043,266,055,922,096,101,581,074,409,100,395,
055,560,662,589,835,514,478,266,164,592,790,320,794,793,878,176,889,697,766,
590,041,343,780,161,338,317,101,866,077,758,057,440,447,150,971,100,796,376,
145,768,608,143,662,888,757,255,469,604,441,092,542,871,748,966,002,416,238,
722,459,774,521,595,968,660,148,826,220,449,119,555,535,271,545,800,520,028,
826,913,032,125,487,119,897,779,959,078,997,647,955,654,547,539,007,419,855,
855,201,968,172,783,712,114,031,611,289,606,085,879,786,221,123,710,273,301,
627,654,368,850,712,374,407,826,232,334,725,505,605,524,130,091,736,670,678,
366,562,634,408,225,901,346,850,151,496,736,352,845,551,199,620,755,146,390,
998,641,746,012,418,382,884,062,946,836,112,180,879,557,208,903,027,796,961,
109,483,652,957,345,437,205,434,940,685,896,079,375,390,914,110,411,181,608,
084,704,381,549,710,052,765,337,170,920,637,804,160,966,573,800,789,384,015,
876,702,959,848,135,099,681,821,831,338,701,326,220,211,462,417,258,773,791,
279,501,739,103,060,472,230,841,336,533,847,549,380,591,871,050,292,780,242,
107,739,434,684,906,992,014,741,498,322,366,322,949,561,623,508,935,742,143,
483,553,407,322,838,495,418,984,970,446,810,467,376,694,076,012,160,391,989,
638,523,095,809,810,495,551,734,763,140,114,156,889,933,324,453,273,350,762,
527,281,334,416,262,207,147,410,450,734,161,687,845,317,407,953,377,957,960,
904,682,822,489,181,195,365,634,391,460,679,872,202,652,969,384,305,310,021,
035,006,720,064,856,081,424,641,206,931,007,904,123,071,981,960,628,746,163,
761,244,113,291,568,611,626,709,216,475,989,718,756,813,593,108,240,083,125,
821,929,098,058,399,495,395,683,598,576,287,665,289,822,076,308,264,968,394,
511,269,122,071,980,222,363,879,084,299,396,109,354,831,590,664,660,095,317,
691,116,786,458,650,076,848,518,576,068,467,518,183,782,763,889,006,004,672,
428,797,143,545,512,767,083,253,890,327,353,734,670,289,015,138,736,621,494,
677,972,833,025,940,978,928,845,451,676,226,624,532,858,743,396,286,180,436,
162,454,947,878,236,121,330,653,251,691,348,595,243,739,633,584,634,992,753,
842,718,717,805,983,961,471,948,353,003,898,755,089,720,666,232,247,944,021,
052,725,036,421,749,265,822,954,089,689,190,259,563,604,130,011,987,061,682,
338,953,642,858,492,251,149,114,570,506,245,046,480,058,914,066,785,648,388,
015,228,613,618,945,032,999,871,558,080,625,888,169,677,666,539,667,033,666,
523,646,135,168,535,777,965,894,126,630,003,355,891,334,404,568,333,104,327,
975,042,640,039,122,713,454,124,020,989,022,178,801,986,124,832,854,941,511,
731,650,122,657,053,693,716,512,505,631,526,110,219,380,372,447,603,684,291,
432,703,940,511,379,883,828,793,346,392,640,701,591,099,363,701,597,456,606,
688,280,057,388,931,490,952,671,497,798,212,310,411,894,245,246,755,263,710,
512,995,985,023,130,159,488,434,779,350,425,988,713,989,630,667,040,488,966,
633,500,472,422,216,005,941,467,365,850,938,058,486,481,001,287,024,675,426,
210,431,897,170,255,976,696,246,731,970,185,834,321,107,719,831,280,344,735,
553,856,008,084,322,421,355,677,620,016,993,442,155,691,128,181,710,897,370,
432,020,742,502,578,524,166,058,708,326,846,528,477,626,367,229,285,859,983,
050,492,167,518,150,781,864,024,948,525,645,667,573,630,107,768,829,347,277,
150,592,921,480,290,181,812,713,594,969,710,985,576,023,264,826,429,858,285,
265,540,465,667,348,384,383,831,447,010,174,594,280,545,192,369,880,835,502,
536,543,365,864,471,652,050,343,423,843,756,490,181,748,523,323,051,158,565,
328,596,200,077,113,523,913,224,648,375,384,400,898,144,648,644,939,297,562,
612,450,830,358,221,117,514,557,146,560,035,534,192,802,882,616,518,630,992,
308,260,883,969,550,222,744,060,289,394,011,733,759,562,684,666,130,501,303,
902,649,376,678,893,295,076,765,133,885,175,451,887,182,516,288,088,158,542,
063,355,241,004,763,684,026,381,286,864,655,647,742,713,700,130,540,562,540,
785,949,074,928,383,514,234,670,078,259,417,917,226,089,323,058,928,848,499,
846,560,995,272,018,690,939,343,510,712,615,246,528,051,767,189,181,664,910,
494,583,977,623,811,745,822,068,250,931,037,101,599,561,336,095,895,360,351,
602,421,862,424,546,233,998,689,896,756,854,359,057,487,968,948,137,865,448,
958,008,214,305,560,347,634,883,703,616,929,074,480,730,846,716,177,473,746,
910,415,060,582,832,463,050,045,428,923,900,812,175,966,317,444,950,522,986,
753,843,452,705,516,813,605,930,498,161,509,007,155,475,904,292,389,229,315,
261,357,594,296,734,400,507,694,295,146,487,201,563,600,576,073,467,345,513,
416,290,391,334,832,150,923,514,342,205,531,987,453,400,365,456,212,345,177,
042,413,251,215,177,909,012,025,601,712,967,528,158,190,947,808,781,207,518,
700,507,993,824,113,434,842,542,312,048,623,606,620,106,730,758,571,926,397,
440,336,457,371,406,219,492,695,600,151,766,524,269,247,932,998,736,002,952,
082,150,249,141,432,016,899,116,651,316,166,900,693,475,955,850,451,503,994,
402,293,529,966,829,904,599,929,734,182,898,306,170,380,262,483,986,386,568,
673,478,301,172,061,044,019,966,977,066,882,797,247,079,493,092,101,375,456,
238,995,223,544,320,063,477,120,027,159,230,909,487,762,097,049,944,142,762,
026,286,823,159,162,113,726,062,393,388,707,822,629,772,222,386,246,263,910,
021,915,058,479,090,503,387,493,977,796,681,838,223,109,499,659,159,135,832,
848,803,388,513,979,196,399,716,725,969,692,949,398,811,120,080,870,411,253,
660,463,227,444,243,472,525,820,813,800,766,970,249,952,461,927,811,640,172,
235,032,041,499,968,338,201,625,075,548,718,131,136,929,079,148,587,242,247,
692,956,394,285,595,645,709,373,756,074,993,391,987,784,720,779,161,734,061,
924,767,617,250,165,644,507,166,972,562,915,848,453,585,795,188,743,865,555,
659,645,026,807,020,737,256,965,207,794,767,219,234,006,579,262,748,385,445,
632,092,165,044,658,373,842,817,672,274,721,969,194,809,842,181,614,201,424,
202,656,230,033,359,181,190,369,378,913,962,695,710,366,632,561,634,753,425,
507,154,898,705,382,188,433,325,146,686,285,126,255,897,398,329,665,038,114,
139,494,255,048,516,896,666,750,555,319,231,182,748,605,564,622,456,717,852,
517,438,948,785,557,372,897,234,111,927,639,419,980,508,958,209,854,814,298,
028,589,288,171,058,419,199,191,974,097,677,281,590,062,404,831,989,615,240,
766,774,216,796,707,644,132,184,364,507,603,962,979,913,780,381,709,160,006,
175,042,460,442,874,605,045,691,315,438,354,789,652,595,096,477,751,281,078,
562,533,707,477,080,512,450,392,359,041,393,048,374,249,144,021,905,533,176,
022,113,078,992,436,385,239,973,075,121,483,037,680,319,244,091,808,302,827,
107,958,049,351,044,540,071,370,470,534,694,666,727,620,055,617,610,795,546,
986,318,074,526,733,655,490,898,148,034,852,994,740,967,449,944,234,281,259,
270,659,365,787,423,522,458,388,561,568,894,195,530,457,672,104,670,094,278,
613,653,478,897,160,292,945,919,149,145,882,692,814,723,037,508,663,139,753,
633,838,803,610,497,983,975,180,989,377,758,392,096,355,602,692,409,311,822,
852,323,518,619,064,944,877,977,580,593,033,472,975,970,795,507,545,716,695,
568,831,203,996,191,354,292,078,729,633,552,332,435,306,664,288,078,677,002,
147,190,808,346,311,382,261,723,051,458,203,790,353,785,556,804,195,682,464,
979,422,793,551,022,583,207,772,115,152,817,540,158,379,924,443,972,603,729,
728,174,048,012,302,008,164,408,962,223,954,433,831,467,137,716,358,620,486,
376,957,326,056,246,982,788,622,397,235,676,108,866,963,312,566,777,142,926,
203,380,995,129,116,999,323,523,969,877,938,815,229,102,263,162,785,620,640,
051,048,203,311,263,128,222,531,769,772,432,904,872,081,130,629,572,326,301,
754,107,772,301,361,685,505,160,758,685,410,974,150,724,809,076,556,139,855,
690,234,716,561,305,169,276,022,446,693,414,205,908,403,264,285,337,168,307,
443,908,749,012,590,333,233,028,861,606,279,293,935,106,676,542,569,262,527,
396,750,748,532,850,917,467,825,246,391,563,520,326,613,583,006,491,499,520,
880,383,432,738,017,590,411,139,114,531,052,033,338,939,792,419,926,937,143,
044,498,800,545,905,731,404,381,562,718,448,828,031,486,910,599,797,898,916,
137,304,438,789,763,712,975,568,004,650,333,340,344,631,424,495,094,536,221,
921,885,027,295,711,469,583,954,298,953,109,714,485,582,965,588,963,174,055,
453,732,261,798,633,379,786,771,310,245,299,476,154,533,198,332,369,932,446,
900,141,582,125,708,378,000,344,847,101,246,983,249,693,984,213,174,950,453,
059,224,035,244,864,326,090,141,121,813,909,724,147,441,627,586,274,056,560,
350,730,220,331,179,889,283,491,351,039,932,638,233,091,763,805,843,079,326,
060,761,713,069,845,153,301,739,077,116,244,256,143,264,751,614,158,183,177,
522,382,182,727,330,554,748,872,940,372,576,117,657,443,397,688,927,379,135,
673,952,873,228,837,833,461,818,188,680,861,197,436,760,976,244,020,690,440,
232,856,933,765,307,105,255,510,224,813,455,850,382,007,645,280,121,978,073,
467,591,866,426,713,494,646,401,897,920,007,653,041,593,501,012,271,689,202,
588,877,563,958,902,326,711,632,970,106,199,719,296,647,436,797,601,124,744,
875,978,070,772,498,286,693,461,074,826,832,253,747,788,603,010,537,235,562,
396,280,442,953,149,452,421,339,649,364,378,281,326,302,067,148,915,253,770,
356,957,842,861,977,160,992,657,103,062,964,254,857,938,566,310,950,734,401,
548,880,981,574,246,700,186,007,235,527,887,551,127,163,055,869,173,991,173,
929,888,634,066,328,417,412,591,352,346,878,563,213,110,981,054,837,417,253,
357,180,221,897,740,056,184,156,121,081,098,218,793,592,190,077,252,744,868,
043,643,932,851,024,598,995,798,278,811,332,979,494,684,880,032,896,185,221,
153,061,670,243,950,316,745,048,727,139,338,451,844,692,659,937,052,553,985,
568,205,136,651,484,734,699,253,595,529,929,950,279,012,781,944,408,715,430,
189,601,153,873,868,625,299,422,252,362,774,331,906,001,924,684,684,385,820,
308,962,026,276,203,310,434,122,074,237,312,213,523,426,004,097,549,841,885,
840,541,814,560,913,068,320,905,398,801,945,675,778,431,019,458,509,776,917,
029,771,251,600,447,098,937,484,421,066,605,728,397,520,712,202,118,179,988,
782,012,082,515,165,121,786,019,406,218,354,688,726,491,375,018,151,196,747,
556,121,199,148,949,433,477,341,486,680,502,062,805,277,747,267,137,644,870,
252,428,013,177,948,699,555,984,283,129,503,136,484,026,980,461,505,922,063,
516,737,764,417,510,098,379,082,193,633,052,208,926,192,879,753,591,169,791,
787,685,823,374,456,060,204,371,157,850,637,330,233,562,288,701,899,872,917,
702,866,454,870,797,214,340,390,381,451,432,369,428,726,965,427,752,235,284,
696,455,750,568,235,713,889,343,002,893,882,336,224,097,928,321,101,286,986,
549,588,812,493,921,289,663,425,655,282,692,638,871,516,587,697,555,402,433,
000,230,702,437,381,679,504,084,388,410,299,510,004,185,190,453,507,153,940,
932,503,027,094,147,765,906,946,506,073,613,875,739,321,705,723,796,627,163,
972,147,903,480,326,790,308,213,593,079,500,863,883,185,640,095,642,931,462,
008,023,436,358,226,314,000,576,295,318,711,654,338,310,016,946,745,873,170,
019,564,193,660,501,887,432,585,195,765,021,327,778,464,925,549,223,777,950,
983,987,851,199,148,815,735,891,089,820,129,443,823,796,311,163,326,809,098,
157,741,260,212,151,498,124,674,434,566,202,639,652,733,390,222,696,114,181,
950,320,365,715,589,684,070,732,612,594,940,944,152,242,797,722,481,038,948,
258,937,087,740,695,527,602,977,470,481,912,676,070,090,968,870,958,474,086,
543,538,716,916,067,068,626,998,877,243,223,760,617,253,130,655,664,795,673,
334,381,066,771,871,881,211,123,588,252,566,550,430,204,903,527,819,007,037,
466,744,357,788,489,580,303,915,503,879,523,127,200,665,663,230,480,578,843,
376,009,038,044,791,562,094,403,577,368,524,546,263,502,282,541,217,912,695,
545,541,634,553,569,877,208,382,089,207,539,365,534,473,936,573,558,936,772,
671,600,011,023,942,479,633,999,432,103,599,031,430,286,984,933,793,845,384,
830,487,555,461,399,109,210,396,179,093,495,174,869,507,657,915,158,448,163,
324,069,523,547,197,275,910,446,272,008,921,338,590,179,538,255,756,307,250,
917,551,139,902,107,478,321,138,115,515,278,445,804,824,839,399,949,824,396,
405,712,255,590,591,186,920,345,752,079,911,056,967,508,175,235,292,350,033,
198,112,698,148,633,214,950,043,233,352,764,341,546,694,159,498,943,644,490,
026,872,241,488,398,996,475,429,929,413,526,596,934,004,773,217,183,636,360,
133,930,334,391,669,891,593,354,183,021,235,509,047,915,611,039,507,933,709,
622,055,174,513,391,764,151,947,141,641,412,880,995,164,231,962,143,314,399,
185,767,567,893,056,252,301,266,473,987,102,490,132,022,642,694,948,705,401,
682,322,611,680,205,942,274,235,883,546,734,038,326,595,957,933,671,171,883,
489,177,294,725,928,747,877,396,271,047,094,201,585,680,483,474,764,744,508,
346,970,353,783,256,575,581,539,228,002,458,082,818,937,163,477,623,096,459,
865,422,367,740,662,725,406,580,254,296,658,022,899,175,533,837,322,531,813,
850,717,353,476,953,723,913,595,653,440,675,265,570,814,095,207,687,295,611,
232,168,728,253,127,062,656,639,445,578,399,392,016,894,021,849,271,167,902,
316,983,367,038,059,288,013,536,977,613,806,815,230,867,923,106,665,247,203,
105,907,186,542,320,403,545,912,668,208,348,175,416,993,780,204,004,647,758,
747,619,542,961,810,819,661,763,624,411,444,831,513,027,872,191,830,684,538,
897,603,794,723,089,861,922,524,405,235,636,099,989,796,893,201,931,820,331,
801,233,575,887,743,380,554,338,071,447,349,540,441,118,119,425,806,051,855,
775,787,790,414,991,987,164,900,199,316,057,750,480,958,759,188,772,113,644,
551,867,066,432,316,924,768,905,329,501,278,781,864,955,389,830,137,346,362,
416,016,719,991,721,916,096,235,570,021,698,902,650,612,689,811,358,176,109,
419,196,199,685,622,446,499,278,755,468,110,615,964,623,739,055,242,594,906,
201,636,566,042,523,768,952,586,453,875,750,373,763,544,985,763,015,567,954,
001,785,196,712,735,728,493,012,708,211,985,071,196,013,349,492,163,598,601,
909,063,230,229,998,355,059,449,569,150,678,100,648,572,791,691,047,749,075,
475,220,666,207,892,242,914,701,928,685,665,128,057,171,676,359,613,000,153,
401,196,619,321,211,063,707,158,305,611,453,539,508,320,704,948,056,877,474,
010,417,490,045,976,506,187,989,553,008,421,309,756,127,890,941,705,140,583,
784,825,166,371,195,990,516,246,024,930,572,353,871,582,287,432,620,680,211,
768,210,164,807,854,465,946,227,770,982,486,539,008,460,858,849,735,119,813,
211,348,348,786,609,693,135,226,244,449,086,723,255,549,415,321,332,213,663,
373,307,438,682,275,322,118,500,820,386,525,890,899,079,887,996,195,629,868,
431,481,987,740,619,994,971,878,662,788,629,344,661,598,064,339,617,501,772,
061,106,949,506,801,994,784,572,379,777,358,028,282,390,129,661,288,625,096,
096,606,361,494,578,700,316,356,758,339,048,986,109,857,913,582,799,010,203,
609,405,939,419,230,753,764,972,035,008,140,550,318,539,556,350,472,728,864,
165,518,314,508,366,455,279,157,819,196,108,168,583,452,792,104,330,632,215,
681,733,406,377,786,515,785,888,716,105,416,775,709,059,988,186,886,294,389,
941,490,494,637,507,023,566,700,642,537,476,051,959,642,991,355,262,180,691,
145,907,893,045,672,504,848,488,837,825,509,742,336,326,622,022,954,970,563,
431,963,148,955,323,648,739,871,813,666,430,303,186,917,903,905,547,246,985,
575,704,236,479,732,969,038,587,567,430,488,138,822,416,335,333,548,585,083,
309,760,526,254,361,781,883,299,219,600,088,956,702,254,060,928,458,435,958,
926,236,877,427,141,858,868,663,117,182,033,294,510,687,247,502,457,333,371,
551,878,296,922,260,347,613,749,625,890,338,502,179,676,720,940,246,437,942,
132,440,303,606,246,819,275,552,796,682,027,313,295,371,426,100,316,989,292,
535,297,428,214,894,426,196,005,135,166,162,621,796,325,746,226,841,629,563,
670,467,838,309,813,989,711,251,232,213,623,811,523,711,492,454,241,874,939,
292,229,031,713,394,018,607,457,356,516,646,553,945,753,558,757,053,554,219,
651,564,482,338,841,669,431,836,012,904,182,360,395,658,627,636,372,275,107,
411,563,438,415,981,846,629,016,047,775,387,554,927,457,240,987,024,017,559,
274,247,262,982,101,820,362,993,997,386,919,743,925,193,872,188,275,537,860,
010,362,853,490,804,077,267,122,785,850,137,532,664,673,922,594,134,047,879,
502,860,266,062,320,145,692,186,281,429,738,046,813,185,228,044,491,016,773,
555,194,195,555,362,416,105,990,384,863,221,368,544,770,554,950,433,268,941,
027,426,854,134,927,797,442,126,837,985,381,409,790,423,875,729,868,815,269,
974,878,929,186,466,079,642,171,235,775,812,153,198,523,942,634,983,336,358,
267,590,023,506,683,344,959,208,776,155,478,226,837,573,841,241,083,171,072,
720,858,099,091,370,853,986,040,874,606,359,759,139,752,590,701,812,155,113,
433,030,779,473,384,555,975,813,619,371,294,340,960,870,610,138,805,036,760,
186,499,875,507,373,497,715,187,799,203,815,332,956,130,790,812,737,512,737,
399,834,105,253,809,025,498,858,246,711,120,882,831,844,835,828,904,418,828,
463,640,381,433,922,904,457,046,091,462,593,122,503,275,842,205,824,739,332,
775,715,299,586,067,928,938,289,926,876,839,732,341,363,260,264,766,874,648,
566,056,767,900,200,063,735,269,008,919,044,150,307,192,695,538,366,002,592,
109,863,171,858,850,119,495,659,537,179,061,814,355,720,973,860,719,210,563,
716,156,786,940,852,594,958,806,521,242,275,229,938,179,506,516,195,466,280,
699,413,813,304,258,570,618,111,174,473,961,511,200,338,640,716,963,765,968,
505,075,957,033,443,843,261,957,223,837,254,049,136,568,709,106,929,899,812,
657,799,569,852,125,713,877,107,281,352,733,719,354,147,502,104,553,739,056,
369,763,832,634,324,977,291,149,139,758,190,744,436,630,649,835,034,435,983,
987,244,118,711,734,503,201,915,262,791,349,582,738,684,670,576,364,492,887,
464,164,958,445,691,911,367,369,279,972,206,797,171,704,671,491,880,825,067,
735,020,219,388,251,510,824,366,805,329,981,705,987,594,652,804,569,581,401,
005,871,974,877,568,658,161,030,560,138,165,922,939,368,448,483,271,191,142,
144,544,021,978,732,110,903,700,846,074,883,124,294,593,098,615,522,657,634,
674,641,106,507,610,224,637,604,983,435,383,428,955,067,969,134,800,164,930,
191,148,535,565,802,166,153,957,103,125,297,109,270,802,786,950,814,009,825,
386,296,249,861,533,435,946,048,005,515,146,289,487,345,452,771,620,062,798,
814,554,310,071,470,636,066,110,703,589,039,224,144,295,772,855,155,561,746,
933,592,628,264,804,470,662,308,120,563,777,648,067,480,800,152,887,056,846,
640,338,328,929,233,606,417,481,026,352,432,705,034,260,168,667,455,736,180,
370,829,079,499,591,524,631,720,654,349,309,554,327,444,024,121,217,086,984,
459,634,798,410,613,024,072,234,627,357,901,961,071,693,689,127,546,924,942,
492,542,452,087,900,084,716,214,084,791,722,422,115,008,817,129,905,649,189,
593,330,224,363,216,097,600,559,079,455,873,753,426,737,258,656,682,289,395,
154,082,493,330,501,656,231,406,195,153,549,256,525,177,723,350,067,368,761,
136,045,190,879,513,251,182,709,145,236,423,377,171,287,455,248,115,184,947,
414,435,586,500,934,646,805,357,990,121,577,598,588,443,266,130,242,839,742,
226,131,383,046,831,884,991,285,595,499,317,139,396,375,166,274,987,724,777,
302,481,866,824,589,944,141,550,676,812,540,279,563,715,002,258,196,070,822,
363,881,951,121,137,201,305,488,708,180,530,968,594,583,879,386,826,112,277,
754,457,153,040,151,060,920,180,008,731,593,968,669,442,128,439,431,839,699,
394,972,492,417,418,664,934,822,018,838,189,677,958,506,335,376,131,264,871,
142,705,310,544,470,376,673,652,506,279,877,858,127,685,197,571,175,505,705,
980,666,111,834,122,083,055,096,338,804,443,549,326,520,117,937,740,000,049,
751,172,987,683,059,009,417,410,703,207,642,904,022,140,684,375,320,253,048,
451,232,691,389,018,264,394,678,839,406,488,759,149,645,845,877,813,954,137,
194,212,180,281,130,878,970,927,173,435,539,085,778,350,315,471,785,513,043,
080,593,596,559,803,795,285,677,194,530,837,519,801,250,573,720,278,892,529,
386,467,113,727,259,470,407,438,288,560,183,509,746,154,990,292,822,100,886,
181,396,523,781,158,496,885,007,632,178,773,734,408,166,479,938,243,922,227,
145,357,715,444,077,617,427,320,992,941,287,263,747,802,695,352,449,057,390,
600,435,875,688,904,368,038,834,745,612,780,052,858,215,055,163,188,134,031,
808,956,234,693,798,972,827,789,013,417,078,276,633,793,127,544,887,124,484,
812,811,302,024,902,862,714,786,892,512,607,441,882,439,967,430,002,238,673,
631,604,645,368,445,578,738,697,628,535,999,141,228,641,509,800,637,723,495,
213,616,085,491,071,149,539,102,402,385,721,296,873,380,072,133,818,117,695,
261,204,652,247,220,079,545,218,346,801,191,309,358,755,966,125,474,272,788,
285,132,238,702,493,020,044,564,933,554,447,911,347,842,143,333,602,786,856,
196,286,307,735,952,820,428,559,280,098,198,788,648,239,390,755,371,938,888,
063,549,164,039,445,110,013,931,642,810,768,219,287,933,711,274,366,102,657,
152,218,466,868,389,013,243,979,575,061,937,470,465,676,163,381,982,869,460,
844,455,404,684,472,486,654,873,293,988,462,652,992,439,575,029,853,263,610,
002,551,460,190,480,913,309,772,108,044,988,734,253,888,059,843,014,740,640,
124,930,217,745,090,260,047,034,521,916,261,823,064,901,693,832,040,135,338,
533,252,720,126,573,805,502,247,755,272,025,803,130,978,004,551,863,389,210,
727,861,051,999,592,252,647,742,786,315,466,382,309,709,448,336,892,194,198,
970,472,037,647,594,206,434,274,217,292,402,866,674,281,623,692,154,933,911,
938,836,438,715,413,655,409,238,932,919,330,951,583,162,664,701,510,696,666,
701,328,653,837,213,710,365,729,018,096,394,679,697,544,725,745,030,162,662,
512,876,953,258,177,079,800,028,094,775,902,806,023,228,802,813,732,596,537,
934,883,942,179,600,797,812,788,983,754,465,199,446,530,405,998,543,610,090,
338,923,077,641,415,807,569,342,290,722,712,331,028,189,000,279,478,236,081,
503,590,499,643,523,509,434,729,886,480,804,212,138,172,993,588,118,758,670,
400,637,388,677,749,279,385,909,724,601,595,661,683,729,723,352,539,582,973,
895,299,700,726,200,641,540,135,341,832,612,379,441,895,082,407,368,339,711,
406,107,875,697,402,313,608,910,959,386,146,843,730,021,306,260,032,145,869,
882,992,993,607,805,966,790,340,196,386,654,235,236,717,314,675,073,654,455,
528,929,710,982,121,927,052,126,758,271,871,400,591,777,643,218,229,488,029,
628,448,459,010,160,653,055,836,698,409,516,531,904,163,433,469,989,161,292,
459,091,345,478,659,600,078,601,102,227,813,942,002,641,191,853,750,542,299,
259,000,083,178,186,594,383,331,743,145,855,823,853,582,048,616,416,069,884,
755,263,426,199,404,784,898,292,780,180,713,102,836,245,350,914,605,263,001,
397,548,466,246,912,732,451,910,759,801,506,620,371,912,373,841,911,413,149,
357,444,202,045,524,565,713,282,592,887,134,051,240,506,287,726,444,323,090,
762,064,773,027,993,425,750,802,658,039,070,375,304,673,142,733,135,538,923,
077,908,046,874,566,552,184,016,353,587,040,239,402,629,049,286,303,062,487,
070,205,243,949,887,711,002,556,772,496,452,867,033,018,619,568,882,956,053,
637,766,632,892,406,469,109,272,483,721,903,847,767,899,154,959,728,644,481,
165,834,510,770,969,677,009,038,179,929,772,252,237,324,479,181,815,280,212,
500,112,695,358,170,428,288,712,261,217,498,496,948,197,788,110,197,834,394,
772,817,698,283,232,197,116,233,794,267,710,085,058,770,802,606,683,055,489,
969,496,760,409,741,892,554,211,625,282,157,405,588,595,345,680,302,106,159,
198,451,967,826,492,766,349,290,356,731,414,690,971,187,074,789,106,727,897,
370,862,017,614,032,953,341,946,860,660,372,051,556,362,038,278,831,016,246,
108,223,737,356,906,884,814,541,043,924,579,465,593,306,288,598,704,221,587,
592,778,997,166,907,329,825,369,456,162,704,280,251,850,162,532,986,685,558,
744,050,571,178,260,460,335,860,762,436,081,907,609,439,997,570,009,476,893,
450,694,119,968,873,669,848,340,573,383,613,410,130,798,068,643,261,902,016,
913,550,801,122,283,161,582,778,282,215,770,209,648,496,322,394,443,486,933,
757,752,137,631,408,102,093,777,092,659,075,278,643,603,426,550,042,320,636,
654,497,865,341,187,265,360,875,478,665,002,449,603,085,784,957,605,254,395,
715,105,003,773,327,750,684,128,302,662,477,512,792,427,610,321,649,035,048,
092,598,389,388,273,941,376,597,536,322,289,112,155,814,172,421,330,378,657,
456,665,727,543,958,418,935,221,371,395,710,901,826,354,692,404,147,270,879,
199,347,648,595,536,863,693,986,727,129,710,141,372,668,730,402,876,906,478,
839,972,188,570,400,277,334,024,881,585,718,314,173,023,510,763,872,443,805,
454,360,222,675,320,376,751,086,475,697,306,482,391,570,194,927,097,715,876,
656,332,177,520,787,519,111,063,821,183,163,904,285,403,448,290,765,046,382,
546,481,709,394,048,622,806,780,435,795,753,855,694,554,487,522,803,475,699,
140,416,027,584,383,808,891,244,318,912,137,122,872,703,964,736,712,617,356,
297,240,853,583,355,432,562,886,253,308,122,230,076,378,632,292,595,883,171,
487,680,835,799,629,416,352,706,892,446,633,970,838,038,190,535,851,416,306,
017,564,528,488,517,818,286,398,096,599,341,120,684,514,483,866,614,600,492,
059,394,664,084,645,883,887,123,989,843,428,038,847,863,120,681,762,324,625,
580,660,489,019,293,354,656,623,621,531,479,969,544,217,314,769,130,389,152,
986,095,698,277,529,243,576,208,091,042,111,702,627,384,216,662,794,523,911,
196,153,209,520,280,311,796,821,919,593,040,689,909,843,259,312,791,217,485,
280,323,348,790,390,749,212,048,700,678,779,282,154,959,987,036,804,250,107,
827,031,403,621,726,596,533,280,139,798,045,866,398,326,309,732,298,779,282,
787,174,417,310,472,807,143,311,341,123,440,776,382,971,269,513,913,153,684,
779,890,887,241,754,885,073,318,130,982,672,826,933,019,428,198,400,545,036,
052,684,889,901,926,465,237,577,442,318,100,151,511,994,333,843,657,594,415,
275,646,364,969,418,802,416,157,714,646,651,965,162,743,281,454,204,481,182,
863,224,826,169,699,892,236,684,480,977,245,937,339,856,206,698,856,791,173,
913,063,097,237,690,806,778,401,133,026,189,916,873,335,164,039,514,479,113,
760,260,516,812,434,750,106,196,200,420,730,616,795,406,887,657,042,835,464,
571,808,346,518,098,385,547,821,169,451,644,249,267,763,797,710,967,835,445,
276,074,298,308,419,409,400,986,987,328,596,134,043,600,391,416,854,640,989,
917,193,153,145,952,480,981,567,752,310,705,254,940,999,483,218,999,121,964,
211,269,726,016,300,066,047,789,812,510,148,141,810,917,755,460,448,911,197,
754,047,128,064,305,321,235,258,174,152,845,980,591,842,776,773,640,583,979,
454,769,487,919,206,272,375,246,934,998,479,823,670,959,540,269,145,817,021,
838,674,517,069,665,250,194,893,602,284,263,497,961,054,535,939,259,765,545,
455,374,810,564,769,621,716,658,963,493,708,872,918,789,324,668,243,516,952,
493,513,785,025,388,040,526,020,022,139,784,159,012,837,405,660,784,076,152,
522,108,828,166,867,477,665,476,901,097,468,148,068,081,992,155,869,290,107,
184,803,192,794,623,648,757,716,870,694,523,101,487,297,807,977,879,314,240,
210,449,261,822,585,809,277,293,665,734,069,806,068,652,560,593,339,606,135,
710,431,268,682,272,435,262,125,541,925,417,625,836,615,417,507,800,448,328,
544,927,886,834,271,348,379,586,147,433,825,853,965,259,191,788,840,137,957,
942,434,567,809,630,813,220,994,077,779,578,382,593,500,421,652,536,673,554,
420,919,441,625,419,411,979,538,402,185,915,762,556,326,845,825,835,871,193,
110,958,509,342,292,367,829,330,600,045,107,528,038,865,273,237,486,279,583,
681,384,568,786,049,927,655,860,824,643,487,473,137,867,815,711,526,423,793,
798,198,165,694,949,970,887,842,782,184,995,715,584,208,168,719,185,005,195,
258,414,514,809,823,147,066,644,137,681,650,527,853,682,841,942,483,703,942,
856,039,270,730,425,488,008,558,883,041,665,521,124,892,607,865,898,108,829,
218,119,621,514,488,064,697,723,502,531,778,283,529,616,823,093,763,225,583,
498,527,306,284,462,335,529,627,906,688,314,152,636,585,783,605,539,315,666,
710,327,710,321,247,637,300,961,756,397,170,329,031,180,508,053,103,100,735,
827,483,251,575,426,536,765,862,000,090,393,789,980,650,247,745,782,975,569,
988,786,868,132,558,163,905,437,175,252,815,901,778,139,082,270,836,539,050,
149,967,108,557,411,257,104,648,479,798,431,261,645,310,578,982,562,674,831,
027,668,356,485,352,314,536,267,422,598,692,258,118,228,865,486,656,679,291,
313,259,761,300,176,849,377,912,591,677,460,828,594,626,803,328,852,362,599,
024,123,541,991,904,271,251,208,416,295,370,227,133,596,649,908,439,596,759,
333,031,693,568,409,305,597,301,033,505,360,253,680,158,943,642,105,099,288,
684,986,759,517,863,200,918,462,725,415,881,109,130,336,810,042,026,821,388,
043,026,930,783,395,676,756,794,939,437,672,397,057,383,833,104,008,613,774,
693,664,603,711,030,868,617,619,779,121,406,634,182,435,140,052,918,984,846,
982,724,957,246,367,276,333,400,718,044,990,134,933,706,166,778,678,743,393,
178,068,444,837,677,479,267,366,526,471,697,667,699,334,491,086,152,114,812,
521,853,524,657,917,236,406,215,929,890,286,542,802,321,743,802,413,037,569,
878,061,571,216,560,232,162,028,102,354,466,153,421,096,245,893,574,683,227,
609,291,794,041,377,011,437,254,472,653,410,218,170,754,214,604,035,149,559,
590,836,982,292,661,818,441,144,935,848,087,178,134,325,929,620,330,100,694,
392,626,330,207,571,110,121,543,229,295,746,749,748,359,902,869,038,987,928,
153,840,202,349,995,107,013,231,448,797,897,554,343,512,682,194,162,012,705,
127,129,821,076,283,682,699,373,390,894,973,479,529,046,178,122,821,930,076,
905,044,555,696,447,924,981,463,966,571,752,815,032,520,551,633,563,110,219,
920,698,111,740,687,785,427,613,730,844,348,021,957,476,356,669,347,905,738,
421,778,013,870,732,719,863,419,722,208,937,549,321,116,452,777,372,516,574,
533,018,574,598,459,356,595,730,095,638,937,701,958,845,485,496,195,022,177,
221,653,804,040,761,944,595,491,702,693,959,580,427,597,246,652,835,770,417,
460,581,035,100,093,572,396,253,223,302,129,294,767,006,654,278,889,005,971,
598,216,862,040,343,505,703,620,289,224,486,235,604,735,314,112,102,070,985,
055,123,859,708,388,465,257,632,403,454,362,395,037,253,118,167,238,322,398,
363,535,745,557,745,754,668,660,379,716,385,000,536,030,280,871,505,667,208,
214,933,664,145,027,979,499,019,248,915,223,473,723,993,043,743,295,826,854,
710,991,456,374,569,430,144,594,780,178,375,581,446,513,942,530,920,762,749,
392,396,031,075,177,446,650,473,843,201,471,807,401,666,392,461,150,813,920,
279,383,914,062,571,135,888,546,665,136,615,941,294,014,209,340,041,030,956,
953,220,687,080,443,002,589,369,208,340,782,619,184,619,450,499,745,012,967,
354,799,842,909,300,740,033,323,806,254,105,831,743,989,901,575,476,894,450,
324,449,722,477,831,186,281,359,361,921,002,163,006,484,183,882,614,860,011,
135,827,991,007,479,051,187,423,630,067,771,859,673,567,175,968,732,334,948,
316,102,278,457,477,599,207,963,820,463,598,067,977,144,140,898,479,344,027,
343,573,077,314,666,204,790,287,486,454,879,784,728,190,203,450,088,898,570,
831,268,439,015,254,298,478,577,181,100,000,700,207,721,479,177,202,963,771,
153,367,576,506,288,578,444,260,721,458,615,822,698,050,113,360,821,501,968,
806,859,270,381,523,884,698,598,644,328,898,731,695,795,991,775,573,416,101,
706,997,306,089,728,214,691,138,909,430,144,890,411,045,474,700,367,671,008,
986,362,079,532,386,714,683,004,896,680,892,962,505,850,909,987,500,403,016,
953,638,624,662,493,206,498,542,614,312,138,501,660,818,532,284,982,508,549,
092,687,191,060,887,024,559,347,037,099,713,500,860,894,874,184,851,011,443,
439,913,257,356,733,431,848,731,193,853,270,084,852,523,937,375,617,769,996,
056,995,046,481,153,712,486,405,110,642,020,789,692,372,029,957,283,288,071,
484,006,244,698,460,073,165,741,816,952,032,719,898,317,363,856,714,889,009,
641,636,045,113,810,966,523,503,285,757,147,274,931,163,533,068,573,121,288,
689,360,754,250,483,318,567,694,917,998,973,554,768,202,306,892,940,374,390,
905,773,645,010,486,832,471,358,577,781,817,625,866,980,476,654,035,530,799,
766,861,068,395,466,319,356,026,363,510,993,541,949,441,440,593,691,484,703,
423,767,227,558,062,129,596,327,953,414,264,595,861,281,501,153,222,004,353,
060,122,764,858,572,671,618,993,167,286,814,358,699,530,782,449,317,376,754,
243,073,714,214,899,397,495,480,978,068,290,763,669,157,088,108,269,230,277,
660,425,103,579,998,693,780,842,432,422,087,322,852,232,086,936,846,308,847,
396,753,006,216,048,422,920,069,683,069,845,032,073,048,173,202,020,044,109,
892,787,964,422,523,266,036,402,807,062,113,301,107,356,199,424,569,584,967,
673,668,126,149,503,109,521,978,477,484,798,342,431,160,699,149,824,549,780,
010,719,559,028,834,260,523,141,486,128,889,844,121,414,252,621,199,627,986,
337,399,955,260,858,990,289,046,113,228,892,837,686,280,439,577,713,943,575,
839,462,803,782,327,294,241,074,365,950,641,052,139,646,001,091,936,633,469,
928,836,321,925,189,316,185,237,956,207,764,471,162,133,722,219,831,193,730,
329,892,314,844,787,870,149,215,150,528,507,902,206,500,634,258,829,023,782,
785,063,484,072,412,623,005,871,057,386,636,017,524,938,272,925,743,724,202,
614,989,304,942,394,523,014,953,557,041,514,641,811,117,999,910,900,326,233,
657,992,238,604,228,844,849,919,569,761,483,314,693,536,405,487,103,209,051,
085,831,406,880,060,287,069,805,472,698,069,348,333,745,382,906,831,600,537,
954,096,334,280,600,537,240,469,064,760,364,187,678,554,774,601,104,140,747,
724,265,363,463,560,236,753,982,190,573,387,935,106,979,389,274,507,639,690,
187,153,393,235,320,239,657,793,023,864,652,826,504,197,360,914,234,548,392,
883,467,464,354,912,632,181,367,999,071,549,663,553,249,992,793,019,168,811,
594,396,524,139,165,827,601,188,838,803,064,588,765,298,424,042,141,079,706,
242,516,712,868,412,331,009,345,748,501,285,052,789,919,898,251,700,666,943,
833,521,283,394,172,894,091,417,990,870,300,911,344,382,557,587,861,074,726,
049,343,034,372,564,571,268,765,427,410,446,197,950,868,644,869,107,338,261,
613,346,096,537,157,785,898,176,801,925,097,676,142,725,109,503,867,681,003,
322,362,986,802,988,628,940,155,281,543,830,665,554,235,632,977,667,488,427,
083,843,312,208,282,024,193,190,104,871,966,747,778,109,370,510,722,644,151,
815,053,333,718,269,533,607,496,172,857,970,797,410,368,276,109,390,561,503,
930,220,857,960,708,193,896,716,211,361,432,026,024,497,681,965,665,768,274,
582,760,955,422,303,754,774,718,738,856,121,723,605,217,645,325,084,954,607,
819,702,175,192,235,750,164,005,383,873,264,832,040,840,166,658,036,908,140,
514,410,929,224,367,976,950,322,138,856,436,565,146,256,723,613,040,785,564,
829,545,298,774,794,934,007,663,539,295,854,227,651,904,371,202,338,959,192,
847,373,801,760,628,128,321,440,159,756,269,240,146,292,857,151,118,072,408,
725,609,338,870,482,271,714,229,471,070,065,315,727,501,269,042,898,239,888,
162,221,991,519,942,721,911,228,278,139,641,170,813,034,059,149,318,440,636,
879,005,309,318,592,677,421,315,416,112,198,182,999,489,842,024,130,027,505,
459,704,039,835,316,923,993,473,569,351,634,241,574,811,405,877,225,588,532,
041,503,271,563,446,347,631,740,703,692,429,941,149,718,824,348,530,635,572,
713,155,208,965,888,071,699,680,887,727,862,456,085,905,263,188,773,770,721,
126,398,779,607,515,555,372,415,685,993,434,029,525,804,610,460,114,868,187,
999,568,529,795,097,757,450,013,524,042,303,313,877,427,726,510,678,436,858,
686,022,397,424,866,307,745,287,627,949,417,338,191,729,628,978,552,920,060,
876,227,398,349,866,765,238,625,487,792,573,472,925,251,150,152,431,982,462,
896,845,397,863,693,254,484,274,280,968,318,160,495,680,188,538,472,576,165,
185,997,174,778,468,296,418,754,369,817,555,501,706,057,169,505,279,285,715,
859,172,614,660,730,948,660,607,803,699,564,537,599,227,018,447,910,062,548,
188,448,061,953,050,749,517,899,341,871,797,774,542,606,588,507,464,294,512,
498,388,198,354,473,777,365,355,563,371,629,891,113,454,902,061,420,430,236,
043,360,955,071,250,413,135,536,134,659,997,859,870,574,794,079,715,045,330,
439,324,964,161,489,006,110,349,933,178,111,882,006,530,921,730,506,930,306,
926,007,055,335,653,028,280,326,993,339,663,766,736,407,321,756,668,344,968,
075,150,330,966,277,937,401,922,597,505,407,114,135,788,380,069,310,401,046,
851,773,351,545,823,885,685,772,014,337,214,981,271,523,019,517,550,427,613,
837,161,486,278,015,987,995,039,226,113,083,248,481,736,823,898,722,807,618,
252,316,221,850,910,104,595,134,434,939,280,054,754,303,752,174,972,135,164,
616,108,335,842,822,303,044,706,900,962,209,432,121,628,047,890,600,919,222,
075,819,416,323,997,124,657,713,542,211,228,253,864,804,970,438,139,323,563,
490,011,016,302,487,253,546,929,251,515,419,044,321,381,662,801,984,381,716,
234,815,559,433,021,031,983,257,075,486,997,782,674,283,438,544,453,834,801,
267,644,997,559,599,077,520,989,610,154,258,616,229,755,498,716,006,481,226,
140,822,103,619,494,333,974,509,356,816,764,936,129,370,780,985,505,460,160,
098,039,423,000,499,330,650,970,433,254,137,000,943,838,074,360,803,527,096,
703,724,618,567,649,044,705,636,839,816,714,665,173,790,038,489,478,245,256,
266,396,915,316,178,037,079,207,684,896,834,716,850,911,155,259,377,238,089,
296,563,365,930,917,801,556,040,669,664,749,908,864,373,696,731,931,280,876,
143,267,092,587,553,653,506,287,898,609,870,221,058,669,888,428,296,473,365,
365,057,255,019,574,543,419,360,932,987,600,692,790,923,999,908,595,024,195,
825,346,114,636,800,414,342,340,858,585,227,404,542,140,065,392,193,063,045,
448,825,768,625,227,408,022,656,327,655,508,301,241,749,119,715,036,890,520,
274,032,949,468,119,236,124,601,979,341,321,922,183,809,657,834,737,460,011,
865,706,250,726,559,504,518,232,384,722,637,696,760,403,841,330,522,924,657,
272,774,816,087,402,385,994,326,015,646,231,188,329,684,103,140,182,439,115,
399,978,878,016,744,670,667,812,896,521,518,307,829,372,602,962,252,302,251,
469,134,921,357,007,669,089,187,768,868,109,134,970,387,074,346,009,323,787,
984,244,275,624,836,090,237,656,162,390,029,119,897,340,413,847,591,452,784,
787,382,676,992,406,594,761,673,041,950,962,991,164,757,646,532,575,385,864,
171,748,633,750,799,031,498,052,575,861,528,508,989,352,642,603,546,430,470,
177,684,446,710,995,808,200,996,289,659,845,767,117,607,649,467,207,096,071,
177,215,929,023,312,168,701,121,143,267,877,829,600,157,014,629,625,190,990,
816,803,967,601,465,569,543,054,626,293,390,769,612,908,205,204,392,909,840,
781,729,157,885,734,248,596,820,108,042,919,527,118,255,410,743,808,351,146,
333,866,152,935,169,060,887,771,969,980,389,197,934,272,775,436,872,249,511,
629,706,399,899,348,952,530,639,469,491,394,454,929,099,182,454,555,984,823,
329,251,284,200,635,957,763,899,273,703,981,311,770,126,018,010,893,026,746,
971,883,008,281,365,737,564,313,585,663,478,548,050,582,175,922,434,376,100,
129,522,561,203,173,903,324,980,212,106,890,886,758,346,922,581,569,618,451,
854,992,169,240,349,834,659,496,803,471,621,249,375,092,662,117,793,345,348,
766,402,664,123,675,352,329,531,717,140,963,603,215,620,790,427,400,766,849,
348,850,644,099,385,013,755,621,829,583,401,604,682,298,819,993,051,563,759,
114,522,782,655,496,012,365,029,124,372,283,132,258,546,180,106,394,444,114,
288,597,977,501,681,590,002,427,367,742,469,593,372,204,235,671,022,897,067,
665,738,004,626,297,649,704,386,844,281,729,893,505,193,854,110,309,126,648,
708,587,734,783,964,468,273,696,873,520,983,637,610,868,200,700,179,885,656,
214,875,806,128,161,747,499,596,859,632,217,212,611,418,591,972,658,082,139,
928,265,878,988,360,054,665,709,340,296,144,242,324,558,961,829,848,962,880,
479,835,572,602,310,722,437,826,497,318,959,055,811,482,870,749,099,948,189,
654,662,472,444,764,501,310,342,775,508,785,804,791,987,133,729,380,969,099,
795,871,090,942,589,030,419,750,723,536,547,173,222,677,768,360,629,231,092,
135,414,442,194,351,540,573,839,473,801,871,391,553,248,805,200,563,743,007,
751,749,784,347,168,137,917,638,213,802,800,786,386,589,282,141,924,385,719,
854,089,584,449,543,360,670,899,742,053,446,121,093,730,187,990,421,924,708,
761,414,103,052,956,670,576,689,941,399,019,322,194,098,642,572,341,777,224,
945,408,658,881,283,473,731,666,215,756,205,155,113,087,458,185,445,309,802,
111,463,545,175,231,620,847,846,930,075,700,478,111,874,873,251,332,897,214,
439,527,027,004,724,895,167,799,590,391,864,707,903,127,401,627,743,341,902,
070,120,935,490,194,156,678,029,749,887,212,045,774,523,453,533,675,871,336,
360,001,956,506,404,030,290,493,479,687,795,951,054,142,734,492,752,374,441,
311,513,573,371,495,173,418,289,550,626,676,537,720,315,406,929,776,572,929,
666,482,067,196,148,117,319,435,630,306,084,285,989,941,395,976,991,465,703,
641,113,535,680,512,599,873,096,261,914,028,149,449,928,024,434,655,484,544,
774,352,469,789,888,245,186,341,819,145,515,848,826,361,982,134,921,269,542,
183,418,498,351,810,248,684,520,425,777,419,809,387,443,327,969,240,928,162,
881,211,081,550,682,024,908,017,622,200,339,019,334,471,225,134,275,647,673,
837,548,497,510,494,255,934,421,394,342,478,459,126,714,035,891,273,837,972,
428,680,843,387,224,571,276,490,210,503,558,496,868,199,507,561,962,941,350,
345,651,307,452,858,254,360,046,557,401,291,360,760,260,913,071,429,761,498,
980,633,253,631,418,398,515,533,749,570,521,646,005,633,089,445,187,745,082,
703,447,260,565,970,953,700,307,182,950,105,631,965,336,464,220,485,987,214,
854,169,348,177,816,190,017,633,466,001,956,244,297,340,110,703,682,994,373,
733,397,499,586,636,461,326,720,855,727,098,216,346,289,447,719,610,073,842,
672,691,890,090,540,099,398,006,737,905,162,953,757,473,861,207,807,739,628,
593,779,485,319,206,719,688,880,256,788,964,879,095,907,915,694,483,805,175,
213,936,346,916,356,604,027,086,900,885,545,009,550,343,131,038,032,568,170,
590,454,297,048,526,085,641,148,875,862,883,163,350,148,293,060,620,734,021,
216,523,175,655,090,461,499,343,641,970,215,116,745,406,816,615,958,044,016,
496,607,267,518,273,913,289,233,456,090,185,759,661,260,186,644,464,567,035,
627,594,976,039,807,263,437,698,661,329,396,292,413,078,354,985,372,679,450,
099,660,759,717,740,470,795,025,945,446,075,181,412,675,011,242,549,026,753,
830,416,091,051,088,236,479,326,671,306,617,602,388,036,209,221,186,382,043,
607,448,064,848,806,681,695,704,305,675,606,323,908,210,934,984,160,869,685,
277,758,801,237,685,238,569,228,409,012,423,525,108,653,570,209,045,990,342,
248,166,431,307,369,185,799,682,354,910,650,371,046,227,742,382,426,457,174,
525,209,027,665,265,270,268,670,672,326,312,699,011,612,405,127,748,100,551,
716,867,053,784,163,601,940,995,235,515,139,035,616,192,446,347,380,236,493,
959,426,961,431,269,747,065,451,641,145,376,747,012,934,465,311,949,246,560,
934,257,545,309,584,508,159,376,772,403,650,521,649,029,920,205,009,066,433,
783,163,600,432,650,525,226,840,443,713,703,303,491,794,436,593,889,184,308,
678,021,152,210,253,182,524,645,848,490,402,707,030,575,863,279,089,539,223,
388,039,041,087,090,663,560,061,883,254,850,082,935,255,168,807,045,568,498,
358,484,084,229,184,200,191,687,962,584,452,364,747,390,833,536,114,792,704,
268,552,344,566,959,660,414,624,049,641,802,087,638,779,762,453,581,733,575,
905,294,409,376,524,910,357,974,085,924,629,865,542,276,932,299,766,817,135,
634,258,466,393,775,839,074,327,973,216,160,405,780,723,784,876,143,563,885,
407,929,315,962,626,468,545,530,155,016,304,825,406,403,116,077,424,474,375,
910,944,460,827,517,747,590,606,806,301,186,401,064,446,753,642,953,899,873,
469,544,477,994,592,223,926,409,895,925,722,047,661,173,515,445,441,756,743,
412,616,536,146,360,400,045,803,741,909,482,899,743,709,056,345,279,016,836,
966,866,070,745,393,718,969,446,700,729,934,553,367,608,937,359,261,199,501,
488,001,851,870,022,107,397,348,310,929,140,500,304,655,922,545,607,735,124,
663,464,205,842,436,489,777,106,657,279,937,269,441,513,909,640,987,448,518,
972,148,161,707,776,253,137,561,135,865,454,936,637,128,555,616,907,331,526,
317,087,815,284,566,090,931,332,143,366,160,904,300,974,058,684,470,627,340,
391,487,721,542,990,212,172,193,292,909,621,904,197,064,833,105,902,556,401,
440,874,152,305,838,549,520,822,312,345,718,865,510,444,020,727,566,747,722,
960,692,924,114,894,270,154,685,695,322,881,443,169,556,630,930,643,783,559,
823,107,888,674,778,799,670,045,283,831,403,197,063,474,168,321,307,245,340,
158,347,197,332,682,521,710,844,814,811,097,099,692,771,643,777,239,008,770,
089,146,724,625,252,845,718,717,630,808,794,423,885,564,377,167,048,173,557,
358,310,012,732,543,937,563,136,063,057,451,092,776,645,112,968,678,008,452,
197,058,093,762,993,426,952,617,905,977,789,681,391,925,739,292,576,283,732,
991,158,742,146,464,899,504,774,786,708,932,753,357,553,085,181,699,098,967,
885,327,109,807,245,662,759,205,103,637,380,291,015,576,649,310,791,990,694,
393,864,938,378,530,177,728,453,113,385,381,977,530,441,186,435,447,688,027,
408,470,816,154,020,624,951,620,982,000,694,857,390,388,847,121,549,190,360,
382,156,867,636,550,688,177,404,442,327,496,589,383,275,438,150,957,571,081,
615,041,502,100,062,303,943,609,054,182,895,110,107,928,431,161,511,298,499,
940,705,166,389,239,332,921,005,690,659,889,009,541,961,798,116,059,026,213,
898,152,766,343,727,929,641,231,821,139,088,184,776,721,637,770,550,512,526,
930,770,258,650,435,508,186,353,423,267,298,492,009,487,811,153,248,130,407,
618,000,491,845,784,791,719,321,534,571,997,558,098,667,547,843,971,033,654,
790,609,118,602,517,548,339,731,645,493,808,381,036,063,464,446,376,204,173,
019,600,409,990,799,199,523,195,757,228,575,264,440,380,070,869,278,194,373,
566,465,310,839,086,036,925,614,622,786,851,986,066,536,652,724,661,755,766,
726,471,802,028,299,844,650,290,126,955,316,577,026,989,304,743,632,108,330,
700,845,224,269,078,869,860,694,076,701,067,330,340,823,873,922,562,478,779,
435,877,723,156,895,051,002,777,467,608,404,671,500,418,157,265,562,401,287,
021,857,005,339,937,690,181,487,570,546,974,919,316,461,290,716,622,977,012,
005,926,653,140,393,868,777,308,743,711,057,067,525,623,898,205,480,098,514,
757,728,152,035,286,848,435,779,393,524,165,726,089,310,064,903,323,813,754,
086,270,084,805,888,536,241,641,109,448,056,122,171,496,316,143,488,078,394,
185,777,622,607,120,286,247,826,093,052,331,419,306,900,585,139,228,132,422,
937,557,312,285,882,195,623,597,939,770,132,269,215,058,385,979,716,841,693,
886,622,317,182,156,154,892,313,465,335,613,535,309,710,815,522,893,895,843,
245,083,084,472,288,097,210,341,825,209,754,115,981,429,485,053,112,756,821,
745,546,073,538,106,824,209,979,438,084,236,875,613,524,676,226,863,459,390,
749,684,634,363,184,373,079,399,057,892,809,176,123,596,092,913,152,196,486,
117,524,698,306,734,392,189,250,085,113,663,272,940,953,155,009,708,070,689,
362,426,234,141,859,764,473,380,864,984,454,755,732,348,269,357,979,823,126,
704,631,911,782,533,144,654,445,413,976,916,854,319,470,790,267,529,919,946,
373,384,284,408,356,026,519,890,813,783,648,216,016,712,915,681,456,038,509,
360,505,369,725,517,995,717,586,442,898,109,760,456,595,100,133,836,029,865,
547,202,913,027,533,606,589,924,484,665,141,181,356,524,127,451,753,413,808,
655,692,278,770,964,325,107,638,971,498,943,636,940,562,061,732,610,441,111,
009,290,304,866,667,413,077,370,636,521,601,631,126,539,500,411,686,052,150,
274,706,881,462,554,031,521,639,705,789,097,431,222,884,580,109,256,714,531,
682,881,003,582,576,439,544,614,014,622,035,770,414,015,855,202,952,148,606,
178,571,309,237,595,185,415,377,600,959,416,870,547,949,076,715,914,178,349,
295,411,433,489,745,320,183,935,951,125,305,097,686,074,234,743,626,017,822,
629,125,724,661,299,131,528,531,441,781,919,408,500,321,820,016,312,322,695,
772,804,542,008,252,396,803,725,452,238,504,888,362,400,222,474,135,479,688,
674,214,041,861,690,815,818,951,865,064,038,706,419,686,524,078,020,171,290,
579,384,903,227,091,974,610,870,564,795,542,571,981,816,848,423,626,575,695,
219,227,785,083,821,368,570,055,629,063,735,257,710,822,332,124,756,141,227,
650,969,911,938,943,818,001,714,524,293,640,724,443,760,412,942,846,439,430,
938,931,483,718,296,261,991,210,693,826,352,136,627,094,465,839,066,402,070,
748,881,435,610,270,697,157,344,550,306,112,452,643,644,707,880,399,485,918,
047,402,307,951,635,113,386,924,851,707,826,590,790,418,265,871,992,338,924,
951,070,162,709,347,090,104,192,820,610,955,236,720,330,986,046,828,627,051,
272,140,358,285,484,335,492,356,792,638,632,915,739,436,859,698,296,975,073,
994,603,750,760,726,620,591,022,606,498,914,469,110,387,192,845,002,063,346,
624,444,914,907,697,083,809,284,297,651,274,521,300,453,696,173,972,359,945,
268,725,601,995,150,471,735,251,795,613,715,233,835,245,737,020,110,063,482,
008,459,282,295,585,053,412,779,608,906,222,718,800,395,019,250,572,509,467,
348,696,502,950,816,097,380,631,550,043,179,538,742,882,347,058,703,023,576,
561,538,602,714,264,015,726,976,347,993,072,902,331,067,292,220,419,734,905,
334,315,689,489,409,392,630,729,331,060,952,198,590,199,765,082,101,853,440,
953,052,307,004,990,658,705,427,911,614,885,281,331,253,424,584,352,170,295,
106,541,011,112,912,126,134,857,829,945,418,074,914,938,378,225,542,524,603,
396,280,895,498,777,994,245,434,346,513,664,053,330,789,031,043,972,349,188,
754,657,746,184,102,642,378,974,506,543,461,691,829,713,226,478,613,700,259,
761,896,221,237,808,179,507,783,162,958,654,298,042,404,224,743,206,492,214,
110,382,010,632,798,905,269,252,920,565,266,468,935,472,913,284,730,843,516,
826,932,459,265,963,572,377,350,247,076,932,829,895,884,808,786,918,794,307,
556,882,466,786,356,638,327,851,445,373,697,647,554,550,059,301,687,947,415,
321,708,405,455,662,900,823,223,091,135,439,168,564,015,652,443,112,069,408,
062,644,358,041,422,690,017,149,748,172,734,018,180,478,515,978,000,388,761,
156,666,404,628,359,000,777,322,909,537,909,594,359,169,411,268,361,406,042,
832,054,907,819,448,422,132,274,938,738,826,482,229,391,993,201,833,744,288,
239,191,373,671,432,917,426,951,864,376,913,564,037,462,506,284,166,743,124,
481,058,688,680,699,564,808,848,043,364,296,011,467,633,682,875,680,145,812,
750,407,518,757,984,516,180,833,432,673,406,627,908,376,933,151,883,640,877,
742,964,716,830,422,440,591,345,851,430,210,910,443,648,951,207,193,323,677,
104,820,270,847,664,408,862,679,782,639,468,518,697,293,050,155,810,648,251,
064,498,433,464,419,755,271,175,129,517,259,696,726,875,641,236,788,988,388,
490,919,524,920,357,364,751,720,110,758,630,896,473,140,925,201,209,189,224,
139,296,569,668,272,394,768,210,102,892,341,986,257,455,093,452,008,055,415,
253,787,885,815,252,004,960,452,330,922,708,620,436,479,254,091,843,115,710,
040,772,299,708,375,179,005,914,367,087,271,198,424,290,896,876,422,609,449,
467,657,369,360,824,828,249,460,873,628,373,555,947,528,931,906,181,334,555,
211,220,038,269,302,855,835,516,017,988,290,141,645,951,591,606,552,924,503,
484,073,746,651,901,489,292,132,847,405,359,206,359,168,669,943,229,002,061,
357,812,916,187,052,707,637,157,004,406,564,600,063,350,127,781,065,491,485,
106,912,949,261,572,217,687,859,485,742,196,155,604,777,799,230,803,783,887,
395,852,890,648,419,337,079,652,751,051,843,232,126,638,480,060,112,343,613,
861,958,945,716,457,836,014,091,424,367,872,395,362,436,723,838,527,981,376,
549,127,403,975,079,177,827,600,026,956,027,617,035,779,671,191,293,252,829,
857,871,024,897,948,041,537,121,099,999,371,488,030,434,161,622,738,833,410,
778,220,727,429,735,978,202,483,919,265,130,838,266,578,294,314,966,214,325,
657,321,660,370,073,525,616,946,493,489,810,533,691,942,741,894,830,741,748,
271,647,391,123,110,851,389,916,368,604,448,088,368,074,775,783,539,666,611,
791,735,001,608,458,338,142,200,949,163,834,155,308,845,737,455,216,616,861,
204,908,158,435,550,100,581,963,633,377,528,686,112,005,672,229,726,201,744,
217,932,706,966,741,868,940,363,936,469,960,685,190,050,524,037,965,777,261,
258,906,459,645,503,192,473,147,642,989,945,121,483,484,707,727,294,898,648,
531,584,774,755,361,449,923,433,190,059,723,693,507,364,540,755,081,015,416,
395,948,305,613,656,570,292,079,599,940,968,473,972,971,772,288,187,560,519,
323,841,363,370,517,879,217,551,077,800,288,038,101,704,114,676,496,398,075,
702,243,185,530,103,703,944,376,495,381,916,018,840,005,128,707,752,845,135,
086,747,223,361,204,926,051,360,446,648,029,203,431,734,764,175,638,738,419,
031,372,804,395,496,457,473,073,397,127,767,665,285,586,760,274,209,252,595,
193,388,371,912,948,899,776,084,941,956,472,377,148,154,304,308,294,495,101,
565,563,660,943,235,750,989,444,898,428,290,633,488,664,178,695,149,519,169,
902,238,760,348,246,431,304,080,999,951,728,260,732,622,610,531,967,336,546,
058,060,636,040,083,953,096,968,240,991,540,340,541,733,788,911,825,520,721,
366,356,597,059,909,631,948,293,121,176,057,216,364,779,315,898,571,400,588,
176,025,471,672,781,451,942,923,644,956,787,546,712,503,040,885,290,427,249,
727,345,939,838,995,541,375,069,113,603,047,665,073,538,050,273,768,175,581,
125,640,201,416,344,723,378,130,360,172,208,052,395,223,106,845,556,719,519,
566,893,760,987,667,604,236,819,868,157,377,528,361,917,447,489,339,798,547,
318,503,684,718,027,116,983,870,409,789,633,617,558,606,458,449,568,249,023,
362,301,482,704,245,580,997,225,028,115,637,127,138,065,422,930,724,250,754,
961,702,149,354,752,898,909,736,412,954,915,242,957,853,854,995,771,837,307,
218,391,065,092,469,768,134,208,566,118,822,261,469,122,559,124,891,812,707,
374,414,320,325,118,393,426,232,257,458,851,218,821,206,043,074,881,770,020,
344,902,769,011,283,102,950,193,969,071,046,564,468,044,534,594,019,553,134,
041,419,184,670,503,616,099,704,943,563,806,107,854,874,440,687,753,408,001,
609,775,844,221,763,842,737,398,634,830,368,268,500,332,271,212,216,603,785,
903,797,342,215,440,772,300,303,318,462,730,190,701,421,815,768,207,153,064,
450,727,419,165,246,903,097,018,450,753,491,032,734,749,928,224,406,570,007,
505,494,310,737,475,409,353,671,040,010,200,272,907,117,758,933,517,317,226,
256,891,723,531,107,200,652,410,447,376,017,617,090,713,105,801,823,201,977,
600,092,992,036,603,913,342,444,865,530,867,087,034,334,910,579,930,514,532,
763,528,739,402,333,147,013,751,702,436,826,218,374,467,418,161,507,865,244,
244,136,976,998,678,217,893,984,742,099,322,186,259,884,138,536,471,011,387,
577,719,572,614,959,778,955,430,987,688,075,755,786,498,978,082,541,232,287,
229,452,551,270,654,423,696,261,060,007,180,607,532,475,011,482,169,274,782,
253,531,712,323,628,777,289,808,581,823,891,238,086,671,442,006,709,817,001,
240,615,960,980,692,283,132,994,397,342,182,486,691,313,080,419,217,462,784,
773,699,620,371,324,364,669,410,134,257,164,049,604,489,265,042,377,288,769,
787,061,848,139,645,461,300,879,949,835,211,990,777,666,642,458,135,485,289,
752,142,086,851,115,035,085,698,346,225,784,463,161,715,921,897,743,267,839,
609,904,897,230,972,157,733,940,936,120,525,413,600,658,052,779,128,914,983,
598,195,738,922,422,835,986,989,695,384,724,233,221,371,610,497,261,755,519,
230,056,640,710,192,531,865,347,551,851,002,828,871,211,988,871,281,817,202,
010,952,494,051,341,971,522,560,447,014,623,270,019,658,283,888,533,896,720,
331,023,017,990,942,356,011,999,203,124,030,464,631,908,323,869,826,670,189,
213,406,251,801,867,677,902,176,137,105,690,967,035,410,118,771,783,612,567,
006,469,164,172,171,786,565,956,415,753,861,312,878,152,768,958,482,021,316,
927,664,743,472,577,300,032,193,631,623,816,164,047,635,421,049,136,371,970,
543,178,938,795,386,983,114,715,921,629,676,490,999,919,942,867,248,814,485,
699,866,767,362,307,773,859,970,777,644,239,354,590,804,076,038,291,271,583,
099,007,302,254,272,201,314,233,658,759,180,433,359,522,397,886,962,382,745,
133,771,198,742,750,981,811,672,510,435,130,434,544,333,812,993,920,593,067,
358,797,349,738,781,067,572,540,559,327,827,756,602,459,532,208,192,982,454,
274,221,230,416,154,684,360,840,823,168,995,383,259,685,639,625,811,157,704,
694,828,767,657,659,060,701,222,343,251,795,048,796,676,632,949,188,334,794,
068,741,576,092,185,504,447,710,243,753,411,105,502,120,134,535,020,980,050,
475,099,654,581,007,429,524,173,626,402,904,816,857,490,518,915,838,140,232,
861,677,807,295,566,353,748,910,018,680,248,263,946,336,017,962,120,070,371,
605,876,199,797,338,440,612,506,976,573,972,715,534,988,671,496,502,544,736,
092,517,438,320,329,197,933,746,667,657,842,974,547,836,475,539,652,771,756,
178,892,122,909,982,256,786,776,206,913,696,993,746,910,816,677,591,248,108,
386,732,526,370,974,661,196,627,489,062,223,261,732,453,748,726,202,840,193,
037,143,015,938,798,761,871,743,092,963,921,793,565,289,287,322,090,101,529,
181,436,035,655,835,365,176,867,304,278,372,785,639,688,585,401,078,250,411,
732,594,141,011,848,591,346,466,635,937,560,990,528,210,882,185,353,382,869,
945,254,871,259,354,336,955,539,470,914,299,891,615,928,907,585,093,318,142,
765,745,103,517,451,362,700,694,412,006,896,796,078,218,656,534,667,557,446,
685,583,176,763,421,872,452,912,895,450,105,415,281,295,348,927,509,844,014,
440,210,810,714,012,365,244,597,648,234,387,276,074,227,250,241,451,518,770,
759,947,106,678,810,992,149,017,852,033,420,118,166,515,787,555,614,357,016,
817,802,632,652,598,582,009,806,232,587,831,904,570,029,447,668,109,022,716,
072,548,364,130,613,815,789,781,442,933,572,051,155,724,593,257,878,169,588,
172,057,309,334,906,763,579,445,239,775,833,430,518,116,360,778,037,794,114,
711,830,005,743,950,383,238,592,648,079,523,967,458,760,990,892,988,616,059,
071,270,775,180,397,406,557,060,183,411,417,566,220,572,094,056,366,457,921,
229,396,184,916,427,998,516,322,150,114,258,018,130,358,620,459,968,612,757,
724,481,532,075,122,222,442,331,564,258,104,601,088,551,751,062,280,477,751,
932,887,429,461,596,185,414,246,037,168,880,285,070,064,917,797,116,388,862,
426,518,063,721,100,836,000,265,241,959,823,660,875,445,696,389,981,153,439,
396,872,415,740,028,635,433,669,821,280,598,589,866,310,533,609,015,385,471,
868,060,366,364,020,085,701,478,522,877,851,053,759,254,734,259,142,036,979,
627,577,821,447,723,848,464,761,052,499,078,616,899,960,821,189,067,539,825,
905,583,192,379,039,931,195,488,883,379,275,924,297,195,278,547,275,737,173,
495,135,851,949,248,347,339,571,389,153,680,528,720,835,344,629,618,590,880,
623,300,008,053,006,524,640,605,898,919,076,114,096,135,877,474,941,770,417,
925,818,579,446,690,149,920,743,782,544,940,570,224,657,128,666,118,771,502,
279,764,414,948,084,761,912,294,914,569,955,878,519,320,752,527,648,405,261,
753,621,911,637,227,076,348,500,787,769,129,694,093,241,595,496,808,932,951,
426,069,517,833,489,646,077,429,402,793,532,670,919,942,493,566,272,668,752,
465,053,934,103,066,525,117,512,563,423,635,318,965,872,522,405,420,878,174,
747,998,151,211,618,251,232,802,620,089,611,241,287,715,486,038,991,687,560,
947,527,879,256,791,184,531,646,514,945,137,716,922,928,779,038,816,558,628,
773,018,469,415,899,178,189,078,058,527,374,483,388,450,196,352,729,761,646,
205,357,691,066,616,218,860,245,016,733,252,600,581,242,833,370,456,150,310,
235,623,477,964,677,124,870,316,984,252,762,186,325,627,121,996,612,790,149,
466,506,464,100,414,074,175,256,361,581,508,824,897,928,377,552,296,891,072,
462,180,418,344,546,535,139,610,509,935,180,678,929,576,290,683,727,047,107,
559,155,772,681,292,461,751,335,917,915,300,477,372,493,901,898,136,689,905,
956,166,858,831,267,565,562,270,500,354,171,397,757,036,350,363,747,325,116,
786,976,314,296,826,252,124,291,164,436,881,038,726,522,138,311,436,114,809,
511,413,094,819,001,496,740,870,135,219,181,123,088,562,637,850,333,615,658,
658,701,724,789,007,038,995,136,764,769,900,292,743,046,233,171,102,518,688,
950,573,225,699,450,150,256,700,638,314,935,570,315,349,383,153,571,219,755,
676,498,378,178,570,757,924,584,123,738,357,552,824,620,353,654,391,728,496,
169,374,859,594,535,307,483,714,672,905,447,856,988,316,231,417,738,895,603,
259,723,580,997,961,517,043,364,765,083,926,680,889,855,781,328,656,013,195,
863,104,446,236,146,701,378,041,183,502,863,548,817,257,968,143,262,718,385,
643,090,663,950,905,669,140,771,598,669,409,045,234,842,361,623,351,889,553,
791,367,069,526,574,449,569,153,461,739,019,147,740,121,381,892,539,429,139,
915,452,695,778,204,757,281,060,196,112,364,134,999,673,495,503,713,092,099,
515,554,419,979,588,864,607,858,486,003,659,589,235,347,582,062,912,334,686,
464,892,460,277,385,301,026,288,365,086,588,793,823,949,614,940,347,539,855,
781,927,265,809,905,663,502,261,162,941,472,646,817,143,568,131,270,529,941,
251,757,764,786,772,843,976,389,430,139,914,937,848,380,426,465,274,386,755,
380,796,132,934,178,204,006,279,573,051,664,690,145,630,631,220,497,695,594,
171,865,810,232,834,734,179,735,730,535,764,520,464,831,442,244,233,959,461,
325,486,897,909,028,987,968,950,447,067,301,047,725,493,623,820,195,871,732,
139,259,650,758,886,246,428,969,632,977,330,540,382,658,560,542,017,311,427,
687,599,056,964,307,760,372,581,019,915,488,942,130,359,766,763,490,824,176,
890,943,645,392,785,299,010,866,115,898,653,053,429,850,267,069,585,870,631,
530,548,048,471,972,619,115,172,063,043,751,032,707,571,255,384,700,906,948,
576,525,118,605,995,686,932,196,600,924,936,839,305,625,820,522,213,978,278,
627,879,528,629,094,974,073,509,318,409,386,340,201,914,933,314,398,109,678,
096,341,881,328,018,687,854,602,764,353,346,075,256,551,104,730,168,630,157,
057,974,422,551,409,289,125,692,345,473,587,391,370,548,028,662,515,465,781,
747,075,605,655,333,869,370,363,382,977,526,043,961,936,256,292,053,314,173,
895,215,351,503,135,473,069,292,486,589,696,098,632,328,376,378,007,739,415,
068,951,671,678,051,047,363,598,889,059,045,548,108,156,665,365,386,681,519,
108,591,658,139,249,094,596,362,494,599,550,829,031,031,875,042,040,004,987,
386,195,755,623,817,930,899,709,596,795,262,682,262,434,373,731,319,891,755,
704,693,194,454,036,553,632,638,635,670,252,779,760,770,630,412,076,895,623,
935,786,387,373,848,108,072,093,786,163,988,834,300,481,970,069,446,534,483,
363,946,268,630,047,316,764,233,620,762,037,629,694,122,051,300,368,882,275,
916,005,781,465,136,995,412,482,519,108,138,020,440,091,672,431,385,353,227,
519,116,585,835,066,297,678,363,213,101,943,200,814,990,945,750,591,487,392,
462,460,016,307,018,436,298,957,045,984,022,876,007,212,202,559,321,605,111,
403,439,066,792,228,317,083,308,114,737,746,060,427,923,698,072,929,999,331,
680,182,308,594,423,226,806,714,492,310,643,291,910,432,621,111,557,511,765,
455,016,094,560,367,260,452,018,211,672,672,698,461,909,060,667,537,522,766,
004,113,013,562,736,388,926,297,293,487,308,693,390,474,960,742,948,412,445,
729,969,932,520,064,268,884,344,920,263,904,958,175,616,167,614,222,834,691,
267,435,874,350,915,570,854,891,216,600,287,555,856,630,828,287,210,273,646,
342,750,116,332,847,220,710,508,354,583,924,142,321,242,015,388,763,747,022,
601,842,431,115,224,884,278,538,098,235,134,504,740,352,382,732,967,143,648,
922,371,169,964,573,491,183,441,125,217,455,112,500,681,050,304,623,172,550,
960,869,056,103,117,006,701,938,436,498,845,971,955,429,150,649,259,680,468,
492,252,118,855,651,522,430,193,973,367,204,941,186,973,415,094,468,142,943,
397,473,632,877,884,786,619,004,394,754,114,775,486,800,094,397,543,684,106,
150,194,985,031,997,057,045,978,649,585,450,949,851,301,999,817,352,042,513,
999,698,515,050,461,020,030,123,817,487,075,904,497,816,555,878,607,718,561,
386,772,335,821,780,321,977,391,090,281,294,733,182,374,866,059,506,199,526,
786,116,872,289,817,492,928,267,622,841,104,529,284,359,234,790,636,691,390,
470,740,485,114,068,758,411,284,926,489,066,236,947,103,159,575,375,740,820,
337,028,807,669,621,833,639,051,520,004,433,805,535,464,136,855,700,113,171,
913,948,720,170,301,492,260,888,543,293,889,644,321,951,924,887,377,806,925,
219,285,745,781,027,778,446,229,161,517,125,269,409,896,630,470,357,489,636,
524,914,200,727,733,328,586,505,558,971,249,469,679,734,872,038,245,237,697,
807,229,904,829,872,182,497,730,709,828,990,776,773,832,745,682,960,105,717,
046,419,278,720,119,611,536,445,698,862,701,295,214,375,645,892,624,735,624,
335,943,406,568,980,252,611,699,134,468,190,738,071,000,261,810,110,551,258,
545,432,217,658,165,602,055,707,877,189,315,702,470,638,326,471,724,340,758,
543,192,873,458,653,821,623,813,853,133,113,294,969,305,176,995,002,862,864,
780,297,784,079,587,837,610,034,759,515,326,376,423,840,154,068,561,077,610,
314,913,180,542,395,231,948,854,200,730,096,701,233,318,849,576,727,539,902,
509,560,936,203,082,167,475,470,047,177,956,086,090,975,672,694,112,812,752,
316,221,787,746,727,189,848,325,336,269,925,330,186,233,697,449,019,757,500,
455,543,776,031,760,381,954,967,339,340,289,588,780,613,258,602,443,382,936,
352,244,039,226,444,207,406,138,157,740,983,068,507,869,808,956,359,228,528,
368,761,988,832,794,877,384,529,621,096,047,733,432,277,168,452,980,170,752,
231,345,006,129,575,078,191,377,909,253,639,745,527,907,933,379,537,490,556,
455,412,065,703,008,698,249,645,211,595,282,104,129,354,425,225,054,982,342,
392,796,591,721,131,130,680,671,849,460,702,632,485,539,278,975,024,079,907,
062,599,886,856,767,760,478,389,059,069,386,577,186,105,783,684,347,571,009,
917,398,059,908,105,582,238,748,921,086,020,614,174,015,788,308,225,485,187,
763,940,078,530,805,511,531,241,565,649,062,099,378,160,744,104,690,768,585,
146,898,060,450,938,415,066,484,605,888,665,050,989,874,234,242,540,936,405,
305,001,424,617,813,439,014,028,231,370,466,932,965,644,613,362,534,219,873,
803,441,309,131,573,255,901,913,255,841,421,294,874,783,391,282,519,900,249,
056,462,946,327,270,192,369,963,550,977,272,253,442,330,168,119,905,862,613,
457,569,931,202,164,302,296,354,007,538,281,853,484,050,896,498,373,465,584,
228,355,580,994,596,581,737,279,278,468,847,287,125,363,859,261,328,558,563,
973,628,446,971,584,469,990,825,883,610,183,369,455,736,992,958,109,248,213,
276,562,034,960,772,303,397,380,098,129,200,421,334,113,644,467,536,044,475,
121,640,966,495,904,338,898,448,164,242,281,959,382,197,081,890,141,326,673,
034,727,818,977,275,862,754,982,373,984,796,578,271,675,526,960,647,783,761,
649,184,821,943,858,373,067,967,796,403,437,387,597,698,986,730,211,214,194,
508,419,594,264,627,224,190,412,829,594,541,209,084,073,262,061,392,574,347,
043,338,553,109,938,757,445,137,306,419,060,638,544,226,188,525,510,161,242,
274,201,344,814,808,134,993,200,927,259,059,751,689,711,055,879,706,694,962,
622,846,124,142,300,182,624,335,230,338,042,475,447,145,762,530,787,136,499,
613,749,877,418,983,516,246,274,417,694,628,038,157,665,056,591,792,835,478,
951,177,008,857,124,698,278,578,607,120,742,062,970,638,898,698,452,375,028,
297,468,583,566,298,741,022,494,492,645,889,517,117,613,333,355,144,193,311,
893,513,526,529,663,090,876,395,753,367,755,518,127,420,390,212,569,652,323,
224,654,232,648,241,198,136,772,364,341,443,831,973,423,584,578,260,650,394,
008,314,200,340,246,154,689,842,962,430,783,265,600,731,486,844,685,526,987,
148,231,729,561,600,843,137,575,939,666,365,121,634,222,993,624,556,475,096,
392,170,173,627,552,319,124,549,678,215,592,752,159,451,769,211,498,992,204,
649,376,735,038,953,808,075,097,595,854,813,776,826,322,686,199,829,896,895,
426,603,975,585,928,903,808,875,717,766,530,288,187,212,243,655,761,803,008,
260,434,694,582,885,164,888,617,943,392,917,398,936,423,467,310,714,363,993,
672,277,418,977,544,970,296,431,340,595,047,278,812,941,644,682,778,822,982,
034,229,900,199,922,234,351,407,518,084,311,407,950,086,236,376,308,017,957,
164,772,797,439,137,180,851,760,847,724,380,907,776,104,566,843,218,167,167,
030,646,154,520,620,920,999,264,850,445,309,615,626,138,146,699,298,086,029,
820,010,034,150,326,567,740,549,467,938,824,986,277,656,545,754,477,366,021,
272,019,101,628,157,076,354,185,456,273,537,914,168,309,426,021,652,811,899,
025,634,305,214,128,253,416,579,099,301,216,976,284,910,426,920,696,102,227,
873,226,576,278,657,904,428,330,130,556,027,759,202,689,606,582,325,858,653,
724,021,566,357,465,496,067,233,688,360,005,206,261,349,408,749,159,500,627,
943,005,762,106,331,727,607,959,871,517,590,947,270,362,293,876,440,064,908,
016,968,781,149,629,561,529,141,472,394,190,905,625,084,089,726,251,216,460,
679,578,895,475,170,365,868,066,930,083,712,879,356,634,068,074,910,589,016,
839,951,047,691,354,011,456,900,066,073,391,481,577,136,937,598,204,114,365,
131,924,396,866,575,411,667,431,623,622,468,873,871,002,305,946,854,271,092,
730,957,103,570,383,642,350,120,344,897,383,930,617,531,942,462,956,506,639,
275,927,821,432,285,052,227,154,984,254,606,738,015,675,151,342,860,839,260,
595,417,166,606,831,482,630,643,662,606,934,210,989,050,340,562,949,313,625,
835,692,017,936,297,728,658,782,111,303,243,344,313,094,133,485,722,953,973,
034,489,579,617,935,733,223,786,607,245,248,641,130,954,129,601,154,839,891,
685,164,256,294,814,425,476,999,347,794,308,645,174,227,121,003,054,267,672,
034,629,957,823,181,732,524,165,891,831,916,622,157,386,744,029,158,901,452,
912,560,569,008,711,273,163,431,134,890,583,551,807,353,480,039,306,217,703,
371,038,226,770,023,036,668,467,885,662,027,984,147,589,336,147,544,709,521,
454,135,196,307,014,629,289,575,339,867,467,824,484,561,802,271,476,556,086,
862,732,872,259,394,460,095,909,003,812,547,838,818,939,521,689,392,251,692,
518,976,141,929,857,113,845,725,607,568,570,362,775,056,564,473,663,723,484,
943,766,113,408,853,303,018,250,026,544,162,260,666,971,749,946,350,543,234,
899,974,902,712,371,674,092,337,864,931,192,432,808,776,385,031,505,589,068,
554,864,613,923,688,250,559,163,353,306,666,250,743,663,002,580,206,370,355,
835,641,913,156,831,637,085,398,293,691,749,488,611,161,634,893,343,104,994,
015,263,310,372,621,795,908,280,987,594,316,383,226,294,371,621,837,079,035,
773,053,448,026,414,651,017,950,585,592,643,254,902,986,932,412,830,384,149,
256,855,247,686,656,719,201,850,335,612,442,305,087,482,412,735,535,313,647,
103,662,445,108,626,739,792,281,193,809,804,829,488,341,711,850,527,557,171,
990,634,290,063,707,254,967,000,177,810,125,131,973,727,846,064,775,757,296,
008,082,222,594,022,905,930,357,431,250,846,926,300,647,158,308,883,218,052,
663,850,678,791,591,956,103,249,001,821,382,462,773,825,775,773,548,143,457,
043,567,066,235,306,779,487,326,098,022,691,219,423,752,694,775,241,789,604,
690,864,562,099,745,906,144,540,465,131,198,637,468,466,001,616,658,590,192,
494,979,522,379,802,118,582,489,322,451,825,596,931,799,965,519,895,634,890,
411,505,935,421,674,176,361,125,585,508,726,827,832,120,106,406,640,098,881,
116,959,815,841,320,772,173,880,176,428,729,655,460,523,458,741,261,951,684,
091,911,441,943,003,146,490,986,748,054,265,078,522,141,045,880,308,238,590,
879,923,928,086,191,480,706,788,368,758,464,974,497,476,258,139,244,253,205,
403,292,308,549,528,400,775,797,621,304,830,366,990,061,972,498,867,296,889,
256,994,190,730,116,646,535,041,325,796,778,475,790,192,262,592,156,280,421,
276,117,954,965,819,335,164,079,364,965,403,423,459,433,712,136,599,579,865,
337,918,241,270,272,695,466,703,080,544,403,942,607,797,457,711,101,676,327,
661,862,617,863,749,738,304,094,549,872,009,637,803,525,671,464,996,798,744,
121,133,194,610,905,845,574,736,445,456,828,568,887,571,415,882,674,404,588,
785,028,902,154,162,319,228,071,564,704,196,514,211,173,626,337,999,444,981,
158,174,306,765,822,165,343,649,751,138,341,281,419,569,222,097,111,745,926,
782,851,324,552,688,812,985,897,456,120,116,165,633,757,865,377,966,678,141,
884,132,840,865,960,547,549,851,076,915,503,405,750,227,644,652,300,559,985,
920,112,273,460,165,586,769,503,781,722,512,181,973,410,710,226,370,632,934,
943,124,244,719,637,778,733,861,073,779,370,443,398,541,354,418,188,619,326,
074,774,788,872,440,615,972,967,571,384,902,869,067,734,958,578,747,585,797,
897,925,984,732,976,607,694,673,611,178,770,667,536,941,807,674,962,677,284,
978,498,394,994,630,576,568,006,755,306,439,417,011,220,104,161,639,161,819,
888,765,271,141,804,323,018,589,470,809,299,848,570,819,192,118,802,251,801,
574,547,424,294,721,599,414,178,200,841,867,587,592,832,513,290,835,004,453,
477,270,309,813,420,496,121,386,915,497,295,330,738,771,300,450,779,512,872,
375,656,664,008,021,754,422,819,337,734,758,617,816,584,723,670,526,978,975,
503,000,047,480,118,489,262,093,293,843,178,132,888,829,579,702,732,836,204,
864,414,122,065,570,444,460,220,750,635,449,128,120,617,080,879,395,859,438,
095,732,111,132,839,670,200,460,485,997,032,770,126,798,648,571,038,446,968,
003,951,412,854,766,822,105,030,869,067,073,493,111,414,961,311,750,963,555,
019,604,899,232,883,611,388,961,835,096,106,585,951,044,266,941,978,878,206,
764,460,254,919,634,050,124,174,714,685,406,569,922,183,942,511,514,832,676,
096,381,943,030,356,673,899,346,273,991,480,868,941,519,937,543,048,256,495,
138,450,570,121,972,186,589,054,042,664,971,049,447,133,255,708,596,471,643,
388,202,760,286,994,171,557,576,314,899,306,813,160,852,918,903,463,979,761,
115,410,176,773,542,077,904,654,604,065,647,714,419,496,518,445,054,637,623,
796,553,316,525,718,494,311,874,300,393,356,280,411,487,824,265,548,972,799,
159,515,584,690,223,057,167,653,014,807,636,162,366,588,434,044,895,920,436,
886,211,033,642,094,405,082,318,084,430,093,823,412,158,146,724,431,506,517,
362,368,581,232,918,673,293,436,355,923,197,800,195,961,717,112,969,449,731,
289,446,992,464,254,260,602,554,438,131,138,024,316,187,943,412,454,336,259,
420,795,951,951,880,994,244,499,614,740,989,130,132,152,050,217,221,524,861,
434,964,926,606,552,195,411,329,360,943,415,740,815,604,226,372,413,668,429,
887,408,540,353,667,393,363,372,168,916,098,437,048,296,833,399,269,347,123,
706,324,171,738,781,628,030,193,376,143,563,856,157,097,792,859,313,733,226,
822,477,819,163,779,226,631,408,760,432,228,685,229,659,861,740,670,059,962,
673,473,779,828,373,130,165,044,749,365,374,043,213,751,365,465,390,076,649,
930,849,189,760,064,309,635,958,413,464,462,731,042,556,193,338,171,593,247,
205,235,283,440,350,583,638,492,865,134,869,816,208,239,521,449,794,892,502,
218,714,326,035,747,224,574,545,397,127,487,682,670,926,855,788,394,966,954,
943,726,622,359,672,531,480,179,876,621,014,598,886,600,254,287,374,807,642,
868,195,216,201,952,984,324,771,498,423,631,924,191,745,077,549,407,367,334,
893,379,283,125,540,867,677,915,072,820,637,892,174,965,882,754,963,464,108,
323,700,097,438,790,721,263,473,819,486,046,956,259,676,949,406,405,085,516,
690,444,310,672,437,811,628,425,924,822,297,376,936,445,699,524,925,033,548,
745,669,705,104,223,426,262,375,951,433,753,781,362,015,319,245,993,862,087,
171,432,966,110,611,050,737,280,248,390,834,297,631,070,017,035,889,494,266,
910,438,938,747,996,325,601,997,153,121,319,713,373,981,035,313,242,332,514,
823,170,566,720,851,819,156,063,851,141,403,434,518,932,194,602,637,587,870,
200,869,312,026,358,248,277,339,004,122,407,127,622,082,263,578,653,413,451,
606,489,644,562,353,691,774,040,905,806,837,947,767,165,696,711,503,101,817,
084,977,754,643,711,356,250,933,947,352,867,301,875,238,076,668,577,533,586,
696,812,994,407,694,599,437,531,786,305,308,951,621,440,845,276,649,858,575,
671,701,332,430,725,718,010,526,250,034,415,919,015,194,351,089,071,401,345,
985,909,885,388,521,138,838,190,777,407,280,108,635,195,288,938,877,614,937,
444,153,056,496,068,061,275,149,884,057,347,864,341,417,625,400,811,071,035,
512,793,779,427,819,777,548,512,083,822,369,640,942,582,940,480,097,423,064,
710,938,750,552,049,857,219,576,374,989,685,823,313,633,049,978,488,418,528,
393,862,330,204,498,577,157,666,308,265,927,852,358,945,809,145,645,849,791,
862,145,091,277,312,274,768,016,048,939,255,256,666,840,052,177,503,331,535,
068,442,054,412,921,691,165,557,129,393,360,556,234,010,735,924,819,537,614,
240,838,020,840,665,220,887,687,436,792,052,375,946,867,109,647,848,374,865,
328,533,773,820,397,666,997,262,827,101,473,216,295,192,479,357,829,139,920,
877,428,021,338,321,471,348,340,268,013,165,158,193,427,185,345,183,295,869,
966,836,006,854,403,512,226,069,419,071,304,993,231,485,088,436,707,678,244,
526,470,599,615,958,641,327,352,503,128,158,231,610,623,257,976,167,147,458,
616,963,031,098,743,465,386,011,504,654,696,496,816,217,695,963,613,197,658,
419,331,703,717,490,827,905,473,981,664,398,215,430,771,667,154,520,512,988,
242,205,967,628,160,164,950,036,936,673,146,577,599,201,482,089,628,981,190,
216,180,894,136,606,097,316,789,674,200,024,646,231,952,153,567,896,118,724,
564,394,706,705,155,773,693,531,483,492,703,712,609,563,465,812,221,819,872,
277,717,705,846,583,107,626,497,141,447,443,264,645,701,271,951,038,070,568,
317,330,418,460,985,192,532,204,080,420,295,439,435,791,613,133,060,718,938,
410,679,960,562,754,925,956,752,153,346,951,045,071,857,813,626,498,478,577,
864,339,237,898,020,108,961,168,814,454,166,068,442,597,543,975,616,505,039,
621,224,057,128,562,553,807,817,213,555,083,666,688,177,279,210,472,413,078,
650,418,710,358,465,048,556,222,163,201,771,074,516,729,751,221,633,369,331,
898,003,320,948,153,558,508,101,473,459,231,790,761,957,509,735,179,834,623,
234,573,042,977,210,523,408,529,892,906,984,506,821,448,722,382,507,528,743,
861,410,093,384,478,193,085,749,081,656,243,729,347,957,364,822,785,859,031,
638,450,123,781,597,478,164,312,537,935,306,969,409,838,214,281,350,406,515,
057,936,712,291,422,029,264,847,359,344,432,042,613,472,415,603,176,747,718,
504,031,120,790,584,208,713,962,506,225,912,651,042,742,950,662,318,911,824,
121,087,942,523,962,627,875,454,090,594,205,534,101,071,718,512,926,749,417,
978,753,663,862,254,387,622,708,289,706,887,000,944,228,128,627,187,382,542,
231,238,810,642,582,392,527,835,356,494,425,687,695,124,170,598,358,447,002,
836,674,768,595,624,726,280,565,013,410,952,840,385,338,658,325,973,936,643,
699,080,945,421,243,282,390,345,149,445,913,033,766,648,353,060,149,812,421,
224,245,288,615,740,626,073,211,159,802,351,479,336,953,098,169,864,630,732,
547,558,172,652,305,085,432,421,545,848,085,008,662,316,588,347,174,733,887,
178,924,739,375,671,854,365,142,610,952,500,743,425,481,473,871,472,030,313,
380,691,806,509,937,974,512,924,460,594,014,660,553,957,844,597,097,026,087,
753,788,762,226,231,921,241,454,640,692,451,597,928,112,995,274,488,914,315,
224,824,513,095,543,527,882,027,167,315,771,536,127,586,854,279,731,731,810,
211,958,739,837,602,229,213,330,730,928,772,875,760,397,114,280,589,166,654,
264,747,903,751,164,538,118,394,506,249,740,890,844,334,828,616,139,669,309,
013,507,003,121,540,440,368,585,807,104,094,422,008,451,069,004,625,299,926,
885,845,582,556,450,951,478,411,037,951,209,126,874,793,743,845,224,843,731,
090,782,273,069,689,648,253,234,720,872,197,564,730,231,271,178,159,708,264,
478,653,094,629,967,112,072,052,455,983,996,145,543,131,268,271,034,676,494,
566,952,280,788,239,614,719,917,341,262,673,602,743,476,220,775,819,814,584,
800,870,799,665,684,145,745,280,399,129,058,524,517,399,317,100,038,821,378,
934,356,320,304,074,631,452,515,767,834,103,661,279,212,512,402,333,761,409,
947,385,511,940,021,647,564,867,951,202,372,554,367,734,652,452,484,519,246,
219,402,536,381,315,315,775,821,838,408,120,529,310,763,464,457,696,271,115,
995,265,387,778,295,088,886,759,275,121,290,363,509,435,406,552,624,978,021,
491,315,041,730,938,203,069,533,421,777,177,777,898,448,920,968,640,913,507,
670,244,590,653,210,529,361,532,634,722,281,400,048,800,909,140,100,354,817,
660,217,855,877,530,450,351,583,277,161,152,073,999,548,028,557,077,520,110,
957,538,214,153,103,416,249,969,482,252,463,245,682,727,298,578,205,373,733,
512,331,357,077,715,932,133,197,789,625,112,512,159,540,561,802,444,388,530,
046,297,201,640,366,599,162,291,048,398,762,359,900,925,366,691,120,457,817,
682,332,221,686,533,195,680,550,904,201,301,943,413,954,545,003,867,518,490,
561,345,883,589,962,796,148,662,545,571,546,597,863,710,809,517,106,300,752,
668,540,903,228,818,210,365,673,187,229,858,500,275,881,979,036,132,723,282,
176,130,844,155,826,923,586,680,643,772,643,336,497,905,407,754,545,798,005,
154,396,098,334,374,678,348,006,779,573,206,122,788,676,454,139,741,114,625,
013,875,371,376,282,960,880,818,130,031,483,275,697,494,604,098,514,767,781,
004,102,942,767,605,737,369,286,108,662,214,498,868,319,399,742,410,072,368,
871,743,461,125,664,514,073,348,448,354,846,527,551,124,374,799,429,556,067,
128,042,764,024,880,598,220,294,195,962,831,949,927,457,161,528,018,539,867,
067,511,254,715,339,740,060,190,615,062,536,846,573,640,024,658,896,583,863,
640,048,091,127,107,040,355,759,139,038,897,566,054,393,386,966,330,064,173,
388,748,863,291,151,012,247,169,537,025,261,367,900,719,986,739,996,103,359,
192,424,783,969,151,260,117,581,485,152,876,321,366,990,588,081,818,089,061,
824,191,107,415,366,548,771,924,075,321,371,216,559,383,486,273,125,752,409,
668,840,971,138,608,010,158,531,777,788,003,005,591,418,586,725,034,947,479,
835,933,179,872,181,147,463,893,737,356,800,133,271,674,654,590,441,318,459,
327,648,838,360,683,644,843,789,725,640,131,419,685,881,771,777,164,986,600,
202,296,690,650,417,194,276,622,670,682,090,622,462,641,106,410,029,794,065,
427,324,350,815,605,825,915,796,277,996,878,236,712,230,907,437,748,126,631,
271,161,003,815,431,503,951,685,819,024,000,973,543,644,769,160,702,392,620,
718,553,703,109,585,912,466,252,635,503,436,462,951,292,473,545,600,657,816,
542,294,723,524,881,859,778,232,829,573,052,929,736,063,891,570,786,154,958,
004,056,170,704,547,294,367,430,751,608,471,813,961,927,494,710,452,446,483,
100,041,108,475,716,253,437,796,552,686,210,533,311,973,634,746,523,355,877,
378,632,295,765,786,613,443,147,539,174,146,680,797,053,387,475,745,273,541,
267,770,784,117,137,099,065,193,789,215,331,168,348,488,186,758,820,487,486,
520,022,451,010,345,276,265,554,156,531,114,328,805,224,725,298,818,825,224,
141,563,278,031,297,476,704,472,475,139,653,273,746,186,272,166,058,476,201,
976,524,198,683,127,929,301,816,760,203,324,921,365,362,701,620,234,314,405,
787,448,376,053,038,504,442,482,651,721,154,428,462,870,722,142,418,293,738,
611,408,888,851,657,624,909,083,611,860,641,007,232,159,774,133,007,950,356,
751,358,862,510,059,168,521,317,691,423,230,834,627,789,168,599,193,792,322,
068,972,560,354,908,297,586,291,297,517,400,062,323,974,061,802,665,535,051,
577,349,554,607,667,321,587,166,800,250,862,072,874,266,762,944,208,391,112,
657,077,793,560,135,808,063,555,706,503,872,769,159,703,857,695,406,867,237,
013,894,041,429,849,851,437,569,844,436,241,771,693,886,046,960,066,291,546,
203,069,786,682,494,449,229,898,302,172,354,726,403,597,783,500,355,323,445,
290,678,121,178,876,970,019,610,335,647,134,399,772,578,148,345,579,943,273,
763,326,916,537,520,940,647,451,787,826,246,953,974,216,912,752,204,676,069,
240,689,778,210,425,750,433,686,329,804,976,354,191,733,191,937,845,582,803,
669,498,311,334,258,914,380,486,986,738,989,444,719,987,627,889,631,511,686,
405,723,018,869,038,778,818,296,316,157,390,667,174,727,850,652,047,422,172,
739,314,731,463,320,634,012,389,138,814,887,120,472,443,258,067,313,391,679,
188,349,031,386,653,273,786,680,810,236,349,896,409,560,800,621,344,322,340,
572,287,221,945,641,126,240,166,289,181,713,504,053,230,584,229,666,932,631,
568,226,554,033,267,572,392,139,787,135,618,325,862,091,769,318,346,690,124,
984,115,721,251,548,607,965,948,589,339,086,588,515,483,019,508,880,412,020,
592,565,299,778,342,813,587,349,288,368,829,332,827,746,067,786,393,500,925,
839,915,995,684,990,214,358,817,856,237,662,397,206,977,270,938,697,333,768,
969,636,132,551,560,438,303,419,193,290,595,028,196,151,736,242,436,659,544,
380,898,721,264,321,723,992,694,419,474,252,571,400,005,518,472,932,573,135,
026,906,396,612,866,920,406,017,219,865,392,119,246,780,973,378,556,835,728,
135,505,402,869,728,344,338,548,712,549,205,221,292,343,125,765,929,997,576,
773,380,120,256,510,125,537,220,986,816,528,634,855,545,530,189,471,489,170,
587,897,487,650,785,627,661,758,144,865,983,408,110,503,132,320,609,963,546,
305,820,158,475,768,306,125,117,477,203,936,235,348,008,234,152,101,596,497,
697,410,402,530,216,382,584,785,114,469,897,859,802,934,378,708,480,329,190,
032,253,571,558,983,428,746,271,541,904,245,429,912,278,205,140,131,350,587,
018,369,412,058,114,868,995,421,235,019,938,676,955,523,700,796,406,224,105,
880,748,398,041,140,607,539,227,810,334,989,454,554,898,273,001,675,851,513,
098,947,563,904,444,813,451,964,418,081,142,032,636,677,393,629,217,680,159,
394,804,082,952,365,128,332,079,519,210,825,568,785,698,221,348,591,677,418,
424,594,805,898,400,703,512,708,590,815,271,423,050,512,322,177,710,677,476,
067,887,497,299,657,122,766,665,731,583,307,883,819,177,209,126,047,066,206,
085,633,619,288,200,828,121,747,953,355,630,704,811,691,544,886,113,985,669,
118,160,975,753,308,998,034,753,962,468,716,093,300,715,212,944,323,473,382,
549,294,847,454,453,052,151,166,236,551,600,976,454,970,386,111,511,144,484,
733,418,263,513,375,128,463,113,557,617,104,456,726,355,321,616,497,307,253,
630,360,297,735,115,262,766,639,835,473,880,742,515,652,981,377,471,342,718,
309,420,519,096,345,664,875,580,882,112,851,706,186,396,607,005,256,178,159,
523,354,034,465,042,128,747,059,908,609,919,456,911,107,259,858,751,853,454,
830,839,513,653,690,579,842,786,644,529,401,987,059,770,714,398,923,794,690,
061,842,838,601,189,294,454,138,454,954,675,786,760,526,575,618,226,637,780,
803,383,534,227,291,884,446,606,662,072,807,549,884,970,603,093,877,971,373,
896,981,983,944,741,801,863,155,542,576,331,114,035,728,785,665,654,832,532,
281,521,273,115,363,253,315,233,641,661,539,962,299,566,227,574,672,552,316,
409,866,303,141,111,669,810,408,064,271,740,772,909,439,028,719,146,080,242,
415,237,013,479,452,976,504,807,164,494,504,586,091,844,119,395,474,410,840,
887,156,777,771,625,854,291,311,361,503,346,675,150,573,168,752,562,536,000,
664,716,054,332,146,540,424,855,197,532,184,884,637,396,342,335,572,575,319,
670,566,800,215,760,359,744,319,256,725,705,766,878,893,825,901,990,048,919,
928,332,533,252,339,303,122,042,731,609,311,264,465,307,295,208,186,978,993,
093,191,875,586,678,685,711,132,603,311,704,113,302,052,165,840,799,971,678,
049,429,621,563,138,398,937,419,097,650,662,117,561,935,455,024,242,167,497,
352,942,852,752,598,983,701,385,816,497,983,490,176,897,172,259,308,575,492,
616,693,833,108,718,232,498,244,356,927,955,322,659,153,642,003,197,331,796,
402,954,843,251,194,577,974,719,808,923,594,917,452,702,122,140,381,760,585,
076,842,285,159,549,231,871,090,351,289,116,776,887,837,370,734,314,541,721,
770,265,137,923,074,551,485,087,747,964,283,293,651,627,142,220,490,516,000,
869,643,646,291,211,047,416,350,022,911,506,057,121,169,712,054,952,558,658,
779,314,991,318,382,107,780,518,943,940,424,140,808,249,456,301,931,277,933,
618,540,952,343,884,233,528,304,885,740,059,247,003,544,122,155,322,163,346,
101,845,105,971,785,200,115,645,693,024,175,088,391,060,490,241,599,008,783,
711,491,114,823,639,281,250,432,923,982,789,576,167,764,762,945,487,796,712,
024,235,936,949,828,236,412,644,616,794,315,324,945,623,311,915,347,107,631,
758,739,957,575,366,970,435,141,534,711,051,917,005,532,178,685,891,433,567,
132,998,422,139,927,315,690,512,221,474,631,415,122,714,352,425,350,232,950,
486,454,707,985,492,930,218,092,121,311,259,196,368,066,874,106,453,650,840,
482,111,505,093,564,387,357,091,534,498,645,097,584,404,547,401,939,026,552,
085,879,200,744,886,052,044,480,112,091,602,549,325,849,115,647,136,392,019,
063,067,662,369,705,934,712,568,535,267,629,083,086,130,183,923,829,552,599,
146,428,174,953,736,554,653,383,266,569,721,347,307,628,494,871,659,575,733,
666,598,173,134,561,661,584,402,940,295,576,178,385,625,432,300,747,435,346,
666,482,374,367,583,941,929,193,826,627,098,879,842,982,805,002,999,162,190,
724,642,085,944,324,761,189,822,402,033,811,769,710,962,894,830,932,302,004,
496,476,115,517,108,361,277,439,897,867,714,300,783,473,203,975,770,179,159,
069,490,183,850,901,089,590,045,631,017,248,578,250,199,246,498,676,511,869,
050,039,888,371,429,525,371,940,572,787,641,824,767,266,698,372,725,853,742,
127,037,267,919,582,939,272,989,718,997,592,469,549,650,422,159,363,813,981,
453,104,760,746,285,371,159,708,604,048,659,062,181,813,161,232,364,409,752,
281,729,950,401,648,182,161,539,657,712,802,049,554,400,382,902,023,237,315,
068,064,504,094,159,377,389,857,477,817,459,131,567,810,248,659,696,624,732,
636,328,182,787,073,644,967,199,158,456,979,501,386,227,352,111,561,206,644,
375,570,852,407,132,997,907,600,397,289,181,127,233,944,822,278,699,258,526,
149,308,844,032,820,022,572,684,695,893,346,098,996,454,864,396,920,849,070,
400,820,082,220,257,730,703,792,072,222,420,394,080,022,425,391,062,758,390,
378,684,705,121,881,030,650,561,428,154,504,079,489,182,548,206,117,068,727,
294,218,983,048,817,603,546,126,035,661,273,058,312,218,000,233,132,586,365,
990,536,857,273,134,531,714,081,787,214,425,998,240,650,286,637,473,303,123,
581,969,399,836,666,484,164,214,934,507,579,081,480,489,721,122,631,689,393,
197,816,686,145,595,153,633,976,549,606,119,127,215,515,855,314,330,904,277,
403,054,498,444,060,732,039,469,060,911,991,637,751,519,980,173,061,820,276,
200,763,675,452,962,065,616,343,079,230,137,051,908,482,664,563,198,404,445,
682,067,550,216,048,578,255,879,588,738,894,661,782,005,333,978,950,548,678,
487,115,028,535,131,542,984,889,203,750,429,247,568,258,455,857,450,323,486,
777,430,081,629,230,162,269,727,079,512,941,059,851,639,357,052,046,510,438,
075,162,774,323,792,297,355,849,010,206,475,268,736,519,027,205,021,085,813,
157,037,814,371,744,239,048,852,097,183,655,760,874,477,403,853,198,171,066,
488,853,954,444,922,895,654,373,921,925,818,092,309,255,562,623,619,123,739,
518,825,484,800,343,578,792,653,770,469,351,821,112,481,627,113,694,086,944,
113,087,687,767,243,046,062,065,028,959,650,352,245,303,474,740,706,996,668,
328,512,313,426,845,254,957,768,971,610,235,091,567,944,922,351,987,771,128,
937,506,469,828,005,895,108,960,794,491,924,556,080,566,585,700,703,155,626,
114,914,352,019,787,582,195,941,448,154,941,494,285,477,527,690,585,641,292,
409,067,333,099,754,192,265,800,977,138,510,182,193,358,190,550,818,743,382,
019,913,157,098,572,955,413,442,083,902,754,358,792,413,751,594,380,579,240,
026,078,589,590,235,724,828,747,758,672,297,933,922,792,321,852,460,804,187,
020,333,973,340,868,265,080,212,196,526,941,869,132,478,401,750,711,691,042,
358,581,485,421,977,139,372,441,272,346,169,223,024,652,387,110,349,673,273,
257,683,766,935,148,199,571,926,603,732,269,786,096,044,762,657,375,673,974,
081,005,739,660,478,322,905,219,651,505,767,151,331,635,240,111,117,030,761,
366,785,294,379,614,291,136,280,472,403,344,408,972,428,782,185,537,167,238,
420,511,826,370,246,935,137,950,367,432,640,127,649,834,288,711,466,987,039,
895,301,606,639,722,527,999,725,310,479,852,326,541,364,609,015,409,877,699,
717,521,705,107,407,394,942,288,875,615,245,420,572,498,477,736,095,051,644,
595,728,139,062,584,746,339,153,860,308,698,055,431,142,061,412,656,177,249,
568,595,174,884,947,325,828,524,163,911,450,628,911,395,731,045,581,643,676,
781,822,165,349,456,289,830,316,735,856,833,843,765,642,440,259,909,593,985,
459,627,491,709,118,047,448,493,821,825,855,111,445,728,930,200,134,261,807,
796,046,865,433,593,423,531,310,197,450,386,652,597,749,914,718,733,049,525,
213,455,613,073,033,072,349,272,572,502,155,040,776,893,207,129,189,420,833,
778,378,633,220,988,778,097,450,062,832,179,430,225,542,976,323,778,602,611,
033,501,846,629,586,520,380,505,693,181,106,892,679,288,303,194,613,648,358,
692,657,856,469,541,279,716,079,195,374,655,984,700,789,091,890,975,629,666,
878,684,074,982,499,093,443,984,761,928,146,060,375,416,352,879,572,832,819,
691,514,777,203,775,091,200,113,139,944,967,469,002,765,847,779,451,246,050,
095,020,603,792,422,140,835,610,662,126,033,290,673,138,927,350,470,971,590,
710,497,348,809,354,510,109,271,080,546,852,849,269,937,883,440,775,670,311,
822,762,133,836,405,980,321,948,431,085,640,387,851,620,084,774,433,984,854,
135,857,202,441,888,866,505,321,807,134,430,685,856,917,908,204,952,536,459,
691,211,529,388,516,133,229,637,187,281,180,977,110,173,890,095,605,023,554,
470,000,112,438,368,276,869,640,739,528,737,344,581,961,464,616,812,477,873,
393,510,527,925,955,861,238,725,169,644,708,730,092,823,754,180,687,577,413,
395,190,055,126,385,004,372,004,626,363,545,059,849,586,039,879,175,181,237,
704,891,486,567,526,301,916,204,455,157,517,552,698,046,396,716,717,911,848,
925,002,437,842,072,751,046,943,897,869,799,238,659,268,454,977,656,492,201,
804,672,383,192,278,156,234,258,049,723,899,355,857,990,630,825,948,952,797,
492,282,289,639,752,450,085,742,896,582,172,861,435,732,789,328,804,559,865,
378,663,239,887,339,722,316,837,747,925,548,121,806,517,789,428,398,979,328,
639,176,939,935,104,895,717,085,289,273,478,417,961,839,421,476,117,810,096,
934,165,132,865,351,674,119,433,579,618,739,329,629,352,190,475,811,354,545,
169,872,017,905,564,998,150,548,388,254,415,274,844,165,775,479,893,871,191,
025,071,625,177,144,289,006,770,208,167,568,081,200,004,048,032,435,614,135,
104,838,730,640,905,306,862,354,723,538,410,117,974,650,934,828,840,783,969,
899,921,252,094,604,599,452,693,255,547,625,904,179,747,758,644,354,703,745,
489,924,874,461,657,266,105,386,666,800,643,281,751,320,701,500,309,943,703,
402,816,801,377,561,605,700,517,347,395,662,027,050,784,683,435,383,819,509,
838,798,378,602,902,563,953,133,732,900,435,689,749,016,614,867,754,163,291,
252,564,638,999,260,362,356,607,913,868,524,314,255,594,910,464,154,182,577,
412,529,133,598,802,808,592,072,210,374,644,860,117,715,071,325,704,305,375,
886,351,016,739,225,539,932,821,073,235,272,749,197,119,726,976,788,500,258,
835,279,115,794,520,447,872,445,764,967,237,365,146,901,634,694,928,712,772,
133,172,831,104,696,869,848,874,307,175,811,425,523,102,827,586,322,478,140,
076,950,598,952,052,369,442,066,094,875,634,997,591,195,896,946,305,230,505,
782,866,184,804,436,424,483,241,840,980,091,912,881,211,137,447,421,699,710,
551,745,151,228,215,118,301,761,436,798,063,568,158,446,898,183,237,846,256,
301,475,444,710,048,055,413,182,865,187,662,704,503,852,033,589,403,572,082,
540,158,946,183,499,806,260,642,531,980,051,157,097,882,840,988,780,572,730,
544,164,293,798,851,784,365,495,385,617,418,257,104,701,626,399,845,677,785,
449,521,447,527,382,517,351,579,654,604,638,936,359,607,353,349,756,011,790,
207,470,066,173,509,568,584,762,299,091,827,351,423,138,733,737,776,470,529,
880,954,136,537,427,090,014,066,646,705,253,103,427,358,092,312,401,449,303,
772,887,768,882,401,737,115,843,571,461,184,642,720,560,510,268,202,107,091,
089,896,893,550,914,584,204,267,737,135,191,940,647,367,327,118,446,682,652,
087,381,316,369,949,777,687,409,828,611,740,367,537,409,712,390,974,547,714,
651,834,236,533,490,448,270,853,934,354,722,170,816,731,711,857,754,541,187,
849,450,857,894,575,263,280,796,847,553,878,486,942,841,095,475,893,356,264,
201,362,524,057,125,904,232,615,947,011,423,072,754,297,379,045,805,003,557,
724,810,516,097,001,622,582,936,607,197,490,112,959,734,408,644,500,038,009,
656,088,701,498,320,042,276,287,642,193,648,088,908,382,598,993,681,235,686,
082,516,699,768,893,636,135,385,323,481,809,274,337,816,914,512,611,202,793,
630,308,246,267,080,031,913,858,500,772,080,393,804,078,665,894,533,996,111,
230,397,539,561,613,857,923,822,770,889,354,215,853,487,578,008,191,343,413,
028,187,513,877,578,873,552,966,112,533,860,567,585,971,966,786,441,845,275,
053,499,299,124,455,691,395,879,407,899,352,382,275,075,827,704,309,640,054,
656,038,750,822,285,692,755,421,660,335,229,911,113,540,089,880,991,496,457,
327,797,952,350,723,206,395,243,975,764,331,169,717,285,120,796,312,824,883,
753,069,156,410,979,294,960,276,056,914,821,105,816,823,199,635,670,441,943,
338,885,088,713,946,083,539,935,066,172,128,533,908,006,794,376,350,245,331,
973,263,665,570,443,132,201,347,443,820,283,678,255,589,950,942,874,723,738,
989,896,666,647,817,586,522,657,323,848,303,848,105,872,100,930,882,902,442,
263,669,200,719,961,641,027,821,171,173,224,558,409,429,028,022,325,295,234,
590,593,629,473,261,441,441,705,099,908,342,124,878,836,371,421,492,691,123,
195,786,642,997,625,943,328,263,634,550,788,245,039,455,331,635,252,555,346,
946,046,282,598,866,961,513,277,480,667,250,796,213,318,009,258,877,547,460,
143,501,711,917,556,071,174,010,605,249,742,005,291,779,804,835,825,065,526,
567,720,309,356,179,502,785,190,781,028,414,356,125,923,251,084,593,827,535,
592,532,912,158,905,635,812,890,771,046,466,921,676,194,555,824,602,032,513,
300,082,876,728,181,018,764,541,316,310,728,214,428,880,949,850,901,827,156,
537,958,625,432,655,522,422,775,966,658,300,916,519,875,760,816,000,309,698,
812,139,708,042,805,963,119,219,865,660,531,058,397,741,703,821,929,532,403,
498,427,355,854,453,485,178,654,639,888,417,464,933,583,681,249,894,911,241,
672,007,273,525,872,768,013,818,897,307,649,468,968,571,001,726,540,246,495,
123,698,956,297,068,513,307,670,579,006,781,112,928,586,370,759,393,139,233,
922,229,303,138,757,763,317,599,392,872,065,078,706,848,236,460,381,960,944,
029,532,139,915,006,151,673,959,324,396,046,709,228,189,858,740,385,204,746,
011,696,309,129,246,946,010,116,965,136,691,342,470,903,435,006,715,283,614,
085,597,576,562,958,147,089,788,083,283,174,956,612,437,412,582,118,480,440,
812,300,563,639,775,196,396,018,666,523,978,541,810,078,309,906,006,655,019,
093,038,280,901,942,739,984,687,523,689,525,059,652,722,087,329,286,195,683,
146,420,828,385,191,324,157,965,500,495,759,035,955,673,989,908,956,763,012,
485,728,600,489,649,031,233,770,953,179,889,432,084,390,476,641,190,858,203,
845,414,971,461,349,769,590,065,764,790,790,776,103,139,145,691,582,649,320,
205,420,323,942,899,138,873,075,811,533,644,909,897,799,033,591,786,044,295,
660,208,676,389,311,730,605,885,807,953,700,388,759,281,737,035,192,240,326,
563,483,436,181,798,337,661,088,769,371,645,511,282,357,798,214,757,353,751,
575,749,591,213,683,114,039,772,299,631,323,541,193,135,666,187,572,198,847,
001,274,115,378,855,476,878,456,881,434,433,417,757,783,077,297,444,255,774,
049,158,869,117,614,521,732,102,738,239,338,474,321,864,803,738,674,056,971,
785,993,110,833,339,915,260,789,557,134,095,108,222,831,164,494,743,388,452,
958,135,699,015,024,641,357,933,082,489,643,133,692,281,432,890,210,120,648,
143,354,033,496,026,259,145,921,941,956,819,948,146,493,030,463,456,130,538,
180,293,667,116,656,008,227,280,507,987,237,762,703,255,375,678,328,850,020,
821,907,233,414,752,391,165,544,108,663,718,797,830,747,088,201,625,062,807,
713,032,813,742,078,434,861,741,992,118,801,138,788,786,395,505,859,085,546,
022,726,430,160,868,272,508,001,833,454,024,360,840,773,491,402,096,051,309,
117,179,098,486,966,729,372,407,159,886,747,285,978,800,172,415,754,260,814,
825,875,384,658,371,518,074,215,382,822,943,514,974,434,489,888,016,944,598,
106,712,571,886,003,089,413,280,653,222,759,596,620,783,524,824,370,343,079,
773,244,184,894,749,007,987,735,333,533,874,382,055,969,899,193,938,335,216,
169,703,627,524,899,591,754,175,090,637,101,220,686,363,913,390,875,015,719,
722,753,260,637,169,665,125,956,998,903,846,336,250,086,685,066,470,156,327,
434,825,518,129,213,049,095,370,801,456,247,045,934,481,656,667,134,703,754,
751,649,742,714,616,680,670,882,006,951,394,348,937,581,156,903,567,186,730,
821,479,374,365,550,337,623,597,942,898,783,150,408,904,415,753,101,295,329,
856,087,591,071,846,457,790,488,028,270,972,506,707,693,083,675,694,129,523,
124,214,147,994,122,462,553,784,013,711,542,699,585,584,728,541,156,302,338,
847,132,281,003,090,081,206,168,633,733,491,099,129,216,536,782,159,906,059,
141,730,977,386,204,334,245,923,167,232,035,152,952,745,646,221,192,672,554,
110,213,798,784,798,189,369,781,523,150,970,044,520,982,004,435,518,010,456,
621,596,873,444,132,847,822,353,350,012,272,398,023,985,884,291,859,232,159,
564,115,713,150,864,905,058,456,915,864,373,723,908,961,452,565,529,436,087,
008,035,394,175,162,053,070,610,578,758,010,699,657,139,299,262,446,990,240,
431,093,616,297,109,953,908,361,806,871,384,754,628,618,209,643,135,717,493,
166,237,693,488,255,757,691,375,176,983,556,777,065,006,162,411,102,802,966,
641,311,098,094,315,769,497,691,632,927,043,301,189,112,998,882,022,984,251,
323,745,667,381,193,957,982,108,692,503,890,596,778,428,653,557,393,967,832,
971,572,976,413,868,144,735,526,664,072,215,353,163,528,560,775,555,633,952,
250,584,085,732,089,954,451,734,027,230,860,589,389,110,920,820,625,607,757,
011,188,182,613,372,100,535,819,263,145,878,660,758,049,075,914,643,335,296,
683,540,104,819,539,514,277,992,916,243,245,527,401,426,713,576,549,375,550,
004,612,595,522,390,232,379,578,103,008,929,360,770,168,204,148,568,649,711,
143,729,902,578,564,384,249,418,532,729,135,543,829,790,457,840,929,338,973,
879,943,501,667,676,475,617,985,731,888,866,091,657,569,495,863,341,824,014,
385,290,964,115,864,404,486,265,272,554,002,780,836,699,399,443,166,672,372,
880,135,861,105,889,282,150,912,788,476,234,748,925,114,720,914,008,072,857,
992,449,360,926,579,091,319,832,989,725,821,747,843,350,895,541,603,345,760,
077,424,668,476,189,116,347,842,552,436,065,301,569,588,480,427,976,098,108,
063,683,315,042,964,244,088,207,138,842,752,436,762,294,649,691,625,449,759,
015,505,268,421,769,151,729,638,358,579,379,799,761,401,221,875,478,348,011,
787,268,301,044,479,787,952,343,885,418,801,743,728,662,646,084,707,818,297,
239,285,772,049,469,728,007,968,471,649,379,356,882,417,399,735,082,437,139,
084,204,706,134,896,992,444,451,993,471,790,467,997,505,339,675,965,973,073,
480,378,260,625,086,923,139,186,330,055,436,018,536,425,320,010,004,333,901,
308,812,727,732,941,854,744,979,623,184,215,542,162,732,779,353,173,805,989,
217,601,966,476,922,766,553,822,924,049,309,163,016,562,525,877,693,786,433,
775,058,030,838,005,920,038,702,108,363,156,310,764,805,695,915,116,647,762,
233,544,709,082,329,243,870,262,653,410,831,542,353,528,973,379,709,404,584,
000,080,245,726,823,856,748,383,284,649,125,125,517,998,302,032,263,300,350,
343,578,756,817,555,848,016,416,181,373,207,389,473,645,116,623,198,062,378,
954,691,772,654,130,431,669,403,128,918,148,842,709,721,625,214,446,232,201,
184,265,562,135,789,515,912,313,379,031,884,415,981,227,129,365,725,687,851,
203,760,920,249,984,943,892,683,875,154,244,312,237,849,237,862,614,761,601,
856,952,917,046,697,640,560,659,296,685,638,358,441,758,177,452,731,685,096,
383,719,277,975,166,911,896,680,896,890,109,363,661,713,986,813,039,234,983,
413,787,290,619,772,814,896,592,474,891,968,529,863,919,343,608,582,025,038,
142,224,500,594,532,118,528,182,840,863,140,464,547,990,113,808,774,057,763,
876,199,099,546,467,764,767,874,638,509,752,217,866,640,744,566,283,445,819,
024,283,431,907,259,646,805,069,150,425,037,294,297,558,808,275,260,186,400,
510,663,719,766,428,172,509,540,980,849,314,759,406,100,793,194,809,605,397,
587,541,016,984,040,320,666,389,224,952,367,060,051,771,535,967,494,321,027,
084,852,956,873,062,164,367,808,814,271,395,317,736,246,319,859,911,901,468,
080,212,625,428,657,027,971,365,507,862,377,635,080,201,438,927,322,138,168,
913,145,419,450,248,997,214,790,180,811,991,108,503,872,198,712,200,748,120,
272,153,868,467,057,036,408,516,059,053,157,191,998,822,584,130,998,638,985,
309,393,787,411,763,477,723,903,786,118,283,140,623,163,716,824,837,332,231,
105,955,774,645,643,191,242,729,023,532,525,455,705,991,366,349,674,948,072,
325,224,098,034,481,879,505,043,368,310,651,727,365,047,201,287,753,639,739,
889,170,387,893,310,445,051,560,525,582,808,389,669,119,032,881,811,456,265,
265,841,570,343,041,335,826,648,432,034,367,566,208,157,404,846,059,349,654,
520,712,592,555,620,616,501,868,494,862,496,058,275,585,450,404,210,831,374,
604,578,135,276,751,218,085,187,745,934,375,199,198,808,146,921,795,877,370,
314,536,204,755,571,097,395,578,505,781,060,912,616,055,173,223,867,868,529,
838,065,603,518,069,539,525,778,942,732,520,999,504,990,471,428,363,849,314,
020,803,683,498,004,833,949,700,081,436,858,364,671,626,954,315,217,901,355,
720,922,876,673,518,853,174,602,695,632,176,719,628,687,478,692,193,193,703,
068,183,538,913,426,331,567,380,156,730,618,156,939,523,644,205,148,287,186,
090,931,714,275,784,816,155,619,993,089,958,090,316,688,665,746,043,461,994,
821,230,015,329,617,932,080,325,268,884,806,163,162,163,386,868,992,054,984,
764,035,881,747,069,971,470,390,920,797,189,403,062,850,136,419,767,137,802,
301,312,683,380,069,650,267,622,373,926,387,216,664,035,694,334,421,545,294,
207,198,823,938,443,549,871,407,602,093,340,991,291,022,204,640,873,703,416,
140,687,546,366,850,459,708,948,327,902,608,764,328,822,922,605,391,257,145,
393,193,584,402,501,890,404,143,908,580,654,931,151,838,300,960,668,862,012,
635,756,645,708,456,539,490,513,704,208,376,665,645,076,644,258,126,517,875,
320,753,361,425,996,678,649,893,845,118,908,681,002,129,592,733,288,824,952,
894,575,553,875,460,233,114,526,100,753,714,998,462,889,338,973,677,714,280,
374,454,787,485,505,842,074,990,155,734,381,934,670,153,049,681,763,211,348,
982,475,493,690,873,255,841,686,100,324,113,174,678,283,387,410,177,197,527,
194,365,237,878,615,770,182,564,255,618,312,106,606,213,775,908,629,718,464,
943,597,620,507,208,458,788,115,445,543,665,761,585,856,104,282,643,444,895,
014,162,020,297,815,828,119,091,307,423,285,427,286,269,470,227,970,444,606,
382,000,766,712,558,741,015,601,103,914,594,066,092,263,018,930,374,704,625,
465,196,303,625,429,981,216,692,513,907,564,794,859,298,466,365,130,959,253,
833,069,560,031,171,535,511,949,888,264,174,879,176,344,218,628,042,810,928,
298,704,582,358,644,465,852,005,942,910,940,718,017,591,919,603,449,484,721,
113,898,566,540,533,504,237,551,143,573,024,216,304,517,402,728,589,652,245,
029,951,831,768,123,543,969,633,077,769,069,428,005,863,245,796,686,125,741,
253,886,949,069,409,220,236,800,344,773,638,150,591,956,653,443,412,794,515,
529,215,824,845,989,482,209,379,184,037,185,315,402,665,041,973,510,220,118,
903,586,128,825,417,090,414,938,227,804,330,242,052,014,056,055,283,957,212,
318,636,801,183,879,785,808,122,196,429,474,035,409,552,903,194,036,580,361,
169,376,007,241,755,306,683,673,897,976,676,921,489,886,005,576,010,495,998,
667,478,806,105,597,642,760,062,218,129,612,294,284,500,801,578,229,766,820,
648,485,439,152,738,881,488,007,125,177,863,758,584,482,927,490,044,468,728,
328,907,071,615,519,399,485,831,187,128,619,570,263,614,649,930,787,316,687,
014,863,684,101,437,779,118,656,083,396,861,899,778,599,701,365,862,149,856,
181,213,079,371,644,019,876,917,437,537,247,423,175,747,634,382,421,293,029,
750,307,780,235,947,900,361,313,359,707,926,866,964,552,629,708,893,481,389,
263,413,585,129,226,966,391,503,767,044,355,902,451,944,792,313,195,325,118,
801,966,309,025,748,830,943,548,944,131,288,446,501,971,108,018,640,669,259,
889,682,485,875,650,832,419,356,258,327,213,476,578,208,922,570,209,355,665,
260,808,671,697,905,263,503,554,690,873,381,118,274,074,469,903,621,457,343,
867,812,188,150,280,914,257,200,915,790,841,707,579,971,598,100,094,465,089,
204,156,619,947,138,360,918,838,675,863,793,348,757,924,342,621,702,403,784,
172,621,837,686,648,941,895,058,160,054,435,172,455,345,580,182,206,498,352,
824,940,011,048,542,423,885,008,626,798,258,593,987,231,738,429,917,031,721,
010,602,554,544,793,412,366,164,099,235,500,602,220,576,228,461,524,264,948,
547,515,888,384,963,036,610,074,654,074,077,452,400,575,733,578,557,946,210,
029,867,395,537,037,460,719,433,348,629,114,947,425,978,068,449,089,632,634,
935,160,544,563,632,764,418,661,140,296,796,882,780,762,413,801,191,992,501,
445,302,502,245,224,756,792,733,901,750,071,735,501,609,680,160,550,885,167,
548,668,229,972,315,729,211,147,555,203,053,417,671,635,804,709,525,338,363,
648,808,982,313,810,223,397,461,741,194,067,851,352,251,225,830,972,875,599,
154,272,528,986,494,636,371,498,887,091,685,557,717,768,196,425,500,418,941,
353,311,926,720,838,875,568,917,990,718,175,862,843,072,147,928,420,666,622,
705,979,402,865,756,989,238,039,274,366,285,366,850,815,247,817,685,185,392,
002,610,430,890,250,133,912,597,895,993,369,569,435,666,592,567,535,841,657,
210,743,976,053,795,931,769,068,269,703,164,871,401,279,914,962,375,498,117,
630,274,827,793,935,149,492,117,677,748,675,364,577,800,370,299,271,255,444,
909,131,645,148,852,004,040,642,741,298,036,170,717,425,528,949,766,126,511,
573,807,118,531,148,476,628,743,323,815,589,542,569,822,538,221,142,195,604,
810,294,004,371,553,014,857,621,458,104,700,287,601,825,593,153,076,177,877,
741,102,000,126,091,977,589,336,681,467,746,756,829,062,873,135,839,046,292,
994,751,861,334,868,493,827,328,992,783,814,133,911,784,224,151,218,510,845,
938,949,417,526,867,219,293,810,725,184,393,979,138,927,779,365,363,255,921,
101,841,485,216,423,375,741,242,961,394,248,932,137,517,623,595,132,565,128,
643,791,470,392,320,684,556,979,887,009,819,067,522,623,575,328,370,057,245,
066,565,387,485,724,823,848,553,786,082,332,089,393,410,513,788,322,797,100,
731,040,188,004,320,810,795,543,374,520,315,075,685,488,287,065,400,060,803,
058,614,045,318,111,373,856,191,522,620,340,329,713,319,211,045,194,659,865,
229,818,873,317,982,595,736,842,638,025,861,022,429,446,540,495,745,277,266,
886,166,457,965,249,597,753,635,923,819,653,018,647,628,434,891,405,218,003,
033,338,468,736,329,186,856,112,904,293,059,041,079,362,754,364,412,800,711,
142,899,973,358,074,410,410,622,805,555,670,906,075,490,535,864,074,850,425,
432,393,168,038,344,683,272,831,866,055,769,154,183,962,063,662,796,667,874,
934,812,896,006,012,349,485,881,914,758,030,146,808,779,923,800,829,420,746,
165,944,147,656,470,340,423,488,684,248,206,420,344,126,091,015,247,598,770,
530,916,555,934,733,985,535,787,936,992,113,055,898,242,637,199,764,921,999,
784,181,356,436,437,971,804,059,591,986,810,396,356,971,496,527,051,017,801,
312,522,236,069,629,031,231,562,138,278,963,052,908,850,242,685,679,983,989,
758,202,395,835,430,641,897,583,548,606,621,218,904,640,852,696,355,993,950,
780,230,957,615,110,208,176,773,263,615,556,414,106,118,114,962,688,708,810,
264,699,201,857,989,883,144,549,242,115,395,578,468,815,468,772,454,769,778,
127,036,056,577,744,023,786,953,767,988,472,517,827,648,871,365,172,092,255,
158,296,703,400,264,978,835,024,052,738,350,647,814,820,543,408,416,636,180,
232,592,158,713,067,740,530,798,799,932,817,928,868,204,681,917,995,187,425,
527,759,703,607,051,989,796,227,291,686,016,746,250,062,496,420,391,043,757,
956,141,587,041,318,289,394,185,326,187,460,530,318,230,108,092,545,458,053,
039,414,468,953,601,328,675,914,488,620,703,622,354,604,263,016,623,672,006,
542,889,458,761,982,602,768,459,935,699,235,626,909,339,448,394,008,082,209,
969,941,784,272,324,419,296,819,481,133,285,174,646,282,908,874,620,957,653,
264,628,585,449,242,008,739,125,904,981,700,830,268,847,424,070,537,891,773,
641,260,230,566,521,524,648,467,245,615,187,064,372,145,053,974,551,344,178,
339,623,323,588,927,912,260,083,717,993,467,652,839,522,304,676,891,964,153,
971,262,707,048,276,783,302,655,734,624,196,106,103,664,649,726,265,192,972,
326,481,877,084,527,228,487,179,838,066,351,736,809,588,078,969,499,221,155,
497,997,720,528,422,059,912,960,454,840,008,895,118,018,082,718,694,503,851,
060,480,904,128,172,493,444,452,794,016,330,980,783,718,789,045,034,626,885,
569,110,251,041,665,820,536,244,523,084,348,401,487,290,903,012,772,305,291,
094,135,915,464,169,098,121,772,456,921,521,784,812,892,539,469,258,256,047,
041,367,788,904,792,132,268,834,640,348,983,599,566,399,224,596,796,256,243,
406,218,825,463,114,029,604,224,517,171,988,474,696,746,981,996,056,768,910,
754,603,290,987,180,290,822,788,596,663,410,955,529,624,939,978,880,128,867,
446,192,164,332,897,495,447,252,158,183,045,083,463,506,649,842,636,399,656,
804,745,106,981,128,308,276,060,703,940,826,506,457,266,405,017,757,621,095,
302,669,908,940,883,047,748,919,725,081,624,760,650,817,199,754,587,831,952,
557,213,036,959,976,764,159,930,748,181,448,144,945,463,712,990,990,439,218,
351,045,071,588,222,935,759,199,156,714,255,810,683,938,280,167,615,746,357,
853,428,443,699,338,695,546,626,844,141,063,030,427,997,376,580,134,191,783,
650,416,456,235,108,333,849,109,079,766,590,786,710,322,625,568,036,359,146,
451,187,986,602,372,393,367,790,494,515,446,787,249,742,376,703,484,229,308,
663,877,352,341,535,121,660,383,206,590,666,569,021,002,277,943,933,676,448,
661,429,230,975,647,589,548,480,906,609,328,659,497,856,405,810,239,649,935,
081,026,968,116,135,699,854,441,669,984,391,898,324,264,975,139,234,347,377,
918,558,561,682,488,838,507,482,341,042,229,241,093,675,188,129,873,104,943,
509,761,838,434,777,524,570,887,910,482,576,527,373,254,122,075,934,511,946,
452,669,372,772,157,396,654,480,732,787,137,416,664,765,947,862,419,056,833,
881,195,499,459,603,847,577,981,130,730,524,495,876,802,933,756,519,413,731,
142,645,244,217,938,177,656,206,821,191,554,241,584,955,406,241,201,731,162,
753,780,574,543,859,811,593,619,544,825,961,773,289,532,129,034,359,472,336,
704,007,020,124,148,772,371,963,291,726,569,943,798,964,080,986,489,534,285,
898,928,767,953,137,312,115,187,753,928,049,760,160,298,184,083,581,841,981,
337,136,866,611,545,859,474,054,547,522,388,341,241,661,333,173,010,442,315,
310,660,961,807,111,673,734,644,523,540,830,182,874,530,876,415,490,002,315,
645,391,026,237,308,647,986,798,051,201,825,982,332,038,584,123,089,334,534,
390,264,238,088,985,062,827,823,697,103,210,552,060,791,605,621,772,525,762,
761,679,203,228,355,286,989,511,868,969,821,869,979,895,575,994,966,783,085,
540,063,226,546,650,243,533,251,463,126,361,799,543,466,461,787,719,484,477,
335,852,404,048,948,526,981,130,667,352,237,296,133,254,895,329,634,954,590,
280,616,386,770,678,581,428,945,617,275,569,034,773,086,898,776,533,863,260,
669,058,742,651,987,428,237,156,158,295,520,315,289,470,857,399,339,125,052,
992,243,158,413,504,145,414,986,610,840,569,520,103,958,322,769,037,312,142,
362,512,551,914,493,593,011,862,169,292,816,981,315,107,934,578,164,378,600,
969,886,234,316,967,881,424,437,687,557,181,973,628,157,699,938,760,822,731,
818,901,666,640,083,130,096,167,000,692,614,685,987,968,074,285,824,915,888,
897,285,868,007,010,094,952,448,609,571,193,259,914,658,457,368,733,231,812,
431,738,468,417,153,031,365,757,951,049,647,761,574,403,774,949,810,929,831,
798,628,607,875,322,375,508,345,734,570,125,709,664,829,346,187,979,146,930,
673,614,846,732,233,982,127,344,745,327,167,782,462,325,146,653,195,840,826,
654,410,632,730,890,107,551,294,178,694,467,936,554,161,768,455,131,571,162,
092,726,927,422,775,633,223,009,418,359,235,840,414,079,085,534,760,911,184,
245,052,270,091,086,176,637,540,752,952,302,783,413,431,696,505,743,025,074,
637,935,842,344,144,757,618,481,870,120,808,240,674,918,327,105,463,436,882,
125,714,320,755,945,094,808,835,012,831,830,256,313,123,316,776,073,402,365,
645,054,245,089,900,131,755,850,125,123,640,052,501,991,270,041,538,389,331,
625,922,595,878,524,656,284,068,020,760,662,782,036,046,813,358,432,098,199,
185,828,192,679,255,861,941,320,790,513,451,110,404,669,240,383,213,631,462,
681,340,111,673,636,494,067,221,227,399,285,261,085,273,502,481,274,290,631,
969,629,032,347,196,719,812,876,968,691,870,887,777,487,274,569,551,477,491,
504,036,641,562,679,336,737,308,064,738,521,259,727,797,841,485,304,307,489,
778,074,792,492,148,594,679,381,793,525,773,115,747,949,816,563,527,628,943,
028,364,101,623,655,112,643,509,158,543,512,054,305,307,433,399,698,476,697,
200,102,861,329,526,096,617,713,674,277,991,897,089,251,919,273,716,843,020,
382,232,941,547,546,011,119,705,954,646,477,132,594,080,990,806,763,566,915,
732,093,534,050,394,098,562,300,057,541,539,004,021,466,560,582,448,722,444,
576,020,023,320,538,778,811,772,737,770,598,795,620,856,935,040,409,899,356,
785,950,261,943,265,009,306,995,010,028,687,126,524,726,388,042,723,791,627,
091,388,516,384,228,604,478,766,828,687,708,745,252,658,909,118,975,224,122,
104,833,895,200,065,611,671,888,957,155,161,155,910,427,147,633,143,310,709,
041,365,673,545,623,270,426,128,561,107,822,383,857,655,554,507,391,137,370,
287,848,182,520,130,546,559,265,235,734,753,935,832,883,365,130,290,360,652,
196,022,131,205,648,550,790,581,174,484,560,697,942,019,533,517,081,699,595,
234,773,285,143,414,217,703,137,215,335,765,134,948,305,206,486,376,292,693,
415,273,681,533,536,289,428,846,948,752,574,373,487,325,704,799,619,110,259,
513,013,318,998,564,809,638,498,914,893,757,663,264,737,804,548,946,851,216,
235,996,220,287,111,896,673,894,989,192,825,047,338,748,675,488,333,032,438,
885,008,041,776,744,628,164,011,876,043,820,180,211,680,418,250,346,056,849,
939,338,639,546,986,218,795,215,315,651,219,034,210,525,644,601,074,547,248,
703,759,116,832,085,429,646,332,554,834,558,008,639,428,188,821,059,752,940,
634,282,978,066,681,326,075,415,687,187,409,164,330,992,471,402,601,050,638,
488,115,175,824,088,725,152,284,571,929,883,132,117,294,352,394,270,910,168,
352,243,523,116,322,626,303,545,155,811,130,258,813,153,856,122,381,550,086,
502,910,395,305,999,973,815,463,643,540,879,704,372,015,659,072,994,214,339,
609,815,585,891,660,821,755,501,029,687,359,175,914,125,497,616,705,959,804,
566,167,212,143,878,540,200,192,784,645,968,731,590,647,854,860,413,052,317,
837,947,954,049,110,892,515,389,117,587,721,155,908,394,303,244,310,276,348,
414,322,046,313,787,125,275,472,592,744,935,427,825,608,003,184,703,307,857,
973,332,595,793,690,738,805,922,048,413,643,545,018,737,794,706,402,548,630,
098,249,942,228,355,613,808,325,304,407,337,251,099,982,813,343,549,837,991,
134,184,210,914,980,409,933,948,664,360,400,171,511,327,220,447,424,052,833,
975,988,984,870,745,456,423,902,743,974,497,720,898,991,556,221,617,461,336,
067,059,891,989,723,751,113,107,022,047,015,639,732,837,519,317,509,175,551,
306,520,021,169,253,114,754,272,412,038,478,381,972,770,235,471,714,138,357,
944,163,304,672,175,605,455,983,312,131,246,810,712,912,638,446,352,011,634,
673,644,853,706,125,811,507,890,173,954,277,660,064,003,557,318,567,955,558,
317,156,294,864,849,021,232,479,619,761,798,965,803,084,561,879,532,065,634,
271,007,552,479,019,854,006,627,561,023,755,794,743,099,226,571,615,998,342,
723,594,294,659,215,999,760,826,922,087,035,361,453,840,865,314,744,092,434,
504,776,255,368,186,342,493,919,821,146,313,931,149,032,681,401,093,195,423,
107,644,116,351,392,316,038,536,737,254,429,919,653,759,312,203,060,639,063,
847,015,284,240,243,983,432,254,359,504,521,240,517,707,151,371,202,751,734,
629,451,174,858,221,308,250,049,556,623,827,709,533,660,921,709,741,875,150,
463,342,379,951,397,081,483,386,392,077,001,432,225,692,929,870,721,143,087,
866,710,288,274,102,632,837,348,875,964,557,864,969,040,410,142,830,677,959,
901,923,551,612,555,907,308,105,641,017,568,535,318,617,037,582,739,318,679,
198,399,739,269,744,833,902,723,815,660,564,932,354,401,511,320,103,376,526,
308,885,533,690,274,405,456,539,880,076,131,944,352,093,479,847,341,247,023,
816,132,162,869,563,980,443,766,649,014,630,697,884,290,540,741,261,876,582,
367,427,520,908,323,399,107,107,805,420,370,021,663,062,468,277,865,490,596,
542,451,198,296,413,809,429,554,537,444,010,228,104,506,400,848,157,667,844,
474,375,267,078,135,980,451,323,361,276,249,254,216,271,425,949,978,675,539,
864,080,513,661,998,938,841,274,572,674,682,962,359,457,042,219,394,550,833,
221,323,563,715,081,167,173,760,828,853,344,237,443,151,269,036,092,092,549,
816,696,772,577,084,826,705,024,592,016,814,307,509,003,777,558,310,103,177,
996,495,048,690,249,849,023,991,595,353,861,176,320,857,916,091,004,862,571,
333,190,482,197,213,863,829,521,055,578,352,084,923,355,813,439,837,330,281,
523,172,354,361,259,690,006,187,640,583,759,302,927,004,970,642,015,313,527,
204,182,224,530,033,271,474,776,946,589,725,520,500,240,803,022,543,893,059,
134,934,014,896,988,506,679,751,197,939,176,887,134,369,721,246,001,982,647,
318,055,097,465,551,689,043,493,869,742,911,701,531,079,431,779,957,158,862,
433,173,645,767,899,547,782,824,879,912,777,950,017,730,341,291,732,469,211,
941,900,923,884,577,370,884,998,251,860,575,925,528,778,546,394,298,755,683,
930,183,634,894,047,878,545,448,874,816,219,076,618,807,816,863,149,122,650,
268,913,510,720,937,349,086,838,907,623,662,243,240,687,184,407,780,819,240,
507,626,128,130,554,073,959,457,703,349,293,720,276,771,223,622,937,602,454,
138,392,104,183,504,261,590,691,270,776,242,811,582,720,404,870,040,416,530,
883,694,886,231,911,579,014,846,975,648,230,030,555,903,905,952,953,394,322,
887,928,566,641,584,354,531,110,189,232,566,726,500,316,863,535,825,561,700,
293,557,252,630,607,209,546,402,000,050,249,867,961,427,383,900,281,155,862,
922,225,528,651,665,035,862,444,959,641,095,198,631,088,342,962,794,259,970,
793,060,281,846,228,754,387,551,773,428,228,177,364,330,103,958,149,833,208,
975,685,344,455,597,876,960,636,947,149,073,722,721,086,069,770,639,167,525,
998,604,859,343,340,523,690,790,200,144,174,938,193,619,133,225,499,272,174,
139,968,857,067,263,474,684,822,741,977,082,381,482,776,360,062,260,785,081,
070,632,574,860,911,707,921,615,314,529,205,189,990,637,076,998,676,411,045,
290,846,567,902,058,111,455,935,942,916,972,711,735,587,928,078,851,844,312,
409,345,158,986,623,544,653,463,133,968,454,178,187,327,279,939,324,198,994,
658,085,066,233,991,965,906,254,473,690,378,509,364,272,586,912,156,402,382,
055,000,346,653,609,518,190,967,847,336,933,136,068,980,084,082,200,849,438,
869,399,063,086,039,841,353,291,487,271,760,394,498,872,341,780,285,728,953,
469,964,666,192,617,590,734,556,209,050,550,850,868,245,760,655,451,690,413,
932,859,716,911,292,296,069,377,566,205,558,947,292,205,658,810,232,955,313,
275,901,099,491,729,103,254,037,901,433,984,445,322,145,522,679,439,039,913,
509,280,563,396,248,238,106,508,259,266,609,669,833,632,024,704,885,525,892,
609,967,469,633,623,903,839,781,585,717,768,657,086,079,026,637,665,150,994,
617,456,004,284,298,508,501,252,795,770,025,869,038,749,113,012,107,608,704,
027,153,720,052,822,370,511,549,325,020,099,202,745,143,130,927,221,480,978,
083,438,858,963,614,294,362,934,688,005,798,242,980,566,964,596,911,948,099,
555,474,860,243,565,079,303,202,540,109,746,487,425,658,457,998,406,218,953,
763,718,655,023,689,201,639,362,832,807,360,674,854,120,891,528,702,394,414,
821,283,763,021,229,789,150,662,570,410,903,335,704,769,221,086,477,299,244,
325,587,968,030,871,633,944,208,148,609,363,819,863,158,801,788,326,748,138,
632,061,199,668,307,727,632,225,262,712,609,402,270,868,929,495,910,359,841,
137,988,320,341,414,570,071,900,817,826,124,654,766,970,684,918,304,567,990,
911,864,645,504,041,685,289,061,175,643,961,716,041,017,334,221,851,820,559,
936,174,062,997,339,883,921,397,858,296,048,929,109,233,727,044,220,019,679,
426,640,733,579,448,018,552,196,456,822,032,764,047,284,887,549,150,807,174,
276,115,890,807,723,516,671,611,884,184,742,535,100,107,326,707,586,926,967,
658,271,391,887,876,219,262,589,105,155,369,193,745,891,377,303,273,340,389,
363,076,734,135,422,842,583,280,983,764,728,505,104,994,573,253,972,038,162,
876,006,513,217,942,986,666,672,534,793,212,949,069,304,720,193,739,604,956,
608,564,321,443,768,728,338,103,613,253,613,943,707,400,062,160,562,022,648,
896,736,095,739,139,591,999,235,617,315,357,325,473,534,756,203,037,426,650,
750,401,115,607,168,522,539,686,747,838,712,350,111,060,566,419,634,695,199,
155,584,130,854,846,742,451,249,114,564,469,219,945,281,577,220,979,616,370,
202,946,104,100,753,977,873,042,819,307,128,692,959,022,912,783,156,202,481,
895,925,341,294,881,167,995,656,807,088,911,591,500,987,131,397,518,541,626,
373,608,169,997,108,575,099,420,048,495,364,569,271,852,510,289,483,263,282,
672,984,987,465,864,593,974,219,158,550,111,927,976,484,485,835,843,831,616,
541,914,934,265,662,295,933,332,627,482,210,880,635,678,042,638,702,929,310,
529,778,726,240,781,528,349,374,076,045,174,215,390,837,695,950,538,316,132,
470,559,182,741,744,452,122,577,825,834,348,094,447,060,363,375,355,721,511,
099,018,225,100,833,430,061,660,026,245,353,217,865,623,281,416,038,081,238,
885,468,360,770,564,926,527,690,959,368,870,898,676,776,975,510,080,544,114,
097,040,163,393,320,067,280,840,678,304,106,453,462,848,909,285,615,944,614,
920,888,780,828,308,150,796,950,689,423,102,980,023,921,610,456,308,128,856,
110,444,123,904,563,941,487,982,895,365,575,401,482,944,071,833,579,797,228,
400,876,938,447,933,044,937,456,000,374,030,931,075,194,851,469,436,170,905,
472,353,133,992,652,530,186,372,439,570,858,041,771,566,165,997,669,353,374,
138,095,428,131,693,378,854,478,410,971,899,782,964,289,207,692,587,192,270,
031,834,941,076,412,806,145,074,115,670,988,660,949,213,516,670,303,576,497,
819,881,025,958,385,685,528,362,593,127,372,776,829,933,493,995,051,976,607,
979,391,716,017,398,555,302,721,121,522,906,151,941,555,711,653,683,802,644,
849,469,379,757,985,251,880,661,880,180,101,133,707,964,245,367,035,404,366,
696,807,107,979,046,986,234,814,953,055,226,837,065,656,315,362,949,256,944,
600,779,912,570,848,830,672,720,555,791,405,257,069,062,817,994,123,933,784,
199,348,200,208,608,062,621,484,480,490,033,705,141,647,411,124,552,883,428,
588,862,462,499,734,917,836,602,193,961,789,052,742,771,639,460,010,065,391,
174,823,968,448,848,167,945,565,115,865,522,963,883,742,918,258,289,213,017,
630,177,576,280,353,183,895,173,670,475,751,979,954,129,790,515,913,197,196,
934,072,740,996,493,345,848,417,912,376,065,624,219,012,997,289,614,969,717,
938,326,893,676,529,703,669,581,421,280,566,115,755,343,808,039,814,683,567,
848,826,350,540,267,960,668,827,948,964,489,885,238,434,628,230,960,268,597,
897,992,754,975,009,148,092,601,653,278,656,943,935,973,825,652,500,487,480,
301,102,004,087,427,311,903,044,642,652,523,791,437,654,708,735,032,780,587,
894,448,163,251,465,085,470,787,917,202,007,403,205,033,754,880,215,064,347,
087,621,914,279,091,969,044,023,604,093,871,044,209,930,154,262,889,611,034,
180,253,962,635,711,212,328,675,999,020,781,501,066,166,538,053,003,663,422,
622,514,716,909,950,124,698,169,236,147,472,901,729,763,970,979,434,371,718,
180,324,058,870,129,564,228,935,876,329,376,734,810,764,221,189,778,281,467,
819,753,432,592,286,507,338,781,896,178,529,525,089,825,395,367,769,306,045,
580,584,082,754,861,514,159,703,140,023,486,723,107,685,716,161,181,574,356,
793,744,352,840,700,605,647,398,194,191,151,429,286,153,468,837,708,652,675,
544,113,392,415,466,035,980,924,414,778,977,641,417,897,025,443,376,649,392,
328,454,939,884,379,412,646,979,864,494,988,268,385,302,526,624,512,388,241,
737,156,273,748,417,836,147,474,822,134,318,048,115,585,305,418,096,270,246,
510,219,463,514,860,034,820,104,124,249,454,227,621,411,715,108,925,434,101,
694,009,049,354,734,716,217,875,219,840,538,007,143,161,102,719,805,472,754,
586,830,258,094,165,596,676,174,191,949,290,682,024,909,776,147,160,100,886,
301,131,436,654,726,155,548,532,411,308,744,517,139,041,195,378,653,394,008,
894,033,141,015,568,406,715,996,990,192,114,903,410,207,076,402,269,536,098,
267,931,100,656,993,847,036,650,011,523,996,946,675,151,779,722,319,347,015,
621,750,476,509,459,966,033,808,400,473,618,703,682,481,791,690,982,014,238,
171,228,789,892,772,668,605,269,276,694,464,953,481,948,151,814,662,069,007,
490,092,823,986,668,475,011,744,001,262,789,178,757,038,007,370,872,627,553,
849,960,612,534,653,931,146,184,273,392,513,500,511,214,936,848,948,960,598,
598,115,431,817,349,160,730,050,611,292,629,574,241,556,177,268,541,360,402,
637,913,113,560,898,615,518,512,471,307,372,562,014,299,100,250,056,880,750,
724,324,296,783,331,405,934,849,413,375,271,409,503,930,301,378,169,530,493,
866,944,329,783,812,723,142,633,374,219,592,032,888,508,507,009,113,198,440,
268,137,427,434,517,419,974,371,596,719,596,060,295,108,650,509,224,484,108,
401,448,702,542,708,844,440,277,593,996,822,743,290,173,867,467,786,674,202,
867,688,766,227,541,331,380,495,805,863,837,531,881,693,676,450,409,501,679,
947,240,596,076,300,121,954,051,395,356,935,950,945,338,826,139,126,701,267,
868,055,848,648,579,427,952,880,845,284,470,027,648,972,263,090,042,568,301,
422,669,366,040,176,933,369,140,739,560,225,196,307,918,168,048,919,739,432,
858,429,244,961,554,579,330,145,467,450,447,473,861,774,183,912,750,381,589,
776,389,204,760,390,392,585,798,368,314,870,090,523,469,761,258,178,923,121,
231,735,095,453,430,717,414,826,975,178,010,242,769,019,157,582,020,863,640,
222,192,237,841,489,661,717,121,910,184,381,598,938,993,525,263,266,406,043,
209,229,215,498,280,248,994,692,304,479,762,839,836,342,014,621,379,891,792,
477,181,401,212,131,859,018,158,265,916,554,914,055,630,414,455,610,499,238,
146,486,438,399,213,577,188,715,795,428,949,621,828,556,053,698,373,965,144,
580,345,008,453,065,960,129,720,909,650,495,780,074,894,843,587,779,796,128,
350,653,751,289,233,133,134,199,306,197,470,717,611,873,942,223,663,246,989,
790,206,207,252,446,942,484,491,751,539,154,116,196,152,410,977,026,615,327,
120,992,672,062,214,445,179,765,882,112,643,552,762,715,340,835,019,685,213,
528,465,316,866,201,229,979,381,259,303,967,711,787,595,079,846,556,731,108,
247,305,780,274,853,781,729,083,560,439,518,469,612,208,527,064,174,673,354,
244,695,667,346,053,777,165,387,770,960,142,730,827,258,382,219,835,869,546,
716,139,944,994,238,642,644,784,687,748,839,140,197,651,056,295,624,604,471,
101,203,026,393,702,546,778,734,061,499,453,077,749,987,318,874,463,288,270,
410,815,726,485,882,748,386,033,218,315,679,867,749,775,504,068,887,567,626,
903,079,725,056,928,748,267,264,373,248,376,667,167,027,487,707,558,680,580,
589,894,409,942,336,033,159,861,620,039,708,284,150,115,514,325,267,845,681,
207,314,016,284,745,048,030,290,824,076,680,225,393,645,396,894,205,529,914,
812,482,801,366,262,666,648,504,519,324,792,966,102,224,220,075,912,611,053,
211,381,423,300,126,713,136,674,221,129,246,758,227,254,344,354,219,653,317,
603,867,015,208,968,234,582,369,082,524,352,690,015,827,310,834,350,284,064,
690,103,716,878,216,079,872,747,884,796,091,941,055,286,818,025,754,601,321,
605,664,893,238,842,153,172,447,239,957,044,019,596,410,734,677,396,984,881,
250,442,851,171,714,416,467,074,636,218,174,364,147,028,300,981,782,246,132,
231,814,814,540,553,971,541,600,774,733,431,448,984,949,576,448,840,112,721,
777,309,555,760,188,403,647,867,401,600,246,951,725,635,190,195,524,255,974,
195,375,310,737,845,920,253,144,336,879,115,349,317,011,730,684,245,105,584,
543,319,579,629,241,394,834,611,269,673,311,508,429,415,515,182,119,607,655,
728,298,345,103,771,654,546,271,846,452,412,485,065,401,555,677,109,684,700,
326,454,910,067,229,060,305,687,270,813,373,141,616,348,661,450,455,292,493,
015,876,863,384,840,277,071,917,721,735,464,523,114,859,848,448,608,687,515,
814,437,928,522,030,325,840,547,244,192,659,936,972,760,988,047,638,304,420,
647,952,801,852,235,692,453,465,448,558,427,547,122,790,911,219,619,458,314,
437,630,779,273,402,826,073,339,606,708,952,048,420,444,717,369,816,794,708,
556,528,660,074,758,555,839,297,163,135,880,239,334,294,684,200,695,778,652,
464,804,019,190,385,150,453,792,392,456,005,433,666,904,723,464,838,564,505,
148,700,796,774,445,356,897,237,953,784,253,657,596,596,759,168,782,863,178,
390,357,024,326,603,590,769,418,523,273,312,772,317,846,843,149,687,683,953,
471,799,204,106,326,219,158,043,235,819,351,102,983,057,781,090,871,821,893,
302,396,902,437,857,378,120,813,361,424,252,806,350,119,530,040,267,399,495,
803,630,236,334,378,311,366,291,998,160,737,414,484,276,837,913,774,649,478,
196,758,719,273,770,289,125,197,934,819,923,926,235,972,209,572,880,635,333,
577,876,939,554,683,745,362,009,110,391,880,351,817,304,902,372,593,878,036,
645,084,063,057,826,658,133,561,731,637,227,142,087,378,488,708,547,345,262,
607,175,973,435,805,912,054,140,524,915,023,625,854,386,106,456,502,009,772,
699,111,261,150,195,915,248,022,483,577,735,936,869,582,894,842,905,785,953,
618,239,296,560,280,532,214,239,222,103,021,904,687,517,837,620,224,670,867,
290,771,754,225,678,405,048,959,253,386,669,388,715,903,538,595,843,862,890,
078,250,209,340,661,595,110,271,459,982,647,362,494,996,632,319,778,713,630,
889,280,937,320,353,097,529,996,457,379,895,954,667,350,082,859,818,235,680,
729,229,705,504,618,378,377,990,082,282,901,700,033,970,276,689,113,908,507,
798,356,469,603,481,682,198,678,013,828,841,183,538,360,552,661,317,085,053,
557,829,828,283,629,595,583,626,125,695,262,683,703,134,128,476,533,731,014,
740,104,842,727,810,293,771,048,100,694,256,364,949,721,950,130,979,278,912,
292,713,115,575,912,132,700,322,933,175,138,363,767,303,153,238,895,458,276,
087,462,112,774,773,589,308,858,383,791,624,279,941,509,081,201,568,026,437,
626,920,058,603,318,622,897,564,791,309,203,703,572,065,421,840,163,641,072,
698,594,852,995,183,898,632,016,143,654,568,171,681,584,981,752,207,834,036,
217,815,510,906,214,894,643,164,976,739,915,684,231,404,380,294,494,300,986,
536,119,483,545,695,315,708,979,523,798,689,994,911,047,097,416,937,240,920,
929,883,265,857,012,441,137,721,504,077,994,857,503,614,830,819,425,021,619,
971,189,464,134,672,263,164,369,123,460,050,723,569,575,901,974,736,502,949,
188,957,937,550,320,061,175,957,111,300,538,331,416,002,804,435,970,349,208,
920,172,403,552,443,804,852,151,390,521,483,312,383,781,761,180,876,662,528,
289,438,778,716,543,480,299,460,115,581,812,710,056,800,177,739,300,754,065,
583,672,370,343,716,058,226,964,552,762,106,630,296,244,967,934,475,334,909,
639,350,449,232,413,059,607,593,304,721,014,627,764,298,405,040,661,877,308,
440,943,420,734,672,204,388,273,846,145,216,441,019,169,739,419,339,146,095,
108,446,748,612,410,935,512,928,200,869,418,088,048,261,329,445,225,149,018,
755,745,056,083,698,749,118,591,440,359,470,807,206,033,856,515,908,550,070,
525,296,385,146,144,157,250,688,441,089,571,535,249,602,491,926,998,337,904,
905,202,708,523,396,205,192,651,191,394,421,110,361,514,647,977,300,948,645,
148,501,393,524,715,850,770,015,172,559,785,388,517,856,268,533,049,448,271,
609,438,478,408,813,821,223,774,744,198,365,809,482,286,018,348,237,030,931,
003,456,061,392,329,626,151,105,715,219,611,683,926,764,097,513,695,535,797,
541,377,655,907,342,650,358,037,196,829,956,756,869,092,983,999,899,122,164,
194,613,553,060,138,642,460,721,923,161,528,508,675,040,633,517,579,012,139,
658,930,943,908,594,039,497,291,943,451,603,069,000,707,337,404,542,265,331,
550,196,238,155,291,343,985,424,175,471,744,670,615,163,182,269,092,924,054,
222,107,021,150,734,499,445,138,655,749,855,759,023,088,430,093,849,830,001,
738,002,382,087,044,667,526,319,168,571,152,087,008,529,773,014,919,945,648,
471,936,602,032,183,493,382,625,897,122,508,915,851,555,064,664,120,274,496,
125,393,285,777,544,944,286,849,927,838,260,427,379,125,738,904,271,006,341,
294,222,677,958,617,543,868,338,815,457,536,967,080,969,605,857,600,376,149,
271,948,077,851,884,540,187,458,119,885,944,824,860,751,543,002,997,881,958,
250,354,879,855,040,886,869,141,318,987,921,485,610,846,393,350,520,748,385,
578,517,623,315,526,237,246,536,240,463,409,370,275,590,178,041,563,217,436,
480,836,928,574,528,187,241,155,085,280,870,285,706,751,749,324,189,813,912,
816,951,356,594,878,242,561,904,717,292,065,036,462,393,011,072,673,183,024,
675,576,960,189,914,551,927,507,882,430,754,232,565,439,561,341,739,975,718,
017,930,238,211,059,101,314,431,079,177,232,544,136,693,047,210,664,250,009,
578,002,078,802,898,367,675,593,552,603,761,793,025,494,105,749,073,795,539,
659,767,175,951,359,235,825,709,165,393,670,794,319,405,181,533,385,221,183,
063,757,195,640,517,555,499,894,122,222,256,904,992,898,397,020,533,472,991,
554,280,071,376,746,563,151,397,815,866,415,385,892,432,800,408,284,896,134,
308,069,311,784,289,813,095,612,014,930,421,239,555,971,006,192,465,970,475,
774,930,452,510,470,941,505,551,403,718,104,833,254,035,690,496,533,971,723,
729,192,346,623,965,374,723,055,613,129,427,499,481,711,087,528,340,960,037,
878,614,044,550,511,031,698,128,724,713,719,123,915,944,883,168,542,463,088,
856,894,676,435,259,025,069,564,947,885,184,436,626,794,974,054,610,384,282,
680,270,878,668,989,473,682,323,857,857,248,776,611,894,871,106,296,988,450,
463,473,230,429,297,164,142,182,268,786,199,960,915,820,974,857,414,171,049,
635,513,318,509,498,177,660,837,646,647,824,037,148,012,427,509,515,912,236,
430,974,262,868,616,736,617,172,466,510,184,809,147,320,973,746,045,985,432,
902,765,884,427,497,683,401,381,762,447,014,386,455,788,856,418,194,926,992,
195,143,404,327,921,572,795,835,895,918,746,391,841,883,847,643,770,075,118,
822,645,010,302,688,109,279,037,995,468,259,463,086,960,662,145,635,831,475,
289,935,256,518,854,417,530,094,117,275,619,288,141,819,229,748,236,871,355,
377,170,817,866,074,650,444,118,911,651,201,839,722,498,566,070,992,362,722,
752,700,309,656,810,703,672,937,646,174,220,154,118,775,882,550,783,425,668,
511,856,917,148,979,765,347,517,716,974,046,048,333,776,340,591,246,482,806,
159,935,607,648,667,272,194,610,232,192,381,820,230,387,407,710,925,303,538,
216,597,491,867,180,931,576,062,209,956,811,776,393,183,113,667,874,122,352,
395,707,134,800,042,000,623,634,343,847,163,405,031,823,336,503,049,717,571,
631,974,593,523,291,794,903,878,541,835,356,428,691,102,958,524,009,440,979,
456,935,071,383,565,320,224,475,719,866,428,222,806,126,820,986,420,099,826,
760,040,647,631,071,704,490,134,789,533,820,396,429,794,067,741,521,151,775,
171,784,441,046,959,913,649,362,819,943,702,592,089,945,968,652,394,951,401,
752,288,379,830,199,505,322,156,233,164,415,423,633,974,599,906,563,683,231,
089,078,785,234,351,872,097,432,583,037,489,977,669,895,312,989,558,311,494,
670,208,436,490,506,219,826,626,852,958,745,803,435,200,495,129,218,404,454,
073,163,558,865,309,296,462,952,554,749,733,231,502,528,956,159,645,902,038,
424,805,366,826,966,556,343,888,924,590,386,268,754,184,345,423,779,828,236,
726,771,479,438,231,168,957,879,888,620,178,071,791,689,812,947,492,233,129,
742,854,288,136,804,987,756,651,571,171,209,925,269,776,922,841,361,825,708,
200,980,380,713,939,002,190,292,907,094,451,420,955,356,711,777,086,437,110,
064,543,154,032,472,715,705,487,579,911,393,264,460,973,362,628,805,884,349,
990,457,560,874,065,137,794,033,379,283,526,435,968,094,038,666,966,440,868,
554,036,476,112,086,645,570,824,524,978,868,806,447,867,489,487,645,479,470,
865,617,264,979,095,489,248,988,268,091,982,355,125,938,224,194,443,073,029,
897,799,763,597,501,772,663,158,892,854,516,683,674,963,975,666,292,619,186,
434,743,255,246,375,751,492,762,384,840,163,470,328,179,025,789,549,526,973,
864,838,772,492,704,758,019,325,650,989,995,228,656,679,916,324,932,163,167,
726,225,121,797,424,966,162,605,485,677,130,712,707,764,721,316,485,034,347,
645,239,251,534,012,048,740,612,309,600,427,441,929,891,723,498,011,876,794,
300,993,992,427,519,752,806,064,667,829,368,880,426,023,195,095,046,417,229,
816,112,378,493,588,317,601,021,618,046,354,146,192,686,806,906,514,926,446,
230,504,506,703,770,929,450,644,133,286,848,796,283,459,964,261,369,024,080,
855,070,431,343,242,575,045,190,058,423,221,005,076,380,410,490,303,782,841,
717,989,219,257,759,178,280,357,435,755,352,693,815,371,261,061,940,152,081,
380,675,220,605,286,390,752,102,838,300,121,920,313,095,180,778,058,754,375,
069,320,161,610,792,509,138,658,100,867,743,353,813,582,432,358,965,411,677,
921,748,711,627,807,346,967,806,178,268,396,419,424,739,959,938,555,905,090,
071,546,046,429,877,932,920,027,316,404,769,676,260,224,438,505,766,468,532,
898,835,755,118,922,167,511,356,250,552,631,679,901,911,810,279,186,410,945,
667,194,521,026,586,005,130,303,266,270,402,082,034,851,371,399,056,632,704,
118,310,616,568,244,135,078,152,796,821,769,251,342,070,700,052,151,554,440,
628,820,041,871,630,592,214,811,057,828,882,098,834,557,466,152,893,862,946,
608,484,125,497,561,742,357,695,495,923,097,837,678,857,433,305,606,417,860,
707,419,821,868,727,641,964,049,310,540,513,234,432,801,561,677,761,816,112,
238,706,384,362,060,128,037,838,215,881,401,405,114,997,697,918,677,883,038,
738,914,248,847,594,074,785,141,013,286,929,596,995,628,135,443,449,945,554,
457,914,952,359,565,826,033,009,095,885,818,648,555,832,209,474,718,078,623,
695,621,449,756,626,854,372,233,543,806,434,691,081,664,487,089,451,264,572,
158,734,200,365,693,202,892,426,999,147,997,736,617,786,214,210,513,446,977,
818,679,543,313,136,723,921,530,332,763,329,186,057,924,143,642,496,273,621,
750,346,486,513,638,890,851,713,713,494,302,953,091,183,817,700,726,682,542,
458,404,890,482,336,138,312,998,778,904,354,409,802,967,422,991,448,305,097,
300,128,002,092,917,837,527,084,117,101,308,858,783,266,089,537,901,698,769,
330,511,149,813,260,052,049,006,988,592,497,328,979,653,321,315,462,417,616,
768,757,581,308,200,283,486,201,517,597,575,180,779,738,745,313,201,388,248,
034,906,851,356,562,707,182,097,989,418,037,446,438,962,188,633,018,363,220,
238,809,071,806,778,099,530,487,990,942,132,281,086,195,820,659,193,669,755,
320,963,200,370,851,868,626,948,980,430,275,494,407,374,151,059,734,274,086,
167,503,590,394,366,750,600,019,481,271,699,896,547,937,544,794,151,216,050,
757,154,257,559,918,256,969,579,597,238,783,618,889,390,129,009,786,896,772,
289,928,269,502,028,183,339,548,411,792,423,258,705,496,650,099,980,330,506,
076,857,810,629,787,701,757,968,747,162,212,559,822,938,832,369,583,031,950,
806,298,107,377,879,112,267,556,743,988,708,290,356,433,493,483,938,815,610,
752,310,859,743,337,256,442,792,395,529,695,379,047,338,097,222,135,490,859,
073,687,028,161,343,292,115,386,767,772,586,444,576,486,369,522,691,417,896,
474,549,684,629,003,044,658,078,155,085,674,302,260,750,460,280,541,260,751,
250,572,678,815,770,705,637,889,057,164,326,127,983,191,920,911,179,832,862,
979,631,924,396,460,619,937,514,653,193,056,589,756,421,820,753,900,022,971,
807,783,164,152,225,421,628,167,644,610,203,315,905,545,127,968,232,219,669,
475,033,637,749,973,116,421,873,207,629,169,555,484,058,326,363,969,800,428,
434,636,970,914,800,826,390,242,722,951,781,393,096,387,886,781,794,151,122,
263,314,800,288,727,759,022,494,891,606,113,962,063,935,185,624,685,586,996,
205,100,979,216,619,869,627,325,783,775,835,460,654,538,179,791,162,639,212,
633,731,218,743,436,103,209,558,545,496,272,579,385,555,149,487,877,506,845,
601,095,278,766,407,080,690,520,771,496,463,564,843,937,437,298,761,672,348,
755,753,991,349,532,800,451,336,390,918,500,245,645,549,500,571,322,605,848,
830,523,300,665,701,985,249,340,283,376,473,991,942,567,171,135,949,946,198,
536,424,636,058,600,320,264,158,935,087,059,365,564,862,249,856,578,737,395,
084,002,015,351,770,570,109,377,108,145,740,478,804,871,003,742,412,082,330,
696,631,834,829,716,987,687,208,029,491,939,022,230,000,078,187,173,115,486,
231,777,573,053,042,629,647,580,072,204,249,343,760,499,860,072,216,038,643,
643,178,679,176,072,539,223,322,710,908,848,606,375,888,412,571,506,326,949,
516,395,282,510,142,597,513,129,718,684,924,394,985,850,450,789,279,459,618,
557,734,198,170,347,800,820,826,406,355,576,351,378,470,064,215,957,619,167,
273,910,892,514,615,762,394,123,608,228,724,350,155,160,198,516,812,538,458,
217,456,696,656,196,395,410,995,186,168,570,673,230,346,393,466,941,521,155,
209,550,719,625,120,340,911,816,896,671,131,653,227,287,669,601,066,922,172,
790,211,530,628,374,608,997,260,840,132,045,716,132,833,349,388,669,319,412,
304,079,958,366,406,970,110,614,388,704,342,239,652,915,968,084,378,277,272,
095,140,677,262,125,615,967,553,107,994,996,785,934,822,941,843,967,203,909,
486,513,742,114,290,897,515,748,288,813,811,932,243,917,949,002,683,988,313,
444,333,555,678,894,481,444,166,486,954,409,484,718,483,439,140,986,916,552,
731,823,590,497,662,906,264,273,801,092,330,688,574,763,653,758,588,387,888,
698,240,868,140,801,766,107,511,297,993,848,363,617,199,986,416,606,305,329,
637,567,875,933,005,299,384,487,211,498,846,899,348,765,706,149,923,835,084,
452,813,121,251,794,328,515,339,693,529,900,812,997,146,823,324,053,261,423,
878,706,538,623,625,168,193,050,024,562,140,142,357,562,052,368,794,664,341,
599,642,766,607,346,969,423,644,286,965,493,115,519,117,393,538,755,920,700,
372,520,370,248,685,749,284,843,388,301,753,249,062,328,103,069,847,270,968,
033,681,285,262,378,130,617,383,069,440,233,716,643,557,750,806,633,394,833,
459,101,026,757,978,085,188,797,774,586,326,799,839,487,490,713,080,055,591,
011,444,765,118,662,798,443,651,855,463,720,959,662,941,950,603,722,297,368,
296,190,947,448,599,804,992,518,155,824,324,262,484,661,484,816,384,864,130,
072,329,283,181,056,672,799,118,371,816,815,775,813,351,091,976,931,501,304,
911,591,007,898,714,857,522,399,205,604,717,862,796,008,917,511,386,219,307,
158,090,760,926,430,732,300,932,996,290,923,220,427,417,209,673,173,815,769,
970,878,456,874,439,911,587,611,191,469,396,711,574,297,326,987,766,985,995,
357,774,354,084,054,429,741,093,672,409,851,806,252,780,402,719,210,892,352,
538,519,144,577,410,996,370,806,874,225,689,850,987,412,781,333,517,131,079,
721,834,979,009,225,956,961,079,152,813,922,103,172,742,040,208,110,177,166,
819,172,806,794,610,594,185,007,053,774,491,891,562,763,906,701,467,893,553,
989,899,058,590,179,801,543,987,741,369,378,478,849,255,261,375,941,427,143,
306,245,131,073,435,534,707,649,376,515,020,233,677,781,232,946,126,647,175,
778,270,283,019,340,815,612,201,532,214,682,655,810,334,012,456,693,767,711,
801,594,976,334,026,234,184,062,405,750,179,234,145,712,482,176,691,946,153,
829,127,077,005,227,198,645,314,590,495,296,307,590,909,135,385,770,094,991,
933,484,464,424,208,440,648,330,879,458,685,734,840,003,301,318,346,882,545,
171,586,598,357,000,602,088,830,078,751,928,764,784,265,377,604,876,515,163,
996,623,560,752,509,254,680,575,515,885,436,988,962,555,479,349,161,319,676,
302,972,268,349,257,362,066,859,628,671,660,907,255,009,506,604,775,747,000,
801,350,105,930,745,870,620,247,175,761,364,543,920,840,867,126,752,742,185,
123,670,287,197,208,102,400,389,366,325,856,793,884,888,553,355,157,739,690,
598,812,056,201,206,830,336,217,901,717,593,748,157,521,608,437,065,023,591,
879,466,495,511,527,121,394,211,323,719,351,408,140,148,221,608,467,541,794,
077,297,254,934,547,366,515,206,449,823,258,224,136,486,174,134,796,141,520,
094,672,012,898,977,451,211,587,516,819,083,565,547,260,516,158,427,164,380,
950,295,407,434,549,171,549,222,105,999,808,284,342,729,968,348,382,045,086,
421,351,518,947,876,933,801,693,078,003,707,392,706,883,521,582,576,602,147,
404,719,919,515,814,414,859,519,501,236,789,996,491,681,940,787,492,892,019,
476,980,761,395,586,259,664,827,819,863,309,786,282,156,576,007,415,009,142,
035,104,950,087,738,731,199,244,341,902,576,650,256,186,777,607,032,539,880,
939,923,498,574,262,885,137,582,110,861,580,410,256,082,623,608,042,914,439,
682,754,056,776,300,047,107,015,883,539,793,805,528,014,528,398,014,961,281,
064,513,318,660,711,646,894,034,648,126,413,400,349,537,819,175,670,119,314,
774,179,723,917,177,395,138,680,102,487,709,421,290,476,165,121,267,603,640,
704,172,436,253,125,711,391,270,498,474,527,584,135,807,048,151,932,112,338,
663,261,009,181,667,238,830,307,367,009,182,561,508,374,103,383,341,982,934,
439,830,804,140,449,205,597,258,498,456,331,653,918,697,417,632,679,098,867,
344,270,000,452,701,542,703,929,225,705,638,680,725,760,585,757,792,928,945,
920,557,655,234,114,983,353,768,239,457,115,948,685,359,724,630,694,644,852,
069,711,760,288,693,837,289,793,309,382,847,942,001,257,883,771,003,411,768,
178,556,284,368,706,908,559,778,783,975,471,171,098,777,217,549,297,656,417,
050,014,587,044,021,716,788,418,430,290,869,587,750,473,955,438,716,070,564,
053,776,110,269,800,344,467,483,460,534,897,518,930,297,115,286,946,203,478,
059,079,468,637,048,748,635,363,553,710,479,265,387,040,712,978,193,512,632,
375,875,429,951,439,846,933,614,987,935,630,202,860,127,034,239,450,366,846,
183,938,437,248,328,501,343,670,542,845,436,049,186,496,606,105,259,532,746,
517,374,766,182,868,294,464,290,021,839,315,286,377,920,606,498,973,703,272,
160,829,260,006,962,928,417,649,850,506,441,397,531,965,134,148,831,881,310,
757,049,935,879,651,675,394,458,999,062,427,431,824,158,170,933,195,528,526,
703,706,401,933,882,588,546,828,457,734,538,039,305,413,430,594,818,749,836,
142,253,778,521,464,929,669,407,599,552,402,887,163,694,766,122,146,722,121,
333,308,560,989,676,055,996,125,381,270,610,454,523,175,996,348,223,178,791,
379,519,379,578,707,215,009,164,687,194,184,531,372,729,317,335,313,193,042,
585,844,050,857,092,198,091,162,441,679,611,527,211,931,076,341,914,645,133,
783,188,214,816,760,647,538,863,872,976,891,924,471,446,148,129,797,802,333,
063,033,037,838,885,970,662,171,648,138,130,602,606,414,549,652,865,587,040,
028,424,655,743,883,531,215,878,085,842,232,842,839,658,016,614,789,239,553,
006,835,556,506,001,041,032,362,290,419,528,659,785,293,466,204,443,979,459,
461,426,530,097,915,126,639,097,310,912,591,106,030,137,773,474,322,546,663,
182,744,857,662,501,669,358,417,915,130,405,375,037,853,109,312,605,533,061,
137,933,221,424,148,396,985,837,397,263,790,037,899,115,016,922,500,898,822,
247,170,652,128,595,446,912,288,637,957,888,349,943,839,333,062,024,266,714,
427,876,400,844,177,375,432,680,611,001,889,328,982,352,907,756,714,568,884,
233,431,524,412,600,134,073,118,762,853,976,699,950,791,529,906,223,975,807,
773,956,763,417,025,034,825,108,508,476,725,595,545,771,655,128,804,411,735,
714,742,262,561,771,221,093,886,568,814,356,615,493,157,289,667,532,746,206,
277,877,107,085,698,505,412,433,962,678,110,720,254,087,356,085,432,395,421,
716,407,671,443,982,454,835,625,163,438,549,402,824,584,131,178,220,692,185,
983,799,220,300,343,170,422,032,427,269,808,812,246,272,433,437,702,895,573,
394,366,141,472,126,810,179,050,087,585,738,264,602,381,356,770,681,556,369,
739,832,111,315,112,686,207,618,125,179,922,482,316,537,176,923,751,666,286,
568,095,665,812,919,732,839,338,633,579,703,098,214,242,583,053,634,044,865,
970,736,268,637,111,660,645,555,285,628,860,249,327,284,973,593,730,681,347,
872,082,774,788,872,675,753,858,883,302,333,788,049,897,778,310,980,783,556,
593,270,294,386,878,659,166,058,523,571,453,465,236,081,515,499,000,105,614,
670,341,557,159,319,599,784,882,387,627,816,732,231,549,861,688,152,554,920,
447,078,144,891,119,421,634,067,269,365,874,989,365,562,953,162,836,099,413,
388,937,954,805,793,178,270,147,205,352,016,327,515,725,793,261,186,437,786,
476,788,358,406,056,133,460,516,978,659,573,609,424,887,792,983,849,681,047,
013,039,809,773,385,007,563,922,712,570,056,108,237,421,852,911,144,658,345,
231,124,662,799,624,483,929,199,949,273,894,307,463,969,841,296,595,440,806,
375,797,365,713,125,287,867,833,239,437,064,126,750,173,599,373,756,783,843,
790,164,647,504,610,780,259,183,049,343,837,587,650,430,987,529,417,200,459,
183,208,614,653,279,409,991,943,889,655,387,971,449,161,823,845,981,672,596,
731,384,920,134,991,294,747,840,799,756,355,309,174,286,847,526,971,031,265,
205,283,539,659,492,679,072,278,014,278,329,425,374,679,198,755,695,955,425,
762,562,599,011,220,369,004,759,533,263,565,640,723,440,769,180,737,264,657,
387,831,620,227,935,265,221,226,885,361,323,688,623,280,343,954,285,451,130,
423,188,504,476,079,576,397,052,581,623,738,103,786,146,084,929,186,405,271,
799,341,320,291,857,687,889,221,199,331,570,707,652,987,060,875,891,779,073,
866,590,874,860,492,813,107,804,437,852,393,938,851,913,686,210,725,753,337,
292,252,755,013,405,175,479,033,071,409,924,085,252,296,795,586,220,728,290,
535,660,443,247,603,180,731,374,431,615,804,424,699,168,181,748,147,100,199,
122,015,445,105,437,368,122,577,752,423,584,805,645,386,493,924,441,250,465,
021,032,364,536,413,744,778,874,838,135,174,199,483,670,718,839,481,251,066,
922,118,277,429,329,419,490,003,127,446,628,419,453,931,093,563,157,120,466,
623,083,627,142,184,357,777,071,592,596,666,533,644,402,753,026,133,707,418,
900,344,422,678,275,660,925,915,566,201,184,798,354,855,789,658,909,325,622,
308,759,754,293,130,514,330,001,567,694,508,768,372,279,332,022,309,587,391,
640,701,796,031,771,496,610,715,123,518,114,543,533,123,261,034,134,233,378,
452,297,611,327,800,153,492,093,462,784,287,083,922,778,859,638,880,321,865,
654,398,954,090,916,175,993,030,055,845,531,254,301,129,540,591,902,751,062,
802,103,937,075,625,958,097,278,416,208,903,558,934,870,644,105,958,475,912,
216,680,576,089,993,314,836,004,737,890,413,230,674,828,373,920,689,770,586,
212,198,739,149,412,812,936,637,658,889,288,787,456,321,849,255,141,312,311,
191,640,004,563,753,650,583,580,223,507,976,524,639,873,884,440,930,556,210,
676,680,025,130,885,464,679,293,356,005,952,827,367,183,951,016,590,777,180,
979,833,199,348,227,355,429,345,600,591,133,163,077,702,761,670,902,019,215,
789,181,952,676,232,846,842,205,688,229,364,425,820,950,805,077,693,836,406,
632,012,133,938,175,334,762,002,355,081,631,939,295,261,724,604,235,319,218,
193,414,527,571,184,593,751,072,799,407,073,570,666,718,491,322,525,194,603,
353,603,299,139,600,623,788,608,825,934,021,620,157,862,873,962,969,598,638,
073,534,498,163,154,234,530,212,520,319,877,619,880,115,470,481,232,113,567,
184,463,567,045,145,324,854,772,396,816,444,518,544,563,634,138,939,802,047,
438,531,226,967,174,280,176,578,757,538,787,385,757,901,535,754,482,720,196,
155,191,781,632,358,113,542,096,755,842,897,273,893,242,723,272,177,124,080,
175,972,979,885,849,105,790,867,179,065,636,290,664,424,513,726,249,332,103,
787,817,532,924,396,113,474,423,557,012,430,690,589,091,952,858,988,934,087,
878,989,654,136,348,596,508,444,371,526,194,541,527,107,795,334,407,151,442,
146,550,757,986,015,968,012,411,259,397,741,596,659,312,595,345,130,398,391,
697,834,493,422,811,065,899,230,002,804,878,531,783,046,275,204,809,928,028,
453,199,542,351,304,583,929,410,039,715,957,195,216,380,687,232,129,883,586,
637,343,183,707,919,741,249,845,823,414,210,673,675,241,310,851,700,223,771,
907,785,820,165,480,083,622,127,052,364,353,289,762,853,802,204,297,026,725,
698,566,160,538,692,076,043,841,269,459,730,376,029,432,221,751,790,275,901,
072,223,687,319,566,110,309,222,381,441,209,174,092,858,260,086,012,757,729,
326,474,743,167,440,177,450,387,952,673,156,225,279,804,100,686,136,233,192,
905,757,047,876,653,096,860,461,092,768,723,875,704,243,391,864,118,571,816,
501,335,267,201,325,942,941,348,593,628,490,130,786,095,000,220,830,384,170,
465,608,720,556,372,432,287,918,939,946,425,506,038,575,386,388,918,154,623,
106,346,325,628,348,754,638,487,006,564,811,125,863,927,721,917,086,193,068,
866,385,033,202,780,834,110,321,432,049,069,641,924,978,178,179,271,869,527,
410,127,115,130,055,540,317,564,035,818,960,644,251,872,053,231,175,033,013,
176,535,093,741,557,677,076,982,214,703,256,601,029,867,647,584,779,014,239,
671,872,643,725,870,072,111,246,533,260,151,763,425,915,074,075,238,962,512,
925,879,209,152,713,598,306,450,882,817,989,653,307,752,169,922,589,995,940,
150,940,266,766,284,024,565,415,860,683,939,005,009,534,993,585,811,723,193,
883,737,643,320,063,350,776,415,774,810,292,585,677,555,317,145,872,317,846,
869,913,382,295,085,711,473,521,554,860,250,983,969,794,538,092,930,544,131,
722,948,346,976,780,260,230,954,031,349,821,162,952,159,881,594,903,690,096,
901,714,090,716,288,084,931,125,378,257,355,915,562,872,064,107,977,694,472,
961,270,988,222,384,766,318,062,700,731,986,350,881,138,320,742,261,668,947,
443,075,340,401,926,479,884,003,324,647,445,666,582,901,574,977,213,101,757,
424,633,932,981,053,089,519,169,036,452,986,823,111,315,055,603,445,196,082,
765,003,410,836,707,786,814,226,017,290,187,040,432,576,758,870,020,150,150,
793,628,052,600,359,022,611,931,834,402,601,052,190,262,349,635,789,979,457,
805,560,706,541,158,277,916,694,592,043,041,968,670,567,463,303,653,500,061,
302,399,390,891,540,571,179,868,907,829,999,915,151,599,094,492,477,211,052,
864,118,287,055,962,913,801,864,293,796,554,833,594,257,285,372,430,671,729,
221,266,927,226,376,013,776,716,899,661,590,494,081,957,650,682,923,767,516,
276,706,116,826,795,750,096,198,322,394,912,561,731,420,755,454,263,459,769,
369,095,399,771,038,987,739,694,439,725,219,756,062,065,399,718,915,752,659,
392,208,280,358,971,272,550,811,515,014,816,424,053,231,650,571,651,544,387,
555,973,021,940,939,725,286,679,960,746,673,727,762,415,190,646,185,173,257,
204,898,233,444,410,017,488,917,782,208,647,085,182,554,464,149,040,905,445,
846,405,592,883,180,782,190,261,130,887,097,564,242,723,354,612,551,568,252,
622,653,298,726,179,858,154,827,596,928,036,370,422,246,304,875,902,254,670,
571,414,160,625,306,841,110,689,483,422,005,424,099,991,121,208,892,690,597,
719,031,737,218,754,407,623,644,773,207,047,613,114,137,978,610,445,321,237,
273,278,747,984,025,021,374,194,997,425,779,521,728,369,077,640,311,351,735,
611,502,676,775,372,406,885,484,295,229,894,839,515,327,502,597,500,713,051,
918,209,985,838,342,532,616,806,463,585,874,550,816,153,807,492,302,619,469,
423,490,350,426,437,741,338,885,964,754,305,098,139,403,858,062,243,803,343,
593,537,562,660,123,734,603,429,684,666,026,836,015,173,312,768,361,680,862,
216,288,305,383,546,740,229,322,555,815,954,607,905,052,391,619,436,302,161,
461,310,163,156,077,994,308,273,278,815,316,760,040,897,974,698,523,657,519,
556,977,503,108,175,560,153,120,561,429,454,132,272,531,809,789,054,655,500,
609,106,107,269,875,400,492,614,448,360,600,922,505,398,790,659,788,731,258,
273,133,934,398,698,070,985,028,305,351,997,379,158,088,090,722,972,265,802,
798,301,425,302,190,795,025,821,631,102,793,264,051,837,209,779,392,392,645,
298,688,173,016,166,228,594,158,073,767,072,390,269,034,525,871,229,065,605,
190,761,967,922,817,625,780,945,279,864,115,986,106,913,188,950,971,183,940,
244,232,293,658,499,441,160,059,609,345,692,551,266,120,515,940,083,644,642,
916,403,727,616,746,831,872,145,953,573,040,703,009,432,623,331,374,380,800,
176,396,522,000,407,712,954,264,437,695,453,494,763,993,263,621,207,788,109,
515,602,114,540,869,632,384,906,383,692,510,681,317,401,627,947,935,899,176,
754,888,940,871,140,369,352,515,984,351,691,079,205,745,139,014,577,890,465,
500,710,404,885,556,011,794,619,354,747,212,531,076,396,641,111,414,319,317,
022,253,004,940,760,552,377,841,261,437,198,598,224,635,945,511,632,514,044,
245,493,671,557,502,856,071,002,532,135,643,559,600,586,887,277,472,845,322,
375,296,430,390,155,719,654,019,933,612,414,828,918,543,819,334,629,903,053,
029,086,546,164,471,416,547,265,734,662,879,863,932,320,004,006,959,920,843,
088,482,406,400,657,901,969,462,257,680,149,717,814,561,107,503,000,535,217,
039,793,716,840,573,942,747,978,063,393,391,762,431,840,419,623,379,133,205,
138,444,037,491,484,173,721,896,513,879,749,122,482,313,465,221,786,175,950,
698,654,305,553,203,176,113,110,128,032,313,580,990,697,419,156,297,642,676,
479,077,062,879,681,850,699,950,204,749,599,739,421,019,882,363,168,353,395,
022,623,798,596,424,219,704,874,914,208,124,670,340,994,233,014,200,952,020,
592,645,538,218,067,603,217,206,875,531,363,429,539,640,433,564,675,589,397,
310,586,262,942,306,304,982,156,466,417,288,898,190,748,581,674,882,836,283,
782,574,316,803,462,047,568,283,923,061,377,415,380,644,469,295,111,470,721,
029,231,939,177,095,816,271,513,101,175,562,854,615,580,159,967,819,977,188,
428,063,214,739,123,482,188,815,307,807,373,666,956,734,336,718,150,164,230,
528,171,402,590,168,089,711,125,488,186,404,142,402,891,490,545,212,311,069,
402,969,759,577,942,459,963,459,325,539,974,047,106,773,625,733,259,068,001,
675,633,889,933,045,294,284,142,556,131,430,206,534,547,891,951,708,311,357,
102,236,569,579,366,889,546,194,378,393,161,835,829,720,188,103,446,723,273,
115,304,903,921,596,550,887,324,286,106,161,532,066,920,822,772,725,443,439,
647,266,094,508,289,006,654,756,085,368,002,428,860,605,930,769,618,524,418,
657,583,818,272,483,095,501,638,526,023,016,045,175,192,161,666,922,686,333,
111,282,147,264,555,118,924,883,345,948,440,878,140,356,836,403,841,237,951,
568,651,221,992,840,728,619,303,041,509,310,452,081,937,215,382,991,612,919,
087,142,000,605,834,437,687,674,630,056,945,288,472,452,878,591,539,262,514,
256,762,376,886,110,045,600,735,687,364,038,292,726,574,806,240,289,190,534,
275,623,796,764,402,152,979,612,455,839,982,037,519,103,357,904,040,801,277,
464,298,020,150,019,533,107,511,321,209,016,778,933,358,926,158,879,464,737,
809,847,784,244,368,391,506,434,428,278,376,823,093,101,540,957,790,785,504,
963,810,800,500,158,625,798,297,212,279,636,252,434,589,451,758,304,690,419,
493,809,906,024,050,378,141,108,320,396,670,185,577,770,113,216,340,444,827,
027,515,823,322,459,705,998,537,730,501,850,928,641,453,637,086,307,024,433,
175,047,459,264,165,727,455,584,736,637,577,647,116,336,333,515,172,089,972,
385,939,993,128,458,082,274,972,999,225,028,311,708,077,135,242,628,369,988,
873,969,958,359,262,133,763,667,589,145,479,604,119,729,072,170,250,949,916,
836,340,362,056,047,245,960,826,592,233,563,114,204,990,779,514,944,327,161,
976,451,762,294,114,949,811,947,782,140,920,518,075,614,762,797,618,080,548,
565,346,441,332,851,675,331,596,480,295,216,696,670,722,094,242,645,471,044,
375,521,738,554,190,396,146,369,315,285,417,299,823,747,405,219,116,179,170,
307,865,658,431,177,818,745,646,195,052,792,590,423,610,763,781,697,521,404,
763,377,661,048,444,012,965,887,141,632,955,013,805,285,194,197,028,911,337,
238,356,647,107,915,118,676,068,893,280,679,017,659,516,071,262,653,315,821,
889,231,873,970,784,297,750,046,122,236,265,993,903,251,850,904,761,952,329,
565,868,381,460,137,231,905,646,382,397,048,156,324,537,088,650,315,123,847,
585,802,198,747,498,369,555,814,785,447,361,235,476,738,761,719,602,385,916,
116,458,320,464,434,592,528,863,287,134,604,737,189,396,189,268,524,863,582,
170,365,440,543,564,283,844,231,251,123,642,551,264,295,792,933,823,483,744,
296,771,174,309,482,075,801,322,713,866,734,534,293,606,277,609,677,335,156,
526,822,179,631,213,265,442,747,504,820,994,446,036,064,654,245,089,860,491,
370,969,052,517,629,999,811,492,959,954,253,389,406,225,728,850,675,298,004,
326,617,204,682,132,888,944,774,426,998,503,327,988,204,188,064,371,994,598,
779,721,724,158,978,583,081,261,833,505,405,517,334,975,292,034,731,453,462,
928,317,003,774,209,165,164,661,570,041,507,374,201,201,129,717,271,989,362,
933,657,208,735,393,336,254,645,056,308,358,352,916,007,716,091,027,828,707,
902,646,575,206,154,254,963,039,983,353,139,283,644,981,722,039,328,816,453,
253,859,053,219,779,394,298,021,389,446,825,406,204,972,353,890,121,313,787,
237,978,745,994,914,186,277,166,989,986,668,961,144,816,936,416,573,590,513,
073,121,068,732,514,392,125,057,397,151,924,492,999,432,851,625,682,856,378,
292,829,961,136,230,072,122,685,707,305,822,640,341,541,358,561,639,662,215,
244,034,524,193,063,595,889,322,575,669,241,761,508,271,194,600,314,749,622,
309,908,745,443,470,959,937,979,833,135,846,896,328,466,886,261,035,198,735,
191,785,612,589,554,294,887,844,092,490,490,304,861,750,847,496,389,218,278,
132,813,058,025,102,858,163,870,082,720,446,734,272,098,718,870,225,470,897,
025,167,519,379,996,417,489,581,796,546,107,979,045,305,442,376,746,168,406,
401,657,625,654,302,481,272,183,954,907,058,922,563,453,042,472,869,127,772,
889,846,423,510,032,613,888,371,178,516,631,025,649,757,634,183,863,932,543,
206,473,617,055,144,562,873,159,691,552,320,380,425,851,999,331,419,089,895,
374,420,539,582,668,150,688,319,500,539,050,936,623,688,349,032,086,675,308,
595,847,004,380,885,255,696,429,422,564,460,657,017,252,169,534,172,942,941,
867,941,637,511,713,175,796,218,418,200,379,892,674,659,541,087,624,584,217,
948,514,885,377,021,552,504,677,006,722,567,662,768,183,798,838,809,511,957,
225,395,489,756,493,713,306,662,940,894,978,187,396,856,673,786,383,047,276,
234,290,319,931,604,554,873,120,391,862,621,839,860,921,610,534,326,294,389,
486,792,833,701,700,973,941,688,214,952,596,470,397,862,871,198,628,710,046,
764,432,563,767,409,239,435,049,382,090,710,541,736,026,415,474,184,750,003,
431,603,434,962,348,157,383,460,695,184,278,909,701,069,318,352,819,259,290,
305,123,035,964,512,984,009,603,663,774,926,987,764,509,160,558,191,118,534,
042,241,697,314,727,413,084,618,988,274,123,361,524,146,205,273,639,418,154,
938,585,866,303,900,442,249,130,424,563,541,914,775,919,554,695,369,981,096,
226,190,508,220,401,386,764,006,837,655,761,747,240,501,297,044,271,502,529,
425,632,969,795,272,788,914,169,992,441,600,908,910,537,824,111,862,907,729,
263,424,511,315,512,993,740,765,825,905,890,390,003,484,633,548,627,260,006,
619,819,402,098,756,062,339,942,440,771,281,317,185,554,625,245,828,178,043,
822,713,417,186,653,414,745,634,055,943,020,787,071,923,671,540,836,955,554,
300,536,133,293,659,799,496,699,582,810,741,307,411,268,476,153,978,056,185,
395,846,283,010,106,773,734,513,073,224,533,626,566,682,456,087,766,798,553,
616,699,054,203,618,994,257,109,137,665,554,416,308,770,719,866,191,521,824,
290,930,112,372,240,184,973,499,483,832,822,069,566,326,181,208,776,865,619,
761,640,476,169,842,172,153,739,187,953,465,746,749,948,370,732,721,335,120,
348,953,737,991,584,870,921,510,224,404,230,798,752,105,182,603,660,623,780,
964,590,714,245,993,791,434,040,863,539,524,207,360,067,583,738,485,647,670,
894,462,675,373,679,241,649,890,766,936,139,663,294,230,838,434,508,555,755,
449,213,555,188,892,274,855,394,800,045,466,206,182,017,970,801,211,615,592,
438,270,214,626,575,356,198,239,093,761,700,374,072,356,376,237,884,620,850,
275,388,541,210,500,053,439,058,790,765,734,589,134,316,844,017,398,399,457,
722,423,759,140,774,976,968,192,462,558,898,381,537,609,575,803,759,838,561,
757,356,615,145,435,797,674,809,915,930,271,317,387,424,894,633,244,210,957,
475,433,105,503,604,425,322,194,330,315,851,246,988,690,726,524,212,518,255,
692,167,175,440,017,123,359,208,336,736,264,777,327,093,265,562,844,237,064,
551,090,404,791,238,517,522,847,240,994,663,684,132,971,519,388,028,063,011,
334,948,401,200,233,977,760,108,717,169,763,511,450,734,714,044,871,464,571,
819,310,379,193,814,476,633,616,036,762,124,585,742,874,756,671,267,243,594,
615,286,559,401,014,091,971,868,039,651,031,531,395,530,293,684,348,856,426,
756,096,390,428,261,715,504,573,897,047,281,651,967,574,154,713,832,516,504,
260,378,183,259,991,762,781,568,820,447,134,962,663,259,142,646,825,807,096,
737,966,751,137,680,461,445,914,395,117,540,848,909,849,666,553,081,314,399,
217,975,583,508,960,145,265,618,223,170,310,991,086,253,765,288,748,191,141,
540,921,115,091,509,989,163,096,243,240,978,131,895,560,563,654,052,962,870,
537,184,504,081,468,201,473,813,278,013,520,341,271,134,570,382,372,511,057,
467,657,992,218,028,146,191,260,871,686,239,323,167,039,941,440,470,748,845,
462,763,690,983,265,378,942,918,734,254,506,998,245,234,644,208,854,997,668,
937,248,438,712,719,760,449,714,355,929,511,842,637,482,568,989,321,758,378,
187,606,070,158,773,782,546,436,888,079,585,669,264,280,123,128,272,879,489,
824,437,270,806,572,910,205,283,128,888,511,833,094,780,309,519,134,661,665,
158,146,931,651,146,725,222,461,503,620,948,403,526,080,154,472,886,737,467,
593,138,217,688,915,633,809,640,416,026,245,551,613,883,947,298,583,453,543,
561,553,842,162,283,853,829,260,678,163,377,528,608,703,966,325,651,306,245,
448,026,261,765,315,761,554,806,104,186,144,898,433,245,131,658,580,014,381,
350,895,723,383,324,902,276,175,459,889,030,732,924,895,693,753,831,716,390,
323,322,023,048,733,039,796,643,832,509,279,076,495,040,221,428,444,128,391,
063,069,700,275,480,845,842,955,527,974,165,790,986,171,635,483,272,234,383,
264,222,242,550,325,953,382,344,133,569,714,409,555,201,826,180,694,717,923,
317,170,680,102,206,431,636,620,078,661,408,912,910,284,979,496,266,138,555,
078,299,364,653,983,992,549,787,769,145,055,045,168,353,761,470,004,451,281,
546,601,445,504,107,523,339,365,598,251,978,903,972,309,489,817,672,360,115,
519,535,840,382,435,926,034,932,249,478,451,409,842,905,912,070,027,451,445,
649,375,278,631,381,693,583,754,832,024,616,370,838,210,482,523,142,343,287,
497,036,122,234,090,990,150,174,874,868,874,664,634,313,918,872,935,539,817,
322,133,008,062,929,124,356,728,996,511,730,812,567,066,159,156,410,948,550,
673,108,646,820,431,270,262,822,590,451,963,930,805,636,890,410,425,043,657,
015,654,704,145,012,028,827,545,401,571,290,285,289,197,377,348,076,270,160,
321,186,702,794,856,665,894,221,143,118,920,279,029,832,505,792,637,502,243,
185,802,730,918,938,663,354,231,366,161,546,516,753,645,994,711,889,991,713,
624,114,764,861,115,439,303,596,454,018,712,666,728,432,968,859,580,615,679,
511,164,813,797,608,341,431,249,652,774,684,819,089,268,872,949,812,551,797,
497,216,433,580,869,631,455,029,067,120,627,123,382,250,480,987,332,741,718,
953,579,791,743,619,270,221,041,300,353,245,108,274,292,944,308,172,787,629,
217,433,469,460,557,766,005,217,277,906,666,288,057,747,647,275,617,154,552,
107,310,118,224,358,374,690,560,019,413,261,647,911,911,968,652,439,266,568,
998,434,844,302,333,157,808,498,997,535,282,564,269,255,007,132,511,149,647,
585,423,136,303,596,458,959,537,558,209,509,516,236,866,127,890,001,515,386,
115,915,501,267,325,659,297,469,743,702,724,145,841,302,826,254,596,145,330,
021,550,364,169,673,222,100,049,617,415,187,996,857,168,505,680,374,546,808,
739,559,341,503,330,016,084,924,169,570,711,671,915,349,274,656,217,193,165,
081,102,271,755,383,358,744,353,235,146,065,947,560,799,218,681,073,707,933,
643,020,813,871,333,088,560,358,022,321,605,361,826,342,850,431,557,868,161,
983,180,330,366,644,548,150,539,169,844,308,764,368,405,680,592,627,533,025,
226,069,273,012,909,842,610,794,475,439,722,043,142,574,687,391,769,444,250,
065,060,305,395,072,353,902,463,220,017,316,482,329,117,763,149,421,494,920,
812,668,488,691,886,828,965,156,531,740,785,121,824,573,434,656,122,599,237,
578,459,510,092,592,102,604,049,062,314,771,484,314,616,409,844,907,249,132,
354,113,872,225,542,567,356,988,126,140,441,866,314,767,794,677,744,838,455,
843,796,358,966,747,955,300,756,038,610,908,811,423,964,843,360,397,281,492,
558,019,789,345,804,503,992,136,280,624,836,290,565,456,794,016,681,983,474,
414,334,038,811,472,921,076,902,112,622,037,046,313,288,464,826,738,217,795,
359,779,271,574,411,279,233,321,025,814,592,477,780,344,720,288,061,387,022,
794,567,192,989,625,500,449,631,935,289,242,289,532,607,972,114,132,653,603,
296,148,361,977,792,976,737,292,826,690,356,053,013,211,949,480,531,231,493,
828,593,639,841,436,716,641,850,827,639,924,655,068,643,314,247,731,317,766,
790,430,514,153,703,363,749,735,291,053,420,192,657,031,660,510,733,499,909,
423,547,538,549,093,675,838,921,257,706,098,304,605,128,019,278,159,480,861,
672,304,334,587,109,941,956,052,828,059,667,152,327,005,915,174,649,594,692,
423,381,739,081,279,749,052,804,519,729,000,147,261,391,149,975,011,629,518,
989,150,088,938,110,641,741,421,770,150,737,537,181,817,643,966,327,294,476,
699,654,639,261,332,588,710,258,374,534,538,141,878,655,316,725,167,828,901,
446,097,074,424,466,211,398,542,155,564,894,651,476,290,853,930,684,751,812,
506,446,398,341,673,146,830,122,184,227,422,180,832,952,593,500,809,048,744,
025,092,415,480,153,683,194,034,988,866,213,954,633,614,072,562,621,197,242,
660,876,746,462,423,703,879,511,535,290,427,918,192,160,222,638,491,599,941,
897,941,745,963,791,574,601,133,509,060,068,553,146,918,940,826,186,778,895,
708,180,208,403,074,510,178,037,405,505,058,571,986,534,487,291,222,338,342,
430,758,236,943,171,559,838,180,549,392,847,770,490,827,147,340,386,781,288,
722,675,842,467,881,526,159,316,900,504,737,609,466,833,811,437,516,399,107,
575,849,646,903,951,663,209,357,088,083,660,713,768,309,318,894,747,732,884,
278,513,212,137,857,015,712,215,900,389,572,712,660,865,286,331,555,816,353,
240,648,278,569,647,403,318,366,575,625,030,785,670,101,827,510,324,123,718,
417,957,883,542,972,314,180,506,856,076,370,224,692,085,409,307,120,635,426,
309,771,421,159,877,422,471,450,626,899,941,283,887,566,837,961,600,739,493,
709,112,573,143,711,582,710,512,267,140,475,376,351,575,184,965,663,459,227,
443,862,202,204,514,308,599,295,143,768,319,288,111,268,331,020,510,607,899,
549,053,134,002,299,966,404,214,892,565,825,391,183,010,251,710,212,688,509,
144,857,577,047,456,373,416,745,603,570,424,893,227,053,764,679,139,107,375,
453,265,425,878,793,278,265,364,242,880,344,762,925,452,837,979,359,173,547,
610,285,134,041,036,967,943,356,657,104,608,951,897,786,451,834,481,165,685,
043,636,944,827,326,981,363,226,777,504,841,345,079,929,914,159,127,370,696,
559,552,919,365,323,016,155,729,256,653,577,596,815,423,560,639,125,269,001,
843,444,387,771,210,550,020,812,598,262,710,398,464,203,157,112,883,140,678,
581,823,998,615,865,108,225,274,875,631,560,037,419,890,864,850,301,399,035,
381,592,089,309,973,884,945,205,979,030,368,055,962,226,908,831,891,601,790,
743,040,180,045,873,109,528,963,804,285,101,313,788,015,495,804,466,255,682,
454,370,659,520,939,785,451,972,763,254,450,271,113,877,265,863,472,680,826,
084,051,621,999,281,150,983,618,519,758,689,246,747,135,857,811,530,208,652,
546,072,166,422,764,288,136,251,494,282,438,119,729,463,849,320,791,779,157,
299,790,563,021,645,424,054,158,499,261,040,031,498,243,893,222,300,134,812,
253,807,413,817,103,726,212,246,831,500,357,075,728,864,693,118,514,921,764,
968,828,148,784,806,613,678,573,651,052,561,744,317,618,540,622,943,188,647,
469,548,121,024,771,850,118,117,346,265,262,650,963,883,661,580,973,481,419,
225,640,615,866,185,797,999,211,221,583,140,447,868,384,974,099,125,896,383,
501,919,925,098,844,257,460,147,071,014,974,829,244,569,455,010,571,946,421,
004,400,190,554,829,187,451,397,101,598,112,523,637,588,147,146,734,078,971,
725,574,324,983,248,303,352,586,205,579,752,812,000,790,236,718,601,489,538,
275,803,634,323,104,080,738,738,550,771,391,222,205,516,219,068,573,353,301,
651,672,568,667,645,108,360,445,910,244,138,621,559,969,135,664,843,885,169,
113,021,582,089,332,518,311,496,100,794,916,004,620,938,101,095,855,413,962,
146,281,504,337,129,248,919,857,343,794,201,031,913,484,948,181,707,921,014,
334,455,833,736,341,747,553,419,736,146,826,566,629,955,758,511,484,411,616,
225,850,345,683,817,109,356,399,736,696,002,209,831,629,361,074,772,955,651,
505,355,793,359,208,055,195,476,292,103,945,007,088,598,589,558,899,762,444,
122,801,525,435,639,341,276,037,096,109,657,551,501,573,468,674,763,825,837,
561,549,937,067,359,232,251,877,577,030,697,451,810,652,853,027,498,567,536,
574,198,280,983,902,499,543,440,682,845,169,975,717,025,294,866,429,014,656,
874,973,827,323,664,050,349,132,340,447,707,838,581,677,062,469,328,654,746,
439,434,456,209,435,455,109,149,796,547,607,427,819,754,341,280,468,799,317,
529,093,188,167,537,653,907,532,800,075,290,347,179,162,573,552,774,703,565,
125,011,406,411,106,210,704,458,018,779,326,050,058,674,061,409,724,609,978,
623,214,030,055,155,568,573,577,850,001,841,706,306,156,842,814,124,459,138,
168,850,303,021,054,761,801,660,996,494,951,484,897,916,803,897,932,983,387,
462,358,303,063,487,934,354,147,289,003,199,143,467,570,399,648,587,785,556,
101,341,476,494,340,991,169,633,545,118,998,461,466,551,571,156,492,012,721,
091,750,696,814,638,278,363,957,979,690,664,422,115,875,311,400,819,313,289,
271,182,213,069,510,433,165,435,876,497,565,724,427,828,778,917,344,719,418,
700,569,635,440,017,329,081,783,033,400,867,398,679,145,376,164,619,425,809,
808,654,827,843,915,589,828,598,540,327,454,054,984,422,906,163,112,832,024,
186,552,343,890,670,397,344,433,037,510,429,427,212,050,502,786,387,627,520,
490,067,139,274,316,359,979,831,138,707,513,444,046,179,925,245,072,469,282,
670,637,374,116,676,639,390,451,082,586,320,575,949,357,586,609,116,553,387,
966,169,116,057,341,793,985,422,162,486,275,177,394,720,879,438,659,900,242,
109,624,914,233,016,018,388,527,769,102,833,521,231,448,171,761,834,835,542,
613,495,159,046,809,836,845,075,713,229,996,174,811,131,693,596,569,080,244,
930,423,273,824,889,982,591,451,166,760,044,236,007,070,327,836,349,467,795,
370,648,503,398,632,343,503,649,832,940,174,599,432,297,664,249,920,622,157,
187,011,615,697,345,992,040,314,507,261,578,182,180,782,684,992,459,084,882,
681,106,177,077,664,844,688,242,221,068,821,958,395,314,203,723,998,849,678,
902,754,966,350,347,247,307,119,252,778,114,152,818,441,769,577,255,055,322,
792,108,183,726,195,368,871,543,621,287,233,373,030,944,079,603,535,923,868,
185,180,057,183,132,476,840,048,803,394,966,934,018,014,636,694,692,249,773,
491,735,568,247,973,957,446,520,125,787,273,589,451,888,125,655,054,785,561,
394,032,570,139,119,189,506,006,538,471,144,897,261,199,253,246,759,261,300,
871,944,569,491,414,246,896,392,958,886,388,635,208,820,913,893,040,172,052,
148,541,855,312,212,133,815,554,924,600,415,701,230,576,351,583,155,689,827,
749,613,382,520,754,484,377,084,496,118,586,272,846,352,182,063,472,821,317,
466,956,511,919,181,942,580,711,623,257,264,849,604,865,745,494,892,055,747,
818,996,158,391,404,251,891,841,517,969,233,028,423,383,640,213,696,410,170,
059,700,309,405,217,225,511,726,914,576,064,274,952,612,224,244,723,583,556,
493,131,331,564,041,975,975,296,523,019,250,604,265,575,980,164,205,547,700,
172,534,600,067,372,170,957,469,660,092,473,489,444,631,981,590,015,858,611,
550,092,773,857,719,028,367,193,960,316,257,333,916,847,176,313,807,529,293,
396,760,773,754,059,206,228,400,114,933,730,504,303,114,816,780,313,547,707,
780,451,502,788,308,227,436,517,966,846,805,587,524,238,328,287,384,461,804,
857,227,664,763,344,630,355,298,092,900,224,048,328,570,361,905,778,785,589,
784,391,128,895,251,452,064,958,356,952,937,269,905,644,098,280,386,816,425,
441,152,191,269,790,657,545,531,830,788,337,708,557,157,065,227,551,164,168,
061,653,772,390,210,952,167,513,550,963,631,761,440,677,061,131,214,984,872,
758,263,472,705,545,811,343,228,747,128,872,777,337,096,193,923,525,510,987,
289,904,782,115,400,487,832,104,199,137,509,812,248,704,632,629,230,089,997,
660,436,462,701,213,379,243,736,398,018,760,993,231,646,889,915,607,937,014,
713,053,739,352,061,935,222,673,453,929,472,821,488,822,410,554,087,401,491,
413,378,015,979,899,952,701,499,927,356,390,100,741,275,702,040,343,724,075,
681,021,092,103,153,892,455,474,352,429,556,006,242,535,551,904,738,681,580,
509,329,594,696,375,559,395,470,613,610,630,269,189,629,137,310,828,676,876,
455,973,172,450,804,354,441,971,470,984,519,555,104,465,292,046,830,072,781,
094,167,736,258,780,120,707,005,956,023,639,111,811,239,873,039,470,307,914,
066,590,590,574,770,626,966,001,778,622,464,531,320,410,484,740,997,690,552,
548,194,593,902,167,498,024,328,942,115,581,047,101,939,168,163,280,160,683,
614,571,729,979,560,131,426,393,414,991,345,143,861,719,198,258,314,478,702,
852,447,799,843,631,127,387,655,559,621,510,138,288,681,787,764,259,928,213,
142,041,790,057,615,135,169,818,334,012,985,337,571,014,349,265,956,147,464,
696,549,323,712,232,526,599,787,440,615,169,304,167,957,610,584,625,251,576,
631,848,753,531,191,793,313,139,760,226,827,108,392,144,761,144,624,262,430,
511,880,265,228,134,638,953,409,045,069,485,544,435,192,470,244,657,065,386,
374,636,327,805,144,532,448,567,258,404,511,384,114,443,789,420,970,152,848,
771,535,198,130,860,630,563,274,400,846,394,458,055,775,738,244,098,444,873,
666,177,534,364,859,763,772,733,014,834,183,539,042,993,627,295,595,601,150,
599,083,642,443,496,922,286,760,427,154,839,324,620,320,365,780,769,321,359,
943,920,737,894,406,668,227,845,776,250,990,124,597,940,270,263,628,279,067,
693,394,218,233,061,103,248,880,758,425,509,937,033,283,207,102,708,825,514,
123,866,301,937,955,271,892,321,626,000,351,274,616,420,731,888,532,906,398,
131,745,736,524,397,776,583,317,822,841,582,986,355,939,079,048,116,221,032,
367,067,307,023,344,601,565,338,622,001,011,634,372,336,303,752,855,498,203,
533,991,731,207,592,900,723,218,461,001,969,585,180,519,349,798,250,018,022,
277,049,881,242,108,525,665,961,778,719,635,019,693,579,949,726,068,906,762,
907,263,893,846,549,101,593,404,278,575,443,544,516,109,866,375,571,229,473,
864,559,870,580,163,440,612,208,713,921,174,338,876,880,554,085,041,410,873,
009,531,727,300,338,425,907,818,052,819,466,119,749,315,880,329,185,834,578,
595,458,713,724,360,119,013,079,585,357,589,161,932,306,573,342,262,051,437,
000,612,190,136,132,906,746,854,643,415,464,868,367,712,134,369,608,588,144,
518,552,635,230,999,866,904,601,978,264,809,240,505,692,928,742,112,709,359,
498,381,604,794,935,552,709,762,647,046,088,454,094,234,986,176,817,256,400,
497,064,782,644,971,266,607,783,914,147,792,927,214,554,807,695,606,528,198,
942,666,855,457,545,102,272,654,207,095,568,102,723,210,933,560,441,151,169,
108,997,087,368,410,735,073,989,259,687,913,470,978,652,639,653,912,885,464,
576,308,700,393,908,504,441,243,642,365,185,218,398,067,140,328,532,019,495,
702,584,651,386,066,385,110,084,839,616,070,452,896,067,647,631,829,233,102,
484,805,687,841,641,743,036,887,987,597,175,586,733,173,447,751,482,074,156,
887,458,950,363,338,891,935,156,904,570,817,215,951,557,480,843,723,082,489,
369,664,192,151,142,120,472,831,496,632,726,152,716,113,333,511,721,824,641,
319,497,508,300,498,001,197,468,691,157,731,935,263,191,930,977,850,106,566,
919,072,683,864,401,135,288,556,628,730,899,711,949,482,185,943,115,228,812,
992,221,183,998,957,185,663,899,902,762,741,117,461,551,489,583,954,732,505,
746,179,789,596,018,086,904,659,202,099,077,520,821,114,240,159,171,212,255,
128,612,839,412,572,528,911,340,507,695,096,624,072,469,098,447,370,674,096,
504,548,464,044,249,222,458,751,055,593,535,926,623,935,384,502,492,962,491,
824,448,695,995,212,607,474,301,330,814,319,940,114,068,305,252,329,343,215,
310,857,342,018,679,197,229,784,717,987,794,350,208,081,363,147,285,815,770,
240,702,694,202,289,953,902,174,416,576,007,816,970,098,092,550,343,996,289,
791,968,600,361,805,726,194,376,320,944,349,709,819,114,510,361,242,797,454,
934,288,700,470,212,993,683,911,379,791,746,560,327,900,590,726,228,829,948,
709,995,217,063,478,459,671,664,103,118,381,678,097,521,147,024,023,222,490,
984,978,035,012,503,691,105,907,862,209,185,966,532,565,093,126,425,107,715,
379,899,909,057,914,074,995,291,858,611,843,547,095,510,695,405,460,390,292,
110,066,497,921,996,987,596,248,577,670,508,397,463,296,053,638,012,871,830,
952,418,050,073,690,112,699,426,519,690,386,810,975,026,540,738,214,385,680,
504,743,770,963,180,219,707,919,173,451,662,428,860,283,776,449,885,779,527,
436,248,279,423,881,655,489,423,735,820,719,364,948,261,327,521,007,361,947,
717,409,327,176,815,115,095,611,583,667,273,871,333,533,477,513,977,478,792,
402,854,942,192,455,401,673,045,738,563,798,490,696,771,441,483,977,028,091,
740,625,603,565,261,880,650,488,604,293,607,588,720,492,602,571,951,320,014,
910,331,969,876,133,390,203,864,587,496,028,284,381,770,532,343,797,720,835,
533,675,061,347,321,292,551,763,717,139,333,285,742,884,446,450,800,959,941,
366,189,353,248,762,107,174,115,730,491,413,199,943,527,555,552,812,581,622,
337,336,619,275,878,947,447,538,817,267,479,694,887,791,974,526,940,879,022,
247,110,976,107,100,954,272,283,991,511,027,235,516,668,440,459,312,287,565,
523,006,398,855,544,650,258,228,966,621,469,662,237,756,450,423,839,417,285,
094,395,543,767,490,872,343,071,822,138,806,852,505,122,266,147,059,352,287,
888,854,480,467,929,343,451,007,423,385,365,272,349,873,021,423,568,253,546,
318,867,676,061,705,108,402,167,367,190,721,123,380,440,947,505,690,862,141,
991,049,626,899,113,185,293,457,223,867,792,105,868,383,002,222,705,609,238,
551,339,664,825,344,668,582,348,400,451,288,184,539,243,201,005,327,765,602,
132,368,540,461,124,749,470,879,442,338,821,016,940,531,088,672,591,914,321,
736,395,481,705,430,956,406,988,106,341,008,420,255,246,563,576,925,044,733,
919,726,412,338,061,869,048,593,844,450,377,708,649,066,159,816,384,648,797,
943,632,518,853,602,854,549,804,618,587,188,367,578,965,344,518,220,535,738,
428,432,867,599,476,081,017,473,133,784,099,102,366,017,156,251,561,797,616,
055,237,467,447,111,280,923,552,987,883,014,541,449,467,366,403,094,360,601,
717,402,726,085,711,180,920,831,382,904,178,583,551,907,918,312,960,618,023,
905,848,360,986,347,526,742,459,558,174,256,187,496,311,677,176,745,177,552,
739,399,275,670,849,683,302,620,530,709,311,426,552,309,396,759,937,516,029,
778,208,127,649,719,905,995,249,402,688,702,815,185,511,279,178,250,857,525,
843,357,321,179,723,161,122,529,563,836,986,528,334,129,032,477,629,628,913,
184,253,341,051,392,440,952,253,367,395,047,878,606,319,098,881,084,170,678,
334,849,574,166,578,376,054,008,581,755,748,143,450,735,082,965,696,317,240,
655,612,332,548,927,882,192,400,669,713,974,399,466,959,151,442,097,859,473,
336,861,311,285,975,717,200,009,917,895,191,832,845,193,462,786,713,013,062,
545,565,169,092,279,038,653,385,225,909,454,103,030,479,689,516,963,050,116,
039,777,195,190,498,209,414,590,646,834,173,562,583,403,795,784,016,064,881,
727,435,158,685,471,336,482,760,997,130,540,302,189,860,912,976,662,103,763,
481,370,150,697,859,785,795,303,164,827,978,769,833,001,264,791,338,783,648,
407,812,884,417,874,707,713,654,126,395,444,383,428,449,653,623,455,500,068,
866,121,015,025,320,440,208,854,788,108,857,130,177,218,268,918,197,259,450,
487,375,440,223,367,283,075,196,314,915,923,583,143,890,691,358,103,802,064,
406,387,993,237,443,844,765,428,011,527,440,545,223,887,971,149,392,932,614,
521,638,009,323,606,148,304,731,407,837,771,363,037,292,806,562,340,286,976,
207,427,941,353,096,639,317,637,040,058,252,823,696,309,830,936,118,965,717,
164,380,306,982,050,237,728,843,480,254,324,115,129,259,695,003,554,195,354,
533,504,925,253,662,566,569,892,480,749,399,914,213,309,391,034,633,468,034,
457,806,360,434,784,086,229,295,893,908,743,330,661,581,652,212,190,639,546,
359,180,493,633,760,978,167,888,868,251,901,181,907,314,837,904,978,950,078,
500,904,687,301,682,171,446,867,401,244,825,173,812,834,368,765,526,077,759,
814,439,693,654,660,626,713,533,106,017,729,849,281,397,282,539,537,406,486,
751,707,426,656,615,052,143,860,915,156,413,378,309,918,511,060,783,522,323,
339,825,623,405,650,743,523,106,193,956,813,800,583,119,401,956,467,315,167,
402,699,222,739,222,089,765,034,172,440,719,290,538,751,066,882,367,469,552,
528,071,946,858,136,600,361,258,991,776,407,617,324,663,215,425,856,020,122,
131,513,182,328,592,510,350,837,987,039,442,142,046,110,067,863,836,396,620,
273,673,184,787,568,591,407,660,069,334,477,316,353,032,974,499,848,624,147,
983,179,579,033,729,006,593,801,939,986,497,957,405,115,466,929,680,903,295,
060,549,016,400,664,574,433,744,630,842,517,114,480,083,943,155,484,433,617,
980,498,197,090,805,625,820,966,643,172,039,974,872,351,601,677,143,214,120,
888,227,438,175,909,340,335,422,496,089,319,164,776,071,390,752,251,943,835,
641,806,647,022,820,195,491,893,551,632,350,803,495,767,903,647,855,760,446,
498,693,642,139,792,363,830,197,125,453,819,404,482,983,482,263,343,624,524,
253,008,539,040,305,050,148,685,497,158,525,495,967,922,691,626,840,211,155,
467,242,922,749,829,645,252,173,252,928,059,740,270,590,625,882,411,077,929,
920,648,717,610,076,284,917,715,422,272,002,474,245,394,986,745,985,505,693,
340,116,012,458,633,159,186,961,772,028,973,712,708,730,614,309,430,379,634,
447,758,146,046,455,514,687,647,487,678,800,706,660,643,910,893,465,760,901,
404,225,325,137,365,186,900,559,988,690,362,183,966,490,976,733,104,643,046,
452,959,689,667,414,244,444,257,821,918,228,877,657,770,754,037,528,353,384,
239,658,414,464,488,950,473,414,917,992,109,891,379,929,276,333,086,143,679,
556,240,676,157,080,086,833,413,537,576,172,665,977,068,271,217,159,268,115,
953,470,723,633,444,626,130,169,425,816,234,956,514,913,210,694,768,713,233,
463,205,377,541,237,053,808,495,764,093,086,661,625,945,345,298,754,831,794,
560,499,679,614,035,309,526,194,186,140,848,936,903,093,009,095,492,961,264,
143,787,455,411,451,708,598,001,574,633,054,728,487,318,961,087,437,553,454,
407,854,867,313,108,547,246,354,066,750,752,211,927,012,994,628,682,296,190,
466,695,935,812,552,846,332,614,392,555,450,522,591,510,328,391,726,735,307,
089,648,892,632,272,057,805,479,921,157,999,954,839,590,196,284,031,121,418,
489,440,867,222,224,895,594,134,353,212,813,406,049,268,483,787,056,169,929,
266,908,271,607,642,523,279,541,234,437,426,870,611,347,230,491,157,279,004,
978,201,984,944,145,193,399,155,171,826,116,459,715,603,531,837,048,039,983,
559,597,164,702,803,044,465,134,734,565,009,642,177,401,107,437,450,822,270,
998,347,106,627,586,825,953,714,868,180,228,835,433,276,388,481,167,306,425,
352,700,093,051,482,995,294,279,674,039,530,119,355,277,734,235,472,868,488,
414,309,431,864,054,692,355,571,568,029,013,570,869,638,894,601,419,969,704,
219,344,828,289,662,815,609,304,776,270,171,656,876,995,999,633,163,437,207,
646,203,348,587,396,435,811,859,863,765,872,564,003,373,136,685,000,191,438,
985,642,878,930,792,503,766,948,085,104,177,579,903,245,290,039,856,285,418,
406,462,444,159,898,664,050,673,925,402,030,270,187,863,820,634,901,526,195,
851,968,550,378,457,368,550,427,177,367,183,335,275,416,322,555,999,544,228,
912,368,238,054,391,526,786,018,726,507,870,485,690,461,356,807,713,105,508,
438,060,082,470,471,018,540,933,537,035,314,330,344,392,886,947,959,279,971,
380,555,487,723,171,677,098,382,300,825,539,573,270,782,911,892,453,618,455,
541,639,951,796,693,627,560,476,165,570,072,397,576,897,041,912,626,362,141,
486,747,006,750,100,905,138,883,501,787,977,549,317,639,435,006,681,165,157,
397,527,752,971,423,101,427,023,854,377,730,052,015,110,924,004,575,808,399,
410,824,987,239,046,254,072,419,471,746,739,029,832,853,198,249,285,125,469,
972,050,371,529,361,023,430,593,648,400,009,053,210,992,891,236,017,492,238,
201,834,055,982,628,813,117,642,458,976,882,451,124,289,208,984,759,212,428,
123,493,962,730,481,231,011,028,742,201,990,925,677,725,702,069,461,270,227,
834,166,688,610,288,208,616,692,387,611,128,903,642,865,219,189,632,054,865,
612,597,384,809,462,514,894,912,038,148,280,992,042,258,945,765,523,103,348,
709,694,161,453,390,432,701,302,535,061,798,169,832,856,887,636,060,445,669,
733,625,115,279,210,572,889,547,804,173,747,001,082,332,715,583,282,546,383,
644,854,390,558,993,394,581,076,751,601,765,670,056,796,772,629,300,178,243,
037,726,249,546,928,021,382,974,259,063,754,742,385,683,884,214,922,770,563,
913,084,164,240,116,033,601,761,242,756,320,607,138,467,833,363,120,379,799,
549,075,906,800,532,143,856,853,979,156,277,197,250,044,892,252,127,972,704,
718,159,514,500,183,525,743,564,609,197,491,173,066,781,434,332,472,548,949,
741,346,097,452,789,384,734,444,864,880,465,126,150,338,165,778,070,971,435,
030,321,509,388,230,457,224,320,428,437,143,847,041,435,551,858,335,317,942,
373,706,107,605,056,412,837,963,950,231,983,253,141,718,340,152,326,521,014,
241,704,412,545,092,805,196,223,047,451,020,435,172,197,693,609,098,238,578,
015,195,566,097,861,628,837,396,869,348,283,044,755,242,738,923,943,010,487,
303,390,033,237,091,727,841,832,857,607,899,404,957,346,782,017,071,587,853,
621,032,587,252,834,410,165,094,280,116,143,603,320,114,724,501,792,459,847,
513,195,685,285,147,124,304,404,916,684,667,338,417,470,278,676,332,882,035,
662,712,549,749,461,923,213,499,640,553,273,753,296,865,843,203,154,257,821,
403,240,975,242,297,510,410,595,526,318,273,352,377,898,875,113,358,890,037,
040,113,907,041,461,311,609,613,225,833,256,419,729,169,137,709,004,451,486,
623,841,118,668,872,730,333,418,310,038,215,030,908,883,005,788,017,748,708,
398,574,125,863,962,106,886,614,890,159,457,407,311,648,683,339,116,118,776,
907,889,918,920,568,058,869,819,010,864,938,688,916,240,580,166,192,224,207,
315,081,970,864,461,138,961,313,867,433,607,266,693,942,012,252,951,853,423,
299,249,166,730,297,921,321,289,373,420,081,549,025,389,392,863,745,410,885,
402,392,621,782,092,015,459,436,483,942,320,796,111,460,851,077,500,529,530,
390,885,808,642,682,709,492,470,835,910,733,978,464,707,534,150,615,685,486,
929,177,969,072,855,202,826,209,851,270,071,536,362,740,965,443,739,507,065,
920,301,896,298,285,693,916,740,400,284,362,777,097,790,552,860,267,527,470,
953,455,846,722,750,874,788,164,570,228,586,125,090,558,696,708,472,997,641,
644,075,202,406,216,609,804,024,749,841,965,039,015,617,553,416,394,087,206,
391,004,269,644,004,166,225,878,009,637,570,691,191,123,272,473,782,281,543,
328,749,337,657,754,784,584,659,102,098,588,112,444,815,415,189,211,809,609,
897,764,316,544,706,292,146,972,119,320,027,608,261,153,607,937,381,945,077,
755,584,241,125,928,322,755,523,908,145,639,639,456,990,151,023,374,127,722,
653,201,277,792,108,218,078,443,929,874,322,165,476,450,514,595,858,293,680,
049,214,955,623,620,066,582,803,411,226,537,070,336,371,670,984,795,272,371,
310,978,597,993,574,710,616,558,468,738,812,423,529,293,752,620,460,865,159,
601,388,148,302,135,651,704,318,220,559,891,715,906,027,091,430,075,859,315,
322,223,594,730,910,755,134,007,217,006,134,387,023,739,396,639,320,041,926,
474,055,464,969,655,097,892,421,852,043,031,651,606,594,044,142,514,730,170,
973,142,798,086,693,867,352,777,439,560,311,264,867,260,364,762,861,619,023,
496,000,885,609,495,484,839,785,974,089,150,435,746,345,375,419,390,763,354,
284,078,974,689,965,046,675,295,742,204,896,913,535,135,996,659,448,629,636,
110,824,575,214,340,111,287,514,928,197,093,591,055,045,112,317,571,859,266,
467,599,072,140,375,523,121,516,257,673,342,039,260,482,117,745,162,406,061,
085,342,552,806,070,767,236,813,383,546,396,089,557,933,309,870,162,629,761,
672,493,478,585,815,022,527,386,646,628,894,633,717,429,621,275,629,574,793,
636,185,658,495,393,702,971,332,658,276,416,814,312,852,208,039,271,824,790,
229,363,351,348,229,861,193,987,207,305,064,554,823,325,139,765,727,309,498,
285,439,446,493,380,321,274,464,239,641,185,871,073,122,004,575,197,002,683,
636,464,055,407,409,006,427,508,807,027,881,994,660,407,269,172,375,161,762,
458,779,287,330,567,376,435,596,651,494,913,116,768,329,289,366,595,126,029,
437,501,299,472,161,482,101,520,253,365,069,897,598,158,711,133,084,761,567,
770,764,095,718,586,513,636,891,478,303,165,176,502,609,993,479,732,228,717,
983,686,903,491,047,947,774,354,113,130,902,394,991,122,064,402,198,732,666,
564,464,932,651,333,136,372,373,494,044,839,529,037,954,233,261,981,241,275,
497,047,298,749,859,341,967,287,257,778,046,234,113,184,731,305,657,797,688,
050,485,313,489,239,301,976,633,116,339,479,798,392,519,564,799,792,007,806,
945,497,489,998,337,135,616,547,346,092,343,498,978,996,638,770,975,782,525,
101,393,230,842,237,171,894,429,835,894,203,245,064,431,796,063,495,899,542,
521,374,395,053,925,537,446,402,024,217,149,223,375,861,918,295,695,738,939,
706,761,568,401,307,808,069,777,816,927,367,898,637,263,034,459,846,527,783,
062,042,560,618,239,616,506,256,572,276,042,600,859,906,253,571,711,211,272,
455,844,398,522,259,297,847,438,094,922,352,476,161,026,143,975,924,823,725,
380,487,766,612,989,325,331,819,446,694,315,323,059,102,441,232,788,459,999,
513,270,118,743,013,663,513,886,763,161,177,563,407,542,358,498,921,622,754,
616,242,071,416,245,330,432,585,947,000,497,742,209,056,625,904,703,402,058,
451,668,794,855,756,631,450,246,623,044,161,522,441,712,966,142,923,540,120,
420,395,775,636,099,878,358,167,320,786,709,615,138,662,082,890,807,548,590,
495,556,625,443,063,501,676,333,268,977,651,622,407,506,210,469,772,095,838,
394,188,628,761,844,524,282,730,408,061,590,395,747,405,367,680,090,044,405,
365,633,156,465,312,599,365,699,256,423,856,628,475,093,828,211,488,471,711,
178,864,645,177,463,859,911,011,086,509,309,962,238,908,060,514,783,267,606,
212,686,110,213,183,199,790,367,439,492,893,035,717,409,749,301,440,167,505,
159,428,117,003,381,517,482,729,996,578,394,942,383,548,428,816,301,251,108,
737,437,249,332,811,854,317,477,695,344,445,526,492,025,702,191,445,453,966,
439,889,765,166,683,726,855,810,925,698,796,778,013,291,885,178,228,681,730,
233,186,530,104,875,441,021,156,108,601,654,539,304,832,505,446,592,861,114,
479,843,771,590,656,633,335,768,013,401,515,132,172,563,797,768,043,281,775,
314,566,957,887,233,667,832,345,127,993,147,855,385,567,450,947,026,016,029,
762,226,984,267,627,235,426,665,041,299,564,948,291,211,275,957,519,491,663,
398,572,420,028,917,819,400,255,852,296,454,377,808,671,002,009,567,832,849,
869,604,178,886,034,282,316,150,976,599,072,230,486,937,706,538,116,036,524,
696,270,437,698,020,668,911,242,488,436,760,541,345,794,514,132,992,711,579,
423,211,918,760,389,156,699,271,997,180,313,308,176,195,028,615,499,046,368,
489,421,283,310,222,723,435,419,735,428,372,754,859,987,981,255,714,978,576,
230,077,156,728,370,387,765,732,549,252,486,128,722,011,328,350,086,643,807,
902,626,313,580,661,853,266,867,130,848,159,968,920,604,864,338,539,713,962,
345,462,275,147,282,311,821,225,947,284,557,611,536,895,071,850,285,901,595,
085,049,466,725,464,271,668,691,031,867,669,022,344,659,827,749,583,469,788,
441,216,858,049,140,317,174,896,810,661,324,094,664,615,088,839,803,835,435,
505,522,225,477,534,955,978,772,509,721,843,742,783,779,380,868,799,514,227,
028,404,695,885,636,389,233,020,027,018,985,047,552,109,153,496,646,251,084,
556,738,017,691,500,485,681,099,812,556,262,394,102,069,875,005,936,101,598,
114,565,808,340,110,990,465,313,025,554,842,554,288,148,379,291,078,683,014,
488,406,050,189,488,210,692,245,820,624,941,364,539,066,705,567,228,349,749,
648,152,493,995,426,634,924,044,231,981,214,524,264,360,712,534,560,032,089,
767,794,188,959,211,701,127,599,555,430,735,051,966,979,542,702,666,532,307,
552,361,954,300,899,469,891,456,218,651,640,195,377,826,983,601,453,420,926,
119,952,173,382,688,907,503,814,927,209,294,528,209,284,506,681,752,886,942,
265,316,771,890,916,769,597,974,778,495,517,138,805,760,394,258,989,314,174,
300,695,418,695,737,266,210,680,330,391,189,250,692,231,437,976,907,479,083,
149,666,897,883,251,614,466,747,714,840,332,955,469,123,038,159,129,155,214,
907,882,780,862,424,229,924,156,416,669,384,753,095,748,304,185,365,303,550,
471,564,341,400,557,894,535,719,858,484,497,469,368,824,820,325,472,721,144,
016,896,438,259,687,059,639,532,955,015,805,878,749,770,921,222,346,327,886,
897,942,603,083,986,159,897,700,964,130,892,944,019,437,753,485,783,143,404,
538,685,471,631,826,254,287,362,491,135,443,283,178,692,639,010,632,129,526,
505,512,235,404,282,974,884,032,792,419,193,653,125,225,832,109,723,333,704,
332,685,995,802,656,213,731,845,952,505,474,842,564,953,737,829,221,137,423,
902,275,830,341,917,964,652,228,042,095,120,466,251,458,388,574,371,487,255,
177,742,701,463,235,900,564,063,169,243,339,250,104,283,375,657,057,950,746,
675,061,246,407,336,873,660,900,130,512,264,803,226,379,544,082,685,618,480,
090,049,671,688,679,734,678,242,867,866,092,830,997,707,305,077,548,509,702,
262,019,045,975,463,455,848,338,944,666,985,790,187,221,119,284,268,632,328,
760,886,336,897,125,787,990,896,045,649,713,460,938,624,995,925,987,822,241,
950,308,735,633,326,825,445,386,147,467,899,193,799,372,251,829,921,825,131,
940,263,079,781,559,396,415,959,181,096,954,289,359,715,503,079,636,070,355,
907,208,238,770,903,053,251,861,629,915,713,817,833,675,213,296,979,010,252,
486,174,017,301,381,104,077,599,327,453,299,769,084,990,384,604,772,668,694,
694,139,550,167,921,653,592,062,803,824,885,787,574,971,740,281,338,037,324,
393,427,856,008,740,876,489,997,745,405,236,262,601,572,201,955,033,029,080,
448,982,429,802,625,754,547,589,446,286,361,057,815,234,650,815,253,059,405,
355,784,224,924,927,665,484,404,216,389,040,521,923,820,297,955,508,441,909,
314,519,752,647,616,999,220,720,103,988,891,985,008,541,208,993,536,441,947,
602,639,113,844,339,461,791,820,891,184,636,005,503,593,357,770,391,322,290,
571,498,232,571,146,047,612,281,854,213,557,261,199,375,664,526,581,556,042,
366,490,076,576,774,552,307,364,445,134,337,648,411,138,890,662,004,080,313,
820,101,406,771,779,992,793,640,235,328,639,881,793,521,168,507,777,496,583,
916,076,086,852,693,779,873,083,171,585,661,063,599,368,703,101,385,786,512,
906,995,259,244,600,775,962,918,157,106,750,194,599,221,532,109,860,071,516,
806,215,488,259,257,974,513,999,980,951,722,125,033,825,637,088,462,122,637,
976,998,861,044,806,495,029,546,187,008,677,869,440,543,457,665,117,265,859,
215,287,251,857,124,222,971,777,519,542,696,194,645,443,383,854,053,965,344,
043,655,084,147,916,853,483,545,933,390,680,243,854,419,658,396,541,968,429,
900,229,300,622,491,242,958,076,495,940,862,684,914,670,612,134,270,239,673,
274,849,705,504,484,420,631,839,559,408,599,107,937,570,623,576,863,270,970,
055,960,856,437,290,693,579,966,467,799,929,563,988,030,615,618,281,703,832,
463,631,900,375,196,865,511,217,874,741,167,882,694,777,926,913,468,280,299,
489,592,417,799,327,019,862,288,874,918,575,364,537,205,477,711,640,470,980,
176,637,514,733,777,751,891,879,354,055,736,338,146,757,117,810,291,955,827,
034,120,948,923,626,369,129,953,411,673,244,000,794,204,111,728,495,544,754,
822,447,438,316,977,089,978,700,133,196,908,355,941,220,991,133,474,850,976,
732,129,452,986,418,208,791,612,095,681,866,645,744,296,075,452,275,550,407,
003,645,268,427,294,792,997,622,484,541,553,745,620,032,857,612,559,887,817,
562,162,594,621,924,122,845,753,723,291,694,032,055,722,789,638,473,081,870,
408,124,413,562,458,579,879,309,001,476,991,765,042,721,188,903,343,042,783,
768,853,371,290,613,551,854,202,661,872,616,335,002,228,164,730,091,450,104,
618,255,574,054,819,569,060,163,468,892,440,373,421,116,706,051,603,190,107,
652,277,317,648,876,731,076,029,212,401,789,025,034,957,294,624,296,552,526,
026,648,257,667,482,586,671,454,787,778,859,184,332,748,691,552,886,541,046,
787,277,067,137,961,224,331,557,321,510,461,704,964,097,119,701,352,132,173,
707,640,622,816,247,309,549,569,017,185,995,657,049,206,488,309,136,091,550,
930,653,408,177,626,251,346,631,406,724,601,778,967,907,416,011,725,007,576,
136,246,367,736,626,653,702,474,320,099,677,952,390,987,680,214,404,373,933,
653,884,215,621,471,943,164,440,030,665,166,402,642,210,324,092,615,014,709,
812,368,889,326,562,744,543,434,849,964,046,038,902,374,062,633,004,564,431,
528,395,662,463,388,712,356,126,190,671,988,899,466,243,958,973,831,842,344,
430,178,180,451,211,867,225,687,146,014,590,802,970,486,913,005,585,199,666,
442,934,353,507,788,047,259,241,620,903,358,765,200,366,159,510,542,519,166,
934,639,358,288,151,800,318,432,006,984,602,500,474,483,272,710,800,426,276,
310,742,945,300,739,169,131,282,262,864,658,030,028,278,150,012,959,162,151,
682,058,221,620,643,598,049,880,071,563,701,324,213,503,984,395,467,887,381,
832,755,453,374,920,266,492,788,782,268,110,486,548,981,871,063,812,114,043,
511,972,165,308,824,690,233,470,638,327,776,890,935,599,005,589,600,355,257,
951,761,219,991,195,056,688,423,958,131,258,004,517,367,387,944,835,826,124,
690,472,897,777,420,499,764,976,115,013,808,823,350,484,565,638,811,509,155,
392,207,940,062,590,751,725,277,150,470,400,970,130,050,987,955,233,215,948,
570,433,542,323,130,766,441,891,444,170,686,706,408,838,475,156,389,155,351,
816,102,361,503,166,794,102,790,383,363,230,118,829,813,158,392,152,690,710,
967,013,164,056,264,639,564,893,208,205,561,340,198,555,896,898,636,587,776,
527,085,746,644,940,157,767,084,634,052,521,846,210,481,337,064,527,301,468,
117,758,416,850,534,038,882,776,093,815,422,565,353,862,702,906,499,363,016,
446,195,499,337,377,386,236,867,650,771,671,822,869,988,695,265,261,363,872,
246,045,842,563,053,063,330,626,437,936,841,396,252,773,368,373,311,405,597,
869,012,310,712,083,465,074,675,062,425,664,303,325,563,640,192,888,636,691,
453,185,304,784,813,582,261,888,827,520,872,741,568,781,853,116,597,379,030,
343,111,352,257,145,719,117,885,648,763,084,890,208,030,688,192,483,847,537,
557,526,591,731,832,576,074,555,842,180,911,964,327,918,848,569,378,128,937,
697,398,769,017,318,470,392,359,031,485,060,661,589,485,990,100,243,669,085,
972,309,637,179,505,306,621,467,798,356,597,108,783,690,451,564,161,151,388,
419,360,316,432,750,559,347,122,861,358,282,700,619,973,015,139,841,325,929,
516,603,618,403,077,217,569,696,582,135,836,361,751,473,411,272,824,622,584,
335,001,666,403,435,241,489,059,232,672,344,877,431,523,207,809,941,719,859,
902,583,582,664,141,522,700,347,064,344,421,254,243,812,883,225,431,282,821,
759,261,476,575,683,790,807,470,358,410,274,406,666,834,383,583,395,842,867,
403,664,059,849,978,790,255,423,576,182,578,470,779,914,167,938,301,763,349,
880,266,320,538,690,934,537,170,712,926,790,011,935,315,213,845,299,269,457,
542,275,728,132,033,418,957,950,764,218,878,915,251,901,554,363,232,158,881,
360,418,556,543,236,982,926,101,491,439,503,707,522,889,134,585,624,244,677,
356,131,761,643,879,481,313,868,585,269,028,235,061,293,271,109,108,073,812,
957,997,467,009,510,334,919,677,286,614,982,052,729,688,301,350,332,215,255,
981,020,166,019,283,595,162,956,278,972,541,252,356,140,284,414,034,289,794,
733,608,324,062,265,653,021,586,243,006,196,648,380,137,280,874,015,461,637,
130,143,277,981,807,102,423,306,604,884,135,896,292,883,667,563,133,213,786,
563,340,997,352,506,241,758,986,477,300,896,340,523,650,074,332,490,564,359,
725,126,476,488,111,162,160,854,983,368,516,188,667,912,554,775,146,833,698,
307,039,953,937,633,858,099,255,459,169,644,766,227,970,457,319,496,772,835,
079,722,551,958,764,629,644,404,330,764,626,423,618,179,233,996,958,783,544,
364,417,834,636,765,008,376,810,539,150,875,866,541,760,253,789,840,073,336,
675,272,869,348,835,631,532,953,541,354,406,296,328,684,611,434,923,265,270,
793,169,316,712,593,142,180,011,243,986,172,844,968,277,604,344,277,126,091,
630,422,214,097,649,297,161,492,043,980,556,530,230,859,880,443,029,838,593,
656,724,939,933,507,173,165,043,318,180,844,353,249,521,843,576,291,231,508,
941,959,562,381,433,429,630,775,227,198,986,151,793,145,776,496,165,015,036,
899,038,488,202,727,639,945,921,440,697,276,606,715,809,429,564,634,938,443,
217,367,851,113,640,497,843,991,212,990,365,597,326,531,630,166,470,024,831,
810,161,808,126,009,111,557,842,051,902,126,071,481,478,325,834,508,512,944,
896,298,810,953,357,215,806,736,267,175,564,378,553,236,020,894,956,004,569,
191,564,320,846,717,104,032,071,957,614,001,024,430,185,910,440,845,411,548,
689,148,806,847,959,433,059,567,822,792,655,235,954,101,748,437,947,110,699,
798,181,397,360,502,735,747,566,667,213,914,127,117,929,169,379,750,895,434,
020,788,108,348,986,988,321,699,253,174,110,576,247,698,089,041,810,046,556,
365,293,601,154,980,417,095,827,208,829,229,139,437,790,294,892,546,416,429,
833,750,215,083,940,700,731,164,239,519,774,770,865,247,020,056,227,889,998,
934,402,669,945,962,203,447,163,560,296,971,741,095,225,597,183,138,363,182,
808,814,759,382,615,210,222,191,430,292,224,059,386,078,998,646,397,735,790,
937,771,853,349,634,074,311,351,048,423,194,736,732,427,300,487,939,483,605,
480,973,161,216,360,007,381,800,549,873,997,130,759,815,235,400,069,083,655,
760,147,440,071,200,100,206,236,401,886,755,131,099,913,270,826,947,953,489,
820,676,764,129,549,943,748,030,072,420,030,387,984,975,252,190,501,539,749,
876,010,915,984,774,579,204,832,676,040,474,567,701,550,383,105,010,292,389,
048,141,865,110,224,671,868,528,998,108,500,587,848,633,618,608,393,700,475,
488,682,912,043,635,767,819,016,356,376,245,772,194,145,323,803,277,848,549,
837,104,456,412,501,222,005,788,640,537,182,797,744,970,750,635,834,284,372,
256,466,484,586,071,553,351,186,840,395,566,162,380,140,312,811,275,708,335,
798,443,831,934,614,127,703,288,086,340,736,236,902,088,781,126,728,551,671,
876,828,310,759,227,268,380,375,186,489,324,382,353,722,044,363,990,470,229,
651,106,568,539,563,518,842,090,969,034,436,726,934,721,822,859,068,258,155,
194,739,592,145,757,560,884,725,644,570,023,786,524,119,336,384,754,990,606,
580,690,293,823,618,420,614,886,763,856,191,327,222,030,249,835,322,614,664,
931,980,652,940,192,039,791,318,122,001,725,808,823,024,219,277,622,966,159,
483,826,753,508,935,588,482,158,202,733,369,515,723,320,147,094,862,493,579,
673,115,221,839,218,422,735,432,926,620,355,709,132,296,751,912,748,321,902,
972,525,474,366,411,700,294,178,915,643,557,031,423,325,575,435,660,048,386,
893,893,444,639,626,041,864,778,394,872,413,055,163,688,597,599,180,887,913,
826,860,546,383,654,084,762,535,535,167,255,043,036,036,080,684,271,593,027,
663,268,379,218,718,817,106,065,410,890,321,829,862,034,338,239,037,213,401,
401,125,189,551,724,364,022,216,554,290,443,895,744,445,983,483,011,888,168,
180,582,390,265,107,764,950,425,363,678,037,343,350,372,839,147,630,340,527,
148,595,428,771,351,526,540,747,639,936,857,799,028,363,902,265,072,785,856,
746,089,511,639,627,524,019,286,953,519,387,594,409,267,202,136,652,119,817,
934,355,173,770,313,289,934,982,772,476,050,925,440,954,625,847,545,360,637,
504,362,957,049,678,261,225,806,550,440,457,844,866,528,393,852,675,903,228,
111,539,794,374,341,739,200,141,925,499,648,449,993,716,559,671,818,360,697,
715,672,312,350,181,632,540,855,606,014,829,378,666,606,045,898,165,128,852,
124,289,272,250,529,523,036,738,469,374,348,328,065,744,288,810,836,114,315,
302,601,904,128,112,630,277,697,590,248,503,210,736,309,443,357,986,477,112,
901,543,073,830,953,201,826,163,069,554,655,873,580,458,119,680,361,726,272,
282,051,699,891,838,215,516,950,518,835,412,292,765,960,699,362,444,231,926,
808,326,393,914,226,659,479,942,239,841,261,352,349,184,501,530,305,363,035,
303,037,024,789,660,436,711,279,033,511,944,116,459,146,272,222,721,891,552,
937,394,432,280,878,073,341,683,993,785,334,115,003,863,425,972,948,553,799,
207,099,072,516,211,554,135,725,427,420,273,864,103,857,691,767,013,765,722,
208,433,072,755,973,851,383,134,188,565,488,540,136,895,415,809,313,769,039,
832,538,859,335,163,633,412,837,914,342,809,549,854,413,470,855,750,181,129,
395,835,404,220,588,320,640,328,971,287,766,296,753,875,149,825,276,762,587,
123,687,140,143,712,569,990,973,901,441,438,260,750,974,869,881,572,668,546,
752,449,876,982,912,671,532,984,435,945,840,393,955,040,097,947,966,758,934,
498,276,629,450,324,834,824,549,826,136,652,688,111,469,396,596,408,947,590,
776,746,189,393,917,623,255,447,123,420,059,903,600,073,572,608,257,456,108,
266,695,825,867,231,239,031,715,517,536,170,428,411,975,247,651,516,036,902,
245,171,631,330,635,929,485,697,731,000,074,712,278,330,764,492,124,157,847,
220,841,638,037,127,195,671,238,010,845,495,540,970,451,135,338,353,845,241,
045,565,454,895,530,461,011,562,725,701,014,996,432,702,835,482,471,893,356,
845,341,111,597,560,420,242,422,968,031,311,155,806,935,084,897,530,831,159,
916,787,817,064,313,118,242,660,596,756,083,644,300,403,520,921,520,878,690,
913,595,258,628,214,388,256,377,343,273,556,444,090,436,934,350,768,406,787,
061,405,175,194,726,475,628,776,699,232,007,583,723,763,770,942,066,489,445,
997,365,198,462,358,905,515,754,816,529,769,829,560,689,175,364,148,091,374,
176,508,872,244,489,429,129,346,242,897,316,791,913,852,102,575,435,724,423,
416,967,304,061,323,629,730,669,705,495,408,112,193,620,929,950,576,567,249,
554,672,418,795,346,351,008,244,261,457,145,729,876,506,147,094,779,836,362,
391,135,790,896,322,482,068,086,548,694,435,556,220,777,777,407,750,946,685,
532,442,676,086,174,782,861,203,856,050,801,410,337,589,844,071,920,325,636,
491,070,320,513,592,322,624,493,505,600,380,198,509,777,129,461,769,966,193,
383,887,887,687,610,792,492,227,163,103,339,481,051,544,600,600,995,856,718,
141,142,255,557,615,086,852,298,601,505,998,324,215,985,654,119,584,530,610,
168,823,649,819,400,701,800,758,506,237,357,896,897,380,568,681,282,962,393,
755,044,739,872,370,484,116,512,920,307,630,519,597,419,380,102,172,155,202,
743,489,495,989,622,728,451,739,346,263,131,166,086,570,837,505,974,312,916,
906,549,110,578,247,500,840,873,208,422,417,849,660,343,742,657,323,178,300,
640,389,790,584,491,381,759,501,102,167,962,818,996,007,081,981,177,895,962,
972,988,962,286,150,579,096,244,689,190,255,530,793,409,131,036,060,141,443,
638,311,773,726,270,718,856,173,978,563,903,151,144,077,684,884,837,005,863,
776,359,867,216,280,193,638,577,546,617,099,537,763,054,806,116,404,220,184,
307,808,799,716,264,999,521,372,697,528,684,495,321,053,482,357,598,604,604,
586,396,446,966,042,503,074,368,838,948,140,497,986,197,614,453,296,671,297,
295,560,872,259,242,312,254,099,412,704,395,411,044,146,123,502,727,506,782,
047,619,057,168,242,994,118,157,224,510,919,261,465,413,476,365,638,056,759,
664,471,577,539,457,186,533,912,433,933,174,816,738,769,756,827,475,772,529,
009,125,913,184,594,524,177,165,433,324,100,217,320,610,028,984,281,892,862,
492,751,136,658,853,334,450,497,718,620,580,680,221,054,721,913,759,274,096,
287,087,900,610,286,901,118,283,233,994,070,017,691,242,882,255,024,000,851,
433,126,885,765,723,730,874,531,105,521,304,805,517,595,171,339,742,055,341,
719,212,908,449,699,901,950,179,114,124,522,443,733,213,574,799,825,229,639,
027,813,029,002,985,221,860,424,003,773,250,861,225,786,251,189,817,271,062,
304,086,320,996,396,231,658,846,299,381,185,713,002,525,808,359,657,355,418,
914,443,787,143,183,147,070,442,175,615,066,713,120,197,987,251,276,473,140,
616,538,429,459,624,306,468,847,887,763,417,863,394,446,582,141,515,310,005,
479,438,078,519,794,256,076,370,443,245,158,247,758,965,641,587,688,587,662,
262,347,912,976,871,293,838,915,157,040,775,163,062,992,605,137,990,523,672,
623,193,577,759,424,640,287,824,558,371,758,839,993,214,795,938,824,791,892,
341,175,282,633,855,837,296,582,206,263,538,427,678,960,680,267,791,107,700,
698,485,454,117,970,892,080,061,948,674,889,748,008,070,994,819,535,494,255,
872,320,431,116,317,341,117,741,803,546,232,123,326,696,670,481,944,306,124,
299,663,847,054,847,436,617,494,299,298,374,907,429,937,240,319,844,751,260,
617,254,022,226,868,929,369,554,750,894,166,740,297,064,849,655,333,083,355,
478,822,651,882,235,858,645,750,746,941,579,014,843,201,151,846,515,878,153,
722,689,946,247,627,622,539,775,797,765,896,285,941,742,990,695,590,134,649,
310,396,342,803,257,907,331,538,740,071,452,420,639,576,373,374,158,360,627,
592,485,176,515,628,781,778,984,736,660,229,554,143,544,212,596,964,052,557,
506,790,541,051,297,019,295,391,561,934,874,726,649,601,216,543,493,646,290,
302,073,656,456,375,502,650,866,170,751,021,252,930,385,939,012,962,716,924,
955,111,429,623,570,928,749,556,591,473,818,939,360,880,858,496,586,062,986,
357,416,993,555,492,548,847,478,922,902,487,422,490,758,538,536,129,962,204,
920,783,432,842,740,808,992,030,110,706,499,040,941,076,508,202,143,120,277,
165,891,143,789,661,388,364,933,704,864,535,401,673,483,274,855,873,616,210,
008,137,370,292,989,634,668,614,089,243,762,212,341,823,828,712,825,364,760,
895,416,823,335,319,507,231,737,827,056,881,307,021,678,956,840,146,818,826,
375,745,575,638,293,105,371,419,623,364,196,767,357,323,166,352,776,907,942,
969,048,725,812,380,392,182,612,848,809,600,544,191,464,645,261,283,337,274,
342,134,526,012,206,510,307,969,698,405,258,857,345,733,303,981,685,062,053,
440,979,188,318,665,306,856,473,933,303,630,184,249,649,011,024,153,483,647,
042,628,073,022,099,382,079,878,779,436,225,629,442,775,000,510,724,599,781,
123,884,753,185,431,852,501,086,752,931,141,701,374,889,375,321,872,835,086,
840,847,235,980,649,842,859,859,049,470,651,968,731,552,235,243,907,187,698,
424,636,259,312,122,478,527,486,004,963,255,167,372,718,582,940,667,211,477,
090,100,979,897,456,169,461,949,555,123,530,273,900,303,443,183,317,600,396,
066,438,727,300,265,378,984,873,315,362,268,664,314,978,975,416,958,296,364,
895,278,059,873,228,748,608,961,886,785,396,852,948,123,948,948,010,540,695,
900,640,101,186,549,769,523,465,209,351,416,315,711,660,763,915,476,984,006,
009,400,701,248,346,170,438,608,961,098,000,198,653,515,709,195,747,661,751,
562,126,192,426,910,663,746,505,124,407,285,310,483,546,117,124,717,610,027,
531,815,298,722,104,106,092,345,038,788,053,177,859,871,026,170,306,773,490,
965,219,878,755,301,202,882,535,321,553,324,871,937,034,801,592,534,308,122,
754,063,499,036,073,055,238,290,374,338,836,700,251,437,035,060,618,065,076,
851,916,226,443,741,827,728,865,202,338,651,842,002,842,420,806,772,369,661,
528,021,593,632,130,765,243,992,153,997,881,183,507,753,709,846,772,587,041,
207,551,601,427,486,224,394,697,832,325,325,056,863,649,316,353,739,574,471,
324,219,496,530,485,211,537,104,121,417,908,323,343,037,184,301,269,810,106,
309,313,505,754,026,540,113,971,434,736,879,210,162,067,938,707,648,219,498,
898,093,358,213,310,265,583,319,912,772,849,113,471,458,547,678,114,843,102,
704,317,304,267,363,669,463,610,901,497,405,837,681,082,734,955,473,757,963,
640,095,192,735,379,538,596,698,420,485,940,715,158,984,263,212,166,313,158,
965,481,323,652,438,107,356,582,921,036,485,766,351,381,109,112,710,071,517,
376,415,524,532,889,129,299,420,344,559,667,815,153,162,234,758,035,598,958,
463,243,472,274,569,348,339,131,640,472,755,932,890,420,021,548,910,501,407,
284,899,027,076,154,938,259,496,335,806,304,806,244,337,010,863,613,136,054,
070,475,290,712,938,495,401,790,863,270,117,809,211,269,974,803,796,612,861,
381,506,564,647,595,726,898,711,883,392,159,666,308,198,506,653,768,587,787,
762,030,133,339,706,106,131,109,084,084,460,222,557,766,357,406,033,081,695,
596,617,657,529,239,503,027,731,418,071,233,089,525,739,393,994,983,738,542,
861,778,880,380,283,887,708,687,112,762,129,883,414,367,700,785,056,199,117,
926,178,878,882,763,900,230,048,444,328,453,036,131,589,997,688,261,448,156,
100,398,660,996,669,055,473,511,459,975,319,117,188,414,754,531,606,221,783,
321,500,560,442,755,376,628,794,121,106,354,328,788,366,362,908,119,689,620,
471,880,048,961,350,830,939,695,084,379,125,854,816,040,859,483,469,276,927,
546,907,243,075,697,392,022,202,148,683,116,857,970,998,042,355,482,553,265,
230,252,072,761,349,576,137,718,159,551,346,561,743,130,223,174,629,353,839,
944,696,603,798,068,392,942,079,856,698,455,111,725,071,593,338,452,275,525,
445,233,783,699,339,440,830,893,872,085,151,729,890,600,897,977,868,242,618,
055,756,001,006,881,143,374,526,163,460,596,097,408,966,912,786,618,261,244,
870,967,118,507,886,258,338,206,302,482,631,289,491,287,119,935,015,122,072,
008,972,391,396,752,358,986,535,114,725,587,403,772,033,814,392,345,220,712,
028,268,365,331,000,801,354,678,534,612,399,693,195,951,231,170,801,739,542,
323,906,552,206,051,310,149,337,132,344,635,026,496,265,739,297,629,732,747,
470,432,393,647,711,617,545,397,209,856,923,359,910,034,883,806,244,592,330,
150,146,517,282,715,149,320,550,429,230,265,189,308,353,841,964,212,605,737,
197,905,758,745,934,272,123,359,288,243,534,483,713,949,728,468,208,637,648,
037,553,458,392,563,113,356,153,738,880,807,736,376,229,067,738,123,996,041,
586,439,353,066,676,722,281,389,964,786,521,959,759,585,262,279,955,990,975,
726,428,380,983,570,327,147,523,672,884,655,475,508,887,955,588,472,067,875,
225,177,675,542,062,069,822,728,928,569,157,863,698,352,255,390,558,739,027,
105,996,828,543,665,647,681,571,640,760,700,428,685,053,493,892,711,320,219,
964,171,325,946,674,012,753,828,494,528,272,491,927,304,509,026,228,120,345,
274,901,716,074,367,801,630,869,320,081,628,225,396,478,891,525,219,912,307,
022,853,799,764,088,030,701,523,031,469,606,044,516,335,066,098,349,013,411,
069,627,671,531,977,699,277,075,887,062,305,622,581,542,910,557,156,076,400,
626,872,732,710,686,234,223,428,253,995,378,860,683,635,268,865,261,394,935,
396,941,292,577,132,979,332,214,822,457,282,257,863,321,349,972,923,892,048,
952,570,617,774,921,240,151,426,433,581,041,194,039,586,013,555,772,126,998,
090,301,532,173,803,896,072,019,370,073,236,834,259,470,824,203,730,587,112,
125,440,021,010,963,487,347,907,181,964,285,272,961,185,456,992,881,934,499,
271,066,832,864,675,801,353,956,464,877,542,549,628,884,413,493,740,905,680,
266,917,163,128,639,431,781,594,639,716,312,219,062,462,776,746,673,726,800,
944,697,815,121,325,564,549,293,740,003,667,067,063,183,214,087,033,303,029,
503,368,580,130,569,348,059,561,418,286,504,356,401,113,183,955,925,781,594,
404,468,919,714,678,028,539,354,561,313,813,272,870,933,532,390,626,585,746,
488,799,809,142,105,435,583,507,744,258,817,536,562,598,049,941,562,105,708,
967,238,209,469,703,833,029,858,877,335,835,142,408,322,815,131,102,682,205,
061,594,675,818,350,867,719,161,190,141,353,937,729,894,662,122,669,852,388,
027,467,987,960,010,685,447,129,908,342,389,491,509,615,444,298,368,617,292,
611,303,526,737,547,695,891,745,191,926,784,225,442,612,943,871,073,669,721,
004,346,002,807,652,690,738,106,159,771,001,530,053,237,576,097,203,700,622,
186,481,800,904,879,926,394,305,010,645,351,566,905,410,701,534,970,858,959,
138,700,311,299,937,668,552,737,069,638,002,848,243,868,448,780,867,808,150,
066,113,139,823,518,024,449,928,299,870,840,057,663,449,007,967,297,138,301,
218,099,106,256,326,810,864,508,389,971,407,385,183,200,998,246,409,337,611,
115,211,606,993,588,467,767,584,367,583,030,451,377,813,446,145,305,380,850,
006,000,265,275,022,839,489,398,831,929,636,869,210,626,729,747,742,640,941,
775,709,453,857,957,978,199,968,740,415,056,337,259,080,975,212,661,856,175,
620,891,808,205,224,430,729,525,916,334,442,113,936,487,104,390,888,763,342,
860,451,048,226,472,584,739,825,175,256,047,393,835,708,975,419,876,347,862,
058,974,803,256,374,423,662,952,822,096,322,010,167,155,634,713,036,193,146,
800,716,640,111,330,367,235,676,556,280,011,393,731,903,396,580,409,425,706,
320,102,254,759,010,042,562,623,768,202,322,288,347,169,656,204,517,743,187,
487,609,558,432,454,126,308,819,099,922,156,422,840,573,382,271,557,019,910,
315,605,641,262,376,829,227,099,441,492,929,208,672,888,261,109,214,304,015,
437,201,304,847,317,582,419,733,930,644,727,768,803,032,765,038,627,267,468,
763,900,903,668,241,267,082,247,145,170,823,806,140,724,170,722,728,428,814,
594,286,722,387,602,061,136,254,485,411,870,042,901,512,552,266,925,189,966,
506,859,252,163,456,154,017,101,597,969,856,092,143,937,336,054,524,769,721,
093,180,618,524,405,673,711,116,171,517,348,118,296,603,321,537,613,149,003,
757,494,864,139,376,212,172,427,286,481,726,463,141,187,191,403,747,679,846,
273,572,686,780,654,402,461,272,529,224,284,530,883,487,385,450,447,522,962,
253,137,261,059,421,470,519,116,288,221,212,717,676,649,964,954,560,464,233,
417,923,942,558,293,891,426,668,831,825,339,183,799,122,736,560,501,680,432,
084,126,571,367,500,922,025,466,432,453,491,324,803,132,830,549,885,152,090,
491,841,847,406,867,682,137,336,649,347,247,364,323,733,369,645,301,874,360,
881,260,909,998,137,368,702,456,804,113,689,707,883,862,166,677,476,273,157,
882,362,785,131,090,046,152,973,983,356,442,391,246,919,608,127,460,670,785,
616,449,764,642,267,817,440,166,439,223,289,280,375,836,627,434,020,964,174,
079,636,593,275,082,575,110,064,800,525,017,317,822,286,489,616,503,888,798,
941,715,014,248,243,412,049,112,579,697,040,932,813,070,834,698,026,992,429,
185,049,316,807,136,846,721,802,814,482,180,332,366,820,721,707,284,314,925,
921,295,663,786,706,249,712,940,739,460,984,224,944,211,056,998,724,288,099,
979,133,696,509,886,354,784,189,357,118,003,427,024,285,729,714,997,772,572,
554,354,773,664,656,003,398,495,058,707,341,914,952,915,958,066,135,153,207,
784,231,802,733,195,155,680,681,061,490,797,913,952,893,581,354,780,332,599,
208,853,753,212,033,562,054,594,625,270,670,161,624,857,971,105,264,548,230,
074,508,876,862,047,184,154,348,792,448,513,470,123,979,101,314,368,123,398,
701,963,386,607,169,022,057,141,088,619,123,969,557,370,637,614,381,122,263,
716,997,698,223,728,820,061,738,578,920,458,390,728,441,957,640,607,200,169,
146,552,646,717,922,623,945,151,793,184,271,327,926,339,467,799,306,730,615,
889,889,975,613,414,068,024,985,099,394,336,507,143,291,483,854,471,882,889,
321,213,761,513,117,321,074,713,640,063,414,579,961,770,942,125,652,524,669,
255,435,928,854,297,691,248,259,140,133,109,484,083,692,328,967,828,822,709,
007,764,535,182,966,350,641,580,795,199,632,033,306,036,962,674,514,973,860,
226,185,360,914,449,048,563,748,447,412,915,705,419,299,923,780,545,256,828,
369,901,253,489,016,787,622,440,059,571,081,569,739,186,041,161,849,507,099,
759,770,458,253,451,488,933,022,242,884,790,038,852,017,430,658,204,508,190,
384,371,785,251,440,780,540,795,309,753,516,211,803,126,119,546,936,274,581,
813,276,621,136,879,798,343,073,859,804,502,805,795,671,041,049,731,004,109,
145,535,832,250,002,050,304,374,391,551,737,923,473,252,154,188,417,421,790,
820,841,186,789,055,647,259,659,685,567,738,017,171,543,904,804,397,766,037,
889,667,504,310,481,199,785,589,586,138,297,448,350,666,263,473,266,078,522,
274,084,399,347,445,379,850,616,703,066,606,888,859,918,615,752,929,724,958,
084,173,280,775,984,136,126,384,283,963,690,961,774,833,483,447,193,803,397,
583,544,698,556,569,557,708,656,036,193,712,913,195,183,788,545,059,926,544,
766,722,709,622,489,741,636,272,831,376,432,320,595,102,329,862,655,553,634,
970,740,346,549,374,109,732,912,105,730,062,672,953,138,568,850,976,181,691,
364,356,323,294,049,500,655,716,117,787,556,836,072,001,828,678,702,301,220,
499,629,941,246,091,109,807,027,972,607,405,495,982,043,522,551,523,987,202,
646,820,857,252,530,738,835,886,250,644,182,891,174,716,593,984,130,053,553,
267,605,061,254,302,214,464,940,352,987,047,382,637,585,178,690,008,052,844,
675,647,121,638,722,004,387,123,159,083,635,648,700,632,919,230,016,204,162,
120,748,959,412,707,337,286,948,539,793,076,844,937,001,136,691,329,281,407,
850,208,506,532,633,726,166,865,275,075,131,998,687,027,278,690,196,427,199,
421,607,621,147,187,127,856,765,371,513,307,348,553,850,976,370,520,816,477,
650,679,275,464,044,999,030,328,201,690,439,939,379,071,223,663,453,768,010,
930,799,207,445,709,925,380,321,147,188,396,283,582,030,411,437,400,401,949,
383,628,004,485,804,268,553,192,351,399,440,692,142,893,421,871,043,503,064,
735,633,749,459,110,440,803,087,197,110,784,616,479,817,587,129,034,248,671,
015,264,528,075,876,531,693,892,332,888,677,804,125,722,469,084,200,714,952,
664,345,593,879,261,276,454,986,009,244,856,694,692,441,324,799,311,127,591,
804,620,692,423,110,535,555,902,281,638,918,156,471,820,126,795,840,460,568,
977,175,299,741,968,220,148,375,711,731,345,624,511,360,182,097,614,508,190,
678,499,297,975,532,667,870,862,148,156,524,927,121,216,782,378,488,582,684,
743,770,047,032,707,249,651,081,274,494,702,871,084,653,598,820,103,024,298,
693,026,282,961,114,695,482,081,192,165,100,637,066,880,429,094,369,184,541,
952,065,613,297,254,281,369,493,782,542,203,054,447,467,343,642,313,015,295,
566,679,806,017,850,548,717,842,099,527,883,166,682,760,091,079,889,060,742,
282,814,380,071,944,546,938,700,205,162,505,532,384,372,245,704,344,150,922,
082,623,314,438,739,371,553,258,194,933,891,740,015,954,667,863,170,866,054,
598,560,340,869,844,867,353,064,695,283,308,701,067,642,830,703,099,757,175,
486,717,589,258,525,841,203,476,399,157,092,694,274,414,935,989,422,903,452,
416,572,677,237,070,036,469,649,016,717,451,580,863,639,650,623,697,585,186,
244,079,675,769,964,130,478,126,738,587,515,740,759,791,038,471,733,808,414,
709,301,870,372,736,959,938,971,601,142,177,763,206,059,924,658,592,469,772,
822,902,552,225,075,776,756,389,785,987,578,785,916,540,619,253,342,344,588,
612,105,878,045,721,568,530,911,578,623,393,753,679,272,150,412,623,217,886,
805,375,121,541,507,955,204,737,850,520,100,147,221,387,633,702,393,163,152,
823,845,858,731,331,519,219,321,554,859,017,609,442,786,504,491,038,759,671,
337,114,694,761,536,812,349,269,046,791,100,191,028,920,766,175,572,178,542,
972,602,119,272,156,228,557,174,599,295,765,494,081,883,099,656,610,965,775,
426,909,104,312,724,000,652,388,721,249,757,162,553,611,533,322,129,784,886,
386,921,355,983,374,517,524,581,301,859,516,316,612,708,320,259,849,312,987,
211,148,925,942,031,095,340,369,093,464,058,612,002,196,810,377,912,174,670,
882,863,524,010,711,177,913,590,031,214,310,631,420,238,808,098,518,252,244,
759,756,912,319,309,969,969,489,515,064,090,734,021,623,258,398,402,287,573,
047,150,509,985,876,642,940,683,683,785,949,972,538,773,742,598,801,262,456,
462,840,919,008,580,401,686,076,325,890,357,763,831,015,127,355,837,772,485,
702,720,897,497,855,688,007,091,484,096,435,836,667,069,198,749,925,747,964,
100,435,707,107,046,650,709,767,852,809,277,516,623,978,216,557,145,520,985,
166,430,501,380,604,209,838,482,842,698,814,279,294,247,047,620,909,492,233,
709,780,458,318,557,111,234,554,004,750,320,304,627,186,691,124,714,971,976,
251,540,167,659,835,590,221,832,354,023,160,324,051,096,861,899,279,206,590,
740,580,644,264,051,372,005,834,999,059,503,625,638,742,680,253,757,229,340,
909,848,250,791,883,445,349,385,162,179,808,615,580,447,392,673,977,102,796,
793,567,103,299,883,785,170,401,693,340,031,082,900,312,890,745,241,447,473,
402,425,994,667,308,629,299,393,881,822,361,791,315,241,171,522,468,396,644,
504,314,403,187,380,790,994,462,615,594,870,383,435,198,864,114,585,814,150,
051,276,366,781,736,677,025,679,924,469,937,404,070,064,577,372,050,772,970,
080,639,901,949,417,854,134,225,435,363,980,939,380,202,579,660,025,024,563,
164,750,864,562,034,431,026,148,129,565,551,920,874,475,413,880,145,398,431,
697,317,085,519,071,181,745,720,765,290,543,326,220,745,650,474,783,257,792,
151,953,226,251,926,205,489,998,286,686,398,937,842,433,172,024,869,596,152,
941,418,125,092,674,152,556,451,100,572,309,580,902,896,776,675,569,416,791,
821,011,349,288,204,672,102,137,927,309,207,295,100,832,130,273,721,744,746,
707,660,040,118,496,235,361,833,305,212,602,951,881,979,345,205,015,425,362,
152,235,903,205,888,477,210,688,356,524,464,171,979,928,959,170,753,686,915,
804,688,268,251,990,474,620,951,150,804,007,164,965,600,874,268,390,458,655,
430,403,968,643,900,688,454,719,693,833,064,161,920,342,213,803,518,800,374,
231,875,202,765,845,795,992,512,224,317,424,969,991,188,923,796,101,510,132,
694,714,657,929,220,399,085,411,444,879,751,214,394,590,553,112,908,153,467,
109,810,697,193,131,203,331,951,063,225,654,780,546,750,964,968,327,031,366,
665,432,433,222,825,509,274,090,841,224,032,882,333,610,407,599,560,150,842,
538,207,940,296,383,552,294,325,458,831,720,977,931,369,666,625,637,787,138,
843,575,410,029,111,863,172,819,373,236,770,788,053,961,737,406,419,561,533,
405,749,536,118,354,006,609,167,991,864,099,523,244,448,700,012,268,755,896,
751,494,536,447,559,130,035,533,178,652,512,288,126,160,471,173,386,136,238,
008,292,917,706,721,901,101,466,433,458,154,185,835,682,006,449,921,489,968,
740,573,194,411,397,070,272,156,932,755,763,489,842,921,971,649,325,013,326,
891,161,992,860,821,414,750,719,845,504,895,791,125,328,219,582,872,948,834,
191,994,100,425,543,377,744,686,078,150,943,471,579,558,601,858,036,650,811,
558,947,300,910,756,585,515,636,458,195,733,493,481,149,589,318,600,210,416,
705,902,046,940,072,079,073,871,393,245,981,739,940,367,821,418,376,191,852,
272,857,887,310,484,650,325,826,396,040,102,108,980,200,508,293,481,147,697,
917,890,706,791,019,991,150,917,032,371,396,999,556,864,589,357,441,571,710,
780,779,644,938,199,905,037,603,040,681,320,368,547,470,718,699,299,367,886,
633,042,437,760,698,250,953,824,909,623,585,352,028,214,920,326,951,634,994,
687,408,755,095,058,631,015,703,653,384,937,468,374,104,517,615,325,103,067,
008,088,892,490,874,260,091,829,747,590,298,503,519,951,711,568,977,634,506,
140,084,094,853,336,858,295,244,772,811,766,117,743,948,394,079,686,347,632,
365,429,037,662,587,792,530,841,112,023,212,125,715,494,246,289,433,104,399,
765,797,326,811,197,738,152,211,566,234,964,295,933,320,296,092,142,137,600,
349,083,980,836,977,184,840,188,693,619,806,757,067,099,968,399,998,729,810,
360,149,859,559,391,318,415,151,570,231,725,731,434,941,383,336,395,598,157,
930,231,679,979,083,499,034,349,907,148,184,324,156,340,974,005,565,451,830,
194,836,311,560,959,398,982,974,988,068,833,123,410,297,626,759,365,336,760,
580,998,040,774,847,533,766,739,440,216,100,615,794,395,884,160,183,807,007,
131,137,142,244,843,075,273,131,553,291,374,629,577,354,746,754,825,805,345,
204,274,555,622,587,840,340,627,230,944,922,599,994,487,823,214,287,433,321,
825,032,950,235,154,957,218,507,446,407,476,656,081,141,008,817,124,963,654,
328,884,843,270,041,524,026,286,743,580,912,623,876,983,103,817,261,795,555,
384,329,550,841,687,563,298,152,660,024,053,261,572,815,485,984,367,347,201,
235,728,289,626,937,930,055,492,118,644,280,982,822,162,670,280,543,036,535,
380,857,456,276,842,870,898,984,079,311,714,686,403,467,306,310,795,802,150,
231,656,955,916,233,466,507,799,544,585,114,863,420,984,565,328,713,603,005,
254,547,459,145,089,579,156,646,154,866,797,415,573,846,162,690,669,233,161,
613,555,020,436,914,699,386,703,176,425,056,540,148,896,626,208,294,934,944,
327,383,030,569,426,470,085,587,054,570,006,397,041,221,776,633,947,437,430,
975,180,758,798,654,459,249,451,786,206,118,762,822,772,084,623,630,702,185,
894,545,062,857,747,460,605,057,384,513,921,176,573,336,652,132,248,647,089,
858,591,159,805,689,993,541,421,381,245,393,157,262,665,828,568,966,059,769,
255,204,529,151,424,554,868,780,123,498,385,800,568,880,703,292,918,400,141,
147,007,583,323,277,274,035,508,371,402,496,651,219,003,597,393,345,609,994,
400,405,238,044,973,496,318,143,651,426,142,197,435,939,243,729,096,514,071,
253,420,452,389,615,729,310,984,267,523,722,196,720,771,114,086,753,385,185,
170,810,980,600,979,335,876,055,012,305,832,239,695,687,010,856,280,682,692,
776,690,216,033,771,470,215,213,224,086,249,542,534,483,108,048,941,294,707,
430,966,080,988,198,153,857,986,763,960,256,600,649,023,615,539,185,166,773,
385,139,778,340,343,411,939,893,884,457,414,939,457,864,783,775,306,734,725,
252,381,511,285,589,474,935,649,561,250,771,615,562,053,059,441,411,338,849,
803,889,981,602,623,255,062,274,815,175,173,485,722,776,426,979,544,571,246,
572,250,500,832,123,885,467,592,800,146,632,487,576,205,262,016,421,395,147,
467,025,005,812,967,695,652,569,332,568,140,194,692,843,536,822,408,298,556,
996,012,072,200,362,337,709,078,256,300,931,251,368,559,084,786,026,583,387,
102,785,323,619,997,170,190,443,365,363,948,800,218,135,998,071,710,066,311,
176,277,816,381,366,411,076,894,662,542,638,214,296,096,531,654,088,300,844,
769,714,664,134,045,946,224,666,875,238,694,085,685,683,734,606,287,715,129,
859,681,047,946,214,560,830,300,175,696,082,352,234,881,845,113,005,537,350,
830,959,790,422,719,414,580,734,719,092,193,711,622,028,915,298,678,821,516,
920,387,986,321,682,010,978,023,342,342,735,843,166,381,725,116,522,878,851,
833,497,781,206,190,816,818,768,089,205,597,069,159,538,838,889,762,055,589,
722,682,059,151,165,828,222,757,877,383,201,833,820,569,948,464,456,915,430,
044,108,736,868,172,479,888,800,562,086,223,170,234,319,551,590,963,837,225,
659,371,019,812,555,207,181,207,405,315,522,912,643,974,206,860,157,051,392,
771,109,521,988,819,447,493,379,314,009,280,483,073,492,517,212,336,306,677,
695,262,078,748,715,224,519,380,824,549,899,391,392,100,909,943,867,422,731,
699,467,498,270,752,513,607,631,919,127,550,316,195,913,089,021,901,506,125,
985,419,370,733,780,943,000,432,576,536,688,894,925,676,689,792,383,923,124,
728,902,875,623,752,596,658,328,792,343,504,393,758,535,759,748,665,199,572,
457,375,949,278,391,647,395,101,345,023,054,479,017,074,120,688,271,350,413,
330,000,314,402,341,395,531,827,741,120,456,852,951,132,562,244,246,867,915,
006,499,665,151,081,977,778,767,442,200,010,880,250,806,512,147,601,598,233,
802,083,121,916,468,942,931,286,631,177,816,134,518,230,521,392,720,946,039,
406,769,662,449,704,247,002,100,934,223,677,557,689,108,988,563,809,264,123,
226,962,598,983,887,638,025,034,717,501,980,811,641,282,489,087,097,903,830,
711,951,248,322,459,521,012,225,321,095,894,811,582,479,511,952,936,801,709,
898,364,803,989,256,098,723,985,899,220,173,324,987,922,817,742,235,728,866,
677,706,658,801,565,585,570,012,055,728,085,311,961,056,010,267,507,997,963,
490,415,700,877,809,787,675,456,329,505,183,440,395,729,912,842,817,238,926,
302,745,637,013,303,742,527,279,904,744,365,130,766,353,902,255,029,888,441,
625,140,204,126,681,311,255,197,817,698,820,426,686,893,557,359,599,430,899,
438,802,689,030,920,249,783,800,482,046,393,455,522,812,240,881,234,511,873,
153,163,907,363,457,699,892,715,131,820,719,301,105,220,971,126,405,170,279,
194,768,369,483,791,040,815,695,265,881,804,583,991,506,322,423,917,271,378,
128,483,779,601,357,717,912,330,781,748,697,296,440,545,485,614,357,735,909,
784,232,801,118,879,156,912,616,156,712,339,191,807,066,872,106,179,286,042,
024,610,848,234,389,585,133,586,085,262,584,046,096,167,943,184,322,600,323,
825,100,660,242,890,727,575,266,309,620,087,613,293,936,572,492,032,753,247,
380,677,421,048,335,924,090,660,149,272,530,066,279,510,873,680,254,255,210,
396,482,170,977,847,002,277,297,582,520,415,590,640,331,651,158,438,754,901,
542,372,832,170,216,218,918,713,926,127,154,921,406,796,550,046,764,004,581,
398,538,742,924,576,223,165,033,592,421,963,617,305,068,110,645,533,045,870,
109,376,697,548,166,327,230,847,416,406,484,351,234,456,279,783,233,939,840,
131,428,877,694,154,033,592,982,088,686,986,001,291,613,784,912,659,658,119,
082,588,683,439,711,282,213,085,903,227,998,678,994,646,058,972,847,153,351,
404,432,338,875,868,796,013,097,620,690,860,694,104,976,248,661,123,303,887,
363,566,320,951,378,000,378,934,559,545,359,576,208,531,255,394,756,182,125,
676,249,565,138,278,718,330,152,723,623,562,514,222,118,105,957,849,148,426,
427,308,859,597,318,675,765,455,470,319,874,001,526,665,116,663,463,349,584,
397,802,403,869,274,811,507,134,004,699,103,180,546,412,069,913,106,481,723,
054,168,458,461,367,498,248,519,197,525,707,891,306,481,820,514,244,218,322,
317,289,160,152,355,282,683,989,511,495,772,960,512,614,469,355,273,464,720,
896,823,615,113,539,923,689,249,879,391,159,787,725,725,496,052,425,734,810,
912,778,642,010,335,168,969,946,757,974,476,130,869,489,625,840,484,557,376,
313,794,793,604,748,412,700,856,126,000,080,373,903,514,860,626,069,074,527,
264,029,997,108,446,082,905,404,079,805,559,533,419,950,825,853,089,445,097,
868,122,048,768,209,445,673,736,741,222,652,024,421,229,606,588,920,235,051,
329,564,218,457,825,777,417,233,191,600,987,140,696,247,507,092,688,869,618,
710,128,327,794,331,636,855,931,780,676,186,760,132,502,064,042,389,790,787,
143,616,070,744,399,733,627,779,838,459,573,254,500,153,574,439,575,447,701,
385,604,502,048,955,693,047,823,914,831,762,378,210,045,874,677,994,839,326,
309,568,132,444,107,185,299,921,054,947,561,633,091,481,272,982,787,465,242,
964,630,781,804,933,631,528,023,031,925,166,791,354,165,452,089,928,543,677,
436,118,087,969,051,310,575,001,578,700,900,603,459,859,197,671,287,487,816,
029,871,824,987,075,495,878,572,924,412,655,765,849,223,808,070,561,727,253,
716,205,929,474,568,716,110,959,261,883,404,077,372,236,396,012,529,882,147,
234,448,690,785,990,990,420,739,459,160,045,567,598,374,750,482,284,154,133,
862,977,542,545,358,679,267,569,080,760,256,065,143,124,338,979,842,516,519,
462,705,099,649,103,081,735,941,135,237,271,486,064,348,215,070,525,929,035,
841,974,485,110,008,283,184,446,512,449,727,306,062,902,773,628,527,579,685,
486,177,284,539,778,464,156,892,372,925,257,883,770,739,407,012,508,843,235,
221,687,835,039,112,524,969,735,822,156,406,762,409,428,749,821,053,535,706,
052,448,251,488,467,526,080,560,202,368,567,816,486,088,185,113,220,790,939,
173,216,298,884,774,178,618,054,947,619,588,644,763,666,685,146,617,479,551,
479,736,321,578,340,078,841,023,569,502,668,356,679,907,668,620,928,487,884,
467,285,990,913,592,322,837,599,622,348,114,109,858,277,119,021,714,732,687,
317,158,145,151,149,309,269,234,122,909,853,925,543,750,930,270,851,003,234,
814,322,649,893,630,626,753,562,425,908,423,156,449,097,295,801,626,793,452,
148,697,168,274,972,468,876,254,490,618,719,514,653,168,898,897,091,921,700,
215,820,872,290,362,765,010,504,531,053,784,157,862,490,569,454,778,799,796,
816,226,377,865,770,199,298,766,978,046,582,155,069,323,929,095,023,981,690,
653,002,175,287,700,938,570,151,934,520,842,977,201,534,958,748,013,817,577,
441,398,022,078,433,510,025,121,550,965,321,693,473,410,433,235,366,688,107,
394,761,401,352,660,652,758,672,185,555,201,294,105,937,267,052,012,978,494,
785,303,953,849,802,350,947,302,349,341,277,307,703,389,514,960,275,022,716,
385,349,248,983,243,843,592,870,317,708,204,361,620,545,188,717,736,831,484,
384,728,673,714,965,201,653,020,423,472,504,163,808,327,641,261,825,595,352,
254,693,104,011,322,110,179,652,469,518,121,965,300,903,156,853,206,414,214,
517,894,218,978,054,784,046,133,086,931,806,375,692,000,696,559,497,921,290,
682,465,973,600,725,018,654,995,915,521,198,503,150,653,422,616,837,859,572,
051,460,483,700,762,784,343,445,250,708,782,487,521,053,938,717,533,730,077,
816,414,270,075,329,375,890,095,773,309,128,051,936,631,827,398,410,548,138,
649,078,394,819,730,446,767,535,902,780,767,220,031,962,960,863,615,895,647,
102,868,381,468,872,203,301,621,650,103,344,260,294,317,214,115,267,455,183,
450,221,156,557,655,538,961,382,905,872,483,058,322,720,175,067,349,906,181,
099,980,448,279,160,529,553,501,489,710,127,587,699,238,291,976,661,648,566,
363,508,179,898,267,698,492,169,008,293,841,241,515,754,250,709,560,011,174,
247,646,263,829,856,483,177,826,980,402,957,183,063,418,723,298,027,211,355,
833,969,052,124,521,640,876,367,079,372,851,265,768,586,502,044,272,861,025,
899,332,275,678,195,993,135,896,146,316,906,848,043,460,984,506,161,359,644,
709,925,428,441,164,757,147,489,660,616,654,454,172,803,903,668,452,016,428,
638,875,819,482,825,407,077,257,441,747,127,145,666,815,036,853,833,270,340,
817,109,017,597,844,361,841,045,585,147,328,011,222,900,610,739,053,039,448,
913,365,988,424,867,754,007,907,563,439,717,773,257,412,866,519,298,373,141,
901,300,462,857,969,816,992,792,916,264,850,206,924,313,086,307,763,317,065,
487,408,555,133,727,290,323,398,290,861,052,444,428,907,048,573,595,580,075,
907,397,928,898,991,557,986,760,743,379,713,618,599,089,131,708,191,988,221,
994,248,619,834,039,033,449,125,588,184,463,781,893,251,939,600,009,742,439,
649,819,493,616,591,873,420,738,933,795,575,255,143,537,110,352,525,743,238,
018,480,160,919,985,383,884,864,531,023,217,090,778,715,120,927,181,356,798,
576,772,273,109,286,113,249,424,514,760,303,261,193,281,033,837,524,172,998,
505,116,829,078,427,933,805,264,072,909,441,353,615,607,951,975,497,727,946,
057,859,148,134,392,569,526,536,170,664,364,426,877,593,082,721,993,966,636,
089,451,945,834,083,198,489,187,993,883,085,668,649,735,010,627,997,913,984,
706,654,223,366,242,141,970,571,780,185,308,944,194,022,963,066,854,272,086,
554,487,404,253,081,004,423,845,101,227,595,491,207,166,845,817,614,606,037,
052,584,098,092,377,085,616,198,825,896,156,434,451,366,321,075,876,565,819,
738,054,211,612,364,337,162,999,781,357,025,889,110,385,777,561,534,061,687,
206,724,440,294,408,103,496,292,964,222,176,682,384,632,836,063,655,495,405,
094,671,190,702,814,306,359,669,170,865,937,410,612,243,723,434,074,326,455,
076,771,254,030,114,388,985,839,186,009,557,242,859,211,173,352,840,777,252,
031,701,437,217,195,906,339,697,267,772,208,659,505,190,799,754,688,950,764,
978,199,560,182,525,127,198,811,574,529,603,740,606,583,109,740,693,462,441,
501,950,970,671,103,609,928,751,514,406,097,047,319,065,160,110,687,928,641,
205,873,678,766,082,362,210,544,533,881,604,666,016,565,364,393,885,218,982,
222,332,999,100,143,225,606,364,553,739,121,177,422,394,980,435,523,763,539,
236,628,427,473,190,453,361,099,533,245,225,919,107,738,122,935,626,628,665,
394,068,359,235,460,569,135,000,213,767,988,878,110,437,017,898,444,979,606,
844,650,200,687,197,964,484,058,252,114,184,051,417,265,685,522,265,083,332,
183,376,782,016,582,583,544,402,208,601,650,577,087,322,594,402,632,965,488,
113,117,708,712,953,373,418,275,857,550,846,056,500,446,514,403,654,414,318,
909,266,027,231,322,455,974,844,251,410,732,996,853,317,822,846,085,485,056,
494,927,524,454,854,488,721,198,686,439,987,683,614,485,275,818,892,464,537,
295,247,428,601,190,954,660,805,301,430,078,462,465,068,349,059,487,191,208,
167,421,415,548,568,201,677,127,176,409,995,844,490,298,460,796,225,044,697,
056,342,017,110,433,453,325,234,986,653,057,231,661,613,986,129,956,747,108,
252,689,563,639,965,567,532,285,640,285,045,385,573,077,017,046,138,156,090,
592,354,746,609,856,907,620,751,709,889,127,464,672,795,521,896,879,040,659,
320,679,547,191,803,779,529,109,114,238,154,963,600,824,063,832,695,091,241,
773,826,305,997,682,597,184,788,017,511,598,734,484,696,117,087,472,288,409,
444,146,208,631,569,496,852,814,600,948,038,624,147,526,970,898,837,321,256,
647,606,328,676,582,600,444,902,348,803,694,004,911,708,379,041,891,218,145,
275,883,904,930,448,892,525,117,327,995,075,310,375,380,711,519,905,503,694,
165,348,424,094,227,440,919,257,182,546,600,201,096,212,141,938,381,328,099,
789,706,163,834,864,423,217,732,478,218,745,410,507,416,250,392,703,367,171,
558,330,708,575,784,467,445,601,705,363,727,440,071,510,615,122,862,836,015,
145,323,352,779,359,472,215,956,997,515,051,490,996,801,489,212,713,457,325,
078,344,320,169,998,584,984,113,593,154,341,037,551,084,618,055,527,358,252,
479,667,714,088,929,936,947,028,057,410,691,031,838,455,673,345,354,673,025,
879,770,964,896,537,951,827,191,317,740,425,029,806,535,987,635,785,179,564,
245,679,994,914,923,537,048,381,750,824,948,930,809,919,155,701,856,217,311,
267,643,720,227,098,058,985,011,982,419,067,841,071,409,150,359,375,218,709,
063,529,666,464,553,892,645,880,915,163,645,172,146,183,425,335,153,252,593,
645,279,098,520,202,414,035,520,448,223,355,972,632,327,993,865,689,354,408,
353,940,356,562,526,974,119,424,271,980,891,284,550,031,469,855,446,008,497,
758,053,110,150,404,854,363,494,105,768,406,364,170,613,136,381,387,392,775,
536,548,726,027,866,639,505,097,038,621,056,896,430,560,458,461,547,530,904,
763,992,917,249,073,324,211,853,912,615,846,723,840,572,533,447,090,342,550,
158,324,425,571,920,249,855,751,099,322,510,980,611,816,556,713,902,758,801,
565,995,713,397,759,732,882,682,345,933,306,355,678,858,709,623,740,719,960,
179,595,149,171,649,590,569,484,196,294,228,097,175,144,615,875,683,893,579,
152,581,560,500,232,426,312,367,745,871,135,000,460,332,840,723,656,598,973,
378,317,013,554,877,906,881,884,371,529,202,865,375,542,222,641,141,779,624,
358,052,184,647,188,943,514,236,503,204,290,826,314,618,071,186,596,116,568,
272,486,327,772,217,924,934,327,312,383,673,897,745,312,146,819,274,456,496,
020,752,473,456,218,321,877,829,524,616,982,563,360,371,593,107,848,041,478,
139,360,021,538,944,966,102,933,985,106,068,091,390,299,835,502,995,258,941,
641,095,751,947,496,587,989,209,032,189,666,926,464,566,162,882,402,203,478,
059,609,513,609,014,739,941,707,863,618,789,818,906,393,389,506,796,200,463,
677,902,645,557,259,956,601,728,437,312,290,874,289,999,845,224,672,379,396,
848,138,594,271,348,146,642,879,057,402,337,637,816,180,024,940,726,994,147,
008,884,228,924,058,508,186,970,129,979,449,969,454,023,830,891,150,722,504,
933,903,751,243,471,239,571,850,135,648,013,615,093,950,542,045,770,956,586,
299,095,768,982,741,310,670,559,430,109,295,204,786,644,707,741,218,673,216,
218,399,388,397,957,156,421,669,351,739,509,934,564,044,158,599,848,248,160,
459,787,733,221,943,677,437,261,844,385,963,666,637,430,206,822,840,611,689,
522,459,562,944,517,088,727,292,880,420,287,496,160,791,428,461,624,060,308,
821,225,175,249,049,404,221,195,627,334,981,848,018,633,000,159,206,217,562,
031,516,072,839,118,506,660,752,086,855,600,896,883,638,263,248,928,201,781,
378,614,792,043,158,634,497,461,145,122,023,819,387,622,716,368,136,484,017,
677,494,959,432,942,513,729,250,966,860,909,041,275,449,852,641,343,929,210,
676,083,954,039,465,560,365,432,652,876,495,458,747,445,518,921,991,931,006,
027,784,013,756,603,650,249,193,107,339,371,429,740,593,458,941,454,278,208,
527,916,532,644,169,572,284,895,223,145,606,970,915,864,593,316,584,727,482,
455,438,103,420,459,867,624,040,759,665,182,813,599,798,604,357,532,896,205,
370,260,029,259,423,443,480,452,860,476,933,549,073,701,133,357,311,851,603,
944,207,885,735,120,496,653,457,754,593,710,161,732,526,384,285,123,661,578,
725,570,780,418,338,457,072,061,534,462,019,944,527,454,971,280,399,083,525,
043,603,184,249,404,958,789,283,349,899,293,462,154,202,588,450,825,141,914,
070,288,671,630,297,487,095,450,280,179,347,966,931,284,279,371,197,046,347,
950,734,008,316,518,404,055,889,814,340,755,400,891,567,491,143,984,909,177,
391,555,143,008,566,453,083,084,827,390,845,815,234,824,677,162,917,194,802,
221,657,770,400,732,535,378,450,389,465,920,207,254,941,421,104,822,099,398,
794,790,924,069,018,589,438,063,936,047,434,175,989,402,229,567,660,417,909,
582,997,946,699,681,595,521,029,420,793,706,681,128,183,284,484,709,909,103,
295,935,709,190,462,217,587,840,931,584,589,130,156,747,651,276,082,990,925,
622,764,451,069,555,481,938,837,206,597,631,438,050,908,667,734,220,091,108,
511,406,451,309,046,654,513,356,208,963,293,126,051,535,070,136,809,511,766,
316,195,755,090,404,072,695,144,048,168,362,007,331,594,502,915,436,778,586,
010,040,331,283,702,094,697,417,725,954,840,979,791,474,044,329,066,009,975,
022,913,473,882,771,037,281,815,802,757,784,421,935,949,292,493,950,953,758,
132,199,325,877,059,721,078,878,083,054,095,642,541,693,031,995,984,069,146,
161,389,993,515,033,292,020,742,275,810,724,908,606,457,547,919,440,858,425,
629,744,050,064,327,984,865,042,022,771,639,907,788,890,608,277,135,238,056,
484,743,479,052,167,418,649,362,616,388,746,674,342,669,590,339,371,523,604,
020,950,021,417,677,078,629,324,240,046,796,616,006,789,406,800,088,745,662,
784,967,127,657,278,614,086,867,950,227,039,309,090,825,787,940,124,792,991,
308,894,507,698,359,766,465,396,565,602,125,964,046,424,721,101,240,409,584,
777,596,250,798,263,575,625,947,647,874,956,248,504,086,501,029,183,575,771,
206,336,794,419,118,141,166,467,677,138,297,636,707,486,417,638,228,107,964,
402,898,450,526,520,087,192,786,016,410,282,668,080,433,364,777,857,456,995,
207,985,176,423,111,370,450,389,340,991,184,192,320,097,547,451,066,611,487,
406,372,451,200,929,923,521,060,549,642,194,590,524,389,489,710,098,546,764,
546,922,649,683,164,411,525,378,905,741,758,743,455,595,869,826,179,832,830,
439,115,009,069,326,926,037,180,061,133,845,673,926,210,849,738,064,567,288,
314,956,161,259,463,325,613,897,623,122,015,054,653,401,748,950,891,479,185,
700,695,811,409,352,106,248,135,291,849,126,494,966,577,119,191,521,591,809,
914,547,565,357,334,148,372,687,882,174,414,678,438,634,539,341,968,462,898,
486,620,577,119,715,451,051,822,399,580,987,656,045,608,855,161,790,184,467,
606,696,664,750,717,896,274,452,528,735,015,914,349,341,065,783,196,342,492,
861,160,100,097,482,255,286,945,261,581,998,663,037,547,992,955,377,538,658,
936,883,150,302,367,229,666,369,680,863,393,473,046,417,558,110,882,522,464,
286,805,288,603,479,442,886,930,965,545,294,191,659,781,203,397,172,495,866,
398,761,075,594,765,009,340,899,733,748,375,318,218,814,244,216,182,451,939,
817,745,513,042,743,162,391,008,700,034,468,913,689,164,771,836,180,699,693,
253,507,473,050,398,798,110,041,121,889,319,132,563,834,843,529,649,926,806,
296,685,485,098,206,171,357,946,723,417,551,147,823,726,184,872,560,646,907,
569,445,398,774,518,289,150,493,549,523,330,427,349,292,129,573,349,616,824,
575,204,040,401,504,561,428,460,998,072,664,019,667,267,330,322,498,062,171,
331,324,086,860,625,710,075,431,578,935,745,204,960,754,281,151,787,550,412,
270,416,237,450,766,091,347,803,934,903,946,828,523,097,326,902,938,088,668,
671,407,012,385,257,168,388,634,873,721,146,750,781,140,648,744,169,282,564,
240,224,707,048,113,367,905,185,970,786,939,000,271,119,760,237,905,176,589,
861,093,823,357,404,504,139,402,664,352,191,996,004,204,483,629,645,631,508,
352,133,716,298,387,848,508,998,105,552,774,623,594,790,549,642,376,012,913,
551,627,924,037,072,472,493,077,761,264,550,582,532,709,979,703,002,882,754,
401,763,903,860,520,800,810,553,003,954,514,960,905,173,878,164,632,789,369,
830,012,467,220,315,036,772,624,398,710,084,899,344,190,488,030,097,484,321,
258,869,723,266,119,010,100,919,033,980,853,960,477,176,879,844,510,859,797,
057,696,713,456,760,183,178,894,565,428,954,689,312,574,877,905,480,381,254,
966,600,764,342,690,231,432,666,380,369,722,691,064,738,696,428,213,276,629,
819,780,348,107,430,567,642,477,665,773,475,839,469,685,055,313,751,525,738,
729,558,678,787,247,109,761,203,050,364,538,646,764,034,529,941,417,434,832,
447,761,142,508,816,660,298,538,424,584,088,412,176,110,376,996,350,674,030,
352,084,576,233,842,152,925,382,642,203,408,411,250,625,294,791,280,688,531,
160,353,767,009,174,280,042,563,263,343,276,644,619,680,251,189,184,693,700,
138,797,134,697,248,491,791,759,582,009,690,501,715,231,207,563,304,144,682,
764,825,568,243,146,817,222,462,232,757,889,615,878,916,753,905,606,902,442,
074,832,153,742,543,452,693,381,506,938,481,389,120,216,791,747,308,797,206,
316,747,961,634,605,796,796,594,550,984,438,184,626,961,325,965,854,122,706,
367,515,174,369,212,397,052,072,582,742,636,330,511,706,314,770,430,397,456,
689,464,933,145,153,555,806,424,879,051,806,826,101,672,250,826,557,675,716,
175,328,596,085,143,848,263,479,244,234,248,104,518,293,260,570,223,715,073,
122,489,633,841,804,899,244,791,473,790,870,524,408,949,416,360,267,264,682,
492,453,487,787,766,254,493,230,734,410,127,575,737,736,557,486,680,665,603,
423,763,040,069,243,237,553,550,611,353,203,609,072,953,446,855,634,313,490,
736,552,705,424,713,622,898,640,240,029,250,404,157,989,370,003,719,372,163,
117,957,914,150,604,932,712,809,539,266,841,716,916,570,069,813,665,679,130,
537,410,756,791,252,074,593,423,455,631,623,402,346,034,326,726,536,525,339,
519,658,533,130,651,090,811,006,187,439,521,560,197,663,079,852,751,539,020,
949,904,377,353,882,098,702,559,884,005,434,897,104,140,037,047,091,716,494,
970,426,358,533,695,395,840,936,341,996,040,125,838,666,344,560,269,419,965,
328,579,308,159,184,470,031,709,568,426,067,173,334,259,860,701,990,307,016,
083,791,669,825,108,252,082,653,611,059,136,288,108,911,487,798,187,551,027,
334,553,623,375,754,697,486,425,623,951,593,148,165,073,299,974,451,893,066,
223,504,337,218,308,501,282,143,003,795,322,157,805,769,827,443,954,639,860,
722,592,318,455,553,759,989,458,291,298,751,918,944,154,685,304,355,293,615,
808,041,927,317,090,932,001,792,535,019,397,757,264,618,702,104,192,181,209,
695,638,101,616,165,319,113,734,242,014,658,486,108,853,583,396,164,124,072,
296,829,933,214,011,342,641,516,113,476,853,746,521,152,243,791,310,264,104,
236,056,737,377,917,067,437,081,423,284,479,055,567,048,892,202,606,411,709,
297,219,389,998,050,110,613,744,369,767,840,391,934,205,852,641,412,803,544,
131,685,448,906,150,904,796,930,687,372,246,386,158,555,247,414,649,625,445,
732,985,480,642,148,511,668,789,665,116,541,567,949,090,313,876,232,908,059,
703,970,011,658,217,227,341,568,224,694,737,055,779,548,420,491,634,928,005,
481,697,899,067,376,691,521,600,434,622,022,994,532,348,064,560,123,391,439,
309,394,868,262,448,694,282,583,494,276,001,558,481,153,212,437,541,552,289,
665,212,108,254,526,915,965,076,484,526,679,988,383,929,414,149,698,138,214,
743,475,351,875,542,134,692,874,699,005,735,252,440,853,617,895,528,843,071,
418,863,939,221,418,083,480,907,487,480,272,759,894,521,915,905,534,596,797,
203,711,331,240,573,883,255,932,955,756,139,519,842,315,074,181,278,449,374,
367,793,999,178,369,277,751,514,423,839,083,593,864,348,066,866,988,995,622,
201,733,736,148,290,886,113,472,881,846,810,108,795,237,326,348,729,025,121,
922,046,520,019,201,926,922,541,391,836,929,217,030,609,539,978,029,643,185,
705,219,267,709,084,215,212,167,946,168,254,589,069,065,018,310,943,531,238,
458,631,272,340,007,755,217,708,906,921,971,703,406,565,470,651,301,463,610,
941,153,558,216,351,946,526,794,762,876,063,217,356,305,385,167,514,915,454,
251,731,275,038,491,469,549,778,265,397,787,365,805,253,597,570,052,947,169,
139,796,654,100,243,129,790,380,440,443,880,159,302,576,395,953,908,227,123,
560,086,384,802,003,210,036,297,504,533,366,561,161,162,941,899,908,893,042,
578,423,463,575,937,867,994,366,595,148,119,496,402,488,391,312,091,563,892,
928,746,717,818,964,974,466,318,710,322,814,497,567,368,543,122,625,465,078,
526,748,928,604,904,152,948,218,488,328,119,837,857,083,915,380,561,133,454,
807,984,845,245,066,201,772,727,754,055,942,166,356,762,106,805,971,450,085,
122,299,236,311,865,936,374,095,290,904,755,532,280,524,507,486,710,445,246,
740,312,684,001,855,306,349,493,170,419,046,178,331,762,195,415,862,837,848,
348,001,582,657,812,867,006,469,824,389,516,768,962,582,906,360,739,695,514,
174,728,569,462,371,243,605,936,449,833,529,868,054,266,779,325,892,685,033,
873,976,815,226,021,505,224,406,515,972,908,747,196,348,185,687,345,220,075,
683,032,781,439,404,872,075,857,998,748,083,555,341,808,059,209,693,238,733,
195,835,540,698,694,855,606,733,492,458,151,112,580,531,099,767,148,658,301,
930,086,703,633,084,498,283,844,296,085,689,761,303,188,316,930,413,797,862,
437,261,280,186,986,743,796,177,064,684,673,524,220,871,993,271,120,668,673,
954,088,393,948,821,008,280,642,890,584,610,396,532,129,753,075,592,971,993,
824,304,383,042,258,427,296,404,058,289,565,194,746,555,786,833,728,464,945,
463,182,308,866,189,093,847,833,037,900,205,370,871,186,450,327,897,997,424,
648,814,359,557,238,277,670,608,377,282,217,637,581,803,481,442,693,959,626,
186,392,224,623,688,936,589,436,755,895,534,058,591,430,428,490,685,818,663,
167,462,357,889,947,596,869,840,816,961,482,916,886,169,599,410,514,686,751,
794,483,485,637,343,249,168,686,874,735,814,332,518,045,086,888,128,299,052,
350,861,939,867,753,705,155,529,465,823,682,944,404,569,639,850,927,773,341,
648,978,852,683,276,165,523,196,384,235,791,935,704,077,651,123,268,961,503,
745,204,997,692,885,110,999,239,095,174,638,262,339,483,194,502,166,681,003,
592,306,306,736,165,470,139,386,428,153,140,275,130,556,592,367,296,386,395,
397,466,742,010,255,053,366,944,432,944,764,652,153,190,233,886,130,135,559,
949,934,880,749,156,238,171,529,584,051,983,802,875,337,003,401,565,705,901,
382,947,534,926,649,518,614,556,151,593,646,379,549,209,712,588,278,052,227,
344,344,758,059,560,609,317,009,908,160,366,377,117,546,427,784,039,042,215,
363,008,933,425,467,169,516,650,922,913,590,548,347,306,881,119,385,525,132,
407,396,123,082,240,394,789,915,344,585,548,686,169,938,614,090,511,237,705,
096,667,282,894,537,899,594,413,135,248,023,010,339,210,460,583,766,850,396,
023,953,482,081,417,698,226,350,592,829,166,534,605,185,717,371,781,030,560,
963,288,964,497,844,754,542,050,229,964,449,127,024,660,192,664,573,604,915,
081,746,134,391,247,121,912,060,440,901,403,192,303,945,054,916,543,266,652,
268,219,190,004,329,167,677,102,078,836,031,413,012,163,034,753,799,858,925,
731,785,925,159,400,689,212,780,923,547,109,733,805,947,029,052,527,975,656,
001,702,005,034,659,717,425,537,647,628,689,872,412,523,254,636,660,619,504,
029,079,496,486,549,221,654,033,907,816,841,099,613,812,729,896,142,413,245,
245,603,312,011,379,619,342,736,695,380,303,872,086,208,686,521,487,778,253,
699,171,084,225,492,794,818,519,518,425,235,972,716,633,455,246,171,959,165,
645,247,739,327,019,014,306,673,390,498,771,172,896,332,198,768,901,952,783,
985,466,619,172,227,908,328,743,349,425,028,834,794,867,400,118,654,419,107,
770,904,397,911,885,005,559,494,570,725,232,002,472,082,588,157,114,240,467,
575,563,056,133,150,794,337,136,755,173,108,573,110,079,204,311,749,364,688,
794,911,730,937,858,230,476,917,704,946,619,197,576,303,526,647,103,971,609,
561,263,074,593,410,792,187,223,632,720,038,234,793,207,721,477,013,154,204,
885,557,263,023,749,732,070,808,321,249,312,244,315,525,957,990,648,866,748,
207,780,642,078,537,797,515,920,450,078,038,969,691,143,329,704,466,595,394,
961,092,604,187,627,181,584,363,519,243,696,982,148,263,959,193,253,232,502,
367,358,336,913,005,800,327,494,728,768,185,525,873,452,557,068,690,409,900,
823,526,818,924,727,836,561,238,589,606,682,390,617,599,404,158,661,533,567,
864,488,549,198,988,328,794,311,114,087,246,762,853,702,463,736,635,939,338,
116,991,665,300,729,467,184,425,590,792,599,418,240,763,072,276,624,830,638,
195,559,997,336,002,618,438,382,207,781,056,815,876,212,419,230,880,851,477,
981,454,447,899,029,218,912,582,031,538,184,368,240,186,650,684,801,291,196,
302,170,847,046,671,029,623,077,625,819,977,133,577,614,170,484,560,563,476,
868,899,354,044,656,454,339,253,771,274,790,280,604,989,232,105,576,584,516,
465,885,206,824,002,576,169,637,968,689,730,349,132,131,484,847,609,787,293,
468,177,961,900,592,609,924,715,185,325,926,268,868,720,535,677,691,298,243,
787,761,137,820,673,557,198,420,376,533,141,615,756,686,920,859,962,063,153,
221,838,312,775,235,763,006,409,116,292,277,799,670,790,801,612,647,591,009,
156,201,777,690,813,001,443,595,490,350,731,899,848,246,316,721,718,819,043,
026,899,087,790,056,820,973,711,992,856,457,763,983,151,449,026,633,443,080,
947,011,490,995,570,041,847,446,172,054,368,964,740,712,235,014,155,286,510,
449,513,217,121,182,383,945,249,305,611,113,235,294,057,397,177,660,442,031,
938,741,712,445,298,589,854,860,019,848,395,332,009,976,092,152,900,283,039,
072,497,881,725,373,861,908,837,620,523,181,475,178,929,919,808,608,980,798,
669,272,955,896,868,185,922,660,313,080,910,833,556,103,491,161,538,976,712,
726,456,944,138,654,843,111,302,741,138,569,461,137,153,951,857,493,001,766,
544,594,666,040,368,538,888,746,793,839,287,267,517,099,702,169,101,256,597,
905,109,596,247,075,600,600,785,733,156,060,814,103,963,537,470,056,116,419,
806,892,908,291,422,679,528,970,394,615,926,539,558,235,917,907,373,174,470,
634,288,969,132,133,359,237,577,662,369,079,875,110,749,553,483,198,055,359,
163,493,128,859,279,469,154,559,370,842,658,529,770,663,899,783,430,913,304,
466,233,595,787,865,935,078,969,788,624,255,677,759,959,851,659,974,312,935,
653,970,010,071,396,884,017,360,660,572,437,758,706,157,827,694,156,407,352,
926,219,840,547,319,953,487,160,003,147,188,516,608,457,151,624,309,765,723,
681,081,197,807,725,878,066,135,077,012,125,882,958,793,818,115,854,339,165,
436,744,767,929,639,668,043,418,558,301,819,488,903,434,387,039,326,925,701,
528,788,511,809,275,911,812,812,461,681,398,900,745,005,734,102,936,078,173,
375,555,283,769,490,351,368,245,124,716,905,353,569,642,913,077,490,020,178,
108,388,370,470,675,505,251,621,737,785,430,186,228,235,996,562,955,186,545,
415,658,499,201,824,151,388,008,487,924,070,412,488,056,635,264,218,868,750,
493,414,983,129,255,154,354,553,532,087,795,530,294,461,768,570,621,771,236,
955,714,650,726,462,748,136,344,957,195,511,542,857,866,750,773,022,416,369,
780,096,065,650,107,851,756,151,283,767,775,218,862,074,937,865,969,138,088,
792,259,811,911,114,875,645,830,256,762,782,825,117,211,638,005,530,210,537,
255,496,576,424,014,839,250,354,715,464,139,954,044,345,081,891,353,715,735,
690,586,585,581,280,535,811,650,662,105,051,109,915,428,242,138,501,080,012,
140,807,445,381,950,317,588,355,564,150,342,793,261,690,916,610,699,217,081,
701,834,980,565,923,219,538,785,717,316,758,949,480,323,374,039,600,602,165,
477,651,996,369,785,352,418,841,071,839,504,081,061,378,864,600,964,218,745,
145,434,375,631,777,630,071,249,834,374,048,179,831,967,118,592,374,614,405,
405,752,846,326,729,179,811,906,287,131,199,222,176,761,837,010,504,881,769,
421,098,158,064,754,508,062,764,092,074,802,736,151,961,577,206,527,962,387,
689,944,135,269,547,097,649,380,726,716,473,610,582,064,523,343,845,377,833,
005,912,422,584,273,259,682,093,113,966,326,299,684,226,784,822,669,195,980,
320,842,767,232,442,487,507,627,637,710,823,641,041,361,364,383,648,783,421,
451,782,929,911,887,258,519,453,586,283,848,470,483,528,660,158,669,959,110,
112,156,117,499,237,518,933,967,419,742,387,388,993,547,397,821,936,576,991,
992,168,596,978,569,290,305,426,050,501,326,603,158,262,389,646,028,584,647,
757,663,929,656,961,060,408,679,831,960,343,909,080,385,585,306,353,514,924,
887,187,972,222,892,132,236,018,737,888,247,288,096,933,849,038,977,975,063,
915,408,057,366,561,069,194,218,007,941,694,583,192,798,720,607,736,531,214,
612,153,974,342,040,757,261,617,108,827,533,099,629,670,481,825,186,304,054,
792,776,615,411,465,406,870,735,581,490,688,657,183,534,419,525,553,624,218,
472,152,421,928,132,136,950,834,295,931,900,043,799,400,714,210,653,941,162,
978,055,816,496,878,342,986,432,620,560,017,701,982,525,588,507,388,523,837,
719,556,610,846,025,281,944,168,789,842,321,953,614,623,594,402,435,283,942,
349,315,332,274,754,535,989,176,695,358,640,648,581,110,868,002,053,766,115,
413,482,797,445,772,211,468,858,213,461,881,243,994,843,056,452,823,567,686,
998,389,349,750,328,988,242,564,901,744,464,624,474,122,100,267,724,938,912,
907,373,196,458,067,827,460,733,904,323,515,267,754,768,279,746,263,386,664,
474,687,505,723,914,104,708,472,736,463,961,362,448,781,640,782,433,944,658,
605,302,036,762,379,227,981,348,034,952,390,509,375,203,154,513,514,843,065,
163,634,722,533,471,928,427,678,936,743,639,815,918,644,011,275,446,517,386,
629,727,563,496,263,633,527,770,005,484,449,712,980,003,815,345,884,965,886,
702,916,764,291,788,105,678,493,998,392,338,627,736,501,352,158,243,123,235,
811,711,844,343,932,384,258,101,237,035,262,271,308,857,615,526,589,035,959,
360,171,529,902,799,588,019,252,066,669,953,766,826,857,603,267,490,734,527,
863,088,544,165,647,272,052,752,505,018,624,547,408,434,506,956,210,698,749,
381,551,403,210,786,294,625,174,802,427,946,864,985,980,866,181,744,435,237,
300,159,574,195,855,814,364,603,167,732,305,301,804,263,618,849,264,641,951,
911,595,499,222,910,275,612,745,351,113,820,112,290,437,065,137,737,155,937,
824,557,807,175,620,266,501,337,607,813,181,198,448,891,134,498,818,765,253,
176,993,604,234,981,526,025,624,869,343,020,504,586,329,561,714,056,212,212,
908,249,605,128,221,589,066,133,452,893,331,324,735,507,246,200,589,232,520,
875,743,123,692,606,738,636,883,005,113,047,836,064,621,998,930,867,438,583,
304,347,343,747,580,087,915,677,066,640,064,788,112,851,974,604,063,352,795,
826,153,270,621,662,063,906,563,228,744,483,241,444,169,055,823,445,056,500,
978,761,103,388,041,434,498,002,580,359,242,657,104,490,787,237,798,488,474,
287,939,097,564,489,807,402,475,957,669,729,780,809,627,086,763,976,002,959,
849,244,977,306,922,905,306,499,990,635,928,381,136,149,604,787,941,057,504,
409,391,477,247,457,415,522,201,094,540,210,461,159,893,254,039,472,253,726,
528,797,348,610,199,912,603,225,757,742,898,855,930,387,589,240,892,221,809,
792,239,868,230,006,608,835,221,007,801,302,351,870,557,615,169,272,402,222,
639,345,799,626,143,950,338,650,248,752,180,604,668,049,993,398,836,034,280,
198,965,868,217,607,408,741,767,956,466,894,967,917,827,614,258,510,249,083,
223,582,305,490,121,466,812,631,700,422,081,855,907,922,492,882,490,710,121,
103,569,332,310,340,474,985,921,563,817,817,500,177,171,789,573,850,695,400,
268,119,366,156,555,601,132,768,305,321,891,972,748,513,386,494,789,388,175,
832,280,152,068,088,782,247,988,526,927,631,637,330,628,154,402,896,990,955,
091,542,753,842,782,154,832,777,665,842,424,657,769,873,334,995,649,497,727,
144,070,627,810,140,923,463,386,083,463,630,875,470,639,023,888,471,033,871,
484,992,106,837,177,585,593,242,871,839,559,809,916,038,927,444,465,553,597,
795,608,490,343,566,513,677,276,935,817,011,676,669,410,697,889,419,056,808,
439,905,665,813,815,808,009,014,817,966,100,733,544,400,514,847,378,907,018,
555,065,466,969,234,981,068,718,940,506,138,391,707,535,189,105,744,735,538,
170,970,222,149,391,697,455,618,047,892,219,902,097,688,214,341,358,243,437,
612,867,742,099,442,754,181,422,065,396,152,822,336,805,615,277,097,087,427,
741,344,769,091,547,957,998,629,373,358,434,157,903,845,043,052,668,429,781,
506,048,812,977,392,154,358,623,403,322,727,046,838,538,383,262,143,105,343,
968,022,979,107,581,311,010,267,197,392,466,089,103,454,243,813,679,377,587,
422,872,927,098,338,313,061,743,002,041,360,723,634,065,117,348,893,159,514,
716,463,623,311,522,247,496,351,212,797,981,226,473,137,764,961,448,408,377,
671,812,170,885,818,479,824,328,866,340,039,168,265,133,942,794,434,784,746,
204,191,323,965,830,437,191,759,562,536,733,715,049,825,529,771,476,991,996,
405,334,141,651,363,303,940,760,967,233,246,764,555,933,542,008,638,064,937,
246,046,390,816,276,623,383,933,049,634,453,060,192,236,862,840,571,715,973,
656,795,946,055,890,408,913,113,272,664,998,620,043,698,548,691,409,797,396,
950,266,428,825,835,146,660,093,768,791,450,961,584,600,094,185,786,431,088,
154,106,556,470,435,989,503,061,629,160,475,877,442,615,047,666,238,561,235,
854,694,564,705,826,605,458,480,935,173,514,805,417,802,645,096,003,866,950,
626,129,679,801,534,098,884,039,253,962,084,752,639,169,739,855,166,933,379,
068,650,324,632,897,656,923,670,265,759,299,038,112,653,510,916,174,877,964,
023,865,203,241,626,399,726,988,051,075,559,999,811,039,855,212,558,623,817,
515,611,133,422,573,191,241,841,169,029,492,315,087,996,485,585,390,274,250,
201,615,090,297,841,992,686,413,339,572,394,381,764,671,122,998,380,666,462,
264,044,298,024,454,318,353,811,203,258,344,906,467,520,072,706,709,199,399,
970,562,696,529,983,465,884,035,799,166,661,958,999,828,875,099,792,318,610,
679,267,344,328,227,894,520,663,580,774,142,854,039,651,725,621,865,625,175,
060,839,911,647,455,969,417,521,074,512,043,436,920,900,976,773,029,587,931,
342,691,711,029,794,442,826,818,747,044,087,251,099,412,581,716,281,769,431,
071,312,076,096,696,928,290,273,046,412,058,607,940,151,440,857,364,341,402,
449,138,012,137,360,153,166,141,414,163,678,437,255,242,299,903,534,278,170,
642,748,492,845,239,805,838,479,261,988,281,786,541,910,680,185,253,962,854,
842,462,879,414,044,258,217,010,147,979,250,804,650,624,968,892,644,011,093,
597,423,621,553,428,486,454,957,806,507,215,146,618,094,851,366,660,845,425,
928,409,190,142,382,381,704,106,016,192,826,041,701,501,862,448,608,524,959,
221,470,866,502,896,629,541,077,704,360,825,307,180,154,693,441,686,800,870,
196,910,477,346,324,350,788,701,756,133,185,227,180,938,910,564,578,576,328,
900,833,237,058,679,622,168,066,743,718,833,955,909,248,219,798,379,739,456,
891,966,480,305,430,967,915,083,497,122,196,466,670,961,599,410,818,476,494,
131,536,622,322,497,861,419,827,747,422,576,338,243,365,477,063,816,400,553,
590,197,424,341,979,341,950,958,336,662,733,958,182,982,280,222,319,676,362,
582,106,105,037,231,348,792,427,877,053,728,655,499,881,803,103,801,904,782,
436,844,093,590,744,816,980,665,625,714,177,311,334,594,605,543,582,261,525,
704,197,439,234,336,638,361,779,141,158,925,726,370,386,562,262,360,126,680,
281,174,110,576,254,128,703,907,628,874,054,695,590,197,360,591,738,414,248,
425,150,632,696,429,174,967,428,175,546,055,455,536,444,658,593,135,549,481,
085,301,747,247,702,763,539,309,762,110,502,932,711,894,888,940,953,784,245,
194,484,112,724,527,457,547,081,539,681,897,863,437,888,200,489,226,866,490,
205,895,780,989,694,780,246,020,476,427,033,205,666,639,899,748,028,184,116,
644,978,245,532,861,545,840,610,511,372,626,509,615,264,120,971,513,168,098,
602,928,596,773,285,769,764,692,178,173,229,829,327,927,338,483,308,731,516,
816,735,571,696,918,719,154,503,362,754,169,971,245,700,537,975,638,940,656,
356,906,641,996,607,990,737,454,168,628,688,676,533,069,539,079,848,583,335,
746,155,833,004,652,142,285,737,365,092,992,980,090,155,982,688,354,267,522,
459,810,281,488,306,746,686,886,072,514,503,773,533,939,305,105,729,465,263,
429,449,963,133,299,282,998,118,650,636,651,428,582,708,070,135,867,180,768,
556,273,443,828,040,888,249,382,833,617,322,642,760,674,568,962,975,120,568,
327,578,219,392,211,293,889,463,742,403,539,140,121,446,657,488,253,682,995,
102,463,225,618,604,323,703,003,555,376,162,586,749,225,112,766,806,005,453,
205,430,896,039,742,018,910,690,861,263,777,455,925,223,966,573,776,679,633,
036,340,846,180,753,315,214,755,804,476,895,905,316,575,002,508,858,291,939,
929,354,022,591,371,527,672,280,162,423,635,359,713,034,137,005,592,032,234,
650,628,850,572,005,045,068,484,033,538,635,012,164,019,197,068,936,429,105,
058,803,221,105,929,969,819,425,279,857,777,104,692,212,420,433,708,211,221,
345,526,372,248,324,599,131,637,030,151,599,033,776,405,760,902,498,981,883,
063,297,397,534,835,620,300,646,805,673,298,346,880,240,493,990,960,127,401,
600,653,751,373,615,336,021,877,077,243,471,764,896,393,026,448,656,591,090,
623,008,239,080,801,301,160,079,645,418,195,777,735,408,717,897,857,628,843,
950,527,247,148,729,004,101,518,219,129,293,395,531,109,360,266,074,470,701,
349,852,363,914,716,373,032,517,903,685,950,681,688,235,870,978,071,851,362,
749,225,786,491,669,911,194,570,919,050,592,207,215,305,580,848,484,640,903,
373,233,938,957,889,914,082,706,730,268,676,841,681,395,946,930,962,462,138,
191,952,102,311,433,976,499,979,898,340,431,217,677,542,101,328,746,120,950,
292,353,121,265,817,472,109,864,331,425,659,132,793,126,794,465,249,038,226,
748,595,212,429,160,040,437,631,535,752,843,500,363,549,953,422,373,310,815,
637,741,954,930,698,560,425,025,793,328,846,279,359,898,673,371,350,207,943,
620,039,706,332,781,162,341,351,009,680,651,303,427,770,455,722,776,492,836,
665,370,431,946,004,140,611,058,799,026,675,644,942,234,805,879,641,781,108,
162,539,075,002,203,011,515,366,336,163,173,998,968,022,197,196,959,428,567,
787,741,532,348,178,664,701,726,650,465,948,536,164,224,426,739,437,775,888,
857,157,220,233,360,665,088,928,394,092,713,529,597,087,725,410,218,710,317,
362,720,077,536,175,106,287,557,179,121,027,532,229,420,515,760,856,798,137,
406,146,719,530,663,974,738,872,929,312,049,643,494,390,650,229,887,124,825,
879,804,329,872,960,786,585,831,201,975,191,924,020,484,653,672,679,895,465,
474,997,770,987,616,333,217,941,010,340,486,939,233,474,486,384,127,794,157,
787,073,435,406,621,097,653,757,569,164,104,663,061,736,585,449,470,524,859,
044,386,163,416,318,139,016,331,101,320,581,677,588,794,746,889,720,574,831,
219,020,085,875,413,924,944,958,183,322,115,476,778,260,909,470,580,784,031,
810,545,008,277,750,343,441,258,551,985,087,596,133,925,291,049,170,364,033,
793,426,742,316,968,921,872,514,980,445,379,138,414,706,564,570,398,797,081,
048,034,861,990,186,307,022,293,001,640,681,628,229,785,456,267,039,544,028,
350,223,176,087,922,643,384,046,062,497,083,837,319,003,370,521,892,821,769,
818,248,877,688,922,562,978,882,087,626,217,032,470,459,597,166,562,121,705,
721,590,254,230,547,183,900,013,595,830,781,933,234,172,565,646,065,047,292,
808,305,746,046,640,454,507,325,403,197,559,149,084,340,606,258,952,516,835,
097,412,291,466,018,236,683,084,593,337,761,431,454,955,399,562,472,922,986,
296,697,270,998,182,111,021,789,991,948,478,127,056,855,472,404,219,707,670,
299,155,202,948,386,884,155,102,089,710,484,419,197,039,722,176,555,971,210,
717,923,179,815,793,581,920,657,119,333,594,294,603,135,402,164,814,531,895,
114,945,670,871,186,734,127,774,351,421,095,189,867,682,044,636,652,297,400,
288,546,585,312,296,440,414,692,607,933,362,376,731,412,091,737,941,148,148,
176,232,147,481,080,559,179,974,007,089,375,918,829,789,912,212,976,330,257,
955,662,065,882,642,031,791,596,783,455,588,554,042,039,785,188,102,759,796,
693,941,093,927,870,554,044,850,938,291,505,101,774,076,942,235,182,982,300,
015,731,324,580,513,898,776,239,243,101,793,736,789,637,080,220,379,401,773,
872,200,494,410,129,231,873,209,148,524,735,675,400,612,140,949,701,416,227,
054,712,412,916,780,039,960,515,232,152,841,318,498,201,318,275,060,935,100,
357,196,404,113,415,062,955,722,932,052,933,607,588,151,476,401,900,241,936,
600,162,943,145,553,749,337,137,667,123,177,900,656,278,021,943,609,581,400,
837,474,966,531,329,057,765,714,620,971,150,476,418,019,180,538,591,661,087,
178,654,840,437,738,461,129,609,847,874,461,090,767,462,824,200,077,537,396,
481,988,989,329,539,525,145,511,012,369,744,348,798,851,329,859,198,871,723,
700,434,603,874,101,478,351,482,907,510,007,132,449,974,076,635,753,930,758,
580,269,909,128,208,187,182,060,961,373,315,411,738,962,439,821,158,738,097,
633,442,339,822,856,032,388,846,209,707,039,332,523,754,805,511,604,519,052,
407,023,847,623,514,579,092,122,807,270,096,349,703,899,931,926,864,198,199,
992,459,186,644,622,068,481,814,300,995,176,219,104,543,854,164,278,563,994,
180,483,227,398,637,795,385,243,123,470,091,075,826,261,875,023,164,052,284,
908,526,424,539,183,336,549,860,101,381,435,962,073,888,465,869,298,165,869,
325,300,207,097,113,981,139,953,621,375,573,187,410,306,114,245,154,667,631,
166,495,249,976,741,380,089,436,595,238,382,316,150,060,384,450,718,426,028,
402,937,358,153,438,589,164,796,532,943,103,292,924,127,065,578,466,929,339,
892,638,852,833,442,540,297,185,699,292,320,581,617,839,181,635,348,504,419,
584,297,720,811,949,857,457,711,765,206,625,801,383,462,992,576,202,233,631,
896,750,760,371,404,415,492,750,289,926,511,237,141,642,946,892,527,352,898,
984,199,124,097,687,295,184,963,327,879,380,741,094,589,167,104,304,528,964,
881,984,912,842,454,866,589,197,405,789,824,798,756,681,980,691,926,173,738,
773,166,681,263,429,325,806,970,650,672,035,183,409,130,017,952,049,347,065,
022,483,110,503,090,255,920,829,777,368,747,165,825,354,443,491,730,177,148,
500,505,893,303,754,007,473,675,811,106,417,981,572,436,022,682,540,910,181,
493,469,970,842,322,269,721,633,053,277,948,120,772,116,071,638,318,872,202,
339,042,722,106,175,703,709,085,882,372,226,523,782,942,117,934,248,348,801,
652,017,653,894,349,929,044,863,268,921,858,539,394,493,280,749,542,634,881,
695,263,268,232,495,299,814,901,207,526,154,337,050,895,508,210,038,858,936,
718,417,274,986,643,502,644,269,760,546,758,330,915,605,332,514,940,180,098,
347,980,944,706,983,328,953,829,243,861,253,435,614,172,083,274,527,267,628,
728,205,154,994,982,276,225,031,352,620,294,169,839,785,042,015,405,495,685,
290,740,013,952,264,078,349,604,222,191,614,368,904,671,938,962,098,944,431,
126,096,974,107,480,027,879,004,977,405,518,006,240,570,483,119,931,204,142,
323,944,203,974,642,189,147,640,582,157,607,272,832,129,763,927,502,941,497,
253,842,128,989,045,393,630,306,839,969,443,606,585,993,043,221,074,485,893,
105,733,501,139,939,682,940,934,330,683,181,866,794,548,805,696,598,921,898,
948,823,190,594,196,800,303,993,386,738,251,010,637,859,156,061,633,552,367,
189,687,284,417,851,342,394,699,175,312,549,773,720,166,300,375,953,170,275,
911,421,559,894,435,612,182,905,983,250,317,628,686,460,666,144,684,194,331,
642,457,515,451,178,969,147,323,243,153,341,008,462,296,730,791,804,587,083,
865,850,918,174,625,495,360,388,241,917,047,282,770,015,659,947,310,620,825,
980,110,828,175,883,275,267,006,764,453,230,349,125,774,754,534,542,085,149,
444,141,319,880,806,722,115,854,001,611,817,264,392,765,332,575,212,762,443,
245,998,698,006,778,626,767,142,730,012,719,470,494,168,896,562,899,413,560,
393,847,103,373,816,362,087,659,153,457,898,769,284,256,019,408,571,652,151,
172,659,320,782,835,411,847,162,189,501,817,214,320,757,544,614,420,568,186,
177,885,675,581,491,327,859,427,082,764,640,265,849,693,941,035,283,096,979,
745,726,100,814,490,343,878,962,389,228,624,462,524,767,727,992,861,121,141,
841,946,306,144,320,997,284,825,646,267,230,752,859,163,656,170,267,590,593,
520,965,425,997,324,804,562,073,610,962,839,185,812,089,519,118,571,757,994,
727,222,750,356,112,599,199,722,426,003,274,397,769,203,981,566,934,795,129,
772,984,545,961,630,765,951,226,689,519,828,678,508,003,742,857,494,967,932,
475,264,263,050,479,470,981,802,269,329,649,985,913,036,895,617,251,176,617,
580,769,854,331,661,477,772,607,158,311,872,437,169,913,847,000,735,083,914,
799,462,323,083,718,595,790,360,027,055,581,075,196,623,597,503,304,981,370,
617,160,731,198,917,157,264,077,991,564,380,388,177,712,097,256,396,102,145,
620,170,465,231,689,839,159,817,960,735,298,583,428,050,445,430,938,635,498,
727,328,438,576,433,221,864,396,623,064,520,396,777,664,352,581,535,779,127,
003,969,997,736,051,503,506,167,869,321,886,285,368,124,280,636,115,314,306,
673,535,835,385,775,496,413,033,834,177,098,709,563,972,760,918,103,047,412,
232,601,274,025,893,087,986,356,741,960,581,368,067,862,243,657,501,871,823,
543,037,284,011,321,294,299,184,056,703,551,772,623,186,931,603,793,419,277,
737,658,642,909,300,872,885,807,753,065,068,811,804,437,375,711,822,227,446,
047,142,922,443,289,019,095,550,560,482,796,443,388,070,671,492,592,804,129,
659,469,394,943,387,460,381,091,010,142,454,951,486,538,381,763,681,197,640,
631,492,420,607,262,144,625,217,213,101,389,733,606,594,208,673,514,845,829,
425,009,003,152,445,432,298,482,648,161,930,283,485,107,679,468,893,297,509,
632,021,742,412,580,238,005,387,934,371,768,061,626,960,167,473,351,089,878,
289,892,498,318,484,627,543,099,207,776,126,666,977,386,317,786,740,589,412,
288,410,791,835,050,012,439,275,279,095,154,740,240,980,600,514,493,580,147,
702,734,524,842,046,794,794,907,896,824,744,553,349,782,057,408,172,174,366,
695,148,820,276,853,141,953,961,086,948,078,987,384,810,376,575,987,192,424,
969,985,396,884,838,188,730,933,138,741,630,743,923,862,613,423,391,357,379,
195,489,406,322,155,890,979,353,291,329,986,938,474,778,340,301,659,233,526,
100,380,319,821,391,622,723,181,213,599,458,049,748,709,513,704,742,797,837,
296,003,693,640,482,143,414,656,816,004,415,802,315,082,668,665,222,308,231,
943,834,858,747,678,959,037,849,945,054,782,312,808,463,399,928,416,229,150,
238,120,528,601,287,477,531,892,005,393,099,343,708,590,632,895,724,281,731,
307,259,061,455,015,499,207,201,862,043,632,454,132,491,208,396,003,881,160,
045,734,532,208,162,361,526,521,711,297,206,058,799,930,750,626,522,325,412,
369,975,594,350,952,674,137,767,472,414,179,590,057,070,252,992,140,158,746,
885,582,093,633,209,357,508,550,801,140,716,424,188,102,788,827,922,585,379,
008,645,515,683,136,075,777,189,333,547,438,452,085,221,363,112,625,647,767,
679,209,309,483,409,137,537,179,649,705,112,042,587,172,149,987,796,202,394,
170,892,159,973,646,362,195,915,187,389,650,929,870,600,458,672,221,286,457,
900,079,212,810,989,051,223,750,046,172,970,959,246,501,372,496,075,425,344,
761,248,024,880,348,432,168,784,460,165,243,488,286,555,407,768,933,255,529,
454,631,612,309,067,038,532,584,313,442,849,540,088,387,112,490,516,446,276,
954,846,505,092,147,922,581,690,880,143,689,915,944,206,805,388,378,480,147,
438,381,184,479,075,309,681,188,595,053,697,854,037,331,788,646,671,858,400,
805,743,894,077,182,580,661,814,428,707,622,999,736,454,424,155,118,309,926,
199,169,709,798,387,961,437,248,697,098,155,437,950,586,438,151,824,662,579,
434,158,364,449,862,702,925,066,168,957,312,767,079,106,605,107,140,301,340,
187,719,380,419,277,719,776,366,932,941,832,241,381,907,261,684,385,298,881,
713,239,035,838,017,206,218,752,944,580,595,823,121,792,315,801,514,675,291,
121,442,374,103,021,446,699,753,797,825,977,290,611,789,672,016,885,818,885,
247,303,446,424,209,537,084,480,612,102,578,257,165,055,912,547,352,048,343,
899,400,988,191,117,081,875,422,324,575,654,684,375,891,129,988,595,191,935,
808,754,664,337,711,758,643,515,086,528,282,040,120,270,484,582,878,230,636,
795,277,755,628,257,579,806,680,228,801,506,484,624,538,049,655,878,317,351,
873,194,901,591,778,270,904,394,973,921,007,712,920,723,856,746,747,623,907,
056,801,058,390,271,566,461,705,479,245,530,230,123,111,005,044,944,548,934,
075,799,282,771,847,448,800,850,960,279,298,428,120,069,568,026,431,747,371,
290,501,519,618,243,765,895,825,477,398,561,774,662,740,095,912,859,227,086,
903,940,445,125,536,281,928,445,508,642,450,885,863,761,894,821,571,940,202,
797,126,408,964,774,870,369,758,761,865,813,857,928,899,716,104,281,615,741,
238,607,680,470,624,591,887,385,420,256,178,184,360,590,499,567,128,460,877,
699,142,855,671,395,574,735,908,220,617,869,871,863,226,453,737,016,054,208,
349,258,158,282,128,475,084,575,334,388,767,422,427,440,268,671,831,334,102,
505,002,120,043,654,370,762,573,251,605,448,653,319,240,052,141,841,315,109,
900,011,746,736,252,466,397,458,072,672,177,139,347,313,124,130,785,139,023,
679,808,745,838,323,165,134,058,374,177,600,697,011,730,604,758,692,668,746,
040,859,130,375,850,997,823,860,886,190,061,749,130,401,444,966,204,441,985,
593,286,393,076,740,841,812,119,767,151,368,158,038,817,083,932,220,733,383,
230,203,137,611,973,739,144,036,362,578,684,887,603,209,983,691,756,361,980,
536,191,000,126,949,283,390,021,931,579,690,521,373,548,420,528,203,891,839,
474,309,356,247,803,221,005,955,897,295,940,993,894,965,602,088,915,445,869,
703,433,306,663,158,802,326,108,827,204,546,804,181,278,522,792,159,961,598,
469,457,753,288,523,040,722,612,297,297,549,969,764,625,994,240,317,441,568,
412,279,150,576,850,430,377,713,483,608,619,698,924,461,195,722,688,791,373,
805,265,734,638,085,802,784,868,326,671,551,711,576,749,813,125,037,940,830,
924,654,135,730,513,292,225,266,570,600,203,368,701,151,217,765,740,083,777,
592,730,753,775,222,331,084,135,108,536,676,418,722,697,592,959,196,252,556,
385,475,937,714,770,905,835,570,532,667,966,686,705,851,107,963,502,888,980,
900,032,213,818,192,784,655,180,301,241,656,162,901,146,900,581,627,062,385,
199,687,792,006,676,084,577,090,302,345,021,617,588,930,275,331,888,256,446,
377,184,182,459,605,841,796,720,892,069,445,084,885,043,835,996,768,681,592,
788,327,266,500,149,031,668,229,247,163,541,180,670,787,095,858,690,858,278,
531,968,038,000,383,765,807,606,127,200,096,553,150,580,913,362,770,415,228,
508,285,152,195,906,129,269,224,537,094,091,160,250,795,585,466,084,250,975,
792,967,307,191,159,874,022,883,298,147,683,206,303,531,246,700,211,464,943,
132,799,146,066,723,638,400,300,971,272,383,353,150,286,826,290,907,890,148,
410,071,956,076,291,550,386,266,562,854,903,508,422,282,806,098,439,898,238,
518,436,511,515,706,109,305,224,750,268,569,968,932,065,553,188,011,996,780,
673,869,705,580,124,661,159,038,873,387,236,102,810,037,945,654,645,225,637,
054,468,139,231,401,966,969,548,178,481,993,577,918,559,362,144,249,328,219,
067,016,092,952,900,446,606,582,038,173,117,283,490,344,472,320,575,055,549,
925,180,921,722,036,783,270,935,786,390,693,706,123,050,890,968,891,053,080,
125,130,132,842,155,561,957,770,062,881,252,289,292,193,319,116,285,061,600,
351,763,081,561,266,119,164,082,257,758,073,781,897,376,195,483,702,807,369,
497,558,274,198,770,058,781,179,085,970,193,816,898,264,153,636,768,691,214,
378,341,399,330,403,922,166,762,293,993,955,622,562,737,531,535,626,955,447,
356,935,822,550,213,136,327,668,485,238,252,754,782,320,037,258,418,134,289,
139,120,023,306,413,152,666,167,597,250,782,045,832,033,242,267,326,457,215,
764,907,990,416,135,143,378,722,920,522,190,924,002,886,871,048,782,988,200,
891,285,477,419,395,029,782,030,924,142,320,798,443,622,479,920,133,847,855,
045,231,232,262,941,209,942,150,103,079,290,661,390,899,682,015,784,762,666,
085,383,549,602,627,101,746,892,909,062,708,897,200,608,378,841,294,816,189,
712,838,707,632,789,599,952,552,262,061,387,136,472,630,315,837,330,692,006,
317,872,569,505,105,744,804,145,158,491,468,424,870,763,166,228,940,020,728,
979,107,546,255,371,499,878,922,337,224,860,745,283,991,804,330,538,312,038,
598,123,087,949,814,213,867,398,797,622,782,330,689,634,827,572,476,819,678,
993,402,595,336,375,325,649,631,115,708,000,228,239,055,001,734,828,869,974,
048,577,950,386,252,625,994,231,606,490,653,254,446,164,197,626,009,906,816,
120,300,006,965,063,415,369,133,377,474,637,823,466,733,040,143,338,325,661,
340,678,540,582,393,758,000,756,929,547,263,050,947,162,656,834,597,616,737,
927,250,748,928,301,451,366,314,742,092,959,647,175,938,783,833,285,501,410,
426,318,510,360,018,363,438,739,331,966,591,011,431,239,967,804,303,382,168,
540,096,628,091,774,708,948,878,261,513,804,390,984,739,066,846,679,252,841,
949,283,349,313,528,308,913,133,431,958,392,608,291,792,813,272,914,812,388,
528,525,298,375,329,315,726,864,075,211,197,543,420,874,937,131,074,831,049,
212,280,648,736,389,089,046,635,780,300,757,348,538,507,038,361,906,776,825,
360,670,224,870,206,736,220,055,279,170,023,064,727,908,559,222,838,233,213,
123,976,196,410,056,808,744,376,988,782,372,121,494,551,312,203,081,803,051,
281,036,491,928,280,716,812,263,839,633,152,232,824,716,614,502,054,738,958,
094,050,978,504,017,809,776,754,455,616,633,800,081,802,171,115,711,556,337,
669,161,147,105,685,671,229,905,104,235,682,920,774,454,737,773,337,571,151,
806,657,799,682,199,020,214,290,204,695,751,196,044,217,574,225,113,141,027,
694,390,116,663,632,710,608,227,173,898,849,175,671,859,211,646,099,980,704,
684,850,813,239,281,222,554,821,180,868,468,969,696,552,323,133,458,075,952,
837,925,925,102,026,041,206,345,579,384,125,336,293,585,169,120,577,351,292,
143,818,400,708,879,209,718,814,762,535,023,423,296,509,087,231,027,130,346,
577,421,149,907,997,996,625,300,401,966,883,470,159,115,626,383,848,477,769,
151,042,385,755,070,500,468,921,553,385,944,415,164,398,494,098,930,265,466,
918,551,281,856,836,066,272,236,904,016,040,826,271,586,545,885,753,509,822,
067,766,696,841,686,650,515,768,413,396,095,697,069,024,542,874,615,220,641,
696,807,220,475,644,727,875,853,823,613,037,798,112,091,843,567,817,682,790,
334,818,873,040,038,168,125,644,535,956,145,864,835,721,852,042,787,508,880,
609,468,893,305,643,554,530,078,066,662,353,105,252,496,364,735,983,541,027,
546,697,481,670,646,767,568,828,330,748,975,745,103,404,861,856,059,661,226,
041,396,407,808,451,056,555,646,274,071,975,902,746,558,599,145,546,599,606,
245,846,242,771,844,416,463,545,908,096,819,469,429,573,261,555,998,077,989,
723,794,019,043,478,576,816,319,405,884,956,666,893,426,666,082,072,999,862,
579,611,581,697,746,233,704,706,089,384,205,409,546,451,704,843,715,787,710,
527,872,987,058,641,813,417,890,753,711,000,656,416,467,387,846,831,326,631,
635,945,264,022,149,149,798,536,516,329,702,515,779,132,724,941,800,350,054,
945,106,991,677,884,976,239,414,354,812,199,327,217,646,746,003,634,449,684,
450,999,172,319,737,351,609,220,233,627,351,453,822,201,779,855,861,329,322,
722,482,977,394,307,457,919,724,618,653,956,794,939,721,846,479,272,484,159,
327,649,392,571,859,009,562,133,521,071,693,998,137,387,229,581,660,031,842,
626,606,541,493,981,101,040,698,082,486,291,888,425,125,022,328,984,582,181,
378,302,384,202,762,507,935,393,870,524,361,193,464,539,195,170,807,714,661,
905,607,882,640,410,580,517,535,415,993,906,306,376,102,853,590,534,708,317,
382,824,103,574,600,275,315,887,069,941,660,734,766,312,436,192,819,979,962,
068,672,304,579,701,556,508,639,767,682,540,916,174,458,958,027,041,387,127,
628,457,127,573,400,369,805,787,155,320,141,480,429,308,648,476,856,676,167,
626,564,714,716,247,505,542,059,225,387,902,979,977,983,426,978,183,941,003,
035,908,544,378,810,317,972,121,291,715,711,895,511,704,307,910,148,883,441,
851,703,368,690,316,652,734,237,520,411,193,456,176,681,568,606,815,004,431,
837,525,943,317,926,656,502,118,841,196,742,146,577,575,690,248,393,347,154,
230,275,893,876,267,836,393,587,538,329,780,025,029,428,380,639,787,445,148,
601,236,648,347,422,070,672,805,498,880,830,951,290,744,962,931,679,640,059,
185,340,531,020,584,051,052,645,969,583,515,681,673,012,223,544,661,460,597,
977,407,746,002,280,395,565,803,727,140,326,740,829,960,989,113,213,910,380,
726,598,408,714,423,972,932,189,074,774,078,676,389,270,071,040,100,831,828,
552,922,217,979,888,835,804,100,199,936,873,688,348,370,464,991,313,553,732,
625,895,663,868,783,297,816,511,373,205,238,942,509,932,269,332,222,375,981,
382,126,406,537,894,320,830,024,661,335,665,679,404,977,331,083,766,501,733,
731,562,077,996,397,675,977,260,602,868,385,950,783,223,948,890,921,664,255,
931,826,174,301,112,732,584,244,937,031,668,241,419,601,643,504,643,589,714,
880,432,896,441,359,485,083,255,382,854,186,297,675,113,199,678,131,804,625,
998,723,413,155,214,419,843,840,719,230,006,358,634,094,899,610,850,059,091,
253,682,146,382,116,096,805,479,864,496,174,590,230,089,726,528,311,098,345,
575,098,870,995,158,005,907,556,353,021,483,161,935,956,836,122,825,717,923,
371,437,466,155,575,083,921,465,954,437,159,964,166,108,395,703,216,935,748,
943,071,110,638,851,072,281,124,694,919,670,659,229,917,657,788,915,397,825,
364,129,100,728,190,863,992,776,330,382,394,176,747,638,089,730,963,085,690,
020,636,374,642,653,485,853,433,443,988,777,611,585,867,123,710,563,839,281,
715,887,049,038,906,911,978,742,811,690,432,792,868,379,495,818,674,146,349,
827,499,443,984,520,813,173,037,575,017,338,875,999,543,449,906,117,658,421,
529,040,822,630,509,605,130,398,350,217,542,080,602,264,438,352,742,603,988,
425,983,427,903,229,832,384,667,610,782,144,699,438,328,557,581,430,987,268,
626,343,140,800,919,596,219,325,015,050,745,939,044,932,220,192,178,410,150,
129,970,431,772,022,850,172,114,024,143,195,717,513,201,272,546,286,236,245,
946,667,207,552,789,955,585,629,951,047,311,321,670,051,096,977,350,611,865,
720,084,567,580,302,052,300,993,299,648,179,173,501,699,961,213,913,380,089,
897,978,788,785,547,584,713,033,747,611,073,795,328,498,586,622,489,766,739,
743,847,782,128,018,289,800,014,210,675,725,817,335,205,828,227,704,989,809,
510,537,678,329,910,353,876,801,173,147,096,093,483,868,710,569,473,612,796,
218,973,818,624,542,963,812,684,832,480,240,783,325,270,017,177,105,178,288,
927,722,944,587,445,968,092,594,743,983,523,563,996,105,935,698,381,053,093,
926,096,071,814,502,784,341,542,181,755,888,824,239,369,179,894,016,188,109,
517,126,026,254,359,632,412,968,672,566,343,884,203,133,958,918,128,510,462,
213,969,690,476,066,938,599,371,182,190,649,165,335,071,742,637,375,224,509,
837,452,499,597,958,677,037,829,832,865,400,210,537,745,701,316,113,364,931,
792,977,552,697,421,677,112,388,446,827,028,785,476,348,557,692,408,767,035,
421,038,541,184,798,803,473,702,731,001,861,043,937,011,268,210,076,059,669,
526,283,485,592,307,520,785,629,299,719,254,822,473,553,733,670,824,796,283,
810,803,775,754,462,631,755,452,775,456,060,406,614,815,338,691,495,219,582,
044,895,325,276,342,812,498,957,425,253,759,106,569,503,286,217,561,947,366,
040,687,577,767,230,426,134,949,959,402,056,308,512,365,388,635,773,133,117,
724,264,443,077,783,011,741,151,829,204,303,021,748,380,970,771,301,866,383,
581,033,313,442,384,784,347,510,865,583,616,978,999,822,251,472,211,000,836,
088,235,363,665,255,484,802,797,736,829,638,693,435,982,629,682,209,803,297,
714,286,523,911,897,608,041,343,499,524,908,326,731,389,245,249,072,602,193,
682,513,704,900,648,068,960,071,926,421,883,842,040,771,805,779,969,436,685,
756,181,053,600,226,832,906,700,471,555,949,065,561,872,979,089,362,142,413,
551,962,096,653,117,558,794,785,389,830,793,800,038,907,539,232,756,126,195,
553,736,834,031,175,543,523,010,318,524,715,152,807,155,463,859,339,350,125,
082,407,116,677,509,954,714,824,750,530,138,194,027,960,185,962,623,110,934,
173,295,560,893,204,504,470,373,429,249,243,627,099,227,877,555,061,882,577,
042,282,529,764,973,156,068,587,348,804,647,344,154,204,307,215,191,778,283,
351,068,620,648,183,132,635,231,642,506,854,691,413,288,472,731,711,431,142,
684,536,893,855,749,775,842,330,561,260,658,206,402,098,731,621,815,841,477,
675,341,498,021,079,749,810,983,914,463,638,465,105,343,040,496,789,133,825,
329,665,943,320,404,741,121,911,668,457,885,166,309,437,512,902,492,198,409,
810,087,398,591,218,268,472,865,078,383,159,893,323,931,250,215,575,864,130,
830,397,604,355,044,144,863,550,718,019,555,534,712,157,450,562,439,393,360,
582,777,618,661,787,375,985,771,969,372,493,416,436,354,218,555,690,292,724,
254,553,312,991,103,659,841,813,847,790,884,404,013,929,810,928,994,318,100,
117,890,601,996,253,920,141,637,892,979,729,985,843,624,439,419,304,866,880,
826,602,318,922,028,690,965,910,843,920,803,073,875,027,419,710,475,167,841,
469,192,387,687,093,505,774,147,878,640,215,666,495,100,676,290,761,534,887,
408,035,778,126,061,998,266,946,019,211,125,019,085,340,599,467,412,644,960,
983,940,965,447,654,701,468,529,586,379,769,578,553,996,271,572,823,889,465,
963,713,660,783,547,338,339,838,931,903,722,743,833,835,393,596,741,596,225,
484,916,662,180,293,583,568,193,008,451,380,021,210,230,999,174,567,508,460,
107,734,983,095,032,027,555,927,465,663,103,030,953,821,921,717,225,526,785,
243,849,225,622,039,918,839,719,789,081,935,327,347,361,657,155,241,304,063,
575,779,159,936,688,360,939,463,024,338,678,613,635,688,147,549,595,614,965,
895,816,133,791,508,486,822,506,214,576,240,542,860,747,805,938,051,176,857,
806,261,520,207,361,061,008,128,277,748,509,852,568,980,878,081,830,387,114,
814,904,563,195,925,440,913,942,203,351,025,761,651,165,663,539,425,423,963,
238,034,103,550,793,462,793,132,933,507,478,639,911,818,407,917,433,391,511,
496,849,311,430,483,505,125,116,749,765,462,887,251,702,770,174,250,020,219,
051,588,287,444,943,501,556,342,357,969,191,079,807,723,186,102,696,617,848,
143,858,250,793,961,361,086,535,853,268,018,343,997,197,219,045,257,373,010,
016,149,463,480,321,637,290,746,301,258,711,386,870,209,206,716,812,282,890,
952,665,177,656,266,852,407,298,339,365,468,137,006,871,759,004,751,842,105,
161,323,180,663,891,244,796,216,696,951,965,970,004,162,939,284,128,261,898,
608,184,080,544,187,524,561,580,373,788,242,726,439,536,900,715,722,857,675,
144,931,449,244,677,011,746,351,523,775,619,265,914,050,876,446,128,926,066,
157,925,216,551,210,408,237,520,198,098,910,256,669,767,530,543,209,899,675,
713,516,831,452,214,157,578,771,184,945,064,746,338,842,714,676,657,900,394,
468,118,900,390,677,048,254,406,074,527,860,794,947,690,052,162,523,696,854,
258,469,880,049,836,330,514,287,681,865,048,298,086,844,541,098,263,989,105,
460,272,185,973,762,920,471,936,637,414,495,382,861,229,503,828,891,755,078,
616,580,693,929,965,454,030,623,465,232,262,803,635,153,596,814,748,070,361,
194,488,948,115,576,993,712,301,342,910,500,209,124,078,574,061,428,681,656,
725,578,895,793,455,343,584,683,255,697,074,730,797,924,510,568,205,218,670,
016,582,748,484,228,627,400,031,301,666,004,704,748,056,699,286,770,466,200,
265,739,717,981,011,951,663,973,430,930,757,211,473,078,875,649,091,206,571,
875,874,445,325,271,807,839,525,465,054,277,393,394,898,268,225,420,195,319,
663,819,659,005,764,891,922,453,088,400,599,924,260,310,636,130,357,529,191,
092,588,562,193,000,579,824,942,860,803,901,603,286,760,518,567,205,674,605,
939,426,414,244,606,066,964,274,163,812,866,274,391,098,812,909,622,313,979,
083,024,316,199,660,242,418,795,313,870,213,893,187,489,848,393,778,985,128,
729,344,587,242,754,440,084,696,822,505,092,771,529,755,797,866,513,373,652,
286,935,935,301,751,312,477,712,893,715,538,467,862,640,462,434,694,183,822,
424,062,487,881,569,563,838,683,651,903,627,903,469,395,175,338,507,644,046,
058,266,920,725,977,632,611,563,311,309,876,594,148,411,603,024,404,582,925,
831,212,332,631,707,780,975,289,696,538,262,555,585,966,801,791,400,616,278,
793,822,072,604,314,305,629,561,446,569,880,767,144,355,375,387,659,651,832,
506,842,218,576,322,059,811,431,894,506,743,060,839,842,712,987,485,830,942,
516,181,834,115,100,773,121,856,933,405,320,654,338,973,651,753,165,667,097,
253,415,827,244,946,659,443,825,676,833,968,245,893,119,162,643,244,513,090,
157,336,420,173,111,477,142,995,448,446,583,931,047,887,231,056,140,855,327,
459,468,980,571,768,193,292,276,704,171,611,532,172,138,254,363,964,820,781,
845,879,063,488,164,020,058,523,722,536,559,232,727,012,363,700,252,344,784,
325,492,001,701,442,836,778,408,661,174,418,831,555,366,329,595,615,691,891,
781,497,576,724,984,894,270,685,536,302,517,615,982,401,865,073,670,093,846,
122,159,526,671,298,620,243,588,817,287,810,596,344,952,768,042,964,653,096,
109,535,967,782,240,694,724,118,796,387,132,274,422,047,497,930,401,383,805,
146,882,986,330,246,177,384,543,948,881,354,758,932,922,380,867,512,071,295,
310,517,482,847,438,602,699,760,727,736,423,849,836,390,087,183,091,246,394,
922,735,166,713,027,658,168,964,207,576,458,687,664,071,838,462,413,582,138,
240,830,883,866,461,382,143,192,622,820,150,575,798,259,228,439,114,013,129,
734,053,252,968,961,080,222,902,082,278,267,474,271,920,391,629,225,942,527,
090,245,091,764,036,195,387,588,790,728,331,306,559,062,677,708,327,777,486,
781,864,250,625,990,880,063,569,627,699,596,398,432,472,982,997,956,558,418,
046,447,986,382,778,025,390,569,314,945,323,911,054,880,412,267,946,600,135,
794,230,192,041,973,481,629,500,926,001,321,749,846,038,277,071,565,217,180,
705,391,372,394,980,610,674,425,113,375,564,622,008,026,119,270,356,128,046,
984,251,618,140,939,753,527,594,465,070,278,705,465,620,659,302,610,591,733,
169,792,495,628,585,147,870,777,868,809,635,256,904,084,055,197,749,176,426,
731,879,410,174,758,458,475,371,538,469,256,753,606,736,122,620,780,021,908,
271,811,407,321,384,599,574,039,615,919,578,907,486,227,149,762,860,999,942,
307,044,535,221,616,619,009,836,896,520,217,160,659,783,334,004,804,512,013,
509,689,885,901,248,431,254,812,157,196,039,668,751,347,179,793,873,669,179,
813,510,772,648,596,175,483,988,764,677,783,933,367,495,588,052,704,076,891,
678,432,792,318,421,018,975,326,918,037,231,185,327,217,636,377,113,444,645,
063,409,940,615,760,811,912,075,677,203,596,587,078,278,991,340,823,345,967,
360,651,170,248,335,660,629,661,744,852,823,321,215,560,325,395,110,267,113,
847,566,655,382,993,804,461,849,586,110,714,544,914,463,021,339,816,238,919,
537,706,198,213,920,631,614,901,747,355,708,673,847,873,712,297,414,041,181,
254,721,901,619,987,691,265,090,581,372,056,435,019,110,929,542,004,362,825,
199,017,264,260,376,686,154,588,405,566,380,893,961,833,554,797,937,756,128,
883,462,048,637,513,741,289,991,265,333,435,496,757,959,646,491,152,415,439,
104,965,344,113,405,826,906,703,873,105,255,432,741,485,031,265,263,635,300,
787,696,053,889,589,199,544,589,353,936,430,668,298,193,546,414,307,310,603,
567,079,006,742,232,815,447,079,221,967,198,676,024,868,675,465,626,495,274,
145,193,038,145,713,463,232,226,275,306,038,191,785,385,484,778,491,764,433,
270,968,321,184,329,335,339,849,953,972,921,530,293,087,881,962,831,599,218,
733,068,255,271,139,128,280,346,644,366,245,148,371,304,183,447,770,529,406,
182,448,701,205,310,876,167,419,924,171,231,534,242,267,405,819,325,481,019,
862,389,775,097,432,206,926,339,616,068,494,019,189,952,283,180,684,146,839,
482,899,605,184,213,233,502,365,556,873,579,714,892,069,437,084,222,958,113,
708,191,273,585,720,270,734,498,616,525,326,021,638,668,036,926,071,252,659,
817,577,093,861,948,236,246,796,803,432,097,034,026,823,141,491,174,841,252,
936,955,694,686,570,546,597,732,325,502,906,827,661,533,037,516,190,859,220,
144,908,582,261,945,937,077,552,809,392,178,180,365,629,539,459,903,446,326,
198,081,984,836,075,976,520,213,999,685,675,983,043,622,031,166,737,210,967,
139,946,523,343,109,859,729,802,802,343,377,902,826,535,452,016,978,434,241,
168,248,548,785,030,057,441,666,611,381,682,443,255,361,186,550,276,116,746,
478,042,187,864,627,533,156,905,177,311,760,037,338,284,526,913,355,212,494,
987,813,415,788,809,264,471,011,671,700,357,737,063,053,236,063,263,444,376,
924,064,690,963,291,812,679,802,808,687,798,776,290,931,588,777,250,283,073,
440,647,025,038,419,076,913,089,088,678,134,967,229,458,756,960,907,024,719,
252,893,411,889,658,059,609,743,568,261,222,296,673,386,258,323,728,541,775,
373,410,869,663,207,321,495,594,712,578,085,475,869,436,319,461,552,232,098,
666,680,334,107,775,076,608,153,339,080,974,429,965,173,850,470,358,741,661,
645,753,496,803,411,500,649,840,445,281,819,110,139,782,486,250,334,195,623,
134,223,247,074,573,417,281,322,046,580,803,069,523,778,872,074,577,211,721,
987,159,953,795,622,905,818,635,510,330,047,302,443,075,388,041,688,215,289,
207,577,443,723,303,810,365,630,523,991,797,616,930,502,201,842,043,662,884,
215,078,089,948,016,205,127,501,978,391,583,321,441,786,114,304,995,734,297,
541,175,865,840,419,222,571,897,067,300,880,636,784,691,075,774,113,702,104,
063,566,383,223,689,775,545,566,800,570,429,751,743,793,573,345,594,769,618,
078,699,487,128,462,942,412,557,845,418,370,898,524,426,523,726,095,418,017,
867,435,037,554,292,267,498,983,615,714,497,497,952,675,626,653,194,937,524,
293,512,941,678,952,814,612,665,351,758,721,354,227,678,738,945,694,981,755,
422,460,339,683,129,830,636,091,498,581,732,954,789,088,353,722,064,240,210,
182,372,386,288,222,397,314,000,669,730,155,361,047,200,335,580,172,128,231,
434,195,072,207,550,753,412,391,283,138,637,056,148,538,901,964,808,389,716,
625,331,241,619,566,006,207,180,148,515,474,772,762,118,754,472,536,324,496,
358,889,929,720,630,249,639,967,194,657,427,533,661,985,939,412,024,435,036,
792,086,745,144,540,845,689,809,077,722,631,578,061,702,022,872,888,545,247,
768,958,416,489,494,475,607,729,738,577,344,552,412,798,587,820,044,902,214,
480,360,402,043,455,293,940,296,174,462,206,457,603,124,032,256,135,684,047,
606,129,102,158,988,520,151,485,943,697,086,882,441,049,265,632,609,077,622,
198,592,648,920,436,430,469,553,495,029,550,651,532,547,141,729,672,238,288,
464,311,542,548,182,142,082,910,041,772,554,435,948,749,756,989,242,127,712,
475,577,255,892,405,043,631,533,298,012,181,081,110,395,563,120,201,540,668,
705,056,308,972,920,350,270,186,588,658,274,003,269,991,710,441,574,893,253,
899,428,716,931,052,002,218,057,259,913,244,469,214,677,402,315,619,672,088,
039,269,617,943,129,293,061,639,677,507,572,349,021,247,921,721,036,298,163,
023,175,879,068,097,117,862,845,486,741,147,628,197,511,748,841,531,039,325,
582,168,190,567,276,095,136,346,124,112,591,794,335,043,237,982,413,715,194,
199,819,869,126,771,660,296,164,919,862,563,415,155,492,345,647,715,998,205,
912,651,065,560,324,260,397,020,266,242,235,556,655,211,764,303,937,977,060,
011,070,713,664,414,768,691,522,399,637,467,371,332,988,389,990,604,887,413,
788,999,447,957,616,710,483,769,462,553,361,617,181,668,730,567,374,431,673,
354,760,347,271,370,877,021,633,259,987,787,100,382,648,949,066,366,056,840,
405,463,357,005,302,455,478,249,460,757,961,349,457,691,144,347,365,451,908,
770,814,202,642,165,543,100,374,791,955,369,242,366,853,884,051,905,931,106,
789,936,651,421,239,139,341,982,543,293,132,149,352,944,709,037,998,281,512,
391,201,476,180,137,602,751,682,916,319,947,895,850,989,897,452,520,442,831,
014,732,105,978,163,261,404,439,500,866,920,043,164,005,946,753,043,198,667,
894,632,631,454,596,163,301,669,789,469,549,714,305,746,946,607,257,424,672,
634,644,368,348,368,199,631,131,427,280,817,403,069,363,156,942,381,100,878,
471,228,218,252,358,449,130,675,659,885,499,275,049,199,199,204,577,171,646,
454,553,077,350,504,265,691,163,890,442,065,124,445,943,902,912,765,280,277,
094,104,770,078,037,520,252,919,001,723,612,917,147,583,866,507,180,442,430,
099,884,146,732,208,870,680,817,470,293,396,060,323,256,969,017,538,152,074,
119,998,267,629,341,099,748,826,053,525,306,011,188,775,889,576,183,483,080,
629,289,363,965,031,766,676,905,122,205,598,283,893,223,722,010,867,542,476,
255,784,018,288,974,527,861,910,653,395,131,191,261,792,946,963,843,781,142,
152,428,877,614,441,524,048,504,016,761,449,319,256,317,667,339,610,386,458,
332,780,004,025,696,498,360,772,395,898,625,465,263,359,348,702,903,626,509,
576,559,395,944,040,387,196,887,937,023,242,768,286,242,964,395,708,049,348,
054,043,256,997,834,727,172,308,850,777,739,984,660,664,593,360,395,421,361,
539,704,117,090,586,836,415,840,812,484,209,892,329,393,714,655,871,409,487,
831,972,229,146,410,826,489,332,731,752,270,019,898,553,031,362,180,144,034,
758,127,336,103,210,878,705,587,426,645,612,918,918,330,279,987,227,901,504,
976,131,351,791,683,350,627,837,134,194,682,219,097,140,778,281,968,080,146,
840,436,074,312,436,870,539,115,347,750,539,720,066,358,860,742,508,378,702,
491,669,127,159,339,475,648,736,139,498,885,507,778,311,375,725,979,842,354,
179,007,973,853,694,454,884,192,219,027,818,653,848,503,061,194,601,679,555,
227,992,052,935,396,177,702,766,351,420,031,501,212,676,261,651,746,971,724,
907,171,482,020,600,111,765,204,250,775,411,904,124,292,429,181,103,932,947,
245,103,426,134,086,217,657,396,047,521,422,442,275,799,009,454,068,611,357,
162,483,427,567,044,999,429,304,943,017,393,115,965,627,572,680,262,728,995,
983,489,800,523,226,183,801,768,473,589,239,522,796,436,706,892,217,100,649,
944,545,368,663,110,926,716,366,134,828,202,358,019,033,514,336,590,025,982,
349,473,532,722,460,289,696,426,746,858,710,707,244,375,705,831,474,313,483,
841,380,453,631,423,826,702,517,529,177,735,123,457,934,456,026,299,813,408,
218,944,862,624,474,366,732,035,653,339,408,769,149,270,336,409,325,271,327,
115,534,985,195,245,277,900,067,459,354,844,161,979,358,941,545,785,126,203,
159,845,851,766,647,291,441,161,747,016,282,845,837,713,032,276,249,447,662,
194,746,101,678,808,609,817,162,708,630,044,077,492,170,146,265,449,255,971,
587,230,584,952,360,866,241,510,114,127,966,720,706,354,167,614,010,383,934,
429,639,573,304,225,545,636,822,122,850,973,902,033,591,574,990,520,115,875,
183,004,923,336,622,261,594,653,579,931,276,156,784,528,227,304,277,956,575,
744,624,507,415,788,987,118,804,565,235,255,296,652,644,461,283,371,108,110,
642,223,961,133,405,289,211,568,394,642,078,775,167,601,911,356,866,947,290,
051,966,336,846,986,051,426,173,523,480,201,890,152,663,500,438,019,150,049,
502,284,359,838,261,033,996,262,827,067,947,345,792,749,474,940,440,066,254,
447,685,061,086,769,822,750,081,769,717,527,905,279,260,139,134,648,926,564,
911,274,528,025,387,478,760,977,849,488,354,544,051,013,433,684,489,306,151,
592,658,024,464,968,947,894,666,427,268,660,050,280,193,254,815,952,440,852,
377,029,593,304,271,216,014,657,699,807,868,072,424,966,535,094,281,698,390,
842,501,723,004,740,330,225,844,464,120,017,670,471,254,357,192,141,819,232,
976,290,739,192,924,370,509,716,564,102,629,795,202,722,857,840,505,463,518,
584,903,217,553,255,115,837,840,337,234,186,720,723,727,357,979,428,263,968,
921,535,483,234,522,538,803,847,092,127,272,861,713,795,491,308,292,392,954,
057,152,857,574,187,090,450,701,394,372,564,513,227,866,466,411,966,366,021,
568,087,213,970,682,923,660,042,593,603,524,298,564,068,439,205,107,230,448,
664,546,326,057,237,540,780,614,387,935,958,783,676,226,559,120,346,455,953,
928,501,810,880,357,801,159,642,863,502,548,480,218,137,597,319,813,143,365,
305,945,410,016,246,153,451,941,671,962,984,646,207,938,422,438,275,373,871,
175,697,367,674,259,162,399,217,659,800,387,565,645,811,969,329,031,795,133,
445,663,207,921,346,411,403,124,397,787,117,600,980,086,027,577,839,436,915,
363,834,157,413,139,728,928,952,897,676,810,392,246,812,395,419,299,175,958,
547,823,421,513,880,427,071,867,738,431,380,938,063,323,415,185,064,728,506,
720,713,168,433,810,309,211,517,002,515,957,349,360,501,844,949,267,571,688,
194,648,131,451,168,153,424,466,842,447,187,452,921,669,987,329,495,049,959,
545,998,266,924,892,450,385,363,774,381,592,576,387,505,134,293,127,056,382,
089,939,630,334,785,170,054,899,064,013,398,132,945,611,806,163,548,025,205,
278,452,740,787,645,948,907,250,572,599,988,901,717,457,865,150,631,061,311,
994,542,487,259,365,442,126,249,417,225,288,648,411,173,976,329,557,318,651,
167,637,631,263,955,867,593,603,838,822,533,227,293,720,321,885,689,832,277,
939,717,826,550,634,772,900,804,023,666,655,135,340,266,695,936,962,247,961,
816,216,211,305,192,552,000,934,465,145,733,979,350,514,590,573,435,951,306,
736,960,017,667,403,974,229,767,310,702,528,842,640,647,753,002,607,353,769,
977,369,876,721,201,573,486,800,529,628,356,023,171,280,623,829,821,785,121,
867,554,776,657,442,844,193,615,414,609,819,039,201,435,248,739,557,285,769,
204,462,350,822,752,191,525,701,207,360,091,627,392,192,182,815,875,470,038,
211,767,939,586,898,250,299,484,833,490,544,398,690,511,826,575,513,941,738,
711,807,715,708,195,240,805,252,197,205,263,758,746,651,438,177,937,726,676,
749,058,562,454,416,272,724,427,588,334,097,164,411,166,082,333,363,162,876,
580,135,454,402,981,914,243,481,644,770,521,526,565,650,486,768,772,575,369,
505,207,651,122,772,591,122,073,733,279,504,565,398,113,575,338,978,214,217,
385,420,113,767,072,829,937,796,015,562,753,788,411,555,029,409,996,682,810,
667,000,698,198,759,980,461,746,050,345,392,234,004,307,238,611,502,402,054,
007,028,325,628,461,631,273,685,180,330,694,221,569,045,831,334,822,723,024,
697,583,530,356,206,354,127,450,176,550,399,094,983,535,690,783,328,796,235,
918,251,734,460,369,499,429,732,286,033,069,076,383,251,981,213,401,443,961,
999,866,813,324,279,813,975,810,849,071,623,819,828,934,909,642,476,438,852,
364,926,504,390,691,495,460,095,889,514,748,958,502,881,683,252,128,911,214,
956,941,728,841,404,656,822,908,060,197,351,951,029,709,944,291,956,784,170,
094,452,859,536,399,043,333,121,025,576,035,627,323,760,177,947,415,189,220,
802,904,641,703,583,641,148,074,798,688,658,328,948,128,794,827,816,916,107,
566,588,748,767,113,083,346,816,403,320,550,710,283,337,664,940,647,405,319,
802,485,761,208,028,198,212,988,441,721,039,303,994,616,663,567,628,494,681,
667,549,680,172,838,330,058,426,561,808,034,169,463,932,013,862,938,275,767,
652,691,884,895,836,364,672,150,855,341,836,193,092,863,487,804,151,033,126,
980,739,652,923,838,270,245,793,998,372,887,620,046,306,566,787,899,414,159,
799,011,371,515,204,056,034,371,616,936,269,893,272,094,887,299,383,192,978,
762,987,399,970,558,373,238,003,443,572,477,885,990,984,826,552,640,072,008,
076,671,774,182,004,866,297,784,475,623,181,210,045,693,661,371,270,960,017,
555,759,688,638,381,173,586,441,093,113,658,763,488,775,723,908,339,649,873,
253,153,687,153,541,939,782,217,677,349,872,312,697,175,460,049,652,271,200,
128,089,231,171,062,562,009,888,567,558,848,396,301,236,065,947,144,007,712,
562,922,999,305,866,780,933,773,527,822,124,708,862,355,123,085,857,681,053,
151,688,921,494,935,251,290,773,927,283,326,631,044,305,447,631,980,594,718,
783,019,013,864,992,712,160,816,205,262,726,894,267,388,149,763,928,207,677,
062,034,272,445,609,710,107,596,262,695,800,083,451,141,229,705,429,499,699,
491,086,176,255,404,996,904,718,724,884,476,653,437,425,679,960,864,099,612,
916,474,766,040,803,185,644,125,312,504,154,995,344,259,625,218,345,611,343,
714,652,822,122,647,806,650,632,983,913,764,973,907,703,733,834,889,880,815,
095,292,607,163,938,293,635,859,600,563,567,025,196,265,636,849,480,390,742,
900,603,658,298,284,514,552,770,008,823,204,010,055,390,421,938,499,828,063,
687,230,739,246,122,099,662,461,187,214,991,487,271,819,786,250,133,164,578,
468,449,105,730,280,903,264,625,956,927,840,850,752,209,222,663,555,682,892,
363,773,240,546,540,341,733,404,525,904,061,654,107,315,580,831,596,060,723,
091,146,226,032,150,316,865,797,926,898,684,605,410,436,985,292,904,281,324,
292,770,003,081,055,508,233,476,772,310,629,501,178,362,472,676,907,881,442,
279,086,651,057,512,841,770,506,297,341,586,019,718,288,604,521,577,355,454,
070,411,434,978,544,240,229,245,078,000,889,367,168,360,619,181,225,634,062,
177,685,891,087,071,010,559,266,800,251,743,336,537,097,341,989,500,543,289,
876,596,857,432,711,193,987,590,412,898,621,942,996,546,833,584,816,235,188,
740,774,271,092,347,555,558,346,383,072,819,120,317,574,111,145,233,497,855,
101,031,599,392,355,156,657,631,027,928,482,904,369,964,929,602,796,000,719,
949,866,102,655,946,763,795,696,057,140,028,546,333,671,560,224,622,297,768,
752,133,562,188,951,899,490,081,168,088,766,167,147,345,818,557,710,102,334,
910,856,680,086,427,330,126,477,462,546,140,778,886,625,367,634,944,121,275,
487,551,297,112,289,164,998,111,148,042,171,788,767,269,138,912,610,837,966,
498,314,236,702,034,506,567,293,911,236,650,632,368,992,685,608,818,870,681,
060,680,005,261,743,827,588,389,288,852,599,116,084,654,122,084,118,575,756,
666,761,028,833,054,906,112,759,587,695,365,641,063,833,540,625,237,668,412,
466,093,047,508,392,104,130,860,927,120,297,172,518,604,539,695,364,758,373,
482,251,198,097,539,614,565,889,219,017,332,506,735,025,126,166,952,853,708,
396,102,022,644,665,234,729,290,863,673,923,375,936,884,787,790,451,363,621,
172,132,298,032,723,939,078,352,448,076,604,445,058,455,670,401,928,067,941,
796,815,973,635,676,977,913,366,533,144,271,441,655,658,651,803,988,231,546,
207,383,118,244,650,777,769,807,418,738,532,266,755,949,400,967,034,491,105,
100,412,372,035,877,316,404,271,466,812,537,663,761,966,135,731,420,127,111,
793,940,296,645,554,954,279,725,907,608,079,863,587,475,063,342,655,246,665,
963,464,693,571,007,560,803,776,859,865,375,465,483,144,427,887,406,992,589,
988,684,039,755,678,121,121,522,290,533,444,149,116,025,660,203,132,197,293,
132,994,336,574,351,359,792,443,683,005,600,893,263,413,185,564,663,182,030,
185,499,452,351,384,113,419,737,410,063,225,337,962,463,281,988,071,355,001,
778,620,323,067,301,007,140,360,543,186,984,444,085,740,085,949,406,116,384,
148,072,270,979,031,068,034,140,318,269,206,817,235,286,321,703,538,925,946,
597,185,324,057,844,183,838,383,629,460,347,616,224,515,925,458,651,592,982,
677,105,533,486,585,347,003,288,825,891,693,690,320,965,633,708,621,991,877,
514,461,920,859,123,490,767,818,086,236,089,061,112,739,686,610,444,902,624,
242,091,857,613,311,818,019,379,590,418,237,788,258,006,294,506,386,565,155,
428,660,807,594,203,474,674,396,612,188,849,485,270,278,509,200,675,953,706,
446,863,715,679,043,827,704,374,003,969,774,355,362,624,083,620,256,544,583,
199,004,459,168,266,241,668,229,783,010,989,123,232,452,882,805,993,503,525,
714,815,377,489,165,913,131,355,152,947,490,000,559,305,114,442,266,750,418,
645,924,267,650,333,564,952,903,837,386,114,258,190,447,303,649,462,558,368,
549,595,869,377,804,556,092,199,133,319,047,849,830,802,715,702,860,979,709,
771,276,425,745,507,334,418,958,186,595,852,874,624,379,267,637,878,602,828,
285,816,813,675,663,330,976,887,450,105,168,180,048,127,499,266,950,053,148,
166,367,038,989,732,541,383,504,601,811,393,675,111,160,555,707,107,983,074,
788,096,578,921,838,871,296,452,388,726,033,842,228,736,092,388,548,627,064,
572,596,184,702,795,698,958,832,371,067,116,511,486,178,274,141,104,901,481,
003,036,426,049,749,978,134,412,495,479,931,440,966,895,270,542,651,505,653,
591,709,803,809,347,033,529,712,489,405,677,293,646,630,079,305,476,597,502,
985,618,392,583,138,410,974,593,197,448,157,288,782,345,744,221,185,157,510,
775,610,416,792,626,849,697,147,912,357,686,759,730,390,471,681,554,467,870,
719,913,954,311,446,664,152,090,277,813,934,644,482,274,533,254,249,122,416,
871,402,775,106,139,236,781,736,532,714,433,631,056,047,378,275,150,108,169,
819,560,172,287,224,618,950,314,651,125,359,265,762,998,586,838,748,445,456,
573,354,639,241,596,396,072,973,852,570,351,538,416,759,649,135,434,881,327,
999,856,261,317,731,251,858,802,636,640,414,354,248,747,135,332,869,210,495,
592,840,127,692,354,975,489,112,655,549,364,009,785,850,187,832,296,127,669,
096,429,268,758,794,291,718,592,236,061,213,004,521,225,469,462,050,789,329,
207,261,726,612,300,107,552,889,349,499,365,827,171,781,921,248,822,966,670,
154,035,901,750,132,930,957,225,253,507,860,261,467,927,730,852,747,219,917,
781,282,357,511,084,798,375,802,553,052,812,416,571,107,961,884,432,871,180,
291,024,056,817,070,610,484,857,383,306,239,636,567,712,480,991,730,593,541,
093,444,471,665,945,359,079,056,495,733,543,813,752,911,236,872,464,334,406,
442,595,751,571,745,574,250,816,891,728,783,423,389,794,998,239,397,462,564,
923,589,817,731,990,773,163,439,218,416,915,005,531,978,603,594,154,472,674,
216,662,760,286,447,985,270,945,740,269,488,371,328,943,914,472,456,140,132,
271,514,954,199,304,726,763,460,933,941,566,648,114,034,103,413,446,119,007,
974,949,149,807,042,333,013,033,050,693,448,719,500,194,591,635,273,944,302,
310,587,690,079,750,482,874,290,770,947,052,792,435,444,969,863,117,465,387,
795,417,083,139,547,352,197,972,628,977,868,572,364,439,422,274,342,617,910,
404,352,539,699,558,064,850,887,409,116,834,920,802,178,590,232,889,145,939,
716,022,793,292,948,779,081,647,681,977,648,975,605,479,984,274,127,412,767,
585,462,366,704,972,816,370,890,550,419,683,216,199,623,093,041,592,489,541,
894,935,034,700,886,411,723,492,878,783,095,453,380,087,798,486,595,231,233,
228,650,610,117,644,126,413,195,975,913,299,982,322,587,167,000,311,410,865,
747,671,831,963,079,461,316,322,299,665,324,748,688,452,070,617,846,330,205,
539,301,135,157,900,600,531,874,826,364,184,943,863,077,265,220,316,115,968,
265,916,061,576,614,253,986,848,913,098,495,987,705,827,227,051,510,760,822,
875,356,595,093,549,250,574,453,434,941,806,890,565,659,319,847,289,675,036,
186,581,269,387,839,704,067,016,267,191,157,699,316,305,869,172,395,159,288,
172,292,350,521,325,169,788,389,942,571,643,110,056,253,535,098,263,291,299,
411,288,258,579,173,786,291,121,042,274,440,174,339,228,409,327,476,933,434,
372,316,421,535,494,399,090,127,150,628,061,649,978,017,615,001,625,450,194,
780,758,510,497,726,331,102,052,801,583,292,780,194,143,581,248,027,629,719,
923,370,342,344,437,760,265,048,203,327,545,282,223,172,653,290,035,949,114,
476,934,678,650,178,559,364,037,957,773,873,487,061,955,511,846,022,903,969,
077,633,729,859,051,262,222,324,039,273,815,718,952,027,800,039,009,559,281,
140,492,337,803,299,994,324,973,293,449,311,754,394,712,335,761,056,723,969,
073,496,715,061,320,607,380,759,047,018,065,782,125,660,419,711,420,248,505,
015,512,739,231,508,889,462,303,360,688,904,893,613,165,236,127,147,597,528,
701,754,329,316,668,075,518,448,040,375,609,276,848,908,476,570,751,336,715,
105,394,930,355,893,858,610,921,507,891,444,677,344,652,338,420,948,179,391,
796,467,276,777,424,838,398,643,817,114,122,980,635,781,065,823,334,086,963,
698,423,579,877,287,272,596,148,219,954,634,588,365,290,919,166,005,091,361,
856,720,610,959,459,540,171,297,500,789,160,434,758,405,712,837,246,451,813,
228,423,890,892,756,479,857,477,917,542,070,301,812,803,049,035,696,511,820,
270,163,154,485,654,164,499,806,229,250,013,443,931,818,144,214,731,027,047,
159,277,916,512,566,607,876,229,569,848,652,544,138,639,316,070,623,902,427,
949,434,074,552,490,875,565,846,954,747,181,880,206,651,060,567,895,984,443,
410,488,283,826,271,924,811,179,950,715,060,020,387,652,253,279,273,974,894,
063,861,996,305,579,945,417,912,138,276,478,279,130,465,107,982,765,512,891,
684,947,790,675,437,058,832,894,318,245,579,578,223,706,820,275,496,458,855,
759,876,793,681,097,748,742,564,060,908,585,369,780,343,667,257,848,868,206,
398,960,563,366,580,787,231,309,478,102,547,069,418,728,756,387,255,817,730,
879,704,959,548,014,755,500,544,017,255,373,682,022,710,977,673,345,701,133,
401,430,844,992,515,227,179,959,890,932,982,479,111,993,646,804,085,170,945,
767,547,020,354,227,947,803,287,891,039,628,129,089,392,341,383,797,951,074,
252,485,300,022,124,585,403,118,431,160,627,415,909,561,394,160,173,509,395,
298,562,528,911,322,245,837,850,521,226,365,665,630,640,394,345,793,134,496,
995,031,182,028,597,647,178,932,493,457,988,031,859,257,219,261,955,891,431,
005,320,359,717,591,077,317,919,501,882,214,004,890,226,057,775,659,677,925,
125,007,001,596,291,520,589,409,414,628,384,258,442,198,458,281,599,113,851,
197,698,520,000,286,558,530,665,103,906,933,248,017,959,811,489,445,338,232,
857,218,491,295,557,410,734,380,263,377,030,431,514,701,384,532,067,096,098,
134,997,477,873,756,815,151,544,411,539,758,806,878,591,941,766,287,675,609,
582,246,285,603,966,107,567,340,518,875,444,153,544,404,649,966,801,355,873,
962,638,839,330,144,555,022,595,101,013,142,768,573,605,826,790,268,713,247,
911,595,663,812,059,635,802,526,205,849,925,153,643,395,933,073,585,948,200,
470,048,880,760,128,640,054,853,345,506,153,025,361,755,935,677,783,129,021,
086,681,788,679,913,151,150,601,565,054,362,984,150,694,376,273,347,369,412,
834,856,066,565,499,520,472,652,865,343,332,707,714,961,517,384,193,169,914,
097,688,500,730,404,177,034,707,294,029,842,540,005,681,097,341,120,367,880,
498,920,251,314,747,597,866,276,431,267,284,742,733,643,897,101,434,091,541,
996,988,522,813,128,902,088,547,018,126,714,183,546,410,309,374,438,849,130,
848,850,691,899,461,687,750,824,646,852,953,770,491,344,607,806,133,919,003,
857,070,480,081,702,207,269,585,174,436,409,856,516,364,684,484,503,405,662,
934,318,227,098,399,155,766,126,823,962,526,544,082,151,499,744,088,807,887,
534,809,622,222,076,054,602,925,675,578,221,463,877,294,599,644,186,182,357,
326,744,419,579,341,933,936,061,575,528,055,219,785,646,155,710,336,508,622,
397,528,715,870,648,198,031,570,326,723,243,281,195,966,481,716,393,357,898,
417,230,677,209,579,170,691,163,810,969,604,569,091,213,232,801,116,487,139,
934,138,369,228,957,458,500,045,943,367,922,569,471,160,944,752,908,632,483,
512,099,796,570,385,430,723,618,558,085,380,626,105,831,558,355,222,768,556,
135,943,213,370,957,243,833,169,008,902,574,503,007,986,942,016,494,393,619,
055,379,955,901,507,715,048,905,641,714,213,981,775,138,410,813,212,903,801,
797,090,998,602,399,973,904,592,730,909,477,892,012,423,811,343,928,308,116,
633,185,944,684,607,406,298,659,794,746,813,893,929,214,837,581,609,265,394,
495,880,665,209,375,547,766,562,455,443,752,009,674,129,941,388,045,031,210,
384,516,545,877,053,427,186,310,923,016,284,212,913,793,132,995,709,729,550,
978,738,830,399,771,184,910,835,590,114,793,740,878,067,819,332,595,222,082,
086,473,489,043,356,397,636,352,798,372,742,269,920,593,941,616,797,753,204,
783,383,496,441,394,768,315,164,085,893,596,913,235,746,436,344,177,493,306,
022,343,688,004,656,022,238,719,101,012,351,590,838,674,146,770,189,640,728,
807,276,114,952,279,935,071,830,837,168,408,816,634,979,985,372,001,103,207,
413,681,615,367,510,295,354,852,549,519,870,195,912,236,520,415,515,339,317,
920,410,171,387,039,726,640,151,336,831,425,747,283,556,435,595,545,736,539,
178,749,249,225,760,571,266,899,928,035,994,415,733,023,037,981,657,493,765,
986,734,573,079,724,834,571,272,890,092,697,569,318,857,251,116,408,041,933,
161,965,157,796,886,081,585,840,431,533,465,462,031,331,205,495,511,890,137,
712,786,082,916,378,061,781,136,319,577,274,863,508,715,564,765,491,139,258,
690,672,936,287,433,199,348,614,770,025,681,186,692,797,114,389,623,192,684,
156,959,766,638,154,854,710,390,228,653,286,504,279,462,346,081,848,231,886,
901,186,112,388,256,599,609,669,100,200,559,608,257,876,050,858,548,945,342,
151,049,526,852,838,025,990,239,196,287,384,460,212,123,607,311,303,794,183,
851,417,128,806,940,873,343,255,787,483,053,241,804,844,546,887,690,302,663,
815,648,501,604,701,489,691,108,416,596,748,927,836,581,000,845,724,076,594,
990,811,551,978,959,063,381,075,229,985,198,677,410,323,622,637,027,362,124,
352,261,649,675,037,529,550,207,071,333,201,370,675,824,138,629,688,257,769,
254,665,145,247,530,725,529,478,849,583,439,479,734,184,576,740,283,215,090,
882,268,362,463,208,898,411,924,171,493,339,809,991,369,943,722,243,733,865,
484,574,523,978,613,602,617,272,769,404,265,029,095,435,761,909,582,282,445,
886,674,579,006,648,654,141,797,605,079,772,802,026,268,079,168,581,719,127,
549,136,111,228,627,031,203,272,227,517,110,212,896,537,825,865,691,594,522,
049,648,246,829,274,417,036,646,061,416,068,002,856,782,885,893,708,439,453,
198,246,734,293,109,368,257,928,970,303,544,334,874,054,176,831,766,023,744,
655,852,093,572,465,554,439,629,434,572,767,435,298,369,958,312,048,830,202,
683,832,065,124,751,780,693,924,257,116,838,081,821,772,404,981,699,105,741,
631,372,894,011,623,014,700,543,953,934,446,355,764,615,778,304,576,622,245,
606,405,981,224,563,016,656,018,392,509,545,988,503,425,916,977,105,612,400,
491,973,945,398,497,327,223,037,406,492,888,432,589,520,849,309,871,978,084,
089,625,080,051,857,750,786,877,880,100,766,694,301,886,987,407,642,824,948,
665,550,691,783,328,388,937,381,970,019,362,458,765,893,393,264,276,752,807,
138,981,206,251,392,282,126,450,387,325,547,313,026,889,461,308,222,786,162,
211,275,462,014,591,185,511,393,538,131,180,983,331,528,350,359,718,257,333,
283,889,133,664,134,688,005,560,755,483,567,247,033,963,889,181,252,877,951,
355,366,490,080,719,806,347,793,628,698,235,000,814,797,769,344,280,095,997,
538,115,980,770,814,076,426,313,704,999,324,259,529,506,432,888,035,717,191,
800,178,458,025,228,591,860,227,094,649,740,447,555,938,671,883,761,634,662,
608,616,673,959,922,716,820,596,277,127,349,766,754,770,616,266,463,297,832,
193,977,246,709,608,103,682,686,072,545,521,549,733,641,803,201,972,864,007,
310,429,461,109,681,361,497,464,622,180,475,215,696,120,223,985,612,030,591,
150,904,217,567,722,586,028,190,329,079,332,361,437,766,441,679,905,402,671,
301,550,505,151,425,686,737,636,644,308,776,963,277,379,087,885,460,412,922,
062,308,604,291,521,938,821,274,573,466,975,840,114,710,520,951,602,851,861,
823,178,715,745,300,559,627,496,114,981,984,906,673,732,584,377,958,301,341,
097,446,991,578,243,849,462,365,129,192,170,266,647,035,817,055,009,004,320,
485,740,394,136,974,430,413,632,440,661,004,560,463,699,816,461,253,120,842,
546,873,668,030,383,388,507,093,780,129,577,426,425,172,003,400,756,513,983,
163,140,682,281,744,152,927,005,034,168,612,919,653,956,806,541,132,865,429,
095,377,095,940,056,219,697,867,060,641,201,530,701,048,392,463,628,135,279,
321,110,190,088,141,868,404,215,296,274,347,619,380,472,656,226,610,096,984,
088,321,079,557,653,532,814,991,060,641,599,149,131,571,762,412,288,452,080,
359,538,072,069,154,003,084,370,429,436,892,368,543,463,589,679,487,558,865,
317,139,140,668,432,601,989,370,480,435,930,742,816,423,341,206,381,824,715,
216,466,418,301,979,089,190,480,993,640,427,529,375,668,810,466,123,020,954,
040,197,234,960,780,051,537,156,974,418,730,131,753,608,268,996,263,059,809,
696,928,485,572,738,305,138,693,655,167,096,355,353,974,274,738,919,482,756,
890,490,689,623,510,347,519,687,485,412,761,252,031,141,411,473,456,211,283,
969,043,846,958,444,876,847,294,822,957,625,919,025,852,536,766,921,634,158,
316,317,739,078,998,189,613,038,994,068,128,678,851,097,854,977,991,649,705,
932,870,005,631,606,110,302,243,118,411,290,932,697,834,623,196,258,786,838,
466,099,286,886,930,029,539,123,006,066,594,229,412,901,147,616,688,590,023,
076,139,000,219,241,212,762,635,370,952,510,221,352,210,462,049,206,301,866,
911,856,546,070,422,692,893,034,494,199,992,761,029,386,302,914,249,062,652,
558,061,772,124,968,250,462,082,507,354,654,766,745,688,904,091,898,296,795,
675,098,338,779,540,142,951,903,407,126,666,791,968,913,521,498,388,780,687,
855,464,666,696,143,458,946,926,008,247,413,338,215,335,496,107,371,160,736,
813,744,879,604,054,859,108,072,305,092,125,883,096,549,553,842,715,485,291,
122,744,001,502,035,670,742,878,410,926,866,745,198,665,935,916,372,651,960,
998,160,568,939,925,794,128,066,802,909,506,029,401,008,824,719,329,693,490,
708,099,014,120,658,289,790,013,850,140,440,587,187,615,546,069,037,385,617,
984,617,493,139,883,622,791,058,958,696,961,154,898,535,971,997,445,550,864,
725,477,599,759,754,494,880,927,359,989,522,312,161,283,753,950,034,660,638,
366,643,693,088,246,724,000,533,290,787,207,302,895,898,661,777,204,364,685,
812,837,290,334,307,443,541,607,127,998,412,534,436,005,614,911,979,678,923,
542,573,087,480,046,023,107,094,178,273,972,076,358,326,761,057,797,226,935,
469,683,842,270,300,910,626,408,832,671,700,504,840,427,194,732,988,968,131,
229,398,355,544,670,154,179,530,212,731,357,747,893,368,588,405,904,461,024,
924,595,221,329,367,925,543,067,693,292,840,126,837,882,508,732,262,771,446,
177,816,099,023,158,448,414,426,640,206,137,282,739,040,715,822,649,208,350,
066,264,612,355,389,063,911,144,671,915,468,262,101,004,847,800,097,783,843,
361,054,651,296,268,717,807,830,707,205,529,437,660,687,261,527,167,328,175,
906,732,689,945,848,550,708,324,422,685,974,889,542,599,443,020,988,130,382,
535,238,736,065,470,128,713,716,743,731,884,253,337,879,730,126,015,979,637,
354,652,767,697,392,526,512,688,985,988,752,930,572,364,654,517,225,933,466,
305,360,583,750,892,758,186,294,958,247,711,844,469,994,195,264,508,886,393,
875,704,364,673,230,991,436,986,381,651,989,099,125,416,807,439,670,775,957,
693,312,783,873,882,560,845,556,701,233,432,016,609,015,817,766,340,251,101,
830,668,238,609,896,555,168,426,766,924,324,188,735,236,089,048,371,420,434,
624,386,933,377,876,630,516,009,439,816,197,073,834,309,654,835,728,652,364,
206,702,712,993,009,901,422,209,088,540,892,121,922,101,999,039,856,331,101,
819,062,254,523,325,567,945,772,969,465,178,183,492,405,864,082,864,488,271,
522,163,204,036,144,263,228,808,249,728,875,423,266,417,007,313,004,813,649,
917,156,050,650,863,463,189,447,879,993,128,896,810,593,225,803,461,240,877,
603,696,378,734,666,297,229,719,606,676,722,618,793,574,577,825,541,127,534,
801,217,940,661,493,173,583,852,645,804,674,835,252,007,144,909,523,558,398,
674,641,385,105,402,298,963,147,649,050,532,725,106,220,839,781,188,809,616,
194,522,957,983,206,007,714,013,102,148,238,500,254,625,602,590,742,436,211,
822,929,377,815,442,221,514,045,676,429,946,013,372,504,799,112,896,142,228,
371,563,660,011,954,584,940,596,203,966,802,800,254,644,567,173,945,813,121,
196,991,303,943,435,134,129,328,770,843,574,827,490,771,158,157,114,015,650,
849,701,539,018,442,609,500,708,772,882,951,623,879,643,798,537,215,490,691,
934,758,966,733,441,378,951,086,391,222,990,439,295,734,838,018,780,367,744,
772,337,713,489,553,040,277,650,289,958,129,806,672,276,929,778,908,721,465,
451,298,842,515,391,173,565,709,786,847,376,820,731,917,991,333,416,916,908,
879,046,424,622,648,095,804,561,178,919,224,063,640,064,385,151,412,873,683,
091,951,633,529,751,891,467,457,704,738,131,065,017,200,859,097,820,956,277,
007,862,452,473,923,507,122,141,762,433,771,146,036,985,760,029,063,183,590,
784,748,083,657,947,557,136,543,985,116,086,341,416,053,497,035,285,940,151,
028,960,966,292,628,745,618,292,361,878,213,591,322,433,516,074,918,538,079,
473,708,697,595,818,323,759,903,404,447,459,679,120,508,562,909,283,170,891,
033,662,097,778,483,744,001,861,814,012,527,152,355,261,775,839,300,842,905,
602,378,018,860,194,335,003,606,696,065,708,365,116,080,754,060,661,557,457,
741,283,497,480,546,675,261,449,856,001,450,301,565,087,528,762,018,894,211,
326,271,640,562,615,314,967,068,798,634,464,103,868,915,933,501,793,992,616,
094,627,243,995,738,935,650,963,394,947,003,606,546,762,848,888,864,470,728,
624,006,365,841,109,423,637,989,837,932,661,331,455,225,005,546,362,530,512,
348,798,174,660,159,463,463,645,328,040,143,676,533,567,740,595,843,852,947,
566,629,336,618,329,972,380,419,971,301,699,139,372,820,069,764,314,520,045,
447,414,873,368,410,004,445,535,539,922,877,234,505,412,685,377,587,746,952,
622,642,797,727,569,367,762,911,254,464,324,706,376,676,391,585,774,389,587,
646,469,697,647,826,896,109,195,247,143,463,203,776,849,931,404,556,321,486,
813,984,516,494,299,150,189,952,412,325,439,207,107,681,263,025,214,187,438,
449,061,165,518,376,154,846,372,039,922,728,305,557,608,661,685,296,710,847,
377,888,114,718,608,433,230,512,072,650,618,098,797,059,246,001,950,207,896,
723,286,363,053,123,678,290,611,851,805,162,359,733,705,254,032,360,409,909,
382,047,043,024,191,378,639,206,162,004,664,136,910,007,542,207,311,051,539,
197,441,321,923,422,536,670,766,166,091,391,064,393,078,169,081,212,556,963,
268,465,478,596,929,963,011,688,578,758,567,631,771,645,278,058,030,504,607,
927,522,377,687,722,289,518,282,764,035,719,668,958,076,845,331,667,884,994,
211,239,609,679,047,568,967,887,714,665,112,331,729,176,356,954,885,778,649,
080,177,926,446,461,505,104,939,061,540,732,736,135,399,625,237,176,195,011,
159,194,052,937,643,712,925,601,837,101,515,202,830,618,956,298,751,834,764,
545,914,872,071,877,004,537,319,094,784,787,468,402,699,854,440,083,005,935,
671,263,803,147,650,077,033,475,190,504,454,575,547,663,235,151,961,440,963,
425,956,424,607,505,202,800,450,206,391,739,568,860,998,551,131,352,346,743,
951,086,655,179,598,484,460,031,521,373,547,453,506,790,371,095,708,512,412,
535,978,409,344,747,792,108,134,725,203,494,283,601,751,650,833,743,878,277,
913,110,661,211,487,976,258,675,836,400,952,335,798,924,652,396,633,375,764,
183,876,123,668,719,365,234,296,933,992,703,662,607,365,636,386,823,245,043,
441,642,278,161,680,348,217,916,063,681,560,623,673,548,943,550,083,715,876,
484,194,025,585,589,292,069,300,749,016,434,738,537,421,783,318,991,985,926,
200,222,984,282,808,204,140,337,023,698,374,188,120,011,929,159,927,867,883,
666,669,436,556,983,158,755,515,505,052,408,441,405,479,825,166,098,659,445,
024,083,871,095,811,909,969,209,302,498,755,554,193,382,215,348,242,031,210,
621,050,625,603,380,276,640,022,929,943,593,079,447,126,689,600,544,629,195,
114,441,668,106,074,641,803,226,720,312,325,488,941,742,364,569,499,104,335,
338,781,252,552,177,769,259,194,252,442,563,616,518,929,362,474,140,836,569,
280,810,553,492,276,288,107,064,292,476,000,002,591,304,209,654,033,832,810,
748,103,792,466,866,015,148,267,936,981,012,624,494,846,798,629,946,846,418,
060,344,708,761,988,613,602,391,364,101,250,168,474,632,554,116,359,896,732,
444,842,948,395,037,704,459,105,876,941,817,105,767,201,400,150,981,054,754,
664,146,687,911,721,597,109,911,112,134,735,671,545,836,210,406,447,562,179,
013,254,839,775,025,115,496,066,700,661,719,959,775,928,930,241,441,547,105,
352,718,532,885,051,619,636,271,241,453,382,689,783,782,689,706,772,717,879,
577,220,153,035,069,031,650,283,271,013,519,495,297,566,285,897,515,042,251,
305,043,312,399,941,386,325,572,385,876,725,177,726,024,111,540,957,197,033,
090,006,611,206,810,487,192,807,788,172,750,612,402,163,267,770,665,072,842,
377,050,713,722,494,018,875,134,493,303,105,061,245,264,315,423,331,262,620,
686,231,682,377,350,582,747,593,591,468,938,422,933,609,138,374,035,841,402,
345,184,454,055,808,518,987,381,927,866,920,183,808,187,092,433,902,053,092,
641,180,439,051,965,308,580,147,386,362,236,759,549,655,322,150,502,593,012,
540,257,593,334,451,983,194,051,624,802,237,356,682,177,951,912,428,253,053,
774,318,793,712,921,871,004,493,678,417,322,538,793,992,919,660,310,237,347,
382,420,827,824,426,705,053,331,239,851,544,451,778,869,397,222,911,311,358,
373,742,299,311,052,600,432,248,056,808,842,907,628,010,168,824,571,392,513,
104,059,121,446,675,755,837,462,278,374,163,139,774,840,298,895,715,842,526,
224,155,726,827,551,570,479,599,773,080,002,660,689,918,821,776,054,352,690,
975,379,021,685,589,446,462,605,745,161,887,302,311,532,043,951,537,779,143,
173,309,341,584,434,606,447,442,675,983,550,076,876,649,308,371,948,319,971,
794,672,294,749,177,366,794,210,183,978,296,064,531,435,043,773,657,582,690,
677,737,247,423,201,484,752,777,847,199,588,827,232,053,500,359,828,954,306,
567,903,575,007,577,188,931,437,386,336,372,703,453,071,616,481,564,956,280,
527,272,741,323,332,739,377,823,608,893,230,688,525,495,394,017,591,739,524,
931,944,590,862,013,853,762,827,888,231,251,767,986,425,612,456,483,943,475,
088,327,015,843,119,062,492,461,108,796,439,168,759,001,142,701,315,312,045,
638,049,304,907,367,139,319,607,443,172,462,356,025,895,709,341,933,147,187,
636,863,338,486,980,040,399,395,645,458,538,844,719,142,304,811,313,818,313,
892,950,319,080,818,661,722,135,812,381,149,676,515,936,760,671,342,348,863,
891,541,586,057,591,597,170,430,490,836,592,462,125,477,307,868,845,480,376,
201,997,735,760,035,409,673,714,379,196,523,667,899,526,030,389,522,024,243,
445,706,336,180,696,221,053,725,455,840,564,095,838,171,605,620,383,800,592,
637,788,771,477,497,983,505,272,018,614,616,350,085,080,620,849,926,385,297,
385,321,829,218,022,722,405,646,067,176,849,173,846,169,302,447,772,394,117,
753,657,099,632,640,751,079,467,876,493,108,434,277,773,597,748,599,811,658,
860,165,459,661,335,029,794,518,524,254,781,169,359,853,406,469,555,059,217,
915,446,217,432,345,805,550,346,319,479,882,148,779,498,951,489,235,633,265,
806,608,917,698,798,356,141,022,045,255,384,136,650,398,744,128,727,453,624,
419,768,502,179,684,213,865,015,198,371,427,038,668,830,446,385,411,769,418,
005,993,306,259,993,263,241,861,198,047,556,735,539,662,475,479,701,084,464,
707,830,885,766,757,325,174,929,805,977,598,927,546,340,327,296,961,323,671,
858,758,464,000,778,214,120,562,083,454,588,323,973,416,042,288,761,407,923,
215,967,664,183,245,650,585,168,920,017,434,075,521,506,670,602,012,454,110,
110,592,734,067,506,854,583,298,559,050,066,495,916,918,531,576,543,400,357,
681,049,179,435,759,694,640,310,966,221,483,361,052,599,068,709,032,865,372,
329,422,238,172,403,308,645,953,956,430,458,167,044,559,695,596,049,588,330,
911,658,140,429,424,722,376,436,505,897,035,965,471,762,736,236,017,161,109,
390,983,793,333,744,709,044,605,774,627,496,411,353,783,558,710,649,806,745,
936,501,310,729,444,570,976,561,689,903,758,021,849,685,236,594,968,303,842,
601,943,494,298,701,197,476,506,144,749,034,393,190,445,952,746,392,721,935,
167,080,287,390,763,342,279,832,548,069,495,289,671,906,856,457,247,752,755,
488,254,077,988,709,719,535,959,805,379,529,211,127,673,198,878,683,787,686,
266,159,946,349,824,475,673,473,474,091,940,546,045,004,976,331,237,660,356,
415,104,228,409,931,192,708,030,533,883,912,672,629,428,946,602,175,018,697,
583,930,531,633,966,688,245,718,076,985,592,537,053,895,293,675,694,011,485,
250,742,577,068,387,831,184,602,817,852,983,115,763,752,368,018,917,890,821,
210,499,126,192,364,073,680,583,995,513,738,503,770,306,347,319,623,177,774,
184,475,504,325,692,225,388,117,332,971,708,474,872,436,673,078,409,310,052,
852,082,057,724,534,190,678,055,053,447,945,179,140,948,414,604,677,569,261,
678,515,834,152,190,375,155,314,393,336,956,429,276,530,747,937,538,882,973,
472,015,521,031,853,617,107,909,144,843,708,604,126,436,529,678,182,355,073,
982,056,867,278,663,224,261,399,834,261,046,624,559,383,133,060,638,822,205,
567,456,084,967,752,833,909,708,981,428,941,980,507,347,730,720,231,110,524,
027,772,132,368,440,236,878,392,610,821,127,547,559,280,369,742,616,077,831,
337,995,174,767,942,101,343,229,837,974,656,536,608,195,458,452,714,077,762,
347,136,303,964,988,767,103,587,440,210,000,779,750,820,619,359,191,586,691,
227,090,863,725,905,711,966,661,301,440,311,446,673,873,041,707,448,479,451,
002,932,268,602,744,053,412,037,519,909,138,296,408,684,113,112,925,710,886,
754,292,452,094,167,167,490,731,311,793,063,885,526,289,718,476,317,548,558,
912,309,286,889,645,466,266,389,332,968,811,306,213,962,875,440,069,463,036,
479,078,250,407,711,286,402,948,454,749,787,513,525,290,362,687,296,718,821,
863,556,230,547,005,258,301,579,164,930,483,287,015,963,408,085,361,822,503,
454,282,696,736,682,952,937,382,366,956,693,692,894,222,512,654,941,681,329,
829,798,999,972,095,406,418,900,442,003,387,438,008,533,051,642,952,460,663,
938,580,639,257,544,574,504,698,427,956,660,300,105,568,317,393,783,692,091,
211,508,597,799,861,026,666,157,395,275,095,523,377,657,127,047,769,287,241,
779,546,621,009,944,157,558,864,996,595,222,684,966,005,464,479,848,576,063,
963,857,619,452,363,553,711,801,689,416,482,231,020,955,602,548,818,293,853,
778,217,981,767,081,696,700,441,249,779,913,720,813,134,413,269,405,383,895,
330,606,480,672,105,466,824,464,702,076,277,758,102,329,785,891,279,336,965,
404,729,109,486,787,657,517,722,752,272,653,237,419,199,399,248,402,202,374,
495,639,866,011,980,971,017,325,446,383,071,723,874,879,447,955,139,391,691,
066,799,350,400,600,834,757,085,020,525,765,762,330,676,276,806,941,850,945,
119,922,682,293,619,447,310,206,972,906,175,399,104,559,030,410,067,823,469,
189,447,483,455,840,974,671,974,548,222,569,708,859,720,998,240,278,192,330,
239,684,329,170,848,428,853,159,163,074,528,108,628,014,194,143,898,635,345,
093,340,335,187,575,404,293,946,595,182,735,611,288,835,022,154,541,579,705,
018,341,646,567,453,093,425,213,155,566,295,773,249,116,427,801,561,566,604,
830,095,201,131,843,868,239,355,087,655,316,840,180,641,143,244,892,572,172,
046,886,592,760,357,006,013,703,824,148,126,969,640,894,684,138,478,790,852,
965,832,763,732,769,069,260,276,797,816,046,457,600,761,753,490,289,072,597,
821,653,273,362,670,076,365,874,131,526,379,640,465,402,501,500,215,526,920,
901,084,175,308,689,195,490,115,839,728,596,144,057,771,459,009,970,575,434,
977,808,182,586,724,621,310,103,376,710,370,381,024,309,052,750,389,304,635,
437,836,910,407,464,540,592,582,667,089,219,615,081,264,351,677,306,988,731,
862,407,059,033,286,455,825,166,341,918,160,405,371,973,115,386,410,297,318,
156,124,257,030,818,431,290,798,592,005,741,696,987,537,037,860,171,258,134,
875,999,309,484,398,881,404,583,634,408,559,504,868,943,620,871,408,924,976,
653,485,467,497,148,232,079,023,237,919,517,957,829,707,289,036,540,383,197,
077,109,435,144,160,672,937,787,365,513,223,384,530,568,002,546,667,585,699,
682,478,547,261,457,197,632,181,398,349,053,808,806,924,069,352,953,302,265,
228,361,396,829,361,931,175,110,665,386,628,239,980,855,415,187,462,661,663,
556,829,468,704,443,645,003,386,132,223,612,886,188,385,886,442,216,005,506,
717,911,060,899,367,838,638,555,035,607,402,361,622,674,350,439,052,408,463,
210,313,168,124,310,868,428,804,969,690,453,678,104,064,826,295,843,084,521,
420,230,989,803,732,467,861,794,543,726,338,606,850,569,579,889,677,306,483,
571,047,694,071,306,114,809,766,174,995,915,902,944,836,413,434,257,089,724,
381,520,799,080,292,294,776,608,107,963,965,368,766,894,236,375,527,275,797,
174,691,174,048,953,286,740,020,872,721,638,370,882,733,136,863,074,587,346,
976,675,473,056,461,529,112,299,659,935,645,463,787,126,010,826,864,635,689,
942,970,360,119,244,533,895,730,199,606,532,415,437,188,065,970,472,548,635,
508,427,966,938,609,701,488,242,895,285,008,389,711,243,246,726,807,240,382,
251,692,303,847,889,849,880,306,680,411,938,759,439,424,194,059,007,851,637,
021,762,928,380,955,666,290,367,300,831,599,787,444,609,572,195,557,086,046,
235,232,608,314,064,289,407,371,839,898,451,829,053,672,269,933,867,306,572,
277,724,596,269,744,047,682,086,674,010,508,932,439,938,642,908,214,901,053,
025,227,305,322,003,625,282,987,673,552,388,415,135,879,431,649,473,216,681,
052,363,465,275,377,003,664,431,712,078,983,712,685,977,457,883,280,636,394,
022,984,259,507,127,398,551,936,336,222,011,783,930,071,093,529,627,454,273,
351,563,036,642,091,700,874,319,365,199,045,808,774,059,345,725,453,345,713,
512,132,721,557,028,520,542,577,954,211,975,559,091,163,646,811,246,651,853,
785,780,225,663,037,528,043,214,315,858,893,716,856,909,467,189,862,448,758,
852,361,674,674,106,915,181,477,647,738,674,604,751,582,512,339,020,055,243,
682,209,138,719,962,742,847,561,218,511,784,861,388,045,584,051,173,028,950,
299,728,602,532,397,283,528,808,284,600,678,711,297,756,782,058,218,094,218,
554,997,221,710,720,931,908,935,673,150,582,773,938,392,089,044,579,139,372,
538,921,626,439,007,656,616,711,116,470,794,023,881,400,203,885,017,944,119,
740,325,963,801,502,547,775,180,233,650,998,703,028,480,458,183,477,712,629,
931,910,060,817,622,499,959,276,127,084,240,497,598,806,448,778,256,371,637,
823,803,228,427,690,112,381,531,712,414,523,357,575,389,104,305,808,698,281,
353,130,097,763,764,894,489,822,012,028,801,835,952,966,148,397,610,097,487,
422,564,385,202,680,292,254,129,449,436,290,859,562,636,017,164,228,002,967,
623,837,709,488,318,205,518,493,670,416,392,158,711,493,484,718,350,360,192,
752,311,109,422,130,865,221,598,909,239,108,970,226,529,117,995,297,099,621,
039,589,481,169,607,214,342,835,690,474,900,987,199,333,149,681,889,873,666,
217,783,382,640,163,108,501,301,949,912,903,684,852,773,317,984,293,166,398,
559,471,010,445,499,785,536,706,773,717,111,718,056,042,197,119,197,135,097,
941,059,956,918,644,506,177,080,167,181,765,790,989,422,962,119,602,297,889,
055,505,566,041,861,245,607,233,762,305,354,745,097,574,809,244,474,121,806,
829,651,334,126,146,673,679,822,399,958,719,633,795,644,307,117,057,006,002,
967,278,902,147,219,098,914,040,094,711,734,725,261,479,227,095,805,311,259,
650,267,521,634,556,129,490,933,438,493,149,850,376,130,103,611,240,051,468,
224,454,726,176,551,603,751,767,042,755,521,646,615,755,719,349,300,668,998,
625,887,461,707,684,525,433,683,631,722,397,916,334,266,796,168,727,585,790,
515,369,118,784,784,250,819,312,544,722,028,365,236,964,242,494,729,476,712,
735,494,336,192,625,446,493,133,364,894,421,454,791,888,035,547,873,168,321,
448,455,348,651,801,364,623,112,432,332,128,560,232,719,821,880,942,513,238,
710,540,115,201,811,534,095,859,818,193,519,789,165,688,251,005,709,921,513,
779,094,372,353,299,619,301,638,166,181,024,560,554,719,273,593,583,703,972,
507,444,741,921,763,491,733,630,303,948,148,999,499,831,834,082,851,351,501,
961,011,323,692,971,426,106,043,710,947,320,906,311,575,908,355,961,545,804,
858,364,956,922,646,705,417,765,324,764,232,484,625,708,753,469,162,230,785,
147,948,724,796,510,675,956,733,812,960,887,157,199,327,948,664,627,319,376,
856,861,866,967,891,855,332,827,773,043,253,152,732,121,196,238,677,372,696,
789,723,602,374,021,253,162,498,748,921,599,926,543,525,871,527,882,319,676,
558,355,910,288,692,104,284,181,562,281,309,994,100,571,787,800,836,706,531,
246,240,368,278,906,562,253,442,792,308,452,431,261,246,577,947,854,630,665,
077,485,654,787,543,094,043,387,121,018,643,029,853,844,436,058,843,515,617,
760,610,735,773,509,926,206,011,401,890,353,934,532,953,535,895,227,122,063,
515,566,752,133,487,078,671,001,396,996,767,652,715,571,964,100,812,794,851,
351,611,419,216,366,801,630,896,881,823,184,276,092,467,541,512,637,261,057,
383,767,557,341,846,979,181,155,634,127,491,126,430,972,247,893,368,778,355,
213,055,145,961,279,115,077,478,373,014,094,080,484,141,085,688,689,204,262,
096,304,131,344,515,950,934,364,069,937,703,346,803,464,128,672,352,556,964,
403,209,862,620,347,532,409,640,751,147,280,368,577,231,332,121,193,750,863,
420,309,917,409,840,663,504,134,397,317,315,704,426,737,942,276,050,501,742,
457,300,636,539,677,312,302,923,754,580,596,472,672,812,306,895,268,422,039,
888,799,537,719,691,691,065,749,831,473,381,805,363,249,969,087,956,060,696,
890,197,400,786,482,702,289,458,294,205,437,282,081,602,039,827,745,968,743,
872,440,505,928,643,131,474,934,112,522,003,831,973,103,110,273,095,077,040,
430,441,074,251,051,492,329,092,761,771,457,135,419,621,420,328,222,506,344,
300,134,126,299,863,377,581,927,829,604,151,481,599,304,298,149,365,524,547,
726,444,078,640,233,707,867,379,397,712,961,513,644,452,182,366,752,062,445,
613,134,241,394,197,050,969,198,172,360,996,582,206,210,481,784,075,249,926,
707,071,623,888,512,648,149,216,059,370,767,236,395,433,818,805,933,637,340,
910,939,870,912,234,830,426,030,474,565,198,642,988,533,028,595,797,092,378,
667,052,998,837,056,192,979,101,610,156,197,121,730,868,830,281,149,554,374,
556,256,250,063,688,747,603,854,736,731,795,266,383,519,329,741,352,023,066,
518,622,346,708,772,388,334,978,223,474,811,506,605,778,106,902,156,257,973,
267,640,963,386,256,517,634,983,207,834,155,285,094,075,836,997,381,609,096,
277,014,895,675,455,882,404,772,747,991,300,096,210,776,112,571,079,756,441,
873,791,984,371,051,598,844,440,655,745,788,367,719,078,786,442,752,244,139,
082,146,090,230,587,613,480,515,425,324,640,221,805,003,812,579,968,172,351,
467,621,339,148,104,906,598,948,844,605,855,251,108,542,098,833,633,865,338,
785,133,618,228,188,912,927,023,067,891,366,822,195,058,184,209,803,887,298,
820,137,242,652,797,062,599,483,446,991,303,289,498,656,067,233,091,886,994,
312,814,952,502,475,374,807,546,061,291,958,534,584,317,377,749,357,007,152,
831,397,855,485,061,539,850,305,421,615,604,855,551,058,977,347,924,406,918,
543,571,239,339,898,008,836,810,136,013,978,937,270,113,424,827,128,628,965,
504,881,610,998,175,312,413,781,107,453,855,822,487,216,376,385,187,786,361,
413,149,859,606,339,886,817,799,490,506,246,411,811,465,760,987,287,018,389,
946,245,590,095,880,031,196,145,633,515,412,028,772,467,210,181,759,224,567,
497,794,190,256,986,107,338,859,304,785,027,388,835,745,561,484,773,554,178,
767,009,069,854,591,895,033,325,195,815,020,538,523,891,871,916,019,856,238,
135,740,101,271,218,310,932,598,640,532,167,455,212,754,557,371,536,724,686,
483,613,734,184,441,434,891,338,296,916,287,027,987,336,902,702,859,819,298,
394,941,320,475,541,565,602,115,437,707,513,783,517,634,918,353,335,721,690,
657,748,165,184,496,047,402,663,277,629,542,122,950,950,863,402,267,831,526,
914,904,216,093,207,164,002,144,876,362,015,381,177,812,120,329,462,172,953,
940,157,473,130,223,595,416,649,528,336,878,395,067,990,107,225,438,803,979,
359,238,320,589,990,590,917,753,285,169,970,161,745,696,270,713,873,122,670,
701,117,350,004,675,027,421,826,359,241,033,522,236,818,307,521,851,033,486,
949,099,197,324,316,859,176,107,266,994,121,763,688,000,782,580,882,963,270,
459,121,803,928,294,308,243,434,799,982,696,751,103,696,735,687,713,717,509,
147,180,856,998,008,999,520,996,359,884,723,111,868,882,734,837,359,568,371,
998,843,586,598,329,038,640,234,810,312,450,307,494,224,528,983,648,392,387,
993,239,097,696,254,746,415,841,084,235,554,602,677,834,509,864,948,963,554,
827,216,054,726,306,240,916,625,967,481,130,581,479,754,296,050,763,902,301,
571,179,891,003,111,155,870,204,122,745,582,743,541,363,631,336,405,815,566,
965,152,757,547,471,277,116,503,754,048,836,714,117,229,538,826,873,567,783,
273,371,437,696,788,195,359,417,264,901,644,621,577,045,740,524,868,250,401,
956,366,037,789,960,858,542,564,702,870,287,260,484,979,012,019,908,786,695,
002,542,276,679,307,499,562,795,331,949,649,389,226,809,310,936,748,156,621,
081,875,190,743,280,707,868,515,363,210,698,121,633,511,292,395,803,495,935,
914,140,288,614,229,312,841,767,568,493,076,025,505,048,977,745,013,197,446,
070,428,753,588,202,806,188,845,815,798,206,414,380,927,554,413,706,778,997,
322,922,644,718,480,952,245,082,185,077,467,171,610,188,795,790,567,814,921,
547,248,447,878,461,263,158,618,762,237,773,893,721,792,150,479,607,824,362,
631,454,716,743,074,713,778,297,714,605,338,649,893,411,009,477,112,408,826,
463,542,169,495,252,178,850,194,614,087,950,368,533,947,585,296,834,094,314,
528,315,925,620,282,396,236,687,155,852,930,199,533,857,405,072,353,807,206,
494,457,783,803,056,845,024,290,721,016,134,127,046,253,360,826,277,487,556,
231,584,478,619,207,536,960,284,898,936,781,778,304,810,127,374,280,086,429,
340,205,488,718,080,068,544,341,337,478,481,342,269,403,113,227,932,130,851,
486,248,262,843,031,178,513,506,915,845,432,439,600,469,670,048,175,907,408,
374,527,220,283,699,701,805,923,751,184,137,949,843,098,108,150,707,049,792,
546,112,802,570,452,842,304,552,665,964,446,331,154,280,703,065,696,723,982,
683,696,491,621,399,008,811,827,268,311,305,266,946,698,965,900,925,097,567,
696,605,771,458,772,212,004,864,569,867,329,397,773,766,220,562,763,869,164,
838,437,436,006,965,049,739,889,828,680,010,265,231,918,318,549,052,548,173,
589,825,929,292,676,926,037,308,974,512,944,520,135,764,469,609,795,620,114,
927,748,576,952,795,607,530,568,565,636,246,976,487,540,076,741,057,604,616,
278,985,361,462,378,795,980,958,605,283,272,842,585,478,615,382,813,087,188,
259,219,737,117,122,058,239,367,433,099,490,719,829,622,129,012,401,812,522,
851,652,066,839,940,343,808,947,742,133,265,660,687,857,603,490,652,983,854,
728,412,562,556,659,534,404,765,935,089,200,616,506,534,631,809,775,914,270,
942,860,243,274,811,563,021,884,090,579,830,625,753,840,716,670,644,578,582,
627,671,742,826,245,607,776,099,941,699,181,397,246,986,108,282,119,703,419,
692,637,219,548,194,761,284,197,280,165,447,198,848,952,331,896,698,061,928,
584,926,915,887,254,754,447,405,259,986,874,304,164,936,001,767,788,433,835,
433,925,102,322,096,168,105,160,713,210,556,812,223,185,077,684,261,756,451,
763,018,074,567,880,966,841,587,077,466,107,929,985,218,444,522,448,467,126,
444,289,752,877,496,920,440,772,641,354,498,164,199,284,474,442,184,152,032,
005,809,852,686,243,239,840,066,208,962,703,139,996,358,265,293,226,898,142,
568,710,767,281,428,328,025,431,816,463,594,319,462,639,696,425,125,073,408,
984,152,110,787,013,856,702,235,029,438,017,652,089,172,402,651,433,143,958,
906,984,239,461,113,055,229,896,477,889,295,372,803,493,342,931,488,981,613,
358,318,963,666,068,544,325,636,934,747,163,961,062,288,746,961,750,787,040,
821,132,136,106,971,840,837,890,342,236,803,641,358,630,791,217,519,723,123,
403,441,149,753,742,037,150,737,096,512,266,672,730,986,183,810,889,410,055,
179,691,031,817,305,582,439,926,922,207,854,857,383,350,506,958,909,446,472,
762,794,209,962,398,894,572,059,359,198,723,843,879,980,971,518,169,395,648,
700,114,650,577,849,281,406,934,243,005,953,748,029,447,644,693,140,560,279,
210,788,021,886,835,318,611,622,839,833,261,284,806,838,256,710,931,410,376,
306,606,903,265,865,766,656,889,367,012,392,210,014,018,358,451,286,541,571,
250,451,107,814,831,334,624,257,292,035,374,608,031,862,582,024,802,865,393,
642,483,782,157,498,320,703,759,850,962,723,202,821,819,145,021,164,914,095,
032,131,370,622,911,839,810,453,317,023,231,068,487,108,589,894,737,329,859,
400,038,532,952,387,182,384,464,521,967,229,269,978,525,400,807,644,803,692,
984,839,479,239,958,997,878,107,013,117,704,141,231,203,976,843,804,546,290,
233,699,170,127,041,175,712,395,778,233,759,442,264,976,003,765,619,506,466,
247,502,828,608,904,185,709,262,627,964,944,405,532,024,369,671,242,812,660,
696,977,800,174,726,702,067,187,765,734,535,840,114,055,929,068,262,908,992,
941,054,639,833,857,602,032,035,231,926,700,322,797,303,126,149,798,487,657,
147,165,534,458,450,016,854,463,769,775,258,380,618,749,149,836,096,147,689,
320,798,318,748,692,104,620,476,389,990,195,687,583,726,427,559,643,750,532,
330,793,258,503,587,356,319,773,339,855,197,978,492,624,374,773,726,744,161,
936,196,195,259,824,774,592,103,249,678,949,741,603,395,491,265,025,273,301,
264,420,952,815,859,017,902,436,821,682,704,647,681,076,903,308,618,881,335,
128,146,517,159,649,435,593,688,067,825,215,609,801,112,120,519,635,308,883,
322,238,984,396,436,852,041,433,842,254,451,612,924,727,102,823,891,003,239,
834,975,764,433,689,342,265,292,412,004,064,628,075,678,946,130,756,398,178,
496,716,732,793,365,817,735,690,191,987,019,921,774,476,586,387,778,989,773,
177,847,705,146,306,785,753,671,680,321,508,761,657,690,359,538,706,039,737,
763,766,394,244,884,992,808,486,903,998,230,465,666,390,890,625,896,945,391,
642,913,276,411,339,667,735,066,181,169,281,030,169,825,041,560,321,098,933,
973,270,342,040,247,551,181,628,650,702,017,162,247,480,445,306,015,448,595,
600,997,441,242,918,952,581,620,280,557,440,538,754,180,912,568,782,424,702,
785,886,706,498,719,581,303,113,485,812,095,379,706,114,838,551,250,691,752,
868,655,131,938,002,325,390,375,477,856,950,305,827,824,523,720,369,849,315,
161,252,215,290,444,619,745,136,799,521,535,044,921,581,808,166,127,175,060,
691,172,197,719,840,516,158,169,177,360,553,347,632,980,459,173,011,947,841,
864,221,334,385,156,378,229,849,929,833,742,754,829,134,155,723,571,111,191,
729,224,680,141,577,558,393,388,046,938,485,966,402,003,355,257,378,380,449,
439,289,055,290,245,384,578,253,319,474,941,174,036,352,788,382,910,529,609,
592,907,875,647,026,291,639,270,034,204,957,011,747,840,495,687,271,599,483,
199,444,435,621,541,578,099,405,394,658,743,114,715,294,225,926,941,682,737,
597,365,562,578,583,599,419,178,835,746,506,481,729,802,564,400,037,144,108,
606,882,556,292,608,055,842,364,446,120,007,704,846,915,589,657,433,477,989,
248,306,470,497,388,873,632,390,849,254,306,220,407,613,220,404,037,880,228,
695,040,275,809,956,185,980,915,578,592,818,542,220,787,985,823,763,547,993,
920,375,193,616,531,593,796,626,422,263,865,566,341,929,319,666,025,470,679,
783,394,201,422,062,627,271,178,430,404,400,503,035,751,279,720,759,686,054,
569,036,049,999,801,167,058,105,693,163,234,859,635,594,709,881,092,685,922,
413,059,752,278,582,479,368,183,340,552,190,448,779,935,577,007,290,886,909,
801,358,749,325,375,593,133,811,333,100,676,054,944,725,167,355,262,857,055,
397,104,700,771,570,255,494,420,692,796,676,448,641,264,963,796,525,131,987,
605,751,766,892,803,455,252,075,259,923,221,182,462,447,672,263,602,581,164,
391,671,191,334,319,014,802,723,095,824,105,136,823,498,212,471,618,416,791,
952,292,373,227,198,572,701,642,097,819,555,586,123,451,774,358,172,286,193,
721,396,729,849,548,170,479,788,226,328,020,429,246,968,741,157,238,583,216,
903,378,695,827,481,617,038,912,012,236,981,789,681,132,251,922,535,509,414,
068,962,264,897,594,149,335,449,067,750,458,976,434,443,285,004,323,454,540,
262,271,045,348,480,571,799,129,202,906,243,222,462,237,182,621,184,413,006,
220,533,411,394,301,846,657,624,985,765,737,851,357,540,199,812,736,038,738,
100,256,051,162,372,127,699,541,271,677,434,907,762,352,233,955,462,925,548,
135,382,951,637,161,032,801,280,726,674,592,415,865,820,541,227,795,537,978,
222,091,120,718,422,558,324,988,705,983,468,107,533,376,433,377,695,141,463,
894,712,856,437,446,467,136,947,480,759,547,171,139,577,341,808,874,418,681,
590,917,945,424,773,247,835,959,368,743,912,569,697,011,853,931,251,865,009,
574,168,320,098,935,454,027,639,226,248,717,416,791,226,860,755,409,861,294,
743,943,275,011,038,238,346,712,094,082,098,709,498,206,674,814,833,351,657,
785,682,081,538,136,358,624,937,328,786,213,570,290,511,442,421,880,869,798,
260,686,121,948,041,990,632,680,183,028,737,463,938,631,623,950,245,688,893,
400,987,017,096,144,484,480,661,958,046,374,467,277,592,302,361,058,507,579,
386,276,906,555,435,491,070,075,573,857,421,564,786,172,914,771,384,893,721,
930,250,440,063,736,825,153,753,444,085,594,156,594,326,179,602,184,783,496,
114,176,781,693,337,839,545,821,899,924,339,098,365,464,082,538,787,406,070,
388,121,935,927,895,770,095,608,388,100,466,694,148,115,382,150,136,722,689,
375,059,312,166,144,034,314,622,186,213,703,440,905,054,936,789,828,051,160,
550,719,714,092,556,578,777,737,821,127,400,178,579,550,127,118,322,015,081,
653,825,235,089,621,125,597,294,041,538,691,293,321,733,056,189,509,101,381,
506,913,738,944,843,621,909,265,852,988,886,239,521,394,589,872,382,399,082,
558,057,418,103,776,913,984,342,040,601,866,167,675,610,649,569,321,110,861,
355,134,997,745,660,050,812,413,934,536,255,671,239,831,260,572,284,344,066,
916,437,659,537,194,973,994,504,919,351,089,055,531,572,357,940,141,566,236,
312,054,698,254,182,054,723,345,467,268,376,418,355,640,249,771,783,751,322,
939,324,087,196,593,200,863,226,639,595,081,133,621,459,442,129,511,541,800,
489,075,021,329,639,425,594,472,861,307,073,399,768,392,312,068,029,240,066,
059,056,993,379,385,227,889,082,782,791,878,087,997,216,415,310,373,989,949,
425,360,680,605,916,338,155,843,905,207,103,810,373,001,228,468,410,929,943,
809,674,744,193,416,423,685,501,905,066,334,840,456,409,080,570,075,437,037,
450,107,066,654,774,925,391,914,803,056,425,155,168,508,249,161,662,802,325,
391,385,315,293,113,483,041,912,946,081,394,288,588,383,868,684,790,740,959,
538,390,145,209,049,791,069,254,100,047,662,300,743,298,673,117,700,396,440,
298,691,674,884,700,521,822,885,072,519,891,031,652,618,150,203,850,880,604,
711,620,945,494,081,807,249,192,082,128,273,277,982,588,879,105,480,300,550,
218,836,816,542,382,568,042,893,201,418,697,634,449,260,403,830,666,872,752,
397,003,630,060,505,910,930,680,576,094,827,377,426,308,457,027,256,431,157,
559,349,439,301,263,812,684,328,181,846,862,379,986,467,440,198,234,728,413,
616,341,302,906,596,429,969,509,473,947,933,160,781,897,462,239,328,398,541,
966,891,649,830,007,360,086,100,514,726,718,657,342,961,242,999,644,827,785,
604,188,685,013,136,773,669,681,572,641,089,397,446,100,301,085,179,707,075,
964,561,754,397,642,878,796,462,763,501,495,136,801,791,848,208,452,805,017,
772,484,355,423,670,667,431,800,126,332,286,828,583,792,551,608,514,452,476,
381,352,866,913,208,841,644,035,928,181,128,443,737,513,095,330,585,947,796,
542,924,473,062,177,238,502,311,572,762,260,893,601,584,352,285,393,828,342,
932,446,323,265,621,506,539,983,799,099,658,492,315,899,494,857,489,668,054,
197,773,245,611,723,508,140,069,607,945,967,997,759,260,323,946,130,534,348,
989,930,909,084,328,387,635,485,851,358,308,288,713,854,082,571,404,657,857,
753,414,902,491,445,001,759,035,867,926,771,952,664,120,414,500,079,847,873,
445,104,703,849,442,272,276,238,702,087,327,986,911,041,156,271,018,387,816,
072,866,288,837,272,364,241,507,737,565,528,109,984,712,393,686,501,470,860,
214,709,648,634,273,129,072,394,639,308,521,164,570,220,367,825,168,547,247,
297,661,769,402,303,450,600,400,108,446,041,470,266,558,527,894,605,796,490,
434,617,068,710,414,457,889,484,142,791,717,700,472,896,765,905,853,298,141,
214,700,496,428,462,898,256,503,749,165,891,475,800,018,481,358,961,082,150,
565,121,054,276,352,629,967,550,880,595,865,214,403,101,174,438,973,883,319,
583,799,772,193,026,155,651,275,729,188,193,551,431,443,828,322,388,368,018,
943,581,962,779,030,684,977,196,808,121,107,725,632,532,375,179,729,335,097,
609,599,116,286,300,344,107,640,013,973,941,744,538,886,317,466,324,523,647,
330,505,529,731,590,622,662,493,779,611,399,684,532,187,608,472,096,826,952,
845,497,765,750,993,709,925,329,018,323,395,095,855,108,535,400,893,612,560,
628,161,616,560,771,497,098,176,853,642,353,402,908,620,876,121,722,898,051,
634,856,420,974,411,531,931,985,238,252,825,889,564,742,575,340,117,632,038,
495,617,655,043,147,475,084,381,656,137,704,224,108,910,803,133,308,841,518,
048,544,169,125,177,339,251,657,086,111,955,251,088,315,214,588,468,435,897,
178,553,137,095,406,018,845,527,280,094,829,227,415,598,295,802,618,813,379,
039,247,734,778,733,354,071,627,161,346,267,889,365,640,308,003,392,080,012,
737,995,040,916,492,223,482,977,921,057,021,348,196,150,258,838,973,642,250,
643,530,198,590,809,825,551,698,770,195,874,668,614,675,136,426,489,486,642,
197,092,923,418,358,619,575,261,995,179,472,724,393,274,939,047,991,000,048,
999,376,290,941,298,938,079,154,802,266,336,253,957,438,897,301,263,315,839,
484,406,113,063,629,232,746,370,890,063,699,564,597,865,813,667,488,599,894,
420,465,991,874,283,696,568,454,207,047,828,114,790,597,206,887,384,729,215,
819,906,706,056,664,796,547,104,179,836,361,347,106,279,695,604,062,300,500,
983,600,812,212,045,739,737,456,252,021,712,510,400,282,381,023,511,820,234,
911,512,906,454,941,460,974,001,461,783,968,824,974,171,258,880,458,526,283,
772,054,653,345,475,769,160,222,513,178,903,688,289,095,024,217,102,960,264,
010,221,401,227,832,581,358,887,033,853,559,055,807,549,123,688,272,990,647,
375,317,096,785,306,521,064,324,808,705,873,910,984,433,659,828,794,519,002,
579,584,129,695,755,154,147,916,997,803,679,058,271,345,704,891,514,087,413,
512,186,374,645,018,231,115,982,862,402,137,006,129,217,634,888,284,317,822,
810,547,237,027,929,345,852,049,710,995,189,458,976,516,907,213,190,436,851,
096,525,945,202,332,008,805,419,612,742,393,738,638,126,886,777,036,779,668,
288,536,069,607,953,102,178,401,388,729,756,417,769,141,306,258,687,625,666,
774,608,636,708,880,916,788,186,201,046,757,854,272,343,572,452,743,300,395,
535,268,601,223,474,037,880,770,901,291,154,161,286,668,039,920,204,063,936,
599,643,436,369,101,029,489,850,045,970,830,980,392,121,983,472,483,110,580,
085,840,079,179,019,692,560,212,123,366,395,046,591,760,073,972,433,492,775,
844,237,569,189,683,239,706,073,431,467,935,142,075,854,152,102,287,829,549,
319,928,195,085,474,170,947,395,599,130,338,317,716,540,789,427,508,553,815,
240,471,848,230,564,713,720,308,126,606,205,020,345,958,420,117,420,121,444,
655,609,605,709,151,839,106,538,015,985,446,773,946,091,242,100,858,295,026,
430,170,097,389,171,550,390,052,292,205,381,340,956,458,229,556,548,919,162,
358,176,765,868,661,602,372,841,576,460,475,916,073,105,622,443,586,763,871,
339,061,688,284,889,347,775,827,895,723,353,313,154,244,078,315,829,429,795,
512,972,502,883,644,967,510,177,181,119,894,134,354,614,308,873,227,760,580,
670,629,173,666,244,936,840,506,023,427,390,000,453,820,234,990,460,911,513,
922,411,302,442,773,485,227,408,617,417,924,350,330,613,073,983,122,885,926,
615,807,492,219,507,858,302,889,560,359,923,570,348,212,422,098,190,124,033,
306,175,435,617,033,784,613,917,199,085,463,871,538,490,289,907,197,495,121,
206,027,933,591,776,841,207,781,567,801,204,834,452,362,761,150,224,786,275,
910,412,161,257,211,661,397,685,270,254,431,865,480,871,700,393,104,239,822,
588,360,993,228,816,070,897,927,149,828,210,193,190,121,985,184,359,520,125,
893,104,550,659,346,311,935,405,329,759,376,145,283,536,281,097,420,254,408,
769,498,783,605,829,935,071,688,137,774,686,957,894,923,749,311,100,354,615,
063,343,518,205,011,033,521,093,418,816,557,198,905,879,692,224,929,101,253,
657,362,250,650,119,364,281,131,657,926,775,179,703,835,264,162,908,218,653,
327,650,718,414,588,253,801,190,756,718,352,221,204,247,043,833,712,590,917,
043,692,261,428,021,603,510,198,294,479,828,318,616,166,563,098,444,748,219,
895,110,642,330,910,064,782,744,200,676,363,217,151,087,389,640,057,542,348,
628,438,046,455,117,902,546,078,137,668,198,859,802,386,169,390,605,595,133,
180,928,925,242,254,723,044,175,100,760,713,113,961,057,079,524,685,042,663,
742,145,264,501,852,096,282,379,127,093,281,376,300,139,115,735,538,643,368,
512,730,570,435,411,261,848,911,908,463,466,694,538,373,165,289,699,576,899,
374,397,161,931,559,606,859,556,004,394,077,157,652,898,509,627,900,039,498,
463,872,809,668,447,131,485,128,804,652,689,008,602,935,213,383,560,787,246,
210,325,087,739,893,951,297,046,879,035,118,997,128,695,549,170,354,016,902,
926,380,731,976,230,473,675,048,372,495,439,339,668,913,034,926,103,294,106,
903,700,927,281,467,962,393,390,347,052,488,115,749,769,044,849,792,428,520,
953,678,228,562,281,570,144,523,071,906,696,560,755,758,418,292,652,855,147,
753,904,558,584,528,794,767,455,870,574,772,052,668,075,881,133,158,320,194,
870,639,066,844,118,125,270,302,053,380,398,823,649,184,591,910,085,426,974,
402,555,179,617,669,095,087,881,324,784,126,811,540,786,831,063,997,370,220,
623,137,668,223,596,459,023,655,869,555,406,126,744,097,655,966,552,305,919,
334,272,323,959,887,160,880,938,133,230,981,686,197,392,915,065,416,848,137,
026,846,775,714,591,609,557,744,386,970,512,855,447,658,522,117,276,851,539,
410,176,838,485,843,620,544,336,740,808,628,992,019,240,721,954,925,281,008,
255,208,073,211,827,736,520,901,085,525,753,216,836,123,925,337,217,667,725,
547,099,142,282,660,584,705,733,197,697,747,960,936,853,843,019,042,069,101,
115,555,546,338,754,311,464,857,775,077,498,878,069,400,938,711,808,452,381,
610,816,103,510,279,446,010,322,955,968,741,888,456,746,525,164,490,034,701,
793,204,699,125,675,642,698,370,266,511,300,171,528,957,757,483,174,430,104,
574,820,173,386,261,410,106,805,277,619,018,711,495,321,355,047,207,940,656,
826,640,192,946,593,442,180,920,450,254,567,837,362,015,178,824,471,355,372,
985,420,018,713,887,195,374,520,562,304,252,234,952,607,679,272,036,920,240,
720,618,739,457,911,545,522,318,190,312,934,008,587,114,328,214,970,789,879,
145,055,461,779,136,172,228,538,527,975,843,605,995,601,339,479,520,924,459,
802,585,585,997,942,439,793,559,379,363,787,943,913,752,519,588,811,433,829,
089,684,995,041,100,449,250,545,673,370,534,904,348,363,801,083,306,468,531,
010,326,739,815,043,444,982,775,648,987,259,436,413,021,640,959,931,160,743,
290,554,255,816,660,374,689,508,219,240,955,975,949,629,775,883,393,183,711,
631,745,038,896,339,803,820,032,328,208,148,090,027,062,790,980,251,428,307,
277,937,851,711,195,631,167,158,074,189,269,586,959,829,794,478,632,182,442,
069,468,298,702,053,163,787,222,017,004,259,497,482,496,897,457,105,801,711,
900,961,303,993,999,022,652,414,078,877,331,915,890,889,937,627,168,871,815,
448,899,426,674,611,672,190,203,288,745,869,159,328,933,597,920,378,342,405,
832,123,483,904,531,135,222,145,502,953,695,562,193,932,598,355,250,422,470,
564,737,540,991,736,596,635,191,988,795,406,550,115,938,961,890,151,056,786,
797,054,252,437,437,878,930,670,309,961,682,874,134,355,062,499,447,942,717,
246,252,085,387,968,413,099,934,426,257,549,684,910,843,344,995,032,100,089,
239,079,783,968,957,665,158,951,919,557,246,984,505,450,969,569,259,924,300,
145,861,057,156,182,886,182,315,285,645,761,042,573,169,739,366,841,873,228,
160,779,389,340,809,324,172,913,607,210,471,516,444,737,441,086,310,539,653,
269,663,015,093,367,888,204,481,528,474,013,133,325,247,805,026,630,241,900,
450,735,761,800,490,274,656,596,876,407,839,095,668,498,071,608,996,999,449,
487,583,998,125,080,902,270,075,747,981,364,962,172,137,849,395,956,425,386,
122,569,329,617,689,235,318,736,955,522,992,803,776,845,019,115,667,754,400,
928,392,276,523,270,274,707,561,383,215,979,537,496,607,882,503,508,024,142,
785,055,588,923,453,400,731,438,007,557,566,926,113,873,583,489,051,562,826,
207,300,370,221,731,338,271,048,680,520,177,523,676,595,861,205,977,653,864,
269,125,815,298,119,770,226,500,805,831,116,977,433,895,531,397,090,937,985,
018,642,752,068,619,823,698,966,261,438,582,486,117,094,477,350,308,703,653,
723,886,733,213,990,109,880,419,799,916,494,328,571,049,443,777,028,447,692,
895,327,456,625,347,967,632,315,680,988,923,485,124,349,776,682,602,616,625,
068,356,729,690,098,188,296,103,706,508,375,080,375,852,966,504,803,147,660,
084,155,754,280,578,566,553,106,637,328,371,329,248,123,848,764,375,482,154,
936,057,696,195,229,115,608,727,982,325,266,755,303,049,082,344,229,197,311,
904,414,406,238,905,875,204,982,812,168,051,529,751,367,140,746,927,858,947,
929,809,395,932,670,925,304,378,904,129,177,426,312,555,111,693,697,530,822,
470,527,519,191,107,698,854,710,747,179,513,848,465,496,475,027,855,583,388,
237,974,196,412,749,002,655,421,336,536,055,570,467,279,688,407,227,730,313,
465,148,568,883,626,782,329,563,076,875,098,553,904,979,307,212,262,759,582,
465,234,395,068,025,424,547,287,628,825,734,077,729,446,800,067,496,030,421,
852,958,135,048,738,988,060,038,484,725,481,099,410,374,227,167,420,473,563,
844,274,942,457,756,581,246,986,592,078,517,296,669,821,338,519,568,508,952,
724,225,229,382,834,621,324,137,532,205,196,272,112,276,062,761,045,923,028,
738,693,049,107,508,946,432,459,146,344,980,802,305,655,822,738,455,599,477,
668,674,937,247,667,219,399,041,543,255,160,375,853,424,776,217,202,439,106,
307,242,572,444,894,189,531,842,234,638,653,284,814,968,232,640,003,879,618,
657,702,956,087,610,318,576,764,805,344,307,639,363,330,241,519,745,525,139,
875,243,877,505,093,946,606,468,033,666,234,488,464,791,648,083,512,464,295,
728,713,830,367,192,179,390,538,702,161,726,375,029,788,896,263,284,068,098,
367,002,387,227,578,482,975,719,476,434,655,819,012,118,327,006,701,064,670,
565,414,588,922,268,136,600,915,646,896,782,823,689,696,421,627,504,454,296,
983,653,136,380,739,454,910,445,401,269,149,634,311,078,012,286,332,340,376,
047,483,658,149,935,897,207,933,207,015,106,327,855,024,975,727,186,919,940,
517,347,756,006,177,838,508,606,378,416,850,042,901,724,116,956,600,518,738,
044,318,364,243,535,317,379,059,856,758,434,445,709,724,228,181,236,656,608,
499,337,141,790,204,178,860,395,400,311,108,877,523,258,638,478,067,776,362,
635,147,876,209,368,050,563,078,275,530,191,622,615,193,065,589,003,617,877,
280,738,765,441,023,846,174,446,869,365,234,541,081,665,287,197,552,404,340,
445,304,263,819,377,246,887,298,968,517,595,087,815,835,685,881,428,747,660,
564,369,290,793,997,914,324,592,695,790,645,712,438,578,844,846,503,753,180,
816,963,471,897,773,401,317,939,475,565,598,453,949,581,541,574,156,051,333,
382,937,240,489,855,125,697,362,663,988,692,850,928,335,578,044,996,731,277,
427,279,455,645,334,263,102,254,489,148,536,148,173,494,404,201,202,295,855,
528,125,478,322,595,646,397,858,965,411,777,793,977,678,326,248,997,444,744,
562,319,529,507,670,342,604,729,543,186,267,302,070,618,685,864,849,197,821,
179,002,379,805,061,342,290,474,045,100,422,826,902,358,967,862,521,339,590,
731,710,286,830,600,517,514,264,737,485,788,646,945,967,076,672,538,250,693,
455,104,937,162,866,780,064,205,043,980,016,753,119,609,337,120,456,436,409,
638,696,797,674,827,306,092,632,281,716,820,982,831,376,199,112,521,970,627,
109,439,630,283,384,952,932,305,502,881,552,612,287,130,606,184,550,661,620,
359,488,734,297,532,785,446,434,544,470,730,605,792,972,045,333,099,796,635,
316,081,737,980,755,798,585,270,641,646,485,304,594,947,832,703,264,064,484,
949,160,199,367,420,743,878,083,875,608,214,662,452,665,337,446,511,800,146,
804,483,390,707,717,179,900,921,459,195,026,360,853,037,384,195,412,615,040,
998,343,725,437,942,551,213,515,610,439,714,345,647,276,653,242,342,627,219,
782,327,099,949,991,283,878,897,459,755,949,410,639,771,545,279,834,577,972,
759,298,497,046,723,395,164,237,972,627,850,284,775,103,594,393,515,688,423,
431,482,080,659,724,505,966,032,934,477,558,915,933,406,161,537,399,588,171,
242,530,703,125,911,247,929,374,780,776,554,165,682,009,731,181,454,773,939,
423,875,526,393,636,142,567,253,203,248,015,283,304,963,785,198,565,274,886,
908,797,101,067,341,276,487,459,721,095,377,119,383,099,156,165,058,480,303,
770,845,548,384,977,404,658,129,706,574,572,138,658,709,852,349,661,332,253,
655,158,286,887,747,262,597,363,610,193,250,203,295,950,939,277,125,722,528,
257,225,686,516,692,706,111,228,391,533,522,129,026,817,914,968,549,223,067,
477,237,258,736,781,400,970,820,622,571,523,270,252,191,101,769,810,638,441,
961,945,206,451,324,289,999,878,877,970,483,942,115,251,698,362,614,322,084,
127,311,316,463,836,559,233,695,378,759,938,710,936,629,139,961,682,496,894,
785,187,009,424,238,916,610,629,147,305,433,688,901,404,289,852,173,279,571,
539,050,965,820,346,483,327,103,220,031,537,707,936,463,099,572,265,031,887,
630,849,320,457,558,831,672,080,245,268,696,741,055,703,041,107,557,443,713,
607,266,261,933,024,991,559,924,261,434,123,142,060,424,301,011,189,427,284,
944,205,363,839,420,780,831,401,918,082,201,438,183,866,052,748,768,389,498,
587,917,616,223,450,622,685,893,441,108,107,089,438,732,911,384,252,655,782,
483,652,486,559,062,985,453,916,683,427,822,403,250,185,015,563,420,105,174,
838,292,575,878,050,067,484,710,962,823,156,095,604,760,215,687,432,205,237,
200,198,213,827,051,172,841,782,582,504,919,449,593,115,447,314,546,640,149,
661,118,291,192,915,207,744,973,645,308,872,874,812,188,064,786,725,669,499,
653,392,474,463,050,413,008,833,957,219,157,649,142,272,999,947,778,668,090,
729,371,036,091,754,531,231,017,352,914,437,909,337,731,963,896,665,452,890,
722,877,318,677,287,548,956,118,743,233,476,211,860,450,133,496,184,599,339,
526,344,853,036,819,067,302,715,324,259,906,599,149,392,901,077,357,505,159,
624,482,484,738,506,587,467,613,541,176,152,172,205,444,105,722,859,457,982,
138,958,255,584,561,508,872,356,374,025,667,597,370,013,016,312,385,459,181,
397,973,986,269,760,253,775,745,173,482,818,862,742,593,136,727,544,532,432,
804,826,605,316,162,382,268,913,012,511,753,974,085,810,091,115,366,054,056,
441,863,403,372,571,535,124,080,384,182,207,621,399,844,882,040,745,347,446,
026,929,011,599,788,896,915,583,562,213,052,417,245,844,844,767,714,841,445,
169,866,199,044,275,946,550,615,624,616,067,208,965,261,044,926,567,952,275,
109,817,600,628,789,016,955,573,804,076,398,623,294,124,687,025,929,926,080,
610,155,656,410,005,900,036,042,606,685,089,178,235,240,355,715,735,878,798,
857,747,690,964,530,514,496,015,970,812,355,627,479,361,857,449,327,465,977,
747,527,211,252,026,045,685,964,908,022,765,128,725,822,212,992,493,494,109,
067,831,866,078,267,546,176,562,626,323,025,512,752,615,692,431,347,375,036,
703,893,974,181,317,395,083,143,877,030,833,904,257,580,328,199,789,372,645,
679,100,165,829,565,022,996,729,265,509,279,897,350,172,753,328,457,111,575,
503,243,604,788,825,697,484,210,398,861,147,743,411,626,155,696,425,188,945,
376,596,249,529,612,481,048,028,850,895,755,622,326,426,972,142,871,246,594,
875,450,660,831,005,201,122,500,426,374,978,219,929,182,976,321,550,715,449,
040,920,908,818,457,482,701,067,968,757,040,249,088,672,854,833,885,741,139,
268,071,645,348,807,038,583,958,755,370,294,071,174,693,120,313,751,408,274,
976,038,954,556,342,416,551,716,740,907,389,718,933,294,552,829,020,057,562,
443,825,164,974,206,092,096,145,271,769,781,395,411,944,022,083,966,368,016,
069,697,642,051,780,081,915,073,740,224,986,707,247,510,861,775,130,591,083,
003,806,959,370,347,392,181,564,581,083,437,610,658,594,479,698,856,472,679,
678,915,225,043,385,695,511,994,986,364,533,866,466,460,563,728,851,544,147,
105,164,603,112,572,326,749,251,320,672,204,051,246,468,222,806,717,872,489,
345,954,256,995,554,643,823,963,751,995,424,124,380,826,906,848,381,262,356,
628,957,896,431,937,891,373,484,045,119,176,957,362,765,139,194,976,947,963,
108,073,565,189,995,965,717,466,919,721,114,103,199,539,197,202,912,975,917,
037,426,540,386,328,902,224,454,256,327,709,226,575,843,025,182,275,671,079,
729,628,904,602,592,169,659,777,360,932,382,569,860,725,180,161,714,389,264,
333,051,248,495,964,556,916,583,534,828,097,039,649,691,196,884,834,200,979,
562,872,496,124,047,210,022,485,329,401,913,752,155,825,860,267,040,317,725,
664,588,137,415,360,615,484,922,106,131,827,898,680,006,233,887,731,023,108,
431,259,287,749,765,817,990,958,361,372,210,090,959,900,505,579,281,764,888,
930,687,962,220,079,706,122,379,555,071,804,513,601,141,275,851,652,932,682,
374,838,084,818,296,113,917,294,965,071,678,453,341,590,323,233,907,149,706,
698,718,534,198,919,927,920,125,519,758,202,119,137,959,315,156,213,060,478,
337,932,550,265,010,705,662,876,159,337,927,491,188,849,556,513,504,763,440,
494,181,402,311,191,262,829,624,558,423,457,215,391,086,169,620,244,722,397,
887,067,983,379,165,230,252,426,708,675,637,297,772,713,040,643,801,199,552,
085,255,625,129,438,106,295,110,249,241,992,756,696,648,372,274,210,256,702,
162,915,187,563,361,718,434,434,756,242,111,014,463,316,159,815,678,808,806,
918,799,144,758,627,548,439,924,327,309,509,565,230,711,179,829,615,656,076,
447,952,326,048,375,385,391,491,841,461,585,179,745,775,926,804,025,614,157,
310,555,910,102,596,531,862,876,031,107,064,391,386,733,765,702,024,435,017,
444,405,846,463,745,733,706,675,361,456,795,977,519,759,203,464,783,350,742,
114,056,107,800,758,237,397,131,656,170,020,326,267,012,459,684,923,968,828,
883,403,345,851,494,175,701,817,677,290,402,021,600,373,572,708,345,013,174,
855,009,473,912,935,875,138,349,845,641,570,079,916,552,780,313,483,293,556,
348,880,791,637,280,969,734,685,279,989,596,934,536,855,046,903,912,281,733,
537,929,724,267,437,696,477,325,112,578,042,257,182,911,206,685,818,152,520,
069,408,706,298,264,259,709,927,502,911,287,950,759,100,856,492,497,858,607,
773,889,242,853,469,530,956,408,456,291,572,049,228,319,191,831,098,595,372,
023,192,595,029,083,055,366,423,213,092,321,984,304,623,819,283,563,536,271,
874,970,287,653,467,517,457,524,724,099,549,933,606,837,673,168,285,213,438,
843,340,437,804,368,703,577,744,375,467,431,348,836,978,110,429,111,593,035,
947,759,663,061,034,704,181,196,168,261,889,957,073,522,735,945,091,974,448,
812,946,599,607,164,961,052,600,494,107,572,714,395,448,531,023,680,944,616,
700,995,287,491,153,897,450,271,019,059,427,798,428,303,380,095,533,792,910,
897,556,937,083,154,246,737,567,102,642,642,286,145,492,064,394,312,903,901,
393,979,817,349,819,474,030,515,909,034,566,258,971,382,800,136,333,384,581,
754,997,621,879,031,028,269,993,822,400,994,718,917,492,905,022,327,193,725,
950,086,484,794,581,692,159,157,873,022,414,809,991,862,113,742,937,466,973,
696,018,545,898,184,097,789,124,201,515,135,667,074,834,359,802,615,419,444,
626,301,254,099,189,710,998,400,204,165,907,267,174,683,729,933,336,974,020,
637,222,023,153,656,671,812,975,972,804,092,223,671,404,944,115,883,608,227,
754,734,566,647,596,350,040,303,189,403,625,750,948,469,823,619,907,576,677,
528,297,175,748,583,161,714,585,671,719,243,002,234,141,789,434,120,705,594,
251,577,697,165,358,033,099,751,947,964,181,213,797,155,899,234,926,815,740,
270,886,223,745,131,864,071,289,255,830,562,088,720,291,624,811,284,391,977,
748,494,219,500,503,258,127,227,447,102,911,041,390,600,735,387,509,563,447,
409,972,899,211,073,987,563,079,585,128,203,004,256,429,615,158,207,281,375,
830,799,147,211,799,137,903,107,954,237,062,939,513,741,111,125,269,956,169,
554,917,139,374,511,302,342,217,030,328,165,542,149,108,345,794,346,908,643,
563,427,900,193,233,209,462,375,767,886,288,353,260,251,371,581,430,013,179,
093,137,186,712,314,578,831,893,722,603,731,083,886,124,876,390,726,293,545,
343,709,809,343,276,916,061,594,664,044,773,639,416,573,753,282,235,437,747,
867,795,164,089,365,212,502,497,188,826,318,087,011,807,015,550,681,047,421,
559,420,203,577,902,527,920,907,270,585,474,702,912,770,535,745,703,901,306,
786,477,900,449,568,619,958,830,751,650,636,054,275,082,934,346,437,132,339,
170,697,173,889,389,824,119,367,058,342,219,285,093,937,981,132,523,800,090,
950,690,865,724,377,879,230,101,511,493,071,091,629,188,324,919,623,349,991,
997,240,089,143,349,420,162,946,541,236,323,993,364,600,314,599,279,790,934,
194,873,209,920,617,552,404,299,605,785,809,116,249,136,570,726,738,593,884,
990,803,594,601,380,991,299,605,736,885,779,533,130,602,724,096,258,420,544,
934,672,972,169,204,264,565,394,412,414,106,382,691,969,339,783,511,452,342,
677,219,739,347,018,960,318,127,338,027,178,499,270,499,921,256,145,092,397,
938,849,671,078,332,757,828,507,250,518,938,538,315,868,741,238,609,892,992,
399,563,773,219,138,181,843,773,543,977,532,422,841,126,024,383,182,789,253,
793,323,452,223,371,038,970,942,822,542,507,613,955,234,406,186,623,331,754,
404,982,600,966,047,067,105,434,720,656,179,682,838,404,586,597,141,076,487,
453,676,035,697,305,048,147,093,740,157,505,998,477,992,751,492,765,775,655,
873,066,097,401,796,805,713,214,937,785,043,237,942,309,293,264,304,390,151,
450,089,974,061,242,051,784,618,134,861,651,632,448,864,952,153,889,529,232,
142,946,254,600,703,590,348,773,023,271,688,478,312,816,868,859,697,839,345,
759,174,321,556,127,871,565,865,885,293,921,406,597,158,277,474,254,283,988,
326,639,600,476,079,417,399,227,473,465,604,228,389,099,781,834,342,809,239,
433,281,278,080,319,436,400,116,932,839,955,805,727,144,437,852,864,030,128,
667,958,090,115,389,474,626,037,614,598,541,019,916,903,391,528,391,552,120,
072,500,574,309,425,506,896,852,530,917,774,001,917,488,658,649,238,731,058,
208,446,082,065,757,514,159,400,388,487,068,200,993,385,224,412,580,992,444,
119,600,621,157,874,333,769,672,274,284,179,820,080,371,210,753,861,232,845,
259,106,201,641,397,980,230,388,127,880,210,708,194,448,755,802,668,943,216,
784,506,102,851,208,879,476,138,192,853,901,534,881,652,183,953,983,475,151,
526,959,559,119,079,488,310,738,396,110,899,451,228,952,320,009,983,147,479,
574,572,696,158,332,773,107,886,273,963,904,715,597,444,902,914,790,057,066,
399,196,529,474,623,897,031,565,589,041,864,725,218,113,241,440,661,043,838,
576,654,402,452,045,350,627,459,597,811,609,108,330,322,088,029,854,255,132,
019,065,207,751,783,653,100,566,384,938,529,882,461,577,515,911,953,379,011,
907,892,094,624,438,071,920,862,647,385,383,211,632,523,243,576,456,371,926,
682,481,997,511,834,264,668,589,302,386,630,773,855,860,522,550,774,013,951,
044,571,846,011,451,810,823,407,317,476,655,642,938,311,001,535,444,231,065,
005,637,302,336,085,437,481,649,955,728,335,122,521,000,162,391,714,453,445,
646,935,783,553,279,364,278,459,230,772,680,561,593,852,647,399,483,635,701,
412,593,298,880,005,730,035,368,199,084,414,136,557,117,578,992,381,970,953,
773,033,510,225,901,828,293,074,827,102,818,166,189,413,678,151,726,397,786,
405,608,048,162,221,276,765,804,523,713,345,055,264,040,356,624,533,048,453,
981,845,515,328,090,334,665,798,664,445,444,626,459,896,936,967,901,447,945,
942,159,521,984,428,668,980,258,694,632,456,829,075,095,300,454,254,306,310,
325,990,222,557,689,329,738,397,845,259,443,773,655,491,810,335,687,525,022,
689,131,741,566,226,205,195,256,405,419,152,641,971,348,076,679,393,863,644,
235,387,537,347,521,302,734,102,691,154,616,594,910,688,079,254,124,452,369,
775,402,062,734,495,197,174,566,952,260,565,924,020,690,324,636,545,476,823,
747,218,646,963,560,783,439,381,422,590,470,405,155,516,379,212,231,655,868,
826,674,460,667,150,858,125,093,781,944,205,926,421,341,370,376,182,689,219,
770,696,399,775,021,103,578,529,796,479,139,309,455,368,400,174,817,881,987,
589,606,028,600,498,639,332,050,404,378,435,552,685,153,464,018,651,535,407,
422,414,332,938,241,673,853,892,323,369,319,149,480,873,503,127,747,356,810,
659,434,540,604,525,504,264,501,739,064,168,403,210,530,624,416,628,298,336,
348,711,551,495,551,245,156,275,072,553,197,638,098,538,538,158,724,238,925,
932,356,164,712,298,591,111,533,782,024,422,716,611,091,608,874,006,783,101,
615,227,288,744,371,887,325,685,216,310,123,794,885,628,193,097,535,042,340,
080,102,690,093,560,616,340,610,747,658,376,714,992,688,800,509,064,393,041,
950,659,729,711,523,409,766,224,423,455,899,829,492,675,344,604,049,725,007,
267,859,404,909,524,932,079,995,567,086,665,469,265,970,572,970,860,422,294,
938,969,165,949,531,092,192,017,893,614,664,166,392,451,132,841,951,043,837,
893,303,926,694,484,127,895,429,392,579,264,752,424,122,011,498,900,711,112,
620,453,687,205,991,181,575,637,754,859,037,917,335,557,372,731,262,782,248,
759,397,027,635,867,723,887,831,455,657,242,641,200,189,852,756,269,869,155,
036,609,789,905,784,676,103,597,017,345,716,802,921,504,536,805,801,481,270,
546,473,621,224,312,716,678,381,282,065,673,760,203,741,962,806,424,564,204,
113,946,546,735,469,607,466,510,965,108,747,085,258,401,942,341,557,405,574,
284,543,905,984,753,555,444,972,118,254,576,126,070,585,048,343,159,204,912,
460,508,397,451,458,182,734,328,827,840,709,625,080,443,189,243,581,281,023,
685,863,411,168,835,414,038,177,646,948,403,722,337,732,434,898,268,027,429,
193,675,245,266,848,864,188,042,096,232,607,924,654,268,544,637,448,842,013,
237,861,739,194,142,333,480,221,666,907,379,373,955,813,875,793,734,374,283,
719,055,392,973,386,804,712,813,838,963,081,560,126,585,998,063,283,870,978,
256,067,740,740,519,728,367,988,308,003,583,707,054,666,011,504,123,030,638,
611,480,865,999,744,624,825,925,781,251,991,962,158,772,699,152,448,271,778,
943,935,473,238,902,027,334,241,323,690,874,819,772,308,505,239,934,851,054,
931,144,916,971,289,531,166,748,256,808,730,991,388,658,065,931,897,732,561,
826,569,405,014,940,660,944,468,534,164,931,358,270,678,883,102,902,026,130,
292,416,060,754,315,698,147,305,909,749,866,795,252,070,967,091,832,054,963,
701,049,911,986,062,896,093,061,314,660,218,945,366,687,114,617,170,764,514,
692,001,853,614,185,267,499,377,180,908,585,420,337,573,247,350,252,465,047,
056,506,098,401,016,161,281,988,867,940,596,878,502,792,087,111,004,395,664,
877,846,982,924,361,234,277,942,932,438,379,951,081,353,764,570,455,065,963,
468,530,418,876,484,491,536,921,348,682,898,747,183,842,909,735,745,172,517,
283,020,487,089,036,942,933,617,011,130,141,908,780,142,647,253,806,604,104,
424,441,246,359,885,757,775,511,075,342,849,785,706,302,282,305,193,608,081,
179,473,245,005,560,813,612,049,543,706,572,738,286,496,304,028,090,808,708,
055,214,631,313,456,356,600,678,003,352,734,124,668,411,793,672,747,235,951,
483,859,960,929,953,523,883,390,969,164,580,182,385,872,316,462,012,983,672,
078,531,459,026,626,824,912,529,015,836,370,869,610,699,325,875,449,493,595,
845,948,288,658,575,345,287,179,476,595,200,479,574,115,670,883,326,740,369,
347,728,844,109,374,578,211,991,511,859,170,071,976,482,420,330,265,287,468,
278,259,583,085,222,129,627,364,188,204,190,785,189,348,012,489,877,424,652,
035,305,439,665,891,189,813,249,563,422,339,162,578,863,805,748,101,370,049,
373,306,526,840,166,032,961,643,101,860,174,916,571,094,150,949,409,099,213,
908,894,131,576,148,156,555,673,833,059,863,809,841,694,919,213,039,339,427,
140,735,102,268,525,438,771,126,039,382,839,348,668,897,734,750,687,966,695,
574,177,411,856,068,260,570,216,833,672,193,491,549,803,961,880,175,190,627,
827,418,193,533,999,780,773,893,023,434,382,045,394,396,419,439,059,972,757,
406,114,016,084,168,467,934,022,740,276,321,198,507,526,540,762,364,915,106,
504,752,784,074,219,587,912,443,259,247,850,103,113,509,410,151,720,747,891,
644,446,297,942,607,292,741,830,830,836,485,532,675,145,490,964,916,881,542,
424,062,924,890,882,218,577,750,258,542,246,883,695,870,240,575,990,699,932,
936,928,706,173,285,323,736,744,817,847,879,691,411,999,955,809,049,864,787,
900,998,668,955,845,068,377,234,522,491,247,797,098,993,036,882,209,624,572,
224,075,810,185,639,078,850,814,403,677,018,936,637,682,072,576,994,502,017,
492,872,970,509,357,927,964,998,072,826,364,259,671,751,693,552,070,865,665,
700,740,347,127,545,541,971,488,680,048,453,387,429,771,710,295,608,645,330,
307,162,213,641,280,870,046,500,131,982,248,197,974,640,208,340,565,160,524,
715,205,411,114,053,808,038,252,552,792,745,483,218,530,837,946,869,745,807,
989,734,818,685,461,652,393,152,200,439,585,438,042,131,591,558,835,395,984,
643,808,684,051,327,434,732,481,256,380,004,073,746,546,226,078,497,309,383,
511,787,376,620,926,646,775,636,123,519,594,402,224,963,177,485,996,733,581,
348,938,670,335,604,467,082,087,519,319,673,830,747,230,709,808,439,148,698,
779,035,323,739,896,869,903,841,504,625,218,494,068,532,280,216,625,012,027,
447,887,814,057,288,634,751,798,858,350,159,967,242,812,162,750,498,627,313,
750,819,470,227,936,111,071,266,313,256,629,267,080,671,870,618,634,055,480,
544,157,064,401,679,654,408,741,233,489,755,715,038,375,567,008,107,235,583,
770,290,479,563,013,808,765,445,323,723,259,850,996,442,048,967,217,427,538,
669,816,462,088,876,402,576,446,290,833,610,434,348,975,556,690,170,672,752,
093,989,261,638,971,879,594,256,918,079,344,203,556,522,427,825,846,990,843,
859,068,139,429,324,643,175,305,002,519,185,828,820,191,603,411,106,973,632,
184,796,655,119,139,573,205,122,583,935,824,337,430,865,398,605,755,612,765,
366,172,377,488,660,410,087,029,510,307,821,249,264,287,350,447,896,558,108,
042,286,331,475,132,141,072,643,511,132,513,817,025,395,128,264,740,017,155,
580,505,704,973,200,016,414,821,882,515,266,115,506,023,110,252,772,019,016,
271,645,344,484,329,953,071,150,006,503,175,742,161,055,419,134,434,240,279,
258,569,956,715,288,948,363,368,169,195,159,762,897,556,947,883,518,732,465,
581,104,872,090,894,259,097,032,732,117,978,782,064,935,227,147,923,837,602,
966,634,103,504,507,139,209,895,572,380,726,020,687,822,287,496,864,736,362,
967,475,095,936,180,226,276,225,361,259,772,609,651,662,039,497,872,624,849,
476,380,806,761,259,072,112,084,338,380,991,278,457,014,316,602,111,843,080,
336,045,327,806,075,534,853,453,140,388,718,477,680,589,251,172,262,389,078,
175,077,741,552,287,356,353,429,170,569,804,794,965,251,422,924,686,857,577,
125,276,285,497,851,919,468,093,780,733,091,876,354,254,321,411,457,384,358,
915,751,394,693,185,991,649,348,533,830,042,196,909,964,999,500,819,532,028,
167,828,409,598,473,996,160,971,391,269,191,331,280,070,017,049,913,948,556,
542,677,797,520,021,969,359,228,608,953,913,221,142,264,173,975,284,460,628,
152,277,458,400,061,446,174,739,836,107,793,253,475,643,791,511,544,418,634,
549,600,763,092,321,113,892,718,687,234,739,757,840,350,847,505,035,512,788,
429,257,527,981,238,697,976,199,462,985,811,373,272,407,209,073,544,461,934,
332,316,276,565,653,881,885,644,023,110,362,073,323,923,999,509,661,125,260,
385,878,756,390,416,788,124,802,367,758,403,946,321,598,079,491,924,616,482,
277,160,487,942,244,787,827,104,959,260,758,444,365,748,157,662,438,913,406,
587,293,628,066,054,224,821,580,492,100,463,408,143,368,936,901,201,125,617,
546,033,238,444,708,573,825,559,950,489,094,005,619,076,526,635,800,912,018,
968,528,236,269,715,864,870,229,523,892,120,346,121,676,244,899,951,009,856,
592,092,095,657,200,434,826,889,859,203,263,976,290,270,883,824,188,595,124,
602,618,534,203,826,207,352,408,487,059,221,484,087,467,867,783,520,697,136,
471,053,683,094,643,946,028,489,284,582,437,835,266,280,559,968,147,051,092,
971,111,654,017,659,142,569,969,527,597,283,102,384,891,059,889,400,320,866,
791,275,065,695,768,369,542,180,178,276,390,951,805,002,103,660,014,700,079,
466,268,625,615,954,848,268,107,795,115,978,329,117,815,636,724,276,117,253,
318,241,450,478,349,882,964,038,754,443,260,459,412,823,871,502,215,701,338,
748,920,069,415,095,015,042,217,378,177,339,944,489,268,534,386,074,412,788,
549,043,962,041,517,175,077,610,748,418,603,635,317,397,112,147,348,847,106,
883,944,483,091,750,695,603,895,535,821,406,628,373,503,393,150,438,322,268,
085,314,930,693,180,068,020,301,901,492,648,435,136,978,922,193,923,131,060,
959,977,026,398,197,781,999,619,555,166,107,929,801,052,257,268,537,437,016,
652,606,608,235,706,731,343,047,704,983,029,648,737,489,992,715,857,774,665,
951,784,919,554,991,076,490,842,219,392,736,871,415,978,602,901,330,164,760,
751,119,042,287,035,702,541,953,116,170,826,671,343,465,868,427,897,063,317,
337,496,144,695,479,452,864,357,704,987,709,327,193,947,423,363,695,010,166,
787,918,088,146,875,589,283,653,518,428,438,884,522,350,315,380,927,841,831,
319,845,199,135,464,508,237,020,906,835,459,813,376,112,570,140,798,652,953,
486,519,178,101,191,052,325,211,134,305,016,848,183,077,193,940,543,130,260,
359,326,542,077,898,278,402,664,458,608,935,721,063,911,369,094,282,935,720,
055,800,157,740,170,000,452,719,424,949,200,672,225,088,570,906,427,856,196,
508,691,715,221,573,044,853,080,534,565,259,939,310,764,459,913,960,935,478,
072,287,820,158,361,160,379,746,483,300,022,754,080,017,591,381,546,912,848,
023,903,085,827,837,877,685,883,559,075,182,354,047,756,811,284,727,506,560,
737,333,671,807,402,493,093,978,426,444,660,934,943,562,663,684,032,320,340,
915,370,005,549,396,769,223,728,187,514,833,084,463,846,231,606,682,429,431,
022,013,044,949,366,812,967,456,498,230,509,035,106,645,455,861,720,883,413,
969,968,359,989,454,842,939,541,382,726,720,843,692,202,993,552,361,589,675,
342,673,246,818,046,155,475,972,875,582,874,969,334,724,503,670,716,633,200,
243,183,933,066,382,395,465,386,519,448,092,897,218,707,016,808,741,388,441,
942,645,642,767,095,940,412,804,324,794,584,356,680,778,845,406,911,112,168,
541,125,008,957,847,305,800,203,656,624,924,681,747,597,772,986,230,863,284,
156,367,501,955,414,156,843,547,491,032,593,612,635,868,780,059,806,701,127,
661,551,941,185,075,244,420,246,372,861,709,866,386,262,593,102,327,673,650,
656,908,774,143,153,914,705,774,809,335,576,799,982,697,740,555,587,388,825,
737,362,368,255,045,262,581,437,288,028,002,954,567,907,031,111,163,290,860,
804,513,298,096,534,178,296,563,498,743,252,525,577,533,681,702,666,859,315,
778,295,148,346,918,348,901,358,956,781,911,720,467,206,861,722,167,496,729,
684,105,689,818,710,628,801,662,524,757,417,837,045,290,417,514,118,763,691,
336,264,700,186,304,942,496,091,347,703,319,824,191,913,708,862,018,837,807,
997,082,697,812,320,843,344,657,665,436,503,364,642,839,550,438,836,659,799,
548,952,656,694,293,966,929,321,013,077,010,068,702,937,588,479,111,921,580,
638,098,376,975,723,030,795,189,145,569,898,612,825,880,933,105,921,285,350,
717,406,752,696,851,402,113,025,805,154,656,297,484,084,536,524,722,675,842,
504,361,651,651,639,856,245,698,408,021,130,602,973,123,221,342,253,325,263,
782,356,083,350,509,703,038,547,617,655,933,844,068,049,387,484,430,526,638,
593,829,421,882,889,235,661,374,020,701,839,322,916,652,126,179,454,935,361,
474,072,798,229,880,130,280,318,154,389,345,696,889,819,353,284,278,603,362,
266,737,837,368,926,352,613,345,091,136,194,709,598,239,686,715,964,576,408,
071,985,468,019,011,635,166,626,386,722,688,688,998,839,838,265,181,589,655,
129,290,041,509,996,425,101,190,199,173,254,338,539,379,176,185,686,993,041,
435,248,917,268,230,973,306,203,084,609,393,612,682,549,826,454,427,146,942,
363,348,050,380,800,298,164,780,414,967,816,009,212,153,637,231,837,227,652,
426,118,844,379,670,561,759,937,586,181,038,824,988,000,877,329,750,917,852,
907,517,424,852,984,500,594,029,299,308,072,937,018,890,152,475,498,113,518,
016,596,505,237,377,812,756,837,899,905,222,607,646,195,203,697,564,809,542,
593,792,190,881,399,574,080,072,993,827,072,569,897,871,456,934,191,477,418,
771,134,358,493,671,593,666,999,148,785,350,557,685,685,629,676,757,713,519,
884,840,248,041,108,896,663,511,437,046,786,093,664,539,176,446,864,752,670,
223,253,333,218,911,450,309,396,835,257,805,203,196,203,546,308,860,946,078,
082,331,506,992,780,093,350,412,146,534,120,560,613,022,118,648,715,687,405,
200,388,604,502,523,407,226,669,372,788,007,998,406,846,548,693,467,326,542,
887,657,049,167,225,928,843,540,935,421,329,882,093,335,015,000,162,451,080,
500,550,526,447,759,517,711,908,702,316,526,393,035,532,340,344,820,899,296,
190,378,670,880,633,702,882,007,370,327,258,389,897,674,016,299,228,574,347,
807,995,200,897,688,902,849,019,908,700,104,627,779,209,321,823,661,878,046,
285,530,688,932,426,757,188,457,375,434,363,448,367,876,771,759,833,391,843,
106,039,428,949,546,076,999,841,701,481,369,959,912,277,557,041,063,895,183,
049,848,101,606,727,507,086,976,666,497,144,600,481,749,673,237,524,066,740,
439,489,054,679,542,934,624,521,051,163,335,193,517,720,911,293,879,124,577,
781,575,762,838,321,446,645,223,816,077,612,261,211,436,580,342,166,061,397,
849,649,919,363,041,213,446,715,750,702,749,547,130,415,027,306,548,008,705,
149,378,442,300,804,933,782,325,686,933,174,479,761,663,062,161,948,752,360,
340,975,943,536,913,046,225,221,690,870,855,966,028,360,935,551,665,488,614,
404,018,800,891,358,461,014,290,141,865,032,129,583,604,106,884,494,601,149,
230,733,582,650,371,793,668,680,645,229,855,506,477,600,471,321,372,380,388,
805,502,645,735,486,562,508,843,856,288,669,061,340,306,178,917,323,023,604,
260,247,801,310,352,429,497,650,226,606,124,448,982,461,391,927,627,466,893,
001,189,218,254,997,944,092,878,838,632,128,068,008,024,069,295,115,008,229,
668,049,515,861,465,236,399,456,773,416,723,604,350,229,247,580,275,704,674,
116,402,484,861,964,757,816,021,939,677,327,387,198,328,369,704,797,129,400,
553,125,636,664,968,795,364,351,498,741,511,080,978,660,234,765,195,745,094,
901,483,023,365,137,731,662,939,226,042,999,591,082,140,059,471,444,786,076,
095,650,576,275,050,099,945,270,366,862,334,875,630,282,266,139,797,181,804,
481,287,254,325,693,075,238,634,740,509,145,725,698,648,188,799,038,413,388,
913,129,053,515,822,752,555,569,113,692,614,050,736,533,630,303,825,624,619,
686,277,194,441,538,284,788,747,988,566,509,344,735,452,244,979,758,390,497,
796,614,617,033,719,828,663,551,188,525,614,887,312,869,638,986,909,481,896,
771,419,857,875,328,521,273,070,364,514,859,696,978,891,980,518,447,464,891,
752,439,663,780,485,514,637,268,346,518,288,233,661,708,094,591,707,288,085,
439,120,289,830,459,167,041,443,919,797,529,345,286,324,351,818,510,692,174,
018,056,373,179,431,222,152,863,917,007,136,309,400,102,287,474,350,453,562,
683,223,445,177,864,592,905,545,172,854,071,678,643,586,920,484,116,552,332,
640,655,700,908,963,491,788,312,211,070,932,642,470,521,415,202,088,429,553,
621,166,296,171,856,781,729,393,486,634,236,966,367,216,683,732,072,354,249,
322,175,084,143,205,831,060,809,361,600,226,485,225,688,461,011,733,284,308,
937,583,783,247,044,494,096,768,431,241,195,891,559,819,995,734,052,000,945,
391,730,829,232,655,547,291,693,298,001,554,468,942,352,876,956,541,295,221,
733,918,538,746,153,284,144,171,559,931,756,744,186,106,942,127,299,098,147,
716,097,403,651,536,560,486,725,280,700,899,254,203,959,468,443,848,338,291,
405,759,970,627,113,062,041,711,447,638,234,810,729,427,294,880,584,828,073,
078,471,179,827,671,919,035,489,011,765,249,713,056,887,575,907,679,558,541,
663,750,717,369,079,957,562,171,207,597,797,449,229,062,033,532,111,299,484,
004,647,170,463,811,367,123,682,093,887,631,967,028,301,137,799,574,487,273,
312,551,943,909,389,339,280,543,842,118,409,854,091,424,436,290,694,175,678,
155,375,636,195,171,760,458,245,246,111,696,647,801,630,719,725,372,937,185,
727,428,840,004,513,779,610,785,484,860,277,439,391,954,682,415,118,297,640,
895,643,691,352,415,780,136,926,923,730,974,712,504,868,295,393,158,528,265,
196,052,282,883,989,896,143,501,514,131,766,200,010,377,058,791,819,514,333,
212,154,904,220,651,594,922,067,179,301,541,692,977,608,231,118,080,683,078,
574,889,558,649,774,567,665,672,743,957,709,226,819,648,991,088,717,407,041,
345,429,633,561,621,385,799,837,621,055,620,668,991,616,892,692,216,951,280,
450,110,725,269,009,296,689,557,247,732,306,901,686,142,313,081,893,077,838,
112,312,205,526,235,331,130,963,172,625,973,819,321,641,230,556,296,126,635,
337,092,106,893,015,577,943,058,296,922,406,456,968,320,170,267,568,739,145,
425,704,918,566,533,717,557,783,794,432,471,110,962,035,041,521,529,522,012,
931,376,733,687,862,621,877,187,680,055,951,256,773,396,143,754,604,522,161,
131,340,427,434,351,849,512,015,315,295,917,705,445,611,333,410,838,185,562,
638,534,926,331,379,795,902,969,341,899,078,720,653,191,533,512,113,890,422,
379,737,629,205,640,480,642,499,988,562,235,046,421,369,044,232,032,482,509,
316,727,133,202,509,613,146,131,442,887,030,424,384,090,984,492,513,324,395,
350,883,087,581,932,953,435,398,882,559,256,508,944,999,906,579,772,638,563,
823,113,596,091,181,900,831,005,516,648,637,155,261,427,130,889,135,805,595,
251,902,484,537,428,871,846,626,181,004,317,570,403,220,193,815,840,210,207,
682,477,133,683,571,988,905,096,482,696,605,061,363,410,385,049,640,452,899,
259,893,643,343,130,915,918,123,883,273,491,296,079,035,425,628,055,506,582,
092,664,325,050,105,746,194,331,128,179,388,893,477,705,926,630,090,396,551,
307,460,672,386,025,385,570,533,149,449,615,219,916,543,791,543,903,595,678,
437,016,323,623,066,874,498,610,009,736,806,313,821,813,749,869,878,328,528,
565,368,011,329,232,285,186,290,433,762,810,082,404,079,161,349,619,582,895,
278,766,979,422,134,809,446,831,890,329,365,198,073,405,861,722,259,044,236,
652,952,794,659,207,271,351,780,419,247,063,146,570,164,643,972,511,833,241,
062,361,002,967,957,217,075,710,351,994,014,877,946,894,744,149,234,824,599,
059,810,530,773,783,934,534,036,712,418,422,856,300,826,977,828,084,059,721,
895,037,491,539,503,218,409,003,128,118,745,267,491,138,815,841,404,633,570,
494,722,434,621,910,576,433,673,150,349,332,716,786,830,493,465,936,708,029,
197,733,180,060,726,130,349,805,157,554,380,421,040,361,077,558,239,401,441,
648,423,436,226,740,218,932,021,650,840,994,104,975,025,026,100,274,820,510,
275,231,802,417,003,293,406,971,982,051,543,717,201,322,192,016,636,137,738,
273,773,095,327,394,545,439,753,799,833,589,544,309,425,859,328,279,604,069,
547,876,047,300,822,848,135,154,272,030,612,448,308,499,332,029,059,895,864,
770,281,747,975,287,420,357,069,327,964,214,080,985,723,643,145,420,285,880,
683,814,091,601,041,895,693,622,620,939,269,622,291,598,164,143,352,188,449,
096,821,136,572,719,335,105,866,391,290,502,340,563,417,887,921,945,356,021,
629,914,651,379,371,049,604,880,379,335,906,200,013,894,571,529,926,270,856,
459,514,878,442,431,219,979,156,630,390,510,087,002,718,182,899,965,550,808,
332,529,351,716,545,267,590,664,167,967,322,649,757,428,616,490,496,369,738,
869,069,606,645,308,339,818,128,408,446,671,018,886,400,319,168,326,436,647,
977,170,018,467,333,312,026,815,306,661,846,163,617,945,188,733,627,157,627,
290,788,616,312,906,637,592,928,804,327,182,030,795,039,439,861,240,155,415,
351,755,253,020,539,418,479,945,629,071,127,587,673,217,178,441,337,983,205,
561,530,753,505,805,527,220,393,188,876,195,114,481,923,841,070,935,672,344,
689,071,925,923,044,887,235,711,866,833,788,704,923,048,468,687,397,501,750,
864,248,690,855,480,381,840,321,305,926,007,549,725,284,752,198,449,384,200,
149,036,364,313,703,599,853,672,019,496,691,620,741,597,848,622,545,244,475,
375,763,857,959,829,388,166,623,665,456,464,347,211,931,493,648,746,373,880,
263,590,792,176,137,234,073,509,363,688,834,565,668,416,682,499,541,015,074,
994,174,104,473,919,237,857,847,727,291,592,423,897,148,142,361,248,300,522,
982,523,949,399,940,260,441,551,424,383,674,595,398,099,939,807,431,897,815,
238,651,703,953,672,195,022,385,547,905,843,872,701,531,959,087,610,954,017,
980,563,723,809,526,474,431,925,748,998,411,809,026,258,517,939,912,134,502,
622,286,358,153,574,909,466,968,483,020,447,878,740,153,773,014,477,859,890,
190,951,877,203,855,188,181,408,753,695,989,909,483,475,721,785,420,157,960,
030,211,754,529,773,504,619,582,584,543,456,287,272,532,677,938,048,042,089,
894,436,537,757,979,831,298,363,143,862,836,263,012,898,380,150,516,109,993,
601,923,233,796,999,680,825,299,901,084,454,597,033,321,954,523,541,819,930,
653,796,820,379,913,616,207,684,513,016,616,786,206,813,780,982,690,760,975,
106,225,813,967,809,189,351,937,242,246,828,804,832,036,774,408,387,654,448,
880,675,046,466,994,560,505,057,347,323,325,556,030,675,829,331,678,535,547,
236,448,045,007,231,545,953,699,030,876,476,382,601,598,877,989,393,445,576,
115,835,300,632,319,304,237,363,836,565,126,426,832,874,352,512,372,532,313,
039,049,933,985,039,668,153,826,733,013,881,366,201,076,018,261,651,447,503,
313,337,522,491,236,077,173,139,186,284,345,593,612,420,728,206,859,688,810,
452,078,222,001,034,681,597,865,486,210,389,352,056,274,137,402,395,858,092,
930,867,483,383,020,594,617,857,282,262,248,249,143,947,313,957,323,701,371,
672,963,088,986,447,605,873,382,826,606,515,938,207,568,598,695,810,355,900,
042,368,438,688,790,088,433,026,661,105,865,240,571,401,758,805,653,332,193,
865,992,058,606,593,882,331,452,791,517,057,614,749,961,103,341,102,887,266,
922,331,537,245,954,920,606,588,946,075,766,501,472,781,066,080,837,651,398,
601,189,090,954,951,937,606,251,764,630,304,619,476,859,051,285,213,437,096,
375,482,588,202,391,991,356,471,040,904,381,132,668,859,489,928,720,813,436,
912,539,449,640,778,287,685,100,079,222,923,129,546,810,762,213,415,870,184,
072,120,212,008,051,588,427,775,732,863,146,321,115,938,771,909,253,876,048,
283,015,154,306,660,352,272,713,137,708,059,948,192,074,694,526,732,841,574,
186,619,068,080,855,940,307,602,361,978,172,073,715,610,411,769,754,448,963,
298,746,937,560,944,943,337,306,283,958,290,887,279,530,592,986,926,152,830,
950,194,011,374,550,942,528,299,979,830,837,308,906,307,257,644,549,090,335,
227,319,194,730,427,911,966,456,160,387,325,632,348,960,532,627,053,403,557,
766,906,473,404,034,880,151,093,529,836,110,963,175,744,670,429,801,913,966,
918,304,149,666,917,356,702,972,515,754,246,742,881,246,043,043,738,180,622,
760,259,769,284,672,903,477,395,619,489,388,358,519,551,260,323,982,519,206,
178,675,670,636,199,701,362,370,164,288,588,686,168,254,639,880,729,088,580,
740,921,172,441,616,853,077,735,982,712,024,216,440,718,220,169,295,149,458,
279,123,499,436,169,359,283,114,708,964,728,679,421,153,048,960,150,901,193,
602,291,194,611,554,582,547,010,760,670,771,022,282,838,493,805,609,238,932,
205,727,847,116,713,907,370,118,427,089,386,776,802,676,324,306,120,693,759,
463,636,418,805,534,160,167,659,544,382,125,257,616,575,123,664,761,182,948,
452,665,624,507,400,891,865,337,122,988,943,880,021,849,908,766,462,753,222,
570,493,303,242,826,394,345,738,736,811,678,210,468,473,493,687,191,925,577,
126,269,237,759,055,574,119,789,519,648,942,450,259,099,218,355,366,523,824,
141,909,863,155,706,986,798,293,458,366,939,899,562,047,898,341,552,392,562,
512,658,015,515,517,567,375,752,032,564,695,217,883,959,022,834,664,110,301,
947,456,234,490,094,916,508,505,512,742,649,059,907,984,324,167,152,277,791,
870,504,756,165,935,853,316,835,883,680,537,045,498,807,539,896,865,579,432,
410,946,813,523,961,757,406,624,485,491,430,817,410,863,145,049,381,633,479,
484,907,830,732,827,804,900,893,928,304,765,680,289,264,651,264,996,502,922,
167,252,112,156,519,275,856,109,591,161,973,107,165,010,906,325,729,004,900,
931,339,283,469,707,066,243,244,726,745,411,132,875,955,926,858,173,121,980,
902,932,555,734,358,846,333,478,310,054,895,685,314,559,319,120,458,293,350,
893,837,216,332,991,547,230,203,823,679,589,006,969,143,906,687,491,977,417,
948,738,398,118,079,559,476,450,924,163,352,772,102,060,015,497,914,947,230,
371,287,052,244,030,582,408,524,694,558,622,334,734,873,834,346,891,003,985,
330,420,555,560,008,094,983,595,834,575,087,523,691,234,562,891,998,680,476,
501,408,500,428,719,753,051,362,429,704,698,954,743,506,200,711,412,358,124,
356,764,169,566,850,351,738,884,629,916,754,075,618,989,353,281,626,520,799,
891,101,399,586,642,339,788,609,158,847,000,865,352,739,015,240,058,302,099,
344,403,724,123,155,319,551,481,870,707,540,766,553,041,798,355,764,261,056,
480,533,793,441,891,229,021,315,166,116,384,047,591,192,755,708,586,968,201,
120,176,825,943,442,666,885,464,793,868,576,090,781,231,564,493,402,067,511,
142,512,187,986,583,521,801,649,732,779,405,683,664,479,975,014,294,808,978,
787,517,120,524,465,037,961,445,296,498,817,937,079,399,850,709,866,185,039,
617,963,070,751,289,004,500,921,836,709,329,335,685,230,913,447,322,751,045,
282,338,707,318,489,925,489,533,831,964,024,049,373,602,389,211,252,152,152,
295,372,187,133,994,282,642,472,148,946,583,037,835,149,973,780,490,908,172,
320,590,179,293,640,910,061,903,732,717,167,820,902,506,508,310,599,498,729,
185,258,418,257,019,287,010,002,771,745,385,310,532,236,980,502,086,917,876,
203,022,748,375,318,317,011,638,765,113,945,551,491,498,815,769,442,363,575,
768,854,061,253,565,847,421,834,670,049,086,966,817,448,450,862,045,051,780,
417,500,567,857,924,739,892,440,387,064,456,852,103,761,579,442,420,537,863,
488,596,136,693,327,550,207,754,262,740,121,102,038,722,044,294,127,469,833,
686,350,696,381,041,338,137,269,659,114,420,958,309,204,455,307,827,696,790,
188,592,033,782,933,364,186,600,080,844,759,072,814,529,603,291,875,919,193,
071,549,580,831,579,204,514,805,778,262,859,664,678,518,188,780,199,070,185,
386,248,452,398,407,315,442,638,488,343,131,100,376,293,951,533,618,981,084,
894,427,069,375,821,033,916,232,224,105,463,305,736,955,320,553,640,485,624,
539,891,332,158,215,029,576,060,421,323,828,859,686,738,447,683,833,745,311,
992,452,279,121,780,396,411,936,024,759,379,272,112,664,039,400,012,370,133,
578,204,040,779,785,608,517,567,732,041,491,324,126,763,237,614,785,621,248,
156,286,980,072,839,033,442,716,674,222,290,828,015,409,288,389,583,785,715,
965,214,515,057,340,765,369,048,843,959,569,098,255,656,318,807,808,037,075,
599,575,207,497,596,843,774,715,851,103,216,270,360,770,597,048,570,038,037,
974,202,641,572,623,424,306,917,032,724,544,420,323,574,744,877,303,756,575,
557,523,256,262,620,866,060,063,858,232,311,565,123,956,370,840,832,296,985,
825,189,623,399,598,171,855,878,071,136,047,061,443,105,423,635,717,021,381,
549,244,323,404,155,978,989,523,384,808,572,626,100,767,331,398,930,865,109,
075,919,792,859,379,514,690,162,736,643,097,857,236,823,638,878,414,767,624,
854,672,408,838,295,640,767,906,569,838,833,689,667,198,015,367,731,588,811,
150,098,939,379,687,889,648,234,704,684,417,868,386,396,671,881,635,655,737,
244,118,212,403,259,155,192,282,347,833,944,868,323,392,740,004,456,768,230,
762,604,682,796,337,469,856,254,893,072,957,709,453,504,663,084,452,941,542,
833,822,798,848,902,223,280,503,905,956,735,607,999,542,743,722,066,301,842,
145,138,226,823,091,286,848,222,630,842,655,241,895,892,128,834,204,187,060,
503,405,642,835,043,015,984,432,369,319,038,482,179,432,297,116,769,844,218,
774,915,599,264,628,628,770,285,003,898,901,922,672,502,150,802,069,752,831,
251,277,756,882,081,772,017,836,846,104,687,777,799,301,017,706,044,560,784,
094,987,148,333,870,874,645,718,918,394,081,870,366,298,077,354,551,131,122,
806,479,386,358,797,814,295,978,994,431,721,217,721,424,206,473,141,225,092,
322,257,252,127,112,951,504,952,036,105,481,273,835,290,004,286,487,430,858,
983,881,965,684,187,428,060,392,732,063,924,474,142,474,706,375,505,410,943,
400,427,995,231,080,767,526,549,387,291,772,702,246,073,506,103,286,334,775,
040,455,950,618,703,166,202,165,966,046,769,440,320,875,341,739,806,456,626,
704,286,440,931,981,818,977,283,782,741,664,286,012,384,944,424,720,077,411,
996,070,406,297,634,004,627,007,106,890,515,665,579,028,305,527,271,838,099,
150,132,589,085,859,596,213,712,763,581,352,701,392,667,916,181,914,628,823,
283,914,698,135,569,467,459,097,413,951,921,833,107,026,277,470,236,830,823,
049,260,535,869,004,027,066,929,084,738,035,975,716,479,561,894,363,683,762,
263,810,950,433,291,125,771,355,533,638,399,663,534,590,556,828,508,743,243,
031,081,848,461,332,104,230,960,970,571,483,837,454,278,801,421,833,727,711,
896,333,788,166,542,500,916,170,612,128,483,957,348,584,240,156,562,765,674,
137,538,085,636,237,243,878,558,666,362,116,034,668,202,554,550,742,662,256,
407,763,821,325,023,221,777,712,172,338,787,615,324,138,657,097,204,537,459,
281,732,586,447,182,643,347,567,219,749,308,261,101,284,872,664,395,880,245,
705,144,016,456,444,578,843,099,773,368,078,126,879,667,433,390,082,357,175,
657,360,521,589,122,643,313,287,328,407,070,601,346,313,929,061,188,779,294,
850,655,751,785,982,531,316,326,808,037,432,035,785,492,332,965,690,794,756,
981,866,005,739,312,809,709,601,118,214,596,035,533,576,678,700,929,322,039,
631,360,286,248,584,389,112,463,320,267,083,486,116,410,797,705,536,162,195,
192,537,068,392,771,251,569,240,691,337,459,098,422,066,300,547,044,481,497,
289,589,141,472,916,794,407,466,927,242,768,463,197,179,136,377,054,972,744,
448,336,916,848,348,216,038,180,750,947,124,148,793,277,123,336,108,450,721,
144,462,938,313,527,955,379,536,550,331,627,140,020,419,104,342,470,600,994,
144,245,382,170,955,079,024,556,808,955,467,611,398,772,459,032,519,139,142,
791,891,997,116,617,714,946,905,739,649,968,766,258,390,236,228,729,709,626,
533,303,570,812,812,866,885,108,505,260,673,957,627,599,797,755,936,955,610,
985,826,765,791,424,771,368,634,547,617,958,745,208,353,775,614,323,265,846,
619,336,062,623,954,205,555,730,714,639,055,057,520,784,791,423,816,171,574,
239,258,411,390,155,121,144,695,897,803,482,179,355,119,609,354,994,346,588,
586,664,918,277,360,701,834,821,630,448,314,407,340,278,806,740,311,319,656,
036,577,385,262,366,634,925,911,763,791,136,870,719,617,554,305,950,654,494,
694,209,417,139,300,698,739,095,100,699,573,464,211,985,604,657,706,704,003,
956,575,274,279,069,375,799,635,251,431,223,399,651,376,529,484,446,002,754,
020,047,613,446,318,634,246,019,771,384,590,075,147,267,334,387,495,028,766,
766,282,319,723,368,806,071,067,491,988,028,534,170,525,453,107,971,492,063,
421,420,988,517,989,440,724,156,294,542,942,990,738,836,403,490,471,286,283,
197,417,135,473,146,625,000,378,697,623,633,402,352,025,379,079,326,970,786,
161,819,270,943,779,907,201,088,099,089,004,037,316,744,719,821,611,383,557,
417,893,608,634,026,752,365,848,478,993,345,816,555,792,298,357,392,047,389,
135,947,539,185,389,644,188,726,803,348,222,226,297,751,990,905,384,013,319,
039,832,786,665,391,246,068,088,262,000,138,747,493,249,938,952,269,162,691,
651,562,120,647,603,238,864,260,997,674,364,413,535,389,383,174,519,428,963,
512,399,308,055,202,887,798,524,286,324,716,233,048,527,271,599,744,612,026,
269,139,347,291,208,416,465,654,797,750,903,081,495,664,656,563,243,485,947,
598,734,449,923,363,470,906,236,320,643,051,625,290,137,752,037,767,183,158,
287,403,657,894,179,410,561,429,205,547,823,096,254,286,103,524,919,092,175,
705,172,831,660,823,685,756,931,728,392,116,121,738,038,588,037,981,220,253,
946,385,306,921,863,033,036,829,968,658,696,486,178,057,830,327,302,854,921,
691,981,640,373,817,764,941,954,774,171,286,587,646,849,757,099,004,132,549,
064,857,130,804,094,566,839,270,437,379,962,306,838,520,065,858,872,233,319,
760,699,781,283,523,271,237,860,387,450,070,531,725,895,804,451,997,609,652,
645,408,812,400,169,197,429,773,467,930,093,554,962,011,842,295,895,513,652,
101,556,616,905,473,717,809,027,145,673,857,950,517,311,605,980,310,425,163,
304,175,737,603,716,784,881,235,210,437,093,278,495,662,026,255,844,295,354,
117,765,836,533,047,276,015,244,157,141,061,823,700,141,272,243,064,656,822,
326,422,234,717,126,165,701,141,828,481,790,110,768,741,532,843,684,872,303,
891,068,505,477,426,991,365,412,097,343,723,349,317,026,319,709,042,109,964,
963,951,079,728,233,963,548,010,023,085,264,382,383,273,240,075,386,445,891,
790,469,790,945,110,755,634,211,305,378,714,295,463,875,339,004,354,229,874,
247,823,335,343,018,312,879,923,623,802,335,308,983,667,656,547,827,337,984,
393,428,845,501,054,751,530,757,241,990,309,721,669,539,699,247,254,065,105,
490,584,407,547,862,416,930,074,748,557,478,651,590,408,413,375,176,890,238,
705,038,831,985,740,260,831,881,924,734,318,958,383,921,753,577,190,793,100,
860,418,780,168,079,925,820,513,708,885,796,112,964,351,663,756,497,404,253,
832,219,776,774,698,052,158,176,741,514,619,510,478,631,417,566,652,183,155,
704,576,142,564,988,303,845,118,877,731,782,631,589,030,783,880,014,623,477,
496,205,278,487,317,192,297,872,228,640,513,368,314,662,462,011,499,611,391,
020,269,559,685,381,540,311,946,945,684,760,767,680,178,315,880,971,613,608,
090,574,770,429,494,429,221,042,944,647,862,088,096,773,758,868,782,138,865,
292,924,440,848,979,470,456,106,020,122,011,422,009,112,654,578,844,429,375,
244,554,956,230,513,219,909,278,121,051,932,511,459,643,018,519,556,220,458,
430,212,692,438,086,672,104,908,807,775,184,434,149,574,045,070,023,388,317,
720,796,391,233,211,285,143,753,083,309,040,342,290,601,390,399,521,914,793,
057,465,279,102,987,065,770,485,874,621,865,124,057,671,075,560,151,809,766,
546,840,094,507,821,064,960,699,520,665,127,140,048,087,944,478,933,042,857,
773,260,576,579,164,527,500,866,819,891,837,148,295,876,541,862,108,604,162,
483,001,362,245,030,768,035,522,495,881,506,095,260,019,231,128,711,292,051,
383,785,807,675,971,559,008,412,511,865,637,166,904,174,756,922,239,228,934,
620,362,641,017,557,408,701,866,639,236,878,586,461,012,086,775,663,050,275,
594,245,762,796,714,831,167,786,905,971,507,288,760,184,016,916,517,852,010,
762,542,363,103,254,125,162,657,104,863,631,875,956,223,160,016,481,469,316,
955,841,453,599,764,145,461,256,353,941,315,390,270,772,578,730,077,637,392,
397,207,188,745,262,100,771,772,579,574,889,399,664,928,785,458,201,073,344,
495,253,939,769,985,724,956,347,983,573,021,640,269,141,562,888,036,339,868,
108,160,336,991,657,909,113,043,476,181,953,229,658,016,831,530,609,334,001,
117,137,313,681,639,220,554,167,161,110,394,451,974,458,573,342,244,667,200,
327,089,617,894,097,051,457,130,008,681,482,314,409,442,568,488,955,655,405,
122,013,766,250,860,699,973,976,226,197,206,858,685,613,160,375,571,577,991,
176,473,070,786,553,175,700,831,686,939,002,710,203,927,772,279,438,792,820,
512,394,611,102,270,922,461,278,111,112,034,987,892,054,699,310,557,005,211,
913,807,160,751,039,023,413,677,416,585,728,539,210,670,196,824,163,757,697,
155,016,503,242,564,060,985,218,617,206,906,555,126,695,637,412,446,963,014,
865,897,792,900,873,944,499,253,148,345,705,264,967,329,769,914,150,960,797,
638,665,388,838,207,520,439,031,023,969,751,045,604,386,546,638,328,972,715,
142,070,910,343,458,836,657,946,468,126,964,140,388,072,889,154,732,080,478,
957,894,154,376,970,965,012,431,024,110,718,755,391,946,767,748,431,535,097,
094,557,638,372,532,790,318,298,023,379,167,104,498,061,305,863,269,792,685,
246,336,409,507,798,781,364,604,784,326,635,123,247,177,388,712,090,636,988,
785,874,704,160,736,842,202,168,677,173,278,323,000,366,479,434,909,870,908,
426,535,721,084,023,392,565,679,120,925,489,751,189,170,613,999,397,920,065,
284,113,330,577,088,272,247,309,897,792,765,679,929,091,631,607,328,408,165,
357,499,642,021,119,531,905,341,162,154,753,197,109,325,505,489,925,819,552,
586,354,880,649,783,456,604,080,985,817,418,400,149,872,068,190,671,025,817,
737,316,668,140,662,433,329,215,801,790,345,506,159,575,701,324,839,343,797,
282,613,885,145,477,466,562,959,608,756,858,373,092,981,570,197,309,414,822,
646,829,937,325,462,918,736,262,767,998,247,148,674,395,373,722,638,883,956,
485,809,922,442,680,065,760,995,230,135,726,459,583,876,962,936,805,641,430,
404,265,766,962,515,719,018,029,477,056,643,285,743,655,552,603,728,253,723,
802,559,123,876,236,570,107,226,043,208,119,425,071,276,445,036,720,683,585,
353,855,442,429,292,642,770,562,122,298,327,162,967,048,796,242,675,848,120,
199,650,678,349,092,450,855,093,751,867,134,536,559,819,773,960,139,115,870,
537,254,653,566,627,489,559,756,962,608,364,308,143,905,884,341,504,770,966,
575,122,281,265,659,998,624,929,636,708,432,046,119,749,982,232,837,913,525,
861,012,119,788,116,725,069,803,274,181,558,301,730,154,499,684,809,528,102,
213,364,871,630,419,562,876,781,399,166,731,322,025,257,678,404,433,742,116,
762,197,807,276,833,050,612,363,760,877,706,143,762,037,165,736,283,495,548,
362,947,845,959,641,525,093,471,782,143,430,931,966,316,818,549,015,748,752,
111,288,367,163,611,851,752,793,758,043,951,112,634,827,221,086,356,811,642,
251,634,757,886,121,915,264,414,466,055,776,320,903,025,352,960,885,000,339,
330,291,556,981,141,260,936,041,233,029,910,881,119,527,756,053,519,142,313,
308,527,308,351,953,794,306,618,566,370,827,529,877,448,605,546,821,271,109,
902,080,554,038,425,075,953,668,784,028,905,419,531,318,169,607,309,350,169,
160,308,744,548,629,164,162,686,909,222,858,185,387,220,096,549,787,829,386,
297,611,283,993,951,005,502,448,036,478,348,719,316,583,740,682,151,562,994,
362,204,707,348,954,906,066,349,083,795,222,846,715,629,626,934,714,033,369,
695,745,940,404,822,351,931,149,522,881,432,256,123,590,137,457,547,782,079,
172,689,335,771,202,425,652,368,961,693,851,575,705,211,635,224,046,442,330,
656,108,128,974,314,420,709,084,150,749,165,189,197,915,817,267,820,094,039,
811,982,483,925,413,372,216,213,139,169,561,957,113,474,664,082,655,752,367,
478,884,793,540,061,053,346,078,873,474,033,061,199,750,703,366,974,070,282,
552,277,765,281,440,502,576,332,799,219,949,430,969,414,404,754,194,617,214,
049,236,731,933,249,044,370,517,390,455,874,708,192,718,805,721,130,651,645,
620,277,636,507,300,817,075,121,076,662,989,105,783,861,718,689,993,061,263,
156,076,923,405,790,804,597,322,915,984,149,861,478,895,327,785,192,054,192,
371,500,829,430,556,217,925,143,496,275,349,930,783,525,095,372,894,022,278,
096,000,089,679,340,078,280,899,343,519,881,233,771,970,401,858,238,058,884,
376,641,427,715,846,728,691,827,785,918,536,323,556,931,859,410,358,498,455,
711,853,137,293,370,241,763,917,631,114,770,896,829,573,327,690,616,961,402,
212,135,416,271,695,396,594,700,806,394,061,224,615,890,533,886,930,095,346,
581,488,301,532,743,751,568,632,156,429,970,000,556,354,948,776,924,324,791,
833,035,601,888,096,977,371,856,466,836,190,007,145,621,907,342,620,369,040,
932,947,357,697,724,302,217,978,304,039,577,494,928,573,780,629,475,647,567,
575,058,542,388,361,214,915,291,937,538,168,613,798,968,912,089,046,380,081,
863,211,421,478,669,503,987,868,026,037,831,555,429,880,473,043,708,973,887,
839,534,299,947,248,148,789,110,380,391,943,979,122,830,426,187,912,885,473,
779,912,467,599,597,927,367,828,129,546,128,728,374,204,846,815,675,123,234,
633,434,228,897,606,232,203,466,966,040,545,039,748,820,888,936,279,926,938,
243,297,790,295,719,158,179,762,846,046,176,245,840,174,132,978,432,226,931,
881,953,565,793,956,511,860,349,847,985,026,888,907,190,155,868,612,025,097,
236,034,379,516,781,703,905,968,648,537,884,990,734,912,790,555,829,067,785,
924,542,484,435,303,944,477,393,758,708,121,807,302,722,778,314,093,562,125,
979,031,276,610,562,165,222,693,452,643,399,651,942,579,090,246,763,547,920,
606,436,746,290,226,340,068,166,895,215,325,566,075,884,213,344,815,621,569,
641,910,149,613,739,664,728,251,099,286,007,273,961,611,119,778,780,739,253,
104,250,967,091,923,858,115,007,556,121,105,267,159,293,378,867,638,290,712,
860,654,069,046,712,639,369,345,723,090,423,198,068,413,756,104,233,253,549,
802,483,377,472,182,416,147,603,597,339,494,191,837,447,828,777,991,422,631,
489,631,705,305,527,046,555,958,968,130,993,411,256,422,312,487,689,518,399,
023,619,712,607,528,520,193,261,086,244,009,735,991,026,383,074,656,761,455,
713,545,939,752,815,629,759,499,502,057,313,878,979,679,553,865,180,502,529,
002,251,728,218,418,056,653,862,199,321,178,377,193,187,436,261,557,246,560,
660,645,348,979,287,319,123,700,622,255,641,186,622,367,674,707,664,660,069,
815,787,166,568,717,925,553,386,019,779,455,110,501,912,341,527,104,159,037,
002,410,632,446,605,654,079,167,341,107,834,299,660,337,261,760,706,738,800,
022,674,705,163,226,269,393,154,244,305,338,985,167,820,248,575,532,023,542,
232,537,093,815,635,934,872,121,909,948,085,838,608,289,412,621,618,950,487,
146,708,256,696,959,956,008,640,680,994,294,498,717,368,189,952,205,569,846,
482,296,176,914,400,684,707,892,208,270,355,532,536,883,180,187,200,621,700,
548,868,359,567,970,472,835,814,024,610,005,693,226,822,149,661,643,795,726,
210,040,078,123,252,517,991,564,714,162,448,982,065,244,478,125,906,043,656,
226,973,340,916,263,376,253,166,538,056,912,169,447,623,444,087,855,650,316,
046,558,474,290,118,615,391,056,368,008,127,456,145,825,299,709,574,070,233,
536,028,342,942,427,312,448,701,357,911,256,606,802,936,565,508,940,831,851,
033,012,322,353,827,334,759,573,157,949,438,286,158,844,080,322,220,626,825,
088,430,511,268,003,683,876,212,399,719,456,086,144,450,125,401,270,521,010,
924,489,368,229,059,974,095,780,829,036,864,902,504,043,804,944,982,952,716,
960,185,101,847,139,605,350,046,434,889,158,297,212,907,224,589,943,895,482,
843,656,080,298,773,068,184,902,397,938,295,036,741,587,713,690,647,325,160,
409,143,781,373,994,675,341,979,683,861,561,778,951,582,324,911,772,295,395,
934,486,080,205,116,677,462,170,507,151,735,852,063,220,852,283,004,027,837,
377,401,173,427,103,098,438,412,251,937,101,163,156,475,317,375,392,643,127,
965,504,428,952,416,991,379,518,635,517,530,353,485,798,164,407,561,264,205,
539,827,726,947,494,654,119,366,401,648,113,649,984,260,575,848,492,555,560,
749,519,913,502,996,186,145,167,665,744,042,261,375,269,803,102,027,235,721,
004,195,271,635,314,563,898,517,067,577,310,838,347,813,701,164,266,337,110,
750,306,297,247,294,829,995,186,759,839,228,754,821,094,378,861,255,308,841,
792,296,202,618,980,080,211,294,903,648,125,872,347,197,669,930,065,782,898,
366,113,885,954,046,003,856,948,583,013,855,093,174,252,671,653,869,984,209,
373,848,616,359,124,016,489,336,581,463,259,239,805,766,300,345,674,608,642,
840,021,367,004,318,191,953,443,048,987,790,986,714,412,319,123,477,325,617,
308,102,001,878,623,498,173,255,289,740,657,986,298,648,496,529,587,133,565,
479,244,758,667,257,613,380,789,857,315,494,692,300,483,328,695,445,320,280,
277,794,038,477,439,203,150,391,900,912,587,579,979,882,212,860,287,105,677,
338,913,494,543,197,011,668,725,990,233,349,442,758,472,801,488,768,497,111,
190,882,703,434,820,449,872,558,850,630,172,946,256,983,315,338,709,334,148,
885,546,787,966,496,672,808,081,449,913,820,092,265,626,509,848,874,395,795,
554,370,173,085,176,995,759,914,044,031,637,227,300,165,895,947,377,576,664,
894,281,158,267,396,533,926,201,873,199,356,956,163,750,835,114,272,577,900,
316,094,480,017,519,095,002,736,385,021,934,813,281,863,641,138,120,702,591,
191,294,408,581,926,677,297,382,562,572,786,647,600,438,908,044,496,617,336,
536,416,460,037,623,458,166,631,495,479,033,369,121,316,836,693,172,784,154,
011,058,144,170,114,978,495,614,620,433,306,274,108,167,351,854,469,955,934,
052,443,695,935,605,835,004,515,783,888,723,146,550,599,336,167,525,814,236,
703,704,891,249,953,272,542,473,066,556,564,086,743,900,635,234,812,574,978,
614,717,819,877,321,283,925,060,900,402,898,771,581,061,926,704,802,560,853,
518,393,793,047,678,444,960,501,145,638,005,995,301,631,582,584,021,683,260,
092,163,877,744,627,325,245,483,731,236,875,471,461,720,790,380,664,404,276,
977,040,227,479,128,949,718,592,428,241,716,603,129,880,992,694,656,889,383,
924,407,268,528,742,052,093,546,670,839,934,532,343,133,797,542,595,875,958,
115,277,010,695,763,168,001,492,386,242,139,292,885,029,092,908,975,095,888,
539,164,280,429,558,948,496,347,324,022,829,493,361,836,356,236,269,044,609,
324,096,803,042,073,540,973,974,562,041,478,127,353,462,081,227,725,658,128,
159,905,304,486,900,682,296,834,782,640,522,046,239,706,848,344,747,616,917,
916,663,795,794,330,708,718,573,265,493,724,088,622,024,005,124,562,965,045,
164,760,824,635,325,319,173,171,339,632,457,303,650,279,397,369,746,176,681,
687,106,283,140,706,934,963,268,056,827,052,036,892,242,239,282,419,509,974,
224,797,225,090,192,434,803,672,925,724,095,656,045,350,570,734,245,302,143,
916,976,034,574,767,721,456,254,180,376,590,006,922,715,373,835,488,886,014,
314,947,592,795,300,305,941,614,422,788,416,597,525,433,515,082,016,245,300,
157,903,859,803,126,388,870,713,073,931,951,141,243,078,310,065,775,986,305,
408,982,482,748,299,714,654,473,021,191,197,006,177,281,529,733,092,251,464,
912,588,284,172,888,504,739,060,885,744,955,245,588,132,294,896,002,658,279,
137,246,539,844,091,495,734,412,712,824,151,639,709,697,688,617,776,192,379,
966,091,321,934,046,315,152,567,711,293,248,703,696,738,723,680,016,622,124,
811,081,688,901,358,795,139,283,249,665,196,915,268,471,918,968,108,832,188,
635,206,531,728,673,837,332,959,865,806,635,696,418,642,365,194,453,848,255,
729,084,689,848,954,033,167,031,631,839,364,511,015,647,120,794,039,562,816,
958,710,096,051,436,470,046,460,452,374,262,352,008,347,304,439,343,909,475,
039,601,262,195,657,915,862,732,314,936,339,955,748,619,862,409,659,832,102,
042,512,304,583,579,478,359,735,633,147,816,258,720,484,916,941,362,271,796,
609,283,450,856,361,439,252,251,381,984,702,533,957,827,588,928,131,481,664,
147,939,045,662,027,775,103,143,058,356,356,641,688,108,488,925,622,190,880,
556,002,806,818,056,078,084,651,984,599,922,418,899,354,851,645,689,014,873,
264,110,989,826,356,541,701,268,843,815,671,614,895,615,189,099,644,197,422,
439,090,571,094,313,223,051,283,676,283,807,024,760,241,016,632,399,308,027,
421,576,692,553,135,547,406,592,947,498,983,469,584,022,657,077,415,327,464,
761,769,092,514,019,836,833,256,821,352,613,921,424,099,280,603,934,300,200,
665,291,543,842,167,402,942,853,926,815,502,994,090,492,615,826,132,944,373,
510,880,075,504,894,200,848,313,351,485,813,935,548,600,605,546,818,559,940,
845,515,033,999,162,045,614,745,551,696,912,802,759,313,905,156,137,042,697,
414,506,882,780,001,211,749,965,950,098,311,528,447,660,277,800,940,061,684,
064,760,198,459,443,994,758,694,024,111,787,105,833,103,843,082,415,530,021,
031,183,342,893,857,813,587,341,366,477,089,627,017,337,354,051,080,338,198,
188,739,183,078,024,279,246,333,235,510,628,614,115,049,755,071,435,888,552,
406,689,949,988,922,500,998,979,243,963,925,186,082,460,251,988,931,282,762,
190,104,114,131,142,100,428,098,136,315,374,688,626,331,112,783,751,015,318,
403,921,462,712,930,776,576,441,439,161,601,373,827,145,890,611,968,031,293,
181,222,414,866,911,574,373,204,403,102,951,399,568,543,958,670,460,430,889,
497,689,194,803,373,810,785,586,159,149,308,328,256,534,102,084,875,091,952,
842,165,861,155,495,258,377,080,703,720,402,266,604,495,409,441,630,590,344,
508,486,382,714,706,930,106,750,051,677,658,638,079,514,014,050,778,757,565,
387,461,892,032,517,186,726,824,462,608,310,851,503,165,752,796,093,984,220,
285,452,586,876,102,883,284,872,114,821,639,834,639,812,529,343,263,725,616,
052,926,161,712,897,076,492,848,714,366,387,731,200,349,052,518,286,489,179,
006,497,827,042,933,153,449,900,135,467,371,060,574,894,180,762,660,440,491,
357,995,662,791,307,822,012,109,427,298,967,329,890,124,696,193,221,679,507,
991,818,672,690,569,824,894,067,882,790,837,434,621,206,306,333,513,511,154,
191,720,508,396,266,739,250,937,337,155,822,968,334,174,290,535,541,028,008,
723,892,224,494,000,648,685,540,198,200,687,468,265,020,320,730,115,253,488,
767,853,221,684,453,167,201,368,336,776,997,635,134,033,598,675,765,341,382,
606,158,404,621,135,476,082,116,957,577,114,371,855,667,394,768,436,064,064,
879,145,831,342,032,552,008,249,805,918,000,732,650,753,842,030,782,000,874,
466,317,502,135,621,583,590,930,964,410,249,204,783,614,533,875,168,365,952,
701,440,164,498,358,309,635,426,483,060,844,039,769,505,902,291,730,630,664,
901,465,366,097,226,836,295,654,149,624,142,711,816,063,144,282,506,951,924,
132,244,061,978,414,949,398,577,902,387,355,157,042,547,654,454,660,295,099,
187,109,784,322,523,008,226,197,015,907,927,576,817,523,798,468,623,242,626,
954,947,274,868,899,477,100,889,922,191,643,475,382,868,671,596,067,497,008,
170,555,405,995,234,312,926,818,980,271,998,389,592,957,293,558,748,896,661,
654,281,549,212,803,379,182,414,313,740,909,232,726,956,679,883,718,402,316,
160,419,901,365,886,116,801,230,990,709,331,923,899,628,239,707,699,558,060,
410,304,297,245,735,495,992,536,978,565,172,089,226,831,001,210,068,645,822,
471,553,035,902,395,353,275,261,634,947,685,109,724,253,546,760,072,822,155,
320,203,001,352,607,235,921,438,359,703,891,878,503,533,248,515,099,474,159,
013,186,512,755,196,986,422,961,528,366,915,312,698,455,166,410,644,343,829,
160,638,471,668,943,327,508,272,458,932,522,597,369,494,255,178,548,770,639,
619,196,677,385,770,715,908,112,430,708,392,337,547,984,910,811,493,574,458,
777,392,154,285,652,169,134,332,857,955,116,691,384,183,202,302,604,648,244,
416,948,538,641,943,617,826,651,832,974,160,472,548,354,587,533,365,027,511,
872,354,644,717,177,889,735,521,347,074,460,484,774,252,473,719,858,341,595,
905,508,424,974,706,058,187,935,824,395,455,695,749,322,326,079,055,216,064,
582,326,746,075,180,003,560,195,800,996,369,370,864,855,655,016,162,380,516,
276,130,490,473,281,614,596,533,841,342,121,221,670,188,933,323,322,598,765,
441,792,640,225,957,633,575,478,394,653,078,559,557,012,806,252,155,071,501,
566,271,357,667,841,184,981,250,792,630,206,138,191,310,400,477,734,848,057,
707,673,104,149,828,431,314,753,828,849,757,896,266,254,531,101,948,228,881,
268,672,545,768,474,226,239,331,227,017,042,606,937,610,453,758,439,161,371,
310,354,327,238,400,247,428,414,404,795,468,319,021,265,635,314,462,133,765,
398,457,389,269,685,760,010,970,767,065,490,439,529,641,109,421,010,520,416,
849,868,740,048,194,187,972,812,514,179,311,625,148,356,269,337,582,954,905,
678,368,119,907,899,599,596,309,170,719,764,108,050,968,380,224,007,484,025,
677,045,533,971,756,823,882,738,971,510,077,833,875,033,814,060,701,285,231,
652,797,174,877,783,838,178,459,483,342,932,777,063,800,888,363,914,045,602,
976,517,853,325,279,508,567,060,415,045,856,052,531,503,466,106,933,166,412,
513,463,074,737,052,104,197,712,820,410,443,429,215,253,180,898,542,990,843,
433,081,125,880,433,512,764,311,536,253,340,158,020,270,486,541,249,687,452,
620,274,737,490,146,224,551,362,239,260,779,652,712,990,452,023,806,977,637,
243,122,520,275,523,094,356,197,872,179,895,222,041,367,126,370,499,402,121,
438,099,877,021,334,347,354,015,189,062,347,476,166,115,736,407,209,256,442,
779,155,027,118,697,582,050,090,607,475,401,197,922,949,665,757,907,927,757,
100,238,312,798,858,000,553,662,065,482,419,416,123,342,712,248,621,835,047,
579,470,115,372,996,497,293,201,599,239,778,567,872,044,052,764,007,894,557,
211,694,222,391,361,990,407,078,463,061,292,381,190,116,635,841,488,222,717,
357,893,734,203,563,762,460,171,478,046,759,896,707,206,946,557,209,872,614,
587,071,448,467,920,286,559,325,353,302,132,570,082,891,106,612,972,699,380,
318,861,820,060,674,238,210,610,995,102,403,133,741,157,194,479,627,201,778,
875,452,870,303,055,905,053,076,791,480,781,013,358,346,761,141,474,465,943,
480,745,864,946,245,042,109,737,901,296,604,199,717,467,321,079,874,341,016,
363,831,086,722,722,983,974,670,316,353,684,106,656,882,229,664,575,624,971,
175,128,882,455,333,267,559,925,894,785,891,000,534,024,288,398,338,801,616,
044,634,669,255,947,605,302,705,749,208,725,222,859,973,729,329,488,441,426,
220,303,786,037,268,716,306,204,069,922,646,173,515,573,483,418,423,578,760,
253,022,462,927,371,689,887,550,190,269,229,491,412,471,033,908,183,924,185,
269,987,596,713,494,054,899,299,778,657,577,289,739,256,725,538,294,026,419,
027,352,735,710,541,848,051,473,274,057,392,959,436,880,638,755,138,386,033,
580,953,380,060,870,714,978,369,220,914,958,742,947,325,893,708,059,849,887,
969,486,774,063,773,180,061,172,566,719,682,537,072,338,239,401,961,958,990,
515,827,071,119,412,947,515,486,742,440,881,395,511,278,587,145,274,164,312,
814,732,056,082,145,983,579,546,283,586,345,015,378,634,243,519,390,083,678,
678,150,826,582,205,139,790,205,943,416,646,600,028,801,161,019,394,938,782,
772,461,039,548,458,044,016,889,882,902,007,590,475,700,313,641,764,185,945,
912,614,429,910,719,114,591,260,766,294,243,168,210,566,294,949,144,801,990,
155,075,710,016,158,547,617,866,526,519,582,760,262,052,969,542,035,492,297,
793,387,335,835,606,887,939,752,445,298,174,553,997,472,242,607,722,464,935,
354,788,951,935,551,262,793,437,747,033,602,566,515,795,635,513,257,272,102,
229,563,609,639,663,907,959,010,721,657,880,160,074,856,934,264,784,087,353,
070,679,683,804,983,447,399,567,016,624,935,995,023,296,034,603,232,747,430,
247,188,271,640,817,489,242,422,591,690,728,156,611,904,849,632,409,890,589,
947,398,132,572,150,684,540,914,844,678,006,666,318,893,893,108,463,022,416,
271,452,291,268,753,493,685,765,671,645,200,386,923,434,387,157,598,973,588,
560,602,278,622,172,580,507,177,289,591,879,637,122,276,899,770,329,988,411,
675,578,392,761,571,311,836,265,368,788,700,581,595,367,260,145,568,018,612,
942,374,035,441,836,957,570,423,639,137,628,405,502,565,030,707,296,965,650,
751,476,694,816,230,811,439,385,528,987,923,623,910,627,498,968,018,414,509,
982,547,287,128,858,115,222,172,418,363,740,652,780,418,540,712,325,620,221,
005,388,889,481,921,621,187,193,836,051,250,768,226,837,384,435,495,977,561,
792,862,688,577,752,064,991,195,401,977,154,605,413,263,578,923,288,293,025,
143,134,683,965,860,775,260,265,921,175,530,878,927,452,037,786,464,853,949,
727,774,435,511,681,707,532,864,298,177,066,459,325,857,799,308,679,451,391,
846,515,834,293,162,844,181,881,958,935,246,582,919,029,298,849,909,750,205,
571,287,245,507,340,987,591,515,027,650,436,080,021,549,071,917,593,781,159,
083,397,079,633,558,744,214,788,083,982,957,702,707,891,973,339,346,223,605,
721,983,470,805,140,810,255,830,958,758,339,250,786,041,318,941,835,015,924,
354,360,408,317,489,236,152,561,182,610,345,989,724,771,593,768,275,138,741,
528,800,005,226,524,743,758,548,790,327,897,435,260,778,265,332,399,122,671,
974,079,417,236,675,959,197,590,095,449,684,826,014,559,384,631,230,348,752,
970,091,305,387,329,152,526,429,704,641,058,962,852,079,682,011,966,506,107,
693,140,972,570,529,195,537,732,824,543,322,941,582,526,960,533,679,973,201,
748,546,396,739,856,544,537,503,412,484,119,990,603,748,986,571,548,974,843,
869,273,920,522,722,845,437,227,850,412,863,885,286,429,581,796,725,312,900,
699,944,297,479,650,586,147,844,148,141,545,491,850,042,283,796,959,066,522,
486,716,762,404,794,498,155,241,593,455,964,769,968,174,857,219,822,407,975,
855,131,993,386,282,853,718,999,357,326,415,434,345,423,518,620,128,587,369,
118,390,545,995,419,706,764,584,411,810,667,910,935,720,093,595,054,896,260,
010,657,406,582,194,355,214,880,929,224,470,966,130,562,623,315,281,056,207,
391,436,694,690,085,584,087,364,387,759,513,870,875,736,802,552,304,631,662,
118,663,803,778,562,366,059,418,657,879,283,235,045,804,602,454,363,746,256,
816,666,148,291,144,957,231,762,249,918,251,313,073,667,200,140,732,959,650,
841,103,205,124,002,440,426,198,668,715,095,281,557,600,620,236,628,786,236,
067,699,945,690,564,098,138,138,447,211,335,282,399,560,499,576,272,244,034,
323,844,883,308,831,825,723,230,676,550,310,961,966,181,952,264,579,621,091,
638,406,029,278,520,103,084,068,495,699,982,896,558,612,472,502,476,987,891,
460,026,491,734,831,514,310,688,408,562,931,227,268,227,808,244,106,260,174,
564,040,464,082,054,007,424,666,688,476,083,207,779,729,515,077,525,550,292,
971,298,061,040,457,137,177,653,646,597,215,241,810,756,520,283,529,204,606,
330,461,173,358,663,105,905,931,749,170,125,660,456,195,691,241,748,359,837,
972,142,728,998,823,906,641,259,403,790,275,803,781,821,555,397,911,044,158,
898,984,796,390,093,331,060,404,957,076,608,685,610,362,454,933,187,684,426,
763,859,024,283,950,468,955,029,389,541,711,611,412,443,179,598,031,573,262,
717,205,901,935,002,021,418,809,038,778,310,441,289,043,160,551,242,600,535,
600,306,485,916,313,895,699,942,308,584,783,314,609,780,310,880,140,598,476,
569,733,650,276,278,278,759,089,751,456,955,782,566,671,064,137,606,446,851,
934,705,845,478,871,038,955,491,880,705,190,949,999,378,569,994,287,035,439,
098,059,990,811,301,037,768,788,921,778,627,030,315,833,935,005,734,683,406,
880,871,982,607,879,806,695,355,007,756,128,376,708,484,633,565,201,525,489,
869,845,983,519,513,011,994,633,788,512,024,035,062,176,081,741,916,015,155,
713,634,194,584,427,475,965,035,602,538,821,671,522,947,102,932,168,634,239,
175,381,060,355,477,493,311,782,341,591,346,221,235,866,693,194,024,606,801,
619,841,850,392,931,136,125,188,309,928,721,360,839,156,347,234,095,865,004,
297,789,707,431,357,385,661,197,121,124,310,112,556,614,721,092,183,549,337,
547,034,136,895,091,808,106,015,900,916,983,662,228,377,034,569,434,587,035,
128,667,444,051,238,444,310,697,382,842,474,907,037,760,692,436,118,601,798,
274,521,200,194,650,326,147,125,899,579,706,036,641,994,223,036,494,985,151,
919,341,120,993,691,584,721,315,194,499,215,539,172,758,619,968,948,029,786,
464,090,706,902,646,547,610,230,343,485,286,458,471,872,976,313,014,318,252,
811,169,975,278,244,667,191,184,283,065,113,696,354,610,346,570,971,353,936,
900,088,485,665,372,916,190,179,772,215,612,005,243,915,718,585,641,869,213,
771,623,820,916,503,897,040,950,838,898,599,732,576,718,031,749,194,375,314,
819,927,912,532,671,617,312,179,001,400,751,877,976,437,520,717,370,013,604,
747,204,333,370,594,423,196,911,054,073,244,688,006,821,330,417,962,159,372,
105,569,908,774,451,541,018,990,518,489,318,809,186,620,922,078,904,184,816,
694,532,706,085,929,311,912,289,217,124,169,318,418,204,537,654,977,673,562,
092,815,709,800,734,674,430,367,256,777,349,122,585,292,895,775,332,652,458,
400,885,850,400,189,539,650,447,030,938,704,851,239,465,901,268,985,419,787,
780,859,783,166,829,844,951,254,720,934,296,883,432,769,725,699,386,593,551,
682,320,924,356,844,011,106,606,612,423,694,397,466,892,333,687,896,040,953,
899,080,544,915,979,453,026,158,761,629,518,761,314,093,022,222,290,248,498,
813,402,669,307,601,365,029,009,202,095,911,577,831,501,263,975,986,213,325,
832,161,696,913,120,003,941,123,960,949,017,903,381,036,447,558,849,685,855,
358,818,346,439,602,154,609,507,627,889,453,194,296,834,660,003,188,903,037,
006,117,031,502,203,513,501,324,618,774,099,959,370,782,624,159,018,605,307,
763,284,494,728,068,985,362,616,342,479,211,545,167,032,926,888,627,394,246,
356,218,229,817,460,936,483,016,009,491,305,590,002,610,859,598,905,749,495,
936,913,818,676,730,535,913,500,654,512,545,564,651,677,942,729,911,710,089,
635,110,015,660,308,761,281,141,467,192,147,157,020,786,132,022,245,474,894,
830,742,077,244,288,762,933,121,111,781,488,503,779,879,751,069,412,905,751,
385,359,736,096,946,235,914,458,549,699,704,697,680,195,327,041,990,146,546,
701,207,175,842,676,239,543,551,131,932,158,611,077,700,595,505,176,536,764,
472,106,845,422,002,153,176,164,056,769,879,402,955,822,520,556,233,915,720,
810,921,777,859,562,674,574,532,049,422,520,290,908,560,157,518,927,435,921,
119,943,130,684,872,616,565,877,957,974,761,547,386,871,008,521,985,802,241,
213,368,778,567,371,141,379,481,776,136,342,662,704,352,833,760,602,459,602,
804,734,683,457,795,915,286,572,983,227,610,509,989,134,681,495,404,768,125,
793,382,377,584,586,244,234,640,489,816,543,975,602,748,603,007,617,251,172,
187,119,858,306,667,373,383,697,912,905,842,379,933,028,685,563,572,676,549,
180,079,715,208,353,484,061,144,431,027,241,457,421,571,707,270,352,617,807,
467,176,709,720,974,110,950,787,730,630,732,040,290,468,748,095,397,313,508,
690,132,860,029,151,192,941,459,077,528,251,245,382,358,246,153,244,303,613,
894,916,563,535,323,998,862,421,729,572,663,340,618,336,761,686,125,311,102,
247,334,883,887,530,242,649,622,627,843,741,989,923,527,974,076,704,421,341,
690,772,598,051,205,707,961,772,438,128,179,835,526,839,563,535,183,112,745,
495,326,844,536,701,488,474,524,217,426,836,302,635,190,047,968,769,516,737,
079,474,673,874,016,123,810,778,902,075,834,981,961,017,871,342,938,812,706,
622,655,193,792,448,951,435,660,551,317,317,253,506,985,886,858,503,398,014,
744,767,680,494,260,832,487,743,266,809,071,326,153,386,652,309,391,710,694,
903,761,659,426,932,266,141,355,786,714,229,061,231,635,046,751,621,798,590,
603,798,296,566,120,130,453,233,394,093,407,811,830,386,985,011,299,385,068,
959,492,671,469,518,765,162,579,087,154,477,112,967,518,736,669,208,283,171,
430,195,006,977,574,631,432,172,432,024,147,820,675,809,977,405,096,323,081,
141,333,247,100,436,811,646,455,820,785,823,086,083,875,382,317,611,285,699,
728,641,340,227,101,507,914,252,501,130,279,362,468,986,977,982,015,030,391,
111,982,852,855,943,493,183,499,514,961,890,062,716,321,044,764,940,244,305,
747,912,281,641,296,901,830,884,456,770,967,422,449,989,248,143,560,299,631,
546,336,519,894,377,018,366,341,730,864,900,887,203,170,633,771,236,462,476,
208,857,825,973,031,195,621,156,227,446,897,956,884,159,548,585,175,096,204,
478,726,387,150,341,334,179,347,017,463,201,321,945,049,853,540,729,226,588,
241,970,475,590,249,187,605,139,591,996,011,089,494,608,607,944,036,435,479,
836,122,144,540,036,730,708,208,843,994,123,133,663,772,565,202,124,671,299,
448,591,299,930,667,165,056,567,494,644,704,741,662,457,463,305,883,883,691,
640,249,853,503,943,273,593,847,855,625,703,621,755,033,000,829,149,716,996,
162,548,160,814,775,691,977,094,171,994,304,036,701,642,250,734,704,800,697,
990,829,336,184,740,170,903,373,309,691,293,864,907,335,160,092,799,926,344,
789,735,217,419,839,482,432,640,926,641,279,998,344,757,037,826,107,935,372,
480,352,971,120,051,392,900,436,196,521,684,463,471,556,688,468,906,216,545,
353,960,764,563,695,960,914,394,543,855,664,794,012,745,787,053,058,654,110,
045,589,027,040,982,377,623,847,249,692,576,612,271,184,348,257,378,091,423,
430,414,583,843,937,114,012,669,279,685,658,914,715,046,035,382,215,486,504,
992,858,011,817,188,370,082,068,982,625,947,849,125,331,470,258,013,051,100,
636,964,728,419,474,656,129,648,168,534,698,945,089,755,185,595,594,691,859,
630,923,510,676,634,244,025,602,042,201,754,968,084,023,560,124,959,678,724,
750,049,800,969,953,812,774,976,261,564,453,185,693,846,652,154,694,650,262,
424,957,845,148,394,223,830,157,532,108,006,246,311,200,741,692,416,852,377,
378,597,210,341,704,312,141,744,398,405,516,692,358,031,000,347,549,960,283,
398,573,681,639,027,843,909,558,556,713,725,424,665,349,181,029,568,471,032,
521,144,945,087,484,039,746,813,594,219,040,182,915,736,022,881,173,155,329,
725,167,544,114,258,949,395,868,587,906,791,578,265,170,829,563,006,030,961,
977,172,129,725,183,426,129,779,304,202,180,554,016,509,517,440,419,011,801,
356,983,392,036,559,999,808,622,581,980,167,557,795,825,459,437,541,311,605,
616,624,239,207,392,742,192,821,120,870,254,604,399,186,570,637,873,609,394,
229,742,441,543,958,814,072,195,568,285,452,914,094,824,063,134,396,695,149,
442,369,732,277,251,427,117,688,722,288,518,880,356,709,750,560,471,091,154,
439,635,448,072,059,296,219,359,617,378,915,595,520,859,027,966,504,124,840,
908,985,036,916,936,371,973,982,648,342,620,477,920,931,132,188,316,657,620,
384,067,434,744,377,949,545,551,978,600,687,225,130,788,461,670,272,921,908,
196,414,506,109,695,041,412,848,140,147,834,541,594,773,168,758,585,542,615,
633,195,282,762,738,251,167,391,891,203,663,349,076,773,499,802,593,107,433,
435,204,840,286,242,535,034,344,955,739,878,193,304,002,952,075,978,630,425,
303,770,362,506,761,484,227,331,547,554,392,694,136,898,768,911,553,580,311,
399,768,351,483,977,200,328,861,534,326,445,924,931,689,086,945,216,612,768,
018,570,179,565,427,633,753,158,545,792,368,226,357,126,346,068,182,467,757,
997,118,986,468,431,338,469,358,698,542,789,254,526,231,992,268,646,682,915,
292,911,313,166,935,850,973,232,487,640,599,415,039,560,888,772,969,872,614,
100,400,736,780,344,716,085,582,089,603,138,099,488,803,300,587,519,002,277,
842,130,357,142,328,678,793,840,100,746,427,651,052,261,531,555,319,227,949,
193,162,822,928,843,458,077,820,339,660,105,882,143,912,537,653,239,634,937,
695,486,947,194,746,154,143,299,757,995,897,251,347,015,969,564,154,731,810,
286,632,059,390,476,358,326,292,481,799,420,866,575,053,507,324,122,583,796,
236,001,659,280,583,282,855,796,452,039,744,676,155,394,664,373,996,561,040,
522,278,020,957,320,153,287,222,882,397,484,231,845,966,282,687,275,820,959,
325,355,229,447,828,708,604,462,511,003,537,452,250,355,286,452,793,654,023,
915,893,794,667,855,209,279,784,530,884,687,274,132,887,543,674,880,398,283,
111,668,315,731,965,185,837,197,279,541,798,823,407,378,843,183,162,480,559,
249,997,468,851,716,310,453,803,195,255,828,634,887,562,300,057,205,338,875,
097,286,357,064,927,869,186,759,254,277,140,207,228,274,397,051,320,284,609,
468,598,054,526,292,105,472,417,000,341,851,911,518,636,072,319,378,296,361,
322,612,908,776,002,312,439,896,225,698,854,911,997,645,781,268,911,751,971,
068,241,255,333,184,773,233,764,418,393,661,245,433,737,746,789,123,430,138,
793,617,774,308,749,433,146,280,387,964,711,681,299,334,422,800,342,559,674,
778,898,198,854,412,276,984,810,522,650,107,961,241,423,103,224,302,079,206,
294,233,434,972,397,030,545,296,870,814,741,769,487,197,727,739,858,194,355,
827,857,234,997,917,503,734,793,733,572,870,278,164,832,814,324,773,062,701,
892,417,636,647,574,787,487,866,931,007,649,363,919,836,036,446,346,244,172,
084,243,344,912,462,460,583,275,051,353,146,366,845,579,239,394,307,902,789,
820,421,805,148,181,004,486,426,857,781,946,854,599,146,363,482,362,536,287,
916,625,342,106,184,674,343,419,397,431,868,970,031,030,969,725,672,967,907,
428,184,832,808,838,779,711,048,272,902,442,357,279,699,029,018,381,312,928,
864,902,388,083,335,470,639,771,851,409,161,830,611,285,108,687,549,459,350,
970,954,334,091,426,978,567,311,936,054,501,623,527,823,388,413,049,157,783,
365,466,740,127,515,071,045,030,968,453,721,600,405,864,404,053,405,201,161,
251,481,192,968,242,418,163,638,157,882,926,411,803,529,307,347,493,369,441,
382,819,337,948,111,464,777,091,685,353,211,730,406,292,597,302,249,706,925,
420,864,797,507,902,447,228,609,518,010,252,600,021,279,967,499,515,901,047,
183,879,435,399,844,514,357,912,409,895,043,594,179,582,027,786,090,053,331,
432,216,534,170,282,294,236,087,854,903,297,162,954,346,848,603,821,750,114,
929,260,422,022,559,078,436,990,589,799,926,415,385,601,996,520,777,465,863,
851,210,953,350,487,395,618,582,410,731,176,209,180,468,943,957,820,548,683,
384,444,189,819,988,426,610,513,846,397,850,921,521,041,958,416,686,501,744,
955,826,385,491,633,038,256,301,886,839,674,134,598,169,200,658,800,815,649,
081,862,334,225,838,660,934,260,670,843,699,607,487,930,589,762,516,357,574,
267,271,056,032,278,016,152,000,499,848,852,704,603,286,934,783,691,125,122,
755,245,487,175,500,222,101,064,520,274,518,538,522,315,043,943,094,475,130,
309,761,196,545,279,269,595,039,211,880,403,887,316,302,878,395,901,243,959,
286,934,243,800,987,296,075,135,186,726,141,240,577,938,008,988,005,818,483,
243,114,274,744,272,853,050,800,028,972,596,619,593,460,834,896,000,450,051,
367,672,668,811,080,606,607,531,471,226,906,989,268,169,113,245,042,716,752,
352,660,757,284,302,401,206,602,162,248,101,325,612,158,434,283,300,125,403,
112,441,763,359,162,056,194,080,632,486,832,311,945,206,914,231,710,736,177,
168,436,577,515,418,239,628,378,553,971,754,389,459,594,209,623,365,416,178,
630,965,251,657,366,021,777,711,454,691,906,809,910,953,049,630,489,275,967,
988,947,585,991,825,496,316,344,551,704,731,735,144,834,316,151,270,299,854,
071,692,184,450,242,015,296,349,285,428,708,721,236,387,950,495,461,692,293,
667,647,303,112,704,853,318,813,796,510,696,854,535,795,331,154,463,554,255,
535,370,120,869,316,864,169,700,595,565,129,106,435,301,374,471,418,793,011,
022,902,348,312,344,527,107,921,133,849,514,371,557,252,585,510,023,556,395,
699,878,166,778,679,704,634,613,696,363,010,582,576,157,922,795,206,519,348,
208,833,301,396,088,708,187,888,567,410,353,675,001,007,458,128,264,221,984,
578,137,589,480,749,309,663,210,888,267,098,420,763,120,922,342,110,856,596,
608,679,197,587,320,858,516,686,902,510,796,176,361,678,360,908,590,181,666,
747,622,196,709,063,965,580,288,156,312,703,130,814,848,688,252,314,359,394,
065,131,524,477,519,747,202,232,134,766,559,732,606,207,965,360,158,054,782,
253,062,169,285,930,310,456,518,153,673,918,563,747,393,493,085,471,206,824,
642,260,171,513,316,067,832,388,940,338,271,398,357,297,239,188,496,411,063,
728,590,191,738,805,333,724,682,017,630,091,052,224,248,422,787,049,629,895,
678,377,462,033,281,583,214,454,771,090,445,043,993,528,651,602,367,113,457,
145,999,251,265,840,537,840,777,780,949,216,647,201,195,186,305,648,787,511,
982,389,283,251,132,786,184,651,841,059,165,845,567,687,588,537,821,673,242,
473,494,458,242,033,162,570,443,389,451,357,802,103,541,672,185,943,748,407,
786,613,984,262,301,935,415,916,504,974,283,802,168,324,303,396,743,367,343,
742,483,836,870,715,383,526,663,977,275,259,266,388,862,693,315,732,223,517,
433,763,026,434,009,119,949,778,481,361,090,685,800,150,636,264,273,098,476,
240,351,055,879,006,989,777,741,970,621,842,204,665,170,513,922,219,381,306,
752,425,308,689,646,365,874,007,353,378,807,944,577,923,020,868,716,050,605,
745,178,276,484,148,561,986,756,050,422,016,671,019,288,971,125,846,364,988,
688,360,095,662,376,167,572,936,328,650,751,963,907,343,003,023,166,060,568,
441,849,018,732,662,343,176,060,895,858,889,746,232,113,327,327,241,739,331,
852,572,534,818,905,187,956,913,435,260,062,488,328,085,667,090,225,934,166,
502,600,308,972,321,467,469,764,698,385,112,780,249,704,235,638,689,105,369,
817,749,689,938,185,545,127,558,088,313,098,822,313,176,214,969,161,787,003,
758,880,721,571,973,734,249,584,829,595,991,186,209,305,884,561,535,158,603,
682,767,838,376,621,688,985,227,969,426,942,813,578,766,644,609,409,873,997,
528,814,881,406,426,448,981,651,728,384,930,719,056,213,475,393,100,746,674,
396,910,235,058,265,701,997,182,995,005,880,065,940,969,481,018,623,375,892,
836,673,672,044,638,641,528,172,424,961,519,199,589,558,753,789,404,850,135,
260,301,512,968,106,203,141,243,172,395,784,883,109,970,424,304,689,471,522,
714,824,708,440,070,943,084,874,791,522,561,100,479,959,142,738,770,586,515,
065,600,682,102,655,901,002,070,413,811,285,812,382,799,297,613,260,054,085,
782,787,910,617,109,614,816,250,520,882,623,819,043,107,622,744,331,076,429,
030,231,271,115,672,754,970,119,297,696,664,464,905,889,362,974,177,751,139,
995,592,109,187,375,840,367,200,774,755,126,312,453,476,020,653,851,535,843,
458,634,392,894,100,178,650,263,688,818,074,592,219,999,563,239,006,193,943,
338,377,941,842,664,936,641,244,050,689,673,773,548,940,999,418,508,132,225,
276,350,560,226,783,149,297,647,057,936,829,314,567,887,871,850,341,126,157,
901,692,055,591,750,107,515,936,581,875,820,312,557,445,666,741,487,429,743,
592,840,486,861,023,637,088,135,145,170,620,848,817,840,095,147,536,218,923,
944,554,821,219,169,667,632,474,444,131,550,987,087,433,556,114,001,614,613,
058,409,654,271,003,415,699,190,597,958,173,206,699,599,049,186,011,021,115,
526,497,959,134,577,660,970,279,731,643,462,082,162,321,752,242,116,601,459,
503,962,304,715,691,319,195,882,659,391,091,508,726,810,689,486,531,414,943,
583,602,568,977,335,230,740,471,685,570,372,156,404,877,747,423,221,268,393,
890,933,878,462,523,607,553,340,705,904,370,397,145,749,394,457,232,729,881,
401,640,309,290,240,984,052,323,471,850,244,554,829,413,268,336,074,219,244,
430,969,129,025,459,017,932,909,120,248,606,142,606,025,208,037,281,734,179,
350,603,886,886,544,756,341,023,420,107,862,469,877,946,458,667,714,553,303,
086,373,942,251,916,945,139,361,992,759,594,542,480,550,397,909,699,215,456,
859,871,657,125,631,498,277,925,924,848,967,333,170,876,067,395,870,573,707,
835,435,702,575,119,162,232,139,968,133,350,223,718,196,313,612,271,753,223,
303,211,230,348,023,741,492,834,079,280,350,137,638,381,423,925,220,651,914,
546,301,065,109,837,730,738,855,537,498,684,041,818,594,440,281,258,850,459,
602,705,237,601,688,560,922,448,945,079,236,411,775,129,881,085,822,483,662,
637,515,998,357,935,778,326,413,786,634,333,235,685,557,392,944,587,868,353,
207,015,198,916,214,825,061,119,906,964,912,506,332,858,563,904,107,915,485,
669,661,725,210,901,178,163,255,334,649,495,126,994,127,327,111,586,839,414,
279,245,019,936,552,294,932,614,802,780,098,233,288,083,781,737,006,493,696,
546,711,113,568,865,880,467,377,313,499,631,689,142,700,433,796,859,877,189,
084,307,328,598,191,983,323,816,538,419,232,165,018,565,157,461,709,617,033,
214,504,123,287,466,670,248,321,153,428,017,522,649,991,095,696,937,404,410,
440,739,173,133,641,527,602,326,030,196,239,591,619,198,572,707,070,568,789,
040,751,431,995,487,651,114,558,821,477,771,803,821,352,553,888,945,350,527,
210,172,326,332,254,795,266,961,354,872,316,673,798,961,396,086,022,172,645,
892,255,901,434,561,160,288,334,283,602,120,031,142,020,803,578,153,022,735,
749,186,350,022,090,618,922,414,829,009,577,486,880,752,344,868,308,925,283,
738,540,429,005,115,737,602,039,622,777,712,068,630,133,421,306,061,121,974,
235,877,177,583,056,839,418,338,932,526,948,874,466,766,099,274,531,672,899,
393,924,728,694,278,671,389,858,592,032,874,891,378,536,648,440,608,448,461,
663,171,232,444,267,949,233,462,991,882,783,103,665,539,083,095,089,701,275,
815,738,580,837,343,839,657,647,985,656,104,227,031,428,965,102,623,659,196,
384,278,804,246,494,448,222,731,560,148,662,120,264,024,035,639,808,994,702,
234,395,333,414,519,938,032,094,678,075,550,859,847,481,365,105,251,213,908,
964,997,930,288,210,375,210,325,759,073,813,584,057,462,021,716,218,261,913,
485,480,932,159,651,492,896,307,322,771,703,236,322,243,305,459,376,546,684,
488,052,911,261,646,202,919,977,773,746,328,639,784,688,766,546,079,798,970,
725,336,336,006,849,122,302,351,618,287,098,640,689,996,793,422,156,780,423,
864,996,565,989,483,771,126,353,718,752,165,356,136,635,358,499,307,664,497,
711,463,492,979,919,220,752,837,774,019,105,553,752,490,032,085,408,495,696,
461,468,224,443,416,548,052,186,028,184,826,545,413,453,096,957,502,733,442,
477,745,352,620,626,572,332,782,912,967,932,019,486,070,981,934,777,857,241,
199,114,548,508,287,789,759,752,396,211,358,678,537,574,021,963,892,928,898,
996,234,799,107,026,629,814,285,443,859,115,784,224,832,244,103,045,496,794,
197,836,200,331,972,023,702,799,910,943,169,535,007,941,439,320,749,930,961,
500,918,063,789,667,776,967,309,675,055,565,157,394,045,834,722,277,948,578,
149,058,771,547,078,124,889,073,820,096,960,915,972,551,070,507,118,736,396,
374,582,578,207,027,975,152,399,092,874,919,800,873,592,827,421,530,491,540,
592,009,758,368,227,313,194,806,041,083,443,317,742,187,316,051,896,073,742,
311,527,909,060,386,689,845,141,774,281,956,343,143,188,196,492,755,297,331,
845,503,775,501,931,055,407,783,397,740,795,336,127,757,972,858,653,861,022,
590,095,854,628,266,854,362,930,566,849,427,799,142,922,565,241,331,010,383,
900,842,263,721,552,690,506,968,820,982,927,905,818,444,238,410,444,919,660,
637,413,827,484,911,107,273,524,560,772,655,368,737,599,382,876,747,118,202,
131,473,056,126,942,368,217,168,042,054,388,687,357,968,128,997,310,585,339,
767,116,222,614,031,899,819,753,447,690,043,734,004,990,088,172,928,402,893,
041,354,233,572,079,225,946,953,688,159,812,210,856,300,990,763,377,996,256,
982,501,527,780,530,898,254,833,443,550,011,772,887,869,509,129,880,635,822,
832,235,508,227,267,501,133,740,381,564,567,297,061,855,826,367,645,670,835,
930,235,230,493,952,486,894,805,918,100,112,905,437,957,108,064,566,830,180,
065,664,238,523,263,793,518,416,702,369,419,949,484,620,526,182,549,680,034,
674,806,570,913,335,580,486,754,251,479,170,703,202,180,529,227,861,255,976,
554,395,075,515,298,029,697,067,953,180,483,328,685,751,612,402,619,529,538,
632,427,046,222,706,846,096,910,893,465,179,345,423,918,192,747,059,193,045,
737,214,165,214,183,525,065,704,774,244,349,779,747,104,644,041,147,104,271,
850,764,209,998,211,198,392,060,621,581,490,749,658,555,565,402,566,024,563,
610,585,745,760,138,467,897,500,927,096,485,341,525,360,690,907,933,179,478,
407,811,110,259,932,903,179,738,551,244,255,975,685,466,767,022,450,506,029,
656,557,019,039,215,094,500,702,668,719,789,668,569,423,636,351,771,575,021,
801,132,438,273,552,588,682,111,582,049,188,984,146,816,424,304,658,035,853,
273,557,943,232,941,030,476,551,054,375,198,053,919,870,317,665,625,086,668,
328,368,271,856,221,272,262,821,878,727,207,954,487,924,183,815,829,933,997,
958,029,744,230,917,128,777,934,650,921,952,301,091,072,315,166,135,620,893,
542,065,133,720,280,572,136,582,253,551,690,376,139,635,553,690,998,438,235,
138,360,741,459,565,644,754,510,723,645,296,865,409,437,662,207,533,579,431,
185,057,754,706,082,466,036,622,089,350,964,120,909,750,671,060,550,119,252,
854,146,780,975,938,367,508,736,986,562,355,520,717,805,884,323,949,165,680,
393,722,661,702,931,896,023,393,131,434,974,984,015,916,079,048,397,419,311,
813,080,662,059,735,671,041,659,372,692,707,249,716,685,131,263,795,829,725,
819,411,641,184,282,494,598,954,614,593,105,601,023,394,349,887,014,941,911,
329,176,670,947,694,378,116,924,584,601,677,254,418,656,013,867,481,976,746,
849,303,776,859,015,522,628,485,938,531,123,492,149,897,547,610,228,502,520,
496,216,241,351,928,030,711,630,741,792,089,760,376,303,682,145,981,914,266,
226,504,521,708,877,884,143,938,709,605,127,382,378,395,825,389,623,714,154,
726,003,485,946,834,046,818,938,888,343,006,498,398,237,395,100,353,839,853,
426,305,647,291,074,766,565,036,607,364,965,653,353,833,112,266,822,577,713,
979,324,391,986,751,930,705,764,660,691,856,527,367,995,740,448,088,833,872,
592,260,881,984,847,901,625,364,705,628,976,776,779,924,396,925,920,924,953,
898,816,095,506,310,774,001,072,974,348,164,399,301,715,723,281,624,444,255,
611,664,967,333,656,185,359,151,461,862,047,339,305,819,139,143,619,535,671,
632,383,540,578,830,208,569,775,930,667,304,502,048,265,490,112,282,492,308,
810,651,492,558,077,753,661,665,095,002,600,958,201,500,500,882,571,951,197,
382,998,461,159,207,490,845,407,352,281,711,734,038,386,039,976,949,298,110,
180,513,556,911,257,507,486,742,196,857,539,939,420,250,400,645,211,216,622,
920,557,652,272,566,369,700,260,246,436,348,818,394,878,993,293,140,584,906,
968,151,219,962,592,569,569,582,936,564,247,057,120,148,190,966,031,933,003,
436,178,095,716,834,157,941,572,948,390,758,694,970,934,477,876,987,649,912,
052,745,667,523,231,896,103,802,876,363,719,508,418,775,307,827,770,568,642,
990,854,222,876,754,335,932,910,056,153,589,682,659,315,766,989,773,231,302,
153,246,789,457,992,720,673,755,470,481,214,477,985,940,154,552,331,436,979,
734,684,701,172,430,421,724,976,582,832,286,150,150,995,849,290,727,121,918,
272,932,490,592,218,577,276,512,982,361,253,052,162,010,614,864,821,813,857,
527,418,792,582,959,233,195,611,631,572,720,083,336,735,388,146,145,022,356,
334,781,877,460,666,982,698,603,776,072,965,509,855,498,249,430,611,601,541,
196,889,114,853,743,779,287,256,110,931,895,397,230,927,015,823,619,608,531,
777,273,893,897,404,276,419,107,432,977,430,647,792,149,634,452,299,797,424,
177,261,901,625,333,248,740,393,356,401,095,714,851,092,117,449,179,583,520,
502,669,964,084,229,815,477,418,749,786,263,099,280,979,166,930,541,347,154,
178,600,691,533,723,147,632,185,389,938,421,566,463,631,077,718,886,683,074,
153,100,659,827,352,269,658,431,862,209,840,050,159,667,891,445,578,448,266,
266,105,524,766,895,230,470,510,350,893,950,686,524,356,083,788,405,239,335,
394,263,600,840,133,619,469,929,510,112,600,244,846,295,103,335,719,906,700,
352,334,365,856,194,542,187,820,564,277,133,006,050,179,725,081,924,873,403,
375,554,967,383,263,763,908,567,744,669,603,312,965,459,092,995,516,687,006,
750,624,843,938,416,170,488,515,513,929,339,795,662,103,662,851,391,177,762,
107,155,273,846,897,817,936,170,654,670,118,850,886,538,360,783,289,631,098,
705,372,128,462,393,791,106,975,258,068,904,028,897,776,549,457,632,763,572,
080,930,014,602,375,116,986,589,657,807,250,347,908,284,603,869,333,152,776,
845,227,789,835,718,615,448,784,479,794,936,871,532,276,397,778,204,237,206,
444,940,704,740,809,328,210,247,163,032,740,913,279,084,154,156,854,012,014,
840,644,327,122,667,078,433,144,412,807,861,362,119,084,349,595,500,623,239,
751,039,219,608,918,224,418,216,369,717,072,549,226,383,293,063,486,449,160,
785,798,299,538,150,235,223,702,484,040,938,623,528,955,048,423,412,571,486,
836,108,687,743,344,755,574,987,177,410,577,136,216,202,106,395,837,545,260,
748,828,717,281,127,655,163,755,424,164,599,272,995,117,935,810,909,148,614,
171,552,751,982,665,793,638,054,439,411,085,409,244,804,041,194,839,628,032,
898,389,014,841,950,565,289,672,152,736,323,119,780,236,263,481,651,166,889,
350,350,651,916,700,549,051,470,670,262,311,616,729,703,919,530,685,833,352,
226,567,006,833,402,808,270,997,959,271,434,486,800,299,158,596,286,349,862,
228,226,851,580,868,874,973,502,914,070,037,763,683,609,097,291,900,691,669,
185,335,392,692,545,021,393,154,947,730,081,387,936,788,945,788,917,182,965,
718,533,802,470,044,615,790,835,102,380,523,559,506,343,863,890,744,391,410,
109,360,923,727,842,532,317,081,807,151,739,466,669,042,149,272,030,850,734,
974,882,862,458,014,979,618,680,673,891,106,688,617,751,960,466,938,380,856,
953,191,382,917,319,399,017,971,196,035,890,124,046,126,611,943,619,173,393,
529,752,649,098,856,217,511,198,922,413,228,869,659,983,364,195,759,161,284,
006,782,686,423,363,530,187,018,744,381,173,499,684,702,997,647,240,123,157,
331,019,726,714,341,200,930,683,567,211,642,494,383,441,436,897,081,990,303,
220,343,161,411,498,680,987,284,882,317,816,416,196,800,221,786,132,974,293,
198,516,378,517,815,693,246,937,021,205,014,286,410,780,336,590,729,679,188,
134,214,745,641,772,179,400,329,563,193,554,526,794,405,754,617,648,236,653,
184,432,345,724,348,230,162,964,477,786,672,652,104,601,996,191,174,340,154,
406,486,603,040,146,577,501,993,120,885,711,800,311,503,414,059,021,898,405,
910,889,854,101,135,848,256,497,351,391,584,311,237,136,355,569,469,112,013,
198,812,833,770,190,826,213,318,655,132,093,783,982,572,304,389,335,549,085,
639,350,134,545,999,196,198,353,704,185,919,320,484,507,046,301,625,575,361,
858,685,165,150,865,773,224,559,596,726,543,913,988,416,613,543,698,398,143,
822,673,242,468,030,901,896,744,184,058,680,401,965,820,660,197,262,599,000,
635,488,887,662,842,784,429,356,144,989,519,710,815,411,311,583,325,680,576,
608,975,041,269,232,676,785,956,143,213,073,255,957,077,863,574,429,775,751,
345,745,087,812,860,729,912,392,066,630,924,874,069,785,085,198,874,656,168,
370,989,248,731,832,000,236,519,910,515,919,238,837,059,893,162,238,824,523,
020,259,781,458,913,015,433,566,880,571,204,712,051,600,963,033,992,732,176,
654,368,629,630,706,336,262,822,980,432,362,853,513,994,160,894,705,101,684,
134,629,695,545,974,293,098,825,064,064,299,640,650,586,870,747,608,993,364,
010,643,021,240,676,382,495,765,087,880,058,438,366,523,299,208,014,035,215,
358,588,495,960,421,306,616,347,955,528,134,212,831,466,698,374,838,109,315,
358,749,056,641,247,491,820,953,360,386,290,718,160,072,024,929,256,952,001,
003,031,756,385,634,398,597,190,254,978,357,292,880,967,316,431,352,106,473,
242,299,824,738,586,971,236,875,491,075,154,321,895,575,886,089,803,130,194,
760,100,239,197,227,151,514,390,230,724,213,106,077,703,433,484,280,254,712,
581,337,511,960,243,264,427,300,015,341,913,321,441,934,550,171,087,887,199,
466,439,783,841,435,180,166,093,981,693,639,191,380,471,153,695,024,949,446,
177,594,333,466,719,777,942,011,727,806,324,855,905,266,128,924,104,625,453,
424,886,548,274,059,140,969,161,345,682,981,085,989,338,929,920,728,404,866,
971,780,739,321,579,174,896,431,748,567,335,015,964,569,988,490,214,840,465,
518,067,768,065,324,958,777,366,957,834,301,832,771,889,802,135,523,100,072,
037,929,983,401,234,364,154,898,891,638,550,289,977,393,029,922,334,162,094,
587,330,203,335,746,109,834,176,448,645,872,471,553,029,748,061,476,575,475,
056,964,405,273,413,181,142,204,173,296,315,689,109,489,377,770,179,184,057,
518,659,495,462,792,338,660,145,390,331,645,339,452,567,912,072,555,315,887,
347,455,577,938,259,454,762,113,985,914,640,180,322,445,618,160,857,866,312,
200,177,698,528,605,118,042,444,136,880,514,041,014,930,408,031,937,220,648,
511,886,602,460,889,569,349,926,005,125,846,118,732,682,959,086,434,996,455,
237,736,482,101,497,902,811,246,035,447,876,974,604,953,395,109,969,674,449,
119,278,974,259,853,246,854,734,973,417,537,186,571,495,765,184,183,456,353,
193,642,905,972,911,870,211,960,845,827,281,539,589,644,369,205,794,337,331,
708,488,833,846,797,682,352,559,292,752,566,077,641,685,870,877,083,516,037,
672,479,964,618,441,896,389,278,885,179,506,135,638,909,852,852,346,755,124,
082,348,537,521,450,811,108,804,020,715,116,342,883,553,953,935,673,731,718,
016,512,194,568,609,082,962,090,077,828,218,274,615,052,531,089,361,062,721,
233,600,032,108,797,446,226,522,472,540,418,419,117,784,716,486,113,594,976,
167,136,664,893,253,436,451,198,308,300,980,737,801,664,573,267,329,368,401,
778,833,046,253,521,502,401,782,718,369,657,562,776,979,273,561,997,288,811,
909,705,568,116,155,672,054,110,309,843,561,243,701,640,833,603,806,142,577,
638,929,429,553,081,408,137,748,505,674,935,721,170,243,649,606,629,363,798,
562,378,411,293,866,103,955,548,623,441,972,697,926,742,379,161,688,394,268,
262,548,458,952,637,206,670,693,739,116,369,435,372,761,101,646,869,363,031,
464,052,157,395,667,372,161,434,140,378,778,160,271,263,524,401,227,194,582,
508,693,139,674,600,382,280,770,339,412,430,080,744,826,474,773,298,393,802,
552,882,221,466,169,719,468,348,918,762,606,949,765,882,233,580,796,015,235,
491,435,812,690,043,406,880,801,887,977,057,769,079,505,225,125,371,136,062,
530,453,673,720,796,753,277,089,467,951,822,813,534,727,526,874,089,114,606,
254,100,163,430,001,038,486,316,906,528,889,698,213,109,269,287,306,773,150,
620,707,024,750,431,611,444,667,603,316,088,609,505,575,758,034,806,181,470,
639,762,066,405,927,930,278,197,617,994,570,879,029,908,930,367,219,892,207,
293,721,691,140,070,984,848,785,925,951,042,771,106,272,471,102,256,384,117,
998,620,177,042,876,615,230,311,579,528,566,584,339,766,714,587,593,731,145,
443,928,890,823,750,837,524,118,114,645,937,905,171,038,305,381,414,087,614,
460,850,792,355,725,937,285,909,241,232,891,882,374,770,769,372,406,077,382,
838,197,957,508,479,562,466,441,695,432,479,991,309,051,382,778,065,429,883,
979,706,568,314,534,241,876,564,481,173,155,398,499,271,492,939,041,375,241,
601,075,934,810,712,507,121,462,091,398,225,011,791,745,851,473,430,367,613,
865,147,121,545,501,600,403,173,010,428,723,583,358,375,972,167,122,585,657,
358,212,678,994,700,785,666,555,214,029,646,721,079,073,051,187,539,407,409,
803,933,659,222,206,377,134,872,335,176,036,827,591,716,113,748,267,239,216,
837,082,574,518,931,667,876,438,960,439,087,770,484,359,907,369,892,011,867,
126,580,277,315,753,790,273,290,972,810,237,674,780,824,001,217,061,386,489,
702,067,703,872,107,330,190,973,911,288,117,321,179,453,483,561,905,443,095,
941,558,693,862,354,674,503,007,074,643,820,808,937,181,822,941,517,526,306,
144,121,238,454,125,821,337,038,045,220,187,357,418,874,333,481,611,011,375,
003,235,057,278,146,158,341,760,678,155,319,840,497,843,979,591,366,742,543,
727,902,840,911,047,756,594,569,431,822,825,796,572,419,565,934,363,475,480,
028,282,094,898,287,977,745,633,357,065,045,867,598,501,746,481,108,342,127,
110,834,529,356,268,796,759,231,352,499,988,500,649,213,477,179,312,241,276,
434,366,759,968,881,015,714,604,975,262,304,659,820,120,875,855,161,842,618,
727,168,743,422,244,930,421,401,119,839,166,944,597,927,717,442,235,376,090,
622,095,679,116,089,849,588,707,610,252,851,586,083,859,595,425,172,819,675,
692,867,619,775,530,600,031,352,421,850,548,608,067,136,358,951,904,848,838,
445,981,543,752,293,785,356,488,796,905,911,898,271,292,322,558,722,751,820,
616,598,631,402,086,415,021,596,326,978,304,554,041,693,592,045,559,781,982,
965,616,892,574,296,730,673,851,247,707,111,334,602,425,883,730,769,987,334,
944,130,787,825,565,295,450,338,407,529,537,273,136,016,145,203,547,520,091,
556,039,120,989,841,593,239,072,042,159,750,012,922,324,256,956,023,246,954,
395,071,180,430,110,188,481,472,648,455,313,995,455,704,865,783,686,071,101,
000,446,082,985,188,996,096,610,391,149,956,421,767,294,930,116,050,408,186,
663,949,683,349,245,730,491,729,757,427,295,800,568,485,163,247,672,591,758,
569,627,286,191,988,547,326,273,069,475,605,355,786,056,239,584,774,538,927,
352,385,551,541,361,263,176,353,190,867,512,026,093,833,182,403,988,718,345,
530,536,110,159,361,237,391,212,593,703,610,917,102,590,724,976,242,224,543,
697,464,789,190,227,248,443,915,679,023,121,063,206,519,337,389,687,767,457,
303,257,941,915,724,388,800,391,450,438,619,194,838,826,448,339,363,698,227,
445,744,232,990,634,558,236,529,596,776,349,029,940,733,475,513,345,440,180,
063,094,906,604,117,917,675,608,363,303,954,949,940,295,500,292,327,176,080,
293,505,029,555,115,712,153,407,597,512,283,749,365,051,758,439,860,895,511,
469,860,409,020,774,713,066,472,469,603,075,393,577,861,826,572,298,093,892,
560,785,826,596,581,811,083,175,827,619,999,857,444,735,342,926,419,598,424,
673,161,197,421,323,983,641,417,629,047,883,802,268,383,078,243,511,202,139,
334,935,149,367,420,663,725,232,589,406,787,697,973,277,075,551,116,377,012,
246,434,971,519,560,412,573,875,303,837,999,880,526,765,860,819,779,727,803,
995,250,238,545,845,015,756,267,400,654,533,416,240,485,695,890,359,634,241,
032,299,947,898,819,941,135,093,328,026,753,549,118,331,806,373,814,808,226,
297,566,056,993,892,085,108,363,402,955,113,050,989,891,325,067,089,422,191,
679,384,629,857,131,719,050,434,871,076,167,312,851,516,312,993,673,011,461,
400,408,490,502,832,836,514,564,339,961,523,439,180,570,839,834,227,788,233,
831,750,223,263,351,503,973,026,480,833,560,968,696,108,043,685,300,158,392,
295,257,612,968,225,269,225,716,894,776,178,738,084,320,573,464,846,154,802,
402,534,877,000,264,836,448,794,019,359,042,500,173,096,519,089,737,276,268,
385,164,609,128,340,658,403,422,739,743,883,702,870,816,954,015,195,838,336,
151,692,818,077,151,836,953,547,141,695,101,258,107,129,763,598,078,095,236,
480,377,917,911,972,891,248,962,307,885,485,783,527,802,608,723,418,368,006,
964,680,004,807,265,240,514,278,707,113,159,086,242,820,762,099,591,596,438,
390,343,449,059,232,255,865,852,535,866,551,891,028,209,109,211,514,658,954,
426,550,132,108,409,244,095,277,599,266,713,200,039,030,002,953,667,670,786,
523,608,245,327,501,887,381,243,409,380,677,794,844,050,757,570,481,172,200,
560,242,313,019,432,964,178,110,894,142,680,986,038,881,909,568,237,324,130,
930,803,487,464,583,366,642,766,987,997,697,356,732,617,852,604,162,677,795,
930,569,673,500,660,675,956,321,349,667,257,480,671,012,813,502,667,097,056,
363,230,852,414,597,881,247,001,614,888,558,277,606,987,129,881,725,133,826,
871,825,301,178,477,405,054,660,080,923,937,268,149,694,425,290,433,608,171,
312,549,278,925,968,746,150,981,196,940,816,621,428,631,875,167,847,378,346,
502,224,093,129,554,618,707,433,032,189,956,783,740,658,681,967,556,927,326,
500,654,918,227,130,431,011,636,769,058,887,489,351,740,785,940,354,060,272,
806,452,778,173,251,543,843,531,322,637,822,651,742,664,878,673,841,397,939,
660,299,406,138,362,643,191,760,920,635,765,977,461,318,538,012,119,572,263,
117,205,425,105,197,372,941,965,468,904,689,622,643,741,048,227,479,837,832,
390,665,441,402,771,256,318,832,388,430,983,134,780,678,684,213,037,226,655,
644,875,616,618,003,026,344,226,333,422,167,563,173,301,600,843,278,631,314,
357,690,585,797,381,339,360,560,194,826,904,982,872,940,531,050,868,098,392,
598,736,994,923,429,788,165,794,259,236,207,498,248,274,213,481,166,567,877,
688,786,296,782,389,163,282,138,822,966,265,331,838,089,863,045,361,628,146,
363,767,182,271,621,065,530,387,880,360,399,913,781,214,343,680,010,910,731,
068,348,711,625,663,251,322,006,387,844,800,952,630,398,525,305,765,776,664,
483,115,037,699,396,612,861,188,526,886,420,789,759,709,875,004,424,217,509,
057,934,378,192,822,573,771,337,406,088,398,192,302,863,658,578,434,427,235,
157,397,140,080,488,602,609,976,562,152,441,752,115,389,822,755,506,574,409,
866,837,409,473,760,174,521,191,563,851,372,383,627,543,547,074,334,450,316,
942,195,939,655,463,226,802,190,226,033,548,862,957,500,438,889,624,401,005,
317,078,364,828,623,227,467,192,365,764,523,012,535,529,469,731,145,160,263,
517,948,051,905,729,780,033,015,545,904,144,071,937,341,719,124,841,358,214,
229,020,526,367,595,367,489,884,903,889,114,181,892,560,935,927,380,567,056,
662,270,678,418,866,868,443,953,083,667,275,591,087,074,213,362,177,786,573,
480,481,411,748,268,037,675,496,860,857,152,365,248,884,447,997,839,924,872,
399,776,306,105,259,501,441,187,321,391,465,730,710,092,077,102,480,410,238,
513,589,942,376,421,072,169,925,544,709,112,310,988,745,242,184,089,104,408,
580,667,404,791,591,505,127,106,745,435,368,567,480,243,674,112,479,924,833,
948,665,730,550,083,778,208,795,897,987,908,188,122,176,106,931,232,540,949,
839,687,947,908,610,491,192,303,102,321,708,406,002,066,222,507,136,428,038,
051,599,625,058,165,032,846,119,646,750,908,559,497,107,412,260,268,231,153,
006,473,231,765,571,843,375,667,514,561,058,645,329,709,013,300,500,512,496,
371,671,373,837,448,950,125,871,377,554,678,639,947,569,643,851,151,532,355,
399,182,402,654,516,153,078,202,535,858,459,285,312,687,693,310,939,948,538,
373,546,828,534,847,169,533,535,241,755,644,652,911,645,417,611,232,118,074,
293,130,809,746,913,520,340,561,673,267,912,314,046,905,345,514,830,018,852,
529,448,252,348,009,024,289,169,786,271,220,751,026,333,856,193,058,696,907,
651,470,112,298,724,227,884,360,020,730,698,823,422,825,162,579,273,384,226,
964,751,715,963,453,558,479,522,717,931,256,108,649,083,363,709,179,966,761,
798,765,983,044,470,893,375,592,331,631,018,712,871,061,147,084,081,430,703,
476,220,584,198,025,372,678,442,041,328,740,245,802,039,307,688,882,444,244,
567,807,892,113,337,812,004,628,256,111,429,313,031,527,645,062,876,470,574,
302,591,576,066,964,429,873,790,560,412,815,202,162,303,305,888,745,389,859,
974,697,605,620,190,719,443,770,744,491,783,514,079,946,452,535,137,774,922,
681,878,192,109,820,973,058,362,483,474,519,249,815,018,649,908,723,414,122,
990,220,959,265,502,384,965,449,484,896,910,150,625,377,643,220,855,876,167,
723,201,672,781,385,161,850,049,444,513,494,046,706,412,028,340,360,807,342,
833,377,295,639,619,963,262,630,481,356,742,698,984,990,610,603,796,235,378,
311,167,079,472,811,230,647,123,545,096,352,872,080,233,179,330,098,229,455,
679,841,195,462,990,025,157,956,489,477,480,078,757,803,503,202,729,966,025,
431,101,599,832,555,451,963,739,615,040,595,922,026,626,141,926,168,647,897,
455,519,435,264,509,784,202,770,202,768,170,463,333,014,696,508,271,233,693,
057,592,225,063,618,157,462,326,914,960,520,665,187,385,545,548,481,639,939,
430,381,783,442,078,326,566,529,054,986,501,330,450,579,407,310,762,525,549,
343,260,679,232,330,720,901,027,885,568,469,260,495,948,615,227,241,098,464,
839,187,489,322,793,654,292,850,352,492,166,687,812,284,900,737,143,255,743,
885,834,602,347,609,625,948,850,154,671,510,359,103,655,998,483,007,378,241,
813,479,283,325,684,656,937,887,437,815,641,986,596,125,283,331,189,370,498,
435,810,218,687,112,864,047,482,082,744,139,173,719,219,252,029,153,622,497,
177,108,532,874,866,329,788,872,563,340,591,676,820,262,359,218,298,104,676,
606,759,536,928,706,668,988,151,722,247,376,808,722,109,903,965,782,559,139,
956,883,651,037,663,122,471,387,962,606,509,542,075,011,504,174,500,839,528,
633,983,496,098,934,465,605,755,529,496,566,136,028,192,848,170,011,832,760,
349,227,908,363,995,978,761,367,901,427,293,565,498,203,588,061,876,493,767,
110,094,212,633,296,576,274,295,057,210,945,218,644,542,936,613,025,631,770,
912,823,744,781,710,361,379,802,996,822,179,531,745,516,208,954,967,955,195,
231,676,747,458,535,451,758,627,262,474,616,737,994,505,898,448,483,575,836,
169,254,387,333,625,922,331,396,974,411,673,257,544,099,563,666,961,472,902,
239,626,797,474,585,010,624,398,213,172,967,822,753,951,737,945,215,381,701,
579,479,299,745,443,215,203,717,915,547,971,135,254,124,891,379,789,605,415,
387,036,806,368,241,848,797,556,062,697,203,239,515,925,818,292,394,885,189,
391,104,496,333,181,016,861,748,403,963,289,767,395,155,963,943,568,221,179,
216,661,420,048,524,830,097,789,044,768,518,339,489,326,157,901,283,870,492,
114,086,015,467,086,481,101,483,836,542,140,357,408,510,036,975,943,730,958,
529,874,717,835,968,334,956,009,947,033,177,583,040,450,949,992,476,524,607,
608,377,646,017,920,197,486,305,525,074,766,664,538,377,692,110,962,081,302,
171,164,698,150,217,592,594,064,824,826,188,964,194,642,308,396,596,757,503,
251,856,720,994,585,118,220,289,487,762,626,394,756,970,072,456,521,298,273,
834,603,646,563,221,333,579,591,006,629,769,925,585,551,928,991,438,285,683,
268,199,037,773,026,162,491,534,086,197,656,271,293,906,714,918,097,651,355,
074,174,625,092,240,174,295,204,001,477,936,311,500,136,861,405,442,715,705,
786,387,241,265,653,944,304,012,252,971,513,373,798,365,203,214,254,993,033,
678,110,804,365,158,619,721,347,060,975,278,002,286,038,539,709,500,258,847,
993,672,822,429,932,821,943,443,085,936,505,044,975,038,485,205,461,468,602,
592,087,220,189,899,146,225,723,310,226,594,591,074,220,884,593,063,459,962,
154,459,963,268,915,629,298,483,154,894,700,459,229,841,062,908,059,891,862,
250,238,462,824,777,609,960,507,187,457,160,320,376,894,974,061,338,578,101,
949,624,141,281,535,032,948,836,804,675,241,747,528,781,717,040,859,595,929,
788,336,207,635,561,482,530,074,678,119,457,982,201,133,512,811,547,772,318,
466,027,300,996,637,859,497,708,507,258,482,328,788,264,793,470,324,098,152,
733,555,858,258,261,286,945,029,455,607,021,230,663,766,468,150,645,582,979,
843,563,951,119,346,842,658,901,271,890,775,181,425,827,518,755,382,923,122,
948,105,082,016,392,581,363,231,405,795,597,053,278,765,660,812,870,156,009,
418,811,093,552,628,039,201,640,173,053,616,444,950,063,800,734,681,234,115,
934,617,272,821,609,090,434,315,989,374,972,769,835,282,531,902,267,259,792,
997,048,906,710,541,817,413,642,048,787,299,201,485,945,599,510,914,792,918,
549,409,441,038,611,927,854,744,084,909,815,543,593,536,601,861,733,052,414,
260,469,690,713,667,760,527,584,697,630,932,839,483,913,862,999,742,196,673,
253,293,158,846,407,382,407,980,774,931,869,789,338,796,311,364,350,525,044,
781,745,432,373,583,441,604,346,096,681,266,814,758,059,888,987,707,496,369,
052,045,151,984,421,193,392,980,319,877,170,687,166,046,894,449,411,070,818,
536,733,210,890,146,983,776,668,704,536,061,638,350,549,386,901,307,538,184,
336,998,443,699,005,388,174,445,601,464,851,314,476,926,204,433,771,106,277,
441,954,790,517,772,537,425,807,813,161,050,192,522,912,732,866,208,375,161,
159,674,026,037,795,510,096,143,382,039,638,439,703,909,506,003,771,995,336,
472,124,258,365,473,018,731,757,644,044,602,508,113,511,421,824,554,074,774,
450,292,364,920,367,493,467,701,406,406,942,524,991,647,106,276,833,086,154,
160,876,381,710,677,574,804,901,903,108,944,317,554,735,157,304,579,124,173,
094,762,774,905,390,642,834,842,806,050,346,907,364,106,331,039,833,536,943,
611,131,677,538,139,103,850,037,122,337,720,746,695,121,391,138,714,625,444,
407,994,609,362,503,026,415,776,511,804,358,688,929,233,467,211,292,153,556,
944,449,127,882,320,468,590,724,134,910,606,992,653,230,535,383,507,568,180,
350,557,438,879,357,127,348,031,930,853,669,071,372,555,392,092,028,155,550,
215,718,481,268,719,209,448,772,083,185,736,421,560,470,599,439,375,199,051,
683,111,609,223,407,579,370,611,662,406,945,143,947,550,872,922,475,913,929,
589,404,562,490,086,933,492,864,278,774,927,662,470,509,403,857,514,332,785,
113,552,034,581,390,832,112,894,411,795,684,758,283,747,705,891,142,245,676,
835,379,093,598,140,554,703,093,384,158,770,475,457,775,813,066,753,477,201,
743,813,602,755,280,208,429,974,922,524,542,534,883,300,862,526,562,142,346,
181,726,420,982,187,056,553,788,669,381,501,402,848,853,613,573,327,165,295,
771,511,641,288,117,270,301,275,717,728,531,813,190,399,851,850,879,541,273,
911,815,735,205,998,950,613,106,028,277,147,592,188,786,279,859,289,933,397,
767,749,368,335,373,772,284,811,484,333,853,059,041,607,087,228,225,955,749,
706,149,266,657,243,902,708,280,072,180,891,513,518,273,848,981,569,113,010,
542,116,059,246,964,139,646,784,222,561,422,042,949,160,197,065,659,662,880,
776,152,762,975,278,979,642,491,475,714,407,646,835,976,072,905,426,453,550,
743,071,831,947,162,527,784,532,815,624,935,349,433,276,357,200,352,997,618,
440,415,609,103,250,369,764,501,931,430,513,806,211,594,889,480,680,934,691,
422,873,669,169,786,120,762,029,363,370,606,827,787,897,314,064,580,244,240,
535,236,618,166,781,123,215,041,275,111,918,303,504,302,376,197,337,735,798,
433,695,354,894,788,203,102,298,264,321,562,983,348,929,707,767,571,690,418,
126,657,393,074,749,833,036,356,025,511,168,886,265,271,053,803,497,828,411,
642,707,611,961,369,028,012,863,268,941,262,729,375,268,970,173,256,082,404,
099,248,913,686,754,042,464,332,908,330,394,347,228,452,260,660,067,144,716,
191,970,488,618,083,718,520,824,779,992,246,773,974,294,025,452,248,371,091,
901,977,067,417,120,746,501,106,507,237,876,913,787,262,736,345,883,306,339,
543,066,501,873,415,053,254,529,914,108,233,040,625,264,524,272,730,244,633,
972,004,643,587,252,693,151,791,741,947,104,951,839,634,723,611,348,093,518,
251,056,591,321,708,187,187,515,434,103,550,296,934,721,078,110,419,726,725,
516,637,020,245,835,816,243,031,945,463,137,621,818,826,898,881,488,476,967,
141,610,172,459,940,550,944,704,503,133,146,779,133,625,857,027,004,263,053,
891,575,544,572,812,860,892,785,941,827,805,564,554,396,918,661,142,097,492,
340,920,397,551,457,867,616,349,027,788,642,527,078,718,099,237,927,304,103,
270,957,216,060,248,946,650,528,164,345,890,857,722,748,045,382,659,123,909,
399,605,981,766,280,184,497,685,914,153,580,888,858,903,303,859,999,942,683,
121,850,087,936,500,470,429,609,564,942,222,875,290,406,314,034,595,784,548,
086,358,435,099,866,911,702,140,657,891,818,856,425,651,052,383,079,057,414,
140,249,314,487,764,115,379,453,853,273,609,943,466,865,212,073,710,697,457,
666,904,516,499,261,518,093,012,600,954,385,087,281,502,343,775,645,285,175,
474,118,334,689,271,873,622,718,090,607,329,107,415,242,197,329,797,793,046,
973,451,435,998,744,880,742,758,734,153,292,887,702,695,435,705,664,666,547,
460,882,275,207,766,153,693,157,912,699,431,683,080,926,807,749,391,188,116,
476,299,800,679,619,654,846,107,046,038,970,179,572,432,910,954,392,690,185,
200,843,386,152,702,036,417,915,854,858,413,789,654,942,483,341,228,733,947,
113,816,621,182,738,293,908,890,638,767,242,291,331,694,130,536,483,086,612,
713,717,057,420,652,159,414,105,311,223,526,713,874,021,899,355,958,065,527,
704,176,321,370,539,798,012,024,785,966,322,869,624,910,304,899,887,879,944,
841,274,681,154,986,591,399,795,423,076,577,147,805,317,257,216,970,541,845,
514,680,011,910,124,731,528,139,006,675,475,823,668,657,036,757,529,192,236,
946,149,687,887,923,492,649,715,550,990,543,850,088,455,940,473,546,197,998,
154,218,711,659,073,096,758,770,368,281,666,579,256,443,335,396,014,679,496,
917,666,767,070,920,703,067,967,583,477,559,752,163,771,017,842,959,979,792,
521,271,162,781,290,768,439,746,517,501,761,866,060,145,713,960,141,266,081,
043,077,035,597,938,728,554,194,866,407,138,575,426,914,198,825,646,449,413,
994,154,945,793,740,968,715,613,065,317,083,913,355,833,458,485,955,691,344,
320,959,916,568,092,517,457,024,739,570,141,944,064,037,850,336,612,220,099,
046,432,071,571,218,000,542,383,677,640,494,334,366,295,609,377,565,787,995,
445,219,972,338,548,167,859,189,968,041,975,847,956,349,030,600,708,750,909,
884,116,618,932,114,981,141,581,599,098,251,168,011,956,658,790,573,358,210,
897,546,436,924,997,483,914,399,732,436,344,463,288,899,266,178,561,191,294,
990,042,979,997,472,554,577,120,104,918,062,522,801,103,582,315,988,545,775,
829,416,606,708,445,909,759,268,102,943,063,995,459,372,222,598,831,709,768,
663,315,190,187,218,718,948,744,979,834,164,024,877,847,996,132,786,643,988,
086,490,963,083,021,495,731,491,555,818,460,489,107,820,805,381,527,867,962,
433,381,125,381,826,225,430,502,211,777,609,144,413,796,201,229,818,584,684,
545,853,478,516,020,218,276,986,484,666,180,204,397,042,869,680,332,070,542,
347,052,539,548,284,641,511,906,205,702,445,273,209,930,392,676,188,362,693,
072,124,293,701,378,672,392,603,209,758,015,286,974,250,825,846,520,050,610,
833,934,618,496,262,223,204,829,257,856,486,609,158,115,430,991,453,366,273,
184,287,521,594,907,669,030,975,675,451,329,258,250,350,490,470,595,227,153,
666,479,018,750,563,126,728,138,581,664,633,090,725,025,982,653,782,472,604,
455,051,706,539,381,699,389,417,227,116,547,593,647,376,413,476,055,551,218,
506,290,885,534,493,244,793,864,566,442,158,698,633,971,667,362,092,327,694,
323,512,917,907,782,116,726,296,958,625,026,342,092,552,256,971,018,027,800,
080,081,166,976,893,151,970,452,501,081,759,971,704,328,902,596,259,576,081,
263,804,526,622,465,346,764,579,886,449,015,330,146,998,188,340,127,524,920,
034,794,133,623,232,790,274,366,620,334,537,920,823,278,690,187,993,890,800,
533,424,272,418,943,494,686,257,346,596,068,035,388,264,836,007,056,120,051,
659,927,306,038,461,103,190,249,408,926,104,840,763,232,976,006,664,714,119,
337,830,466,280,026,807,704,401,184,253,599,316,385,675,184,258,799,037,221,
096,076,606,427,242,115,761,530,585,246,063,938,952,043,925,114,773,901,427,
126,746,165,741,841,366,923,708,499,699,280,995,280,308,952,120,041,146,590,
084,000,164,833,396,613,615,006,908,024,046,318,286,270,417,153,312,375,209,
361,644,127,773,838,633,697,211,197,170,647,011,326,011,694,402,077,055,183,
269,657,989,307,427,037,763,527,625,852,613,073,923,718,131,793,898,813,926,
583,632,640,411,001,914,507,701,001,076,526,953,173,677,967,090,452,803,688,
222,503,333,003,942,087,234,427,893,774,671,891,686,261,090,124,705,012,999,
885,497,799,446,370,903,920,979,302,407,581,662,610,384,372,369,258,078,097,
265,956,066,503,387,656,608,574,897,624,287,222,987,967,666,810,013,724,489,
778,201,005,751,918,090,940,966,109,387,807,538,097,211,873,982,924,650,556,
609,803,859,876,747,468,017,286,664,618,036,626,047,443,828,207,554,560,462,
936,258,077,470,718,670,373,978,427,667,910,554,105,036,875,973,095,495,204,
553,770,857,541,377,315,825,322,463,113,871,418,548,643,472,962,178,027,493,
448,829,426,851,465,899,095,785,513,318,204,590,829,594,707,066,677,097,799,
589,510,547,323,873,458,554,316,362,239,586,584,811,212,849,400,242,000,714,
118,664,038,787,983,727,542,436,787,377,556,192,382,086,844,520,045,239,318,
753,422,966,747,456,291,611,055,690,219,752,111,336,081,544,428,768,372,389,
348,353,273,422,742,496,996,539,126,895,399,200,508,573,988,879,848,944,695,
481,831,093,028,073,539,877,965,272,553,567,961,631,207,205,389,621,591,637,
430,774,059,826,254,980,074,158,500,928,003,526,315,782,932,590,816,769,641,
797,523,001,257,790,377,500,873,372,128,172,993,747,068,952,529,707,724,441,
029,229,429,878,690,224,035,697,142,759,880,074,816,189,743,169,746,536,948,
411,749,279,632,462,166,003,611,213,061,787,559,837,441,344,407,523,744,331,
124,064,762,857,951,425,341,348,245,191,597,001,975,920,379,917,341,083,304,
938,293,401,337,551,818,801,933,877,420,961,345,248,546,214,758,997,665,329,
351,092,342,177,497,263,411,191,380,031,587,769,717,016,419,673,994,267,935,
158,684,634,579,587,910,438,346,858,746,660,128,377,989,222,698,738,101,093,
483,860,026,550,719,559,627,807,045,889,838,005,407,711,889,452,421,212,184,
064,690,948,197,772,380,911,322,178,586,129,774,672,557,764,179,660,257,803,
198,495,152,247,710,967,293,584,601,368,101,951,915,939,367,767,161,337,921,
696,746,610,055,948,281,401,310,638,141,950,370,556,909,501,310,236,905,347,
690,905,440,695,976,136,903,297,548,807,714,948,618,863,937,518,883,907,365,
640,847,507,132,384,183,000,223,320,912,937,731,539,147,113,613,796,277,766,
069,519,915,357,963,067,527,929,407,853,616,817,889,351,617,327,671,188,324,
290,092,910,834,107,519,154,190,346,068,422,036,755,307,393,379,763,482,691,
994,428,067,836,600,542,345,323,246,924,405,651,447,292,577,978,500,258,872,
871,876,421,771,041,409,566,587,664,935,887,330,465,691,481,899,563,209,442,
615,358,428,926,296,354,458,758,868,534,515,690,125,508,122,831,729,983,881,
453,186,982,761,931,885,304,231,313,320,455,734,280,271,941,498,905,269,729,
031,184,047,653,886,708,624,941,115,636,160,711,401,233,450,653,663,352,729,
640,163,170,201,363,899,223,621,626,312,680,451,949,705,508,954,490,703,864,
083,521,507,156,725,249,294,506,078,682,393,970,042,546,034,834,969,666,668,
681,204,480,637,490,655,152,489,115,394,866,251,233,152,177,411,917,314,836,
460,112,777,420,671,211,923,645,242,705,901,898,205,888,020,750,275,853,580,
708,719,645,394,261,046,119,727,628,393,657,706,247,746,564,797,655,060,814,
644,074,425,975,693,342,304,508,606,436,716,067,791,037,672,201,847,392,720,
337,335,388,949,354,685,974,495,189,897,069,828,173,980,979,416,284,944,420,
368,884,977,560,688,158,979,824,972,985,965,416,192,528,187,520,764,047,877,
172,970,499,235,861,424,489,178,506,576,062,758,000,259,123,734,784,428,247,
894,089,357,629,146,504,526,436,688,035,144,560,079,214,840,675,744,738,581,
311,975,577,992,612,874,585,736,506,756,120,306,326,663,692,222,590,728,032,
930,720,935,350,733,852,755,405,176,006,920,873,620,393,748,466,769,304,874,
142,477,275,374,407,658,707,752,698,504,068,875,484,707,434,719,378,710,334,
037,380,616,304,870,724,760,765,761,133,594,229,027,949,602,280,236,241,477,
931,442,544,769,302,896,628,851,859,620,647,508,164,301,855,668,617,255,094,
430,378,138,564,884,928,804,355,322,017,960,653,416,678,233,601,340,305,630,
751,500,179,376,003,019,752,374,584,458,367,244,738,750,611,290,526,219,892,
741,661,194,898,764,901,891,845,801,999,857,521,180,292,080,143,686,256,487,
708,413,962,098,030,566,725,907,947,452,042,284,701,460,223,251,325,983,267,
117,223,690,340,419,551,648,339,132,662,264,761,951,332,057,765,583,474,040,
777,596,681,874,871,062,147,253,252,708,383,034,093,089,006,597,150,948,071,
680,935,493,053,540,178,917,796,004,309,314,734,038,865,785,919,703,973,318,
413,136,407,400,427,065,345,929,176,163,045,808,356,513,608,308,781,461,530,
457,210,564,480,765,543,489,450,538,826,657,614,447,663,532,159,338,767,921,
217,291,993,387,529,293,661,176,187,742,450,813,901,218,586,115,763,269,726,
924,262,756,262,079,240,082,261,629,232,426,819,831,640,723,988,143,456,992,
466,766,966,246,007,791,133,198,578,755,174,735,376,948,220,563,101,298,262,
098,986,336,214,614,776,334,956,301,047,879,753,220,491,469,056,703,769,218,
446,445,641,564,098,047,427,801,788,826,306,946,462,037,569,053,334,458,958,
900,345,726,431,271,017,553,354,379,805,290,092,543,652,862,395,790,163,323,
620,713,362,143,353,418,499,029,205,609,694,604,694,339,119,337,540,439,758,
236,706,436,244,964,779,038,743,768,046,071,761,388,853,060,097,936,508,657,
260,198,766,067,122,191,817,939,104,961,578,600,851,842,741,248,806,156,693,
247,841,338,695,044,792,957,796,757,988,602,220,688,378,250,399,994,642,935,
845,723,404,065,936,850,491,132,838,457,673,006,129,227,499,155,653,656,226,
533,875,482,727,338,940,291,623,309,553,711,694,422,892,401,253,023,268,001,
345,223,383,890,563,049,554,148,973,383,754,670,986,213,403,592,319,707,436,
747,496,413,765,492,964,411,263,466,099,085,678,039,536,986,508,426,235,653,
434,953,424,884,364,883,829,867,556,760,435,346,172,461,339,271,397,750,568,
562,458,011,276,453,867,861,785,544,576,966,930,800,170,078,083,146,289,910,
239,258,827,899,626,455,121,524,826,788,403,278,704,312,868,607,644,801,154,
841,358,728,432,512,763,061,883,354,326,375,259,838,225,907,997,282,018,940,
280,849,426,231,490,844,238,907,725,107,749,354,827,311,645,556,750,052,163,
668,582,422,935,376,177,996,425,894,824,640,379,817,049,982,629,042,034,756,
091,431,120,484,771,803,105,875,402,543,405,370,244,540,823,571,040,969,810,
469,570,717,250,097,017,303,374,228,071,336,137,281,098,503,670,132,486,446,
253,676,305,095,271,770,160,130,014,388,107,369,603,184,730,089,767,552,202,
623,511,721,799,247,275,384,966,723,785,312,481,456,352,967,835,577,078,878,
218,170,186,134,631,321,416,834,839,024,030,475,338,589,920,605,241,521,615,
538,823,679,945,852,584,269,765,123,757,436,379,557,796,652,697,650,799,589,
184,333,211,052,506,081,696,102,235,772,866,394,071,924,208,090,803,091,062,
001,549,685,889,330,868,822,212,261,775,515,316,512,695,234,039,853,293,141,
435,790,944,108,154,164,681,668,026,742,313,662,813,113,498,548,907,181,285,
540,961,836,131,489,631,982,243,841,014,951,240,304,644,156,277,872,574,262,
577,311,607,612,913,650,279,002,910,819,273,886,043,333,074,047,884,654,780,
336,565,561,052,966,683,008,464,538,968,954,153,804,685,370,259,912,459,778,
517,816,910,844,190,532,347,533,657,499,280,266,609,599,065,879,448,083,283,
925,233,653,004,272,205,985,357,112,818,409,758,295,824,497,177,809,311,595,
290,825,805,564,453,338,554,361,166,681,227,271,178,162,669,069,752,858,271,
603,181,922,707,158,842,386,582,741,904,664,768,286,429,389,769,661,760,588,
505,247,817,994,549,466,645,633,085,826,027,709,758,371,928,860,776,400,412,
146,426,162,189,833,110,761,139,557,347,998,379,383,357,971,989,432,462,641,
549,249,146,676,580,332,892,807,400,111,810,665,296,920,074,732,869,860,021,
404,838,861,607,550,023,395,709,683,230,661,342,155,363,889,883,104,941,551,
846,028,686,521,122,012,175,353,075,143,762,160,460,563,613,942,031,564,364,
379,014,393,146,653,403,632,440,959,198,229,642,703,712,087,366,964,147,623,
466,852,161,068,907,795,357,378,109,636,976,795,410,355,799,102,306,738,456,
447,415,872,127,551,955,043,097,609,637,671,658,639,179,113,603,566,254,574,
292,365,880,067,910,571,075,129,301,795,465,913,181,540,903,951,907,908,902,
612,328,195,775,213,578,874,823,339,747,299,309,758,718,233,186,711,300,237,
022,768,021,992,175,616,857,627,242,587,698,795,876,835,000,498,953,218,965,
653,211,458,487,068,944,952,485,945,256,445,030,761,222,956,617,282,565,932,
535,402,879,617,721,491,407,950,686,929,070,800,818,844,449,765,099,141,974,
836,428,466,133,884,786,673,979,370,118,580,752,384,715,267,940,040,172,263,
428,589,590,775,655,910,270,270,544,346,441,645,637,386,606,085,377,746,427,
282,427,591,456,796,584,782,198,317,352,638,169,760,518,177,868,729,043,965,
649,002,341,661,982,078,096,449,128,309,982,519,079,142,554,200,929,445,834,
752,215,319,898,354,986,389,661,819,874,688,475,692,879,301,448,024,168,024,
733,886,797,044,212,071,868,421,931,462,702,207,232,706,138,618,230,075,961,
187,568,811,834,996,607,267,975,225,702,770,190,395,113,036,310,951,536,279,
026,734,703,067,533,530,484,784,383,932,213,195,505,475,747,140,796,996,804,
037,741,168,288,890,071,234,075,959,785,089,278,683,314,763,450,795,003,945,
319,201,241,758,146,181,834,035,794,955,864,774,009,548,703,057,920,175,383,
955,070,109,768,887,120,030,550,176,364,007,910,178,806,615,560,336,831,767,
835,319,838,540,002,990,452,423,618,460,202,980,898,579,768,203,621,339,487,
720,792,607,060,404,916,849,306,199,266,516,511,657,414,788,336,452,401,761,
802,226,156,997,436,428,107,864,249,339,348,364,829,463,689,485,675,849,591,
703,647,639,648,739,954,724,061,217,906,671,691,663,195,394,438,443,559,405,
521,551,710,234,311,556,867,131,758,258,948,720,306,640,379,311,038,936,868,
087,859,880,549,040,528,304,739,356,642,351,073,323,654,096,613,877,679,655,
231,978,694,252,189,561,109,837,898,225,611,335,719,319,713,032,417,513,434,
501,605,240,016,500,723,007,150,064,442,304,318,702,007,363,240,981,722,314,
866,714,083,353,617,891,778,248,949,803,652,752,097,064,788,663,871,198,765,
200,005,438,055,167,869,770,149,899,220,033,327,685,383,107,428,997,248,123,
108,115,869,469,288,048,015,454,476,173,412,111,122,073,426,794,654,769,754,
684,043,093,422,564,960,644,254,062,683,749,594,746,978,372,477,493,695,664,
298,145,003,372,521,401,078,875,269,661,601,740,361,532,055,348,459,049,369,
816,285,663,892,509,812,856,537,221,460,409,650,716,716,458,996,171,238,318,
625,234,204,810,244,821,204,738,772,965,124,497,780,710,498,838,730,749,806,
455,491,921,832,159,573,208,094,157,017,287,473,536,856,532,603,974,626,451,
202,374,838,266,880,756,837,464,431,832,332,688,541,699,928,292,069,107,078,
630,421,816,120,144,029,995,669,635,020,740,232,025,179,920,341,080,797,396,
649,983,391,101,380,928,470,923,751,525,680,412,983,841,953,596,121,720,948,
007,120,672,604,135,716,134,384,811,841,880,032,320,047,069,525,392,525,590,
644,824,527,896,450,943,747,772,332,612,476,725,944,349,585,960,338,383,537,
395,471,732,096,302,524,914,609,725,166,779,201,259,291,682,119,688,488,605,
670,878,206,793,038,547,979,710,337,108,004,453,028,586,344,133,924,737,089,
651,237,103,879,537,103,004,239,369,742,408,801,629,752,674,955,635,729,188,
083,626,432,854,166,892,385,765,853,656,152,227,127,862,981,938,053,768,158,
924,772,742,309,413,605,208,049,923,265,872,694,413,810,309,075,012,579,752,
074,999,976,148,014,144,412,563,401,285,431,727,926,096,250,646,264,158,096,
654,600,969,521,669,738,485,973,288,875,817,099,685,106,564,439,303,778,177,
631,865,842,706,319,483,802,295,373,343,143,090,852,921,455,149,288,790,162,
994,749,523,564,266,008,799,495,340,157,412,596,660,320,434,403,663,566,500,
923,220,074,829,145,712,870,308,478,845,355,138,514,751,409,963,957,448,432,
472,597,192,070,928,464,921,387,347,993,215,894,195,627,945,158,946,614,140,
323,754,241,551,618,871,132,593,645,660,082,037,422,747,350,985,444,673,672,
976,636,192,183,856,811,583,053,659,118,251,190,767,006,324,052,461,505,452,
818,582,432,887,569,859,071,310,372,353,669,724,467,490,596,996,726,386,382,
890,919,427,842,769,923,121,303,498,142,467,346,232,894,196,195,466,755,064,
391,423,877,091,817,114,529,124,280,485,123,646,875,051,046,046,622,386,412,
156,654,234,123,945,147,070,733,914,515,640,867,228,693,418,422,696,409,083,
275,213,563,810,211,222,799,295,440,077,664,707,348,577,588,025,663,332,621,
233,254,276,960,565,986,854,417,869,186,515,121,128,325,665,035,145,006,784,
658,904,469,642,658,575,819,233,440,138,833,039,320,799,470,686,183,357,274,
692,182,799,151,560,582,713,375,334,563,946,560,031,677,389,755,827,498,085,
872,567,853,568,353,205,666,152,381,787,187,252,722,987,085,276,857,032,101,
740,916,085,616,715,343,228,815,303,962,855,270,817,583,348,550,459,729,434,
866,369,979,578,790,732,461,157,808,640,052,735,870,669,668,553,857,410,391,
931,169,645,388,771,570,041,520,457,204,086,189,057,744,813,365,378,565,793,
771,854,231,889,626,671,890,430,946,805,597,550,869,954,227,737,474,292,008,
079,871,702,115,482,532,311,210,720,625,864,479,386,134,280,720,511,203,597,
921,360,164,803,515,325,841,815,283,960,169,158,105,363,562,376,463,314,660,
983,664,668,145,175,253,093,288,637,833,207,922,172,362,383,027,843,313,923,
694,227,272,541,590,191,744,325,694,674,343,325,619,866,632,515,147,567,515,
771,368,086,388,710,873,702,944,464,403,086,931,868,949,692,712,983,511,766,
441,094,167,470,574,821,935,571,439,816,128,288,345,449,210,732,605,979,175,
696,796,936,733,581,569,787,535,461,684,331,411,629,190,511,579,052,658,861,
891,303,426,607,853,640,533,001,479,991,435,108,736,267,500,304,485,346,082,
221,131,551,285,982,969,757,519,580,350,896,315,326,376,277,562,109,301,401,
052,901,770,256,066,156,231,590,339,854,850,346,757,307,590,469,669,569,890,
999,405,600,452,149,130,885,587,110,924,369,124,659,842,380,319,150,780,926,
127,954,139,838,312,068,747,159,258,352,524,704,080,626,475,397,646,780,725,
385,294,209,827,021,311,130,157,089,445,280,039,882,283,973,204,848,913,053,
849,830,626,139,820,222,488,377,892,455,244,904,714,488,524,702,274,126,779,
086,119,996,198,349,931,666,592,869,409,543,949,535,566,464,145,660,038,548,
619,294,547,405,115,451,315,272,203,881,135,279,150,820,136,370,122,278,595,
574,076,037,113,719,647,571,685,231,239,565,888,114,955,891,865,792,274,010,
490,607,530,681,816,744,137,839,769,167,635,318,845,598,832,133,662,133,411,
335,883,097,408,725,766,468,921,233,009,794,596,472,415,927,715,810,432,469,
189,373,341,058,979,797,032,798,239,740,731,266,474,957,784,687,231,585,899,
822,461,981,167,932,412,758,347,876,876,161,347,876,286,728,100,499,605,290,
455,461,806,845,696,926,497,539,848,432,823,979,156,365,381,619,663,872,682,
438,253,338,588,527,020,789,277,933,819,761,184,901,987,117,172,543,354,508,
824,259,666,835,470,516,258,068,011,985,834,487,624,474,180,708,083,456,089,
723,274,570,778,551,352,561,603,621,652,134,035,270,096,427,791,878,979,699,
544,309,068,273,888,460,323,675,757,185,161,700,956,444,883,033,862,957,800,
518,594,335,627,762,327,100,201,666,836,996,499,858,681,182,491,724,257,517,
412,889,783,070,069,299,273,472,195,133,181,658,363,226,456,336,247,030,008,
297,844,362,990,416,423,780,616,173,383,881,772,163,059,626,590,715,227,883,
507,184,475,444,021,245,087,815,513,478,196,206,165,628,924,244,645,125,910,
409,884,597,928,046,821,889,485,026,645,279,786,439,186,169,029,999,817,296,
287,997,350,140,434,833,871,599,781,954,996,394,136,721,223,757,011,924,594,
766,293,802,704,316,508,091,016,603,416,488,036,100,979,465,133,668,866,412,
297,730,361,250,439,596,238,945,209,624,789,904,656,761,754,083,127,514,183,
021,606,432,516,630,084,068,402,639,881,063,960,116,937,476,345,245,159,740,
447,864,452,168,762,802,110,722,216,778,537,217,770,509,609,018,406,212,547,
825,327,813,777,878,292,407,051,165,367,014,311,104,405,156,343,684,498,962,
563,481,449,065,930,850,751,128,900,834,627,348,865,835,777,552,117,728,980,
578,406,119,407,205,553,393,887,384,825,289,121,889,017,899,694,592,090,790,
202,780,699,980,484,295,793,031,244,814,295,852,642,199,884,813,572,661,045,
127,226,105,792,717,880,252,871,681,132,775,803,649,493,783,463,415,487,925,
484,991,148,460,942,128,292,856,695,308,154,067,243,291,252,612,221,658,793,
166,758,950,234,906,966,534,726,324,473,849,072,933,229,024,053,369,972,496,
223,095,279,351,609,086,549,888,654,181,296,730,158,304,026,450,248,448,497,
099,397,452,693,495,946,651,305,775,009,762,015,283,216,469,207,141,099,697,
362,555,197,480,422,849,187,355,777,924,284,819,692,242,895,412,125,935,594,
310,216,375,611,172,426,082,649,903,185,293,709,604,111,880,427,401,487,711,
707,649,429,456,140,059,219,209,694,258,374,371,789,830,026,184,233,768,645,
636,672,803,108,825,761,896,515,089,454,448,157,891,989,462,118,494,571,815,
891,260,252,424,633,936,628,112,172,034,237,087,427,337,423,728,743,835,201,
297,092,251,811,175,087,272,365,690,498,750,992,483,431,729,320,043,639,570,
250,909,040,710,393,647,660,782,519,112,057,899,520,600,455,645,297,162,063,
560,595,424,173,114,595,650,472,493,521,822,170,342,065,499,732,597,433,126,
491,437,255,535,306,497,885,320,469,517,015,187,666,905,194,499,974,643,783,
182,060,704,795,770,012,028,363,891,745,274,048,765,147,729,459,605,218,082,
922,869,603,652,932,335,311,927,047,756,725,928,410,843,066,448,234,212,258,
819,417,772,671,033,118,043,509,814,402,175,075,584,686,526,045,568,435,587,
988,958,837,436,633,584,650,894,335,373,436,262,384,061,833,854,212,469,134,
785,211,295,722,533,737,599,100,604,723,246,979,494,629,508,976,632,846,448,
754,776,874,906,290,878,155,532,359,560,485,510,899,317,862,984,979,218,008,
755,185,019,130,896,467,321,854,897,940,198,112,176,547,124,555,449,711,604,
664,906,228,986,795,026,728,720,159,464,381,194,042,684,249,627,348,130,323,
705,368,882,389,502,962,272,179,857,111,951,045,426,111,345,888,332,592,436,
386,396,343,401,152,263,845,007,309,122,833,622,981,713,456,417,735,304,230,
314,870,277,752,051,349,568,156,863,089,497,945,273,804,387,296,062,599,905,
378,131,130,913,744,449,906,988,559,073,136,411,752,082,997,032,238,531,451,
732,679,224,309,192,699,546,666,802,907,432,394,884,097,091,510,265,727,388,
308,452,105,185,443,953,842,911,808,303,241,694,115,689,401,627,567,025,936,
474,447,602,412,602,206,035,493,361,144,855,079,819,658,389,385,102,936,585,
329,719,149,167,546,794,812,042,120,243,514,998,311,084,978,468,794,064,435,
238,585,263,800,377,769,133,165,294,840,930,302,506,921,225,899,080,030,630,
869,647,731,368,095,535,596,366,547,959,673,650,981,930,905,862,145,889,737,
667,466,440,950,750,573,998,957,170,857,292,458,181,583,795,082,255,689,563,
719,645,334,523,081,953,047,466,324,750,739,829,967,343,632,845,612,715,504,
873,473,919,054,146,677,272,418,040,904,485,032,566,631,872,187,954,891,003,
574,449,900,736,404,375,089,508,063,809,140,729,150,027,163,716,407,615,665,
759,965,240,757,291,976,894,128,120,229,400,486,294,115,145,633,208,735,523,
598,511,698,435,916,640,465,257,741,525,600,586,102,169,017,490,077,605,169,
648,767,137,924,323,704,917,833,134,167,626,513,338,457,883,972,540,529,693,
957,867,607,323,388,669,980,918,356,147,619,437,548,477,994,354,468,382,971,
307,521,659,254,455,752,287,457,312,026,754,690,002,469,918,600,299,762,837,
498,304,522,246,632,564,774,969,447,629,515,938,411,670,971,213,813,603,709,
213,814,944,615,110,273,570,285,149,786,488,286,511,873,217,722,692,750,159,
000,996,892,640,711,463,373,373,420,580,628,273,410,396,798,053,884,756,061,
894,977,197,414,646,116,887,274,365,932,078,073,251,788,382,916,258,198,518,
547,484,631,363,036,973,460,753,587,454,130,637,316,487,007,433,952,307,168,
499,128,410,523,375,140,736,577,621,152,616,181,781,160,428,342,788,828,305,
061,825,709,602,278,776,793,097,038,883,463,207,765,318,397,305,429,979,812,
410,959,376,439,034,127,847,619,262,651,474,078,298,093,653,150,827,706,330,
893,808,236,873,551,890,581,791,988,698,044,775,103,227,673,709,353,805,487,
075,262,603,432,978,831,315,600,322,591,831,774,414,603,467,381,174,818,586,
104,015,101,474,605,657,439,675,380,734,025,756,073,876,313,886,491,494,668,
363,560,066,069,058,416,866,003,656,422,017,994,048,998,538,267,914,612,690,
344,583,971,046,698,823,366,827,347,441,948,659,019,798,060,391,711,633,474,
677,774,830,216,740,196,988,974,780,445,048,491,818,341,575,401,645,222,302,
238,565,367,002,948,430,591,867,321,937,439,770,819,060,030,016,839,613,889,
023,586,660,915,226,000,079,411,394,488,867,023,485,227,809,265,246,209,953,
152,862,396,259,414,593,269,958,271,142,812,188,352,869,895,559,792,523,813,
381,498,810,319,553,846,455,561,600,013,550,692,400,065,947,237,648,923,891,
744,207,074,525,759,473,503,008,416,073,796,718,932,683,169,227,404,527,959,
290,637,439,805,674,524,156,799,378,070,162,923,457,342,935,936,437,006,813,
622,301,257,679,916,028,285,031,249,209,793,922,372,311,289,923,440,384,163,
050,707,336,034,573,970,404,740,962,784,478,674,643,314,530,245,692,557,263,
712,893,999,408,818,155,690,549,835,430,635,942,162,122,503,422,393,722,020,
605,634,135,342,622,676,811,318,726,704,434,764,447,525,966,564,650,292,505,
638,628,688,955,847,683,417,277,404,981,986,714,815,088,951,536,093,663,257,
340,680,365,656,916,781,424,319,677,673,060,327,414,183,920,809,573,095,153,
019,725,971,829,999,471,423,455,486,732,992,787,926,045,886,336,149,705,700,
557,853,916,488,549,338,277,355,925,684,938,080,905,767,540,691,047,836,380,
719,176,340,250,903,366,676,248,057,796,196,833,533,971,448,681,613,359,393,
778,362,594,744,725,828,881,239,690,368,091,220,125,807,126,142,151,239,376,
841,722,928,726,672,990,432,353,502,176,612,536,372,927,159,352,054,692,324,
448,709,949,217,383,124,656,526,210,823,113,982,469,181,176,191,663,590,767,
180,066,153,485,797,052,854,518,232,480,961,046,223,661,853,864,961,799,357,
911,902,014,659,965,551,721,447,473,658,224,413,121,619,283,743,420,187,698,
377,473,838,195,764,463,214,153,814,968,606,357,315,157,670,822,499,697,689,
663,451,049,968,660,581,954,659,011,946,950,509,458,057,996,701,231,311,618,
634,727,601,349,931,860,474,226,336,033,897,420,091,251,529,759,166,523,706,
146,946,217,034,172,450,259,118,106,496,529,368,292,573,799,066,732,574,144,
573,716,973,337,672,189,361,480,785,296,742,511,330,246,591,284,705,092,574,
185,317,301,384,706,584,058,832,200,675,610,164,578,131,721,257,632,337,352,
926,413,709,538,610,515,915,873,494,330,201,247,342,231,062,852,372,682,693,
685,232,221,842,256,783,552,944,523,278,560,412,550,310,193,713,981,246,428,
947,903,066,876,846,645,231,632,803,823,738,837,020,382,871,532,797,826,371,
866,309,594,033,665,170,404,928,606,542,411,995,365,827,879,086,388,864,341,
443,674,541,066,716,665,134,525,457,029,452,113,622,731,376,351,164,283,493,
806,441,713,229,090,048,773,530,176,656,787,300,741,000,494,824,698,257,065,
810,082,011,327,949,280,607,109,653,865,100,238,928,745,848,560,921,656,641,
020,528,714,537,918,579,629,236,595,540,467,001,132,046,762,293,430,746,791,
772,703,994,587,569,473,116,125,878,819,549,402,544,872,098,434,430,985,657,
390,912,892,783,391,942,736,665,884,861,747,258,607,143,269,464,087,394,167,
848,148,238,605,620,207,271,137,683,140,817,125,549,746,714,766,004,145,986,
551,710,955,911,723,121,270,438,808,449,328,197,286,995,902,465,479,059,014,
444,415,438,853,978,245,574,706,148,267,812,765,286,573,864,674,346,433,530,
407,534,199,543,090,598,250,025,511,486,138,501,615,448,696,273,503,889,800,
401,178,585,123,414,191,759,017,205,051,130,859,549,036,075,973,927,117,992,
490,155,756,307,258,581,538,662,515,007,306,129,655,020,381,958,859,945,991,
810,751,325,438,189,455,525,358,228,139,906,787,471,310,891,749,499,314,197,
792,844,442,639,262,364,224,254,075,104,681,289,112,837,406,228,971,091,272,
471,080,660,704,462,893,521,038,253,170,882,724,543,578,008,849,055,011,220,
903,120,675,677,675,396,441,431,523,196,559,446,504,404,419,666,982,770,044,
757,072,399,311,228,581,418,715,175,860,984,100,250,121,445,434,134,038,876,
149,917,675,617,386,892,986,111,817,882,419,472,461,879,581,313,697,092,137,
298,171,691,749,532,302,803,169,511,777,169,291,406,267,283,311,410,805,979,
550,907,861,368,761,909,960,883,608,524,673,967,128,574,482,754,849,541,031,
293,805,965,781,014,146,837,606,094,548,449,800,919,448,608,801,539,571,151,
927,929,921,093,248,782,491,756,407,652,742,748,629,662,094,913,599,595,014,
766,251,262,202,384,898,558,865,159,464,603,973,465,172,039,926,819,223,016,
335,344,784,388,275,815,107,204,960,349,174,225,797,837,809,572,056,068,708,
819,360,695,653,197,490,114,870,832,224,150,031,357,294,273,531,473,124,159,
784,492,695,787,956,171,165,564,750,161,589,313,575,307,807,198,897,142,260,
769,896,335,343,984,196,675,628,102,420,612,679,536,657,940,451,025,282,993,
542,649,363,670,568,368,210,711,029,125,032,934,216,159,026,419,621,164,262,
422,946,358,424,063,880,255,964,827,895,124,977,779,102,338,845,380,209,019,
476,221,389,129,008,727,088,571,370,649,959,046,768,487,803,666,069,048,548,
936,280,053,663,898,822,826,890,474,586,716,384,290,558,892,177,065,908,579,
260,938,493,841,475,548,640,026,023,160,430,338,172,267,120,427,171,682,991,
016,555,682,075,552,641,421,486,225,879,858,356,385,594,524,302,149,460,645,
680,813,636,260,224,914,294,075,652,964,181,887,326,837,118,938,212,569,312,
757,732,726,693,925,569,348,518,124,283,251,140,278,433,870,880,602,381,748,
821,336,243,452,980,633,700,522,806,471,248,136,010,828,929,258,465,635,634,
941,740,378,221,533,913,208,361,729,437,477,268,340,697,067,085,348,381,698,
337,894,072,286,668,324,346,355,496,825,650,503,909,297,525,563,046,200,561,
452,550,423,563,533,850,581,740,151,586,725,172,602,697,393,214,720,406,880,
169,488,535,401,601,289,888,241,695,750,606,057,684,885,844,747,503,974,702,
393,909,823,438,023,232,982,845,014,793,724,071,410,572,542,240,068,496,279,
964,017,473,464,460,219,759,479,175,699,916,983,278,128,281,183,884,900,810,
417,540,441,947,284,499,104,935,370,614,226,369,058,611,720,577,088,255,681,
519,574,969,186,038,673,558,670,498,432,930,097,250,151,745,437,759,351,820,
883,682,853,013,900,268,475,062,338,561,073,122,688,777,527,455,033,338,154,
687,102,525,872,152,964,252,395,743,333,103,988,450,586,113,922,056,461,915,
848,801,701,246,889,452,964,823,413,580,631,924,210,553,532,956,539,625,162,
075,765,115,306,406,371,985,141,728,750,431,582,496,705,363,414,734,559,854,
429,109,788,863,144,602,170,823,488,750,920,639,317,119,799,572,907,005,199,
779,505,848,217,730,510,561,239,129,635,442,683,688,647,296,698,942,078,676,
619,721,748,743,322,410,486,370,053,460,985,679,683,851,028,793,505,865,225,
429,506,597,552,979,010,039,804,975,013,048,999,258,567,372,480,512,202,517,
450,842,498,950,783,918,932,132,818,458,772,154,907,877,188,068,287,672,221,
854,030,678,120,917,698,399,316,397,734,911,386,788,044,643,917,359,206,450,
648,784,438,988,163,850,828,618,901,067,727,708,043,407,540,623,197,335,928,
945,111,899,398,652,682,120,954,430,226,816,097,086,580,525,982,659,892,774,
146,836,074,132,651,684,859,467,191,630,668,505,582,289,176,372,155,694,290,
350,652,624,484,703,976,673,765,241,621,986,839,392,180,486,489,801,814,268,
422,714,027,165,660,858,491,793,112,526,677,118,630,357,134,131,385,401,120,
303,279,230,340,617,049,917,142,355,113,188,563,465,467,017,248,583,904,342,
803,159,179,622,972,625,409,555,960,689,240,573,334,782,227,903,677,220,431,
304,871,545,599,960,523,233,800,646,790,914,251,154,866,821,734,939,178,442,
562,884,741,803,361,555,493,753,981,147,254,697,822,123,960,347,554,230,860,
635,038,203,099,843,375,503,872,315,487,124,708,057,829,332,900,230,199,252,
640,679,305,632,687,794,034,553,829,515,752,121,483,110,820,026,647,249,687,
613,668,649,992,800,917,462,901,031,435,536,756,794,265,050,161,240,227,999,
921,546,551,404,646,552,369,066,566,982,015,387,177,897,287,960,715,685,632,
503,440,715,966,769,050,835,081,439,081,173,518,360,704,709,616,240,514,485,
773,308,355,143,146,370,637,703,880,353,652,126,027,141,382,107,305,390,884,
266,961,909,696,767,966,302,722,297,304,218,754,291,620,195,165,978,934,849,
375,238,700,542,980,385,855,430,199,832,927,159,124,096,567,900,417,225,559,
581,187,416,579,581,272,086,302,244,236,993,583,411,626,111,800,262,144,303,
926,042,456,517,844,922,731,157,425,586,774,739,380,037,379,953,926,126,953,
921,131,960,848,102,706,005,032,245,876,320,352,163,468,722,908,529,781,195,
543,909,067,391,744,716,461,862,310,314,738,434,721,728,213,476,313,928,630,
330,944,169,887,873,175,064,404,550,471,703,382,863,781,202,282,042,154,088,
824,152,441,288,364,633,663,394,284,871,926,643,194,678,574,809,608,677,440,
019,480,770,208,611,207,830,101,840,957,834,924,355,028,049,346,414,351,506,
143,732,879,478,434,401,095,790,028,762,901,646,818,194,408,537,609,243,803,
161,432,776,018,214,261,860,743,666,697,216,236,721,414,927,831,501,818,997,
639,365,059,864,205,054,009,031,823,344,940,400,655,435,040,079,782,226,751,
431,833,928,685,821,381,917,261,063,633,764,539,501,708,275,324,090,683,149,
196,380,135,160,483,180,513,302,834,497,714,693,877,069,977,598,301,323,148,
502,391,792,645,195,700,352,598,086,178,548,180,269,339,639,974,512,883,961,
788,172,823,642,078,817,136,040,711,973,877,464,435,755,636,561,820,849,545,
061,037,926,107,373,006,935,773,100,366,739,528,755,387,272,949,031,321,294,
252,985,523,619,266,135,464,036,483,765,657,999,073,691,928,032,905,051,952,
069,475,877,902,683,961,846,681,141,442,300,246,574,648,185,755,757,944,228,
313,270,365,003,580,107,040,307,153,729,144,173,603,257,582,397,965,722,246,
292,838,040,459,075,102,225,140,690,121,349,010,936,363,022,476,633,172,508,
294,746,407,233,626,245,172,107,208,703,444,692,385,389,908,227,444,279,070,
452,376,643,375,266,022,635,126,654,225,255,701,964,443,551,762,477,826,278,
049,950,651,484,042,909,446,440,206,607,847,755,138,777,895,287,866,274,514,
923,642,806,618,380,462,540,277,211,098,586,775,428,222,702,976,986,485,699,
354,377,287,812,531,619,301,892,760,309,680,953,816,480,044,442,199,079,155,
964,143,467,031,867,513,630,365,469,461,700,573,289,999,274,059,864,037,477,
160,594,335,951,300,270,410,582,352,591,163,614,677,556,844,471,101,226,459,
308,621,437,825,534,925,413,780,385,363,462,422,863,668,073,960,894,065,526,
034,839,829,487,532,022,747,556,080,185,327,334,799,129,884,527,549,722,212,
339,522,880,566,521,203,686,292,367,108,759,545,114,635,226,711,503,185,104,
522,311,997,025,650,352,743,928,363,391,739,432,375,465,955,272,442,728,719,
250,192,219,052,142,821,075,377,224,888,659,454,183,034,779,959,522,358,716,
848,047,031,829,221,473,860,159,897,403,063,947,310,199,756,064,982,660,888,
471,970,022,850,936,893,172,460,279,713,785,810,974,470,686,271,636,773,993,
154,287,165,763,087,730,654,270,363,675,440,438,879,997,803,954,676,940,714,
903,797,435,847,318,362,558,194,561,520,447,854,430,546,463,107,508,349,514,
545,129,687,144,936,001,734,660,799,534,163,252,754,756,213,173,892,855,973,
757,613,527,204,713,832,238,815,787,505,178,948,416,548,463,614,576,576,146,
160,998,351,483,142,444,294,939,592,053,975,068,270,421,981,995,554,933,944,
703,461,535,704,718,103,814,642,813,387,018,466,519,408,664,684,755,888,562,
438,676,640,552,528,627,302,302,776,318,383,887,191,496,340,536,054,913,358,
627,589,179,492,099,941,523,415,617,902,909,107,423,505,916,865,062,530,543,
473,987,935,339,177,777,788,116,268,832,843,711,391,580,239,559,226,710,348,
479,424,937,331,901,039,461,214,200,909,508,131,013,602,665,095,116,262,678,
578,459,354,241,608,204,070,233,617,459,695,133,951,740,806,046,312,440,920,
009,062,205,987,415,833,233,609,213,128,884,108,836,992,617,254,148,966,678,
461,441,495,805,758,011,535,689,425,029,512,854,238,015,934,572,959,973,904,
867,951,563,420,117,944,592,846,006,069,176,302,908,074,363,033,759,467,822,
512,601,506,372,207,999,557,308,878,205,809,720,031,645,777,725,722,937,824,
439,929,293,259,983,205,240,494,094,874,954,691,573,471,044,688,437,808,260,
809,635,354,731,481,940,729,746,613,419,504,471,049,547,830,327,408,778,585,
972,267,320,902,750,581,355,872,512,896,927,810,696,922,162,290,245,463,820,
592,479,186,989,973,033,504,086,130,615,322,697,580,792,199,827,724,097,545,
964,642,602,745,660,761,565,620,524,630,886,492,533,114,490,994,664,543,871,
002,490,457,615,967,292,017,235,455,764,047,189,913,417,562,338,019,815,617,
711,460,345,286,214,439,403,224,343,270,025,853,019,174,766,776,486,673,879,
566,877,472,060,545,484,147,373,716,890,161,917,097,625,664,949,521,593,334,
817,398,373,754,265,624,965,929,213,461,596,501,113,072,877,786,917,650,633,
553,891,122,780,733,351,354,627,411,640,876,687,002,354,192,752,445,432,887,
373,173,256,464,459,773,096,010,987,711,735,925,975,379,780,472,294,659,749,
371,697,087,359,122,659,390,191,535,593,405,322,109,090,382,713,546,018,499,
662,406,682,175,727,191,180,251,368,779,795,287,925,683,068,809,760,011,496,
621,805,564,685,441,555,092,794,883,238,604,059,402,874,429,173,802,994,836,
536,833,969,026,868,094,558,963,194,249,734,138,111,247,004,550,963,280,672,
920,370,579,643,451,674,912,343,625,745,641,723,750,605,499,389,952,357,008,
908,511,956,582,913,202,748,647,929,251,883,992,657,449,272,636,424,166,085,
933,970,394,465,799,644,352,182,640,626,784,695,793,578,483,248,754,049,654,
666,726,845,864,371,311,855,340,961,326,058,279,723,383,354,235,857,911,518,
298,179,647,934,440,955,921,839,849,390,591,859,275,577,390,378,752,015,077,
670,076,031,520,832,833,241,962,244,347,720,894,026,637,349,359,970,867,738,
814,249,070,500,847,471,626,696,921,918,896,530,462,764,006,681,772,873,250,
688,216,778,194,085,323,917,223,895,142,996,640,519,514,518,816,895,479,725,
051,120,333,887,484,824,689,470,306,084,809,867,634,681,782,021,869,130,735,
574,207,320,076,851,712,692,309,568,129,676,186,186,327,532,847,600,071,907,
909,805,614,343,649,876,694,111,232,991,124,065,419,605,559,151,673,887,110,
303,256,489,545,209,281,219,599,306,667,958,884,481,633,524,958,074,003,868,
400,633,397,906,285,767,313,663,653,653,726,340,693,992,601,861,532,823,474,
805,486,283,015,846,742,908,725,188,431,709,379,411,011,706,603,352,719,835,
428,448,326,057,236,970,953,721,887,567,003,249,693,853,512,361,248,180,217,
942,279,174,043,559,389,101,227,958,043,904,462,272,852,032,227,662,155,210,
420,655,982,027,089,427,755,905,495,616,270,045,213,126,757,967,153,444,299,
204,136,554,825,242,604,479,345,844,858,457,485,398,420,977,350,010,001,596,
606,808,696,011,492,289,052,126,172,652,310,024,478,110,614,081,204,979,209,
084,192,772,778,986,770,833,689,374,241,797,933,322,663,305,877,151,951,247,
159,750,083,357,677,357,316,373,238,660,869,553,967,431,376,408,057,716,740,
807,989,817,232,403,036,101,177,605,657,540,129,761,278,811,005,373,014,114,
564,447,338,914,715,605,827,821,815,113,719,684,724,874,902,179,311,777,578,
576,638,256,193,321,014,704,249,743,909,376,325,955,624,482,278,985,233,918,
074,139,411,471,036,452,247,710,083,218,807,905,108,549,187,171,029,240,203,
565,340,672,511,271,086,750,447,432,242,398,734,999,662,451,133,679,949,487,
206,357,595,393,133,965,396,194,220,388,785,372,175,218,018,856,578,470,481,
290,701,611,347,495,397,183,140,005,248,004,727,539,606,079,299,701,843,411,
395,124,255,920,654,178,581,942,851,646,230,648,565,932,182,527,713,458,661,
150,335,386,019,305,290,576,448,725,347,928,195,378,472,804,831,769,841,436,
783,583,806,964,187,293,780,705,723,866,192,608,191,008,250,542,705,944,772,
196,758,771,724,198,829,430,261,999,774,814,877,123,129,300,471,079,454,471,
981,583,569,214,946,009,034,818,229,086,726,794,181,435,181,590,159,622,036,
823,052,488,472,217,651,382,403,171,275,053,652,272,613,882,490,664,725,925,
752,425,959,160,622,661,818,542,094,302,972,575,294,118,412,212,545,599,697,
427,846,154,001,868,005,364,118,367,055,423,503,341,054,793,955,660,414,048,
006,207,533,118,184,184,313,051,855,520,000,096,988,066,846,555,690,767,391,
505,649,598,955,966,406,160,278,026,279,936,103,484,793,334,175,677,014,933,
692,527,459,717,034,385,110,781,639,510,148,000,794,274,560,218,613,548,199,
023,768,052,037,337,014,995,194,502,292,747,872,526,077,568,339,815,285,470,
463,290,886,316,469,983,917,730,548,419,750,611,119,834,628,242,349,551,749,
400,745,365,092,441,365,776,012,677,454,927,958,214,421,136,029,418,148,480,
607,697,783,222,094,509,879,927,590,754,911,229,086,403,319,020,653,762,116,
821,861,184,574,490,551,381,151,923,888,129,743,747,099,403,901,055,097,035,
677,898,211,317,362,435,142,320,711,088,660,219,429,791,651,447,197,571,111,
714,287,092,647,330,048,370,468,129,789,117,119,065,219,593,501,261,356,675,
453,989,921,983,542,950,258,623,126,446,410,601,376,484,242,834,721,699,384,
032,598,056,412,980,765,677,954,067,066,606,747,056,238,221,895,365,026,160,
282,637,584,571,311,264,648,663,433,409,240,959,238,854,421,115,360,291,789,
503,713,094,500,066,089,799,359,529,186,904,693,443,210,451,792,842,550,147,
543,780,444,523,212,642,963,657,603,702,939,878,245,408,866,377,003,175,407,
951,589,311,584,958,243,110,499,602,025,822,280,039,484,270,737,949,044,022,
401,599,207,537,236,191,312,571,065,619,361,044,210,389,299,211,438,479,989,
702,649,115,028,019,071,349,100,258,567,929,819,475,538,737,226,596,273,587,
104,213,950,894,967,081,552,512,566,979,468,939,480,299,598,677,559,233,489,
980,453,304,659,780,780,870,511,179,565,564,834,547,345,820,580,202,211,847,
676,616,264,607,145,115,749,733,886,907,508,421,912,505,080,237,106,441,366,
377,512,509,262,793,192,867,989,663,602,874,269,944,921,874,789,314,866,077,
721,197,225,711,545,918,643,261,524,374,859,029,653,233,983,600,634,502,205,
146,190,004,923,355,967,937,554,862,198,518,081,846,441,564,005,847,019,479,
248,509,873,976,363,014,511,456,817,973,751,510,261,850,083,458,298,178,530,
986,244,715,423,230,325,483,144,325,297,738,932,289,548,312,023,185,550,015,
872,061,360,013,170,737,548,665,738,648,211,255,740,119,145,373,532,753,567,
855,603,198,291,157,254,320,334,173,127,539,561,801,199,977,305,186,462,895,
465,010,473,564,024,393,850,081,643,961,113,221,771,695,636,449,139,177,368,
632,609,438,815,510,978,553,205,870,943,218,861,166,287,898,161,357,702,774,
542,269,868,584,786,911,322,175,839,061,672,162,027,289,849,652,751,112,479,
128,734,692,828,437,065,073,890,242,618,364,365,702,970,447,371,745,742,679,
455,320,023,687,010,100,137,454,090,672,593,017,797,418,943,092,964,110,313,
457,802,567,468,960,040,673,871,025,077,541,215,000,846,088,980,017,880,332,
330,637,705,468,918,378,086,024,468,447,070,663,236,003,201,966,346,571,899,
780,352,810,116,709,549,986,226,357,933,686,120,452,248,376,246,556,867,222,
207,351,847,636,624,375,886,105,492,085,504,238,409,949,455,367,755,312,415,
166,488,649,731,228,114,472,131,593,663,302,295,802,942,873,568,512,811,363,
640,414,078,177,101,670,871,986,561,467,325,116,176,074,894,757,552,496,359,
272,921,556,610,792,801,406,963,688,815,519,583,927,957,015,270,511,056,505,
946,754,878,204,797,574,021,388,362,272,066,512,049,675,563,301,546,378,164,
451,737,540,886,324,984,642,651,263,648,620,620,243,828,339,206,905,003,402,
196,109,620,155,267,959,107,395,914,396,842,037,967,070,708,417,763,727,737,
992,717,597,890,358,547,576,804,396,426,771,261,743,908,095,738,552,511,485,
309,073,953,063,507,519,795,512,937,992,764,751,364,774,300,416,067,149,234,
525,211,861,166,277,244,453,045,201,946,487,031,625,645,566,848,355,129,090,
970,185,993,871,606,285,526,751,759,378,388,801,428,193,780,160,185,828,792,
268,720,645,074,915,190,976,449,177,229,870,914,221,565,844,004,093,388,799,
772,236,988,970,829,860,339,714,555,388,291,133,288,890,765,193,682,816,139,
976,069,055,335,673,028,806,175,618,349,282,984,630,356,717,892,576,891,827,
518,095,023,833,822,209,272,980,065,002,291,722,018,152,434,014,781,741,436,
239,638,525,784,632,890,255,556,589,297,909,000,582,883,440,877,078,378,686,
466,037,958,473,996,801,087,497,112,554,419,173,513,914,145,654,039,079,787,
427,944,594,197,800,524,913,022,053,473,144,086,330,256,617,926,192,829,094,
027,313,336,530,853,061,155,219,803,962,296,857,969,896,842,500,794,524,207,
508,260,350,253,383,401,571,414,940,942,297,444,363,095,200,720,539,524,420,
716,944,183,649,466,985,787,561,410,287,221,260,343,366,592,863,056,887,504,
690,874,597,621,304,863,385,663,415,308,421,802,137,422,452,559,569,809,677,
659,585,317,897,574,534,864,620,265,137,974,371,576,363,269,153,418,195,232,
212,244,135,066,088,166,675,187,430,275,155,227,283,531,795,498,649,166,939,
996,960,312,470,160,658,645,546,541,327,925,258,279,794,810,863,711,494,834,
103,526,189,425,203,835,516,523,566,695,292,407,316,480,764,814,380,656,242,
858,490,455,500,705,883,379,858,055,997,567,856,741,646,219,054,643,891,413,
874,788,828,061,320,420,578,736,494,935,330,524,612,578,051,828,918,973,379,
634,680,482,271,422,421,367,491,698,410,597,553,969,200,488,097,767,785,070,
228,477,893,909,870,610,747,656,508,283,988,363,020,820,125,378,860,593,849,
548,410,208,933,603,359,679,844,440,951,791,937,631,877,319,385,816,431,939,
202,507,895,864,280,605,857,212,105,984,474,197,507,891,291,957,451,056,403,
901,465,433,941,555,496,724,613,670,301,505,988,561,797,762,737,360,115,547,
747,226,342,372,209,454,574,412,051,079,835,255,220,403,998,887,199,768,071,
942,503,786,092,026,149,274,325,026,498,617,695,213,549,259,695,544,459,387,
944,515,667,671,305,839,340,449,292,367,829,048,320,080,328,594,413,240,263,
556,790,134,483,875,138,777,367,122,477,922,184,207,466,260,166,077,259,059,
796,519,255,220,697,550,389,492,385,424,182,952,355,551,634,660,943,778,482,
317,294,714,801,873,451,246,338,224,193,406,314,327,674,371,425,376,717,463,
914,791,804,165,514,899,330,878,433,517,388,881,796,629,893,482,911,771,599,
092,739,625,839,602,827,377,880,197,480,955,427,791,998,249,039,139,559,971,
911,387,522,820,487,261,983,303,440,840,005,507,552,329,611,998,797,094,624,
505,704,095,630,088,733,002,475,852,748,509,173,866,272,341,769,043,705,804,
290,017,868,724,418,128,116,653,814,061,832,813,971,003,757,787,201,583,105,
156,864,226,269,511,701,340,085,428,381,451,187,434,895,601,391,309,870,337,
982,492,338,711,192,237,360,774,208,424,019,087,678,822,045,584,356,216,824,
093,615,580,980,196,967,536,611,419,242,537,512,032,695,314,665,875,420,829,
034,100,975,899,985,583,783,451,331,227,205,784,619,831,407,822,649,662,125,
278,748,211,528,085,206,319,376,165,411,608,630,090,794,272,406,922,967,284,
353,537,853,433,233,792,254,913,010,973,924,276,480,028,518,187,757,373,651,
862,321,821,922,806,441,775,676,860,406,006,578,736,171,756,464,701,309,282,
914,742,002,318,574,120,984,886,817,830,912,276,969,637,422,388,574,545,366,
419,516,375,909,932,882,131,083,227,630,280,656,779,995,715,100,117,330,826,
301,506,364,955,151,820,571,719,904,952,303,948,815,102,047,629,138,766,546,
613,188,236,770,743,133,881,144,963,993,483,185,771,361,559,756,123,333,652,
986,465,236,870,346,344,318,991,032,737,187,611,797,886,721,321,444,797,595,
352,360,427,578,957,732,762,773,179,848,020,511,708,906,183,989,185,839,422,
642,614,879,004,181,138,962,454,649,540,976,486,912,824,135,426,729,808,441,
511,255,415,771,854,909,675,302,250,706,643,643,055,197,193,698,553,511,058,
759,473,045,587,177,806,288,707,975,446,654,704,922,769,355,963,401,320,666,
810,645,106,219,424,740,616,764,212,434,997,989,770,781,394,547,103,483,927,
859,553,003,719,636,586,744,991,243,214,694,575,726,183,678,197,038,442,101,
997,090,234,194,679,402,735,898,766,532,186,609,965,733,632,159,249,500,328,
729,380,427,178,249,814,344,796,395,691,030,346,567,011,893,845,661,485,251,
745,499,041,302,511,594,623,288,968,049,578,631,821,601,044,057,804,105,895,
153,287,436,954,743,570,745,862,765,785,387,528,044,487,971,539,387,945,313,
761,252,880,982,044,732,206,950,951,033,335,117,025,206,266,926,277,211,840,
815,994,247,525,552,804,780,513,546,769,141,233,739,162,256,297,510,234,242,
691,784,453,227,735,562,061,579,504,242,375,201,542,726,345,412,076,023,990,
694,610,824,469,518,016,410,400,083,074,044,905,358,896,322,291,157,773,378,
276,341,670,312,304,560,089,722,600,668,019,936,067,313,526,871,083,247,692,
627,330,652,900,223,301,295,828,970,658,261,629,428,864,266,109,348,373,561,
384,071,101,566,765,217,844,383,568,713,896,481,985,586,277,797,758,641,711,
735,493,750,548,081,035,564,254,557,527,460,426,116,170,684,945,536,866,652,
204,095,256,776,988,057,833,798,956,434,282,211,894,331,077,089,375,777,986,
369,746,730,343,762,186,881,247,985,147,932,483,093,950,326,128,197,729,717,
398,065,136,168,040,626,949,939,005,517,729,630,171,671,738,615,421,579,861,
729,555,814,321,589,948,119,112,300,212,420,781,435,464,918,621,444,077,002,
613,257,297,088,008,202,794,664,972,931,001,298,406,586,413,695,154,930,320,
816,029,515,884,319,377,304,904,322,308,365,592,625,515,943,388,474,552,230,
993,635,799,988,060,425,291,815,724,828,280,561,199,089,174,758,231,421,287,
074,816,217,504,069,961,897,338,623,515,342,787,648,878,320,599,495,803,022,
174,595,588,533,549,988,308,673,275,611,492,098,799,253,385,113,153,842,170,
415,415,169,736,390,571,979,319,265,823,199,166,966,775,338,318,382,318,285,
720,231,707,384,567,829,407,955,856,193,120,341,899,899,538,455,575,945,406,
089,956,643,964,981,038,354,850,017,428,628,857,611,589,002,951,268,629,558,
730,399,987,054,325,861,674,871,123,412,095,711,133,419,307,132,519,991,592,
881,814,066,356,830,512,887,817,643,586,550,560,244,047,390,982,685,729,864,
840,283,941,517,081,935,244,001,106,147,437,067,323,467,341,294,336,192,156,
411,046,538,030,395,257,430,651,477,238,543,061,748,070,762,998,367,771,643,
953,361,010,238,915,845,071,125,342,414,644,792,913,402,796,187,334,141,673,
724,494,234,057,306,557,741,862,912,195,234,995,111,620,394,409,683,277,349,
616,763,131,729,336,386,722,885,198,934,360,834,361,341,402,655,702,394,319,
324,149,212,423,466,908,049,002,886,916,824,677,909,881,158,370,365,043,898,
418,320,933,228,038,381,259,819,202,546,867,433,531,505,245,684,376,993,100,
131,795,744,839,390,205,381,360,657,123,241,565,150,753,184,019,851,975,944,
394,692,197,215,830,753,662,308,375,908,127,832,360,376,771,158,370,703,721,
570,672,049,212,693,215,894,124,752,176,711,276,980,484,742,783,741,671,923,
300,258,233,480,939,260,943,229,766,151,455,365,453,976,751,422,946,648,397,
196,482,730,667,149,377,820,097,128,299,806,137,965,528,015,335,006,098,128,
749,339,474,360,105,738,643,610,111,937,567,671,162,289,605,424,709,031,012,
933,338,637,507,500,366,030,908,455,709,986,603,299,551,603,104,327,074,368,
429,720,293,985,635,875,840,717,182,610,803,312,080,630,156,711,746,477,517,
387,679,081,926,682,067,255,322,667,216,341,041,192,962,666,998,071,305,869,
316,909,567,576,912,229,804,660,486,715,603,945,563,182,300,851,030,254,533,
923,341,184,973,961,151,509,391,312,926,448,853,296,505,294,029,189,674,404,
260,267,003,929,512,686,928,644,787,600,811,642,114,368,096,483,145,890,130,
226,650,372,393,902,499,405,750,876,101,894,122,871,464,070,223,486,617,384,
771,681,980,283,279,475,643,152,744,177,025,030,900,822,422,261,374,447,036,
270,090,623,594,664,385,911,346,431,846,757,111,682,354,831,639,835,744,557,
543,217,321,856,298,962,509,312,813,280,483,013,309,421,359,613,147,280,471,
081,977,213,016,842,836,759,858,177,943,114,003,707,547,406,281,582,981,259,
818,428,731,224,501,157,010,768,414,828,214,028,318,183,935,128,616,697,551,
791,634,187,201,695,366,577,719,967,109,953,371,467,682,903,602,214,305,483,
268,971,555,311,320,586,016,990,218,617,012,050,343,898,989,426,641,426,560,
743,316,251,070,321,790,332,395,998,166,417,469,326,753,079,461,304,881,137,
707,744,534,806,708,098,998,390,001,309,459,769,122,817,518,615,868,978,590,
970,225,257,060,637,112,989,367,035,175,881,986,762,810,959,666,323,215,303,
842,407,212,948,495,517,604,235,894,887,712,583,562,925,264,741,536,744,956,
131,437,278,725,283,465,766,825,112,022,323,153,544,137,949,794,652,287,046,
885,739,590,307,379,220,248,921,735,592,160,977,251,685,893,784,282,555,107,
052,894,273,434,176,746,265,187,970,935,287,966,665,619,335,254,084,622,712,
582,751,232,473,186,409,139,647,198,623,126,325,817,598,565,007,845,752,908,
557,302,400,934,666,764,894,360,965,754,674,800,160,438,343,369,983,056,741,
788,386,407,766,413,179,390,492,998,547,387,349,128,569,982,166,995,060,598,
790,677,086,591,413,034,480,184,865,095,294,028,562,392,771,174,135,672,180,
587,303,280,931,561,807,111,599,528,570,674,004,121,200,748,669,080,985,681,
132,622,934,875,164,813,588,439,063,525,075,887,295,944,955,719,387,611,329,
294,589,379,775,463,525,922,816,470,963,952,279,806,801,417,697,323,080,208,
636,632,521,024,162,248,318,312,484,649,006,677,104,576,663,632,091,579,235,
345,983,485,560,295,676,663,521,001,311,948,660,377,319,105,644,018,579,239,
070,826,956,925,457,218,966,872,460,612,926,874,717,363,298,427,371,939,887,
646,955,486,995,937,403,804,726,572,436,282,561,794,307,846,147,133,233,793,
681,980,804,658,280,355,633,699,166,212,940,260,560,997,951,236,230,846,024,
188,868,599,517,834,648,594,838,441,787,406,430,864,883,474,288,181,972,752,
963,429,679,568,700,203,125,489,737,748,952,767,768,192,873,369,824,303,977,
254,161,694,603,629,325,023,391,277,831,873,088,173,763,540,800,312,729,255,
087,455,941,952,564,168,811,654,466,926,600,494,428,866,834,291,618,480,245,
549,653,192,685,865,174,016,577,639,186,272,955,919,486,446,846,014,268,515,
037,112,097,858,226,049,140,521,168,282,520,343,458,797,475,858,860,555,358,
778,284,954,227,172,199,360,728,732,154,854,735,998,460,706,237,220,875,257,
623,938,079,110,032,023,863,553,884,039,965,939,793,537,726,200,789,007,513,
103,195,845,563,183,944,532,085,901,099,735,355,524,586,154,263,690,620,718,
625,010,259,268,444,794,387,360,199,759,845,163,620,780,880,625,987,328,094,
103,432,261,052,217,170,643,792,548,475,888,442,174,609,026,979,093,627,111,
431,479,922,821,977,184,398,433,891,289,842,273,629,475,356,600,541,945,774,
589,499,091,414,196,922,247,721,383,945,224,309,889,289,351,843,686,619,992,
170,576,124,177,289,285,259,247,950,507,166,321,900,989,329,273,497,987,265,
264,304,426,841,840,839,099,368,971,438,375,078,723,232,255,603,444,939,881,
759,940,945,879,047,388,866,067,278,617,887,081,909,549,448,812,924,905,036,
634,861,334,414,441,355,231,520,032,882,752,260,778,210,541,328,742,063,513,
230,649,631,801,299,303,953,021,892,148,047,083,748,603,460,892,617,570,991,
041,124,919,864,243,396,345,527,035,445,723,943,205,665,634,716,442,050,974,
792,025,906,073,996,417,192,235,501,788,606,354,924,258,621,903,681,406,373,
442,509,912,329,759,234,683,213,468,282,692,042,511,665,213,408,621,214,834,
166,726,025,526,440,023,412,013,868,730,054,574,219,222,161,039,754,469,717,
497,380,925,501,705,275,922,070,838,984,394,597,149,564,396,436,849,084,322,
453,395,053,356,491,786,315,040,086,144,791,707,036,485,433,875,196,011,031,
368,600,680,519,409,064,238,380,069,834,690,275,495,327,725,634,828,966,659,
197,797,493,743,607,044,352,229,395,902,777,263,421,976,025,236,852,551,104,
956,463,639,785,551,929,563,112,152,098,403,075,135,645,545,174,300,970,915,
670,834,791,671,945,292,317,573,855,833,703,840,146,624,433,301,755,645,763,
414,795,064,589,196,775,665,698,148,622,598,736,692,383,882,857,124,156,069,
297,467,475,340,106,203,781,480,809,190,579,715,892,946,885,800,389,901,249,
398,452,544,606,660,953,632,513,563,666,988,722,493,508,062,439,856,538,864,
426,588,765,494,485,564,131,776,993,955,152,308,096,371,706,550,812,951,238,
979,722,082,169,079,491,360,935,728,510,740,244,719,892,496,656,311,562,246,
748,803,259,751,256,841,035,720,427,304,961,225,958,153,931,589,003,922,644,
355,467,619,907,960,205,521,739,077,837,438,223,408,517,646,767,450,731,527,
337,026,142,170,107,090,110,610,100,108,295,608,826,143,962,539,120,667,778,
235,142,664,608,278,226,053,867,510,954,862,757,165,039,242,697,755,858,121,
314,799,778,448,044,717,242,962,788,512,689,228,265,034,673,203,764,868,914,
356,568,833,210,613,968,675,345,873,067,804,144,078,230,492,118,697,504,177,
159,834,230,863,294,275,953,791,091,134,760,954,790,911,827,478,739,750,784,
456,141,460,819,737,889,763,734,340,138,956,760,908,968,615,465,796,577,833,
295,381,664,001,517,911,492,876,576,999,588,267,371,828,397,220,116,077,158,
928,144,941,786,884,606,065,502,320,768,995,313,329,847,278,169,447,028,951,
458,115,070,991,655,188,318,203,284,272,833,285,481,049,942,947,270,302,770,
820,141,754,934,596,654,363,755,186,555,965,409,986,155,737,052,332,766,605,
489,677,831,197,717,166,219,744,179,627,551,913,538,537,883,291,643,135,338,
479,859,721,628,243,893,091,283,224,250,817,034,390,584,975,722,640,908,499,
830,824,955,978,111,179,711,455,593,745,507,989,214,291,853,728,720,983,197,
701,971,166,102,070,750,522,261,412,635,364,673,079,802,390,487,660,273,734,
445,981,635,519,147,938,141,208,569,429,029,098,326,650,605,487,908,709,539,
948,680,933,594,812,414,811,132,401,653,974,178,865,899,136,184,317,370,423,
957,832,159,119,795,190,821,388,240,917,853,419,136,776,054,218,465,413,352,
662,827,600,480,876,766,269,506,022,136,303,838,019,930,280,855,974,270,649,
307,191,840,977,822,054,131,329,300,427,812,204,253,697,827,315,531,087,233,
839,623,304,196,557,462,957,410,986,326,217,549,490,073,425,859,810,311,016,
440,816,718,852,376,481,121,019,466,878,796,692,776,530,716,444,807,812,236,
670,079,680,845,817,502,808,563,077,065,929,668,845,777,469,242,530,596,424,
367,546,755,673,304,161,020,540,820,397,065,763,525,741,846,133,168,736,683,
629,237,649,119,155,496,692,182,300,650,218,916,658,323,204,270,470,205,834,
836,859,710,185,607,337,732,287,627,055,724,481,691,680,860,989,041,827,800,
625,589,810,952,250,102,963,435,276,674,577,519,691,217,010,258,115,084,902,
746,968,648,241,514,498,240,629,616,141,747,515,137,912,686,292,199,625,133,
695,141,700,970,156,817,999,036,950,446,435,552,725,134,408,979,890,586,888,
003,193,835,145,220,373,956,716,278,446,780,162,234,130,294,221,968,738,191,
372,767,455,644,549,878,465,927,982,382,425,500,445,214,727,587,144,906,149,
225,970,192,344,102,223,184,923,184,531,863,032,149,023,044,473,812,290,651,
095,099,826,435,806,051,202,032,797,651,651,050,923,169,072,925,735,132,654,
798,101,616,759,162,897,047,967,903,318,281,121,632,139,343,158,803,617,751,
941,633,573,685,199,328,793,227,482,104,786,587,191,261,904,765,672,739,888,
512,699,727,331,070,428,922,025,783,094,924,992,780,102,768,245,645,755,406,
727,647,680,208,971,820,048,170,244,722,188,875,777,414,608,315,423,032,684,
966,743,173,228,820,705,997,086,460,476,319,841,908,581,604,904,709,264,711,
689,079,330,411,196,553,311,020,631,948,330,938,815,454,219,510,540,256,983,
826,213,737,673,557,707,673,586,967,543,613,068,094,019,883,732,551,455,695,
299,337,914,511,053,189,830,799,529,432,709,940,867,553,651,767,975,259,107,
371,457,423,763,333,688,860,183,802,973,314,426,521,809,544,241,256,747,114,
413,264,032,752,252,034,558,714,225,019,136,802,587,848,977,307,557,193,119,
611,879,483,908,382,181,856,254,542,967,335,479,799,053,717,028,175,755,702,
777,804,672,563,813,110,133,752,878,447,549,123,037,291,834,347,349,745,288,
239,473,151,814,940,047,589,091,645,484,869,237,061,959,204,439,107,970,717,
272,257,179,541,309,058,746,370,387,947,557,953,456,189,720,527,283,876,534,
019,133,975,894,817,614,884,028,413,848,050,417,006,614,225,208,492,772,959,
569,496,654,003,015,355,136,076,203,500,590,686,351,474,989,143,408,716,156,
422,079,593,362,890,668,212,528,456,436,051,153,790,046,357,312,596,047,722,
664,225,739,373,973,230,740,928,092,172,430,284,965,425,770,169,113,521,531,
957,413,289,137,568,660,899,331,528,734,531,039,151,143,189,263,277,266,199,
841,723,588,873,649,158,391,326,914,325,271,971,522,390,130,106,868,212,963,
484,907,102,681,432,369,215,997,268,911,408,178,049,331,455,506,972,933,832,
386,637,060,401,791,498,163,945,036,414,035,124,417,433,236,102,171,161,878,
534,829,118,597,468,986,006,931,583,483,414,741,943,334,410,384,821,368,099,
286,274,205,864,573,947,489,841,876,171,510,767,288,244,635,463,250,372,635,
778,000,872,123,115,979,681,644,116,930,133,575,029,652,741,637,973,730,738,
301,042,236,777,247,216,351,636,808,713,057,781,585,576,959,813,452,735,847,
101,110,540,760,111,517,258,775,309,016,889,985,005,036,134,823,684,314,798,
405,428,867,418,334,742,956,518,311,697,660,997,060,027,703,281,645,883,796,
299,675,447,680,840,145,028,675,054,970,576,192,103,254,434,955,897,353,252,
745,660,202,844,953,583,514,151,660,310,931,475,813,954,372,443,020,950,568,
339,580,489,426,923,504,716,281,457,204,357,019,738,890,040,535,947,480,315,
108,842,062,189,753,219,938,356,587,777,213,827,976,897,247,821,290,431,010,
983,558,084,874,334,958,397,613,985,375,519,925,207,219,037,315,725,860,795,
277,496,560,103,344,876,679,386,821,140,478,941,994,621,533,237,463,553,240,
724,088,631,743,287,847,576,650,338,780,914,309,418,699,914,533,524,108,159,
418,041,540,769,983,530,852,266,730,768,418,136,429,314,204,143,279,647,910,
988,074,149,801,813,066,954,163,912,245,675,035,016,559,455,145,338,920,447,
034,014,726,133,538,590,024,540,163,547,609,060,313,240,656,075,944,993,631,
493,896,839,807,159,381,706,665,913,699,390,123,827,081,654,245,174,680,854,
960,325,862,758,740,739,762,049,864,339,819,889,017,731,167,412,796,191,818,
742,749,033,975,750,597,221,481,756,051,576,629,415,067,348,706,928,104,387,
575,901,130,725,550,965,354,874,060,225,747,043,564,423,368,539,010,982,817,
819,684,381,067,875,343,923,098,524,074,336,717,094,045,965,546,683,743,895,
301,047,976,986,225,286,917,864,920,834,005,561,461,953,271,573,801,212,012,
258,595,949,787,280,380,557,351,786,464,283,113,191,985,621,041,832,333,912,
597,507,026,191,854,857,292,815,152,843,572,230,336,205,161,040,969,134,325,
648,730,758,330,076,031,279,509,238,064,984,370,541,179,667,288,582,112,329,
444,680,776,798,543,299,428,433,831,219,783,211,073,602,131,029,826,556,096,
527,650,959,714,139,033,505,070,287,559,038,694,634,558,920,529,338,964,249,
566,846,823,287,061,989,957,091,170,298,222,403,243,634,644,129,294,903,950,
218,826,777,825,164,049,784,385,932,536,912,090,074,077,638,427,341,588,093,
989,640,653,126,413,625,364,870,509,754,030,035,879,536,893,042,599,479,651,
303,562,485,996,501,198,512,925,322,055,207,679,405,098,269,663,582,597,868,
345,548,959,331,942,005,970,545,735,576,109,077,093,773,256,021,297,079,551,
804,766,478,180,804,048,020,164,295,561,937,587,463,516,843,993,044,604,133,
534,806,246,318,383,861,131,234,935,935,473,931,618,135,039,746,408,771,912,
747,171,720,564,455,125,575,576,639,363,669,536,404,430,100,585,583,450,215,
753,499,452,880,923,416,836,276,616,155,456,850,690,904,361,234,534,939,185,
838,005,648,638,403,062,859,022,550,733,187,541,999,070,598,261,058,551,860,
975,225,601,562,839,701,839,012,070,750,752,805,746,903,714,091,055,840,351,
945,349,517,773,079,258,539,821,069,627,997,753,798,989,573,488,971,527,454,
850,777,285,690,119,225,884,223,505,755,724,138,960,268,597,782,791,213,516,
944,315,650,069,672,983,501,909,674,303,795,283,083,674,367,430,113,407,591,
840,095,216,628,846,369,316,177,022,439,135,819,999,689,935,023,059,935,945,
116,611,027,530,956,435,358,976,189,210,643,881,855,207,683,190,941,703,666,
706,357,910,848,622,893,713,607,626,178,680,824,806,744,191,040,884,270,830,
474,131,086,665,244,887,834,237,266,416,441,593,264,424,869,049,887,240,645,
555,693,819,270,739,916,204,934,782,075,068,021,713,934,871,968,957,404,280,
317,720,420,199,957,987,752,639,849,921,071,624,638,200,156,237,944,761,627,
471,252,095,403,071,424,362,309,434,266,754,256,572,910,005,236,530,823,627,
622,733,760,147,702,238,781,386,909,198,781,894,147,491,890,433,436,454,525,
677,937,542,088,506,707,972,303,493,884,770,116,949,348,150,247,024,475,098,
428,330,752,838,025,980,382,976,912,166,951,263,616,845,419,330,764,304,688,
943,309,522,163,627,574,869,041,756,008,128,993,799,743,875,758,171,488,391,
148,328,230,175,970,559,370,981,074,705,278,451,106,981,052,232,019,214,662,
370,157,368,553,377,130,293,379,554,364,814,515,702,075,179,882,368,232,754,
499,124,413,256,368,966,697,602,394,633,785,330,713,469,839,401,894,461,896,
675,257,314,723,573,909,452,870,735,744,793,097,301,672,803,587,456,398,268,
370,287,293,104,736,519,266,312,287,640,673,741,224,073,613,040,901,918,797,
196,876,365,276,838,057,706,826,724,937,374,245,147,775,708,081,697,670,025,
174,894,165,203,130,054,662,085,191,891,901,404,506,883,980,099,368,094,743,
715,947,372,639,691,917,500,490,851,985,140,859,457,553,393,560,691,649,180,
992,505,908,515,529,207,070,336,441,007,480,188,097,227,300,317,126,794,341,
210,005,566,173,514,801,076,400,500,174,585,512,544,066,882,706,091,884,546,
591,901,978,279,990,343,539,402,700,779,513,501,639,564,835,585,351,233,924,
514,667,355,331,589,631,267,218,516,910,564,991,152,828,022,370,077,840,207,
906,839,711,727,368,262,257,522,679,087,933,784,362,256,198,654,640,637,302,
226,168,677,534,563,861,892,013,011,766,324,239,040,243,706,289,836,298,390,
828,255,446,607,944,837,838,911,933,317,120,873,179,236,154,098,014,210,688,
559,346,951,739,891,234,236,694,381,396,023,919,984,115,342,090,993,784,781,
126,805,863,897,314,170,994,500,076,236,549,623,874,938,632,352,548,072,943,
117,966,282,035,497,576,258,868,839,172,843,397,812,121,632,582,985,683,036,
979,991,877,864,073,441,067,416,842,753,510,851,169,747,629,490,827,817,009,
466,423,882,279,685,464,958,398,627,961,731,994,185,157,461,030,642,729,620,
486,142,188,267,377,058,802,427,000,919,014,016,199,985,546,196,232,165,314,
931,077,846,927,828,800,814,011,857,848,522,478,370,708,002,832,605,036,845,
297,768,287,086,877,209,767,786,321,078,620,403,595,503,674,591,791,600,981,
360,038,075,117,289,514,940,115,536,134,159,003,518,225,710,057,818,770,071,
592,711,912,483,114,403,600,525,336,166,104,015,019,923,204,892,232,607,170,
062,870,329,559,282,631,853,061,380,749,358,222,764,766,419,601,501,115,768,
274,666,056,818,067,906,519,701,987,673,438,113,381,957,623,611,908,664,230,
167,825,011,555,033,907,827,549,970,862,282,413,923,628,824,963,928,060,267,
846,416,359,733,978,984,873,389,143,916,319,593,746,229,366,080,145,515,300,
846,626,415,970,771,734,392,808,679,060,912,330,960,642,339,049,049,634,658,
062,847,833,037,994,393,855,377,773,727,742,996,881,363,023,281,805,844,809,
743,691,117,221,158,265,840,456,208,701,176,754,516,647,441,178,131,953,480,
742,410,625,425,589,801,510,705,218,556,067,624,261,741,164,289,328,316,227,
800,212,192,282,850,307,672,289,385,093,292,337,990,428,951,325,284,252,412,
655,548,906,315,374,889,479,728,948,803,108,193,995,334,946,512,291,474,950,
632,789,912,967,187,670,779,208,081,489,454,515,555,322,365,730,594,863,894,
446,268,828,340,644,923,323,166,869,764,670,568,663,853,020,152,557,716,921,
011,869,572,544,080,334,867,614,140,179,422,297,016,204,955,692,090,882,400,
168,415,658,366,124,150,504,806,999,858,603,911,454,585,169,328,833,840,405,
407,487,976,349,040,980,189,871,566,642,723,998,868,775,476,586,369,808,026,
748,555,443,934,346,090,867,390,634,990,348,467,957,204,771,756,720,238,507,
527,902,213,268,811,557,318,522,629,262,007,679,922,613,450,696,698,079,990,
964,880,877,862,051,159,958,458,070,689,421,290,005,256,245,380,388,754,992,
650,253,190,879,860,557,552,342,499,708,782,184,358,504,269,413,548,746,173,
124,347,902,557,278,748,047,455,156,274,947,869,235,476,204,285,501,796,583,
064,475,355,480,681,812,144,222,253,181,791,958,352,316,951,372,386,597,453,
336,957,540,969,066,471,857,627,600,379,302,839,066,265,158,069,604,311,387,
491,219,790,690,267,555,293,430,894,958,164,351,288,550,080,842,643,667,874,
678,086,879,491,528,547,429,585,968,932,702,449,331,024,884,802,430,150,320,
091,332,126,099,553,067,183,479,885,372,325,110,688,037,894,054,701,297,068,
333,013,747,686,959,093,145,228,521,202,072,846,702,106,816,339,083,031,553,
958,086,621,507,540,429,525,475,587,017,023,621,214,896,473,763,003,052,355,
578,827,503,344,597,296,571,676,881,599,564,675,114,293,901,895,337,897,009,
021,914,288,308,386,412,519,382,188,377,027,928,129,773,926,067,953,560,514,
924,939,291,929,640,498,514,005,149,000,019,432,222,254,842,894,715,060,526,
702,146,255,037,954,283,972,588,208,700,227,252,358,812,742,630,458,983,737,
181,247,004,306,678,497,601,983,341,973,319,740,970,606,729,229,132,183,461,
672,761,242,646,022,874,507,785,190,769,671,223,844,187,126,943,194,203,078,
118,422,956,776,110,952,360,106,998,022,198,917,319,585,933,533,739,322,869,
159,091,675,329,705,197,800,511,034,251,612,245,638,189,145,307,731,672,728,
535,950,043,448,446,548,473,474,121,813,954,574,369,661,998,280,584,516,067,
440,416,163,576,740,429,144,328,586,199,219,787,221,297,585,454,644,833,329,
094,946,804,591,892,204,735,839,767,642,723,579,115,817,930,621,081,893,874,
885,189,268,391,162,190,702,389,966,648,323,226,308,923,130,550,523,428,343,
992,445,720,657,376,621,947,029,182,068,679,961,992,379,696,419,049,232,761,
479,607,021,476,840,716,540,204,961,006,053,834,091,441,407,170,367,108,346,
979,692,395,989,802,810,178,030,111,554,305,239,193,509,749,477,603,482,990,
211,561,851,558,318,146,769,903,095,124,275,481,070,419,591,843,763,751,224,
382,948,199,006,115,422,000,733,292,907,211,776,031,680,867,509,392,361,884,
431,774,845,709,439,721,635,049,706,148,512,750,956,740,792,103,299,158,757,
601,977,680,316,401,726,788,178,871,861,101,008,550,365,649,089,420,193,210,
614,013,649,650,102,215,214,482,948,381,977,485,171,006,017,571,942,461,834,
576,831,568,124,900,546,139,347,791,619,009,763,645,019,655,791,654,588,757,
207,043,620,391,014,638,133,791,751,010,840,450,491,534,609,515,634,887,590,
071,969,205,804,881,658,319,682,822,439,652,710,811,187,167,515,122,140,429,
679,659,283,419,885,725,754,047,989,809,754,607,577,409,344,512,754,080,724,
634,946,449,806,951,256,740,386,556,599,320,211,347,805,769,629,783,211,181,
932,768,131,170,776,578,790,848,905,258,175,955,610,156,253,959,442,588,639,
922,598,718,998,120,907,146,629,833,244,106,718,104,907,796,118,943,427,775,
120,440,890,632,814,441,214,586,941,987,232,905,699,807,510,616,807,927,048,
364,395,741,740,557,599,492,869,032,060,227,597,951,138,020,492,025,859,293,
521,213,392,669,159,256,665,367,105,592,035,186,574,289,138,764,082,790,416,
589,209,605,714,705,176,874,280,132,506,516,556,072,730,338,583,581,296,408,
790,242,733,777,746,058,174,480,061,978,106,130,477,891,476,842,045,199,608,
405,811,377,614,005,325,631,962,769,645,482,459,469,859,538,312,421,925,301,
651,312,115,866,189,340,498,914,369,423,619,497,289,497,488,937,371,128,557,
505,978,492,920,727,359,012,496,141,497,935,801,570,869,301,365,058,516,960,
855,986,941,960,831,095,731,540,928,775,137,991,122,254,289,785,127,359,633,
131,917,329,948,317,392,305,525,364,748,084,639,850,180,917,858,429,639,051,
302,546,298,344,122,950,871,469,787,788,957,376,962,306,888,074,905,044,851,
475,089,945,332,642,879,622,970,125,034,305,122,791,423,233,148,452,687,135,
292,346,180,436,902,943,265,783,217,068,666,184,712,700,330,803,761,076,246,
298,232,157,441,706,600,753,689,635,725,347,680,696,268,107,626,861,714,067,
816,551,321,913,637,848,512,197,736,008,057,552,715,926,251,335,207,263,496,
247,635,522,300,065,162,839,421,511,578,320,467,486,750,426,440,522,117,317,
676,749,856,268,678,648,762,910,823,214,628,970,420,666,625,718,986,208,767,
160,444,581,354,524,807,954,744,171,671,802,489,709,526,585,194,488,898,872,
830,749,097,222,805,595,203,322,498,811,934,413,569,800,984,102,880,924,453,
037,040,596,995,354,629,526,991,780,478,258,829,677,098,100,143,206,267,293,
980,272,131,553,746,593,971,673,651,885,549,045,567,337,271,513,892,138,738,
237,292,378,348,829,070,346,867,088,873,264,142,086,558,217,546,569,193,972,
067,821,470,508,773,951,999,244,337,849,357,731,359,300,950,746,871,810,744,
515,788,974,595,048,609,567,747,254,367,404,771,814,431,697,264,070,954,190,
149,250,974,215,965,285,219,375,997,343,817,142,150,343,440,924,186,432,756,
276,826,440,124,010,395,307,506,767,812,801,135,208,943,388,689,485,388,411,
100,758,003,712,705,656,240,385,543,919,353,564,683,029,098,097,010,741,859,
504,852,208,119,090,642,962,269,037,595,286,599,259,823,582,811,302,551,263,
517,348,580,334,656,151,499,051,598,971,513,301,045,877,570,809,748,921,537,
253,433,844,399,437,308,359,200,737,744,574,389,382,275,848,234,483,423,642,
906,887,920,638,069,874,525,704,697,200,416,588,630,679,544,996,047,902,215,
520,654,844,728,362,801,662,729,443,361,910,399,387,715,395,976,271,132,365,
062,741,924,452,609,081,481,606,599,446,408,177,398,104,821,880,334,898,460,
434,943,239,997,265,626,163,962,215,805,446,771,057,229,882,487,048,546,779,
095,006,503,885,280,453,680,520,384,987,408,767,888,819,448,420,883,735,445,
877,841,236,155,740,901,840,818,951,211,343,292,889,442,109,305,105,541,199,
431,915,193,676,055,258,520,906,083,790,354,774,130,126,613,915,343,367,280,
668,425,975,334,009,193,589,922,565,267,731,487,020,941,399,864,465,120,484,
522,464,906,276,653,326,301,676,021,882,102,147,127,493,604,337,230,608,064,
779,705,791,779,094,221,564,882,135,236,374,386,049,348,059,196,565,363,330,
535,808,052,139,935,775,488,281,371,289,859,457,607,811,922,162,394,118,722,
039,076,050,798,475,043,038,280,810,217,886,666,985,281,045,780,449,912,034,
631,211,816,821,486,812,763,058,371,669,392,507,765,788,248,722,137,080,786,
776,908,858,051,461,781,003,425,801,144,667,709,146,168,945,696,908,333,903,
095,683,349,059,649,736,491,620,841,723,296,759,292,138,836,190,727,386,650,
439,568,666,412,691,009,082,176,854,437,869,503,749,574,246,564,835,951,270,
004,012,452,367,253,630,625,885,911,073,950,992,181,550,997,140,596,786,099,
404,087,874,740,793,415,596,344,594,061,946,557,971,149,100,810,368,660,202,
837,516,683,445,237,851,407,500,610,886,085,071,221,403,987,281,223,515,561,
638,700,283,396,706,679,398,194,860,580,401,609,785,251,150,688,147,841,833,
494,182,596,685,595,916,760,499,952,556,413,969,348,928,034,682,846,066,080,
304,635,226,846,748,478,114,910,270,154,546,929,042,187,134,725,543,267,878,
131,189,412,165,376,787,110,440,484,228,795,775,773,711,975,965,969,768,628,
951,846,319,860,863,509,421,099,443,046,228,272,918,920,173,367,267,287,111,
041,575,291,165,477,520,654,596,634,421,239,386,365,164,871,287,268,767,176,
773,581,555,317,210,111,210,807,760,328,278,490,208,577,184,977,857,537,879,
089,038,906,728,190,600,641,266,960,884,881,575,190,615,470,508,753,031,909,
877,322,808,722,883,466,132,372,691,309,206,199,834,659,618,860,056,508,852,
263,224,147,082,681,990,488,430,661,152,016,899,289,103,825,935,113,965,085,
349,142,439,396,657,616,980,890,263,644,232,197,539,365,502,416,208,865,191,
298,689,265,954,990,370,370,400,912,346,972,006,535,777,744,085,536,734,610,
700,630,156,587,170,937,831,283,448,841,633,640,111,640,613,004,173,233,454,
187,709,251,431,334,167,077,470,702,234,067,245,407,255,330,010,627,801,247,
462,176,526,496,526,808,097,099,508,188,580,657,267,058,315,462,830,155,177,
236,653,541,526,331,308,517,255,034,885,507,320,925,416,828,929,671,399,128,
856,023,133,884,542,232,559,133,926,392,769,319,526,576,878,785,441,911,091,
662,969,460,473,290,796,264,110,122,232,418,799,917,486,870,889,089,540,657,
803,013,240,838,450,463,981,110,674,112,016,353,731,455,395,068,895,950,745,
739,154,448,256,462,283,878,589,420,731,591,413,196,217,698,310,207,998,341,
292,448,364,068,886,075,615,934,878,524,584,998,282,905,355,566,968,642,233,
952,262,211,712,138,229,306,621,425,644,796,361,856,875,249,165,002,587,163,
637,308,426,650,760,151,779,885,090,296,040,896,994,497,482,888,381,243,664,
891,412,256,346,664,391,330,233,838,189,930,927,504,068,924,016,319,858,381,
211,051,494,803,662,480,544,656,937,166,450,784,708,068,616,659,753,169,072,
976,922,714,399,529,980,780,765,149,752,874,838,675,607,369,430,861,546,881,
722,711,270,006,939,927,667,578,441,729,484,138,039,866,766,549,932,890,947,
014,413,262,466,650,050,018,357,730,094,169,143,459,179,369,264,169,715,628,
886,085,193,641,918,353,677,261,868,225,714,896,439,504,950,978,062,839,869,
527,416,372,958,133,831,451,840,561,059,165,148,243,958,287,232,731,971,787,
455,606,160,679,050,905,447,556,482,826,019,226,135,107,389,649,103,950,757,
380,305,149,221,958,834,816,632,643,494,532,314,305,679,846,167,354,935,039,
238,164,904,342,000,377,831,685,399,085,193,713,269,864,054,478,317,127,641,
154,993,212,694,426,106,630,389,703,047,063,697,339,268,178,992,779,616,508,
780,647,106,821,722,874,670,610,173,920,183,714,724,363,832,296,915,475,472,
070,196,124,716,127,046,023,981,398,582,643,599,250,568,532,804,221,992,830,
865,696,225,301,498,012,185,656,187,744,071,736,223,831,332,689,203,347,414,
455,375,893,807,841,121,520,392,913,125,020,953,928,209,601,820,407,644,629,
388,924,994,524,452,581,698,177,389,239,805,594,490,626,586,379,773,421,330,
514,392,021,911,645,097,952,255,202,816,504,287,798,880,805,168,698,941,224,
259,067,303,919,185,858,319,384,631,270,037,653,835,831,763,339,595,846,706,
690,199,901,475,398,237,730,701,008,332,559,660,210,147,201,040,528,039,590,
219,004,697,569,298,851,735,356,154,563,652,062,077,108,753,010,246,278,667,
232,868,685,492,992,450,349,603,434,168,615,729,659,246,264,695,885,941,148,
856,562,694,571,485,141,286,907,610,719,122,964,297,631,472,694,962,840,491,
928,123,124,774,529,232,836,684,760,014,644,012,417,338,109,950,076,161,751,
700,548,003,823,322,409,149,251,166,049,260,400,522,291,666,842,691,214,408,
315,560,377,723,631,851,904,841,920,974,855,216,043,662,192,808,490,180,625,
825,220,919,114,669,501,594,594,322,184,002,892,255,363,480,305,582,758,833,
167,405,888,233,316,349,153,960,938,655,673,775,727,870,260,350,270,830,499,
273,795,673,428,721,427,354,159,136,393,973,310,872,809,107,607,522,639,714,
877,779,727,150,301,575,013,177,199,027,254,469,987,002,358,008,568,618,084,
430,566,618,162,355,473,673,306,869,101,415,010,926,952,217,760,136,775,729,
139,406,187,212,877,983,615,644,600,184,185,000,004,207,617,893,164,933,365,
035,796,508,007,812,576,297,651,350,220,255,070,525,867,952,384,620,554,912,
196,986,499,788,311,960,843,345,014,770,025,148,851,940,291,144,031,806,404,
843,757,775,182,408,374,057,157,818,121,633,814,982,706,655,504,951,070,636,
212,632,851,390,131,992,837,580,367,950,230,884,337,192,093,939,751,747,697,
184,632,388,381,534,223,787,625,777,813,856,520,301,055,967,275,114,163,993,
570,978,073,171,477,508,667,157,599,893,295,707,480,138,632,964,121,775,267,
785,480,291,865,510,103,864,991,110,387,754,294,224,874,779,817,095,932,696,
172,459,675,737,903,975,049,299,081,750,684,574,593,459,723,966,064,375,858,
226,209,427,027,546,675,677,798,286,265,518,905,588,161,443,666,211,509,845,
713,594,682,033,328,121,261,256,032,625,456,060,436,107,343,144,865,913,926,
089,125,953,754,707,505,038,270,172,561,059,869,580,833,990,959,597,673,874,
596,192,985,762,853,389,126,568,065,465,106,378,189,360,132,640,347,010,704,
766,986,581,307,629,180,713,398,701,116,515,606,692,232,103,428,063,545,465,
189,067,136,913,856,692,667,887,352,586,163,646,465,147,707,235,651,487,597,
903,233,462,857,381,681,797,492,496,759,574,150,980,022,382,041,339,399,558,
234,426,588,520,881,099,275,869,348,979,229,645,973,199,008,997,318,502,813,
198,593,544,318,545,728,469,672,750,180,576,303,452,335,456,082,665,926,705,
391,537,819,065,611,064,565,434,030,996,287,750,292,166,653,870,741,412,377,
504,990,193,050,517,169,612,390,223,566,675,948,651,924,915,342,853,281,145,
595,465,267,271,214,868,130,108,246,129,399,425,429,939,333,883,786,146,080,
355,092,812,188,648,650,487,263,939,235,344,997,792,106,569,684,337,630,713,
873,742,730,981,541,425,281,382,856,258,749,766,699,725,099,065,543,347,778,
995,817,742,125,639,945,275,112,374,552,615,523,188,307,292,013,008,385,188,
123,405,557,776,295,066,588,947,715,071,189,174,632,351,748,120,701,099,585,
470,185,460,836,771,419,276,703,430,595,086,832,700,991,850,155,379,775,767,
057,122,854,921,312,628,971,683,724,609,417,080,070,135,457,834,422,564,160,
075,984,885,599,792,467,038,417,328,022,549,556,568,410,410,819,817,705,025,
377,977,345,886,528,401,544,128,454,465,598,130,718,151,382,432,428,376,439,
836,291,724,406,189,677,112,673,686,491,823,766,189,563,008,271,915,639,605,
017,143,258,807,550,418,621,958,736,399,177,143,849,689,345,723,649,916,202,
728,879,088,787,659,832,696,543,486,934,260,910,907,254,968,918,686,008,867,
750,159,770,091,050,948,164,683,053,970,816,627,057,808,371,129,901,222,143,
269,744,503,788,917,495,310,955,905,557,120,038,329,251,062,853,116,734,669,
708,795,421,371,354,878,505,599,114,961,890,775,619,794,638,001,600,418,396,
897,848,237,887,581,618,741,137,668,617,302,892,804,601,753,274,965,458,770,
693,316,179,613,278,825,347,917,606,644,438,705,613,059,484,811,748,676,091,
610,552,328,954,687,409,975,638,722,440,333,859,177,246,180,581,248,566,364,
310,924,610,337,695,907,724,690,731,224,123,814,372,648,823,229,193,700,209,
347,784,554,323,458,645,792,273,149,842,384,615,819,892,255,977,833,839,435,
754,617,981,304,318,858,803,343,351,274,001,392,892,308,848,249,976,135,411,
219,345,361,073,250,752,882,021,431,758,452,256,331,828,313,675,973,563,965,
845,443,273,948,259,568,082,013,125,958,303,099,770,191,888,860,925,257,819,
615,952,240,516,589,124,435,145,865,386,394,162,113,373,656,038,022,966,785,
929,693,330,746,309,003,314,221,777,368,361,716,467,355,135,160,945,828,515,
164,323,968,583,238,785,212,983,953,727,126,654,985,959,170,518,641,035,555,
910,959,984,222,274,916,296,646,173,124,607,726,044,524,427,499,132,692,106,
625,994,108,075,666,330,814,816,607,991,195,984,123,725,306,157,953,053,414,
311,471,102,473,486,655,805,436,448,839,943,027,576,098,365,127,364,466,206,
567,199,732,092,243,182,294,112,678,324,720,488,609,782,779,983,456,175,788,
877,018,840,339,608,785,614,789,807,002,603,128,159,607,372,810,495,897,725,
504,960,099,147,125,289,637,533,476,979,398,223,078,638,137,671,325,295,809,
270,638,429,790,033,684,000,517,881,771,369,841,361,770,435,453,350,930,487,
593,810,340,465,194,200,043,065,059,936,162,878,218,067,241,090,989,127,407,
133,061,788,051,549,148,216,346,889,211,643,502,968,124,475,843,947,240,652,
968,247,314,461,081,006,803,003,163,526,865,468,706,728,530,840,732,273,293,
395,671,519,196,400,607,938,469,652,051,568,822,556,986,165,390,640,042,102,
873,111,176,383,385,574,999,255,108,710,695,052,755,528,920,512,509,115,962,
753,165,559,850,226,820,171,556,612,333,536,749,434,867,444,476,113,450,797,
336,708,235,185,653,248,349,270,708,632,599,317,038,566,638,612,514,870,218,
562,036,940,037,650,681,973,365,304,106,669,079,141,977,538,029,665,136,906,
971,806,259,861,992,415,412,380,430,629,593,537,528,043,439,630,072,756,113,
573,771,273,621,849,113,714,899,108,398,940,089,993,871,478,410,023,844,395,
947,219,737,768,283,643,190,109,548,130,729,372,047,609,620,705,694,019,901,
616,569,293,693,556,116,615,831,283,386,570,671,550,434,326,477,868,722,452,
006,841,659,406,320,296,197,943,289,049,744,481,417,388,065,802,295,751,342,
450,720,999,662,323,485,694,531,200,018,509,213,816,407,272,959,233,244,384,
823,478,125,147,159,753,362,153,639,446,777,065,778,414,535,729,828,670,526,
624,242,560,280,106,461,629,027,132,052,088,103,740,817,937,402,003,579,763,
537,679,300,883,865,834,947,786,710,081,406,590,100,239,146,225,968,514,613,
932,890,288,486,635,281,965,337,851,148,432,257,802,787,649,409,056,312,379,
480,762,876,515,638,725,342,752,509,155,430,784,688,473,560,759,972,600,295,
758,259,017,074,603,355,382,615,473,628,761,134,673,440,757,883,882,990,644,
138,338,346,280,500,101,035,166,183,766,492,564,669,542,563,099,704,678,298,
718,332,706,891,674,110,132,715,337,898,804,404,034,910,545,158,608,134,494,
287,361,131,990,158,513,783,239,245,347,551,098,799,587,129,225,755,166,652,
714,118,479,663,942,744,346,647,073,830,892,050,324,018,933,677,003,234,692,
226,376,911,921,252,524,503,978,360,084,898,938,563,220,112,849,156,821,352,
903,719,320,059,824,370,757,748,421,297,562,046,895,866,524,597,448,588,650,
310,287,431,774,262,903,755,811,055,410,902,672,155,382,746,719,621,124,872,
349,956,333,270,783,215,214,227,516,372,965,658,284,185,552,386,712,070,790,
544,023,515,874,908,529,990,007,336,776,306,780,570,757,074,307,137,654,576,
355,044,718,842,225,687,433,875,744,485,637,153,998,430,315,422,658,795,093,
198,906,302,995,222,164,071,712,881,401,951,844,158,411,083,107,573,931,434,
258,895,043,479,236,359,719,206,553,636,408,104,780,464,718,834,802,884,821,
901,990,411,904,574,160,242,116,129,881,253,424,285,608,552,460,044,644,108,
913,681,525,659,033,376,202,766,189,591,853,476,778,481,229,814,677,132,477,
503,380,676,763,095,820,302,104,164,611,183,048,117,402,768,536,146,254,379,
210,039,802,611,714,328,993,535,880,417,182,654,093,815,636,572,968,095,600,
753,340,949,345,980,053,035,905,762,823,760,815,172,563,998,473,710,372,312,
064,318,494,892,408,393,749,035,545,638,769,336,190,159,277,389,808,639,090,
717,325,607,432,296,846,411,593,937,976,347,217,395,838,493,117,822,424,671,
197,015,907,611,185,868,845,877,326,579,869,929,227,776,668,275,895,974,602,
210,642,323,398,362,529,780,197,383,440,796,401,049,621,234,970,945,570,196,
129,779,342,763,907,260,583,166,626,762,556,895,122,788,515,824,556,130,103,
563,275,714,480,099,546,802,130,106,047,915,204,210,749,290,060,569,583,666,
729,932,853,593,536,700,497,373,938,110,779,827,904,204,237,019,740,795,369,
667,785,721,536,081,267,750,473,108,673,656,156,555,891,187,423,100,217,243,
084,808,669,286,826,521,254,460,464,759,824,784,060,234,891,619,085,352,801,
473,451,519,398,288,542,908,611,931,856,150,798,883,541,427,118,439,466,373,
078,375,919,963,649,878,407,453,820,801,159,396,906,766,051,306,872,709,171,
675,006,654,477,914,491,465,574,572,210,448,300,640,829,621,282,980,993,699,
040,797,722,054,360,594,319,904,553,487,522,450,872,938,585,760,382,866,216,
892,911,555,380,043,869,723,456,655,807,742,844,599,557,151,525,867,480,582,
258,646,852,119,134,634,841,805,706,847,948,974,475,438,186,454,821,693,338,
345,010,962,715,604,349,534,431,418,450,199,286,867,158,853,631,779,755,273,
567,862,879,825,823,052,380,967,480,430,532,810,382,955,321,447,471,703,112,
670,150,982,155,007,503,059,988,292,048,261,103,732,209,100,207,378,647,289,
052,016,900,201,318,786,820,898,562,786,034,631,337,174,347,839,154,330,350,
090,707,224,869,158,110,487,022,564,674,263,628,095,703,667,353,601,609,080,
375,149,881,450,484,023,624,350,014,907,816,965,873,646,808,537,580,157,444,
321,934,948,456,404,319,725,156,286,164,656,830,561,864,848,356,366,306,203,
935,881,050,341,560,496,345,478,581,865,908,345,329,537,634,156,758,373,325,
239,875,896,760,679,876,276,442,081,361,734,951,124,896,003,626,426,571,293,
398,465,381,844,897,746,008,929,003,879,696,323,657,084,348,794,497,157,286,
504,140,097,936,443,168,628,524,474,566,073,454,823,735,146,263,535,873,072,
046,031,666,377,670,788,548,637,128,466,923,375,442,176,622,711,489,235,859,
815,680,269,070,005,534,126,979,683,129,874,121,291,595,257,076,400,323,404,
773,545,245,581,164,073,545,444,948,118,857,260,559,472,861,562,790,123,155,
801,608,170,273,160,220,879,693,816,897,901,205,058,761,330,822,219,627,197,
315,901,158,735,645,552,418,573,442,682,446,409,930,673,887,063,614,656,944,
496,398,991,311,125,736,314,033,011,593,230,640,822,055,622,602,967,646,983,
196,545,990,376,173,362,383,075,849,599,732,531,687,755,903,702,864,957,627,
606,035,560,921,511,422,103,356,652,089,242,139,583,030,224,625,273,973,629,
067,644,382,161,973,205,817,911,063,886,961,318,027,425,553,361,759,017,033,
626,620,200,375,491,877,298,740,060,969,830,755,447,305,778,565,208,828,780,
091,394,683,555,467,495,677,613,038,617,001,377,450,599,783,950,906,833,107,
076,687,904,877,854,685,185,589,063,120,997,129,478,020,103,349,007,418,076,
441,050,287,930,696,586,593,066,401,302,441,323,376,227,585,448,339,885,392,
935,277,385,336,107,644,489,439,458,511,398,753,559,235,958,420,394,718,941,
495,308,523,047,315,679,730,843,528,363,721,258,521,329,036,011,852,736,809,
856,303,507,944,542,144,148,174,022,687,448,948,616,898,158,268,401,822,505,
676,350,484,988,816,414,483,658,766,726,152,788,551,054,407,421,386,195,495,
568,063,643,788,044,903,095,804,146,050,834,074,927,428,409,812,578,946,034,
986,491,220,843,814,819,282,269,989,404,571,915,310,391,885,721,079,377,244,
360,838,445,282,000,965,360,314,353,479,429,840,184,192,916,544,214,550,849,
814,666,708,946,354,644,879,971,563,997,416,822,095,244,792,257,599,827,017,
808,279,483,638,645,615,545,243,160,277,295,584,696,893,312,038,539,526,478,
358,278,249,450,794,182,593,660,820,653,128,723,523,180,135,209,895,581,959,
534,489,326,979,632,697,869,313,363,236,968,706,442,340,542,371,406,038,586,
951,335,063,418,685,183,070,988,455,148,793,146,356,995,922,753,072,018,686,
687,650,454,743,633,992,867,346,940,898,876,887,626,083,449,234,262,562,511,
014,527,748,079,431,512,725,246,888,100,845,714,402,465,711,716,289,494,218,
778,314,556,223,488,588,548,757,183,290,668,557,705,865,571,965,034,439,341,
201,667,393,418,568,529,946,220,606,859,254,794,241,143,947,542,518,379,665,
918,793,714,789,401,154,172,593,112,834,235,708,194,993,648,203,637,872,884,
407,784,126,311,387,213,617,852,305,451,837,664,447,119,604,423,135,041,068,
981,514,001,432,781,508,100,945,438,460,654,919,808,132,095,760,917,676,466,
455,708,678,100,247,885,647,398,830,255,073,748,264,269,927,218,570,175,380,
907,982,692,586,754,902,086,987,510,655,588,292,244,337,156,963,905,861,262,
269,988,135,731,727,729,110,108,987,786,077,423,140,643,550,968,966,591,669,
123,664,033,507,796,537,183,826,113,075,737,868,569,277,500,839,644,294,071,
443,115,998,574,332,854,706,862,708,706,067,298,131,812,379,699,674,867,256,
529,576,787,379,290,728,034,522,059,228,727,503,874,931,967,036,846,673,485,
117,812,473,171,347,884,519,257,186,301,004,532,867,503,144,563,014,449,955,
150,379,691,477,584,803,547,038,604,182,511,505,532,278,669,655,954,729,571,
634,762,942,181,998,052,187,516,771,989,533,655,763,165,333,660,336,152,958,
680,326,409,313,446,154,903,359,490,159,102,087,436,961,217,222,373,062,684,
725,182,899,307,449,655,149,760,247,929,256,254,196,185,246,972,756,235,153,
424,002,630,251,723,329,535,947,524,651,622,095,013,029,042,268,614,366,995,
822,101,456,500,640,655,475,922,285,779,626,862,666,940,532,205,390,357,668,
387,201,736,497,079,096,693,504,823,025,856,284,427,447,869,084,583,366,236,
436,058,355,156,906,630,222,055,699,385,070,076,640,177,315,957,953,990,234,
065,315,270,164,246,525,250,902,075,095,637,773,509,344,795,703,457,229,042,
134,897,190,916,551,065,824,187,143,883,531,747,589,579,517,987,644,830,924,
520,354,801,099,581,370,136,769,043,427,237,679,871,659,909,330,394,035,955,
798,026,325,082,627,066,233,083,347,689,286,258,514,000,692,768,418,511,881,
701,930,199,420,047,279,808,060,893,939,132,531,225,569,649,477,102,783,815,
196,863,452,102,432,753,677,451,890,931,974,635,594,893,684,610,216,060,928,
250,376,792,640,100,243,630,540,005,325,088,280,757,094,026,154,074,739,751,
841,422,241,415,777,150,077,838,433,983,807,977,648,239,731,708,357,024,422,
633,613,918,829,412,124,835,424,221,470,185,177,248,267,965,437,238,557,419,
633,533,679,876,510,003,014,502,443,010,209,187,048,024,710,889,114,687,100,
005,206,965,885,086,849,541,258,789,041,706,925,161,555,397,137,499,613,215,
401,642,318,961,674,237,854,921,893,826,380,997,680,777,348,321,431,341,605,
711,005,100,027,055,525,731,347,975,439,723,696,937,406,578,943,028,669,771,
520,442,696,720,499,349,601,781,089,354,959,690,411,048,483,219,003,703,823,
211,212,121,333,723,323,662,721,476,705,594,155,191,611,182,902,482,312,767,
111,827,213,848,043,853,468,837,319,228,188,397,485,726,588,583,826,997,627,
914,986,944,944,912,968,588,511,579,449,748,601,700,941,050,229,129,405,141,
160,449,690,829,753,776,348,469,030,830,266,285,873,656,385,104,531,846,469,
711,465,985,630,057,646,253,148,619,167,949,789,202,071,549,703,827,024,550,
747,044,443,364,613,531,184,892,723,393,345,191,597,341,640,817,057,552,571,
315,005,659,088,052,166,031,850,914,445,919,326,931,432,347,790,360,021,667,
191,529,704,881,579,950,935,397,614,783,740,536,582,333,041,067,587,588,567,
121,037,643,679,549,015,968,285,712,403,309,629,588,960,152,295,541,476,195,
327,950,290,973,453,677,472,925,136,679,003,371,815,880,674,933,789,910,414,
106,735,169,019,095,955,548,734,664,969,520,272,717,642,609,150,277,769,536,
586,455,527,086,701,639,959,446,430,248,835,940,511,820,198,780,852,105,339,
220,488,419,843,527,110,572,391,157,220,837,993,124,371,834,306,665,831,195,
552,135,041,656,262,812,250,648,200,878,049,030,316,533,871,304,287,254,975,
968,719,906,697,203,359,101,317,776,821,265,297,797,378,961,174,843,911,936,
981,583,585,377,131,763,218,321,804,322,519,700,550,739,206,666,724,754,896,
506,617,637,958,107,763,686,109,934,241,368,574,241,784,798,128,295,308,614,
440,010,382,273,533,594,326,720,448,487,109,633,345,672,425,188,991,912,412,
006,605,385,612,910,022,203,185,716,845,451,243,095,847,409,363,877,495,542,
662,657,551,782,743,478,342,633,597,928,889,674,370,680,774,668,512,946,035,
659,828,089,520,097,251,641,464,013,516,766,920,813,668,678,611,462,436,147,
654,547,065,630,688,986,017,011,781,750,724,506,288,950,457,284,032,067,231,
583,058,744,551,413,426,699,218,642,761,815,665,047,932,333,415,193,951,703,
420,322,444,816,248,173,466,761,875,632,647,226,195,642,699,315,692,886,611,
822,409,566,216,844,467,397,525,098,837,270,185,621,784,362,549,494,763,909,
784,378,339,475,601,771,205,449,569,861,964,929,045,299,015,236,664,943,208,
522,503,450,542,575,031,046,907,646,634,858,181,269,388,981,823,520,938,919,
092,429,843,504,543,942,607,109,580,449,593,016,817,892,629,551,562,266,414,
930,969,502,307,612,652,552,695,314,586,722,525,630,147,830,399,843,351,730,
252,976,007,665,167,746,686,627,945,634,340,512,341,039,122,588,463,164,797,
760,016,823,915,479,398,146,084,513,791,593,785,490,418,214,819,260,858,131,
873,950,068,593,442,455,096,710,603,769,788,007,753,447,779,450,358,630,219,
943,992,375,900,648,664,898,542,056,335,983,052,270,666,932,057,604,650,089,
072,347,394,127,518,733,993,579,640,886,872,136,754,494,045,827,529,154,751,
124,801,958,438,449,809,598,738,445,467,005,352,782,541,547,471,624,244,390,
741,119,899,566,011,129,642,471,921,221,059,100,681,583,493,048,591,439,751,
929,180,555,490,005,041,486,332,873,407,808,705,742,195,219,323,740,182,001,
171,589,735,174,328,410,506,292,594,659,169,621,923,502,314,181,872,944,396,
062,568,789,737,744,315,651,760,055,444,781,089,614,924,994,480,789,329,489,
147,733,299,037,887,814,052,488,391,502,205,264,595,278,095,327,616,695,689,
864,692,656,349,002,332,541,587,191,262,574,739,591,914,677,180,054,452,634,
750,719,144,794,578,316,026,091,355,314,087,634,156,679,513,553,546,181,325,
127,223,986,721,227,548,096,221,590,975,665,567,286,320,714,141,663,444,321,
852,770,337,406,187,172,700,531,290,929,337,649,957,734,873,414,280,162,553,
203,682,141,924,606,065,841,823,300,688,875,179,867,744,964,569,145,206,991,
645,328,185,561,801,425,457,183,101,355,769,140,370,171,951,580,566,768,964,
187,815,055,661,876,002,017,281,170,089,651,513,297,815,919,850,306,080,550,
297,671,981,009,303,001,975,874,134,838,616,831,259,632,569,245,505,552,204,
388,559,095,091,176,850,621,482,882,258,541,199,600,665,827,248,656,938,246,
525,087,889,691,646,873,196,269,431,482,209,372,685,597,378,705,686,319,680,
639,119,000,974,580,332,646,908,431,104,793,836,942,538,570,699,992,705,611,
315,478,707,963,822,262,563,640,513,650,751,945,662,297,127,514,249,782,874,
321,601,157,869,977,074,958,680,334,137,830,078,076,551,028,590,130,673,619,
594,129,630,191,103,147,117,922,457,643,551,701,116,053,572,179,242,998,268,
066,759,903,620,138,065,468,275,579,103,139,771,527,721,239,822,560,685,690,
841,276,572,393,683,471,874,235,395,205,960,055,110,349,732,607,419,137,946,
550,116,191,336,102,584,047,642,726,752,699,670,501,034,396,403,126,189,234,
060,066,563,084,773,342,292,241,136,759,418,031,631,725,477,628,906,538,934,
121,103,327,903,310,937,222,407,416,065,627,381,972,541,882,941,831,206,461,
848,841,442,060,075,520,060,263,198,442,522,818,876,471,814,993,416,822,171,
746,909,722,138,110,786,490,430,744,763,972,025,527,266,377,034,680,798,220,
598,363,867,970,695,313,925,993,741,122,217,184,832,638,844,934,782,332,383,
201,543,576,986,349,939,618,571,533,820,308,216,579,832,846,299,350,462,464,
335,372,169,819,659,966,205,730,748,628,617,455,519,671,863,670,416,105,524,
781,389,060,007,103,438,341,370,713,411,799,826,857,345,978,605,426,143,762,
659,351,588,111,078,761,640,102,517,618,868,659,355,521,349,468,420,390,554,
072,286,176,693,208,374,641,823,343,819,832,256,809,946,529,068,856,776,322,
901,194,607,998,563,908,609,677,567,635,366,479,148,048,178,578,173,480,264,
576,547,189,492,579,035,760,325,982,519,913,504,850,663,856,646,672,964,035,
529,322,517,601,227,459,631,953,656,709,733,149,294,717,600,302,686,492,369,
396,637,005,123,437,834,682,492,535,519,776,399,420,409,357,086,503,395,702,
066,949,345,469,001,730,318,778,235,999,210,268,830,385,227,988,894,897,604,
537,427,105,524,510,573,635,439,895,526,240,814,878,968,465,480,823,448,885,
403,998,086,608,099,612,221,810,557,221,763,135,248,872,779,758,793,571,181,
782,089,165,022,805,808,711,927,689,952,802,437,344,497,579,111,126,137,684,
630,179,370,042,004,355,316,734,794,000,807,385,233,992,196,658,826,773,037,
352,715,383,807,760,282,860,066,549,973,003,623,777,138,483,127,735,054,985,
645,785,897,868,507,866,706,207,231,929,312,821,966,947,433,797,677,799,343,
260,728,174,703,435,248,692,635,699,708,764,660,450,006,007,215,201,277,365,
714,905,504,212,822,889,184,841,271,148,172,189,801,745,935,810,399,119,529,
454,808,008,541,499,291,215,235,387,689,721,274,307,008,361,150,802,834,669,
087,945,557,960,482,930,699,534,625,284,363,908,153,685,964,763,518,033,676,
989,462,896,075,592,381,039,182,002,005,384,695,916,196,440,001,468,410,902,
535,810,214,301,454,384,674,813,200,754,222,354,430,994,703,464,779,716,978,
779,595,858,951,485,588,743,505,616,666,979,153,403,264,419,285,653,698,555,
175,441,214,283,335,108,849,796,059,919,551,256,598,667,548,460,028,096,227,
012,611,650,371,828,215,057,131,621,208,864,630,840,065,730,609,995,404,273,
109,123,510,077,136,830,433,006,325,436,845,256,327,655,318,195,575,559,054,
273,604,087,628,563,534,476,959,239,524,237,763,562,109,103,144,676,707,852,
390,574,411,570,183,278,189,246,451,409,845,033,701,328,344,144,335,777,346,
704,783,665,275,036,244,561,875,264,482,058,538,403,198,151,067,809,612,634,
006,025,155,889,680,818,618,932,366,939,931,874,318,528,797,655,278,934,944,
370,255,730,444,864,992,855,564,991,732,852,692,081,762,627,872,216,380,069,
060,860,552,570,663,542,908,754,199,515,805,358,387,262,903,070,202,203,436,
479,100,931,278,649,534,957,314,726,554,700,303,957,888,566,475,035,793,062,
855,416,501,798,937,069,299,385,465,347,609,929,302,779,442,147,363,352,240,
435,296,855,630,125,003,811,838,912,915,880,501,053,658,352,910,779,529,668,
747,181,076,510,691,277,638,419,891,355,455,966,559,602,331,877,509,794,913,
541,515,792,048,534,535,253,358,792,280,239,378,097,377,511,391,742,792,712,
460,194,214,549,817,449,137,426,092,340,561,923,598,533,428,524,756,409,449,
812,750,859,149,651,596,951,335,088,942,082,243,943,774,172,091,694,323,982,
063,604,335,387,874,479,317,789,156,355,276,920,798,318,480,880,587,291,947,
843,513,428,896,461,591,166,366,660,700,482,184,537,277,556,447,043,433,397,
516,300,464,386,591,790,203,681,711,377,273,504,169,714,792,337,425,339,129,
523,523,167,206,977,996,727,963,724,310,856,033,569,988,519,310,811,674,248,
638,245,295,665,081,718,885,324,937,487,703,368,583,395,993,646,420,819,494,
314,184,015,573,399,770,574,196,964,884,292,507,977,430,171,022,637,107,822,
296,406,613,549,704,707,908,227,900,507,236,943,416,765,966,586,671,979,059,
573,670,850,256,111,954,658,682,716,803,587,498,116,840,452,194,100,209,516,
874,613,175,226,598,158,934,805,836,409,468,752,801,050,542,686,526,931,256,
903,398,428,305,781,796,839,832,260,001,755,632,690,937,128,021,591,968,780,
409,273,269,538,740,012,923,173,725,835,087,827,714,821,492,264,770,073,903,
337,431,420,877,748,638,404,240,696,347,274,669,782,701,462,393,323,457,436,
909,881,752,986,570,753,918,536,993,200,783,351,076,467,607,579,183,026,381,
609,090,173,253,804,591,336,900,112,262,937,175,588,988,073,732,198,516,432,
692,430,652,319,902,592,300,389,656,730,580,864,643,283,246,578,173,728,201,
370,839,166,103,401,021,579,815,753,668,229,370,991,107,501,617,095,114,490,
918,086,244,442,680,355,947,011,744,436,009,051,375,880,045,283,274,140,241,
058,524,605,607,704,270,173,007,049,344,365,077,012,921,211,077,151,361,311,
368,672,259,454,183,837,180,697,310,410,954,386,589,432,299,529,992,666,479,
966,738,963,968,916,175,138,584,983,378,755,668,892,679,159,690,621,028,451,
294,380,762,426,394,867,495,511,623,887,562,648,412,413,570,499,581,718,046,
679,607,238,471,214,919,500,472,898,646,444,945,279,963,937,436,386,595,000,
784,861,926,365,290,687,307,895,734,765,611,176,217,666,933,132,358,530,394,
950,604,598,343,837,731,756,980,252,572,463,440,498,023,728,059,464,063,426,
439,850,124,092,777,270,938,138,363,035,905,488,022,164,610,834,125,433,881,
701,670,115,124,372,828,509,027,630,496,002,232,999,535,080,295,582,847,198,
714,811,501,558,772,202,754,362,668,467,394,440,580,730,811,837,468,198,455,
352,975,768,089,777,841,961,680,603,202,428,793,541,712,725,622,731,255,866,
834,330,461,539,283,209,451,578,537,603,631,842,290,569,764,823,420,135,305,
999,934,538,814,634,805,645,389,402,717,944,530,342,909,648,135,910,971,941,
030,167,577,592,457,159,325,125,852,617,221,685,055,396,744,507,697,327,579,
670,804,117,686,065,632,622,942,793,650,827,956,956,940,951,080,036,689,963,
438,532,160,960,420,692,282,103,617,998,640,935,742,661,307,132,932,359,225,
878,301,106,899,248,806,481,315,705,848,034,836,385,752,352,321,905,594,725,
688,872,551,760,476,161,845,676,844,266,330,287,286,926,743,485,057,497,189,
970,318,781,533,263,528,232,744,793,220,857,941,165,507,572,881,763,009,991,
943,528,482,689,968,231,252,939,799,799,789,950,659,151,321,468,497,179,668,
993,419,149,831,863,441,254,080,911,810,818,647,016,913,975,501,718,364,662,
383,654,357,603,852,642,897,508,197,841,709,332,290,774,437,628,684,126,934,
219,966,049,077,065,325,217,338,845,471,673,219,544,422,098,846,279,412,765,
142,615,978,086,466,579,353,552,703,281,452,425,962,359,517,736,988,769,617,
862,420,345,108,540,208,735,907,593,901,311,492,594,287,939,976,804,616,372,
995,252,547,211,823,389,338,485,224,659,409,156,798,828,794,811,938,572,539,
708,705,811,332,035,507,430,606,926,680,823,342,969,006,850,133,048,063,654,
316,511,655,872,002,786,060,710,950,997,165,312,152,461,521,871,610,370,048,
974,264,088,015,680,130,206,241,531,860,426,156,007,150,728,261,847,335,952,
654,048,048,937,120,526,387,360,846,669,894,689,987,780,994,050,874,289,866,
803,936,853,624,779,170,602,980,284,669,703,948,882,100,898,775,778,565,095,
954,818,064,425,991,431,385,240,396,091,460,622,191,190,611,482,499,411,152,
955,842,616,492,575,683,854,617,994,688,375,334,224,115,648,689,837,578,874,
839,533,209,022,792,015,662,400,534,211,545,032,547,989,676,305,122,073,041,
122,646,754,019,374,679,684,486,907,048,045,667,262,925,915,811,649,678,064,
999,151,548,416,217,766,094,603,091,706,521,375,338,681,103,643,192,777,400,
206,393,145,709,515,108,493,240,676,092,098,508,559,185,028,098,621,395,651,
104,938,009,893,563,332,470,438,611,974,005,506,572,968,513,415,266,182,523,
146,054,528,193,482,951,685,169,287,127,483,919,552,516,850,745,616,426,203,
893,347,339,930,793,300,328,328,249,031,413,609,524,395,893,919,045,356,445,
527,701,195,841,502,118,399,856,412,658,681,356,673,349,744,317,461,745,778,
177,069,627,946,935,509,444,798,008,300,199,514,474,975,086,911,490,733,432,
383,510,919,790,539,612,839,822,522,724,628,456,529,831,918,236,927,421,546,
980,363,160,451,502,326,801,908,373,423,644,505,209,586,968,855,480,555,304,
651,302,378,124,716,084,550,044,309,289,761,303,107,364,912,438,923,669,044,
153,284,535,066,911,240,287,191,552,883,219,057,861,788,617,467,792,446,220,
449,862,145,469,060,843,138,374,810,572,701,069,230,009,435,552,769,956,415,
673,548,164,906,266,975,470,671,411,042,693,617,880,915,083,302,198,385,891,
240,406,795,994,591,040,278,236,043,505,247,956,666,760,599,492,873,276,931,
945,633,201,861,015,688,021,754,006,744,591,563,832,194,017,167,577,785,518,
637,953,264,875,422,702,703,218,093,295,088,281,009,126,386,458,191,044,714,
675,726,961,230,777,870,375,009,342,951,405,246,270,643,090,731,854,969,267,
310,811,628,228,246,078,222,403,692,825,539,480,492,957,844,720,359,394,000,
283,581,018,949,063,228,408,259,209,342,555,259,376,929,455,698,631,536,010,
085,865,915,508,550,644,384,858,626,517,703,214,275,219,229,180,572,720,712,
612,773,056,669,455,700,140,251,045,742,349,692,180,304,052,499,333,978,637,
332,405,331,435,307,225,325,019,523,416,939,834,736,831,130,124,871,292,350,
782,406,693,064,805,539,887,683,263,238,743,999,547,770,776,605,389,729,209,
565,533,320,549,981,509,298,268,599,407,329,822,704,157,210,734,920,301,565,
914,911,618,215,707,691,974,545,892,554,374,932,450,923,286,303,017,073,168,
736,691,716,010,180,172,083,539,047,501,380,226,147,593,194,159,834,980,184,
812,363,891,891,416,766,463,124,447,871,983,330,126,672,304,054,671,971,508,
231,436,288,878,641,333,314,744,996,330,921,630,107,287,589,473,810,412,702,
279,769,289,949,301,921,176,591,863,251,046,345,258,125,891,496,473,420,323,
274,786,138,659,513,385,637,236,767,029,052,020,456,870,698,275,523,815,370,
501,587,051,302,281,877,372,150,050,421,207,106,036,528,211,321,707,235,429,
659,000,059,824,703,138,540,775,001,610,595,128,287,734,750,474,768,375,948,
376,003,832,201,001,157,436,651,515,729,769,249,830,954,971,131,383,606,759,
257,405,347,608,242,808,553,911,809,332,212,900,491,468,759,756,717,232,691,
421,099,757,866,020,066,778,566,419,474,014,818,415,640,442,991,333,136,258,
735,369,738,814,485,858,913,982,098,210,548,594,165,345,278,967,605,447,496,
478,881,174,694,770,114,852,347,577,992,581,698,363,510,488,473,527,531,490,
892,674,364,914,810,186,393,058,833,034,687,769,276,716,619,881,966,287,839,
884,100,543,987,537,695,363,958,369,301,484,410,196,037,030,098,318,434,783,
842,278,234,847,815,033,037,897,148,361,954,358,626,893,454,138,572,757,038,
206,944,333,161,126,130,615,834,328,094,907,695,124,200,707,970,791,531,571,
840,093,346,661,385,551,688,312,962,919,767,837,817,034,819,759,708,244,564,
350,740,486,314,472,626,585,804,015,095,706,577,410,100,197,784,796,026,357,
941,635,063,704,998,183,699,954,897,606,822,320,150,194,683,053,138,039,412,
309,986,416,628,722,664,056,968,282,970,177,603,657,190,877,834,008,154,771,
257,729,394,163,873,043,067,230,928,855,472,462,278,454,762,565,867,152,782,
170,301,375,300,268,540,961,700,234,104,118,524,281,472,344,000,169,093,286,
349,899,752,608,426,210,762,853,539,200,754,385,425,607,061,188,206,887,354,
669,531,998,096,414,279,570,052,061,746,351,883,372,151,182,426,236,781,953,
700,262,857,170,236,432,489,353,084,423,032,608,439,898,551,220,457,319,889,
340,040,830,982,081,355,543,470,856,676,323,225,722,486,592,337,038,453,914,
433,934,991,933,102,396,581,428,322,516,327,752,872,499,781,144,706,986,349,
662,553,288,571,436,106,491,427,317,908,363,684,323,685,246,877,867,677,176,
868,089,078,473,010,634,726,886,515,554,414,481,391,978,941,248,135,492,468,
883,245,837,059,877,802,958,973,331,778,633,144,868,235,854,653,141,400,650,
805,798,326,106,227,878,056,233,934,794,700,378,974,515,431,814,783,861,052,
276,471,770,218,797,179,936,515,437,943,078,058,960,158,415,890,919,896,222,
774,181,487,544,088,009,156,774,715,535,428,188,986,087,632,777,642,005,996,
463,984,095,646,288,147,359,052,995,710,530,132,728,103,705,734,795,321,074,
661,046,262,688,584,375,726,336,814,659,893,984,749,653,175,071,560,245,120,
248,322,835,674,020,328,973,819,166,935,289,499,344,007,420,716,102,860,738,
545,980,067,421,472,755,715,630,089,193,663,462,102,171,620,856,964,826,872,
788,781,982,915,110,825,062,504,093,639,113,466,011,617,342,436,072,548,676,
215,964,761,740,036,148,130,260,513,738,181,125,293,551,218,167,049,337,361,
369,519,747,493,268,715,193,905,717,432,749,001,103,964,898,723,638,232,159,
779,844,896,404,613,437,286,023,052,622,200,601,325,741,049,547,230,153,102,
885,715,650,578,400,304,390,748,849,947,705,795,345,848,653,795,079,493,222,
422,376,500,331,931,054,749,678,394,871,195,163,899,582,281,667,311,455,712,
184,926,787,368,944,960,075,198,386,138,618,771,038,845,418,208,605,617,873,
873,775,296,819,246,726,456,501,434,920,184,437,143,764,573,759,401,774,730,
200,246,675,254,871,177,481,042,244,243,035,990,282,952,023,030,044,679,987,
414,917,855,642,018,187,116,249,687,031,407,058,416,687,191,429,254,972,706,
748,088,401,499,095,448,988,076,185,449,955,912,145,047,798,288,917,851,310,
977,054,218,198,411,568,339,819,863,126,600,089,946,040,035,925,423,705,011,
950,598,995,206,174,624,470,752,595,339,382,208,416,951,673,440,274,675,798,
773,497,700,465,552,246,631,124,674,588,623,423,931,741,972,233,481,142,579,
205,121,436,549,534,085,936,655,320,019,005,674,095,937,037,233,036,410,749,
041,615,508,164,011,322,678,282,263,947,270,428,526,989,671,733,506,534,977,
985,816,909,837,299,637,040,238,889,233,789,549,467,461,527,956,672,893,402,
119,098,695,611,505,967,048,382,755,630,687,450,995,919,083,610,976,523,512,
355,114,013,436,763,127,061,704,814,394,998,716,089,292,701,303,866,093,521,
781,540,702,274,228,974,301,196,332,522,886,198,371,951,886,762,242,047,435,
898,277,940,193,533,741,540,078,158,890,714,844,622,762,857,777,279,037,024,
153,945,400,894,900,902,589,404,766,619,939,403,874,539,648,119,698,855,304,
826,563,244,667,327,502,630,722,025,061,538,790,614,764,190,678,393,919,900,
667,210,175,199,110,095,345,060,989,552,471,579,462,357,460,719,011,214,449,
394,028,630,191,997,554,832,632,981,883,982,064,081,048,797,840,203,201,149,
144,606,930,374,339,279,135,303,433,577,744,981,649,279,368,861,257,622,516,
273,903,079,484,211,837,630,074,967,356,201,422,233,532,656,752,031,209,765,
217,443,543,089,046,553,052,801,764,186,197,358,443,952,401,589,101,536,083,
754,409,176,349,279,244,675,743,710,841,780,571,804,888,343,230,386,159,780,
854,531,179,447,495,227,092,062,356,186,359,348,598,069,675,087,315,080,880,
650,036,678,586,525,018,097,974,895,699,605,996,739,601,235,087,449,789,648,
274,034,212,343,512,442,390,467,670,146,645,945,333,528,025,653,904,915,421,
151,577,783,831,491,994,493,469,060,129,412,104,666,878,968,360,503,848,288,
939,160,626,017,703,706,009,193,736,649,129,591,751,041,922,236,217,139,362,
297,390,252,799,953,424,231,882,051,741,266,913,254,868,032,424,536,734,920,
957,572,740,570,725,110,175,179,907,593,047,183,200,676,668,792,649,733,508,
402,208,857,313,358,343,072,287,340,703,576,585,894,886,072,789,442,686,555,
189,418,303,188,442,250,904,960,970,889,004,261,202,316,240,184,104,064,688,
578,253,808,391,198,248,993,081,409,662,831,969,158,474,561,837,366,739,442,
610,620,635,572,601,035,520,322,933,018,639,413,971,204,737,622,070,793,744,
451,891,172,250,486,729,683,718,025,626,115,288,127,341,209,950,059,289,377,
642,120,280,474,769,602,258,667,898,870,642,233,992,846,250,349,030,277,742,
357,391,818,781,929,638,006,645,546,813,835,449,725,025,564,743,056,114,357,
177,133,947,029,674,951,149,188,736,978,681,917,965,719,111,868,327,290,177,
180,094,530,144,635,989,233,428,548,858,391,761,681,334,353,104,492,251,419,
276,309,460,130,761,853,843,949,498,146,231,177,192,508,404,993,385,024,493,
075,755,135,707,979,637,974,747,295,991,392,302,308,919,846,419,528,053,729,
813,575,605,057,695,445,822,929,415,283,843,565,700,292,013,899,573,497,599,
027,061,445,958,142,605,835,272,963,718,781,380,609,973,076,881,788,462,209,
406,162,714,914,790,839,827,128,385,494,997,358,699,655,146,748,085,920,939,
327,096,659,036,693,704,766,765,427,068,719,279,837,993,652,122,723,958,432,
196,087,463,430,448,056,005,792,614,633,094,232,168,077,531,487,312,512,872,
923,176,061,499,490,027,445,961,669,985,985,985,729,777,749,292,421,134,456,
431,345,008,399,006,513,886,182,479,054,951,799,874,860,763,704,689,694,285,
575,822,196,312,174,492,718,316,381,198,027,025,464,996,926,485,990,265,403,
978,386,226,718,183,598,186,668,947,637,178,467,552,021,537,684,571,641,489,
419,710,967,178,310,641,585,437,233,174,420,652,193,410,564,681,368,138,038,
354,157,166,638,887,816,806,599,529,438,784,475,156,911,674,210,046,395,078,
098,846,186,012,407,320,376,383,526,896,932,316,798,475,833,711,521,638,711,
977,728,693,738,456,014,321,795,500,880,192,663,157,662,131,156,963,975,735,
506,376,264,746,858,108,566,171,286,771,060,083,150,843,509,683,648,414,081,
216,235,230,817,628,670,429,068,724,551,277,924,713,802,257,507,596,846,472,
232,673,696,119,111,648,664,659,860,257,767,198,366,844,408,797,532,833,516,
521,315,382,220,216,056,332,623,249,915,638,886,818,169,285,212,696,695,611,
447,248,806,287,076,820,113,401,426,108,093,102,485,457,093,361,836,125,752,
329,974,850,245,863,934,961,277,437,516,195,430,372,576,879,447,300,733,188,
620,034,331,209,083,421,071,236,852,148,932,540,607,064,327,042,911,949,180,
251,562,336,348,256,664,668,091,297,226,666,526,001,065,363,669,877,445,380,
604,539,086,986,389,929,953,276,611,993,024,604,577,161,463,711,983,649,026,
862,619,747,602,976,171,640,002,265,103,809,296,222,495,595,650,647,327,276,
003,704,475,607,248,514,296,547,120,916,053,423,669,430,474,375,605,416,218,
792,574,874,105,909,757,393,237,800,773,674,633,854,049,043,360,799,397,657,
137,744,313,317,052,981,609,264,352,568,806,493,151,649,815,389,611,363,787,
443,241,025,305,001,999,074,072,121,556,642,683,465,389,025,028,880,260,003,
163,097,462,931,837,021,965,821,847,394,803,068,139,533,826,675,972,178,101,
408,335,917,389,785,784,888,201,462,047,507,173,077,056,838,208,541,755,330,
024,045,332,531,556,864,815,691,649,414,452,879,388,221,695,528,339,023,105,
332,994,106,437,097,336,099,257,265,363,586,494,851,055,733,075,714,660,256,
895,678,060,971,755,878,142,777,982,798,282,498,173,130,316,428,302,612,001,
062,851,727,445,446,297,679,391,602,444,150,902,559,931,126,549,067,551,172,
987,374,203,034,022,648,955,079,391,971,587,507,268,026,390,384,327,680,246,
618,565,662,076,020,168,315,489,908,493,682,129,214,878,111,284,419,368,057,
121,175,682,421,751,939,496,967,378,500,719,553,821,196,403,402,173,876,623,
152,860,051,131,100,270,081,725,453,641,834,688,877,063,400,796,358,838,095,
873,754,332,992,092,221,486,753,789,621,955,139,931,804,144,084,951,827,775,
797,667,974,475,211,569,459,933,559,006,048,971,610,423,849,584,889,303,354,
830,164,308,451,059,829,745,104,062,091,338,537,028,005,641,460,501,225,503,
456,804,865,065,427,376,398,865,345,314,462,196,599,465,347,036,467,352,487,
501,871,152,252,221,278,926,116,987,878,447,759,649,619,928,138,389,782,238,
003,804,368,734,265,883,823,115,774,642,322,635,715,277,300,425,854,126,282,
336,643,836,134,615,274,144,055,428,057,729,440,535,231,742,736,316,200,542,
163,319,446,959,865,204,859,063,901,584,820,964,010,481,614,175,153,519,288,
709,786,329,670,932,200,537,738,310,255,457,168,581,739,620,525,542,267,796,
414,197,832,816,905,531,831,185,355,103,458,890,327,935,890,161,175,749,126,
128,344,003,350,385,167,482,338,265,840,295,956,890,258,226,743,667,483,090,
269,595,277,394,985,333,853,951,241,201,560,897,293,812,147,277,768,788,710,
868,572,670,577,367,232,027,514,946,522,182,568,807,352,214,534,179,746,912,
292,626,531,468,445,885,759,859,295,737,998,990,124,328,382,722,346,808,039,
303,438,820,779,383,651,243,421,068,146,038,152,914,995,806,369,310,687,137,
965,756,374,668,787,996,507,533,494,256,953,473,646,055,900,782,022,192,284,
265,023,772,399,304,616,260,365,258,646,305,215,383,156,079,517,347,953,821,
149,196,225,900,182,754,677,271,194,523,339,278,355,768,885,629,279,771,049,
222,844,634,899,538,845,803,021,365,494,451,434,141,175,631,220,529,613,272,
171,686,768,659,564,787,455,538,612,557,577,406,004,152,356,989,545,116,144,
045,540,062,991,515,797,359,426,438,165,620,576,606,133,021,556,471,871,321,
638,162,190,192,931,389,442,340,963,168,327,967,109,936,330,119,257,912,611,
608,217,025,296,696,077,382,528,597,996,588,035,620,050,158,389,090,200,611,
340,331,651,749,875,582,041,171,865,976,162,537,591,024,337,019,508,324,197,
377,801,827,731,426,776,929,746,994,796,315,440,548,954,988,781,512,022,912,
922,439,069,826,382,352,781,828,725,067,203,451,962,413,964,795,885,239,899,
578,502,908,006,117,471,443,283,011,795,707,917,104,416,922,237,704,581,778,
435,975,185,478,634,986,279,956,206,766,267,484,058,847,078,453,355,290,270,
245,838,964,486,107,091,551,970,637,137,631,280,459,611,445,450,369,456,986,
003,594,952,098,432,956,928,368,661,214,525,668,453,398,551,340,165,750,190,
088,094,271,820,775,075,359,977,808,308,883,285,897,449,497,993,991,629,059,
221,908,705,106,071,015,568,286,082,327,040,407,160,731,491,771,615,780,503,
946,233,875,185,416,143,735,330,076,263,154,533,694,449,042,499,121,972,684,
249,892,316,030,842,321,171,326,529,067,849,198,800,104,209,906,886,582,032,
128,164,688,654,526,004,210,125,767,368,178,222,993,763,060,361,454,409,268,
246,655,280,705,942,172,224,597,114,665,254,368,398,769,342,598,001,668,208,
079,273,421,184,207,111,168,570,426,163,913,198,712,672,271,138,674,511,473,
687,613,130,655,097,017,717,721,711,123,692,289,716,325,882,873,930,921,297,
970,182,220,133,476,665,608,884,762,528,116,516,738,468,101,996,330,198,410,
049,590,249,457,036,074,420,091,913,851,298,202,121,839,697,525,928,811,736,
551,162,341,082,849,847,529,639,636,516,820,528,805,987,681,628,549,142,866,
007,852,482,212,466,738,249,755,976,103,245,503,843,782,693,364,869,860,012,
266,896,435,181,030,345,574,300,035,279,824,545,536,453,790,472,423,266,689,
376,270,937,460,174,976,191,415,822,056,373,781,204,676,332,950,904,708,811,
481,421,182,185,312,730,985,982,661,496,928,349,987,855,620,327,736,382,978,
117,833,218,681,396,199,665,851,751,934,027,663,516,485,331,351,164,653,309,
560,572,759,810,842,602,301,211,956,450,578,981,806,582,943,924,878,252,540,
337,252,010,840,837,868,293,542,929,973,430,557,914,248,005,936,527,777,810,
095,528,758,015,950,108,906,036,830,024,464,274,220,487,718,181,876,671,637,
332,718,606,404,788,192,546,993,003,994,996,841,014,771,382,231,361,656,498,
927,381,833,542,658,703,054,910,160,800,433,935,182,335,923,049,749,972,394,
704,485,173,779,220,309,554,597,676,315,951,043,096,337,769,851,474,568,529,
664,245,093,780,983,995,678,799,971,861,733,956,151,817,769,378,085,820,692,
985,655,159,251,010,523,913,481,688,237,469,172,958,252,742,928,221,106,640,
037,904,801,058,395,288,875,195,291,298,018,413,971,005,654,262,587,713,667,
683,098,741,954,802,134,134,174,359,667,868,910,124,763,704,182,492,793,723,
381,895,147,559,838,403,003,359,486,075,403,458,172,710,677,941,479,056,154,
897,956,265,963,176,453,310,734,627,854,247,819,198,357,946,070,589,250,390,
805,528,378,956,195,461,074,050,271,572,819,416,299,459,189,238,452,211,544,
222,532,716,768,453,050,562,769,871,321,141,816,786,480,343,546,938,914,703,
156,168,432,482,944,260,858,775,437,905,709,256,758,795,998,449,053,404,039,
621,279,545,522,349,888,256,622,522,896,649,826,822,884,859,987,233,408,017,
390,723,897,629,075,147,666,737,107,485,543,447,907,852,544,263,248,445,758,
495,942,705,888,769,591,921,661,810,424,964,420,276,315,610,973,067,086,275,
371,564,235,063,792,833,698,937,150,946,019,613,324,255,417,476,434,809,049,
498,141,185,139,074,419,451,868,717,695,685,827,629,795,164,101,318,906,744,
601,882,990,964,716,255,721,271,933,534,029,790,760,245,986,996,103,364,629,
934,928,695,164,510,222,958,559,925,785,721,476,782,004,817,626,388,991,461,
173,478,333,417,991,112,514,675,034,834,270,811,584,931,569,045,599,975,466,
456,959,501,925,566,118,801,346,710,002,915,716,292,957,243,155,943,472,671,
331,478,060,461,712,836,049,342,833,469,041,294,563,798,476,604,243,637,456,
594,048,034,168,775,154,395,734,711,856,591,839,441,773,087,127,311,511,742,
959,303,559,626,206,436,150,498,232,618,653,019,631,372,314,316,098,900,162,
746,785,973,735,567,679,319,648,184,924,800,562,949,359,466,775,016,299,760,
384,968,300,372,219,629,309,196,645,655,153,900,118,430,697,023,548,725,218,
989,651,708,882,052,276,561,236,613,727,824,558,912,792,177,875,880,632,947,
498,081,187,228,358,856,630,026,838,749,365,898,976,065,415,876,080,836,599,
762,963,958,903,095,772,215,020,804,258,037,905,435,940,242,520,973,749,197,
697,881,365,107,790,121,665,230,629,966,907,202,387,014,781,709,599,440,364,
378,320,245,637,950,578,594,610,330,034,418,478,830,834,434,296,148,054,387,
703,101,463,797,668,560,961,434,924,915,670,050,372,803,040,124,569,127,464,
243,708,489,371,259,243,848,024,404,658,953,904,718,520,456,611,098,502,012,
781,043,462,342,171,952,840,973,786,721,526,575,282,868,940,614,660,302,190,
426,030,306,563,659,073,296,861,859,875,694,280,293,773,817,558,207,652,001,
771,956,695,531,231,405,914,283,336,760,348,235,156,775,844,053,357,921,324,
459,930,506,628,821,422,913,338,367,918,142,373,477,465,762,297,880,031,325,
085,165,863,984,139,477,460,101,785,228,425,329,767,331,600,190,359,670,898,
657,817,731,689,933,191,073,173,258,757,620,865,858,107,014,819,443,433,731,
963,437,649,111,192,933,397,144,758,584,348,252,413,912,396,692,119,769,809,
884,594,703,000,950,832,292,262,310,342,909,738,587,368,961,387,224,053,858,
395,375,033,919,807,229,376,141,092,313,664,882,660,675,648,437,476,082,064,
858,150,594,691,108,168,086,316,490,330,294,276,029,425,340,064,216,326,499,
729,213,995,786,369,902,605,457,151,373,660,948,385,950,607,241,652,952,645,
903,798,951,886,843,597,866,190,183,913,795,361,373,723,490,752,566,542,647,
456,903,443,948,789,138,475,612,654,248,580,967,022,450,772,626,389,412,496,
488,203,088,876,757,508,010,869,458,284,607,951,719,852,708,241,500,322,664,
398,197,018,672,961,060,893,703,448,676,160,122,296,669,477,057,361,869,416,
129,925,331,900,125,302,029,414,097,892,982,911,250,494,863,307,564,743,425,
527,583,908,287,782,364,652,937,915,180,130,918,128,521,454,059,212,668,358,
230,249,753,409,924,134,630,865,083,141,804,800,859,847,643,510,611,075,497,
855,314,043,123,062,594,692,078,646,233,835,393,353,966,379,255,737,246,919,
909,742,488,559,367,696,860,766,134,683,688,957,826,758,639,991,462,791,929,
934,707,247,944,165,644,755,750,627,971,448,889,756,222,837,172,833,974,183,
972,094,384,691,832,441,007,593,015,660,496,003,274,763,968,410,123,675,873,
544,394,440,938,859,256,371,286,413,711,739,495,115,054,678,830,355,453,194,
296,606,421,117,502,604,522,351,589,875,344,957,198,549,692,930,904,457,667,
325,475,852,856,171,370,141,167,625,054,893,343,427,349,085,453,507,270,410,
830,612,718,284,396,622,972,036,063,838,532,855,003,943,423,302,190,182,921,
134,635,366,483,035,352,421,251,385,196,988,830,238,208,892,082,022,680,170,
852,037,468,250,666,875,168,828,108,096,844,147,706,109,928,480,761,259,311,
801,725,163,437,856,557,219,325,292,633,290,465,691,661,722,308,144,795,104,
126,924,871,114,468,523,093,570,030,659,881,240,116,186,397,352,291,994,256,
968,350,299,784,358,975,564,667,784,376,721,488,119,811,793,536,756,203,597,
056,417,186,561,746,783,905,146,433,457,686,203,773,979,480,203,812,118,369,
422,300,963,687,539,377,009,453,513,403,502,853,968,266,621,847,003,467,163,
316,173,957,228,401,147,346,246,335,185,260,715,866,382,841,000,290,891,052,
057,692,241,150,052,306,717,913,386,522,745,523,633,776,882,611,839,859,852,
363,150,691,473,972,064,238,511,787,496,589,677,580,673,590,684,133,236,055,
277,552,188,814,633,972,486,691,759,182,818,725,052,484,783,604,309,934,377,
866,091,780,424,612,232,020,416,401,941,067,565,158,632,303,349,953,162,012,
336,873,300,257,290,346,700,697,209,709,043,181,420,222,969,640,230,130,378,
873,449,702,427,238,252,223,602,410,286,266,950,701,532,465,463,061,034,072,
144,558,286,630,322,132,536,255,595,234,868,574,725,190,383,653,650,199,548,
613,313,896,063,072,713,700,951,847,451,133,949,699,261,832,552,655,497,699,
096,556,740,718,190,434,621,856,903,434,113,945,743,192,371,845,143,850,163,
984,853,723,277,426,221,519,149,043,445,344,960,481,130,231,542,907,924,514,
028,183,825,634,648,557,894,503,626,190,691,799,334,888,342,424,683,563,678,
947,915,258,251,043,129,433,390,590,615,693,558,022,622,899,520,907,517,966,
245,960,823,644,673,706,237,216,141,008,452,104,385,063,053,563,863,906,469,
528,360,560,049,839,720,679,261,014,228,057,607,256,588,997,181,658,574,798,
431,245,761,781,828,788,304,008,489,990,085,340,786,789,688,472,251,559,032,
838,057,164,772,453,145,688,245,715,434,244,451,517,109,710,482,691,513,139,
645,477,255,026,849,486,402,744,861,123,216,116,348,592,497,403,632,339,010,
700,027,579,508,867,256,656,122,389,458,807,878,198,937,130,962,827,950,224,
200,270,036,745,280,890,939,521,326,745,080,713,979,605,428,762,633,115,440,
969,464,673,588,059,446,379,031,404,833,875,855,906,130,667,624,503,735,826,
427,309,503,506,960,188,889,452,052,640,372,635,589,733,911,306,331,108,957,
523,865,629,568,869,935,216,397,161,503,743,143,358,895,748,511,481,225,093,
336,873,541,642,817,116,454,850,907,243,515,565,835,684,513,040,816,113,951,
444,052,859,500,145,576,606,077,209,798,704,745,231,823,020,627,138,963,486,
445,476,862,985,624,881,244,369,924,889,230,445,428,425,648,599,642,318,914,
708,797,577,426,905,859,841,172,377,166,128,824,172,777,226,511,892,176,756,
265,052,796,113,523,118,546,086,402,995,670,702,488,968,694,529,039,259,281,
507,714,631,547,776,257,451,925,635,610,369,565,422,150,178,216,902,287,187,
450,794,790,212,998,477,685,454,298,830,370,128,689,305,586,264,753,283,994,
401,578,611,824,452,147,094,230,037,584,070,000,127,664,748,929,732,806,022,
442,605,440,143,118,707,269,039,019,132,953,403,678,603,209,686,899,499,922,
449,237,404,152,516,513,719,558,803,686,859,772,173,151,998,863,116,770,379,
776,949,252,883,480,842,493,650,696,648,774,086,542,075,330,680,970,995,895,
188,282,713,095,734,060,191,816,390,066,224,754,182,861,469,350,211,110,363,
057,018,353,402,823,248,002,804,820,151,174,984,265,430,542,070,082,324,667,
363,140,841,187,742,185,180,639,098,696,283,621,922,713,205,051,318,147,878,
288,535,628,119,873,395,230,331,436,940,624,222,462,734,181,023,040,290,178,
354,403,410,941,730,276,953,248,534,857,129,237,313,167,206,711,381,141,839,
148,947,180,143,776,615,484,740,367,771,553,071,185,082,451,265,053,932,669,
399,138,003,082,538,341,183,443,518,225,117,879,967,157,256,893,219,515,196,
796,688,186,582,202,243,817,069,682,803,977,143,722,511,640,290,422,197,013,
542,309,495,526,078,325,693,655,543,145,367,304,849,652,937,354,407,539,606,
057,946,841,517,337,681,968,990,525,220,410,357,642,793,620,732,188,566,580,
810,626,108,593,346,024,982,244,807,127,016,676,473,259,308,729,921,030,577,
031,031,942,763,764,923,055,614,177,873,832,818,594,653,702,092,936,277,149,
239,557,908,424,283,877,166,494,038,749,407,567,545,808,137,599,674,192,260,
621,297,477,559,709,053,033,808,103,924,931,799,509,156,679,195,009,727,282,
442,483,373,667,041,018,761,574,547,102,015,459,848,146,172,118,462,079,411,
416,231,494,329,260,690,779,627,953,223,528,739,475,740,190,546,598,703,690,
296,786,823,521,801,752,463,251,219,928,557,945,161,950,022,972,544,638,711,
470,564,530,478,614,844,043,440,366,778,298,333,781,254,527,896,091,558,889,
619,951,545,256,983,541,743,709,923,686,671,769,687,953,612,633,453,557,427,
611,598,566,585,213,354,648,004,117,483,968,396,419,936,239,735,732,458,210,
377,054,235,903,129,238,666,593,472,624,283,678,881,627,023,717,555,847,694,
771,727,843,124,454,229,537,367,933,201,524,875,985,170,639,535,382,185,419,
258,497,051,005,404,372,664,078,389,570,904,998,043,011,033,222,365,118,490,
100,907,050,558,603,539,996,964,210,625,936,233,128,083,990,437,704,582,248,
444,258,122,210,948,585,591,695,732,475,319,452,673,710,088,526,761,941,799,
385,969,257,152,746,651,473,996,259,279,919,750,368,180,786,867,703,301,476,
005,060,702,799,184,067,810,933,982,933,799,662,601,196,750,213,803,004,528,
254,809,235,507,396,231,210,569,148,450,738,052,018,501,325,104,711,236,493,
612,498,174,164,307,459,935,639,833,669,096,361,390,710,873,895,055,634,512,
030,948,324,779,991,201,185,182,244,274,844,312,821,608,490,904,672,642,411,
360,837,884,115,524,746,805,208,347,107,438,996,634,863,252,603,670,062,193,
957,807,678,617,424,705,725,737,628,169,907,101,785,608,522,844,925,333,395,
380,383,986,647,052,265,114,858,190,062,168,398,231,988,149,559,669,474,628,
310,032,243,215,514,941,540,832,677,913,093,703,747,023,555,740,988,121,357,
866,703,062,263,602,673,365,225,927,802,623,858,400,992,760,627,780,377,292,
475,287,938,992,773,359,747,539,734,031,663,170,387,357,344,432,312,627,799,
926,845,010,481,745,502,594,589,623,195,108,808,013,799,764,542,760,052,917,
541,297,460,366,270,912,438,905,254,071,996,519,436,169,541,282,453,493,213,
834,573,471,897,980,880,387,105,638,191,181,888,014,891,502,966,580,194,175,
514,236,716,080,032,538,482,674,813,487,601,128,817,633,633,849,686,828,031,
851,207,474,810,400,380,164,714,110,022,580,211,398,051,803,853,724,016,385,
621,033,688,913,046,502,967,157,770,402,525,716,303,515,640,809,988,277,198,
235,137,432,598,053,958,617,860,283,275,918,201,263,219,917,884,967,838,488,
613,235,236,465,383,864,367,767,879,395,154,611,617,970,155,058,960,475,534,
259,344,561,147,036,638,946,601,803,363,897,724,555,645,532,516,383,626,104,
370,866,177,570,668,759,395,318,188,533,787,309,303,121,155,532,395,058,434,
961,695,633,304,024,186,914,983,309,214,355,933,530,424,016,768,896,765,108,
809,418,583,393,138,113,394,935,105,787,765,213,687,792,171,714,124,086,647,
370,056,418,649,298,422,733,446,904,663,618,508,749,540,345,061,534,194,632,
138,970,667,190,931,788,948,495,575,495,016,065,359,986,353,448,547,161,068,
776,651,392,188,487,462,063,409,024,326,775,467,412,846,087,493,916,197,063,
251,366,317,319,329,100,396,177,477,291,351,323,958,107,084,097,712,401,530,
346,954,987,766,950,068,284,215,149,222,646,555,775,525,159,768,088,160,088,
503,380,988,766,708,618,566,408,678,969,741,570,128,688,135,280,603,869,034,
621,622,240,695,145,678,561,880,330,190,428,569,614,647,148,734,896,717,872,
803,333,453,188,850,326,214,348,036,452,872,180,161,083,480,260,198,519,205,
653,802,819,371,963,857,722,704,698,211,093,039,357,804,121,672,578,888,661,
098,952,023,070,193,157,550,978,154,236,331,086,480,261,587,314,241,643,946,
996,296,848,114,729,734,185,242,147,144,409,023,512,023,809,427,188,759,404,
265,316,501,582,995,466,602,468,858,528,312,934,131,402,292,984,081,122,080,
558,537,963,081,173,857,592,603,151,312,326,256,228,159,301,154,411,134,275,
066,876,208,491,643,893,398,336,394,268,963,870,190,704,774,550,197,086,809,
304,494,202,594,100,310,922,682,747,897,205,589,125,880,296,683,369,917,488,
738,703,278,036,069,337,124,234,005,868,533,851,759,070,850,258,050,714,864,
237,763,557,794,010,382,911,983,184,096,227,039,581,697,197,738,948,511,505,
596,769,839,432,585,402,422,981,641,098,816,355,667,086,077,025,625,261,393,
460,535,063,443,682,542,033,177,420,070,752,223,434,990,961,589,704,278,080,
891,851,870,114,615,963,560,097,539,564,406,816,158,547,464,634,028,373,802,
406,742,510,130,275,442,651,320,429,878,494,370,914,245,522,651,906,034,254,
856,201,971,496,289,699,366,656,327,261,983,866,718,187,826,089,670,531,534,
973,337,274,308,310,489,526,925,201,302,199,171,934,588,371,603,623,183,878,
330,792,526,759,619,378,028,376,883,355,483,436,114,655,347,011,649,355,708,
056,547,660,788,946,850,713,797,946,286,355,461,201,068,820,537,952,967,606,
721,460,565,704,238,894,092,150,919,841,821,842,399,575,544,746,773,420,608,
670,095,256,737,557,034,404,510,399,717,898,570,033,222,780,652,341,791,725,
821,580,971,325,871,947,363,116,549,846,470,603,532,224,955,789,655,391,250,
844,199,938,696,989,842,456,825,722,987,763,435,307,237,248,379,593,254,067,
071,095,254,625,762,533,894,391,114,949,449,735,088,748,658,279,439,514,059,
802,784,080,886,747,143,868,169,150,498,064,360,061,341,402,296,333,204,121,
370,661,795,597,766,152,522,224,443,439,302,847,341,971,497,283,716,454,110,
830,652,690,892,376,783,502,926,548,711,806,515,696,045,676,809,554,542,144,
738,359,622,891,596,757,683,597,931,363,259,701,569,130,899,685,667,599,294,
979,155,281,700,095,685,500,915,431,152,271,942,462,240,715,558,125,872,276,
006,683,286,361,041,951,171,462,272,151,896,317,197,525,159,701,771,625,769,
338,085,062,329,139,532,163,983,877,930,374,626,569,332,307,111,866,655,356,
187,384,726,949,833,111,825,642,534,555,035,250,544,451,724,247,341,213,939,
704,386,957,234,475,779,085,750,016,425,834,854,014,899,706,405,429,389,525,
744,627,175,814,057,087,049,828,556,069,632,540,786,273,816,529,481,344,030,
403,836,576,822,475,562,388,554,224,191,315,620,359,402,440,148,474,374,170,
830,607,093,527,126,118,759,799,539,749,090,400,114,588,995,717,353,541,404,
326,617,247,777,082,259,886,198,493,390,380,415,662,844,377,651,102,030,639,
215,794,706,537,827,642,005,478,886,569,879,697,794,129,390,668,590,705,930,
561,307,074,489,983,176,077,291,609,738,794,619,611,877,054,155,099,736,420,
101,931,776,769,841,275,794,855,358,117,280,963,827,414,410,139,295,697,269,
282,840,307,094,355,050,974,781,982,483,788,468,916,720,365,833,406,070,894,
796,379,177,489,190,537,171,904,745,116,321,181,405,367,681,084,903,277,349,
279,866,690,097,642,347,723,867,778,054,900,588,233,248,517,237,918,779,854,
066,254,593,460,449,447,880,516,144,342,428,441,226,611,127,142,191,721,669,
567,785,361,824,853,914,520,346,474,901,646,865,803,001,042,614,690,013,330,
144,028,294,170,948,548,262,619,500,265,727,338,026,703,352,475,655,198,507,
656,960,471,655,550,227,996,485,271,570,567,712,155,380,723,822,447,578,841,
183,058,058,155,538,887,384,749,948,832,297,123,438,892,175,864,652,979,475,
670,790,590,694,897,996,205,330,254,319,877,557,976,997,921,134,150,059,842,
890,671,116,492,698,314,900,159,886,898,435,769,008,420,768,522,963,701,604,
266,604,154,920,711,339,688,070,010,928,959,596,587,793,900,106,736,616,871,
341,798,479,233,644,476,939,052,236,484,579,893,114,356,096,570,311,967,691,
129,104,599,788,518,355,994,068,660,432,054,792,686,331,000,298,746,375,126,
424,742,231,070,860,190,931,595,669,150,264,350,416,461,731,625,748,581,920,
070,920,825,378,263,492,678,210,708,052,759,592,341,331,946,460,135,230,417,
432,712,899,482,614,425,668,926,140,722,424,825,829,788,030,155,581,427,468,
376,225,627,061,625,433,016,763,417,059,156,586,660,951,199,944,298,501,243,
587,880,411,054,759,673,527,235,553,968,512,552,073,461,982,177,120,054,896,
511,447,052,717,551,000,879,700,330,335,868,729,615,609,079,781,701,299,469,
488,773,378,933,796,800,866,062,237,067,296,012,184,173,815,477,695,759,636,
033,902,820,711,322,109,920,779,185,140,476,416,948,611,049,371,359,998,622,
079,266,522,907,252,881,416,517,599,834,181,059,063,791,111,214,572,368,558,
310,225,039,879,926,829,736,459,173,273,687,043,536,787,339,495,196,851,742,
996,701,151,341,970,615,473,651,523,777,152,415,200,115,001,712,411,746,188,
131,699,760,435,124,819,353,273,038,506,945,385,641,846,783,493,657,467,185,
693,569,372,444,094,262,075,993,088,577,128,479,443,732,308,170,398,261,289,
640,161,443,282,123,899,130,150,917,971,614,037,067,374,364,984,986,059,458,
633,451,706,957,744,441,387,219,090,938,950,658,520,095,807,837,727,762,862,
062,706,787,092,982,577,984,866,661,431,544,197,886,525,535,641,458,973,787,
117,089,649,672,585,302,206,257,401,708,674,493,599,445,480,225,949,829,958,
276,529,766,800,658,327,729,434,774,750,069,139,855,664,642,014,991,956,636,
166,763,788,404,588,498,518,502,424,087,643,788,995,536,507,302,009,410,761,
115,128,513,023,040,041,437,866,411,554,036,578,415,667,053,909,035,689,042,
825,105,467,021,301,755,692,423,849,295,445,089,293,476,236,909,877,255,035,
766,885,172,754,281,413,764,987,771,544,181,823,279,848,322,942,370,651,736,
179,740,668,232,335,703,953,029,138,624,639,886,665,506,437,943,823,138,475,
879,987,591,925,925,655,829,318,534,095,922,092,602,699,800,841,536,780,804,
577,279,427,612,273,686,784,621,411,815,816,330,997,995,935,846,713,345,833,
228,240,930,745,943,965,834,987,518,303,871,865,537,908,288,692,459,564,185,
436,650,712,333,885,091,836,098,107,352,818,754,023,216,835,081,182,047,454,
036,669,374,524,859,080,458,445,791,592,745,046,492,169,116,428,023,915,456,
774,639,389,572,610,600,391,746,653,453,919,008,235,787,079,737,464,796,107,
086,424,736,647,764,725,081,943,326,047,981,405,807,127,235,399,673,333,974,
555,657,436,090,027,645,286,207,472,917,386,593,301,813,359,047,782,821,957,
689,482,724,492,929,315,188,719,408,542,153,160,668,086,585,483,955,780,580,
176,060,410,000,905,333,157,738,006,347,907,533,005,109,938,400,059,789,837,
809,936,299,457,141,022,303,542,731,328,308,341,631,256,237,036,904,450,574,
334,115,994,130,766,446,550,026,738,156,193,372,916,431,620,528,912,272,439,
751,725,910,304,344,457,859,678,764,038,193,232,470,210,508,348,751,433,373,
721,351,186,809,022,094,176,450,151,527,192,323,507,452,559,267,970,992,904,
092,424,953,039,991,026,468,359,365,541,708,069,133,457,104,246,575,260,872,
437,838,329,298,472,291,281,397,274,509,339,619,670,625,533,906,391,937,770,
501,520,082,225,017,432,515,492,154,531,121,303,330,842,000,598,482,771,635,
153,105,210,258,710,926,202,928,004,838,106,453,992,660,733,097,904,327,826,
434,899,803,909,947,868,197,826,854,494,237,958,043,141,482,641,389,805,995,
155,051,759,429,846,946,139,294,225,574,818,556,474,747,141,551,125,918,169,
043,493,404,627,475,803,624,829,293,904,075,532,589,484,749,331,730,365,496,
097,673,583,772,083,079,855,879,917,516,627,723,760,259,309,094,413,142,394,
741,500,833,858,668,684,035,548,554,641,543,191,078,502,084,197,169,936,489,
125,597,370,463,273,525,856,517,302,245,423,015,488,978,991,442,729,864,654,
173,596,567,563,391,715,018,348,888,827,237,325,324,974,366,359,162,227,334,
939,405,564,493,846,677,924,713,767,498,593,398,011,463,028,792,563,866,734,
696,907,237,324,841,115,136,634,039,153,655,160,441,986,693,594,644,579,451,
032,513,868,799,932,298,675,876,832,483,684,310,541,375,410,986,602,655,978,
626,888,784,003,005,204,376,591,985,100,638,288,860,659,204,147,391,530,101,
090,199,499,510,645,925,615,391,289,806,592,727,148,370,472,601,482,054,464,
009,831,876,795,832,140,436,049,213,626,783,444,093,514,007,737,634,004,449,
478,178,302,367,266,221,466,285,056,929,808,538,964,313,579,256,415,020,390,
694,032,213,116,006,282,783,044,154,517,068,671,066,870,880,446,683,858,766,
376,527,043,733,262,467,068,856,341,918,466,746,318,017,024,858,262,129,844,
999,066,338,338,458,679,416,343,939,545,123,593,549,512,449,473,202,946,317,
092,788,896,798,756,838,229,811,062,275,109,052,683,725,432,896,878,743,256,
433,328,589,726,415,259,589,880,824,993,528,593,031,374,803,217,090,284,715,
910,614,314,393,702,367,961,056,628,429,445,672,161,219,725,906,278,870,672,
770,906,511,468,053,206,574,596,637,100,397,590,610,881,966,766,456,592,415,
038,598,232,916,777,452,870,100,857,479,316,776,493,454,475,186,284,019,782,
760,632,512,840,462,168,882,109,563,166,112,873,325,751,587,600,768,889,316,
710,762,738,092,208,316,989,125,911,288,829,026,879,568,353,349,024,750,002,
028,231,175,055,385,455,854,901,734,903,917,831,741,383,783,961,394,336,545,
860,875,168,008,630,787,395,658,648,588,270,394,147,829,429,160,660,159,824,
154,585,989,985,111,380,825,187,114,787,384,702,064,662,605,490,537,537,525,
526,859,100,917,095,732,649,207,472,204,400,870,253,115,343,010,677,585,930,
169,072,676,490,499,373,028,798,652,204,155,835,241,182,820,604,962,112,677,
123,841,866,020,234,244,838,138,534,966,340,772,807,247,260,602,146,609,574,
771,305,701,035,493,484,030,838,946,821,669,948,561,667,749,489,950,097,246,
089,702,395,196,442,871,133,599,078,396,232,499,682,286,021,610,981,579,088,
342,139,150,591,836,383,917,316,118,489,472,683,364,165,757,834,793,733,721,
162,546,358,271,916,590,909,194,548,949,385,488,125,700,198,375,440,858,867,
004,983,264,799,490,866,860,263,866,850,652,789,483,330,873,511,337,728,819,
337,906,400,380,855,486,416,699,765,975,797,754,580,775,356,103,960,207,612,
540,866,069,527,985,013,537,225,413,174,444,737,335,847,867,272,767,416,012,
095,943,831,742,984,826,732,414,152,336,443,691,000,015,171,070,075,722,643,
569,295,580,730,150,531,711,928,518,692,463,784,261,274,994,976,476,740,246,
869,871,623,940,820,462,126,950,175,773,303,399,686,507,214,600,350,949,123,
029,947,027,161,627,461,235,470,308,434,264,450,625,978,035,793,836,670,976,
895,878,566,855,757,695,331,294,203,910,152,328,270,540,666,690,625,137,605,
191,377,830,166,791,039,663,583,899,035,594,355,971,379,807,108,177,641,452,
178,409,382,812,628,738,063,563,086,307,086,796,921,543,460,231,152,498,884,
063,061,592,215,133,058,098,351,310,755,456,828,883,354,083,777,566,152,276,
058,458,686,602,381,023,711,140,218,339,522,196,707,146,674,192,382,672,229,
499,715,198,464,441,751,653,134,811,356,809,002,717,177,627,063,765,191,256,
473,166,674,317,704,875,563,323,282,712,598,495,314,176,115,922,275,316,380,
407,477,581,548,726,035,581,084,302,188,979,655,240,953,599,135,615,901,905,
662,490,585,124,868,601,815,777,484,836,385,406,462,914,447,643,934,733,933,
574,975,894,543,494,022,661,283,975,179,587,892,040,863,390,682,715,983,697,
247,236,331,177,752,269,601,187,436,019,372,852,214,510,016,904,668,197,051,
987,397,800,033,510,534,984,575,452,748,495,229,658,143,097,428,788,549,419,
003,832,297,268,529,291,856,992,621,226,794,668,312,823,090,633,182,540,920,
828,247,523,317,976,884,444,809,643,700,450,259,037,660,486,926,411,846,898,
470,186,177,744,241,973,662,554,786,633,107,760,842,188,928,413,358,131,925,
740,888,347,805,005,875,769,024,553,492,021,280,783,494,816,391,389,673,786,
137,931,455,934,659,353,914,924,507,600,513,181,238,462,374,302,666,624,475,
624,306,582,458,276,012,326,564,188,904,107,287,750,492,756,340,271,799,330,
449,128,841,436,414,697,790,850,242,711,308,570,443,261,802,593,483,379,708,
712,989,327,940,171,220,696,378,967,495,776,171,755,606,278,605,090,590,350,
605,001,296,182,203,521,863,229,488,015,871,223,321,572,956,968,950,422,781,
533,562,898,692,366,692,202,428,251,674,795,668,663,627,775,794,387,988,278,
834,919,303,055,220,364,199,762,222,049,286,357,117,050,138,676,616,338,954,
037,966,644,399,257,114,189,042,461,996,710,386,719,252,231,615,887,300,617,
811,143,636,457,460,816,870,652,312,245,320,667,645,614,093,866,383,827,194,
981,343,092,040,038,686,582,081,715,171,751,525,198,543,886,482,051,490,405,
854,550,630,115,868,412,283,441,769,751,802,201,330,161,644,018,676,115,425,
005,232,678,187,792,618,009,059,920,350,832,660,534,195,368,962,923,185,846,
324,364,320,059,159,057,930,576,917,857,989,878,492,417,986,946,231,721,888,
499,747,967,828,560,837,531,613,648,283,412,540,153,142,169,478,060,550,793,
962,937,400,029,234,069,310,648,528,914,981,261,849,819,355,298,812,198,019,
718,153,336,056,846,276,899,785,316,620,226,341,828,917,862,596,361,503,509,
661,672,312,529,140,996,726,771,529,165,632,318,781,414,151,202,409,031,604,
881,790,317,080,117,390,019,095,974,951,521,322,178,274,503,913,633,574,069,
602,655,068,410,449,966,417,576,952,146,525,554,028,904,262,826,700,545,669,
678,424,460,901,023,866,602,038,438,069,993,154,283,437,188,156,741,051,298,
301,532,446,049,360,060,146,633,713,365,091,646,045,892,170,856,699,353,477,
201,413,639,993,598,767,768,577,780,474,220,949,218,442,249,987,662,975,745,
338,279,107,506,731,195,036,945,905,435,996,686,120,768,619,700,385,428,210,
279,820,417,297,748,724,297,845,108,084,571,656,335,760,698,591,899,428,432,
894,922,296,806,174,328,019,577,481,565,159,982,641,367,102,344,171,394,669,
548,896,921,993,898,768,694,217,979,915,038,210,676,101,417,780,923,241,898,
286,021,221,500,681,397,748,305,018,924,749,096,879,362,605,550,906,875,283,
049,167,038,980,966,304,863,204,088,201,279,229,571,761,182,867,481,076,924,
504,791,658,193,341,840,873,491,721,618,122,150,700,913,486,973,735,362,490,
141,601,610,583,876,280,026,821,066,608,263,298,108,098,538,860,629,373,795,
398,786,309,586,216,930,637,017,195,315,008,665,007,429,546,583,821,641,718,
412,786,002,200,313,730,634,669,880,145,020,137,019,296,558,530,361,126,569,
567,121,238,827,906,586,340,058,092,230,602,466,634,025,568,646,681,918,928,
062,185,158,966,951,835,777,205,028,010,833,695,366,403,889,109,286,373,385,
294,608,592,724,379,927,041,762,871,079,469,639,148,118,465,358,067,426,280,
364,154,071,540,738,404,807,666,067,687,281,613,200,028,213,005,320,345,868,
359,280,924,351,476,038,650,771,084,872,497,938,922,892,580,429,004,845,792,
067,858,737,942,853,702,855,772,000,458,831,266,818,596,998,074,300,266,275,
562,775,601,709,426,621,248,534,412,122,943,888,982,409,613,636,366,792,277,
042,379,851,342,947,053,356,195,401,544,030,182,779,795,563,611,142,965,567,
601,712,392,153,476,811,444,131,059,904,457,729,575,121,716,167,715,637,886,
664,930,492,020,139,676,990,633,472,106,825,856,034,014,385,814,768,645,839,
282,094,407,952,919,579,015,305,014,622,519,717,422,936,343,589,289,840,834,
001,421,984,288,075,190,167,251,617,757,223,541,787,135,650,074,166,702,309,
772,103,157,405,932,965,387,777,228,989,147,914,202,871,839,661,382,083,450,
307,296,414,298,738,302,472,522,077,705,292,716,546,012,577,141,824,190,699,
971,637,042,727,514,416,396,167,207,150,939,951,549,138,197,682,736,922,153,
927,880,934,706,584,537,738,424,287,922,525,744,242,435,088,067,417,460,120,
198,110,802,884,175,654,597,770,778,533,672,602,950,019,319,751,495,389,375,
458,790,515,937,372,469,727,404,721,145,410,745,154,496,381,696,144,855,510,
985,511,834,164,086,226,052,560,584,273,048,609,566,287,040,225,007,191,940,
686,696,729,310,618,982,080,049,522,371,882,520,658,867,829,579,876,663,819,
300,607,873,311,492,570,222,277,980,287,986,995,092,548,416,273,571,238,660,
713,349,391,520,246,200,687,150,193,533,844,373,324,389,905,219,832,580,460,
829,798,709,941,508,713,980,469,436,384,791,651,529,832,725,913,437,853,580,
713,116,252,317,581,449,092,070,335,141,559,682,486,878,133,684,199,243,151,
720,947,086,903,114,230,020,438,839,621,346,800,934,886,444,660,252,290,207,
887,584,512,553,887,849,727,898,170,615,305,794,346,288,664,441,703,042,927,
012,584,766,438,848,366,294,453,178,322,942,098,974,018,884,212,603,411,205,
075,027,256,852,494,541,897,107,229,211,419,866,305,642,521,693,662,612,925,
317,739,560,722,080,138,107,947,607,026,443,711,490,370,746,799,084,036,897,
621,822,304,200,701,197,376,679,392,884,343,570,138,491,943,925,702,547,478,
374,528,068,121,903,240,861,800,352,871,706,785,828,072,065,555,538,728,061,
622,030,749,061,231,279,794,879,295,396,953,313,099,345,014,472,098,124,719,
755,163,847,175,419,204,124,320,331,768,063,062,401,751,618,178,373,399,412,
654,680,573,043,397,732,701,041,463,243,186,301,338,557,863,175,024,379,025,
789,211,010,847,385,768,480,687,404,551,122,585,709,961,163,311,189,653,513,
691,737,303,415,692,205,211,913,747,394,340,660,607,177,906,134,525,571,091,
103,738,816,558,767,683,944,311,648,455,020,931,730,062,145,369,680,489,364,
229,862,890,843,063,390,823,350,564,405,280,757,935,774,835,487,340,902,173,
784,656,070,330,009,378,943,667,250,978,108,216,978,661,148,091,367,811,385,
218,310,882,292,796,066,142,388,586,601,343,235,214,302,790,120,236,552,553,
736,466,935,646,140,549,370,958,813,113,125,892,199,841,015,606,020,504,585,
000,612,684,537,276,156,139,696,390,619,385,297,982,887,322,175,516,110,764,
847,281,402,977,547,454,543,800,270,834,896,952,316,885,538,745,740,217,316,
895,398,945,028,007,189,182,277,364,121,731,650,422,889,510,456,735,157,066,
120,811,769,755,667,079,227,933,925,135,150,797,408,621,830,937,683,813,105,
802,583,268,889,537,200,206,289,538,676,403,347,288,231,464,375,286,088,806,
131,123,079,197,089,950,131,365,237,309,236,785,475,538,381,771,165,220,937,
049,207,624,829,973,598,389,989,269,837,463,390,610,678,717,233,290,828,436,
130,806,050,349,697,640,995,716,351,452,573,251,198,932,627,855,944,324,542,
077,963,865,430,277,729,488,283,690,677,784,305,986,902,532,319,005,157,944,
826,927,828,468,733,411,355,782,115,292,020,854,004,863,942,054,555,487,271,
286,970,730,194,915,461,254,724,077,912,193,844,751,413,924,052,227,611,719,
167,445,063,900,525,792,217,722,805,344,839,188,276,010,716,560,072,932,213,
262,598,905,878,986,484,821,511,487,701,670,577,954,110,532,390,470,041,756,
280,877,804,574,486,798,407,989,944,942,898,023,046,433,648,605,641,640,354,
358,633,956,186,233,434,647,691,974,081,492,614,047,278,035,632,958,790,496,
736,205,863,947,520,724,660,683,624,508,268,819,573,604,023,244,974,638,855,
874,685,152,599,581,570,801,668,209,090,431,475,906,080,478,383,481,135,579,
587,271,931,090,142,783,514,518,669,951,903,447,617,291,915,812,939,385,857,
656,343,291,134,680,444,753,781,187,748,751,276,422,764,626,462,173,131,058,
443,570,410,740,459,120,209,237,028,540,572,538,800,463,405,302,447,378,564,
131,519,535,660,473,417,499,491,682,910,681,142,992,035,563,206,894,796,233,
200,455,695,372,892,991,806,613,678,159,288,248,128,445,117,523,035,601,588,
295,263,959,551,575,067,260,394,182,863,325,628,377,216,473,782,850,055,056,
414,381,638,909,273,616,752,761,202,407,539,982,138,458,151,851,858,752,824,
234,127,754,496,290,467,452,302,269,258,231,844,710,910,272,575,360,449,061,
662,594,481,837,003,526,020,069,052,822,429,373,983,466,743,727,823,001,810,
428,319,361,184,026,994,515,280,671,359,228,691,479,067,418,459,920,686,743,
267,570,486,401,693,663,034,297,707,850,058,006,583,435,372,363,394,936,633,
331,659,264,132,506,381,910,093,710,568,091,107,042,763,589,590,831,137,006,
325,340,105,172,690,433,519,383,510,265,065,420,143,526,071,854,683,526,927,
160,919,531,490,039,612,121,491,341,734,429,636,880,165,577,508,619,868,612,
208,232,969,956,306,722,785,682,630,131,043,508,523,278,160,892,397,309,870,
194,226,749,981,573,960,249,322,345,645,671,641,166,674,745,777,365,554,460,
589,613,687,365,648,180,273,932,682,187,259,319,900,712,197,703,910,577,630,
921,656,197,189,726,944,427,362,602,592,510,824,874,938,478,201,102,225,654,
164,689,950,891,688,623,201,818,500,291,929,064,195,396,779,432,558,838,459,
070,868,786,453,323,931,363,845,661,426,160,284,415,579,655,006,601,488,378,
273,583,322,113,603,156,582,480,864,737,404,978,897,193,028,528,910,813,095,
189,171,046,470,684,652,232,675,730,446,955,303,775,902,884,576,807,101,426,
701,175,729,836,754,528,510,411,747,115,870,796,444,303,180,480,943,695,897,
019,326,216,261,715,711,402,636,279,522,001,140,183,160,434,753,593,551,197,
029,405,448,120,611,744,417,094,637,236,189,543,449,160,690,027,733,912,014,
175,418,197,201,084,934,491,482,224,800,688,754,387,959,235,456,268,363,215,
851,783,158,468,336,969,510,623,620,809,744,151,676,583,857,415,667,635,316,
454,053,337,636,727,189,402,074,336,551,744,885,320,132,361,428,820,489,111,
568,256,422,754,826,848,104,066,562,847,314,291,123,689,677,554,322,880,879,
446,818,558,623,164,374,588,938,252,444,337,007,995,301,154,841,555,422,603,
355,786,892,827,431,805,595,219,875,391,988,371,713,667,929,672,783,646,547,
614,334,010,084,663,185,342,659,162,663,923,140,346,044,666,744,645,887,779,
033,391,672,854,701,498,237,777,541,994,815,283,529,225,598,561,160,159,023,
710,096,241,709,977,926,650,516,189,507,106,398,530,203,446,750,385,188,109,
527,321,329,088,440,081,500,550,102,052,442,372,451,498,521,887,391,468,266,
210,432,839,335,548,380,588,566,528,242,252,391,440,809,823,317,528,637,265,
113,642,337,633,384,562,718,449,721,580,461,660,541,412,770,039,282,812,487,
407,992,446,589,519,122,831,354,788,586,139,253,612,754,741,480,085,782,369,
958,966,845,346,686,083,202,256,105,379,461,879,894,362,512,096,512,040,959,
571,417,009,940,404,392,656,510,253,030,058,973,683,790,359,048,642,074,201,
520,144,244,763,788,750,746,410,463,355,077,591,355,473,596,800,500,487,031,
619,679,762,652,847,918,699,032,455,031,216,278,106,288,943,390,642,758,664,
347,926,354,582,477,927,269,813,407,218,905,438,773,570,672,152,446,570,250,
035,339,478,152,772,689,512,141,747,175,235,403,048,189,062,861,684,345,167,
658,454,930,818,166,362,575,365,141,889,866,273,048,666,711,814,640,253,042,
785,830,886,757,680,195,649,668,549,861,892,499,132,496,897,926,531,602,504,
526,551,083,762,737,543,682,319,198,095,296,277,196,489,976,792,103,046,475,
171,331,196,981,913,029,610,742,362,522,677,233,359,814,663,642,018,802,811,
480,108,990,907,733,906,056,407,351,695,981,720,118,501,919,848,886,314,627,
092,617,022,542,366,384,917,404,651,225,351,736,059,194,541,004,651,404,805,
056,204,891,989,083,641,161,272,905,570,618,154,068,203,785,218,125,654,948,
204,794,796,174,522,018,640,468,105,859,672,208,920,117,961,438,592,236,135,
898,637,115,851,313,665,736,001,296,349,198,023,006,989,619,828,899,625,322,
914,543,623,892,422,401,061,798,746,457,234,506,466,440,406,469,237,294,477,
904,142,333,639,820,551,655,146,616,667,914,348,905,582,678,080,583,613,728,
633,337,931,750,885,503,046,999,062,355,797,591,748,072,006,502,153,601,684,
933,251,357,240,057,712,280,925,596,935,137,395,643,404,501,445,797,113,782,
027,855,930,563,118,629,383,578,181,676,721,805,671,737,312,944,072,421,486,
549,384,811,080,727,305,497,435,022,049,485,114,607,183,074,944,986,577,059,
495,704,367,933,600,185,939,182,628,646,799,742,466,543,570,837,310,030,036,
876,361,052,431,261,105,108,421,732,853,380,650,699,662,479,832,483,496,227,
831,644,647,009,131,105,978,429,818,874,971,235,159,965,644,434,946,995,869,
513,172,225,054,902,500,264,210,154,768,810,505,077,229,795,516,685,438,163,
796,930,714,261,201,884,490,285,715,406,945,753,531,377,704,882,698,783,887,
376,848,006,178,380,143,001,506,789,695,043,477,808,007,317,775,184,707,254,
378,652,297,461,891,940,975,639,802,910,527,245,982,958,825,384,793,214,248,
163,128,006,323,732,761,701,822,887,691,263,314,212,258,817,464,250,551,654,
960,336,671,843,928,740,364,918,791,471,688,056,310,059,212,371,206,139,742,
466,210,579,174,484,409,548,857,206,099,683,797,951,768,114,891,637,665,901,
931,787,556,085,869,711,822,798,442,282,223,354,222,746,738,146,854,746,263,
053,148,226,590,175,273,803,742,806,957,636,105,077,001,574,582,547,564,993,
875,378,128,386,436,035,517,347,627,130,775,838,705,167,279,476,188,206,923,
139,105,660,055,236,714,500,605,927,357,733,826,108,467,298,607,947,125,182,
241,272,722,321,407,326,236,702,428,938,606,603,381,193,924,682,495,793,302,
803,656,819,626,445,520,032,876,215,312,894,020,328,601,960,653,996,962,304,
401,417,393,413,575,677,942,784,690,718,571,978,330,161,812,951,390,929,105,
048,437,163,076,307,334,421,584,295,142,565,185,399,180,362,169,331,271,607,
876,151,059,113,214,710,489,874,914,929,463,307,201,594,920,443,597,456,723,
652,330,657,625,738,486,336,273,232,219,004,333,291,984,778,532,860,719,083,
158,273,304,837,357,976,343,826,413,119,586,100,526,252,325,011,783,568,354,
576,919,053,027,023,413,041,938,396,773,276,524,829,212,347,927,256,291,897,
653,093,466,776,212,630,312,833,264,345,788,721,276,396,478,891,208,688,780,
407,266,561,480,695,359,421,816,438,530,530,154,186,517,159,168,402,001,828,
691,148,114,537,331,254,129,034,153,820,102,884,647,649,741,074,636,516,641,
886,982,696,643,606,217,324,500,335,894,873,795,402,663,620,411,705,752,620,
623,836,158,117,897,095,009,359,838,478,125,694,482,916,006,498,587,293,983,
685,731,856,662,840,123,379,574,940,999,404,409,288,648,530,565,446,675,177,
656,310,824,670,562,737,270,140,022,378,453,893,586,792,851,007,830,714,915,
586,946,737,298,413,895,008,695,212,460,820,363,216,839,202,813,063,217,910,
960,628,266,573,383,973,009,450,384,722,814,185,434,012,293,226,222,357,630,
618,828,727,030,484,368,205,636,920,417,403,068,430,127,286,279,573,909,891,
536,043,962,082,837,594,897,669,573,627,652,503,210,701,271,196,114,912,342,
736,523,976,992,980,285,846,592,240,380,603,211,114,919,965,618,728,300,300,
742,855,204,955,000,932,343,990,291,182,278,434,956,217,205,634,063,815,846,
796,050,200,154,015,370,637,586,314,655,440,312,894,304,458,823,650,955,134,
528,648,331,231,729,561,957,046,752,440,313,885,522,850,722,744,263,288,682,
753,885,521,756,200,292,661,117,674,285,229,943,339,348,708,423,248,120,826,
339,945,410,932,720,069,432,527,427,124,800,150,001,120,115,595,573,877,990,
791,362,231,625,049,580,550,585,469,386,242,885,905,407,551,801,450,590,647,
688,947,778,664,886,116,692,982,295,631,618,354,954,245,935,797,920,139,003,
944,243,399,202,194,311,351,975,659,487,396,645,976,418,630,816,423,669,411,
290,524,896,544,872,467,090,102,920,119,948,702,321,746,800,616,545,384,648,
187,730,652,467,869,374,420,111,543,186,262,008,671,979,046,079,684,276,680,
665,450,702,973,592,111,701,226,103,324,752,039,844,000,898,751,125,139,326,
876,435,386,082,202,174,965,142,140,023,480,639,341,545,397,262,133,653,986,
789,618,842,617,249,427,733,749,574,477,269,047,256,840,080,900,077,578,842,
569,121,914,676,117,003,724,563,997,878,182,202,257,044,797,769,298,362,437,
864,372,269,246,219,146,361,793,070,656,543,326,172,231,002,265,558,315,375,
055,875,438,793,662,174,780,562,936,895,689,845,579,556,539,472,156,306,940,
037,770,888,475,691,557,501,722,905,737,606,305,101,815,843,185,287,077,901,
008,477,052,628,096,368,441,351,248,698,193,902,094,259,746,552,472,596,332,
787,720,359,694,619,168,647,936,164,022,128,629,458,255,921,056,965,656,545,
829,604,720,289,860,458,101,623,852,386,780,459,226,824,592,907,029,622,796,
015,223,940,578,594,466,046,804,571,389,840,249,426,272,436,573,638,009,865,
560,257,821,169,363,193,323,809,074,633,246,196,347,349,152,795,421,578,292,
255,109,207,049,643,089,402,108,450,907,752,890,906,122,440,950,219,244,041,
919,664,770,198,575,477,817,863,338,803,069,709,420,379,283,602,107,896,836,
725,880,520,344,794,037,343,442,727,750,032,286,576,927,375,274,833,145,342,
684,355,537,242,732,996,314,182,238,286,496,741,409,641,431,092,600,966,923,
503,351,921,059,680,059,519,812,571,268,196,935,299,898,570,239,855,808,754,
309,542,604,484,468,859,449,308,242,127,346,222,521,556,872,435,399,603,845,
244,345,185,315,416,650,574,227,944,490,109,174,453,390,561,170,433,685,145,
782,610,030,213,264,759,934,933,566,623,247,937,345,099,832,857,607,366,472,
910,786,280,161,599,697,809,817,511,581,146,547,692,536,817,113,115,789,807,
501,636,532,198,869,928,321,504,080,447,884,374,851,104,274,934,907,493,742,
679,564,247,774,895,205,597,669,770,806,002,625,722,081,435,876,198,190,984,
073,521,723,188,690,742,336,208,801,020,743,045,649,558,279,242,076,868,814,
649,836,787,354,799,246,399,529,239,991,669,577,540,614,184,644,068,796,921,
110,578,803,431,211,432,447,745,046,115,298,813,550,475,769,751,099,851,704,
949,625,909,556,501,571,955,359,162,338,533,254,717,601,455,762,785,443,465,
517,718,517,340,625,465,974,386,806,828,078,939,988,605,993,864,060,541,381,
646,255,497,624,667,246,907,842,554,634,324,786,122,049,709,471,705,250,657,
673,334,296,207,182,748,377,725,741,905,716,016,947,318,893,132,533,620,133,
721,300,783,196,513,048,151,988,687,017,713,739,813,258,843,774,928,933,078,
989,693,951,305,389,090,611,592,671,886,222,714,879,357,078,727,757,196,624,
979,714,218,878,230,127,677,932,052,094,196,598,062,823,678,239,483,688,205,
135,663,858,013,904,530,158,710,936,050,795,899,439,658,696,583,364,812,690,
231,470,290,332,701,959,251,933,906,115,720,741,894,497,834,088,126,785,708,
761,547,744,163,154,886,826,278,332,680,704,022,418,877,362,713,208,725,391,
174,267,238,260,933,525,421,132,487,546,830,472,231,730,938,497,495,588,250,
879,130,923,829,580,681,421,096,997,150,380,583,535,753,228,361,127,376,282,
960,899,288,761,117,026,885,156,892,447,104,197,063,760,541,698,719,721,690,
677,229,033,547,627,775,072,113,834,812,664,042,106,189,947,221,506,072,466,
565,468,272,804,434,999,045,707,991,657,282,247,553,197,174,738,960,373,009,
055,436,497,760,212,794,100,027,949,113,723,558,391,753,973,580,202,932,758,
580,971,667,066,182,121,926,664,148,371,342,702,926,199,996,827,904,754,838,
782,734,231,156,370,219,312,533,053,258,292,890,753,602,239,397,957,695,201,
072,244,359,955,590,207,537,437,228,682,207,248,545,998,684,299,728,588,863,
445,600,931,760,604,397,072,511,294,504,318,084,100,641,000,124,115,884,964,
982,359,418,223,701,052,631,327,340,746,740,501,141,720,373,564,363,044,160,
247,090,067,576,926,636,904,928,954,045,131,171,331,966,354,904,491,296,286,
707,489,797,058,763,417,730,394,975,333,502,750,804,761,345,586,379,314,269,
067,150,717,270,103,698,095,506,300,715,138,915,716,044,937,419,134,008,039,
746,736,125,424,947,702,643,587,923,181,634,859,229,849,251,383,780,528,741,
714,409,073,329,420,352,964,379,570,974,903,824,535,648,912,334,065,318,933,
941,070,386,776,032,401,400,268,571,213,743,100,035,446,266,306,824,700,161,
795,854,947,449,814,946,507,554,992,660,829,234,181,751,571,232,279,121,111,
802,907,245,372,940,643,247,442,014,195,250,367,521,998,723,573,257,464,477,
715,706,688,871,754,550,152,807,082,991,852,425,173,903,685,078,279,989,791,
216,926,052,246,053,663,942,032,151,631,764,232,440,620,909,716,364,592,277,
261,050,433,029,869,202,710,197,266,456,441,991,294,279,808,554,454,453,170,
104,943,202,717,494,195,257,060,685,746,018,885,726,613,682,519,520,613,806,
419,336,293,810,008,312,562,121,338,489,258,660,637,336,270,252,077,311,074,
862,379,436,988,463,408,562,300,420,921,703,120,303,528,112,132,828,087,933,
236,887,212,841,593,047,489,134,222,705,699,035,353,129,211,664,252,314,513,
339,600,037,931,117,260,728,733,214,865,250,770,876,821,242,582,973,007,116,
939,922,029,649,804,528,087,570,178,528,046,669,715,119,506,800,449,042,566,
459,832,217,657,309,219,379,593,749,870,900,618,876,742,546,346,098,181,857,
547,895,732,478,033,083,114,161,412,732,127,694,384,648,098,895,416,587,025,
871,240,971,059,965,864,368,924,971,027,673,805,730,764,735,983,491,018,097,
292,347,759,483,210,377,630,108,889,529,784,947,307,634,103,977,649,339,080,
636,616,907,428,755,608,543,093,583,095,970,757,732,526,219,894,608,878,228,
082,799,133,827,343,342,447,179,134,914,258,640,047,631,913,148,791,325,417,
603,734,767,771,933,601,033,009,407,279,451,858,582,287,459,703,949,982,624,
313,497,340,764,598,682,950,232,118,991,013,375,972,468,739,292,022,704,370,
604,217,586,500,819,495,746,324,232,522,411,829,310,504,206,756,792,301,568,
537,853,081,717,837,898,378,297,296,842,604,296,373,806,423,913,548,258,502,
415,771,203,654,694,989,355,932,431,502,200,002,831,628,674,380,872,971,899,
271,686,256,447,796,267,057,662,317,225,608,155,766,482,242,593,501,126,737,
768,579,638,750,997,669,527,765,383,414,852,360,231,961,199,496,115,314,746,
617,745,520,718,609,934,372,561,571,811,138,187,355,307,497,660,507,947,084,
200,924,758,986,615,344,414,070,907,019,128,340,123,134,025,332,843,735,008,
051,664,853,733,721,477,091,427,745,967,766,283,756,620,616,804,276,241,063,
085,920,340,116,724,002,840,249,024,414,710,561,570,493,096,119,447,336,822,
315,879,901,700,501,185,980,802,483,252,839,271,281,336,670,965,137,422,051,
489,327,713,709,407,187,621,987,536,516,477,476,164,064,685,650,292,278,968,
979,292,931,161,503,546,438,203,884,244,847,208,280,466,206,223,448,237,223,
695,599,630,518,088,727,778,561,958,108,867,899,699,431,786,040,242,438,290,
226,976,598,154,205,022,215,540,952,634,384,614,022,046,306,175,941,355,582,
107,744,227,447,258,862,037,237,947,583,656,956,543,003,368,321,210,389,376,
960,380,062,822,492,821,154,822,367,403,216,667,289,655,936,153,120,889,961,
536,821,672,767,063,360,305,413,737,065,677,792,804,162,496,813,278,240,337,
342,287,528,398,154,528,640,761,592,315,189,316,317,600,372,406,363,818,405,
366,371,484,893,500,394,679,152,613,337,962,032,228,343,160,719,485,427,921,
914,714,476,264,539,548,387,525,107,411,953,639,301,471,721,268,260,574,266,
942,909,459,618,976,266,722,805,278,423,096,094,115,781,276,070,665,966,885,
693,724,502,710,214,912,330,836,861,751,418,869,203,516,778,996,489,732,276,
693,573,435,773,197,978,425,013,564,315,124,412,855,764,378,214,069,377,096,
063,676,945,912,235,063,410,447,050,771,306,556,832,619,051,278,002,213,368,
035,508,748,361,571,604,659,026,898,627,711,255,856,619,623,966,818,943,672,
372,511,631,838,912,778,460,271,494,921,314,101,134,697,947,373,017,234,250,
117,641,921,043,740,863,829,760,817,253,106,945,475,593,307,982,756,689,244,
051,587,621,523,024,046,008,087,115,743,848,955,917,076,435,996,093,864,319,
617,129,597,134,731,938,502,487,182,517,923,307,828,576,957,387,567,367,455,
736,167,545,674,501,772,602,647,530,563,731,129,253,940,779,395,176,352,042,
914,952,971,906,748,622,214,412,169,690,279,615,050,414,996,628,157,355,259,
096,436,517,892,930,465,184,676,453,907,186,343,719,921,307,185,244,864,145,
956,089,987,441,825,344,735,431,857,029,283,450,906,051,681,228,379,412,723,
129,483,398,603,754,134,100,107,544,676,843,236,786,104,467,960,054,265,253,
206,011,880,971,027,043,220,622,339,892,223,504,815,038,589,633,993,489,420,
511,527,734,176,418,539,765,649,337,489,749,440,651,298,428,016,663,731,370,
121,912,920,569,063,961,664,852,871,511,046,213,650,266,738,049,146,155,827,
557,974,259,006,872,652,110,796,268,180,016,473,301,538,333,610,464,059,726,
423,452,927,879,309,586,577,961,837,537,857,529,873,214,695,841,415,892,795,
204,686,213,167,533,240,992,210,426,493,695,510,685,514,193,762,479,574,624,
357,621,991,827,097,743,853,654,250,732,288,001,882,686,094,569,956,385,612,
483,582,594,563,763,104,544,253,991,509,268,780,293,060,860,729,086,163,443,
927,940,041,042,615,266,138,250,443,448,159,055,243,400,453,086,663,054,901,
562,885,262,228,586,649,413,582,734,043,299,634,209,095,714,820,335,407,905,
983,472,960,234,381,385,095,494,074,950,261,077,444,649,555,869,162,209,774,
559,720,229,386,958,121,132,327,993,499,245,091,195,479,691,576,081,942,273,
109,049,639,144,184,647,828,587,799,987,443,497,495,568,969,563,055,774,322,
265,168,395,844,460,961,978,009,918,590,369,885,330,227,236,116,046,679,352,
680,356,728,147,598,380,816,867,149,715,860,511,985,818,700,523,843,402,956,
663,380,144,799,691,151,202,784,801,035,129,607,739,248,070,565,519,457,216,
375,988,570,838,165,443,583,999,253,205,663,702,087,658,542,879,329,763,515,
539,948,142,212,425,763,796,480,878,755,475,014,391,721,202,929,133,179,878,
820,297,914,892,834,915,500,466,788,809,464,963,297,907,768,336,102,318,586,
342,919,764,706,489,147,426,013,626,371,634,424,681,477,745,663,141,776,295,
090,209,893,409,882,862,962,062,728,037,931,085,383,409,518,200,618,341,115,
981,760,154,933,424,730,036,220,466,304,778,709,701,360,288,815,336,171,065,
332,853,347,962,235,908,593,916,829,816,953,163,520,295,518,324,793,012,052,
724,793,026,666,965,438,145,909,902,539,225,360,548,332,063,695,400,449,041,
391,180,606,578,768,416,680,530,528,906,089,765,305,256,227,106,733,176,317,
003,805,251,741,979,900,230,573,387,539,332,204,530,785,479,349,051,854,832,
924,698,309,278,026,553,486,060,438,175,066,947,470,341,954,577,608,712,585,
459,734,799,788,111,676,716,400,445,951,951,581,807,853,750,021,165,838,082,
686,965,136,419,672,276,315,700,144,993,298,601,445,638,065,294,650,568,651,
838,348,107,180,100,869,293,078,940,662,009,437,346,649,062,979,536,166,079,
718,139,103,591,736,994,916,793,132,574,435,547,624,254,261,058,959,332,422,
015,960,884,560,422,197,902,077,350,784,525,153,192,257,102,837,030,775,859,
303,321,417,159,624,782,963,342,117,223,758,569,494,071,614,420,791,206,705,
579,077,544,749,085,792,461,823,836,127,434,119,993,788,073,143,347,655,318,
894,065,171,267,478,465,307,290,384,719,856,808,832,239,709,989,109,976,189,
956,660,504,448,750,334,120,161,095,032,410,130,606,340,356,501,919,026,662,
933,493,519,037,846,698,214,787,844,762,417,214,134,652,160,795,992,463,770,
266,331,790,617,162,963,158,063,841,588,293,925,362,957,747,209,314,337,321,
660,742,636,958,842,024,823,324,923,039,737,940,276,442,669,259,503,737,850,
437,154,612,967,153,814,950,506,121,225,190,221,372,816,521,248,090,729,591,
818,167,352,485,518,315,703,004,433,825,162,447,252,579,956,569,750,548,276,
967,138,093,014,253,965,548,891,566,389,806,061,328,854,319,001,702,643,558,
287,333,722,961,409,424,308,671,683,147,607,147,638,590,686,806,209,083,320,
110,011,469,734,572,346,335,618,856,598,529,978,231,440,638,290,734,578,673,
253,969,073,112,465,325,272,432,547,294,647,135,455,690,784,993,065,375,204,
435,757,138,398,543,986,616,599,673,820,068,518,452,710,626,397,039,360,799,
980,394,638,713,811,239,296,429,299,131,909,727,473,533,514,794,108,513,277,
469,457,360,500,437,258,077,149,119,148,950,247,305,001,962,778,919,641,865,
378,325,818,219,707,720,393,718,034,952,621,507,768,247,041,848,013,278,360,
956,924,134,015,121,370,320,697,014,412,829,115,054,143,398,961,723,449,251,
662,371,546,053,957,301,351,878,435,466,441,321,917,416,887,646,184,803,961,
863,514,646,274,811,391,657,592,796,866,101,133,847,719,233,479,589,129,694,
389,185,395,680,177,448,588,584,492,058,535,475,238,222,715,620,690,409,072,
272,410,738,072,649,784,426,461,523,158,845,579,719,143,513,119,345,398,175,
270,572,142,601,845,584,767,217,993,029,423,108,383,229,440,781,572,477,594,
984,620,177,026,035,212,546,786,189,467,085,255,552,901,835,364,925,210,921,
910,581,905,932,261,328,141,395,193,852,944,316,572,562,262,637,640,472,550,
970,269,613,474,430,800,100,810,282,888,646,838,451,676,685,536,494,724,331,
917,817,778,545,213,995,065,014,250,326,364,876,470,620,801,235,934,023,704,
165,392,780,207,132,390,989,935,714,569,610,765,786,177,457,121,096,265,675,
928,216,354,750,507,395,166,345,016,357,417,942,201,476,704,020,597,744,018,
759,936,967,935,456,035,393,311,340,933,359,121,103,707,522,878,599,800,956,
979,875,919,231,199,709,499,166,937,369,229,793,680,743,066,961,945,339,381,
854,925,673,612,892,860,734,641,508,474,080,567,225,825,638,546,822,258,021,
730,788,664,148,723,667,927,154,643,279,835,513,790,396,912,017,831,789,995,
935,541,905,901,425,195,186,814,131,386,333,937,780,519,878,123,188,713,163,
481,007,057,672,147,209,297,815,973,773,937,629,897,170,647,455,255,564,142,
541,393,566,108,484,188,703,113,006,823,456,156,646,349,929,263,856,571,330,
702,050,640,814,884,208,907,380,519,186,174,246,225,459,698,990,961,976,340,
697,591,757,535,346,737,154,564,500,521,949,001,960,512,163,043,237,466,506,
338,733,148,429,289,354,545,260,877,269,996,973,014,437,854,091,970,505,717,
383,883,961,125,912,408,238,663,380,053,749,798,729,945,092,526,841,971,851,
871,236,839,553,536,303,045,782,026,529,797,789,041,429,961,722,020,301,595,
076,017,370,821,135,532,502,440,874,729,712,569,451,041,127,954,137,118,176,
390,992,334,270,844,058,559,345,272,296,861,167,438,099,284,012,882,929,864,
406,445,328,754,895,809,920,104,350,148,398,440,486,259,124,616,569,438,518,
966,340,268,068,107,583,134,270,969,962,830,993,837,854,258,421,921,311,217,
634,416,524,799,344,506,333,601,514,547,723,152,478,241,649,702,377,139,844,
616,213,246,935,748,662,846,266,978,233,997,024,547,680,581,396,512,079,632,
712,366,664,279,797,630,258,315,980,045,021,849,149,843,461,316,323,760,694,
404,812,679,824,731,375,064,062,061,752,048,911,836,214,100,439,846,937,818,
136,538,067,205,587,833,502,748,020,869,718,024,075,566,500,894,774,842,049,
314,371,328,425,969,099,241,206,107,453,400,844,913,703,829,164,737,253,594,
355,550,905,117,667,447,737,856,900,939,706,949,925,153,164,323,537,724,800,
974,306,020,509,207,660,567,555,438,254,087,470,832,841,026,134,199,497,650,
049,180,879,355,730,891,615,088,684,780,242,783,294,859,651,290,627,381,747,
639,353,499,607,714,467,515,126,077,484,036,920,872,756,419,368,057,887,543,
539,688,609,024,006,253,736,201,336,781,434,401,981,476,903,336,812,533,969,
524,766,010,699,002,943,577,270,547,088,613,554,235,526,991,026,652,564,070,
507,711,725,839,546,357,123,727,437,317,161,485,295,609,448,482,739,647,938,
535,041,286,832,107,383,516,271,102,769,494,524,983,525,479,097,384,533,242,
484,313,383,404,747,537,713,803,352,579,531,355,625,854,150,746,785,065,518,
195,179,866,924,974,766,521,086,358,478,428,842,824,220,870,539,794,673,684,
352,639,958,697,026,838,679,615,263,415,465,018,007,062,773,186,389,184,134,
317,671,847,643,818,687,759,484,135,574,021,152,107,495,988,614,590,911,568,
570,427,221,121,520,746,663,265,659,201,166,629,712,335,236,048,002,209,386,
287,186,675,623,074,128,007,200,806,145,671,313,551,877,948,558,799,446,435,
603,800,090,200,101,083,165,213,751,912,197,478,096,594,035,782,453,357,230,
201,808,690,679,211,235,695,695,474,812,023,773,097,004,608,646,709,724,539,
693,823,294,298,347,779,049,325,627,620,574,037,684,324,864,570,296,051,693,
276,113,838,701,647,525,914,834,536,437,643,516,159,599,799,170,691,696,459,
750,764,277,681,497,266,121,641,119,598,369,911,219,059,418,224,846,204,908,
753,689,324,310,376,788,129,406,331,466,153,857,377,623,132,739,877,827,404,
601,045,232,405,129,931,150,537,213,418,610,972,290,078,648,665,707,814,180,
321,380,270,946,281,715,565,863,904,745,300,891,663,381,771,480,341,434,289,
546,897,576,095,489,972,400,775,805,133,797,070,112,416,721,892,203,337,225,
457,260,548,177,225,286,904,585,329,769,956,269,730,284,464,010,763,454,506,
788,603,247,023,589,492,787,472,809,960,672,006,844,288,765,327,093,786,400,
192,600,195,080,765,447,294,591,794,000,477,151,104,506,787,393,299,544,529,
981,442,967,120,022,443,870,093,284,255,079,058,361,292,465,647,000,934,588,
693,712,285,034,720,106,807,445,087,603,975,579,347,526,622,349,193,543,594,
555,715,880,443,022,431,855,256,303,118,955,646,666,901,916,747,648,756,144,
332,041,071,226,762,553,538,843,872,858,381,345,824,249,172,113,917,507,174,
960,387,988,922,366,962,620,698,697,074,989,581,510,740,265,221,792,677,422,
275,395,917,068,229,124,798,347,991,904,056,466,681,652,670,050,450,987,084,
004,580,651,072,993,403,932,490,462,894,586,494,994,731,213,294,710,421,122,
950,774,566,995,142,209,368,786,051,845,514,383,890,496,451,660,070,491,349,
246,779,263,444,197,735,020,656,518,738,374,262,149,289,970,913,902,832,634,
507,417,281,214,466,818,684,204,369,635,165,539,993,452,305,082,638,277,951,
627,743,468,086,177,670,221,153,212,265,970,693,148,112,565,659,237,529,739,
190,946,484,204,071,867,441,844,498,054,608,772,959,152,426,843,185,967,373,
628,473,705,956,573,272,891,552,900,709,969,187,556,172,900,185,408,380,008,
913,582,208,509,176,892,826,974,101,374,608,570,117,930,786,762,914,453,713,
524,504,465,200,855,671,881,429,271,135,784,295,707,588,654,849,179,437,191,
720,364,139,917,863,675,605,985,924,184,805,996,146,746,891,221,612,960,962,
975,422,537,001,718,528,651,993,302,928,052,809,761,380,844,602,976,409,885,
774,428,052,213,484,278,955,626,404,220,747,798,567,094,231,628,560,845,115,
896,792,169,495,034,640,432,868,599,665,232,701,687,213,408,837,665,597,165,
897,454,575,887,081,488,423,985,887,041,789,643,830,615,682,645,478,921,027,
876,170,358,937,520,426,792,171,419,272,841,211,783,603,847,725,596,557,267,
489,174,775,965,167,823,688,408,969,276,969,768,569,217,582,080,028,784,599,
579,918,725,776,676,620,147,748,092,439,235,467,604,845,553,730,530,463,327,
843,229,439,228,915,731,827,230,348,533,605,463,014,262,800,708,305,712,696,
517,095,937,781,791,031,495,747,488,734,405,225,966,530,218,322,983,049,150,
814,679,628,891,144,121,602,732,961,850,108,240,727,475,098,736,187,871,507,
069,937,793,166,239,339,376,381,553,757,828,684,623,857,315,802,876,144,762,
359,021,047,677,712,036,517,612,884,428,748,931,587,939,528,663,047,275,726,
155,871,843,634,724,301,216,080,712,538,882,818,271,722,948,297,199,098,070,
984,367,157,698,702,852,591,314,402,568,377,815,503,382,954,687,876,031,060,
612,696,613,398,545,852,957,217,803,300,604,401,129,799,797,034,836,162,841,
067,777,623,620,919,461,398,483,068,039,707,492,488,501,323,565,816,709,969,
039,548,252,366,508,985,258,979,231,792,745,854,607,119,950,015,867,420,367,
438,267,763,411,363,685,560,425,510,726,134,287,390,566,771,623,498,076,404,
391,536,355,898,918,429,114,289,473,013,457,923,991,858,559,187,530,616,499,
481,936,801,745,172,634,490,836,832,859,420,362,776,913,300,565,308,549,916,
311,159,118,536,014,750,341,728,458,698,571,350,405,539,978,228,876,631,454,
913,543,232,351,837,866,725,307,862,463,754,741,333,498,629,729,997,567,557,
109,860,694,647,417,595,202,047,181,961,637,544,308,258,949,181,675,614,112,
411,997,394,550,531,212,254,823,010,105,987,831,062,321,904,909,410,357,387,
768,253,030,715,972,611,968,610,932,270,295,821,813,534,620,798,556,718,644,
380,451,718,724,100,072,916,121,341,244,364,564,578,484,654,071,328,519,599,
921,215,321,331,083,455,472,855,569,553,398,149,669,122,402,893,666,257,059,
997,954,116,526,474,344,063,252,946,754,552,666,055,390,611,671,826,550,087,
927,871,615,867,725,457,854,341,749,627,278,519,513,654,443,233,975,880,094,
562,597,976,383,640,617,524,438,883,224,600,875,120,195,999,588,880,078,856,
205,682,946,712,721,742,205,137,469,071,410,421,731,717,691,326,226,236,184,
790,150,250,050,567,852,044,861,305,875,599,541,174,299,086,942,432,882,069,
209,819,168,184,469,193,330,452,233,784,221,207,641,425,977,703,349,565,988,
403,320,672,630,027,724,028,712,770,012,803,963,449,561,488,967,837,474,229,
938,205,314,420,473,351,680,182,264,899,955,136,082,606,902,476,326,693,644,
870,739,791,438,603,136,697,939,409,300,334,390,709,817,232,701,976,938,132,
989,813,418,280,560,804,742,120,631,059,300,620,475,748,828,266,695,804,673,
666,564,220,270,746,901,548,147,550,824,498,897,680,912,475,608,117,687,671,
859,050,264,056,959,367,686,992,296,277,816,599,187,628,582,781,088,845,416,
736,846,130,441,579,535,580,134,369,778,011,380,022,454,768,414,742,025,564,
306,938,658,890,835,305,926,138,423,014,727,581,430,566,599,958,480,999,890,
907,272,606,714,859,706,477,579,584,525,038,559,691,780,482,429,374,155,965,
820,023,398,399,462,456,606,115,120,424,877,007,950,053,182,352,519,122,122,
782,808,918,196,956,637,393,407,860,680,980,151,866,728,028,231,287,532,920,
516,756,985,158,789,957,853,590,693,339,445,052,590,650,740,294,107,226,326,
729,810,815,331,114,737,474,848,105,103,183,429,857,294,765,468,316,898,570,
875,516,777,388,886,807,628,179,255,527,955,537,413,455,869,475,230,812,000,
103,436,550,266,208,328,935,022,406,199,237,406,865,938,805,490,640,957,832,
484,241,002,648,617,816,191,308,050,543,535,214,661,292,963,435,193,801,505,
977,034,532,223,202,689,840,620,218,916,412,253,897,058,352,663,301,324,491,
979,632,732,243,982,142,888,468,649,607,958,092,004,312,391,940,739,381,377,
258,561,853,095,291,846,183,754,854,371,895,509,211,797,226,485,964,292,257,
765,102,381,156,860,943,386,377,409,899,455,798,938,110,622,417,350,300,380,
703,347,758,667,538,690,679,659,398,528,089,066,158,645,179,620,094,500,594,
868,380,835,226,756,663,650,981,534,986,800,606,697,775,163,973,753,884,692,
923,565,557,418,795,402,742,148,108,857,647,509,067,194,401,632,035,488,150,
527,913,923,922,344,538,329,235,541,107,444,066,341,039,965,334,939,482,550,
712,355,395,763,610,081,134,291,037,901,939,408,194,645,592,711,460,109,170,
266,047,697,023,937,562,087,092,126,162,570,505,421,194,764,324,699,258,002,
687,479,021,224,973,173,248,884,251,766,398,504,925,867,680,783,627,637,125,
673,001,607,686,571,456,315,833,179,516,294,396,762,872,777,816,224,278,550,
151,981,234,906,705,255,946,556,949,436,233,209,632,559,167,795,955,240,474,
209,115,340,565,903,974,537,882,595,754,166,524,395,085,165,742,748,283,301,
492,141,705,745,390,591,102,060,941,733,250,319,799,276,530,478,490,733,704,
443,471,030,099,785,245,056,531,178,957,051,712,814,077,985,857,767,268,923,
010,388,190,736,478,590,858,889,310,086,716,701,756,601,212,255,117,456,822,
936,177,518,576,513,650,151,798,285,140,417,162,349,287,516,357,771,988,422,
458,876,560,308,490,644,355,051,119,489,869,384,183,288,082,930,800,058,188,
255,017,203,950,006,595,534,002,637,106,304,578,701,901,477,888,573,008,240,
139,534,601,287,962,156,942,083,378,212,198,021,566,384,704,662,288,911,769,
049,112,624,664,786,022,958,876,473,394,765,193,530,241,509,222,326,900,722,
345,904,763,214,229,628,779,258,597,351,976,544,174,460,588,775,110,788,644,
207,345,505,379,144,341,034,803,964,889,908,235,948,843,175,342,222,733,804,
644,966,258,289,092,143,222,249,334,880,318,210,811,619,758,550,783,602,114,
598,353,388,719,997,402,381,768,260,983,072,509,971,219,039,423,579,815,524,
830,407,732,884,836,207,243,222,414,925,278,146,454,084,632,235,864,292,026,
754,004,121,939,869,756,766,633,353,947,310,970,894,962,167,373,952,952,966,
178,515,286,359,882,260,071,295,476,350,311,147,087,704,108,437,110,008,194,
032,594,371,180,541,104,308,110,977,892,274,849,486,675,524,152,396,561,206,
076,150,354,491,736,214,788,867,971,821,728,870,482,429,384,714,914,989,730,
896,438,487,935,957,916,128,986,000,039,672,826,786,150,328,213,835,616,111,
831,615,734,512,090,480,962,177,491,643,755,314,574,422,526,855,835,115,835,
045,510,307,626,765,466,570,576,732,284,023,653,826,252,111,498,450,657,692,
967,176,268,959,556,966,108,120,568,152,197,286,534,756,249,769,488,167,468,
039,189,720,810,726,710,305,940,330,424,991,853,084,614,663,352,040,408,765,
171,672,498,069,163,410,366,307,961,922,899,010,104,190,398,720,438,655,740,
859,987,402,477,482,929,046,029,387,766,418,438,213,736,355,592,196,700,365,
678,833,160,061,607,399,799,851,216,411,092,170,414,427,966,391,079,286,374,
071,358,745,873,645,628,694,695,345,092,404,771,486,802,202,907,220,695,785,
476,513,683,362,453,853,908,912,141,386,605,091,021,722,290,096,119,245,016,
429,537,234,566,175,089,883,292,978,037,086,615,662,302,234,583,871,673,821,
749,620,990,984,607,804,378,486,109,727,181,297,564,551,519,225,390,603,316,
760,805,488,758,632,743,088,859,444,094,606,075,594,973,706,252,583,120,893,
662,525,062,902,823,673,880,334,849,944,128,096,177,180,388,114,352,232,789,
010,901,759,587,162,442,138,162,187,086,316,591,739,442,800,629,235,873,905,
608,318,516,217,766,517,772,264,292,730,831,853,670,877,561,853,562,090,290,
132,268,104,095,556,634,701,145,727,223,686,913,515,498,987,084,655,932,505,
222,193,707,157,304,590,710,248,893,921,704,819,145,656,817,428,270,169,772,
081,168,300,848,132,835,586,189,553,592,891,034,712,809,666,694,307,843,868,
903,069,706,475,709,026,588,492,541,247,600,411,769,358,757,452,691,288,053,
823,386,123,900,262,499,484,557,495,970,234,571,199,881,839,783,288,931,118,
190,877,785,407,343,279,309,316,296,492,555,961,594,198,462,340,814,778,651,
066,332,669,537,086,246,073,227,379,509,623,334,292,463,452,018,408,962,956,
022,720,672,340,883,178,920,577,119,620,454,343,125,088,932,923,211,131,017,
459,305,777,172,319,627,723,843,839,381,797,355,192,513,769,239,471,187,747,
232,663,335,961,212,103,288,831,904,531,394,070,457,091,612,423,428,881,550,
382,359,406,055,782,992,375,407,490,578,562,950,725,212,945,379,747,945,504,
257,393,410,171,108,481,773,904,705,047,063,153,059,313,972,942,147,932,982,
702,111,318,640,731,915,412,040,327,468,901,413,624,646,344,238,710,613,003,
785,799,966,743,508,602,068,735,783,515,502,110,806,334,378,556,431,059,683,
606,120,993,894,160,838,186,863,355,550,085,371,053,278,716,300,773,018,946,
899,343,434,091,406,755,141,128,305,482,510,362,250,095,780,654,963,011,293,
038,178,280,513,997,301,985,053,716,724,849,223,947,655,734,197,938,390,660,
590,084,857,285,846,964,078,677,015,061,356,585,920,262,432,807,835,238,036,
048,858,679,676,741,158,941,094,873,780,366,504,932,735,022,407,627,336,543,
077,273,566,326,599,998,972,126,939,073,545,113,037,644,421,398,268,305,590,
072,912,129,994,328,198,782,715,801,768,941,232,963,160,654,963,009,773,900,
309,009,603,550,258,240,358,451,621,117,565,396,823,940,275,133,478,358,100,
497,340,546,187,777,739,802,220,453,757,550,046,612,031,705,817,284,507,468,
280,846,116,544,767,882,957,405,354,160,023,270,481,226,679,630,956,345,130,
112,215,027,633,264,159,701,130,952,117,063,400,967,673,451,676,067,521,049,
575,437,895,528,198,033,131,011,786,187,414,165,962,896,115,592,420,039,065,
214,168,629,697,002,226,499,508,832,843,511,048,957,148,894,633,735,784,834,
159,128,917,699,876,285,712,372,315,520,003,137,963,950,505,113,780,859,036,
754,482,204,872,354,845,235,010,329,805,963,650,202,563,111,914,626,686,965,
491,693,047,595,336,469,036,540,345,013,431,525,358,646,616,705,629,725,991,
207,497,747,544,239,885,382,130,471,412,624,941,732,274,833,613,447,626,936,
473,408,222,795,432,874,488,685,893,038,692,747,971,912,995,470,452,306,318,
657,469,099,965,328,851,161,852,202,439,319,504,443,633,015,542,707,760,724,
983,190,551,775,580,897,403,779,977,063,294,415,282,621,250,141,796,036,730,
280,193,896,689,356,526,705,420,471,552,142,154,121,126,413,270,235,543,353,
290,438,785,108,613,962,092,549,008,040,982,084,618,286,851,776,037,719,608,
757,785,540,294,047,920,720,713,439,373,051,218,202,924,617,585,403,942,542,
922,586,183,556,984,977,853,359,130,458,817,319,112,567,266,885,132,651,993,
678,790,805,828,564,770,469,799,501,610,143,052,758,096,297,610,324,153,939,
774,990,229,041,550,277,511,705,391,290,311,405,618,062,343,241,696,056,126,
803,843,523,407,116,760,705,495,102,474,485,543,544,433,787,626,448,330,549,
733,891,997,129,691,235,554,245,961,267,979,353,122,788,351,094,385,531,618,
988,858,730,259,294,318,550,964,470,003,602,630,226,860,328,760,748,179,074,
997,519,865,140,336,212,548,886,967,459,531,698,856,128,755,169,290,207,330,
260,164,040,976,440,919,586,451,887,365,168,104,717,920,149,989,715,218,666,
191,266,728,050,000,797,018,197,047,244,902,879,114,876,612,719,598,362,061,
381,894,984,248,392,592,488,513,622,932,445,322,817,763,165,927,782,190,675,
279,710,721,945,229,246,439,931,871,546,772,962,132,477,991,485,819,226,488,
472,478,414,490,991,896,192,053,476,346,941,093,945,475,192,163,411,939,671,
687,078,389,211,206,237,349,415,640,130,185,844,440,643,106,490,754,383,563,
419,666,727,626,496,127,310,426,230,367,188,647,839,811,926,970,538,115,025,
026,599,545,948,146,609,526,770,908,131,875,893,456,549,004,383,720,325,711,
590,938,074,319,823,381,424,275,060,652,831,500,254,838,366,797,521,352,658,
965,085,769,353,124,770,430,637,057,188,502,119,419,048,261,134,299,698,920,
090,533,007,998,863,484,100,025,050,250,786,789,663,230,436,254,092,889,006,
270,717,990,930,522,895,866,583,504,981,720,392,807,574,059,293,885,909,404,
829,375,738,981,612,513,082,983,598,796,332,653,024,048,831,218,030,621,816,
296,655,472,140,024,668,052,349,092,520,605,278,313,716,363,015,704,013,370,
968,211,177,419,187,338,406,697,075,647,892,267,886,093,459,980,288,135,835,
767,007,673,268,632,672,022,812,821,018,844,217,390,361,088,200,135,850,919,
012,358,636,839,086,095,401,469,977,830,924,542,700,636,438,065,289,146,135,
497,185,919,563,144,632,069,095,363,317,035,544,682,487,015,287,940,011,673,
409,782,543,238,934,021,717,128,401,579,849,392,375,849,288,759,598,844,982,
291,109,148,426,811,716,696,519,260,898,573,625,599,160,990,424,353,806,362,
713,420,502,951,333,053,041,839,021,030,516,600,128,923,923,907,540,990,829,
887,972,550,023,345,275,103,002,103,990,738,004,950,712,743,397,524,474,690,
519,956,388,895,902,887,143,285,020,441,379,485,851,886,825,296,257,341,785,
501,741,930,395,947,128,611,222,256,736,311,968,357,268,349,504,835,677,561,
037,286,566,099,802,204,352,570,343,637,927,177,370,824,611,297,591,161,782,
294,610,228,477,251,738,209,195,645,844,432,990,293,417,227,014,009,636,821,
710,256,797,511,725,808,228,907,810,317,985,000,153,552,225,089,958,161,430,
675,534,235,065,842,045,024,228,564,184,990,717,935,277,308,504,919,186,522,
104,197,382,955,111,585,051,778,892,151,270,947,152,523,321,033,458,654,207,
156,505,453,555,989,989,399,645,292,073,959,637,570,232,352,184,089,556,801,
994,332,788,243,935,953,429,093,948,561,280,053,180,485,409,237,965,853,643,
356,709,569,717,232,401,202,776,773,002,995,809,429,405,566,208,751,859,203,
396,148,643,350,971,258,320,362,968,312,398,042,873,662,126,690,854,643,709,
747,325,867,986,866,710,907,689,059,521,549,421,667,447,680,136,858,606,839,
466,986,603,304,207,503,612,243,393,015,667,530,724,441,298,439,607,544,411,
987,833,153,183,199,907,945,742,126,912,298,989,266,583,015,208,516,098,134,
488,343,852,633,453,624,817,976,514,328,488,888,488,741,646,007,977,962,940,
135,756,443,002,475,674,250,170,934,412,140,977,012,779,300,282,378,722,985,
781,322,851,575,260,720,275,736,135,327,760,773,206,084,961,811,555,067,439,
470,441,558,774,165,077,174,024,392,656,083,209,947,068,068,769,248,629,695,
965,153,174,857,849,569,520,012,442,941,160,284,600,568,611,500,786,590,845,
928,207,676,744,011,966,426,632,743,255,250,316,505,529,279,555,450,274,807,
814,161,987,194,067,316,211,315,299,868,581,234,665,750,068,608,831,291,661,
778,449,609,751,328,401,778,747,797,060,001,495,764,776,750,341,082,877,768,
826,809,184,781,566,913,290,592,908,042,573,393,719,989,441,687,425,427,359,
090,795,461,065,230,521,762,961,908,420,793,277,171,484,274,087,882,528,588,
319,431,384,425,277,912,309,230,266,758,673,489,119,317,908,732,897,040,455,
500,834,199,906,119,819,771,738,574,410,729,973,164,259,217,858,438,190,596,
478,431,968,008,478,709,563,794,336,010,258,719,039,328,962,173,231,254,753,
606,064,297,565,168,218,143,580,913,310,251,352,890,808,935,216,259,474,667,
783,379,580,680,751,697,604,514,031,147,398,996,782,812,183,508,994,411,046,
624,050,248,704,039,183,997,882,383,153,810,175,483,192,384,028,265,626,863,
572,263,782,659,909,738,457,191,866,325,672,651,828,961,911,011,423,061,107,
719,116,768,899,056,635,487,166,789,286,541,309,732,640,699,957,178,073,380,
784,491,699,567,799,381,556,951,012,454,251,515,824,890,129,374,034,018,429,
757,598,489,664,302,979,971,986,450,509,566,749,404,596,189,015,568,724,175,
289,257,925,182,018,505,609,082,107,584,214,388,809,229,932,486,858,898,908,
050,742,728,134,553,989,338,835,474,469,860,246,684,136,244,953,110,524,887,
678,392,331,463,868,021,895,632,819,630,567,523,780,443,956,028,849,270,837,
159,872,622,788,810,320,378,443,372,516,029,033,023,239,077,456,762,599,234,
543,988,554,911,023,697,558,147,286,732,762,136,517,593,677,406,418,676,222,
616,719,173,243,831,462,999,039,978,447,065,120,224,403,789,067,947,602,117,
218,731,280,971,854,049,368,164,350,203,630,176,665,466,436,538,218,023,266,
946,174,167,447,307,190,491,083,570,931,154,414,405,378,991,535,613,180,624,
330,511,641,462,565,320,731,099,260,883,840,718,483,297,367,805,657,334,864,
848,803,106,268,565,061,816,074,563,210,226,224,634,359,917,432,122,055,961,
591,325,513,133,716,915,328,541,834,268,333,897,191,668,041,237,695,432,320,
747,789,827,393,469,533,224,541,586,651,537,065,443,162,799,409,625,882,901,
973,740,915,813,508,746,044,419,085,018,065,803,365,813,821,573,203,828,527,
504,906,188,792,518,620,454,132,496,287,379,272,656,074,225,465,443,767,201,
044,789,674,146,466,539,915,434,780,356,521,879,787,058,910,038,163,912,823,
172,101,996,286,989,753,909,394,508,686,760,041,349,764,175,820,498,556,227,
918,428,552,950,021,043,957,116,732,337,624,349,036,377,319,991,107,826,955,
697,842,288,269,083,994,829,337,222,551,483,690,441,810,213,043,975,759,592,
760,995,488,671,216,700,684,543,086,859,346,776,822,280,602,998,340,149,384,
550,865,046,281,877,797,514,808,528,030,013,547,393,361,512,375,633,489,175,
405,487,800,428,008,613,066,384,756,860,557,892,145,851,130,191,483,119,967,
316,927,858,791,600,248,911,089,548,903,785,896,650,196,978,266,127,122,393,
880,094,163,268,205,846,174,863,970,294,693,976,499,615,086,401,302,034,962,
589,398,886,348,797,803,241,965,736,125,586,084,984,365,402,525,260,473,171,
299,322,565,660,115,266,011,953,923,566,610,749,132,084,177,993,946,785,224,
706,027,911,156,926,186,619,957,863,286,916,223,092,504,968,039,650,336,218,
811,532,772,192,039,512,759,626,961,082,300,673,192,959,106,826,644,878,489,
096,026,127,965,985,000,719,381,747,037,309,781,939,082,418,432,306,538,296,
625,691,191,714,065,154,644,952,406,718,943,653,361,777,153,722,624,837,283,
423,318,558,375,817,876,745,302,525,955,937,066,390,602,436,044,775,397,686,
375,827,375,490,608,939,125,353,307,984,453,277,955,413,331,283,326,109,716,
645,268,128,296,682,846,624,162,369,856,214,239,512,406,157,842,682,630,965,
500,030,974,142,807,061,404,355,146,814,706,311,396,725,169,021,021,591,265,
879,667,354,026,529,779,545,407,614,036,512,860,098,669,479,468,526,447,435,
455,604,411,417,147,515,935,894,426,432,374,610,072,511,649,298,128,679,273,
835,611,565,848,263,767,995,166,635,154,654,390,770,357,035,272,128,947,167,
975,055,201,318,660,970,765,035,589,462,153,405,003,584,353,835,630,500,878,
964,609,415,810,675,328,145,826,524,134,389,357,567,025,590,439,826,099,079,
047,043,596,509,070,492,004,196,027,096,307,066,607,408,825,637,387,454,980,
415,468,791,917,141,334,379,778,300,007,305,448,473,660,382,041,545,030,885,
781,840,904,988,946,925,797,511,109,410,082,810,144,956,323,981,657,384,102,
496,971,789,986,995,488,582,373,889,289,732,505,333,236,704,673,882,767,808,
223,626,054,186,525,156,433,572,359,208,843,838,086,482,879,766,102,382,418,
254,125,071,663,238,403,416,821,099,208,986,312,863,819,292,683,321,168,333,
801,849,465,723,016,644,913,159,599,817,611,234,488,209,940,526,861,731,717,
069,416,720,628,271,178,241,827,612,715,794,648,871,797,851,367,109,622,914,
086,154,023,551,310,477,705,912,046,265,962,488,576,891,193,436,373,727,485,
113,731,049,985,704,498,248,105,158,242,260,665,859,909,638,707,114,758,718,
145,238,998,664,554,212,357,138,201,752,868,121,262,818,553,753,474,680,203,
320,236,249,371,411,203,763,484,575,486,068,973,819,105,798,128,013,126,602,
290,313,710,841,904,416,715,210,185,262,593,514,867,144,308,865,557,663,479,
656,427,577,710,888,322,708,402,694,266,534,696,215,627,766,705,135,522,302,
557,900,539,339,146,619,700,265,829,660,727,688,214,823,846,033,715,271,857,
887,011,416,440,913,888,080,921,651,960,311,611,815,111,113,783,695,322,854,
849,882,467,429,894,103,656,539,088,035,547,566,520,294,718,232,348,676,522,
209,407,534,599,628,859,688,520,555,535,822,219,945,720,204,473,159,343,336,
284,415,691,192,962,909,555,905,840,925,068,277,235,853,724,470,739,816,230,
296,889,998,045,387,003,063,875,114,173,570,301,610,050,002,424,264,179,262,
098,596,426,307,528,238,616,963,051,482,122,379,706,327,746,237,852,532,123,
121,916,729,891,645,615,520,244,916,965,197,900,280,670,952,233,908,600,318,
148,942,872,790,782,602,803,271,601,648,716,896,905,580,833,971,056,527,713,
263,680,425,651,064,724,526,474,374,051,744,073,136,110,193,160,004,735,218,
816,908,613,253,518,540,569,175,134,453,939,987,239,255,718,895,168,419,924,
231,774,572,849,184,112,647,985,439,280,479,063,595,121,756,838,864,294,566,
748,372,921,373,535,630,061,053,823,656,020,290,635,798,508,621,175,806,462,
516,204,933,157,026,019,700,177,527,333,246,068,773,113,270,524,528,250,720,
548,024,251,255,809,033,365,193,383,498,553,778,875,290,805,036,565,306,491,
939,843,795,789,599,711,525,439,153,490,856,942,992,702,771,218,492,233,056,
863,705,787,808,447,860,466,581,031,355,073,225,104,135,435,708,766,470,555,
030,377,264,100,874,925,929,142,929,487,048,331,545,651,828,604,926,603,983,
360,585,827,824,580,327,941,476,526,303,069,717,222,617,768,328,685,156,568,
577,169,406,349,902,866,744,720,260,296,745,566,919,968,630,384,972,337,038,
035,171,451,431,787,624,374,844,365,501,860,223,440,602,273,717,725,380,062,
847,131,236,489,158,136,904,553,019,265,035,576,893,710,460,864,144,393,122,
315,290,632,407,407,066,441,026,274,969,574,677,717,831,895,569,661,907,951,
695,682,790,220,245,042,194,650,682,213,318,563,954,782,643,634,328,512,078,
801,731,984,295,076,441,889,790,654,275,430,686,957,972,659,354,072,241,417,
064,878,003,577,525,943,744,001,740,375,627,603,030,101,265,252,869,259,936,
836,797,212,461,004,921,085,811,385,113,838,785,270,100,196,868,429,145,147,
510,926,596,536,641,422,745,253,456,561,604,424,697,435,653,232,522,856,808,
703,468,914,897,056,626,251,954,662,079,630,919,350,271,828,340,023,371,889,
844,027,157,134,202,534,694,691,109,698,551,820,131,711,000,749,331,173,977,
593,143,228,623,822,621,530,328,986,127,680,064,931,935,578,821,491,276,589,
399,195,938,949,827,701,764,836,728,743,255,335,537,753,244,923,368,405,009,
989,398,813,993,324,112,110,750,277,348,387,781,828,592,478,629,855,062,865,
390,942,971,291,004,319,776,814,631,402,282,888,666,363,827,775,465,678,040,
802,787,089,632,792,522,584,336,403,684,599,411,988,924,967,916,160,506,483,
667,749,695,948,948,245,473,316,767,338,843,257,415,425,788,999,305,918,161,
424,096,239,594,426,823,644,522,936,088,703,133,594,793,445,264,520,842,693,
688,676,137,632,608,173,389,872,958,457,187,351,825,239,623,883,761,297,229,
101,413,263,756,998,019,284,091,541,615,211,236,873,808,591,045,359,176,452,
889,455,150,156,861,263,263,553,923,569,429,276,544,517,670,138,429,208,351,
608,708,469,538,128,984,992,707,342,970,132,589,836,608,765,445,079,727,685,
188,952,628,753,239,460,900,249,977,890,478,368,202,738,822,154,050,135,441,
913,184,463,619,310,556,368,674,309,538,449,630,015,171,405,671,662,596,560,
238,639,169,044,492,076,155,695,056,737,901,539,126,850,123,174,153,560,747,
726,652,203,249,553,009,948,514,160,990,263,822,129,748,831,414,046,795,194,
610,367,859,109,014,819,615,271,333,227,655,510,314,070,221,029,708,259,997,
988,537,886,702,684,459,021,119,360,320,286,893,316,133,206,296,623,411,400,
969,411,202,743,065,115,699,468,916,227,613,653,403,315,867,994,874,196,451,
850,265,833,128,667,124,038,308,522,024,377,443,926,941,017,842,844,884,476,
017,844,480,769,448,590,340,097,830,678,894,124,087,476,855,588,239,531,296,
370,670,534,217,021,294,575,869,399,990,182,744,986,382,178,487,318,471,140,
896,563,050,166,684,914,586,057,651,389,555,991,647,323,593,991,811,630,086,
493,935,174,581,675,879,698,791,190,520,240,908,872,316,045,399,290,487,634,
040,926,135,096,061,560,619,043,604,958,365,533,294,245,172,516,882,207,821,
307,778,587,322,146,163,596,299,740,969,387,804,662,871,028,699,307,366,452,
083,687,964,378,225,268,831,126,228,308,624,515,804,735,635,271,575,405,327,
247,813,401,013,105,603,200,291,668,428,159,054,463,878,699,306,050,093,124,
655,828,365,985,372,918,985,905,201,112,660,213,766,992,047,700,739,566,333,
330,447,232,095,889,740,547,274,970,480,992,454,828,662,668,696,186,248,527,
803,551,709,815,040,701,449,318,040,519,527,831,958,634,574,907,687,946,498,
229,590,199,236,864,835,352,099,966,566,807,998,959,541,707,069,132,202,379,
168,294,884,759,249,795,943,879,593,664,040,805,995,464,052,951,812,188,063,
286,581,845,076,264,408,024,287,351,130,132,715,591,850,054,982,211,130,466,
974,273,002,228,160,692,881,535,643,063,058,566,488,654,056,451,546,374,303,
295,483,793,022,058,512,397,016,108,136,259,401,895,734,366,772,710,372,702,
038,939,338,361,097,086,229,107,168,868,726,861,917,754,241,479,978,304,015,
661,879,757,226,377,596,526,588,283,591,238,133,101,628,891,699,318,993,550,
248,694,231,879,807,495,048,247,271,656,691,123,691,779,749,293,982,577,161,
028,814,129,903,146,094,624,464,346,709,045,253,773,305,107,656,627,113,384,
154,629,938,023,170,466,568,955,911,932,541,020,028,763,445,354,142,286,536,
175,901,747,675,895,143,744,685,650,496,389,785,531,715,975,854,270,079,863,
101,762,998,036,816,146,782,807,115,783,357,620,156,005,199,256,209,824,733,
169,478,448,614,864,509,268,483,432,699,252,534,189,262,280,197,348,299,549,
967,273,555,835,718,014,134,441,985,337,225,637,795,706,752,169,707,879,874,
656,507,451,016,634,911,512,246,316,887,056,625,325,237,756,308,555,052,399,
061,845,902,584,044,768,063,336,456,437,939,723,453,428,798,370,050,485,670,
249,475,561,389,499,245,762,397,526,430,770,416,427,915,908,387,993,030,911,
547,053,489,089,656,195,716,902,668,548,503,820,411,216,614,072,320,229,023,
412,579,614,803,188,493,416,579,846,015,359,890,147,440,635,006,461,314,609,
466,287,434,182,514,159,544,698,373,231,357,637,141,854,773,305,121,089,242,
616,275,360,564,685,035,110,723,298,569,504,586,055,375,353,657,714,590,617,
923,974,185,814,661,533,152,490,665,647,940,446,134,548,273,951,199,828,513,
638,072,668,143,915,621,752,487,679,185,182,706,611,779,108,522,915,144,106,
922,923,630,607,856,211,165,700,708,646,335,233,806,470,694,431,885,944,163,
471,107,108,974,774,557,064,109,361,948,385,961,201,175,751,870,359,583,576,
375,287,793,429,575,906,361,236,697,472,479,419,800,580,199,842,579,140,903,
460,024,314,063,564,901,755,879,250,502,385,372,755,415,231,540,841,736,981,
515,773,844,051,172,512,154,630,890,143,392,294,736,275,722,858,605,403,423,
755,285,330,925,791,644,143,637,217,744,539,026,626,619,047,457,318,711,458,
774,248,586,601,802,342,236,141,424,171,755,843,415,909,176,992,662,381,551,
112,013,945,064,515,653,589,873,257,721,148,670,639,167,458,749,632,823,146,
363,563,062,320,733,275,247,613,315,015,883,264,573,229,074,906,689,344,320,
465,396,098,572,328,444,838,549,118,469,344,768,757,845,258,580,170,357,976,
284,754,031,640,167,459,476,855,440,210,506,085,645,289,917,909,401,754,914,
404,244,789,420,655,011,225,672,419,453,971,103,579,344,398,524,263,385,943,
973,322,351,112,318,760,938,003,988,147,705,524,134,103,351,967,216,564,239,
224,527,044,089,920,383,827,346,767,744,245,123,472,785,332,243,191,341,490,
207,509,865,469,076,882,456,160,825,761,090,223,238,165,404,296,198,995,496,
241,023,003,504,897,809,801,616,626,306,029,381,472,324,149,503,193,186,223,
004,582,164,982,304,282,102,244,446,495,768,452,083,548,303,719,749,894,359,
284,408,462,485,014,978,808,582,805,578,805,778,300,308,190,700,652,597,863,
252,553,480,361,933,355,363,517,380,774,253,342,133,358,950,146,144,740,985,
279,963,173,282,299,882,195,682,673,303,005,468,447,264,932,444,652,832,825,
855,853,838,373,058,634,632,905,565,801,271,045,361,470,109,617,705,452,693,
882,197,964,502,069,844,910,630,840,645,130,342,918,429,760,531,136,558,672,
045,318,268,563,946,877,010,916,743,865,978,487,873,068,576,026,394,632,037,
976,344,206,930,784,259,701,196,677,520,298,745,306,481,549,714,222,102,199,
378,537,880,755,584,773,854,458,470,732,723,047,866,655,800,434,847,601,339,
500,115,683,827,961,343,248,205,091,323,899,440,468,200,312,413,875,152,937,
617,963,361,775,148,756,225,231,469,879,344,548,630,670,782,621,160,781,277,
894,360,941,924,464,478,549,700,247,587,837,016,134,452,273,570,343,066,254,
519,352,963,934,856,202,511,133,063,073,332,397,501,012,822,096,006,615,695,
247,268,041,887,438,997,798,937,193,511,786,812,097,961,553,934,343,473,728,
995,232,523,419,136,528,149,600,174,563,125,342,960,898,631,420,288,532,673,
903,046,669,783,439,235,535,554,608,856,652,962,938,436,649,636,734,240,843,
182,417,349,192,509,942,722,884,338,410,656,456,193,385,413,272,360,335,537,
822,416,597,458,252,429,879,943,176,373,453,361,470,073,388,083,520,254,841,
119,750,598,441,822,898,441,045,002,200,894,707,405,559,280,841,271,986,569,
721,510,200,396,019,974,301,740,549,702,591,242,042,238,597,677,417,043,961,
982,689,359,403,130,339,988,686,478,383,055,316,765,799,294,567,000,826,109,
996,266,310,156,293,434,199,180,584,228,500,628,779,790,121,632,825,258,995,
980,308,311,310,469,447,408,745,078,097,805,722,652,642,530,147,928,033,783,
355,591,841,290,496,665,294,547,014,800,573,158,150,512,526,303,878,844,928,
048,332,827,537,018,260,524,888,388,022,429,845,500,304,071,492,076,711,100,
721,826,139,777,505,315,819,475,147,510,298,591,179,278,790,588,543,775,871,
574,265,700,084,279,335,608,366,108,000,788,910,690,216,820,887,390,244,357,
219,402,645,873,044,623,914,428,624,722,507,255,950,581,839,879,963,682,767,
168,087,621,080,002,224,936,556,375,604,461,184,769,314,765,662,140,924,078,
414,153,089,309,404,948,699,723,043,652,855,949,650,650,610,719,867,618,881,
660,758,723,141,997,311,993,839,169,551,843,458,028,067,916,428,494,114,454,
360,185,508,017,482,260,808,331,594,231,534,937,983,935,985,966,039,304,928,
256,727,639,791,287,594,924,996,083,157,129,413,273,017,675,770,762,843,280,
141,987,838,153,055,415,927,393,694,291,133,495,022,267,049,308,364,723,684,
181,792,276,008,342,628,817,249,566,033,700,953,714,103,058,753,721,030,009,
602,896,220,200,686,636,583,975,281,671,498,946,720,118,576,065,585,972,008,
081,662,647,506,335,948,614,901,789,633,686,217,216,425,654,788,836,991,302,
367,143,416,901,160,386,151,876,185,843,759,645,525,959,604,363,764,486,729,
899,882,658,533,383,240,336,066,892,194,465,679,242,294,442,747,246,987,521,
378,845,226,815,052,278,558,478,995,077,566,574,782,431,520,128,820,330,376,
845,792,048,425,497,376,608,760,296,713,287,788,308,050,959,354,303,585,130,
699,556,205,675,177,414,952,582,353,737,340,207,982,951,139,661,237,116,134,
621,359,340,597,190,241,680,055,280,274,222,570,583,969,014,972,222,270,516,
080,910,923,797,787,878,949,760,906,085,745,154,456,677,771,761,926,799,742,
787,941,678,773,627,940,212,530,738,852,904,288,114,657,280,973,923,637,511,
122,441,115,151,881,340,156,656,654,716,404,017,824,536,614,601,250,447,101,
601,089,526,097,144,024,516,125,576,701,311,930,679,998,545,143,660,072,305,
272,813,555,433,752,059,262,193,993,352,952,573,675,459,482,014,060,916,987,
224,015,592,874,545,190,778,956,483,306,996,991,226,045,982,604,300,693,310,
105,567,407,890,324,161,365,616,405,420,218,609,356,477,155,320,080,300,762,
286,577,854,116,611,646,368,442,347,541,042,233,072,211,431,134,112,318,869,
456,927,628,806,137,376,942,494,893,595,829,889,545,136,376,814,895,943,207,
963,317,588,407,599,277,448,971,587,417,155,322,881,720,821,406,438,852,226,
735,659,128,100,083,905,935,129,503,993,410,459,370,960,070,710,040,830,268,
915,731,880,554,575,765,894,527,759,149,452,089,917,269,214,503,780,560,476,
787,138,654,739,729,894,394,357,160,508,643,094,411,970,369,545,034,652,133,
210,660,745,674,345,298,930,086,950,141,120,807,907,796,709,192,193,381,629,
708,092,256,434,375,724,636,105,888,904,164,996,748,411,986,301,742,765,456,
082,613,795,636,659,055,588,060,124,263,997,515,159,537,390,286,982,254,744,
717,359,977,249,366,973,879,825,925,926,330,763,942,004,069,576,106,433,238,
641,056,785,611,612,673,375,897,346,980,810,210,966,481,864,726,431,880,588,
789,151,283,034,268,490,890,079,187,887,259,140,593,608,593,794,471,885,606,
900,079,911,694,607,189,347,470,410,903,233,701,346,824,196,533,186,052,764,
438,929,697,703,877,567,168,026,707,874,307,467,825,618,896,905,268,285,011,
296,062,234,106,526,273,774,254,709,542,949,885,723,634,316,527,146,045,650,
646,410,894,342,898,099,703,571,220,846,474,697,705,587,813,535,804,052,771,
410,043,814,684,997,865,542,959,150,550,954,842,595,081,371,012,310,982,902,
516,041,929,203,162,141,622,890,358,563,582,074,841,511,805,487,382,505,446,
104,859,085,461,685,060,531,016,602,609,023,726,432,814,435,106,951,706,320,
507,624,831,568,512,550,016,840,639,524,520,053,838,502,508,841,545,585,474,
234,263,060,833,835,429,343,646,607,305,926,238,145,839,920,698,147,307,673,
471,025,244,988,457,156,082,883,504,832,920,721,848,130,358,663,100,699,445,
011,212,453,929,829,276,492,329,865,612,549,414,677,605,277,302,556,870,621,
049,596,694,994,615,968,909,225,652,310,267,091,452,715,177,051,901,870,286,
261,004,103,048,775,878,005,587,722,523,786,286,253,454,770,557,964,472,115,
307,531,661,490,076,970,077,887,004,638,598,077,607,735,474,286,688,738,166,
823,463,255,753,335,851,223,382,269,065,101,079,307,080,543,401,330,968,082,
259,884,130,033,799,413,637,898,001,894,979,182,810,133,501,522,427,549,980,
413,492,720,313,069,037,061,368,441,620,886,131,498,694,392,750,881,353,620,
653,370,658,593,774,846,394,566,249,443,535,137,892,179,209,075,534,738,008,
592,317,787,904,525,912,758,812,311,303,686,136,566,361,661,757,013,675,157,
008,212,586,667,891,389,036,592,008,990,806,932,199,976,675,260,557,403,975,
081,268,787,955,765,659,780,454,988,433,938,476,354,406,222,415,850,186,905,
376,199,542,581,914,304,103,855,869,134,361,847,097,228,942,364,221,534,834,
972,724,995,327,026,423,106,354,448,381,717,591,956,968,722,144,778,633,347,
740,619,395,127,583,465,658,497,613,685,765,822,161,192,168,647,627,003,759,
736,452,402,922,308,203,770,240,452,450,621,112,670,533,528,165,796,844,516,
798,280,294,182,867,605,844,977,654,924,973,797,872,895,539,275,637,248,475,
921,963,980,569,639,119,194,603,701,082,094,689,660,066,852,193,513,665,220,
652,616,099,442,079,961,103,350,016,843,197,265,443,947,138,576,380,431,406,
975,444,693,167,988,777,125,798,715,951,365,776,171,349,777,635,983,646,654,
393,692,685,462,794,593,367,529,604,763,171,244,622,042,787,476,928,159,188,
454,349,962,300,775,489,562,692,832,452,000,747,901,182,010,233,049,542,799,
961,532,426,341,613,932,056,934,234,539,497,367,410,380,514,897,781,042,551,
140,516,639,511,730,499,836,320,487,992,050,408,120,460,360,206,431,485,733,
721,572,204,242,732,372,307,331,679,460,731,932,370,392,644,786,886,562,383,
105,350,855,001,431,178,723,874,508,943,009,155,540,371,283,394,619,091,380,
774,737,069,376,263,667,745,333,753,493,133,793,893,531,339,525,179,089,790,
282,224,997,596,840,580,297,167,789,374,210,244,435,313,438,437,210,070,304,
776,822,000,319,646,059,018,488,076,062,508,035,560,268,247,871,422,985,532,
073,708,007,876,434,570,883,876,052,008,852,153,564,680,284,456,520,389,787,
763,730,888,190,324,805,759,037,080,136,367,098,976,202,462,858,601,513,047,
958,732,501,558,261,251,405,597,552,214,742,872,975,153,203,219,103,935,968,
084,364,949,194,827,852,755,222,699,363,188,281,923,915,091,699,473,478,037,
021,724,332,431,057,690,729,555,745,053,892,033,876,619,145,968,174,212,793,
784,277,699,480,462,755,382,192,883,627,759,919,684,898,491,815,886,839,073,
539,262,711,147,932,491,647,968,092,813,702,409,680,417,525,682,564,070,478,
590,205,538,569,776,683,837,270,630,197,045,947,649,049,345,614,130,611,204,
416,579,764,885,856,448,122,325,783,909,530,811,039,045,610,955,388,063,779,
908,397,328,208,599,611,573,229,150,531,380,820,453,863,029,383,498,406,692,
847,299,585,505,464,857,799,601,883,955,216,333,954,815,347,329,320,072,671,
599,390,539,764,124,940,700,737,722,185,700,941,095,703,236,057,125,669,951,
974,116,730,585,214,849,780,448,719,325,978,404,627,861,870,310,532,353,566,
997,545,694,064,318,846,511,933,316,669,828,063,291,664,623,126,887,463,547,
971,971,120,510,384,308,947,372,969,442,608,885,347,408,634,442,880,442,200,
913,937,055,870,771,117,142,372,891,085,738,047,678,374,706,017,644,120,130,
022,123,607,280,668,033,075,008,749,777,274,250,033,215,741,697,516,183,185,
734,701,342,442,191,803,789,148,078,659,033,972,985,533,941,011,409,030,207,
428,610,981,132,742,444,761,542,593,904,611,911,556,707,669,092,587,337,107,
686,376,844,134,340,124,548,159,700,210,348,844,994,174,005,808,408,967,455,
526,497,223,011,842,428,311,757,712,276,525,388,742,239,496,684,245,215,612,
224,327,165,321,850,346,834,122,475,511,741,837,436,834,591,261,811,881,408,
465,571,849,161,626,119,932,562,545,222,108,641,258,415,718,928,927,030,590,
241,629,512,732,802,218,578,808,386,605,993,444,063,510,825,225,627,258,818,
090,776,284,677,403,002,151,762,935,820,153,779,644,374,211,371,601,498,482,
208,436,052,542,440,696,302,767,258,773,969,909,367,579,901,010,649,717,119,
060,115,029,896,627,625,304,742,212,347,837,333,538,479,477,064,789,360,235,
595,419,499,095,493,497,129,919,905,267,061,186,756,404,080,050,748,057,664,
096,476,975,341,605,599,045,690,095,197,386,565,827,001,236,241,007,727,961,
537,178,007,480,113,231,514,204,404,832,900,101,714,472,003,180,975,368,235,
167,008,847,703,148,017,763,716,291,051,516,339,922,059,335,710,761,014,457,
297,965,687,181,313,921,685,297,703,945,891,259,351,313,180,769,882,547,293,
455,410,681,733,740,887,757,010,294,581,511,912,007,628,287,619,962,432,559,
713,195,007,501,433,717,191,773,771,039,363,798,262,069,375,165,474,716,392,
404,353,333,333,479,032,154,458,155,242,269,532,184,962,478,699,973,620,279,
589,885,108,600,723,515,837,575,145,906,009,264,062,260,759,546,896,892,175,
051,213,773,607,318,073,011,166,483,662,055,202,657,323,797,882,557,969,136,
135,424,901,950,673,846,370,593,529,331,343,508,283,185,663,106,335,139,907,
760,705,140,356,441,396,316,687,086,702,349,101,797,815,433,752,650,087,628,
994,085,655,368,824,831,884,677,895,613,785,306,916,429,096,756,597,088,701,
562,971,938,445,194,191,780,082,986,082,312,640,930,740,801,065,770,954,477,
483,559,181,515,423,481,932,779,235,165,133,412,604,052,616,583,702,870,248,
871,941,754,856,977,975,980,970,808,802,320,765,148,814,929,176,948,535,533,
097,685,484,967,185,647,416,220,605,640,691,061,686,351,657,771,604,003,564,
120,117,800,780,411,146,537,853,894,873,020,914,821,769,091,854,891,878,301,
359,481,114,427,069,247,442,280,030,603,351,855,269,062,283,885,385,712,376,
958,883,000,788,945,747,817,469,375,435,571,042,244,849,823,614,018,894,130,
870,059,335,346,932,392,579,030,854,912,702,044,953,873,626,269,684,848,593,
661,834,525,336,149,619,842,720,828,555,236,211,280,725,419,915,681,746,130,
747,463,156,109,276,872,780,771,864,693,164,390,268,216,140,920,465,306,290,
345,669,357,442,957,189,585,540,790,490,842,783,837,644,365,947,668,114,445,
880,508,809,725,152,100,915,987,911,597,180,294,667,279,248,540,369,086,542,
423,202,841,413,662,595,423,090,917,741,033,049,203,869,761,964,093,996,165,
039,747,246,105,936,546,724,616,855,643,331,487,144,484,921,933,858,642,622,
480,541,413,404,595,864,723,240,694,826,136,153,080,706,177,223,409,647,391,
506,419,167,423,633,352,586,520,885,949,995,389,834,839,151,001,982,935,472,
333,645,461,366,741,136,868,419,024,548,001,545,677,032,562,384,234,711,279,
482,421,872,098,271,043,358,656,626,972,553,676,936,733,228,594,061,970,684,
864,468,799,327,149,315,044,763,029,214,463,865,601,915,267,872,361,820,502,
363,112,000,830,380,934,523,919,193,037,257,099,557,084,357,472,255,899,886,
283,449,979,602,213,007,204,147,384,259,126,567,991,120,358,334,959,332,185,
395,616,077,376,816,148,489,286,904,237,130,036,423,370,631,881,623,402,309,
560,412,263,045,602,114,653,382,888,480,963,524,733,170,202,872,403,144,149,
013,852,972,157,348,159,789,231,014,255,517,522,975,731,546,329,134,804,755,
322,903,648,934,452,036,156,232,401,498,168,387,634,079,645,693,857,997,978,
225,444,057,825,873,740,997,766,363,505,746,685,731,368,310,894,254,071,040,
330,699,772,789,306,705,014,572,267,657,108,618,023,183,522,183,500,251,393,
814,667,093,866,193,847,906,231,085,112,619,958,772,619,823,880,644,069,333,
101,913,764,363,633,028,357,456,673,901,051,597,576,181,106,990,962,955,180,
512,108,226,620,462,438,095,626,449,390,537,823,388,142,830,489,224,326,323,
649,840,257,127,152,597,564,481,832,486,294,301,693,420,932,116,320,476,584,
162,087,540,574,435,566,158,720,154,928,292,868,302,978,114,576,004,995,936,
180,166,977,434,998,284,144,216,811,365,830,609,739,123,445,551,395,835,715,
378,019,778,090,089,429,529,763,600,481,098,003,702,161,154,924,465,396,161,
093,921,678,470,869,440,135,654,120,477,973,897,774,331,033,593,227,268,765,
797,070,624,523,554,676,396,702,786,334,899,537,386,670,071,740,242,539,341,
472,723,970,186,842,878,727,956,478,298,712,981,194,031,121,345,716,818,481,
746,591,705,750,493,872,652,847,320,564,229,912,266,694,925,796,667,831,258,
441,673,041,267,187,634,150,056,571,760,046,986,712,501,905,728,420,545,031,
980,910,024,446,748,867,198,080,547,983,846,300,250,335,346,636,615,737,508,
702,023,702,574,612,817,977,962,837,480,267,797,098,231,496,782,416,075,903,
594,519,650,044,017,025,224,707,944,268,984,374,687,158,920,457,602,019,192,
402,480,422,586,655,650,747,194,480,151,698,561,208,781,934,289,902,207,263,
740,413,476,323,649,480,351,859,670,292,469,303,063,608,353,925,357,058,383,
204,198,762,384,820,282,543,925,957,565,097,911,800,063,972,630,334,471,243,
012,231,451,068,239,738,282,993,988,659,850,218,270,281,295,369,178,255,832,
361,185,766,358,764,794,182,599,749,921,313,009,095,272,417,395,115,514,688,
944,714,862,107,249,788,265,571,987,927,026,311,881,728,450,577,464,195,196,
805,893,986,370,601,135,861,840,254,619,463,078,152,240,408,716,234,090,070,
773,411,372,462,781,229,013,828,855,153,466,519,332,077,694,401,390,954,114,
362,794,449,147,517,621,781,916,195,745,942,814,426,420,863,253,676,834,734,
669,942,842,623,670,566,420,556,686,378,252,330,765,338,280,211,813,398,644,
975,708,398,347,880,472,666,114,193,869,997,649,819,369,653,824,594,973,124,
387,307,842,113,907,620,836,419,334,653,850,514,541,188,531,417,769,474,281,
925,614,943,930,204,350,231,636,297,870,937,206,260,738,022,248,006,504,259,
096,361,703,737,535,629,564,193,037,895,892,894,387,242,158,980,345,409,311,
315,424,933,599,310,768,029,363,219,713,909,115,746,742,988,513,685,662,734,
758,600,061,393,778,530,486,315,497,819,043,104,478,544,588,279,582,337,125,
318,874,884,886,077,249,524,486,182,397,750,473,025,770,634,734,591,113,511,
702,304,857,879,543,947,169,381,862,578,937,883,323,309,019,357,146,782,258,
758,897,422,929,693,704,819,707,712,635,877,713,234,665,021,414,555,630,073,
528,864,490,005,346,058,678,234,199,294,317,372,837,521,932,030,960,538,453,
996,944,269,335,673,251,974,656,922,479,381,310,552,662,776,560,440,933,083,
221,941,143,415,147,342,835,479,425,063,609,893,432,435,261,352,043,103,353,
679,868,573,639,287,958,920,447,642,599,087,654,319,673,227,630,609,051,411,
818,228,715,765,977,258,124,712,440,257,576,220,926,538,304,343,538,243,537,
744,824,465,951,983,451,479,204,524,405,284,352,221,872,532,661,653,940,764,
985,478,387,936,567,399,891,500,880,738,929,577,535,257,137,965,346,186,187,
369,619,450,516,897,558,670,728,244,810,187,860,755,196,531,469,290,647,292,
364,478,049,293,402,087,874,453,418,427,606,658,340,461,307,526,406,246,483,
595,939,018,056,545,636,326,425,100,216,991,656,216,709,864,139,483,867,367,
082,364,776,469,990,753,570,172,309,941,189,235,617,563,650,075,326,974,507,
076,047,611,892,018,048,999,044,720,761,490,762,586,143,089,468,031,758,653,
251,944,094,627,640,103,218,851,964,994,606,755,709,556,093,030,342,117,736,
401,571,940,533,703,898,035,985,726,530,647,154,007,981,641,596,505,793,943,
105,179,750,527,362,288,546,462,071,802,707,493,860,198,672,503,368,751,289,
038,912,265,029,857,698,971,358,888,035,157,838,229,422,062,607,729,664,331,
031,662,318,431,093,600,450,478,115,018,512,946,416,360,233,403,394,482,522,
622,476,534,247,065,188,453,766,769,090,165,910,241,500,180,976,113,204,280,
876,925,776,629,796,221,941,065,719,282,202,287,132,817,233,109,239,049,629,
084,336,326,429,388,711,535,579,230,314,510,843,069,294,700,530,934,671,753,
488,797,471,049,360,333,408,013,855,535,528,047,637,785,424,635,149,053,226,
283,558,452,939,723,304,787,717,675,311,897,488,033,515,243,947,877,984,867,
222,049,668,143,938,150,626,474,453,234,815,052,834,061,596,406,940,453,936,
835,820,604,910,249,960,249,244,926,966,419,199,004,800,895,366,560,280,231,
323,864,825,500,466,868,983,792,273,252,138,563,001,016,405,206,857,816,034,
167,529,636,291,550,478,011,142,886,071,457,371,223,666,705,121,201,771,767,
253,134,340,818,014,208,488,110,240,941,086,121,292,515,367,459,375,323,112,
847,702,324,718,951,740,946,499,901,988,127,377,016,012,380,266,231,277,086,
915,901,731,955,036,125,288,285,030,218,140,380,714,112,796,063,008,721,722,
195,191,193,781,750,851,874,789,583,681,161,554,198,731,016,033,147,730,334,
010,490,119,239,285,667,665,469,425,280,153,272,969,006,878,919,121,816,692,
330,980,943,311,908,748,196,479,078,756,418,038,995,319,841,027,544,555,053,
094,122,804,414,374,585,537,345,504,688,318,985,615,044,046,764,505,938,481,
024,216,845,247,039,653,651,833,828,448,522,135,367,271,033,200,561,224,362,
932,212,819,815,702,667,371,308,535,896,946,628,323,219,439,795,573,511,909,
127,814,753,973,275,810,299,689,338,305,286,042,192,930,303,646,039,929,906,
974,039,933,323,918,898,730,875,605,130,935,260,234,606,730,671,503,200,454,
220,308,066,554,604,948,538,616,316,171,814,184,655,299,083,089,618,372,271,
309,063,622,731,744,229,623,393,240,718,362,377,689,859,401,238,950,775,901,
095,941,610,576,787,129,634,296,891,145,262,763,757,451,065,836,062,693,089,
018,589,177,757,583,601,817,138,330,287,220,938,095,192,771,331,920,739,494,
549,753,426,385,323,084,827,764,744,672,217,050,786,957,144,322,835,752,499,
920,559,208,256,872,565,094,540,200,310,787,164,216,492,389,007,791,722,277,
204,758,718,313,037,407,557,457,544,849,058,126,794,982,014,156,718,491,631,
479,673,297,915,236,443,652,068,602,537,717,445,548,509,741,670,208,820,510,
722,834,573,525,615,180,482,076,591,836,693,920,169,454,520,174,320,382,841,
032,822,002,616,153,710,460,075,866,588,425,106,314,571,994,692,957,191,561,
560,762,928,799,923,676,189,202,386,794,519,199,855,439,609,311,975,265,053,
644,275,213,707,947,807,484,653,998,543,411,615,663,780,090,259,438,741,895,
173,433,287,649,332,617,764,134,592,957,844,642,674,894,231,713,909,195,661,
163,116,454,791,201,658,075,652,549,989,564,959,852,886,324,838,358,972,775,
707,673,263,186,913,658,126,968,275,384,406,071,697,181,500,715,518,284,088,
031,527,064,344,976,683,189,678,849,155,688,120,881,537,277,748,291,878,495,
410,929,944,528,730,950,952,483,461,562,137,834,994,449,344,057,297,335,624,
142,193,347,053,085,342,690,926,051,319,273,684,380,361,391,887,284,705,233,
984,154,542,629,631,731,208,746,617,479,249,665,026,302,179,277,301,956,123,
474,822,257,148,415,108,615,344,446,391,386,849,514,621,779,490,238,864,506,
062,429,566,923,228,526,001,575,141,328,646,790,700,852,991,285,891,163,480,
666,925,500,425,397,271,355,293,723,722,341,939,978,880,727,823,931,665,709,
490,444,990,844,443,704,188,461,094,584,926,464,835,350,284,905,286,113,386,
390,344,413,170,879,979,917,028,697,738,998,901,317,863,079,243,819,839,721,
650,250,327,572,450,491,927,481,673,734,285,183,151,529,995,413,896,777,109,
102,902,734,398,258,584,655,178,522,741,328,497,998,822,067,588,664,805,753,
594,744,874,108,174,927,369,826,018,707,249,209,522,684,814,339,325,521,566,
650,961,378,313,892,323,154,557,411,223,198,213,422,354,773,108,183,343,412,
971,529,151,246,883,038,608,902,847,132,853,233,485,781,442,383,153,947,816,
727,158,234,238,400,418,382,534,112,520,916,510,314,771,827,006,127,497,760,
643,154,765,213,342,810,136,315,127,332,913,281,157,336,660,183,436,623,750,
521,118,506,084,076,189,490,300,705,885,690,929,446,412,868,843,591,908,325,
971,195,584,955,117,542,476,619,580,659,179,239,680,316,193,257,535,288,072,
250,324,236,990,244,091,537,352,729,986,854,461,350,207,154,323,869,622,418,
110,057,190,209,583,203,256,255,777,862,363,784,852,673,781,731,695,624,581,
663,136,648,312,879,894,005,840,091,875,189,820,256,336,296,171,784,043,344,
621,056,108,427,646,754,354,244,105,581,838,667,218,423,710,099,535,357,090,
019,708,354,818,170,622,511,921,798,986,424,600,245,104,827,885,621,092,166,
753,373,197,609,383,675,492,078,223,852,020,627,991,524,188,293,961,533,327,
230,290,502,521,140,729,860,658,541,588,965,616,949,129,091,801,179,164,694,
505,019,094,312,546,557,762,288,614,385,049,362,342,152,284,510,903,898,050,
706,151,165,667,957,606,580,474,097,784,032,168,062,003,279,414,906,958,387,
537,520,997,634,460,909,929,492,263,704,678,253,506,213,484,860,135,177,451,
929,769,089,876,866,529,093,329,792,037,345,899,580,844,855,835,908,189,648,
089,142,784,732,804,322,029,072,088,932,312,538,877,381,204,381,651,970,236,
907,869,360,158,161,538,883,958,314,698,386,044,120,754,815,274,689,184,802,
743,921,461,858,828,693,861,971,663,703,270,225,303,848,743,548,092,559,604,
573,064,464,389,917,563,904,405,870,112,578,755,213,997,165,372,750,783,541,
646,731,837,915,376,876,808,707,341,901,528,413,171,982,811,497,041,654,618,
370,326,931,915,424,028,353,631,507,553,401,677,535,673,130,113,420,487,625,
874,304,955,460,743,286,669,257,328,775,801,047,668,820,550,150,857,447,542,
021,847,221,331,229,610,917,726,996,739,450,094,715,110,810,769,314,973,678,
748,624,042,770,742,529,757,350,734,592,479,185,050,329,737,548,230,232,889,
800,472,450,912,947,394,963,867,989,524,541,277,035,041,310,725,618,562,275,
040,438,757,271,304,456,715,327,270,802,361,947,550,083,005,231,086,066,015,
065,925,986,038,981,682,011,738,839,546,625,368,226,861,090,440,055,081,319,
489,908,306,547,911,333,300,093,912,556,982,949,656,879,147,156,872,256,262,
728,832,506,441,992,976,279,594,137,955,296,941,318,131,562,718,065,572,775,
962,162,739,264,504,542,283,201,988,527,832,668,705,750,845,341,639,033,488,
657,135,302,213,804,898,945,857,357,861,728,509,582,653,206,856,062,104,247,
406,876,215,257,622,540,428,652,919,787,817,198,055,525,992,555,207,482,360,
087,445,462,079,358,955,705,932,889,060,880,436,598,784,491,246,119,699,885,
555,776,948,175,301,793,284,783,367,389,606,873,508,897,905,367,156,367,572,
340,523,790,632,145,308,573,361,276,052,831,907,792,564,867,563,354,388,104,
078,777,354,828,607,136,239,582,831,066,534,449,103,353,213,445,836,291,882,
878,419,276,541,597,715,984,666,416,873,532,246,880,206,623,131,092,141,268,
589,974,625,615,742,711,979,927,502,191,139,403,003,454,472,992,796,657,763,
020,101,267,591,408,491,243,265,380,867,249,457,295,020,611,403,339,080,864,
268,866,102,245,636,077,075,492,275,255,817,745,368,811,168,644,243,647,632,
557,068,896,676,126,492,968,172,131,095,713,057,371,132,961,201,241,454,212,
873,322,044,622,870,319,864,806,395,612,006,392,122,390,926,121,207,636,171,
855,688,692,931,451,766,438,402,747,503,095,970,941,647,273,520,488,335,360,
807,366,491,090,286,534,440,309,268,882,348,572,560,101,675,623,821,487,006,
684,122,907,127,692,287,562,066,063,442,756,014,711,472,001,078,256,877,084,
161,323,942,941,561,124,099,353,049,265,441,209,836,470,645,643,499,133,554,
629,316,787,178,701,671,967,153,551,462,345,636,612,334,598,998,697,483,412,
013,776,339,324,923,182,044,541,364,843,020,165,015,915,731,237,306,061,623,
587,003,661,509,730,899,125,244,755,724,313,478,162,609,207,577,110,382,273,
538,299,837,085,222,401,122,222,427,177,510,425,261,821,013,014,022,344,656,
422,386,202,930,762,163,881,492,238,366,059,064,874,592,344,634,382,726,610,
739,652,061,377,492,101,053,664,007,132,622,664,147,166,873,562,228,334,775,
271,969,118,662,404,650,256,407,581,336,169,387,093,160,534,505,780,324,507,
196,920,252,921,179,641,054,389,481,906,783,049,452,042,844,025,305,323,122,
702,223,469,361,062,497,789,773,254,981,582,096,199,720,102,732,973,788,500,
553,646,313,173,774,369,927,253,575,150,794,760,042,591,619,989,814,511,038,
560,057,936,535,054,519,722,203,585,079,006,739,728,808,715,470,348,847,180,
766,833,805,354,169,913,653,647,929,746,052,845,100,623,666,704,740,448,116,
254,152,146,648,292,178,160,762,467,256,919,102,728,213,728,409,492,290,846,
071,754,882,879,374,325,385,661,813,616,501,039,502,045,759,837,763,178,655,
847,501,253,676,554,071,336,970,089,068,781,160,417,177,001,274,470,268,864,
413,488,615,422,325,550,281,600,463,542,045,781,924,653,010,941,952,798,724,
851,630,886,928,385,742,265,316,536,027,579,776,090,578,353,042,747,737,618,
132,655,800,818,316,943,999,674,944,991,600,953,203,964,955,749,211,349,134,
887,542,754,508,963,330,842,451,787,547,017,161,161,980,508,126,138,732,791,
096,816,341,276,860,946,814,166,841,087,022,052,805,773,219,490,004,332,503,
894,228,506,182,206,673,046,588,296,088,172,665,395,304,523,042,976,827,146,
150,288,502,918,587,854,674,453,471,039,239,123,017,721,651,951,681,081,629,
443,013,000,427,286,733,763,498,664,198,016,139,824,692,265,772,353,665,200,
894,978,005,422,178,364,097,247,414,829,909,583,819,071,957,314,529,262,926,
381,571,727,960,410,530,710,373,775,417,661,401,779,006,720,369,370,955,210,
983,514,912,361,572,887,656,344,094,837,058,940,644,909,089,453,058,575,265,
087,481,765,230,213,005,589,723,581,222,906,263,367,974,164,679,939,644,586,
922,664,289,581,548,572,254,402,471,301,719,233,287,063,545,764,753,915,060,
156,144,419,205,330,594,019,320,620,248,161,632,953,680,233,974,659,879,734,
146,897,987,273,977,884,406,330,493,216,556,381,620,710,302,545,496,349,763,
417,977,140,407,566,529,848,420,063,585,743,901,498,824,361,015,510,022,883,
320,733,255,543,285,595,971,146,725,771,094,300,498,126,670,495,064,163,011,
422,810,631,540,093,184,337,081,645,414,519,785,805,509,192,217,744,517,326,
532,576,574,150,589,452,024,915,547,012,137,295,147,644,761,415,115,388,493,
517,222,464,762,661,304,253,618,358,988,243,798,387,881,248,372,484,540,582,
745,568,560,094,658,252,125,748,387,100,877,760,236,674,158,279,886,512,241,
216,698,045,209,259,428,024,481,848,145,495,573,266,003,806,083,638,443,799,
938,358,066,034,335,982,621,668,305,207,435,661,974,011,984,408,332,778,067,
277,331,359,874,887,326,186,597,840,055,689,468,212,693,870,346,346,673,093,
749,940,595,816,777,177,006,940,213,966,217,991,035,532,839,221,570,508,801,
078,851,927,828,092,196,158,350,199,622,609,769,468,361,111,809,341,630,688,
425,413,313,608,173,560,144,541,761,546,165,139,637,765,540,063,695,350,014,
143,735,843,274,971,173,321,977,176,941,100,798,534,361,657,073,053,109,560,
928,775,344,156,741,547,771,481,910,305,436,743,747,354,116,431,490,270,522,
102,276,890,782,680,081,326,921,457,782,050,808,074,723,153,891,412,165,403,
640,894,869,875,118,636,659,519,867,305,876,359,151,666,531,454,981,058,427,
314,868,659,186,887,586,352,496,439,034,769,642,348,416,363,818,211,326,658,
201,521,162,850,622,244,464,033,830,088,948,607,450,085,716,364,727,438,337,
734,068,273,380,628,634,264,871,324,904,091,854,451,533,136,050,999,684,299,
954,679,630,100,978,964,683,832,788,468,271,303,199,748,223,481,515,096,643,
477,104,961,333,161,888,813,887,090,867,554,026,819,099,088,281,381,779,652,
831,524,015,730,190,020,315,303,020,371,897,472,478,494,027,925,309,366,769,
684,050,587,387,802,546,480,341,046,898,913,342,612,378,444,211,172,919,620,
418,637,006,848,864,930,231,930,237,659,450,437,054,423,405,295,673,371,379,
519,772,663,381,476,992,084,503,672,072,151,509,282,405,089,141,875,290,981,
070,723,044,704,452,647,861,932,122,285,362,462,101,142,574,731,756,073,406,
867,939,318,488,073,053,995,114,681,355,890,484,831,928,703,940,848,690,781,
634,842,426,196,287,419,311,810,297,974,675,803,549,867,375,718,831,328,709,
062,449,836,054,973,727,236,073,238,921,589,337,338,079,617,822,966,350,248,
941,457,940,711,006,909,468,057,405,378,201,357,496,365,756,477,845,093,269,
033,245,072,622,094,937,196,687,843,600,681,498,642,922,521,903,503,067,853,
536,968,069,840,041,359,212,049,298,301,605,381,390,640,764,943,463,887,178,
820,292,081,900,182,115,856,585,962,141,013,148,246,869,507,963,838,724,218,
795,066,946,361,599,238,088,851,116,300,726,381,001,205,003,781,817,181,875,
252,875,829,627,315,706,818,853,381,274,967,505,036,690,655,945,660,704,875,
367,542,293,400,277,477,558,020,571,335,311,224,952,373,861,605,374,765,391,
542,594,375,358,603,220,485,687,667,949,084,782,812,910,998,551,068,013,255,
012,802,334,159,264,137,924,761,728,124,061,197,411,337,891,569,669,130,517,
920,182,081,356,198,295,077,847,391,168,747,039,332,095,622,546,395,220,667,
731,553,797,729,413,690,016,739,516,646,361,369,787,983,860,184,597,025,657,
262,957,873,950,070,630,561,381,909,529,183,958,709,575,133,565,624,351,122,
981,945,138,636,524,387,829,197,485,818,502,084,586,223,732,367,357,305,777,
129,559,024,921,195,372,719,450,874,583,659,909,516,850,790,790,430,799,069,
917,987,078,099,679,195,726,532,709,761,148,526,619,789,227,419,863,488,697,
789,057,476,050,632,941,167,644,644,385,228,738,541,396,451,565,479,639,781,
310,256,158,809,313,398,992,449,197,535,114,785,806,419,772,871,430,592,432,
816,757,406,419,454,153,465,220,874,829,144,979,018,644,159,229,745,304,530,
908,909,456,344,564,833,017,005,474,807,193,796,306,352,618,989,056,089,756,
602,374,768,154,317,428,264,351,004,687,686,284,345,111,750,232,951,392,144,
394,116,218,005,444,755,885,676,819,331,303,972,675,924,398,651,481,131,067,
205,341,278,271,079,300,960,654,296,736,153,855,077,795,928,542,032,091,185,
418,339,763,394,436,680,018,469,915,440,677,894,017,120,325,451,441,514,620,
766,927,266,060,552,890,429,015,468,527,696,561,637,203,942,119,792,487,064,
830,039,356,528,519,133,505,777,492,472,648,006,047,703,456,576,608,334,418,
663,014,455,365,408,773,364,912,576,029,189,463,596,005,426,588,518,902,897,
166,244,082,717,152,782,768,828,540,385,254,580,856,593,704,616,582,578,343,
554,350,881,740,516,258,063,877,578,238,568,006,579,011,807,500,137,100,465,
590,693,090,831,227,042,359,240,502,357,292,070,725,564,783,825,618,419,096,
679,794,624,455,375,758,342,874,650,964,389,462,157,799,957,196,522,052,173,
366,347,060,963,828,602,128,903,715,455,154,626,251,071,423,893,219,801,936,
220,466,421,283,352,305,588,645,932,863,727,230,049,762,523,025,740,638,860,
266,963,351,130,126,707,156,812,585,210,349,226,458,996,110,778,007,880,423,
991,893,988,209,080,379,540,096,197,073,467,226,132,185,428,785,969,734,588,
346,074,010,466,854,861,215,186,418,817,319,245,993,866,396,162,685,152,476,
945,371,102,205,424,877,508,489,885,392,641,883,408,620,362,430,554,829,911,
339,686,249,485,837,440,424,376,640,392,396,920,599,916,999,202,103,959,632,
036,095,870,809,082,235,715,240,383,752,352,365,765,253,139,138,305,412,537,
317,841,887,488,853,104,193,684,607,635,212,611,492,983,651,472,844,285,950,
091,370,691,282,553,438,439,612,959,965,296,447,042,767,053,563,153,603,900,
522,610,848,445,344,789,499,491,774,141,342,255,467,030,259,829,208,505,265,
345,304,267,085,019,240,026,421,926,227,266,074,869,853,134,607,667,832,603,
128,022,904,346,944,175,697,573,658,534,098,039,946,980,909,978,180,496,705,
549,518,203,314,597,256,463,809,065,335,197,572,783,718,880,337,729,054,344,
687,826,388,845,692,841,910,063,384,221,075,990,253,665,536,764,415,558,514,
353,400,529,513,329,418,945,106,039,089,524,242,733,479,846,774,881,706,633,
202,763,830,923,896,900,089,183,961,209,133,942,159,730,335,339,092,826,047,
447,573,922,054,537,346,009,480,622,293,885,808,394,787,069,968,730,181,675,
595,937,466,396,558,791,456,827,141,287,291,161,813,811,518,713,667,152,369,
689,116,000,221,146,500,796,690,569,978,430,376,973,536,661,781,146,978,249,
839,035,206,192,832,233,368,152,675,750,832,375,803,980,843,805,625,314,011,
534,329,272,866,945,680,869,196,201,745,063,853,809,497,801,067,535,031,843,
218,310,795,391,721,467,289,087,681,830,748,023,688,051,657,128,652,854,619,
988,368,034,815,324,184,382,775,706,537,902,600,488,286,615,593,237,693,001,
959,179,922,433,578,250,536,602,923,525,820,054,051,910,697,501,856,351,881,
414,029,081,456,929,613,783,079,678,180,802,270,245,750,583,528,000,924,872,
866,806,260,682,265,248,589,317,662,778,874,759,473,469,423,309,192,128,908,
709,745,571,835,676,910,318,635,778,719,320,912,272,139,785,511,369,901,107,
545,301,618,647,971,232,358,843,252,125,163,011,731,265,983,771,158,373,696,
157,273,900,311,767,278,738,939,200,375,985,981,391,132,481,284,646,922,009,
912,114,342,748,752,694,593,119,244,706,989,874,777,359,652,784,649,379,022,
380,133,511,004,533,645,419,650,174,414,800,000,285,617,619,900,132,385,190,
712,780,462,838,047,238,192,282,313,483,465,697,623,151,277,976,984,407,558,
285,658,657,000,033,089,664,201,855,357,582,546,461,973,452,763,340,992,175,
234,888,992,733,996,851,162,754,989,394,452,903,532,256,196,705,065,021,369,
532,966,945,470,916,406,417,471,334,694,091,087,699,210,146,829,928,532,599,
746,614,747,485,154,946,068,185,170,825,299,538,550,419,652,525,370,187,167,
213,045,538,372,107,731,463,587,248,092,334,700,193,707,854,739,712,216,493,
635,481,741,183,649,277,393,676,878,052,470,418,985,177,286,343,001,787,975,
175,142,290,477,833,168,268,525,768,235,238,180,353,448,146,433,645,429,576,
457,072,933,875,951,332,076,727,254,685,687,249,621,891,543,910,039,093,617,
598,602,148,321,732,302,435,891,758,504,339,206,772,475,266,841,127,427,044,
025,259,043,159,952,544,765,276,048,216,010,753,760,470,382,785,830,535,737,
174,185,089,693,238,669,217,435,588,593,953,431,591,841,086,598,121,817,137,
412,254,946,376,225,211,019,053,621,173,838,408,170,914,670,566,447,760,197,
977,586,302,745,164,847,279,474,161,911,653,748,018,555,735,454,809,056,489,
987,385,919,253,466,341,414,051,069,682,428,003,956,138,972,804,685,690,821,
476,846,739,217,232,083,443,997,302,534,047,663,194,452,807,697,164,175,223,
218,692,009,977,945,095,923,146,873,289,120,227,623,662,811,238,666,648,739,
590,981,531,474,645,484,804,401,385,740,788,478,480,712,037,761,157,516,671,
567,476,549,186,238,294,691,471,902,634,629,829,631,775,695,817,268,963,564,
031,523,794,256,280,167,806,480,672,754,229,293,748,448,701,227,002,952,371,
532,250,258,118,458,761,670,485,634,953,218,325,109,374,450,686,375,187,389,
806,682,083,935,723,709,889,790,086,581,593,337,860,202,554,935,372,157,265,
639,985,103,449,832,972,885,992,476,377,652,139,737,452,029,118,712,278,961,
719,958,758,510,096,260,550,764,598,478,851,602,786,034,897,305,113,865,034,
393,140,509,779,995,336,560,163,178,810,310,307,975,747,106,289,104,816,753,
186,685,453,068,122,653,698,126,153,612,516,163,715,298,814,389,230,031,582,
408,119,986,721,825,893,325,821,904,949,591,557,098,332,649,256,301,128,071,
281,156,793,066,276,573,801,326,763,257,383,181,071,169,433,514,223,843,106,
449,316,112,990,499,769,400,096,184,036,137,033,349,780,331,510,593,942,042,
774,286,894,177,053,898,180,894,998,172,827,955,890,951,446,309,678,072,872,
451,010,754,381,602,355,127,592,427,662,593,800,478,443,052,767,095,859,838,
069,320,421,726,408,804,177,132,143,542,652,645,452,389,683,391,067,877,185,
734,229,506,676,611,207,265,858,456,593,404,771,537,460,388,298,488,710,122,
724,523,494,364,320,784,392,198,794,051,762,783,484,339,441,698,946,693,034,
996,810,365,541,991,085,588,609,609,224,475,375,504,025,810,726,535,127,231,
535,218,677,271,584,224,452,851,774,560,258,041,398,108,369,363,168,565,141,
530,169,939,644,375,263,498,761,772,354,502,973,862,747,307,674,114,418,406,
839,089,907,293,489,126,714,700,048,080,392,071,415,340,544,043,699,475,466,
772,657,342,833,087,778,004,634,525,839,623,599,538,661,313,417,947,427,769,
639,046,295,336,240,128,438,844,971,321,759,610,695,786,126,598,998,095,674,
991,040,535,702,773,626,915,021,988,830,124,327,585,962,179,166,834,550,920,
677,246,804,061,578,684,143,972,600,870,151,576,991,709,713,713,754,935,085,
127,446,625,715,660,313,119,178,525,863,673,319,287,210,810,535,634,735,095,
791,194,143,719,661,108,625,133,576,567,198,446,316,667,176,571,398,515,203,
679,990,333,443,656,408,059,789,796,936,572,693,889,700,076,934,898,136,335,
827,221,451,935,819,342,487,115,083,704,110,744,523,387,415,838,661,946,423,
451,077,909,563,630,697,613,466,572,174,425,710,919,391,592,649,039,821,643,
497,237,163,719,134,146,784,741,102,458,082,652,362,782,741,776,361,410,290,
070,452,256,277,372,184,926,819,668,768,139,556,968,506,056,267,200,889,450,
239,841,851,010,124,639,653,451,415,718,776,227,467,899,778,042,292,916,216,
390,293,116,623,842,734,338,949,497,227,239,467,958,691,750,977,994,360,998,
589,330,196,642,739,855,886,554,806,733,794,341,218,995,108,365,375,447,240,
374,466,971,543,207,665,332,401,990,134,187,343,663,694,035,142,483,971,336,
118,183,543,290,274,728,584,228,739,792,285,625,887,083,669,371,046,104,162,
676,348,726,740,844,409,411,672,147,035,239,092,335,627,365,783,936,000,237,
162,420,810,697,219,762,135,260,085,623,241,370,457,711,353,868,419,402,988,
444,490,513,304,571,670,888,872,055,748,614,175,320,202,481,440,595,554,301,
792,412,646,186,568,438,936,289,630,053,070,027,729,825,427,422,723,121,495,
843,986,694,150,932,605,041,024,579,682,550,618,234,170,849,159,752,916,567,
670,790,090,501,420,717,718,551,198,841,694,834,807,058,385,892,863,504,581,
826,968,449,189,977,433,621,040,369,078,032,580,746,908,677,531,688,182,827,
296,644,657,425,858,665,966,393,749,798,836,646,233,030,831,116,298,558,228,
504,310,691,216,769,917,934,734,561,848,403,918,417,048,727,510,579,865,421,
907,537,715,099,345,218,306,316,443,007,611,239,272,795,606,322,615,245,283,
350,541,901,593,850,391,764,374,743,534,356,781,183,296,795,288,503,093,712,
707,767,261,037,032,176,507,827,861,909,719,489,068,234,827,734,653,923,551,
099,584,486,947,295,695,548,568,984,303,117,193,153,263,909,492,567,793,097,
247,406,812,333,272,272,569,386,733,268,953,186,491,617,071,496,704,434,000,
553,733,173,762,498,749,810,822,371,234,603,463,849,528,694,635,461,865,790,
920,522,697,973,259,714,565,422,282,342,299,659,676,699,910,003,924,236,234,
893,103,465,849,625,621,190,485,889,791,567,149,307,157,606,053,429,929,198,
981,957,655,096,326,200,558,393,903,458,640,212,860,990,383,148,154,396,315,
143,241,181,287,156,974,274,723,853,145,398,246,090,083,348,052,753,451,228,
004,755,487,491,824,944,500,442,464,885,524,625,544,857,386,778,252,184,658,
402,025,804,345,769,534,728,948,204,391,055,277,535,782,004,136,171,349,818,
857,865,572,207,780,894,511,600,798,567,565,950,791,068,431,194,911,154,157,
662,677,628,066,776,555,836,821,322,946,584,090,799,387,629,403,582,405,492,
432,756,125,814,846,155,542,650,940,386,109,886,999,180,120,862,057,062,740,
726,341,124,600,933,714,700,461,236,318,442,654,085,241,472,214,623,378,716,
806,538,456,555,167,120,243,698,380,890,070,778,953,285,858,976,141,606,843,
780,969,819,844,857,035,784,756,993,095,954,371,934,486,105,088,606,332,498,
912,904,028,947,341,515,006,869,064,999,958,308,145,420,728,973,501,546,212,
330,095,918,557,688,217,633,242,991,222,783,136,549,562,058,851,154,683,160,
818,646,549,869,449,672,094,735,405,292,121,988,829,942,429,783,104,385,938,
071,848,191,697,028,358,731,840,458,771,403,430,582,371,396,791,115,626,173,
909,955,218,728,914,180,831,740,458,814,861,181,170,616,260,317,238,434,847,
532,985,744,667,377,089,520,520,726,183,025,187,850,684,494,956,132,485,770,
730,998,633,518,010,861,927,634,089,469,329,327,858,639,848,836,595,307,582,
241,294,029,345,513,909,005,149,115,939,759,567,652,125,435,341,030,488,562,
766,467,413,549,238,103,002,532,757,432,786,725,518,122,801,997,060,809,827,
791,678,544,306,681,262,520,616,777,123,202,496,630,965,040,119,475,111,070,
675,067,882,259,540,851,360,987,616,528,910,964,385,735,222,355,460,588,140,
825,113,003,292,505,132,601,335,131,858,988,650,883,882,994,254,103,896,915,
843,158,207,562,216,120,617,711,668,202,883,989,433,102,028,476,745,485,391,
958,102,067,113,100,573,437,460,786,767,994,075,395,975,979,695,649,719,501,
049,801,630,157,101,227,148,183,887,406,515,682,149,842,927,657,659,838,107,
491,760,457,776,325,470,711,542,364,669,064,964,025,331,912,892,020,890,542,
812,432,106,257,530,795,932,491,894,470,148,413,570,406,234,610,479,573,545,
854,385,549,977,350,716,751,059,128,007,344,401,745,850,648,845,742,492,506,
954,615,377,833,216,826,253,479,351,424,398,479,661,199,771,105,784,752,584,
499,827,519,888,688,914,796,684,432,397,739,449,852,693,984,669,289,689,327,
735,355,980,405,610,514,325,905,633,422,960,473,351,493,310,056,835,516,067,
840,420,400,509,738,519,373,410,120,119,887,407,883,473,169,602,191,602,759,
948,096,757,537,899,000,370,387,801,415,775,543,394,588,308,563,150,583,034,
746,713,576,911,478,245,568,281,295,692,012,156,825,987,955,353,720,935,610,
331,747,528,839,655,506,400,226,273,944,967,054,674,430,959,340,863,197,783,
290,658,129,578,026,185,829,352,032,043,089,142,002,398,964,535,978,271,216,
966,652,383,383,808,251,795,519,484,261,218,435,595,848,197,925,368,696,873,
877,026,112,788,721,904,957,759,375,235,519,592,450,752,341,430,713,291,257,
337,676,203,965,263,086,323,985,269,150,746,819,218,096,200,474,357,330,384,
501,416,550,739,588,768,082,112,917,662,875,374,149,755,197,998,540,444,422,
464,443,088,304,133,781,020,588,754,615,691,875,501,464,405,416,002,240,230,
567,265,981,017,695,712,756,252,847,105,290,205,488,713,608,335,431,572,499,
028,164,757,675,355,413,851,458,679,769,823,697,587,965,142,429,915,740,187,
884,805,949,425,075,251,097,129,688,202,432,373,899,190,616,538,641,984,679,
368,943,227,776,250,492,938,680,215,453,800,177,036,966,797,927,657,539,146,
362,821,510,645,857,480,791,067,348,510,959,178,162,716,505,858,098,122,058,
291,359,735,702,950,567,579,119,195,710,465,238,822,931,725,191,236,608,071,
087,228,576,266,526,879,690,778,585,979,117,305,357,619,817,135,572,973,635,
252,613,006,167,207,213,564,087,628,121,692,559,900,254,119,901,379,190,589,
686,028,586,110,807,959,928,729,973,272,862,934,793,004,506,441,829,807,968,
066,494,668,361,820,936,126,333,825,192,876,859,887,377,039,729,417,116,487,
589,834,430,286,726,974,811,413,480,197,259,808,908,934,418,791,144,010,877,
147,654,000,428,161,240,555,997,073,929,717,686,620,892,493,432,386,273,108,
610,726,855,684,771,094,648,115,743,808,787,064,329,462,384,264,499,596,560,
019,619,641,413,327,244,817,343,949,040,347,642,987,259,132,719,262,944,030,
962,405,956,232,469,608,260,851,574,885,751,097,532,748,840,757,281,387,110,
341,775,414,499,197,943,797,586,318,622,724,921,502,527,935,738,522,279,124,
477,376,672,662,936,462,905,153,317,899,447,500,650,407,080,195,620,472,427,
471,881,710,336,102,890,490,002,656,812,409,543,313,658,639,463,900,841,841,
488,387,235,102,821,535,479,933,657,241,348,128,636,787,252,691,362,998,898,
117,941,457,737,711,675,841,994,943,340,568,434,903,418,642,038,424,515,051,
637,358,392,885,284,893,952,722,701,886,820,161,582,737,289,209,162,611,352,
770,798,549,783,673,202,650,487,822,417,586,293,432,372,431,776,257,709,531,
349,817,620,407,869,624,725,863,790,624,847,660,393,370,248,669,564,820,137,
712,816,872,142,668,841,867,523,868,798,526,863,109,903,136,503,683,855,057,
189,508,483,162,340,651,746,027,454,601,693,295,607,902,504,482,646,675,111,
833,548,932,851,465,630,309,773,862,615,322,176,272,086,709,318,084,612,979,
899,457,117,348,360,930,438,023,310,493,079,933,846,810,720,518,244,531,697,
346,425,599,347,972,180,302,904,129,605,675,362,377,614,074,141,406,925,620,
371,254,539,158,727,660,175,836,182,057,602,640,919,922,802,035,864,857,132,
017,218,215,373,204,031,801,249,221,860,897,641,671,824,530,263,422,931,723,
721,736,077,149,444,164,236,541,870,220,667,691,075,220,196,939,508,694,273,
448,699,711,768,108,305,843,447,588,760,317,961,221,036,093,432,226,043,887,
082,107,397,883,131,733,051,478,537,394,579,218,515,354,142,654,915,609,040,
796,617,733,935,044,812,033,768,913,885,407,334,161,858,807,544,071,422,737,
693,355,342,550,401,628,349,382,120,544,440,750,054,340,952,878,833,674,019,
885,136,768,770,001,443,318,998,916,817,675,591,650,319,544,672,324,916,414,
168,129,228,883,224,404,852,731,301,912,537,373,085,437,581,520,416,888,486,
169,240,275,221,207,688,683,915,502,444,091,070,112,247,528,897,712,526,760,
329,734,043,854,083,501,067,454,922,043,057,275,269,814,533,236,956,636,631,
356,934,568,301,548,869,040,651,279,636,462,376,877,855,042,722,106,188,252,
381,286,710,358,090,963,593,575,056,862,711,176,410,245,242,366,923,222,915,
537,253,364,233,072,793,782,333,708,422,452,923,036,785,347,500,617,684,917,
356,474,186,993,794,360,299,219,178,523,751,052,346,805,752,345,965,777,732,
958,853,235,620,552,733,316,141,174,906,176,843,805,192,735,403,521,587,969,
720,723,588,935,386,699,221,583,238,896,778,305,283,201,558,323,436,889,062,
498,254,751,580,198,418,430,630,338,031,860,372,339,213,141,480,355,776,628,
570,045,728,732,328,509,158,719,924,878,322,798,005,817,799,906,381,720,422,
833,846,139,039,481,320,614,735,908,223,737,139,550,364,657,028,328,798,596,
144,721,647,100,196,963,640,069,116,518,234,586,829,686,723,268,636,920,171,
366,487,278,372,596,626,302,108,103,727,408,909,455,827,615,219,880,346,872,
588,294,368,605,786,914,677,904,374,236,310,356,954,662,834,859,891,124,825,
188,158,150,744,188,881,264,889,414,150,690,266,628,503,579,329,348,699,727,
743,936,228,598,913,231,287,183,895,599,650,856,658,807,335,056,985,999,133,
574,028,425,039,385,977,695,999,706,156,078,327,000,197,201,055,670,279,329,
146,869,876,789,287,880,294,072,469,456,806,374,095,090,211,582,074,698,731,
519,179,086,485,960,535,179,155,895,843,120,733,935,465,022,283,380,181,728,
956,804,659,114,220,786,319,697,168,970,566,504,376,124,827,840,884,852,368,
688,618,746,350,757,478,455,157,333,721,612,520,515,486,433,263,138,462,379,
570,355,702,162,895,853,597,567,125,699,329,417,443,417,695,304,617,348,324,
709,410,435,776,478,506,083,195,241,334,741,553,742,195,765,315,664,797,206,
829,083,117,556,056,975,918,351,340,331,063,785,294,629,635,874,062,002,116,
915,698,474,708,301,537,806,742,198,136,191,656,465,516,531,392,510,804,011,
972,281,607,137,294,233,341,553,249,698,387,063,019,112,157,446,260,462,105,
324,734,889,493,171,857,471,716,357,326,056,576,569,918,764,729,483,700,426,
940,361,083,764,857,930,207,417,517,664,069,744,556,641,987,650,687,187,381,
985,142,699,750,859,316,924,978,038,336,250,927,272,500,604,616,463,232,749,
804,274,993,228,810,841,158,158,781,946,431,045,045,200,418,539,990,331,723,
210,099,781,290,355,788,056,611,736,344,137,666,930,515,301,447,568,701,420,
732,596,428,342,194,319,699,147,450,434,339,290,833,036,564,630,771,867,206,
771,556,645,516,680,950,865,892,691,247,410,672,203,414,474,843,710,206,432,
612,719,345,995,159,498,012,896,541,764,872,364,465,963,890,689,979,087,767,
212,852,211,818,329,017,364,976,509,459,082,610,252,723,322,956,989,606,777,
988,228,254,862,315,146,048,035,000,909,805,798,349,356,369,537,300,314,000,
579,110,115,502,012,494,508,851,378,818,947,184,082,378,725,443,900,080,903,
768,964,508,361,125,816,185,930,893,862,306,734,307,148,803,698,940,609,315,
278,968,306,226,437,645,433,574,014,899,660,164,610,291,346,418,655,627,210,
600,965,300,745,744,770,626,371,244,716,477,290,805,500,376,271,242,831,839,
587,773,663,727,349,039,263,577,238,416,083,205,229,578,294,252,415,938,633,
762,616,459,361,267,535,750,710,976,772,905,420,078,949,651,875,482,072,270,
109,506,635,701,063,903,020,784,745,139,047,629,736,139,655,104,866,493,429,
104,264,088,784,687,803,253,501,148,449,293,964,136,529,073,101,172,923,711,
483,737,887,380,830,376,914,704,867,835,550,732,701,389,999,018,866,610,498,
883,680,517,784,407,131,867,550,329,075,616,563,495,220,201,655,463,972,995,
571,555,872,854,165,536,834,463,695,386,938,966,037,611,866,521,121,070,862,
945,826,414,808,275,218,298,859,285,302,137,215,906,599,179,711,200,093,788,
923,326,561,213,217,814,253,331,942,974,327,584,647,394,332,275,782,236,118,
695,981,609,602,050,001,883,731,834,662,917,811,570,570,425,347,980,925,053,
443,684,025,916,498,382,509,096,192,884,626,351,525,350,093,830,877,171,810,
755,374,530,737,788,107,912,803,951,509,969,999,410,027,858,045,315,803,182,
251,021,870,348,771,941,277,690,190,908,510,975,272,226,228,443,896,278,431,
637,340,175,584,058,181,988,469,432,484,392,613,400,644,576,579,885,701,433,
069,394,331,510,981,072,233,458,773,831,517,264,025,271,617,369,341,246,233,
112,074,751,553,740,725,020,780,319,544,495,440,670,515,649,564,832,552,943,
195,020,853,856,013,129,941,657,520,154,573,793,094,694,448,955,390,147,146,
396,075,962,086,873,694,817,078,207,911,667,701,346,924,612,454,212,186,502,
192,852,440,669,125,941,562,755,385,940,302,089,869,833,692,413,283,451,878,
766,210,135,805,264,031,998,859,041,680,912,431,397,948,130,113,690,789,985,
121,537,859,147,929,594,200,089,908,769,979,125,359,085,901,133,511,977,049,
086,127,221,253,347,816,834,005,845,418,381,892,701,629,902,498,575,932,151,
365,653,132,973,053,228,148,605,018,799,626,345,001,010,093,853,121,984,290,
512,350,153,442,350,017,628,980,693,455,983,897,097,052,104,444,035,287,146,
518,092,734,971,263,839,810,769,292,901,894,711,054,345,617,697,233,023,443,
917,478,899,492,874,354,393,142,154,537,651,719,256,112,781,983,516,042,438,
639,013,996,666,325,271,723,134,287,209,640,769,375,409,883,431,414,820,418,
737,890,468,680,555,659,778,984,409,415,121,430,981,007,503,831,100,014,286,
560,452,039,689,441,309,802,087,922,134,158,167,002,443,440,515,490,185,374,
691,096,446,263,504,599,917,977,859,873,676,084,296,061,792,610,976,590,787,
748,080,828,533,768,166,087,711,635,869,191,865,077,239,744,567,088,594,172,
347,871,196,893,868,967,069,149,583,938,108,074,561,641,145,185,040,256,998,
292,189,134,718,275,642,779,441,060,902,288,403,346,522,193,483,749,268,587,
521,586,832,348,145,820,040,675,898,042,803,903,805,434,797,323,085,320,732,
604,705,166,544,656,396,500,588,410,931,878,387,967,018,594,759,504,131,282,
742,749,245,188,816,776,303,231,061,559,188,659,441,198,328,796,245,695,205,
953,298,173,653,414,013,478,355,951,705,133,688,428,796,417,082,506,649,777,
137,948,037,675,168,377,380,397,239,124,914,464,800,794,029,874,077,708,131,
374,873,954,677,041,989,640,448,931,892,772,968,792,941,442,373,903,660,602,
593,571,113,707,258,095,088,890,931,778,089,497,141,178,298,414,625,273,926,
970,086,847,579,498,017,786,807,407,867,774,608,918,967,551,701,022,886,746,
179,400,764,674,331,789,614,110,139,735,109,479,522,050,264,327,467,332,573,
043,211,556,645,289,838,201,494,099,586,361,895,603,182,417,025,901,129,876,
902,973,109,066,060,644,589,802,824,760,282,290,865,691,872,415,851,119,269,
793,022,182,235,588,285,115,093,787,559,277,979,145,421,197,162,211,232,910,
487,759,499,997,373,578,438,477,941,119,796,781,874,145,666,994,559,490,579,
662,882,735,177,203,246,955,557,260,172,549,895,419,979,050,746,772,663,553,
163,991,442,348,563,072,820,249,242,499,218,013,489,005,551,527,920,356,388,
516,238,155,065,975,368,850,086,771,247,152,166,663,980,516,773,079,182,865,
610,322,017,682,166,861,689,621,144,475,603,064,547,230,817,697,671,194,823,
103,433,148,815,333,786,278,743,868,507,329,774,912,371,248,251,640,773,404,
455,830,630,629,316,068,124,459,024,224,337,425,487,372,026,612,434,544,330,
941,600,529,899,222,994,403,940,616,373,418,495,835,746,378,678,639,730,828,
529,576,751,447,371,661,745,059,518,166,334,439,038,104,724,672,983,273,467,
012,108,007,579,813,171,732,915,153,387,554,687,153,520,874,084,450,960,670,
285,248,103,375,673,934,749,009,423,235,039,277,551,065,194,460,588,033,780,
076,295,716,599,186,265,525,624,090,520,656,994,943,729,810,012,270,937,942,
875,525,772,495,068,484,095,343,911,371,811,046,024,201,559,416,385,237,792,
578,327,046,319,648,989,903,352,095,125,588,045,120,137,194,919,948,745,247,
387,807,255,686,536,014,322,781,971,178,590,867,192,363,712,593,813,835,445,
451,073,783,196,554,735,091,504,925,058,985,371,089,505,578,277,024,063,732,
494,986,356,329,741,180,667,146,447,349,199,771,103,896,383,887,364,037,635,
237,677,253,861,055,126,164,353,993,922,933,055,635,583,879,253,094,812,527,
064,476,793,360,912,768,785,520,055,797,406,530,519,685,827,302,828,752,163,
062,092,607,549,045,402,149,677,440,017,989,327,819,971,215,869,854,574,491,
256,327,590,129,435,806,657,097,877,381,986,349,358,584,252,165,262,052,569,
554,919,174,600,999,212,062,518,637,935,823,053,208,626,681,057,395,848,632,
140,910,596,739,594,630,650,438,140,140,443,914,458,812,087,275,535,800,699,
652,482,275,529,398,723,623,298,880,384,182,298,196,947,112,935,691,637,789,
077,631,950,437,403,318,242,836,272,181,981,177,841,373,294,414,462,951,551,
184,269,040,420,886,336,870,562,488,507,727,092,599,157,988,390,682,681,768,
259,784,488,984,505,595,268,722,944,491,368,939,542,713,398,378,781,477,644,
144,691,420,663,590,354,793,504,687,308,134,227,356,447,260,508,102,580,072,
636,872,004,286,258,606,612,071,871,021,001,716,243,694,692,022,050,409,013,
328,373,272,869,807,989,637,218,298,321,523,697,135,720,630,931,730,059,120,
724,317,883,594,402,744,953,245,132,000,294,045,386,325,841,954,513,017,942,
976,489,705,011,061,020,751,437,364,671,137,350,603,156,515,428,980,952,164,
116,351,181,311,189,170,037,245,765,948,665,381,080,152,145,473,824,046,749,
899,347,194,165,653,356,165,252,324,086,788,350,426,088,699,834,471,513,649,
669,061,828,075,346,134,358,235,370,315,947,797,890,974,606,387,499,540,747,
003,021,499,992,525,748,130,551,130,433,658,657,368,010,114,604,776,506,731,
841,799,997,601,029,648,139,790,778,537,567,010,690,465,240,020,511,351,611,
523,959,295,638,147,186,829,105,933,681,337,472,327,644,129,219,924,174,736,
924,462,726,485,455,832,132,923,466,355,793,864,673,359,038,880,231,439,117,
466,942,903,572,769,679,401,952,913,624,186,055,570,329,148,330,809,606,557,
048,220,824,081,472,342,364,364,071,953,901,955,606,679,955,745,929,972,716,
322,810,825,447,633,332,247,395,986,496,525,644,632,845,361,197,013,756,515,
875,374,283,061,686,889,231,459,910,614,512,830,503,956,790,411,231,586,786,
162,763,912,325,410,413,710,975,989,181,466,752,164,754,631,441,423,406,095,
997,750,268,736,958,221,327,596,360,783,794,804,046,271,451,168,918,536,384,
987,003,538,702,289,222,848,515,853,723,678,967,180,153,801,146,483,472,779,
978,687,815,265,970,705,767,245,105,795,269,005,855,655,783,295,779,897,262,
092,664,741,000,364,793,840,805,806,412,265,945,642,911,403,753,812,307,326,
314,162,574,131,177,054,462,004,329,364,946,212,361,857,700,035,735,523,908,
655,982,876,464,609,752,354,569,966,171,219,238,877,481,915,738,396,300,133,
194,118,515,265,418,871,503,440,315,535,780,468,767,750,377,894,943,519,420,
681,029,223,595,073,200,338,876,221,847,348,025,118,667,562,510,661,099,897,
055,993,122,764,448,346,012,924,145,934,764,140,937,817,578,187,329,295,923,
129,452,454,443,019,496,236,181,975,370,675,150,505,757,302,335,351,692,645,
076,680,841,598,922,126,026,902,428,674,207,767,768,546,979,879,881,058,201,
780,882,260,135,315,862,867,582,685,121,585,557,871,659,058,913,800,707,905,
165,699,355,397,370,959,713,126,095,222,678,928,864,796,925,518,221,518,698,
706,801,250,190,141,244,614,751,524,919,220,049,168,808,306,420,399,267,956,
519,072,375,638,262,859,825,961,336,486,976,573,505,796,323,305,880,188,836,
913,458,497,258,264,955,537,991,243,948,799,325,848,299,217,383,434,128,989,
922,924,526,355,049,987,715,776,748,706,994,693,839,711,834,057,181,268,470,
193,621,228,417,483,504,079,643,873,137,606,239,033,852,634,760,142,697,477,
721,477,377,394,883,168,422,513,033,232,241,262,994,329,873,496,393,369,323,
268,212,996,709,662,146,928,336,247,448,625,745,427,848,490,484,826,553,499,
956,452,722,068,847,205,642,824,289,333,678,332,930,138,700,557,851,566,745,
494,015,414,139,014,677,215,726,439,635,645,370,217,775,722,230,224,125,596,
334,510,745,198,665,506,554,233,687,475,555,001,107,165,921,726,998,387,547,
122,286,049,729,415,029,442,243,824,989,364,096,631,050,463,263,753,463,842,
736,185,002,081,963,293,171,058,039,516,622,837,789,425,119,097,436,647,057,
727,815,870,450,224,809,152,330,648,745,041,120,635,616,219,853,080,961,859,
485,387,961,161,726,567,967,877,607,523,574,093,776,818,435,102,335,729,091,
013,476,911,738,715,041,505,020,989,922,222,990,861,232,999,307,014,011,343,
795,736,104,674,466,780,845,360,465,003,255,103,675,663,909,174,325,967,489,
415,551,286,383,595,454,385,319,529,814,852,232,468,371,212,067,988,223,855,
983,889,359,275,895,611,440,258,174,319,344,929,689,101,346,122,178,895,114,
201,115,074,260,710,772,475,595,363,836,142,075,766,667,163,613,693,358,701,
613,743,410,010,944,036,111,547,091,295,271,229,443,617,466,684,969,607,962,
550,990,399,363,901,722,745,905,758,186,616,128,547,039,600,423,925,637,230,
859,796,603,001,846,835,411,966,050,112,048,184,931,630,480,182,819,782,952,
176,074,721,735,626,385,340,403,841,034,587,463,952,869,232,484,307,747,048,
431,210,665,840,259,446,103,599,782,632,948,950,494,590,916,036,597,132,254,
609,284,260,615,385,340,904,375,720,036,376,864,814,013,871,098,869,339,552,
402,376,350,263,451,379,334,528,759,385,504,438,090,733,704,300,939,224,062,
680,332,548,672,580,775,423,621,032,187,525,118,877,691,641,224,863,612,271,
089,551,195,827,297,562,575,492,156,383,005,840,595,544,009,367,738,433,965,
410,199,604,427,235,854,714,591,172,654,170,503,017,140,286,794,869,367,326,
867,554,637,530,115,120,914,736,758,118,226,339,067,288,785,862,281,911,420,
797,827,214,381,719,141,700,050,859,506,881,411,203,708,340,569,245,677,024,
889,680,311,654,691,286,184,296,781,786,118,743,772,790,012,039,778,440,619,
160,510,004,460,624,733,083,677,222,711,709,889,433,380,188,006,249,296,185,
874,531,578,852,901,492,960,864,647,653,023,146,718,900,542,043,225,079,240,
943,099,564,330,699,440,916,813,175,262,306,219,227,829,273,223,091,565,572,
035,270,513,667,243,764,110,329,030,616,288,005,804,488,418,548,189,124,688,
492,985,475,039,901,259,601,477,143,332,801,472,593,868,403,725,278,742,871,
801,313,964,620,932,764,166,346,069,440,031,495,562,760,179,100,690,523,052,
750,687,515,143,196,750,244,512,144,851,698,666,245,218,904,357,490,692,293,
562,739,224,503,902,549,747,679,498,285,539,261,899,549,898,134,555,973,106,
075,505,294,642,074,765,677,905,086,085,765,187,901,862,797,341,621,245,072,
416,010,741,571,524,818,120,001,048,873,677,971,204,607,589,993,241,508,466,
607,355,941,071,992,350,427,089,339,537,679,606,917,718,351,876,874,201,840,
711,123,192,823,849,385,099,506,771,542,077,259,437,315,512,095,232,238,011,
136,506,706,957,017,625,421,088,865,279,119,176,882,050,060,350,455,167,939,
389,177,192,242,442,949,007,628,815,074,404,148,118,435,252,273,828,752,688,
873,635,067,798,416,205,433,553,178,384,076,214,271,329,812,012,320,713,022,
171,329,484,763,883,665,793,194,650,468,920,809,927,714,136,471,989,431,598,
859,794,843,212,273,119,252,109,453,882,805,484,521,673,308,443,045,928,526,
779,563,513,618,580,171,774,593,736,516,869,696,031,076,188,084,940,533,128,
897,040,608,375,041,257,761,049,200,387,022,306,991,904,997,346,125,792,306,
700,654,660,379,478,525,102,017,448,036,681,155,329,275,543,182,372,511,388,
205,528,668,657,710,487,826,941,094,887,262,670,892,559,473,255,476,696,419,
758,391,332,842,958,264,426,438,892,931,076,848,159,820,953,870,518,256,943,
552,970,586,735,073,799,023,870,496,777,853,694,439,795,250,997,646,764,452,
906,796,022,599,420,020,512,524,181,796,078,977,770,701,358,124,972,529,988,
632,728,046,222,842,695,176,984,029,764,433,810,492,539,324,767,186,662,665,
019,158,404,984,338,297,839,236,257,335,541,651,221,838,076,203,772,862,875,
657,830,729,446,326,407,799,181,394,095,462,335,718,923,180,435,043,937,383,
925,481,008,564,565,185,600,625,781,416,672,386,020,495,559,089,202,238,521,
600,334,782,311,708,823,886,620,420,594,715,741,342,260,674,183,488,398,162,
106,091,279,516,813,983,884,242,007,117,570,012,889,432,518,311,927,822,488,
098,334,476,589,179,690,160,449,025,326,457,707,052,337,401,412,769,716,545,
720,120,796,741,105,168,378,690,226,220,989,390,945,533,325,187,712,296,455,
967,043,316,852,578,230,151,220,549,912,276,595,597,516,903,696,757,657,694,
264,505,697,137,727,773,048,874,374,641,558,405,141,731,775,526,990,804,339,
413,559,780,620,415,787,194,300,841,691,306,132,374,165,725,855,942,922,791,
703,576,985,031,003,411,928,364,805,645,811,208,477,553,270,929,296,294,241,
723,616,454,721,155,757,490,846,361,571,201,529,784,050,038,928,482,613,045,
442,548,269,232,106,725,494,968,604,211,903,834,053,039,554,092,176,034,956,
565,357,878,265,915,027,525,011,947,539,877,660,331,913,137,465,592,410,039,
979,590,316,597,177,716,817,632,067,958,546,045,913,569,635,638,250,013,994,
941,191,820,012,193,457,419,497,793,532,675,518,124,989,462,107,602,757,494,
021,326,300,859,182,361,511,345,325,967,219,167,721,239,962,116,200,746,424,
685,774,711,841,355,221,777,939,724,338,406,849,004,490,777,220,758,412,835,
213,915,211,176,348,944,485,248,975,442,502,353,780,875,986,867,712,015,383,
268,002,269,011,171,902,377,526,650,452,672,480,826,623,420,776,298,510,160,
651,623,326,461,612,507,460,441,260,208,734,456,189,504,488,405,302,683,424,
389,607,445,851,799,903,208,642,122,385,425,586,574,387,314,488,321,665,148,
554,816,101,560,626,471,191,685,853,994,245,058,292,583,495,132,966,765,716,
215,697,093,984,876,319,332,420,355,744,770,773,111,561,744,988,149,397,719,
004,711,980,327,680,592,302,243,800,433,872,851,558,025,117,600,378,554,473,
744,220,195,312,658,855,465,791,435,189,719,634,350,413,964,706,972,161,358,
415,605,293,723,355,125,910,296,686,812,820,161,039,413,634,748,474,489,723,
618,415,997,740,873,129,059,033,542,321,062,907,043,704,827,179,738,533,662,
526,978,449,498,288,145,330,332,128,345,240,326,904,694,235,034,958,580,403,
023,234,099,093,194,306,238,350,737,961,660,719,727,884,373,693,026,276,394,
481,574,439,115,698,327,249,081,807,104,146,523,650,183,611,414,819,586,413,
293,872,934,887,731,910,659,233,168,982,966,720,565,723,070,800,469,162,832,
768,385,960,310,691,383,892,790,023,970,143,958,886,372,109,976,079,391,919,
858,579,555,403,547,892,048,089,806,823,480,166,057,885,960,716,287,458,765,
527,378,467,703,096,492,388,079,474,185,806,497,994,693,545,157,315,300,795,
192,830,650,431,900,835,111,826,234,424,829,770,631,187,386,482,930,904,705,
615,152,233,497,842,293,534,785,643,661,086,451,396,450,612,707,068,463,757,
913,328,641,300,216,666,402,179,662,765,262,412,759,478,735,304,268,530,814,
985,169,279,850,562,399,169,642,839,623,938,811,882,960,011,707,249,602,068,
198,681,425,663,875,567,914,633,944,478,373,404,007,702,527,670,600,382,360,
859,333,434,150,703,033,607,078,570,083,759,309,226,517,887,742,159,320,731,
663,783,401,915,517,371,653,798,571,248,612,228,882,401,383,611,468,413,668,
665,908,339,364,093,337,643,500,009,292,016,893,583,450,383,857,254,216,093,
934,723,286,001,924,839,968,029,910,783,363,285,452,993,244,758,565,160,797,
200,422,644,519,195,803,588,611,826,173,287,186,193,839,396,746,333,771,904,
812,893,676,374,622,891,941,958,141,283,976,049,990,975,579,857,420,380,572,
459,648,247,878,532,702,912,919,541,572,850,300,258,464,022,023,010,545,231,
884,471,160,163,604,251,196,078,279,426,414,651,387,798,761,854,006,971,413,
054,895,214,304,003,587,287,752,572,081,654,742,850,624,989,912,911,448,649,
166,939,723,787,454,357,925,851,728,520,893,360,301,878,676,711,523,245,317,
357,991,317,980,615,907,751,621,315,780,301,333,052,386,074,820,181,428,723,
597,389,466,022,779,378,963,890,602,277,437,957,837,820,548,199,364,552,937,
858,002,826,395,085,426,185,950,233,523,014,186,619,302,475,843,030,300,898,
005,094,639,174,632,225,451,827,068,805,125,733,995,984,650,588,208,433,673,
623,035,957,396,797,434,009,788,301,437,697,759,792,140,578,597,846,390,155,
384,162,055,198,960,489,982,653,788,240,643,053,839,731,746,242,910,241,593,
676,556,942,753,683,503,336,572,771,192,123,117,069,997,780,422,171,294,948,
413,255,038,866,753,639,856,095,531,265,035,158,102,593,877,767,057,366,182,
821,665,052,969,910,679,388,223,728,535,149,872,457,225,796,501,078,216,418,
901,977,602,860,101,188,878,859,842,474,316,644,938,640,942,935,000,917,027,
125,303,126,317,749,250,066,626,416,567,363,927,298,832,607,532,060,582,006,
083,899,447,386,776,186,510,060,550,806,989,893,005,831,688,168,823,093,426,
811,684,059,008,612,136,824,293,394,236,368,139,367,644,370,522,591,179,824,
656,933,016,638,413,337,195,657,581,561,505,325,263,986,779,686,099,558,770,
355,313,078,470,388,144,443,873,760,683,694,781,412,028,804,582,558,694,330,
471,734,668,884,822,501,855,744,357,387,901,312,203,867,780,200,595,376,914,
042,227,999,302,887,860,763,717,314,776,686,574,357,389,931,984,731,436,761,
003,433,035,968,001,649,623,505,895,470,652,005,165,120,551,376,776,976,436,
853,300,113,519,269,627,639,909,852,079,026,422,357,634,047,487,883,264,579,
513,543,406,566,875,842,463,765,955,526,027,715,842,199,765,584,865,169,450,
185,834,795,817,233,610,548,101,794,804,729,574,459,061,077,029,984,460,398,
597,797,739,866,480,327,220,719,336,082,599,191,896,636,435,165,800,391,530,
982,497,699,959,765,086,545,065,614,967,210,045,599,625,564,468,841,594,322,
599,938,244,650,899,976,203,483,944,102,634,430,770,049,809,041,525,153,266,
618,703,595,728,398,379,158,725,032,329,801,680,177,163,134,533,089,844,197,
629,130,731,949,789,317,894,465,423,151,045,156,914,064,426,753,045,533,550,
427,579,506,161,061,955,417,906,987,392,768,715,063,273,826,802,470,199,404,
257,238,646,878,058,789,930,619,513,110,343,183,944,043,556,188,161,214,721,
080,566,911,018,691,499,644,018,227,585,610,880,930,107,946,352,162,458,474,
040,304,986,484,161,253,282,539,354,120,710,086,411,511,964,915,675,698,102,
261,109,350,320,288,878,445,684,975,366,510,677,157,780,074,849,816,166,943,
404,246,801,102,539,422,179,392,262,074,419,929,272,149,276,427,425,479,931,
823,335,959,024,375,055,565,408,295,283,857,741,253,602,567,511,714,777,797,
735,585,510,195,716,812,939,731,557,742,857,505,366,434,038,209,835,562,182,
872,831,369,142,240,961,995,039,845,841,865,003,161,407,696,232,156,133,249,
103,998,952,968,735,670,247,512,920,426,127,527,370,663,459,343,430,610,649,
278,076,574,813,837,150,762,941,617,929,918,484,872,314,055,785,247,540,331,
564,276,840,974,685,074,926,407,911,789,230,758,710,443,416,565,536,228,638,
962,116,142,071,171,750,919,003,749,802,699,414,783,497,806,895,304,339,122,
051,077,635,937,392,626,073,902,810,019,723,763,355,599,050,842,665,583,623,
868,898,172,322,094,217,552,276,901,564,180,254,432,397,298,433,041,118,221,
465,225,225,736,795,589,648,278,077,326,347,747,990,756,197,223,745,377,651,
481,238,819,024,168,524,186,075,627,629,607,295,540,415,038,025,034,505,241,
394,494,616,780,943,193,928,786,539,263,887,328,462,077,456,841,519,272,600,
939,161,343,716,526,677,238,639,960,754,814,583,363,725,106,891,175,889,626,
357,599,222,567,263,029,447,506,643,855,068,233,928,618,415,106,243,276,675,
912,763,195,899,182,838,570,486,156,564,927,068,848,097,857,289,908,008,810,
504,087,911,638,486,226,299,723,857,334,456,563,874,449,466,526,493,548,255,
581,064,958,081,039,895,172,104,987,280,967,758,708,311,433,299,090,432,477,
091,833,221,343,114,084,288,569,416,098,926,235,164,272,079,799,860,785,792,
250,277,436,504,059,792,567,226,356,402,734,902,958,862,294,504,306,497,239,
538,914,405,929,010,808,571,164,813,565,985,315,696,226,554,303,667,152,583,
716,486,571,091,361,715,069,286,164,884,504,648,248,253,647,142,672,814,871,
521,405,841,297,499,552,352,406,268,515,954,040,713,654,988,632,827,135,362,
185,384,851,047,519,873,313,701,331,722,016,665,844,294,225,893,340,416,082,
654,183,341,069,317,281,704,512,459,514,343,035,538,946,847,077,794,798,790,
579,985,209,236,262,986,347,360,838,432,990,823,015,190,156,412,194,329,835,
360,222,907,629,309,433,769,639,004,146,262,968,925,825,767,769,534,221,002,
150,306,875,328,081,687,182,398,108,824,045,463,267,407,639,668,998,829,104,
926,441,691,188,124,745,053,865,948,383,438,980,836,136,642,570,873,156,108,
467,933,772,358,846,229,114,556,207,961,125,203,093,248,084,324,918,235,189,
738,917,765,037,603,817,630,121,109,451,824,944,276,084,541,690,959,372,318,
865,250,096,010,335,446,874,803,865,624,918,910,370,109,077,377,514,544,988,
900,785,212,142,162,108,983,864,787,338,059,888,145,103,541,677,676,139,197,
840,435,355,100,764,630,002,484,861,675,256,644,878,680,470,517,629,525,247,
993,781,989,372,712,195,998,870,724,013,411,033,425,449,041,459,192,670,079,
189,358,150,018,046,654,556,074,696,662,698,359,589,238,288,511,862,890,406,
819,092,245,541,984,943,682,986,374,811,628,361,322,303,100,021,630,532,439,
016,509,358,649,585,132,873,517,456,738,003,113,379,785,046,044,114,822,496,
034,124,667,973,122,208,029,079,703,728,167,332,117,015,604,554,745,119,903,
280,385,709,112,299,175,759,651,918,791,613,123,384,396,042,096,260,781,855,
354,383,998,483,398,676,527,445,904,578,260,124,945,327,410,970,118,579,536,
007,350,648,050,216,068,811,514,596,381,222,314,000,119,681,759,161,166,835,
094,714,813,190,055,740,936,181,060,743,842,545,273,667,399,562,957,394,171,
097,549,505,544,574,305,435,809,393,254,557,227,593,719,586,424,943,813,582,
749,707,373,469,873,045,704,417,541,614,321,922,123,665,563,426,551,069,757,
349,788,465,818,028,823,401,211,847,527,760,374,752,514,494,322,232,864,861,
312,642,121,737,861,226,709,969,255,010,958,636,270,113,228,448,387,940,092,
576,577,480,185,898,440,726,368,127,296,864,068,266,364,487,341,069,766,642,
091,910,819,210,499,283,150,008,389,299,626,061,609,236,960,789,048,666,714,
624,478,427,902,432,625,005,845,705,116,867,694,054,619,452,726,943,694,866,
125,335,378,668,241,832,108,083,525,760,478,349,238,475,113,529,142,048,229,
611,165,522,792,503,802,496,871,253,689,113,638,956,772,056,966,288,539,710,
190,940,065,236,331,262,206,562,493,840,806,475,434,304,203,266,172,755,676,
018,321,374,580,753,196,828,719,189,787,862,307,611,783,287,470,548,303,891,
925,725,445,806,704,998,267,073,559,952,786,527,578,849,179,518,210,445,452,
723,610,092,351,510,554,594,422,646,767,509,926,934,465,201,196,663,182,615,
436,736,315,926,380,671,977,274,105,215,789,150,216,488,329,079,724,880,527,
691,338,646,129,734,318,040,652,978,195,854,656,834,530,707,541,784,676,703,
675,466,778,725,896,420,406,236,375,124,405,196,476,625,927,121,689,549,506,
001,026,338,360,172,532,524,515,381,025,281,526,438,326,224,226,152,870,212,
372,701,705,497,427,888,596,944,765,168,347,871,953,982,931,607,403,936,847,
450,725,554,685,743,545,166,505,751,785,036,519,796,659,951,280,473,095,150,
662,265,627,750,457,490,129,674,236,804,567,839,042,340,767,246,509,664,045,
784,706,279,821,304,703,486,578,396,801,038,063,444,132,985,791,615,148,733,
895,774,116,317,606,261,015,868,882,214,202,348,834,409,654,113,321,399,961,
242,454,250,033,854,856,641,875,903,978,103,147,088,002,662,183,699,416,466,
331,709,752,945,422,890,964,672,847,978,098,331,484,608,365,147,056,905,672,
439,439,684,170,450,648,316,283,796,076,768,462,057,407,361,576,910,149,555,
863,837,892,189,418,163,595,514,282,031,450,394,990,891,279,358,106,457,684,
441,557,963,130,790,817,921,857,370,193,180,939,271,867,277,723,200,005,380,
607,800,760,997,698,310,637,754,929,805,488,211,232,089,872,965,631,706,587,
067,282,556,080,491,095,313,377,862,999,038,336,059,986,840,404,169,506,909,
301,787,732,310,335,488,896,177,855,938,358,595,904,868,496,917,712,857,800,
482,557,024,183,269,234,217,561,453,452,722,953,624,162,523,079,284,252,589,
482,460,018,700,922,296,406,944,747,364,142,981,454,620,950,369,941,130,513,
735,071,787,223,820,129,108,991,106,010,587,073,734,769,868,422,557,780,994,
922,833,910,087,011,796,865,314,881,342,067,763,598,206,847,814,650,665,195,
029,043,600,877,764,372,418,962,867,013,012,445,633,430,428,634,685,186,764,
616,897,032,294,142,127,414,485,446,257,715,272,527,822,432,486,199,752,027,
924,141,506,892,686,144,857,663,386,737,559,404,103,767,458,485,151,168,909,
257,228,850,172,254,257,529,860,936,206,234,037,637,785,922,304,440,346,166,
201,365,821,951,969,868,996,184,330,994,791,404,546,105,826,914,203,698,423,
235,551,182,851,164,508,550,550,599,009,827,285,576,314,277,589,066,870,914,
400,689,904,587,587,887,354,103,655,058,049,728,917,949,875,396,003,604,860,
782,515,666,492,246,792,222,147,089,800,527,252,052,102,215,707,186,212,164,
643,125,273,421,292,926,473,829,541,786,910,836,238,268,208,467,680,252,832,
242,895,908,718,408,266,791,324,435,594,963,258,268,396,473,613,995,861,342,
720,829,330,944,890,825,128,659,021,648,848,137,065,571,289,179,917,287,034,
286,450,739,763,874,565,241,099,321,574,223,789,412,873,454,489,445,803,029,
991,498,730,632,943,703,490,825,437,306,461,588,155,693,128,997,191,999,339,
239,399,745,217,886,219,406,461,598,263,523,664,448,036,975,593,363,203,662,
755,326,538,326,927,358,746,950,127,584,489,919,222,302,343,260,825,484,840,
153,601,650,722,183,932,320,194,752,650,854,663,571,344,399,973,172,653,632,
467,102,840,537,865,888,617,322,587,235,061,973,721,145,979,382,580,337,456,
372,716,214,435,355,896,311,603,287,566,672,030,040,433,667,172,099,744,013,
540,148,183,662,940,916,614,042,975,739,995,827,533,298,687,162,126,447,165,
066,453,326,618,432,607,861,367,149,871,169,868,922,479,607,916,610,895,231,
841,429,139,882,815,982,504,050,032,692,761,237,549,150,143,937,973,494,482,
235,456,856,249,530,548,146,479,958,313,154,703,979,131,106,342,355,214,942,
337,926,311,811,062,082,463,358,511,630,951,584,639,011,537,959,049,387,596,
004,216,185,149,292,312,867,784,285,656,740,709,721,601,877,429,290,434,395,
964,194,752,508,638,400,074,236,447,725,947,512,712,015,620,589,064,857,859,
719,414,451,890,999,048,441,144,723,078,404,783,003,843,145,366,468,952,897,
494,449,666,601,331,757,035,549,939,691,112,723,108,928,921,669,166,220,243,
966,359,240,014,124,908,285,151,899,032,672,804,482,667,169,812,774,695,961,
148,008,601,946,007,602,454,458,411,002,269,930,667,809,707,777,600,346,359,
677,190,513,184,068,884,794,002,849,003,851,551,083,204,806,779,177,811,579,
074,256,362,808,538,355,376,147,309,643,740,894,485,689,332,722,906,745,940,
308,323,166,854,549,591,572,413,569,640,878,846,021,514,810,413,213,783,920,
880,058,162,639,851,145,615,239,298,973,273,605,588,110,501,169,586,294,038,
054,845,591,166,689,374,578,979,948,494,008,833,046,924,903,841,812,127,891,
860,620,853,003,677,934,670,682,672,570,060,532,037,484,395,831,756,347,499,
772,066,413,489,066,991,107,870,378,919,830,374,470,213,499,658,670,482,874,
732,576,677,068,929,371,659,321,203,655,641,056,662,305,220,348,558,404,360,
096,011,429,024,898,254,671,620,394,004,503,157,465,047,507,332,392,645,859,
531,125,080,113,819,562,014,955,951,609,721,937,730,564,622,526,905,725,023,
601,057,039,616,743,095,875,868,198,170,561,544,396,926,010,085,452,213,242,
241,468,071,851,075,533,844,779,754,007,006,210,838,016,637,335,851,566,628,
316,013,469,669,340,215,675,861,379,439,493,589,066,922,531,649,950,937,386,
941,274,214,787,410,338,304,420,447,078,442,975,451,446,115,339,991,398,504,
950,041,654,065,104,239,646,100,911,012,062,172,777,435,743,431,609,103,767,
878,458,414,708,786,390,355,174,969,942,485,353,637,112,585,155,958,358,068,
812,186,498,772,331,360,534,062,480,015,713,142,820,682,886,319,221,408,941,
961,241,000,400,541,582,374,446,379,932,921,378,329,702,910,549,637,958,440,
476,605,610,916,708,487,266,205,858,482,373,114,047,913,219,913,223,057,253,
111,981,616,050,007,389,201,458,474,204,537,200,721,973,892,085,284,329,882,
654,146,575,785,434,807,832,735,831,337,942,913,347,089,657,420,636,664,723,
600,464,424,483,460,130,388,571,577,151,961,021,736,268,362,693,769,538,806,
373,776,397,892,319,480,900,825,376,813,506,459,306,504,433,801,814,431,872,
084,414,102,895,521,721,171,180,046,700,523,377,268,848,582,472,670,462,596,
175,297,690,458,042,564,635,012,804,566,044,169,960,124,314,475,279,460,917,
798,265,016,356,845,838,610,250,351,569,974,845,940,692,494,367,813,022,134,
748,746,886,579,868,740,212,068,064,655,995,939,941,333,474,437,262,286,160,
271,539,396,931,670,744,393,573,416,051,245,451,928,034,006,372,478,462,110,
370,514,651,285,365,693,066,131,848,544,863,878,982,137,439,758,718,728,336,
196,411,644,247,048,057,763,798,394,046,660,728,609,689,184,402,501,967,841,
413,232,312,836,388,612,111,870,390,798,633,050,884,518,454,065,029,106,768,
958,457,198,459,120,437,638,871,018,530,490,323,526,514,901,660,229,610,338,
295,078,115,545,313,744,795,258,463,117,451,131,363,476,382,816,032,646,529,
508,693,186,583,241,195,911,157,929,693,335,470,030,060,523,732,934,306,023,
644,926,580,296,331,867,851,894,798,514,452,602,855,071,285,308,880,006,681,
843,594,197,480,829,180,707,871,040,770,876,330,167,515,959,144,619,637,869,
149,873,534,011,581,579,792,950,609,338,098,464,936,431,107,381,909,183,459,
659,450,533,454,219,610,532,794,924,390,249,118,877,274,443,593,448,026,712,
003,356,026,569,370,215,063,307,779,637,741,739,316,735,159,778,824,369,158,
875,599,955,988,422,509,843,586,858,209,870,630,698,258,177,004,225,949,598,
661,336,871,354,266,319,637,862,369,748,971,366,951,560,421,819,625,408,774,
937,561,950,564,961,431,676,202,467,301,572,965,367,070,602,724,632,762,182,
214,675,487,998,698,275,670,682,070,483,586,870,744,194,357,697,617,045,213,
561,893,680,680,573,183,378,941,605,723,820,165,503,576,402,416,175,047,686,
769,100,003,771,574,875,452,772,350,098,219,978,035,718,242,487,573,147,073,
250,593,794,123,508,092,167,511,687,377,476,584,542,324,419,775,765,109,222,
365,636,261,946,333,491,742,875,701,928,411,839,557,662,925,101,704,283,055,
978,399,225,174,569,962,131,914,306,313,757,625,313,672,859,585,430,442,009,
700,748,435,489,963,953,395,762,390,512,863,462,691,063,205,420,569,391,675,
323,546,764,813,410,376,513,550,693,274,416,917,385,372,473,903,981,050,899,
123,650,158,600,079,167,545,025,945,533,910,635,930,381,055,869,277,270,707,
168,435,743,924,238,607,435,607,430,973,531,610,153,440,639,605,914,952,810,
645,167,625,904,454,296,314,939,192,841,966,619,757,159,884,752,822,676,246,
332,437,771,562,414,966,651,611,004,249,628,951,880,585,284,849,138,595,707,
495,042,685,276,615,395,240,837,995,409,364,572,451,785,604,074,259,860,288,
820,212,972,149,797,275,353,612,242,166,720,485,317,510,627,104,911,289,208,
900,975,323,138,844,662,272,043,898,842,424,340,391,441,656,121,233,231,906,
555,628,283,746,155,991,060,993,847,097,403,943,799,268,955,728,397,247,440,
864,375,155,836,078,586,872,861,009,415,067,731,441,671,930,653,636,497,844,
044,835,848,443,743,035,707,156,316,881,370,976,883,643,079,866,473,644,795,
357,675,585,409,947,021,031,281,792,482,443,975,564,885,685,325,369,820,938,
483,890,977,491,775,647,688,835,718,947,938,151,593,869,715,323,955,377,169,
850,748,447,073,501,955,301,758,711,306,607,636,868,493,857,698,564,097,961,
938,699,227,788,200,629,803,556,910,456,680,647,814,462,213,551,985,425,302,
055,837,807,539,340,499,491,526,566,549,143,545,953,848,332,507,491,627,848,
422,504,239,678,354,679,064,744,855,940,827,840,959,851,724,762,268,730,456,
323,636,793,834,849,230,315,397,338,083,639,355,670,220,310,086,646,451,074,
703,223,684,432,073,432,031,862,493,457,360,469,253,409,298,619,709,982,094,
187,448,995,236,726,243,533,095,508,239,990,278,468,115,136,577,700,642,452,
497,939,468,895,330,724,690,697,929,927,377,540,590,887,613,068,719,295,105,
869,384,574,504,180,321,263,647,167,386,342,543,866,523,023,281,280,731,664,
746,227,388,709,291,324,220,154,771,834,052,807,824,230,444,897,316,277,575,
358,258,340,641,298,942,741,617,257,878,866,822,287,833,879,824,100,423,893,
708,246,912,808,231,665,803,451,346,693,480,092,659,952,396,483,200,495,206,
799,310,099,671,610,011,471,790,553,363,435,941,915,958,853,671,507,087,735,
077,637,808,188,857,198,163,503,343,205,353,064,079,050,434,935,538,123,618,
268,424,483,721,256,631,143,568,609,036,929,625,864,498,678,677,764,212,285,
626,250,873,083,944,021,322,087,978,922,647,040,307,901,100,582,658,633,071,
081,237,882,810,816,650,593,733,637,125,042,032,306,102,864,439,682,031,102,
226,724,265,983,408,406,429,457,387,681,242,715,609,920,208,998,067,176,705,
947,990,378,709,982,200,791,852,371,884,685,824,271,490,962,109,630,937,276,
324,799,883,280,984,936,155,482,437,877,255,803,783,589,962,177,375,319,721,
011,985,669,172,946,357,399,424,772,607,060,346,569,211,371,912,907,798,698,
388,340,017,897,706,972,603,780,921,015,718,959,473,431,318,677,303,633,694,
830,764,277,054,787,308,449,173,708,826,298,709,716,510,484,850,731,379,981,
616,435,359,923,522,936,577,727,608,059,205,605,451,976,654,743,632,393,015,
900,094,473,623,089,881,423,598,103,804,321,429,804,037,160,132,850,668,300,
016,336,841,550,009,603,934,193,278,632,980,790,183,295,534,975,055,225,059,
315,603,781,237,659,604,245,149,550,353,614,454,518,094,676,835,086,619,755,
834,794,809,103,960,094,928,323,198,764,820,167,337,304,826,618,220,187,026,
171,151,076,067,764,110,401,953,392,543,542,501,109,525,380,989,784,566,980,
871,972,758,466,146,291,056,678,603,946,156,322,865,465,027,730,352,570,358,
208,176,064,732,873,811,682,661,873,565,095,631,797,402,252,594,523,001,680,
461,122,410,303,198,818,459,393,748,778,171,495,050,509,621,018,958,998,736,
790,614,826,792,037,178,635,689,154,233,112,588,514,399,452,778,525,282,393,
050,147,162,748,302,244,325,942,330,311,656,019,551,236,101,121,090,723,410,
905,326,280,904,523,451,739,246,159,771,909,968,250,513,666,266,518,089,166,
476,861,633,633,401,797,563,114,250,773,342,646,303,478,762,186,968,463,127,
890,401,932,456,573,082,476,719,750,434,860,591,497,981,936,934,340,787,460,
001,281,056,931,871,248,876,170,982,951,890,665,594,871,164,805,800,517,500,
741,958,987,071,304,296,447,761,487,746,526,649,988,209,558,702,262,812,603,
708,312,542,179,735,308,990,431,589,209,012,723,125,259,099,065,333,348,721,
780,348,432,915,420,261,976,412,438,392,890,148,769,807,701,826,911,701,409,
444,224,394,993,607,693,091,779,407,339,855,527,842,581,380,063,564,573,729,
195,593,685,114,221,129,788,934,440,384,425,309,914,950,161,762,170,937,726,
674,064,896,758,124,865,253,960,148,327,333,619,373,986,194,443,383,419,681,
565,010,601,630,057,543,769,204,695,854,030,059,020,399,553,190,839,043,758,
511,541,086,833,614,338,116,978,572,582,842,394,487,803,053,509,185,192,778,
501,168,288,952,323,486,797,088,360,888,470,756,017,801,898,527,908,057,829,
345,919,137,474,774,259,233,791,306,983,777,969,971,868,634,309,379,104,558,
547,877,264,779,664,453,797,003,500,179,180,187,305,785,187,481,227,379,717,
956,857,550,026,755,732,818,022,805,665,445,786,628,739,704,895,006,455,172,
498,907,684,607,848,457,358,846,683,629,283,091,273,150,975,317,589,812,788,
823,151,020,514,553,511,820,148,752,896,739,906,399,393,592,622,761,638,254,
255,805,017,357,820,822,408,851,789,022,766,895,861,575,341,177,756,095,983,
419,732,691,454,834,320,345,582,686,315,330,217,260,035,322,713,061,064,272,
056,512,311,585,143,109,513,022,359,949,726,226,794,487,976,964,170,946,985,
740,073,497,583,426,082,586,472,510,884,533,687,476,450,059,892,197,239,437,
905,240,700,849,832,618,344,541,532,657,651,369,677,136,032,903,379,998,317,
807,741,602,464,047,025,614,459,964,956,916,165,760,922,622,163,406,841,479,
155,771,284,235,315,466,946,730,478,177,912,750,225,173,366,105,380,840,644,
917,930,724,947,690,249,169,808,692,742,192,799,468,786,851,427,885,778,286,
835,044,728,763,016,953,896,917,340,825,913,179,656,637,219,991,307,297,708,
794,712,469,286,145,477,978,526,147,571,246,007,791,532,256,144,514,136,031,
412,345,018,199,737,360,867,767,747,646,915,482,592,015,558,432,048,659,403,
226,384,287,879,144,864,701,209,053,361,302,271,277,146,170,290,076,876,967,
739,907,210,904,676,538,936,200,982,400,726,301,936,967,599,329,847,652,882,
853,123,380,990,613,819,123,930,063,260,866,431,966,612,588,790,422,013,393,
624,782,834,108,353,607,865,734,868,679,088,156,279,966,895,367,945,817,630,
531,756,935,908,003,896,758,122,169,910,344,850,985,052,319,956,473,034,718,
657,391,064,321,266,824,356,897,026,965,828,828,357,050,524,973,823,564,732,
366,062,842,560,481,464,347,563,507,613,646,364,203,919,619,789,881,918,267,
696,906,753,348,292,440,477,366,022,015,947,080,421,322,514,836,377,221,779,
223,061,960,657,110,338,808,062,419,094,347,288,486,444,269,925,742,800,115,
061,789,384,105,976,030,308,282,921,952,049,771,592,976,969,006,934,377,675,
516,654,809,135,551,877,010,004,586,259,993,982,969,100,448,442,310,076,114,
573,856,475,702,334,787,481,084,960,379,084,974,560,547,831,768,121,489,193,
376,727,292,272,922,515,783,075,443,996,381,402,705,721,817,789,034,815,250,
401,951,427,418,761,132,399,019,255,642,459,289,379,562,916,293,626,058,954,
699,683,988,832,099,496,904,139,548,957,006,492,725,840,025,382,312,210,329,
300,391,853,596,799,145,569,602,790,804,233,299,530,090,572,871,919,105,838,
005,567,868,445,716,982,790,522,096,883,810,665,888,023,621,658,912,478,316,
361,547,101,863,570,244,319,523,947,075,252,410,417,950,852,758,306,986,163,
280,275,004,889,636,437,768,483,318,175,144,651,550,819,034,418,649,976,557,
523,390,171,377,403,469,347,495,414,788,946,140,356,804,353,844,559,765,560,
361,588,382,162,413,394,025,895,713,253,746,178,293,924,451,585,381,382,176,
272,534,847,734,151,745,237,256,404,262,427,006,525,292,792,773,033,945,466,
243,072,549,586,835,283,641,902,487,105,449,262,101,298,032,604,912,308,170,
845,785,015,265,449,572,618,424,407,982,671,839,468,120,588,714,694,296,768,
404,758,745,221,123,392,404,998,544,497,625,998,527,943,315,215,995,144,203,
406,484,429,602,054,954,412,502,148,430,491,248,236,345,204,888,303,361,006,
123,456,801,146,701,181,373,652,017,992,511,281,915,274,083,109,801,818,422,
375,800,551,054,671,387,079,639,222,930,894,467,041,653,725,606,856,572,131,
216,860,335,218,921,286,185,174,501,472,935,359,228,230,443,390,151,600,864,
821,907,824,840,145,557,542,125,262,331,170,392,102,286,800,822,273,190,467,
727,280,251,621,863,604,823,868,649,961,691,230,155,535,477,235,969,258,380,
541,064,714,473,427,633,857,007,150,585,584,026,032,947,308,019,290,932,672,
246,266,401,316,063,608,195,294,933,477,761,264,963,273,863,222,355,334,748,
159,809,890,195,524,776,484,158,049,201,727,977,662,077,813,671,062,361,594,
216,783,266,695,101,659,289,582,182,385,533,899,982,228,105,109,569,188,439,
038,620,324,886,425,394,699,510,480,689,133,285,461,516,309,295,861,671,363,
078,500,122,220,071,463,630,570,105,965,077,372,070,766,005,168,595,201,076,
488,599,696,643,909,796,381,606,638,821,111,623,306,129,505,456,857,833,127,
526,273,534,430,841,457,733,743,023,686,975,182,373,519,955,924,571,798,505,
516,968,612,904,219,305,212,630,785,413,466,711,244,198,698,929,211,082,969,
535,265,006,897,658,626,716,904,637,728,545,950,170,473,029,691,306,753,159,
028,430,701,009,205,029,151,812,202,031,395,364,065,390,764,316,146,033,699,
883,261,324,300,058,648,776,516,536,326,496,029,379,181,364,172,933,169,675,
058,144,907,242,790,258,926,882,091,186,024,310,929,086,413,735,074,087,470,
751,214,656,747,704,280,625,671,359,686,757,361,056,058,356,248,531,303,881,
935,310,385,995,669,808,423,555,070,815,948,876,096,076,270,856,201,242,570,
038,830,227,088,003,698,006,455,856,406,145,372,499,167,835,141,032,709,074,
089,703,454,219,053,910,648,163,225,185,109,583,023,752,928,617,901,637,859,
020,762,063,610,043,561,929,793,191,010,175,565,202,539,567,441,542,811,489,
224,016,762,832,972,869,898,748,836,513,209,593,300,352,413,135,367,276,646,
750,771,178,278,724,085,995,016,705,502,491,206,420,063,004,811,591,581,495,
389,330,326,550,825,715,544,591,866,746,062,163,742,811,881,969,444,852,663,
911,985,260,090,300,797,058,460,936,780,368,254,227,737,771,297,992,570,654,
242,946,264,445,280,768,759,896,448,082,788,400,886,888,128,293,555,866,707,
191,457,773,430,902,070,557,247,708,114,631,082,880,552,860,896,082,811,113,
352,218,802,469,550,244,640,728,430,917,058,799,593,883,840,202,432,608,737,
602,339,410,542,316,510,040,520,388,755,421,599,816,258,824,045,049,005,128,
431,160,052,558,608,676,627,430,588,403,785,143,747,439,852,406,035,716,169,
961,481,805,578,581,630,953,913,369,586,369,191,841,726,062,843,666,556,313,
680,310,625,084,029,052,300,235,361,012,142,251,986,312,613,518,692,808,922,
699,062,445,649,796,816,819,513,262,660,026,665,274,010,990,653,692,087,719,
020,175,474,243,605,911,050,180,685,488,343,789,356,592,500,447,589,481,980,
850,784,547,038,282,595,283,735,934,246,156,205,022,441,059,647,824,922,600,
583,802,288,419,039,162,134,982,852,408,972,174,539,431,653,088,270,854,714,
373,407,378,865,692,927,934,093,151,181,447,141,350,829,704,949,864,994,542,
534,834,743,928,948,524,830,992,008,615,099,436,101,327,097,108,349,049,864,
735,454,518,082,775,389,497,274,168,565,896,964,149,731,473,628,423,828,026,
977,909,103,493,609,540,316,552,534,938,257,230,215,219,754,061,924,516,573,
821,864,619,734,616,656,584,015,432,445,533,240,635,739,609,287,826,335,411,
658,572,361,412,992,616,977,812,593,712,370,398,883,259,222,149,383,384,468,
099,385,102,453,545,770,310,901,383,393,295,644,972,829,889,566,142,878,624,
742,313,709,481,439,399,187,907,448,930,970,531,623,788,953,821,888,445,156,
617,873,910,242,447,030,528,057,275,613,927,052,529,372,259,446,771,858,255,
364,650,778,971,709,670,958,361,366,986,954,206,414,164,835,793,304,218,031,
951,308,243,385,861,588,727,382,949,289,752,698,605,501,341,061,553,754,893,
098,843,162,549,038,007,811,526,913,403,942,511,852,150,254,626,184,791,710,
704,156,565,098,329,329,218,776,956,462,646,281,541,183,307,375,542,299,759,
945,144,752,011,991,321,179,085,390,744,217,915,614,493,284,633,900,712,007,
341,104,058,451,345,871,091,447,430,268,759,641,298,799,963,260,903,955,921,
072,411,416,662,886,547,960,726,562,221,655,556,944,002,051,730,764,086,021,
174,411,775,132,948,120,314,864,416,878,935,994,651,347,130,024,355,946,788,
153,680,321,955,301,196,181,397,783,470,686,214,138,543,364,619,214,705,571,
089,727,957,370,313,600,556,033,610,826,594,936,465,238,764,666,333,991,198,
849,111,492,629,397,020,389,094,103,098,781,263,312,056,589,936,467,381,341,
232,507,977,002,035,532,710,637,368,595,840,853,466,169,806,334,429,350,062,
252,851,130,518,486,366,727,440,383,262,156,368,767,377,773,316,373,226,423,
018,954,260,154,601,279,661,446,140,085,457,781,908,137,491,236,301,327,368,
217,643,164,123,194,387,852,958,224,254,415,326,524,462,890,201,370,192,794,
420,638,849,822,067,891,185,725,041,100,090,175,389,289,824,749,178,557,914,
692,824,972,664,147,188,143,853,835,083,479,991,573,090,539,258,109,039,508,
500,972,636,031,085,599,486,718,446,545,650,227,429,113,795,148,299,455,767,
752,551,884,157,221,364,401,092,825,770,601,972,454,381,200,406,111,415,446,
892,128,909,830,233,218,849,571,755,104,961,072,180,157,148,929,150,202,411,
687,797,662,546,149,655,955,197,028,339,330,398,511,880,416,797,418,090,383,
108,383,940,296,440,748,209,284,129,350,947,248,061,229,980,781,891,700,114,
617,720,140,035,296,658,284,235,449,772,770,686,272,526,239,844,740,867,421,
662,220,693,935,001,501,152,190,610,815,917,022,806,838,447,512,221,407,990,
599,527,836,383,908,383,458,430,949,092,076,208,172,094,883,742,895,143,600,
933,866,857,319,577,483,692,579,768,765,348,067,950,683,744,080,155,955,019,
332,500,502,105,026,269,153,558,380,477,694,357,131,909,069,478,852,831,738,
489,414,229,035,465,753,886,207,411,833,349,585,624,190,610,753,497,502,270,
683,007,236,642,244,310,171,488,457,069,052,261,080,976,247,327,946,279,965,
215,029,247,312,562,871,316,265,281,487,988,610,259,170,056,231,460,947,565,
012,223,499,906,636,716,623,400,002,125,055,609,035,997,286,488,379,913,757,
878,607,576,441,561,496,333,762,914,830,764,260,740,296,508,699,032,323,439,
380,828,673,756,447,284,779,544,901,326,229,807,865,852,141,109,068,762,381,
689,716,826,451,890,416,717,461,175,769,319,520,337,795,642,708,164,714,857,
688,197,472,415,311,779,236,441,965,712,099,947,453,558,026,775,331,444,595,
942,652,710,412,037,709,621,541,007,606,350,263,324,558,831,805,371,024,501,
599,340,935,477,974,624,924,247,093,510,482,383,908,408,545,921,601,628,359,
088,654,378,931,470,406,577,553,869,286,276,379,033,590,893,272,917,124,550,
346,404,986,225,213,551,816,187,569,260,822,697,433,539,216,707,472,941,271,
671,242,992,513,642,043,880,038,644,850,283,342,989,942,391,768,751,727,112,
004,213,788,507,380,878,318,643,904,996,791,582,170,827,635,893,978,683,248,
602,609,597,167,671,735,170,474,237,077,618,107,498,690,451,458,544,906,438,
990,207,259,653,287,448,613,109,291,210,901,725,708,445,198,690,201,382,973,
051,058,221,020,510,139,056,776,230,437,757,519,977,301,211,354,819,273,176,
669,315,064,172,822,532,569,557,109,565,722,944,757,285,211,869,091,172,069,
182,399,644,872,367,692,653,962,275,612,298,243,122,136,621,710,908,301,053,
282,118,595,500,906,020,736,020,136,500,709,140,000,870,369,569,844,008,157,
713,326,161,615,363,386,037,902,766,791,638,966,845,738,054,351,184,849,469,
981,111,208,525,631,079,592,404,761,815,325,769,012,529,262,508,820,369,139,
225,373,712,109,964,928,605,115,657,795,180,536,442,087,758,508,868,006,088,
041,784,162,731,844,720,717,042,260,742,893,803,509,803,338,898,481,389,168,
133,987,294,505,254,404,647,085,086,293,329,124,289,578,236,724,384,934,575,
965,363,893,532,322,169,065,942,610,793,489,807,670,470,122,030,608,289,727,
876,778,906,259,464,868,073,007,834,009,929,974,742,054,182,561,346,236,100,
285,351,776,630,479,954,556,957,182,728,024,115,256,967,488,953,733,300,507,
149,075,436,728,340,329,032,713,238,596,853,604,902,880,282,435,219,335,301,
849,800,533,444,808,917,969,301,101,777,195,415,377,469,323,319,990,750,373,
032,117,189,784,736,708,992,674,593,995,412,279,891,339,322,418,637,331,635,
270,205,082,817,286,658,745,941,542,572,409,017,890,115,833,395,730,465,618,
988,461,432,826,128,917,907,769,508,768,761,020,045,763,029,230,666,907,328,
462,134,034,442,751,314,514,610,561,882,357,389,099,027,398,156,203,180,640,
693,857,798,986,875,872,715,762,293,599,377,859,389,087,342,482,886,156,027,
803,012,510,856,825,466,164,721,470,419,336,087,616,643,577,342,370,270,529,
879,207,015,019,902,275,452,359,329,555,535,360,760,020,520,275,556,455,784,
405,828,329,010,739,980,148,886,965,429,079,647,106,100,998,117,430,655,013,
191,288,729,608,651,969,286,053,389,184,886,775,946,071,373,090,349,364,458,
368,170,086,964,981,711,570,576,057,627,093,046,371,628,457,011,314,259,407,
446,218,568,438,375,541,833,588,557,064,534,287,110,145,923,134,680,846,549,
976,673,415,754,381,270,678,047,861,307,519,097,042,598,039,786,849,566,696,
457,569,005,496,178,381,518,449,722,293,371,220,444,891,436,419,036,072,791,
600,159,893,619,950,335,431,366,397,217,745,630,203,230,660,688,852,775,181,
193,959,627,943,381,828,602,285,795,613,587,891,133,701,609,965,783,341,996,
254,219,264,270,281,298,323,610,727,168,224,067,033,484,555,247,484,560,344,
631,592,231,948,364,446,383,683,647,993,452,263,002,133,038,760,602,464,663,
786,137,285,757,614,062,236,975,323,421,042,700,098,514,276,871,253,548,425,
403,922,705,948,787,019,693,866,380,055,479,900,401,220,087,916,957,803,231,
649,489,423,079,990,899,734,424,616,328,626,504,722,567,166,727,888,244,959,
910,092,545,413,289,013,576,085,423,961,628,861,834,186,197,758,886,512,107,
607,494,257,003,406,634,909,070,859,024,485,842,427,377,214,224,959,348,509,
978,086,036,680,441,200,309,395,265,781,378,685,828,925,316,962,858,539,547,
831,770,587,877,702,131,195,285,022,050,353,441,488,260,365,425,948,659,480,
949,969,935,777,536,357,262,219,890,980,451,052,730,162,904,593,847,497,762,
996,701,231,244,725,565,884,389,626,674,874,819,712,500,027,772,447,555,150,
984,839,155,583,312,864,862,516,740,987,733,056,194,334,661,723,950,359,938,
722,850,317,496,846,530,919,581,410,283,194,055,136,093,330,350,779,808,040,
461,936,637,762,942,557,263,273,576,016,306,825,235,745,788,130,588,090,441,
426,668,155,816,065,578,675,367,324,418,210,815,997,428,751,175,962,479,126,
655,274,661,811,096,945,264,635,309,458,232,455,247,283,864,115,076,821,127,
233,285,243,308,533,517,558,591,007,526,091,449,712,158,208,225,256,599,805,
787,012,725,965,337,258,668,360,462,627,940,974,206,736,080,880,277,946,103,
672,891,078,407,163,096,266,668,940,930,204,899,264,381,752,995,537,071,062,
083,443,113,747,847,555,312,069,897,698,504,429,709,005,949,421,302,577,389,
419,963,807,595,296,212,834,648,657,925,738,466,850,033,510,552,609,904,435,
711,090,657,808,278,642,734,874,087,782,460,629,489,076,858,071,372,138,241,
599,723,646,131,584,989,673,314,720,636,126,775,565,200,153,270,744,773,232,
699,238,525,561,903,043,774,485,727,935,086,827,346,995,945,042,995,098,464,
883,338,946,527,678,708,891,399,082,895,341,377,596,820,463,527,961,690,826,
257,560,887,378,987,794,086,319,585,101,517,145,165,671,789,268,191,186,087,
661,373,056,854,941,144,961,585,888,363,879,080,047,366,937,229,361,336,863,
768,681,800,103,378,950,499,432,311,107,758,321,485,360,355,618,666,430,444,
360,648,710,136,799,126,423,366,164,172,317,239,903,902,256,385,896,980,098,
040,856,773,233,024,696,313,908,284,462,031,449,359,681,343,542,231,276,509,
585,071,465,317,222,145,375,974,529,237,811,901,762,165,561,458,596,968,838,
386,257,149,000,550,420,464,591,048,847,661,937,206,182,964,197,659,891,717,
487,596,225,865,947,358,123,021,408,821,422,406,949,918,028,000,466,036,578,
859,179,441,892,326,693,647,782,196,302,373,636,963,239,025,906,214,368,944,
004,736,873,205,138,582,605,641,413,981,272,221,547,849,483,086,136,475,778,
878,085,100,656,111,466,107,834,750,805,799,656,028,374,400,547,020,130,674,
443,829,935,389,699,365,759,037,592,788,546,799,179,332,034,652,892,827,450,
102,779,547,794,603,779,645,170,373,679,167,184,198,052,388,312,841,764,391,
111,213,591,540,023,188,932,822,187,094,787,308,394,557,287,746,538,702,212,
978,605,558,755,135,842,429,413,669,596,136,909,026,423,420,053,028,514,451,
248,165,742,819,428,518,800,157,330,539,502,878,973,180,991,328,643,111,331,
459,750,369,298,722,111,774,268,597,444,371,723,223,065,525,026,266,132,824,
339,613,152,450,570,768,368,505,741,299,782,960,055,366,828,859,484,075,480,
191,779,344,623,929,585,763,215,879,374,995,002,369,327,176,554,128,162,683,
846,025,107,943,482,608,156,040,654,549,107,646,257,910,304,361,525,586,000,
309,871,858,722,373,524,791,972,000,236,086,999,885,842,096,901,816,149,750,
613,711,334,049,588,365,990,091,899,438,616,649,919,145,506,565,374,382,878,
232,494,892,856,929,340,416,375,517,390,261,745,668,302,845,698,326,829,471,
039,299,352,144,276,593,369,766,442,021,642,100,453,967,810,741,433,101,484,
830,099,616,223,439,829,216,698,321,122,299,382,193,312,242,751,095,194,459,
106,440,138,043,692,341,488,920,003,539,100,043,609,925,417,141,526,396,461,
510,967,283,349,283,765,681,052,816,823,872,364,652,472,493,667,420,968,983,
218,743,383,550,168,577,513,993,443,848,579,368,659,470,737,428,684,504,471,
657,649,041,778,368,349,766,186,327,817,958,398,530,216,961,284,953,456,446,
398,415,933,953,946,757,549,692,446,112,064,722,567,587,964,394,384,639,388,
760,564,148,248,134,518,350,871,191,121,443,591,463,824,955,422,740,322,901,
598,398,418,612,382,123,259,266,945,143,473,059,039,928,429,722,476,000,554,
062,795,671,498,715,199,385,603,201,013,778,951,770,956,148,966,421,743,673,
153,085,937,274,883,827,515,800,751,703,984,579,863,970,678,637,166,364,510,
945,456,233,474,508,731,257,929,635,118,058,595,707,485,575,678,152,488,806,
310,000,338,647,768,328,322,507,743,886,571,477,613,547,977,908,198,849,405,
158,856,928,924,605,509,318,218,574,834,433,120,806,172,338,286,276,441,443,
446,134,635,553,485,821,776,502,020,482,881,576,841,563,553,847,784,574,458,
907,601,912,375,277,826,572,344,293,712,302,623,533,137,380,442,828,772,619,
159,290,774,552,780,720,763,379,802,645,099,927,373,661,289,686,853,263,036,
790,299,953,658,674,769,696,189,141,392,910,469,177,809,875,336,107,415,806,
106,749,670,540,294,215,533,423,812,968,001,903,916,743,023,519,367,687,267,
312,079,420,941,048,642,407,677,067,682,074,810,072,180,940,787,241,720,047,
214,546,146,176,906,603,707,962,713,705,429,824,816,033,506,636,757,675,872,
869,855,317,419,250,799,672,573,455,949,710,380,384,837,315,204,421,955,634,
741,195,383,958,830,469,252,770,777,863,650,732,860,161,707,284,293,793,168,
986,898,772,558,871,614,529,745,758,831,719,076,714,081,466,643,011,726,419,
073,362,788,683,085,751,879,178,132,962,690,448,961,585,904,518,666,904,511,
926,462,302,011,644,025,033,334,561,027,529,840,412,430,509,623,203,473,982,
342,752,784,669,340,641,678,060,825,067,106,971,736,344,078,889,702,649,101,
714,511,890,775,361,384,337,088,511,759,079,702,256,815,446,378,555,544,430,
402,245,812,204,549,367,462,508,135,915,304,429,006,994,233,068,219,286,272,
148,671,684,415,653,352,145,464,622,279,792,409,486,176,721,142,700,439,602,
697,561,858,079,486,739,333,219,130,749,034,558,090,692,636,905,359,887,601,
551,599,865,499,526,597,219,826,755,869,759,830,018,131,549,194,422,528,097,
978,202,766,786,932,024,509,335,572,129,130,588,337,498,859,589,941,179,287,
082,508,515,169,962,314,311,389,871,858,200,843,261,362,870,627,461,290,716,
827,461,662,763,962,611,541,981,138,637,570,164,008,565,081,177,348,113,125,
431,622,670,670,336,694,791,496,482,617,419,980,197,701,466,412,968,231,310,
396,588,397,602,608,945,148,087,291,676,590,044,426,900,270,266,630,875,507,
103,627,473,032,135,846,691,464,307,331,620,278,876,491,625,288,944,348,396,
513,313,239,750,499,731,515,961,394,686,481,917,768,135,795,957,364,685,321,
984,767,204,002,659,012,852,286,850,325,388,317,102,281,205,303,725,128,523,
150,122,675,214,770,645,572,311,037,196,927,823,367,259,098,087,190,107,959,
442,225,178,891,562,020,729,437,753,590,104,287,796,083,854,839,202,399,754,
717,903,195,599,660,094,149,397,359,449,488,856,267,596,040,372,869,610,384,
789,635,972,246,084,046,175,578,922,053,922,736,449,687,694,181,571,201,552,
487,245,653,967,189,403,272,804,165,912,308,506,237,700,490,645,194,143,511,
885,877,363,712,025,063,233,322,687,279,920,048,561,511,381,630,494,827,452,
806,490,609,354,238,906,149,733,412,134,787,272,080,884,966,352,258,441,510,
174,491,937,115,297,193,195,497,884,507,485,016,204,154,197,939,619,048,155,
633,584,010,411,109,236,047,553,673,956,483,296,742,282,314,314,063,166,865,
516,768,582,559,365,375,961,011,574,115,670,934,171,693,736,612,833,146,406,
784,988,326,932,421,853,402,748,496,218,879,447,332,834,725,211,337,574,251,
695,562,030,936,556,526,729,589,140,831,482,285,877,701,960,961,099,613,869,
962,078,766,318,039,530,314,794,726,815,115,102,951,180,597,539,530,998,333,
868,038,344,398,796,735,240,437,925,289,386,357,691,024,430,423,026,999,319,
790,433,472,650,522,941,135,633,031,410,601,302,297,321,717,077,529,664,213,
841,997,925,293,489,546,520,069,651,283,207,177,490,358,610,117,261,440,284,
498,695,750,721,008,945,306,694,552,220,933,916,569,911,331,074,199,271,811,
421,734,549,725,571,463,760,975,437,004,304,465,617,096,234,854,668,827,923,
663,047,277,598,786,262,903,215,737,363,505,431,496,182,689,751,713,476,583,
947,402,380,795,550,101,352,770,317,902,559,679,886,267,213,024,011,475,027,
294,248,975,644,765,286,450,773,612,585,569,368,474,443,654,272,654,325,351,
198,018,605,951,086,599,581,298,051,547,861,308,941,473,663,820,974,711,409,
145,225,960,917,386,749,541,732,076,095,909,652,273,832,928,283,203,265,765,
567,908,959,282,173,749,785,183,262,928,622,616,346,439,170,502,797,875,022,
348,354,538,197,364,968,151,094,146,849,797,159,318,975,768,836,961,770,361,
692,385,009,737,662,273,958,034,264,627,927,942,479,483,666,523,284,886,729,
378,263,158,532,431,499,603,819,530,618,050,843,357,020,648,831,538,212,117,
897,204,973,315,975,955,004,146,038,673,561,005,353,055,971,645,191,261,923,
777,066,526,627,911,654,537,557,518,510,022,777,860,707,899,000,119,791,995,
882,695,839,082,749,489,073,847,341,002,489,438,103,745,287,736,648,052,671,
624,650,858,168,951,227,270,969,681,033,842,160,259,905,310,431,930,319,639,
603,578,685,853,158,363,928,513,370,967,586,077,615,715,742,650,232,711,095,
673,214,461,434,486,626,037,067,223,761,126,134,738,894,547,747,537,023,815,
702,801,414,720,067,278,949,444,737,530,400,135,498,915,305,798,071,911,274,
688,915,870,712,322,914,823,149,571,610,929,954,344,998,494,451,684,924,765,
367,417,509,087,094,892,898,705,119,476,515,892,609,670,218,662,366,287,625,
917,483,336,085,348,032,528,592,116,728,688,218,114,178,173,678,717,017,681,
509,614,135,010,683,758,547,497,729,610,261,780,040,758,710,050,179,829,165,
474,224,742,951,490,776,391,159,322,657,249,752,641,237,270,523,185,229,599,
985,298,546,958,103,234,076,797,152,307,425,911,708,599,619,846,988,018,538,
804,906,789,500,750,715,542,584,304,531,375,369,674,818,972,227,849,542,243,
222,627,271,871,245,651,054,321,595,385,874,542,977,682,079,876,403,207,713,
269,443,726,420,101,242,598,947,793,276,833,250,174,210,797,602,755,159,459,
416,227,233,789,735,607,838,297,674,677,952,635,683,686,118,048,626,591,398,
373,605,968,499,129,834,368,630,138,410,801,305,215,477,474,506,193,096,758,
693,933,031,215,037,490,547,379,814,094,187,928,724,277,649,111,128,475,340,
469,708,492,079,413,295,635,329,428,794,463,762,367,772,153,088,512,495,639,
173,980,355,084,810,590,312,170,324,037,858,901,779,891,134,814,546,058,241,
293,170,483,445,733,938,717,018,216,835,754,923,768,873,777,791,172,894,222,
631,892,222,615,251,327,223,175,229,972,209,015,149,996,320,712,247,538,295,
720,328,331,519,776,593,524,280,245,221,602,841,142,209,263,595,833,392,185,
138,697,128,281,589,177,817,309,869,905,859,194,006,775,886,071,593,813,798,
559,815,451,951,135,474,752,259,660,514,512,397,948,507,690,412,042,599,874,
373,145,074,118,263,915,748,146,429,363,907,008,200,841,356,543,508,878,971,
435,038,929,370,406,167,163,253,686,388,166,925,714,212,993,588,579,119,284,
321,539,139,868,005,767,558,798,672,180,791,874,391,395,724,055,336,552,361,
996,617,787,839,201,807,298,868,177,978,997,875,574,384,472,636,773,893,440,
962,156,676,719,235,068,211,614,236,029,238,723,053,810,499,754,697,867,791,
870,792,090,033,334,189,697,150,560,890,602,096,209,996,646,474,792,871,127,
063,468,927,212,089,142,138,788,862,488,702,160,756,998,843,984,414,248,934,
004,502,278,279,442,640,811,058,844,735,591,744,482,969,236,132,857,070,557,
371,783,965,686,040,896,429,211,910,260,514,856,177,759,832,851,352,930,815,
605,608,482,773,573,574,710,236,461,260,408,127,600,360,175,243,930,517,241,
323,139,105,262,606,117,955,822,779,457,795,004,657,111,232,540,513,141,819,
338,788,785,431,894,427,817,095,005,321,933,805,316,407,304,838,846,009,205,
583,558,187,794,765,746,402,209,082,152,247,712,616,453,130,139,917,773,512,
806,047,152,844,390,313,560,326,874,538,438,294,590,367,880,787,405,486,347,
013,862,637,297,163,719,719,045,736,372,337,656,193,276,627,547,358,368,905,
036,098,374,024,272,291,651,360,625,614,537,976,876,206,732,406,103,641,737,
460,993,235,196,408,241,392,607,283,040,566,974,664,861,131,451,548,238,113,
594,273,664,497,222,126,198,333,962,279,060,393,171,531,517,078,649,063,010,
850,609,085,076,071,676,168,059,715,996,373,817,101,730,733,024,950,379,672,
418,051,240,965,269,646,969,278,444,212,243,052,988,371,292,075,945,994,889,
075,816,138,734,243,243,032,479,150,072,066,912,766,826,162,211,795,374,477,
981,318,680,768,454,876,250,738,962,223,358,828,664,784,825,050,602,822,893,
088,901,551,691,957,178,720,059,116,345,746,624,480,830,221,771,609,114,873,
642,932,261,104,528,730,447,869,555,239,808,554,761,609,686,319,092,831,871,
860,347,942,090,424,147,499,583,427,726,235,917,111,978,555,132,271,663,366,
097,784,807,489,516,215,652,751,587,464,022,874,836,630,862,627,685,083,055,
039,641,526,619,887,529,519,794,070,369,200,867,539,836,388,001,540,002,377,
991,408,224,710,275,946,650,869,186,763,766,862,357,014,143,987,443,402,792,
336,348,249,388,506,324,765,467,529,800,455,009,355,476,039,591,298,522,459,
911,988,352,021,136,678,705,805,727,374,190,797,508,346,254,586,002,631,604,
743,037,904,425,078,380,748,369,353,246,128,365,874,594,274,593,012,932,155,
577,640,100,633,007,145,276,227,551,289,133,304,930,664,840,979,093,070,028,
400,765,151,145,037,711,366,449,104,471,294,748,582,301,381,144,771,410,158,
635,947,961,135,143,519,314,607,986,774,245,063,272,112,041,012,844,408,324,
725,398,308,142,719,314,488,240,322,586,663,487,785,985,659,550,880,489,581,
376,554,185,909,280,959,529,783,503,151,064,991,406,126,107,702,737,686,928,
925,879,734,362,041,873,997,044,273,150,694,769,404,453,654,762,585,472,519,
229,302,143,286,672,747,932,716,682,057,421,409,922,980,845,946,260,043,860,
629,838,440,130,256,910,026,454,725,126,774,858,272,591,166,427,221,769,082,
903,186,208,837,065,428,792,779,488,072,517,797,241,957,558,623,816,221,354,
018,047,656,319,718,120,229,405,796,182,252,098,632,108,840,491,370,104,621,
868,587,835,770,613,011,802,156,433,931,669,087,004,325,315,580,805,268,338,
123,433,637,714,046,170,623,970,347,849,097,624,482,456,814,309,784,796,779,
039,818,509,935,587,450,270,673,300,207,799,982,576,263,080,696,117,688,955,
371,238,073,983,310,504,259,464,822,207,592,531,579,595,628,067,770,170,957,
858,229,405,715,706,803,158,642,814,856,844,745,495,392,568,695,180,669,005,
282,307,749,071,203,296,972,081,775,919,403,658,034,022,881,811,056,628,031,
915,790,697,146,634,018,382,659,215,500,763,056,954,470,823,388,215,582,263,
105,367,301,263,690,798,159,796,705,839,867,698,428,565,885,209,121,794,652,
880,266,048,607,121,884,991,081,774,782,161,869,445,439,732,997,803,604,931,
056,515,031,969,476,942,456,774,703,741,711,856,032,688,300,964,339,641,883,
487,099,205,755,946,465,139,623,863,918,167,988,648,766,755,861,029,109,921,
555,090,559,248,055,817,531,281,279,432,497,914,810,458,511,064,431,814,109,
139,343,076,350,071,911,987,319,143,952,350,042,277,983,161,867,056,171,643,
165,089,456,619,466,474,832,359,350,878,201,315,535,142,195,333,483,459,402,
016,390,515,321,655,171,994,238,278,421,857,051,432,148,006,813,338,094,706,
573,689,435,021,860,451,449,789,285,353,742,612,010,662,701,818,897,527,016,
781,431,844,243,212,351,986,248,838,175,277,240,980,331,044,646,460,870,322,
222,158,576,170,753,365,587,702,486,734,110,581,131,827,776,153,154,423,108,
549,673,864,583,527,584,014,034,271,540,688,189,855,794,789,603,329,110,052,
505,482,144,493,068,917,849,972,307,350,270,385,011,187,949,821,836,252,002,
617,472,252,867,543,011,112,678,619,699,417,707,894,198,315,894,373,303,084,
485,321,780,516,247,915,203,239,446,727,199,669,650,589,208,781,577,451,836,
794,981,907,603,555,863,722,070,733,843,742,146,168,451,978,161,528,463,061,
947,722,627,800,794,606,506,420,044,973,001,757,235,871,742,213,801,679,677,
972,625,485,476,258,251,304,057,579,648,053,951,295,024,865,923,589,885,606,
065,044,529,068,402,481,573,872,980,131,483,453,153,186,196,356,315,916,923,
395,541,459,168,079,261,102,545,061,470,661,020,142,748,657,466,896,731,357,
918,386,219,845,909,664,346,186,550,365,617,491,333,053,003,031,077,740,109,
497,687,588,346,182,181,093,490,255,248,808,912,382,302,355,648,977,865,451,
871,454,602,366,709,858,726,086,297,100,350,534,879,957,533,336,414,285,026,
602,595,978,125,165,666,102,438,885,756,520,781,139,512,836,177,713,635,929,
295,464,974,634,689,023,899,973,126,694,036,228,171,055,910,844,998,797,193,
649,766,083,816,958,509,644,400,060,131,635,027,169,391,643,435,438,806,533,
028,438,299,334,625,123,040,163,141,304,136,252,942,647,105,625,643,872,566,
051,965,335,532,660,121,875,050,460,854,864,917,543,604,241,926,579,253,624,
136,437,991,527,108,247,796,704,387,599,410,538,639,761,761,046,014,086,448,
457,164,657,050,633,847,691,456,299,433,727,766,613,144,534,830,910,825,044,
102,984,805,691,690,008,762,035,470,785,895,830,657,506,748,988,045,530,909,
426,708,208,738,559,635,550,355,988,035,137,892,533,705,925,448,865,918,009,
596,372,508,755,525,966,717,403,005,857,610,330,260,795,760,868,473,985,753,
707,881,349,783,488,660,560,932,490,092,810,802,500,260,862,162,679,665,718,
558,178,741,998,681,081,238,034,813,172,538,744,856,729,305,964,644,233,758,
452,031,185,143,372,977,897,721,735,568,353,554,471,933,649,898,713,235,758,
451,483,157,818,462,255,518,178,205,895,147,445,047,019,961,293,665,163,349,
890,393,887,903,063,091,760,144,572,823,272,671,307,483,088,595,803,944,906,
415,918,327,862,781,818,443,254,100,044,368,144,496,910,029,728,155,719,812,
647,226,711,750,929,363,237,645,661,462,574,258,858,928,751,627,352,870,677,
740,847,838,589,008,430,701,835,595,631,981,584,082,934,133,746,560,871,328,
909,256,570,824,794,876,219,421,945,962,357,205,126,413,351,702,066,245,879,
677,094,354,702,613,644,621,625,156,529,578,903,322,612,046,188,482,476,489,
957,575,387,993,130,915,639,681,614,696,249,170,793,984,827,340,025,772,396,
856,005,777,879,210,565,247,554,547,192,720,891,827,042,590,367,773,803,187,
276,428,543,783,567,997,274,136,361,225,982,389,513,370,628,689,452,504,292,
314,660,775,498,041,867,421,412,984,932,209,990,991,589,240,441,038,860,227,
293,038,613,110,518,184,555,891,965,706,842,290,145,885,173,099,501,509,626,
383,292,818,938,651,145,748,288,756,038,730,501,081,271,720,529,000,125,811,
945,897,834,307,411,850,248,104,784,197,586,277,346,443,181,863,873,707,851,
235,985,613,559,032,470,306,352,633,508,381,509,977,581,386,853,198,493,598,
103,278,417,539,802,198,116,088,420,769,620,975,206,948,408,231,311,479,295,
468,034,191,553,423,254,972,078,825,102,708,194,120,533,389,977,863,072,155,
785,510,554,447,460,586,695,303,834,868,731,483,714,126,648,664,793,477,782,
997,725,431,956,419,571,131,579,707,122,862,992,693,197,471,281,972,185,579,
672,071,781,966,479,367,008,590,400,755,953,605,305,410,495,058,710,555,179,
174,996,745,047,147,251,035,666,792,208,292,428,129,005,070,079,841,899,148,
029,973,757,928,907,932,854,616,276,456,487,436,316,702,339,319,258,862,916,
082,491,918,989,521,675,261,645,302,667,580,768,042,385,035,314,930,192,105,
398,739,934,863,679,397,977,815,135,777,511,932,524,594,248,136,441,108,223,
301,459,487,927,785,487,553,116,285,776,607,582,661,826,278,165,663,711,561,
777,198,315,937,066,455,760,522,213,101,339,916,396,601,050,578,703,196,518,
689,752,448,706,437,061,092,305,699,533,225,324,012,711,381,119,778,484,166,
135,071,083,901,145,876,328,529,236,328,047,184,165,300,304,270,373,638,802,
828,825,979,367,186,143,446,584,703,600,154,868,718,212,466,329,669,214,864,
135,178,227,286,344,559,399,159,831,921,402,722,246,917,560,939,430,794,417,
224,261,738,527,936,842,146,340,592,482,141,029,892,733,270,165,047,699,265,
194,971,699,740,499,741,585,169,127,486,845,963,688,031,489,409,104,019,261,
364,245,571,868,347,297,324,270,059,012,340,373,468,772,055,146,950,646,591,
065,505,416,464,374,632,364,283,575,851,713,228,171,369,481,933,821,139,490,
887,311,297,054,945,002,894,746,904,772,234,309,433,247,581,691,238,860,188,
757,107,227,049,987,640,867,291,988,521,247,739,600,422,245,785,755,841,458,
601,781,744,084,981,821,091,126,468,372,857,976,519,985,306,387,109,890,354,
818,589,542,996,977,218,142,544,103,409,696,186,325,005,776,630,077,673,041,
544,100,757,091,861,645,827,667,536,979,068,535,225,880,113,099,808,633,501,
432,299,814,902,861,217,693,268,037,165,875,453,576,288,895,396,042,740,417,
046,001,755,028,679,598,508,316,155,676,859,873,944,555,375,672,355,884,803,
442,663,762,662,416,718,039,892,310,170,147,764,029,622,827,742,009,864,543,
313,315,481,626,959,586,759,864,239,244,568,199,689,694,753,971,786,990,468,
405,094,200,246,948,970,341,429,324,439,079,821,474,778,978,808,366,795,634,
436,504,587,103,125,226,272,294,191,305,758,253,836,267,873,389,625,636,741,
941,183,768,551,730,606,060,360,485,664,762,711,071,875,846,983,021,498,592,
410,655,521,980,471,902,480,422,164,536,356,055,987,783,973,197,719,126,365,
797,177,361,601,347,207,058,057,445,327,395,936,512,307,070,759,496,971,959,
272,853,213,446,574,328,436,787,122,171,858,744,187,084,889,287,741,761,919,
267,735,063,403,383,178,314,163,613,289,668,650,696,831,299,790,165,802,712,
717,161,043,121,694,222,305,764,086,331,872,739,999,970,504,886,729,478,064,
791,479,416,220,973,196,149,388,358,488,215,462,454,469,642,682,647,701,573,
122,342,049,657,339,437,854,515,957,131,065,909,945,959,704,581,829,487,421,
923,186,310,560,756,810,991,660,544,061,611,495,182,045,469,435,729,914,052,
824,414,371,234,947,390,408,762,599,410,158,632,850,974,016,932,027,438,720,
843,510,432,127,947,405,213,715,591,731,871,250,826,239,890,615,054,749,724,
266,225,788,700,818,846,922,776,403,368,574,639,018,002,127,246,772,585,231,
737,064,080,748,004,467,401,872,831,360,186,806,265,910,149,320,547,575,325,
480,747,983,498,358,913,752,873,778,966,953,755,646,875,609,191,466,185,218,
220,873,793,378,527,188,627,628,904,052,330,206,456,391,765,110,622,547,881,
106,015,096,986,591,185,867,106,625,732,691,329,909,528,905,014,958,775,854,
039,131,595,210,532,699,960,138,678,916,544,052,996,241,545,331,705,094,501,
788,669,134,647,225,413,783,739,941,643,104,765,349,761,122,918,010,648,096,
083,789,316,237,510,389,630,483,604,196,908,382,814,700,247,208,952,663,165,
176,755,704,127,799,933,041,332,534,776,017,062,022,794,332,550,498,768,110,
612,012,667,781,187,166,644,882,699,664,784,051,963,731,942,244,399,288,117,
998,051,168,169,591,562,470,200,381,092,471,862,100,644,393,819,005,203,302,
438,670,757,991,647,933,147,078,041,589,829,660,266,122,500,586,999,352,187,
261,174,330,169,055,285,051,468,596,035,154,245,805,011,549,510,481,406,004,
910,569,846,460,381,661,364,912,838,400,609,981,990,459,914,240,489,363,593,
176,112,941,710,907,195,253,274,285,310,954,545,251,340,022,076,737,949,188,
825,827,156,020,545,998,154,505,044,253,349,756,265,328,831,502,143,691,427,
893,715,609,681,604,400,930,721,305,020,175,056,672,603,091,398,194,086,272,
064,419,075,213,568,411,490,843,142,785,419,310,592,233,831,942,131,592,891,
080,948,910,874,030,407,363,544,690,649,421,904,778,866,659,882,663,160,686,
421,351,699,624,882,195,480,959,178,198,041,640,286,645,375,864,249,945,484,
248,297,086,300,782,763,108,157,447,913,378,834,478,085,612,875,555,323,210,
540,798,755,803,462,594,657,688,159,578,391,078,191,721,075,104,292,610,516,
431,451,068,601,091,762,131,506,295,969,353,428,320,654,102,724,444,463,243,
321,710,718,863,087,216,133,766,681,650,536,484,414,574,063,301,864,761,480,
031,301,639,305,163,037,753,613,497,773,170,143,952,990,183,973,253,641,947,
720,361,475,764,817,825,052,918,923,625,105,473,943,122,248,262,893,750,868,
308,362,138,167,662,436,218,737,962,702,035,117,402,621,455,160,721,122,006,
392,085,058,237,988,359,713,225,311,770,038,242,714,898,391,606,292,334,476,
705,479,398,555,604,702,630,881,791,574,918,584,554,902,280,428,574,392,703,
533,983,567,867,689,902,363,923,653,567,108,827,210,615,748,788,650,079,857,
773,766,597,600,858,697,042,506,786,206,649,367,198,312,103,420,988,165,089,
907,139,357,567,733,633,364,775,229,315,284,223,008,273,639,734,629,407,830,
318,185,126,501,722,200,121,292,653,008,390,882,878,537,707,046,435,374,694,
553,129,952,354,369,910,792,610,258,472,147,728,296,405,771,990,478,393,054,
557,316,028,998,189,996,606,718,068,970,315,484,425,198,677,937,339,330,067,
129,955,701,677,244,436,491,053,439,620,129,525,103,544,915,504,033,985,682,
609,719,114,921,903,663,100,930,762,066,201,024,475,657,217,338,758,031,879,
299,738,073,480,272,482,385,191,756,958,362,113,721,847,681,855,768,130,165,
899,306,288,151,880,844,109,857,536,437,222,353,118,997,118,309,793,325,362,
344,436,053,823,188,377,133,938,013,663,673,088,477,237,273,929,713,154,076,
014,104,403,454,364,698,330,710,446,007,324,402,377,675,470,080,198,349,513,
199,327,716,975,823,408,396,442,882,412,620,141,303,953,154,361,267,519,579,
147,536,759,084,328,497,047,015,857,414,816,390,238,399,000,625,751,012,021,
091,887,957,379,953,714,273,168,675,465,458,459,088,441,768,762,640,536,820,
032,525,853,670,466,688,932,926,883,783,024,426,898,416,154,107,966,827,912,
181,946,322,392,175,728,902,096,072,604,135,017,364,584,488,943,095,146,716,
607,139,198,452,176,530,085,392,748,302,364,806,912,174,252,994,979,926,510,
345,877,929,049,970,763,329,814,944,641,958,079,585,902,151,462,640,350,466,
867,357,845,645,692,466,375,966,288,366,907,959,287,288,595,842,742,285,420,
194,631,149,751,819,553,133,030,989,751,704,959,834,651,095,548,257,409,206,
587,036,819,657,567,817,929,824,062,554,797,604,794,685,831,342,678,013,553,
641,329,067,935,665,891,866,253,886,569,080,502,800,429,628,625,488,119,094,
488,185,990,888,435,165,947,320,207,744,402,701,457,590,447,426,579,316,589,
254,531,569,414,314,592,403,960,210,541,112,497,993,687,881,635,887,273,286,
882,235,161,732,715,040,570,161,565,791,503,425,734,518,910,929,345,260,070,
866,869,739,580,098,241,938,815,085,016,523,520,221,102,108,164,971,499,930,
160,092,252,097,136,138,507,758,099,877,834,272,734,584,008,337,780,275,562,
139,649,022,092,662,640,414,390,113,771,879,076,982,157,270,591,595,304,219,
640,839,574,107,093,727,858,864,705,567,201,464,649,351,518,320,410,070,633,
499,264,181,516,594,159,911,699,459,646,518,053,103,479,716,535,076,359,604,
821,571,399,880,255,486,015,539,309,380,235,381,171,483,201,923,740,896,659,
058,587,270,413,735,444,313,757,420,613,925,056,099,938,258,046,598,959,458,
071,385,655,964,331,765,220,511,964,685,992,701,750,316,610,851,040,167,351,
634,060,435,465,155,425,933,640,032,582,255,217,259,258,984,864,339,462,105,
554,947,842,438,163,732,972,798,787,966,055,123,869,889,443,762,149,359,386,
216,976,965,181,617,570,148,959,958,317,284,080,461,968,191,670,652,966,902,
101,059,096,712,709,272,232,862,901,528,349,914,806,567,663,146,104,423,546,
212,709,657,585,201,408,971,695,093,594,289,083,899,184,876,541,123,620,023,
872,618,055,500,905,882,670,272,324,568,782,050,736,284,749,757,816,568,346,
355,920,939,481,636,937,524,149,239,659,098,672,787,878,160,324,737,118,102,
478,720,690,843,428,763,501,400,991,533,235,980,091,965,461,553,387,163,396,
119,140,653,594,645,770,265,974,123,094,619,703,714,317,910,974,663,742,081,
566,857,921,882,879,570,527,913,726,123,232,240,962,559,292,631,149,144,973,
068,092,279,927,740,157,964,023,512,234,441,928,266,302,824,713,103,415,774,
474,788,161,200,746,970,401,267,505,349,895,384,061,243,242,375,865,417,793,
928,417,706,255,721,229,963,126,605,390,246,405,592,751,513,905,084,062,806,
956,941,110,682,733,538,705,955,365,234,221,688,186,747,428,196,106,432,297,
707,127,863,346,970,275,433,042,671,018,010,914,856,359,293,447,402,637,174,
959,486,693,086,488,547,684,832,100,078,248,844,838,341,725,583,761,050,148,
089,141,379,885,041,726,068,464,121,364,855,570,232,114,963,648,705,370,943,
692,146,273,300,010,102,052,198,092,434,823,526,577,966,829,377,995,760,407,
224,472,978,926,737,765,241,667,451,603,185,916,585,149,358,051,102,592,719,
924,048,989,130,944,872,829,988,317,598,769,326,040,246,407,830,859,556,528,
433,489,051,107,067,769,663,752,058,739,458,867,922,933,850,341,632,880,026,
435,338,830,738,772,541,334,998,146,068,494,714,109,337,453,307,555,868,710,
349,657,814,504,648,985,634,095,102,780,748,407,574,553,327,023,441,331,564,
116,328,724,668,173,266,156,276,445,793,122,931,440,037,667,114,395,667,709,
452,768,695,631,939,743,468,254,771,006,334,000,940,182,050,653,519,644,420,
113,673,505,532,527,086,134,116,197,629,200,184,985,602,772,326,930,450,919,
740,253,929,752,712,440,418,537,662,933,368,484,265,386,397,783,888,595,950,
085,500,325,617,063,827,710,948,900,182,513,975,457,245,291,464,351,000,618,
185,850,493,883,471,229,785,166,132,671,687,837,028,738,778,014,642,309,705,
252,614,156,127,452,634,656,823,502,550,758,081,084,426,071,420,596,658,910,
083,816,225,650,449,842,298,524,233,708,175,295,441,694,150,760,904,021,357,
015,736,995,372,463,170,249,591,885,458,570,919,998,357,983,561,827,025,860,
122,463,629,215,085,270,967,074,506,246,912,710,370,002,845,818,870,828,539,
039,509,851,026,721,483,266,663,725,253,554,425,226,642,607,265,229,496,856,
374,429,120,053,228,607,903,513,124,585,672,775,620,000,115,151,720,565,210,
442,357,286,504,192,425,515,917,005,925,248,431,505,657,212,779,811,767,447,
562,422,909,424,496,435,390,152,006,976,342,349,275,997,122,261,503,054,167,
383,144,162,924,124,428,145,991,533,664,706,180,315,154,739,419,662,389,960,
094,503,144,181,690,250,659,013,930,533,081,985,263,155,474,150,259,712,848,
265,845,637,160,950,391,128,225,463,272,095,850,916,312,371,554,950,754,883,
160,732,746,830,707,625,990,932,035,626,327,342,676,712,048,589,514,297,557,
870,513,119,369,482,162,290,617,427,780,587,306,023,833,375,155,785,957,458,
560,436,722,914,252,213,610,958,892,020,511,706,212,650,418,509,470,267,943,
023,068,978,247,732,093,097,947,024,220,709,301,854,158,998,052,340,936,125,
375,039,231,146,859,743,329,207,698,993,272,391,224,483,600,868,432,710,459,
727,546,416,436,647,736,670,614,808,396,002,724,580,591,324,732,051,764,896,
514,117,709,002,855,731,277,014,038,684,267,339,016,861,576,395,154,644,850,
616,732,546,039,716,344,274,529,464,717,206,727,975,830,598,269,570,573,264,
606,470,301,803,364,274,415,709,190,772,669,811,128,366,301,651,608,159,508,
927,770,731,950,135,091,915,541,761,087,502,268,553,967,035,697,143,968,718,
566,748,112,194,181,618,546,798,990,546,205,926,224,333,701,391,341,586,416,
650,327,796,004,847,292,459,921,912,435,773,354,679,929,617,612,518,035,466,
508,432,917,231,859,516,587,345,308,225,124,866,866,053,158,988,317,022,101,
293,690,064,877,907,492,604,551,514,632,210,602,376,807,615,900,372,211,013,
599,530,859,396,788,107,931,008,817,272,350,247,563,165,880,537,882,862,182,
962,509,871,469,163,876,220,094,811,876,091,861,857,754,316,176,933,227,365,
963,744,125,499,628,970,168,222,723,949,436,054,056,660,520,467,099,885,267,
810,728,824,620,753,579,353,129,130,425,112,476,275,515,645,348,514,758,223,
024,894,402,531,312,125,136,398,825,711,160,550,822,011,954,909,586,372,058,
597,445,602,378,362,246,137,609,505,215,417,499,107,182,564,580,903,636,807,
985,274,530,988,780,995,701,536,307,634,986,270,731,601,213,255,883,216,706,
743,734,312,672,106,759,935,005,657,389,149,741,705,971,071,457,135,958,421,
858,185,403,619,663,892,995,590,947,771,116,448,818,397,606,261,509,207,270,
093,102,185,739,361,141,362,510,420,912,763,833,810,675,451,864,597,265,791,
805,786,615,516,772,883,688,797,046,959,923,653,037,323,207,328,672,067,126,
625,149,089,733,033,661,896,876,543,014,405,041,223,482,902,010,404,014,071,
665,237,239,458,083,470,629,247,241,540,500,440,800,668,611,115,030,703,446,
909,127,797,097,524,882,513,767,032,719,584,851,136,098,895,443,120,811,079,
027,683,272,569,062,864,730,967,957,037,167,426,337,482,934,518,717,617,750,
707,746,424,840,603,772,612,646,182,047,032,343,125,843,361,722,019,957,358,
833,466,316,530,076,697,427,814,263,235,761,271,450,266,384,155,561,156,202,
064,443,649,241,193,328,998,798,158,266,876,522,838,120,558,960,416,619,727,
489,778,233,732,937,468,386,706,147,298,588,063,965,986,715,054,275,130,135,
642,417,102,236,147,446,509,600,545,832,287,713,167,517,349,135,480,136,375,
546,862,810,418,691,521,017,564,354,669,122,721,016,865,331,530,754,018,554,
383,529,231,493,909,839,340,616,105,375,574,071,413,393,735,242,433,296,896,
029,321,736,664,033,457,175,119,711,684,416,561,765,885,734,568,598,167,260,
124,937,837,245,871,355,739,771,619,347,094,285,731,410,972,398,618,264,739,
017,101,973,008,424,860,798,819,041,836,970,265,853,969,779,516,840,174,201,
828,999,146,866,685,563,560,563,092,700,082,250,969,013,696,410,691,903,850,
903,672,728,075,004,517,036,290,464,645,698,247,368,312,838,460,790,132,980,
555,238,992,269,918,834,939,611,231,301,873,491,489,408,779,254,480,855,621,
891,593,450,792,154,735,973,706,597,835,736,904,836,409,466,667,277,320,476,
647,092,526,566,812,611,693,704,623,022,884,517,979,358,065,942,756,943,924,
571,364,286,121,701,186,110,960,951,825,750,310,160,396,765,881,007,480,167,
316,672,317,799,240,035,807,623,218,980,296,828,592,631,436,933,236,631,158,
089,975,215,881,818,076,652,976,357,799,959,359,290,367,579,232,231,547,222,
304,485,495,783,207,868,821,052,283,808,966,184,392,174,483,238,306,538,195,
620,331,206,240,851,173,579,683,404,932,719,808,747,629,846,570,444,023,094,
774,246,808,495,610,527,215,759,811,857,846,380,180,366,265,061,713,640,057,
743,964,407,404,780,439,267,244,412,913,608,222,503,821,396,334,009,951,939,
300,785,605,597,882,327,203,481,616,650,943,617,729,071,116,764,486,457,163,
452,872,191,883,156,528,815,377,848,776,999,315,022,098,895,463,393,211,009,
439,215,512,582,488,099,068,149,781,943,939,447,930,709,004,801,391,718,416,
739,912,630,642,345,381,138,682,617,071,053,127,604,342,739,833,628,955,486,
835,534,080,764,683,294,303,317,549,429,866,689,037,019,945,014,273,715,480,
242,960,611,810,571,292,763,580,217,907,479,106,840,384,886,285,196,505,919,
236,328,599,708,320,133,924,002,805,215,205,051,568,353,746,983,796,136,405,
148,260,216,259,720,047,462,992,402,350,414,821,882,034,749,208,098,108,499,
259,496,497,362,083,715,101,387,850,330,100,277,774,456,579,448,907,444,426,
316,954,156,068,720,574,797,161,976,595,152,682,927,568,747,268,243,314,283,
449,655,345,267,429,469,679,921,351,338,049,821,785,726,840,971,964,706,135,
386,263,056,978,718,711,283,245,372,612,583,555,331,605,258,202,810,652,282,
052,824,673,295,011,990,532,054,056,807,730,432,011,437,598,930,769,657,159,
491,500,739,421,917,480,353,861,247,044,161,437,312,972,963,709,751,655,619,
397,228,134,594,694,666,370,364,214,868,958,408,200,776,166,704,825,372,895,
760,332,230,966,011,813,967,045,833,827,019,205,282,949,687,064,146,313,245,
203,328,900,095,228,173,947,237,275,073,291,184,582,756,506,372,029,088,485,
874,420,214,237,428,861,037,202,633,877,592,295,976,855,298,411,817,861,420,
762,558,167,493,580,001,685,966,911,194,846,454,190,159,913,744,809,043,315,
285,242,559,820,659,392,088,046,499,358,238,149,804,605,693,503,388,910,321,
211,409,777,163,888,653,438,758,692,109,919,372,230,927,512,393,822,372,559,
135,182,127,714,751,728,780,478,274,884,236,187,059,488,305,762,767,489,024,
870,081,473,995,626,242,923,565,896,224,722,024,696,633,056,249,872,067,971,
103,899,344,123,324,492,762,561,589,659,311,144,383,786,385,297,774,463,487,
779,706,154,292,778,866,495,411,030,769,687,910,460,685,304,396,706,825,777,
205,880,573,082,249,187,076,416,129,103,149,223,700,635,411,528,659,539,366,
956,959,757,525,980,772,678,960,919,478,048,281,080,335,435,154,524,436,893,
673,869,203,153,215,693,100,785,386,712,890,580,023,890,153,429,269,916,219,
036,153,627,501,878,761,625,827,023,637,961,416,377,947,444,031,572,368,883,
440,888,842,838,428,906,797,147,069,732,760,486,756,767,552,603,263,450,770,
820,098,603,772,045,563,975,656,797,988,818,973,248,565,332,926,757,914,172,
590,950,779,148,869,941,112,073,858,448,250,452,378,396,460,797,291,825,331,
481,451,157,102,825,275,909,084,897,743,099,221,241,596,718,805,264,608,612,
345,291,965,100,353,830,401,650,511,928,752,971,994,835,537,250,619,043,777,
305,920,840,364,069,128,657,150,720,013,303,401,292,199,125,358,147,764,312,
557,025,523,890,034,497,086,837,197,508,168,647,349,193,725,489,043,012,134,
027,561,310,869,040,705,637,476,065,684,318,409,116,892,041,580,592,950,789,
369,088,005,731,185,023,530,083,121,782,043,398,249,967,366,729,200,457,216,
240,254,730,562,423,259,766,889,439,126,355,329,373,387,449,994,486,517,882,
076,253,649,362,193,109,274,618,965,890,211,060,572,737,414,272,114,660,205,
947,660,633,043,961,607,204,685,365,937,885,222,241,453,481,415,804,028,037,
572,946,136,022,505,662,433,156,198,492,615,008,749,778,567,400,560,705,854,
541,939,296,455,428,043,417,627,075,500,239,684,906,354,514,818,859,798,642,
521,506,444,873,514,964,144,265,367,483,006,752,205,096,093,119,426,668,696,
423,991,827,613,485,355,752,203,287,328,614,590,569,229,090,382,012,505,186,
390,245,249,104,113,823,040,422,300,499,784,526,834,307,406,575,257,728,138,
588,119,986,581,497,254,983,222,702,821,916,696,112,979,242,140,973,449,406,
600,538,763,714,867,413,986,030,767,520,646,909,914,046,467,759,814,722,261,
359,228,157,973,107,923,146,903,791,809,692,745,871,000,591,580,468,763,539,
156,655,789,728,340,330,456,724,207,412,096,540,200,272,169,792,420,964,104,
894,588,281,283,538,646,943,653,260,580,035,376,730,037,275,717,777,494,046,
552,004,204,020,391,940,009,519,031,109,199,699,821,839,155,034,952,532,047,
215,659,385,673,686,805,122,356,621,811,490,205,837,365,552,877,641,172,649,
375,748,149,374,651,791,290,330,192,772,793,693,043,025,952,364,736,441,301,
596,039,243,560,735,479,362,395,737,942,075,906,328,642,518,869,743,784,150,
982,076,940,033,020,585,220,415,195,589,101,741,834,248,762,410,810,840,702,
984,885,257,414,131,230,365,970,032,966,523,859,426,302,286,884,118,780,010,
758,401,569,028,929,233,167,903,479,517,791,737,190,603,435,519,123,891,313,
323,558,332,285,547,075,399,181,031,237,239,792,839,209,793,863,851,806,807,
858,309,820,686,842,659,378,517,776,502,135,517,038,291,804,858,830,533,237,
017,805,054,621,947,795,748,805,906,812,361,074,377,672,773,992,131,412,903,
938,125,559,076,834,810,362,942,311,846,828,897,350,123,419,487,506,786,201,
172,800,578,049,902,608,169,490,161,829,965,118,862,947,687,883,272,445,888,
943,943,431,963,970,624,642,072,009,065,070,412,155,475,205,586,248,473,017,
518,998,585,759,767,058,482,182,459,595,899,827,170,996,582,954,753,884,720,
726,117,788,103,691,289,130,024,335,261,082,196,918,947,438,262,850,844,612,
197,180,143,005,230,291,607,934,307,819,811,100,742,599,789,873,279,914,372,
176,697,440,057,843,055,701,001,712,817,148,170,208,650,528,127,686,297,023,
007,656,298,771,834,818,175,158,269,259,316,810,076,892,808,589,986,960,335,
429,333,357,302,380,066,778,277,457,715,350,019,149,964,756,103,512,125,778,
736,645,085,214,601,832,164,693,741,554,168,214,510,669,758,359,575,645,045,
116,778,880,435,260,405,480,852,316,404,264,742,506,487,455,869,068,143,576,
202,231,933,505,218,093,487,559,078,097,831,068,164,228,229,458,316,090,321,
147,803,161,058,773,738,805,756,190,627,999,936,742,428,263,360,538,035,863,
073,234,329,435,076,064,545,750,990,588,866,159,540,716,647,340,423,796,341,
695,185,269,718,562,904,465,550,857,085,329,082,551,398,649,927,357,050,525,
963,198,519,588,738,658,330,554,796,859,090,341,395,837,806,541,878,394,337,
976,307,252,992,786,312,732,868,856,680,588,486,199,714,825,353,899,854,369,
242,806,786,377,044,430,735,317,390,702,727,198,231,473,776,501,015,405,231,
258,796,233,319,386,639,259,562,477,045,314,656,452,832,741,671,866,896,945,
288,307,654,229,510,057,023,331,855,591,818,123,507,119,833,833,835,555,335,
633,404,533,977,059,804,152,805,118,525,493,026,463,834,650,845,153,008,518,
585,132,052,849,124,038,979,959,985,083,423,990,637,580,755,698,070,345,100,
636,744,645,775,964,349,622,405,203,853,316,725,944,208,975,348,979,554,490,
510,154,189,630,244,912,501,092,165,094,482,339,017,013,247,160,651,758,333,
655,308,114,578,504,286,655,948,101,422,032,434,219,707,749,737,962,920,561,
531,469,104,782,537,083,145,215,224,801,950,357,950,770,295,916,005,833,889,
005,778,900,040,519,479,367,779,108,899,624,213,771,122,158,391,655,569,300,
320,700,536,951,099,124,516,699,784,825,807,885,592,035,739,244,744,435,131,
896,001,780,018,671,391,421,557,878,035,122,485,490,040,565,085,175,547,698,
475,709,451,211,159,068,921,659,224,236,432,571,549,085,301,692,648,073,030,
357,005,072,627,846,187,446,936,659,847,250,153,719,706,029,408,869,645,947,
669,422,178,700,544,863,720,979,692,301,668,048,530,048,959,096,073,054,616,
999,214,745,632,225,800,023,154,404,675,419,990,961,717,468,090,485,263,603,
979,898,270,403,610,146,897,254,938,964,904,330,603,991,715,663,915,022,729,
097,311,292,142,411,341,043,706,825,970,090,863,841,645,122,116,379,127,625,
018,449,886,506,388,666,408,536,468,518,366,753,154,865,665,087,597,833,855,
844,889,575,832,226,133,235,340,395,799,625,658,658,642,631,268,263,475,958,
658,320,893,802,517,873,995,110,914,487,705,371,297,638,135,647,604,679,954,
677,979,301,994,054,800,150,810,110,600,673,244,934,406,570,837,801,646,541,
990,724,513,724,663,650,198,676,495,607,450,086,032,301,397,520,647,731,310,
631,595,760,008,680,318,316,289,500,101,258,522,248,847,056,235,609,704,918,
081,658,592,674,205,957,962,331,246,889,178,282,573,870,807,919,881,583,383,
915,930,556,998,341,073,063,581,102,239,263,073,895,946,414,071,146,597,049,
194,597,631,458,694,323,995,359,913,612,661,445,820,235,809,816,641,397,155,
422,137,619,919,750,381,724,361,516,752,715,264,606,555,182,690,729,976,274,
848,967,238,750,389,389,688,135,888,203,489,758,115,839,307,137,758,940,950,
839,610,513,468,286,061,662,054,901,100,201,717,895,516,742,797,915,805,584,
819,161,185,355,419,849,343,969,527,095,021,780,291,899,002,643,654,717,104,
004,513,477,861,571,455,932,110,996,562,496,455,639,888,910,051,187,952,640,
703,455,245,919,614,454,564,965,333,797,448,315,795,407,614,789,279,501,811,
495,581,106,945,195,753,242,615,280,532,198,624,598,562,708,162,120,038,579,
989,572,330,201,541,576,362,558,055,413,174,737,336,099,317,030,027,674,302,
290,667,131,468,522,389,790,726,252,706,388,490,683,026,166,787,191,251,601,
568,540,560,236,178,512,354,687,693,424,600,369,585,650,103,568,123,881,680,
869,841,589,831,059,622,266,040,636,157,186,338,786,068,339,743,940,779,144,
858,533,720,565,310,981,041,708,937,810,666,763,384,647,830,771,412,641,548,
896,659,899,211,894,148,634,633,525,168,497,115,527,206,696,761,307,276,331,
013,861,872,453,975,125,505,314,714,648,569,649,022,252,104,017,497,212,670,
100,572,479,928,622,723,554,198,026,487,392,740,695,187,972,843,858,076,909,
974,719,147,558,038,187,932,504,701,026,288,349,916,456,048,648,078,340,061,
362,015,762,004,851,692,708,167,224,000,851,614,525,173,670,181,422,496,001,
733,495,816,489,899,525,733,038,855,829,592,665,605,338,495,924,074,287,640,
312,825,332,539,560,321,515,971,655,738,668,727,169,928,404,492,365,967,806,
552,944,401,878,916,488,592,456,496,620,612,517,266,183,344,236,755,632,229,
282,124,716,601,286,270,853,235,889,090,642,976,241,292,417,208,717,094,886,
483,434,515,833,699,905,129,158,465,530,060,592,373,879,959,782,277,887,751,
192,716,898,021,586,793,304,587,631,045,972,926,381,428,904,210,227,128,474,
436,419,390,561,646,994,922,583,904,842,673,000,259,298,230,137,548,267,484,
927,768,549,053,464,502,227,485,060,449,933,079,248,739,992,137,628,482,731,
147,911,911,334,117,924,808,207,522,482,920,700,535,040,336,431,764,516,425,
491,491,096,235,427,102,388,421,055,144,109,833,152,815,622,306,404,480,268,
851,843,477,227,076,692,489,444,717,354,668,343,638,500,305,053,125,679,767,
166,804,630,733,390,408,234,601,325,672,927,516,365,420,264,779,859,854,150,
447,213,494,497,351,011,511,903,765,420,255,333,763,123,811,005,920,096,253,
810,597,508,981,531,323,272,331,377,720,724,091,096,531,117,440,913,230,382,
141,017,442,406,680,730,298,386,618,153,791,720,542,157,903,092,436,421,719,
602,923,844,761,810,940,723,106,098,660,018,680,762,102,855,616,478,096,706,
282,021,727,816,011,531,254,088,081,952,285,759,894,507,475,289,381,759,190,
079,375,985,635,111,617,807,904,036,718,377,774,874,165,339,545,520,825,935,
033,292,469,056,359,175,211,272,694,897,884,235,918,433,127,744,840,868,866,
279,846,812,514,549,404,825,398,819,889,839,873,641,129,341,216,805,118,596,
484,120,630,867,445,359,052,163,533,761,389,064,635,420,665,029,593,278,254,
360,599,222,104,645,234,132,028,225,620,736,625,025,469,318,410,035,639,793,
933,157,593,071,575,113,782,577,099,179,469,827,850,258,867,097,940,364,196,
370,031,314,041,879,714,728,859,662,679,791,658,175,221,650,183,304,065,394,
173,057,874,314,696,100,432,909,581,338,875,520,544,355,717,441,788,486,327,
221,975,856,039,901,301,335,924,520,321,849,514,090,730,560,807,580,934,707,
007,034,486,672,166,982,849,885,586,514,545,941,415,903,698,847,304,279,030,
117,799,548,832,869,625,464,111,446,656,006,616,777,623,653,513,763,715,695,
742,678,789,492,868,046,692,050,914,831,325,411,331,012,126,933,084,729,019,
645,679,725,158,381,522,315,856,204,804,749,223,687,023,629,205,180,326,648,
540,927,043,754,981,867,506,476,001,585,588,141,718,719,195,993,353,769,073,
184,324,261,706,773,443,065,433,755,190,217,742,639,789,988,999,573,851,674,
184,681,145,356,992,156,115,551,669,611,165,098,539,738,574,985,356,316,540,
501,418,842,216,692,662,392,477,817,835,629,526,081,225,795,250,274,649,354,
693,856,886,807,570,084,316,003,098,275,191,162,088,938,808,577,012,454,661,
507,930,193,593,633,194,124,424,955,703,646,503,599,786,571,871,656,177,594,
727,249,882,571,492,866,415,518,487,837,747,571,417,513,659,464,445,201,103,
376,543,107,331,561,516,064,339,338,196,111,125,100,278,372,387,585,248,321,
142,325,826,755,332,196,388,855,476,798,110,396,733,909,763,025,199,991,382,
433,029,069,877,161,309,571,926,455,872,026,706,665,380,548,185,594,872,166,
586,753,694,679,448,848,993,093,406,116,742,234,330,067,802,382,309,548,235,
178,169,984,899,651,116,298,692,912,943,265,913,802,755,136,792,443,640,316,
003,874,285,625,801,458,761,315,431,694,013,828,199,443,398,847,457,240,401,
757,269,321,520,313,008,415,960,228,399,394,206,547,986,982,394,219,654,341,
725,131,489,530,806,059,425,462,288,260,303,867,789,522,223,351,942,036,743,
208,430,454,066,111,117,608,483,158,331,273,091,983,842,182,409,328,910,595,
670,726,095,691,350,453,336,703,733,953,266,857,072,313,306,077,028,761,612,
177,735,064,015,133,541,187,821,243,029,042,040,115,289,140,996,889,118,615,
703,166,625,957,521,658,066,937,014,062,891,906,236,640,599,696,112,667,699,
966,684,325,109,672,218,750,381,115,005,337,877,280,345,711,223,409,960,592,
493,207,097,529,958,513,602,823,863,886,157,790,901,959,112,313,793,943,559,
400,736,175,672,443,331,604,130,011,233,713,279,588,868,153,109,656,631,833,
797,877,576,929,529,316,217,972,508,518,561,371,360,414,738,592,924,794,370,
717,852,476,323,922,006,003,195,115,796,813,061,406,204,253,604,907,157,148,
448,807,457,163,602,808,017,431,298,730,141,317,969,839,258,844,374,128,507,
333,821,739,237,443,798,748,226,266,086,887,287,953,832,517,777,311,130,813,
639,869,618,461,439,707,871,442,752,032,430,142,099,414,469,658,285,625,667,
842,695,183,872,150,183,050,185,524,256,185,765,636,867,590,284,015,186,630,
031,182,008,351,838,528,807,700,115,159,819,728,096,620,468,388,705,757,386,
902,920,230,688,282,829,516,284,525,463,894,364,646,129,405,047,354,662,762,
580,695,539,966,249,440,931,729,647,264,738,193,695,300,456,770,133,642,636,
217,481,945,647,133,018,218,662,639,816,475,565,514,710,605,635,785,705,213,
383,972,160,236,519,804,509,009,586,543,538,753,247,780,140,804,771,741,512,
901,683,736,086,027,387,522,723,535,942,350,214,737,035,916,903,813,899,301,
202,797,479,639,747,456,413,515,572,123,346,486,022,952,725,935,392,306,300,
095,119,686,788,365,470,161,301,358,459,297,709,169,211,467,660,356,314,559,
632,044,271,596,728,406,016,768,913,380,382,886,407,837,758,257,275,603,968,
420,497,230,275,481,112,842,653,035,430,277,242,059,675,087,504,979,733,704,
431,705,653,584,035,317,784,688,473,321,648,711,625,139,473,420,849,019,780,
820,696,782,660,002,184,453,567,413,567,487,050,306,256,147,729,717,910,753,
555,490,511,868,590,103,855,152,428,442,281,351,945,285,762,848,301,863,156,
552,467,573,624,677,803,194,698,290,130,136,227,144,697,141,573,480,516,445,
295,740,875,875,764,339,760,675,662,897,782,571,019,532,670,224,380,751,448,
856,415,939,082,989,000,482,857,470,954,291,850,146,419,282,287,752,347,094,
729,953,549,559,730,350,529,597,195,180,665,826,552,303,850,912,248,466,222,
736,587,453,881,495,133,831,615,743,287,657,496,013,080,129,907,885,999,123,
986,573,994,384,071,276,719,650,160,654,994,618,278,381,714,184,850,536,046,
212,014,193,512,125,070,305,377,546,463,856,086,814,466,638,682,924,051,318,
993,567,871,042,838,224,907,268,804,082,460,423,788,616,614,725,572,406,229,
930,913,791,356,036,703,392,727,240,308,768,162,540,565,129,471,409,175,629,
389,567,199,409,786,687,545,458,680,391,615,106,503,712,412,274,206,027,630,
303,840,291,320,483,705,723,402,229,609,989,219,476,800,354,636,579,276,703,
451,141,207,860,536,160,881,325,084,618,369,234,731,586,302,322,225,723,227,
520,951,960,763,937,523,509,702,049,220,935,222,481,438,017,692,561,351,596,
477,083,804,868,963,759,240,317,704,207,847,983,795,128,514,740,672,467,014,
399,638,079,785,147,737,256,679,052,317,486,513,153,420,907,518,293,657,978,
811,169,172,614,036,297,815,238,623,174,982,038,123,210,403,724,293,487,190,
440,750,521,039,576,073,647,787,890,403,082,744,834,892,025,628,431,279,054,
271,910,076,822,359,825,205,911,204,284,506,689,009,987,305,375,128,598,494,
790,736,786,095,020,562,009,793,926,838,041,221,214,705,802,545,977,879,296,
340,570,246,100,747,933,358,077,813,788,208,570,306,536,295,659,920,150,289,
415,131,620,335,638,089,420,914,694,607,472,522,246,893,789,401,753,553,437,
303,761,809,320,393,538,552,418,298,672,753,012,165,055,072,731,298,616,694,
701,926,760,766,199,292,081,422,517,709,412,685,561,968,945,502,464,300,318,
948,169,014,638,309,747,173,824,344,509,804,075,137,633,243,374,429,767,010,
353,363,085,894,483,851,341,391,913,303,237,199,370,497,076,332,865,951,055,
045,491,912,485,717,226,624,481,347,226,136,403,175,136,729,197,212,307,129,
483,228,706,043,031,424,349,267,245,162,220,588,536,651,639,564,686,233,077,
437,171,786,087,318,398,533,993,718,688,195,414,812,391,466,492,975,845,009,
560,746,740,353,764,739,548,179,080,150,162,539,653,160,813,868,490,803,826,
916,857,895,548,029,363,914,756,169,783,711,868,929,128,834,906,363,311,163,
790,850,652,545,061,520,190,894,611,458,076,602,698,744,932,462,177,518,486,
732,177,719,163,659,687,494,199,548,200,569,063,452,226,885,251,086,669,975,
480,544,862,562,293,043,671,791,753,783,349,915,456,879,992,828,287,911,716,
478,106,532,752,086,104,619,606,256,253,363,738,461,270,677,106,988,465,370,
506,079,742,511,003,091,260,347,939,531,441,601,073,165,389,900,587,781,827,
138,417,806,019,070,053,361,246,428,675,948,706,311,471,592,840,923,635,984,
339,807,232,746,711,470,338,823,945,613,328,465,027,596,083,264,389,433,304,
918,179,280,794,451,471,690,187,086,859,643,557,414,644,874,861,115,502,152,
689,288,953,561,578,366,105,810,048,284,294,971,883,731,704,393,039,584,693,
492,451,613,614,691,742,434,723,688,367,933,161,849,806,916,330,577,042,109,
354,828,611,656,538,815,394,954,493,437,654,080,201,975,593,841,479,195,186,
641,649,849,322,100,788,243,896,832,376,014,687,524,204,022,052,895,713,047,
644,921,445,296,879,615,413,706,091,381,923,239,521,016,065,387,653,640,635,
458,403,216,720,749,748,837,020,200,090,330,879,596,839,627,253,158,142,433,
161,193,716,589,058,269,269,755,732,674,305,442,211,996,559,687,621,070,541,
311,457,659,604,574,727,285,879,938,946,990,967,311,250,607,937,729,883,200,
082,316,107,401,472,722,935,133,922,821,216,014,814,756,700,007,374,943,486,
950,757,007,516,374,406,435,775,283,684,883,532,203,055,170,449,236,829,100,
344,524,737,324,257,172,592,775,427,012,709,906,939,436,021,118,863,398,378,
844,796,509,661,077,921,077,656,988,909,784,022,024,710,933,314,699,550,324,
183,625,698,658,147,079,206,709,912,823,028,307,711,553,261,765,976,849,177,
139,567,356,173,791,231,152,308,300,339,634,165,104,777,823,411,848,153,784,
360,918,474,403,275,554,413,896,382,234,868,464,801,840,985,107,650,690,703,
976,127,711,139,712,642,182,024,529,141,508,477,472,744,922,428,868,561,198,
274,324,036,323,301,831,028,898,599,788,695,319,035,818,399,444,227,240,965,
622,841,498,401,376,927,483,680,637,331,418,933,287,582,903,369,084,856,794,
189,936,530,290,487,403,899,693,763,143,827,693,040,267,997,190,279,180,134,
775,962,280,674,284,398,267,206,279,681,272,306,300,972,688,613,870,427,732,
244,955,416,294,402,126,418,831,755,905,985,341,160,126,428,263,668,013,446,
267,068,378,852,493,840,042,159,664,913,660,532,566,946,431,603,719,617,590,
013,699,397,092,002,813,400,734,631,368,519,821,151,771,008,619,909,846,734,
772,766,608,318,246,287,174,963,400,945,430,937,148,875,992,669,360,117,773,
243,872,858,922,506,061,782,142,955,349,764,576,046,924,872,563,860,927,186,
225,509,206,578,043,158,657,746,686,481,806,403,110,167,826,159,244,512,160,
621,197,794,032,598,201,515,508,646,535,470,709,709,200,045,251,051,141,072,
021,727,469,500,648,236,041,083,791,866,394,764,823,269,595,858,365,863,711,
270,232,218,655,724,969,985,116,890,517,394,013,098,568,432,241,895,794,818,
891,415,046,042,201,030,297,985,435,658,626,923,645,571,185,499,024,932,616,
888,767,625,572,467,839,378,493,120,128,688,558,232,854,962,298,816,007,766,
830,303,615,452,631,779,410,188,129,157,564,274,682,346,783,722,480,957,492,
876,290,990,554,086,745,248,903,567,436,705,101,136,027,497,132,824,404,936,
350,332,072,617,875,599,866,047,104,032,219,149,372,799,071,346,733,071,709,
092,671,897,246,557,866,183,861,973,569,295,172,049,300,872,715,769,935,476,
609,525,253,035,321,459,225,565,911,201,535,623,046,649,176,336,200,076,505,
074,855,712,064,387,986,616,320,671,450,049,325,310,786,877,122,687,553,598,
348,803,332,322,847,358,484,048,510,682,641,744,113,642,029,743,016,280,756,
967,353,734,408,519,885,637,628,609,362,069,938,993,077,590,025,435,842,819,
910,721,078,520,486,243,188,500,086,927,377,374,316,228,050,500,692,092,722,
686,070,174,122,609,875,060,495,092,526,165,575,543,288,371,560,005,119,798,
826,035,704,354,720,472,944,541,154,543,586,206,889,392,848,482,362,639,925,
043,132,121,888,038,356,609,844,030,534,048,908,848,703,168,900,603,503,619,
111,167,806,089,373,827,045,815,983,289,626,240,181,496,128,604,786,008,012,
204,943,649,150,505,917,361,455,709,258,815,093,453,140,893,249,437,602,866,
353,623,292,449,695,371,296,661,074,246,401,620,410,928,302,669,368,696,962,
420,166,620,116,584,043,022,665,927,863,245,381,730,768,483,234,278,862,134,
389,142,083,959,415,180,311,437,764,035,943,691,990,037,106,668,124,460,837,
929,592,433,066,998,098,384,953,439,075,231,230,843,100,244,034,547,649,063,
738,536,928,737,772,285,334,202,393,444,060,694,529,978,156,130,170,257,303,
027,869,656,179,536,969,596,214,840,930,063,256,187,703,790,789,539,097,371,
491,290,549,540,652,681,704,798,833,846,286,381,144,837,009,416,594,411,395,
408,709,306,488,660,319,222,086,346,760,469,583,591,541,120,069,142,323,291,
564,042,106,493,727,547,601,117,896,019,536,844,059,556,385,370,143,102,754,
464,030,470,736,754,371,610,881,088,704,083,671,769,754,911,921,806,932,272,
957,676,516,819,961,925,741,881,736,099,516,968,163,408,916,402,828,749,863,
321,055,591,152,063,906,798,463,562,165,131,985,041,339,987,230,104,128,887,
658,356,024,893,002,706,914,773,310,632,047,928,430,338,926,118,088,359,578,
171,305,892,888,732,298,635,341,622,666,692,208,982,901,873,922,821,652,244,
633,657,706,259,443,034,308,395,704,439,788,884,792,570,657,245,904,106,880,
749,056,231,859,054,671,795,640,720,533,844,882,665,089,386,238,663,376,752,
396,247,810,234,031,537,637,770,030,212,773,026,805,838,385,036,644,457,488,
136,464,826,306,321,844,577,656,658,056,190,805,083,519,507,903,070,477,985,
795,777,683,499,839,268,904,814,076,465,511,136,870,714,757,418,276,275,510,
115,933,101,875,136,730,855,050,579,507,924,179,774,945,489,037,355,372,469,
392,144,118,742,889,954,709,899,005,175,612,639,223,959,790,565,174,501,088,
755,893,629,889,765,524,872,003,819,518,526,001,586,117,346,025,944,183,400,
925,907,072,032,125,176,287,633,853,873,769,554,020,772,007,761,852,951,605,
099,259,982,824,939,120,375,635,522,244,098,634,394,836,017,590,153,071,551,
619,927,367,196,404,853,553,954,216,719,229,624,092,652,057,992,540,040,956,
382,582,006,474,081,774,792,999,631,906,903,139,381,002,358,717,638,048,097,
024,631,882,446,356,824,804,813,578,726,294,520,596,305,052,547,000,446,985,
670,969,539,279,568,137,404,822,373,642,488,824,755,315,636,303,198,068,300,
255,286,871,266,589,452,351,066,216,870,854,992,086,179,284,231,270,726,304,
540,613,441,664,211,158,422,320,854,385,311,718,295,435,143,446,862,314,654,
077,942,399,502,124,493,146,295,505,300,663,366,548,657,962,345,809,187,105,
992,398,331,621,459,984,436,518,982,466,277,193,531,997,711,169,390,908,953,
530,612,868,840,861,224,365,430,993,812,914,644,267,342,884,588,887,750,336,
439,118,726,609,004,399,283,552,002,284,760,083,829,264,774,822,720,811,005,
409,570,006,849,381,859,594,733,247,087,701,610,605,256,539,146,706,764,281,
878,003,569,797,801,098,015,990,582,015,545,615,688,732,629,328,339,183,623,
353,610,648,258,957,232,515,817,445,358,516,341,469,346,409,466,965,593,841,
034,887,847,141,378,656,261,473,831,272,344,837,468,894,538,696,760,789,939,
796,496,232,609,866,970,477,255,648,028,048,466,001,791,078,715,944,857,290,
164,680,300,212,097,448,338,797,112,477,985,719,164,362,456,032,924,717,693,
533,710,601,793,651,771,817,821,659,303,836,314,745,524,411,122,855,954,357,
305,228,035,104,200,601,185,357,212,230,568,242,243,259,138,622,940,272,650,
953,024,499,580,395,443,950,739,121,244,295,843,096,809,948,433,098,362,230,
645,761,497,590,454,601,769,501,313,598,887,094,383,356,968,872,000,795,129,
130,798,437,839,739,604,297,433,932,400,533,898,994,324,018,166,774,203,692,
698,506,608,579,931,424,703,068,493,805,773,005,434,395,392,369,646,617,258,
002,094,023,877,024,599,876,626,663,826,222,749,980,987,706,548,035,841,370,
666,659,730,550,884,777,550,104,009,237,459,428,124,360,747,685,089,137,458,
213,495,175,279,454,756,852,166,789,847,237,858,206,022,184,523,102,583,421,
945,200,190,263,561,453,753,518,892,808,594,481,423,721,861,507,482,332,852,
171,427,344,258,526,640,572,045,397,227,300,771,930,886,873,778,741,220,647,
890,824,350,400,839,645,056,573,363,784,736,692,770,406,484,708,498,867,992,
378,344,666,599,956,241,360,609,168,143,519,243,427,043,454,354,342,764,735,
743,230,605,343,654,331,615,806,824,293,534,066,550,075,593,690,161,873,707,
620,572,997,951,013,275,733,749,379,335,668,832,793,740,374,965,544,751,544,
257,342,441,013,031,743,281,031,850,395,535,725,664,286,684,774,861,087,769,
024,599,654,633,245,386,520,499,565,454,840,908,751,339,652,559,325,629,722,
503,239,159,597,845,175,927,183,261,024,788,787,420,562,322,742,467,056,617,
042,352,079,949,298,438,789,862,363,790,981,594,295,312,484,412,683,998,237,
365,800,167,367,669,498,629,237,536,400,881,415,075,155,931,192,507,499,609,
569,137,717,558,002,430,841,685,071,267,350,952,392,637,254,657,764,131,610,
390,011,047,033,228,286,209,087,450,358,785,216,571,627,184,567,228,327,726,
972,326,951,482,262,927,127,635,510,045,605,390,076,255,976,585,067,139,037,
417,034,213,539,096,912,965,505,838,672,282,654,176,593,160,349,555,702,152,
912,355,523,868,631,075,965,792,149,744,693,845,454,402,504,011,285,360,018,
643,914,156,449,638,653,898,626,133,294,129,295,920,184,375,203,871,400,287,
581,426,944,981,413,905,590,812,494,057,899,994,487,091,439,959,096,482,397,
960,587,006,232,013,314,640,700,303,844,589,722,261,238,572,059,597,334,533,
996,197,737,050,930,231,142,791,831,709,533,304,869,968,596,066,436,569,213,
761,761,619,604,116,764,956,261,950,085,682,311,336,794,733,962,433,472,636,
643,269,725,736,539,428,909,523,695,419,761,169,432,417,833,481,544,937,053,
155,121,968,045,916,014,539,717,190,875,452,700,020,190,710,950,132,364,566,
756,059,808,021,791,427,907,777,413,522,452,191,674,114,302,639,490,826,658,
916,247,305,592,860,193,556,862,172,842,094,544,658,851,779,600,726,260,533,
259,214,265,881,449,752,965,769,337,889,817,815,014,694,410,441,223,869,027,
670,318,544,827,947,346,970,003,511,681,296,624,495,832,101,998,915,913,432,
210,955,043,683,633,404,352,416,907,485,628,674,517,992,126,073,046,163,988,
635,339,750,139,215,609,592,863,023,229,111,603,427,770,775,871,775,446,511,
619,384,068,633,552,853,160,614,004,062,311,718,659,739,871,609,354,328,741,
603,855,478,548,361,769,797,810,489,827,097,062,148,550,316,862,252,513,455,
907,288,801,610,550,200,462,264,142,883,988,688,537,578,604,353,502,494,477,
787,963,079,517,463,165,572,849,327,327,239,553,775,077,673,460,860,754,842,
895,232,993,127,453,968,597,904,636,347,770,590,393,674,930,686,101,519,763,
176,768,536,040,359,247,279,922,329,858,684,461,334,590,034,560,019,004,730,
879,208,928,997,897,065,709,444,500,880,783,148,096,016,555,983,676,843,190,
565,536,117,510,548,229,656,692,583,523,248,446,565,696,796,089,987,971,649,
036,216,465,716,565,678,663,798,509,762,040,153,162,224,624,289,270,046,522,
309,483,280,818,422,763,196,658,672,873,473,109,905,413,385,097,448,515,238,
559,462,416,596,144,880,365,462,262,898,310,630,746,657,006,534,859,474,288,
805,110,132,596,323,499,137,921,918,594,895,277,048,108,970,625,004,955,507,
206,163,230,303,615,318,842,412,837,214,011,570,592,714,701,663,921,773,997,
939,101,268,471,611,054,419,897,369,595,536,678,694,971,683,698,172,217,306,
172,887,003,280,992,471,107,382,955,488,232,894,601,042,123,971,021,410,958,
002,361,347,592,397,859,720,891,326,131,840,446,098,001,816,530,319,503,142,
458,794,366,318,784,490,117,183,501,079,688,883,137,104,673,408,108,758,339,
391,459,151,760,709,334,168,461,347,260,589,782,057,458,548,765,825,962,339,
391,304,754,957,354,646,647,134,553,415,514,118,998,056,661,495,615,229,773,
814,439,693,831,706,170,537,844,285,839,870,791,030,987,162,133,466,356,676,
563,157,387,226,306,428,096,170,146,252,923,060,149,411,978,999,215,808,546,
373,659,464,019,631,311,494,453,565,606,474,620,841,805,061,718,943,370,426,
188,623,161,823,448,113,556,592,487,110,953,460,661,766,693,221,661,259,692,
950,907,761,864,685,939,592,033,573,755,335,543,758,415,836,214,792,478,493,
844,272,045,516,648,804,561,827,214,733,268,153,760,782,392,177,069,334,587,
260,965,972,412,648,291,868,486,262,709,562,809,524,187,536,973,221,926,020,
732,601,790,361,445,855,209,453,106,554,544,628,355,252,959,933,263,699,219,
973,215,709,703,299,985,431,756,626,572,704,044,412,212,751,079,095,661,697,
251,863,207,383,619,142,170,736,944,745,045,602,716,800,253,967,024,375,610,
388,719,528,836,212,596,119,310,025,257,013,784,495,219,550,763,154,799,712,
251,136,214,320,722,284,891,373,959,551,865,880,772,113,102,449,398,323,227,
091,685,312,365,202,936,705,768,330,758,866,151,170,022,487,678,836,310,217,
391,424,088,929,423,400,046,868,699,696,171,556,369,549,436,546,011,197,878,
309,247,929,051,113,074,334,956,396,791,047,305,505,914,433,866,683,839,081,
719,113,084,424,731,453,004,192,693,341,763,404,107,069,312,389,822,047,243,
885,206,075,844,322,286,885,029,343,607,143,369,228,268,522,820,180,189,009,
515,988,217,635,423,354,677,361,341,676,913,238,922,950,664,681,413,332,243,
647,579,752,950,335,220,170,257,480,187,863,993,352,489,085,435,300,207,636,
524,063,277,842,866,299,045,686,842,236,959,519,571,159,665,251,092,365,114,
879,603,509,961,528,179,064,654,442,741,825,230,855,858,892,467,660,631,123,
438,988,870,743,714,153,181,567,288,868,701,166,081,394,980,382,723,670,677,
863,073,381,747,114,872,700,754,708,932,475,556,650,159,170,959,312,479,628,
726,669,693,439,914,283,387,111,273,146,865,592,192,108,207,037,162,105,820,
724,117,937,302,499,552,038,597,648,734,329,672,151,418,554,504,458,380,444,
687,815,969,411,335,864,273,972,796,843,566,736,931,805,300,767,343,964,164,
566,785,521,240,539,745,065,925,491,972,337,195,187,312,169,357,155,182,069,
549,841,944,258,194,193,860,395,161,397,776,596,385,561,129,201,757,627,735,
881,150,924,045,485,953,723,524,706,401,116,269,169,782,783,291,212,331,019,
210,466,296,072,807,416,734,695,108,671,870,275,265,485,891,923,233,416,680,
164,776,033,347,550,030,854,730,484,359,966,568,441,470,368,433,450,650,320,
112,846,154,061,255,863,950,572,366,849,519,438,803,630,068,799,091,603,892,
221,950,253,953,935,848,766,509,923,585,559,846,815,253,970,342,863,390,526,
767,387,527,972,185,160,281,311,376,169,928,494,171,968,599,000,202,278,067,
484,061,329,154,307,834,727,587,310,667,189,998,259,220,418,255,181,935,070,
164,412,111,458,114,631,228,666,162,736,915,026,591,988,232,278,066,846,322,
752,816,277,952,111,401,201,344,767,781,232,674,915,277,856,360,222,079,056,
346,861,935,782,050,628,931,887,671,691,618,447,115,871,469,589,477,556,952,
457,927,272,782,914,631,059,781,973,333,016,169,672,948,969,137,271,224,023,
887,578,516,371,716,231,100,148,905,737,862,148,463,694,881,061,298,183,821,
832,350,008,443,994,924,556,023,566,200,221,418,228,439,223,994,343,000,829,
430,238,218,158,335,707,703,276,259,815,861,770,907,777,182,491,415,932,895,
214,415,561,851,997,952,178,597,883,562,531,105,489,554,518,608,396,438,810,
040,123,368,758,428,670,404,392,065,109,760,545,743,755,394,853,473,571,497,
764,395,330,390,467,257,126,714,252,999,908,469,002,390,610,875,272,409,878,
791,426,438,657,449,222,918,545,590,452,640,194,380,737,606,657,490,369,498,
846,553,276,546,492,933,883,267,819,803,872,892,556,549,044,123,937,064,983,
786,352,777,959,460,384,972,218,727,458,342,486,923,959,993,172,700,419,375,
732,443,136,482,654,006,110,231,145,966,768,666,052,027,422,907,614,552,008,
468,413,484,785,393,513,516,411,555,445,575,812,938,002,741,237,845,609,340,
402,836,496,033,945,926,243,793,269,727,954,853,198,598,800,385,629,853,151,
327,759,480,130,595,145,524,232,565,478,576,202,964,209,529,256,177,094,268,
212,444,658,034,154,135,691,248,051,667,832,203,719,875,338,939,244,057,250,
343,464,039,676,665,493,323,020,640,420,092,403,990,951,863,133,459,437,852,
803,345,694,738,594,386,610,657,813,015,344,338,314,462,949,744,571,346,408,
702,430,943,204,343,904,584,876,935,377,667,532,926,965,920,118,350,201,345,
202,611,911,596,133,056,178,545,002,156,804,446,623,453,427,798,029,014,486,
121,483,708,562,135,913,289,841,277,678,687,567,149,596,054,841,137,971,543,
220,654,831,150,082,164,091,115,899,407,370,551,788,142,104,439,883,088,169,
718,026,490,581,703,412,257,110,392,689,464,285,411,546,483,863,468,323,019,
703,527,181,494,501,373,355,468,630,104,497,369,269,963,662,044,918,678,703,
246,071,041,432,977,749,692,639,208,129,747,356,553,466,602,119,667,118,549,
243,339,451,146,768,672,006,089,509,006,200,389,490,446,263,474,836,256,846,
814,616,777,574,907,006,854,903,471,037,115,914,867,701,657,984,966,206,518,
052,471,163,882,033,686,704,461,558,626,767,168,003,447,009,352,617,864,023,
715,051,538,525,803,939,543,668,253,430,101,531,250,023,314,746,419,217,432,
861,807,567,779,419,581,052,309,574,755,050,065,380,737,195,722,488,283,041,
206,639,995,749,452,389,167,517,915,767,353,065,519,826,462,023,137,872,452,
278,225,012,701,263,655,012,538,449,652,561,335,115,263,661,016,359,569,331,
271,719,635,180,015,677,183,052,380,617,912,676,178,893,091,166,853,147,286,
179,622,320,237,452,651,043,176,917,254,046,657,017,138,387,727,028,035,614,
408,790,886,664,964,480,322,225,540,725,401,454,015,267,391,136,580,822,770,
953,196,188,022,744,236,843,609,436,626,023,721,058,975,681,835,560,010,778,
050,548,169,858,749,135,191,645,606,957,117,297,433,019,529,859,094,623,995,
779,909,430,939,186,028,667,947,744,821,567,342,713,345,364,138,233,806,319,
450,501,630,008,770,482,849,933,097,265,265,800,659,529,394,038,973,434,826,
643,641,724,935,619,658,819,259,899,090,758,092,142,724,101,137,780,030,594,
950,592,897,291,603,448,083,833,959,519,447,862,469,308,398,843,122,341,836,
521,471,197,475,159,736,005,053,138,429,165,071,030,169,260,078,332,078,358,
861,917,727,443,655,719,516,468,975,722,814,989,166,429,439,362,060,838,251,
206,188,323,004,221,781,954,844,692,181,524,855,095,460,894,907,423,758,758,
151,713,353,343,483,560,173,587,486,367,793,737,895,192,470,563,956,327,371,
628,857,352,748,961,085,030,089,617,512,090,560,076,029,612,153,693,378,627,
496,375,600,881,068,809,090,647,331,360,355,107,222,384,377,700,322,948,859,
198,815,759,728,979,408,967,218,328,780,440,349,665,602,089,809,014,304,362,
936,982,062,730,424,423,688,411,797,189,396,008,829,964,518,228,436,261,002,
929,631,372,286,272,615,681,585,035,780,161,187,900,391,310,962,007,494,260,
898,857,048,168,896,608,679,391,338,823,111,684,101,453,859,167,294,659,166,
941,051,788,264,770,756,120,114,914,879,443,642,513,399,415,235,042,876,460,
356,437,564,673,613,030,793,748,747,320,022,880,773,501,023,590,963,380,068,
179,189,912,169,627,711,220,624,962,870,847,528,882,665,949,855,650,197,607,
405,146,367,006,160,057,722,552,273,318,738,500,314,105,770,427,343,313,594,
545,532,305,809,684,484,645,373,890,806,608,696,869,035,848,391,245,504,744,
734,930,801,045,344,035,937,810,097,276,332,599,548,578,533,785,208,313,591,
108,839,160,724,044,394,260,619,435,077,398,046,047,979,233,989,826,730,504,
575,561,690,309,449,292,002,656,765,521,248,617,498,839,147,936,915,537,764,
420,543,939,768,793,980,119,899,570,094,184,704,084,970,013,472,752,742,301,
501,420,587,202,468,761,029,112,111,419,885,703,489,350,166,337,825,316,827,
212,109,415,419,174,838,156,928,659,223,114,030,391,691,532,670,678,719,198,
178,882,333,784,803,667,036,853,855,825,448,925,431,728,169,339,443,247,038,
613,864,179,396,009,743,417,257,039,390,372,925,180,231,315,377,767,787,282,
714,600,238,772,521,037,830,728,504,523,714,824,734,990,316,095,333,301,693,
673,348,418,999,399,887,095,186,504,049,104,109,512,130,035,686,791,854,034,
807,598,016,227,019,604,315,215,222,911,102,521,636,823,412,648,921,627,595,
385,746,979,497,216,944,039,891,577,476,260,750,711,895,396,433,457,613,052,
083,503,774,339,527,034,622,123,996,188,218,447,555,566,348,452,945,390,858,
470,293,495,108,986,650,902,494,443,810,426,109,566,846,730,979,721,215,930,
965,013,390,738,741,433,019,014,262,883,573,345,380,812,597,442,847,807,846,
571,589,679,158,983,070,319,383,458,228,660,160,306,304,630,828,093,107,537,
293,806,905,200,750,866,796,712,064,207,205,940,722,633,757,774,230,620,621,
463,556,192,596,508,312,149,839,763,263,705,261,085,041,717,618,873,652,275,
468,852,810,708,880,894,271,634,085,605,776,152,192,042,989,207,109,952,044,
102,019,358,281,308,809,417,593,509,357,238,425,268,933,348,277,520,301,653,
264,854,707,200,077,864,505,161,348,376,761,728,618,839,547,682,822,193,722,
434,284,169,576,137,466,984,529,738,988,100,840,766,447,693,572,617,012,832,
353,377,506,136,368,332,003,081,314,077,456,679,148,196,675,176,930,456,233,
715,805,681,879,634,861,145,982,930,536,616,701,962,919,832,587,009,962,599,
754,764,761,332,115,859,987,586,391,515,696,013,575,440,631,161,585,525,916,
277,544,233,046,325,808,813,732,028,459,660,392,564,057,088,847,439,565,955,
279,207,707,131,756,711,026,006,730,415,194,284,915,587,831,803,577,990,088,
678,694,007,278,490,827,200,302,605,158,476,744,808,310,899,366,205,858,492,
609,784,415,258,995,452,512,462,766,283,241,046,075,070,071,530,351,436,471,
929,474,152,568,378,653,245,136,156,972,518,503,420,182,073,975,467,842,192,
194,133,588,293,280,619,179,795,079,998,442,926,798,361,922,312,156,663,204,
536,579,649,431,800,781,917,919,331,122,162,575,956,639,629,543,915,464,891,
821,172,078,732,211,708,179,413,565,644,124,734,365,037,030,350,972,375,639,
581,891,173,475,246,987,040,362,873,537,709,387,245,774,536,229,817,128,425,
662,598,100,960,022,131,156,122,970,617,282,933,067,054,841,459,132,139,933,
089,577,254,182,944,892,535,316,103,849,937,319,142,323,480,015,196,086,510,
044,183,200,881,268,677,325,875,178,409,967,849,734,923,007,588,420,585,366,
106,890,555,082,030,203,916,511,597,080,298,597,486,876,517,665,815,374,182,
343,196,927,126,692,000,807,977,540,871,713,959,028,470,968,706,447,404,227,
920,935,405,371,573,214,549,512,833,587,382,743,123,159,799,763,705,343,411,
729,234,841,311,413,387,502,621,985,200,729,188,809,619,179,163,327,132,839,
365,077,752,878,749,834,132,088,523,860,625,310,276,082,518,640,147,576,561,
323,906,126,762,549,944,420,689,112,525,080,748,285,276,301,835,638,722,604,
912,438,012,806,634,213,474,786,772,039,392,548,584,669,394,190,958,583,372,
801,279,131,083,386,338,185,360,599,074,561,598,572,227,910,610,947,505,722,
898,742,050,077,596,688,633,954,388,751,911,368,659,952,144,782,633,093,829,
389,013,883,146,266,929,507,078,809,836,554,453,625,261,587,805,698,782,198,
346,139,647,188,175,811,823,452,035,400,644,191,472,842,688,316,552,772,785,
402,518,939,984,801,868,158,879,911,899,447,329,059,174,768,385,392,107,915,
444,393,526,812,563,417,932,497,872,119,247,084,208,777,562,115,254,139,945,
864,857,674,365,528,344,538,681,422,847,441,239,856,367,588,393,738,066,365,
095,248,671,021,471,509,336,847,462,392,693,184,581,155,411,462,316,472,034,
970,374,578,590,744,201,959,290,712,526,654,390,989,563,730,272,693,299,025,
651,971,355,907,418,267,340,832,427,284,216,300,052,472,444,656,864,085,982,
709,701,261,263,731,527,311,912,686,708,856,133,915,993,151,205,032,132,965,
389,664,655,605,441,260,046,046,345,748,804,636,838,568,704,487,458,175,537,
381,386,359,271,514,522,072,315,405,113,976,125,290,236,514,215,145,589,805,
169,156,061,260,467,341,131,763,862,022,634,115,680,124,323,995,094,444,814,
992,776,643,396,344,467,970,655,064,006,440,052,377,836,661,944,394,717,399,
860,860,612,668,151,496,171,339,816,997,656,890,112,684,298,751,713,536,448,
958,377,885,247,777,011,860,150,408,372,568,301,870,523,378,448,428,254,030,
556,994,479,996,648,250,555,665,392,281,812,936,371,694,735,639,664,797,465,
721,424,532,764,295,568,333,232,377,739,662,754,636,194,780,453,067,161,636,
268,231,961,672,680,394,422,727,945,366,934,768,301,326,428,011,371,239,843,
948,606,276,032,905,553,734,723,036,790,304,769,533,125,580,208,196,925,165,
555,612,310,429,157,308,375,638,165,549,534,393,210,525,855,865,939,612,174,
039,060,485,031,420,430,055,842,706,506,361,092,650,843,952,680,313,239,273,
900,999,327,486,283,494,503,883,620,353,000,417,850,395,119,884,280,535,291,
214,482,217,290,449,363,099,142,977,551,008,748,576,591,759,922,701,953,340,
252,400,409,312,594,229,530,927,587,856,270,282,886,952,234,639,303,645,716,
436,909,404,883,743,848,882,791,889,741,544,981,744,912,249,316,379,891,793,
530,075,359,193,840,652,484,415,953,878,270,825,129,429,008,390,944,263,107,
003,829,347,328,236,123,597,964,144,672,022,773,536,508,806,253,731,209,972,
735,736,660,458,276,523,296,078,961,373,295,846,496,325,988,035,804,531,872,
830,674,814,995,481,525,536,727,504,263,786,623,432,471,717,696,957,139,010,
720,717,041,976,285,106,901,263,193,887,821,294,585,679,389,583,957,563,957,
422,041,999,196,873,255,755,002,826,770,641,943,514,962,291,205,170,257,743,
368,710,092,811,573,485,693,094,453,189,541,283,868,154,939,120,018,219,639,
175,913,097,596,916,723,285,613,235,783,547,089,355,844,690,071,016,958,567,
487,897,302,116,039,149,842,999,013,825,399,193,959,257,842,253,033,766,832,
627,943,043,722,118,389,080,072,843,766,615,564,266,702,078,088,849,913,668,
198,500,852,373,832,420,634,089,518,488,203,748,098,974,655,053,873,827,623,
399,023,912,342,231,011,673,608,438,045,222,246,301,543,386,246,680,634,644,
993,400,342,886,310,087,929,262,670,067,675,543,758,242,989,197,836,345,247,
286,089,931,812,891,166,645,903,154,619,886,157,239,728,705,940,164,826,128,
519,709,923,416,415,700,261,534,996,714,117,936,607,508,716,566,291,413,885,
442,150,340,941,637,199,620,389,567,972,114,788,388,654,236,502,969,044,115,
815,013,592,736,379,454,621,067,183,446,616,526,899,599,954,828,882,997,732,
368,066,218,956,854,670,806,465,651,754,200,399,570,719,770,087,849,520,201,
716,700,322,115,915,391,759,749,962,402,891,013,878,749,501,392,873,881,013,
506,226,472,463,813,792,462,155,227,555,978,948,017,580,654,139,597,121,849,
417,854,852,113,892,923,573,465,575,115,893,280,173,901,036,569,755,306,958,
985,045,449,186,860,822,010,049,671,855,939,480,777,493,347,913,178,645,026,
492,429,129,880,551,988,732,837,014,850,337,094,859,493,691,839,488,313,898,
983,275,519,142,925,517,070,448,855,809,679,697,702,996,743,782,352,338,867,
856,039,243,488,914,499,836,793,819,026,994,658,979,235,926,231,524,160,497,
525,141,705,360,627,420,211,077,415,963,043,926,985,146,773,293,547,403,044,
066,684,930,857,112,837,269,994,752,872,563,298,357,207,477,847,696,696,752,
380,118,123,874,133,344,533,159,727,501,999,342,180,270,440,672,719,984,979,
527,445,883,657,347,115,612,907,875,694,206,941,214,257,240,671,057,187,542,
240,253,016,567,639,920,461,368,414,091,657,630,852,912,552,217,871,804,152,
545,174,011,928,348,924,661,187,137,853,109,766,790,687,283,920,965,238,308,
356,655,961,478,484,784,719,091,211,561,814,872,190,308,872,854,831,901,801,
260,657,426,807,244,288,271,913,161,157,881,847,187,281,466,599,874,019,901,
530,030,287,777,175,403,154,033,828,679,568,995,932,378,613,083,058,602,253,
840,287,265,461,505,052,637,674,568,591,640,218,387,494,906,437,460,195,060,
947,611,390,883,421,923,782,825,781,060,094,150,882,516,317,170,289,664,046,
391,211,567,078,824,017,740,250,092,594,304,857,103,646,004,165,775,007,070,
323,414,588,232,827,263,233,755,509,851,744,187,337,883,388,305,946,745,847,
910,253,334,682,275,315,114,293,009,393,818,812,127,010,043,652,626,651,734,
595,252,124,026,715,840,643,806,808,014,217,575,599,145,751,178,091,556,660,
649,976,498,187,623,281,276,341,092,989,562,448,153,261,086,237,826,882,312,
795,973,904,199,206,260,664,907,398,189,801,398,707,094,470,642,184,509,362,
642,068,934,363,325,266,752,477,373,199,886,317,443,651,158,125,445,596,186,
449,936,241,367,685,220,159,124,072,351,272,389,166,865,407,936,322,390,304,
594,360,586,808,284,147,033,955,352,773,236,498,275,618,785,691,421,204,082,
793,968,583,937,579,461,678,797,499,425,760,158,892,092,126,870,786,261,312,
250,325,616,080,950,599,679,285,384,305,861,679,553,788,746,445,705,324,518,
186,410,368,877,376,357,128,317,880,879,551,090,467,470,865,289,169,905,099,
114,769,043,937,079,293,405,644,256,208,662,853,608,493,698,435,230,437,592,
162,750,090,626,827,414,193,588,796,933,567,427,348,723,532,160,514,265,919,
130,581,465,185,474,472,733,425,119,844,194,827,158,555,391,149,843,321,775,
425,924,984,440,970,536,430,390,902,734,314,478,675,227,875,881,414,317,295,
918,058,594,351,195,241,777,146,469,579,704,189,642,906,221,860,963,899,286,
488,373,303,477,944,279,299,148,430,657,254,858,274,630,217,392,603,669,275,
095,015,447,648,815,323,632,265,831,310,772,821,005,574,307,745,226,952,444,
325,578,864,194,968,055,633,390,491,720,493,096,916,874,753,174,326,669,582,
972,404,951,627,637,722,188,898,011,437,239,579,868,101,826,581,158,882,671,
011,626,478,660,366,452,431,628,549,693,853,394,337,918,237,734,635,344,861,
881,063,369,997,451,319,537,134,165,002,014,892,989,685,816,527,568,828,045,
164,462,576,407,636,398,452,047,525,837,575,708,770,787,483,378,029,642,751,
276,828,657,490,166,281,367,501,514,532,892,036,243,159,223,599,220,152,531,
361,166,352,323,672,746,058,589,538,442,199,110,549,625,017,994,666,807,637,
150,765,791,016,718,270,496,918,690,796,186,605,504,938,465,735,667,548,181,
472,274,202,004,511,110,675,417,133,455,396,649,472,781,673,539,902,977,264,
255,671,412,698,729,040,077,423,656,811,269,861,238,004,830,295,473,860,645,
272,355,129,249,042,101,588,979,773,346,649,148,477,824,693,778,908,607,708,
834,220,533,401,649,131,205,807,553,567,331,787,880,150,141,276,356,232,913,
727,919,917,414,523,143,805,646,046,231,410,886,157,536,650,190,892,453,455,
873,965,262,064,285,248,088,867,568,933,860,295,257,431,450,582,849,673,037,
451,926,010,816,471,683,523,510,223,492,030,315,666,244,436,843,800,927,853,
870,257,651,938,115,295,819,698,123,730,304,921,415,164,412,716,356,464,400,
136,006,374,201,568,416,622,884,741,232,698,381,544,951,423,982,004,804,803,
321,319,618,487,394,044,035,227,652,365,391,063,593,203,285,069,517,777,347,
410,496,262,825,860,911,286,945,404,575,915,945,450,066,843,435,456,553,168,
829,501,287,541,958,811,765,042,719,424,727,125,945,521,882,315,870,808,689,
262,436,825,944,671,018,698,781,344,106,315,084,540,206,118,409,596,384,482,
453,102,293,932,747,243,781,376,477,551,998,353,838,730,366,631,807,315,950,
197,368,190,990,737,860,301,024,130,573,479,578,768,624,035,723,226,213,546,
407,501,328,010,107,766,868,402,114,398,095,510,250,519,919,785,585,491,914,
401,606,092,686,818,500,053,921,428,683,321,028,920,059,183,470,660,124,889,
501,687,696,131,123,366,098,450,856,948,677,322,676,477,185,193,540,844,941,
883,026,165,545,797,363,609,784,166,092,971,072,412,575,147,176,705,358,351,
992,572,555,420,669,317,314,538,011,019,413,095,192,350,952,059,654,218,208,
309,452,700,034,020,484,856,488,858,794,797,956,070,495,343,416,595,673,221,
585,004,848,279,338,013,690,938,488,904,817,928,714,543,688,763,910,048,384,
300,783,042,356,651,989,914,207,801,940,945,641,574,399,780,223,500,991,603,
911,034,445,683,903,810,197,767,298,297,492,553,231,960,372,568,698,456,024,
782,131,457,806,330,834,127,954,813,059,793,047,662,569,395,933,312,345,802,
407,015,210,479,581,913,177,471,757,804,147,071,099,500,806,539,067,887,210,
857,117,978,735,948,571,718,588,024,835,642,930,391,942,172,488,830,645,626,
890,608,455,032,930,702,082,889,209,889,989,382,276,261,821,356,190,275,375,
183,382,059,609,781,987,491,300,942,966,549,460,556,558,054,419,425,197,129,
078,810,138,896,781,679,828,590,615,336,836,540,630,783,238,204,082,904,917,
704,009,535,229,116,746,287,191,136,345,009,171,376,421,717,095,446,593,020,
251,817,579,348,973,149,908,566,983,395,909,788,020,315,957,144,487,233,117,
701,291,712,896,680,691,372,179,244,722,490,271,680,233,128,973,292,518,837,
895,105,931,448,250,361,193,477,961,136,577,630,555,444,453,843,985,479,691,
295,042,442,804,856,368,040,611,625,274,747,575,771,643,152,756,268,682,083,
391,069,435,162,098,107,132,420,018,998,284,922,183,181,251,485,726,368,035,
417,593,032,709,872,102,854,948,526,962,304,388,674,276,981,318,707,964,376,
773,207,222,986,258,518,143,781,877,324,278,707,365,731,989,871,694,455,602,
065,928,917,110,856,075,223,913,191,800,025,979,059,541,200,709,511,025,133,
687,480,387,792,460,213,339,633,974,830,845,144,756,125,841,680,677,639,813,
928,013,559,056,413,607,586,913,286,347,758,293,602,239,321,643,380,831,283,
690,762,641,526,074,885,648,947,330,169,436,417,098,761,284,190,991,478,413,
706,648,984,516,104,531,065,983,241,952,553,565,611,432,096,651,706,445,811,
111,963,295,370,457,773,680,585,110,878,457,398,099,777,905,898,423,451,908,
978,522,927,251,920,177,884,405,573,593,267,771,692,136,107,439,965,741,914,
600,967,988,984,821,866,136,580,762,823,903,438,643,592,958,393,328,375,278,
948,038,277,562,389,655,823,404,632,994,066,958,497,390,247,350,361,845,535,
931,364,214,453,485,743,393,009,409,329,818,293,759,010,223,395,514,722,744,
522,479,353,545,844,065,813,780,588,206,550,337,104,349,258,492,519,017,251,
642,630,534,101,771,302,702,222,961,644,536,266,905,019,805,222,561,207,908,
100,805,718,784,700,866,969,706,997,587,343,610,875,452,344,987,097,726,530,
038,536,786,069,913,654,370,703,934,854,631,558,789,837,233,822,005,772,439,
313,629,968,076,971,165,854,816,267,955,820,337,118,532,585,982,800,866,205,
065,313,082,466,416,316,820,096,189,687,579,534,135,544,466,880,668,716,737,
835,676,095,719,025,884,360,237,530,093,956,079,011,202,419,349,200,866,037,
365,380,616,537,480,896,459,382,794,012,445,165,255,230,159,376,857,324,548,
120,575,202,094,386,324,119,230,748,361,817,991,656,568,265,108,635,941,856,
534,178,117,099,872,763,082,179,868,994,364,408,985,552,047,116,813,449,428,
603,160,748,834,515,098,577,503,574,752,210,702,265,547,192,076,372,196,317,
687,484,113,456,349,259,614,898,072,077,995,137,378,266,804,952,776,513,942,
049,073,010,707,051,785,532,837,595,816,903,434,758,082,313,484,130,626,501,
247,191,232,689,185,410,574,666,973,193,528,569,503,633,254,226,425,276,072,
703,566,717,010,224,097,019,884,163,580,195,836,805,570,367,474,396,539,896,
034,571,050,594,984,030,541,137,315,157,300,774,368,766,170,853,022,741,088,
698,248,329,311,347,957,448,792,340,665,719,513,266,563,699,767,816,931,232,
715,466,673,794,891,117,134,232,405,473,528,519,171,546,906,294,592,478,434,
335,300,301,237,825,958,903,615,883,204,289,631,857,244,903,432,965,818,603,
233,370,535,542,958,449,536,930,980,568,738,315,301,561,883,676,988,583,130,
216,888,688,640,025,175,661,913,421,299,542,107,508,257,741,454,388,469,864,
704,714,652,341,727,570,456,256,058,923,792,782,030,228,752,982,963,764,155,
815,241,495,528,699,021,310,783,337,796,076,451,413,510,757,056,799,396,559,
706,924,576,278,272,551,192,122,123,271,313,086,800,564,959,339,526,457,485,
917,254,938,231,828,220,144,803,291,538,195,930,252,327,838,433,118,374,452,
181,041,824,871,641,095,369,295,393,989,403,556,737,778,926,633,314,472,468,
228,556,663,827,414,426,722,175,925,228,929,664,245,281,272,482,037,772,499,
278,218,605,245,938,076,335,173,505,337,976,820,803,449,805,764,828,568,299,
778,512,400,947,939,882,528,899,992,878,460,718,816,292,735,883,972,030,479,
170,050,052,019,885,971,295,535,722,221,199,424,245,406,243,303,244,194,149,
522,630,854,901,612,669,446,558,767,830,119,962,855,635,192,252,072,187,554,
891,357,796,359,792,180,886,993,825,666,490,000,834,711,073,724,125,210,348,
957,402,508,626,344,495,994,524,699,973,361,004,634,484,581,588,090,932,443,
841,433,814,305,485,028,486,944,473,665,812,558,338,207,266,400,679,823,468,
189,838,663,347,414,205,340,005,085,755,305,829,035,610,524,750,714,618,341,
251,766,074,565,203,131,570,467,840,467,279,460,106,366,713,280,074,487,036,
141,225,263,898,590,817,683,346,655,979,338,429,403,353,556,336,426,833,388,
633,184,196,585,297,605,692,135,640,949,864,266,749,932,044,997,793,655,661,
330,672,924,753,208,906,502,569,490,232,063,772,805,148,665,594,698,755,465,
450,542,161,342,755,827,720,963,281,949,227,768,385,443,360,588,919,517,763,
657,651,165,989,554,297,110,797,196,390,177,800,714,226,183,591,551,315,235,
335,250,417,020,702,155,768,279,093,048,057,278,870,839,772,537,535,844,319,
252,512,165,250,154,934,306,670,193,224,199,934,540,716,556,412,765,930,656,
577,256,812,144,173,628,753,512,553,908,347,710,878,520,756,062,333,429,929,
524,950,553,086,182,568,415,811,368,694,308,629,103,027,333,914,855,058,609,
531,737,707,019,439,213,687,749,028,304,291,398,577,894,925,784,021,172,895,
487,261,949,172,049,578,593,109,833,944,221,691,332,439,430,751,837,938,003,
011,066,158,404,759,420,389,345,583,318,548,633,396,238,569,307,225,265,416,
004,252,745,977,434,246,857,197,124,929,751,197,432,498,284,605,710,528,203,
588,411,684,768,034,577,154,544,395,877,738,479,459,203,378,142,111,768,951,
816,787,089,614,886,891,406,827,907,321,345,732,406,298,744,499,895,903,678,
364,715,703,569,709,141,956,885,016,704,304,659,116,504,510,715,474,407,911,
664,094,471,040,046,790,709,490,145,414,454,169,245,844,769,989,014,619,668,
488,818,260,346,570,247,614,674,471,661,503,807,014,752,220,837,965,173,726,
830,545,673,432,536,326,424,286,195,023,600,183,903,555,164,409,680,283,149,
967,688,806,948,421,978,940,757,319,905,567,315,845,329,307,396,279,231,273,
980,945,116,930,945,439,831,019,172,504,422,536,379,190,613,152,404,501,328,
589,458,237,243,241,135,425,017,355,454,153,687,140,336,472,393,279,944,260,
844,169,820,312,688,312,029,104,920,180,909,930,056,707,168,684,047,304,412,
270,090,545,092,757,038,523,560,395,484,938,308,779,813,087,578,330,108,172,
828,484,865,804,884,246,308,071,677,385,852,270,018,312,467,588,684,577,692,
503,353,194,156,706,461,194,587,645,108,083,838,423,883,319,845,032,017,198,
763,049,332,681,751,160,747,829,620,705,226,467,917,318,674,471,808,882,717,
778,915,950,974,908,690,008,375,312,959,856,759,851,792,414,055,895,826,574,
934,641,261,064,701,126,933,409,012,679,271,286,484,277,249,137,209,551,043,
696,099,923,890,158,666,108,433,756,110,636,318,368,093,768,997,599,680,735,
909,794,270,011,329,325,197,914,589,172,923,607,889,147,257,818,472,843,855,
973,923,505,628,523,362,861,249,445,820,789,519,193,978,418,602,109,440,969,
246,281,574,519,006,321,002,578,949,635,210,256,408,646,982,302,232,759,371,
153,487,830,780,490,749,592,206,134,056,168,389,574,777,879,420,273,871,692,
641,046,782,925,812,612,288,909,968,452,812,381,138,658,737,833,266,281,776,
232,688,310,001,392,950,363,227,530,830,954,453,408,281,293,235,555,566,921,
632,493,967,891,494,804,248,773,261,251,565,930,607,068,457,604,290,922,739,
670,721,835,843,114,837,495,201,378,309,960,686,734,116,053,104,111,393,999,
140,385,385,284,863,801,492,881,106,681,544,738,741,456,506,246,649,175,675,
831,325,684,431,981,230,940,223,004,470,003,511,767,096,284,688,511,433,363,
666,502,521,289,748,749,783,488,926,575,330,128,528,378,782,615,973,938,265,
363,142,759,319,759,108,184,211,007,085,075,152,981,936,155,720,718,221,670,
021,039,683,883,387,249,465,187,896,320,064,702,382,880,539,452,484,246,296,
825,072,826,584,355,153,310,854,872,339,525,027,333,990,271,767,357,917,075,
309,531,900,206,741,639,293,287,896,663,703,347,051,087,834,126,083,173,858,
894,890,470,049,048,163,905,879,203,581,498,471,705,179,406,732,557,510,957,
715,428,704,771,081,657,295,469,774,081,164,050,151,043,898,231,087,915,314,
587,762,931,107,444,829,590,432,391,709,143,141,253,422,700,303,760,820,435,
534,327,425,197,690,059,541,465,997,282,584,454,305,235,406,769,708,790,138,
997,517,593,553,197,056,644,654,040,712,951,248,832,240,172,346,503,473,390,
783,072,144,829,639,921,831,039,263,002,207,475,222,163,388,941,509,132,326,
391,456,455,077,810,845,297,981,773,026,902,043,473,690,362,550,672,006,955,
180,436,088,140,192,977,859,320,420,451,468,559,285,953,407,347,590,793,877,
927,217,379,003,652,220,822,954,061,130,035,767,901,767,254,337,054,010,545,
358,704,975,965,461,836,708,755,743,246,283,382,600,541,727,533,560,681,743,
346,057,569,011,543,747,146,079,221,554,938,052,527,551,679,637,468,290,117,
608,121,124,936,004,594,442,392,905,498,374,074,937,156,517,985,412,383,110,
273,290,117,769,039,184,516,481,863,747,169,279,762,580,622,667,478,791,622,
803,766,869,579,993,391,229,307,059,640,531,747,269,301,283,893,358,400,943,
356,135,478,614,794,410,234,143,531,208,103,675,639,966,014,633,831,154,295,
295,276,060,469,599,424,484,864,385,411,893,450,353,224,715,609,418,946,919,
575,279,150,687,966,835,211,730,471,251,769,082,112,321,496,463,246,353,460,
491,046,451,815,724,582,586,777,680,913,120,772,452,092,729,347,819,622,029,
695,558,359,723,372,628,209,273,327,184,056,657,011,919,304,818,928,422,600,
959,312,116,458,750,740,507,619,685,691,024,547,225,225,812,987,612,318,774,
916,872,844,455,577,018,866,773,118,919,414,394,740,313,135,198,801,179,691,
667,676,272,372,361,080,471,904,544,560,885,042,053,195,383,387,281,336,343,
864,562,772,241,702,299,828,533,022,510,181,666,834,960,314,618,706,511,845,
367,637,899,628,201,315,240,725,101,284,253,818,862,065,715,847,504,531,381,
100,943,664,583,699,586,365,789,508,675,173,977,650,972,655,582,207,856,831,
515,393,297,475,770,536,354,042,379,545,536,714,886,986,302,727,457,950,831,
811,146,160,054,028,663,387,034,283,499,427,134,198,563,727,236,127,644,664,
256,615,435,672,497,945,498,969,073,348,573,303,225,514,978,809,479,423,890,
004,653,909,734,568,119,364,262,109,005,108,049,216,019,836,138,317,161,090,
930,689,931,909,811,633,018,782,305,895,692,451,057,281,424,256,236,858,420,
759,660,328,940,935,819,419,732,702,424,400,699,747,549,503,533,343,609,030,
194,023,180,643,142,952,918,997,131,614,927,157,625,435,273,263,807,575,442,
492,486,841,455,527,337,188,245,643,304,882,765,363,980,016,143,560,904,198,
068,123,882,004,491,214,256,448,663,776,887,202,544,620,521,114,881,828,538,
548,687,237,236,496,950,131,654,821,533,090,376,611,672,559,280,782,191,353,
689,103,902,030,282,251,970,971,912,995,734,725,577,889,079,199,760,699,933,
052,580,800,602,268,184,383,922,632,774,443,214,663,854,615,548,111,539,027,
451,442,885,806,424,233,532,089,582,225,767,126,973,133,036,424,061,450,851,
069,631,409,199,130,618,256,431,828,052,614,779,177,809,182,742,158,890,293,
540,670,073,475,215,376,107,030,862,214,172,290,030,041,922,089,267,735,912,
318,773,417,080,126,991,030,385,882,930,128,139,110,754,974,150,188,727,677,
001,370,143,216,824,526,874,891,435,067,328,907,792,531,449,674,255,574,001,
529,519,637,221,829,506,903,046,745,865,641,053,428,885,216,498,131,347,096,
945,674,996,088,758,018,743,551,603,996,063,110,708,783,842,681,583,598,126,
469,971,609,851,311,391,898,635,355,851,733,392,787,205,656,606,371,320,159,
574,064,924,760,744,437,198,113,065,950,573,348,000,829,280,489,477,596,225,
066,304,624,615,149,394,097,033,022,077,897,874,406,897,077,724,255,880,541,
767,304,022,835,836,839,259,607,750,587,813,113,879,611,817,124,565,066,714,
912,729,424,355,314,671,215,841,274,397,905,365,383,672,464,757,004,604,372,
219,186,671,045,024,903,531,155,755,700,359,918,417,952,364,202,031,307,405,
137,569,512,892,994,154,831,246,708,047,158,602,735,940,590,612,501,506,955,
005,314,395,215,226,509,449,591,869,021,451,980,856,937,186,593,713,680,948,
968,680,714,786,609,467,777,025,325,798,598,415,452,612,230,136,566,023,991,
839,473,792,826,995,019,392,095,401,122,961,749,437,391,140,633,272,621,376,
185,114,973,615,268,846,259,374,743,815,386,372,290,172,706,266,761,494,502,
320,724,698,671,678,067,727,182,531,298,579,152,325,513,403,197,598,355,325,
891,135,647,130,252,630,662,490,020,482,583,988,172,236,871,714,076,090,720,
478,217,191,711,666,059,236,913,767,321,861,894,570,554,595,517,042,770,236,
579,459,907,973,196,522,187,784,926,163,533,202,450,832,586,598,466,120,747,
149,661,347,384,285,608,665,958,051,819,711,393,823,584,665,720,885,040,613,
614,144,600,215,081,303,068,684,972,611,539,793,951,529,883,264,298,677,639,
045,035,813,521,473,578,264,855,570,113,805,008,995,917,145,148,636,642,941,
579,615,200,474,013,252,532,211,373,199,550,222,047,744,588,161,832,511,260,
324,233,408,646,030,994,908,084,265,456,972,276,333,904,834,001,135,216,143,
465,551,712,789,228,898,095,145,819,628,883,793,247,705,705,116,588,161,302,
033,254,178,389,916,709,628,435,051,138,768,450,065,388,481,179,060,453,783,
102,835,018,976,624,723,605,468,512,139,739,631,662,800,315,583,011,182,482,
342,102,985,676,858,688,169,589,575,429,990,846,898,679,430,815,255,118,103,
819,644,705,263,819,277,379,214,660,122,354,573,275,556,095,122,866,426,081,
302,422,198,655,729,036,948,060,832,593,335,831,230,591,131,706,827,134,485,
330,181,399,928,818,234,589,127,911,638,380,704,394,288,574,604,580,142,684,
096,800,670,840,478,845,169,647,838,209,246,478,058,629,218,720,523,659,494,
164,256,941,190,530,487,391,291,407,944,286,683,542,585,650,193,078,328,231,
352,703,879,163,257,104,118,875,299,948,454,997,080,744,043,348,879,657,487,
315,390,190,267,383,441,909,512,200,189,960,950,734,536,183,754,109,631,977,
027,322,248,207,309,065,189,470,455,393,854,288,700,338,134,665,823,695,493,
108,054,042,450,327,167,589,005,057,403,220,328,052,478,544,022,465,917,930,
515,966,992,225,493,394,560,611,557,943,964,343,560,192,149,122,334,240,831,
677,110,379,173,177,681,613,273,689,034,949,596,207,705,109,278,421,424,354,
796,683,621,043,984,495,149,093,305,536,132,180,462,816,842,594,586,806,744,
219,654,770,951,466,726,752,316,828,185,769,688,281,828,824,177,882,773,070,
928,330,594,614,666,743,469,229,443,690,929,434,865,610,416,991,350,665,190,
933,856,228,929,346,954,195,685,946,535,336,852,456,490,299,230,495,561,815,
258,164,523,142,343,828,508,476,360,676,530,636,091,769,324,068,041,350,911,
787,179,605,154,445,885,177,912,893,447,834,706,323,902,932,477,578,356,019,
876,665,973,018,826,329,239,371,040,753,763,727,162,686,190,519,517,629,366,
572,853,513,488,404,618,482,332,917,198,992,692,203,495,201,730,476,382,571,
033,560,481,749,970,464,185,839,195,638,657,562,264,149,200,012,190,438,796,
804,483,343,511,362,295,498,656,581,913,311,084,059,531,580,170,779,834,891,
809,178,958,248,838,841,446,013,311,489,175,454,206,798,579,530,476,149,997,
942,741,540,299,011,207,470,256,351,310,147,099,236,079,073,733,827,741,295,
172,249,782,622,739,560,134,696,698,646,117,822,803,098,223,104,871,189,977,
765,047,637,947,828,023,137,392,487,790,839,852,736,459,375,637,951,520,566,
575,239,440,389,993,162,612,885,993,988,825,971,682,633,798,335,881,111,418,
137,339,017,769,855,553,489,992,683,019,333,125,255,068,610,598,912,661,860,
018,761,453,979,451,778,174,838,345,081,888,196,530,192,674,964,598,699,136,
413,209,277,051,056,517,967,597,438,737,155,033,944,691,922,758,989,602,939,
126,125,404,753,454,883,549,372,633,539,314,237,577,051,841,838,933,010,882,
332,665,553,570,992,514,060,553,192,033,268,650,742,870,772,297,844,311,541,
924,351,227,559,317,958,132,278,780,539,741,956,930,986,639,782,163,625,744,
472,879,509,369,725,843,899,526,564,730,954,436,457,389,181,257,860,424,950,
552,659,735,423,413,943,723,821,868,453,127,449,992,513,993,772,655,398,783,
365,650,460,998,071,428,400,297,318,732,156,998,280,862,351,431,500,779,771,
939,640,892,347,276,201,124,348,697,985,023,496,124,961,841,240,604,946,637,
591,047,725,415,278,003,460,590,711,032,594,356,855,022,492,927,926,854,617,
568,909,233,836,242,073,355,062,380,880,792,980,285,722,717,749,649,336,836,
538,853,052,664,898,974,641,904,986,580,265,540,966,175,335,268,502,934,741,
863,131,423,862,221,250,313,523,660,629,547,440,205,342,835,072,175,312,116,
362,019,723,810,631,831,812,901,080,006,054,529,483,231,637,239,504,692,827,
937,352,761,705,807,880,037,065,880,121,988,428,812,029,722,631,725,956,964,
594,928,161,442,736,571,904,469,806,036,919,979,105,099,526,091,812,785,067,
205,482,883,973,939,324,534,242,022,604,744,914,432,539,033,785,251,934,304,
609,397,897,031,332,790,036,296,268,727,416,561,846,902,701,519,253,192,671,
617,387,925,668,583,639,186,757,850,520,873,517,390,747,879,182,342,844,272,
037,019,232,864,709,867,752,005,504,729,040,896,873,867,923,452,108,018,784,
803,072,709,554,652,735,154,977,072,970,478,395,315,331,201,526,193,477,552,
489,619,189,620,467,575,400,665,292,864,635,574,259,935,642,704,990,878,001,
914,813,726,569,406,961,012,831,265,859,095,543,443,499,901,755,463,365,421,
850,093,588,955,184,399,816,866,180,072,955,065,000,976,275,836,631,402,066,
577,415,904,186,756,694,471,745,927,291,135,657,554,127,940,768,881,577,262,
809,625,400,205,044,020,579,482,789,702,888,838,213,819,590,470,589,819,677,
287,280,562,616,359,457,300,985,421,293,985,851,261,096,300,050,926,105,463,
925,484,780,606,575,072,424,965,406,275,034,770,301,780,851,411,720,288,466,
597,012,849,226,193,153,438,465,338,405,879,465,519,364,465,330,828,096,127,
342,324,970,159,800,243,793,270,622,175,504,120,172,274,074,239,301,368,695,
333,629,279,102,301,584,993,629,923,307,995,409,682,649,789,343,632,571,545,
693,661,315,638,535,425,590,556,490,322,402,379,822,717,903,813,308,627,570,
769,865,064,249,304,684,814,567,409,149,727,970,257,725,265,526,021,057,679,
415,895,224,065,670,244,559,360,176,828,603,968,608,958,860,972,410,584,511,
322,545,688,290,289,005,624,983,810,205,031,369,967,388,081,952,452,127,066,
865,509,888,192,264,923,973,227,852,822,232,119,820,053,169,251,764,642,585,
977,607,097,959,750,750,929,436,699,324,933,046,003,332,875,560,554,299,362,
073,463,135,757,331,049,567,229,139,573,368,657,990,578,696,305,218,589,562,
470,459,292,905,346,005,865,535,509,336,808,967,917,441,141,925,544,354,285,
239,644,107,729,189,305,841,977,874,856,561,160,601,825,086,813,685,914,189,
909,680,242,522,125,039,094,941,161,768,963,141,372,182,641,662,716,461,975,
764,313,707,280,030,976,512,090,445,341,112,104,657,024,516,650,422,863,163,
676,652,443,239,300,872,774,507,644,663,232,923,181,713,505,653,822,266,432,
035,395,656,255,235,823,511,908,075,323,484,730,872,704,536,897,715,892,686,
738,147,076,852,741,163,276,969,997,457,125,461,184,014,720,071,033,707,782,
743,402,569,993,340,975,684,618,709,849,717,237,969,217,208,163,003,308,174,
551,946,194,547,069,542,322,471,129,762,925,559,345,188,895,517,811,937,164,
927,807,497,494,453,243,690,642,798,266,069,080,345,086,936,478,368,212,952,
684,004,669,268,177,281,924,964,694,774,380,138,623,231,231,397,515,711,893,
667,647,391,072,637,795,641,132,877,851,291,690,992,690,419,487,178,382,345,
994,315,343,015,085,089,766,127,439,984,561,195,950,693,971,562,287,037,180,
670,237,061,903,966,917,733,986,023,795,255,017,820,344,597,055,556,292,447,
479,553,795,748,247,665,731,320,294,081,035,758,157,438,501,585,392,429,935,
326,991,191,294,939,269,561,831,583,000,217,432,176,758,610,063,844,543,701,
271,059,899,776,844,418,818,156,782,647,767,082,239,081,186,371,973,332,426,
264,779,028,283,700,346,942,900,255,375,326,713,971,685,342,893,312,742,696,
021,559,865,832,906,388,895,696,547,868,160,158,762,431,538,479,520,216,404,
272,824,348,129,861,747,017,015,063,829,008,286,020,004,427,689,807,168,092,
754,195,531,466,339,348,914,860,466,437,047,250,962,198,801,515,741,928,088,
230,862,372,231,715,843,786,819,448,118,953,811,384,886,236,451,382,726,150,
990,821,045,080,066,851,941,243,162,309,085,773,686,155,702,562,788,047,584,
270,505,933,866,520,377,531,435,275,757,647,353,750,964,036,573,431,334,441,
801,274,215,018,452,993,951,432,229,488,427,510,970,440,107,391,387,644,958,
895,432,695,530,878,140,968,588,349,464,327,197,995,896,550,500,504,512,916,
943,695,483,801,957,353,108,141,707,065,624,763,956,866,367,390,773,072,368,
117,601,941,642,149,230,715,561,645,393,805,587,155,380,465,465,685,859,138,
566,336,919,332,758,243,507,762,387,978,287,653,220,229,023,100,216,915,356,
568,260,703,322,743,163,662,534,064,092,881,156,162,597,935,193,660,385,737,
392,138,634,083,627,517,467,819,543,778,249,412,787,519,172,714,273,488,691,
258,032,831,479,304,514,631,067,036,691,944,263,496,656,215,310,344,547,065,
149,933,919,166,881,053,251,642,955,903,862,803,655,583,357,363,113,581,305,
972,384,131,198,260,589,108,383,799,742,030,889,988,288,903,079,006,512,305,
705,384,325,992,117,889,776,692,066,464,140,144,057,017,970,868,256,862,682,
110,740,788,806,862,372,522,346,201,595,019,567,093,234,397,998,695,058,688,
525,121,297,816,302,252,950,758,428,651,696,453,218,558,169,356,316,744,709,
908,380,467,793,634,944,885,196,590,289,417,689,315,908,851,558,432,804,213,
717,489,484,447,034,107,457,006,415,807,113,322,218,544,536,285,985,615,681,
438,739,903,452,056,817,924,927,710,173,316,248,009,162,640,392,783,748,994,
465,054,386,039,046,928,123,040,094,646,746,064,315,165,783,727,236,599,726,
484,995,823,346,703,813,119,428,885,446,262,631,396,316,166,592,133,874,003,
336,445,472,412,664,465,812,180,248,841,910,538,356,151,718,083,739,060,135,
755,282,158,864,640,337,142,186,173,856,795,770,300,605,556,371,056,000,609,
863,192,315,305,050,531,302,708,407,745,771,386,642,119,716,068,526,443,018,
465,625,112,336,983,572,422,195,048,727,114,829,303,529,899,061,073,315,674,
975,711,762,161,436,565,581,067,147,195,301,600,285,875,659,649,251,972,429,
491,776,841,533,653,551,159,449,298,666,302,953,990,321,286,904,849,097,183,
659,864,842,471,245,279,430,744,424,107,344,542,704,450,370,579,450,914,339,
298,657,785,742,872,918,338,595,555,054,908,945,600,192,447,978,323,151,545,
527,007,870,190,380,845,277,777,453,049,155,882,475,474,341,372,283,447,903,
163,562,844,103,964,096,618,179,857,301,228,854,635,488,193,388,753,466,992,
179,138,127,894,685,058,306,689,303,974,863,636,943,825,493,030,046,709,160,
497,322,476,851,869,489,342,620,408,637,653,877,616,285,223,929,989,350,870,
542,139,511,912,965,222,857,769,924,202,465,630,056,677,303,970,936,664,492,
579,408,829,868,157,323,701,994,557,653,499,867,447,832,909,502,643,506,636,
017,351,232,132,983,712,120,614,219,521,324,596,400,230,427,882,811,669,797,
085,824,497,282,375,066,364,504,844,327,165,271,708,120,474,251,256,120,813,
727,441,300,084,007,954,919,273,562,446,007,996,526,144,695,170,018,781,762,
074,853,568,488,035,484,005,101,707,566,551,271,993,999,333,920,007,145,773,
808,344,514,718,443,387,280,971,527,152,709,820,626,374,199,762,416,983,796,
885,361,573,053,188,098,898,213,490,778,965,578,670,576,328,731,353,727,379,
033,306,371,328,615,516,124,830,112,279,174,652,180,698,390,477,696,058,789,
981,976,935,581,408,527,924,334,335,967,552,127,121,141,721,586,739,884,486,
019,761,702,401,326,612,593,147,592,545,343,182,311,266,736,831,091,305,838,
096,577,919,619,515,047,156,042,780,294,701,765,533,714,376,398,816,555,200,
164,971,368,446,635,064,085,141,591,467,911,384,375,144,349,225,422,517,522,
133,541,297,582,389,781,697,393,863,712,985,594,496,672,798,299,721,497,014,
763,253,875,025,469,981,522,342,302,052,763,554,804,269,717,293,611,651,222,
086,177,151,184,178,647,208,264,248,039,781,371,868,874,797,774,661,261,217,
843,851,761,493,769,310,171,655,520,703,734,861,029,475,977,053,858,916,759,
461,860,169,962,757,790,272,733,150,993,870,254,916,546,064,420,541,253,508,
141,801,380,670,905,230,787,786,241,898,375,241,826,619,288,554,030,135,482,
694,603,731,712,206,245,222,809,887,840,064,591,382,636,317,177,692,268,915,
407,034,949,956,565,640,798,276,551,275,278,727,589,076,245,204,991,554,546,
354,966,867,640,343,491,444,789,351,268,173,262,651,176,350,486,490,365,019,
940,388,239,802,993,809,725,201,425,486,549,502,680,764,570,839,177,488,005,
965,316,303,369,707,381,136,311,848,861,165,312,628,842,967,565,667,825,450,
371,033,865,370,581,753,924,186,459,025,269,594,270,459,310,577,286,076,595,
347,759,347,882,565,345,019,946,624,234,736,029,735,756,033,202,178,251,872,
560,340,004,774,290,854,885,124,510,538,257,099,504,181,737,860,683,876,317,
754,142,044,078,034,719,978,578,631,807,365,560,236,223,170,832,054,339,779,
829,031,420,431,763,502,546,023,118,952,785,454,431,888,837,024,397,753,149,
134,156,805,128,118,348,617,583,811,917,383,759,068,757,745,721,536,087,963,
509,776,951,733,177,085,389,347,489,927,304,196,116,682,002,882,065,898,302,
733,036,365,796,263,477,951,645,554,974,946,058,362,814,415,631,968,303,961,
868,594,550,230,350,575,949,428,077,179,418,927,751,456,593,752,378,089,745,
063,453,035,355,041,548,060,492,495,037,017,925,860,651,855,982,559,174,591,
127,713,359,783,049,211,639,987,490,158,635,627,074,399,050,307,357,799,829,
733,106,515,028,829,007,154,839,114,457,265,101,848,095,092,734,325,229,116,
540,837,797,931,693,957,020,288,230,880,007,960,620,675,933,085,122,616,227,
750,281,104,384,712,857,079,855,339,835,504,053,927,756,850,849,192,098,944,
926,169,269,423,938,625,286,870,060,684,732,159,334,897,771,041,421,219,923,
397,740,089,415,301,299,455,495,840,423,693,359,602,835,090,661,564,257,003,
457,956,164,532,961,747,555,389,457,536,943,237,341,845,554,274,785,471,710,
421,813,834,781,991,831,788,337,994,848,932,609,935,022,531,759,236,644,030,
067,381,752,471,607,452,890,773,442,313,203,641,338,927,749,050,613,074,524,
709,666,058,900,051,904,082,558,870,368,187,177,220,413,986,658,354,313,247,
849,096,104,365,322,281,356,690,914,968,564,591,311,306,232,081,346,650,572,
221,478,707,370,727,338,472,654,465,378,808,718,742,991,505,137,440,494,752,
855,739,503,124,201,221,254,120,019,323,822,145,010,712,494,812,921,822,840,
784,188,607,354,746,727,324,984,979,389,519,662,518,287,867,007,687,487,558,
060,907,595,723,715,891,358,777,466,413,981,027,839,329,596,324,222,154,077,
116,089,328,308,472,778,919,335,801,006,032,116,976,368,488,498,757,548,642,
165,741,958,019,762,916,473,914,968,414,852,562,167,973,958,069,693,518,073,
104,568,670,261,048,780,236,767,922,543,524,055,464,707,451,930,303,383,860,
248,544,458,808,557,862,969,831,228,862,196,380,907,969,301,735,705,919,173,
183,397,411,934,968,588,988,162,148,886,576,130,635,952,684,878,289,079,487,
714,160,618,898,723,129,511,141,137,864,392,982,758,522,227,362,768,210,021,
236,902,534,633,031,265,685,200,409,187,197,317,764,291,357,934,906,590,078,
458,191,880,740,620,672,871,768,930,227,669,608,219,388,467,010,652,467,679,
119,138,579,108,612,293,746,966,033,604,945,854,552,613,725,958,431,421,184,
695,981,851,537,263,884,662,401,269,025,797,095,331,971,117,564,148,706,734,
175,674,794,554,732,604,522,612,940,224,214,912,081,329,174,836,144,280,984,
232,047,142,585,424,985,486,085,725,628,394,826,987,273,346,740,007,274,624,
942,839,405,743,673,532,596,283,377,151,870,270,299,265,662,945,209,711,296,
259,374,135,251,438,534,952,743,556,293,230,794,258,056,526,415,298,772,094,
478,660,142,915,201,162,054,967,778,032,022,062,749,590,173,198,016,654,371,
132,144,066,677,570,618,339,264,941,790,261,506,859,296,090,867,342,258,198,
545,825,547,638,577,468,037,374,216,344,478,082,228,950,257,041,249,744,943,
131,719,171,840,287,819,975,520,275,005,553,473,029,839,154,425,697,070,786,
950,781,046,696,234,271,406,882,668,274,080,675,380,701,635,671,092,817,324,
263,022,206,872,442,058,086,297,772,622,833,722,037,401,878,807,106,391,251,
168,134,100,207,773,919,056,222,893,455,996,227,012,580,604,367,908,608,246,
875,546,661,363,427,224,382,275,048,507,489,384,158,451,724,082,806,851,170,
267,186,827,590,685,357,288,818,567,727,711,996,230,578,936,892,756,253,487,
611,188,068,091,551,760,172,781,180,772,232,184,728,747,537,886,754,412,942,
132,546,256,775,573,395,045,642,490,008,484,626,373,259,272,730,683,708,638,
231,792,047,054,498,563,776,818,505,675,613,248,672,623,271,821,878,286,454,
605,756,731,946,360,969,839,911,526,738,530,508,575,341,759,777,944,467,708,
256,511,247,653,279,614,290,421,441,153,555,588,244,231,248,092,594,610,025,
294,688,178,153,216,227,141,174,841,803,425,487,528,307,853,672,562,039,093,
001,755,684,633,965,053,723,725,845,079,433,925,873,056,727,523,725,595,470,
586,935,942,900,487,911,729,096,502,981,910,294,835,185,532,302,335,045,181,
220,116,613,808,333,315,131,510,710,407,923,824,014,296,240,909,764,941,420,
649,354,946,961,070,224,443,250,707,276,384,398,138,988,656,662,963,072,849,
836,380,042,409,230,305,648,192,615,825,461,648,988,737,713,678,446,417,783,
816,146,929,720,233,306,888,348,213,452,113,510,589,400,414,674,533,541,529,
536,336,004,514,042,650,766,692,150,740,702,152,587,557,617,682,039,727,043,
771,597,673,013,175,644,194,939,154,639,509,711,635,703,924,893,496,947,225,
197,673,733,064,119,466,675,059,195,627,162,041,179,996,097,843,822,082,693,
192,284,941,194,184,189,546,947,626,309,539,144,990,155,803,732,054,468,927,
028,539,263,692,065,806,695,722,894,209,967,743,738,174,718,026,880,631,057,
056,165,240,571,748,817,695,662,784,988,091,947,363,671,756,051,602,056,702,
364,465,001,264,431,712,856,615,246,381,139,040,910,723,601,855,986,592,124,
147,159,502,152,183,376,598,645,664,700,460,191,981,166,805,675,989,185,414,
744,366,330,256,130,289,699,679,050,130,586,494,149,698,208,820,131,978,168,
924,497,226,536,109,219,382,648,926,453,216,667,530,684,458,127,159,439,622,
941,633,631,564,080,345,409,605,311,903,871,276,380,161,853,705,655,715,161,
754,567,114,322,162,268,827,006,015,715,233,843,698,525,327,375,765,274,934,
786,211,697,818,195,879,851,330,589,258,792,255,071,577,939,204,709,824,309,
736,089,458,098,526,427,057,780,875,049,604,577,083,614,588,041,744,386,907,
555,296,703,472,179,466,163,193,787,189,190,211,375,039,404,861,317,014,635,
466,725,657,652,700,726,509,395,967,292,027,751,137,701,883,870,462,043,534,
117,307,141,115,055,424,685,488,994,890,010,193,284,341,974,259,569,162,924,
238,744,557,792,525,164,789,414,758,254,063,718,577,710,806,928,655,219,240,
479,165,347,933,477,826,510,316,130,038,614,170,568,838,512,828,075,020,598,
398,382,750,866,002,391,009,748,286,727,115,220,159,618,941,202,634,047,256,
738,745,996,313,199,926,381,708,324,946,201,125,419,117,316,417,940,794,383,
706,887,350,040,890,200,165,360,195,976,433,955,503,309,057,214,623,607,491,
390,038,649,075,981,571,559,350,052,035,378,292,150,149,364,914,671,118,776,
357,262,963,562,328,406,536,257,159,660,606,071,716,528,728,010,469,794,286,
210,366,949,282,790,965,774,835,851,684,543,877,525,033,101,938,954,261,424,
415,899,451,535,469,992,347,060,268,019,364,335,860,185,920,801,639,429,115,
175,942,361,750,624,620,238,854,128,243,767,683,467,573,173,443,992,874,362,
144,387,421,288,590,862,288,476,859,116,611,209,635,354,272,274,419,950,631,
507,193,883,032,719,313,262,950,547,005,393,851,468,728,775,817,329,640,730,
388,266,878,605,608,779,224,277,193,841,034,669,296,152,008,761,762,874,111,
934,904,788,684,013,959,411,528,554,703,586,099,132,522,539,854,452,381,670,
026,011,265,767,858,183,710,905,723,255,261,468,437,884,583,093,407,095,741,
216,177,463,746,083,432,120,728,507,445,233,403,267,539,337,433,925,308,975,
400,642,424,392,676,731,806,683,897,897,347,202,428,672,705,703,938,017,196,
047,584,832,703,405,307,568,038,696,341,561,729,006,656,456,305,429,795,867,
812,858,405,417,380,284,030,095,931,675,533,492,162,446,107,984,130,119,649,
903,196,424,928,286,287,511,662,914,373,633,089,890,136,438,686,008,695,987,
662,279,250,992,150,675,181,906,439,175,916,307,267,816,909,149,855,799,178,
272,207,779,048,854,759,760,158,807,300,323,653,164,281,522,496,950,182,484,
803,223,346,957,377,027,383,742,263,220,145,594,308,232,772,081,805,031,689,
188,606,707,856,876,271,642,176,101,616,441,963,852,595,181,556,076,067,683,
947,354,467,277,541,131,173,835,163,091,121,501,031,106,129,421,172,615,727,
985,556,739,826,471,602,214,834,181,203,967,829,576,719,192,924,272,996,136,
881,556,652,180,657,303,547,563,892,913,258,225,560,157,703,927,100,294,996,
577,646,187,977,883,707,018,012,977,613,875,647,146,356,083,942,387,076,935,
855,100,607,804,702,433,259,674,091,975,550,872,275,579,219,408,416,434,945,
922,579,866,255,501,071,615,643,032,213,920,740,178,560,851,396,504,643,644,
516,119,334,982,210,205,787,138,002,428,323,743,153,507,376,144,794,245,538,
162,286,755,815,455,022,458,347,415,865,677,421,920,315,446,903,458,030,014,
058,983,386,971,278,526,181,047,776,403,899,130,009,855,405,836,031,430,413,
268,436,647,353,594,292,095,528,312,483,676,660,078,166,149,563,663,357,637,
524,572,614,390,904,895,074,073,448,000,849,365,490,450,381,846,844,532,424,
775,538,380,177,473,745,848,601,772,380,573,045,042,924,120,310,529,637,772,
535,817,669,726,751,579,103,651,508,665,818,749,453,477,147,399,821,118,316,
664,102,890,297,083,893,698,803,422,520,710,029,260,281,487,388,726,905,406,
701,919,162,518,817,711,967,048,945,388,173,410,964,782,463,904,018,378,065,
295,009,423,129,661,710,125,228,401,953,573,463,738,869,050,240,896,341,597,
806,047,150,461,474,018,528,510,919,834,985,779,476,290,074,597,211,078,489,
073,387,076,442,127,273,244,332,938,521,848,634,005,787,324,125,930,670,203,
753,533,511,946,650,696,262,600,703,056,995,951,159,901,969,585,552,019,818,
858,355,390,961,829,418,812,107,271,488,754,021,487,628,199,449,232,269,367,
299,029,684,610,569,398,682,075,022,328,790,812,332,168,422,245,111,224,052,
121,164,892,580,299,166,561,341,732,849,508,845,866,692,005,638,051,139,312,
107,572,835,064,287,440,142,729,836,056,539,148,383,159,954,606,566,451,937,
178,733,404,941,845,942,021,775,028,172,754,045,185,825,929,311,676,704,135,
517,854,651,509,257,694,802,421,801,262,472,776,126,045,915,900,723,077,903,
218,899,852,492,631,808,475,160,357,416,579,389,035,535,884,479,369,699,879,
573,159,213,710,254,600,112,315,867,260,067,587,334,079,921,069,835,284,076,
261,882,412,558,685,705,789,818,038,456,539,500,815,610,306,735,690,946,563,
982,884,755,612,196,658,616,605,509,094,786,006,494,679,945,166,796,053,441,
253,336,993,646,025,502,390,346,501,219,964,916,489,658,833,524,636,019,549,
486,416,589,471,804,922,140,158,527,285,064,802,529,511,608,607,191,497,308,
131,136,744,995,245,579,853,513,649,537,115,655,288,023,273,693,039,801,514,
118,374,155,405,841,017,507,582,656,341,971,742,104,276,932,399,502,496,410,
764,681,677,270,300,081,267,446,673,815,138,575,412,222,866,160,213,995,779,
597,094,760,403,904,767,643,107,343,956,182,107,611,997,454,698,757,810,667,
707,969,636,739,862,824,894,449,202,479,213,067,267,290,461,664,604,754,294,
831,842,422,477,499,683,695,203,406,938,329,275,153,142,805,620,404,761,888,
097,446,838,428,964,662,036,991,888,474,301,792,136,656,584,917,980,683,246,
280,863,287,891,621,692,570,014,104,979,496,353,284,823,137,084,652,344,811,
450,095,566,061,553,138,101,806,501,399,148,210,313,161,972,177,150,307,042,
529,278,059,758,619,203,247,986,062,663,647,756,978,591,489,463,472,393,835,
126,249,644,664,662,067,798,852,932,983,400,693,621,828,479,859,650,662,118,
575,377,595,346,794,167,878,613,038,883,628,534,916,550,793,957,717,008,226,
735,801,493,030,324,338,525,896,179,202,950,123,080,472,327,502,488,115,260,
057,436,346,837,842,185,633,014,155,500,575,085,578,067,936,173,855,726,198,
459,001,210,307,291,951,822,810,294,732,225,398,229,578,573,566,525,927,877,
988,127,872,442,619,799,164,816,767,180,969,819,981,262,576,748,363,354,255,
930,219,943,219,554,316,825,866,938,852,476,518,047,316,291,925,361,719,758,
764,560,258,251,733,945,840,963,806,635,050,351,858,739,525,502,870,371,951,
914,756,286,387,895,125,653,952,725,874,585,527,041,183,964,008,709,106,434,
395,352,945,381,978,089,806,178,282,920,756,970,314,026,433,557,902,736,572,
794,081,382,275,633,981,204,828,530,281,174,893,691,779,639,139,271,028,695,
044,765,482,822,853,622,578,870,955,438,219,729,100,236,166,312,786,384,259,
405,624,934,453,119,862,128,398,489,141,817,103,877,656,516,083,365,153,268,
016,616,005,637,985,403,973,869,111,189,547,329,836,021,839,427,132,669,730,
870,184,952,636,876,018,352,623,652,716,556,350,388,975,780,129,439,598,641,
726,703,234,427,976,982,310,081,641,131,658,777,081,809,503,916,563,854,866,
424,385,428,039,808,683,784,785,059,298,899,123,757,815,584,633,107,024,829,
602,871,960,174,627,999,953,413,233,496,086,709,367,498,735,754,984,817,041,
536,101,599,963,858,779,607,469,563,223,583,602,771,857,337,509,669,216,038,
277,311,536,413,207,783,452,729,652,578,873,409,857,868,348,141,424,147,302,
700,350,982,143,384,870,509,592,967,574,451,577,813,114,830,341,213,986,759,
866,412,288,298,640,842,908,611,826,578,645,408,317,454,302,837,765,774,959,
442,600,214,785,600,287,963,807,696,202,508,752,310,640,499,487,610,433,712,
871,889,861,887,893,225,953,778,460,743,716,862,592,319,149,196,388,537,375,
305,359,416,574,943,039,660,816,963,266,477,219,502,502,543,228,597,671,649,
137,936,224,427,628,107,903,965,341,121,825,013,524,978,586,062,926,328,899,
064,298,276,741,076,226,406,199,360,654,413,179,998,414,456,017,695,402,280,
844,202,667,208,395,571,356,218,791,197,133,386,078,288,448,123,630,812,857,
767,989,830,572,098,749,409,700,241,802,710,408,327,240,056,081,694,605,382,
413,350,757,007,567,168,329,300,335,641,692,735,784,836,992,231,148,309,892,
860,285,377,394,624,128,397,487,212,625,596,085,020,302,415,438,233,339,684,
438,113,653,202,243,228,412,493,190,689,174,040,318,448,616,332,789,370,969,
605,144,445,969,706,924,622,714,300,581,605,982,272,479,907,379,542,522,744,
936,627,411,232,376,537,822,197,097,848,522,521,811,731,468,050,758,215,511,
247,375,183,797,366,562,565,100,673,717,578,317,604,854,170,365,076,070,717,
122,638,102,504,304,147,950,319,602,924,238,755,436,512,766,613,254,534,549,
497,754,090,383,468,306,747,735,484,902,974,427,452,178,168,901,197,701,798,
240,259,819,772,268,576,104,896,317,116,820,303,154,463,361,362,799,003,592,
927,710,601,621,771,335,464,833,535,545,101,677,416,263,603,394,811,526,134,
363,339,892,117,308,049,642,744,743,074,965,174,462,565,555,391,341,361,365,
850,433,391,197,745,708,986,382,080,382,155,866,455,230,652,600,805,338,580,
529,665,682,883,739,082,202,532,403,678,534,334,227,138,736,964,947,571,906,
328,834,212,862,196,493,949,340,849,280,047,128,980,487,432,467,136,236,305,
503,483,945,952,331,014,128,136,316,866,710,444,816,572,116,331,473,354,262,
544,185,737,528,757,486,488,562,077,324,173,153,078,756,447,745,145,575,086,
539,582,311,068,579,931,706,096,711,113,354,012,868,320,303,555,688,196,153,
060,422,538,680,709,333,934,737,828,133,939,044,084,137,001,100,051,182,413,
245,550,713,762,301,002,064,547,333,154,068,525,256,127,260,555,608,440,621,
415,875,112,855,750,861,331,664,802,786,879,263,014,854,274,395,617,116,629,
417,291,213,109,219,909,819,190,858,737,621,880,290,786,920,170,217,563,595,
870,067,829,888,852,284,969,678,671,190,125,533,980,450,314,734,427,483,314,
792,522,390,044,333,393,088,044,906,792,167,600,645,947,611,002,507,524,020,
970,945,936,682,651,427,980,932,986,678,444,317,010,764,057,808,519,062,368,
215,125,461,747,228,277,263,507,184,755,535,278,215,704,576,725,665,766,532,
994,029,663,910,534,451,683,571,106,754,329,461,955,779,739,011,675,787,902,
779,036,969,952,187,600,955,848,364,417,431,532,675,429,334,816,252,105,184,
073,903,101,847,815,139,429,828,709,795,426,376,484,325,549,673,705,826,139,
623,346,934,804,637,437,867,265,371,981,072,716,989,672,629,687,664,057,845,
649,940,519,456,745,872,335,627,497,491,176,192,199,401,727,267,842,563,608,
091,898,718,757,880,921,816,368,069,497,038,755,074,700,348,588,510,400,424,
564,415,402,678,181,078,312,887,352,998,857,772,916,030,190,665,394,968,577,
031,472,971,338,885,116,084,818,977,470,136,915,800,300,144,367,420,776,392,
937,958,344,388,792,785,026,251,785,309,192,824,289,063,849,105,745,983,953,
731,605,367,097,088,570,417,431,010,972,787,721,340,021,511,082,864,032,138,
763,876,038,649,982,245,735,396,630,587,424,583,532,044,775,838,602,819,298,
089,752,430,716,402,269,877,945,155,014,258,589,611,421,574,009,916,206,597,
578,886,603,512,008,988,736,025,877,740,940,179,941,060,808,393,171,584,540,
596,887,742,308,771,375,730,541,475,378,500,602,016,668,426,172,961,857,521,
790,029,164,911,175,263,442,752,825,112,770,141,345,413,480,989,503,694,965,
465,669,157,068,669,769,985,560,839,922,521,935,038,962,319,813,105,413,259,
766,636,419,381,044,210,664,013,788,973,134,160,891,466,550,604,563,018,817,
307,357,422,870,847,685,801,105,127,951,965,047,970,144,175,683,834,765,317,
434,881,074,325,795,103,118,600,512,186,370,192,714,717,736,559,541,512,514,
186,094,196,055,587,441,898,533,931,600,535,990,937,163,307,434,304,213,801,
863,001,627,185,638,851,202,100,083,937,537,543,273,644,818,490,234,656,186,
510,282,262,459,522,897,896,125,062,755,999,028,410,982,578,715,848,377,301,
448,390,135,197,399,443,523,056,144,270,052,222,780,593,671,122,169,569,219,
677,360,232,749,594,418,377,083,768,145,739,212,650,068,622,251,119,425,177,
218,533,985,402,121,958,661,218,209,043,107,036,380,962,968,628,966,324,894,
581,240,194,254,847,984,247,797,961,484,723,339,921,588,454,087,892,547,530,
477,152,023,259,793,792,254,771,694,711,525,725,156,687,211,300,236,922,964,
711,894,100,211,875,296,491,001,625,990,016,772,670,126,576,832,727,530,255,
699,285,454,826,799,708,215,956,811,176,774,261,583,314,442,734,768,363,314,
374,082,540,802,395,434,494,711,834,472,458,144,047,514,092,795,067,368,724,
171,982,718,267,228,124,591,391,577,620,192,193,282,147,987,178,497,189,691,
349,435,332,950,870,590,089,863,517,139,091,266,725,187,393,671,489,045,494,
194,836,197,556,889,582,560,637,885,652,585,940,106,110,203,808,777,194,140,
346,487,296,745,382,270,761,618,775,535,524,585,542,916,039,229,957,505,674,
612,094,870,841,728,948,924,922,347,567,610,478,614,582,667,821,136,442,394,
207,368,337,604,222,562,212,077,562,668,543,498,741,865,183,671,195,845,857,
934,956,177,708,014,881,499,676,031,963,652,574,227,128,783,338,683,951,689,
343,804,737,097,487,489,130,208,648,510,766,372,195,361,198,886,563,874,742,
523,209,386,820,711,221,676,332,280,495,281,981,124,885,403,154,780,499,683,
651,555,230,974,183,031,197,056,337,790,776,952,716,973,900,805,562,243,727,
106,217,504,286,213,867,831,918,289,245,619,548,014,833,611,638,135,872,924,
771,740,128,151,205,758,996,003,961,195,380,060,224,484,704,485,306,756,539,
989,070,707,080,574,606,994,063,624,244,845,275,663,423,295,565,410,799,875,
920,794,203,528,155,669,406,882,518,425,378,404,337,838,817,927,753,336,955,
716,759,151,554,645,839,757,125,977,938,131,266,047,894,843,680,532,776,406,
369,327,846,190,264,664,497,883,680,324,336,355,187,279,591,472,374,095,322,
426,808,431,968,981,586,679,393,163,227,741,936,008,917,005,286,042,896,974,
603,011,558,328,943,736,495,783,187,025,189,731,523,027,344,945,124,594,311,
343,963,671,575,156,648,969,478,644,146,967,923,448,865,623,055,516,506,507,
590,040,883,318,186,591,827,000,262,486,262,309,613,274,993,447,922,958,503,
637,716,410,729,160,542,506,394,849,495,742,493,674,052,837,576,537,747,283,
411,958,430,855,205,752,930,434,231,271,801,566,365,345,877,134,948,617,531,
951,311,033,896,957,903,838,532,366,382,229,239,340,658,076,792,322,748,400,
855,438,205,393,513,395,656,768,057,091,335,045,194,053,092,126,481,824,337,
857,706,420,278,917,648,377,350,435,433,118,556,708,015,925,601,320,155,214,
547,003,604,160,594,562,159,296,847,889,303,109,092,045,165,929,467,374,965,
382,040,031,265,352,553,996,474,093,829,973,618,386,316,609,572,296,016,013,
866,234,873,144,918,830,834,730,381,545,803,886,936,094,193,317,337,752,652,
822,584,407,534,302,462,399,837,590,307,210,489,587,815,880,838,704,695,256,
815,844,614,979,852,333,452,330,431,698,095,141,816,608,871,787,100,223,015,
916,684,358,953,369,791,925,988,707,513,480,572,382,847,362,712,183,622,188,
816,906,351,369,048,369,461,805,413,468,064,717,852,375,059,878,145,802,200,
523,280,699,085,708,120,894,571,265,563,702,361,524,416,908,678,133,019,506,
053,378,055,413,422,413,600,666,236,747,166,897,618,319,655,732,478,288,321,
197,123,064,290,843,244,817,530,611,402,618,017,956,485,661,367,501,545,239,
998,166,714,787,513,339,771,807,280,455,619,071,491,988,772,295,058,144,695,
107,479,676,825,304,358,356,657,417,080,169,833,712,085,650,877,302,475,300,
409,210,008,870,842,839,710,610,886,787,018,892,539,555,382,066,858,063,326,
234,276,236,932,520,470,810,886,236,944,201,958,391,529,848,911,031,603,322,
460,443,837,067,031,223,897,555,364,513,884,193,356,473,694,431,958,777,831,
569,473,089,843,238,821,170,495,756,648,262,598,327,581,780,130,290,525,907,
823,341,968,827,973,941,878,388,806,446,957,502,270,161,514,833,388,340,129,
866,985,649,481,667,229,953,327,179,855,119,712,722,432,245,555,243,044,722,
270,527,275,136,522,369,971,261,317,493,586,473,628,905,998,215,204,817,535,
749,230,905,062,332,705,892,756,702,934,826,354,026,942,375,331,808,628,887,
015,070,297,713,867,638,492,859,230,383,144,114,058,281,484,608,873,851,474,
061,755,508,846,858,603,830,501,955,357,643,512,085,305,418,320,220,010,788,
903,915,731,221,512,725,430,389,493,533,026,069,329,664,602,586,395,662,542,
448,458,055,866,703,494,959,677,614,406,549,889,731,727,739,650,441,991,617,
612,880,700,717,634,463,882,195,636,181,797,002,119,252,387,730,503,409,816,
693,361,834,401,272,983,731,131,781,049,244,611,889,917,853,244,210,109,603,
484,908,113,286,954,850,070,847,051,253,490,110,586,577,726,949,629,422,419,
174,205,767,117,906,941,352,227,885,793,884,269,342,008,064,964,292,360,657,
236,310,443,099,325,675,403,288,835,801,209,295,870,516,762,472,354,327,881,
925,084,526,425,652,555,044,219,394,724,866,375,346,228,357,102,309,506,029,
534,667,839,562,384,433,605,585,034,751,933,484,656,114,125,596,263,896,046,
125,985,602,881,862,884,487,841,104,522,323,134,567,517,018,982,445,866,518,
224,338,163,140,595,351,506,356,317,724,723,794,796,284,299,235,622,552,648,
937,954,634,462,974,041,363,255,914,568,011,933,533,375,011,349,306,177,643,
132,848,970,956,591,750,738,446,114,198,984,425,029,161,615,238,052,759,867,
279,367,217,961,185,683,192,683,845,802,874,001,244,061,037,717,178,362,030,
843,302,283,783,844,740,790,154,461,523,135,790,519,579,381,947,377,166,194,
180,987,155,352,644,267,724,543,294,816,908,777,575,344,002,096,253,782,262,
522,789,218,033,149,620,809,905,008,644,325,569,553,575,793,542,184,936,412,
559,917,546,277,979,795,826,785,216,561,222,202,850,088,658,315,311,226,752,
696,388,856,794,410,301,264,795,363,037,052,975,376,284,451,770,961,553,754,
976,655,249,641,070,552,784,411,905,468,712,609,964,381,263,180,449,013,788,
472,131,790,326,442,512,785,595,056,120,367,817,599,339,349,069,382,070,797,
677,843,342,690,104,122,661,254,732,894,597,632,881,407,155,477,115,485,753,
116,061,475,247,012,919,466,451,397,141,935,273,866,784,739,532,442,181,287,
405,738,430,886,059,447,939,290,713,402,103,036,602,634,608,000,217,845,968,
064,477,024,747,779,366,418,724,426,451,557,472,433,709,678,871,125,691,183,
036,895,009,331,521,140,541,284,595,122,455,273,235,896,159,004,687,194,452,
265,168,002,131,309,213,116,225,958,670,137,249,702,173,981,613,143,859,398,
006,126,541,863,631,482,487,309,403,245,750,691,047,334,047,055,272,785,625,
845,087,711,634,904,744,045,742,880,495,370,746,308,853,549,242,812,781,363,
389,015,628,235,415,670,736,587,819,090,134,899,678,071,826,786,267,144,254,
432,443,629,053,264,467,433,144,926,707,090,525,029,262,599,988,187,420,374,
781,147,127,210,785,633,217,591,484,331,494,557,244,090,921,987,390,862,014,
710,145,726,815,876,510,761,654,640,556,857,352,313,031,043,899,974,705,090,
217,029,072,140,772,425,829,134,703,796,863,143,463,536,408,876,454,117,373,
547,629,227,151,228,055,592,077,419,625,045,745,221,045,283,712,632,137,441,
918,030,410,950,032,286,415,083,047,118,536,422,224,796,842,397,147,799,189,
331,463,095,568,667,028,525,575,211,902,173,842,793,461,014,154,591,163,787,
882,949,352,617,423,185,793,062,289,933,979,722,477,693,447,414,341,012,715,
236,939,824,909,119,386,477,259,193,257,831,320,322,919,390,143,620,671,511,
618,665,491,174,810,288,528,362,208,294,923,171,332,432,335,075,463,483,494,
713,962,786,723,453,408,464,276,636,619,181,234,379,751,943,982,489,441,344,
919,735,419,634,327,570,166,217,637,163,084,426,243,506,914,506,928,501,405,
568,679,275,305,253,415,141,548,194,052,865,997,151,788,496,664,649,504,400,
985,175,203,497,438,448,011,893,555,595,437,444,174,661,817,595,528,086,479,
250,948,729,652,927,897,580,319,173,261,471,652,867,907,835,565,239,515,891,
671,199,701,294,120,619,831,153,581,347,923,944,913,932,011,114,540,195,414,
109,717,718,359,100,305,789,465,886,445,465,431,251,272,475,734,375,356,744,
292,364,330,141,428,883,170,895,884,588,653,869,031,019,135,650,724,330,593,
487,693,242,430,792,889,475,836,886,937,296,311,305,727,907,249,824,941,137,
272,331,615,008,706,339,586,307,125,269,437,567,975,459,035,913,374,466,898,
697,334,105,809,787,102,098,762,966,522,875,228,187,582,707,025,565,130,410,
922,156,040,394,062,844,213,592,035,776,384,717,524,890,488,143,544,242,720,
397,465,138,358,522,707,162,445,926,320,071,664,372,458,027,048,700,092,678,
658,685,391,325,970,240,354,300,284,949,788,242,633,224,128,330,383,266,302,
419,302,882,872,181,484,488,526,572,037,076,949,347,420,004,230,452,302,055,
424,664,597,594,089,130,498,618,578,825,986,012,145,360,186,823,381,760,450,
886,387,004,329,792,650,900,910,525,305,545,609,872,800,775,239,069,639,670,
878,124,069,227,064,877,139,834,917,795,606,414,709,644,267,761,392,770,822,
487,396,108,664,673,222,740,366,791,432,108,996,427,447,302,377,278,468,589,
809,585,135,766,499,954,379,985,696,709,578,907,648,306,043,776,433,957,460,
178,449,417,879,586,798,171,484,719,475,776,432,361,639,861,501,174,412,537,
002,471,750,474,486,025,976,198,743,751,112,714,679,174,458,424,641,325,216,
066,736,737,046,609,397,126,012,428,071,804,793,633,682,600,913,091,955,621,
286,268,205,854,162,057,410,240,074,225,366,536,495,305,580,099,345,689,225,
020,261,411,390,307,378,808,690,863,849,807,264,077,118,523,056,211,987,590,
086,342,381,092,137,233,565,634,997,445,202,691,964,490,353,412,926,362,872,
070,360,821,027,319,153,415,378,160,719,263,147,240,328,152,150,875,737,260,
702,099,402,046,238,930,616,794,901,731,052,852,951,904,781,643,886,102,722,
127,286,162,066,007,127,662,110,011,114,185,914,940,484,133,433,979,335,885,
627,626,094,834,999,095,748,502,147,852,780,433,474,584,704,733,206,605,850,
215,944,692,739,241,817,286,081,462,308,253,670,361,037,842,844,199,707,161,
278,578,616,149,796,337,221,554,388,023,109,665,675,777,728,455,305,129,940,
152,243,360,220,147,278,496,526,119,427,543,950,727,687,935,315,324,165,921,
174,416,019,188,724,354,123,811,955,385,502,583,736,089,801,732,803,050,520,
199,345,709,417,804,653,303,519,627,248,713,562,417,702,469,985,882,887,112,
881,139,866,459,538,920,825,733,969,655,855,118,392,813,316,456,105,717,746,
342,995,871,015,572,691,105,767,038,230,518,943,303,087,861,763,650,533,463,
619,286,693,041,172,158,780,914,069,989,685,182,143,349,099,486,422,526,265,
621,074,137,929,561,439,662,854,872,117,739,790,732,766,207,487,273,862,251,
173,895,216,484,495,936,697,636,772,822,567,100,082,153,570,051,807,938,580,
081,778,485,771,101,873,526,628,287,105,431,570,736,389,749,797,069,564,022,
918,120,417,335,199,172,288,327,362,050,373,979,269,246,343,187,018,987,540,
562,893,937,421,645,465,923,642,713,007,268,470,821,946,893,594,674,216,499,
552,151,360,980,429,485,498,930,743,364,208,823,969,227,450,863,408,469,635,
020,810,055,985,915,887,355,477,150,107,105,350,450,062,582,038,743,742,657,
591,570,909,447,264,571,787,769,189,788,351,029,641,574,911,460,094,624,675,
656,640,338,106,631,975,807,473,322,238,447,428,849,221,159,799,708,764,751,
602,368,885,851,407,127,725,357,629,890,567,127,095,486,959,478,274,278,366,
521,397,139,208,749,475,205,721,380,510,798,831,891,784,497,903,278,397,066,
038,077,023,798,394,017,486,127,858,388,826,609,956,000,414,981,592,266,870,
358,435,455,443,465,709,111,204,662,117,716,938,561,357,785,571,788,772,217,
690,242,223,740,264,253,288,062,064,090,080,612,187,800,606,187,138,270,162,
960,442,041,836,185,208,827,900,655,896,022,777,951,977,014,353,085,166,887,
168,385,302,431,224,624,012,949,583,517,066,201,746,723,510,770,405,583,167,
689,810,490,359,485,607,713,196,445,180,740,691,095,668,624,888,755,759,310,
600,836,638,157,341,190,829,105,302,696,753,182,684,941,465,197,425,500,534,
611,823,355,029,907,723,917,952,186,989,593,048,518,806,078,391,037,731,152,
624,984,886,657,763,414,048,048,056,466,294,902,751,197,538,040,616,928,620,
795,606,901,792,983,035,805,239,055,702,021,851,288,529,019,508,983,922,016,
896,732,624,439,741,253,026,620,142,741,383,792,357,768,041,852,565,152,582,
576,180,907,791,046,036,869,304,871,447,123,704,903,020,547,556,996,745,137,
257,380,164,583,744,252,798,233,928,092,580,711,083,498,515,869,118,187,654,
313,916,446,123,339,526,627,900,814,202,290,578,013,585,084,140,638,775,951,
941,328,427,740,260,149,847,439,997,961,994,743,550,097,532,008,825,591,847,
729,694,269,126,911,804,997,064,212,765,449,879,070,166,963,647,186,721,910,
125,172,772,156,911,538,369,228,160,924,389,550,956,657,536,192,749,827,673,
049,077,645,573,450,092,170,895,197,668,612,550,556,709,776,649,672,665,323,
249,640,928,313,565,908,254,548,530,411,390,213,812,616,580,408,465,491,277,
342,622,908,297,348,413,394,874,132,063,520,479,585,264,454,141,572,080,659,
243,025,731,139,948,291,653,128,730,192,954,762,103,992,270,505,924,058,396,
106,321,422,076,606,126,168,956,653,611,069,187,617,790,629,188,321,298,322,
589,160,466,540,784,903,569,011,082,569,783,738,135,710,729,301,750,802,478,
609,175,297,905,808,814,989,244,021,036,948,142,961,956,877,193,742,745,412,
248,441,612,686,477,981,235,027,244,489,880,940,055,503,447,723,394,112,202,
419,242,858,722,785,831,105,800,644,659,849,808,292,637,956,279,709,036,422,
063,805,065,644,394,362,040,442,928,990,975,488,630,044,869,265,941,345,696,
936,506,172,986,931,214,790,425,848,432,219,785,428,867,809,313,164,993,997,
172,301,764,449,940,370,395,722,096,765,173,589,637,250,720,953,188,203,057,
410,606,542,523,720,734,059,058,616,558,069,273,640,997,227,616,213,906,094,
610,407,579,270,496,406,010,078,581,680,070,634,635,172,779,240,648,749,320,
033,615,975,113,525,204,037,456,703,102,229,519,558,713,088,607,308,985,447,
055,836,520,768,031,772,446,971,155,197,241,937,613,352,016,386,778,900,706,
339,084,707,759,607,877,446,770,048,465,968,226,800,026,305,163,202,319,706,
388,233,257,712,362,824,436,682,203,127,326,010,686,364,913,642,516,800,379,
696,927,008,726,427,456,280,100,330,100,073,214,156,499,104,972,440,504,802,
343,862,336,362,086,304,863,059,396,108,739,086,288,156,960,165,168,607,607,
275,553,606,898,086,129,715,109,589,906,494,178,035,362,554,713,341,711,675,
783,475,604,138,014,033,177,748,142,243,841,682,282,248,775,755,676,591,801,
125,124,343,687,794,554,950,438,573,711,486,694,409,723,407,096,365,247,131,
995,704,367,842,553,440,823,506,612,156,342,276,884,006,531,128,153,865,449,
408,769,003,104,690,202,280,624,028,980,087,140,264,484,682,091,594,528,829,
222,968,245,670,488,253,397,784,503,065,964,850,252,611,637,464,121,572,372,
009,794,563,107,433,765,848,871,888,020,027,026,734,351,914,016,065,032,878,
989,451,052,304,854,753,932,562,546,358,921,591,648,621,115,331,445,580,325,
047,760,545,379,464,953,793,445,353,773,331,348,276,998,527,204,855,927,329,
198,854,711,268,676,165,955,060,800,764,420,105,665,780,715,547,100,500,570,
631,632,460,103,446,569,743,806,495,139,565,832,917,954,731,662,632,403,708,
223,291,840,648,355,908,344,076,417,129,719,295,015,562,156,576,616,887,208,
656,374,475,097,661,417,639,995,127,097,995,374,931,960,385,258,804,911,073,
673,187,558,602,768,383,696,494,902,482,179,603,334,168,522,554,519,724,474,
378,275,297,890,117,396,241,780,476,302,977,684,048,146,254,198,674,834,696,
499,802,995,114,763,576,618,614,974,128,769,627,373,388,710,528,993,009,203,
967,112,086,931,358,381,197,571,677,598,809,480,417,763,263,804,591,313,320,
207,592,641,430,082,374,162,230,902,470,389,679,946,823,815,750,309,327,829,
946,335,292,494,917,119,899,204,717,536,753,226,777,142,273,387,436,237,260,
232,717,974,745,624,440,030,573,145,938,651,298,296,948,055,138,885,212,411,
700,127,007,204,326,208,439,176,311,204,990,571,037,498,084,351,226,091,245,
051,357,903,991,975,710,529,479,707,407,283,354,844,385,710,233,262,650,044,
780,136,840,273,941,591,845,319,747,111,428,905,410,484,693,477,970,944,379,
589,432,981,055,586,962,509,964,578,680,667,822,865,620,357,688,671,615,859,
507,956,369,898,994,597,972,996,459,523,836,561,441,370,976,089,833,576,365,
756,634,310,216,830,564,810,433,701,118,086,613,441,776,028,670,637,593,704,
887,543,852,461,034,315,883,513,199,189,139,426,059,269,969,705,102,692,308,
863,088,523,273,228,892,741,446,862,313,746,373,199,652,800,034,624,256,545,
187,225,630,566,684,953,622,679,083,122,793,034,864,948,247,618,717,112,542,
877,124,788,461,648,718,946,281,460,006,241,183,903,312,396,503,654,916,350,
985,899,278,698,864,584,249,883,321,055,357,597,495,972,097,028,595,735,522,
920,280,218,295,606,630,435,698,533,137,296,019,489,873,366,810,597,258,462,
578,040,790,580,620,568,377,772,782,905,715,560,953,952,816,169,842,722,066,
009,246,259,349,688,949,941,701,847,269,305,239,848,261,511,246,639,585,332,
999,419,184,724,546,384,005,070,288,885,349,453,342,948,828,578,590,173,221,
808,983,181,340,093,369,684,733,224,717,285,534,297,753,522,078,803,319,156,
784,325,465,506,256,553,258,590,686,852,610,493,931,559,415,916,544,765,317,
512,603,302,849,237,183,451,512,176,128,415,807,967,163,328,591,641,128,715,
968,510,235,312,121,905,466,949,075,493,776,877,475,422,439,039,750,845,740,
389,153,465,364,616,746,823,564,192,035,735,812,547,542,903,837,722,061,993,
462,090,848,161,485,792,152,944,853,208,278,379,395,147,559,615,484,823,468,
314,336,943,933,773,531,491,285,224,796,380,513,093,238,777,451,609,239,108,
675,553,518,438,615,970,668,680,611,708,009,160,128,259,311,388,609,714,491,
546,110,860,982,302,807,559,225,642,686,396,453,177,636,886,723,565,036,789,
559,614,742,071,521,814,412,560,792,982,275,336,171,287,335,400,154,918,730,
454,628,278,967,404,894,076,984,068,857,267,805,463,429,101,186,940,817,590,
052,509,998,121,051,882,359,706,950,865,661,189,577,503,120,973,192,879,066,
272,415,651,584,439,773,504,696,542,378,064,916,862,356,561,916,792,985,839,
999,500,797,978,365,971,395,548,859,376,833,789,158,970,676,170,900,109,040,
743,204,854,640,087,160,560,960,216,048,738,365,758,164,738,203,015,057,283,
164,932,496,722,217,955,754,918,410,489,516,340,725,110,087,649,491,434,237,
852,654,507,843,300,976,293,986,236,226,607,915,001,197,520,120,763,071,044,
730,517,292,027,670,945,537,555,773,447,092,382,564,055,511,250,725,073,416,
810,641,748,016,240,909,646,352,110,087,349,697,819,600,179,311,464,465,493,
995,777,192,493,694,988,003,463,073,557,767,235,204,629,017,145,849,004,054,
109,591,174,128,209,321,290,630,445,245,693,544,526,546,549,860,250,789,986,
171,391,796,565,665,542,287,237,801,391,486,130,128,372,155,557,240,018,127,
274,735,841,051,901,143,290,816,593,948,001,261,672,139,484,573,836,834,078,
283,117,871,922,009,610,772,019,547,376,923,906,921,543,365,511,980,486,258,
325,750,965,322,620,449,119,614,910,302,879,394,986,548,047,925,321,507,838,
064,099,492,130,930,778,425,617,353,408,967,070,302,668,785,893,982,927,766,
812,743,589,132,793,488,697,813,650,318,248,604,540,461,373,945,181,464,407,
651,787,732,278,240,627,946,576,687,327,639,140,513,753,260,854,949,005,596,
707,815,797,670,410,398,639,097,641,994,680,910,538,497,627,197,686,024,890,
515,122,190,387,943,453,281,578,642,233,432,341,764,557,093,062,685,151,921,
271,483,499,321,483,997,404,009,718,695,763,527,494,692,874,085,633,589,380,
882,965,064,853,460,593,461,601,199,113,344,371,285,930,192,168,379,403,981,
184,042,482,792,997,207,757,570,128,038,663,102,700,065,997,852,805,941,844,
652,261,704,237,437,095,789,999,755,350,067,732,453,677,862,431,837,135,804,
307,033,325,624,047,486,038,176,656,952,937,576,493,549,314,884,351,190,372,
304,931,493,147,991,271,671,028,475,167,350,442,629,718,021,045,986,783,005,
854,782,345,778,265,341,949,020,667,116,009,755,070,951,149,339,823,805,695,
879,771,176,400,685,085,192,950,549,505,319,309,084,232,154,528,258,811,552,
420,586,747,584,887,340,006,775,898,165,915,823,942,136,822,845,296,184,174,
456,531,363,226,801,256,252,562,237,913,364,698,480,867,367,603,420,208,326,
436,103,341,560,890,612,551,627,927,901,462,859,123,272,370,250,463,648,134,
172,133,143,094,174,531,962,840,378,181,185,347,954,155,385,433,954,073,303,
851,360,902,211,921,221,719,004,759,191,347,999,371,605,361,257,727,525,451,
976,238,088,398,992,175,252,349,932,990,587,694,051,258,079,157,540,875,765,
710,361,190,504,434,392,370,602,627,266,240,073,601,553,385,179,295,719,996,
076,302,395,915,868,927,415,839,312,663,433,738,626,257,820,142,214,384,286,
558,263,179,410,862,118,748,920,467,714,183,501,710,158,938,269,027,777,045,
958,365,048,712,487,213,270,953,693,907,947,967,563,047,235,135,152,044,732,
790,836,030,009,559,219,905,553,460,745,767,199,112,776,968,266,288,492,443,
308,120,220,301,827,843,911,196,438,633,085,665,989,858,349,131,665,077,992,
518,961,581,914,264,779,477,136,112,248,041,551,632,504,036,773,429,293,849,
803,487,794,366,069,499,153,050,114,080,823,306,988,410,137,384,825,905,105,
927,209,025,333,187,697,658,792,750,863,912,810,507,255,442,923,543,805,248,
932,242,512,486,480,588,185,518,936,138,627,378,172,054,426,700,765,090,802,
095,718,399,930,820,456,467,439,261,553,583,931,399,714,303,060,636,826,786,
883,133,494,056,958,117,922,874,469,519,130,324,074,584,625,269,237,629,937,
182,418,284,624,491,978,025,114,857,553,614,903,479,169,899,967,108,086,305,
561,775,590,228,879,367,743,385,416,675,463,302,378,237,096,587,215,270,057,
583,284,420,476,882,485,473,566,963,043,103,203,371,108,241,112,655,379,533,
838,607,372,000,374,509,388,278,997,620,760,127,760,195,823,655,947,490,878,
932,092,694,245,873,864,978,720,788,168,636,892,171,327,725,064,390,952,439,
182,783,629,924,370,709,667,137,821,164,115,574,240,238,339,817,397,346,706,
295,795,867,358,472,670,544,962,983,293,911,962,104,248,118,529,701,196,121,
449,452,500,251,753,843,252,697,343,907,777,253,910,202,098,027,846,022,313,
191,451,626,252,641,667,127,639,455,053,025,125,052,160,624,084,221,634,122,
268,447,343,188,673,259,217,938,078,264,763,600,148,918,106,574,755,518,346,
380,672,496,955,681,536,018,255,429,196,578,386,606,577,006,392,682,107,880,
250,894,835,905,426,080,570,682,075,763,881,899,748,581,190,095,626,247,979,
869,556,589,942,679,673,410,629,649,027,500,215,606,879,761,247,160,174,968,
591,299,691,994,168,164,654,263,950,001,819,407,752,789,591,922,220,386,469,
024,141,623,044,540,249,758,018,578,544,664,505,377,202,224,688,041,332,977,
041,799,249,601,811,218,448,156,922,632,163,525,349,260,257,471,103,937,629,
934,946,689,233,456,589,144,515,864,847,973,832,471,724,008,944,702,376,593,
196,690,871,183,299,049,090,035,029,568,075,028,539,042,317,114,040,672,719,
268,989,918,529,069,832,535,987,232,018,164,951,019,177,883,831,227,027,385,
924,502,588,115,066,510,059,982,097,893,383,450,550,197,268,690,689,180,376,
776,737,073,864,629,762,395,004,950,191,056,644,603,817,905,856,134,787,756,
051,560,140,616,466,625,873,366,395,944,410,240,810,752,204,553,390,920,474,
171,575,468,591,692,727,405,482,756,044,806,100,946,732,770,586,429,876,148,
594,373,848,092,251,189,360,152,736,440,798,410,301,671,295,212,936,701,725,
675,582,636,595,376,321,445,039,920,513,824,986,426,741,177,394,182,340,828,
675,228,259,350,128,639,507,498,032,997,781,044,862,693,387,832,243,635,004,
889,709,507,356,718,414,408,760,121,568,652,709,892,413,418,522,316,179,865,
268,966,079,884,523,526,717,252,279,091,587,297,841,934,653,732,801,656,429,
697,269,596,932,978,706,901,380,063,065,919,575,965,613,223,938,011,407,021,
659,717,780,821,171,020,466,045,596,587,390,572,783,910,847,909,065,582,960,
031,785,314,459,520,259,419,769,302,155,814,281,755,842,050,781,449,593,605,
051,646,349,695,930,956,958,155,454,726,352,186,882,632,100,073,583,828,267,
027,346,311,278,887,836,622,787,023,238,078,363,118,254,867,338,277,938,663,
899,433,521,350,082,795,186,281,669,601,742,311,069,912,947,891,487,316,371,
287,348,242,345,531,246,248,735,457,862,603,504,571,829,896,923,442,147,272,
331,632,621,924,292,886,810,450,945,593,701,725,028,962,926,705,069,837,888,
284,094,765,868,086,782,447,205,566,741,074,859,622,683,396,734,057,027,882,
403,949,885,774,465,890,309,524,120,582,670,345,321,715,567,277,270,968,460,
316,725,525,661,877,349,296,528,854,587,045,165,845,674,722,999,771,265,030,
891,552,191,091,286,581,788,926,060,208,665,186,185,246,045,075,655,673,499,
694,401,285,427,822,158,908,619,907,385,670,148,765,094,431,250,055,629,708,
805,467,613,978,564,256,805,828,600,525,660,089,415,093,471,870,770,605,128,
768,749,812,654,068,248,950,043,823,569,082,979,980,348,560,394,934,320,371,
058,174,015,752,263,934,339,865,631,936,882,679,913,574,717,663,548,098,306,
848,809,201,332,546,360,710,049,391,426,578,180,560,338,129,466,672,593,161,
242,206,646,348,866,613,729,361,929,874,854,174,051,111,762,846,284,448,864,
848,510,644,510,768,527,915,844,865,025,285,663,502,581,355,498,252,896,962,
223,449,209,188,881,201,624,201,029,976,605,689,061,435,319,413,404,480,985,
539,821,491,245,853,440,212,963,540,650,974,403,049,968,659,794,143,182,144,
690,684,575,381,021,415,225,803,879,176,801,070,783,232,574,246,525,585,754,
415,311,145,794,940,131,059,294,175,222,781,519,728,714,267,933,281,964,103,
760,143,611,993,550,180,268,935,340,840,106,670,072,271,622,326,449,366,325,
536,301,109,267,902,671,161,845,614,979,209,650,824,184,842,033,042,811,514,
584,550,578,599,412,957,618,615,321,576,407,178,608,861,530,566,460,890,043,
045,764,594,016,863,876,060,455,993,071,112,971,772,028,031,509,490,784,698,
064,225,706,101,260,010,223,702,057,305,945,297,584,410,750,773,298,900,269,
111,578,063,668,380,150,452,236,076,032,795,602,513,681,456,375,774,345,274,
757,709,904,336,374,242,513,638,835,237,011,411,520,983,111,689,214,897,032,
599,540,289,124,267,991,682,339,659,081,121,908,761,291,613,765,836,922,699,
830,393,008,157,923,872,687,657,341,230,522,997,755,164,367,125,367,280,401,
443,364,272,060,548,530,378,214,536,360,459,120,146,875,042,892,154,318,110,
311,595,136,855,057,303,550,623,057,793,176,770,722,502,436,467,170,839,463,
616,528,679,882,606,330,040,565,977,970,724,433,254,645,806,775,917,868,410,
683,211,081,962,213,616,291,473,735,256,653,098,890,264,156,705,380,997,494,
172,549,011,274,407,051,595,788,307,699,858,372,326,776,131,870,054,701,106,
510,305,261,925,923,877,116,949,821,066,894,907,781,944,399,873,772,079,931,
840,839,789,715,456,495,936,506,417,797,280,433,881,675,292,028,970,411,584,
553,622,153,613,754,456,889,717,001,983,109,061,254,192,674,311,304,093,157,
303,822,851,332,037,698,435,587,632,139,363,854,454,228,200,531,301,860,399,
545,935,711,643,831,158,717,622,457,838,750,519,391,687,777,630,333,598,736,
238,598,609,212,114,624,605,269,798,219,576,323,319,210,551,983,229,241,240,
560,261,251,637,449,287,788,966,084,456,458,004,249,387,678,471,503,065,749,
591,035,633,327,596,473,290,932,542,393,044,114,193,168,375,494,401,232,903,
243,256,778,049,255,837,253,340,150,625,236,844,691,346,127,317,200,446,593,
749,367,700,042,185,813,776,459,564,940,091,840,744,454,132,699,587,246,239,
664,436,677,314,085,715,521,403,127,161,265,659,251,603,782,005,491,699,136,
934,963,506,344,526,884,069,016,804,709,508,884,556,305,007,411,861,918,252,
539,121,330,927,749,935,123,153,427,480,658,811,692,401,417,992,323,850,772,
603,523,134,883,424,171,890,217,908,102,185,198,839,944,485,117,636,051,282,
246,063,388,676,350,491,195,378,724,314,701,339,649,326,752,711,346,222,129,
647,787,928,741,925,201,097,733,827,685,634,822,802,578,741,906,540,179,193,
511,182,051,756,889,075,459,319,530,704,682,096,419,840,888,995,385,250,352,
423,465,670,806,543,899,496,623,863,193,423,642,383,081,023,205,936,488,709,
403,209,139,809,918,574,568,980,198,832,033,403,412,888,853,677,058,293,456,
766,047,964,536,077,111,016,311,209,919,132,920,216,372,499,745,994,138,640,
261,024,497,131,644,351,754,822,696,420,526,031,041,943,035,694,247,170,120,
720,188,253,063,432,547,824,406,848,133,125,299,867,596,715,913,209,888,855,
021,438,987,306,022,686,323,353,696,264,617,622,221,013,784,319,621,337,188,
064,165,895,616,479,692,548,852,572,589,276,717,354,099,765,050,947,480,420,
299,698,105,373,309,262,955,106,675,085,117,562,381,486,227,027,968,617,938,
234,354,589,619,676,978,827,795,083,495,568,153,790,688,886,811,019,658,194,
571,348,483,493,093,676,326,558,634,208,356,642,297,984,501,537,046,938,383,
886,273,663,667,380,337,508,419,215,787,931,296,879,797,607,080,959,736,259,
765,985,080,553,073,508,731,140,037,266,697,799,942,613,689,471,343,892,710,
103,894,292,551,517,743,109,244,873,562,399,141,888,053,246,091,427,310,272,
068,826,164,638,257,601,547,651,467,239,383,495,150,329,893,080,174,868,626,
166,902,463,260,294,341,558,308,378,151,640,480,943,735,499,882,829,563,504,
489,608,314,562,683,181,495,695,946,045,067,595,166,470,250,118,546,579,423,
484,238,911,290,080,907,995,311,562,930,122,289,742,152,001,538,328,696,940,
166,462,949,269,499,285,062,444,512,045,262,352,356,212,201,141,749,063,063,
593,619,772,454,674,574,247,758,490,343,916,555,119,852,418,363,696,475,983,
852,125,571,475,837,021,785,278,590,350,089,592,867,922,082,301,133,628,607,
886,443,234,334,847,537,562,389,014,053,530,166,434,261,845,188,890,981,751,
605,207,196,662,113,031,508,232,197,550,609,570,653,282,599,060,825,275,483,
958,809,377,687,480,044,304,835,189,589,518,747,033,575,059,567,213,352,145,
751,977,861,497,014,912,626,908,111,067,713,320,058,114,105,416,724,828,909,
568,436,528,393,062,903,621,052,346,428,550,078,887,184,783,613,051,643,461,
844,639,853,400,783,555,541,497,150,289,309,086,310,193,044,486,135,388,313,
707,049,765,171,084,465,681,016,616,228,996,534,854,212,903,594,309,022,436,
871,958,232,615,349,655,790,770,220,472,194,764,330,975,032,366,909,857,793,
982,233,775,496,772,335,531,911,871,376,847,922,691,581,130,312,895,664,343,
598,363,205,569,511,227,012,038,854,456,480,737,098,080,002,090,497,834,420,
714,579,380,777,884,758,675,274,032,578,929,039,080,117,645,138,145,406,820,
541,819,463,625,145,012,193,160,680,181,416,350,804,952,320,141,080,733,859,
897,109,023,329,523,956,026,881,987,316,994,470,342,421,097,400,639,620,279,
935,475,137,758,029,378,603,347,023,900,262,642,645,861,180,702,004,106,531,
083,933,461,234,796,752,847,894,490,027,657,594,326,184,533,172,138,338,941,
588,027,994,918,864,954,905,738,570,965,775,743,292,794,069,381,192,158,470,
892,281,923,449,629,082,307,621,505,695,915,722,607,058,616,379,717,426,522,
797,015,914,240,785,448,130,603,940,382,436,079,904,811,025,211,053,819,258,
071,843,805,505,219,428,148,270,010,668,781,025,592,770,760,504,454,990,923,
696,036,615,327,369,309,984,922,630,983,141,589,493,936,873,916,228,641,153,
078,239,976,342,986,810,545,094,218,775,964,746,321,048,665,282,864,722,719,
501,123,093,516,129,752,515,232,092,205,220,933,734,547,096,079,804,870,807,
164,279,651,785,722,787,024,198,462,357,773,069,014,884,264,188,157,325,347,
248,719,143,997,272,038,337,362,869,755,308,664,469,162,608,669,120,309,152,
147,542,613,999,998,790,549,996,460,688,510,991,524,511,010,696,205,612,890,
348,322,922,178,121,879,159,959,424,343,997,175,988,323,589,003,487,500,236,
277,992,567,496,344,050,584,978,959,710,130,863,453,515,587,685,355,253,782,
161,711,726,094,741,897,130,755,853,094,084,059,309,181,042,689,358,280,503,
852,292,930,967,585,909,784,339,281,649,944,999,588,521,076,904,496,630,512,
572,269,539,732,044,934,699,077,460,437,501,389,189,989,036,600,269,120,871,
786,409,108,161,854,575,444,496,924,268,317,607,397,994,452,399,140,057,691,
142,505,053,660,074,943,735,223,024,092,655,729,737,682,297,385,531,827,407,
798,133,282,739,014,523,154,987,329,710,096,899,203,673,383,936,644,252,850,
518,517,668,609,576,336,765,609,429,116,349,227,604,247,068,910,143,433,069,
660,280,672,071,256,805,730,385,736,198,193,098,074,033,110,337,002,824,365,
437,302,088,504,319,150,724,819,782,548,188,057,623,091,477,334,065,929,062,
694,739,677,497,849,488,673,143,933,741,693,482,374,322,726,714,646,268,136,
710,724,629,048,806,500,371,747,283,078,197,048,111,792,158,660,346,136,378,
271,179,804,594,994,997,536,995,172,164,958,430,492,913,243,594,997,097,084,
815,684,344,514,162,255,884,548,511,734,199,706,347,105,388,107,139,512,428,
978,036,789,514,431,515,795,741,146,308,696,063,077,969,835,095,850,964,287,
092,670,248,216,167,682,891,542,661,834,652,806,812,728,962,106,594,112,421,
291,579,095,723,701,315,087,033,635,619,521,903,269,005,140,709,134,701,022,
436,089,262,159,231,465,304,524,330,377,089,600,646,978,851,131,882,610,002,
530,193,975,005,461,669,790,618,461,487,208,804,442,131,993,018,138,713,817,
381,311,738,626,247,047,775,240,984,837,104,901,700,526,681,273,625,874,355,
988,754,227,736,511,995,439,816,412,117,778,840,245,376,222,111,747,159,410,
763,535,832,720,514,390,044,484,126,453,188,825,845,394,094,300,129,772,483,
043,134,075,942,738,845,000,548,158,600,739,084,644,724,858,391,652,582,004,
177,238,250,925,953,319,444,332,888,462,419,936,013,417,620,560,671,775,658,
776,687,062,212,716,632,315,803,791,789,164,838,095,167,284,270,672,607,931,
825,613,179,025,427,765,559,442,296,952,079,729,537,867,852,456,179,216,870,
723,241,021,583,132,111,108,223,544,928,993,159,681,362,690,364,567,530,239,
405,260,828,104,257,906,282,279,312,886,193,103,640,616,736,913,177,149,641,
900,542,017,700,614,672,211,003,786,381,574,098,838,512,044,369,635,348,692,
112,801,179,034,242,727,371,212,492,540,432,713,613,892,236,400,986,410,558,
853,414,204,806,702,003,814,474,690,343,122,151,371,115,658,275,140,710,561,
857,348,905,635,826,303,630,063,180,554,287,740,086,214,632,285,052,058,041,
557,696,773,921,521,230,391,904,043,147,487,472,872,874,702,172,820,910,209,
736,345,956,512,194,147,353,199,349,921,766,306,467,479,992,978,301,408,411,
207,422,783,878,511,084,750,225,832,024,183,059,492,724,860,561,962,111,502,
298,437,082,373,543,691,041,029,117,291,644,085,395,020,442,813,936,848,795,
714,569,966,550,855,939,623,752,340,183,608,444,945,804,052,269,831,751,830,
986,112,606,095,449,658,739,269,814,600,969,593,013,772,814,664,341,756,721,
140,334,676,632,341,424,694,085,357,591,139,161,707,379,296,034,301,697,894,
647,702,500,992,271,767,786,631,453,267,187,990,864,350,940,645,650,262,827,
927,738,998,622,746,589,222,420,072,874,598,533,495,155,218,084,893,436,635,
711,425,571,054,876,618,041,537,702,452,954,554,637,447,330,889,685,121,524,
029,741,884,173,493,305,406,533,732,586,355,255,164,769,895,555,714,846,721,
906,163,912,730,736,053,733,477,336,141,512,039,421,730,252,531,156,597,175,
159,580,055,592,250,607,696,853,751,726,762,039,133,490,158,504,055,079,217,
698,737,830,330,867,579,523,105,721,972,583,302,615,366,187,067,611,435,280,
083,165,282,793,114,702,852,604,997,459,133,293,287,491,023,652,640,922,337,
568,047,894,594,673,503,634,509,167,896,627,357,904,183,701,371,361,436,388,
424,964,978,967,616,237,247,796,573,623,929,700,146,016,819,526,308,264,081,
137,580,473,851,381,800,521,898,402,193,835,384,599,885,812,465,645,291,477,
719,297,981,193,962,215,525,025,729,096,716,158,956,896,554,325,388,768,640,
680,169,194,837,002,299,980,843,094,700,859,248,541,821,047,793,119,714,048,
417,995,324,796,371,867,816,936,897,792,121,905,139,648,942,622,985,804,563,
180,083,001,596,224,027,246,268,459,914,591,850,482,329,690,287,588,748,495,
856,949,205,388,229,164,747,692,716,362,405,466,591,622,772,472,266,011,093,
645,244,571,162,466,713,331,921,123,353,054,880,555,548,468,506,795,911,904,
268,024,791,936,588,116,343,294,502,602,917,172,643,842,710,991,259,529,497,
239,111,758,124,273,201,326,724,670,749,879,804,223,893,538,763,071,182,686,
647,738,190,309,840,818,403,604,540,357,009,400,873,043,059,652,513,829,964,
697,140,126,233,554,157,927,699,951,348,807,405,529,426,574,986,938,193,902,
385,659,270,394,983,293,309,850,965,226,446,126,969,412,115,798,798,835,520,
172,993,004,349,009,895,183,322,874,642,562,439,374,277,964,566,284,032,774,
557,680,120,384,814,654,546,752,017,473,682,322,796,950,599,346,295,153,116,
748,543,225,265,511,079,568,485,987,471,676,432,222,866,080,528,633,978,138,
339,130,425,662,727,394,890,296,619,628,224,305,492,327,132,048,588,134,172,
383,412,242,392,366,303,566,773,744,967,460,934,407,786,502,059,308,949,268,
072,547,272,652,422,570,163,710,479,652,760,094,737,192,004,067,121,744,844,
351,406,444,736,870,707,552,888,664,937,220,466,449,659,077,542,042,273,261,
861,578,390,970,603,458,021,743,453,844,732,197,476,166,140,838,428,571,516,
705,723,990,397,962,049,698,538,958,410,154,238,466,110,993,341,772,537,614,
231,417,885,000,823,656,207,314,304,408,859,382,782,347,746,018,699,854,399,
254,472,975,758,575,117,375,718,212,395,856,835,192,353,180,814,429,538,432,
606,683,652,565,579,736,827,291,112,962,987,188,035,557,791,534,086,884,395,
195,308,305,068,018,638,226,520,616,596,218,892,065,551,506,924,898,171,173,
479,122,595,083,322,342,048,011,111,402,762,531,595,203,582,761,434,093,739,
140,456,517,031,711,928,163,074,688,669,605,236,359,419,117,383,415,104,256,
754,704,308,693,604,681,923,243,442,282,466,225,995,079,226,214,857,251,458,
691,065,582,437,933,809,525,962,716,110,471,111,929,586,513,927,767,504,477,
616,621,749,561,236,741,836,684,191,261,361,381,908,240,465,975,155,765,758,
479,363,771,972,086,671,748,075,141,425,558,789,481,876,332,268,555,091,224,
236,912,818,796,778,580,688,976,623,499,438,275,324,519,054,012,136,427,037,
596,245,772,205,012,144,932,900,095,969,970,199,343,032,074,555,559,525,847,
677,397,952,301,698,280,529,072,525,016,392,331,364,091,003,469,682,223,466,
267,528,339,867,726,023,202,790,538,823,270,062,124,541,368,422,915,972,537,
388,415,967,821,675,269,762,279,788,123,722,132,712,944,249,584,620,816,012,
117,975,427,752,897,755,421,407,045,754,844,406,168,886,855,566,187,906,733,
040,342,100,509,057,082,192,958,405,110,654,606,158,253,800,071,429,082,250,
498,947,098,942,320,031,606,521,038,298,179,747,385,185,490,861,953,609,865,
445,217,866,636,116,182,279,008,963,655,127,600,126,122,797,289,922,448,343,
691,428,870,940,649,101,055,610,912,705,583,844,602,967,208,713,315,039,294,
533,030,144,114,543,818,365,199,687,389,181,912,560,969,359,408,549,003,033,
327,169,438,288,274,137,318,649,595,098,182,125,188,911,348,738,019,376,853,
948,192,643,255,244,841,677,949,956,273,242,256,330,040,222,917,616,154,964,
054,285,694,884,551,304,391,026,131,321,463,069,529,497,974,895,177,381,159,
661,421,952,738,277,445,350,791,453,430,506,226,240,756,279,287,370,127,091,
626,683,743,357,999,071,636,645,302,205,001,550,696,731,873,257,008,712,526,
650,715,909,069,455,999,710,980,556,276,769,048,190,705,171,351,733,870,502,
853,185,154,064,357,139,559,744,423,246,797,222,829,077,249,160,412,444,352,
697,154,457,666,137,678,662,765,765,027,565,416,361,817,769,914,525,860,800,
745,323,862,881,166,964,633,308,717,066,505,920,740,664,678,506,189,094,991,
724,842,861,199,584,827,312,209,151,331,119,915,855,790,251,687,591,766,400,
846,139,663,443,389,409,458,808,167,624,535,545,699,933,043,254,476,637,677,
047,769,423,546,063,044,196,589,472,314,758,190,214,898,017,625,374,554,332,
354,039,390,981,154,979,513,416,389,855,555,484,784,731,036,713,262,500,512,
163,425,852,957,497,574,514,764,676,398,604,150,038,558,836,854,069,819,280,
833,587,989,274,318,176,195,603,346,027,077,013,627,270,444,811,026,192,919,
874,617,245,376,553,388,295,021,930,151,224,020,207,167,173,779,899,184,994,
942,737,248,874,744,219,570,219,213,158,917,833,493,883,524,112,406,137,050,
392,224,107,964,976,528,145,914,353,567,177,868,123,587,869,676,060,816,791,
197,151,268,917,613,325,956,870,697,867,029,440,704,800,527,844,528,234,310,
289,291,518,001,886,130,697,749,888,349,899,801,382,227,007,899,611,837,375,
071,825,606,425,172,185,310,832,041,283,016,374,045,236,754,795,357,904,526,
336,768,501,942,076,076,395,628,228,180,940,601,874,608,658,339,654,170,434,
974,012,438,898,148,372,578,616,465,494,779,864,095,667,092,412,717,213,644,
084,058,006,679,116,262,350,792,152,554,661,489,244,793,869,830,978,474,639,
643,663,796,960,469,355,674,878,351,907,168,114,395,737,866,170,848,048,082,
066,976,824,388,415,323,850,373,799,809,688,304,945,236,455,085,211,475,789,
200,582,471,996,243,111,696,932,021,224,955,088,322,425,722,084,325,769,807,
815,199,068,419,067,561,496,942,495,155,355,675,414,267,934,445,925,729,299,
304,946,644,190,022,829,758,114,548,788,688,208,404,857,878,464,471,280,578,
638,827,047,855,767,958,658,088,746,909,561,289,766,802,261,396,667,947,811,
234,212,508,752,670,322,779,126,517,277,069,066,339,817,345,237,038,043,366,
548,755,909,845,011,130,996,411,777,738,238,984,077,874,812,464,866,231,021,
309,766,492,670,184,762,747,452,365,911,120,182,020,456,026,193,406,388,889,
658,816,054,933,093,939,012,966,291,886,548,630,243,005,163,698,829,895,079,
966,926,189,026,810,638,450,539,837,439,344,931,637,966,471,890,015,891,259,
930,215,356,281,428,803,641,705,546,731,598,482,475,416,305,993,206,370,216,
566,407,265,497,606,378,347,021,504,267,562,946,163,972,758,988,099,060,483,
350,633,033,885,289,611,049,198,419,760,038,026,484,868,785,337,806,199,267,
332,978,229,977,229,979,339,847,651,055,786,467,397,355,453,864,047,244,585,
336,817,211,537,305,115,735,434,574,348,123,655,586,373,343,395,871,120,481,
399,112,692,560,335,594,703,758,967,770,291,743,061,651,242,069,350,470,200,
832,547,973,154,623,992,135,211,796,033,539,287,021,144,315,620,391,169,209,
700,451,566,178,233,991,450,800,016,035,523,850,497,704,996,524,061,253,590,
146,009,131,028,677,354,582,498,442,705,867,515,763,000,072,176,388,492,756,
036,871,188,816,478,934,109,210,860,560,399,979,472,399,462,685,589,742,084,
861,449,697,311,447,086,221,756,780,626,026,464,246,111,374,216,032,211,660,
417,629,455,993,499,482,265,589,606,632,531,100,322,829,283,653,172,301,741,
156,252,199,384,668,666,335,677,534,934,191,173,749,703,667,757,670,306,211,
681,321,860,286,964,960,785,125,463,677,811,131,895,377,569,330,564,937,795,
808,214,572,752,875,918,827,137,285,384,076,369,236,802,259,092,777,996,647,
982,590,420,184,903,748,840,126,741,714,517,963,378,973,196,542,288,359,015,
543,475,093,852,553,713,809,908,323,122,729,263,838,363,310,418,000,898,110,
146,823,854,941,277,648,179,358,636,887,807,087,325,038,629,443,597,906,947,
185,176,423,122,043,221,051,344,709,277,586,966,169,441,596,307,812,709,468,
612,667,464,845,769,568,502,331,521,330,953,433,975,355,956,486,540,430,300,
854,023,350,246,667,974,174,679,681,982,509,174,710,896,690,988,916,883,499,
477,546,037,902,536,859,436,083,834,288,301,646,358,896,729,446,336,660,190,
083,733,345,036,249,858,161,482,570,425,039,668,867,444,894,853,120,443,265,
657,444,075,549,211,138,029,830,304,703,943,012,722,380,461,990,208,225,272,
564,604,031,431,018,983,213,261,766,745,900,528,574,736,355,144,417,114,889,
109,081,965,064,996,982,012,289,473,272,451,961,086,738,742,724,611,233,745,
146,193,918,766,427,613,649,251,731,206,097,796,793,204,089,244,616,034,607,
745,522,516,589,288,996,079,736,922,518,956,182,467,837,563,332,982,700,981,
252,463,495,758,129,829,958,163,683,530,166,061,101,460,591,927,767,900,524,
192,297,817,659,009,454,221,166,127,976,749,764,503,466,919,750,031,704,441,
608,896,959,385,243,239,009,845,456,505,938,656,779,321,150,755,153,213,729,
937,820,078,657,722,032,879,672,488,687,590,356,632,668,580,056,177,065,357,
368,730,018,669,277,672,925,297,577,043,837,634,856,855,947,953,435,465,186,
789,991,377,398,413,354,475,166,834,979,785,075,868,727,068,235,175,705,105,
396,095,689,523,974,821,431,916,290,440,986,142,968,180,793,679,644,591,649,
764,074,088,266,753,800,287,395,181,315,474,750,457,153,927,410,724,675,802,
501,830,134,908,240,271,712,419,041,204,794,069,675,364,125,870,584,380,092,
590,684,440,850,199,410,155,070,178,549,048,673,166,113,200,438,666,606,734,
328,489,828,716,025,297,399,376,910,530,580,891,811,031,844,209,619,655,200,
505,121,257,193,535,261,882,880,025,845,483,289,499,354,859,601,773,709,127,
904,013,953,829,257,058,690,460,583,762,813,843,513,680,727,138,785,198,568,
895,210,953,867,357,270,013,804,057,897,850,987,761,056,215,875,179,315,609,
654,386,849,840,701,767,263,136,005,262,523,009,452,727,688,505,901,485,963,
703,217,161,032,993,701,432,044,412,579,306,786,514,422,855,949,715,417,208,
891,796,639,265,123,783,264,548,455,602,739,555,736,502,150,878,433,011,442,
140,761,123,838,893,293,163,113,871,151,423,793,663,440,930,228,873,135,933,
549,705,125,187,705,770,841,998,067,248,117,862,473,526,235,372,062,098,477,
204,646,090,980,210,036,003,122,463,240,271,642,454,727,047,773,755,472,274,
391,034,876,017,474,268,412,204,180,356,506,064,710,652,353,240,302,560,138,
758,732,008,087,434,549,483,920,681,996,148,037,814,228,291,578,150,124,493,
248,142,163,380,338,842,466,458,947,180,274,767,477,494,830,071,577,546,476,
811,976,245,337,983,291,671,736,641,735,001,366,920,671,402,739,761,499,987,
358,847,427,381,933,181,176,322,563,030,895,591,032,472,765,510,379,587,867,
691,046,678,135,111,023,414,191,785,839,790,790,907,070,903,095,961,443,623,
474,595,879,263,246,563,925,543,378,111,769,447,269,747,400,792,398,218,401,
164,315,669,468,984,041,796,864,993,541,460,480,185,331,321,874,135,015,256,
323,479,840,005,439,177,605,357,524,423,778,285,549,534,126,060,509,208,392,
840,727,256,085,127,263,567,488,264,528,334,343,656,186,160,882,587,496,744,
515,769,554,569,942,520,772,640,318,130,316,632,809,716,824,695,897,934,407,
687,881,894,372,320,395,751,389,611,714,998,256,700,643,986,214,767,421,256,
645,725,885,538,933,051,453,214,405,556,329,479,206,920,026,572,382,722,723,
991,402,306,839,967,147,130,073,792,938,754,951,930,512,385,864,015,200,078,
967,315,226,970,254,108,359,615,940,369,858,901,360,045,560,935,133,229,024,
070,317,960,770,599,918,350,749,348,784,990,899,576,337,941,679,981,800,444,
226,499,979,392,054,985,007,377,022,262,221,352,630,697,574,951,182,901,825,
103,437,803,201,182,919,670,265,540,917,848,680,911,061,395,592,146,731,876,
482,454,320,132,838,251,477,091,388,334,464,846,624,759,209,469,453,505,810,
302,710,480,502,811,476,717,135,309,011,542,343,314,777,153,152,543,983,000,
300,999,515,269,792,851,961,829,183,402,786,817,816,687,625,438,653,674,648,
505,893,851,114,034,452,733,277,815,298,575,246,886,859,452,172,586,988,055,
585,316,080,489,044,045,084,181,321,494,933,253,814,400,204,210,605,959,543,
348,537,135,864,671,676,857,147,042,484,319,738,889,079,310,418,888,632,324,
411,950,550,144,147,391,252,646,658,614,745,129,252,912,104,969,538,070,013,
164,813,042,938,094,970,475,212,705,856,096,616,852,839,916,557,536,023,462,
105,424,778,658,852,836,216,040,030,336,775,671,789,299,496,786,108,168,440,
590,261,169,274,154,779,128,229,917,892,875,005,523,477,492,246,913,794,037,
906,181,987,164,947,284,271,027,734,847,693,573,392,501,365,724,258,226,298,
817,078,473,492,113,181,640,227,445,828,539,708,551,665,296,322,942,250,890,
683,399,036,660,487,617,056,979,659,942,456,921,529,750,650,220,901,463,326,
186,780,700,951,690,169,444,286,011,773,443,337,491,707,459,606,851,018,931,
992,653,000,400,624,596,823,086,025,518,915,238,255,424,235,077,970,922,568,
872,085,905,176,644,959,696,543,133,129,777,659,311,024,435,057,411,234,382,
795,912,119,597,964,889,894,788,622,348,087,697,449,280,881,729,162,467,605,
024,037,513,601,765,247,906,982,790,550,076,940,194,318,097,110,426,829,122,
375,752,607,508,751,453,873,703,703,308,752,790,284,884,006,548,722,439,489,
601,526,729,037,400,365,102,643,178,284,993,225,193,748,268,475,113,270,489,
188,185,669,133,552,224,441,102,258,023,208,109,060,967,851,940,844,796,897,
231,790,469,841,975,356,304,380,388,364,812,906,240,679,742,262,760,814,213,
013,085,154,417,417,567,370,502,526,023,929,343,134,990,088,204,072,823,256,
771,919,220,710,006,977,032,345,958,096,871,645,988,125,364,773,274,870,303,
491,925,760,487,230,513,076,784,066,608,553,470,810,373,897,441,639,251,421,
225,213,054,547,338,566,738,449,189,486,987,309,377,514,841,453,480,503,226,
661,441,920,885,299,949,168,690,655,157,806,249,375,181,986,408,000,787,402,
525,740,607,585,376,743,372,403,405,512,819,273,940,014,517,992,967,478,505,
651,324,138,555,297,191,454,048,770,801,684,979,118,380,526,201,939,075,115,
992,480,876,603,773,888,752,139,928,390,110,591,323,324,354,143,024,324,989,
898,105,360,280,194,504,882,375,771,082,570,540,275,791,440,225,008,996,776,
987,745,570,119,026,010,578,425,445,330,086,068,363,998,595,799,696,322,974,
833,029,048,059,385,430,814,732,396,323,319,066,612,984,272,906,018,887,811,
356,820,059,960,950,575,725,671,438,412,927,121,437,906,861,080,543,082,358,
433,142,496,233,186,728,084,839,455,931,309,330,234,255,959,193,521,938,325,
961,296,359,278,588,336,856,956,211,832,330,890,515,462,802,799,304,276,245,
764,889,446,718,197,261,470,307,485,155,372,223,455,833,495,579,325,299,309,
197,614,520,674,577,764,319,260,758,526,240,540,309,678,952,054,988,564,149,
316,766,356,890,781,625,395,776,554,490,722,485,474,146,841,455,225,150,890,
178,169,214,001,426,069,748,156,718,054,470,763,441,181,686,831,158,575,289,
694,400,217,123,752,609,703,242,345,538,980,119,737,954,605,721,857,361,364,
772,349,784,922,712,241,850,346,407,614,177,471,209,835,613,890,831,866,552,
410,414,921,556,514,530,788,267,380,673,708,706,450,447,881,076,185,804,648,
532,260,417,380,583,771,559,416,161,945,428,881,269,509,668,839,443,484,611,
312,696,169,908,124,915,821,379,049,840,254,916,520,438,736,775,030,670,078,
392,243,559,534,479,740,087,105,301,899,797,933,105,554,572,223,818,369,590,
093,716,645,408,547,940,916,313,058,795,630,604,470,906,337,137,115,219,915,
084,745,024,423,979,322,386,705,442,480,525,725,511,800,995,464,563,083,481,
690,859,895,401,390,573,536,339,918,249,213,314,929,822,623,324,312,502,618,
643,334,581,695,581,086,477,383,286,835,615,124,298,308,332,805,602,023,278,
120,454,206,545,762,503,868,022,956,924,449,850,560,648,386,061,404,454,424,
456,994,597,737,733,018,674,073,685,197,682,168,489,952,155,726,868,052,649,
995,396,109,458,733,364,137,282,364,613,821,179,458,893,767,514,887,420,998,
505,618,303,812,203,370,333,514,696,011,961,016,100,304,814,454,142,562,084,
404,649,813,311,954,769,272,475,180,839,530,517,760,455,040,086,690,816,555,
134,559,289,843,466,897,643,760,753,402,272,446,175,741,302,102,029,208,684,
479,815,689,855,658,276,627,764,507,563,218,399,397,971,709,166,050,008,942,
649,303,409,121,896,799,398,166,048,981,059,643,496,948,712,154,199,731,915,
965,950,328,576,756,928,321,822,512,627,378,336,147,626,996,772,302,774,658,
021,496,698,822,411,250,415,844,753,186,712,687,671,875,779,691,341,626,457,
297,909,913,792,884,483,667,504,543,403,101,470,673,023,916,460,864,368,807,
133,716,499,762,295,634,138,188,934,265,787,853,104,828,426,766,407,394,489,
980,558,136,780,284,904,782,373,854,014,260,606,211,355,888,401,203,479,704,
419,864,383,888,398,564,022,151,368,679,413,790,906,960,995,695,819,809,209,
973,369,350,821,490,441,876,932,448,796,755,230,612,756,512,497,261,885,362,
579,195,056,650,817,950,441,997,184,150,171,095,612,649,584,645,825,538,250,
849,201,134,837,892,889,868,410,100,231,380,992,341,362,229,898,968,659,723,
191,719,824,993,487,202,092,416,999,236,013,789,554,232,655,067,763,475,585,
378,290,482,729,679,150,674,853,128,824,778,631,739,007,359,426,714,094,680,
706,169,205,705,857,043,210,508,623,105,822,539,223,469,312,738,704,703,627,
172,915,090,869,046,886,499,645,143,477,774,673,009,166,790,500,942,763,766,
684,988,682,362,344,721,516,517,605,784,710,609,536,108,419,448,297,878,017,
491,333,657,576,620,800,849,811,295,659,459,580,612,609,334,493,345,484,615,
079,489,077,206,576,780,291,353,710,689,462,431,272,075,462,166,405,815,375,
713,361,166,423,295,940,457,717,321,421,990,204,353,135,351,787,602,144,550,
139,014,039,784,642,007,537,099,721,819,673,260,820,927,696,176,045,191,941,
065,588,732,766,206,719,077,191,638,445,499,599,693,511,485,969,332,106,111,
018,639,432,063,148,147,559,367,235,368,031,919,220,387,718,234,092,363,507,
634,286,074,282,375,108,398,217,041,303,175,660,652,267,045,321,006,280,481,
227,064,243,986,323,247,649,505,428,466,448,109,953,074,511,439,869,899,032,
881,271,643,108,333,170,997,890,262,893,095,029,566,288,829,880,416,619,896,
617,244,132,504,499,950,382,577,126,703,814,402,419,458,323,887,854,316,345,
825,904,660,724,214,405,949,129,615,400,272,690,368,847,740,946,556,346,869,
595,254,120,911,856,117,268,517,487,744,090,743,199,620,881,079,172,918,616,
793,876,007,319,899,163,660,297,234,270,501,070,643,947,568,383,444,890,871,
383,030,585,976,118,240,098,993,114,144,124,586,431,417,817,315,999,589,068,
901,030,854,785,038,253,397,165,089,994,602,244,895,615,857,781,394,059,851,
287,886,657,381,173,593,559,826,494,721,741,550,845,352,957,904,260,664,760,
503,248,145,827,721,526,835,353,938,917,411,586,295,550,291,339,385,978,193,
218,715,083,800,524,209,469,943,797,044,796,786,760,712,231,668,496,956,781,
237,136,781,681,889,447,374,199,659,454,137,884,866,976,379,479,376,821,518,
569,203,788,214,198,379,831,753,003,367,646,515,399,176,227,586,636,060,541,
107,829,130,159,584,548,586,777,789,536,036,340,566,528,266,142,418,347,783,
133,188,469,592,165,630,664,130,281,622,039,778,453,544,050,665,883,131,285,
446,312,527,378,688,438,592,904,827,309,291,745,167,373,953,089,079,292,437,
552,632,934,985,280,007,657,802,327,630,565,214,880,737,059,616,795,862,522,
393,602,902,093,247,231,736,397,118,235,138,974,142,929,970,489,178,963,051,
370,607,281,574,405,833,196,910,348,455,194,205,222,525,332,962,517,532,481,
504,588,890,361,692,341,477,968,625,673,888,901,817,235,566,993,008,228,276,
307,396,553,336,102,858,289,061,256,510,220,012,071,571,525,553,446,067,458,
114,832,010,350,052,857,988,793,357,223,743,221,363,111,751,194,978,070,772,
139,815,858,020,015,794,461,321,866,190,812,084,425,656,161,975,578,563,448,
977,868,292,947,936,406,358,780,002,193,287,871,139,148,875,116,544,885,880,
539,929,937,243,678,667,928,134,741,149,194,430,269,859,591,588,448,356,050,
689,100,124,523,702,404,378,063,927,214,127,535,725,209,775,282,200,436,778,
426,236,843,543,339,658,215,672,932,220,764,132,409,674,557,875,761,792,848,
893,561,456,024,526,363,904,980,350,263,651,663,931,310,763,530,897,018,228,
295,441,722,038,872,723,429,665,960,575,538,420,875,486,048,719,782,298,842,
601,816,548,287,736,632,385,772,581,969,291,502,524,181,904,991,019,828,236,
386,746,373,142,757,730,920,848,075,748,919,114,214,692,310,947,584,478,318,
946,818,421,367,302,137,662,620,530,717,525,843,969,881,397,985,189,877,219,
222,802,676,721,319,161,311,942,310,717,481,785,572,800,940,067,187,795,354,
239,930,544,596,742,909,812,797,746,789,028,263,621,910,132,990,399,613,503,
172,972,553,268,038,527,562,946,489,143,976,400,643,399,878,351,756,279,820,
213,655,766,344,792,453,403,008,937,016,637,029,616,102,382,723,716,066,369,
203,074,703,820,217,436,379,151,849,748,833,188,889,268,784,429,744,587,757,
172,224,175,100,919,318,947,192,783,422,188,766,638,111,891,188,064,708,567,
127,287,999,494,407,342,103,060,526,484,247,615,332,938,711,410,457,912,098,
315,112,998,657,987,000,892,411,010,581,325,683,095,253,877,419,860,398,041,
688,942,125,990,761,737,592,215,555,927,746,614,298,196,374,559,977,544,306,
044,210,062,631,865,939,062,271,572,452,845,053,693,262,863,817,814,633,826,
085,925,368,889,982,499,568,599,286,533,785,078,812,404,200,086,538,609,419,
512,678,225,460,044,385,174,152,574,185,295,349,556,441,429,295,712,333,939,
996,541,494,165,247,741,696,575,120,863,561,069,429,641,721,341,404,501,516,
247,152,755,487,122,274,215,985,703,524,341,667,301,654,556,269,682,635,455,
625,374,795,744,513,733,108,442,368,938,186,511,808,913,977,041,130,487,849,
188,025,653,875,475,792,768,807,022,531,532,831,462,951,772,305,922,728,837,
978,621,049,692,602,424,696,702,429,727,914,052,340,463,482,921,248,690,019,
833,181,068,326,727,622,253,968,391,356,924,975,871,032,230,669,010,248,922,
082,339,701,080,450,527,177,851,168,552,339,733,797,090,875,479,455,672,779,
691,805,565,954,706,053,581,706,146,751,110,126,070,528,455,928,578,480,679,
755,213,111,787,785,110,379,345,818,749,713,863,802,333,126,403,126,484,064,
910,245,387,918,324,010,409,973,434,953,893,880,648,383,027,215,634,997,223,
662,092,091,641,303,451,134,343,198,595,834,316,281,807,263,244,673,392,761,
424,224,226,761,030,859,552,367,798,836,614,246,479,443,156,461,263,846,437,
635,377,072,283,356,336,704,995,764,908,985,687,519,025,490,082,161,427,689,
112,634,411,698,408,897,122,933,523,136,252,051,619,938,885,305,990,613,100,
065,091,086,457,271,839,902,785,119,342,930,764,303,059,529,284,208,249,724,
460,921,000,295,446,614,939,127,069,667,743,985,669,705,983,518,203,939,866,
357,931,699,312,114,068,774,322,436,337,005,650,774,667,328,723,304,347,384,
744,031,550,856,099,616,644,638,420,723,020,629,632,353,331,582,097,895,768,
384,822,197,584,111,523,641,830,383,430,836,413,936,291,776,999,824,535,950,
953,536,085,909,054,241,992,892,497,977,162,061,600,393,343,337,397,524,676,
596,404,463,520,895,631,104,185,537,110,754,463,431,426,985,115,511,187,055,
709,594,582,243,467,877,791,971,902,522,058,827,565,442,641,005,760,444,588,
771,587,253,861,378,071,884,907,880,348,270,405,378,400,151,117,094,155,478,
437,380,904,871,022,054,510,009,486,704,212,188,552,499,981,688,308,498,816,
349,272,168,501,646,597,842,295,090,662,174,908,831,403,195,747,147,556,961,
298,260,455,696,260,751,258,674,705,786,942,346,976,840,463,155,909,930,021,
880,593,980,895,986,381,857,771,585,127,789,780,097,070,784,902,378,449,141,
088,593,012,474,080,515,977,801,703,042,127,802,260,167,319,740,141,856,423,
999,792,690,805,459,003,551,138,655,087,391,360,446,702,038,830,135,049,311,
550,418,836,673,025,406,219,626,413,771,375,518,102,378,284,167,174,020,519,
586,449,859,383,302,137,282,829,331,019,762,376,851,635,029,151,695,676,494,
885,489,919,400,985,265,936,789,015,838,090,993,403,950,418,664,431,371,848,
139,832,932,237,407,618,993,588,975,949,307,216,226,655,873,785,390,852,278,
800,166,349,980,143,523,686,435,570,953,896,476,049,395,682,657,846,918,715,
962,390,965,759,031,350,833,580,818,307,732,835,065,996,822,642,599,530,985,
517,972,769,713,733,804,362,494,993,128,659,055,283,000,367,489,239,457,066,
284,444,357,881,513,942,796,479,318,057,927,201,260,921,655,795,575,662,763,
095,665,157,426,834,515,820,543,382,090,837,409,023,062,967,663,282,924,338,
378,039,679,227,079,387,141,566,232,497,194,258,110,774,058,491,404,090,669,
973,780,506,284,136,387,338,625,371,580,099,250,287,106,659,443,318,831,963,
134,651,293,170,703,643,753,254,597,514,675,729,613,629,184,771,888,389,736,
515,628,506,610,779,025,094,454,633,382,962,595,227,381,357,873,329,593,804,
917,882,385,092,052,411,732,543,969,645,859,962,363,176,729,103,932,444,925,
770,259,084,713,316,452,961,172,447,607,771,511,545,103,534,929,749,376,273,
816,867,462,094,296,240,798,845,010,806,153,614,431,947,224,653,563,944,907,
761,160,920,375,709,736,045,602,243,120,959,515,706,611,442,352,378,168,984,
523,441,589,501,668,259,874,214,861,919,082,537,191,681,467,706,797,761,672,
408,161,896,806,252,005,823,253,183,834,963,685,870,318,259,193,382,352,205,
418,150,101,784,428,617,591,924,589,163,277,706,685,617,120,194,667,675,184,
337,489,092,837,369,710,615,728,090,556,355,857,721,595,996,108,119,528,176,
382,995,724,190,874,510,413,168,729,006,991,844,015,210,519,159,476,159,080,
141,962,701,565,284,481,756,760,968,995,255,712,800,339,497,405,082,461,916,
659,837,922,196,273,997,851,446,882,084,529,885,854,158,646,743,506,588,181,
402,172,609,019,025,894,609,125,273,630,428,500,971,835,061,781,033,270,398,
648,370,268,904,415,488,055,264,079,038,725,119,589,494,070,467,749,786,164,
725,134,466,789,682,689,889,795,155,782,988,172,064,340,533,260,949,020,889,
233,621,222,388,837,101,137,954,538,661,769,026,713,288,779,300,365,038,475,
124,400,522,712,885,634,515,540,848,552,667,395,727,020,133,535,625,815,265,
579,036,613,281,334,798,144,633,831,596,847,088,623,200,255,745,349,810,099,
134,084,656,293,814,540,248,759,983,767,367,318,781,772,010,292,287,107,337,
083,783,982,752,906,487,288,608,813,948,520,360,439,653,263,421,843,563,439,
204,952,938,979,901,124,528,247,150,207,908,257,519,200,836,018,247,149,450,
589,951,651,408,892,401,990,799,644,739,910,201,585,687,089,379,241,564,545,
071,103,837,638,637,545,550,072,794,178,320,025,036,480,901,925,557,731,457,
712,377,251,316,256,587,309,385,484,592,609,029,113,167,008,343,644,018,019,
036,308,536,516,389,977,393,334,152,054,328,140,079,384,917,087,793,953,123,
114,240,966,969,926,774,906,729,672,242,290,460,364,782,388,884,920,870,265,
662,334,729,008,985,877,713,414,797,420,445,505,901,537,696,728,566,108,092,
791,086,942,050,225,799,639,621,150,863,230,266,211,533,863,203,259,334,600,
881,008,978,020,163,152,662,400,876,293,026,559,879,648,079,565,429,078,101,
908,740,594,959,875,802,898,209,815,972,796,286,624,425,229,164,907,614,065,
841,686,604,348,291,289,860,716,866,147,084,494,841,160,522,020,662,520,458,
974,499,626,588,744,104,846,847,081,529,641,372,357,164,232,359,404,484,119,
813,860,668,300,074,451,031,364,728,821,271,156,543,276,843,555,233,217,969,
421,996,566,839,097,335,615,867,484,499,027,832,450,854,770,630,573,027,599,
131,353,556,835,151,256,483,058,581,501,081,776,733,309,258,899,484,028,559,
831,084,839,673,523,989,317,957,504,319,165,275,208,671,286,390,478,431,904,
921,006,570,085,401,128,694,936,314,716,089,358,958,348,229,059,504,436,086,
003,263,257,362,073,605,509,180,683,523,211,269,739,705,345,381,601,816,083,
523,661,939,008,856,729,057,453,959,776,502,717,227,535,277,286,574,246,280,
794,006,652,966,081,754,022,006,854,858,858,611,553,915,350,431,643,331,989,
951,294,230,355,358,086,141,762,340,538,998,536,785,842,414,291,886,391,131,
265,627,682,177,778,675,151,356,373,897,432,304,631,549,238,050,393,271,506,
626,521,475,869,531,302,134,916,431,063,798,158,084,281,374,830,243,530,539,
615,181,088,506,360,335,554,324,419,075,632,635,563,495,045,150,340,384,621,
304,876,061,127,485,168,060,765,754,625,742,246,829,276,941,354,852,089,128,
275,236,795,377,986,577,372,780,901,210,931,737,110,833,030,600,627,190,123,
489,440,279,301,051,177,927,755,243,186,046,884,659,533,867,961,659,037,502,
354,469,788,759,425,766,184,569,158,520,176,057,453,907,585,242,955,305,162,
528,935,120,039,660,078,409,632,430,371,653,643,549,341,270,654,242,683,783,
720,305,824,160,166,464,719,908,111,878,647,354,984,132,670,309,330,582,596,
486,062,140,849,066,152,760,510,339,992,812,583,110,083,802,070,066,774,218,
706,592,060,840,548,612,872,997,442,796,210,098,257,250,633,163,949,545,371,
888,054,130,905,609,765,329,720,484,003,252,515,338,031,319,379,943,773,347,
171,631,752,430,304,063,199,535,140,190,252,588,771,018,370,831,022,484,281,
496,562,240,823,863,769,353,169,987,061,665,506,936,605,887,662,760,034,930,
186,925,961,471,581,424,316,231,792,929,791,728,885,970,027,378,829,155,971,
667,332,807,258,852,398,667,079,094,064,198,458,173,847,397,813,147,808,219,
291,975,469,491,011,409,821,291,235,160,556,599,905,720,350,271,742,745,171,
499,178,321,589,966,911,362,122,844,444,016,375,816,930,459,710,690,572,418,
294,202,438,529,318,624,965,269,903,155,749,986,249,558,228,653,139,340,936,
293,246,651,989,572,817,626,624,288,482,961,584,366,632,359,873,082,465,522,
312,892,008,839,928,045,910,276,719,563,768,086,703,396,174,851,907,012,413,
874,691,441,877,396,910,160,996,218,184,497,405,167,682,749,531,440,533,451,
116,438,927,401,139,762,273,423,573,175,483,870,385,103,664,441,937,072,201,
518,836,159,288,036,904,622,272,553,169,831,175,214,063,693,136,970,486,811,
177,578,365,176,220,124,188,485,216,526,766,430,161,615,850,932,315,441,966,
453,852,832,703,902,386,817,563,160,777,510,456,968,187,850,629,204,686,574,
948,848,181,754,249,763,044,881,132,635,158,799,974,763,312,872,765,093,373,
029,377,492,904,425,816,157,304,805,770,719,690,493,453,334,078,221,879,493,
245,645,961,326,481,099,742,365,163,376,825,608,199,989,737,968,183,277,649,
469,393,237,939,482,511,549,382,407,117,797,501,146,854,642,784,082,110,483,
553,621,926,142,041,771,658,408,171,163,646,595,395,567,244,646,085,514,449,
395,027,650,474,555,542,628,382,281,978,968,618,492,136,589,116,907,675,685,
989,160,836,515,989,070,798,435,428,689,558,059,204,230,558,762,167,393,433,
953,533,817,687,816,578,029,083,856,361,124,333,193,712,699,231,106,286,466,
469,213,038,360,894,955,294,807,137,541,737,219,294,459,795,601,183,203,017,
074,287,915,038,170,209,466,376,772,445,084,229,899,241,593,516,072,269,924,
394,406,081,391,749,680,749,049,471,839,557,991,359,058,594,308,483,038,116,
174,913,093,005,227,870,266,354,231,633,160,989,813,093,680,618,870,538,780,
861,632,752,440,251,509,450,325,397,103,867,167,702,966,303,014,685,350,297,
297,557,696,651,230,326,579,717,761,278,797,625,457,002,654,087,764,423,254,
466,958,046,265,936,394,630,161,352,436,006,115,969,013,784,045,868,781,752,
814,620,101,470,873,500,633,726,297,612,686,870,563,083,789,169,632,244,125,
395,439,745,773,433,160,817,766,479,980,764,600,421,672,993,555,275,913,431,
975,217,498,268,531,623,582,327,084,532,801,844,657,332,330,283,611,650,457,
163,982,638,186,616,708,677,243,771,288,926,561,749,983,207,721,613,524,529,
514,423,421,605,235,731,017,921,758,789,118,353,451,100,353,928,896,303,223,
935,535,265,529,903,973,946,175,689,905,519,290,235,898,812,007,575,233,624,
114,177,746,910,515,007,053,890,000,752,614,399,869,106,961,176,949,696,396,
905,771,359,167,551,699,735,565,876,645,317,251,925,886,522,054,762,229,843,
710,745,153,438,547,672,995,528,850,752,476,794,476,133,067,374,409,842,058,
597,672,393,346,512,832,595,331,183,449,502,371,658,383,340,937,989,341,783,
202,892,122,830,169,620,912,646,331,591,192,507,266,640,045,680,671,063,147,
971,169,855,096,065,163,609,280,681,043,477,615,530,181,295,654,404,225,293,
624,666,065,876,952,304,132,839,435,342,151,215,851,299,727,076,497,440,976,
857,759,137,067,224,804,271,639,546,084,792,570,990,506,174,423,627,251,202,
282,199,134,235,854,247,072,915,762,112,547,265,330,890,905,491,561,556,079,
015,105,904,528,487,560,113,868,892,932,035,402,626,665,563,342,965,738,283,
617,788,450,358,315,372,066,672,051,056,699,136,248,298,504,028,735,946,697,
748,285,614,751,219,035,756,677,241,943,894,000,968,973,359,952,622,256,164,
168,844,227,964,404,965,491,209,813,182,476,561,061,845,211,568,059,546,647,
228,709,313,664,456,661,187,652,049,235,113,394,669,464,528,535,354,888,685,
050,455,290,294,708,434,986,822,864,382,660,358,296,546,571,053,648,244,904,
253,044,139,831,963,872,864,391,174,915,181,487,519,687,996,796,101,046,566,
231,312,937,654,531,552,189,782,970,507,489,064,009,697,803,421,296,137,513,
611,770,335,191,052,978,519,663,412,116,880,987,986,969,698,304,938,376,353,
526,645,637,575,751,350,498,670,868,160,697,320,252,657,623,854,009,311,322,
627,765,139,649,538,163,830,760,905,136,906,393,081,088,369,317,195,760,016,
981,321,879,189,055,181,867,726,793,480,181,937,700,236,048,064,726,269,938,
111,250,386,296,936,208,575,664,256,140,955,236,016,396,629,988,496,070,663,
515,201,183,486,668,435,692,257,897,043,750,341,549,795,591,145,696,757,453,
529,571,738,449,026,732,007,465,310,678,802,113,805,618,626,089,242,456,836,
066,060,533,207,295,889,052,800,871,015,544,014,139,987,057,461,603,319,966,
060,380,107,668,637,339,940,563,782,919,152,721,351,612,930,113,964,322,819,
528,453,263,514,433,823,380,898,560,032,080,324,426,288,871,705,457,263,108,
644,851,969,165,489,226,959,362,298,340,299,856,701,154,077,503,827,787,556,
260,154,269,575,589,547,331,537,015,557,542,420,627,193,893,258,999,176,675,
110,238,915,845,818,358,851,670,345,231,710,835,828,698,818,357,958,955,189,
817,285,063,000,037,168,694,432,945,421,768,405,855,025,080,889,815,981,984,
054,707,972,120,521,817,661,996,973,404,137,960,406,488,325,741,763,494,211,
504,535,613,617,239,254,893,001,507,488,610,020,643,741,123,087,232,614,372,
758,554,556,904,998,879,993,398,597,456,489,559,262,338,919,251,814,579,065,
527,565,035,870,260,487,873,769,016,380,557,697,549,184,306,136,932,748,682,
967,093,258,646,791,125,159,211,784,995,156,379,205,680,102,199,010,242,212,
430,606,660,376,712,263,637,854,883,448,543,612,483,519,570,308,952,707,571,
263,711,132,200,564,381,430,526,198,499,632,188,546,238,990,880,276,928,221,
037,811,675,070,487,845,980,198,952,855,787,735,572,426,301,487,180,544,137,
832,462,953,444,977,124,876,625,994,060,159,549,741,193,806,262,177,938,825,
530,516,095,404,281,983,664,871,763,970,471,046,695,206,782,692,204,776,160,
181,300,729,487,286,856,418,418,379,518,009,878,364,528,742,344,590,428,967,
695,211,418,915,617,884,636,830,629,177,189,923,219,960,215,569,893,561,467,
689,548,461,514,693,886,468,723,387,929,546,587,670,927,036,608,679,116,635,
292,651,216,768,116,963,643,349,755,554,637,598,231,255,708,237,144,316,967,
608,564,360,644,533,377,072,341,695,637,366,664,804,798,499,092,695,937,383,
980,557,666,024,669,595,302,699,465,836,211,779,247,828,513,960,355,410,692,
779,076,417,958,301,237,311,700,207,996,464,750,361,287,164,550,600,751,592,
317,111,757,997,625,893,881,111,470,350,560,419,311,667,369,825,918,767,699,
748,480,291,766,566,566,502,682,457,829,131,477,558,153,650,822,767,947,126,
084,985,952,071,071,130,939,097,007,335,819,064,623,822,845,166,614,069,350,
164,160,216,485,632,252,067,115,863,141,001,549,776,767,011,295,387,582,055,
404,856,148,489,953,274,888,330,004,219,094,237,160,677,073,158,811,926,627,
398,973,818,407,316,476,839,745,400,971,226,536,233,201,454,383,870,224,549,
873,494,758,185,604,736,222,796,268,595,055,420,619,334,260,688,599,699,134,
294,294,490,749,913,775,652,891,729,014,403,621,858,222,507,038,055,741,309,
310,536,621,699,308,590,847,910,225,431,820,551,801,973,774,064,749,410,139,
597,267,497,721,688,083,159,813,318,946,504,702,631,626,870,129,965,392,065,
028,432,206,666,018,980,037,140,531,320,737,585,423,734,210,983,434,489,181,
372,346,976,562,722,652,051,090,348,686,098,246,745,047,449,354,092,804,768,
442,817,313,180,875,313,586,920,344,058,948,996,044,101,802,465,867,332,237,
110,953,704,583,294,713,072,489,313,905,293,231,825,487,948,889,962,547,170,
512,918,911,396,016,369,175,915,725,135,725,757,219,027,760,068,224,308,648,
309,378,910,546,526,490,281,221,913,220,061,284,656,213,783,642,766,823,442,
681,501,859,321,449,513,306,218,825,859,519,075,394,001,409,458,054,637,181,
825,932,259,717,848,787,941,080,015,920,886,421,833,115,207,582,733,288,583,
661,163,495,848,365,503,605,450,260,304,716,632,751,703,172,774,962,155,490,
311,277,834,529,893,643,991,756,400,153,005,185,017,888,369,940,428,956,131,
002,585,882,897,741,839,183,534,841,842,124,414,094,262,716,384,756,201,008,
109,721,202,751,320,044,087,349,069,653,404,111,606,608,054,291,747,529,831,
470,153,465,626,340,736,971,148,309,530,697,790,154,996,071,731,115,768,656,
264,647,503,831,397,956,941,117,344,348,630,226,006,254,113,416,351,164,495,
590,063,450,734,117,303,359,983,459,603,577,887,635,709,282,375,598,833,252,
110,507,855,905,676,121,399,533,530,786,981,011,097,725,725,564,808,964,152,
790,668,008,901,210,081,944,786,491,072,441,750,694,655,161,896,620,361,984,
346,373,449,879,442,685,526,500,979,135,078,095,077,370,203,789,015,754,471,
250,085,196,208,537,634,110,025,360,772,761,644,534,093,539,725,418,827,935,
810,097,826,650,349,265,539,225,813,490,810,781,787,731,360,875,600,960,879,
371,448,208,951,780,494,604,740,060,485,702,434,097,100,972,745,842,536,967,
863,285,075,485,268,102,973,791,493,431,579,448,422,038,516,153,320,353,255,
516,045,225,011,215,377,725,407,829,116,539,099,010,576,444,779,956,253,176,
184,325,837,050,123,216,349,823,271,888,103,167,472,258,618,727,545,867,637,
413,649,228,019,479,731,573,085,095,471,640,463,385,572,520,516,001,633,807,
784,714,224,636,063,826,150,175,576,903,736,278,427,731,239,335,685,961,871,
321,597,093,358,827,722,385,322,122,344,320,800,729,051,212,511,405,682,671,
682,220,053,913,371,808,273,619,287,243,193,460,805,956,618,562,371,222,394,
639,694,518,871,549,002,293,857,058,481,790,739,311,491,676,191,682,736,757,
786,152,159,929,832,801,449,564,026,761,185,237,155,908,369,008,845,866,307,
167,132,833,624,640,148,395,326,146,751,207,014,984,268,488,346,235,206,588,
039,783,074,200,601,927,539,994,730,713,605,256,102,722,163,301,648,009,626,
577,937,030,911,839,573,333,612,532,822,891,416,123,641,322,102,144,456,215,
048,803,539,628,004,552,153,263,660,171,499,178,877,033,942,302,594,015,797,
448,288,003,116,094,596,165,860,305,382,383,919,645,019,847,922,031,350,471,
307,656,274,265,038,981,482,299,110,125,315,752,231,942,131,653,722,870,718,
935,021,859,532,152,353,337,818,334,263,139,278,966,299,566,523,616,157,649,
935,675,952,540,716,398,887,132,061,821,279,898,242,945,557,326,502,289,704,
650,716,368,215,423,584,082,974,956,378,965,651,879,284,578,619,629,074,198,
592,421,311,547,912,720,462,685,382,408,525,390,867,772,868,359,618,665,554,
946,040,175,582,386,312,411,983,284,171,311,027,635,868,180,315,603,873,574,
685,884,155,571,077,123,990,694,422,788,311,785,808,542,105,961,793,011,295,
314,571,812,962,712,864,324,090,832,458,407,687,675,591,920,418,495,952,080,
056,644,861,907,689,416,304,551,616,245,479,307,073,335,311,700,120,259,009,
956,232,384,139,596,676,188,426,546,493,372,014,918,878,089,060,165,550,202,
280,303,010,234,637,324,132,113,464,946,863,673,718,848,588,936,056,188,532,
851,462,092,450,984,022,558,373,888,894,696,745,269,148,277,945,730,355,722,
595,267,533,102,686,359,260,253,869,652,921,856,217,487,716,674,239,341,482,
563,047,490,729,812,104,653,329,398,954,008,682,391,910,166,452,232,914,257,
843,969,412,662,597,767,314,978,528,738,848,735,318,081,149,511,774,124,761,
614,363,200,446,275,240,347,356,527,307,782,904,976,729,017,461,066,345,964,
151,018,443,054,668,302,043,197,991,833,515,679,137,459,031,339,818,068,335,
538,770,353,738,241,515,498,581,724,260,282,207,492,098,911,667,412,536,490,
001,071,447,693,160,514,105,763,710,065,058,417,762,556,585,618,088,886,733,
100,579,913,928,175,043,395,569,949,038,625,809,888,660,176,705,259,066,525,
570,017,256,361,186,688,096,389,161,650,891,457,314,418,682,311,541,825,213,
819,499,990,455,194,200,235,417,384,080,182,024,309,340,311,864,474,386,956,
119,676,305,319,303,633,113,949,310,341,264,255,353,756,754,595,536,234,238,
870,986,720,891,860,261,570,579,156,027,854,752,002,751,065,928,786,252,648,
076,066,312,187,629,276,495,423,140,162,842,936,179,374,084,157,822,156,117,
213,459,060,281,133,531,462,689,657,053,976,709,883,426,744,777,551,896,708,
101,816,535,240,440,590,908,921,872,289,635,376,249,652,894,779,878,609,587,
595,646,024,173,535,262,388,465,704,675,811,180,584,105,229,758,607,495,784,
193,042,955,972,113,456,014,801,541,276,230,749,930,229,113,715,600,519,235,
711,217,227,839,870,752,989,722,380,178,330,899,401,420,060,775,146,236,903,
102,127,778,646,464,030,406,460,449,535,330,513,007,321,259,397,445,150,645,
181,619,397,908,730,907,534,839,918,477,932,625,366,488,686,695,463,633,172,
709,134,473,319,892,866,547,974,992,576,639,816,651,262,412,315,119,612,355,
204,824,199,807,060,705,400,227,949,877,424,701,509,420,082,617,287,999,716,
613,639,118,676,723,829,305,674,735,907,012,005,439,867,166,949,032,605,794,
469,472,122,593,982,240,352,842,520,981,285,647,531,481,313,070,526,721,097,
596,392,885,086,155,363,482,718,728,584,431,413,528,203,187,200,413,693,696,
348,619,408,275,471,900,524,014,380,083,377,797,006,506,032,064,660,424,698,
829,259,602,066,940,714,311,431,802,364,705,818,330,625,659,107,729,585,485,
983,729,849,285,948,587,852,450,954,740,608,431,442,505,295,318,098,478,348,
296,323,027,063,038,529,199,705,247,509,127,424,553,453,097,334,165,674,941,
252,185,826,787,901,220,008,546,154,546,018,526,585,408,527,091,955,111,962,
220,412,583,082,521,913,381,864,039,530,604,814,883,471,766,036,752,941,785,
068,015,961,335,832,253,768,585,638,903,587,592,312,400,324,392,995,064,099,
770,369,582,871,330,289,905,037,558,224,132,923,293,775,851,411,131,712,602,
147,824,611,447,219,912,149,003,715,536,860,116,515,541,113,734,179,587,493,
592,108,249,454,197,162,288,503,778,678,112,225,359,687,246,001,338,546,311,
065,205,690,112,585,350,275,423,102,058,560,301,518,092,998,428,053,810,978,
748,106,468,851,967,561,558,595,469,860,951,519,313,175,714,917,535,153,624,
259,945,776,683,705,087,571,185,861,473,800,977,192,602,125,969,827,056,346,
733,987,214,841,287,519,320,064,588,605,219,303,728,963,901,863,089,242,215,
324,773,070,488,958,951,360,053,150,511,157,116,593,126,062,030,624,930,793,
639,654,226,942,232,791,419,841,311,065,822,493,419,910,596,997,590,476,085,
465,251,313,526,220,919,541,265,987,121,792,057,991,072,571,749,461,929,722,
791,751,076,991,830,012,373,423,924,341,872,089,607,959,347,950,314,010,839,
479,738,826,473,888,266,753,726,675,776,819,621,663,537,781,146,560,386,003,
837,730,036,972,088,731,582,577,131,031,954,931,506,674,838,733,749,604,085,
727,041,002,802,938,807,437,456,368,805,622,572,385,776,216,451,347,059,096,
287,683,756,261,046,609,671,308,265,328,986,750,456,807,606,000,435,479,370,
653,531,525,043,331,856,872,941,347,981,532,195,387,400,712,104,065,616,679,
587,663,147,571,422,670,749,694,232,048,943,416,762,961,908,898,160,409,870,
747,365,697,236,354,272,559,319,349,333,270,533,642,322,012,943,707,079,664,
825,563,141,535,041,544,889,384,563,834,700,437,393,111,113,919,721,922,680,
907,773,301,999,205,831,058,539,215,328,080,732,150,843,963,417,028,476,694,
091,051,859,689,714,635,357,196,136,273,770,824,307,973,634,933,603,092,981,
531,572,282,993,660,075,943,666,453,052,900,922,639,989,009,787,075,131,464,
366,937,275,156,147,581,660,549,496,841,903,777,915,703,425,544,517,614,186,
119,481,588,842,568,886,165,486,609,382,575,130,758,784,031,242,698,173,408,
153,527,870,486,910,357,658,340,843,498,153,189,538,060,399,473,630,521,881,
587,095,254,257,025,745,723,254,197,394,099,496,979,717,530,029,558,868,123,
262,575,863,218,461,882,248,313,222,945,469,627,875,617,684,149,553,298,507,
039,344,963,940,679,743,795,908,840,333,338,598,937,812,733,804,904,429,396,
929,925,240,068,052,826,801,793,262,975,382,088,708,985,691,253,000,087,780,
946,042,616,293,111,628,537,449,003,924,913,372,563,666,592,634,242,564,742,
035,937,835,263,574,737,256,869,692,393,150,432,499,107,894,642,528,162,614,
638,934,992,908,925,016,855,724,618,479,176,262,380,173,617,776,676,067,653,
238,925,521,938,057,646,685,400,356,599,248,889,041,740,017,257,136,988,389,
562,011,502,001,351,726,209,202,964,413,011,139,706,224,257,580,746,235,255,
933,490,616,787,038,257,127,929,398,190,485,198,079,868,109,314,651,831,180,
009,432,711,262,865,957,190,018,221,527,445,822,061,793,125,445,400,145,270,
234,461,556,609,864,241,457,638,610,687,849,387,068,746,256,906,079,986,633,
972,050,965,872,745,346,549,034,267,318,132,155,882,765,879,933,747,551,073,
379,181,092,245,133,006,313,288,350,571,392,729,404,960,704,171,333,917,362,
158,616,578,999,149,423,649,393,335,158,750,404,115,877,649,300,075,722,680,
732,789,695,500,725,838,899,120,308,959,522,848,894,215,486,464,053,789,402,
985,126,269,140,875,547,722,903,115,113,999,045,451,840,566,391,317,558,969,
677,212,798,605,212,679,703,902,151,188,427,229,140,345,018,071,543,443,634,
224,036,691,616,335,200,379,224,826,916,085,419,120,693,929,984,548,924,944,
174,618,057,825,219,307,300,664,431,192,914,966,337,322,755,750,878,530,085,
475,908,745,988,404,860,832,048,165,321,784,707,674,272,344,656,054,586,291,
364,577,755,617,183,900,948,675,331,693,608,854,483,568,575,276,184,267,355,
645,301,159,362,435,105,293,418,122,807,274,085,530,215,084,294,656,371,827,
764,784,863,668,815,364,151,311,279,407,915,172,749,356,363,870,294,695,793,
216,785,360,026,239,213,609,628,251,274,828,783,494,738,525,387,438,392,716,
682,339,169,449,082,733,754,771,534,289,277,559,387,638,490,599,032,639,513,
940,125,838,301,016,262,352,729,316,437,044,398,781,258,810,377,611,570,664,
752,962,019,519,220,518,657,546,983,404,952,726,976,878,781,420,056,636,108,
119,698,157,301,154,788,023,165,251,658,628,756,912,193,162,778,988,087,725,
389,156,176,037,518,209,963,038,975,390,475,531,049,138,519,536,752,903,016,
554,798,835,830,896,446,477,321,236,203,591,381,416,754,516,772,175,750,054,
013,450,792,769,480,217,310,026,821,971,483,285,077,481,150,025,047,443,713,
123,461,069,619,732,203,882,398,196,472,850,575,430,916,930,716,632,254,808,
564,554,853,083,921,491,122,736,539,009,387,454,437,472,141,628,991,644,379,
913,306,757,686,436,786,282,957,543,214,204,212,185,650,842,262,115,652,156,
042,263,946,294,627,061,459,757,300,614,605,626,407,494,680,087,417,541,519,
065,656,629,127,487,332,311,156,832,444,329,434,109,923,954,445,995,925,130,
342,875,184,467,304,397,761,167,322,603,664,289,894,142,033,418,896,126,214,
616,676,874,852,479,283,474,653,758,395,951,086,802,759,549,403,899,866,545,
100,877,482,188,171,652,493,782,962,709,955,907,190,695,347,182,289,357,705,
546,317,885,369,257,710,300,857,099,017,298,936,037,061,955,290,724,296,066,
246,563,842,703,130,348,029,479,985,850,888,058,929,483,913,360,500,027,168,
719,443,349,434,443,268,479,548,210,431,143,086,278,888,156,806,286,703,270,
561,264,660,118,248,230,405,652,561,349,944,341,017,112,727,550,025,124,240,
620,803,883,833,942,540,744,636,145,863,990,223,973,472,280,975,969,342,281,
904,114,686,110,180,965,688,069,247,247,027,966,263,127,052,698,129,130,012,
610,132,841,851,509,461,610,507,862,729,418,046,367,969,868,685,312,817,845,
897,884,818,457,480,742,222,843,726,039,371,247,311,156,049,885,784,701,704,
168,372,308,276,667,150,726,802,869,363,130,999,494,434,648,810,846,188,412,
737,853,189,267,825,509,819,491,739,411,958,230,674,681,404,628,612,658,810,
305,413,051,739,392,300,795,017,857,194,496,341,452,822,240,700,107,763,156,
671,925,534,404,883,264,599,337,957,343,717,409,832,117,800,781,362,252,174,
900,669,328,776,144,288,599,213,651,748,764,565,663,880,680,873,310,285,715,
033,709,651,222,444,575,172,061,694,731,268,474,286,787,582,883,391,325,467,
238,329,053,824,384,734,223,852,779,222,044,270,708,473,591,982,815,434,836,
833,736,563,819,475,569,024,105,016,538,314,508,820,243,182,201,402,310,800,
060,066,756,355,961,534,484,389,745,562,332,088,728,203,124,889,752,516,625,
053,816,453,576,689,373,233,238,241,579,249,712,458,578,697,101,797,927,705,
778,442,777,957,919,813,012,520,151,948,626,841,621,768,163,019,081,349,988,
900,801,548,486,456,248,666,033,116,287,704,795,992,432,432,438,395,197,470,
216,165,442,006,186,709,963,758,684,727,016,301,018,087,831,176,641,213,744,
215,079,836,315,363,803,761,026,754,750,143,308,488,117,772,185,386,659,851,
373,856,074,728,225,364,846,901,494,294,330,224,932,846,487,632,443,106,147,
263,250,447,022,680,945,930,956,146,589,734,088,257,649,421,834,413,769,543,
755,575,990,074,147,248,079,654,513,240,082,960,971,802,572,234,703,166,257,
870,037,957,429,191,037,013,132,300,809,468,356,061,520,878,001,806,086,662,
391,009,394,497,185,711,444,450,846,291,579,097,170,953,568,778,559,808,838,
269,413,551,981,697,380,748,278,809,295,479,678,056,896,022,712,951,676,278,
052,709,003,502,237,229,412,227,841,666,178,731,549,999,462,056,679,293,943,
600,380,693,153,964,463,918,749,768,940,283,550,371,968,400,751,635,378,908,
453,536,975,108,590,128,274,682,391,008,171,795,495,976,423,373,921,465,500,
520,127,559,819,886,918,844,194,794,001,402,116,932,960,522,394,702,005,073,
261,125,578,299,803,603,545,502,614,120,864,459,435,757,012,827,850,322,904,
090,997,034,345,139,326,673,632,984,849,269,589,152,810,137,410,720,703,828,
097,769,746,450,294,616,142,942,770,742,376,231,059,441,765,062,251,498,150,
373,433,181,567,766,865,227,173,763,124,556,505,205,777,143,044,123,218,350,
620,747,345,264,551,484,723,653,582,440,208,014,577,289,524,779,681,878,332,
528,186,874,877,095,276,351,439,491,044,983,192,450,916,024,376,330,413,621,
134,783,118,157,234,944,568,768,591,950,170,561,558,494,723,040,202,099,308,
722,747,799,854,418,242,964,097,897,118,255,406,730,645,276,706,243,712,368,
835,207,847,656,861,119,192,421,049,730,515,618,413,289,605,255,233,790,094,
288,948,375,743,844,248,626,326,240,226,910,146,277,784,913,335,140,362,200,
451,573,280,150,074,463,229,332,917,674,560,316,284,293,253,286,484,318,080,
957,362,996,887,028,195,171,184,947,705,181,043,600,597,812,886,299,784,432,
382,068,113,948,180,066,502,308,472,617,382,550,862,208,187,307,120,242,168,
693,052,268,071,673,503,276,861,072,725,304,748,583,355,070,482,701,924,896,
660,807,700,545,393,610,278,672,219,331,468,395,123,578,548,986,409,636,896,
689,054,570,176,427,473,024,602,603,245,415,894,711,708,929,275,887,644,147,
683,104,597,693,010,673,529,541,728,280,950,287,734,091,032,434,404,996,571,
844,222,769,537,615,226,898,330,107,140,307,963,848,064,682,087,972,224,794,
556,718,867,750,513,618,158,557,227,017,538,497,612,188,169,220,585,066,606,
746,365,727,916,929,652,601,985,005,990,477,106,963,336,277,595,386,226,908,
770,854,266,103,015,905,163,461,943,882,647,203,004,969,059,267,041,930,939,
638,886,021,867,413,635,323,735,880,553,488,407,149,849,164,822,640,154,853,
165,341,892,337,210,463,463,063,538,138,176,276,367,944,648,605,618,870,774,
915,595,813,099,915,202,984,244,532,290,962,643,551,034,296,779,219,700,290,
766,811,607,249,171,905,825,330,151,006,366,205,336,327,577,313,322,520,652,
617,356,977,443,479,256,867,590,148,130,119,467,348,507,051,274,672,027,116,
193,204,039,494,358,670,726,570,099,492,450,686,010,753,812,305,601,383,394,
457,991,676,872,566,717,987,486,876,345,506,668,071,763,113,164,929,875,599,
419,393,960,328,642,771,018,405,602,835,777,841,395,856,946,206,741,703,833,
462,092,403,716,916,334,466,480,792,825,517,449,618,898,556,148,414,989,940,
662,379,523,537,543,724,262,063,443,531,527,340,876,864,725,417,740,532,173,
843,668,346,485,555,525,182,590,143,909,232,360,818,758,256,831,427,259,865,
951,492,528,023,919,433,237,177,074,011,562,524,323,940,683,205,360,454,048,
875,091,376,539,179,532,214,079,325,718,541,518,085,143,375,609,628,674,677,
611,619,257,767,861,630,719,777,564,987,238,272,978,810,393,305,130,609,517,
894,144,877,003,637,818,668,618,876,039,380,614,655,674,260,361,381,258,818,
304,793,525,722,415,657,045,288,747,636,289,551,876,881,772,616,912,509,876,
137,917,246,991,220,537,978,237,002,470,706,568,542,043,843,219,572,876,994,
345,722,103,726,518,416,925,325,228,083,292,222,268,679,312,823,386,426,001,
712,226,771,162,350,842,731,487,605,796,318,540,519,159,273,220,165,579,871,
498,056,893,130,021,422,361,876,965,298,022,469,518,695,238,883,270,097,133,
998,689,464,773,156,364,392,557,412,493,344,766,615,386,440,690,629,061,506,
797,915,742,964,514,888,216,315,037,440,897,350,799,905,210,612,914,222,233,
610,824,921,283,457,980,367,247,323,304,191,487,202,217,539,875,577,946,091,
100,189,040,805,207,046,410,365,461,589,711,786,094,198,591,519,355,774,099,
499,405,934,446,564,896,808,171,093,722,370,237,377,627,377,924,595,294,783,
309,482,530,620,035,552,647,977,910,765,114,837,636,651,552,172,860,618,818,
817,895,349,545,076,135,190,815,168,859,668,919,671,653,316,306,431,153,435,
874,101,031,060,813,772,607,610,169,504,303,242,350,263,570,784,866,563,260,
455,884,537,770,834,264,285,552,919,897,547,016,950,923,864,151,701,109,753,
915,646,395,785,125,738,011,223,901,733,309,289,473,382,078,737,082,584,361,
415,446,964,266,783,949,501,121,354,685,895,393,393,520,111,213,930,739,479,
180,715,050,580,950,347,803,198,134,701,642,186,505,027,867,998,812,514,970,
696,492,266,396,168,780,226,223,180,826,791,284,767,634,222,107,679,449,591,
888,398,838,929,998,185,630,001,070,276,671,458,015,824,967,641,664,358,731,
465,265,204,701,787,957,569,525,243,132,933,747,082,635,486,819,447,884,216,
113,290,849,846,094,746,455,767,722,465,882,297,664,070,043,818,120,832,889,
576,364,298,428,008,945,786,524,805,732,982,550,149,649,188,656,341,418,203,
978,342,554,326,903,630,323,016,359,080,976,707,357,761,733,164,056,094,773,
004,243,307,182,280,242,355,578,281,965,520,538,641,129,677,013,188,588,659,
224,238,313,592,213,411,793,984,441,856,014,893,404,635,595,307,216,247,513,
634,016,814,492,084,178,960,262,743,500,267,626,125,655,417,302,935,647,281,
502,163,398,793,005,797,134,454,228,394,479,734,681,364,732,712,982,933,976,
431,425,617,776,322,776,136,609,350,806,774,942,096,211,531,427,382,988,610,
492,591,251,883,369,997,716,006,118,932,412,329,069,896,049,629,913,171,352,
118,261,463,042,042,338,702,165,113,081,503,263,725,209,689,638,144,669,818,
667,060,898,733,582,949,655,722,236,933,513,281,063,450,832,914,459,668,656,
693,473,763,833,747,281,665,710,104,836,510,350,581,603,071,375,363,860,725,
183,662,332,039,915,870,100,572,560,698,716,576,397,634,991,305,964,982,225,
258,593,659,481,320,350,376,920,937,567,567,726,353,510,818,914,578,994,701,
803,528,735,211,046,204,341,293,440,540,993,664,625,443,848,203,952,883,418,
071,682,483,083,134,629,123,727,744,168,174,575,025,088,041,882,803,847,320,
101,551,899,913,692,747,299,879,760,391,592,264,578,166,158,770,822,516,761,
195,284,051,473,712,992,490,279,211,768,910,465,310,827,752,471,192,013,023,
684,043,384,440,016,890,758,925,509,772,893,892,501,227,921,522,502,088,844,
643,945,815,138,474,937,668,856,475,580,597,755,643,170,164,015,371,789,485,
246,658,792,975,096,529,945,296,512,613,550,880,748,707,146,005,084,475,816,
185,847,987,702,846,936,331,014,814,602,575,803,672,868,262,980,427,205,665,
258,606,728,458,424,410,152,569,394,795,287,668,599,840,202,066,416,235,066,
307,936,870,196,660,577,458,259,258,242,881,243,120,872,013,244,020,812,732,
402,593,397,368,153,891,184,658,932,562,032,639,687,013,785,689,426,955,618,
434,066,088,706,130,524,846,475,814,388,116,586,000,710,896,641,282,028,809,
688,163,549,097,425,536,317,447,693,928,356,196,152,999,659,875,833,138,535,
729,104,703,170,637,138,992,354,713,217,410,710,561,620,195,144,117,807,175,
656,002,957,106,628,833,736,629,050,930,244,591,926,014,104,400,507,017,970,
405,380,171,395,890,992,886,251,297,478,495,182,507,722,955,379,738,412,714,
691,163,563,453,517,211,866,554,968,637,387,587,823,683,677,863,606,971,462,
853,525,345,295,338,461,195,501,525,732,368,969,336,485,507,137,392,058,428,
218,365,251,207,312,318,718,964,327,645,829,286,073,895,543,066,622,565,255,
274,178,607,545,192,583,485,000,261,012,568,092,105,235,759,602,713,141,916,
368,543,582,160,908,887,282,510,847,101,678,305,528,343,535,462,464,370,607,
727,915,737,566,694,781,896,027,726,448,924,837,591,058,091,647,212,539,117,
926,536,074,055,509,637,759,451,049,828,148,626,161,378,606,649,884,221,916,
203,223,668,017,381,799,656,739,837,504,571,089,149,346,299,498,709,901,515,
274,014,632,087,142,959,929,973,171,642,368,268,628,178,091,218,881,123,229,
513,803,440,302,136,388,701,100,346,391,744,951,138,576,897,226,792,570,802,
001,659,155,465,866,997,068,646,866,301,042,274,688,033,456,291,071,892,689,
146,342,320,067,380,383,432,949,917,621,974,877,439,586,973,824,250,895,453,
913,652,128,583,844,252,854,248,944,684,490,565,264,471,253,239,732,107,844,
572,407,219,995,278,983,835,392,574,626,806,419,369,231,746,690,348,134,531,
964,379,262,299,544,359,306,753,445,486,209,151,512,726,608,154,555,227,665,
284,351,162,063,139,686,437,305,194,901,335,118,866,569,727,189,016,649,512,
631,548,823,718,129,835,594,997,133,723,906,210,152,295,763,358,256,984,938,
960,298,923,560,894,791,699,959,098,584,018,512,348,888,697,786,943,769,889,
418,382,100,257,873,784,029,074,398,548,844,917,250,497,612,795,569,586,201,
531,974,132,513,409,706,327,641,143,252,556,340,224,076,678,788,570,866,277,
623,232,859,952,026,721,574,134,491,402,552,294,264,775,893,534,112,588,472,
833,862,058,232,673,067,516,727,163,831,868,500,088,054,631,809,638,160,408,
623,056,248,754,573,202,879,156,350,786,403,197,301,972,963,360,854,789,189,
454,525,439,274,870,212,376,453,129,368,239,037,699,296,028,934,371,916,924,
647,858,125,518,479,362,211,287,313,639,548,720,781,141,324,329,413,786,803,
298,503,946,837,206,082,471,886,645,206,548,784,563,478,351,433,757,203,763,
571,382,608,389,411,135,342,907,954,853,286,705,619,905,970,241,011,436,723,
948,636,425,885,822,419,536,154,298,476,722,259,058,554,311,502,011,159,509,
550,362,437,772,863,107,039,213,006,067,119,714,881,439,738,826,969,387,052,
119,679,401,686,128,579,809,012,735,327,096,316,377,149,059,305,717,101,440,
503,537,137,295,537,040,451,904,092,827,670,287,302,567,673,291,636,002,940,
271,822,376,841,159,561,100,590,597,118,571,170,265,033,246,124,509,936,672,
333,684,195,817,177,600,916,082,363,190,355,162,551,720,977,990,845,665,918,
306,690,439,986,998,087,510,133,087,366,350,568,804,652,023,140,585,109,807,
330,847,346,820,291,577,130,133,521,268,447,616,088,654,229,849,580,349,892,
705,825,649,048,374,989,025,022,155,439,498,713,209,318,279,748,665,363,537,
657,538,892,906,326,175,835,050,913,193,999,588,106,949,308,133,887,807,466,
530,638,341,751,213,396,759,307,291,828,366,958,836,403,291,015,431,816,980,
907,470,630,370,201,707,121,796,832,846,344,738,659,678,545,122,093,095,467,
427,697,328,343,643,041,821,738,968,956,570,992,187,490,624,625,179,457,636,
177,424,227,509,777,228,035,060,773,168,305,268,011,862,468,793,005,598,668,
150,638,678,353,742,732,439,138,595,022,888,558,329,036,119,759,758,063,018,
638,297,597,184,251,489,384,446,878,969,454,785,809,286,105,956,198,848,112,
370,610,459,942,968,621,329,549,964,200,771,575,529,217,744,660,756,593,595,
220,138,877,266,696,347,206,150,600,680,308,907,469,984,454,088,150,948,388,
564,993,725,170,969,793,222,837,240,259,673,888,267,586,239,625,472,810,225,
533,022,016,179,232,582,263,257,282,055,588,810,464,312,696,674,363,772,095,
176,210,420,904,593,109,792,258,971,633,260,368,282,965,008,614,284,374,321,
584,935,703,781,484,307,299,040,622,353,055,149,755,723,221,039,701,058,176,
252,924,427,074,713,497,256,366,652,986,191,052,338,539,491,619,797,147,969,
821,888,589,799,182,489,472,851,122,938,080,780,356,776,218,991,203,974,673,
912,929,054,431,082,351,292,070,102,524,839,626,750,808,448,864,003,508,618,
320,655,729,701,186,555,428,317,104,150,273,904,091,721,479,154,167,884,302,
493,041,977,691,917,522,222,664,558,718,801,657,060,263,113,976,584,371,527,
387,650,063,628,525,023,391,235,865,007,936,085,432,748,457,105,687,206,952,
084,574,473,999,169,262,678,846,646,196,160,906,098,796,358,508,257,062,558,
210,771,779,039,880,444,771,798,021,366,891,086,474,264,335,588,182,026,217,
924,458,774,018,214,032,969,631,217,099,489,480,409,249,186,585,672,864,695,
142,937,191,742,253,054,826,921,294,591,438,584,396,181,016,356,032,308,016,
365,294,692,477,847,394,115,069,353,187,843,299,297,648,812,748,381,163,176,
421,548,018,979,217,603,188,337,864,348,070,449,208,083,589,833,011,349,595,
378,006,055,717,538,952,815,880,751,926,286,186,273,554,237,974,762,946,622,
246,566,044,515,775,673,650,044,091,978,914,171,948,248,171,273,875,692,313,
068,294,199,192,554,262,591,520,185,695,523,121,228,283,540,711,257,274,495,
007,571,563,716,102,016,527,719,116,607,393,602,803,133,080,692,539,182,658,
610,120,565,480,365,333,948,045,900,719,575,745,378,779,671,112,932,507,837,
369,324,312,605,197,084,135,893,017,117,887,241,092,075,982,247,840,974,459,
260,102,669,005,557,117,959,153,325,965,270,997,210,586,476,885,675,098,122,
364,420,228,078,040,818,499,920,432,363,973,445,264,959,423,227,881,439,634,
877,342,032,930,443,141,528,217,904,762,768,911,809,524,747,829,043,787,225,
141,831,892,664,793,815,368,618,820,910,430,842,016,650,339,381,060,070,451,
986,188,381,877,480,571,406,453,630,481,925,638,983,191,928,894,061,449,113,
873,891,303,232,774,307,796,968,611,493,782,843,137,842,652,921,704,568,287,
449,486,587,373,722,575,740,298,147,758,935,460,625,531,719,357,404,469,980,
470,107,929,215,815,012,032,397,219,208,218,086,415,881,518,401,543,074,217,
914,675,762,308,931,116,937,138,603,614,324,791,185,511,290,406,377,509,076,
876,118,613,269,684,029,495,416,134,073,028,662,133,510,707,572,326,285,364,
560,817,999,866,014,826,734,319,465,708,353,989,409,309,383,895,629,254,633,
043,609,213,292,461,557,902,659,499,285,247,390,586,498,291,996,477,591,845,
142,441,517,909,418,334,120,664,694,897,697,425,276,227,637,395,934,009,539,
547,984,794,311,030,970,927,209,019,853,190,890,141,879,557,566,774,934,160,
511,593,164,884,883,820,834,160,174,147,490,948,259,682,837,596,598,638,246,
898,071,442,180,343,964,163,357,751,825,506,510,876,391,015,175,922,016,780,
710,808,077,491,339,324,499,522,292,972,100,635,719,106,166,258,233,228,971,
850,012,289,000,958,603,800,602,815,193,094,946,208,250,612,200,201,618,822,
685,964,128,485,522,123,424,142,432,243,803,921,315,740,987,671,972,754,494,
139,820,165,164,134,165,112,707,105,223,971,064,173,024,208,516,633,448,772,
562,140,316,308,153,162,519,700,427,531,140,095,192,131,333,390,085,947,283,
249,720,014,977,262,524,977,518,797,224,477,236,159,152,298,143,661,572,297,
209,831,743,848,830,379,466,835,632,117,440,823,166,788,003,568,308,387,208,
873,547,658,209,002,958,333,714,409,802,865,077,127,486,839,624,594,544,338,
485,622,193,801,469,366,664,634,834,181,229,638,973,878,926,287,519,535,493,
912,632,952,390,838,009,390,079,371,201,800,389,973,632,319,058,143,456,876,
928,077,238,055,551,207,702,326,906,453,437,516,736,621,910,261,460,777,889,
426,013,069,980,244,345,701,477,118,814,877,035,402,267,534,871,566,961,979,
651,399,606,530,902,028,261,254,203,337,330,042,180,642,905,737,868,666,032,
788,246,071,351,027,901,595,274,263,913,119,759,534,145,805,566,670,201,549,
706,605,584,228,090,047,741,806,059,801,388,237,601,486,324,359,269,615,325,
992,759,850,339,923,526,088,378,070,130,918,612,942,440,335,672,774,080,214,
232,094,414,779,050,260,558,276,205,636,866,165,881,996,523,085,458,318,469,
603,087,287,931,269,227,720,681,568,672,737,003,694,500,204,325,975,226,939,
115,735,349,406,859,718,650,162,225,209,162,297,931,665,359,532,776,753,112,
846,282,339,324,577,959,888,131,916,022,336,216,932,924,436,636,499,786,211,
458,648,447,483,240,669,382,455,298,292,773,704,568,459,448,409,975,497,291,
905,610,601,236,783,534,220,720,907,426,948,925,940,117,936,858,699,503,189,
630,979,196,146,661,088,944,971,347,686,962,588,210,440,164,738,560,476,397,
564,978,043,796,096,165,706,040,826,411,900,507,676,900,389,033,237,648,986,
412,094,909,179,692,262,078,648,171,169,273,908,240,101,881,665,244,082,981,
851,389,661,611,986,712,607,139,534,915,540,085,463,021,429,251,488,663,013,
429,003,928,024,731,663,321,253,760,243,114,989,591,363,045,590,607,735,889,
915,475,273,491,151,674,434,388,943,080,605,592,334,373,175,490,075,132,394,
188,236,607,340,998,226,390,889,906,991,702,036,172,861,765,516,996,881,832,
473,534,814,028,883,658,550,239,855,702,680,228,406,351,063,178,962,298,905,
536,948,919,340,943,277,687,839,565,172,716,522,333,899,903,268,280,200,203,
301,292,882,103,204,805,120,166,369,833,708,012,209,859,641,246,566,911,837,
915,764,322,847,121,645,329,745,976,195,453,071,857,693,258,870,346,010,871,
478,502,703,053,691,908,256,324,578,925,289,539,322,746,122,465,617,603,007,
265,294,001,523,470,773,849,453,980,601,791,904,197,628,929,507,359,413,600,
675,635,570,480,053,519,659,434,788,233,819,945,820,453,154,857,674,094,755,
134,608,754,932,407,592,326,772,376,746,602,994,036,854,679,304,200,335,965,
047,534,594,130,549,233,177,636,357,173,580,880,917,131,232,237,223,769,918,
527,097,788,017,483,905,189,167,261,806,751,848,022,976,805,041,873,199,430,
069,828,279,504,398,178,669,136,226,660,520,139,886,610,997,278,025,030,296,
698,772,371,602,961,058,740,115,717,536,110,414,506,741,876,298,915,951,746,
258,551,761,136,212,611,974,024,228,892,904,895,109,262,063,371,901,708,453,
977,057,365,465,214,006,425,985,709,633,107,719,361,131,243,328,534,099,642,
429,236,816,496,768,528,189,034,586,432,070,296,018,900,692,775,595,094,824,
711,981,306,957,226,276,949,532,785,017,710,041,590,780,014,636,973,689,176,
070,147,669,367,853,286,838,203,695,604,931,761,548,968,279,107,845,653,378,
708,226,426,933,532,938,337,806,279,107,269,566,919,898,118,187,360,994,093,
441,107,072,812,764,999,522,132,304,465,898,012,544,297,729,437,819,542,659,
413,747,323,456,789,570,217,951,703,868,608,088,385,197,201,181,697,965,771,
044,861,362,377,495,236,043,014,791,190,744,107,588,661,825,027,042,193,906,
311,752,582,062,368,653,375,840,192,419,747,705,608,683,871,851,823,393,131,
425,848,528,629,174,388,737,428,009,670,695,682,006,497,953,085,216,196,036,
095,603,837,126,560,543,418,167,749,248,514,520,955,339,659,021,740,623,333,
048,350,418,274,069,817,208,348,258,577,928,415,639,638,580,486,834,995,516,
683,738,159,804,527,023,977,627,348,083,254,130,121,952,946,303,424,281,160,
196,659,701,170,045,947,842,503,361,673,322,363,784,289,423,507,749,126,908,
485,403,950,147,722,139,253,123,820,498,677,686,588,272,511,336,571,195,064,
717,103,108,027,697,042,469,730,489,215,633,692,627,313,429,911,338,093,692,
126,392,589,785,097,434,227,697,000,560,518,025,899,554,728,420,564,839,994,
950,765,693,769,616,221,085,128,477,385,685,076,811,046,394,036,254,756,480,
552,657,793,994,545,783,418,154,382,279,022,054,918,725,740,763,609,052,833,
743,322,957,491,632,589,605,124,662,667,254,310,788,115,296,531,775,391,747,
985,607,993,002,614,337,860,514,699,147,824,006,036,763,889,937,097,546,601,
330,876,057,609,839,526,884,326,978,805,258,812,204,420,717,362,690,481,898,
480,262,038,916,830,687,097,159,636,398,230,631,716,500,804,494,023,130,093,
598,552,090,146,730,273,402,040,674,900,262,677,582,549,085,272,580,158,059,
552,077,311,511,139,699,098,089,167,238,325,500,775,236,912,739,534,380,969,
569,881,543,848,878,560,177,872,623,882,965,573,612,502,009,719,049,977,125,
808,598,470,265,154,650,937,857,397,527,068,508,258,652,106,729,493,436,244,
959,148,371,277,265,480,848,885,948,354,239,666,130,897,698,028,860,816,650,
195,641,785,697,716,023,369,092,336,824,257,359,922,098,722,869,893,565,847,
447,285,577,770,590,326,760,925,016,153,043,156,603,558,648,434,937,509,595,
791,559,036,635,982,315,376,907,543,575,221,668,883,441,422,154,004,201,145,
542,449,670,360,366,408,838,885,448,860,124,699,025,637,953,072,929,560,797,
331,364,023,302,978,591,373,261,105,490,532,165,531,063,318,461,368,383,892,
474,261,706,596,039,523,003,049,101,730,209,213,220,030,906,905,476,297,768,
720,206,184,463,213,226,213,665,032,248,072,865,379,368,827,194,071,582,938,
135,310,900,711,277,774,125,944,889,832,942,375,394,451,996,216,721,286,627,
334,738,206,440,867,119,792,571,395,206,243,818,460,378,009,041,188,521,939,
838,488,628,920,794,516,342,389,837,415,662,018,868,574,465,209,910,870,199,
317,139,063,229,947,459,028,955,371,177,812,182,191,997,235,176,726,593,969,
706,077,600,582,253,330,273,489,100,620,134,487,995,475,588,421,564,649,589,
788,798,846,344,264,959,452,200,013,143,985,391,907,294,849,487,031,180,290,
783,739,896,077,463,613,592,386,194,877,149,302,540,247,550,231,361,635,884,
451,835,744,683,707,344,909,240,787,859,115,013,603,612,320,252,806,726,970,
921,191,846,829,119,251,975,497,541,753,903,957,711,621,368,219,050,903,271,
622,442,208,798,055,494,044,695,437,259,613,373,446,928,535,952,238,457,408,
496,519,933,456,329,190,446,404,805,435,985,619,096,538,051,050,641,881,945,
239,830,552,075,359,924,651,212,764,847,920,993,357,762,659,799,566,468,406,
525,997,571,867,658,108,364,339,702,723,985,371,744,897,883,451,944,231,063,
854,195,983,368,467,344,238,870,823,017,106,289,608,923,528,538,603,317,515,
210,381,355,337,403,454,245,808,741,451,034,276,403,321,775,333,461,896,833,
595,158,046,531,730,701,289,725,168,875,514,706,605,669,111,456,238,752,986,
437,138,905,942,861,752,242,936,582,865,205,864,308,047,143,226,616,236,125,
447,146,517,145,967,979,460,518,085,694,669,756,829,048,287,066,693,626,933,
215,363,920,172,263,629,279,343,059,920,486,621,202,190,956,749,553,760,516,
641,878,461,148,440,056,555,810,029,956,287,562,232,502,239,358,284,283,950,
259,571,824,487,101,668,067,980,570,923,304,142,271,661,990,513,214,032,811,
108,424,125,570,897,550,526,764,725,780,293,155,157,388,027,475,953,079,149,
676,069,539,455,240,189,951,096,148,309,776,820,271,401,877,360,025,405,339,
983,011,883,734,208,812,001,742,757,936,094,045,233,542,191,153,010,046,585,
271,822,202,608,152,327,525,320,824,899,966,533,116,889,424,478,514,625,321,
546,281,488,918,382,444,274,365,986,461,101,764,496,181,802,220,760,651,475,
677,072,073,624,990,158,170,192,028,326,814,222,465,349,957,198,403,369,604,
383,540,047,708,271,900,206,639,346,052,486,128,185,472,467,244,303,230,366,
594,601,736,033,052,446,667,923,344,116,718,984,798,636,542,934,481,877,788,
921,259,886,948,586,844,766,188,380,502,784,289,081,639,566,324,857,301,260,
622,026,135,160,374,176,983,448,774,503,738,668,590,512,979,129,197,639,017,
179,296,139,189,782,491,209,930,711,154,813,624,830,568,648,405,893,642,146,
793,873,963,825,553,917,799,924,841,124,022,453,783,764,870,278,524,845,037,
461,129,181,851,636,769,459,849,186,238,285,442,622,553,790,218,175,976,134,
388,595,518,538,260,901,949,870,755,868,937,531,499,092,818,765,948,190,489,
676,224,503,956,513,590,344,870,707,274,725,240,037,842,013,590,586,049,991,
526,629,338,239,625,936,884,422,112,011,942,446,084,582,924,577,503,436,551,
714,057,401,692,647,328,708,448,347,884,431,467,706,128,909,747,572,454,107,
559,301,572,012,759,780,124,194,607,704,934,830,402,938,343,840,721,492,954,
107,619,617,822,717,039,148,334,724,614,267,630,572,590,968,603,260,846,237,
965,373,077,782,561,472,288,362,069,580,762,928,007,403,378,548,754,258,432,
001,413,671,181,563,007,123,911,065,234,699,861,044,886,975,679,871,374,938,
158,361,242,572,315,748,811,775,568,954,799,984,070,683,255,823,979,644,475,
970,511,133,804,521,090,933,226,676,823,135,415,115,078,449,415,774,478,795,
559,469,981,597,259,893,880,045,402,142,772,736,276,873,044,008,672,663,262,
400,825,804,846,791,147,932,874,601,033,450,697,362,529,505,322,876,959,617,
994,791,215,249,082,677,728,871,024,732,359,002,088,130,166,571,865,337,288,
085,371,053,804,869,234,299,574,390,583,019,404,913,922,600,572,955,980,765,
818,721,643,724,898,069,647,965,428,762,549,444,028,711,569,197,618,488,890,
108,856,611,699,590,942,187,330,852,770,038,863,931,492,854,189,313,608,377,
594,027,204,416,366,834,601,984,820,049,362,848,067,456,229,823,962,031,793,
103,573,079,532,554,248,005,180,226,929,196,953,370,164,675,674,807,753,915,
983,878,334,092,205,648,344,515,246,554,631,391,579,358,957,630,492,421,330,
531,615,230,131,847,223,226,329,675,246,045,701,252,543,013,434,424,484,450,
487,284,039,642,071,970,415,488,067,144,530,354,146,267,752,421,265,873,977,
795,922,891,974,313,510,829,690,646,301,481,579,591,071,609,439,585,158,340,
821,643,305,446,268,976,053,781,334,699,801,255,724,457,334,147,721,197,788,
025,455,797,155,557,433,603,581,194,564,547,561,322,007,984,264,358,133,310,
888,426,834,907,898,515,416,975,680,745,617,709,961,989,167,849,377,618,860,
446,967,945,663,513,868,168,144,710,808,012,983,792,250,358,260,449,592,500,
557,266,688,157,256,906,258,633,891,170,712,587,459,217,415,114,926,783,915,
382,222,445,355,395,847,583,199,322,179,709,580,065,868,651,676,441,142,878,
098,900,029,478,733,453,129,119,408,947,596,815,218,776,678,457,919,741,367,
776,898,467,588,697,609,650,751,428,444,834,714,622,896,927,510,746,377,182,
393,104,961,282,795,638,725,211,075,741,926,891,569,316,535,392,336,307,411,
642,557,190,718,861,410,944,804,319,795,143,758,667,689,481,017,237,855,318,
499,308,971,537,248,021,788,818,810,221,656,427,899,331,732,753,526,660,635,
998,522,220,592,095,624,753,093,264,661,438,921,832,671,314,770,367,762,214,
591,271,355,169,688,894,523,368,498,434,556,099,944,018,961,712,716,077,324,
428,551,357,060,385,174,793,471,991,165,926,281,465,651,522,536,759,727,214,
114,071,879,335,637,275,398,830,658,956,583,875,122,373,828,437,956,294,461,
038,762,420,457,188,094,364,650,368,103,780,318,735,295,318,749,485,238,525,
740,346,860,732,655,775,145,088,380,265,553,032,808,685,900,822,457,229,835,
048,091,349,293,700,282,205,606,566,169,853,205,915,917,524,761,837,768,120,
516,342,047,321,184,419,548,522,478,042,300,974,494,232,900,460,644,247,639,
652,268,627,551,428,626,114,060,229,442,626,939,822,319,479,471,228,437,681,
857,916,815,409,074,940,957,257,281,343,846,295,335,946,469,605,870,957,793,
487,985,366,445,368,143,572,229,076,811,306,578,927,227,354,084,146,544,087,
076,448,399,646,509,975,193,759,656,172,795,276,340,357,376,530,640,852,315,
368,199,213,833,839,360,488,568,817,093,828,514,651,809,848,188,001,856,185,
842,732,165,300,347,359,378,294,040,386,314,570,179,062,550,082,548,741,397,
706,134,074,252,928,348,940,333,013,262,127,726,449,511,463,209,677,937,886,
784,431,261,691,288,706,463,088,476,594,847,820,473,271,661,019,601,567,819,
079,252,300,623,438,749,730,054,929,411,168,215,992,752,790,368,265,482,043,
886,398,574,721,611,651,677,123,982,477,280,916,901,727,553,744,984,305,689,
194,823,992,077,243,015,216,205,521,730,792,586,731,173,069,462,430,845,461,
771,788,651,100,396,609,636,317,667,579,380,623,832,348,511,221,493,118,580,
991,164,407,851,060,696,802,006,411,481,003,584,209,465,274,993,869,092,774,
067,109,645,736,371,596,159,264,767,418,139,373,130,941,731,340,758,513,877,
750,311,426,647,883,285,239,374,093,479,269,329,108,045,092,113,901,019,389,
649,320,294,141,206,049,082,238,562,395,235,395,017,907,877,871,791,652,640,
492,182,571,925,015,169,348,243,552,858,064,030,604,523,654,502,426,848,587,
026,016,383,339,103,427,171,174,487,892,479,142,123,390,632,906,844,178,420,
621,776,916,925,057,985,531,748,037,231,816,454,056,455,724,177,148,723,975,
754,462,448,391,757,874,314,438,907,689,943,026,618,966,944,065,324,530,702,
545,920,985,081,221,123,088,624,774,545,576,152,725,521,838,129,409,647,888,
315,853,668,773,821,522,387,443,535,989,726,961,490,044,181,381,414,188,775,
411,109,925,317,142,712,840,143,740,428,953,353,903,073,237,722,149,274,699,
238,170,958,388,674,936,987,549,307,204,907,517,710,527,568,480,875,163,897,
882,481,676,309,986,072,934,188,488,056,659,599,370,998,519,007,888,697,265,
778,049,063,347,769,702,102,316,681,494,573,261,786,951,631,269,055,731,268,
583,833,706,435,385,125,456,679,013,271,800,333,545,773,475,967,606,877,624,
914,757,724,493,971,557,738,136,922,563,259,906,103,120,976,094,440,375,886,
364,435,778,902,794,981,851,609,588,961,723,412,185,550,507,922,749,825,125,
394,427,922,278,496,702,526,389,418,043,002,496,566,707,759,531,657,108,082,
794,787,227,916,236,237,873,153,525,342,061,172,052,261,795,877,179,188,569,
465,676,700,156,908,867,318,830,995,958,145,763,659,994,280,954,689,745,893,
425,543,621,985,255,971,786,878,922,929,925,188,878,936,495,905,046,507,738,
162,413,760,302,293,496,751,588,033,254,733,511,380,984,055,545,837,778,920,
707,182,385,005,160,053,537,887,940,433,694,515,476,138,714,095,631,986,997,
600,275,025,261,282,031,268,411,863,356,276,932,893,867,906,982,164,016,022,
638,846,274,197,552,155,560,223,928,841,435,447,954,590,090,776,180,415,483,
013,808,557,488,668,486,186,413,410,549,135,829,546,709,847,481,925,804,365,
777,366,366,046,072,241,186,080,680,860,878,610,705,714,546,540,643,774,397,
617,822,637,094,768,900,034,539,256,233,076,094,036,715,429,003,569,726,123,
129,418,031,366,524,752,039,310,024,398,100,773,199,019,237,074,049,467,735,
363,606,383,163,595,671,122,123,658,687,259,685,367,494,522,052,640,392,126,
197,866,235,303,753,286,225,018,906,324,643,291,641,880,804,558,207,021,532,
089,150,471,587,803,727,701,543,408,542,083,321,325,438,892,139,885,913,053,
669,565,451,959,702,053,876,419,184,250,102,230,894,480,736,800,381,995,888,
594,567,892,342,140,401,286,162,026,039,524,068,828,969,672,383,302,106,656,
574,926,132,968,542,059,577,054,254,822,028,576,058,656,695,726,896,364,081,
853,537,124,251,733,099,125,970,792,926,851,558,886,460,436,649,655,920,623,
940,119,652,610,088,021,074,105,466,166,463,200,777,589,766,638,793,830,985,
051,348,835,737,793,502,807,564,629,729,796,577,941,705,928,783,671,735,700,
063,548,399,823,842,481,517,896,036,494,679,112,702,976,004,904,821,740,167,
352,856,038,943,800,207,539,439,606,293,637,903,681,891,818,569,463,484,324,
206,173,316,195,159,711,666,586,301,971,974,033,517,654,555,335,142,058,585,
065,783,610,224,410,387,156,116,192,992,851,510,817,008,335,098,824,389,183,
114,903,567,819,182,106,240,214,198,303,056,967,671,883,694,228,450,653,066,
412,756,663,552,253,934,404,971,963,520,642,237,269,695,075,475,758,750,091,
428,538,749,476,695,991,259,367,495,098,648,061,155,508,671,430,107,348,095,
476,742,902,532,298,997,069,899,890,945,663,787,314,632,450,290,304,276,364,
962,147,289,830,432,800,655,813,194,144,435,716,642,334,528,548,980,404,439,
346,918,425,566,373,098,748,587,526,875,948,179,864,739,113,928,553,875,590,
718,524,456,893,275,648,938,490,292,626,931,781,348,946,438,732,922,824,007,
288,210,932,592,962,559,095,468,891,047,446,793,741,832,046,470,955,959,650,
537,819,961,808,356,752,513,605,695,708,910,733,842,869,973,106,382,449,707,
648,839,084,729,130,756,468,980,256,631,920,575,021,131,628,101,205,208,924,
952,498,301,375,569,522,759,134,102,139,119,818,650,902,112,814,044,404,291,
158,839,977,082,232,549,595,945,157,989,332,858,197,087,858,641,816,367,214,
868,760,730,979,995,457,329,453,524,429,769,166,602,779,133,943,986,859,410,
132,417,469,027,125,910,043,831,390,969,037,606,614,754,565,779,867,854,301,
251,985,935,880,686,176,823,963,629,664,350,747,427,432,005,531,930,383,864,
139,402,760,893,333,487,688,018,298,000,036,848,945,582,400,568,585,737,820,
549,304,505,163,344,481,171,468,862,056,644,737,552,549,349,244,033,747,220,
533,165,539,865,148,853,359,314,764,807,134,641,988,457,315,761,584,347,870,
593,838,379,049,513,054,788,455,829,965,394,340,524,166,514,040,311,258,472,
029,258,323,757,861,243,558,941,671,677,514,501,270,136,198,526,258,016,963,
849,107,625,052,699,681,966,859,292,423,568,250,424,049,583,448,438,871,584,
453,130,912,991,641,646,840,733,523,680,389,262,101,274,524,885,929,840,768,
071,865,502,515,483,591,999,742,903,760,743,151,512,198,506,805,297,270,404,
706,330,241,907,160,416,658,265,488,837,420,830,641,420,740,152,203,686,821,
997,240,208,464,575,522,800,713,280,441,395,020,200,908,367,183,259,451,019,
121,632,317,334,871,892,928,975,687,622,645,036,456,922,239,399,371,032,512,
254,367,060,589,134,125,995,573,375,322,552,526,803,671,123,897,479,192,883,
501,001,384,967,898,595,160,972,212,208,854,319,631,553,993,653,634,695,375,
545,304,791,516,188,992,002,725,438,740,052,874,894,978,953,462,740,274,998,
759,977,677,985,477,606,737,999,078,067,202,096,430,036,685,952,248,281,736,
846,802,286,277,191,552,055,875,909,466,338,286,628,823,295,175,915,611,151,
539,989,541,398,301,684,860,952,806,310,747,814,951,363,495,709,227,670,168,
885,498,552,533,564,526,291,461,667,301,173,455,078,178,882,845,005,266,732,
402,875,519,906,418,832,853,767,396,525,653,925,995,361,389,352,245,000,516,
502,034,589,902,387,605,291,896,407,839,234,198,200,395,553,064,596,517,424,
489,955,762,372,614,479,000,569,685,678,633,702,684,128,893,476,184,783,390,
755,161,118,458,592,155,862,270,062,935,602,558,975,053,571,386,877,548,416,
651,539,021,686,361,154,426,113,333,928,555,937,672,578,499,551,228,916,889,
107,940,563,463,261,553,262,672,365,934,518,645,511,756,378,678,234,931,168,
984,301,743,603,036,253,244,807,693,733,985,002,765,466,448,158,003,597,763,
563,387,823,104,547,671,710,173,092,619,114,081,649,084,650,897,318,495,848,
797,140,893,001,162,233,752,933,470,818,797,291,966,379,533,654,824,490,030,
166,014,144,396,514,161,365,665,401,332,384,171,983,972,514,379,463,439,272,
198,380,712,644,031,657,755,981,303,465,140,285,701,384,375,429,371,504,505,
230,328,719,988,239,143,528,669,144,470,793,769,773,273,386,520,630,066,251,
652,129,565,388,175,391,326,480,983,033,031,890,550,356,882,628,504,508,528,
190,407,520,364,088,258,777,503,257,937,854,604,993,962,755,138,624,107,482,
895,072,619,478,234,185,845,058,651,742,014,065,286,048,077,987,366,380,276,
043,584,096,211,175,546,248,847,635,662,644,199,498,808,008,462,162,792,121,
719,051,649,483,551,514,404,893,385,172,036,191,857,755,680,851,585,782,146,
494,408,685,720,959,333,097,883,067,688,445,309,529,969,141,704,123,446,124,
067,283,395,756,833,924,758,944,456,555,093,747,018,409,518,028,623,879,332,
507,847,603,769,200,300,538,017,189,905,211,071,131,501,646,314,667,114,109,
005,176,464,549,784,059,423,933,922,420,278,543,115,853,723,387,467,477,177,
984,050,143,020,253,813,178,974,938,489,061,935,267,506,386,682,250,915,813,
445,075,016,668,026,279,331,951,862,047,598,479,336,713,635,280,523,093,529,
751,160,584,688,902,405,303,706,092,434,512,705,209,689,128,344,850,960,366,
535,290,403,500,906,196,259,329,109,000,112,526,368,787,564,672,707,037,379,
994,807,917,710,941,521,581,566,149,694,142,781,909,869,284,688,571,028,011,
265,315,650,827,950,784,621,895,386,148,103,711,140,410,952,121,096,959,279,
055,646,621,392,918,974,178,528,780,645,006,059,735,041,634,553,547,325,335,
181,303,704,147,343,336,035,593,287,083,045,843,911,071,182,170,117,919,416,
485,946,496,872,819,117,668,756,263,781,183,776,602,325,165,109,614,974,216,
073,930,501,935,123,083,072,634,737,899,600,126,391,462,543,804,268,315,187,
626,507,493,887,494,008,735,124,032,040,299,702,908,849,863,916,900,674,802,
085,932,530,219,090,841,358,795,872,561,715,315,008,074,583,093,667,797,151,
326,358,010,737,487,263,371,650,233,084,837,833,959,987,480,820,390,073,058,
295,050,078,277,217,490,965,608,025,039,119,968,788,744,533,686,901,427,138,
089,174,851,574,713,933,403,104,903,290,045,668,750,826,347,068,260,214,785,
724,167,360,049,508,930,567,848,005,136,563,981,876,247,382,965,700,106,119,
916,829,570,889,764,627,319,063,144,351,801,530,336,678,008,729,612,223,079,
247,070,239,264,544,356,411,179,633,926,260,741,273,632,034,177,875,258,995,
176,073,870,053,810,981,349,676,080,843,148,949,600,237,500,762,734,309,938,
510,736,858,682,288,314,695,744,090,520,468,295,967,055,051,448,443,611,641,
283,703,227,678,882,648,405,050,633,539,134,066,975,110,656,194,071,085,187,
558,481,132,472,905,195,291,935,578,702,154,494,531,301,399,801,151,680,446,
500,280,445,344,459,111,511,600,702,235,086,521,250,754,037,151,673,880,495,
939,338,413,460,629,513,015,711,918,818,567,453,502,511,400,189,363,058,254,
362,669,314,261,838,822,861,710,131,896,091,109,021,052,961,503,548,576,780,
852,113,648,597,392,705,983,636,143,574,087,784,234,006,324,052,560,011,500,
654,860,640,092,073,657,841,713,085,914,233,805,858,387,853,155,039,458,268,
868,669,607,794,048,224,302,533,179,760,219,840,904,225,461,055,040,144,793,
953,061,790,476,698,412,935,155,221,873,191,860,007,058,885,370,039,116,124,
528,469,266,217,138,304,556,855,003,392,234,036,331,920,911,635,522,218,890,
835,967,276,949,527,055,987,563,706,998,050,235,934,900,774,042,300,842,364,
912,971,077,149,339,737,977,802,415,171,468,347,216,684,857,835,464,249,203,
152,974,206,252,491,061,000,227,913,378,309,465,945,303,086,985,092,769,941,
543,548,133,123,101,050,346,270,378,381,903,327,494,613,332,578,736,830,894,
786,673,975,938,575,503,434,453,096,293,153,535,215,618,257,753,630,272,138,
264,773,714,340,971,494,493,585,250,953,688,748,880,613,103,501,590,130,167,
074,211,381,876,226,827,116,896,172,414,648,336,766,270,850,332,777,273,308,
667,231,336,873,609,670,772,769,509,044,449,311,335,270,766,776,568,216,756,
924,944,154,132,254,009,589,685,424,691,053,188,876,635,555,542,633,486,684,
398,023,206,159,500,728,127,624,968,658,371,399,542,627,823,302,142,060,634,
109,171,890,237,811,891,111,547,984,098,154,723,392,253,392,632,132,088,402,
801,750,996,048,352,523,375,158,238,387,950,189,711,490,288,214,436,948,135,
761,118,803,282,956,799,211,666,862,986,410,162,743,644,722,714,551,404,947,
343,790,272,688,639,283,469,784,402,958,604,160,826,338,322,623,436,685,102,
665,302,438,758,296,580,227,194,581,577,432,480,594,604,684,616,227,301,121,
553,957,142,553,017,765,428,407,315,558,570,609,570,234,191,376,608,253,283,
271,970,490,457,613,168,088,837,784,724,566,063,543,059,232,910,605,163,747,
862,687,625,645,851,451,938,932,938,087,019,648,633,973,115,676,556,847,558,
019,139,604,647,750,749,068,202,270,193,502,196,833,215,781,913,632,884,474,
774,215,921,796,016,423,873,484,312,155,138,448,646,747,036,926,334,230,666,
746,154,847,209,994,884,883,968,268,374,101,148,962,069,176,419,261,256,888,
785,383,630,380,937,357,852,010,470,901,438,387,340,373,506,551,732,708,132,
944,949,505,515,667,077,621,463,728,184,755,053,229,532,304,214,206,500,419,
045,480,179,052,264,627,039,522,630,545,757,365,148,361,276,179,664,483,239,
455,503,458,248,878,435,617,295,304,240,431,425,596,841,007,453,171,221,232,
032,374,369,517,942,317,520,071,321,649,504,162,497,988,043,290,271,562,031,
131,922,822,567,338,882,137,459,811,249,246,348,061,889,657,770,225,289,333,
213,536,826,060,380,232,596,462,985,899,221,809,660,118,312,336,318,190,120,
286,514,414,536,199,671,573,227,026,099,670,942,892,847,635,471,554,831,009,
002,698,624,601,532,664,871,245,637,168,679,338,969,162,549,148,395,780,140,
095,457,088,000,497,424,628,583,991,673,716,670,281,247,428,965,784,058,157,
860,524,121,750,450,829,357,857,796,236,869,301,929,788,632,698,930,971,948,
364,769,445,162,312,466,319,385,796,826,836,608,964,803,313,246,116,198,639,
044,510,842,671,043,085,836,542,772,755,020,727,130,686,912,847,964,776,493,
312,305,533,126,242,450,373,776,363,532,173,039,151,981,687,987,202,159,667,
684,754,635,176,603,808,682,667,272,943,495,426,139,024,401,972,356,859,356,
405,167,701,696,164,981,462,712,900,004,228,644,203,586,233,178,070,922,038,
051,651,601,438,482,572,526,302,535,147,286,011,884,179,721,657,143,403,703,
836,435,404,189,376,567,102,057,942,272,443,206,321,589,760,091,246,584,154,
616,438,691,802,226,840,908,923,898,873,983,949,892,990,305,071,429,539,068,
196,437,416,957,125,095,671,201,711,670,083,166,546,303,737,813,762,833,635,
660,415,854,567,778,465,058,124,627,842,119,901,461,428,665,714,175,245,211,
312,847,717,770,366,178,781,777,161,632,269,959,870,856,681,539,919,473,064,
771,665,212,622,674,400,773,290,020,713,911,068,858,101,010,196,206,062,516,
928,826,613,010,821,732,654,772,511,997,053,672,883,538,069,323,053,875,021,
107,576,890,913,382,103,602,056,807,600,813,226,154,648,075,437,528,962,620,
385,762,786,658,186,248,322,248,949,700,405,704,132,642,120,511,364,138,708,
247,226,976,517,129,969,256,996,100,168,717,829,655,492,382,068,540,409,813,
401,252,651,162,535,471,377,726,336,197,741,038,512,080,955,283,642,263,159,
846,597,670,821,717,769,395,622,395,356,559,143,958,739,480,768,504,773,695,
543,742,242,300,067,117,782,057,659,078,926,375,274,310,486,901,471,901,854,
257,038,364,890,607,739,048,522,860,693,002,106,122,921,010,299,425,602,632,
864,768,163,960,587,991,488,454,620,266,495,149,952,699,063,226,307,682,115,
945,580,331,041,970,032,714,071,658,851,436,904,241,045,477,069,498,594,235,
687,316,574,697,443,911,982,112,209,160,710,518,879,429,408,955,558,162,238,
162,502,769,789,067,071,164,353,049,384,328,738,638,687,041,629,581,311,215,
600,447,241,768,935,105,540,511,380,329,629,084,328,602,375,707,114,052,239,
871,858,802,563,151,250,516,097,203,164,364,054,445,687,185,881,796,218,430,
921,718,089,064,394,565,570,443,373,953,214,272,592,936,047,697,047,224,066,
528,345,356,259,843,322,663,837,618,628,376,811,927,922,534,419,247,030,425,
893,760,174,425,720,751,091,637,086,439,986,043,107,984,605,273,832,056,528,
058,116,495,993,831,041,166,459,504,653,859,773,837,430,534,376,945,106,015,
660,035,540,676,166,081,149,955,492,057,753,132,504,646,295,827,419,878,394,
544,522,516,056,345,609,389,569,041,908,360,316,063,590,761,574,788,203,280,
503,158,763,082,733,119,672,149,029,043,383,636,405,966,270,427,503,114,941,
206,510,809,762,709,355,660,341,637,987,908,122,311,996,275,918,461,115,264,
803,323,354,967,600,641,075,145,482,338,244,684,990,576,306,138,040,684,438,
303,317,285,572,079,505,963,926,533,240,566,984,378,043,820,255,254,686,465,
717,420,461,286,469,273,335,007,201,118,904,022,126,620,366,452,737,321,013,
752,770,407,803,780,925,978,782,725,051,368,169,365,999,632,547,853,024,411,
209,806,748,231,834,885,875,933,466,030,801,390,521,104,094,328,668,161,156,
479,492,193,925,274,415,308,162,690,956,837,541,770,292,781,711,165,518,305,
764,818,867,894,416,147,031,795,910,038,415,001,549,320,888,264,961,830,023,
641,198,252,986,755,921,168,732,105,593,536,568,880,910,191,160,896,777,579,
378,277,896,030,886,319,094,746,543,207,718,992,097,040,261,818,713,814,970,
474,841,206,735,163,766,957,201,905,396,368,339,066,889,657,588,975,424,761,
870,525,187,657,313,610,563,591,078,489,558,610,826,005,423,153,537,859,282,
780,450,434,411,164,173,198,528,403,407,559,660,756,418,194,907,435,338,165,
963,223,480,621,870,814,761,473,585,498,164,138,360,033,629,207,394,741,409,
104,316,856,761,893,914,149,512,035,318,070,369,079,379,393,350,463,336,734,
765,022,963,573,744,046,961,901,872,308,032,352,640,093,003,499,102,758,320,
388,016,577,492,646,928,489,521,762,314,713,660,100,786,765,492,078,651,054,
794,754,920,367,714,311,659,124,565,263,242,485,128,804,108,484,291,282,716,
027,323,285,968,188,336,617,206,608,036,742,472,655,069,117,610,723,364,764,
978,449,756,346,057,962,698,828,588,738,048,248,287,582,710,944,591,030,482,
936,618,124,680,771,872,788,785,246,862,223,574,872,242,310,017,698,043,585,
998,168,319,947,911,198,300,531,088,405,732,319,331,239,866,330,335,124,362,
719,869,005,612,954,455,877,808,145,224,183,828,844,680,713,266,797,804,977,
069,863,629,978,440,336,913,259,594,882,769,266,567,879,654,700,242,664,780,
896,147,510,890,291,516,866,231,109,059,821,842,667,756,459,417,052,785,538,
470,124,328,593,409,467,400,675,294,165,840,476,411,592,086,627,790,256,537,
364,836,731,981,571,019,186,490,552,155,500,780,379,184,129,912,070,174,532,
938,646,377,159,198,316,598,538,714,972,662,475,093,528,728,961,564,324,189,
998,053,853,858,677,035,257,984,686,220,141,516,087,426,373,930,926,505,986,
640,550,725,624,378,041,323,720,204,978,999,509,889,424,734,151,936,336,143,
237,010,324,344,033,975,827,304,911,308,490,570,812,364,068,415,457,307,859,
351,092,222,916,392,579,991,665,405,677,017,906,758,617,491,809,438,432,727,
126,343,806,148,814,984,249,982,254,975,863,391,023,718,247,437,926,319,084,
416,334,133,637,804,470,040,692,801,063,694,062,856,373,987,831,423,669,608,
335,473,557,491,677,758,191,792,422,439,897,741,013,927,437,557,853,556,036,
786,467,292,030,188,705,257,789,635,428,393,109,226,288,252,942,920,117,493,
545,325,024,458,947,634,494,579,003,326,127,393,953,641,377,023,682,759,875,
362,023,356,140,435,536,656,050,252,225,277,476,658,640,554,130,556,463,656,
463,693,443,050,042,325,859,979,851,901,376,934,631,046,703,884,275,676,394,
598,954,784,362,449,416,867,374,611,751,989,163,379,511,041,053,735,496,074,
350,252,372,839,116,607,909,177,802,054,855,905,712,479,274,018,971,750,154,
175,575,253,313,099,576,459,723,107,359,110,064,128,512,977,267,272,190,174,
897,662,342,663,670,045,561,373,604,468,214,750,802,078,298,229,866,785,913,
801,866,640,349,306,036,044,147,371,450,424,615,977,985,697,176,321,125,656,
267,589,099,735,100,571,570,819,850,090,856,558,572,326,162,784,530,998,544,
971,402,949,592,964,762,333,791,289,564,172,304,994,572,064,192,156,693,362,
509,521,011,393,304,417,545,537,231,110,516,955,469,922,232,351,239,342,152,
191,407,245,636,187,378,354,145,787,703,167,713,942,306,648,478,768,560,941,
047,263,997,821,533,727,837,203,179,910,630,439,111,344,704,763,475,062,367,
760,208,930,604,948,470,891,325,269,095,427,275,269,809,831,109,114,350,666,
884,526,307,896,357,306,816,066,991,970,118,322,116,836,116,891,442,510,805,
480,252,302,259,393,123,547,855,082,160,479,947,964,701,675,300,606,286,947,
627,353,925,801,229,972,214,124,939,733,747,289,734,485,895,582,628,431,219,
446,871,130,826,309,621,093,227,220,261,962,455,471,876,363,542,128,433,650,
063,890,301,100,418,573,803,721,292,912,770,330,214,968,445,984,461,505,777,
865,678,567,304,520,875,370,697,240,515,022,000,316,690,082,047,607,514,190,
743,859,842,937,003,863,803,839,859,564,693,750,280,156,142,165,656,773,415,
278,707,153,838,514,322,962,955,068,084,238,366,082,660,235,895,480,860,632,
629,074,210,421,226,056,014,582,719,800,792,635,644,121,951,640,590,309,819,
348,650,665,099,625,248,213,388,620,640,218,802,087,599,706,768,585,769,847,
902,600,865,036,950,991,421,928,483,862,608,712,888,085,933,232,907,243,242,
457,905,308,034,347,316,557,172,228,146,491,409,629,877,208,938,839,642,943,
034,509,591,324,628,182,661,740,001,621,098,669,337,644,885,791,374,662,026,
195,784,328,483,546,847,932,847,278,554,277,049,730,192,837,269,359,108,922,
616,986,326,304,656,000,848,721,332,074,290,579,359,305,341,610,447,334,234,
379,810,238,018,264,098,090,559,968,787,022,344,700,479,619,993,410,258,807,
137,882,156,238,557,676,050,263,994,883,199,384,851,714,304,146,461,199,004,
287,921,081,365,693,075,263,178,885,600,833,038,549,169,714,137,904,361,033,
028,084,406,585,227,974,481,370,114,561,105,660,951,335,489,511,788,214,182,
468,229,986,848,560,467,145,548,270,659,639,941,878,942,830,097,864,988,186,
607,928,199,288,244,535,355,452,810,964,186,290,847,580,302,665,188,130,416,
307,918,509,872,258,579,488,729,802,061,251,529,804,867,288,521,562,450,523,
986,298,405,767,951,717,109,548,888,721,915,527,191,872,124,512,576,630,520,
812,331,474,077,324,903,448,169,313,208,916,142,050,693,978,734,833,424,558,
813,971,439,129,099,426,312,306,414,064,471,405,282,930,812,596,291,938,545,
042,242,209,857,207,004,752,518,259,764,537,847,497,051,207,954,724,330,909,
368,601,700,274,715,257,486,923,514,816,821,412,838,962,902,400,096,719,283,
592,028,174,637,831,500,089,375,456,390,425,540,256,617,764,877,200,601,819,
888,106,778,151,074,669,806,167,993,758,160,294,931,083,307,843,106,109,455,
042,023,559,196,178,997,312,257,584,405,598,389,422,240,050,331,540,064,408,
761,585,635,190,249,536,522,438,312,795,748,422,777,309,337,687,298,331,731,
329,083,748,341,122,597,557,809,034,180,360,505,458,905,241,431,985,400,936,
368,624,241,672,926,386,141,352,125,002,213,723,973,609,826,857,763,549,904,
580,336,666,061,695,601,489,849,826,401,449,399,121,619,305,235,345,480,842,
288,006,934,568,667,270,763,187,438,428,069,413,931,244,980,347,853,818,321,
237,631,422,859,637,277,033,671,965,864,375,109,078,998,302,186,564,632,014,
625,194,347,997,585,858,760,004,853,369,170,268,873,550,902,399,771,092,128,
451,148,612,929,827,374,742,339,597,754,432,054,125,373,526,340,142,425,053,
559,484,821,637,148,712,290,514,550,474,044,810,589,008,972,774,042,268,227,
954,100,941,706,310,835,793,900,477,247,570,044,628,427,119,877,620,143,197,
307,502,124,262,974,952,811,168,938,670,020,757,696,473,841,606,828,648,201,
068,874,604,703,514,666,574,430,970,844,672,064,961,549,331,531,050,740,704,
363,704,273,903,653,735,744,268,350,984,734,509,761,663,030,702,763,935,917,
355,947,390,825,435,158,364,859,956,381,468,869,502,088,796,441,535,963,810,
494,931,967,268,209,838,999,266,567,148,839,159,878,251,332,638,154,897,014,
091,178,164,351,364,614,344,386,048,785,245,303,955,154,057,187,257,388,527,
014,950,057,124,901,180,252,367,937,543,488,627,150,780,347,159,584,460,039,
078,931,309,583,415,814,700,972,602,590,371,574,980,900,413,903,945,367,273,
752,146,591,489,206,391,147,529,226,251,506,762,197,939,601,993,335,952,246,
630,336,302,075,782,040,326,627,390,622,115,546,564,279,451,250,540,757,169,
581,644,853,740,098,242,138,477,888,426,979,714,565,090,162,778,841,452,433,
840,473,075,168,812,376,759,385,868,190,915,204,929,634,665,172,841,767,731,
768,411,100,873,514,496,604,024,884,982,902,226,699,013,820,742,507,106,550,
301,846,096,083,877,373,883,882,749,755,979,008,147,070,849,866,051,599,874,
141,418,416,667,167,515,993,894,031,659,137,787,711,878,928,247,469,716,569,
642,876,317,071,390,685,407,665,064,021,514,517,278,559,542,434,013,894,010,
709,863,965,011,620,174,405,241,080,374,672,115,838,375,219,314,018,762,350,
455,308,214,045,455,476,937,990,956,092,855,505,036,326,253,560,286,687,090,
193,198,511,808,477,552,512,165,519,563,609,951,954,906,609,171,609,984,794,
763,691,851,084,982,729,641,306,813,600,286,646,947,831,764,784,279,107,738,
847,480,450,406,980,550,430,045,097,694,631,255,134,738,564,317,091,396,282,
134,078,648,802,204,418,395,590,975,936,729,708,286,768,272,503,935,534,973,
275,702,772,164,104,413,842,371,745,409,222,265,798,744,220,410,685,873,166,
632,646,488,786,406,815,776,615,277,751,748,582,878,179,618,120,568,661,925,
797,874,682,776,248,103,206,869,432,137,808,047,497,547,231,976,152,387,658,
009,309,335,126,637,852,228,671,520,850,931,316,388,000,614,014,486,429,091,
645,463,408,968,294,259,096,465,498,540,489,682,578,976,515,193,600,773,354,
683,227,948,975,494,034,115,846,909,697,141,623,445,012,926,487,192,236,389,
194,027,246,850,003,712,520,246,936,255,196,037,683,671,058,389,459,893,599,
552,801,859,610,496,387,895,706,351,568,485,629,006,435,609,808,078,861,310,
734,591,032,643,593,330,041,779,765,201,486,687,951,394,754,499,465,841,271,
845,482,551,182,725,731,331,838,767,303,355,070,761,594,017,699,385,965,485,
498,384,598,360,819,551,157,499,870,983,574,706,501,193,504,135,211,819,749,
480,226,020,095,317,848,266,334,390,746,854,261,121,225,021,120,934,976,390,
041,654,033,081,109,969,869,946,289,622,863,696,836,104,558,127,691,522,630,
823,170,130,652,166,089,453,754,216,038,199,485,547,313,308,263,879,085,320,
969,964,150,039,268,352,483,121,533,673,888,312,850,011,269,003,304,896,585,
577,929,621,547,177,984,075,660,121,528,608,975,088,916,066,507,918,881,189,
844,767,499,516,344,623,919,662,396,823,213,797,020,054,345,947,763,242,403,
201,353,850,556,645,924,719,832,487,334,318,915,845,872,262,111,652,109,178,
210,809,089,055,933,841,978,257,356,367,180,779,680,558,796,995,489,826,450,
336,046,504,383,257,072,277,277,340,479,397,019,178,863,553,531,294,923,763,
821,714,425,173,250,903,485,105,263,016,358,538,403,572,559,133,294,234,316,
676,887,621,202,300,951,830,816,921,148,113,689,751,340,012,409,044,016,933,
186,094,164,560,221,436,141,674,569,284,410,476,402,870,849,264,798,380,857,
171,097,886,808,153,561,242,301,239,600,942,001,527,475,276,005,258,298,228,
370,922,618,513,674,827,980,372,000,259,050,636,269,195,530,581,618,674,110,
345,953,060,892,790,206,039,964,604,268,791,086,466,424,068,804,382,858,186,
408,132,093,161,524,825,803,827,292,309,787,526,257,617,007,176,582,465,950,
243,934,905,725,242,941,325,207,117,757,792,604,631,645,037,702,513,754,070,
564,400,518,619,042,034,279,939,243,294,185,314,390,725,289,965,071,397,683,
011,043,505,547,479,848,586,843,054,965,355,865,978,230,585,992,506,653,424,
127,286,672,017,237,196,928,101,053,644,565,132,677,130,265,966,504,043,343,
523,173,230,562,285,864,822,722,707,666,105,957,771,880,132,651,504,890,128,
146,808,156,989,668,035,835,151,211,205,883,007,050,458,421,137,226,433,621,
513,517,739,235,904,974,157,655,350,447,004,469,353,858,151,528,242,430,971,
220,369,418,741,257,205,347,751,445,948,407,603,854,093,507,742,461,175,300,
030,385,458,999,000,183,527,703,399,911,166,431,051,787,962,216,426,061,912,
099,230,879,413,415,687,753,966,236,845,693,113,329,989,587,296,822,960,632,
374,669,292,167,706,829,785,834,962,632,379,119,429,446,589,032,512,068,744,
964,017,647,856,865,452,160,693,283,599,690,853,400,155,434,875,914,039,394,
425,623,366,480,555,379,627,889,431,769,086,371,641,498,306,630,484,258,222,
560,001,587,115,828,545,543,165,064,737,788,259,249,636,558,527,762,726,502,
099,489,358,306,078,181,365,662,001,251,202,452,032,973,936,394,416,749,148,
113,173,788,573,109,767,631,201,635,185,023,418,834,817,070,946,639,808,685,
222,186,714,254,436,314,183,629,507,774,394,715,814,871,997,024,195,642,945,
495,844,326,524,194,739,716,285,739,010,138,681,118,077,647,559,830,029,806,
338,794,527,554,393,200,281,090,881,351,152,189,261,097,190,497,834,667,811,
812,218,523,511,182,645,277,201,579,261,769,241,712,869,633,384,145,945,323,
457,775,098,593,973,406,275,368,534,691,902,371,719,946,980,040,786,670,308,
681,457,410,152,254,234,343,280,137,133,874,772,971,812,479,934,486,703,077,
237,006,309,705,982,328,825,623,359,125,599,602,146,153,140,219,694,813,421,
371,444,765,239,009,161,051,925,376,576,309,325,054,390,238,129,443,386,711,
761,842,886,200,760,746,228,992,523,211,967,006,624,744,911,486,606,921,430,
094,030,348,607,025,949,438,239,211,426,681,766,924,726,351,837,643,080,984,
515,161,618,510,911,318,528,431,142,540,473,710,174,857,367,289,707,898,973,
067,351,284,031,972,458,657,017,652,859,926,552,892,718,447,592,415,443,175,
477,803,586,604,640,838,278,382,957,147,343,784,962,962,011,607,701,947,022,
998,284,412,500,598,408,383,153,113,474,416,283,795,449,155,254,963,299,351,
194,755,362,004,544,321,014,783,433,762,227,248,730,623,949,462,236,501,604,
781,599,178,145,896,406,316,598,702,671,513,108,086,662,108,534,713,249,028,
642,503,534,444,898,942,306,560,682,335,195,002,969,264,203,895,354,365,342,
515,563,502,545,235,836,623,784,978,387,314,347,152,968,319,725,542,347,240,
730,032,192,018,576,555,168,965,834,286,797,511,191,686,997,898,237,012,554,
220,194,182,992,989,599,241,437,385,188,403,230,029,944,525,514,853,850,531,
572,809,038,710,535,856,752,700,761,518,980,006,490,227,631,819,037,859,303,
107,330,584,960,794,426,016,968,174,672,836,243,866,545,027,984,499,077,315,
588,961,149,857,809,193,914,690,792,381,647,094,167,470,537,733,633,822,495,
298,497,038,519,889,218,470,485,270,252,372,679,355,865,892,892,440,088,235,
477,567,645,325,570,349,590,634,960,730,667,835,234,993,648,648,447,662,750,
083,410,372,089,275,437,356,232,179,620,842,472,766,669,543,590,673,006,810,
789,517,640,011,272,403,106,916,820,785,923,949,706,067,782,206,266,261,912,
250,428,945,646,081,242,849,248,059,899,248,501,197,741,610,784,645,856,057,
003,673,014,599,037,903,805,339,996,048,738,786,808,315,306,595,942,018,927,
110,937,577,706,189,570,470,681,598,818,180,245,039,285,725,084,659,805,311,
312,242,171,029,944,772,710,315,569,810,285,428,599,815,452,622,636,153,320,
265,539,080,447,215,919,083,482,122,141,569,029,820,001,963,209,496,552,654,
374,328,182,050,806,546,009,780,642,885,037,158,597,568,730,954,979,031,544,
430,119,504,046,445,269,195,264,728,466,515,852,032,003,485,806,119,746,804,
260,801,174,721,626,954,329,867,810,077,481,665,152,716,760,578,090,420,231,
422,132,814,893,447,699,757,799,357,701,207,123,346,545,664,138,232,838,460,
922,700,371,692,143,696,019,685,487,893,002,837,119,228,439,942,803,172,321,
362,490,622,403,441,412,919,279,876,835,959,419,189,524,794,917,798,808,924,
340,936,669,188,185,037,440,472,149,837,947,135,779,543,794,080,329,671,260,
168,092,254,000,335,566,557,904,753,577,928,603,150,391,593,599,392,575,605,
212,796,427,299,059,729,828,325,057,741,672,218,717,893,993,432,993,342,463,
394,526,172,075,910,425,219,396,159,865,824,844,870,552,250,539,763,973,408,
537,248,547,801,250,702,613,605,785,706,503,504,939,167,117,775,973,092,935,
651,088,636,024,153,599,847,376,888,692,381,561,271,454,565,543,514,911,855,
152,855,793,240,868,952,897,943,808,961,760,898,850,493,304,079,452,568,847,
206,823,127,539,001,776,304,162,954,123,337,093,507,458,838,921,736,498,757,
508,206,387,388,418,624,413,451,552,459,203,252,959,997,479,358,425,730,129,
089,929,133,231,002,174,477,954,113,243,914,764,128,234,116,690,441,976,049,
558,338,758,252,530,018,195,410,705,048,381,837,779,289,700,023,140,089,469,
026,933,427,103,496,976,557,653,444,421,071,782,638,585,600,458,903,891,539,
129,216,225,015,817,461,032,270,976,556,953,246,200,325,237,227,610,595,969,
513,385,570,022,998,385,696,038,170,536,765,918,533,574,776,495,688,422,867,
802,613,424,542,468,515,878,636,154,140,639,119,292,577,807,083,950,409,344,
399,796,886,852,966,752,818,245,818,462,579,907,169,556,826,587,941,515,429,
135,115,426,097,213,387,129,942,167,038,163,840,591,836,541,563,943,245,250,
083,543,183,127,091,594,202,887,415,496,259,502,391,741,425,732,986,662,796,
370,818,999,172,907,841,616,885,728,186,659,986,651,031,113,887,340,444,527,
167,488,345,479,299,124,099,560,188,036,634,490,198,175,828,544,448,254,068,
316,159,739,866,155,823,973,029,729,333,338,846,962,300,788,817,847,178,827,
786,808,203,092,769,964,466,688,843,720,708,741,284,530,066,686,900,724,310,
722,627,206,151,588,970,382,536,022,530,928,080,545,255,131,520,054,139,204,
796,136,043,451,573,815,508,012,741,716,437,985,932,405,601,397,256,822,051,
093,000,618,535,634,374,672,310,699,770,631,622,211,344,965,497,383,151,585,
702,789,883,506,434,996,659,643,460,355,361,002,823,241,396,798,730,655,922,
566,042,452,187,160,082,596,388,292,382,857,666,200,183,656,655,145,213,677,
470,327,591,638,531,197,405,850,228,733,243,167,279,395,753,995,852,250,947,
105,677,932,581,297,282,097,968,055,467,028,463,789,505,349,389,045,372,463,
855,242,174,084,977,117,835,521,104,696,293,345,460,510,001,367,894,437,175,
921,050,010,935,598,410,024,418,244,532,496,440,395,031,000,628,741,898,934,
199,017,224,157,624,332,716,774,715,625,324,994,937,936,024,600,272,086,775,
374,130,812,243,346,088,038,920,285,661,836,359,598,933,213,653,057,716,025,
766,260,915,455,493,714,094,814,002,176,024,165,292,564,935,894,702,763,468,
758,810,871,047,548,094,230,359,361,428,998,317,670,074,557,928,733,348,858,
803,302,480,801,078,748,400,152,545,505,543,506,521,332,879,397,824,588,507,
947,511,196,812,106,077,815,082,058,760,414,116,854,770,621,199,219,911,779,
887,197,471,827,749,432,572,499,994,932,072,905,981,133,228,553,664,274,981,
465,328,346,828,081,400,727,269,565,921,833,807,316,560,963,923,587,593,541,
169,376,362,795,724,574,587,980,245,724,371,730,346,340,326,734,358,275,297,
347,365,828,664,861,902,589,850,339,715,462,568,755,488,264,675,302,323,076,
911,945,659,265,697,427,090,158,207,011,246,273,281,555,511,717,238,254,634,
416,617,389,353,851,949,694,791,976,695,952,438,036,369,133,067,275,631,561,
191,539,500,123,080,139,408,452,894,669,500,429,755,371,981,446,169,865,767,
383,481,064,221,060,052,367,561,856,586,882,794,462,135,236,532,367,586,955,
192,001,573,718,468,584,476,959,479,305,689,681,275,145,241,481,386,931,547,
857,096,291,150,254,426,477,369,119,951,804,320,146,517,839,709,184,370,074,
905,307,620,783,695,770,534,040,242,170,384,344,220,488,856,371,916,517,889,
324,482,659,418,209,067,884,615,469,809,492,763,547,016,535,012,904,992,959,
107,976,280,579,858,780,909,420,240,865,386,075,021,245,339,222,186,772,181,
701,451,018,787,977,217,582,183,984,091,633,252,908,023,210,998,158,209,239,
635,049,144,566,381,866,734,000,850,603,934,835,026,878,518,960,202,730,982,
326,883,139,972,428,835,093,456,521,557,955,765,657,167,245,876,760,414,995,
024,220,727,782,417,241,829,436,679,446,317,246,007,976,157,404,131,618,132,
272,117,187,205,754,928,877,272,634,758,120,999,405,755,237,166,522,608,212,
420,462,908,295,170,007,079,057,303,039,614,760,174,961,587,666,496,019,506,
541,011,328,418,780,231,917,019,851,316,354,641,746,613,978,256,791,457,612,
549,743,353,898,652,117,309,068,876,067,449,909,952,583,898,403,627,830,005,
588,211,464,188,828,413,192,859,708,256,225,196,945,674,677,113,066,594,933,
037,674,626,246,715,798,194,362,626,224,406,619,861,999,338,979,241,293,614,
667,699,805,968,861,752,763,228,918,812,963,097,075,502,521,411,180,729,302,
941,328,162,224,563,016,035,351,581,091,850,849,306,217,381,836,581,304,438,
892,132,083,952,237,693,343,427,719,545,886,555,220,626,111,398,634,882,478,
273,231,918,717,077,096,637,975,659,127,678,573,341,753,674,958,741,605,243,
778,816,560,001,707,359,242,265,025,758,540,547,045,936,731,775,167,185,618,
077,748,919,769,728,693,942,413,191,752,318,100,736,648,058,726,415,842,571,
590,865,465,201,381,209,608,049,851,068,775,658,618,820,778,524,691,738,404,
259,540,533,056,955,084,163,040,111,300,846,723,846,265,303,244,123,553,644,
796,475,796,751,454,907,406,265,407,019,518,707,530,078,845,997,580,600,260,
828,890,619,581,451,477,991,431,999,244,863,998,915,940,722,065,017,722,370,
673,410,688,436,169,194,171,083,143,117,594,140,685,341,302,972,830,219,362,
395,715,629,675,115,561,663,752,089,783,038,445,995,160,890,540,087,044,283,
081,466,139,686,858,884,298,851,510,154,376,488,140,061,599,214,157,895,281,
804,419,393,086,936,870,822,378,966,800,542,863,803,836,690,348,842,167,360,
172,529,231,838,127,511,545,319,363,901,222,142,227,505,878,638,217,437,250,
217,124,072,579,937,278,620,926,261,457,094,951,666,714,241,646,312,479,237,
347,086,385,888,107,883,626,424,674,753,203,325,328,563,126,123,747,254,185,
335,972,877,913,307,771,515,017,770,963,547,583,986,764,306,407,021,352,274,
275,002,708,153,340,635,670,418,865,747,463,106,920,456,241,239,160,363,686,
580,467,780,342,959,668,162,201,114,572,544,611,691,273,014,960,863,150,923,
175,121,204,856,181,692,667,442,446,960,589,772,913,707,112,870,487,745,100,
286,223,057,377,530,657,723,164,824,554,314,700,260,079,044,800,008,632,516,
826,400,196,857,268,877,476,387,066,421,368,733,061,741,464,799,331,899,917,
834,204,933,358,143,238,644,285,562,159,424,566,395,173,722,959,154,910,681,
221,152,997,495,686,020,728,849,255,392,559,309,941,865,295,765,136,157,821,
896,818,244,951,768,253,981,038,060,902,510,580,308,928,123,849,648,607,853,
519,189,426,339,682,577,693,707,283,772,163,085,221,247,730,914,073,810,470,
567,666,510,710,260,083,359,847,175,980,620,050,111,475,807,978,490,458,616,
159,385,833,365,976,492,456,370,985,519,170,083,552,615,831,403,406,446,825,
627,055,128,695,718,067,632,737,443,472,994,652,369,123,550,301,853,084,345,
296,573,199,062,223,884,800,256,461,839,313,104,901,043,563,749,719,323,789,
215,362,566,715,217,552,165,572,573,253,708,111,894,553,569,028,895,573,383,
973,021,874,496,776,284,058,363,687,322,776,559,744,335,529,583,913,190,638,
933,490,139,604,804,910,775,865,692,818,247,026,506,689,439,506,135,272,661,
453,320,190,990,487,639,676,447,585,046,386,618,970,497,418,930,646,687,366,
501,361,313,723,584,459,514,219,084,098,476,009,970,293,265,060,158,056,206,
364,206,098,253,167,561,697,828,728,237,413,039,608,034,500,788,603,586,671,
075,992,449,101,421,545,223,888,316,754,060,052,144,755,966,515,021,717,037,
667,727,684,307,893,835,983,209,781,254,041,298,725,516,319,658,085,319,040,
444,134,657,377,575,135,725,366,459,530,092,429,563,664,175,031,270,983,641,
135,970,320,826,348,097,174,815,642,266,398,723,362,654,308,760,561,701,158,
661,908,473,993,817,704,790,507,417,452,437,634,289,865,980,838,229,420,929,
062,156,408,711,589,687,808,769,524,850,580,540,896,400,921,713,826,497,025,
060,277,919,508,415,773,112,921,004,457,019,516,293,289,207,665,547,875,617,
629,898,158,849,707,834,123,641,860,564,462,851,398,149,460,770,350,773,762,
141,660,573,257,382,625,613,249,808,456,294,046,635,354,672,850,140,261,831,
396,553,150,105,398,808,901,731,722,104,861,797,619,106,582,851,644,180,600,
720,471,280,653,193,372,876,490,729,943,198,959,777,297,252,012,703,306,329,
522,772,161,069,799,472,848,979,986,706,861,853,682,255,031,073,114,930,117,
030,666,886,346,973,153,266,255,781,730,029,361,042,003,794,324,238,859,231,
025,866,702,983,828,726,446,046,094,356,184,888,481,001,322,340,769,831,908,
370,981,695,169,374,454,974,512,742,971,713,484,564,003,753,211,807,380,191,
895,293,757,244,966,388,213,744,665,537,282,147,927,294,961,204,102,576,865,
908,531,842,210,649,199,120,222,111,506,635,055,560,341,970,993,668,134,085,
107,395,923,257,261,641,142,360,933,235,545,034,088,996,065,154,090,086,167,
668,709,529,318,880,199,354,083,002,594,256,637,904,560,575,193,686,784,435,
218,574,082,469,716,070,531,870,312,099,929,819,172,013,471,494,739,410,222,
905,381,226,614,625,293,812,252,421,638,361,249,927,262,810,618,446,490,481,
092,390,360,027,388,203,058,365,094,695,227,744,181,238,703,427,875,201,930,
654,729,050,421,003,260,064,977,432,075,959,120,880,164,619,948,589,429,710,
717,661,373,086,271,498,571,111,279,991,065,040,600,068,586,967,232,665,193,
568,684,332,363,929,477,245,757,504,752,505,756,831,321,390,863,780,478,041,
764,322,419,951,077,217,306,998,447,102,292,805,643,446,268,759,864,281,199,
057,699,848,473,615,802,489,116,209,293,465,716,571,057,286,808,032,961,561,
971,108,638,793,547,446,693,009,836,238,214,525,929,383,272,113,676,523,424,
873,867,663,758,940,801,722,443,644,884,834,431,314,391,408,257,842,785,728,
219,002,327,301,385,857,580,573,874,676,993,544,218,869,793,458,415,939,903,
392,912,278,215,877,412,416,454,387,784,152,972,215,215,420,942,537,538,545,
846,989,274,642,178,540,380,960,185,491,557,723,447,925,412,726,862,887,297,
144,382,038,311,075,938,492,858,631,613,520,283,992,044,918,895,566,848,022,
952,605,667,816,873,931,724,197,749,766,435,280,142,492,118,280,525,519,197,
766,594,053,758,192,281,621,675,991,750,323,578,580,681,843,814,169,816,526,
780,479,888,676,658,938,544,995,342,493,095,160,351,670,221,960,504,684,310,
969,328,384,980,011,326,258,373,684,525,912,467,854,052,657,246,141,284,831,
476,994,177,426,237,163,629,347,148,506,057,528,029,024,444,354,236,629,153,
061,622,135,938,350,306,234,017,419,433,013,086,195,865,191,100,040,042,822,
817,083,094,047,372,761,899,791,898,881,312,865,111,225,640,350,439,145,690,
676,422,933,846,183,223,964,992,066,792,045,733,884,165,727,565,331,286,188,
428,968,810,432,145,181,553,009,804,724,901,975,993,900,464,675,907,253,981,
458,228,941,931,427,565,414,228,736,034,211,665,671,538,481,494,146,514,150,
880,279,846,811,388,825,253,908,007,445,935,807,599,408,167,299,363,879,714,
671,673,410,134,176,939,841,963,727,404,648,580,785,416,908,834,567,823,904,
798,141,082,691,786,952,222,399,146,283,848,895,782,323,660,209,472,519,497,
061,456,819,652,991,878,099,459,515,846,847,863,029,123,309,182,326,539,647,
811,496,840,013,110,775,213,123,251,981,302,915,960,626,832,225,335,125,359,
721,734,715,874,184,229,248,981,270,098,644,206,052,495,185,792,105,997,142,
540,308,287,915,975,083,354,210,159,697,295,591,302,081,702,254,544,046,422,
140,896,475,602,358,804,522,251,903,358,692,377,672,736,695,239,834,287,098,
167,819,845,816,541,905,341,509,227,185,033,247,916,476,165,831,797,470,822,
688,086,089,926,098,420,757,442,214,271,112,617,359,102,149,882,252,449,718,
288,258,686,293,319,355,702,271,668,875,408,684,949,740,479,212,698,763,840,
703,532,094,444,999,504,876,076,213,081,211,500,064,301,036,930,914,656,896,
560,011,160,023,251,266,778,654,696,684,059,562,785,950,319,187,589,452,813,
547,093,961,670,770,698,009,455,277,242,266,705,676,629,139,972,286,084,849,
023,529,378,091,037,151,851,459,623,646,397,410,148,468,876,933,767,041,916,
129,712,687,173,454,158,599,239,292,631,354,067,161,982,460,070,252,622,218,
418,626,657,049,348,840,196,987,172,630,354,304,560,322,061,688,394,012,636,
919,479,554,875,305,011,457,580,687,812,198,797,549,805,024,147,764,543,221,
668,944,738,782,390,361,537,229,892,323,044,992,283,118,728,388,044,928,807,
843,711,816,719,305,206,021,561,856,033,675,405,672,220,480,636,764,620,528,
170,219,441,662,753,635,369,734,733,275,844,415,453,364,437,302,444,742,518,
335,422,728,005,258,479,818,293,250,716,597,487,903,719,516,320,325,520,744,
767,330,011,138,735,367,007,835,926,971,206,919,213,176,818,462,371,024,536,
950,344,534,654,592,223,985,017,222,930,265,882,721,515,346,087,843,289,119,
799,691,640,481,319,933,495,374,340,298,322,422,413,407,111,695,724,921,607,
654,332,939,992,386,616,688,863,034,132,728,182,192,909,453,326,698,718,666,
161,754,002,067,600,825,414,175,069,935,296,210,940,840,559,737,268,736,763,
802,508,290,748,510,709,056,319,221,032,311,134,244,266,341,485,590,079,189,
306,095,062,271,123,640,583,311,006,609,760,844,728,855,320,290,383,744,001,
827,549,403,897,355,041,558,595,037,515,254,322,598,289,210,450,408,384,444,
213,586,424,804,712,461,030,690,343,791,024,892,525,291,536,997,932,451,053,
560,425,595,317,957,886,305,322,134,489,440,045,898,750,590,345,760,071,721,
559,235,376,417,187,038,269,363,817,284,732,536,704,754,693,538,784,030,277,
089,675,671,975,738,693,059,916,497,644,110,285,975,776,213,314,137,112,118,
676,037,374,305,635,262,111,860,567,225,451,897,776,598,671,343,075,346,904,
599,720,731,459,172,854,538,671,406,480,808,747,434,266,941,409,208,754,111,
708,176,962,288,967,831,783,009,281,946,838,485,918,889,491,910,873,024,881,
803,305,023,621,690,522,278,169,336,523,587,797,211,381,239,945,762,654,340,
283,436,634,218,506,215,844,338,365,083,488,514,780,518,455,696,851,829,579,
991,956,280,537,977,551,653,468,154,037,209,953,416,441,652,132,082,988,097,
520,821,274,454,839,269,750,229,612,517,649,784,097,514,605,557,806,087,149,
503,091,428,532,248,728,020,239,534,875,191,488,174,390,283,693,809,414,877,
335,553,480,822,056,140,532,258,307,109,339,269,760,354,720,875,329,414,246,
345,446,921,248,022,771,626,943,745,899,514,723,543,817,229,765,560,028,427,
251,393,392,781,583,819,615,470,158,223,474,750,109,343,895,685,673,704,297,
197,030,829,826,315,661,022,141,065,831,821,399,536,221,287,149,748,369,778,
133,686,826,885,905,345,002,786,032,071,897,389,261,387,163,675,701,268,979,
515,299,295,707,135,502,033,951,241,514,090,059,062,791,179,176,084,166,076,
282,705,514,640,889,400,187,103,350,184,610,475,289,739,318,168,351,278,196,
699,229,103,580,165,604,085,694,810,708,068,749,271,781,150,998,185,317,973,
004,793,816,469,567,710,475,871,834,632,252,071,096,399,358,324,101,203,799,
869,725,779,446,383,272,620,560,091,952,950,131,456,104,118,446,876,054,789,
202,916,243,472,834,948,428,915,443,553,024,455,997,932,004,486,864,551,666,
389,660,171,250,226,222,257,019,456,402,461,588,346,612,533,098,911,565,523,
585,628,588,861,691,523,750,953,067,226,111,650,965,033,367,263,342,898,857,
842,940,344,133,913,803,104,610,515,653,190,021,208,682,000,518,270,414,726,
767,513,471,163,522,491,009,855,587,039,117,521,216,710,273,695,996,427,211,
628,497,554,707,444,365,704,586,304,529,556,729,529,127,223,827,722,730,728,
948,734,092,658,226,875,426,897,134,660,295,849,173,827,509,932,372,717,830,
326,871,795,275,841,114,549,284,466,668,703,720,316,242,706,416,713,720,590,
754,468,143,970,328,132,925,661,589,610,947,953,323,992,356,357,029,348,133,
691,155,562,447,438,715,231,228,664,336,241,811,658,837,731,858,227,237,645,
236,904,516,164,497,981,546,030,012,871,797,857,165,120,595,601,741,862,348,
492,850,665,481,345,886,970,615,031,094,903,813,210,151,597,150,760,983,873,
831,607,889,528,567,483,665,806,669,344,197,451,188,384,664,089,197,235,593,
031,944,687,108,939,127,727,480,304,972,115,560,030,629,546,526,799,000,056,
769,940,494,514,645,678,215,720,123,915,975,419,932,591,600,111,576,499,366,
103,802,426,971,876,566,128,387,831,145,617,452,212,164,792,190,607,165,468,
715,751,423,874,873,467,296,884,116,372,149,120,759,823,989,835,431,157,485,
922,214,465,828,955,605,737,304,486,129,023,484,882,588,011,753,134,517,867,
094,414,287,847,218,389,202,580,381,561,681,970,077,589,399,961,920,865,228,
446,910,377,409,239,165,691,448,179,575,812,723,480,006,153,472,523,412,752,
636,238,740,166,968,728,811,962,806,092,383,138,044,576,723,286,485,511,518,
397,511,960,167,107,486,900,283,546,152,992,470,695,705,339,285,606,867,737,
448,687,043,380,656,412,502,193,672,889,307,185,445,616,393,167,006,273,688,
781,914,177,182,577,918,128,932,070,266,815,287,388,582,015,665,588,497,021,
344,974,389,034,961,550,072,026,046,923,893,605,273,356,519,944,657,789,585,
555,134,268,553,668,205,392,159,084,890,972,475,316,360,014,674,419,504,270,
052,456,991,642,180,592,671,952,229,796,019,324,193,358,873,085,310,679,779,
634,212,944,277,686,094,585,266,120,613,391,439,280,021,351,391,602,222,427,
694,454,003,261,252,979,801,521,321,333,426,177,897,497,394,484,539,460,265,
694,995,327,252,731,348,532,993,467,432,035,466,942,761,544,513,390,788,210,
179,502,697,673,754,564,760,515,063,847,234,613,676,563,840,049,349,280,031,
132,384,609,855,887,663,675,932,547,592,742,071,600,235,553,109,485,083,022,
141,693,842,517,474,223,534,852,195,787,620,985,376,749,303,372,566,292,169,
086,612,766,335,563,404,855,710,388,907,270,750,393,783,985,077,878,830,084,
854,757,070,413,357,829,259,559,358,973,318,145,795,600,764,631,783,654,995,
996,899,312,080,445,410,650,762,357,090,642,437,564,162,257,993,837,640,569,
920,244,707,272,018,088,380,543,241,850,989,210,760,335,947,752,102,490,563,
218,004,966,861,951,279,665,890,514,837,472,593,496,961,434,932,858,761,549,
541,254,623,175,058,781,651,030,165,596,583,970,357,378,155,707,620,625,993,
923,919,734,002,567,670,668,209,725,684,084,135,817,870,658,373,444,432,883,
642,346,272,693,518,561,781,235,350,962,321,517,517,129,521,476,565,374,804,
828,776,195,921,482,591,068,528,733,674,938,609,746,313,484,038,931,624,189,
646,675,470,043,152,535,832,280,510,419,580,634,193,746,972,387,103,039,180,
682,186,046,779,201,157,817,634,767,026,020,276,908,255,034,867,602,510,060,
044,769,092,148,195,941,251,819,173,034,128,095,625,780,612,578,791,335,261,
206,446,742,617,110,515,288,536,159,209,664,430,795,562,858,926,584,127,975,
027,659,666,366,211,176,212,548,397,309,659,768,595,000,693,962,856,118,375,
682,188,927,945,131,024,142,755,462,167,191,408,276,706,247,563,900,783,566,
005,201,052,684,531,714,260,383,005,302,043,691,248,841,574,895,210,395,146,
511,269,046,866,457,204,061,342,259,365,940,744,068,066,662,635,803,034,176,
490,663,963,726,589,542,351,528,949,023,547,011,399,350,023,233,778,004,007,
228,294,556,248,337,080,947,965,361,114,433,074,774,003,579,068,552,481,102,
361,261,932,170,540,116,144,541,836,181,898,114,197,455,982,621,622,882,146,
963,194,869,293,481,892,387,962,651,982,974,883,651,666,697,812,509,394,937,
541,456,690,625,902,003,865,316,785,236,054,692,851,580,992,162,953,788,286,
500,737,121,356,105,010,312,768,666,307,750,698,277,594,661,615,698,811,097,
589,537,488,551,984,841,101,587,448,608,776,744,895,949,192,183,630,364,085,
970,898,343,238,768,597,117,709,699,805,848,646,287,279,877,105,179,671,646,
318,812,635,998,910,420,832,782,458,973,380,615,838,239,000,912,749,780,360,
798,698,347,122,492,534,558,195,388,186,206,031,668,826,910,896,511,187,110,
171,888,188,170,659,602,709,832,784,738,137,333,882,669,321,767,926,373,538,
814,547,163,618,321,070,382,255,284,333,648,438,096,055,692,890,059,887,138,
493,283,075,299,417,996,438,889,039,060,657,028,400,933,952,945,203,419,675,
822,531,799,592,724,821,869,359,521,340,927,785,744,702,476,985,729,887,956,
649,849,507,964,491,991,635,466,445,456,069,636,171,357,600,617,501,788,456,
981,214,409,844,284,323,571,367,174,228,248,907,671,940,431,387,399,933,058,
471,392,273,041,233,584,827,044,760,117,952,762,238,264,867,267,422,835,903,
112,468,148,125,312,763,678,380,416,305,359,667,230,464,434,591,897,183,170,
154,116,168,278,685,287,376,145,576,517,232,575,166,752,803,310,357,453,843,
266,050,882,319,158,778,253,417,882,673,491,666,350,776,326,216,912,988,644,
237,686,951,787,354,765,109,133,815,711,317,970,139,588,569,210,690,389,048,
241,734,821,260,744,593,746,200,545,951,451,290,110,877,162,251,963,068,414,
938,484,778,830,233,756,573,289,672,814,316,693,662,273,521,259,096,880,899,
621,281,883,011,407,897,178,038,055,060,543,610,024,042,988,477,052,703,486,
645,204,398,336,765,959,424,534,596,825,900,746,655,390,741,800,217,381,956,
327,294,894,181,995,618,746,666,206,074,796,284,185,019,245,813,279,008,061,
703,145,967,993,146,099,682,846,443,184,124,739,216,446,139,106,924,789,396,
854,274,994,929,604,240,337,197,244,404,266,114,108,349,031,624,871,057,726,
904,426,877,800,452,522,960,467,988,373,643,345,226,027,289,008,870,063,065,
135,016,286,255,784,763,321,786,036,964,992,533,316,470,225,429,752,182,337,
391,967,223,411,758,910,911,137,408,586,093,410,564,615,217,020,219,725,818,
948,680,332,918,243,842,783,880,073,148,349,435,280,276,483,359,837,811,164,
482,194,673,638,423,484,854,734,462,921,304,763,732,626,215,413,651,196,380,
391,353,018,984,481,968,866,546,780,505,374,921,093,315,562,606,493,743,452,
251,882,603,898,560,673,740,352,653,304,016,379,758,214,565,271,969,846,005,
217,044,253,747,716,104,121,146,833,260,331,857,568,968,706,305,787,013,716,
931,893,662,091,814,094,770,010,093,669,722,039,067,992,425,685,064,663,933,
408,121,453,184,781,139,490,949,834,819,825,445,892,066,253,637,778,699,556,
890,763,761,838,329,835,241,534,344,266,613,281,772,159,142,614,551,030,008,
141,757,642,880,974,347,771,358,791,277,178,488,122,254,408,691,445,934,417,
770,967,033,054,757,905,261,592,720,705,943,608,380,668,870,069,827,225,068,
141,383,661,117,150,148,100,061,960,736,943,514,257,854,843,918,739,162,092,
247,703,286,237,716,604,391,379,200,084,445,392,173,432,007,968,894,220,799,
788,672,251,717,036,731,896,191,210,123,372,095,801,789,713,411,802,646,812,
951,688,361,578,931,405,959,050,095,646,287,643,773,971,176,215,928,205,537,
210,212,106,137,369,337,085,887,736,743,684,431,443,298,883,852,898,765,655,
469,208,090,757,453,750,951,993,390,441,474,470,462,625,124,400,493,602,771,
906,182,554,303,589,105,210,324,859,237,734,928,512,066,629,834,713,800,930,
308,929,093,075,432,419,939,060,107,397,414,188,566,407,473,318,010,555,569,
014,684,978,974,400,651,319,695,527,879,427,227,062,960,546,921,721,920,858,
863,979,239,066,461,976,968,745,823,845,266,595,141,436,437,719,479,561,799,
036,070,544,305,724,585,486,768,983,886,213,545,477,558,044,410,031,017,257,
076,495,973,933,666,139,917,574,220,965,968,754,126,369,871,050,339,784,993,
852,671,578,924,153,554,689,817,275,974,828,641,857,547,895,090,437,610,926,
649,043,053,413,116,170,984,379,851,016,881,628,423,099,435,003,376,918,635,
512,142,806,341,019,955,661,447,505,067,991,418,438,199,884,653,098,997,319,
401,934,453,962,795,729,831,920,080,889,600,886,440,399,751,513,880,420,409,
846,061,466,993,931,717,343,781,592,676,587,707,159,335,440,886,808,537,704,
298,518,693,832,149,174,194,900,880,463,766,405,379,421,622,880,173,922,624,
639,458,428,254,377,217,701,080,632,310,583,706,881,171,240,639,895,172,294,
597,779,846,714,242,093,748,236,286,091,634,241,411,689,378,766,801,009,041,
064,170,781,530,167,604,724,017,203,736,142,735,072,642,702,838,311,984,847,
097,608,590,764,586,852,442,842,591,682,465,099,492,794,100,373,714,595,913,
665,809,588,503,491,053,006,858,038,400,188,189,311,354,786,221,378,966,249,
226,950,391,941,781,465,066,889,954,594,521,757,765,347,526,036,596,477,644,
319,486,546,761,142,796,201,209,651,625,913,333,004,494,248,382,149,411,566,
918,236,956,317,166,957,661,722,386,717,671,574,880,206,713,365,063,165,356,
367,361,485,566,553,019,076,810,041,899,491,267,537,086,760,935,483,710,146,
548,857,500,974,298,645,009,889,661,679,974,889,380,806,847,812,315,571,205,
475,073,022,194,400,192,902,703,414,111,420,076,504,650,590,572,487,378,076,
180,180,040,131,729,143,249,935,244,017,556,590,433,978,210,879,045,926,989,
969,618,494,118,937,469,541,679,499,518,704,281,169,065,370,154,038,971,439,
818,037,346,103,035,922,673,948,024,729,715,168,273,974,932,746,994,726,839,
630,110,007,401,540,637,706,563,690,713,302,913,017,896,384,546,517,724,363,
872,913,959,993,013,449,665,909,802,281,720,970,894,344,127,717,301,628,959,
672,339,769,716,354,036,618,785,765,813,862,764,308,019,846,909,437,973,083,
898,145,772,080,729,759,978,221,450,711,993,700,546,120,714,650,585,625,752,
339,787,689,960,819,124,224,220,454,576,696,213,317,599,370,201,158,485,754,
093,643,172,481,410,803,059,785,101,959,204,164,578,224,470,431,718,528,245,
884,557,474,641,146,524,068,247,037,806,059,073,254,234,159,714,080,104,208,
476,557,843,521,054,219,763,790,619,597,963,585,539,368,171,451,226,357,634,
430,512,131,094,054,152,786,613,623,303,110,050,056,529,285,318,281,771,834,
737,639,840,250,994,484,977,951,307,763,628,516,806,192,297,120,322,144,604,
741,146,901,950,340,824,401,254,466,326,446,017,827,836,287,890,648,195,897,
956,473,237,045,216,398,981,619,173,054,877,207,326,556,439,345,276,374,268,
131,695,197,833,042,539,069,518,270,620,751,251,308,616,627,477,297,814,240,
227,155,952,060,688,484,964,284,454,910,574,615,205,224,332,886,189,121,090,
325,976,644,648,004,217,545,010,019,586,260,705,111,823,072,997,707,355,301,
992,562,817,693,213,078,481,246,915,219,694,335,173,787,364,611,468,197,219,
354,870,529,745,997,686,244,515,842,095,671,121,238,579,499,423,528,558,219,
461,892,009,022,304,751,168,520,958,964,784,701,497,092,961,596,939,836,503,
602,618,814,227,353,745,965,051,405,535,766,237,100,471,663,396,094,246,554,
426,527,436,310,890,808,294,602,123,072,184,020,426,395,437,224,661,826,280,
189,835,079,839,400,608,527,351,696,795,797,978,132,714,643,030,625,286,164,
158,496,849,659,434,581,278,170,094,974,258,467,013,097,224,470,864,782,872,
047,697,647,972,064,103,834,465,469,753,630,622,585,889,549,537,331,181,244,
239,030,169,708,155,456,908,582,376,131,357,534,976,398,279,304,416,630,828,
271,197,287,785,372,804,562,572,848,633,557,190,865,124,317,964,122,396,664,
459,960,177,054,824,428,783,290,329,884,879,710,639,044,902,466,546,415,441,
767,173,068,906,621,888,950,382,570,844,152,066,219,023,308,075,268,856,889,
789,491,863,642,054,461,132,909,879,609,996,821,447,736,704,768,163,059,733,
696,985,115,188,633,069,948,933,339,192,778,375,229,651,149,028,302,965,026,
833,418,743,383,358,067,414,851,793,455,378,179,299,207,457,574,113,257,436,
509,064,790,774,699,669,172,430,889,460,852,825,470,203,990,554,467,061,864,
258,664,280,118,561,266,159,277,825,944,729,654,143,770,006,474,693,307,021,
394,312,967,796,151,685,199,126,480,340,014,419,589,777,898,310,783,847,135,
402,073,713,604,287,372,164,759,837,933,483,552,315,379,642,043,908,730,966,
472,620,282,371,529,315,461,615,073,729,088,831,296,064,840,067,014,932,417,
975,919,972,529,579,357,113,822,131,138,287,846,321,122,618,192,113,868,482,
014,213,468,996,398,020,233,981,235,849,891,753,706,816,249,516,339,373,320,
784,023,559,758,464,100,872,678,554,851,246,734,584,831,583,501,666,930,779,
863,089,576,857,297,526,416,382,153,349,141,625,309,019,221,294,867,560,660,
971,255,694,974,691,587,109,521,713,317,422,862,611,068,177,636,613,084,548,
685,381,250,963,294,032,149,062,439,068,982,006,536,411,198,910,892,578,347,
038,709,830,651,225,944,865,318,659,346,772,232,132,673,641,916,075,268,167,
879,433,711,272,898,265,690,022,393,838,282,416,597,762,156,760,495,605,231,
902,603,458,832,774,821,438,952,960,105,944,571,274,349,278,830,556,384,425,
655,429,694,848,813,129,720,510,930,887,395,664,754,931,971,144,867,676,323,
880,668,721,966,142,791,881,042,257,059,159,222,305,684,923,884,809,466,890,
591,028,462,699,416,989,271,763,580,691,500,174,512,825,873,862,232,683,959,
820,244,331,136,604,796,572,418,167,081,553,777,002,761,093,545,937,843,162,
606,127,016,749,415,460,172,033,329,277,286,325,204,458,185,546,517,324,691,
785,882,254,197,815,672,457,156,137,972,609,327,275,028,512,445,628,187,156,
524,983,400,885,101,931,450,441,373,659,491,386,632,845,833,851,620,371,620,
794,979,100,846,357,958,213,468,178,919,320,077,064,009,934,056,072,754,831,
077,532,177,354,001,453,759,767,051,931,628,412,641,146,887,003,399,449,063,
335,924,736,602,331,412,832,098,153,902,177,466,730,543,867,022,976,469,089,
733,769,162,629,907,432,113,245,456,563,710,443,968,516,238,774,876,821,836,
066,970,761,616,753,668,192,725,593,771,781,320,733,716,430,552,816,588,253,
276,572,896,343,616,659,532,081,660,840,083,176,763,290,542,928,165,989,984,
382,849,164,093,389,737,617,311,817,652,630,103,981,404,718,197,947,158,514,
366,215,281,303,384,572,112,673,653,196,024,080,033,290,367,951,438,853,946,
275,364,333,933,385,308,065,605,791,269,638,137,054,240,848,819,665,244,022,
502,256,184,721,698,156,567,937,912,648,142,528,337,326,269,160,230,422,381,
297,384,952,260,736,752,318,556,508,518,703,760,892,377,982,882,364,445,099,
614,840,361,581,779,408,785,984,512,270,585,945,812,250,433,218,449,401,166,
319,109,167,154,475,876,231,539,232,898,309,525,007,565,914,537,192,334,029,
240,249,461,458,194,492,000,167,983,147,767,382,940,858,446,737,587,056,647,
771,383,209,029,335,931,433,205,887,594,290,435,684,131,106,259,652,188,828,
129,195,713,066,432,628,207,559,895,983,273,828,475,428,072,999,074,710,437,
314,667,235,110,108,437,549,792,733,671,626,954,154,203,752,614,097,997,765,
425,407,743,856,132,579,198,755,636,079,269,520,321,023,253,895,679,246,557,
599,631,445,921,981,147,532,448,116,439,126,387,045,948,010,811,523,612,824,
907,949,437,321,982,354,510,826,406,752,231,148,266,374,854,113,774,499,404,
902,164,461,992,910,435,566,783,936,213,018,401,212,804,011,244,755,097,783,
260,893,508,428,545,937,988,118,240,732,776,740,102,485,876,503,954,104,439,
453,105,999,256,469,391,772,485,185,282,935,598,192,102,309,944,091,918,918,
174,709,176,070,088,782,612,755,831,865,785,222,528,829,652,750,303,784,272,
510,649,519,475,068,686,488,960,719,938,304,255,910,989,462,225,082,945,834,
767,776,240,582,874,252,892,572,175,619,338,801,502,989,832,327,786,928,874,
514,795,747,435,665,627,990,582,854,377,962,830,234,696,518,164,865,695,969,
151,521,330,361,524,214,313,687,102,648,495,080,078,080,548,702,474,084,707,
827,597,440,700,212,501,773,736,618,923,862,296,073,832,360,323,480,844,619,
199,833,596,514,521,529,404,694,794,235,845,338,378,135,493,608,233,583,648,
213,042,075,336,943,282,807,881,809,161,984,184,459,175,034,845,218,748,183,
114,075,128,903,203,587,992,606,122,626,260,500,525,846,834,729,097,702,524,
405,284,836,391,418,807,715,604,900,589,889,572,475,821,192,714,369,416,920,
161,377,857,860,483,006,975,348,924,225,754,766,942,344,614,815,843,200,529,
798,302,305,633,870,104,083,261,227,064,511,576,440,633,890,949,810,726,796,
647,952,003,830,002,994,683,664,369,229,910,525,515,043,410,221,790,018,099,
601,104,418,991,610,699,908,243,361,833,016,858,446,719,949,378,290,294,879,
850,273,930,399,269,765,790,952,177,327,035,318,491,687,580,688,222,887,759,
328,144,056,486,700,373,175,598,803,340,835,683,871,735,292,818,401,114,897,
022,170,281,378,293,567,119,746,366,680,690,395,287,995,343,334,857,920,817,
464,681,918,757,204,350,667,919,661,157,325,721,696,099,600,633,142,497,006,
585,499,035,700,220,030,491,862,431,856,797,258,169,305,037,364,327,543,176,
020,962,540,307,893,781,082,450,563,962,314,581,508,351,084,475,040,603,710,
568,799,357,628,442,688,038,292,134,301,852,297,926,583,596,788,965,648,726,
989,529,226,873,566,339,865,858,435,432,772,136,768,705,441,873,251,153,844,
797,409,999,799,022,658,798,248,580,421,729,224,746,441,710,042,200,729,666,
821,267,921,175,141,709,450,311,512,201,043,655,667,318,173,803,732,979,561,
672,151,847,998,440,291,767,156,226,530,237,848,405,365,302,578,153,610,791,
343,974,408,256,578,814,332,863,991,552,609,862,622,795,770,981,332,310,631,
982,243,741,214,670,685,486,977,767,466,748,192,036,712,883,023,868,585,831,
870,447,970,358,410,674,465,093,386,796,256,842,551,390,901,980,295,496,552,
175,491,324,834,245,651,632,494,711,965,630,583,878,881,431,496,820,735,399,
754,748,910,690,276,651,709,089,992,407,041,941,296,639,910,321,400,447,184,
826,126,644,748,095,001,210,096,517,493,275,035,963,679,775,980,244,148,664,
850,801,315,615,046,691,681,017,488,106,724,868,154,770,802,849,034,384,015,
912,950,351,903,506,270,682,144,047,854,302,886,466,667,960,520,667,635,027,
244,762,679,747,190,990,677,064,728,081,669,568,177,492,436,108,743,105,374,
141,282,928,625,607,803,960,109,427,579,423,753,157,323,492,642,167,313,621,
079,515,467,461,757,953,409,179,484,728,622,979,919,640,733,673,049,348,745,
042,841,129,880,298,531,602,018,881,864,525,120,484,081,241,286,393,918,109,
646,645,344,479,903,876,877,866,654,739,003,323,702,779,807,407,839,455,500,
844,785,133,390,875,261,219,454,920,822,814,155,719,343,318,134,581,870,411,
390,728,933,078,982,496,300,904,876,086,259,654,240,831,879,984,223,368,678,
061,096,830,727,271,061,627,489,321,475,283,117,300,817,861,878,999,514,280,
039,024,993,623,917,032,873,905,592,401,180,123,371,975,415,270,316,383,612,
416,083,585,809,064,927,562,936,286,266,275,729,047,393,048,705,833,652,469,
995,487,174,719,631,077,002,103,189,362,000,026,898,310,497,579,074,984,104,
508,317,548,452,386,334,200,939,606,829,120,183,128,506,570,650,578,662,996,
693,881,835,602,235,399,424,934,094,631,894,543,863,385,089,330,150,373,323,
338,570,438,757,080,876,420,875,307,539,598,721,639,233,073,984,706,936,461,
662,462,601,904,788,052,504,274,304,330,355,570,632,624,435,733,118,204,796,
088,473,162,999,463,471,982,442,603,173,800,537,100,491,087,555,946,559,384,
737,366,740,428,533,472,492,671,818,076,442,296,709,075,033,702,765,429,248,
927,390,535,690,166,752,526,842,009,918,699,193,853,014,442,760,962,949,265,
753,767,349,878,154,541,359,171,352,621,251,516,576,775,367,819,886,503,621,
361,762,655,923,098,807,620,073,253,199,383,124,149,365,398,403,318,193,479,
105,933,303,684,379,743,352,454,556,006,858,789,577,180,346,337,099,348,196,
361,020,948,283,726,243,289,919,035,150,948,964,154,326,146,578,494,250,198,
202,392,032,874,881,281,737,695,288,983,916,873,237,845,899,852,452,267,381,
220,861,655,792,492,366,234,060,765,849,119,644,096,591,989,901,138,918,679,
586,467,687,904,726,540,984,066,629,040,809,637,614,396,251,318,302,421,943,
843,816,494,295,303,950,896,350,633,897,668,025,319,586,814,929,548,842,344,
895,322,645,636,602,554,127,253,394,274,176,402,437,356,075,050,083,985,824,
165,269,020,993,118,247,861,429,282,372,695,350,212,682,103,699,958,191,536,
588,086,082,206,254,238,306,843,333,720,482,259,361,644,112,275,607,722,864,
258,341,201,622,961,252,682,471,789,430,613,818,768,661,224,449,914,723,723,
293,398,701,664,324,956,316,655,407,064,191,229,627,217,274,937,417,726,897,
723,905,141,975,921,741,860,761,893,229,522,326,776,803,601,689,878,730,486,
535,137,347,756,943,857,826,309,138,801,508,487,351,662,312,849,493,506,974,
545,392,315,776,824,565,301,081,620,920,861,437,657,904,552,756,475,152,397,
353,586,715,915,586,254,283,081,765,561,549,231,403,640,873,807,166,777,166,
909,464,942,617,603,881,175,232,879,347,456,204,621,051,168,308,160,000,384,
384,229,261,446,118,898,655,437,546,578,195,750,597,842,525,852,464,608,812,
694,390,863,675,116,077,953,662,277,435,617,329,461,980,618,044,455,270,774,
928,151,572,474,793,769,463,210,012,439,790,447,527,744,998,161,012,691,036,
469,497,057,994,648,160,261,354,576,942,530,807,863,417,161,541,843,435,587,
708,862,539,627,079,671,553,752,665,578,837,677,052,251,491,844,689,347,868,
920,782,216,377,812,577,748,290,710,780,768,343,318,574,267,516,154,450,876,
579,629,835,372,860,330,714,782,972,880,510,241,985,087,590,071,991,448,118,
626,521,920,627,581,290,068,981,226,934,394,078,561,363,989,102,087,811,779,
950,481,875,667,735,469,016,599,812,547,483,245,015,958,663,064,915,596,305,
156,100,175,282,655,679,997,941,780,815,889,073,614,159,729,092,706,686,833,
779,942,859,129,227,530,091,281,524,164,984,427,584,966,793,887,806,382,686,
381,585,098,039,125,267,841,506,316,087,313,324,991,729,334,528,601,192,388,
102,963,340,298,452,163,407,169,893,277,870,264,551,437,636,971,244,734,505,
481,166,927,750,140,015,686,607,062,345,419,748,149,052,468,361,646,263,211,
488,352,444,657,012,781,914,490,960,865,373,087,372,396,470,527,418,016,255,
928,823,173,479,615,360,968,739,995,331,346,988,908,707,720,411,414,227,139,
054,139,572,249,760,519,156,166,833,816,558,678,926,989,617,186,017,647,316,
641,897,956,316,283,472,774,901,127,063,466,874,921,397,819,740,478,162,725,
864,322,280,633,400,424,710,075,344,382,593,207,985,335,622,104,481,599,594,
564,975,343,376,485,696,939,687,416,027,568,026,202,433,050,291,366,894,236,
687,148,804,033,089,500,447,448,580,943,078,940,044,356,663,452,790,200,287,
983,345,928,194,771,111,098,648,853,563,024,830,025,330,615,521,024,219,979,
332,010,355,544,231,897,224,076,017,109,227,725,975,047,082,166,272,626,113,
503,703,171,652,606,180,906,707,839,157,292,646,060,785,490,596,105,840,917,
472,785,408,659,516,293,358,976,362,655,362,599,480,794,504,138,166,909,400,
506,553,531,887,925,909,401,685,069,601,801,455,429,776,953,346,207,776,594,
250,116,153,644,826,937,718,450,152,768,199,298,702,725,430,001,863,072,328,
195,643,571,422,462,492,914,938,647,619,444,405,438,700,785,299,807,553,245,
251,379,004,730,674,810,948,671,182,128,506,652,725,585,703,295,263,406,642,
418,710,149,890,113,345,294,434,178,504,960,111,289,724,790,525,780,524,406,
758,479,220,533,020,883,553,409,863,466,907,660,268,290,592,703,999,626,988,
847,986,950,191,037,013,497,491,889,401,054,146,128,691,676,394,148,692,495,
694,783,187,262,499,905,671,395,796,458,371,629,085,523,263,362,149,723,196,
009,618,157,289,740,641,266,242,461,913,373,975,204,702,590,126,537,767,853,
643,217,498,327,439,476,244,501,046,532,270,647,261,689,698,138,607,675,613,
125,263,854,386,434,457,377,597,909,938,681,945,929,240,587,678,204,821,176,
745,266,433,190,860,869,894,669,592,412,404,895,495,777,419,123,366,513,489,
258,257,724,376,981,886,352,163,007,572,970,360,250,451,033,551,304,237,110,
308,712,875,529,065,428,108,304,075,301,783,168,007,828,646,280,451,833,252,
625,968,257,704,154,377,789,022,209,093,943,396,606,119,177,146,697,140,997,
142,920,487,833,322,487,068,761,364,566,357,405,510,021,745,648,222,179,853,
759,559,847,346,978,400,279,896,175,351,927,901,418,837,855,753,773,257,326,
116,946,517,334,224,827,596,354,488,283,371,858,341,891,070,611,713,099,792,
367,022,438,312,016,680,221,051,043,581,932,126,090,474,841,167,776,361,047,
326,184,282,807,262,214,950,205,537,371,250,242,893,206,748,893,953,282,955,
137,471,945,507,299,770,325,686,019,460,868,323,602,307,997,271,638,799,736,
836,641,777,537,942,251,877,226,718,448,598,123,369,837,088,978,659,294,849,
938,840,683,981,447,260,041,041,834,663,431,505,817,428,974,333,825,137,091,
312,530,470,228,584,935,983,496,158,220,465,895,384,811,605,514,071,394,989,
868,836,057,028,161,789,839,168,485,781,146,666,181,514,742,171,092,548,350,
847,267,297,701,692,920,276,226,329,453,572,709,493,243,806,824,803,176,131,
050,652,903,551,700,115,198,302,023,431,404,018,444,337,208,887,201,896,148,
819,382,098,595,371,457,670,559,262,877,268,958,218,923,835,792,799,029,707,
400,603,522,783,760,922,808,441,051,844,082,704,633,602,566,548,644,435,321,
113,742,655,855,965,474,914,546,304,331,348,540,082,391,697,679,673,979,628,
006,256,696,446,691,652,102,921,779,563,695,586,946,673,783,876,829,094,908,
094,542,014,353,596,220,703,086,897,112,798,447,639,413,185,149,408,485,346,
896,769,746,346,000,465,461,694,305,892,361,083,893,081,928,195,866,209,741,
635,323,728,744,991,904,921,346,928,431,110,555,642,222,533,686,223,322,238,
977,056,720,199,775,807,969,367,230,927,768,019,050,096,575,302,446,238,024,
520,724,735,195,608,331,009,534,336,742,919,492,297,085,182,228,170,225,584,
174,837,752,431,548,452,998,294,430,472,307,679,735,946,786,063,077,526,060,
771,032,793,072,494,856,061,620,116,876,524,753,677,068,341,575,669,913,137,
038,078,509,488,076,545,236,462,554,210,453,669,734,172,051,454,840,247,028,
922,201,122,032,507,056,653,186,110,658,097,071,746,217,941,940,332,426,221,
666,793,074,102,009,189,931,017,884,729,816,970,822,175,656,507,590,956,780,
830,974,148,286,261,624,905,831,549,093,241,567,478,295,403,758,521,505,027,
487,975,627,489,022,729,345,024,495,518,107,677,985,403,526,561,771,934,854,
548,731,730,966,310,526,520,361,898,892,939,749,922,830,254,221,881,596,326,
533,732,478,536,382,337,152,523,822,153,706,714,214,742,640,912,842,146,206,
810,034,560,691,921,033,947,610,624,492,205,490,869,616,214,423,099,005,818,
110,516,827,056,367,975,809,646,959,747,818,706,181,354,670,692,427,047,344,
400,226,881,620,860,998,899,539,847,671,310,904,570,615,282,311,597,861,449,
631,467,814,349,952,950,952,352,876,700,318,130,653,528,973,487,837,904,369,
532,299,605,019,172,478,266,775,792,996,852,697,161,087,299,211,132,628,063,
076,303,626,069,053,896,277,793,160,724,264,479,382,869,737,341,532,042,345,
062,570,615,576,834,760,086,022,458,428,240,386,196,609,896,232,241,150,744,
866,841,051,787,617,753,078,149,917,069,152,843,010,586,735,537,188,039,353,
490,798,905,561,255,317,856,861,672,148,876,821,740,184,168,507,968,967,586,
472,010,101,821,122,086,173,075,346,228,848,542,734,420,049,921,266,154,854,
743,361,207,757,485,824,948,999,720,862,592,436,561,306,471,465,502,843,415,
783,420,517,935,864,549,144,010,972,698,761,389,866,043,363,468,273,687,487,
340,067,120,201,850,135,855,884,540,919,289,041,554,229,400,656,927,491,478,
845,125,322,219,189,460,938,395,961,974,340,629,543,009,353,344,772,928,169,
197,570,309,725,157,788,716,928,940,326,640,514,016,241,519,263,225,388,372,
520,906,154,386,505,300,355,539,965,625,155,855,577,355,486,580,852,228,406,
666,238,585,286,688,271,213,724,549,316,150,064,416,916,538,903,141,000,521,
148,565,104,736,545,894,108,072,394,597,416,066,807,713,221,856,510,402,674,
985,264,487,515,226,753,687,372,309,419,295,481,007,175,294,472,428,111,884,
191,296,866,094,723,279,762,602,781,792,674,306,354,872,063,084,980,548,777,
070,548,190,633,727,168,360,031,327,750,593,054,303,041,026,887,520,982,301,
494,894,111,115,991,550,289,191,050,721,304,588,346,978,131,070,298,938,445,
665,580,237,505,796,274,201,118,104,094,384,511,180,290,919,502,068,494,449,
799,400,033,371,286,992,146,488,616,803,862,785,387,989,792,647,468,614,503,
009,490,994,170,756,066,716,891,545,671,410,329,593,985,948,524,163,658,548,
071,301,190,181,399,924,491,925,488,033,541,364,661,191,197,381,333,726,999,
708,381,913,574,511,143,246,808,518,568,134,537,355,905,387,509,681,127,266,
724,682,343,452,042,600,833,972,987,719,991,365,397,099,363,221,769,732,123,
964,433,939,966,992,827,113,205,550,056,888,487,477,127,960,940,394,199,256,
141,593,583,751,518,318,770,786,666,998,090,455,264,751,478,807,386,521,121,
337,281,382,506,814,573,067,015,139,587,589,370,640,081,078,728,859,155,259,
101,479,236,683,106,167,658,376,752,073,810,042,167,606,916,703,873,618,642,
914,374,215,443,922,290,383,346,842,989,118,530,180,911,138,736,835,830,026,
704,277,734,162,785,837,238,106,126,373,326,089,191,485,365,912,085,230,405,
369,170,000,296,866,665,393,194,375,862,218,222,743,126,755,805,714,006,453,
039,652,679,818,616,878,574,499,228,192,143,274,971,144,689,566,292,120,587,
370,086,840,266,001,238,610,167,973,522,251,987,352,799,182,864,245,509,829,
010,606,512,357,627,186,103,253,496,033,636,066,682,679,056,919,200,949,528,
742,643,028,462,975,146,795,125,836,752,582,897,237,081,460,873,149,629,658,
165,241,189,396,219,395,234,463,180,019,786,969,936,004,290,663,728,798,447,
308,659,389,136,784,999,829,329,000,890,154,740,293,437,349,900,119,484,142,
159,430,704,437,017,768,685,002,240,337,432,129,918,360,755,641,407,229,624,
363,488,837,954,322,199,528,474,243,411,967,451,736,905,680,660,594,747,665,
847,048,089,106,459,748,473,503,803,678,296,729,371,520,410,744,637,895,564,
468,053,830,716,933,933,144,303,620,306,222,491,596,808,929,030,205,949,871,
539,679,892,012,271,587,159,156,847,406,370,836,753,033,759,790,841,633,037,
703,045,813,193,766,198,054,042,547,620,861,733,859,083,582,903,467,450,133,
388,751,236,890,945,516,627,097,920,341,810,367,842,496,410,829,426,463,309,
777,621,557,328,697,689,698,280,958,890,934,974,828,733,086,690,307,478,471,
122,179,821,515,623,035,258,598,600,489,911,706,952,922,249,167,769,000,656,
523,333,698,143,189,148,480,428,056,935,965,985,709,335,276,075,004,685,642,
046,292,433,834,940,801,304,575,559,241,701,416,517,028,687,688,808,121,589,
616,553,803,324,562,937,562,546,365,961,383,700,881,615,976,637,156,372,877,
698,812,560,194,159,901,115,640,206,620,274,288,357,944,932,487,999,716,610,
111,961,309,626,415,821,976,989,537,472,784,709,887,235,224,479,638,939,051,
096,054,047,592,537,509,415,161,318,636,547,884,179,802,996,612,470,588,750,
155,780,500,780,613,310,476,080,627,782,374,599,099,500,733,962,350,196,339,
419,986,323,182,640,691,907,615,052,332,055,094,889,516,281,335,484,682,142,
631,738,103,066,122,126,397,190,037,190,346,723,221,943,749,430,254,589,113,
551,599,329,213,785,592,390,122,683,824,934,457,605,326,888,940,878,079,045,
089,956,542,378,233,959,450,216,965,031,849,679,755,203,253,624,249,843,373,
975,736,898,541,721,986,627,422,344,678,732,558,921,757,320,798,299,323,452,
014,124,459,126,574,006,796,791,000,369,292,975,412,215,584,054,704,756,624,
057,181,175,396,909,099,724,305,745,432,612,972,257,098,789,660,359,048,965,
330,307,146,998,480,474,425,604,772,875,880,147,140,042,864,949,659,868,512,
413,830,592,826,096,840,640,333,164,813,856,087,728,569,742,909,878,727,418,
259,056,222,035,665,864,817,710,762,463,128,131,862,549,002,967,735,168,100,
208,468,790,066,500,772,274,807,813,693,330,685,101,440,841,591,964,935,014,
380,806,693,867,099,667,196,104,391,835,866,248,628,355,852,434,732,612,669,
583,870,607,813,597,075,125,983,931,104,196,496,736,027,777,825,351,066,685,
401,513,484,226,731,249,899,749,559,813,692,574,898,282,469,461,805,092,776,
875,050,617,335,689,456,224,628,097,898,836,050,249,540,940,360,402,999,352,
338,329,492,510,782,221,956,054,839,664,488,738,691,875,883,330,561,835,619,
878,159,159,663,533,669,846,345,533,400,122,524,234,531,577,561,352,875,699,
626,560,192,268,642,408,853,909,890,752,030,901,759,635,088,986,225,669,633,
667,565,706,898,555,929,221,450,652,036,101,522,839,801,806,258,381,000,052,
351,265,721,971,169,049,458,152,981,381,239,032,032,280,354,455,176,436,251,
277,984,877,404,288,554,868,627,940,618,830,325,206,723,534,442,957,860,905,
610,494,238,090,529,922,261,997,311,533,815,557,202,734,323,158,553,898,894,
855,102,747,101,497,414,426,022,838,407,987,347,341,466,849,269,879,256,668,
799,995,446,271,227,248,920,376,362,564,765,782,245,484,799,426,035,487,969,
776,627,213,845,138,947,533,852,155,981,855,378,281,291,930,986,735,152,638,
760,383,923,052,086,849,604,157,100,395,198,998,779,553,252,895,445,141,110,
980,075,083,605,946,665,650,829,747,222,297,202,579,883,996,699,833,220,811,
123,982,312,461,952,930,988,550,826,399,102,080,978,380,565,375,047,676,465,
544,659,505,918,560,595,257,115,743,287,700,393,478,315,579,411,764,251,037,
147,009,407,090,355,396,873,183,409,572,405,786,142,214,902,029,395,971,008,
004,987,700,086,637,354,609,545,532,922,576,769,859,091,177,869,707,179,939,
581,901,191,842,728,489,166,373,743,754,192,287,086,902,480,448,269,514,557,
650,787,663,146,591,416,577,663,782,372,786,096,410,033,250,260,425,865,161,
631,570,374,318,651,548,433,787,841,863,659,940,412,179,041,445,585,142,073,
277,046,195,513,506,879,559,398,816,418,904,995,044,491,466,200,715,304,723,
465,456,613,528,965,385,893,580,671,510,153,348,816,605,909,741,062,017,089,
096,406,960,415,976,860,824,134,903,294,075,965,812,857,487,641,109,682,636,
832,459,445,796,481,493,105,449,500,274,145,638,811,800,709,228,019,515,503,
695,401,602,352,718,054,011,928,337,770,492,625,492,746,256,255,438,658,352,
546,099,936,140,960,758,262,408,824,303,196,115,366,014,215,568,090,713,483,
461,401,514,500,333,246,094,387,819,807,726,944,311,202,452,585,857,195,246,
203,668,819,439,328,889,517,906,666,189,802,813,883,364,937,548,491,153,637,
254,876,022,758,634,361,920,006,549,157,263,329,164,597,660,580,198,827,466,
160,674,680,800,776,797,210,423,957,230,408,040,515,468,482,043,799,524,336,
362,252,586,465,633,424,175,137,114,339,208,129,984,252,959,142,054,246,031,
286,422,956,210,903,201,400,265,854,041,299,696,839,193,752,452,402,470,729,
108,200,071,757,290,072,302,651,497,702,010,483,412,275,157,345,918,780,444,
572,009,290,889,867,221,048,350,170,936,718,894,129,114,237,998,320,068,279,
210,445,596,417,397,901,242,873,350,489,902,042,132,741,755,905,533,823,641,
813,945,562,391,712,550,381,159,041,941,016,687,072,909,161,211,793,852,865,
335,874,979,795,000,262,564,256,461,573,892,108,920,180,872,370,035,850,513,
691,390,453,847,953,089,150,430,198,246,838,159,619,863,745,668,024,289,142,
431,199,372,476,913,621,448,835,559,288,712,485,758,714,194,804,449,179,288,
643,867,275,382,406,289,951,064,579,466,045,763,082,117,360,301,654,650,279,
914,858,872,818,530,765,570,245,790,076,946,402,296,280,891,460,064,544,498,
902,015,930,355,089,408,348,925,982,884,834,937,362,814,082,389,991,705,050,
104,527,347,408,688,660,905,671,612,993,668,873,220,802,108,689,891,472,575,
345,037,260,302,143,832,050,056,495,288,552,668,858,100,378,409,862,478,871,
558,948,745,585,902,198,443,154,068,153,398,418,509,066,776,322,750,961,959,
412,510,496,868,760,003,692,814,876,148,438,701,672,669,723,208,846,099,287,
043,491,012,866,907,011,296,451,833,368,399,935,872,517,546,341,205,639,686,
780,010,219,481,853,540,085,007,734,612,133,678,493,495,819,668,751,137,170,
960,647,992,614,401,373,959,509,545,127,242,894,696,069,326,052,701,857,287,
954,424,611,249,799,946,276,107,172,163,204,844,754,998,801,483,022,595,899,
811,829,209,990,608,642,442,940,529,681,941,481,170,712,305,638,432,687,316,
939,214,913,508,440,071,853,510,047,233,646,997,413,686,544,340,916,898,217,
971,836,134,275,675,935,613,056,049,402,074,297,237,445,988,506,909,088,806,
130,688,887,051,785,951,639,494,522,793,212,960,375,929,857,992,195,335,907,
953,250,502,981,059,116,025,101,432,588,454,536,727,104,537,875,036,223,913,
819,157,069,016,517,208,984,991,570,327,550,952,973,050,553,682,794,415,126,
405,270,315,013,901,324,229,261,489,751,658,380,823,791,386,488,182,959,965,
515,055,076,621,956,653,470,174,856,397,162,085,035,378,791,706,389,877,760,
381,982,662,693,847,718,641,170,785,248,578,001,796,570,550,420,355,660,797,
978,927,836,784,932,973,721,943,961,990,586,801,008,916,059,114,334,855,803,
320,046,420,258,327,872,415,591,358,722,080,643,453,542,349,643,510,164,396,
617,117,524,329,967,918,145,416,157,273,205,711,583,885,646,121,731,413,665,
170,895,388,359,510,489,897,469,287,962,802,355,390,542,891,862,364,111,174,
320,833,210,427,652,223,716,186,594,908,642,039,191,588,635,823,089,367,790,
055,426,661,675,418,083,617,523,972,442,200,553,339,155,032,038,676,504,171,
720,562,789,994,995,919,899,501,495,669,394,660,433,504,197,100,396,518,611,
967,909,988,576,457,162,975,246,313,773,288,556,868,922,677,010,935,167,721,
207,721,917,172,459,273,074,274,640,316,500,145,993,881,165,215,813,988,725,
425,996,165,686,001,692,943,957,774,347,109,333,898,171,059,279,680,869,275,
777,792,164,240,763,096,695,461,340,751,656,719,595,738,692,724,289,749,167,
406,517,020,255,121,344,006,830,903,187,765,811,177,872,708,759,656,002,370,
791,223,752,465,708,616,801,990,041,269,634,379,517,905,987,075,984,224,237,
088,108,119,760,908,777,487,808,388,728,594,819,709,877,957,761,693,935,915,
901,482,789,071,792,981,283,509,744,421,058,510,395,348,273,311,114,277,051,
005,249,567,515,941,344,490,798,912,556,822,366,693,559,184,315,767,929,904,
499,980,557,474,514,969,526,565,104,081,223,464,303,290,980,932,275,169,178,
788,693,927,143,656,592,942,841,796,325,934,820,925,420,874,110,494,215,359,
319,016,854,056,635,398,388,648,320,743,811,206,121,792,834,356,741,804,713,
021,583,922,622,147,058,218,175,873,780,155,714,414,435,281,021,439,689,567,
815,044,149,792,813,160,136,147,116,488,685,486,575,018,585,088,849,347,129,
304,535,295,048,584,737,882,866,007,857,051,910,333,892,810,972,611,886,321,
153,208,909,276,381,811,948,684,750,189,907,319,713,584,337,984,859,146,322,
704,447,364,450,520,160,779,234,444,694,337,601,949,546,921,635,119,032,653,
003,836,813,141,645,002,963,227,233,458,421,982,861,605,453,101,840,685,937,
083,394,424,215,061,109,216,635,031,647,711,245,174,420,356,466,074,550,869,
423,956,744,351,635,864,709,964,299,947,569,829,906,535,180,746,017,776,132,
475,969,899,715,161,456,763,570,335,581,686,974,762,980,435,328,028,065,621,
840,906,087,220,592,933,440,899,746,397,830,192,114,811,129,462,175,125,517,
662,733,746,928,731,220,134,062,563,448,421,438,998,790,990,463,383,138,868,
457,724,382,370,357,554,439,356,630,044,788,412,023,721,927,327,121,437,108,
664,485,859,375,131,119,736,833,880,359,091,270,870,458,863,397,230,298,909,
816,217,849,091,639,386,594,568,956,645,098,124,817,729,516,530,329,906,064,
493,832,931,882,873,747,613,855,879,464,231,910,984,546,241,898,522,007,740,
352,354,929,624,593,897,514,390,648,983,726,729,918,179,101,502,039,583,476,
174,240,800,553,735,700,069,792,761,985,252,172,947,510,950,161,655,507,339,
754,930,313,341,333,337,370,541,186,301,276,984,994,312,784,119,176,827,211,
767,597,383,531,996,792,863,407,810,353,558,889,926,133,936,457,827,716,867,
078,551,025,673,964,476,629,011,308,005,825,586,480,414,579,078,413,945,958,
169,529,829,446,640,023,716,126,692,289,189,180,988,074,675,844,370,777,805,
489,970,268,309,606,080,114,493,976,162,419,603,225,703,162,713,885,257,904,
892,574,196,746,251,319,224,524,534,181,785,149,172,156,662,126,410,259,987,
143,696,878,079,759,126,051,139,453,932,058,940,711,636,639,055,739,181,740,
607,002,189,227,342,679,727,108,140,939,189,835,172,282,735,683,646,259,358,
874,764,975,116,345,342,340,228,681,907,306,415,090,129,363,938,488,982,598,
465,457,235,469,522,097,473,403,760,257,396,942,951,756,637,467,624,396,008,
083,205,764,231,460,842,594,976,089,533,652,700,773,064,609,332,721,208,944,
634,717,646,377,497,527,575,388,189,767,417,900,100,912,380,106,399,966,350,
257,924,217,501,173,994,001,458,638,837,684,828,801,295,603,934,916,286,502,
845,838,718,454,895,367,875,547,805,761,628,969,308,809,902,423,364,088,706,
854,425,887,472,437,609,415,473,753,515,862,544,824,933,614,293,825,992,400,
123,446,313,238,929,143,229,082,914,261,657,884,428,967,896,669,256,192,427,
286,698,545,906,508,150,264,644,922,255,695,264,473,298,034,007,378,446,364,
189,513,930,351,262,853,170,297,818,958,179,907,684,773,268,823,018,415,464,
455,285,420,936,336,490,621,180,366,530,023,358,026,166,981,579,915,418,811,
467,127,593,843,515,947,940,171,785,530,814,045,307,308,646,019,677,352,209,
924,276,375,998,748,909,743,908,637,555,073,576,957,682,435,611,450,841,113,
264,998,141,469,335,021,583,607,552,458,327,648,375,707,015,115,968,349,099,
398,140,228,448,195,236,726,111,929,331,269,950,366,533,379,135,552,677,174,
675,157,171,629,908,603,138,653,284,636,567,970,006,087,848,007,711,469,900,
968,288,292,449,112,404,391,937,215,115,533,476,347,014,684,594,369,986,734,
834,045,756,498,422,884,806,778,857,743,162,554,161,283,056,436,206,029,612,
468,324,800,955,787,687,231,609,336,743,528,267,184,448,837,819,057,671,127,
948,664,852,368,389,698,312,932,238,079,932,093,018,356,815,509,771,427,420,
621,308,161,055,969,028,589,311,756,767,129,560,899,389,097,624,244,704,331,
051,224,651,878,800,890,074,860,612,210,908,610,091,658,606,316,231,733,682,
133,413,576,221,341,440,212,868,894,547,332,701,232,791,468,731,201,921,253,
541,275,472,389,569,558,733,184,670,598,673,371,032,010,145,667,383,508,696,
695,978,704,197,449,268,748,317,439,124,911,508,184,549,251,505,688,635,798,
322,639,058,521,454,651,055,328,521,567,376,936,526,332,845,119,466,813,566,
567,126,545,468,004,504,545,419,170,524,373,672,286,483,610,083,318,139,549,
685,409,792,811,624,452,204,823,811,867,513,477,002,855,148,137,650,358,811,
448,952,186,869,031,253,874,258,761,054,141,287,051,431,165,289,621,723,010,
492,533,979,586,792,292,422,559,493,954,837,338,589,362,907,800,182,717,834,
767,206,081,099,583,335,691,252,536,679,578,171,151,394,553,009,293,471,162,
725,712,372,868,452,915,597,805,708,912,925,000,667,107,102,937,555,242,373,
696,094,619,380,864,807,889,095,445,245,606,286,822,714,830,621,025,489,963,
412,409,425,948,052,638,768,253,406,796,082,137,397,943,559,769,272,030,010,
633,075,601,476,640,680,723,292,880,211,339,508,794,305,706,486,363,190,365,
271,508,593,093,123,779,732,601,710,359,782,047,400,826,908,441,788,013,433,
986,913,987,301,570,375,275,704,511,603,306,334,918,113,842,434,637,796,846,
275,237,484,581,370,347,212,049,826,157,638,240,451,360,153,281,075,004,509,
320,180,109,130,359,716,268,342,883,194,336,738,766,248,709,094,969,131,554,
827,113,660,244,834,955,238,528,393,751,319,929,968,245,034,547,575,178,883,
840,650,722,764,825,149,947,721,163,369,542,718,846,608,344,619,402,484,381,
972,058,279,821,884,352,095,672,407,675,967,128,546,659,814,264,187,920,921,
539,504,776,692,507,375,826,637,288,830,965,829,185,045,796,508,218,765,624,
942,191,947,318,795,700,265,056,246,383,692,598,748,421,042,743,345,458,291,
141,487,989,919,379,767,723,145,603,873,831,851,765,936,101,503,451,145,492,
155,303,841,039,911,185,714,832,359,504,709,527,999,399,307,207,143,762,469,
137,595,196,677,854,812,210,076,902,291,471,120,302,241,804,753,125,161,281,
095,643,976,144,202,890,970,984,146,565,578,420,300,315,849,304,356,421,749,
641,736,352,202,883,476,275,164,151,000,683,147,994,906,399,173,595,078,037,
787,655,300,481,784,467,192,424,659,532,279,974,710,274,789,906,551,862,298,
802,028,354,002,833,369,687,753,176,913,656,254,240,764,789,522,437,848,443,
002,215,899,392,810,885,235,652,768,306,770,725,279,536,961,451,629,812,903,
181,442,619,278,699,847,951,176,835,400,973,095,116,268,107,376,156,757,889,
250,767,862,612,116,054,574,216,867,480,543,598,766,079,735,916,838,729,311,
218,042,456,857,896,851,006,897,987,006,462,979,689,545,633,561,844,867,698,
375,455,351,910,679,389,895,084,309,693,391,142,928,262,208,980,755,235,892,
362,236,893,638,193,270,347,820,325,357,738,519,557,339,831,295,723,378,734,
319,300,456,118,878,896,944,065,174,886,192,912,473,917,450,659,247,446,798,
599,801,927,895,506,412,602,008,731,097,527,021,640,449,093,071,848,538,137,
968,087,558,159,527,399,003,855,318,251,159,547,655,404,169,827,232,477,537,
248,162,640,658,730,644,365,670,936,283,946,140,318,878,426,988,161,794,160,
556,649,342,834,463,750,722,356,994,477,898,171,689,696,440,449,317,863,685,
714,480,661,793,083,484,661,604,117,779,012,410,280,311,611,376,146,685,733,
590,339,513,556,620,387,535,197,654,594,944,907,591,699,332,356,392,080,133,
608,192,530,044,646,139,346,371,449,657,127,263,415,795,727,223,740,531,562,
762,571,612,558,407,518,896,169,474,296,362,476,903,359,036,699,135,834,132,
374,314,538,653,574,867,502,021,283,146,264,669,309,030,957,908,685,457,576,
459,776,270,894,480,933,792,263,134,827,245,875,154,544,018,905,559,692,499,
004,139,862,009,918,922,344,728,530,879,969,492,315,162,375,891,746,173,672,
465,787,654,751,189,547,488,852,214,540,401,405,359,366,099,746,021,012,750,
257,825,616,183,252,970,070,008,862,941,274,317,816,275,689,718,891,256,571,
012,317,435,776,279,390,193,243,891,304,371,716,629,276,712,991,053,871,124,
050,444,327,027,037,398,047,522,244,170,566,770,333,043,977,781,918,272,346,
462,783,881,711,423,360,405,125,289,674,320,755,311,137,296,838,957,213,126,
680,301,337,463,846,731,024,639,046,268,300,111,182,369,624,326,220,266,384,
561,067,415,313,381,483,685,538,189,437,370,993,065,053,610,591,203,319,559,
855,731,090,288,215,433,543,143,141,714,395,533,253,549,277,235,916,169,721,
772,607,388,202,611,635,510,362,008,619,839,284,995,477,687,956,012,739,583,
425,773,504,202,272,419,857,375,731,044,189,044,258,968,932,158,810,678,646,
573,591,556,946,198,789,015,601,661,700,434,087,336,305,731,583,444,445,638,
658,947,881,299,078,806,017,440,704,843,350,334,273,577,570,802,193,059,209,
412,889,199,264,638,188,029,157,404,125,855,033,645,613,042,835,867,108,255,
863,539,032,111,052,601,308,072,369,952,488,915,595,900,277,580,515,551,908,
769,092,004,196,043,094,998,658,005,592,943,601,803,301,364,694,055,421,416,
992,070,993,623,185,952,359,308,401,825,059,121,006,886,121,729,820,262,375,
981,007,236,651,703,136,425,441,063,677,187,547,699,612,094,859,191,901,622,
270,894,030,553,637,652,483,480,444,005,111,708,167,736,193,200,103,580,069,
909,940,840,483,671,396,682,430,534,448,799,157,678,287,659,473,626,041,504,
895,112,677,555,708,314,085,033,307,248,745,418,021,880,193,223,613,905,032,
280,555,843,817,818,342,763,422,019,487,133,459,614,517,012,767,059,089,786,
893,331,623,495,971,531,064,966,249,007,391,884,058,022,444,574,543,172,029,
774,967,285,799,670,064,522,053,500,896,516,311,555,941,927,322,950,699,033,
199,334,600,627,252,484,281,973,058,708,229,876,173,040,342,847,748,750,729,
601,827,446,303,098,725,964,704,884,246,993,687,651,583,861,717,347,851,685,
445,088,120,772,197,087,481,593,233,450,266,233,549,413,515,681,794,896,029,
541,794,110,787,824,586,522,842,322,246,129,494,348,599,794,523,388,953,475,
139,946,680,618,728,195,815,829,475,703,324,783,159,457,314,026,344,460,193,
615,361,771,942,915,436,659,522,298,589,672,962,006,374,982,423,147,101,655,
841,691,825,096,583,259,634,043,532,140,502,979,928,420,996,104,289,109,832,
961,294,725,438,496,748,084,977,006,267,311,637,200,800,022,170,939,177,863,
380,029,852,914,864,131,418,386,733,968,679,525,337,047,655,217,435,194,775,
762,134,612,081,133,921,816,965,254,944,514,683,907,174,245,829,561,990,460,
471,693,411,849,026,910,545,282,166,457,896,197,413,383,641,174,612,950,901,
738,669,432,319,777,471,132,780,391,048,632,401,461,162,666,517,555,215,148,
004,449,550,543,558,858,632,242,617,692,420,805,628,341,095,250,566,079,844,
095,161,883,686,053,070,341,444,580,696,400,926,285,404,744,597,850,606,578,
656,432,191,339,121,684,870,413,473,861,443,588,208,892,968,744,587,372,517,
468,472,505,507,032,000,853,321,064,070,589,621,685,425,853,811,215,807,852,
684,948,909,284,559,113,964,458,702,075,590,626,089,432,003,498,292,150,764,
611,724,729,048,871,127,844,558,928,597,563,350,999,584,033,462,345,052,242,
016,713,379,692,992,415,746,450,156,417,498,903,564,495,690,407,816,843,210,
653,122,102,079,700,002,532,350,872,526,347,181,418,021,431,443,230,566,974,
299,445,126,559,139,060,792,857,781,603,371,790,495,702,626,311,096,536,239,
592,138,373,599,417,030,597,171,074,069,825,615,911,731,575,671,791,649,763,
198,384,842,931,667,749,015,994,176,693,007,612,798,080,745,930,300,977,974,
777,355,136,997,114,479,000,401,216,318,415,296,211,492,460,874,058,107,959,
744,136,471,394,851,962,176,803,669,924,673,278,964,405,252,917,634,567,381,
299,002,238,924,811,962,443,203,284,161,456,977,091,743,387,485,872,826,800,
516,484,818,289,640,558,981,674,319,781,557,573,716,372,863,382,404,099,651,
264,154,191,654,564,952,600,128,912,495,223,039,080,675,066,739,505,656,847,
481,676,299,319,094,990,954,825,709,088,641,453,658,235,993,447,004,018,607,
950,196,673,722,440,746,201,544,735,855,055,039,379,151,175,988,364,455,332,
317,532,653,825,538,094,998,596,913,574,469,697,831,416,165,627,293,345,339,
183,728,032,828,654,994,539,901,075,594,820,491,750,429,075,528,224,529,591,
014,272,110,681,849,374,536,574,408,544,388,418,812,420,326,023,160,514,508,
345,174,705,482,280,563,944,048,392,771,998,694,222,489,004,921,119,406,819,
851,093,842,152,809,654,078,348,417,668,186,435,280,134,614,237,437,529,008,
405,548,689,690,318,266,280,432,577,918,360,360,732,368,891,592,109,703,917,
440,150,444,783,603,992,784,436,582,199,405,352,151,636,597,511,613,198,950,
280,035,778,433,933,015,055,489,820,759,805,333,139,083,504,387,916,302,082,
978,216,767,553,250,794,012,154,805,977,745,910,053,888,625,997,039,423,577,
185,388,412,563,534,070,047,659,681,807,286,133,481,973,731,829,549,425,738,
218,671,528,792,591,921,470,141,480,913,679,278,696,136,445,345,843,707,633,
948,050,990,285,623,167,407,004,167,875,089,565,135,930,566,221,061,458,559,
630,704,155,649,651,972,009,934,172,663,323,181,948,831,300,190,284,166,150,
234,814,865,662,637,581,517,193,507,215,690,964,744,928,167,224,268,124,024,
518,031,092,651,575,392,684,051,029,624,973,908,475,089,586,048,672,467,114,
426,755,549,542,336,802,943,788,122,214,904,648,784,977,570,036,385,612,680,
922,429,065,954,270,715,153,275,795,630,101,807,278,020,500,828,802,593,602,
545,366,394,413,000,341,759,259,729,908,183,295,134,911,164,144,506,430,823,
134,926,614,647,390,311,200,124,290,321,179,104,186,246,682,267,670,883,601,
294,505,459,524,602,101,158,682,772,821,150,632,029,819,790,605,830,703,598,
755,913,590,298,822,129,745,339,861,936,628,384,263,486,581,475,735,428,335,
013,061,282,747,413,796,616,276,810,961,415,942,267,010,563,474,168,349,326,
364,680,883,517,300,528,328,221,605,150,586,560,400,301,236,692,264,071,667,
313,981,752,670,720,155,995,485,883,981,063,487,624,450,869,166,030,152,284,
326,699,160,219,621,294,078,280,377,387,160,581,203,123,399,429,973,551,165,
703,850,286,616,917,179,320,660,550,085,595,581,916,065,989,754,191,884,764,
890,485,130,086,632,664,055,263,276,425,140,848,625,698,620,819,061,045,933,
169,434,385,322,514,535,102,196,151,062,380,146,553,392,143,145,807,389,050,
281,444,162,729,766,319,321,058,195,221,082,782,784,613,631,358,736,137,848,
465,639,029,071,008,901,289,748,475,031,204,283,611,921,282,625,101,925,044,
071,755,180,969,803,630,499,491,137,316,717,302,699,360,637,672,127,914,410,
128,005,219,965,258,470,725,278,917,095,982,600,248,316,310,702,580,236,627,
264,008,820,261,963,247,128,404,954,528,001,408,016,494,070,672,167,376,928,
914,818,180,118,192,718,545,953,966,133,671,338,927,693,633,070,748,551,013,
447,979,014,570,838,799,740,088,384,219,882,551,100,228,796,154,505,594,186,
627,276,049,502,000,076,240,623,762,650,241,470,761,655,496,005,923,813,704,
997,237,693,546,894,514,147,187,433,163,732,285,431,413,313,849,294,901,081,
497,689,140,370,728,569,991,610,787,072,096,509,613,699,094,685,557,881,240,
918,939,326,757,318,347,983,143,160,667,719,286,553,169,045,740,245,586,978,
673,086,805,221,969,378,876,876,994,415,594,592,380,793,959,126,269,742,322,
581,000,827,100,096,257,629,798,289,945,038,962,836,549,846,403,901,956,380,
931,031,711,841,191,752,395,668,542,436,136,006,328,587,112,075,130,799,984,
910,254,765,942,067,925,536,271,908,633,966,587,327,624,372,684,244,171,002,
377,830,134,879,360,708,025,562,033,142,389,128,314,628,338,649,084,323,082,
166,862,302,014,684,000,792,598,512,144,045,607,476,349,994,903,899,645,959,
072,924,029,438,830,880,856,108,841,174,881,581,032,847,920,702,926,656,443,
492,858,928,795,768,616,193,673,433,328,428,752,982,396,285,299,960,626,095,
402,142,619,176,472,830,632,386,131,883,760,906,397,778,262,807,247,339,281,
096,706,706,087,557,428,917,489,576,829,661,486,895,417,416,694,331,530,842,
999,265,229,026,801,662,438,670,830,573,099,913,911,589,113,675,932,514,940,
406,932,879,105,115,363,034,311,018,270,496,961,897,254,018,100,559,989,991,
021,978,649,032,803,428,620,426,750,257,562,516,865,886,823,868,773,685,558,
872,558,822,975,569,106,126,728,529,377,538,989,800,366,885,185,694,875,177,
114,947,239,869,365,689,241,243,686,510,235,464,850,203,478,918,628,592,789,
868,480,476,393,090,435,014,368,506,514,644,243,046,986,469,541,790,696,436,
873,385,772,138,813,136,218,829,491,987,940,376,970,749,747,186,269,786,994,
691,553,415,326,719,693,596,000,576,147,474,415,743,248,116,263,096,175,584,
328,098,029,104,809,175,530,991,389,719,564,942,586,621,898,742,504,033,808,
554,119,103,004,946,975,547,916,434,630,980,571,733,635,026,799,703,340,542,
446,100,105,636,051,655,943,287,982,456,490,746,585,216,702,153,911,194,859,
074,637,300,224,124,948,441,424,602,555,032,313,114,540,713,621,710,106,764,
680,079,762,104,071,111,437,079,462,454,222,162,233,992,393,080,853,996,586,
872,862,788,756,070,409,995,701,523,215,112,010,233,840,475,695,298,830,531,
819,225,474,510,428,795,634,966,846,828,455,743,482,467,799,516,697,347,072,
626,600,698,552,568,688,068,119,209,539,948,388,396,344,262,377,051,967,828,
931,118,172,381,639,184,597,224,346,438,697,239,654,418,003,339,525,050,452,
108,748,075,622,470,257,288,789,923,492,942,258,239,759,382,027,729,777,394,
246,380,153,625,068,085,402,206,166,285,400,169,281,634,633,159,483,617,660,
365,352,554,474,482,020,174,526,592,011,932,547,266,640,862,297,112,224,548,
918,415,101,303,467,094,118,492,848,769,781,608,827,555,564,150,343,282,795,
213,110,145,617,355,278,233,573,249,669,309,272,261,656,874,390,943,276,551,
806,122,240,366,764,760,432,345,259,143,336,600,069,336,734,740,236,255,607,
287,030,455,904,262,090,091,121,670,159,713,297,757,111,587,616,683,721,042,
526,605,938,202,096,654,088,024,809,508,587,221,977,731,731,617,372,857,171,
878,936,371,939,596,977,226,310,195,460,014,483,671,825,925,908,924,837,155,
092,359,250,630,245,743,652,796,737,296,343,840,088,618,195,982,353,768,701,
325,780,764,948,077,194,943,383,742,422,340,772,258,385,786,469,168,537,774,
947,676,665,138,699,779,548,910,763,770,064,755,201,593,216,721,638,413,951,
156,947,428,834,710,092,283,159,558,357,330,694,112,743,623,324,224,480,177,
921,006,759,200,816,543,747,234,832,037,538,306,921,717,328,405,670,589,195,
188,446,975,108,202,350,984,811,984,085,282,137,936,284,460,186,389,322,853,
292,588,783,210,128,127,854,924,622,616,473,749,302,666,570,429,810,322,519,
004,802,374,825,395,159,093,261,651,125,059,197,359,487,039,554,845,275,643,
619,485,183,824,473,915,657,928,274,110,393,186,120,281,493,246,573,320,554,
682,723,661,881,624,207,207,825,275,179,618,205,331,266,612,702,016,868,230,
897,301,540,383,482,563,769,610,727,500,725,438,318,091,543,776,531,650,112,
744,506,501,982,163,067,500,228,148,182,274,011,704,356,586,819,861,412,076,
853,312,301,427,064,589,121,396,497,756,574,578,677,628,606,476,605,396,819,
528,977,453,351,865,028,937,455,933,280,909,242,494,949,243,151,255,444,117,
257,207,448,935,752,297,538,963,796,190,852,504,858,609,796,457,437,152,536,
505,445,302,613,005,830,447,459,017,433,758,640,682,028,145,970,973,592,835,
588,827,910,907,168,422,035,540,031,229,859,171,520,804,372,032,551,642,281,
108,965,057,386,079,911,337,434,158,325,244,457,685,995,524,295,720,026,910,
561,965,171,278,917,626,006,454,380,244,701,247,267,056,910,568,377,530,192,
102,123,572,957,710,466,432,403,305,934,654,920,433,405,987,564,693,248,568,
781,969,688,148,059,712,763,925,950,062,901,496,626,192,975,700,332,635,540,
635,389,692,240,360,464,576,648,337,444,997,248,149,592,445,046,784,555,164,
760,650,985,109,435,350,932,764,699,180,182,471,057,766,806,662,323,187,345,
490,539,108,537,611,227,229,636,157,638,855,580,848,745,903,715,326,314,246,
624,801,870,298,878,963,518,877,770,587,889,787,550,662,807,552,329,495,716,
331,699,368,740,270,396,785,897,472,117,596,020,957,658,031,037,573,138,545,
022,752,437,449,772,762,898,236,001,396,740,784,427,861,527,803,692,404,380,
902,471,369,177,670,044,686,649,145,831,267,631,263,782,502,024,797,885,240,
628,874,485,393,831,255,798,182,612,292,447,074,644,112,902,376,739,484,193,
132,973,219,454,833,610,128,895,331,443,259,327,266,002,637,424,438,363,670,
951,142,012,414,626,915,268,283,426,048,843,012,929,496,130,124,821,396,487,
856,193,818,969,568,900,357,120,606,547,770,229,014,233,047,643,057,566,152,
474,675,306,094,059,469,138,076,786,987,969,513,868,445,491,942,888,509,522,
858,955,797,843,482,317,237,043,627,624,840,453,533,596,472,391,931,758,858,
112,573,854,098,057,034,776,793,513,037,667,231,299,274,560,034,351,466,064,
080,159,521,236,706,093,670,064,142,601,278,982,462,085,711,395,961,278,147,
072,338,372,164,317,302,455,207,379,939,426,687,174,560,886,190,057,737,894,
000,367,591,782,730,662,710,282,056,984,134,844,389,089,884,903,988,265,379,
716,234,647,692,469,104,021,516,100,013,540,921,681,148,037,129,220,217,052,
511,971,334,521,985,330,399,887,225,369,638,159,571,026,356,869,951,573,679,
311,123,824,819,886,233,004,920,541,732,795,347,200,529,133,104,605,469,462,
605,046,656,217,679,705,794,308,692,520,143,782,456,455,758,500,582,081,157,
164,351,731,084,506,999,641,422,225,242,346,359,454,767,300,090,725,378,275,
196,160,860,599,034,913,116,925,492,071,561,466,696,326,959,376,519,332,276,
029,670,581,795,534,177,161,147,097,349,225,655,805,579,984,847,512,946,304,
890,340,207,545,266,553,191,398,234,025,423,588,305,281,796,349,517,848,266,
757,110,237,903,091,377,270,536,386,948,440,317,243,339,001,359,487,453,693,
693,061,922,478,778,093,784,452,370,841,818,735,997,619,972,131,073,515,654,
927,960,512,930,237,410,844,950,213,387,608,412,556,179,050,577,172,823,360,
493,437,490,952,354,619,581,891,582,626,225,263,497,129,164,698,772,105,301,
752,136,075,724,266,786,000,250,719,358,028,919,410,669,582,576,140,995,559,
170,798,658,682,998,121,161,498,311,407,215,798,876,773,396,199,061,823,124,
616,019,403,201,802,357,674,951,192,708,474,567,179,550,093,657,479,928,157,
993,333,529,020,741,588,279,411,469,203,980,214,141,930,992,032,445,803,654,
687,404,093,344,082,010,548,920,614,850,005,704,602,032,141,142,655,571,899,
606,250,021,748,329,579,852,771,969,904,286,260,399,782,877,677,372,781,546,
706,746,711,471,910,195,119,231,331,434,591,415,611,886,844,526,706,685,819,
250,958,194,501,496,268,171,189,822,229,818,538,590,083,383,151,133,182,973,
892,891,388,071,154,285,608,014,478,887,970,613,533,116,551,758,321,520,777,
366,658,130,000,835,006,135,767,433,920,036,734,941,893,398,492,991,045,822,
432,452,516,392,693,138,295,745,482,998,984,090,434,814,570,052,415,545,139,
016,844,984,854,090,326,878,829,632,168,198,966,826,557,044,674,003,967,062,
735,443,276,152,396,549,186,670,022,026,099,636,102,414,035,065,009,980,253,
860,698,273,162,156,129,166,669,915,443,507,499,417,788,044,851,005,714,485,
683,688,159,985,629,984,553,453,666,177,937,770,661,643,276,262,764,974,419,
496,136,557,675,015,248,307,953,360,502,721,430,917,838,838,158,935,800,142,
641,601,403,895,005,300,098,557,589,227,513,672,215,710,869,894,715,818,134,
085,863,242,627,200,922,813,309,342,712,983,307,396,650,082,880,807,641,888,
145,957,261,538,860,180,201,677,433,532,931,831,309,542,907,857,958,330,814,
816,939,907,634,871,611,851,841,754,454,382,232,836,613,234,700,449,338,222,
468,722,431,494,875,193,770,051,786,558,661,751,949,748,100,967,611,361,585,
888,064,263,354,395,833,118,093,048,181,197,618,556,682,655,438,639,341,048,
917,598,951,776,112,301,691,224,610,502,464,365,697,629,510,487,111,089,011,
734,853,483,511,756,007,391,667,112,734,320,351,587,531,993,970,787,058,831,
909,078,789,019,362,045,223,595,861,585,126,340,491,095,122,424,329,008,491,
941,633,424,209,053,335,510,637,527,855,326,275,059,687,724,976,826,234,354,
520,939,968,131,790,956,638,939,679,733,873,496,656,844,457,006,410,622,710,
714,953,687,691,224,803,952,354,350,072,616,806,008,410,051,406,079,205,215,
788,422,237,815,598,804,861,808,413,654,852,460,137,393,129,634,400,762,383,
437,938,799,387,370,076,628,445,964,433,513,325,313,339,531,788,969,508,165,
199,717,771,442,731,011,002,744,969,127,267,424,539,394,073,500,490,286,232,
108,989,932,414,163,523,783,818,924,167,666,772,634,560,360,584,119,700,805,
961,334,404,508,760,116,866,542,949,614,833,923,362,013,123,670,913,036,717,
420,142,810,555,168,808,863,837,056,309,974,274,422,598,655,187,861,094,559,
563,837,811,767,637,626,454,247,551,760,118,369,441,544,578,393,720,788,428,
897,212,149,861,751,364,714,090,076,639,205,129,390,241,749,403,676,417,848,
366,936,286,968,872,469,970,507,500,651,597,959,084,287,990,894,730,732,454,
198,457,348,108,510,592,506,562,203,555,378,753,241,635,878,259,316,398,351,
065,711,025,369,618,371,409,729,341,629,685,854,237,833,833,588,068,620,096,
748,328,146,139,775,670,848,015,218,324,489,254,549,951,183,424,510,115,335,
124,186,475,243,382,282,560,236,513,661,619,916,678,934,847,315,349,975,021,
476,956,421,704,282,585,040,183,703,743,538,823,492,182,494,854,553,862,161,
380,842,546,874,314,075,822,769,619,720,342,290,391,573,817,811,357,920,158,
424,781,826,509,793,367,767,038,211,734,157,124,461,674,485,306,309,357,936,
419,472,127,956,066,261,960,175,710,962,044,660,351,812,903,065,973,759,160,
048,868,810,812,113,247,141,366,733,654,828,009,442,056,703,311,604,790,947,
692,621,915,652,581,158,998,415,183,892,097,523,807,302,667,218,418,430,601,
128,437,318,992,129,746,994,009,814,155,324,012,549,823,166,740,344,431,134,
983,436,592,382,459,811,709,852,416,087,044,913,986,176,537,632,622,841,515,
111,952,067,344,557,545,746,647,406,757,903,374,802,978,993,734,439,860,722,
403,344,026,503,119,599,357,869,957,490,760,691,750,726,119,932,296,136,054,
357,288,466,082,325,245,462,983,559,946,369,984,095,994,545,004,773,971,401,
680,472,860,611,057,017,701,397,242,963,993,417,677,351,944,204,866,754,579,
860,992,633,471,032,333,759,509,482,931,571,033,584,373,341,794,067,100,920,
053,818,164,918,477,488,648,101,036,942,335,411,698,526,768,222,903,907,357,
245,174,615,830,685,604,752,719,603,047,076,609,257,763,862,038,292,365,223,
469,709,332,044,057,879,477,389,424,518,538,869,280,661,578,992,352,386,558,
706,071,441,009,922,987,184,341,296,656,485,672,459,257,566,753,835,408,909,
182,347,572,401,879,323,258,918,985,130,626,803,364,510,920,478,683,550,204,
153,447,841,380,192,409,450,730,096,314,022,496,069,527,883,807,953,975,835,
997,152,583,496,802,914,090,187,023,056,421,894,801,550,941,438,073,382,998,
485,814,121,575,186,692,886,452,653,368,564,089,007,468,608,310,907,654,092,
319,421,271,098,030,548,908,665,732,758,018,106,340,738,489,550,954,327,913,
450,175,618,143,926,869,406,652,129,715,869,048,873,473,541,435,604,135,446,
091,079,773,490,540,749,423,301,321,664,693,469,437,273,031,538,304,098,433,
436,739,975,365,719,974,016,969,466,604,309,693,275,587,113,093,200,019,280,
981,453,469,568,724,971,850,208,678,462,368,949,924,755,735,564,660,213,035,
562,703,650,958,766,834,948,871,213,061,436,880,195,884,069,735,674,452,811,
921,248,208,036,229,726,540,373,675,960,255,659,700,583,260,566,855,001,519,
404,232,041,745,618,717,038,589,073,907,520,356,453,498,249,029,290,633,902,
038,050,065,296,246,341,954,131,864,504,092,165,368,705,681,695,614,787,760,
346,181,593,587,887,480,262,900,750,280,581,393,467,466,951,785,049,168,221,
381,677,208,787,783,857,523,884,676,596,904,134,910,136,707,962,978,166,147,
238,005,625,396,223,530,116,071,849,704,361,689,176,428,077,052,189,981,370,
612,529,113,595,510,000,742,525,099,064,444,221,300,849,309,996,906,040,966,
385,812,365,424,716,985,603,433,391,837,881,700,965,545,031,040,314,005,051,
217,209,006,664,543,920,721,691,149,383,875,192,831,418,491,639,644,082,928,
488,781,045,719,124,381,841,549,442,706,968,664,872,739,946,715,442,088,149,
888,450,199,147,805,903,196,624,957,267,573,770,649,292,813,326,134,066,915,
282,408,244,128,722,976,407,652,025,670,316,224,426,475,219,249,581,997,414,
300,581,094,829,943,291,000,896,768,892,575,103,881,537,706,544,778,003,920,
575,644,007,915,260,070,015,349,554,558,524,567,307,460,808,548,559,396,546,
698,453,965,119,711,350,431,741,524,007,632,808,327,399,094,308,349,765,718,
415,583,109,789,450,812,866,911,096,842,679,415,749,429,041,097,983,890,096,
997,621,058,987,708,950,843,112,253,286,442,586,161,412,000,933,008,893,232,
130,177,681,594,678,530,921,604,942,486,607,730,863,370,017,695,680,271,565,
160,638,467,410,313,726,472,163,047,952,077,824,568,321,757,310,918,055,309,
717,584,387,424,612,784,202,005,983,927,781,774,985,548,147,344,208,981,590,
202,799,784,410,023,172,540,051,989,499,583,999,244,540,181,251,755,550,794,
172,101,960,634,109,820,259,206,692,236,827,792,432,144,646,612,953,065,665,
632,733,427,185,100,387,697,186,828,015,275,059,218,521,524,485,020,457,114,
707,740,580,656,076,343,941,438,959,979,458,733,406,443,569,472,507,763,200,
486,141,636,624,999,233,494,545,276,066,655,823,785,807,563,890,039,186,774,
637,425,280,194,217,189,900,172,359,043,169,742,860,147,616,165,244,033,051,
254,303,894,229,197,409,817,716,840,983,564,530,965,964,930,166,602,936,587,
677,090,750,261,211,382,793,064,550,008,011,628,521,105,046,532,976,729,322,
745,849,608,611,338,419,845,573,937,999,668,391,021,550,173,897,507,511,005,
297,720,371,677,499,840,055,259,943,200,919,012,571,856,346,768,534,739,237,
930,484,542,197,882,258,877,870,391,168,087,748,308,105,405,851,185,867,282,
564,583,765,190,872,425,289,684,391,076,540,226,558,539,960,168,587,032,761,
353,664,078,532,399,282,976,608,797,650,190,686,083,771,743,417,344,987,032,
469,717,057,838,751,722,536,403,136,557,522,320,583,025,992,189,228,604,700,
171,523,584,902,918,037,075,907,738,489,551,003,438,324,772,998,558,448,168,
386,985,501,130,156,755,288,589,865,477,688,798,449,152,788,040,122,121,464,
842,691,752,072,377,325,939,637,687,306,026,019,009,979,341,306,265,488,437,
823,146,808,326,016,065,532,042,766,934,895,562,991,520,138,989,134,376,922,
002,402,570,196,667,049,964,732,623,658,044,500,878,753,330,702,082,751,073,
519,834,790,532,322,604,489,352,201,521,284,277,990,625,401,095,904,589,238,
565,016,148,769,417,369,006,493,738,840,513,961,718,350,142,599,074,228,278,
750,448,794,581,831,394,164,290,779,957,299,562,814,217,412,108,731,877,381,
020,518,992,520,303,372,115,796,210,642,611,507,842,963,073,180,173,949,471,
736,711,027,471,722,791,551,858,310,327,288,789,197,319,312,460,447,988,298,
534,313,392,961,993,835,544,657,412,180,601,352,828,934,689,165,638,602,147,
908,736,736,333,042,015,786,671,624,389,479,516,792,871,439,843,660,620,570,
621,070,726,880,893,440,553,261,093,326,174,786,258,374,488,879,537,856,694,
416,854,884,709,357,487,545,468,088,661,817,290,489,620,017,682,850,211,658,
054,435,775,257,830,647,272,518,496,638,987,667,608,400,871,000,532,238,158,
861,146,824,365,944,775,765,728,481,892,197,637,103,667,633,065,158,808,211,
476,802,120,342,715,325,128,221,380,815,600,501,778,839,107,362,420,345,382,
397,705,187,479,435,242,703,807,864,828,905,751,746,647,194,730,173,123,783,
025,252,364,992,690,664,831,350,998,974,799,932,081,675,780,665,126,970,545,
720,334,980,157,803,376,827,264,600,678,969,307,113,413,459,657,869,317,743,
626,665,769,372,355,925,426,729,883,525,279,221,593,316,920,533,522,365,058,
722,715,046,341,334,397,753,350,289,372,699,209,090,186,247,813,750,718,788,
478,258,113,993,522,560,501,648,393,586,786,050,345,511,137,435,446,178,406,
301,991,096,608,223,365,863,237,766,169,709,377,627,455,984,852,878,370,028,
481,052,345,450,960,962,846,446,676,112,110,630,668,393,082,597,122,926,026,
464,157,449,771,356,282,709,721,380,946,326,610,485,909,905,961,970,904,071,
393,515,542,515,250,431,219,365,103,263,723,098,622,709,427,002,819,711,776,
863,032,636,908,673,690,906,912,927,082,390,166,901,601,178,547,082,284,873,
231,260,798,257,121,946,013,902,222,827,647,510,985,723,951,150,656,490,644,
222,155,169,630,932,870,362,439,622,958,280,423,873,054,340,188,742,235,880,
721,948,955,360,340,186,778,388,113,633,153,606,505,354,725,325,350,648,986,
132,347,816,772,115,850,909,236,600,866,106,582,072,540,467,774,322,154,354,
061,170,943,959,093,512,137,495,570,732,163,396,901,497,580,349,205,596,598,
856,199,082,764,591,417,012,089,287,590,458,269,483,778,585,849,905,766,477,
597,519,289,972,027,886,946,135,649,366,659,697,220,099,607,299,272,296,135,
535,448,265,295,120,320,814,358,098,920,508,257,243,071,435,802,723,487,756,
975,454,524,397,428,082,695,402,567,741,790,232,327,667,854,239,245,445,637,
158,511,050,400,624,932,410,489,872,193,568,972,055,802,691,434,856,307,475,
042,813,282,337,190,290,675,640,165,293,100,251,854,772,317,091,120,537,080,
288,224,549,863,885,399,598,088,104,514,918,521,698,445,822,823,198,424,423,
367,854,620,620,586,277,420,046,769,580,585,276,808,903,476,510,032,871,259,
240,453,704,216,432,188,165,579,221,892,020,190,266,467,536,722,458,111,447,
868,073,422,705,227,826,736,295,382,086,728,702,739,914,094,845,868,855,734,
533,880,876,374,950,588,764,830,356,239,804,639,591,188,616,854,231,768,407,
022,815,866,452,111,927,027,040,262,025,925,227,139,074,556,442,553,237,950,
118,550,212,028,889,364,920,238,892,793,084,173,498,503,856,154,946,676,324,
281,295,088,292,790,372,145,262,274,343,859,336,113,236,975,361,055,996,457,
378,061,767,065,634,227,246,967,879,940,255,505,554,086,277,984,660,328,369,
471,524,266,605,220,915,067,926,755,472,553,307,946,115,564,331,357,233,351,
596,093,268,713,263,248,338,041,936,217,718,998,513,136,799,669,253,234,829,
376,117,211,948,379,251,642,004,774,318,178,691,623,304,323,458,156,893,530,
348,464,385,973,394,208,971,288,926,728,008,061,487,633,029,830,281,693,214,
290,946,415,833,197,828,977,981,838,424,262,405,512,328,673,301,328,801,090,
542,885,783,833,916,182,281,783,857,454,245,368,006,329,235,128,238,199,453,
522,404,336,336,614,075,606,979,695,719,414,841,590,626,567,481,669,606,302,
561,221,371,465,644,426,770,547,848,328,830,603,021,813,324,026,230,878,336,
769,820,120,110,395,350,004,621,354,637,747,098,338,983,381,610,930,959,456,
101,329,405,731,509,657,285,273,009,701,736,794,357,586,368,971,869,693,891,
609,156,263,257,247,113,645,055,326,003,688,457,938,213,266,254,500,175,731,
870,392,498,356,557,851,830,241,874,375,554,710,854,852,329,290,418,848,796,
156,784,973,583,429,684,116,411,540,643,434,207,529,466,941,520,796,371,740,
827,217,254,406,981,409,641,119,102,369,017,966,968,482,971,131,774,687,718,
351,768,619,062,742,957,153,007,153,370,940,901,533,142,930,039,212,240,601,
977,801,403,125,642,144,429,860,620,648,041,667,266,912,385,188,164,743,405,
491,878,030,898,696,446,093,705,026,455,840,442,128,490,878,762,725,197,069,
725,111,799,195,349,407,377,073,088,203,951,590,100,214,709,689,489,068,580,
334,504,407,573,736,522,490,617,372,455,837,257,399,960,962,868,203,275,096,
157,851,147,907,465,442,120,081,947,130,283,410,601,288,247,777,003,907,479,
970,230,511,414,598,576,743,975,050,297,059,432,817,942,540,124,621,034,572,
598,600,442,897,987,814,636,695,785,469,763,333,352,305,823,173,334,658,691,
253,028,141,551,249,844,601,588,807,986,077,762,064,683,028,654,164,035,912,
802,809,796,982,645,423,732,112,234,606,032,326,404,322,761,525,418,011,993,
805,905,967,263,354,342,157,258,678,603,659,587,090,781,679,760,170,479,195,
471,572,680,928,731,295,906,486,999,129,459,386,237,261,418,053,537,176,189,
793,716,176,416,783,270,348,060,191,827,588,149,496,680,604,233,193,311,708,
793,220,957,763,525,805,454,522,723,610,364,860,604,457,197,320,497,719,327,
748,705,027,839,177,488,818,910,975,788,554,187,789,410,590,987,963,666,498,
563,205,617,300,394,850,400,601,626,245,777,414,495,049,397,968,885,951,521,
740,576,795,286,865,474,867,422,325,401,319,822,962,170,833,564,476,814,738,
908,577,961,330,386,564,256,031,864,521,203,669,320,801,434,422,322,257,790,
821,084,409,258,974,650,616,798,871,425,220,906,883,540,312,840,911,458,393,
057,325,486,267,777,019,218,869,546,777,486,181,880,353,865,779,992,793,082,
704,853,801,704,518,235,750,709,649,623,578,111,551,377,756,043,471,441,220,
649,900,042,452,313,714,169,468,045,277,671,629,642,364,864,749,026,564,955,
550,749,984,941,176,703,156,841,129,464,399,551,527,834,801,176,067,870,953,
432,797,717,671,906,586,521,994,845,696,011,194,645,196,533,939,488,127,497,
459,162,087,390,705,816,833,046,882,549,570,137,829,719,468,641,741,903,549,
068,764,486,353,838,732,358,440,931,805,061,352,804,324,322,066,753,891,939,
095,117,473,656,890,476,774,955,303,913,004,682,021,525,436,607,623,532,339,
078,271,680,683,579,019,917,208,525,318,627,341,042,433,675,598,696,047,688,
336,804,247,862,861,790,009,715,393,275,421,842,489,218,910,487,183,887,088,
060,371,366,386,437,667,941,302,114,815,212,170,537,800,164,371,167,933,242,
135,549,824,769,359,280,350,983,196,933,594,347,779,761,442,047,216,861,574,
535,685,371,836,290,936,024,273,144,162,248,363,076,574,481,771,912,878,230,
810,697,402,515,898,360,618,873,527,056,529,373,492,987,103,199,815,752,421,
730,770,688,620,843,300,989,897,093,687,997,823,569,450,122,455,759,448,305,
604,401,890,687,243,441,606,955,641,384,649,668,625,373,803,253,886,491,106,
863,489,726,662,604,088,857,991,866,735,911,347,052,460,913,273,665,979,464,
276,744,936,074,682,502,126,272,036,420,301,088,282,985,312,089,339,637,530,
398,525,249,046,714,955,831,852,475,277,919,578,145,313,183,073,814,473,310,
198,024,028,650,927,221,114,440,883,955,229,660,627,918,684,885,121,394,229,
466,192,402,500,046,497,106,416,094,600,566,992,075,433,227,532,023,871,609,
796,858,881,965,028,104,135,682,226,925,126,984,774,714,104,270,625,346,679,
748,431,726,792,767,494,135,957,196,553,511,739,093,765,121,875,616,479,518,
532,157,065,272,193,323,471,526,462,499,029,593,043,237,765,431,245,407,609,
292,142,255,257,511,063,784,588,561,067,355,381,353,555,137,928,387,854,127,
421,913,481,589,304,311,556,571,576,563,218,357,569,978,571,716,507,906,367,
613,161,986,651,825,746,218,106,333,682,067,973,944,101,718,974,797,704,090,
744,307,264,453,749,461,860,307,345,139,807,097,615,086,817,153,631,355,143,
567,300,064,180,989,761,004,658,099,712,826,024,575,261,329,694,683,001,560,
909,728,586,205,978,021,091,512,031,204,350,311,986,311,360,839,727,472,760,
960,284,500,284,025,843,461,486,138,789,722,661,895,140,473,829,592,774,649,
751,727,623,955,641,266,147,138,216,091,190,789,061,330,986,745,564,379,133,
654,567,650,528,585,702,073,630,699,716,492,788,056,443,342,873,609,024,578,
061,185,934,285,434,320,229,929,936,178,966,801,550,451,660,459,043,068,309,
887,804,658,679,776,042,337,762,009,362,235,131,438,204,182,485,407,036,272,
636,087,577,388,774,057,739,311,881,414,474,143,896,713,167,995,916,687,305,
278,791,396,843,233,318,399,691,334,224,329,971,944,859,474,610,796,369,000,
846,681,320,637,700,460,608,694,342,132,783,453,834,354,207,576,228,790,250,
919,054,002,204,205,851,492,785,450,594,397,317,622,412,991,928,180,861,636,
098,826,801,200,376,578,404,695,343,307,776,405,545,880,583,067,413,940,164,
312,505,480,966,265,328,248,361,779,845,423,072,524,035,728,544,620,249,806,
409,653,186,289,386,903,911,317,501,759,190,325,869,934,807,623,035,579,886,
907,469,827,429,593,859,857,263,565,028,399,232,469,390,691,179,205,565,631,
386,618,387,631,069,501,507,905,459,261,600,258,168,267,708,851,048,296,605,
037,414,424,902,564,851,474,973,975,089,168,677,659,602,938,471,711,932,492,
004,180,579,203,146,399,674,101,858,411,472,480,804,662,081,771,748,855,333,
586,393,230,607,484,060,857,976,073,883,998,402,289,479,552,006,904,146,540,
084,759,468,517,232,950,918,955,349,937,669,930,239,210,864,876,316,075,314,
476,906,255,784,720,024,779,446,123,203,100,338,872,720,008,011,867,194,881,
834,399,461,333,351,206,087,151,230,482,618,948,078,373,039,181,161,997,933,
010,697,098,713,890,050,929,244,103,056,988,742,568,429,685,362,458,856,538,
476,419,863,477,713,704,666,246,922,210,144,581,119,893,247,821,739,441,376,
787,944,352,211,026,310,565,386,657,395,084,937,835,621,265,064,997,430,674,
493,362,893,513,149,345,449,126,825,570,068,981,480,840,858,585,495,873,489,
074,124,526,702,094,126,199,171,240,376,031,859,808,479,239,586,654,655,390,
130,228,068,779,484,623,804,919,061,675,119,910,423,226,420,732,333,998,688,
882,267,760,054,798,528,371,149,858,003,814,400,188,024,966,645,447,934,116,
476,942,564,304,540,356,878,732,701,385,856,700,794,667,616,701,003,729,514,
982,993,822,289,480,159,763,941,976,890,482,163,594,752,134,252,901,871,636,
692,905,462,440,155,822,331,722,989,662,318,255,826,510,332,844,356,692,242,
035,740,613,253,043,057,289,594,454,612,359,337,654,959,760,382,597,564,871,
138,035,921,452,821,325,443,451,699,075,800,058,308,202,678,672,712,982,506,
769,374,978,128,297,279,144,993,444,173,279,611,046,607,832,153,243,284,524,
392,128,899,494,930,940,336,083,414,432,321,624,118,394,049,517,277,731,666,
105,904,063,947,204,079,695,603,994,871,591,757,418,026,146,061,869,263,580,
741,051,155,338,927,504,995,815,478,743,916,981,981,681,205,556,233,379,744,
694,924,015,778,751,103,376,073,816,013,910,925,165,583,332,659,399,149,037,
591,169,047,289,280,960,311,963,132,935,890,904,244,514,782,045,376,343,093,
292,123,257,780,403,843,698,079,272,360,515,762,265,052,092,677,666,031,073,
199,406,947,576,411,792,288,716,190,299,633,416,089,605,000,673,825,173,276,
702,092,836,016,037,931,793,296,116,030,398,699,980,075,189,564,438,110,762,
820,574,600,785,956,338,397,105,248,294,748,924,674,422,077,006,983,968,027,
282,055,612,072,941,996,208,769,377,460,676,625,594,253,689,071,617,453,128,
532,749,299,948,645,760,722,561,820,520,252,882,232,850,049,196,591,471,852,
182,057,530,189,995,858,781,834,049,013,869,985,070,514,503,750,153,616,528,
543,543,613,754,568,405,638,534,722,240,346,355,472,646,275,242,507,308,427,
996,613,851,853,023,095,989,171,722,688,739,509,393,852,841,271,535,336,978,
899,062,456,513,256,187,669,414,674,475,929,157,131,737,059,896,618,913,969,
792,591,995,762,211,971,465,402,921,861,852,571,122,918,251,351,249,896,503,
850,560,121,227,207,100,050,736,033,421,294,260,052,966,899,146,724,897,647,
604,604,724,957,541,629,107,664,351,907,550,151,472,762,071,075,184,022,924,
139,002,411,827,073,328,185,510,773,463,380,218,135,634,769,819,242,515,831,
232,670,068,305,431,312,786,080,610,849,131,274,488,148,648,059,983,047,697,
400,821,695,012,430,943,258,299,829,982,584,892,359,236,910,103,035,371,125,
733,357,318,817,186,924,084,626,597,409,052,640,279,349,399,500,328,748,899,
160,694,833,287,787,860,382,604,828,087,010,392,873,570,071,126,181,679,518,
108,198,219,946,180,861,299,241,588,629,975,704,272,529,504,708,581,977,354,
422,926,292,343,836,058,040,405,386,207,904,831,038,380,802,589,107,928,119,
634,582,623,698,257,874,406,197,189,345,439,257,370,463,648,477,524,537,275,
919,411,203,170,600,847,774,764,297,745,235,037,220,756,914,285,719,170,230,
712,490,178,261,428,042,169,609,619,241,868,604,570,513,263,235,883,127,530,
891,292,084,767,964,702,014,259,401,078,033,567,589,000,596,420,468,805,272,
604,625,541,280,630,793,279,183,356,990,999,840,994,758,428,099,154,871,442,
262,645,604,882,150,554,340,524,513,673,163,872,756,666,257,333,916,587,588,
942,577,616,537,991,941,988,049,961,603,079,690,009,735,493,628,019,023,909,
430,826,495,303,316,495,562,243,123,899,430,868,213,663,625,342,198,633,103,
380,848,063,086,730,552,098,366,084,285,381,996,236,556,357,798,408,169,921,
814,201,123,809,742,997,098,223,287,471,678,250,436,341,140,808,433,216,080,
060,256,010,099,654,571,195,256,109,066,425,752,665,562,567,207,975,627,956,
056,851,203,337,393,352,390,669,544,774,244,723,809,473,741,020,068,483,055,
413,188,310,723,126,369,131,734,063,359,091,181,062,858,424,791,064,697,854,
484,468,131,348,848,913,524,507,395,104,535,817,018,914,372,237,541,722,947,
066,093,724,952,488,407,170,688,722,454,693,074,251,842,627,668,943,884,751,
586,748,222,716,881,578,463,229,138,249,532,170,210,253,705,013,013,146,937,
367,264,511,540,049,012,604,068,173,148,541,241,903,118,177,385,885,601,360,
441,252,431,699,299,675,557,365,127,751,615,470,476,599,363,702,169,550,699,
319,497,239,760,096,538,792,450,660,423,498,391,256,792,586,037,574,604,640,
400,049,514,444,036,081,899,178,979,589,390,405,192,473,130,444,050,796,197,
130,859,617,878,703,428,779,329,953,272,072,714,545,749,353,675,925,256,111,
409,267,806,421,315,088,969,759,724,037,187,325,001,081,917,268,847,407,589,
062,334,430,569,251,436,178,181,850,252,134,878,193,122,803,353,255,302,078,
595,025,751,778,721,369,595,880,801,139,950,868,968,016,101,592,407,298,468,
826,304,995,213,304,885,867,146,439,952,274,963,714,198,801,922,371,168,160,
963,628,775,750,649,023,084,758,011,364,234,008,919,993,645,083,200,937,676,
726,833,011,909,626,466,859,479,891,240,455,702,489,926,717,744,204,361,023,
616,279,587,241,216,396,491,675,198,774,327,147,551,029,217,480,611,511,540,
529,689,378,738,282,970,220,310,423,287,220,012,342,254,566,706,877,252,805,
168,746,628,567,155,976,348,105,778,230,722,018,048,301,429,370,625,390,178,
940,922,507,650,095,943,472,856,733,681,417,208,927,497,719,528,453,283,870,
128,583,805,809,779,874,758,456,020,008,762,953,726,386,108,336,411,757,974,
013,924,161,441,146,588,144,995,335,177,653,599,733,685,454,070,387,185,319,
897,199,326,210,783,822,746,560,654,089,519,318,982,748,152,241,748,064,027,
795,848,074,185,850,515,923,069,861,930,026,036,632,912,535,832,652,708,234,
063,012,055,465,894,213,546,765,728,367,775,625,071,503,924,200,389,143,564,
786,035,311,614,547,087,458,759,501,476,833,918,470,281,893,932,347,059,600,
429,696,025,155,132,788,917,833,698,906,121,665,473,424,904,204,606,667,566,
304,320,756,886,926,384,711,668,707,203,993,228,761,284,192,302,605,851,067,
591,467,885,065,757,006,771,101,214,652,619,482,867,965,292,067,243,957,498,
494,464,588,885,900,615,239,939,076,205,968,351,707,501,078,469,113,591,089,
608,001,166,650,062,536,828,567,756,265,685,136,165,920,659,457,683,188,249,
594,199,371,492,319,324,823,499,381,857,739,728,418,670,067,711,735,423,799,
077,331,010,124,469,953,298,356,409,113,004,385,960,544,427,115,188,378,492,
843,326,356,166,151,592,522,582,382,388,049,206,555,899,339,117,333,659,349,
858,974,911,993,407,420,076,780,222,159,616,695,460,827,688,284,757,405,654,
084,896,680,083,019,520,112,693,023,034,407,670,955,491,808,625,606,488,918,
861,440,415,654,004,046,837,999,207,708,251,344,397,247,546,055,380,591,283,
004,477,698,889,485,647,668,445,205,444,788,910,045,755,327,675,742,943,796,
793,489,331,014,422,352,097,215,179,518,159,503,448,937,261,579,323,475,063,
091,142,938,596,581,404,673,588,988,935,232,626,546,399,151,769,648,831,451,
505,657,098,321,611,913,170,012,140,033,102,332,436,895,079,893,758,018,863,
021,724,219,732,856,617,562,126,265,805,742,116,838,592,544,009,166,005,673,
078,534,380,114,114,022,995,676,620,927,107,757,917,692,787,495,974,882,644,
229,672,570,146,056,942,061,264,751,522,352,691,872,373,643,007,813,310,082,
229,805,921,997,735,498,579,445,783,935,856,358,660,574,816,115,297,112,980,
566,542,784,723,440,541,387,353,117,555,381,314,716,086,794,858,963,080,705,
470,922,580,722,586,774,536,030,397,176,004,855,379,158,467,495,893,485,591,
230,412,268,441,709,383,093,136,201,110,241,006,208,062,961,119,490,170,187,
642,347,672,991,327,530,655,408,228,406,821,598,024,214,661,520,213,836,599,
143,651,496,109,191,953,287,447,802,341,529,260,125,356,100,983,988,407,760,
333,457,186,368,967,722,490,968,214,874,684,357,205,248,643,848,912,929,974,
042,594,171,527,267,582,151,241,136,871,256,901,166,351,836,650,779,529,588,
176,838,163,583,588,949,607,515,578,271,203,831,247,409,421,397,132,097,352,
321,031,845,784,746,270,262,949,288,536,146,756,402,122,322,293,544,205,016,
398,790,286,402,895,678,632,514,152,132,492,129,095,319,212,889,189,494,399,
388,306,804,500,522,405,326,227,385,045,963,721,685,317,974,310,383,372,285,
920,126,623,713,375,169,241,056,116,041,772,085,545,506,943,690,336,551,134,
189,133,654,057,756,795,108,725,545,045,669,232,610,981,007,862,617,350,896,
792,879,380,177,092,668,101,224,284,027,521,173,508,723,740,953,003,962,756,
862,388,097,498,132,721,986,884,792,554,809,654,627,563,967,315,182,154,127,
202,191,979,198,520,817,632,805,022,456,163,144,306,750,712,025,299,763,891,
425,252,047,593,957,226,966,756,327,654,803,048,920,940,635,820,600,096,273,
542,079,048,006,573,741,766,579,356,824,345,531,331,370,936,003,302,719,261,
507,604,032,840,125,260,023,405,724,272,148,993,244,014,991,783,616,789,323,
459,808,685,525,985,996,577,850,031,068,895,257,014,474,861,380,725,009,597,
145,165,207,750,008,183,500,600,524,667,153,869,710,297,465,885,427,598,880,
456,493,741,514,659,843,554,998,076,771,273,945,603,829,227,665,842,516,364,
517,937,436,991,985,544,679,399,212,862,988,674,110,696,835,162,968,293,156,
733,187,624,067,659,825,711,395,146,874,963,505,232,484,919,991,905,941,764,
293,612,125,476,745,234,638,679,540,967,125,589,271,082,375,359,523,920,224,
260,654,091,358,163,389,679,222,769,967,077,466,587,737,722,702,173,709,972,
254,121,410,857,416,083,772,234,072,442,250,717,189,068,366,787,680,242,119,
101,014,129,050,104,637,570,891,852,273,116,323,100,531,912,653,606,488,760,
282,617,430,395,667,342,268,989,512,571,806,978,162,888,775,613,767,554,188,
472,415,687,334,675,797,008,947,959,623,138,466,067,248,656,249,766,409,221,
270,019,635,024,829,743,852,663,142,888,218,580,579,910,008,136,379,929,386,
045,026,846,378,362,494,286,336,585,295,028,012,212,742,340,036,915,927,419,
850,706,970,371,727,315,750,616,106,408,928,719,972,975,012,819,809,653,822,
221,889,507,501,142,267,578,052,803,906,523,416,297,219,397,394,932,644,253,
825,771,478,463,570,731,981,922,081,014,593,553,158,593,826,005,373,806,683,
289,109,019,364,364,860,187,993,317,101,207,476,645,006,349,966,228,338,530,
506,504,162,161,830,437,129,594,856,817,992,619,935,814,847,669,551,066,514,
644,166,192,527,044,498,966,821,273,142,865,231,694,173,918,332,194,001,507,
776,732,160,874,150,711,067,400,616,167,989,201,458,075,345,682,578,269,141,
756,485,234,519,598,174,682,772,309,363,998,656,197,000,114,934,477,330,870,
500,842,609,956,710,766,988,179,784,742,590,436,483,431,647,883,599,044,344,
788,072,638,087,671,554,545,466,343,534,236,805,670,090,520,376,677,432,019,
709,845,642,687,403,735,740,221,917,072,318,697,693,290,983,776,565,886,218,
742,698,854,061,481,009,962,160,421,039,285,039,010,783,663,052,271,226,893,
964,997,771,654,849,438,308,163,273,129,773,036,638,158,515,511,462,532,655,
614,673,461,856,707,652,709,236,936,786,060,537,462,758,048,337,107,604,932,
728,263,988,748,432,747,141,924,791,136,841,937,880,542,050,000,582,704,281,
834,018,954,878,367,331,708,725,644,842,419,462,346,288,219,116,556,364,580,
288,042,653,509,741,648,488,779,249,859,050,470,714,669,576,117,518,486,654,
301,364,260,448,019,956,450,466,962,692,485,934,034,545,731,037,921,166,171,
803,971,544,482,589,971,935,435,572,970,133,917,831,513,021,423,420,094,796,
459,659,382,128,921,178,836,198,011,838,238,521,159,331,201,039,696,516,434,
351,055,936,239,974,610,965,227,540,551,465,691,510,004,542,959,005,216,328,
497,998,724,302,900,653,409,831,901,323,716,423,218,478,026,711,010,984,761,
093,481,106,476,094,257,742,091,747,332,347,050,886,411,127,489,374,729,006,
176,355,524,000,182,556,413,398,346,759,921,391,627,490,234,077,167,418,911,
860,786,719,766,241,395,081,740,639,168,702,359,047,561,136,280,384,095,049,
002,984,048,412,233,934,368,789,114,658,195,892,835,986,353,154,917,189,138,
995,523,117,318,226,510,787,583,937,246,568,344,006,942,290,270,033,134,951,
189,824,407,047,679,606,650,607,137,878,072,622,682,770,984,551,656,279,292,
369,257,718,047,434,031,837,721,222,534,586,596,889,012,738,617,026,416,649,
012,970,877,443,204,339,105,305,565,785,177,224,615,031,860,559,741,526,204,
737,462,221,620,447,594,050,701,258,679,221,979,660,618,972,367,664,998,250,
281,960,872,960,208,538,051,267,880,777,881,997,756,675,481,647,726,333,115,
143,364,049,293,383,032,438,814,597,576,415,340,959,274,912,976,246,449,758,
143,675,180,109,569,205,038,691,618,744,336,480,381,660,260,336,225,052,398,
002,456,417,456,046,197,195,260,321,870,803,532,441,713,341,240,947,521,445,
389,006,198,580,108,351,871,889,631,912,311,408,047,387,570,898,241,568,638,
355,071,160,229,362,038,812,605,217,152,513,606,134,990,272,387,516,401,262,
719,189,858,501,818,855,560,186,186,409,256,898,049,992,462,380,877,538,129,
392,635,573,523,331,809,589,857,012,967,376,666,647,592,518,842,165,170,057,
016,413,684,293,374,899,944,456,877,337,074,033,753,824,128,943,216,179,008,
849,300,747,290,767,292,752,289,988,534,130,209,237,664,164,446,323,098,227,
028,160,349,860,770,441,023,415,736,734,575,166,212,485,316,412,323,182,416,
691,193,206,848,902,849,268,285,000,219,928,152,697,098,473,584,898,687,026,
309,552,936,027,857,228,854,447,397,137,742,300,180,587,790,571,938,759,367,
006,653,337,126,476,441,656,166,058,456,452,980,619,319,756,383,295,970,447,
323,639,348,029,026,045,047,539,096,619,094,136,948,587,785,430,438,418,215,
397,335,469,019,208,437,448,399,046,554,090,279,827,669,335,459,708,119,274,
543,154,247,104,267,120,118,935,229,400,896,739,818,612,495,295,972,608,571,
268,911,997,004,400,450,393,622,883,466,216,170,714,038,357,597,776,308,086,
888,123,417,494,304,584,225,558,341,295,480,297,117,251,748,546,851,241,486,
560,638,888,937,819,794,084,782,987,432,217,274,812,946,324,065,290,005,463,
049,753,383,367,830,389,531,454,155,462,991,719,144,426,172,869,983,178,425,
855,874,679,595,336,071,832,496,091,839,465,944,562,523,685,382,002,281,384,
104,802,968,067,804,180,530,437,514,343,599,635,594,025,903,346,218,324,145,
642,557,061,183,157,413,732,851,229,187,207,465,796,331,570,419,892,700,524,
203,464,333,546,084,475,121,657,447,639,391,806,432,662,339,936,156,216,795,
094,861,445,456,393,177,295,023,811,938,262,730,111,085,755,951,806,297,777,
071,103,337,795,096,296,043,460,400,747,062,864,954,686,030,979,621,657,668,
631,077,072,160,458,722,416,966,308,809,437,886,269,810,592,598,117,245,169,
652,065,374,588,937,984,757,544,678,448,616,418,240,122,041,575,258,783,120,
925,988,439,299,806,763,901,707,381,364,887,713,722,844,762,875,947,883,306,
815,344,871,071,604,821,151,108,384,575,214,026,317,987,791,853,453,815,474,
258,814,380,585,630,045,540,302,985,457,056,825,272,236,564,775,309,268,761,
209,359,071,355,256,437,266,148,748,665,485,141,384,752,657,583,186,663,163,
791,066,818,028,287,482,416,824,881,789,233,003,498,174,036,909,741,286,830,
243,680,644,185,921,332,506,609,824,218,310,162,041,510,954,105,942,197,733,
705,206,516,531,290,683,707,397,063,282,137,986,579,381,043,508,230,039,646,
854,110,202,005,124,273,109,899,807,307,197,239,945,959,937,568,635,203,387,
928,229,844,031,354,999,719,465,194,472,497,488,350,433,580,051,506,045,910,
116,384,261,215,919,751,948,638,427,102,708,719,951,980,876,937,695,234,142,
405,130,409,971,348,927,452,253,063,505,314,870,154,019,670,963,983,368,683,
846,767,451,650,124,074,093,865,356,267,648,408,286,267,377,359,273,844,223,
155,418,653,480,221,442,707,431,343,945,067,380,068,336,759,054,122,043,636,
626,899,268,081,895,689,873,653,066,516,666,165,398,990,441,932,214,624,001,
909,405,516,508,637,860,487,105,134,506,648,151,260,185,414,402,829,032,146,
324,492,947,112,697,309,421,605,292,526,906,307,142,498,498,714,140,944,786,
512,597,365,424,747,627,873,969,314,183,323,856,530,426,573,481,196,927,080,
496,708,990,546,768,015,876,595,364,284,488,251,668,808,681,195,605,800,757,
184,157,553,971,083,171,080,689,947,237,440,015,042,333,252,494,404,532,730,
959,161,074,107,663,335,628,655,706,659,710,857,480,921,738,447,417,473,787,
576,650,226,140,955,509,263,835,554,415,132,707,744,435,258,408,275,035,533,
385,258,215,551,878,649,231,747,041,463,854,023,344,160,856,015,877,566,794,
725,433,003,361,746,288,344,895,882,536,631,950,775,382,538,568,243,612,946,
375,519,378,780,971,984,455,860,564,685,159,519,376,413,869,174,679,604,149,
835,495,181,987,534,641,132,092,780,768,003,611,060,798,043,203,272,000,891,
177,675,741,599,190,919,703,045,848,305,487,946,832,137,872,590,423,880,059,
390,257,975,266,508,043,080,281,353,179,772,827,612,156,302,877,994,586,442,
057,199,740,384,895,843,593,964,463,446,745,507,643,407,940,897,338,266,087,
585,811,238,573,975,434,593,692,639,066,972,831,423,833,936,967,368,985,788,
234,353,940,608,683,679,392,452,165,596,534,281,717,444,965,114,654,888,174,
812,695,630,724,196,855,923,165,717,479,459,117,554,346,470,755,692,828,698,
028,945,578,231,213,769,734,083,994,837,192,560,067,239,633,068,196,783,039,
721,145,516,140,164,333,459,385,864,293,884,887,382,230,341,982,458,165,976,
197,539,887,349,911,528,916,206,507,259,320,475,184,169,792,059,098,106,598,
637,264,400,623,485,027,800,350,198,338,511,077,080,553,008,482,310,209,765,
282,285,312,917,991,138,346,403,040,692,201,867,862,321,293,406,736,915,591,
152,541,786,756,697,351,130,009,214,963,703,418,004,264,308,565,072,541,691,
083,227,039,965,810,296,856,241,482,801,268,918,009,983,027,737,020,999,991,
592,360,279,254,901,428,528,310,483,962,169,468,286,856,610,395,809,715,119,
291,950,028,922,460,930,033,185,470,775,374,831,789,271,316,543,326,233,843,
092,459,379,942,813,320,257,221,224,438,276,975,881,855,673,179,112,017,790,
145,303,922,531,424,496,145,151,685,218,338,937,750,490,861,276,250,664,660,
465,488,851,111,542,968,414,212,561,886,638,837,335,439,588,643,025,038,134,
220,267,913,083,603,144,457,592,877,568,030,262,027,073,471,656,751,492,452,
564,667,996,878,851,421,803,200,891,358,426,874,648,228,897,415,156,403,880,
440,567,630,284,447,396,355,420,634,582,027,819,632,075,522,737,943,199,890,
870,355,741,345,643,155,008,731,133,156,521,122,834,037,242,169,757,039,973,
258,747,491,244,651,581,422,235,129,811,782,515,694,002,793,611,654,177,614,
388,321,610,204,507,961,234,057,807,537,441,197,463,455,457,918,490,816,170,
582,230,620,274,797,622,110,854,062,145,309,269,138,571,692,168,830,977,764,
499,541,477,362,670,887,026,275,724,914,468,240,183,621,665,689,077,527,503,
408,587,999,699,126,365,514,150,630,250,504,187,461,318,924,179,181,296,087,
803,985,788,583,911,132,107,824,572,840,514,475,961,719,866,892,316,051,945,
152,423,992,106,322,445,616,264,948,235,021,294,131,713,232,671,768,015,280,
134,455,410,283,597,036,555,404,643,088,933,586,454,460,120,619,621,294,885,
628,883,223,096,428,276,976,389,668,697,507,542,632,012,617,007,313,425,208,
562,756,066,655,009,116,413,622,896,308,068,260,837,869,002,349,595,662,544,
312,327,964,060,664,178,012,784,376,698,166,938,702,930,077,687,804,302,458,
125,909,599,830,540,537,657,359,188,556,058,461,638,642,501,815,449,628,573,
812,189,289,166,605,277,133,168,176,843,323,619,803,595,936,245,535,142,968,
856,541,360,648,110,960,616,829,396,322,774,429,708,383,877,350,312,675,736,
522,315,627,954,555,945,062,103,062,717,421,460,610,877,429,069,067,310,757,
623,802,998,532,640,634,861,645,413,637,023,956,451,740,218,150,784,600,893,
586,207,670,787,977,018,161,256,190,677,894,780,727,342,925,388,012,454,742,
389,825,223,473,818,976,265,989,089,346,289,191,506,927,044,826,902,264,886,
136,407,547,054,969,367,758,405,593,491,391,017,459,036,179,891,193,225,949,
799,704,221,412,691,835,092,566,388,879,000,742,853,826,993,835,023,229,990,
964,266,776,247,091,181,969,055,424,354,483,955,428,627,549,310,277,120,023,
079,211,241,558,270,194,789,616,770,727,298,353,029,496,701,763,698,336,515,
639,412,841,541,347,943,204,164,103,807,762,391,081,569,303,700,655,990,744,
301,401,854,322,080,422,695,930,886,815,177,998,995,402,596,086,693,314,367,
637,699,692,183,465,852,152,593,612,270,030,271,319,942,162,981,123,357,082,
998,072,461,885,686,433,127,258,644,040,432,809,708,511,525,498,035,016,207,
729,886,748,222,478,209,175,205,043,359,094,652,983,975,439,264,466,107,566,
802,564,490,946,954,534,517,181,163,062,591,951,569,421,253,652,869,986,670,
041,023,559,495,519,093,081,941,021,014,643,811,889,947,205,945,029,943,377,
023,904,381,122,718,860,918,893,151,688,262,832,347,482,552,567,107,746,782,
890,976,114,466,384,887,523,777,882,108,974,883,405,342,151,711,420,478,881,
641,940,047,106,191,600,882,080,174,798,882,217,869,653,359,207,210,150,814,
060,093,010,637,709,907,338,919,727,621,558,243,098,223,704,675,157,817,823,
781,073,753,603,580,234,539,306,376,029,112,417,202,969,932,713,661,815,901,
336,088,969,363,459,062,753,015,477,252,905,013,105,267,248,419,988,715,421,
829,170,595,317,878,730,664,226,274,446,366,137,145,875,996,539,493,468,120,
523,511,840,497,532,882,843,553,440,913,920,510,846,349,916,003,933,237,997,
126,780,972,436,303,105,136,987,488,107,142,884,633,787,269,277,593,483,105,
421,934,281,847,835,736,738,019,109,130,611,218,065,696,490,600,494,599,033,
345,880,565,299,219,079,934,752,732,404,662,477,738,933,203,155,818,501,726,
770,559,941,481,369,825,802,763,447,888,420,652,612,074,533,386,391,931,222,
515,547,874,724,951,717,283,064,335,421,534,433,470,237,450,720,394,790,057,
726,651,615,202,391,594,140,285,662,996,171,982,774,960,905,989,747,033,183,
336,299,766,365,779,441,667,638,424,292,835,870,964,122,969,020,950,499,557,
869,862,983,358,562,353,275,011,044,796,715,062,621,249,648,027,022,042,166,
444,532,375,121,961,038,440,400,684,140,855,126,298,103,293,721,608,640,173,
510,385,926,285,187,368,383,365,986,387,515,921,772,115,914,438,521,147,667,
530,283,292,883,568,762,815,316,828,311,443,106,411,703,264,802,344,508,211,
986,914,875,571,739,311,880,064,019,208,317,089,272,383,636,428,192,123,160,
186,096,686,507,577,528,857,635,552,989,184,931,590,953,641,719,546,464,984,
300,943,044,657,169,874,817,160,503,549,889,665,755,348,800,328,368,478,173,
602,237,095,742,680,998,340,860,522,308,881,689,976,331,325,918,794,421,622,
662,571,016,795,442,826,090,716,119,356,122,608,218,286,414,579,265,485,663,
527,241,533,198,483,354,784,405,067,289,588,786,920,921,149,975,578,443,377,
155,327,900,279,705,933,740,402,303,855,949,147,395,514,640,134,974,114,006,
693,931,220,729,377,835,735,092,293,154,141,093,742,909,882,858,882,969,891,
433,041,533,160,628,545,592,908,104,331,369,828,811,492,659,404,133,341,533,
037,892,539,303,294,030,732,599,422,716,089,157,957,710,772,248,013,250,963,
524,506,219,779,679,866,791,597,082,142,221,012,030,996,077,788,839,070,839,
722,202,225,240,002,195,361,104,025,000,321,795,960,160,223,676,552,695,676,
818,156,157,652,735,320,587,993,984,434,382,922,063,414,957,297,672,079,014,
300,644,699,296,815,325,969,113,978,320,891,060,037,221,789,251,977,730,555,
042,567,249,766,839,943,318,371,412,988,110,073,142,242,418,537,092,661,001,
026,164,941,724,085,525,108,859,372,733,366,383,433,862,517,670,103,733,419,
554,435,141,412,350,748,453,795,212,357,597,015,150,309,495,031,343,191,986,
427,781,602,768,707,350,074,967,882,124,197,751,081,745,932,649,244,972,183,
895,937,970,585,890,119,812,447,337,066,812,357,311,084,634,239,108,999,245,
898,159,888,731,566,585,982,701,551,601,136,484,736,200,593,141,745,558,960,
604,200,253,356,752,582,115,299,755,606,283,056,887,140,928,305,381,968,023,
609,363,424,677,414,865,823,704,445,970,252,672,817,543,326,757,886,910,629,
117,365,020,420,225,634,151,871,250,313,533,128,934,514,616,484,920,185,257,
696,520,176,341,194,522,078,361,571,547,106,927,663,432,885,570,110,915,623,
887,554,072,086,502,679,623,516,441,371,855,198,261,530,920,947,309,488,060,
927,631,904,248,260,730,347,392,690,858,052,963,544,101,289,131,755,177,081,
915,987,902,452,364,574,585,508,279,349,635,415,904,978,509,139,128,417,773,
825,550,851,712,284,806,809,017,130,451,931,729,614,240,676,965,450,489,745,
528,878,042,910,054,855,179,168,692,251,200,728,569,053,062,466,892,947,257,
590,106,436,291,043,227,358,716,182,950,338,860,743,340,915,213,174,761,547,
679,137,149,793,939,644,661,623,558,696,496,421,075,372,473,190,112,395,904,
728,185,662,031,705,253,135,908,798,970,954,433,088,802,784,484,798,657,504,
992,545,458,415,028,411,361,563,878,976,334,163,703,181,099,340,880,895,106,
113,331,407,593,175,574,561,381,600,534,743,945,574,145,122,425,016,407,733,
618,296,266,583,083,159,431,024,573,233,547,437,926,877,141,588,700,090,838,
322,832,684,776,563,320,191,337,839,331,179,409,257,479,787,093,458,950,672,
806,478,668,805,351,895,698,884,494,027,520,928,369,040,732,636,751,597,403,
363,653,057,679,349,075,261,050,510,897,206,037,422,329,175,855,715,341,652,
025,430,107,375,636,610,404,669,560,825,702,767,580,509,871,140,716,984,326,
948,903,596,163,185,693,299,758,037,181,734,562,617,695,117,838,537,782,153,
996,419,515,677,829,048,331,629,190,439,706,147,466,815,156,292,985,262,091,
282,444,440,761,100,408,811,569,252,538,501,405,876,752,762,873,721,193,098,
790,870,432,881,307,558,806,043,296,382,255,981,539,333,063,241,620,118,532,
646,292,968,441,163,769,404,472,481,142,563,120,564,686,053,971,801,850,745,
960,387,596,745,577,580,022,899,181,243,752,045,498,297,221,702,571,191,597,
131,486,791,296,708,983,742,299,355,234,161,477,353,281,877,735,265,000,256,
951,096,258,365,034,491,540,217,553,718,473,862,242,765,479,434,777,668,254,
539,344,886,395,684,243,546,043,456,821,801,720,851,106,691,251,630,889,809,
523,902,018,589,956,037,238,404,138,845,770,938,228,095,715,453,787,332,521,
796,353,576,978,456,458,855,319,994,257,606,201,596,226,147,573,013,707,931,
629,838,356,438,420,796,384,102,814,315,653,672,665,401,578,523,608,459,354,
723,296,672,913,299,400,162,285,904,104,537,791,409,454,514,978,654,655,147,
919,023,198,586,919,793,732,271,991,190,814,971,240,276,599,645,550,109,317,
047,365,487,515,395,796,952,210,514,298,424,013,960,384,319,729,631,530,009,
979,188,816,982,540,978,166,215,489,966,757,128,918,399,172,912,857,989,176,
347,075,265,288,842,241,402,553,377,613,462,571,605,229,902,263,631,175,838,
233,054,755,952,415,960,847,921,578,221,798,489,982,278,173,650,192,133,385,
455,630,361,808,106,227,407,566,292,530,545,106,985,392,444,792,585,579,721,
902,371,472,522,012,669,958,973,458,726,403,006,369,755,534,673,843,489,276,
813,743,974,115,926,274,831,086,935,351,464,480,497,225,032,979,708,648,393,
764,974,024,213,247,503,246,599,211,240,409,422,592,332,190,219,597,400,735,
072,378,265,685,630,639,231,066,419,224,309,919,872,473,454,337,807,446,285,
074,996,460,961,453,960,615,517,986,601,044,353,502,173,438,939,583,566,957,
315,607,000,103,258,804,782,878,893,530,077,387,451,746,500,323,862,686,531,
364,754,540,241,358,525,664,143,304,964,861,196,821,106,489,359,171,140,570,
344,966,920,509,578,676,982,818,861,664,909,986,016,548,993,309,976,369,207,
657,321,465,150,955,631,053,486,202,558,826,474,384,368,370,860,634,037,770,
144,870,240,576,707,995,996,889,063,787,602,992,592,738,687,910,462,691,748,
561,236,081,654,442,206,449,372,468,456,143,455,033,845,551,291,852,303,414,
912,043,770,566,157,889,737,749,968,895,264,039,571,829,970,459,081,969,781,
486,011,742,647,728,768,388,567,703,375,731,576,582,227,213,082,919,822,580,
528,836,756,405,161,534,553,231,523,780,284,989,885,274,198,229,714,344,859,
204,644,594,711,212,483,456,518,757,217,887,200,354,224,264,350,241,106,006,
655,831,019,812,848,702,795,972,570,132,434,904,774,625,251,781,243,738,296,
973,618,291,225,932,519,489,473,213,140,576,968,453,202,522,463,007,155,240,
538,962,992,215,840,464,135,774,651,310,061,855,056,879,563,552,960,172,208,
564,347,722,797,729,429,794,791,225,932,596,511,170,439,785,752,405,639,234,
616,124,913,313,767,594,174,570,399,469,380,402,923,745,893,688,456,508,743,
525,550,233,081,771,532,001,979,256,988,525,602,473,392,945,962,289,422,547,
733,627,609,590,182,366,835,764,023,934,505,173,396,400,888,129,725,410,230,
059,328,278,792,904,679,236,930,051,989,618,141,901,396,757,129,154,566,804,
529,820,615,187,141,330,149,164,899,892,329,094,983,642,672,527,919,262,971,
817,454,533,269,261,660,515,615,288,951,150,880,460,353,684,783,148,693,381,
198,858,181,387,655,770,062,053,589,872,493,687,928,356,928,259,737,725,653,
833,002,981,922,186,320,284,218,368,170,653,937,791,286,454,817,081,470,396,
640,834,440,776,823,721,589,427,220,028,762,263,294,033,754,771,685,441,525,
748,811,839,004,768,124,446,573,356,047,227,800,007,192,913,272,481,096,564,
986,459,864,481,076,365,132,270,817,800,934,219,907,175,214,212,230,994,265,
607,660,786,753,533,968,689,561,217,050,182,131,620,221,611,733,401,436,450,
500,822,131,749,543,901,368,525,626,409,431,410,138,276,619,250,084,468,825,
154,287,567,090,472,809,354,510,211,668,916,646,401,850,175,317,834,753,605,
442,165,683,510,340,970,058,465,553,294,348,913,710,903,543,173,034,879,611,
770,734,423,379,791,709,094,218,224,996,242,620,015,337,411,827,230,624,114,
893,976,641,303,579,062,079,788,041,068,359,344,272,459,770,790,742,555,970,
277,515,500,506,783,521,663,543,821,006,352,226,712,090,892,215,825,920,311,
092,687,490,364,120,448,569,960,534,383,611,064,023,327,915,890,500,397,126,
560,573,604,589,972,681,890,968,623,806,153,933,943,445,939,238,451,296,709,
576,454,384,745,941,616,854,428,463,765,085,159,454,402,958,524,902,645,807,
482,759,529,214,080,948,544,252,161,324,732,390,849,520,699,954,915,084,880,
110,647,337,453,233,311,281,175,029,089,196,991,186,538,591,632,893,185,856,
404,704,232,338,633,408,224,170,702,963,034,068,978,494,245,335,246,418,972,
900,120,994,085,501,553,340,391,663,738,977,513,160,173,212,853,956,285,608,
247,323,349,871,821,801,807,259,814,991,755,618,151,970,700,670,968,968,101,
380,545,561,047,548,805,328,931,311,167,633,898,135,154,646,272,003,971,589,
673,164,691,859,818,016,851,293,235,290,353,351,159,223,330,482,092,684,961,
396,913,272,311,934,853,879,311,232,780,586,890,705,430,923,834,146,083,702,
217,801,816,700,220,159,585,794,753,581,495,231,546,958,204,704,724,753,998,
391,344,550,129,284,179,361,179,747,240,652,651,954,928,646,624,527,796,974,
024,077,610,715,187,223,844,023,822,257,081,594,646,998,510,312,001,237,266,
435,946,157,787,684,355,223,554,338,487,468,278,163,215,087,882,088,248,945,
974,144,246,254,775,533,610,659,011,516,257,859,041,178,739,735,416,072,825,
815,847,482,307,703,926,672,103,413,145,455,578,132,956,783,834,635,565,049,
584,225,111,244,557,527,155,359,078,201,605,198,422,880,082,647,118,666,137,
173,411,300,821,677,997,142,273,046,442,957,416,026,765,185,162,456,831,629,
033,746,164,097,270,424,823,701,299,489,042,204,367,579,399,355,001,799,273,
001,188,194,919,269,249,107,403,382,504,639,823,101,608,523,096,032,611,359,
918,141,727,296,636,659,944,929,316,115,099,970,259,916,626,625,517,526,057,
983,932,019,416,876,163,994,000,342,719,875,451,729,273,887,347,226,534,654,
770,837,555,142,592,046,211,495,191,766,638,853,330,384,431,853,761,067,481,
697,035,445,514,900,021,450,653,696,785,230,379,426,994,119,024,115,798,620,
351,931,520,495,241,157,173,939,787,818,559,567,976,276,533,989,648,212,469,
667,876,192,040,445,725,280,372,985,692,381,886,578,144,806,607,391,490,468,
206,582,387,619,753,414,701,263,055,652,772,946,594,287,847,039,670,814,018,
196,952,461,667,546,404,105,766,572,233,318,771,367,770,067,924,269,117,075,
144,515,749,204,623,168,388,444,567,280,100,612,421,898,124,333,777,370,732,
218,933,666,823,503,370,144,988,312,698,391,436,319,302,072,013,023,558,115,
905,521,348,204,862,843,058,919,388,037,975,963,706,511,676,451,243,916,595,
386,827,724,200,573,618,713,730,903,822,756,786,221,273,347,792,962,576,097,
209,889,898,219,627,857,723,895,097,506,853,722,346,938,374,690,888,833,666,
945,950,206,588,208,456,872,831,663,021,342,389,117,686,974,251,898,043,034,
069,677,328,991,244,944,547,404,283,897,471,772,529,246,046,269,220,110,894,
827,337,842,257,108,437,945,336,032,150,511,294,708,147,940,457,720,761,916,
961,997,492,846,779,095,608,120,640,702,054,878,191,111,611,795,332,967,093,
768,065,079,134,443,369,984,016,167,729,437,073,765,585,483,278,532,239,589,
329,445,030,762,054,645,712,866,183,295,023,850,440,397,535,530,799,916,351,
658,661,135,457,729,220,011,908,711,102,601,660,573,057,224,291,801,030,225,
924,637,567,969,260,427,363,264,797,800,183,941,015,871,156,675,022,975,032,
655,520,113,573,595,000,457,294,246,439,054,110,324,600,162,853,863,475,819,
501,408,012,066,512,562,114,159,463,031,547,787,327,038,238,821,125,096,987,
514,813,607,999,109,294,417,549,477,841,631,746,547,031,830,843,603,511,149,
454,021,433,324,867,119,233,314,983,992,767,064,355,339,758,633,018,583,426,
000,663,909,260,267,852,400,238,161,701,193,379,654,899,986,203,029,979,116,
824,330,527,039,240,274,207,811,957,746,063,358,743,040,427,578,551,691,913,
928,498,385,799,353,171,302,883,896,232,136,970,937,452,251,435,032,209,408,
399,425,680,906,688,960,863,228,652,522,484,626,069,883,101,235,107,780,016,
668,782,988,828,817,023,397,346,146,565,654,368,612,163,096,446,229,150,518,
813,537,214,115,268,672,027,766,770,915,107,032,805,885,914,473,595,730,572,
857,077,698,069,125,862,657,359,533,170,720,228,574,160,626,173,099,722,656,
559,686,660,692,664,982,633,449,794,350,982,644,576,971,418,205,562,416,268,
294,745,617,041,160,437,004,722,827,085,707,129,605,737,632,039,153,648,525,
747,232,689,459,086,130,737,352,809,973,860,106,701,497,356,010,039,617,473,
037,158,247,623,210,783,894,913,989,390,559,091,920,022,177,344,064,146,652,
611,063,418,463,781,180,264,990,555,994,739,470,779,823,177,209,330,910,584,
225,325,695,566,894,563,450,021,050,389,889,684,185,394,134,231,810,135,876,
820,486,864,277,393,592,303,126,579,794,847,121,259,461,486,564,824,168,047,
542,989,559,952,889,246,758,823,193,567,549,506,370,020,362,747,129,890,357,
836,555,060,568,597,612,775,248,110,752,660,295,188,507,818,889,354,480,858,
066,092,245,574,694,753,020,669,528,659,025,423,210,260,831,313,918,925,959,
306,006,936,731,871,075,449,056,381,827,853,131,106,841,722,083,256,053,343,
616,517,766,262,413,840,640,144,642,028,864,668,189,895,949,432,200,789,197,
319,737,907,927,075,869,056,373,134,753,152,925,638,485,023,648,783,106,934,
459,557,347,293,097,565,454,894,959,509,621,106,253,178,961,776,858,713,024,
894,936,273,726,254,235,715,179,430,696,867,245,179,499,214,086,750,502,354,
775,785,874,720,657,910,650,989,651,668,170,214,576,756,968,512,780,653,737,
084,683,408,042,848,002,618,979,013,183,668,769,208,291,327,577,843,961,237,
638,603,896,126,458,601,995,817,895,711,003,878,683,666,737,480,760,949,415,
601,360,208,851,879,844,230,388,223,022,282,778,307,053,058,488,151,011,970,
541,087,012,252,018,299,696,815,935,110,935,582,147,019,515,051,289,578,095,
833,107,628,643,736,683,578,143,038,286,265,045,284,600,104,725,180,302,527,
504,603,365,530,743,733,874,470,044,648,107,280,184,913,792,441,752,521,930,
205,095,699,641,520,155,009,638,789,459,664,019,783,087,996,519,423,149,122,
717,972,004,658,403,631,978,126,264,825,352,170,683,664,830,259,574,563,499,
864,787,917,259,906,329,009,492,801,675,969,507,574,967,244,231,871,924,263,
417,303,413,806,787,209,320,131,006,752,327,342,536,818,616,614,016,738,154,
355,164,238,597,959,957,062,895,351,422,859,220,727,213,145,078,745,461,730,
151,989,920,232,323,644,337,412,611,776,225,718,556,694,675,254,807,180,616,
192,410,015,050,947,470,345,081,765,672,275,719,818,441,320,520,975,748,352,
829,969,577,561,500,713,247,485,642,760,739,136,153,838,453,209,202,784,512,
950,759,877,161,053,945,657,025,661,277,296,579,465,657,077,624,074,806,998,
750,971,959,024,924,189,503,851,039,396,394,340,006,833,592,888,444,578,069,
214,227,369,649,767,563,491,097,177,193,001,828,148,183,701,804,954,581,060,
363,967,452,717,975,906,321,186,678,065,022,498,997,844,714,312,357,269,459,
155,751,214,080,317,650,193,364,343,884,353,661,823,495,258,418,878,983,772,
214,029,830,955,041,427,212,084,911,228,158,872,248,367,558,860,589,089,580,
603,360,734,395,255,713,538,560,919,819,825,742,607,420,050,678,858,585,178,
690,811,524,110,471,504,976,342,746,674,835,030,240,487,114,178,777,546,529,
031,735,922,044,747,570,477,301,937,164,813,345,273,531,388,424,185,990,781,
566,496,851,229,561,133,191,717,219,104,644,438,563,204,560,922,242,196,388,
127,986,320,901,183,506,176,800,875,474,503,770,766,787,484,092,830,238,846,
383,297,924,344,991,993,737,049,453,203,462,550,786,141,167,631,023,545,978,
034,873,872,363,616,188,488,003,986,463,081,654,118,348,918,510,820,052,860,
514,254,277,232,129,879,398,104,164,229,427,482,362,578,344,090,268,021,756,
994,481,303,146,939,974,215,318,355,668,954,276,184,485,638,185,193,770,147,
593,751,103,788,517,368,302,234,448,555,689,479,705,089,563,446,147,822,251,
669,916,136,740,424,156,061,208,153,030,597,324,234,238,392,437,273,075,715,
424,804,591,980,923,850,455,222,559,579,166,844,796,918,201,100,192,506,779,
663,824,195,879,598,142,658,465,080,107,246,129,638,941,648,463,829,040,359,
423,513,803,775,441,509,155,697,127,503,491,953,241,933,195,985,582,235,096,
452,891,080,354,676,568,549,589,685,942,993,182,980,703,965,566,563,249,994,
680,610,308,096,471,425,607,610,641,182,522,864,761,521,080,268,311,073,869,
265,241,712,651,718,547,088,706,261,811,421,625,947,923,763,881,775,285,877,
349,734,668,809,209,021,962,450,107,353,823,939,231,294,705,534,971,877,324,
370,718,528,874,151,315,163,613,492,692,661,540,024,680,230,298,392,515,603,
089,968,260,389,602,517,116,210,362,930,655,697,145,834,934,254,970,046,866,
175,623,624,714,611,180,395,773,317,673,601,256,041,137,650,418,794,567,231,
197,986,187,480,936,620,278,131,256,379,617,349,997,076,959,310,765,337,195,
250,420,801,531,303,497,368,933,975,978,513,119,133,016,084,108,823,335,846,
473,188,413,711,538,354,875,868,199,437,737,459,122,796,710,327,685,135,011,
803,468,208,884,007,765,175,509,581,909,489,975,146,234,621,262,703,547,613,
537,564,482,904,091,577,792,632,684,176,497,400,600,811,927,381,619,637,325,
546,264,962,795,960,088,071,102,309,878,747,944,867,227,103,456,492,118,624,
880,848,522,253,639,932,571,839,996,210,506,577,873,448,720,536,715,612,630,
531,940,739,183,884,915,526,089,974,874,924,854,836,430,108,875,155,238,879,
029,043,311,834,967,393,690,254,871,172,286,850,621,164,503,976,639,791,298,
468,420,394,786,042,634,478,226,804,045,128,211,361,866,080,867,587,222,688,
082,328,270,332,097,336,582,492,655,471,993,038,318,495,558,634,452,178,145,
861,740,449,734,964,344,767,614,077,142,992,552,672,664,884,557,047,776,362,
930,680,709,325,202,608,929,591,272,103,852,274,070,932,056,584,188,488,081,
471,533,305,484,279,376,115,233,873,302,794,519,326,196,976,211,915,720,125,
974,712,986,916,011,232,910,515,461,022,160,538,375,359,432,342,299,548,442,
187,756,707,065,901,839,965,224,229,344,896,711,939,023,510,241,629,869,077,
888,145,074,667,997,705,684,253,198,549,998,862,168,560,734,158,982,722,062,
070,020,414,151,932,632,230,161,903,643,973,015,463,306,819,773,541,745,877,
097,208,287,407,880,560,184,503,615,498,356,039,133,474,643,584,331,534,858,
462,515,405,828,792,773,100,338,011,454,414,201,329,515,623,689,332,481,734,
594,560,059,273,851,485,875,827,322,691,957,827,198,478,432,217,407,857,162,
595,700,694,447,416,003,306,203,690,145,625,914,939,291,070,479,209,969,904,
339,245,221,334,665,572,542,167,378,020,632,161,274,731,091,029,187,972,665,
042,155,332,913,193,768,992,875,134,592,901,007,333,250,295,488,705,604,814,
458,843,992,448,548,017,584,457,584,013,305,349,802,997,951,705,469,850,212,
027,468,689,733,893,774,081,354,438,247,483,759,668,865,912,029,728,672,669,
548,669,689,010,583,101,207,525,741,186,701,717,041,439,431,614,019,881,251,
233,795,043,772,040,183,687,397,164,779,013,952,385,188,380,893,043,793,832,
452,213,698,955,578,659,505,782,724,544,193,423,675,862,407,797,189,104,219,
573,317,849,849,027,894,006,364,648,142,770,659,078,010,395,652,925,950,230,
392,960,944,791,880,487,811,071,933,236,949,644,887,141,443,161,258,495,608,
555,510,058,382,460,901,091,924,223,825,608,673,974,114,871,502,612,788,080,
314,464,607,674,793,400,636,285,157,175,428,164,843,186,255,866,401,629,480,
086,108,619,941,360,999,730,720,346,506,826,436,630,181,172,041,042,040,937,
752,360,287,481,875,202,103,690,288,555,141,596,591,364,324,648,821,394,977,
167,647,859,713,008,534,135,662,437,976,737,584,613,355,362,425,813,494,031,
614,072,492,565,782,404,205,504,863,555,072,364,224,327,077,047,040,437,890,
983,416,874,797,312,304,723,131,172,310,304,600,378,191,234,967,259,469,068,
952,202,263,553,088,405,755,630,490,356,589,882,402,714,485,592,107,160,492,
885,264,200,610,284,140,807,989,864,642,893,223,549,085,307,004,018,186,566,
193,944,587,965,026,686,517,817,384,792,157,757,724,899,111,854,430,415,177,
051,253,024,647,436,040,785,595,080,965,107,408,786,691,251,473,486,201,518,
624,796,832,840,523,086,266,427,041,429,413,776,720,147,881,196,441,679,037,
800,403,332,084,997,944,962,931,583,022,726,895,161,364,644,938,890,606,198,
401,458,372,757,540,022,677,121,380,927,111,758,182,401,245,636,871,186,729,
365,553,244,662,030,640,330,455,775,073,732,364,415,261,243,165,540,749,220,
243,844,733,111,974,698,348,134,175,486,285,651,278,450,581,364,468,847,022,
653,945,791,141,720,594,143,223,075,208,559,628,457,622,534,853,502,020,225,
188,435,065,969,203,813,463,104,092,972,802,967,101,253,232,545,667,851,671,
987,957,719,568,600,191,679,615,036,591,674,929,822,730,644,989,129,481,692,
803,341,084,113,005,281,938,709,506,791,629,302,304,158,974,575,851,706,022,
288,239,805,420,704,039,991,772,053,533,854,836,223,389,934,050,995,034,544,
572,136,316,326,565,901,561,688,739,309,918,944,701,036,608,858,116,990,446,
886,380,935,349,525,752,426,934,734,640,937,935,076,206,989,344,775,158,527,
402,291,478,163,711,127,300,591,040,449,217,459,673,866,612,261,974,897,934,
478,883,288,003,155,447,764,355,006,382,085,247,377,904,863,354,720,720,623,
774,429,319,212,436,790,907,432,956,411,157,937,366,956,468,948,544,672,858,
165,590,875,491,547,464,533,801,195,537,578,615,159,923,649,816,188,619,363,
495,207,834,537,299,394,197,841,723,321,533,111,054,248,408,430,945,145,147,
266,681,901,932,877,134,456,862,823,315,609,401,573,453,200,651,822,248,060,
992,999,151,706,814,295,782,184,391,793,158,198,776,139,956,305,152,124,134,
638,048,724,103,506,131,169,075,773,068,865,521,013,605,270,425,211,508,484,
373,918,977,711,396,820,590,747,180,154,127,382,605,639,415,429,228,184,208,
695,930,645,852,741,368,492,350,815,696,579,336,397,497,714,580,971,400,701,
554,065,694,218,542,310,953,473,336,935,987,655,202,957,811,838,888,142,233,
419,516,388,022,986,463,459,306,701,347,978,768,732,401,899,625,125,428,363,
511,433,072,632,301,692,318,648,155,211,414,238,763,774,444,827,803,940,402,
716,031,906,484,482,146,672,988,592,221,694,131,032,238,306,377,061,011,142,
158,246,901,705,764,148,527,056,835,128,994,104,949,648,610,832,399,819,730,
412,802,622,983,793,381,718,177,137,679,231,804,848,555,271,141,897,512,704,
949,677,332,632,027,899,174,256,925,763,147,138,418,651,351,109,290,700,185,
754,455,577,864,739,911,824,179,931,077,256,876,877,257,520,085,926,417,128,
042,562,900,586,064,545,767,079,496,200,767,945,118,778,438,637,757,985,498,
579,509,713,982,706,434,862,028,947,252,563,758,084,687,794,819,236,843,636,
470,440,227,568,667,296,128,753,895,504,718,751,923,701,996,775,028,701,413,
700,457,732,820,881,835,738,565,113,279,643,185,429,612,309,251,389,280,865,
540,080,175,236,604,941,440,352,730,538,510,044,448,351,972,757,308,343,833,
825,185,113,030,302,581,894,102,379,649,846,524,435,453,166,606,389,257,488,
415,348,026,382,582,938,726,762,413,206,149,062,203,930,643,030,394,713,216,
848,434,477,852,462,371,773,402,269,412,870,047,977,678,286,857,486,552,486,
915,319,287,669,839,240,473,590,708,091,227,215,352,267,072,012,894,353,836,
288,547,211,038,844,915,307,322,190,673,309,341,778,563,901,733,251,598,432,
702,965,017,207,120,960,542,469,557,108,328,588,204,903,025,725,727,220,547,
722,704,370,091,818,184,691,096,654,782,343,694,340,420,387,427,578,170,949,
879,442,968,396,019,187,251,172,923,539,092,885,856,745,729,538,376,507,581,
042,214,057,100,544,055,973,385,038,311,911,854,219,853,743,682,021,938,961,
246,790,963,576,557,872,690,924,610,118,285,360,918,117,787,703,595,022,028,
651,927,239,747,036,836,932,123,146,187,717,153,471,531,167,862,461,713,993,
205,486,851,614,298,871,671,862,373,502,893,153,602,367,577,921,615,124,245,
113,329,048,789,631,970,363,958,059,731,922,053,336,476,410,698,796,560,101,
631,578,021,227,649,990,456,466,672,021,309,954,649,860,066,949,381,174,825,
015,154,815,705,344,244,022,008,969,348,731,943,017,881,562,901,466,500,928,
634,785,954,811,915,948,014,666,045,990,090,779,401,754,604,924,423,171,996,
508,339,077,160,340,356,927,223,320,520,370,514,734,274,901,271,448,824,137,
817,087,639,770,940,129,996,947,866,590,589,563,399,535,011,916,833,478,036,
806,071,106,764,501,652,689,080,046,537,641,276,943,965,696,044,782,177,024,
728,018,620,970,747,511,642,564,412,034,689,967,468,923,390,820,241,357,327,
081,044,672,429,846,907,382,939,463,636,566,493,414,343,063,602,008,650,096,
508,559,060,331,490,577,696,827,796,746,110,004,632,330,171,746,373,219,127,
355,807,106,748,981,888,071,060,863,732,741,218,432,945,610,519,961,807,980,
167,205,806,196,456,070,475,997,930,881,221,996,640,360,411,211,456,503,639,
692,290,013,397,938,882,477,787,263,189,414,789,014,857,649,938,362,994,847,
000,990,494,015,748,524,791,079,348,932,858,069,136,598,267,887,455,797,503,
354,392,529,673,626,204,179,519,825,515,535,674,628,655,701,504,395,395,522,
852,307,004,473,682,498,546,813,804,730,965,409,684,514,236,895,999,155,578,
827,314,935,476,525,079,757,910,320,658,893,074,988,623,284,797,209,843,627,
600,559,181,398,557,529,710,330,197,363,148,017,891,915,143,546,093,600,841,
968,400,649,325,225,786,413,073,357,944,095,841,161,204,428,994,600,558,845,
267,964,620,312,892,495,726,726,719,764,059,884,516,868,170,855,734,100,600,
601,075,700,450,836,363,886,612,846,177,247,448,587,166,374,401,524,019,826,
489,281,300,527,304,840,375,495,159,960,529,675,619,200,500,500,985,456,504,
278,987,664,593,431,677,374,697,542,034,375,843,774,782,137,823,732,794,638,
100,366,419,284,027,377,658,035,776,094,411,737,538,458,994,051,610,327,370,
100,812,551,845,654,213,876,153,127,218,371,486,334,914,004,119,992,050,692,
099,407,544,017,857,430,762,878,712,020,307,205,393,360,795,797,730,272,795,
241,632,520,752,486,393,210,313,817,316,512,525,290,042,427,604,000,311,147,
096,367,853,238,403,372,836,229,494,189,190,129,790,086,899,770,159,410,678,
565,071,724,936,618,585,759,859,099,691,030,364,489,997,541,298,231,292,999,
055,959,564,352,616,344,113,989,423,096,971,774,885,576,000,262,558,629,493,
914,519,857,466,912,933,010,690,463,413,432,029,680,691,265,590,034,048,488,
942,985,866,251,822,683,607,807,031,047,006,894,039,373,149,644,356,400,900,
753,442,489,329,812,229,671,535,101,871,806,858,135,698,035,776,903,037,888,
353,472,911,470,859,537,239,352,167,295,778,164,918,469,917,027,683,038,012,
467,282,704,750,904,923,151,310,446,561,068,863,027,523,539,933,307,876,644,
731,601,929,968,494,147,861,403,968,557,451,490,122,789,733,873,436,569,772,
955,571,143,109,985,510,169,009,311,950,340,688,376,733,833,334,535,748,861,
043,597,488,756,489,570,330,668,361,456,177,880,878,455,929,800,729,793,695,
122,978,329,016,733,383,522,916,045,619,399,467,206,798,811,551,325,148,390,
546,998,280,058,847,358,969,086,099,681,649,415,600,582,385,855,539,999,638,
151,966,148,086,757,914,699,985,004,938,850,959,143,105,058,271,929,814,694,
459,383,084,885,030,073,828,560,739,185,835,781,436,969,856,743,282,464,456,
447,649,566,552,494,795,358,160,403,059,886,082,920,412,962,555,787,157,173,
941,802,024,567,127,985,549,248,875,013,128,917,964,068,489,390,638,958,566,
388,409,018,038,902,088,052,609,080,830,027,286,749,771,130,658,611,184,160,
461,406,520,831,652,272,024,354,825,740,695,775,672,844,074,595,422,363,151,
861,782,450,505,997,955,862,483,419,371,182,639,335,366,977,248,175,437,945,
487,992,040,868,664,880,111,159,551,945,101,904,426,743,014,381,978,832,694,
518,033,094,785,608,933,815,334,643,930,654,266,522,169,145,026,117,749,780,
190,536,161,733,346,438,579,457,182,956,633,562,724,210,858,730,311,554,595,
036,414,917,326,282,163,019,070,295,057,539,133,168,763,148,924,206,831,166,
001,755,235,474,220,164,770,766,035,346,836,199,117,345,751,910,922,201,648,
641,244,082,615,430,575,783,248,710,025,562,209,330,441,344,238,357,101,016,
643,415,951,301,809,608,924,256,051,368,213,653,787,189,891,513,462,081,778,
465,760,542,849,796,833,086,706,663,939,622,493,033,534,754,870,395,950,744,
535,142,438,435,187,312,366,544,331,673,549,632,099,407,840,609,001,860,960,
247,793,330,197,954,062,651,847,070,523,239,905,089,815,662,957,627,118,478,
417,659,447,791,839,575,925,432,304,888,734,952,484,235,445,947,928,257,907,
635,208,701,856,570,208,060,014,352,708,032,303,783,317,953,537,743,918,442,
988,028,752,671,316,137,622,771,640,621,054,829,545,588,983,872,016,482,499,
462,302,133,831,234,446,407,032,667,549,390,544,127,572,524,557,945,720,783,
922,041,020,245,338,870,405,418,307,910,526,645,971,129,747,577,766,779,323,
274,844,975,415,815,144,077,639,345,853,826,669,008,044,484,487,953,828,244,
361,697,380,842,686,432,123,984,043,160,180,985,693,514,908,590,446,293,297,
029,280,970,178,561,542,670,234,902,272,840,117,561,166,621,656,006,788,403,
476,655,195,954,331,122,537,919,681,993,225,623,511,727,663,847,019,473,255,
910,145,652,373,852,191,844,568,435,096,883,866,157,205,456,377,952,059,612,
225,664,002,124,719,058,106,275,887,997,218,919,854,733,264,241,394,908,834,
348,649,480,788,748,662,457,301,948,830,997,361,522,138,349,725,437,804,242,
106,587,779,455,424,764,913,165,384,697,086,549,445,483,803,937,881,041,651,
245,728,456,385,297,894,058,960,718,282,416,778,885,027,640,405,676,204,599,
020,423,462,731,477,189,857,640,065,274,411,136,593,508,234,938,431,450,332,
698,787,459,646,946,585,838,473,316,783,337,177,861,815,909,496,867,329,294,
056,066,419,736,415,490,165,153,590,021,157,684,801,515,364,297,791,566,363,
329,027,310,542,440,780,452,634,089,991,809,535,300,338,778,535,892,323,307,
194,086,529,726,626,989,114,306,464,847,442,019,506,966,259,605,329,580,407,
891,680,294,974,417,299,591,827,417,387,319,234,445,299,019,043,943,718,570,
205,418,357,456,850,857,614,576,685,205,296,005,608,744,958,478,489,320,123,
914,141,146,618,155,493,062,978,206,026,530,648,460,804,820,499,265,026,776,
166,105,715,636,937,812,541,887,514,988,017,004,549,454,777,243,961,674,039,
405,919,882,273,651,057,501,275,468,322,637,365,608,481,932,242,476,251,911,
944,505,451,385,265,984,709,055,536,596,577,504,903,858,575,039,969,805,943,
741,721,256,959,447,699,211,136,116,263,331,954,198,174,723,267,940,807,111,
248,838,927,616,061,937,569,004,699,733,516,962,083,065,196,935,891,817,359,
337,665,302,583,515,897,506,147,087,575,215,046,211,007,415,813,640,562,831,
007,957,391,150,665,193,586,722,873,982,079,407,284,834,345,098,939,124,317,
465,318,557,721,593,966,399,113,452,881,128,568,735,562,803,895,288,266,721,
891,868,160,031,216,779,559,588,065,694,221,532,598,048,070,838,036,364,057,
542,405,904,199,849,134,143,899,397,983,395,685,058,504,221,573,835,638,417,
846,536,910,173,677,413,299,481,686,992,023,978,250,011,547,110,839,941,637,
204,467,390,599,275,605,673,647,210,073,462,084,335,580,683,524,426,476,557,
138,170,856,477,568,595,981,369,195,352,339,391,237,208,453,481,004,368,116,
981,765,338,954,381,116,814,542,602,389,167,161,285,188,870,350,998,672,238,
182,394,567,725,895,092,208,782,349,293,315,120,712,555,698,652,056,389,146,
453,198,571,905,136,213,772,992,873,314,503,543,760,023,315,341,538,594,095,
523,637,379,517,935,850,255,357,224,655,480,076,980,238,658,709,374,146,529,
444,439,973,733,877,455,206,916,758,286,870,135,481,885,028,693,724,582,205,
573,706,006,178,926,229,004,050,417,060,359,569,038,966,902,731,210,019,853,
409,337,662,272,724,195,264,687,043,040,940,914,182,574,689,104,995,277,681,
527,865,565,881,468,892,203,938,176,396,768,355,829,411,744,135,716,741,654,
736,760,832,144,729,592,233,963,734,659,832,093,572,158,279,628,191,728,976,
571,251,122,497,144,729,792,357,930,111,590,761,420,947,105,361,088,644,294,
152,273,984,488,103,899,195,516,919,793,954,954,907,297,065,889,148,789,698,
534,480,872,853,416,535,214,773,205,265,701,016,197,871,052,366,040,826,091,
678,201,943,247,520,786,306,976,776,091,244,347,799,958,541,349,646,459,017,
600,611,070,622,603,359,931,069,248,843,378,780,042,974,616,824,450,938,132,
623,647,376,648,567,559,904,257,808,563,015,220,495,471,625,616,929,339,910,
180,281,143,759,945,069,728,034,520,263,432,115,288,830,886,580,910,742,654,
143,929,621,868,024,451,309,415,116,491,719,654,947,996,656,706,227,845,103,
681,198,342,148,011,684,626,280,240,584,506,442,635,322,940,490,546,866,805,
681,447,739,627,876,064,643,648,869,404,440,360,519,401,359,190,168,324,325,
936,793,259,635,938,022,876,540,056,669,854,085,815,027,797,176,235,936,173,
077,050,343,714,487,591,762,993,530,911,547,653,518,892,213,654,123,288,493,
102,208,304,152,681,395,593,953,528,748,100,600,048,070,496,201,176,828,692,
630,005,640,805,476,697,813,191,672,680,506,998,913,814,560,180,900,151,357,
176,371,316,627,509,370,290,308,794,708,853,062,285,590,247,985,254,895,736,
671,056,289,871,432,267,447,697,582,070,501,475,625,636,642,249,521,158,642,
182,513,783,450,472,468,352,617,229,259,122,288,644,559,231,076,672,054,235,
020,780,390,271,028,703,129,716,623,566,626,147,579,079,456,307,941,192,770,
364,624,994,396,557,117,259,002,114,249,177,151,035,945,862,840,869,085,484,
478,226,821,568,073,385,132,286,264,286,382,661,657,429,661,307,813,108,528,
156,176,879,794,356,656,422,738,238,791,064,186,725,153,793,802,695,151,357,
558,558,016,256,001,311,804,160,201,793,158,376,385,260,104,595,439,899,836,
483,342,567,491,773,223,360,152,990,616,320,654,341,383,525,142,053,454,979,
108,947,436,181,666,477,347,297,558,202,128,183,858,931,347,284,255,952,798,
977,193,033,380,846,642,829,253,705,812,975,576,222,893,306,002,879,484,228,
755,671,532,894,691,400,954,799,395,773,887,687,541,225,385,677,738,987,372,
083,118,316,135,017,140,711,284,522,030,141,264,311,133,677,615,597,042,948,
088,982,036,657,371,090,698,420,972,915,573,302,474,149,404,080,824,858,834,
794,604,232,648,077,678,581,759,896,396,323,795,587,183,040,535,611,080,145,
480,657,642,155,728,919,413,504,553,533,651,224,477,835,120,823,655,985,694,
104,101,356,149,097,326,071,211,102,343,297,985,533,993,099,266,123,111,912,
025,360,370,136,609,717,594,603,442,355,477,170,538,257,446,641,774,988,389,
116,993,216,899,682,785,907,444,461,257,809,534,005,318,000,321,427,824,601,
992,470,817,845,139,084,058,619,699,793,255,627,283,445,101,563,335,922,790,
005,617,921,470,118,731,388,714,698,795,314,950,582,538,963,401,782,285,099,
582,351,101,478,487,900,162,603,749,847,565,064,681,707,496,059,312,895,262,
128,280,607,659,230,318,384,376,269,893,089,282,031,850,946,068,731,787,346,
014,579,000,517,360,863,433,324,166,114,962,123,125,141,339,789,210,706,548,
484,048,087,220,914,322,979,619,996,792,014,875,604,444,388,730,593,474,329,
358,889,478,464,397,021,308,472,663,615,906,446,739,854,178,614,000,400,931,
070,857,473,959,757,891,064,257,881,649,571,861,601,553,177,877,911,282,297,
499,122,959,215,753,156,632,715,264,190,621,292,495,028,925,678,683,245,591,
083,799,527,260,232,658,442,834,173,327,052,890,733,771,455,978,669,491,097,
015,882,056,624,716,776,421,151,524,419,813,599,775,861,575,372,381,427,636,
096,077,855,712,604,322,799,580,303,461,866,179,756,475,519,595,339,828,696,
183,796,685,676,339,824,802,740,783,500,488,603,961,334,263,212,364,860,522,
935,008,471,770,615,179,517,047,616,555,974,111,520,081,464,805,998,685,757,
855,269,467,178,811,878,572,116,403,662,325,812,903,765,571,405,881,151,344,
100,892,396,841,764,732,250,698,952,743,288,775,407,046,319,947,362,333,049,
908,765,905,449,489,416,283,053,463,716,360,413,948,126,246,966,312,025,072,
031,307,017,951,830,422,880,172,279,667,052,098,020,485,736,226,644,830,287,
151,517,600,513,434,386,354,773,554,907,854,897,090,007,508,224,812,999,691,
623,267,834,261,904,908,696,866,075,989,739,955,890,866,682,468,202,616,505,
426,042,581,550,622,544,755,755,498,055,800,130,763,720,730,145,087,221,180,
887,558,855,284,116,901,441,805,228,576,333,017,472,450,241,085,982,813,374,
327,513,090,284,535,812,674,292,094,604,284,956,314,803,560,617,130,414,682,
455,978,058,704,676,212,408,749,662,487,901,848,395,693,659,159,724,901,479,
197,588,988,778,127,227,408,296,647,589,363,636,841,654,404,098,570,897,629,
005,093,557,478,936,315,329,144,697,618,656,669,023,363,585,968,259,230,551,
553,267,402,117,932,040,632,508,168,356,204,366,107,904,298,101,628,487,462,
016,112,393,431,878,898,934,439,190,409,400,096,816,934,898,288,159,544,518,
420,093,035,692,663,582,066,995,080,188,966,252,139,548,943,108,949,968,220,
865,593,487,065,075,201,362,612,408,357,884,035,301,430,063,986,840,430,610,
118,531,222,564,061,966,309,947,736,350,641,020,241,078,976,083,960,220,058,
216,299,291,554,237,166,825,153,751,126,189,069,964,247,241,080,260,352,273,
995,127,295,937,990,876,745,647,450,463,910,912,157,903,642,960,005,694,172,
804,365,857,459,900,474,379,731,367,056,959,260,481,875,730,837,543,466,429,
506,775,840,869,651,078,161,409,038,676,858,354,503,753,956,355,781,748,875,
950,700,148,962,626,534,641,951,525,003,816,248,744,311,295,829,987,312,327,
167,632,715,431,611,022,566,627,554,789,399,019,491,578,410,711,751,215,239,
968,991,463,515,983,793,464,630,305,364,539,753,053,667,750,686,024,671,234,
823,037,217,076,266,721,077,854,897,989,426,318,273,004,570,970,893,939,076,
479,196,153,489,076,199,640,977,613,930,640,471,920,884,797,740,506,727,916,
792,387,651,548,865,702,342,798,034,189,720,653,734,940,552,704,977,605,661,
368,339,476,508,595,829,117,676,781,287,465,613,122,959,881,913,354,257,835,
082,926,552,378,962,200,134,051,225,754,835,857,256,561,624,384,587,965,786,
546,376,262,889,990,879,264,550,231,294,448,397,969,583,847,827,180,881,531,
406,442,237,804,704,255,317,645,008,409,487,098,373,079,746,210,536,054,335,
316,148,051,458,008,660,738,754,917,641,075,020,538,472,964,350,145,352,823,
742,116,093,241,764,962,633,139,669,196,068,940,994,301,454,390,870,527,980,
437,879,608,362,090,143,254,641,553,310,902,522,376,144,859,287,569,604,628,
254,525,026,437,614,445,960,084,207,571,422,197,719,526,899,791,952,429,643,
634,765,277,365,287,179,192,975,170,458,142,826,131,641,031,831,770,914,214,
026,293,578,654,094,110,067,963,539,527,482,737,217,336,221,341,925,482,754,
364,914,017,649,920,942,152,692,736,677,064,856,313,663,345,979,614,385,640,
563,804,420,864,954,939,754,044,619,412,340,842,762,672,161,761,682,789,233,
744,435,312,816,165,768,790,524,684,225,266,013,163,530,193,377,420,115,073,
459,841,355,524,182,896,017,319,810,487,180,733,434,168,298,932,012,380,143,
678,108,983,679,435,267,035,973,743,610,304,533,401,816,536,514,075,363,483,
274,240,105,513,203,049,707,327,345,334,835,562,078,235,736,062,874,923,872,
375,749,618,574,373,976,369,520,419,827,459,108,271,000,292,662,868,188,255,
485,378,617,343,174,443,349,334,854,939,736,942,959,776,283,277,152,208,552,
429,786,208,159,083,644,234,473,329,731,929,398,778,676,481,825,794,114,755,
710,384,623,744,196,456,279,551,437,617,211,860,489,943,947,165,121,901,585,
291,330,158,283,179,852,943,685,881,190,263,898,888,649,130,468,500,016,899,
030,786,872,247,263,074,189,379,402,065,044,225,470,730,603,281,017,607,378,
406,618,336,083,214,229,870,202,903,851,928,719,993,091,085,790,025,504,771,
744,183,545,284,833,444,373,908,749,905,864,936,091,549,746,485,605,972,471,
072,891,291,577,433,573,127,079,926,108,878,161,094,678,790,931,825,610,777,
276,396,541,249,669,005,500,478,618,269,209,017,497,888,696,073,657,974,422,
147,584,686,588,131,749,467,613,803,485,238,879,465,890,961,070,828,622,503,
334,353,866,540,984,353,603,257,837,660,923,945,902,258,928,196,637,800,305,
812,379,744,629,232,180,096,074,089,266,577,884,924,822,040,338,397,363,568,
569,056,878,149,713,426,199,575,108,922,512,647,227,152,786,001,318,035,551,
612,668,903,201,787,213,267,564,122,738,313,545,780,715,457,384,146,383,558,
819,014,413,148,347,029,443,952,999,318,910,558,083,869,476,533,129,597,198,
571,646,492,987,745,674,978,346,493,720,639,654,337,935,102,568,317,667,647,
160,707,648,861,781,380,440,549,772,381,666,903,978,016,977,079,105,176,852,
937,962,540,015,495,677,742,334,443,260,672,539,758,541,476,210,630,590,545,
096,995,647,285,028,812,506,656,882,353,696,709,987,828,547,993,783,503,925,
986,703,729,201,988,942,879,173,373,715,314,966,116,859,135,163,059,121,280,
809,760,448,326,260,480,539,931,053,406,157,142,156,953,601,474,650,446,663,
821,446,048,026,024,186,464,307,183,275,152,146,391,052,246,646,722,458,556,
964,314,622,839,031,991,229,030,059,318,872,308,044,991,048,617,832,599,801,
796,516,755,748,088,729,962,224,853,781,946,092,957,833,080,577,065,234,871,
465,838,751,068,987,416,190,635,440,026,650,507,143,654,633,906,003,230,487,
449,598,610,011,661,089,892,581,083,469,279,901,057,233,668,296,591,010,512,
064,186,947,311,638,417,213,323,414,301,255,753,044,384,659,741,795,075,229,
628,463,261,379,316,706,869,311,901,252,034,341,632,538,684,298,255,432,353,
583,483,268,153,370,313,059,803,662,235,063,175,040,923,109,324,624,319,197,
039,418,093,618,922,988,974,377,112,701,939,625,733,628,254,006,024,732,457,
729,855,389,158,475,827,976,690,307,477,943,004,099,790,867,696,225,257,522,
696,183,421,032,680,477,476,657,999,867,844,304,940,962,197,832,398,116,624,
024,748,241,627,742,096,031,834,833,914,315,104,194,020,687,901,414,129,257,
068,376,163,192,797,964,344,085,335,699,003,838,468,512,266,988,597,614,575,
354,929,070,533,986,079,822,302,135,340,855,837,774,781,548,096,567,323,949,
794,860,300,143,502,183,779,038,117,088,791,348,904,721,548,038,532,720,438,
861,612,600,478,012,004,025,830,119,213,433,548,890,528,100,478,980,679,567,
246,010,460,175,211,712,203,037,462,069,616,947,839,725,747,474,839,021,070,
909,946,681,533,504,010,288,353,433,862,832,813,828,708,034,973,983,436,168,
975,343,060,293,497,907,960,417,794,056,221,352,867,325,153,500,290,038,441,
154,295,221,343,208,112,611,776,609,605,902,259,026,900,837,493,245,105,587,
956,597,862,584,210,121,632,182,544,028,593,366,641,010,487,129,073,546,155,
676,576,460,538,850,599,572,457,059,141,107,755,089,748,505,675,870,386,297,
299,784,051,679,346,952,225,260,243,451,704,277,693,431,252,217,326,145,161,
086,919,984,935,270,270,431,750,359,728,757,149,666,678,472,955,776,449,148,
336,906,841,184,374,726,170,352,572,813,555,529,121,099,521,985,924,870,167,
000,174,942,102,762,312,913,481,843,923,160,510,683,129,225,469,849,474,362,
194,955,739,046,216,690,696,101,376,834,434,392,083,323,370,261,470,964,998,
752,847,738,240,542,993,541,302,555,343,730,725,530,591,564,929,292,275,532,
757,489,607,850,626,179,032,710,176,824,438,011,946,148,037,849,089,848,392,
670,177,220,310,833,217,191,477,028,711,918,901,621,149,601,921,394,560,066,
217,510,958,903,937,751,403,917,493,724,058,642,095,084,259,963,041,967,502,
807,404,359,179,113,259,366,355,247,736,574,043,055,015,546,864,384,923,534,
725,809,502,133,731,791,508,859,397,570,788,440,896,911,593,399,963,401,681,
899,533,511,263,975,878,141,574,171,788,505,856,224,104,390,059,885,324,181,
169,900,795,196,343,123,128,876,175,980,461,689,900,795,946,380,413,443,653,
267,468,043,125,491,936,899,091,735,702,994,927,346,733,769,316,608,726,284,
223,021,839,799,928,347,422,257,621,786,872,975,087,401,412,790,752,782,738,
636,847,667,737,834,422,839,269,990,276,193,042,390,517,539,178,118,894,225,
588,253,848,047,991,390,808,658,607,407,818,575,389,569,257,140,338,673,532,
307,175,900,211,017,846,443,628,559,253,090,962,236,593,010,671,398,749,895,
802,026,920,380,040,411,634,181,380,890,201,177,463,570,188,614,548,453,425,
337,952,416,801,659,503,268,867,385,767,043,628,010,741,590,748,256,918,952,
074,967,170,083,373,339,764,112,587,707,135,096,474,581,471,023,612,235,369,
765,128,451,710,443,913,701,611,083,480,790,358,952,527,288,760,639,015,010,
226,181,942,432,119,539,944,876,866,138,825,585,506,464,419,948,591,283,764,
395,698,366,679,405,696,507,713,642,860,229,044,538,781,318,952,767,550,475,
758,779,759,010,430,192,333,501,516,453,358,927,908,645,927,163,926,858,884,
556,451,177,800,781,938,096,545,887,187,669,664,892,663,747,898,622,926,355,
935,793,007,774,789,497,293,165,830,812,221,618,496,094,766,388,894,109,352,
951,771,151,274,612,393,351,482,945,540,733,061,881,441,729,403,807,333,150,
401,406,083,854,227,665,416,144,030,800,117,012,810,414,442,148,332,313,018,
144,719,792,821,778,525,242,821,639,185,700,542,018,470,488,172,182,940,597,
893,953,595,261,445,072,210,961,184,430,285,127,212,285,114,573,794,192,802,
773,265,695,380,814,179,983,440,816,489,341,543,300,051,053,959,017,524,026,
478,062,714,250,903,878,781,478,281,045,109,755,523,761,272,091,720,232,771,
207,196,224,442,767,709,197,732,120,792,155,955,155,500,397,614,647,357,024,
100,401,686,381,757,084,676,022,690,367,907,719,055,522,228,094,943,133,968,
469,015,804,159,394,799,459,129,849,882,884,212,483,708,996,395,316,438,846,
904,796,272,815,357,402,742,900,909,309,633,564,877,950,401,811,260,329,522,
740,237,437,891,271,820,354,587,789,858,430,858,597,752,894,369,017,713,938,
060,721,004,170,881,531,301,936,324,646,740,461,110,271,841,966,665,274,379,
613,374,237,548,286,056,648,361,020,798,408,668,331,250,711,166,884,040,608,
114,269,056,366,462,920,579,147,268,850,609,515,719,322,167,229,229,650,415,
116,795,702,440,195,653,116,577,640,184,081,473,168,346,807,743,195,510,291,
138,901,526,917,879,916,695,636,913,651,094,921,381,577,697,783,230,379,719,
244,091,675,791,554,195,112,575,790,672,456,069,903,801,712,649,422,035,210,
830,380,005,871,041,958,091,655,678,089,089,552,455,374,222,217,996,327,369,
739,312,947,947,578,178,827,118,657,204,332,341,555,467,626,442,881,640,833,
221,377,579,931,661,134,877,407,843,494,449,640,715,151,229,020,952,881,267,
076,814,164,893,107,511,807,255,213,433,974,560,153,061,314,596,698,061,522,
031,362,233,024,970,600,872,196,039,672,783,786,286,026,046,984,565,443,323,
911,158,529,358,287,949,575,082,685,596,484,765,816,052,292,972,397,291,536,
778,730,002,170,915,283,454,365,120,921,815,533,975,112,553,528,068,887,706,
191,787,245,462,245,079,767,426,943,060,799,684,294,884,574,284,344,881,871,
963,044,146,020,841,987,342,119,888,003,473,847,068,047,211,488,673,876,245,
637,691,353,639,785,875,367,001,181,458,502,177,952,788,867,217,848,301,760,
788,391,494,525,928,372,354,848,409,309,719,706,272,110,747,785,382,216,207,
313,558,422,690,916,188,648,315,214,060,733,450,315,721,540,197,187,782,057,
707,222,510,516,735,281,547,108,630,202,742,550,242,060,828,042,912,230,696,
027,430,750,730,049,130,485,975,297,510,249,001,474,783,726,657,868,576,517,
595,676,135,660,029,466,088,802,054,842,736,869,119,734,199,751,843,464,793,
295,473,925,689,841,291,741,398,010,087,220,422,389,923,659,282,343,081,789,
406,044,109,909,144,997,455,886,576,034,424,367,703,302,714,095,762,364,820,
679,940,362,100,408,891,665,345,530,336,338,771,526,506,428,945,844,402,695,
805,783,716,752,483,715,150,513,449,761,095,151,163,814,801,796,930,871,985,
694,635,862,107,164,476,218,628,158,936,163,528,085,279,679,505,168,517,917,
768,254,250,450,073,785,431,597,934,315,402,203,101,538,397,688,638,206,183,
387,089,665,708,902,445,677,082,492,180,271,611,160,103,355,609,686,410,123,
465,201,253,726,601,963,798,698,053,113,782,234,102,415,548,450,257,965,472,
146,040,450,334,044,869,368,762,018,946,638,724,884,331,965,633,890,388,396,
117,150,813,438,269,799,239,571,410,811,525,547,563,160,128,333,253,550,060,
706,144,173,272,633,487,107,835,663,025,978,693,843,133,284,691,920,452,064,
605,703,599,117,674,965,904,216,359,123,436,574,871,549,963,192,894,942,549,
306,689,973,479,676,332,233,032,859,868,543,676,182,093,656,277,747,379,406,
647,318,173,405,727,158,984,859,005,100,043,246,316,982,096,258,101,410,283,
500,636,320,289,057,723,321,991,934,728,898,268,028,830,027,398,660,962,429,
130,892,106,262,284,095,598,103,522,288,615,968,175,116,670,118,997,458,483,
478,125,247,782,944,310,301,812,677,834,479,183,847,350,593,785,352,881,524,
689,071,185,796,470,520,802,859,694,033,134,842,405,781,175,699,847,677,285,
654,259,751,233,520,244,749,602,688,821,698,510,639,041,772,187,637,691,162,
694,968,414,897,072,302,589,770,090,320,402,479,313,694,465,507,081,377,563,
804,833,908,126,488,815,502,547,504,201,251,761,905,642,214,429,506,158,273,
024,666,011,496,443,232,574,808,920,193,264,097,793,554,428,437,537,310,434,
123,424,227,078,513,396,318,049,236,996,698,349,612,753,829,083,713,398,631,
899,340,489,559,586,847,130,467,184,877,967,118,724,318,536,046,951,487,454,
935,707,188,676,875,363,884,226,644,514,259,330,103,852,592,150,613,562,295,
636,259,804,233,556,245,894,743,866,004,753,386,486,982,793,376,196,520,976,
312,411,684,932,916,511,736,137,699,439,430,580,393,292,268,031,568,338,053,
116,704,605,518,040,539,654,063,869,883,956,731,262,389,483,194,910,962,133,
227,680,333,001,672,922,093,900,587,970,679,875,960,811,927,949,751,544,508,
356,839,157,862,044,135,362,016,684,585,004,956,679,046,773,466,957,692,603,
766,455,029,887,488,705,617,815,251,089,217,880,569,752,631,945,481,578,080,
861,443,766,288,406,489,085,121,021,898,272,366,149,374,260,928,825,430,536,
416,855,368,502,168,824,279,274,083,487,549,929,154,823,176,750,370,641,428,
919,153,419,096,292,794,110,902,583,763,161,076,729,964,855,638,212,395,199,
237,262,975,539,010,305,595,191,434,277,789,890,898,007,299,934,195,462,649,
462,125,082,972,381,437,314,806,461,817,023,976,509,982,570,183,556,490,570,
944,924,425,461,170,785,159,032,962,739,467,423,930,896,637,595,255,149,020,
494,336,398,642,983,012,390,871,007,077,414,715,863,024,010,248,473,659,361,
413,976,210,793,846,018,893,967,512,215,506,193,699,529,105,939,690,963,163,
019,500,490,951,149,908,685,658,519,067,723,821,770,441,663,307,838,919,006,
225,439,741,503,329,072,074,817,683,885,972,234,908,202,663,965,162,262,265,
771,864,998,180,716,062,106,733,622,277,106,829,581,522,773,897,436,326,098,
829,742,162,431,314,674,671,101,309,586,288,755,057,126,764,859,198,333,070,
408,815,574,330,762,977,715,145,458,822,696,717,591,505,994,737,400,785,287,
260,279,412,171,373,129,394,628,370,857,379,205,312,419,754,185,657,380,197,
130,048,887,648,129,001,560,405,643,113,137,480,298,587,947,307,998,394,325,
493,384,729,293,007,562,566,198,363,456,873,346,316,812,345,353,352,708,448,
272,201,330,709,614,468,124,917,188,950,767,196,445,301,995,119,785,003,902,
899,121,890,476,119,573,517,412,436,034,022,449,765,209,325,623,986,903,875,
271,145,856,897,528,024,668,419,161,043,260,111,909,620,570,578,533,980,705,
414,655,798,729,538,767,857,940,110,995,278,229,102,409,980,763,147,588,131,
900,408,544,737,553,786,235,577,896,484,075,753,452,669,637,798,419,762,312,
888,196,395,464,581,963,810,056,122,643,220,335,950,703,626,208,553,166,295,
766,212,250,397,883,060,432,808,579,061,702,540,857,958,194,187,920,867,833,
581,958,845,887,009,126,406,711,441,647,667,300,344,326,366,823,310,887,179,
130,937,865,891,197,550,563,242,021,400,258,846,030,577,400,112,529,297,858,
235,141,959,088,199,878,254,212,889,434,762,931,969,572,209,897,864,180,713,
599,271,032,896,422,468,319,412,845,421,218,482,924,788,040,793,435,009,224,
840,809,923,492,805,003,710,479,160,505,628,512,086,780,341,373,471,301,520,
931,606,965,280,089,468,694,868,220,116,942,029,604,856,283,801,102,027,737,
180,153,267,052,804,064,398,688,314,907,135,052,208,807,847,478,319,344,140,
537,924,331,758,346,424,840,213,089,810,886,809,123,182,050,816,408,645,411,
642,621,521,025,053,616,173,778,131,448,585,868,629,066,766,722,453,077,056,
735,739,863,701,291,050,490,404,836,376,459,686,416,637,219,107,425,514,791,
226,994,290,344,159,344,519,162,566,911,569,215,521,992,320,072,216,367,011,
796,536,283,220,009,010,794,591,723,345,982,735,841,916,952,509,557,912,557,
009,341,012,217,632,361,398,520,867,245,032,274,165,589,316,234,262,315,370,
917,163,497,404,875,437,989,248,819,865,567,741,067,233,723,969,132,193,330,
335,145,938,557,398,021,319,153,942,998,927,048,026,638,610,483,214,673,784,
763,692,848,684,102,924,090,455,025,756,310,176,794,179,690,205,279,115,163,
136,183,611,507,572,415,772,199,412,733,950,637,856,186,980,878,925,977,497,
656,092,876,629,962,142,325,497,724,467,241,919,986,515,232,092,370,041,845,
958,905,789,326,184,414,119,169,194,326,188,747,034,414,566,084,923,495,065,
414,851,778,961,588,448,562,771,365,663,053,968,022,400,772,300,678,130,238,
901,143,469,450,938,713,921,564,246,199,568,598,248,724,466,689,652,228,734,
964,462,145,688,665,385,046,596,806,416,908,423,449,329,463,790,305,838,752,
138,526,388,111,704,624,525,265,540,794,817,123,128,029,422,838,326,561,795,
773,064,405,379,787,058,999,436,929,748,852,207,201,590,245,167,583,219,785,
837,098,256,815,844,306,364,289,933,727,378,644,576,862,437,593,752,271,181,
039,716,682,372,808,104,647,808,642,343,066,481,650,064,918,783,959,473,682,
322,470,736,035,434,243,238,460,073,320,479,651,320,945,306,305,966,160,564,
777,900,209,910,748,939,926,531,697,627,245,088,055,506,817,195,212,629,811,
420,827,768,797,990,722,570,295,321,968,574,852,269,930,149,853,177,346,142,
825,765,494,255,911,282,086,404,994,080,920,303,199,758,931,415,962,750,717,
378,314,202,198,407,909,932,960,091,094,308,107,589,797,255,950,597,790,004,
368,952,308,821,138,017,837,426,187,859,501,346,779,182,968,375,772,612,876,
577,797,828,004,627,492,904,555,658,146,331,406,276,991,416,979,042,812,899,
133,329,501,783,664,761,464,985,498,876,092,013,618,123,652,183,900,081,079,
103,896,448,384,297,286,700,948,906,002,102,927,394,027,093,491,172,202,785,
889,327,900,974,481,198,947,666,117,899,049,585,508,915,896,637,520,284,835,
920,590,372,060,304,607,140,000,806,071,822,942,724,844,621,889,013,658,736,
746,117,619,204,293,259,165,923,385,907,874,717,687,938,837,094,312,377,231,
045,065,960,735,777,122,792,760,641,450,155,340,491,577,404,511,266,865,124,
785,487,655,788,665,369,709,144,123,354,901,029,407,373,814,214,699,189,141,
593,106,406,855,823,016,810,050,036,683,180,862,595,389,709,962,812,006,930,
413,216,682,148,091,353,085,123,010,978,406,368,567,189,611,909,347,080,403,
276,446,009,424,837,043,272,036,191,063,426,187,098,307,168,247,275,323,850,
636,986,019,897,979,869,562,390,297,732,348,617,651,368,760,707,567,468,057,
991,828,022,570,903,529,239,738,024,738,906,953,756,289,289,596,605,807,122,
683,643,552,335,681,127,818,712,525,542,166,236,144,842,569,124,316,567,924,
527,700,702,347,352,878,614,962,387,113,454,486,432,181,131,144,371,027,077,
438,359,185,133,261,121,206,947,419,285,587,611,075,708,251,283,009,831,241,
603,186,918,441,956,187,302,045,229,399,215,960,220,473,529,463,110,145,516,
099,609,520,662,686,725,901,027,202,976,409,316,840,405,407,259,140,845,464,
830,875,880,549,557,176,461,493,687,890,503,178,233,914,610,662,638,451,718,
656,489,368,329,942,204,338,668,571,726,926,640,151,978,483,088,724,315,754,
452,869,732,028,955,311,297,970,707,573,434,502,482,722,236,363,223,269,568,
704,498,412,829,197,810,801,287,558,186,108,634,047,764,637,613,566,287,638,
441,297,247,554,391,291,213,298,650,519,006,921,035,443,576,400,564,636,821,
234,633,128,127,272,241,821,973,212,818,287,081,037,697,559,661,111,214,462,
298,973,885,584,608,871,910,688,989,571,042,145,160,988,220,565,225,020,057,
742,076,587,210,368,060,956,448,387,972,228,666,823,855,726,869,834,402,671,
455,235,110,539,674,544,863,786,228,751,950,112,003,317,986,882,162,958,481,
015,728,476,836,484,144,783,487,751,484,678,298,745,034,809,136,148,766,567,
697,790,185,071,368,619,771,569,579,003,115,649,002,803,734,012,617,393,408,
144,493,097,498,530,209,195,024,106,925,338,837,980,272,632,388,332,792,002,
848,680,758,502,015,837,774,334,052,751,696,780,644,004,958,579,689,052,521,
712,469,698,007,308,159,341,002,464,942,471,935,811,619,602,964,989,922,581,
240,094,164,015,159,898,840,282,696,957,405,778,039,901,487,795,281,105,544,
207,806,946,691,930,243,324,854,732,717,769,135,583,747,495,247,677,037,006,
213,460,049,286,071,659,063,457,585,459,575,796,096,028,478,551,277,556,597,
660,929,076,149,098,854,441,553,698,289,157,647,258,395,632,779,654,542,216,
422,845,812,977,800,750,584,775,953,299,225,810,120,558,916,717,462,885,217,
985,825,574,380,472,307,015,671,045,129,305,150,609,891,879,507,547,182,219,
104,894,341,058,232,247,605,750,246,063,102,812,381,760,160,658,504,871,006,
239,997,273,195,259,983,292,640,105,673,563,837,280,425,621,550,635,009,006,
959,433,847,099,262,512,672,493,679,698,630,558,127,990,259,464,091,305,200,
375,993,928,719,190,999,930,396,433,049,740,757,235,613,958,436,312,388,220,
138,986,359,191,903,985,767,516,957,386,627,748,767,020,864,297,611,289,155,
759,560,652,372,213,506,419,062,630,132,973,684,939,236,377,111,031,537,931,
176,275,703,258,921,345,151,308,925,474,513,885,023,370,465,011,915,925,199,
974,327,840,921,178,666,446,564,088,895,634,618,631,379,395,276,064,342,275,
767,430,518,461,633,767,199,345,201,675,358,398,372,397,269,918,825,321,904,
913,235,160,036,662,316,696,316,657,036,253,644,317,208,608,444,489,129,305,
661,083,392,484,351,290,772,386,021,259,598,349,213,234,904,204,368,380,925,
941,335,555,715,113,282,861,776,485,259,545,079,614,345,706,377,471,424,624,
365,653,659,605,402,830,397,929,492,332,332,291,793,628,941,212,857,821,727,
763,054,446,700,195,762,272,189,831,099,137,171,859,908,230,611,293,283,006,
571,481,011,089,214,416,500,695,008,174,129,565,178,523,950,977,280,915,353,
678,913,153,369,724,743,914,714,376,192,625,984,367,047,607,499,584,176,615,
603,936,157,147,440,024,540,635,771,618,443,467,010,957,145,880,074,698,948,
214,292,699,674,936,389,204,663,543,292,925,615,455,978,960,068,863,632,137,
968,327,074,783,424,225,400,005,944,790,131,056,648,388,308,487,045,281,562,
851,463,369,381,958,200,426,724,629,052,094,486,001,970,150,050,392,411,149,
501,881,698,846,073,121,120,205,301,421,170,897,263,113,707,820,523,646,961,
831,822,141,246,946,195,528,897,613,791,700,755,457,065,134,056,026,666,040,
169,322,685,913,663,636,078,480,684,239,974,071,414,094,756,389,255,130,883,
273,164,230,859,109,020,945,909,063,676,034,176,348,721,192,567,354,292,004,
026,327,379,542,612,625,944,314,976,171,017,871,380,324,505,332,347,465,827,
024,875,898,861,239,596,589,782,181,733,508,951,838,655,050,521,606,133,961,
229,988,160,443,206,394,320,192,537,534,996,713,765,494,030,393,859,170,860,
429,449,402,141,506,126,095,828,776,744,191,909,993,325,105,909,919,660,558,
335,490,529,291,767,409,971,133,797,670,816,825,173,206,140,477,461,721,262,
829,186,237,134,622,756,530,189,241,588,822,708,561,209,573,657,884,339,647,
073,531,115,308,371,676,472,567,557,347,578,516,514,723,080,601,223,977,241,
863,495,337,668,496,316,551,954,739,092,106,824,919,847,491,924,972,274,367,
991,337,236,587,628,711,218,427,221,610,541,932,154,348,434,450,016,100,104,
544,088,046,897,520,387,094,159,370,783,026,296,828,035,946,780,769,440,904,
943,393,524,244,954,562,748,558,382,674,236,448,129,468,735,835,950,598,266,
493,049,929,103,484,065,687,925,357,953,162,468,226,739,546,799,613,497,644,
583,635,802,201,447,665,229,129,104,602,284,182,126,624,227,269,497,849,023,
027,991,411,551,601,748,119,521,124,627,739,216,395,863,690,385,671,677,492,
940,461,624,738,711,087,137,601,453,192,526,623,528,875,175,421,923,547,707,
718,246,090,540,906,954,165,867,841,735,733,913,521,552,464,561,522,130,550,
409,363,783,245,971,729,334,854,742,345,624,159,866,661,191,803,439,886,729,
399,695,383,034,230,093,385,647,023,611,482,723,165,135,259,373,548,405,356,
078,598,790,047,952,741,056,778,417,211,791,598,170,492,465,724,680,650,763,
275,805,718,383,740,856,510,639,608,576,716,467,103,477,216,659,329,813,868,
682,571,034,341,404,103,978,697,605,617,290,761,883,009,450,484,662,229,613,
961,229,521,336,334,959,194,816,107,954,006,309,882,290,841,711,769,633,592,
105,024,110,953,748,121,650,252,910,274,755,773,910,541,955,545,912,248,925,
143,716,083,692,615,391,561,365,700,243,113,435,786,315,535,761,826,500,583,
561,999,753,632,261,725,188,672,249,691,653,905,585,409,612,146,763,552,352,
375,387,620,324,635,062,461,808,160,045,913,735,109,720,024,496,668,718,404,
944,144,955,077,252,464,045,707,524,138,130,274,063,956,608,018,645,107,427,
499,821,443,328,491,636,522,754,734,988,708,904,816,469,120,623,075,599,412,
182,096,850,790,159,662,267,174,901,914,899,138,579,526,967,502,866,211,388,
388,682,362,734,213,086,446,059,813,713,435,197,709,133,911,211,220,833,000,
435,593,159,858,169,682,931,746,611,493,148,984,750,424,835,122,160,742,302,
932,136,376,690,304,875,087,464,925,106,574,519,585,473,332,946,976,505,351,
971,513,338,903,378,402,236,429,394,304,824,561,402,768,432,937,453,090,987,
950,405,191,690,942,213,215,902,592,320,864,629,638,947,538,332,788,268,251,
567,687,148,086,384,917,896,651,026,230,776,542,075,491,638,364,658,387,676,
585,344,454,203,364,221,443,405,613,595,355,257,647,840,482,921,060,042,103,
144,852,440,938,250,788,827,703,085,446,984,537,903,602,865,003,254,146,676,
543,605,833,282,330,012,241,470,461,943,795,998,080,443,049,686,527,662,257,
035,084,906,329,384,525,404,122,826,518,612,426,884,330,183,386,713,436,867,
980,706,603,574,072,454,400,452,535,165,300,332,114,655,905,262,714,927,083,
417,720,439,282,651,996,288,611,862,933,625,765,201,507,780,971,604,637,234,
716,595,942,554,446,705,602,006,333,828,735,203,331,020,862,355,091,428,325,
075,345,072,985,962,975,301,952,849,646,651,569,062,966,667,326,289,611,232,
718,863,993,621,707,485,554,009,221,791,755,787,167,489,587,071,666,886,055,
580,732,830,351,588,978,058,422,099,692,913,437,401,345,926,011,321,541,500,
706,255,206,435,020,713,895,876,975,380,878,331,225,224,627,316,777,243,839,
902,027,936,129,074,155,331,257,713,277,903,336,990,606,755,917,111,121,978,
159,410,536,485,621,228,656,010,125,061,831,338,420,458,975,256,421,876,991,
163,695,380,695,950,089,208,662,111,537,138,083,168,971,188,901,471,597,599,
832,629,862,268,705,149,129,207,648,707,819,824,887,727,572,579,925,881,595,
404,207,644,743,443,263,340,822,513,310,078,912,133,703,752,391,934,192,650,
889,606,996,524,425,056,812,988,425,611,260,081,702,625,926,551,880,822,151,
107,702,223,303,484,743,107,825,649,190,569,512,763,713,157,159,794,997,845,
293,707,188,121,380,715,642,874,242,867,402,806,857,933,671,501,768,081,536,
416,086,782,340,419,302,499,712,968,561,084,352,785,522,768,724,897,134,816,
439,541,702,216,282,671,132,605,505,475,903,368,848,129,576,727,103,664,630,
633,849,730,158,161,023,705,151,862,758,593,825,296,169,244,792,153,227,458,
731,752,745,234,155,680,371,362,311,278,286,001,035,151,032,018,566,197,356,
004,508,975,708,433,272,925,905,640,202,306,223,960,553,371,313,821,039,870,
106,215,391,281,028,624,241,403,697,141,395,660,163,438,270,968,989,422,230,
805,084,369,920,821,710,574,632,063,901,736,494,912,323,716,923,349,321,427,
239,917,227,717,849,614,823,573,180,278,402,636,178,523,126,281,386,744,445,
849,531,618,125,964,322,510,147,553,794,655,844,069,021,143,887,459,067,550,
701,604,170,273,764,143,162,613,447,643,082,925,709,866,242,503,794,949,934,
660,574,112,983,714,276,238,107,105,123,947,070,768,880,656,331,743,215,302,
560,535,472,728,156,635,482,775,591,367,123,397,132,159,465,197,853,553,053,
432,319,844,857,720,742,108,154,092,781,913,838,035,511,330,270,638,222,006,
750,872,879,927,359,053,049,375,183,247,104,090,091,090,709,454,332,764,798,
553,533,158,853,999,891,033,776,490,061,888,411,965,302,123,620,599,971,748,
981,168,598,723,070,560,804,284,379,408,664,235,082,066,843,535,721,787,444,
075,235,824,140,687,524,950,138,437,787,459,730,090,558,872,658,979,196,467,
540,168,882,265,398,865,618,010,669,331,788,049,707,852,166,055,963,854,862,
046,925,082,600,582,743,560,518,550,772,838,016,014,791,129,211,667,042,991,
440,036,146,643,065,021,618,978,145,494,164,776,185,105,291,909,983,295,031,
452,167,164,927,302,140,157,303,828,331,619,149,643,664,520,980,643,392,631,
563,094,690,311,676,483,644,162,153,675,487,829,937,015,711,947,480,716,031,
257,413,419,932,131,510,216,872,801,163,068,416,531,760,508,591,730,839,673,
244,405,903,659,763,483,484,501,243,735,472,415,958,665,097,568,396,915,274,
820,079,209,325,285,508,071,160,528,672,106,557,946,225,681,093,181,206,962,
563,021,169,044,141,387,773,717,585,131,356,830,017,063,143,940,100,402,927,
294,907,006,265,695,693,904,313,195,544,907,607,769,040,576,148,005,742,385,
492,772,230,923,250,899,856,980,055,392,820,446,274,489,269,544,560,503,782,
876,831,193,564,226,718,029,901,717,379,424,968,954,243,583,649,745,195,945,
605,626,721,327,097,186,363,687,269,598,966,036,434,736,888,232,972,032,475,
574,893,589,865,763,372,700,350,070,104,167,682,419,304,061,870,683,754,101,
066,353,110,908,655,796,745,350,846,828,070,392,421,899,611,902,406,789,849,
476,583,187,935,729,755,330,961,590,293,395,839,680,122,881,596,654,149,553,
691,822,520,166,779,646,709,194,664,206,004,616,022,583,830,537,229,819,000,
564,267,175,242,757,580,487,590,096,844,052,253,324,349,906,171,079,595,210,
071,696,803,212,857,681,808,723,453,235,936,073,911,271,092,756,145,293,095,
156,985,561,471,599,538,736,579,753,373,985,640,891,260,629,177,483,627,229,
673,077,928,004,574,083,705,800,450,860,114,621,648,037,891,181,612,693,120,
820,785,640,202,458,174,396,015,739,934,204,293,976,091,932,386,141,925,526,
626,837,624,328,639,873,764,169,629,402,321,030,296,716,806,553,168,047,012,
266,855,086,883,191,645,117,220,810,754,935,934,424,337,191,420,876,202,180,
521,114,970,290,443,739,512,406,317,831,882,929,140,307,008,805,534,484,444,
565,520,797,554,661,913,985,731,977,709,236,659,132,927,632,914,474,362,488,
908,259,485,571,551,677,259,966,830,785,086,659,863,915,402,946,044,774,056,
382,223,454,961,133,047,009,867,930,087,891,205,356,574,284,992,817,066,259,
608,259,088,098,261,058,750,456,275,612,782,924,211,933,055,757,713,794,382,
239,822,097,742,455,633,220,108,262,186,773,738,953,218,147,662,959,003,832,
232,879,148,749,773,349,878,478,985,980,771,279,308,358,247,418,104,805,960,
804,614,546,212,064,229,520,800,265,950,569,041,394,386,013,547,106,237,070,
478,252,332,398,586,920,784,850,090,194,216,860,763,174,139,452,560,130,836,
154,480,340,700,335,198,167,005,556,665,009,223,254,135,363,221,554,896,282,
027,087,907,900,565,346,264,201,662,190,521,202,726,885,363,481,185,640,650,
413,061,963,857,058,051,654,947,071,190,621,515,980,693,921,672,727,418,165,
508,422,100,718,600,026,936,892,913,568,770,545,275,619,137,298,526,299,176,
754,449,507,839,063,020,539,795,755,922,318,757,313,218,256,881,337,321,088,
373,251,823,046,771,243,628,969,746,002,150,988,942,633,153,740,055,200,138,
038,136,476,083,777,324,875,061,247,061,255,436,353,895,096,645,222,579,990,
612,892,757,940,941,613,542,494,454,849,222,121,155,904,090,142,755,354,332,
622,897,373,190,476,491,190,145,094,728,696,914,511,007,673,670,794,388,137,
608,846,113,540,122,582,947,677,087,318,997,879,079,616,493,555,647,529,532,
416,567,201,571,920,990,676,461,775,934,003,463,063,927,792,154,546,108,167,
282,854,941,403,488,769,307,804,148,341,608,764,093,959,350,201,489,851,517,
565,666,689,936,180,825,609,627,856,568,842,346,456,485,627,780,272,061,572,
879,166,701,807,919,441,970,604,820,629,022,486,937,864,169,070,049,196,020,
291,831,634,964,171,697,306,724,820,536,534,108,958,585,139,233,640,150,685,
865,825,727,510,934,760,248,913,240,349,510,966,370,655,559,609,008,695,122,
028,811,592,536,637,667,254,237,651,002,618,182,763,310,546,779,066,352,386,
512,584,583,153,265,565,989,788,616,875,614,019,501,711,240,741,016,673,975,
309,797,949,226,036,406,034,484,525,100,273,967,991,159,017,379,822,654,115,
177,919,752,845,031,613,061,721,990,306,936,936,056,023,518,516,248,192,120,
542,572,686,924,749,078,840,280,058,182,246,542,005,441,242,617,918,477,544,
500,322,433,013,210,677,574,726,926,646,626,690,698,249,155,676,659,094,060,
273,545,822,669,764,291,152,264,968,517,895,208,276,562,077,613,432,765,451,
469,789,141,966,024,144,776,329,377,311,816,740,464,941,998,911,208,742,336,
546,224,259,087,009,718,343,878,235,799,084,624,513,157,458,898,435,864,893,
143,038,444,772,360,697,929,552,669,797,982,206,377,034,590,220,008,526,301,
570,116,193,697,333,266,507,678,584,345,731,114,239,722,194,294,476,962,107,
168,532,378,590,845,031,016,100,360,873,342,026,072,930,566,454,966,746,333,
843,689,528,040,937,204,081,131,178,566,578,160,013,709,902,194,192,889,982,
299,543,518,001,267,920,451,339,423,126,768,951,244,369,063,918,047,974,408,
862,613,296,174,011,596,995,705,544,988,199,427,288,338,759,189,526,941,440,
545,796,379,974,578,740,545,972,122,487,715,266,589,773,737,919,910,435,282,
409,557,470,761,811,395,003,789,664,207,697,186,865,230,279,814,676,177,850,
824,952,661,580,790,269,524,655,513,939,933,188,833,828,002,258,802,517,194,
208,393,717,578,029,827,867,503,408,927,114,204,135,954,255,912,027,117,733,
231,568,731,996,696,374,012,567,826,274,919,858,451,641,093,690,121,593,632,
167,543,151,039,755,925,510,456,663,138,188,779,381,281,611,868,820,698,673,
256,190,505,698,023,089,362,435,801,637,170,472,087,292,513,429,855,916,018,
889,209,784,861,241,781,279,941,764,837,213,190,601,907,730,392,040,709,064,
653,256,927,728,973,636,315,284,368,943,242,616,882,721,951,222,647,554,674,
644,357,820,967,876,672,460,605,914,128,000,247,602,604,679,429,931,067,719,
669,883,634,058,111,378,890,244,410,579,419,554,331,330,799,899,542,769,569,
982,706,069,782,109,388,803,837,696,015,018,552,627,497,651,630,436,782,037,
083,989,469,086,218,336,669,832,767,590,021,570,984,051,865,283,602,454,571,
402,294,689,578,969,435,027,917,911,798,983,401,602,582,639,700,838,256,299,
270,425,798,765,398,885,240,218,737,062,587,738,836,671,495,111,356,872,607,
310,272,841,652,453,712,575,277,116,542,751,010,519,936,189,378,826,254,420,
799,422,920,027,528,641,224,461,833,693,370,991,636,975,528,388,761,681,234,
138,274,226,127,523,497,544,779,963,801,080,623,344,453,810,753,985,676,674,
769,486,746,513,744,913,992,329,965,993,831,310,831,166,596,485,488,947,579,
916,968,655,359,062,042,258,741,125,171,284,005,797,515,344,170,130,739,266,
381,586,739,226,789,507,795,996,412,463,492,323,531,793,328,229,799,181,050,
752,014,723,907,989,226,508,565,274,266,441,712,260,612,087,694,906,065,682,
745,351,814,968,983,511,267,053,347,884,536,230,800,092,787,716,937,076,774,
270,024,999,147,629,311,683,721,389,213,905,658,608,898,024,478,163,393,202,
773,210,383,807,913,785,012,863,672,761,975,649,988,424,073,284,678,596,871,
083,858,141,731,997,505,119,085,675,517,198,352,483,330,384,798,549,599,839,
213,215,073,332,963,282,367,080,072,821,346,988,920,717,936,202,863,247,076,
733,386,065,207,363,497,021,811,112,959,890,190,783,189,190,057,653,243,773,
509,357,655,667,162,991,453,801,100,274,632,023,879,042,024,437,064,709,313,
240,063,867,244,515,901,282,104,203,772,750,289,667,246,077,374,739,865,338,
285,617,056,811,026,305,502,918,277,809,873,439,390,087,519,573,226,680,481,
182,125,027,560,434,156,645,882,539,742,040,187,531,045,584,273,157,252,874,
585,139,045,715,836,829,198,807,982,507,642,428,218,975,411,446,004,204,631,
736,606,888,721,521,573,649,194,428,543,358,112,946,386,257,301,111,189,909,
740,692,262,268,989,254,365,213,072,423,127,172,997,192,460,088,416,523,666,
153,158,168,805,696,260,706,094,549,603,679,668,729,250,420,605,539,118,729,
376,762,481,997,593,691,519,952,498,821,269,671,660,036,885,505,640,008,819,
322,729,573,534,619,601,399,940,290,677,441,754,398,869,828,756,323,636,286,
213,358,317,700,424,298,574,801,208,809,877,367,233,339,425,605,174,463,469,
916,419,167,846,292,675,141,733,866,147,298,819,849,367,352,655,728,903,223,
398,412,564,124,305,258,790,985,537,075,883,371,645,065,344,147,826,282,102,
438,649,841,495,651,621,319,317,066,048,976,478,286,611,956,475,637,100,421,
003,892,598,825,515,513,689,794,273,948,537,892,647,711,024,029,671,992,669,
625,551,376,589,785,732,029,524,336,908,557,701,690,361,736,524,834,696,409,
597,582,030,750,545,040,422,495,384,365,534,354,206,903,677,680,109,738,215,
532,740,893,226,018,385,212,331,869,491,213,554,122,115,253,728,978,478,002,
670,365,137,523,050,482,535,936,514,844,372,394,220,716,550,994,967,439,569,
914,584,498,810,951,515,890,250,416,599,681,376,895,980,818,514,169,689,807,
844,231,279,466,177,778,359,054,312,893,650,187,548,418,068,480,735,864,714,
892,244,881,367,089,048,264,047,421,903,086,245,030,109,391,892,011,117,337,
878,933,936,362,393,896,780,657,844,924,203,889,860,578,273,650,294,045,211,
145,560,507,807,680,057,052,648,960,048,144,082,348,020,516,408,205,880,786,
039,875,219,712,637,072,934,255,617,569,316,686,021,554,118,363,418,556,210,
192,845,683,631,871,185,815,025,159,184,615,432,634,200,940,147,908,669,598,
304,596,719,633,779,354,081,277,492,308,301,295,776,769,137,830,244,115,997,
161,103,739,620,711,601,516,497,098,212,992,770,470,919,962,672,544,551,505,
067,026,209,053,402,492,949,264,231,204,493,076,828,257,791,337,919,105,684,
554,622,365,600,319,614,153,121,740,512,470,788,679,188,854,437,707,945,904,
964,195,367,685,067,246,663,526,284,539,147,194,623,543,466,700,517,919,916,
966,725,243,645,235,301,569,030,974,170,537,067,718,393,442,688,953,503,553,
750,947,013,417,495,313,459,442,443,744,136,396,363,622,819,526,543,993,552,
444,224,915,268,662,744,525,807,729,754,372,411,990,773,594,893,248,905,464,
475,256,377,422,190,300,005,424,368,180,060,982,130,533,526,966,108,339,548,
205,607,029,109,381,244,122,929,561,856,992,619,968,369,725,182,494,326,062,
983,416,344,610,059,226,572,075,833,744,981,568,501,437,747,822,650,348,853,
842,139,166,333,075,827,651,816,884,262,391,382,425,789,763,325,086,845,151,
884,942,676,368,647,200,653,036,141,068,165,409,743,906,355,827,137,761,611,
260,142,391,643,821,638,776,956,460,099,386,869,794,363,756,183,779,404,477,
468,853,788,809,850,248,171,919,587,441,674,879,927,645,490,299,317,697,382,
969,726,865,761,460,271,591,427,055,489,886,024,119,540,966,843,434,765,557,
897,181,733,847,674,444,000,751,227,680,789,064,752,706,177,513,077,803,481,
679,262,669,334,103,713,628,226,360,204,957,001,547,690,169,212,875,459,603,
329,829,478,170,038,833,821,037,703,714,188,086,517,003,297,097,481,347,539,
577,620,067,929,265,281,709,630,843,423,600,291,271,809,790,567,389,067,480,
571,332,133,250,773,494,421,452,806,910,254,078,148,066,710,002,699,373,347,
583,326,856,425,628,049,861,638,736,723,126,725,752,943,902,554,245,525,402,
033,596,497,718,000,682,670,334,576,633,810,503,722,665,723,356,986,549,050,
855,623,833,185,779,714,528,647,799,934,185,971,367,518,273,253,367,797,786,
039,344,477,073,512,954,759,515,425,940,559,117,914,044,328,241,333,591,331,
092,930,346,917,894,207,455,870,096,953,341,090,004,981,906,401,209,889,609,
626,298,836,549,607,791,461,441,632,911,835,891,591,610,452,011,731,415,608,
314,303,033,114,159,246,430,314,910,438,435,841,705,254,759,154,962,608,430,
978,993,695,881,944,318,969,285,965,536,317,600,381,302,870,518,801,662,733,
941,254,065,210,349,235,434,041,196,403,016,251,611,479,667,306,940,812,612,
862,764,267,447,900,843,495,429,955,452,067,364,542,816,979,315,878,104,563,
741,194,516,709,983,323,179,948,198,780,967,100,271,214,054,046,639,177,319,
392,734,793,161,757,494,877,054,284,105,957,217,694,888,564,179,131,928,443,
865,356,796,343,644,790,062,637,982,315,463,673,519,403,854,357,989,585,911,
568,514,758,212,633,682,094,161,848,706,031,015,381,953,622,058,041,017,656,
220,786,247,748,390,631,124,306,767,234,372,912,310,801,025,771,322,583,703,
680,555,797,491,063,130,469,475,294,336,458,833,572,028,645,814,858,570,734,
439,423,597,649,436,850,330,235,326,355,822,930,900,351,470,991,458,836,305,
394,524,254,047,726,956,829,156,439,939,512,670,619,641,381,445,664,596,942,
463,830,888,593,234,485,202,871,248,552,953,070,187,713,685,307,965,179,210,
854,445,911,751,290,540,952,772,818,659,948,663,660,557,763,804,331,306,902,
267,160,807,677,891,619,073,554,040,431,649,256,160,919,611,276,924,971,931,
211,283,531,444,279,643,261,759,399,535,087,139,679,581,659,388,691,865,257,
234,275,532,902,588,062,697,235,183,505,142,374,147,291,222,888,824,048,868,
187,771,628,655,303,845,659,816,785,500,360,522,111,923,530,736,953,328,058,
975,185,472,745,212,626,274,468,894,930,731,128,403,673,862,738,231,439,416,
501,071,549,429,166,678,112,014,371,162,318,526,011,431,564,024,997,675,553,
099,887,285,012,620,149,682,087,087,099,227,755,696,530,516,731,350,831,770,
906,495,505,394,000,339,281,996,908,965,284,619,817,259,682,466,312,709,574,
234,712,814,264,127,207,255,563,975,773,408,141,926,556,639,201,296,548,267,
704,577,539,605,284,609,434,024,231,250,167,534,260,830,460,051,737,837,372,
179,541,502,160,424,780,312,004,106,620,813,445,375,639,839,350,483,800,820,
817,996,164,224,724,567,934,890,818,658,340,900,799,427,486,685,663,272,009,
745,109,159,260,271,749,966,483,076,909,158,273,285,470,604,751,764,546,887,
448,784,430,664,868,360,422,130,712,751,604,332,178,247,100,898,873,507,830,
024,369,528,004,702,006,523,369,540,064,042,943,642,427,196,648,909,131,181,
720,359,325,079,428,044,171,881,119,251,349,583,463,354,076,867,424,366,143,
434,761,684,901,444,359,364,059,307,844,254,248,891,408,467,151,364,142,374,
615,368,908,202,190,931,247,658,121,454,689,871,742,042,475,764,850,819,607,
316,641,522,282,281,986,430,661,750,364,804,101,623,336,497,735,857,812,015,
467,558,312,535,401,028,933,269,774,909,944,051,931,300,349,784,433,304,191,
428,917,466,773,608,685,881,425,019,979,639,755,849,741,079,438,823,228,947,
686,763,401,985,296,575,642,288,406,146,581,974,795,522,141,436,162,905,264,
630,188,863,402,760,615,091,829,099,376,298,314,146,693,109,431,570,894,179,
548,924,547,430,431,596,335,359,381,687,142,202,320,016,507,263,189,487,531,
371,491,699,222,021,409,508,538,872,991,529,805,036,008,044,134,830,433,928,
634,554,154,197,533,777,926,383,055,637,096,394,908,406,000,425,278,017,911,
031,252,423,340,744,906,191,468,697,873,176,385,501,903,238,006,371,494,567,
917,165,947,032,438,122,991,380,948,055,025,365,253,994,363,404,013,203,208,
040,259,440,564,613,667,940,784,598,419,349,088,590,585,232,210,644,506,421,
496,251,558,265,755,985,035,735,853,345,687,472,124,087,047,400,636,122,073,
112,036,413,698,876,221,436,549,591,847,944,236,401,716,746,921,237,281,797,
227,538,143,558,652,299,876,508,299,834,310,372,068,892,314,989,821,267,487,
869,731,579,248,172,437,460,238,895,654,509,862,833,036,906,822,274,182,458,
990,494,417,196,917,157,699,796,470,597,809,832,899,907,722,624,275,612,158,
791,417,929,997,155,207,044,007,918,039,178,163,008,661,428,493,424,129,944,
741,876,688,719,197,374,822,174,399,300,967,809,338,527,197,082,404,883,486,
896,740,016,654,333,660,711,945,685,004,497,126,356,791,759,643,239,805,419,
744,032,443,539,624,544,240,354,072,323,638,601,775,288,058,013,763,077,414,
965,267,698,103,956,509,024,795,052,010,230,996,810,941,349,573,308,924,958,
595,406,812,539,910,045,203,739,392,801,532,832,622,396,627,874,202,429,290,
398,748,213,599,245,741,624,695,488,929,742,519,827,338,329,404,550,286,711,
695,025,583,081,130,321,939,968,546,612,374,318,765,400,542,775,017,512,482,
743,380,926,279,474,004,395,150,740,266,534,395,536,135,659,834,796,588,840,
518,790,092,467,770,467,832,360,025,990,285,772,207,162,145,912,929,272,302,
715,679,481,584,452,504,956,724,291,792,509,776,871,647,963,856,836,551,176,
337,795,910,958,709,560,341,448,836,174,781,007,299,726,662,798,918,541,643,
175,585,926,638,038,399,093,700,722,237,345,015,358,128,466,822,462,400,559,
874,943,516,860,638,355,756,305,184,053,760,551,291,566,379,401,367,738,977,
910,374,926,103,753,829,467,051,725,124,078,499,394,117,259,910,662,038,099,
918,118,342,607,526,614,253,823,496,153,864,955,823,863,295,168,458,410,997,
468,251,709,276,255,502,326,580,329,275,859,069,492,146,080,110,461,426,919,
538,370,536,316,264,824,901,187,230,424,104,787,673,800,326,300,295,322,164,
135,145,727,708,167,491,392,821,226,960,825,333,374,692,717,086,006,967,197,
290,302,591,288,780,684,853,638,686,576,503,634,216,724,747,476,045,438,113,
962,739,545,742,360,837,650,239,305,706,314,729,595,344,111,338,290,381,454,
610,140,707,475,097,334,510,612,088,993,970,316,469,453,585,294,364,982,087,
490,470,716,306,227,256,549,381,490,816,461,640,364,976,702,017,466,673,014,
457,395,374,717,998,288,472,778,454,381,001,451,404,870,515,385,746,127,695,
543,912,655,318,126,935,969,380,119,138,791,475,597,822,409,828,196,887,880,
245,650,538,240,866,851,823,893,809,186,787,182,120,757,436,149,665,613,590,
349,605,085,958,929,823,844,099,482,082,531,099,094,208,927,356,940,816,650,
996,596,644,155,323,218,641,065,768,730,862,481,355,054,900,545,449,278,763,
797,645,177,615,039,052,303,087,941,086,564,561,066,112,462,741,449,609,561,
623,958,084,225,508,598,625,034,906,139,327,442,461,226,150,157,271,360,712,
584,770,127,949,340,652,222,583,680,711,618,535,793,551,716,520,947,935,906,
648,774,077,452,070,011,983,375,613,875,840,634,693,389,919,301,775,443,153,
725,229,125,260,403,626,502,568,552,378,724,289,337,187,490,269,294,264,158,
977,086,138,857,962,904,377,429,561,140,451,759,804,482,113,837,940,311,341,
965,790,456,709,451,982,201,417,524,223,375,418,814,888,195,646,112,111,336,
365,452,756,048,680,398,444,522,120,426,310,455,034,469,764,868,645,764,157,
942,311,692,358,463,637,426,454,291,269,918,478,841,659,710,598,334,286,984,
024,694,164,254,217,031,415,180,026,780,988,664,798,645,828,024,287,321,430,
364,065,424,480,667,954,543,478,997,071,319,017,327,839,828,728,494,596,110,
537,947,754,450,764,366,948,798,064,238,227,765,181,181,097,970,881,431,635,
951,056,422,659,708,311,566,039,022,190,234,133,491,417,910,256,001,561,995,
518,065,381,359,460,663,918,814,443,164,357,996,007,130,089,131,179,333,005,
941,063,663,289,772,340,135,820,166,690,349,322,195,243,947,334,384,488,978,
835,906,064,905,997,049,658,956,297,067,440,485,771,411,309,314,780,997,008,
535,445,352,218,305,695,171,830,860,234,426,092,357,658,660,438,615,844,865,
275,990,121,655,174,507,140,641,719,031,677,593,851,975,829,519,652,193,749,
615,776,799,602,670,418,549,311,696,872,374,702,163,398,360,349,551,635,735,
301,240,428,409,251,391,981,377,890,469,415,992,657,816,313,164,896,940,741,
208,592,839,194,570,393,059,199,390,843,068,700,510,663,652,190,339,596,936,
339,153,139,857,112,697,381,492,452,158,190,227,438,702,152,929,536,090,746,
084,929,606,749,189,759,781,612,983,807,939,404,244,770,907,822,871,515,988,
402,324,711,013,535,787,228,172,358,804,871,769,024,896,378,662,936,671,327,
682,568,341,827,164,387,060,973,866,340,272,988,640,752,140,695,661,547,665,
416,700,546,597,109,570,877,414,393,523,842,100,153,119,236,209,415,725,769,
750,107,406,720,895,002,989,203,830,128,167,139,565,509,103,195,689,178,039,
341,204,714,974,793,119,521,165,319,020,597,380,505,595,239,789,721,269,401,
674,991,104,163,329,115,084,271,333,444,255,582,174,104,563,060,802,070,841,
358,157,282,612,754,482,315,056,604,679,468,659,711,422,551,041,356,698,812,
332,670,425,200,620,937,232,118,974,618,744,569,417,869,866,748,860,151,352,
356,936,780,422,845,025,278,410,700,863,918,140,674,229,932,325,285,932,385,
023,026,940,688,312,619,544,186,417,160,184,210,311,887,738,292,836,363,212,
304,331,406,668,773,861,773,069,517,249,446,159,802,003,754,349,690,506,581,
254,204,142,029,769,955,308,365,313,804,283,318,819,759,590,338,283,464,610,
307,837,828,753,547,791,182,112,484,089,746,870,809,841,371,836,077,622,419,
887,008,565,548,192,508,391,135,546,812,348,966,016,086,734,695,969,032,538,
841,233,347,332,828,448,400,280,098,981,581,023,053,603,845,588,482,123,998,
452,514,456,042,534,599,064,211,353,746,938,436,814,979,558,759,748,098,202,
477,638,220,617,549,492,797,971,606,890,673,637,436,906,279,462,398,658,176,
258,671,061,997,736,079,651,244,447,759,086,077,057,256,898,399,873,806,587,
318,067,487,837,306,296,838,982,492,932,653,952,106,601,114,952,920,285,428,
598,690,762,443,719,396,653,887,023,650,164,326,226,975,149,601,693,395,702,
309,775,104,485,510,874,316,123,262,468,064,331,382,500,652,390,241,238,391,
908,384,312,176,404,685,586,411,042,989,221,304,345,234,728,940,800,119,853,
458,430,427,324,460,020,248,936,383,780,107,985,750,682,342,737,012,065,464,
910,593,206,673,692,935,148,127,752,221,182,359,205,801,678,345,713,721,860,
140,586,998,655,297,632,555,126,196,936,600,101,096,581,461,748,220,004,304,
769,293,919,735,344,747,357,479,800,421,798,540,687,393,316,798,219,756,389,
594,402,296,100,763,904,743,996,389,435,107,784,045,881,868,705,509,995,421,
378,283,857,213,136,601,090,015,911,342,361,068,221,097,581,051,588,372,750,
666,674,050,584,347,248,331,873,284,974,509,204,337,571,967,392,589,103,264,
908,360,414,412,959,423,141,460,219,702,027,287,082,402,651,795,271,608,757,
625,955,744,883,317,113,985,354,752,194,249,676,186,979,591,314,779,791,574,
837,587,568,598,408,375,435,881,735,914,189,155,511,652,050,201,189,447,822,
200,818,701,367,238,751,807,615,610,785,312,259,207,848,256,709,384,501,871,
903,240,444,747,835,304,427,039,054,430,604,852,615,002,091,906,114,197,846,
076,592,724,753,688,520,292,731,961,544,104,119,411,626,813,275,642,440,260,
687,190,282,921,347,934,737,532,265,115,517,073,095,001,970,983,937,342,722,
195,963,159,709,882,839,494,360,587,956,728,278,089,243,280,190,079,698,984,
903,361,812,552,917,369,211,171,758,122,559,413,893,149,350,035,719,227,825,
414,948,190,296,186,447,119,575,258,654,303,110,686,610,226,194,442,397,960,
717,852,647,562,371,693,493,515,394,675,125,491,768,657,010,021,018,564,563,
001,703,420,130,759,163,438,460,897,331,173,246,040,281,291,630,881,121,174,
331,841,204,435,879,919,569,142,827,145,780,706,403,590,166,646,387,610,368,
119,283,171,382,051,499,503,787,406,054,458,776,160,144,748,294,498,622,429,
771,854,423,285,617,004,287,536,208,241,445,432,091,153,762,365,082,611,738,
980,855,214,104,960,914,885,427,095,202,695,724,961,954,119,714,405,116,374,
342,937,843,966,234,770,692,475,780,240,392,887,300,860,888,480,731,183,010,
235,035,109,922,032,994,383,294,998,965,133,301,774,048,771,631,267,654,670,
205,369,649,215,472,736,159,434,064,012,244,129,415,982,992,866,505,159,360,
554,691,177,346,453,639,862,587,186,353,129,959,267,626,586,402,153,780,140,
467,038,503,334,358,279,095,366,548,490,893,317,845,127,802,018,031,561,437,
594,351,536,966,676,929,058,605,402,349,482,242,686,260,436,556,037,208,682,
659,816,000,789,983,294,876,738,026,165,380,246,738,021,627,673,824,979,597,
501,240,552,928,596,264,564,194,941,258,567,485,985,876,252,897,648,987,680,
664,295,187,103,714,826,043,848,602,361,205,516,780,194,491,807,954,454,160,
353,842,901,155,025,959,390,382,063,950,795,574,842,070,635,274,764,115,554,
257,924,166,835,828,036,146,966,748,745,428,589,331,359,042,678,326,129,012,
483,927,584,609,464,875,497,892,535,986,605,945,831,157,067,330,765,059,689,
235,970,703,397,807,878,451,383,600,621,353,486,772,349,711,364,617,034,848,
917,913,960,557,750,362,002,253,244,862,906,466,744,053,830,857,378,911,450,
926,399,070,748,667,014,836,816,377,401,543,786,907,168,108,325,759,498,717,
704,750,848,190,364,285,988,782,255,369,929,095,784,349,770,723,977,176,879,
990,349,629,213,373,019,857,285,088,340,384,875,256,677,428,422,685,791,099,
320,081,717,588,983,448,311,888,025,177,944,376,855,353,501,137,345,395,571,
973,423,940,103,835,421,441,647,486,564,033,595,113,392,407,968,020,961,350,
957,647,528,192,286,393,607,340,870,556,137,856,291,732,213,927,687,060,569,
070,073,148,638,565,829,945,287,310,837,576,989,369,244,942,634,748,246,359,
619,116,680,384,352,129,510,713,784,991,343,956,520,626,559,986,779,236,277,
774,080,611,722,802,696,793,338,403,431,988,746,438,838,785,467,082,737,678,
840,351,855,518,999,009,329,702,669,018,054,233,360,456,172,390,943,668,111,
039,846,580,837,794,016,508,662,146,139,471,676,776,490,267,929,346,198,212,
083,712,235,158,125,765,567,735,045,129,396,652,139,743,076,257,889,135,874,
236,985,273,424,102,760,613,552,264,600,873,451,279,865,611,744,330,912,963,
535,761,079,701,493,265,673,660,782,275,327,103,977,595,703,243,683,811,565,
358,844,386,746,438,506,754,605,566,444,088,601,567,268,145,298,803,929,168,
056,819,620,745,573,915,135,908,410,821,531,821,836,029,369,425,879,832,310,
651,596,167,992,427,310,945,774,438,680,800,796,063,900,471,680,508,694,044,
227,824,056,508,473,305,074,795,311,435,725,042,269,728,951,548,244,995,207,
974,258,199,925,097,897,879,232,623,839,307,747,639,604,570,618,332,543,256,
973,608,207,730,158,706,831,706,834,066,686,334,069,545,518,043,453,250,225,
791,020,350,457,606,253,678,827,944,911,880,137,581,310,841,376,420,594,026,
048,864,756,085,235,299,842,424,288,732,080,886,095,989,472,179,641,946,234,
153,918,084,306,583,524,214,190,354,779,680,333,540,873,852,521,290,697,159,
584,122,517,916,377,279,507,685,598,633,135,686,341,150,145,743,950,202,136,
354,504,005,043,871,046,526,432,151,207,380,228,690,124,633,053,847,114,843,
953,134,678,540,976,609,499,912,260,842,808,803,837,338,292,321,309,598,424,
486,983,947,387,470,852,513,730,325,622,216,911,606,966,186,077,029,349,993,
365,930,495,772,695,556,162,843,586,141,703,602,461,539,354,340,442,458,523,
601,425,346,364,820,565,551,848,545,217,967,548,610,410,506,233,660,725,320,
794,278,482,021,785,962,406,485,232,753,720,977,813,929,367,798,053,037,030,
344,445,182,556,234,210,152,180,362,980,728,654,483,029,777,665,235,337,416,
964,733,814,332,382,384,830,205,265,153,489,807,460,975,998,634,739,999,595,
075,815,048,538,864,509,329,651,794,130,671,631,987,004,310,135,882,091,012,
623,099,976,904,252,823,015,267,017,225,696,059,598,887,092,455,839,531,729,
934,588,108,588,837,301,964,528,870,608,576,606,456,256,321,085,651,341,188,
856,330,545,860,551,805,663,810,694,405,832,404,156,499,815,065,522,513,690,
892,805,808,696,324,875,782,567,715,620,328,873,836,849,763,312,332,442,341,
513,653,732,622,258,125,219,085,718,474,024,730,033,145,066,306,002,488,835,
872,640,131,826,016,960,736,395,282,017,771,344,315,482,815,302,536,885,884,
990,711,517,353,166,264,858,162,700,159,055,749,954,824,158,744,232,044,413,
050,814,710,163,802,463,815,822,727,949,175,793,984,083,623,956,629,096,604,
471,173,736,017,947,624,973,202,633,933,320,579,297,572,421,055,220,639,632,
011,181,349,230,792,314,149,863,511,859,426,409,593,669,375,180,741,624,277,
386,670,290,464,778,584,587,083,697,374,447,987,558,245,214,783,716,476,288,
037,058,879,999,535,780,005,457,836,772,556,386,847,771,617,647,865,737,100,
878,701,457,177,019,599,111,336,490,996,590,027,891,963,597,516,257,237,741,
215,816,275,115,932,174,433,743,482,098,356,046,495,479,051,719,646,759,006,
917,169,170,309,842,319,960,151,901,596,631,481,715,693,937,036,955,691,278,
298,307,013,976,791,166,284,212,177,810,296,552,832,577,630,281,546,514,747,
445,771,127,943,017,142,114,525,422,555,299,382,996,187,474,450,112,798,317,
523,549,401,502,067,224,593,858,058,118,028,313,261,536,656,145,454,561,196,
132,382,997,378,703,211,081,722,597,004,227,270,459,889,935,058,779,955,134,
701,172,532,027,004,106,446,553,025,933,268,752,430,690,214,363,730,596,944,
195,869,750,091,595,722,767,014,785,962,084,703,210,742,955,834,471,633,205,
108,820,180,077,745,874,764,491,744,435,286,783,924,531,488,771,607,638,925,
275,295,646,217,995,731,317,795,297,696,848,914,221,572,114,080,970,470,556,
693,904,711,267,265,672,651,871,221,743,899,898,058,330,594,247,508,630,917,
231,517,927,427,238,821,638,130,927,694,345,816,402,269,703,385,785,664,050,
357,483,067,165,497,329,118,296,457,118,063,738,683,590,080,865,975,097,299,
818,565,240,062,210,682,347,236,232,517,351,700,713,841,093,170,158,799,697,
645,122,539,463,834,699,932,159,627,764,243,170,878,777,766,517,213,874,012,
330,767,766,347,679,520,066,724,698,328,821,903,716,974,676,926,156,919,557,
103,447,188,218,318,239,717,787,776,418,589,523,199,937,832,046,124,510,242,
812,910,853,083,439,964,954,523,810,098,525,840,850,955,379,802,536,269,079,
713,560,977,530,109,913,883,677,838,239,183,672,447,247,728,878,517,263,450,
968,865,237,765,428,991,423,157,610,808,319,086,570,024,016,821,701,688,720,
491,587,596,612,757,392,159,383,744,751,609,564,663,190,792,879,040,122,771,
336,505,535,010,483,706,993,019,494,160,763,312,424,710,741,462,627,819,657,
382,614,386,323,982,437,684,775,304,154,216,854,620,414,722,004,398,554,279,
266,730,853,557,247,534,584,094,483,201,645,533,139,691,894,738,323,492,690,
970,785,553,826,679,579,123,955,608,867,308,698,230,006,193,964,327,307,917,
593,137,385,743,755,451,244,424,165,494,323,028,061,252,154,712,963,958,746,
420,495,667,870,253,039,242,415,935,001,600,725,676,481,356,899,312,789,191,
699,959,686,908,648,854,560,850,677,126,780,735,467,368,563,986,679,001,624,
559,486,595,691,490,189,503,928,476,868,772,039,069,089,075,140,091,862,288,
149,859,409,467,482,524,451,717,809,831,230,714,551,083,659,276,756,238,507,
791,215,631,433,302,335,548,764,286,531,186,090,289,521,918,227,210,595,426,
414,978,854,889,264,160,752,539,908,833,583,750,034,265,410,247,989,504,769,
396,236,681,634,586,873,827,908,477,772,050,768,703,199,766,346,543,489,061,
897,850,823,491,558,852,662,834,298,315,137,529,891,730,691,832,288,397,510,
296,231,610,839,919,095,602,357,047,292,229,864,467,924,420,236,886,180,748,
295,127,516,430,275,023,167,161,205,405,701,613,487,726,957,350,264,746,491,
753,414,026,093,024,507,931,706,922,134,988,606,870,445,135,353,003,744,632,
511,447,277,714,880,027,629,588,371,060,555,889,555,184,502,167,146,316,807,
252,126,978,616,315,847,604,213,015,273,896,362,450,038,902,137,739,253,858,
975,602,169,965,219,731,015,553,786,872,638,151,233,024,404,920,229,906,381,
425,526,120,884,913,339,258,739,825,592,533,871,949,700,556,013,726,729,466,
006,250,063,032,038,213,667,627,681,622,992,829,555,858,059,737,536,024,005,
829,516,297,176,413,233,429,355,720,468,886,291,506,633,533,980,640,896,023,
080,513,729,203,446,336,146,966,139,829,138,743,993,547,278,718,771,396,877,
383,533,418,433,001,848,208,719,498,161,543,795,047,871,521,223,848,202,112,
158,761,244,400,562,365,514,159,631,172,023,382,525,603,720,936,888,907,547,
174,862,279,926,877,739,725,469,992,925,185,209,046,830,045,650,648,762,362,
165,500,982,269,654,018,514,891,147,010,397,829,341,335,559,007,288,821,415,
674,964,184,353,113,784,143,001,918,160,207,595,740,347,390,131,464,102,909,
106,635,284,300,462,263,320,425,438,096,271,593,552,024,481,213,514,882,789,
342,707,774,208,879,039,052,024,893,175,230,250,968,463,488,270,634,882,877,
551,458,389,125,123,321,676,425,219,828,924,918,778,134,360,067,414,049,862,
589,172,575,452,143,446,696,067,351,220,261,226,102,913,663,420,841,601,184,
527,449,438,886,551,329,029,075,617,911,842,707,007,895,081,123,738,003,554,
078,516,393,503,741,549,134,883,949,655,686,359,860,447,084,673,719,881,942,
726,871,756,232,358,884,975,589,032,561,438,514,512,293,381,402,006,090,078,
411,965,529,526,374,249,518,315,510,232,339,750,600,346,740,977,493,230,183,
628,500,893,086,187,441,752,428,770,523,801,504,937,294,284,820,046,756,775,
089,378,580,244,216,704,173,188,582,662,492,318,693,899,782,385,340,986,075,
548,775,332,858,787,686,185,721,803,930,774,668,587,960,420,123,124,261,777,
514,617,398,586,472,555,580,980,152,605,992,258,925,445,608,626,867,485,088,
301,751,267,462,567,816,576,128,965,746,940,421,349,746,291,880,447,690,801,
921,071,968,671,313,423,478,047,725,622,982,916,874,869,719,815,947,351,954,
017,043,275,836,870,159,190,996,623,355,310,480,450,413,682,380,970,234,293,
351,741,953,400,890,728,802,309,136,469,020,174,504,669,513,475,141,830,088,
113,466,360,032,741,833,298,475,169,295,987,256,568,160,571,244,439,323,610,
059,615,801,959,168,211,730,860,803,832,750,499,948,543,149,704,752,596,668,
345,610,697,846,908,571,891,989,239,653,319,384,195,203,489,796,188,084,607,
561,184,643,122,369,679,009,730,454,208,695,024,015,656,064,756,313,617,779,
879,004,923,315,016,658,135,606,992,135,500,461,688,140,276,784,108,197,758,
003,848,654,321,208,724,489,104,186,213,396,691,494,610,756,557,379,359,478,
011,855,988,857,540,191,441,166,259,755,555,525,719,973,628,350,581,021,501,
845,616,839,027,969,634,193,546,601,830,522,150,497,304,463,186,090,668,499,
840,247,403,141,886,753,448,760,813,656,810,367,736,924,549,077,424,844,919,
408,164,449,186,053,617,732,611,215,889,184,650,323,812,703,092,954,535,014,
714,567,098,236,717,173,594,318,066,096,893,699,477,008,735,035,763,162,329,
249,412,900,886,776,366,416,184,616,537,985,501,226,593,490,141,251,921,628,
568,126,789,121,627,769,267,823,982,915,728,018,040,781,637,703,953,880,940,
834,387,640,386,153,425,476,714,849,491,091,442,202,413,292,049,157,034,549,
093,727,682,098,326,419,771,214,288,627,625,760,730,292,945,764,272,612,719,
188,902,818,717,373,529,789,820,900,977,301,962,151,831,405,587,184,126,355,
095,977,628,861,629,380,562,055,606,755,476,152,609,684,061,048,307,536,224,
368,486,994,727,729,604,715,383,663,909,638,928,450,976,569,191,486,159,357,
582,506,188,105,265,910,941,724,136,451,220,815,471,817,846,764,550,585,850,
369,496,830,903,682,480,194,165,580,242,448,157,301,016,789,274,861,467,620,
181,779,370,819,901,137,560,606,034,950,051,912,418,413,678,439,648,052,532,
759,453,448,369,250,844,540,970,497,010,377,979,143,940,170,127,160,947,218,
702,784,941,944,257,044,531,668,572,057,807,183,602,740,412,251,836,896,655,
935,875,205,803,459,571,767,735,151,697,531,656,640,255,851,086,339,435,637,
587,455,040,463,036,553,990,506,648,988,842,237,963,095,568,664,738,729,718,
893,623,122,010,065,093,599,330,801,784,709,480,615,724,108,748,969,395,061,
435,969,390,025,489,913,202,822,725,297,514,724,346,069,986,937,072,734,755,
056,025,955,511,588,056,779,457,987,379,682,874,521,591,848,574,079,313,833,
963,646,479,557,811,465,611,335,568,623,704,464,458,545,844,273,594,180,873,
291,997,659,026,798,586,768,645,782,784,368,376,938,308,290,581,038,791,058,
816,771,155,333,068,006,294,495,706,372,817,440,641,909,409,418,256,380,551,
824,911,128,490,294,204,150,922,172,973,496,982,583,200,316,368,449,336,119,
341,955,260,458,815,194,857,002,129,256,058,768,168,850,230,073,902,032,203,
330,433,735,644,983,817,883,299,898,845,201,373,771,075,239,060,807,138,424,
338,261,982,641,786,211,281,277,572,391,299,481,437,667,053,541,435,160,102,
346,805,669,800,497,030,959,873,597,948,768,985,296,663,146,797,917,559,199,
893,406,588,716,078,608,441,033,813,259,423,122,402,715,985,746,323,459,502,
228,071,600,444,402,332,113,576,883,908,111,574,288,782,635,529,796,636,167,
745,852,700,864,373,374,451,246,810,481,572,425,832,579,374,584,326,331,808,
204,763,041,343,948,895,312,093,961,112,357,315,691,518,371,442,642,478,784,
543,425,963,639,266,467,185,816,300,852,276,928,215,987,063,748,445,007,605,
460,778,208,738,243,179,633,181,464,917,059,708,931,742,127,436,041,465,947,
342,463,811,506,110,552,642,088,950,366,485,933,984,689,346,351,778,876,501,
302,074,846,449,343,800,846,498,868,692,211,207,667,663,658,747,125,599,412,
264,644,974,357,565,504,322,254,027,217,176,251,478,079,463,899,851,811,696,
935,860,872,155,609,267,636,766,040,106,664,438,725,692,343,640,921,257,853,
571,267,369,199,093,239,849,595,012,976,662,984,115,735,255,512,164,393,159,
842,831,821,549,867,859,670,845,909,715,393,889,682,065,163,781,535,604,755,
658,960,707,426,361,269,286,998,060,078,672,060,664,432,132,867,526,651,784,
265,862,998,144,144,820,685,901,817,124,234,131,234,157,284,269,498,888,084,
649,529,200,053,113,010,077,527,042,930,278,571,892,427,676,773,937,150,876,
944,267,909,296,632,429,435,459,418,191,686,179,403,543,274,788,529,720,119,
514,154,419,470,108,258,727,386,226,490,443,272,877,927,435,796,192,378,757,
182,866,911,572,188,078,190,328,859,308,475,908,094,443,100,850,378,663,114,
872,238,496,663,803,045,369,219,797,615,365,401,076,472,357,054,842,367,580,
807,949,427,583,861,867,049,082,460,393,343,227,799,618,927,741,740,842,340,
001,372,540,725,505,999,162,146,844,210,289,360,837,661,754,065,204,823,693,
832,981,224,719,076,926,208,188,035,672,942,019,807,413,381,195,186,097,715,
828,101,450,290,121,013,422,059,230,912,229,550,727,151,208,888,602,791,570,
149,819,748,652,258,785,225,889,406,955,716,940,201,584,539,472,204,833,686,
301,494,092,468,528,112,131,676,692,570,057,385,263,643,254,646,861,540,488,
068,113,958,332,317,818,994,734,830,888,768,083,639,582,814,386,283,700,590,
104,956,499,616,590,888,706,899,683,149,528,546,721,351,371,677,142,301,766,
382,453,441,150,301,505,310,269,752,500,818,603,809,141,416,153,830,558,375,
609,799,340,346,243,250,814,209,571,072,093,948,224,306,767,906,410,700,231,
008,285,742,076,441,195,822,475,326,134,704,876,712,468,839,896,060,954,426,
788,974,765,445,284,606,656,268,093,311,676,274,174,212,580,310,427,525,896,
869,737,342,029,990,168,579,670,620,891,079,453,200,995,853,786,089,768,622,
353,437,435,506,464,532,995,492,582,838,122,692,420,547,319,588,389,317,108,
873,121,631,988,974,403,440,163,732,840,158,195,077,227,329,547,377,732,362,
044,245,645,059,749,512,610,623,304,229,710,468,761,120,207,342,132,768,865,
825,051,790,439,333,968,745,198,382,265,901,537,225,525,806,831,793,399,756,
990,427,027,024,457,690,166,350,769,503,841,935,107,083,036,530,018,992,217,
636,836,843,497,150,965,717,006,067,825,928,386,966,286,571,444,645,529,967,
629,984,276,866,283,058,438,965,449,342,104,105,544,886,528,813,219,784,991,
855,503,289,032,634,797,436,272,821,194,897,467,626,743,659,901,293,290,582,
800,051,450,259,461,417,290,826,213,362,301,863,607,066,593,428,263,425,495,
102,991,570,433,865,622,911,349,907,925,181,667,410,798,021,334,957,237,779,
284,423,190,773,748,772,399,340,929,884,094,706,757,386,236,774,490,174,358,
489,469,994,284,664,580,901,895,442,143,794,839,655,052,643,760,033,864,310,
573,173,923,641,112,170,646,689,213,994,529,880,302,541,701,828,297,438,173,
473,289,892,208,999,001,546,916,454,100,042,715,583,332,384,785,164,478,991,
475,833,176,317,995,670,604,112,048,438,525,058,477,055,917,481,715,593,760,
858,926,919,017,409,288,490,288,616,438,465,619,291,272,992,998,271,834,429,
800,567,350,028,947,555,502,609,978,370,557,813,052,805,671,968,113,290,252,
245,117,132,350,700,156,422,861,304,130,656,070,299,370,794,366,797,196,836,
042,712,319,232,520,412,171,935,321,845,168,506,929,055,347,732,013,009,358,
563,872,255,274,831,771,371,382,453,490,082,978,299,389,511,040,155,751,062,
940,829,571,082,790,678,084,853,765,969,023,100,086,299,845,056,394,393,147,
110,797,378,948,157,013,017,637,881,402,008,586,888,494,325,457,939,287,665,
083,992,658,327,115,303,299,487,408,132,528,237,905,801,021,013,255,395,174,
608,696,719,379,886,856,750,275,093,909,866,212,308,766,250,598,235,107,083,
562,216,792,451,966,693,100,200,532,053,935,619,544,935,993,275,118,440,446,
693,397,752,876,997,486,595,875,923,273,889,660,443,383,537,680,227,812,761,
955,230,381,460,957,567,444,869,327,113,592,472,346,651,659,161,617,956,973,
494,944,802,240,380,624,268,354,307,513,643,460,804,256,124,768,850,408,709,
896,597,505,157,305,903,839,768,016,564,338,929,658,146,461,363,472,015,781,
358,143,563,297,960,903,341,768,654,345,090,337,417,442,350,771,697,539,409,
152,230,914,646,322,030,747,255,751,976,413,013,786,565,897,658,928,792,254,
013,749,505,620,868,216,936,269,363,250,887,209,139,667,171,489,792,073,219,
130,906,245,339,779,317,467,515,421,372,824,787,135,590,153,523,612,483,863,
086,208,018,444,296,626,360,416,863,240,354,069,272,021,891,767,295,203,333,
744,069,433,137,982,927,177,638,793,893,934,526,284,503,740,529,319,520,750,
668,507,084,193,795,903,263,785,938,190,107,834,008,618,348,453,342,867,967,
866,016,137,624,902,205,955,440,956,177,665,318,191,437,985,089,688,776,146,
169,034,897,487,954,612,978,753,381,138,215,972,677,547,896,814,126,042,521,
757,754,653,032,456,676,561,890,284,170,326,939,079,244,458,320,836,219,054,
733,105,020,881,478,924,378,082,587,374,342,778,953,330,302,833,556,433,850,
967,072,249,693,270,746,648,922,557,923,649,085,481,338,470,431,527,372,617,
283,005,051,737,388,438,572,472,573,049,074,374,945,103,262,566,118,642,766,
088,452,435,598,503,482,710,054,528,319,955,518,482,976,004,405,909,104,546,
333,878,206,162,509,486,055,774,739,482,409,063,346,052,233,710,439,176,904,
754,671,155,608,006,885,753,915,926,844,661,332,560,692,899,698,760,612,551,
859,408,137,762,934,721,632,871,466,735,050,208,500,297,031,313,706,913,346,
264,388,922,074,825,981,014,908,622,985,727,008,710,688,308,281,456,752,069,
898,619,066,320,932,439,280,497,900,863,054,700,608,633,478,513,717,436,015,
243,044,894,409,924,569,462,384,821,562,835,893,514,418,562,778,996,021,945,
288,892,867,306,754,947,340,611,137,241,011,219,169,387,760,946,213,329,961,
610,748,011,891,834,216,297,610,748,268,564,740,431,202,414,367,338,300,488,
471,293,659,654,938,459,008,518,652,444,651,178,863,794,971,919,985,425,813,
097,115,107,869,808,565,901,562,713,781,724,973,692,437,534,939,473,066,161,
270,201,271,328,762,799,339,117,318,973,661,583,887,367,150,593,505,600,583,
273,632,985,180,793,393,759,871,813,780,792,454,562,829,788,266,668,058,987,
884,642,397,668,950,897,649,861,587,136,626,086,337,641,427,611,926,732,629,
578,754,144,677,376,662,080,742,582,046,251,168,259,907,676,367,451,034,013,
607,430,538,730,331,675,504,838,164,934,341,065,450,408,066,079,243,613,887,
994,338,162,334,416,495,786,324,227,822,352,599,915,718,341,712,190,840,823,
449,553,812,996,731,211,486,382,112,073,976,727,469,095,373,707,747,546,977,
491,234,681,057,720,528,495,625,108,815,517,163,848,109,791,648,757,361,811,
733,265,332,467,160,865,255,712,184,154,705,698,837,808,080,479,184,427,500,
626,999,387,292,645,615,213,353,554,676,853,387,771,192,819,401,991,401,829,
916,341,755,932,130,126,446,104,087,631,125,661,921,736,549,788,297,628,152,
602,101,388,452,744,621,298,419,971,355,208,234,873,108,349,387,591,650,854,
024,898,985,073,541,456,246,361,572,227,746,858,299,450,004,515,887,815,375,
362,064,870,748,893,203,877,201,621,599,638,858,510,497,325,674,221,330,180,
398,282,943,534,291,463,542,296,689,832,732,303,783,688,992,519,765,173,746,
653,647,083,997,605,748,808,559,113,816,135,412,274,800,923,183,748,580,594,
681,006,514,165,923,344,946,751,011,109,030,742,963,791,976,400,813,353,020,
377,136,938,959,254,621,410,085,411,521,612,165,412,224,280,274,204,423,046,
223,076,066,553,266,534,495,321,993,874,618,144,432,873,875,257,149,664,965,
936,960,460,544,564,912,298,379,768,524,928,552,474,713,107,235,604,456,774,
257,679,993,686,333,443,357,113,928,333,471,882,884,395,020,982,525,879,257,
166,198,292,107,294,442,769,103,234,335,251,798,848,943,875,102,730,474,635,
946,827,399,108,485,528,857,413,572,514,901,084,070,506,715,588,301,281,366,
479,810,607,432,744,754,643,460,098,270,808,053,191,539,455,139,395,771,681,
263,979,844,626,555,657,433,039,849,714,973,369,741,381,649,699,731,470,958,
286,976,683,214,653,084,782,750,743,247,407,213,823,304,842,870,312,071,612,
563,206,936,099,775,984,113,775,350,639,103,926,397,710,422,068,292,460,059,
173,765,167,150,576,289,207,504,711,108,949,282,214,401,569,156,212,269,512,
889,900,480,817,502,972,600,844,083,531,872,779,202,311,055,895,181,722,793,
996,791,419,080,400,983,874,961,918,591,081,105,599,252,238,057,588,508,844,
577,253,963,551,627,194,986,099,461,747,391,115,100,924,007,253,661,361,390,
305,903,733,932,556,321,799,984,719,318,109,323,032,994,720,089,659,966,251,
517,748,951,687,836,851,927,902,886,644,088,376,717,536,991,675,343,927,482,
084,410,317,943,629,792,737,825,651,889,319,096,949,342,606,440,387,519,679,
595,926,994,258,217,390,168,550,327,669,540,274,161,835,871,906,482,248,366,
476,438,647,449,505,062,249,740,748,023,355,205,691,613,024,637,474,349,314,
762,411,821,450,789,428,618,337,086,498,101,920,974,365,768,129,127,998,325,
349,557,404,047,915,440,359,344,206,414,490,797,717,982,032,947,054,950,232,
229,887,835,402,175,966,226,142,548,305,475,496,895,160,497,235,468,907,124,
786,221,836,502,578,001,042,882,418,352,033,883,544,327,043,499,994,019,165,
415,017,259,248,953,171,361,360,674,576,800,073,856,533,409,230,725,548,873,
796,454,726,424,119,779,992,233,308,256,498,431,046,659,259,062,867,950,089,
925,303,285,749,618,554,756,489,182,512,091,868,260,600,749,427,332,662,989,
848,159,513,635,475,370,936,683,263,840,341,447,108,876,412,095,574,696,358,
073,270,939,662,193,534,380,865,688,495,525,852,510,098,558,651,796,922,352,
927,204,728,413,045,451,165,504,345,492,752,400,115,065,793,293,360,482,535,
991,123,341,832,951,001,187,473,847,379,388,048,396,880,519,019,353,009,510,
484,572,300,621,858,386,410,440,040,129,756,999,546,956,765,726,176,328,195,
805,192,222,924,667,076,535,340,368,266,712,377,417,516,649,986,683,893,250,
510,115,943,458,916,040,637,052,197,771,156,203,644,210,544,288,617,565,059,
996,238,302,628,196,626,218,930,340,887,361,858,887,805,351,919,429,121,099,
685,826,619,290,766,116,190,151,158,762,414,391,226,112,173,619,049,549,775,
067,371,501,166,668,834,236,698,303,201,399,440,514,964,392,356,242,880,716,
003,329,345,914,714,076,119,021,185,339,421,020,670,686,177,273,395,811,274,
911,819,583,935,667,743,438,010,969,479,911,411,786,600,089,237,267,864,485,
331,179,853,095,630,512,167,907,521,253,981,699,431,464,047,868,263,947,575,
773,342,819,026,627,881,340,690,923,293,989,625,623,736,734,330,986,718,466,
693,433,439,198,014,662,655,144,340,466,726,438,521,345,401,182,419,187,894,
967,370,266,231,378,088,820,385,879,899,005,917,406,801,059,248,123,004,188,
613,670,615,688,605,115,119,521,746,154,554,455,384,737,042,876,298,463,681,
926,770,587,968,170,459,707,606,578,707,203,006,440,315,725,119,733,850,141,
041,806,786,043,384,531,788,483,029,738,579,710,439,728,859,075,128,056,346,
261,079,787,223,042,683,115,564,642,652,453,580,890,763,057,353,082,329,119,
100,650,027,439,442,555,356,510,853,126,909,581,398,397,436,524,473,985,361,
295,269,882,215,650,568,628,684,256,647,255,017,647,207,033,639,446,756,673,
528,685,016,145,792,955,492,089,216,579,553,100,762,322,438,549,841,228,307,
150,341,166,164,489,091,005,459,162,446,063,552,580,944,959,141,597,017,424,
168,639,215,758,179,121,261,177,068,221,348,653,713,352,270,709,588,993,291,
497,237,839,127,868,941,119,395,374,891,434,528,253,866,314,202,510,653,156,
384,677,285,439,736,739,085,855,549,786,543,271,309,047,844,954,569,830,931,
327,890,998,642,246,548,159,724,053,662,247,795,956,731,354,383,505,058,936,
299,636,839,170,304,211,103,993,973,159,184,380,450,809,974,953,833,016,046,
820,670,731,178,370,650,381,801,497,214,798,354,810,114,474,925,602,650,680,
696,331,038,479,167,728,685,753,962,849,425,520,112,874,690,226,811,743,757,
051,590,652,992,945,399,467,362,009,774,940,399,762,885,425,754,742,081,964,
931,161,051,418,058,503,049,354,867,428,820,239,357,864,977,417,191,365,011,
822,051,528,789,646,118,183,817,792,012,042,808,607,589,089,842,365,909,104,
624,048,700,020,849,554,662,210,849,248,485,202,165,789,692,966,066,165,185,
704,205,084,419,896,200,907,268,247,331,097,376,265,641,899,932,676,740,589,
359,925,360,214,473,175,695,609,022,298,183,710,476,536,184,300,240,568,352,
889,358,075,053,195,727,320,812,930,439,862,169,372,381,745,409,550,538,589,
318,572,330,173,780,331,550,421,511,769,255,337,874,095,583,831,874,685,909,
692,324,440,429,332,516,176,944,326,954,531,923,182,814,111,679,492,205,658,
791,068,253,312,650,274,667,102,294,386,263,389,751,701,588,833,896,416,690,
567,078,467,637,915,723,716,627,153,945,256,758,054,046,456,235,361,686,446,
654,863,957,328,558,210,809,372,542,904,752,235,317,494,685,119,196,444,738,
997,114,715,449,099,596,725,662,271,103,379,686,806,470,226,107,182,242,597,
716,569,262,522,456,315,485,471,415,147,933,189,593,783,246,027,042,519,957,
445,344,879,139,845,102,077,216,799,832,823,095,707,035,795,380,456,124,662,
967,761,149,899,499,372,694,855,099,582,418,757,170,397,382,077,562,716,851,
514,860,212,278,123,835,624,449,379,660,983,751,266,888,196,435,956,841,145,
781,300,951,856,863,684,742,920,458,782,014,983,673,989,548,347,957,739,856,
682,596,229,737,742,695,362,498,748,933,168,807,099,894,066,519,125,679,159,
545,879,104,152,874,304,223,669,782,691,933,151,902,386,174,878,069,590,171,
021,071,336,694,449,354,325,217,522,947,485,436,858,647,526,338,258,001,141,
373,538,249,243,512,431,134,573,903,623,614,703,085,141,081,311,304,817,179,
494,159,422,296,424,164,738,490,818,111,974,520,180,142,429,668,680,452,617,
544,445,130,014,376,497,964,458,617,890,479,151,458,013,563,560,369,628,700,
650,722,162,542,078,125,383,013,480,887,072,775,382,341,376,269,736,984,632,
745,812,098,149,793,335,288,177,575,223,094,788,321,914,189,018,110,340,231,
440,164,054,525,896,877,088,464,071,387,505,576,896,182,272,582,260,099,507,
638,157,840,966,483,457,329,984,812,944,091,879,201,479,662,315,100,191,725,
934,883,011,906,268,459,131,413,362,794,210,809,386,763,456,508,587,078,430,
574,030,543,936,841,881,002,101,100,319,645,607,231,664,570,487,533,899,476,
678,605,112,374,932,845,418,056,047,121,637,163,917,646,835,052,694,850,279,
670,496,075,091,415,178,543,182,024,082,015,889,218,596,159,278,161,086,898,
093,413,556,458,174,911,544,789,097,443,357,170,773,836,152,035,732,655,871,
803,516,215,114,948,311,630,955,783,352,486,481,665,254,922,520,498,476,949,
574,497,381,706,864,725,225,778,654,045,666,486,641,071,242,737,486,474,542,
616,983,542,416,102,526,991,892,748,639,401,953,620,465,623,259,607,265,033,
574,207,667,584,224,007,789,402,579,133,633,505,459,861,957,049,033,061,116,
407,909,355,326,963,177,722,543,304,260,407,481,738,215,017,929,102,812,914,
598,135,169,330,031,701,488,823,155,923,196,507,961,277,146,780,953,564,833,
663,668,293,652,130,442,708,699,082,891,853,310,175,003,625,913,061,201,850,
123,696,055,586,030,857,314,589,269,776,781,611,299,737,194,858,365,259,227,
410,280,811,850,592,619,759,030,136,124,616,842,611,261,234,297,137,298,829,
651,822,830,270,854,618,033,104,904,639,699,333,394,584,260,603,521,993,498,
913,995,349,764,370,791,071,869,381,984,848,178,471,172,743,633,285,140,218,
288,114,621,082,175,928,015,918,573,999,730,245,980,491,314,331,162,905,885,
979,994,708,563,769,988,823,307,186,271,629,085,818,630,162,135,810,708,564,
747,804,990,578,982,364,157,358,387,818,362,223,241,506,274,276,041,432,867,
232,742,844,621,372,089,231,013,085,599,570,118,170,201,095,767,470,505,230,
929,068,467,952,956,775,403,535,209,296,193,337,726,456,362,464,673,686,307,
664,182,687,707,464,695,366,118,635,710,840,102,601,830,724,877,214,410,100,
194,506,638,283,270,648,452,512,575,999,334,868,828,418,686,772,649,823,971,
654,676,892,710,792,596,536,714,063,593,488,440,523,550,908,872,716,396,638,
098,634,893,578,048,104,379,790,604,110,750,797,066,425,204,855,550,680,567,
814,974,692,241,585,119,141,562,159,582,177,193,320,062,790,692,608,952,154,
989,664,975,303,841,456,254,184,691,526,044,051,550,226,776,429,431,674,157,
177,088,701,125,651,253,270,745,981,130,799,138,632,451,812,668,491,471,758,
613,673,029,369,240,821,085,810,493,413,837,645,475,473,725,470,724,624,248,
520,274,189,901,885,576,600,028,374,502,545,178,001,411,800,221,659,879,334,
523,598,242,544,279,587,533,034,018,103,414,411,132,769,140,360,840,005,493,
670,521,855,692,509,413,113,349,340,931,994,996,272,343,858,786,290,237,846,
904,428,388,794,692,284,965,011,139,691,537,538,993,280,564,912,561,128,638,
866,450,463,067,178,804,345,591,399,995,219,055,482,643,122,667,820,412,186,
567,309,757,831,369,424,755,787,589,765,613,472,251,765,144,060,601,954,740,
197,632,877,672,207,939,614,240,313,001,391,872,304,963,736,467,934,705,861,
092,754,155,218,842,968,280,816,147,018,973,579,125,549,927,733,688,178,545,
140,181,094,314,466,232,595,861,195,113,523,613,499,670,960,446,791,294,663,
972,867,041,683,585,646,473,151,639,926,855,430,364,712,440,786,304,562,614,
386,564,609,318,854,826,188,619,258,265,459,662,862,469,163,682,330,456,590,
595,754,721,488,790,640,393,048,899,496,519,364,527,187,571,738,408,048,617,
532,027,191,953,446,170,825,120,476,988,399,783,050,233,447,042,613,807,223,
178,330,733,977,532,597,296,019,915,365,188,413,490,088,514,128,326,869,842,
414,089,356,944,142,082,163,482,246,276,067,339,325,834,307,403,670,745,233,
593,927,808,180,585,614,800,632,922,707,519,340,783,608,744,464,759,627,849,
213,128,250,945,535,709,836,727,887,434,600,579,949,610,740,428,111,820,234,
761,352,196,212,509,308,278,196,217,369,849,759,598,116,588,565,973,166,248,
434,053,520,513,037,309,085,182,912,907,690,061,672,706,519,298,725,818,504,
502,198,834,329,933,294,851,281,152,342,617,556,137,988,199,684,627,087,139,
667,504,289,332,802,045,028,814,472,996,295,504,097,883,499,369,234,999,642,
257,606,291,173,016,772,805,119,237,927,307,096,172,782,471,385,557,266,953,
767,445,564,451,111,716,123,300,477,625,751,542,600,741,862,705,204,343,433,
157,693,206,894,907,227,796,447,341,450,876,035,991,705,526,758,312,487,972,
918,943,264,624,645,249,255,849,324,462,618,460,899,682,318,100,221,156,551,
412,711,751,585,607,247,088,340,318,002,118,925,095,908,717,258,819,635,515,
696,415,179,666,444,358,201,857,668,445,015,982,344,221,245,388,811,018,793,
575,232,230,242,012,042,633,427,692,282,078,751,560,799,116,555,546,708,466,
166,191,828,305,442,095,583,283,138,711,354,617,871,500,980,855,512,638,289,
983,773,741,321,082,501,062,004,889,652,950,254,067,027,335,291,634,811,685,
745,753,021,451,981,958,564,300,642,080,777,836,492,293,503,704,192,161,144,
890,494,219,260,473,309,179,719,319,896,769,083,213,692,647,172,718,488,442,
304,883,642,534,966,655,881,617,994,965,833,687,384,455,653,651,486,031,394,
630,839,331,290,192,625,964,088,674,378,846,427,153,859,424,686,489,281,582,
245,157,915,340,835,779,399,360,512,337,139,064,038,821,324,077,210,494,254,
016,777,929,737,392,901,712,629,481,410,885,762,010,126,656,136,452,205,700,
432,427,881,234,434,404,042,149,716,641,088,001,828,004,518,167,365,688,281,
069,275,397,126,619,544,599,214,821,925,316,224,878,150,535,042,790,112,662,
142,058,779,878,410,362,706,119,178,326,003,101,818,331,880,055,667,706,721,
497,737,739,168,570,592,892,927,916,291,763,547,114,711,198,459,501,559,979,
724,288,989,153,892,417,571,728,249,728,004,909,860,615,699,388,865,131,640,
020,107,241,550,266,119,519,145,216,840,367,803,155,423,573,696,586,155,774,
832,895,070,752,823,719,895,454,867,636,802,311,799,305,009,651,003,860,409,
107,250,065,636,098,992,476,143,258,443,040,758,950,525,045,026,352,412,307,
084,599,089,978,780,174,593,766,447,650,357,362,157,831,125,664,671,212,757,
157,293,117,224,660,866,729,539,335,548,501,391,272,391,083,277,260,283,296,
022,913,220,731,205,863,850,348,407,301,679,044,972,254,809,265,796,964,029,
196,669,519,927,184,111,980,607,487,814,846,548,227,009,371,471,276,872,916,
835,317,947,650,382,012,836,090,765,814,365,285,125,616,169,694,039,398,922,
249,858,361,811,899,040,082,884,608,469,655,345,727,190,640,542,522,838,912,
490,792,101,932,435,178,905,787,868,370,533,669,009,809,877,700,593,613,103,
676,812,823,796,287,803,023,788,931,292,353,668,591,213,567,733,006,888,763,
447,917,870,896,716,997,422,002,667,360,851,913,188,904,549,209,893,288,998,
054,157,294,984,525,649,079,529,356,459,824,285,198,593,369,447,465,994,560,
648,864,023,486,983,593,099,748,141,664,217,669,413,033,117,687,941,484,730,
750,663,146,318,376,211,431,511,963,219,258,807,045,355,339,456,962,395,529,
153,809,437,627,979,149,960,255,713,706,602,341,962,469,605,553,371,200,698,
636,920,197,755,156,807,128,710,792,775,366,370,428,248,176,277,342,421,645,
906,661,750,908,407,981,472,160,352,347,541,937,424,353,931,204,808,866,276,
908,265,591,553,683,587,456,151,072,404,418,388,957,225,258,462,152,138,952,
536,605,960,664,606,073,489,057,789,173,773,493,517,731,238,950,191,849,711,
542,222,144,175,466,971,138,999,922,014,679,424,937,382,577,012,221,249,695,
280,946,476,939,458,097,155,293,648,388,620,446,605,612,811,691,660,284,264,
966,273,649,515,943,661,030,672,889,570,715,683,239,058,965,108,074,937,459,
998,148,341,409,198,080,695,116,832,928,826,114,898,365,513,335,146,435,452,
981,757,056,211,208,925,686,375,004,589,231,396,396,078,649,278,289,158,065,
482,418,688,854,378,730,989,676,942,995,600,227,042,881,447,493,352,299,396,
848,634,813,750,037,846,379,957,716,891,039,119,423,444,816,399,919,271,201,
344,434,704,521,496,233,402,410,769,321,356,215,034,760,185,098,965,140,142,
065,987,015,991,607,519,875,801,930,405,853,109,873,052,971,000,192,793,109,
714,030,991,612,535,373,489,720,312,226,857,006,187,007,680,336,475,823,439,
313,671,207,217,879,762,133,282,813,762,465,161,981,723,911,659,919,846,521,
577,120,552,353,638,052,958,151,178,076,372,566,970,510,567,826,040,324,926,
445,300,024,402,244,487,939,090,176,259,401,917,358,648,288,803,144,559,214,
631,828,850,577,583,081,300,132,547,470,088,291,090,694,177,394,752,132,710,
738,772,357,793,723,668,089,842,835,231,396,543,732,647,733,978,181,306,028,
597,063,206,146,266,158,761,128,992,049,268,834,874,840,120,006,155,654,741,
141,656,268,623,215,185,129,655,418,079,251,170,903,277,307,344,572,547,801,
466,726,364,540,577,695,746,295,313,278,159,599,947,768,056,191,176,184,397,
488,586,516,417,285,031,026,606,565,686,836,640,588,311,383,918,544,165,619,
629,022,777,431,881,746,385,673,095,174,862,735,344,757,328,126,294,638,361,
790,239,336,022,356,253,041,414,633,895,007,763,247,609,261,358,693,426,076,
034,804,705,717,845,291,387,227,407,589,865,946,719,551,174,017,182,233,047,
544,581,138,736,481,433,563,746,343,339,182,087,409,746,969,019,497,742,557,
738,006,643,373,954,400,368,200,681,216,963,881,819,071,681,142,087,176,447,
150,618,998,288,878,601,068,629,679,597,718,417,356,572,701,089,241,751,082,
424,810,281,301,494,271,816,219,520,666,785,358,602,257,455,611,580,661,003,
402,725,917,251,097,643,389,888,997,544,118,131,270,642,529,754,278,795,421,
032,262,291,046,260,367,140,381,485,416,178,240,585,442,695,018,061,019,916,
366,706,815,547,541,334,312,123,364,398,199,494,448,485,330,195,399,583,362,
910,314,984,240,089,556,349,425,271,664,534,249,459,600,939,063,849,423,537,
116,990,015,256,918,994,033,767,586,852,878,208,549,498,568,771,482,652,210,
908,634,060,770,867,803,929,240,263,762,867,280,375,909,778,406,512,778,150,
368,283,435,489,687,186,548,088,791,921,546,309,114,401,013,862,529,917,650,
921,296,379,791,006,059,698,890,090,897,980,481,785,150,885,407,644,727,397,
586,346,321,074,741,356,559,532,946,259,773,647,448,640,830,407,270,521,288,
096,442,931,967,077,618,562,605,058,947,558,455,951,646,989,476,032,049,465,
264,585,015,607,874,457,188,403,099,635,148,438,377,154,699,582,554,529,138,
507,829,869,259,357,613,053,986,949,774,672,804,986,621,101,742,683,325,427,
549,103,892,355,806,955,791,735,103,689,377,102,027,166,948,735,964,833,358,
327,125,739,565,468,951,738,184,762,616,304,033,065,335,358,672,360,593,320,
206,387,403,902,729,142,315,436,366,187,245,530,271,653,886,444,714,687,055,
554,602,612,235,594,597,951,991,389,227,042,784,449,824,136,784,296,297,620,
986,405,690,659,177,362,216,256,713,655,672,375,587,301,513,218,191,061,426,
716,039,150,194,414,104,415,526,204,805,548,864,523,294,585,282,195,210,557,
614,553,669,073,166,188,392,069,393,461,437,678,799,255,844,598,727,517,756,
058,316,833,044,730,152,608,842,242,844,757,336,716,795,274,072,929,366,793,
477,539,444,708,813,905,569,526,681,228,560,738,363,680,321,864,267,278,118,
787,346,559,822,109,962,914,578,828,792,922,347,359,948,392,256,177,834,884,
843,462,627,413,113,039,358,648,773,657,455,586,736,074,943,730,164,427,945,
328,301,861,294,110,150,034,712,536,239,358,004,278,041,137,340,465,798,304,
685,406,352,198,508,245,420,293,829,045,103,056,454,344,983,289,428,177,679,
333,773,841,864,787,399,177,000,881,305,477,691,313,381,531,120,669,046,217,
366,003,878,263,504,243,875,030,837,452,559,242,693,524,248,187,049,050,693,
751,030,352,821,826,408,024,885,040,127,697,187,128,757,661,397,217,243,692,
286,371,298,515,967,799,760,667,591,146,605,513,655,041,023,841,381,818,864,
162,289,358,730,425,494,014,065,561,673,200,667,618,414,881,866,601,629,870,
940,056,300,046,705,224,988,552,930,243,983,874,834,560,041,816,482,989,777,
369,303,940,924,072,279,065,270,416,458,935,523,617,151,240,114,327,720,006,
077,818,014,258,223,853,841,015,593,236,161,625,506,509,418,566,621,261,360,
332,738,418,980,075,423,567,942,401,282,817,817,394,651,908,998,987,281,052,
084,403,901,802,939,150,726,308,611,888,211,476,825,958,561,352,906,774,202,
310,484,332,738,545,535,648,316,108,883,233,164,420,688,655,448,515,888,993,
583,717,470,738,550,599,196,174,838,314,660,942,154,901,434,984,298,744,489,
682,047,158,327,031,567,873,939,063,268,847,893,026,914,160,280,479,704,626,
114,566,797,072,076,614,674,483,266,617,282,825,119,566,021,718,360,416,340,
232,278,772,609,491,458,024,667,218,033,915,254,010,029,523,948,234,853,471,
254,405,768,455,350,506,700,736,064,650,550,031,178,688,706,197,117,118,278,
542,185,420,010,660,275,100,049,723,379,235,559,501,790,286,839,132,010,775,
011,996,906,748,916,114,242,882,936,447,930,775,189,382,844,060,710,921,868,
808,202,310,234,968,212,513,289,141,504,622,498,476,828,151,675,679,205,483,
601,192,019,644,635,411,519,030,650,488,715,057,106,680,567,944,315,272,331,
022,270,849,679,576,798,859,916,170,939,448,001,829,810,725,834,054,606,554,
299,385,942,085,018,747,114,149,974,494,592,275,166,208,108,432,392,479,564,
216,994,090,773,700,120,794,323,180,625,580,800,056,101,027,595,835,676,546,
389,817,000,443,586,311,148,203,330,135,226,152,446,045,431,188,323,685,309,
709,240,819,582,772,915,839,629,602,323,494,134,651,407,728,995,213,071,153,
416,885,546,182,210,088,259,846,707,432,079,612,947,705,169,795,857,962,183,
078,084,103,876,264,108,670,606,135,868,830,774,880,294,129,677,012,793,161,
871,714,327,861,718,270,030,142,787,796,416,366,875,019,966,165,507,425,066,
380,654,211,497,257,832,602,058,595,858,829,148,516,937,482,496,074,465,480,
565,554,868,486,094,041,682,782,243,108,870,183,513,176,578,098,220,022,643,
853,228,481,018,578,845,809,583,284,767,482,740,033,897,352,306,707,851,507,
901,899,878,162,242,714,116,081,161,071,122,268,864,690,529,696,928,654,202,
541,451,884,514,779,589,727,491,918,036,281,604,245,432,536,750,223,971,261,
758,960,489,680,407,152,776,010,225,578,458,313,551,723,825,014,557,757,210,
616,385,748,371,952,670,263,649,700,544,980,192,097,730,161,565,881,535,128,
917,227,250,619,810,582,874,808,923,149,463,273,455,712,507,075,300,158,436,
474,656,942,358,081,636,092,420,035,313,322,622,559,356,963,198,996,079,783,
078,892,079,009,780,795,996,913,475,075,630,919,021,216,596,050,475,228,332,
937,128,903,010,014,417,904,077,232,764,553,460,377,010,312,334,751,349,255,
187,339,575,042,729,316,494,140,375,753,127,364,798,586,444,896,260,247,358,
141,933,947,254,796,688,321,849,116,742,119,038,541,177,199,452,140,895,310,
279,702,813,380,820,901,956,967,648,311,701,810,466,108,518,213,050,396,754,
633,027,201,790,563,184,461,175,527,953,539,499,779,019,786,938,385,479,578,
012,964,459,734,378,081,158,254,070,810,420,415,690,540,196,271,677,982,415,
076,419,143,706,943,524,190,262,692,237,619,893,561,883,145,171,782,139,778,
185,591,932,298,049,639,469,709,107,393,895,398,166,050,482,067,097,176,831,
413,460,421,567,330,080,592,958,335,896,512,253,554,883,423,897,772,027,528,
414,534,820,234,786,093,679,959,451,413,360,437,508,614,182,766,922,271,055,
350,813,469,517,396,264,473,248,408,045,377,641,126,063,249,746,044,877,251,
391,537,628,107,795,858,874,199,264,336,094,855,372,241,007,238,261,925,464,
122,620,395,439,935,701,684,674,568,069,011,554,008,139,541,562,093,418,442,
923,469,202,557,353,178,105,493,746,740,090,818,196,948,465,950,400,457,162,
067,089,271,106,524,893,304,588,739,102,772,839,730,051,605,871,241,878,563,
810,261,222,977,246,835,288,521,488,642,087,111,607,001,797,689,942,418,273,
082,236,362,055,886,442,196,789,702,206,762,504,511,430,464,364,838,049,593,
117,378,750,728,890,557,537,139,177,388,559,902,718,605,636,111,961,703,491,
625,790,157,708,517,590,295,026,606,592,934,897,180,224,306,950,252,322,501,
630,278,511,959,360,796,706,238,463,730,794,609,932,098,330,487,128,123,382,
069,702,037,536,160,748,507,898,913,649,035,348,895,600,540,149,302,442,304,
858,346,349,675,996,176,229,557,881,385,185,361,971,847,925,729,813,141,527,
182,056,361,227,955,844,341,283,103,832,748,067,762,166,867,531,523,847,937,
671,955,517,838,483,526,344,402,613,617,170,329,362,011,001,433,905,960,502,
356,734,821,018,914,278,436,341,558,105,686,635,474,815,891,951,021,973,721,
968,524,613,453,308,681,726,347,114,137,254,537,230,515,251,041,130,125,047,
746,227,143,019,448,819,757,738,770,532,167,315,740,752,847,071,651,907,862,
061,374,344,593,313,567,453,747,995,282,536,730,493,407,983,399,628,740,072,
974,909,584,135,451,635,902,482,651,249,510,784,204,110,715,797,944,158,432,
898,639,425,467,547,496,784,127,219,704,936,134,186,195,930,851,082,486,097,
776,013,355,860,743,561,406,669,259,910,124,982,945,355,499,326,364,501,710,
576,506,537,963,776,482,208,085,156,204,890,100,307,255,075,565,071,019,351,
701,996,750,920,014,575,785,615,540,991,608,184,006,846,264,359,470,784,155,
168,085,841,924,231,441,122,202,242,089,389,142,468,087,460,431,578,693,778,
281,163,255,050,555,817,188,600,372,686,208,021,403,764,088,656,232,582,885,
147,050,387,253,191,485,321,050,803,444,798,427,581,635,419,611,516,894,560,
734,764,400,522,019,488,678,761,306,588,961,546,051,325,089,837,154,540,126,
256,775,951,869,319,998,101,493,419,349,081,123,655,452,705,708,685,107,263,
530,829,155,712,829,527,784,545,565,263,965,553,510,825,737,713,908,857,908,
353,211,215,582,797,641,124,794,532,785,699,239,763,499,148,227,980,313,903,
432,957,675,472,551,761,613,538,561,459,049,996,405,685,897,403,701,955,815,
793,956,323,229,965,129,238,622,083,081,053,783,461,904,246,537,880,719,419,
107,464,796,412,793,316,729,337,410,558,941,569,367,692,694,765,637,958,367,
638,093,741,867,648,871,890,758,376,271,946,631,498,749,687,345,166,147,462,
466,568,634,427,867,301,354,803,422,124,250,485,719,598,763,320,400,835,463,
485,150,741,159,271,406,173,151,311,156,173,499,506,566,065,173,497,554,846,
016,158,643,614,322,899,045,158,095,092,022,028,706,137,075,209,855,999,065,
455,444,235,478,333,415,020,012,498,040,473,513,158,094,083,625,582,107,410,
468,453,736,554,675,291,982,631,292,108,405,997,511,083,982,524,690,105,180,
387,327,139,674,190,897,197,744,348,578,274,104,857,223,489,403,625,869,196,
310,193,463,745,295,045,396,968,735,029,759,424,199,380,505,272,703,953,686,
927,536,691,930,809,517,088,265,901,466,052,154,169,100,092,141,356,310,066,
430,082,903,164,275,346,686,793,537,618,895,105,467,339,105,267,031,919,787,
174,440,386,623,094,702,638,231,094,267,649,977,124,442,311,270,555,291,659,
225,052,224,161,204,625,728,785,368,970,333,562,076,771,273,996,287,360,404,
596,426,668,928,625,960,937,367,706,360,054,167,349,368,425,341,370,245,539,
308,719,288,755,558,185,812,441,987,509,855,717,535,079,090,424,944,409,610,
316,496,210,306,645,753,954,282,984,582,813,705,295,388,312,391,098,517,548,
910,069,690,678,760,750,504,891,736,827,755,414,310,811,627,489,636,200,744,
487,146,824,409,062,316,501,800,326,410,733,446,938,183,685,301,584,654,630,
385,220,525,220,636,027,021,913,323,298,305,008,505,484,512,511,974,398,036,
923,244,889,359,947,681,165,232,837,713,041,959,967,324,744,206,518,827,369,
622,596,713,997,295,233,581,211,352,922,283,518,666,324,985,933,947,336,024,
263,333,084,013,054,886,251,866,847,671,198,203,659,725,038,949,868,019,846,
790,047,960,224,881,435,824,013,711,960,969,611,937,002,330,315,561,583,408,
245,727,308,345,456,284,624,493,293,199,873,188,750,697,908,771,080,023,657,
930,475,901,307,042,833,686,385,325,462,007,407,568,182,333,360,868,103,561,
154,698,415,814,644,847,515,562,068,075,296,262,009,377,019,434,510,362,740,
941,862,053,782,719,725,237,940,382,845,078,349,481,318,722,704,196,450,668,
959,861,218,306,406,433,565,943,824,892,042,978,543,925,053,180,612,480,525,
839,499,648,464,830,924,403,128,806,829,259,042,938,996,810,571,362,844,798,
467,980,167,563,125,583,323,738,243,432,686,467,524,515,425,556,514,810,656,
231,047,290,213,415,834,533,172,514,602,434,551,654,700,589,200,148,332,779,
461,218,284,123,987,867,424,964,368,366,948,044,547,183,037,793,548,747,400,
165,637,821,055,730,535,206,987,996,263,258,302,991,135,373,065,451,075,539,
017,973,107,997,697,498,729,061,268,996,204,682,770,360,480,270,851,283,776,
141,698,282,806,597,208,478,521,793,463,136,023,684,195,686,014,644,531,719,
214,734,199,479,384,365,369,316,187,948,708,638,794,022,830,981,554,553,247,
549,257,958,825,830,559,257,111,709,883,401,709,687,434,459,502,869,450,236,
895,036,738,938,590,488,078,892,898,257,542,182,814,536,403,721,638,291,644,
066,386,022,349,579,919,889,175,403,973,550,553,352,794,020,067,532,259,989,
017,335,809,351,038,598,917,596,522,792,761,652,231,675,219,979,938,427,404,
586,601,530,123,791,946,096,648,825,438,717,145,198,647,734,888,999,212,106,
728,399,544,165,880,199,805,795,330,589,807,674,393,547,467,393,103,558,279,
190,952,739,591,728,545,573,476,553,759,225,270,249,669,892,320,498,407,225,
428,053,529,398,063,202,139,183,595,025,967,184,610,233,501,222,316,120,992,
348,755,173,444,387,195,434,692,682,950,912,863,665,777,672,180,575,483,612,
978,697,866,735,874,058,075,833,909,496,620,733,581,388,806,800,129,173,852,
193,742,544,195,366,904,354,453,344,036,022,701,157,844,267,621,918,920,289,
919,837,720,092,946,322,036,111,322,351,181,838,676,864,860,835,610,082,996,
589,650,514,575,947,652,474,429,733,460,928,479,025,309,734,427,347,536,189,
579,485,389,595,175,269,368,978,815,186,370,801,483,253,879,610,762,652,314,
823,793,259,026,497,703,500,165,518,073,349,022,687,578,772,369,948,620,813,
613,110,523,085,286,522,476,467,780,176,989,997,105,438,287,648,014,420,280,
694,695,394,803,953,973,963,107,273,896,497,097,637,004,470,849,147,977,339,
151,611,971,065,843,038,564,509,024,880,913,616,716,860,692,462,345,241,731,
692,182,306,096,468,475,720,124,179,202,023,879,853,467,484,304,522,236,739,
246,363,891,557,432,408,611,513,647,520,116,313,023,768,878,111,678,541,636,
095,066,526,606,399,461,885,885,915,837,901,089,393,892,087,397,421,490,348,
976,700,986,718,946,553,976,853,655,161,083,479,575,042,300,753,037,631,366,
363,041,857,870,829,781,689,572,777,868,868,649,205,564,601,165,162,579,185,
012,983,130,105,379,007,434,555,692,963,418,392,777,354,445,738,567,236,428,
469,565,324,830,585,059,834,453,798,013,309,777,758,103,929,511,165,158,903,
230,728,170,298,363,585,466,724,243,375,256,922,899,687,388,516,978,158,021,
705,974,214,656,694,836,158,814,108,398,182,287,517,014,462,881,478,107,987,
145,195,137,520,973,534,783,126,778,664,995,507,844,798,667,621,366,640,691,
501,671,405,541,129,611,129,957,406,932,136,108,704,650,673,458,374,095,050,
052,571,123,108,259,867,125,078,525,991,806,262,100,453,695,875,217,008,045,
578,603,437,090,357,708,203,366,927,291,083,383,790,283,541,591,220,417,563,
196,959,723,679,946,047,361,437,775,947,007,901,942,894,383,327,700,956,149,
899,505,860,882,193,733,491,936,036,550,493,664,251,967,739,728,794,936,031,
591,272,475,737,682,289,181,604,130,096,064,890,297,112,708,866,127,611,713,
398,573,210,067,750,711,553,076,409,106,013,058,016,977,078,591,779,175,310,
081,538,373,922,990,405,233,494,345,617,859,404,093,461,175,314,491,756,715,
230,496,309,915,790,365,843,982,633,703,581,263,354,655,859,721,614,413,788,
725,379,279,592,522,118,413,971,659,753,703,127,777,266,582,988,303,295,325,
966,953,041,141,471,559,392,348,091,638,380,314,312,859,914,542,665,546,542,
919,914,588,810,019,449,297,301,747,176,616,292,316,660,799,199,873,819,089,
761,369,559,265,271,027,998,895,091,573,976,227,042,833,460,081,568,971,947,
134,668,493,852,875,142,539,275,138,865,574,494,601,335,856,432,326,489,509,
278,852,877,335,758,874,447,770,836,525,292,423,510,203,315,117,031,920,185,
242,573,991,441,964,173,895,086,485,660,203,975,504,146,623,493,143,478,192,
986,933,106,431,328,247,835,019,507,696,926,066,476,276,137,429,120,730,694,
872,150,440,319,163,107,233,720,615,145,869,328,018,403,585,916,654,082,969,
966,482,498,718,296,484,980,729,307,176,381,216,591,067,247,745,963,040,550,
356,059,157,989,879,856,687,081,600,492,376,665,345,014,798,176,888,376,292,
034,749,155,795,507,687,294,686,844,220,002,245,700,161,423,721,130,499,635,
748,032,512,421,739,165,220,006,379,145,280,907,116,242,952,486,777,283,674,
808,895,191,115,461,389,784,559,557,924,419,808,792,775,814,092,219,688,594,
160,498,896,037,751,166,885,726,181,465,759,269,978,019,340,084,480,678,729,
596,659,329,764,734,376,126,322,157,647,280,173,387,864,191,610,804,069,380,
831,701,064,501,159,868,244,117,807,983,733,837,663,807,335,714,194,928,372,
196,046,053,724,264,291,643,104,996,250,337,302,359,924,140,138,247,728,704,
552,781,513,823,204,042,082,800,502,991,980,853,537,574,063,206,513,854,065,
466,869,005,594,068,798,550,988,304,136,993,198,048,819,259,983,494,084,733,
312,191,471,424,705,793,188,480,685,239,673,928,652,338,299,014,576,106,582,
406,702,850,038,571,023,174,169,155,299,288,644,256,130,306,546,999,600,734,
293,420,535,793,823,032,229,692,201,940,195,365,116,724,325,735,378,344,278,
902,054,771,292,471,376,341,180,057,575,398,220,071,941,014,750,730,047,211,
922,559,323,182,666,587,603,910,812,983,610,283,019,572,963,009,916,953,131,
801,269,793,650,550,281,790,050,429,872,631,660,800,932,437,153,124,611,492,
705,356,436,543,632,385,518,555,494,508,197,753,408,343,429,852,072,347,193,
625,697,639,561,837,086,868,178,929,082,965,965,357,539,532,981,039,752,038,
008,272,163,298,926,291,527,814,818,225,519,874,550,893,273,188,653,448,504,
244,827,697,073,735,028,974,535,756,922,602,590,714,049,833,905,305,259,198,
268,232,472,324,509,722,174,477,618,917,845,541,149,318,216,875,497,075,382,
521,411,087,982,373,256,569,215,862,718,275,665,489,620,286,856,808,824,021,
491,882,453,984,794,482,233,248,958,806,677,788,915,432,452,585,072,062,238,
037,967,960,217,235,320,093,237,028,412,470,184,180,619,143,486,228,768,557,
469,667,249,881,515,733,205,417,239,944,955,431,096,236,096,476,014,134,901,
084,554,142,547,024,319,618,557,762,775,088,543,653,438,251,407,122,639,720,
824,592,510,926,102,853,909,158,345,297,427,753,210,385,653,494,655,213,482,
718,899,696,007,366,139,644,321,973,092,006,790,884,247,031,623,461,121,222,
746,077,912,901,153,600,331,732,895,756,272,823,841,320,802,752,324,281,012,
650,875,764,344,454,377,432,788,573,094,078,800,169,821,647,720,732,982,351,
996,675,591,628,746,044,000,462,497,939,910,476,644,672,717,461,670,416,255,
348,069,864,670,282,186,329,598,880,326,307,960,018,335,860,366,177,389,031,
944,095,763,792,938,443,109,069,635,134,311,452,723,071,879,707,692,174,676,
955,166,674,486,139,800,079,701,640,637,603,779,505,969,131,984,757,706,120,
994,941,976,859,659,048,094,353,942,282,240,504,437,508,202,706,413,927,334,
684,144,993,185,657,280,886,192,226,425,755,833,044,656,587,090,565,306,576,
606,944,977,777,112,526,968,628,789,521,432,769,358,218,185,736,200,498,879,
477,993,459,617,322,677,209,830,008,236,313,962,942,731,504,781,689,185,223,
941,821,715,832,766,794,184,276,438,905,837,325,000,138,672,574,799,184,152,
600,727,498,404,212,186,146,907,794,802,496,336,840,740,543,792,711,841,869,
579,869,897,401,521,776,973,868,269,586,890,611,681,556,759,334,817,733,138,
127,366,188,537,602,183,303,508,794,430,407,426,911,220,603,793,300,298,598,
249,652,761,495,817,979,198,316,472,182,072,917,620,580,866,898,959,549,595,
431,230,115,121,809,048,915,262,540,806,894,111,313,823,902,710,762,466,357,
462,441,916,079,310,073,401,241,473,523,337,054,274,752,590,850,925,324,177,
811,771,331,597,641,098,558,781,363,988,743,271,207,760,192,825,791,735,496,
407,163,667,504,951,239,135,213,273,270,693,526,202,543,620,537,273,270,484,
015,854,921,383,996,604,516,780,690,529,621,988,718,483,896,031,113,820,290,
328,511,094,861,548,739,357,679,471,931,474,170,065,738,872,207,859,035,509,
242,821,633,151,949,318,744,481,294,689,966,037,589,982,557,078,322,024,739,
966,574,044,448,656,057,133,827,374,936,588,925,506,070,897,203,345,487,295,
176,314,681,513,497,592,946,141,548,339,272,203,022,576,260,620,382,253,903,
551,671,767,723,423,400,882,134,775,688,129,783,494,738,596,032,158,847,282,
450,389,756,023,904,209,822,949,402,497,098,430,768,745,716,822,955,813,933,
955,756,238,580,538,830,475,263,284,903,359,295,620,657,397,937,851,532,667,
410,100,048,433,384,853,799,742,762,596,780,383,922,382,191,613,748,722,203,
962,036,648,595,416,559,434,330,274,803,976,025,728,468,086,980,655,980,374,
599,358,279,865,499,103,052,650,044,664,608,039,183,851,649,847,046,892,296,
314,363,206,324,862,524,040,192,294,099,967,814,526,113,648,626,417,287,850,
438,683,034,349,699,352,235,546,033,124,258,399,208,570,243,002,109,034,022,
326,379,020,605,280,220,059,924,033,382,282,775,273,472,332,855,548,657,634,
711,674,385,779,215,364,962,141,081,878,233,880,886,711,548,568,739,424,481,
480,823,036,561,535,054,170,941,739,010,360,285,161,447,338,750,708,563,730,
662,883,892,764,184,304,740,711,577,922,881,935,896,031,957,022,271,546,280,
309,903,046,785,147,745,929,407,203,424,787,190,205,039,505,688,463,400,128,
189,317,765,949,017,197,757,405,660,564,259,777,337,085,828,983,682,571,162,
486,239,995,267,346,376,617,982,961,688,545,208,544,540,166,389,377,640,327,
132,577,714,414,981,778,478,098,404,580,318,073,545,842,873,466,413,092,810,
121,989,225,865,854,891,793,646,532,705,603,167,763,308,732,845,446,339,629,
111,465,902,855,669,107,779,116,548,107,872,792,784,792,894,945,461,499,158,
214,326,554,947,848,351,538,330,947,437,483,941,046,678,820,945,253,831,905,
920,065,213,745,330,319,765,890,333,777,681,771,914,893,395,555,611,393,836,
516,890,993,548,335,037,197,861,467,187,570,713,631,558,207,480,759,516,882,
705,545,217,467,792,699,545,664,128,376,633,617,839,506,839,418,703,799,382,
134,167,167,182,544,710,678,835,365,438,875,440,767,185,155,794,615,247,393,
739,363,189,344,286,360,522,793,322,036,303,936,903,560,712,165,139,813,795,
106,505,300,186,398,770,819,722,115,314,077,749,161,240,390,031,393,046,390,
842,187,521,048,720,841,954,948,019,495,420,723,158,007,641,849,368,053,830,
752,888,941,025,276,943,972,790,013,014,757,557,407,451,119,695,472,527,618,
111,421,573,478,653,829,538,676,979,339,317,099,103,578,739,049,528,727,198,
573,679,167,269,568,745,138,224,888,786,702,675,969,650,094,790,357,755,545,
551,105,122,922,844,587,040,221,801,327,490,597,620,237,834,787,178,899,465,
904,527,242,864,096,729,847,663,764,274,518,751,453,464,786,660,671,114,608,
602,296,507,600,412,453,750,234,939,349,767,956,835,418,926,301,632,439,920,
727,883,183,915,207,368,217,796,585,834,555,880,550,824,020,637,352,398,852,
343,538,937,407,539,054,466,755,770,233,096,282,384,856,659,240,711,964,275,
001,792,238,221,416,099,307,083,031,468,597,961,091,160,099,323,754,895,246,
633,278,418,911,553,954,048,814,105,398,465,218,456,403,847,264,125,772,109,
403,202,329,781,149,456,966,242,900,852,379,005,934,058,656,772,818,169,038,
123,629,352,182,914,943,615,507,748,182,028,849,402,574,661,661,033,787,098,
065,723,335,205,220,122,029,575,472,973,532,774,098,308,842,175,737,823,114,
316,713,943,811,571,315,197,977,941,830,876,396,642,709,364,114,557,951,776,
731,094,396,405,195,346,905,826,522,097,961,672,263,258,896,095,434,547,221,
674,426,195,477,190,114,979,290,985,904,193,891,886,172,093,688,113,246,092,
654,127,636,918,771,332,360,717,525,184,160,181,190,610,957,138,565,180,281,
210,781,806,917,978,812,548,404,925,516,581,433,807,827,491,225,640,216,251,
746,721,324,682,983,071,856,985,495,307,146,074,377,539,561,766,155,888,552,
013,486,683,357,857,390,202,935,174,531,189,719,412,522,073,924,214,647,590,
861,699,394,917,852,943,522,893,296,920,515,901,812,113,016,906,667,070,221,
414,526,794,040,825,484,177,988,570,938,828,371,292,548,823,952,483,594,686,
636,907,373,336,013,369,833,818,583,484,719,935,081,793,805,210,355,877,928,
248,032,932,359,070,518,642,178,686,119,415,220,938,357,925,782,761,728,841,
484,609,397,086,160,425,403,956,640,755,791,595,814,324,976,349,519,415,289,
726,374,736,286,197,411,919,809,793,615,103,231,640,880,365,009,351,806,517,
878,487,586,983,746,555,675,521,376,937,689,228,190,873,924,528,716,443,231,
409,555,855,778,973,465,562,595,368,162,890,112,201,916,166,181,969,389,685,
695,094,395,281,248,381,036,448,631,431,700,312,552,472,334,576,533,187,424,
126,036,108,083,810,948,051,946,304,429,222,353,384,790,005,636,020,651,865,
800,551,460,125,275,242,491,376,573,164,504,242,992,068,663,600,235,038,531,
640,163,276,106,846,644,134,834,733,979,923,418,013,404,430,324,504,011,248,
046,352,284,729,193,168,155,522,782,124,058,911,113,931,566,198,411,965,949,
380,511,128,372,446,617,842,416,533,594,699,485,046,167,986,674,908,278,388,
419,205,066,175,580,026,853,714,019,197,046,399,960,886,569,309,434,507,530,
564,937,507,960,489,041,625,602,757,818,387,931,120,221,142,017,267,130,163,
016,470,141,167,724,470,239,714,758,731,239,250,460,723,818,916,954,095,727,
175,093,322,577,122,494,447,013,887,369,000,970,019,085,099,185,203,572,062,
368,154,379,112,346,324,698,503,664,804,605,111,046,182,291,731,599,864,885,
362,736,281,415,865,714,032,092,206,230,194,424,455,703,693,812,309,555,999,
868,218,223,797,924,193,562,602,615,927,010,741,186,171,987,842,831,921,654,
243,153,342,451,922,760,443,880,656,632,164,035,409,806,745,768,872,200,115,
114,002,570,203,705,582,793,290,193,344,305,678,109,055,986,772,311,938,379,
301,048,388,207,690,188,391,496,113,616,114,333,641,736,732,587,389,734,281,
784,740,830,610,982,380,614,108,656,376,561,268,812,934,109,121,360,001,239,
509,836,173,980,873,873,560,445,776,368,984,955,334,550,492,243,765,056,238,
190,482,934,185,272,061,552,200,625,424,865,501,693,779,710,369,767,409,669,
806,069,481,110,261,488,641,893,649,481,114,632,098,267,508,926,788,866,501,
010,752,990,038,731,923,316,402,848,301,862,730,761,906,672,014,267,575,871,
271,581,517,354,805,896,793,161,911,945,272,933,324,572,870,489,938,887,371,
487,066,938,407,537,316,130,176,209,819,880,861,605,004,253,562,614,179,417,
253,791,739,307,396,051,707,147,163,830,190,725,112,671,334,283,583,924,498,
301,763,353,175,217,172,494,274,329,943,655,358,613,521,708,145,864,974,366,
827,726,224,586,181,774,831,483,004,898,309,594,085,767,392,820,465,242,036,
482,762,713,650,086,841,358,542,606,745,979,618,162,496,485,163,204,989,465,
794,224,248,537,953,516,717,872,759,507,543,071,485,689,243,328,395,281,633,
287,410,249,222,255,490,326,493,225,520,338,975,805,237,937,172,694,076,223,
273,205,962,723,766,520,444,806,576,691,570,479,851,632,147,268,190,552,288,
449,761,722,158,346,319,819,456,708,939,596,079,734,483,696,122,968,392,101,
994,974,264,254,591,119,425,052,275,382,213,240,694,097,864,084,869,195,377,
184,190,428,044,487,623,058,192,339,654,300,727,319,727,070,964,659,166,801,
225,306,764,937,948,371,026,977,031,767,274,028,693,467,219,418,344,670,355,
791,830,194,492,092,373,229,013,423,515,825,544,181,852,453,436,744,742,503,
911,503,622,045,543,223,897,112,066,724,899,836,447,528,097,199,604,400,374,
400,470,421,380,333,890,722,212,462,868,303,137,147,483,277,380,304,742,798,
853,084,920,669,584,362,345,123,692,205,897,527,776,908,524,970,367,428,505,
642,358,431,306,065,702,755,699,144,099,827,107,404,743,308,532,783,633,178,
655,307,620,019,878,546,245,174,059,111,274,418,074,936,410,809,959,683,598,
664,156,421,124,663,214,804,789,009,295,569,401,895,461,456,398,126,045,392,
655,895,159,075,787,126,748,400,330,985,205,206,909,028,953,498,053,247,687,
555,043,265,407,620,664,447,299,779,813,620,036,852,061,314,814,160,020,447,
006,161,081,349,486,821,948,244,356,926,435,816,662,666,374,134,203,421,308,
807,984,102,990,880,326,473,412,775,975,472,862,037,670,734,006,640,086,616,
439,998,850,235,237,487,603,193,389,860,503,013,308,338,921,264,019,392,913,
439,369,938,630,841,384,833,476,721,053,285,720,140,283,055,687,124,241,305,
450,388,809,328,052,238,924,224,235,431,899,586,930,205,264,458,266,696,163,
123,114,412,935,421,001,092,869,014,330,741,740,406,788,261,139,205,023,937,
658,068,601,621,898,124,654,260,649,427,464,220,584,795,013,305,554,692,807,
705,496,204,246,780,717,380,350,381,581,966,858,725,401,887,523,132,604,124,
805,209,480,088,632,678,199,187,762,034,131,224,419,806,244,677,435,881,445,
621,536,151,381,723,650,987,566,392,981,780,707,524,503,100,328,402,714,790,
927,493,424,230,598,248,358,861,373,912,920,993,384,457,552,499,627,451,364,
171,143,228,384,267,548,990,123,032,849,489,967,519,632,345,370,249,297,988,
834,837,637,361,289,221,087,539,468,238,251,549,390,209,426,329,154,293,091,
472,006,216,094,168,346,842,369,853,256,150,913,293,343,852,072,929,742,783,
259,623,859,759,194,235,576,943,894,453,357,830,827,115,600,666,093,257,092,
780,582,953,656,809,030,687,978,221,873,001,870,399,459,743,850,406,965,353,
720,842,393,112,922,787,018,218,770,558,318,533,865,868,609,844,839,269,433,
948,710,477,999,468,870,668,139,992,500,048,327,508,679,234,832,674,583,440,
513,755,016,569,691,554,634,174,804,722,666,014,008,542,903,209,744,786,041,
019,063,819,455,162,449,688,231,180,955,512,135,062,323,058,845,295,165,193,
823,131,478,150,133,552,445,144,535,831,355,202,537,501,065,425,258,022,057,
226,894,009,151,270,772,731,023,292,599,892,019,288,309,007,878,785,255,443,
707,365,717,108,332,241,488,589,374,943,096,306,398,541,393,056,193,838,229,
226,826,073,280,729,905,966,278,073,867,976,183,659,653,488,933,476,452,016,
886,313,219,092,656,035,405,930,671,520,143,035,542,143,497,053,547,898,105,
415,774,258,347,971,842,730,488,439,692,715,337,420,289,223,222,669,363,165,
120,561,484,722,808,120,660,197,490,612,429,058,512,231,625,738,658,086,312,
936,196,340,399,665,800,368,846,781,114,977,551,642,031,094,239,374,949,171,
910,062,458,544,963,752,593,221,259,525,211,850,281,365,192,630,627,323,306,
927,570,195,177,236,916,452,945,132,840,288,802,697,839,041,020,314,723,501,
622,673,624,886,628,522,214,559,254,631,192,656,730,466,603,524,882,053,895,
439,249,477,108,679,478,053,610,426,103,993,286,895,884,651,100,500,771,154,
471,156,247,957,449,915,454,427,989,803,713,657,335,101,664,276,052,688,124,
073,303,380,356,320,960,110,599,980,283,869,310,503,047,777,943,486,741,266,
460,562,740,092,855,208,137,230,541,977,261,546,615,966,277,692,639,499,976,
770,129,893,493,819,018,961,676,323,657,509,985,455,194,502,533,365,482,487,
740,650,255,927,176,231,533,400,842,369,623,567,166,202,006,317,576,327,252,
611,713,121,916,637,401,897,187,424,507,742,626,584,087,342,213,360,404,854,
277,513,925,807,608,471,913,787,157,247,471,344,275,270,542,658,952,968,495,
632,411,455,593,948,016,884,821,361,433,644,963,771,301,556,135,614,378,600,
846,352,382,587,012,624,436,610,820,891,725,441,755,293,660,566,811,516,714,
825,942,419,378,907,790,284,754,101,834,685,528,260,895,660,842,602,373,132,
556,649,975,340,267,735,634,203,297,960,725,488,804,579,141,524,424,755,922,
450,995,748,334,429,347,419,985,049,054,377,663,252,701,750,461,837,005,915,
903,056,420,647,090,607,455,077,553,867,161,381,775,197,535,906,086,460,285,
475,920,313,003,239,909,477,008,962,558,023,659,676,422,883,349,782,832,900,
830,710,277,605,305,521,395,366,241,017,784,333,252,494,835,159,857,156,752,
344,735,395,661,227,617,471,853,812,146,951,744,357,004,080,932,040,487,569,
070,176,580,541,770,473,998,747,527,643,191,892,860,279,287,504,167,560,912,
382,156,870,809,283,621,612,063,116,307,539,769,532,892,997,715,674,478,002,
540,667,483,590,014,274,032,448,672,156,853,228,934,398,853,715,689,985,089,
879,434,156,735,823,400,237,670,950,565,946,237,091,804,583,618,778,322,170,
896,043,261,303,202,397,131,699,254,329,213,334,567,331,059,793,332,494,481,
715,845,004,709,473,468,356,634,738,361,473,982,327,901,615,237,457,900,372,
482,944,279,965,623,866,588,075,588,421,966,503,494,931,717,392,322,105,442,
816,542,505,537,918,182,645,986,872,524,125,397,300,396,750,005,903,096,510,
776,536,820,182,835,380,988,489,680,299,152,473,381,369,743,960,114,511,301,
430,142,670,404,182,294,261,326,246,307,735,015,584,427,188,218,824,905,867,
322,938,834,350,620,355,412,663,672,489,525,240,031,468,299,834,106,314,468,
597,049,153,555,783,822,088,797,985,407,422,890,980,707,320,459,784,909,463,
323,366,008,161,832,822,329,164,320,743,675,034,799,929,643,305,061,704,882,
268,512,857,259,567,919,425,890,984,273,475,839,816,535,089,881,991,142,597,
039,125,377,185,959,383,741,248,743,313,279,757,829,362,709,877,448,418,382,
808,359,602,933,076,708,587,916,049,443,965,644,517,616,170,395,887,321,827,
042,590,253,653,905,476,986,965,084,590,702,891,723,656,343,607,311,812,238,
579,527,682,986,485,549,323,965,059,423,876,852,397,674,055,517,508,341,274,
021,247,037,409,415,139,761,107,165,284,134,599,812,117,544,627,276,115,525,
912,221,002,143,499,157,052,390,225,050,713,036,062,415,996,148,708,867,715,
034,208,805,685,020,409,325,358,166,641,821,140,767,190,474,731,652,874,750,
576,314,313,572,590,727,364,508,398,287,914,839,549,591,563,008,858,825,099,
947,693,764,809,360,254,051,075,575,901,460,286,009,079,060,566,341,982,070,
793,827,813,140,094,938,391,988,179,929,505,408,609,889,716,850,548,990,163,
251,529,652,120,605,231,054,648,024,459,344,508,590,551,884,036,138,524,122,
570,933,017,058,511,718,871,547,058,617,475,736,512,831,652,312,525,641,768,
276,715,624,468,945,007,745,256,657,414,550,682,307,186,699,642,866,159,905,
957,796,539,600,125,870,419,244,118,833,734,883,200,120,822,000,598,070,216,
426,397,541,982,618,043,148,084,124,469,033,718,630,755,541,448,114,183,727,
215,277,084,131,190,235,977,604,959,369,122,888,464,586,969,264,761,249,368,
069,890,882,702,004,217,124,443,071,595,239,737,175,621,737,982,261,631,058,
902,984,744,149,365,380,658,222,337,440,932,846,205,443,597,167,261,599,969,
512,199,074,830,842,928,396,385,997,781,139,895,778,560,497,785,271,250,267,
725,896,098,481,666,243,829,432,014,954,859,638,961,561,788,921,759,281,847,
159,229,238,867,763,166,986,182,196,359,518,965,869,994,693,017,489,569,969,
686,730,970,307,842,365,492,240,893,981,372,732,832,394,330,785,740,256,123,
457,691,882,226,790,539,068,001,792,930,742,457,943,055,820,379,737,147,217,
691,872,216,367,237,776,604,438,592,202,138,829,089,971,355,856,613,966,532,
004,187,254,249,971,005,298,319,567,195,606,497,168,550,701,178,365,125,533,
195,841,689,550,308,818,941,596,520,472,994,444,552,267,823,498,409,196,800,
338,113,719,750,935,351,226,120,870,268,502,079,325,080,088,074,102,711,183,
273,496,480,700,163,190,929,242,676,184,767,327,035,604,596,115,852,901,243,
305,520,431,089,757,733,480,010,270,078,114,697,334,961,230,708,074,705,170,
582,592,665,969,547,788,155,496,764,265,686,617,553,792,662,943,117,126,081,
933,091,369,700,879,620,532,609,162,538,079,843,951,299,562,798,443,975,754,
174,342,933,182,406,626,449,207,176,848,219,421,694,502,154,757,624,512,522,
527,699,236,693,653,573,547,809,503,062,442,726,638,271,253,143,622,528,164,
746,398,201,946,981,735,496,827,632,129,421,785,624,801,157,984,800,149,408,
107,125,793,470,025,430,814,823,544,791,219,618,987,649,831,023,087,881,714,
686,484,745,218,666,873,667,818,743,362,614,138,079,676,720,047,663,123,835,
030,584,396,868,922,594,379,189,921,568,375,315,024,547,982,610,479,730,673,
687,308,308,293,427,122,578,523,426,764,220,654,588,509,633,913,591,236,464,
024,479,446,416,953,511,331,202,891,276,347,896,805,653,395,643,995,244,875,
631,183,603,468,557,642,669,542,698,365,389,712,142,947,394,091,369,868,513,
920,243,347,961,645,623,254,964,009,713,098,732,747,040,231,020,345,858,253,
481,466,797,757,880,562,817,287,267,174,181,573,113,063,062,802,543,790,941,
800,772,464,543,841,941,749,508,570,012,103,948,192,194,806,538,644,176,771,
398,621,369,443,647,299,089,140,588,678,844,979,549,661,590,596,684,946,958,
016,004,623,912,457,826,526,910,935,202,975,079,599,304,580,468,655,906,425,
659,890,789,655,383,144,544,447,912,986,182,195,926,310,692,517,054,200,499,
891,091,196,097,644,141,172,465,630,540,903,293,332,303,168,661,867,894,873,
548,445,565,011,312,662,266,336,774,284,170,359,536,675,683,644,125,476,439,
967,887,117,376,808,626,584,291,743,080,720,725,093,080,394,478,155,171,499,
448,176,132,929,285,286,439,253,695,145,687,315,954,970,876,351,075,234,948,
200,322,671,341,396,133,480,586,303,939,703,957,589,781,058,023,742,731,701,
448,797,392,436,912,734,510,746,137,565,658,755,220,523,437,982,595,041,585,
321,546,547,681,166,447,322,345,133,129,488,106,480,931,707,840,736,988,758,
019,201,948,887,588,923,554,004,054,325,889,441,293,494,217,174,342,349,695,
539,403,924,893,193,194,107,470,911,026,362,117,167,942,837,252,935,679,606,
298,354,308,573,050,220,911,796,331,595,038,972,976,017,966,906,606,090,960,
970,088,586,532,118,145,098,023,330,204,848,946,476,235,470,871,011,021,130,
775,134,620,922,026,273,512,838,894,816,394,301,726,293,897,278,821,570,874,
921,240,430,346,982,015,829,252,105,245,855,910,547,078,505,357,317,514,190,
652,266,130,072,942,516,501,603,599,929,681,916,445,221,680,395,275,221,322,
093,710,174,032,035,375,800,875,411,437,096,108,552,758,814,067,383,248,090,
830,351,734,939,552,465,071,650,078,946,351,583,867,804,883,922,611,636,446,
591,572,713,928,356,257,554,240,453,947,855,897,415,189,328,394,284,846,222,
810,677,774,411,237,462,084,111,975,224,240,758,384,387,968,488,757,789,450,
817,865,154,582,564,965,496,996,964,057,626,287,209,140,494,259,801,631,093,
889,630,129,478,338,427,293,190,657,377,039,403,329,472,022,789,004,607,206,
717,212,872,742,644,927,956,104,675,399,384,659,888,394,519,770,221,924,471,
099,436,251,256,236,306,410,410,327,900,984,711,900,986,103,434,536,645,089,
200,174,834,622,336,890,388,077,796,703,483,545,284,417,085,982,667,743,927,
108,741,711,447,490,478,128,431,310,765,365,347,634,775,358,118,577,609,654,
358,319,926,439,721,615,850,156,134,840,388,782,557,037,091,565,002,756,262,
254,878,433,722,447,925,950,050,992,414,232,672,206,591,920,188,316,471,031,
020,829,792,930,892,151,973,770,136,331,813,223,271,787,251,117,107,028,276,
692,210,789,860,984,739,131,337,451,460,474,382,775,245,236,895,700,699,711,
324,346,209,153,812,320,814,300,917,129,868,612,150,730,737,289,414,468,286,
817,799,409,474,085,122,025,173,890,248,988,696,866,366,283,604,656,707,907,
465,928,673,866,750,690,095,914,373,040,450,564,601,872,487,754,954,910,339,
001,939,662,865,024,346,603,355,411,928,077,796,976,417,531,789,900,937,541,
812,766,431,349,070,565,676,301,253,462,458,288,579,922,237,420,595,231,480,
823,630,803,874,927,774,796,796,729,784,445,228,651,074,518,233,797,422,691,
964,037,880,992,916,614,478,666,867,708,617,667,038,997,048,702,319,421,795,
848,093,922,570,947,202,808,942,705,721,635,560,782,136,883,612,063,102,124,
369,286,476,516,191,797,948,997,857,927,489,510,231,677,695,729,874,637,185,
182,598,490,582,783,167,954,840,190,732,509,985,887,496,739,938,922,984,627,
867,309,700,769,355,385,975,057,015,430,750,579,749,955,116,801,911,867,646,
024,822,357,590,236,836,736,463,586,837,802,704,685,170,731,496,929,853,881,
673,676,744,454,972,063,679,749,977,534,319,941,792,423,026,881,519,567,986,
034,068,226,899,470,459,421,708,804,523,657,695,726,925,262,635,967,213,795,
527,580,002,906,332,900,732,121,471,474,692,263,649,360,425,455,603,405,219,
014,440,822,341,054,688,822,582,290,768,151,769,133,389,232,675,273,103,307,
255,383,076,344,077,954,004,449,525,522,307,536,741,719,669,107,190,206,156,
519,323,288,241,596,631,351,328,368,317,264,564,209,894,725,150,576,886,950,
231,508,995,887,359,215,777,577,864,053,541,523,977,470,178,912,165,978,469,
345,506,919,432,061,380,504,254,120,890,272,383,625,673,608,167,308,881,617,
348,471,333,629,887,456,936,180,257,733,380,280,781,948,253,448,350,474,197,
152,168,123,214,857,330,451,801,197,583,919,158,241,225,589,294,958,767,109,
594,958,659,078,891,921,638,093,831,833,487,301,134,467,957,415,753,576,105,
941,271,731,612,419,850,638,359,087,811,412,643,651,575,886,215,994,231,013,
278,940,087,593,106,235,217,212,418,748,190,655,009,852,530,760,431,457,091,
579,400,374,680,522,960,602,446,338,090,085,212,087,387,983,807,382,082,850,
821,166,452,727,891,625,190,966,947,590,126,248,420,352,264,549,880,770,253,
132,358,079,612,071,391,061,347,257,252,035,292,000,638,107,673,779,880,523,
865,950,747,812,715,807,135,158,952,168,915,601,576,664,916,263,002,779,526,
941,798,545,828,826,515,881,491,909,195,853,207,865,462,038,965,646,379,357,
185,827,917,534,990,314,601,988,217,426,851,416,030,781,914,392,119,236,358,
465,894,010,826,030,512,187,577,105,730,433,985,536,786,205,313,345,905,374,
599,250,638,157,846,661,775,317,817,061,519,172,071,643,753,735,614,050,850,
435,441,341,074,567,466,086,435,188,487,796,119,783,495,663,728,837,857,324,
361,935,715,004,285,533,259,171,587,878,519,904,951,331,790,875,317,888,237,
466,278,600,353,864,342,412,063,667,479,062,047,383,289,724,813,693,636,603,
937,603,601,305,944,953,147,006,885,683,158,183,290,958,778,008,890,938,266,
825,272,467,125,986,676,145,848,097,890,075,839,242,583,088,671,839,395,677,
407,454,877,414,168,810,766,392,613,487,971,044,412,533,838,531,584,307,145,
264,961,954,823,710,255,449,938,371,507,471,297,372,859,980,026,380,866,476,
784,466,883,599,497,880,433,563,813,399,055,502,773,453,397,054,460,005,376,
337,125,130,312,679,904,776,201,608,807,212,242,218,227,829,187,375,411,316,
470,672,548,923,394,154,453,588,949,770,776,280,830,618,235,600,770,552,689,
369,624,193,211,493,119,852,459,299,293,125,060,388,826,251,331,487,748,304,
081,678,083,705,577,020,642,302,523,936,735,917,086,554,677,616,085,315,386,
602,293,065,655,006,216,850,671,854,739,594,819,720,493,023,273,937,299,657,
989,184,724,004,366,179,800,418,997,259,701,285,449,407,772,490,372,638,049,
800,375,800,248,782,652,454,844,235,622,931,850,954,066,263,353,459,424,576,
771,006,395,344,079,298,462,811,756,192,289,069,893,594,066,976,486,758,562,
292,978,462,768,867,761,541,100,514,146,665,579,493,141,627,508,230,410,019,
783,279,184,365,172,433,781,654,803,696,589,570,332,612,045,126,476,381,854,
866,547,690,293,695,940,694,592,517,687,171,464,448,122,679,807,377,919,688,
393,481,379,758,855,443,194,861,237,238,596,075,598,340,653,425,999,478,536,
304,069,195,312,204,466,723,179,233,013,360,716,366,581,666,632,052,332,667,
429,298,731,953,008,455,413,167,319,717,283,028,631,083,317,897,503,868,722,
543,713,252,819,949,235,132,196,768,683,445,318,940,631,509,892,661,717,871,
205,097,668,276,205,818,450,947,726,482,673,869,062,823,271,063,543,704,741,
305,828,019,873,480,826,546,790,801,899,409,257,545,307,750,930,306,732,147,
654,238,448,402,295,839,800,330,928,850,159,428,133,348,375,535,472,802,940,
129,498,904,683,403,863,685,588,415,155,222,757,153,981,210,504,926,403,484,
808,340,045,319,283,942,822,488,657,184,858,021,620,976,075,156,038,286,659,
374,605,735,381,704,205,599,141,375,048,373,397,284,767,402,052,077,593,258,
594,164,482,225,917,041,761,792,548,183,861,908,104,352,435,139,035,687,663,
842,760,106,232,506,467,637,593,235,486,978,698,794,250,531,474,155,842,817,
432,004,430,475,662,286,599,711,641,642,691,356,174,705,799,639,296,020,516,
530,556,056,798,929,966,629,226,092,802,156,395,783,134,640,914,947,041,675,
149,441,353,002,123,886,276,610,779,189,645,447,208,922,395,642,998,240,966,
019,528,853,297,858,847,940,423,603,425,527,641,708,856,830,901,430,845,874,
173,823,787,972,464,989,626,013,502,564,124,614,592,704,289,182,439,509,273,
203,741,430,935,777,884,994,929,028,822,552,589,068,400,506,874,540,953,175,
502,365,195,958,070,363,329,744,978,626,226,532,782,206,827,158,822,170,552,
129,861,867,761,158,188,955,851,258,737,407,477,136,688,738,034,343,737,040,
884,355,963,349,088,746,537,624,532,764,061,621,830,124,423,656,646,878,317,
930,988,320,088,609,607,738,364,863,669,461,182,462,090,201,935,300,381,997,
550,360,550,154,265,804,972,406,474,560,754,497,742,221,386,444,153,007,154,
895,953,937,627,306,453,613,997,127,613,168,661,449,115,775,277,078,474,598,
095,712,358,715,062,617,591,783,541,703,067,520,155,452,872,894,199,312,958,
758,942,359,120,373,268,768,000,578,294,860,454,363,480,496,418,934,874,066,
538,168,039,912,040,981,150,156,436,422,314,056,861,462,565,142,318,036,606,
069,961,627,616,094,148,855,816,392,087,735,992,563,134,989,846,012,322,444,
963,782,621,506,346,479,119,764,062,809,129,377,595,017,179,301,514,807,816,
262,029,215,480,223,837,817,087,092,236,332,604,536,231,044,264,007,932,665,
737,243,094,309,879,330,378,112,753,637,878,115,019,531,124,549,504,206,738,
223,137,700,416,981,313,115,749,307,147,450,724,184,041,556,559,870,736,310,
511,856,804,310,672,186,897,305,552,707,645,421,954,312,737,265,210,758,507,
469,426,519,810,690,837,734,796,152,132,500,073,097,201,505,219,691,903,496,
997,623,638,409,471,793,988,027,905,561,264,362,134,518,493,616,094,323,785,
011,463,061,234,622,250,851,909,304,395,035,876,164,387,367,769,211,485,952,
790,630,601,265,893,503,238,432,519,026,740,045,885,580,910,198,224,509,809,
699,090,284,711,660,423,196,389,108,372,315,671,734,563,730,423,947,975,569,
688,131,804,300,263,363,440,499,812,573,383,824,927,464,413,699,943,382,119,
825,443,193,952,026,153,947,529,244,197,580,953,197,255,343,927,933,022,583,
128,045,045,968,183,199,734,815,012,109,391,014,384,029,837,373,629,910,677,
674,587,240,027,862,108,513,854,906,907,588,663,021,356,935,695,571,070,304,
667,550,184,167,613,352,290,179,530,705,346,773,700,009,430,323,137,004,383,
996,504,237,267,354,349,487,390,361,511,392,864,448,579,046,366,752,658,626,
439,365,251,391,592,443,705,997,970,878,376,733,725,652,440,881,621,349,310,
304,443,542,668,111,195,308,188,096,695,464,352,624,750,946,802,491,596,865,
380,933,780,417,522,204,419,300,761,101,412,965,959,198,278,463,877,052,775,
675,474,190,957,153,921,780,803,639,273,067,364,708,221,792,099,905,505,135,
827,250,324,792,097,503,490,771,107,419,221,341,607,701,399,942,157,057,321,
317,646,715,060,175,768,214,750,371,388,164,992,775,435,940,553,983,093,866,
937,734,245,983,374,833,940,415,791,415,435,923,406,458,700,166,736,642,624,
046,807,623,893,843,300,911,028,479,235,321,360,781,822,014,009,695,879,822,
817,341,772,669,931,382,389,942,712,977,609,649,881,269,252,903,981,508,782,
193,414,150,512,014,199,627,195,677,819,733,336,114,374,419,008,947,468,429,
885,273,285,601,331,955,989,408,336,341,364,090,850,770,280,269,578,850,652,
208,312,491,281,241,851,752,473,054,353,692,712,883,987,478,648,176,633,718,
595,188,916,759,814,339,146,301,505,432,152,103,692,338,145,341,679,025,893,
988,390,574,123,863,227,701,069,817,453,719,005,985,207,513,757,369,177,527,
513,119,222,117,140,697,116,110,061,518,345,971,532,696,153,116,517,971,521,
806,761,662,310,889,954,131,997,101,443,640,003,821,521,822,376,257,348,099,
244,117,111,272,531,017,466,722,308,341,262,192,537,485,440,573,692,105,408,
162,934,692,228,393,590,837,671,355,308,298,315,061,389,391,359,022,233,781,
260,883,068,986,487,943,052,907,944,696,865,500,828,837,891,079,048,005,664,
513,547,310,680,520,794,283,053,367,066,234,973,498,099,968,553,114,753,761,
811,413,633,460,933,897,792,523,048,840,992,455,365,519,662,978,057,252,453,
432,927,282,757,260,602,590,218,935,542,331,827,078,042,430,686,964,822,700,
978,211,716,012,178,827,886,701,667,235,369,436,479,791,560,697,426,296,384,
743,051,374,643,462,823,406,212,295,155,321,986,475,182,152,341,063,197,029,
066,728,159,903,460,963,478,580,455,344,700,519,706,546,444,718,498,295,638,
982,759,061,225,785,237,553,297,679,713,955,769,728,347,281,799,385,061,400,
242,379,053,713,707,816,812,766,844,969,072,723,297,108,672,924,676,731,079,
149,686,066,169,668,353,637,258,222,972,970,790,367,118,950,524,444,246,538,
587,975,221,041,439,953,371,455,843,213,554,826,788,610,673,352,676,821,246,
182,436,149,109,795,655,863,330,563,526,115,454,903,365,738,021,658,720,139,
385,047,950,846,545,011,885,386,428,557,176,035,245,024,860,069,442,327,593,
604,222,926,321,962,946,848,522,947,308,246,613,521,450,640,776,821,832,571,
315,560,918,179,098,232,206,217,403,305,227,130,384,683,639,478,854,441,642,
495,526,967,680,298,712,341,331,223,862,886,400,183,650,343,204,659,428,052,
648,658,570,550,834,201,280,762,930,101,362,333,252,534,121,769,227,043,422,
511,132,739,593,686,528,513,740,497,691,589,480,683,576,479,960,779,076,548,
654,146,066,315,981,184,683,420,416,078,623,257,366,195,928,209,612,197,636,
195,296,945,889,952,139,998,555,835,133,009,206,413,152,652,288,908,699,545,
342,569,076,539,418,840,659,463,582,849,082,547,642,562,794,144,786,217,086,
682,945,058,389,336,795,786,917,949,326,543,374,279,474,562,233,525,326,482,
886,519,608,711,811,055,547,259,926,277,250,276,432,971,182,800,039,173,005,
787,416,772,761,327,806,995,100,931,025,542,480,669,183,585,942,658,104,316,
822,924,731,503,472,096,484,343,680,404,297,681,734,813,222,686,618,841,372,
334,420,333,581,287,318,331,850,823,483,027,057,470,785,283,513,003,735,657,
912,726,578,149,618,991,999,521,054,633,371,009,263,589,676,134,078,047,890,
480,492,508,257,277,688,722,801,320,099,923,566,809,855,837,402,982,241,877,
987,352,934,600,831,294,824,752,258,338,799,945,613,389,329,585,709,476,586,
381,928,493,505,083,831,626,137,221,409,675,382,251,440,546,536,671,529,315,
628,426,420,665,385,149,729,477,589,749,387,146,852,210,418,209,881,539,383,
508,969,317,910,674,620,318,658,560,841,287,436,062,949,950,477,796,880,558,
093,691,076,428,480,833,041,120,705,942,663,020,946,889,871,840,859,989,550,
344,770,049,039,856,758,188,733,895,155,814,133,962,292,584,663,455,064,738,
032,394,650,596,307,011,521,923,488,235,148,560,388,731,389,286,053,935,083,
647,278,356,298,618,297,741,889,342,807,160,657,827,081,813,206,330,991,435,
897,394,760,189,428,384,190,936,636,836,561,028,993,792,917,966,602,256,020,
950,110,724,799,423,510,093,377,833,638,938,806,527,623,959,645,633,945,592,
043,827,892,270,831,703,347,754,892,296,536,818,783,195,080,129,083,511,372,
560,367,433,759,998,642,319,629,362,586,353,024,745,911,483,539,937,076,066,
077,062,384,744,757,082,411,787,136,452,759,064,544,287,114,246,125,922,300,
459,623,560,398,541,919,296,501,543,243,788,525,553,379,188,937,964,158,666,
424,362,559,808,618,561,604,171,471,729,416,362,752,062,087,775,363,365,045,
473,518,341,276,423,528,659,855,180,354,699,671,710,116,233,792,113,989,995,
371,589,395,578,445,166,839,158,286,628,501,828,045,757,033,411,416,782,064,
102,619,897,944,925,726,175,592,859,061,922,149,658,416,953,625,626,011,102,
500,636,024,933,634,456,076,911,940,882,049,641,094,020,925,544,818,966,427,
918,735,865,827,923,537,988,978,735,468,738,776,052,543,789,449,976,641,858,
396,115,455,752,584,238,608,330,259,194,199,988,468,545,708,629,098,368,425,
925,118,336,345,587,216,151,725,668,479,296,169,322,421,476,848,317,714,202,
489,201,666,816,818,193,733,219,010,871,914,738,149,527,974,053,512,328,867,
284,616,428,038,126,384,098,260,945,818,276,421,475,664,286,814,508,859,344,
437,801,106,049,251,470,969,724,611,651,443,301,640,298,114,709,417,293,861,
884,852,233,990,976,204,016,061,605,807,946,296,137,549,060,838,747,335,806,
534,510,419,338,768,383,788,358,335,792,357,235,255,323,596,198,864,733,185,
464,372,815,546,472,052,909,627,261,777,408,293,306,831,711,721,976,933,757,
253,946,021,952,022,257,853,463,190,829,254,803,368,724,601,569,649,807,779,
242,594,314,666,132,288,790,248,170,619,247,926,435,580,018,599,319,124,369,
871,562,958,530,213,302,174,013,007,193,944,622,467,000,794,926,977,099,908,
823,899,611,334,393,315,810,682,608,282,315,407,647,962,420,699,918,285,933,
137,559,671,096,093,562,161,400,671,238,243,182,254,862,458,301,665,604,004,
450,976,595,070,120,658,813,837,578,254,152,960,397,681,198,700,828,881,307,
827,076,071,861,554,219,045,273,694,901,947,784,665,379,213,078,957,805,982,
060,979,921,901,721,781,723,022,314,658,773,660,211,632,559,737,641,160,199,
709,675,347,274,705,000,300,485,599,317,962,645,057,258,534,472,245,951,206,
062,832,940,371,881,714,063,332,619,827,853,709,466,712,709,185,703,362,659,
733,275,232,978,544,959,577,794,289,040,385,576,789,267,690,640,901,127,516,
114,143,036,014,783,849,590,392,079,861,623,249,859,874,803,675,660,645,792,
819,636,655,878,699,248,221,830,535,505,453,330,142,939,778,090,383,137,331,
269,737,489,610,416,161,892,740,505,407,963,227,642,729,847,703,937,459,623,
198,570,783,223,359,052,453,934,231,738,585,923,397,987,337,089,899,721,319,
431,630,529,469,543,225,541,638,990,637,829,258,008,034,171,481,875,290,251,
975,932,849,711,230,600,136,907,248,221,019,784,721,965,259,886,713,248,575,
217,490,685,926,759,234,921,851,924,735,732,838,280,815,348,113,083,505,293,
149,576,148,305,404,937,328,530,756,973,640,546,086,974,761,329,033,566,967,
979,494,536,100,950,258,531,316,977,776,177,355,803,982,688,868,565,238,767,
106,395,596,752,696,426,873,763,075,441,222,426,937,049,413,890,914,911,447,
654,251,099,269,407,401,299,336,550,884,479,008,634,618,538,948,446,559,533,
733,802,446,625,753,955,096,794,805,775,562,674,866,081,237,115,518,352,946,
310,494,215,425,013,545,479,431,042,345,397,959,869,634,643,326,835,909,776,
243,675,463,909,350,413,848,463,229,285,402,844,383,026,242,903,788,133,671,
196,957,667,126,361,883,158,436,946,372,942,275,566,455,801,783,247,680,659,
730,207,506,404,748,780,438,515,985,132,587,882,946,167,716,158,490,771,613,
620,341,182,686,981,415,533,550,290,972,466,345,280,853,900,334,796,576,493,
318,416,277,011,668,458,291,800,066,497,793,144,969,782,548,573,282,773,869,
259,902,013,244,776,510,309,774,972,174,240,623,123,822,240,552,040,279,046,
443,558,391,612,246,746,607,141,562,561,640,598,794,210,532,495,859,297,375,
015,433,779,972,880,308,092,327,986,174,718,104,218,342,326,515,607,609,749,
614,107,383,215,731,670,457,982,475,414,654,795,000,984,598,714,065,334,083,
723,991,366,272,960,827,499,563,152,878,671,020,153,691,200,677,028,144,376,
578,217,341,240,799,655,967,301,988,374,019,136,645,561,403,821,655,427,049,
306,454,755,834,319,595,231,994,994,633,538,711,027,441,735,885,926,413,644,
416,158,772,411,324,927,457,058,642,094,114,771,655,652,856,711,115,711,728,
313,953,627,870,715,668,527,105,359,816,735,655,110,255,153,644,024,813,713,
725,491,354,903,348,608,407,002,222,322,542,933,141,993,946,203,917,191,353,
706,347,959,669,954,663,493,835,902,108,397,616,111,058,797,602,973,302,419,
718,265,961,229,116,324,128,229,237,921,501,816,542,423,915,407,140,048,339,
528,433,464,484,899,352,946,908,358,322,162,652,649,448,281,335,467,415,893,
833,460,440,563,442,964,315,235,352,856,196,095,369,625,661,183,874,156,242,
404,041,260,043,689,125,798,714,645,978,794,340,161,520,713,701,523,625,784,
875,518,091,243,824,991,406,827,107,570,937,072,409,692,167,070,232,396,616,
270,551,690,400,831,220,010,153,912,247,955,600,599,770,597,529,535,640,220,
165,343,202,983,861,664,931,292,000,904,530,413,500,278,219,314,115,673,234,
882,040,510,507,545,164,568,515,299,665,977,088,471,034,807,387,911,144,138,
419,791,161,607,022,029,402,045,353,526,538,443,194,721,550,801,881,378,181,
612,299,873,035,529,130,294,502,858,617,990,335,107,918,106,594,674,604,722,
391,227,168,471,263,091,725,129,935,066,776,040,335,270,635,339,324,238,859,
450,585,540,342,488,851,967,529,152,909,652,137,488,484,487,244,750,522,865,
198,069,126,917,226,322,121,041,711,647,860,113,084,710,056,883,963,483,476,
985,273,060,040,504,303,729,042,969,523,891,269,603,845,447,997,327,174,002,
833,153,530,813,761,222,719,404,601,417,348,223,827,517,476,242,957,821,014,
839,876,942,597,601,135,472,655,808,938,039,872,943,248,602,327,757,677,074,
991,088,357,914,985,254,391,250,178,215,821,230,365,352,969,576,634,458,067,
279,579,344,871,510,834,868,505,163,634,849,950,103,771,535,956,460,103,487,
494,391,353,904,746,817,381,723,720,059,588,511,654,398,870,909,327,026,703,
023,962,548,135,047,550,462,760,482,881,593,066,744,867,493,209,013,701,600,
347,840,155,415,895,217,133,063,300,608,946,024,260,023,509,401,630,827,572,
560,909,317,390,920,754,757,383,453,590,109,050,832,886,504,689,874,509,117,
246,496,391,572,159,857,431,211,938,859,604,156,127,587,498,863,002,158,813,
546,697,140,696,681,428,040,374,454,278,678,343,499,752,374,981,443,631,607,
621,118,522,097,082,868,851,035,880,176,687,180,294,341,218,433,405,670,709,
064,942,814,081,419,004,549,797,213,189,882,269,161,212,912,692,800,859,145,
094,238,545,122,250,726,094,040,136,095,938,735,391,621,606,817,084,233,424,
728,016,594,559,417,275,733,351,421,320,322,850,740,742,796,105,616,891,863,
971,827,930,802,350,333,094,663,705,510,715,552,452,584,739,642,875,245,222,
127,536,368,686,231,145,231,872,110,302,745,509,827,655,132,923,180,454,483,
599,122,080,143,826,224,079,447,617,828,909,991,398,033,523,277,198,071,608,
910,026,595,132,120,846,974,333,990,493,080,101,295,108,871,230,060,126,843,
767,381,341,202,762,264,834,315,286,077,438,180,530,881,532,447,355,520,255,
533,856,629,703,726,277,633,635,913,962,028,909,012,729,037,606,962,719,382,
180,484,091,528,629,902,089,860,516,439,978,707,348,753,215,335,512,875,556,
381,447,810,974,426,807,914,561,504,925,277,980,098,604,092,469,825,847,699,
387,790,486,371,359,411,362,614,220,252,419,498,727,888,381,159,306,805,011,
476,208,936,458,796,843,986,298,752,551,100,536,836,223,065,470,393,264,040,
996,323,118,695,051,401,217,593,994,537,005,215,964,062,935,762,248,316,117,
818,888,046,886,393,798,184,573,882,687,967,429,698,725,696,157,864,599,204,
106,059,511,482,533,312,203,922,124,156,950,955,828,220,060,019,494,551,230,
685,483,069,453,624,918,054,337,016,556,239,779,856,062,171,358,501,489,692,
281,067,684,735,357,884,668,566,559,271,093,683,973,593,521,796,223,974,465,
197,641,796,888,997,211,489,248,732,673,867,807,177,319,551,045,699,182,696,
585,024,125,506,032,941,857,283,040,691,382,172,396,639,872,248,524,740,825,
465,521,468,243,517,658,459,939,938,052,749,630,828,776,246,807,039,212,739,
317,955,218,077,484,844,599,745,929,289,210,194,384,422,603,352,135,102,032,
591,680,993,144,565,427,009,260,303,766,605,563,117,800,840,644,407,621,833,
124,498,533,981,872,540,575,969,699,339,965,893,217,292,864,858,941,297,945,
034,045,289,708,134,055,922,482,629,517,011,137,608,412,345,429,402,742,231,
959,819,911,132,818,682,421,020,248,265,075,605,717,497,466,525,455,216,179,
634,877,321,263,856,505,075,906,253,608,695,266,562,482,367,017,731,726,345,
475,360,285,689,080,153,065,921,314,274,698,411,474,964,746,966,433,751,368,
343,739,704,475,402,820,180,754,702,402,880,913,447,509,169,225,716,778,271,
866,870,470,864,087,385,872,545,974,644,663,341,413,667,534,442,233,151,290,
793,510,283,307,682,535,007,233,696,856,478,528,890,883,976,146,538,583,369,
686,834,867,153,824,845,660,572,047,556,647,347,519,710,066,981,583,514,121,
366,827,483,701,555,149,029,108,331,882,114,094,405,907,939,770,082,437,680,
446,512,093,874,307,003,650,545,876,098,507,145,887,733,085,217,004,649,276,
765,198,229,518,146,834,036,062,117,158,773,385,184,282,451,222,369,637,449,
251,485,652,326,888,774,573,121,450,089,027,044,188,747,597,898,920,610,102,
846,602,437,461,828,530,623,867,231,014,740,864,921,193,396,705,310,141,511,
517,714,277,303,261,618,254,546,751,184,888,127,785,255,792,405,314,907,024,
649,924,012,464,730,319,637,913,491,816,935,073,004,739,959,804,103,024,625,
054,959,523,232,255,608,768,550,614,543,052,978,185,568,860,352,562,218,824,
971,374,682,407,777,443,408,489,813,303,673,085,237,551,262,593,012,101,331,
424,170,064,364,427,486,367,452,716,243,915,987,370,535,061,042,374,452,411,
946,525,442,944,761,673,231,351,552,540,446,097,610,736,830,695,188,397,219,
931,649,857,040,065,847,348,127,192,363,530,932,015,110,760,477,487,187,041,
046,102,370,404,268,232,132,356,345,187,372,456,098,581,206,338,487,078,144,
798,874,662,142,895,015,258,167,567,963,220,093,530,128,825,219,920,054,672,
550,538,262,911,957,473,230,532,638,623,130,509,501,697,187,687,594,439,468,
569,892,633,660,865,225,499,128,689,181,397,873,130,610,271,698,635,675,907,
331,629,617,465,079,603,468,917,316,207,496,159,909,464,163,148,512,285,292,
543,597,238,400,146,107,720,766,162,813,584,783,956,135,706,275,570,342,118,
264,689,352,853,296,373,445,017,446,947,652,507,623,987,382,057,614,491,371,
750,407,368,799,126,229,861,268,678,037,328,120,867,201,134,336,966,873,966,
958,560,714,793,388,038,398,723,303,332,356,242,522,644,100,491,068,654,856,
384,407,951,213,233,600,924,078,132,071,988,104,142,273,202,208,768,298,298,
580,396,776,545,558,882,639,028,200,343,562,462,907,878,908,437,382,457,161,
637,019,154,696,871,420,204,973,452,227,862,567,799,219,941,654,640,440,606,
613,599,310,991,184,185,780,147,883,976,253,351,834,267,086,138,200,898,799,
833,177,997,798,269,325,060,605,508,945,173,047,582,142,357,328,805,974,460,
264,801,827,855,378,221,105,632,054,819,911,186,121,567,118,399,241,126,485,
544,963,962,168,161,014,283,816,568,220,566,213,023,830,395,665,209,977,263,
387,968,833,617,248,916,210,168,849,145,403,885,096,082,020,293,751,739,185,
095,731,671,603,597,417,098,061,450,046,530,475,282,540,304,109,315,906,616,
425,805,824,108,825,875,939,454,124,833,356,413,138,235,965,157,495,043,860,
674,853,570,941,978,034,701,163,191,323,388,404,904,985,248,545,094,582,690,
334,124,388,016,447,312,957,482,049,157,785,317,791,009,977,983,787,506,926,
911,188,347,596,653,120,227,611,953,054,678,651,231,195,247,444,946,206,564,
208,440,539,512,182,916,117,425,445,418,927,122,435,184,716,822,533,363,105,
009,372,517,425,980,400,613,607,636,412,080,434,778,542,293,468,932,251,030,
058,457,273,166,079,389,408,685,761,450,838,975,461,090,180,014,258,988,857,
574,696,110,293,689,890,929,551,185,357,735,575,146,623,041,209,881,136,543,
220,980,742,089,778,730,828,949,482,119,356,752,673,021,569,690,660,879,321,
578,937,524,326,049,377,313,369,891,522,522,508,496,642,742,068,583,363,386,
242,763,761,904,605,976,193,241,736,419,673,599,732,876,580,863,648,253,317,
888,468,262,677,486,958,477,741,214,783,054,164,411,031,186,244,538,434,185,
519,501,712,676,390,451,059,104,166,739,578,363,039,432,517,021,228,826,997,
708,820,264,420,627,082,163,988,288,297,426,645,924,677,632,874,828,026,855,
395,611,189,971,039,292,432,563,965,049,120,682,705,134,418,829,381,268,297,
365,193,305,507,797,895,184,674,109,442,664,230,168,368,784,216,379,506,537,
100,725,561,444,140,036,357,647,585,456,857,773,084,712,012,397,307,452,062,
947,352,271,276,425,798,635,384,707,393,620,356,822,415,741,729,053,232,645,
483,744,550,090,754,222,499,942,994,172,745,234,451,487,835,267,728,859,088,
720,543,280,343,220,622,617,642,331,812,450,108,586,484,457,417,110,496,649,
342,722,395,681,065,541,994,913,593,406,034,914,002,809,523,338,998,039,724,
782,450,900,230,968,435,960,603,408,687,883,149,436,873,962,881,743,267,553,
834,564,129,008,459,900,732,819,320,004,815,772,304,701,916,408,356,167,952,
359,119,157,881,229,124,633,119,653,080,131,951,058,776,477,543,346,223,144,
369,505,710,717,893,083,721,581,336,482,280,303,460,123,062,972,085,484,087,
625,429,742,314,738,434,235,388,783,813,815,790,273,462,951,243,160,370,579,
156,466,130,490,749,234,186,141,097,579,188,076,190,214,662,667,855,740,310,
488,416,955,757,979,803,079,396,637,964,138,771,399,054,849,796,817,260,863,
764,270,102,580,738,510,836,745,174,111,660,719,321,085,893,644,657,815,873,
026,136,716,385,077,794,104,205,392,754,373,495,041,383,202,768,773,536,938,
901,341,636,676,487,824,613,777,070,421,010,818,972,544,853,503,706,637,934,
765,532,222,889,442,926,718,667,674,542,646,948,820,691,864,421,653,560,371,
303,558,609,683,126,282,779,754,894,744,857,398,056,112,358,932,632,217,463,
557,073,635,507,693,987,904,952,195,684,911,117,230,236,973,569,567,618,695,
298,875,329,862,506,577,679,869,125,778,936,061,030,220,160,620,018,057,220,
742,200,158,022,763,817,122,779,121,106,335,604,555,564,610,526,185,429,911,
229,630,550,089,540,132,155,266,473,693,723,890,256,216,887,699,936,903,854,
869,063,684,058,929,638,226,747,787,702,179,251,317,426,714,146,671,455,357,
598,804,402,802,720,974,746,501,890,702,105,133,970,288,490,231,955,155,379,
134,353,596,587,075,404,431,692,121,666,716,152,315,235,123,555,007,608,642,
109,006,454,489,603,895,436,610,239,587,253,127,106,204,604,827,099,846,991,
531,266,261,305,957,331,473,520,681,554,420,343,509,757,902,094,868,382,954,
842,192,441,950,944,827,574,577,161,030,194,545,360,180,525,032,070,878,648,
989,334,592,220,362,234,683,335,699,394,731,212,840,823,467,887,373,504,743,
244,761,665,505,641,794,121,421,191,724,084,187,655,290,457,109,044,942,113,
780,373,553,491,078,307,138,709,659,754,189,142,765,958,088,267,722,312,911,
593,570,415,755,593,282,752,575,279,862,639,746,729,164,837,327,055,484,324,
058,018,002,792,903,360,588,818,407,406,571,003,472,447,477,599,959,801,446,
453,310,962,874,865,101,292,381,063,000,712,303,196,812,808,016,990,140,460,
096,563,114,557,858,639,114,537,229,572,269,162,509,515,685,233,030,835,126,
518,667,210,843,233,640,272,761,080,529,510,627,027,020,321,854,713,388,937,
655,696,962,276,594,360,195,998,448,885,431,168,948,704,232,693,584,381,711,
907,721,884,446,274,229,290,178,222,750,481,124,007,050,596,974,287,161,280,
890,266,938,198,856,090,499,110,301,805,129,708,501,573,130,045,155,439,611,
696,525,299,945,708,168,790,523,004,044,358,227,608,057,039,869,173,619,539,
832,075,383,214,013,699,692,136,220,879,430,272,145,606,133,245,996,182,410,
813,755,995,368,134,607,709,626,145,447,697,422,991,778,181,811,717,217,697,
691,136,269,882,137,564,928,972,982,363,491,508,530,504,512,773,813,624,881,
510,064,765,715,209,550,862,713,724,081,882,658,315,245,302,222,682,428,147,
546,595,472,895,805,282,682,447,034,795,045,671,237,919,351,999,444,949,429,
985,740,562,765,954,215,311,945,092,822,044,520,753,418,820,525,308,900,863,
428,287,635,350,019,707,168,157,977,216,445,613,710,871,369,952,854,892,553,
929,252,242,253,557,771,706,159,601,144,335,146,018,061,001,407,196,306,213,
829,817,456,929,130,426,677,165,338,080,255,785,521,723,905,402,933,363,912,
650,337,485,324,342,568,730,845,171,522,099,148,632,390,208,074,788,526,868,
348,847,057,930,343,932,818,148,224,550,008,304,207,005,278,295,088,487,085,
983,069,821,939,168,228,789,067,279,407,032,308,062,547,771,303,928,164,626,
892,278,998,932,481,327,067,816,003,500,482,477,933,291,323,398,282,535,216,
594,093,350,357,106,745,553,738,045,749,524,775,541,072,407,889,717,147,713,
390,143,273,703,079,631,040,198,786,468,329,512,265,863,576,189,847,340,536,
795,925,833,974,661,335,159,238,108,899,476,749,465,021,561,722,742,968,749,
093,304,069,776,167,608,387,282,092,153,100,372,939,217,424,295,282,333,349,
997,807,887,343,986,651,780,786,263,948,272,521,068,230,744,560,780,517,341,
824,481,971,447,758,265,934,320,356,844,818,345,858,887,181,299,482,630,983,
091,021,173,710,734,361,562,373,615,688,087,424,330,005,919,988,206,761,640,
121,698,523,859,982,757,952,315,994,808,452,366,121,528,588,422,830,900,325,
770,442,500,784,153,592,404,675,207,044,314,108,421,643,341,110,061,349,073,
309,232,851,878,909,227,064,437,278,704,639,421,661,898,175,254,794,292,537,
238,077,460,132,455,700,869,067,120,761,095,077,891,485,206,309,347,400,857,
782,876,152,269,462,148,329,270,803,772,345,693,850,790,220,851,581,489,606,
695,990,313,082,176,767,547,415,256,575,570,403,107,858,832,631,089,611,797,
188,078,544,699,383,125,882,152,547,850,669,427,822,008,779,245,328,260,111,
055,882,924,907,368,245,523,521,537,828,310,559,579,186,474,189,973,557,185,
551,906,528,561,997,844,483,408,559,760,541,139,783,130,043,598,657,555,613,
635,882,718,275,718,455,179,540,148,521,477,260,635,670,394,715,734,196,531,
911,554,542,317,545,606,297,098,944,354,112,030,488,888,725,279,622,678,076,
273,721,586,564,558,881,019,442,924,525,677,784,196,840,446,238,888,277,120,
452,770,156,496,079,557,758,801,864,666,136,957,612,515,415,485,389,823,534,
089,381,159,252,631,875,106,720,981,238,452,739,541,457,185,980,123,811,982,
578,046,533,038,210,197,470,196,383,530,110,227,610,468,365,581,629,228,918,
599,278,515,566,092,295,109,835,119,985,798,602,521,345,511,231,946,767,362,
060,977,795,633,730,212,927,338,769,596,752,949,302,938,334,322,238,921,186,
695,106,009,867,375,354,071,188,320,298,865,024,640,470,124,119,120,706,269,
162,937,875,198,366,255,972,538,418,661,702,074,214,901,364,376,141,667,665,
469,864,831,706,242,190,218,332,610,296,789,057,706,876,475,983,927,655,966,
764,655,715,883,657,339,192,609,998,901,489,029,955,827,689,825,131,952,700,
103,443,147,180,719,241,353,478,176,428,049,290,045,369,289,091,314,864,535,
558,720,198,228,047,270,890,812,746,727,592,298,446,611,379,428,449,983,484,
914,678,915,832,424,413,403,638,300,402,708,396,780,118,080,729,661,988,873,
594,283,710,078,215,676,868,830,930,549,692,999,991,993,571,053,611,523,694,
620,172,500,430,193,635,840,161,513,398,072,089,338,212,622,632,770,133,798,
297,616,510,225,623,250,584,110,648,996,545,198,510,809,953,698,587,693,795,
197,671,856,346,075,321,325,966,060,300,684,967,417,358,378,748,817,304,115,
454,189,563,851,033,264,136,126,229,656,349,874,995,961,078,682,721,310,795,
022,930,404,649,856,732,537,423,485,434,575,387,002,941,485,508,762,350,922,
806,521,725,659,836,860,177,806,707,924,384,356,027,887,242,060,699,839,243,
529,133,956,282,794,398,776,078,522,700,177,548,063,282,037,844,720,668,864,
434,482,760,258,111,832,586,300,273,905,332,644,802,244,395,710,875,813,743,
057,234,878,267,437,022,835,144,896,946,445,508,834,262,973,182,863,016,004,
986,877,834,254,499,730,221,583,689,785,222,296,546,037,934,076,901,703,178,
313,034,188,522,230,134,098,479,444,329,152,943,580,001,125,417,727,058,955,
314,033,156,862,983,647,311,409,980,642,689,015,617,378,201,589,784,025,045,
504,442,699,262,860,527,445,990,955,810,243,400,359,482,545,536,927,195,987,
367,333,564,737,506,657,303,454,975,967,025,679,412,557,198,179,163,990,208,
013,320,315,939,304,763,145,353,397,147,353,458,775,100,939,257,159,520,513,
380,481,920,745,318,356,906,237,214,598,696,415,248,215,575,126,018,705,543,
817,438,777,025,727,695,811,514,633,871,585,797,866,564,122,475,790,382,223,
816,567,599,270,037,599,893,822,652,332,487,172,343,287,138,161,976,424,336,
581,751,193,147,462,742,249,194,007,519,289,263,538,292,078,671,478,182,145,
921,966,628,076,057,276,835,603,813,299,797,051,411,764,081,551,495,335,570,
032,121,414,592,369,415,622,748,345,409,318,293,907,684,127,995,313,914,472,
333,094,549,004,240,753,993,483,799,587,021,153,537,140,738,844,228,873,874,
834,635,731,825,235,310,659,390,520,487,134,552,140,658,206,570,305,587,580,
866,045,287,745,452,211,880,127,987,934,873,251,436,079,886,006,995,438,132,
486,833,936,178,437,767,714,931,158,771,960,375,530,169,301,650,703,850,261,
294,044,755,549,299,498,223,609,458,183,582,751,227,479,890,074,575,318,489,
630,026,743,496,888,566,080,585,351,388,829,720,699,201,336,571,460,229,106,
552,475,084,954,518,967,774,846,055,530,974,506,724,117,221,042,264,667,048,
247,441,407,685,463,107,704,341,919,270,561,469,332,731,061,897,556,264,935,
861,177,866,100,752,701,540,669,966,407,593,376,557,277,789,073,409,240,505,
506,722,546,573,465,519,983,634,591,403,990,234,247,468,669,251,292,816,511,
289,933,050,881,554,670,104,744,545,423,998,104,522,870,002,595,188,138,815,
526,665,695,215,427,499,673,580,356,920,735,754,918,706,955,205,892,320,456,
385,076,118,959,147,795,517,532,605,752,793,304,630,986,330,902,482,006,714,
206,104,427,701,090,064,360,196,630,736,675,083,683,977,604,941,154,800,673,
219,374,692,863,180,843,955,376,732,101,734,007,818,783,849,388,686,473,940,
551,472,106,539,735,225,505,714,071,116,208,313,801,319,686,452,216,783,573,
304,594,901,102,436,984,339,042,262,210,632,857,403,971,215,783,416,723,209,
443,907,020,150,267,375,820,360,612,402,928,620,863,696,954,802,301,890,296,
820,728,853,821,033,866,647,582,943,713,577,535,429,368,062,675,290,613,256,
834,769,494,324,240,764,118,682,600,190,479,863,740,464,050,257,658,260,370,
844,359,688,386,557,077,783,995,823,467,505,483,987,677,462,298,974,416,479,
935,327,976,023,478,830,486,965,686,654,333,546,003,065,173,267,530,169,737,
900,692,367,390,466,964,770,787,924,718,660,617,026,394,351,663,870,175,876,
012,166,690,385,167,547,526,366,469,746,306,673,277,103,539,138,989,612,619,
991,544,353,610,546,669,932,398,751,361,862,777,414,902,592,575,679,911,666,
683,980,224,785,186,962,057,713,354,594,189,863,806,905,724,219,551,061,964,
546,987,207,063,950,298,375,002,236,958,119,358,507,784,658,442,846,268,034,
140,676,622,036,616,856,755,374,956,281,342,350,566,595,910,291,187,285,376,
091,943,223,880,547,210,888,108,367,417,110,534,808,764,583,415,748,884,071,
605,620,995,524,991,408,149,026,476,125,820,020,976,670,328,293,169,438,507,
196,707,157,610,788,649,739,242,780,039,758,722,871,415,445,743,913,146,367,
934,069,286,522,965,487,550,609,565,078,474,319,449,999,654,359,384,546,221,
685,600,165,623,166,057,439,348,754,638,206,301,385,583,242,139,054,597,998,
850,876,503,914,884,313,051,591,111,553,672,670,136,093,935,383,457,034,467,
275,997,523,673,330,526,984,468,302,650,678,280,385,742,731,821,426,488,187,
728,637,189,652,493,583,549,198,620,780,324,113,816,917,213,098,925,305,354,
414,109,018,828,508,403,070,903,881,092,048,760,780,335,655,633,889,993,357,
373,234,304,979,550,471,278,346,193,032,992,513,899,376,791,807,704,932,298,
511,720,473,203,915,630,026,173,340,713,757,518,100,051,346,306,760,988,584,
437,162,267,249,903,337,447,243,988,976,522,776,948,844,867,192,777,729,301,
701,189,978,609,798,806,714,158,003,841,624,571,138,167,181,536,615,608,739,
737,093,618,627,230,799,775,814,442,543,232,853,433,533,838,223,416,808,345,
047,409,154,007,349,360,535,102,478,233,342,438,997,565,917,033,006,930,037,
562,967,409,425,743,560,975,116,668,321,124,099,985,686,284,125,207,803,026,
872,936,928,676,646,320,116,791,456,348,822,523,835,278,235,236,723,364,471,
703,587,295,653,925,163,512,467,214,839,777,877,160,162,630,380,884,111,731,
921,359,457,043,794,148,228,006,578,219,584,779,557,879,354,822,388,557,059,
222,986,259,774,020,746,856,456,336,671,187,187,575,088,440,042,192,801,787,
766,136,215,357,116,047,410,149,251,551,801,880,094,330,787,662,222,840,138,
590,504,495,643,707,103,352,741,026,263,651,484,400,333,155,331,739,122,485,
635,618,360,293,781,033,638,265,827,330,990,446,775,468,867,588,021,612,711,
827,100,971,841,481,397,864,783,078,393,058,072,536,842,901,124,215,047,055,
306,038,857,192,026,897,662,800,987,060,594,983,889,831,203,004,355,410,276,
762,808,880,010,861,961,267,292,519,772,291,131,934,336,791,471,047,612,213,
424,183,516,568,716,330,931,663,777,485,790,307,249,001,413,411,015,889,922,
151,131,254,099,943,606,049,838,466,319,220,532,487,427,267,431,183,886,979,
061,388,323,021,155,184,487,690,645,456,976,683,287,920,255,136,238,744,933,
208,503,359,009,856,496,059,860,547,697,952,903,357,270,203,542,104,118,417,
214,580,575,387,905,117,001,858,259,666,467,251,771,071,403,381,346,804,547,
067,821,296,782,026,290,671,876,313,203,070,193,886,899,062,236,956,599,592,
885,463,784,987,502,996,484,380,229,945,440,825,331,930,007,994,361,012,287,
171,144,383,567,689,177,551,648,477,868,498,108,720,207,168,808,454,143,674,
199,893,146,752,773,489,793,941,515,456,046,636,671,906,578,047,658,188,842,
391,397,238,175,713,204,008,376,335,210,871,002,363,782,053,761,233,511,910,
564,507,078,483,460,778,530,364,574,510,890,737,908,437,624,224,064,707,394,
046,225,525,909,901,594,917,968,896,151,851,315,911,060,921,049,030,257,893,
120,278,225,839,617,431,648,624,057,846,398,142,420,003,696,414,822,794,456,
253,457,295,464,920,446,242,517,351,315,114,748,556,350,214,507,828,062,460,
838,154,254,580,199,304,697,666,858,249,194,785,819,392,671,197,104,467,232,
818,705,484,981,182,477,289,679,891,939,061,837,367,369,401,265,284,544,977,
995,611,642,603,140,774,588,583,767,816,084,210,765,094,258,531,777,966,492,
335,751,414,188,760,923,057,823,601,089,837,630,171,745,146,761,883,052,349,
614,791,726,178,095,214,099,546,941,020,972,279,016,008,223,725,131,028,602,
821,147,567,261,433,817,342,326,152,584,327,254,970,856,645,013,051,876,753,
556,199,666,506,661,406,741,935,072,598,457,858,406,046,957,699,632,569,859,
651,752,221,169,912,484,725,433,028,545,309,178,288,649,496,966,012,438,206,
058,476,995,346,409,375,556,489,969,548,690,528,948,532,456,005,060,000,914,
263,137,665,495,710,857,422,520,448,542,295,159,746,659,195,900,760,606,912,
511,930,234,302,177,877,385,528,527,876,394,257,133,060,044,879,174,379,041,
926,734,561,709,377,386,747,940,679,484,664,398,842,007,164,658,413,081,349,
938,467,610,733,409,378,338,613,288,122,690,378,090,653,677,674,025,959,190,
513,594,264,832,529,205,541,699,933,626,846,071,808,856,724,087,166,593,143,
752,682,472,172,752,441,872,559,392,502,350,116,289,104,471,804,193,941,060,
453,101,688,376,111,461,948,581,010,130,960,437,428,480,403,283,907,095,021,
641,640,847,366,364,932,412,934,899,458,335,723,882,008,368,519,750,703,105,
047,729,330,641,080,172,362,177,114,684,944,644,455,323,495,879,786,478,428,
239,796,969,916,527,247,257,770,139,323,317,657,703,036,795,463,479,882,415,
558,367,451,217,480,325,785,745,896,124,069,209,491,108,987,748,708,502,094,
037,422,009,754,673,948,256,864,492,802,297,983,107,429,189,054,394,037,417,
603,647,736,120,933,771,368,400,852,248,251,225,649,073,242,680,514,937,824,
098,836,764,718,487,949,665,592,043,430,054,967,091,738,070,360,172,125,746,
854,510,252,937,683,979,639,754,090,018,529,930,566,915,684,541,203,959,650,
752,352,925,130,851,942,365,877,328,187,243,911,172,655,417,583,025,785,723,
552,107,179,945,939,395,406,865,219,396,230,622,672,524,962,764,797,581,084,
510,546,432,929,107,337,133,514,729,925,423,761,878,839,338,105,386,713,737,
602,762,324,324,659,936,293,296,877,088,211,800,972,672,244,371,478,212,208,
724,742,543,055,455,569,558,090,474,476,937,495,798,062,817,568,993,724,763,
939,658,684,261,705,625,731,645,221,296,068,158,692,138,246,139,974,161,192,
859,803,249,882,805,593,462,240,175,233,935,085,507,984,484,849,079,792,608,
646,768,876,466,178,647,237,481,919,150,052,994,206,087,033,962,350,468,888,
573,732,783,905,505,157,932,962,061,461,541,629,402,545,515,479,336,785,666,
257,315,047,774,441,978,407,611,092,960,765,823,761,908,670,223,341,822,350,
306,923,979,119,539,984,475,668,789,147,908,907,165,353,965,669,088,410,059,
109,257,104,094,350,547,220,386,623,948,050,719,478,581,453,653,811,331,166,
353,035,806,146,169,049,115,711,453,961,728,275,920,017,355,804,562,964,325,
361,818,716,113,714,563,135,753,102,918,644,596,974,839,082,408,925,896,805,
084,384,973,107,494,741,349,618,268,475,769,483,634,543,724,168,632,446,231,
958,613,153,343,504,273,299,121,148,421,192,241,946,796,867,243,093,408,870,
393,151,836,143,066,231,425,511,768,509,246,775,460,515,796,129,898,093,731,
468,964,609,241,322,370,730,669,727,067,799,016,297,435,170,144,554,444,250,
199,706,803,132,985,069,173,180,131,264,713,190,750,462,132,482,302,085,132,
832,012,739,805,036,848,183,805,478,777,794,714,575,135,226,120,019,279,575,
425,849,484,936,865,650,342,940,033,338,937,038,527,858,222,986,678,893,148,
155,426,131,712,726,497,850,177,923,768,470,361,481,195,878,098,507,595,418,
831,786,255,485,230,240,839,879,040,938,649,735,296,831,591,122,015,674,338,
018,344,257,232,897,037,685,787,515,243,889,020,130,759,295,743,616,935,988,
675,723,742,726,541,614,772,539,607,625,609,937,054,024,274,658,532,989,667,
484,048,731,394,309,147,497,878,731,627,948,507,666,075,604,793,265,372,982,
476,362,999,290,655,745,657,569,063,054,101,433,923,191,142,643,990,784,846,
209,149,694,657,170,345,431,721,089,714,162,352,178,872,746,879,576,285,490,
457,011,485,038,109,179,844,134,304,344,841,401,070,189,456,774,706,216,929,
979,062,417,246,935,823,007,221,343,591,514,752,932,712,766,346,738,435,428,
300,237,560,247,132,137,520,163,101,252,252,642,306,493,628,294,163,987,878,
022,060,235,087,050,795,764,884,428,454,504,490,480,811,747,506,571,434,306,
850,652,183,386,683,015,391,557,658,146,312,308,118,276,530,176,796,012,143,
646,360,427,283,055,456,153,507,494,170,600,957,539,193,352,865,993,899,007,
644,728,642,819,263,441,731,826,999,738,561,279,806,157,567,286,991,945,276,
251,002,482,730,673,089,345,938,543,286,106,244,353,382,551,143,784,638,395,
797,571,876,661,779,874,294,559,430,773,587,938,661,021,078,857,042,671,762,
260,940,471,418,902,506,642,373,747,845,211,499,070,132,015,607,237,561,792,
422,735,030,908,235,485,319,491,400,311,485,056,613,091,788,504,458,231,983,
602,522,849,550,568,308,550,602,938,893,388,235,787,600,495,648,600,537,122,
415,724,584,342,339,497,739,553,891,140,053,622,049,224,899,104,394,634,515,
190,016,943,129,563,615,271,771,560,781,867,306,061,277,201,895,954,993,435,
693,662,939,792,061,247,184,472,141,709,623,260,713,655,790,352,787,573,953,
949,201,267,059,318,689,340,874,656,912,963,483,792,017,712,418,287,296,237,
046,500,110,046,437,250,650,672,524,159,278,045,346,641,884,814,319,866,574,
644,743,545,725,610,985,569,688,446,055,884,947,833,484,422,657,530,841,671,
398,985,015,427,130,589,127,436,187,001,152,571,410,851,326,764,549,870,110,
128,536,268,516,512,977,669,527,005,071,129,370,088,103,126,317,155,037,596,
899,690,623,132,108,970,785,560,554,988,271,620,538,717,493,829,930,595,371,
647,205,744,808,075,841,433,710,235,389,480,278,786,198,999,172,462,290,386,
822,155,984,669,603,589,979,387,908,390,044,363,201,719,316,773,067,272,447,
275,529,487,402,573,288,589,788,688,425,925,532,775,135,586,508,788,415,041,
162,700,792,564,149,736,538,727,451,967,991,198,956,611,727,625,255,542,435,
758,713,997,818,250,806,443,261,229,000,384,335,173,678,208,983,237,605,882,
813,269,617,479,204,000,490,913,136,012,850,008,734,585,913,438,629,700,811,
178,610,973,150,365,700,672,259,983,956,581,107,594,960,948,076,425,978,518,
172,543,530,397,358,337,567,335,042,394,925,909,150,875,663,945,516,928,144,
360,401,579,310,659,636,747,428,729,652,829,844,612,182,214,407,714,624,499,
770,066,243,793,878,845,491,170,212,118,413,885,026,364,029,911,667,479,577,
243,369,181,380,280,523,088,871,748,240,565,386,587,632,644,722,281,701,453,
564,559,476,749,895,177,070,837,707,725,786,637,444,752,644,196,278,114,451,
879,402,051,595,059,552,731,016,462,792,605,503,699,340,052,618,165,357,328,
790,814,479,201,332,163,039,109,827,797,104,521,860,842,714,604,734,445,308,
304,469,349,510,175,074,782,604,865,894,036,959,563,600,644,939,133,875,277,
872,527,865,713,624,850,609,660,141,075,073,904,647,958,285,662,720,716,886,
803,340,096,726,794,311,064,022,033,527,776,071,434,990,102,683,420,594,671,
477,704,611,866,856,087,652,301,560,794,205,620,710,541,839,196,951,054,288,
764,457,025,949,178,471,315,443,470,725,736,677,604,429,730,922,219,230,736,
127,094,190,925,970,558,241,994,849,745,173,718,088,834,504,037,478,504,196,
471,958,870,939,654,662,590,448,208,811,403,969,880,658,645,707,658,901,004,
443,183,025,442,150,754,860,673,276,608,505,803,359,739,536,495,059,462,385,
171,907,557,944,492,030,519,200,099,203,587,389,439,566,700,846,260,093,385,
733,290,317,080,949,146,355,641,324,439,886,430,257,047,378,646,605,571,232,
181,569,734,764,174,690,631,855,983,219,176,235,248,075,606,296,148,165,006,
645,015,462,901,885,348,909,223,795,653,877,452,697,666,481,458,289,848,973,
097,032,947,045,550,149,627,326,786,790,607,690,063,135,184,221,349,979,987,
952,244,299,320,169,356,757,749,437,566,130,143,300,336,179,728,042,479,027,
217,643,152,483,575,419,257,632,994,335,727,874,045,177,907,052,846,783,908,
356,137,211,336,051,789,239,738,820,443,831,574,727,646,942,206,906,142,532,
921,824,903,751,895,861,636,380,576,458,169,354,711,255,371,368,748,482,561,
199,871,763,199,256,453,994,531,903,795,487,871,406,144,732,085,404,797,160,
749,812,357,864,632,677,834,775,672,788,351,045,047,248,306,376,047,759,512,
918,544,374,647,994,849,876,774,735,409,056,815,725,776,863,578,954,604,490,
112,168,074,830,454,546,637,187,123,308,868,283,404,840,657,434,404,329,601,
723,078,834,835,139,680,880,062,944,784,500,741,517,820,385,528,518,217,609,
131,657,702,542,915,460,168,206,559,003,388,914,319,018,591,507,634,004,997,
204,597,458,255,489,041,866,734,706,538,408,811,621,057,547,081,343,206,734,
856,252,878,492,395,760,680,363,817,673,516,359,809,136,718,623,746,218,546,
529,937,467,950,593,270,976,329,320,079,408,651,595,463,814,446,428,391,674,
919,807,014,841,356,167,363,390,029,951,695,049,503,317,005,528,904,114,630,
735,916,717,754,923,353,360,371,823,769,426,146,927,008,540,282,641,410,484,
283,563,619,246,989,140,660,912,188,667,299,307,041,144,972,671,721,125,132,
092,701,387,722,058,055,133,531,114,944,140,378,700,352,552,401,830,197,702,
959,121,199,623,497,132,894,644,922,781,999,611,759,143,435,978,068,674,844,
582,728,167,609,567,403,508,457,190,833,278,818,654,998,773,452,968,516,158,
125,427,664,787,310,759,288,368,253,959,290,959,838,140,602,066,827,113,152,
947,024,346,940,168,037,953,476,110,330,769,719,658,768,158,845,687,485,821,
103,227,809,702,734,499,848,246,206,697,052,152,729,884,922,443,735,394,172,
427,546,910,293,696,794,732,320,096,228,895,564,199,942,652,237,464,262,362,
186,399,979,372,029,127,159,643,293,714,513,975,987,873,149,986,258,861,993,
838,091,755,498,921,571,646,372,444,183,114,574,891,184,836,766,651,566,099,
697,494,962,883,357,813,511,883,829,477,565,707,692,313,923,270,413,152,310,
849,184,264,786,647,572,023,445,492,636,648,235,971,129,918,950,526,285,826,
185,568,171,427,490,744,017,134,023,753,806,752,977,431,159,284,519,046,537,
082,909,762,126,327,501,542,898,127,165,914,978,687,564,396,735,288,776,619,
251,531,886,304,900,428,830,443,112,689,055,930,418,421,054,820,471,380,852,
993,982,887,591,660,098,331,784,535,482,015,634,348,627,342,451,052,034,078,
235,303,712,443,178,946,824,186,869,953,279,013,638,481,318,363,247,688,753,
542,349,195,832,895,436,997,682,628,991,495,249,389,698,743,379,506,947,684,
285,650,640,352,543,951,534,114,779,978,926,457,945,529,192,915,450,248,974,
325,384,164,574,004,657,650,108,352,283,061,426,304,384,248,292,886,247,322,
685,970,532,952,325,993,183,338,215,683,010,468,593,880,691,012,390,322,987,
996,882,050,625,698,611,007,190,499,554,361,975,936,493,739,623,559,063,142,
694,907,488,390,432,671,232,098,868,965,665,688,856,065,484,105,054,130,729,
915,877,493,405,545,420,251,412,307,126,936,853,823,467,746,155,991,640,218,
947,025,924,471,193,149,418,428,791,124,241,631,527,801,505,021,532,312,770,
880,539,089,863,346,105,901,436,506,501,981,330,342,860,789,167,208,265,229,
932,759,101,511,217,610,357,519,961,541,289,745,623,598,341,183,830,360,764,
387,831,729,149,924,632,552,430,133,819,725,676,307,243,636,335,331,961,795,
736,986,811,682,129,269,951,631,479,976,751,059,063,091,962,145,539,679,759,
769,736,806,381,462,697,902,907,417,297,663,004,095,894,362,748,710,258,211,
128,763,313,045,075,790,459,072,461,578,556,446,776,134,478,225,165,634,843,
199,712,452,324,434,254,510,058,610,198,555,877,573,666,653,449,209,781,792,
707,983,844,191,244,705,438,120,233,668,317,615,296,149,771,341,599,199,408,
631,985,423,411,130,128,233,342,814,067,028,666,062,546,497,683,552,534,142,
604,085,852,816,868,325,979,996,218,761,614,819,816,278,869,946,529,915,115,
007,819,828,595,778,998,855,543,152,828,772,623,395,585,056,401,798,161,085,
578,067,697,955,694,436,673,036,637,960,450,199,959,039,690,899,655,816,274,
651,824,646,896,361,932,520,531,085,402,796,582,170,686,707,082,678,366,765,
886,287,941,022,248,279,655,778,378,345,665,865,332,485,181,128,285,675,103,
607,555,938,234,328,912,104,822,880,466,944,745,102,398,801,808,960,767,906,
721,779,784,060,527,159,274,653,983,887,713,061,758,695,629,618,947,915,695,
053,069,224,066,554,434,131,176,450,831,570,396,204,177,005,569,352,098,041,
729,801,943,934,096,756,407,913,321,003,914,194,346,002,894,984,036,270,053,
016,256,497,928,644,661,548,527,195,298,194,311,737,776,166,675,826,093,142,
776,350,005,130,934,512,226,779,516,587,356,796,081,642,297,979,707,541,233,
925,379,805,298,172,615,992,909,935,511,307,475,057,460,887,258,049,386,434,
693,259,162,260,901,820,668,468,852,366,859,207,708,495,091,036,083,066,508,
053,279,268,357,028,050,620,461,962,480,192,300,527,808,905,721,742,061,459,
333,318,069,843,843,051,738,114,369,571,873,022,744,522,648,607,383,267,786,
520,817,207,306,704,688,598,868,249,121,566,463,044,444,687,275,198,166,635,
552,496,867,244,619,801,354,512,919,701,820,206,108,875,247,962,493,693,801,
423,210,672,395,819,796,845,375,149,310,825,946,355,244,038,175,644,334,276,
250,830,584,057,439,295,114,690,379,919,629,573,112,806,735,698,389,384,487,
370,242,248,662,060,050,011,006,198,954,072,865,110,252,941,725,715,007,824,
722,393,526,899,500,420,373,392,543,455,001,550,727,453,389,616,048,296,068,
142,073,057,410,148,178,203,779,730,943,391,007,092,883,983,212,183,246,024,
293,282,144,949,686,875,077,983,537,176,966,850,692,207,008,134,360,036,859,
769,693,236,902,101,818,851,227,808,247,181,415,174,945,963,940,895,597,725,
791,610,272,773,751,675,150,434,724,443,965,753,766,631,658,619,041,653,001,
722,508,270,510,253,217,989,516,006,806,598,591,521,908,821,274,966,983,063,
791,912,756,188,387,704,024,854,720,957,033,497,806,339,062,078,986,544,812,
447,845,092,628,017,701,164,771,313,501,995,110,612,827,288,665,691,180,400,
224,449,948,369,412,404,070,667,477,913,845,034,886,599,393,241,703,525,378,
702,365,112,380,440,529,357,520,214,653,122,937,237,435,817,807,218,149,176,
551,829,395,538,205,678,108,617,812,139,307,653,867,176,099,604,532,513,299,
393,941,289,542,271,476,460,130,464,855,867,904,110,106,355,634,619,380,630,
624,100,859,594,466,409,052,245,876,011,282,476,954,006,547,556,351,734,269,
217,029,903,329,439,996,604,549,854,470,822,867,265,687,753,721,772,481,861,
589,856,668,870,262,722,941,288,452,856,106,892,943,160,526,542,118,047,301,
798,449,363,216,701,427,694,650,039,569,157,110,857,349,252,458,891,816,064,
249,649,617,481,141,244,720,661,810,819,846,561,412,166,080,953,749,951,388,
278,359,445,899,747,905,676,154,734,733,555,047,932,479,946,466,134,833,868,
000,260,358,790,852,721,606,881,264,412,908,379,370,892,066,747,022,982,768,
315,404,648,082,190,795,284,924,832,639,891,516,693,717,989,817,972,104,084,
511,261,511,359,256,295,791,912,869,697,989,300,077,973,862,783,648,080,831,
851,354,155,937,927,183,416,403,411,323,526,159,861,812,434,616,226,445,753,
854,477,841,961,965,095,425,243,397,988,376,450,205,141,935,861,547,253,542,
619,449,370,498,481,064,359,887,682,725,869,798,197,829,107,344,683,537,233,
449,818,223,229,798,525,654,289,779,652,136,069,356,241,063,170,166,788,128,
985,793,061,615,052,019,843,361,484,945,480,537,471,626,036,964,736,075,552,
449,118,606,657,641,540,644,133,947,075,771,962,110,225,255,452,071,548,433,
780,044,880,867,356,391,410,310,873,553,023,290,582,753,634,793,222,451,504,
562,380,817,486,146,244,874,722,274,426,056,893,282,233,388,601,218,756,111,
344,935,915,496,807,440,607,604,269,057,300,615,485,428,502,379,036,809,867,
739,126,171,121,313,392,881,751,127,521,789,296,595,138,123,126,299,376,965,
093,894,465,225,789,062,756,066,596,028,267,075,631,933,313,745,747,034,516,
712,357,836,354,068,880,806,540,600,266,302,728,482,771,544,362,999,271,406,
779,280,854,171,993,396,177,132,800,026,105,604,044,015,375,416,395,113,163,
473,994,962,843,907,002,439,911,758,667,657,420,159,054,596,428,759,116,090,
936,095,270,922,930,919,769,865,989,416,200,051,560,166,316,705,996,470,879,
479,486,345,170,660,510,178,610,115,725,153,003,102,527,553,256,504,571,277,
901,539,952,378,101,444,289,386,733,510,062,743,646,105,734,985,337,070,556,
569,006,930,641,782,617,319,948,362,710,591,187,609,750,641,173,663,018,732,
282,808,374,371,796,369,672,921,177,532,163,838,371,455,128,718,664,901,087,
438,039,044,255,790,087,043,007,182,275,218,067,971,201,866,120,226,356,697,
366,063,577,265,074,027,945,265,082,358,706,120,003,218,536,369,580,170,287,
133,364,935,213,645,492,779,145,819,169,036,586,794,415,229,763,392,111,011,
690,495,424,477,706,271,685,882,757,949,762,472,143,625,644,409,795,997,785,
169,708,896,888,280,933,804,383,354,434,132,692,995,537,530,188,314,286,381,
644,352,293,719,910,098,073,338,369,033,351,304,928,467,625,766,058,180,877,
613,849,468,848,351,863,238,048,643,297,939,089,684,949,618,789,389,664,000,
605,756,180,176,844,137,392,703,351,016,207,003,286,041,982,763,566,916,671,
482,164,308,095,928,394,162,226,033,246,457,431,869,544,470,608,589,502,948,
236,761,553,420,995,379,284,964,855,929,737,120,695,254,461,709,687,192,681,
841,355,515,898,536,272,853,048,027,475,352,878,638,456,592,092,787,792,755,
541,778,071,199,681,425,985,394,403,457,411,339,604,561,548,704,488,328,353,
419,351,167,766,686,174,777,235,570,535,957,395,035,394,303,667,313,512,369,
715,161,533,229,461,341,222,779,782,520,820,436,617,227,713,506,876,595,645,
726,729,682,663,707,781,638,364,357,277,647,573,704,021,055,502,015,477,942,
526,984,185,482,316,681,019,567,699,459,367,415,865,682,451,815,292,967,975,
544,880,653,301,267,457,087,012,771,702,747,350,469,828,515,878,389,663,402,
312,370,395,340,206,092,528,137,120,552,638,963,636,727,238,125,251,123,540,
071,849,696,149,892,769,442,447,190,350,788,840,200,516,417,156,653,775,226,
402,693,617,108,871,290,470,584,423,738,700,827,183,437,171,691,168,694,239,
580,027,986,410,537,149,281,569,785,136,128,377,022,419,114,270,067,346,372,
612,989,314,541,886,407,854,865,377,754,178,432,675,376,047,031,267,875,801,
184,596,978,317,292,189,013,107,597,964,051,784,371,354,598,818,681,591,226,
449,555,698,203,495,752,777,559,727,242,020,384,833,328,802,699,899,242,144,
347,262,763,439,400,855,864,754,002,197,564,846,531,933,936,534,143,530,728,
191,665,508,748,075,184,774,030,159,073,569,100,216,122,130,718,244,673,098,
872,796,083,435,712,389,139,569,779,058,395,909,722,001,123,802,221,936,607,
883,391,908,516,211,321,009,958,024,563,674,547,206,543,188,899,617,795,077,
997,184,934,938,036,053,631,074,937,958,730,736,910,009,005,448,250,663,281,
130,214,682,039,005,839,135,998,476,227,534,043,194,897,249,113,498,958,398,
666,626,936,220,681,537,882,191,271,433,437,577,633,920,949,860,513,630,747,
634,726,716,698,026,149,855,461,445,361,798,776,831,240,588,597,369,420,788,
168,462,040,850,683,039,764,978,266,700,647,535,655,664,486,446,604,619,969,
984,161,722,975,298,607,308,453,585,574,285,364,511,525,605,003,564,615,193,
957,866,081,854,848,787,620,542,347,222,339,133,616,091,412,702,332,369,606,
851,374,873,872,158,431,985,509,288,362,324,972,123,147,357,372,014,989,971,
210,605,141,380,912,494,747,466,549,372,409,451,297,947,259,278,004,767,690,
891,443,849,817,385,452,615,276,672,909,297,801,160,275,252,850,915,294,824,
198,224,279,339,950,998,959,966,541,808,754,721,643,326,187,394,877,672,821,
178,521,036,719,012,582,105,082,739,120,739,828,817,902,761,391,820,484,146,
569,918,268,846,482,574,769,299,843,182,809,093,144,038,468,948,286,836,971,
185,303,591,731,591,949,853,950,776,027,319,375,720,484,785,696,581,979,386,
942,138,353,610,131,101,090,384,700,418,825,134,241,382,501,076,156,431,649,
564,952,028,441,055,796,753,541,962,487,816,218,050,591,584,017,733,548,057,
308,191,547,377,472,642,938,873,798,084,522,854,579,076,730,566,388,215,969,
950,548,103,542,557,565,918,562,349,438,149,185,514,039,946,718,844,819,863,
722,902,859,372,536,902,575,562,598,287,776,447,253,714,155,517,003,865,872,
522,737,477,586,723,152,983,479,952,377,187,101,767,406,152,493,598,191,877,
631,866,480,083,813,447,481,499,346,515,247,547,975,065,544,824,840,172,935,
235,146,770,316,009,067,788,512,741,927,675,236,049,522,819,708,931,476,585,
303,203,860,138,286,383,185,189,822,814,150,533,911,297,814,571,490,856,940,
798,510,349,174,699,569,742,762,685,090,760,049,881,344,179,201,354,439,548,
779,209,287,368,790,624,263,407,872,830,717,196,348,957,995,872,777,142,034,
201,158,309,331,657,272,705,883,670,486,051,756,783,852,484,801,627,704,346,
141,293,356,587,238,125,995,251,062,868,574,949,191,591,649,074,634,006,223,
359,249,290,304,472,524,018,174,059,609,346,055,113,941,194,112,436,456,592,
135,914,535,298,322,681,322,111,171,592,810,546,224,125,282,555,673,555,541,
341,040,450,031,341,736,278,307,499,132,156,368,963,794,490,101,306,166,685,
930,394,389,189,395,416,275,535,882,444,723,103,583,376,804,482,792,965,049,
582,476,603,275,363,194,031,870,967,666,185,608,914,062,849,913,470,898,637,
085,273,268,318,394,711,388,198,228,879,637,696,685,697,875,640,188,109,961,
984,713,757,384,332,754,058,581,638,797,584,871,097,687,540,081,969,547,125,
728,240,242,603,688,000,801,151,616,982,157,015,938,433,966,954,088,093,857,
400,107,658,621,158,246,066,450,905,651,619,935,138,856,496,377,201,813,929,
079,562,799,995,371,836,614,817,722,837,409,722,140,064,732,151,210,627,582,
436,794,386,180,099,971,997,448,014,731,966,200,437,475,022,367,007,669,339,
825,117,819,973,230,851,733,016,340,015,314,254,258,415,476,622,854,061,058,
847,193,210,227,791,717,754,567,057,561,120,957,967,727,065,899,998,077,468,
805,946,429,412,568,668,876,492,334,604,245,902,146,003,405,475,873,533,695,
107,273,976,391,483,624,951,781,008,099,053,427,867,219,410,934,153,762,141,
407,402,984,040,626,329,966,060,747,713,183,697,825,736,736,493,298,654,041,
209,916,971,619,021,966,613,177,259,849,401,376,633,170,921,001,000,438,480,
071,059,024,416,470,809,969,126,730,284,292,944,403,810,329,653,376,846,558,
205,354,472,989,643,535,316,368,097,896,138,711,835,778,672,031,466,459,801,
259,214,283,258,868,921,720,434,680,687,738,448,096,594,745,464,760,386,742,
427,021,243,906,168,843,385,178,364,710,809,633,278,659,786,451,468,769,119,
902,615,234,262,508,702,695,523,713,302,995,484,959,314,197,548,906,732,306,
313,557,425,078,764,545,459,263,829,665,674,371,415,820,253,060,482,419,508,
648,563,919,848,363,795,301,693,811,695,934,083,139,678,718,143,591,536,058,
898,224,214,705,256,980,392,058,162,222,788,566,032,559,096,950,603,536,054,
919,299,356,960,147,262,224,912,114,692,549,929,243,889,840,057,462,897,491,
664,568,869,393,545,283,366,255,687,980,476,225,381,933,421,678,724,339,064,
308,253,127,282,021,249,111,419,349,775,051,435,740,388,092,261,179,089,672,
545,951,115,292,309,925,018,680,301,453,350,281,725,548,278,658,104,562,725,
375,052,524,575,986,906,906,543,627,303,406,448,272,433,975,091,722,264,771,
688,132,613,648,400,620,557,256,283,867,444,342,280,126,739,629,659,257,471,
110,359,921,866,002,909,118,198,791,912,283,566,153,772,493,742,438,783,068,
834,358,897,199,529,079,484,470,850,353,588,334,204,759,213,054,564,126,342,
820,491,753,733,491,108,751,651,952,550,712,911,638,406,053,759,851,425,465,
070,536,933,011,584,071,001,327,257,161,110,516,464,631,568,091,823,231,343,
857,229,180,748,828,383,416,753,495,449,720,860,443,865,981,305,581,781,676,
262,371,306,112,957,812,918,441,599,467,845,878,344,937,194,857,308,242,439,
473,849,482,269,233,424,911,677,060,886,057,434,016,722,506,751,190,045,386,
992,799,759,112,775,720,446,120,264,932,149,146,698,334,187,679,029,942,017,
820,624,181,910,399,194,871,552,442,961,600,669,298,956,762,947,637,127,125,
673,862,678,426,860,478,761,112,082,516,683,021,946,441,341,032,629,047,604,
679,996,093,223,350,398,742,967,403,209,622,556,492,504,020,099,661,421,077,
826,721,307,329,689,079,298,952,355,617,788,860,898,575,964,481,923,423,058,
562,739,977,981,386,141,402,646,151,295,646,132,313,473,696,178,882,096,712,
875,482,046,118,615,610,089,633,587,623,831,175,840,898,282,244,484,288,625,
289,451,082,686,297,411,443,179,046,634,838,144,383,871,534,645,563,039,562,
094,918,770,688,960,295,695,312,142,885,188,239,049,432,463,803,858,762,517,
947,979,366,056,546,405,560,821,855,120,892,288,775,431,248,390,693,527,919,
736,135,399,235,183,727,846,669,011,020,928,891,334,633,443,452,879,713,118,
597,753,285,793,430,912,284,872,831,160,038,605,130,235,351,917,603,354,019,
048,922,824,171,543,261,525,251,509,430,393,592,194,910,878,300,581,084,169,
098,376,565,671,366,392,261,626,017,159,601,233,415,392,972,009,810,122,115,
036,798,157,141,720,572,306,947,519,301,877,330,984,816,971,103,296,644,959,
522,874,615,701,859,844,862,505,752,077,469,540,890,149,599,640,039,416,361,
145,647,151,493,858,213,001,737,869,442,584,795,581,499,766,593,601,498,256,
058,688,992,246,940,327,037,071,666,019,153,471,946,605,862,885,928,506,179,
487,770,330,640,219,403,431,435,308,342,894,986,058,395,665,880,673,905,922,
675,489,724,892,375,693,584,477,181,180,069,393,834,792,805,846,344,731,451,
643,220,874,419,369,812,865,457,791,487,365,225,885,773,560,225,155,422,239,
933,509,363,544,699,112,951,771,115,523,469,507,050,251,928,447,439,252,723,
458,322,514,716,324,760,684,190,498,417,038,914,697,295,166,584,168,691,973,
362,345,733,657,269,144,554,805,149,299,854,556,518,109,375,731,295,008,669,
764,365,829,292,405,258,993,167,486,907,021,473,333,749,640,872,096,208,281,
870,606,080,701,763,771,459,682,639,597,254,080,586,036,773,101,285,481,717,
668,389,342,346,125,940,341,252,657,724,068,816,069,887,730,164,770,790,457,
695,091,429,868,027,559,569,495,392,166,051,132,817,905,095,745,784,490,537,
643,772,980,103,931,029,520,875,084,160,761,035,579,431,936,655,098,291,432,
927,356,747,572,194,438,515,838,879,942,008,511,053,635,908,727,339,899,955,
172,338,859,737,481,611,466,317,912,698,862,493,651,050,960,564,777,347,917,
472,534,363,281,409,008,102,323,830,541,089,713,320,749,219,176,821,563,865,
899,714,286,789,547,105,039,630,061,683,941,183,594,098,509,313,989,237,471,
450,245,465,085,787,146,411,967,830,563,254,722,724,470,639,410,160,672,346,
438,094,321,097,963,506,678,482,261,133,281,905,151,103,405,555,544,323,138,
512,813,146,545,668,457,009,245,120,498,665,414,989,302,761,003,837,321,629,
081,385,601,041,090,230,665,774,851,898,923,656,441,592,410,991,494,802,033,
194,484,261,751,227,930,668,053,520,613,252,701,563,505,830,796,295,816,657,
377,514,355,028,300,689,146,530,676,018,419,809,432,986,744,034,937,158,312,
825,180,191,531,343,088,449,375,471,843,641,601,069,651,724,081,591,518,509,
634,729,891,922,624,809,153,076,232,205,165,349,415,779,388,711,110,197,141,
733,523,899,917,442,642,234,697,477,670,409,415,403,217,416,589,865,921,044,
759,388,940,163,917,187,139,976,634,599,690,901,852,537,070,308,954,423,784,
267,306,108,350,706,335,592,506,838,799,926,341,344,340,524,851,966,467,625,
712,368,953,436,717,675,010,349,494,934,055,393,567,461,615,890,715,858,331,
212,969,777,985,878,729,555,833,988,208,191,892,279,427,802,907,386,914,313,
465,995,240,738,411,140,051,119,981,726,097,880,886,180,520,303,226,709,303,
501,439,819,058,634,568,661,312,525,441,699,030,720,293,919,437,416,676,014,
173,144,743,700,061,860,480,782,357,568,104,972,116,819,653,328,626,455,196,
643,426,243,339,062,495,524,020,322,523,242,117,497,789,246,444,563,645,160,
026,343,629,781,792,713,568,944,472,081,765,620,907,210,072,176,074,703,382,
380,781,739,182,290,745,082,568,555,048,246,329,399,195,223,890,886,040,937,
896,109,831,050,616,682,615,150,666,523,142,857,351,513,555,558,817,270,791,
037,677,812,720,112,447,264,177,700,511,248,519,607,389,820,165,018,879,055,
498,260,935,557,083,599,700,843,442,739,143,896,000,915,314,753,445,726,455,
186,925,060,780,882,529,362,598,431,419,171,047,941,708,028,061,685,974,880,
529,978,488,173,830,172,527,516,411,738,038,743,286,884,781,854,978,099,968,
939,907,276,431,972,358,297,437,881,333,372,903,854,453,307,996,019,300,540,
143,262,681,500,496,373,335,636,173,194,050,208,881,754,210,596,822,870,292,
764,027,514,721,098,784,412,745,895,195,245,353,934,704,553,563,426,407,169,
520,940,525,465,427,012,499,002,487,137,387,492,408,212,878,724,903,934,668,
609,550,997,514,758,898,642,331,265,036,158,742,293,244,327,409,687,471,818,
040,968,291,393,408,668,395,143,957,545,413,635,471,524,025,034,618,950,518,
661,888,186,157,504,081,797,082,391,297,187,224,140,903,004,513,287,723,031,
820,784,941,005,447,972,141,768,181,233,408,236,484,912,912,739,027,137,606,
886,312,262,596,007,823,107,556,499,868,783,367,110,261,501,867,998,541,523,
781,201,124,425,107,509,264,101,914,873,899,820,553,375,973,108,169,241,682,
142,195,710,823,475,812,595,236,596,558,418,644,890,722,791,742,464,384,962,
380,260,837,014,815,090,835,033,347,674,432,118,936,716,301,898,578,296,360,
414,272,818,559,440,030,892,194,720,327,251,105,853,791,891,369,330,756,733,
313,677,363,981,003,202,074,636,085,664,112,257,230,538,398,735,465,681,780,
597,681,327,934,684,145,132,017,991,059,889,469,219,679,286,831,570,801,893,
542,695,670,595,259,917,729,559,529,520,234,442,181,601,503,616,262,477,986,
990,071,590,862,226,746,541,080,480,990,783,804,452,581,348,929,061,336,179,
759,016,489,096,202,701,535,254,879,632,589,205,396,175,632,261,709,434,022,
541,564,287,340,605,923,043,685,629,605,989,354,147,714,653,214,672,904,597,
998,347,484,321,602,052,945,981,155,099,483,572,249,517,326,467,732,853,140,
484,755,120,211,775,118,969,173,838,990,154,442,202,651,131,157,887,652,513,
316,620,311,362,700,171,847,251,743,257,827,815,990,723,801,125,162,472,895,
531,589,171,697,239,144,596,247,401,525,741,851,624,452,891,713,591,017,699,
913,055,548,575,646,924,393,107,861,904,620,433,914,108,148,578,400,856,194,
974,276,665,220,321,473,566,337,730,828,751,311,359,586,021,729,384,724,827,
560,558,875,544,067,866,990,961,933,584,733,882,235,011,121,459,960,001,681,
789,065,622,483,644,151,267,116,712,971,134,762,037,154,720,618,260,910,970,
974,645,415,911,865,792,179,813,564,598,917,832,544,047,613,961,726,346,835,
802,740,286,174,675,290,683,839,397,278,942,108,914,954,384,973,784,546,915,
845,298,349,489,545,783,957,753,775,116,362,301,749,775,293,884,675,606,159,
065,125,250,606,815,512,919,542,264,846,473,433,028,355,021,673,263,499,111,
994,529,927,017,825,034,690,976,327,518,099,290,969,733,525,137,432,487,561,
730,953,186,079,431,785,869,197,761,187,670,150,308,690,817,827,023,247,265,
244,512,558,536,766,387,773,922,080,854,467,096,963,247,675,556,726,400,896,
201,920,453,927,961,354,015,610,188,079,115,503,142,357,488,167,036,268,079,
469,184,502,562,124,431,389,488,580,388,994,376,612,919,842,189,035,378,669,
145,208,811,650,816,671,625,515,488,769,658,854,765,005,755,929,427,130,850,
874,256,505,416,620,752,277,351,106,334,822,179,645,418,368,224,019,130,326,
707,404,760,097,315,451,120,707,363,190,039,066,206,453,781,453,865,931,719,
176,002,932,818,556,867,222,497,631,027,393,718,405,887,617,141,382,826,819,
136,332,426,308,228,120,428,291,333,123,085,822,348,712,294,888,235,149,319,
297,210,843,527,413,997,245,470,304,955,789,708,815,030,248,922,168,517,677,
204,986,347,469,828,829,980,508,627,588,129,668,645,999,191,266,088,106,841,
895,824,956,490,273,149,084,130,616,734,837,590,354,721,931,146,991,188,413,
714,381,497,065,134,659,408,730,319,601,405,855,339,237,363,319,716,674,951,
257,044,846,983,346,556,718,020,187,431,050,010,399,205,411,236,876,259,957,
497,152,373,621,077,624,325,326,365,248,846,525,564,329,512,328,307,199,213,
638,648,825,522,833,015,046,854,307,565,223,334,506,825,384,328,521,510,287,
218,935,437,490,005,020,291,152,331,784,253,610,769,998,278,911,527,888,985,
242,847,790,748,633,713,224,152,137,322,733,347,602,267,313,167,441,251,008,
244,734,887,173,486,154,504,687,271,065,047,656,973,005,895,694,122,449,196,
290,106,201,113,677,201,679,765,185,310,084,826,962,024,247,808,882,173,228,
889,265,738,709,997,726,755,484,589,361,211,081,413,225,801,629,392,614,058,
313,541,391,933,855,748,841,887,045,657,327,972,489,769,948,501,259,504,607,
024,490,744,940,603,505,656,176,477,081,996,071,038,824,744,510,117,727,101,
340,011,309,786,526,926,207,786,495,405,572,415,557,506,602,515,757,268,794,
533,537,111,262,430,890,832,383,902,147,108,274,545,671,048,769,563,271,934,
932,159,355,200,746,224,259,899,545,198,269,616,977,795,998,364,340,135,770,
987,087,699,971,904,727,230,357,451,505,623,239,284,022,894,134,438,934,741,
238,560,060,716,726,400,168,254,491,486,169,951,631,572,952,471,111,177,874,
915,301,639,173,768,275,825,018,751,798,540,101,081,605,453,574,189,179,136,
512,920,468,035,534,192,589,409,830,455,453,609,241,469,468,830,713,404,789,
901,067,396,070,432,602,372,874,146,481,379,828,292,350,265,490,216,958,364,
112,562,559,948,296,500,075,338,609,419,047,358,900,903,262,141,177,282,853,
005,716,637,531,989,347,784,284,103,717,835,243,634,488,626,988,336,569,925,
452,918,236,511,111,332,602,302,599,830,878,094,144,411,394,016,975,964,592,
624,571,725,147,478,369,807,554,244,410,968,491,919,627,052,066,920,581,129,
391,410,153,414,582,038,072,642,408,580,195,673,426,076,048,936,240,077,408,
507,661,513,838,214,375,686,699,208,518,367,459,532,008,383,554,381,692,750,
698,032,654,056,987,273,284,055,706,004,043,235,348,568,967,719,866,460,153,
321,620,817,330,750,640,423,935,671,706,182,106,900,668,004,211,737,332,162,
770,562,987,423,563,992,985,546,664,041,284,574,682,890,900,954,887,854,398,
163,767,136,999,077,605,320,457,621,697,682,883,151,646,471,206,955,496,484,
040,866,613,497,416,086,354,391,158,753,369,203,142,436,370,326,681,714,256,
159,460,271,172,564,103,233,637,375,123,033,380,433,515,226,712,460,865,182,
384,734,957,867,141,879,462,710,542,179,759,550,979,678,144,793,543,298,546,
286,353,735,191,396,947,469,959,573,613,314,150,417,156,357,924,503,810,967,
846,019,229,172,919,331,548,890,087,328,439,681,042,352,720,615,111,413,246,
528,093,458,623,748,614,277,412,111,154,716,889,313,244,543,404,040,023,440,
261,540,200,774,101,918,070,987,002,800,975,757,335,679,412,589,376,442,138,
213,456,299,818,228,617,011,903,918,170,381,504,205,325,858,282,040,036,025,
031,289,463,691,785,768,003,741,124,282,700,930,092,724,026,349,017,231,048,
238,397,337,528,974,151,351,887,611,578,695,700,381,294,914,317,674,692,253,
297,523,340,121,647,176,259,483,907,060,103,825,993,207,333,294,291,112,427,
488,060,938,203,106,103,918,637,361,922,794,938,626,286,080,639,493,103,149,
701,538,095,589,271,845,785,862,518,508,849,062,968,817,145,382,343,996,792,
856,955,302,425,488,969,511,696,021,348,390,801,622,181,663,166,095,160,446,
185,116,398,217,431,353,560,511,519,152,264,247,807,118,918,299,621,727,563,
440,973,112,459,377,113,777,659,718,882,260,630,782,251,576,885,058,288,065,
978,890,303,521,083,240,715,844,286,708,536,030,525,001,222,921,219,492,319,
984,072,990,903,504,693,520,844,759,848,506,405,500,985,697,914,639,641,879,
839,818,565,045,679,418,421,605,674,237,304,766,292,220,004,302,291,617,464,
085,903,006,082,362,221,708,787,798,529,927,047,034,420,814,413,793,139,467,
958,834,354,708,719,987,842,330,387,897,246,262,724,199,142,000,869,106,543,
059,030,055,971,368,365,007,470,921,879,662,582,785,890,898,117,445,849,001,
954,426,354,601,749,345,772,798,121,406,265,388,407,527,887,231,842,596,841,
325,014,288,894,316,274,317,112,479,361,707,119,515,031,244,824,729,623,094,
960,689,861,412,298,975,367,037,933,503,966,254,825,766,273,722,843,198,896,
638,420,777,268,929,202,432,072,085,458,898,412,702,467,855,768,814,728,524,
466,330,355,682,441,843,880,695,757,337,711,964,316,851,810,653,695,741,761,
702,773,467,039,271,653,940,139,821,998,719,187,223,463,873,561,995,295,172,
840,472,243,987,485,984,410,369,906,978,339,102,138,703,128,132,133,731,606,
485,040,886,455,601,162,607,063,631,142,145,697,736,030,281,031,655,443,056,
338,735,289,187,040,440,344,206,067,031,956,266,333,394,057,664,356,530,035,
763,217,619,145,857,124,769,948,236,300,511,068,719,784,198,541,867,687,284,
833,797,497,035,767,599,896,622,167,843,451,711,923,727,305,870,421,195,948,
582,890,066,429,186,622,411,261,542,476,765,374,788,226,017,064,159,533,038,
864,387,842,211,725,621,634,815,554,071,281,154,383,983,442,439,808,168,931,
552,975,979,422,696,655,627,163,848,621,790,406,623,036,031,994,974,411,058,
327,844,399,376,694,709,614,550,911,433,550,892,894,258,542,919,868,299,550,
046,463,141,707,406,794,554,022,856,676,579,060,509,203,691,309,767,778,444,
060,107,242,224,411,877,504,482,838,773,588,556,673,060,122,731,066,397,813,
966,821,255,507,842,356,072,018,989,278,723,119,342,474,473,870,513,936,620,
059,733,635,739,554,995,488,552,355,259,097,785,066,697,920,545,914,542,108,
882,710,415,448,608,025,143,302,597,104,675,656,141,968,049,233,693,911,983,
912,567,178,613,298,494,571,209,156,244,874,539,578,513,438,473,031,115,354,
936,140,818,432,630,815,570,654,325,132,416,966,837,859,246,827,045,506,569,
631,673,284,750,962,190,903,935,168,137,156,346,712,181,948,115,843,451,105,
649,225,899,303,123,002,695,130,287,550,484,410,304,331,238,561,264,611,283,
242,864,978,438,294,714,957,266,049,634,949,468,342,387,488,908,880,666,770,
911,881,509,788,129,576,991,645,800,155,082,589,411,325,003,676,551,458,353,
859,721,207,314,066,282,790,363,125,091,581,424,307,868,980,035,293,331,066,
523,757,751,483,704,103,919,648,961,205,703,423,054,406,102,125,716,720,046,
083,391,186,710,003,350,101,521,729,621,055,791,580,339,489,526,713,644,315,
119,785,529,479,906,097,327,292,310,611,650,614,842,329,513,153,608,100,557,
451,128,609,119,091,530,312,996,208,478,311,743,644,883,012,945,547,727,796,
723,275,158,948,405,075,467,033,684,932,131,041,415,712,309,859,797,041,441,
042,912,406,537,926,040,442,644,624,312,491,153,834,715,954,092,194,372,945,
119,893,455,012,017,653,086,505,937,999,568,381,634,070,179,918,121,659,094,
542,751,442,078,164,947,809,503,070,552,201,562,750,345,637,809,796,321,402,
406,282,219,166,179,822,756,577,462,398,926,761,898,614,920,194,618,256,989,
702,845,661,373,837,548,350,768,984,310,208,754,080,388,189,286,987,342,237,
382,882,265,004,024,137,777,044,867,500,681,395,720,937,669,147,157,357,736,
661,578,184,798,691,005,546,678,000,333,973,069,404,732,124,071,620,312,990,
350,399,723,008,780,442,315,766,468,528,984,479,137,055,847,280,718,876,256,
959,843,576,523,195,804,309,536,653,441,160,255,577,820,769,789,929,206,435,
124,459,660,866,864,577,462,926,115,484,703,699,029,737,773,183,116,988,130,
585,296,484,695,349,636,625,800,684,395,461,497,409,523,416,377,174,566,185,
189,036,555,165,506,456,404,994,582,979,450,396,354,586,984,966,473,925,654,
963,236,055,689,182,105,813,680,493,006,821,118,660,772,494,706,593,448,465,
911,729,335,669,998,299,260,867,254,915,823,258,821,897,980,083,515,986,096,
551,983,798,222,698,892,998,932,925,045,795,670,101,674,614,484,699,088,599,
778,491,153,638,614,692,239,722,004,577,875,038,888,383,395,195,182,894,468,
459,090,529,990,606,782,252,689,919,478,569,216,538,239,498,652,616,455,521,
894,982,364,759,276,480,228,331,121,115,232,494,117,760,765,470,692,891,648,
550,360,875,101,146,156,564,589,142,584,512,792,744,725,762,838,863,887,033,
580,566,508,425,939,409,051,034,180,626,136,615,997,102,328,274,729,910,656,
228,273,630,246,161,925,934,951,192,872,722,631,934,856,142,707,546,646,159,
556,288,370,308,042,402,418,444,893,360,175,934,826,691,411,558,021,665,574,
029,259,099,188,255,627,591,390,648,672,048,527,545,827,749,158,362,583,451,
187,107,260,204,238,853,931,862,637,889,260,003,034,165,074,143,594,915,167,
888,024,291,180,281,142,579,797,139,976,584,756,141,227,779,923,933,448,848,
501,789,110,391,026,734,561,378,511,305,545,882,607,488,586,038,025,320,701,
400,770,096,057,358,584,433,951,588,090,136,506,138,707,306,652,881,238,891,
894,250,856,785,957,833,118,150,986,304,681,627,583,536,693,186,393,886,549,
985,099,984,723,718,109,363,547,971,456,964,894,254,534,808,563,615,854,107,
828,568,947,601,263,404,689,172,192,376,060,183,890,628,898,838,982,460,542,
883,079,601,259,587,590,174,863,653,402,429,892,062,423,036,927,980,111,975,
345,874,491,898,565,818,875,324,385,410,840,372,546,789,493,075,666,026,990,
945,418,090,546,535,051,875,328,621,433,337,778,530,202,180,606,017,074,336,
099,256,001,252,959,406,671,707,696,180,774,687,179,584,383,790,594,464,579,
786,810,911,534,129,986,935,686,180,383,479,826,225,165,210,919,548,535,840,
896,051,850,745,612,909,681,704,484,351,641,054,592,490,711,935,282,996,358,
711,445,812,995,856,544,116,755,409,197,909,426,157,638,721,328,192,230,197,
638,247,768,782,769,769,726,343,919,179,092,089,847,712,325,785,718,268,505,
895,719,520,816,589,456,815,340,483,048,959,513,680,428,349,376,661,998,570,
830,650,096,502,924,805,520,577,022,877,851,416,517,554,809,005,634,975,241,
009,413,332,206,901,036,037,622,982,191,937,589,016,960,591,429,881,910,534,
802,172,364,893,881,991,393,717,758,065,538,466,390,211,670,725,135,515,872,
466,859,254,053,337,136,735,538,588,131,476,483,202,995,968,971,255,545,513,
969,074,677,448,189,431,170,430,463,137,120,740,091,831,241,165,559,703,364,
193,229,500,943,637,210,670,451,469,021,266,242,601,574,348,115,120,894,984,
150,695,191,680,438,042,753,598,644,478,280,168,592,897,709,786,317,415,881,
064,922,278,899,820,253,188,197,574,444,855,573,554,294,078,966,399,510,292,
295,319,282,546,515,324,945,884,700,396,926,908,017,853,639,909,892,999,520,
640,868,121,171,504,058,891,446,156,331,352,448,717,045,105,748,761,571,900,
296,095,203,238,656,541,336,258,793,134,897,497,051,819,117,676,721,649,909,
571,771,839,055,054,270,175,069,088,816,737,968,462,922,249,452,218,657,223,
770,687,704,240,671,515,615,364,246,715,529,251,876,694,950,140,399,775,976,
746,929,283,478,363,230,000,510,371,791,971,799,461,598,533,559,247,621,110,
765,178,736,308,887,940,863,100,476,760,189,770,935,853,239,974,929,592,783,
928,896,039,790,339,369,386,938,077,494,346,880,144,278,752,338,652,109,463,
800,348,884,228,896,989,988,889,652,768,576,811,460,474,607,076,331,687,678,
260,235,199,014,467,307,521,547,251,648,388,888,322,196,263,767,421,959,072,
645,205,194,372,151,311,475,044,068,766,834,850,576,741,507,856,955,147,460,
888,537,482,217,476,491,459,075,861,558,777,869,889,236,054,470,670,101,349,
949,639,036,700,756,038,366,685,087,496,194,299,733,673,820,405,168,639,606,
943,099,587,334,500,924,731,590,764,991,558,137,552,992,781,256,653,968,063,
671,071,764,689,230,518,868,581,882,188,568,650,576,389,762,761,572,925,454,
811,255,199,161,630,884,142,384,056,140,314,511,815,746,842,549,491,816,014,
953,654,033,694,842,918,117,817,925,985,305,044,241,074,907,647,910,841,989,
901,135,895,148,947,985,378,063,796,999,413,798,785,553,770,803,573,703,484,
786,100,556,957,084,332,156,760,200,991,664,020,725,766,823,485,414,692,120,
411,164,186,550,183,806,645,732,556,024,783,093,885,312,854,433,942,781,857,
282,806,626,583,625,366,947,886,356,958,439,387,132,423,778,256,042,547,975,
178,651,357,841,352,923,942,024,945,559,406,200,968,866,070,763,420,243,187,
143,050,884,313,342,665,355,998,180,970,915,413,136,355,323,239,748,117,167,
835,947,255,550,554,400,372,599,233,304,782,508,031,040,270,496,490,878,423,
468,930,165,459,225,020,824,957,717,610,165,008,909,403,709,453,785,504,687,
641,438,415,264,730,649,331,278,815,346,613,053,565,111,129,210,378,631,311,
627,136,885,000,189,977,324,588,265,254,112,443,045,726,419,429,833,388,201,
017,709,704,247,291,330,023,790,142,700,170,940,538,309,053,154,816,839,013,
664,936,693,110,871,217,697,947,763,941,568,595,697,238,611,072,154,668,376,
062,514,569,877,360,027,746,987,380,710,720,412,541,970,260,490,024,250,191,
948,316,259,871,064,871,630,875,252,854,008,872,353,556,259,046,950,064,550,
865,965,261,118,440,894,711,722,008,469,955,015,034,409,292,675,280,532,649,
835,765,282,370,826,660,722,727,294,775,633,219,804,468,546,428,112,183,626,
288,761,207,889,627,378,394,476,035,796,677,857,131,071,533,353,435,568,902,
568,781,255,868,463,378,421,723,316,801,794,410,548,465,887,675,818,478,919,
069,189,740,725,478,410,688,390,723,150,698,823,457,755,741,798,462,454,991,
744,449,831,460,187,647,864,746,681,881,440,766,394,014,026,973,691,339,335,
045,556,650,757,018,169,255,220,023,914,454,809,383,426,875,193,732,010,054,
067,996,481,876,418,570,818,772,878,918,554,569,709,429,826,924,290,021,775,
478,247,518,632,951,559,057,357,363,389,740,227,860,204,836,121,348,492,337,
303,222,393,447,932,647,432,538,369,606,898,875,635,492,019,946,121,272,022,
089,373,980,457,464,271,030,305,867,153,025,456,792,538,061,110,222,931,858,
009,101,276,235,889,245,022,129,559,299,023,685,221,307,534,721,599,904,549,
367,120,989,550,349,298,962,802,921,303,076,741,302,856,689,464,382,102,335,
247,141,855,898,226,269,942,515,784,859,579,973,261,596,427,087,709,147,186,
796,494,257,226,056,065,264,240,480,422,491,189,350,465,673,342,392,763,707,
939,415,506,736,400,391,340,613,869,015,490,559,181,973,504,997,843,075,192,
916,265,270,310,379,132,671,986,584,605,490,872,007,343,373,563,556,168,761,
626,241,881,524,194,723,146,681,350,182,874,539,837,754,112,196,000,268,311,
063,364,375,662,730,293,787,349,290,781,145,666,668,510,447,112,471,004,221,
689,853,875,287,288,128,176,246,212,067,532,348,746,363,551,196,239,164,194,
607,609,461,576,646,416,731,577,985,761,925,866,471,031,549,876,217,471,709,
363,398,259,545,411,165,467,409,353,569,998,208,962,651,470,049,146,332,757,
642,871,098,088,337,390,222,003,326,296,812,362,947,076,389,066,841,677,693,
863,862,950,529,402,227,715,715,768,411,501,638,460,797,421,971,815,847,884,
052,194,560,421,784,545,369,110,558,791,921,660,424,820,347,196,478,670,540,
395,304,399,521,713,438,389,461,872,051,765,839,534,899,833,451,787,148,250,
559,769,510,850,097,905,872,790,138,467,719,746,870,548,234,253,529,184,663,
790,934,107,820,808,498,092,286,641,407,849,226,571,992,906,311,713,579,614,
928,050,065,151,559,163,381,076,167,898,159,447,207,877,986,490,409,844,102,
196,883,172,836,760,059,425,562,084,300,602,049,800,150,189,047,274,754,930,
953,130,776,129,582,203,677,811,786,964,025,367,521,004,455,817,134,069,411,
344,244,262,789,594,931,427,142,427,459,200,632,823,165,354,298,637,651,987,
565,811,408,159,023,306,117,514,159,723,918,066,798,985,804,880,416,727,187,
537,058,485,808,076,057,405,448,877,101,661,677,158,008,762,747,248,120,072,
012,268,439,289,932,170,406,042,577,177,735,712,692,167,792,930,514,026,048,
786,769,999,559,426,807,835,322,459,393,116,323,717,943,112,646,948,981,369,
696,649,508,907,575,454,248,301,953,478,351,913,484,304,277,221,076,813,425,
846,885,613,175,073,062,633,933,251,551,211,878,014,824,122,890,994,626,702,
123,144,301,111,624,774,271,622,893,505,708,671,253,925,112,173,324,504,832,
378,788,404,732,553,232,995,470,100,075,852,976,630,452,399,287,631,153,420,
997,451,294,382,967,244,651,608,331,723,412,822,763,850,537,391,414,287,214,
363,604,671,988,373,501,714,043,411,829,785,431,630,276,906,887,882,510,360,
784,923,402,412,570,428,137,264,629,184,549,167,268,348,732,269,837,615,572,
473,245,958,677,550,841,077,017,563,443,887,157,877,051,684,556,108,913,801,
749,648,653,351,960,857,412,309,102,578,607,713,781,080,131,226,297,944,392,
680,450,633,481,955,948,217,930,197,204,679,039,794,752,130,362,056,085,354,
179,914,077,745,985,854,419,758,563,638,040,111,199,757,445,212,181,144,816,
731,237,498,421,505,241,992,505,855,960,805,060,738,417,025,717,100,291,881,
803,642,731,208,929,494,049,293,887,723,305,827,782,065,281,295,954,301,498,
996,728,506,964,995,258,659,006,089,255,173,315,752,827,506,256,415,444,989,
905,598,894,221,340,212,522,059,552,997,038,739,085,786,058,791,863,757,020,
401,533,014,559,401,235,457,377,445,637,370,130,074,195,595,183,469,721,098,
037,015,488,661,082,723,688,424,442,141,009,302,052,105,835,587,119,988,522,
520,755,273,212,460,205,374,784,120,976,944,652,471,725,791,469,031,527,812,
860,469,015,411,196,943,439,584,841,964,602,676,287,275,312,568,554,385,867,
953,581,231,189,214,904,601,283,276,271,457,909,600,833,433,705,167,002,384,
844,969,211,323,462,783,467,270,691,472,198,191,348,122,360,634,093,903,289,
280,647,039,165,606,123,980,082,360,948,784,600,279,656,103,708,628,226,322,
398,283,010,006,715,132,943,956,336,703,204,988,987,814,123,834,832,962,406,
742,223,895,603,688,475,292,248,980,235,541,052,713,726,797,750,907,816,208,
688,881,732,528,534,396,908,363,802,709,059,474,298,251,319,480,601,508,789,
256,022,481,509,070,340,772,657,598,160,575,651,559,773,599,391,400,596,427,
841,403,260,954,184,825,498,895,548,151,592,990,475,979,229,763,276,088,994,
956,272,172,379,948,573,936,992,270,781,117,621,440,147,818,238,229,961,570,
746,961,287,753,341,001,160,016,404,956,568,903,280,195,688,066,142,881,848,
061,148,973,948,817,762,311,446,827,116,867,761,837,051,807,865,140,545,765,
870,116,038,062,592,094,337,338,257,811,060,153,384,721,480,259,406,022,532,
822,385,040,906,713,568,623,979,284,601,745,273,282,095,407,317,102,547,831,
299,748,090,725,180,634,723,035,776,519,284,167,448,399,850,392,943,794,226,
573,732,307,755,899,775,268,885,536,432,618,719,411,660,862,839,567,088,949,
542,943,489,646,879,650,297,690,887,283,650,142,544,687,229,026,036,373,464,
623,807,191,741,772,611,329,618,939,400,516,192,942,899,269,428,235,950,004,
349,834,683,293,409,128,041,836,919,118,099,520,907,329,089,062,847,632,488,
191,930,546,205,479,157,887,529,852,630,401,994,229,722,286,550,460,537,628,
129,128,252,736,755,536,752,899,213,195,866,178,279,853,076,707,166,344,037,
533,742,023,723,587,423,929,160,999,977,904,422,465,025,338,290,323,762,089,
198,042,439,293,147,885,110,032,739,645,384,861,011,539,270,478,576,662,401,
847,352,880,655,031,466,179,231,690,523,092,481,239,837,666,577,989,420,426,
420,482,042,356,402,123,490,139,203,502,705,746,276,216,019,497,174,330,137,
948,631,005,782,127,394,027,959,424,041,973,759,590,588,923,270,079,648,299,
717,171,288,121,141,322,208,250,182,714,541,356,883,785,479,999,047,000,290,
272,336,724,973,192,559,533,189,458,192,572,753,914,049,003,731,880,054,777,
216,059,552,191,659,460,066,604,477,524,863,094,914,140,703,869,587,762,709,
952,119,787,847,534,533,140,300,840,223,070,970,019,785,336,330,620,908,447,
643,884,442,035,318,988,323,004,690,555,952,137,555,424,064,215,817,124,943,
111,837,105,511,225,170,598,677,521,415,826,463,081,546,528,706,362,100,987,
349,457,259,188,936,928,700,612,429,148,392,387,340,122,653,269,757,608,741,
574,797,224,122,014,727,572,579,638,555,758,393,249,564,271,136,146,557,465,
197,497,435,624,628,854,811,956,317,202,875,252,271,731,834,479,559,893,150,
264,055,369,742,725,501,302,355,065,110,773,499,046,800,846,014,174,272,341,
380,848,202,677,937,854,254,805,430,122,953,763,746,768,496,156,048,578,988,
987,829,356,148,013,942,514,800,278,352,999,304,671,186,428,627,802,896,945,
400,720,650,730,165,355,118,605,207,508,354,907,998,673,120,824,551,749,094,
575,079,665,323,012,376,390,100,388,384,722,181,337,799,525,437,872,503,383,
173,403,303,374,188,612,117,050,012,740,924,513,209,489,897,493,030,152,492,
249,167,999,278,181,697,370,534,755,658,252,622,469,805,958,459,827,811,618,
160,803,939,973,896,826,277,200,845,689,070,683,883,694,383,479,956,237,490,
602,909,294,730,138,892,134,050,610,803,657,604,645,830,095,727,973,960,560,
785,413,718,851,802,251,973,475,159,203,591,568,798,113,393,510,024,343,963,
294,161,372,173,005,539,053,083,366,935,592,938,737,945,863,671,159,673,270,
525,568,750,882,311,602,757,328,015,634,286,663,949,447,305,489,993,706,079,
788,384,067,374,730,151,110,181,691,366,914,163,818,930,005,678,301,468,241,
328,863,434,199,455,306,303,059,398,565,963,805,770,451,049,196,046,504,192,
580,989,394,963,925,371,736,873,238,189,130,444,838,417,516,874,124,532,287,
286,828,962,659,549,501,693,262,007,137,011,373,953,492,798,899,205,132,810,
968,786,482,867,546,558,867,174,347,354,936,945,236,172,274,022,413,349,726,
986,178,507,307,978,506,102,168,268,518,386,538,840,882,163,161,871,340,950,
473,209,775,892,223,037,155,465,240,500,207,272,498,337,521,930,090,600,173,
187,537,702,153,981,892,408,932,525,547,264,034,235,155,348,380,920,589,101,
289,608,879,464,555,690,139,087,982,768,919,148,157,620,015,201,421,132,749,
495,242,606,004,038,679,193,850,175,958,366,103,543,276,983,840,216,635,059,
018,181,648,988,055,907,660,815,915,206,390,427,244,419,462,529,138,319,954,
014,032,040,269,180,876,411,290,939,276,643,158,354,112,622,530,678,456,605,
083,148,689,604,704,118,228,115,256,419,917,169,412,079,620,986,891,646,253,
409,581,221,970,105,342,171,833,147,007,945,058,449,418,464,530,453,724,161,
706,443,603,752,311,837,522,187,203,739,841,647,985,005,116,448,607,370,215,
831,636,409,162,482,239,831,120,118,259,503,126,707,124,988,507,438,803,325,
700,245,169,207,103,571,131,842,121,141,698,411,110,877,275,440,832,650,720,
596,904,023,243,767,232,852,897,336,724,805,810,050,486,315,860,751,911,137,
382,120,484,350,591,092,126,916,835,178,593,947,129,221,539,616,938,174,500,
836,788,468,441,234,678,401,400,621,151,165,080,051,084,563,233,778,544,633,
505,687,051,252,469,215,119,848,727,831,503,155,828,799,191,456,705,455,341,
832,942,159,433,031,920,790,836,498,234,130,190,982,875,220,723,672,712,975,
380,251,800,546,596,215,692,608,898,192,860,757,749,359,186,931,630,161,751,
392,523,766,771,357,486,479,756,796,347,217,474,881,120,758,317,059,414,719,
762,872,562,099,694,700,837,255,767,397,459,634,010,479,097,062,503,473,819,
458,927,491,617,225,999,462,377,474,381,358,035,059,041,138,866,333,593,212,
027,897,832,416,698,387,027,285,509,132,305,906,903,663,423,454,462,157,698,
061,810,647,860,916,694,560,852,393,422,732,745,532,516,550,462,127,303,684,
994,844,990,421,372,569,721,289,465,973,703,600,440,600,257,258,139,852,535,
681,905,021,991,665,345,275,957,680,040,976,844,139,513,824,016,500,461,734,
165,202,797,245,160,004,885,605,018,905,928,361,814,763,121,579,776,788,477,
395,275,959,749,643,559,153,513,731,777,816,291,019,323,367,291,231,467,136,
750,062,892,261,600,842,103,648,312,365,160,900,774,610,462,359,433,091,170,
788,570,664,698,474,274,445,169,371,738,763,376,070,833,157,752,852,500,925,
898,759,349,538,605,861,370,857,766,179,223,702,336,794,796,519,092,777,997,
540,656,821,631,569,984,805,466,683,748,445,532,986,486,550,353,430,939,859,
394,271,411,283,609,592,646,160,899,491,899,279,009,985,587,809,920,017,149,
222,079,793,940,796,896,755,042,213,104,876,225,123,845,881,548,055,832,234,
926,726,308,183,624,985,690,541,938,336,371,669,172,102,035,591,913,866,559,
601,246,320,591,633,081,536,526,824,786,899,088,851,176,136,515,926,541,344,
571,082,935,728,929,397,985,899,214,135,496,109,919,783,464,034,588,748,886,
534,625,920,944,011,840,005,948,470,993,127,377,604,987,457,628,061,637,022,
629,733,558,184,026,969,030,530,596,458,076,022,341,096,211,205,990,926,938,
838,554,145,029,639,904,656,250,505,455,163,326,847,841,360,278,717,128,211,
145,651,388,928,113,663,584,679,245,900,989,045,122,721,515,555,419,811,109,
477,041,710,124,456,074,932,038,190,635,837,003,705,834,428,087,966,100,613,
000,356,457,473,152,251,328,788,515,098,277,624,365,902,735,538,584,893,837,
802,156,100,114,354,618,277,144,151,758,199,742,902,871,743,518,954,937,977,
134,422,094,328,392,279,782,174,510,002,473,066,168,422,367,855,377,980,144,
902,565,210,066,087,476,891,718,012,964,809,554,169,008,491,097,732,500,961,
951,126,073,323,076,972,886,300,486,835,826,350,258,751,406,246,769,282,803,
991,445,610,180,852,012,673,538,687,290,397,280,635,959,194,495,498,111,844,
917,283,625,587,983,339,640,123,428,187,452,913,341,152,359,800,480,316,921,
710,327,316,443,219,442,073,558,777,938,403,370,272,291,624,059,295,021,303,
362,928,589,060,547,923,170,760,989,538,682,558,463,456,154,488,338,175,884,
615,857,449,882,534,937,955,057,075,115,834,224,294,027,342,553,570,904,166,
395,783,420,492,464,094,813,323,977,481,607,517,120,260,560,642,603,369,203,
609,609,781,664,916,843,304,533,340,049,165,584,767,716,653,868,522,806,682,
367,095,925,895,178,186,523,568,114,879,981,252,050,153,301,215,644,851,467,
334,380,602,637,686,722,134,122,007,390,868,609,005,839,174,966,236,996,680,
082,934,878,494,026,449,349,686,189,796,641,348,115,477,932,763,279,154,121,
658,688,597,767,445,202,638,294,930,963,709,659,955,220,436,950,513,310,072,
680,546,083,595,722,296,198,604,281,338,655,913,624,352,955,363,515,731,328,
969,693,760,110,843,899,820,991,567,431,157,026,699,161,927,273,211,350,675,
220,376,682,160,400,288,926,952,272,771,384,201,259,236,851,436,050,510,143,
115,895,809,303,661,735,755,596,977,304,640,567,972,247,616,309,454,257,714,
945,484,288,174,271,956,222,567,910,410,148,449,291,981,992,993,523,424,990,
574,698,816,850,380,402,427,970,201,927,260,188,765,081,740,704,644,681,699,
938,941,871,222,702,137,788,756,519,929,031,643,686,978,541,184,223,538,251,
954,515,811,321,099,528,133,230,126,934,667,763,713,117,592,112,671,412,788,
783,054,104,354,915,053,436,510,442,416,842,649,521,439,167,622,099,429,617,
138,652,804,304,179,140,431,316,288,336,690,589,645,312,352,465,692,382,780,
633,372,864,392,072,681,247,410,898,836,515,159,416,580,484,262,926,085,531,
286,252,425,039,823,239,173,206,637,826,933,909,325,946,582,902,415,038,872,
938,746,067,426,109,578,506,559,561,129,881,228,365,232,075,692,895,704,002,
760,933,040,190,521,410,295,992,211,261,660,842,478,704,807,473,040,744,947,
657,512,378,654,918,163,492,141,669,653,886,636,848,119,701,557,169,716,379,
745,301,271,492,361,676,888,720,632,206,674,799,870,828,960,341,011,951,519,
086,654,965,022,901,414,789,658,939,354,992,858,141,796,771,333,240,420,353,
189,751,333,280,372,107,366,883,960,611,323,592,588,145,768,721,083,280,103,
318,484,063,268,179,911,211,751,169,363,163,088,342,175,275,789,468,852,400,
692,418,567,573,606,448,176,191,617,398,910,621,971,581,421,570,448,971,400,
114,531,587,025,010,171,635,536,306,800,403,607,479,129,521,387,268,590,251,
040,364,032,929,695,318,582,860,977,853,985,022,641,775,278,266,124,879,284,
033,521,447,669,663,665,000,910,052,268,774,955,060,315,500,711,470,001,472,
034,976,007,434,214,966,156,830,553,137,331,744,053,519,823,849,451,915,046,
337,817,745,206,985,345,011,583,907,738,448,608,179,004,210,629,195,112,556,
918,606,400,493,633,646,965,990,964,628,668,876,125,110,750,274,931,468,553,
015,563,297,130,371,867,673,973,608,700,612,641,903,981,140,237,611,123,306,
215,721,466,192,350,426,724,155,059,142,293,151,540,904,816,292,201,586,812,
758,935,962,166,344,942,363,286,752,301,933,624,313,613,646,861,978,281,643,
918,728,385,034,582,860,110,279,383,288,595,944,404,027,721,839,324,886,303,
214,873,296,526,561,515,651,852,735,656,074,284,700,591,028,484,040,577,251,
559,854,495,254,213,327,513,979,559,038,548,746,217,765,313,347,394,463,980,
025,801,442,722,842,357,665,310,590,461,209,839,334,558,222,992,176,124,842,
478,644,016,329,859,121,996,078,687,796,773,587,743,042,485,179,605,167,002,
642,519,974,621,532,614,549,803,239,338,613,462,264,823,442,585,238,729,575,
188,824,932,780,349,838,782,921,298,243,846,792,275,360,891,497,441,160,689,
618,958,742,437,863,460,711,590,374,252,857,340,091,034,050,726,678,735,160,
618,003,265,503,539,085,866,571,666,643,663,279,699,241,502,631,317,300,816,
115,641,141,660,055,815,035,415,096,492,320,196,973,026,850,596,690,182,674,
375,136,152,383,978,304,160,897,363,551,314,451,959,394,255,949,758,891,209,
879,399,332,946,043,796,919,544,233,660,400,354,950,269,046,740,551,186,267,
740,765,633,269,678,277,135,863,387,667,286,539,305,757,974,323,389,892,561,
330,484,996,951,365,527,853,695,647,913,634,641,512,814,433,784,597,993,709,
001,529,613,185,487,657,169,482,839,822,007,407,503,583,814,298,671,115,852,
184,526,604,829,702,219,897,816,048,458,280,424,882,061,339,297,032,994,341,
496,699,731,365,870,584,278,036,573,866,151,791,450,300,021,902,721,314,980,
579,591,752,848,637,657,777,159,494,408,147,755,526,526,498,755,136,514,302,
428,269,681,403,179,652,837,920,353,815,834,833,290,223,293,456,228,342,100,
220,403,370,552,425,662,799,200,687,025,282,992,350,149,068,539,590,546,336,
500,887,608,354,538,396,560,520,172,270,941,181,054,382,479,002,463,532,129,
370,458,263,532,845,775,065,113,325,153,730,702,662,934,379,268,028,032,999,
660,100,023,201,892,410,143,457,205,204,711,762,506,020,427,464,213,310,723,
960,310,402,201,538,084,934,883,871,645,636,114,996,371,837,808,877,004,607,
172,030,765,193,628,093,734,417,415,851,936,797,496,920,097,357,965,257,022,
350,311,208,470,635,675,409,044,426,527,393,932,055,645,632,477,031,374,676,
055,778,384,849,534,641,845,818,348,965,681,238,577,011,404,842,734,462,414,
988,678,046,339,900,523,828,375,403,081,487,105,843,678,513,803,980,885,915,
260,417,644,280,636,822,880,864,167,869,685,675,905,325,283,187,991,170,612,
914,378,233,437,533,559,020,489,307,489,444,996,199,105,546,778,396,898,980,
104,016,538,533,148,889,814,300,045,756,891,371,728,037,398,191,260,280,937,
797,879,450,176,505,660,159,301,478,620,491,461,088,420,535,268,935,306,366,
749,622,124,326,180,928,078,382,413,242,083,979,238,611,921,060,396,524,136,
549,264,819,123,922,311,402,423,151,622,693,234,485,678,952,469,729,789,233,
277,099,872,591,945,196,479,264,951,702,024,667,691,587,161,333,493,599,458,
905,842,474,652,561,743,590,400,888,097,811,240,840,324,925,404,642,244,983,
278,561,469,076,641,180,320,233,814,447,185,387,919,829,630,894,093,159,008,
733,860,214,486,037,590,699,017,456,639,904,811,299,384,889,749,705,862,945,
813,249,242,309,603,716,317,122,020,362,508,328,370,740,808,821,215,439,959,
029,333,918,284,132,332,980,663,538,493,983,142,586,912,070,706,567,620,174,
281,681,488,723,756,463,439,162,023,924,082,206,794,305,255,346,364,285,840,
915,069,108,960,404,927,964,550,382,666,251,343,877,149,368,162,240,815,074,
901,061,528,226,634,726,874,293,304,098,327,849,034,962,671,083,024,681,394,
484,599,483,031,140,009,777,167,188,211,629,201,187,881,440,439,652,553,008,
738,893,926,870,917,561,609,406,833,959,785,463,762,318,883,644,703,691,753,
733,448,465,192,344,659,548,860,440,106,882,732,450,433,811,190,778,175,101,
941,149,945,180,087,060,647,005,570,263,326,844,349,769,488,241,135,512,836,
159,252,926,289,117,995,117,636,623,951,400,616,230,705,474,449,803,103,357,
366,512,967,180,356,492,486,365,094,603,551,268,038,694,224,737,292,924,107,
065,671,010,879,417,509,300,691,942,033,050,301,787,638,520,214,183,174,672,
824,161,653,940,114,819,298,572,477,906,453,376,356,491,485,793,448,165,714,
789,216,410,125,944,650,539,989,153,535,162,260,484,119,412,117,403,662,171,
611,243,104,004,617,478,312,964,056,659,791,384,862,693,040,551,147,172,833,
996,652,978,144,538,192,140,447,639,487,630,218,497,552,505,983,602,783,996,
701,498,836,910,819,768,423,339,697,618,655,774,752,933,980,178,364,910,885,
355,213,481,181,017,850,159,339,910,657,465,282,632,552,159,642,053,396,605,
999,262,190,387,037,772,772,242,382,788,829,323,786,643,471,922,693,008,386,
968,238,122,844,531,595,565,550,461,146,729,332,532,350,313,606,640,996,229,
595,481,825,061,571,657,347,555,963,005,889,582,539,591,723,554,765,845,806,
572,618,990,562,857,256,992,504,568,473,539,550,413,690,816,486,170,927,480,
572,357,835,283,387,123,571,304,152,033,375,887,922,550,408,907,030,013,312,
055,940,462,228,203,970,806,418,649,890,860,409,985,959,729,828,196,949,759,
426,218,024,730,466,698,227,924,134,917,807,692,307,238,141,578,206,351,075,
947,267,187,947,421,876,197,302,919,450,804,367,414,158,904,384,897,110,778,
898,725,692,742,438,455,235,096,515,188,691,409,699,917,840,449,515,054,005,
469,095,374,197,923,541,509,136,241,917,952,642,988,750,153,494,256,937,354,
745,280,114,909,961,923,721,120,158,454,579,686,393,558,824,709,243,843,649,
282,484,313,280,305,827,012,928,274,339,447,435,302,368,428,040,353,446,152,
443,699,500,266,294,617,254,934,583,944,788,956,048,090,815,695,154,517,987,
624,321,720,296,496,581,637,090,730,852,029,195,881,244,469,742,068,236,839,
541,499,917,831,522,899,291,213,688,492,981,657,576,344,211,950,793,388,624,
887,228,290,281,487,156,975,581,077,984,854,342,632,558,495,261,410,457,194,
222,720,947,112,865,626,351,356,999,076,135,409,214,011,566,558,984,603,344,
852,142,838,583,167,852,125,160,269,160,495,584,749,454,234,189,190,410,982,
305,566,520,939,659,061,490,643,468,481,316,273,265,876,030,253,263,770,976,
816,898,554,367,984,359,459,066,186,098,753,792,198,794,893,646,110,719,158,
446,519,792,798,172,920,210,551,036,744,955,338,585,395,690,265,949,400,883,
270,400,089,343,451,673,811,222,884,624,794,831,719,903,801,025,618,234,082,
298,572,808,094,106,777,334,327,936,664,148,636,540,340,723,357,781,172,861,
640,469,306,315,088,227,405,684,741,757,056,779,623,413,962,607,011,208,035,
756,007,330,131,259,894,138,615,212,183,011,907,917,359,604,983,798,557,426,
038,397,676,484,626,680,729,413,144,569,794,132,099,161,467,704,471,019,269,
672,569,595,816,901,871,303,651,529,799,033,805,106,888,475,345,872,253,706,
989,891,062,552,465,921,360,409,813,714,316,401,193,604,261,954,949,429,478,
965,863,533,544,015,467,796,558,087,462,650,298,650,416,931,846,332,443,783,
363,306,846,153,537,484,016,238,250,453,536,873,188,606,552,480,336,965,548,
292,529,686,099,547,119,565,946,995,491,150,757,970,397,329,769,509,963,535,
945,663,531,707,905,776,750,025,663,682,395,017,781,063,547,019,559,979,673,
691,669,761,747,897,775,508,257,003,738,608,992,833,022,149,959,663,301,235,
855,073,348,591,664,081,928,353,637,116,412,537,520,098,375,065,597,353,334,
891,695,412,168,310,301,951,334,715,583,280,849,142,281,926,720,021,258,456,
018,150,040,417,858,063,564,579,292,211,801,118,515,489,436,357,921,491,898,
183,601,306,821,469,230,466,701,561,316,625,192,645,561,449,842,815,193,363,
461,355,239,130,403,296,628,308,905,414,854,461,649,476,184,360,033,074,721,
722,492,343,590,025,119,732,187,513,553,574,575,139,222,505,163,504,180,845,
223,988,985,777,984,777,656,240,077,051,899,029,672,281,993,823,736,612,496,
263,531,409,092,378,581,356,154,967,175,541,107,021,031,147,708,164,677,032,
725,346,830,541,419,983,556,667,679,793,462,155,352,914,997,706,823,233,414,
207,892,588,279,027,674,288,817,218,133,255,138,235,360,367,264,627,915,731,
250,295,334,596,854,130,030,212,779,893,844,191,980,193,098,176,720,857,186,
339,007,614,825,727,399,504,250,939,822,044,573,005,976,394,318,746,660,190,
869,905,990,490,085,310,658,990,600,348,785,408,187,259,782,543,789,383,839,
741,228,743,807,560,377,890,167,584,981,860,434,388,644,661,021,894,700,884,
381,693,991,425,812,359,621,348,268,556,069,480,164,451,240,484,587,870,503,
410,033,773,588,039,436,064,983,020,467,021,068,972,121,510,233,235,324,367,
010,576,399,000,037,076,316,723,120,044,404,960,588,383,088,902,438,097,407,
819,636,146,526,767,784,811,190,132,918,206,427,497,550,695,699,594,219,633,
701,097,350,884,416,366,522,184,973,980,730,018,436,588,090,706,015,026,399,
041,261,722,033,022,893,492,836,916,616,281,327,873,127,961,076,624,018,942,
028,144,366,611,618,931,737,166,688,322,595,050,903,334,129,279,495,683,761,
779,633,479,649,240,301,262,155,741,102,288,781,165,297,246,723,652,145,963,
892,495,200,310,938,914,652,645,745,339,876,699,716,702,868,695,398,573,179,
959,520,706,142,258,450,186,206,522,551,055,963,058,606,736,980,533,382,474,
888,922,971,428,737,796,284,552,867,780,938,951,151,654,100,327,805,979,096,
307,623,755,205,854,489,659,800,866,985,851,048,933,691,895,405,987,554,571,
365,426,961,364,382,971,079,904,024,422,733,674,528,329,128,299,744,491,084,
553,718,750,783,110,695,423,873,487,986,288,911,549,609,915,281,393,322,768,
384,287,601,747,759,078,775,560,142,940,004,002,762,352,148,083,493,432,104,
900,241,475,677,900,240,527,194,611,159,861,916,040,751,049,186,091,022,715,
072,090,847,830,118,630,246,237,895,159,660,574,062,526,457,520,355,174,217,
511,099,404,054,954,992,307,168,655,242,061,049,674,875,337,902,879,084,322,
671,899,991,645,720,224,049,889,906,364,189,684,389,867,432,240,202,816,833,
413,229,487,618,368,523,844,400,656,152,091,438,245,312,065,028,110,241,379,
083,725,646,361,025,462,840,992,642,750,663,493,545,292,082,958,742,332,049,
765,832,298,759,814,700,768,149,699,451,404,511,952,980,875,782,195,951,180,
782,612,763,973,815,940,072,305,524,377,071,340,381,734,879,167,617,933,443,
845,611,209,228,601,875,659,223,374,964,573,511,040,153,870,995,113,752,885,
296,692,787,544,049,272,791,935,833,050,063,422,444,963,844,351,704,196,462,
294,779,616,625,731,496,221,892,064,971,675,729,285,024,039,773,867,044,695,
182,175,375,638,694,794,749,512,903,137,821,434,699,085,360,751,421,166,344,
544,584,092,091,277,058,671,417,725,313,289,751,212,246,300,823,412,500,470,
912,744,881,046,175,319,163,652,241,160,383,262,159,203,692,520,624,849,814,
061,889,183,811,341,106,278,366,262,142,978,735,484,628,028,807,613,960,598,
934,352,934,034,830,288,728,689,095,306,543,689,016,266,872,683,562,263,472,
566,077,409,316,177,827,162,752,618,686,291,357,146,377,763,053,765,078,881,
510,098,551,396,137,360,729,319,075,165,866,466,665,681,591,316,172,382,252,
622,753,181,301,426,668,754,547,691,395,048,557,068,209,559,988,696,379,228,
286,042,131,189,618,403,129,973,429,903,629,115,809,484,434,782,390,106,572,
610,958,165,496,584,961,440,603,878,556,111,426,515,618,189,794,664,689,222,
463,459,710,910,226,304,755,452,463,330,764,194,333,285,041,887,064,414,677,
815,782,076,384,025,286,081,287,462,028,126,125,022,838,872,040,808,246,223,
033,646,859,277,667,725,370,444,906,809,976,617,870,326,611,912,831,822,112,
511,946,792,818,511,755,626,887,569,374,469,899,614,198,588,650,392,315,081,
829,608,083,960,956,701,589,275,621,693,327,554,057,857,220,443,467,504,654,
375,290,820,138,646,853,137,989,518,297,974,080,586,616,415,918,776,371,440,
602,504,008,726,066,121,244,654,703,585,077,980,320,748,997,692,282,101,198,
324,991,006,893,234,157,083,626,345,606,466,967,704,284,855,087,885,117,238,
492,972,082,380,702,027,371,476,279,821,710,705,988,395,881,438,157,308,894,
542,111,813,979,438,432,180,918,074,832,213,904,881,125,399,533,692,322,444,
578,586,346,014,757,073,555,168,974,086,273,687,437,263,919,114,113,971,859,
538,052,621,512,258,524,267,307,385,025,410,238,366,117,736,164,201,716,092,
114,969,553,661,863,133,458,363,702,661,763,618,912,547,156,763,093,174,076,
394,016,042,044,247,921,024,201,006,702,212,041,955,809,712,639,179,053,418,
257,292,377,105,378,075,098,251,202,523,617,465,874,993,769,550,031,725,716,
820,050,799,934,488,531,839,283,258,892,828,346,235,319,423,174,736,037,761,
801,816,790,352,838,062,707,406,277,325,566,659,725,832,909,033,847,379,392,
060,661,839,996,450,682,934,806,886,214,149,260,631,254,219,557,073,369,440,
247,672,767,984,064,165,917,430,766,677,217,402,473,617,177,191,846,977,215,
011,970,694,033,353,473,775,771,205,370,559,062,074,171,071,435,827,253,797,
164,576,439,073,807,971,715,222,982,268,909,205,946,781,319,712,050,468,227,
422,688,371,852,003,765,575,901,188,958,561,189,890,095,919,208,899,803,906,
093,824,839,231,165,410,737,237,291,861,056,694,224,861,360,940,555,067,082,
234,881,869,628,026,142,511,518,958,279,099,978,332,295,901,548,890,706,917,
382,389,303,011,940,956,498,281,938,295,615,665,217,633,988,866,718,483,899,
371,672,935,745,679,683,674,697,938,493,728,938,875,749,880,184,204,448,496,
131,915,104,069,844,508,328,503,676,051,250,200,393,716,886,679,488,255,552,
015,903,567,417,876,405,889,547,387,408,977,965,742,018,661,913,238,958,072,
911,935,752,331,200,922,943,249,759,866,453,782,017,713,075,460,957,714,735,
269,784,391,861,124,926,212,002,218,653,354,991,259,162,490,721,548,914,163,
158,580,331,035,989,295,012,905,658,453,783,095,508,418,871,821,994,969,143,
463,806,182,650,323,373,498,408,500,987,889,195,423,870,546,277,549,965,913,
954,616,787,406,667,133,419,970,978,786,333,951,294,702,377,004,121,704,236,
851,672,774,520,773,416,287,841,057,028,050,227,410,564,232,002,848,506,213,
858,289,663,485,183,859,960,329,471,655,461,185,919,437,922,742,005,981,035,
747,718,664,895,373,971,177,253,737,442,071,513,770,943,882,925,353,862,549,
095,560,435,720,675,463,783,963,409,707,007,240,241,949,347,691,277,660,036,
317,320,955,014,944,460,792,034,307,665,379,428,538,149,253,223,349,588,657,
837,245,171,869,995,626,596,325,720,650,242,436,130,432,368,156,786,737,246,
755,719,493,028,520,602,915,164,397,688,821,665,810,525,496,513,076,759,486,
191,778,544,473,432,590,116,195,734,787,939,618,389,321,417,216,957,663,141,
019,924,244,050,240,696,558,942,757,780,718,450,577,711,445,895,953,007,371,
256,972,297,515,662,594,598,140,267,737,072,085,196,267,450,638,344,222,188,
424,793,142,622,963,352,012,466,808,795,082,118,531,082,152,934,664,005,220,
548,620,594,423,421,422,721,483,485,944,422,598,644,724,355,170,438,500,101,
637,672,893,242,945,417,170,628,122,172,739,218,199,893,913,999,305,085,867,
872,167,990,263,513,189,203,388,904,530,213,290,460,698,110,740,021,583,197,
185,617,465,442,467,002,013,396,558,595,459,319,400,224,509,635,195,909,275,
643,205,686,695,334,237,697,115,255,731,642,160,775,668,474,793,020,287,985,
412,148,764,410,211,286,877,503,122,970,777,895,878,602,159,248,067,810,106,
810,783,599,408,891,815,807,907,781,500,442,972,270,892,845,529,330,529,437,
420,065,535,447,287,349,218,711,109,921,228,477,621,706,180,133,541,718,885,
121,990,730,205,614,088,505,857,864,230,022,078,273,062,946,940,912,638,245,
340,236,567,044,810,057,309,686,714,647,837,198,844,283,714,944,446,846,509,
004,346,874,957,103,193,125,546,911,493,270,931,603,451,159,351,457,353,143,
385,711,968,918,020,135,282,767,026,217,205,715,673,460,540,435,406,215,800,
204,347,571,733,592,061,144,854,531,115,971,124,664,541,348,335,052,660,726,
891,722,224,760,388,829,263,418,080,055,713,889,609,953,333,912,083,638,866,
752,490,637,529,447,429,363,927,214,481,610,191,621,590,887,314,464,909,760,
007,354,021,516,804,668,828,671,205,361,746,067,079,286,162,922,782,230,175,
499,308,330,468,916,214,759,912,056,899,816,422,985,613,418,291,078,323,641,
746,641,784,214,435,370,059,170,084,992,233,778,646,477,171,586,886,413,233,
409,752,783,381,049,984,186,753,706,940,284,868,909,628,421,220,614,958,241,
543,392,065,995,276,017,437,286,974,627,388,752,598,327,312,454,693,565,001,
474,456,324,475,607,476,179,676,709,556,438,043,565,329,180,110,147,139,474,
752,022,028,461,763,628,507,567,570,847,625,768,976,370,917,692,463,057,093,
284,333,484,590,844,458,924,568,292,527,273,485,184,167,741,685,078,168,593,
523,078,315,260,185,471,380,082,396,069,682,036,439,742,712,149,198,270,349,
155,676,124,712,274,032,226,482,505,226,260,437,098,281,865,383,799,035,853,
090,457,548,188,286,717,014,992,918,746,310,670,135,846,167,182,607,959,342,
657,658,793,158,924,016,351,477,310,909,159,770,161,340,611,525,493,011,852,
069,479,394,633,451,849,280,757,444,346,810,145,640,566,026,030,570,458,163,
308,490,850,304,824,591,699,726,891,145,976,727,139,437,321,874,281,469,352,
149,446,176,622,803,086,759,174,529,424,802,832,962,414,715,270,580,181,170,
299,106,680,017,530,589,769,406,638,678,322,079,749,764,092,621,811,975,539,
072,228,602,443,705,458,157,016,102,068,412,049,589,389,396,671,406,121,421,
194,465,627,566,079,655,953,268,524,574,970,045,436,405,747,476,842,286,103,
452,114,057,499,957,949,056,327,254,180,596,808,730,878,808,899,676,250,109,
537,808,503,943,775,838,927,604,330,380,563,994,642,148,398,850,136,584,733,
620,817,630,055,802,100,999,435,812,087,302,987,721,540,210,166,071,770,661,
621,702,254,870,816,450,484,547,491,402,239,219,068,215,359,329,856,741,646,
933,542,062,303,115,726,114,873,236,062,134,385,047,408,696,373,429,923,082,
907,269,000,703,112,172,454,341,016,480,954,297,207,861,432,663,740,070,928,
100,857,799,369,234,703,581,860,276,476,875,710,053,572,564,673,834,475,422,
795,616,634,459,007,797,563,054,159,886,158,115,926,546,455,250,081,503,923,
814,783,346,885,701,278,598,470,297,782,986,639,526,177,868,707,313,485,932,
167,704,224,532,301,656,274,798,985,650,580,150,059,052,564,733,098,924,164,
947,712,762,513,029,490,278,450,219,186,353,949,487,773,385,414,576,199,581,
722,814,420,742,203,944,287,559,503,054,760,632,307,088,322,727,858,417,418,
186,343,245,915,249,883,854,364,974,724,216,865,650,291,613,789,370,551,945,
985,806,926,136,303,695,207,711,212,084,454,540,125,258,171,751,716,790,364,
162,562,984,502,950,463,780,682,559,622,425,534,643,379,657,006,737,040,315,
802,232,868,778,437,830,920,529,423,276,131,909,811,298,030,886,632,878,817,
872,773,827,561,110,411,985,141,237,338,751,890,919,667,577,345,641,413,951,
380,184,280,638,379,851,235,341,078,335,316,775,793,347,791,122,353,031,723,
704,743,191,521,754,476,496,164,599,380,673,431,189,148,607,368,611,894,994,
283,242,862,188,070,462,301,488,098,743,438,502,847,255,051,143,991,502,984,
033,499,700,643,664,600,653,458,698,802,884,862,463,491,946,191,986,129,921,
108,104,834,899,327,945,998,752,646,796,326,151,449,514,461,986,086,705,554,
023,427,952,557,434,588,767,771,205,618,874,156,560,427,652,791,446,962,465,
518,493,613,581,457,997,650,808,215,480,714,969,242,735,811,843,399,796,113,
090,121,462,167,782,098,030,016,262,269,646,017,658,244,246,640,344,360,779,
704,906,620,771,634,362,357,438,423,102,048,943,474,219,274,030,085,252,668,
899,555,766,674,145,743,336,003,453,711,295,607,739,212,372,497,795,493,928,
434,553,038,194,967,152,089,445,505,932,536,259,350,005,008,324,855,250,036,
238,120,625,740,894,378,058,895,487,075,799,611,944,936,883,035,742,523,438,
603,826,642,347,383,952,904,525,333,969,923,848,059,175,536,922,164,564,792,
797,477,868,544,593,476,417,086,397,459,522,957,809,586,485,247,385,197,129,
599,902,464,002,040,136,417,860,557,574,886,724,779,136,538,264,572,994,287,
363,919,675,836,998,626,307,028,963,924,970,033,955,671,200,536,736,011,666,
728,507,106,256,564,236,540,770,239,976,431,239,397,108,158,252,622,801,995,
374,211,895,977,261,715,381,892,961,698,574,762,068,880,485,190,200,236,284,
516,202,642,596,700,078,584,927,373,570,181,150,267,866,058,977,474,433,362,
843,745,434,260,989,442,318,998,198,221,803,651,585,283,293,084,767,740,972,
330,938,325,617,766,856,166,868,834,116,879,572,394,733,767,174,334,453,593,
815,293,871,606,005,501,909,693,179,179,912,138,112,011,386,270,652,571,281,
506,663,166,959,210,437,159,185,692,262,259,654,074,449,383,322,605,702,505,
645,061,355,600,966,525,386,290,176,059,946,496,586,570,956,075,270,884,236,
707,417,123,934,345,466,554,842,335,506,762,784,397,049,229,322,635,772,556,
345,899,434,989,784,440,555,924,257,850,835,755,273,039,697,288,632,033,425,
804,045,906,090,343,110,966,254,143,622,676,332,336,943,893,992,535,624,091,
062,245,630,986,028,497,610,962,457,035,766,760,281,158,438,053,525,653,540,
152,773,196,433,182,301,607,284,535,774,618,349,622,463,676,277,081,454,995,
386,902,997,249,673,897,574,491,241,557,155,621,745,767,523,486,927,984,152,
645,189,551,103,504,942,034,319,590,955,099,394,873,892,668,694,348,151,221,
944,713,263,051,691,627,430,072,935,745,545,168,949,569,382,561,094,095,489,
692,252,252,984,770,625,174,292,570,722,540,160,059,947,162,290,114,247,775,
285,044,691,513,054,906,581,568,122,056,905,632,372,545,734,046,674,628,728,
918,968,319,312,452,039,888,555,397,384,711,497,970,721,189,152,828,178,333,
879,973,653,748,069,519,052,037,681,705,453,977,996,771,198,973,073,856,330,
580,182,090,539,025,399,241,385,262,322,156,154,543,542,469,761,774,315,002,
866,471,302,448,300,742,391,337,880,677,430,311,591,868,324,610,322,703,532,
653,104,773,298,041,394,935,866,017,343,183,011,298,039,870,470,245,651,466,
944,334,631,491,934,696,604,693,537,638,069,526,585,816,429,450,862,216,259,
012,392,204,881,568,915,187,719,130,067,909,748,685,225,631,095,018,930,978,
535,967,639,159,848,691,005,786,182,029,309,680,923,833,474,544,520,397,614,
689,695,328,139,751,106,872,820,717,945,269,878,874,578,940,699,338,573,765,
220,980,678,521,662,744,626,242,794,971,943,997,676,505,266,100,171,432,078,
355,431,183,100,671,921,279,200,805,039,224,529,781,203,885,476,453,422,808,
323,675,112,249,939,471,265,790,460,422,859,431,780,034,197,459,917,957,431,
190,349,754,023,817,879,616,928,529,321,694,528,307,973,552,689,139,024,349,
014,245,131,473,374,713,700,141,740,082,620,276,430,797,489,579,290,935,812,
320,511,281,584,737,204,436,658,252,991,487,694,194,408,836,112,078,781,260,
158,706,978,800,031,049,196,884,853,447,369,227,834,353,998,175,809,728,865,
527,453,864,533,538,429,886,917,102,436,589,558,619,875,026,930,269,644,202,
701,296,783,197,136,942,089,327,704,244,684,803,248,930,817,663,045,469,582,
356,921,481,863,079,204,034,348,040,036,728,415,841,445,979,770,734,301,072,
957,278,741,081,185,984,177,140,301,264,407,519,522,104,589,407,579,010,704,
026,546,835,087,922,164,548,326,201,251,733,838,504,088,208,900,362,763,108,
719,266,092,414,950,347,785,471,373,711,036,236,528,295,090,342,440,140,700,
699,652,750,358,181,307,313,031,655,200,472,693,625,854,671,440,343,770,872,
028,690,096,680,076,474,261,917,950,026,496,802,292,668,825,888,022,113,454,
520,656,488,103,795,605,502,606,197,781,927,310,035,217,692,161,757,022,950,
149,131,119,956,063,841,176,109,875,882,338,781,692,188,960,220,547,228,041,
794,915,397,274,397,110,113,163,793,254,090,997,451,799,468,364,134,411,019,
144,524,400,394,090,969,912,428,712,169,635,165,847,234,956,624,877,805,782,
649,208,269,578,164,813,461,918,785,746,214,606,203,797,231,608,924,970,128,
833,150,865,103,944,072,370,819,333,978,349,913,761,625,812,784,639,914,463,
377,311,614,922,200,921,409,672,494,488,480,058,788,338,117,260,884,839,260,
185,931,347,109,341,722,891,104,668,332,517,694,751,610,532,585,544,643,246,
787,311,406,910,949,304,384,628,463,808,112,387,147,649,068,567,523,314,645,
980,036,571,816,811,050,169,095,080,615,629,739,981,751,231,132,698,746,368,
345,350,038,256,311,695,557,605,416,842,155,046,189,113,149,404,441,745,431,
564,045,631,057,322,435,877,184,865,804,849,969,347,586,933,350,103,058,881,
628,313,890,170,934,279,685,155,774,948,191,702,065,949,986,781,206,048,468,
791,313,215,507,078,276,840,139,256,226,574,910,015,801,247,523,711,370,032,
312,557,830,240,560,249,324,363,996,296,284,359,870,946,128,928,214,868,965,
406,112,155,981,575,807,560,159,985,257,646,647,382,552,285,424,001,229,211,
467,738,638,336,238,280,949,890,895,964,211,959,270,315,860,568,264,863,017,
944,090,116,652,770,499,870,909,609,049,310,822,831,679,918,121,188,851,618,
310,253,994,500,428,236,182,492,817,231,862,118,203,658,104,380,630,722,322,
269,738,315,572,642,341,211,885,694,175,130,703,007,788,281,633,053,192,331,
016,067,776,687,627,863,093,335,005,616,860,965,095,652,364,820,389,323,116,
732,969,262,251,446,210,589,500,198,189,524,985,929,110,510,846,012,582,316,
944,633,193,820,175,851,211,884,594,868,439,944,085,596,930,351,870,821,055,
883,753,841,441,244,639,328,616,552,323,776,740,412,549,723,469,755,612,917,
654,718,451,837,831,074,315,091,957,328,493,802,747,075,382,340,320,433,578,
762,463,553,429,090,340,413,279,011,697,713,393,701,317,037,162,157,026,397,
065,135,388,945,639,769,498,387,693,217,978,606,386,357,991,968,591,532,779,
225,644,726,188,535,300,005,994,855,987,097,273,805,975,904,433,680,641,443,
937,711,227,339,114,743,026,857,452,870,004,918,017,387,184,805,395,364,495,
709,056,108,205,134,871,090,718,611,674,178,304,003,964,014,926,662,438,960,
441,023,008,451,121,669,497,728,273,935,369,591,522,747,698,557,301,921,375,
133,311,670,741,304,439,551,797,670,693,300,959,702,339,318,495,380,789,387,
165,162,992,010,587,857,947,499,078,276,034,536,945,187,026,576,517,182,586,
903,684,897,687,528,175,536,867,533,529,759,256,166,264,870,836,773,808,187,
512,686,403,167,504,190,267,275,951,896,976,087,857,247,453,303,218,301,340,
977,806,831,558,154,868,685,371,071,386,208,424,975,143,881,232,134,213,888,
246,917,146,210,305,933,312,020,300,824,881,124,182,526,466,150,264,610,709,
555,057,457,119,735,945,486,049,778,257,616,372,104,793,298,786,026,821,804,
709,687,740,883,174,795,538,102,807,178,208,200,360,774,649,306,661,257,749,
832,792,828,640,972,575,035,106,142,150,303,679,312,534,292,223,279,269,084,
600,037,224,529,566,890,899,033,030,206,104,628,146,456,927,546,228,494,806,
129,769,004,689,486,723,798,481,050,307,731,024,875,628,309,584,862,280,255,
309,558,951,606,254,196,122,278,819,940,349,390,418,101,422,403,387,045,168,
521,775,993,208,503,137,555,805,121,923,136,570,974,680,681,862,496,090,673,
784,425,863,466,140,157,392,381,383,571,866,546,578,048,885,975,667,546,942,
367,872,855,290,318,062,593,544,197,661,888,682,828,340,149,453,995,559,439,
745,287,737,309,553,877,166,164,694,930,561,133,883,108,983,882,265,490,278,
404,976,676,926,971,239,275,262,075,930,221,733,442,291,532,568,603,144,634,
526,744,405,103,700,488,999,961,764,930,825,028,949,242,597,153,794,192,492,
913,120,887,191,899,648,028,336,110,926,030,723,782,830,533,605,870,168,017,
481,188,248,423,114,375,750,986,989,436,910,727,983,514,536,935,811,182,147,
760,673,809,403,703,177,913,979,194,972,387,035,528,381,059,030,780,887,606,
297,277,727,976,234,152,659,946,692,237,227,029,460,611,495,456,334,511,490,
466,764,727,992,377,641,165,873,253,473,079,377,887,599,991,051,496,240,545,
051,418,586,486,951,375,678,333,646,696,190,153,017,557,397,620,589,293,310,
802,978,901,915,005,188,197,376,065,373,238,448,646,988,666,035,833,418,715,
423,626,045,051,444,824,856,467,490,943,395,732,046,642,479,437,895,523,076,
356,662,392,834,312,849,796,423,398,092,850,641,823,160,855,509,787,106,998,
134,939,344,200,120,261,028,397,037,505,516,637,568,030,940,170,281,412,040,
547,352,476,113,511,686,295,305,845,033,504,232,333,927,454,616,212,559,267,
153,320,655,455,072,817,053,253,511,734,152,199,457,516,037,282,987,230,177,
559,655,630,289,757,813,010,987,513,577,383,225,306,776,495,749,018,675,767,
452,706,053,649,125,895,754,464,292,573,223,611,786,050,870,704,715,996,013,
882,291,460,277,075,467,917,495,571,735,327,708,019,736,449,197,350,499,113,
896,800,849,750,612,385,228,378,734,818,091,178,239,398,957,458,489,875,020,
208,177,160,228,267,531,156,053,195,518,990,735,628,824,710,978,162,469,543,
362,764,496,612,821,382,733,365,209,619,248,398,093,137,544,266,555,558,959,
962,306,783,948,180,316,194,111,289,104,192,231,538,521,438,802,992,478,268,
430,922,471,941,697,531,099,607,067,420,021,904,768,627,702,944,470,960,883,
305,910,363,419,181,268,531,760,816,502,307,963,733,952,935,499,632,396,520,
165,213,048,942,100,632,324,224,225,400,755,559,347,510,443,924,468,626,705,
350,653,914,179,731,737,222,572,288,658,928,368,361,093,063,853,246,346,872,
757,129,715,287,307,719,562,928,998,238,508,746,313,895,043,830,984,781,192,
819,237,329,138,520,351,634,046,441,205,468,578,632,852,396,438,548,622,614,
153,595,139,046,402,891,758,446,915,630,160,395,606,211,643,532,667,511,843,
154,671,675,668,451,742,046,891,342,450,102,154,360,159,073,491,342,606,695,
945,453,225,787,092,165,808,132,930,854,682,167,474,766,567,965,391,670,726,
493,913,233,639,002,691,511,315,776,694,575,846,800,810,277,746,004,535,258,
862,267,327,390,753,192,289,227,506,980,456,581,205,249,634,489,478,009,953,
863,699,125,980,864,730,346,158,432,958,985,576,541,224,856,360,226,137,647,
667,521,559,712,125,883,096,839,117,445,892,505,207,691,135,459,635,221,933,
938,281,489,722,010,150,310,413,734,274,218,272,964,160,502,612,471,933,336,
572,259,451,175,771,877,710,234,083,978,504,298,942,010,324,991,177,342,090,
571,675,342,656,042,615,458,570,674,873,478,199,044,986,031,856,399,938,320,
081,185,933,247,410,730,191,640,521,343,437,713,768,108,995,560,058,556,910,
571,814,780,217,687,491,843,676,931,825,284,309,378,418,413,047,614,514,473,
173,494,483,299,899,339,113,028,853,784,237,881,785,916,607,676,787,664,828,
807,143,516,683,289,193,792,779,880,755,399,847,242,824,348,267,108,536,814,
590,818,313,381,868,729,717,937,304,357,286,063,300,372,635,941,639,566,002,
297,087,295,985,730,884,521,909,579,164,306,293,806,994,510,530,729,711,169,
197,919,888,890,814,465,280,654,325,621,397,750,322,639,150,779,953,364,669,
667,897,735,052,648,690,904,934,874,895,584,964,468,826,061,529,283,607,175,
614,928,136,351,043,601,014,590,733,596,879,684,539,197,260,626,440,984,099,
398,362,944,677,518,093,704,948,652,189,165,671,197,218,546,119,197,201,812,
286,516,548,877,311,725,325,199,990,475,547,257,946,132,397,060,719,960,238,
937,353,827,214,403,657,811,873,483,048,250,913,275,633,904,716,312,134,565,
613,720,477,381,479,123,306,714,746,956,393,667,983,362,391,823,776,491,080,
956,131,923,553,854,409,638,712,061,682,485,300,730,155,415,793,145,830,771,
034,396,957,441,723,916,530,601,948,628,983,590,065,729,658,812,711,631,176,
470,538,493,052,714,575,739,253,088,205,442,757,929,932,413,739,711,570,857,
938,197,498,175,792,235,686,904,923,755,791,273,173,994,431,760,089,100,491,
008,127,478,653,445,404,822,672,184,451,144,460,998,349,179,618,176,146,191,
262,829,048,781,861,043,422,545,700,502,251,331,753,957,973,302,066,748,686,
309,510,834,576,718,494,312,209,486,211,242,071,787,757,543,775,146,627,961,
212,723,156,011,904,046,196,372,845,768,369,292,810,000,854,874,413,529,722,
364,092,760,849,422,091,181,946,688,595,675,087,087,350,717,296,091,291,366,
721,623,339,614,694,047,523,090,032,725,852,543,068,153,361,860,955,986,307,
269,675,602,867,308,921,707,579,029,280,640,062,353,232,066,961,762,727,030,
158,182,017,380,607,106,100,877,040,177,701,296,472,186,380,422,939,033,001,
669,956,083,916,399,971,050,621,360,731,215,862,745,562,964,658,537,479,109,
540,101,816,458,760,073,308,458,236,493,449,775,631,258,152,490,314,051,877,
510,852,282,487,343,715,760,611,477,122,428,028,233,684,854,252,680,292,384,
035,652,205,575,984,490,510,811,824,277,625,874,659,104,759,474,949,458,851,
197,205,193,614,851,691,050,784,127,068,038,519,416,178,779,833,582,725,252,
388,451,018,176,290,766,904,774,334,895,006,992,679,140,562,563,620,658,592,
675,473,130,752,551,539,594,135,924,763,612,285,480,747,928,087,979,152,995,
609,884,191,830,310,344,449,664,674,246,777,716,365,122,691,103,186,431,125,
357,597,090,423,404,786,078,414,185,297,601,885,999,767,396,687,267,179,086,
943,822,440,010,182,802,484,067,643,353,246,028,675,312,226,752,698,502,666,
458,208,158,319,420,569,842,977,816,575,699,042,920,409,589,204,243,956,110,
004,382,750,219,839,554,303,025,622,497,544,389,898,805,273,383,189,046,592,
287,393,759,788,800,293,950,357,893,153,412,059,873,970,831,856,835,470,284,
711,847,853,235,781,763,807,655,541,001,597,027,618,635,349,786,194,023,084,
932,887,462,082,002,580,231,243,582,438,179,216,146,292,361,743,257,090,261,
315,532,717,686,549,766,564,177,360,886,069,863,401,858,001,073,884,716,035,
605,340,859,896,008,795,013,179,781,420,792,574,247,786,933,354,959,966,672,
891,745,089,931,583,916,782,475,948,015,238,238,875,012,640,239,447,139,563,
278,006,312,819,201,399,149,691,406,709,723,127,455,735,977,619,864,658,237,
993,810,486,098,808,115,446,234,289,679,058,437,975,957,231,153,216,868,373,
784,343,149,695,058,600,956,686,738,867,537,861,824,873,610,174,787,262,607,
530,316,315,648,082,954,116,100,904,113,382,150,521,487,464,346,703,745,026,
270,019,441,339,877,363,353,228,834,578,172,569,634,828,194,971,138,463,278,
352,035,437,286,957,861,454,709,026,585,741,027,113,086,850,434,654,958,815,
433,474,803,148,527,109,357,118,176,901,598,889,062,904,793,129,732,916,368,
987,290,578,252,434,403,088,969,080,202,540,606,624,699,195,416,784,581,030,
079,692,979,404,644,500,968,919,677,408,958,122,329,248,943,085,206,779,768,
019,917,742,909,344,200,549,752,063,627,008,687,737,908,795,751,551,009,512,
858,209,149,595,166,499,775,161,570,184,709,981,661,599,756,481,986,897,826,
622,682,616,310,118,850,131,113,150,001,972,447,137,487,008,501,983,515,620,
114,418,071,858,614,267,430,024,914,934,241,670,420,664,867,651,823,981,550,
626,621,521,483,928,906,533,738,513,990,933,132,331,817,886,676,633,346,148,
759,612,885,295,062,948,513,956,867,286,230,129,389,262,840,281,471,537,589,
667,262,474,178,308,745,815,032,852,521,299,059,941,666,775,975,376,072,690,
349,891,188,171,913,920,134,374,321,193,182,528,839,104,733,616,276,389,378,
453,651,928,832,061,740,806,239,659,347,184,594,073,787,712,190,180,750,553,
566,162,667,789,452,250,381,879,554,865,507,304,649,074,736,604,416,248,279,
000,014,927,286,745,462,128,914,134,805,805,455,478,160,860,724,957,409,709,
800,734,435,858,177,826,693,363,570,750,555,836,451,559,372,623,309,801,225,
209,630,428,677,585,235,545,441,686,273,903,868,512,849,247,452,139,191,688,
915,688,658,540,612,631,181,168,420,387,465,678,523,718,060,149,631,849,907,
860,014,014,924,958,292,701,596,016,384,969,827,900,577,809,489,690,699,199,
304,332,498,919,078,037,256,601,849,857,343,554,110,520,401,267,657,726,840,
091,194,139,283,983,164,811,908,629,243,013,569,112,914,173,459,121,870,599,
533,659,196,869,615,167,139,721,904,830,274,780,525,336,404,178,045,899,558,
637,936,892,300,966,752,505,094,992,490,626,698,122,758,951,305,010,065,906,
843,005,597,756,300,129,719,119,863,123,552,154,820,662,269,312,442,277,284,
183,698,717,876,650,729,772,321,959,979,573,290,176,636,308,357,157,939,129,
868,635,031,106,103,029,217,880,889,653,358,676,595,997,726,436,241,910,947,
151,273,462,122,256,339,337,216,955,868,328,065,935,714,149,818,923,744,415,
131,830,537,502,854,525,661,483,051,922,701,770,333,871,839,056,939,202,534,
603,315,744,164,939,277,758,913,843,914,261,392,145,843,549,065,179,017,127,
733,267,707,460,068,961,772,477,936,531,494,802,945,506,743,980,247,730,511,
251,018,942,268,789,189,772,284,074,817,222,735,244,147,845,068,285,210,395,
513,722,582,549,558,825,439,564,366,461,425,907,244,471,940,324,344,611,864,
822,791,315,133,136,261,824,616,557,533,640,048,997,643,946,312,518,103,693,
562,441,287,500,266,832,084,791,874,933,232,155,934,760,696,068,450,232,844,
925,817,638,918,926,816,904,101,933,736,147,005,100,177,870,445,427,344,609,
873,085,011,016,951,722,776,595,062,919,781,083,895,084,274,501,542,811,466,
890,275,996,723,394,475,639,430,055,750,396,581,201,814,549,345,273,012,116,
275,827,602,505,261,642,546,051,243,015,543,251,746,973,450,670,240,566,705,
377,433,184,138,338,712,056,603,294,010,805,947,284,635,513,524,131,248,930,
969,372,675,171,295,526,802,879,947,174,337,640,293,920,582,384,674,542,849,
777,234,074,861,958,603,643,363,092,705,638,088,492,041,626,210,732,089,896,
386,464,159,057,830,146,709,381,887,155,947,397,081,685,561,974,151,978,580,
056,477,158,723,591,193,719,399,927,988,944,512,250,144,447,804,240,642,348,
297,077,970,271,001,479,886,661,195,509,593,178,844,502,330,050,491,102,661,
408,334,039,526,634,518,939,495,813,560,201,242,527,465,209,066,700,305,489,
054,040,673,397,745,796,604,473,517,170,200,024,777,203,729,089,499,093,182,
960,084,509,383,224,675,654,370,782,936,872,894,624,196,480,943,368,918,922,
510,368,692,246,146,565,806,119,623,070,547,870,840,757,517,303,144,424,806,
081,025,477,269,465,753,905,058,568,846,187,880,062,827,426,636,101,753,676,
613,643,570,205,380,780,788,347,610,525,879,190,799,412,803,761,471,118,742,
955,337,019,056,374,036,446,161,332,867,530,929,685,750,046,965,962,719,192,
753,011,029,708,896,288,734,994,655,107,531,157,464,485,192,389,299,590,852,
937,262,174,626,868,866,024,363,786,582,305,549,075,235,532,744,368,319,877,
894,051,223,235,486,559,698,322,298,963,607,647,063,846,316,799,239,140,638,
265,603,026,906,511,230,395,318,460,375,415,619,300,483,057,734,312,080,624,
330,816,347,697,823,678,518,520,346,636,068,742,845,246,954,813,237,053,316,
163,315,997,399,244,933,135,349,801,461,844,260,358,883,332,834,349,551,062,
163,937,059,625,341,092,901,442,958,364,019,547,446,897,261,510,747,184,982,
028,195,064,882,671,265,854,219,466,314,356,956,055,058,355,652,640,230,775,
269,189,704,463,132,795,674,465,098,052,507,150,483,314,606,287,844,747,483,
545,585,056,328,049,366,005,305,074,710,508,775,793,523,499,753,121,498,520,
382,579,215,035,915,195,664,965,129,854,884,187,514,851,116,633,663,500,232,
409,480,432,162,782,161,908,365,557,232,001,872,188,408,803,901,755,781,282,
014,719,049,005,345,044,300,584,873,505,972,896,525,798,691,885,379,043,018,
213,836,570,019,631,138,044,815,204,043,635,359,009,883,677,574,126,336,382,
514,825,828,682,874,149,799,719,587,544,858,786,862,087,183,872,394,213,349,
172,194,998,988,006,481,331,705,662,345,355,388,223,819,436,779,067,086,446,
072,218,696,706,595,338,296,268,416,389,319,704,831,610,027,955,778,899,782,
359,084,464,998,920,163,140,242,120,177,391,245,390,767,312,817,651,733,722,
065,297,654,213,217,776,556,657,696,805,681,248,221,955,710,538,995,262,903,
230,944,978,883,803,639,432,074,929,912,277,430,025,653,118,819,611,542,986,
517,332,544,600,828,197,665,068,987,483,391,577,677,235,157,905,201,701,774,
655,908,958,126,125,482,162,761,869,985,302,513,485,656,383,049,654,600,312,
244,927,598,885,642,845,273,534,483,424,195,079,192,873,424,073,874,386,728,
282,738,765,911,352,317,188,339,585,384,878,127,334,451,000,633,116,160,125,
722,701,746,173,437,564,417,435,055,886,559,789,704,426,622,584,506,214,914,
784,006,982,198,440,082,366,543,642,937,700,318,929,414,252,929,030,546,050,
995,217,738,808,889,809,369,028,979,640,983,572,939,767,332,626,928,612,295,
816,376,297,614,558,407,837,029,080,096,375,316,353,452,877,708,712,035,048,
808,227,039,723,903,914,856,637,462,309,263,114,544,538,345,168,438,008,360,
129,927,358,402,774,748,637,455,479,731,154,015,971,047,947,426,821,761,399,
631,189,304,591,821,548,593,952,550,001,067,283,059,598,717,364,960,056,955,
291,179,548,423,258,813,259,784,378,667,364,469,951,933,276,120,955,494,282,
019,928,020,961,349,852,851,316,186,866,863,686,854,017,884,133,784,386,938,
157,394,377,372,080,629,452,630,696,152,157,405,484,811,784,241,076,696,742,
889,939,530,174,428,869,590,258,037,436,576,349,635,858,489,090,139,857,837,
575,621,615,422,367,544,404,026,119,819,904,422,445,894,962,000,844,674,960,
673,602,000,600,241,378,867,307,768,952,615,633,066,342,005,947,977,940,494,
158,751,632,532,758,963,061,981,765,710,943,283,382,314,657,134,383,542,943,
711,870,547,218,065,983,712,992,488,085,263,199,865,753,489,292,078,016,544,
899,272,167,940,185,149,996,090,750,198,333,100,305,468,335,342,751,670,000,
766,755,958,365,900,451,353,933,374,620,912,107,685,785,585,264,452,446,841,
927,895,210,978,848,843,161,107,209,600,877,935,203,265,311,463,978,740,112,
118,171,241,934,608,692,909,503,263,253,960,744,596,757,634,233,587,948,149,
496,004,441,975,243,921,763,038,921,052,055,534,298,488,125,421,328,256,041,
325,817,362,898,006,372,322,664,081,860,094,846,984,611,728,798,520,202,502,
783,135,851,993,134,279,997,903,605,231,179,106,531,056,530,856,384,525,947,
076,764,738,478,680,712,638,551,347,620,879,094,532,627,612,063,626,577,034,
164,266,988,330,643,306,438,677,598,416,966,213,656,707,419,357,392,966,583,
378,130,350,509,701,712,404,672,499,058,751,551,204,966,196,712,773,777,569,
815,304,048,353,412,445,226,957,633,470,082,750,974,109,039,409,631,903,362,
847,698,188,950,075,857,080,017,192,801,823,966,950,343,282,359,793,608,940,
836,030,611,178,767,605,653,150,232,703,751,924,400,407,255,618,685,951,581,
412,242,346,131,473,419,078,222,239,034,191,365,386,967,516,683,712,866,548,
212,976,638,461,753,961,523,590,145,610,059,274,925,434,024,827,457,852,953,
890,337,120,726,950,546,089,668,180,099,888,284,329,993,888,180,807,559,559,
540,272,507,266,279,561,345,119,241,626,662,110,537,732,054,279,357,395,788,
310,993,850,278,746,364,872,940,848,552,765,929,649,847,314,068,886,989,707,
209,511,346,305,068,073,217,081,399,814,293,958,394,027,887,438,241,910,996,
667,871,220,521,854,600,102,573,885,383,696,353,064,949,428,817,965,653,289,
737,816,690,420,964,413,295,099,847,939,618,369,044,136,562,067,604,498,968,
559,082,951,031,955,388,215,388,662,488,723,229,691,568,402,168,175,066,385,
157,168,178,767,442,741,645,240,006,872,487,471,742,111,640,923,159,317,835,
297,284,198,851,958,132,933,426,669,742,562,540,834,593,481,574,677,709,972,
947,798,435,351,085,658,631,695,411,930,458,009,626,549,395,448,244,420,207,
336,786,584,195,788,241,754,372,879,844,020,487,829,915,786,838,860,221,358,
527,536,530,758,474,730,028,355,790,200,720,028,633,705,987,894,751,485,309,
341,557,637,855,919,301,540,327,499,353,560,577,242,291,590,977,409,884,471,
273,522,240,632,519,345,965,608,043,553,002,788,109,870,014,048,883,826,935,
308,041,517,854,937,111,547,731,399,518,774,046,488,851,186,963,505,232,257,
358,966,456,267,586,291,363,443,226,302,358,709,351,377,428,595,783,218,380,
975,558,867,435,879,440,190,090,741,220,918,198,962,701,188,269,554,455,667,
798,446,686,201,183,874,877,978,926,987,965,814,645,004,231,944,566,791,775,
750,588,909,701,144,866,575,623,575,265,655,173,626,034,250,405,942,105,264,
845,102,163,536,611,771,885,354,867,358,732,109,171,915,387,638,347,525,998,
052,406,860,594,245,506,509,101,110,001,702,616,588,175,443,775,039,758,326,
098,564,682,318,182,681,034,537,824,388,897,734,336,136,994,488,238,867,315,
637,249,712,836,692,066,866,938,977,694,515,432,126,561,277,365,152,346,314,
813,322,827,908,433,782,658,562,553,753,661,520,837,001,167,294,501,017,314,
910,986,463,737,216,484,087,951,793,557,066,104,784,448,527,806,042,034,364,
259,196,180,915,640,644,053,614,767,967,870,936,578,526,804,497,842,361,905,
110,689,562,342,355,141,052,367,713,789,231,419,398,763,770,191,847,803,086,
258,339,313,658,185,347,102,610,832,364,565,529,472,029,888,579,182,085,562,
284,505,096,138,562,120,402,865,094,351,963,770,364,511,117,965,452,339,990,
454,950,803,075,436,656,518,614,677,509,832,274,722,124,926,292,822,513,753,
040,629,564,822,997,320,867,885,651,937,452,740,087,513,965,567,316,621,760,
074,832,217,477,387,489,705,694,572,297,196,610,411,198,001,026,947,764,560,
674,027,535,650,549,854,695,088,579,199,418,069,937,075,347,244,765,731,979,
322,239,838,147,637,591,744,986,845,237,084,662,823,570,599,502,955,877,393,
733,158,188,300,662,909,235,457,608,139,747,288,354,334,955,741,469,202,930,
543,685,358,012,366,794,394,511,163,841,441,547,321,057,718,000,985,635,142,
493,094,611,719,928,429,097,345,683,529,983,483,092,940,644,723,985,817,795,
324,153,492,225,381,770,492,861,232,856,942,504,088,002,916,949,567,390,578,
973,800,310,659,464,254,808,095,186,754,118,814,287,276,568,798,977,416,002,
897,951,708,277,707,216,007,205,293,903,499,826,036,249,276,670,349,978,522,
831,457,102,939,355,296,023,783,582,019,783,969,229,430,785,242,829,985,063,
199,606,038,940,872,330,190,335,826,331,458,150,356,700,223,366,386,498,601,
296,177,281,596,679,036,256,663,307,778,323,486,499,308,184,322,673,497,169,
332,176,997,607,283,045,602,767,637,358,641,240,503,718,897,646,669,167,122,
189,195,149,593,381,571,861,526,597,926,812,684,031,998,103,624,918,183,404,
542,151,890,139,071,135,489,850,434,827,459,670,795,988,889,033,845,953,727,
417,955,140,785,097,878,957,178,193,585,121,560,547,899,138,009,007,720,421,
064,232,716,092,402,099,402,457,195,084,029,693,486,382,618,813,327,530,563,
594,819,672,167,154,077,152,478,000,403,985,360,642,607,335,525,339,767,147,
935,155,149,832,508,620,505,017,226,609,175,108,841,215,390,207,334,127,896,
448,689,313,916,734,483,534,591,217,791,234,402,498,342,921,175,279,356,968,
532,655,686,004,958,980,950,916,028,284,246,809,327,813,427,189,852,728,328,
857,361,682,326,384,464,321,211,287,729,292,701,050,348,011,286,129,385,562,
033,261,793,873,557,846,475,256,732,672,975,576,715,041,886,709,542,817,660,
633,385,137,249,674,957,562,785,550,025,751,375,179,698,989,434,943,123,015,
386,023,075,405,813,417,423,390,765,330,407,903,177,880,530,188,549,762,682,
876,898,863,510,664,320,333,628,235,421,107,144,449,217,262,822,076,792,099,
527,401,380,768,162,207,265,507,620,332,783,662,369,080,504,210,272,675,938,
018,572,620,783,322,922,630,006,155,274,152,381,366,411,621,358,837,266,709,
552,333,644,854,266,619,607,271,061,179,059,722,348,953,019,428,160,232,345,
192,691,411,203,740,065,664,804,277,044,165,495,912,681,065,193,575,013,791,
380,593,350,448,399,501,370,466,263,561,627,459,928,285,816,436,166,291,493,
665,698,929,890,187,516,638,882,577,964,650,232,710,596,715,138,165,455,805,
495,894,172,304,287,675,866,223,738,949,759,613,402,596,187,838,928,442,234,
465,049,960,483,955,798,892,863,913,054,920,034,852,790,841,225,644,752,686,
841,054,738,300,744,094,430,054,811,854,824,607,147,249,711,553,610,933,020,
784,732,483,282,312,472,438,440,795,741,576,924,272,077,309,359,056,965,657,
114,917,150,489,106,809,776,756,615,222,063,223,755,378,252,788,043,055,770,
981,429,648,655,043,491,651,284,659,739,951,484,121,682,766,752,290,016,671,
728,657,517,703,832,460,308,278,527,738,777,806,280,563,875,890,721,380,019,
685,994,543,747,840,644,179,324,909,539,977,290,379,068,084,583,604,597,566,
967,103,944,785,466,629,140,316,647,207,918,375,537,885,232,231,962,221,809,
533,836,050,245,976,391,624,554,224,605,761,755,875,064,511,967,969,124,838,
557,690,633,442,812,927,470,637,086,002,728,725,243,592,375,000,354,217,946,
666,722,603,829,981,499,071,863,963,971,262,605,339,018,506,113,931,214,912,
149,769,775,095,161,242,563,896,310,290,287,034,754,921,102,125,188,911,011,
988,654,143,138,798,608,035,622,490,999,842,924,144,630,989,632,107,090,536,
635,320,164,448,421,041,024,217,773,414,441,677,680,000,030,653,098,063,337,
905,957,757,486,389,808,633,578,866,337,872,104,896,003,659,100,333,780,960,
707,219,288,992,345,645,687,372,373,812,513,250,714,520,603,991,497,088,763,
333,245,133,533,271,046,036,168,769,383,548,660,328,972,715,943,968,785,964,
486,216,930,292,633,816,335,382,915,162,461,842,600,191,690,261,334,743,398,
093,269,230,794,752,962,178,926,047,023,901,498,053,698,408,834,594,918,993,
465,881,751,504,082,659,767,921,948,908,008,561,141,560,073,838,473,117,841,
239,464,196,317,806,228,050,457,525,230,662,354,874,959,886,243,377,364,672,
733,654,707,084,701,992,009,254,414,575,443,981,849,532,531,493,978,242,372,
187,940,549,938,989,572,284,871,552,221,536,899,767,398,924,324,343,463,784,
103,246,431,125,472,203,001,611,869,101,253,150,162,994,807,507,193,475,791,
557,499,164,483,882,957,797,325,278,502,570,856,579,200,147,671,859,212,156,
783,673,803,749,239,663,143,422,583,359,110,472,084,758,662,724,616,049,072,
201,175,881,897,328,843,535,618,617,318,386,777,923,895,328,189,044,874,115,
688,372,465,493,454,545,479,433,813,522,178,048,335,506,363,951,499,352,503,
810,855,963,604,270,675,208,282,456,811,499,383,373,992,165,522,837,269,999,
406,387,496,250,624,616,721,789,730,954,827,082,715,596,967,792,157,633,681,
130,101,200,020,650,229,392,042,231,697,235,262,154,586,576,641,366,462,995,
549,715,680,361,534,434,152,338,042,287,881,494,966,114,304,884,354,331,024,
539,299,496,842,201,096,304,526,552,176,896,228,192,722,480,012,910,223,238,
467,709,436,874,275,239,909,443,106,884,806,968,009,115,434,005,043,494,305,
089,190,827,008,801,860,619,091,125,635,655,321,602,441,117,224,218,750,144,
716,023,896,052,371,603,781,077,103,215,080,568,232,786,278,576,712,647,622,
952,966,676,102,899,224,698,967,790,918,305,405,926,081,176,748,143,631,278,
635,978,265,239,939,994,096,389,114,712,944,347,833,426,981,362,618,098,088,
296,003,080,455,409,255,770,231,200,558,660,648,673,812,386,705,168,476,878,
906,160,378,481,932,026,625,455,804,425,315,825,701,607,000,942,978,405,967,
099,404,533,621,078,084,744,661,132,029,181,279,212,523,462,099,991,792,697,
297,019,735,739,076,057,455,923,500,595,441,450,388,976,142,625,683,918,654,
472,836,317,768,865,245,748,513,160,914,902,729,244,702,714,947,222,112,090,
610,765,507,179,464,937,299,761,832,303,822,639,183,421,304,619,029,664,759,
094,588,526,934,398,756,211,809,224,567,178,687,319,096,371,519,165,506,001,
661,570,577,073,397,562,073,580,063,701,261,514,254,377,391,693,457,541,470,
112,753,929,731,315,981,367,184,419,874,943,817,690,861,097,265,416,976,324,
395,484,291,312,722,967,907,031,391,945,223,085,325,537,103,348,838,440,363,
162,911,830,281,269,993,860,590,588,435,057,846,708,375,443,912,221,690,689,
282,163,958,142,063,738,314,271,139,849,018,142,716,168,160,040,385,256,925,
937,531,427,189,150,672,085,940,853,949,917,888,778,644,893,007,844,744,866,
283,505,397,319,301,103,372,763,718,602,074,751,304,707,182,474,110,497,146,
640,547,233,330,934,694,838,858,004,581,309,006,146,539,128,945,703,482,268,
559,328,913,943,955,966,408,348,574,628,693,322,945,977,232,167,174,623,360,
757,315,995,054,096,330,126,470,334,617,497,855,484,015,794,839,186,675,130,
797,445,590,513,768,499,651,978,909,585,339,496,688,555,680,374,413,945,208,
107,280,356,940,896,243,038,351,120,891,771,797,496,650,741,411,784,194,307,
275,845,122,330,276,827,432,032,958,642,416,066,499,200,938,755,685,525,195,
891,191,654,766,432,844,450,946,743,657,107,409,780,033,506,262,972,171,056,
119,074,610,617,584,125,320,544,039,420,726,575,617,450,924,763,731,077,061,
874,428,037,646,965,699,756,662,415,531,866,312,411,276,593,708,645,037,105,
589,317,979,514,294,076,228,627,091,485,330,236,992,830,330,402,513,121,098,
456,273,671,626,963,926,198,431,635,263,464,762,822,122,771,496,663,500,011,
716,850,916,604,138,373,682,615,645,154,729,169,302,750,199,250,782,636,414,
776,539,109,351,157,014,593,961,381,628,814,455,189,461,349,238,061,343,976,
322,239,410,526,489,452,633,744,876,168,383,436,105,393,387,428,153,258,760,
552,628,796,154,426,699,107,269,929,780,999,201,929,588,866,714,692,367,927,
698,682,886,857,441,690,474,397,783,448,616,014,789,497,462,079,036,310,329,
223,420,668,033,678,394,292,033,435,283,804,680,887,496,345,097,527,932,887,
639,426,823,654,780,116,439,948,376,546,889,026,058,530,975,645,364,941,615,
636,342,975,516,160,040,433,822,369,226,383,400,037,173,288,000,748,960,265,
412,104,725,145,460,858,584,667,883,232,840,851,865,162,074,279,077,244,158,
610,753,476,629,197,295,215,231,730,571,348,110,232,396,710,904,581,449,582,
809,416,837,583,356,940,387,605,624,143,443,608,689,634,614,916,986,215,834,
257,133,622,510,130,599,971,753,010,782,002,766,709,107,612,238,568,391,882,
107,415,364,146,120,681,051,305,051,220,884,385,671,769,373,977,947,598,261,
373,388,272,282,152,856,729,099,714,334,240,233,078,417,052,919,192,337,898,
986,606,268,171,654,572,798,452,960,569,618,754,511,461,084,816,144,700,118,
198,245,718,105,790,999,237,424,528,621,508,842,423,933,532,718,407,989,937,
676,950,192,477,789,308,602,594,061,865,538,920,882,607,701,090,911,231,737,
087,278,649,661,708,152,174,072,996,873,646,634,185,479,011,756,457,218,221,
308,969,671,701,895,095,491,346,484,542,936,800,833,317,882,099,924,931,383,
605,513,276,430,238,736,271,168,481,032,076,540,159,142,788,674,107,777,080,
649,128,254,063,614,653,037,510,257,298,941,544,132,101,083,632,821,254,584,
693,015,212,267,749,488,075,826,900,131,531,402,981,555,811,652,660,385,806,
233,079,625,739,705,188,291,863,904,687,080,985,196,277,386,020,910,823,864,
406,582,859,460,073,238,205,499,390,174,592,291,867,099,415,342,547,209,999,
946,240,221,661,999,230,701,026,960,060,437,546,174,716,618,940,337,038,832,
090,399,134,606,561,846,683,988,090,873,049,939,433,372,662,138,876,739,215,
450,798,633,929,115,538,000,382,784,914,975,455,495,651,122,498,561,686,407,
694,549,514,315,349,631,837,866,539,246,745,019,546,437,874,109,873,681,620,
615,887,081,601,219,099,550,451,768,850,522,920,870,210,873,111,000,151,689,
435,752,875,610,769,280,347,325,672,014,118,994,468,925,750,426,505,693,142,
338,658,207,128,378,336,071,675,798,271,514,800,301,921,597,251,774,943,039,
922,973,752,470,810,535,489,455,049,793,800,111,982,995,240,590,183,821,607,
199,681,207,739,498,345,001,335,972,130,643,545,331,724,333,662,253,421,957,
114,198,678,234,369,590,228,836,277,659,950,426,923,910,051,385,249,011,699,
942,514,678,209,653,134,617,626,111,532,298,317,486,761,013,152,259,681,257,
049,326,522,209,548,604,536,819,152,756,333,129,166,554,912,195,564,307,804,
337,583,060,979,083,437,494,893,544,656,034,820,851,692,438,266,645,195,896,
330,544,424,113,445,744,869,826,535,363,114,510,618,802,482,387,937,177,189,
886,307,837,949,871,174,408,473,017,997,188,650,837,353,335,499,945,122,899,
145,563,972,015,209,527,231,950,165,599,965,056,077,616,408,050,211,857,221,
191,695,899,409,085,235,384,942,514,975,030,838,901,121,586,009,103,747,313,
259,698,428,323,707,217,078,640,303,107,577,132,756,980,869,344,164,322,088,
117,659,263,197,424,140,747,419,136,901,289,433,989,143,468,945,517,271,175,
217,195,194,706,177,502,460,022,540,371,828,992,340,202,576,137,375,632,396,
920,336,733,526,625,023,989,775,866,256,030,864,275,591,270,880,394,215,205,
851,966,644,814,119,305,731,675,073,841,156,804,505,676,796,567,133,694,678,
424,486,577,210,328,428,119,195,867,191,682,941,807,567,327,225,568,580,405,
130,186,748,410,731,952,059,929,705,058,908,818,876,350,033,165,229,491,080,
600,072,912,572,678,704,908,317,787,480,828,268,328,607,471,521,483,916,791,
937,078,201,337,676,133,725,823,618,458,930,508,166,283,350,272,746,374,600,
596,973,114,655,094,410,822,116,625,712,557,372,818,959,664,999,796,550,786,
864,448,681,932,263,570,847,826,888,189,434,981,115,690,848,726,013,678,507,
827,928,375,833,497,786,772,325,613,587,220,487,975,744,359,053,341,241,384,
915,474,173,520,955,494,151,492,826,845,238,615,330,505,240,644,045,301,757,
372,331,771,882,045,162,239,387,121,361,648,334,089,206,940,278,835,542,636,
944,382,567,196,851,792,349,374,101,394,530,510,955,848,387,388,446,072,141,
248,956,492,834,454,845,805,265,028,499,474,306,224,940,259,291,324,394,408,
108,621,430,866,521,720,881,203,227,692,826,330,482,458,817,740,566,213,374,
465,850,771,522,757,869,340,944,149,747,488,588,532,164,467,957,386,529,878,
501,608,698,294,966,864,037,223,170,468,746,334,653,355,299,763,104,237,114,
851,336,389,544,325,763,088,733,689,953,142,939,454,840,853,193,216,046,719,
885,763,327,555,916,347,548,017,525,467,821,181,109,808,418,311,659,375,362,
622,174,828,973,370,672,765,557,974,158,136,733,937,036,595,142,732,718,590,
073,775,807,788,986,925,197,584,798,576,117,397,505,790,640,983,850,902,928,
395,722,047,046,127,992,896,122,861,530,913,826,132,361,424,292,846,023,023,
955,479,829,192,011,301,268,340,162,913,910,261,421,643,016,895,583,218,340,
367,991,778,329,346,806,017,718,969,378,482,814,845,500,686,185,489,883,232,
955,193,050,081,736,329,124,834,366,339,189,463,910,755,349,843,452,695,303,
945,652,738,442,535,897,612,264,157,500,202,740,343,561,214,218,145,102,404,
732,937,606,842,327,542,754,832,952,593,611,554,943,106,863,902,139,912,699,
091,315,990,987,047,538,204,491,806,088,552,670,694,701,900,504,532,557,005,
618,235,272,965,824,323,146,634,205,439,391,433,391,515,567,996,931,388,216,
753,264,419,731,130,193,133,235,815,948,035,439,051,742,821,285,534,495,651,
204,304,917,816,459,421,393,155,659,664,817,197,442,929,468,254,664,409,605,
076,724,908,916,332,237,398,245,415,555,469,452,224,999,135,352,372,208,736,
056,464,939,838,184,238,370,329,372,880,326,800,818,255,976,271,402,067,670,
315,603,085,092,627,688,555,205,781,095,681,890,580,780,018,591,798,358,636,
425,177,617,508,292,471,467,880,072,629,292,970,960,784,877,014,345,660,836,
041,052,001,120,719,977,699,633,250,652,816,793,425,877,530,171,427,673,844,
523,749,300,948,942,535,082,459,654,305,590,575,653,745,789,971,604,830,975,
539,352,080,953,312,254,866,074,412,498,247,901,612,878,112,351,805,093,514,
786,510,164,791,409,665,979,088,109,229,616,341,103,292,615,688,106,930,044,
319,726,900,685,481,557,484,775,240,778,114,418,369,012,768,396,605,862,080,
639,253,874,654,121,551,446,661,566,449,422,214,937,463,028,433,899,121,006,
255,969,859,325,364,009,104,693,435,312,088,070,659,578,515,237,923,730,106,
734,255,313,134,334,512,268,281,454,842,403,216,467,858,574,826,554,689,003,
691,803,626,614,847,668,797,174,824,542,689,317,937,624,223,931,614,999,541,
891,429,897,642,648,324,999,380,664,693,284,078,850,598,480,363,815,129,518,
832,045,154,702,419,884,079,686,920,482,542,075,684,533,165,972,210,505,210,
505,248,466,983,570,787,896,465,899,015,484,676,414,918,500,010,219,971,858,
764,893,922,037,818,584,932,806,443,036,780,201,521,416,791,282,534,162,951,
235,513,264,310,163,147,032,916,885,009,588,213,642,457,781,881,380,364,472,
591,205,934,864,162,497,562,641,650,309,317,138,447,783,133,969,045,848,519,
456,229,672,273,166,917,106,702,128,957,036,850,860,445,290,626,296,056,895,
032,164,221,672,302,824,848,371,661,834,134,406,521,049,187,918,529,789,907,
463,752,551,497,430,122,534,212,564,377,878,371,403,191,451,168,999,202,648,
211,540,969,687,793,148,337,639,399,261,410,223,595,907,583,756,453,255,916,
316,092,356,692,509,732,825,099,459,343,389,471,661,004,220,533,319,159,460,
903,529,584,797,278,458,520,941,897,036,384,936,984,374,568,932,356,560,445,
960,186,559,852,834,739,652,530,248,751,048,842,254,006,056,452,976,082,662,
061,806,763,857,062,081,099,095,452,425,882,875,986,324,312,770,114,844,467,
420,920,542,045,336,721,326,435,347,329,693,197,199,052,716,165,776,165,717,
322,626,693,482,992,826,930,123,847,833,784,028,357,411,567,296,657,190,996,
202,176,304,328,510,296,100,256,974,584,911,171,396,880,319,841,252,061,275,
521,011,644,334,703,313,952,339,664,983,852,925,188,408,031,021,113,701,158,
166,661,497,288,370,081,142,021,688,875,394,324,856,778,369,666,183,307,787,
662,464,968,653,617,307,089,033,423,139,859,989,821,013,915,885,339,380,497,
867,699,952,003,091,445,805,641,862,743,153,971,046,478,762,011,917,488,994,
083,446,137,575,432,548,443,268,656,626,660,774,282,360,337,103,680,200,992,
317,428,384,122,431,218,704,618,771,497,151,892,116,991,566,003,675,060,163,
773,216,729,891,878,762,940,574,617,735,821,180,748,694,880,324,308,350,745,
785,688,536,731,943,824,875,550,708,473,018,273,265,743,833,743,411,170,754,
702,752,708,987,587,714,682,122,226,006,301,821,426,328,652,984,112,741,693,
165,332,325,145,459,285,928,597,311,296,124,079,139,142,124,806,938,321,033,
185,320,442,817,145,839,165,750,559,100,476,539,375,180,114,349,037,239,039,
929,428,389,647,350,566,398,753,903,524,191,537,512,093,030,425,596,128,593,
075,986,275,976,616,082,272,768,062,021,442,564,550,021,294,911,379,941,384,
670,860,552,813,525,719,485,845,285,451,786,746,301,996,715,342,055,637,190,
992,880,390,632,994,879,942,529,326,636,435,221,089,881,264,563,738,656,606,
709,796,421,800,413,696,293,750,973,345,496,755,502,502,962,508,787,367,201,
061,564,412,556,081,182,210,208,662,880,375,408,293,686,841,282,608,351,802,
325,320,661,339,590,281,734,522,278,491,247,092,318,948,405,258,493,657,726,
115,890,072,902,253,643,669,671,193,510,654,769,595,470,168,590,108,649,728,
621,693,273,459,743,495,587,606,189,902,937,749,455,902,979,732,478,065,030,
718,986,824,757,074,779,988,495,803,623,736,653,761,428,871,013,938,501,430,
992,697,025,249,762,468,185,986,957,392,100,094,668,169,804,927,959,885,729,
317,269,222,103,043,786,717,462,898,783,401,601,335,588,529,822,049,806,840,
567,279,491,897,417,233,091,151,489,772,322,689,030,793,861,204,076,975,599,
332,168,337,901,466,798,008,263,097,084,972,891,420,493,270,135,013,749,951,
719,757,809,361,263,100,951,087,366,671,316,364,685,745,125,788,139,575,060,
717,438,254,060,712,560,054,573,835,282,491,283,931,948,586,876,226,020,136,
171,364,938,206,260,619,006,993,396,676,736,211,449,333,182,706,822,300,777,
631,654,269,462,542,480,454,899,559,573,417,301,694,036,168,795,821,221,595,
156,880,671,959,144,814,055,960,151,913,646,248,934,144,936,813,478,676,315,
991,398,791,069,763,072,816,788,403,213,102,319,330,586,195,104,397,478,910,
992,521,682,878,129,127,241,942,512,503,488,912,336,170,311,330,862,756,717,
300,596,008,390,792,672,270,615,973,875,806,994,606,759,616,557,798,491,032,
011,345,243,296,043,273,981,087,682,328,773,150,155,023,651,902,319,018,702,
828,832,579,936,891,140,918,140,200,380,427,739,262,457,659,106,206,316,999,
404,321,328,787,117,763,848,840,954,417,065,073,510,144,397,587,830,026,423,
681,056,114,780,666,075,448,090,924,974,864,101,542,438,707,457,465,236,221,
845,996,302,917,310,365,926,762,176,184,919,340,458,014,220,889,444,125,946,
661,103,522,062,319,789,750,577,081,364,956,275,825,272,407,950,539,856,907,
087,860,743,637,440,112,180,165,259,083,917,200,259,243,057,329,266,880,390,
202,127,473,178,200,721,821,736,239,724,208,348,451,046,376,315,649,974,997,
076,997,016,788,942,672,398,567,957,762,127,304,989,037,365,767,436,522,980,
786,012,283,033,852,271,114,778,962,734,336,503,097,811,139,489,269,337,160,
051,374,808,520,376,331,223,502,919,855,702,372,831,182,951,720,506,650,020,
002,739,737,041,183,082,987,605,957,522,376,174,198,724,775,006,727,281,558,
649,046,424,483,320,236,640,729,228,029,019,181,040,090,118,636,148,034,487,
930,858,524,781,424,729,508,611,210,501,356,492,717,110,115,599,197,004,131,
225,956,209,160,980,986,957,429,756,828,659,652,200,115,566,839,060,216,947,
283,754,648,849,882,465,181,826,622,566,846,264,594,564,788,213,762,161,621,
138,015,900,130,681,095,531,673,876,685,840,348,279,036,579,424,094,877,939,
899,011,345,226,528,522,535,571,985,020,957,878,602,676,518,418,294,706,128,
065,458,131,848,028,128,200,339,736,048,817,953,628,568,679,529,410,763,199,
621,909,898,780,859,127,650,280,245,618,076,425,030,964,768,995,815,643,430,
340,458,678,368,298,824,932,474,783,729,119,963,873,679,763,546,595,312,302,
899,781,347,407,340,657,668,556,179,136,139,562,403,493,550,030,718,536,166,
739,602,458,261,735,500,843,973,160,517,075,064,391,521,958,293,550,206,554,
162,276,990,116,881,193,988,376,633,128,641,744,368,509,954,086,110,980,835,
819,028,121,697,129,983,167,388,107,384,972,216,888,104,816,434,150,898,526,
465,867,628,142,123,333,480,335,459,234,731,524,625,683,765,649,488,539,254,
559,720,564,992,768,298,285,040,168,224,123,138,736,702,298,432,643,983,670,
864,225,219,414,307,324,819,719,012,452,843,893,873,530,947,033,235,174,513,
155,546,967,606,831,163,369,379,166,364,948,587,889,872,015,644,033,203,133,
563,456,067,576,918,816,878,899,978,809,017,305,456,321,177,034,518,576,029,
478,213,666,785,609,924,539,978,362,550,912,032,739,695,796,542,478,607,179,
514,249,633,481,913,159,061,684,801,715,656,153,275,266,456,273,208,949,699,
345,517,466,024,684,889,938,683,278,569,061,240,710,272,617,185,211,915,603,
733,150,475,982,381,551,404,519,649,108,537,224,999,845,371,484,186,827,908,
043,219,312,795,337,420,704,084,304,583,197,769,821,107,820,901,812,016,959,
001,615,768,151,264,154,580,851,243,342,964,348,950,712,436,740,473,239,308,
677,604,001,750,888,419,286,565,412,482,401,579,403,923,880,356,643,977,886,
581,216,282,473,845,380,618,524,599,797,661,634,528,882,353,404,055,533,231,
150,841,626,083,495,113,028,610,184,653,466,611,303,604,799,390,691,545,621,
756,165,014,481,083,723,431,641,109,611,034,706,200,138,340,931,341,621,278,
768,832,783,332,242,489,315,066,369,049,602,916,849,442,832,902,091,857,548,
014,022,215,152,627,490,288,056,051,246,588,172,977,173,963,953,909,455,307,
389,788,525,210,668,459,798,401,709,753,743,041,217,314,375,861,049,979,317,
764,174,110,056,995,352,702,141,554,719,006,274,795,842,202,914,016,132,161,
447,710,185,076,608,950,669,856,149,957,108,618,793,575,810,646,169,884,139,
699,614,914,599,627,548,187,223,192,528,534,599,215,525,929,715,892,254,581,
839,678,119,610,182,736,688,608,577,600,750,036,356,107,374,114,901,215,955,
686,911,513,192,737,196,841,409,694,236,671,593,976,495,248,397,177,933,917,
889,345,236,381,675,091,408,304,311,333,756,302,139,897,303,437,050,311,020,
848,523,632,536,751,810,032,938,587,419,759,302,672,216,685,127,805,977,738,
669,673,068,133,394,777,903,203,652,948,985,148,679,180,780,629,230,630,938,
724,827,285,410,836,268,542,789,113,723,611,642,805,288,540,095,976,082,644,
990,871,374,985,700,450,253,941,548,733,835,987,293,799,096,880,731,608,748,
574,389,061,233,494,592,316,322,310,613,323,056,417,186,685,826,724,349,591,
138,631,371,890,119,523,757,470,380,525,119,417,709,287,639,258,869,338,139,
511,411,522,229,098,704,733,628,761,514,633,887,927,287,496,123,721,169,596,
583,952,156,725,663,374,832,910,679,129,210,627,707,977,008,540,766,764,568,
507,449,351,486,146,686,404,078,966,355,995,756,088,985,920,781,791,237,172,
123,635,161,686,441,436,843,410,124,268,952,205,507,181,846,893,644,954,686,
814,779,184,943,277,751,807,978,344,604,987,549,161,931,107,934,557,372,459,
376,716,075,783,367,374,371,564,508,929,512,269,913,875,210,867,907,307,844,
836,468,709,177,633,063,166,810,875,392,197,396,123,369,521,060,315,742,949,
142,651,756,422,261,037,684,511,424,654,406,741,485,370,860,403,506,989,171,
169,288,114,999,492,072,471,008,851,914,688,540,604,805,515,738,854,775,818,
726,064,369,267,045,827,402,859,002,007,863,099,099,697,886,725,692,305,304,
344,747,093,715,684,695,144,151,034,981,819,077,144,636,277,238,784,383,043,
365,555,140,140,618,506,842,385,949,168,556,822,844,552,943,144,423,740,583,
179,709,392,530,336,721,533,200,549,848,037,978,260,910,544,582,524,280,639,
142,641,120,499,048,038,941,283,131,455,632,093,202,522,178,206,628,174,404,
451,392,763,054,506,195,280,508,605,621,138,131,448,144,982,456,398,068,384,
524,088,463,245,380,304,398,904,411,412,133,507,649,496,894,222,223,628,658,
068,971,194,818,585,379,431,570,933,478,484,793,415,308,680,369,972,240,984,
400,514,520,671,789,076,643,893,855,511,775,487,828,585,886,356,275,373,800,
658,458,202,461,218,719,740,860,657,962,300,078,137,775,178,348,883,008,791,
261,668,414,186,809,258,177,077,016,171,464,036,102,864,173,378,718,860,565,
894,882,796,814,495,496,372,671,506,978,000,773,120,283,482,693,217,789,861,
339,985,126,766,353,109,488,938,321,042,789,544,826,852,029,782,905,886,350,
974,337,537,361,415,183,920,690,053,781,968,198,925,580,624,034,557,127,007,
736,721,674,871,208,473,860,823,392,459,458,060,533,848,158,701,257,359,298,
563,307,172,019,515,832,750,143,033,221,595,627,244,291,639,801,079,633,843,
692,664,709,472,117,248,802,181,957,848,999,386,206,507,796,201,374,693,756,
185,365,864,799,946,596,381,896,283,958,280,319,351,374,526,498,675,610,690,
221,121,253,799,091,698,387,959,460,896,592,436,493,818,653,127,549,892,120,
743,755,708,362,870,379,835,270,992,477,296,935,388,160,077,268,811,796,180,
567,274,291,045,265,435,476,681,668,596,852,804,483,931,336,644,427,567,256,
234,174,409,529,134,937,583,978,548,299,278,107,471,158,753,604,693,748,997,
579,492,457,438,781,298,039,045,963,296,071,729,464,398,655,053,881,116,711,
905,937,322,877,406,572,742,129,072,981,880,421,868,000,817,594,494,834,361,
290,125,436,265,595,097,750,286,754,660,552,579,137,743,800,239,853,318,485,
230,632,037,227,591,517,741,162,341,357,291,971,860,402,849,874,629,617,151,
329,413,416,471,221,560,470,845,785,515,065,391,781,453,475,557,901,986,979,
051,589,916,126,979,716,705,042,095,757,654,758,998,790,989,348,932,325,506,
378,704,006,409,925,049,106,800,331,176,107,813,805,484,525,629,037,664,478,
505,385,098,850,117,765,917,471,198,162,971,287,662,205,894,839,381,646,526,
767,183,028,693,226,849,407,600,013,510,177,333,520,326,949,847,143,099,962,
584,604,306,433,781,757,398,517,723,605,192,112,493,824,399,338,248,149,055,
158,964,657,805,986,410,988,416,862,101,787,444,929,829,368,036,058,542,518,
962,576,153,489,489,706,782,712,821,517,152,958,653,845,530,675,829,125,707,
941,242,000,839,763,841,379,273,722,288,395,861,801,911,149,183,957,602,137,
842,378,038,206,767,839,539,100,795,576,915,418,931,657,894,804,784,640,835,
852,332,020,740,110,871,956,902,094,634,932,474,394,709,447,642,672,814,706,
378,319,767,585,754,408,540,631,573,035,902,030,409,184,616,138,585,136,259,
195,565,981,796,381,481,369,814,899,208,283,276,634,934,483,090,360,836,593,
378,591,173,756,469,576,458,057,994,808,516,159,434,047,184,528,128,194,475,
290,917,976,362,766,309,109,955,321,706,317,599,444,584,458,647,205,376,271,
680,920,285,535,599,993,419,002,870,915,507,008,743,583,910,313,311,558,727,
947,482,666,076,666,790,792,739,194,230,990,773,247,587,866,203,047,587,206,
360,848,278,292,945,902,092,536,705,530,702,311,935,554,798,640,880,226,673,
087,882,705,213,375,842,381,419,781,482,664,229,058,603,859,370,828,446,482,
397,520,354,103,867,148,520,738,170,394,878,489,546,942,513,566,820,014,993,
327,831,620,053,111,801,338,297,419,452,815,845,410,179,763,915,174,165,239,
115,204,830,309,554,554,506,123,792,002,442,670,095,991,513,753,361,462,200,
750,852,672,432,864,845,544,375,957,080,583,505,548,028,067,706,395,723,227,
799,235,335,369,281,573,156,155,388,525,400,692,162,811,150,698,722,710,619,
909,241,653,710,690,821,868,209,545,831,027,932,943,296,664,114,835,530,931,
040,783,580,898,316,762,496,374,571,313,965,283,277,627,023,201,315,213,319,
511,634,606,396,538,171,903,896,830,598,587,446,658,509,509,404,904,660,429,
550,989,495,790,806,357,374,410,671,351,590,193,945,780,438,509,271,288,811,
112,976,848,561,398,800,006,496,169,881,935,554,554,904,224,704,970,568,101,
621,903,913,952,894,925,383,700,678,577,589,254,406,656,790,633,242,356,450,
973,782,237,022,447,578,741,505,884,790,510,479,179,526,879,009,830,921,286,
911,515,411,125,461,678,310,411,019,938,985,432,052,270,050,725,784,891,209,
534,860,137,405,362,020,877,150,753,631,397,941,356,622,404,445,673,881,210,
855,661,501,833,078,891,628,717,692,122,964,592,084,531,987,466,840,246,036,
678,309,208,999,647,748,294,314,842,421,470,148,350,844,464,706,649,258,131,
031,878,810,084,394,225,949,788,417,470,028,310,533,050,281,850,200,124,134,
584,763,142,416,673,373,088,856,193,749,463,303,017,129,376,365,567,245,279,
208,809,085,205,055,309,833,398,594,403,626,541,890,877,010,464,479,190,538,
911,575,501,931,196,442,713,679,538,565,257,464,429,832,065,275,780,289,813,
491,532,101,424,292,403,043,841,104,017,312,104,720,296,309,048,826,504,547,
742,957,399,381,135,354,488,776,925,860,089,894,597,863,330,304,918,721,290,
515,220,763,334,906,203,287,544,268,019,306,074,705,662,285,875,219,558,634,
843,144,841,238,958,589,504,851,350,976,101,921,073,005,288,708,971,493,371,
754,029,227,700,360,591,158,024,445,856,229,679,800,591,355,257,627,569,914,
501,919,533,196,164,056,213,884,746,294,903,784,785,967,916,479,188,175,533,
377,924,193,730,488,763,398,629,654,174,723,244,825,864,054,976,955,204,618,
888,895,540,840,000,081,608,140,448,879,925,002,594,064,531,130,822,214,138,
848,849,734,762,234,705,670,010,599,568,537,488,723,969,806,401,374,096,379,
407,369,794,321,048,519,630,075,477,191,918,387,139,456,218,172,472,754,790,
159,936,221,546,683,531,638,426,196,298,940,328,080,005,963,680,706,008,301,
000,489,877,817,068,262,119,585,595,857,271,390,124,476,863,213,204,226,664,
800,582,794,987,397,864,773,790,799,625,416,124,517,390,735,036,825,475,286,
039,431,289,000,877,822,091,668,953,410,603,145,025,828,833,225,743,322,809,
564,498,045,434,886,636,820,008,159,390,528,963,627,613,644,046,627,107,968,
790,649,818,444,844,051,555,172,640,047,196,523,602,461,445,076,311,815,276,
108,277,224,156,597,143,210,021,944,437,657,604,217,725,882,476,585,473,279,
545,703,290,002,695,678,562,018,319,940,713,909,772,552,400,949,557,980,529,
834,141,817,661,473,482,641,921,273,208,242,310,537,537,376,362,476,832,148,
256,383,854,102,862,868,507,406,846,171,717,933,103,232,175,897,204,382,215,
931,114,261,559,245,274,656,490,731,933,696,785,993,525,533,849,838,534,738,
925,306,017,299,050,586,333,368,986,046,691,598,939,022,357,237,185,713,614,
633,598,734,312,664,767,016,723,437,265,394,454,278,206,543,811,317,602,203,
038,883,626,376,912,452,933,912,037,699,618,398,288,706,878,798,964,723,909,
410,934,028,476,122,538,002,378,978,526,750,905,438,581,365,890,368,080,055,
771,891,408,067,383,024,165,433,579,612,921,924,161,778,146,663,625,750,787,
255,698,681,389,617,435,374,597,702,043,388,461,080,030,266,490,206,592,109,
988,767,628,272,259,485,644,331,080,435,200,559,678,237,389,988,959,647,668,
860,061,590,226,419,249,703,403,461,314,754,984,916,195,395,123,225,656,413,
815,827,404,694,917,540,239,248,897,957,922,681,480,192,176,282,968,275,144,
768,373,458,454,433,705,611,047,382,030,798,390,917,516,148,921,100,504,226,
641,511,634,454,887,032,282,337,712,794,716,104,190,093,798,838,079,570,483,
121,433,483,210,518,207,771,734,541,493,122,985,046,261,863,484,677,391,814,
144,826,756,861,299,321,151,475,687,202,432,040,246,915,647,026,822,594,727,
624,199,750,031,929,096,716,556,726,055,283,787,673,654,308,650,878,280,775,
216,475,122,517,785,477,788,326,900,379,623,137,035,615,580,498,716,448,129,
202,611,303,747,082,341,528,726,022,140,079,093,205,968,805,025,688,421,361,
137,251,175,082,876,610,294,739,400,358,293,133,503,658,405,936,128,187,160,
053,255,646,053,753,467,734,911,860,200,908,069,138,532,803,469,537,615,633,
119,126,363,549,396,665,233,997,798,783,754,749,593,699,688,664,359,382,857,
914,391,494,700,123,057,416,897,512,395,070,274,597,910,346,639,078,614,374,
567,589,265,047,012,740,764,592,519,017,380,860,223,548,661,458,177,706,059,
126,212,896,973,951,416,045,757,654,776,486,341,454,253,127,952,083,348,121,
742,193,966,721,071,391,409,711,861,519,433,508,410,253,758,916,896,951,923,
671,992,387,876,709,638,270,331,681,490,357,145,809,002,593,096,673,839,999,
497,322,150,252,030,838,552,961,319,003,811,433,195,845,629,257,206,285,793,
356,697,709,621,391,993,780,964,073,481,929,721,119,445,599,553,412,377,625,
661,399,061,313,566,407,155,254,805,775,081,755,148,540,465,818,907,321,979,
764,822,960,072,166,203,217,371,814,518,864,547,089,012,666,407,273,496,121,
961,634,482,282,833,217,483,239,924,044,837,669,448,845,030,374,935,293,480,
702,065,154,122,492,111,094,870,241,666,166,075,292,178,810,441,191,970,502,
491,565,084,882,574,474,286,468,841,627,436,540,881,191,639,284,619,128,396,
027,339,626,470,418,389,010,432,004,376,872,019,453,287,217,090,669,009,773,
879,449,453,231,501,283,736,516,397,449,821,614,843,210,922,615,663,540,021,
047,818,477,704,542,967,876,148,443,332,334,496,756,969,034,458,279,827,820,
735,194,846,044,767,069,523,701,237,514,944,204,333,240,572,622,038,779,596,
224,705,773,467,889,362,140,178,187,829,671,162,551,180,702,531,828,712,594,
597,162,362,366,628,648,853,527,322,103,801,270,401,756,740,881,077,580,394,
030,714,084,956,350,543,104,714,343,138,287,761,087,221,660,858,437,520,075,
657,689,041,545,496,848,810,173,032,712,855,386,645,004,390,465,209,133,986,
406,266,623,322,618,001,931,227,805,004,152,059,351,659,361,189,507,475,865,
372,001,925,444,062,177,946,501,468,243,441,438,153,463,904,352,923,548,522,
543,935,604,349,598,423,829,208,573,192,937,275,097,956,226,862,751,012,286,
617,683,808,353,702,166,967,918,145,056,256,786,062,529,673,044,867,146,113,
734,026,830,594,483,598,106,307,064,356,735,799,469,097,509,424,466,160,852,
787,785,027,794,638,115,679,681,449,297,163,227,576,931,791,447,574,105,952,
999,458,815,523,188,768,268,972,177,288,875,069,162,282,224,787,328,938,353,
945,144,428,898,312,722,812,619,838,748,027,735,608,642,565,146,102,823,223,
727,325,623,436,012,154,602,852,347,530,829,700,415,825,174,646,350,323,913,
161,982,012,256,278,767,489,313,879,206,678,114,474,076,067,944,382,165,719,
781,068,058,866,206,705,429,574,745,695,333,979,740,279,135,513,145,707,741,
053,061,240,366,316,847,923,176,296,860,073,961,226,587,838,271,134,062,044,
448,788,484,238,055,383,433,003,813,892,724,477,117,120,816,967,628,811,999,
564,808,660,413,330,709,959,822,760,486,607,027,169,716,084,805,032,698,285,
408,033,264,734,256,968,603,810,867,159,684,261,642,169,264,935,999,504,230,
703,585,937,540,232,522,167,393,418,356,206,466,248,682,806,174,324,802,972,
372,505,386,211,715,662,623,536,882,605,047,904,977,422,648,732,714,846,124,
024,275,077,299,830,759,189,196,815,512,206,185,421,392,096,728,470,592,787,
895,462,248,987,607,045,642,312,277,451,165,638,146,929,662,466,220,288,380,
152,970,435,438,426,217,072,060,859,019,583,951,777,380,687,460,476,924,440,
471,474,145,876,953,331,705,931,907,873,714,433,631,438,023,169,890,951,654,
437,801,064,291,067,814,635,595,088,724,821,998,063,208,907,136,981,333,120,
167,486,166,828,232,711,179,564,824,808,592,153,860,161,183,251,077,598,088,
545,202,318,718,441,404,965,266,795,506,786,398,298,010,905,584,824,466,986,
576,949,102,564,888,750,856,105,255,551,940,749,755,614,336,148,673,114,305,
485,608,339,942,754,650,661,744,918,305,906,558,568,936,234,280,234,452,204,
352,967,308,185,520,705,746,337,830,333,017,046,522,771,953,655,662,381,907,
292,848,550,340,986,326,351,790,390,118,327,707,220,224,032,997,849,515,597,
761,463,513,083,379,309,494,136,119,578,800,471,066,571,847,168,577,582,427,
201,787,280,025,437,864,236,762,335,730,136,532,502,624,423,719,813,551,781,
384,214,268,556,274,839,438,669,553,188,533,154,403,768,459,500,215,643,318,
308,542,250,352,012,010,351,975,032,614,350,683,215,740,382,912,692,896,758,
724,921,216,448,890,764,686,732,630,643,160,841,391,665,045,765,334,871,352,
811,162,507,775,350,932,029,644,074,793,500,002,791,373,158,437,333,603,158,
533,296,185,003,132,257,162,949,218,591,921,738,770,990,578,123,130,295,779,
537,570,450,177,592,745,944,897,038,637,517,136,351,490,575,688,941,290,529,
739,040,360,796,351,035,354,652,231,705,264,837,142,338,811,505,052,387,358,
834,721,836,655,749,958,649,446,371,816,843,077,381,097,094,883,472,740,631,
972,236,849,343,162,750,433,526,118,358,212,192,471,482,305,661,564,702,757,
121,013,979,693,033,185,430,384,872,469,157,550,587,735,832,126,541,905,821,
783,503,565,870,218,548,616,349,186,848,945,032,367,587,721,503,159,269,674,
925,432,086,680,217,266,808,193,313,457,289,286,323,689,925,131,527,856,199,
779,743,085,946,556,401,866,369,093,711,943,488,022,865,113,688,543,859,320,
835,439,931,418,531,672,043,237,718,630,584,427,986,373,364,770,483,364,356,
541,655,140,058,951,221,495,878,671,323,442,743,169,193,463,278,239,413,111,
822,032,251,406,482,435,930,620,699,810,659,761,492,604,485,392,448,125,316,
852,995,794,568,099,583,610,634,560,640,448,716,522,852,197,140,017,230,521,
643,462,609,568,347,976,206,054,429,318,089,059,669,423,644,639,442,896,547,
229,900,389,668,298,271,117,167,599,878,566,794,887,215,220,230,310,480,807,
317,548,304,795,821,864,599,808,553,240,914,442,801,109,159,170,744,352,604,
358,966,991,250,099,209,644,277,863,040,754,862,864,889,794,250,783,652,215,
496,535,738,209,247,549,474,195,094,646,734,147,385,095,229,640,611,043,988,
490,167,405,757,069,838,894,909,124,264,882,077,331,454,011,666,989,006,748,
696,527,163,620,174,070,951,188,828,487,163,931,758,404,265,019,009,230,449,
372,783,677,930,019,092,831,249,627,595,265,382,566,668,599,227,330,437,174,
516,890,647,740,028,611,108,494,902,265,910,598,945,942,199,472,765,399,607,
658,823,575,787,972,066,188,441,236,085,066,444,614,707,702,552,636,787,863,
585,188,851,759,621,885,048,294,264,266,473,410,446,549,838,112,507,570,029,
872,117,225,303,137,786,771,885,266,598,096,706,968,745,893,475,415,059,211,
178,584,858,970,082,016,695,872,022,094,080,684,124,774,808,797,676,370,302,
910,919,982,936,038,527,269,831,704,094,788,272,643,762,122,832,703,535,204,
409,083,911,899,075,749,325,153,612,821,818,228,707,225,570,347,800,714,660,
137,334,710,698,930,281,588,005,089,369,962,933,936,515,845,904,279,527,263,
769,872,301,368,615,930,397,263,699,964,640,120,191,825,994,003,454,648,914,
882,297,939,998,637,884,846,224,542,651,652,450,151,062,161,283,477,832,210,
826,122,956,500,363,829,048,417,287,212,088,686,388,904,380,399,421,570,412,
391,830,071,384,603,396,539,373,856,184,278,670,574,765,269,745,934,075,400,
296,618,304,582,786,635,547,402,555,982,637,129,968,636,332,418,930,069,218,
526,179,161,054,416,764,401,270,308,616,706,244,895,644,325,855,688,819,274,
326,678,776,212,481,774,132,874,674,776,737,931,864,259,845,017,510,926,091,
091,405,578,802,029,747,809,614,954,149,082,958,267,096,007,558,613,067,048,
671,376,817,665,650,261,386,632,976,034,081,020,862,622,738,319,518,530,674,
786,772,757,677,664,020,405,022,347,470,673,495,862,257,174,067,956,472,647,
524,994,616,441,197,867,819,769,982,429,963,847,835,723,898,796,205,114,887,
337,079,416,993,430,564,559,709,189,204,660,117,704,041,108,307,186,508,591,
498,894,131,987,674,206,326,024,634,791,849,860,115,701,149,629,131,983,776,
303,386,220,392,113,303,398,780,767,764,928,889,741,698,744,870,380,402,439,
218,308,179,388,242,287,229,086,678,903,402,833,711,400,085,495,881,362,081,
509,923,607,910,135,755,066,135,123,959,782,347,669,588,407,360,666,534,098,
797,403,240,479,341,686,888,143,405,433,696,065,720,596,252,562,663,871,857,
770,258,940,721,460,739,150,556,931,015,078,587,985,011,456,518,337,806,036,
173,924,257,869,260,672,702,270,718,428,601,074,874,953,645,070,402,022,039,
189,224,291,824,514,338,853,439,951,680,777,757,211,863,775,735,414,416,467,
734,550,432,177,598,457,407,926,695,524,204,737,279,444,533,481,292,609,774,
495,516,088,242,890,856,071,840,669,086,616,116,475,019,726,549,855,325,759,
589,432,469,936,926,556,328,914,602,454,856,554,249,987,828,772,929,177,926,
921,028,535,455,446,769,569,340,644,156,799,222,580,666,879,471,503,777,305,
344,944,104,811,078,391,230,095,393,186,872,322,129,300,303,328,524,006,734,
140,754,062,576,841,937,350,617,658,723,180,915,987,373,459,388,384,072,264,
138,674,808,944,897,959,478,229,898,772,928,375,983,416,674,413,319,371,474,
444,365,484,061,506,403,665,666,543,685,043,924,453,026,383,431,225,077,721,
780,854,326,862,219,634,370,444,059,811,950,369,583,196,998,476,418,777,193,
410,898,825,944,878,825,010,773,016,587,680,961,837,697,005,492,392,186,317,
872,707,138,267,850,603,788,056,397,011,872,742,658,473,410,988,338,180,170,
090,140,334,397,002,905,796,291,681,969,475,723,000,313,083,897,459,921,235,
144,752,153,185,240,890,900,543,569,559,784,900,465,014,948,866,430,314,975,
180,606,746,941,825,676,787,027,071,922,089,486,617,138,388,020,305,016,721,
385,723,180,605,928,691,356,635,924,527,083,179,270,464,380,765,399,051,553,
097,346,615,608,909,569,444,199,203,395,071,791,399,460,873,315,115,828,040,
098,065,937,408,749,755,516,451,611,437,474,150,084,004,303,138,575,184,268,
285,688,640,184,149,209,406,761,708,308,281,006,854,904,708,482,681,102,843,
588,925,741,599,879,479,802,408,255,389,708,800,005,630,138,116,379,432,645,
715,469,687,316,245,942,288,792,743,688,859,970,511,455,422,607,550,955,851,
572,397,085,610,347,767,788,559,687,446,481,532,178,156,104,110,969,170,481,
212,748,090,961,924,847,494,196,874,685,991,624,420,033,804,211,745,488,272,
772,007,954,816,689,700,610,092,731,641,652,182,948,294,118,818,235,009,351,
602,488,226,548,696,565,933,101,040,877,747,867,966,734,292,037,521,001,218,
274,210,285,884,693,557,942,197,710,278,325,440,177,213,833,347,850,121,981,
346,535,804,170,327,500,148,917,925,984,895,601,972,584,813,268,455,725,383,
223,525,942,016,024,071,786,655,428,935,173,759,669,786,095,339,873,320,905,
573,373,529,620,628,176,921,115,737,741,453,724,387,087,442,423,036,087,420,
050,292,283,325,178,332,036,424,758,463,843,965,742,212,822,896,260,719,174,
751,287,793,955,587,179,795,954,554,447,276,246,273,150,196,244,499,619,262,
195,811,581,537,683,685,970,893,992,583,930,043,437,257,926,810,351,084,558,
461,572,602,377,395,998,363,019,233,356,954,827,278,468,088,876,655,647,868,
859,751,973,071,703,824,749,681,203,163,920,004,355,520,481,337,018,154,915,
178,570,548,584,114,899,546,541,946,794,791,115,061,080,610,203,194,646,975,
585,838,609,219,976,816,470,792,959,475,734,588,429,038,063,663,795,291,413,
952,418,387,473,182,198,750,670,972,896,252,648,387,307,856,811,998,205,849,
849,060,333,025,251,843,158,417,534,370,862,784,455,366,400,139,877,377,032,
561,463,140,803,062,779,249,124,050,731,677,152,994,237,314,988,686,034,118,
140,183,362,233,128,500,482,426,628,242,875,387,555,936,802,244,337,499,403,
876,119,773,962,199,033,445,565,314,939,793,616,339,380,201,848,527,929,922,
519,884,988,707,723,532,281,928,569,127,956,663,654,785,071,555,204,890,913,
334,995,453,701,050,554,259,765,841,810,581,704,864,957,782,476,470,244,140,
656,273,780,238,642,095,487,665,458,746,846,048,035,761,685,878,175,343,100,
138,293,331,715,696,996,288,698,243,830,269,030,520,650,924,451,604,096,981,
403,919,775,448,459,133,214,800,329,472,903,516,706,880,494,422,710,253,447,
180,416,636,945,054,220,184,653,406,613,933,420,500,348,733,167,113,383,314,
488,387,350,504,529,721,511,331,292,308,727,113,269,031,986,117,099,982,796,
425,738,352,963,710,976,689,957,221,176,580,180,378,853,702,390,428,528,390,
106,918,724,183,376,134,550,300,748,512,748,894,519,816,572,382,608,004,662,
371,960,896,796,912,314,847,544,621,399,255,178,052,365,652,582,537,263,117,
841,731,669,775,408,398,265,366,911,324,376,665,717,122,489,011,904,681,997,
508,423,360,132,013,050,393,257,815,822,711,611,592,231,293,963,518,087,425,
408,930,752,294,408,665,376,599,108,909,050,879,311,540,884,304,453,604,755,
209,238,294,130,501,879,335,134,095,996,017,536,016,976,832,375,595,719,732,
873,226,643,577,402,150,973,344,690,204,135,216,645,226,616,570,943,366,143,
874,774,520,067,481,051,483,820,958,529,518,383,147,767,143,179,930,673,369,
657,138,938,638,568,391,577,107,293,740,368,242,555,652,343,088,363,831,727,
518,215,878,153,355,034,700,584,798,710,700,489,766,858,783,576,313,902,533,
403,608,338,684,736,600,923,733,460,641,607,229,640,511,223,355,576,068,179,
600,086,672,395,156,882,521,638,455,232,343,176,843,577,716,376,874,763,004,
782,923,074,395,084,207,669,984,203,125,847,121,254,478,970,551,617,293,165,
724,371,782,918,166,338,066,046,121,004,633,183,307,551,496,757,067,442,703,
244,853,972,202,974,930,439,226,665,265,347,287,590,417,152,300,589,263,045,
651,808,138,974,966,697,254,088,913,980,269,080,436,887,783,647,019,931,265,
345,328,792,977,254,580,869,941,834,587,050,375,701,445,790,908,287,909,409,
359,541,674,179,537,911,459,588,341,835,510,461,013,125,908,765,004,166,301,
519,381,984,624,984,009,093,560,594,570,225,346,636,751,578,601,925,214,948,
473,702,631,383,931,183,769,668,146,617,023,339,627,311,157,446,760,097,810,
357,190,498,006,344,186,952,864,595,181,352,205,569,974,225,208,177,879,263,
361,531,529,108,406,333,337,460,847,076,310,066,557,871,240,883,943,602,570,
466,901,351,463,012,901,217,664,653,911,107,684,667,091,088,990,920,616,977,
645,692,045,768,771,443,825,893,125,809,487,400,487,226,105,308,178,616,585,
881,016,981,543,124,323,842,655,840,923,775,072,452,622,548,851,478,364,411,
629,851,943,989,660,162,709,746,897,220,627,116,519,977,188,685,106,292,526,
933,155,290,799,421,660,347,311,800,629,678,664,725,307,690,148,812,578,303,
322,836,760,804,743,622,085,272,424,996,756,075,265,216,724,642,225,099,056,
613,104,076,316,984,154,533,721,842,299,944,726,744,432,494,081,445,644,966,
472,673,980,115,219,952,223,059,884,514,888,327,953,498,695,925,888,884,501,
646,570,905,900,588,960,114,156,230,294,640,327,133,475,434,341,452,661,828,
992,817,027,620,153,468,568,664,440,268,018,724,673,255,320,018,300,655,055,
444,252,107,768,703,704,207,374,111,881,661,045,635,408,954,988,325,189,010,
841,069,376,718,398,877,127,185,781,100,885,168,794,552,973,590,988,972,412,
592,043,242,066,122,693,997,816,489,038,736,257,155,946,346,623,701,895,838,
654,739,002,207,883,700,956,084,772,548,083,903,634,475,461,049,500,293,699,
832,841,425,858,938,272,551,021,198,822,240,761,230,395,959,140,361,167,936,
069,812,410,924,772,846,712,812,589,478,091,086,968,479,154,565,731,410,937,
703,711,930,938,195,962,668,715,721,411,441,910,207,498,809,757,268,037,395,
127,796,831,444,432,367,689,870,895,468,120,452,060,439,469,834,114,724,958,
419,815,912,062,384,700,415,366,814,532,368,802,104,250,238,882,413,849,635,
885,679,835,536,515,334,962,451,665,744,059,257,893,140,098,245,330,183,773,
165,616,139,454,978,886,194,769,294,465,469,652,131,555,711,062,307,480,107,
586,078,305,706,590,515,169,185,769,729,674,134,202,605,815,330,881,084,887,
679,333,911,205,679,734,751,697,586,584,089,364,001,984,692,135,380,717,148,
783,594,298,398,618,510,972,778,774,587,936,005,645,625,552,768,196,750,089,
202,990,948,617,695,048,604,957,655,527,525,065,293,375,883,295,305,954,343,
151,822,716,762,181,912,492,104,130,577,963,459,522,378,237,059,876,023,215,
063,833,301,335,237,432,607,722,311,098,500,604,009,833,840,489,657,088,045,
206,831,728,571,370,455,853,754,298,667,113,071,856,570,209,016,170,361,456,
120,474,109,190,841,639,001,485,454,848,194,404,503,425,257,147,262,555,429,
356,337,221,900,943,134,524,287,351,954,623,083,388,988,094,575,417,125,390,
963,091,134,558,860,999,284,303,566,940,095,488,355,384,753,621,280,242,291,
330,128,240,213,852,463,713,988,429,639,561,080,782,895,925,564,524,957,153,
876,473,282,360,926,352,096,653,802,369,298,021,540,865,699,442,948,931,637,
486,251,528,338,584,900,217,046,277,127,784,175,990,402,976,822,878,295,321,
360,664,812,298,496,809,450,934,686,502,737,203,422,416,078,736,806,565,009,
130,254,721,320,307,771,147,754,013,136,817,155,650,660,211,606,684,648,255,
608,231,018,264,127,494,195,193,615,148,103,960,906,615,261,547,261,453,396,
600,122,651,189,780,456,050,149,603,423,778,395,155,607,718,844,408,357,349,
438,210,854,354,679,893,761,638,329,606,356,777,261,798,935,146,662,780,185,
534,634,916,038,592,968,138,540,315,629,222,462,127,460,245,314,578,956,796,
763,535,059,666,540,469,333,199,310,087,603,528,487,702,830,743,814,018,278,
664,980,609,308,290,973,327,524,256,365,815,008,138,196,029,052,550,100,683,
408,032,210,808,979,593,298,742,100,547,515,631,816,825,945,490,656,346,412,
111,079,433,246,941,741,461,591,346,712,466,528,508,006,617,901,683,357,862,
709,026,974,539,247,229,878,831,931,539,803,916,174,546,739,608,179,076,755,
544,281,751,710,242,525,551,921,629,256,060,074,721,724,529,954,858,254,098,
108,712,225,464,966,147,560,451,049,596,548,295,260,588,777,426,315,750,601,
420,557,405,257,650,061,815,760,942,936,632,381,716,626,757,344,142,998,512,
522,268,586,252,651,585,020,263,114,111,392,426,380,385,095,531,793,080,124,
149,474,818,737,163,567,133,881,172,658,659,350,853,463,775,998,030,300,106,
398,538,084,805,210,949,089,750,251,370,508,380,749,780,333,623,712,179,179,
644,826,742,409,146,982,121,283,432,373,382,257,181,359,968,187,260,576,196,
442,176,353,226,723,910,977,810,189,714,092,025,436,510,912,612,677,341,036,
278,770,167,311,262,844,841,812,018,783,914,035,816,177,922,036,026,571,488,
474,811,037,608,729,503,438,748,631,005,313,275,243,024,798,796,761,641,167,
818,651,171,321,339,482,417,624,810,138,772,987,528,994,551,275,840,424,340,
600,860,074,091,206,276,079,305,926,933,874,887,610,357,288,757,975,305,734,
767,099,619,558,143,428,432,628,829,569,136,441,983,834,614,763,513,036,953,
960,253,839,147,433,562,901,653,450,518,040,187,296,880,850,907,277,329,209,
359,100,955,591,780,919,690,694,259,352,261,183,245,287,419,507,636,158,447,
100,017,392,839,667,075,339,158,262,272,747,082,104,132,341,444,809,005,610,
080,022,670,399,985,670,644,976,475,528,226,290,737,235,524,561,937,616,379,
123,301,445,259,279,495,198,127,961,215,792,065,548,983,700,987,181,096,307,
103,175,039,655,425,103,207,449,472,715,611,032,438,302,779,949,698,791,970,
726,784,379,619,829,642,917,020,489,924,149,430,533,842,604,676,319,069,441,
683,695,785,120,462,083,951,626,807,081,176,774,284,675,540,280,040,503,645,
640,731,266,624,901,906,613,111,045,832,283,746,464,847,599,644,086,153,392,
524,168,219,225,554,098,788,680,810,819,819,710,427,784,775,811,070,526,747,
632,790,311,894,830,963,877,598,130,882,275,569,292,969,183,558,831,611,789,
964,841,545,707,171,719,771,794,269,382,816,286,907,421,869,453,850,541,753,
371,041,567,226,132,412,652,892,811,956,755,492,483,684,814,563,447,682,347,
041,273,333,714,569,104,083,896,604,659,857,907,858,410,383,500,810,774,886,
539,422,347,656,004,977,147,973,258,958,214,405,964,385,994,484,289,333,028,
208,869,830,016,336,659,967,642,037,501,575,359,938,382,341,570,159,409,585,
440,245,163,041,895,853,358,705,425,188,475,190,928,942,612,099,694,183,886,
997,393,544,677,630,273,123,043,447,374,301,356,517,593,305,260,430,902,049,
772,322,655,198,149,153,151,097,852,231,275,269,751,517,464,132,259,100,116,
404,779,470,241,597,564,936,619,174,637,123,284,394,538,501,552,181,926,582,
781,297,097,805,755,637,250,942,331,767,013,629,570,948,472,306,454,282,475,
853,890,122,025,407,933,120,304,885,654,572,172,068,111,058,085,972,986,830,
839,069,599,369,357,033,936,422,627,896,254,834,928,144,375,943,879,521,443,
471,741,584,185,817,667,219,281,203,295,601,768,147,769,701,597,193,026,159,
538,022,472,649,983,562,138,656,599,085,721,021,814,681,410,432,238,461,973,
174,475,434,850,408,862,174,923,745,732,163,235,747,359,044,654,244,280,568,
311,528,143,726,551,286,357,897,789,148,831,426,074,700,187,696,687,897,289,
197,513,337,737,537,046,179,819,200,498,918,659,224,947,609,363,401,636,395,
999,903,616,803,339,072,769,757,111,279,217,299,098,089,926,593,943,451,563,
915,668,502,099,918,854,731,976,280,675,750,955,119,854,851,862,311,516,618,
087,392,411,698,551,228,317,726,552,729,032,307,884,690,436,519,527,310,141,
049,503,176,957,279,142,159,511,616,200,141,804,375,283,867,742,925,287,891,
339,119,621,582,227,711,639,826,673,687,436,375,222,459,255,764,471,034,860,
184,816,827,393,181,747,954,313,273,839,937,679,274,247,208,214,871,022,441,
774,403,853,317,574,422,409,111,287,197,777,648,557,473,060,951,719,579,316,
640,389,796,705,025,056,217,752,116,413,066,263,901,855,068,769,052,540,341,
995,629,375,645,041,433,821,936,768,947,676,782,172,969,197,834,133,942,006,
022,669,536,721,238,911,400,671,873,062,353,088,427,855,445,863,921,673,781,
998,348,474,516,417,490,693,585,470,032,558,206,394,896,160,973,050,543,797,
185,959,428,383,216,131,896,881,200,883,207,947,985,913,497,374,363,475,670,
432,057,825,570,443,678,593,660,715,412,672,681,065,099,432,431,660,092,279,
295,929,020,448,924,903,524,044,145,088,778,384,063,842,446,638,584,522,067,
120,733,926,313,254,532,505,973,286,568,496,224,153,901,294,568,367,780,927,
940,647,847,673,457,451,607,521,092,358,651,944,515,083,690,805,538,412,924,
062,736,747,122,668,069,273,525,222,747,507,567,659,322,374,714,417,153,954,
375,760,711,322,002,469,455,370,173,394,257,795,635,572,917,687,839,984,067,
582,888,612,601,553,152,689,574,512,634,636,157,633,373,438,467,382,373,712,
985,630,925,205,688,490,684,216,154,668,041,879,146,231,863,844,523,214,942,
582,268,049,091,954,033,252,237,957,857,399,805,070,676,474,264,641,046,016,
819,831,822,396,928,176,970,532,477,441,882,071,922,152,449,439,756,553,988,
620,903,938,578,703,194,468,435,954,525,519,960,165,141,310,196,470,589,742,
505,628,918,994,540,888,229,550,790,801,691,201,162,512,308,404,101,450,650,
734,834,331,659,668,864,265,495,547,240,278,759,708,925,356,656,242,288,507,
073,964,015,665,746,013,635,193,064,985,590,627,098,742,995,021,540,216,189,
614,957,209,089,712,033,864,974,390,677,351,334,776,433,468,145,422,680,370,
130,577,598,541,526,616,682,220,051,734,300,762,523,911,537,027,986,555,306,
129,567,492,333,999,282,454,980,801,263,074,111,581,549,080,888,494,768,109,
388,131,985,882,889,827,889,860,891,596,633,778,641,705,569,878,584,403,006,
573,361,924,217,352,263,374,604,600,921,612,025,973,605,098,108,485,240,508,
390,652,109,489,645,225,207,891,394,378,202,615,725,579,290,691,057,330,445,
364,651,127,197,980,178,128,477,148,647,292,670,199,143,588,493,307,292,395,
593,140,250,646,567,454,667,772,799,013,208,277,719,978,551,339,233,121,642,
472,028,322,639,690,224,030,035,595,411,002,915,403,220,050,540,042,627,210,
090,795,977,138,291,243,302,208,401,526,892,313,143,348,324,218,184,716,506,
106,648,637,791,529,528,866,691,211,438,564,042,714,243,443,531,829,123,637,
078,894,225,385,954,315,447,220,866,397,598,522,425,369,110,272,684,799,505,
658,887,791,428,057,143,866,981,402,297,852,342,198,214,447,433,948,461,603,
650,036,994,206,282,311,329,306,149,364,673,655,382,594,522,384,233,340,812,
872,400,877,360,725,447,877,161,068,384,563,302,093,851,958,380,887,814,529,
809,731,873,816,618,776,478,510,649,280,497,719,942,217,639,471,072,681,685,
878,712,788,098,474,574,923,542,699,526,729,547,322,090,454,679,505,353,424,
782,948,173,427,284,137,788,730,433,111,517,302,637,384,231,503,416,589,437,
280,263,074,272,517,355,431,831,876,933,808,688,391,065,502,749,307,111,020,
492,028,844,187,686,290,296,615,876,464,472,289,684,014,746,759,481,142,018,
217,243,912,514,807,505,758,422,758,312,747,507,016,913,372,431,537,525,239,
740,176,395,250,734,471,055,712,067,079,101,836,768,601,858,958,187,820,445,
856,809,582,504,180,992,421,456,872,938,776,157,590,665,469,214,361,784,084,
376,767,905,149,128,306,239,538,229,304,635,615,678,911,594,292,088,344,054,
483,689,236,719,692,983,404,780,510,535,818,147,437,486,442,824,448,646,461,
748,913,874,408,548,116,470,939,863,071,659,309,902,680,723,806,128,318,177,
377,375,613,847,010,281,018,959,648,221,645,246,635,546,675,118,724,183,470,
479,560,404,026,657,752,844,078,442,008,563,252,381,577,992,401,003,578,797,
155,478,409,170,724,648,985,433,580,862,625,647,863,729,715,808,763,882,253,
050,993,752,618,755,454,811,285,958,914,225,169,788,163,094,645,636,873,076,
827,899,171,155,445,407,320,663,780,260,398,501,859,095,287,635,640,841,286,
792,336,987,663,676,857,754,736,729,659,068,993,431,912,668,353,825,541,283,
590,397,871,852,879,784,485,959,967,376,378,587,247,099,489,183,442,407,444,
447,801,131,760,465,004,717,597,402,264,390,805,146,458,133,463,869,041,429,
968,197,237,042,146,341,250,594,119,766,946,572,377,744,490,936,512,977,462,
242,728,712,340,621,371,861,255,710,584,403,963,763,052,075,168,144,537,343,
534,480,212,742,058,045,924,938,401,063,707,819,292,082,126,753,498,906,788,
780,565,877,007,508,479,822,958,435,426,047,089,323,672,261,740,635,116,975,
303,553,428,228,326,578,348,805,258,632,910,690,901,444,504,097,172,463,782,
309,217,879,292,722,551,625,754,094,373,059,159,432,139,958,278,544,417,976,
663,096,895,170,217,468,742,413,579,447,195,187,331,496,195,119,230,278,706,
948,659,112,572,590,632,208,435,658,781,890,825,894,366,042,627,276,278,548,
702,025,323,234,563,188,146,666,666,802,018,567,564,409,453,050,057,985,076,
032,435,674,986,477,919,575,455,787,262,952,986,999,769,276,285,562,604,364,
770,791,002,405,953,777,076,042,586,328,946,096,836,450,898,128,843,882,145,
622,087,865,066,629,772,217,592,290,485,497,300,301,653,590,297,939,952,541,
260,212,053,380,295,551,299,026,733,988,087,128,849,365,700,801,478,465,973,
671,607,267,351,434,878,235,581,658,627,670,536,384,993,111,491,475,936,247,
029,926,344,844,757,362,658,282,794,505,728,009,324,311,549,171,768,321,728,
455,686,673,529,883,371,733,590,946,364,093,108,493,392,457,978,460,236,772,
586,738,218,360,703,701,648,428,021,092,558,000,418,246,120,564,885,556,786,
158,260,005,806,135,513,501,388,575,011,403,574,694,941,999,422,948,410,747,
808,676,707,648,532,257,146,317,963,479,696,782,720,058,012,766,301,355,165,
698,514,479,181,536,015,923,394,673,465,823,860,796,831,751,542,304,562,101,
951,191,843,678,122,637,406,071,988,357,042,354,595,604,129,238,259,005,683,
153,435,101,041,384,012,112,470,829,190,116,781,290,003,025,926,012,674,944,
879,530,841,602,145,257,991,840,634,903,329,345,960,856,260,531,629,864,404,
149,595,006,113,267,956,241,199,211,256,837,591,246,317,317,040,469,302,728,
862,456,879,857,266,258,554,020,923,257,297,405,247,406,913,219,832,627,417,
787,562,793,482,565,080,081,075,899,801,859,315,966,203,277,570,178,104,512,
459,048,042,476,758,908,381,620,076,325,819,542,879,268,563,607,514,796,728,
488,910,324,367,694,529,215,793,585,404,206,839,842,874,605,384,493,376,130,
576,273,585,597,973,039,016,076,813,317,478,656,751,286,986,722,370,085,458,
600,514,107,479,473,469,785,976,702,599,468,398,055,487,056,693,871,942,030,
713,318,367,162,260,606,943,600,643,102,449,103,711,265,753,826,119,718,204,
406,820,493,703,119,979,421,329,338,631,739,063,117,736,168,529,656,071,744,
383,143,919,007,033,276,706,781,417,896,547,038,422,554,295,441,908,587,697,
631,539,959,336,114,592,887,438,326,279,993,822,612,795,187,719,606,087,469,
240,426,039,620,200,156,336,516,769,545,934,693,791,504,430,841,918,710,703,
243,017,007,362,536,375,483,768,089,778,943,665,219,551,752,105,003,144,713,
921,855,889,124,589,972,810,012,079,394,170,893,028,396,703,713,263,295,356,
285,850,744,225,232,982,709,275,058,476,958,537,239,734,319,472,371,952,892,
582,957,013,029,126,231,413,623,922,004,020,839,565,807,499,628,072,016,567,
652,910,729,409,608,507,882,548,212,848,839,671,555,758,304,244,258,500,582,
261,831,506,054,092,498,932,687,431,093,693,398,083,588,133,456,318,154,818,
641,234,691,067,869,473,123,117,597,847,932,843,314,446,480,318,083,034,876,
171,046,946,020,244,476,934,116,905,617,394,964,241,849,608,168,628,345,205,
030,294,234,383,197,554,191,039,938,756,108,805,490,389,361,814,068,017,601,
390,346,284,449,765,487,094,211,258,922,234,880,052,467,742,308,676,588,388,
437,298,595,235,637,427,263,429,160,646,583,941,452,873,436,581,616,152,076,
559,614,406,198,393,815,941,070,181,765,582,794,157,296,323,502,059,184,706,
299,963,131,784,288,190,421,337,116,335,109,778,492,722,586,132,168,660,891,
284,498,654,909,608,108,448,663,091,010,239,774,998,621,220,475,471,751,541,
969,679,458,670,674,879,364,707,226,772,818,522,035,524,662,830,890,800,840,
031,426,793,845,158,214,241,638,334,251,293,768,754,375,202,346,220,250,731,
448,406,501,732,078,653,684,919,606,105,293,393,399,412,835,378,110,550,697,
680,102,200,600,095,398,914,993,770,792,712,788,252,373,157,590,761,842,830,
290,470,638,988,420,383,817,736,868,733,200,261,914,552,585,200,566,516,136,
292,135,366,564,678,851,720,239,747,682,862,962,484,753,275,210,570,365,765,
442,422,537,145,526,718,412,601,565,982,267,030,374,686,902,087,006,795,422,
436,912,771,115,498,610,728,782,800,286,863,967,765,595,861,419,841,210,950,
111,827,641,629,798,671,600,087,691,184,009,595,644,120,601,942,029,302,907,
657,223,607,978,151,627,870,038,731,919,380,463,869,885,063,886,812,135,122,
359,621,194,614,109,895,310,306,997,668,392,979,478,711,234,289,243,167,271,
766,289,445,488,265,214,020,941,615,073,960,757,441,377,863,871,127,475,251,
348,803,222,767,629,498,487,932,082,779,661,470,208,328,139,638,924,946,618,
415,372,918,360,245,451,475,618,443,879,535,218,039,172,528,511,780,904,691,
090,746,176,548,445,772,860,375,206,759,548,730,067,444,278,984,587,228,356,
469,660,704,948,570,937,274,530,599,109,006,501,283,861,247,789,551,179,171,
123,083,006,994,382,634,707,761,903,380,445,954,435,921,893,059,272,559,677,
874,804,789,772,401,506,339,062,778,836,590,531,904,524,711,037,200,678,173,
394,739,534,696,295,862,826,784,298,066,446,902,653,037,018,822,759,583,312,
919,626,360,823,649,984,164,339,673,962,580,679,284,861,663,559,924,617,555,
736,076,004,484,382,605,216,616,609,212,581,379,220,111,474,379,118,275,570,
242,449,174,971,554,000,987,588,320,753,738,857,789,882,417,319,181,338,791,
945,581,845,642,014,630,942,428,178,047,403,635,973,668,079,965,407,989,741,
445,599,299,320,159,744,464,817,394,662,924,210,837,954,577,217,473,823,255,
971,869,141,388,891,583,575,486,322,485,683,211,791,174,236,098,887,873,696,
809,494,087,610,247,627,209,899,743,529,608,923,999,823,618,785,095,390,591,
543,221,465,856,525,570,046,502,024,817,552,527,515,203,420,890,021,866,873,
783,184,705,996,304,780,160,461,400,958,097,883,273,357,210,675,762,251,957,
019,752,187,468,032,781,994,016,980,154,349,808,711,616,445,149,105,784,686,
593,172,076,096,330,638,018,558,576,154,372,910,338,042,466,671,844,557,448,
066,308,962,884,457,151,926,020,648,105,920,767,330,733,377,108,115,461,321,
963,982,490,441,086,540,100,413,336,485,483,800,757,303,422,485,874,306,379,
085,224,591,495,274,162,664,367,021,543,276,984,220,794,719,062,698,704,333,
124,438,940,856,236,931,838,372,224,122,191,317,058,611,062,170,007,755,567,
165,386,788,971,564,013,676,051,436,367,438,808,708,945,845,698,020,057,549,
372,354,193,022,906,713,674,327,345,040,233,795,207,536,161,395,897,831,497,
851,038,702,755,000,077,851,398,418,769,164,978,037,292,932,048,725,397,938,
768,824,703,476,572,540,631,540,410,240,832,423,167,177,954,440,671,776,217,
803,437,727,555,946,365,066,366,935,847,800,540,003,854,225,629,288,464,439,
713,551,940,157,013,910,535,145,830,302,235,869,626,119,745,733,529,429,960,
310,455,603,094,465,572,340,973,509,972,098,616,684,288,470,419,005,292,013,
212,547,812,649,571,949,912,959,011,619,005,367,148,923,274,694,288,964,361,
078,783,640,543,706,282,921,845,851,288,151,051,520,157,335,389,289,102,475,
583,374,444,810,612,997,192,939,758,347,847,710,224,062,133,977,522,196,380,
019,750,161,763,887,940,069,000,522,121,111,916,779,130,647,277,810,333,467,
675,193,031,486,274,503,602,899,664,258,524,223,754,602,904,487,624,987,637,
279,865,060,864,559,755,257,193,452,606,886,414,309,688,824,945,170,866,307,
042,437,907,543,740,483,384,612,008,790,494,917,708,376,704,765,272,974,562,
658,885,653,299,856,345,663,109,534,119,226,823,059,315,930,015,282,089,296,
378,966,845,444,016,989,397,049,640,326,949,275,070,383,835,379,555,486,142,
923,586,701,340,295,829,683,186,230,402,911,948,699,641,907,734,895,414,238,
901,486,628,700,468,042,859,080,052,848,836,757,658,038,257,961,870,632,357,
373,905,335,904,267,603,219,991,543,636,694,686,104,414,947,009,167,223,950,
910,631,910,970,436,083,664,634,575,519,691,555,317,598,418,120,984,760,839,
317,644,087,786,127,693,979,746,629,360,791,139,420,789,881,300,931,684,875,
161,353,954,376,831,101,685,151,263,081,973,311,024,649,317,588,267,298,113,
934,124,389,377,314,639,336,671,234,678,642,711,036,166,642,560,247,645,547,
732,557,269,154,560,617,844,305,661,842,242,212,136,981,572,044,294,673,856,
720,094,100,482,755,738,858,992,733,734,542,459,940,137,877,673,449,706,830,
201,287,927,716,908,184,589,983,394,228,776,107,488,482,411,263,137,782,612,
841,146,734,030,309,531,298,743,839,096,340,461,868,767,309,778,383,069,186,
815,105,624,894,399,876,354,612,921,339,427,095,871,917,484,590,370,446,066,
322,683,254,354,453,689,553,724,200,272,139,938,211,712,295,847,133,229,040,
437,384,373,212,022,168,270,251,469,154,693,960,566,540,875,390,811,036,448,
596,462,298,288,194,481,356,842,992,787,873,005,697,250,000,583,360,701,514,
230,035,609,364,573,225,811,077,612,354,096,671,523,070,031,813,201,615,674,
384,092,732,469,348,677,479,551,656,964,148,064,587,546,694,772,721,723,402,
797,829,103,198,349,620,022,358,028,402,857,271,002,176,509,176,881,165,474,
096,615,827,522,880,391,545,249,126,855,447,133,494,485,332,004,260,398,517,
256,735,338,889,690,634,522,255,426,820,720,076,739,521,623,013,774,002,385,
856,567,297,508,169,164,537,186,724,057,028,117,246,391,798,077,307,187,382,
220,968,277,431,157,535,185,192,793,659,647,059,383,914,807,133,275,950,605,
317,219,203,896,005,547,401,020,290,152,943,998,743,177,605,098,161,006,189,
619,916,150,147,059,061,999,684,565,711,011,734,515,682,582,044,120,889,153,
771,387,885,230,873,085,908,447,978,376,212,610,415,430,616,164,318,498,703,
705,753,241,805,502,993,018,424,090,100,290,080,843,063,714,113,580,089,602,
291,458,629,966,222,702,826,529,132,269,003,815,896,954,495,539,065,528,046,
629,700,998,310,279,426,615,355,801,828,935,151,621,529,685,838,444,806,673,
088,300,369,288,692,455,494,871,101,701,913,010,649,454,621,426,451,006,655,
172,053,423,983,964,708,359,611,639,768,192,846,909,647,992,199,312,539,777,
630,800,392,293,443,865,321,503,161,268,304,158,451,404,893,714,699,035,024,
691,684,266,640,114,040,834,955,069,609,049,064,240,344,754,779,354,017,880,
189,692,033,092,027,160,242,509,527,774,097,666,026,875,228,005,972,211,773,
030,655,911,534,870,766,518,616,281,467,702,350,950,941,647,936,489,374,327,
504,376,524,585,461,348,652,756,692,599,335,715,831,350,836,355,879,519,528,
173,280,205,084,478,946,441,428,848,791,572,169,000,437,190,524,653,849,832,
804,572,432,663,324,121,477,839,988,208,515,390,282,884,308,553,588,451,560,
931,659,517,833,650,800,718,721,111,374,799,509,009,860,664,415,898,106,809,
607,208,692,667,862,089,370,902,016,307,947,338,707,486,829,599,140,332,475,
221,862,101,438,733,735,287,742,003,489,379,523,570,874,567,241,171,877,386,
012,893,106,167,152,030,100,723,274,303,396,972,311,486,772,581,033,321,903,
095,540,889,903,434,208,051,211,811,526,196,501,610,300,580,940,031,067,854,
782,824,474,264,813,449,649,170,915,006,039,259,449,110,799,182,726,356,344,
976,964,819,021,832,174,839,046,149,126,801,155,282,550,706,870,992,571,538,
980,373,449,257,203,387,134,298,650,257,436,446,008,518,097,290,716,437,504,
980,049,310,829,501,503,001,737,271,895,994,912,456,939,414,933,817,785,931,
300,572,063,172,347,837,321,850,430,109,402,477,083,939,542,917,778,107,234,
229,360,755,692,349,923,383,116,198,465,215,589,960,257,316,575,115,595,880,
773,672,322,170,124,971,924,420,221,986,405,441,383,202,922,540,160,770,722,
293,093,155,252,599,914,993,171,908,860,596,825,488,746,487,347,872,059,686,
166,341,352,317,562,110,119,492,026,870,386,614,294,155,791,687,579,774,876,
212,108,307,109,993,070,027,381,615,261,981,540,161,118,975,350,284,140,181,
923,789,151,411,473,675,830,015,645,792,828,164,354,097,306,791,001,575,044,
271,574,898,298,680,537,083,539,013,675,810,676,503,489,471,654,581,197,013,
374,980,833,774,513,706,843,140,205,398,269,972,185,428,162,552,768,941,757,
841,797,022,602,718,126,299,892,223,941,761,347,532,037,990,228,604,835,421,
030,194,713,074,063,403,403,350,550,219,202,976,915,024,763,930,249,744,947,
477,754,563,843,030,256,620,083,119,447,594,153,899,244,499,774,854,143,704,
851,147,318,128,110,161,937,619,126,592,298,678,497,151,398,373,339,415,287,
120,587,875,527,166,683,189,603,520,195,367,446,192,661,445,952,789,995,984,
264,562,561,786,250,671,541,878,009,798,725,956,499,175,152,036,607,601,159,
611,236,983,814,577,682,229,356,346,255,352,847,031,745,193,190,828,162,335,
400,631,503,066,811,578,069,805,312,646,999,173,040,918,968,193,262,296,458,
111,773,144,375,979,354,081,692,632,643,985,824,018,329,268,035,558,621,086,
690,026,743,411,601,161,160,655,386,234,478,221,390,702,924,448,950,609,548,
406,935,090,836,355,323,325,162,468,597,324,197,865,372,700,765,099,379,293,
437,942,282,367,553,590,150,619,937,158,760,716,201,039,639,768,102,497,529,
061,491,870,978,665,452,443,135,339,379,684,482,117,066,022,284,625,294,596,
162,345,620,890,794,293,284,383,025,202,128,728,369,511,597,839,552,685,341,
859,517,528,290,015,867,644,649,339,297,371,568,439,874,466,396,717,598,636,
073,294,632,415,293,500,788,394,019,668,203,115,128,354,462,079,279,592,324,
330,382,365,185,980,028,590,634,204,639,932,338,021,297,945,564,193,365,999,
149,378,323,789,212,599,098,188,619,229,144,331,236,734,262,246,777,414,906,
523,735,481,021,098,340,024,213,619,498,093,297,024,926,423,754,301,362,907,
512,159,018,759,646,108,630,039,383,628,768,536,119,168,025,785,087,577,600,
878,529,767,305,789,956,536,432,200,405,294,983,618,935,662,045,782,404,581,
067,731,980,562,050,979,342,908,159,829,830,064,124,902,595,938,233,534,388,
304,473,652,637,786,219,977,455,863,896,404,957,374,886,461,720,175,420,914,
893,746,593,023,676,483,378,056,426,988,773,700,410,206,298,865,106,770,685,
484,846,949,901,008,466,604,314,500,051,754,144,517,085,185,884,365,228,241,
033,021,765,451,334,611,974,403,166,232,721,770,517,176,708,344,759,300,077,
915,442,581,647,395,674,423,776,211,777,769,828,288,600,519,002,951,404,755,
632,697,141,687,114,707,370,050,126,719,313,491,738,390,333,770,859,874,345,
663,781,477,854,687,813,263,397,738,693,941,129,289,082,723,903,356,276,150,
838,272,089,703,402,855,701,889,992,729,431,462,650,614,587,016,807,280,693,
784,121,387,821,109,195,003,696,044,336,542,233,828,015,209,200,757,391,049,
429,220,313,517,213,467,349,848,083,191,856,835,440,372,857,317,429,053,945,
370,525,456,716,923,440,981,592,757,083,679,048,873,561,583,003,750,404,072,
303,148,966,065,871,483,569,165,337,822,738,542,152,087,504,212,242,910,624,
467,258,397,329,313,628,022,455,551,039,655,466,228,432,426,688,368,336,175,
430,026,154,124,402,920,541,837,038,088,267,290,626,081,813,442,729,133,169,
116,041,683,487,547,280,272,932,507,167,389,110,407,139,337,360,028,269,383,
210,261,639,869,452,536,621,930,436,572,488,552,033,306,178,329,951,204,500,
928,776,578,953,633,126,648,239,395,023,929,448,377,783,173,632,940,480,278,
106,825,679,124,124,467,101,128,227,632,539,134,388,223,322,668,152,640,120,
560,005,926,564,014,352,974,022,943,679,755,723,694,196,225,887,049,500,727,
585,307,818,519,847,610,669,404,722,872,790,412,846,198,546,343,567,202,387,
262,826,534,052,406,254,333,783,836,412,014,435,532,022,292,479,729,349,422,
688,877,788,392,171,256,826,320,349,806,158,453,781,782,967,941,580,449,915,
853,212,041,402,001,540,124,215,831,517,762,751,871,956,392,675,838,719,456,
669,716,497,103,883,206,075,422,678,289,369,501,374,755,360,789,497,045,591,
198,723,591,425,913,697,567,021,425,143,445,772,115,655,835,393,285,157,798,
356,653,750,953,666,065,173,294,942,353,044,309,406,217,195,027,779,770,379,
389,895,751,055,653,031,751,698,664,233,284,494,799,723,465,455,321,408,097,
457,157,918,267,950,270,876,746,820,339,471,676,374,995,987,509,326,443,069,
447,263,846,976,157,220,963,596,057,048,636,161,944,149,423,915,539,993,911,
009,754,580,000,752,731,193,422,179,588,462,071,329,202,163,045,436,373,707,
201,636,987,034,112,575,340,684,811,884,057,036,232,711,624,976,831,455,691,
171,034,494,727,468,140,997,982,455,063,129,732,258,997,026,576,709,609,256,
495,851,323,072,357,298,044,357,383,220,364,152,215,360,256,122,813,289,893,
419,287,619,688,143,017,689,553,776,679,174,856,300,845,499,281,972,734,161,
251,478,787,299,205,636,952,426,096,034,391,443,927,972,750,482,963,249,444,
425,435,374,044,514,390,615,241,159,564,452,887,547,469,655,571,818,583,093,
557,127,859,126,896,532,821,881,798,632,789,586,350,315,510,476,693,008,403,
386,563,291,019,478,888,322,033,950,048,513,945,731,811,760,158,463,544,393,
019,783,317,546,521,466,998,714,547,944,750,740,410,527,280,944,860,305,888,
163,738,767,398,480,955,010,312,766,838,559,640,252,925,886,363,899,324,011,
909,335,512,719,549,781,726,615,569,436,919,459,106,535,384,210,252,139,636,
224,273,842,852,748,670,306,540,752,286,754,563,098,427,773,605,358,977,015,
956,324,576,239,476,802,203,535,843,478,476,537,829,773,737,969,955,106,530,
116,835,229,484,992,384,927,036,806,148,195,058,956,133,627,502,429,731,647,
192,517,694,502,358,889,511,488,971,955,678,464,100,782,274,006,954,538,572,
763,408,130,172,999,012,627,718,713,696,261,789,817,951,386,469,623,121,994,
260,560,981,672,381,301,565,720,795,699,309,648,759,525,339,494,991,018,213,
278,201,195,423,190,625,651,282,031,397,471,159,589,871,133,331,853,708,190,
228,376,056,848,537,636,115,585,972,568,543,242,240,915,144,186,148,071,492,
412,752,905,386,017,859,986,587,778,870,269,479,798,689,995,218,939,841,959,
923,305,591,309,127,724,772,880,198,550,320,145,207,197,433,782,823,070,499,
447,172,254,594,095,241,597,604,744,813,977,947,161,594,672,707,857,879,326,
326,261,693,760,632,826,691,571,315,890,907,513,496,056,243,313,453,133,427,
558,530,476,039,852,027,099,323,469,977,205,841,098,934,045,551,815,029,443,
565,096,781,233,639,374,044,085,153,708,639,135,459,055,589,338,626,725,427,
343,729,288,402,219,319,567,530,483,650,551,652,032,491,290,061,260,149,881,
699,397,196,826,887,002,151,597,694,240,679,407,258,387,031,742,254,496,376,
040,878,589,278,687,203,097,594,071,873,141,123,367,136,185,798,463,875,313,
486,290,762,268,815,261,993,027,080,131,555,289,279,049,355,449,474,179,099,
360,225,014,885,091,059,155,401,146,576,331,389,591,548,874,524,703,109,526,
686,469,866,960,869,799,122,037,267,253,605,137,664,264,413,010,673,511,292,
202,044,001,123,934,622,466,016,929,510,586,263,263,042,881,451,267,553,549,
787,760,442,411,629,631,859,470,400,769,656,373,458,054,109,823,120,985,777,
817,027,516,256,052,670,717,330,431,751,117,233,669,866,383,594,500,249,294,
050,553,589,039,217,993,125,449,096,112,207,345,359,998,186,707,752,390,904,
933,643,128,547,652,356,157,436,976,289,259,546,069,562,913,102,993,512,814,
944,300,531,962,530,057,277,460,454,041,694,360,531,912,639,353,934,691,345,
389,682,089,283,416,307,615,716,005,348,672,264,732,166,956,938,679,016,388,
942,570,762,609,094,458,624,106,109,873,947,960,512,984,957,652,711,762,392,
102,439,441,034,015,372,618,382,911,907,876,406,010,230,946,195,561,421,382,
734,793,090,124,820,648,387,838,140,132,385,198,915,027,678,325,576,332,975,
707,614,856,665,617,490,741,610,089,995,128,150,585,425,755,244,432,517,970,
322,897,336,264,594,857,722,946,834,315,313,752,574,605,954,037,925,536,659,
208,744,063,141,786,199,538,324,006,951,208,657,501,032,749,977,421,991,777,
651,345,894,899,512,686,793,262,885,761,425,471,691,904,862,670,726,917,940,
356,902,510,783,860,908,087,203,685,632,939,813,189,754,503,992,252,972,874,
247,881,753,000,949,581,645,172,857,166,986,274,553,814,850,440,328,918,596,
070,546,148,761,572,943,706,454,882,487,168,158,000,319,125,357,657,137,698,
326,556,407,632,634,035,613,468,020,683,847,741,168,983,474,843,647,322,678,
180,006,297,838,276,554,985,094,935,753,853,092,741,009,837,248,340,340,338,
360,415,647,065,644,434,416,839,172,265,777,079,977,146,659,078,853,243,773,
571,380,530,460,044,499,791,008,347,936,897,087,840,265,516,572,188,430,026,
177,542,189,552,986,477,544,210,577,471,596,635,909,220,984,843,076,646,778,
983,270,188,166,511,365,875,285,690,744,193,891,146,422,687,297,569,672,854,
349,413,234,281,734,485,248,643,056,253,524,805,081,182,418,022,049,202,859,
762,261,947,231,066,725,898,191,382,103,719,293,108,938,629,576,575,987,070,
013,761,579,333,402,827,692,318,914,580,674,787,559,305,917,480,066,541,421,
035,699,527,593,233,775,641,819,036,167,044,328,180,587,611,305,177,924,355,
311,975,900,130,397,084,592,783,464,275,019,407,673,911,567,834,573,525,233,
973,087,726,149,765,536,934,637,185,156,825,274,767,518,957,208,125,384,450,
912,152,396,424,390,807,307,152,223,840,515,006,195,027,964,589,684,605,136,
371,310,788,374,443,967,107,765,810,102,918,814,508,760,981,819,620,325,007,
399,319,890,302,976,841,127,796,124,790,619,385,393,670,542,364,112,596,796,
629,342,422,005,935,949,528,960,748,260,151,487,233,294,512,127,576,319,300,
536,382,160,051,812,399,097,559,600,963,224,753,459,181,186,559,331,541,328,
383,308,967,959,277,648,830,939,703,667,593,260,651,998,592,425,739,177,082,
981,233,556,867,659,031,461,751,683,936,488,582,195,332,819,669,400,107,834,
372,978,779,842,699,708,051,269,952,444,076,727,865,173,674,341,388,852,563,
790,236,704,713,168,687,776,189,249,955,007,307,537,081,528,124,417,502,359,
074,214,051,897,212,323,004,443,955,462,309,749,384,946,857,142,826,955,599,
982,007,671,526,749,862,907,359,256,424,336,426,866,615,765,897,426,575,509,
196,788,138,711,836,566,025,688,249,572,332,355,193,280,186,149,813,336,164,
525,845,385,137,988,394,791,875,992,542,394,298,027,868,767,061,689,902,270,
244,343,396,401,265,214,807,611,012,393,443,000,324,487,554,385,878,519,072,
364,042,219,276,850,262,751,035,891,774,341,215,306,975,067,365,579,204,528,
261,216,163,334,634,712,231,091,953,933,450,459,187,441,075,232,100,617,556,
638,600,654,097,117,581,239,478,627,798,319,943,350,925,780,452,017,530,704,
567,125,191,464,848,818,532,672,126,776,458,152,741,977,527,328,663,915,036,
362,666,176,290,442,765,460,326,041,592,211,020,722,768,585,354,693,169,716,
021,327,544,604,515,369,462,254,400,986,829,862,114,307,204,458,730,046,932,
246,661,965,217,216,784,712,076,061,801,232,746,609,769,288,771,290,819,263,
649,004,378,002,372,002,273,528,970,175,374,706,396,342,597,972,711,025,801,
090,398,373,359,858,351,784,662,177,749,030,707,974,067,404,373,063,755,798,
336,908,505,443,341,893,544,123,601,373,289,726,555,709,269,344,281,545,651,
511,618,195,894,627,025,797,098,341,339,514,692,199,807,427,472,250,842,300,
950,447,734,222,097,748,678,101,799,152,846,366,719,889,698,342,976,321,443,
185,391,629,664,830,819,547,777,565,086,027,788,341,811,933,630,293,476,775,
462,913,693,270,200,841,754,762,356,725,883,252,158,686,038,404,030,039,423,
583,229,315,799,873,313,415,652,968,397,696,252,679,005,375,054,633,711,478,
505,531,254,359,691,956,505,964,757,841,107,613,778,384,650,221,387,261,105,
164,654,043,283,505,950,837,175,067,930,775,079,608,047,653,799,222,251,112,
007,412,293,806,456,030,326,186,059,018,295,961,189,565,469,728,436,833,916,
742,563,010,631,665,392,130,222,323,560,296,810,868,604,705,311,931,399,331,
236,109,257,494,017,575,393,366,241,288,359,148,185,044,119,088,572,343,202,
137,742,699,932,769,050,241,393,754,075,165,449,690,924,383,762,442,607,209,
458,294,611,314,058,918,513,411,116,709,103,699,844,257,238,918,522,495,853,
699,040,446,972,379,200,807,062,642,243,860,989,686,288,516,358,568,594,069,
573,813,028,611,124,816,810,998,909,805,325,368,773,266,202,770,366,934,477,
518,323,373,841,611,982,129,124,047,374,136,584,809,794,586,034,124,027,018,
757,278,538,324,121,800,038,364,809,431,509,861,209,961,506,142,064,775,053,
871,150,284,871,131,069,076,132,106,516,251,372,097,425,078,550,306,691,302,
543,314,033,151,198,666,353,309,221,541,509,183,149,841,375,060,932,525,079,
882,655,347,270,953,037,939,045,106,890,304,813,547,952,651,777,481,799,130,
384,948,008,843,696,743,664,669,520,995,023,784,965,701,390,057,889,172,438,
066,480,606,307,638,906,688,515,572,468,661,221,235,189,180,015,707,479,165,
151,994,554,550,590,384,112,129,387,644,495,505,712,485,077,961,407,328,009,
371,236,439,055,055,619,967,207,160,747,928,113,086,691,969,894,448,196,418,
501,103,758,428,327,969,795,701,844,032,301,298,645,938,485,274,704,464,107,
009,795,460,653,120,875,791,091,988,986,007,464,291,774,917,901,071,572,987,
336,132,289,356,485,847,956,889,138,875,258,898,180,843,171,729,243,594,358,
259,922,962,725,066,334,863,809,162,718,380,917,176,300,596,096,832,573,228,
087,768,188,438,902,001,489,772,075,235,051,013,091,096,554,106,385,498,689,
560,062,674,233,948,761,938,361,102,264,179,591,198,719,326,320,613,247,973,
252,106,171,265,375,297,074,071,519,054,095,949,935,251,849,262,949,857,499,
079,020,075,569,199,531,398,190,780,176,283,988,842,052,696,900,331,663,512,
191,492,775,105,416,847,062,739,013,144,112,155,048,980,020,208,087,932,940,
672,278,101,855,684,154,549,250,909,824,778,468,402,351,639,454,622,038,881,
588,478,019,393,997,691,187,813,013,561,915,893,746,434,016,836,806,364,896,
804,368,017,409,439,093,366,805,210,624,778,614,331,917,265,564,064,014,702,
831,445,532,213,624,091,394,129,004,713,514,873,300,796,842,926,093,460,208,
537,865,014,023,658,789,358,633,195,848,336,919,837,494,137,800,911,372,090,
630,752,817,774,402,049,545,492,092,030,272,870,097,642,781,089,435,769,368,
503,835,948,511,272,953,251,353,489,366,296,603,619,852,942,810,629,905,550,
440,397,973,804,658,052,841,527,770,691,830,864,500,501,023,208,649,694,561,
680,945,640,489,703,476,536,073,007,655,898,265,733,448,103,637,054,034,700,
794,678,260,761,400,053,665,674,602,544,620,285,362,132,616,210,685,109,952,
007,510,901,832,406,793,390,726,091,922,778,859,930,421,528,213,420,389,020,
025,833,279,291,401,415,271,146,456,701,090,596,169,265,429,622,212,593,703,
335,632,977,740,764,603,824,180,027,695,299,202,055,490,467,732,142,646,231,
905,274,518,042,697,517,948,962,063,878,192,907,007,376,564,392,709,416,469,
891,432,065,726,749,572,607,426,829,335,830,247,657,384,907,446,444,893,772,
497,737,924,873,851,405,249,642,515,635,596,391,075,845,945,821,060,599,123,
365,438,261,155,197,007,982,410,500,187,072,888,051,357,612,474,388,625,307,
967,627,860,389,096,001,476,898,591,792,062,573,396,321,430,106,061,634,573,
259,341,950,793,361,961,824,829,495,819,894,227,819,135,168,148,167,096,032,
182,259,640,462,145,405,913,761,750,263,902,694,989,164,946,056,435,859,540,
013,085,588,903,054,466,511,470,980,880,424,351,564,053,675,689,058,212,142,
563,049,685,116,116,027,161,027,122,784,803,447,560,355,420,451,070,317,270,
217,138,784,095,568,311,561,320,416,843,600,853,422,608,136,696,051,539,910,
090,887,689,724,156,099,618,839,247,041,568,737,609,225,682,569,281,688,695,
773,908,323,573,402,751,246,130,700,078,485,510,717,264,899,295,788,461,877,
424,294,006,722,974,222,139,936,280,549,401,373,402,609,063,950,115,081,887,
309,041,096,249,089,662,285,686,952,573,200,956,387,673,088,586,992,666,005,
783,232,574,848,622,701,901,510,365,200,923,375,469,066,159,250,318,067,290,
925,869,952,944,798,694,713,571,149,408,896,175,816,353,874,538,812,898,797,
369,933,551,375,661,067,214,964,023,508,285,977,748,252,852,821,138,405,646,
604,770,877,208,681,734,384,127,656,510,999,515,683,320,541,162,688,069,987,
995,342,213,869,232,835,366,819,502,680,159,060,112,321,237,916,372,816,154,
910,520,477,536,031,605,076,620,357,812,359,893,604,074,814,485,994,070,970,
467,669,761,839,573,674,981,304,865,238,590,600,268,981,168,755,128,345,286,
200,231,377,480,203,744,644,480,557,393,688,778,704,284,668,447,199,537,449,
071,127,632,650,634,113,107,862,109,867,844,291,392,504,998,911,874,764,896,
506,213,120,049,107,710,713,898,184,387,830,272,288,301,635,845,006,159,839,
545,304,708,441,021,292,412,686,762,399,947,669,679,242,920,484,118,289,112,
580,323,800,249,432,302,362,285,067,389,855,390,317,156,477,461,193,907,951,
341,104,449,181,448,814,558,730,096,828,558,789,848,730,037,336,279,788,994,
379,955,293,926,934,685,951,437,999,659,647,315,678,049,345,871,031,854,962,
481,441,267,348,042,118,183,916,999,626,539,090,252,820,020,820,028,570,183,
945,277,435,667,504,525,257,400,109,114,417,711,795,381,381,224,153,499,296,
831,766,170,686,940,353,830,196,323,853,969,314,236,603,664,570,754,754,832,
878,029,460,680,375,691,146,741,877,987,007,622,602,781,874,391,400,198,182,
502,684,857,005,946,746,333,515,781,504,047,014,735,584,670,022,946,079,542,
171,753,077,428,483,343,774,156,456,803,942,065,927,993,059,304,033,614,246,
931,642,804,775,725,714,588,179,211,018,649,426,213,017,844,830,138,974,847,
497,205,095,741,672,524,296,486,113,067,809,024,227,964,161,994,504,745,870,
654,590,664,282,841,511,444,147,369,557,034,197,135,199,429,095,811,667,110,
340,930,631,222,567,396,725,054,073,186,793,400,020,057,805,694,088,900,679,
089,652,308,974,083,485,230,810,118,572,216,649,854,188,284,376,187,613,441,
137,161,098,530,306,442,781,077,404,091,784,925,371,292,452,829,346,104,541,
932,619,503,404,976,004,080,535,722,097,031,293,581,620,559,907,168,295,821,
206,533,936,918,451,067,083,845,869,638,703,418,849,400,162,436,721,242,980,
272,010,873,536,140,257,913,957,222,606,314,282,362,861,378,415,327,581,563,
103,156,751,998,768,267,720,989,718,936,165,694,789,258,339,594,514,347,395,
935,834,740,558,005,525,606,171,695,708,044,677,510,202,022,915,192,494,107,
759,545,242,391,998,012,614,998,545,317,898,199,313,787,075,748,142,368,769,
860,367,533,418,482,227,384,178,194,002,553,243,578,765,130,283,022,589,734,
296,543,554,897,551,417,490,688,068,416,538,465,463,453,892,358,293,152,893,
004,747,800,663,614,722,087,148,973,403,232,981,237,995,283,903,575,444,588,
224,400,392,778,757,621,286,072,938,729,852,096,147,114,943,493,022,735,141,
856,228,362,437,932,708,014,947,464,926,143,437,139,397,235,924,214,566,521,
752,751,962,103,030,473,040,734,584,884,081,263,310,859,250,891,372,125,143,
396,579,299,812,182,366,120,944,047,818,027,063,906,186,001,941,489,053,993,
524,194,647,280,839,566,695,133,276,689,579,892,982,515,305,124,065,784,681,
455,514,229,005,841,984,413,862,342,981,528,010,611,817,823,867,325,210,101,
736,956,858,006,035,647,785,683,651,489,873,158,537,049,288,347,951,121,741,
885,313,903,321,573,605,398,407,262,556,789,763,349,903,202,669,955,684,272,
792,158,152,934,721,229,754,677,797,634,189,914,613,248,865,937,975,873,051,
361,923,687,533,242,034,405,350,738,266,433,952,342,724,091,096,103,366,801,
022,773,400,867,687,683,898,043,384,417,497,603,016,071,948,228,020,040,843,
728,424,639,602,102,149,156,125,342,293,579,063,848,279,419,283,371,424,002,
707,136,880,810,107,076,416,424,260,231,289,332,084,405,722,911,066,072,005,
714,301,283,078,852,983,782,862,876,777,624,722,719,750,193,453,441,035,265,
465,441,616,664,999,879,611,906,783,272,890,672,277,812,680,896,974,883,073,
261,074,488,913,789,354,203,071,394,914,229,934,368,430,583,039,538,397,690,
812,572,496,370,137,246,770,063,700,520,941,054,909,347,795,198,132,905,613,
649,226,426,023,891,342,932,638,125,424,198,925,738,605,837,389,718,142,769,
774,342,805,418,940,116,304,547,503,716,773,292,652,850,441,506,544,619,112,
877,204,878,176,200,862,948,549,297,965,220,306,700,845,598,783,861,997,845,
396,070,302,431,237,863,865,342,477,082,099,063,992,695,895,871,216,536,822,
423,070,974,953,163,071,450,841,958,439,547,793,378,661,884,264,447,591,028,
691,845,437,517,951,880,597,194,531,452,584,931,257,411,204,635,416,972,296,
389,851,280,164,544,259,827,180,296,806,046,406,935,359,923,519,983,284,219,
468,390,080,425,558,461,046,613,706,535,458,212,523,173,897,242,538,220,419,
233,090,882,992,552,760,607,851,276,863,478,594,656,439,183,137,188,705,504,
690,942,529,251,646,075,821,253,095,314,892,680,828,787,272,226,089,438,645,
840,474,007,134,504,762,079,831,842,825,947,749,323,301,405,123,715,627,465,
734,740,955,624,229,844,274,512,118,120,583,631,355,288,009,028,616,846,007,
608,686,875,574,779,452,991,381,093,095,588,177,531,834,737,677,336,893,705,
911,487,248,370,373,069,463,655,316,515,031,346,192,372,300,084,099,656,638,
673,035,118,390,861,037,490,076,709,189,737,064,723,116,738,935,320,729,324,
551,246,431,538,072,855,348,039,113,518,950,906,111,241,921,337,425,648,043,
037,281,712,812,092,709,712,182,947,216,991,547,226,451,585,126,305,082,000,
066,935,568,552,501,649,248,879,749,042,028,137,098,869,700,601,531,070,765,
423,057,650,620,658,257,603,159,911,911,615,138,796,673,003,286,122,847,353,
534,202,005,411,730,898,582,515,508,211,968,729,693,322,111,147,164,982,384,
618,232,716,173,404,811,978,556,928,087,865,089,158,038,869,070,849,900,625,
399,102,497,819,469,516,824,620,144,859,003,236,240,075,926,930,500,803,519,
129,950,296,755,944,709,131,524,994,562,363,573,218,261,260,135,270,449,764,
696,318,024,413,077,155,381,722,431,826,745,987,921,713,227,843,610,428,324,
118,738,300,740,665,308,257,931,249,543,641,313,911,747,111,773,095,929,102,
696,174,720,598,507,134,574,204,118,905,677,710,084,672,894,459,191,131,885,
225,647,118,755,265,811,215,374,940,574,967,769,255,878,055,057,287,084,513,
248,668,520,656,870,027,908,193,548,758,363,179,332,810,596,471,314,927,954,
260,927,823,500,221,246,702,365,304,705,382,735,022,252,648,165,384,060,761,
774,462,652,985,405,650,436,952,378,966,438,137,052,767,705,311,746,278,911,
278,564,073,913,298,357,902,189,949,176,946,480,185,144,870,159,706,186,175,
458,421,373,668,058,581,087,023,613,143,491,428,646,978,782,944,742,803,855,
574,068,770,345,687,467,036,358,478,990,785,511,653,845,910,307,069,083,304,
731,225,708,043,218,902,215,533,343,061,136,411,524,337,423,701,289,759,272,
628,032,604,055,855,088,548,052,317,842,043,528,381,622,546,761,706,868,492,
566,813,506,381,110,718,917,300,159,881,633,674,110,546,377,712,164,606,980,
896,983,515,113,695,337,834,383,022,767,363,719,887,720,154,827,836,261,977,
412,002,068,181,108,176,343,489,638,871,372,182,831,353,269,628,944,001,190,
081,034,807,033,551,217,621,833,190,042,594,925,903,463,187,015,650,544,469,
770,176,245,650,948,596,133,738,398,599,807,151,838,918,163,153,175,689,970,
473,454,961,878,028,024,811,958,599,215,263,069,967,000,531,245,066,286,251,
098,834,489,250,897,061,620,419,925,994,427,177,210,384,401,572,694,088,190,
277,003,180,755,272,876,228,523,273,003,966,743,172,442,509,382,516,179,387,
383,483,696,857,787,109,404,830,081,073,447,782,007,704,535,019,127,298,948,
044,430,446,603,927,198,927,753,881,117,530,412,996,998,212,905,017,698,557,
383,776,631,512,542,164,492,468,938,743,919,105,292,217,461,284,989,346,107,
099,293,353,599,588,930,643,920,793,686,266,402,557,272,555,491,917,193,734,
393,195,213,812,341,999,481,384,792,253,664,509,502,994,737,984,018,828,309,
757,128,766,547,473,704,327,040,060,908,894,591,797,521,724,715,400,218,721,
252,565,130,126,856,748,027,242,339,309,678,856,143,563,133,888,229,233,302,
912,595,977,661,494,115,903,167,033,009,890,580,725,982,611,929,546,164,391,
564,119,220,167,990,434,479,016,211,063,586,090,411,855,644,255,741,816,171,
108,194,738,708,351,538,679,272,964,283,583,061,338,961,712,048,315,577,968,
619,386,201,938,725,667,696,992,484,857,257,136,396,086,977,013,592,957,184,
117,962,277,175,042,463,452,698,330,444,897,037,936,557,450,134,038,318,545,
364,625,614,275,723,414,196,368,183,139,299,615,215,631,059,925,441,371,239,
315,569,051,293,745,400,613,382,505,184,142,123,657,373,459,257,199,517,189,
100,944,380,997,865,484,152,543,832,611,486,010,973,703,427,158,960,464,736,
544,098,292,646,460,570,008,449,215,515,013,302,906,005,257,715,051,249,291,
724,556,326,399,567,881,850,537,782,476,464,491,246,792,683,453,801,468,127,
016,022,810,208,895,982,903,913,998,375,200,910,778,198,071,417,305,704,947,
809,358,240,261,948,274,692,647,989,132,357,999,240,263,200,694,803,902,055,
465,132,283,736,268,425,724,206,680,023,694,874,758,684,195,462,113,478,386,
255,351,590,134,003,656,871,639,292,332,668,236,375,038,648,679,046,161,102,
815,820,758,906,656,955,163,037,877,801,742,809,956,580,907,754,872,195,322,
204,266,218,481,140,809,664,551,329,460,064,404,164,958,298,235,684,850,092,
217,401,835,575,573,346,128,285,262,558,428,929,478,787,126,639,633,299,185,
181,338,670,201,264,888,584,831,965,862,988,650,053,113,925,492,493,226,119,
255,531,617,352,744,907,278,997,481,046,739,970,711,213,483,281,942,274,180,
051,835,015,472,830,928,911,416,471,674,292,319,531,807,744,549,568,992,693,
419,536,644,049,653,144,582,137,272,435,447,977,780,130,833,832,063,998,623,
278,942,379,253,678,011,968,081,798,931,459,936,839,557,167,519,595,141,035,
444,856,556,200,510,233,773,029,766,736,872,150,139,837,679,267,883,246,416,
408,610,237,511,952,123,024,074,186,939,181,573,369,741,554,927,855,020,030,
117,255,560,410,788,989,376,673,600,568,528,965,856,030,048,435,003,944,971,
080,169,626,510,176,885,645,475,852,593,694,799,962,019,575,392,988,125,037,
324,149,217,783,545,659,849,432,955,845,101,062,965,095,933,389,303,408,570,
525,174,300,766,623,532,291,355,547,072,503,287,545,910,950,126,536,673,041,
405,901,692,029,176,267,989,844,975,694,168,314,663,529,286,023,352,988,215,
434,191,272,407,285,137,692,005,075,497,033,173,330,084,989,063,052,559,998,
940,072,206,144,019,603,463,878,362,261,366,439,395,448,150,130,816,632,752,
994,982,601,014,073,724,027,518,869,628,253,491,381,260,816,687,420,817,469,
592,045,730,109,286,712,507,390,901,982,659,534,323,063,912,514,453,420,633,
384,379,359,294,745,328,900,809,770,670,916,018,975,306,882,416,712,564,112,
994,839,146,629,251,949,939,820,275,746,338,528,648,591,378,961,427,371,416,
715,875,586,913,532,797,491,675,021,893,488,041,966,180,175,500,895,491,578,
465,840,477,569,840,034,447,370,195,156,165,085,677,271,194,605,572,100,873,
189,989,143,095,827,724,417,035,536,168,375,674,767,414,409,352,961,838,282,
662,634,224,588,694,373,799,921,893,400,084,096,744,206,130,951,003,914,378,
017,121,907,163,587,099,755,191,984,440,111,493,792,591,765,481,908,669,428,
877,638,622,287,711,559,497,416,199,841,305,159,595,245,141,414,325,225,887,
068,208,806,636,205,348,046,285,843,771,060,734,071,747,786,307,423,493,680,
185,670,161,151,307,039,651,982,438,059,085,107,807,885,653,731,929,144,052,
735,833,649,533,489,122,401,511,828,314,057,667,636,713,224,852,590,912,752,
571,987,028,990,904,970,512,857,182,038,668,171,893,741,144,617,031,606,902,
177,484,363,301,089,637,214,532,690,957,617,717,746,847,236,324,152,745,021,
967,267,644,542,444,457,311,997,080,693,273,835,291,020,611,310,804,185,310,
804,463,839,790,003,835,587,189,028,485,100,907,974,431,329,482,799,834,475,
331,461,312,090,225,032,519,284,606,278,814,682,890,688,627,657,296,684,798,
152,493,008,099,134,205,470,461,811,373,390,955,042,222,093,444,467,575,901,
077,497,106,578,023,639,555,970,609,339,719,743,481,578,919,045,859,742,222,
566,385,636,306,710,153,002,771,351,579,075,554,730,277,021,337,245,840,620,
089,575,197,559,377,095,381,999,642,348,103,442,403,694,156,780,600,868,926,
552,698,595,213,299,321,750,094,502,008,640,488,770,798,009,992,315,529,862,
310,911,977,873,223,281,519,814,359,762,251,911,443,309,250,918,320,158,751,
022,848,694,657,575,477,153,479,957,367,339,916,493,968,927,913,959,781,738,
687,470,402,284,027,781,457,498,047,346,516,066,922,496,285,905,878,986,220,
510,460,710,876,347,837,344,355,255,653,815,271,416,860,795,279,924,567,692,
905,611,672,434,321,463,464,653,235,437,141,336,596,498,598,023,578,073,822,
156,871,576,025,728,854,616,895,230,500,017,792,079,550,571,611,803,167,952,
444,552,655,405,276,365,845,166,112,943,846,235,623,888,871,958,709,474,899,
313,622,850,948,716,387,208,091,129,853,418,968,275,713,702,208,719,690,846,
799,378,454,839,919,602,058,737,155,751,971,309,803,752,513,440,456,974,964,
878,680,177,223,058,809,101,948,827,202,553,735,939,910,945,790,920,936,246,
089,316,096,396,483,366,567,002,495,308,255,967,719,732,450,708,707,923,859,
486,045,588,530,070,265,486,845,686,615,269,306,776,263,491,700,719,953,538,
302,383,871,446,052,752,535,761,974,730,518,043,459,414,876,845,394,919,349,
745,562,503,830,302,417,681,318,092,629,478,475,058,044,079,565,875,944,942,
712,154,055,699,579,111,500,420,287,705,815,284,499,732,574,239,301,610,990,
263,961,879,586,040,155,399,649,940,301,771,867,044,861,778,219,693,096,397,
246,958,055,253,369,279,319,674,402,084,315,715,849,992,806,978,015,768,906,
061,125,093,926,435,455,292,559,163,483,767,179,446,574,307,323,768,408,050,
957,882,954,616,508,221,266,875,431,072,003,112,626,413,358,171,443,239,538,
643,656,558,366,709,645,742,056,778,138,412,800,943,019,538,495,635,938,862,
426,879,049,973,670,958,342,899,888,050,989,914,628,261,267,717,298,958,174,
246,353,367,283,832,117,483,768,297,062,076,220,817,496,983,602,223,899,466,
307,481,442,696,799,598,032,483,672,129,879,544,741,864,025,465,393,037,148,
981,393,780,794,716,158,690,153,310,639,274,102,035,441,706,364,529,357,012,
077,187,665,491,391,684,546,716,258,477,688,790,790,192,296,270,617,916,188,
915,593,121,681,924,778,305,092,414,602,433,442,953,196,650,294,718,690,513,
361,276,108,979,614,371,353,929,265,194,012,281,043,055,678,250,765,486,009,
056,702,238,654,367,263,963,704,309,307,321,594,934,433,321,708,872,972,341,
895,896,932,764,776,183,484,795,021,719,059,595,921,427,435,724,637,265,984,
319,253,818,932,957,436,404,836,127,052,770,003,126,295,241,597,846,993,498,
785,466,663,373,418,999,129,477,019,814,161,547,754,873,701,199,030,091,538,
383,173,391,381,816,364,954,505,935,628,044,567,100,210,662,986,744,024,198,
970,018,874,662,843,726,495,172,913,750,437,005,422,775,507,622,171,596,767,
425,559,833,144,942,695,658,985,480,435,195,038,482,235,574,423,891,267,503,
627,119,880,709,918,264,117,789,856,034,728,755,051,716,038,827,531,565,142,
411,960,236,460,878,563,304,658,213,354,318,844,900,887,463,149,968,735,219,
464,013,272,427,093,996,209,345,390,820,919,529,206,305,672,189,186,912,415,
146,781,017,221,460,905,177,588,380,255,928,963,802,522,826,650,946,758,709,
683,937,822,848,715,993,037,791,695,864,205,481,040,445,830,503,940,162,642,
889,265,333,061,119,553,732,880,620,790,461,817,504,822,937,870,559,130,856,
320,221,840,204,536,504,401,064,698,639,682,832,861,011,089,297,221,704,239,
042,131,832,889,478,667,434,500,655,832,749,077,142,811,136,560,324,261,806,
271,819,327,197,122,502,461,615,555,883,300,857,307,944,923,567,267,919,448,
724,049,637,011,625,133,802,197,136,005,623,605,917,679,041,272,099,598,298,
588,239,277,669,399,258,331,888,225,426,270,416,404,243,303,553,115,990,276,
106,405,582,952,655,848,623,912,825,792,499,671,965,863,639,853,019,318,680,
817,192,541,000,122,857,450,865,610,455,627,066,743,517,813,289,243,831,275,
945,774,704,656,755,614,569,571,120,450,090,526,550,565,163,055,881,822,413,
085,735,344,573,697,241,822,241,285,236,515,464,228,031,486,948,232,993,692,
539,029,794,460,450,723,805,444,227,430,007,652,197,608,352,102,976,456,392,
161,224,574,163,487,496,968,401,099,899,253,115,646,828,627,600,822,199,012,
737,425,237,937,258,201,957,743,446,730,972,069,775,601,541,293,164,981,031,
863,434,967,514,498,400,436,609,384,685,471,083,753,375,329,128,580,037,949,
368,388,030,207,562,702,998,970,624,979,187,779,909,283,042,337,301,216,096,
104,654,331,850,492,508,797,821,401,664,544,001,668,062,759,376,237,457,904,
723,897,443,863,278,484,873,964,249,457,038,232,533,642,646,279,833,377,247,
305,882,099,903,155,673,589,934,283,460,789,792,291,204,297,018,889,620,811,
189,129,838,807,793,547,431,623,452,151,583,880,058,960,074,937,493,219,735,
556,732,436,443,676,707,682,966,512,016,948,303,799,968,478,329,191,404,218,
712,386,027,663,415,660,414,142,654,943,922,977,992,190,540,577,828,804,109,
242,307,779,442,813,985,097,850,795,861,036,879,896,788,866,295,407,215,518,
372,037,741,476,202,902,015,808,154,456,016,797,315,648,873,220,572,526,968,
978,990,042,413,181,019,778,984,270,751,384,511,190,087,796,717,392,423,505,
515,312,094,964,200,342,832,875,093,225,472,698,783,032,602,792,946,430,805,
823,307,865,964,759,542,386,162,846,507,044,746,823,120,132,997,351,723,333,
015,745,572,358,983,080,918,174,833,535,073,161,323,445,261,400,438,720,155,
796,370,089,449,433,078,114,291,490,957,266,719,279,721,380,978,275,807,999,
266,919,529,663,611,676,075,750,586,648,136,882,785,190,644,279,147,608,160,
579,912,705,900,390,532,540,225,839,045,018,111,784,667,925,107,044,039,735,
146,698,371,705,996,929,751,318,438,603,599,763,948,718,410,426,124,391,763,
916,764,054,500,483,002,836,120,759,872,585,541,797,948,150,228,710,565,156,
158,794,931,980,674,913,642,545,828,752,674,949,107,521,825,255,808,537,682,
771,119,654,821,425,273,696,194,885,364,907,029,621,292,316,952,180,890,379,
338,898,294,784,911,707,019,821,373,917,858,279,839,946,375,025,077,665,762,
029,396,489,040,285,071,027,133,789,155,265,322,766,166,677,060,318,271,828,
424,999,770,888,955,498,612,993,398,968,695,941,623,634,633,862,592,902,275,
839,047,076,776,464,973,702,844,257,631,500,179,961,652,719,522,072,518,892,
902,679,537,766,639,189,670,386,623,132,642,530,699,882,645,639,762,638,180,
822,632,679,433,384,379,214,213,596,986,190,928,980,972,035,337,881,469,627,
456,673,541,748,463,273,601,601,258,504,127,669,255,547,413,660,134,620,651,
258,043,817,254,973,215,440,778,456,740,036,916,567,689,853,790,765,510,324,
583,776,136,481,637,384,756,792,047,818,759,895,478,918,252,970,929,635,660,
789,369,129,442,479,403,360,883,877,960,444,046,843,380,639,381,047,607,922,
076,985,722,544,182,644,802,869,459,052,013,577,043,040,015,292,869,019,185,
414,229,269,377,464,266,151,067,195,522,123,425,865,987,013,259,882,997,200,
302,044,944,201,902,432,190,315,609,772,107,194,076,537,576,472,064,703,126,
572,263,857,837,893,851,673,288,790,452,163,426,061,835,022,025,189,351,019,
385,310,522,037,132,210,128,878,519,879,230,141,308,850,045,963,926,990,528,
543,378,972,922,671,983,180,642,284,950,848,367,672,031,944,933,555,426,327,
521,004,944,034,779,479,475,849,356,297,889,662,311,078,793,557,397,929,584,
008,320,530,231,908,027,035,865,535,415,642,973,084,937,213,106,098,204,697,
487,121,205,416,026,896,764,471,386,970,150,564,164,074,675,807,017,604,269,
103,721,200,813,307,522,951,082,979,788,637,182,687,348,657,261,578,429,364,
588,869,922,758,213,626,427,099,920,578,559,089,806,941,083,206,834,339,556,
939,888,152,998,573,319,334,007,893,217,048,431,287,345,484,707,648,263,999,
020,790,891,040,224,605,395,218,305,008,931,251,706,447,908,103,069,705,717,
625,970,961,148,024,744,851,195,749,350,685,528,292,976,792,709,548,515,448,
918,780,736,482,226,246,125,837,014,961,249,020,858,129,934,236,050,062,912,
567,151,146,258,313,396,582,962,796,445,395,186,799,837,534,377,874,380,617,
278,818,457,931,163,508,851,710,955,844,074,957,004,841,211,087,611,387,288,
718,379,122,675,580,046,900,127,974,981,811,189,730,966,668,179,021,525,455,
095,263,131,318,487,949,648,196,319,499,506,289,963,598,149,672,112,136,615,
812,842,160,139,671,591,558,294,853,766,247,348,422,176,451,129,146,648,763,
142,798,288,623,516,785,847,285,237,338,252,228,782,727,472,278,721,015,520,
505,699,320,457,875,784,357,642,837,281,059,024,113,454,572,648,512,587,448,
060,741,681,774,948,706,474,242,441,370,501,199,538,889,119,965,247,268,779,
148,741,335,858,839,068,910,587,707,877,333,816,672,041,316,440,217,854,716,
762,933,712,718,564,530,540,704,772,476,857,506,984,972,182,532,823,106,381,
408,098,303,817,599,015,608,043,939,357,400,650,550,070,080,352,366,572,545,
007,669,923,671,264,379,376,109,541,921,977,105,601,279,661,955,574,872,742,
770,680,144,555,335,568,349,323,326,654,929,904,905,288,189,574,635,611,342,
135,656,835,914,920,877,747,483,120,235,781,881,974,063,170,435,980,215,612,
042,458,419,754,331,130,403,832,399,194,667,988,360,150,519,480,728,526,831,
293,339,182,019,960,978,125,756,785,654,441,980,045,377,245,941,396,135,096,
123,835,205,377,462,041,269,695,821,090,280,339,017,905,303,077,952,841,419,
408,110,456,916,166,864,104,413,344,943,433,505,852,560,657,600,650,605,990,
071,204,704,300,565,523,446,236,654,895,023,403,744,644,433,337,278,934,130,
584,535,305,394,119,747,566,106,653,217,741,940,490,738,527,994,372,595,179,
756,701,565,849,587,802,110,346,992,694,184,778,031,071,078,658,373,519,020,
960,800,778,517,725,253,162,153,839,613,163,781,420,442,818,813,809,242,861,
560,526,836,179,994,435,470,827,504,867,400,768,774,349,499,604,975,339,789,
100,797,756,545,439,563,874,388,258,319,111,139,994,721,644,070,982,173,229,
015,405,756,234,558,836,009,298,315,122,043,792,912,144,209,930,106,700,404,
511,948,833,510,682,128,041,736,000,988,005,905,598,125,937,101,102,328,718,
610,409,826,560,163,657,689,379,678,337,240,786,608,586,531,742,919,812,572,
734,402,316,115,977,806,571,682,826,075,456,487,040,305,571,038,491,567,500,
063,847,178,718,076,365,489,918,085,198,992,425,074,254,701,799,484,660,251,
718,421,996,063,048,005,946,484,458,626,365,916,777,055,094,957,194,215,759,
921,664,237,727,971,477,293,587,812,715,521,929,024,861,697,252,780,870,661,
404,742,206,799,173,211,536,406,680,855,969,884,800,492,567,877,749,835,943,
168,912,060,694,414,914,591,385,232,801,198,689,404,548,279,505,399,452,167,
153,452,514,431,495,258,049,602,114,157,524,418,338,023,328,528,381,489,938,
087,151,747,978,529,519,835,790,476,756,358,536,321,027,323,494,418,439,433,
210,380,428,385,005,930,717,883,087,810,954,345,294,498,468,749,868,149,756,
583,698,676,697,034,511,758,911,991,124,728,310,312,870,916,051,476,475,070,
329,492,293,191,904,887,973,642,451,195,400,234,796,417,242,986,396,466,510,
869,312,380,641,944,290,161,063,297,904,573,099,184,729,730,887,541,460,439,
118,268,583,684,520,115,110,878,210,185,381,543,093,763,056,214,915,616,729,
454,182,798,127,047,255,269,961,786,982,147,807,577,869,624,180,212,210,839,
205,226,534,521,847,813,880,193,362,299,791,586,988,044,081,473,220,935,057,
055,723,437,182,679,614,759,622,337,410,485,663,058,065,066,157,752,686,025,
399,916,667,614,944,272,471,557,030,173,175,854,790,861,068,750,527,538,432,
311,321,145,400,159,847,795,313,859,337,465,206,827,174,256,530,442,796,430,
457,579,353,838,489,865,418,527,544,787,455,990,974,870,876,291,106,098,901,
915,233,865,756,923,321,752,295,007,327,832,500,608,439,854,262,987,715,282,
199,121,846,807,535,052,572,614,689,070,843,550,708,931,538,991,429,637,792,
323,510,823,303,496,133,932,372,716,944,293,492,396,385,257,222,349,571,668,
958,465,504,925,615,137,041,965,079,182,220,777,587,776,163,190,660,856,065,
551,990,791,999,152,049,673,734,070,265,062,352,758,622,351,292,275,160,076,
296,485,106,683,555,771,940,061,055,731,473,688,598,051,287,466,635,463,897,
429,218,688,436,444,966,811,981,114,173,221,232,823,437,806,113,939,727,168,
130,035,075,838,138,927,496,141,689,544,901,973,906,854,016,887,037,538,511,
708,571,477,522,834,375,485,508,502,467,032,584,915,605,479,813,182,410,978,
373,175,048,393,723,356,188,668,737,547,358,196,851,903,055,706,273,491,635,
081,512,226,734,797,894,630,735,737,266,649,098,526,983,953,587,660,801,394,
407,044,997,906,114,828,902,342,313,369,456,593,261,674,297,294,737,491,230,
584,306,823,663,265,288,836,832,772,462,014,859,009,814,429,834,952,213,869,
072,012,040,890,255,321,931,586,788,374,249,162,355,691,130,230,972,426,743,
300,360,272,358,562,173,061,292,689,045,966,502,179,808,240,506,451,260,534,
199,366,406,439,369,918,195,068,661,480,891,697,996,549,163,158,077,791,916,
299,288,634,283,402,225,443,271,538,691,778,425,789,091,360,077,381,350,306,
817,903,197,457,583,607,309,377,976,967,294,637,736,735,846,610,949,969,817,
836,413,507,268,868,114,606,374,426,168,217,941,315,298,068,744,365,272,374,
330,370,018,145,459,387,426,456,394,203,694,684,912,916,584,741,209,368,910,
567,940,121,311,937,636,220,097,027,848,746,333,163,447,046,066,973,366,769,
987,433,820,502,388,287,679,225,498,677,930,892,757,511,800,723,961,581,128,
446,626,592,484,509,930,919,564,880,319,373,327,577,115,782,732,442,752,339,
332,928,949,584,301,445,954,027,352,498,424,725,974,927,533,701,352,328,752,
468,160,076,031,872,884,016,289,688,814,992,476,332,808,692,460,590,830,830,
206,492,359,090,587,340,946,001,914,486,383,726,824,167,302,553,377,720,017,
419,593,665,011,033,229,134,668,959,739,065,096,158,076,234,512,596,229,264,
513,585,491,790,376,006,820,318,980,704,386,058,968,224,730,902,541,830,384,
250,664,299,168,287,230,828,746,327,725,801,810,761,353,763,502,669,406,435,
110,917,181,631,954,320,424,114,680,359,552,086,657,910,662,142,172,457,344,
686,232,454,510,668,972,762,499,116,164,736,251,123,337,388,557,420,230,226,
542,366,487,275,846,685,096,161,020,577,204,066,578,657,676,749,480,727,260,
492,907,434,362,940,410,163,114,760,532,592,776,376,264,290,381,485,689,348,
368,349,589,237,866,323,218,431,851,354,508,948,818,934,711,269,461,846,626,
474,627,315,164,767,492,424,593,854,708,559,033,867,549,055,821,183,030,403,
816,040,080,637,583,950,989,773,136,669,221,583,425,785,815,396,759,767,497,
792,204,314,222,507,769,059,412,891,432,286,333,631,213,112,516,156,868,239,
460,460,089,542,791,558,867,062,380,346,367,808,468,936,034,973,564,272,594,
069,922,136,958,120,565,148,893,071,225,270,993,111,219,769,341,139,840,736,
184,251,580,375,554,004,636,567,768,888,747,825,617,119,173,552,812,661,468,
197,152,811,278,679,566,300,694,951,236,845,998,117,721,139,566,165,849,588,
397,858,831,171,970,697,181,450,406,234,741,315,583,446,925,418,559,336,942,
244,141,606,901,688,045,474,365,073,022,592,229,917,324,734,138,252,671,253,
589,830,023,135,896,729,130,026,999,217,308,022,655,256,971,630,304,206,793,
623,488,644,474,250,383,979,194,367,112,374,876,765,078,046,758,037,048,399,
207,755,789,777,660,654,666,974,938,322,798,757,257,728,941,447,600,014,245,
421,794,154,747,399,954,821,898,443,001,068,049,050,667,765,877,784,615,644,
285,568,127,268,620,383,649,993,138,229,823,883,129,746,860,529,577,331,945,
079,936,989,625,957,670,001,361,318,318,842,601,303,160,794,514,853,626,431,
997,846,606,575,125,836,894,035,373,568,031,013,903,292,843,086,760,919,204,
266,114,973,614,906,130,983,229,485,824,653,182,797,275,935,269,800,331,152,
344,623,850,016,668,281,287,553,634,907,461,069,689,816,901,873,602,775,262,
604,965,671,284,825,948,846,835,449,935,778,032,211,085,891,131,944,386,341,
974,112,930,666,889,466,070,071,090,210,726,460,495,295,554,676,846,846,600,
437,665,965,274,045,956,195,286,278,557,867,096,625,502,531,767,255,152,281,
844,746,898,198,180,797,232,314,779,022,978,032,226,098,094,191,120,875,203,
230,563,121,303,995,833,743,823,663,445,967,198,129,900,765,735,601,594,984,
769,234,952,683,005,840,027,496,298,427,993,423,313,929,810,711,902,603,946,
790,488,738,338,863,484,677,179,629,359,837,710,229,488,053,708,892,340,781,
711,652,651,696,601,163,856,269,870,123,158,294,155,645,064,818,377,112,630,
121,228,582,913,911,385,460,019,074,595,583,484,866,366,487,362,475,214,393,
237,585,286,372,401,197,023,909,408,473,301,508,882,906,009,727,950,178,778,
051,938,068,023,240,889,877,578,381,938,992,403,008,059,535,873,437,391,561,
179,961,445,144,049,517,700,417,193,814,280,746,759,267,222,851,542,687,099,
912,316,848,178,521,707,775,001,308,412,678,653,327,045,531,800,418,464,097,
679,368,455,828,886,756,567,818,557,081,969,562,349,673,107,107,152,834,131,
624,123,827,135,979,976,538,162,416,237,512,976,880,694,537,715,937,989,217,
702,328,380,112,202,784,850,792,922,027,885,266,578,281,766,714,373,767,839,
527,316,797,400,391,484,789,553,594,511,338,830,502,668,777,899,928,363,467,
023,335,668,128,689,272,715,498,940,159,984,602,199,048,521,515,131,812,453,
269,159,226,396,711,930,297,231,089,947,938,859,099,689,688,920,485,011,606,
359,648,857,023,975,459,323,886,902,965,090,668,352,121,418,381,010,409,666,
219,972,378,532,998,140,772,182,190,909,597,906,842,315,715,791,068,481,659,
980,316,597,598,167,032,680,703,828,223,881,594,889,831,096,379,605,820,753,
561,142,441,715,633,039,099,153,330,839,888,251,004,821,074,959,497,222,462,
809,654,823,583,187,300,562,418,811,034,784,418,457,450,367,744,694,138,800,
696,081,160,108,941,536,843,682,633,385,375,171,278,198,816,135,708,124,344,
581,346,440,042,927,566,654,813,853,932,709,638,436,568,224,616,664,935,480,
591,077,406,651,480,838,878,453,264,079,015,131,685,132,104,680,680,682,524,
725,598,195,391,054,848,710,197,083,552,802,978,095,101,241,600,432,282,942,
441,494,937,472,666,946,109,247,203,472,881,069,467,886,419,102,120,331,676,
061,988,494,257,373,163,615,813,367,402,699,814,018,528,170,811,418,255,818,
377,798,842,363,655,210,995,924,915,395,433,428,890,604,178,217,581,361,011,
845,339,615,908,915,502,019,594,630,276,705,455,506,355,440,721,358,227,565,
594,020,258,144,845,316,191,183,764,419,812,755,930,357,091,517,999,183,821,
930,834,345,397,701,266,095,600,098,500,605,546,225,637,133,027,240,502,470,
548,181,123,478,284,591,959,785,877,883,078,150,981,741,514,912,276,340,306,
800,479,784,955,220,562,955,214,085,318,541,979,261,057,863,922,711,299,659,
940,552,314,576,099,445,843,880,661,608,414,797,314,232,169,023,884,487,804,
778,491,657,121,362,829,936,494,814,603,278,987,143,923,270,677,776,644,599,
894,709,259,142,065,303,410,690,684,630,116,899,951,471,308,710,492,637,805,
205,191,646,742,654,082,610,964,281,813,111,005,337,803,625,738,292,854,372,
239,536,461,150,394,406,786,364,177,593,188,219,825,778,359,694,061,918,831,
826,158,555,335,540,468,382,010,377,809,605,454,346,474,783,660,434,702,865,
803,186,044,433,514,917,559,304,345,314,664,927,407,392,373,134,852,992,582,
062,317,777,919,025,961,569,969,720,715,419,254,923,763,602,224,097,772,802,
140,532,225,630,700,235,716,890,441,147,814,078,135,406,240,090,291,222,710,
507,121,417,701,739,524,134,765,934,513,976,275,982,927,064,391,159,534,968,
778,010,865,157,909,828,647,686,809,169,275,589,628,882,438,046,154,424,731,
758,702,387,147,662,651,952,890,784,463,789,680,901,021,859,000,275,510,350,
604,331,505,639,524,685,896,337,267,251,383,812,729,696,986,441,775,728,577,
261,853,488,292,543,066,871,314,784,075,482,417,028,133,092,009,434,265,509,
998,923,248,581,001,154,525,696,420,185,310,489,815,701,121,872,733,511,744,
836,958,938,988,220,985,709,229,779,584,636,054,866,391,647,622,600,664,996,
769,106,091,408,478,710,178,999,473,058,825,430,104,678,142,752,082,804,859,
581,770,867,761,734,830,392,384,030,849,650,376,105,195,494,956,619,853,550,
570,229,067,635,525,548,498,572,920,589,237,840,439,157,707,434,166,106,068,
887,863,921,712,281,468,741,133,104,203,352,540,117,699,379,679,162,136,470,
329,865,746,190,229,404,075,445,967,067,553,257,540,966,513,914,569,992,821,
549,298,551,937,641,330,719,489,977,956,552,367,872,125,170,472,985,583,444,
395,134,056,427,978,106,357,419,215,278,273,007,712,940,598,215,422,593,909,
748,667,786,160,593,462,086,068,956,074,831,805,177,158,786,921,227,786,011,
085,476,489,258,119,399,075,422,841,754,483,562,482,024,922,327,370,911,800,
950,085,873,545,958,508,853,049,286,634,804,942,410,206,460,118,971,937,723,
826,612,945,560,221,455,760,063,924,096,203,163,745,701,497,777,198,756,894,
932,491,153,382,687,714,651,962,455,073,252,551,458,831,224,466,021,569,675,
546,173,466,315,026,382,881,071,812,398,754,339,187,281,259,435,279,918,553,
981,652,762,823,943,491,986,035,910,965,437,648,580,155,907,559,941,119,582,
309,702,987,048,719,639,283,419,484,178,364,393,441,174,052,438,679,965,502,
724,326,081,430,170,489,643,616,124,225,552,684,567,748,294,008,809,858,025,
864,999,679,540,445,942,464,057,338,256,367,740,545,982,327,069,940,606,023,
149,081,528,121,089,812,556,391,150,199,145,000,222,061,603,336,320,362,678,
044,780,926,697,720,762,056,081,916,168,875,444,765,099,224,148,794,940,451,
634,197,431,082,145,614,647,204,470,493,235,520,041,126,268,905,695,682,559,
015,215,107,172,234,942,761,319,371,130,787,565,092,362,348,760,705,031,084,
859,687,381,058,089,189,421,540,043,278,491,158,843,292,047,176,306,800,308,
461,954,285,861,047,465,211,396,392,417,774,872,137,842,548,525,356,764,694,
712,826,749,112,431,891,065,978,625,756,231,164,769,928,946,952,204,860,089,
415,434,790,185,226,372,134,582,361,175,825,967,288,887,728,881,659,885,554,
276,565,523,111,256,144,184,784,561,524,866,226,635,295,837,991,255,216,745,
231,477,429,941,603,476,088,022,383,687,308,193,705,521,694,858,401,322,612,
131,647,662,176,302,395,142,422,294,562,736,219,271,154,664,965,876,909,597,
488,613,608,742,332,863,824,836,093,225,632,826,950,983,437,565,922,396,218,
895,169,898,793,833,144,064,646,934,966,472,611,687,475,590,621,638,630,347,
803,832,691,167,715,608,271,075,924,622,507,238,107,654,988,687,322,585,163,
458,669,255,973,570,284,592,649,956,876,131,598,885,488,913,397,286,307,286,
359,391,934,858,998,559,824,113,877,252,467,933,481,324,350,701,732,703,155,
133,813,824,820,918,584,191,926,248,050,208,034,121,153,095,282,993,929,520,
882,212,410,257,346,103,362,267,667,176,345,235,234,899,810,762,491,843,647,
190,438,075,836,182,053,578,408,979,937,236,587,348,662,620,158,925,467,543,
961,482,401,175,769,213,149,413,784,981,912,781,687,193,616,988,883,511,287,
229,631,019,423,854,701,139,361,509,124,155,980,934,212,446,095,106,486,122,
967,428,815,495,233,721,797,400,527,051,623,902,532,586,491,027,406,095,289,
606,847,071,959,684,824,902,530,024,338,523,826,562,822,692,549,421,241,864,
006,138,268,031,721,579,904,253,808,133,856,245,353,721,764,141,328,715,369,
167,498,652,332,947,031,918,193,840,897,042,497,973,642,356,772,117,289,727,
384,975,306,746,312,985,478,865,050,818,872,152,633,176,265,287,025,776,263,
816,709,026,337,351,081,845,560,607,458,700,641,887,376,915,682,611,333,181,
718,316,623,402,978,800,457,063,185,362,871,415,935,186,267,810,224,017,626,
552,430,102,160,081,982,332,684,475,185,770,357,611,520,182,376,554,483,708,
664,622,820,650,341,410,185,501,214,076,183,968,221,567,510,546,649,795,434,
407,720,911,006,657,892,562,192,946,122,226,883,303,959,650,826,288,744,606,
069,628,216,876,337,585,014,100,194,839,218,807,964,797,876,538,698,106,355,
389,253,161,035,635,567,946,623,157,295,869,379,987,175,287,442,818,831,085,
510,785,366,169,838,521,821,380,424,641,111,764,430,083,932,901,601,265,949,
001,360,714,481,989,338,731,975,616,712,761,502,424,730,810,819,021,751,463,
573,990,421,372,943,808,764,647,217,125,121,583,912,050,637,454,872,898,577,
903,993,341,411,715,856,167,707,625,419,409,703,411,689,939,477,000,392,846,
319,427,154,335,916,007,489,183,817,323,003,904,969,792,891,874,875,636,586,
062,483,286,215,181,661,844,935,018,807,703,319,029,309,982,854,142,050,640,
108,782,359,347,403,688,068,338,677,857,161,465,839,752,272,515,063,082,781,
351,847,091,048,718,096,615,355,308,118,048,163,842,439,965,933,312,474,437,
583,801,368,318,512,060,765,469,556,954,582,238,709,355,284,876,750,728,380,
526,205,860,480,238,296,218,893,480,212,665,584,613,139,447,881,982,107,330,
463,530,734,520,670,360,591,349,969,006,805,230,739,146,268,216,488,730,897,
036,341,197,681,408,394,754,934,006,668,696,890,157,508,631,954,355,584,525,
467,746,529,882,275,354,894,271,647,433,713,445,095,584,919,271,135,623,506,
130,014,049,771,821,652,851,408,655,782,804,808,468,713,386,447,644,019,877,
999,042,522,460,649,763,714,726,022,506,556,035,986,439,755,143,744,517,491,
986,711,550,094,839,212,836,378,394,206,820,029,901,107,235,203,315,378,590,
246,323,257,695,227,916,573,384,455,053,864,983,486,222,607,719,005,498,345,
867,081,676,047,021,419,536,103,915,923,680,902,568,792,794,524,686,586,138,
514,098,666,903,278,253,988,482,804,952,994,016,341,674,236,152,407,663,992,
375,506,255,924,617,096,953,602,192,263,366,500,447,396,193,747,901,224,032,
313,301,697,866,222,649,817,414,864,889,273,108,002,143,027,632,379,330,230,
944,239,202,186,489,286,914,523,221,492,175,600,290,935,211,479,837,766,680,
823,170,061,525,316,546,096,975,249,813,900,011,643,538,746,144,013,213,331,
704,515,342,752,429,849,231,983,887,929,312,478,373,551,399,015,648,145,320,
107,994,044,395,913,230,535,178,129,640,102,580,808,250,559,553,449,416,783,
691,769,804,930,147,292,768,470,169,115,540,638,046,873,691,173,531,938,369,
756,296,950,785,452,494,109,488,639,905,442,951,099,004,067,442,409,219,345,
308,646,511,957,917,460,640,141,394,518,932,788,171,916,170,787,739,493,751,
090,531,694,159,664,769,902,804,703,450,078,376,640,691,574,638,074,131,087,
673,140,283,933,089,957,976,149,264,932,404,735,089,302,243,297,240,277,126,
613,943,049,109,650,069,959,556,028,870,416,754,626,642,128,814,620,583,039,
694,769,350,792,192,797,963,683,592,271,451,440,636,079,464,970,891,100,007,
530,355,471,718,250,006,796,805,293,501,426,046,112,725,769,620,916,428,981,
897,740,594,131,978,521,440,163,814,393,925,043,403,056,795,524,391,139,189,
374,553,273,268,765,756,673,029,150,919,698,840,428,731,966,035,769,740,546,
064,194,848,721,069,546,187,244,190,104,087,727,130,488,540,168,930,994,891,
035,316,850,087,709,649,634,091,338,813,408,406,505,551,124,109,975,410,483,
786,798,496,175,810,889,325,315,273,339,644,060,824,416,035,217,620,736,536,
674,147,129,914,970,015,833,798,845,680,338,321,694,726,145,843,013,967,617,
817,627,449,045,955,273,147,619,423,044,001,752,308,634,988,327,939,259,481,
753,339,362,702,554,009,262,292,158,787,267,470,442,397,037,661,570,506,022,
788,267,706,739,194,370,981,130,199,689,490,969,298,692,640,175,582,220,156,
178,569,348,487,560,787,756,220,472,682,167,415,740,777,771,924,349,813,403,
434,243,183,082,216,234,204,546,224,890,658,431,810,938,062,049,937,753,952,
616,660,931,127,455,305,333,112,643,018,923,041,081,146,521,564,742,772,666,
945,129,785,483,877,657,674,286,360,547,562,304,116,416,411,867,198,675,124,
281,193,793,046,406,811,976,542,091,358,407,488,958,564,215,325,492,868,395,
244,159,879,888,176,372,173,327,104,419,256,079,170,938,186,368,355,965,609,
304,015,215,456,535,214,464,940,519,291,709,498,085,199,822,864,717,669,168,
419,549,428,550,216,101,754,922,988,915,556,308,087,441,818,642,559,533,177,
409,715,589,282,275,667,248,193,735,134,788,943,482,915,651,343,927,343,270,
124,872,057,337,530,065,637,069,091,422,551,050,867,256,091,479,552,661,784,
683,373,295,801,252,400,293,303,316,710,793,577,122,363,718,121,281,140,697,
387,809,453,981,997,633,272,025,669,767,498,475,390,538,782,962,625,534,408,
333,165,792,604,764,799,899,231,007,797,176,879,153,445,285,378,172,558,046,
064,012,319,747,553,445,348,175,906,854,799,448,910,854,794,651,805,942,998,
440,082,408,423,722,699,006,538,793,737,634,253,559,627,607,311,771,478,506,
527,012,602,012,716,751,174,894,728,914,186,394,188,708,175,064,547,721,395,
673,671,210,140,113,212,871,877,539,349,639,927,949,162,847,480,075,414,377,
379,944,516,739,816,286,059,147,796,293,192,178,847,101,350,739,447,181,044,
669,909,272,850,495,799,627,783,158,530,473,900,830,609,669,026,680,691,016,
380,928,907,194,692,658,845,589,374,359,526,148,128,649,167,949,114,541,470,
660,149,139,598,541,890,263,877,657,888,120,088,379,011,031,746,774,173,207,
403,128,305,596,024,688,311,310,968,996,118,079,819,428,775,496,220,310,669,
366,917,200,428,418,954,799,771,213,387,896,831,765,530,733,888,881,569,624,
501,572,636,396,120,450,716,172,626,231,496,951,926,517,777,211,078,487,984,
740,731,774,988,142,938,458,010,482,453,952,133,158,606,126,651,829,592,347,
445,387,781,051,203,614,932,019,534,925,020,862,574,512,678,879,548,952,169,
667,624,219,709,023,298,854,074,993,726,490,633,169,387,792,183,191,572,034,
396,150,469,968,745,743,252,484,437,985,128,836,060,694,390,592,500,549,612,
667,230,281,660,194,993,454,233,029,890,222,367,285,387,089,416,719,712,346,
725,349,599,691,838,102,521,303,447,632,671,310,608,672,890,118,252,110,102,
504,783,520,521,546,952,765,886,166,495,684,809,058,981,917,877,284,199,823,
338,364,716,224,924,345,868,592,778,859,581,696,812,422,598,476,094,310,021,
109,049,382,958,390,750,626,611,760,209,982,210,684,456,771,436,970,117,824,
175,897,317,636,566,755,551,107,389,264,248,681,493,036,958,587,495,133,570,
932,501,988,322,373,202,392,303,043,057,327,242,129,305,339,404,858,332,849,
437,773,640,830,633,656,965,471,439,862,893,662,455,097,890,363,134,796,572,
651,431,685,611,760,413,031,976,739,317,456,785,192,006,487,161,762,663,453,
879,000,128,979,595,268,194,650,524,560,070,118,699,070,516,247,716,024,348,
981,981,397,233,742,354,663,081,157,959,049,939,296,158,942,928,550,107,746,
350,325,734,866,488,672,194,679,349,328,054,366,717,134,221,571,734,422,171,
185,721,268,221,185,324,507,023,347,785,436,771,872,457,770,221,705,078,526,
897,005,527,069,726,732,354,674,728,712,344,125,776,472,310,310,240,073,801,
726,119,515,904,038,447,405,851,026,013,422,615,503,850,624,191,106,490,646,
964,470,356,694,476,798,883,320,261,003,207,119,650,763,519,802,658,117,421,
062,887,109,076,980,814,752,094,336,169,049,327,324,640,002,267,228,900,802,
441,183,887,685,789,444,578,715,053,316,359,851,761,808,594,230,918,183,641,
168,879,430,206,202,117,588,591,887,454,789,584,976,895,034,654,650,306,434,
833,424,398,505,328,107,448,011,607,337,722,133,981,741,418,439,010,018,520,
547,896,773,214,735,899,971,436,275,950,561,002,522,940,245,863,584,169,034,
842,670,429,030,476,182,645,235,580,066,350,108,816,921,467,941,646,343,219,
657,423,322,889,807,799,098,625,741,186,140,950,023,695,588,781,618,209,450,
057,963,108,162,808,290,473,984,227,235,003,360,372,260,215,643,567,068,063,
883,779,000,868,771,665,742,993,694,944,235,034,468,028,631,960,343,110,278,
741,898,358,221,853,654,764,690,851,411,181,464,767,380,008,653,347,226,639,
643,894,838,817,583,145,348,575,981,744,250,001,557,531,378,707,392,979,190,
877,576,926,384,611,511,092,154,335,839,857,394,854,105,907,037,087,240,372,
017,140,418,174,222,896,440,800,916,221,854,206,896,106,006,480,391,341,878,
982,967,579,948,032,661,885,468,785,814,829,474,542,534,774,012,098,470,318,
066,929,429,509,845,903,120,816,897,231,204,983,952,370,938,182,052,373,491,
745,592,092,676,102,950,528,073,002,244,836,157,039,880,002,141,542,030,665,
051,789,469,859,064,088,112,515,419,965,018,053,138,366,714,739,067,698,750,
226,771,855,924,179,035,874,388,165,090,299,442,591,265,272,978,941,155,795,
230,374,701,578,785,702,643,812,122,090,641,480,572,730,462,005,625,061,773,
595,330,332,189,259,935,751,782,281,360,220,885,199,560,649,048,055,021,535,
600,312,698,148,752,747,419,263,051,308,930,544,574,535,932,223,125,506,967,
469,739,294,770,515,298,455,099,464,964,129,418,644,248,446,103,465,275,899,
846,420,580,291,357,190,556,068,152,828,135,531,322,027,023,089,940,047,195,
041,534,993,005,927,911,711,708,339,586,420,780,867,438,429,002,012,047,174,
087,833,185,278,916,014,115,061,912,388,146,978,001,520,905,397,226,730,045,
746,102,426,423,346,931,592,893,856,481,735,434,445,650,049,665,539,228,439,
526,364,930,819,045,352,431,976,194,173,044,376,998,886,851,744,087,483,966,
388,879,173,141,908,625,782,658,403,485,296,678,637,399,693,972,993,298,439,
346,189,405,694,294,990,104,200,258,414,455,945,248,281,178,255,192,218,648,
047,116,957,054,197,278,868,832,644,914,402,000,794,207,272,038,373,480,860,
946,488,670,984,821,427,248,696,721,872,119,860,032,859,934,249,698,948,660,
176,387,539,501,044,276,208,178,187,351,003,740,445,916,242,280,895,051,437,
492,820,597,468,921,454,153,576,018,263,027,709,860,453,482,183,185,227,248,
358,546,215,447,650,249,904,270,609,766,236,839,720,010,460,665,978,721,348,
498,362,605,952,456,698,471,162,464,557,725,877,575,260,526,206,645,560,186,
357,156,393,915,848,485,902,951,959,981,310,558,135,685,279,829,861,301,202,
222,461,836,022,775,069,558,162,423,808,734,308,389,249,781,193,778,842,353,
563,238,909,976,189,232,693,933,346,104,803,628,601,000,775,247,141,718,312,
267,714,532,905,778,702,341,480,834,499,901,200,723,072,020,504,816,025,217,
422,977,473,598,760,175,449,570,926,611,255,760,816,338,781,600,669,730,552,
608,174,503,653,498,118,147,779,486,479,460,549,374,648,762,702,896,562,136,
149,599,278,568,965,206,623,539,330,585,426,962,842,849,592,752,397,898,839,
842,505,828,999,647,588,268,701,453,854,675,718,798,036,354,537,192,253,432,
783,361,855,738,107,204,712,748,498,138,940,596,264,680,257,742,686,978,432,
080,410,737,402,497,025,244,237,992,369,265,769,196,289,609,913,303,887,440,
815,363,405,473,887,689,701,468,431,327,285,733,770,452,471,212,540,204,917,
478,724,579,268,070,507,305,731,694,788,109,950,063,829,885,172,359,477,766,
492,976,528,681,540,487,537,923,403,581,794,990,340,920,724,751,469,446,823,
969,982,610,579,543,342,087,291,334,187,830,302,687,831,453,256,929,637,061,
098,375,147,181,229,374,200,861,613,485,486,436,725,548,233,603,770,880,775,
365,631,158,831,055,215,880,342,278,377,774,152,299,485,251,469,976,722,066,
636,043,591,114,799,185,989,589,202,746,129,377,590,684,600,644,491,041,842,
786,893,545,684,795,850,145,421,398,008,135,473,871,664,678,801,527,097,021,
556,958,522,950,307,224,381,085,248,822,096,393,610,984,270,613,745,815,705,
278,899,507,779,776,557,842,290,407,959,353,652,419,103,034,667,449,199,139,
259,680,133,354,040,904,076,596,018,264,934,245,007,344,307,386,193,734,532,
114,554,121,159,096,783,619,419,558,502,837,738,298,338,043,925,429,876,668,
672,610,760,538,448,070,015,718,283,650,514,020,000,311,298,586,930,990,351,
948,664,872,712,274,651,081,258,720,814,268,847,183,697,151,867,144,519,862,
321,625,661,174,693,432,437,397,872,658,645,892,509,226,503,893,255,682,377,
962,038,915,340,511,145,255,950,987,835,030,681,586,816,447,714,975,802,903,
512,795,305,018,299,400,999,564,866,333,531,254,943,513,967,232,630,938,162,
732,078,852,228,057,678,004,098,314,866,737,228,665,767,344,002,057,284,154,
478,807,369,592,069,712,586,285,448,595,038,013,110,682,825,257,896,521,000,
818,504,712,321,672,717,136,967,872,956,923,545,242,358,320,058,087,393,295,
550,370,333,179,911,693,911,748,882,618,970,700,216,270,239,011,158,883,399,
790,805,188,595,887,111,800,467,955,660,489,595,507,840,541,269,366,744,747,
302,017,055,667,364,983,427,437,372,936,944,765,465,202,403,639,439,361,889,
715,782,461,505,794,954,712,362,862,354,349,891,283,653,303,661,149,213,936,
895,768,534,867,890,923,140,365,143,662,151,421,607,423,421,856,052,763,086,
403,524,911,925,053,029,995,375,095,196,287,532,814,352,977,970,294,964,219,
783,596,230,169,319,414,054,611,933,540,117,130,246,502,011,319,293,518,650,
642,731,545,765,404,302,915,539,560,571,393,077,272,328,228,689,915,998,780,
371,013,149,649,035,882,882,842,702,321,789,995,923,092,473,303,570,964,897,
737,546,044,728,507,449,311,547,199,313,417,062,105,616,707,813,462,301,324,
921,760,357,045,889,832,566,759,709,259,480,836,580,689,411,835,222,186,736,
477,974,009,474,526,230,324,312,957,999,540,201,288,918,249,194,334,560,426,
192,355,649,899,594,493,194,516,511,389,390,899,937,881,686,178,157,185,152,
347,205,687,384,413,474,762,331,425,111,944,671,227,911,847,990,901,681,800,
064,505,952,922,940,349,768,306,966,984,598,941,250,196,115,829,778,745,243,
666,981,988,318,568,028,062,025,425,806,763,770,715,307,805,989,879,130,053,
299,489,673,023,740,903,442,356,869,318,651,498,305,804,953,551,206,954,703,
127,816,378,487,414,659,256,973,805,289,979,216,353,329,516,733,783,014,853,
925,253,947,546,239,504,958,894,596,750,225,247,288,129,689,648,014,289,414,
841,103,118,804,756,660,817,580,966,990,410,376,602,445,203,649,784,007,990,
111,698,027,457,355,349,106,128,304,893,124,677,932,963,342,225,922,598,841,
811,746,328,447,394,136,268,702,932,864,117,772,022,867,620,818,621,630,027,
054,741,962,381,524,403,757,345,711,202,298,139,941,579,846,372,162,647,605,
588,968,435,975,029,561,195,740,783,130,338,347,540,363,013,233,377,964,733,
634,925,021,565,938,833,378,066,712,051,240,418,929,875,629,810,747,462,204,
225,355,943,429,852,828,583,947,698,424,645,828,704,203,192,385,115,409,276,
863,366,829,642,828,461,107,063,063,021,158,797,188,561,545,684,414,184,487,
993,801,271,544,193,108,963,236,248,304,348,774,915,125,345,850,432,799,713,
668,467,466,986,280,711,666,565,406,224,617,640,616,742,472,164,571,281,688,
735,243,547,871,265,712,196,539,672,245,122,275,555,213,642,317,937,842,908,
993,322,387,964,729,964,095,723,131,263,921,644,049,503,781,311,187,754,822,
699,159,055,958,560,285,611,191,604,867,920,514,818,966,652,217,217,207,076,
448,320,574,436,618,334,299,763,161,610,352,139,562,628,519,193,695,303,067,
779,890,694,961,036,169,593,617,551,986,293,018,085,831,913,195,034,827,592,
200,263,814,794,127,303,150,685,506,794,587,893,822,962,278,302,674,543,854,
303,886,665,096,562,602,662,899,059,334,764,305,190,938,385,041,794,983,538,
672,770,055,792,932,055,129,662,310,959,898,167,066,802,258,274,619,976,357,
254,079,834,138,985,351,071,242,018,190,162,034,661,303,773,250,517,866,398,
145,123,576,877,284,740,534,049,506,500,911,254,950,916,466,033,179,832,396,
284,044,149,447,915,101,616,861,345,648,353,076,814,537,188,447,565,996,556,
315,739,402,831,798,795,542,055,411,281,251,571,671,270,342,506,409,067,643,
848,630,529,539,205,461,410,257,433,303,447,676,315,874,262,244,270,780,682,
918,961,700,844,309,988,712,880,351,090,039,322,510,000,888,029,666,937,866,
073,344,844,290,648,004,658,795,730,693,533,096,763,418,276,877,871,444,151,
827,269,346,509,646,325,770,038,638,640,648,014,519,902,555,371,091,070,953,
884,315,438,705,932,021,281,636,520,208,816,617,657,657,099,783,231,875,049,
253,043,687,877,383,232,242,997,847,186,824,616,075,673,995,347,875,051,457,
646,337,130,344,853,648,827,223,610,332,814,393,651,746,465,434,204,433,190,
609,188,999,040,464,721,931,770,160,691,082,461,935,609,133,226,744,498,599,
621,474,013,517,098,732,042,135,369,459,036,499,525,467,632,121,675,789,602,
968,440,965,832,553,500,905,658,337,143,045,465,323,336,224,665,836,550,611,
709,851,354,443,938,821,602,499,791,519,981,768,468,185,563,582,637,209,860,
430,118,206,379,482,126,325,121,487,618,935,135,766,465,268,224,705,166,177,
945,954,127,376,393,187,993,239,159,949,876,622,709,003,596,453,703,144,904,
914,530,131,726,752,478,022,633,603,907,424,592,115,959,933,551,696,400,726,
333,487,530,044,583,895,417,422,742,608,567,994,747,759,726,461,024,484,068,
248,743,627,596,860,529,833,333,902,180,045,814,830,133,942,399,938,677,504,
145,016,209,262,931,901,999,998,806,567,770,868,671,656,922,937,244,001,422,
116,363,923,699,080,122,065,776,183,054,908,802,703,062,282,969,204,651,374,
317,610,969,737,161,902,108,015,991,496,624,886,467,310,503,561,505,859,250,
716,271,930,923,997,612,154,076,592,451,969,179,546,037,561,120,066,175,639,
409,058,776,467,573,932,397,604,788,022,031,866,032,858,450,900,697,524,178,
520,212,138,550,352,007,352,129,919,332,614,712,896,190,271,833,921,599,092,
052,784,775,891,383,017,146,261,054,333,728,849,926,146,557,454,068,282,240,
040,310,650,481,297,463,040,592,975,696,243,172,965,459,359,704,854,419,500,
287,874,248,483,202,841,399,513,584,362,647,430,647,902,382,743,064,244,193,
729,572,407,543,123,379,981,382,842,692,754,554,110,785,188,262,131,629,496,
745,727,907,107,669,119,643,107,271,706,373,864,001,559,659,041,662,881,054,
770,365,081,893,294,484,578,702,822,718,517,634,774,754,854,962,224,689,394,
676,176,528,232,019,716,976,389,835,544,064,944,437,896,705,692,708,809,509,
618,355,356,684,805,183,859,714,325,210,140,637,365,685,691,512,341,276,396,
503,049,499,302,034,368,421,374,457,742,901,638,031,479,212,769,595,102,809,
665,092,644,543,427,226,910,752,495,253,506,168,607,184,716,384,025,184,265,
124,885,939,876,745,350,988,979,925,210,444,370,500,951,300,084,418,486,057,
364,337,060,747,427,173,213,473,674,011,326,999,191,375,953,521,205,910,514,
457,206,968,833,303,216,407,396,972,351,474,188,209,727,842,450,165,035,086,
647,156,445,488,114,666,273,180,052,172,542,123,180,797,152,104,092,796,543,
485,116,166,311,108,322,257,067,232,112,012,205,619,549,663,689,206,544,865,
035,832,585,134,008,861,918,560,009,431,721,842,198,718,154,781,556,941,661,
725,058,988,408,430,043,641,705,788,114,883,824,943,019,597,440,037,597,359,
127,316,891,475,531,921,341,783,972,773,039,884,884,405,065,720,425,741,047,
328,970,478,984,593,808,599,394,329,977,535,602,722,392,847,654,553,860,708,
680,446,026,073,652,810,391,791,023,669,172,813,834,225,217,363,909,039,709,
550,704,864,222,362,792,102,460,951,200,551,477,500,894,904,068,218,022,770,
055,046,672,653,020,740,934,740,211,548,555,232,613,743,203,483,510,252,801,
047,404,977,574,115,733,096,787,749,840,653,484,411,326,136,841,436,627,144,
465,671,435,797,823,676,439,894,888,113,524,762,161,576,139,422,419,132,510,
685,601,097,220,868,298,253,249,781,924,670,201,369,222,194,915,837,797,952,
434,821,553,799,326,863,994,149,312,762,843,642,560,349,089,539,110,303,872,
563,680,871,840,756,905,768,188,590,607,826,394,026,529,506,791,557,530,682,
405,932,260,362,493,865,729,307,760,429,867,330,980,109,588,253,232,670,073,
103,473,917,448,636,686,397,447,608,369,390,953,183,762,090,461,572,991,688,
004,882,107,511,729,788,306,933,116,650,108,597,789,906,379,901,718,835,130,
665,901,023,410,899,856,230,054,194,835,616,519,878,106,418,694,710,203,517,
600,045,867,054,564,085,321,014,429,423,808,315,885,356,937,441,642,598,788,
516,632,396,006,896,840,211,483,684,417,304,004,456,990,854,420,977,965,515,
793,802,090,106,645,332,925,425,145,173,778,766,073,461,528,129,674,888,046,
886,494,102,910,740,625,121,012,734,773,009,001,397,097,593,350,666,144,239,
190,472,249,775,894,231,356,696,176,738,568,086,502,856,636,413,883,500,663,
041,954,260,413,600,873,492,313,633,664,634,354,462,797,113,681,070,369,282,
907,644,180,521,859,251,454,283,180,525,074,144,633,377,621,690,816,783,806,
576,891,847,151,251,381,519,360,099,214,233,067,649,763,457,894,638,821,598,
416,593,804,205,026,169,726,176,920,871,076,248,831,691,624,037,593,854,913,
076,925,069,043,107,968,400,053,561,840,403,851,438,508,556,452,395,403,821,
560,590,518,766,688,058,043,852,248,609,192,103,752,529,277,178,740,762,787,
048,254,585,023,266,505,185,661,165,650,295,058,467,071,925,474,841,977,691,
409,251,634,589,666,320,113,897,477,387,886,340,644,299,024,478,092,037,745,
802,902,010,654,571,684,739,875,588,959,082,646,339,512,898,031,644,995,881,
544,030,687,098,820,587,796,449,570,375,606,631,726,628,219,211,964,833,939,
694,184,605,667,242,210,269,882,606,854,790,802,670,374,307,736,199,860,909,
888,075,110,496,761,358,142,092,846,045,798,450,410,495,310,890,036,369,064,
753,649,539,056,262,402,691,744,283,425,846,293,030,242,167,811,650,866,454,
009,438,403,111,568,533,318,913,202,192,126,286,521,675,686,438,842,538,559,
603,087,618,978,850,217,745,909,964,351,339,121,513,577,168,495,070,010,988,
184,947,465,175,565,626,357,106,369,656,929,989,167,724,667,077,960,469,392,
792,389,989,618,284,347,322,858,921,034,516,779,259,228,654,838,797,735,545,
024,449,220,642,760,537,415,991,505,693,874,446,437,526,114,178,683,871,357,
441,350,904,329,780,840,311,302,743,624,568,321,709,446,834,805,607,508,510,
270,949,061,436,586,789,165,918,334,244,136,299,468,727,645,165,027,962,357,
107,090,496,697,980,549,036,178,034,164,601,807,749,256,316,953,214,799,284,
280,945,075,036,526,502,194,162,053,674,314,759,320,413,115,590,818,104,122,
197,044,900,035,889,332,796,382,266,939,479,492,778,610,524,413,936,764,963,
858,638,479,207,391,951,076,036,294,005,480,428,238,896,855,372,398,064,549,
610,165,917,786,004,559,870,448,717,652,907,853,431,003,319,592,706,058,725,
457,537,325,524,256,086,570,238,896,859,830,589,723,384,823,792,527,879,151,
214,793,822,389,255,908,056,189,073,679,251,523,314,270,821,928,765,294,738,
966,207,839,888,313,368,777,061,216,340,093,765,514,734,950,840,972,989,211,
114,633,089,653,478,785,567,389,495,105,740,153,273,597,281,114,276,930,117,
844,641,706,960,205,570,835,982,666,412,129,577,507,132,277,565,609,432,044,
182,236,707,709,054,276,530,807,740,236,071,531,864,382,690,065,125,156,904,
045,743,233,599,203,665,329,131,619,220,158,483,092,593,195,721,419,433,449,
720,174,659,450,506,020,607,674,773,914,796,653,163,781,561,178,331,649,943,
657,126,363,565,361,195,353,639,225,144,641,699,819,564,797,161,421,685,232,
537,985,261,406,624,681,958,523,931,416,256,025,164,788,047,056,495,156,079,
248,162,141,894,232,073,071,012,288,788,581,071,479,629,835,832,176,606,443,
243,433,040,099,287,777,989,118,054,690,260,351,210,270,385,401,185,256,666,
674,696,775,901,839,764,167,291,013,055,651,499,993,080,611,873,956,718,535,
708,702,794,731,086,031,561,477,103,378,463,952,592,393,619,884,729,526,211,
785,089,727,442,460,473,061,851,346,636,281,824,572,514,384,842,265,115,733,
245,757,339,492,945,673,482,349,631,351,040,558,619,259,582,459,781,470,797,
787,549,826,229,051,779,636,718,000,393,698,193,125,014,863,640,046,824,045,
982,626,636,436,279,275,051,200,347,003,191,989,236,819,893,848,112,584,639,
827,655,150,342,304,982,175,230,360,618,886,874,365,969,055,540,641,606,112,
927,850,734,196,515,997,257,688,464,333,800,573,291,149,851,058,859,419,274,
267,052,937,067,206,034,896,615,559,208,098,160,698,691,472,129,635,841,653,
539,981,466,676,980,210,019,880,399,043,468,605,644,586,960,266,567,929,596,
232,018,050,633,832,130,517,859,130,070,486,214,802,340,654,631,626,416,405,
926,422,079,588,964,408,842,267,583,195,834,773,702,614,470,714,992,209,351,
548,688,360,187,895,401,135,360,986,119,345,318,121,740,099,055,471,051,389,
962,669,516,007,240,064,904,179,483,144,957,307,657,603,873,441,346,885,886,
788,712,328,735,319,478,005,019,098,601,302,780,719,814,687,359,559,701,303,
912,834,914,630,575,257,967,545,981,715,133,011,582,958,276,197,019,137,582,
555,302,983,424,566,994,389,395,525,096,753,349,263,447,721,939,214,524,695,
188,308,121,321,300,838,923,359,636,678,198,691,526,654,869,811,667,258,669,
524,898,974,391,978,353,745,784,078,159,038,804,265,785,977,822,806,492,227,
486,090,375,667,906,985,304,537,210,781,448,237,873,277,918,264,214,575,430,
748,341,345,355,301,018,360,400,775,531,589,024,077,142,113,792,712,283,356,
559,877,344,150,402,931,132,130,097,689,431,497,342,120,371,643,015,712,052,
615,282,911,031,991,024,324,160,996,911,592,721,225,029,755,222,027,243,373,
274,075,629,427,815,473,432,160,036,161,187,450,039,869,289,097,308,152,633,
524,100,502,669,643,743,970,026,883,737,697,071,411,259,633,038,839,181,640,
775,466,864,538,216,865,762,375,489,811,858,559,029,102,279,561,519,500,677,
112,755,014,430,837,217,093,610,263,595,782,584,451,477,401,902,971,734,419,
810,853,789,592,784,419,599,068,586,791,253,838,094,667,112,030,031,148,178,
590,891,625,538,329,985,307,764,358,560,193,997,487,881,192,249,572,267,032,
422,728,707,998,762,131,671,180,177,816,269,191,604,260,162,557,482,607,497,
559,974,165,058,459,385,918,443,932,693,548,947,437,132,161,106,465,982,025,
517,054,675,009,401,454,598,928,547,286,368,407,379,413,108,777,922,880,683,
508,829,800,398,430,635,133,848,827,429,569,218,918,595,679,543,605,857,712,
730,573,972,433,342,193,005,772,645,292,928,537,178,046,782,157,080,512,575,
416,682,301,382,843,926,120,531,975,195,272,961,011,609,053,282,213,064,621,
096,908,541,456,896,262,648,454,914,632,611,118,290,627,087,495,027,605,268,
528,029,184,464,414,418,747,047,657,207,980,986,978,267,233,814,820,495,156,
511,963,396,468,726,354,897,367,744,564,763,429,217,476,071,624,102,218,834,
153,571,445,616,500,179,436,540,958,099,392,287,174,209,596,947,767,440,238,
325,667,680,663,444,986,602,178,307,229,340,666,757,717,920,072,325,576,922,
857,676,232,428,639,976,695,734,180,141,862,847,947,996,101,754,448,185,031,
331,759,628,151,495,043,901,474,151,899,818,714,510,826,863,077,048,647,369,
405,854,729,996,673,406,663,440,824,645,347,997,703,321,707,647,290,789,151,
423,072,054,769,272,422,442,714,678,263,603,410,573,046,054,475,832,650,230,
689,466,658,723,583,119,227,473,377,903,453,182,382,961,225,880,051,439,669,
970,252,540,161,133,868,791,778,316,801,842,820,436,873,184,139,415,308,698,
384,407,930,910,895,022,016,011,431,214,188,425,857,239,954,762,270,712,518,
444,765,463,488,714,845,745,966,104,248,669,938,511,601,374,538,785,155,954,
749,217,384,758,157,408,220,991,886,903,532,330,645,309,845,419,471,632,001,
972,555,553,902,945,318,289,594,618,811,127,371,392,460,671,241,200,558,230,
619,664,316,057,161,043,086,434,883,523,365,497,553,453,276,298,708,698,096,
963,239,719,571,271,550,228,817,619,010,429,208,731,050,865,214,261,529,340,
122,553,138,547,756,954,766,112,820,749,285,823,794,305,978,543,696,614,329,
202,863,953,530,580,138,916,400,236,583,600,581,103,299,878,142,481,688,829,
445,486,395,015,567,154,933,491,381,319,389,859,981,313,274,975,980,732,750,
673,923,756,329,770,285,702,126,928,866,436,981,454,056,922,682,670,794,138,
277,351,458,473,915,365,586,109,669,365,419,710,267,331,413,696,220,500,568,
678,775,622,608,715,843,103,872,619,455,166,344,147,230,313,197,065,293,067,
197,292,118,439,561,654,495,626,408,783,629,030,663,737,192,772,032,677,416,
906,413,546,257,733,789,730,368,529,590,112,399,373,429,539,619,711,656,359,
342,418,042,208,470,577,790,925,308,856,728,969,934,707,891,594,057,107,278,
181,771,237,834,137,871,782,788,570,801,585,932,471,506,514,877,772,849,269,
435,601,920,927,773,649,735,736,920,555,465,899,870,891,972,982,724,942,979,
826,304,504,354,304,103,223,098,737,890,781,146,389,672,950,187,676,095,060,
883,374,229,819,598,994,263,332,178,779,074,544,172,924,460,899,710,190,642,
751,702,080,748,539,350,897,612,175,079,718,157,311,943,772,272,344,286,044,
914,624,719,697,280,038,437,622,947,526,652,436,714,180,666,720,760,184,552,
939,395,214,344,809,838,260,406,123,810,311,022,649,763,669,511,590,141,957,
705,299,545,850,033,849,356,476,647,091,044,832,977,783,083,074,362,498,595,
827,789,342,963,440,218,175,213,666,469,651,617,311,834,630,464,952,318,991,
264,658,632,994,025,598,971,150,639,565,195,498,119,727,315,740,927,237,850,
074,678,586,822,624,149,193,288,256,949,202,296,944,871,385,536,224,218,907,
014,211,714,523,337,406,818,363,843,812,938,768,812,520,642,937,680,128,132,
119,882,545,408,449,240,204,618,059,725,526,065,969,865,050,917,987,983,872,
208,964,797,500,457,003,937,028,191,846,191,692,764,491,978,444,753,037,497,
988,382,807,103,279,272,592,184,367,770,877,591,816,426,396,284,951,455,962,
740,941,057,456,983,938,016,651,729,469,711,035,405,450,289,189,592,266,306,
014,773,832,150,360,440,345,376,822,365,722,811,446,743,100,601,009,694,485,
951,473,773,731,948,351,637,659,427,546,394,023,372,958,376,801,861,691,907,
774,744,284,204,783,536,804,708,056,064,488,910,380,733,732,057,953,111,892,
569,847,465,047,667,068,892,556,655,940,263,290,492,094,459,414,971,936,973,
297,701,567,100,695,490,625,183,154,933,099,345,630,598,669,298,067,946,708,
209,749,054,974,710,823,714,642,429,543,511,174,700,937,483,878,577,693,508,
415,640,154,553,208,313,934,216,640,288,554,131,614,786,286,014,525,356,097,
553,356,931,005,900,557,168,967,194,037,584,388,593,856,799,419,277,701,696,
193,221,488,052,502,282,192,762,365,941,147,912,473,707,985,354,485,477,249,
650,728,437,315,063,941,792,876,091,647,288,641,184,891,610,969,339,916,704,
351,766,679,546,628,090,938,317,097,902,937,760,868,900,190,981,034,702,130,
667,057,754,141,486,696,712,604,389,915,926,987,940,719,791,745,032,080,680,
978,929,726,471,642,262,118,356,798,749,103,838,575,829,485,554,772,737,857,
270,707,307,787,609,609,565,680,235,556,147,385,684,394,298,632,716,516,673,
446,288,509,972,051,200,496,903,164,102,357,071,270,313,675,209,007,020,073,
316,822,617,371,799,529,556,511,696,704,591,441,991,386,976,629,838,799,425,
927,469,787,712,250,290,954,251,880,412,375,305,107,163,509,770,132,393,353,
234,869,405,962,630,901,577,085,965,718,819,843,654,533,733,951,774,715,367,
030,755,962,388,795,919,900,215,892,945,940,193,116,738,673,675,554,653,584,
440,349,754,766,664,464,172,209,766,427,463,277,813,994,527,001,169,912,403,
534,871,799,639,276,129,353,885,125,128,197,631,944,548,344,197,585,204,920,
821,227,305,303,169,232,152,384,441,414,860,689,011,170,894,378,455,407,997,
224,340,143,014,102,030,315,246,735,680,577,929,441,416,496,594,562,318,809,
360,716,990,649,190,734,897,445,502,078,316,835,283,563,469,741,667,353,150,
335,594,935,473,918,486,302,778,083,818,607,608,693,158,016,642,354,262,576,
719,336,266,052,935,038,878,904,840,302,796,355,158,808,743,534,995,867,980,
501,519,679,376,339,651,412,683,206,314,984,544,104,516,781,794,391,674,134,
199,412,544,315,506,369,108,248,242,094,637,950,965,340,319,245,751,188,589,
560,838,666,237,327,220,511,798,876,249,417,531,591,660,969,495,507,602,790,
980,724,634,933,466,803,420,114,480,007,436,988,461,575,302,232,492,686,488,
052,679,383,786,232,831,168,541,186,408,421,740,007,295,392,398,482,968,350,
843,161,945,084,351,151,835,403,779,489,811,386,826,107,073,824,010,994,704,
685,661,865,253,309,146,013,017,029,087,487,717,420,173,493,574,589,126,554,
392,082,973,137,682,210,466,819,807,969,794,522,424,785,682,496,013,131,272,
708,235,123,609,268,143,894,657,878,278,160,901,053,577,708,034,158,086,012,
080,521,580,190,630,221,832,521,420,499,859,511,934,919,772,096,950,514,245,
286,249,694,492,135,147,059,356,661,980,493,401,637,552,388,424,072,229,483,
174,910,880,620,406,449,487,196,144,108,966,946,269,323,580,004,775,598,843,
500,771,755,098,451,997,356,207,325,980,805,371,128,990,572,390,168,230,718,
454,244,025,328,520,148,016,840,362,127,702,884,990,218,263,571,891,409,171,
491,186,592,035,480,679,627,101,381,974,168,920,156,622,878,702,350,403,233,
184,006,899,589,573,057,938,981,976,748,215,897,031,410,333,647,719,981,438,
644,751,210,200,812,545,098,768,729,055,771,702,713,482,319,668,930,740,202,
498,720,886,982,007,837,977,246,538,909,450,360,662,067,109,363,499,805,789,
974,253,840,386,394,893,552,750,650,600,732,686,487,573,906,655,815,658,635,
113,603,817,477,647,779,079,361,430,821,018,139,151,277,520,095,492,573,135,
952,047,861,085,934,774,084,834,868,118,357,722,301,842,983,606,598,596,211,
764,516,418,056,492,987,017,221,603,272,583,462,450,434,792,803,675,777,232,
898,116,498,145,257,706,809,353,157,329,350,090,680,698,222,980,853,633,183,
272,444,366,973,053,993,217,705,760,336,253,745,588,036,108,316,717,968,826,
495,456,297,117,662,441,923,869,720,388,828,457,266,869,003,571,623,462,348,
000,477,960,241,441,304,269,224,958,116,608,154,608,844,649,719,568,496,639,
841,099,564,217,138,263,319,580,558,003,867,768,326,771,880,430,083,338,067,
695,524,101,797,806,275,761,936,368,461,088,389,303,979,908,657,900,081,746,
625,292,408,987,621,615,800,017,571,939,525,478,548,088,000,409,041,652,221,
592,282,517,440,329,695,456,934,575,234,189,737,438,425,055,844,998,330,441,
854,549,856,697,538,111,192,277,956,175,526,099,556,028,521,399,078,000,813,
244,907,056,225,881,982,695,068,947,675,149,191,157,420,104,544,904,014,113,
590,661,509,754,189,196,511,616,968,384,460,900,546,525,917,750,909,946,624,
583,317,439,122,894,772,735,634,496,947,809,132,849,559,917,079,313,240,652,
384,331,851,500,857,845,367,929,002,162,685,477,448,778,206,633,063,763,551,
935,807,672,658,774,039,063,958,723,509,105,345,089,596,683,605,293,412,721,
219,288,427,301,758,194,121,079,083,628,866,873,120,309,222,603,788,115,849,
177,868,806,156,849,275,772,790,813,469,990,619,969,113,258,500,070,593,510,
376,746,724,775,856,461,208,298,352,689,770,796,120,165,936,752,254,978,240,
022,349,414,331,662,836,862,455,256,201,067,844,749,178,569,206,105,933,473,
139,170,528,880,373,241,003,180,998,226,816,584,679,918,363,356,845,802,413,
561,612,247,914,329,932,287,011,868,141,824,033,513,416,634,260,921,245,576,
987,653,963,185,637,743,164,555,335,855,198,854,077,293,990,199,535,829,825,
123,004,172,610,427,948,365,722,018,168,841,642,205,465,257,065,197,884,924,
848,733,392,622,914,907,262,983,179,621,005,418,027,375,989,374,284,265,870,
017,043,866,131,503,266,368,507,596,596,227,757,262,792,069,328,268,692,659,
375,736,772,632,421,699,505,002,355,288,224,088,546,878,722,674,115,218,504,
035,348,433,156,680,533,070,990,714,362,652,994,124,709,971,431,748,153,159,
276,482,212,998,638,725,626,563,795,365,806,772,328,581,146,396,770,809,693,
050,999,073,212,468,705,737,366,600,728,183,677,205,910,971,923,137,212,806,
240,631,968,502,561,150,510,354,794,273,249,206,594,763,773,385,272,433,675,
413,646,262,566,493,455,796,846,094,802,287,789,231,467,168,989,377,893,460,
776,857,946,454,349,578,501,779,780,865,258,947,555,949,453,181,644,041,651,
605,878,732,013,410,237,430,165,978,360,496,893,466,693,541,863,442,627,817,
253,500,383,556,315,575,132,041,182,004,418,127,387,009,364,940,998,533,786,
612,639,526,376,927,493,721,577,100,012,896,051,573,372,511,153,949,222,536,
272,460,740,258,086,722,283,682,907,482,233,816,561,656,768,148,725,824,481,
977,886,739,238,679,484,757,200,812,724,981,083,982,623,903,496,570,434,506,
223,864,503,578,272,383,165,082,089,102,667,071,737,283,394,845,657,233,792,
613,216,561,840,090,362,296,185,529,689,812,844,054,111,590,334,936,882,555,
023,035,190,151,065,216,523,805,248,296,501,605,065,619,437,374,033,796,168,
672,740,936,938,366,928,999,111,518,680,012,077,510,541,810,193,626,513,450,
376,594,016,214,497,155,501,543,151,191,848,648,790,843,532,768,026,618,525,
038,250,255,077,439,760,206,358,659,613,604,686,030,892,385,891,652,883,112,
216,227,194,026,122,852,037,241,101,884,431,957,995,708,244,959,397,074,659,
640,406,882,531,064,666,768,311,931,043,356,224,390,353,212,057,296,920,856,
262,625,473,096,967,762,002,419,427,501,839,790,377,433,411,117,713,847,047,
042,752,466,387,369,264,747,377,876,562,585,826,619,198,310,323,380,140,219,
402,749,664,910,426,170,665,294,172,893,411,936,904,652,393,569,988,199,083,
953,388,830,901,870,201,664,176,521,898,933,003,537,433,805,339,764,117,838,
273,581,517,442,802,676,663,345,618,419,049,572,445,843,725,058,587,491,621,
384,811,536,344,246,002,342,889,838,554,581,274,659,003,893,498,624,600,343,
363,340,002,727,135,676,857,776,781,885,612,121,088,623,115,748,329,426,127,
357,545,684,719,137,825,754,703,030,195,727,327,550,165,116,243,894,938,761,
261,681,029,260,379,856,207,017,406,304,787,756,754,203,193,161,962,387,252,
414,097,847,662,788,288,778,583,458,825,082,215,527,012,693,945,707,468,301,
658,563,330,040,046,445,604,769,082,763,035,844,076,747,455,338,118,441,616,
597,309,539,802,778,135,607,308,352,491,064,989,932,674,441,936,481,397,170,
419,131,308,142,735,853,201,380,306,608,580,448,309,228,247,220,174,504,328,
319,673,137,542,960,192,495,622,447,667,832,293,560,290,223,846,130,477,974,
798,512,277,001,779,046,030,038,678,960,958,299,448,614,967,869,764,564,121,
269,864,264,281,076,436,462,482,898,287,881,505,234,634,417,344,264,301,014,
428,445,776,967,871,588,359,347,953,450,177,048,760,383,047,212,895,046,029,
968,862,309,060,643,470,550,516,157,608,678,337,896,917,439,296,588,942,125,
909,805,256,636,530,971,757,425,807,574,454,508,945,837,176,854,832,338,111,
537,050,780,516,053,908,294,572,259,007,140,920,020,504,535,068,710,036,925,
356,330,852,660,339,603,114,694,681,727,566,583,907,507,151,772,121,858,665,
361,052,298,263,294,626,774,648,854,970,520,468,315,828,722,243,896,642,414,
825,884,264,502,440,274,567,396,670,345,693,069,177,767,416,539,412,726,642,
521,329,337,856,759,510,748,321,474,922,714,489,763,562,641,222,177,237,215,
646,584,605,761,401,260,616,396,731,226,244,974,781,133,842,868,989,237,047,
530,847,335,803,331,903,826,485,788,565,945,490,363,068,462,721,847,782,531,
651,153,512,452,048,079,619,593,423,106,872,368,404,378,076,306,997,013,672,
293,777,267,456,589,638,902,408,491,009,112,414,955,640,218,898,150,872,896,
479,684,493,541,650,865,049,866,618,719,451,763,974,876,337,115,308,168,686,
982,982,295,944,291,910,376,386,134,146,663,099,444,445,512,620,584,270,281,
607,601,916,583,553,641,365,695,921,974,392,449,878,608,143,242,578,414,067,
132,599,523,726,014,151,540,240,468,034,211,315,420,847,706,615,944,561,824,
906,899,660,705,591,752,839,961,385,893,771,931,372,110,719,831,981,200,289,
456,435,924,530,242,976,423,282,856,353,159,304,552,198,998,114,936,934,751,
927,205,569,822,209,386,085,903,097,148,224,436,398,939,570,061,850,620,060,
407,421,727,046,149,152,429,270,481,589,626,430,105,122,206,192,253,871,575,
538,498,020,391,326,068,480,480,458,964,547,290,833,408,986,962,551,966,035,
859,418,331,357,958,175,641,306,059,765,401,266,987,021,741,770,946,427,711,
949,676,808,356,444,540,295,196,199,602,925,232,425,496,726,243,568,277,125,
413,840,148,451,995,066,678,134,189,593,426,805,433,243,519,828,110,447,324,
109,681,319,270,423,177,483,430,803,624,996,930,358,555,596,437,046,704,828,
490,834,607,910,459,512,812,660,712,430,532,616,474,886,543,485,909,545,716,
394,657,370,566,189,763,385,090,771,593,347,311,703,848,270,121,283,605,470,
091,978,864,368,651,289,067,254,364,062,895,958,541,388,713,429,435,347,194,
915,946,102,331,993,829,770,022,896,536,122,881,866,445,018,209,571,004,916,
518,057,493,907,163,176,273,110,677,710,483,281,398,720,751,595,096,164,791,
524,101,034,953,412,375,157,808,197,092,503,399,050,667,164,044,839,760,903,
276,252,004,104,126,310,706,996,473,289,700,994,616,264,791,757,961,137,747,
827,233,042,754,084,465,152,525,742,401,298,904,319,253,336,901,673,314,396,
630,717,145,486,863,651,524,860,949,509,445,890,549,711,596,977,208,601,890,
874,044,530,624,864,091,240,469,551,121,255,418,631,849,945,528,548,646,486,
827,333,622,319,118,342,528,056,960,744,064,009,511,592,701,260,821,739,539,
484,844,591,667,495,679,134,706,433,333,841,264,449,049,064,679,202,696,800,
180,411,918,370,721,343,333,882,172,598,391,159,639,245,889,264,419,706,061,
463,859,512,300,077,703,588,805,054,132,259,449,515,621,114,887,241,829,702,
069,738,759,141,893,473,625,981,753,338,318,930,975,033,144,890,025,730,610,
881,334,229,602,462,733,629,417,942,027,072,736,397,609,493,723,151,104,614,
928,331,293,380,013,082,881,172,091,682,725,543,927,909,889,295,443,873,847,
703,598,807,451,204,002,449,179,233,943,093,157,472,289,681,620,449,823,066,
462,127,641,196,112,652,318,671,252,774,234,194,964,841,331,380,669,203,650,
623,250,784,005,365,084,090,058,536,657,601,268,318,073,673,500,803,932,443,
637,731,884,063,562,826,078,379,059,182,455,419,530,317,734,800,041,381,180,
045,522,523,644,453,446,977,115,333,907,474,719,905,461,421,597,649,552,760,
663,524,434,027,409,946,489,078,024,653,052,340,571,893,190,950,426,340,588,
994,444,801,262,472,482,293,838,259,530,084,225,216,005,550,207,495,912,889,
103,957,571,774,503,947,116,590,213,397,195,554,958,451,905,099,567,270,634,
565,425,999,578,755,784,252,608,486,168,782,275,624,550,609,192,846,305,336,
932,685,687,824,141,078,973,602,216,489,996,990,416,481,004,708,088,714,524,
449,730,183,460,971,538,094,139,373,137,285,991,327,290,412,016,305,815,644,
574,065,980,942,838,825,278,101,110,967,594,385,932,596,595,809,549,836,530,
554,346,976,509,900,059,030,353,557,919,665,663,218,766,256,296,747,654,475,
195,390,748,463,206,262,330,640,742,867,314,924,439,416,695,198,711,085,313,
949,027,883,175,624,445,058,952,484,396,867,962,929,977,050,359,411,372,738,
682,390,853,162,526,552,923,629,221,801,135,266,944,305,320,291,476,068,171,
610,558,854,931,779,960,340,602,088,619,865,791,077,431,510,165,373,476,989,
810,206,759,929,415,163,134,045,391,111,767,565,378,591,139,092,253,829,939,
060,882,137,339,343,733,576,779,362,782,856,698,793,517,695,866,936,633,294,
120,812,247,693,505,027,029,618,872,792,944,583,000,490,800,691,349,376,937,
319,253,274,403,754,766,890,830,012,742,292,930,953,996,465,289,873,537,196,
510,829,193,797,167,042,916,748,110,930,832,286,125,102,939,023,820,747,288,
742,142,427,629,917,318,462,838,831,044,603,152,212,513,914,186,372,346,313,
491,651,051,471,676,680,009,623,044,337,426,623,160,583,841,780,908,902,313,
660,664,634,958,852,120,422,249,787,669,787,538,521,433,918,879,768,009,343,
185,191,931,163,865,214,435,067,411,013,990,057,698,583,354,423,635,582,953,
917,760,759,955,886,778,175,720,845,400,813,519,876,871,500,435,166,946,278,
169,583,085,813,593,716,773,384,692,129,467,473,904,379,068,493,461,904,146,
183,140,611,305,535,309,526,948,557,583,250,220,679,398,413,936,003,498,036,
541,889,088,078,903,057,020,280,950,791,983,715,777,021,939,777,206,453,443,
692,524,205,102,590,479,191,808,417,074,556,738,727,514,956,932,025,386,320,
347,446,506,073,243,053,056,082,990,643,970,620,552,194,122,800,269,176,208,
150,148,436,862,486,650,675,105,266,336,318,075,828,613,323,094,602,991,218,
817,128,151,334,075,359,174,741,223,067,778,106,226,208,286,428,622,053,362,
941,275,139,486,736,646,609,448,119,051,615,320,428,926,191,663,706,619,986,
180,205,986,630,701,331,395,478,304,324,539,540,843,154,631,335,556,447,831,
534,663,779,824,929,909,190,418,569,616,731,633,440,573,825,110,802,490,097,
780,227,771,220,466,977,104,881,543,982,584,662,229,950,709,583,797,354,753,
262,284,053,854,376,937,773,427,853,605,766,943,955,907,784,531,810,552,881,
287,572,320,979,388,610,092,888,601,651,649,896,903,022,163,481,717,532,007,
991,356,229,260,966,379,789,924,952,068,750,857,832,740,740,472,972,664,888,
834,479,689,077,241,360,348,323,487,709,932,860,167,762,108,540,303,874,735,
307,195,263,283,823,376,436,679,987,055,929,789,569,284,964,955,309,460,489,
659,179,600,434,285,693,267,080,078,739,276,892,226,905,693,010,864,495,828,
192,378,772,019,216,507,214,247,306,909,049,365,136,621,422,613,307,153,408,
975,596,602,487,767,719,051,071,511,031,551,732,294,726,709,544,877,929,707,
399,153,719,531,523,071,765,980,216,439,453,859,778,664,537,910,886,236,344,
775,783,704,422,752,711,176,346,364,593,899,518,070,717,014,139,903,538,093,
708,650,702,457,446,208,135,905,951,386,831,147,163,411,491,993,734,233,019,
481,705,873,291,250,744,538,839,806,793,244,432,122,672,448,191,101,019,564,
743,258,749,315,693,617,042,654,288,847,084,103,927,787,643,125,194,960,063,
661,388,073,215,142,378,111,034,150,039,053,024,181,370,789,865,874,729,025,
103,906,619,039,146,351,756,302,099,665,374,396,767,915,936,296,368,576,974,
530,085,602,779,056,602,298,199,677,500,923,383,573,778,996,750,042,698,789,
936,069,783,941,500,426,304,483,212,455,898,776,656,838,846,458,130,728,776,
012,136,239,219,996,444,564,171,338,648,674,953,302,404,171,176,144,450,018,
763,130,113,292,646,297,973,335,879,706,453,339,688,899,371,530,089,824,064,
521,209,896,175,548,343,937,586,830,350,032,991,479,854,675,571,227,199,381,
787,463,849,592,132,043,670,405,312,362,097,799,403,245,860,427,485,327,306,
145,143,759,121,794,266,088,572,672,038,112,874,613,478,509,212,039,159,658,
974,781,183,760,985,552,429,739,929,010,220,067,790,244,643,667,306,906,293,
260,500,762,576,906,846,683,484,188,044,641,154,117,047,026,862,176,112,174,
309,752,814,962,829,795,203,389,171,951,202,035,284,276,403,764,631,618,599,
837,455,098,502,869,967,710,244,535,800,351,653,679,805,654,026,253,183,890,
304,220,457,543,028,123,969,581,424,226,523,848,985,952,220,965,434,461,296,
324,180,184,607,792,555,260,840,776,343,964,304,726,639,308,378,488,330,409,
922,761,827,838,798,029,451,173,957,479,272,128,540,886,040,952,824,366,725,
677,241,826,049,449,791,916,961,038,966,176,646,334,143,898,071,362,944,710,
739,707,937,255,959,353,160,062,691,153,937,157,976,168,956,542,758,438,129,
766,286,618,920,761,047,449,688,645,589,285,776,241,231,846,725,350,722,038,
466,513,893,191,203,092,923,722,382,369,860,296,058,215,838,630,930,536,983,
026,955,002,708,931,617,379,817,848,212,722,734,482,144,765,556,692,126,289,
698,895,504,198,954,792,827,635,819,317,747,172,794,243,765,139,135,769,911,
958,070,811,541,704,149,153,739,557,578,432,993,063,940,443,689,136,371,158,
170,272,589,376,152,892,410,673,152,534,778,271,511,409,733,847,503,700,623,
644,541,789,080,595,537,648,133,369,020,617,528,767,696,705,180,232,506,389,
777,074,964,967,497,199,260,637,043,011,468,373,897,906,740,224,899,829,120,
183,223,555,253,194,155,516,093,225,904,738,254,783,113,363,610,854,171,631,
757,092,433,140,143,449,179,105,065,444,579,721,843,615,219,365,820,218,396,
734,237,512,980,896,710,589,468,700,071,714,736,563,838,368,632,727,203,232,
025,087,690,061,983,598,796,541,418,632,009,327,149,126,390,837,637,184,099,
484,227,055,013,683,226,163,132,643,239,553,334,523,798,839,104,745,700,935,
873,604,181,404,367,807,276,578,113,737,582,350,836,572,607,494,483,149,434,
171,690,394,470,697,643,881,910,099,612,473,686,852,591,494,228,908,291,044,
569,375,325,131,006,636,399,863,438,790,812,246,230,944,961,134,353,532,570,
824,951,273,016,994,750,410,036,373,532,521,091,132,207,700,444,900,130,774,
298,476,059,659,628,263,487,086,696,312,983,824,065,630,220,113,764,348,161,
322,449,408,182,754,170,374,487,044,623,382,981,217,411,216,409,552,321,364,
250,796,650,994,693,986,321,469,549,725,810,276,447,232,752,436,049,406,597,
595,310,720,412,033,525,720,512,074,585,897,826,097,264,577,886,851,702,373,
412,525,664,519,689,376,842,156,943,075,301,307,659,789,186,557,122,765,732,
617,245,400,991,782,149,861,491,283,193,349,745,650,360,270,964,268,732,087,
631,485,738,680,897,516,098,059,975,046,458,629,903,160,713,375,461,099,960,
328,562,634,009,303,078,252,534,706,513,520,460,084,965,582,820,477,891,255,
003,145,485,944,830,207,988,812,784,971,159,310,538,187,948,290,072,893,722,
428,082,631,822,345,758,803,390,044,844,270,798,061,561,664,222,235,696,575,
454,407,933,000,086,433,742,991,391,475,919,618,919,017,848,452,905,549,595,
658,068,827,340,640,628,106,384,108,642,148,099,395,654,123,369,905,354,276,
808,976,608,947,074,193,230,212,445,923,286,422,871,420,484,523,085,060,612,
095,836,428,045,604,201,652,631,325,638,267,365,979,874,965,634,892,434,331,
829,942,846,726,265,701,074,408,565,760,625,855,437,179,878,749,743,557,960,
922,532,970,543,871,183,192,708,232,760,750,497,785,595,735,633,404,493,063,
224,613,235,156,127,289,808,285,105,192,602,195,792,769,633,725,189,975,663,
957,599,245,920,092,834,654,163,551,874,915,664,327,342,807,058,240,465,344,
742,042,560,993,627,182,199,427,762,762,629,658,891,500,559,342,911,597,286,
293,256,852,227,995,940,024,076,250,364,665,996,970,251,613,869,376,539,389,
506,138,943,436,589,986,166,188,767,642,532,255,248,323,781,270,769,177,360,
593,534,847,726,279,660,400,140,252,721,237,314,281,673,432,076,704,995,735,
828,705,608,350,067,623,015,828,433,048,136,693,445,790,701,655,832,824,575,
943,769,188,450,938,116,077,862,924,408,902,253,597,319,150,106,870,554,977,
241,091,658,661,839,509,525,617,954,530,892,869,401,015,576,012,435,784,836,
177,125,212,277,578,828,249,955,866,987,752,239,014,364,643,940,567,340,094,
999,852,288,256,641,125,232,902,974,519,970,829,958,853,504,178,667,108,398,
776,531,261,239,578,368,137,494,845,721,763,698,944,197,793,499,580,803,193,
836,657,797,549,839,585,126,212,501,304,018,068,970,321,008,377,609,735,485,
296,521,857,572,166,504,285,799,220,241,110,559,002,237,626,917,478,913,127,
636,827,782,999,324,709,103,680,558,072,674,738,822,777,024,424,333,842,447,
105,800,002,120,162,189,356,163,663,328,822,861,882,434,801,796,576,322,422,
023,961,821,720,162,306,753,733,052,412,752,187,314,676,217,601,964,496,276,
457,035,414,581,273,582,127,465,516,097,595,368,592,202,343,531,115,419,336,
916,706,894,730,638,654,620,348,920,628,753,638,438,443,790,543,417,962,822,
316,182,966,448,020,646,991,132,124,052,780,151,854,757,271,554,161,309,541,
888,940,687,862,564,811,755,489,645,581,502,304,211,093,395,549,271,407,491,
092,532,256,217,776,565,921,826,414,641,330,703,369,928,840,600,772,879,755,
194,132,448,840,723,131,295,545,982,490,209,895,115,483,119,803,268,525,882,
023,427,269,933,957,873,551,631,950,741,491,196,979,782,668,921,771,681,399,
340,426,685,921,687,129,358,041,823,523,240,777,421,086,057,256,222,644,272,
452,723,609,476,692,898,689,855,344,918,511,710,411,455,970,632,421,675,031,
909,696,114,913,484,696,109,510,839,223,764,768,328,401,151,900,698,463,264,
457,435,996,864,756,401,003,420,899,893,963,958,163,641,046,362,578,992,418,
661,939,391,811,370,052,846,376,183,514,297,356,497,171,818,285,410,601,715,
118,360,846,388,837,199,507,933,877,804,733,108,730,728,370,849,290,787,237,
833,874,620,221,841,285,138,760,989,286,834,736,777,042,924,087,131,566,854,
852,942,505,357,337,474,687,150,767,441,107,028,857,348,979,419,441,981,515,
371,454,478,905,371,603,403,334,020,713,242,915,566,115,415,420,065,787,853,
222,122,774,952,472,970,691,494,637,764,991,207,091,176,520,395,927,309,547,
715,226,436,897,550,121,112,269,471,673,105,506,335,844,676,529,470,826,483,
752,694,147,203,494,936,429,264,901,711,016,778,436,369,269,307,358,136,079,
468,234,978,254,226,574,530,150,411,493,708,576,819,398,087,432,741,622,858,
906,486,602,145,807,644,619,709,749,810,172,682,490,378,198,467,809,283,768,
720,285,924,070,253,718,416,579,790,671,037,718,923,368,905,354,464,913,376,
170,270,241,952,038,115,070,304,697,337,659,122,901,971,410,788,764,076,272,
313,912,931,827,517,822,347,624,547,036,350,391,654,228,537,171,969,698,632,
856,387,085,689,708,703,660,472,781,141,840,537,852,307,649,456,322,724,198,
715,784,685,097,237,934,614,113,406,104,389,592,175,279,291,250,343,652,328,
482,923,442,990,392,755,448,963,489,919,787,535,875,694,286,285,862,703,009,
290,945,032,673,991,907,784,928,656,294,459,800,775,315,986,535,221,172,840,
796,015,772,523,188,732,594,676,884,050,939,063,581,699,675,224,272,472,264,
126,239,962,571,149,961,137,011,908,238,478,176,822,846,054,821,725,817,829,
901,654,537,688,310,512,335,010,480,339,820,322,759,184,520,843,495,322,947,
314,561,546,304,843,809,054,762,648,360,163,673,893,276,448,756,831,295,083,
875,020,104,070,186,199,395,526,135,136,547,601,989,054,615,159,815,299,025,
045,279,161,847,938,565,826,984,984,488,504,983,750,159,842,662,718,660,437,
219,532,990,049,379,371,584,567,451,705,149,285,965,391,921,775,245,504,262,
204,145,024,806,273,152,484,307,126,720,088,818,917,913,118,335,563,458,279,
301,495,375,664,055,498,144,212,810,435,891,654,699,082,644,047,834,069,907,
548,197,306,280,324,263,647,150,017,906,999,329,339,245,203,234,476,308,641,
460,407,132,622,531,905,129,652,654,477,599,337,053,684,614,854,959,347,626,
381,088,798,800,658,264,743,788,616,976,069,646,709,608,411,097,035,694,025,
035,419,351,054,046,032,837,061,325,940,099,505,392,212,590,153,985,926,018,
876,888,163,759,896,921,990,391,254,327,797,220,286,385,886,535,845,795,266,
958,313,537,693,773,975,231,942,242,901,041,002,229,081,566,649,687,868,505,
830,818,545,763,892,554,543,503,598,545,048,946,224,705,443,926,365,801,391,
394,455,057,707,969,014,295,540,634,284,928,138,615,735,722,354,572,217,116,
359,478,819,160,749,735,211,109,311,121,589,848,281,291,228,400,837,185,263,
797,250,991,479,089,856,870,031,785,789,394,934,348,780,898,424,502,446,371,
934,069,163,238,144,933,594,916,520,799,817,857,103,012,409,692,833,887,123,
419,048,630,829,048,037,018,968,348,224,256,024,532,190,558,594,213,025,448,
194,798,181,903,121,156,264,294,998,699,175,160,786,073,927,956,453,944,818,
006,753,571,803,068,312,471,733,430,016,521,784,738,932,575,744,450,727,565,
735,079,274,049,729,811,599,697,998,529,315,443,867,980,133,155,049,087,541,
911,374,257,678,456,800,461,626,894,753,860,370,484,990,753,115,060,534,506,
184,349,162,481,440,587,717,195,909,440,782,383,924,257,540,379,410,910,667,
121,348,964,014,801,212,219,543,678,086,394,166,636,451,809,557,533,114,722,
140,506,090,624,164,438,326,990,783,460,330,174,658,423,317,703,361,593,385,
143,399,718,514,637,680,010,200,892,056,964,525,435,363,219,544,193,966,847,
023,479,509,341,033,359,704,337,921,015,908,047,346,521,802,713,384,129,338,
811,578,189,978,055,956,830,358,484,480,945,571,906,259,709,724,239,305,754,
952,346,393,501,287,791,008,919,556,179,215,093,609,349,261,702,530,968,801,
509,833,109,467,363,418,380,032,973,424,586,824,079,755,109,598,862,989,447,
132,085,607,346,956,710,390,545,307,430,033,945,540,383,073,559,433,373,686,
771,309,311,570,383,542,631,978,018,293,696,683,810,648,805,219,644,121,194,
750,605,034,128,896,047,068,532,486,758,739,479,911,656,329,882,059,749,007,
564,696,323,454,871,508,570,619,821,271,570,146,803,296,633,948,323,653,581,
787,955,728,118,381,051,729,003,693,759,683,101,309,743,392,798,820,658,699,
916,296,290,697,066,872,072,991,346,040,240,220,964,953,009,417,460,136,173,
732,354,655,425,789,959,949,087,093,207,644,924,427,773,335,943,806,142,209,
956,004,694,882,265,419,449,201,150,948,730,248,967,320,718,343,574,850,457,
252,613,735,147,093,593,205,186,498,500,996,587,793,038,451,783,781,066,782,
299,742,644,166,546,794,092,626,172,422,775,644,265,256,759,394,300,411,847,
964,160,427,219,572,366,039,055,735,732,334,454,399,303,687,051,774,184,575,
721,733,241,734,654,083,882,150,341,963,572,119,589,148,983,484,528,026,208,
187,784,429,708,272,469,831,031,050,709,914,019,986,547,864,446,077,513,641,
792,582,860,273,170,491,270,775,588,731,659,964,905,972,860,827,531,540,074,
262,161,834,425,018,822,559,205,287,190,189,096,957,239,238,705,532,663,423,
367,878,308,064,356,846,782,913,252,467,877,351,500,354,498,521,030,283,677,
729,013,290,613,809,167,566,388,494,865,164,391,156,751,218,839,376,740,759,
162,930,240,414,488,356,617,835,292,183,820,842,074,536,837,615,332,025,545,
629,906,575,374,761,111,610,466,090,566,368,517,067,896,976,101,514,482,604,
486,155,682,305,261,017,819,427,611,287,897,891,002,400,369,317,889,384,242,
309,304,798,738,239,565,764,817,554,838,634,822,782,669,877,349,287,267,739,
588,458,843,444,033,220,042,795,785,846,911,902,676,768,148,438,512,739,410,
035,834,706,315,575,723,648,076,806,188,547,376,688,675,721,015,195,207,073,
500,972,817,796,434,908,271,527,384,449,950,828,533,345,183,643,714,742,819,
274,877,960,518,281,705,258,057,867,577,638,924,443,803,008,623,418,268,543,
479,732,188,222,291,719,475,901,683,680,871,246,303,433,633,042,366,408,206,
598,758,874,625,394,729,548,869,077,533,387,946,268,301,994,828,301,558,491,
474,751,204,323,611,025,366,085,471,612,500,706,135,343,449,481,507,908,418,
924,838,510,406,531,719,674,459,586,372,326,740,763,693,390,969,535,460,652,
656,209,752,939,123,569,785,225,032,309,831,909,860,053,067,545,762,945,197,
871,133,194,240,222,307,389,146,203,687,418,070,122,511,467,284,389,746,882,
679,538,533,125,716,312,808,704,299,838,992,631,407,790,061,851,842,331,841,
689,265,151,802,665,204,513,422,682,076,300,561,505,583,013,984,984,316,396,
566,125,728,525,913,551,634,304,819,990,383,917,442,954,821,610,872,353,248,
255,625,293,741,688,620,623,347,723,679,093,824,303,610,461,241,166,109,877,
748,116,282,946,281,251,024,006,295,907,549,549,957,129,734,141,971,413,937,
141,787,618,858,129,782,021,446,231,854,929,192,206,059,636,861,062,944,888,
839,429,676,208,226,835,334,154,524,220,534,637,461,577,297,812,970,789,279,
230,106,113,916,647,058,772,717,176,022,921,354,178,744,542,107,286,274,607,
118,968,038,377,862,541,692,216,182,984,616,224,412,153,931,155,983,417,356,
961,560,038,689,938,128,432,216,321,056,344,173,294,775,506,461,512,763,943,
063,747,260,530,732,387,332,749,903,375,946,165,810,335,714,119,849,932,335,
861,365,927,128,005,070,502,484,071,494,709,720,801,680,072,646,513,910,948,
910,140,718,498,436,034,761,263,282,598,617,794,801,618,085,855,162,288,449,
339,168,004,886,821,285,404,113,704,320,171,413,782,570,641,647,518,356,563,
753,824,307,845,536,654,952,780,435,407,969,599,685,853,054,562,267,255,388,
423,146,319,081,482,386,802,526,479,926,176,557,400,080,712,028,497,672,875,
316,307,366,478,688,939,326,080,857,666,933,028,435,273,064,563,185,666,546,
163,565,968,738,983,335,466,109,058,896,261,037,243,408,193,931,733,157,894,
547,146,366,865,394,651,644,152,402,558,432,657,742,076,897,585,831,876,973,
991,238,934,564,384,200,165,833,538,138,338,967,776,093,773,692,323,168,009,
547,461,678,220,732,768,145,103,094,564,448,636,390,839,610,896,802,177,620,
439,430,634,687,369,840,491,659,966,887,590,031,665,010,277,680,624,768,819,
927,681,168,510,962,295,706,980,884,470,393,310,852,942,871,293,296,327,244,
980,428,143,205,845,663,891,037,043,096,239,432,484,948,174,250,595,602,598,
271,791,982,426,867,625,770,724,499,657,194,976,159,435,074,464,587,297,301,
318,896,416,386,722,240,305,678,035,392,706,371,801,653,193,930,805,617,113,
842,051,342,313,492,773,128,524,106,286,806,462,758,597,041,615,093,419,166,
646,461,540,329,913,809,391,500,141,257,985,879,180,181,817,290,533,880,736,
894,346,014,886,335,033,488,702,127,775,531,078,628,091,894,482,211,277,778,
001,463,780,460,098,410,184,796,202,882,260,080,387,352,960,555,008,642,266,
375,162,591,208,941,272,634,452,450,061,469,862,316,043,298,621,191,076,546,
553,520,101,146,789,579,567,773,278,961,985,506,024,566,058,096,756,086,200,
055,040,519,571,796,456,376,449,675,816,627,176,373,422,869,622,145,182,538,
258,053,248,175,167,374,608,524,506,424,866,079,533,089,530,829,224,951,005,
846,279,685,725,304,428,252,600,945,714,106,794,673,955,199,504,749,832,177,
614,293,585,092,791,872,692,855,543,087,359,412,313,098,927,859,913,049,288,
959,180,762,444,489,734,171,492,116,729,879,076,857,100,925,336,741,401,668,
980,990,231,058,339,764,897,607,411,109,597,108,279,573,322,755,038,128,440,
734,660,175,659,811,714,332,809,192,456,666,839,116,792,628,080,066,215,702,
531,015,338,742,887,996,042,106,481,567,619,072,568,358,789,074,962,334,732,
498,973,990,724,465,038,676,756,388,554,152,549,342,448,950,119,507,820,620,
599,225,567,853,381,925,990,372,713,268,506,059,481,130,501,973,330,502,485,
322,368,289,749,650,607,064,330,830,058,176,530,806,729,590,270,162,046,233,
210,891,555,417,589,713,375,849,245,463,580,918,906,788,303,172,401,559,861,
421,527,920,104,749,145,478,086,567,463,672,289,546,505,698,734,303,763,556,
240,402,065,059,966,651,796,379,130,898,208,235,958,821,259,837,456,765,722,
851,753,123,055,602,376,948,068,677,387,476,145,260,267,490,933,457,698,340,
312,525,147,786,164,324,522,803,690,777,781,343,334,601,702,828,921,702,033,
453,338,074,753,254,285,814,652,950,431,841,685,889,400,748,806,180,696,837,
666,406,956,401,293,500,238,116,810,787,109,062,571,555,598,477,216,140,052,
588,093,730,666,795,938,392,119,901,909,297,777,231,712,827,177,541,154,528,
521,617,182,314,862,516,174,198,524,898,491,454,099,663,909,997,437,761,614,
120,624,520,325,740,339,307,360,350,969,572,716,557,648,375,331,434,818,238,
425,030,666,693,118,223,080,206,854,350,193,168,220,992,618,126,742,463,592,
187,198,613,470,255,451,572,709,395,560,945,799,398,228,959,591,737,872,510,
344,981,276,209,561,378,242,205,004,940,521,732,552,885,152,469,577,148,236,
620,521,160,909,281,324,773,687,196,732,281,128,094,886,340,529,038,177,385,
160,073,256,857,733,602,098,478,294,063,967,147,011,845,029,925,911,244,336,
730,885,669,729,612,422,433,842,220,934,940,458,513,352,322,058,023,023,505,
532,385,085,925,177,913,973,757,208,473,522,992,924,242,152,949,018,685,048,
279,848,119,954,181,519,139,151,055,425,806,816,751,089,869,669,547,198,665,
638,938,465,241,886,773,054,159,099,395,709,323,122,485,055,063,247,858,805,
069,695,060,307,686,519,270,216,791,199,242,906,692,055,750,956,279,816,997,
504,269,963,530,900,751,045,628,520,370,717,938,917,215,937,757,308,595,638,
969,717,873,553,231,046,694,933,538,445,534,269,211,076,356,310,170,218,134,
965,872,990,055,613,599,844,362,722,431,444,323,256,393,319,607,324,088,176,
827,958,945,928,521,543,076,307,729,234,331,977,421,410,998,568,554,102,772,
912,823,189,772,185,870,521,085,706,426,796,303,412,596,457,362,023,521,257,
733,885,608,089,894,645,153,700,319,443,539,701,227,455,895,872,788,386,667,
311,404,931,684,635,823,144,443,809,867,331,090,294,914,788,146,818,842,851,
771,527,109,594,919,497,748,118,397,020,610,330,116,894,550,521,177,604,949,
286,705,369,483,564,304,235,370,321,764,184,404,344,120,020,100,009,753,027,
382,697,799,957,594,980,960,407,630,204,794,651,559,611,937,244,092,259,870,
135,191,672,397,922,128,290,950,064,029,336,926,048,679,966,101,216,129,301,
399,776,010,136,651,514,060,615,428,091,527,839,425,730,401,111,833,003,109,
146,750,340,651,957,583,985,140,678,025,566,370,009,360,159,215,063,826,625,
323,872,156,727,273,066,236,565,321,730,516,709,056,341,462,087,623,465,694,
257,673,747,592,490,839,329,157,938,497,904,429,943,633,515,335,651,054,991,
067,419,719,958,759,655,366,537,217,476,096,499,553,509,403,358,427,823,346,
184,601,898,240,700,445,319,105,156,708,854,630,378,166,259,896,965,875,236,
765,025,301,541,587,333,788,226,217,650,094,317,294,815,930,585,932,250,692,
113,619,180,497,516,074,182,282,070,359,330,207,174,686,823,897,723,734,959,
441,632,437,166,176,601,755,756,889,359,590,948,145,016,038,204,538,553,884,
102,796,993,706,765,071,591,370,619,936,956,282,727,688,039,668,653,915,355,
866,717,955,967,869,766,857,699,521,758,525,217,691,798,756,653,525,685,724,
586,967,889,893,935,504,181,826,992,802,491,404,062,314,366,440,547,975,983,
769,364,281,312,028,441,718,703,929,980,631,121,346,580,092,863,989,320,457,
899,557,080,606,177,360,300,433,834,587,643,924,058,739,661,186,332,399,410,
082,321,914,001,577,098,089,048,593,832,670,253,052,407,789,168,127,435,024,
885,219,829,341,712,553,887,740,009,370,963,327,596,917,119,436,905,781,330,
532,072,721,731,662,687,387,651,442,656,736,550,083,693,924,683,431,788,048,
847,569,988,915,290,702,131,503,989,337,383,103,882,813,825,322,371,377,914,
886,879,126,856,741,987,097,856,682,546,603,715,656,909,674,575,926,514,390,
804,480,342,872,255,039,951,645,133,529,569,580,403,458,609,476,277,394,460,
525,238,104,736,833,140,018,514,624,496,687,484,913,713,623,111,126,729,251,
771,746,602,190,295,766,359,024,408,562,201,492,648,255,887,427,835,015,982,
977,571,459,393,419,093,602,932,919,097,552,876,253,499,979,333,210,718,416,
064,708,571,325,682,090,495,935,524,766,841,274,160,863,515,665,051,930,402,
479,298,261,387,082,898,926,321,755,906,670,089,539,808,771,599,671,824,332,
146,696,397,473,215,006,657,822,378,156,781,596,450,256,316,528,455,635,951,
245,120,974,024,847,722,095,391,185,264,933,338,883,924,057,181,951,757,915,
901,214,194,630,606,406,595,051,090,057,396,931,518,657,610,501,637,961,693,
096,369,423,714,917,981,922,579,665,221,390,293,634,559,160,660,681,237,269,
451,129,917,964,078,960,427,317,188,798,820,244,146,961,495,356,880,482,312,
534,315,334,864,951,122,826,284,135,112,818,231,637,103,871,367,403,423,668,
374,423,251,815,208,086,688,068,653,758,247,184,311,936,151,943,376,620,485,
682,003,736,523,492,503,123,831,970,753,187,626,735,810,113,728,259,891,001,
633,729,017,575,776,175,526,367,493,955,553,680,998,459,346,717,357,555,676,
325,422,736,665,052,600,922,293,789,092,088,422,841,289,932,825,192,210,221,
163,952,403,752,933,899,311,413,771,937,155,239,829,938,701,573,761,274,053,
201,360,492,740,956,730,699,790,035,148,248,333,265,067,530,455,627,353,146,
432,493,497,116,592,597,835,058,315,816,172,050,050,258,263,068,499,052,369,
244,715,348,048,327,784,802,679,417,221,638,136,320,985,320,467,206,342,943,
314,059,025,350,450,080,088,981,143,544,377,982,427,249,298,819,617,466,507,
031,520,003,343,725,895,158,904,199,587,403,395,477,058,526,801,291,023,474,
000,750,612,844,061,823,151,634,995,820,704,917,815,537,229,715,488,917,467,
582,763,281,498,023,962,104,871,514,639,709,588,006,566,916,141,035,032,751,
052,698,141,767,417,622,778,336,566,693,106,467,102,219,809,485,553,827,907,
099,443,241,609,630,490,505,995,330,560,227,930,143,103,465,497,377,398,280,
793,985,659,771,450,359,628,159,593,439,839,576,162,033,899,736,412,668,955,
842,484,818,038,077,623,016,728,547,921,069,100,032,318,002,332,750,393,675,
386,918,002,260,216,886,237,131,774,300,822,373,129,926,589,307,712,346,159,
379,082,670,854,010,136,540,677,201,924,989,257,270,037,045,383,933,842,052,
227,995,178,870,644,289,695,484,752,615,811,118,932,931,198,141,710,433,220,
871,770,007,378,588,692,290,062,305,656,373,234,542,867,076,577,862,372,073,
409,478,994,446,493,313,760,459,717,294,299,230,064,530,533,448,337,326,579,
632,103,122,804,200,460,072,348,955,164,617,129,166,376,472,510,012,036,802,
314,803,054,710,061,874,437,922,318,577,310,372,272,210,265,614,409,251,315,
166,050,327,795,968,851,174,941,222,043,747,060,971,270,186,750,000,216,141,
644,689,335,791,793,101,962,648,287,653,477,405,221,116,259,216,900,510,111,
096,247,060,477,105,188,161,950,864,071,844,089,380,007,668,805,577,507,522,
990,831,327,309,878,182,275,876,508,111,538,232,183,338,211,796,579,175,372,
881,971,065,218,535,814,017,538,370,498,403,726,552,051,221,295,220,700,804,
808,973,765,936,840,259,084,063,578,303,663,646,733,653,157,203,203,768,669,
612,977,714,686,165,274,118,365,488,913,586,164,452,389,416,433,981,732,284,
058,097,011,453,991,131,399,811,581,909,342,664,665,950,538,719,213,301,977,
840,693,053,286,346,306,096,405,598,591,012,184,846,130,924,599,848,063,443,
959,648,104,092,607,419,314,084,407,988,310,753,096,453,645,274,286,722,774,
899,009,997,518,401,032,104,544,234,735,180,242,154,683,176,496,465,406,186,
783,785,148,197,201,965,381,358,691,412,481,016,692,561,017,914,542,324,566,
508,903,215,536,217,408,230,325,832,633,184,569,075,801,974,865,564,111,989,
994,983,884,576,360,999,060,725,688,546,219,351,496,302,900,052,369,388,669,
750,477,032,828,315,352,381,603,551,599,815,145,694,357,151,601,519,295,586,
765,476,254,296,897,592,329,436,625,198,134,608,185,691,832,325,110,592,811,
908,609,753,632,406,190,370,514,951,139,539,532,604,076,015,149,777,848,483,
135,346,403,986,050,201,622,188,829,908,634,119,146,092,228,990,331,769,508,
477,756,801,758,843,188,053,332,402,704,089,989,846,182,372,877,900,227,097,
368,960,809,578,602,890,264,693,732,391,993,284,130,127,416,768,426,028,300,
431,391,873,405,243,416,707,329,150,533,890,927,000,537,696,592,258,151,877,
332,748,774,029,349,461,245,272,908,537,152,942,318,281,831,461,386,866,901,
228,738,192,595,100,267,305,904,477,381,310,655,690,330,484,962,576,210,840,
756,206,392,324,163,843,364,615,517,357,121,118,544,932,737,311,690,997,516,
651,619,954,823,903,209,534,661,362,601,049,743,956,924,064,785,257,569,999,
675,351,231,497,918,900,668,810,142,362,842,653,498,892,225,888,753,233,932,
232,500,197,059,532,009,629,668,768,098,988,434,125,715,828,103,703,495,939,
369,867,195,942,954,110,546,860,525,839,522,697,194,245,177,305,699,295,482,
210,152,580,294,240,439,053,802,590,580,056,428,375,813,706,787,575,464,252,
094,492,683,408,843,058,790,566,527,230,078,702,612,517,006,448,854,012,303,
844,694,073,806,589,060,151,574,863,954,815,063,325,541,091,516,302,624,305,
193,706,619,675,533,562,401,586,071,113,500,672,583,158,794,211,668,312,519,
525,054,397,583,948,407,465,900,486,133,381,014,957,640,208,514,011,983,468,
501,948,144,731,160,174,719,754,107,605,460,344,121,333,689,824,134,172,244,
053,437,136,449,109,047,917,005,567,809,666,160,840,658,287,290,051,846,298,
616,581,761,522,446,378,021,694,366,351,766,675,298,532,781,725,904,393,969,
795,984,938,759,362,831,158,126,587,229,828,193,049,779,414,495,809,591,711,
208,713,656,118,011,342,848,595,839,360,946,175,750,814,912,970,344,968,838,
281,588,267,655,680,183,871,137,535,935,744,354,811,733,919,102,493,577,327,
483,126,638,986,140,183,633,975,895,532,841,071,821,301,635,830,999,545,405,
564,882,166,534,814,202,380,802,281,853,371,887,342,754,288,990,714,911,128,
293,468,084,264,765,747,593,432,845,973,424,569,396,289,322,061,921,200,624,
207,461,782,019,006,101,833,574,306,051,367,017,495,596,575,990,388,907,157,
247,594,901,356,327,696,723,737,809,674,260,371,401,634,709,618,233,425,566,
339,652,614,802,627,554,779,143,687,452,896,479,647,755,665,589,118,625,765,
309,485,857,470,376,922,730,144,879,771,462,515,578,772,631,055,917,252,163,
708,429,277,772,639,276,403,810,000,733,890,378,439,496,313,922,709,816,767,
045,144,520,749,282,428,327,169,255,117,025,701,621,398,244,057,252,893,632,
523,794,115,544,978,165,322,921,557,853,965,598,368,846,833,931,534,714,949,
626,387,872,028,436,476,648,252,267,867,984,585,564,714,316,928,402,547,723,
121,837,690,578,089,217,360,981,387,303,851,267,226,455,712,106,736,129,084,
820,004,964,403,179,753,477,353,502,391,646,444,196,235,981,425,965,371,519,
369,332,605,947,976,882,166,273,738,496,252,995,093,507,607,573,861,723,359,
283,469,252,650,657,707,469,085,203,582,839,148,848,725,802,794,350,304,623,
112,906,294,296,875,464,104,623,217,411,003,365,374,226,975,374,976,859,293,
129,476,593,569,188,395,133,266,840,803,007,422,715,593,671,468,532,768,820,
468,524,575,370,094,603,580,648,617,956,223,817,214,328,788,768,726,103,042,
745,287,932,007,976,108,691,403,928,064,930,096,397,283,106,994,220,707,864,
053,459,912,957,443,097,347,599,282,655,714,213,602,660,559,214,426,480,455,
843,411,269,055,275,105,983,102,024,368,214,080,945,160,495,639,547,227,099,
171,986,077,567,379,891,627,715,797,263,567,742,175,342,431,651,261,968,778,
610,239,016,058,435,766,669,427,726,617,215,281,434,781,926,453,222,845,932,
969,864,697,054,547,270,266,425,955,674,622,049,959,457,654,969,523,812,835,
305,201,995,234,770,446,977,578,352,345,872,283,023,995,954,277,090,972,537,
441,644,967,874,316,066,656,641,645,479,165,059,702,166,854,047,703,901,961,
357,760,660,826,572,003,600,288,768,397,934,472,274,944,999,527,183,204,218,
848,579,198,935,864,262,633,083,037,301,690,015,219,306,084,792,628,036,166,
360,753,057,048,499,222,495,551,674,244,084,842,178,139,842,007,226,740,124,
613,713,365,469,912,717,068,043,723,690,333,212,436,019,663,673,813,120,321,
818,659,844,810,691,491,121,541,675,765,814,270,152,559,304,427,824,725,352,
680,855,948,131,280,637,320,368,563,700,463,128,766,825,263,843,763,453,477,
925,466,613,198,733,294,166,571,712,032,874,753,368,176,203,222,597,755,809,
875,572,193,235,634,929,599,604,196,148,604,585,167,414,910,518,317,147,483,
022,686,784,953,186,015,477,687,374,299,520,225,591,953,408,703,657,132,179,
884,135,467,036,231,120,871,218,123,262,466,257,831,652,922,843,747,128,641,
849,281,388,739,674,629,240,200,878,647,478,831,006,185,559,599,351,864,166,
576,306,965,746,197,423,308,219,526,693,023,955,558,146,565,723,280,118,142,
380,391,747,619,256,677,313,018,034,730,090,287,659,027,844,365,612,365,209,
645,033,277,838,691,766,750,988,541,548,669,177,644,244,641,564,170,820,458,
780,774,619,212,320,521,658,198,187,804,170,991,296,022,018,027,224,715,108,
366,045,713,428,857,368,486,589,805,500,540,423,664,568,044,591,377,883,916,
694,677,204,522,929,298,061,859,426,016,758,451,213,233,992,837,446,679,403,
247,001,155,128,745,735,896,380,001,161,195,038,946,650,153,492,382,754,385,
197,202,192,932,914,907,812,841,959,429,825,669,042,506,689,925,659,575,133,
710,642,701,046,737,121,946,007,301,388,188,956,627,327,618,363,304,656,343,
914,304,458,198,101,148,472,296,530,249,020,859,095,920,192,203,358,612,706,
902,660,166,191,479,012,327,468,742,153,674,898,526,237,449,392,870,505,953,
921,073,505,714,993,838,817,695,697,969,956,642,977,855,160,476,411,323,801,
860,539,384,313,667,580,826,312,807,268,504,085,274,748,586,211,833,213,143,
292,862,699,156,645,905,379,880,461,324,360,286,222,162,576,402,050,174,852,
505,508,713,120,697,138,754,886,757,994,726,954,707,161,366,147,020,774,557,
469,285,298,190,305,807,492,666,380,548,204,672,464,681,997,666,509,300,320,
582,628,432,112,213,184,109,856,264,755,503,089,063,092,675,480,315,913,121,
437,461,775,136,787,831,970,593,494,500,113,880,446,520,623,709,400,645,704,
368,780,175,850,405,563,908,190,686,467,423,958,668,001,808,389,066,779,391,
638,640,923,232,450,690,985,568,537,022,411,036,109,001,760,279,700,105,462,
664,322,514,980,015,751,611,041,346,241,982,928,176,525,692,939,707,680,589,
924,267,516,189,554,959,666,662,328,243,168,013,365,733,092,426,071,760,028,
102,094,662,368,592,941,705,176,528,361,917,830,174,804,538,943,228,181,044,
052,039,548,457,318,773,809,436,834,445,664,375,283,431,542,541,889,063,522,
973,233,574,067,420,153,339,743,962,870,874,480,052,598,121,131,960,817,607,
104,389,550,094,847,164,880,506,609,517,626,061,974,291,398,355,166,194,872,
738,017,562,892,602,344,409,427,942,104,248,394,452,567,522,521,727,028,535,
837,279,885,911,732,088,013,476,877,956,252,321,891,357,997,218,077,459,859,
892,413,445,668,175,652,566,389,784,201,260,519,641,280,282,958,509,649,193,
178,280,745,304,525,162,441,245,214,296,685,053,698,743,608,541,061,295,303,
089,007,732,340,101,239,792,468,391,725,932,213,222,865,517,293,805,184,486,
721,035,401,072,219,052,478,193,213,572,531,409,421,748,586,096,521,306,848,
833,725,965,702,446,369,261,172,595,869,663,087,383,023,738,306,185,222,623,
278,317,958,587,664,715,428,181,037,569,825,314,396,610,730,253,260,245,008,
047,737,682,480,237,436,803,556,096,436,279,281,620,165,207,408,664,209,108,
192,648,862,932,722,735,599,296,677,317,514,257,939,060,804,295,166,485,376,
325,071,888,942,057,787,438,607,920,089,826,403,428,196,796,565,512,879,778,
864,920,562,666,858,587,481,172,214,204,520,793,597,589,688,792,060,232,140,
791,645,230,292,494,612,377,956,803,031,770,780,214,228,899,018,174,893,706,
895,701,928,951,036,735,607,128,464,136,161,197,760,884,042,477,016,496,947,
483,977,987,213,287,986,267,567,715,202,731,734,554,508,795,265,999,189,345,
861,856,627,986,143,150,508,083,713,918,479,180,304,181,699,152,354,416,763,
806,471,525,047,212,094,177,940,615,838,340,704,437,633,224,771,025,392,261,
311,239,668,472,153,855,024,826,228,435,817,112,691,867,756,515,133,450,169,
220,026,847,030,985,510,284,594,519,849,477,019,749,159,560,601,932,028,586,
561,159,428,462,227,810,695,676,851,233,132,663,057,322,761,263,614,667,077,
546,181,466,657,221,972,120,360,516,448,079,853,268,465,173,119,360,263,067,
682,793,635,119,624,362,544,060,013,026,875,452,420,410,844,000,086,041,166,
449,608,068,992,761,623,335,709,853,517,114,160,199,320,467,963,780,360,958,
277,109,365,988,857,498,700,077,467,000,097,249,032,884,110,961,588,755,234,
391,568,031,590,814,654,246,233,778,173,783,107,991,670,072,501,151,241,262,
816,999,233,564,532,595,140,248,402,516,004,890,377,367,945,966,357,253,508,
323,336,624,160,915,351,815,646,707,098,169,717,382,653,035,132,406,811,386,
679,100,634,969,133,287,327,319,408,573,178,513,181,136,906,980,621,393,450,
287,785,242,691,741,668,600,099,160,813,047,441,171,869,162,482,899,029,706,
251,751,807,931,418,765,929,039,171,014,664,998,404,798,856,049,450,085,680,
539,277,865,980,377,711,545,659,217,372,099,749,698,173,994,032,091,563,037,
370,183,765,471,311,598,553,834,714,014,715,446,229,290,260,478,437,485,308,
471,535,788,635,646,015,848,432,613,248,313,922,922,443,817,462,535,975,128,
595,114,146,885,399,903,792,659,248,421,767,571,840,486,863,226,202,320,169,
769,913,998,062,936,572,122,865,109,346,177,202,367,421,750,355,565,972,078,
412,380,358,133,138,528,009,195,604,705,430,890,086,083,880,802,514,482,979,
712,916,420,976,566,935,818,515,789,584,212,085,699,864,002,579,138,098,815,
157,775,878,259,538,697,232,942,053,990,606,247,097,175,553,839,636,908,110,
673,708,105,845,625,416,741,808,951,334,091,991,193,172,421,891,517,280,351,
123,535,087,997,812,658,957,452,823,376,443,178,303,114,040,810,639,183,249,
138,305,289,850,729,366,329,338,765,605,385,381,940,480,966,499,845,982,979,
958,446,418,175,136,950,146,940,373,633,285,697,482,942,112,036,099,534,897,
320,563,034,086,751,944,770,426,023,301,524,603,060,974,571,447,704,690,949,
060,812,744,534,329,915,181,995,075,899,598,606,497,950,583,985,796,467,790,
580,810,245,880,254,155,798,633,031,752,587,767,349,019,660,744,239,906,910,
065,549,644,569,594,427,591,940,863,686,059,762,209,735,990,356,239,717,101,
062,650,249,839,359,440,306,978,579,361,148,591,723,635,847,096,980,961,461,
840,623,859,073,420,020,194,582,485,160,858,229,297,834,478,981,552,932,607,
143,814,669,171,292,431,322,271,749,315,369,602,917,301,167,620,706,059,562,
304,178,003,040,425,539,677,945,095,971,522,764,634,211,261,025,452,939,218,
854,102,057,150,504,099,775,231,212,495,546,895,555,743,185,271,468,381,707,
694,420,980,947,784,997,578,751,043,847,437,075,047,483,069,637,881,521,915,
748,717,282,866,907,734,752,041,413,426,053,917,584,567,823,693,472,858,257,
879,460,676,838,549,928,587,345,211,298,159,490,808,226,294,224,584,573,242,
310,324,479,471,806,669,717,723,218,883,111,673,224,482,569,024,879,304,198,
502,562,848,680,228,556,881,449,830,997,042,584,240,122,189,108,004,081,300,
783,068,729,658,785,705,595,124,736,453,084,881,259,851,336,833,553,330,761,
342,007,841,209,253,271,977,293,088,104,377,329,315,940,694,911,333,892,235,
580,774,190,396,578,407,815,767,578,328,193,880,150,836,757,692,749,084,949,
295,085,105,714,949,802,840,572,891,875,157,019,122,306,838,411,629,969,172,
005,376,125,315,481,473,508,882,379,577,211,295,653,801,375,279,400,181,839,
559,987,449,791,883,103,731,393,091,517,661,211,071,585,289,461,717,104,984,
734,863,965,563,024,426,449,569,027,357,326,800,428,634,665,950,752,922,836,
193,775,563,505,312,255,550,121,503,408,848,098,603,405,956,011,646,768,753,
251,893,494,678,598,654,805,234,515,788,342,386,167,716,717,761,899,452,766,
551,357,405,933,339,184,528,913,098,787,535,728,114,322,635,151,469,155,183,
467,513,871,364,930,988,846,023,151,269,888,724,861,863,160,425,674,936,792,
150,952,973,155,624,156,931,486,731,788,934,138,588,292,632,508,360,895,582,
834,890,259,034,481,951,946,878,873,773,146,769,430,133,619,870,052,177,117,
118,177,613,697,948,370,845,883,059,638,432,226,361,082,729,729,115,100,753,
427,656,747,495,578,010,572,019,677,213,082,504,296,210,337,181,484,093,107,
689,708,987,003,973,801,436,454,276,496,837,650,770,422,105,569,573,038,996,
910,973,469,498,109,798,799,053,017,646,057,939,469,190,625,699,539,854,688,
279,479,261,998,534,763,850,499,604,763,111,467,553,690,873,721,864,532,643,
187,811,215,830,926,242,531,765,582,622,798,737,764,707,980,330,782,146,926,
193,714,487,853,755,420,952,028,888,520,985,313,372,971,304,369,842,445,661,
126,123,360,029,981,287,594,857,826,010,242,090,629,381,113,661,198,558,967,
110,600,734,879,483,597,820,629,510,392,006,501,534,020,857,064,638,941,222,
663,728,509,074,367,424,601,275,250,797,527,799,222,597,202,528,192,410,139,
431,138,989,141,183,609,692,352,182,040,500,362,226,662,957,579,786,896,950,
232,827,015,454,645,600,784,836,995,558,219,828,267,884,849,357,178,856,449,
451,370,906,445,787,317,428,404,518,544,292,038,772,354,934,501,148,661,559,
434,511,148,021,160,295,099,550,694,117,355,822,470,831,000,213,179,618,126,
188,205,365,555,730,106,155,774,041,462,352,057,057,675,173,415,182,244,451,
824,208,674,501,937,549,300,302,586,757,254,897,025,730,025,722,781,774,188,
564,859,769,442,012,137,872,306,691,044,389,929,266,178,005,022,541,755,658,
738,933,594,534,179,059,800,177,516,484,097,387,469,499,256,235,554,511,421,
394,342,028,390,632,652,603,566,307,010,820,402,596,057,171,412,519,075,369,
963,447,763,609,194,979,563,071,879,177,184,124,751,949,306,334,613,441,667,
336,496,293,188,721,116,502,994,658,569,940,564,941,292,559,963,194,191,119,
041,063,219,944,275,511,079,332,295,012,875,696,750,583,026,485,245,353,071,
005,783,999,368,749,047,411,027,231,746,886,601,448,127,298,424,402,265,717,
888,682,827,238,148,305,766,659,975,641,892,839,713,831,024,482,348,013,289,
635,950,190,942,724,330,371,609,754,229,916,783,912,548,087,344,933,120,108,
904,710,100,518,891,093,729,447,329,675,216,485,816,434,055,447,457,462,674,
656,675,877,905,504,594,439,306,323,492,148,571,986,499,103,660,259,015,955,
310,987,805,380,897,210,247,017,067,678,013,210,828,498,637,529,338,783,863,
181,474,065,481,734,762,193,260,581,196,191,194,590,752,739,813,609,264,782,
699,737,111,287,845,276,380,260,111,582,956,809,031,083,669,115,875,301,820,
777,098,500,876,879,724,730,738,280,484,345,983,297,654,030,034,699,897,768,
831,422,486,890,047,646,608,381,291,661,153,617,146,058,210,007,776,178,155,
516,980,959,016,245,186,674,421,893,319,134,319,979,418,315,943,165,794,075,
266,820,805,543,954,784,916,948,196,147,187,209,936,697,973,983,007,393,827,
456,561,534,543,743,585,418,179,299,724,430,906,948,890,193,181,877,447,786,
805,357,692,683,037,265,665,519,810,513,703,506,154,202,813,514,564,239,154,
881,834,173,506,249,503,858,423,875,653,424,164,117,675,358,695,139,152,738,
260,374,719,879,268,715,033,190,522,249,451,441,404,839,248,971,286,501,457,
668,076,343,878,951,333,450,809,438,993,787,119,851,922,040,292,680,845,961,
054,444,757,940,953,431,233,732,987,305,060,002,322,724,793,287,774,293,096,
660,137,806,525,903,210,323,676,487,818,839,922,056,951,640,397,913,194,039,
450,098,673,649,893,326,400,008,261,466,832,567,988,063,180,022,356,377,796,
546,971,861,551,303,116,498,515,638,980,883,178,697,647,337,477,246,711,066,
399,498,179,925,441,597,765,538,971,326,428,424,335,730,332,027,655,994,266,
502,696,534,762,511,179,964,992,378,633,880,262,348,999,425,296,440,344,533,
606,603,293,942,748,348,879,466,325,746,387,058,185,191,769,852,207,256,461,
655,510,411,264,099,923,117,048,496,878,384,925,978,635,754,990,273,880,902,
827,660,430,459,444,964,603,669,742,101,388,273,987,248,558,410,162,527,228,
653,646,414,241,287,433,322,641,447,684,312,010,495,225,568,292,015,691,740,
268,660,157,726,459,712,612,146,505,085,435,706,467,088,935,352,644,169,364,
605,794,290,020,656,250,597,470,222,289,371,897,035,541,733,774,607,067,897,
684,364,250,931,530,245,585,601,785,612,236,171,604,718,375,666,194,972,039,
878,705,311,810,069,303,197,050,321,362,569,309,630,195,541,690,342,048,642,
220,152,303,089,626,893,050,613,396,618,632,230,391,060,996,682,950,072,145,
550,579,571,241,961,611,318,518,913,039,814,382,508,676,425,283,647,777,144,
472,337,688,510,339,567,219,850,255,863,494,203,569,682,570,118,752,741,849,
703,287,829,360,257,326,266,094,152,106,032,089,118,338,536,795,361,186,958,
522,727,019,420,713,024,381,942,697,149,478,529,854,900,492,753,822,153,491,
044,920,512,327,431,033,451,713,216,337,870,612,005,661,585,612,764,029,719,
320,962,140,309,679,125,396,743,392,603,574,180,345,923,929,614,824,362,201,
676,989,271,293,831,064,231,688,004,529,452,213,072,113,506,302,565,525,516,
010,461,962,734,751,580,179,441,017,898,840,717,744,414,620,337,685,351,965,
321,874,555,708,777,714,652,800,385,600,436,683,993,094,679,569,442,442,845,
871,827,564,120,514,091,969,917,874,069,628,909,802,238,445,488,879,094,815,
669,680,737,737,907,784,172,744,216,581,379,197,828,421,272,563,613,229,296,
157,102,825,033,436,059,681,555,519,921,070,648,746,813,713,277,302,309,991,
449,626,586,801,992,871,761,528,815,898,612,072,115,393,556,047,663,776,334,
770,026,588,346,563,255,337,664,707,292,651,585,127,265,459,434,517,849,105,
881,274,325,492,577,717,527,624,655,678,514,290,740,174,596,009,025,293,478,
748,013,490,679,686,165,431,462,279,231,634,464,890,393,955,441,377,786,808,
360,971,499,876,793,288,032,489,553,315,509,035,627,710,378,944,013,710,049,
424,156,954,097,431,923,795,984,226,781,575,615,922,977,031,119,173,292,770,
862,208,980,880,760,776,272,884,624,481,022,321,216,889,070,570,847,167,983,
211,676,823,036,447,888,060,909,133,562,411,469,647,695,564,042,430,416,186,
174,216,344,047,885,701,248,318,596,922,542,056,426,411,125,155,736,182,248,
002,928,943,770,173,344,919,717,496,103,919,779,850,623,302,170,059,591,336,
770,348,796,560,207,783,839,405,147,039,441,440,055,901,172,485,843,523,871,
742,362,397,708,670,156,790,553,710,562,004,451,230,116,674,681,180,994,086,
772,759,418,168,588,245,178,394,120,974,658,260,900,558,228,319,899,975,407,
471,883,424,781,179,465,013,990,487,255,055,769,413,297,764,742,357,305,969,
788,383,058,679,418,059,924,717,633,582,689,097,925,378,364,554,711,375,723,
256,514,477,645,787,958,951,774,768,238,678,859,118,043,478,028,041,768,060,
298,751,162,739,098,167,044,398,727,347,068,811,080,889,119,502,848,699,359,
657,410,300,988,436,170,486,960,022,957,209,326,476,650,946,732,093,663,317,
644,460,195,667,164,386,049,673,435,134,870,643,125,467,357,836,583,136,972,
662,626,911,571,235,630,105,813,220,422,993,464,486,769,158,506,729,510,305,
442,541,375,117,061,633,152,047,969,813,230,429,759,436,305,417,763,720,727,
500,112,196,167,085,203,589,977,619,903,056,945,545,985,725,796,956,081,645,
116,102,658,268,536,276,761,411,909,628,411,396,457,515,694,442,423,887,358,
865,261,580,881,719,227,096,139,555,591,037,030,262,848,021,401,684,153,522,
526,616,764,889,667,305,150,756,836,604,967,472,174,594,838,696,177,368,867,
912,579,773,396,195,432,377,305,880,029,471,841,144,905,342,417,097,836,807,
042,133,520,570,071,799,337,733,094,133,066,559,583,689,883,255,022,961,561,
265,542,131,799,885,653,295,565,876,107,223,694,036,466,926,255,325,510,715,
821,771,976,340,512,498,810,856,150,523,558,438,553,451,740,367,643,682,493,
665,696,449,117,344,099,460,001,966,753,592,155,778,822,822,690,924,177,083,
219,525,915,863,847,006,240,738,276,702,537,094,546,214,165,626,237,703,524,
965,772,670,776,285,183,429,117,362,485,075,413,850,646,473,828,345,865,599,
953,672,706,318,885,902,577,961,321,464,689,760,375,323,435,540,166,983,769,
968,363,936,234,652,903,426,526,146,715,717,778,249,833,466,397,679,550,518,
913,414,316,527,156,979,863,709,626,227,532,016,690,880,252,762,362,508,931,
202,335,773,861,337,857,077,270,214,328,593,395,835,303,702,170,822,219,034,
880,143,173,230,763,403,519,462,287,729,899,359,394,719,949,897,658,609,478,
877,592,225,770,340,283,908,123,512,697,550,864,697,563,668,311,345,872,190,
307,533,144,264,524,543,435,858,046,315,026,446,711,779,107,161,961,378,358,
384,830,023,869,784,799,358,233,972,184,854,848,978,915,937,536,012,913,363,
693,275,041,971,548,889,406,266,718,377,651,406,107,179,834,858,269,728,133,
832,497,773,619,824,664,383,435,865,863,708,224,910,544,139,535,174,972,735,
292,846,096,739,694,299,209,466,461,990,085,727,156,496,073,384,614,973,365,
940,527,374,617,399,487,538,996,994,173,453,507,546,166,556,119,853,001,783,
475,046,222,909,880,467,041,080,435,656,472,377,188,950,731,646,502,755,999,
655,095,990,144,599,937,404,594,110,961,727,998,113,376,240,106,936,081,164,
717,671,743,651,732,128,937,189,471,460,732,045,238,110,455,554,134,196,699,
221,309,965,263,652,402,757,951,348,584,450,852,672,077,282,860,627,113,002,
040,932,434,399,675,858,068,541,712,394,044,610,860,128,691,089,983,027,401,
236,079,858,116,881,912,017,250,876,569,631,709,553,956,730,275,259,672,669,
253,747,158,168,733,156,498,235,817,979,863,485,241,020,762,108,642,403,486,
169,816,293,602,887,239,179,447,432,036,621,502,007,356,277,435,959,450,707,
865,137,601,294,449,306,289,238,875,068,071,513,228,064,497,339,036,169,386,
793,685,708,027,941,940,285,869,676,482,118,800,025,723,047,603,924,683,329,
744,095,075,317,073,786,993,921,654,030,984,497,760,122,931,857,791,031,614,
327,045,533,620,001,100,756,112,776,383,681,718,781,055,009,516,050,241,104,
747,349,805,057,592,257,817,654,691,422,896,667,380,521,520,933,850,341,743,
400,570,364,500,433,101,503,044,821,971,183,180,977,743,841,984,333,045,904,
122,542,224,174,588,827,272,574,686,767,284,193,167,667,044,595,880,683,251,
057,970,488,999,296,991,169,870,043,455,479,887,220,407,611,342,503,180,353,
768,455,881,094,145,474,940,765,881,343,582,258,444,557,946,425,714,926,961,
252,637,761,793,859,515,747,540,512,821,897,110,348,219,949,971,850,072,536,
797,602,934,754,242,006,788,579,856,385,022,523,822,407,716,117,196,543,893,
309,571,684,136,467,510,191,277,087,663,662,221,754,240,564,151,889,627,731,
028,046,286,544,941,572,154,985,891,679,221,314,702,561,358,007,745,611,159,
175,767,306,558,127,336,639,866,189,480,386,484,542,167,655,390,811,733,926,
142,052,852,035,522,264,224,546,406,198,417,608,890,091,735,978,189,404,432,
588,378,437,167,343,069,354,058,282,471,045,718,344,813,255,956,170,143,945,
698,195,635,357,213,333,873,062,510,841,059,939,026,693,455,371,331,398,013,
057,702,945,045,579,464,164,085,705,889,199,963,901,778,632,196,498,535,282,
154,135,575,650,197,926,202,005,273,800,624,869,949,700,245,969,868,509,113,
509,720,799,369,113,735,453,446,407,612,821,709,824,198,946,887,202,157,097,
141,604,773,381,266,859,466,754,684,669,492,897,964,815,241,585,789,138,440,
022,192,422,408,806,112,849,719,301,211,020,502,671,328,929,035,294,708,525,
339,166,897,761,212,561,920,006,194,063,889,663,719,726,621,208,993,822,321,
584,203,443,532,410,781,772,026,342,371,217,953,388,769,854,351,713,754,688,
255,212,107,097,079,072,516,183,561,389,015,215,269,051,534,926,459,431,377,
261,783,172,605,337,868,462,630,977,823,375,371,097,930,675,090,388,607,577,
755,823,603,074,783,359,519,443,222,346,125,073,856,040,188,325,476,898,337,
948,959,008,542,536,158,728,609,192,381,538,957,386,838,833,125,426,633,728,
571,664,006,151,994,582,575,806,597,441,724,461,413,066,817,931,289,096,619,
640,721,574,159,222,538,499,482,900,616,411,010,972,816,636,594,323,049,068,
705,886,427,884,123,147,902,909,357,229,408,638,807,842,961,500,519,633,898,
957,626,895,228,168,816,577,746,201,112,754,144,746,597,953,138,103,780,372,
190,388,501,437,289,594,502,903,240,620,537,855,298,816,263,580,276,343,335,
956,084,689,881,420,581,110,409,179,125,409,358,508,750,916,714,561,581,844,
256,268,953,605,690,273,664,711,248,123,323,765,249,103,495,552,926,120,998,
900,643,697,070,872,688,270,927,604,860,505,872,090,900,102,944,724,536,908,
978,498,252,091,586,692,595,003,220,178,560,252,687,350,569,483,488,077,015,
498,349,110,843,568,911,595,302,207,760,742,886,661,535,847,466,665,182,971,
746,399,676,948,799,945,597,503,611,829,558,794,081,846,911,195,087,589,581,
151,558,452,103,786,960,292,761,670,926,666,899,069,545,889,075,113,232,857,
969,258,568,103,908,940,396,253,277,605,182,463,424,534,640,289,054,412,486,
025,890,254,975,730,864,888,362,686,989,233,166,283,619,856,622,410,681,824,
487,855,993,698,734,383,430,743,894,334,401,465,290,262,651,378,645,666,349,
712,203,785,069,107,228,709,494,623,547,102,853,931,778,182,984,943,483,577,
434,198,120,755,118,845,201,419,051,870,407,822,714,824,940,168,298,547,839,
780,094,176,188,644,544,891,506,845,933,570,719,579,428,198,189,955,107,999,
433,833,729,167,977,477,409,434,876,804,272,447,549,157,769,724,607,272,292,
530,301,581,432,196,250,376,592,758,954,972,099,159,493,372,462,483,983,966,
363,679,070,215,059,274,220,055,005,945,117,419,065,502,469,469,339,654,491,
564,038,205,890,876,545,524,686,742,179,266,790,483,197,191,361,196,717,073,
089,281,398,812,890,559,937,879,913,798,560,754,919,723,572,731,166,397,303,
875,830,328,649,655,562,960,443,731,078,494,077,711,774,054,924,551,300,607,
922,654,554,004,294,639,903,093,879,865,483,867,863,563,624,690,837,579,344,
060,674,362,138,996,222,593,782,570,379,498,296,733,323,985,564,437,056,361,
472,150,988,314,932,159,148,912,437,249,219,170,406,437,728,704,666,195,208,
032,636,135,924,385,897,405,303,224,598,963,365,487,167,678,228,704,281,252,
607,362,600,457,402,844,888,839,935,133,269,991,592,804,626,965,995,652,643,
018,497,248,638,085,354,692,565,795,121,082,009,603,476,319,853,717,088,790,
689,428,669,920,283,971,634,091,444,193,698,275,299,967,552,595,493,849,317,
485,946,290,337,332,552,435,763,992,262,411,615,953,541,321,733,219,164,886,
271,334,394,851,665,050,741,276,674,169,393,584,575,531,028,663,604,010,521,
120,113,521,951,573,638,110,095,523,478,975,401,373,048,754,979,303,621,772,
987,011,451,447,376,880,704,927,108,752,181,441,409,961,769,218,607,376,047,
782,276,017,187,082,493,256,396,054,925,934,999,896,840,750,582,532,984,690,
703,735,909,568,383,353,288,850,364,126,248,459,072,283,104,851,716,995,074,
026,572,281,135,556,939,507,793,945,062,832,183,668,705,533,848,964,194,691,
046,962,379,645,158,674,095,451,081,387,703,623,635,789,620,283,693,170,701,
483,967,421,061,447,477,190,138,775,022,153,345,179,510,325,091,970,396,640,
953,215,826,709,667,944,713,378,832,257,728,186,214,326,796,409,841,888,686,
491,307,875,624,790,820,278,529,468,693,182,186,893,524,890,736,508,442,932,
889,863,008,995,031,832,925,997,715,757,757,947,189,289,356,274,763,194,226,
076,510,394,480,094,085,105,017,235,813,968,416,358,381,220,886,591,076,025,
543,313,119,832,755,538,367,012,006,457,539,932,928,051,372,159,613,339,709,
490,620,767,385,879,446,816,868,932,150,319,429,734,150,108,670,407,361,573,
810,329,015,272,423,882,884,441,591,334,676,813,025,405,567,118,040,966,817,
858,890,935,300,373,674,001,455,014,416,695,217,144,678,494,332,480,405,584,
412,933,456,262,309,414,246,713,726,231,201,806,139,110,183,283,910,134,142,
998,584,468,088,650,650,799,308,168,026,872,767,892,060,806,832,156,943,838,
405,229,329,512,434,161,703,023,120,415,678,407,297,901,316,730,242,993,256,
687,304,617,166,818,432,030,720,218,724,093,257,585,313,830,943,670,748,070,
742,229,522,003,421,615,668,977,528,064,768,493,700,155,764,812,106,707,059,
834,569,210,882,057,770,084,826,867,478,212,197,509,276,953,045,186,782,684,
605,401,913,042,695,993,317,977,221,035,608,608,427,436,947,541,541,411,140,
702,672,717,813,752,030,721,625,601,762,472,974,292,637,706,833,369,000,300,
747,139,876,236,380,039,260,352,108,092,946,844,154,179,833,530,728,650,474,
185,813,863,182,560,437,865,763,399,454,924,657,526,855,593,566,163,248,655,
343,619,219,512,536,124,309,304,979,142,785,214,978,006,647,246,280,830,871,
709,819,209,885,781,704,869,290,635,557,520,559,403,520,513,644,820,197,515,
971,608,149,571,637,976,310,947,933,960,098,248,374,905,811,911,995,612,910,
248,421,124,132,123,483,418,082,841,592,690,541,134,294,592,133,163,402,242,
418,786,505,059,708,978,432,938,988,710,995,259,831,865,012,768,591,486,391,
218,213,033,948,727,732,656,792,424,810,655,796,446,904,091,852,567,171,196,
317,116,857,176,798,176,792,307,872,122,258,575,969,746,553,215,278,350,974,
471,304,966,065,020,771,311,084,961,752,495,488,085,251,506,023,388,904,518,
895,681,507,124,194,425,379,800,868,745,716,959,324,754,699,752,761,794,416,
775,573,620,748,956,460,997,005,923,884,133,175,085,244,370,917,477,339,687,
796,200,807,288,928,738,604,814,064,117,469,849,326,397,661,948,726,632,379,
090,724,744,067,166,567,980,875,377,086,659,034,401,889,278,237,332,453,487,
280,909,009,024,089,556,406,828,883,712,009,416,554,901,214,769,896,932,002,
632,831,285,388,817,901,815,506,435,201,094,007,748,139,690,298,658,869,836,
701,013,569,506,283,771,510,830,513,144,797,149,676,307,104,599,122,182,212,
808,695,626,773,331,285,853,882,882,630,770,505,337,881,646,479,489,303,625,
236,306,466,790,588,167,979,985,032,257,500,228,175,462,336,700,095,507,579,
522,014,519,574,071,081,862,213,226,894,084,972,499,342,527,977,462,780,457,
540,948,813,210,656,471,659,978,650,651,868,784,654,570,693,915,475,795,509,
873,297,740,655,438,020,591,130,361,566,416,829,702,321,294,736,160,931,144,
869,246,152,420,921,288,690,456,873,677,316,880,630,019,722,257,800,312,315,
417,651,302,523,322,704,498,064,534,036,624,130,581,318,125,545,996,714,550,
544,586,634,070,565,512,221,939,732,020,497,730,767,853,673,366,327,786,970,
966,719,019,734,017,790,664,285,207,471,093,057,736,675,552,465,117,966,011,
206,789,456,059,505,285,654,130,380,568,166,872,528,209,904,774,820,105,968,
044,868,632,070,104,973,755,999,739,060,113,267,856,524,908,444,269,814,437,
256,548,241,894,241,691,682,241,043,836,782,984,270,938,300,130,021,698,430,
473,842,189,720,947,739,605,030,826,894,598,586,841,023,343,490,564,531,058,
773,333,665,127,584,762,271,841,682,208,733,867,843,965,521,926,617,565,712,
158,644,728,064,568,083,357,295,533,696,184,194,124,058,507,227,481,900,244,
158,669,664,760,230,533,595,307,705,762,856,576,762,649,155,996,909,509,936,
934,703,145,620,874,322,773,576,518,329,818,288,791,428,890,686,354,788,048,
986,785,055,946,219,133,600,615,638,379,763,603,720,511,439,335,153,663,414,
684,988,120,089,948,024,963,542,845,573,119,465,639,301,864,930,260,359,313,
309,831,324,744,490,400,632,198,448,823,217,764,834,780,535,436,040,368,410,
436,092,450,712,232,038,888,404,845,520,100,640,546,484,054,689,457,972,895,
533,406,940,176,276,196,708,553,349,684,479,960,073,178,854,513,760,063,675,
494,597,130,084,112,458,107,760,906,008,702,294,603,897,927,723,622,749,739,
258,688,321,377,798,985,281,822,484,321,803,280,650,558,290,285,700,363,457,
104,520,762,869,524,056,702,948,914,466,619,340,861,598,125,548,955,760,675,
217,383,462,202,665,997,164,669,805,064,538,824,264,078,268,163,782,026,824,
832,586,391,376,021,509,783,938,401,568,956,821,293,976,123,306,906,571,349,
496,834,380,409,967,799,994,195,942,150,733,224,982,130,980,118,773,372,925,
517,341,725,866,906,782,349,157,291,000,388,168,295,579,916,437,533,232,570,
518,668,874,758,159,127,781,165,502,194,930,844,903,610,389,059,680,809,454,
924,725,669,401,994,428,077,359,399,129,118,596,838,142,348,035,744,983,326,
106,901,000,168,516,665,269,527,358,663,909,904,930,202,346,035,055,691,808,
803,410,428,808,297,557,052,377,442,583,567,072,439,551,507,621,192,467,672,
805,583,593,228,440,542,816,153,190,545,972,876,583,113,492,374,574,226,885,
211,851,677,709,786,970,886,779,073,270,486,549,227,156,183,184,226,819,552,
857,814,513,600,484,672,329,739,923,101,770,617,306,966,031,012,170,838,490,
494,880,741,596,612,216,032,922,728,528,290,543,054,792,340,605,503,753,537,
381,981,497,009,477,483,401,253,523,369,876,094,045,076,373,482,207,489,310,
339,524,698,392,389,476,303,892,054,642,210,531,718,706,573,014,827,756,293,
839,122,153,656,189,147,901,086,964,853,411,351,373,558,197,304,591,762,172,
030,194,856,675,363,710,872,485,256,620,490,032,305,378,943,994,784,615,432,
904,791,951,510,865,374,373,934,086,901,430,916,217,943,524,527,520,506,217,
996,532,257,232,538,264,684,938,898,108,738,386,335,361,552,375,809,446,968,
200,554,115,525,334,832,745,993,871,125,011,990,692,962,585,263,754,946,199,
071,180,255,145,605,935,533,169,310,795,178,490,336,886,400,755,196,651,094,
530,528,879,721,694,876,044,245,016,388,240,990,778,438,254,990,506,588,461,
671,993,258,477,336,903,310,338,944,486,951,358,913,837,015,404,513,014,146,
790,977,121,661,682,219,021,479,195,001,269,942,044,542,049,104,940,252,728,
479,618,597,698,646,280,820,960,478,819,263,065,063,274,936,004,253,720,370,
849,814,551,156,764,536,091,509,817,259,447,016,795,356,756,872,714,544,110,
289,467,007,222,845,842,642,603,269,622,959,363,219,919,798,535,957,383,968,
682,146,687,211,678,677,980,580,602,609,992,233,170,319,090,188,996,017,848,
071,409,924,198,089,880,326,199,676,842,650,583,011,617,541,808,474,546,915,
140,697,803,547,118,489,477,155,419,410,241,312,596,417,706,645,941,072,141,
854,710,825,051,179,510,575,448,288,481,411,080,974,915,378,239,117,059,666,
844,537,117,862,899,544,042,232,315,471,334,116,853,728,107,204,191,739,547,
125,394,056,483,196,534,159,061,144,307,125,460,012,999,575,372,252,681,660,
617,222,913,082,350,688,913,974,476,699,271,197,396,970,242,461,768,203,019,
219,291,281,046,972,162,808,133,386,295,532,804,075,127,964,375,843,582,286,
681,920,500,638,969,673,597,903,112,463,583,770,379,082,293,366,060,541,847,
898,299,979,748,269,687,516,387,016,378,575,500,117,575,213,503,701,124,632,
678,338,269,681,656,070,801,483,467,289,524,685,370,664,156,561,413,242,986,
235,920,065,559,058,501,104,665,482,285,062,027,576,284,762,497,459,175,650,
150,368,617,259,051,896,422,607,803,666,799,022,433,851,745,778,723,339,116,
528,302,184,056,043,489,201,564,977,495,308,727,240,361,473,469,438,441,699,
090,158,610,767,269,030,411,340,401,713,680,735,005,726,543,099,691,814,992,
049,314,627,095,090,936,133,443,493,961,042,986,770,000,855,080,222,156,244,
909,508,461,867,806,167,876,639,255,456,665,132,961,985,446,265,395,882,737,
765,600,981,549,199,514,525,706,903,670,189,318,286,935,925,058,987,733,430,
800,120,190,772,909,856,434,871,004,658,743,115,343,194,531,709,075,693,337,
727,291,198,152,988,806,365,833,363,684,320,135,825,166,292,537,973,949,368,
995,071,996,835,861,916,704,299,713,800,800,130,270,566,015,407,922,061,946,
976,518,091,009,941,092,597,106,569,212,366,306,462,738,247,229,548,861,885,
247,940,796,655,026,152,236,529,431,275,249,960,901,603,029,786,909,924,599,
440,474,250,468,895,189,321,378,581,199,525,676,143,166,606,437,579,371,890,
461,331,736,776,864,842,204,347,009,568,441,909,863,644,122,024,089,712,393,
487,917,160,619,730,534,660,125,081,443,007,913,360,545,899,723,109,864,189,
144,825,240,838,345,420,980,918,276,348,211,262,848,665,364,185,887,158,673,
129,914,490,534,681,206,763,681,576,294,641,977,212,641,769,633,010,618,703,
148,575,784,438,823,314,312,104,557,423,982,809,193,969,950,090,373,706,038,
749,849,478,112,891,736,793,390,685,724,369,402,316,258,580,282,437,385,548,
305,326,492,421,878,487,905,643,614,962,908,771,331,561,318,343,339,318,803,
361,454,551,790,323,484,310,527,657,047,510,687,181,707,981,116,282,857,649,
689,864,472,084,563,622,095,127,277,799,736,596,291,270,813,546,460,258,746,
624,868,265,610,915,298,848,177,435,670,262,144,096,266,843,633,785,669,699,
397,604,497,040,468,252,234,459,459,713,036,160,462,624,638,832,795,932,832,
304,985,503,557,171,979,029,165,304,894,405,184,352,113,319,653,513,702,177,
489,417,649,597,710,822,958,057,904,486,421,338,576,677,193,900,863,016,330,
239,858,766,864,539,377,028,475,468,690,221,616,300,030,681,039,676,716,796,
925,510,649,830,520,497,009,218,391,396,181,805,900,360,094,470,633,955,916,
577,428,079,554,418,879,608,009,190,725,526,499,184,181,147,333,884,071,266,
127,106,034,575,006,456,776,258,506,928,204,819,355,804,725,119,603,542,237,
416,503,228,760,079,129,165,327,106,038,595,477,395,225,221,450,738,994,633,
027,674,294,380,078,597,490,899,278,976,060,696,399,165,204,507,122,647,548,
395,358,544,583,238,084,665,078,239,420,393,473,772,785,417,852,661,139,823,
047,082,612,620,867,403,754,148,273,413,557,378,606,149,072,732,592,691,790,
602,460,018,661,023,200,285,592,411,375,272,485,390,049,793,288,961,185,916,
293,109,701,287,170,466,213,342,306,660,182,575,991,377,079,885,561,039,996,
083,274,224,759,143,599,050,181,862,261,481,522,790,374,729,859,659,086,963,
408,373,034,027,717,980,400,062,683,808,657,634,179,027,460,558,327,454,273,
907,252,464,629,224,026,923,363,911,590,267,042,477,547,908,510,350,587,730,
208,207,615,354,344,722,373,691,176,278,110,746,838,789,744,691,392,735,249,
678,633,624,543,229,647,434,573,151,845,409,839,450,361,215,001,860,935,234,
315,546,199,032,475,868,048,924,505,002,385,951,657,845,689,862,363,129,730,
147,372,845,910,370,043,827,464,016,787,988,397,707,260,781,983,014,374,330,
492,406,870,079,276,355,373,887,782,394,947,823,640,732,614,455,950,616,534,
959,381,333,542,911,374,307,555,730,842,814,573,352,807,057,355,328,189,582,
321,549,717,442,917,205,386,354,353,242,805,641,539,988,320,897,948,871,238,
070,018,185,701,222,639,933,542,525,556,644,724,497,021,364,929,840,289,228,
844,244,825,809,591,011,554,928,842,996,759,756,538,490,217,274,406,468,840,
145,701,127,464,982,064,793,569,449,840,932,670,433,345,842,831,452,142,555,
655,887,667,983,565,550,987,616,448,424,133,730,446,693,487,362,992,055,961,
067,274,495,021,302,536,551,020,107,056,849,202,551,248,769,622,829,156,992,
125,403,584,085,404,469,670,779,252,903,839,245,698,442,073,757,380,508,569,
613,573,952,774,558,722,775,460,147,173,658,102,651,517,506,696,521,416,628,
233,106,371,318,310,644,380,264,578,403,394,149,798,248,130,256,380,772,856,
182,010,292,247,015,346,080,091,886,563,337,054,026,205,127,809,147,017,716,
878,723,288,877,072,331,060,914,779,863,630,616,535,030,996,427,323,216,185,
818,402,019,465,031,275,625,693,230,823,248,057,849,023,044,697,331,279,494,
445,528,973,018,788,280,922,212,026,984,491,182,135,443,945,649,954,329,137,
480,819,577,803,729,979,557,318,968,426,371,045,293,616,083,506,548,565,369,
735,802,281,411,536,123,375,915,285,083,492,794,003,802,814,014,222,911,902,
360,287,794,020,026,322,044,746,255,173,677,725,659,075,592,900,054,181,265,
242,571,683,539,676,336,569,943,609,041,586,974,168,644,252,195,864,742,682,
794,836,431,352,593,451,144,557,424,271,982,633,416,529,567,493,696,706,001,
506,120,471,472,697,663,313,490,985,345,915,346,317,206,621,467,634,583,904,
799,959,093,571,145,576,990,984,165,541,255,316,032,544,610,717,501,053,217,
770,620,272,304,987,392,670,920,460,954,081,076,048,899,225,597,483,759,881,
022,602,646,215,711,138,177,527,505,561,123,896,789,338,296,432,110,326,080,
542,407,186,228,126,181,235,072,643,005,775,115,358,982,366,669,855,207,865,
503,913,864,216,024,879,546,292,071,888,705,921,665,963,233,111,623,460,666,
189,853,842,901,422,894,415,845,632,193,942,709,715,551,396,214,594,255,721,
478,236,900,870,129,300,121,626,064,904,227,480,233,947,835,176,373,465,997,
335,933,183,100,970,651,962,116,969,346,416,950,220,361,332,738,798,047,442,
186,440,493,534,819,425,349,615,517,167,461,263,435,281,063,927,634,450,136,
124,116,641,814,073,514,602,360,261,949,743,108,110,360,932,098,906,426,468,
814,294,161,805,062,954,962,786,681,497,278,615,680,639,399,361,119,617,343,
899,629,441,934,649,623,181,921,835,371,192,958,674,273,467,702,760,062,769,
753,824,393,762,811,399,484,482,460,560,410,229,186,804,727,184,231,351,481,
042,950,795,861,592,741,971,453,890,865,761,851,371,457,827,440,341,543,627,
589,662,350,160,118,508,811,757,067,309,119,472,282,802,199,491,416,280,687,
893,170,823,713,614,938,355,172,036,348,980,955,845,722,729,104,063,001,806,
064,940,689,453,323,127,543,784,925,711,123,583,537,932,796,445,724,722,243,
850,367,961,819,850,282,558,369,861,101,391,017,278,456,892,457,782,451,938,
952,810,685,714,218,697,448,453,810,996,367,019,155,410,097,861,092,653,927,
551,481,475,311,669,699,722,011,430,482,495,935,348,316,972,723,808,878,360,
874,437,978,050,175,148,682,678,482,979,110,718,498,838,654,882,822,342,331,
370,597,948,660,851,848,189,937,159,182,697,210,687,170,391,771,534,290,658,
607,956,790,240,380,303,283,598,399,771,870,922,638,632,635,714,709,337,724,
647,807,002,833,950,435,241,404,118,618,997,658,927,261,745,327,117,421,163,
246,854,802,772,003,482,240,735,968,172,487,702,704,011,742,288,691,245,254,
118,182,510,997,830,791,766,187,374,606,965,928,147,100,363,957,524,696,840,
073,852,432,472,313,124,275,339,226,150,561,795,247,802,715,151,108,904,446,
436,855,737,507,614,677,726,476,232,993,267,270,620,513,694,497,588,626,821,
450,071,195,004,218,241,170,015,664,117,956,435,050,250,565,068,134,748,917,
009,913,065,907,915,922,414,900,980,440,063,432,444,814,428,698,994,121,101,
728,405,359,089,374,414,424,997,567,094,434,738,127,666,096,556,970,351,082,
479,761,888,990,089,094,008,942,327,206,701,389,335,371,718,608,306,648,138,
415,806,063,811,785,214,597,218,531,668,335,831,790,556,323,686,576,145,103,
661,911,158,155,028,703,581,835,274,207,379,357,105,512,713,183,807,231,980,
036,832,048,931,705,377,652,108,589,578,052,934,951,264,099,632,400,534,132,
765,142,988,476,355,770,625,840,967,561,708,662,545,282,380,493,310,169,099,
646,272,618,368,583,488,764,885,769,994,743,185,882,605,638,298,473,781,975,
925,228,449,436,201,285,599,835,484,020,303,151,202,852,603,452,235,821,778,
487,855,144,974,122,514,286,820,626,730,572,138,653,299,529,290,500,946,255,
281,126,922,820,311,677,477,120,054,010,854,731,177,693,840,790,591,121,844,
147,224,830,493,929,295,418,488,877,318,553,935,744,012,386,121,255,473,390,
788,581,692,770,596,962,226,424,876,560,605,657,392,384,649,869,542,996,915,
871,285,861,079,854,594,194,890,152,372,451,935,844,368,771,166,742,442,280,
335,551,222,094,472,339,166,512,227,701,390,866,140,805,110,773,661,477,688,
214,386,034,058,294,212,423,291,781,464,237,404,882,101,097,896,074,475,755,
591,233,570,042,234,569,610,657,896,049,249,117,267,136,999,856,325,104,999,
479,600,853,202,229,894,410,325,660,788,499,536,148,989,234,944,386,234,741,
549,503,548,868,467,492,489,703,589,917,735,545,784,317,093,874,723,268,860,
255,723,399,078,920,301,929,052,215,576,814,172,437,997,038,062,683,240,627,
867,305,070,038,631,467,144,312,908,012,625,273,253,553,280,924,480,171,230,
968,988,452,998,412,159,748,650,709,298,877,113,061,252,607,874,860,521,121,
421,396,175,803,490,415,557,363,234,056,381,658,479,268,915,588,005,620,685,
351,988,360,378,502,816,733,935,867,273,261,062,255,748,469,186,147,682,487,
341,350,765,383,199,623,746,041,804,490,900,136,885,731,520,533,841,931,153,
032,867,861,327,271,519,449,625,227,526,211,196,049,814,625,010,099,522,172,
339,907,810,845,906,510,979,530,881,642,852,530,226,563,205,660,581,889,705,
923,017,259,771,678,891,476,124,024,123,225,873,709,979,557,889,494,012,850,
018,985,658,259,827,328,837,611,604,988,532,268,932,296,736,217,778,692,607,
641,387,269,273,727,259,196,292,181,244,690,281,532,616,842,100,838,154,596,
526,669,662,855,107,638,657,506,331,304,176,617,947,696,259,379,358,945,529,
185,850,330,465,158,570,988,834,527,518,488,543,987,595,723,438,205,373,938,
971,748,133,731,042,584,958,270,821,383,552,228,758,762,657,624,911,773,906,
766,436,630,211,424,282,490,616,018,624,203,500,206,050,132,156,279,455,688,
813,240,587,869,924,020,309,781,577,952,503,096,889,532,241,472,250,695,330,
184,109,798,327,716,512,205,942,630,418,266,702,272,970,835,823,036,939,528,
149,118,082,173,871,382,689,625,762,205,435,366,379,107,100,543,578,099,078,
681,184,870,020,269,463,002,734,105,808,185,281,304,024,461,517,216,187,559,
595,099,394,926,097,185,236,394,819,257,133,763,087,461,691,745,455,493,309,
271,709,693,271,822,203,799,372,228,102,702,723,376,919,178,870,419,085,134,
699,487,442,873,068,543,401,734,564,653,417,603,365,635,141,057,123,573,939,
033,793,077,273,065,264,032,467,165,534,009,655,209,718,020,604,271,569,568,
943,790,941,659,530,766,306,108,043,824,020,376,115,227,495,676,436,115,735,
334,731,783,717,409,313,830,177,861,235,732,249,503,694,454,089,358,751,029,
376,538,811,912,714,505,042,723,164,798,987,571,634,451,847,657,576,697,325,
256,013,748,451,667,495,327,405,665,171,735,198,060,292,102,837,909,151,863,
441,620,195,679,239,792,110,419,107,967,026,886,862,338,909,813,753,908,175,
294,874,919,106,243,336,853,877,764,489,413,076,659,177,840,831,538,980,347,
223,304,850,515,809,558,422,393,962,002,285,888,535,870,267,174,263,004,011,
640,929,898,018,574,222,007,934,951,848,393,250,416,328,545,003,302,668,629,
450,899,615,696,343,380,778,453,679,962,124,790,101,192,028,910,689,622,354,
874,640,589,023,323,385,788,690,209,494,611,274,226,594,345,462,274,668,566,
353,860,581,880,894,038,753,752,902,436,248,560,533,672,199,987,457,792,235,
420,717,578,623,514,858,842,750,342,069,904,008,476,449,637,112,778,613,383,
204,314,600,956,900,244,650,947,898,270,610,664,736,732,631,642,424,451,278,
875,533,576,180,147,253,491,434,192,453,971,434,226,235,655,658,291,117,267,
534,746,344,696,523,035,238,339,621,350,425,466,522,787,102,569,878,978,088,
784,209,079,202,100,359,686,266,313,355,913,067,629,778,536,450,492,773,378,
897,576,992,490,440,661,405,192,107,601,485,072,626,872,084,114,796,319,567,
847,827,635,464,012,264,906,639,365,429,296,410,008,736,606,235,599,807,773,
024,205,326,048,744,952,382,856,566,390,670,075,768,163,606,144,304,866,156,
612,759,474,218,079,945,451,543,301,397,257,177,909,301,869,972,947,455,750,
784,099,183,778,366,927,146,934,535,976,976,619,898,141,928,100,134,957,986,
689,493,023,243,028,430,134,278,845,595,599,366,339,940,081,880,880,457,777,
068,027,956,857,359,529,413,339,820,810,265,023,443,632,997,363,086,187,038,
565,848,973,270,755,599,292,265,675,026,292,565,041,557,095,003,019,696,919,
935,600,045,399,892,034,697,137,232,425,430,612,940,555,334,701,166,609,532,
164,410,533,925,134,753,915,404,895,259,749,792,529,247,954,956,821,130,058,
160,265,032,211,784,737,437,211,663,204,359,854,608,991,812,248,214,820,933,
238,641,914,306,224,320,024,947,462,896,266,664,036,861,816,296,156,301,339,
894,390,968,244,138,086,496,185,021,147,621,091,871,563,778,729,135,353,522,
658,221,736,479,899,835,112,617,857,665,903,090,353,042,478,976,719,812,786,
009,322,715,108,909,597,446,708,043,651,577,626,391,575,547,367,918,766,495,
599,769,757,583,950,844,931,546,436,503,021,603,748,872,768,116,211,114,927,
277,888,501,925,913,822,462,839,616,717,996,859,439,513,743,152,826,179,993,
119,997,381,265,662,527,601,199,849,072,850,406,241,839,997,626,144,948,398,
530,124,961,749,814,311,516,560,588,234,769,327,080,186,749,968,190,725,921,
466,804,649,624,729,192,688,087,798,273,867,267,267,555,626,108,342,095,672,
250,632,483,873,110,378,918,651,457,368,010,866,069,505,676,261,578,689,769,
725,365,460,546,411,568,461,780,469,558,544,108,691,612,386,221,079,574,199,
204,295,460,503,467,822,767,278,014,830,139,341,356,708,713,850,308,248,728,
293,540,305,571,421,380,161,180,007,701,563,358,362,396,895,521,906,872,351,
891,250,594,329,180,852,565,991,647,420,028,654,642,466,890,138,344,374,846,
326,028,567,334,054,541,226,243,289,218,698,769,112,580,989,733,249,821,511,
813,493,678,490,521,054,605,946,987,988,775,268,017,606,540,219,683,556,606,
119,108,709,744,574,829,730,714,116,436,732,712,082,243,248,013,536,670,059,
160,564,939,723,774,643,565,163,859,304,645,666,472,091,862,937,304,020,494,
841,596,142,599,154,171,971,939,034,090,463,182,212,176,490,389,247,254,486,
945,346,760,674,715,930,935,492,547,509,128,245,702,127,292,465,586,006,842,
849,112,819,358,569,386,549,369,079,162,915,368,178,120,679,281,114,222,408,
477,825,932,169,509,501,507,787,310,890,629,527,130,807,695,532,349,469,871,
838,220,194,896,106,316,664,745,562,801,396,706,219,796,220,350,589,912,383,
919,380,711,390,306,536,428,222,802,864,297,016,940,648,431,591,851,646,645,
005,127,478,344,510,478,660,810,363,901,840,787,361,757,544,909,186,362,769,
550,295,330,875,529,365,461,279,999,571,973,054,319,502,907,899,411,211,223,
012,338,988,376,648,552,035,888,857,569,814,860,660,085,005,386,728,570,787,
913,205,258,880,470,257,045,419,378,262,894,076,739,046,054,553,067,670,303,
520,605,410,269,015,715,249,526,318,357,984,661,855,850,211,155,985,510,139,
568,518,418,361,133,468,268,889,021,959,791,963,842,977,723,561,464,905,569,
229,689,534,390,395,461,872,784,934,444,710,307,035,055,581,389,987,159,898,
034,887,397,013,865,121,400,773,576,806,008,448,857,050,740,250,120,569,853,
408,678,695,217,729,794,902,389,374,396,474,056,938,517,103,673,393,193,073,
299,077,030,493,714,166,844,755,247,315,622,071,120,290,865,326,598,811,650,
391,632,578,868,995,122,722,663,111,815,987,150,282,620,776,185,349,764,302,
495,933,995,179,923,886,197,555,457,545,904,742,245,350,059,630,487,928,788,
077,972,734,054,739,725,281,766,544,867,048,961,749,744,960,376,495,095,281,
064,639,791,924,330,209,435,813,883,939,690,713,655,304,564,790,307,976,643,
652,802,381,315,304,714,157,606,612,241,662,344,129,866,798,284,275,031,231,
624,186,301,782,310,166,957,834,856,587,031,114,025,971,901,792,221,631,129,
995,806,521,657,752,749,794,651,804,561,223,916,753,667,957,641,331,884,739,
481,270,375,766,151,628,084,006,185,280,772,270,255,023,809,853,118,723,027,
266,926,859,010,254,565,270,558,241,874,795,478,945,695,426,246,522,450,220,
627,982,353,000,176,290,054,631,584,852,499,461,529,773,282,803,587,583,130,
421,384,070,424,644,758,730,060,355,354,114,963,681,868,300,973,540,032,893,
043,653,756,367,994,871,804,931,703,225,459,243,089,108,370,385,517,494,307,
310,695,198,484,617,103,988,010,379,678,343,722,809,992,403,117,611,855,275,
441,243,916,954,101,114,889,952,601,549,578,732,749,534,702,790,992,206,671,
586,530,521,386,896,054,524,232,490,180,433,023,145,870,529,896,735,170,974,
149,114,664,663,967,587,136,383,417,833,648,093,627,028,752,024,526,992,191,
742,223,331,278,708,694,127,645,204,096,095,008,516,148,300,393,806,938,823,
985,247,266,530,649,352,020,353,306,854,998,821,564,454,070,068,750,604,736,
238,209,495,485,731,212,338,289,466,831,282,361,761,523,694,356,569,154,932,
114,734,969,654,101,348,687,950,631,141,902,845,318,526,917,193,329,246,716,
387,265,175,921,774,582,528,480,328,296,725,006,238,340,611,936,431,819,811,
324,540,263,188,721,344,499,472,897,354,104,983,515,246,164,731,708,161,783,
013,607,527,821,214,303,145,849,902,366,166,298,546,629,151,337,652,607,492,
353,213,006,040,248,777,746,213,728,935,220,322,739,223,424,366,133,507,164,
411,512,547,155,691,010,547,177,942,263,469,291,629,911,621,741,211,654,405,
601,400,866,813,661,852,936,547,882,187,029,653,575,294,139,127,371,144,910,
171,676,672,235,402,693,173,991,847,472,949,445,742,313,629,775,706,585,690,
518,538,246,641,124,574,794,699,908,363,722,378,313,713,532,949,851,297,789,
140,027,573,628,259,699,771,589,757,938,163,128,797,982,379,383,069,894,308,
058,519,324,423,792,235,638,970,575,167,393,150,871,234,314,964,810,369,604,
936,394,728,014,698,346,387,079,425,498,949,433,636,663,722,898,393,171,726,
709,084,133,876,817,363,502,113,822,255,787,351,015,444,826,538,356,542,263,
635,470,637,061,739,072,624,888,183,437,509,307,523,921,939,074,578,670,255,
251,046,386,483,055,456,743,266,075,538,440,663,291,785,728,617,473,206,508,
353,334,275,998,871,899,599,831,032,715,780,801,876,729,678,656,369,945,558,
271,033,030,414,385,526,476,607,828,251,672,266,001,151,969,540,731,748,948,
302,802,176,058,487,730,396,879,739,672,922,106,353,877,881,541,330,934,460,
562,660,779,501,163,310,084,029,467,262,281,590,284,778,541,552,995,064,708,
921,595,562,492,862,622,423,454,480,293,256,281,553,197,835,242,383,652,586,
263,726,710,697,286,281,192,148,716,671,251,280,955,287,071,829,846,177,534,
976,318,982,618,557,526,671,996,837,530,119,927,246,887,406,280,027,004,483,
648,419,207,224,013,174,294,767,409,403,806,202,366,069,825,629,097,769,463,
675,362,931,554,101,833,220,138,998,416,552,925,835,431,170,872,533,170,487,
126,338,443,843,028,882,655,869,537,066,388,455,647,824,351,690,984,274,704,
805,453,969,259,798,596,068,261,957,273,129,662,858,613,138,478,891,533,867,
009,204,876,979,450,786,857,797,344,599,213,667,732,352,936,879,701,588,714,
285,762,331,977,249,725,217,607,226,542,704,146,349,411,906,274,672,963,049,
728,309,429,225,048,813,287,095,632,862,077,628,298,915,072,475,604,092,495,
541,451,952,400,825,604,676,354,134,496,154,285,219,729,744,386,036,088,875,
135,931,121,009,996,268,400,711,894,706,969,290,452,947,292,559,344,898,512,
179,217,535,284,179,716,692,652,422,204,010,291,633,931,940,083,358,428,072,
931,872,319,392,649,696,819,237,578,957,335,108,616,297,229,365,946,128,953,
284,817,479,017,354,771,528,814,333,706,691,440,036,219,441,731,933,378,049,
168,384,776,805,848,473,229,477,791,309,455,800,767,710,879,468,331,940,467,
708,555,986,913,956,887,366,048,724,913,404,252,195,966,720,891,348,172,572,
126,921,082,774,908,441,727,630,583,580,310,584,291,707,048,879,621,200,608,
254,333,564,500,597,682,669,320,207,186,125,836,704,997,512,678,806,730,678,
440,094,490,773,910,199,976,787,193,218,686,597,585,533,535,730,108,206,458,
437,033,199,993,383,347,026,439,997,804,890,601,236,613,404,845,777,192,820,
916,374,662,886,181,902,926,096,469,607,095,762,829,082,118,445,127,109,821,
343,049,667,520,638,936,173,969,042,383,442,204,756,895,447,508,808,679,446,
228,481,541,838,692,701,076,904,920,930,012,727,358,148,315,708,849,352,707,
681,698,582,870,219,774,681,284,335,656,678,273,409,541,097,202,639,405,555,
204,261,759,488,563,334,244,256,620,867,138,042,375,738,065,116,576,637,567,
667,434,414,105,147,203,430,197,594,685,520,051,944,802,096,885,734,209,353,
372,463,935,104,833,453,108,377,821,933,109,349,092,559,214,096,973,436,130,
227,386,400,663,681,695,964,248,737,307,040,968,972,907,638,758,291,800,122,
599,904,305,181,496,106,393,106,081,745,785,535,048,857,370,657,162,313,335,
950,552,279,936,920,362,860,878,036,766,012,577,754,139,460,012,165,702,198,
754,484,441,952,534,950,571,041,036,265,957,576,029,542,617,739,456,894,199,
436,161,222,736,335,437,476,070,277,495,743,305,236,066,107,262,762,805,594,
304,138,223,124,549,690,588,295,364,402,062,907,728,955,484,439,540,094,243,
600,646,966,752,160,238,517,905,482,577,637,044,483,624,235,606,818,791,207,
366,737,792,653,121,187,548,296,758,793,156,884,595,927,398,497,977,083,164,
586,076,749,906,884,029,716,529,732,648,444,843,601,310,823,844,989,233,848,
398,218,588,197,839,469,243,388,495,853,096,560,934,762,900,620,123,285,366,
675,409,646,622,961,191,892,520,642,492,143,357,698,680,682,979,876,157,296,
464,627,629,393,232,248,564,010,420,077,039,011,496,291,916,049,505,497,417,
943,263,504,780,492,392,005,993,763,216,783,551,682,934,062,555,307,027,140,
840,933,507,622,544,137,176,021,985,444,015,191,341,023,222,268,373,147,930,
602,821,748,690,925,375,139,691,204,827,163,815,075,468,573,350,546,293,261,
567,734,317,994,866,763,515,945,068,780,795,610,698,586,932,971,409,972,384,
754,880,519,736,696,923,160,282,524,808,738,273,799,785,798,096,570,669,984,
247,362,835,027,301,852,422,743,992,030,545,136,611,468,939,999,084,185,269,
462,666,533,346,031,738,442,015,240,042,131,218,175,587,194,839,899,844,324,
991,774,642,858,594,561,007,386,464,168,971,935,647,991,171,524,626,194,782,
433,838,251,835,158,148,744,461,348,985,025,473,674,064,351,637,079,100,024,
923,237,338,944,116,747,342,105,626,863,827,440,798,369,843,854,259,967,819,
369,665,957,737,082,906,179,483,405,493,401,785,226,898,789,320,298,277,516,
673,339,520,292,891,623,174,652,725,392,768,051,777,643,592,471,050,421,286,
355,971,966,492,500,981,727,882,032,375,761,445,086,421,864,761,754,076,810,
418,138,589,056,343,732,091,352,795,900,773,885,184,113,606,417,433,008,667,
649,182,422,027,967,783,694,755,894,109,329,312,071,358,626,200,166,844,353,
536,334,961,078,748,441,017,001,497,306,820,249,402,581,867,518,179,568,072,
776,663,117,898,765,324,921,372,655,899,609,097,363,668,440,946,755,462,640,
266,599,674,831,825,862,973,652,179,651,076,265,071,781,884,275,709,091,368,
156,579,108,402,555,576,022,181,149,954,348,975,779,776,027,042,406,722,442,
523,981,989,621,659,895,477,976,244,586,237,898,373,452,179,055,375,854,019,
561,297,216,184,799,704,516,159,925,492,813,800,794,656,208,782,034,699,362,
168,459,001,793,985,661,390,343,864,483,509,762,087,533,776,801,456,794,688,
166,991,771,921,722,733,780,553,769,359,350,969,930,003,463,928,949,682,563,
544,155,300,368,390,928,652,080,629,529,775,269,172,865,501,550,577,598,461,
736,436,973,549,537,944,368,006,357,328,106,403,667,740,843,925,494,644,778,
964,870,719,358,706,859,852,583,907,627,976,778,627,826,981,204,341,688,758,
982,268,043,706,843,765,009,722,675,037,910,778,096,626,112,937,293,937,190,
179,919,618,648,180,036,017,965,464,893,209,655,534,199,326,528,951,797,030,
848,577,706,676,638,627,719,535,528,860,089,720,605,653,184,595,692,829,173,
131,033,591,694,884,293,428,308,336,027,600,158,202,044,111,816,751,305,200,
973,295,335,381,383,761,019,677,345,690,342,933,192,588,084,900,550,760,719,
147,888,100,058,126,778,279,400,193,702,902,420,789,774,443,517,088,380,172,
616,621,922,030,321,678,150,304,916,251,233,766,886,888,296,529,031,830,884,
677,626,643,248,347,070,482,462,219,607,886,870,372,202,028,535,933,453,121,
734,771,846,387,409,271,633,930,599,319,878,868,841,533,376,239,861,548,129,
193,868,668,907,851,545,214,667,397,497,033,423,844,200,664,351,302,170,713,
828,642,378,651,280,423,620,613,408,318,865,142,163,518,178,844,940,240,440,
105,396,393,102,067,877,734,111,809,820,859,522,439,786,109,394,914,070,295,
984,792,682,972,347,218,353,791,747,327,045,165,657,359,556,397,235,402,189,
056,329,716,259,559,667,822,880,882,048,473,379,868,340,005,291,987,038,380,
387,918,220,879,996,945,875,551,924,833,560,949,023,930,337,241,932,156,952,
467,584,635,656,821,536,716,408,940,193,590,591,223,614,320,084,596,320,571,
386,054,442,389,266,755,465,723,232,814,575,763,259,298,770,258,962,245,931,
326,316,840,669,819,020,725,502,821,220,872,543,644,062,744,000,873,944,090,
269,461,102,044,033,414,935,956,375,190,094,667,022,779,960,357,662,355,378,
495,856,385,782,503,579,887,887,990,244,467,396,494,626,756,108,761,749,956,
760,627,948,654,793,624,848,166,250,460,493,714,059,285,787,854,130,470,018,
997,587,220,183,453,264,619,777,466,283,465,622,826,772,546,239,707,842,559,
683,864,571,910,311,483,432,110,391,755,115,848,327,499,334,055,105,712,705,
182,059,503,760,805,919,614,563,456,512,833,344,747,333,207,610,903,573,184,
154,241,367,777,297,555,423,605,025,861,552,595,247,456,921,300,222,552,969,
720,838,130,900,420,806,138,102,138,905,503,208,936,243,354,027,038,039,246,
604,871,192,895,976,143,873,958,049,454,007,443,755,639,908,933,183,920,285,
312,540,723,156,368,952,880,082,685,681,700,300,694,072,872,683,655,041,051,
791,149,592,557,453,054,054,548,647,707,358,274,642,711,461,616,107,997,338,
504,888,544,315,355,464,202,658,831,043,041,002,530,898,731,503,427,199,893,
802,660,341,143,185,339,183,919,498,178,899,732,018,532,604,784,418,926,906,
285,391,956,486,024,337,167,504,118,838,685,593,277,277,245,800,848,173,330,
247,331,715,744,312,958,956,206,916,918,172,445,935,067,028,123,223,405,507,
660,992,680,642,653,730,243,023,040,848,224,742,091,245,224,217,451,874,110,
555,272,649,749,913,400,330,080,653,322,020,522,117,248,044,838,459,436,755,
244,162,395,783,316,533,520,242,059,305,536,411,910,382,902,079,848,596,134,
308,796,162,736,552,159,368,272,532,423,738,743,502,842,742,793,718,301,544,
473,363,116,414,074,524,369,138,804,012,633,926,412,473,198,454,288,112,824,
132,761,499,004,987,459,109,419,686,431,011,214,745,799,528,761,537,607,893,
895,400,258,736,513,096,124,692,524,099,061,261,986,217,537,407,270,313,496,
357,616,015,849,287,274,585,305,635,482,449,321,941,746,521,879,230,402,118,
915,200,076,532,031,907,952,152,547,278,295,051,867,703,765,375,582,271,158,
604,604,868,935,594,685,292,365,312,384,205,879,105,544,676,569,462,180,224,
832,095,725,390,222,192,336,338,150,164,667,199,617,271,202,184,356,496,022,
972,127,668,776,748,329,450,718,667,738,068,643,905,205,465,561,419,962,383,
453,234,716,808,254,665,664,192,418,392,158,675,380,427,636,955,132,403,299,
618,968,067,627,073,640,769,121,285,463,652,576,694,871,920,104,305,842,317,
293,786,285,418,969,559,329,865,390,351,678,494,761,269,632,395,841,129,274,
732,215,866,442,414,993,963,867,951,041,051,556,815,170,860,020,290,327,766,
449,549,072,218,642,075,515,550,341,429,100,319,999,394,865,359,462,014,604,
128,731,605,052,523,096,314,825,726,567,300,998,583,634,825,140,529,692,463,
429,246,754,232,074,881,813,655,720,437,883,949,396,296,347,935,822,017,201,
228,468,546,433,109,536,853,294,051,732,831,691,278,082,147,630,065,985,770,
311,880,347,809,495,355,274,501,284,431,999,916,194,397,765,944,486,971,628,
705,489,202,762,725,486,329,046,631,983,790,487,041,785,791,682,157,407,709,
088,010,930,189,596,977,953,017,180,992,859,758,069,567,983,963,559,402,230,
741,066,408,295,566,790,152,670,367,893,602,880,063,548,556,409,369,562,563,
865,334,721,827,014,332,891,786,219,801,469,615,400,022,148,079,580,108,026,
315,891,400,907,473,331,350,644,258,603,065,461,197,057,282,483,697,870,059,
944,223,160,592,562,393,642,817,772,450,873,850,037,503,074,578,167,628,134,
336,723,707,825,670,303,855,182,088,340,141,705,728,488,634,925,160,710,440,
172,537,057,610,478,686,371,566,389,777,796,851,638,997,759,025,678,692,662,
042,102,486,870,989,720,399,174,264,549,695,386,575,419,988,566,272,500,942,
362,165,077,044,831,303,546,321,371,516,707,559,278,188,939,079,029,066,486,
893,179,971,220,553,373,355,517,395,597,788,882,773,446,478,391,602,976,715,
142,104,793,158,893,825,599,822,932,404,794,236,185,151,727,540,579,132,642,
496,510,096,276,052,770,780,528,650,468,534,334,406,826,397,672,817,307,629,
211,226,195,470,441,126,934,912,551,371,156,895,476,408,437,103,848,564,650,
109,175,422,058,534,711,851,278,509,987,199,984,030,920,463,582,475,217,474,
071,723,418,666,935,047,069,513,491,514,513,260,033,862,051,291,003,730,666,
820,669,735,385,706,417,455,388,837,790,919,566,937,619,433,344,702,823,248,
996,629,775,846,745,415,198,048,168,325,355,104,506,935,297,810,664,810,525,
897,796,171,196,810,865,736,856,411,639,045,188,457,750,842,851,604,786,546,
899,385,710,666,536,717,126,914,087,005,754,976,065,337,689,025,297,993,098,
672,970,037,823,432,000,170,782,543,582,476,379,178,763,976,575,494,768,777,
588,782,874,550,566,915,851,221,113,597,997,186,426,258,688,534,868,837,504,
142,134,406,576,604,488,801,011,901,340,367,656,713,742,234,500,082,183,833,
670,481,364,608,406,905,323,727,767,844,084,151,469,207,223,226,018,625,473,
140,857,989,486,384,344,694,968,570,468,645,765,592,305,551,026,492,254,800,
372,115,045,209,189,163,547,787,801,866,656,680,614,959,422,956,450,125,296,
476,311,760,115,818,427,697,954,192,139,053,828,205,932,885,402,599,074,602,
263,494,026,570,916,261,555,827,223,784,617,750,751,263,162,127,937,293,848,
477,462,392,628,596,378,491,138,177,872,703,668,028,879,996,447,446,894,590,
397,550,480,150,972,968,567,981,123,742,263,202,205,487,808,044,215,872,485,
624,563,443,179,077,963,279,962,071,781,605,287,606,308,117,473,716,326,497,
668,586,074,976,320,341,966,749,457,675,177,704,301,982,938,338,438,054,127,
338,452,331,373,104,267,202,738,293,656,719,516,597,399,446,771,348,170,376,
340,212,314,873,305,347,250,796,385,524,458,336,870,012,862,862,455,837,623,
562,710,473,594,176,091,394,796,448,396,306,448,878,570,830,645,669,363,629,
855,392,357,737,247,945,807,043,965,129,189,198,603,008,845,373,669,392,366,
386,901,861,810,831,314,723,252,471,346,061,522,136,447,779,594,567,562,720,
451,095,321,885,867,707,822,783,948,935,155,793,445,736,772,414,642,536,338,
537,962,122,053,948,723,908,729,300,102,192,733,227,382,787,892,652,342,190,
676,562,831,637,332,354,008,457,475,871,279,119,407,594,614,989,532,374,347,
900,930,890,694,007,464,884,278,357,102,487,671,564,938,808,878,029,862,021,
351,255,757,000,813,007,822,578,231,403,232,872,226,279,284,753,432,789,980,
981,921,908,463,406,162,945,642,394,279,942,765,712,809,204,203,543,076,238,
022,819,197,662,580,577,839,013,837,789,075,931,638,137,733,086,258,897,320,
377,295,701,562,090,823,448,999,530,252,277,663,647,627,120,261,180,318,366,
163,329,617,121,126,376,538,309,550,658,394,814,325,255,277,853,731,776,470,
851,305,721,604,197,509,490,572,110,468,407,797,635,295,342,746,458,124,389,
810,422,314,504,324,017,559,880,698,535,922,900,181,862,952,981,686,981,954,
226,143,082,785,459,591,140,622,307,419,764,825,956,366,882,742,314,762,000,
871,123,052,630,536,431,628,505,601,796,605,113,039,161,820,776,507,605,959,
363,657,367,160,724,084,905,054,004,458,316,742,320,444,213,345,887,234,215,
973,169,934,902,665,381,280,988,400,221,624,242,124,169,041,651,999,113,471,
606,347,143,962,131,104,870,884,753,841,331,066,436,378,227,586,188,189,545,
083,758,068,013,421,787,987,949,981,659,119,478,088,285,861,490,831,161,834,
540,970,322,842,414,888,823,505,195,326,402,688,007,624,939,443,065,166,652,
214,715,974,065,326,993,440,798,678,291,154,555,386,742,681,834,387,147,422,
758,493,047,941,447,613,772,426,326,826,729,421,779,572,389,716,055,107,634,
622,936,050,464,433,321,092,978,042,211,409,974,653,310,976,854,531,990,351,
480,282,064,359,051,811,025,688,099,456,284,556,901,542,276,575,479,537,553,
020,707,590,581,371,234,598,610,305,068,371,336,876,206,773,838,663,467,383,
151,177,730,049,211,146,226,025,543,944,079,818,834,869,106,143,535,846,850,
937,515,917,454,556,001,016,501,345,873,458,841,038,708,455,868,240,684,907,
678,492,708,246,382,846,680,185,951,780,793,987,932,974,310,811,601,504,095,
491,009,826,006,707,538,896,261,070,372,733,826,915,201,711,035,563,166,820,
274,088,477,667,868,759,376,958,386,945,827,701,362,552,548,479,964,193,865,
581,797,145,327,223,055,749,114,164,802,644,831,218,691,370,799,724,905,140,
521,887,945,426,528,260,018,695,753,271,106,869,305,092,680,112,311,919,670,
212,788,514,317,277,053,910,986,042,151,152,571,176,881,550,904,136,257,055,
814,864,068,044,276,918,706,700,346,308,196,231,978,211,498,796,470,563,660,
132,571,633,801,891,418,395,391,857,256,994,737,086,026,420,607,551,653,824,
342,078,618,520,046,125,988,769,391,704,082,116,337,242,090,406,774,052,021,
985,558,408,300,279,600,239,919,556,611,758,288,382,110,613,231,388,412,664,
777,365,427,244,941,976,269,041,612,226,174,047,078,446,617,383,607,434,549,
569,912,681,541,824,056,958,791,505,899,225,287,231,594,134,389,495,002,221,
955,705,350,274,063,781,467,439,832,061,629,283,444,804,730,548,610,260,275,
435,163,717,704,431,557,222,963,001,962,700,812,923,349,321,653,038,332,583,
818,834,742,949,353,832,211,650,641,839,010,433,206,373,759,046,882,051,793,
187,030,645,699,576,772,859,058,688,061,895,411,644,866,951,314,123,802,495,
351,857,715,268,927,064,799,854,187,494,284,078,429,313,043,986,604,644,050,
966,629,898,869,292,774,557,972,082,172,770,625,259,967,208,995,532,989,314,
492,690,750,368,449,467,461,145,818,471,411,907,683,054,509,288,351,555,703,
611,797,972,343,228,548,331,846,759,259,215,533,303,541,393,746,176,212,404,
208,621,043,444,092,702,381,099,395,555,451,048,409,944,379,110,395,174,965,
652,131,242,446,837,117,163,012,354,668,082,205,037,715,150,761,761,901,703,
812,758,780,695,512,288,045,774,784,302,870,824,148,684,416,616,719,090,725,
461,546,230,473,359,676,303,923,940,513,628,552,868,215,509,367,112,403,898,
218,541,558,857,260,218,561,759,051,337,546,911,960,324,721,769,404,702,256,
615,677,934,544,903,761,211,103,198,585,490,116,531,661,311,978,570,134,878,
042,361,281,813,719,290,518,863,118,608,260,815,905,819,012,989,464,543,961,
258,491,946,853,130,967,385,883,612,729,852,353,078,947,113,587,992,142,663,
989,317,785,923,207,422,199,160,625,235,398,593,177,512,426,479,271,751,336,
279,665,894,647,167,069,383,124,906,148,398,032,984,858,039,298,060,406,576,
770,083,664,133,589,508,243,848,964,311,035,607,853,497,984,220,254,570,599,
460,807,041,998,005,511,012,746,083,769,586,843,964,046,578,398,060,163,702,
695,294,969,270,112,227,933,347,764,598,437,137,975,637,033,359,227,003,733,
858,491,972,354,824,594,588,508,132,590,257,886,228,353,013,341,292,902,133,
429,181,670,240,751,025,301,985,964,452,549,038,568,479,957,296,862,827,408,
312,637,007,630,985,856,429,322,806,211,531,308,898,294,061,130,417,834,696,
707,193,697,001,127,906,452,686,669,992,003,188,007,503,572,170,153,583,657,
195,215,288,009,356,694,498,296,561,934,728,313,411,200,135,878,188,999,496,
394,331,404,873,598,734,742,151,731,555,438,744,922,184,676,464,163,878,321,
533,978,214,515,500,328,093,174,669,290,975,060,923,647,360,494,082,566,207,
823,203,539,383,478,410,883,942,016,491,483,638,241,637,940,889,643,472,551,
313,492,579,104,825,681,921,820,999,073,996,925,502,889,943,075,885,262,693,
422,658,651,006,209,262,902,047,589,376,149,230,975,838,771,223,098,804,893,
203,889,876,064,074,589,270,337,182,018,647,143,879,432,228,456,576,379,262,
479,612,252,620,202,723,746,824,045,706,449,250,941,847,872,763,498,777,125,
714,975,351,889,892,343,261,297,097,806,843,370,630,442,211,332,543,064,778,
112,460,778,607,984,777,400,152,773,947,199,303,532,491,516,034,723,578,260,
875,817,317,660,260,865,839,225,878,139,939,855,438,715,941,690,275,433,057,
017,760,632,915,982,045,499,193,254,849,718,772,036,035,002,710,742,733,204,
783,270,894,180,001,617,544,201,396,429,901,635,020,805,964,056,812,097,230,
552,146,456,688,620,292,234,561,381,999,999,850,130,877,780,336,498,224,738,
191,743,107,211,590,098,915,844,876,042,804,464,652,979,819,239,801,146,979,
809,998,650,749,601,124,100,631,598,432,597,263,402,575,834,715,796,259,983,
968,927,746,730,872,461,560,991,012,758,766,021,197,327,277,591,504,916,716,
566,997,863,268,866,379,651,757,722,011,384,233,994,710,180,616,123,073,853,
965,616,561,748,103,883,653,071,417,320,174,031,097,108,119,638,475,695,309,
894,245,539,526,835,367,157,982,967,334,926,267,110,644,967,281,300,460,613,
732,158,704,329,342,509,854,173,798,265,763,681,248,910,857,512,407,715,419,
425,355,426,106,129,068,166,779,632,139,451,392,273,606,375,213,699,324,056,
163,742,173,707,585,263,456,129,034,337,390,577,793,688,502,534,269,561,562,
317,579,045,711,718,298,676,247,965,409,650,027,200,022,653,915,430,020,113,
731,309,063,940,318,940,284,601,646,726,754,689,630,578,792,386,051,517,450,
118,243,724,658,755,376,545,908,860,631,352,094,591,506,495,389,126,920,867,
330,221,879,011,969,205,540,220,058,116,946,290,537,466,901,691,340,975,679,
284,810,732,281,287,313,643,001,863,995,216,092,352,953,770,475,637,324,029,
699,177,411,666,173,176,834,398,510,637,164,300,877,069,540,748,872,175,130,
393,351,726,667,439,393,756,396,164,941,730,121,419,053,404,454,207,674,310,
438,027,214,595,209,030,964,350,387,540,787,325,537,251,851,722,371,434,015,
405,507,108,005,568,311,710,597,182,270,836,798,264,137,356,925,739,534,603,
070,446,449,005,138,787,454,671,478,707,486,498,752,210,144,884,042,964,526,
307,863,478,734,290,222,555,143,501,849,247,324,382,066,023,254,592,253,602,
635,255,157,077,367,791,300,966,587,556,863,642,172,803,602,171,912,647,665,
911,445,519,417,499,809,222,539,501,701,028,585,376,302,522,116,920,327,624,
375,872,110,207,809,965,590,138,571,348,663,942,113,059,464,352,090,743,238,
830,427,799,693,194,157,969,388,509,003,599,678,873,294,025,638,465,456,321,
928,997,797,945,355,959,442,211,561,524,268,133,716,706,063,908,764,120,529,
667,914,314,069,735,000,522,379,874,351,443,602,929,597,187,702,287,809,874,
913,884,246,668,486,399,885,712,585,668,540,621,476,134,744,443,209,712,670,
956,985,720,761,973,221,953,695,756,257,350,555,949,358,561,379,391,616,539,
794,886,055,623,353,002,670,800,326,944,593,562,630,528,513,114,211,777,965,
821,126,483,459,820,376,011,140,412,618,109,629,216,716,554,876,931,192,173,
529,424,332,044,102,150,159,065,051,354,455,960,725,470,699,086,365,648,183,
948,008,142,633,073,769,878,522,248,855,525,121,628,489,272,794,309,555,602,
653,848,516,875,889,898,523,154,131,591,149,006,894,944,621,889,846,347,287,
703,149,538,342,766,150,245,538,184,127,012,747,683,187,216,948,291,283,021,
616,429,925,245,550,948,006,660,253,759,993,568,719,469,586,023,825,508,491,
081,887,256,769,386,024,733,435,870,165,908,988,186,302,594,441,518,867,922,
975,220,770,421,514,897,408,963,337,116,885,687,890,242,253,758,193,509,015,
843,888,742,330,456,897,597,240,684,368,020,502,759,323,938,972,893,133,098,
110,477,722,364,631,206,185,506,165,351,741,228,068,304,533,075,057,671,795,
903,951,838,915,536,283,531,807,274,075,374,762,010,279,983,856,178,654,719,
787,295,966,274,960,969,895,736,743,599,936,798,047,717,618,173,710,959,894,
452,355,589,983,608,223,028,187,553,814,207,530,733,717,958,706,518,307,972,
789,374,505,383,414,339,723,697,505,837,937,699,346,456,006,794,257,628,828,
531,913,139,692,616,986,776,485,233,934,573,805,335,722,204,215,795,655,719,
340,173,684,000,293,112,313,316,022,070,964,892,309,221,654,661,215,237,516,
135,143,063,557,737,567,719,437,863,344,533,199,535,768,157,063,940,499,874,
243,654,843,134,876,836,244,447,319,112,381,538,064,139,960,480,891,280,136,
939,404,177,085,236,825,485,203,604,539,524,984,162,239,300,988,970,639,282,
053,672,735,756,429,354,659,006,340,149,147,822,232,207,466,591,907,953,899,
476,319,995,876,877,620,214,212,164,462,503,669,550,297,817,890,924,821,932,
282,238,989,674,586,213,893,708,878,137,757,908,402,951,090,677,462,806,097,
659,319,400,480,888,979,036,861,351,042,980,038,203,329,663,946,097,143,532,
000,983,444,920,857,879,422,071,267,372,195,248,091,383,167,969,836,805,641,
379,364,300,801,981,859,719,858,817,064,940,839,193,208,512,334,304,992,750,
972,829,990,481,236,494,419,861,917,823,506,714,171,888,380,078,613,623,367,
145,560,948,062,445,980,775,116,411,562,949,358,370,708,604,313,624,668,062,
729,278,828,202,121,230,091,961,273,543,298,518,695,446,833,044,235,933,838,
975,876,567,211,416,947,124,175,564,170,490,846,626,083,762,394,361,351,944,
892,522,800,590,847,956,658,289,895,652,318,813,188,147,296,279,277,494,577,
274,937,439,450,057,660,972,616,084,368,078,467,161,954,232,123,989,497,845,
081,469,766,585,246,112,624,298,562,428,586,184,412,795,384,671,305,587,543,
674,485,450,427,324,195,645,410,116,591,340,531,828,970,562,947,261,284,315,
711,533,525,468,822,640,396,504,375,579,895,537,274,755,261,781,947,266,697,
181,670,946,448,040,525,215,096,235,534,645,447,758,745,318,904,147,171,789,
518,727,239,421,961,319,030,547,544,909,982,575,652,478,147,022,025,121,330,
650,205,527,755,273,782,290,274,376,685,585,155,716,092,298,312,610,098,727,
541,893,311,397,420,825,860,919,184,257,228,055,569,450,394,876,362,840,386,
099,621,701,696,167,780,668,334,975,461,025,326,494,390,024,042,313,843,455,
752,432,433,919,131,605,626,657,634,992,563,816,061,113,008,934,739,848,685,
261,550,791,467,506,131,700,209,957,533,252,232,700,645,507,605,460,471,265,
939,764,633,180,491,403,128,590,928,198,466,320,172,578,322,142,928,649,187,
589,533,038,423,004,302,320,799,818,653,413,677,773,479,116,146,150,188,642,
802,687,470,187,829,346,341,298,575,202,781,554,278,366,072,966,032,990,319,
040,113,125,043,900,133,422,145,077,251,170,353,748,219,675,151,050,171,369,
880,183,042,253,050,640,265,827,966,929,157,555,186,380,341,705,520,282,350,
453,134,383,363,421,793,022,632,207,027,935,677,899,428,924,118,817,456,541,
767,548,097,680,222,305,957,515,714,930,695,296,715,368,825,260,772,572,390,
674,313,997,586,501,150,783,274,120,480,191,705,167,235,745,835,955,168,058,
935,995,377,111,793,168,246,960,679,119,284,848,848,254,503,786,710,828,698,
840,576,241,453,119,501,453,151,294,859,856,934,527,913,237,308,228,721,368,
601,457,856,840,428,486,606,264,948,887,437,079,869,876,386,919,915,696,491,
325,699,174,392,065,287,277,121,561,607,649,930,396,588,256,048,201,645,485,
611,059,076,974,958,437,326,279,696,627,485,973,408,997,168,996,691,117,517,
445,500,905,687,901,750,751,652,882,533,285,840,398,294,367,324,885,683,640,
217,447,192,449,877,944,721,416,138,276,707,839,797,246,150,623,052,289,719,
755,362,434,067,411,025,991,986,249,679,416,057,737,226,640,014,844,329,119,
894,894,798,414,972,958,665,967,155,537,743,552,718,116,890,712,895,866,015,
784,871,937,094,262,433,379,705,508,167,473,428,413,123,432,084,360,205,688,
409,266,808,416,092,652,000,069,784,997,608,065,256,139,104,532,015,432,947,
320,763,639,367,583,462,773,799,406,924,599,135,916,418,545,063,292,407,255,
792,784,639,222,291,167,131,918,604,775,310,075,766,182,596,648,863,261,848,
916,890,829,220,895,619,193,769,657,416,847,023,592,347,872,972,171,176,769,
172,404,119,414,787,140,909,746,403,847,615,931,853,951,087,486,922,804,481,
924,904,054,556,544,243,955,800,250,339,743,589,956,274,291,555,903,157,325,
767,691,139,040,579,947,903,748,797,526,364,622,444,860,574,206,383,938,972,
137,466,659,945,633,754,618,775,430,029,452,245,769,317,238,331,935,495,828,
203,363,487,168,917,703,715,670,042,395,427,682,867,129,625,203,396,581,511,
094,841,637,986,251,183,633,578,032,866,685,750,687,302,347,479,501,696,748,
959,070,341,193,143,600,573,997,190,483,941,689,752,351,226,109,029,501,512,
541,487,899,987,138,982,573,357,087,286,217,160,195,830,005,784,974,442,611,
473,921,756,632,985,774,776,043,574,084,539,168,146,111,435,643,270,095,312,
275,083,122,941,364,275,149,681,579,875,483,736,230,386,064,151,553,646,461,
808,774,734,791,035,293,899,288,722,298,429,190,886,650,771,253,694,336,396,
419,392,317,394,246,882,795,131,339,701,427,124,111,964,312,063,360,572,458,
488,611,666,223,270,440,556,272,877,959,131,443,752,982,159,225,662,102,674,
278,477,006,091,490,882,954,089,033,609,466,700,496,862,795,337,323,072,000,
499,914,735,525,359,097,539,526,832,389,098,247,984,825,666,576,119,435,345,
837,407,241,091,990,750,921,152,920,131,809,340,841,914,485,984,472,787,787,
664,152,732,205,236,558,629,585,136,232,213,293,836,579,885,948,542,298,589,
747,399,202,878,816,980,185,023,341,830,078,163,460,340,304,315,433,047,172,
616,259,115,310,083,033,122,288,132,369,680,942,809,327,807,299,827,959,329,
040,608,484,503,225,089,405,117,394,739,275,504,480,271,877,949,945,910,358,
328,390,708,263,840,332,947,576,957,948,469,751,176,437,314,194,562,615,606,
094,736,668,178,599,879,909,798,348,081,604,596,364,756,887,764,992,013,760,
498,631,202,793,565,586,973,447,757,256,611,527,974,915,601,008,384,201,801,
923,286,285,203,616,869,950,398,569,909,221,856,478,195,346,478,582,671,760,
294,938,594,256,094,180,343,407,246,046,482,050,225,271,239,774,210,542,985,
402,728,757,161,044,101,858,303,691,655,899,001,534,851,012,608,375,923,773,
261,341,226,546,502,042,158,886,829,585,236,920,557,990,194,717,600,115,292,
708,194,463,803,480,793,346,510,180,376,846,702,643,217,658,673,509,918,789,
313,437,088,840,085,820,645,199,821,754,707,588,520,341,213,051,640,470,223,
234,897,869,819,334,462,443,073,984,278,164,383,412,047,871,850,455,756,554,
722,859,642,904,528,762,378,026,289,327,835,047,254,314,176,150,718,443,470,
847,945,588,005,376,674,138,064,221,467,249,261,306,774,222,464,498,372,672,
450,564,676,133,814,601,179,858,132,644,773,782,092,492,115,089,689,606,016,
210,830,278,803,579,504,164,481,396,185,121,087,753,992,920,200,446,727,768,
529,564,200,853,808,316,412,599,747,907,242,531,131,641,507,523,742,737,193,
754,415,573,032,233,801,997,925,837,026,434,675,218,336,239,195,523,102,787,
985,165,243,341,597,707,522,145,321,243,836,432,890,456,468,597,047,079,767,
600,197,349,425,039,389,603,844,030,156,387,589,872,101,977,443,815,765,838,
527,697,743,217,454,318,624,455,104,807,001,111,059,471,273,622,939,190,359,
168,344,074,577,073,852,978,944,624,998,445,750,269,505,174,915,832,954,553,
843,745,948,108,918,366,758,909,200,246,799,793,472,897,534,956,894,425,749,
315,646,562,132,397,201,771,240,684,828,150,077,342,275,799,154,791,507,138,
669,550,368,657,945,046,226,441,830,133,231,207,548,203,976,895,123,080,464,
071,969,071,559,579,801,910,523,876,660,309,966,130,495,767,067,596,540,548,
601,805,649,508,953,147,232,910,315,435,676,811,214,931,622,654,450,605,289,
429,589,122,871,906,027,985,166,650,471,938,710,063,680,200,668,330,944,065,
439,707,943,151,940,789,534,163,564,408,847,303,172,351,459,227,256,503,532,
042,300,252,511,331,727,073,240,592,509,568,816,255,929,700,697,600,876,911,
419,787,857,605,039,306,579,448,784,622,056,146,177,726,717,698,700,250,746,
505,000,438,288,943,647,505,255,898,066,354,437,151,686,562,863,397,469,904,
796,946,780,703,000,714,497,641,416,810,196,000,843,426,399,317,280,765,849,
588,501,582,256,449,102,375,413,960,147,360,933,996,775,171,099,100,803,309,
289,172,405,573,108,254,776,875,795,805,455,061,542,874,000,582,111,845,958,
408,715,144,350,945,551,216,596,946,247,289,746,538,033,664,802,061,762,106,
941,696,627,341,553,380,321,068,426,639,868,909,548,693,882,928,836,245,859,
306,493,158,146,223,204,822,926,337,225,487,782,239,002,634,372,998,398,647,
814,613,551,734,785,340,121,907,054,075,156,116,277,123,954,585,778,436,651,
718,314,468,551,136,221,546,822,522,062,797,070,826,833,840,604,156,731,028,
671,521,803,471,313,657,336,222,989,598,934,431,599,929,807,630,732,485,128,
579,461,810,459,428,984,704,079,323,347,552,477,862,835,413,565,795,945,664,
047,371,541,566,413,888,637,448,795,527,131,333,242,091,157,374,809,697,357,
567,436,175,277,980,218,009,191,102,528,952,966,547,421,339,864,081,996,742,
590,841,361,024,342,705,818,494,204,588,841,871,321,261,605,355,596,155,667,
120,741,481,092,341,911,934,977,656,202,938,906,574,657,236,948,241,211,695,
394,111,933,242,732,489,943,627,373,588,434,852,231,841,981,738,811,985,264,
349,685,739,967,319,978,588,772,869,695,433,386,676,656,590,821,349,794,252,
243,315,244,171,556,015,621,702,537,554,970,101,836,907,944,242,719,363,526,
277,179,306,150,446,878,409,778,524,608,022,299,934,061,203,029,341,911,907,
577,300,752,997,798,592,434,108,265,671,726,851,827,039,231,835,131,684,645,
414,366,769,130,406,441,138,168,386,743,162,546,710,870,011,756,966,631,264,
865,197,262,780,812,955,043,054,234,833,734,642,806,959,385,155,757,052,698,
767,654,044,662,974,900,349,991,687,173,306,043,252,269,273,415,638,825,362,
285,524,726,209,810,134,078,698,005,186,767,122,440,937,905,699,451,804,401,
440,722,524,596,426,002,225,266,099,198,218,513,404,626,542,892,396,295,303,
274,034,548,117,708,830,009,448,654,925,346,364,728,133,854,019,355,603,368,
965,292,743,618,837,106,993,642,903,767,957,212,726,268,955,034,904,568,390,
836,714,152,326,090,672,171,239,350,958,914,707,558,547,823,270,465,365,530,
305,938,211,496,619,229,414,295,895,795,808,543,939,317,135,601,037,145,485,
972,937,295,362,169,714,248,576,795,753,107,304,198,721,539,345,906,770,111,
041,140,615,584,772,133,822,667,648,671,899,787,157,683,100,489,201,691,324,
773,287,110,108,358,066,568,587,509,235,330,538,194,969,733,870,098,818,570,
473,340,440,071,899,580,464,160,353,662,084,248,064,100,054,347,106,699,931,
120,285,887,228,509,629,402,965,625,263,752,376,431,754,663,304,015,846,105,
437,160,169,825,529,591,410,563,673,874,112,062,730,947,960,389,559,429,885,
230,042,374,609,583,122,801,983,497,631,474,710,230,136,446,067,586,254,090,
715,397,689,758,727,920,157,868,906,548,618,826,810,179,760,323,460,380,069,
553,718,109,552,886,533,423,627,757,757,141,249,108,073,923,803,992,206,647,
331,500,549,730,969,433,226,817,846,770,425,025,863,803,870,074,835,814,960,
760,681,067,183,726,308,105,172,298,814,647,025,175,818,011,923,527,742,471,
595,484,443,465,130,800,078,669,916,790,960,257,141,840,026,903,756,614,151,
025,387,593,197,955,285,336,112,234,612,812,908,226,697,742,401,093,856,637,
415,486,435,235,082,810,579,019,460,238,052,958,254,084,767,614,922,454,981,
745,917,605,772,080,541,736,281,280,956,406,469,636,435,632,944,956,327,878,
588,100,229,307,464,601,981,275,527,398,618,037,526,512,791,512,356,529,693,
848,173,580,984,943,942,628,806,426,708,120,476,520,090,342,800,869,700,721,
901,252,286,487,595,009,079,865,328,689,631,393,676,929,750,291,402,298,538,
065,394,576,038,206,796,246,392,592,242,182,737,453,859,534,359,448,964,965,
144,115,049,202,047,669,359,991,181,293,346,134,179,736,381,014,143,429,757,
363,681,393,164,996,801,581,871,444,744,525,286,165,407,019,879,440,785,161,
596,132,815,810,087,994,850,901,994,608,809,750,074,247,466,856,576,909,291,
136,374,508,017,879,812,342,608,832,816,547,861,664,645,490,551,632,438,285,
781,315,715,661,438,127,000,292,985,578,720,108,219,702,143,264,884,677,993,
422,302,586,815,032,789,950,520,707,641,386,563,058,195,246,121,480,582,930,
509,293,623,726,145,816,725,767,945,088,902,747,631,134,232,091,879,892,702,
442,201,147,072,069,956,931,703,966,115,737,971,774,773,038,067,131,076,095,
060,737,763,931,452,744,528,316,582,740,634,821,933,294,593,916,394,305,258,
557,152,327,255,283,501,914,372,015,419,129,848,300,566,462,249,887,084,247,
851,537,194,111,781,752,710,850,161,960,463,540,134,131,773,254,582,811,677,
889,042,142,967,293,276,000,308,879,492,527,129,225,015,674,080,118,164,883,
045,079,255,921,294,665,865,462,209,975,833,622,490,234,529,923,307,868,023,
862,945,301,831,135,621,207,786,975,241,909,415,991,017,099,918,847,325,233,
326,952,559,610,315,748,268,567,606,965,865,302,097,528,643,117,717,499,432,
538,874,633,551,226,209,215,235,624,053,925,849,117,388,153,445,692,097,356,
816,946,882,834,630,002,411,320,473,720,600,776,403,837,922,513,861,380,623,
476,710,514,341,146,940,439,147,303,408,647,461,736,592,435,206,553,304,749,
779,576,711,141,259,411,683,980,102,833,083,361,014,040,538,373,684,940,650,
108,683,228,336,619,418,277,086,997,468,134,593,290,506,390,626,231,549,047,
162,728,937,675,515,823,812,364,327,997,121,073,855,520,077,069,605,253,649,
530,750,306,478,194,239,874,796,689,634,695,080,194,130,662,941,010,038,176,
455,038,266,183,800,359,900,399,938,009,655,507,351,492,559,618,920,841,896,
940,428,310,857,599,436,025,784,381,594,603,173,888,271,097,245,425,104,336,
611,725,225,203,832,116,607,366,186,011,379,361,243,592,984,577,556,769,786,
358,114,126,735,173,930,997,614,994,650,713,536,929,829,781,451,330,810,740,
413,487,162,719,003,748,052,737,251,944,867,520,310,821,893,245,125,349,339,
287,697,314,253,682,287,087,775,593,880,333,628,161,128,043,905,104,240,285,
442,050,870,518,316,413,789,209,266,502,657,523,815,275,790,923,412,205,287,
225,108,191,097,985,668,369,750,803,255,362,112,303,395,432,548,858,969,115,
976,092,813,840,759,081,783,701,007,988,736,972,966,982,593,990,148,125,618,
409,119,041,584,442,037,200,550,211,673,181,167,994,860,950,966,878,448,821,
385,862,784,560,446,405,226,995,720,148,353,160,460,263,199,274,440,344,241,
857,962,002,320,047,403,676,973,708,251,170,186,804,733,710,611,716,970,115,
394,021,704,161,731,038,219,675,819,146,068,545,524,958,104,996,469,633,095,
959,528,491,324,575,336,982,108,725,226,084,634,538,904,456,404,281,943,568,
223,264,292,810,094,897,357,014,305,516,373,553,501,635,877,629,986,053,342,
269,476,293,403,641,715,136,488,800,650,573,618,231,338,884,126,557,301,792,
359,722,217,923,579,642,382,718,414,672,165,010,191,865,086,149,494,689,164,
532,029,107,449,061,739,424,558,109,446,265,235,070,112,152,755,294,169,782,
433,081,421,632,029,622,126,130,281,255,430,500,584,998,309,699,175,332,292,
340,380,998,982,607,978,310,384,727,924,741,129,742,499,527,358,306,444,921,
568,999,618,426,012,703,409,411,874,031,587,216,748,243,522,774,973,272,294,
449,208,107,305,491,025,329,039,073,522,262,861,942,560,610,220,748,733,734,
695,990,306,289,549,645,650,319,433,107,658,497,515,353,491,968,352,174,910,
435,705,434,758,528,401,331,889,259,481,952,019,533,150,593,835,403,600,886,
767,311,477,218,255,469,997,898,643,165,388,564,578,481,809,800,822,902,393,
798,911,245,531,036,693,230,113,886,618,977,663,327,251,259,892,665,671,868,
103,756,634,849,232,376,507,905,991,791,349,784,127,058,186,535,444,194,300,
227,891,099,653,409,034,394,458,857,086,131,460,654,876,673,849,415,358,972,
979,436,039,770,174,775,583,089,023,572,449,604,688,849,598,162,529,273,734,
074,475,295,651,121,571,716,654,750,447,524,256,131,059,552,780,296,444,072,
497,063,986,314,284,192,217,196,655,172,796,451,542,365,395,745,460,354,002,
651,419,424,458,395,879,644,877,592,137,718,326,921,507,182,453,211,245,963,
558,217,493,016,263,050,890,993,817,874,479,707,784,241,907,171,955,012,458,
962,310,355,588,953,185,302,352,372,394,117,781,168,029,573,543,183,766,837,
473,148,209,253,568,562,438,126,037,828,434,964,414,430,848,049,050,690,656,
421,634,772,604,288,895,239,986,896,437,642,344,304,875,236,528,700,323,521,
611,974,857,659,648,924,327,017,413,854,127,383,514,863,300,763,169,012,004,
650,351,468,930,089,958,908,063,724,957,981,163,798,117,855,536,549,293,908,
074,211,620,953,999,639,439,617,309,617,997,874,008,568,601,708,851,120,958,
672,937,167,967,643,433,169,094,335,053,730,202,591,571,102,099,883,518,965,
465,012,935,958,363,153,134,291,427,565,720,944,332,964,163,663,787,535,678,
289,144,177,691,502,846,084,546,591,107,627,129,357,893,140,467,088,844,287,
260,563,610,079,005,180,309,386,791,565,971,132,742,987,182,179,434,022,462,
878,852,819,680,376,079,065,791,669,395,011,916,942,141,092,686,955,572,865,
712,385,754,436,963,080,138,203,622,337,504,870,073,445,819,737,709,325,547,
003,065,552,220,717,675,653,018,634,873,467,509,903,182,002,060,418,990,113,
410,262,421,894,948,952,408,029,001,997,408,085,377,348,475,057,176,628,414,
397,497,034,099,083,376,648,760,289,808,879,215,381,559,035,249,022,692,479,
976,465,984,136,092,178,754,158,616,359,482,078,861,777,619,051,198,902,672,
937,882,424,897,697,463,624,573,252,330,882,353,850,802,511,921,779,152,791,
742,340,396,576,736,227,261,909,683,843,477,752,022,960,784,175,668,667,095,
367,232,347,097,276,079,540,456,534,951,682,884,139,922,936,053,336,798,664,
141,509,267,003,081,347,868,144,314,200,917,760,975,113,475,411,159,017,903,
669,840,803,029,758,928,410,381,627,895,380,823,301,348,076,387,912,990,658,
341,267,556,059,072,361,054,376,502,236,122,825,780,331,182,143,872,065,007,
656,223,399,625,395,157,936,730,452,752,426,712,655,313,913,887,769,331,887,
400,973,676,316,817,133,185,331,516,431,650,043,413,497,317,157,860,651,720,
834,070,069,977,936,417,662,320,992,294,276,879,890,721,052,491,459,686,169,
173,246,233,383,626,477,291,138,340,818,236,355,414,997,056,359,566,385,492,
747,020,707,787,433,447,083,656,580,653,992,418,963,756,301,599,606,587,933,
201,045,309,873,042,663,788,047,249,441,032,943,036,482,976,473,652,163,499,
532,944,713,776,562,641,974,272,525,245,330,688,224,783,907,039,244,552,693,
185,204,680,623,890,121,729,943,885,105,938,851,304,121,344,634,133,679,252,
346,897,739,894,771,508,228,930,206,733,923,782,893,433,137,540,252,268,708,
829,579,052,949,129,653,721,908,614,154,350,463,878,460,734,943,279,676,765,
955,024,745,680,703,719,677,501,172,001,164,462,147,598,282,764,269,199,750,
771,775,973,899,698,209,958,946,693,146,560,721,403,227,583,500,215,650,656,
281,634,128,406,843,427,565,476,196,587,487,112,335,802,941,733,992,834,314,
632,967,026,504,590,652,604,760,809,098,330,228,041,528,926,876,735,076,115,
029,905,413,589,182,120,900,916,438,603,382,180,910,273,855,826,036,698,749,
297,366,530,785,632,493,955,828,644,619,825,222,456,594,358,442,696,973,502,
870,179,303,153,058,226,490,588,944,718,187,421,414,382,741,621,259,039,799,
909,475,503,342,319,304,400,586,227,693,255,421,240,125,293,467,755,487,827,
990,775,409,934,635,696,396,018,623,461,617,992,819,649,074,185,789,411,651,
409,839,139,624,385,374,406,008,202,521,495,295,620,123,575,594,092,048,757,
934,426,486,936,275,252,020,831,427,041,661,006,469,941,579,752,698,343,059,
744,302,543,993,672,835,368,597,070,345,158,790,367,160,149,719,658,894,079,
832,689,983,240,569,779,202,252,090,840,040,183,923,066,260,085,271,215,228,
014,226,948,028,805,925,095,343,733,379,369,281,192,843,275,467,826,824,589,
910,266,176,679,082,253,918,473,264,395,889,398,324,597,573,891,833,514,331,
497,481,877,024,819,477,048,792,111,269,265,509,322,033,891,954,826,183,587,
363,637,960,886,754,948,701,316,662,611,701,688,910,052,506,694,966,399,751,
520,414,329,251,281,224,642,405,112,924,443,281,868,421,643,162,548,484,973,
574,805,212,048,561,941,873,967,037,542,372,716,544,733,174,021,839,054,730,
087,457,964,383,647,577,610,853,256,786,075,834,885,066,768,343,907,771,068,
592,260,675,835,928,681,779,239,062,552,157,584,206,825,402,412,823,944,850,
031,793,631,107,158,594,867,281,926,927,961,322,265,104,678,935,109,384,049,
501,907,242,593,300,943,559,416,467,628,074,279,178,757,000,418,790,229,369,
147,889,883,352,543,923,232,114,616,545,528,824,793,146,239,279,562,511,902,
730,897,358,879,370,072,378,365,742,063,049,604,691,769,228,121,758,706,131,
435,118,815,641,286,815,422,632,721,437,304,492,466,070,419,185,177,935,933,
936,219,962,363,903,744,171,450,995,895,145,941,064,275,358,029,533,285,939,
611,511,154,688,079,846,697,860,471,643,113,661,395,481,566,605,617,134,867,
704,523,313,755,680,461,569,408,121,084,371,288,599,236,189,786,971,388,816,
527,557,345,486,241,447,481,650,615,307,194,966,242,943,382,680,511,677,316,
209,770,848,445,259,786,716,839,288,471,143,842,411,946,741,232,588,162,083,
381,932,556,789,303,239,963,311,669,344,222,270,399,225,801,075,537,126,473,
190,290,734,139,305,327,319,322,361,060,840,007,326,770,104,477,640,050,307,
515,258,472,803,094,324,900,575,807,155,536,968,989,467,197,258,676,281,443,
989,221,258,655,514,064,657,722,105,448,659,233,814,400,631,998,981,850,396,
335,399,421,589,824,711,213,748,142,499,743,131,228,755,494,570,760,593,382,
879,286,866,850,922,363,518,897,023,053,184,540,710,326,629,899,652,023,058,
894,315,065,486,667,386,903,172,169,553,044,549,359,271,916,103,917,779,629,
598,287,918,324,500,363,239,113,316,504,000,147,291,589,360,818,253,758,161,
629,585,847,454,120,291,553,884,782,231,137,515,093,635,035,950,183,951,648,
858,235,936,128,151,434,998,571,096,331,102,511,108,835,932,981,068,306,550,
329,527,951,914,130,757,959,723,794,463,089,136,222,660,233,905,915,075,848,
233,344,460,884,784,129,763,669,479,335,850,408,909,393,049,270,934,484,114,
768,213,606,766,279,566,482,431,109,695,799,881,497,895,874,091,593,063,924,
320,596,585,115,295,311,821,364,989,853,510,203,259,302,364,993,467,447,752,
674,249,643,668,596,560,126,113,890,399,006,656,286,414,200,503,000,542,565,
212,905,532,742,507,214,201,852,517,508,432,518,598,614,013,137,974,271,242,
721,094,280,474,816,910,738,145,307,027,193,536,998,792,732,709,573,255,344,
515,235,033,179,687,193,925,712,492,519,993,411,894,884,275,726,200,339,516,
993,986,863,174,493,706,676,941,345,844,798,993,484,960,634,692,215,837,462,
506,391,908,402,259,573,353,270,667,688,848,892,029,772,369,297,873,800,030,
178,390,351,787,507,535,531,277,827,150,767,513,582,010,152,328,331,887,583,
288,144,518,618,555,795,999,966,649,134,680,423,739,831,904,064,027,417,841,
146,294,977,611,205,864,671,074,440,755,708,277,638,647,993,504,076,778,933,
937,329,153,108,619,165,742,661,558,427,330,569,670,990,574,284,167,536,277,
751,489,563,507,607,439,534,994,507,352,749,874,414,180,151,548,075,413,503,
739,345,054,052,578,431,214,949,771,675,046,529,145,936,564,426,660,804,992,
105,424,829,604,447,654,128,699,967,709,644,185,918,726,690,469,126,037,572,
021,202,912,619,876,274,346,463,109,748,581,389,084,817,328,628,626,783,062,
310,066,110,117,316,188,193,556,869,646,642,164,340,825,325,908,894,656,606,
849,121,515,814,365,128,019,023,177,006,838,419,002,658,981,324,535,064,589,
421,633,778,988,520,831,892,043,833,460,379,616,179,766,426,822,431,795,583,
498,496,779,524,165,913,886,699,565,184,283,768,342,023,254,841,512,248,167,
049,730,083,692,312,269,465,084,919,613,888,445,206,563,183,925,633,018,796,
286,447,729,898,995,240,663,508,210,348,592,526,137,201,750,227,568,751,340,
001,677,114,708,876,536,478,008,305,334,794,210,129,022,570,959,141,491,626,
618,692,383,266,467,513,934,811,155,669,983,317,794,739,633,222,304,668,256,
845,174,489,339,841,619,570,352,350,967,496,454,977,275,017,166,658,896,078,
206,185,209,051,307,740,210,744,721,653,162,743,121,029,656,354,048,888,128,
189,692,358,122,688,229,581,000,804,378,383,770,161,176,923,457,108,199,388,
017,093,670,867,858,146,408,191,929,080,490,374,433,425,194,771,794,442,667,
145,800,190,958,086,305,650,723,038,913,811,108,467,296,002,223,082,553,391,
540,315,100,210,573,986,815,411,233,960,019,754,593,910,279,356,291,720,994,
002,226,323,206,853,305,724,398,669,208,615,564,543,300,946,828,646,084,562,
649,181,779,497,746,116,773,870,325,896,591,907,320,280,336,499,386,253,468,
838,971,931,585,484,723,836,600,560,290,219,268,011,731,295,882,958,047,971,
863,365,756,574,757,306,798,958,137,958,053,244,386,680,553,260,110,948,509,
420,055,974,680,680,853,378,080,289,396,508,118,009,544,413,426,599,139,918,
822,408,677,660,475,598,861,134,030,998,171,010,586,624,240,667,846,912,452,
518,369,438,486,665,026,654,010,952,808,889,908,144,137,769,289,566,192,761,
616,761,262,958,195,602,504,256,357,539,548,091,180,659,234,066,141,596,097,
560,841,896,793,697,416,989,048,488,849,581,346,708,170,117,786,994,453,970,
673,394,957,292,930,592,217,088,811,751,244,040,885,214,931,428,722,261,328,
686,218,731,457,983,661,419,463,076,426,131,053,952,714,630,656,047,628,997,
120,810,981,850,530,150,771,094,162,161,423,448,519,396,430,748,230,366,835,
970,825,998,812,856,674,414,297,289,682,863,339,434,394,913,138,849,783,277,
997,910,281,749,649,970,494,440,764,219,331,553,354,392,257,918,946,873,079,
340,427,033,693,730,898,994,554,805,538,050,983,680,549,810,262,863,411,159,
006,148,295,835,971,835,143,581,210,188,925,624,637,354,786,949,412,872,506,
742,624,528,775,991,993,120,882,135,156,457,408,344,021,171,116,859,462,612,
997,795,407,890,682,382,734,309,977,204,893,147,089,703,337,986,160,943,962,
818,946,928,156,063,348,165,167,498,618,536,096,946,707,812,733,612,147,920,
443,634,520,956,248,956,773,771,592,786,347,763,349,507,407,799,052,380,013,
775,958,270,379,073,831,169,473,239,024,035,735,799,920,063,588,668,298,668,
446,735,827,754,646,300,285,573,373,395,071,127,712,706,778,554,548,303,438,
625,958,604,010,884,619,096,968,695,841,632,892,176,910,836,218,750,946,881,
662,568,516,147,552,903,804,981,790,739,005,162,477,016,135,028,086,369,968,
507,402,733,020,696,097,676,207,940,526,577,290,209,638,001,937,326,830,402,
531,912,778,329,357,396,746,095,183,369,645,400,745,155,822,949,526,307,169,
442,165,553,763,225,119,733,931,763,985,356,339,765,070,499,360,604,792,282,
048,660,969,038,767,369,924,917,337,076,680,603,655,667,536,066,161,996,154,
482,178,329,466,687,288,715,332,932,068,776,166,615,395,681,389,123,129,994,
432,345,635,390,775,772,033,971,904,033,746,471,398,005,365,166,084,986,736,
205,087,563,791,341,700,831,151,127,513,294,949,093,963,572,806,348,037,373,
133,266,367,734,303,164,739,414,658,854,936,804,526,322,607,931,025,954,020,
249,482,869,142,593,305,083,479,069,500,804,623,633,980,984,390,002,048,532,
560,531,444,644,718,946,542,024,907,482,609,479,621,591,238,217,875,257,472,
038,503,568,798,793,456,828,038,219,667,005,638,766,941,864,701,911,824,792,
391,707,311,802,553,866,493,855,756,910,382,600,678,032,733,764,439,189,310,
110,838,470,685,146,956,531,048,899,567,622,155,026,871,890,928,243,065,696,
672,267,541,546,189,616,186,536,441,409,914,163,152,093,142,427,781,036,986,
861,874,855,846,489,867,526,482,459,550,124,072,458,318,769,121,359,989,421,
840,588,061,291,889,056,037,111,826,358,094,963,116,149,231,429,490,790,395,
001,615,868,574,441,421,494,494,114,465,644,432,058,087,709,237,002,273,879,
061,464,094,764,847,711,814,357,808,082,980,179,868,732,384,922,220,173,874,
273,742,058,009,229,877,045,537,792,536,358,996,579,296,314,628,188,560,225,
294,090,714,173,108,810,946,529,117,818,549,305,951,171,087,042,515,307,602,
786,756,481,325,295,331,583,514,771,353,046,750,427,173,309,678,846,073,799,
611,330,052,103,484,086,007,732,261,810,908,484,118,278,606,090,303,615,231,
228,991,584,757,863,495,025,259,302,720,946,233,483,783,925,500,803,435,455,
174,377,912,322,246,531,857,856,832,991,461,003,938,350,499,647,724,405,781,
276,879,185,883,290,304,594,362,668,595,671,058,399,348,153,849,701,849,663,
102,845,332,210,705,015,587,152,716,590,487,191,950,793,234,816,504,865,580,
330,702,346,684,514,542,194,213,830,935,712,179,254,131,894,919,512,576,129,
738,681,416,460,342,941,137,873,133,371,019,232,752,848,882,504,238,161,897,
405,866,315,914,007,201,440,353,979,603,458,883,135,369,979,799,067,022,289,
633,843,462,201,105,018,342,594,215,756,274,794,994,408,896,782,517,306,429,
733,955,608,027,154,589,777,094,229,220,063,647,924,102,225,934,907,348,047,
308,274,648,689,853,018,384,771,591,142,723,718,317,708,112,403,593,841,788,
906,772,105,869,281,501,062,479,828,095,745,330,298,719,819,465,975,473,509,
344,010,043,253,232,156,882,424,935,159,234,728,478,054,692,862,772,935,025,
776,193,961,377,281,076,766,085,026,051,494,402,321,113,840,560,711,249,774,
318,172,012,224,073,197,479,828,790,654,937,337,341,986,605,686,039,488,419,
080,192,731,691,897,482,078,267,981,699,294,944,608,687,392,383,353,260,770,
644,676,455,902,587,466,343,173,687,961,696,703,207,715,587,712,492,202,889,
147,961,794,361,472,487,456,294,497,316,665,815,881,688,607,159,482,317,744,
431,639,216,319,897,334,483,317,444,890,004,154,155,400,219,704,700,172,725,
687,614,830,924,487,165,342,746,678,951,093,645,203,334,579,076,023,073,070,
281,640,653,035,031,914,987,863,903,989,394,050,403,729,116,147,170,206,286,
628,334,063,269,904,431,468,180,487,127,254,241,512,754,037,340,036,908,602,
551,304,605,391,770,413,711,651,860,659,538,093,061,746,366,958,183,699,725,
183,431,652,005,306,113,150,245,913,941,288,044,802,911,376,813,541,037,758,
680,965,404,583,010,348,484,462,543,456,733,250,242,622,006,883,366,106,332,
677,571,432,011,373,467,568,800,721,508,409,571,890,704,601,610,206,787,447,
646,162,496,967,935,656,096,583,082,732,487,703,430,966,869,852,510,699,085,
297,171,838,606,721,370,306,484,924,184,350,084,793,148,563,395,841,786,930,
869,139,463,559,284,112,832,794,033,783,091,766,376,511,946,746,787,353,884,
692,092,114,139,103,830,548,720,715,669,539,471,285,447,667,232,575,101,087,
421,393,934,221,255,013,670,486,249,052,724,634,172,992,941,521,310,199,762,
385,930,511,343,890,809,102,870,386,785,818,104,572,458,007,863,747,223,051,
267,542,902,834,246,691,733,349,180,163,682,557,574,063,805,995,715,585,655,
838,238,456,418,752,392,611,918,188,283,789,855,289,102,159,890,654,922,324,
059,496,818,658,132,515,084,168,688,822,899,556,371,963,898,897,102,469,072,
211,266,152,695,136,365,320,130,495,530,839,021,520,940,823,858,349,334,354,
932,492,295,039,100,790,063,227,435,527,506,626,220,783,455,943,090,049,302,
304,654,780,535,618,866,471,456,395,496,678,752,354,683,192,773,232,574,977,
029,836,265,475,092,828,422,509,060,626,618,135,906,428,048,424,001,435,457,
727,878,690,028,724,581,992,807,085,778,120,578,513,049,692,760,143,848,332,
574,575,978,005,706,004,151,830,844,054,008,854,305,704,449,065,545,486,724,
722,071,554,409,327,021,867,203,357,697,611,002,939,681,845,084,284,202,981,
505,627,146,431,192,158,923,007,776,379,421,666,985,833,428,174,167,747,745,
289,963,549,367,404,394,178,742,171,506,441,354,219,145,266,346,836,441,106,
381,199,136,292,660,595,651,560,850,624,902,859,978,144,132,558,350,585,678,
998,975,972,153,327,111,135,303,970,492,789,084,243,857,081,744,240,203,377,
908,906,799,319,977,002,708,402,088,753,974,635,838,585,777,449,224,443,679,
184,355,596,262,957,732,177,238,795,667,363,535,855,007,473,404,801,532,005,
662,807,994,693,358,942,939,698,345,980,597,509,672,039,473,380,355,124,407,
859,991,301,310,352,017,402,118,439,547,761,365,083,472,128,143,895,003,720,
620,914,667,299,425,925,715,279,833,322,967,867,705,048,378,625,133,486,765,
595,471,748,069,500,621,265,542,435,966,842,693,459,306,718,278,892,184,839,
771,983,701,118,415,788,942,802,056,847,964,059,665,125,511,780,510,356,008,
618,815,038,350,206,696,912,014,887,840,428,750,553,268,423,374,904,737,268,
277,933,934,666,751,527,251,283,181,977,850,309,265,511,700,935,993,274,668,
860,326,531,972,492,217,882,221,142,645,321,090,722,031,665,529,389,093,632,
874,145,376,879,897,518,326,132,827,514,729,829,119,918,670,137,954,963,514,
909,711,216,287,432,377,516,410,359,530,476,601,010,943,572,691,888,326,524,
527,154,778,661,869,270,124,824,114,924,676,319,675,323,216,308,569,163,453,
060,549,352,535,366,586,890,311,620,831,042,367,443,898,828,654,499,847,941,
992,216,435,606,977,473,433,251,116,835,881,667,186,285,310,216,467,432,131,
860,586,033,338,718,706,179,322,503,592,167,668,096,123,778,379,959,249,964,
181,771,623,389,648,068,250,999,180,325,742,040,195,353,197,072,888,840,077,
610,841,443,912,708,402,717,721,468,574,974,136,882,624,108,713,274,162,550,
038,310,393,290,070,895,496,212,057,484,527,615,060,893,060,997,382,465,497,
065,931,910,247,437,451,592,107,206,401,166,613,496,779,003,787,096,236,141,
962,108,626,633,087,405,930,214,165,939,702,537,514,706,172,507,783,900,397,
642,475,102,155,669,252,095,793,132,208,135,823,776,565,372,765,684,559,620,
772,010,272,555,830,513,680,177,858,845,633,634,507,479,921,280,616,820,913,
496,915,473,119,913,311,409,124,796,662,356,400,763,973,685,523,843,962,984,
866,049,799,902,366,631,939,152,731,834,631,656,551,888,397,134,964,226,206,
790,965,159,321,883,139,436,753,344,005,767,061,252,937,015,114,004,334,526,
091,672,206,243,055,122,914,038,899,974,969,668,245,447,051,373,699,762,452,
700,558,136,805,049,608,170,356,390,829,084,776,647,898,679,782,408,084,837,
795,809,923,730,915,511,634,169,276,135,442,618,030,692,593,676,236,290,446,
775,343,194,678,871,810,161,598,894,522,242,704,599,674,000,012,199,554,754,
621,789,989,434,602,022,679,559,599,856,766,391,465,288,799,654,542,938,565,
629,956,519,040,567,763,353,545,199,945,592,648,150,696,984,504,334,607,813,
321,284,664,567,526,213,808,172,968,805,558,223,791,280,337,141,076,887,579,
749,489,979,611,499,718,220,304,209,832,210,901,692,679,588,439,254,991,256,
166,164,093,790,284,853,644,009,150,189,689,283,748,231,874,429,223,468,228,
289,289,166,473,424,856,846,719,919,265,837,067,600,442,576,718,243,201,303,
896,509,231,285,668,827,222,617,631,216,383,214,522,570,070,116,654,679,688,
521,974,807,638,211,250,200,705,096,132,462,458,275,438,626,838,402,747,674,
773,899,912,901,787,624,351,065,138,330,236,243,018,183,908,170,545,306,923,
657,570,768,221,868,247,183,390,896,373,496,408,258,286,433,015,754,734,802,
288,976,931,944,978,796,776,645,625,664,638,240,897,902,681,931,853,845,333,
977,574,435,706,656,927,651,427,108,277,307,789,355,278,832,680,964,934,609,
103,393,939,860,917,256,121,725,690,397,310,799,369,778,076,924,504,350,661,
756,568,703,218,550,214,586,365,913,362,113,654,552,347,994,809,732,228,033,
752,252,226,701,768,865,890,168,328,411,237,374,348,414,368,028,421,646,274,
607,652,847,233,876,312,561,268,573,652,453,224,176,537,277,985,670,208,092,
503,376,135,357,443,563,299,502,513,987,258,006,365,853,790,172,248,379,236,
113,983,858,354,676,780,705,151,714,718,349,918,534,779,206,714,410,722,766,
440,987,767,477,354,140,753,171,070,094,709,109,100,943,657,637,289,104,500,
671,724,935,669,559,328,556,435,390,156,587,583,633,784,214,662,655,783,419,
374,765,765,197,094,087,618,357,800,324,378,973,256,561,041,535,116,953,309,
237,582,385,881,767,015,323,988,510,123,405,729,958,020,740,328,770,252,846,
526,686,668,043,641,028,492,299,119,832,695,653,505,574,713,349,204,218,479,
646,450,340,388,240,194,626,322,172,245,766,996,885,169,420,023,456,987,213,
950,015,737,933,749,149,600,713,900,669,612,260,270,328,291,631,984,116,351,
000,162,961,999,791,633,039,216,612,635,503,681,459,162,149,019,417,042,964,
960,535,667,092,618,080,596,152,229,617,301,526,300,863,920,364,220,299,781,
770,723,117,056,174,929,894,039,081,008,943,096,550,852,925,412,326,219,986,
427,985,003,349,816,557,469,823,179,808,851,669,026,867,323,460,985,534,817,
184,518,701,827,780,115,571,792,399,024,636,091,567,039,384,263,920,089,033,
453,954,650,218,320,326,220,964,471,944,680,283,232,809,685,176,407,961,506,
660,472,681,743,508,799,357,410,543,013,072,963,390,811,653,673,173,990,116,
640,809,895,900,664,553,911,754,256,930,683,233,576,672,394,805,485,286,423,
368,437,405,762,813,176,584,702,355,663,706,716,724,099,047,272,228,758,140,
612,025,978,313,934,976,036,874,968,227,257,268,374,452,037,939,248,888,935,
123,327,779,877,147,708,019,359,711,774,563,271,069,658,385,428,485,506,985,
578,602,216,565,876,394,127,887,936,859,041,034,741,893,406,377,928,234,013,
560,308,141,518,040,277,505,993,555,312,412,319,368,537,261,425,575,775,897,
977,224,908,841,198,342,080,562,287,225,420,491,839,069,265,068,769,811,051,
999,306,364,666,963,784,236,598,867,483,088,726,096,174,729,828,718,268,666,
516,619,888,580,091,194,055,825,270,972,665,801,615,537,962,562,429,264,410,
681,897,171,215,376,277,215,132,203,484,345,375,271,355,928,282,132,615,382,
814,400,958,534,244,261,345,525,583,393,577,952,280,785,249,215,134,127,476,
318,930,489,272,553,887,418,227,531,829,584,316,824,530,620,683,678,802,168,
088,324,408,487,296,453,655,477,207,052,580,364,366,386,007,623,444,415,954,
603,046,760,572,424,201,437,554,799,919,381,205,336,434,507,574,740,931,845,
144,578,145,053,006,140,060,000,924,781,424,484,983,841,987,758,985,403,110,
778,097,546,914,655,085,001,848,505,753,947,187,354,156,796,710,388,306,678,
094,291,575,461,941,203,981,649,582,320,648,804,655,976,847,277,004,482,092,
382,881,476,649,762,826,640,898,303,149,051,857,610,880,005,633,062,799,733,
966,894,954,712,753,989,735,814,344,254,433,983,201,605,466,815,069,529,519,
945,124,691,866,116,967,397,023,253,617,518,264,552,755,922,859,969,521,135,
631,252,399,534,435,622,257,266,314,586,570,912,960,544,424,271,071,722,368,
822,019,755,811,586,058,171,027,108,194,516,074,523,634,911,493,811,062,801,
041,664,248,674,308,288,397,437,121,371,302,940,277,930,364,757,828,136,445,
935,547,006,671,051,747,941,884,270,559,280,221,104,947,647,057,701,775,980,
668,517,849,091,170,163,663,080,062,306,793,595,287,523,690,758,979,257,832,
814,197,110,856,388,615,165,677,433,074,482,116,489,263,381,425,571,332,902,
475,716,078,676,312,649,923,337,749,885,780,487,078,480,266,129,140,497,952,
502,500,983,977,932,801,473,877,587,016,124,263,683,345,032,803,450,661,106,
488,799,355,386,908,251,349,168,307,733,242,901,670,528,801,646,779,379,374,
029,752,911,995,403,627,534,038,816,656,146,534,948,863,338,187,893,828,125,
485,949,698,967,842,380,537,759,184,283,394,345,085,768,787,212,257,205,206,
847,749,830,346,281,347,927,729,026,865,775,050,926,470,016,349,860,675,134,
875,545,320,336,902,198,408,175,831,253,776,227,373,291,467,542,903,878,957,
650,991,175,083,902,854,701,601,938,107,830,603,548,254,531,554,542,873,225,
641,123,254,084,912,269,332,541,583,648,489,503,235,952,213,674,970,691,853,
748,883,337,455,872,606,773,691,471,355,124,057,164,935,149,080,515,952,426,
023,381,151,690,685,770,674,739,121,784,020,817,022,326,295,594,078,193,884,
243,988,876,537,046,929,891,068,687,480,585,210,764,619,148,262,888,979,812,
652,856,124,084,707,752,954,969,715,287,651,846,670,822,552,137,193,019,478,
644,058,570,968,503,979,998,277,912,789,897,643,687,375,168,966,563,228,534,
671,092,617,956,276,259,127,611,289,987,613,297,493,985,678,693,583,436,215,
669,778,518,528,477,207,688,116,507,967,578,379,932,176,727,050,231,765,766,
373,989,184,163,658,322,011,659,190,513,590,583,487,559,645,332,820,398,566,
774,829,318,654,507,300,585,998,697,475,366,640,351,384,832,582,218,098,941,
949,297,332,171,998,396,807,563,954,060,777,826,842,291,268,087,191,426,315,
513,179,225,829,962,372,683,964,956,400,000,965,835,434,357,854,420,793,247,
215,181,267,449,428,489,762,781,901,834,136,428,349,862,711,191,718,244,897,
352,201,956,226,906,795,990,130,354,595,593,756,899,982,074,026,197,075,308,
858,417,926,945,150,168,921,159,781,186,019,886,029,238,680,450,988,428,738,
738,494,563,471,512,375,144,169,336,587,888,078,766,678,578,945,682,674,005,
506,610,757,470,976,537,536,563,921,729,916,758,031,885,117,031,399,496,964,
368,778,256,312,724,950,567,988,198,150,665,907,652,936,829,012,755,061,245,
293,906,675,859,781,670,299,570,157,856,477,829,291,217,856,476,151,556,307,
416,400,640,095,237,826,062,892,098,513,724,539,306,657,491,323,249,513,081,
915,454,357,408,767,257,229,679,874,349,735,639,750,785,467,483,200,474,361,
479,783,833,733,372,819,717,931,660,381,385,786,035,502,422,666,723,585,822,
676,168,144,496,986,037,785,777,755,479,615,537,224,698,868,297,081,757,220,
480,146,786,377,857,283,879,108,413,187,942,247,026,976,626,181,502,457,232,
301,165,908,757,978,831,915,910,011,256,615,759,734,088,999,643,485,273,930,
047,354,482,906,511,293,350,411,913,279,971,272,635,196,312,961,615,441,509,
435,981,853,049,111,839,071,525,635,195,844,836,028,191,913,258,885,236,852,
789,441,052,144,248,524,376,451,431,257,035,208,989,721,079,940,688,699,555,
084,121,075,049,073,436,881,204,685,336,823,419,206,429,025,803,788,930,270,
010,536,566,661,222,126,648,479,759,514,396,681,361,502,440,259,399,974,566,
514,573,262,739,345,845,476,775,420,794,704,046,274,308,771,544,108,004,984,
375,195,118,625,596,211,430,325,933,521,968,330,839,317,889,672,925,485,872,
970,692,221,320,915,963,156,678,158,790,820,828,803,963,955,652,672,040,653,
919,699,986,527,269,216,900,163,779,410,236,079,644,740,953,227,562,775,004,
909,685,328,166,935,905,820,989,159,939,340,795,213,211,348,596,799,438,031,
176,533,078,823,745,057,013,704,060,750,408,054,726,562,080,694,321,003,502,
098,068,827,468,262,429,677,319,575,914,808,050,830,758,509,914,370,377,848,
971,434,650,968,256,636,901,232,645,517,672,867,785,112,396,516,521,295,363,
125,063,181,309,887,558,194,213,912,407,121,761,195,307,497,053,512,093,681,
244,339,009,914,915,262,268,211,477,734,207,734,289,642,051,344,376,523,345,
793,869,593,011,182,557,502,779,531,207,235,248,984,338,404,471,376,828,594,
355,365,769,516,748,264,103,730,229,527,065,108,371,202,782,793,122,745,174,
723,526,826,989,450,404,136,828,019,967,790,453,748,491,334,055,062,044,887,
887,052,850,355,431,464,957,332,485,016,652,430,867,171,922,377,534,894,660,
486,252,175,261,730,744,332,719,157,831,735,455,869,272,354,109,293,267,552,
872,900,143,947,528,922,235,513,013,885,345,750,694,881,203,776,646,887,123,
824,875,220,140,564,510,356,887,577,446,107,467,172,560,589,193,038,514,039,
514,393,374,970,575,289,528,257,881,203,346,115,341,802,074,586,758,382,660,
463,204,201,045,537,843,398,850,348,672,492,108,237,543,571,941,236,796,784,
178,520,792,502,841,746,844,474,861,740,452,281,102,767,046,181,840,081,125,
682,718,569,206,709,130,801,483,422,860,594,866,223,541,495,314,601,147,501,
919,663,124,181,803,478,135,227,625,778,078,213,713,486,084,532,076,762,416,
270,777,647,563,991,119,336,324,114,489,396,448,805,877,982,585,849,273,804,
316,824,303,412,203,485,727,809,874,270,776,615,236,230,140,010,204,487,305,
120,876,302,921,307,907,928,029,811,537,887,250,477,768,231,088,801,415,895,
191,350,544,204,379,235,065,068,450,983,828,650,618,531,177,473,732,734,684,
724,710,307,970,518,545,583,342,393,099,036,847,544,677,724,036,853,379,090,
334,345,611,134,426,720,058,100,702,615,258,526,922,037,708,757,902,776,040,
934,453,896,065,804,899,020,411,729,435,536,904,588,955,655,461,955,298,558,
194,227,988,225,668,301,424,581,325,503,466,712,588,922,964,188,878,191,233,
465,581,184,786,035,375,157,934,471,897,008,674,284,160,310,959,303,700,088,
535,881,897,480,340,769,378,154,520,605,085,362,213,260,583,225,861,435,712,
441,474,359,347,878,446,870,055,755,385,275,405,267,487,565,154,699,882,325,
215,008,849,612,967,208,270,316,821,787,946,819,721,990,808,424,393,564,664,
690,915,422,376,328,657,056,489,929,447,977,794,177,195,210,330,335,414,955,
016,538,551,126,237,010,007,917,755,528,533,382,856,507,167,643,889,907,071,
738,785,201,385,985,796,977,628,960,365,636,172,613,333,311,200,231,030,576,
596,780,859,280,955,624,672,580,315,350,455,770,621,948,716,219,339,091,290,
314,358,484,939,507,161,016,280,731,787,257,159,015,843,950,272,600,485,501,
606,822,819,437,006,063,830,781,234,132,429,213,393,976,640,663,975,741,028,
402,668,318,498,912,934,996,444,177,025,665,418,173,205,577,161,598,663,108,
984,742,383,342,046,178,063,286,471,234,345,295,734,788,147,119,368,496,391,
307,614,541,240,030,437,528,601,658,342,597,007,294,982,500,497,351,430,804,
082,319,810,574,811,821,329,384,768,125,843,810,635,680,462,412,376,551,119,
143,280,073,964,281,061,874,868,516,379,591,078,688,654,194,929,201,058,485,
238,265,283,561,126,541,793,412,879,381,019,202,848,719,811,202,867,040,250,
822,350,972,174,962,299,987,235,647,707,270,480,579,930,544,454,331,968,120,
266,786,386,891,878,299,777,692,348,536,746,126,280,844,119,928,706,543,417,
254,181,774,910,496,001,980,658,710,252,942,241,046,819,323,822,100,404,707,
579,688,057,834,194,667,286,164,146,899,045,591,724,391,765,654,017,877,044,
394,411,309,946,235,420,467,854,609,565,326,001,174,401,278,629,579,867,282,
964,550,412,480,415,148,252,307,951,251,570,699,689,335,323,805,932,810,576,
806,227,567,126,021,340,404,474,852,056,720,827,926,643,151,746,265,788,813,
491,402,666,074,455,413,463,675,440,881,976,873,536,726,640,682,537,170,334,
036,449,390,229,554,454,643,685,263,925,736,968,615,301,481,348,403,350,346,
690,552,939,693,154,088,107,458,935,279,438,854,932,451,449,444,088,046,899,
452,715,776,297,262,676,936,325,569,800,894,669,885,553,515,927,858,548,062,
349,478,043,507,105,128,118,420,623,743,826,786,276,588,133,468,865,954,831,
772,419,277,907,225,852,076,457,970,272,858,209,495,058,228,210,338,148,385,
410,541,733,163,645,323,380,778,718,166,072,962,073,785,369,283,382,686,466,
755,989,170,906,645,196,876,855,286,188,069,094,013,143,266,004,876,626,293,
370,248,092,029,472,826,255,048,380,476,738,704,937,795,073,225,409,696,046,
993,059,900,566,272,906,902,272,355,269,581,153,180,999,993,746,434,906,493,
872,368,186,068,161,506,782,071,971,361,697,372,805,938,249,573,409,299,264,
921,738,352,811,902,525,066,101,048,510,586,727,955,943,033,109,615,638,677,
034,300,729,874,034,084,158,416,271,198,482,296,865,847,092,810,027,236,897,
348,290,339,490,796,121,484,497,187,702,468,027,665,725,957,658,819,101,067,
246,746,509,166,990,136,663,892,472,860,098,328,215,026,262,345,028,683,840,
686,374,471,818,819,667,569,828,116,291,619,353,940,936,960,911,835,976,023,
978,868,761,009,043,083,736,759,605,436,354,915,294,484,094,964,905,336,833,
022,945,025,482,642,352,062,984,319,769,586,320,914,070,217,931,893,907,910,
212,350,153,324,572,145,470,371,383,405,636,262,026,290,095,044,593,639,668,
303,796,892,783,871,551,393,734,993,450,081,925,954,190,385,316,250,141,560,
099,141,184,970,837,343,565,663,300,745,649,386,774,246,702,781,289,315,154,
479,979,101,091,547,888,232,686,438,143,827,559,850,629,340,286,918,211,552,
426,718,584,992,834,618,365,082,778,501,967,042,900,020,293,902,055,179,593,
673,552,837,533,964,429,673,026,540,928,215,294,298,504,031,140,944,547,089,
881,988,776,013,752,448,342,999,341,382,499,327,125,894,815,396,696,652,721,
499,013,729,458,746,621,238,855,876,796,678,128,192,671,576,718,936,226,958,
520,939,883,488,623,885,483,123,923,754,033,713,955,015,053,759,717,036,555,
586,793,300,793,243,727,692,016,082,967,398,870,689,873,533,125,454,358,757,
378,167,873,041,606,487,114,791,898,653,646,723,220,857,577,026,438,503,938,
118,443,989,845,866,583,710,222,787,115,796,792,577,142,230,447,755,469,456,
582,622,220,858,898,531,413,543,649,446,945,576,016,243,710,341,510,868,671,
128,745,754,230,627,716,708,895,845,233,580,220,478,684,373,090,860,559,721,
491,916,865,336,927,618,136,214,430,784,420,853,132,913,404,500,971,063,328,
811,658,909,251,975,462,940,118,207,150,076,926,933,099,313,706,896,489,995,
285,599,083,876,338,523,409,324,186,712,241,084,908,494,301,231,004,755,957,
365,670,768,167,482,600,497,879,790,795,712,844,088,620,539,239,843,707,292,
669,337,935,532,538,444,085,574,649,373,090,762,591,699,184,891,553,211,873,
174,075,382,604,250,991,127,979,146,408,902,621,184,652,401,164,553,392,476,
306,044,739,320,737,952,059,809,094,162,261,305,685,583,544,459,837,752,087,
201,239,241,029,702,832,961,865,972,850,618,408,432,958,854,066,581,097,759,
844,327,332,837,113,593,404,038,025,429,366,554,987,014,902,992,848,018,604,
721,160,164,057,058,033,423,294,547,019,877,950,098,156,681,044,259,409,602,
957,441,353,797,939,940,218,613,307,705,653,192,169,665,862,209,667,316,455,
319,283,708,092,521,978,690,854,618,765,553,528,865,824,055,240,926,500,778,
968,395,215,977,777,295,867,627,580,040,039,081,240,300,595,808,456,482,024,
339,806,633,885,283,004,659,514,367,461,633,678,633,377,834,775,089,558,590,
716,644,150,767,627,179,021,287,381,919,026,394,253,332,806,857,290,490,385,
842,202,020,748,454,781,441,491,243,626,204,356,302,739,722,961,686,277,771,
911,639,209,883,558,155,737,348,868,359,013,849,546,440,000,882,909,864,954,
131,244,443,601,821,015,454,812,869,060,022,649,628,705,797,164,415,116,756,
907,961,628,050,819,693,137,129,848,482,032,048,686,666,726,461,249,574,775,
613,919,915,036,175,155,619,013,142,475,659,685,638,557,180,882,807,785,853,
180,484,609,046,853,713,894,200,930,575,549,618,771,706,961,935,760,045,480,
133,251,122,311,124,415,696,253,797,977,176,172,114,125,788,311,488,259,202,
261,515,391,783,149,806,863,174,033,033,694,960,323,834,112,180,881,110,210,
326,683,614,864,749,907,931,814,574,407,847,056,473,429,714,810,363,219,827,
286,111,892,631,318,285,325,325,052,051,935,306,062,069,653,773,936,899,099,
534,870,025,153,579,427,103,986,192,681,763,787,912,927,725,749,677,042,730,
191,958,024,935,320,444,206,024,002,351,978,732,590,667,847,477,358,308,522,
261,415,346,076,763,096,953,831,733,107,570,617,668,756,035,020,827,351,828,
684,821,247,111,662,208,277,006,167,187,261,610,105,148,467,353,592,943,872,
970,587,096,953,291,590,427,503,412,468,255,109,538,308,874,539,720,150,464,
438,003,979,058,501,938,662,613,215,700,735,786,429,450,310,887,964,685,467,
330,406,496,622,729,697,082,014,786,170,899,974,541,493,773,287,677,473,933,
278,961,950,986,099,815,112,426,664,431,181,766,225,206,137,839,649,166,425,
425,999,306,947,791,473,173,139,398,824,883,809,861,375,061,110,998,380,434,
431,592,041,438,398,546,206,715,539,381,514,187,384,402,183,606,045,750,851,
585,857,482,970,989,205,188,615,779,772,529,945,368,504,992,031,022,890,622,
890,313,710,631,281,217,617,594,552,476,412,959,000,547,246,182,748,124,143,
923,762,536,874,178,053,621,544,039,683,403,848,359,872,228,857,399,360,421,
188,555,998,955,863,015,502,711,095,354,115,881,430,950,619,060,288,535,334,
930,912,912,779,940,450,923,335,960,102,781,269,139,287,063,610,871,682,677,
251,673,395,425,578,925,512,943,809,755,218,256,290,460,734,351,175,612,263,
346,782,979,787,432,719,093,480,325,505,380,929,914,030,167,696,148,017,321,
997,815,029,792,234,808,585,718,212,455,278,508,351,403,242,282,360,971,013,
277,651,141,022,905,302,516,036,028,270,936,693,840,277,484,977,494,031,567,
396,016,674,446,011,856,349,233,924,773,568,824,323,492,992,587,221,087,928,
976,668,028,597,712,337,230,358,607,962,595,080,334,745,371,133,220,475,028,
677,223,652,010,563,615,458,109,286,127,034,375,290,045,321,383,083,217,760,
081,834,366,572,440,214,348,444,860,994,478,845,347,429,607,594,336,678,483,
913,802,539,873,036,437,134,780,080,042,375,645,255,033,340,215,848,579,587,
061,667,864,644,470,719,819,833,458,559,928,798,042,049,696,990,536,300,949,
925,776,457,253,912,548,832,756,514,324,329,171,835,869,647,889,108,257,781,
427,196,535,974,158,406,640,739,974,447,794,870,955,196,930,066,376,914,625,
593,661,292,213,798,329,144,080,320,761,579,370,524,990,195,357,127,499,033,
647,018,998,568,265,185,628,646,756,970,480,767,966,755,424,913,174,701,520,
637,992,899,119,610,053,029,649,075,940,397,320,432,126,589,274,045,985,216,
974,157,267,708,192,045,998,921,895,536,363,477,810,365,765,722,901,033,994,
913,436,627,459,232,461,760,221,490,615,349,409,381,809,524,117,859,255,803,
469,904,413,578,197,192,729,008,985,685,564,398,215,793,375,947,957,553,549,
510,187,572,637,536,719,683,489,519,032,659,180,776,396,088,183,015,368,306,
789,771,658,396,638,474,672,688,815,467,738,906,875,133,457,662,323,144,478,
988,590,780,362,137,134,720,590,673,175,932,498,512,506,359,561,412,581,835,
951,524,511,622,701,841,222,642,617,869,282,023,463,519,814,900,393,179,324,
257,000,881,252,138,375,886,212,932,075,342,710,718,624,440,214,379,833,336,
994,781,291,473,570,122,827,492,295,344,213,676,732,436,976,938,530,131,824,
234,368,148,042,048,215,208,499,420,209,274,336,180,534,578,775,726,503,989,
625,834,746,003,907,062,598,192,568,465,510,687,099,781,702,623,247,238,111,
328,966,641,348,319,686,287,575,471,186,437,992,870,287,409,387,623,611,916,
086,202,559,193,299,288,903,119,808,432,392,812,200,738,093,976,173,518,928,
135,955,228,605,542,623,703,757,831,921,503,516,480,713,989,730,769,044,232,
493,572,830,139,836,590,865,973,901,405,455,807,856,878,106,775,262,785,275,
436,373,971,991,350,002,680,444,354,759,475,733,934,963,010,171,548,370,132,
409,435,623,669,677,872,612,417,878,293,228,069,415,497,643,453,441,814,357,
957,187,919,834,770,349,600,520,478,357,680,069,768,461,161,503,648,321,385,
271,322,473,139,194,236,699,385,495,341,711,652,602,166,954,371,001,078,342,
138,198,990,777,084,210,181,711,617,099,380,225,826,039,619,385,118,623,039,
525,734,981,264,427,674,775,077,719,271,675,239,841,561,465,464,423,376,626,
632,357,389,209,731,559,857,355,470,349,909,871,590,586,056,302,732,880,074,
900,272,924,072,487,882,070,774,404,892,693,207,172,635,489,770,059,745,124,
071,128,688,975,310,526,868,311,054,509,265,316,587,574,691,768,334,475,576,
322,918,412,430,634,801,408,480,100,558,249,758,443,018,091,832,149,083,456,
393,010,750,143,716,937,322,230,122,132,911,782,998,414,203,238,585,823,993,
050,043,912,533,098,628,864,343,940,735,649,658,347,132,585,590,157,550,464,
453,308,933,289,572,375,486,877,749,583,077,204,733,386,538,348,860,767,507,
719,063,663,826,695,583,978,227,132,053,206,899,956,745,998,020,877,944,132,
610,066,497,711,133,853,213,226,364,704,938,721,073,892,366,879,599,525,176,
862,853,243,670,858,573,148,788,179,432,124,004,778,237,362,976,072,883,770,
495,437,016,477,348,923,575,316,224,767,176,450,231,998,278,918,490,439,675,
715,054,788,376,585,034,071,649,167,621,940,762,021,605,531,280,545,967,620,
829,098,442,431,106,801,106,853,382,669,858,036,809,942,625,180,834,549,456,
236,931,526,600,872,672,357,328,438,592,426,497,075,646,946,071,965,649,020,
014,339,251,907,306,094,191,752,918,954,586,476,603,498,058,772,756,093,818,
394,099,501,524,479,801,287,321,905,460,374,411,182,834,375,433,536,823,400,
406,541,247,387,772,909,670,341,942,369,095,294,860,913,476,494,993,700,443,
029,775,603,683,600,230,127,488,725,195,421,458,627,134,582,816,456,164,969,
302,686,291,461,972,817,646,757,153,738,447,670,885,061,954,451,216,111,888,
645,061,415,154,847,770,464,331,497,631,502,229,690,725,397,061,507,473,026,
607,368,517,555,092,482,850,740,460,701,775,936,031,321,853,512,264,951,714,
057,792,272,134,914,995,857,167,020,040,444,070,201,877,957,187,380,588,325,
904,345,138,289,406,763,350,590,683,891,755,668,976,372,802,672,462,715,251,
694,756,336,692,348,719,075,359,240,094,276,215,114,327,586,270,385,349,001,
747,283,833,312,528,112,089,572,046,091,928,731,629,148,802,519,775,677,277,
410,826,117,375,994,814,401,690,650,881,600,574,820,775,488,003,950,363,483,
830,277,512,646,677,662,643,684,931,482,011,502,538,792,904,788,282,264,375,
796,184,016,204,009,750,187,714,033,754,096,379,174,652,328,941,014,032,519,
717,431,662,589,382,593,736,014,103,642,918,227,853,723,225,227,024,172,941,
320,686,962,150,554,930,233,080,537,808,722,783,130,419,864,330,440,723,826,
513,715,265,532,878,564,949,378,254,390,631,277,108,893,344,563,573,353,410,
733,167,595,089,700,738,869,940,261,536,175,971,700,604,610,202,308,772,768,
750,975,876,203,041,218,538,776,100,949,240,627,986,436,875,198,649,175,493,
226,401,027,411,827,151,761,575,280,136,704,130,157,380,636,258,588,550,156,
547,846,868,827,020,279,449,888,245,680,379,262,872,315,028,748,575,782,864,
036,610,470,696,762,008,354,357,540,843,096,013,218,619,671,075,853,537,825,
550,048,113,011,030,379,510,445,731,940,464,182,679,136,929,629,828,681,609,
337,332,719,982,168,408,707,415,446,678,019,159,336,696,212,128,191,612,784,
946,377,137,009,287,043,621,471,679,262,127,502,540,890,756,513,455,380,237,
147,911,330,161,556,717,341,082,179,541,295,468,901,068,469,293,590,063,445,
135,595,273,982,157,925,563,973,047,102,827,149,637,699,116,321,230,388,320,
024,567,312,236,459,360,341,978,261,958,151,644,001,376,184,416,824,401,944,
917,526,719,720,602,146,278,988,601,765,720,947,766,403,469,016,786,458,260,
321,032,768,204,887,469,626,040,674,804,246,923,612,129,802,834,968,340,072,
984,263,581,002,266,512,676,624,913,595,165,990,100,902,172,976,693,029,027,
126,015,093,452,504,003,146,627,571,021,149,219,854,318,142,175,572,323,140,
362,770,697,423,938,326,301,185,288,612,665,867,529,366,340,183,361,598,493,
271,535,275,379,565,181,512,842,866,049,807,983,724,871,811,274,281,173,381,
971,967,503,862,423,341,465,376,487,584,353,597,851,957,001,350,850,350,561,
235,609,983,769,938,695,412,003,827,658,143,624,381,247,193,046,345,528,200,
318,111,140,761,349,554,517,384,355,789,127,872,903,083,520,904,610,643,403,
366,797,919,851,020,298,285,976,225,745,967,173,563,980,838,971,040,112,676,
648,745,105,131,061,466,408,356,687,996,117,353,493,301,566,489,927,123,644,
005,541,781,221,153,671,881,333,828,603,572,586,246,690,597,155,200,296,430,
790,019,574,175,067,202,474,723,799,440,860,591,594,293,171,005,540,686,235,
624,834,180,986,229,548,344,543,549,221,093,726,630,613,233,090,930,118,662,
785,063,805,479,807,859,148,827,881,751,955,025,371,533,765,279,746,678,846,
490,603,017,547,154,380,696,746,441,222,597,758,949,027,620,577,210,405,284,
096,701,656,760,929,195,074,262,597,129,938,578,853,795,656,218,247,691,272,
728,852,416,665,982,609,686,650,199,206,429,204,069,532,634,517,104,982,877,
820,922,741,299,286,632,746,788,384,702,523,463,703,207,661,059,243,996,887,
305,431,963,679,473,527,305,212,601,067,016,381,864,718,501,579,635,033,616,
415,592,899,121,300,326,000,513,464,089,110,605,884,952,696,613,461,939,511,
983,068,861,418,178,964,478,462,858,694,340,036,708,544,087,325,305,271,390,
505,337,452,069,349,189,793,887,654,567,368,339,848,972,178,554,849,246,298,
362,920,455,561,336,974,265,396,897,985,927,510,798,140,649,151,191,662,287,
599,492,508,177,525,521,317,479,186,269,677,806,521,214,577,231,825,472,180,
333,056,197,783,915,759,732,344,867,262,556,649,085,911,098,551,506,495,831,
193,332,155,059,105,696,052,772,346,371,805,989,794,921,225,472,111,475,885,
084,157,065,040,795,844,811,579,640,807,738,478,519,144,250,886,023,469,207,
799,693,644,235,435,482,554,948,099,004,457,478,280,592,113,149,643,961,512,
242,229,103,216,101,198,570,307,605,669,185,046,662,866,334,390,720,302,795,
410,557,975,015,465,339,290,081,587,043,302,168,492,680,598,800,112,734,137,
774,790,098,362,083,372,042,230,647,719,170,408,772,199,001,688,177,851,094,
265,512,211,195,213,596,309,383,122,720,802,085,244,368,784,201,584,882,535,
675,849,259,626,546,683,451,392,991,972,046,788,533,953,830,944,386,580,540,
765,130,957,131,824,776,618,063,303,937,345,308,584,162,117,484,200,940,300,
537,192,975,671,347,855,759,793,536,705,740,004,063,483,510,763,414,195,531,
867,784,671,578,220,572,315,395,356,770,110,668,763,755,248,796,247,136,191,
504,533,533,014,258,982,640,108,334,430,064,716,857,012,709,878,058,025,511,
815,387,474,358,738,294,612,014,249,219,605,421,840,191,508,871,186,528,924,
594,433,082,657,826,490,020,928,751,102,875,288,549,033,172,151,172,830,043,
952,899,431,696,016,319,992,778,850,521,647,955,883,315,969,990,349,592,955,
231,002,238,333,649,196,354,575,745,863,431,808,565,798,660,401,176,391,247,
416,356,568,150,446,948,243,801,019,458,943,275,537,244,977,207,132,179,364,
908,474,917,306,672,462,469,543,174,672,074,992,302,698,362,850,076,863,137,
146,126,262,235,359,045,416,471,882,185,424,647,602,055,058,822,742,562,223,
190,122,387,555,253,263,070,846,663,661,245,407,662,471,692,511,466,925,051,
017,164,961,877,347,459,102,112,946,184,410,110,145,077,235,729,343,753,279,
571,630,333,284,461,743,837,034,784,695,984,098,229,666,309,846,184,843,495,
524,952,540,728,572,551,713,511,895,513,899,141,444,455,573,624,957,214,062,
203,729,021,152,210,087,813,458,175,196,384,478,761,772,706,782,509,233,268,
012,310,954,212,554,685,962,990,374,512,116,053,601,966,216,170,177,241,492,
404,450,026,444,208,064,391,289,630,438,456,214,564,972,361,970,393,991,680,
403,227,226,730,657,353,802,080,269,469,348,120,134,422,614,715,401,252,432,
439,418,391,388,580,177,807,779,688,840,303,794,516,904,931,408,785,333,835,
261,258,995,746,813,888,052,627,939,312,066,921,359,470,910,032,911,432,778,
517,488,693,510,319,921,521,533,288,199,352,438,317,162,839,525,296,928,579,
385,452,141,857,508,838,086,789,645,429,383,549,547,460,000,333,873,228,748,
359,061,056,028,577,130,715,149,586,282,488,309,757,276,259,461,929,381,265,
524,709,202,377,511,218,239,342,213,781,611,273,414,257,481,942,116,822,256,
012,285,003,876,229,612,690,353,035,456,693,543,407,817,865,547,919,747,045,
272,479,223,089,822,428,759,355,480,990,409,817,988,849,469,757,970,447,627,
691,258,576,086,944,087,861,357,513,717,809,159,317,228,610,680,125,512,717,
846,967,393,741,367,480,928,903,860,485,847,571,145,390,364,422,227,308,154,
880,225,648,537,028,234,762,387,604,743,074,345,831,778,623,458,187,431,081,
892,014,565,534,464,459,471,200,727,560,311,399,288,956,668,719,409,181,071,
218,109,379,332,231,225,146,334,326,594,317,309,853,041,049,050,017,418,672,
460,219,204,544,824,274,837,419,189,277,351,908,225,154,868,413,160,773,227,
340,435,501,409,707,279,482,306,143,113,769,960,802,572,641,980,572,895,592,
336,175,827,313,709,379,413,234,766,710,717,650,130,085,730,610,069,068,562,
152,596,212,987,804,517,278,457,730,947,815,225,832,658,150,549,648,950,057,
871,941,282,758,002,263,858,624,974,552,711,744,228,374,705,596,373,231,750,
382,413,468,578,166,296,191,767,766,309,971,305,952,472,249,245,563,899,762,
768,059,075,056,215,548,569,727,900,076,296,151,450,491,009,885,991,713,186,
374,088,343,895,001,018,314,497,489,786,787,406,913,671,608,843,139,818,520,
425,349,430,828,773,125,458,491,932,457,700,125,429,853,988,334,897,372,382,
710,324,083,540,315,964,222,597,522,439,671,725,255,025,551,728,522,563,424,
959,492,495,754,004,782,165,664,070,559,821,107,730,131,922,275,048,882,057,
024,318,347,995,983,568,542,268,947,088,741,123,458,145,667,882,030,860,650,
675,144,482,553,213,596,300,375,033,149,880,889,015,883,116,593,615,738,991,
401,058,477,168,379,150,692,297,816,472,575,265,346,579,970,344,823,264,679,
625,815,965,321,159,867,746,910,631,987,629,997,521,050,103,698,262,158,781,
163,374,175,345,050,922,209,243,250,308,495,001,082,044,809,754,936,273,915,
348,726,448,107,807,404,865,760,513,578,960,104,001,194,602,178,825,773,487,
993,864,871,733,887,874,860,995,262,146,923,256,507,164,997,129,677,671,553,
038,551,327,496,426,427,518,059,897,314,237,902,247,361,653,643,549,917,770,
026,281,637,151,860,779,817,820,052,941,704,342,579,519,460,635,873,062,173,
238,598,488,400,862,668,080,875,947,074,118,607,538,844,416,756,817,823,840,
450,791,335,356,877,574,822,747,450,547,226,893,966,501,243,113,993,064,533,
729,670,804,704,980,034,403,935,607,515,792,546,045,650,867,615,333,997,686,
735,658,810,200,700,845,068,960,408,098,940,111,448,594,556,013,219,041,356,
231,377,976,530,176,975,180,784,097,512,569,614,846,330,813,883,080,845,290,
207,190,603,459,842,626,002,927,511,080,155,988,366,160,333,091,248,596,598,
298,493,378,378,529,033,422,364,049,620,302,262,709,306,834,288,166,709,544,
965,886,733,146,111,113,312,564,702,700,884,693,794,525,972,862,734,934,889,
104,531,044,387,549,789,538,908,472,478,538,711,548,961,498,052,522,405,805,
179,151,549,242,092,236,895,404,290,039,732,215,376,073,522,863,570,671,817,
011,965,394,448,420,356,726,569,623,414,260,358,917,135,953,026,471,611,887,
994,073,609,609,996,926,552,915,756,137,249,846,215,780,524,956,677,453,027,
886,938,598,856,627,663,590,354,419,642,740,114,756,967,646,409,176,068,451,
818,191,923,047,996,026,208,277,156,137,706,148,712,721,311,136,658,380,878,
503,907,880,459,694,986,160,723,165,017,251,223,764,246,121,374,781,012,737,
037,626,475,647,814,112,370,858,580,424,827,681,237,609,891,092,083,186,338,
031,938,250,190,860,582,819,024,756,988,048,241,472,726,294,335,893,560,817,
163,049,998,968,720,152,352,501,650,443,305,996,183,822,106,543,608,613,886,
531,250,386,469,515,207,327,622,691,155,022,213,626,145,772,975,915,226,338,
951,292,269,892,925,675,776,054,075,920,444,428,332,287,492,362,508,339,237,
389,286,832,574,796,430,427,870,249,165,680,581,597,141,535,035,946,760,476,
666,493,703,301,090,365,336,511,620,263,958,066,733,351,007,019,050,746,108,
527,925,793,210,561,287,241,329,410,632,012,870,848,659,448,480,861,933,334,
359,361,936,130,703,919,472,382,073,919,044,744,539,809,977,200,737,900,350,
917,230,616,064,630,839,080,703,702,960,534,966,848,870,131,374,182,032,080,
689,231,609,864,237,569,291,262,652,142,230,479,683,188,532,293,884,414,564,
832,049,670,715,049,689,516,960,971,223,265,308,757,955,735,038,559,440,404,
870,827,787,254,226,637,933,101,069,701,253,313,081,980,029,125,971,924,593,
271,583,824,342,765,578,705,442,505,403,657,963,690,067,354,186,918,665,844,
312,138,710,098,777,361,388,657,482,509,097,030,431,154,098,033,711,490,126,
740,194,764,600,017,159,976,322,886,155,144,764,919,387,109,645,511,821,018,
312,457,292,649,089,227,896,932,086,534,355,516,630,670,346,161,280,883,321,
965,208,886,379,930,742,975,242,060,918,482,629,485,528,863,578,152,223,273,
846,897,460,372,181,953,666,132,342,624,581,610,780,784,681,767,005,865,667,
954,239,289,398,796,136,942,264,411,824,789,910,477,274,497,845,129,480,588,
182,042,159,834,039,111,805,423,231,448,025,684,266,970,872,782,125,285,954,
930,267,927,209,958,194,933,469,628,895,256,743,983,618,248,546,865,989,839,
656,680,222,508,535,518,588,245,253,204,007,749,638,749,101,838,839,805,096,
028,387,130,771,663,427,766,999,667,008,121,536,072,884,017,448,472,639,101,
546,153,941,003,011,878,882,876,255,975,581,446,670,848,855,717,424,814,635,
098,222,161,161,238,416,917,740,384,326,061,625,320,288,743,689,595,581,891,
680,146,194,675,854,299,469,277,875,065,326,265,146,587,298,356,651,110,292,
717,712,839,556,894,651,520,711,239,554,480,126,575,460,008,713,191,033,121,
173,323,864,540,972,420,301,292,798,440,906,898,941,872,997,141,921,224,487,
355,999,657,873,022,550,982,757,598,283,446,336,889,689,804,559,081,760,195,
298,831,690,373,080,378,985,821,453,827,179,340,768,954,149,463,740,756,330,
329,794,899,878,308,481,007,431,480,092,312,891,341,611,222,608,130,064,691,
898,536,323,485,297,141,580,077,175,470,348,995,813,571,890,901,919,168,771,
072,616,719,669,593,948,576,036,905,410,130,280,347,753,576,336,123,382,684,
531,462,204,466,297,876,975,545,582,927,195,912,175,303,172,106,316,431,002,
302,475,755,881,549,868,738,954,984,281,198,030,567,590,064,669,116,601,355,
836,857,064,487,183,742,445,845,645,383,369,297,702,224,016,740,973,005,913,
619,562,339,680,420,881,613,435,150,926,047,444,747,747,293,871,470,126,508,
376,670,715,164,903,514,656,735,932,305,538,047,670,997,137,137,007,099,438,
214,119,190,983,237,151,255,430,572,601,447,189,965,853,907,226,066,489,845,
452,894,794,399,994,744,801,280,333,618,884,393,575,475,692,197,912,469,900,
662,279,332,261,446,219,290,174,549,400,939,682,922,678,740,502,969,442,042,
587,205,802,099,410,825,180,894,531,731,511,955,447,451,937,380,910,116,940,
433,172,960,422,214,019,653,332,420,043,585,283,041,172,746,115,233,652,170,
421,003,740,578,216,363,635,472,694,283,022,888,680,858,910,850,479,211,177,
204,704,934,337,224,006,435,467,093,554,425,564,753,065,523,284,084,378,314,
186,625,276,008,624,495,342,272,399,182,271,375,128,404,040,404,987,483,465,
726,716,727,851,135,060,319,377,791,237,784,802,825,495,790,930,335,231,016,
922,896,772,238,845,974,221,999,278,675,663,080,712,227,311,841,030,938,882,
954,329,771,987,453,197,628,204,640,493,805,178,383,444,770,693,576,338,985,
413,835,846,986,435,355,174,083,645,594,955,432,685,728,997,479,311,514,470,
277,343,293,178,922,034,834,849,095,924,510,502,681,848,084,769,482,372,668,
497,104,240,806,331,918,595,595,126,370,386,116,728,495,725,936,373,861,041,
994,198,435,609,231,121,661,010,985,853,654,383,924,291,854,781,919,841,808,
586,718,551,995,357,244,532,730,696,178,593,063,202,393,629,251,277,515,586,
991,953,728,618,173,327,246,061,399,292,458,036,212,324,646,333,548,299,173,
272,559,539,251,582,654,265,712,936,792,194,293,613,925,193,759,707,098,895,
313,000,008,022,843,468,514,205,357,705,419,137,095,112,634,147,436,121,473,
031,388,501,734,886,780,769,663,706,024,840,151,541,200,256,954,286,747,104,
012,628,039,768,328,990,776,582,566,910,312,377,252,765,664,483,623,399,700,
998,333,773,798,769,232,688,297,335,004,565,000,035,060,492,840,022,979,841,
855,691,339,453,179,997,840,258,213,843,447,009,497,966,040,757,334,431,456,
068,577,246,994,226,064,692,054,709,788,787,965,762,332,362,821,938,474,617,
604,550,702,670,675,735,103,812,194,228,456,686,088,028,059,052,090,775,887,
029,637,606,555,455,343,361,938,480,838,296,612,759,015,999,906,324,954,252,
233,711,638,173,165,884,560,453,538,193,558,305,559,782,732,876,663,307,377,
348,416,668,376,428,323,363,216,354,978,284,824,600,782,972,363,983,878,905,
792,266,866,471,873,373,696,053,612,889,078,693,782,812,734,477,600,242,183,
006,026,240,638,767,280,011,726,935,896,907,867,392,463,522,189,293,352,303,
465,194,981,846,766,793,370,959,450,271,480,426,290,125,341,859,658,406,348,
641,977,937,998,456,049,233,873,448,290,089,980,930,368,314,891,540,024,895,
301,945,154,181,379,097,861,030,406,790,544,684,813,051,886,089,120,458,554,
835,306,211,532,602,588,920,416,468,109,989,433,424,529,237,244,644,970,454,
632,114,360,622,481,620,090,726,485,388,452,825,925,496,567,910,243,756,876,
600,127,100,592,968,240,701,671,433,333,652,375,893,414,830,657,701,365,429,
798,147,685,281,163,611,763,122,286,562,706,257,522,885,563,791,064,879,525,
305,489,093,366,525,931,961,970,114,940,955,829,239,153,966,806,361,831,996,
548,093,136,308,684,523,103,959,569,899,503,219,485,670,863,076,931,389,113,
290,237,723,769,527,795,833,284,649,347,836,565,869,880,885,347,605,198,198,
245,547,159,688,330,991,534,853,175,658,588,551,953,419,690,509,640,136,866,
507,981,629,265,412,771,879,582,881,083,693,367,055,189,679,122,535,862,761,
694,146,848,076,950,985,458,325,932,449,842,583,550,539,236,301,960,516,266,
236,562,025,866,317,738,144,432,526,949,213,014,909,806,180,202,607,781,192,
132,000,810,370,901,600,688,529,289,325,643,276,048,992,849,446,448,726,535,
703,926,408,183,733,347,319,885,468,531,973,661,850,200,983,563,324,471,568,
521,022,062,198,112,849,566,565,789,190,370,629,476,956,131,470,903,432,248,
258,593,761,946,513,436,914,485,544,380,667,803,549,687,745,745,341,724,569,
891,059,035,333,317,633,407,442,050,300,410,081,812,613,231,469,523,733,682,
980,401,701,928,838,448,195,374,793,010,233,214,240,255,787,074,208,992,747,
181,554,092,909,375,280,060,890,995,727,673,920,628,351,471,784,621,346,224,
797,106,014,171,215,363,888,059,333,236,037,127,421,215,753,728,913,103,876,
484,860,972,792,597,055,666,186,083,608,602,285,662,960,073,151,031,821,452,
536,838,518,373,508,659,562,323,371,291,687,762,680,207,870,639,757,562,152,
309,867,077,538,862,216,199,348,250,169,231,670,742,322,913,413,710,696,851,
381,919,453,035,477,277,016,393,020,021,362,490,980,490,751,298,409,655,298,
835,267,072,904,694,730,549,707,427,120,876,715,849,327,638,098,326,166,438,
167,703,484,019,174,274,558,194,055,156,125,343,921,172,963,155,626,566,484,
684,314,981,565,828,145,648,275,715,727,556,224,051,291,372,776,351,660,686,
253,616,148,226,274,269,163,645,201,815,781,410,905,950,877,007,110,194,870,
650,069,094,672,317,902,975,517,909,439,029,517,126,493,737,626,441,107,695,
006,396,573,898,944,702,065,450,625,175,165,603,725,446,268,607,701,368,765,
342,870,972,349,198,415,666,143,628,161,905,761,772,884,978,464,635,272,763,
023,694,811,836,564,796,878,284,609,126,012,982,315,974,441,839,660,999,140,
792,718,745,364,485,218,130,927,113,930,571,410,322,893,118,933,719,800,603,
851,437,394,775,021,187,154,481,725,522,020,502,239,984,448,171,391,586,821,
483,696,594,123,109,880,150,611,598,365,783,821,382,546,518,545,720,655,830,
561,978,559,969,972,450,130,962,376,147,886,216,180,375,274,844,175,606,096,
774,112,745,810,211,712,691,798,727,260,993,073,373,578,406,180,262,597,516,
333,592,505,033,108,878,714,473,407,080,794,307,637,459,308,633,667,868,354,
185,247,029,449,648,302,578,512,433,531,277,705,973,233,154,048,513,417,667,
133,804,087,368,022,950,904,872,623,996,347,450,005,770,308,530,326,824,499,
277,380,044,822,431,355,519,091,373,119,239,720,030,472,258,467,260,309,896,
272,049,010,699,461,466,405,726,405,591,038,943,597,000,768,713,304,180,243,
890,767,048,862,234,400,584,099,293,246,115,757,102,802,784,372,784,429,650,
073,306,015,000,405,308,545,916,259,017,283,138,235,145,948,829,830,749,786,
816,355,947,382,625,009,700,042,996,172,570,285,138,867,198,966,282,242,386,
090,418,208,181,454,247,580,456,037,424,432,440,284,308,036,010,194,390,401,
007,713,931,184,177,767,885,095,408,283,720,543,702,211,813,009,974,008,731,
329,304,055,064,718,037,723,222,469,308,002,086,682,186,230,295,048,807,768,
385,466,543,846,406,252,957,702,412,956,493,830,157,120,136,802,870,747,026,
431,979,428,428,502,807,002,027,986,972,399,489,765,708,307,952,127,212,130,
791,147,961,970,800,697,049,030,056,181,171,745,567,090,677,110,793,465,352,
028,431,615,513,577,573,289,274,858,550,212,464,136,318,945,883,313,107,212,
078,709,729,821,107,160,303,875,696,137,283,520,323,475,845,688,208,343,980,
046,011,046,870,989,958,444,491,115,535,016,311,484,781,547,519,396,258,993,
120,306,780,358,417,693,471,201,198,324,686,456,998,711,690,236,302,950,250,
414,945,191,771,325,243,173,334,551,146,927,187,703,744,380,375,586,111,297,
024,086,255,266,876,390,911,520,695,055,153,406,435,077,331,284,994,056,692,
751,309,954,876,653,718,239,997,385,414,880,264,727,453,956,620,124,216,994,
971,130,238,924,306,728,381,737,783,544,395,216,705,389,751,833,776,180,136,
134,171,160,980,539,908,069,815,386,963,148,984,300,148,440,486,773,590,667,
969,200,893,910,376,212,954,169,851,607,080,643,646,414,566,571,900,892,743,
273,733,974,745,782,131,327,660,909,638,421,467,035,154,800,498,502,471,283,
575,733,784,472,644,808,950,794,484,213,918,003,324,676,287,912,483,581,662,
558,995,927,637,562,456,255,050,766,000,867,958,362,031,850,177,142,287,198,
375,141,883,011,372,615,617,508,246,106,444,365,129,969,682,620,014,524,204,
675,553,010,581,490,763,920,633,665,919,747,671,749,934,207,915,625,461,323,
653,684,340,656,069,030,507,119,720,291,975,311,071,766,964,313,395,761,404,
791,622,039,714,750,470,537,536,592,716,820,082,195,743,779,138,001,519,819,
094,176,789,597,155,567,259,574,132,454,177,741,161,151,133,737,256,419,705,
374,651,610,674,257,026,498,204,229,243,066,670,095,944,902,023,793,618,881,
013,159,494,949,744,953,221,596,811,047,146,063,443,258,453,951,847,238,806,
742,582,690,013,591,359,519,318,599,698,709,404,625,150,233,427,559,373,846,
687,648,430,222,575,673,262,541,753,028,188,429,776,080,781,386,664,862,309,
163,183,395,478,212,907,543,175,254,290,191,822,099,337,487,592,798,091,219,
586,771,952,322,935,524,229,168,148,101,002,332,701,593,118,907,508,414,946,
565,687,619,544,517,233,513,399,118,825,222,344,633,840,973,814,668,201,470,
550,895,442,048,979,615,867,346,047,720,413,635,630,819,649,418,107,614,526,
881,373,163,964,044,696,083,222,284,929,924,893,217,683,965,047,828,689,133,
871,245,424,339,359,822,167,359,072,147,807,420,137,987,043,727,066,857,698,
168,784,009,763,920,760,830,798,114,481,305,448,928,179,587,976,586,208,791,
755,759,129,057,588,129,672,226,488,267,757,063,410,739,252,450,635,890,679,
993,521,821,257,732,557,398,410,153,487,071,312,272,315,974,531,669,035,396,
452,041,787,527,940,770,317,459,404,903,371,092,687,878,899,804,824,883,548,
256,626,864,755,433,520,634,537,093,589,792,370,299,380,628,981,212,640,633,
245,746,472,285,241,655,314,370,581,786,524,635,657,854,421,028,829,996,910,
649,730,314,847,338,941,574,285,885,172,763,151,761,475,169,490,437,733,248,
717,702,880,274,368,706,742,673,670,764,962,919,733,326,982,146,339,079,583,
019,117,580,525,317,588,584,641,902,587,838,105,462,416,193,768,892,007,921,
541,786,318,322,414,157,564,550,449,944,832,271,762,515,597,408,578,545,442,
574,346,273,830,131,666,725,394,897,796,106,947,750,157,497,502,973,361,243,
264,483,287,998,105,174,385,002,865,258,925,018,716,809,695,785,849,153,918,
783,104,571,867,976,847,771,348,514,938,845,501,869,716,950,049,588,635,337,
349,264,969,815,126,498,041,755,077,076,242,877,037,142,410,370,114,981,251,
329,124,376,042,756,266,872,727,860,404,695,124,676,146,271,293,617,902,895,
429,668,589,446,449,634,225,946,755,134,243,069,817,296,144,039,791,321,803,
269,353,621,123,608,728,785,698,825,309,594,699,013,502,455,446,190,952,199,
812,473,964,674,476,825,319,247,660,653,892,864,879,277,861,337,868,535,347,
916,299,829,260,231,509,571,639,614,870,157,904,967,656,375,733,265,549,113,
856,136,581,600,130,977,349,505,145,232,558,116,254,502,867,281,527,191,638,
876,256,909,486,441,167,312,163,828,764,430,655,482,286,063,329,727,253,999,
894,720,538,731,689,422,547,644,558,352,754,643,463,182,451,018,104,469,798,
763,741,387,540,573,573,993,552,993,156,103,541,395,371,550,795,427,449,840,
625,088,109,844,398,384,024,048,421,281,562,901,974,127,449,059,808,673,833,
564,349,681,017,625,189,341,621,933,288,367,590,581,208,036,318,064,755,955,
713,462,037,072,734,628,835,000,942,379,116,723,065,772,006,778,062,266,063,
377,489,005,427,167,136,983,945,136,124,977,594,112,194,580,581,962,676,784,
653,966,094,226,620,996,529,630,123,158,879,716,535,939,891,217,431,888,641,
030,643,006,210,263,272,977,871,196,546,153,837,108,379,495,342,580,937,492,
518,580,731,489,841,715,734,619,591,470,708,112,487,668,278,987,040,903,963,
966,209,174,068,011,464,209,587,156,231,260,599,685,091,875,598,815,711,831,
882,934,227,271,651,995,527,937,257,814,457,694,949,809,375,764,703,858,977,
461,453,340,627,511,056,769,477,971,375,557,668,790,727,293,917,858,602,992,
366,254,957,980,463,635,781,277,714,880,249,526,004,683,341,200,769,727,093,
641,288,310,551,700,243,327,433,954,659,078,272,687,044,294,568,653,948,889,
874,130,977,374,781,692,973,280,279,077,754,426,464,803,956,412,761,331,152,
691,257,684,468,294,985,160,429,637,934,408,504,038,230,120,841,835,599,166,
640,627,604,047,852,459,795,492,234,883,319,682,348,367,672,000,894,563,550,
996,557,081,281,814,827,653,387,231,587,193,565,822,970,834,456,433,363,121,
507,125,204,541,714,918,684,071,704,358,133,669,229,587,835,576,995,122,461,
809,008,564,180,928,108,302,302,082,324,492,609,255,910,802,789,794,230,667,
102,532,961,760,618,461,714,930,787,336,204,216,440,993,224,681,361,274,174,
356,622,007,984,255,266,835,321,654,225,573,001,342,914,578,563,194,890,016,
794,453,068,597,435,982,800,255,595,266,597,634,600,115,942,570,068,956,816,
608,503,698,742,158,423,630,511,594,549,462,020,142,080,873,681,556,329,889,
583,640,815,593,812,928,196,853,650,857,694,133,247,493,032,246,265,220,571,
255,285,823,938,680,152,643,270,174,971,223,452,431,480,135,689,795,231,013,
006,438,185,566,394,100,165,486,787,375,354,692,010,487,662,015,929,265,987,
387,007,878,006,421,112,681,736,022,316,969,407,184,177,444,173,315,202,809,
226,646,146,294,830,093,958,790,944,807,610,362,932,054,422,558,402,808,458,
521,630,771,816,323,422,674,096,712,830,431,916,640,297,823,851,271,352,896,
199,820,333,534,456,268,616,662,199,606,283,822,583,182,275,847,633,606,321,
721,714,680,243,803,506,020,775,058,690,276,066,436,195,373,714,888,465,935,
334,622,906,571,238,682,351,597,195,945,132,721,874,848,660,327,875,080,474,
530,702,387,591,066,156,782,694,957,272,610,166,072,655,946,812,887,634,796,
531,137,435,323,438,295,101,401,935,120,433,313,075,432,262,341,247,771,411,
846,458,359,128,501,147,796,127,586,044,337,118,892,792,707,880,757,796,610,
244,243,192,878,553,150,596,618,608,958,771,448,576,395,395,857,361,288,621,
949,083,621,373,097,590,546,995,345,981,535,671,127,034,869,349,323,296,783,
904,594,063,886,195,104,396,513,016,937,117,594,803,095,900,273,977,611,645,
098,790,211,621,569,031,272,902,324,110,387,459,100,488,555,211,757,132,350,
550,367,929,745,211,032,734,711,102,852,183,417,377,239,459,150,057,029,252,
663,392,866,201,363,553,633,437,386,421,015,367,751,865,981,858,624,078,066,
473,813,981,260,294,734,563,705,997,309,393,172,553,675,475,608,404,933,883,
193,277,291,302,904,045,705,054,770,817,552,658,488,067,351,164,818,498,776,
348,620,378,954,366,406,342,093,860,298,121,725,986,191,285,054,216,285,692,
052,700,547,930,849,667,029,262,567,891,765,926,540,290,448,192,414,181,779,
022,911,358,970,883,839,569,226,236,443,508,345,451,905,836,693,076,301,736,
087,303,349,265,823,368,308,234,995,657,293,108,334,858,933,703,533,243,075,
465,876,686,094,403,577,386,639,506,228,247,126,063,895,283,668,298,994,095,
215,042,470,542,284,919,348,226,412,758,263,587,573,616,817,482,768,023,270,
536,223,724,081,342,683,394,276,623,627,923,141,424,967,010,042,176,355,013,
593,975,304,074,553,053,041,331,894,774,750,682,762,804,849,684,593,732,666,
671,862,531,726,880,262,200,302,745,870,130,914,682,972,289,356,878,244,621,
641,787,083,161,516,006,907,248,343,283,941,431,305,351,979,878,829,351,149,
849,957,266,909,671,651,027,967,616,661,235,568,075,507,463,809,684,619,310,
459,231,422,883,865,875,555,716,756,627,330,146,541,390,940,725,134,929,885,
958,826,256,337,233,398,917,302,279,432,722,541,456,341,621,897,592,860,818,
084,358,323,257,274,736,956,847,808,517,176,707,394,505,494,163,709,854,990,
543,400,040,798,535,842,311,870,684,974,387,926,233,501,465,648,234,921,095,
766,618,217,465,332,330,395,652,617,746,789,856,339,661,446,836,837,975,385,
005,988,335,235,720,193,479,974,767,384,698,403,005,868,534,481,286,528,360,
085,279,520,030,246,046,388,039,265,646,808,396,613,806,008,450,396,513,626,
425,107,925,330,844,389,484,189,122,315,812,257,264,924,982,343,107,884,283,
177,738,646,143,531,211,449,206,929,019,843,460,397,259,536,521,893,303,196,
275,537,900,926,901,219,393,092,551,917,506,767,913,083,738,686,263,724,074,
778,192,437,778,124,592,536,395,755,889,036,651,695,034,968,878,323,917,854,
739,518,842,516,469,648,494,045,769,186,667,853,625,047,704,834,771,710,242,
941,560,477,930,007,659,404,579,432,510,705,068,390,278,643,763,789,466,852,
695,913,294,150,362,597,533,906,569,937,513,591,235,773,066,293,088,396,909,
000,543,808,061,962,155,523,234,577,291,276,982,568,728,280,870,513,548,950,
286,230,939,135,209,369,443,564,581,498,377,304,159,276,584,541,512,460,407,
285,936,914,043,474,599,095,048,204,388,762,202,960,784,561,405,242,965,231,
046,757,407,923,522,610,317,164,092,074,373,795,417,826,864,343,561,255,219,
249,661,279,707,341,159,431,151,463,850,972,599,877,883,828,866,751,788,217,
978,354,860,254,398,246,961,992,493,868,910,281,786,517,889,789,137,928,803,
223,527,390,840,348,363,451,616,023,394,908,981,852,582,474,596,919,688,593,
503,923,111,231,929,221,947,366,953,735,564,437,144,051,759,963,083,561,447,
534,760,985,424,860,802,655,092,713,172,464,011,420,190,217,135,402,941,714,
209,903,575,574,499,208,642,349,345,430,927,430,089,145,222,811,783,119,086,
523,857,601,864,968,396,443,534,609,272,060,800,560,702,915,304,586,373,208,
137,978,466,805,572,673,860,854,634,038,380,272,421,987,724,938,195,651,862,
724,779,820,275,832,145,214,339,845,024,646,216,757,818,240,417,373,178,119,
251,843,380,762,138,194,463,288,705,776,438,495,879,706,355,522,110,287,296,
634,060,244,604,311,768,903,558,831,179,242,896,653,703,826,228,483,019,847,
769,454,500,908,883,891,408,757,713,364,803,035,724,053,617,482,685,355,724,
296,119,961,776,772,386,242,784,391,142,704,604,196,577,730,011,365,584,177,
112,758,518,181,621,349,956,810,985,262,363,270,560,546,503,110,776,866,619,
082,466,597,411,681,255,570,045,811,230,325,677,191,761,670,990,188,738,738,
084,088,726,106,771,178,803,819,097,262,462,517,593,571,931,001,565,239,873,
670,885,896,909,730,794,919,169,964,157,894,870,179,285,272,442,617,936,246,
768,059,888,650,294,471,573,061,809,593,178,073,495,753,238,275,797,785,326,
020,553,850,567,658,757,331,712,085,415,825,729,246,056,389,629,328,026,107,
091,206,140,053,473,626,644,236,662,908,860,011,754,946,541,471,554,300,327,
037,737,109,310,625,387,391,577,075,386,768,749,881,439,003,979,302,013,095,
347,679,706,594,754,218,764,817,102,205,553,859,935,362,522,401,799,299,598,
572,435,905,619,175,488,030,092,860,508,574,880,103,784,659,835,472,187,919,
427,485,824,331,382,796,269,604,225,256,987,084,030,293,403,513,516,686,260,
895,779,721,821,546,646,571,240,710,333,474,795,214,932,983,071,709,374,008,
794,806,998,085,534,425,062,538,864,702,010,748,951,990,054,158,533,987,146,
608,899,730,801,135,634,856,916,476,494,184,945,805,969,352,000,933,459,113,
453,175,647,579,402,852,423,086,121,529,347,959,426,638,704,331,310,341,276,
946,223,639,948,973,404,782,284,609,528,128,506,003,308,401,042,744,510,749,
256,286,659,023,669,045,679,228,504,803,035,392,836,659,133,258,421,541,435,
409,695,019,563,565,102,166,907,058,355,729,197,889,457,356,574,706,894,663,
067,964,471,098,804,997,566,499,192,805,491,690,062,330,574,627,756,699,735,
487,712,009,993,331,645,903,876,518,191,143,720,761,727,550,567,378,277,624,
447,420,504,130,572,042,748,312,461,702,732,729,148,038,091,848,811,173,836,
516,118,080,242,403,837,293,612,751,348,085,576,580,150,245,144,662,882,060,
524,556,837,113,349,644,495,227,675,707,152,353,266,892,612,019,081,535,995,
845,847,507,110,573,866,353,103,940,035,279,236,542,195,038,432,463,610,080,
779,123,069,676,812,575,098,169,520,752,021,808,792,946,422,785,546,974,442,
001,819,465,401,676,247,641,177,529,533,217,481,975,339,674,366,090,567,373,
176,492,211,791,605,438,610,825,279,986,512,492,861,030,473,222,728,449,255,
176,050,206,942,989,019,526,709,299,958,188,539,472,305,505,499,287,529,388,
780,061,769,370,485,839,699,037,736,277,862,409,624,629,777,146,498,304,362,
330,553,019,356,765,709,783,660,577,967,266,661,239,212,209,263,606,748,424,
983,331,074,334,826,170,887,457,095,192,497,023,326,369,087,960,919,906,287,
569,608,119,691,500,695,893,827,558,518,941,713,451,730,944,555,288,103,449,
567,908,974,435,037,810,855,347,849,856,711,133,111,595,861,774,376,953,008,
736,214,161,637,831,174,172,889,048,136,244,639,797,799,371,642,959,975,550,
419,712,735,964,517,639,324,409,807,849,206,836,845,287,309,437,714,051,609,
324,255,087,316,347,296,447,539,522,599,063,444,583,324,102,315,378,517,389,
410,693,364,137,548,113,944,375,699,396,425,574,213,886,407,951,580,827,813,
274,191,357,358,694,025,930,050,397,649,972,300,719,871,287,009,327,360,862,
178,034,129,678,981,638,254,689,028,952,758,840,795,977,444,931,358,023,764,
728,650,413,362,244,074,922,616,916,082,913,150,975,447,923,220,190,541,223,
339,824,482,350,939,127,891,943,394,256,771,660,670,229,925,515,825,189,638,
623,369,695,329,554,287,062,483,379,554,237,861,771,214,623,377,766,382,567,
437,093,044,561,301,506,657,359,434,902,632,938,956,681,807,495,791,891,701,
998,985,717,924,250,999,471,890,273,398,565,070,405,866,734,823,298,237,034,
493,729,569,259,847,151,728,459,422,485,082,565,908,265,737,069,919,748,537,
175,666,967,932,496,722,766,956,063,707,890,322,183,479,731,197,859,448,677,
537,781,921,680,470,223,020,852,478,772,917,570,065,967,007,428,147,975,405,
114,319,309,943,602,037,783,660,713,242,206,859,835,005,714,588,498,395,599,
304,595,712,723,439,536,602,090,182,931,019,071,240,361,234,876,698,149,099,
070,486,441,819,947,199,340,779,618,004,637,022,812,030,381,429,907,519,006,
297,875,841,284,834,977,480,566,956,101,226,064,362,851,842,551,226,751,934,
077,928,270,106,324,788,442,296,086,576,020,016,991,790,917,966,784,595,417,
296,140,108,889,178,871,848,110,222,308,266,677,415,571,137,910,454,835,859,
775,116,942,116,529,360,220,287,016,536,350,428,090,654,941,058,888,442,927,
241,874,548,967,348,459,953,296,816,869,595,926,186,553,186,731,210,492,606,
416,286,947,622,872,610,365,398,496,400,086,116,185,820,547,115,496,214,735,
283,693,914,492,386,632,897,991,885,104,012,574,166,157,309,326,939,788,661,
077,333,660,563,921,495,547,787,086,195,328,373,131,265,046,258,573,348,673,
862,955,305,445,127,173,173,476,136,757,994,475,556,421,348,946,178,327,804,
060,569,421,431,619,093,225,307,028,796,638,746,770,859,760,313,071,970,719,
875,483,411,135,945,681,852,669,377,167,219,395,391,302,828,056,603,650,181,
794,734,345,664,988,127,928,491,556,487,872,829,576,173,575,943,746,889,268,
149,213,758,907,326,822,771,042,912,070,472,477,290,705,631,850,508,646,612,
160,148,390,052,624,733,409,345,906,939,719,915,981,165,298,395,839,366,871,
434,908,161,724,940,685,850,867,256,228,745,700,780,339,094,838,789,631,733,
493,144,382,340,347,015,515,296,116,838,455,922,144,376,004,327,466,406,508,
506,003,599,223,334,866,555,815,896,028,469,373,024,634,175,580,376,232,005,
014,987,393,090,195,304,037,321,433,489,900,013,035,889,263,951,593,505,068,
651,208,653,335,256,909,815,191,418,697,663,467,646,333,495,466,446,869,526,
994,781,346,859,427,903,199,633,055,119,842,207,621,956,741,067,270,810,931,
094,280,777,680,771,336,403,230,923,346,696,524,157,212,938,733,958,320,286,
637,054,557,857,946,515,775,200,716,224,772,003,656,848,241,951,218,867,808,
277,070,842,502,912,864,410,858,103,724,096,349,740,861,009,199,197,035,097,
463,806,003,596,149,478,214,761,115,833,968,998,434,453,602,424,916,094,234,
406,733,808,103,974,036,811,058,917,994,273,857,037,972,734,555,134,731,687,
013,035,445,165,766,785,379,131,320,356,909,647,904,006,801,265,871,743,807,
885,412,779,761,497,243,364,085,010,252,366,580,788,378,965,777,045,660,933,
909,294,311,519,829,947,809,556,070,855,254,580,046,251,758,549,283,282,832,
210,353,835,146,708,797,964,175,759,577,689,986,972,344,029,260,045,750,975,
202,843,983,276,681,342,256,460,647,782,101,882,033,137,774,971,137,470,628,
657,297,742,459,112,547,082,449,485,600,091,248,033,283,605,197,233,745,800,
795,587,393,509,207,356,641,794,659,981,620,205,667,023,749,516,242,462,427,
306,125,110,269,626,082,092,725,954,022,673,581,537,055,154,603,735,342,034,
220,233,759,609,396,707,360,539,595,335,758,526,096,734,335,906,288,098,575,
899,110,892,682,572,299,241,980,546,185,428,125,407,264,595,236,744,799,476,
694,583,756,093,157,674,729,046,282,799,461,484,919,985,457,070,721,103,696,
968,785,372,332,114,410,676,068,767,719,447,158,857,686,459,314,552,116,765,
470,591,427,783,902,287,615,481,231,514,554,614,721,035,145,696,204,984,911,
788,807,107,642,983,113,553,678,046,276,265,195,043,092,567,602,324,183,535,
437,097,633,864,581,505,514,116,624,176,163,115,360,047,275,324,807,546,264,
923,843,824,290,685,736,121,051,451,470,792,619,667,114,702,506,960,816,485,
283,086,361,558,217,064,305,770,089,905,354,103,769,818,223,232,736,954,626,
743,022,950,340,115,673,879,969,286,059,847,366,306,153,898,239,310,708,784,
151,414,020,176,050,424,607,666,261,311,130,673,150,258,152,869,505,031,328,
970,580,432,960,404,236,446,996,972,000,576,109,886,037,469,746,942,190,239,
339,567,321,529,586,320,049,337,286,857,681,702,107,352,712,534,909,660,893,
744,787,441,391,292,165,811,609,726,514,949,944,145,854,649,599,068,528,282,
638,187,076,583,637,282,876,489,580,821,107,985,076,189,411,841,473,702,855,
347,945,673,701,013,325,634,844,763,345,414,356,832,185,237,615,486,215,132,
157,610,079,935,698,088,411,065,316,124,980,265,906,657,937,508,479,556,663,
280,779,231,238,911,577,490,531,201,814,326,309,822,558,925,741,650,402,799,
525,938,369,575,745,830,492,957,504,753,206,859,472,473,431,975,582,933,704,
351,742,262,725,928,916,315,152,654,094,582,098,382,395,881,039,019,030,630,
092,866,430,403,758,640,746,371,909,008,603,964,639,428,145,731,811,631,490,
223,142,956,453,066,788,494,250,760,009,510,195,970,502,880,874,569,436,667,
282,469,265,020,876,687,674,772,317,651,361,772,399,136,073,543,050,028,495,
460,408,674,180,457,277,716,906,171,333,694,646,099,590,455,878,807,968,761,
420,818,749,487,137,567,653,685,311,784,332,856,044,863,216,657,247,774,108,
889,627,607,805,701,069,324,918,773,539,247,356,140,214,796,463,388,186,605,
897,916,618,144,160,174,938,544,541,087,609,586,317,547,586,035,062,139,768,
011,218,209,169,209,468,413,906,212,585,127,402,674,783,194,817,283,745,144,
986,294,512,882,453,019,658,787,328,504,948,676,215,929,732,424,916,127,241,
151,179,934,191,829,519,656,930,707,564,768,936,522,278,776,397,689,205,349,
131,815,560,688,949,047,605,646,319,465,440,332,492,495,144,941,584,345,751,
279,301,499,838,462,757,860,984,002,035,873,891,129,673,602,350,074,583,388,
901,608,601,108,751,396,016,017,452,973,671,970,605,493,356,281,942,934,955,
564,260,821,839,106,733,164,948,256,125,434,153,348,757,432,373,811,974,841,
876,000,657,721,920,920,437,365,520,754,289,608,145,492,365,774,641,825,988,
728,761,436,371,846,679,856,975,465,032,213,804,129,071,167,767,702,447,636,
338,764,097,630,655,968,169,302,739,029,836,776,240,352,211,465,779,798,894,
986,341,233,974,576,633,265,218,779,277,809,554,522,367,213,050,270,930,994,
958,614,187,918,860,702,921,825,939,629,641,512,240,165,047,789,134,137,844,
977,817,313,765,444,599,802,514,594,846,974,559,886,075,872,173,904,949,424,
783,992,727,869,928,581,683,079,258,498,993,261,803,374,671,782,548,671,593,
868,765,325,796,933,158,365,911,814,910,833,878,493,760,558,986,555,254,396,
068,343,355,166,461,741,154,616,204,358,317,321,602,485,219,213,499,486,685,
272,424,028,373,172,738,638,832,295,334,534,077,199,178,919,497,001,377,621,
277,041,373,853,754,010,720,735,145,842,570,987,946,264,279,337,371,767,218,
933,879,221,366,675,043,178,416,052,883,942,540,762,531,451,541,261,056,862,
820,715,338,554,930,488,598,757,034,760,996,304,870,941,127,225,857,514,731,
598,407,051,593,125,745,209,624,808,276,968,642,119,019,288,236,705,314,245,
746,162,444,701,294,936,209,984,461,131,640,963,266,265,228,869,615,822,816,
728,586,082,530,086,697,560,117,065,252,165,072,140,368,718,709,180,781,839,
415,490,146,502,268,848,629,977,184,154,545,254,004,359,607,158,843,795,780,
575,947,434,064,913,860,454,410,279,248,076,839,006,356,728,340,135,315,295,
661,201,453,009,416,499,406,383,156,620,701,127,009,990,977,607,002,530,479,
737,843,055,501,625,628,518,642,935,274,379,433,905,114,993,790,313,714,680,
619,375,332,137,596,767,319,696,765,845,050,274,125,943,160,566,780,566,831,
380,381,193,043,738,190,272,641,789,380,072,778,742,553,237,585,821,765,496,
704,846,112,806,118,833,986,471,824,049,201,855,113,613,598,433,460,675,562,
840,551,006,586,212,144,964,420,509,055,741,180,021,384,231,037,273,648,846,
887,808,614,535,409,799,465,817,560,736,016,122,737,634,731,855,869,837,732,
975,603,316,682,480,156,494,399,745,599,346,377,318,876,272,250,619,853,307,
734,922,247,928,644,285,861,323,466,170,204,129,096,415,399,859,005,374,154,
661,122,786,469,718,403,949,040,834,636,319,570,138,825,115,196,081,030,511,
853,576,788,388,242,611,620,868,810,713,236,598,581,226,340,737,005,910,560,
728,126,759,315,937,422,213,416,993,488,056,060,417,148,167,420,716,626,955,
802,381,711,380,458,278,543,238,817,624,345,332,545,187,128,665,710,772,302,
240,713,764,201,523,770,950,605,639,006,923,990,641,784,806,199,352,643,152,
172,160,443,390,008,068,862,022,738,476,319,041,616,311,028,248,827,181,341,
177,895,956,930,234,602,675,219,614,186,720,382,410,103,782,812,024,992,718,
715,791,837,832,040,760,941,795,814,447,894,125,304,059,411,056,623,474,244,
526,768,161,782,829,239,682,426,929,158,325,764,623,526,472,854,178,786,379,
961,803,716,740,815,955,521,079,647,406,950,040,106,160,636,830,475,138,546,
175,171,555,372,064,668,442,990,035,177,177,133,321,186,227,166,537,064,556,
823,577,598,472,825,537,305,346,142,041,252,024,893,044,248,672,681,910,972,
328,207,379,413,191,182,412,035,569,540,231,352,490,674,882,465,893,699,884,
100,313,012,652,830,765,561,810,631,283,181,334,798,772,001,819,910,875,811,
380,674,874,304,683,097,190,138,280,286,262,183,949,682,419,444,903,174,873,
296,746,349,819,817,252,226,848,384,396,018,820,512,318,449,570,544,155,645,
373,530,781,365,513,054,339,249,828,780,897,693,234,550,105,611,842,718,431,
389,167,401,026,618,506,862,443,316,480,067,152,407,110,561,102,080,220,962,
579,213,557,827,715,589,065,905,162,966,882,040,613,832,008,953,943,124,584,
414,556,685,153,146,752,493,821,484,636,593,028,094,133,556,735,198,246,306,
145,996,579,608,272,190,644,821,694,270,578,052,216,533,319,991,977,437,431,
825,206,998,133,871,972,582,474,090,218,304,476,421,761,453,252,794,225,957,
778,002,640,945,659,792,132,033,531,483,188,455,670,054,574,810,224,969,590,
097,076,039,108,978,094,841,468,900,315,223,015,544,271,389,115,107,263,525,
287,733,244,589,126,516,063,624,078,132,584,471,338,591,350,134,549,387,094,
108,420,534,120,995,476,015,382,570,102,681,346,886,833,254,397,242,352,702,
991,573,010,353,415,127,575,105,700,523,112,961,268,452,870,824,120,745,518,
707,393,228,342,207,298,654,740,065,058,419,813,676,071,643,621,406,880,366,
394,828,712,861,276,968,294,980,380,347,431,553,084,252,322,280,909,294,453,
723,486,609,730,086,215,202,457,824,214,019,193,548,632,021,914,960,297,908,
382,785,025,326,364,768,764,698,784,580,602,964,474,509,268,191,086,902,683,
730,038,343,348,410,274,255,899,872,866,349,223,354,185,928,434,057,033,996,
605,488,122,305,126,652,361,839,323,579,137,861,440,618,514,379,480,793,142,
809,009,201,955,213,755,741,504,435,429,728,968,954,396,971,354,313,325,000,
626,058,969,126,903,230,870,702,348,912,362,045,547,631,499,920,127,498,915,
315,262,566,926,621,108,607,142,033,099,799,429,347,290,391,907,513,608,752,
002,989,324,655,307,303,975,500,567,115,305,998,829,862,946,333,529,088,207,
290,296,368,527,179,409,702,977,450,611,566,182,789,091,903,460,548,480,262,
112,779,259,226,316,954,435,115,132,289,961,651,416,624,005,804,682,492,261,
926,659,888,832,065,728,759,108,049,151,174,796,411,102,681,133,947,561,908,
434,473,755,146,704,367,878,611,035,905,113,011,633,805,477,897,728,287,231,
925,994,628,375,682,401,163,646,451,825,398,676,937,717,637,360,054,518,441,
245,453,283,006,096,929,250,491,644,335,283,330,883,901,412,929,546,486,637,
350,784,358,071,584,580,202,202,406,226,342,455,197,252,637,331,711,736,419,
540,786,049,223,537,961,389,740,147,180,058,437,235,291,937,919,442,856,594,
562,579,801,446,194,957,984,428,686,518,843,788,357,972,425,704,031,259,983,
730,050,602,118,389,526,426,587,057,303,746,032,945,023,468,754,579,580,853,
065,380,764,620,051,930,087,315,945,104,618,102,926,024,518,222,158,984,005,
321,248,971,719,736,303,291,072,481,150,455,391,805,070,751,799,956,296,420,
409,429,237,986,542,079,229,979,196,172,239,030,220,862,841,133,454,290,006,
349,881,661,479,576,071,324,715,312,585,277,690,613,004,450,416,851,712,775,
521,643,009,864,027,844,754,204,195,948,745,402,424,482,256,436,092,985,554,
726,282,099,305,232,083,900,484,274,033,386,433,775,324,356,429,782,160,304,
652,457,298,053,702,778,701,418,906,615,875,513,591,411,442,954,812,225,621,
313,872,341,314,888,687,758,687,425,699,894,019,969,343,747,062,193,371,849,
338,618,088,927,340,143,300,166,133,496,955,438,332,771,031,899,900,964,014,
652,991,978,576,145,474,232,570,592,213,275,782,167,213,006,200,604,870,902,
372,759,462,399,704,650,404,750,878,614,291,685,152,302,426,948,256,343,284,
521,315,237,559,663,357,788,005,474,980,411,739,949,117,647,795,546,629,954,
060,710,533,797,021,007,493,700,174,829,948,701,703,991,465,750,599,869,101,
438,733,101,487,694,421,806,045,399,355,433,549,263,990,144,988,769,236,338,
347,649,727,277,892,975,425,927,123,727,203,839,923,780,817,275,505,381,031,
278,318,289,304,149,862,724,544,661,704,815,090,549,954,791,571,757,574,357,
660,180,109,154,774,980,528,977,264,461,483,063,188,255,700,831,661,125,662,
944,665,353,588,387,336,862,442,150,356,386,501,823,060,343,818,884,928,425,
206,858,163,736,855,092,136,944,890,636,663,896,378,696,802,190,770,323,248,
846,358,006,131,559,558,767,856,752,201,069,506,864,957,255,988,056,190,183,
287,599,943,482,801,011,346,261,555,411,425,479,765,315,756,815,682,514,935,
075,992,438,978,772,498,025,913,238,188,633,817,846,086,691,857,454,671,810,
773,986,213,857,216,384,285,171,991,439,600,756,353,749,699,864,664,764,090,
707,201,551,950,066,257,012,137,831,845,239,243,457,118,324,276,127,884,947,
850,629,239,819,309,947,488,050,696,132,008,413,999,327,083,922,633,406,870,
315,720,792,875,218,383,796,568,465,874,327,642,268,327,327,307,507,239,985,
200,871,092,967,044,211,829,032,850,671,882,280,054,307,964,506,490,937,528,
212,736,399,903,647,089,970,081,316,542,629,248,208,949,494,705,366,904,065,
152,369,329,094,459,087,062,320,352,007,682,272,819,937,635,868,570,402,763,
614,808,711,775,902,225,426,821,317,582,732,625,705,699,640,011,046,423,475,
674,702,113,398,482,680,558,676,195,695,829,584,855,418,236,365,487,491,953,
462,393,436,242,772,103,828,400,255,751,046,930,432,098,965,374,566,501,840,
319,712,889,480,375,057,114,405,045,427,597,687,349,421,725,923,003,783,593,
284,845,335,638,312,717,088,760,354,160,124,589,522,917,468,170,112,091,677,
106,965,984,972,914,459,799,711,583,848,951,148,458,097,848,083,922,882,899,
132,881,265,072,316,784,166,633,069,022,316,253,663,535,730,114,914,520,135,
234,655,386,203,912,749,938,471,884,933,309,857,148,978,291,818,235,544,551,
259,594,841,022,389,620,357,945,890,140,587,907,665,372,497,154,310,935,846,
904,527,080,463,478,164,860,466,561,550,562,700,020,662,601,952,754,744,314,
085,871,651,004,278,781,599,084,621,402,877,086,344,168,241,969,588,116,287,
357,775,341,089,500,023,476,460,868,443,437,553,435,575,797,309,195,305,705,
655,254,971,105,231,638,433,790,130,992,380,070,729,863,539,963,820,796,527,
001,455,054,803,842,182,146,484,819,320,117,388,165,756,379,648,123,161,986,
290,129,842,679,211,748,347,420,320,831,982,928,309,925,710,713,374,844,070,
677,608,211,187,626,314,239,160,977,074,077,572,040,209,024,198,426,091,104,
412,946,809,789,060,677,565,999,253,277,697,887,507,760,426,568,841,020,103,
469,840,416,425,515,825,084,959,381,490,247,196,079,920,116,260,607,123,201,
917,543,939,536,117,167,650,325,790,236,804,089,318,275,869,250,384,777,962,
313,107,398,977,879,904,424,993,390,294,909,046,854,010,177,840,181,611,321,
777,575,384,573,654,550,493,288,470,856,376,461,886,362,586,989,385,371,154,
098,810,015,067,534,061,970,499,172,693,035,658,006,784,604,309,068,015,262,
769,064,242,569,146,314,001,841,064,201,167,750,417,629,416,315,807,651,388,
631,186,320,836,067,183,155,765,965,970,825,582,515,098,020,042,772,215,518,
819,083,664,675,720,626,595,367,879,115,424,061,695,361,756,930,535,882,305,
979,287,665,476,917,554,935,660,508,703,234,634,318,938,191,454,618,759,063,
638,895,395,883,990,529,285,345,106,773,512,397,235,293,447,457,803,085,348,
251,560,952,539,320,328,753,677,957,266,190,871,595,996,895,135,991,357,380,
511,209,763,009,940,629,258,526,736,030,957,615,959,814,412,112,604,466,184,
146,747,744,954,697,376,932,013,914,196,516,279,537,214,741,564,479,686,766,
290,181,307,170,402,932,774,817,328,680,193,859,044,706,316,636,584,790,761,
176,706,022,918,452,649,784,860,768,785,476,402,517,542,367,082,515,259,690,
418,325,141,379,841,364,925,027,217,083,495,316,193,184,674,367,345,006,510,
494,205,131,524,965,490,978,792,230,675,440,047,143,654,225,564,835,709,292,
725,290,276,322,347,208,740,784,115,373,562,948,127,800,244,785,578,450,418,
583,733,250,417,972,074,442,659,615,401,930,208,223,292,093,943,011,979,924,
621,959,134,980,664,605,469,365,148,631,904,728,613,037,996,873,792,916,430,
553,784,635,429,004,648,953,868,506,509,343,311,214,551,095,353,904,186,539,
293,216,480,162,425,598,602,837,162,799,990,234,044,299,591,089,322,622,509,
696,079,598,888,826,011,940,880,670,644,195,526,994,691,649,360,094,248,075,
007,877,215,332,532,255,141,229,227,461,516,074,877,609,945,598,598,506,579,
800,095,214,214,065,179,147,546,196,770,184,797,155,970,393,144,359,883,682,
314,565,287,705,600,314,184,851,005,905,261,244,054,669,005,411,164,912,416,
774,047,687,894,892,794,495,553,469,472,838,429,330,404,094,237,577,762,985,
830,300,301,356,552,930,680,660,615,186,531,493,571,858,845,701,658,323,425,
378,162,594,108,972,667,244,018,203,267,832,928,554,500,177,706,211,923,301,
037,360,190,975,370,053,081,586,147,177,758,794,180,162,105,184,345,184,309,
842,438,431,268,881,241,203,065,758,001,444,981,870,993,824,782,863,831,222,
459,857,749,936,033,235,363,583,509,138,684,761,604,771,871,058,079,225,651,
243,708,328,422,191,022,978,595,317,761,400,052,011,397,363,137,317,194,183,
172,278,081,797,557,174,251,670,713,386,873,870,625,756,821,781,479,428,216,
206,690,219,509,656,884,159,182,698,959,650,687,254,996,477,929,858,899,264,
792,444,005,493,478,353,039,936,348,245,552,554,581,321,190,167,813,847,487,
654,896,031,980,251,654,954,424,096,291,843,546,754,658,130,146,211,075,423,
954,724,965,503,935,876,545,851,844,245,564,782,479,143,888,553,771,359,665,
924,475,131,284,541,623,363,472,507,534,548,734,011,414,024,791,619,810,950,
263,979,171,778,045,399,993,106,074,646,325,819,055,843,216,697,972,451,822,
101,006,401,760,348,302,886,345,502,385,087,427,386,491,778,917,946,979,458,
098,543,249,215,118,130,708,059,719,908,516,933,671,776,512,303,971,726,731,
616,121,052,893,939,950,677,208,631,662,475,930,858,318,052,970,999,882,896,
757,868,723,851,179,188,039,003,233,757,683,526,057,921,054,385,022,831,101,
180,093,082,533,873,962,261,494,397,607,461,785,711,540,992,188,613,092,674,
223,738,553,789,845,808,276,023,851,727,481,148,817,657,155,709,031,303,500,
426,422,837,317,343,608,795,966,164,219,607,260,226,787,943,427,388,276,868,
266,581,090,972,786,845,132,286,457,407,255,976,348,077,048,340,388,018,516,
792,063,510,312,480,195,416,349,102,345,772,712,998,017,184,875,990,797,778,
326,165,510,517,396,199,950,937,815,564,405,371,653,131,510,134,094,335,243,
141,924,853,366,085,813,311,101,216,284,438,798,851,838,656,680,117,365,174,
800,606,226,955,153,981,080,590,297,556,545,242,964,280,590,737,714,530,400,
457,360,782,609,617,773,089,103,080,623,386,638,804,668,332,430,218,629,927,
318,507,057,455,999,531,281,285,314,341,056,077,908,092,220,982,142,524,522,
626,098,437,287,407,499,700,339,180,591,907,517,357,857,818,590,696,272,223,
885,782,866,481,109,771,161,555,606,486,341,411,079,848,458,250,889,408,596,
805,095,419,734,310,042,029,418,572,380,262,048,016,269,666,222,724,796,324,
709,773,068,605,510,737,451,240,693,557,137,881,522,887,034,700,851,946,092,
360,852,220,023,572,367,882,643,405,556,196,177,013,935,411,312,431,830,233,
074,448,315,461,324,477,567,669,043,358,061,116,123,434,869,736,738,148,904,
477,175,331,873,802,974,234,363,333,060,011,254,838,588,893,349,113,045,360,
480,242,954,609,971,994,686,369,934,707,336,459,222,259,104,001,912,114,230,
945,227,202,834,174,954,442,449,618,688,769,218,954,484,496,098,567,015,067,
129,546,119,695,719,747,159,750,935,171,938,024,015,863,055,986,429,918,069,
743,145,306,282,162,304,530,505,386,436,351,762,478,359,173,108,697,986,147,
004,475,528,553,453,756,646,237,837,446,870,147,580,142,740,104,893,039,034,
686,429,031,681,417,710,848,573,770,873,817,556,723,669,521,798,149,638,656,
105,632,157,895,014,667,458,817,874,280,702,273,000,943,394,350,302,566,250,
164,722,064,303,935,777,146,554,193,364,795,407,808,803,792,192,297,393,046,
008,926,512,169,161,206,702,677,835,400,895,442,475,323,683,782,746,969,808,
633,137,475,849,711,959,580,899,944,780,175,644,526,607,928,270,924,246,381,
284,390,247,930,475,621,207,448,504,842,467,361,703,632,637,485,563,448,029,
171,468,113,501,119,757,042,684,024,818,203,467,957,103,984,016,215,595,446,
280,503,240,635,447,649,028,545,247,589,165,357,196,844,344,905,373,737,783,
700,282,989,137,219,060,505,627,402,911,226,855,970,348,851,320,769,676,511,
744,243,289,782,756,892,559,754,098,352,046,157,302,838,734,132,991,783,374,
643,765,911,120,646,965,666,895,360,701,323,833,275,119,894,022,150,677,691,
134,308,744,134,813,012,857,477,006,692,369,903,347,895,689,041,182,574,644,
266,111,317,960,342,768,381,464,990,909,679,174,629,132,914,341,279,097,605,
448,485,720,756,866,943,076,129,241,735,341,146,070,834,080,324,815,057,497,
875,202,414,589,819,098,237,714,839,305,523,044,388,006,799,551,861,762,707,
449,652,569,703,532,898,726,095,151,533,484,570,983,933,215,233,421,984,153,
354,595,073,518,689,152,158,487,449,588,012,437,981,219,409,296,326,688,092,
955,385,264,820,585,829,359,809,824,794,922,111,071,875,974,281,514,791,336,
385,763,326,999,825,608,332,485,232,093,648,391,021,265,889,908,263,505,784,
327,081,460,541,805,438,202,446,912,724,828,786,080,574,393,397,212,816,653,
233,074,862,598,836,888,348,822,855,332,266,123,931,734,014,944,158,091,416,
587,429,446,862,910,444,763,693,894,568,474,344,035,677,633,750,825,560,015,
840,724,238,650,230,336,384,257,273,572,022,814,678,862,199,052,893,388,334,
524,954,121,848,181,915,176,139,432,461,417,341,462,008,051,301,035,666,644,
501,451,788,844,185,795,397,839,742,282,949,762,517,974,708,926,706,913,740,
524,666,006,119,284,983,817,879,975,873,025,781,081,037,627,733,487,204,940,
593,106,725,712,283,633,850,423,310,640,736,674,027,226,366,872,474,003,797,
853,159,260,598,857,602,721,720,938,032,538,023,646,882,275,764,731,845,692,
716,489,064,397,524,803,706,071,751,473,262,512,742,113,652,239,657,139,330,
370,666,424,619,073,879,884,065,031,243,223,544,267,836,790,797,786,273,198,
867,919,500,564,065,987,596,925,179,822,020,715,555,210,450,092,521,508,210,
353,500,538,226,982,282,921,300,257,252,647,499,854,254,995,711,159,866,155,
525,598,647,899,196,456,984,791,588,104,572,172,330,221,792,945,347,437,306,
109,404,579,077,032,139,913,359,531,805,680,169,446,882,377,869,414,214,824,
230,703,909,387,442,267,998,972,846,740,143,405,212,399,543,322,526,826,651,
605,949,569,037,720,222,270,913,286,317,497,795,988,442,559,286,671,528,912,
655,179,755,078,783,069,114,265,627,695,175,383,147,113,134,242,794,419,662,
899,680,866,151,855,191,820,015,004,432,171,512,480,507,239,546,001,287,492,
506,091,639,349,928,003,117,550,834,509,859,779,030,179,186,130,919,869,988,
662,909,478,830,881,722,467,614,172,735,909,301,229,654,028,456,121,658,177,
691,603,762,953,057,086,447,033,274,815,020,144,993,826,527,417,212,295,050,
542,220,520,382,761,677,859,168,355,017,053,351,247,962,836,076,145,115,810,
850,991,792,738,042,591,693,112,858,855,252,734,532,331,499,183,409,888,115,
930,171,818,878,247,547,552,931,613,085,042,459,844,788,297,884,344,171,807,
910,833,946,247,327,444,595,597,913,009,909,653,031,707,012,994,178,160,149,
772,878,520,377,996,606,004,670,679,412,930,827,530,608,498,493,005,059,802,
805,638,120,711,106,317,416,960,596,608,322,110,764,436,173,783,714,850,714,
998,944,351,696,371,274,875,133,951,908,540,047,101,459,340,505,186,235,249,
511,214,372,599,623,816,601,961,078,244,771,353,589,687,492,818,346,928,045,
276,369,173,285,096,244,511,930,137,067,008,561,644,451,481,395,415,617,660,
699,342,008,183,549,373,066,968,278,640,777,799,076,772,959,504,808,099,732,
507,545,744,819,166,393,596,043,628,535,035,799,225,085,672,488,914,325,768,
051,336,656,632,702,929,935,863,228,530,104,982,552,829,496,564,013,760,535,
630,945,540,980,796,824,163,068,588,916,539,267,303,985,076,652,253,712,673,
958,911,171,712,429,892,035,888,432,379,804,808,007,989,932,444,763,918,446,
285,022,675,534,864,011,543,887,196,253,062,619,344,863,303,279,161,248,497,
228,277,006,289,813,124,338,779,028,535,922,672,753,262,487,058,128,526,022,
109,202,456,399,529,199,344,956,629,885,572,925,600,795,832,337,140,759,177,
050,258,645,142,510,841,946,293,047,912,508,394,624,992,354,212,548,004,131,
654,438,610,022,923,526,346,681,393,932,755,981,483,000,991,877,649,728,985,
793,244,383,463,905,582,196,748,359,131,031,145,511,524,543,973,678,352,464,
110,629,175,583,438,539,213,214,023,176,161,017,674,736,232,487,371,853,584,
806,630,273,390,517,473,177,007,736,976,856,740,177,526,976,413,620,535,843,
853,601,063,783,466,733,077,055,813,432,399,025,482,088,050,819,915,886,675,
583,721,344,573,592,596,367,467,310,997,359,580,130,910,079,340,110,411,507,
536,575,187,879,125,154,511,729,629,050,550,132,832,887,097,801,979,784,381,
359,182,653,077,140,718,031,952,175,980,737,692,679,700,798,636,855,936,150,
513,152,133,387,618,405,214,346,152,205,767,454,986,165,957,621,912,075,554,
983,424,443,960,683,928,739,845,410,371,758,496,525,189,317,242,225,646,808,
059,162,013,932,355,278,889,221,597,025,005,242,338,516,880,192,899,297,919,
860,470,585,370,672,864,188,467,483,268,687,838,412,394,147,744,226,615,222,
274,323,663,875,363,943,540,013,151,056,393,131,787,051,175,996,509,835,631,
834,710,918,454,837,213,967,150,986,321,774,112,287,435,492,725,328,808,833,
069,169,798,678,545,628,965,767,869,492,747,839,057,113,283,599,756,973,049,
217,643,358,117,565,469,345,406,329,709,246,650,666,650,701,662,963,249,828,
423,637,989,769,270,137,342,625,433,267,469,659,700,830,924,219,166,178,926,
759,297,873,494,232,452,057,461,863,842,903,630,926,305,919,263,989,470,237,
478,038,660,606,593,320,228,119,922,783,893,226,220,009,053,282,705,929,336,
688,042,344,430,964,335,839,226,537,121,075,730,644,387,011,595,293,383,795,
354,031,324,960,290,311,747,562,636,419,929,458,504,241,803,071,148,315,404,
240,745,257,321,709,132,824,493,370,769,245,406,171,921,263,535,486,586,731,
912,475,487,009,661,097,792,995,106,154,615,525,571,794,554,805,955,541,342,
724,688,207,078,387,934,184,946,915,846,799,749,432,581,380,249,839,299,383,
986,217,032,171,238,342,334,039,481,246,401,285,179,823,652,932,909,858,806,
523,901,822,092,792,185,306,773,862,923,979,005,234,996,815,482,044,766,296,
730,348,947,619,590,559,768,633,882,425,475,996,531,452,371,143,105,247,474,
629,859,821,637,113,789,393,094,872,487,611,504,432,419,837,792,386,276,372,
255,270,078,911,022,052,209,891,780,843,402,692,835,576,022,693,466,445,747,
766,616,826,927,993,653,717,156,623,545,055,385,585,678,538,387,435,139,892,
705,131,008,803,326,410,872,994,794,244,618,062,407,678,967,984,108,669,797,
922,179,596,950,272,599,192,998,968,696,410,814,827,994,434,661,301,246,600,
496,524,083,682,279,178,336,878,808,794,564,387,368,259,372,292,139,024,990,
667,415,040,858,418,823,716,893,682,408,595,182,149,177,054,791,583,473,065,
435,723,010,320,909,144,377,548,802,441,960,706,992,471,581,509,709,591,112,
238,423,731,058,280,878,972,915,962,058,422,848,755,886,271,607,432,144,684,
383,293,905,478,638,298,707,382,586,864,094,164,628,641,003,052,308,505,299,
143,570,124,244,333,499,244,142,905,843,699,195,613,293,128,683,192,424,689,
332,021,798,379,874,011,211,504,935,824,517,097,496,795,007,551,182,780,515,
927,242,017,380,269,049,247,381,000,170,993,251,569,663,772,034,508,916,862,
756,453,922,307,447,401,814,414,406,765,200,924,278,067,714,887,909,862,167,
999,632,923,683,502,192,596,087,535,117,936,428,106,685,882,509,180,501,020,
013,099,528,065,094,208,607,037,670,629,060,301,365,295,999,804,863,869,987,
356,177,600,555,153,161,538,674,488,813,582,668,236,501,281,033,668,643,913,
280,311,293,396,710,849,497,733,099,262,534,081,829,104,236,339,535,540,477,
262,196,267,253,299,303,592,841,020,517,544,948,330,616,756,762,014,886,955,
640,828,187,625,474,913,421,684,525,792,975,332,444,299,530,186,837,417,021,
479,383,060,408,052,967,660,208,414,997,348,771,367,347,562,670,738,563,512,
648,212,116,475,861,047,061,363,775,500,019,003,395,808,924,498,824,349,164,
514,215,269,133,381,625,675,919,604,866,106,789,649,493,340,173,398,871,546,
010,369,956,057,697,270,902,615,540,027,028,415,013,054,132,593,612,202,989,
109,094,620,024,582,167,551,205,627,140,238,925,084,162,287,603,338,404,909,
872,954,573,632,286,264,894,356,461,392,083,133,813,678,466,587,950,138,527,
479,262,188,712,530,864,133,451,251,439,175,268,101,668,027,474,084,137,570,
712,355,654,402,884,094,704,654,444,728,099,464,799,110,965,697,625,591,264,
828,585,152,863,028,161,780,116,611,476,475,473,492,927,859,307,216,567,387,
771,556,314,438,352,867,058,542,504,307,633,867,441,357,578,570,061,139,359,
399,603,781,411,540,382,822,261,367,868,651,929,817,823,669,591,019,753,780,
994,163,373,501,989,200,121,745,754,252,988,110,191,470,184,576,731,345,805,
179,058,749,019,964,530,511,351,483,771,092,194,258,157,363,871,048,055,286,
084,028,964,044,018,627,196,687,626,863,328,511,708,080,493,277,026,233,633,
192,297,803,013,759,403,087,247,875,596,507,841,019,083,165,402,726,073,247,
662,310,854,536,878,966,479,656,877,914,885,290,598,477,400,463,827,178,221,
816,821,281,784,704,436,178,164,966,270,578,334,485,128,928,422,718,833,123,
830,914,727,067,861,433,804,260,977,806,104,570,303,084,943,522,734,078,255,
364,431,266,809,761,030,041,736,691,087,211,848,428,635,450,525,453,686,264,
066,801,356,225,162,740,620,406,356,721,704,002,550,444,776,777,267,360,904,
030,523,297,189,841,124,768,984,887,400,634,086,583,307,910,642,509,497,037,
351,331,289,603,392,995,019,584,807,277,358,416,946,808,480,869,015,607,103,
778,519,394,619,109,918,137,220,194,942,941,536,421,592,005,273,951,225,784,
816,580,514,493,709,210,622,224,126,325,031,917,300,943,752,245,065,459,481,
881,652,817,126,591,338,386,110,941,864,239,295,177,635,070,804,926,866,006,
412,283,008,712,990,960,921,142,680,418,090,064,270,635,978,764,449,670,211,
198,539,113,005,095,020,417,294,305,263,187,946,831,757,575,246,857,549,527,
461,743,513,041,199,751,050,523,283,180,707,603,499,552,641,495,190,864,327,
227,185,571,274,397,354,836,669,288,246,050,631,875,623,393,379,493,783,213,
519,039,512,779,113,883,007,522,377,404,152,595,129,280,369,909,970,651,473,
679,608,734,604,227,538,922,756,271,752,589,129,223,939,444,525,778,019,635,
972,992,894,445,050,398,734,569,806,241,023,627,982,219,799,593,474,605,202,
406,562,316,045,735,615,567,816,229,452,552,960,375,905,337,460,887,689,141,
358,614,144,032,515,398,729,204,597,546,324,044,207,958,177,251,839,286,036,
670,503,362,389,531,151,427,913,599,635,041,349,121,732,513,403,163,239,885,
651,487,556,051,782,195,341,019,257,601,322,967,579,785,680,033,780,535,324,
945,796,524,991,213,978,524,484,437,775,602,545,462,589,426,427,473,428,736,
864,245,711,549,580,753,642,088,801,940,093,588,255,418,843,486,342,865,829,
746,277,713,139,700,158,900,757,342,448,403,371,337,327,380,778,379,709,703,
914,441,356,024,524,166,665,196,768,163,712,949,407,271,390,685,158,105,807,
072,524,223,313,825,136,563,264,242,049,526,579,696,973,402,978,553,489,350,
478,285,595,887,677,675,282,743,737,958,464,070,899,330,604,354,949,580,121,
020,553,828,480,401,089,317,372,749,361,961,300,444,407,546,318,671,172,606,
578,910,642,986,121,042,333,197,113,572,629,839,730,842,657,076,010,223,556,
523,195,016,974,699,166,500,398,156,430,030,185,242,028,773,737,668,823,322,
175,193,477,423,733,347,729,376,385,018,023,082,258,287,531,100,638,016,650,
839,430,096,538,454,079,835,480,835,859,640,721,643,090,566,246,188,675,959,
142,777,225,160,163,961,735,189,047,090,288,859,037,245,460,304,647,613,968,
649,967,645,711,840,011,007,184,703,682,235,291,781,398,578,868,877,792,795,
376,573,423,968,506,981,656,368,389,161,068,278,981,135,750,681,840,630,700,
079,522,265,530,740,638,944,520,159,460,869,553,240,074,843,106,033,240,341,
384,317,671,621,932,344,412,688,038,893,520,674,173,558,515,604,565,833,758,
595,341,149,989,307,152,237,178,469,035,157,934,638,352,859,271,822,867,394,
253,628,295,203,155,782,451,540,309,675,453,532,868,503,330,145,432,726,426,
232,457,193,571,553,837,659,285,707,819,310,287,047,593,391,726,237,831,850,
132,598,950,437,643,292,993,947,787,915,267,858,820,598,456,774,108,168,993,
682,186,503,081,911,552,680,665,333,869,495,989,653,409,136,510,504,809,792,
210,389,072,071,596,395,042,262,401,707,933,662,370,990,121,245,206,451,746,
702,459,662,800,200,218,064,635,728,122,550,806,274,859,845,368,086,082,482,
152,882,128,469,199,312,257,865,474,101,099,642,347,437,105,278,582,622,430,
977,642,175,632,452,302,219,753,268,551,822,430,075,292,390,135,887,474,544,
317,119,548,825,454,656,045,396,637,690,091,025,144,528,568,620,877,508,209,
929,700,306,004,718,640,236,206,346,357,381,142,849,619,213,195,831,168,667,
433,795,288,538,020,728,949,581,568,301,182,853,436,606,525,203,344,656,084,
213,106,358,687,955,556,229,362,812,067,177,973,658,915,741,999,381,947,476,
143,025,323,717,345,330,777,396,674,910,708,966,741,343,396,684,134,449,384,
654,858,917,410,760,035,403,382,149,170,696,468,979,906,446,068,779,965,680,
184,328,826,337,909,496,510,847,228,764,518,626,988,891,090,509,517,869,951,
650,706,320,878,631,307,980,546,663,593,265,094,306,845,206,838,820,763,056,
040,034,452,392,357,370,800,570,403,557,290,009,902,283,311,519,823,450,774,
648,767,340,667,198,680,490,584,616,443,179,412,186,263,400,271,988,679,738,
160,961,105,775,020,795,475,892,135,734,401,680,717,954,334,704,917,596,149,
143,033,326,268,439,632,328,407,565,365,336,047,911,275,665,396,599,504,319,
807,452,813,985,022,449,748,271,673,636,415,809,167,157,000,464,237,729,836,
100,392,745,111,093,853,425,645,687,868,842,567,648,496,496,887,875,954,235,
201,366,847,297,776,202,629,840,723,165,332,110,697,188,338,410,670,865,210,
864,195,189,304,268,302,074,593,509,262,902,494,718,834,682,098,944,223,852,
553,075,103,873,975,303,417,019,805,683,129,174,368,239,889,857,435,853,611,
675,974,834,465,887,718,197,634,256,681,809,776,757,917,286,508,624,261,659,
304,383,064,982,655,457,302,146,173,482,190,479,459,375,264,211,839,480,284,
722,294,964,563,773,411,411,488,677,792,965,474,516,520,417,392,942,803,838,
681,516,823,070,341,477,646,216,865,157,890,453,980,472,121,677,120,061,179,
168,157,801,874,183,637,715,528,706,121,677,475,483,301,114,597,216,924,647,
220,845,875,747,750,718,916,611,931,048,023,856,193,888,949,251,190,789,880,
177,541,519,753,068,176,797,573,408,004,360,316,883,470,562,769,576,995,937,
300,712,282,032,979,191,378,405,346,420,600,162,877,414,831,749,051,435,702,
966,131,701,045,634,926,027,206,823,519,126,009,512,369,564,249,520,686,654,
751,036,026,496,234,032,662,974,356,378,610,583,917,301,940,719,791,896,939,
878,679,446,670,600,563,859,383,743,608,206,900,470,667,031,185,159,255,086,
532,906,925,337,365,604,860,818,895,774,956,536,475,309,008,518,969,640,746,
587,557,553,774,082,143,549,774,738,679,351,821,718,456,680,522,509,306,131,
624,051,719,042,228,552,531,828,723,497,751,801,104,464,633,887,128,872,161,
384,206,457,931,717,336,869,078,981,899,236,882,457,128,869,418,977,015,330,
049,354,879,887,828,032,033,371,244,694,516,531,992,125,221,852,999,630,703,
833,491,893,846,549,251,717,768,127,541,508,689,946,865,493,532,171,481,967,
408,840,322,840,436,942,998,015,519,939,882,312,220,429,264,383,677,143,848,
094,193,926,334,894,753,057,505,959,358,684,317,948,916,976,102,222,511,224,
576,831,622,310,929,643,043,150,621,870,576,687,019,874,715,469,423,590,963,
048,083,970,262,640,844,753,298,319,912,120,920,473,518,051,554,947,880,245,
805,184,495,789,505,225,779,360,303,683,301,195,522,355,171,153,774,699,612,
264,948,100,472,588,279,917,207,574,385,056,300,785,236,053,645,175,653,001,
229,551,133,917,707,202,573,364,139,592,049,422,741,847,849,860,347,655,922,
766,204,974,607,215,390,551,198,871,982,374,027,308,980,309,732,246,060,341,
755,408,556,813,382,187,635,636,734,834,725,962,354,988,029,339,573,601,946,
376,248,619,689,188,579,082,155,105,124,010,608,719,560,409,539,132,843,643,
181,572,402,771,416,747,886,322,360,639,798,429,820,878,111,797,849,979,133,
126,909,407,244,748,311,864,003,797,602,572,052,544,756,398,742,603,698,273,
954,044,907,143,834,278,450,030,519,014,148,421,121,566,892,545,858,073,886,
327,963,525,723,478,873,796,734,531,110,169,079,540,178,648,170,641,549,765,
253,547,162,237,220,439,045,129,948,156,265,258,767,147,992,519,109,656,744,
939,098,098,161,696,975,458,239,038,220,621,964,727,917,388,704,022,162,262,
040,510,094,860,151,395,424,145,231,148,172,080,785,197,013,992,521,707,269,
641,149,085,754,904,718,148,256,082,928,691,220,422,508,768,665,218,945,404,
491,879,516,427,124,699,348,384,578,169,744,240,820,041,596,041,781,035,195,
628,454,403,614,932,183,613,399,545,340,707,349,043,632,293,453,815,712,394,
822,489,671,137,350,710,567,378,311,020,261,715,170,882,470,300,832,201,924,
943,534,756,376,482,668,344,340,764,804,284,495,262,455,997,748,296,894,375,
404,347,237,983,844,999,574,593,039,306,478,311,708,294,574,083,125,362,256,
427,952,181,747,366,703,897,721,475,684,096,213,806,910,750,122,005,314,409,
756,634,002,918,408,573,609,167,315,701,025,233,062,661,237,531,014,914,496,
174,975,201,292,097,639,025,880,914,825,695,162,647,085,091,869,784,548,965,
068,696,645,483,690,101,320,145,047,263,402,195,894,005,683,293,181,240,247,
085,406,179,122,606,073,254,076,272,746,356,314,161,065,735,685,244,182,472,
922,028,689,142,587,299,163,244,347,543,673,372,388,670,847,811,866,601,296,
589,004,321,796,203,165,152,259,119,741,497,179,335,270,291,474,960,883,379,
696,798,332,203,669,903,076,367,104,356,715,757,432,696,526,706,222,221,615,
555,400,425,357,526,515,348,656,050,849,189,460,411,614,154,700,496,454,865,
995,693,595,011,152,265,185,770,196,560,319,989,504,125,400,336,201,092,110,
731,117,421,710,170,502,699,676,016,076,181,994,167,029,763,771,757,837,638,
132,962,722,382,608,888,501,796,558,581,888,082,894,318,322,342,762,802,287,
606,680,862,524,264,021,815,581,176,119,786,841,443,283,147,553,234,460,155,
244,065,246,519,492,910,833,210,878,625,211,439,306,653,950,790,913,124,559,
644,435,637,307,925,292,264,912,991,558,401,410,412,383,722,605,292,532,483,
887,696,259,515,887,258,403,378,044,625,321,288,854,299,365,329,068,568,785,
141,074,721,601,113,524,549,489,306,784,757,997,490,321,153,251,736,892,783,
358,811,407,020,511,269,063,028,665,351,968,562,620,966,195,949,617,788,456,
422,218,875,649,000,108,347,492,576,147,033,871,340,070,289,485,682,597,989,
004,123,184,055,141,916,158,205,735,123,174,675,328,586,109,706,739,202,047,
531,565,394,215,396,913,291,388,196,964,448,788,040,735,051,344,608,380,228,
689,656,133,032,593,790,275,891,717,889,302,916,007,987,582,824,077,088,478,
817,628,595,788,022,934,106,783,927,125,338,813,882,423,986,338,911,064,715,
962,867,825,072,477,363,899,408,420,329,842,724,039,332,015,795,359,315,082,
484,849,064,495,284,879,759,575,738,451,463,449,936,010,954,958,550,069,346,
944,211,917,361,371,953,169,634,248,792,597,403,535,019,209,310,969,753,084,
472,578,789,724,203,553,852,753,939,838,023,898,524,376,802,381,501,611,006,
965,502,821,783,229,862,986,561,682,769,755,835,573,447,055,569,693,704,981,
587,933,254,205,574,070,760,167,613,021,918,019,520,460,594,816,933,407,713,
284,367,806,325,119,462,383,824,699,534,563,653,527,725,922,358,039,126,850,
804,098,472,267,752,337,275,430,171,494,406,882,052,840,558,684,981,957,191,
680,272,363,508,120,485,683,507,005,772,236,272,613,433,119,598,471,379,940,
640,047,001,477,172,842,767,518,683,934,746,020,149,533,710,125,861,680,476,
646,984,532,621,359,702,238,054,434,829,000,958,860,801,981,192,030,131,754,
278,077,663,971,475,300,512,643,549,203,000,663,364,378,883,450,025,177,193,
768,314,085,590,280,920,915,406,080,062,195,255,602,727,830,353,068,948,399,
226,681,929,952,597,386,160,903,343,995,959,178,246,961,562,194,139,421,403,
846,273,640,986,636,637,754,980,662,961,875,359,638,755,802,937,695,751,268,
254,551,182,643,127,155,390,436,262,435,990,267,196,005,869,417,340,277,275,
203,598,225,145,467,255,072,901,327,595,943,293,195,862,182,226,018,007,255,
680,096,813,040,140,753,324,017,242,425,021,118,097,475,048,080,787,936,027,
303,848,938,101,292,536,210,603,189,535,725,278,567,590,832,402,126,680,777,
193,418,513,636,168,749,618,347,729,860,424,762,485,840,084,864,085,860,514,
054,413,713,285,191,157,447,618,503,880,387,597,487,044,719,091,182,035,456,
122,951,791,710,170,093,961,846,672,840,456,210,304,980,260,934,471,038,594,
463,084,114,792,823,053,583,855,326,324,035,772,311,767,183,788,186,930,343,
393,155,762,661,903,799,206,970,619,040,558,111,929,285,975,685,258,813,490,
324,482,707,127,120,135,933,582,582,722,520,714,752,975,794,151,821,004,341,
095,479,805,206,401,338,761,441,542,130,849,844,688,736,466,243,344,038,103,
929,634,300,923,631,154,121,987,227,056,007,067,904,289,884,933,925,376,416,
536,319,998,779,335,909,455,923,113,906,850,487,220,174,309,772,290,371,392,
536,446,175,618,008,848,352,476,884,626,280,200,707,671,284,348,284,551,895,
355,046,712,661,447,445,671,429,259,270,268,635,566,020,353,727,972,886,768,
229,554,641,078,555,171,958,743,771,228,788,595,149,991,848,292,029,407,852,
468,765,654,653,850,051,373,014,138,268,841,084,497,930,651,747,854,879,234,
706,383,356,282,229,753,842,191,871,738,635,943,930,153,255,655,710,648,470,
037,797,778,630,019,937,732,577,614,625,116,481,748,309,831,851,371,558,878,
920,853,698,454,337,708,732,632,039,247,288,678,608,240,210,344,834,769,488,
434,846,513,657,782,326,937,154,002,810,011,280,799,429,177,161,165,516,972,
787,467,790,927,157,733,041,914,270,868,389,467,400,895,424,317,508,719,851,
679,144,290,676,091,499,113,030,124,651,437,986,254,535,108,594,808,959,144,
152,177,016,618,636,180,810,880,902,329,278,951,036,235,291,273,790,451,917,
527,182,751,334,126,085,587,491,351,644,636,445,565,917,325,532,372,804,993,
509,510,891,457,364,971,471,787,164,280,720,223,447,299,384,650,968,287,208,
195,110,100,439,025,396,241,583,156,349,659,859,006,992,661,584,318,788,011,
112,533,435,763,168,070,855,882,085,315,666,866,326,194,132,210,752,199,619,
902,230,839,241,612,384,200,928,374,082,601,813,065,045,104,174,446,369,304,
050,102,030,650,857,190,289,639,962,747,745,657,563,227,047,126,630,896,748,
448,490,334,965,248,555,665,972,975,476,253,250,870,046,468,788,622,526,326,
065,170,781,884,293,936,448,026,072,995,733,516,085,055,043,305,551,681,372,
203,831,595,793,482,290,207,599,012,784,691,314,712,347,136,202,597,768,184,
530,114,321,134,633,497,250,962,977,748,100,751,309,943,770,400,496,321,012,
618,595,624,058,229,241,629,717,298,774,209,404,923,277,742,191,625,214,264,
945,940,486,098,250,058,753,241,559,884,909,211,206,552,396,806,650,692,869,
732,270,949,916,616,354,468,419,144,203,203,458,480,133,413,235,379,344,726,
013,886,738,832,024,126,172,934,308,299,281,915,494,626,184,626,649,016,933,
328,864,285,967,653,639,072,705,174,371,974,241,861,733,721,727,920,418,273,
854,233,242,113,689,179,376,475,781,649,385,498,902,011,270,726,694,721,886,
063,290,652,487,254,808,763,205,164,028,369,088,795,030,737,022,473,933,511,
881,591,749,833,637,954,407,473,565,177,698,667,200,932,294,088,519,837,339,
693,561,455,608,707,578,121,778,203,520,028,800,458,128,804,497,346,904,514,
244,658,839,444,978,794,854,953,679,826,034,174,777,223,067,761,648,809,118,
971,355,582,577,123,253,480,196,578,469,686,924,443,701,602,443,643,897,702,
534,403,192,196,994,953,070,425,282,412,694,552,424,637,781,747,685,286,292,
809,854,819,210,401,780,952,647,454,979,994,004,275,230,663,289,088,419,323,
456,749,792,949,259,719,104,966,746,507,197,034,622,201,377,451,609,479,839,
720,605,545,253,717,110,388,561,091,137,171,477,300,966,234,967,679,702,591,
131,382,377,064,297,102,657,353,799,423,367,978,270,382,622,052,421,216,938,
729,356,664,566,179,277,367,183,103,406,446,665,449,189,498,495,583,510,442,
675,979,600,912,493,668,146,894,304,786,294,541,727,168,993,055,517,584,577,
665,191,837,004,908,086,686,121,667,597,041,933,733,915,980,189,027,523,395,
814,144,301,175,116,679,115,769,772,683,285,048,344,603,723,438,282,454,912,
325,112,072,449,446,494,909,182,261,994,709,802,669,982,069,477,399,643,983,
445,613,845,276,823,856,775,826,417,856,022,471,090,614,536,588,665,495,241,
504,227,545,862,972,706,152,874,308,539,701,135,782,147,526,363,921,166,496,
494,974,419,389,876,313,652,703,325,119,017,704,466,901,074,512,734,385,343,
683,260,049,386,421,975,728,836,015,471,702,157,012,932,788,457,469,591,207,
593,217,504,619,401,272,563,598,806,554,275,696,256,980,674,078,786,024,200,
536,122,861,303,885,638,154,118,015,050,357,404,616,974,731,973,568,901,334,
296,429,354,337,937,060,586,681,910,381,322,791,964,854,177,688,002,524,866,
761,349,492,029,430,823,857,614,823,859,098,457,049,922,116,131,665,445,324,
734,432,105,876,428,519,127,834,041,604,170,992,019,433,799,189,633,304,418,
713,586,448,263,132,144,669,333,452,433,284,865,700,358,367,782,390,218,282,
818,800,692,246,724,405,784,123,582,614,555,295,280,268,272,208,527,117,466,
618,565,556,249,543,926,626,501,229,919,811,205,652,202,717,807,730,480,046,
518,806,376,824,662,579,565,487,920,371,237,204,203,622,163,325,678,429,555,
756,487,163,736,370,021,297,724,692,403,052,069,103,533,726,060,604,636,046,
335,609,529,310,884,640,911,555,430,088,191,455,039,478,754,526,518,704,986,
339,970,468,722,382,026,723,139,653,179,875,714,107,774,255,851,196,121,538,
293,249,594,256,012,018,518,308,637,707,368,615,462,409,670,807,288,246,862,
373,512,480,654,006,452,742,646,698,693,059,761,878,729,511,692,143,207,910,
642,759,649,233,655,671,868,925,892,359,374,119,295,328,853,248,853,289,280,
012,298,813,171,733,209,318,332,769,765,842,553,558,025,730,231,365,410,335,
786,215,792,483,021,429,051,136,628,595,623,684,530,164,591,123,164,151,744,
247,015,938,584,585,302,715,259,822,945,155,803,065,822,804,224,042,825,243,
935,631,372,471,697,299,328,093,829,367,960,453,870,128,150,171,620,602,599,
648,345,211,018,706,651,339,380,221,445,592,761,377,485,532,999,498,334,991,
343,769,879,863,839,505,738,073,434,219,005,018,542,121,730,375,021,271,907,
901,488,056,361,910,162,509,623,021,704,458,224,203,015,439,271,225,331,459,
095,220,254,819,807,418,602,877,121,106,284,352,887,194,611,617,207,089,292,
462,863,412,133,125,845,189,222,761,467,105,535,493,692,410,245,536,938,754,
405,981,997,236,014,849,195,044,239,928,047,366,288,669,013,407,671,241,192,
255,042,709,693,824,673,395,833,753,362,539,782,872,213,644,386,952,837,093,
043,656,535,286,999,609,041,594,843,324,109,437,383,082,589,325,425,015,312,
851,331,980,722,577,338,233,096,735,180,756,675,517,584,005,584,165,826,899,
931,473,842,319,465,162,672,356,912,210,049,041,884,673,580,904,429,918,803,
150,245,697,608,275,156,925,065,438,661,229,194,500,452,997,545,591,973,388,
408,860,295,236,216,694,181,859,734,248,374,834,478,454,458,348,214,120,901,
901,865,844,984,098,135,604,970,389,437,075,904,982,287,571,841,894,595,045,
833,421,982,513,280,902,386,156,764,014,378,200,972,327,142,368,451,591,345,
617,776,978,213,081,245,670,596,624,196,976,716,602,544,341,106,424,144,860,
567,999,235,931,094,149,992,927,537,808,674,662,681,566,728,938,828,663,425,
290,511,318,530,577,760,670,373,681,435,895,156,112,441,748,041,292,813,874,
749,156,015,636,851,872,595,918,884,722,440,219,536,032,154,590,805,769,826,
759,561,957,691,061,349,518,594,756,178,040,878,978,652,365,319,278,482,937,
930,720,979,474,051,321,733,350,233,345,336,085,178,100,584,860,593,451,379,
079,698,062,562,826,245,567,274,302,651,200,451,291,732,660,794,923,178,847,
734,979,141,325,931,645,011,779,087,200,034,794,011,418,697,622,774,535,553,
825,493,855,553,213,564,314,319,884,607,910,877,902,813,708,844,063,820,701,
169,571,264,658,541,665,855,699,946,469,760,492,335,800,139,604,955,603,590,
934,155,539,368,484,186,410,320,783,224,118,371,598,021,763,519,137,527,064,
503,152,565,401,242,438,681,523,649,393,659,767,951,994,504,800,493,332,719,
520,750,083,541,570,017,325,958,395,531,224,652,915,002,852,198,191,671,978,
756,127,208,543,322,425,104,577,762,356,042,410,483,812,312,045,355,015,966,
597,378,176,737,034,119,360,205,272,371,998,639,589,545,773,618,082,950,614,
002,831,110,942,969,031,212,178,296,759,899,539,885,888,778,525,977,015,226,
799,332,541,571,025,731,577,950,989,481,855,359,570,280,048,440,048,673,471,
946,765,701,030,852,813,181,917,748,057,112,920,187,975,272,602,012,759,598,
261,828,164,798,799,345,094,736,708,140,932,278,813,703,703,914,337,237,317,
056,469,566,626,850,110,344,033,920,985,236,389,981,465,721,244,440,738,107,
073,015,572,548,742,606,461,070,707,169,521,293,690,501,637,208,435,248,277,
137,454,255,566,512,329,952,640,937,883,680,094,233,114,145,373,896,155,367,
312,186,680,985,673,877,759,088,755,919,913,619,478,867,586,337,801,453,210,
953,327,055,831,651,265,243,152,817,551,805,923,172,180,618,056,181,019,956,
464,795,330,295,011,157,159,562,088,918,173,393,834,754,607,882,016,327,527,
385,313,636,683,144,309,423,689,718,524,580,295,744,711,856,264,037,323,206,
838,419,082,898,668,653,584,912,898,277,282,292,846,836,594,989,156,004,440,
430,173,439,953,666,947,199,531,880,712,767,272,142,568,773,581,538,043,593,
694,596,268,417,022,861,678,836,904,294,450,314,288,306,340,212,497,832,004,
573,752,061,500,757,810,439,280,250,731,134,789,573,009,635,251,007,887,819,
763,401,159,098,778,609,794,867,677,108,411,064,665,247,456,191,869,711,630,
722,512,799,475,180,610,566,911,855,625,005,379,559,179,212,682,008,373,383,
599,087,170,212,508,303,666,567,929,889,588,592,469,293,652,432,295,155,578,
726,774,070,001,621,224,050,825,342,186,401,962,881,398,199,484,330,514,956,
449,313,714,034,966,390,113,304,068,370,261,203,181,791,658,736,794,718,553,
952,626,781,372,420,319,909,457,392,604,673,418,763,755,479,793,025,266,336,
447,023,372,466,157,346,806,583,640,390,919,047,355,269,257,268,326,221,618,
043,007,412,106,439,390,009,559,359,033,724,549,115,354,935,803,463,702,129,
806,907,937,848,336,030,045,236,532,860,067,674,855,132,405,232,674,591,301,
529,510,696,846,200,877,885,993,957,390,138,301,520,509,657,464,496,928,204,
688,961,722,151,714,717,854,620,347,864,843,106,295,636,590,861,000,141,799,
372,843,646,820,289,757,205,970,509,558,913,753,398,296,890,314,159,284,748,
856,819,872,646,282,265,259,767,328,573,701,997,703,435,283,644,860,548,899,
010,981,107,974,043,193,186,317,008,066,395,188,400,873,128,015,784,484,864,
624,437,369,624,701,576,309,872,900,353,023,827,163,608,968,799,728,150,494,
341,832,232,507,777,557,009,962,094,383,364,840,027,951,062,877,983,732,333,
023,703,187,271,988,072,359,368,987,431,121,213,093,518,733,595,527,035,991,
611,578,131,845,480,239,505,887,568,100,621,627,790,150,691,083,285,518,361,
332,772,160,998,288,895,740,486,822,675,909,771,504,527,930,218,098,508,758,
413,857,962,709,501,504,282,921,109,066,165,478,100,807,125,260,029,367,340,
144,846,971,503,924,709,553,709,700,109,593,542,654,072,389,269,318,524,257,
655,581,243,210,274,509,147,899,522,666,139,265,643,029,006,233,364,052,536,
266,174,119,706,536,088,132,825,649,503,219,889,903,478,666,101,066,332,288,
320,081,829,673,636,969,027,066,115,295,588,432,106,716,690,826,216,270,082,
991,649,762,962,926,789,218,592,949,162,532,867,405,618,070,329,241,135,630,
082,710,505,949,468,865,440,086,769,055,706,780,708,408,692,060,888,775,664,
723,484,008,295,170,397,948,560,776,680,360,477,876,901,833,967,000,451,529,
320,537,853,406,076,417,133,781,797,941,642,045,828,986,372,628,060,496,322,
969,319,316,409,775,930,703,855,301,474,852,994,957,497,761,760,694,733,876,
057,363,255,083,937,882,422,144,106,622,146,524,555,571,665,165,332,629,229,
553,343,438,982,202,776,851,561,306,353,574,328,982,047,116,489,600,022,066,
265,942,022,326,124,763,162,827,825,422,861,785,157,431,050,426,155,264,263,
865,801,300,184,377,314,320,868,486,927,243,680,347,993,429,594,681,584,294,
124,158,352,057,784,865,110,263,423,696,163,039,226,397,778,512,784,438,266,
758,380,483,274,792,634,923,907,835,456,907,044,916,129,925,039,304,310,096,
469,437,570,740,003,956,002,174,491,129,413,804,933,369,666,688,524,142,666,
185,903,032,689,258,790,957,793,235,490,833,837,988,725,124,907,064,420,476,
503,567,579,560,556,941,655,972,730,495,886,871,450,341,326,619,947,101,067,
465,695,001,205,099,714,512,824,800,369,610,710,013,244,502,158,977,356,408,
661,371,542,146,432,998,911,903,635,676,224,971,351,232,834,104,138,499,143,
548,014,506,424,436,796,296,760,578,688,854,994,445,796,534,384,652,244,495,
789,661,718,746,767,350,904,864,417,355,875,569,385,506,321,824,138,855,695,
625,526,528,904,511,575,372,529,888,346,869,657,344,361,172,805,285,640,957,
470,213,903,488,166,457,748,430,248,456,462,404,557,534,433,830,332,692,001,
108,330,483,254,783,800,058,945,514,460,337,942,766,333,445,593,261,910,938,
718,596,313,482,154,944,455,521,535,600,082,489,895,417,391,084,479,138,764,
480,767,403,057,824,588,609,336,728,485,359,017,758,781,627,535,645,094,674,
835,569,014,054,412,612,091,816,844,073,747,424,903,171,089,797,059,686,072,
619,900,160,674,080,588,566,993,069,287,926,065,048,471,137,827,623,036,749,
412,299,927,644,093,589,204,850,902,636,061,566,755,227,271,103,620,659,723,
377,532,034,473,194,613,801,850,397,527,471,676,347,434,422,595,408,328,976,
708,202,659,448,709,617,295,844,838,748,835,607,703,858,268,895,421,583,144,
756,291,741,904,159,178,258,371,242,408,454,631,918,004,828,033,359,770,526,
181,026,004,599,289,607,923,940,534,413,384,199,387,038,577,060,149,708,680,
476,897,051,708,290,787,881,612,928,255,927,749,151,190,286,659,765,648,692,
876,921,592,554,555,773,768,516,894,835,229,910,463,538,860,015,675,551,864,
243,875,534,606,617,646,108,358,943,113,813,834,047,709,295,094,973,316,496,
716,228,442,567,448,933,867,688,163,083,999,799,455,970,133,768,418,499,962,
260,376,335,303,156,595,733,177,568,095,069,503,714,584,267,974,072,002,371,
344,845,440,447,209,802,010,322,946,109,916,842,958,015,359,659,008,550,879,
403,417,934,549,704,788,341,867,438,211,133,743,402,547,446,470,241,425,035,
507,997,955,644,240,403,730,100,730,189,166,919,571,579,298,166,807,615,241,
585,475,034,071,758,976,550,973,079,154,395,198,017,864,130,949,865,485,428,
890,161,205,970,054,386,961,042,888,177,200,913,185,184,756,312,382,502,028,
376,177,031,753,111,300,237,717,324,649,782,441,586,189,030,272,792,342,861,
940,257,015,191,533,980,517,088,521,846,455,835,882,981,521,240,448,302,418,
424,591,640,411,521,366,040,415,499,776,155,975,210,938,047,128,262,360,838,
940,762,706,207,631,559,807,903,562,543,956,332,760,492,408,191,511,914,273,
323,843,689,070,480,700,543,352,846,009,906,542,017,922,971,057,680,134,725,
414,116,627,480,470,941,499,024,630,724,624,683,698,586,483,745,329,355,590,
061,657,201,984,591,307,463,721,443,486,060,802,050,662,596,232,225,961,706,
248,039,078,260,763,444,180,816,716,741,759,292,949,508,343,374,524,034,348,
230,537,134,703,173,008,027,312,523,253,352,627,703,314,409,397,203,506,923,
267,117,585,178,232,942,168,150,692,335,906,346,758,162,638,610,907,403,054,
626,617,916,527,166,350,909,465,240,230,662,042,580,799,098,592,323,400,625,
603,687,571,280,188,829,210,214,985,159,108,826,194,102,066,326,484,709,870,
207,936,152,175,340,701,846,536,679,328,655,189,689,340,647,874,811,988,270,
129,084,214,591,896,749,103,675,578,138,967,885,925,546,362,387,330,943,488,
165,607,489,989,265,904,501,089,647,316,207,590,803,173,088,443,780,924,189,
401,083,956,832,303,257,295,335,057,628,362,498,496,748,610,671,423,651,894,
476,587,621,994,181,660,364,127,273,007,818,529,605,474,552,170,230,061,883,
919,841,417,725,843,797,822,538,873,426,787,402,423,892,779,206,463,603,330,
916,594,444,656,967,284,895,751,443,195,702,636,895,076,987,136,591,892,033,
034,216,865,551,478,815,643,400,207,895,710,162,741,552,720,045,558,374,625,
721,324,053,551,192,527,623,143,307,884,337,982,272,921,197,398,093,396,908,
868,232,535,955,093,000,988,346,596,321,774,908,150,973,594,896,748,776,473,
697,691,227,552,099,756,631,871,416,610,741,000,328,333,679,444,734,218,371,
487,419,820,714,291,944,474,515,427,134,304,285,518,189,260,368,554,125,332,
217,150,637,963,914,787,829,260,065,433,870,929,065,742,715,359,544,879,708,
702,231,008,178,331,967,320,639,984,393,353,237,030,587,445,891,868,687,558,
358,420,467,554,075,276,695,568,253,227,743,781,265,644,456,581,854,025,186,
596,893,900,631,303,926,354,828,348,792,554,579,235,574,378,551,336,448,426,
795,239,202,585,329,396,509,544,242,480,732,845,361,534,587,113,982,130,668,
554,789,793,940,044,166,858,136,062,935,164,340,660,267,352,385,321,640,220,
016,904,633,471,234,247,151,768,494,162,958,499,132,035,205,897,846,863,457,
533,538,931,293,836,439,901,540,039,787,066,709,405,032,977,616,262,938,130,
742,692,641,759,300,550,542,632,681,395,091,213,244,484,905,205,258,384,080,
259,155,973,370,650,154,779,654,490,240,191,693,636,087,556,028,357,509,602,
974,900,608,654,843,376,638,472,591,431,317,022,775,888,745,171,654,817,374,
322,031,295,537,281,001,572,654,961,068,904,903,573,936,989,284,778,487,811,
937,923,572,797,579,676,731,877,257,656,851,428,100,653,157,386,623,252,084,
640,065,321,602,709,582,136,354,566,714,679,656,581,153,357,642,361,228,094,
220,363,906,207,982,421,041,883,283,489,120,781,032,660,231,156,802,020,793,
691,020,494,357,865,444,662,078,053,809,635,168,774,315,537,590,177,322,117,
030,280,104,764,288,518,376,050,261,715,757,956,947,711,245,615,195,437,038,
781,033,626,039,115,411,582,502,535,756,053,205,227,444,696,954,719,732,578,
380,189,556,207,229,188,450,374,877,691,070,253,724,189,648,547,400,574,966,
975,614,045,657,176,334,238,106,099,288,547,903,988,761,773,544,928,529,925,
181,952,447,016,533,536,497,331,571,377,852,388,245,131,460,768,401,156,692,
362,891,275,356,543,965,970,202,055,845,931,295,415,938,116,619,511,804,126,
832,242,955,545,545,355,561,569,756,633,464,836,495,139,078,759,754,645,915,
674,645,861,863,941,532,959,274,137,297,404,555,996,257,457,818,481,525,397,
402,899,943,323,433,653,641,184,575,387,707,469,299,625,927,599,364,343,983,
956,954,360,402,040,283,424,355,591,069,049,851,861,398,337,667,647,911,329,
027,081,425,902,988,031,644,664,601,942,237,213,444,501,711,587,041,073,985,
809,456,204,379,779,816,620,267,314,927,134,245,359,678,830,091,714,211,520,
962,647,846,610,631,402,751,351,852,226,957,774,175,001,073,436,428,677,805,
569,208,772,665,180,285,630,796,656,920,764,009,153,348,340,295,585,845,941,
282,825,124,571,963,510,126,235,727,402,622,681,858,051,495,053,761,551,043,
136,743,995,063,463,444,683,018,711,893,884,019,179,483,540,591,773,042,496,
629,974,981,567,970,391,713,317,932,190,019,990,762,452,664,585,560,876,547,
499,540,494,002,185,130,274,992,780,179,946,904,432,443,258,049,307,807,799,
976,689,303,375,489,446,946,001,388,351,992,440,503,937,101,735,416,647,905,
300,226,970,923,436,184,060,453,816,544,920,294,075,844,719,202,018,366,557,
330,953,205,652,145,456,763,426,431,656,657,835,154,480,328,548,901,983,757,
718,534,919,290,117,530,993,501,537,244,991,981,592,471,939,877,494,958,631,
747,375,538,695,020,686,210,943,231,542,751,722,014,465,330,732,751,906,925,
613,692,556,636,098,233,422,076,874,665,892,932,067,755,467,388,330,845,274,
928,608,996,674,304,253,427,723,110,246,835,675,897,227,448,188,237,695,465,
559,857,116,362,223,387,965,082,187,232,060,945,110,967,865,369,849,994,807,
302,640,913,757,783,188,840,577,818,379,501,302,499,358,050,430,551,326,612,
159,899,024,348,550,058,663,238,088,768,637,869,622,859,658,820,846,363,081,
271,612,810,106,593,981,484,543,279,464,089,675,615,556,462,396,771,460,238,
960,374,907,560,036,127,147,393,034,724,653,584,998,423,584,443,403,394,640,
087,804,216,083,589,407,850,579,885,595,104,614,041,791,518,904,324,543,725,
537,801,503,973,071,174,853,293,508,886,884,068,353,092,631,940,723,019,386,
545,824,022,978,928,582,850,843,337,068,940,668,735,089,409,965,949,530,187,
754,639,806,919,860,405,904,227,391,545,067,927,784,157,540,966,190,460,398,
212,830,697,454,931,614,911,157,538,890,793,181,058,527,302,482,750,563,798,
688,946,730,048,625,482,193,226,331,709,584,675,298,380,906,912,849,524,677,
405,051,626,100,370,098,362,343,710,836,957,934,821,123,594,083,746,456,585,
769,335,865,914,056,178,421,870,629,104,118,803,961,466,289,178,971,663,578,
964,075,262,036,448,645,828,526,135,192,292,980,352,753,273,380,053,885,953,
189,387,752,601,050,553,055,672,063,669,586,768,670,292,515,311,705,847,994,
724,254,550,956,521,677,336,634,940,169,614,737,719,138,236,551,982,811,002,
243,205,176,025,010,730,521,812,238,784,492,530,348,748,592,249,268,883,444,
787,671,016,196,112,766,179,584,496,730,040,580,865,585,783,728,923,484,454,
854,138,030,307,352,446,323,773,702,452,805,271,153,166,449,940,407,949,786,
307,904,415,914,930,555,660,558,472,423,466,628,631,172,965,103,821,457,648,
998,439,684,176,159,970,345,978,889,089,725,126,263,287,459,246,414,919,481,
977,066,044,198,604,135,569,674,011,916,593,714,250,615,123,859,110,007,892,
308,551,327,381,855,110,189,764,541,079,535,671,448,600,014,210,057,450,613,
090,884,819,094,118,258,973,075,030,067,423,277,202,195,031,780,502,058,117,
954,477,069,235,608,914,351,838,735,123,055,771,627,857,797,149,122,205,413,
162,014,237,098,367,874,052,256,874,981,566,726,686,187,452,993,022,906,219,
049,987,968,700,714,354,327,450,461,369,839,730,280,382,086,860,833,068,837,
935,645,477,793,614,835,962,909,757,108,735,328,470,343,483,976,557,523,771,
857,509,999,644,619,693,645,120,591,793,375,973,962,616,511,536,051,157,427,
732,103,456,174,899,360,129,276,221,921,360,761,599,514,632,791,710,741,200,
390,039,283,521,321,486,349,519,191,607,571,706,377,555,045,760,681,839,355,
061,350,583,197,119,085,209,534,398,605,779,780,432,491,751,811,578,460,540,
880,983,887,868,520,970,600,375,179,916,399,999,702,273,137,555,719,551,741,
770,228,405,246,191,019,994,792,112,456,816,681,592,801,147,019,875,504,718,
376,541,469,578,874,077,813,040,596,264,177,189,419,227,762,831,138,213,359,
525,351,875,943,034,952,324,642,107,436,997,675,858,055,121,757,873,211,194,
236,444,807,180,099,495,075,901,684,045,349,671,882,240,450,389,030,103,686,
672,859,208,646,459,716,621,045,085,721,197,345,402,505,944,560,815,183,174,
995,126,348,892,235,651,923,253,245,047,969,671,319,781,782,299,707,143,577,
232,154,196,018,400,444,799,491,821,112,043,011,595,089,152,834,630,777,202,
173,096,296,997,220,774,407,990,090,202,159,380,971,115,282,522,900,243,845,
386,825,439,444,004,620,152,606,551,033,703,706,234,429,011,458,858,899,514,
256,780,529,697,857,251,123,930,372,619,159,483,570,038,252,151,874,175,711,
289,688,791,041,555,862,693,566,324,817,891,383,059,173,773,551,032,636,417,
997,999,571,944,899,730,024,601,980,627,207,708,285,370,098,326,030,865,867,
664,090,357,061,600,306,865,065,480,541,292,027,296,723,094,711,595,270,009,
060,946,280,338,238,756,264,924,273,556,879,030,023,514,907,093,108,767,010,
490,108,904,297,151,842,964,376,549,670,254,029,861,019,626,760,781,945,606,
834,335,387,017,564,801,831,548,139,481,474,622,683,256,017,976,742,396,860,
611,089,828,290,464,049,328,665,137,683,091,891,898,916,772,884,716,492,987,
258,433,364,885,041,612,749,222,651,545,201,677,429,345,164,105,118,260,239,
561,741,361,962,200,721,449,509,419,941,510,873,208,591,003,666,282,510,174,
899,189,430,821,921,986,792,915,149,066,555,261,443,855,761,571,435,238,330,
836,516,616,670,497,411,593,736,882,029,817,313,315,976,609,036,806,489,338,
359,354,199,174,030,757,224,942,500,183,515,265,260,649,450,753,347,542,997,
869,994,283,156,744,216,035,017,428,642,231,256,895,311,656,311,723,121,116,
008,923,215,773,266,201,426,901,282,991,941,446,898,682,044,665,070,563,902,
342,352,596,257,291,744,120,674,275,407,763,375,007,896,770,244,107,838,138,
680,810,710,354,749,302,608,023,726,565,098,195,204,035,754,641,596,398,862,
620,464,430,907,310,754,565,827,649,318,521,938,211,347,583,630,393,776,548,
553,473,938,763,962,502,792,087,484,169,399,575,144,877,792,113,955,730,309,
649,750,566,503,683,828,354,610,415,758,984,978,975,744,728,819,906,650,560,
918,854,328,260,871,256,634,175,368,953,759,662,888,590,103,600,074,559,665,
785,977,346,468,013,879,957,089,039,152,121,656,988,875,720,141,561,242,649,
764,911,901,317,711,100,367,294,023,056,056,841,875,622,669,570,721,863,747,
471,958,490,083,427,562,424,903,050,654,476,991,457,761,894,262,803,035,427,
378,732,697,509,027,488,565,466,960,865,731,886,313,828,637,593,310,001,268,
103,743,228,718,547,768,457,728,923,322,603,741,706,001,236,658,955,485,873,
822,255,969,675,053,751,808,585,665,317,113,250,383,349,640,940,233,327,826,
742,587,111,142,206,823,660,248,231,865,937,057,572,256,235,290,756,387,128,
970,790,252,532,156,633,866,786,389,894,595,911,415,927,506,849,686,903,177,
178,117,825,597,514,572,589,348,595,596,718,341,645,112,309,728,202,093,646,
994,892,906,581,215,931,952,424,023,032,861,466,312,470,911,615,088,846,126,
713,896,094,062,647,619,386,734,515,074,061,135,606,796,645,381,517,813,955,
248,923,549,986,672,942,975,430,805,682,060,404,993,414,534,323,667,760,928,
594,323,765,808,282,026,914,851,832,679,799,789,576,963,136,339,084,793,608,
445,335,785,145,760,167,387,325,855,742,968,590,083,440,482,667,170,055,287,
391,680,801,401,874,403,129,795,207,770,112,990,232,640,192,649,821,471,121,
100,082,311,913,534,951,656,419,368,704,652,796,424,608,755,191,906,063,887,
645,682,297,712,534,186,672,068,506,422,853,770,422,776,831,498,362,107,552,
741,248,307,076,847,831,264,071,537,136,145,419,415,785,430,939,659,012,584,
086,325,622,063,554,535,028,779,973,517,557,867,700,436,556,347,836,383,311,
211,420,886,978,905,715,778,630,317,012,363,056,023,891,112,723,059,451,470,
556,557,657,426,787,897,244,460,849,427,938,753,223,648,564,836,390,529,827,
107,954,482,662,094,143,076,801,037,107,288,409,075,060,490,566,818,539,558,
266,211,302,986,648,135,421,842,864,746,881,448,548,599,063,936,071,167,528,
703,202,016,453,010,138,381,829,172,292,176,551,929,072,966,208,416,355,017,
775,486,969,796,306,277,412,587,346,159,099,967,861,998,025,872,687,789,424,
301,703,109,552,833,510,974,623,067,539,806,682,099,528,811,578,545,462,039,
827,175,241,483,849,992,369,426,664,659,070,857,843,857,658,766,344,528,053,
079,381,458,634,941,175,623,501,470,522,724,857,444,903,042,369,105,446,422,
145,024,139,422,169,727,374,772,257,575,197,011,406,990,748,986,727,610,729,
308,350,040,752,078,231,262,602,666,874,779,258,087,588,256,990,235,967,519,
688,606,988,143,818,245,862,678,650,013,729,998,076,361,511,088,728,601,755,
067,087,512,527,510,828,284,963,220,989,660,077,962,918,892,205,621,577,945,
569,495,543,820,034,763,359,005,995,647,764,816,304,692,768,932,826,229,936,
020,420,412,719,028,173,901,292,267,400,514,990,410,289,808,001,963,770,845,
488,060,675,881,347,369,004,384,893,605,316,458,790,466,955,643,752,578,692,
177,760,235,295,897,527,885,327,141,600,248,437,574,938,092,175,997,866,923,
201,999,234,187,163,139,082,601,700,483,669,560,825,566,748,989,407,130,952,
250,338,965,472,806,965,186,122,075,142,605,387,674,955,925,110,410,385,967,
179,033,021,369,308,776,911,318,363,505,972,070,580,567,687,732,306,363,785,
156,626,561,575,449,715,656,568,951,262,075,482,918,077,339,637,927,359,407,
192,626,712,634,580,854,216,079,915,662,976,947,114,645,744,965,927,694,237,
007,622,806,010,572,878,915,221,483,344,436,772,625,837,831,820,732,075,063,
490,666,923,344,142,556,298,259,863,256,289,741,740,342,995,240,078,106,383,
816,081,523,493,912,077,429,411,589,217,612,330,677,668,939,823,997,595,586,
934,569,342,178,834,864,159,812,186,613,276,181,922,072,809,677,829,636,033,
250,126,522,460,316,276,975,975,079,880,740,077,061,218,474,870,406,864,374,
379,789,221,592,928,465,002,192,513,845,229,077,412,002,046,567,983,351,702,
874,028,899,094,473,819,249,997,960,844,666,346,866,083,494,248,289,171,104,
193,083,522,267,479,185,773,026,315,111,904,079,906,443,325,562,799,440,839,
383,384,797,459,317,827,657,596,946,091,045,889,522,750,862,380,787,907,198,
921,327,626,375,546,484,745,509,826,958,077,649,149,890,962,034,034,723,291,
891,920,202,801,065,014,634,889,321,490,901,276,808,405,923,500,396,734,064,
183,145,830,709,595,924,593,888,534,706,103,909,131,624,577,360,397,155,641,
178,913,522,525,335,081,784,508,830,688,287,729,710,936,542,525,455,005,566,
372,790,342,403,886,368,623,994,636,702,760,801,466,755,344,459,593,720,699,
735,353,571,550,283,785,743,977,412,710,203,825,277,536,295,575,540,889,083,
304,195,189,322,302,676,142,918,335,136,448,040,813,533,370,573,756,926,069,
419,047,466,679,566,813,993,879,346,705,756,689,183,788,145,752,696,585,401,
026,487,180,854,838,314,083,620,253,086,995,568,426,938,458,653,835,966,037,
194,223,135,469,897,099,191,354,092,457,341,689,918,576,810,277,208,173,883,
206,725,467,062,332,574,561,315,561,004,987,208,754,583,416,702,081,150,660,
883,804,879,762,528,421,161,130,081,091,937,630,061,348,573,638,865,962,702,
030,956,465,955,922,680,902,364,070,913,700,850,379,541,097,643,234,110,631,
696,618,856,092,981,426,777,461,992,253,162,100,881,051,017,792,547,269,157,
425,532,345,458,984,872,869,023,844,034,062,943,967,424,552,391,470,417,305,
669,394,339,108,946,976,052,741,055,266,029,701,386,360,422,698,256,778,283,
115,186,864,829,974,882,974,585,451,643,652,357,543,137,108,780,480,464,055,
831,050,896,013,996,591,541,437,891,471,274,031,933,564,735,798,083,968,870,
451,849,495,745,268,072,442,558,835,128,200,975,633,648,314,384,260,298,734,
872,563,320,409,427,377,221,013,861,836,474,342,821,215,721,389,854,038,276,
542,072,372,127,256,666,686,559,893,765,463,833,613,276,557,243,854,549,868,
226,962,238,219,842,244,118,291,287,087,653,264,964,557,266,601,837,610,493,
050,478,130,612,470,807,495,710,906,453,382,495,385,025,506,602,735,925,439,
936,443,814,103,188,290,623,251,419,521,382,456,967,114,538,582,976,662,494,
383,423,924,322,476,323,035,901,353,712,441,832,610,761,822,983,274,161,278,
510,798,603,639,815,759,215,949,359,789,914,368,932,288,955,108,852,780,960,
063,672,164,406,113,068,232,765,084,898,948,061,425,975,542,390,259,815,524,
437,016,419,139,177,369,398,636,295,883,970,292,962,868,564,138,595,449,265,
587,980,892,526,102,377,353,496,506,899,280,443,267,557,489,717,370,233,725,
001,324,791,892,427,821,690,293,975,260,279,635,790,569,108,646,957,639,266,
459,499,782,979,099,502,635,915,986,307,372,427,191,681,729,745,364,537,181,
946,173,609,533,408,527,579,838,337,061,138,953,854,602,613,115,479,987,603,
798,920,641,636,546,989,102,134,366,752,304,736,880,229,154,938,101,150,050,
751,218,272,071,218,468,738,340,923,181,985,994,963,014,716,926,997,424,848,
406,781,784,474,660,138,280,858,740,535,686,391,772,538,723,029,313,937,066,
161,882,396,091,410,994,863,517,668,111,398,812,763,057,810,928,156,283,515,
141,257,041,572,446,566,996,172,377,892,907,522,464,059,857,955,336,641,172,
515,888,378,417,640,997,521,078,318,784,289,007,975,015,174,435,440,720,086,
117,528,561,707,538,879,043,148,660,864,891,212,928,967,048,918,160,816,837,
551,523,352,202,010,743,773,095,504,298,298,933,326,582,574,465,208,449,078,
810,524,338,202,462,388,526,037,083,846,192,241,067,476,694,890,418,899,642,
945,066,031,760,682,587,016,896,038,875,461,942,335,123,741,714,896,238,865,
235,460,785,653,482,639,463,102,518,466,531,275,651,385,829,226,037,883,260,
784,256,312,193,294,750,828,317,325,096,652,265,457,533,687,208,280,979,747,
243,891,712,065,275,679,637,692,611,850,751,445,762,714,403,028,433,184,124,
700,988,888,041,842,796,429,748,427,167,644,807,873,558,444,644,484,247,659,
991,861,397,655,011,712,445,922,510,922,492,241,972,064,763,019,414,249,973,
662,866,599,931,006,419,074,175,291,923,268,905,864,930,517,102,029,224,425,
678,946,987,453,977,437,371,777,372,478,249,390,652,328,368,490,311,174,098,
211,154,120,317,878,310,135,864,629,774,133,248,621,406,241,756,309,612,972,
355,307,603,205,757,193,876,344,475,579,224,502,870,693,330,048,470,069,435,
511,550,875,769,886,580,320,121,302,508,417,331,316,372,847,412,409,345,477,
781,615,570,071,343,278,631,559,010,535,181,184,011,248,885,700,377,545,479,
660,750,749,563,588,873,041,962,906,754,446,213,431,017,007,080,186,246,752,
632,880,921,205,127,631,634,650,558,620,972,910,205,071,068,645,014,536,597,
491,789,086,824,025,478,375,348,085,449,402,506,562,054,971,911,128,923,103,
232,189,185,325,894,889,828,566,952,396,997,350,723,093,949,200,557,597,147,
255,715,699,032,648,205,470,340,363,645,193,900,874,157,793,493,719,355,180,
923,036,299,472,639,760,153,712,499,696,661,585,651,546,642,906,993,605,460,
758,912,516,113,657,108,195,051,590,845,568,685,976,641,607,800,078,686,085,
881,294,930,088,675,966,010,267,290,741,898,229,813,236,615,003,673,116,847,
217,902,774,104,352,782,755,998,778,580,611,664,542,046,238,338,731,698,920,
568,980,529,124,738,676,200,667,531,434,233,087,938,146,627,658,247,247,860,
138,943,853,667,505,066,750,938,269,780,350,932,858,768,220,793,859,755,396,
785,156,156,724,951,398,241,274,698,114,470,372,580,586,850,634,537,818,284,
527,141,551,839,020,236,666,856,327,148,848,496,049,947,096,270,567,724,647,
108,281,401,673,543,871,481,841,398,309,564,722,020,098,527,657,333,120,394,
672,418,475,022,630,229,455,025,004,612,802,976,715,072,312,948,234,830,784,
362,087,371,584,297,159,804,513,703,099,649,964,370,486,779,514,135,489,545,
911,114,733,265,452,967,767,049,522,275,189,430,300,354,257,870,561,377,324,
384,496,267,764,347,320,810,260,763,564,736,806,895,741,564,719,264,217,526,
526,768,713,928,670,169,399,201,582,751,105,753,046,278,321,137,821,156,917,
666,232,267,086,955,331,272,150,567,621,851,532,398,397,136,319,174,015,922,
194,122,532,089,617,941,167,334,348,473,542,891,612,135,221,339,238,684,860,
545,609,955,675,427,069,553,019,868,056,081,956,038,218,029,753,186,023,681,
824,867,205,475,649,688,374,446,184,044,856,392,447,938,115,990,453,538,690,
186,759,550,661,413,663,204,670,569,938,949,100,770,570,637,613,362,000,495,
056,812,600,033,254,940,693,783,395,546,784,064,712,540,970,532,585,044,327,
995,449,842,445,868,417,461,864,419,278,904,357,218,044,683,661,096,265,901,
383,839,242,105,655,113,263,931,269,951,906,987,035,464,417,318,536,102,950,
845,981,120,928,897,925,545,179,625,505,364,782,489,106,141,624,008,615,865,
087,892,825,135,403,362,531,270,901,092,007,256,533,116,026,750,098,037,169,
841,107,334,482,584,696,679,526,997,882,075,687,363,334,666,400,616,332,730,
643,452,658,953,093,739,373,267,247,645,552,662,111,118,590,868,404,566,816,
316,420,385,367,117,608,507,080,913,160,378,915,505,180,672,607,936,854,335,
161,942,165,021,799,077,133,820,015,219,542,871,224,745,942,985,124,772,739,
166,982,036,632,352,792,417,502,296,410,911,827,691,984,052,058,612,671,692,
446,272,903,906,592,400,307,830,355,863,805,099,987,704,484,975,375,915,680,
714,647,154,580,886,978,722,975,712,964,580,496,916,784,767,134,067,508,935,
586,437,437,679,985,877,425,876,487,129,693,933,289,471,230,530,483,013,823,
125,019,253,482,864,101,146,167,753,833,975,356,881,542,821,267,561,384,553,
216,755,922,065,301,662,850,300,277,943,577,227,483,943,249,363,841,898,212,
823,403,868,183,567,696,843,442,301,139,424,918,286,304,944,300,234,136,832,
914,042,570,298,945,401,956,879,962,808,826,215,851,925,535,466,689,632,207,
477,996,443,053,917,505,415,287,999,238,541,430,703,929,102,389,870,647,214,
375,510,899,800,997,361,573,659,404,096,994,318,666,320,669,930,249,552,858,
295,853,206,041,904,327,530,481,648,500,438,061,310,558,030,314,922,958,195,
753,761,244,438,701,584,512,805,255,298,513,616,638,458,598,939,232,542,440,
557,005,869,331,061,564,122,476,761,132,842,153,153,064,841,568,746,497,048,
928,369,775,450,929,576,065,649,257,737,751,486,641,692,450,093,342,916,236,
321,298,510,097,562,644,330,615,076,663,250,517,865,565,482,676,714,809,022,
784,454,133,899,488,671,492,019,331,325,436,374,737,698,312,238,596,672,107,
150,447,240,780,289,660,707,875,158,467,169,043,425,998,798,176,941,982,443,
433,235,654,995,814,399,874,775,600,443,745,509,330,084,010,979,494,523,608,
358,340,450,414,988,814,333,339,713,722,756,386,367,332,699,533,455,859,533,
732,779,720,988,834,520,151,593,410,649,710,607,396,410,421,915,410,756,979,
799,804,119,664,812,823,285,898,726,030,079,416,441,147,494,285,748,584,699,
917,444,715,053,689,773,758,899,928,586,110,602,430,711,219,809,268,984,484,
587,768,825,507,599,232,712,611,391,103,450,500,125,385,257,524,728,115,687,
822,436,808,812,118,102,827,965,862,778,593,506,005,490,672,356,983,576,549,
642,314,186,299,556,034,448,932,040,719,902,842,722,163,243,614,247,385,571,
858,055,983,912,232,959,034,062,325,830,772,450,604,925,634,108,740,892,099,
806,298,862,926,879,461,227,192,601,769,732,857,415,577,273,837,152,849,681,
578,017,589,268,315,646,102,530,874,886,765,471,731,655,450,621,049,846,426,
777,408,475,053,818,827,618,424,330,282,591,900,099,013,892,562,202,279,067,
514,753,917,758,800,532,719,649,882,775,253,019,129,469,037,649,750,415,487,
412,881,300,624,018,894,580,369,721,042,233,334,182,943,304,499,617,341,633,
112,549,888,918,981,428,763,022,879,749,282,163,931,309,595,458,355,265,521,
766,898,491,809,615,008,210,203,650,121,142,336,559,315,909,234,441,407,579,
436,882,972,015,742,364,288,170,717,402,646,368,791,512,862,465,726,808,192,
057,779,839,896,646,095,901,787,173,945,491,959,905,183,336,581,064,999,553,
392,006,135,312,457,669,816,783,158,128,965,818,782,900,820,047,119,147,606,
391,092,489,663,592,783,050,023,364,408,927,050,780,416,701,542,268,709,794,
120,677,900,563,043,150,119,517,182,859,074,832,217,487,782,882,874,617,100,
655,394,157,729,581,647,184,179,219,330,439,921,364,036,380,927,820,106,568,
047,573,693,430,297,054,566,733,805,172,010,248,079,427,544,285,112,161,711,
424,771,402,229,448,697,401,661,185,673,643,457,276,017,970,722,840,514,441,
980,658,112,287,149,459,654,723,667,534,784,398,926,520,140,400,604,084,918,
177,318,549,156,719,582,107,683,926,276,156,675,867,039,337,851,313,150,723,
899,271,625,754,514,508,069,759,728,171,647,691,987,696,066,543,226,773,018,
093,158,692,498,537,337,823,067,891,477,624,082,975,491,362,940,001,217,852,
827,174,649,901,585,354,897,965,374,548,995,016,004,921,475,922,282,660,713,
794,212,673,150,656,995,440,568,424,133,530,810,918,246,023,496,537,631,710,
778,400,037,043,586,195,731,221,318,730,553,372,722,254,983,479,554,721,392,
402,736,353,017,026,819,929,412,592,035,672,543,818,744,017,240,569,769,157,
083,355,871,399,668,323,208,548,064,439,022,320,037,106,704,422,977,476,599,
609,369,234,997,210,065,547,448,545,001,631,681,181,498,833,682,399,860,108,
201,975,488,859,841,321,644,755,198,926,974,800,506,417,738,960,724,071,135,
342,438,882,191,573,282,844,682,468,195,662,199,586,885,326,227,638,875,096,
540,370,526,346,127,590,798,814,795,483,614,179,111,813,017,813,864,982,690,
616,984,365,796,222,068,525,323,338,636,625,706,530,698,773,906,527,944,080,
673,015,566,651,729,352,441,104,300,242,803,801,763,437,136,373,208,715,517,
334,618,428,209,779,531,188,641,258,398,738,209,592,795,052,456,697,103,851,
122,871,963,252,106,579,872,009,448,109,437,409,035,251,718,437,065,502,180,
160,771,019,911,814,681,424,837,390,188,260,920,894,875,305,846,809,034,080,
336,835,676,269,991,914,844,925,684,509,157,314,176,404,113,020,916,834,199,
938,521,650,607,217,109,321,354,996,987,993,847,479,322,282,771,918,505,882,
340,026,217,417,783,043,083,545,893,138,578,224,592,846,652,461,846,953,247,
925,697,808,745,983,551,781,917,774,692,900,361,827,009,629,645,430,050,651,
419,107,247,350,587,091,163,692,079,545,620,048,038,894,253,269,819,898,590,
681,329,125,714,221,555,496,661,338,303,063,305,960,174,217,696,613,228,837,
174,091,918,397,036,885,146,005,914,991,921,661,863,343,212,889,300,366,973,
247,327,235,153,012,262,570,081,461,743,111,195,190,923,010,782,224,255,496,
526,421,176,131,963,430,044,746,152,560,977,354,829,272,215,327,133,706,250,
290,746,594,183,883,441,765,638,203,427,658,507,188,031,061,548,037,917,901,
677,754,439,732,708,667,049,594,266,063,580,499,135,030,643,590,412,357,103,
578,401,200,299,467,226,344,301,092,857,316,757,800,693,453,480,722,613,918,
485,078,108,036,853,265,977,750,058,475,074,246,443,149,337,952,049,169,390,
690,330,132,395,728,071,425,606,532,753,522,736,829,815,906,252,374,811,451,
284,427,132,598,328,154,189,588,560,561,780,024,793,429,983,346,552,487,988,
934,018,604,974,770,887,352,179,264,818,536,154,312,033,259,267,724,884,074,
450,421,026,827,088,445,477,798,797,244,920,153,137,056,159,676,925,492,519,
761,503,252,153,816,914,580,764,095,787,264,715,799,386,986,015,389,658,078,
784,821,614,886,041,996,602,612,072,651,708,878,357,657,935,187,014,512,927,
465,527,124,261,508,110,070,116,281,226,469,988,110,262,453,671,609,871,805,
523,228,029,979,275,429,436,696,212,768,611,671,905,736,436,901,747,973,150,
859,008,009,696,266,539,894,153,119,474,437,103,288,259,566,705,137,388,708,
776,730,828,137,539,695,577,030,207,849,733,236,889,987,941,818,757,784,227,
520,626,249,150,510,750,530,690,423,356,324,675,507,444,604,468,739,807,534,
538,435,724,599,518,298,721,836,020,024,039,404,859,037,240,830,917,501,845,
834,809,148,359,883,120,706,647,216,024,005,077,716,572,873,094,885,586,639,
976,538,799,333,854,460,665,437,820,744,197,037,027,450,910,564,298,780,734,
553,150,138,471,689,004,557,599,446,443,656,488,138,476,454,794,729,957,160,
185,975,577,180,283,076,635,868,270,317,420,781,621,182,869,034,187,902,776,
501,120,928,800,117,772,835,018,166,008,364,235,091,631,944,295,842,794,520,
421,655,026,033,087,509,817,815,453,732,149,164,161,099,564,887,247,883,749,
215,355,042,605,618,174,460,739,774,392,160,775,364,182,058,440,453,752,109,
862,615,567,076,460,895,183,963,885,527,965,207,924,874,012,490,587,254,772,
989,614,958,039,752,408,840,525,057,055,446,040,840,121,802,342,326,351,851,
743,399,519,649,682,741,079,546,587,583,429,934,875,317,027,728,224,947,622,
589,170,304,482,474,565,682,382,724,393,623,243,386,757,369,396,655,553,864,
978,348,765,724,230,948,062,137,433,532,705,366,690,544,957,789,727,961,711,
237,285,206,851,210,239,825,096,835,002,289,863,487,885,725,480,872,677,588,
382,229,598,130,018,417,894,825,043,274,786,939,120,888,506,949,088,297,702,
367,156,739,434,449,762,412,993,348,595,047,817,801,919,401,303,181,423,672,
599,475,426,580,649,409,358,174,466,344,774,735,623,516,671,839,428,268,505,
037,860,564,971,462,405,929,308,831,417,668,954,424,053,243,525,397,837,531,
606,259,603,877,671,754,857,168,650,546,558,889,820,740,027,325,757,013,921,
579,054,074,086,415,829,991,675,908,787,644,687,376,799,562,219,617,823,816,
920,594,143,642,906,524,258,497,012,419,561,400,547,780,764,250,955,995,592,
070,956,696,165,072,440,684,315,111,881,440,132,519,473,913,146,739,750,970,
420,223,845,739,517,799,011,641,082,527,918,328,208,921,545,399,727,842,125,
157,456,439,582,867,879,506,487,071,340,104,680,323,211,388,504,810,261,888,
756,272,963,538,601,601,896,169,067,692,868,197,390,685,333,019,032,914,927,
691,211,980,900,219,092,390,686,311,381,889,068,607,742,363,338,646,204,606,
692,804,680,505,872,409,033,614,497,781,988,692,610,022,356,935,196,319,172,
468,320,603,126,181,962,394,311,576,104,886,691,137,617,168,413,507,364,013,
332,603,627,824,965,890,267,630,972,796,321,210,054,758,069,652,916,548,960,
809,877,776,505,788,635,629,759,169,228,326,113,401,608,077,906,564,521,839,
249,066,657,587,693,856,107,671,948,277,985,375,630,561,392,020,193,192,102,
825,326,062,796,569,658,635,479,125,629,247,235,018,522,865,401,954,810,948,
742,213,198,685,329,761,132,241,848,697,829,577,991,856,687,691,819,816,935,
983,205,655,024,705,526,287,281,703,769,915,541,808,449,509,389,999,549,188,
754,909,079,036,518,226,359,549,843,672,557,039,820,719,767,682,002,502,186,
182,303,991,015,356,836,302,642,550,428,578,712,854,417,812,858,442,976,412,
072,601,076,001,323,167,935,118,735,432,007,285,878,794,275,905,897,580,937,
064,959,885,793,714,672,508,285,362,874,775,458,702,961,109,051,698,470,920,
284,859,274,587,254,500,654,702,027,078,910,671,688,175,900,827,602,115,036,
644,712,305,861,998,267,703,564,244,864,157,727,742,305,981,189,480,527,269,
168,008,207,664,844,053,014,413,945,686,643,859,744,579,990,990,304,025,712,
627,102,597,671,740,232,491,527,992,802,148,610,559,204,870,516,167,741,162,
699,761,259,761,430,289,087,620,840,840,638,347,284,016,955,888,232,214,649,
793,974,758,174,682,620,957,797,079,337,527,554,668,752,744,209,368,553,534,
066,886,586,715,569,763,185,601,314,275,058,795,278,080,986,932,952,664,389,
739,482,224,849,859,089,523,204,046,974,953,284,707,595,864,976,654,977,760,
282,008,149,858,927,647,089,177,665,135,450,522,152,692,386,578,575,433,343,
687,540,873,856,742,330,176,899,247,481,867,611,032,989,252,014,717,085,206,
682,346,861,637,952,981,714,143,805,407,090,465,012,200,455,068,641,739,978,
454,010,296,004,115,648,256,652,085,776,288,972,374,472,945,056,834,116,197,
608,588,286,879,737,850,519,788,499,411,378,057,045,640,227,487,233,879,088,
304,603,211,608,507,707,534,547,950,553,363,815,045,748,791,376,733,203,523,
583,915,281,659,351,331,199,152,534,987,413,466,354,166,016,288,502,363,779,
627,227,571,998,587,973,331,941,453,755,039,312,555,470,006,671,031,596,753,
138,541,431,247,096,482,688,621,698,452,836,862,577,559,004,056,419,112,461,
645,339,781,642,974,992,081,383,952,637,599,694,589,076,555,057,248,656,382,
943,807,912,196,677,647,574,087,196,039,704,860,688,270,450,756,353,674,528,
845,545,265,155,717,233,913,658,410,267,040,855,360,907,593,041,265,622,262,
856,101,540,232,392,151,742,768,821,571,927,341,630,463,474,827,463,361,925,
328,282,688,064,093,368,783,612,466,094,445,473,715,507,664,949,900,362,649,
216,491,215,006,084,424,560,379,830,661,875,612,676,958,878,948,481,363,738,
312,105,677,099,616,030,109,105,838,656,488,786,432,497,892,162,016,840,245,
948,022,630,895,932,292,239,571,226,816,771,213,700,479,500,003,052,327,761,
052,455,290,392,217,695,204,383,633,666,247,968,380,786,227,470,578,670,607,
899,276,790,226,287,245,223,776,356,751,542,878,903,446,096,969,880,411,656,
332,685,232,476,003,508,948,697,733,107,068,858,067,102,484,716,740,383,660,
086,924,241,187,524,259,393,375,245,561,638,209,779,309,675,770,753,977,357,
191,541,257,682,711,922,169,584,357,761,911,423,868,770,858,408,169,017,531,
879,909,241,013,302,738,818,271,718,454,595,763,078,763,923,986,719,284,414,
670,179,430,545,146,434,137,459,732,862,041,094,673,594,291,264,856,700,190,
060,792,580,627,769,374,241,082,453,949,227,360,623,479,431,858,251,109,595,
048,100,366,556,612,274,310,901,777,705,448,930,661,394,627,504,261,867,438,
149,704,063,316,673,294,709,434,519,870,095,802,551,609,337,174,046,947,216,
676,697,555,214,348,857,687,431,901,162,670,095,084,114,183,509,739,031,260,
209,078,768,307,570,978,294,163,363,523,353,278,734,271,857,334,558,268,745,
158,804,115,345,191,493,895,636,523,841,060,846,315,380,778,483,361,867,781,
709,026,512,661,501,152,130,458,794,198,470,856,848,760,342,021,236,085,737,
738,287,328,413,849,525,173,001,937,074,404,796,202,752,448,532,817,502,452,
393,642,669,333,564,782,471,439,136,792,096,255,130,747,023,958,415,055,683,
885,860,759,707,542,271,720,642,635,833,447,373,914,701,972,672,812,816,281,
875,327,077,251,986,488,903,317,783,162,658,216,782,501,149,821,305,845,149,
799,850,239,389,327,392,342,573,943,697,101,119,375,622,230,629,801,576,817,
487,615,630,820,016,583,736,712,302,081,225,724,929,421,874,214,204,898,685,
136,105,128,442,494,393,339,630,060,862,859,609,214,683,076,769,112,045,138,
528,353,117,140,053,764,917,166,482,279,196,418,790,163,579,938,202,116,266,
686,491,739,301,015,364,700,949,989,729,202,190,759,593,645,752,056,321,496,
197,869,875,625,342,977,164,914,885,830,655,389,379,956,331,978,811,030,975,
040,152,961,083,408,124,398,233,765,262,477,497,240,955,239,966,490,230,469,
989,884,169,533,588,387,190,167,730,012,616,636,110,814,556,378,974,577,451,
934,187,201,931,760,445,880,881,689,224,728,154,958,065,700,839,670,114,995,
987,050,975,390,921,157,449,634,303,830,478,637,513,586,149,153,430,063,069,
756,525,272,284,449,586,779,473,085,235,984,695,667,189,770,882,280,130,859,
641,121,089,621,106,918,043,486,793,909,103,074,996,434,934,549,815,206,740,
315,220,568,467,789,721,918,995,743,792,970,059,763,822,122,489,600,034,522,
183,207,918,513,865,215,880,729,388,766,325,480,601,645,479,042,804,718,095,
821,253,999,509,615,976,946,765,791,618,057,918,998,357,733,217,479,188,535,
486,352,505,281,003,459,562,113,852,085,157,159,601,071,907,237,608,896,421,
099,919,011,109,136,183,249,778,875,505,429,170,043,773,103,250,294,945,121,
948,390,871,302,583,438,564,491,187,450,461,120,423,670,163,544,765,382,050,
530,068,455,256,147,587,183,272,147,999,901,510,595,460,404,136,483,322,863,
010,878,253,084,851,019,444,585,527,002,693,095,503,752,989,649,979,385,537,
905,051,659,416,568,954,222,308,942,729,957,426,828,300,860,909,270,117,444,
404,311,043,873,122,503,777,873,642,225,130,661,694,558,303,577,658,725,694,
521,646,459,195,340,498,521,748,823,830,729,940,432,650,072,528,423,615,890,
135,581,733,937,137,155,269,205,860,827,799,182,757,177,741,294,822,684,703,
109,831,230,713,163,366,377,459,480,974,433,357,478,321,483,686,343,065,181,
581,648,561,995,131,852,881,616,963,415,154,921,066,088,634,849,398,209,325,
524,008,905,634,130,601,022,788,893,514,994,385,793,006,434,318,825,405,812,
400,430,782,191,583,006,860,616,641,202,847,373,919,091,026,907,065,019,126,
604,809,939,798,981,071,418,784,328,152,590,150,198,996,814,135,957,223,337,
349,380,891,717,619,026,235,483,505,984,746,261,278,208,855,857,691,242,815,
891,530,444,943,770,320,098,764,724,657,761,998,001,449,997,462,814,458,175,
599,074,838,087,355,298,827,637,791,043,443,397,091,196,276,517,589,520,765,
947,213,019,296,478,231,684,489,782,031,619,324,225,056,258,497,358,826,679,
158,009,357,887,440,488,740,090,114,504,789,042,700,792,964,499,964,899,606,
981,776,293,505,609,913,504,997,147,872,639,961,791,474,423,807,317,312,908,
897,380,554,522,169,509,894,965,909,752,770,213,986,961,998,810,942,913,425,
348,797,944,751,817,483,453,135,162,646,284,293,389,191,156,455,634,326,078,
040,730,003,450,971,448,202,035,328,985,907,291,453,840,088,632,192,227,145,
085,288,884,244,037,895,147,895,272,640,412,986,487,553,316,590,234,230,041,
114,450,245,290,512,649,707,410,667,755,544,829,875,340,411,450,194,521,876,
075,785,993,168,661,468,190,543,731,910,795,122,704,446,208,761,895,384,188,
699,014,911,968,433,510,889,844,957,083,234,875,825,828,683,831,134,882,252,
811,354,701,537,253,639,122,203,121,857,344,042,475,975,847,506,696,161,353,
598,676,476,313,742,079,352,185,735,433,314,341,877,522,670,860,326,506,809,
247,005,167,729,049,428,127,043,129,066,835,136,495,511,936,883,377,971,121,
412,332,525,550,556,237,637,594,010,254,672,585,290,808,854,566,714,189,473,
500,793,591,371,231,743,667,123,408,553,951,419,011,192,059,601,528,669,031,
132,966,541,678,949,238,615,293,833,305,670,710,047,296,802,232,656,229,465,
939,817,786,983,875,592,631,764,624,469,028,408,222,638,256,486,103,368,091,
894,112,246,001,361,960,774,609,143,468,667,650,618,488,221,563,097,763,320,
013,724,251,114,917,111,777,087,480,753,493,334,799,126,881,288,885,799,678,
788,870,643,191,258,407,683,153,346,107,322,042,587,653,305,555,446,757,072,
594,436,767,406,066,763,219,292,737,331,764,253,387,646,922,818,413,430,179,
889,357,417,132,758,734,473,608,840,372,447,509,850,805,361,978,933,691,025,
619,157,927,739,152,395,990,525,364,602,840,354,154,348,227,045,569,641,894,
440,325,240,812,764,245,903,013,234,019,673,508,340,659,382,152,058,165,958,
271,783,268,170,683,257,507,651,957,545,287,418,583,569,392,963,684,924,854,
648,938,228,459,122,020,152,771,807,068,626,032,585,596,865,871,988,732,340,
090,255,978,190,616,201,143,301,055,756,881,970,513,547,979,323,338,972,341,
310,878,281,609,335,460,889,122,931,965,449,216,687,185,650,191,707,865,991,
816,478,075,998,098,084,979,867,501,182,348,759,809,194,289,389,220,101,243,
978,715,517,049,097,672,430,673,308,172,851,158,457,846,210,126,990,334,864,
442,239,506,053,154,893,531,813,098,258,225,392,214,371,982,401,729,402,706,
664,153,275,190,129,325,118,287,464,088,134,057,927,337,221,431,160,096,790,
905,240,186,513,430,899,413,518,597,289,581,128,559,711,541,932,394,933,927,
797,624,090,895,297,329,580,848,688,594,851,814,199,423,549,440,290,840,163,
394,170,001,202,811,973,190,301,686,868,329,618,609,042,329,895,323,523,934,
565,028,952,603,029,213,960,042,080,382,875,618,295,550,438,847,958,468,723,
112,306,387,340,701,767,961,178,634,076,789,304,148,727,744,427,137,916,750,
821,420,492,400,407,771,177,904,749,924,282,986,049,981,111,095,378,530,089,
751,276,882,509,411,451,603,957,107,387,421,106,961,083,332,412,858,026,021,
610,589,283,094,552,526,012,346,386,896,274,961,691,740,327,978,035,391,250,
245,450,949,363,787,064,432,857,847,434,177,651,821,237,969,879,110,057,327,
877,375,025,844,545,299,218,472,439,242,889,122,441,173,681,907,736,178,726,
831,338,225,422,879,158,885,668,139,668,155,409,924,164,682,015,496,859,131,
045,783,229,018,708,616,638,018,859,647,404,876,643,566,307,622,097,561,040,
833,751,646,638,119,693,300,677,541,042,942,020,844,453,299,801,912,180,031,
206,082,523,534,221,912,652,502,795,395,163,119,392,606,135,950,881,684,887,
784,676,335,505,940,720,869,607,219,272,158,718,077,834,223,511,044,765,146,
565,850,802,496,321,068,007,426,441,111,066,449,708,370,197,991,408,671,340,
234,281,301,928,062,201,278,145,053,525,919,211,175,249,893,403,886,951,965,
806,807,142,549,476,977,756,390,085,266,102,066,924,641,450,397,992,444,453,
353,968,552,332,057,194,106,953,517,108,347,045,427,941,873,105,023,152,477,
767,425,074,723,399,471,707,447,629,694,136,544,396,370,422,140,957,839,553,
859,875,229,848,819,846,226,122,802,193,368,988,671,797,050,578,041,389,634,
382,902,328,162,582,078,688,553,488,135,293,543,187,806,241,433,686,474,739,
594,656,554,348,359,210,699,135,767,692,035,153,049,043,381,695,667,564,091,
485,400,851,819,108,570,699,085,212,669,243,333,789,399,616,395,537,345,796,
430,684,699,233,311,060,330,750,073,828,293,163,751,575,143,048,782,171,456,
407,367,762,428,405,924,694,993,954,853,101,517,608,087,242,836,682,051,489,
200,409,214,726,551,176,943,090,892,114,451,685,037,409,839,791,551,098,310,
692,535,007,159,998,873,431,587,034,131,219,478,417,103,405,812,536,650,116,
080,546,973,187,056,346,191,795,634,685,247,499,520,224,485,318,939,602,622,
244,537,874,949,597,971,760,292,269,992,178,438,621,980,689,533,275,246,423,
311,254,406,014,461,301,675,452,592,838,677,431,989,391,805,722,686,214,393,
247,721,905,581,603,507,807,678,270,962,551,770,427,110,899,897,930,717,789,
182,557,900,992,511,573,245,740,291,894,847,146,140,956,163,884,547,254,496,
626,470,699,116,287,447,019,784,762,370,236,859,168,217,593,557,952,775,405,
276,680,835,563,345,963,681,753,685,605,570,596,204,464,700,192,473,423,945,
461,082,009,067,200,329,462,267,449,160,384,285,590,368,108,646,036,644,008,
128,633,326,989,311,927,307,628,271,390,461,651,205,062,792,453,399,469,011,
636,289,642,341,332,770,253,501,514,666,842,164,311,831,948,337,661,996,277,
859,584,253,756,405,834,541,653,139,645,881,666,115,936,627,520,289,406,050,
915,957,934,837,050,885,021,046,487,698,893,702,062,094,503,532,114,572,362,
154,045,704,089,848,661,839,873,680,758,140,202,585,912,208,108,423,354,090,
085,301,914,825,255,120,037,946,608,829,701,401,981,895,859,121,723,665,240,
703,616,238,506,576,742,406,533,412,416,866,900,053,121,010,018,802,423,157,
839,135,685,016,928,773,061,490,735,884,627,378,915,374,055,063,920,987,769,
301,668,116,177,491,178,017,857,295,712,916,397,372,093,481,160,300,756,066,
527,869,891,241,152,687,360,068,276,079,936,651,877,466,505,731,023,432,631,
408,104,712,812,954,475,729,322,184,816,818,304,964,392,402,615,831,882,141,
629,553,422,323,826,485,463,329,881,448,828,250,250,003,010,385,064,756,407,
202,090,428,254,703,366,598,072,775,477,317,366,990,226,798,481,757,691,131,
095,784,605,099,089,030,737,061,465,665,926,750,001,946,662,906,893,106,658,
369,294,879,456,452,057,572,792,999,560,465,207,165,704,643,995,222,112,993,
945,598,964,350,524,486,678,688,356,379,152,538,150,329,482,801,405,645,189,
608,986,096,381,865,801,054,487,518,288,678,824,888,213,183,474,559,278,885,
973,781,421,009,177,816,640,067,443,657,539,586,408,116,402,967,935,288,973,
724,162,984,417,737,613,280,201,467,928,528,959,131,824,703,507,059,526,768,
883,908,514,643,421,640,981,657,884,183,483,587,648,949,873,740,717,546,003,
059,937,805,750,609,310,167,132,859,871,680,167,647,148,161,738,137,001,594,
697,231,544,140,020,861,745,060,228,832,661,304,313,333,252,513,236,684,409,
252,017,889,039,948,235,155,252,661,409,145,961,425,536,778,168,120,813,940,
068,158,432,144,200,303,866,681,205,013,187,916,450,892,225,141,443,471,591,
215,464,597,946,456,712,435,980,593,574,579,839,930,801,414,009,557,498,375,
490,566,519,934,433,213,282,520,216,416,525,535,288,163,729,839,829,910,483,
334,883,663,915,130,369,463,625,949,186,575,968,450,580,460,286,796,741,160,
772,645,057,623,652,977,436,825,051,774,736,850,591,672,620,231,059,449,714,
697,066,720,553,890,408,682,891,217,167,103,988,412,008,704,117,135,382,655,
643,530,219,510,434,782,604,029,661,474,164,191,650,077,893,409,777,532,605,
193,323,163,884,721,202,175,831,192,520,489,386,981,373,797,165,102,828,336,
259,131,386,167,505,615,008,134,922,335,011,998,450,591,478,726,200,717,057,
165,124,193,590,397,381,594,256,659,136,957,580,258,865,682,152,431,736,324,
799,141,573,923,717,370,960,108,924,578,370,931,701,322,430,493,475,249,470,
606,024,641,418,638,840,418,832,226,717,622,434,567,423,589,582,822,378,583,
530,034,560,047,665,663,308,895,489,931,473,073,265,922,290,195,827,695,150,
232,824,179,743,637,733,172,753,518,868,742,511,772,732,963,046,923,506,816,
468,689,332,550,709,190,116,413,446,408,368,165,961,763,926,785,555,067,619,
964,196,819,957,046,218,157,613,211,518,062,830,888,182,376,362,388,315,280,
001,836,444,511,439,746,481,558,720,624,033,099,901,772,030,742,121,015,729,
050,870,551,844,786,299,913,089,690,640,451,540,286,455,123,442,970,290,275,
016,196,249,812,797,563,996,786,478,918,325,812,725,977,426,782,473,505,113,
483,763,730,767,790,783,316,565,029,076,899,010,023,792,069,952,229,005,713,
112,635,856,021,519,430,494,953,770,162,655,727,971,149,323,126,684,232,528,
019,455,026,594,512,974,201,245,679,684,809,300,042,119,602,443,600,493,025,
246,427,199,130,217,995,553,946,125,125,497,949,432,027,575,081,750,031,362,
725,969,181,544,682,538,989,797,610,571,846,407,239,609,077,705,554,969,140,
392,575,288,014,794,463,137,497,356,981,401,471,643,356,962,422,954,080,191,
921,665,691,102,309,837,683,596,842,857,046,455,676,049,130,534,956,627,536,
618,822,749,962,405,572,157,951,352,931,884,152,750,830,835,495,494,265,682,
157,893,801,347,940,902,489,164,894,524,166,715,034,525,359,936,417,148,475,
413,124,357,025,427,250,619,659,628,547,164,348,223,103,236,931,046,789,577,
242,110,249,119,312,302,671,043,137,995,016,265,326,837,592,004,299,579,913,
005,391,723,664,936,463,074,123,126,366,800,239,929,072,706,384,796,318,575,
588,287,412,801,998,689,196,367,525,007,678,808,684,866,631,084,680,213,140,
068,145,303,033,978,933,420,586,431,908,080,214,200,972,328,091,546,625,625,
925,575,998,307,731,508,984,909,003,875,240,014,536,261,260,470,341,192,328,
174,806,413,378,630,405,521,343,894,985,643,922,544,189,079,411,177,511,809,
375,654,893,073,132,064,029,208,258,960,752,751,800,423,934,488,930,438,998,
556,446,715,137,958,210,150,159,713,473,233,289,188,522,976,269,774,674,112,
493,265,505,463,390,809,972,184,972,600,412,166,779,374,402,830,476,955,915,
585,658,127,767,960,880,458,275,063,854,140,730,633,964,006,522,911,276,345,
129,952,841,596,903,278,265,396,262,175,966,930,369,812,481,735,071,009,720,
250,653,280,713,275,823,655,846,796,805,961,899,470,558,940,738,685,361,336,
907,981,361,810,426,941,411,212,712,874,490,069,172,303,620,100,783,956,023,
361,235,157,745,843,681,599,370,924,384,937,026,246,416,192,674,266,122,321,
804,921,097,489,252,976,472,822,390,580,591,903,712,039,593,048,506,605,180,
986,001,914,027,573,281,785,666,014,214,195,017,263,331,665,911,541,032,045,
412,946,608,498,532,159,470,714,964,635,566,591,061,045,142,643,221,301,751,
386,170,884,305,441,968,938,971,785,980,102,046,807,668,824,211,771,586,352,
419,834,257,424,825,753,821,997,180,216,582,052,698,164,755,364,346,298,211,
338,007,828,972,233,357,211,794,200,994,356,408,060,581,725,739,267,773,853,
490,221,123,064,637,748,533,108,654,847,578,054,173,485,865,484,903,462,628,
391,876,392,597,062,750,986,575,204,559,221,205,602,569,497,106,852,324,224,
327,786,208,616,690,521,664,957,962,394,733,877,467,375,983,599,149,711,301,
952,616,775,695,275,952,476,499,726,973,822,318,789,319,952,624,376,324,290,
808,213,251,158,025,552,226,349,071,717,226,930,320,551,661,647,101,033,389,
898,499,971,215,669,432,512,435,469,738,203,771,093,887,734,652,654,379,278,
962,924,035,331,708,855,613,341,419,062,880,238,165,301,719,078,900,714,131,
104,299,488,746,177,364,993,688,695,121,496,464,616,100,158,230,397,454,456,
659,395,130,727,891,598,827,825,709,171,505,657,870,974,390,285,228,816,355,
677,660,159,311,377,668,044,050,169,634,718,222,382,031,845,858,448,816,497,
390,435,703,143,581,073,772,855,238,830,514,837,080,999,354,134,077,762,688,
049,228,065,044,103,142,342,573,447,205,855,966,793,460,248,673,006,778,479,
686,588,897,436,621,875,789,969,319,287,645,378,293,256,890,777,082,281,065,
493,551,639,644,418,045,681,438,156,555,810,020,626,594,334,023,915,582,563,
074,481,414,386,765,548,722,714,944,385,505,395,775,205,944,619,682,145,398,
639,728,813,917,921,049,805,327,850,930,244,638,688,667,884,980,072,114,886,
540,475,906,219,559,051,766,673,685,355,804,492,217,165,871,319,680,874,819,
422,701,354,716,564,230,122,565,042,718,298,083,801,619,899,840,558,620,582,
851,674,803,552,172,153,061,340,213,459,426,447,141,904,565,043,920,734,193,
956,801,255,316,649,249,369,513,503,490,653,680,536,115,221,142,824,687,543,
878,469,566,357,521,236,321,829,847,075,612,743,415,113,728,119,326,375,081,
609,634,983,974,392,814,487,117,571,425,041,445,358,233,417,694,564,774,797,
292,737,226,635,226,415,957,504,464,056,967,158,649,417,534,823,067,010,591,
786,895,853,732,241,710,646,322,549,465,344,421,425,123,355,507,380,027,148,
247,481,773,516,371,862,195,596,358,642,705,258,960,570,078,651,197,715,272,
840,762,093,525,297,734,511,943,120,599,028,143,557,265,156,657,249,707,319,
125,671,266,335,776,353,737,666,109,549,363,086,017,624,901,045,051,487,628,
523,532,610,683,891,847,661,294,346,488,072,580,868,367,581,133,543,801,945,
525,900,498,740,791,862,131,215,553,498,937,259,009,988,858,653,738,501,292,
209,218,670,837,070,039,802,798,968,821,497,306,759,633,904,454,467,358,634,
783,740,428,050,612,841,790,238,094,646,218,583,487,060,961,268,131,348,260,
787,784,736,571,702,381,134,647,310,530,543,013,773,536,586,741,664,147,617,
998,432,674,416,339,655,760,766,959,549,004,810,411,701,745,181,776,297,505,
901,366,153,173,670,498,641,660,213,362,144,338,774,573,411,490,821,943,644,
414,034,368,902,816,818,010,483,324,463,099,533,360,367,251,241,504,932,930,
301,070,049,584,632,989,827,902,073,128,705,233,364,107,902,281,052,758,815,
475,029,084,386,322,899,079,848,146,296,336,875,564,858,548,067,680,094,114,
023,414,669,052,791,542,496,656,297,792,634,801,571,342,790,109,625,577,039,
330,879,848,583,515,726,954,309,202,734,907,388,974,134,577,780,441,870,616,
471,314,763,814,928,731,379,815,674,470,921,433,331,266,544,790,685,095,041,
652,651,937,308,687,816,424,492,295,595,034,326,589,614,663,038,030,737,533,
115,226,500,579,614,101,318,287,061,028,625,323,626,793,752,950,822,399,392,
018,516,135,410,260,224,717,012,406,893,206,556,220,833,561,918,987,247,402,
697,123,135,713,193,220,878,840,053,402,337,354,544,758,478,737,852,915,398,
910,900,642,559,669,094,448,973,773,659,573,059,966,652,923,033,359,781,670,
177,209,066,388,648,192,856,651,933,409,878,600,386,794,256,513,856,405,267,
033,080,368,224,419,830,749,247,239,839,246,542,776,474,667,297,189,677,787,
622,919,743,499,319,344,938,190,799,470,027,162,776,847,197,664,552,978,457,
988,368,837,653,643,184,021,610,863,396,150,585,351,942,346,024,793,170,199,
892,753,728,212,061,636,430,304,358,113,603,984,508,449,315,317,153,510,227,
016,522,345,505,865,652,289,799,189,083,287,601,507,509,184,648,557,835,536,
846,195,578,408,198,368,357,917,477,533,306,869,644,814,757,710,628,490,128,
880,698,869,125,402,591,746,138,126,772,047,456,601,276,895,571,560,324,278,
755,474,723,307,748,078,738,275,431,015,286,964,854,995,661,211,568,480,747,
433,975,586,607,485,255,758,380,325,007,340,910,243,839,231,081,765,017,950,
721,434,393,124,250,319,895,310,908,384,582,258,289,155,787,783,659,163,136,
657,898,350,916,420,684,192,977,993,070,368,620,323,073,087,162,754,201,187,
156,749,087,753,589,620,283,816,802,361,411,605,167,973,515,358,573,104,298,
990,708,077,158,297,858,860,680,730,035,602,975,353,450,883,481,714,692,146,
231,575,662,007,346,410,138,379,073,330,743,255,228,116,764,241,965,144,365,
913,505,252,822,679,695,565,731,235,154,739,745,431,943,703,895,543,769,835,
408,929,455,373,511,633,036,939,454,148,759,774,755,319,679,120,804,103,530,
662,992,894,347,526,571,197,895,115,467,145,619,538,311,996,125,595,168,548,
963,291,942,262,622,812,899,783,294,326,489,766,520,370,536,947,682,586,025,
383,508,827,360,112,337,980,899,071,436,581,865,478,524,390,524,097,816,087,
852,691,909,024,055,068,016,907,788,465,456,997,557,763,819,852,868,238,249,
790,984,835,887,744,309,489,792,471,773,148,107,949,211,615,547,148,515,169,
791,661,856,405,809,312,581,828,730,794,729,685,345,224,375,166,786,200,626,
553,319,901,336,066,660,607,580,119,633,356,960,304,131,103,354,269,621,264,
152,797,796,721,785,338,564,545,591,151,179,705,683,592,399,401,672,833,373,
431,450,666,926,371,167,181,910,638,891,645,599,340,981,693,876,048,223,282,
580,529,637,256,576,942,399,456,258,937,927,632,971,450,820,055,490,978,805,
473,363,929,218,444,405,382,004,529,661,296,875,519,479,057,171,894,781,048,
948,568,522,506,537,182,503,592,452,664,174,125,537,098,815,205,572,885,949,
602,168,413,853,799,021,908,776,978,886,205,120,348,263,494,406,288,834,776,
816,410,992,449,285,772,343,583,653,205,009,782,257,353,975,456,789,669,342,
572,003,998,987,091,871,933,168,536,493,044,015,565,130,200,968,676,201,431,
493,341,524,649,788,298,298,520,081,739,343,514,296,712,740,300,439,573,875,
384,302,893,853,381,036,095,954,797,990,859,518,471,221,576,102,978,796,608,
197,323,518,393,384,302,366,042,455,806,391,553,948,417,374,881,456,998,228,
707,295,115,509,633,263,171,492,438,539,275,480,082,607,513,450,489,071,063,
232,503,348,688,841,589,060,070,360,037,331,679,126,186,178,038,895,239,290,
805,050,234,285,446,907,016,570,984,297,430,643,507,031,323,017,012,332,208,
613,138,927,986,549,078,304,112,881,977,876,083,397,121,787,514,608,326,571,
232,207,330,351,402,670,696,689,405,641,687,973,832,349,720,697,612,842,204,
281,987,336,411,698,170,107,006,311,149,215,948,954,826,945,811,763,066,016,
786,866,957,899,216,892,135,350,454,185,588,124,643,127,566,696,335,052,200,
384,372,450,902,925,840,494,674,381,411,683,336,479,824,787,038,871,821,220,
216,829,246,605,114,749,624,137,367,068,933,454,006,793,277,860,605,222,611,
763,030,033,185,589,380,511,941,787,264,589,750,586,974,405,281,254,869,407,
534,509,268,393,591,426,234,036,686,453,775,401,087,774,926,712,648,608,066,
526,139,260,245,745,086,659,699,996,566,648,250,324,532,824,229,344,216,183,
949,133,102,018,929,676,955,028,563,317,283,516,488,519,294,281,818,412,919,
397,649,421,345,868,908,381,757,111,060,765,497,379,864,909,851,755,707,933,
617,411,024,566,727,926,008,309,625,650,790,558,589,803,957,952,528,915,811,
147,687,743,896,039,711,072,940,532,614,630,336,574,398,035,327,087,554,794,
784,241,203,261,938,591,579,630,399,553,570,352,826,654,330,176,390,910,016,
337,593,197,061,158,837,227,226,922,024,990,093,224,800,910,428,759,740,225,
199,878,609,982,893,782,821,478,577,092,780,848,250,892,056,071,059,495,926,
854,494,059,450,034,396,287,758,039,736,560,037,494,309,528,541,615,091,029,
860,810,846,587,094,334,337,097,855,570,534,559,305,924,208,135,589,840,507,
935,901,845,445,686,804,352,855,098,519,977,517,219,873,943,218,096,480,578,
215,362,492,353,566,665,054,613,195,649,911,011,932,835,391,304,917,340,474,
611,173,067,187,272,602,235,963,793,010,666,994,224,879,691,830,113,018,157,
052,343,073,259,554,203,129,206,296,635,497,996,207,405,280,172,585,978,056,
062,607,789,398,974,888,551,689,703,737,134,172,476,093,575,821,013,348,910,
285,665,821,964,273,313,332,028,923,846,673,090,181,093,149,055,576,779,233,
271,979,435,684,435,447,524,653,546,187,643,679,608,863,365,101,596,117,746,
801,754,461,251,569,535,935,025,718,454,182,438,644,962,040,507,205,376,557,
312,379,801,028,643,517,770,781,272,949,102,490,409,750,965,197,185,064,006,
910,566,547,888,339,727,121,801,235,946,175,220,765,301,394,067,072,448,437,
313,317,887,001,839,184,142,109,856,105,643,162,249,544,371,222,257,301,849,
488,961,887,747,089,396,698,720,428,454,392,064,625,976,435,383,906,420,904,
498,093,624,970,199,442,984,728,230,335,980,822,840,415,809,173,101,856,656,
339,066,581,096,336,866,780,019,747,390,668,139,265,592,279,594,261,285,607,
285,561,777,669,023,366,889,099,158,784,973,724,100,629,584,170,184,817,699,
916,833,692,948,062,428,120,364,378,638,964,375,629,269,324,957,740,670,574,
908,650,155,820,819,783,127,273,669,293,395,426,937,526,584,962,003,760,496,
180,168,847,896,446,386,177,811,432,608,534,382,903,976,563,564,352,928,316,
323,583,165,818,576,062,847,729,544,566,730,807,642,308,940,328,384,443,865,
434,385,378,883,057,031,364,020,420,908,873,200,057,078,638,496,286,266,366,
718,406,613,887,559,727,384,698,965,249,501,206,299,240,312,290,263,422,447,
780,497,461,234,117,586,446,475,474,135,351,986,779,462,147,502,772,151,462,
835,059,873,347,977,605,041,549,889,122,332,526,542,866,192,899,471,679,029,
687,899,517,619,730,637,011,123,914,548,666,729,991,703,590,034,269,019,193,
540,622,652,562,725,877,333,103,334,200,321,266,648,637,832,874,473,695,075,
253,670,654,432,645,414,700,399,815,882,960,356,521,749,974,753,369,294,204,
970,497,274,452,518,856,946,100,544,298,746,740,342,701,807,168,483,751,792,
823,719,112,299,108,971,811,781,083,444,017,872,371,719,535,925,542,334,166,
436,270,221,344,086,763,964,008,377,057,562,882,942,702,498,493,578,166,855,
637,381,482,806,894,056,806,668,325,865,608,582,478,587,303,999,331,528,810,
930,222,450,954,606,732,453,628,866,955,391,977,249,689,964,933,002,787,772,
050,606,296,998,972,922,835,492,749,342,820,052,818,112,036,239,350,309,132,
037,532,699,131,162,481,147,738,208,396,462,996,667,741,445,375,948,408,791,
936,909,810,065,785,954,820,481,760,751,580,286,819,629,092,821,596,044,416,
068,423,184,800,721,832,668,565,840,384,852,920,233,788,964,059,183,785,740,
406,673,751,071,557,025,188,542,486,256,016,588,473,500,031,374,800,443,206,
845,885,339,866,250,962,057,133,618,484,122,256,176,802,068,684,519,075,220,
244,861,646,226,181,467,880,853,179,303,010,842,890,192,046,025,678,781,349,
941,358,387,082,970,768,632,637,102,028,167,401,650,695,682,299,598,618,519,
771,735,857,048,363,615,524,888,186,459,227,217,767,125,796,426,658,942,754,
957,059,447,580,228,864,173,150,746,084,973,947,216,357,394,804,915,390,815,
500,631,349,540,651,771,881,157,411,122,075,085,014,074,022,365,357,401,400,
455,110,733,798,062,470,445,596,712,269,370,853,645,674,608,724,776,347,203,
433,990,361,080,923,135,209,814,732,453,574,401,781,428,376,600,891,737,384,
265,243,743,049,811,672,378,201,659,374,607,399,924,863,617,178,922,921,053,
930,021,044,932,369,532,532,815,867,523,247,007,936,147,935,500,396,570,511,
360,115,292,499,700,067,588,994,307,362,360,665,571,070,999,569,109,659,743,
238,108,479,784,865,614,638,545,339,024,155,856,597,654,333,079,117,402,805,
946,791,807,543,576,833,347,421,691,716,332,481,337,689,678,063,527,460,153,
561,625,191,334,720,271,045,234,348,025,650,256,900,714,461,412,331,840,457,
825,092,149,008,013,403,639,220,677,745,634,084,044,429,359,775,191,166,521,
270,582,906,814,508,843,919,742,847,598,072,356,203,654,009,161,717,993,180,
810,952,221,712,048,493,921,384,298,114,712,669,158,086,708,051,835,287,406,
828,606,440,851,703,881,663,714,842,359,317,693,618,870,218,438,827,453,507,
443,944,535,198,363,760,276,070,181,805,709,390,507,876,734,691,393,167,406,
478,010,196,948,323,764,164,013,435,590,900,190,632,464,511,898,760,363,992,
169,882,541,274,008,323,401,819,646,430,882,609,825,157,895,173,686,055,181,
522,816,236,158,822,958,970,299,042,515,516,593,624,378,600,027,657,809,056,
702,602,170,833,098,227,904,412,320,665,296,709,203,547,661,930,528,270,232,
909,155,932,932,215,252,833,960,153,931,341,262,534,511,514,500,451,390,722,
236,106,966,477,641,876,610,465,168,970,187,766,638,607,237,479,951,686,544,
220,841,149,599,493,559,396,750,833,696,718,534,043,724,183,041,032,564,648,
957,898,669,279,908,303,587,705,824,628,083,799,313,614,238,247,798,807,679,
138,308,662,097,794,455,011,152,288,251,618,228,563,804,986,345,829,857,393,
427,199,856,431,873,190,886,693,188,042,880,969,306,253,957,371,998,116,454,
762,741,155,651,070,749,967,080,142,838,516,821,985,497,028,644,088,228,328,
715,866,466,186,669,327,135,660,820,855,131,247,942,858,853,247,958,990,120,
912,751,659,754,928,153,583,116,895,455,507,183,336,264,162,559,272,174,443,
300,913,740,449,735,303,786,784,618,318,099,583,567,928,293,631,504,179,307,
444,906,819,553,519,155,488,535,317,436,765,533,214,327,517,130,373,851,704,
325,542,994,285,055,106,787,089,500,676,283,309,921,900,210,249,937,232,978,
046,258,265,905,656,127,312,154,859,044,885,331,668,808,900,844,772,889,325,
487,829,603,755,644,794,153,433,055,481,671,628,073,296,406,605,847,451,391,
823,358,578,626,462,154,160,926,221,495,655,827,919,778,015,975,357,683,850,
069,624,727,586,373,743,981,765,211,077,141,191,596,883,674,351,098,521,200,
159,220,847,434,197,395,963,517,296,639,323,593,306,657,669,912,310,690,324,
688,927,100,957,910,695,858,579,592,855,541,942,178,039,499,164,991,711,115,
071,794,405,839,734,602,923,387,784,221,465,141,650,320,208,614,793,894,197,
929,192,338,729,644,478,163,938,941,583,668,844,702,029,928,238,018,141,757,
364,019,093,447,108,529,406,093,423,081,370,654,553,161,855,950,663,537,617,
630,115,320,591,903,519,309,229,823,744,933,650,881,002,777,378,720,984,579,
032,189,824,848,491,371,775,514,284,785,897,844,745,777,737,474,924,015,985,
593,162,927,502,650,131,175,522,234,527,669,695,059,566,742,234,571,005,718,
259,368,294,016,628,857,203,130,193,608,753,413,490,435,400,199,317,904,002,
252,040,297,099,946,158,930,599,039,117,534,578,173,883,778,761,973,288,928,
053,784,468,032,847,082,269,107,519,126,951,099,771,526,909,077,899,836,748,
873,130,255,065,059,224,618,878,860,068,739,454,130,085,370,221,937,557,828,
581,865,928,009,751,961,181,047,229,840,754,929,715,637,016,418,405,992,759,
126,875,438,247,593,998,095,275,469,031,803,880,608,658,010,869,990,133,405,
641,497,093,326,506,690,557,194,949,650,650,806,574,916,480,393,123,401,968,
492,623,793,371,045,028,812,152,264,582,138,096,577,169,811,495,428,622,686,
113,792,089,143,982,072,039,243,277,477,391,320,663,458,317,430,061,031,816,
844,519,698,675,910,361,151,104,975,174,029,333,992,869,411,888,962,541,106,
770,620,315,297,818,746,014,603,385,368,031,953,523,386,272,841,408,119,017,
026,118,737,087,366,871,736,837,576,852,713,426,196,246,210,138,929,673,365,
142,091,903,085,750,669,071,404,978,888,322,078,370,588,003,651,345,669,076,
099,732,946,963,923,217,263,781,467,631,518,052,591,950,851,511,537,074,906,
173,211,100,968,910,340,857,751,419,818,850,447,896,496,292,354,759,117,948,
298,056,758,282,804,793,344,282,213,812,357,973,510,159,238,629,783,647,150,
164,780,838,512,774,509,354,504,061,969,842,950,881,632,096,691,388,568,552,
611,089,333,480,302,603,851,047,513,811,769,291,953,765,291,753,822,394,834,
002,680,973,494,098,159,553,854,880,171,882,744,111,104,249,278,532,649,584,
118,963,780,356,179,791,545,994,126,679,129,002,974,185,893,848,337,951,887,
604,997,839,260,444,132,401,786,104,077,242,356,032,354,860,133,637,545,493,
930,689,423,284,934,248,553,852,476,792,646,645,046,426,647,099,316,058,796,
400,405,390,045,711,743,917,861,409,206,339,401,304,639,847,811,653,064,179,
541,546,652,811,774,421,364,183,680,002,658,427,964,378,313,748,725,611,329,
918,912,369,590,627,185,854,454,136,292,229,884,684,027,166,703,945,314,501,
482,617,121,407,539,783,722,555,878,538,991,367,420,816,207,599,819,729,208,
791,310,167,835,521,010,405,571,901,386,845,397,748,190,580,676,081,212,666,
276,079,240,999,531,385,600,824,685,950,111,047,844,425,296,783,063,362,002,
761,729,893,304,818,143,895,586,083,873,288,157,261,709,611,534,555,798,510,
205,954,522,738,694,473,583,386,545,513,123,765,980,593,293,953,687,301,685,
415,899,052,325,030,424,255,434,471,698,858,196,286,507,422,322,977,803,460,
182,237,386,634,234,594,191,487,073,426,174,031,085,850,718,991,672,713,263,
354,489,231,189,503,520,199,579,248,383,381,104,927,314,288,749,810,629,735,
585,094,127,107,701,845,487,088,104,192,885,226,427,584,392,460,631,438,660,
474,029,845,872,560,043,200,794,309,781,624,571,422,460,794,525,812,898,152,
116,279,195,184,651,364,397,709,273,612,333,090,255,246,491,768,860,426,217,
046,372,210,735,428,843,415,927,833,936,180,838,864,879,787,605,578,294,239,
177,261,804,076,975,856,222,292,398,517,603,602,940,421,090,024,484,119,700,
481,195,288,129,682,259,320,093,089,476,975,596,687,373,555,951,264,516,677,
906,685,952,588,512,454,370,711,057,044,036,503,292,251,189,153,157,237,424,
635,809,783,789,991,121,278,160,681,954,723,763,712,757,527,018,071,585,838,
284,794,953,187,554,443,994,223,559,969,599,656,589,153,523,993,414,336,078,
824,168,800,705,737,787,313,517,939,001,615,705,571,191,586,128,132,652,248,
730,691,275,951,439,353,911,385,049,968,675,109,702,260,127,067,613,375,526,
805,810,323,302,682,874,450,105,107,192,231,299,539,120,121,585,130,613,792,
207,893,939,349,854,084,243,069,114,538,060,246,243,555,837,152,931,151,929,
851,708,446,575,538,560,408,565,399,216,754,839,727,277,742,892,176,685,813,
459,147,854,368,142,067,096,925,840,754,701,979,255,269,579,666,011,397,676,
474,320,308,084,404,099,389,337,666,610,737,026,709,908,633,812,635,433,448,
287,533,559,393,998,440,095,868,279,625,953,382,210,658,694,870,544,985,059,
827,329,562,577,575,672,771,231,807,768,984,149,654,404,447,687,083,500,366,
004,385,971,797,189,448,747,592,375,139,432,359,735,178,368,886,990,793,453,
525,755,906,047,494,799,250,865,683,392,292,011,643,990,831,977,022,372,571,
652,581,578,054,952,478,299,172,177,352,739,138,124,120,182,890,725,389,356,
640,998,180,034,390,684,472,162,570,623,907,180,024,591,018,944,996,339,932,
285,451,638,710,168,033,735,179,789,361,192,377,193,437,454,491,886,160,415,
113,471,640,733,566,454,163,106,268,230,614,236,663,360,367,095,089,342,468,
707,362,427,524,138,827,637,649,545,585,814,779,980,473,766,502,351,227,887,
519,798,693,658,899,404,885,059,698,783,396,658,113,857,328,406,187,943,137,
310,897,573,758,168,704,497,347,641,289,454,899,925,627,638,579,837,078,323,
554,533,925,307,256,192,808,921,295,269,903,920,191,613,696,786,272,086,907,
483,505,209,170,411,133,600,024,883,589,630,304,018,598,407,312,992,262,084,
566,691,747,689,562,679,130,450,272,623,322,309,033,345,572,545,133,146,768,
788,353,763,362,156,431,796,129,552,143,942,536,384,277,911,623,227,759,916,
731,301,621,476,403,265,983,378,125,774,420,240,115,808,393,383,830,178,734,
903,826,967,621,817,545,941,143,445,066,339,523,347,249,016,300,360,556,006,
505,729,631,034,673,104,023,361,443,204,848,539,037,000,376,654,810,712,784,
641,757,400,986,858,379,705,037,735,817,851,914,370,536,115,899,632,930,915,
967,516,450,457,623,410,240,637,202,874,503,290,982,212,386,884,346,914,952,
625,575,361,857,208,062,247,260,109,349,228,865,298,867,182,779,832,267,133,
175,626,641,229,524,890,049,966,282,176,237,977,254,350,653,825,899,071,631,
769,072,879,220,103,682,351,235,725,830,058,208,023,059,698,055,548,673,670,
653,489,571,082,515,083,780,046,643,152,659,076,702,138,646,279,999,510,865,
941,239,562,173,019,253,141,032,090,809,178,671,735,739,453,659,038,998,625,
550,850,595,452,859,266,732,544,122,891,369,448,823,182,986,129,400,742,804,
020,137,771,797,133,578,990,178,059,828,512,408,097,874,969,139,083,460,528,
059,361,195,017,553,027,666,564,278,984,975,642,214,245,344,872,729,100,534,
810,305,816,379,743,889,170,708,504,587,314,324,232,738,373,456,435,475,169,
357,465,986,596,321,681,048,363,277,925,140,640,989,406,958,411,994,307,212,
156,832,819,386,053,674,056,536,919,836,159,650,278,762,611,820,691,707,893,
448,466,424,866,370,048,821,170,211,269,394,329,860,315,543,437,812,390,535,
946,218,765,874,559,992,342,465,287,185,487,683,055,181,410,669,180,359,697,
215,966,286,888,655,114,172,553,412,727,911,150,941,508,992,846,120,062,291,
270,570,172,989,551,382,337,595,758,597,445,407,947,363,661,319,707,319,322,
452,810,845,414,957,003,943,086,736,367,168,293,749,367,458,519,711,747,731,
955,234,377,445,822,986,630,548,713,390,984,301,144,604,722,751,296,691,874,
213,844,495,553,110,601,719,027,518,294,422,055,908,200,605,952,172,028,936,
451,007,090,454,932,117,046,570,583,584,126,841,430,348,600,257,516,069,395,
382,523,693,925,288,881,396,035,736,925,831,200,934,284,961,817,625,012,268,
884,843,334,118,238,547,651,579,229,340,777,397,025,187,929,100,172,492,425,
991,817,684,788,568,418,394,640,581,317,495,236,507,178,610,183,585,657,295,
881,863,738,124,978,355,962,511,669,752,226,945,199,800,989,893,343,588,308,
469,016,479,370,125,104,296,775,433,917,395,619,542,216,282,247,762,436,513,
843,912,857,121,887,889,059,085,077,402,331,419,613,846,591,010,744,185,748,
641,425,261,125,828,310,784,317,108,614,287,757,195,795,423,900,175,138,503,
083,526,825,442,951,307,185,416,003,899,435,517,190,067,944,912,179,274,335,
948,783,346,318,289,551,511,206,980,578,816,397,699,911,012,677,834,980,666,
212,641,100,864,176,147,601,596,224,864,584,642,472,775,994,758,620,547,881,
503,861,176,940,650,571,507,943,887,696,779,731,881,767,338,989,232,457,837,
392,211,334,193,004,794,522,627,068,975,325,358,259,284,005,573,198,864,954,
618,531,537,362,797,957,478,533,762,063,284,895,793,045,299,371,709,177,087,
257,513,618,943,068,801,126,854,229,478,461,340,752,801,431,008,228,351,693,
445,243,572,739,923,197,647,246,595,567,454,694,280,453,326,536,079,192,016,
778,694,074,541,808,352,816,080,222,199,216,733,179,690,246,053,490,306,191,
078,466,526,210,789,362,455,424,410,356,684,979,944,917,933,309,309,268,702,
128,422,539,520,886,983,741,768,712,102,784,896,379,022,593,903,371,933,471,
693,802,039,271,804,371,127,640,097,630,546,690,972,888,110,408,826,144,986,
028,388,804,391,117,608,207,771,964,633,370,734,466,915,787,589,974,079,397,
543,411,058,844,413,162,277,648,080,432,051,167,191,300,504,700,184,360,866,
626,078,512,228,862,360,944,224,917,836,109,990,179,942,831,868,615,447,670,
281,956,133,911,638,262,123,007,772,907,689,508,706,565,022,211,772,183,671,
764,287,464,944,793,674,655,263,113,122,091,553,942,026,545,060,642,423,279,
349,575,687,368,334,084,624,535,974,586,587,447,012,298,585,349,640,142,977,
871,466,839,235,866,157,615,297,217,630,299,808,931,186,982,495,216,723,740,
276,139,398,461,607,939,687,111,897,462,345,138,506,027,711,106,311,457,037,
888,001,283,533,949,014,436,103,327,098,914,250,531,266,129,794,207,220,737,
691,023,537,461,928,570,944,913,424,445,842,850,694,239,288,953,084,200,096,
912,080,161,039,840,896,426,757,464,036,269,808,930,953,040,239,892,277,825,
424,339,491,240,695,513,815,290,968,188,888,528,002,343,095,964,691,697,161,
191,837,857,706,944,170,417,786,294,548,167,116,610,923,279,085,518,875,475,
213,742,922,107,774,835,551,431,150,540,282,912,161,191,526,304,498,384,338,
933,842,728,525,649,775,466,558,426,424,977,884,036,002,616,971,052,294,240,
129,548,575,649,071,734,273,737,824,604,476,887,611,402,166,102,470,067,892,
085,252,710,071,819,930,934,761,498,403,714,777,491,485,639,664,833,651,464,
842,614,868,799,538,767,725,261,873,220,527,263,197,602,835,926,884,643,248,
526,943,557,075,193,414,331,233,813,369,749,144,729,486,068,572,851,295,224,
102,676,503,188,577,660,453,097,047,269,430,816,225,902,981,377,969,009,492,
689,339,215,313,192,037,936,671,452,816,841,873,308,448,911,738,833,809,059,
084,651,753,790,891,016,553,462,717,479,338,645,775,155,603,987,752,929,071,
227,063,413,801,809,469,401,928,901,843,037,753,949,316,361,911,101,845,162,
890,879,626,221,567,331,143,829,343,025,911,849,933,125,399,847,994,804,539,
572,218,220,414,830,053,689,301,040,042,773,447,585,748,924,812,625,863,047,
654,475,717,148,225,676,639,956,192,535,853,928,001,901,495,432,763,236,539,
243,317,283,506,679,780,196,572,840,006,748,334,268,445,648,201,253,478,505,
569,150,196,432,327,161,475,631,214,941,198,355,273,717,110,789,086,945,186,
268,946,851,100,448,972,593,959,726,350,096,456,008,941,170,454,254,571,615,
044,831,032,302,352,383,507,382,529,623,562,308,740,821,855,108,781,545,114,
191,237,498,076,359,879,091,395,375,961,595,475,656,363,778,257,177,095,662,
807,310,267,185,313,561,199,837,525,522,482,075,632,456,911,671,252,741,492,
615,624,752,705,639,916,189,066,876,956,297,602,532,344,263,579,869,246,306,
566,551,755,165,304,085,231,747,045,728,439,049,625,401,587,790,842,088,648,
253,757,714,747,799,010,658,478,857,982,248,491,822,924,236,342,196,452,006,
478,151,124,722,265,745,039,237,681,979,316,086,684,421,559,950,443,942,650,
668,421,079,582,937,609,137,443,240,693,102,259,002,125,032,930,520,909,340,
832,447,157,639,185,489,432,035,299,482,004,096,859,835,749,329,396,204,916,
073,507,698,081,011,101,772,953,975,465,241,946,204,639,533,693,406,444,998,
360,824,927,063,860,767,264,246,857,243,241,472,428,847,555,632,422,783,269,
012,547,082,444,837,799,237,009,735,145,900,992,946,134,787,549,440,044,192,
986,231,515,638,298,543,093,956,332,656,694,737,527,061,841,224,813,161,615,
960,405,094,198,749,932,796,684,812,252,615,670,024,829,291,248,366,189,820,
778,211,645,608,938,969,342,303,534,466,274,693,099,651,590,642,994,339,539,
251,080,395,356,420,800,047,462,665,596,716,966,585,990,426,714,167,873,004,
625,562,117,355,944,278,521,814,445,098,966,493,600,274,636,817,671,092,166,
545,155,819,112,459,829,024,040,451,706,239,359,176,881,245,083,485,169,509,
587,912,036,194,546,492,386,701,722,495,616,837,663,402,471,225,394,994,420,
890,254,354,828,606,696,135,817,985,982,042,141,075,374,943,321,362,047,347,
237,696,333,642,379,193,023,428,918,201,181,735,812,688,196,995,582,566,284,
140,774,198,993,932,849,270,442,079,470,015,160,084,830,031,419,521,580,170,
915,022,593,990,632,217,409,469,939,031,063,523,199,779,613,740,889,257,986,
822,928,499,787,993,895,149,607,730,977,197,346,460,465,237,220,723,908,096,
242,571,806,232,558,509,756,496,663,583,062,117,247,325,673,609,604,698,459,
304,061,033,543,792,130,521,802,738,113,144,622,891,349,281,604,518,862,104,
749,540,401,078,942,280,214,431,493,279,721,329,438,813,233,485,417,638,068,
007,196,687,235,700,800,720,986,618,138,803,948,392,789,665,741,963,682,065,
119,514,839,042,127,249,859,832,904,361,900,282,905,056,097,372,246,838,473,
968,381,195,616,720,093,360,184,859,991,180,667,662,284,327,048,697,587,367,
928,237,529,358,080,374,995,020,833,780,595,223,023,890,988,131,488,588,454,
676,979,852,011,466,803,226,725,199,435,587,125,421,168,297,308,392,472,878,
236,947,413,474,658,916,308,141,391,483,222,398,284,373,199,524,719,250,082,
106,480,891,568,910,775,349,211,323,709,990,284,686,079,656,571,618,248,142,
016,998,490,484,571,358,737,821,286,152,579,656,660,128,015,186,636,451,572,
933,879,551,019,891,640,319,188,312,785,638,315,750,372,328,828,422,946,362,
493,180,980,967,933,609,372,740,667,233,102,745,543,697,431,906,876,170,785,
497,379,033,823,726,060,542,172,496,345,358,574,680,613,283,574,835,860,471,
911,548,861,383,886,177,212,723,443,615,504,932,162,363,965,315,852,808,666,
859,199,420,041,866,543,392,977,560,623,932,957,103,044,548,930,564,449,131,
506,326,848,445,826,034,836,229,980,667,815,615,778,338,909,699,858,573,616,
985,815,184,778,893,528,953,575,351,578,574,253,743,845,843,736,205,046,593,
083,031,006,535,843,922,973,997,853,088,586,355,179,868,738,089,265,206,504,
763,735,573,909,911,735,961,695,497,011,450,193,454,445,832,089,733,089,994,
432,195,921,110,451,985,620,231,422,089,170,650,332,987,372,684,885,513,757,
888,956,045,275,189,678,329,320,160,519,781,002,869,783,319,541,177,471,242,
235,872,637,421,487,879,389,047,169,125,066,276,626,548,706,028,756,020,983,
908,126,479,075,708,551,905,941,293,850,979,189,637,279,606,802,177,507,274,
452,898,508,473,738,088,884,847,622,054,875,830,968,086,762,288,403,061,194,
872,983,869,753,277,444,449,189,734,290,265,796,022,043,012,705,095,529,891,
448,279,207,180,067,284,513,805,423,933,229,754,862,594,372,171,217,024,171,
341,942,460,237,421,415,464,832,085,521,058,877,254,428,057,146,418,230,024,
570,317,643,899,814,654,094,979,694,462,413,619,538,652,974,522,265,250,545,
579,105,189,264,402,816,846,136,960,071,998,516,706,833,651,265,735,120,492,
321,512,928,397,460,925,771,675,325,912,190,747,490,094,496,828,297,932,444,
930,856,752,246,192,850,425,291,444,891,862,067,017,068,458,213,977,128,184,
313,275,698,290,900,122,026,543,388,712,138,344,491,338,765,010,706,916,623,
532,950,878,815,826,653,462,323,010,822,126,590,936,200,396,104,990,677,229,
324,003,505,552,438,665,054,775,297,630,081,146,425,823,438,038,219,765,254,
505,931,965,991,798,538,916,084,533,321,076,203,224,207,470,948,856,699,869,
146,506,776,417,105,137,358,530,538,984,855,615,971,042,054,489,216,850,537,
844,902,174,714,475,087,245,817,265,385,976,961,796,917,962,036,419,271,422,
468,989,160,405,610,387,958,853,279,708,449,673,758,309,673,036,072,117,240,
026,938,164,471,351,143,392,992,109,311,246,720,216,553,883,149,120,591,298,
096,676,253,704,877,081,898,811,087,628,332,208,501,218,483,091,644,354,385,
528,749,365,831,911,024,297,352,024,767,493,981,422,535,455,305,205,310,067,
718,859,059,159,056,077,642,918,740,040,462,063,370,751,772,063,223,533,305,
463,620,660,678,474,537,757,089,469,227,441,651,618,839,770,744,576,582,049,
875,741,479,353,835,681,577,593,994,846,818,864,955,998,098,724,487,637,639,
974,872,030,569,346,706,555,934,033,686,902,350,674,139,122,297,593,868,576,
427,552,331,544,146,303,219,944,536,124,648,825,065,686,153,220,611,847,011,
875,335,527,598,619,650,655,257,475,517,334,637,616,784,738,557,790,268,612,
686,299,283,094,575,075,536,276,123,459,393,746,194,132,231,948,901,625,866,
322,690,381,208,239,748,519,194,323,478,601,155,689,998,563,955,831,931,116,
816,876,771,686,568,029,926,353,020,487,248,656,213,391,951,202,096,446,128,
956,029,585,111,916,885,472,523,812,745,389,753,189,143,362,987,089,906,546,
891,299,238,459,156,640,644,319,871,565,031,032,952,984,940,239,801,336,895,
429,823,820,813,847,559,190,357,326,277,373,552,992,530,595,275,593,749,720,
614,143,895,152,763,879,086,414,606,952,691,186,897,209,567,851,806,481,747,
408,499,887,471,777,533,195,148,305,869,743,749,318,561,644,951,107,607,729,
619,131,220,435,311,137,362,954,625,698,873,514,972,764,940,992,098,214,818,
614,356,060,903,899,277,396,585,973,284,428,923,573,507,072,345,844,330,408,
109,061,866,554,973,201,299,035,094,308,187,009,609,496,233,434,136,718,825,
090,534,247,657,110,414,641,480,241,265,407,156,979,618,534,359,584,940,043,
441,764,722,965,076,089,855,976,967,047,030,771,266,746,520,866,301,779,529,
456,919,646,614,879,410,859,003,431,772,452,868,293,582,349,545,508,279,687,
027,089,921,514,862,703,072,529,289,104,826,191,719,043,237,097,777,464,435,
224,279,104,141,023,604,652,089,890,999,328,175,571,956,164,658,364,745,872,
059,069,669,087,911,347,194,036,608,304,618,602,962,970,708,490,760,912,005,
368,175,184,218,754,885,903,276,313,955,724,002,552,670,098,926,153,956,277,
043,568,185,292,783,338,144,205,557,974,415,250,646,273,456,351,642,162,506,
982,854,652,714,619,417,575,785,595,660,141,388,100,626,074,577,616,160,375,
749,041,606,327,656,287,228,943,807,264,878,630,721,122,040,733,611,969,960,
040,833,759,638,383,766,149,132,349,576,185,165,788,802,018,626,990,533,121,
580,254,690,510,459,882,441,759,249,770,878,067,606,633,890,391,439,271,361,
568,357,963,504,667,436,877,274,266,286,035,668,938,800,667,879,726,631,291,
401,500,569,151,685,525,351,405,929,518,231,391,133,284,398,829,385,152,576,
055,867,060,539,271,704,975,025,498,380,795,621,786,044,387,858,578,683,632,
335,392,701,993,559,510,908,107,896,443,259,612,658,262,100,596,961,297,434,
848,894,029,494,184,019,640,596,438,650,069,272,351,204,168,901,737,226,439,
365,311,334,416,053,929,749,593,189,337,161,036,506,725,932,554,069,149,155,
262,851,281,116,348,600,379,208,807,736,656,080,184,511,073,147,500,810,301,
295,983,648,822,982,832,862,399,296,881,376,095,253,222,759,871,676,385,784,
251,788,438,748,883,591,852,208,731,316,107,530,185,246,515,680,825,813,604,
832,762,856,675,898,646,285,210,452,591,718,471,104,032,882,966,466,170,238,
560,034,638,654,046,529,467,674,290,629,017,099,481,314,077,655,963,190,816,
030,829,231,554,464,142,584,747,147,931,513,404,952,647,785,631,960,252,855,
626,553,607,307,752,404,177,733,134,353,822,187,032,011,548,665,332,748,459,
567,464,491,481,005,029,039,973,148,933,386,919,162,806,849,674,563,868,920,
684,167,811,292,587,288,851,252,459,222,849,420,637,850,443,724,253,649,152,
843,407,241,108,311,516,624,262,288,195,040,335,200,183,158,860,428,814,242,
375,064,432,864,739,615,145,557,162,038,955,013,909,892,411,381,162,787,034,
156,173,308,808,995,089,194,642,515,117,925,004,358,504,410,269,237,249,755,
473,485,914,509,412,208,107,470,791,251,232,028,761,458,631,039,935,407,303,
916,215,035,860,343,748,199,539,891,048,623,490,165,107,047,962,733,803,537,
875,059,336,481,325,175,370,373,671,112,484,785,242,116,842,070,144,550,754,
431,119,657,843,648,173,891,810,849,057,348,556,744,498,216,421,518,550,116,
867,996,236,508,962,595,149,810,471,241,892,459,153,225,602,401,838,832,476,
030,719,113,775,499,435,099,447,845,216,470,542,817,742,611,128,401,672,075,
689,032,918,566,808,825,123,567,713,281,522,506,090,746,193,386,381,709,317,
614,845,924,306,989,827,182,947,153,235,717,118,812,004,087,210,304,157,728,
520,704,897,217,819,926,419,341,630,911,113,878,928,464,882,910,057,202,197,
975,502,862,356,071,126,104,780,435,209,520,122,137,471,011,888,808,548,840,
650,652,140,013,553,209,376,414,551,272,063,714,003,331,662,652,765,864,317,
484,243,384,833,879,734,491,694,551,828,427,569,775,218,267,064,754,406,339,
373,935,046,943,322,128,480,400,731,099,605,837,838,256,249,048,698,249,830,
891,012,291,925,022,796,972,172,128,090,385,406,978,338,392,785,277,935,091,
092,203,896,106,992,162,922,322,548,326,719,093,260,205,318,713,264,873,207,
972,347,621,692,597,344,900,308,835,649,002,910,908,978,733,918,709,227,808,
268,802,586,290,833,701,988,555,902,454,956,095,379,677,791,295,479,662,790,
951,552,724,918,109,844,351,578,604,086,630,048,171,026,630,622,801,693,013,
009,204,381,236,457,536,696,924,064,987,276,346,077,829,680,005,257,819,090,
385,641,286,708,424,036,129,219,613,453,469,703,194,570,295,472,943,912,219,
500,272,528,198,024,021,381,609,543,715,867,226,725,184,054,757,513,699,603,
762,682,120,892,895,135,742,953,457,737,868,612,037,045,355,565,996,287,273,
661,390,477,617,645,166,064,999,221,286,249,183,328,968,800,421,324,948,010,
007,740,842,159,514,766,399,420,836,415,375,106,192,799,805,270,588,988,269,
145,557,417,972,500,176,365,585,028,716,854,934,012,101,368,246,847,572,254,
687,175,623,678,816,338,387,773,591,956,917,315,879,453,837,086,556,250,361,
299,542,524,400,717,651,119,512,386,072,443,806,522,397,310,368,759,597,560,
621,186,175,019,552,539,643,840,424,014,080,543,888,550,179,786,143,699,839,
102,702,958,162,366,417,919,377,537,414,286,947,928,597,684,213,088,439,905,
955,877,214,151,585,245,224,811,197,598,486,838,319,054,839,196,249,282,379,
195,729,051,344,596,120,268,432,298,993,703,100,760,798,500,798,759,455,616,
051,277,098,500,010,975,194,307,392,205,677,469,599,446,568,830,337,156,875,
350,416,967,949,774,067,742,741,818,317,904,573,906,907,816,200,594,874,989,
398,704,554,512,709,646,147,821,744,487,981,572,135,011,871,125,968,759,713,
861,304,482,858,585,097,841,161,346,332,589,123,578,496,961,663,772,573,773,
137,493,649,866,951,257,843,482,063,147,623,855,457,101,702,072,578,014,850,
944,716,670,458,901,837,263,898,834,670,507,419,777,277,332,222,298,922,996,
325,630,302,348,388,134,248,675,456,732,296,522,787,279,408,718,329,046,192,
035,964,548,575,703,392,175,994,549,666,160,584,160,585,414,074,333,452,162,
295,827,738,149,156,037,936,675,423,334,788,743,957,683,475,794,829,484,193,
649,151,026,300,619,276,046,957,327,360,828,915,942,778,760,562,908,604,616,
223,428,656,862,568,666,056,826,091,705,474,364,126,302,062,039,684,555,115,
950,486,693,370,567,108,904,275,331,451,628,541,882,818,499,017,737,255,478,
956,887,869,548,683,170,831,005,587,769,997,175,807,118,939,108,202,340,166,
415,234,274,774,272,993,907,919,401,830,638,056,326,289,024,341,348,882,133,
531,299,015,622,257,177,795,872,113,232,033,132,992,111,720,707,334,449,265,
389,232,018,798,477,359,025,982,558,473,877,616,565,650,681,297,964,397,139,
266,613,279,837,290,257,660,001,438,974,503,456,204,354,544,030,365,833,596,
591,572,406,418,360,258,389,500,053,031,865,392,456,423,545,158,993,905,873,
430,670,090,411,039,409,987,589,260,646,962,236,083,717,876,468,946,419,435,
838,802,241,125,845,138,409,262,574,357,982,611,761,757,817,384,319,771,230,
815,808,294,753,723,719,104,171,305,033,318,809,093,217,710,375,763,430,482,
457,249,660,546,577,891,967,320,179,727,996,181,811,158,511,241,858,271,622,
683,229,727,551,150,354,478,257,235,244,427,745,471,429,211,045,211,646,778,
902,117,249,819,552,583,656,880,833,888,833,734,112,627,199,875,812,888,694,
023,694,625,040,074,154,226,118,849,200,574,436,174,995,860,144,410,634,455,
972,284,269,166,431,432,825,196,840,529,658,417,575,517,177,767,019,210,349,
870,299,776,481,947,746,597,995,915,756,966,677,888,604,865,691,250,134,951,
435,592,905,797,480,222,591,111,052,201,115,080,952,367,546,625,757,878,019,
637,843,279,678,879,625,067,619,367,368,780,329,422,535,372,857,394,223,526,
907,194,755,457,881,386,039,058,379,861,872,272,765,626,301,925,015,908,225,
763,595,504,764,319,461,054,978,088,729,255,329,356,420,293,354,935,639,606,
097,752,996,972,315,944,618,767,400,099,802,341,521,218,270,809,486,051,708,
220,175,567,626,085,059,934,260,754,934,039,747,979,616,483,774,997,079,544,
122,242,953,867,786,492,147,866,197,272,047,783,646,142,478,070,661,821,976,
063,238,926,715,277,569,579,940,181,706,220,427,461,183,474,540,045,952,991,
340,370,173,256,690,986,566,420,278,205,393,724,011,051,380,162,993,674,710,
030,105,876,278,799,240,797,940,167,728,886,248,342,756,139,063,951,885,008,
308,501,380,465,051,907,048,279,271,940,310,413,665,013,620,560,531,227,308,
685,216,950,064,054,266,100,925,614,205,067,361,568,600,494,746,513,046,847,
809,869,132,468,847,702,902,321,928,287,947,175,556,554,324,858,963,363,637,
366,571,067,276,151,623,735,693,239,120,221,852,538,287,487,401,811,785,854,
859,963,709,237,549,899,500,906,986,885,670,564,482,934,011,398,478,297,782,
239,366,534,840,107,936,053,177,385,054,909,212,990,137,983,655,795,433,414,
398,472,857,959,575,997,113,605,910,046,471,528,284,540,846,276,450,896,038,
780,009,311,225,141,874,829,097,487,251,036,279,588,336,413,286,059,509,063,
125,470,605,743,149,464,196,797,195,201,082,491,340,732,252,765,903,895,967,
974,448,246,973,372,658,358,446,405,919,446,470,210,856,981,397,247,927,469,
320,072,124,830,842,469,740,247,381,514,814,857,707,124,521,381,474,636,543,
655,439,274,178,677,526,152,040,373,009,328,381,163,044,246,190,235,523,564,
920,612,334,096,202,955,624,949,167,415,030,261,371,591,015,134,247,894,433,
319,882,282,577,794,218,375,819,596,043,836,826,032,939,131,599,052,117,418,
909,019,764,472,548,526,482,525,701,994,957,381,784,680,371,398,056,915,269,
028,790,675,156,428,653,680,346,039,011,296,150,524,218,758,477,605,720,369,
403,747,804,435,635,189,220,877,272,235,048,328,905,798,077,528,556,473,220,
625,550,077,210,336,774,907,130,803,259,914,986,495,773,284,456,484,610,244,
127,630,977,207,122,003,868,514,716,701,257,006,102,015,474,267,508,317,869,
344,989,462,695,422,287,441,958,778,741,147,370,162,595,072,039,606,421,343,
399,149,450,520,062,711,570,284,619,917,890,030,973,563,476,460,791,914,503,
686,799,755,460,653,270,574,196,489,025,174,888,141,859,887,481,688,137,323,
591,199,447,978,423,219,627,323,883,858,579,660,425,469,062,145,787,024,135,
849,715,262,813,034,392,074,952,665,809,107,137,538,189,136,404,559,659,062,
119,224,248,566,113,998,098,593,978,057,886,085,663,650,713,265,500,363,732,
638,974,614,127,664,927,037,880,923,666,683,290,663,800,857,211,327,063,137,
671,352,942,796,057,230,295,431,747,100,875,350,719,588,051,626,900,685,227,
297,266,460,894,848,025,834,599,704,791,470,970,480,065,103,590,176,020,685,
317,054,371,142,373,459,745,185,894,847,354,002,888,784,956,346,913,603,324,
395,069,541,923,184,986,782,733,331,305,504,159,272,972,401,628,511,144,133,
462,961,374,311,007,927,581,286,723,395,252,737,874,296,275,617,594,916,003,
583,110,822,547,675,313,021,043,491,868,539,584,361,389,152,647,128,855,573,
375,320,555,333,849,920,915,925,157,918,324,424,366,332,427,131,761,350,214,
941,825,891,993,715,506,413,897,127,266,161,907,450,624,447,004,025,667,784,
056,256,936,295,516,631,175,770,427,291,537,811,304,960,602,375,923,569,263,
491,186,359,799,093,393,726,728,499,016,362,773,332,061,940,797,214,689,448,
669,368,727,561,694,235,684,938,244,673,725,215,395,367,040,235,492,519,863,
937,067,766,837,864,681,277,340,996,502,694,586,983,731,972,912,722,978,807,
342,474,637,135,518,405,809,805,258,038,314,383,217,506,657,864,580,196,034,
461,074,274,398,663,976,442,650,467,114,888,263,407,278,892,286,606,112,205,
682,670,518,954,233,959,401,376,747,564,182,216,365,629,551,414,525,664,447,
223,352,565,195,782,137,266,300,123,816,013,194,986,030,266,070,148,923,782,
330,171,419,765,006,222,256,299,572,364,839,147,593,774,917,031,349,987,214,
883,053,598,780,608,454,223,233,617,643,162,493,003,843,871,112,636,187,565,
933,339,473,585,130,689,129,572,324,997,756,443,797,894,720,850,639,107,612,
861,073,149,672,409,212,158,912,576,511,318,264,696,790,548,196,563,084,871,
638,675,391,308,845,461,797,180,457,729,274,819,190,991,681,891,832,345,176,
601,952,095,482,331,708,061,319,380,230,152,050,095,897,747,193,606,157,291,
400,794,990,496,520,603,337,022,305,504,678,954,770,593,540,627,652,939,207,
085,062,714,943,286,362,782,959,248,384,061,872,048,866,465,619,180,811,095,
804,013,876,631,132,144,492,391,991,644,121,191,784,279,269,651,589,298,490,
671,417,702,449,356,784,860,922,395,114,667,166,100,050,111,345,750,812,425,
572,069,086,416,112,849,601,013,888,860,558,518,798,200,766,096,749,481,213,
855,286,666,283,476,952,808,940,745,931,112,734,549,170,868,552,447,753,687,
127,092,638,140,644,638,539,271,316,641,853,779,280,577,078,819,469,357,527,
008,538,553,975,511,324,339,684,453,383,985,092,871,656,589,677,317,893,046,
054,721,529,121,628,020,216,896,432,200,718,486,259,575,650,238,738,668,587,
647,022,396,760,636,498,973,208,113,339,819,107,231,102,361,087,142,745,513,
488,771,924,763,484,711,534,467,546,618,087,197,698,019,780,645,343,364,325,
490,089,962,244,719,423,254,782,671,455,965,576,740,062,809,384,500,210,456,
920,650,574,706,323,371,115,533,848,942,359,019,577,655,978,310,040,695,964,
739,445,788,048,620,607,897,679,187,938,597,282,966,944,509,911,278,866,081,
382,779,120,796,131,968,431,324,749,021,378,331,683,219,774,959,804,330,695,
633,278,475,892,978,354,850,929,571,359,378,022,210,382,372,626,485,799,249,
941,841,333,619,521,962,059,223,379,238,668,936,597,523,337,900,505,729,865,
583,069,146,689,041,418,341,424,822,233,436,549,474,296,982,928,400,436,844,
091,916,902,245,644,725,270,418,886,713,370,774,302,668,820,022,068,220,577,
356,312,886,608,964,396,178,232,426,444,841,241,960,833,171,854,126,948,232,
005,296,350,319,772,261,744,088,016,732,296,594,087,522,770,301,532,719,646,
874,899,654,037,547,339,421,129,150,863,815,439,226,611,086,279,655,282,808,
948,824,520,309,968,145,161,896,834,877,298,133,810,453,233,972,127,221,396,
487,208,572,652,610,342,118,738,135,501,659,876,078,062,317,973,680,940,476,
966,445,436,480,242,201,736,429,997,897,066,628,232,850,192,014,723,053,973,
980,149,529,515,020,256,700,921,947,803,203,256,564,330,783,786,131,328,747,
369,632,011,453,751,664,685,681,817,860,946,005,248,562,230,907,093,512,538,
583,480,050,487,407,423,705,705,846,019,952,001,888,761,138,788,972,399,131,
012,570,712,062,074,008,434,321,747,273,855,426,547,568,954,588,482,487,546,
540,802,692,102,718,750,657,278,069,586,364,170,530,818,704,876,199,333,629,
985,865,129,425,348,783,373,660,107,706,045,030,702,407,172,480,321,271,041,
857,505,532,692,062,071,069,802,680,175,787,602,856,939,003,284,651,056,558,
618,320,387,792,101,977,613,511,660,692,452,946,302,664,507,031,641,152,160,
114,076,469,136,570,085,988,110,868,683,451,190,482,416,215,922,440,433,556,
934,240,149,522,289,069,154,628,455,294,874,973,591,195,279,052,249,412,617,
512,686,085,200,534,700,356,813,496,654,422,246,586,685,339,212,414,639,749,
626,113,332,722,650,778,071,031,110,460,447,166,172,737,448,276,614,704,065,
237,681,824,689,352,472,864,022,016,090,602,465,998,380,495,951,001,126,073,
830,109,290,984,473,533,137,070,029,183,537,313,647,333,712,593,725,721,481,
038,423,778,538,667,455,752,309,032,961,289,273,741,198,323,670,264,656,410,
089,633,250,966,790,817,645,760,428,027,806,204,374,655,971,826,885,424,600,
082,851,607,623,851,624,401,347,259,485,764,021,876,852,541,122,788,447,500,
109,148,999,565,096,948,768,344,632,930,149,838,474,474,869,994,245,347,970,
084,963,086,919,450,459,710,897,139,972,298,253,594,229,694,658,804,462,463,
004,158,282,922,996,938,244,203,573,931,706,092,700,406,551,480,255,083,055,
123,832,868,116,421,158,069,492,069,560,535,827,160,546,901,844,708,263,638,
691,103,052,585,842,355,240,983,612,240,709,101,491,124,158,271,285,569,572,
913,912,097,767,180,229,352,017,552,254,380,298,767,661,106,022,091,588,180,
371,999,066,259,853,414,607,990,676,408,446,375,234,335,924,907,837,976,909,
039,457,903,315,820,899,189,766,432,879,760,552,754,315,938,324,843,805,115,
733,857,406,714,400,772,252,841,251,683,587,233,523,396,063,470,545,779,203,
551,541,655,221,407,643,398,027,720,285,872,581,175,150,449,490,182,606,063,
940,961,433,244,421,697,990,599,312,363,165,188,329,492,882,048,558,062,343,
686,084,561,373,422,647,300,341,062,537,325,764,466,509,047,029,824,659,799,
235,745,901,919,829,654,016,837,388,627,912,117,944,826,693,427,965,667,091,
940,443,740,955,485,113,160,923,689,313,311,009,619,168,090,894,018,167,674,
506,106,261,910,160,080,868,866,808,640,073,490,432,069,398,581,889,029,758,
340,444,004,901,719,655,146,756,021,798,714,582,632,731,433,918,325,265,348,
680,324,483,471,536,002,651,391,659,997,662,118,871,506,205,817,652,759,304,
403,353,887,199,367,111,237,178,477,642,788,436,889,253,629,734,290,809,167,
423,659,709,973,676,576,503,760,604,589,404,881,023,417,420,591,094,676,085,
021,350,197,015,900,611,328,140,579,359,475,456,778,657,014,922,575,011,621,
917,806,706,104,038,584,831,893,446,399,623,740,762,096,208,454,781,813,677,
675,653,311,230,196,383,662,917,334,187,362,774,267,434,680,203,518,251,349,
301,419,254,863,775,914,687,150,435,090,822,365,136,557,922,377,901,191,496,
629,912,799,713,139,879,930,675,754,400,653,731,718,568,529,792,684,102,949,
604,248,165,348,638,551,344,407,567,707,860,874,636,155,690,326,558,691,624,
260,794,509,957,404,595,002,509,906,243,096,290,663,738,124,264,171,460,300,
445,150,849,123,388,584,846,935,614,375,375,598,055,932,564,248,910,877,906,
401,879,480,578,154,248,641,060,690,500,603,195,296,350,048,405,334,479,499,
993,318,970,102,127,892,865,232,541,462,510,946,926,702,697,743,459,917,669,
838,766,503,395,227,629,890,566,788,756,178,722,759,694,733,454,484,819,324,
797,499,450,690,524,427,612,355,287,328,402,977,338,042,834,525,584,394,346,
751,043,346,005,870,984,585,292,946,656,513,233,955,924,743,029,107,609,392,
379,731,037,708,341,514,714,261,110,615,976,946,753,028,374,328,342,954,847,
097,536,738,439,251,945,572,899,123,565,932,287,719,063,400,662,121,153,521,
547,881,326,882,875,576,910,961,510,996,680,224,086,125,204,091,987,755,391,
118,049,306,800,920,463,976,735,431,711,677,368,943,269,566,503,853,970,604,
662,812,020,119,967,983,944,979,881,157,459,922,882,180,511,590,109,506,818,
203,747,043,938,534,197,961,333,780,364,727,141,795,922,732,480,907,917,622,
001,307,881,388,980,522,505,168,021,748,539,778,869,918,231,935,107,582,122,
734,221,948,414,349,675,965,717,486,224,474,894,842,533,399,285,521,468,532,
841,532,012,755,336,128,113,649,033,546,326,298,592,704,011,727,957,692,318,
437,701,011,218,195,719,392,563,445,206,293,928,155,675,292,187,164,578,840,
965,204,761,948,375,308,663,715,008,446,399,709,709,025,366,864,819,932,035,
627,539,838,238,536,143,522,101,365,587,437,697,089,019,620,551,105,586,691,
859,833,023,964,047,858,158,213,597,664,984,995,670,529,453,419,085,424,015,
390,958,453,442,815,523,432,701,136,586,394,060,902,882,220,004,821,037,043,
417,735,245,204,914,080,250,929,106,905,027,935,149,722,540,175,429,820,874,
756,278,892,644,542,604,961,673,238,456,887,933,340,473,155,323,052,791,747,
630,811,976,558,938,916,055,804,273,599,008,605,469,095,811,192,863,053,440,
523,066,594,986,795,771,505,694,562,462,245,813,891,463,782,129,027,440,219,
814,948,378,906,102,407,691,980,718,620,146,689,396,861,281,870,920,818,981,
044,064,485,883,092,452,420,578,662,060,309,242,078,151,455,837,343,283,046,
636,171,461,090,533,628,756,814,909,556,713,764,272,067,260,739,582,858,845,
409,045,680,099,978,883,934,541,214,501,262,763,019,931,237,931,750,367,702,
148,723,218,464,510,553,438,778,203,711,763,324,980,635,871,883,377,682,911,
106,957,356,796,164,478,383,657,272,935,907,822,508,235,142,050,254,090,848,
137,538,490,454,194,293,763,062,277,838,410,183,183,617,141,863,165,930,186,
146,391,449,825,722,313,318,181,356,809,237,556,987,416,123,403,920,278,434,
099,503,081,347,044,547,340,410,727,508,168,140,335,023,545,436,274,336,377,
850,760,327,934,023,405,956,920,435,764,117,850,060,435,951,423,411,193,310,
724,044,611,308,481,382,678,278,744,819,616,977,042,597,672,308,453,347,629,
416,251,286,703,133,765,198,268,220,227,131,309,743,196,787,945,062,322,422,
925,594,199,144,594,659,761,216,079,475,677,410,984,128,428,559,707,861,904,
284,283,025,651,531,806,293,505,544,785,063,183,291,773,222,201,528,209,163,
796,172,105,044,345,742,222,911,358,717,294,473,337,781,653,360,677,564,429,
217,671,924,805,823,374,107,179,806,705,195,288,309,918,586,453,378,763,494,
373,891,756,826,445,651,526,885,286,156,029,088,613,022,564,806,414,507,257,
266,709,082,164,888,313,830,252,491,909,737,271,083,302,556,628,464,983,622,
190,410,435,096,059,848,435,305,623,128,722,716,818,928,071,955,466,538,872,
235,086,708,224,233,937,064,324,235,520,031,719,561,717,762,314,631,850,463,
445,596,699,751,472,656,334,656,194,155,221,345,865,333,586,360,535,328,188,
881,099,334,784,702,361,564,780,826,909,950,488,907,997,469,185,506,513,973,
515,455,038,319,602,902,553,736,284,775,472,178,031,305,130,413,745,672,587,
159,353,181,677,507,179,461,080,302,889,126,734,559,723,478,586,506,812,964,
990,748,032,299,823,527,338,184,947,681,394,256,768,079,587,053,480,502,868,
279,534,949,678,057,693,924,423,691,874,158,639,771,604,736,938,376,830,180,
926,674,922,470,195,041,956,046,823,080,432,597,758,328,392,571,354,981,667,
005,495,806,034,767,848,837,263,575,218,879,866,791,328,991,600,475,727,718,
608,411,849,231,615,029,964,227,646,237,298,881,279,979,159,380,562,896,226,
923,419,148,414,178,923,908,751,969,967,870,906,273,642,906,444,773,111,695,
340,464,964,297,865,991,848,349,354,942,389,169,879,845,158,338,393,479,707,
107,676,516,548,256,138,215,191,295,529,628,712,694,680,991,178,949,154,290,
136,457,700,611,745,307,806,624,730,547,427,861,084,552,733,852,605,893,966,
008,017,961,305,592,983,092,856,984,028,642,786,543,817,018,840,745,377,773,
299,071,336,210,796,251,917,490,399,959,093,098,398,455,449,476,683,133,882,
061,996,597,383,279,029,862,905,919,598,794,301,643,258,099,971,967,472,059,
113,942,456,106,553,621,349,633,136,196,342,572,163,838,730,987,739,840,540,
633,022,342,857,203,538,305,091,486,029,890,263,051,598,430,110,281,495,601,
345,801,697,472,085,190,807,182,254,618,843,177,266,522,832,255,708,562,023,
434,853,813,625,854,958,554,534,559,188,335,500,661,562,649,057,318,766,966,
260,010,963,148,192,464,313,072,144,616,260,319,963,811,797,221,265,100,982,
571,579,212,552,060,638,437,314,027,406,863,703,701,581,525,069,004,579,649,
411,401,070,647,704,798,918,630,041,876,310,420,563,423,477,973,935,127,139,
431,072,051,689,159,512,638,832,678,667,794,648,546,561,987,453,359,849,784,
217,939,874,464,946,371,044,499,885,988,969,433,177,929,136,628,685,652,934,
677,144,190,967,292,647,208,033,023,784,243,775,155,445,654,657,108,456,288,
520,842,984,831,475,355,774,652,555,667,229,084,434,737,364,363,211,218,503,
896,164,325,592,198,229,957,985,434,548,242,030,064,521,980,103,582,578,921,
214,193,378,132,748,712,615,575,445,698,752,225,521,374,556,626,208,271,619,
516,257,011,040,514,798,704,120,984,599,327,025,987,405,145,008,712,496,463,
157,644,474,398,666,856,224,566,621,863,528,398,874,249,702,696,528,810,843,
309,699,603,169,846,288,591,515,753,530,227,447,697,484,554,249,951,187,108,
181,427,902,941,217,868,750,479,538,169,582,423,270,962,528,858,908,494,707,
647,502,479,361,777,075,292,184,876,200,909,739,902,943,700,836,300,551,660,
445,899,625,891,270,687,673,376,814,513,788,256,192,703,988,561,545,505,676,
001,871,780,213,760,989,975,756,329,076,737,952,959,896,682,286,180,312,094,
245,316,061,585,752,984,349,845,295,671,059,398,249,776,408,985,650,081,478,
802,522,616,605,097,291,622,919,117,882,082,616,023,502,371,139,419,055,178,
024,066,841,642,205,915,317,098,429,009,816,024,194,154,420,981,156,756,812,
046,915,892,784,271,625,825,014,333,068,832,895,706,953,251,190,564,121,251,
528,194,007,285,772,312,276,158,537,673,204,703,490,040,651,930,999,681,904,
082,384,315,862,606,834,740,874,681,718,821,510,481,471,740,100,461,566,670,
486,693,651,338,416,921,798,270,995,464,551,702,084,651,550,607,079,500,206,
898,256,382,395,949,988,890,055,191,304,733,668,226,660,172,750,641,630,535,
411,009,024,115,152,394,998,346,324,880,152,989,407,360,634,014,685,903,608,
951,138,281,682,129,482,863,716,185,782,483,627,691,361,841,331,159,349,025,
451,201,210,506,019,048,374,443,843,159,817,022,527,352,736,079,718,788,399,
095,292,299,514,448,464,864,529,837,892,446,516,684,512,262,363,319,901,984,
172,571,153,864,180,929,910,444,269,050,871,311,313,816,955,566,297,727,085,
652,302,041,176,322,790,790,262,223,937,108,837,505,268,945,280,223,194,222,
827,921,841,050,370,738,002,183,313,307,855,392,470,821,959,759,051,283,280,
170,018,347,116,182,494,130,890,874,362,655,207,902,435,279,427,700,307,078,
097,682,930,323,170,763,862,764,797,230,571,867,065,950,099,791,386,909,734,
122,747,805,509,989,397,299,675,977,870,164,051,848,085,110,216,262,323,837,
998,242,850,354,189,366,373,029,697,869,848,559,356,388,651,812,278,923,891,
982,714,304,907,773,899,856,472,203,761,869,651,372,915,875,740,229,064,065,
930,988,502,673,020,667,017,046,150,434,142,996,172,702,051,098,744,957,949,
770,501,304,463,225,660,616,041,635,731,375,203,090,320,521,953,991,040,915,
063,351,131,351,577,077,131,303,533,594,389,858,623,205,130,311,511,295,200,
502,879,945,989,332,311,734,860,978,070,187,163,765,398,328,673,630,572,780,
734,119,529,582,603,887,358,085,998,139,491,853,087,751,128,741,602,940,435,
611,987,987,110,833,464,811,675,397,136,994,387,767,237,875,676,015,099,650,
323,310,895,651,298,061,775,673,879,772,130,079,833,338,072,452,669,949,397,
423,267,732,986,335,675,040,929,610,631,791,845,869,678,723,067,294,024,174,
735,560,320,988,074,044,573,384,953,641,476,687,741,523,090,579,826,018,801,
101,724,606,331,392,284,966,514,840,838,510,060,074,044,603,876,659,973,130,
068,865,554,228,974,924,690,473,514,770,267,026,453,036,631,435,066,320,748,
029,127,105,810,134,853,668,757,222,110,292,890,019,492,048,014,624,350,855,
042,997,165,755,387,703,338,710,784,605,535,938,088,758,323,842,341,750,646,
023,884,483,768,033,074,688,911,087,234,831,413,755,450,765,564,585,117,516,
341,065,247,181,456,211,524,870,287,373,186,558,231,524,982,827,504,975,312,
063,534,741,896,108,264,023,596,177,143,884,437,415,527,011,913,020,938,149,
313,353,257,126,528,897,914,182,576,588,994,165,645,752,391,525,463,092,743,
331,886,536,056,114,647,519,096,212,424,765,565,328,128,514,093,224,889,209,
157,207,647,207,578,102,035,096,840,364,508,982,271,329,527,269,752,487,935,
081,929,341,338,357,376,371,142,466,557,111,209,145,412,302,757,597,924,386,
656,495,977,578,195,616,925,189,680,002,101,539,074,054,857,382,439,073,355,
743,784,940,450,861,630,718,828,800,009,606,549,129,367,561,996,633,965,270,
548,821,670,956,518,129,719,777,868,402,928,657,882,409,913,537,690,072,502,
890,900,597,750,056,718,147,589,062,109,358,874,604,772,460,828,429,809,461,
352,419,652,901,385,591,213,187,124,767,542,027,058,684,241,755,992,606,008,
829,682,155,728,562,673,550,004,200,127,281,954,743,375,551,449,251,374,770,
265,911,508,668,484,940,260,028,271,095,955,872,062,745,853,026,563,177,209,
250,924,271,359,255,175,394,817,253,272,776,994,479,363,223,261,517,858,559,
670,703,280,908,242,737,567,731,594,072,559,128,015,485,464,021,274,717,664,
777,167,006,275,516,981,792,935,856,066,681,110,711,937,271,337,744,339,655,
171,289,577,621,522,404,694,321,491,165,102,199,179,849,340,532,132,788,531,
418,090,784,086,860,015,524,407,665,232,678,631,317,510,163,090,970,841,056,
908,461,990,663,536,134,791,513,668,956,139,238,682,731,849,548,213,754,523,
577,987,962,194,850,547,214,390,950,228,938,603,041,478,218,323,309,242,759,
814,136,017,902,646,671,845,175,743,966,927,477,352,931,666,151,261,531,951,
488,563,776,416,868,692,334,217,024,804,570,030,842,883,754,215,236,747,904,
238,642,306,902,815,116,836,809,875,370,935,283,984,848,794,675,069,219,373,
726,701,411,660,638,574,663,369,875,420,486,621,483,047,875,895,284,673,937,
032,018,512,345,922,899,554,520,730,077,048,763,822,291,941,925,934,229,099,
440,558,515,354,937,732,277,868,289,279,522,178,853,506,452,728,504,009,733,
789,924,656,746,410,736,693,900,666,509,277,729,337,648,206,628,147,553,681,
277,322,735,334,314,505,553,825,997,271,440,683,028,635,590,827,798,329,421,
820,150,298,510,382,727,587,482,114,277,192,893,521,946,691,654,711,427,871,
210,955,101,245,566,161,194,121,581,184,896,548,499,114,235,432,659,217,302,
875,602,354,396,966,560,528,339,753,620,681,693,467,371,675,277,449,116,649,
911,543,684,639,778,461,632,387,569,890,138,811,367,712,077,668,584,941,341,
747,338,121,720,102,654,903,850,321,899,292,883,596,272,740,206,725,447,041,
743,117,080,932,686,539,580,326,254,261,784,209,439,749,671,512,498,637,399,
332,621,481,821,822,700,033,102,959,347,822,255,620,877,133,334,779,228,350,
348,096,002,898,967,861,346,710,772,522,268,413,629,706,297,665,487,473,878,
204,666,217,038,530,572,828,353,559,939,762,486,750,279,516,105,154,153,066,
397,609,788,788,616,680,952,296,566,817,627,128,053,368,071,272,082,211,697,
939,540,634,016,511,283,731,719,034,274,700,056,852,548,967,328,080,307,452,
097,426,313,152,363,967,336,639,185,226,617,527,059,252,576,899,501,211,026,
621,173,121,228,539,305,955,356,604,336,679,206,201,260,873,653,810,617,736,
267,557,845,176,564,286,006,149,902,953,427,308,373,474,157,809,499,783,178,
231,750,651,790,387,184,124,275,009,470,426,527,510,702,873,598,432,157,047,
245,556,553,223,485,864,115,133,815,192,274,250,962,228,281,843,560,106,711,
105,772,203,164,023,826,625,023,095,446,759,724,881,421,280,131,646,091,194,
267,605,039,942,007,873,446,210,652,455,479,625,782,409,784,132,058,675,957,
358,328,144,366,471,843,599,589,398,644,414,557,913,716,597,855,715,305,054,
406,213,909,312,357,928,065,364,983,807,174,998,377,569,038,058,029,205,582,
153,027,741,963,815,028,271,194,695,003,008,144,748,349,888,352,307,575,873,
931,117,219,411,249,400,894,086,599,041,822,470,984,030,713,361,911,651,711,
166,744,582,988,984,655,125,736,696,945,948,480,438,601,031,501,063,239,757,
472,365,456,396,143,874,242,931,395,074,933,655,928,671,741,810,076,807,056,
006,296,498,226,172,049,310,085,569,956,983,415,035,498,111,044,918,701,658,
310,117,659,083,254,057,538,465,910,190,926,793,674,827,056,124,067,120,115,
949,789,688,003,591,780,635,264,905,093,875,011,957,833,380,489,945,558,217,
777,059,414,847,742,214,218,191,335,506,038,274,280,246,206,954,804,941,999,
425,506,463,751,504,828,253,746,803,565,843,133,590,494,000,196,808,097,026,
969,867,574,882,441,335,069,714,533,466,557,942,455,476,003,557,689,620,712,
473,487,216,164,111,866,361,509,375,517,696,081,535,228,549,757,954,923,783,
983,534,340,691,824,987,401,498,671,786,083,845,856,630,941,699,456,940,630,
253,319,851,983,364,290,633,491,366,092,707,825,496,431,263,690,230,270,686,
627,742,590,646,014,099,540,655,676,852,218,524,317,902,853,809,803,450,188,
041,444,478,091,958,079,913,349,084,656,438,569,914,519,476,717,525,538,847,
661,993,670,652,529,528,424,552,304,533,157,752,043,114,353,818,417,378,928,
157,263,546,555,793,295,536,174,762,910,671,378,315,235,744,349,049,728,280,
364,367,360,617,695,981,470,275,517,584,751,155,907,972,156,976,266,420,272,
037,836,736,315,423,121,804,603,585,281,256,658,723,215,927,506,406,693,289,
312,412,772,035,453,548,696,855,284,391,447,288,459,397,749,050,880,040,588,
711,171,465,338,961,863,922,413,120,738,179,702,024,039,301,012,540,786,944,
060,678,430,908,578,854,423,152,154,172,063,117,980,948,615,363,740,538,430,
584,804,923,193,800,779,991,824,411,953,192,285,036,626,475,629,946,139,353,
820,751,377,278,019,000,361,528,999,596,668,212,147,486,978,124,302,998,383,
758,285,184,356,731,395,939,621,082,704,819,424,805,697,555,575,684,142,171,
037,427,645,193,756,555,707,755,424,325,236,660,399,600,792,930,758,163,163,
452,665,501,900,853,296,743,843,074,024,720,659,648,111,665,151,669,862,805,
339,051,379,002,513,294,381,309,122,396,311,545,943,490,648,695,027,808,530,
455,433,475,026,079,386,925,187,776,205,227,338,194,098,468,681,900,267,133,
462,988,358,290,583,607,432,987,873,294,597,053,824,207,030,940,843,942,623,
806,440,732,917,824,966,115,000,618,601,820,469,807,246,496,939,812,890,659,
329,792,404,691,287,355,748,468,914,328,441,684,215,654,500,419,781,537,682,
383,217,757,391,595,905,693,553,462,870,433,985,025,436,246,007,859,806,062,
646,393,351,496,330,284,524,012,658,655,483,147,874,921,069,307,572,453,776,
583,571,857,114,122,290,525,010,730,797,285,514,516,132,804,231,361,068,644,
840,286,086,018,976,234,067,301,337,548,497,629,662,197,735,908,117,679,811,
885,587,413,374,382,908,702,523,775,695,666,314,370,070,641,516,952,196,576,
506,168,265,852,470,719,305,657,617,990,900,442,291,883,794,225,191,193,297,
807,188,213,654,860,185,456,525,370,767,938,614,108,391,499,707,629,081,227,
038,236,255,433,256,680,515,553,475,292,947,494,453,244,261,948,113,027,123,
538,214,289,871,004,193,801,437,466,710,399,768,831,099,344,777,209,088,616,
439,197,715,627,852,748,596,417,713,850,560,293,640,693,105,893,497,627,827,
903,563,638,983,099,044,249,362,870,467,401,258,536,060,020,098,885,116,603,
360,318,252,715,391,601,417,882,810,580,528,528,989,915,121,425,275,184,178,
946,956,511,250,567,738,184,762,086,338,018,462,123,449,778,518,391,451,566,
227,495,571,482,788,543,457,593,869,582,890,298,990,578,820,589,069,647,696,
303,458,028,826,409,735,856,458,747,587,804,352,949,571,544,501,137,387,355,
609,154,450,918,437,997,930,507,247,752,529,444,222,641,054,351,595,967,163,
838,522,227,541,927,010,908,419,107,131,142,521,499,615,601,742,882,475,894,
142,506,002,680,642,710,793,048,091,850,174,038,425,318,992,074,514,035,021,
212,652,085,552,159,828,773,918,157,407,050,826,710,622,718,379,753,444,067,
581,545,230,460,059,991,681,934,853,215,319,021,137,967,764,017,600,194,155,
404,837,126,422,058,118,764,965,613,481,807,686,466,999,465,165,314,522,609,
305,625,834,049,422,660,879,419,560,304,927,873,375,368,813,192,805,007,334,
961,095,138,808,792,087,330,582,148,932,692,068,617,293,401,704,045,892,650,
410,700,882,518,523,984,407,277,087,001,450,190,925,811,136,960,117,169,862,
683,339,427,134,338,566,835,217,908,028,626,968,288,414,642,081,101,708,741,
338,826,802,514,976,676,295,023,331,806,229,657,812,404,531,196,206,601,021,
572,813,050,408,730,299,611,677,272,790,782,698,236,994,997,670,958,360,076,
485,738,326,981,086,818,631,584,953,411,584,265,968,747,941,493,827,203,442,
943,302,408,178,044,866,653,825,059,373,775,603,140,504,464,737,902,809,512,
771,330,057,226,397,140,666,874,384,285,933,821,157,260,498,061,914,632,144,
564,594,498,277,646,526,629,811,001,476,918,829,282,533,540,041,611,073,217,
715,620,436,215,090,134,200,264,172,736,367,223,304,181,302,526,643,402,737,
959,476,835,823,163,174,035,960,589,506,914,478,922,926,863,908,528,468,822,
738,978,569,167,052,237,789,374,007,639,600,940,558,849,790,642,983,651,969,
608,498,980,286,171,554,530,997,531,095,189,155,909,685,896,304,056,018,815,
180,368,722,716,748,952,480,471,647,168,111,642,900,876,853,723,485,902,289,
950,781,831,887,476,292,470,322,474,930,229,132,687,944,602,275,582,359,550,
576,313,836,711,632,469,282,385,363,079,284,870,387,190,098,785,560,596,378,
708,601,520,900,420,085,999,484,327,826,920,502,239,440,030,303,132,409,267,
105,900,178,993,297,669,177,574,119,477,867,770,336,468,711,376,065,861,919,
419,417,847,678,564,579,005,071,498,923,688,031,028,827,315,776,209,649,295,
908,600,044,155,231,047,288,673,089,303,170,743,489,049,044,526,070,209,024,
757,150,270,592,964,032,556,522,762,155,705,580,061,239,136,158,772,306,624,
293,110,854,867,359,914,721,568,491,569,027,587,047,675,743,000,099,971,628,
073,569,152,033,949,367,917,307,611,020,936,850,250,849,679,277,070,702,598,
326,166,652,450,062,951,991,018,587,997,467,129,540,121,039,759,531,050,921,
379,917,535,403,521,677,034,940,145,458,949,697,878,302,328,621,895,228,546,
660,364,736,903,848,740,519,127,032,023,297,967,524,466,797,764,253,252,212,
591,632,883,820,680,776,850,490,855,041,375,275,199,834,128,195,501,886,488,
909,948,511,741,308,696,354,761,232,451,617,105,270,437,408,108,522,367,969,
409,995,701,732,217,754,415,640,924,236,346,226,831,794,664,308,254,866,354,
089,093,625,082,486,155,214,776,582,792,103,996,943,835,160,932,557,190,009,
889,438,059,246,142,996,170,607,203,931,856,685,293,149,889,215,518,031,896,
748,372,824,808,318,698,316,247,542,747,673,676,522,009,278,326,793,248,754,
027,757,294,839,400,291,354,519,882,065,603,893,624,860,189,429,939,968,689,
307,699,867,803,698,563,960,531,463,557,017,983,027,038,994,623,826,772,556,
926,556,011,749,272,031,714,131,367,654,703,549,934,794,576,803,972,579,854,
538,502,677,171,761,459,311,053,531,959,413,797,339,251,819,238,212,520,462,
693,049,840,618,646,862,641,360,720,561,633,868,342,236,152,022,814,085,141,
153,670,443,043,351,595,569,995,300,126,566,673,686,177,946,060,367,253,339,
443,990,302,100,447,372,880,660,041,377,066,626,233,816,120,134,294,371,350,
809,215,165,825,490,437,803,237,921,563,551,567,292,332,567,755,309,977,222,
103,786,355,631,934,806,680,737,101,600,646,178,667,257,632,256,242,220,651,
082,291,661,762,508,088,761,085,353,762,587,348,373,501,580,783,951,832,436,
631,268,236,273,430,606,441,286,836,977,578,137,810,390,335,203,200,929,982,
634,144,404,994,766,315,586,475,800,732,879,677,163,989,288,319,191,213,950,
248,753,597,660,176,397,081,048,990,934,816,841,354,406,391,363,610,725,863,
156,273,974,900,072,899,368,907,623,013,624,342,915,407,859,639,991,151,339,
994,362,262,996,957,476,842,904,655,292,437,022,822,126,189,725,677,721,885,
054,770,238,344,641,758,356,060,987,100,618,969,130,804,650,012,290,546,014,
294,599,335,133,012,012,467,236,226,042,349,320,069,589,370,930,244,575,625,
187,593,849,528,502,241,859,495,387,888,564,607,132,073,672,818,119,168,577,
389,534,172,842,923,458,481,778,793,706,944,850,136,002,889,916,442,782,057,
349,562,206,058,142,500,153,334,762,525,843,543,228,233,700,469,747,964,631,
896,725,999,922,514,175,401,429,180,995,755,147,998,382,526,175,348,602,634,
321,741,613,035,751,264,435,853,377,626,039,393,547,607,646,965,098,982,171,
795,234,448,934,292,679,199,264,647,172,891,726,052,598,787,648,882,602,798,
289,250,376,051,424,995,171,869,916,290,973,001,389,339,158,391,405,938,564,
983,758,869,005,263,750,591,093,324,297,306,806,363,482,626,663,726,092,808,
623,617,737,178,372,300,067,020,846,252,440,337,968,273,755,400,303,352,390,
327,485,724,997,756,963,441,334,053,362,896,236,739,624,657,142,215,340,340,
372,817,628,214,374,015,724,796,254,753,452,253,214,994,072,943,064,627,836,
060,137,826,744,591,192,714,866,961,015,334,842,665,772,174,955,497,036,316,
176,663,603,625,824,319,661,074,299,687,898,207,972,908,400,897,784,672,979,
821,769,473,419,052,594,325,529,788,223,059,169,346,195,498,418,184,332,781,
124,837,604,485,618,592,761,251,325,806,874,097,692,537,504,766,245,523,635,
677,423,881,056,409,301,315,560,393,263,426,966,127,717,914,634,159,890,355,
370,872,530,952,172,892,349,951,205,195,179,623,269,809,938,984,231,153,054,
757,184,989,263,091,200,188,849,236,916,527,736,034,825,097,007,376,920,313,
595,330,205,088,610,166,328,141,361,254,854,918,833,666,412,526,947,993,597,
627,378,653,748,381,691,312,422,505,517,549,621,076,357,443,600,714,964,879,
890,466,452,773,478,660,074,089,348,683,526,320,799,786,010,824,521,039,578,
937,155,222,151,212,528,387,174,700,450,595,159,798,767,386,068,854,671,128,
798,039,692,693,043,892,688,063,933,387,486,079,240,383,958,450,468,598,150,
104,593,220,280,524,867,120,988,060,504,850,953,073,194,473,786,333,472,639,
245,456,157,688,013,451,633,117,343,375,699,958,716,650,940,205,148,711,570,
043,682,507,531,882,740,334,570,028,808,466,729,432,992,888,086,109,053,863,
943,032,086,436,865,385,581,919,305,634,040,499,754,341,614,044,025,977,955,
986,614,264,794,465,442,874,376,776,112,358,660,586,569,325,950,745,683,829,
992,684,661,782,060,858,491,693,910,875,066,496,699,482,379,646,276,967,787,
862,984,797,976,442,452,269,257,049,158,070,883,111,442,533,365,481,892,949,
429,407,643,436,495,477,988,258,095,195,418,930,762,065,441,354,788,532,999,
326,860,274,673,190,149,383,820,391,586,103,131,101,349,616,173,716,293,300,
706,835,258,258,205,720,099,034,776,277,961,325,908,280,170,134,529,512,891,
448,064,405,172,702,997,724,034,818,940,881,483,988,381,171,972,879,113,889,
202,788,417,013,328,662,871,810,676,702,894,200,495,220,573,114,204,839,872,
200,323,923,775,071,278,249,759,700,032,787,340,573,388,498,410,495,733,735,
819,198,105,629,758,405,777,398,395,498,531,708,745,988,494,796,975,891,132,
507,632,306,274,923,287,307,685,606,814,971,186,233,587,540,049,696,468,294,
664,951,678,332,653,047,587,005,999,153,094,472,068,707,253,897,218,614,462,
031,977,825,440,790,747,579,573,756,646,988,793,804,385,377,441,554,431,189,
511,959,295,562,774,646,966,791,471,767,956,720,200,960,997,706,716,003,533,
018,061,911,599,644,366,630,954,767,311,397,243,663,318,176,321,901,589,328,
764,781,160,012,537,555,272,209,610,618,765,396,264,860,894,954,808,262,343,
931,827,052,758,471,111,846,315,660,874,058,865,990,064,804,359,349,664,873,
884,881,138,346,121,451,254,317,233,996,697,787,616,675,585,484,441,032,136,
015,396,391,713,389,201,918,940,455,971,144,533,148,900,315,209,198,329,778,
640,745,148,649,983,715,132,767,233,219,381,936,501,433,243,738,872,423,301,
437,020,221,425,119,329,060,300,268,149,758,842,022,667,718,579,527,869,584,
079,024,398,659,835,584,002,833,328,452,366,652,415,803,551,187,446,035,340,
738,038,273,697,683,033,805,931,632,853,075,055,567,264,102,652,140,413,332,
861,686,753,476,311,363,938,289,199,866,674,435,765,562,336,433,632,257,434,
831,669,010,630,059,514,277,007,576,718,749,475,568,434,729,877,499,974,113,
575,407,805,840,363,043,190,110,728,524,744,198,214,094,702,676,436,251,678,
672,118,800,451,614,379,292,491,947,738,627,088,226,945,505,631,688,423,784,
508,511,292,792,114,532,051,025,110,316,090,335,237,137,313,671,507,312,695,
561,560,552,350,731,627,494,617,787,945,681,590,173,371,872,308,412,192,537,
623,643,585,651,148,451,804,791,761,744,915,782,757,745,033,096,654,011,753,
149,536,655,870,466,797,446,776,812,461,034,190,968,152,875,512,250,306,526,
606,760,392,711,151,269,203,110,431,083,860,378,600,590,805,097,303,759,987,
171,416,968,159,056,064,436,224,325,353,776,076,552,445,590,529,559,249,913,
442,816,727,442,787,329,918,564,644,056,250,887,377,199,650,579,800,684,208,
721,427,027,634,985,411,234,631,409,429,621,264,555,247,201,773,397,806,427,
962,127,580,535,024,237,816,080,919,917,125,487,590,702,369,811,380,221,705,
165,764,935,334,500,404,054,171,245,791,853,364,224,752,239,939,423,952,524,
339,780,800,108,283,298,062,511,258,965,304,673,627,168,362,009,624,824,493,
966,045,697,579,899,016,701,496,838,162,605,065,389,960,998,709,318,868,346,
077,466,021,017,551,301,875,503,796,572,451,844,875,642,054,382,170,034,095,
395,679,433,778,788,680,251,081,145,642,261,208,466,250,444,307,910,633,511,
807,971,689,283,361,973,761,380,447,737,972,769,570,796,713,488,311,044,532,
845,923,593,720,951,989,772,894,620,366,781,981,118,441,921,500,651,987,071,
171,715,350,910,066,935,197,167,514,225,546,820,407,163,089,403,866,634,883,
287,157,860,461,945,704,270,172,875,914,689,239,705,859,047,560,925,940,751,
501,887,516,286,908,581,925,680,021,907,506,814,159,983,390,081,627,240,923,
694,632,215,964,777,190,143,741,605,143,809,032,602,278,320,043,047,326,472,
322,038,429,303,498,660,622,183,772,678,932,650,425,809,576,088,733,137,448,
460,060,884,346,569,535,594,328,458,835,092,808,173,042,480,052,526,973,294,
948,005,103,052,564,404,498,601,870,692,067,128,377,339,486,501,103,950,575,
998,049,664,725,223,888,924,429,532,208,069,059,091,283,032,995,662,562,663,
477,613,516,197,467,521,339,288,742,901,862,207,100,080,075,639,967,228,619,
319,429,091,931,966,651,889,417,309,765,288,055,507,263,821,341,482,673,250,
810,328,737,000,974,299,434,874,191,715,834,800,525,218,370,690,175,344,487,
910,678,665,932,104,533,465,602,335,640,555,120,753,900,771,127,543,049,967,
976,317,089,254,001,167,494,424,059,431,689,199,251,248,036,096,457,065,014,
585,753,490,555,033,381,049,408,911,062,734,706,869,413,959,669,786,671,869,
356,502,806,031,755,806,463,352,908,720,968,778,684,747,913,209,479,185,362,
062,519,927,771,937,321,564,721,895,300,131,417,593,320,481,952,639,159,897,
327,300,309,764,067,385,047,403,521,557,646,233,468,818,558,783,043,125,027,
308,511,528,094,374,903,504,859,841,454,711,277,663,248,335,419,159,697,560,
718,581,131,723,300,035,723,244,607,039,282,087,262,480,487,990,732,393,198,
252,190,326,307,443,760,464,335,205,078,639,781,595,030,816,285,566,840,503,
530,714,255,247,356,451,524,276,094,887,200,380,088,255,422,389,067,426,233,
144,823,447,421,973,722,346,959,037,903,852,694,930,504,707,989,412,125,414,
232,851,069,538,599,270,273,967,606,632,199,009,229,132,679,061,994,415,344,
103,216,238,492,605,306,771,301,830,985,588,419,017,472,963,780,837,439,792,
003,121,215,949,765,210,728,021,716,696,658,571,296,455,089,631,782,720,671,
630,944,385,787,967,809,077,748,014,529,504,177,056,073,495,003,572,662,278,
728,276,570,631,836,543,973,061,065,670,238,831,424,527,405,431,428,374,821,
344,722,830,183,656,778,738,724,259,227,422,517,482,602,529,760,747,564,887,
076,244,865,521,497,480,067,585,125,511,531,867,225,460,894,618,286,576,858,
848,616,523,005,485,469,832,875,976,880,751,482,947,877,959,918,612,886,683,
610,595,385,747,291,750,639,436,800,559,983,719,095,675,741,149,183,535,936,
955,159,381,613,760,462,173,395,184,857,681,613,903,476,854,535,625,040,486,
931,652,992,898,128,511,504,492,923,956,604,666,318,058,561,526,659,910,398,
905,389,335,669,861,560,893,855,027,103,935,711,067,355,590,317,400,146,817,
496,250,781,178,283,052,043,835,745,501,646,090,756,030,755,737,693,248,552,
207,573,271,839,777,134,282,768,112,475,437,747,814,208,874,730,737,589,234,
316,555,935,638,004,927,163,612,193,211,036,760,217,265,543,302,263,086,298,
610,961,523,537,238,092,824,731,464,925,223,909,051,895,521,389,681,048,402,
215,882,690,809,688,981,098,883,305,559,274,097,491,874,183,845,633,969,011,
553,063,323,847,556,533,748,004,763,031,639,405,546,080,129,349,797,362,509,
050,398,307,388,866,054,835,790,423,977,213,142,534,609,956,074,912,783,150,
283,195,679,746,418,343,483,466,393,365,445,801,149,077,111,013,910,179,432,
442,254,304,845,332,293,323,534,723,388,076,156,015,421,798,269,523,831,447,
174,212,853,436,101,537,909,137,868,947,387,946,249,762,617,887,268,110,889,
972,343,987,048,818,987,694,069,881,152,458,254,257,505,101,781,909,778,831,
260,051,358,129,331,434,426,583,924,614,157,474,766,610,272,648,941,381,360,
123,566,937,056,398,938,545,294,423,656,783,425,578,340,307,140,920,300,459,
989,009,085,334,337,279,759,048,052,150,523,265,842,063,295,707,619,326,504,
902,053,704,428,656,925,453,375,542,657,350,063,018,137,951,195,531,388,217,
855,617,995,901,949,015,664,493,078,673,926,501,715,141,867,771,445,079,756,
375,835,232,627,553,962,554,221,917,082,861,499,985,363,929,812,924,465,100,
853,444,311,360,079,174,840,399,753,091,668,053,565,283,765,358,075,101,210,
700,089,963,814,375,742,930,524,302,615,874,347,832,425,922,302,377,815,436,
943,656,478,055,060,204,541,307,270,316,319,001,225,148,624,434,801,867,742,
598,332,635,940,146,943,761,420,104,047,166,198,917,692,437,826,651,727,382,
960,108,430,488,264,682,217,435,310,189,636,069,625,965,514,554,645,552,592,
933,380,216,347,792,063,590,423,555,975,178,347,540,919,403,627,322,534,658,
463,439,076,941,429,733,923,791,540,698,766,823,765,836,607,644,591,981,898,
410,226,981,572,158,710,196,761,059,392,934,628,977,927,818,454,705,708,176,
748,751,740,135,465,762,682,520,018,039,936,136,895,781,948,228,432,621,568,
474,072,855,504,282,709,347,731,919,303,359,101,860,263,678,093,690,964,185,
726,752,606,101,698,174,742,666,384,081,531,609,451,879,086,303,768,024,220,
908,343,987,606,340,041,823,921,643,162,911,982,258,164,151,894,121,217,532,
161,128,391,000,484,201,548,076,798,131,085,435,822,473,743,729,582,598,052,
023,220,611,484,887,343,144,574,143,539,246,525,392,171,351,817,677,871,100,
221,404,146,801,879,354,323,051,174,877,081,180,971,590,646,157,824,018,354,
363,909,341,745,734,567,685,971,167,832,074,606,005,879,464,793,199,351,837,
110,230,755,230,834,908,216,319,131,711,488,682,679,812,105,518,599,982,785,
761,744,377,826,243,813,410,345,890,783,738,179,765,656,925,191,507,951,559,
576,885,297,554,790,889,204,384,315,539,564,819,795,972,727,825,783,349,059,
149,764,779,864,810,994,824,467,728,674,085,619,034,748,825,796,265,186,105,
634,975,440,950,600,031,300,242,159,780,354,909,252,126,092,341,425,737,510,
566,471,497,621,380,318,454,309,716,437,411,519,473,778,971,118,045,030,196,
392,387,380,879,839,001,165,013,728,683,629,537,627,350,130,459,827,448,531,
477,938,899,915,175,372,756,387,971,224,863,713,485,319,550,969,613,819,760,
132,281,659,477,894,286,303,248,492,249,787,128,969,011,772,930,356,966,731,
746,345,783,823,534,978,733,172,651,648,005,921,126,017,167,719,037,852,762,
995,870,317,633,709,371,787,143,449,512,369,378,850,326,031,139,992,719,640,
829,641,274,769,673,958,249,337,616,169,941,670,567,772,871,747,302,330,634,
271,451,790,605,212,822,706,454,854,010,372,589,975,340,053,021,917,256,899,
838,740,469,668,776,759,810,092,966,958,409,634,217,504,257,460,810,939,895,
921,651,402,527,092,672,660,842,798,271,395,845,010,353,041,507,395,363,795,
690,884,486,512,922,932,348,115,600,118,878,578,394,631,427,128,862,478,001,
062,858,828,759,394,322,973,575,575,099,087,974,014,304,627,932,314,524,622,
033,415,521,667,038,646,523,339,434,700,909,763,012,507,115,598,429,444,186,
438,810,115,762,905,151,732,987,706,893,328,218,371,178,045,714,342,152,033,
590,719,350,413,536,637,184,311,904,207,170,880,430,608,449,178,686,581,588,
928,651,649,543,158,962,795,125,537,880,190,368,860,282,527,421,460,715,125,
885,825,265,435,296,017,752,885,957,175,944,671,997,035,442,255,170,127,934,
374,952,041,335,361,742,432,151,089,205,891,449,473,300,796,191,423,739,611,
676,686,971,399,349,847,758,639,494,869,692,528,084,310,411,161,862,482,098,
329,270,907,171,292,037,255,641,936,340,517,587,652,136,304,786,932,092,732,
469,885,486,865,518,623,833,285,350,129,569,053,701,653,173,904,861,339,293,
723,166,817,148,162,770,603,925,437,606,445,841,275,051,398,563,024,082,534,
809,678,861,136,837,601,460,412,208,166,311,646,538,865,817,312,975,923,716,
710,628,482,053,369,552,790,122,476,667,968,927,092,194,578,261,774,484,425,
712,117,873,410,573,371,620,346,917,728,576,223,697,325,863,585,855,266,591,
945,183,170,108,150,809,496,942,456,422,667,853,251,928,232,445,379,994,472,
237,935,613,420,702,620,515,654,929,028,507,561,256,703,956,688,667,985,251,
324,041,013,717,712,574,205,461,644,379,655,438,758,573,697,657,519,070,847,
266,556,375,206,949,313,374,344,605,832,429,682,062,780,659,367,033,193,329,
020,951,408,785,768,218,345,468,705,467,791,641,176,770,291,582,005,486,684,
033,040,921,042,710,419,597,079,233,902,525,043,326,626,709,900,509,206,139,
116,859,266,115,320,124,653,658,932,538,535,536,822,453,350,110,781,902,154,
384,278,539,169,097,022,390,866,512,234,920,923,866,070,221,804,222,481,496,
213,324,469,062,553,034,961,823,911,846,913,706,474,059,498,550,195,373,896,
751,361,969,525,328,549,837,059,508,635,212,844,587,713,731,572,265,923,318,
101,034,363,243,431,507,135,404,406,586,356,823,421,895,746,787,912,177,249,
713,828,606,293,866,283,997,948,599,706,569,776,957,696,181,991,371,572,534,
778,794,682,712,318,741,938,926,100,786,127,378,189,984,535,276,268,352,561,
985,902,909,028,948,934,295,776,177,271,538,253,030,385,050,428,661,480,952,
115,436,302,316,327,091,797,794,431,376,201,995,362,965,574,926,748,481,029,
749,127,897,706,842,533,310,654,170,364,122,564,941,368,829,816,030,916,532,
331,538,417,439,317,479,961,551,066,144,225,312,526,810,410,934,773,718,550,
171,348,322,087,893,839,614,459,486,831,215,812,276,274,091,292,718,126,864,
212,066,946,782,044,172,359,000,527,348,035,328,660,459,089,720,323,586,074,
606,817,003,026,928,877,276,380,047,532,483,962,467,416,083,076,586,189,818,
633,511,731,177,160,463,880,782,688,553,744,802,552,042,326,869,140,655,132,
282,996,224,816,478,389,945,738,415,362,599,796,553,186,272,308,853,541,427,
070,999,741,406,654,935,873,418,982,355,318,354,111,116,806,873,472,695,852,
426,972,566,471,595,768,237,839,098,608,701,120,643,468,348,270,486,609,960,
725,481,736,070,887,242,123,724,944,209,115,326,052,308,067,808,402,987,285,
174,271,745,679,231,660,052,799,879,001,217,526,866,586,232,953,053,576,588,
945,974,442,315,341,660,085,283,951,914,058,686,753,528,712,859,064,354,639,
772,341,983,258,551,178,589,180,872,304,852,839,800,495,623,998,882,922,477,
832,940,387,844,848,730,869,120,901,268,020,471,624,769,025,502,315,469,837,
547,416,348,591,416,097,461,551,230,155,320,203,760,905,277,031,843,133,765,
529,152,027,577,215,782,823,063,850,906,591,652,575,750,621,692,051,646,548,
286,670,170,462,716,400,668,694,300,543,564,391,016,008,351,792,474,442,231,
075,863,188,333,979,188,397,025,886,879,155,735,014,603,775,928,933,846,785,
349,720,384,671,228,548,137,634,791,404,971,042,441,627,611,559,477,043,470,
249,370,363,440,659,547,477,332,198,039,944,456,700,714,060,809,731,524,570,
195,042,332,973,487,341,848,052,181,192,696,746,900,391,980,176,294,969,580,
072,345,294,747,344,394,598,951,633,683,233,643,618,940,540,664,697,599,068,
314,755,813,195,489,849,589,117,911,342,626,569,662,948,151,798,592,855,817,
357,427,252,866,104,485,537,079,947,529,695,145,058,218,636,375,503,682,782,
451,427,298,469,426,010,918,227,836,150,266,181,175,592,518,677,255,850,229,
313,976,836,596,307,268,634,056,136,648,029,414,651,032,389,693,644,938,688,
501,786,463,437,429,547,828,346,960,965,738,076,157,717,636,098,386,182,828,
278,134,170,507,994,873,525,269,508,113,826,750,734,986,730,232,624,453,342,
486,659,144,956,501,139,621,840,456,067,604,611,289,690,832,565,868,619,564,
662,673,421,713,885,813,873,064,455,721,123,808,668,930,380,836,465,980,169,
568,807,578,457,287,151,529,246,589,970,839,663,247,273,896,805,351,084,011,
623,940,155,998,449,420,703,113,366,329,757,593,204,723,833,019,798,887,116,
149,523,122,853,552,587,315,330,857,537,916,211,692,639,154,435,246,486,337,
318,486,825,611,291,249,758,133,294,465,570,821,937,142,876,241,063,508,384,
763,041,184,285,828,457,649,120,713,508,066,921,988,637,801,003,446,766,380,
069,908,601,853,803,325,387,945,316,510,367,251,501,279,267,611,793,550,932,
327,847,805,970,192,642,907,005,530,944,165,184,125,590,445,465,436,234,630,
686,387,055,235,747,159,757,144,664,891,647,509,752,534,364,763,915,636,946,
136,856,406,663,355,612,266,542,952,799,909,852,434,329,231,688,501,558,047,
166,877,517,421,034,422,552,720,333,352,467,265,526,355,810,958,456,044,145,
991,271,056,064,834,423,844,720,114,441,368,317,960,654,309,791,890,221,708,
066,126,054,044,429,994,750,726,710,537,351,684,500,334,353,978,754,827,309,
095,819,147,695,593,357,968,909,869,023,371,957,378,758,944,549,916,924,402,
132,089,721,955,829,729,463,909,379,866,047,901,238,729,245,831,231,342,612,
619,039,603,105,866,292,546,191,499,009,277,612,310,149,328,134,332,006,312,
455,711,512,889,830,626,291,070,641,530,685,092,372,674,531,863,279,632,504,
263,582,846,948,626,510,892,058,660,130,910,955,518,933,774,137,212,675,129,
279,307,198,405,889,490,129,367,554,030,408,938,574,805,579,502,964,767,709,
758,137,193,360,375,289,024,779,332,000,987,749,437,846,621,474,973,967,860,
584,339,348,223,740,618,938,756,036,525,419,081,715,674,582,058,682,073,663,
921,827,494,685,650,273,681,576,415,572,736,932,463,215,226,265,948,086,959,
799,081,731,654,116,485,647,437,425,777,042,907,294,069,416,618,452,663,228,
991,546,027,785,721,890,680,699,543,351,433,045,955,621,808,157,330,836,069,
390,806,183,500,955,759,106,093,358,190,142,413,757,719,084,833,244,947,556,
333,484,484,366,093,013,379,064,465,469,084,228,200,640,102,293,994,452,766,
307,451,150,506,202,736,409,168,642,596,901,067,046,222,858,290,319,623,888,
797,477,150,365,490,843,155,634,419,642,952,166,191,917,435,534,968,436,084,
782,926,041,980,446,753,218,645,141,185,728,284,592,343,008,587,190,910,048,
752,139,666,983,542,492,982,365,884,629,547,902,289,193,434,294,513,206,661,
504,972,811,064,159,310,915,332,208,312,265,518,390,482,874,329,925,991,747,
880,843,716,435,040,297,569,835,628,780,616,682,327,216,051,456,387,162,870,
167,200,015,049,434,440,029,663,199,181,202,131,115,207,492,141,628,632,502,
696,924,379,359,230,554,075,017,638,851,940,156,145,507,053,421,186,910,979,
794,489,834,616,615,086,448,859,767,691,482,442,322,899,853,045,186,236,181,
605,949,222,651,320,529,944,254,479,556,284,096,273,110,730,892,968,867,830,
162,672,636,495,591,991,874,143,138,097,438,503,735,341,043,483,246,790,333,
515,995,766,941,370,902,109,036,952,631,213,184,895,747,165,496,915,833,061,
381,139,623,767,451,372,855,576,598,807,418,355,197,263,491,713,006,616,435,
427,391,825,130,378,776,190,097,635,587,105,555,495,662,122,830,749,991,654,
046,470,661,162,215,850,340,476,340,218,661,754,289,032,714,366,208,015,924,
718,533,315,362,561,482,108,788,387,841,546,151,206,167,063,635,542,635,266,
695,830,876,023,282,396,212,805,399,714,390,035,624,006,703,956,788,682,331,
455,384,955,543,354,952,985,857,533,264,104,686,741,920,624,859,378,093,265,
111,096,278,989,730,109,435,062,513,386,265,021,099,115,409,470,167,135,931,
583,412,317,939,393,437,805,048,898,194,184,405,249,326,040,487,818,388,503,
958,352,075,502,783,569,821,366,228,651,094,830,587,209,013,157,526,034,364,
208,774,097,377,438,301,160,465,661,304,931,457,625,505,165,740,269,033,594,
085,715,267,536,977,082,084,120,783,557,823,952,399,701,106,876,081,374,385,
374,702,593,553,261,569,164,802,480,481,126,467,286,689,317,057,156,881,728,
959,717,003,926,596,318,954,854,281,405,817,196,546,693,780,323,372,812,085,
560,449,523,311,488,480,483,287,067,319,088,397,438,623,255,500,667,218,353,
890,230,694,402,897,084,149,099,457,092,261,464,297,594,611,325,293,108,763,
268,376,429,354,107,296,347,926,159,934,633,496,053,701,705,511,147,142,587,
657,682,210,081,948,872,925,684,536,792,310,969,354,565,169,871,748,580,988,
946,912,415,822,286,478,139,264,905,124,829,974,239,841,133,044,566,242,816,
548,099,734,155,187,794,737,300,143,749,484,115,843,135,370,829,035,816,674,
535,759,753,971,587,583,000,140,164,794,253,321,223,595,043,354,245,914,303,
823,916,281,369,507,322,075,679,929,487,316,132,535,799,041,190,564,273,261,
454,007,855,756,292,588,587,321,832,062,836,929,472,757,008,287,299,967,129,
015,651,350,973,161,807,616,759,870,049,573,277,385,099,927,892,748,991,964,
942,584,266,896,270,214,951,349,092,621,479,175,410,537,729,954,487,239,857,
325,051,322,999,189,022,901,805,027,556,342,436,123,001,788,023,890,032,104,
495,366,414,908,997,493,962,130,603,276,357,817,884,066,306,079,251,773,493,
860,039,856,388,997,068,488,521,822,309,733,056,182,619,219,431,826,099,103,
020,174,933,921,896,838,148,433,335,936,428,943,116,416,369,551,810,127,888,
513,845,653,727,830,322,005,806,644,317,318,756,075,200,040,216,308,878,849,
120,392,599,562,871,494,681,522,031,401,248,167,702,904,912,795,253,975,437,
046,616,505,931,301,935,501,014,875,876,940,765,699,765,255,429,863,998,490,
471,745,810,442,924,986,615,131,764,805,501,572,358,817,637,550,756,690,897,
337,351,785,645,525,687,270,996,397,477,613,998,582,800,869,830,591,528,411,
376,849,454,285,422,912,918,801,290,210,139,635,768,187,521,555,869,521,363,
258,179,738,629,301,053,915,119,814,563,559,338,774,624,168,547,322,123,529,
690,308,960,229,958,283,383,359,027,708,906,743,988,475,209,675,187,114,420,
777,174,056,866,334,993,927,070,072,045,748,186,342,940,932,346,217,921,322,
078,831,446,313,365,549,574,426,835,368,289,065,403,651,709,682,939,115,664,
732,525,972,931,906,880,729,173,664,186,554,353,873,204,746,836,844,057,430,
764,960,847,539,005,941,889,785,828,680,969,238,468,693,618,115,233,806,410,
431,963,212,071,652,097,288,257,691,098,005,235,525,898,976,578,191,279,550,
612,572,204,458,780,089,060,810,994,084,116,672,107,007,365,998,335,294,225,
497,185,565,897,188,061,228,302,635,584,710,766,704,045,796,485,993,386,738,
241,025,265,353,347,501,361,349,539,292,848,088,671,786,254,977,876,051,766,
105,555,953,723,519,805,097,816,118,447,089,735,092,381,468,609,004,231,752,
750,301,191,673,363,712,821,148,582,930,108,055,586,094,640,310,409,951,809,
022,079,459,323,702,326,264,301,822,834,587,128,398,219,646,239,255,488,878,
666,838,427,652,780,664,489,707,237,169,197,546,287,909,894,123,194,287,989,
995,593,378,532,254,763,209,485,995,741,773,880,424,042,799,378,059,609,431,
175,217,390,018,119,653,115,287,595,685,065,061,903,697,777,337,905,803,743,
891,472,011,934,752,142,247,352,897,754,288,478,630,756,541,854,415,907,769,
160,042,183,005,233,309,594,175,264,080,878,608,922,713,451,054,866,900,695,
872,632,696,039,821,657,223,948,409,913,177,989,969,802,238,197,243,411,356,
390,464,301,980,269,752,026,016,665,399,092,206,408,799,421,061,544,488,621,
918,951,591,928,325,722,582,610,158,816,490,863,875,475,380,691,626,880,468,
965,728,676,459,096,778,457,871,791,943,825,280,034,372,677,743,693,664,084,
975,163,471,338,662,281,012,253,271,292,143,758,214,019,572,365,950,915,601,
548,434,076,937,032,799,316,278,719,061,779,791,266,230,895,785,055,000,190,
587,214,323,567,940,713,641,275,289,458,563,517,857,595,648,801,875,257,374,
041,661,913,171,669,500,857,082,779,053,519,844,366,846,731,162,014,222,772,
301,540,654,568,098,014,580,636,487,383,316,973,409,512,298,014,025,640,776,
881,093,426,062,800,052,794,728,021,497,693,336,234,076,702,753,869,027,104,
453,376,145,038,946,522,922,124,402,164,341,601,815,845,305,960,149,014,556,
527,895,704,665,141,595,444,133,853,212,430,073,624,951,837,063,578,689,845,
852,858,726,392,171,198,391,228,108,064,980,054,972,990,929,641,039,302,352,
027,644,499,987,493,682,702,806,440,832,226,476,455,449,894,640,225,636,637,
302,523,406,834,541,595,971,764,623,468,753,913,816,113,120,094,026,279,776,
084,449,947,085,950,029,343,536,275,322,424,320,421,196,151,361,882,514,232,
194,711,636,543,508,042,248,465,265,566,010,220,848,544,301,235,556,979,711,
022,689,833,019,221,135,996,532,290,738,636,673,849,524,307,705,738,735,427,
078,678,030,739,443,177,143,511,998,220,323,940,126,864,235,197,884,624,727,
288,822,685,669,305,587,751,825,994,332,228,127,717,860,770,394,547,816,910,
843,378,060,893,649,577,288,059,305,940,006,605,500,081,790,108,587,916,832,
005,031,621,380,741,833,632,352,333,800,626,003,019,642,757,789,598,742,725,
228,507,081,893,028,853,995,438,133,848,386,503,052,752,315,556,892,865,749,
568,000,122,853,933,915,634,983,918,637,592,367,945,368,776,249,312,268,841,
731,996,653,844,042,695,547,115,709,695,151,718,982,126,979,365,984,921,766,
554,695,250,961,292,449,363,495,810,575,011,982,283,714,338,512,570,680,348,
565,699,618,659,680,401,155,538,090,165,807,821,481,848,553,722,876,675,132,
366,329,679,789,506,345,696,710,580,263,337,422,370,326,343,900,020,707,816,
616,318,823,291,388,502,017,278,387,226,156,002,945,825,904,695,636,824,325,
534,344,307,273,938,865,182,297,632,085,702,603,484,932,326,651,057,948,009,
680,721,776,112,039,494,285,527,404,748,308,741,519,822,293,089,428,342,890,
299,083,759,669,344,345,928,042,115,419,702,393,715,061,810,390,622,477,111,
748,739,047,793,141,445,997,896,878,464,480,617,058,642,253,665,724,312,469,
960,043,685,180,606,633,816,231,038,724,519,127,495,187,992,733,890,689,397,
400,345,482,778,375,135,198,317,749,583,089,880,039,858,699,428,818,564,847,
280,627,925,301,314,960,953,451,243,081,697,864,027,581,754,320,403,943,991,
655,770,473,841,085,612,108,544,264,919,120,311,496,016,910,732,765,545,301,
841,785,995,253,904,590,099,754,425,229,282,159,443,896,544,084,427,411,000,
548,074,102,653,639,974,267,299,991,572,153,053,519,970,043,631,186,680,037,
926,146,464,540,835,578,098,917,327,857,358,699,879,415,989,646,969,282,463,
783,742,770,158,095,979,394,174,097,805,622,959,950,729,711,465,611,043,321,
217,441,889,857,066,216,604,610,147,245,620,317,315,351,927,153,431,803,590,
717,303,545,105,518,270,695,783,233,572,172,014,862,086,756,642,136,075,041,
582,618,292,976,493,535,643,693,967,814,793,876,071,683,580,876,256,965,322,
497,986,896,105,811,169,239,871,084,311,705,491,804,386,945,102,216,201,074,
572,095,251,205,217,916,781,754,874,043,344,757,563,681,616,163,025,832,005,
065,108,182,404,628,285,088,011,764,833,808,136,211,448,472,004,596,810,746,
064,037,054,032,514,699,257,122,569,748,243,970,131,908,768,585,561,083,315,
307,795,779,146,725,285,436,652,753,582,626,553,636,433,277,983,961,813,289,
061,024,347,754,070,952,584,248,128,167,884,927,781,945,864,364,090,766,230,
936,187,152,508,086,637,476,623,653,897,225,574,667,479,748,167,848,038,595,
390,800,817,702,665,946,426,880,633,688,195,159,058,508,868,220,478,497,628,
716,720,981,115,369,819,571,235,973,184,669,327,585,958,419,439,793,173,184,
925,428,989,644,696,250,152,075,687,255,958,988,356,552,850,273,719,419,755,
996,937,805,826,195,670,918,239,963,686,195,022,855,774,680,797,792,239,172,
421,311,135,020,814,601,449,853,539,158,448,286,644,455,778,857,737,025,926,
392,657,560,634,688,101,795,408,984,815,519,744,170,912,974,350,372,943,380,
379,174,693,976,559,574,999,664,460,907,169,423,190,544,413,961,246,818,766,
897,018,999,058,957,932,436,255,007,227,911,570,837,444,536,419,497,426,769,
014,088,024,332,660,696,408,540,271,761,900,120,063,389,813,386,321,155,651,
183,397,625,146,972,512,347,983,791,342,089,015,569,302,845,921,156,363,946,
037,263,809,692,003,810,346,267,177,054,711,404,194,513,679,944,565,172,551,
051,650,386,707,921,912,844,719,259,741,148,967,038,893,177,157,432,390,758,
538,943,281,217,725,080,565,542,743,521,097,751,353,182,001,544,014,791,884,
383,520,498,938,994,059,196,912,074,507,874,350,764,527,688,751,187,219,571,
568,511,523,935,850,936,039,817,548,968,401,293,827,569,674,620,380,949,428,
019,566,511,631,508,188,857,915,238,781,806,770,017,200,611,300,861,535,040,
679,650,153,366,685,278,522,572,321,852,513,501,060,620,709,287,241,408,843,
437,161,287,831,205,336,157,544,537,470,645,372,418,957,084,654,880,402,632,
975,404,703,901,526,812,422,637,021,765,830,144,339,933,233,943,596,576,761,
690,324,337,099,422,463,467,779,815,709,047,066,443,977,401,122,622,270,647,
600,279,596,828,863,268,903,837,900,464,326,177,310,126,562,079,925,801,324,
219,311,041,415,957,690,915,279,129,434,610,674,815,086,092,987,044,463,152,
599,215,775,564,201,875,342,318,394,449,350,773,092,349,098,471,181,467,865,
772,453,996,261,796,894,457,261,177,492,605,299,283,863,897,624,729,017,910,
381,467,056,600,819,211,771,746,656,119,463,789,644,966,644,262,800,226,016,
821,980,081,731,437,589,971,540,982,349,857,734,610,290,950,676,139,339,616,
358,745,588,701,912,502,716,047,054,523,665,803,006,083,510,492,552,698,835,
420,013,083,631,704,503,330,301,248,299,754,846,682,798,851,029,635,655,682,
649,805,828,473,156,769,100,763,943,117,844,121,109,578,407,261,450,910,735,
835,790,162,814,630,848,996,469,730,088,941,516,244,736,845,030,685,237,201,
522,448,073,551,399,186,442,862,796,051,754,103,410,736,762,619,204,878,791,
654,524,587,346,622,914,024,173,783,562,073,870,686,286,162,783,747,022,199,
465,995,844,767,384,627,384,817,636,413,834,354,579,523,947,108,480,835,547,
618,535,440,839,200,814,718,919,639,693,346,965,308,623,717,554,449,445,280,
568,920,319,089,202,800,716,620,349,942,816,097,104,845,094,761,476,840,531,
856,972,752,454,830,493,601,926,254,157,808,359,836,538,174,965,023,021,015,
606,959,990,955,875,730,154,889,637,084,370,500,347,298,679,347,903,033,990,
409,625,678,625,745,923,066,486,545,973,050,399,574,059,165,713,774,241,224,
891,969,549,294,401,150,481,431,462,550,768,109,731,812,068,300,584,343,114,
370,965,515,507,594,276,917,619,145,406,718,070,634,455,647,999,375,114,284,
613,158,534,842,493,619,121,970,793,956,863,693,491,263,253,317,296,087,908,
030,157,120,896,680,300,178,110,224,867,918,971,957,117,810,259,900,924,679,
938,119,967,458,372,255,079,132,260,196,239,738,481,802,222,616,515,411,244,
784,940,427,533,340,766,752,204,953,486,692,455,528,404,992,018,215,817,730,
577,117,706,594,213,880,148,630,853,447,134,223,659,499,518,675,965,902,390,
759,352,365,435,860,226,978,389,369,294,482,180,660,637,431,515,380,017,390,
631,349,579,818,667,553,851,641,825,622,779,162,385,827,693,885,714,485,225,
843,030,900,358,849,980,869,517,332,612,105,166,668,961,650,048,954,382,659,
472,529,224,377,605,109,605,740,020,894,294,181,800,571,363,437,673,872,746,
785,993,711,154,841,620,887,035,388,118,260,087,930,678,326,981,482,978,946,
385,341,876,376,931,790,031,846,306,715,174,732,148,801,616,147,754,920,960,
645,235,146,048,207,317,951,872,062,324,156,203,679,959,300,039,536,916,190,
755,009,290,103,224,285,936,371,759,296,970,400,939,394,774,760,166,192,555,
358,858,675,144,094,666,673,377,536,086,473,627,905,112,890,967,515,365,539,
736,141,634,465,815,938,432,349,126,260,896,233,838,839,680,310,779,630,262,
111,309,221,165,931,855,428,921,376,396,651,660,267,397,919,604,076,499,148,
448,532,861,099,670,082,235,327,571,477,207,575,462,376,595,543,003,959,663,
580,750,042,818,018,997,862,674,445,728,569,802,080,096,179,241,150,573,278,
610,755,533,605,954,814,728,108,485,004,252,271,333,659,789,191,980,184,989,
014,471,006,720,813,629,277,513,157,855,106,247,925,817,599,318,331,288,240,
167,541,871,495,177,743,457,009,002,339,913,889,186,242,738,432,378,306,333,
736,725,375,139,817,643,640,144,558,600,017,068,537,937,082,762,813,683,594,
587,374,012,162,818,149,218,023,948,183,734,786,501,594,663,452,431,916,226,
313,331,691,291,863,432,756,499,648,720,874,750,996,638,327,456,705,077,981,
433,275,252,382,258,056,771,215,636,496,324,134,521,896,279,411,222,687,941,
178,641,292,703,180,166,985,761,082,292,534,885,731,603,742,043,357,597,451,
738,317,256,024,667,915,881,700,882,238,642,663,123,052,341,743,729,785,897,
174,822,902,919,057,793,955,857,636,065,801,977,583,152,408,940,523,602,941,
963,992,078,319,466,062,884,253,277,894,583,363,763,748,533,912,603,245,110,
603,212,394,887,364,002,740,459,708,997,383,653,868,525,246,923,718,405,808,
061,448,199,191,045,646,237,910,664,177,619,600,547,512,273,378,952,050,724,
448,703,522,621,291,551,256,485,165,181,040,481,635,273,088,256,106,498,194,
489,973,293,105,104,907,803,829,300,866,380,727,421,955,998,097,881,222,952,
928,041,628,441,227,419,619,439,595,802,442,885,048,946,043,772,730,214,361,
543,727,945,958,627,976,497,896,296,731,185,380,737,270,407,897,249,475,716,
220,926,711,187,489,728,954,143,419,325,770,270,164,502,399,099,905,457,648,
115,459,152,701,659,367,347,345,836,074,149,087,872,669,453,658,808,025,576,
536,029,086,276,304,552,047,214,310,705,016,467,695,292,125,438,720,605,954,
181,161,791,771,958,631,786,369,355,977,553,312,096,515,645,326,457,108,627,
694,675,394,599,941,195,719,252,792,660,147,596,110,118,912,605,631,247,208,
468,220,706,765,113,497,739,110,700,504,955,709,558,577,470,586,245,271,024,
646,887,915,576,042,245,629,857,431,284,427,974,562,023,984,768,983,203,593,
904,285,898,812,929,332,982,452,561,409,168,669,428,349,168,773,205,647,924,
337,740,760,769,869,891,444,939,809,681,202,731,860,531,786,286,815,318,103,
563,304,482,197,073,072,227,139,740,958,851,216,586,669,335,751,585,959,346,
103,248,394,548,478,971,901,296,588,140,534,496,903,989,635,532,676,218,566,
486,115,795,651,206,671,857,375,518,556,886,227,490,860,058,697,995,070,560,
585,780,814,855,651,033,915,853,791,046,209,464,777,848,860,914,419,235,947,
817,195,198,949,288,527,396,246,958,025,422,460,427,895,859,329,243,212,626,
140,995,591,820,345,873,295,526,516,468,745,651,395,335,911,557,849,682,966,
965,510,961,813,046,103,984,705,375,159,728,622,578,363,636,096,078,753,965,
758,590,560,924,587,036,296,765,934,959,853,483,498,415,266,769,223,399,790,
609,079,203,609,871,573,564,612,190,872,313,265,729,678,098,342,011,891,609,
111,006,521,734,470,021,123,298,390,095,561,312,549,501,343,154,601,354,969,
281,976,060,834,951,822,331,116,772,877,452,291,323,106,917,879,112,786,132,
640,115,349,051,540,248,666,071,496,979,446,086,900,365,801,836,563,826,426,
880,732,214,644,129,947,222,049,182,678,091,765,836,761,064,179,171,219,509,
839,518,797,947,403,148,629,811,809,787,583,400,340,503,184,680,739,152,549,
393,316,610,813,761,843,416,232,064,703,163,659,243,878,909,084,289,037,608,
401,168,614,470,274,894,890,595,314,038,554,682,292,701,320,963,947,802,268,
338,523,259,794,397,502,157,308,914,630,354,080,995,646,497,822,284,107,473,
730,768,383,446,799,634,294,796,757,204,723,780,565,158,432,483,419,962,228,
666,071,806,928,391,060,807,712,896,631,187,460,723,800,443,425,466,859,569,
465,523,402,618,168,438,597,665,933,133,548,379,180,457,095,836,538,017,065,
718,311,368,502,182,466,931,602,909,342,527,280,733,925,370,845,062,512,078,
448,606,388,251,113,957,655,343,651,984,739,646,263,643,961,075,170,070,836,
281,018,088,110,720,908,350,685,835,555,484,111,113,209,103,695,940,369,829,
054,902,750,476,060,211,250,041,929,602,463,398,305,120,995,073,968,500,252,
617,388,394,471,227,194,289,393,780,974,903,060,976,992,824,351,834,058,908,
747,475,089,365,471,664,149,719,101,616,138,397,458,756,618,256,262,461,230,
073,288,480,146,610,177,626,224,697,012,112,593,093,042,945,583,429,259,733,
268,227,570,743,488,756,273,711,149,770,662,119,783,144,004,779,174,621,029,
716,855,802,983,200,439,422,256,255,691,093,393,146,965,796,986,731,496,393,
301,441,892,726,231,103,634,893,316,432,311,369,119,524,236,181,457,637,585,
861,834,536,023,629,644,168,762,511,040,311,746,156,993,957,400,973,486,864,
330,696,492,701,088,795,852,798,998,258,716,134,992,375,053,747,908,514,913,
572,011,125,561,836,958,865,948,213,666,167,097,885,682,467,194,441,753,864,
813,549,343,763,228,862,885,535,329,952,348,756,433,707,983,872,452,451,766,
685,209,219,500,069,762,746,845,282,220,996,051,240,949,385,088,173,455,332,
662,912,036,376,929,109,971,760,164,500,809,514,990,264,066,325,352,020,724,
341,770,987,804,632,056,100,899,291,956,256,613,433,525,334,434,476,057,332,
320,526,873,533,445,834,103,402,387,068,428,979,290,858,734,964,720,161,135,
150,431,019,207,278,797,832,609,774,563,323,327,718,041,026,323,262,510,061,
966,218,273,253,505,380,183,012,735,436,260,878,062,143,579,915,023,213,699,
318,206,007,420,450,594,543,218,985,882,045,555,872,801,763,286,063,864,967,
036,084,868,497,620,869,140,371,933,932,299,941,689,783,115,037,487,398,207,
427,239,000,647,028,259,066,415,298,291,947,348,033,045,962,177,745,193,426,
863,673,688,417,155,574,261,253,496,968,077,976,136,077,817,590,443,955,741,
388,865,528,978,950,106,960,423,134,627,590,239,088,121,405,813,046,024,918,
913,617,420,409,894,378,426,481,650,367,593,486,209,572,852,253,363,199,154,
029,996,204,589,326,404,833,282,783,374,572,544,910,271,435,196,623,721,294,
595,247,989,123,110,640,298,390,195,760,647,725,546,105,125,773,969,234,791,
702,997,611,540,505,027,681,277,854,585,056,222,737,655,055,191,941,643,876,
428,508,201,023,266,698,898,207,504,303,328,286,550,440,827,066,586,536,064,
764,564,844,291,988,445,282,018,677,187,175,652,874,611,651,683,703,861,271,
640,274,432,778,455,967,393,387,320,537,766,973,095,267,182,423,197,515,224,
245,132,481,762,456,110,193,221,591,068,470,374,933,927,085,760,792,000,399,
494,232,729,491,640,384,944,671,905,851,144,748,001,730,640,101,933,771,502,
744,618,793,715,493,119,926,642,829,509,559,447,932,052,765,656,570,862,563,
606,384,026,850,967,669,342,916,945,676,706,134,940,945,019,313,158,646,899,
121,367,336,567,763,551,471,644,920,870,784,223,874,489,645,262,485,991,070,
611,895,490,599,787,197,840,774,595,553,484,140,292,394,125,248,840,462,964,
450,257,218,425,091,933,701,526,327,307,541,419,993,595,841,634,483,443,938,
669,970,041,258,173,023,758,572,971,295,847,002,813,314,603,892,303,415,213,
479,311,725,728,464,138,965,890,863,854,201,412,530,952,911,414,305,915,133,
903,357,774,763,354,125,159,593,337,202,954,011,503,723,951,054,690,681,733,
510,617,094,549,433,719,932,836,188,285,897,388,508,483,631,023,412,840,295,
977,413,730,352,308,350,435,219,260,447,863,509,808,852,146,237,078,854,799,
275,530,656,163,976,184,066,673,619,273,079,425,607,574,278,278,284,692,080,
119,320,108,031,240,922,984,215,104,826,082,008,621,648,046,153,396,909,624,
290,050,351,918,100,523,038,878,657,818,977,049,720,639,192,118,615,111,945,
610,247,058,886,230,612,079,963,350,617,479,485,123,475,493,189,620,245,406,
301,382,144,725,092,572,570,195,445,635,040,101,273,641,972,803,327,994,861,
970,747,607,439,393,761,037,439,173,327,219,031,366,852,050,279,455,310,259,
450,882,048,172,208,431,191,896,936,825,821,699,605,630,869,554,719,267,736,
388,885,399,077,875,906,668,729,034,358,127,607,610,612,129,098,532,616,620,
381,063,335,795,189,642,651,467,287,708,117,546,066,821,340,701,946,091,347,
225,966,634,733,698,093,840,216,041,351,598,137,191,998,514,223,584,074,591,
337,741,174,581,978,752,870,746,314,923,994,078,920,038,683,897,797,191,971,
612,158,456,594,276,396,928,690,705,011,168,669,817,567,109,083,942,917,223,
214,041,554,153,427,922,888,126,998,383,746,183,008,656,748,838,871,417,471,
015,522,410,859,313,776,232,292,411,179,859,874,404,480,703,734,516,703,388,
408,073,228,489,994,020,270,111,087,876,007,952,510,403,991,685,736,267,628,
176,187,209,960,490,971,273,680,145,612,986,787,092,506,525,970,293,704,527,
562,633,769,287,264,344,215,427,938,251,912,340,770,147,036,238,358,277,806,
731,518,577,013,540,671,745,289,288,237,991,906,626,134,024,004,214,632,968,
803,030,436,760,421,928,375,716,824,876,079,172,205,971,574,406,467,124,358,
691,707,952,255,640,631,384,170,378,062,304,722,103,588,088,613,496,011,518,
914,027,616,395,273,442,678,483,437,467,899,396,076,101,920,192,203,601,035,
466,472,914,271,460,902,217,126,102,963,756,272,028,102,674,727,498,223,496,
629,782,989,615,456,828,518,982,038,724,706,247,930,696,198,317,078,479,219,
635,435,095,151,739,095,272,988,993,456,484,417,638,691,575,639,984,796,986,
154,478,556,307,360,218,987,604,530,664,900,700,187,928,731,309,445,782,519,
952,473,049,877,237,463,080,325,480,211,579,004,248,087,432,645,179,613,745,
410,599,028,726,435,126,891,865,285,265,579,817,198,474,683,205,945,026,792,
634,134,319,820,295,929,224,566,941,689,677,427,776,171,315,660,176,296,626,
739,777,097,509,183,705,515,760,935,983,502,614,592,487,318,937,076,197,450,
414,721,658,917,240,928,899,878,104,717,975,866,567,725,253,082,456,933,058,
324,096,595,585,642,446,853,530,286,763,380,706,059,138,728,845,016,908,539,
489,725,651,426,375,528,869,082,514,420,979,716,527,588,351,345,352,243,070,
642,910,627,048,497,775,812,308,835,825,991,865,800,909,417,632,103,289,566,
279,650,915,111,596,509,010,920,244,978,455,804,013,209,651,522,592,534,318,
551,559,508,089,819,368,443,188,556,578,659,851,334,867,393,420,131,602,078,
820,433,795,769,631,479,975,219,211,177,388,636,249,691,441,547,863,454,494,
891,810,415,432,166,166,117,126,937,290,837,678,426,005,636,214,092,162,138,
023,407,421,582,253,661,702,384,598,106,406,071,537,061,751,777,069,761,924,
769,949,266,435,859,658,450,664,111,881,344,158,705,793,673,860,561,355,012,
206,747,912,426,299,728,214,021,553,954,507,551,739,695,487,392,803,910,698,
984,030,576,922,896,162,409,827,966,089,085,336,066,937,841,515,536,255,415,
019,854,191,046,268,577,779,771,624,635,295,751,174,442,397,695,900,025,142,
133,066,148,860,021,060,706,231,811,411,390,775,556,331,457,254,161,791,059,
199,099,986,184,138,487,228,492,638,749,282,342,439,504,144,051,831,824,646,
268,545,159,744,148,530,985,367,504,208,676,769,131,038,791,722,837,608,872,
758,400,415,426,951,980,308,829,462,457,646,107,410,674,349,799,293,393,638,
348,597,281,904,731,730,922,019,675,341,469,048,212,070,424,956,183,706,538,
038,970,156,492,282,065,905,098,996,854,439,438,371,575,367,350,437,425,974,
394,041,331,491,425,075,597,554,450,016,328,629,266,686,691,702,369,920,522,
413,779,318,209,647,392,311,320,119,463,252,869,261,914,661,883,571,799,757,
877,693,167,253,306,526,397,285,739,992,687,293,486,594,863,769,539,320,131,
103,410,298,628,049,499,264,814,814,595,119,277,720,863,119,510,535,261,953,
730,842,229,121,175,305,386,836,777,399,912,999,723,513,784,150,078,019,455,
737,976,916,677,376,261,970,353,136,831,735,045,389,615,345,815,015,253,965,
130,390,991,238,752,461,426,265,733,216,899,676,657,644,759,060,080,239,560,
665,396,173,103,690,977,064,191,060,188,413,427,901,312,293,323,239,319,442,
135,612,856,010,998,262,236,310,677,927,961,130,730,100,035,481,793,846,359,
129,656,489,895,419,747,935,151,630,194,750,065,808,418,653,220,708,816,705,
589,810,738,521,236,811,114,462,215,387,918,758,275,700,736,994,345,932,467,
105,102,683,481,709,398,588,813,606,041,195,409,393,811,173,827,840,859,320,
481,718,348,687,768,201,445,761,795,007,095,612,430,978,655,620,291,964,622,
027,733,148,960,194,130,295,730,338,309,684,775,896,612,961,416,077,248,231,
946,978,403,572,413,559,885,003,075,912,400,673,650,853,637,778,751,200,367,
630,478,480,512,341,620,559,460,130,771,810,330,614,301,605,154,240,712,525,
212,100,790,184,350,798,887,068,865,420,173,281,686,867,597,100,708,284,116,
929,481,263,682,900,405,281,744,526,989,212,854,325,208,258,620,475,717,860,
988,605,390,901,546,426,962,773,446,315,808,551,884,727,619,413,148,632,187,
581,071,799,839,303,760,510,703,245,048,215,029,937,460,841,757,510,321,467,
077,792,291,281,894,723,469,886,481,531,943,600,627,466,660,990,782,229,125,
534,597,826,408,034,680,519,556,486,332,894,075,737,675,802,892,471,433,913,
288,938,078,958,481,415,071,225,570,451,500,871,255,525,427,655,320,828,428,
441,152,402,162,225,027,890,095,018,035,400,879,544,708,680,331,539,662,461,
260,451,566,600,420,938,285,760,726,343,472,563,033,175,580,659,768,355,031,
338,488,496,294,309,411,012,090,162,704,449,752,113,867,583,775,517,113,009,
322,708,028,361,263,181,435,671,635,796,718,847,753,703,089,640,044,620,403,
820,188,959,354,084,466,703,292,404,028,877,913,930,251,662,587,984,635,193,
148,842,250,931,885,542,036,173,287,867,978,278,899,946,521,180,121,670,400,
444,764,770,171,404,118,994,881,643,607,442,099,158,912,962,849,873,900,216,
369,485,402,478,021,002,799,948,512,548,171,683,182,832,545,674,085,589,076,
644,395,284,489,392,124,160,853,138,750,882,023,398,702,199,891,359,022,868,
489,805,235,606,050,476,396,367,527,383,787,796,690,770,750,497,412,024,009,
455,306,140,437,658,139,635,636,858,152,613,083,015,317,535,591,341,563,208,
574,065,950,309,486,745,365,401,592,425,019,036,995,131,060,631,526,020,600,
900,552,729,780,004,528,832,958,872,096,113,204,219,092,214,486,395,939,265,
535,079,832,310,879,368,173,509,664,967,598,299,589,430,599,141,349,789,259,
897,558,772,267,368,157,266,089,235,034,084,008,819,353,196,713,940,004,401,
480,490,336,524,207,111,957,298,051,647,396,218,477,146,838,021,171,030,225,
181,994,599,479,088,555,838,459,644,434,132,365,621,136,815,608,955,062,172,
675,725,118,533,386,953,424,928,769,592,403,699,488,192,927,518,537,868,414,
549,601,481,527,916,550,112,991,600,729,150,487,409,233,640,417,884,432,149,
800,477,320,488,833,750,101,658,428,978,293,031,855,786,390,177,516,210,367,
013,830,883,737,984,708,940,640,227,517,012,741,827,205,845,881,285,052,741,
073,734,501,019,685,557,179,555,200,861,135,023,384,319,298,725,637,200,800,
883,675,415,866,493,369,117,571,596,898,687,482,217,664,406,322,473,646,113,
542,503,075,150,885,939,489,239,839,497,798,071,786,121,340,150,074,020,774,
181,303,201,629,204,307,046,446,200,952,024,216,709,162,504,878,977,876,733,
210,478,658,809,887,407,074,892,711,965,322,081,740,117,099,416,503,312,810,
545,459,078,658,631,239,486,550,097,879,151,202,843,735,936,689,725,412,189,
852,808,271,266,267,455,563,910,546,804,018,327,197,892,841,758,334,979,328,
384,130,819,948,578,493,776,247,320,454,271,802,748,270,094,943,464,138,675,
375,748,547,516,824,994,459,400,558,180,333,237,075,436,137,813,410,382,450,
668,367,657,726,116,359,390,706,770,776,794,863,159,302,091,330,856,346,430,
970,132,878,235,370,754,827,770,448,846,578,673,245,388,602,695,808,317,032,
325,366,914,831,268,409,776,204,763,482,504,831,571,235,270,366,856,137,915,
107,752,192,522,397,609,308,076,584,883,276,228,751,399,843,918,871,558,642,
448,418,877,084,546,287,007,995,685,523,414,313,720,638,680,972,778,479,191,
399,179,676,709,429,332,832,623,168,273,268,004,057,450,484,079,023,236,121,
324,105,324,788,573,102,403,694,710,397,665,373,353,970,101,215,658,955,404,
657,128,684,216,591,372,736,870,553,685,677,440,546,903,261,192,497,253,008,
394,761,471,544,070,514,652,244,951,327,255,263,744,318,721,093,702,415,739,
962,078,797,769,026,217,151,028,083,275,600,930,588,721,631,032,057,273,707,
491,748,413,073,947,215,301,115,894,896,571,771,486,988,746,914,134,068,253,
242,699,170,731,549,559,995,753,831,877,329,120,537,733,725,847,211,847,097,
059,333,543,651,027,032,995,657,239,306,045,965,042,147,957,202,798,761,140,
639,453,825,549,141,366,850,824,731,784,042,121,372,825,132,501,144,044,172,
413,442,532,337,917,099,461,713,237,097,359,894,285,107,227,088,509,144,569,
191,873,726,815,458,696,720,495,301,058,515,638,622,129,003,468,165,869,108,
879,631,720,133,854,689,385,000,904,465,724,803,788,819,658,875,743,377,726,
495,503,787,020,326,113,382,473,398,581,091,455,376,450,796,654,129,480,789,
404,876,089,533,843,513,966,761,963,435,374,483,888,971,642,336,554,064,631,
693,351,508,954,945,141,097,489,447,264,477,976,946,118,363,772,039,739,270,
736,268,618,928,031,141,922,373,660,907,050,153,882,068,582,934,444,903,195,
737,241,369,265,979,294,499,161,333,526,499,840,081,396,937,471,320,976,030,
326,636,459,849,247,261,879,112,891,387,757,866,218,706,683,468,796,907,183,
159,917,561,823,707,213,011,132,140,224,724,565,648,018,717,695,253,907,236,
072,349,173,591,399,262,921,215,084,254,291,492,620,244,334,438,089,344,510,
053,501,732,953,588,937,986,453,718,783,040,414,604,910,387,415,716,616,140,
629,671,672,363,384,453,102,801,583,767,610,293,866,532,974,106,583,811,740,
906,829,085,225,797,984,900,179,794,173,979,959,413,836,212,777,255,739,405,
940,503,252,861,292,456,131,598,789,387,516,404,942,550,572,489,176,085,221,
175,080,611,912,373,705,014,341,757,476,710,587,746,595,930,177,652,393,987,
947,333,191,505,997,084,156,832,543,555,976,784,331,664,626,747,750,317,641,
496,550,426,863,571,867,110,492,890,423,973,215,623,740,762,816,222,031,990,
143,310,607,641,185,220,869,778,901,717,828,742,880,413,356,507,746,964,859,
601,822,194,734,279,922,634,515,647,107,705,299,473,583,512,513,843,785,025,
239,034,104,080,714,018,840,029,777,654,516,502,689,163,062,834,448,585,795,
400,604,138,221,642,055,988,481,169,845,041,759,016,674,392,249,303,764,907,
741,521,558,788,130,774,692,610,079,036,293,922,653,101,155,222,874,897,474,
548,927,854,616,711,361,696,127,819,285,072,130,348,738,952,745,436,103,189,
798,282,262,006,356,329,845,018,225,672,913,073,600,586,337,810,735,849,832,
208,082,223,592,326,141,585,847,371,212,572,580,319,706,666,056,201,420,067,
917,279,202,623,374,319,011,804,319,680,025,248,344,723,946,571,694,136,344,
858,630,612,366,061,823,108,045,446,166,407,956,471,267,933,072,320,781,859,
921,126,716,718,487,880,356,152,252,722,729,794,040,476,206,088,254,623,961,
388,042,206,675,258,234,959,644,808,259,326,982,006,450,191,875,089,320,186,
667,372,249,614,788,458,882,000,490,515,121,882,358,309,390,404,492,406,795,
934,945,440,838,697,503,121,889,049,157,079,382,681,774,093,217,701,439,433,
666,791,095,166,862,813,345,444,535,895,311,349,939,145,368,075,593,541,475,
753,055,370,135,935,786,279,663,484,991,976,907,024,850,058,316,852,427,474,
930,337,177,411,691,022,756,609,651,213,941,551,890,232,446,906,941,741,139,
651,265,232,818,058,093,253,655,336,383,885,460,861,759,526,766,718,636,850,
586,917,440,643,820,048,066,672,930,879,610,649,170,034,264,502,727,697,194,
440,065,372,609,742,268,379,444,991,884,697,721,275,107,001,335,347,962,371,
799,734,618,582,833,826,531,764,739,994,187,313,821,941,741,295,537,238,143,
812,472,642,727,227,093,561,959,242,714,548,452,289,694,858,259,438,252,234,
718,134,600,385,875,145,255,792,626,031,227,664,109,151,237,975,038,511,002,
788,195,342,290,251,161,812,902,910,627,454,240,542,122,638,063,945,219,432,
111,001,476,982,048,120,645,596,213,210,211,552,768,562,301,809,457,584,127,
650,185,915,429,834,488,851,125,384,656,605,439,473,223,211,630,654,100,662,
755,284,947,151,246,575,794,271,118,919,492,914,176,589,407,266,059,085,708,
851,405,867,888,608,724,996,832,339,351,085,752,470,878,145,642,410,114,356,
532,705,773,569,106,434,322,331,207,699,287,511,844,683,858,805,803,059,760,
722,916,777,440,199,419,276,592,144,939,825,835,263,237,808,371,024,386,519,
443,242,812,902,358,044,042,035,870,291,678,305,247,778,685,382,039,907,744,
157,232,290,417,554,123,452,948,616,863,337,436,410,733,066,367,161,843,938,
055,631,883,889,668,612,424,717,321,594,815,214,435,578,980,034,651,035,079,
918,127,179,327,990,699,574,096,883,538,279,754,271,295,122,317,193,094,291,
419,447,179,451,211,508,323,041,301,768,051,354,391,219,911,380,724,845,470,
991,709,515,971,026,528,576,398,191,697,508,949,894,840,007,813,538,676,729,
117,314,101,991,139,111,589,761,048,058,694,017,625,492,041,128,478,582,863,
389,240,950,820,435,578,138,139,665,543,790,068,168,101,625,870,179,745,337,
231,968,606,032,555,846,304,298,987,510,070,668,903,070,656,344,918,228,471,
438,658,458,300,027,386,137,671,826,899,030,379,684,091,024,042,302,031,433,
997,954,392,554,580,645,851,362,748,104,874,479,525,448,062,991,627,259,516,
630,712,787,343,675,039,876,009,906,609,459,193,974,067,959,538,230,949,920,
444,067,864,305,024,031,070,985,849,266,210,093,022,989,572,461,039,892,514,
204,263,798,241,504,631,356,197,545,027,304,574,896,131,878,185,382,659,990,
176,696,878,054,311,902,461,531,806,892,333,002,814,112,075,026,906,917,911,
768,595,852,490,924,479,004,625,938,505,451,597,933,797,010,018,970,164,193,
102,224,064,090,549,873,609,251,234,973,530,501,083,632,851,254,338,004,938,
073,960,962,125,551,716,889,788,249,295,087,570,222,945,573,226,165,261,392,
292,139,346,043,842,011,821,941,172,979,555,014,451,744,616,326,742,587,293,
705,835,125,529,222,905,464,425,672,691,330,007,509,912,552,996,156,843,709,
610,616,454,574,259,314,774,982,740,601,804,936,668,763,595,678,063,007,305,
423,183,241,264,452,963,432,015,716,074,433,580,417,940,505,353,861,352,983,
648,087,196,086,999,890,755,584,123,173,888,862,911,989,139,494,616,950,532,
527,542,194,164,160,888,566,911,459,531,380,958,370,383,382,117,069,161,411,
353,315,428,655,166,927,382,549,345,241,801,483,402,720,927,155,220,348,918,
466,435,657,736,893,204,092,991,883,548,131,239,887,751,349,549,656,246,460,
184,083,962,977,287,894,185,499,361,540,974,544,619,578,176,628,856,821,558,
080,533,962,454,382,131,951,107,086,443,271,548,537,427,161,181,424,845,055,
994,278,276,929,710,305,438,697,667,734,162,510,094,631,739,602,912,719,517,
464,430,232,436,216,120,569,009,425,818,596,542,506,730,426,464,206,261,759,
630,308,365,838,841,506,335,651,595,235,194,649,038,450,980,165,987,767,470,
358,728,640,343,814,302,978,024,197,570,129,824,123,153,651,320,913,138,832,
038,200,315,292,838,569,261,535,794,148,068,372,927,424,566,013,737,514,173,
566,512,942,384,310,692,837,459,959,376,616,298,579,869,896,821,340,062,871,
218,403,179,933,454,503,058,974,806,737,606,818,370,164,894,720,820,324,640,
774,235,040,071,246,075,985,355,112,383,546,799,453,822,140,479,740,759,827,
276,772,742,299,437,053,021,604,978,554,094,819,402,671,460,929,756,318,796,
362,672,541,790,294,898,713,937,631,057,041,692,061,053,525,567,402,619,485,
873,741,510,720,169,838,747,126,203,083,227,295,978,821,029,651,086,369,229,
845,684,759,760,021,914,048,812,887,969,914,461,806,301,069,793,047,745,022,
173,480,913,632,414,536,086,283,788,060,727,117,246,793,839,742,282,423,550,
099,909,293,708,567,331,730,714,980,362,979,777,014,924,126,797,595,727,221,
450,640,485,154,781,184,037,232,511,432,004,211,358,339,519,751,660,394,853,
222,633,408,565,972,394,463,511,883,767,010,325,084,573,212,458,248,350,682,
207,705,486,241,898,085,697,976,154,186,217,699,694,359,856,670,161,624,814,
494,152,000,497,012,759,990,334,717,919,101,651,295,687,828,738,085,713,908,
022,044,237,949,725,025,096,219,671,189,582,015,237,880,312,273,282,896,890,
629,026,471,430,125,993,375,670,565,655,459,311,216,102,013,867,909,687,374,
283,787,255,682,487,206,634,014,023,236,292,417,578,491,457,885,845,181,963,
928,782,125,430,803,275,355,909,046,292,356,445,677,575,831,851,771,281,062,
956,814,959,825,800,093,122,332,145,442,633,678,213,983,013,614,408,079,958,
689,673,162,827,290,389,935,926,594,886,670,312,729,974,315,994,074,021,772,
548,102,458,797,747,901,371,326,991,567,767,114,732,894,025,060,210,179,173,
079,478,901,796,226,827,880,020,918,924,477,609,617,036,798,924,512,787,932,
720,288,371,435,547,023,163,148,705,575,718,848,762,995,458,448,128,949,664,
285,768,372,544,941,684,223,442,990,481,311,328,140,522,746,464,039,915,690,
290,147,039,814,441,596,339,020,331,327,530,408,397,410,819,400,997,314,076,
590,465,761,375,142,011,557,992,780,593,064,321,244,330,511,359,837,317,221,
072,522,708,344,759,970,055,484,562,508,248,038,239,573,510,913,435,331,061,
390,442,437,791,977,354,379,083,079,679,850,649,138,457,096,280,692,683,226,
667,571,586,967,313,105,634,119,075,220,907,028,228,095,884,957,101,381,205,
577,894,700,473,834,823,111,913,318,928,424,357,210,741,908,798,376,092,784,
753,532,024,722,345,433,625,798,126,845,795,083,921,402,199,558,973,540,029,
402,972,327,397,699,025,660,825,445,451,138,030,029,664,141,243,624,664,903,
599,267,716,200,838,533,927,652,729,825,823,918,917,193,676,268,698,757,968,
771,935,816,097,274,320,040,975,982,353,905,939,617,413,038,288,939,368,534,
422,936,297,045,756,821,005,766,359,445,876,187,816,545,055,983,048,303,088,
068,660,335,696,400,222,416,212,980,446,307,577,357,635,544,464,878,855,978,
675,344,230,661,102,496,964,255,496,306,713,320,157,221,625,864,062,817,401,
531,585,205,924,388,849,595,104,744,527,625,105,106,413,861,692,399,894,454,
572,882,492,614,686,677,263,968,112,008,841,536,431,059,011,446,331,243,360,
981,155,330,112,898,053,929,055,097,698,029,491,911,667,324,199,984,706,232,
247,448,434,689,154,157,617,371,390,748,064,392,777,028,533,650,851,236,371,
604,572,450,111,673,503,280,022,449,709,774,303,248,632,832,730,452,383,430,
324,797,573,245,661,238,566,315,110,753,548,166,623,317,979,658,032,883,461,
254,502,774,784,205,250,342,657,986,772,304,068,337,963,046,016,781,573,148,
447,867,337,075,227,289,634,629,347,504,592,024,171,485,519,080,972,263,168,
412,195,332,820,404,306,372,128,044,084,664,764,941,236,934,990,889,987,043,
240,087,518,506,806,277,287,163,705,980,572,983,895,176,614,955,965,439,978,
034,709,903,966,947,900,076,714,131,286,057,157,552,650,313,429,495,953,361,
671,547,115,060,588,616,110,739,918,862,019,040,447,081,363,006,737,814,694,
633,188,174,871,635,927,985,362,039,291,093,551,748,916,066,042,844,836,775,
559,644,237,232,359,600,286,078,867,198,254,367,634,881,722,235,144,047,990,
315,326,303,476,555,330,862,244,203,856,437,784,045,977,938,864,230,963,031,
278,706,790,692,879,012,864,363,881,056,037,301,216,446,725,741,185,597,351,
171,512,166,538,334,053,542,362,815,630,318,399,654,390,240,560,318,317,810,
983,074,162,686,168,615,923,470,948,877,335,597,139,317,096,897,907,376,773,
689,576,824,782,062,792,435,441,734,195,752,916,614,108,421,242,459,811,419,
885,039,019,455,779,452,769,167,302,225,231,041,402,486,403,040,172,104,226,
896,770,995,564,912,418,225,225,539,891,219,913,071,971,159,573,620,009,240,
384,758,232,297,931,256,629,943,156,317,791,775,090,288,727,686,733,007,911,
121,666,996,248,960,115,865,464,285,868,914,092,554,410,406,124,183,583,679,
380,315,266,156,789,418,114,070,402,564,229,552,480,685,273,944,931,265,927,
131,584,387,146,186,229,264,737,581,969,944,482,720,627,561,527,102,623,260,
689,419,276,943,807,516,649,490,974,748,900,946,266,085,737,740,369,440,582,
862,532,539,259,103,219,826,296,874,639,249,846,477,967,985,324,544,298,545,
084,707,473,041,384,307,187,012,696,036,532,980,512,300,442,910,557,639,642,
631,610,321,237,429,006,912,783,890,254,855,198,021,787,509,967,626,954,725,
121,809,285,524,098,364,396,694,426,883,311,422,865,239,496,267,327,948,180,
670,693,604,037,138,789,381,392,377,814,779,949,184,488,754,715,059,905,352,
035,222,434,566,438,812,627,854,012,456,025,505,486,642,887,169,341,286,737,
668,466,045,732,484,656,627,789,211,293,826,314,945,602,404,528,962,793,118,
495,437,051,863,615,596,892,835,332,138,665,533,269,619,948,623,622,548,473,
615,209,749,294,811,748,047,706,474,086,306,272,344,887,670,209,349,659,409,
315,866,306,096,771,851,924,077,635,219,342,448,028,846,714,733,656,500,897,
380,771,187,527,470,243,748,429,818,856,327,113,336,128,853,215,240,930,153,
355,967,176,090,483,290,336,774,174,939,830,406,620,598,178,117,610,295,762,
606,228,286,564,867,972,301,259,201,098,238,319,342,478,220,070,539,786,203,
786,316,283,771,897,706,451,013,433,829,806,580,711,139,963,086,754,663,989,
173,702,637,288,713,324,063,627,098,506,227,303,664,929,577,897,064,920,359,
228,951,511,257,410,507,541,946,952,033,694,450,909,042,661,964,449,641,348,
540,893,353,982,126,428,546,930,384,300,905,942,962,167,990,824,715,011,422,
242,412,192,680,164,545,509,119,462,140,895,643,057,277,342,918,953,119,334,
455,058,507,200,502,261,348,717,173,266,617,101,615,364,663,773,826,026,612,
146,238,791,402,272,661,190,917,741,354,495,435,332,439,685,977,353,461,055,
129,385,912,776,415,465,630,728,117,499,258,134,526,279,797,077,407,934,013,
739,169,813,386,077,553,625,332,003,901,844,119,802,663,868,988,668,096,161,
686,190,593,962,325,499,795,471,913,975,294,403,350,749,290,661,590,685,695,
132,538,117,758,776,490,595,449,608,432,623,665,367,952,763,526,595,882,059,
629,698,723,231,339,316,119,561,706,762,741,711,748,046,404,328,103,153,721,
977,951,950,420,573,856,461,054,777,704,779,880,820,319,615,609,305,896,158,
628,013,104,214,161,495,932,295,752,408,934,169,644,099,796,847,853,417,165,
919,321,333,356,143,310,349,247,445,164,137,002,688,771,227,989,470,870,676,
699,619,279,981,021,029,245,553,700,950,320,095,331,789,591,669,631,690,677,
368,943,848,126,544,038,407,422,658,310,921,414,059,168,200,531,163,044,925,
407,297,624,573,868,915,265,176,306,459,869,956,044,549,271,384,142,379,209,
656,439,152,690,999,829,597,135,692,216,708,570,956,419,134,840,735,502,549,
624,171,261,661,859,020,812,069,418,026,220,367,232,825,181,783,239,519,185,
319,131,190,185,672,273,412,666,310,717,956,795,804,485,431,003,247,164,439,
689,693,384,635,877,863,771,010,427,060,672,833,259,757,562,594,897,609,414,
589,281,250,819,929,934,095,554,508,297,736,789,494,144,659,483,417,575,195,
984,311,330,479,139,437,326,416,445,460,924,483,021,365,768,588,983,685,416,
286,801,414,432,223,430,530,216,697,491,486,161,499,361,036,100,305,606,813,
960,383,869,868,818,929,358,397,040,871,910,525,956,932,235,633,908,038,474,
600,070,610,320,399,869,914,201,745,901,030,869,052,667,521,901,999,106,709,
289,509,837,843,828,072,543,712,853,455,103,681,797,904,988,522,794,373,889,
117,976,789,827,547,579,086,487,336,002,279,839,459,615,765,195,424,098,308,
136,035,958,373,752,526,743,274,527,654,350,948,705,587,625,695,588,914,946,
497,954,582,613,003,039,233,237,786,356,220,886,308,337,735,146,799,696,992,
660,636,719,011,950,552,430,544,764,656,299,273,556,506,843,874,342,416,070,
983,434,722,643,086,328,731,939,401,927,729,432,179,086,175,453,744,209,156,
575,309,832,949,707,806,183,437,088,529,133,024,292,454,880,208,220,722,937,
371,952,208,948,658,006,982,166,151,670,169,808,607,215,622,552,650,732,218,
769,192,228,218,627,972,287,372,268,872,502,501,183,932,302,529,342,642,786,
648,275,037,893,461,845,151,914,238,250,766,860,344,179,826,068,689,235,258,
874,983,314,775,741,387,378,634,000,057,078,681,495,678,313,827,214,480,574,
954,791,721,861,975,843,057,463,191,721,052,773,146,898,135,631,958,129,598,
986,495,824,711,081,595,129,461,155,140,769,371,420,126,026,250,081,916,161,
334,719,548,893,026,419,171,278,459,174,925,375,797,895,486,442,537,277,931,
960,713,533,248,151,621,065,164,462,912,154,775,017,384,654,935,913,724,252,
185,981,926,732,364,559,317,363,340,756,942,356,686,516,628,670,485,311,460,
111,866,134,639,409,638,138,944,841,888,639,338,524,709,710,805,244,073,195,
480,331,764,940,896,711,799,704,676,681,786,022,111,383,123,052,978,909,639,
178,162,779,803,189,845,315,860,762,070,445,295,812,868,435,697,253,968,285,
969,016,808,821,827,190,061,761,780,463,694,637,149,844,802,245,905,584,201,
502,647,424,628,273,283,379,881,972,375,481,909,127,099,119,665,589,088,349,
054,409,995,730,872,308,492,538,324,880,464,832,752,452,473,568,991,484,807,
664,683,193,049,201,908,029,635,106,747,829,293,784,654,359,744,553,558,402,
565,095,671,334,221,241,466,481,956,094,743,754,508,613,002,204,507,466,230,
945,943,678,301,087,235,054,996,290,987,631,125,848,232,562,458,924,041,624,
022,522,553,811,213,145,624,654,378,696,728,542,220,187,471,630,991,656,572,
342,654,368,973,290,182,860,047,369,945,727,909,493,191,936,206,226,317,651,
186,194,834,760,865,831,007,902,059,473,949,855,975,695,958,516,204,851,808,
933,672,349,301,626,331,692,009,015,292,389,864,449,568,565,857,716,649,451,
985,549,671,598,993,180,431,653,943,304,882,482,183,504,325,770,252,710,557,
573,999,557,183,715,750,911,412,143,689,421,398,855,576,858,163,827,539,224,
020,120,064,228,547,512,579,340,498,169,718,391,405,628,519,674,079,937,380,
086,826,989,071,926,558,355,041,985,348,208,211,274,011,807,060,999,056,357,
610,143,853,735,584,463,314,292,645,696,914,784,202,436,592,832,674,073,441,
104,271,477,931,734,151,268,912,966,385,187,300,743,335,743,239,470,264,637,
949,915,071,717,427,197,241,648,632,689,492,126,958,907,535,798,135,528,736,
472,373,463,743,764,401,482,100,039,144,826,647,085,079,332,963,569,539,286,
980,520,359,888,017,243,135,839,715,860,633,300,722,552,112,567,954,490,141,
147,865,368,817,119,455,217,762,071,779,856,839,309,805,682,890,392,546,252,
761,567,358,214,224,256,607,789,305,083,616,130,579,673,063,842,680,639,366,
983,646,396,151,217,423,766,157,544,753,013,644,769,285,556,691,390,518,895,
024,674,975,955,585,946,244,048,078,897,573,207,445,506,319,654,387,239,761,
719,806,641,276,714,093,213,174,246,682,527,521,451,259,188,982,150,100,030,
392,536,630,571,491,149,221,793,710,200,618,499,255,377,739,905,805,459,243,
192,539,449,291,178,638,916,302,965,161,543,759,801,846,603,657,917,900,164,
788,750,139,712,610,518,744,706,810,577,887,764,530,021,224,857,594,386,076,
488,162,822,022,162,404,529,356,052,995,043,253,660,549,605,306,867,079,984,
813,353,216,975,791,690,591,148,572,995,062,260,755,620,906,218,965,433,269,
679,486,776,482,521,542,435,268,287,637,769,260,787,111,861,960,822,719,468,
496,269,439,010,356,817,317,173,337,505,779,420,550,101,653,672,424,948,251,
579,629,976,450,765,593,437,135,401,373,869,726,674,011,517,814,816,944,195,
809,204,027,712,211,243,878,846,130,532,214,376,734,215,760,992,369,601,911,
692,372,967,352,300,932,157,689,606,222,732,195,237,416,853,090,441,799,271,
713,999,166,248,338,464,199,212,151,778,134,414,153,452,684,482,672,541,236,
767,181,254,605,952,914,928,268,106,852,050,862,086,610,943,919,808,260,681,
114,177,488,634,507,152,828,583,091,175,110,048,948,653,406,511,051,973,453,
875,137,476,006,882,573,385,945,220,778,571,820,478,710,280,609,034,026,646,
698,029,667,588,021,426,189,067,265,607,502,399,503,215,649,265,689,088,804,
352,597,012,479,892,025,180,149,317,987,288,295,738,600,807,099,918,118,896,
511,061,603,784,926,234,644,018,028,124,238,402,986,749,534,994,323,595,475,
661,724,789,392,226,085,672,010,727,374,496,538,642,439,258,315,349,013,286,
406,287,421,685,749,284,090,106,845,088,065,670,179,144,987,374,298,389,823,
817,957,266,782,415,571,971,343,392,821,018,153,603,135,351,407,383,687,650,
706,978,600,784,630,519,917,114,068,001,919,381,341,644,510,784,770,301,449,
927,838,329,963,809,093,463,526,680,692,531,165,638,438,067,603,054,609,378,
548,422,417,445,117,420,315,921,800,134,595,202,809,164,841,638,205,134,529,
474,629,315,020,580,240,019,995,590,307,360,583,382,808,405,399,560,365,225,
308,494,976,056,764,175,152,965,377,230,004,402,312,943,878,440,056,297,935,
423,175,576,439,177,922,652,974,033,246,996,409,534,421,402,128,278,144,206,
721,972,049,380,582,801,286,199,776,774,073,592,405,854,905,245,361,173,832,
844,265,158,838,657,715,158,742,567,548,219,171,791,378,340,255,146,857,621,
032,110,029,562,022,872,969,834,386,668,390,953,311,748,673,060,463,996,377,
067,024,558,276,251,807,193,237,786,581,630,561,327,038,412,061,430,650,736,
965,218,016,755,773,300,584,624,280,933,352,968,128,538,604,733,734,482,545,
718,797,635,116,406,044,738,423,217,554,328,379,665,947,585,903,462,149,997,
545,260,257,968,399,144,903,231,729,950,262,718,026,074,346,019,795,039,285,
519,681,015,958,286,324,021,819,369,054,417,383,859,941,412,279,568,893,184,
978,993,947,883,535,833,040,566,124,775,057,299,760,065,305,770,201,636,440,
296,419,215,504,854,940,277,329,695,840,442,569,409,825,406,226,527,848,267,
543,020,172,272,589,382,831,029,937,524,109,802,919,707,788,026,124,462,077,
330,522,501,152,061,340,521,573,736,450,282,838,538,785,919,735,691,923,431,
413,838,991,985,301,006,745,337,992,688,230,934,419,208,706,480,820,843,673,
869,435,673,846,738,040,487,989,496,366,597,932,828,540,724,792,726,913,790,
251,950,145,082,488,253,194,797,922,653,322,765,672,553,079,977,763,794,658,
994,508,847,593,164,280,816,167,238,477,839,633,617,895,623,823,381,000,866,
900,351,160,242,795,893,787,653,733,585,205,212,313,486,647,581,439,250,862,
193,906,745,312,005,560,108,399,036,058,584,359,495,081,082,186,550,706,603,
873,391,851,368,531,394,139,334,845,379,246,376,451,728,575,937,059,160,015,
379,564,421,577,986,717,715,518,179,508,803,274,381,491,478,171,130,558,925,
905,144,081,494,500,361,531,298,886,806,228,115,223,674,880,572,940,450,668,
521,847,012,735,368,006,684,343,532,161,927,250,419,250,535,712,119,593,458,
941,623,212,459,614,970,850,412,917,366,978,462,237,156,152,694,479,568,709,
898,230,327,843,714,222,360,439,743,748,495,440,613,658,490,576,263,829,650,
655,365,627,200,727,961,854,259,120,314,111,610,492,878,368,632,608,067,964,
141,047,633,881,044,827,144,955,969,947,064,886,859,395,889,438,235,381,749,
795,534,769,189,669,677,266,243,197,590,135,260,775,879,127,103,241,573,879,
877,523,022,350,307,802,363,767,445,961,981,348,334,545,104,327,171,031,569,
978,760,745,932,675,396,275,778,625,205,613,173,894,165,252,292,700,360,892,
355,592,641,806,913,390,712,097,269,687,835,269,646,401,575,046,983,532,656,
166,287,766,638,336,777,774,034,317,626,537,488,104,591,998,070,481,274,615,
555,994,292,304,310,032,376,479,869,742,205,087,101,032,845,262,630,246,883,
395,996,491,794,849,159,644,925,791,430,051,104,995,879,535,958,447,938,839,
051,170,742,082,180,538,104,036,960,309,984,099,362,599,376,628,672,511,349,
120,182,631,390,023,014,529,697,909,287,682,676,392,418,511,358,935,801,091,
343,136,588,542,730,173,479,634,720,369,658,597,563,279,670,997,656,912,730,
001,102,032,100,080,623,747,063,977,888,472,619,086,556,503,679,175,434,378,
230,120,681,780,227,750,123,106,624,776,491,130,330,909,192,366,636,534,713,
349,936,386,466,884,529,649,998,323,272,567,902,613,658,697,079,429,805,413,
565,971,731,831,388,707,520,948,257,270,801,578,356,523,907,613,134,307,812,
468,551,283,327,518,722,013,938,406,648,060,170,670,202,214,240,624,906,513,
280,951,275,662,752,514,975,406,881,168,741,066,874,165,368,689,249,685,191,
940,389,147,967,982,088,414,836,342,848,873,011,480,994,578,747,671,909,699,
431,482,586,106,199,766,033,061,230,863,648,427,916,271,251,573,561,194,475,
210,747,223,344,003,126,526,102,613,968,000,149,565,150,885,506,442,206,588,
102,536,816,200,010,711,337,679,677,671,634,087,646,254,993,072,610,778,055,
408,446,441,970,375,981,046,088,496,658,199,153,370,762,595,594,136,813,535,
588,919,054,197,195,798,463,217,100,399,374,770,582,568,607,306,997,672,688,
902,457,240,486,356,354,775,901,390,519,987,860,051,193,209,751,086,361,842,
554,262,244,014,954,430,937,819,435,368,587,435,361,693,948,094,580,451,927,
860,690,271,036,327,307,106,596,918,567,910,242,754,669,471,596,187,449,148,
424,285,985,682,279,152,210,257,316,604,840,726,158,458,409,940,178,940,375,
579,210,162,881,049,889,286,541,717,743,469,666,896,838,412,239,308,461,845,
827,590,108,042,649,390,427,089,214,440,639,072,246,585,942,675,519,262,845,
737,491,296,816,539,014,455,319,193,479,606,709,264,080,967,181,676,420,832,
609,511,018,538,882,363,724,869,110,276,752,039,476,653,119,633,384,062,399,
471,536,430,498,312,347,489,254,131,557,513,009,844,169,136,345,696,849,596,
320,685,894,846,918,175,380,485,780,564,818,910,429,585,545,486,992,125,540,
064,335,316,355,411,140,065,098,441,104,417,904,861,737,685,706,038,415,000,
724,345,666,823,069,352,189,646,970,102,458,288,713,483,900,226,512,015,247,
931,498,153,738,562,518,413,178,136,703,899,477,522,587,267,298,301,363,455,
791,786,822,650,077,819,872,594,888,767,487,206,159,974,021,860,195,449,922,
026,123,987,064,454,558,765,355,375,170,621,492,519,667,851,398,846,416,254,
234,707,626,611,946,454,519,695,237,544,648,930,261,568,318,472,017,529,411,
547,855,342,613,631,627,696,641,606,356,363,522,596,057,103,028,839,008,848,
285,375,400,988,119,164,670,213,466,447,480,956,758,551,829,633,051,950,169,
878,037,736,164,921,247,343,525,674,856,186,801,637,667,287,799,244,024,180,
961,293,377,285,448,927,796,008,778,320,423,698,219,231,972,916,174,885,183,
379,258,080,933,483,629,931,775,128,019,015,600,734,107,152,972,835,878,091,
652,470,399,449,635,826,809,093,084,249,713,607,093,061,905,032,238,972,214,
184,674,211,471,263,722,891,934,548,018,944,952,952,051,513,935,481,401,819,
523,971,438,985,357,076,389,938,631,062,869,163,240,668,220,286,888,315,510,
651,452,010,979,056,677,103,324,976,095,985,985,158,271,886,684,301,115,340,
113,370,108,084,888,161,344,549,445,649,246,854,077,776,688,443,008,127,719,
067,008,893,117,717,637,491,830,675,633,757,775,223,064,301,992,836,421,940,
692,767,342,915,113,397,750,213,045,789,983,834,957,352,891,459,345,514,324,
250,701,660,420,997,835,881,374,563,743,451,263,806,010,606,339,826,169,381,
907,021,206,718,189,611,549,072,666,039,769,608,421,104,832,429,318,521,541,
798,000,409,427,560,980,561,323,108,088,326,500,890,350,092,766,146,804,990,
790,773,061,358,278,980,936,648,189,552,785,862,764,289,239,797,279,068,563,
540,393,266,088,445,916,076,429,511,921,029,669,759,363,674,580,347,714,980,
613,929,952,650,105,686,522,394,356,213,612,128,909,580,485,065,582,988,488,
216,600,301,973,689,331,056,485,780,822,537,741,119,463,798,286,448,794,102,
582,979,916,815,330,176,056,102,131,222,955,598,655,299,563,378,600,628,422,
793,514,863,872,859,954,107,796,572,244,908,364,845,343,372,452,876,022,278,
035,354,711,206,628,887,368,226,333,970,102,137,524,314,912,537,277,734,620,
073,451,623,575,996,225,817,832,561,489,584,575,716,406,281,183,270,534,181,
422,847,862,511,070,824,724,910,959,715,298,995,731,507,560,609,339,903,741,
727,101,695,876,681,501,641,777,562,748,607,420,313,134,902,518,110,575,102,
431,159,294,311,831,132,092,358,879,064,869,285,552,428,245,007,578,631,247,
837,899,761,548,022,717,496,048,106,441,606,124,906,509,856,575,898,159,117,
572,882,102,072,327,872,969,236,282,682,986,655,530,327,216,223,312,177,312,
381,240,195,087,082,985,452,585,649,587,654,649,816,876,782,601,755,230,809,
463,930,205,626,608,424,062,642,420,300,774,148,738,258,239,052,563,196,760,
301,178,829,897,623,989,018,839,581,552,413,365,956,351,728,574,501,400,583,
607,359,500,243,260,004,505,371,378,151,769,576,600,293,377,671,604,135,800,
444,039,611,495,612,834,143,584,996,950,775,520,327,299,049,712,758,858,833,
693,163,319,688,111,103,057,849,894,045,160,077,804,446,646,194,567,402,069,
093,506,860,284,195,438,935,838,564,060,658,479,826,396,648,887,074,676,162,
162,962,956,372,919,698,772,454,644,410,237,783,450,678,522,671,718,588,836,
645,407,939,326,323,050,836,383,041,802,210,828,276,811,524,030,171,984,623,
636,039,508,820,664,574,455,212,666,424,491,209,292,496,314,922,626,017,447,
600,014,087,887,922,705,941,258,919,743,167,054,168,095,477,024,440,071,453,
002,219,973,439,241,622,971,990,196,652,765,188,384,504,290,924,433,253,691,
609,085,176,310,095,117,626,327,022,032,302,789,181,841,355,972,826,559,160,
937,866,847,000,384,001,469,794,849,364,800,744,912,623,621,569,933,455,953,
264,354,255,522,922,478,998,548,213,759,416,940,656,359,920,425,480,011,861,
722,339,980,495,782,594,674,784,197,395,221,273,178,116,570,125,688,268,064,
005,422,395,316,263,914,167,303,790,739,603,344,159,269,813,104,204,297,991,
053,379,033,762,703,146,461,569,889,853,142,570,683,975,623,294,543,382,897,
066,260,520,783,618,290,837,671,071,244,697,644,581,357,189,774,667,216,506,
919,715,691,218,629,729,687,893,864,283,752,734,323,338,682,884,268,179,475,
527,503,616,399,352,823,818,920,592,648,666,306,470,036,698,681,614,413,128,
449,830,927,314,929,323,162,881,738,534,733,814,523,175,012,222,504,780,000,
767,667,062,564,712,084,508,149,181,528,265,846,516,577,341,011,387,593,558,
687,613,583,524,433,325,164,758,240,346,376,906,916,269,857,234,496,676,988,
057,019,136,122,266,728,405,410,568,616,666,278,744,664,046,038,801,756,194,
936,705,346,858,886,466,267,307,024,148,360,487,146,977,463,980,802,676,441,
792,750,708,519,120,703,248,745,782,682,193,114,030,068,521,921,339,055,622,
101,292,885,499,851,152,898,015,640,792,184,950,276,638,816,690,112,947,979,
363,577,531,831,400,083,847,555,816,382,197,984,214,675,301,990,455,157,773,
851,610,596,473,678,834,806,500,513,817,496,061,388,306,189,280,221,370,116,
417,611,935,444,236,104,929,279,620,656,339,005,256,150,183,294,425,357,644,
874,104,278,463,865,302,573,594,710,640,899,050,722,845,850,698,474,397,603,
750,851,207,337,546,212,218,487,984,891,532,316,653,234,688,241,940,870,092,
157,579,495,484,017,413,367,639,274,344,211,825,328,455,725,683,099,791,448,
127,658,390,941,373,612,512,150,669,619,885,617,616,063,526,149,547,882,671,
299,650,410,689,129,139,244,418,636,861,854,114,979,928,766,385,462,330,576,
418,390,148,508,669,891,956,576,534,209,560,584,621,858,922,603,891,035,933,
371,397,980,632,369,615,249,613,262,655,007,505,281,482,028,137,375,235,222,
371,737,505,473,083,119,149,716,364,569,538,354,880,191,435,101,537,847,973,
574,021,117,368,293,460,663,918,362,248,360,121,066,001,926,745,540,266,190,
696,905,224,133,831,690,487,397,397,367,358,392,163,992,618,556,803,315,706,
244,393,400,961,488,103,938,711,188,771,713,508,822,964,184,491,113,462,774,
543,189,262,926,100,134,514,717,927,202,476,449,201,963,954,169,475,482,420,
788,464,593,265,011,016,537,792,580,668,159,210,581,585,881,522,978,620,132,
227,074,658,636,831,026,515,754,835,334,752,679,105,988,149,592,262,479,918,
378,600,968,486,318,436,569,847,483,863,404,696,445,236,443,502,719,573,245,
930,142,887,749,873,762,321,525,189,621,285,651,691,859,415,220,013,104,883,
722,030,675,435,020,551,040,340,294,335,592,602,179,942,072,908,918,422,954,
923,286,908,649,229,175,584,667,662,648,288,855,298,078,426,877,645,281,156,
884,109,308,356,021,106,231,694,475,707,524,378,302,633,217,740,591,106,175,
353,355,452,684,455,963,526,775,801,363,628,085,062,209,436,934,064,754,532,
781,821,030,668,443,782,252,074,017,438,910,703,811,223,013,139,610,700,098,
137,584,105,376,298,250,186,728,824,906,556,331,527,517,840,641,249,757,379,
677,007,501,091,873,867,012,465,544,183,821,999,660,755,839,804,686,220,474,
335,522,322,634,291,749,916,477,230,425,903,484,297,404,573,041,466,158,063,
286,675,989,869,411,079,293,950,973,498,408,571,550,262,771,964,087,495,874,
695,734,843,899,847,253,175,104,264,265,446,277,741,138,068,944,876,654,918,
572,799,792,248,764,701,236,454,057,914,241,591,810,070,359,571,412,609,571,
550,565,642,989,998,884,263,176,084,153,900,741,023,367,653,842,758,730,983,
037,723,350,527,902,392,382,074,991,420,975,385,830,242,219,959,185,029,980,
452,138,429,366,994,327,586,263,258,886,498,512,364,288,415,386,136,535,472,
661,241,429,922,876,251,965,973,026,374,499,385,461,569,634,476,728,657,190,
610,534,185,120,675,514,711,854,959,955,525,051,071,632,378,777,240,494,408,
171,724,889,977,088,955,904,880,209,404,694,689,830,356,928,093,237,052,827,
591,488,583,567,815,558,736,656,531,384,357,619,465,293,121,459,490,676,264,
635,648,756,228,214,822,293,189,376,994,262,765,062,444,460,848,435,340,400,
972,479,422,559,811,749,236,050,834,422,397,978,688,800,490,950,985,926,038,
450,109,494,866,812,677,945,278,334,246,478,304,173,952,653,598,226,539,434,
189,534,270,702,261,986,928,816,766,000,478,335,041,908,794,709,923,813,518,
754,838,332,506,311,223,000,769,766,327,851,129,887,292,517,338,548,943,695,
578,249,716,381,352,813,548,974,691,377,462,132,898,211,064,021,327,100,438,
396,893,070,322,700,352,282,895,657,999,297,138,298,494,543,654,912,457,076,
066,807,918,867,444,564,228,348,129,854,004,110,983,186,150,207,328,166,285,
612,599,904,856,616,333,089,605,797,710,675,116,051,994,885,423,988,675,297,
206,048,927,338,529,573,611,438,577,269,606,322,001,547,444,579,965,424,240,
833,495,188,542,385,699,404,265,064,424,489,825,763,951,482,137,784,742,889,
510,451,100,342,213,716,512,143,637,784,721,690,372,666,778,137,943,676,858,
589,111,920,100,635,566,474,204,264,550,999,642,935,792,680,481,204,108,290,
502,791,795,878,436,169,722,795,740,711,432,425,024,503,655,984,375,801,668,
166,564,858,993,998,595,400,097,546,590,535,381,452,804,255,348,828,784,914,
458,835,906,869,072,292,318,206,032,819,704,194,174,089,155,993,446,156,272,
740,610,709,361,064,310,991,504,353,238,923,771,924,809,012,616,589,487,613,
393,653,792,430,517,040,273,818,843,783,885,321,539,968,923,649,627,251,770,
093,181,112,019,258,046,101,502,333,335,175,967,681,723,910,858,102,425,626,
772,372,187,230,090,501,132,048,864,077,432,227,292,274,255,378,179,031,739,
640,516,736,046,971,513,979,663,844,253,127,187,178,600,317,702,743,935,627,
828,385,369,187,310,776,771,328,397,589,149,711,641,395,551,787,941,242,721,
041,008,700,387,450,831,258,919,211,456,392,214,923,931,964,682,045,409,004,
669,780,590,615,962,227,750,774,301,079,607,494,961,194,965,555,930,612,839,
868,744,932,359,214,756,673,550,928,252,613,468,637,913,723,713,973,993,769,
013,790,101,720,573,295,889,317,125,559,648,337,565,011,681,960,527,992,880,
532,361,658,533,322,579,091,485,532,159,745,891,360,137,317,346,114,899,984,
828,271,728,948,870,778,502,010,775,606,238,210,427,129,484,739,126,829,176,
465,939,999,839,567,890,757,591,182,711,553,497,932,418,216,763,629,979,551,
656,801,544,581,263,949,199,021,295,707,967,907,486,015,575,663,639,033,112,
279,309,074,822,497,914,929,559,176,900,065,917,608,041,534,700,775,124,373,
971,205,325,022,885,238,379,946,039,185,563,878,710,046,290,752,865,769,759,
533,565,300,097,924,109,928,631,004,513,866,868,075,210,133,007,537,598,331,
679,076,870,156,315,193,494,108,441,150,252,862,855,330,919,077,401,976,885,
226,984,409,652,601,334,501,530,620,717,063,533,963,503,123,801,749,867,776,
293,544,419,627,834,731,072,816,865,076,148,752,117,999,925,258,155,510,435,
111,593,985,140,627,469,866,610,201,465,227,171,475,562,839,382,386,779,803,
990,625,851,182,613,062,115,816,335,204,627,826,450,348,253,297,555,238,447,
170,784,288,872,883,703,962,850,537,044,261,210,918,536,480,249,933,887,252,
490,766,214,483,218,745,224,840,696,799,354,178,873,938,579,894,229,681,885,
193,653,239,791,460,134,537,439,636,699,779,649,962,872,185,277,119,503,400,
889,344,120,012,701,763,770,693,055,835,666,171,770,345,717,306,641,132,740,
015,224,739,298,897,390,517,852,055,604,390,368,405,057,713,520,393,882,430,
664,102,199,315,941,730,298,067,735,620,791,270,392,305,660,902,788,087,342,
911,609,568,679,614,488,326,383,847,809,070,646,396,423,239,530,986,684,816,
829,360,842,384,307,088,073,846,991,773,772,918,993,712,429,708,358,165,325,
843,824,748,130,479,370,354,254,858,127,163,719,944,221,652,807,753,892,037,
268,730,195,338,787,395,486,328,403,001,479,414,410,739,928,320,749,749,445,
456,233,142,853,342,784,184,342,654,271,607,281,575,528,185,054,113,039,197,
524,134,033,218,789,161,832,602,300,751,276,728,890,588,373,417,265,779,643,
312,625,488,149,816,167,221,228,073,626,187,000,342,254,555,910,178,099,113,
469,265,512,135,012,970,883,450,817,321,674,095,199,314,809,706,351,437,283,
749,675,308,359,623,732,405,010,599,549,735,130,901,336,119,329,387,957,052,
466,646,408,275,522,849,907,876,528,872,246,237,768,023,179,164,668,233,049,
265,831,621,190,421,322,013,973,491,678,234,032,549,186,371,177,456,734,919,
356,528,785,336,637,621,566,501,704,411,267,776,957,126,303,978,830,277,781,
054,171,845,124,326,430,154,402,061,434,033,920,211,420,822,478,762,663,184,
553,097,901,116,818,598,401,000,328,720,818,909,923,914,897,193,242,563,054,
691,237,752,162,527,238,897,344,552,911,996,989,883,031,025,922,182,069,691,
148,759,199,680,133,625,918,517,806,112,930,671,147,457,876,672,961,710,769,
406,533,956,238,155,609,701,511,098,005,178,743,586,910,909,052,662,774,905,
598,750,892,415,648,175,036,852,326,031,256,859,405,350,442,994,534,740,725,
786,817,494,571,834,325,522,965,059,965,221,179,591,984,490,034,299,738,939,
784,343,883,409,740,769,428,125,560,001,932,834,904,098,873,912,591,590,543,
590,252,722,417,334,810,982,100,544,997,386,354,618,366,562,798,393,111,554,
100,045,068,922,359,253,763,483,469,173,796,945,847,043,853,099,684,199,378,
872,481,934,307,300,929,276,244,115,410,554,913,929,629,727,033,577,560,993,
850,220,240,686,735,968,462,555,766,999,804,213,826,624,326,001,363,010,715,
702,821,333,608,747,521,127,833,243,735,241,809,583,833,886,023,575,719,843,
433,600,676,168,266,943,331,073,520,595,623,304,095,323,701,543,002,636,020,
083,434,142,968,654,122,477,505,712,005,187,967,018,730,086,248,333,673,071,
602,864,796,771,370,592,610,575,030,274,370,151,018,259,854,328,291,879,978,
570,439,385,006,314,894,772,441,552,338,525,292,878,282,683,524,532,973,574,
057,326,334,841,184,690,395,479,587,162,498,649,680,539,409,463,098,324,326,
184,777,254,988,948,484,914,815,573,058,627,149,513,057,709,788,783,576,228,
034,437,438,959,497,944,726,613,268,525,454,233,340,038,113,489,265,533,577,
166,552,211,828,952,843,273,142,357,122,521,762,398,970,650,601,333,272,617,
039,842,269,601,233,170,431,277,194,363,475,615,014,875,125,870,229,476,858,
795,219,232,169,780,027,151,593,944,729,527,090,474,664,370,159,547,118,538,
949,584,020,178,948,311,179,569,229,859,249,059,513,219,525,951,314,795,228,
574,622,657,835,014,665,225,512,509,267,707,256,271,542,762,582,250,178,194,
466,503,956,427,578,162,276,737,645,006,804,489,522,905,903,956,580,827,476,
711,705,638,740,500,243,935,814,952,246,890,451,948,913,830,565,343,528,208,
422,118,408,706,922,992,610,818,881,530,797,331,711,512,685,596,248,724,681,
036,424,759,835,965,617,770,957,938,456,434,724,988,396,639,997,116,133,142,
250,742,926,753,774,006,071,999,049,010,589,758,166,879,782,362,593,439,081,
447,486,123,049,157,419,780,997,707,489,916,099,900,656,861,611,755,349,454,
083,359,844,167,217,631,190,544,393,486,104,835,159,705,179,813,297,054,013,
240,647,551,012,869,456,578,742,284,463,373,996,586,716,412,718,697,226,416,
997,012,148,041,069,053,451,427,548,094,802,983,434,589,623,811,856,706,076,
803,949,525,549,127,589,185,946,177,991,016,257,415,676,735,797,485,964,319,
150,157,215,863,260,236,158,286,992,878,122,173,938,122,196,711,325,847,071,
352,012,794,482,935,508,421,238,026,122,885,857,194,360,719,707,403,793,534,
223,819,422,808,565,407,876,782,148,019,971,551,528,669,276,756,491,710,603,
574,283,978,667,708,754,699,810,413,090,088,575,862,907,131,481,037,469,771,
489,029,839,179,999,449,475,354,365,888,563,093,630,361,481,055,186,118,588,
006,299,976,172,615,866,327,254,640,778,236,840,122,046,900,803,928,611,409,
063,816,740,088,034,796,079,735,605,453,208,073,548,237,915,367,329,681,810,
849,069,710,293,343,967,418,994,022,114,756,474,650,729,649,369,464,622,354,
555,254,613,708,516,651,943,072,309,708,308,107,039,523,882,306,356,893,937,
776,425,268,009,076,411,621,463,633,637,022,529,848,359,260,450,187,248,275,
917,803,227,464,525,051,240,610,918,677,781,110,295,221,277,482,243,836,344,
572,556,647,680,778,830,740,608,691,689,354,417,060,022,758,530,154,476,931,
433,041,468,806,637,700,677,615,371,678,445,974,454,895,480,834,877,095,699,
217,586,454,173,069,356,061,232,801,715,595,422,491,370,099,006,540,463,899,
775,059,328,962,360,037,800,693,340,077,030,222,204,142,650,321,709,029,733,
568,061,158,203,164,813,257,737,265,899,917,442,278,173,411,437,833,890,894,
428,258,876,740,922,288,941,531,741,480,902,706,451,770,122,815,421,285,221,
776,316,695,497,115,502,330,093,012,092,235,699,865,794,438,597,893,251,026,
682,985,212,420,341,176,563,028,000,207,678,798,320,158,170,721,625,691,848,
044,669,271,653,361,824,632,326,465,487,332,604,760,808,842,615,585,015,190,
656,546,398,934,239,180,135,089,263,010,162,091,590,302,370,467,157,381,900,
526,127,674,201,501,013,771,670,649,286,887,961,330,355,188,701,893,652,049,
527,873,246,063,336,666,725,663,414,496,844,147,210,589,923,167,483,287,961,
909,133,442,617,106,937,605,683,931,367,611,382,636,903,759,421,047,101,508,
846,183,704,818,003,171,073,666,901,840,188,463,209,840,393,228,741,855,026,
072,804,097,221,658,374,004,885,106,502,813,487,859,598,567,136,635,160,066,
350,715,285,650,324,171,994,175,173,530,625,368,644,426,602,040,202,981,633,
935,017,787,547,358,104,000,736,347,976,961,023,914,536,572,745,793,112,276,
278,044,240,195,763,323,049,932,205,296,534,674,437,040,472,853,732,702,553,
308,294,613,012,097,473,807,873,661,818,282,608,875,183,847,072,556,632,200,
462,724,712,890,014,169,334,109,725,334,287,084,034,042,329,320,216,069,264,
490,728,507,024,619,536,713,357,809,158,540,695,846,702,336,227,672,299,733,
164,924,025,251,432,404,121,817,864,341,075,819,639,865,272,238,942,211,590,
359,495,591,845,625,205,001,405,642,336,144,719,608,488,603,273,366,732,507,
686,300,043,677,069,786,125,447,429,103,018,193,915,206,971,039,672,928,762,
029,418,039,312,047,757,832,424,121,929,890,497,988,808,896,062,294,176,269,
098,975,540,454,203,801,141,808,138,887,834,496,503,012,491,401,502,506,118,
320,810,205,520,988,980,159,131,568,181,760,730,045,228,793,278,266,227,025,
152,146,007,212,964,689,778,195,830,542,989,073,924,935,535,643,083,748,091,
585,701,495,515,721,004,519,167,877,472,882,577,417,459,617,476,122,023,606,
317,089,493,875,263,562,648,932,829,618,050,523,213,765,878,081,889,574,237,
149,829,918,922,800,038,685,380,283,716,936,486,121,409,465,470,819,017,516,
438,979,682,272,454,491,712,270,529,179,744,881,218,686,082,132,925,885,194,
534,718,566,643,398,790,301,930,251,738,047,049,272,256,476,309,640,264,804,
410,224,373,956,766,129,892,481,973,691,951,192,044,724,556,810,543,708,629,
480,104,089,917,525,268,964,585,506,141,255,399,973,913,975,394,197,523,995,
490,550,121,473,075,644,226,818,336,373,747,627,355,736,414,669,990,601,315,
741,634,076,546,947,835,873,900,950,878,826,609,130,622,421,978,085,687,032,
423,147,914,757,432,099,722,502,628,000,663,477,505,611,857,921,663,687,030,
796,573,805,674,096,665,384,922,435,654,846,496,786,468,224,696,812,671,281,
067,951,945,649,443,771,472,263,728,152,875,883,310,039,863,566,478,511,572,
021,179,356,046,740,124,968,029,357,400,064,752,041,418,002,593,230,778,511,
815,565,415,597,557,428,017,258,886,421,491,704,501,583,005,787,436,354,509,
573,486,527,015,139,727,274,566,637,629,890,299,226,765,134,439,364,307,655,
735,391,626,549,088,907,978,017,960,540,027,840,383,656,361,795,021,383,927,
557,809,028,404,659,384,051,256,405,664,149,290,532,494,143,058,832,922,224,
359,011,544,022,254,409,462,685,185,828,296,757,026,908,485,638,080,951,453,
520,979,963,209,299,414,107,008,181,173,342,484,491,696,026,314,006,583,817,
081,246,584,621,178,104,936,973,178,340,720,195,011,281,907,963,529,780,433,
577,659,644,324,552,566,530,589,759,669,412,538,953,493,110,096,977,985,602,
065,266,062,197,375,752,398,430,252,243,979,759,497,716,097,078,443,828,474,
497,090,975,240,924,323,224,892,056,362,999,724,203,577,325,475,571,574,388,
657,107,365,332,309,510,789,538,763,770,314,083,423,467,866,413,147,617,296,
490,683,396,391,936,176,650,009,532,609,282,865,783,719,402,471,650,023,907,
655,910,886,512,586,109,608,550,885,246,720,593,106,187,136,109,678,447,422,
139,905,189,995,426,556,367,456,558,927,073,978,427,555,370,046,363,045,959,
666,486,683,251,590,228,601,342,233,426,605,488,148,593,614,258,758,202,650,
242,828,063,269,689,358,706,234,725,969,839,526,655,412,001,284,483,547,815,
159,830,122,685,678,067,956,507,136,587,702,109,588,413,816,915,741,941,032,
635,511,089,852,464,192,743,659,594,703,150,222,227,691,865,194,021,522,746,
827,323,222,307,048,982,629,031,953,004,222,153,914,395,727,075,291,306,361,
070,956,805,969,757,331,481,040,241,507,883,469,656,269,947,826,528,749,919,
933,160,800,767,478,040,871,579,232,873,255,885,130,485,382,094,286,482,527,
397,397,299,965,482,997,772,890,226,376,451,554,824,823,410,305,300,662,254,
942,003,682,850,875,875,714,549,106,199,782,626,722,883,135,008,505,268,725,
101,488,608,213,119,894,532,840,278,704,129,728,111,008,360,262,386,181,157,
717,581,673,443,590,214,166,622,686,776,421,369,198,957,737,022,434,779,928,
060,913,644,688,853,940,736,227,602,218,031,659,019,437,310,075,469,267,233,
407,304,547,979,069,743,733,045,422,978,273,295,854,069,236,744,233,075,475,
977,075,746,494,884,151,257,567,987,759,486,943,611,848,697,859,308,873,803,
237,495,099,403,286,561,211,095,836,819,870,414,938,231,472,371,249,793,770,
566,849,380,159,786,650,360,739,745,220,122,822,281,888,102,898,126,757,765,
197,378,047,165,601,083,295,707,928,324,061,781,979,619,180,376,962,168,029,
866,866,284,003,662,031,987,908,664,131,552,917,255,740,699,706,308,690,480,
855,097,665,073,116,127,312,388,427,361,708,404,166,956,515,127,546,783,834,
718,635,949,549,917,591,360,139,282,635,323,451,305,438,570,175,661,406,268,
966,522,530,030,580,766,448,397,184,168,342,512,059,649,926,056,674,167,353,
333,471,675,840,811,243,531,753,229,134,100,831,259,097,601,087,948,385,611,
284,749,508,437,542,383,359,925,322,768,238,331,071,501,122,170,889,562,251,
816,568,854,821,529,069,716,937,131,670,693,062,262,750,203,833,937,849,899,
675,712,488,189,561,401,545,722,136,372,437,921,858,971,289,560,948,440,417,
297,337,662,577,812,511,549,489,202,251,324,004,636,239,497,667,335,372,477,
389,282,581,768,868,560,865,585,738,565,870,529,177,956,797,568,146,444,536,
619,967,760,226,248,292,147,149,018,098,487,428,623,626,412,162,244,303,619,
861,459,235,595,018,969,107,346,256,435,057,772,505,376,461,905,410,693,518,
418,516,418,585,948,935,245,782,286,619,956,074,044,233,463,048,357,559,010,
443,548,953,355,938,701,702,377,390,196,466,808,925,179,822,818,051,590,548,
483,863,209,297,065,754,994,036,369,335,818,717,667,285,381,429,106,972,824,
276,526,499,905,690,979,305,320,401,348,009,944,206,035,203,277,692,973,199,
844,195,454,304,698,226,660,212,002,306,812,898,668,532,483,876,659,284,767,
083,989,209,452,074,446,833,786,703,543,362,608,111,543,341,318,581,980,973,
576,468,331,294,993,564,103,765,849,880,437,544,572,395,434,540,912,785,399,
897,808,222,977,101,413,242,586,644,272,451,169,390,422,499,436,063,771,286,
925,754,555,870,306,204,818,208,591,187,393,047,157,979,193,332,088,655,221,
956,084,447,333,685,492,905,751,472,260,801,698,863,592,817,453,368,297,494,
927,478,631,117,886,271,586,848,358,102,388,627,042,483,297,860,964,162,734,
713,856,553,913,072,331,689,615,725,760,908,786,850,249,555,468,139,458,133,
324,612,295,439,168,893,380,822,649,451,661,394,189,794,090,510,327,007,658,
421,679,820,117,474,484,477,119,253,048,397,800,169,343,909,214,327,582,627,
761,341,760,395,201,159,968,016,788,876,954,478,774,764,207,598,647,178,848,
642,842,603,040,348,920,608,061,924,726,595,207,034,078,859,326,170,169,809,
184,374,828,953,723,561,855,041,227,550,091,561,765,730,645,611,736,241,443,
440,305,904,546,994,851,710,808,463,412,821,905,759,869,479,620,248,249,228,
118,245,659,570,556,698,229,936,050,000,401,554,684,159,764,522,476,217,782,
556,318,977,454,951,166,776,999,677,369,905,220,515,540,381,821,190,080,927,
703,428,689,433,729,764,220,597,532,048,847,540,323,324,390,626,130,960,710,
967,015,038,991,614,577,287,748,699,459,614,611,317,791,587,851,679,784,597,
661,488,647,059,577,843,106,652,308,002,049,057,612,571,666,507,566,840,816,
488,201,363,599,106,273,825,402,530,882,079,577,048,353,062,401,912,309,435,
084,799,993,319,850,162,231,169,174,728,120,720,939,125,603,736,442,301,564,
277,460,608,541,819,939,169,765,032,412,400,420,494,554,007,279,270,772,513,
686,070,295,366,479,399,106,967,279,068,877,723,304,222,142,146,332,002,464,
978,301,421,100,328,544,058,647,907,545,007,866,824,066,277,824,828,697,255,
416,717,665,915,095,720,149,079,167,530,824,251,927,550,389,038,835,240,255,
301,902,554,232,439,144,884,771,365,497,847,786,871,114,195,064,195,486,216,
344,493,258,864,765,520,328,300,811,307,007,225,676,114,178,280,303,309,819,
429,685,663,340,906,579,445,744,639,167,179,380,944,933,758,068,491,981,558,
635,120,628,293,517,758,926,795,441,491,038,249,138,819,285,489,899,076,088,
308,006,857,371,841,454,665,575,052,968,281,906,781,771,612,723,646,920,741,
905,061,502,882,059,712,297,647,541,513,877,795,683,082,116,209,861,958,076,
850,961,551,853,238,189,682,288,032,965,733,502,023,165,951,496,643,174,754,
638,492,344,373,485,577,273,659,740,859,115,559,444,337,639,068,211,193,083,
800,686,040,177,539,015,931,198,138,688,395,882,491,927,379,034,855,526,488,
921,086,721,434,804,796,255,749,962,220,096,215,979,874,519,441,134,614,153,
730,053,276,391,196,662,084,734,055,995,379,197,553,115,970,635,644,691,965,
155,262,721,313,223,840,051,484,568,018,288,859,769,230,811,400,942,055,603,
445,423,974,199,495,251,565,861,364,008,095,350,294,299,993,210,057,372,439,
977,567,913,602,884,065,438,784,664,469,228,856,206,940,073,920,770,158,574,
335,492,195,550,508,522,736,420,386,535,596,633,282,203,615,483,699,512,731,
352,468,261,574,750,463,872,658,323,808,638,876,391,024,122,142,185,318,768,
256,052,950,403,904,268,209,675,083,502,052,791,467,850,351,121,549,563,747,
168,675,327,812,535,240,549,560,484,156,980,918,680,490,454,150,517,949,739,
032,927,007,810,286,221,658,600,472,887,011,259,474,822,435,551,790,342,435,
491,665,045,357,636,519,207,018,434,526,477,355,730,361,358,726,068,187,088,
005,541,055,010,441,583,224,353,012,205,674,707,597,773,247,505,284,152,574,
738,499,508,821,404,706,443,791,276,069,887,064,577,843,118,451,223,947,568,
641,044,117,001,893,884,751,732,227,361,770,854,770,787,120,797,822,248,694,
302,696,857,509,547,581,831,140,389,652,284,979,040,765,118,348,864,509,807,
791,755,152,527,935,454,455,953,454,544,268,192,461,157,392,809,294,779,181,
077,516,526,306,434,506,019,113,759,805,468,679,321,566,162,175,327,675,933,
511,541,410,304,221,334,368,656,300,007,076,370,246,251,278,152,142,154,964,
407,080,277,242,134,283,449,923,695,407,732,118,532,665,954,109,380,156,414,
974,055,564,934,819,112,018,346,803,157,796,424,887,849,870,232,443,268,158,
362,116,010,035,608,863,973,302,054,737,326,650,139,580,080,169,798,251,111,
512,971,843,852,657,694,139,378,156,892,287,263,246,376,827,317,029,840,595,
411,025,949,676,362,165,206,727,677,319,179,921,010,749,499,904,842,894,477,
903,115,605,398,345,960,467,968,650,585,045,852,184,153,260,655,557,829,577,
272,945,212,535,565,985,642,665,150,666,342,234,313,858,691,091,848,856,163,
420,578,195,641,613,093,934,642,833,459,495,989,074,188,539,202,946,739,891,
335,002,587,231,377,971,123,659,928,900,708,570,096,060,796,367,169,337,705,
209,143,126,109,033,488,284,450,567,082,290,636,366,689,085,176,403,162,906,
867,108,165,104,332,147,617,273,301,435,761,675,434,817,257,809,385,332,038,
614,160,737,030,867,906,966,784,846,406,099,633,937,071,124,102,656,194,590,
976,435,806,487,508,759,707,947,185,555,404,774,422,215,563,797,357,766,449,
237,553,486,861,852,955,577,849,709,010,556,705,482,472,120,120,719,942,003,
247,747,034,662,380,212,112,130,074,256,204,804,298,371,220,980,973,861,449,
651,594,098,034,530,940,052,100,567,117,592,842,258,578,955,658,508,234,161,
439,391,079,385,670,037,277,245,021,201,270,734,505,477,968,147,238,174,799,
081,441,444,841,906,163,936,918,594,185,124,453,093,825,901,585,782,026,347,
018,708,770,428,062,725,724,666,082,610,931,275,926,571,095,217,128,551,213,
678,542,274,953,490,774,751,018,252,082,455,366,860,379,743,257,174,454,689,
286,022,946,608,206,734,281,476,413,401,415,133,740,766,956,788,311,546,731,
070,716,153,778,745,671,826,079,866,475,600,187,732,644,093,755,366,854,785,
160,224,853,768,127,568,059,180,601,766,948,897,847,871,670,521,897,184,096,
602,158,230,533,191,339,127,328,890,700,174,226,154,556,164,758,009,849,215,
009,163,778,872,968,414,090,291,161,788,167,480,429,583,901,822,756,744,651,
175,155,570,287,833,447,331,348,551,893,471,247,384,427,153,588,986,120,700,
124,933,641,293,011,777,299,809,539,585,768,738,190,514,540,855,527,654,647,
782,873,392,687,632,478,120,121,787,466,386,651,342,430,313,828,656,098,048,
051,557,364,933,822,538,430,077,109,538,067,502,186,826,486,955,950,595,463,
758,973,296,836,611,755,955,472,258,786,311,986,651,489,218,629,155,902,371,
449,418,967,372,882,446,814,011,980,727,938,595,668,732,711,816,242,014,037,
207,684,866,616,300,491,181,140,293,670,013,698,995,530,621,599,090,014,999,
044,047,762,414,814,212,460,663,615,514,749,976,244,537,610,231,316,170,703,
409,887,625,132,273,070,678,480,042,499,010,775,355,857,067,082,362,696,634,
102,304,684,684,653,098,998,549,534,940,640,800,313,953,288,884,172,086,830,
262,059,808,214,841,332,694,764,993,998,360,328,233,245,358,820,934,740,135,
208,460,736,772,909,439,263,755,697,824,959,921,656,453,342,308,507,867,819,
455,423,213,061,990,846,892,689,946,372,867,626,166,602,725,531,141,182,568,
829,193,911,227,706,913,382,826,790,063,619,854,288,092,925,782,776,186,877,
102,083,180,022,388,729,224,161,188,663,543,610,974,402,334,998,811,455,435,
078,959,664,683,011,435,230,808,613,885,580,175,291,749,204,203,190,499,334,
920,168,533,220,970,328,005,615,529,913,400,131,787,020,304,835,416,030,951,
385,238,161,653,372,506,230,044,398,769,807,458,303,993,828,297,257,870,314,
355,452,468,762,140,377,605,033,787,611,361,326,011,044,132,805,476,323,077,
053,415,080,364,181,467,726,266,887,927,542,184,336,261,721,495,337,340,646,
121,371,596,589,894,656,639,191,468,873,152,617,830,307,340,961,508,850,631,
852,956,819,675,870,607,206,179,705,941,711,529,117,822,696,994,566,560,868,
222,025,988,626,638,132,102,610,652,423,092,168,890,706,922,685,296,229,643,
496,292,325,600,888,475,667,098,322,076,991,006,973,289,674,875,137,319,273,
151,277,198,952,708,684,846,764,846,751,508,239,724,347,229,104,202,861,136,
235,666,466,146,034,573,523,221,372,680,388,175,117,057,613,373,176,099,847,
640,019,220,655,856,897,496,993,451,340,021,825,230,854,755,077,147,606,963,
570,329,019,827,968,294,181,900,734,409,065,066,969,276,552,643,046,821,676,
564,764,749,827,478,031,444,804,831,982,427,529,070,842,332,383,158,815,649,
839,911,205,929,990,959,398,105,917,413,439,026,472,134,561,242,872,443,751,
278,110,877,681,927,414,628,693,361,574,053,493,268,495,600,769,743,890,519,
344,719,832,717,753,763,564,805,782,111,505,104,354,862,346,121,050,581,603,
677,689,387,213,263,956,138,664,818,247,991,618,479,057,404,985,957,550,772,
913,721,396,826,540,166,858,578,428,241,158,779,465,119,844,334,367,711,145,
002,683,899,878,982,435,956,023,944,663,036,879,600,796,397,003,502,927,333,
439,285,001,456,897,081,051,969,349,215,816,679,814,472,407,406,745,782,632,
854,192,385,311,487,508,286,561,698,107,679,195,978,972,043,736,343,030,349,
750,101,044,914,282,365,853,223,851,289,677,164,970,169,409,058,767,994,446,
389,625,624,630,853,343,442,879,546,498,258,474,777,522,878,274,127,984,715,
528,621,896,696,687,849,883,399,259,107,857,236,134,378,554,442,551,198,847,
842,811,279,132,783,945,846,101,656,560,577,087,464,394,381,105,302,407,746,
846,855,119,518,833,343,136,502,187,651,260,461,262,836,569,232,373,882,935,
173,802,210,097,602,998,740,315,016,837,466,621,926,267,443,854,218,451,698,
884,092,304,888,844,696,301,872,647,851,653,884,952,869,239,904,424,314,632,
476,154,003,878,745,616,795,647,655,001,607,537,906,911,658,696,320,957,349,
537,268,843,308,801,286,414,141,504,757,410,495,453,358,559,012,588,313,684,
313,782,531,267,466,173,983,136,720,572,048,087,007,437,402,255,445,367,539,
734,212,796,650,516,911,149,806,634,341,169,782,080,565,055,402,588,054,670,
459,962,110,451,951,517,345,265,723,575,787,357,532,713,562,803,242,991,149,
032,968,926,750,293,595,266,775,357,220,283,744,325,945,000,172,459,977,229,
650,508,119,926,814,242,716,506,008,138,730,557,589,586,110,500,376,093,010,
193,252,105,308,440,986,409,098,435,633,096,503,924,627,720,509,062,524,000,
164,555,208,375,521,143,083,913,777,566,951,609,633,484,429,560,450,285,718,
448,898,640,535,853,653,889,831,154,298,558,570,610,286,565,473,178,611,443,
718,330,319,241,369,859,085,697,783,933,585,074,392,786,563,865,363,220,903,
681,954,959,532,464,364,970,312,158,163,168,476,357,767,112,806,369,017,902,
640,276,966,508,331,787,661,731,689,955,417,449,479,620,155,967,345,195,252,
202,125,602,812,633,691,245,800,489,911,496,862,491,715,767,817,480,454,605,
031,820,431,667,305,381,829,455,151,849,559,452,297,988,885,353,661,775,077,
368,516,743,998,933,548,710,383,639,696,716,708,444,087,371,185,019,162,898,
560,959,614,075,932,809,931,267,156,111,700,515,247,290,620,485,577,610,980,
985,140,220,548,990,067,459,778,638,544,557,314,007,498,175,409,170,792,259,
589,416,678,457,329,658,470,985,500,341,568,177,046,984,448,617,329,237,947,
589,787,993,962,352,789,629,733,945,504,820,994,557,233,592,197,324,397,724,
650,494,553,634,306,973,941,936,026,814,461,231,032,617,552,290,238,746,885,
008,492,606,005,161,113,706,456,472,409,286,963,825,452,968,911,814,291,160,
854,678,130,270,072,528,954,201,444,823,756,601,253,489,554,829,305,388,038,
322,318,606,757,495,610,360,903,390,672,744,915,516,396,070,600,421,890,043,
912,022,296,526,106,912,953,065,926,191,044,920,014,762,279,840,374,802,115,
904,304,049,479,778,239,712,938,896,096,974,467,978,590,486,075,006,441,599,
213,666,950,015,087,675,073,147,380,666,438,224,510,562,246,570,408,263,192,
182,203,267,410,159,280,611,408,402,388,338,359,786,783,552,644,620,796,823,
149,619,665,301,085,447,225,778,061,154,435,739,422,942,317,583,461,360,357,
020,130,427,641,971,168,520,618,276,946,599,017,360,918,617,051,784,319,501,
766,881,175,861,223,463,691,097,649,608,944,074,855,124,767,450,999,018,340,
925,138,149,510,925,032,486,036,116,732,201,953,664,251,855,595,928,649,437,
336,107,640,776,465,807,535,598,461,367,312,257,789,978,011,232,413,870,158,
361,364,933,473,787,616,270,340,863,173,235,969,460,922,411,952,415,265,384,
738,744,510,370,277,957,711,106,832,620,182,495,050,182,783,398,558,127,190,
578,364,333,226,734,805,522,622,792,198,101,236,161,669,032,351,378,931,934,
513,819,295,437,566,507,457,716,714,660,285,768,972,487,645,497,130,634,132,
605,768,953,182,877,434,544,831,368,916,713,032,537,115,783,663,223,491,878,
293,596,759,117,567,275,606,896,042,157,638,779,274,066,466,310,286,833,837,
226,197,600,828,667,988,786,702,860,612,397,458,410,773,222,098,660,686,517,
096,378,209,738,512,390,942,450,922,810,200,348,114,972,383,310,878,289,020,
881,101,441,840,772,310,991,485,109,871,605,342,206,492,269,231,332,154,430,
070,834,534,449,465,337,011,749,092,962,834,595,404,374,058,922,249,865,712,
302,311,900,181,550,398,112,835,663,650,042,839,684,753,372,902,237,760,183,
268,870,002,734,762,300,440,179,419,181,993,066,698,284,276,105,320,182,793,
452,866,434,136,246,309,221,670,259,695,354,282,634,260,672,538,240,062,808,
473,852,993,245,021,540,475,016,698,268,566,650,547,194,394,492,506,368,747,
100,147,482,948,522,952,079,099,226,369,862,967,832,218,125,170,142,629,297,
626,642,678,252,546,102,457,302,353,836,859,602,676,896,733,403,460,543,870,
443,563,171,572,595,128,087,112,703,517,941,350,662,326,065,748,611,301,865,
458,163,275,494,792,425,097,664,369,686,566,842,669,587,872,838,132,832,707,
863,631,996,698,447,521,805,504,502,938,415,921,498,989,030,922,229,761,885,
075,302,714,964,423,188,190,903,900,629,867,757,061,247,965,879,870,192,121,
827,213,577,078,707,486,637,264,200,137,582,270,827,728,589,986,861,405,649,
240,733,776,461,382,957,151,373,110,817,161,531,035,089,557,423,984,447,220,
202,846,318,893,541,985,390,398,080,574,008,647,864,300,850,787,548,044,893,
847,248,342,105,252,569,687,759,852,235,516,357,783,589,158,281,923,899,176,
609,777,427,515,445,253,701,133,448,126,017,505,344,509,557,270,940,644,114,
935,672,006,446,035,633,745,072,597,188,297,393,447,232,881,923,325,342,420,
743,262,136,442,590,914,236,958,073,199,494,887,892,233,511,968,897,529,257,
415,503,089,888,335,472,626,364,401,890,692,312,953,540,986,022,605,401,582,
077,234,665,355,674,645,051,701,317,743,024,311,881,404,273,182,397,023,800,
819,149,898,752,388,944,911,952,967,264,292,368,621,490,858,057,062,076,918,
209,075,342,693,136,233,833,051,984,138,145,195,545,215,830,268,332,422,196,
012,245,316,738,398,718,153,267,921,205,092,494,622,972,282,565,438,379,052,
525,579,102,464,566,020,202,583,400,953,610,257,643,711,903,670,115,049,581,
270,794,892,037,160,763,002,826,368,908,415,768,541,279,164,798,404,526,124,
843,549,665,189,803,776,392,621,539,025,008,910,960,712,855,753,118,650,554,
106,762,683,154,496,457,205,286,667,814,922,897,525,509,520,419,365,536,319,
548,080,375,375,574,079,719,864,911,309,219,470,808,844,638,025,623,083,737,
812,636,310,254,158,109,659,040,722,799,670,636,248,711,635,932,494,558,759,
847,454,216,595,061,676,229,429,809,393,167,323,554,425,217,464,127,358,505,
818,682,850,933,495,384,475,719,080,204,086,476,817,226,692,087,374,799,211,
979,501,946,127,816,031,380,483,376,496,005,807,069,163,580,618,361,223,946,
884,012,877,174,914,837,771,838,307,847,348,611,134,981,609,533,209,757,365,
884,096,151,697,519,245,383,205,536,122,963,987,797,689,454,874,322,619,808,
436,573,795,639,191,363,288,967,158,806,546,461,356,835,565,118,532,467,480,
493,838,405,807,393,489,366,242,367,067,282,410,234,773,919,519,925,986,993,
985,694,084,622,957,527,148,844,437,900,319,609,709,556,418,024,389,195,931,
322,359,410,997,027,388,211,538,564,399,539,690,689,740,784,915,552,060,942,
651,266,692,760,338,267,256,937,032,904,188,858,665,536,774,046,556,721,293,
747,936,552,480,193,334,344,911,229,970,764,540,287,450,132,515,949,783,430,
043,924,176,065,518,487,889,493,820,421,629,075,241,716,169,247,529,264,100,
577,712,579,006,394,048,840,862,653,207,046,026,752,498,757,522,085,281,999,
212,766,847,931,272,900,167,070,155,601,195,792,263,445,318,373,847,863,795,
441,535,319,255,255,216,937,384,828,205,386,182,649,154,708,025,855,408,828,
263,543,143,695,618,625,859,074,749,679,921,895,323,104,069,893,717,295,904,
894,948,662,243,874,930,837,168,801,284,674,154,685,136,570,500,111,015,759,
423,500,430,238,568,844,562,623,330,670,536,125,472,404,638,261,369,074,190,
274,426,800,260,695,418,480,849,660,767,987,012,832,731,524,866,158,283,114,
775,514,877,000,553,056,664,057,993,553,643,106,319,969,996,691,343,713,402,
901,164,888,181,570,151,090,999,224,040,792,886,862,103,548,999,082,026,482,
375,740,200,470,871,276,464,225,993,906,249,448,351,000,897,277,426,349,413,
802,771,553,228,691,623,749,883,724,434,587,132,116,951,955,122,249,363,992,
162,173,621,864,261,705,707,080,343,934,534,267,948,510,503,992,050,787,311,
411,840,126,928,717,780,344,125,649,054,806,207,298,750,428,248,447,008,992,
211,317,054,723,654,627,755,830,416,231,902,266,729,290,627,503,772,319,433,
957,586,542,998,813,205,567,433,255,741,343,479,616,915,835,945,183,385,960,
058,096,512,051,082,874,430,215,761,278,668,139,493,695,470,937,665,031,413,
202,004,255,269,219,453,981,519,987,628,078,246,570,009,742,532,172,429,703,
623,110,149,795,507,946,405,066,396,971,693,816,007,807,133,914,277,791,284,
244,311,832,145,076,760,966,204,919,046,712,591,216,349,952,330,372,225,249,
675,250,248,464,569,736,824,058,438,922,868,046,064,654,839,331,531,293,220,
515,709,775,607,108,292,341,168,585,093,135,838,369,020,880,736,906,247,064,
188,654,997,969,610,579,917,850,640,560,479,555,212,484,018,039,047,668,122,
948,148,303,615,020,416,260,669,509,583,604,426,820,539,453,649,348,788,617,
405,855,282,442,320,734,772,564,913,333,607,428,722,673,854,194,861,059,254,
031,505,713,017,815,677,789,065,564,238,609,709,546,813,822,874,675,941,578,
461,971,169,599,053,379,991,160,081,879,636,215,296,387,012,561,511,203,366,
843,081,530,248,448,393,850,118,106,223,304,980,526,312,315,024,364,064,876,
553,725,631,788,276,788,861,296,876,770,763,061,590,644,024,468,197,207,395,
682,823,421,163,992,155,848,388,293,471,468,479,107,696,870,301,903,364,922,
498,340,916,851,669,774,722,500,933,525,243,719,306,777,191,079,315,407,414,
827,532,111,542,293,073,187,857,539,127,400,378,828,091,941,056,086,828,458,
820,044,873,796,314,040,480,128,604,772,265,265,998,608,614,810,428,213,594,
516,077,007,585,285,802,021,608,320,995,166,834,810,507,017,986,588,872,381,
459,386,675,587,793,407,601,802,040,841,626,946,560,668,681,235,816,936,692,
954,284,863,887,352,598,289,436,307,087,455,424,920,003,011,176,573,401,491,
384,224,100,428,648,055,001,723,943,164,448,505,004,804,367,871,762,752,034,
403,790,670,402,692,841,140,167,186,603,444,337,714,887,987,658,654,433,033,
986,725,913,203,099,565,914,228,496,848,949,995,646,847,471,220,639,430,153,
034,943,139,325,720,544,222,647,369,283,890,255,750,719,677,557,529,512,688,
639,209,532,876,656,080,201,900,539,576,069,496,844,762,130,449,251,105,812,
130,835,234,659,362,475,273,215,934,509,547,329,947,689,111,970,862,466,042,
625,174,214,612,900,461,551,846,605,182,646,048,094,403,247,456,738,751,266,
517,805,109,021,653,215,952,887,143,338,438,294,922,526,803,956,044,615,576,
925,920,242,814,967,130,097,470,624,956,953,501,488,964,650,714,219,366,479,
974,575,961,468,634,181,612,734,756,886,078,490,762,800,729,331,346,088,813,
148,350,057,457,111,425,245,436,022,030,387,787,417,824,285,974,537,679,690,
641,640,848,973,469,547,138,777,498,329,541,736,397,194,560,013,938,500,657,
269,002,919,358,604,527,542,371,159,333,039,987,227,591,071,004,347,792,318,
712,112,992,539,397,436,626,256,766,366,563,518,033,233,538,959,119,030,031,
505,123,514,293,530,271,543,924,279,539,663,177,660,159,416,052,860,622,266,
292,325,286,934,124,603,710,000,376,353,039,197,695,687,454,544,163,378,972,
903,286,611,571,883,543,467,663,454,110,070,740,124,306,605,547,137,004,800,
733,295,599,448,898,224,836,140,343,810,780,967,306,565,342,091,037,251,624,
317,939,538,449,878,471,435,698,559,702,922,438,373,219,659,199,321,868,992,
516,592,544,716,833,554,149,657,039,692,383,731,345,488,509,658,812,087,431,
143,589,804,048,765,641,088,442,269,437,849,970,290,712,105,646,925,248,282,
317,089,555,438,407,964,747,905,453,536,835,698,263,493,623,545,914,642,522,
377,731,577,687,424,586,016,661,202,435,610,368,472,420,394,948,600,357,417,
260,618,909,761,944,437,005,140,474,974,602,846,916,849,807,785,599,493,133,
589,366,923,989,404,848,146,332,537,189,536,943,729,632,721,930,541,820,854,
155,390,971,272,324,070,850,866,575,867,367,271,078,226,455,013,408,009,053,
481,874,227,031,909,738,607,785,066,911,832,091,671,693,574,812,010,571,064,
220,367,630,813,114,372,170,115,331,821,107,601,086,374,876,775,690,087,584,
941,729,847,018,845,641,812,776,937,123,385,903,489,250,157,353,079,056,567,
859,579,148,601,288,031,928,001,533,793,466,571,001,642,594,462,068,685,673,
867,138,603,945,275,298,688,528,524,377,242,809,279,663,699,632,219,299,741,
563,707,494,420,271,804,052,090,751,409,195,572,589,716,087,846,883,967,010,
412,418,840,718,876,664,875,036,552,612,863,444,562,448,604,098,511,997,552,
053,141,012,856,285,180,607,565,511,072,033,904,365,253,257,028,243,441,040,
164,884,697,933,728,919,356,066,337,977,452,990,056,097,335,493,212,229,974,
538,141,016,387,737,322,150,497,710,342,558,155,714,109,193,558,399,971,977,
894,828,761,633,150,189,421,905,530,053,558,361,006,364,854,492,604,521,912,
707,022,948,535,573,452,424,678,868,429,683,896,187,883,597,494,579,654,100,
271,537,127,539,273,197,555,401,731,962,671,980,584,356,703,320,770,160,863,
355,681,537,624,626,836,577,326,018,042,816,526,021,794,607,477,875,093,841,
856,892,213,197,986,663,647,669,352,038,154,261,397,853,327,837,872,807,420,
664,391,168,569,395,620,106,385,516,080,715,261,087,095,210,708,088,862,318,
045,556,843,756,362,389,188,331,903,535,695,076,967,480,345,477,346,433,210,
293,450,944,223,732,000,099,683,693,229,408,920,075,879,935,221,065,095,402,
197,808,722,884,126,709,780,703,454,250,774,799,604,150,614,396,628,925,869,
155,418,646,990,293,742,364,881,302,637,449,955,071,593,014,997,291,350,395,
769,740,459,563,491,693,888,829,390,549,248,169,524,051,318,400,554,864,254,
566,228,286,446,143,412,156,004,404,056,833,784,038,305,427,297,736,689,214,
604,342,405,692,002,063,616,040,818,829,467,038,551,719,012,950,914,205,709,
497,999,050,858,496,907,330,176,399,967,730,128,986,165,142,882,647,876,607,
554,085,905,844,171,384,136,379,259,675,280,179,164,818,373,388,973,874,363,
437,610,644,610,532,706,732,426,737,083,403,412,995,849,173,185,055,796,357,
256,332,322,588,860,946,203,570,409,542,239,255,967,281,955,067,251,034,378,
725,327,326,502,230,449,379,167,894,544,000,528,017,133,700,473,066,604,835,
943,831,793,436,074,838,160,410,574,719,730,755,410,620,015,982,524,408,009,
176,074,000,455,052,548,724,115,916,713,729,887,667,958,943,613,040,878,997,
421,394,618,912,040,740,900,918,674,658,776,578,841,477,908,125,323,558,629,
035,273,216,086,020,369,081,254,754,407,913,716,085,138,666,553,189,248,155,
689,529,453,621,388,439,632,741,429,887,254,940,161,711,648,903,582,948,613,
159,810,984,476,313,489,352,886,169,904,682,405,045,746,339,695,258,604,211,
827,478,478,425,835,161,389,265,892,939,612,064,332,241,216,754,042,302,135,
984,727,733,760,233,354,023,583,836,812,248,729,147,860,942,774,887,228,492,
074,709,051,932,439,741,134,210,121,947,659,538,512,080,338,801,598,882,052,
753,457,128,111,408,330,735,009,652,807,775,095,351,406,823,009,560,710,257,
918,782,195,128,906,415,872,708,805,447,095,826,556,714,858,295,939,748,352,
302,114,981,369,218,406,817,501,701,533,174,411,909,144,410,040,593,209,378,
947,806,343,998,515,125,478,628,032,456,746,565,243,767,524,626,468,455,650,
107,945,647,094,688,437,560,117,528,916,348,656,451,298,474,315,929,404,870,
204,173,477,538,239,685,231,620,743,113,914,229,354,524,671,572,399,879,153,
502,756,033,034,754,946,208,208,608,669,738,358,750,101,528,202,930,614,088,
492,632,784,345,681,816,302,340,398,429,793,251,074,519,407,827,460,454,095,
583,772,286,371,968,153,146,680,084,861,126,075,552,779,363,556,568,230,840,
819,948,977,201,906,662,377,910,286,000,406,952,300,065,744,114,950,032,790,
374,263,364,377,836,580,471,019,174,288,018,736,250,388,714,772,168,004,002,
123,516,526,561,963,302,335,943,221,857,187,542,813,385,367,434,443,792,890,
643,047,451,187,350,125,602,764,350,662,387,831,159,045,243,465,367,759,177,
033,755,940,614,027,006,306,723,971,582,196,640,129,828,282,396,679,788,850,
460,646,212,143,421,598,563,461,477,277,483,832,053,435,852,830,480,932,082,
229,336,088,563,359,390,199,455,939,380,681,910,096,782,192,917,130,543,925,
984,133,855,386,223,114,686,429,487,849,360,095,407,471,615,520,750,189,897,
763,654,928,203,746,517,673,029,806,345,300,211,993,547,653,521,742,389,146,
245,493,720,327,754,474,362,106,647,257,595,546,723,706,802,205,962,596,232,
989,504,375,074,435,724,412,637,035,250,054,423,167,323,050,931,729,792,527,
859,765,231,632,028,929,224,984,255,000,982,492,190,252,360,812,992,181,576,
543,100,956,095,142,746,053,403,694,172,272,884,325,877,756,940,219,925,946,
471,625,548,618,522,414,320,646,491,218,903,733,481,146,636,932,085,663,072,
708,961,747,984,426,008,347,809,594,237,351,477,905,389,983,260,722,929,894,
453,872,289,637,833,862,969,128,580,217,622,298,605,122,099,241,695,228,484,
763,897,375,531,881,760,652,999,382,350,718,634,754,652,633,038,360,532,146,
776,313,249,947,263,499,795,834,522,886,410,774,636,227,336,025,943,597,365,
171,493,066,614,783,798,644,884,411,621,118,552,065,222,230,216,494,697,464,
525,876,604,528,909,715,884,078,392,790,588,037,669,302,669,105,029,020,398,
551,841,141,296,124,207,502,413,581,637,765,654,237,860,275,995,071,292,917,
461,418,359,612,625,237,903,225,241,275,000,729,860,002,051,667,539,714,938,
645,021,930,589,232,791,544,826,452,384,134,065,004,850,858,057,302,843,233,
286,276,498,335,053,294,489,760,566,389,443,054,476,146,678,267,000,510,053,
472,072,863,374,676,940,982,305,047,095,293,368,405,783,458,910,278,051,952,
874,350,354,822,838,709,868,040,909,661,163,097,799,298,481,546,671,653,533,
642,763,585,766,357,909,597,072,768,336,570,329,320,307,221,672,996,618,396,
130,550,509,063,044,672,116,198,136,743,894,566,586,596,557,199,008,965,767,
357,512,889,874,361,377,670,988,657,151,993,587,191,093,261,991,258,082,284,
645,009,506,630,810,676,632,229,550,470,077,534,360,007,172,968,845,344,782,
107,842,755,387,642,227,806,639,586,426,906,975,435,886,048,089,353,001,404,
867,657,370,813,897,667,634,483,655,113,987,341,094,545,950,035,469,242,015,
037,274,436,655,008,409,615,806,456,929,253,352,699,471,882,708,491,593,539,
423,037,421,610,178,728,735,925,477,325,233,233,988,028,978,617,025,590,425,
253,091,997,538,292,895,399,357,194,292,742,361,573,695,861,725,249,602,105,
312,161,869,158,572,890,723,032,161,099,489,410,454,912,664,582,401,599,753,
482,224,778,397,885,955,771,738,945,325,060,157,067,367,452,965,825,853,840,
116,714,226,432,301,748,312,705,302,653,613,989,557,219,247,422,144,869,922,
715,990,693,428,271,096,111,352,902,438,519,658,275,718,936,663,593,492,313,
886,782,704,420,174,348,985,018,322,063,849,242,022,115,853,033,858,560,244,
086,464,713,744,801,500,462,300,610,329,431,537,707,776,127,123,403,441,167,
858,967,437,513,713,629,444,105,357,132,780,739,659,096,708,560,915,299,282,
610,198,195,074,834,890,005,688,141,960,571,185,654,009,890,354,541,424,403,
860,387,651,514,530,432,589,023,530,078,274,641,325,122,383,461,095,213,949,
626,297,216,802,117,748,921,788,217,500,033,752,771,481,966,847,186,597,001,
721,579,199,413,876,129,780,266,534,642,836,940,927,370,606,533,256,927,755,
652,891,469,012,300,722,883,466,360,057,277,575,967,412,083,711,719,718,356,
251,830,113,879,496,277,795,636,220,347,019,229,846,409,548,269,192,248,237,
067,143,546,641,332,954,946,236,365,348,170,780,960,499,676,623,137,023,899,
318,609,942,129,616,050,448,782,838,422,660,882,072,221,266,223,719,491,971,
277,349,224,332,737,434,247,478,159,987,399,317,293,447,787,859,969,984,459,
849,709,586,324,646,997,064,250,659,746,337,253,540,492,294,976,650,449,445,
290,765,136,462,208,299,420,384,285,217,872,086,674,457,547,508,027,889,296,
487,874,888,395,385,351,426,023,371,925,553,630,949,231,456,553,248,516,964,
205,652,060,641,436,693,588,294,281,099,790,343,497,187,587,741,557,759,058,
679,882,088,841,205,832,513,870,059,600,032,937,407,618,731,234,227,408,380,
250,157,740,521,269,945,137,899,738,317,948,123,201,853,613,252,321,905,854,
549,754,392,763,582,509,847,583,986,768,357,183,981,382,856,250,993,890,751,
437,330,793,690,408,815,793,038,893,070,199,098,611,547,816,663,540,608,089,
711,072,701,797,835,790,204,992,665,784,106,193,132,182,154,108,533,069,292,
079,277,393,907,359,323,774,451,502,540,342,495,777,943,898,430,618,047,021,
298,460,623,123,656,443,608,498,919,937,818,556,513,214,622,405,867,734,584,
374,273,896,599,803,142,599,676,954,672,165,741,454,081,490,964,733,536,507,
295,571,171,753,014,064,204,285,227,232,577,685,522,094,771,654,916,565,866,
391,927,105,208,860,875,728,011,785,006,416,074,786,319,960,407,882,598,526,
083,079,732,292,622,674,815,140,198,660,791,188,771,782,643,119,628,007,991,
713,171,218,097,535,743,766,286,631,796,803,047,622,053,708,998,985,431,820,
707,843,429,101,092,399,419,750,848,890,878,560,638,087,520,314,669,501,466,
211,256,966,607,527,617,685,533,693,025,388,587,742,912,158,389,388,029,259,
217,674,596,651,805,598,103,561,734,293,559,033,210,800,901,548,890,267,439,
822,347,255,287,079,270,572,807,981,300,896,982,916,440,942,932,380,470,976,
639,040,290,175,173,609,583,297,603,396,767,508,368,763,890,920,173,270,192,
967,452,855,019,450,466,969,250,348,041,906,414,574,986,961,097,069,869,276,
718,596,408,527,489,741,357,003,733,077,016,746,696,607,020,935,757,249,815,
681,782,287,646,829,760,309,097,338,005,168,978,781,778,156,317,533,111,782,
799,962,064,023,674,694,414,268,234,489,345,338,926,282,889,761,179,899,872,
660,598,441,628,981,945,308,706,561,688,852,322,993,242,369,389,235,928,281,
517,807,815,980,622,727,326,414,507,531,816,044,963,397,152,636,533,803,659,
578,844,635,774,590,055,810,754,881,818,873,379,405,998,264,125,625,407,945,
575,517,257,632,207,736,808,838,773,457,869,878,156,141,869,600,661,727,783,
365,968,468,464,302,264,046,820,295,847,473,185,873,069,465,940,727,830,811,
971,913,867,210,813,059,001,572,614,385,713,592,551,365,286,513,195,141,595,
747,894,271,756,355,343,020,067,927,590,430,859,101,849,943,786,002,340,233,
023,657,143,621,555,674,264,357,588,055,445,322,204,699,553,460,655,766,152,
078,368,640,724,580,299,300,007,920,123,488,026,644,946,170,616,070,624,774,
606,491,056,065,453,231,490,759,896,868,712,558,602,527,885,095,753,160,680,
716,798,312,274,397,973,899,218,917,654,440,344,124,857,990,497,472,991,721,
082,809,903,253,299,866,159,569,545,584,584,362,253,734,408,685,747,235,481,
733,024,587,834,179,940,396,136,680,785,040,600,608,993,884,825,365,802,382,
689,809,495,938,831,833,261,554,926,326,281,199,976,576,247,786,580,855,603,
982,101,314,479,210,364,673,541,015,112,094,790,043,828,619,833,176,406,399,
750,406,928,389,271,271,660,518,321,143,071,878,774,685,453,787,033,302,745,
331,969,442,132,082,011,383,046,122,936,093,586,486,348,454,137,835,086,128,
658,322,529,010,987,011,864,700,598,947,943,099,449,161,456,107,171,451,431,
903,914,043,039,660,043,232,530,151,039,138,851,798,994,770,501,979,296,215,
393,987,574,533,336,227,330,713,661,979,711,943,440,638,242,355,562,957,554,
784,153,952,538,935,875,012,130,586,670,270,558,710,861,826,290,716,747,218,
895,888,099,147,448,253,592,587,246,742,566,214,047,190,265,135,182,224,645,
592,081,082,437,961,363,819,568,073,780,220,356,139,232,226,822,629,985,627,
591,632,763,835,340,023,481,110,330,802,703,440,759,191,847,238,790,597,066,
717,676,942,747,312,301,214,209,399,360,440,997,312,280,155,110,795,639,574,
420,308,549,169,683,069,370,511,174,600,658,030,664,010,940,192,712,274,346,
003,632,619,641,445,561,744,663,590,627,152,650,160,590,489,469,274,610,614,
172,655,870,657,577,111,685,156,914,138,111,041,908,874,337,820,609,593,800,
229,842,846,277,729,016,554,123,146,729,614,965,336,217,792,409,313,855,790,
186,698,074,189,257,593,392,710,947,081,008,673,721,858,932,118,379,862,733,
659,782,690,625,015,363,156,813,409,396,343,065,661,399,817,726,734,813,422,
346,862,728,817,272,206,966,436,390,491,212,303,078,507,904,538,207,288,226,
789,827,380,399,962,129,669,522,720,053,400,944,822,243,108,086,519,013,743,
526,259,875,358,653,835,920,190,644,122,450,931,536,932,512,653,666,546,195,
041,910,191,404,222,620,060,118,191,708,048,740,348,936,880,276,078,459,864,
747,263,308,147,109,854,451,322,315,899,157,255,237,882,798,033,229,320,371,
528,761,175,462,165,540,555,179,079,245,700,596,478,040,823,472,157,412,337,
944,266,471,975,295,750,868,736,388,256,823,648,514,970,844,126,931,253,295,
423,428,016,742,617,069,934,789,664,769,593,987,433,769,774,095,750,282,548,
321,117,517,680,043,417,418,093,216,290,809,501,807,324,131,397,684,842,809,
160,229,397,233,502,976,149,740,679,612,093,958,355,738,818,782,122,196,884,
051,233,110,142,427,813,722,302,288,981,828,542,756,196,382,066,267,290,962,
740,405,130,827,194,253,688,340,379,698,394,491,955,249,353,977,807,672,281,
194,451,072,698,266,963,446,167,507,955,458,046,308,911,022,032,502,148,982,
439,236,293,205,965,860,671,170,595,942,986,572,093,528,142,611,934,361,823,
658,673,851,263,034,759,702,174,172,842,822,010,480,050,598,162,025,131,256,
927,838,627,652,002,916,225,492,450,761,096,626,383,640,754,770,226,558,370,
281,597,330,652,942,683,608,146,217,348,420,125,091,414,518,942,558,426,206,
944,353,407,603,780,716,172,143,842,804,131,627,159,370,114,688,266,248,178,
844,461,387,194,457,299,229,130,397,110,641,520,792,834,894,210,428,671,872,
661,345,039,285,138,937,466,969,044,149,851,649,862,778,000,512,548,730,047,
301,904,622,527,493,707,351,486,045,205,286,128,743,329,596,724,224,792,864,
889,433,641,781,351,147,075,585,651,281,689,301,506,971,090,653,607,752,771,
811,981,715,956,934,264,426,786,237,996,217,836,406,408,545,234,201,562,196,
440,298,581,581,206,674,282,040,099,323,611,375,753,809,535,675,150,247,241,
982,045,865,353,834,882,287,523,332,726,841,720,194,347,795,858,656,810,269,
685,066,903,898,651,787,663,175,592,428,175,768,776,809,011,656,632,127,548,
236,253,571,892,538,453,820,401,799,201,022,512,741,863,407,397,863,785,164,
478,444,348,376,101,676,026,185,572,218,556,871,984,024,527,425,256,216,517,
931,832,142,989,549,066,494,635,912,543,774,340,625,283,147,178,155,034,575,
108,046,498,583,584,698,108,226,146,223,552,524,907,153,005,539,328,000,143,
821,078,776,269,600,665,369,958,869,273,123,588,249,248,236,207,452,480,614,
042,511,953,186,738,313,301,809,575,457,649,369,924,053,009,383,173,240,558,
567,086,845,773,635,355,690,276,773,632,639,764,240,369,333,018,424,189,081,
965,386,011,163,141,278,016,659,482,957,728,596,753,998,126,122,542,361,283,
883,632,233,069,600,977,292,174,151,961,224,324,232,801,079,482,262,887,761,
109,001,707,507,040,972,379,748,688,741,013,225,261,854,792,133,876,070,610,
907,146,389,378,003,587,923,949,264,043,671,066,826,704,776,573,431,603,066,
114,936,360,577,311,980,693,669,600,452,131,678,565,479,806,356,054,777,978,
819,908,837,905,261,705,745,077,218,377,997,400,263,213,284,472,304,540,230,
044,636,663,929,021,145,745,802,859,057,044,809,468,454,145,395,238,656,654,
258,580,110,070,938,787,972,126,779,851,572,168,239,430,167,997,116,750,900,
742,268,646,409,071,346,038,180,388,880,851,334,356,322,907,085,191,919,320,
030,815,384,651,583,792,945,069,242,498,038,827,659,394,087,135,359,090,765,
081,471,003,926,738,259,582,324,640,539,659,725,044,266,682,380,935,424,671,
373,122,871,521,747,397,109,268,744,084,902,971,214,685,027,350,368,889,920,
989,851,103,108,542,129,503,284,920,383,287,700,065,436,339,547,853,401,315,
400,687,037,214,735,179,316,344,660,790,604,778,994,622,026,937,614,740,202,
352,481,185,503,988,573,289,992,327,796,601,786,331,687,867,759,376,162,380,
062,016,580,548,418,752,220,247,728,100,395,346,315,256,314,921,020,652,427,
517,858,666,325,808,273,408,560,216,933,301,423,504,629,450,306,423,138,220,
360,444,659,189,377,428,861,040,993,458,410,876,127,459,152,426,381,770,206,
203,468,967,054,566,121,253,012,331,634,196,700,785,123,458,555,293,759,592,
958,002,463,788,519,529,474,033,367,421,241,033,294,855,009,739,328,057,868,
825,217,447,247,321,179,571,458,212,923,875,778,164,815,932,524,924,575,601,
994,875,314,386,142,937,863,792,692,646,306,832,746,655,182,535,876,161,530,
985,119,497,359,610,795,926,078,829,819,003,036,074,206,389,782,932,241,696,
475,716,635,200,956,683,164,036,083,356,860,824,747,361,278,526,259,456,779,
657,140,489,786,803,077,941,318,651,055,390,947,562,925,835,076,143,376,879,
639,878,637,275,657,989,088,242,627,420,049,010,730,404,525,413,130,975,199,
611,786,007,683,862,156,611,924,462,124,482,337,930,907,258,282,680,808,280,
646,927,588,261,347,283,240,025,035,852,939,484,559,950,711,622,751,673,692,
784,046,150,260,663,008,174,676,192,126,519,469,157,597,422,882,130,841,372,
711,991,233,275,325,986,902,132,643,549,447,924,685,525,852,704,979,965,439,
253,341,531,287,717,938,917,825,218,626,462,368,966,188,549,029,209,190,185,
381,171,348,424,748,844,145,082,601,404,564,292,058,335,997,215,493,738,890,
871,469,129,870,799,724,902,005,852,313,680,315,122,903,619,373,633,423,900,
981,462,840,374,502,937,621,694,959,897,269,468,873,160,895,782,773,779,690,
706,372,115,849,601,891,316,587,250,401,917,077,201,761,124,029,532,288,209,
276,339,978,524,211,461,537,083,666,360,598,388,080,140,855,816,789,650,081,
229,173,071,940,892,700,262,501,942,084,848,417,998,824,990,020,580,679,759,
234,520,719,765,947,285,763,122,222,528,612,083,220,905,364,045,797,634,877,
230,121,002,074,602,048,817,833,275,462,121,811,132,543,109,778,190,122,912,
733,562,852,430,081,615,380,870,588,393,815,416,220,300,213,515,438,162,297,
298,480,385,587,420,252,480,657,561,216,015,376,467,566,307,705,754,117,029,
659,072,205,099,155,800,609,663,360,874,008,707,304,929,842,843,762,834,334,
502,057,380,151,936,195,314,599,715,918,096,513,197,426,523,123,978,390,553,
952,788,784,975,755,078,587,774,403,922,160,510,337,195,360,046,344,550,189,
531,516,623,200,848,360,882,963,084,894,796,157,967,558,864,607,700,886,523,
040,413,498,086,418,611,880,598,470,290,960,854,643,508,272,576,022,111,798,
641,601,382,360,109,033,671,045,424,166,228,441,313,354,153,606,789,094,471,
627,227,775,320,116,250,270,364,818,417,367,488,897,296,276,666,999,880,884,
839,701,895,768,566,119,348,396,304,286,022,771,787,217,703,003,917,407,429,
797,504,748,097,799,730,326,528,370,479,892,154,701,709,527,907,397,155,413,
177,869,085,577,993,628,344,264,032,296,587,441,716,101,695,057,357,067,586,
814,971,261,474,546,743,953,554,812,672,698,435,792,566,857,756,208,409,723,
071,922,650,342,727,288,891,224,617,959,172,082,127,299,189,592,438,470,166,
840,716,223,093,638,785,571,387,497,305,442,154,568,891,742,433,338,043,118,
193,606,032,414,568,844,158,494,063,167,558,572,286,322,528,779,638,094,500,
165,914,688,578,258,870,913,630,454,790,564,966,899,571,177,975,424,669,354,
777,822,439,630,722,324,696,436,239,182,735,841,331,494,459,106,552,127,440,
902,499,240,884,725,744,714,606,492,012,378,474,833,413,310,249,789,571,929,
544,606,482,685,843,790,642,414,551,366,622,742,289,173,520,138,461,124,814,
044,601,239,177,678,241,523,892,309,336,544,953,116,172,481,740,533,502,073,
482,332,236,914,764,010,110,501,948,175,398,329,817,867,414,336,729,410,859,
445,824,147,624,661,407,283,327,393,189,032,122,342,986,716,000,386,186,954,
476,286,680,540,035,837,964,787,634,888,165,416,289,866,697,878,411,331,074,
660,297,382,117,032,399,759,736,194,300,273,254,145,588,560,760,767,393,635,
749,346,630,422,489,005,957,359,207,075,581,019,185,639,660,509,231,549,199,
599,356,784,811,066,944,342,852,817,286,504,872,579,570,090,908,270,516,212,
537,520,854,357,606,643,733,551,243,148,040,380,535,062,607,883,970,123,182,
385,648,210,504,063,602,412,733,392,553,448,909,184,689,972,741,726,807,064,
183,630,914,814,527,715,910,980,949,645,177,210,091,745,145,748,246,570,947,
182,674,298,946,712,227,750,914,438,378,655,858,819,221,373,739,770,156,052,
981,315,263,829,960,949,398,384,418,906,802,815,780,808,943,457,567,530,579,
461,681,551,510,641,099,068,190,211,290,856,306,741,951,661,014,179,331,931,
746,372,563,721,420,856,247,188,646,312,304,397,579,793,769,136,331,923,912,
410,708,950,570,844,101,885,053,921,422,002,852,419,399,089,464,158,595,703,
088,366,618,646,817,497,295,049,119,338,019,064,933,872,139,395,563,341,517,
316,595,066,912,151,638,575,954,249,577,692,101,025,512,150,288,781,256,509,
863,285,261,926,605,009,585,937,261,442,766,255,858,789,477,828,350,773,006,
164,159,454,642,537,676,242,448,450,652,074,548,409,091,571,313,707,752,159,
758,860,490,618,995,672,571,542,783,346,264,702,988,587,322,420,159,424,786,
909,781,530,151,203,158,994,692,902,473,377,557,033,975,418,170,650,229,546,
838,234,167,273,105,899,577,652,682,370,705,489,777,681,336,056,525,484,025,
957,079,896,387,897,921,463,458,816,896,449,340,683,299,995,923,796,530,857,
190,319,209,077,822,113,941,054,366,278,937,675,184,747,362,525,730,536,116,
918,317,078,483,978,361,707,539,602,945,222,504,975,150,308,386,494,709,239,
658,973,315,618,632,572,881,480,808,536,872,673,582,315,330,340,576,841,680,
453,207,828,793,872,442,448,251,558,456,185,090,001,740,882,177,648,025,432,
352,369,152,102,852,786,488,952,913,173,476,472,924,845,240,677,344,398,485,
948,100,634,850,691,936,950,716,780,329,913,590,628,192,626,374,961,372,123,
313,895,895,145,601,382,193,256,942,033,874,495,411,120,636,319,660,967,263,
023,796,075,383,382,920,869,289,330,751,302,748,219,923,966,841,931,272,835,
556,609,045,296,792,100,378,246,054,344,281,469,181,128,898,963,493,955,607,
376,848,584,354,886,713,080,116,664,306,210,732,295,574,462,952,007,593,670,
841,848,898,243,013,217,769,397,446,870,937,073,991,179,844,552,651,827,860,
841,695,529,974,687,133,922,296,039,370,878,958,527,438,587,003,439,734,703,
697,041,602,721,331,682,929,003,567,578,610,344,272,606,856,001,681,728,714,
891,610,516,824,481,491,847,502,473,278,098,099,354,670,099,496,581,057,659,
969,118,695,581,670,210,997,600,226,106,619,549,948,025,151,973,668,932,846,
430,936,398,043,531,602,736,671,398,700,343,558,608,393,866,146,828,816,403,
715,507,451,275,063,821,727,691,409,228,453,046,537,327,991,477,735,669,902,
928,998,799,254,277,454,583,933,875,024,759,537,485,785,728,140,960,639,620,
924,899,804,950,806,250,211,757,387,135,834,064,851,669,085,617,569,189,822,
912,555,444,819,785,484,796,581,356,753,850,519,592,769,698,276,166,625,263,
336,226,865,217,916,968,108,220,974,446,442,991,233,608,903,438,586,112,156,
226,993,869,753,636,268,114,492,071,473,310,371,150,818,833,329,385,275,063,
257,077,755,918,412,646,376,837,762,385,164,728,096,993,840,332,200,972,348,
964,709,664,227,561,316,042,345,903,077,705,544,788,372,901,243,179,784,286,
262,262,495,372,316,537,621,696,522,347,517,356,101,149,501,436,795,140,242,
087,212,637,467,415,154,272,749,609,454,779,668,117,831,510,415,635,867,543,
977,568,788,336,019,028,950,995,480,587,231,100,942,499,583,156,420,593,661,
663,803,684,581,044,731,807,200,674,458,524,501,521,382,019,986,076,848,607,
868,723,453,677,710,079,034,962,099,103,850,685,585,854,445,447,124,464,787,
783,958,990,435,295,019,224,340,171,940,608,669,779,919,679,237,995,678,681,
546,992,453,733,620,987,337,284,693,527,078,352,416,419,536,175,223,023,772,
996,858,682,930,084,291,717,083,617,878,766,241,453,396,640,326,653,625,071,
623,993,404,440,833,532,361,367,622,006,706,505,473,546,295,153,383,245,559,
209,194,000,235,316,999,012,496,642,292,076,088,695,457,677,244,676,206,844,
811,996,364,065,450,379,504,355,788,808,005,802,418,079,377,910,291,030,567,
209,609,766,176,733,409,388,473,647,214,591,071,260,927,359,029,910,248,370,
829,163,145,188,395,943,963,495,584,741,727,257,180,627,782,681,004,267,772,
854,024,389,679,478,932,629,591,370,508,754,898,581,577,601,991,100,542,886,
446,765,315,748,215,581,783,394,997,667,165,949,028,191,562,130,489,877,473,
606,814,123,726,434,685,983,416,512,833,315,284,231,071,995,222,624,857,808,
249,414,766,618,518,249,515,559,672,109,872,683,617,903,181,961,550,465,316,
596,087,558,254,787,465,490,147,341,002,094,089,367,968,471,961,855,522,945,
994,448,956,936,856,873,544,334,926,270,218,166,334,084,495,169,459,409,597,
528,862,984,064,449,210,020,286,311,488,667,918,080,853,272,642,525,804,015,
997,548,682,433,599,437,839,649,132,046,310,079,757,869,980,166,685,105,764,
986,756,370,501,876,203,477,364,495,174,615,400,469,278,005,148,408,964,989,
239,867,113,495,622,996,330,246,156,105,924,737,121,558,597,670,371,090,427,
687,208,109,312,036,388,224,184,153,469,732,752,566,561,443,392,930,622,336,
536,139,171,175,049,399,702,465,505,120,263,312,862,763,995,422,640,169,390,
277,678,697,246,918,380,515,785,772,980,614,574,491,081,361,884,376,851,521,
040,027,235,290,407,410,082,463,901,774,608,767,384,747,880,959,971,005,338,
633,604,907,125,494,361,804,572,918,863,567,970,241,596,557,405,489,783,195,
699,455,724,414,054,317,461,613,788,533,041,117,449,979,146,105,267,318,868,
955,537,722,261,575,983,458,264,935,666,489,622,824,231,283,713,344,325,167,
035,534,014,559,113,990,832,282,722,788,572,242,543,297,944,999,220,976,433,
941,338,160,097,896,651,945,582,986,729,370,161,558,216,447,067,858,968,069,
750,230,508,571,553,995,129,276,747,945,734,761,825,000,340,271,210,313,345,
231,478,271,892,292,345,890,147,373,280,075,158,095,326,154,305,609,505,055,
457,743,889,567,537,020,765,322,846,523,254,114,345,057,001,582,782,914,599,
550,382,032,070,306,834,068,838,062,922,801,908,005,966,827,589,722,531,074,
124,249,112,766,991,241,758,846,354,127,763,682,834,544,150,014,925,852,216,
197,371,503,701,838,011,387,345,601,598,540,549,044,234,412,345,638,713,176,
275,457,788,099,452,868,211,935,735,270,402,642,850,736,168,321,598,135,559,
493,947,631,130,479,720,887,194,916,180,482,202,480,193,966,174,159,826,598,
580,566,602,141,551,163,653,385,264,446,105,508,837,333,268,351,097,225,698,
869,786,858,168,356,599,393,922,647,264,735,321,585,632,225,273,080,089,411,
934,267,833,524,565,974,567,071,333,977,208,905,678,989,966,701,124,512,713,
027,385,905,197,214,430,373,929,326,308,936,569,260,891,788,737,604,930,383,
365,054,261,732,157,041,394,036,160,763,700,099,684,060,373,563,969,390,140,
963,230,674,359,192,144,354,331,696,489,558,636,217,350,920,486,927,056,704,
687,253,867,619,838,524,639,530,524,403,389,686,305,470,466,013,242,410,873,
314,593,507,322,487,669,916,303,875,306,314,502,796,714,947,234,484,214,852,
248,889,537,948,529,246,417,344,415,688,780,041,569,388,647,468,523,700,503,
055,572,687,778,649,533,611,588,459,951,597,295,533,106,846,185,495,815,986,
919,510,454,494,809,428,105,214,514,495,614,390,648,317,684,195,951,439,316,
279,447,583,639,153,344,346,950,840,707,784,537,092,584,343,187,165,940,824,
519,984,814,142,233,854,946,133,373,993,063,819,501,406,288,336,425,460,971,
640,798,577,696,783,433,667,128,768,311,885,043,415,584,887,462,342,944,546,
895,010,568,448,130,955,140,333,840,217,577,913,886,694,455,914,341,296,346,
922,687,252,953,688,174,328,063,546,574,122,055,288,942,882,840,201,122,347,
168,730,642,209,781,362,769,567,140,281,305,413,071,166,778,346,048,640,820,
307,418,711,623,898,963,750,485,973,487,701,371,722,190,394,499,433,263,006,
678,548,726,753,118,333,915,852,693,459,908,303,310,964,198,665,588,227,820,
933,003,902,466,605,070,853,564,727,632,022,513,048,271,548,282,742,364,925,
138,471,863,192,014,193,337,224,451,290,387,174,603,238,196,409,198,534,671,
291,509,521,352,359,333,460,664,831,324,703,864,817,328,698,221,710,913,696,
735,496,584,037,197,964,093,981,298,402,158,270,324,699,291,258,892,284,911,
895,894,947,788,572,454,014,478,186,097,957,501,187,787,853,132,822,787,700,
364,490,666,709,838,754,886,868,677,962,153,247,169,476,743,797,128,915,432,
278,045,912,009,473,121,072,052,183,872,382,034,265,104,495,801,689,582,274,
217,701,369,849,434,703,060,243,927,532,638,211,201,597,260,316,634,435,791,
141,134,015,808,022,961,200,173,832,270,370,922,357,871,218,076,586,648,043,
679,908,371,669,962,607,630,399,246,721,344,350,212,210,458,690,252,197,583,
049,822,173,766,229,341,112,539,177,276,285,464,618,337,407,835,737,159,497,
118,630,898,606,535,692,718,326,229,244,885,617,930,591,078,890,854,266,503,
603,532,243,591,660,073,805,291,961,770,244,205,280,367,380,160,067,227,144,
153,882,354,894,890,856,423,798,638,808,281,936,683,845,247,446,020,193,707,
129,066,647,614,700,333,573,942,706,408,627,875,784,028,937,028,743,206,487,
939,717,791,704,276,397,786,885,649,127,238,841,897,036,567,323,202,767,414,
894,194,575,511,472,994,020,280,003,432,732,902,466,165,765,067,370,932,842,
696,803,026,477,212,813,373,899,318,840,452,411,360,187,096,917,280,142,258,
147,191,936,639,898,902,287,133,277,291,191,187,522,418,855,380,281,535,956,
990,417,608,555,971,701,512,507,910,105,137,263,545,288,497,113,930,478,251,
572,774,512,244,138,601,226,602,655,147,836,400,077,062,318,754,184,595,137,
711,389,108,672,177,756,735,593,787,879,691,721,869,476,006,821,482,098,380,
546,978,406,671,588,198,767,483,424,027,845,490,709,776,690,893,073,208,932,
058,802,508,609,368,398,622,519,443,302,703,935,683,616,237,909,621,683,366,
101,845,207,661,032,356,873,864,270,171,595,913,691,600,025,735,565,646,741,
178,508,918,266,106,917,238,417,967,181,449,761,744,055,522,664,986,280,617,
850,922,933,361,166,244,066,484,045,579,105,646,027,486,044,241,982,265,898,
502,856,869,766,381,887,710,037,297,575,751,521,605,781,982,042,908,541,865,
783,325,426,312,100,112,208,206,471,441,372,321,701,795,228,452,238,871,640,
459,833,069,427,534,627,803,879,260,778,216,790,697,442,214,924,866,758,772,
935,176,578,534,580,805,872,982,902,665,632,348,536,028,211,295,328,814,227,
113,183,428,223,349,579,120,001,416,479,048,497,972,451,898,299,379,973,343,
685,956,541,529,030,126,703,902,179,019,618,844,226,491,233,189,257,794,164,
605,560,290,213,674,975,886,290,134,573,278,996,667,233,372,233,360,798,376,
955,290,738,200,941,782,402,800,527,649,135,286,340,725,390,090,787,713,286,
063,428,040,893,588,245,632,835,270,137,210,220,547,134,400,213,309,141,442,
975,697,629,266,851,043,235,112,002,066,333,536,677,433,287,494,265,974,631,
472,407,461,622,218,582,827,137,001,300,750,531,837,981,932,113,577,371,371,
385,209,897,843,785,314,932,725,468,297,443,422,241,692,876,858,945,644,585,
716,638,218,030,838,105,533,426,164,023,609,888,310,568,218,525,897,334,614,
602,441,206,471,611,235,345,655,822,242,501,242,861,802,537,271,368,043,688,
046,852,609,990,428,799,446,575,959,582,924,554,467,053,841,313,507,610,677,
357,379,093,171,645,701,801,008,708,297,675,761,878,542,973,007,526,782,999,
928,224,328,056,869,231,661,902,251,107,010,238,282,355,341,731,628,527,708,
978,356,458,446,848,907,809,519,981,496,413,713,375,625,338,932,255,224,102,
190,644,258,999,863,063,137,691,074,691,876,699,350,401,978,036,884,892,439,
651,198,600,427,874,720,808,272,283,040,952,668,652,233,597,248,461,909,581,
734,031,918,019,946,247,981,796,887,997,652,468,311,419,312,764,858,024,231,
433,850,101,740,221,212,218,961,512,781,814,585,119,395,311,027,576,807,187,
217,386,926,315,482,224,196,350,291,299,090,672,122,014,161,947,266,650,032,
181,110,161,195,881,578,681,703,126,776,350,366,129,408,248,413,473,580,747,
229,000,912,603,480,620,972,967,427,465,622,724,594,280,536,195,513,650,031,
944,486,855,058,879,050,335,716,674,446,395,113,671,817,019,230,662,352,712,
083,408,079,460,584,880,677,128,621,936,096,707,940,858,585,463,017,005,097,
513,120,467,478,469,448,671,150,270,178,731,807,955,092,477,654,029,735,756,
148,247,375,293,575,655,044,968,104,487,067,755,258,487,754,819,311,901,049,
740,130,222,964,085,438,269,962,739,110,861,658,697,601,336,205,302,345,655,
984,139,152,132,395,257,368,663,691,008,127,617,646,019,929,676,313,845,946,
906,344,078,962,819,348,488,859,421,723,941,562,034,960,109,167,255,492,452,
761,756,110,536,920,902,605,886,901,355,100,313,362,325,084,332,040,481,368,
131,894,685,676,058,772,918,764,203,644,383,000,235,104,030,714,531,381,027,
162,041,162,968,793,015,969,921,331,095,712,766,051,889,568,084,214,948,056,
684,640,017,719,856,570,487,511,616,468,585,061,696,527,030,563,444,926,618,
121,855,059,828,005,929,480,657,817,286,679,049,530,202,388,849,101,104,773,
406,239,932,645,029,731,625,086,711,925,609,745,602,480,539,569,743,711,746,
705,905,991,802,381,714,868,903,814,180,548,227,937,356,631,235,957,336,054,
684,997,287,927,579,300,153,836,307,575,118,888,950,456,164,419,438,837,475,
585,652,707,945,570,168,264,466,081,687,667,888,913,637,514,754,813,091,863,
491,787,581,533,614,319,711,083,024,332,328,081,451,322,154,818,627,680,607,
084,878,814,163,089,535,405,680,270,581,473,601,715,989,324,914,837,315,271,
245,425,153,835,114,668,478,613,518,293,596,390,111,360,892,936,935,591,208,
635,406,470,892,897,954,212,121,413,667,082,319,326,612,353,372,984,437,784,
745,697,823,921,518,487,284,962,834,235,311,666,634,235,555,736,683,508,416,
546,563,352,012,761,891,871,832,230,610,809,894,979,581,351,755,656,911,146,
361,061,220,178,871,940,593,678,120,810,187,314,035,004,571,193,449,355,661,
112,679,288,361,843,837,568,982,726,442,628,713,845,153,561,991,923,035,050,
418,329,753,104,126,939,031,114,558,148,393,908,672,188,622,359,669,337,684,
604,605,485,979,074,739,398,226,591,667,202,600,528,402,991,652,122,741,972,
160,869,917,076,067,483,489,210,453,399,941,017,848,988,104,480,538,470,268,
975,461,871,579,056,279,557,426,050,461,788,697,803,419,811,570,991,766,500,
977,609,214,410,608,725,338,320,464,109,888,418,975,571,829,552,117,416,456,
813,312,164,862,750,974,742,871,103,375,031,221,068,612,432,531,991,153,964,
210,238,479,846,022,729,412,143,703,642,843,837,881,076,971,317,788,446,473,
504,528,356,608,759,016,107,568,629,203,743,238,558,771,598,417,360,151,295,
054,084,679,205,260,829,990,519,401,080,348,226,723,569,606,676,199,169,274,
988,037,141,242,834,854,737,029,200,537,521,297,902,734,693,447,787,807,040,
068,195,097,872,352,128,712,152,793,919,031,805,684,874,567,269,714,450,267,
903,863,003,061,254,268,889,505,519,744,699,703,175,467,037,034,678,484,464,
930,570,487,015,504,535,030,833,316,737,199,159,894,182,187,197,947,790,361,
910,642,400,903,407,292,997,571,146,423,913,606,087,811,318,522,554,711,422,
769,745,544,786,846,929,091,196,670,953,132,425,038,938,084,273,136,504,021,
865,080,473,564,744,291,089,513,990,606,327,511,390,438,951,187,441,618,832,
128,326,925,919,602,758,371,947,220,795,811,294,701,506,592,817,511,437,493,
975,909,002,963,844,886,814,496,868,332,501,497,378,842,516,272,973,639,628,
342,913,614,698,832,796,514,399,223,584,585,977,952,548,801,095,618,396,881,
730,793,155,274,299,665,728,659,444,949,358,197,574,469,028,291,356,447,417,
008,895,395,054,199,223,691,063,296,774,844,802,599,015,618,375,066,968,317,
355,138,187,467,045,934,356,829,423,328,228,103,108,717,578,843,997,354,199,
840,901,860,868,481,404,697,470,465,306,354,043,308,590,851,829,166,882,240,
162,796,259,226,076,120,194,985,939,573,192,510,434,991,098,499,804,903,216,
073,075,174,082,319,655,463,025,206,311,507,910,111,188,071,021,096,571,393,
440,750,191,800,511,708,582,734,266,483,495,238,105,125,700,807,971,467,738,
395,438,666,283,962,782,157,630,800,708,404,914,128,426,903,779,231,006,500,
857,168,258,522,387,170,110,777,501,461,993,373,079,932,231,457,445,442,107,
552,992,597,560,270,999,977,478,321,488,793,435,693,686,040,925,254,955,043,
248,675,807,207,179,213,616,935,494,103,783,708,024,878,847,609,318,263,595,
342,510,476,616,065,989,117,496,662,962,152,596,753,132,109,291,611,759,094,
309,248,320,620,422,747,953,095,832,662,758,554,792,696,102,912,080,547,569,
236,781,339,386,638,814,947,276,435,583,672,114,608,084,723,905,034,255,519,
164,261,320,401,949,584,070,348,456,977,818,056,694,576,463,598,999,239,733,
417,942,866,387,786,245,370,618,934,254,864,469,468,734,263,556,249,256,091,
639,871,989,126,739,059,044,419,888,462,625,505,516,653,970,117,585,693,620,
416,871,948,211,192,085,862,288,666,893,012,025,031,092,404,907,074,456,895,
040,218,586,134,339,499,142,240,326,051,007,775,770,239,761,983,080,975,379,
110,052,314,920,612,596,273,320,761,463,114,778,215,045,792,628,184,004,336,
338,219,171,565,568,425,670,639,868,637,224,550,368,092,004,400,023,771,874,
826,740,877,432,989,687,162,212,292,677,923,363,800,790,922,823,808,694,616,
570,575,800,805,380,743,357,917,655,469,078,042,983,179,766,179,654,197,315,
780,443,773,904,475,663,919,133,026,422,225,942,753,442,389,245,931,601,000,
101,888,777,912,888,150,285,754,896,210,094,196,097,476,574,107,571,250,413,
291,433,372,039,934,698,649,171,894,599,705,323,436,966,105,419,991,547,292,
942,917,793,901,296,707,197,896,743,399,223,522,731,572,627,011,440,185,054,
153,533,296,286,147,935,182,391,112,626,202,856,338,772,741,758,302,067,170,
347,642,208,676,652,215,494,919,411,306,528,677,604,751,441,114,388,903,085,
534,411,004,364,829,718,591,815,412,217,324,154,443,234,304,279,168,260,221,
932,788,932,674,148,376,039,730,683,917,453,923,198,042,205,439,476,496,465,
444,812,442,248,393,438,401,385,923,428,489,727,668,658,169,833,723,709,329,
330,301,227,047,812,106,891,099,917,289,890,399,196,413,181,582,228,867,653,
054,898,092,822,270,492,064,992,351,389,216,561,262,704,279,260,177,071,828,
694,249,749,373,083,073,339,340,059,079,899,602,874,576,313,959,489,260,704,
181,054,677,528,995,871,899,413,698,923,827,870,067,987,560,027,852,850,924,
667,465,186,669,029,951,180,937,480,298,408,553,742,925,313,777,294,250,499,
474,403,031,965,714,661,550,664,763,743,109,012,666,841,776,647,006,484,658,
868,763,744,774,202,571,439,907,557,935,552,727,219,175,841,143,691,527,167,
422,445,822,565,615,044,059,410,697,314,602,077,917,029,521,662,041,345,298,
384,161,609,271,412,457,119,666,478,866,424,513,255,546,233,295,679,718,806,
960,498,206,157,385,270,426,704,733,638,941,750,316,435,720,881,964,866,612,
431,226,454,592,443,524,277,419,597,768,972,687,173,187,986,713,341,343,389,
916,734,903,033,753,276,430,414,137,622,337,108,230,500,499,202,200,486,136,
487,799,080,192,138,852,442,822,036,580,389,695,802,185,891,317,257,349,129,
814,067,291,673,592,722,128,817,016,075,513,560,414,136,358,594,264,416,202,
295,867,800,131,440,261,427,325,761,925,342,677,779,582,717,797,898,662,937,
989,580,937,504,035,915,149,625,641,299,527,146,409,757,121,888,920,503,892,
501,047,164,089,444,874,839,841,716,522,766,541,742,121,208,423,517,568,679,
842,271,103,359,400,900,492,712,291,483,761,198,865,156,907,794,567,899,254,
475,323,165,326,730,025,064,780,829,718,370,398,349,765,998,805,934,991,075,
757,200,426,711,285,136,347,645,914,779,796,107,517,582,267,101,363,437,056,
887,285,256,191,410,951,124,523,796,636,440,970,822,591,368,794,391,134,330,
261,493,061,305,759,169,244,645,137,191,912,738,352,369,805,721,952,745,412,
489,842,081,334,390,991,895,317,767,760,830,550,891,621,751,302,567,174,841,
619,591,184,343,723,701,942,742,127,725,094,212,622,731,990,776,991,140,992,
531,616,766,918,291,550,196,407,672,600,365,028,253,543,765,386,279,197,465,
820,991,015,040,397,693,563,520,897,245,572,123,645,742,293,855,548,964,446,
581,741,764,625,505,782,660,923,920,928,850,330,842,512,145,374,686,884,285,
116,857,675,846,881,969,933,499,965,626,477,553,363,964,727,869,935,402,465,
089,676,234,690,952,444,911,843,765,477,048,166,052,962,972,371,159,861,070,
929,175,989,471,796,438,830,280,397,858,272,879,812,467,506,305,333,578,638,
206,067,070,381,106,625,221,848,586,488,821,507,072,421,202,313,412,748,124,
823,207,514,057,284,710,694,712,891,420,138,850,758,502,101,470,385,808,506,
674,625,285,641,007,303,331,826,383,097,891,002,661,424,835,709,237,816,635,
964,755,171,429,412,144,842,817,520,533,700,018,057,073,658,275,196,141,838,
579,269,481,133,286,345,128,024,504,943,152,009,659,291,700,677,956,616,337,
655,919,689,043,740,627,028,111,084,078,715,507,200,946,168,923,597,754,861,
591,362,278,008,809,211,267,992,832,349,672,711,950,595,091,711,905,444,021,
284,202,140,962,161,323,721,361,935,194,848,240,149,459,693,888,390,909,148,
461,404,188,533,616,396,831,294,063,596,739,188,523,058,389,006,641,051,698,
312,407,244,040,012,769,701,277,065,001,357,014,539,080,740,760,276,386,847,
157,901,978,045,524,104,103,971,412,605,392,522,812,726,390,033,868,900,808,
359,584,729,354,676,734,717,831,536,097,696,429,418,382,294,765,262,601,859,
801,439,776,563,970,235,660,548,601,483,490,186,271,059,119,212,017,463,935,
087,194,148,362,597,789,411,599,660,330,432,620,155,747,251,448,841,104,747,
765,269,690,302,087,557,962,080,931,333,988,884,570,519,266,230,115,697,585,
337,920,686,722,383,008,957,920,206,916,700,879,785,579,185,915,653,778,083,
942,564,522,675,547,385,463,370,840,141,350,830,853,715,077,100,454,460,635,
089,558,960,703,187,367,024,246,479,186,132,502,472,240,178,692,802,820,592,
464,806,753,502,453,539,167,801,779,823,032,971,815,351,858,102,983,867,996,
489,109,882,985,328,856,725,357,599,414,362,726,892,016,306,538,123,763,715,
810,906,992,515,623,551,554,988,156,100,719,834,174,669,455,011,451,277,727,
186,935,266,019,411,508,582,247,302,928,437,236,529,132,981,873,772,840,398,
015,368,773,146,395,864,967,696,219,227,503,094,073,926,184,589,481,806,714,
485,109,475,147,360,712,205,919,822,666,418,528,318,741,248,425,564,376,780,
061,453,288,929,196,106,215,871,624,330,392,067,624,384,708,003,375,925,257,
609,649,523,810,128,017,868,145,585,377,635,127,070,068,638,035,624,018,003,
443,343,900,175,590,888,287,442,858,477,981,240,349,868,301,446,642,477,128,
406,487,389,755,292,137,272,705,167,112,214,304,113,669,311,261,460,313,974,
590,072,039,906,059,335,871,080,603,505,166,465,919,695,523,411,650,271,190,
314,644,600,645,690,468,325,111,992,638,048,865,103,665,387,012,558,332,871,
312,108,463,729,281,453,891,978,601,191,729,406,816,860,208,174,065,784,429,
400,828,245,947,237,986,858,441,050,725,156,303,141,862,895,968,591,920,659,
251,864,793,887,115,338,876,459,172,852,429,560,090,986,556,551,824,841,945,
058,931,885,939,465,276,704,817,302,106,569,299,305,595,298,626,406,744,370,
018,843,094,476,710,171,554,212,492,852,899,832,663,002,044,465,291,259,633,
939,699,239,516,197,833,642,145,526,979,341,717,776,246,871,544,049,754,562,
253,563,921,043,756,015,460,023,978,011,506,515,725,090,958,066,598,495,323,
087,617,380,396,986,779,350,328,086,528,038,075,899,150,390,504,684,772,230,
661,983,832,027,320,195,997,818,422,967,706,239,158,424,943,890,917,008,558,
896,079,093,381,034,249,617,600,164,226,057,057,400,778,384,560,238,351,153,
335,185,128,789,880,391,914,197,127,161,925,462,367,067,234,863,732,059,135,
783,592,419,908,875,357,899,789,603,671,206,781,823,426,461,011,188,251,706,
461,043,409,487,568,687,580,702,853,247,810,238,080,697,903,962,456,071,821,
406,426,592,917,387,425,199,772,624,517,045,234,312,417,255,270,225,075,877,
117,484,790,835,707,291,084,073,029,067,829,999,503,192,274,459,581,665,571,
452,817,223,447,718,131,054,417,930,493,184,322,951,202,939,627,488,881,496,
567,380,210,157,266,425,165,093,404,848,123,681,615,657,492,616,630,595,909,
313,711,859,776,374,041,992,473,736,488,984,420,397,968,399,811,874,943,392,
855,868,168,824,574,338,978,356,744,290,384,089,568,547,904,933,389,955,233,
374,701,266,471,516,938,510,310,924,622,675,416,053,626,268,765,145,678,508,
139,424,448,621,366,872,459,631,065,113,939,247,409,684,503,569,006,970,621,
633,184,946,293,047,944,920,787,554,680,598,512,896,053,736,051,695,761,994,
206,672,083,911,811,582,927,623,242,325,335,643,491,436,086,150,084,526,174,
863,212,443,754,145,759,909,974,165,854,881,931,284,633,339,457,632,733,847,
190,040,633,693,094,727,756,323,638,117,739,160,192,312,850,784,344,087,798,
638,353,074,081,927,788,208,654,811,367,167,624,247,571,157,389,445,273,259,
736,216,767,536,229,715,949,384,390,264,272,393,865,289,037,583,698,635,776,
315,199,953,328,833,889,387,958,434,855,551,912,653,379,241,772,085,130,295,
015,128,966,297,680,457,092,826,422,061,888,827,819,958,928,908,814,032,751,
545,181,726,885,650,106,006,739,124,408,750,198,547,161,289,665,578,880,518,
103,565,964,676,221,122,746,228,987,758,565,796,076,488,242,964,241,322,855,
822,254,152,002,736,600,594,887,469,639,998,673,731,961,123,632,228,325,195,
997,709,559,477,942,380,889,470,400,887,110,715,556,256,485,561,386,512,915,
394,515,844,131,198,981,005,928,540,269,338,595,768,597,275,729,440,501,456,
785,738,810,045,099,821,024,755,688,254,019,792,790,771,382,493,324,998,907,
304,681,541,763,381,175,361,417,055,677,295,492,552,014,048,519,295,875,257,
948,503,417,545,664,850,980,363,120,593,187,764,418,383,969,065,555,421,915,
572,302,851,953,033,134,319,512,519,544,794,483,589,620,888,912,904,848,203,
061,586,708,294,637,335,605,452,743,165,318,913,095,797,901,798,314,936,373,
748,154,308,244,259,827,097,369,878,544,526,260,205,343,520,008,769,794,051,
392,624,467,542,894,401,071,712,064,324,418,649,308,785,725,777,048,280,171,
939,117,428,872,715,547,625,683,873,404,455,794,404,438,516,658,734,311,989,
009,868,464,243,547,541,718,225,350,516,907,347,056,616,079,797,667,837,535,
415,412,492,743,110,373,573,335,581,853,179,629,705,344,833,307,456,725,901,
381,779,517,062,693,832,719,386,976,881,343,639,508,942,826,749,460,325,141,
396,069,927,439,184,305,367,398,598,755,104,638,104,564,514,044,849,225,044,
525,408,688,602,071,004,716,538,563,552,137,850,225,846,292,124,409,949,741,
306,317,927,425,467,651,153,816,937,129,448,239,343,167,962,856,475,653,188,
360,136,129,174,779,962,616,581,372,816,293,288,988,312,620,664,891,335,156,
987,224,124,208,883,441,624,797,026,434,413,409,389,595,974,180,759,412,426,
943,752,857,705,929,923,566,191,167,207,847,845,111,459,002,576,663,741,402,
935,206,817,803,723,643,809,471,964,247,960,167,899,475,641,797,260,958,599,
804,965,854,463,573,628,348,953,334,779,568,869,090,911,813,601,718,783,178,
626,345,439,538,576,076,928,990,318,675,798,836,105,802,575,595,857,645,094,
969,714,558,014,570,577,845,840,284,869,025,873,830,880,764,996,009,814,418,
778,305,248,819,233,490,949,312,706,404,077,871,110,160,467,824,498,270,388,
630,086,503,748,151,548,689,400,932,389,213,677,918,144,803,880,538,164,747,
102,224,315,689,741,157,472,029,487,527,365,010,515,776,235,258,509,376,672,
469,648,985,397,774,865,044,221,424,048,430,591,569,172,708,216,848,545,223,
085,121,298,542,327,075,004,400,889,965,609,665,658,539,284,661,930,459,063,
640,581,901,256,647,071,031,369,612,811,014,222,176,366,509,430,664,496,789,
984,958,515,700,872,950,829,751,041,685,092,965,425,551,575,531,828,472,826,
996,782,174,258,169,007,803,800,149,668,778,390,982,655,658,756,517,229,211,
929,600,254,519,988,182,126,514,257,835,912,578,246,374,906,016,343,625,857,
219,726,081,185,471,719,324,461,887,306,873,211,738,863,515,611,744,218,442,
811,925,472,837,656,203,777,612,037,604,248,503,305,323,427,224,121,381,590,
393,341,993,012,176,641,603,055,360,403,334,367,846,176,420,592,326,249,025,
904,789,199,000,729,359,315,623,706,022,092,440,336,543,999,851,300,148,524,
703,724,514,927,364,052,372,187,118,097,422,992,751,448,261,652,689,233,465,
724,985,961,684,648,297,573,727,756,361,993,049,944,105,101,799,625,808,906,
162,015,545,556,542,147,140,742,046,579,293,602,429,560,601,738,587,540,990,
841,099,170,081,540,725,877,735,189,544,284,840,026,467,582,677,670,735,849,
351,016,638,855,827,430,072,320,851,144,180,510,921,472,406,892,640,918,003,
622,477,801,922,017,740,483,605,529,579,042,488,728,638,821,967,624,182,328,
373,003,085,239,401,831,058,022,761,348,920,487,460,055,618,772,053,659,581,
351,594,635,464,084,267,017,588,768,650,383,847,557,744,015,906,601,309,984,
518,573,468,338,329,409,672,248,980,076,408,528,299,007,291,148,935,922,050,
783,878,965,781,774,091,864,841,958,674,482,642,765,337,704,177,116,544,271,
237,608,874,402,730,467,443,132,308,576,134,849,581,524,798,287,334,332,875,
859,389,468,992,286,363,109,423,782,478,642,809,931,515,109,707,467,575,576,
972,164,627,745,917,028,719,726,527,100,196,248,577,192,131,885,892,797,321,
392,807,693,597,115,781,238,462,960,598,452,229,175,692,349,343,284,007,063,
374,825,426,601,679,186,053,539,122,557,648,687,540,719,137,674,004,570,045,
447,504,899,491,199,594,825,163,019,114,015,243,395,711,056,040,429,044,165,
836,402,267,707,241,516,195,227,722,088,455,362,707,700,491,829,758,395,482,
795,732,453,654,065,569,285,258,951,797,683,220,817,451,977,692,516,793,621,
629,491,582,336,503,855,471,246,707,807,273,908,138,087,332,275,316,646,172,
638,863,633,140,402,489,717,630,647,608,616,614,519,218,385,586,585,619,615,
170,678,773,133,938,741,936,307,230,496,627,651,233,735,086,233,019,913,638,
422,305,223,864,698,937,056,063,530,899,894,950,797,369,784,304,572,337,388,
439,544,963,865,218,216,298,373,550,215,602,171,170,394,043,344,515,911,829,
235,688,100,409,461,212,432,370,857,025,212,960,752,752,552,283,966,823,428,
911,204,694,977,149,481,027,548,851,619,355,941,790,618,936,139,364,323,710,
356,960,734,140,415,293,066,120,390,860,194,771,030,899,104,784,518,859,302,
030,552,065,323,719,015,134,513,469,063,780,924,659,415,476,367,862,604,386,
181,818,108,099,665,868,447,380,759,984,034,847,416,009,193,086,481,102,141,
928,893,829,710,208,605,568,918,507,227,751,474,297,958,871,529,350,801,381,
115,645,866,543,760,520,426,959,789,840,976,780,651,644,543,787,250,878,408,
838,019,828,223,321,343,900,284,462,443,630,889,457,648,921,097,550,093,128,
687,422,253,921,616,832,280,662,040,712,936,422,046,981,775,819,587,893,663,
469,230,095,238,699,797,128,778,943,527,422,915,081,341,000,469,495,604,281,
496,488,017,420,386,062,825,873,856,368,073,927,341,306,968,552,758,215,330,
921,349,014,867,470,818,462,753,013,776,642,027,844,982,219,127,422,877,679,
414,970,542,141,216,574,521,476,241,230,572,800,180,488,892,260,584,869,978,
549,925,072,236,301,698,076,775,056,769,034,149,610,410,766,514,368,751,906,
848,583,182,979,727,029,961,051,939,583,392,227,701,882,681,246,541,304,882,
977,276,989,786,790,976,210,280,129,501,235,207,308,617,329,489,220,907,373,
806,831,690,942,266,385,107,359,698,739,201,669,709,869,303,780,836,938,408,
097,433,096,267,001,497,566,588,021,775,841,348,896,167,240,243,372,152,679,
760,375,765,395,639,255,779,088,357,911,318,275,929,485,311,994,525,616,642,
158,269,900,586,382,569,965,265,295,883,512,905,197,630,125,922,373,829,322,
197,719,500,052,723,235,626,597,717,367,120,737,024,458,057,660,973,358,893,
968,427,310,640,586,588,800,172,515,061,230,382,267,510,065,499,109,325,555,
699,331,425,372,313,521,548,797,944,706,612,140,995,658,929,460,781,589,181,
426,846,303,295,506,143,641,207,878,666,283,870,785,457,843,992,225,608,035,
611,406,805,544,288,148,050,934,161,653,866,187,640,568,729,085,974,001,261,
350,498,744,334,854,832,164,119,591,710,535,476,576,029,529,820,635,237,461,
113,357,778,750,681,980,661,741,241,529,201,438,834,384,898,802,879,017,118,
213,942,499,523,316,604,086,140,322,172,320,594,978,935,017,359,888,896,769,
617,081,289,536,662,158,841,181,769,946,847,810,098,336,645,405,084,937,871,
540,375,043,591,824,775,766,687,666,619,262,683,159,257,168,624,191,018,033,
668,312,517,441,618,797,705,843,178,129,300,918,266,835,713,031,493,065,296,
042,262,176,257,408,189,289,852,302,521,837,113,840,218,517,950,472,214,351,
816,498,382,792,577,882,700,151,744,922,955,905,540,997,975,616,410,817,271,
310,091,433,287,681,761,923,939,347,063,363,019,674,191,280,903,245,901,699,
224,085,576,351,106,986,760,654,440,738,872,621,970,980,113,056,293,691,251,
336,248,647,841,851,867,412,116,496,825,970,139,433,380,787,785,900,809,845,
957,420,682,474,160,366,300,819,868,008,808,383,312,373,610,741,813,078,569,
507,905,749,801,351,419,450,647,955,939,963,377,472,137,858,652,166,366,853,
596,821,051,977,078,562,098,793,279,432,933,676,856,929,684,342,350,366,961,
632,849,746,693,524,938,008,645,909,504,281,265,576,227,620,437,881,325,953,
973,097,869,404,509,115,254,966,540,076,333,090,534,584,904,841,418,946,866,
745,541,798,508,641,729,630,556,957,029,523,963,028,075,374,120,582,517,595,
877,775,446,942,908,399,621,857,472,076,248,376,999,899,996,676,111,925,714,
597,702,079,665,785,816,593,690,797,579,152,046,868,295,711,998,899,265,492,
660,600,711,392,450,796,747,059,424,560,509,827,821,136,486,142,707,086,464,
916,296,514,389,490,513,877,605,212,847,509,819,604,320,962,070,680,999,324,
623,490,442,779,128,186,042,595,807,391,980,372,475,168,865,999,241,482,098,
435,308,235,641,543,345,563,720,963,606,886,935,968,082,458,039,685,862,625,
828,390,490,449,956,332,034,256,101,394,035,764,536,887,354,896,877,083,666,
759,980,545,142,968,479,474,691,332,218,198,439,537,821,053,998,338,729,758,
392,190,448,095,786,312,566,669,823,777,837,824,946,107,801,812,464,764,453,
701,649,316,242,526,618,914,161,409,841,783,305,951,383,310,214,802,457,437,
937,759,358,881,183,503,027,212,760,530,261,810,642,998,200,710,614,533,520,
199,686,465,815,159,153,299,799,867,352,648,225,539,920,030,951,084,662,548,
294,430,501,370,100,011,630,766,348,497,064,428,813,723,782,463,901,058,281,
400,362,191,992,070,355,604,745,311,947,739,907,983,063,964,008,538,332,638,
308,448,815,634,113,136,275,450,548,846,333,796,324,119,570,737,876,974,977,
020,911,665,033,972,698,155,301,491,296,854,312,645,136,866,977,189,708,996,
242,260,324,760,510,316,739,189,076,214,446,613,482,253,118,688,451,283,903,
944,952,255,260,098,761,140,574,704,064,503,735,705,013,557,005,612,750,860,
636,660,734,152,878,440,636,298,341,314,825,884,498,169,590,180,480,685,132,
289,212,127,261,383,708,644,843,503,618,087,840,257,995,601,571,939,600,049,
680,014,107,370,588,297,300,028,826,169,567,858,404,504,145,775,673,592,633,
960,631,048,441,567,615,612,703,739,575,307,681,827,602,206,880,663,449,099,
639,781,301,341,392,128,461,214,610,538,162,206,461,660,641,310,015,684,764,
194,076,855,038,764,594,519,070,042,975,851,802,723,502,089,020,396,442,847,
410,045,063,189,299,651,941,743,416,395,391,730,733,183,431,885,360,791,382,
476,144,342,741,395,872,612,301,428,678,258,566,975,299,667,035,727,782,904,
323,343,828,981,408,535,099,869,672,912,726,909,881,511,825,729,941,657,088,
257,203,834,988,550,829,191,170,919,611,306,595,108,584,528,911,524,672,805,
091,722,347,909,607,076,083,254,250,715,936,256,039,286,371,560,083,957,434,
089,597,561,841,189,328,302,683,302,500,373,153,721,029,264,297,803,077,018,
841,873,118,310,091,902,023,910,806,751,851,245,096,527,112,654,373,145,880,
931,148,971,989,255,605,893,610,782,522,962,625,126,123,213,851,572,295,450,
644,508,815,562,946,326,061,535,898,861,432,494,020,490,806,383,087,857,315,
903,944,047,615,824,038,798,294,896,074,317,576,830,764,455,869,256,316,602,
549,710,643,266,415,742,639,072,232,043,754,630,694,470,750,150,237,502,366,
899,535,919,265,144,098,002,000,117,419,535,084,167,620,434,043,228,381,398,
345,949,895,776,101,904,221,974,770,103,030,809,419,877,498,608,383,503,000,
694,302,389,586,218,083,098,220,568,400,316,695,816,359,407,627,048,486,215,
226,304,286,906,777,215,637,128,955,891,248,854,130,952,929,801,617,340,982,
492,696,647,682,671,108,939,892,038,894,347,919,477,079,001,427,488,321,670,
126,227,290,988,229,359,036,884,321,497,067,295,355,379,971,084,603,103,532,
574,675,711,693,213,611,155,922,308,079,758,769,478,591,842,035,688,467,936,
018,925,597,634,983,251,686,981,250,098,332,777,599,197,989,247,091,609,980,
707,110,519,141,801,107,731,359,095,251,261,155,261,778,073,109,953,717,778,
839,078,649,723,834,165,129,596,625,389,905,210,872,641,396,943,329,990,561,
580,366,669,339,082,008,461,715,560,478,550,156,971,950,426,372,815,216,750,
393,604,259,837,927,806,635,835,468,611,163,209,590,062,454,434,340,185,421,
902,455,905,884,466,082,016,143,144,988,360,257,823,688,643,747,425,836,655,
144,706,703,203,207,713,268,448,843,674,038,565,974,236,455,773,137,850,377,
915,383,754,275,688,998,504,451,654,154,042,348,988,337,941,620,723,021,201,
063,179,765,272,842,860,818,673,538,609,972,200,435,815,262,130,643,777,020,
452,681,929,943,329,583,863,912,230,486,078,621,932,154,731,849,637,399,981,
971,164,165,689,984,381,151,834,834,046,946,245,646,290,810,636,895,706,681,
033,540,511,569,567,611,157,736,775,328,225,417,321,409,102,571,645,778,395,
138,277,564,501,397,879,935,374,781,888,752,598,996,204,903,559,390,364,132,
091,716,558,737,117,858,265,183,480,248,496,206,820,127,441,215,117,279,459,
385,884,297,970,637,030,251,124,260,519,678,193,268,052,398,282,663,245,347,
814,975,977,291,702,677,428,227,129,904,828,574,104,180,083,342,089,990,596,
760,402,309,210,327,275,924,877,694,419,730,991,121,157,901,003,842,605,890,
972,139,936,999,643,375,880,325,523,419,284,515,589,228,104,860,593,471,838,
163,216,542,446,381,382,068,914,226,026,793,266,176,702,194,223,549,060,862,
030,054,588,693,114,728,239,540,879,108,334,604,602,944,016,137,101,390,180,
714,768,087,763,136,637,856,520,320,517,644,158,440,506,436,732,958,802,651,
818,723,180,407,952,801,376,026,253,721,115,382,848,872,021,891,799,789,300,
509,181,660,840,469,942,974,175,764,404,849,272,459,923,890,621,129,280,847,
673,423,925,189,652,957,102,245,142,341,715,556,487,760,215,963,335,368,325,
181,511,266,381,199,362,328,546,368,529,664,409,433,895,089,675,471,995,009,
148,186,744,012,322,351,077,777,197,679,721,176,403,855,449,096,559,938,253,
393,133,712,164,178,617,066,823,780,138,511,708,525,879,238,748,515,406,829,
785,839,692,594,153,984,281,413,600,117,269,366,235,119,206,699,917,608,207,
872,511,262,212,104,738,135,715,823,931,265,712,817,282,026,578,144,056,576,
356,654,370,631,490,068,819,682,394,908,442,235,363,675,483,100,062,510,005,
208,797,735,140,346,900,950,059,965,599,702,633,582,042,453,421,539,164,567,
217,597,331,868,747,563,389,499,446,136,701,940,238,524,620,177,349,834,959,
338,170,670,997,410,781,730,539,883,985,592,558,888,611,318,659,681,710,161,
894,326,840,827,744,838,394,676,364,726,448,351,967,152,364,640,463,317,240,
707,959,472,602,779,456,161,866,781,013,753,130,229,775,292,725,257,935,460,
820,392,031,087,057,766,378,054,980,532,286,117,008,821,399,899,993,169,287,
524,728,571,365,689,244,968,817,984,147,336,573,337,281,823,317,263,062,608,
195,951,724,547,298,095,115,188,604,662,462,770,472,162,556,057,269,341,722,
281,360,656,402,371,622,359,045,695,215,668,062,885,172,314,079,345,091,823,
897,352,501,263,717,761,174,611,447,846,436,848,363,876,210,868,623,328,209,
308,430,838,971,165,131,336,060,383,588,610,762,214,819,171,546,866,864,370,
587,931,923,603,703,445,258,635,455,315,918,570,097,458,220,752,321,237,040,
806,817,875,412,428,337,635,566,632,925,016,230,789,205,518,670,226,524,337,
433,919,617,268,284,630,748,848,405,883,860,949,904,595,541,646,284,813,879,
272,197,414,838,902,769,115,318,008,111,939,984,080,418,157,354,792,828,664,
731,536,344,621,482,837,458,828,556,108,204,115,194,200,564,728,775,828,792,
591,602,865,332,831,908,264,119,254,836,044,339,720,195,708,196,679,080,551,
427,707,387,809,257,068,434,927,712,958,192,041,320,771,319,241,937,025,043,
053,816,730,433,793,500,260,485,909,228,549,275,271,712,785,692,136,691,803,
175,758,083,563,701,461,150,790,232,209,574,053,744,724,914,560,177,294,110,
864,754,092,133,483,933,255,897,273,462,941,928,730,208,659,198,156,491,201,
305,889,653,391,841,352,278,781,988,808,236,256,231,320,664,853,890,958,907,
233,987,913,316,835,375,173,105,942,424,580,534,844,795,364,196,946,988,472,
611,401,159,569,612,722,007,469,507,916,148,499,013,129,921,949,952,603,486,
531,311,022,493,799,194,428,415,041,895,417,488,996,836,034,976,192,043,801,
948,953,592,385,842,085,462,203,231,219,199,131,019,076,964,394,043,262,747,
287,190,124,801,256,350,738,907,583,619,645,715,426,520,479,413,979,105,950,
467,001,861,163,733,063,080,173,544,982,129,986,550,171,839,451,259,043,445,
041,540,430,738,076,024,099,067,805,382,267,392,171,911,570,085,297,434,170,
916,455,432,218,894,278,036,221,802,197,924,216,700,498,485,837,970,492,741,
434,222,673,269,814,666,769,101,109,194,909,566,891,270,187,160,025,212,203,
072,808,355,368,456,407,801,231,539,122,523,511,660,833,856,138,385,144,052,
721,604,879,178,339,108,844,011,714,599,068,674,191,699,837,291,493,924,893,
377,359,206,887,009,084,443,536,152,428,260,107,469,933,851,050,074,354,324,
920,963,424,207,978,457,454,593,532,957,276,660,365,971,127,652,960,982,969,
083,297,063,719,696,168,436,909,303,356,654,379,455,714,486,350,753,312,593,
822,402,998,097,780,792,559,155,583,154,794,098,929,406,184,293,903,438,020,
107,916,961,024,187,737,082,276,145,844,106,958,500,768,135,624,488,616,798,
526,473,378,233,914,032,779,742,092,566,968,787,110,101,757,572,910,699,804,
939,071,742,519,432,630,225,103,249,739,166,025,449,372,396,268,717,360,404,
054,856,250,458,028,635,651,105,973,396,429,485,991,330,479,616,292,153,534,
559,780,046,548,070,281,140,201,082,700,536,336,672,117,102,136,264,196,302,
907,874,959,071,815,667,259,233,098,840,775,039,048,081,280,850,686,465,212,
407,349,197,482,296,596,307,142,428,462,418,970,498,642,391,243,620,024,532,
919,565,174,112,155,974,016,935,619,777,182,428,142,160,589,586,433,580,973,
907,797,913,329,023,602,734,058,972,221,348,415,791,109,918,882,790,466,907,
655,287,545,460,779,312,546,338,604,488,085,800,109,123,785,122,023,210,067,
139,146,729,011,812,602,322,612,060,709,407,572,334,266,890,559,273,307,745,
608,068,321,990,669,933,066,984,809,050,441,022,806,347,169,461,765,803,544,
276,996,957,806,377,763,479,310,245,038,524,809,328,535,573,776,794,836,317,
746,383,083,171,641,313,549,776,807,201,244,582,831,825,385,024,475,491,227,
444,879,383,891,101,402,850,523,914,688,788,533,121,223,590,738,669,625,088,
257,654,927,535,397,546,197,884,860,548,955,400,707,796,606,050,579,324,787,
617,969,393,791,389,172,306,466,578,871,092,871,034,299,019,693,342,388,072,
228,819,009,916,749,535,484,051,132,456,202,197,641,672,160,089,958,893,058,
020,541,039,089,011,122,925,681,848,947,957,536,096,384,497,095,557,843,904,
795,310,797,168,403,573,133,961,042,075,230,663,985,364,300,449,139,528,648,
219,726,627,296,658,698,803,795,630,614,883,654,909,552,188,666,465,962,385,
962,999,455,511,957,657,645,562,343,852,700,216,177,714,587,036,011,573,401,
945,091,814,675,083,212,646,815,788,266,809,320,365,761,341,597,130,321,996,
794,648,210,171,705,422,553,334,118,647,420,072,253,123,789,017,432,850,678,
850,730,779,906,843,073,980,716,648,524,739,133,305,787,687,288,113,539,732,
595,145,157,662,828,786,259,336,878,308,251,578,993,633,865,246,113,340,359,
785,226,105,040,582,871,636,101,508,315,511,856,477,165,259,392,878,382,162,
284,138,199,935,393,598,052,073,390,727,377,295,769,070,584,781,270,869,765,
198,171,671,426,974,936,525,329,222,477,273,933,856,805,771,876,085,350,309,
942,701,597,643,629,273,217,158,451,778,294,829,839,091,015,219,844,861,310,
865,231,895,668,089,532,244,632,198,815,252,739,675,192,134,928,832,963,881,
334,843,804,914,355,665,777,352,267,051,290,715,781,911,451,230,497,633,232,
820,856,261,833,239,772,725,485,071,467,902,444,693,621,738,920,868,696,145,
445,667,118,728,247,363,537,897,371,878,216,047,335,124,695,612,075,566,570,
658,859,213,239,457,518,098,190,142,039,288,410,218,224,665,327,535,429,532,
884,433,688,493,002,646,403,577,866,434,752,967,832,296,043,878,351,519,860,
419,686,846,298,028,443,417,419,419,450,401,249,842,431,387,971,979,406,396,
959,071,028,181,419,469,265,605,565,371,570,679,198,334,346,752,704,083,885,
883,623,211,686,174,173,853,521,833,534,191,871,207,778,684,759,496,988,145,
593,092,821,574,129,968,547,342,566,369,869,666,505,813,267,361,946,118,916,
228,400,063,663,107,595,083,047,255,130,250,496,833,563,829,465,577,875,419,
771,008,588,522,689,291,596,846,572,071,991,308,119,344,657,495,184,884,617,
135,465,134,471,459,942,961,765,778,265,407,737,488,899,865,443,300,891,712,
257,664,118,396,046,539,181,076,218,121,937,039,227,789,286,718,650,655,406,
945,602,702,092,801,475,276,100,738,130,361,445,181,412,538,672,457,148,533,
682,720,375,085,242,211,014,874,421,302,805,706,640,279,394,033,669,264,795,
793,424,780,180,719,378,591,096,249,030,840,589,594,705,588,167,268,609,987,
987,456,343,239,760,055,892,988,569,036,389,869,784,422,535,962,324,064,828,
893,913,319,490,987,778,855,166,773,648,636,519,491,730,838,236,317,830,783,
435,715,094,861,308,330,214,299,477,342,098,470,280,335,497,213,064,869,265,
304,947,417,579,930,081,219,833,956,905,650,365,472,415,984,998,381,380,097,
348,419,518,663,497,653,923,227,238,809,563,277,004,201,745,139,232,099,990,
677,624,786,583,065,449,801,648,441,423,053,963,724,345,632,298,291,075,194,
411,229,415,592,331,941,881,724,947,476,202,104,642,472,833,180,049,703,690,
253,420,550,827,663,848,166,230,650,678,933,661,736,083,146,334,080,390,273,
771,398,095,011,379,446,033,904,295,431,164,003,081,099,238,014,420,507,172,
597,534,078,947,325,837,893,298,300,095,299,236,729,176,738,837,328,656,469,
940,602,913,668,816,562,278,827,419,332,673,448,652,103,987,280,824,921,744,
554,317,666,994,700,733,338,291,844,859,969,307,886,897,028,870,811,564,383,
107,206,119,991,667,001,440,718,593,372,165,646,887,074,610,749,868,975,623,
921,727,914,071,429,187,108,607,620,708,210,025,645,440,077,962,518,386,260,
628,008,844,215,607,456,104,815,428,199,346,594,439,089,636,688,749,311,872,
907,716,346,722,724,375,973,806,690,481,283,911,358,334,791,405,125,056,681,
737,877,342,689,782,149,810,747,449,261,541,385,696,828,921,207,662,700,835,
523,413,596,340,555,447,622,972,344,897,525,306,720,540,743,706,911,700,175,
191,626,867,782,866,784,605,668,211,491,512,388,603,528,614,309,445,071,588,
846,066,396,178,921,911,993,478,776,316,294,941,591,476,154,604,315,452,416,
956,043,904,528,357,271,769,124,378,218,738,549,119,018,038,640,028,753,611,
153,469,990,264,658,262,898,722,645,889,388,100,684,951,990,403,887,377,816,
273,958,510,828,933,594,712,679,987,149,180,485,468,938,223,991,593,656,724,
260,868,307,145,578,757,862,281,890,409,261,873,988,225,518,397,732,072,949,
882,836,350,698,173,745,155,374,228,952,714,841,665,179,465,393,567,923,608,
276,606,320,872,075,709,427,545,365,260,488,469,483,837,924,404,004,775,240,
211,979,299,652,996,972,437,507,980,829,355,729,571,799,077,248,475,713,667,
892,524,831,961,445,422,993,144,816,028,477,601,145,335,472,134,960,858,912,
548,933,093,166,688,781,073,720,075,751,524,526,030,435,700,547,037,970,038,
100,340,854,817,998,323,870,561,663,536,153,825,728,035,485,735,928,279,187,
671,791,654,574,274,626,745,032,162,499,178,090,582,020,054,548,674,533,580,
762,199,637,563,910,754,050,815,234,561,239,391,506,672,637,568,573,480,746,
158,625,849,702,468,787,190,778,163,101,368,610,093,259,872,794,505,378,215,
375,190,714,909,944,452,351,807,866,377,530,844,533,195,265,029,972,569,529,
277,176,211,515,865,695,157,220,306,084,575,282,793,161,150,925,277,968,826,
502,075,009,613,564,902,647,208,142,044,077,093,069,365,727,647,802,619,621,
137,927,052,643,620,663,529,241,940,122,606,850,823,285,764,798,921,326,563,
502,174,401,379,704,973,475,034,637,468,918,432,049,509,101,177,947,687,675,
974,671,061,973,722,970,650,732,936,317,236,845,960,815,476,943,479,933,292,
423,858,575,637,807,648,559,840,151,857,660,003,419,942,251,420,103,389,518,
857,013,169,499,669,261,636,528,621,965,214,814,773,360,005,466,785,053,514,
884,548,852,941,867,935,535,524,283,476,179,558,061,690,834,404,511,212,158,
837,816,735,544,955,990,118,927,102,531,281,192,908,569,504,805,233,403,246,
274,995,183,233,501,379,635,686,822,362,905,367,626,854,328,769,871,333,232,
979,252,934,881,200,161,486,182,337,305,123,700,706,361,315,118,596,967,198,
795,842,904,649,529,787,444,317,613,758,932,848,593,763,030,011,269,392,548,
997,934,193,515,194,524,098,577,694,830,673,204,650,576,276,813,550,241,590,
121,002,877,934,505,966,571,014,267,106,339,998,419,456,992,931,311,696,602,
300,453,604,366,633,790,886,909,220,370,516,872,743,423,952,343,857,300,680,
893,655,245,972,765,033,544,145,675,131,158,062,118,085,817,753,205,150,886,
718,523,028,952,031,188,458,782,490,868,736,243,064,208,358,998,931,190,689,
393,411,999,509,147,979,766,682,107,960,715,405,154,985,777,724,053,335,064,
721,736,625,769,786,616,351,577,202,395,932,844,730,633,699,718,553,456,414,
761,062,968,125,397,631,498,739,365,048,510,230,726,357,922,948,809,702,177,
985,675,592,942,766,962,673,715,068,101,013,162,596,305,406,612,236,800,689,
127,748,954,662,038,305,733,606,615,208,093,342,212,628,885,211,793,439,353,
739,849,595,716,240,403,627,558,483,684,448,534,013,839,873,231,483,497,836,
050,610,025,778,056,144,703,456,970,608,960,558,326,912,778,396,020,336,653,
606,455,884,492,483,685,780,229,705,314,350,347,503,655,033,795,337,255,707,
979,125,297,053,073,292,560,401,000,499,314,132,067,345,647,952,140,359,667,
323,949,019,833,910,961,692,060,570,246,169,267,204,359,813,005,299,826,186,
192,752,436,708,506,707,749,120,277,723,276,241,758,328,736,722,858,887,997,
824,515,841,485,144,242,729,785,320,485,558,105,389,726,530,893,157,145,864,
836,039,855,504,062,568,209,634,078,747,778,733,524,112,089,018,028,063,361,
742,272,846,744,296,878,595,574,293,790,302,101,244,000,172,193,599,954,783,
702,295,496,579,642,021,743,865,470,184,334,333,375,841,685,985,215,104,115,
144,162,939,523,927,627,528,650,862,325,987,344,495,730,399,335,375,700,103,
438,249,862,801,790,851,601,962,385,611,801,142,784,084,016,338,177,323,591,
791,916,744,665,374,104,458,157,138,728,772,811,099,369,146,252,473,500,562,
654,488,445,382,109,742,412,086,755,117,607,644,578,382,121,582,931,667,904,
633,026,054,390,114,861,015,600,544,025,242,987,919,990,997,716,075,610,549,
626,181,560,042,676,561,913,021,351,302,833,279,436,258,943,460,847,695,523,
668,325,892,845,160,365,901,949,586,680,145,343,878,568,173,753,194,173,968,
916,388,242,067,281,901,245,210,720,010,116,948,327,531,891,348,504,188,813,
806,891,097,141,112,250,567,451,422,984,083,333,432,842,808,370,933,663,439,
887,029,628,990,377,813,947,573,560,099,346,228,833,804,214,723,652,698,178,
410,320,256,214,897,183,090,439,474,566,055,476,047,286,045,054,696,559,469,
084,559,601,220,077,532,917,892,854,750,936,474,894,070,302,401,251,708,648,
223,085,377,356,486,094,712,860,905,000,934,953,643,295,797,982,424,550,175,
702,453,080,393,401,617,616,836,056,617,756,561,431,101,597,568,762,485,009,
242,231,541,873,334,847,292,256,326,053,562,916,431,160,723,821,112,375,712,
535,946,495,602,021,218,842,402,034,451,735,116,398,350,802,222,947,870,725,
943,404,422,137,557,082,779,931,413,575,697,538,043,960,039,908,698,870,891,
200,313,673,139,623,656,993,201,224,494,096,778,892,678,473,203,518,176,121,
707,646,537,367,983,713,399,828,141,960,112,921,290,630,381,873,717,829,469,
801,246,825,508,548,935,559,672,454,979,586,390,822,682,505,732,647,966,037,
296,910,233,642,075,102,506,160,397,144,294,672,517,628,379,417,164,161,075,
460,737,971,055,272,856,238,571,282,190,514,306,221,469,084,017,638,822,118,
470,926,606,727,734,512,626,586,499,337,769,336,965,976,354,420,230,552,970,
372,922,956,797,746,911,969,297,477,282,208,564,111,923,385,773,313,629,820,
244,220,922,807,329,677,440,022,826,482,382,559,482,884,819,706,803,144,292,
467,210,110,985,348,331,936,798,556,834,160,654,408,269,683,199,283,576,186,
553,979,625,095,719,898,978,089,841,402,692,148,003,163,415,102,288,663,467,
769,524,387,637,075,290,406,838,813,282,413,377,807,164,441,848,692,713,160,
612,376,528,405,309,345,652,555,186,949,897,762,858,510,715,624,227,752,973,
252,234,838,183,875,438,320,381,331,850,574,126,590,310,576,919,954,470,007,
745,086,725,378,990,412,917,327,751,113,171,965,339,549,086,360,461,432,249,
497,315,895,953,107,389,330,253,155,364,867,144,191,629,020,872,710,561,615,
599,148,706,159,251,100,158,721,158,436,107,057,070,721,015,158,902,204,308,
933,135,360,560,524,013,333,708,490,304,686,255,997,918,188,914,218,085,807,
795,582,462,094,128,713,667,557,427,710,961,588,212,911,772,997,347,531,039,
301,243,318,123,285,713,726,310,984,343,220,665,680,422,075,993,807,243,265,
941,448,036,827,505,488,140,047,012,476,412,122,313,877,039,301,401,953,681,
570,472,449,724,857,317,903,086,016,305,827,802,823,148,049,355,134,987,751,
402,699,623,854,899,412,712,726,149,134,390,439,032,653,048,243,728,519,481,
951,440,869,721,203,822,321,196,124,012,717,989,511,492,698,734,675,105,701,
261,559,212,212,570,025,148,611,677,362,573,644,134,229,035,794,731,198,786,
573,275,392,685,059,973,862,924,064,616,487,572,966,461,864,650,784,207,298,
631,764,447,167,889,296,099,068,692,659,529,763,585,718,297,607,766,995,657,
730,630,593,924,082,425,609,060,788,557,125,453,228,758,281,267,450,153,126,
196,733,144,545,949,380,488,656,518,149,338,162,596,896,111,070,080,590,679,
041,331,636,752,121,906,194,813,044,920,914,265,937,325,964,010,966,694,657,
447,124,888,258,858,205,737,599,169,021,683,730,863,846,614,722,163,560,743,
079,342,571,420,223,537,494,012,409,956,639,968,066,415,588,916,223,851,201,
350,083,159,476,919,703,191,598,498,317,795,235,377,156,992,249,582,088,838,
511,990,912,825,041,340,990,452,888,437,730,388,855,125,612,718,926,189,673,
199,384,628,622,137,198,502,392,425,859,555,271,890,789,548,239,738,470,307,
101,285,760,201,788,325,079,832,468,919,650,608,686,304,420,780,161,304,548,
583,758,389,595,398,062,123,059,609,474,480,920,271,100,027,500,616,034,275,
948,504,804,996,929,548,187,007,498,563,476,829,535,505,672,390,336,244,005,
627,515,505,742,906,862,017,339,947,650,120,022,558,764,226,050,696,966,645,
603,473,870,148,662,779,995,040,897,509,049,230,796,659,198,826,968,177,971,
199,915,556,830,393,320,679,345,383,939,138,503,210,349,022,396,385,947,922,
423,628,399,139,125,180,534,901,349,607,977,858,509,766,125,882,202,487,004,
932,044,376,606,131,049,915,682,121,195,233,048,667,604,602,373,486,281,942,
082,756,228,181,662,322,872,368,181,713,472,920,948,982,702,138,963,072,675,
103,123,483,945,131,692,811,534,877,718,734,508,725,858,163,171,680,010,194,
168,053,796,961,002,842,680,958,671,033,194,101,119,528,150,785,803,363,860,
799,352,757,039,524,845,983,559,308,181,296,465,269,808,077,693,418,946,742,
117,323,600,282,420,779,824,639,686,760,300,472,267,758,735,660,358,184,727,
399,621,549,614,687,353,606,588,374,687,380,139,616,655,800,958,082,554,771,
221,581,139,479,813,643,354,059,507,265,574,043,125,931,114,170,514,069,607,
523,263,154,809,567,495,128,505,300,556,706,159,445,409,260,466,782,097,732,
794,984,783,035,228,224,894,996,577,752,980,644,526,664,166,363,406,660,049,
016,718,367,325,766,612,317,223,691,148,873,774,795,919,783,799,954,905,795,
452,899,502,078,790,969,606,793,889,141,308,772,654,593,749,633,027,023,225,
771,475,657,564,531,659,678,977,899,049,080,556,862,395,509,664,000,524,639,
207,627,382,478,037,034,002,833,973,280,005,884,429,311,038,465,613,725,598,
411,023,484,638,915,483,718,744,343,507,583,329,516,559,055,218,155,680,932,
005,493,295,714,744,012,211,616,863,979,755,798,156,453,220,990,994,792,774,
246,138,356,922,292,158,778,144,169,781,642,749,947,538,284,425,184,221,759,
742,037,867,347,899,344,723,526,839,008,375,080,510,152,560,187,566,998,471,
833,573,223,724,737,067,960,021,373,488,075,514,883,022,784,994,932,850,420,
976,189,389,927,861,628,851,008,845,694,719,455,209,914,550,460,860,654,067,
815,603,810,375,130,501,572,741,402,604,326,238,135,785,301,919,341,940,668,
166,423,038,082,668,094,806,930,481,715,342,104,743,913,569,634,954,294,075,
650,325,093,125,897,094,397,617,120,422,490,618,608,368,489,330,608,580,976,
612,284,060,068,940,927,642,565,007,161,224,822,398,812,425,403,030,921,383,
076,714,719,504,057,841,754,602,169,656,776,975,833,920,189,562,887,207,686,
376,551,786,546,926,610,002,056,394,151,056,623,456,823,561,503,234,572,878,
312,098,472,408,293,465,256,686,762,684,085,208,869,033,886,587,395,863,348,
379,944,359,271,653,047,227,230,961,311,330,863,540,083,096,624,112,406,133,
100,333,429,824,588,898,356,281,142,316,186,830,496,723,005,965,733,675,502,
426,875,462,972,472,541,744,145,511,218,488,500,164,870,141,900,989,931,631,
766,821,474,039,946,787,340,114,272,441,885,352,034,952,413,376,140,543,346,
725,518,467,965,914,050,018,992,644,282,608,484,373,225,263,785,157,324,220,
600,275,587,005,337,357,524,017,907,675,811,704,570,728,690,890,820,636,109,
697,539,121,280,205,118,464,691,918,180,325,652,713,799,575,214,964,462,899,
022,331,905,749,134,944,684,002,772,172,726,324,784,448,876,675,116,669,799,
864,654,817,717,971,026,923,092,309,630,856,163,177,213,414,483,882,928,438,
899,363,662,786,781,284,098,762,459,289,264,311,691,166,921,347,733,766,668,
608,509,636,429,149,005,555,937,173,102,304,754,258,170,004,619,851,431,525,
414,683,969,104,982,921,926,133,605,394,163,610,786,793,030,737,080,836,445,
508,154,162,617,252,971,112,028,147,428,913,669,524,858,271,428,641,534,482,
400,739,022,575,158,756,636,680,055,560,713,511,531,070,030,140,121,109,697,
151,483,705,994,658,121,010,581,077,053,254,508,597,729,429,499,569,660,237,
411,564,860,113,431,612,663,963,302,332,822,442,352,143,714,603,878,477,792,
405,826,113,909,847,572,414,571,614,691,645,098,188,824,644,274,739,881,251,
116,292,095,320,245,106,804,570,147,405,130,789,761,604,639,224,520,285,945,
710,037,666,771,818,482,077,300,447,722,262,241,688,278,336,581,255,482,377,
769,764,448,578,705,923,510,501,850,403,001,927,724,848,856,765,313,346,680,
486,545,399,959,811,569,374,772,994,621,889,750,269,967,018,218,079,784,017,
928,745,848,329,917,328,511,880,988,758,337,429,547,151,713,363,920,648,300,
382,607,299,391,704,723,260,928,161,936,100,510,536,695,100,246,484,482,587,
428,118,882,578,804,029,786,599,786,684,070,715,208,898,196,327,762,185,985,
828,357,140,393,675,355,216,146,814,869,177,214,681,733,749,294,661,199,014,
480,846,068,955,940,756,412,825,566,379,592,363,322,071,788,620,138,707,885,
748,146,260,375,022,928,274,571,383,042,420,098,114,011,313,249,511,576,103,
750,742,495,164,788,764,383,803,227,173,890,146,280,668,852,177,508,157,770,
762,142,466,232,927,013,636,868,582,374,001,129,609,718,085,884,325,197,296,
674,978,338,379,730,526,448,970,801,284,349,509,637,768,282,022,925,610,323,
654,648,824,992,825,961,763,457,457,753,646,118,183,268,610,344,063,687,723,
593,355,367,273,170,771,734,023,189,461,850,023,145,563,456,332,932,446,125,
299,680,943,957,508,057,544,507,171,749,473,535,815,517,028,804,940,793,637,
835,910,223,382,079,170,950,083,654,316,466,439,268,106,720,167,175,959,891,
003,065,604,755,690,258,440,949,314,677,209,550,748,521,925,206,717,501,264,
215,842,229,174,273,768,711,944,005,786,449,325,189,676,672,705,666,978,374,
454,927,254,926,970,091,273,581,577,764,972,892,617,525,300,041,068,218,114,
745,019,400,214,967,491,014,858,859,955,395,226,259,721,074,307,282,680,954,
497,814,475,088,325,192,951,752,990,901,998,769,820,996,907,190,264,611,624,
250,618,066,689,151,244,683,843,752,559,790,669,149,505,520,134,252,474,763,
235,205,698,417,544,734,046,330,634,464,814,370,767,313,136,198,044,329,145,
011,361,273,468,208,870,131,635,878,300,303,549,871,772,251,996,454,715,789,
440,763,806,006,738,767,559,953,288,076,415,627,110,274,999,516,526,734,313,
565,216,739,153,981,890,225,369,329,105,449,165,391,364,194,620,244,245,904,
526,080,796,446,773,201,404,536,183,426,403,123,984,230,455,161,397,372,683,
889,478,880,511,343,404,774,263,588,865,331,592,617,373,947,271,241,124,543,
507,453,825,621,276,280,055,916,940,201,486,729,975,008,313,998,429,834,546,
863,832,373,267,789,301,063,029,503,647,759,694,810,064,799,420,593,499,889,
748,385,686,831,569,484,947,931,378,687,686,640,457,306,222,277,543,469,266,
221,961,846,894,145,380,629,966,103,311,236,619,689,330,705,704,410,393,451,
204,695,428,468,837,160,339,221,258,116,267,075,092,201,116,888,012,312,793,
635,534,287,217,848,428,349,243,553,144,936,479,417,025,858,527,590,805,154,
987,431,400,614,356,325,793,768,964,488,733,758,288,863,184,847,973,239,124,
414,878,287,503,220,942,766,086,263,380,015,157,207,616,295,434,137,677,631,
168,008,796,152,535,027,230,665,422,877,071,461,227,021,878,373,730,173,207,
956,229,025,082,648,890,549,296,504,248,808,211,130,263,227,650,824,636,012,
068,243,076,129,090,149,869,800,274,388,347,987,551,353,096,733,821,147,645,
883,058,372,710,853,886,687,021,330,916,594,037,682,859,667,617,973,968,314,
811,673,020,681,488,699,352,894,995,830,763,975,132,707,266,783,549,768,400,
062,097,670,457,599,782,550,803,841,016,701,951,893,571,937,582,253,379,711,
076,242,948,677,676,341,675,222,149,908,830,123,825,874,208,187,982,082,747,
442,952,656,779,609,585,337,876,664,197,685,428,255,734,551,078,403,303,639,
427,560,541,261,600,878,816,103,069,797,580,589,608,668,985,550,768,597,816,
957,290,896,190,862,233,885,707,966,098,920,854,439,925,623,264,303,674,584,
232,991,196,515,053,539,239,405,775,526,074,228,411,835,114,313,247,863,629,
700,271,666,530,484,627,104,202,319,941,312,101,645,581,883,194,597,225,448,
613,372,906,496,721,030,424,119,703,735,433,071,295,285,249,433,728,524,566,
956,051,672,231,906,493,543,606,734,358,521,240,079,697,190,282,563,096,227,
729,488,513,310,516,592,320,489,957,851,766,653,723,210,039,514,475,920,848,
468,658,936,827,540,034,517,678,598,096,070,664,758,852,928,117,239,151,052,
018,653,087,684,643,794,113,773,962,195,065,323,351,544,971,102,088,925,163,
546,546,354,910,813,246,414,009,082,669,580,825,181,456,803,901,214,017,908,
283,188,807,469,498,628,927,948,371,746,953,929,391,347,147,046,164,101,680,
666,348,777,815,592,257,965,723,773,657,597,408,158,561,977,158,847,374,351,
767,318,675,708,455,773,471,800,673,353,689,919,632,340,572,979,854,432,304,
716,074,820,166,958,808,620,397,009,017,747,229,909,964,558,359,360,650,085,
296,497,057,772,728,330,743,937,421,560,650,724,789,809,416,629,887,363,715,
877,695,563,188,506,455,141,462,749,167,020,015,441,181,863,991,899,965,094,
068,295,933,289,359,023,556,712,839,195,113,275,178,267,412,967,042,303,562,
720,524,221,637,249,912,747,897,899,358,193,495,417,175,057,805,103,955,944,
214,669,205,120,472,370,886,443,176,833,304,752,730,601,014,829,715,546,077,
059,511,033,018,206,076,477,994,593,368,491,842,404,553,277,800,206,158,597,
510,839,449,503,225,609,100,653,486,841,307,566,134,712,585,521,117,994,348,
145,465,310,426,298,352,726,198,839,475,099,120,367,717,587,600,959,376,778,
010,244,248,786,130,899,651,599,569,887,485,039,767,759,783,213,988,261,780,
167,318,455,006,375,348,246,012,575,416,973,103,083,592,156,632,311,533,807,
337,175,171,380,987,596,245,470,845,089,080,803,310,942,077,909,597,821,781,
313,339,585,735,056,994,017,417,299,931,234,808,384,577,254,142,421,969,079,
275,301,818,537,750,706,862,614,998,190,863,892,873,836,062,478,933,787,801,
737,741,389,104,911,207,257,822,699,218,152,933,761,712,076,917,893,697,380,
523,415,072,739,416,450,443,770,049,544,537,200,934,305,533,656,140,812,461,
834,553,875,773,520,182,127,251,681,677,620,018,461,381,281,425,742,509,736,
382,736,973,933,219,362,917,421,820,060,345,671,017,461,144,495,069,966,883,
392,968,146,928,940,430,103,649,133,648,572,158,312,246,873,916,022,215,950,
045,324,830,078,705,618,634,371,254,911,755,466,946,980,699,600,056,614,705,
280,621,612,918,963,586,672,016,256,527,575,343,508,218,691,728,888,929,311,
018,092,937,669,353,301,579,523,475,469,283,426,105,248,835,715,717,667,031,
627,248,171,493,080,500,784,682,674,933,320,178,958,625,617,404,825,786,189,
314,761,552,358,173,840,362,232,167,095,435,401,191,594,089,571,790,838,591,
215,220,862,045,215,110,189,270,744,354,377,087,673,045,418,434,788,615,113,
351,323,130,160,044,047,522,749,532,886,716,662,137,396,703,205,248,150,309,
106,030,337,655,190,541,562,259,795,218,909,491,835,634,673,402,325,667,459,
505,145,169,999,492,469,053,036,025,732,613,170,400,641,152,566,038,197,599,
985,573,383,018,401,496,705,959,532,217,758,423,383,084,695,251,213,407,149,
305,029,861,634,107,695,975,963,747,872,019,099,529,304,414,627,943,819,314,
048,835,592,528,201,576,136,772,031,874,085,785,433,808,333,721,140,765,121,
356,128,294,224,881,937,005,169,829,771,537,610,002,655,180,848,338,047,792,
653,708,228,379,995,368,272,287,150,763,591,407,093,653,039,263,523,324,920,
167,378,778,065,729,055,224,250,723,625,980,100,421,694,906,270,460,967,780,
744,871,478,331,257,524,364,944,216,360,661,261,916,756,696,921,131,369,995,
795,999,994,530,208,809,011,919,148,605,059,032,162,702,537,424,779,522,730,
255,307,044,352,091,945,297,824,626,608,147,494,664,476,094,318,355,833,346,
579,908,629,664,589,288,129,262,633,642,706,039,584,065,239,002,998,618,022,
405,146,577,835,952,813,799,515,090,691,394,809,664,692,288,747,425,524,450,
878,321,138,890,836,046,724,151,091,313,559,907,469,970,221,059,232,683,276,
379,312,052,469,493,643,054,441,848,620,921,709,751,588,830,713,279,044,852,
903,060,192,516,825,052,315,805,115,424,312,629,895,516,695,942,417,561,538,
893,990,965,717,077,081,411,489,305,897,096,005,233,584,572,220,368,938,377,
047,179,033,401,736,166,035,272,171,521,351,075,961,487,856,480,376,401,221,
153,534,841,070,128,395,725,698,493,113,383,571,372,047,718,993,266,584,974,
030,526,324,479,793,200,092,557,677,840,194,877,487,895,150,026,251,819,103,
818,856,603,895,783,894,069,155,340,471,210,796,789,721,286,143,571,697,182,
821,570,467,057,841,518,510,106,795,574,368,238,911,629,971,433,050,402,787,
370,196,624,598,695,200,318,940,126,520,003,921,532,699,811,851,027,126,061,
606,919,061,616,363,159,891,476,688,929,676,281,263,529,683,756,813,046,290,
863,533,593,366,502,098,664,973,150,180,255,071,333,703,660,052,954,611,557,
171,100,818,272,686,690,267,849,560,770,569,719,207,621,741,383,331,048,403,
858,363,395,288,606,079,029,369,130,859,225,570,872,489,760,640,716,253,324,
842,370,323,861,030,044,320,497,722,331,976,836,774,182,154,357,781,429,006,
496,248,688,538,197,077,314,540,989,450,922,246,396,803,608,120,421,814,156,
558,291,070,261,876,984,443,693,268,601,327,437,430,792,614,004,272,598,155,
714,195,205,432,618,779,675,333,308,480,569,947,607,317,443,710,112,448,615,
636,311,826,356,029,808,536,993,328,514,024,066,588,025,580,764,479,819,359,
225,808,055,467,246,620,170,878,289,075,647,907,728,186,557,205,170,500,147,
627,461,431,586,525,093,171,664,103,596,489,279,687,603,512,140,086,907,435,
054,951,442,643,575,115,126,664,992,248,671,173,951,656,618,179,171,260,254,
550,968,591,689,019,246,397,939,714,983,750,746,159,817,862,632,098,124,875,
310,094,741,506,674,940,131,676,495,586,092,765,478,846,483,158,428,933,682,
840,688,538,927,973,330,976,033,269,521,715,473,224,214,827,461,024,458,657,
611,928,957,206,379,943,084,888,420,775,957,448,786,604,604,756,545,814,066,
868,959,856,062,132,974,447,840,979,204,849,132,473,838,398,344,486,281,916,
842,008,900,703,321,978,653,704,800,726,405,726,366,761,778,814,613,974,326,
484,170,806,732,900,503,631,575,005,608,968,444,285,519,875,183,040,667,128,
028,660,829,520,950,169,534,016,530,479,351,361,470,618,889,233,450,668,450,
435,366,747,028,293,862,673,945,751,900,151,889,022,542,486,017,030,565,453,
433,161,869,868,114,381,636,241,623,802,889,214,431,110,827,896,340,415,544,
246,840,094,525,228,893,545,671,000,687,260,486,178,754,971,410,244,529,478,
382,776,137,259,654,325,560,245,610,275,993,571,152,987,721,549,358,431,445,
628,436,867,295,152,685,018,667,371,167,408,832,622,625,217,659,574,791,396,
239,771,161,103,958,490,229,869,863,544,080,657,819,086,590,357,516,716,577,
897,027,128,283,464,699,784,217,890,623,944,464,473,529,351,367,866,926,483,
510,845,131,390,075,874,860,704,530,289,273,566,477,196,006,747,668,053,482,
418,668,725,931,512,831,616,800,286,507,552,106,885,918,998,401,608,895,038,
758,926,622,385,635,445,375,836,065,178,872,648,739,548,712,055,112,655,067,
479,058,328,484,664,691,507,778,098,886,575,734,359,546,422,033,638,222,318,
293,890,902,193,511,801,373,180,942,891,176,275,116,762,461,259,204,754,256,
562,137,785,157,733,942,341,254,485,693,429,105,896,513,103,907,185,514,664,
339,684,119,651,065,875,573,285,062,294,047,554,049,814,640,087,375,863,502,
266,954,336,963,882,471,638,550,147,788,617,449,276,368,301,215,255,445,938,
987,366,316,780,811,020,217,025,805,368,171,393,852,104,480,587,836,873,099,
612,492,768,443,391,075,926,852,431,150,329,504,260,223,389,831,632,774,834,
107,774,607,714,259,402,194,244,273,661,841,340,183,629,334,640,186,094,192,
410,691,616,652,346,597,115,710,470,460,543,651,676,982,270,784,266,280,066,
087,680,439,393,474,799,796,068,087,115,303,451,080,164,965,873,641,258,162,
568,395,265,073,237,437,153,706,667,732,121,983,339,713,526,475,468,317,826,
124,482,748,772,938,243,616,424,682,464,731,410,274,269,078,721,465,473,364,
057,241,536,258,403,061,273,930,000,441,414,348,203,279,921,087,366,456,515,
718,657,341,677,630,082,109,665,611,966,231,492,646,161,710,455,524,981,849,
691,194,891,580,390,740,469,421,036,677,264,990,678,134,754,822,753,094,442,
589,604,375,801,797,708,306,080,551,488,594,844,161,636,815,054,882,829,422,
384,517,243,056,605,740,788,252,287,642,890,776,078,521,804,344,988,185,718,
972,890,401,902,693,779,207,860,871,259,650,051,017,337,399,107,361,983,883,
064,631,980,433,194,561,536,152,010,503,284,031,888,794,314,301,815,824,227,
758,031,577,064,519,284,815,627,970,764,672,339,303,785,252,430,373,472,648,
155,275,272,056,828,218,958,937,246,356,754,762,450,407,243,310,503,763,745,
490,539,613,457,012,440,125,797,447,611,889,513,943,309,134,751,549,835,477,
945,109,160,490,742,866,602,546,577,012,452,899,793,055,625,389,909,787,442,
408,201,599,928,906,581,285,850,484,319,520,107,824,708,419,647,887,651,211,
686,944,085,304,356,308,961,313,613,753,915,877,782,314,578,545,143,590,989,
108,498,663,344,734,929,627,159,842,973,989,696,290,084,586,376,944,645,380,
468,833,436,437,735,338,168,142,990,765,377,226,035,189,726,790,771,053,323,
366,896,338,151,098,761,906,960,674,573,220,437,300,997,161,134,173,053,675,
052,891,199,865,559,309,008,720,552,018,982,937,655,776,911,593,722,257,111,
764,051,669,570,152,307,190,132,887,717,923,565,741,647,556,252,402,984,773,
619,254,193,934,984,007,687,844,824,648,262,557,890,301,280,487,232,807,748,
479,679,569,113,705,993,334,825,787,764,615,345,426,272,542,630,411,861,494,
260,055,491,699,133,105,933,329,842,950,567,893,327,127,817,312,626,236,088,
509,471,710,630,689,822,152,785,945,745,034,534,363,103,861,158,726,885,268,
745,899,047,438,604,753,640,156,209,536,052,425,130,533,883,155,868,145,745,
529,835,849,071,122,619,836,916,164,194,248,824,229,646,400,505,296,620,762,
934,653,324,449,173,821,962,437,062,669,592,739,790,583,004,635,534,932,009,
092,011,578,254,742,712,106,744,166,062,063,325,073,795,203,272,891,390,745,
609,815,952,032,296,730,756,966,304,765,218,844,030,319,527,560,507,211,139,
300,145,187,802,567,780,321,089,383,021,955,216,852,054,165,188,133,138,094,
126,773,306,812,237,954,858,498,425,775,554,469,351,039,933,717,145,358,273,
391,698,955,286,495,588,511,859,693,971,251,654,888,513,849,439,920,923,263,
858,104,908,886,285,943,337,625,661,808,726,153,441,094,079,891,160,094,746,
200,943,687,863,197,841,172,867,600,456,560,759,082,550,529,488,772,645,021,
381,200,577,674,776,574,962,328,616,161,487,616,417,994,744,490,462,486,943,
872,139,447,252,666,781,524,586,905,141,599,412,889,070,569,274,893,738,029,
552,808,671,319,695,936,231,130,845,196,486,446,165,914,642,601,303,862,363,
761,650,567,841,095,391,871,794,063,602,506,925,728,783,317,611,993,981,774,
052,002,189,173,849,367,105,673,848,672,396,548,098,832,053,425,675,823,056,
571,108,574,144,943,793,823,990,790,013,719,172,294,264,434,491,608,295,719,
818,374,838,836,962,899,896,321,348,053,411,115,535,997,752,588,490,519,911,
977,332,712,955,826,310,383,231,192,663,500,170,783,889,450,777,468,984,685,
515,600,843,293,139,544,023,507,725,546,877,498,372,873,025,377,538,769,022,
335,589,349,219,412,106,929,946,307,358,847,378,485,294,092,476,002,936,515,
497,824,536,716,934,536,586,524,127,622,388,852,316,693,337,789,596,758,085,
916,451,895,969,608,812,741,344,599,436,007,191,555,725,945,314,070,768,397,
601,373,150,987,701,947,878,294,025,141,260,929,226,622,112,669,551,013,665,
781,548,691,542,755,389,741,557,076,092,491,897,978,428,100,785,342,572,751,
968,654,447,337,582,538,304,061,472,016,264,092,274,570,741,284,293,112,948,
937,422,688,540,429,577,478,234,518,975,888,839,945,789,277,823,295,422,277,
352,239,326,592,049,309,357,125,206,595,346,196,267,326,251,515,503,250,710,
433,399,047,287,113,977,359,910,643,911,324,887,429,518,634,616,513,938,095,
011,084,199,615,020,529,190,680,504,554,679,347,138,097,513,495,698,402,524,
415,779,773,406,677,664,328,780,394,311,654,296,657,233,269,825,202,841,207,
000,988,398,583,912,443,075,491,209,880,266,011,347,488,104,758,183,557,812,
670,363,798,014,233,725,675,430,441,714,966,538,574,713,400,953,252,649,892,
896,482,731,784,834,574,978,611,215,749,544,761,617,771,827,098,484,532,434,
629,202,532,276,903,263,084,148,921,007,015,543,112,393,842,741,568,325,068,
807,169,064,843,064,197,268,536,871,016,989,684,695,380,704,708,019,129,294,
020,828,703,371,892,718,655,740,842,922,934,661,730,001,557,641,719,981,978,
273,334,660,317,601,115,149,421,266,946,366,845,854,858,801,872,851,112,054,
595,049,185,746,720,517,443,016,385,186,030,183,140,809,770,104,030,717,734,
467,235,182,887,368,676,184,113,107,257,558,351,966,802,745,085,690,106,079,
821,640,517,769,326,299,872,559,473,959,392,559,065,828,740,477,821,436,124,
525,266,586,790,629,254,454,385,966,728,908,458,205,405,266,628,145,477,236,
116,467,265,472,359,123,830,324,961,422,438,766,085,969,842,334,221,807,135,
488,442,604,352,007,131,090,662,799,115,338,054,362,375,187,721,103,099,301,
506,426,657,545,949,356,731,537,874,970,853,820,842,297,323,780,277,812,807,
289,158,909,614,825,593,223,903,713,705,127,806,178,157,741,883,036,637,977,
725,374,555,628,063,704,559,320,680,701,808,761,719,936,849,477,605,793,735,
086,427,032,550,881,637,164,350,233,803,078,161,480,581,926,333,566,668,176,
128,653,625,884,252,876,975,104,681,443,531,160,387,664,190,624,543,404,317,
332,948,749,593,225,425,074,686,290,537,161,316,592,611,521,358,861,642,637,
004,975,773,672,959,884,283,260,223,128,928,032,822,440,209,673,219,072,000,
272,943,855,515,915,357,422,740,337,214,330,367,366,340,557,706,071,828,889,
709,901,111,251,842,611,088,272,909,145,466,422,507,487,970,084,375,487,946,
468,841,583,462,199,951,509,061,780,518,193,848,516,484,531,222,489,190,740,
051,510,732,831,970,187,090,215,749,524,149,027,646,828,713,019,260,690,721,
724,900,683,543,029,465,701,588,136,436,897,710,431,715,377,035,116,986,508,
591,359,150,863,072,573,628,177,081,041,759,442,720,507,140,897,310,944,941,
398,983,144,540,805,414,094,081,011,633,448,026,803,924,928,563,202,273,942,
131,864,335,349,820,417,498,621,583,858,821,063,556,241,360,884,355,684,037,
594,282,538,561,692,826,157,497,469,545,394,687,809,631,439,542,522,478,642,
438,775,641,399,201,454,751,755,409,336,284,007,597,872,149,936,762,117,553,
666,466,214,118,954,536,187,369,958,271,547,585,995,527,314,686,195,567,857,
860,477,507,028,679,270,415,516,284,498,023,952,570,741,086,597,371,324,090,
832,031,686,802,241,156,162,032,263,147,437,458,700,518,639,201,107,522,108,
610,669,795,399,819,415,135,792,759,161,198,636,235,679,975,821,071,758,613,
259,757,744,196,699,661,354,856,740,639,495,807,795,266,683,365,090,694,635,
108,684,606,507,904,294,867,384,602,747,209,639,656,106,740,232,409,874,269,
376,613,383,393,087,448,934,881,554,570,433,983,987,969,154,598,897,767,715,
065,762,557,231,665,307,198,130,463,514,158,263,576,470,515,720,380,054,133,
559,710,498,564,341,929,291,394,696,944,994,664,985,054,632,297,436,415,892,
804,544,827,865,558,648,545,942,584,492,357,718,719,691,487,573,322,006,761,
461,599,430,369,815,444,027,709,029,095,289,178,424,959,502,062,097,111,443,
969,278,966,233,528,654,995,113,836,770,592,980,486,992,971,208,048,136,971,
065,714,354,366,148,890,817,407,953,582,891,302,297,238,207,769,061,718,247,
954,842,013,152,668,661,535,495,185,622,209,810,827,089,529,464,801,667,385,
063,828,917,740,626,425,391,501,251,000,162,520,613,046,510,243,287,904,726,
244,971,870,262,678,901,246,087,992,297,718,473,065,241,024,784,850,252,530,
188,884,490,621,404,803,030,891,628,314,126,374,811,301,638,886,164,725,765,
808,875,608,850,302,494,798,332,448,020,756,707,704,875,614,136,766,411,147,
214,161,983,136,601,876,546,224,878,292,886,066,540,001,141,613,167,866,087,
230,109,287,582,632,886,657,267,247,106,418,691,723,412,581,063,454,846,930,
002,347,364,778,875,225,585,614,287,752,495,695,564,424,011,042,609,792,409,
678,905,471,500,040,225,545,370,284,279,282,373,235,673,766,070,932,324,327,
301,796,475,181,413,069,897,700,955,200,514,482,024,905,021,060,274,977,561,
582,329,576,209,347,251,397,925,526,102,128,351,419,495,652,637,168,903,153,
937,183,599,676,045,409,730,518,702,110,946,804,958,418,784,203,193,947,960,
021,183,155,268,384,999,231,315,870,655,227,441,440,570,313,046,971,981,984,
447,604,248,749,389,125,304,641,690,043,150,529,964,068,276,364,304,998,616,
642,538,702,873,028,616,996,901,025,337,211,371,564,820,661,319,058,696,840,
133,966,648,979,981,144,166,958,507,353,534,021,637,330,394,730,345,511,114,
225,647,824,989,703,418,599,030,982,362,382,962,815,927,994,157,162,368,806,
662,370,670,657,953,221,900,068,313,416,191,988,806,179,824,163,276,887,653,
533,653,514,441,943,311,225,137,843,682,682,821,610,210,229,813,419,046,634,
952,779,051,117,863,153,042,286,455,547,201,739,994,896,961,200,218,575,746,
610,990,779,147,197,659,562,639,628,419,259,744,514,882,508,374,258,295,906,
269,551,785,027,515,328,013,628,947,345,827,763,046,901,183,126,570,793,481,
703,876,949,388,066,202,628,696,178,390,521,102,288,200,835,608,450,262,952,
273,791,157,361,016,595,428,252,395,573,936,377,260,602,861,121,051,177,205,
804,404,098,510,717,901,412,477,231,006,547,220,086,821,708,828,575,859,145,
526,099,289,616,242,355,761,441,106,610,822,365,036,335,961,550,771,976,847,
164,220,092,139,546,357,325,319,174,841,589,384,976,216,537,663,047,380,717,
425,917,751,524,562,426,842,603,550,176,344,955,382,679,312,922,177,882,432,
845,501,768,704,755,265,645,834,808,447,548,607,753,844,681,295,012,990,433,
166,772,874,811,785,124,128,206,183,178,906,472,470,359,306,931,654,044,075,
571,242,218,791,030,398,225,081,150,994,604,963,931,524,278,830,824,196,460,
921,916,004,164,992,474,260,216,340,774,676,314,598,387,656,687,489,722,587,
822,163,171,881,425,949,998,603,538,547,913,140,234,157,172,552,585,989,026,
013,439,263,392,351,689,319,798,650,243,585,596,097,628,861,600,477,404,271,
200,368,624,032,268,987,930,983,026,568,640,684,176,812,180,726,746,244,204,
951,410,872,540,046,330,352,710,387,988,765,481,950,305,537,753,414,317,792,
331,974,979,319,462,247,165,696,914,234,313,048,568,663,527,719,823,862,152,
341,560,331,367,719,890,044,434,491,112,042,683,738,609,800,967,960,200,699,
551,894,334,570,243,580,672,820,672,390,510,834,872,368,720,067,716,265,295,
588,250,541,306,499,208,484,460,015,176,012,596,989,722,240,107,535,269,650,
311,645,742,643,681,664,559,424,642,526,803,270,965,012,845,523,045,359,381,
339,676,430,379,057,704,850,268,970,788,073,638,395,353,814,510,056,760,255,
054,737,390,038,107,322,112,875,287,900,288,064,978,579,344,239,248,601,322,
257,842,027,897,074,302,604,675,400,885,471,939,404,020,710,287,989,153,036,
912,276,851,206,596,762,887,409,439,754,230,079,827,691,985,811,538,399,302,
588,878,253,257,137,766,255,429,912,476,513,814,824,757,610,116,763,825,909,
211,766,751,761,252,262,915,436,915,091,754,410,573,692,526,176,693,670,588,
411,200,787,462,243,655,976,859,017,871,492,787,073,544,541,716,087,390,843,
714,052,317,381,076,319,849,637,032,543,322,183,391,016,246,602,541,175,314,
808,549,714,433,491,272,050,942,973,795,493,029,945,564,663,423,841,288,467,
873,950,897,656,244,319,304,004,609,581,235,096,021,670,254,515,259,889,531,
627,486,803,328,945,544,576,145,656,863,990,875,376,455,612,207,084,159,144,
755,354,296,455,022,485,492,646,956,145,998,832,000,097,038,996,715,647,365,
622,320,314,291,791,172,660,505,884,807,503,821,030,868,921,384,080,147,923,
923,788,602,140,193,847,659,104,990,140,114,811,771,424,837,141,549,372,940,
039,831,242,859,311,479,144,121,601,069,682,416,734,833,701,563,530,201,655,
059,200,818,909,746,029,602,800,388,272,312,542,951,338,135,880,889,269,689,
607,964,870,032,727,478,544,707,665,482,513,271,978,225,092,522,775,300,813,
204,817,854,166,486,607,903,267,145,957,174,634,544,601,514,403,535,429,772,
851,391,866,827,843,060,732,137,532,392,273,338,419,749,298,544,162,753,964,
378,170,031,486,336,426,298,808,545,096,595,935,196,129,015,910,817,149,090,
847,723,639,745,507,227,318,751,595,996,603,438,039,994,384,584,820,326,375,
817,461,272,281,721,097,008,600,620,023,150,826,612,696,786,728,129,065,994,
265,556,426,602,155,782,407,938,219,791,711,327,360,259,536,111,305,528,584,
690,422,256,552,553,013,393,679,619,116,779,384,485,604,411,058,958,102,506,
427,160,497,978,333,836,559,288,854,127,428,890,042,141,807,402,071,592,302,
489,405,007,082,970,645,815,265,636,083,602,174,031,555,165,600,175,902,460,
092,459,566,079,402,972,587,888,007,301,888,682,367,031,446,793,257,869,158,
545,300,717,483,653,111,876,436,965,044,295,856,345,111,972,778,272,211,446,
943,537,967,921,062,368,200,422,510,643,486,737,472,980,095,684,649,168,871,
768,734,240,295,300,603,665,658,102,542,746,925,505,347,764,954,860,359,740,
734,677,792,192,967,935,121,129,360,023,646,656,473,972,006,770,896,923,073,
716,230,872,467,400,750,691,555,180,937,920,200,503,557,183,512,198,151,030,
537,941,147,232,842,685,515,546,113,044,753,909,276,873,540,364,450,788,168,
436,159,183,294,180,573,509,813,216,020,083,424,575,888,141,848,675,098,701,
686,247,265,849,505,176,475,448,333,808,150,919,553,004,535,096,833,628,273,
315,797,836,638,470,783,548,614,259,108,217,385,373,564,042,081,199,729,565,
807,177,346,429,800,963,750,652,215,443,975,233,148,723,604,576,730,436,723,
482,022,678,193,156,869,084,417,180,965,879,774,083,244,661,250,224,628,512,
806,821,221,279,036,670,390,997,398,508,290,415,249,716,323,001,630,511,517,
042,784,785,377,281,218,313,532,094,593,590,566,849,962,374,782,118,487,409,
227,669,753,335,023,640,414,414,649,625,353,407,521,592,234,533,478,401,675,
752,142,040,219,857,910,359,140,984,910,653,077,745,239,534,283,176,522,996,
130,005,380,346,740,496,877,992,998,643,806,749,940,664,897,489,623,397,342,
798,434,543,689,089,173,360,572,496,775,133,475,411,521,869,230,663,073,983,
301,203,975,368,093,938,043,957,175,686,713,177,813,519,289,986,121,231,133,
502,863,354,156,707,227,332,468,383,398,585,788,315,514,847,052,796,446,487,
975,333,784,633,476,200,015,271,082,037,097,259,669,601,032,982,067,286,336,
521,600,887,154,141,388,938,154,987,089,025,641,953,259,774,530,130,825,277,
085,423,502,150,896,209,622,083,670,451,247,736,615,316,041,271,905,232,146,
299,427,385,355,357,609,092,207,796,512,705,863,843,392,608,886,949,104,299,
348,119,874,879,626,743,102,563,581,073,134,786,169,565,803,663,882,835,388,
464,126,712,495,863,547,432,710,437,790,639,467,283,486,999,646,083,559,268,
473,402,520,282,268,821,677,905,920,138,712,101,619,943,908,649,309,667,842,
772,994,571,152,542,792,037,970,133,908,718,366,599,607,473,538,915,674,813,
891,578,315,349,591,615,273,394,982,521,587,564,709,148,162,580,237,868,198,
709,759,007,156,787,942,091,962,745,702,409,976,146,628,550,432,235,977,461,
594,578,835,887,379,696,167,711,923,222,455,066,471,651,973,246,387,852,783,
638,542,959,768,307,196,773,424,479,717,857,886,067,597,768,219,290,942,057,
993,295,084,336,772,770,545,089,304,893,843,002,629,424,271,767,465,334,365,
539,565,852,831,894,565,181,885,359,257,282,486,502,056,213,017,011,643,207,
966,128,960,940,227,576,068,610,354,444,942,583,856,295,971,078,673,999,272,
392,776,225,737,956,015,996,616,492,054,202,767,188,982,601,725,041,262,455,
918,552,826,826,967,251,001,127,313,215,934,253,196,514,355,881,403,856,175,
358,579,294,981,096,308,329,448,989,846,119,550,877,756,928,435,250,595,290,
774,972,603,611,235,642,576,785,208,838,554,618,245,120,789,966,370,717,229,
545,509,398,089,861,957,434,858,181,268,648,664,159,080,569,055,597,394,526,
788,760,641,775,666,869,607,328,285,140,388,699,238,197,665,328,798,007,598,
714,414,574,020,671,402,489,374,940,283,928,061,884,702,321,790,253,552,627,
355,819,561,738,415,896,532,160,466,149,828,773,359,367,549,703,543,229,486,
604,298,626,604,235,491,540,043,029,720,689,186,126,851,257,047,074,595,783,
604,070,037,419,697,061,754,447,214,377,567,037,906,410,830,542,763,894,525,
022,603,494,391,018,381,794,935,311,856,564,852,327,256,918,001,264,599,102,
076,438,717,072,409,179,894,042,707,018,422,631,875,462,432,429,990,737,580,
256,826,541,705,565,655,653,368,041,873,811,572,607,255,980,819,394,566,848,
842,837,253,221,871,790,746,686,523,439,985,220,477,091,401,488,051,074,288,
310,883,084,923,608,333,214,580,813,441,217,218,233,984,241,213,153,581,828,
180,958,283,035,896,726,384,563,043,146,823,977,376,284,005,298,926,558,319,
316,459,216,236,371,738,301,765,652,135,723,582,204,102,028,724,033,970,647,
031,628,500,295,595,909,601,629,402,274,575,134,042,954,019,055,619,006,710,
359,786,167,232,032,129,821,748,774,307,459,715,741,262,578,233,317,453,674,
293,921,488,822,818,016,764,331,552,746,088,558,721,700,095,051,347,166,543,
942,686,768,771,668,959,663,819,423,423,990,984,598,216,447,837,976,795,984,
014,404,951,633,963,597,069,114,686,933,651,514,742,541,201,898,607,362,753,
839,974,732,152,291,398,660,312,830,032,694,113,565,627,963,104,803,821,774,
318,580,665,221,450,237,219,523,187,093,924,196,109,714,914,010,142,495,368,
614,095,998,497,678,597,156,330,252,793,888,188,529,780,142,833,092,102,686,
930,416,796,828,842,941,408,455,075,167,738,041,105,651,475,037,199,993,646,
981,664,085,056,224,336,967,431,787,579,908,788,342,979,217,575,795,615,850,
706,514,697,026,271,012,306,255,061,021,744,805,177,973,994,030,138,057,954,
832,517,205,072,817,640,555,272,147,765,309,034,663,735,415,463,334,563,848,
249,953,152,467,873,554,306,316,988,648,600,300,674,404,720,858,625,769,822,
840,043,240,093,270,817,061,411,357,633,828,784,928,730,378,322,746,668,144,
077,702,004,743,038,056,089,705,290,273,490,733,096,127,839,295,310,687,710,
415,016,932,813,242,889,671,686,428,678,635,050,520,004,656,271,340,212,108,
520,880,249,955,614,101,464,051,124,856,603,487,845,311,775,687,242,467,385,
908,490,431,599,501,090,658,699,368,820,593,778,068,568,876,669,024,765,613,
164,525,773,044,882,168,580,746,998,550,767,876,313,526,287,216,010,348,434,
675,422,035,704,559,681,133,350,651,059,617,979,668,926,314,629,070,275,559,
255,771,881,494,646,398,842,353,237,281,890,997,940,627,583,673,768,609,016,
901,052,857,380,877,936,693,659,608,101,424,807,879,700,315,444,061,954,205,
758,513,982,343,021,421,570,536,968,615,821,734,942,106,106,414,043,633,395,
943,735,667,194,253,503,268,958,870,589,813,511,333,671,920,118,695,970,950,
418,382,549,410,598,929,278,078,194,945,205,985,178,178,037,631,713,296,521,
924,507,212,107,401,537,771,710,262,148,636,124,961,796,176,646,918,953,122,
273,192,476,787,677,909,382,803,282,305,848,465,012,379,664,461,884,798,479,
835,111,099,479,170,492,487,519,460,491,485,374,512,471,032,857,285,731,802,
883,681,175,203,351,078,332,233,716,145,367,682,679,024,888,194,897,028,056,
947,454,709,720,014,388,799,039,205,179,199,522,658,721,201,315,551,317,601,
268,425,830,613,636,464,990,225,106,628,866,316,705,982,432,430,933,768,402,
439,743,139,930,623,602,985,732,104,052,396,181,810,807,712,243,248,807,677,
468,244,639,842,321,064,189,803,518,299,237,387,793,114,508,775,198,725,880,
656,593,199,062,245,417,803,724,878,844,874,012,268,339,181,190,892,165,033,
371,329,873,011,528,890,164,488,017,847,912,037,153,424,825,998,859,461,730,
883,635,332,876,165,412,168,774,239,577,474,200,989,415,324,962,798,616,796,
163,239,317,473,323,010,697,338,736,524,893,314,342,233,176,223,976,290,290,
663,382,815,267,310,971,211,577,150,430,941,601,720,842,060,483,285,342,318,
027,176,515,930,337,852,434,881,730,795,615,665,246,517,513,059,033,814,028,
879,781,427,801,670,035,151,180,772,594,404,314,773,544,693,709,184,560,192,
543,311,525,660,319,202,857,858,378,425,025,365,784,844,140,309,755,796,813,
232,304,148,145,221,870,392,003,736,834,682,882,795,631,264,536,021,070,919,
204,336,214,426,012,941,231,313,979,845,383,253,987,223,073,777,626,121,174,
964,964,824,489,403,115,016,104,185,695,328,615,805,027,320,303,754,817,485,
822,158,934,633,709,948,698,888,819,585,348,067,328,761,607,521,297,511,103,
872,646,061,390,893,770,313,859,692,219,109,680,582,851,421,574,507,837,219,
700,152,353,628,050,348,832,184,451,796,208,201,646,245,621,876,520,657,970,
311,205,234,841,198,626,808,720,032,083,444,817,240,015,596,679,647,644,494,
030,044,665,647,118,865,540,170,927,259,311,471,630,306,068,026,401,162,257,
787,834,588,765,495,854,977,234,502,569,362,675,073,804,733,686,725,878,539,
772,032,186,287,705,154,086,802,925,432,727,033,836,242,240,480,779,539,448,
347,629,820,404,786,868,696,360,818,829,248,273,831,831,995,433,754,872,374,
509,515,742,919,579,333,393,814,866,839,114,807,015,910,247,599,289,467,142,
570,758,817,206,118,365,804,780,785,870,467,559,474,238,606,590,168,688,188,
550,119,465,096,295,433,822,161,499,898,791,747,969,026,018,836,563,915,763,
500,541,005,542,832,195,028,897,012,061,191,315,735,522,529,488,334,108,602,
084,975,962,844,909,774,779,952,954,766,141,841,827,836,163,964,107,566,749,
847,358,148,506,938,284,960,748,700,663,904,742,830,620,152,006,981,448,093,
682,631,162,698,744,895,164,512,824,704,070,251,157,114,625,603,196,902,813,
770,754,162,081,836,767,907,266,945,014,736,109,308,779,561,765,198,730,000,
639,448,999,446,652,080,441,152,720,096,163,799,565,238,136,993,341,770,292,
522,322,590,088,189,089,002,795,105,352,457,674,023,872,079,956,674,411,462,
540,118,229,407,572,401,253,289,802,363,026,720,979,878,498,540,258,044,978,
417,193,188,220,834,214,992,545,008,293,684,286,763,257,244,087,337,683,012,
806,098,735,056,898,624,103,705,322,168,184,469,078,085,028,118,146,305,427,
885,681,643,359,159,175,475,333,470,205,198,178,373,833,523,625,616,776,358,
475,770,680,403,878,854,119,767,470,530,794,859,290,593,357,558,168,464,760,
730,737,703,345,541,550,490,481,540,444,607,954,442,749,555,034,787,013,320,
957,951,236,231,744,807,471,920,254,735,619,493,453,711,410,514,904,205,541,
652,142,114,513,316,233,555,243,217,204,881,483,231,312,212,846,576,100,411,
377,512,810,898,180,189,554,997,436,024,426,924,205,855,863,535,101,323,237,
354,136,351,933,102,277,924,396,005,854,205,201,307,807,953,364,645,787,942,
533,534,317,106,534,701,082,446,636,811,661,770,384,929,309,084,379,649,248,
202,010,049,505,985,218,822,459,339,792,931,639,802,236,424,927,179,416,801,
577,721,571,224,832,523,324,873,313,267,126,123,549,063,155,595,121,122,086,
253,294,734,855,619,436,940,820,229,994,896,508,805,102,445,069,088,008,352,
382,459,799,742,972,691,299,012,842,734,339,942,251,557,851,672,340,316,478,
727,004,656,058,860,424,054,280,502,042,968,063,744,199,749,683,086,270,231,
791,015,829,527,413,063,984,022,717,448,505,885,769,410,597,948,199,183,613,
963,793,901,870,039,936,461,595,497,182,443,839,231,384,684,340,794,142,350,
729,157,757,485,802,127,729,359,124,697,736,261,141,029,492,194,120,078,536,
057,439,405,901,638,667,103,586,332,137,354,448,245,666,381,306,227,927,782,
116,684,023,172,325,213,367,219,860,669,069,319,859,075,576,705,328,305,837,
701,759,478,532,492,442,149,046,736,584,003,480,771,522,428,969,171,189,190,
161,960,895,267,249,736,994,691,509,719,064,955,264,182,664,717,468,746,393,
911,779,048,356,249,936,631,526,356,342,822,483,959,392,355,920,873,950,969,
536,901,624,783,249,695,845,576,957,270,483,631,578,264,928,129,598,422,011,
897,342,822,641,611,264,909,366,673,442,597,150,467,995,445,535,328,311,090,
133,286,724,387,410,264,836,127,717,649,255,362,069,410,740,582,276,786,572,
981,219,607,955,181,764,813,662,910,535,823,472,322,652,322,472,613,922,995,
629,836,843,854,333,690,806,476,546,866,207,076,777,729,894,046,805,733,131,
772,164,974,721,541,791,596,852,854,575,290,345,334,884,332,956,965,670,894,
582,441,869,513,250,352,176,501,050,875,684,478,872,499,366,452,286,537,599,
552,186,176,830,936,488,850,647,681,026,867,396,890,003,241,345,041,375,346,
465,497,963,293,316,189,644,422,038,480,444,831,631,266,988,158,249,994,492,
107,329,357,986,716,117,149,340,514,204,780,549,179,377,067,003,760,011,145,
702,240,829,866,572,137,642,387,300,100,638,972,308,262,376,977,623,304,847,
687,973,465,982,156,943,832,473,455,548,890,151,528,386,252,782,157,942,268,
372,432,683,270,589,363,778,226,791,335,325,624,759,346,495,459,525,160,471,
357,947,427,203,537,481,045,941,441,559,405,694,614,848,729,900,708,355,990,
888,338,706,197,930,672,259,184,412,058,345,902,322,091,275,325,284,653,427,
763,972,510,580,720,171,110,785,877,129,729,729,939,202,667,441,009,978,233,
561,939,604,035,858,109,886,229,164,524,501,340,976,119,068,235,368,790,854,
942,182,248,596,658,493,578,639,930,577,950,096,470,855,764,661,490,525,684,
967,348,656,300,316,583,130,131,375,775,488,958,716,784,512,285,911,381,247,
238,807,925,997,241,200,821,958,249,205,539,021,252,792,021,801,418,944,960,
094,337,886,599,808,600,623,462,512,088,527,310,313,859,027,571,750,726,323,
892,079,651,469,795,243,886,332,914,809,816,855,345,228,516,902,486,944,618,
527,444,949,613,031,082,529,857,517,258,412,737,704,037,036,693,788,206,968,
922,882,839,886,440,797,655,650,870,855,447,396,406,864,921,761,458,869,534,
059,386,255,240,803,482,250,003,961,023,229,149,071,632,421,244,793,168,952,
143,221,507,292,367,930,727,440,062,501,852,048,517,336,032,372,906,890,150,
179,059,136,256,787,101,774,897,232,723,473,539,568,216,275,140,904,465,978,
915,809,358,806,362,900,640,468,035,644,602,343,469,270,489,722,677,613,400,
688,635,648,009,502,399,166,099,908,113,583,495,128,566,082,316,216,536,344,
804,064,777,083,426,457,548,218,420,909,002,358,264,400,753,847,136,004,854,
578,670,455,948,158,641,706,103,688,866,717,036,297,573,968,385,182,141,629,
347,833,066,176,152,177,805,674,297,001,131,438,141,089,742,954,324,288,906,
437,418,607,140,032,322,675,829,710,055,716,848,895,296,271,316,748,249,585,
924,998,684,132,961,154,832,584,049,093,489,532,042,120,210,673,759,121,801,
988,113,832,756,056,120,355,378,654,970,940,252,563,044,171,115,149,727,337,
285,367,495,300,575,370,129,470,031,330,561,915,091,324,478,277,414,769,572,
255,311,934,741,178,458,824,770,998,301,479,656,818,842,018,400,288,536,625,
852,633,621,938,762,866,042,435,622,180,060,638,299,793,929,197,582,066,204,
537,944,909,726,317,509,352,799,089,647,455,325,332,146,782,572,058,965,787,
107,940,630,705,649,494,303,777,570,590,873,419,400,135,014,788,348,687,815,
388,299,274,012,327,063,056,384,571,534,477,383,997,686,566,920,754,938,294,
371,173,777,176,583,986,780,146,217,295,731,515,193,878,423,729,536,404,566,
514,223,181,208,060,622,053,064,832,548,559,491,896,650,790,906,150,847,088,
935,593,483,960,887,376,390,308,392,775,624,513,136,132,550,119,665,625,124,
151,493,682,103,118,431,601,311,156,980,894,810,710,876,299,138,017,847,432,
242,898,278,089,340,513,025,280,771,037,656,446,079,707,108,808,370,206,446,
791,648,706,530,631,513,895,454,945,586,153,789,397,387,599,759,218,914,452,
397,987,087,961,448,348,465,903,047,867,699,406,965,736,224,969,886,896,933,
335,123,276,543,767,415,462,169,813,804,741,452,529,293,401,473,727,206,384,
985,102,677,899,615,007,268,908,975,848,171,651,796,027,417,153,696,206,072,
894,079,485,424,968,190,205,514,685,089,497,130,708,489,089,411,886,312,831,
550,116,259,703,781,860,709,439,484,322,310,942,440,972,726,980,126,052,511,
193,549,937,171,487,511,854,284,086,468,209,001,790,157,229,972,235,207,279,
803,817,676,464,215,690,052,453,407,943,011,500,553,451,428,504,114,052,373,
245,257,455,048,094,742,935,007,321,357,129,160,371,320,230,764,648,665,221,
275,350,963,604,473,526,293,618,904,372,648,246,462,297,726,694,533,633,044,
018,397,742,968,567,245,698,317,390,578,654,458,564,696,477,542,497,666,272,
209,600,075,227,473,008,948,666,933,254,189,677,261,537,907,741,790,606,802,
743,529,479,911,352,730,173,368,705,589,119,142,856,391,177,230,081,406,094,
898,972,797,347,500,166,511,227,943,887,759,134,606,482,700,968,318,572,823,
519,830,311,466,699,381,724,038,480,150,946,268,624,368,510,903,529,099,696,
346,688,146,170,978,500,856,222,656,091,695,735,611,267,368,046,015,746,513,
728,009,742,056,245,369,662,517,765,860,381,225,926,157,593,188,494,193,808,
811,665,723,334,523,780,863,675,254,938,006,342,945,232,025,598,934,796,231,
809,019,897,920,322,206,793,228,618,771,778,034,091,979,170,938,802,477,513,
990,006,094,064,528,549,674,799,836,333,959,547,110,929,676,924,570,614,616,
081,244,362,034,797,952,167,092,710,584,702,475,012,068,392,668,545,217,698,
185,883,623,180,808,417,076,959,725,412,153,150,122,003,118,972,194,112,028,
599,762,530,345,835,445,169,022,898,129,559,635,436,999,926,273,522,484,506,
930,476,691,752,502,540,283,864,248,076,646,188,969,971,941,546,365,656,785,
282,648,921,424,263,377,443,393,786,095,111,508,027,888,648,991,448,537,058,
751,832,228,793,492,588,995,821,481,101,628,404,389,643,169,576,863,452,595,
368,539,711,090,490,595,421,986,532,714,832,399,953,227,621,673,481,026,141,
232,919,104,998,845,973,737,006,543,576,325,588,651,081,179,362,716,675,021,
378,480,656,665,206,483,292,621,154,138,206,772,463,988,199,873,358,368,880,
843,827,053,863,546,868,833,417,539,289,254,915,504,445,490,385,139,371,312,
982,361,661,546,607,268,676,157,037,416,041,082,705,622,806,817,669,802,481,
745,896,874,692,168,758,340,373,834,855,564,095,921,957,531,596,780,926,956,
864,459,046,701,992,096,770,217,654,595,652,108,339,832,566,436,254,317,482,
077,449,759,595,985,373,183,630,982,443,393,918,264,115,796,271,215,319,694,
685,376,460,153,933,380,347,945,521,694,522,632,079,055,224,560,221,141,546,
979,751,631,904,899,247,771,445,273,963,960,311,297,055,142,046,987,001,470,
935,934,372,194,785,502,720,647,208,953,324,660,680,677,846,726,403,748,107,
828,540,287,775,385,189,660,570,243,175,883,867,861,042,879,687,979,462,804,
192,493,607,716,053,913,628,699,326,733,879,649,919,931,833,842,161,263,877,
153,131,459,131,177,601,567,843,382,160,148,548,919,050,647,328,507,804,520,
861,899,881,963,207,123,436,999,943,923,358,151,587,665,903,205,619,665,234,
537,132,404,476,209,028,581,443,260,319,892,195,926,352,255,450,667,975,742,
913,608,341,149,341,641,815,716,531,593,644,962,580,624,169,563,770,657,655,
898,108,697,783,479,476,847,541,536,603,334,248,716,588,180,092,877,054,441,
255,534,891,698,896,770,503,102,143,372,152,793,141,414,370,540,891,609,210,
475,405,431,618,684,239,135,666,916,163,795,621,256,843,555,726,612,053,898,
324,421,948,012,018,342,853,801,404,538,208,317,641,838,113,493,566,993,487,
713,333,974,668,643,020,433,433,737,844,848,257,572,353,989,292,118,269,116,
381,697,685,506,774,199,479,765,942,479,996,214,928,606,098,390,779,777,171,
431,732,730,536,205,756,744,987,524,803,121,707,117,031,656,630,949,815,275,
613,959,632,589,404,417,656,003,695,542,388,371,006,064,789,397,886,380,169,
938,888,202,301,528,717,182,600,554,995,460,099,989,465,922,007,345,605,354,
976,780,229,122,648,386,484,230,832,439,154,693,031,759,017,262,599,137,973,
348,490,016,365,572,875,526,108,942,759,201,286,765,940,860,346,634,352,444,
781,872,359,805,870,218,856,900,748,954,468,060,914,063,053,100,097,500,675,
330,686,478,231,651,918,910,073,891,953,103,844,815,264,056,392,299,710,785,
545,182,055,389,937,486,169,114,784,719,051,208,381,066,368,458,262,726,165,
353,172,192,599,840,115,211,436,978,645,775,053,443,265,898,855,151,417,081,
774,428,111,968,584,227,399,429,662,817,533,466,522,853,467,608,595,668,401,
965,283,167,417,172,207,474,741,204,652,324,412,721,997,725,201,233,573,302,
080,019,867,296,176,016,140,189,586,603,086,055,052,155,759,583,305,474,016,
598,292,039,142,176,791,300,312,657,512,474,732,905,229,112,325,954,103,678,
528,663,519,441,112,887,094,630,331,487,886,201,552,480,057,290,766,580,973,
310,478,828,741,800,065,962,108,213,829,789,445,846,362,007,491,677,388,037,
761,269,604,732,998,388,591,040,434,568,336,872,729,544,604,801,745,714,422,
882,549,581,943,702,481,505,635,700,747,702,081,085,583,471,983,040,031,249,
262,913,093,618,255,216,727,189,137,405,501,238,879,482,098,130,177,993,538,
557,886,360,159,727,668,016,864,738,982,335,346,588,791,184,367,871,763,187,
582,430,410,082,000,553,486,609,662,501,404,217,749,685,973,007,236,483,157,
069,493,193,227,990,658,677,088,286,492,409,688,274,783,168,435,395,100,984,
729,117,931,977,730,738,274,897,192,567,689,648,787,213,175,042,147,656,623,
670,996,015,208,381,526,808,524,946,885,000,034,077,704,167,589,063,921,200,
039,102,212,671,816,999,914,724,240,930,741,634,770,880,818,103,018,069,847,
990,176,490,716,404,753,737,065,024,807,539,001,189,532,132,630,170,975,108,
901,218,039,802,714,307,093,815,606,560,013,347,732,278,831,639,496,081,250,
625,029,772,925,904,805,619,443,822,993,252,931,326,187,801,980,220,306,051,
712,431,400,159,360,617,557,116,020,791,009,126,018,781,997,767,399,094,101,
686,947,886,539,339,118,469,987,113,348,525,128,668,399,789,554,037,046,478,
264,254,940,242,801,740,541,270,014,129,598,388,768,195,304,557,361,717,434,
787,708,170,146,100,153,838,402,389,247,846,256,404,550,773,051,349,227,601,
039,672,183,491,329,873,303,842,527,295,039,776,371,173,955,218,086,626,437,
097,891,093,029,260,998,825,777,031,991,882,637,786,516,380,953,779,821,564,
436,592,060,066,971,594,631,112,841,641,936,872,990,411,906,768,010,982,083,
948,741,618,707,662,723,481,260,042,421,774,532,134,124,002,541,226,943,827,
855,907,577,397,632,856,286,441,517,410,852,538,967,514,968,826,028,497,980,
163,193,951,987,977,934,252,426,112,740,216,254,427,138,089,120,681,427,369,
174,178,167,795,893,348,377,541,166,777,637,682,577,453,904,893,953,586,135,
383,490,235,243,100,411,786,456,902,780,201,730,510,552,975,063,844,563,268,
605,079,316,990,416,758,632,985,647,547,867,247,285,999,231,705,051,190,043,
119,810,759,106,081,000,965,924,720,713,182,432,143,620,059,848,577,844,625,
423,152,949,084,733,005,789,261,947,876,193,853,093,705,012,360,958,571,882,
254,575,414,195,237,578,230,076,559,629,908,674,113,695,130,704,067,579,513,
557,992,354,855,286,959,294,195,789,747,927,455,739,503,124,832,812,692,283,
157,336,260,540,179,322,416,364,893,180,815,294,022,208,591,217,469,975,204,
001,207,850,967,668,488,929,029,562,878,921,918,472,882,092,594,498,431,422,
791,427,792,075,406,748,811,434,245,752,778,755,835,064,974,951,592,443,671,
776,654,534,657,126,721,398,717,582,197,632,362,767,250,011,050,005,519,138,
520,557,737,098,028,831,297,475,219,540,542,234,279,561,929,035,444,553,225,
533,615,976,084,255,990,943,971,913,039,573,578,034,859,424,279,834,652,214,
531,391,921,440,706,196,897,724,647,574,012,385,067,402,623,607,802,084,993,
342,246,119,123,822,542,300,333,399,202,379,409,099,572,861,286,527,542,549,
905,484,073,781,527,456,103,989,634,647,672,987,662,957,398,704,205,927,764,
937,192,547,848,235,030,699,611,392,810,872,525,950,797,979,388,135,411,438,
631,047,656,614,647,824,908,366,710,010,441,128,566,424,561,988,289,376,393,
275,685,957,221,188,967,641,174,929,860,895,143,916,731,374,158,112,517,394,
547,547,689,644,357,643,074,712,790,240,680,046,295,145,345,379,466,094,453,
079,885,317,612,080,613,545,305,768,540,082,090,388,761,990,137,869,597,679,
596,862,279,380,757,004,429,049,097,500,126,677,468,376,052,810,150,220,762,
289,681,005,943,149,427,522,889,921,646,194,435,588,893,808,661,569,553,098,
692,585,961,557,989,330,352,235,972,496,882,494,145,009,049,130,662,506,007,
384,278,228,146,653,992,195,143,038,063,988,014,909,668,057,876,877,590,217,
753,859,788,350,579,864,815,732,466,715,493,409,661,111,481,831,397,891,275,
536,091,129,172,787,628,203,234,102,052,417,564,025,578,973,481,456,312,343,
212,205,403,352,809,237,993,293,295,240,385,760,569,686,866,792,696,037,011,
968,697,690,015,740,269,742,844,329,046,644,997,114,414,690,127,768,911,539,
938,819,257,088,509,453,222,224,199,895,652,958,828,431,128,166,031,110,235,
511,587,293,001,734,240,236,709,178,310,370,938,865,424,206,156,539,068,526,
818,664,536,982,460,424,440,210,585,830,444,998,614,460,145,227,109,327,591,
222,398,579,377,538,001,256,142,159,992,867,297,118,081,802,228,856,369,120,
235,560,718,916,236,024,858,379,571,582,822,785,144,228,946,977,805,298,885,
637,322,790,085,735,995,819,613,451,662,389,180,540,667,146,177,560,390,716,
651,107,607,634,095,357,656,298,370,666,241,332,434,943,036,842,263,589,344,
793,961,530,536,913,680,899,883,065,240,033,967,962,404,440,987,851,947,432,
037,445,797,054,140,147,070,435,493,440,410,663,373,308,577,514,839,814,706,
399,686,075,397,602,433,747,870,703,549,710,339,908,222,172,892,617,642,990,
606,420,834,820,188,921,578,298,078,916,894,988,207,183,638,123,764,076,151,
604,026,759,922,362,469,549,999,343,817,031,315,613,369,681,983,312,468,575,
812,835,427,846,549,525,377,668,838,047,854,887,719,002,704,716,554,161,977,
925,035,991,406,617,270,914,244,481,211,194,971,140,768,261,903,056,852,881,
732,887,229,819,439,325,325,200,758,004,100,899,580,200,987,568,459,691,391,
984,242,779,913,356,033,402,810,432,100,657,227,500,745,167,251,932,690,862,
830,795,566,038,007,317,755,871,003,957,276,827,566,361,675,520,617,887,833,
171,692,329,837,876,691,030,582,486,420,062,321,373,385,856,922,465,778,885,
114,468,797,236,859,305,336,626,471,896,882,635,458,360,633,914,486,277,083,
798,970,338,952,710,904,844,647,894,842,865,247,475,069,419,852,738,632,047,
048,742,748,758,810,962,689,674,867,039,363,465,142,775,092,802,871,404,799,
068,014,991,172,617,758,787,239,042,546,440,274,629,607,484,986,500,278,270,
965,527,183,681,725,808,352,112,632,250,090,704,309,626,181,112,139,278,523,
854,347,904,310,096,917,247,991,275,324,059,378,873,199,777,301,677,874,521,
150,039,244,248,351,757,002,225,549,219,142,856,351,526,101,771,512,486,520,
022,228,058,870,018,372,992,810,922,543,725,532,790,842,665,981,390,646,236,
312,395,080,061,274,544,237,746,452,362,303,693,373,918,544,910,414,934,784,
189,304,328,227,399,050,207,212,978,463,239,240,498,952,711,140,626,524,573,
683,570,002,566,092,193,277,579,877,795,179,041,686,453,390,019,489,663,100,
156,180,822,622,441,619,694,057,596,020,222,324,815,723,130,846,828,723,821,
044,824,661,094,869,030,774,653,091,456,966,660,580,779,369,649,256,949,097,
980,109,323,199,661,758,077,060,563,124,584,205,879,110,729,626,463,399,484,
753,750,976,448,128,339,637,157,959,950,120,768,918,555,871,321,953,076,438,
967,268,596,591,649,459,776,909,932,546,219,866,113,455,498,693,863,030,368,
795,323,347,729,098,479,163,807,850,587,351,024,954,042,940,530,465,180,290,
815,636,795,100,156,117,483,956,382,711,749,894,262,379,765,334,453,362,237,
943,832,923,046,044,627,192,665,457,634,789,948,597,948,956,846,131,862,674,
100,963,117,924,771,563,292,359,928,050,153,020,758,395,266,557,920,216,701,
710,780,515,902,123,199,461,735,124,741,944,785,587,719,038,330,438,072,867,
870,227,744,448,285,070,754,647,026,747,845,704,969,700,653,613,824,316,308,
542,793,557,474,227,151,837,980,321,213,837,312,823,667,122,715,317,036,555,
638,440,883,592,579,958,890,127,863,660,998,704,077,661,115,985,401,849,668,
425,199,058,919,444,009,939,393,679,690,260,123,165,844,152,998,931,225,898,
900,992,023,491,557,106,697,695,603,474,093,437,980,357,399,125,827,657,868,
019,542,718,119,084,831,616,064,279,247,422,582,564,873,419,977,583,939,645,
444,921,998,361,193,097,217,908,464,867,780,481,765,449,971,516,535,087,436,
868,878,173,441,022,174,332,985,146,926,684,598,380,814,020,632,605,823,620,
627,591,622,979,094,466,547,500,211,951,830,821,883,127,658,134,650,040,703,
760,068,773,459,263,607,868,497,536,676,597,178,132,256,255,079,193,522,470,
826,240,841,414,928,836,755,074,079,653,945,966,562,830,210,993,315,360,118,
022,422,236,081,177,622,679,076,116,095,921,443,120,506,234,679,462,146,673,
997,670,826,031,711,565,336,533,468,482,367,627,614,389,301,955,619,989,829,
458,540,680,118,698,244,493,639,299,219,729,192,087,431,270,824,881,567,230,
361,302,707,001,192,948,880,929,062,723,851,801,875,574,684,369,479,897,119,
354,521,347,352,880,318,599,355,610,718,428,883,685,845,931,424,999,629,910,
229,274,905,852,898,670,017,289,791,221,350,893,895,609,952,597,066,174,564,
526,567,332,287,916,005,829,983,191,787,664,075,043,251,267,604,636,455,809,
441,623,885,032,828,252,880,960,930,333,455,846,210,217,403,894,835,324,392,
859,266,104,142,367,729,261,293,310,510,527,469,241,252,895,148,465,573,078,
523,026,234,965,311,159,953,998,385,088,825,701,688,566,992,407,920,394,461,
751,928,149,767,613,150,088,931,895,311,392,615,855,433,442,496,559,388,189,
969,683,034,414,398,663,840,554,579,738,317,020,293,999,155,894,038,697,732,
283,743,291,658,346,362,652,091,874,117,398,419,830,755,995,969,445,575,877,
441,772,389,819,691,923,949,180,876,346,941,550,723,687,774,704,913,113,548,
109,582,719,021,831,855,304,226,361,425,208,503,959,787,715,299,923,735,019,
031,477,764,909,971,418,428,537,673,366,440,625,458,695,012,291,497,949,817,
232,500,448,233,746,775,747,879,833,932,906,678,665,356,663,739,852,825,357,
310,236,331,426,696,646,002,078,177,316,825,187,564,307,493,970,742,664,251,
835,198,918,240,069,917,159,196,566,515,726,869,099,492,726,982,909,417,925,
480,216,607,981,709,582,792,664,734,213,492,234,956,467,088,419,143,099,142,
157,701,226,544,155,581,201,662,572,077,736,349,921,419,202,437,315,044,512,
745,602,569,514,151,613,729,407,785,503,878,761,631,655,367,187,583,044,904,
823,880,115,877,222,354,922,327,153,824,414,077,442,301,621,277,490,250,651,
229,472,082,726,366,714,022,320,931,599,980,875,822,541,707,550,743,419,411,
536,874,105,240,428,130,617,268,161,522,836,068,758,170,845,786,014,711,580,
505,741,210,256,652,413,187,477,083,894,078,896,363,423,179,827,448,731,958,
060,221,162,166,181,115,108,289,126,632,896,452,301,501,893,674,721,267,781,
530,521,812,144,352,403,320,543,388,417,630,630,708,675,385,243,711,793,778,
362,017,627,166,606,131,063,064,738,925,750,295,828,024,350,835,099,874,801,
526,087,739,539,660,871,839,536,923,669,225,082,215,360,991,156,510,614,472,
989,974,080,348,360,707,905,449,266,390,220,088,549,217,515,425,219,349,956,
597,038,937,879,551,748,951,554,953,885,641,970,686,052,936,806,511,309,343,
046,020,497,216,177,616,677,071,507,374,104,382,957,785,169,511,062,726,535,
369,972,458,173,699,374,556,051,502,002,149,506,226,184,643,909,120,279,112,
028,122,990,647,092,066,793,564,536,316,944,832,706,531,016,495,940,097,277,
236,062,032,076,050,143,373,233,148,078,560,643,572,197,732,349,864,145,408,
204,702,891,730,565,054,953,903,957,957,112,313,655,097,496,800,000,554,611,
753,216,828,202,050,062,564,324,443,181,671,576,442,394,324,620,222,696,780,
138,736,920,127,416,664,060,116,750,029,468,210,980,708,952,010,825,134,476,
185,505,792,514,462,758,353,879,496,573,904,271,828,722,755,266,323,258,829,
619,087,239,110,610,806,451,351,893,243,238,838,502,500,982,664,912,514,416,
487,013,457,889,244,434,140,567,140,536,458,959,017,892,522,556,229,074,005,
231,364,903,204,014,774,587,266,809,051,402,495,477,150,848,043,129,980,224,
191,878,186,160,087,316,839,421,724,417,286,316,120,626,652,157,788,101,350,
858,771,950,080,136,248,293,814,839,708,301,489,119,303,536,905,404,898,819,
029,685,016,222,368,895,735,019,624,390,763,930,669,097,882,158,991,543,125,
883,574,525,382,384,211,225,807,033,769,411,080,965,065,338,639,850,084,444,
199,036,501,895,865,222,875,395,216,964,340,734,404,773,313,953,352,042,494,
577,838,025,410,364,887,703,367,452,924,204,701,244,881,384,835,487,988,030,
811,741,276,648,782,114,779,237,780,581,206,620,887,870,448,002,654,520,923,
507,912,974,407,883,453,746,311,039,316,599,420,073,968,157,754,195,981,584,
655,421,571,899,929,656,180,332,253,730,442,986,344,669,933,735,295,026,964,
334,914,512,203,502,191,604,548,756,650,237,691,586,914,856,341,000,141,973,
684,724,359,964,325,357,603,323,057,995,381,962,043,059,807,687,961,017,874,
652,135,840,604,389,832,163,527,830,248,059,552,258,804,581,855,536,908,734,
803,524,781,514,147,812,635,662,818,178,034,038,152,495,375,881,936,379,616,
821,803,666,967,022,865,757,839,890,335,461,131,299,327,918,190,035,922,770,
904,038,083,784,041,730,548,750,041,468,996,093,278,778,410,372,190,824,759,
994,120,149,172,983,472,597,785,750,999,186,465,469,073,591,031,163,577,812,
069,440,384,596,779,577,515,062,044,261,427,216,776,815,059,395,645,896,719,
078,623,891,143,640,047,529,738,739,415,241,976,968,665,782,594,991,196,533,
768,690,873,057,523,104,787,138,269,798,171,705,627,794,328,697,147,897,098,
052,002,563,910,131,648,075,400,480,908,185,841,297,283,314,106,379,632,569,
400,442,243,940,034,994,578,563,346,571,271,466,855,440,274,765,270,697,173,
686,943,392,441,090,561,958,186,548,902,018,885,751,080,827,426,373,183,924,
970,389,633,287,197,683,225,624,157,008,195,515,085,837,140,635,726,359,140,
128,206,834,266,840,631,901,906,587,615,615,484,656,500,267,187,854,979,063,
851,414,110,923,646,245,938,181,444,560,614,774,214,201,790,951,449,947,523,
577,381,662,471,078,162,511,300,558,123,781,450,481,614,070,427,315,837,706,
382,277,865,044,358,861,128,289,854,831,847,431,465,000,597,215,639,841,227,
177,873,910,302,468,748,706,089,485,523,042,771,567,567,450,128,407,961,995,
328,305,817,849,904,328,685,290,362,787,482,053,987,123,090,572,172,155,407,
951,486,036,750,246,304,780,225,764,632,719,502,327,892,473,100,637,457,770,
418,297,675,697,284,165,129,913,345,954,503,826,940,924,049,865,583,964,221,
591,160,709,107,027,437,827,106,141,104,591,239,905,265,092,725,711,691,610,
270,292,051,842,066,515,105,286,418,869,290,900,541,970,860,018,254,758,356,
794,345,527,889,349,009,525,852,877,158,251,878,921,239,529,657,437,932,504,
005,522,977,024,535,592,358,104,798,295,299,235,027,436,651,613,985,535,779,
163,789,153,167,667,425,858,475,886,090,479,824,355,754,259,524,888,214,338,
646,395,435,637,535,664,247,534,864,841,690,434,705,499,522,427,266,554,518,
156,616,152,094,670,099,125,374,085,022,113,286,228,913,574,820,658,745,416,
020,232,625,806,476,424,723,862,629,854,965,264,563,945,348,759,388,420,749,
531,769,753,146,506,299,652,363,344,368,010,260,599,603,204,090,876,195,084,
274,066,418,358,673,705,833,645,840,475,097,852,692,749,310,379,930,138,124,
488,522,399,449,780,003,836,288,480,023,362,181,160,596,536,331,833,712,517,
337,112,845,307,618,387,568,986,886,104,155,244,698,995,360,777,184,758,743,
860,193,128,550,488,093,656,586,011,729,962,001,114,478,661,963,964,816,718,
660,667,073,717,137,634,967,914,703,209,794,030,798,017,017,148,799,838,357,
874,202,828,886,919,352,492,513,168,134,366,956,847,925,137,396,432,879,206,
707,911,412,574,300,613,160,254,239,498,287,014,223,886,346,371,996,717,936,
497,125,909,972,344,582,160,761,209,996,855,413,798,384,119,691,903,182,647,
057,003,408,491,150,379,687,301,957,616,463,327,453,139,188,473,324,044,691,
639,269,082,151,106,705,475,715,060,422,963,422,646,894,302,996,645,273,790,
231,232,408,911,782,702,040,604,278,419,118,440,430,749,446,370,970,159,705,
626,035,502,285,988,200,169,126,655,621,651,307,101,463,224,242,243,108,368,
827,170,649,684,270,749,997,071,098,113,043,279,509,488,809,544,711,069,070,
916,524,761,922,763,018,777,019,289,686,381,315,593,174,809,747,089,526,983,
187,747,372,406,640,115,300,394,301,013,156,081,825,455,706,694,166,658,762,
062,632,890,407,834,418,550,627,994,442,217,142,002,932,464,494,134,016,439,
058,528,999,478,035,669,000,710,046,586,987,128,231,621,695,205,816,213,831,
364,504,783,321,993,445,318,948,434,464,855,248,383,520,404,824,748,131,813,
989,112,338,240,569,960,045,907,114,310,842,140,712,115,438,133,316,832,648,
992,270,680,760,648,296,580,955,361,411,630,311,801,006,900,641,381,802,132,
774,225,560,399,518,988,540,886,096,054,590,429,306,100,038,774,937,340,682,
595,325,492,972,996,068,364,577,507,475,990,047,352,807,109,595,390,808,118,
365,064,705,277,896,222,023,125,372,764,004,972,617,659,747,431,367,163,903,
667,501,904,760,044,197,639,372,046,531,671,557,256,043,298,765,440,198,202,
842,064,122,688,079,471,574,934,809,352,643,615,670,078,646,434,601,731,678,
585,276,473,300,654,836,504,437,155,637,778,137,707,595,627,806,057,716,709,
035,756,860,739,046,939,573,800,049,544,391,573,469,178,416,608,621,802,436,
262,698,535,035,742,279,524,386,962,914,593,033,703,141,011,081,389,246,120,
649,737,084,134,640,537,931,279,174,419,022,447,159,730,114,853,718,550,028,
515,303,274,468,725,914,386,939,630,143,349,957,359,259,596,162,133,362,698,
935,944,253,459,947,503,070,308,155,696,240,926,387,238,298,163,276,804,542,
756,452,320,306,937,696,057,792,149,890,063,988,436,003,046,681,519,653,752,
758,580,295,893,408,130,616,906,508,296,958,355,325,850,875,016,257,438,333,
004,905,645,436,928,124,890,892,087,832,018,015,967,975,634,984,889,709,793,
974,003,374,828,884,568,955,202,899,850,433,124,964,328,438,044,947,347,151,
733,132,160,462,172,498,260,149,901,222,962,597,814,465,669,642,926,751,466,
126,582,493,424,304,283,557,174,459,474,197,457,503,682,427,895,114,060,081,
187,967,257,457,110,451,189,400,558,072,459,250,478,986,610,516,658,659,090,
271,132,094,943,724,424,684,758,389,566,927,766,200,101,460,293,854,953,053,
206,418,588,692,615,483,511,295,646,412,054,313,060,450,529,148,387,153,839,
368,500,132,898,193,411,071,473,940,192,994,361,572,164,897,341,624,730,123,
881,656,094,675,445,168,644,894,121,400,194,721,253,331,134,074,729,466,240,
130,620,950,276,307,969,820,321,611,759,020,790,502,111,649,574,843,035,636,
351,401,183,726,802,879,463,284,348,309,641,651,430,398,441,277,636,317,523,
277,482,853,711,081,182,633,131,871,107,017,702,953,414,793,500,925,492,113,
328,520,528,975,810,756,817,024,731,583,498,867,613,497,343,915,838,572,647,
122,289,558,171,203,667,676,083,642,794,069,944,025,794,675,788,293,570,368,
970,112,464,490,268,772,152,327,386,662,874,599,438,914,034,567,635,941,341,
302,576,747,546,066,896,398,365,992,582,165,890,641,100,361,739,990,609,013,
320,627,995,095,681,737,751,846,311,526,936,583,415,638,011,321,616,564,168,
889,639,836,478,335,102,846,593,489,076,945,841,969,575,780,084,851,890,662,
158,215,009,301,029,826,673,758,817,967,772,885,925,670,033,075,951,516,391,
720,866,423,610,060,975,006,901,420,065,002,763,282,873,037,707,962,284,192,
727,061,357,534,237,137,125,637,776,565,769,068,568,194,379,498,200,436,050,
796,305,342,967,732,782,276,590,728,819,730,342,144,933,841,239,917,871,585,
742,523,555,956,411,626,174,854,897,270,360,516,921,448,683,416,795,639,894,
221,284,325,148,020,828,592,887,536,710,240,798,700,135,580,831,966,920,515,
706,572,868,822,935,151,722,037,097,353,921,616,188,947,582,797,544,383,258,
652,140,368,686,228,811,637,722,364,965,683,238,899,633,669,443,430,948,112,
379,168,106,099,526,829,280,082,279,735,566,666,447,221,059,664,181,051,974,
423,001,480,751,994,907,980,290,290,766,111,076,417,570,144,694,238,050,293,
919,870,971,487,116,951,702,083,661,388,620,955,836,114,295,091,685,772,328,
658,269,743,655,373,751,133,912,500,658,231,190,615,991,845,063,553,212,183,
350,766,937,570,557,784,116,468,480,918,542,444,147,629,520,587,387,654,181,
416,093,162,117,658,490,635,826,166,397,808,995,637,102,372,504,962,638,738,
201,712,989,555,805,369,797,104,455,065,031,621,021,683,801,665,327,466,547,
948,237,886,881,435,677,704,014,489,773,539,485,043,268,450,467,020,243,567,
840,392,839,895,309,124,899,627,832,944,440,923,522,846,260,508,227,017,323,
467,987,552,747,466,977,653,150,206,495,870,485,751,891,391,547,122,713,454,
704,173,119,371,986,228,695,121,454,091,122,552,384,047,132,576,400,355,186,
319,562,356,246,239,053,048,940,030,489,402,190,487,574,370,345,586,169,452,
717,593,932,338,283,980,531,580,225,339,697,070,785,801,676,806,422,456,943,
939,062,783,963,333,149,524,162,215,479,228,730,713,062,981,835,575,526,456,
412,183,619,156,124,186,561,448,561,292,691,170,502,805,796,856,539,827,005,
524,695,108,438,195,355,025,004,689,504,116,737,992,131,256,789,550,538,586,
619,491,275,076,691,770,463,199,003,600,974,370,420,429,257,288,929,707,967,
361,664,715,707,244,398,689,416,243,708,171,726,057,227,058,375,447,446,467,
220,728,257,541,743,707,060,757,838,215,575,712,023,321,200,923,591,124,304,
741,422,384,506,768,617,244,297,232,313,852,361,756,926,990,013,255,075,768,
978,849,015,301,933,111,709,484,837,250,027,992,096,417,141,832,144,783,109,
979,378,300,745,036,412,598,388,425,653,111,158,988,184,595,792,651,539,880,
628,570,357,639,266,659,230,242,901,166,355,505,173,204,814,390,036,743,798,
089,485,424,663,526,537,515,637,340,287,611,788,777,513,869,601,519,719,758,
396,284,019,511,309,122,868,428,718,676,677,802,856,907,039,246,757,498,875,
961,408,846,112,041,704,251,457,882,677,839,069,014,043,180,157,563,030,248,
820,062,956,411,315,497,449,271,213,341,245,596,282,809,093,817,410,997,263,
476,995,825,309,917,588,728,247,248,310,267,811,804,674,611,614,572,664,029,
684,986,800,106,601,681,808,547,572,932,761,936,154,704,372,381,510,387,952,
165,287,882,891,672,160,078,116,741,834,246,816,158,359,422,289,763,232,250,
195,881,148,283,745,171,096,697,747,124,219,459,754,613,164,557,718,372,470,
542,504,183,052,106,470,364,597,080,323,702,006,575,702,255,438,541,650,203,
112,373,718,390,385,006,062,379,362,543,823,904,213,401,899,998,466,657,616,
661,164,335,331,914,289,576,245,020,541,975,185,735,698,581,918,517,426,544,
760,736,312,927,577,405,813,831,023,140,079,632,253,611,433,743,749,361,255,
438,381,204,320,686,427,714,778,860,263,373,208,830,743,857,738,632,736,931,
755,456,421,643,229,311,645,220,478,196,767,722,149,049,160,923,599,972,111,
327,245,585,924,137,850,534,937,594,795,936,679,079,166,506,796,196,938,726,
093,966,497,218,347,441,338,067,346,135,688,901,678,487,359,918,049,628,624,
857,139,623,872,046,013,671,360,023,371,499,996,087,446,362,295,687,331,306,
268,731,665,909,827,658,433,046,782,268,505,387,355,740,235,388,445,655,271,
766,348,853,697,570,328,337,315,038,129,161,844,903,513,351,525,096,053,105,
203,855,894,910,672,318,018,373,179,591,481,256,283,996,872,404,823,316,882,
351,438,340,879,909,758,461,395,544,782,241,865,678,262,875,603,680,090,050,
350,565,356,497,465,996,838,264,717,754,972,412,001,686,290,898,929,987,728,
785,998,808,725,195,817,838,511,917,243,374,092,217,679,350,318,175,403,791,
641,689,717,594,788,258,501,365,271,985,968,124,122,755,472,767,434,045,946,
001,598,941,470,532,356,350,256,156,355,329,837,475,075,786,008,649,043,097,
417,872,211,011,334,334,904,467,431,453,250,075,689,495,504,346,223,881,884,
448,827,810,128,171,992,298,384,375,239,437,703,680,636,780,917,314,036,944,
290,401,338,587,211,877,512,137,186,814,690,246,743,219,036,086,108,607,039,
786,699,397,482,447,890,881,244,195,601,142,545,707,603,339,635,804,039,898,
542,565,709,088,812,892,976,809,530,153,607,700,325,686,937,469,926,709,519,
243,861,090,966,199,369,744,371,585,436,292,896,703,185,689,168,328,256,366,
637,750,667,747,404,442,570,320,157,937,230,579,063,088,856,509,644,829,370,
051,691,942,371,140,515,545,783,873,262,502,736,703,336,526,628,284,595,376,
778,227,032,116,897,204,979,693,303,477,249,221,456,505,912,876,358,057,811,
533,024,478,368,446,313,456,602,707,987,456,751,460,400,836,138,125,563,915,
243,545,675,188,411,440,345,585,763,943,418,629,951,036,601,600,683,774,892,
589,290,592,809,795,571,901,730,631,230,211,951,359,941,188,596,223,513,979,
336,579,855,042,235,032,104,163,555,650,265,633,268,664,974,863,937,783,899,
470,534,719,466,065,856,349,150,244,221,479,141,345,533,859,760,934,418,073,
698,082,991,059,929,966,910,087,199,800,411,904,059,634,046,651,346,382,946,
024,066,212,996,154,535,785,373,555,653,243,690,336,823,029,675,667,181,884,
053,458,522,335,995,603,318,858,742,685,652,280,732,426,418,263,151,392,854,
384,633,056,639,941,186,008,579,737,903,134,332,658,639,340,053,651,121,809,
667,257,984,133,116,241,981,349,394,022,724,124,292,005,458,883,767,464,936,
761,044,182,400,596,248,483,961,801,782,758,449,763,358,842,230,588,701,647,
714,516,787,892,409,900,786,540,850,896,505,408,337,388,424,299,480,947,731,
257,471,777,772,008,151,079,074,302,942,086,609,367,055,238,863,119,633,251,
978,564,442,275,175,520,974,850,310,415,219,064,653,083,919,121,740,890,746,
026,982,671,771,516,211,290,519,003,220,590,942,900,419,621,804,405,206,754,
851,735,327,458,940,255,193,699,039,114,412,621,195,719,378,791,573,106,006,
290,931,429,679,038,752,994,689,431,741,919,365,340,440,551,974,200,003,716,
737,443,933,439,199,580,588,687,346,586,087,117,702,022,093,298,129,132,769,
160,792,610,230,365,031,219,974,793,722,641,395,491,450,368,688,759,245,027,
046,151,771,566,733,286,913,733,921,841,055,770,852,679,065,322,381,700,102,
996,374,829,553,807,928,908,272,979,526,393,900,637,190,363,546,728,226,657,
473,223,786,360,103,334,367,576,913,280,770,900,639,010,659,077,494,373,889,
808,610,719,975,460,159,576,929,342,528,286,044,749,228,527,018,762,596,993,
288,565,609,517,574,367,188,155,998,252,946,623,725,844,731,040,512,953,691,
724,057,623,803,983,010,010,143,953,321,456,068,467,484,054,515,458,674,183,
636,258,005,119,893,316,928,141,187,013,829,590,949,331,396,279,554,428,024,
157,152,746,557,943,554,274,486,597,758,978,619,375,694,205,325,481,659,463,
387,591,682,579,530,780,091,622,867,081,281,645,271,696,561,528,797,308,028,
986,078,974,511,583,551,600,898,998,660,481,437,348,953,551,059,763,361,691,
069,116,547,582,570,190,370,290,420,429,738,176,891,712,162,261,303,342,188,
431,508,725,921,562,292,491,415,311,118,751,047,367,394,627,127,295,375,061,
025,354,490,882,043,516,488,810,777,331,093,997,012,547,422,089,712,989,292,
736,978,116,697,396,155,704,794,322,578,491,513,715,124,484,677,073,435,535,
781,993,187,254,747,695,373,872,838,039,908,183,964,955,802,229,659,215,077,
996,022,530,631,263,213,000,557,739,472,159,685,979,631,017,166,501,218,490,
309,405,576,836,190,737,627,572,022,707,622,883,261,743,902,875,646,432,279,
766,343,574,393,783,840,867,684,400,792,977,400,020,295,777,606,385,687,867,
414,712,973,487,432,616,240,973,328,773,715,303,085,865,228,522,692,539,460,
626,526,238,780,394,258,619,737,708,842,782,897,743,065,995,197,867,948,913,
498,680,832,738,486,866,665,346,305,561,985,636,203,789,729,770,828,504,870,
480,687,073,563,107,938,154,880,569,689,004,805,723,406,194,058,598,071,662,
236,503,149,354,361,995,347,699,474,958,221,280,941,605,958,269,621,210,308,
678,259,967,275,197,696,163,058,357,857,272,658,660,003,289,801,396,793,399,
577,713,666,087,919,484,103,437,473,629,485,602,678,326,950,480,022,976,528,
388,798,674,529,140,260,738,276,273,005,045,869,409,703,284,720,264,400,410,
605,884,174,022,332,015,854,815,885,588,989,685,159,366,991,121,534,205,212,
336,891,534,650,651,995,329,765,531,647,584,410,950,504,105,243,295,480,641,
172,432,285,683,962,555,419,215,881,264,038,052,934,232,778,637,029,782,402,
557,797,012,611,042,284,156,711,893,759,590,925,052,300,493,505,388,238,852,
553,057,955,802,596,148,823,651,955,219,149,338,452,794,188,595,178,678,902,
113,007,467,715,632,172,704,318,785,649,132,024,849,611,475,501,952,065,769,
560,961,877,212,243,993,402,197,699,274,832,900,139,763,092,653,922,917,506,
561,623,874,067,921,575,978,006,344,449,752,825,438,189,163,819,093,353,810,
206,353,749,020,731,117,281,126,755,748,300,151,189,256,411,535,975,197,024,
121,433,729,407,532,853,975,301,400,648,762,937,656,210,934,245,370,062,186,
895,551,951,039,004,414,660,392,282,697,055,734,681,394,348,276,027,190,641,
040,037,714,994,804,434,264,918,090,419,811,128,519,974,865,182,315,331,669,
869,572,408,980,193,482,746,221,053,613,896,510,282,456,873,511,328,411,963,
103,678,061,085,669,105,376,309,847,688,491,868,263,944,889,248,941,000,721,
768,693,685,139,737,447,634,791,057,400,082,556,744,048,457,325,727,807,488,
661,111,217,275,297,002,297,320,844,058,339,129,687,201,711,020,198,390,970,
319,176,499,009,110,011,924,706,352,316,023,217,429,963,041,440,445,832,817,
030,007,738,911,285,455,738,145,407,593,138,819,351,289,177,599,829,339,418,
721,331,994,200,148,657,304,142,082,227,602,946,253,819,783,762,122,835,129,
679,830,452,851,629,554,276,303,709,506,625,177,391,843,306,607,986,172,390,
306,906,532,953,041,742,926,280,628,282,359,488,940,604,617,203,436,977,059,
371,959,427,385,482,222,229,871,288,457,192,715,504,146,389,284,801,340,176,
231,365,252,349,887,761,839,750,483,978,645,868,761,489,290,092,351,118,466,
093,009,557,125,598,102,192,885,604,766,705,318,209,366,402,256,013,987,395,
036,231,426,525,309,570,809,190,620,976,849,103,369,947,510,137,103,007,828,
761,590,025,748,065,283,636,040,836,095,164,651,987,215,142,369,457,190,828,
074,775,006,025,052,620,845,233,398,361,566,559,471,110,978,053,406,245,619,
247,607,496,624,797,700,179,420,403,682,174,807,609,247,906,154,237,182,154,
234,817,758,124,606,988,080,727,537,840,640,269,022,124,420,176,714,981,564,
281,753,037,531,284,105,426,876,888,069,751,991,778,500,058,157,772,834,455,
319,535,071,725,996,383,897,938,318,899,486,449,283,556,823,321,246,870,302,
105,637,375,428,487,700,211,251,913,996,444,391,749,102,787,581,724,572,168,
002,987,797,242,030,135,026,637,495,379,056,621,015,805,464,975,473,917,133,
729,224,192,747,835,079,347,316,726,631,899,915,962,450,698,490,139,771,533,
348,823,202,242,396,172,911,615,252,522,079,847,977,013,903,157,670,507,234,
957,620,118,941,482,710,251,987,532,432,376,670,014,915,268,821,050,878,045,
030,698,896,485,840,289,938,331,421,375,485,714,521,721,313,244,299,415,583,
645,923,583,828,324,878,104,296,904,100,478,953,161,200,953,354,756,263,962,
448,494,483,589,271,804,225,064,734,865,610,146,446,075,184,196,087,237,363,
272,513,890,185,893,121,182,826,064,868,843,568,821,935,688,172,464,264,327,
219,083,875,152,515,099,697,726,151,275,624,523,708,707,791,148,027,207,938,
034,053,687,621,982,447,356,502,788,900,088,633,320,558,246,401,485,767,036,
630,445,019,983,405,053,223,021,679,679,340,537,042,377,237,696,101,138,008,
508,258,805,268,735,694,549,309,138,190,378,787,683,744,246,525,634,115,181,
716,932,219,538,055,540,082,881,148,667,858,724,120,479,374,677,114,395,408,
552,016,945,312,655,134,779,703,614,255,395,462,071,878,135,765,820,767,560,
074,515,760,078,421,890,559,580,576,321,672,491,839,937,620,016,223,572,946,
509,117,612,879,920,456,729,807,967,131,114,049,944,150,122,253,457,048,342,
939,559,584,751,834,922,341,618,889,840,043,336,051,680,317,653,651,654,989,
758,440,688,588,091,216,077,246,556,805,832,377,893,813,092,543,633,265,053,
443,698,799,786,359,821,564,541,014,709,750,402,465,341,373,826,431,255,788,
271,178,637,025,524,852,973,887,038,401,882,161,974,539,435,817,817,148,192,
353,113,000,659,771,433,544,821,458,040,876,738,026,256,337,079,614,742,641,
134,112,597,590,779,075,201,209,029,264,922,894,356,589,414,845,951,879,435,
260,011,171,411,202,955,282,327,643,232,268,194,757,726,383,878,628,563,688,
924,123,944,773,767,042,014,898,273,391,047,774,893,025,629,271,537,628,386,
549,950,877,661,051,986,978,289,997,960,436,852,063,430,367,884,104,833,445,
337,740,601,092,432,040,200,509,609,035,180,570,093,651,391,015,893,364,759,
117,275,363,320,991,189,918,584,103,608,654,965,315,200,268,372,449,406,167,
113,922,070,480,813,262,927,920,928,480,104,142,075,904,959,547,331,944,145,
935,541,569,388,456,851,744,804,632,154,877,816,340,632,682,519,207,956,244,
565,187,793,248,107,983,747,416,260,878,250,778,139,661,805,162,417,827,366,
409,715,135,999,814,553,078,969,986,179,394,036,099,914,277,609,042,089,886,
208,656,435,397,757,990,449,320,650,666,598,073,595,359,474,208,102,731,672,
202,963,934,411,022,454,441,240,748,585,376,202,936,408,171,775,254,644,490,
793,073,259,803,977,096,796,711,818,305,679,035,700,563,039,356,755,958,939,
926,379,250,707,771,860,193,979,941,527,162,858,554,689,963,473,519,710,991,
999,660,294,359,056,492,704,051,571,488,322,917,749,639,715,372,902,035,594,
078,470,316,933,350,625,447,553,393,409,486,342,145,113,983,858,422,094,669,
442,676,785,740,554,421,221,569,281,379,628,805,026,858,077,776,335,672,811,
148,387,111,076,221,747,196,546,853,358,978,908,664,261,311,490,228,733,516,
961,639,574,274,953,166,689,423,784,777,475,847,469,565,138,008,450,017,931,
413,524,471,207,026,255,736,057,976,395,560,700,504,572,089,831,873,339,538,
777,434,314,995,038,053,267,021,202,459,735,973,796,320,491,258,193,325,227,
406,859,606,306,940,938,883,955,598,643,745,537,171,889,004,158,801,278,942,
601,854,824,748,777,356,629,311,325,577,621,821,016,542,146,409,297,711,070,
095,021,626,330,754,317,520,431,776,397,646,929,213,970,467,431,452,840,702,
725,582,583,945,628,919,438,491,265,241,150,252,024,066,791,251,004,145,147,
754,233,497,472,374,379,465,016,748,729,303,106,556,197,625,994,182,981,651,
405,719,169,731,383,597,570,694,455,279,138,910,405,240,737,993,965,343,658,
875,634,569,452,847,991,294,264,340,099,268,209,464,398,096,364,153,923,763,
332,210,958,525,994,374,748,137,161,387,324,310,280,575,133,734,056,866,641,
441,054,312,856,469,356,549,199,286,344,232,182,392,614,450,867,506,273,272,
349,370,721,846,173,411,460,384,298,541,617,178,773,893,634,780,240,644,459,
800,764,681,778,002,573,630,333,632,571,919,802,281,023,846,487,854,979,594,
192,448,216,676,421,457,721,469,960,107,606,646,507,825,543,561,924,604,586,
239,512,802,603,052,817,556,121,197,333,092,221,049,063,647,495,432,537,281,
294,821,910,318,762,541,906,315,171,392,737,493,595,433,712,412,534,614,851,
564,688,151,269,753,498,635,587,234,947,523,705,819,638,670,310,044,814,279,
417,517,347,309,261,236,903,659,949,908,081,282,744,811,811,564,777,859,021,
083,134,117,219,845,643,999,337,046,112,604,835,759,728,380,042,385,743,746,
556,619,424,692,166,016,062,979,181,793,449,470,106,812,184,886,473,701,496,
201,458,577,648,643,451,645,154,878,662,200,020,303,338,866,878,434,860,810,
092,632,118,891,160,177,499,847,759,100,286,254,165,115,251,191,577,832,507,
890,087,167,251,921,190,951,433,317,139,737,174,076,571,869,890,305,231,027,
954,261,326,257,104,494,640,406,837,902,442,890,832,521,098,230,768,454,674,
412,550,826,654,490,906,596,115,128,236,498,856,889,477,217,537,759,392,230,
907,081,555,302,508,931,976,665,854,576,149,434,446,833,042,785,255,142,734,
049,002,230,286,069,286,223,989,170,344,964,807,115,255,789,192,682,055,493,
123,070,387,377,961,286,489,816,118,182,822,788,372,808,812,051,308,082,358,
313,557,895,783,550,609,602,722,871,254,472,966,486,229,102,144,850,400,386,
769,020,910,330,495,587,172,471,899,696,838,658,948,298,495,577,795,208,023,
762,181,996,019,812,789,381,234,586,253,272,441,803,289,431,211,913,744,073,
039,598,426,385,823,240,654,795,808,579,796,380,128,882,281,852,160,327,875,
658,338,597,100,981,566,993,490,798,754,584,850,260,740,589,971,738,709,666,
889,255,674,611,736,124,370,562,947,136,735,243,961,170,251,530,763,544,463,
655,577,854,217,338,406,095,419,589,643,254,651,569,645,174,560,858,484,656,
190,179,060,561,936,570,301,576,191,396,023,099,887,978,970,239,917,927,757,
761,296,334,253,522,893,802,446,941,880,839,362,638,287,472,147,956,849,905,
704,199,772,148,701,425,857,556,700,094,949,109,860,801,741,077,647,026,887,
848,008,313,217,764,645,264,611,786,231,137,438,464,637,808,169,847,385,099,
173,216,670,023,812,167,960,331,822,641,897,456,682,148,544,993,653,448,251,
795,554,774,437,414,880,924,126,531,201,501,495,693,381,137,506,668,530,534,
059,262,749,548,842,985,039,612,638,514,829,471,873,087,132,835,854,456,243,
481,938,025,545,152,097,272,361,880,048,275,628,356,172,290,736,635,355,565,
271,024,486,974,817,841,232,932,753,031,000,491,090,029,495,838,966,927,255,
767,574,819,112,258,710,996,898,023,305,591,283,174,886,055,034,329,909,685,
530,637,088,342,905,804,723,575,094,617,652,361,005,824,935,168,993,242,927,
796,759,046,953,013,881,886,916,649,048,256,248,050,490,011,151,596,741,501,
292,150,768,423,636,309,697,145,360,053,171,159,966,647,719,045,977,181,455,
348,749,605,203,180,933,179,167,013,623,760,092,552,055,628,760,576,488,935,
925,693,127,566,634,068,129,341,249,727,952,581,171,633,963,767,132,553,619,
983,425,263,985,731,562,816,222,152,258,603,264,353,523,728,928,152,851,995,
967,224,650,248,987,401,752,627,902,566,768,856,920,420,166,768,046,804,102,
925,558,240,594,335,231,053,305,220,170,960,230,800,338,792,274,693,081,391,
217,048,035,943,312,313,569,032,630,861,831,220,647,898,388,064,220,117,144,
686,622,401,490,799,705,103,153,416,633,696,769,313,698,063,775,209,980,138,
939,381,571,274,973,949,189,346,711,590,591,912,011,317,193,766,674,282,105,
197,638,031,074,213,374,540,856,960,677,000,584,383,122,194,735,548,891,119,
099,496,536,688,548,863,199,833,708,286,505,305,447,646,744,664,513,784,474,
341,646,886,141,163,586,260,889,922,735,132,458,003,307,457,121,212,827,003,
811,600,446,565,134,071,117,782,508,341,553,457,309,326,132,484,421,649,765,
924,036,431,572,887,485,016,525,006,798,282,667,778,299,255,458,326,754,772,
032,220,308,786,825,192,641,783,990,605,016,298,327,355,324,393,952,896,936,
235,707,437,985,641,337,190,586,344,928,119,982,872,791,642,912,686,269,016,
190,214,162,449,514,681,236,677,410,001,955,269,581,250,580,582,113,515,462,
062,548,160,177,710,417,384,354,039,236,419,803,676,944,016,416,690,336,245,
716,495,907,420,165,409,378,919,115,798,145,626,054,363,214,070,803,404,144,
143,923,480,287,491,359,591,188,759,566,616,448,313,482,093,206,316,029,943,
197,651,074,792,858,831,984,907,678,470,157,185,822,418,997,796,346,298,739,
469,174,922,053,721,350,562,441,172,693,399,106,098,867,367,682,904,131,202,
675,305,089,170,779,636,489,424,293,892,807,147,543,670,608,753,243,156,709,
355,565,633,701,974,351,329,280,541,921,662,425,501,191,076,852,218,882,682,
960,520,845,458,893,119,881,916,223,988,762,804,315,281,849,509,505,056,495,
256,009,673,630,361,868,548,039,965,528,835,691,301,661,356,403,123,396,409,
833,486,498,252,267,439,717,176,911,319,649,349,144,553,378,315,215,382,094,
894,663,168,571,954,172,813,861,272,932,655,288,617,511,863,118,309,778,790,
098,716,715,944,897,319,053,540,885,625,965,552,644,922,053,008,902,571,023,
690,527,142,269,252,403,479,552,519,006,471,898,710,182,233,258,840,699,357,
729,446,598,064,488,164,152,957,546,175,325,715,943,277,697,313,508,794,203,
201,779,797,207,546,746,062,239,997,939,413,627,608,154,145,824,248,383,993,
036,863,772,955,597,644,390,208,002,656,920,750,191,315,946,148,592,049,461,
394,190,250,938,365,167,076,380,694,860,419,281,596,201,523,477,085,930,790,
654,912,850,621,430,932,258,085,013,177,577,030,781,686,626,553,187,611,148,
346,864,844,161,842,957,190,431,092,635,201,461,009,328,040,512,921,455,799,
710,894,694,836,967,689,977,292,094,860,002,639,400,523,130,939,437,642,803,
698,342,965,698,754,360,574,575,996,855,086,913,741,454,956,194,367,456,567,
073,477,261,526,493,043,210,650,653,412,459,016,242,649,254,854,483,424,387,
139,015,797,688,931,489,349,647,526,674,284,785,794,135,776,392,397,366,906,
928,542,627,711,100,906,984,623,730,966,841,476,184,183,408,191,978,567,741,
129,437,848,252,035,571,534,984,438,551,859,227,573,497,860,523,868,205,475,
435,797,196,907,366,201,183,838,196,329,265,485,962,574,054,265,647,038,136,
572,054,062,811,702,298,096,667,526,687,998,009,167,758,159,988,917,052,351,
134,802,865,376,402,479,465,108,596,950,456,052,038,338,359,307,880,330,152,
342,731,823,700,969,808,004,541,369,272,709,531,376,029,564,777,428,213,707,
139,912,342,423,465,105,724,766,788,029,178,267,711,227,797,972,614,541,346,
928,873,337,466,034,731,677,359,346,235,747,778,597,757,473,263,483,721,693,
922,594,796,212,163,099,454,147,059,587,140,664,524,175,363,643,666,351,330,
000,807,744,048,775,669,973,424,261,315,276,558,687,019,995,136,469,050,726,
258,506,435,256,760,271,477,768,057,126,386,587,064,406,905,269,694,966,909,
831,396,965,299,234,636,324,271,019,659,181,892,262,039,945,085,625,474,557,
069,024,137,007,493,510,006,584,001,621,478,104,062,146,830,445,693,166,848,
226,052,168,845,020,499,308,066,828,224,777,061,034,922,450,802,420,840,104,
111,996,345,700,450,884,582,706,677,211,011,380,733,407,040,005,858,203,425,
810,600,734,940,291,916,040,972,003,772,809,651,634,794,460,963,665,289,163,
057,478,485,177,257,382,451,922,566,687,645,313,753,235,352,771,556,358,155,
041,584,257,473,154,604,158,221,965,682,695,753,827,794,540,705,782,962,242,
785,005,571,701,325,834,973,103,021,031,118,819,166,545,770,289,019,125,855,
579,031,888,825,477,834,064,034,177,432,442,295,104,515,993,991,435,603,348,
417,825,302,099,968,797,125,024,360,732,339,894,861,430,208,313,593,747,222,
915,816,130,492,784,885,113,443,723,896,969,376,285,632,833,540,034,419,125,
161,413,491,793,446,293,273,154,906,744,131,556,523,088,226,832,924,125,376,
932,438,349,810,325,843,302,895,024,747,094,286,444,486,262,422,777,850,486,
636,547,917,358,819,094,349,477,069,258,583,404,275,963,145,150,936,025,703,
945,366,960,529,793,180,857,137,184,427,812,195,242,269,866,086,440,599,534,
892,143,291,229,383,859,028,745,877,533,693,273,729,751,938,057,635,960,507,
525,410,000,564,842,410,204,406,565,511,485,044,631,056,604,312,015,856,112,
288,898,034,298,364,627,535,087,976,933,658,344,898,860,333,092,496,707,463,
226,226,619,432,722,504,254,007,572,444,991,249,617,584,178,978,839,342,581,
270,526,863,987,239,311,241,993,972,452,888,495,609,136,085,697,272,952,583,
622,444,741,853,712,531,489,164,735,537,766,508,585,647,404,470,426,207,630,
561,982,452,405,835,245,793,830,476,620,625,823,483,424,435,693,008,166,843,
165,522,557,633,643,420,173,197,038,231,989,011,017,499,440,561,039,181,979,
969,363,744,528,760,156,136,872,710,055,580,650,345,693,588,197,326,301,744,
167,762,716,389,730,592,017,853,468,488,350,589,561,656,378,659,018,773,748,
513,486,430,090,085,422,477,835,832,448,485,013,935,813,100,555,609,266,473,
953,197,426,879,225,710,262,361,802,666,832,256,382,313,901,795,414,270,686,
388,634,483,804,172,393,816,706,279,207,059,868,835,918,213,542,132,079,349,
391,983,961,374,827,917,484,395,234,591,828,537,404,287,694,057,577,405,330,
915,158,427,957,314,456,381,004,395,751,849,159,501,941,016,221,344,733,911,
476,961,971,605,152,364,526,931,437,702,508,407,059,115,924,478,459,601,339,
590,978,819,121,354,778,707,157,780,447,188,462,003,879,966,409,526,063,603,
743,927,632,180,757,031,088,114,914,819,353,934,678,057,039,293,956,981,246,
170,525,378,615,796,675,894,598,136,011,550,263,660,074,524,039,142,393,047,
906,159,864,669,932,659,374,153,826,258,481,755,660,020,742,315,618,077,380,
594,027,697,610,889,944,222,587,978,337,554,274,113,692,569,103,394,975,124,
098,976,096,987,688,318,611,734,385,212,684,431,123,362,646,297,241,098,330,
962,189,620,607,337,476,803,614,891,091,343,564,175,202,257,390,380,469,860,
271,206,432,878,766,368,941,952,708,954,058,238,441,913,110,130,629,750,880,
975,431,960,234,804,191,728,526,255,783,159,980,528,001,835,866,112,179,672,
562,578,950,343,221,531,046,099,402,145,250,424,172,214,725,600,889,117,101,
301,408,648,659,246,044,740,553,637,816,809,076,640,637,352,897,872,380,154,
663,008,723,766,684,829,039,078,040,349,780,489,994,987,921,848,241,711,301,
588,929,940,842,695,777,555,342,701,908,515,374,990,553,471,256,949,499,727,
133,687,688,560,543,309,174,805,629,170,152,260,057,851,252,062,096,147,459,
365,023,052,995,476,945,635,373,455,329,042,038,276,839,276,319,034,777,466,
154,551,583,650,588,041,188,493,263,472,409,450,898,071,153,688,078,372,927,
880,916,270,162,108,352,610,579,270,327,811,003,958,168,834,639,860,050,028,
467,654,912,528,046,709,863,880,300,801,329,757,929,969,417,963,884,043,441,
130,346,352,550,349,673,536,027,897,310,513,151,121,290,363,394,480,391,779,
838,668,949,290,049,250,784,261,686,896,778,277,777,687,932,511,307,899,182,
638,620,894,730,935,599,196,744,006,178,851,594,835,486,628,674,880,311,451,
199,230,588,228,295,317,770,832,073,926,355,928,140,612,178,012,008,198,566,
119,007,750,690,069,915,789,312,298,727,538,794,971,000,186,881,056,069,664,
669,959,641,147,179,468,751,283,344,773,865,946,198,275,678,334,027,594,148,
510,794,811,223,851,710,669,936,995,646,399,638,543,407,801,790,727,986,287,
028,139,480,002,445,005,238,844,718,229,423,617,024,033,689,279,148,684,847,
331,418,498,736,503,515,466,701,761,815,428,513,729,194,330,449,891,614,421,
845,303,821,042,287,308,898,419,201,920,782,566,460,850,272,443,449,982,772,
352,922,396,543,568,479,735,809,683,297,922,651,551,568,632,256,605,560,145,
002,752,930,008,349,868,042,594,423,874,798,883,124,436,928,665,133,339,765,
761,750,530,988,238,108,321,804,273,390,971,991,022,708,795,366,483,076,323,
948,063,989,428,769,567,953,531,768,878,950,534,291,836,382,257,222,627,186,
607,088,575,886,405,234,472,090,587,273,036,003,142,870,230,671,404,677,291,
924,152,222,934,743,916,686,911,117,602,290,145,983,543,569,269,469,565,880,
315,108,547,775,342,914,521,478,213,649,657,179,983,150,450,409,870,002,885,
417,704,702,308,584,068,966,125,923,130,852,108,055,696,179,175,455,898,184,
150,816,469,860,012,355,402,896,175,281,859,769,210,679,363,380,725,301,990,
223,106,528,784,597,635,212,202,053,911,397,759,820,321,200,827,388,008,994,
814,566,638,940,649,314,537,435,924,221,219,901,817,484,488,542,933,267,878,
706,016,605,535,542,504,003,125,911,529,464,396,236,203,514,900,733,112,439,
307,468,204,274,943,074,520,580,835,092,835,628,443,916,161,313,111,436,330,
911,209,294,263,671,190,873,960,899,993,472,709,153,829,323,313,448,925,993,
767,883,819,570,579,816,670,444,284,470,126,810,763,761,294,681,334,673,096,
701,009,600,286,391,791,400,832,620,834,946,906,013,446,206,901,058,226,272,
591,082,848,533,323,009,986,226,455,149,891,033,588,668,800,288,097,952,069,
426,331,954,744,772,990,989,932,376,195,852,885,943,095,832,562,565,831,299,
181,341,859,414,115,243,518,716,053,220,130,489,623,875,526,143,378,673,165,
684,160,640,348,913,802,149,893,535,575,801,947,155,770,528,605,055,689,520,
839,739,179,628,815,598,480,241,489,605,733,520,860,106,191,187,498,205,158,
637,719,541,953,250,277,955,434,922,706,929,434,267,843,919,496,843,629,248,
248,221,165,303,659,480,581,176,261,077,465,212,399,106,282,082,729,336,564,
945,716,253,167,008,558,103,626,584,171,896,433,145,061,641,308,646,999,166,
422,563,675,687,320,324,432,484,154,925,758,658,406,054,665,591,727,923,738,
238,478,609,982,221,442,016,600,047,142,626,236,955,617,199,233,821,032,589,
666,272,078,245,546,268,380,860,171,331,246,289,353,605,866,030,119,975,715,
788,156,258,897,434,365,873,307,904,171,681,625,649,858,417,625,616,386,215,
953,472,876,548,915,576,543,566,707,782,219,061,723,124,821,524,339,323,427,
728,437,518,496,348,155,052,703,582,503,216,328,205,335,689,482,109,774,854,
726,386,147,523,436,751,508,437,514,868,243,880,669,967,071,075,017,962,284,
515,238,970,472,579,445,443,564,624,478,326,920,557,497,374,097,015,921,553,
849,934,215,182,625,129,734,681,596,754,375,797,004,779,310,961,794,501,269,
153,794,057,657,649,779,511,272,093,180,472,225,305,765,751,614,491,755,571,
463,100,915,635,457,068,991,432,684,207,373,861,148,113,669,270,022,716,404,
801,981,818,360,951,529,863,431,580,778,810,330,901,750,930,617,523,741,875,
983,581,241,216,153,656,108,923,623,121,207,516,307,418,736,302,453,992,126,
897,767,852,888,218,578,530,891,035,021,343,891,406,592,214,537,486,384,444,
264,797,899,806,398,063,161,113,206,180,219,959,861,206,729,701,418,886,242,
241,922,358,429,691,657,503,376,715,305,630,135,599,425,210,415,511,013,065,
673,944,000,368,503,918,571,100,559,234,538,845,940,452,320,891,002,939,970,
765,755,484,202,495,501,784,645,070,011,678,038,008,251,057,600,578,828,741,
114,830,619,005,039,818,591,262,189,630,618,027,644,130,760,303,100,140,994,
559,340,460,941,592,245,119,788,806,929,025,097,190,355,813,724,011,973,593,
007,404,088,571,456,907,136,089,507,846,993,826,753,325,435,321,190,154,183,
929,147,897,821,604,100,945,722,494,559,170,415,562,173,535,636,799,821,727,
742,158,684,034,357,429,349,453,119,340,875,655,083,629,935,190,892,133,978,
024,045,692,996,326,278,217,133,170,845,306,519,614,916,052,732,582,549,843,
879,261,182,963,148,086,806,690,875,359,215,387,427,376,336,144,242,889,222,
180,311,299,377,873,194,111,368,496,821,774,450,275,147,514,927,319,461,701,
832,138,729,195,868,857,757,987,753,224,234,506,949,869,588,478,209,016,082,
751,395,862,896,462,297,638,593,027,354,793,719,188,866,078,699,869,689,829,
195,957,300,033,392,159,345,352,672,182,233,593,222,974,651,417,669,689,927,
131,530,841,667,959,412,280,326,725,332,489,034,322,342,185,113,808,649,147,
110,029,277,940,499,457,161,226,638,450,256,794,855,819,974,075,287,710,132,
299,830,709,353,001,856,018,943,540,076,473,247,483,699,068,622,918,889,122,
078,980,150,452,139,234,770,164,683,111,376,371,641,928,845,126,930,557,151,
665,727,787,321,561,428,113,818,760,116,094,811,648,663,511,052,338,610,771,
481,222,658,065,934,363,163,391,378,361,730,609,397,511,828,478,941,908,116,
175,847,868,546,184,793,530,397,589,188,618,832,691,683,033,178,680,464,724,
569,234,393,252,996,076,944,393,227,249,544,763,580,367,021,664,761,903,765,
185,774,241,174,667,143,022,602,361,049,756,763,135,102,263,788,689,996,087,
847,849,764,516,219,079,037,462,466,151,573,003,737,596,285,915,328,261,939,
730,583,233,222,817,634,847,897,999,070,385,705,737,536,838,199,973,072,492,
539,711,012,997,670,023,576,286,425,479,248,425,783,465,909,216,020,358,692,
530,862,721,504,432,171,790,485,858,071,060,188,420,332,175,540,825,557,876,
799,079,292,090,475,529,702,982,388,268,799,286,800,056,193,665,161,097,404,
682,114,774,590,064,666,192,685,043,310,682,484,337,131,826,519,340,565,691,
002,367,056,242,388,973,224,067,291,544,275,737,436,200,544,873,767,715,533,
072,301,394,229,836,602,682,908,677,578,791,805,656,597,787,705,898,677,667,
691,920,870,410,811,444,320,079,849,002,071,462,167,695,651,337,559,053,339,
367,528,958,501,534,913,016,817,746,808,849,643,363,041,080,884,487,269,054,
894,954,320,300,457,162,778,812,654,202,929,340,211,598,730,402,134,429,194,
890,250,298,739,490,811,004,301,373,158,794,539,354,000,722,674,239,779,261,
243,218,010,631,353,599,002,118,583,516,541,142,734,208,597,652,128,538,071,
923,876,795,214,390,531,759,804,773,895,605,211,794,720,935,201,554,906,284,
285,583,431,149,755,752,739,146,122,356,520,945,269,866,459,742,146,110,273,
261,948,179,186,210,022,284,690,612,643,043,313,038,314,460,748,055,280,388,
961,227,662,366,101,578,944,618,650,381,434,289,562,500,971,900,011,077,915,
075,690,068,841,377,198,865,875,040,286,537,405,878,550,489,827,032,365,461,
352,449,189,756,756,109,337,533,594,723,220,630,516,084,482,004,168,356,974,
052,534,745,277,231,042,192,807,120,878,469,561,819,548,946,527,175,632,180,
372,229,310,110,092,926,240,363,116,638,230,462,202,943,239,400,749,538,227,
913,558,101,235,773,125,907,143,840,003,815,880,630,868,029,712,241,901,043,
963,264,709,154,949,713,556,728,537,446,474,326,027,307,144,799,912,505,157,
020,184,082,812,104,166,035,713,044,179,030,993,901,402,236,865,337,316,041,
153,536,329,034,140,256,030,281,523,589,198,859,241,621,949,451,010,569,380,
574,755,487,678,498,214,063,732,884,535,238,216,833,889,940,288,768,347,614,
337,438,302,119,251,048,219,578,128,752,127,200,573,693,505,755,059,290,414,
121,373,442,599,278,461,453,175,952,061,147,528,043,793,478,572,769,300,983,
053,850,618,473,266,500,452,311,973,186,382,573,005,264,731,263,351,821,704,
849,156,174,579,105,717,998,214,234,640,957,837,770,619,388,105,635,844,812,
574,934,342,685,922,771,734,118,993,735,585,353,786,001,922,369,789,004,524,
766,758,603,172,228,555,356,761,812,024,935,852,329,776,825,755,968,228,738,
911,008,301,310,011,423,512,019,135,344,641,178,546,776,771,574,838,140,522,
371,072,167,819,906,265,890,056,285,859,656,023,934,831,741,249,698,679,631,
009,620,878,732,871,653,230,488,195,320,605,524,227,282,999,143,300,630,522,
090,816,364,284,937,159,339,990,301,548,756,908,370,395,466,646,185,430,026,
209,270,852,599,035,814,367,177,111,829,217,349,990,486,534,965,354,170,852,
031,277,007,959,698,509,741,091,990,870,091,297,671,050,596,418,266,022,594,
290,533,074,885,549,721,557,314,272,581,756,394,277,968,814,458,151,198,301,
210,800,007,352,087,514,854,807,749,160,774,220,261,027,705,141,047,887,393,
013,654,852,631,633,316,775,392,456,851,967,470,073,612,811,794,018,413,183,
742,757,515,996,040,042,495,876,870,185,996,495,358,022,256,566,480,060,407,
591,198,020,398,626,520,744,673,554,612,800,782,287,976,328,122,068,081,903,
389,788,449,996,683,312,378,839,593,797,280,486,411,274,286,133,077,926,441,
274,348,309,754,088,076,528,859,592,664,932,142,381,050,777,552,113,483,432,
440,549,040,266,756,962,583,129,324,040,574,908,305,731,708,283,133,930,170,
399,427,415,974,046,310,996,764,953,875,535,309,502,711,962,196,592,885,753,
991,396,453,835,263,956,332,045,009,787,414,944,613,053,567,545,570,635,278,
971,551,852,279,294,090,688,533,068,504,481,624,657,040,449,205,481,703,081,
315,870,122,177,955,795,777,865,442,520,755,364,002,849,159,210,316,279,111,
039,963,713,073,405,717,679,462,149,677,847,961,139,110,642,549,750,667,032,
311,235,579,277,053,754,571,556,767,480,091,673,030,032,643,023,147,112,608,
104,075,001,057,865,589,539,376,447,764,076,212,104,609,801,872,283,258,540,
370,444,040,609,607,738,171,899,461,737,986,748,347,145,476,539,762,943,619,
953,957,379,583,412,467,166,044,715,973,386,564,519,967,221,775,033,325,611,
452,592,837,182,994,322,067,289,596,572,273,660,462,507,299,319,255,908,304,
768,832,298,167,396,208,444,134,887,279,346,264,200,265,529,756,463,215,384,
620,977,095,936,357,532,808,527,955,200,392,778,253,198,848,610,945,596,577,
408,519,243,545,897,306,240,705,871,774,146,404,803,088,349,745,810,330,027,
018,287,628,433,291,365,467,772,216,389,572,480,125,328,080,772,093,170,803,
411,487,215,328,624,883,597,919,373,567,088,840,413,682,046,602,714,010,690,
195,278,146,587,171,471,026,286,446,869,543,190,529,725,311,462,113,016,664,
936,578,789,161,686,082,496,165,215,383,001,957,596,505,921,926,395,759,972,
740,413,740,793,202,640,344,311,746,796,757,640,620,259,429,398,928,962,885,
827,335,930,886,564,770,819,433,186,666,895,248,278,993,016,490,900,451,699,
681,524,611,303,481,598,589,416,915,997,549,692,172,409,183,171,207,228,317,
337,788,535,401,551,549,466,474,202,907,325,592,662,531,859,868,926,894,181,
605,699,130,344,906,425,994,589,446,786,742,286,920,047,468,349,362,611,485,
117,351,983,538,459,246,009,722,443,071,927,202,561,926,149,875,997,177,796,
225,351,620,117,416,161,901,475,285,350,602,150,170,155,480,818,755,122,563,
632,840,120,967,374,029,813,367,447,803,173,142,705,569,477,521,756,628,152,
984,461,709,813,800,277,386,069,051,939,844,103,139,920,263,351,590,856,231,
238,486,106,448,094,561,141,133,703,204,338,454,013,002,897,506,776,319,498,
126,689,393,864,537,317,348,851,012,216,975,703,951,292,291,257,839,382,895,
347,824,952,170,299,766,137,870,110,161,086,596,435,817,112,957,094,832,010,
453,293,483,229,198,350,556,190,612,827,808,334,063,739,124,374,064,936,237,
660,604,026,840,168,552,938,732,094,685,988,577,225,642,535,863,371,605,216,
545,240,162,092,126,167,531,460,688,809,973,427,494,170,565,222,689,116,621,
583,655,364,113,782,106,465,020,910,081,318,455,462,876,454,301,484,549,184,
104,428,164,338,406,131,366,739,488,326,616,824,682,675,250,428,965,696,381,
816,441,752,537,706,985,816,616,173,993,396,276,192,620,903,040,196,442,291,
844,994,570,677,527,136,522,878,913,283,340,232,910,088,488,616,851,184,707,
281,909,487,721,782,389,726,253,551,117,912,318,517,242,446,523,737,663,547,
637,908,650,655,767,615,549,579,146,391,183,427,481,459,486,132,300,318,334,
887,800,023,559,274,453,737,504,402,445,913,840,137,871,287,208,148,393,835,
465,947,027,340,834,672,741,392,998,624,086,206,637,194,863,297,562,993,755,
126,398,524,876,667,890,785,985,888,451,623,899,913,230,250,097,793,324,419,
924,374,293,204,886,536,493,228,644,941,127,173,742,719,170,945,871,995,929,
519,886,021,192,233,162,805,278,308,520,471,675,131,353,425,826,778,035,958,
537,900,819,845,643,063,868,935,933,858,346,402,312,787,155,158,222,893,252,
656,339,141,229,211,355,924,974,620,738,331,333,473,262,042,061,281,325,446,
636,024,704,862,881,471,982,609,074,180,265,009,061,595,981,054,190,318,787,
309,027,760,319,407,602,355,541,290,817,336,388,089,503,562,549,281,043,159,
758,876,273,234,911,928,445,361,843,712,474,838,566,934,066,519,423,728,689,
919,060,327,898,721,205,411,781,942,111,776,956,761,814,944,275,018,649,074,
203,413,796,871,230,204,722,034,053,002,523,657,829,596,862,817,853,025,728,
757,397,966,227,368,540,547,927,426,113,224,967,953,179,441,618,285,012,081,
024,687,903,656,421,349,088,068,603,651,675,840,389,663,116,593,834,073,099,
979,711,918,695,908,393,999,569,265,038,412,821,539,934,954,818,617,774,263,
774,012,203,083,535,168,649,130,546,133,212,882,389,926,118,745,515,472,952,
026,238,755,091,496,158,925,219,931,605,473,019,308,193,381,984,601,108,125,
931,997,501,582,583,902,308,003,360,864,345,806,895,338,158,461,864,144,801,
629,632,894,526,491,882,197,737,611,157,191,381,097,622,571,005,315,729,087,
358,790,306,421,454,723,453,536,223,204,133,946,716,437,475,811,176,245,482,
150,239,971,720,602,034,927,076,854,748,032,732,047,132,746,473,611,014,634,
516,366,109,040,195,851,955,431,033,671,345,681,497,279,698,407,908,925,721,
824,133,792,893,558,017,307,758,388,606,958,066,140,569,141,524,912,408,063,
603,649,648,027,985,111,552,513,818,742,841,331,118,902,249,939,972,665,149,
274,948,943,513,912,974,726,074,313,216,995,640,363,841,750,959,263,394,518,
601,487,412,795,152,905,672,178,417,277,025,208,187,816,321,540,924,578,248,
951,940,843,765,976,927,945,491,623,840,418,773,755,701,523,760,472,883,483,
242,613,241,120,726,156,994,757,925,898,254,560,198,630,018,527,195,793,347,
357,827,949,172,701,957,622,048,488,176,370,400,830,591,504,758,130,864,966,
750,580,085,009,874,227,192,102,439,854,273,204,786,172,025,749,637,524,095,
652,302,191,740,433,166,563,678,480,400,154,433,092,468,738,861,229,346,573,
694,196,346,975,745,705,863,469,497,486,087,620,559,678,648,211,773,944,476,
791,989,180,657,830,509,700,612,676,615,525,589,906,616,758,415,494,294,365,
002,179,347,690,198,914,118,670,021,291,483,231,852,208,809,535,223,151,064,
034,703,508,046,433,959,364,206,699,570,449,878,244,537,455,956,663,684,401,
758,729,793,319,944,636,800,774,958,579,355,265,350,368,553,346,184,394,274,
573,179,382,682,895,974,770,538,686,537,889,106,462,814,487,288,586,359,613,
275,571,153,299,476,279,626,272,571,680,919,291,321,801,954,735,986,910,025,
459,507,908,249,872,660,503,958,294,786,157,670,659,019,819,307,512,509,857,
476,030,537,234,221,320,887,829,851,720,528,295,841,779,789,589,680,148,821,
798,618,016,005,522,802,850,159,001,621,911,517,664,243,886,109,802,137,815,
967,180,500,029,415,303,645,025,090,108,793,689,008,002,481,242,266,825,634,
398,522,614,755,239,519,269,804,531,419,950,346,006,134,460,455,666,217,885,
296,568,872,900,030,813,208,834,652,728,548,050,077,509,969,023,895,036,517,
042,412,767,105,742,872,375,422,941,410,524,853,791,638,273,919,590,933,063,
992,048,169,534,110,420,515,493,387,998,746,898,572,733,529,948,872,460,311,
297,231,683,272,663,813,977,210,913,768,941,870,743,799,360,811,356,304,452,
032,781,097,625,708,320,586,063,967,079,628,404,052,863,011,982,178,054,591,
164,243,622,415,631,789,013,926,147,136,248,450,478,255,026,851,472,666,540,
298,521,809,090,897,303,629,451,421,713,462,425,844,748,672,302,762,119,634,
759,080,556,482,986,220,982,286,952,471,311,370,182,462,833,141,327,215,720,
536,241,583,025,024,792,216,445,504,707,941,618,254,253,992,165,946,597,125,
485,037,806,945,968,090,039,782,414,907,614,531,188,092,972,221,838,826,024,
040,319,502,065,987,736,647,403,825,181,744,880,168,056,926,769,849,617,700,
648,335,485,008,734,432,981,347,316,115,556,589,473,564,058,772,819,919,170,
524,821,638,330,085,460,733,784,042,246,827,810,423,259,074,442,254,015,479,
507,082,870,046,981,541,898,795,836,608,123,770,537,783,256,145,893,961,456,
822,442,815,524,917,890,014,252,304,203,803,895,397,919,551,581,814,209,760,
909,249,994,807,083,856,527,288,939,166,737,144,564,019,572,640,737,585,977,
246,076,030,997,401,796,877,339,901,161,402,789,773,120,157,343,446,552,063,
982,829,544,226,666,962,047,533,944,155,613,907,100,058,523,351,167,825,612,
295,433,270,870,697,328,619,993,766,488,475,541,707,759,316,710,692,403,717,
533,655,007,543,240,506,442,677,821,603,403,308,439,530,337,602,700,052,934,
992,003,464,156,176,351,493,212,261,666,946,505,041,824,600,752,883,196,413,
234,499,569,200,564,567,960,905,182,217,587,158,291,864,576,059,731,675,694,
135,028,037,869,648,866,161,126,858,476,139,368,743,108,339,886,727,334,178,
930,960,516,804,513,173,152,703,521,123,128,243,167,808,863,973,080,887,811,
631,725,990,193,928,353,573,109,915,739,115,626,400,586,535,021,733,951,665,
989,175,836,287,193,089,012,675,499,056,204,503,505,949,235,293,705,756,085,
210,327,364,801,588,960,504,904,727,032,238,666,020,861,428,240,302,301,392,
513,002,313,534,261,941,224,132,150,435,246,679,684,659,745,247,112,560,075,
997,147,104,206,158,150,641,391,582,723,745,080,957,677,138,929,170,875,911,
877,696,740,390,019,048,457,497,165,557,867,603,598,611,112,593,278,184,072,
245,743,688,965,951,330,184,624,314,861,003,748,998,894,863,033,100,525,101,
292,347,384,757,436,329,494,865,585,210,167,371,484,813,036,194,402,678,669,
804,539,838,450,390,040,218,567,870,043,001,322,740,919,211,350,877,654,830,
520,475,607,584,475,550,193,669,690,338,140,698,832,023,605,092,944,788,221,
573,676,535,955,351,160,759,474,762,257,751,678,763,871,806,654,894,962,692,
897,311,236,994,045,565,846,247,293,018,021,303,827,590,100,395,648,595,487,
092,416,690,739,230,864,977,824,535,084,089,921,172,967,596,332,780,098,536,
959,289,014,614,249,692,736,987,147,921,795,528,366,199,747,584,902,446,036,
869,472,109,731,932,771,514,946,125,841,858,412,305,746,552,999,236,255,073,
192,466,061,980,684,479,201,523,737,210,222,029,089,653,640,059,518,386,443,
871,212,386,388,848,921,193,690,429,856,053,324,987,633,628,068,103,013,827,
867,437,454,890,420,883,567,474,124,009,189,799,725,087,813,883,095,315,926,
647,255,369,351,627,772,252,462,968,179,824,045,420,768,030,083,459,554,557,
977,575,489,789,302,157,993,806,033,792,887,586,083,170,444,593,082,531,842,
251,394,125,549,916,349,730,215,468,874,261,778,963,462,373,292,349,791,231,
089,832,547,619,865,874,836,054,032,389,272,076,766,349,835,107,406,870,303,
904,802,506,960,523,744,029,322,155,592,543,689,811,633,951,801,568,966,398,
244,978,986,750,745,368,093,998,584,603,865,749,644,087,620,209,219,560,154,
463,872,173,101,537,203,964,421,939,409,408,186,697,663,947,700,165,227,249,
763,663,220,977,447,174,935,854,583,961,717,062,638,319,858,736,151,330,489,
813,346,759,205,197,823,588,511,122,083,301,704,884,355,304,741,459,683,986,
454,892,242,870,748,055,548,257,202,213,072,628,309,435,199,876,510,066,216,
234,177,132,113,010,154,663,863,817,248,014,544,879,516,576,148,580,224,840,
531,490,739,531,966,912,835,035,727,742,816,040,188,985,367,530,742,245,426,
527,473,193,668,973,359,926,297,649,115,754,602,134,987,412,873,018,504,406,
585,514,433,491,164,272,683,516,367,868,976,212,434,989,728,384,278,182,553,
101,072,304,176,861,405,970,763,414,316,241,034,319,522,279,107,373,563,106,
807,136,576,599,338,153,844,534,824,652,521,378,262,124,488,498,317,575,169,
532,031,930,327,403,042,566,533,358,808,491,562,482,239,526,463,038,027,403,
516,471,322,869,042,927,855,982,353,888,471,181,185,833,169,477,735,928,466,
451,460,882,495,732,342,956,750,001,034,419,597,899,560,377,181,401,083,861,
301,981,747,651,251,913,667,392,786,326,118,142,614,827,171,639,578,595,394,
791,058,382,737,416,431,158,728,238,381,713,049,065,516,622,931,408,034,180,
060,349,604,165,256,895,564,291,510,969,855,404,790,772,363,466,062,627,094,
431,845,985,926,465,851,009,048,679,043,557,861,087,941,654,879,504,266,835,
645,492,970,905,026,990,501,261,800,669,927,946,161,919,558,532,861,797,581,
032,616,332,791,288,913,962,306,790,475,314,084,890,855,608,509,612,496,720,
355,905,927,727,831,875,541,846,748,460,516,738,232,458,062,380,487,836,389,
357,928,665,064,226,862,911,610,536,989,480,921,870,477,794,558,990,852,392,
548,169,976,836,518,417,506,120,860,356,109,934,971,874,335,795,011,835,161,
713,501,590,373,665,097,725,166,250,522,355,787,009,635,022,194,870,758,403,
099,296,363,159,219,481,737,002,059,045,408,963,708,497,033,124,731,688,398,
494,008,075,373,789,520,141,167,057,447,132,219,292,237,253,983,320,625,798,
725,264,930,876,502,123,195,731,700,093,854,516,901,263,837,187,085,917,166,
894,448,423,015,540,094,231,189,954,778,478,167,044,278,817,837,048,178,525,
278,520,789,725,011,293,551,968,392,658,240,068,493,967,340,610,570,040,829,
846,872,761,611,793,206,582,309,330,201,727,745,726,147,703,921,852,458,345,
485,210,540,211,718,813,047,166,241,934,321,704,284,335,677,064,077,719,472,
436,362,805,382,542,587,268,714,730,853,117,490,626,772,874,007,179,007,808,
536,331,949,787,860,937,595,862,836,425,674,581,642,130,401,023,138,186,361,
294,624,902,323,351,872,898,609,708,271,103,432,004,381,718,998,992,160,167,
899,653,943,269,140,216,206,380,200,183,689,789,218,851,979,430,461,491,594,
601,054,990,279,749,572,449,873,238,549,832,411,271,792,091,170,715,137,731,
693,370,846,312,549,571,914,929,965,393,108,442,893,863,550,351,801,578,794,
907,712,194,878,079,286,671,834,482,268,874,462,858,093,094,820,780,254,077,
135,041,988,708,699,908,434,598,602,110,396,970,449,273,538,229,501,729,689,
383,632,169,333,661,367,771,756,941,608,682,260,789,347,248,870,546,956,573,
383,551,817,854,176,512,864,283,840,343,804,531,509,125,507,789,450,542,675,
980,878,005,737,301,464,418,524,085,217,005,295,272,710,499,075,706,770,259,
347,941,382,614,652,613,821,384,956,934,222,414,854,638,350,702,098,759,726,
244,249,490,722,244,990,379,087,981,219,119,745,115,941,364,091,468,168,825,
122,357,939,005,237,040,509,018,752,218,552,094,964,139,393,654,477,619,701,
265,096,262,689,418,092,951,737,099,432,273,603,905,518,042,557,978,581,857,
125,525,532,490,972,495,532,480,758,102,226,108,376,993,160,963,090,143,464,
036,615,538,817,150,405,031,099,089,691,759,198,645,837,715,064,314,119,851,
425,033,100,296,770,408,153,421,675,940,540,027,001,983,358,127,686,410,490,
056,209,943,149,322,776,921,175,385,955,826,896,936,228,442,117,840,243,762,
147,046,423,744,530,314,200,881,569,906,152,363,887,922,312,465,658,441,593,
762,702,164,545,269,028,954,657,463,905,805,131,643,542,743,442,615,362,727,
840,284,122,071,421,492,551,536,845,087,053,604,856,859,088,363,662,388,660,
810,641,515,989,516,218,233,462,942,890,357,755,374,730,945,377,988,986,775,
705,695,270,357,450,407,624,059,385,367,648,951,668,277,614,640,619,424,303,
317,737,499,774,046,121,454,068,541,551,276,514,378,528,721,915,644,172,410,
816,837,731,827,888,166,716,609,332,969,096,749,212,010,697,037,320,219,340,
456,576,907,254,247,240,448,105,098,102,858,928,725,945,718,717,335,178,837,
785,777,922,964,131,357,941,561,896,399,285,273,277,458,107,785,756,054,811,
704,127,973,022,549,154,083,855,282,421,680,036,348,143,823,473,853,461,231,
482,411,763,531,329,964,303,429,044,984,926,250,229,380,691,694,156,978,346,
184,642,496,126,493,017,299,719,486,975,917,085,524,019,610,543,345,966,373,
080,159,921,037,843,374,120,275,090,891,239,926,058,402,215,533,248,206,784,
390,823,837,751,754,870,983,055,440,214,467,842,043,311,974,399,625,279,888,
464,407,769,884,762,148,469,436,232,356,746,803,264,179,126,294,786,318,601,
364,830,703,163,999,253,817,715,042,860,442,759,765,767,905,532,971,022,102,
376,655,636,081,466,592,795,288,566,961,538,973,233,535,535,892,938,664,549,
652,050,544,719,880,578,777,972,084,298,302,155,380,613,491,556,116,527,181,
644,715,202,441,990,822,044,638,478,210,287,488,629,523,149,414,482,265,046,
149,680,438,159,517,123,554,459,105,328,183,445,366,557,944,792,354,242,315,
212,890,444,394,276,637,625,753,221,188,174,340,456,330,209,776,752,273,025,
863,288,926,346,867,849,317,427,041,125,394,655,522,125,538,511,640,167,996,
552,980,629,485,071,960,023,111,325,914,734,275,602,718,818,157,589,249,158,
519,515,230,561,511,275,027,789,116,041,503,199,453,521,794,264,868,443,729,
042,446,241,462,966,990,792,829,168,251,062,559,754,432,560,363,167,488,439,
368,003,145,130,648,060,826,085,334,358,571,219,538,794,715,274,364,211,159,
491,347,482,531,872,465,142,238,362,511,707,024,320,893,547,299,339,172,485,
365,837,076,069,558,926,806,875,763,168,699,823,841,620,992,831,935,147,747,
394,935,754,882,202,788,690,472,019,688,053,957,914,928,001,972,575,492,819,
735,785,713,688,137,684,693,631,256,871,081,275,867,287,485,685,795,864,716,
463,418,540,231,806,445,201,236,386,911,010,425,463,429,727,443,746,289,722,
675,176,053,301,588,911,490,511,361,965,592,129,646,952,003,207,960,554,982,
688,784,467,350,074,731,711,279,418,341,428,328,553,080,119,557,136,689,261,
607,714,415,853,901,731,327,314,918,976,120,849,169,276,258,229,063,685,940,
554,327,290,546,315,516,520,442,122,431,550,278,034,615,565,242,452,513,431,
453,733,103,834,659,743,653,803,041,063,841,998,354,493,756,488,099,360,402,
293,597,190,573,386,816,063,617,131,595,122,883,700,112,981,472,261,834,887,
240,833,207,823,450,003,731,048,427,808,082,884,591,551,028,261,334,825,163,
993,739,004,733,416,506,464,711,989,197,412,682,043,568,999,042,953,145,529,
406,647,450,660,038,308,385,055,945,100,922,200,962,107,806,190,266,351,284,
366,763,812,604,086,879,014,935,730,722,601,821,362,892,346,446,758,781,300,
298,723,700,837,097,691,276,407,075,941,117,435,885,359,803,447,889,514,478,
765,356,041,918,526,187,628,269,788,440,948,495,869,522,528,612,829,816,735,
254,302,928,323,784,342,998,047,550,079,505,941,297,173,584,012,423,710,134,
113,864,697,180,786,343,400,354,876,271,024,795,837,379,647,847,634,189,561,
681,365,879,807,199,785,684,751,098,048,307,402,893,525,242,787,453,531,501,
022,404,166,381,051,747,899,494,424,968,868,994,210,959,740,564,693,011,278,
563,135,559,403,155,204,948,639,650,811,453,091,979,337,456,854,656,329,191,
561,975,860,703,428,982,030,223,795,165,121,325,366,764,769,899,747,740,128,
007,550,449,746,374,609,261,361,331,925,178,213,106,129,727,127,389,359,922,
140,587,703,022,366,322,470,901,196,359,639,291,394,406,882,299,681,415,837,
922,039,476,049,868,902,840,246,170,842,753,521,167,727,807,678,916,112,349,
064,442,584,344,142,120,635,868,546,088,518,539,990,696,405,273,316,740,458,
990,948,144,333,779,320,314,699,303,862,115,935,289,968,463,834,249,765,056,
099,620,226,505,931,805,994,788,203,903,885,351,184,836,752,618,796,990,190,
053,627,354,878,933,166,594,733,099,932,690,265,178,753,356,977,278,858,659,
753,429,417,303,262,743,899,113,896,773,496,056,879,964,232,508,340,241,099,
650,526,994,733,763,210,932,135,505,648,440,329,973,219,289,374,727,528,035,
241,838,761,956,118,683,350,073,795,519,876,338,979,462,635,489,672,066,254,
941,901,600,747,549,668,514,829,560,330,821,153,607,954,742,786,200,397,037,
872,923,282,532,981,629,852,913,155,206,138,170,206,184,592,449,172,808,152,
332,741,132,616,427,189,089,076,141,970,058,989,713,361,229,406,068,570,157,
507,197,477,186,104,145,495,157,637,751,064,840,765,224,298,912,429,345,587,
482,699,384,717,526,148,157,883,453,652,220,023,448,330,951,006,313,169,649,
179,709,727,969,133,702,717,389,681,272,307,947,929,569,392,767,672,804,667,
915,526,377,332,519,189,211,291,878,011,170,756,787,691,646,946,950,318,448,
500,539,109,588,520,637,654,550,732,253,101,420,368,201,920,424,668,928,024,
882,607,537,842,544,168,966,029,226,504,721,266,987,229,496,891,477,570,853,
652,582,910,096,845,456,589,690,833,802,085,054,973,012,084,218,621,758,951,
941,758,731,918,520,848,704,436,072,008,366,534,695,800,325,787,404,597,806,
452,276,063,730,107,623,086,072,619,449,682,067,534,622,932,910,885,824,048,
747,965,887,910,338,920,954,389,553,450,198,593,105,082,894,731,649,401,204,
067,206,863,059,265,256,439,124,662,929,668,919,008,450,385,568,673,692,763,
541,028,246,005,810,187,044,896,105,005,686,327,797,951,772,537,072,539,878,
511,062,036,576,799,954,333,311,034,376,806,889,654,273,159,708,447,521,855,
491,761,679,148,336,128,360,714,813,070,549,996,131,541,890,435,186,149,174,
126,318,304,700,172,374,067,240,637,522,916,098,198,395,489,219,154,678,275,
745,263,563,063,457,407,060,273,628,915,148,987,245,033,796,927,821,874,129,
495,942,646,732,127,860,358,650,697,577,070,130,787,013,708,050,058,490,764,
431,123,481,046,126,678,757,637,056,281,568,977,255,582,620,555,589,515,347,
786,764,530,820,303,763,992,622,137,958,009,832,642,771,426,621,537,124,345,
657,309,710,712,670,607,425,622,027,065,148,674,838,174,578,505,995,904,619,
544,615,005,054,534,285,995,254,021,725,373,243,102,542,945,914,966,649,476,
059,416,425,208,742,195,430,060,850,091,724,217,558,263,267,091,857,527,278,
787,868,040,564,264,191,270,861,838,177,543,507,572,645,664,611,894,979,328,
775,749,252,939,605,870,258,285,579,684,755,110,739,051,195,999,058,412,927,
148,433,216,652,016,579,081,475,304,776,120,048,371,055,886,276,544,072,918,
831,436,639,219,223,514,758,070,246,523,124,562,331,848,423,254,200,705,431,
776,184,886,334,653,320,429,535,329,940,628,919,432,865,134,678,971,030,876,
097,256,352,359,152,500,492,457,488,443,144,993,462,575,645,203,915,938,702,
529,316,907,358,148,463,862,421,415,195,277,568,462,658,379,623,920,893,690,
753,471,107,111,118,740,249,551,985,117,117,849,306,673,723,180,149,534,900,
578,373,203,361,327,100,996,357,523,684,035,149,590,886,192,707,586,047,108,
473,337,637,054,340,299,555,355,509,754,769,887,103,818,574,726,591,130,240,
083,004,252,152,280,213,861,632,906,708,519,155,355,917,125,507,833,777,280,
962,631,847,134,416,631,367,361,445,615,446,437,374,846,790,752,201,521,982,
186,159,178,249,040,198,559,902,847,378,670,107,563,979,388,438,635,314,993,
577,347,495,067,986,735,347,051,372,218,112,107,142,907,189,792,455,898,382,
446,111,850,988,340,672,006,095,298,706,378,955,519,806,365,555,625,013,422,
405,469,788,485,216,381,209,862,846,888,769,220,503,388,080,450,464,934,619,
948,614,669,722,057,147,693,033,957,447,691,855,677,085,839,710,259,828,583,
814,232,424,881,785,733,453,645,696,506,334,241,286,785,976,848,936,244,453,
838,636,077,509,477,326,057,325,041,557,862,325,538,843,386,837,182,960,614,
604,782,542,371,469,930,835,174,786,749,584,756,565,529,454,742,882,150,679,
871,655,219,831,066,194,252,602,838,003,480,395,602,284,996,183,807,960,327,
159,364,083,778,587,630,113,958,552,244,236,652,719,173,794,654,982,150,506,
674,382,408,307,350,077,385,349,599,807,636,339,932,791,250,713,140,201,632,
016,870,981,740,125,757,609,519,355,207,724,595,168,025,915,542,208,915,191,
660,346,919,224,528,185,280,374,892,937,716,019,016,688,329,038,557,785,550,
348,173,950,667,665,292,588,106,035,542,257,600,332,791,358,474,621,244,901,
454,260,142,196,052,219,948,119,193,001,401,114,743,555,739,194,516,597,026,
580,489,767,693,530,980,799,444,416,694,657,487,579,862,073,522,987,040,820,
522,416,380,649,386,843,545,113,690,576,533,318,198,814,478,557,968,934,835,
946,120,389,459,903,306,641,663,872,702,623,044,008,643,496,813,129,450,173,
366,969,320,812,996,192,145,730,202,089,343,335,583,964,964,344,187,119,338,
528,513,980,960,932,390,898,084,098,204,547,439,086,131,419,439,462,973,135,
697,955,754,673,136,760,988,169,797,141,261,231,486,468,792,982,371,846,573,
278,504,101,693,046,487,353,625,079,569,596,196,462,217,327,157,834,280,727,
402,639,347,114,787,564,525,315,131,907,140,017,859,847,299,962,175,343,467,
817,147,412,228,951,111,210,083,569,173,297,367,032,818,420,003,162,958,997,
693,777,822,449,145,651,405,716,258,230,393,675,440,894,713,808,770,778,613,
729,022,519,045,836,916,888,614,650,806,073,986,044,584,769,107,532,561,393,
771,236,568,953,888,858,352,478,933,561,974,957,724,315,586,565,452,974,714,
364,231,567,869,062,445,107,758,042,220,818,757,039,814,021,001,801,240,526,
560,372,804,727,447,151,241,220,932,218,766,319,803,418,941,561,247,655,516,
489,858,597,715,791,680,554,944,788,374,869,203,207,930,113,446,882,035,583,
269,661,058,319,716,235,064,979,063,922,244,620,943,589,245,838,170,693,250,
854,446,169,591,105,663,560,914,874,148,982,361,449,690,537,814,931,580,596,
166,148,757,056,915,385,947,429,068,822,496,570,385,493,168,496,316,450,398,
726,327,306,059,451,082,127,639,116,798,195,259,092,466,072,653,270,505,816,
431,649,798,343,576,230,043,337,954,797,461,588,987,639,030,213,964,967,797,
005,199,791,358,183,117,302,404,607,794,039,502,938,512,348,234,588,343,149,
753,952,681,200,262,562,735,174,082,485,974,574,166,973,622,505,782,978,999,
066,478,471,771,657,694,546,805,042,647,756,939,788,636,646,947,548,675,374,
678,434,429,366,485,234,307,802,390,941,991,449,148,943,645,743,800,806,377,
583,095,718,392,637,998,577,343,617,064,904,400,127,652,406,712,438,497,128,
711,905,190,124,719,914,079,391,083,355,533,911,117,080,489,604,865,644,269,
541,107,771,678,389,486,116,768,223,704,227,077,782,059,995,929,705,707,111,
778,607,465,224,238,497,840,124,059,768,045,400,703,063,917,062,076,975,730,
497,699,851,554,570,449,594,762,847,593,158,583,527,687,777,162,878,933,262,
894,133,692,991,340,007,810,799,532,147,707,391,938,457,233,791,489,947,937,
069,117,615,079,495,268,658,583,390,522,825,442,526,889,665,333,837,613,069,
572,912,476,797,739,404,815,216,311,962,506,346,305,789,170,583,342,835,842,
654,922,767,530,722,079,799,841,754,651,370,812,661,791,477,692,909,813,937,
874,784,349,550,171,131,020,209,286,674,513,806,730,835,789,967,073,027,153,
371,717,345,159,688,208,030,501,609,227,285,405,464,258,587,759,791,881,994,
595,622,204,820,612,340,048,531,317,756,646,802,833,871,099,155,851,777,488,
173,407,505,113,656,391,417,533,904,023,742,588,570,399,651,988,309,169,420,
272,370,619,922,421,250,038,585,352,354,256,847,607,787,755,324,249,837,077,
011,958,111,130,490,144,617,939,190,736,089,136,658,462,719,245,671,989,652,
108,672,005,945,508,645,493,912,907,334,125,878,148,244,599,317,753,525,797,
563,775,540,315,036,611,459,923,801,396,751,603,380,677,129,811,718,051,678,
040,022,927,119,625,251,940,674,837,227,298,936,511,597,659,774,703,829,877,
207,371,301,439,462,191,797,456,396,134,972,602,171,013,057,756,467,880,536,
251,588,030,027,676,789,494,418,321,758,102,665,500,237,308,941,109,889,805,
246,793,263,607,772,767,096,486,023,586,360,663,544,244,795,467,299,737,353,
662,628,010,657,970,961,599,119,955,498,300,187,343,726,323,051,281,819,062,
558,901,247,204,933,462,325,507,748,921,431,373,110,708,578,988,948,042,670,
441,884,855,075,980,844,677,912,533,588,503,510,098,434,220,534,315,405,915,
480,952,048,380,035,704,219,254,819,976,581,708,878,121,855,095,397,257,270,
579,387,467,974,567,767,536,649,741,835,139,118,496,034,624,850,821,999,157,
478,211,042,480,005,242,925,679,781,561,673,441,798,427,338,111,786,483,411,
473,256,647,496,365,848,260,991,489,319,784,948,477,662,945,638,633,553,350,
204,674,951,629,918,434,010,015,712,073,034,293,328,758,253,383,874,782,448,
536,479,401,431,352,491,422,111,640,613,575,375,644,771,703,582,374,640,435,
205,301,711,857,145,057,975,817,364,070,223,648,869,605,842,435,132,530,887,
400,506,045,470,480,057,773,382,711,192,798,159,237,243,903,810,645,657,502,
538,232,926,289,650,665,583,761,433,372,466,354,089,929,708,837,874,603,482,
384,806,347,671,734,010,667,273,805,996,211,398,301,934,989,388,671,117,755,
115,002,219,572,865,591,179,445,324,488,285,844,101,089,958,371,225,780,607,
158,260,093,528,415,050,907,576,796,493,220,673,764,974,647,303,961,573,809,
389,415,776,586,582,540,293,742,689,422,861,935,305,415,457,288,792,202,353,
427,832,017,104,583,909,388,650,294,893,994,650,532,398,291,552,634,373,221,
005,892,842,857,691,047,581,012,040,608,544,926,563,341,853,066,374,917,793,
020,252,944,804,263,495,828,840,401,369,699,385,228,543,471,541,939,886,710,
334,571,255,847,298,791,245,939,541,693,533,160,099,118,833,966,931,165,629,
317,435,676,237,732,306,178,967,763,393,458,155,027,721,372,837,943,346,233,
620,229,126,975,192,029,299,358,923,958,172,810,056,062,546,142,507,533,547,
915,745,556,746,482,012,113,218,875,394,751,640,029,434,512,339,378,397,347,
121,289,229,034,872,528,550,165,576,445,976,674,068,101,277,958,453,608,781,
389,015,865,184,158,929,744,766,874,178,642,169,052,934,404,946,235,606,723,
202,931,317,528,382,210,066,087,018,517,190,433,064,896,632,000,631,702,932,
214,189,102,365,959,235,456,115,767,131,465,335,388,035,908,082,717,825,737,
467,021,316,292,872,224,137,570,235,724,974,642,546,132,797,818,727,196,608,
282,487,496,287,232,758,986,838,411,851,839,795,340,645,125,660,137,742,707,
460,283,832,899,710,774,489,479,871,998,635,807,489,959,837,109,554,616,069,
259,140,560,321,225,429,316,584,981,597,737,880,828,335,265,049,660,759,433,
291,267,742,208,650,686,745,850,768,166,315,400,815,215,183,693,319,245,533,
217,933,644,767,834,772,918,137,095,469,413,600,318,553,376,663,850,620,511,
433,431,123,156,457,447,658,121,067,371,152,069,381,264,754,017,642,488,927,
846,303,868,236,710,685,648,627,900,453,405,601,498,363,908,913,079,067,726,
369,010,553,824,054,665,800,357,156,776,786,172,767,930,709,915,805,227,158,
109,713,810,394,356,109,211,607,476,746,033,749,656,309,058,688,090,366,643,
513,784,273,437,187,814,934,317,505,198,525,306,486,253,146,566,039,977,329,
216,174,600,489,801,628,831,886,278,840,966,567,727,098,058,763,106,374,564,
880,492,373,546,241,846,426,602,466,639,055,111,995,719,618,894,270,322,395,
383,878,431,407,918,857,924,643,404,814,416,405,610,400,459,457,701,574,790,
010,354,160,078,213,472,343,867,979,172,736,805,368,504,110,776,949,713,881,
917,006,014,045,869,768,420,559,734,008,611,229,406,482,210,745,539,112,631,
103,906,992,608,733,330,326,359,905,236,102,116,724,718,812,686,217,312,517,
269,556,039,425,830,681,035,071,055,850,157,511,482,279,119,948,944,308,436,
887,615,429,894,481,417,506,501,974,422,668,176,090,602,226,419,653,048,297,
545,399,335,264,299,637,301,335,940,059,325,763,647,191,220,825,900,826,643,
453,467,664,963,517,377,946,190,493,510,515,542,548,152,535,890,892,228,078,
693,008,446,046,139,854,913,082,505,042,894,120,954,781,585,093,269,650,253,
901,219,811,064,686,314,374,954,371,766,014,688,611,667,703,161,942,392,335,
901,026,669,182,557,325,636,491,542,367,705,886,450,802,367,645,080,485,605,
313,536,720,250,194,892,574,350,384,379,180,560,964,522,762,766,312,447,713,
057,111,999,916,729,641,235,053,578,744,479,642,820,116,264,068,914,894,524,
789,149,161,137,784,375,162,749,023,058,082,006,826,775,634,333,059,301,856,
729,711,064,410,899,878,690,456,073,744,571,611,454,952,858,047,484,448,395,
019,133,161,842,974,721,694,873,096,023,464,778,589,928,421,520,576,354,216,
120,023,285,867,294,270,070,650,062,532,302,546,543,600,556,175,604,723,161,
687,924,940,763,794,467,124,035,716,947,966,443,516,691,630,412,736,634,396,
039,051,730,025,445,010,439,835,821,529,091,723,951,890,327,031,399,791,966,
712,854,454,226,534,350,346,796,786,936,793,341,939,012,514,290,489,888,299,
766,170,053,799,415,761,832,583,509,523,472,595,055,593,309,445,600,235,929,
321,469,710,612,371,835,136,745,905,889,742,592,069,030,817,033,792,970,116,
449,018,177,305,700,438,447,798,610,045,552,967,227,315,570,439,886,830,887,
601,460,533,020,508,181,248,184,173,375,037,442,425,342,833,466,419,446,337,
493,338,005,261,830,797,357,388,269,218,666,334,340,348,994,793,426,203,089,
069,385,723,944,239,101,334,745,468,857,845,963,062,076,009,951,950,521,574,
811,674,395,187,296,280,973,062,587,632,090,039,464,340,349,054,416,620,390,
036,963,382,673,859,713,536,402,675,692,000,326,248,311,384,380,031,146,941,
295,207,693,919,669,495,636,459,962,015,109,665,813,558,086,928,917,931,485,
746,335,856,637,736,959,614,757,829,812,384,856,578,404,124,794,909,727,094,
913,675,610,404,671,855,488,460,215,687,630,317,397,164,384,499,686,049,008,
090,235,214,935,540,502,484,611,140,203,758,618,914,307,557,959,281,089,525,
769,223,655,902,099,755,913,766,890,730,777,321,459,482,487,588,932,418,674,
160,391,599,867,059,594,218,424,970,584,710,971,704,693,721,033,582,242,673,
006,523,628,083,120,844,853,812,623,010,003,520,002,979,814,828,457,558,166,
189,228,235,067,428,660,691,661,611,263,246,007,309,700,509,587,522,114,772,
098,620,073,155,926,993,035,528,997,318,646,891,369,907,595,903,724,503,472,
850,994,696,114,702,377,602,808,537,582,141,430,790,867,761,490,329,378,508,
463,529,301,152,905,405,755,390,520,699,189,776,508,892,531,694,879,748,916,
332,005,701,505,143,700,118,009,938,250,483,208,485,236,588,064,941,749,226,
229,059,580,653,373,028,416,798,202,899,017,566,507,686,808,490,503,154,479,
386,437,245,582,018,560,390,038,461,961,220,358,360,504,363,035,775,045,771,
550,467,206,822,115,540,694,767,838,156,564,653,486,965,004,907,671,465,875,
980,756,365,766,796,458,265,639,682,506,806,205,100,745,747,791,406,319,211,
418,143,510,814,585,038,870,108,694,724,572,512,621,446,613,544,633,515,196,
046,120,963,320,596,997,536,834,601,684,759,908,066,918,233,664,521,634,148,
586,274,341,770,505,476,663,279,258,013,185,593,525,811,647,943,417,173,129,
959,098,064,323,270,475,269,264,386,640,657,662,864,750,942,859,242,998,139,
683,066,014,169,768,315,289,109,396,756,624,313,372,576,809,097,039,108,912,
876,382,624,030,664,626,432,378,784,722,594,357,728,222,283,098,547,255,016,
169,241,908,059,706,537,804,996,650,338,201,653,158,167,513,035,137,785,719,
882,448,908,338,082,785,983,010,563,313,081,441,488,816,969,208,135,013,179,
537,027,298,944,472,518,395,328,938,755,579,689,266,570,434,995,182,595,517,
586,283,528,291,144,669,746,319,740,331,790,362,315,237,226,579,693,719,177,
792,087,878,161,541,023,439,746,451,717,501,826,218,577,882,247,321,014,836,
611,594,425,377,228,941,952,887,835,898,281,042,411,175,449,642,720,036,177,
531,755,824,285,899,570,138,800,932,829,460,682,661,966,464,710,893,750,245,
807,604,059,399,523,710,333,208,263,464,435,741,554,059,315,892,485,153,302,
282,007,442,712,891,229,267,788,447,133,763,121,093,756,009,986,558,733,939,
799,223,857,244,433,336,677,897,064,934,645,253,876,913,059,534,838,165,512,
251,319,474,428,415,068,508,573,847,991,941,075,863,613,568,998,139,492,379,
822,859,729,427,375,618,577,639,375,959,661,929,938,802,391,413,442,043,161,
286,046,632,267,699,935,427,254,663,850,324,714,619,220,756,161,833,689,774,
287,361,870,123,842,015,879,218,269,204,120,960,004,362,923,098,458,939,900,
550,162,681,536,539,230,924,273,693,476,356,222,704,840,307,076,206,962,942,
150,611,448,923,105,858,554,631,068,841,088,663,261,101,971,860,198,471,044,
472,851,532,463,426,890,576,274,997,974,996,134,826,253,826,796,429,368,927,
523,838,225,250,903,774,897,008,094,955,061,606,975,235,936,249,125,994,962,
157,611,394,901,307,471,142,913,006,918,944,391,087,890,256,503,273,040,799,
253,942,729,879,336,812,873,612,925,939,881,006,088,535,043,651,460,481,853,
405,367,500,976,530,775,421,176,057,099,407,386,352,659,718,153,649,412,956,
454,101,792,169,239,234,295,641,147,865,080,523,205,861,536,914,026,002,853,
728,601,900,113,074,427,654,854,466,484,659,665,304,257,873,469,356,165,467,
876,020,717,068,167,348,806,565,590,046,201,528,499,734,692,027,249,452,092,
339,697,285,913,002,764,695,142,635,539,989,151,016,277,265,278,674,917,161,
349,719,847,166,022,363,203,866,486,532,881,028,180,296,052,835,545,178,388,
195,178,708,631,111,222,579,548,664,052,174,324,283,927,413,930,766,532,240,
728,740,355,176,192,843,216,441,895,488,537,912,179,275,111,238,622,387,344,
443,059,786,017,313,586,336,827,611,787,797,014,427,287,351,321,831,369,345,
366,383,607,186,015,583,604,784,886,176,806,500,420,484,013,453,009,616,915,
641,144,225,067,845,115,871,996,043,208,659,298,141,586,906,809,573,965,727,
765,398,555,955,196,465,184,420,587,503,037,941,223,345,506,406,960,741,818,
114,475,690,835,256,101,866,242,083,157,145,140,032,563,325,662,981,318,819,
281,576,679,675,778,853,027,824,547,857,535,509,454,757,625,349,229,512,507,
325,096,792,597,019,504,429,785,282,172,802,038,680,847,537,622,634,203,795,
883,497,975,685,173,295,821,227,613,283,239,488,753,432,502,701,296,638,149,
261,186,107,579,213,160,557,731,319,073,092,100,060,375,454,771,600,825,728,
778,211,770,580,577,597,393,298,627,443,394,618,101,495,453,030,668,265,780,
226,815,799,113,740,431,035,266,579,570,253,175,884,703,901,889,172,963,612,
179,353,403,488,147,134,017,522,981,096,374,767,643,882,083,422,759,331,983,
413,281,462,128,297,436,498,900,888,530,608,873,497,626,489,354,020,254,369,
724,637,447,096,016,747,847,784,426,588,249,989,002,697,273,775,771,179,404,
654,896,965,022,423,760,644,597,391,723,626,699,310,065,401,686,001,015,392,
311,080,219,274,867,086,646,137,204,102,222,973,721,959,089,474,069,617,074,
804,191,119,277,325,475,846,024,596,688,282,597,598,768,517,015,754,880,954,
958,946,958,507,059,879,492,420,539,496,577,895,321,923,014,696,328,447,501,
018,858,470,639,672,631,659,627,274,694,462,946,852,375,184,044,528,085,875,
497,478,358,425,307,992,920,071,456,096,148,695,273,050,386,028,418,121,607,
582,500,513,374,266,818,150,733,365,590,965,126,959,008,017,361,167,087,707,
764,130,910,584,719,853,694,540,981,822,319,164,986,705,294,103,962,358,295,
921,319,518,619,409,199,276,592,060,926,872,089,337,035,634,486,340,371,530,
685,881,416,309,556,759,747,869,349,510,862,469,325,785,085,328,606,241,805,
633,497,919,837,858,308,745,372,196,986,829,689,384,654,166,171,154,115,460,
492,789,218,234,051,108,496,168,348,767,738,425,616,732,927,159,542,483,875,
832,303,849,243,294,232,353,083,645,415,891,461,383,604,748,549,024,041,053,
248,932,183,355,276,675,353,036,556,432,556,512,136,855,656,962,155,544,833,
077,151,304,440,348,981,093,955,932,414,699,506,439,593,522,192,253,432,940,
426,493,287,582,604,121,328,392,054,236,205,218,275,638,223,320,051,343,835,
919,267,525,278,769,010,200,780,136,323,001,625,602,208,512,155,848,199,345,
064,333,155,984,114,266,595,333,755,560,923,700,759,328,051,736,721,690,422,
627,039,549,411,597,174,228,782,950,624,287,206,390,030,527,955,212,711,892,
201,906,306,503,372,536,694,685,769,088,672,009,189,418,912,047,532,903,402,
383,179,993,494,186,377,932,347,083,096,681,322,245,417,809,620,004,013,142,
569,801,955,593,729,281,933,357,470,039,384,407,228,227,485,435,106,776,123,
414,675,759,593,133,228,268,382,956,503,133,131,973,079,474,249,350,596,124,
925,762,464,934,468,811,056,977,793,202,511,222,670,812,036,798,458,775,664,
950,361,764,661,873,318,692,199,574,484,458,555,984,813,146,702,118,431,548,
707,215,345,563,703,571,954,288,703,914,389,627,224,051,016,450,392,068,253,
929,107,254,076,257,169,516,595,854,369,752,958,801,139,902,612,587,976,375,
480,524,161,938,190,608,191,409,469,596,576,402,446,397,544,630,629,839,315,
889,430,693,289,987,595,233,896,378,027,769,939,703,450,620,505,504,076,058,
346,179,278,387,267,461,838,490,520,641,673,275,771,732,382,101,182,117,969,
398,085,467,198,137,155,036,718,837,649,722,074,739,371,968,981,029,642,484,
065,789,932,894,687,852,666,134,160,669,178,868,807,162,762,828,423,576,855,
710,016,887,765,697,753,774,276,444,607,714,446,443,533,612,815,491,790,963,
478,093,429,757,346,979,814,986,514,187,789,358,037,439,383,017,259,042,559,
883,085,195,418,044,646,560,834,084,072,285,257,017,837,934,002,301,263,566,
733,943,845,252,505,961,655,105,543,158,840,622,373,165,626,126,332,239,648,
660,515,087,748,825,884,254,409,703,935,625,384,593,112,735,453,714,909,741,
533,950,380,247,108,653,058,553,133,839,392,219,009,796,909,750,966,645,951,
508,074,611,789,762,257,786,331,502,891,190,234,172,612,886,364,498,506,772,
300,154,894,871,854,270,651,225,898,716,796,892,766,193,746,410,330,194,918,
670,145,763,640,757,526,115,777,115,907,537,407,227,865,554,268,281,223,199,
713,731,097,876,022,665,404,339,415,428,613,859,011,456,878,111,965,461,372,
766,043,143,986,243,905,444,533,902,070,199,947,930,754,563,618,917,974,965,
230,306,263,311,505,501,977,101,572,097,731,992,064,862,674,907,522,171,379,
093,823,621,192,440,580,477,577,615,016,513,327,525,867,899,979,726,331,413,
396,584,275,267,615,425,170,268,253,761,867,563,167,740,972,067,511,170,578,
549,886,299,088,658,160,856,300,008,545,102,245,067,350,306,867,802,998,577,
526,278,744,874,312,508,350,457,463,557,959,678,624,692,223,878,248,889,986,
841,311,406,667,420,471,676,812,484,029,392,408,001,666,534,533,709,863,055,
775,701,161,762,043,447,827,436,912,796,810,203,578,583,778,864,725,683,178,
165,379,473,991,090,756,400,328,966,551,507,067,516,640,631,242,001,705,086,
831,066,236,066,812,403,051,508,618,715,042,530,059,017,787,610,631,186,766,
953,615,079,404,258,008,908,496,320,188,357,123,062,787,793,300,864,969,893,
923,718,378,557,208,575,308,929,453,415,178,232,161,802,849,433,500,570,916,
816,875,931,321,250,360,701,175,324,706,080,440,012,643,027,226,210,525,633,
275,968,179,346,694,617,827,080,333,075,919,974,957,507,584,628,377,165,208,
402,925,300,785,804,854,147,580,468,233,472,665,678,362,923,780,342,054,009,
799,161,865,604,300,515,515,339,270,506,137,903,283,467,181,317,913,521,815,
648,226,155,817,399,187,571,198,563,700,887,692,646,072,680,448,086,309,230,
507,917,225,353,780,695,107,632,259,098,762,924,315,433,873,746,125,333,352,
479,323,199,629,772,558,105,340,487,180,551,048,608,540,941,800,053,527,336,
610,489,948,825,581,665,609,199,701,751,148,579,834,504,914,581,248,535,953,
066,020,262,935,699,181,542,705,991,902,120,145,562,147,034,755,447,712,438,
419,920,147,327,709,717,677,891,023,596,191,064,487,895,641,188,095,252,423,
724,281,289,808,263,088,996,509,059,708,310,368,011,545,404,069,223,023,466,
731,718,220,230,316,158,947,717,438,553,428,712,646,432,315,933,476,991,687,
254,584,775,990,708,827,318,183,759,265,042,385,057,522,383,634,513,971,875,
262,160,460,400,645,225,037,240,757,402,650,073,896,006,337,971,119,236,720,
875,743,590,870,458,267,722,696,615,427,085,823,032,634,489,058,310,785,226,
502,497,494,924,161,719,479,768,249,714,945,461,519,888,420,978,564,154,886,
588,064,633,675,081,194,334,602,446,521,721,401,939,745,886,913,047,450,609,
346,309,320,866,231,055,271,404,174,342,870,299,621,323,703,725,965,865,890,
669,477,772,509,743,614,822,321,684,309,099,659,738,470,387,041,911,552,199,
575,934,718,117,570,281,407,599,847,860,445,446,797,998,351,995,424,936,148,
887,541,315,655,108,399,357,878,888,705,937,566,184,498,504,043,278,256,275,
198,255,399,763,166,864,100,107,284,090,974,839,691,596,776,720,660,599,575,
293,170,014,760,725,777,560,276,075,038,979,337,618,156,766,440,404,194,400,
357,057,591,367,136,660,271,343,438,876,953,193,498,072,045,911,045,377,835,
404,601,338,022,729,011,299,262,033,359,616,545,497,779,966,750,079,202,351,
804,795,474,235,121,250,628,718,420,358,561,351,211,917,875,143,461,270,168,
869,550,799,954,622,718,813,886,185,682,753,027,025,332,596,242,815,855,722,
573,851,384,286,097,354,413,027,741,237,982,385,926,655,464,969,143,569,008,
211,445,540,790,696,028,947,269,435,015,841,147,794,159,658,076,729,449,584,
500,914,738,722,319,757,073,572,760,578,928,269,729,732,870,780,789,930,154,
541,335,370,698,146,600,868,302,224,046,641,891,774,404,930,232,011,448,835,
406,972,244,853,370,949,325,515,530,492,505,864,088,174,965,465,070,489,166,
590,237,614,703,700,108,161,536,850,244,576,609,162,905,465,068,054,870,363,
471,036,894,879,132,899,696,477,730,004,645,696,108,276,870,869,986,137,767,
744,034,347,644,433,989,478,101,522,556,436,790,074,744,311,882,567,539,259,
621,636,278,107,547,058,080,607,131,932,233,959,599,667,467,463,344,291,686,
812,369,233,568,686,971,104,421,591,460,775,880,821,353,006,374,221,000,202,
709,812,809,854,668,143,544,502,941,234,380,264,748,246,590,890,318,473,114,
088,580,782,574,977,801,581,034,078,891,083,005,397,937,215,888,287,041,267,
024,678,347,245,309,583,344,974,263,815,026,075,906,380,163,349,125,193,409,
382,901,153,551,556,710,722,483,289,577,510,515,754,228,162,861,953,627,832,
507,502,694,484,791,905,472,438,171,249,608,117,246,307,506,838,005,078,750,
818,363,527,928,278,420,533,741,756,966,357,764,312,352,183,882,821,417,031,
843,681,269,340,229,010,742,942,750,916,394,416,192,237,088,303,261,968,466,
560,966,491,051,490,762,042,532,510,968,108,421,316,204,711,441,263,853,194,
076,439,576,335,941,045,588,114,707,012,007,783,632,229,208,327,686,321,974,
224,145,811,859,642,818,449,032,841,092,331,936,587,569,535,996,015,240,946,
106,981,428,275,847,163,302,949,388,888,547,208,066,338,295,078,261,886,028,
873,873,969,056,781,687,243,027,352,387,987,006,488,830,488,466,315,175,111,
254,444,205,884,414,337,351,717,089,920,322,678,760,231,054,588,883,489,887,
324,236,708,308,812,846,018,597,729,313,229,417,209,501,608,652,375,039,706,
123,092,851,321,784,257,298,212,128,864,269,922,595,539,485,814,765,628,239,
563,522,274,402,366,838,693,587,591,621,751,617,627,785,864,105,497,059,259,
164,281,069,785,192,963,677,615,835,023,008,963,381,992,199,416,047,120,143,
816,819,627,229,710,722,672,155,497,108,062,324,803,677,404,890,839,168,926,
352,093,536,310,864,223,939,082,676,465,670,350,519,030,001,214,216,582,821,
026,088,412,901,730,907,256,820,193,729,187,661,740,111,153,821,947,812,060,
550,419,337,084,336,917,369,092,556,405,978,284,640,614,872,917,681,151,123,
235,370,856,238,137,809,099,431,098,132,049,968,265,088,706,501,010,264,253,
712,971,771,907,609,472,230,959,301,718,045,261,790,166,969,164,602,384,400,
079,176,833,900,423,375,872,288,072,175,928,156,590,346,631,320,117,865,139,
607,203,321,987,792,211,208,854,900,975,965,911,929,447,071,158,107,528,196,
600,575,025,935,475,739,341,833,340,560,315,409,584,651,516,153,657,425,562,
225,830,066,859,665,249,833,241,640,229,480,862,917,293,216,920,195,157,476,
167,503,477,926,269,306,947,655,178,827,573,472,686,967,284,272,342,518,939,
238,387,157,284,443,603,669,382,111,038,598,579,998,956,260,826,556,751,117,
901,081,580,579,662,890,810,635,539,936,159,247,409,368,411,263,368,365,899,
836,383,929,431,978,272,719,493,148,705,685,997,358,275,374,928,828,190,871,
191,562,366,264,161,063,871,190,085,501,253,167,482,510,730,529,157,706,912,
458,972,293,513,852,792,400,538,039,566,136,360,297,615,270,048,689,113,699,
997,445,416,887,285,047,572,571,578,559,981,375,905,712,958,538,539,028,349,
942,325,801,323,999,453,107,604,133,244,551,505,173,366,711,909,696,900,694,
654,864,974,069,745,742,186,510,554,033,363,939,972,888,772,216,012,232,795,
263,693,917,531,920,408,342,756,329,787,804,629,478,972,560,531,252,440,379,
466,321,363,523,240,085,128,543,338,097,688,713,622,445,363,198,212,785,925,
230,196,784,907,664,779,355,354,027,988,536,465,213,807,132,955,398,451,836,
167,237,639,707,109,859,678,828,073,667,177,474,120,351,085,146,513,877,872,
406,518,019,694,431,639,239,875,552,608,540,610,365,657,468,912,783,315,687,
388,383,775,685,730,607,781,599,409,578,732,443,185,167,056,765,217,770,833,
700,984,282,832,144,071,031,937,293,521,890,882,076,102,694,591,529,641,830,
644,846,990,037,666,402,006,676,918,382,757,615,574,843,845,619,735,498,144,
161,867,756,665,691,962,607,947,332,900,201,809,494,312,406,329,165,608,200,
485,369,130,977,445,197,703,009,065,010,660,040,818,043,685,923,486,836,721,
785,154,781,330,747,102,839,458,511,241,374,890,715,430,095,723,199,491,767,
126,223,450,631,318,724,924,306,326,031,474,653,899,412,333,625,121,807,934,
822,753,507,297,060,264,777,706,882,017,956,270,579,119,147,673,593,450,019,
182,974,639,645,966,213,140,160,975,008,223,511,102,786,168,088,967,690,762,
958,060,347,649,024,086,531,916,808,941,332,658,024,520,034,940,913,196,583,
290,755,732,356,644,803,485,768,006,077,279,031,651,300,024,216,331,656,513,
392,308,054,592,153,526,781,927,169,840,142,715,548,117,831,923,737,260,386,
590,263,873,336,531,845,268,381,122,022,169,668,046,356,995,898,976,795,549,
734,525,062,747,354,692,229,174,650,304,496,637,492,233,754,009,759,935,940,
116,515,505,955,409,578,904,815,391,750,417,958,001,194,362,561,161,980,691,
999,537,519,394,618,841,766,312,429,757,739,652,172,482,138,908,907,206,282,
232,417,217,366,379,107,296,192,677,549,525,432,619,837,601,660,302,278,029,
823,567,233,968,992,307,726,088,444,605,925,177,629,409,020,888,190,058,698,
882,334,799,454,678,376,217,668,512,282,049,888,740,282,737,217,263,339,656,
448,831,676,709,572,437,090,429,344,472,689,214,280,200,872,654,048,137,977,
886,586,642,699,908,211,078,580,683,024,523,660,161,420,337,645,857,237,399,
023,642,126,914,799,143,476,332,858,150,061,057,474,221,551,690,146,334,404,
207,386,122,396,885,696,310,380,355,527,249,806,193,771,805,625,933,920,368,
278,198,803,868,394,284,288,835,681,299,647,727,331,288,759,053,007,088,917,
424,154,435,808,681,091,204,626,007,399,226,797,439,210,696,919,978,562,351,
480,534,134,246,941,309,094,206,752,466,485,272,962,691,772,199,437,236,770,
968,958,587,855,790,195,974,190,839,717,041,131,497,591,125,583,427,542,100,
451,389,992,896,737,981,043,192,145,938,889,954,221,839,706,474,521,372,362,
119,787,032,186,375,781,111,535,423,312,556,402,460,411,980,060,886,783,295,
742,357,195,803,869,210,479,795,204,152,581,865,381,043,860,258,847,246,010,
955,092,225,422,617,615,477,149,888,792,023,184,189,781,555,556,277,626,125,
658,369,547,562,122,935,877,851,763,680,317,805,637,308,485,447,696,144,609,
845,403,355,076,065,742,597,139,097,511,628,314,593,599,894,746,139,226,084,
742,413,928,417,927,751,205,778,453,129,261,093,021,857,148,235,758,609,814,
031,335,617,827,226,859,211,519,764,870,514,241,330,991,421,193,819,006,468,
106,537,172,400,184,703,549,367,849,916,146,731,858,666,932,503,990,382,278,
820,415,049,123,466,739,154,612,658,973,445,668,901,386,516,001,049,307,467,
784,494,845,203,950,616,351,692,399,984,884,578,895,364,134,895,995,272,873,
586,494,918,395,973,832,032,343,135,320,651,409,356,952,858,802,803,444,226,
204,853,458,118,871,249,880,443,242,166,568,799,150,891,259,995,550,652,742,
159,378,162,761,079,120,847,952,984,729,295,336,149,329,934,094,624,125,558,
777,622,213,776,714,880,214,518,649,808,133,260,207,835,853,198,024,914,094,
432,322,552,428,191,914,503,493,307,661,524,192,304,310,168,143,638,851,712,
161,132,228,724,465,005,822,394,573,491,526,080,939,793,278,730,163,976,065,
816,497,523,971,775,877,235,892,565,141,531,613,226,207,923,575,106,685,255,
836,979,158,185,329,396,611,223,127,481,861,613,190,692,239,513,845,435,757,
928,902,380,284,086,004,070,078,412,684,682,278,407,917,163,711,729,662,035,
489,792,255,871,529,867,384,232,561,808,281,344,798,705,645,926,728,520,667,
313,241,974,686,425,851,050,263,071,966,469,516,036,864,159,044,780,282,758,
549,863,833,482,434,097,748,144,904,007,028,880,233,028,457,990,701,693,746,
370,512,796,056,285,592,047,958,839,245,637,158,753,862,282,646,323,484,211,
249,508,129,018,209,951,349,336,288,420,776,734,785,802,112,548,827,626,025,
818,011,776,297,765,270,275,945,627,515,432,795,904,624,192,020,910,727,248,
822,116,515,285,071,148,518,687,066,467,356,515,681,875,920,346,291,331,624,
225,301,475,000,109,770,550,576,376,353,823,421,654,331,402,201,774,042,158,
223,478,818,499,001,596,490,473,864,656,244,963,913,427,081,738,951,659,741,
525,385,352,553,582,080,550,203,904,201,726,502,987,804,524,696,364,441,387,
408,782,454,238,307,172,187,836,546,795,794,716,103,259,243,279,688,808,219,
817,816,195,010,517,935,175,912,486,490,128,311,562,438,626,486,662,848,328,
672,646,553,503,476,584,328,868,583,117,934,362,504,162,364,313,849,504,031,
986,653,973,813,214,563,318,590,122,821,205,776,407,501,749,146,690,461,312,
543,556,773,623,736,112,180,033,776,206,376,477,426,534,601,637,221,007,426,
423,114,418,660,715,930,983,222,695,068,461,128,356,600,815,954,598,831,776,
319,956,482,316,440,070,095,416,143,827,669,014,410,851,395,610,861,566,737,
136,881,253,930,126,702,620,448,049,096,965,630,846,416,105,516,913,735,375,
937,062,724,909,517,171,177,441,935,852,931,895,293,820,924,372,362,116,320,
835,930,956,202,942,920,843,355,934,225,564,769,649,983,621,180,810,006,264,
847,962,659,804,342,940,158,280,427,032,101,748,034,912,223,495,438,447,071,
320,598,871,624,268,416,666,895,519,536,576,389,847,820,791,413,316,824,391,
407,296,620,754,174,718,628,477,619,195,572,615,389,169,437,347,257,669,501,
722,734,979,965,166,543,109,052,252,482,120,910,852,703,952,262,206,706,196,
276,268,980,036,873,776,494,601,252,249,230,285,741,162,344,360,119,646,449,
239,605,894,124,801,504,491,211,489,270,322,270,563,828,670,228,332,733,123,
748,568,413,024,713,790,982,385,471,773,613,314,906,601,754,986,547,389,238,
172,542,342,213,533,052,417,306,382,582,548,011,776,232,801,020,127,693,951,
080,464,429,464,193,441,223,208,570,027,412,825,964,011,153,310,399,548,756,
852,053,342,196,741,590,875,920,904,901,172,777,782,795,666,836,628,560,373,
411,157,403,777,130,205,434,930,911,653,120,594,250,764,149,775,762,066,705,
946,885,417,418,018,559,731,252,662,912,216,028,007,300,769,930,164,414,811,
761,065,656,004,700,958,927,509,710,701,397,888,744,805,857,106,200,817,619,
496,435,568,641,220,126,485,194,107,831,958,646,233,720,459,276,812,668,548,
910,805,053,276,843,419,004,835,739,176,093,632,177,365,198,741,699,688,789,
543,858,244,841,901,779,784,230,027,121,612,800,247,468,638,494,428,288,475,
365,257,552,573,615,853,657,859,875,776,684,541,855,192,713,409,850,050,251,
083,968,075,646,042,258,243,784,422,768,813,412,515,393,218,187,045,196,671,
260,511,616,509,414,361,699,961,528,514,467,423,842,928,061,625,603,017,887,
465,522,377,012,848,001,826,556,428,031,130,638,939,630,851,080,695,729,342,
608,490,496,032,147,257,787,680,425,620,713,087,082,703,963,297,794,718,886,
301,165,523,314,970,435,991,374,505,069,155,079,611,539,755,572,547,756,567,
034,497,147,234,187,150,707,171,420,219,412,435,071,027,885,721,744,449,033,
542,328,154,582,737,247,445,113,713,268,824,705,249,472,591,324,068,061,476,
915,969,704,788,813,251,697,417,885,225,972,035,362,142,332,197,120,912,590,
024,991,007,146,634,245,890,816,359,563,858,919,667,485,935,718,918,235,414,
985,923,726,542,897,490,059,170,149,278,118,274,089,954,725,685,895,151,013,
842,005,276,470,642,342,214,526,464,119,629,545,153,741,559,558,991,276,790,
873,522,587,276,056,870,366,264,309,638,219,370,867,275,040,112,776,581,446,
323,685,136,413,413,887,219,500,373,812,765,956,416,758,660,518,663,936,543,
459,208,061,734,585,934,369,873,872,502,630,051,390,130,426,106,967,230,952,
024,273,769,435,578,306,420,461,908,079,193,495,425,382,499,123,576,549,758,
819,543,120,108,928,905,733,492,312,312,319,651,360,859,599,378,867,445,039,
573,311,275,925,112,788,395,628,576,376,386,882,716,328,155,298,962,074,208,
834,642,084,940,741,441,523,370,415,228,536,384,081,900,137,410,409,229,006,
814,603,169,299,252,617,499,346,161,090,416,623,008,547,508,969,312,190,871,
700,630,016,671,017,308,017,321,393,835,592,119,554,462,598,097,675,306,131,
358,852,804,589,637,768,805,534,078,463,966,189,492,688,173,270,643,044,561,
361,299,570,090,592,931,154,796,602,438,411,717,974,247,859,266,274,905,330,
621,896,531,101,760,282,882,424,819,375,071,417,192,470,280,019,460,338,359,
053,306,052,124,291,051,594,943,739,092,787,300,000,498,401,306,678,083,404,
021,621,274,680,739,787,293,169,352,936,370,607,209,992,845,780,518,214,936,
921,333,627,038,131,878,385,618,148,605,654,964,707,047,060,409,298,243,181,
310,291,313,043,801,830,696,279,188,630,267,941,633,915,124,514,002,590,094,
667,398,747,934,113,387,250,228,749,558,952,555,200,320,943,241,225,010,491,
917,083,605,086,122,253,287,643,204,783,770,577,980,786,183,909,627,972,466,
976,829,241,803,254,805,251,803,388,863,175,751,026,589,813,924,749,818,775,
368,630,370,284,141,356,899,399,141,344,201,615,420,498,509,549,885,357,872,
892,206,784,474,889,943,527,045,161,680,985,704,132,471,766,874,569,907,343,
091,322,390,402,879,050,943,159,115,931,701,749,409,841,014,274,490,804,379,
305,810,666,769,685,225,208,707,744,353,479,261,546,130,564,677,019,910,166,
208,625,297,825,385,865,473,566,882,046,078,301,221,206,408,158,400,453,915,
843,341,666,468,709,007,995,085,244,572,578,227,563,575,895,004,384,019,264,
274,778,896,428,720,135,458,899,480,475,671,052,639,477,747,987,882,689,433,
010,560,826,999,795,972,073,982,406,275,905,112,486,891,304,834,791,979,420,
739,833,069,399,335,863,395,699,121,844,894,169,496,796,849,765,243,696,737,
302,913,551,395,578,133,913,622,852,492,196,667,171,070,932,623,651,601,216,
637,334,082,418,559,310,778,091,328,973,355,237,583,567,537,508,458,069,605,
364,961,345,696,530,433,262,116,661,083,271,717,207,807,261,731,293,380,098,
115,734,750,619,706,290,532,915,019,676,542,420,352,295,321,996,098,568,443,
917,668,898,457,984,589,957,688,707,677,265,182,198,422,943,418,743,541,767,
128,688,850,223,666,402,357,050,103,607,556,097,604,070,797,355,298,539,320,
883,681,093,519,880,832,534,147,433,341,440,656,429,147,944,285,356,013,535,
380,094,328,403,550,072,669,909,753,188,984,870,141,031,424,762,091,503,820,
915,443,032,818,273,171,428,631,574,973,990,591,691,544,832,861,678,587,147,
833,325,996,755,991,746,618,868,718,579,435,581,004,234,546,863,041,458,687,
420,674,070,616,677,691,549,549,974,563,080,077,760,551,575,472,104,805,642,
142,187,637,323,669,521,780,465,425,712,807,352,942,272,874,198,175,377,142,
741,296,071,297,741,045,722,778,604,208,319,926,413,176,654,767,977,782,394,
385,917,666,222,388,182,976,022,731,753,187,457,050,301,767,333,755,108,081,
932,854,183,052,302,737,327,464,159,498,295,732,254,518,903,448,013,559,974,
772,631,387,521,838,295,331,685,225,716,794,154,528,454,756,408,085,866,655,
948,896,120,633,713,908,716,630,540,757,807,646,574,373,030,432,539,207,596,
447,777,665,338,650,944,208,874,588,826,425,307,440,934,757,408,086,195,537,
056,686,507,903,489,502,085,498,114,032,494,726,890,332,624,148,440,320,872,
324,500,970,031,194,889,795,202,927,594,574,481,553,830,493,429,068,734,530,
391,616,794,975,074,612,046,181,833,698,465,545,057,385,512,222,527,928,676,
378,008,430,138,026,778,967,080,730,170,854,423,447,596,139,367,610,872,505,
090,300,366,328,653,391,009,508,595,277,554,208,332,948,356,232,866,412,045,
059,244,989,901,277,500,356,969,869,743,797,875,139,312,814,268,758,124,867,
981,153,614,940,195,756,324,643,777,605,349,072,766,206,883,802,737,160,358,
747,861,805,824,981,207,379,838,266,488,871,652,692,134,215,924,345,477,159,
489,006,051,853,199,829,929,001,650,908,456,472,222,589,355,053,204,889,219,
677,897,839,771,107,579,792,434,473,762,638,149,404,260,354,334,351,202,913,
993,351,676,270,155,744,827,891,378,914,250,457,717,300,670,560,354,454,144,
031,426,194,074,123,749,970,472,052,412,682,447,887,377,909,675,868,692,606,
106,145,596,369,561,889,291,199,692,196,596,625,459,626,020,646,825,084,961,
813,173,697,590,326,935,373,454,119,086,073,469,381,898,028,599,138,398,115,
972,404,513,646,820,577,780,291,150,808,414,496,339,772,595,252,775,140,546,
469,930,103,088,247,931,809,415,992,696,165,015,223,757,175,879,452,017,445,
669,953,114,138,459,286,428,417,749,789,365,040,256,228,897,102,082,374,596,
616,217,051,825,699,622,945,036,686,888,900,097,152,065,700,145,140,166,625,
336,928,670,336,963,126,530,624,575,059,176,060,828,133,024,409,545,797,417,
790,327,974,110,433,473,805,916,395,420,222,128,017,366,022,230,720,960,919,
386,553,539,794,977,281,761,189,299,051,875,792,946,820,015,294,161,482,528,
672,694,671,666,390,698,976,749,627,826,397,358,929,751,945,907,147,910,893,
836,048,295,272,769,565,473,550,074,482,838,684,019,501,659,200,158,989,736,
329,573,460,040,383,179,478,267,374,427,438,615,137,033,974,315,956,268,121,
614,135,412,047,112,349,187,816,500,906,404,280,800,459,354,785,048,232,681,
769,670,547,419,237,382,442,393,732,137,374,322,112,089,155,651,224,940,766,
658,846,712,847,298,620,768,847,016,612,131,048,087,805,532,641,134,281,233,
121,861,850,436,674,313,220,560,549,836,465,894,420,153,503,250,738,421,473,
246,049,171,016,438,186,192,435,917,497,254,048,218,399,780,160,192,569,519,
165,863,214,263,580,132,498,133,268,731,262,763,989,518,940,919,429,450,591,
099,228,287,766,459,915,871,716,370,891,014,383,989,724,335,506,663,119,903,
146,463,918,682,485,229,424,289,034,677,295,982,778,502,620,775,648,024,632,
215,231,866,917,744,581,300,137,437,598,310,776,371,467,168,759,985,983,384,
512,385,115,875,157,890,360,208,857,488,223,727,572,439,502,000,536,093,360,
530,520,395,771,950,485,289,211,073,102,425,071,578,197,004,384,808,324,836,
704,866,655,206,321,811,016,580,383,717,132,602,914,319,988,462,156,309,457,
460,879,636,286,464,686,696,203,650,908,354,023,926,593,314,826,357,306,559,
062,292,576,674,829,359,277,882,855,386,418,603,764,815,946,849,678,657,470,
385,074,754,710,463,749,547,017,533,163,039,621,484,551,738,765,797,670,598,
813,417,493,177,313,564,063,510,380,866,286,527,316,842,566,595,502,204,590,
788,201,293,371,851,990,364,339,084,869,876,395,544,965,813,967,363,593,650,
250,890,168,327,789,908,044,861,547,662,129,762,043,043,977,170,931,056,139,
652,592,175,731,525,891,505,001,553,666,050,542,801,188,598,862,178,414,186,
058,887,750,338,137,506,964,747,949,990,962,589,412,590,215,535,979,593,363,
369,336,261,947,317,927,690,031,563,810,501,784,178,715,614,275,752,875,831,
900,912,593,062,061,493,950,895,282,487,982,200,487,277,840,464,952,398,521,
570,154,683,933,830,925,744,821,508,665,522,379,902,085,475,788,870,597,861,
023,198,562,999,024,457,031,715,589,590,678,903,181,284,180,215,872,669,494,
670,953,469,491,360,235,459,184,766,997,254,678,474,248,060,944,755,944,659,
618,708,466,389,222,261,387,983,950,827,750,327,574,658,512,563,954,300,854,
681,918,902,039,566,881,444,722,293,765,257,331,966,428,305,956,084,597,843,
092,816,874,148,038,064,274,158,783,154,723,107,349,438,318,927,575,466,787,
533,744,994,408,547,907,412,212,570,309,680,957,529,317,094,585,029,885,108,
034,259,384,273,227,645,319,933,446,940,309,088,513,095,280,899,039,263,809,
884,593,012,499,649,560,087,994,440,889,550,423,312,668,320,733,366,598,542,
248,634,469,634,092,631,634,523,230,553,197,076,539,954,090,096,524,158,244,
949,659,381,225,802,997,386,575,238,152,983,312,277,664,962,407,412,629,159,
412,154,509,542,816,647,357,963,102,878,627,251,220,652,892,151,115,424,108,
627,647,189,921,849,037,189,879,427,255,890,020,363,623,724,091,710,960,706,
444,282,065,167,435,058,328,787,252,948,045,895,211,148,590,387,664,191,066,
031,185,664,078,098,015,397,396,611,474,414,421,141,487,159,584,467,150,083,
839,229,762,458,525,416,652,321,407,414,208,286,402,525,827,647,507,534,053,
759,092,183,394,401,461,353,652,037,135,739,460,546,621,705,296,257,678,076,
678,514,683,966,969,353,481,511,866,450,813,130,397,301,585,228,833,803,621,
742,116,358,519,482,631,452,453,447,203,861,047,290,654,731,127,795,234,318,
438,082,008,683,095,767,715,791,902,574,450,509,920,228,328,607,051,812,276,
971,166,193,652,078,728,846,386,783,347,439,583,924,973,696,511,918,759,534,
768,224,911,443,760,072,574,221,393,072,687,012,889,125,931,682,256,669,997,
008,278,659,426,883,837,108,501,732,219,347,760,281,873,743,646,441,210,931,
698,979,082,662,513,673,627,721,770,945,412,775,939,621,753,785,404,384,350,
469,371,037,159,618,932,781,612,794,932,320,453,042,475,997,704,957,795,738,
112,114,579,084,521,426,925,195,114,655,041,318,676,027,938,476,758,184,994,
490,750,054,858,135,050,784,763,817,627,588,802,353,694,645,173,533,366,866,
476,381,810,476,527,733,624,258,973,180,973,598,169,631,318,640,300,343,381,
186,636,191,073,515,488,676,056,075,636,855,982,066,910,523,834,136,733,737,
207,183,415,883,250,399,524,173,426,090,192,324,348,343,104,039,881,278,600,
429,143,711,476,157,012,834,478,259,811,450,186,192,418,049,342,435,763,706,
716,207,216,685,898,318,537,774,294,507,756,088,520,551,187,381,089,651,002,
339,780,789,059,890,252,954,627,980,481,465,911,259,675,371,976,491,791,593,
182,217,452,997,653,109,351,779,975,400,301,465,970,465,854,092,199,254,476,
055,441,953,871,164,674,629,843,384,637,655,767,348,705,457,189,400,027,576,
427,344,751,966,471,132,073,426,709,968,752,736,202,480,405,232,724,932,361,
942,293,456,188,418,862,190,034,795,782,923,077,206,634,940,216,760,869,674,
539,972,965,522,006,276,387,434,836,824,526,160,077,372,295,408,944,516,908,
607,589,837,274,785,710,889,410,786,839,717,785,845,232,911,139,274,722,666,
593,607,294,698,887,749,631,300,706,195,888,697,635,407,876,888,616,549,401,
820,473,263,618,933,908,283,429,464,200,488,570,323,363,144,782,952,932,417,
913,219,009,666,438,613,704,160,637,378,090,074,262,643,614,476,980,139,485,
145,805,369,939,743,967,573,033,136,969,369,853,776,885,651,194,406,414,566,
698,286,311,413,985,119,818,342,846,751,180,539,131,067,157,587,205,686,358,
293,790,992,128,410,199,441,665,224,786,305,434,261,628,630,247,002,625,510,
213,533,943,358,461,578,545,102,860,951,626,914,253,397,091,357,872,367,017,
491,245,878,530,525,232,187,927,967,010,538,483,108,368,778,775,682,068,310,
898,965,477,842,468,150,347,529,471,485,555,324,750,378,091,818,700,322,519,
515,295,493,487,223,299,744,922,899,059,993,149,451,067,438,121,951,076,353,
909,836,328,653,486,997,350,307,412,471,823,208,006,934,697,718,593,447,064,
826,652,729,155,850,211,323,283,651,236,399,597,855,321,606,163,319,469,808,
756,656,479,809,233,673,880,412,662,418,151,933,840,667,454,751,691,969,012,
088,844,661,286,661,701,153,970,888,976,991,282,446,996,931,704,208,144,156,
115,897,406,501,627,157,307,566,275,841,485,218,029,962,317,187,518,413,194,
231,142,587,163,949,579,384,669,132,809,946,024,142,411,980,469,618,426,727,
703,102,282,084,998,115,154,014,729,032,559,986,241,973,335,771,267,080,710,
279,590,752,783,632,961,736,008,183,850,548,616,140,321,857,423,411,335,003,
623,615,163,973,707,996,080,618,140,638,707,551,194,880,868,395,071,239,792,
752,448,576,063,555,303,090,900,129,246,548,485,338,897,060,039,007,621,966,
821,839,361,424,743,674,752,090,733,804,478,389,034,138,227,382,762,665,870,
196,487,441,946,677,405,516,324,798,168,031,439,256,926,365,135,761,828,550,
315,467,333,630,823,440,792,259,210,700,034,303,669,244,308,657,584,973,595,
152,899,671,838,026,580,965,621,854,396,961,533,968,390,093,072,910,859,547,
136,309,951,169,991,233,201,879,202,001,013,107,463,185,278,280,518,039,735,
247,576,570,543,187,850,900,910,150,706,211,049,840,464,749,215,846,909,770,
494,692,493,807,474,688,488,598,280,648,081,484,279,824,164,504,149,083,738,
538,416,635,385,754,743,506,475,043,426,202,870,216,914,580,897,814,239,227,
628,789,688,597,251,974,628,018,350,363,609,452,741,576,107,341,977,977,892,
066,285,880,461,372,982,653,578,007,068,212,679,993,752,298,186,879,491,337,
075,400,665,521,134,461,398,296,248,483,022,759,607,596,749,932,515,639,621,
766,775,694,457,518,827,445,169,420,844,378,883,147,728,089,891,141,645,976,
494,569,494,937,727,515,445,382,944,981,860,762,131,130,261,384,477,012,987,
637,445,789,664,598,579,096,907,119,025,592,628,954,581,561,406,072,072,602,
918,253,829,262,285,836,377,750,528,261,605,149,249,554,355,909,114,723,278,
564,005,958,647,031,688,768,146,617,952,340,927,083,850,487,739,287,682,309,
551,905,193,645,897,970,360,587,424,494,959,168,008,599,307,739,648,679,866,
239,534,777,168,430,133,754,360,903,715,885,514,325,050,798,455,578,412,787,
203,271,834,362,967,923,666,810,876,728,535,019,842,314,201,733,443,120,227,
519,686,885,144,631,707,698,154,430,975,572,424,689,654,626,808,587,969,286,
836,840,890,663,265,621,426,827,373,343,006,656,656,825,052,479,836,902,028,
848,131,552,795,888,987,146,388,341,965,556,087,648,757,196,165,140,469,043,
716,578,832,593,795,337,224,856,255,902,120,725,033,387,059,316,757,305,807,
434,609,180,230,525,828,451,906,110,160,097,314,520,632,570,702,921,738,068,
982,501,181,266,071,684,291,253,424,950,236,957,877,069,494,532,877,225,555,
847,410,507,756,544,797,958,251,384,896,837,664,446,976,944,346,796,127,357,
747,632,782,089,820,106,195,706,462,952,225,354,315,548,038,166,414,035,420,
232,147,107,592,374,551,065,043,812,364,865,808,203,177,680,769,047,511,299,
511,072,195,749,035,775,417,057,319,174,583,756,641,399,349,818,879,144,189,
219,983,285,259,412,654,192,473,408,668,734,521,982,579,261,384,956,158,622,
352,695,564,420,862,659,042,711,595,767,629,642,136,883,398,414,575,126,390,
003,909,934,434,022,219,689,584,939,216,213,350,023,514,226,305,947,106,280,
995,020,627,425,559,222,433,156,676,698,445,670,116,447,148,408,783,553,684,
461,511,184,305,521,645,195,149,499,576,512,256,803,918,984,005,228,570,776,
943,770,332,073,550,193,681,107,418,598,658,026,836,999,605,128,826,414,407,
958,143,877,829,250,112,970,238,363,278,036,329,832,520,329,546,537,452,300,
827,319,860,044,937,182,000,241,521,544,428,816,995,918,200,529,119,399,183,
524,668,565,325,403,252,472,715,528,140,782,303,696,059,582,465,055,926,011,
256,115,894,346,737,326,860,945,495,975,314,416,047,416,387,778,138,335,361,
140,911,376,500,835,672,732,476,230,847,550,523,721,872,381,918,279,767,406,
372,680,163,630,428,058,057,789,155,450,524,598,659,835,170,359,092,303,029,
044,662,291,958,613,660,057,079,256,005,107,225,426,800,128,965,997,047,724,
446,983,718,995,358,562,134,159,592,094,563,579,625,257,065,269,088,737,537,
633,355,398,793,886,950,601,942,675,564,426,200,960,928,506,197,156,476,745,
410,264,878,103,059,889,174,415,427,950,577,507,768,649,905,397,437,929,956,
781,364,735,399,278,454,947,267,971,286,517,615,411,134,352,605,796,277,717,
290,398,930,185,853,026,458,779,936,748,824,846,949,758,929,100,485,975,170,
131,274,745,184,479,626,011,666,540,006,860,639,042,075,157,044,562,926,618,
536,201,809,573,936,890,029,248,367,074,580,519,679,805,892,345,555,763,150,
040,416,242,641,101,153,484,639,917,358,299,359,178,388,238,749,862,236,377,
172,575,095,711,798,039,569,645,878,205,210,291,044,158,726,876,152,007,568,
114,910,693,052,576,923,891,675,524,045,416,386,921,120,818,021,354,875,277,
293,012,837,234,445,112,366,275,870,634,156,527,419,458,133,601,839,385,770,
690,439,397,975,560,997,709,658,112,761,948,949,485,419,950,796,745,326,893,
094,828,280,046,682,222,060,597,552,083,895,056,177,071,591,133,784,583,660,
766,272,452,572,334,476,150,913,457,547,880,324,854,325,131,916,287,201,146,
337,334,737,049,663,277,663,739,388,622,480,023,607,486,453,632,842,616,956,
441,317,501,160,371,149,267,005,384,212,815,332,365,094,235,498,413,381,982,
581,140,612,949,867,885,589,170,783,388,608,957,034,178,762,590,501,270,390,
098,163,200,995,934,278,668,103,837,741,577,701,083,731,048,130,589,562,700,
211,857,793,715,009,860,526,953,630,033,930,497,420,562,507,546,357,857,497,
841,378,559,637,420,838,625,323,179,308,602,988,896,593,646,310,186,121,497,
533,114,701,270,302,618,497,210,495,284,156,175,224,841,585,572,177,077,614,
679,989,586,458,572,523,048,251,115,349,930,574,172,605,904,315,508,865,467,
877,519,829,119,160,334,886,364,181,318,777,550,650,242,856,203,874,019,216,
187,565,767,535,080,411,946,036,125,629,176,639,270,520,056,717,212,574,120,
947,686,875,840,766,931,668,048,957,637,185,209,717,317,234,008,762,754,167,
089,236,497,455,518,921,411,674,038,863,140,120,083,901,799,762,094,233,490,
662,619,514,529,450,874,613,141,461,733,509,924,718,956,471,234,002,148,735,
231,644,541,845,012,919,654,086,761,573,409,097,487,213,991,290,719,497,834,
035,958,000,937,439,885,362,664,081,379,846,324,319,955,147,690,887,179,230,
167,675,364,653,404,653,009,960,429,129,009,605,099,170,558,802,345,006,589,
339,735,687,536,740,564,667,923,658,177,177,136,386,815,854,075,814,839,246,
729,992,868,729,337,742,176,859,323,455,077,504,257,800,444,230,266,963,845,
678,574,547,053,034,019,358,626,114,203,083,558,755,528,880,725,691,356,006,
732,568,658,563,835,383,242,723,603,206,285,309,972,430,430,752,092,823,429,
843,517,717,167,827,176,021,810,893,363,693,802,705,196,751,501,913,479,888,
518,448,646,766,358,074,769,491,982,649,585,539,282,932,601,314,691,284,863,
535,509,640,761,369,736,554,080,491,353,773,268,322,407,915,315,781,760,912,
158,930,884,968,449,170,848,519,328,363,677,082,229,533,621,046,681,241,558,
217,738,950,910,677,483,097,115,302,247,413,146,690,101,366,767,138,239,341,
776,584,580,265,346,126,889,992,438,192,890,876,067,816,527,524,152,475,059,
147,792,428,042,302,728,701,572,948,378,008,320,267,487,718,330,454,602,862,
171,466,462,409,707,321,954,546,657,661,044,358,422,567,303,615,112,401,765,
802,169,637,179,789,025,053,189,320,025,775,925,639,062,809,554,336,156,240,
478,913,111,386,178,960,895,423,667,165,735,413,872,489,795,900,749,111,583,
950,287,708,615,169,410,062,110,163,574,493,736,193,806,909,961,197,930,861,
955,121,853,944,435,143,269,682,191,433,766,758,022,159,436,763,664,211,442,
733,620,927,163,514,544,286,587,856,932,094,363,167,098,382,306,498,714,764,
233,961,164,779,908,561,764,556,147,681,617,617,094,666,704,073,103,129,890,
156,928,052,880,836,201,851,944,251,332,107,660,560,813,481,970,726,988,823,
318,483,083,325,076,413,485,461,306,738,421,146,112,480,154,846,575,066,255,
516,988,508,388,295,246,696,247,911,784,233,829,622,192,364,908,326,598,993,
296,387,290,434,268,855,622,815,921,989,557,482,953,457,995,106,824,699,666,
659,564,699,709,753,853,818,590,629,467,728,359,546,560,785,724,277,795,479,
354,267,632,812,982,382,716,811,500,728,766,841,831,705,729,273,503,458,293,
745,632,689,374,267,258,746,216,639,601,772,520,026,205,546,620,196,856,548,
956,716,031,305,122,750,604,276,754,952,344,386,288,559,231,617,014,294,260,
590,283,045,244,739,632,136,919,776,688,216,633,336,821,922,719,540,331,728,
679,207,507,079,885,958,019,559,611,268,354,477,162,963,169,009,861,910,771,
263,365,844,067,637,479,197,949,059,119,965,780,288,265,568,525,038,930,806,
139,851,228,405,429,232,104,557,180,843,273,230,617,334,132,990,279,478,915,
113,234,882,406,165,871,735,019,921,149,996,300,910,080,785,216,032,234,357,
571,089,232,914,467,095,585,769,984,010,540,508,356,802,167,834,854,154,793,
889,779,511,427,666,077,045,649,133,929,745,037,123,127,008,817,400,263,642,
720,308,516,108,545,972,454,826,105,417,873,758,762,010,545,948,370,866,261,
810,213,851,236,754,539,804,157,345,130,765,196,288,706,550,825,879,404,608,
570,471,663,233,582,454,667,881,210,095,450,444,449,432,960,858,735,634,685,
213,023,876,063,392,235,636,288,168,573,175,641,741,371,681,043,707,733,500,
435,957,367,846,712,180,070,421,502,969,125,714,645,117,992,620,290,234,260,
491,331,704,401,065,184,328,722,831,860,560,927,457,448,756,462,347,365,056,
998,248,435,367,629,075,836,178,363,343,561,130,795,626,332,517,683,239,758,
425,315,412,712,451,910,283,663,551,448,380,830,305,557,138,845,210,837,505,
778,012,888,942,647,092,044,776,576,381,617,164,228,958,860,676,833,019,448,
426,895,577,137,559,894,234,818,713,946,699,422,515,687,188,358,610,016,736,
375,315,368,797,569,109,157,892,793,349,809,680,994,936,136,701,655,635,245,
143,342,650,658,332,994,394,034,570,066,983,755,599,588,767,566,295,573,342,
247,062,721,252,732,948,058,445,533,609,956,336,743,662,283,800,947,765,601,
546,417,565,544,744,922,639,836,327,295,123,255,228,387,677,385,479,408,010,
284,749,191,254,965,975,546,652,007,328,980,283,755,168,262,018,866,985,319,
801,281,734,286,906,651,465,087,800,957,360,163,990,816,204,149,927,029,751,
254,598,953,957,923,066,633,861,896,143,313,443,533,805,531,972,801,652,163,
153,762,924,363,511,900,801,050,052,752,994,113,300,998,859,842,779,590,062,
215,896,271,705,871,208,521,083,276,391,281,160,434,998,325,782,302,014,218,
208,762,928,554,321,512,636,756,218,218,603,502,600,684,939,105,959,604,105,
811,946,184,804,154,837,635,334,615,072,443,956,487,021,760,859,046,311,842,
916,166,069,585,853,597,429,159,593,287,109,009,761,643,244,693,097,962,593,
275,086,158,751,503,610,158,498,857,664,149,105,240,226,689,265,271,746,502,
329,941,380,623,767,477,991,288,987,608,570,497,643,375,706,326,476,162,251,
970,767,452,706,772,184,290,822,571,924,482,103,627,317,974,787,109,310,458,
211,302,768,165,028,810,499,107,165,711,820,200,939,507,047,448,309,382,937,
461,019,862,572,847,194,804,344,951,510,295,068,347,412,297,707,538,990,308,
407,367,443,399,139,331,046,811,138,938,652,253,255,861,472,159,986,345,111,
523,892,156,610,369,993,584,734,437,304,925,793,172,814,817,909,714,846,602,
587,332,768,500,088,601,475,266,415,382,898,668,746,473,533,984,538,733,574,
748,443,526,560,320,522,848,560,649,386,649,910,011,020,982,292,037,066,305,
711,660,404,174,619,150,267,208,452,966,733,491,997,429,536,189,649,645,741,
009,815,387,370,559,404,678,734,646,016,727,695,947,016,831,450,306,772,834,
637,986,827,398,634,749,795,622,122,935,361,602,821,226,652,255,356,834,875,
634,741,426,314,619,065,178,132,836,460,781,503,510,814,778,111,649,800,424,
144,037,103,873,361,241,149,899,192,558,510,152,171,565,554,879,069,770,564,
391,404,810,942,328,556,353,055,985,232,640,977,284,678,899,591,656,868,695,
258,365,632,048,114,531,359,848,590,110,045,532,220,317,845,370,119,582,586,
332,024,100,585,343,955,240,792,979,334,813,442,531,290,605,721,586,861,008,
317,331,800,987,524,814,179,400,778,369,042,036,929,097,407,288,194,093,850,
339,696,027,675,675,918,217,504,586,064,562,465,881,398,022,036,600,755,027,
439,928,212,146,007,990,601,644,323,481,666,514,703,488,209,689,138,128,318,
039,759,766,119,558,320,041,620,426,074,056,988,268,489,016,294,063,803,082,
649,001,174,067,796,000,378,049,328,930,017,735,688,765,902,945,196,343,778,
458,409,092,796,597,033,228,218,917,882,216,510,656,495,363,486,829,061,127,
435,234,447,137,885,716,986,082,718,451,425,995,892,403,183,469,798,519,320,
293,892,031,382,042,290,526,127,651,797,995,511,413,764,354,617,648,449,091,
724,463,650,577,551,820,685,344,345,277,879,116,928,900,454,775,982,088,820,
096,335,218,603,677,676,493,682,347,153,023,288,952,637,660,693,612,995,390,
263,502,514,867,147,050,728,216,438,784,124,770,410,638,943,624,566,698,311,
202,159,597,030,284,093,026,237,464,820,341,183,451,804,744,166,068,875,431,
785,275,757,394,982,136,636,449,373,286,728,447,016,892,591,651,522,448,553,
068,304,869,191,310,230,129,171,622,609,203,178,560,095,680,451,881,324,442,
646,639,122,688,605,176,973,345,532,769,865,954,464,640,997,993,138,088,419,
794,400,522,776,533,046,217,582,801,012,845,169,965,880,413,293,583,988,088,
599,273,280,157,359,724,240,294,483,694,121,186,920,898,696,700,847,533,538,
244,534,114,640,983,495,144,308,307,407,300,427,884,909,491,716,458,224,949,
456,884,103,723,597,693,038,758,589,023,054,001,365,136,802,802,735,696,930,
560,754,713,454,223,722,547,532,206,059,041,665,541,447,747,848,179,595,012,
947,788,661,873,230,543,766,096,163,388,908,835,621,197,643,605,743,459,222,
962,692,287,900,159,524,203,501,141,407,801,948,077,236,496,099,400,122,640,
840,310,812,525,782,838,138,944,506,038,429,155,894,597,514,009,451,591,599,
078,148,163,757,661,548,349,591,549,118,975,149,084,588,546,939,065,364,541,
368,024,858,959,514,034,988,544,287,351,241,024,463,515,396,061,909,368,937,
233,199,882,137,205,943,833,226,283,775,861,663,995,505,523,585,681,153,395,
017,448,247,286,354,798,385,858,941,161,283,471,440,848,979,932,618,106,501,
594,343,347,995,440,882,161,962,999,857,913,788,888,404,195,579,402,240,498,
095,822,147,707,117,632,022,204,004,102,338,139,717,752,583,333,095,134,365,
638,695,210,601,834,245,837,725,941,212,349,957,931,411,442,570,727,721,568,
857,368,918,271,168,339,507,953,339,743,902,931,062,461,204,224,832,255,650,
951,854,267,317,935,911,028,111,740,254,768,115,106,891,401,784,211,642,386,
852,177,016,336,289,680,766,227,072,780,461,486,274,796,589,436,221,456,103,
789,287,835,056,491,947,480,299,049,611,323,003,968,931,239,728,135,858,555,
382,492,147,399,038,552,653,623,745,931,164,988,225,707,396,616,223,296,567,
165,606,953,929,650,982,029,303,927,600,903,883,044,119,105,227,810,431,815,
873,512,875,666,907,324,617,771,657,362,327,598,636,980,490,437,149,139,671,
125,212,844,003,148,818,202,117,087,461,465,216,392,363,332,237,022,425,363,
751,035,394,260,343,178,328,054,310,045,834,625,820,665,079,972,971,882,762,
908,533,226,936,284,340,372,978,893,073,799,014,818,344,533,357,823,876,535,
558,960,027,180,374,106,865,666,042,705,007,772,099,428,081,437,626,488,343,
164,025,211,606,960,650,083,306,177,885,495,034,199,364,371,513,973,569,299,
977,437,077,226,958,885,873,670,709,553,040,194,869,255,743,319,746,553,456,
070,238,614,850,825,069,073,148,277,112,414,939,171,737,110,113,889,119,769,
218,269,903,744,777,160,198,660,134,514,572,106,318,323,005,367,867,129,017,
927,972,102,007,379,472,467,597,690,232,239,825,320,038,672,519,282,005,638,
148,528,518,468,265,734,718,829,036,178,803,895,251,503,316,736,528,019,430,
699,041,851,675,790,900,966,660,942,442,811,217,538,305,917,987,594,947,915,
925,054,238,740,898,370,683,080,203,464,184,297,109,324,902,480,537,506,595,
019,589,080,498,144,653,047,314,756,711,978,983,229,914,045,056,377,020,326,
100,063,323,580,737,648,186,830,835,682,857,265,145,470,023,351,767,304,679,
899,457,405,389,928,337,170,119,887,048,901,751,876,414,392,882,026,883,121,
689,426,142,481,814,841,191,283,970,814,382,888,083,368,642,913,950,159,215,
263,527,796,796,538,094,721,842,957,603,919,220,733,583,637,389,276,358,547,
644,092,322,242,722,776,769,144,118,064,086,296,050,275,107,115,119,891,930,
791,219,608,791,806,735,549,744,746,985,758,127,599,394,991,456,683,262,494,
776,788,119,454,219,728,681,440,644,555,200,278,558,267,532,024,645,676,572,
872,286,834,305,472,677,969,008,442,288,944,262,192,946,541,646,887,759,708,
938,282,358,074,073,399,368,332,696,815,086,859,192,206,478,756,114,727,841,
244,910,745,570,237,648,910,124,468,222,119,988,318,058,255,291,074,541,313,
176,123,343,234,960,754,079,631,514,429,047,080,938,980,506,138,161,180,524,
086,307,705,380,670,906,728,755,749,592,393,978,754,837,557,484,134,690,185,
169,228,870,314,719,748,704,210,704,066,989,074,341,626,367,732,511,348,948,
035,318,380,387,308,268,846,619,116,925,792,354,060,893,204,430,817,098,597,
368,731,062,902,402,351,073,219,155,575,039,243,428,734,187,306,957,048,899,
009,739,858,063,642,634,998,409,668,418,573,871,638,270,430,252,447,156,482,
317,935,054,543,917,534,768,562,807,112,738,074,169,340,455,425,709,309,185,
865,146,867,192,611,002,160,912,575,784,355,898,445,629,273,302,815,184,392,
073,663,170,916,579,520,384,390,586,796,415,801,521,127,638,481,751,980,061,
707,826,028,176,179,469,939,597,537,748,462,879,937,230,777,470,830,976,752,
164,945,753,783,823,632,868,579,861,527,747,125,363,690,401,224,014,217,533,
051,776,553,477,992,586,533,663,631,958,139,309,415,351,849,814,912,067,507,
137,847,096,599,909,385,219,347,675,844,977,195,437,542,554,149,238,176,765,
443,511,726,847,841,252,994,365,176,811,757,283,513,009,735,838,907,562,340,
532,416,108,384,467,761,128,279,272,868,017,443,110,332,925,684,246,494,638,
143,566,506,875,151,825,977,921,708,726,351,062,179,614,724,274,302,270,716,
320,437,557,485,709,872,934,457,527,300,651,266,015,159,856,905,624,889,854,
591,896,306,698,315,043,072,837,720,548,620,149,174,148,524,307,780,792,860,
562,059,178,132,434,344,138,619,380,575,804,650,791,370,074,077,483,247,465,
051,275,700,778,723,401,525,419,192,903,714,123,398,856,696,514,428,219,184,
730,592,273,041,071,731,150,057,506,082,647,379,768,076,617,116,729,100,766,
958,108,457,576,955,885,668,895,604,713,970,891,055,896,026,701,995,681,181,
983,006,596,346,452,647,682,838,372,634,520,088,958,019,099,880,545,817,958,
815,825,604,334,487,633,153,285,259,988,875,590,069,784,424,067,597,287,127,
288,796,980,063,954,074,722,716,182,279,559,717,782,512,054,344,701,995,851,
606,924,393,674,145,800,645,730,672,846,083,286,539,936,309,461,970,110,168,
705,056,090,896,799,062,315,829,113,082,439,982,086,694,512,028,908,854,008,
272,104,973,819,081,155,317,526,536,841,494,028,240,167,683,895,599,668,042,
172,494,555,831,823,826,065,038,107,438,070,933,120,895,728,570,292,451,699,
242,652,332,351,054,994,411,297,920,318,864,603,388,317,068,177,347,719,885,
513,442,208,411,681,740,768,541,128,078,417,053,988,492,978,300,846,302,070,
278,750,311,475,573,120,013,104,043,477,557,222,787,815,511,490,923,298,757,
164,354,451,209,227,860,517,210,221,763,634,273,401,853,580,503,769,895,972,
152,610,879,037,235,794,167,788,492,606,530,991,933,588,373,256,687,497,982,
265,069,661,952,875,243,652,686,633,538,739,319,068,360,613,662,818,938,441,
907,012,086,973,807,848,379,923,131,123,419,860,803,496,533,678,484,707,033,
249,975,571,710,794,984,682,721,910,315,110,253,206,873,195,985,062,731,049,
157,272,025,979,220,912,105,450,581,305,723,895,861,557,894,846,091,603,878,
539,278,065,981,867,800,965,455,832,190,635,038,349,779,629,737,426,797,675,
335,221,991,658,594,597,381,057,206,665,004,538,211,209,292,056,784,337,912,
094,805,302,289,267,706,704,764,909,580,808,300,404,462,179,560,050,679,722,
321,246,332,208,067,851,453,296,162,975,697,615,886,990,636,786,714,090,052,
145,084,334,815,028,283,789,153,549,973,636,123,437,835,462,667,835,100,624,
723,822,893,827,756,395,206,149,143,771,169,423,653,155,008,460,152,970,824,
791,336,573,219,608,739,580,011,648,059,453,856,751,836,435,623,624,173,117,
998,195,496,160,570,966,048,564,120,103,793,569,731,398,538,157,767,584,874,
989,921,563,797,281,832,460,994,974,082,146,831,583,872,720,141,103,724,001,
318,171,899,887,864,219,862,244,748,266,801,174,502,951,451,184,564,960,695,
735,702,138,251,280,346,289,539,503,278,047,986,155,876,703,599,635,534,753,
042,633,714,233,541,879,154,850,687,039,859,541,446,159,248,857,936,526,152,
187,963,661,501,353,194,538,731,571,206,146,316,252,435,924,404,537,798,129,
099,461,946,831,864,583,669,996,840,214,467,173,339,968,634,749,698,581,033,
691,605,930,316,856,959,543,030,884,711,278,260,066,209,797,303,795,499,436,
622,895,108,106,691,015,081,684,061,713,525,010,598,000,093,839,357,853,545,
187,214,081,357,503,560,206,493,409,901,629,101,250,193,007,384,976,889,297,
321,662,381,840,448,455,284,100,661,683,094,904,346,528,341,391,215,685,661,
511,240,251,454,755,365,399,462,886,764,431,542,580,569,825,416,036,128,865,
608,120,839,366,630,559,539,696,285,896,089,483,088,480,438,889,760,538,399,
292,870,835,174,517,924,172,349,561,814,888,941,988,827,302,612,236,638,899,
867,949,286,509,456,122,399,055,757,602,309,477,318,383,313,997,757,289,967,
674,532,531,389,090,343,192,770,033,419,186,932,296,882,038,817,784,889,849,
355,346,497,794,453,068,050,379,368,234,624,651,614,251,509,409,793,770,280,
882,486,841,661,174,864,601,617,446,265,277,189,202,200,869,265,534,114,053,
489,605,624,372,908,420,091,989,034,162,539,841,006,073,998,309,839,519,966,
784,989,208,805,288,493,086,624,170,438,940,834,554,783,739,399,249,891,721,
132,776,611,062,636,578,314,016,594,414,786,514,475,187,967,570,814,300,142,
108,537,088,726,330,060,646,665,877,949,535,467,744,437,851,601,976,614,543,
575,650,643,038,556,804,079,827,711,484,314,330,923,597,762,663,620,637,869,
892,625,898,557,787,539,477,987,983,342,017,176,442,812,627,218,297,965,717,
749,937,195,897,938,994,535,266,463,419,373,978,685,006,613,041,663,488,812,
695,852,714,527,306,118,336,083,103,379,512,292,472,535,015,861,625,579,198,
165,383,591,607,927,070,251,097,404,539,581,082,297,832,768,459,528,574,101,
074,996,183,954,741,980,844,900,941,436,862,921,450,663,593,895,712,796,633,
299,038,161,169,139,144,175,815,185,691,109,881,726,728,132,731,759,637,372,
698,027,612,153,090,642,741,790,986,561,346,002,877,892,754,943,079,245,150,
912,717,364,288,469,778,861,652,681,090,147,756,925,116,178,466,505,332,372,
336,135,624,717,901,630,168,384,075,545,612,351,506,231,901,020,460,913,093,
002,729,918,841,137,913,209,637,710,573,115,202,444,700,178,254,617,596,700,
860,526,011,287,787,050,728,357,173,714,806,726,859,974,630,212,570,058,655,
873,858,994,928,887,487,335,812,237,834,277,349,796,092,095,425,499,685,601,
697,673,900,216,355,238,057,754,162,248,495,964,538,645,737,237,891,838,072,
615,587,652,761,008,903,559,693,467,804,061,540,564,144,601,003,295,212,413,
243,899,257,413,822,866,132,672,466,660,347,266,000,568,768,697,892,000,357,
757,498,443,471,643,379,537,600,966,503,461,154,546,236,383,357,766,783,145,
713,354,406,420,067,065,697,756,626,765,321,294,442,378,707,883,156,612,853,
382,741,648,197,367,014,302,418,751,521,791,585,617,163,759,786,262,916,487,
213,978,023,858,334,963,866,362,276,736,271,359,747,457,153,566,787,807,883,
862,493,654,905,638,234,754,858,694,987,106,182,681,887,675,855,622,642,940,
145,041,454,938,760,241,358,157,047,733,492,603,178,599,123,679,720,166,431,
624,081,487,758,323,841,578,739,977,652,232,062,323,392,347,598,097,152,961,
038,637,088,497,646,240,034,093,307,052,839,775,115,964,653,108,632,559,993,
907,997,257,192,024,263,833,817,444,049,845,768,303,247,812,385,116,160,153,
974,170,551,731,198,531,402,505,536,896,312,646,961,182,588,502,593,885,063,
334,613,244,949,730,694,384,727,487,048,610,069,759,552,186,430,161,232,054,
092,906,996,009,022,209,563,415,308,708,237,399,794,282,646,342,202,913,259,
686,671,382,192,230,138,836,975,149,945,958,974,463,181,975,587,955,749,348,
633,928,668,426,930,195,890,379,589,050,261,786,538,255,564,328,990,516,760,
729,561,030,968,330,269,836,199,821,753,814,570,026,747,912,881,537,327,046,
037,540,614,980,192,370,301,974,823,044,682,090,152,132,579,140,250,608,592,
606,955,410,890,892,036,271,085,522,722,572,618,643,972,249,784,438,637,794,
433,133,361,986,755,263,133,204,832,995,981,809,902,479,679,155,039,325,592,
436,395,670,053,247,912,775,459,782,913,466,623,756,605,594,734,560,801,622,
013,807,040,385,017,577,514,488,828,035,215,631,162,196,249,550,803,017,021,
645,630,619,840,670,846,379,365,726,581,169,070,469,572,154,125,795,360,045,
482,003,815,939,030,524,271,837,302,922,419,255,047,656,140,477,977,429,093,
714,721,577,396,095,216,234,883,404,172,124,273,796,021,303,754,803,396,169,
986,569,331,668,651,122,360,797,655,703,277,931,261,109,485,625,494,379,541,
456,724,227,747,612,642,321,836,461,198,584,818,856,255,855,580,252,837,741,
217,085,293,768,981,484,881,833,084,606,720,690,288,152,279,988,001,317,942,
575,581,558,923,278,919,147,235,610,210,810,215,518,370,847,736,928,256,414,
009,724,005,480,665,454,329,512,971,771,644,068,596,004,446,673,355,458,355,
339,644,371,716,442,713,896,287,948,621,379,206,929,119,374,011,967,571,471,
854,093,421,878,659,233,324,401,919,345,734,546,539,921,727,397,896,815,386,
765,680,884,372,553,804,053,493,122,769,017,110,731,349,933,329,053,723,172,
929,457,503,079,965,330,522,712,615,924,671,700,126,830,670,490,064,900,206,
296,106,984,121,653,697,126,189,889,285,334,274,300,983,465,638,999,566,633,
662,572,614,208,240,816,662,735,749,000,746,775,373,154,546,736,987,492,536,
898,942,971,241,312,912,906,582,324,048,652,657,404,701,802,287,226,690,337,
154,417,831,207,486,756,545,600,128,546,554,930,464,295,800,283,586,230,313,
345,700,293,680,100,207,663,958,172,642,226,702,222,355,451,465,147,830,934,
370,719,666,115,020,404,201,752,532,672,827,951,953,607,016,618,068,648,218,
193,249,630,837,914,271,413,624,503,725,161,117,415,290,094,705,381,067,603,
418,105,773,422,218,157,086,085,778,477,426,251,058,950,218,135,729,616,601,
645,000,875,007,113,622,583,968,358,273,733,648,913,436,597,079,669,207,337,
873,479,346,726,517,277,141,550,663,215,645,415,327,040,980,407,176,090,813,
867,492,215,667,295,168,196,456,262,702,831,330,365,462,800,368,727,922,593,
331,367,992,552,209,908,489,581,244,979,703,663,568,258,621,750,505,567,834,
346,127,269,052,458,661,487,666,908,932,876,541,757,306,124,922,021,376,225,
886,223,598,410,040,130,001,148,810,916,453,102,714,265,695,505,530,301,882,
767,214,807,411,458,855,845,054,954,810,947,198,061,948,549,499,592,835,084,
405,245,613,146,424,791,780,571,776,747,581,281,714,471,830,651,253,858,999,
518,675,082,487,721,304,513,744,829,119,306,722,708,641,913,392,362,787,602,
972,809,323,678,718,628,571,317,935,966,734,754,629,878,859,732,003,471,545,
275,694,670,395,360,082,743,696,318,285,255,287,373,983,118,605,665,085,012,
304,379,770,032,987,148,716,040,597,142,605,688,257,854,391,627,059,459,323,
377,493,738,735,556,683,114,218,841,038,992,175,137,233,172,855,322,819,495,
989,808,758,720,311,910,132,185,751,738,706,341,273,728,419,969,580,972,116,
659,320,418,063,831,831,965,406,792,178,261,917,662,936,307,505,912,100,457,
581,273,780,866,378,697,271,597,506,433,414,033,411,531,818,822,779,616,081,
866,097,581,475,956,733,209,615,250,642,666,340,512,111,484,949,950,492,396,
339,212,797,007,801,750,927,980,079,729,940,139,984,702,573,179,948,495,173,
866,283,621,958,319,628,444,414,389,003,333,304,310,360,228,717,065,047,462,
365,169,746,951,249,557,490,454,723,690,962,485,161,907,576,552,607,061,481,
111,884,342,084,037,740,531,438,046,489,389,938,979,600,856,944,698,195,741,
853,706,905,079,757,117,430,019,551,075,705,264,301,379,023,479,415,442,661,
978,790,335,435,410,244,284,233,712,904,058,247,392,865,469,297,612,477,128,
730,636,878,313,426,965,442,427,790,857,664,406,756,212,910,996,972,526,451,
438,157,146,313,580,984,336,498,748,982,118,256,469,392,877,009,885,520,215,
640,659,314,987,074,312,323,996,074,633,928,572,807,027,519,113,874,405,236,
270,344,749,676,447,170,724,036,243,125,599,016,127,603,225,148,882,061,591,
476,898,933,725,727,961,345,755,175,296,987,822,063,906,176,411,863,683,192,
534,064,363,946,244,679,141,205,678,279,743,069,207,573,385,131,407,450,096,
682,172,398,165,114,733,344,008,675,433,507,453,546,297,215,688,604,588,003,
541,075,434,771,283,557,599,387,871,221,873,280,708,256,264,246,508,559,084,
994,685,928,849,251,562,253,228,775,277,166,584,791,600,215,927,084,358,111,
189,292,235,987,002,416,990,144,669,308,019,547,703,735,659,248,157,623,465,
375,821,612,571,345,579,073,202,198,733,348,125,773,510,344,153,896,327,579,
851,985,346,517,408,620,868,205,277,810,975,542,994,913,994,570,132,614,508,
587,776,795,454,973,370,309,700,291,542,334,359,645,973,095,810,363,786,230,
025,070,753,309,092,493,563,704,455,896,506,929,980,030,617,242,598,787,133,
214,551,839,648,169,104,729,426,371,865,864,090,346,089,060,515,647,965,744,
631,707,755,848,105,772,949,173,476,952,331,446,383,231,446,230,653,520,262,
657,522,233,511,130,930,052,977,177,470,117,112,968,102,103,808,187,825,532,
739,105,748,598,954,208,276,901,910,282,725,305,731,618,958,176,633,978,634,
009,891,947,008,185,067,951,823,962,259,731,440,514,424,420,826,328,265,320,
769,834,959,613,369,976,679,529,899,953,526,393,200,840,663,676,535,521,326,
881,460,756,835,317,801,048,227,585,525,541,382,428,447,221,355,010,841,393,
661,860,626,415,115,568,593,945,370,302,385,073,596,123,136,177,595,791,522,
825,644,589,994,188,631,704,674,078,352,211,180,387,296,480,364,119,078,519,
588,263,443,338,060,938,031,903,057,071,609,289,719,778,094,065,219,910,640,
170,569,796,914,102,574,027,316,116,649,328,234,266,042,703,366,940,549,214,
322,238,932,420,196,490,049,818,513,717,318,474,962,927,485,056,243,675,706,
055,714,293,007,940,747,219,920,845,120,739,344,656,786,673,966,452,425,342,
982,702,237,304,616,963,091,617,404,375,864,850,144,982,682,734,328,047,476,
604,912,575,689,585,597,586,220,129,500,689,147,218,327,813,272,139,371,953,
136,687,926,281,100,913,612,651,089,801,190,000,514,635,847,024,408,081,061,
773,594,088,792,080,877,347,077,158,120,117,664,705,428,799,916,100,500,341,
656,287,576,872,494,220,705,685,010,348,141,136,594,943,567,497,413,285,942,
735,670,046,750,656,322,272,443,718,344,160,828,243,329,885,325,224,904,876,
994,163,121,025,847,781,242,390,610,711,277,006,324,321,890,563,264,597,224,
882,418,462,633,544,275,589,510,781,663,041,634,893,776,656,083,745,290,604,
347,413,060,267,961,517,098,377,644,052,293,955,505,545,881,785,674,540,700,
090,713,976,305,225,031,544,210,778,466,211,047,653,300,302,883,810,390,563,
763,942,909,230,364,502,795,719,417,831,738,126,116,061,989,970,705,516,312,
591,362,956,809,369,646,907,166,652,284,477,367,886,083,336,886,964,384,824,
455,603,324,339,719,272,528,530,982,350,861,348,098,944,024,174,624,279,572,
911,401,167,680,628,227,800,083,913,272,956,974,599,787,570,860,816,095,258,
849,393,734,760,784,734,961,940,432,481,339,795,960,494,809,855,398,557,494,
596,756,259,198,916,443,676,204,868,761,198,025,369,946,636,317,446,505,026,
623,824,762,969,321,561,545,692,080,704,480,388,829,387,258,110,503,113,076,
998,907,493,324,927,895,269,036,590,713,237,157,612,044,641,534,970,864,527,
677,917,221,867,582,995,711,365,984,600,810,224,629,275,717,647,215,385,835,
407,089,155,546,563,158,122,253,807,350,751,645,720,658,725,183,190,420,877,
128,520,565,911,961,032,087,399,799,040,345,196,334,201,445,529,347,911,009,
956,866,152,075,573,129,170,776,835,869,441,326,393,288,426,349,054,112,725,
952,159,737,259,283,817,270,253,820,871,665,140,329,827,011,767,579,072,671,
030,937,148,871,548,435,238,128,737,403,330,308,297,099,886,356,028,017,583,
060,900,672,139,961,761,319,306,099,167,624,753,453,930,472,362,173,294,909,
182,895,677,512,977,649,219,207,375,889,379,618,650,497,235,337,025,113,375,
880,177,134,491,148,751,604,108,887,454,459,788,115,859,814,502,199,651,903,
797,557,294,267,054,602,060,754,985,746,656,204,471,456,568,839,952,636,212,
684,642,349,492,376,716,841,638,874,998,191,309,452,834,467,362,773,775,414,
821,208,346,912,190,172,727,966,335,014,545,438,381,607,900,941,212,110,069,
357,701,703,779,587,324,840,381,488,015,383,055,954,400,798,067,966,003,958,
950,575,979,292,619,960,744,713,432,292,102,695,641,080,233,808,387,263,043,
471,928,378,467,524,980,238,061,566,106,881,507,701,316,434,480,888,607,636,
350,966,771,319,200,152,115,445,166,521,765,996,674,621,263,693,475,048,163,
392,928,378,912,699,539,680,785,453,400,484,935,054,892,001,656,226,368,015,
252,359,360,469,457,818,536,622,163,527,692,182,570,966,332,508,844,556,998,
060,527,410,772,948,117,388,702,562,920,610,197,245,542,625,427,862,253,592,
851,099,934,735,587,010,743,344,682,044,430,041,433,792,588,263,816,455,541,
850,116,164,450,731,416,369,163,327,746,029,010,152,005,987,676,294,537,880,
546,761,629,773,936,404,023,904,563,103,019,352,377,002,645,738,771,218,845,
928,764,670,945,278,302,703,646,783,366,940,670,408,217,843,173,653,858,794,
189,685,535,932,055,406,787,927,101,803,365,930,001,269,944,509,015,275,438,
754,560,579,171,854,302,263,518,020,099,181,533,876,931,394,874,544,965,623,
289,367,460,296,463,219,869,089,858,107,331,589,740,326,280,104,845,801,901,
227,042,126,469,213,455,733,727,939,096,866,209,622,532,963,958,518,392,129,
938,578,529,795,330,542,045,901,994,953,726,366,462,337,851,693,167,478,995,
851,010,175,199,840,242,961,592,281,047,487,958,411,398,853,595,163,730,909,
222,402,359,482,756,058,252,514,331,842,526,645,569,581,228,540,362,524,209,
207,997,461,684,679,682,012,925,242,082,829,566,713,703,625,840,689,081,811,
545,614,754,117,325,283,680,780,992,949,491,687,452,969,528,995,897,954,635,
235,831,589,913,279,355,954,234,670,944,350,393,689,687,910,297,618,076,352,
356,134,730,085,260,117,442,387,447,042,831,802,417,728,358,308,089,383,376,
974,851,873,549,573,601,073,847,985,249,691,633,994,890,028,550,669,418,906,
484,736,948,779,116,862,718,919,438,505,612,666,143,975,798,885,770,268,255,
660,781,507,694,086,050,213,687,671,207,895,307,191,381,014,610,775,660,641,
067,379,770,898,530,334,318,359,719,872,035,728,944,922,441,128,657,634,430,
149,458,890,653,395,212,906,525,599,812,573,366,091,203,667,935,648,720,123,
377,446,201,238,366,977,672,083,830,318,333,946,147,322,580,239,075,484,366,
249,340,361,349,133,287,896,526,239,556,483,406,183,847,955,006,970,273,687,
722,756,231,178,844,922,452,356,821,906,055,846,639,742,400,570,820,592,273,
050,669,068,684,512,560,119,023,912,993,859,746,837,218,526,951,663,061,591,
784,694,957,447,098,251,585,065,000,727,839,625,696,009,737,223,281,335,941,
764,366,082,437,472,919,024,386,998,499,258,850,929,704,527,609,038,738,155,
547,174,892,710,896,327,675,486,139,682,102,404,267,771,431,834,648,464,561,
998,499,844,634,018,837,124,216,267,537,529,049,872,095,061,992,004,164,328,
057,238,109,412,248,552,630,811,577,399,612,330,665,783,313,704,442,796,999,
933,676,031,129,719,058,931,883,717,481,396,998,244,668,248,157,288,996,580,
544,705,152,147,483,925,103,947,411,522,095,415,964,957,413,616,945,197,068,
241,854,084,544,288,003,970,974,010,179,281,006,325,611,962,339,946,883,198,
804,897,999,605,927,214,636,183,382,059,399,193,243,724,126,023,468,213,748,
060,181,581,658,843,964,691,250,726,508,408,934,789,815,575,498,488,498,599,
237,140,218,652,347,580,326,164,742,124,277,047,504,701,675,038,629,849,507,
758,471,858,234,095,589,240,676,058,038,067,866,910,758,829,294,165,876,687,
766,014,082,720,477,971,002,473,020,789,453,976,722,016,384,217,559,532,692,
477,810,217,867,670,111,008,710,263,462,937,733,145,936,602,827,384,470,706,
759,412,492,084,143,246,759,905,002,865,097,064,032,638,803,861,047,158,582,
950,734,493,670,077,345,696,838,513,369,757,553,850,264,140,454,854,377,550,
285,133,347,726,321,815,101,879,710,440,280,967,169,513,423,279,176,755,764,
939,025,698,009,215,756,916,936,202,936,116,756,954,950,215,021,985,320,406,
339,286,253,295,057,459,149,725,125,372,135,354,432,938,201,407,304,564,875,
930,952,826,422,730,517,698,733,168,597,109,609,482,172,871,411,932,821,360,
278,891,886,431,185,631,993,348,176,309,081,344,498,644,993,232,358,578,742,
237,799,228,241,279,606,355,465,837,024,230,157,831,501,760,843,205,275,218,
217,875,139,082,508,641,860,010,831,471,720,143,941,713,690,669,143,656,618,
838,022,781,964,206,373,372,765,998,156,915,201,300,175,721,374,405,695,929,
900,896,498,218,386,860,478,227,675,699,818,359,658,040,687,174,577,590,421,
724,935,649,929,389,966,794,063,039,981,257,790,317,545,417,180,431,559,355,
149,542,210,110,853,851,161,127,794,534,982,061,560,042,321,522,515,511,720,
507,560,473,500,744,334,366,234,713,651,372,474,957,843,983,175,817,194,453,
408,749,310,973,888,197,007,587,991,368,459,630,105,357,960,079,772,128,764,
121,490,521,920,623,124,780,356,641,216,242,115,713,853,418,509,813,420,604,
673,638,053,382,281,462,906,042,723,358,769,226,329,875,354,720,841,617,029,
478,175,174,781,407,221,137,488,829,608,518,991,206,391,295,088,032,343,859,
820,449,748,147,840,722,553,016,045,734,896,749,075,169,425,089,573,055,812,
981,088,992,629,615,242,452,101,855,309,042,330,203,618,263,698,741,914,116,
041,074,313,822,477,794,838,755,953,475,131,390,014,732,006,206,541,303,377,
871,387,339,332,491,749,635,751,231,248,845,848,785,221,987,895,163,330,441,
111,404,557,269,732,625,181,510,057,811,790,324,494,837,025,178,460,152,119,
640,619,008,302,174,120,926,161,756,152,387,950,514,246,924,237,756,841,413,
521,742,521,358,454,732,759,988,899,036,636,069,938,729,616,686,462,609,192,
719,696,691,985,022,306,472,758,911,709,915,540,892,456,423,798,070,600,878,
605,850,617,823,329,647,681,138,249,879,750,031,425,267,166,642,058,498,231,
277,838,644,159,611,549,322,743,690,988,769,239,118,326,975,286,155,834,663,
565,923,066,173,153,958,648,187,139,637,802,847,068,578,925,774,927,206,854,
386,084,980,604,097,554,006,274,397,617,399,287,041,238,160,782,269,450,884,
647,427,078,297,458,784,464,842,639,135,701,086,418,093,975,182,777,805,958,
999,799,825,946,112,409,283,281,373,557,321,822,306,491,782,053,623,354,768,
544,903,870,655,757,378,409,121,272,754,601,670,683,191,149,841,285,146,463,
505,672,816,850,624,531,637,149,347,480,737,084,667,692,367,000,148,767,165,
205,433,545,940,290,989,458,391,679,283,110,178,044,769,067,839,115,013,793,
601,320,905,236,839,039,321,874,959,315,782,040,904,046,630,523,126,768,265,
523,604,518,325,843,825,683,518,118,202,512,098,909,072,690,934,383,559,743,
803,627,606,700,166,401,791,976,933,469,256,345,169,321,925,222,031,635,622,
422,239,376,411,055,116,171,660,731,853,496,577,357,612,772,303,330,729,232,
994,919,950,368,098,871,008,808,054,726,578,247,675,720,469,646,445,761,165,
187,921,696,398,993,235,099,835,061,969,566,528,574,258,712,380,391,629,621,
013,397,805,247,690,396,929,363,061,424,063,210,373,942,958,430,067,785,525,
380,939,362,879,078,190,203,481,873,368,375,476,744,679,895,179,700,623,527,
781,407,240,718,773,463,205,220,410,361,935,338,762,046,312,386,389,508,341,
972,304,294,292,609,974,638,275,074,852,202,482,228,134,736,480,230,832,999,
347,530,413,714,352,814,595,588,696,924,308,345,921,368,115,475,616,848,327,
819,351,440,868,628,488,872,355,288,436,481,089,298,898,144,816,896,421,574,
589,809,555,272,879,543,599,332,195,592,754,611,661,334,570,111,224,741,722,
575,319,730,235,810,804,531,793,678,251,537,965,483,656,323,202,052,070,133,
598,494,613,078,904,774,314,114,645,359,095,096,703,690,042,628,472,677,982,
242,798,652,932,881,759,046,704,241,215,614,357,583,173,052,042,938,578,283,
904,388,564,852,779,523,699,007,035,904,277,064,200,061,945,134,870,404,865,
576,304,336,813,217,679,062,020,666,441,915,131,581,908,610,133,117,668,900,
307,628,301,681,920,483,916,867,525,500,033,173,648,255,093,037,884,274,544,
231,785,958,535,578,207,409,885,849,978,100,933,927,497,723,061,869,224,946,
346,773,908,953,229,501,992,982,305,397,481,308,546,963,968,651,334,271,196,
600,949,871,544,670,173,032,434,895,512,677,359,673,651,199,187,710,290,297,
776,506,027,078,969,526,766,898,180,251,151,109,821,349,434,782,148,042,814,
645,170,069,306,824,426,008,666,115,747,011,808,961,273,941,547,119,826,674,
571,669,460,731,801,311,116,170,455,940,907,661,344,274,987,628,572,337,764,
346,421,536,054,759,343,381,877,625,376,554,758,555,910,281,501,773,388,977,
287,874,172,620,101,363,875,693,043,955,121,173,637,134,578,339,720,587,580,
480,046,713,755,279,156,415,821,492,568,673,392,244,070,584,166,372,923,626,
443,584,541,265,524,038,600,935,545,902,524,027,425,998,526,821,891,288,586,
442,401,383,674,224,713,837,956,526,875,807,967,147,252,683,158,819,144,189,
507,031,436,872,610,764,802,922,180,136,147,616,422,121,871,927,340,408,542,
376,782,344,983,326,723,330,099,422,175,250,091,962,292,732,938,470,945,033,
265,761,186,688,077,476,968,830,752,484,774,363,298,249,050,627,890,686,688,
982,654,247,366,450,228,282,442,887,720,521,276,769,602,643,915,735,758,961,
126,275,010,505,046,803,687,018,912,937,098,151,517,463,047,503,756,272,583,
474,503,038,749,687,853,473,587,372,692,333,299,506,586,495,426,427,026,757,
318,195,491,002,207,224,611,293,707,540,798,408,542,005,947,735,069,783,566,
642,917,876,275,603,671,745,315,344,511,301,418,672,272,796,979,577,757,506,
384,149,584,083,388,624,073,382,077,162,873,879,840,973,203,449,660,278,385,
895,747,617,557,294,409,373,476,049,661,731,055,801,475,747,819,308,653,648,
085,577,099,831,881,116,441,892,447,206,225,676,250,339,619,157,764,004,198,
918,098,611,556,797,163,064,384,575,216,043,492,711,933,569,729,781,818,396,
728,286,680,971,005,200,952,064,464,394,352,738,473,107,555,132,111,054,377,
547,553,283,958,528,933,112,608,643,640,549,615,062,406,269,173,414,875,468,
601,420,495,338,212,221,170,040,412,114,365,229,849,805,908,654,869,310,679,
440,130,874,632,813,306,280,603,584,726,084,581,392,141,651,025,091,138,687,
447,169,522,061,628,344,395,035,425,472,029,475,235,929,758,617,152,911,010,
023,671,533,617,971,791,619,489,205,201,306,583,532,010,566,460,911,080,409,
093,164,784,729,691,234,850,751,687,549,619,167,693,245,469,260,261,875,666,
404,136,888,384,360,475,244,263,557,937,759,317,350,621,219,215,323,160,936,
729,008,147,283,741,434,306,521,240,821,313,171,494,291,658,285,726,339,256,
874,615,498,313,091,404,811,052,249,587,939,158,569,164,900,099,403,537,769,
449,535,965,152,275,107,600,250,082,006,841,697,192,203,532,181,593,341,923,
306,569,388,318,468,802,008,625,775,112,502,809,344,139,627,890,741,762,979,
891,300,695,591,337,284,908,657,390,734,110,196,438,398,301,168,683,125,998,
349,358,645,885,559,145,964,374,394,099,393,109,904,004,935,373,162,709,094,
524,260,716,249,891,806,740,114,154,525,225,864,700,970,862,997,512,470,844,
094,499,306,035,308,784,076,323,293,573,878,716,605,096,122,860,564,950,428,
030,161,550,564,748,358,659,103,658,811,453,724,582,617,519,597,979,140,108,
537,805,535,472,555,471,856,366,013,348,414,752,893,973,747,158,686,369,568,
134,862,441,943,425,532,478,126,434,595,108,969,291,993,099,318,239,036,113,
311,364,375,922,205,733,003,518,432,357,656,338,716,123,525,887,348,995,728,
916,200,835,191,363,936,703,257,664,557,666,639,529,544,015,186,438,710,151,
038,197,040,960,981,899,995,853,964,156,934,288,958,255,098,715,637,168,655,
830,404,451,945,538,861,697,618,834,876,820,345,394,193,502,124,006,088,286,
885,041,686,115,431,105,161,310,864,107,454,584,546,651,474,136,077,240,540,
522,189,325,555,913,689,499,890,641,394,093,693,232,756,029,781,817,430,809,
796,984,604,402,631,140,449,480,503,832,887,899,228,612,395,444,243,683,320,
310,698,920,469,953,399,057,162,161,862,791,642,797,351,746,051,131,719,164,
931,058,034,997,753,511,428,695,048,592,166,474,415,313,343,275,056,656,406,
190,462,805,707,937,708,502,336,578,496,466,810,540,891,899,774,642,031,113,
772,741,233,297,778,316,252,332,645,678,665,432,506,785,100,474,007,884,042,
871,186,295,862,434,025,593,373,516,117,002,003,888,371,041,054,571,184,892,
187,814,261,203,778,745,573,990,839,706,094,320,270,598,452,449,264,202,063,
829,265,840,231,567,611,374,962,233,083,495,161,713,320,135,111,461,182,258,
877,615,518,494,736,625,430,979,615,628,439,757,150,119,567,125,898,388,620,
860,895,216,616,102,179,346,836,523,983,303,007,100,830,699,683,006,809,125,
271,930,673,259,252,216,982,353,934,039,861,030,115,289,281,055,966,934,940,
560,657,640,951,540,043,581,577,772,892,885,708,628,300,960,489,382,466,509,
797,929,694,342,444,705,959,651,864,250,461,890,434,319,537,641,290,461,066,
368,904,051,338,854,858,563,815,320,824,936,405,853,444,904,193,778,190,428,
224,597,026,788,285,602,909,875,339,568,628,833,645,798,871,437,686,567,226,
042,910,084,303,079,763,533,914,527,729,144,380,886,380,872,363,591,057,645,
988,597,883,081,963,155,260,958,954,464,930,735,967,915,730,497,647,604,731,
419,956,171,892,626,168,691,735,796,184,260,794,822,748,257,485,046,600,487,
621,204,861,733,778,285,505,298,988,207,241,926,463,374,587,351,873,388,415,
684,256,376,774,450,164,178,774,527,029,621,844,944,345,210,245,466,187,079,
037,157,910,681,664,953,166,010,237,528,134,150,287,737,622,365,466,555,945,
325,912,828,938,231,042,086,162,295,110,809,379,894,048,179,792,634,155,332,
584,014,851,365,512,195,022,842,943,313,192,822,228,684,571,785,594,616,332,
596,957,040,696,525,929,300,396,862,744,126,739,553,219,897,030,291,198,206,
994,667,877,624,978,561,113,151,829,210,548,362,844,856,075,474,986,911,961,
677,172,031,829,828,235,005,612,005,048,901,986,387,755,986,268,245,137,444,
397,861,791,482,284,104,331,300,205,288,299,016,303,094,948,802,415,660,378,
620,528,241,299,104,644,675,403,180,575,651,461,418,215,321,956,584,142,798,
968,278,593,470,261,370,661,039,774,454,332,042,164,957,128,662,396,139,089,
245,502,540,025,893,761,962,838,936,685,877,793,379,634,305,534,111,899,480,
940,202,440,313,795,863,668,533,930,344,713,295,161,778,816,975,057,037,983,
318,866,316,214,282,965,933,520,849,313,274,829,306,291,449,044,289,439,111,
168,152,569,191,386,410,678,228,998,440,074,712,523,081,633,262,803,956,084,
768,994,777,164,226,129,979,893,521,533,728,428,196,500,641,952,517,861,341,
688,872,062,530,199,482,845,886,917,683,830,792,659,136,829,628,198,211,391,
447,180,480,309,588,677,479,979,771,499,782,759,656,570,533,948,383,699,700,
823,146,899,158,295,017,030,064,747,092,184,688,742,342,728,196,067,489,070,
376,368,864,268,851,003,384,312,128,328,549,030,983,135,249,675,628,565,811,
482,606,490,221,181,632,858,929,032,992,036,322,526,960,191,241,551,479,018,
825,252,788,409,056,165,396,845,227,158,245,240,420,541,905,427,899,110,075,
009,209,486,067,092,240,079,510,176,797,105,068,791,343,753,719,952,945,464,
900,908,025,475,607,019,658,550,299,859,339,471,399,602,247,483,855,421,876,
862,691,092,798,434,395,814,331,332,690,662,599,380,856,740,620,253,700,436,
640,665,075,872,810,010,994,959,837,611,948,827,947,194,854,001,704,553,676,
769,231,882,798,191,411,057,224,640,041,870,669,128,801,921,661,328,891,333,
762,247,766,647,969,939,927,780,174,965,572,211,039,135,372,461,291,505,104,
535,543,150,510,776,675,742,506,789,230,598,671,356,596,535,394,061,748,818,
475,971,699,467,286,487,970,537,575,108,108,823,269,418,120,383,397,007,500,
207,378,667,212,355,821,367,860,519,871,124,741,620,665,988,706,524,844,537,
318,706,792,728,337,127,153,928,089,973,249,212,176,930,134,398,286,361,273,
117,463,262,739,213,569,558,198,235,758,888,941,798,406,507,039,497,943,629,
568,642,318,141,923,388,924,856,278,940,358,334,237,660,111,014,265,011,820,
855,112,739,556,387,295,007,372,877,650,731,393,595,653,970,501,316,820,099,
841,159,835,442,840,246,887,914,662,188,390,773,530,302,453,807,009,262,087,
534,125,636,145,600,756,565,577,821,755,198,664,623,744,148,768,580,200,769,
683,168,984,510,254,111,915,687,563,239,001,356,566,447,914,310,238,860,293,
756,881,802,200,040,571,851,076,999,865,105,270,517,951,717,799,778,302,972,
651,417,196,089,155,493,982,237,145,118,727,606,579,065,828,332,478,144,247,
292,367,585,090,560,449,267,163,810,458,821,626,924,974,146,074,792,253,070,
911,681,917,887,077,963,572,439,914,994,264,804,962,164,083,923,200,277,210,
473,925,508,605,107,719,429,323,995,881,966,127,969,485,712,340,741,197,271,
875,172,300,797,948,012,207,521,258,899,836,345,776,761,925,359,987,049,730,
036,405,167,986,573,153,633,492,784,060,530,600,933,185,590,657,643,351,371,
870,220,048,349,118,778,911,021,557,923,200,012,661,858,526,565,965,775,933,
716,465,225,007,188,121,741,630,509,872,353,440,057,178,005,913,993,526,736,
510,894,821,275,997,546,996,183,180,795,457,213,009,734,551,924,295,646,615,
609,570,194,024,574,483,711,595,675,752,588,400,005,814,088,978,787,221,287,
823,403,580,969,537,234,989,982,213,278,989,027,590,022,501,571,449,658,216,
672,350,023,906,515,511,846,577,424,561,019,169,796,426,491,714,410,413,972,
328,460,271,322,938,332,633,366,484,392,531,545,472,070,525,832,466,575,640,
990,378,408,677,723,574,932,654,770,847,814,138,445,726,063,872,658,993,362,
018,098,718,673,094,449,789,732,518,641,951,334,118,360,728,343,495,784,117,
958,385,432,279,809,995,747,636,011,921,791,735,589,658,446,646,398,519,949,
293,475,349,186,791,304,649,415,439,793,656,240,357,204,713,236,148,971,998,
340,810,114,735,228,957,793,841,122,769,080,941,821,466,564,213,483,027,029,
442,207,455,542,129,985,711,312,383,861,019,285,397,512,412,917,850,716,254,
606,349,164,544,448,986,965,507,639,037,349,005,835,107,639,530,125,251,826,
792,290,176,430,093,230,459,227,458,739,319,638,026,152,186,503,949,153,221,
207,160,141,355,477,801,741,345,077,038,134,447,976,674,221,339,166,094,929,
663,053,368,353,981,367,325,527,193,052,840,194,097,859,805,141,831,776,344,
060,027,921,473,673,369,171,507,140,977,925,956,386,700,672,617,906,899,783,
925,719,555,986,081,985,241,537,058,604,260,025,852,911,654,654,165,214,772,
772,633,336,753,370,034,706,441,844,920,688,729,202,053,252,600,861,900,398,
778,522,025,367,579,239,719,815,967,141,794,471,363,421,110,245,930,585,387,
002,951,997,018,179,373,551,624,319,648,974,312,463,231,812,675,129,729,992,
542,982,695,113,560,458,579,330,608,305,127,001,874,398,366,665,529,722,775,
171,903,342,838,865,631,755,311,414,485,372,056,543,879,911,070,750,036,470,
501,198,767,395,462,351,535,723,796,634,364,341,971,906,745,119,048,840,362,
009,150,593,742,630,649,491,177,161,811,262,020,036,922,913,346,324,435,703,
146,432,524,522,591,111,762,902,296,837,929,176,182,190,160,851,986,449,890,
251,032,859,845,024,207,226,854,013,371,502,600,838,554,320,605,471,573,814,
833,948,904,406,986,352,098,191,798,435,414,265,576,836,395,322,566,736,188,
209,670,734,880,348,010,541,715,061,523,951,977,439,156,165,352,467,812,808,
230,261,525,716,545,148,022,888,932,665,563,688,208,446,056,555,105,065,454,
957,531,645,189,270,918,277,483,667,157,405,435,227,453,600,818,598,255,143,
632,557,153,259,494,201,044,796,387,932,708,439,034,553,152,523,898,707,237,
056,237,951,776,524,118,348,611,966,929,220,783,229,053,286,483,474,921,232,
779,276,663,299,237,310,824,251,401,670,801,316,017,929,725,404,080,747,402,
633,670,777,395,315,659,791,829,905,124,226,285,342,343,123,437,835,797,633,
459,743,121,875,586,493,688,686,859,792,132,845,947,145,236,737,991,128,759,
517,834,045,642,157,300,981,376,939,893,779,841,663,890,137,421,913,715,645,
379,041,121,330,226,406,601,647,893,860,019,892,594,600,728,042,952,922,870,
678,853,790,121,331,546,583,590,406,355,021,281,610,722,211,317,949,070,364,
416,055,488,783,789,224,260,868,470,639,355,428,961,045,311,116,677,603,848,
073,704,671,409,608,284,011,750,272,605,520,745,424,913,524,286,754,415,480,
823,047,424,670,780,429,226,858,308,892,836,182,212,513,076,644,501,298,679,
686,234,527,974,630,241,258,185,292,197,464,944,363,495,811,465,748,360,714,
633,319,055,339,774,727,652,179,900,594,572,218,160,421,983,798,870,221,231,
906,294,528,733,042,944,872,707,381,070,768,073,902,499,452,216,325,515,581,
009,546,946,361,029,136,527,551,045,149,526,466,443,395,859,831,828,857,451,
201,786,952,520,033,688,295,859,240,329,525,055,278,187,730,360,171,673,119,
426,561,507,504,487,192,364,661,324,843,847,420,259,593,431,818,666,414,134,
943,714,980,039,272,920,621,342,420,261,998,000,448,751,176,309,270,693,480,
154,092,433,169,685,286,106,015,963,837,822,462,962,292,107,497,843,977,290,
056,854,664,456,280,452,794,263,241,531,988,769,388,027,676,120,665,109,426,
768,388,492,914,309,461,420,436,460,857,556,898,951,309,938,596,522,588,302,
288,383,499,574,467,619,395,295,529,150,127,160,795,858,105,727,678,048,815,
723,983,641,636,887,923,468,730,532,004,901,134,196,642,605,361,214,995,150,
801,980,520,599,479,270,975,551,721,324,056,864,986,467,423,634,772,561,879,
364,001,882,980,853,384,434,566,284,141,093,202,350,130,311,526,478,690,984,
788,021,074,777,982,263,195,046,117,933,622,393,822,353,025,518,870,653,725,
864,537,372,201,764,874,840,776,600,824,072,272,499,081,763,914,747,065,679,
967,444,749,980,545,857,313,981,023,749,253,863,204,449,446,625,246,596,217,
571,974,904,950,136,694,052,638,468,989,130,508,752,678,014,866,387,432,874,
655,255,928,516,113,707,723,537,962,377,561,163,452,425,685,943,174,764,614,
235,438,103,469,723,097,022,239,696,122,099,366,323,760,898,964,062,287,091,
200,397,123,818,453,946,526,729,900,195,511,889,454,044,930,426,434,892,699,
752,541,088,459,614,354,481,690,808,804,071,978,425,246,342,008,430,347,028,
193,403,574,174,173,809,868,185,831,262,880,010,511,874,050,548,065,123,033,
160,578,717,367,995,936,169,541,779,291,802,649,854,176,534,568,042,602,627,
049,142,128,524,911,847,975,361,597,805,678,997,145,628,251,031,781,274,056,
968,310,514,710,420,959,077,031,254,940,815,426,497,282,347,834,091,132,627,
697,792,127,474,027,955,066,367,781,139,360,016,014,808,784,961,986,751,575,
400,330,328,807,498,586,793,518,065,275,402,859,106,540,521,493,964,953,701,
896,879,436,758,339,587,927,882,843,940,081,316,458,571,663,979,386,837,695,
916,536,804,807,816,502,092,010,939,742,054,874,206,155,137,444,116,075,508,
731,391,277,065,323,672,746,943,802,634,216,715,761,309,816,547,671,448,554,
022,227,645,278,497,359,757,530,723,210,746,644,081,931,110,064,911,403,314,
634,388,441,172,624,477,118,968,805,285,715,669,410,172,998,708,975,941,177,
403,082,459,246,795,648,515,303,563,191,824,439,429,024,830,770,633,905,214,
829,922,957,997,190,323,562,681,330,436,974,021,495,789,254,041,719,889,820,
059,372,766,685,682,281,842,005,934,168,868,603,011,646,453,413,077,211,084,
066,993,050,471,070,586,251,167,830,316,264,825,576,528,474,637,719,122,127,
125,442,871,038,586,107,895,558,408,805,955,109,767,014,879,963,896,324,671,
407,472,667,771,116,907,501,736,068,904,796,111,347,000,674,778,843,685,022,
044,058,106,500,428,784,436,494,610,234,307,446,079,901,193,487,751,944,346,
035,993,282,797,074,717,384,314,531,100,399,718,517,334,043,059,080,437,172,
810,810,085,278,318,626,233,516,072,906,901,850,042,075,217,172,876,070,367,
723,396,275,804,886,239,264,467,955,711,080,965,435,121,310,909,681,466,776,
251,739,695,471,736,560,568,153,440,013,528,708,144,098,929,487,112,934,435,
788,853,418,758,863,154,051,289,617,925,588,746,314,747,317,443,695,427,469,
138,915,558,156,375,118,742,577,811,647,808,708,324,374,680,125,398,282,076,
085,068,875,751,621,234,842,001,506,789,866,812,915,269,732,291,073,935,536,
370,606,869,374,923,127,280,395,188,307,004,923,957,782,653,968,244,284,121,
304,907,375,947,652,319,829,481,976,280,083,376,508,715,894,234,231,623,189,
183,023,162,121,485,980,463,369,592,441,623,086,847,681,012,725,371,779,949,
892,224,372,101,753,063,497,129,288,911,751,430,251,375,592,523,026,958,120,
531,702,388,129,906,157,491,903,507,635,481,950,522,860,068,651,885,003,801,
790,183,670,839,980,460,164,340,121,789,724,925,368,359,393,526,359,076,985,
456,740,884,665,404,426,611,435,516,171,467,079,634,524,390,205,503,074,375,
019,248,565,679,311,949,594,687,400,974,895,569,643,742,896,731,629,716,445,
366,880,864,755,397,032,062,183,754,427,419,939,814,850,749,132,193,077,747,
462,559,951,197,732,367,102,509,390,592,731,717,194,369,960,267,370,878,760,
240,692,226,201,953,540,406,175,240,727,857,282,206,292,455,270,457,574,496,
642,504,205,571,677,166,428,909,619,032,641,217,599,915,081,734,113,683,360,
016,728,809,570,610,465,846,534,490,499,621,413,732,807,426,111,799,943,130,
407,777,229,218,731,647,081,593,063,731,979,204,765,736,025,396,087,548,282,
638,293,372,464,405,836,313,641,357,009,591,535,285,018,097,930,742,335,925,
842,203,083,317,444,456,937,573,342,484,259,657,776,946,667,836,808,850,875,
986,873,209,689,715,478,042,154,570,714,126,703,110,805,108,274,794,784,810,
016,690,588,671,933,191,963,466,711,516,818,898,214,623,836,758,129,353,487,
695,586,790,455,742,116,825,182,017,718,347,215,779,779,057,322,282,041,406,
754,504,036,546,289,708,691,810,506,793,532,004,479,880,274,147,782,323,551,
106,532,493,025,773,029,813,926,059,840,216,099,636,546,159,987,411,967,505,
183,802,019,555,516,764,966,964,467,454,487,715,922,295,948,470,243,756,679,
259,875,203,236,952,344,495,214,879,625,384,185,462,941,335,116,509,678,290,
541,716,221,491,688,176,307,801,779,931,997,147,547,262,038,127,341,614,643,
140,947,041,786,812,666,668,362,864,669,061,928,934,887,495,083,213,824,319,
317,108,055,387,720,390,223,265,617,033,085,735,348,024,058,521,086,449,909,
323,072,541,724,516,330,124,176,955,282,278,657,036,819,290,839,168,894,063,
446,022,214,775,456,508,529,803,176,049,437,813,843,345,471,887,723,886,365,
971,304,414,010,369,021,561,177,103,781,858,710,005,527,223,279,533,824,808,
560,247,371,497,527,981,918,737,957,006,622,473,258,148,815,723,809,165,772,
240,024,556,202,618,357,590,827,622,723,443,002,292,047,098,210,650,240,316,
471,156,613,323,060,294,226,849,347,733,761,631,321,928,440,588,923,897,690,
874,553,532,398,949,372,126,333,328,298,771,632,169,466,846,962,138,289,804,
299,270,047,166,012,968,382,814,537,545,186,994,301,083,503,157,795,542,494,
185,423,443,723,558,213,019,631,534,738,860,762,621,199,231,717,319,926,526,
887,344,000,651,926,295,870,265,479,638,581,490,845,590,256,464,640,677,790,
657,746,663,856,806,970,374,883,242,879,653,603,479,388,447,460,146,208,359,
736,515,817,070,081,581,357,044,046,038,521,762,995,384,983,421,609,021,981,
117,661,741,527,537,388,946,409,974,878,555,864,763,310,698,812,235,171,309,
530,558,690,356,877,728,699,565,092,178,984,704,403,819,648,173,004,173,477,
012,712,256,969,273,685,923,088,717,209,968,089,470,844,853,833,625,557,322,
649,461,243,879,313,138,337,275,185,793,124,031,845,149,520,012,632,862,263,
613,597,813,042,659,647,113,509,960,318,908,672,588,550,959,123,850,935,073,
457,711,976,570,615,926,113,709,611,090,411,973,383,179,625,292,526,626,248,
147,373,161,346,293,340,491,644,978,979,448,196,284,903,061,832,730,184,677,
259,716,751,199,314,534,881,151,184,496,688,542,269,133,309,652,430,756,922,
495,137,558,102,716,318,647,621,497,908,511,075,480,272,030,208,664,098,204,
307,474,888,873,693,847,936,519,136,155,700,479,594,346,811,551,615,252,146,
881,679,055,610,576,823,522,635,978,385,048,122,789,886,029,703,649,510,185,
920,139,404,275,403,129,255,336,939,953,559,861,054,693,146,048,221,193,253,
532,667,419,865,082,304,478,837,392,917,519,839,288,935,885,187,342,207,321,
776,178,661,636,801,618,540,235,969,103,585,581,141,132,577,797,977,292,070,
175,934,181,165,104,778,575,381,133,586,037,704,173,615,860,851,760,801,831,
802,428,907,350,971,539,012,814,937,096,051,577,572,081,213,101,322,853,267,
284,156,510,789,815,423,178,297,704,340,666,975,701,940,182,255,760,742,114,
062,854,330,418,293,902,354,272,850,489,411,894,198,866,544,693,075,782,657,
199,876,952,210,218,342,267,232,347,418,267,505,390,463,869,663,530,353,467,
448,579,799,795,422,867,775,468,027,499,253,965,881,055,629,042,988,773,766,
950,982,083,407,667,870,910,766,661,011,877,480,006,025,414,598,429,219,087,
445,018,233,953,791,836,233,320,897,932,190,646,188,996,020,587,427,011,516,
069,102,446,976,980,712,756,881,906,186,213,090,946,663,859,775,257,493,313,
551,237,139,698,234,156,949,774,668,505,368,331,287,445,220,516,476,795,817,
590,729,542,200,222,663,316,718,013,154,482,883,604,152,192,413,880,313,900,
019,494,905,595,104,205,607,679,517,316,672,513,000,685,433,393,154,013,042,
197,358,720,935,515,090,111,607,302,260,481,354,569,299,585,091,152,195,508,
248,152,375,056,914,252,587,898,241,353,153,096,660,952,746,684,978,076,786,
511,053,567,361,533,358,051,367,224,767,897,251,258,407,915,423,589,529,216,
533,507,986,979,937,194,696,826,890,765,972,219,996,822,013,790,203,490,916,
933,292,743,156,805,822,704,132,975,870,588,249,166,945,235,525,874,542,981,
790,953,091,135,759,513,020,583,594,722,780,458,039,298,394,400,066,040,163,
492,936,166,283,095,973,221,141,272,054,136,788,664,513,596,814,580,363,227,
466,776,707,423,954,114,104,839,316,191,822,136,034,190,204,083,572,031,706,
666,619,680,091,171,695,504,952,402,935,971,443,714,649,384,206,099,731,843,
953,085,643,633,940,276,692,457,215,350,083,645,827,569,332,736,147,114,805,
102,517,233,449,042,308,614,404,949,316,462,183,703,943,805,671,616,716,888,
833,451,641,564,625,513,100,703,339,011,693,828,490,874,857,158,078,974,420,
339,755,276,531,789,648,004,714,350,828,356,396,027,510,395,938,619,574,488,
901,952,289,706,451,144,631,461,804,419,546,188,137,631,029,333,670,606,010,
031,320,121,161,517,947,497,589,856,546,599,100,542,436,101,563,380,859,316,
960,524,623,860,443,208,854,737,518,885,975,938,280,734,541,085,538,795,090,
753,093,329,072,456,274,800,529,227,878,317,511,216,700,360,614,910,440,581,
462,079,142,769,181,712,129,512,615,395,851,399,273,078,432,616,186,391,584,
754,231,623,905,512,580,304,413,016,465,861,774,335,023,681,088,628,038,867,
781,165,553,624,035,435,946,170,369,817,926,496,779,619,283,754,123,964,830,
671,555,203,115,971,251,496,076,308,014,858,583,545,494,790,865,852,085,655,
470,529,379,873,068,168,433,170,726,310,659,644,880,269,528,160,052,863,360,
600,637,596,440,259,320,638,671,780,164,265,977,816,795,475,603,550,636,518,
246,736,533,355,913,540,110,340,373,114,006,737,206,191,137,703,881,595,601,
529,128,806,447,661,468,413,801,729,273,116,706,239,017,096,148,007,224,546,
870,368,568,560,432,853,095,905,119,600,592,985,847,466,700,556,566,351,756,
288,138,483,749,113,757,678,717,110,692,423,676,204,326,829,277,439,027,569,
742,228,880,266,942,754,622,940,932,473,007,984,905,959,271,856,199,090,490,
279,753,971,998,750,706,367,553,234,747,026,709,289,173,658,215,115,468,820,
723,744,935,235,435,439,425,299,723,299,209,356,558,763,407,350,343,363,200,
584,422,386,664,113,566,051,291,150,496,701,619,675,006,953,091,174,735,957,
950,389,238,776,310,428,242,501,296,599,359,788,551,657,908,921,500,149,122,
640,473,929,015,858,223,796,462,576,864,091,854,695,061,905,862,112,693,107,
372,042,973,574,403,902,395,324,491,303,159,037,680,689,324,565,237,281,211,
592,627,675,882,061,520,170,566,109,981,052,991,601,969,032,863,555,608,519,
962,955,025,553,293,211,543,410,642,582,729,132,093,336,136,776,958,837,280,
849,800,557,610,341,027,734,879,973,860,907,139,151,396,314,548,455,710,461,
527,706,808,546,064,222,552,420,120,090,418,815,913,071,734,000,491,365,860,
665,724,254,854,269,706,016,525,655,774,417,665,727,782,947,642,224,468,889,
465,592,162,040,830,540,306,091,728,465,573,700,957,653,655,709,517,710,209,
817,194,086,035,475,505,005,729,192,416,308,080,985,489,610,097,819,606,180,
180,114,491,954,468,816,732,885,869,506,966,516,750,518,364,283,493,855,268,
731,030,552,478,679,576,318,087,888,704,317,037,862,515,532,532,687,129,838,
744,572,312,939,873,521,370,207,466,162,457,397,823,838,056,954,320,454,923,
042,751,581,786,646,912,059,712,154,842,454,198,446,099,603,303,863,480,472,
087,393,941,783,125,481,694,377,542,534,962,066,991,664,631,102,875,510,132,
208,119,310,326,067,112,419,448,718,069,470,170,038,622,050,812,881,783,770,
128,086,099,046,929,887,417,912,489,602,277,984,812,695,611,922,045,238,676,
857,265,605,293,864,696,132,387,613,204,425,956,035,102,300,621,507,757,093,
217,072,985,078,912,151,349,043,099,546,580,690,425,060,493,109,195,853,159,
070,408,040,003,011,070,287,032,004,060,623,625,378,402,325,287,915,356,049,
160,623,376,155,810,420,591,722,300,791,769,362,891,859,277,698,128,719,286,
202,878,299,738,836,714,494,526,961,896,624,395,853,089,809,166,429,344,312,
951,757,454,994,508,262,944,695,686,181,224,705,679,389,454,102,986,444,345,
147,060,971,689,717,782,502,026,130,277,609,135,446,883,360,550,011,399,191,
245,858,273,142,042,236,933,841,682,803,916,422,204,002,726,300,806,376,569,
707,200,715,913,120,717,224,300,545,837,052,009,756,283,081,403,545,928,949,
542,120,732,346,769,659,296,922,562,860,731,623,254,147,842,361,085,193,211,
855,172,637,690,838,990,983,091,225,235,191,200,321,315,503,826,219,744,485,
266,259,210,334,314,998,554,196,684,431,240,832,324,730,731,876,705,415,561,
774,637,546,069,875,723,881,083,726,398,409,099,317,007,306,460,053,367,782,
409,957,953,952,272,781,282,795,573,068,794,930,972,245,594,802,988,421,321,
178,455,780,438,130,438,935,878,219,764,805,371,544,056,635,082,912,218,759,
381,741,516,036,835,191,168,313,103,325,891,226,881,158,889,808,523,564,804,
459,439,427,023,129,285,445,142,511,675,873,848,384,065,635,944,816,587,326,
883,405,994,360,358,314,227,322,324,170,525,302,838,424,917,216,566,567,266,
188,163,146,023,076,470,700,528,025,316,267,328,931,162,242,200,221,226,025,
892,996,341,077,356,701,837,897,598,750,015,829,559,485,909,134,238,968,488,
027,124,368,252,577,144,704,055,616,812,847,277,224,526,788,765,776,890,227,
289,943,950,238,885,797,084,217,059,557,400,342,534,036,806,134,061,534,054,
781,019,208,608,100,342,128,209,562,739,735,390,090,138,584,853,808,588,221,
237,108,433,777,313,448,953,428,773,333,593,381,716,102,626,922,913,082,994,
520,402,102,891,107,483,099,297,974,097,791,666,011,961,475,419,593,795,605,
211,590,195,498,221,317,042,041,122,940,886,777,158,030,037,938,344,504,804,
317,326,542,379,566,634,804,674,662,008,472,828,451,948,554,952,189,023,698,
333,079,717,467,707,180,237,187,161,026,932,610,407,668,653,404,331,314,272,
085,039,898,401,167,665,019,383,553,022,271,611,385,914,700,613,586,310,250,
455,163,509,744,518,534,247,849,406,110,717,736,043,046,326,652,041,845,921,
706,808,523,173,740,278,521,727,433,997,013,498,929,397,206,348,272,647,628,
725,382,216,276,828,629,004,817,087,652,009,448,606,526,494,476,923,888,708,
365,043,026,032,347,017,618,730,644,709,382,758,225,771,274,306,883,357,052,
773,100,170,807,586,641,744,466,879,306,391,681,012,462,919,439,866,736,389,
042,874,882,917,371,424,449,949,350,194,985,058,640,596,957,390,442,344,003,
991,160,807,221,715,525,977,403,826,296,441,748,092,488,773,918,935,564,544,
633,692,986,046,409,451,832,410,032,113,388,581,423,953,783,418,212,419,918,
809,481,310,858,251,950,339,901,866,249,382,822,830,574,229,540,371,513,585,
682,703,773,121,178,716,934,267,607,966,924,462,604,995,783,930,511,220,761,
645,205,476,985,203,064,656,005,612,798,322,534,716,601,493,166,102,014,717,
702,485,019,950,994,864,443,027,924,402,668,208,717,873,162,596,120,983,842,
421,114,557,100,633,113,915,975,323,464,109,582,910,389,622,226,914,262,711,
953,890,307,097,632,864,430,086,106,606,231,384,382,852,701,192,446,308,505,
026,520,642,088,402,537,589,439,559,491,747,063,909,908,362,962,813,092,131,
456,243,786,470,698,211,087,423,002,869,046,523,141,535,351,796,660,218,773,
318,296,611,837,287,452,390,514,222,712,269,800,057,355,674,032,585,813,025,
866,880,632,565,415,428,558,835,349,587,872,246,219,628,544,170,101,050,097,
707,840,294,757,675,630,879,521,760,440,952,594,786,390,438,108,063,570,542,
749,170,528,865,947,858,345,797,663,065,450,356,301,002,793,536,113,982,318,
755,034,914,991,468,529,743,475,670,992,071,662,767,481,910,726,346,338,635,
192,463,090,582,255,755,011,970,428,608,945,480,103,841,929,858,087,751,627,
692,752,856,694,043,560,462,547,075,877,252,275,496,986,948,547,439,352,983,
718,712,235,182,600,325,859,019,439,930,024,873,918,274,217,078,347,120,905,
590,297,503,213,933,910,033,955,050,035,242,207,617,686,871,903,007,737,261,
020,853,188,130,573,425,557,823,592,902,470,168,833,340,093,590,648,980,253,
392,823,425,213,409,430,395,749,231,386,399,015,063,575,800,162,134,910,727,
725,157,311,167,001,911,185,793,447,025,858,931,929,788,232,236,064,906,067,
675,533,118,510,820,621,657,879,102,696,639,937,520,896,000,302,251,148,255,
035,308,609,744,600,447,833,937,181,589,779,153,901,845,244,316,505,360,158,
492,757,885,056,594,862,517,953,131,569,201,339,369,347,487,248,807,026,624,
929,036,468,148,263,997,083,158,713,205,918,284,618,117,505,052,213,756,763,
545,698,642,589,932,916,652,403,086,622,206,331,781,860,499,410,714,764,414,
193,541,630,461,905,968,651,835,240,482,887,864,353,190,482,443,377,875,929,
846,692,459,549,261,150,172,831,172,706,796,614,833,420,441,833,208,821,998,
749,321,969,136,240,599,350,349,219,789,175,873,880,418,919,211,164,491,229,
037,803,103,394,863,757,643,839,068,172,953,282,777,407,662,796,501,579,935,
621,015,377,548,513,402,394,448,271,753,764,216,794,008,868,317,841,774,623,
992,309,091,724,625,458,713,403,531,066,046,620,905,655,186,528,759,865,805,
296,802,811,591,732,241,459,898,493,201,886,187,868,239,386,525,205,829,222,
788,066,212,233,207,484,321,586,783,497,592,067,853,922,459,675,003,150,561,
672,067,482,223,775,511,748,207,229,908,765,392,700,418,494,819,748,635,709,
636,032,930,565,224,316,836,161,568,127,298,633,610,335,842,073,385,773,127,
282,849,873,381,770,650,595,279,832,112,770,901,874,261,832,030,190,873,807,
849,281,104,227,496,303,125,001,079,693,694,905,069,201,364,593,819,482,098,
057,140,679,872,396,342,480,076,760,791,436,639,210,265,407,031,684,907,883,
181,022,445,548,864,687,038,895,081,161,678,917,492,176,101,116,213,580,902,
758,190,338,428,817,942,107,314,244,242,567,089,328,554,301,481,638,513,441,
273,204,065,200,520,653,895,043,048,316,800,283,449,827,603,352,029,220,145,
892,994,110,599,146,783,319,397,416,686,997,162,429,954,434,975,672,974,700,
486,743,967,808,521,400,542,730,264,794,331,968,136,139,646,024,153,124,178,
643,183,702,639,181,959,024,937,748,624,402,522,430,139,631,904,958,777,986,
792,447,515,823,744,956,423,397,027,830,503,868,152,158,858,894,205,158,815,
017,343,256,197,492,361,826,251,416,138,293,651,630,376,988,124,785,966,810,
496,527,915,892,203,023,489,300,863,109,313,555,079,513,831,221,240,389,218,
321,927,129,629,632,314,640,935,110,707,823,936,597,351,776,701,356,280,173,
008,852,232,181,226,011,019,118,529,628,045,989,193,345,733,154,109,735,007,
625,339,071,110,849,904,897,532,064,519,260,397,661,209,721,687,878,997,265,
745,614,352,582,924,297,589,048,529,351,534,220,666,451,678,908,165,012,294,
173,975,765,688,910,011,356,469,994,719,991,673,858,553,535,323,260,684,293,
480,112,329,100,879,243,372,452,476,234,165,942,339,227,174,988,925,338,347,
509,226,840,431,061,287,056,068,970,694,057,721,493,205,389,086,315,171,386,
493,129,538,171,434,741,857,282,972,671,115,411,113,384,978,656,014,754,989,
666,763,577,624,188,454,593,810,675,993,851,678,835,852,133,107,270,699,540,
684,963,822,671,230,574,945,756,659,737,858,817,247,394,947,014,796,353,311,
511,692,588,441,789,059,532,091,867,631,492,258,882,933,130,662,556,129,066,
505,565,419,117,970,719,026,438,259,323,322,068,290,217,853,388,800,078,905,
899,512,477,687,341,504,428,992,712,424,259,319,068,009,194,042,652,144,301,
785,955,119,289,798,374,992,319,044,561,995,776,698,511,505,236,921,350,395,
906,923,348,094,730,153,080,933,354,610,655,749,682,022,457,946,800,278,158,
391,251,598,284,082,208,307,479,624,530,762,666,294,660,088,970,555,416,328,
628,110,071,535,589,154,949,177,235,364,677,300,522,240,857,212,291,501,599,
240,932,961,963,085,779,955,194,697,758,272,902,276,781,284,311,217,556,250,
534,079,920,588,025,001,726,459,974,869,332,832,230,372,570,193,975,645,877,
018,223,409,492,114,746,912,772,888,230,573,693,624,318,967,742,509,201,152,
986,597,533,760,939,113,485,923,793,011,985,119,193,995,819,928,627,823,259,
880,163,941,931,742,311,804,422,194,427,096,594,362,810,843,688,992,257,311,
207,737,924,732,757,747,796,524,512,919,732,883,834,363,997,477,969,613,969,
160,104,583,058,406,380,668,864,003,016,207,956,616,967,835,060,662,826,690,
440,676,456,968,910,095,916,131,162,784,981,927,998,035,594,703,330,446,443,
962,111,079,153,942,942,224,891,464,146,978,162,614,606,088,157,044,024,043,
377,799,216,450,808,507,415,833,773,069,039,046,625,047,408,712,732,947,734,
838,753,074,561,137,782,576,602,270,394,552,133,594,437,183,661,461,774,055,
199,292,061,885,527,428,393,081,167,328,298,104,942,429,293,220,606,142,553,
181,533,305,226,744,251,936,742,607,473,333,374,071,215,902,481,357,962,069,
118,387,310,492,498,048,783,145,621,027,310,042,385,978,379,409,932,386,235,
753,700,799,121,223,750,231,487,031,926,750,128,479,961,357,618,578,057,326,
967,342,589,503,314,037,617,028,320,542,187,837,860,228,951,563,606,049,477,
343,139,080,485,318,174,515,863,405,009,837,856,650,370,640,438,964,118,350,
267,480,825,288,298,799,504,665,713,751,969,094,126,887,474,084,672,135,980,
111,624,881,485,068,440,051,953,527,459,977,181,979,961,629,841,034,083,578,
782,986,082,863,486,574,735,549,672,504,029,638,154,101,813,970,219,006,395,
438,689,030,803,425,674,851,486,859,421,416,307,870,598,915,448,076,635,711,
855,477,441,925,705,168,689,119,301,490,220,498,131,072,253,278,919,164,995,
041,106,589,300,332,438,264,227,466,395,716,590,107,098,358,077,879,199,623,
295,496,402,723,157,422,555,849,867,269,964,995,825,433,393,146,988,197,595,
468,912,128,301,139,347,064,041,224,708,202,952,663,619,811,088,006,655,408,
849,267,452,010,658,425,489,994,685,893,761,711,308,052,534,837,236,614,198,
143,232,122,037,879,792,760,419,317,433,740,209,012,748,376,367,191,587,612,
230,099,428,567,785,258,815,575,373,611,079,519,154,927,663,154,282,221,385,
004,249,931,873,554,693,885,156,944,238,624,597,545,087,433,958,360,953,716,
416,378,576,753,456,494,255,209,072,940,579,156,111,620,902,804,481,233,172,
621,634,719,129,485,636,641,385,818,503,839,649,793,290,673,197,577,982,890,
793,370,119,423,272,538,751,444,314,429,382,119,291,288,569,333,463,735,712,
997,941,130,519,944,575,386,033,387,766,969,848,669,322,598,359,888,674,091,
348,528,762,042,915,495,231,779,697,460,571,391,065,174,536,587,871,126,607,
070,514,186,754,995,635,316,361,752,388,277,786,930,562,198,813,407,304,860,
225,510,376,082,254,334,679,629,630,890,375,391,580,960,537,379,193,566,161,
939,692,198,070,761,996,106,850,704,430,371,634,291,495,073,486,237,058,735,
733,998,232,800,056,053,274,016,520,126,829,936,314,252,699,899,925,239,495,
615,569,160,500,924,198,678,286,528,088,779,075,738,243,692,858,722,560,468,
996,691,388,932,243,147,271,834,233,449,055,427,907,480,059,341,711,290,334,
613,262,718,280,325,782,366,982,304,078,736,917,026,096,906,845,884,470,919,
486,323,841,756,762,471,941,138,760,483,568,936,137,330,451,969,828,609,322,
285,206,150,294,940,849,118,898,761,477,907,648,110,383,147,004,233,719,783,
700,014,588,179,627,050,987,962,143,802,997,058,423,760,735,090,970,703,341,
746,993,715,736,931,351,945,017,014,073,056,699,744,602,931,883,736,115,538,
251,078,285,957,973,194,856,951,843,249,901,187,567,446,881,335,512,830,020,
527,287,448,057,897,341,703,611,906,059,232,978,682,702,295,686,854,496,941,
670,202,160,393,570,875,944,447,692,070,800,982,094,090,046,871,244,334,200,
031,948,863,016,810,936,263,469,425,339,777,464,752,648,339,228,460,933,823,
264,839,341,384,208,131,435,943,420,111,599,294,012,744,171,863,694,489,856,
592,208,046,509,923,015,254,602,078,606,036,154,708,716,054,525,449,360,489,
020,243,885,601,455,196,869,223,603,159,046,375,696,654,929,765,056,317,762,
450,924,489,126,678,245,804,909,929,205,035,162,646,682,264,130,312,727,791,
623,135,143,976,294,706,318,710,023,444,938,565,828,692,008,973,539,081,063,
758,117,051,737,614,647,120,230,333,622,632,044,603,024,311,884,062,891,679,
243,581,889,229,657,181,131,265,233,753,758,774,400,662,582,122,471,978,134,
085,256,560,361,413,189,187,401,216,776,973,891,919,249,361,283,842,249,144,
777,751,360,103,711,469,690,185,319,955,159,929,101,711,120,922,193,984,616,
005,026,698,255,539,398,424,601,503,613,979,039,145,666,907,634,574,628,764,
288,405,155,607,753,518,471,340,505,749,864,196,002,700,087,306,888,705,239,
017,199,491,147,022,660,089,105,671,990,070,996,672,561,764,139,774,367,618,
630,283,012,726,853,897,685,219,660,286,570,520,780,330,833,510,793,123,357,
653,393,713,833,129,111,697,396,913,674,447,779,976,502,820,114,592,598,101,
598,433,724,523,604,549,254,407,033,745,217,442,345,012,633,033,666,197,316,
879,671,473,502,878,130,370,948,051,289,930,777,773,988,402,655,943,316,738,
157,083,173,133,624,716,449,479,287,220,254,492,725,042,114,472,797,400,602,
886,062,936,054,297,600,311,553,090,470,551,957,807,065,404,379,446,968,058,
012,944,131,853,772,747,355,286,803,941,763,842,472,514,421,278,634,490,739,
647,153,924,256,751,753,099,073,641,062,386,608,423,697,763,741,446,111,891,
389,474,602,284,379,583,254,549,718,910,084,191,972,807,382,209,087,017,570,
992,159,604,467,563,502,527,572,621,947,920,389,116,132,086,828,102,169,026,
673,507,512,611,521,862,155,596,067,474,163,120,176,578,314,917,295,763,675,
319,804,199,102,309,521,912,161,808,900,441,811,318,143,793,962,991,307,497,
285,392,018,137,908,628,809,346,346,509,519,754,614,266,032,506,702,882,459,
680,160,738,216,395,770,937,552,654,422,461,672,528,981,858,882,663,675,275,
607,262,579,463,482,534,942,782,835,176,584,729,752,600,681,177,033,698,841,
348,178,233,264,484,889,536,508,233,601,870,073,474,359,512,465,567,683,837,
706,629,853,076,867,512,947,684,591,299,762,241,982,397,350,894,440,113,748,
661,598,311,085,934,412,626,835,783,194,375,820,513,023,428,529,077,200,058,
766,678,842,123,133,575,371,064,737,234,681,145,034,529,234,030,076,067,659,
429,791,480,148,108,871,984,686,455,169,197,829,413,151,363,497,743,178,797,
337,183,802,730,509,777,951,902,088,946,597,148,594,191,176,994,936,494,280,
169,783,040,250,708,707,007,990,952,971,554,745,853,190,600,705,902,358,166,
615,328,724,464,153,321,239,977,742,661,230,096,342,931,220,110,035,388,688,
628,368,603,537,525,853,803,789,014,908,505,723,896,170,197,300,669,957,281,
650,955,080,307,535,035,669,752,460,627,704,027,985,913,144,981,296,350,855,
529,358,090,488,850,465,491,711,870,270,027,169,072,754,679,876,743,814,577,
957,635,100,628,373,618,511,588,575,035,247,938,474,829,707,048,749,272,851,
764,425,328,811,483,043,114,726,695,117,618,670,540,806,441,868,969,897,651,
439,771,827,442,480,838,278,624,798,657,335,084,841,191,190,437,095,977,565,
105,620,508,629,550,753,256,395,975,875,261,293,776,862,758,883,691,295,194,
823,931,451,236,949,508,827,507,932,531,443,221,349,188,300,239,945,208,208,
028,249,097,823,240,993,184,578,308,014,387,031,212,928,027,959,865,053,164,
580,721,141,607,249,498,449,190,072,516,793,628,402,435,554,654,190,065,600,
976,297,553,609,556,236,232,669,077,131,675,571,372,452,537,041,454,859,029,
365,382,645,604,061,860,807,665,589,112,054,528,395,291,535,887,316,257,984,
361,344,475,783,607,426,327,490,077,124,096,312,045,906,900,029,018,451,054,
001,243,329,168,014,109,987,677,355,610,853,801,672,899,102,947,960,796,995,
224,022,971,092,225,180,704,191,218,056,700,532,385,992,909,463,236,615,281,
755,048,317,212,405,278,215,915,718,972,819,524,958,311,904,388,363,935,546,
856,203,447,692,810,632,178,670,350,332,537,341,452,440,683,423,433,740,452,
136,717,753,392,567,009,706,344,498,557,165,287,853,892,908,437,651,572,349,
079,375,302,086,123,951,939,178,465,156,877,859,855,241,226,037,420,346,101,
071,446,517,213,424,881,305,524,295,010,916,524,767,353,185,068,058,828,676,
238,279,177,869,724,518,560,941,185,428,072,811,239,625,218,838,936,825,075,
135,968,995,117,737,687,475,845,977,732,945,907,832,265,368,617,424,550,260,
968,844,891,690,820,386,570,623,443,662,898,743,790,847,584,928,513,012,231,
739,885,693,278,798,951,996,730,417,457,554,595,430,527,273,936,042,605,543,
413,570,656,591,994,516,617,241,967,562,952,654,865,744,066,170,954,067,903,
496,990,065,569,261,089,414,894,973,275,891,718,167,529,677,439,761,508,234,
167,741,036,030,059,865,451,331,669,066,355,350,881,961,739,768,521,581,603,
735,112,882,351,348,297,176,957,144,967,644,188,759,909,445,381,612,421,499,
822,804,488,470,198,280,676,000,852,637,729,823,700,240,670,034,053,354,698,
686,870,091,041,198,803,932,724,254,367,335,905,416,133,930,200,135,456,454,
088,888,879,280,652,189,571,241,300,654,497,053,607,133,585,779,964,897,116,
546,685,851,351,213,084,533,530,954,708,305,202,071,364,463,309,924,228,216,
727,086,911,466,587,243,062,986,573,338,060,802,243,114,114,029,737,823,990,
286,834,617,266,643,539,919,334,855,233,313,684,515,954,173,960,280,557,888,
533,410,313,033,418,734,481,393,698,080,047,980,510,856,128,459,563,825,570,
532,785,446,914,521,694,478,188,641,563,120,999,093,962,597,210,926,885,511,
893,019,631,734,820,712,371,021,361,183,300,560,618,316,314,595,532,638,655,
963,639,366,015,921,752,622,358,054,062,300,067,946,157,334,432,244,827,215,
269,326,569,200,196,658,946,103,251,957,546,170,379,352,967,437,550,825,896,
660,536,998,414,129,319,659,691,111,833,028,354,182,301,122,409,585,398,410,
165,108,990,306,987,360,526,712,117,867,560,685,382,599,063,456,424,690,728,
144,471,439,638,044,138,233,706,350,778,599,529,884,492,538,951,703,726,416,
894,162,370,274,915,598,446,531,288,980,656,678,430,527,392,383,678,232,088,
249,660,925,102,296,592,469,914,327,670,080,080,388,951,466,392,568,761,086,
034,814,088,519,215,806,964,618,875,683,680,798,456,491,080,985,333,990,856,
463,831,152,604,669,811,945,972,198,569,701,548,772,569,997,673,208,961,506,
572,097,895,359,479,842,651,743,419,068,724,800,750,255,517,084,959,186,756,
162,345,545,784,373,112,091,772,309,374,266,368,350,661,292,392,170,694,753,
023,658,803,776,212,322,633,357,883,096,463,053,460,585,712,886,620,028,958,
752,781,069,817,182,500,684,544,352,220,561,410,797,435,787,853,835,685,806,
666,596,883,795,969,073,384,515,151,653,875,048,311,175,238,657,575,945,674,
099,977,444,904,259,412,883,404,779,728,341,220,329,227,094,635,767,857,661,
906,434,520,875,459,790,566,285,084,663,158,024,503,928,704,279,361,609,976,
967,802,237,734,630,235,668,369,789,874,854,628,058,038,482,466,290,081,137,
767,456,557,196,324,112,378,703,922,006,981,644,306,813,798,846,862,262,973,
764,364,116,542,582,396,960,883,333,343,519,954,898,919,840,376,034,191,862,
799,148,212,661,263,361,211,862,763,971,723,501,029,812,678,972,461,086,973,
628,918,816,423,481,087,871,481,405,293,571,509,187,155,558,136,588,975,289,
758,439,509,001,233,468,119,279,541,174,932,189,672,489,094,423,872,817,642,
934,239,787,325,735,804,979,468,375,821,743,475,526,365,948,116,785,373,166,
576,233,228,629,231,629,577,030,636,791,732,428,844,121,592,431,086,524,902,
530,380,534,572,107,165,641,376,919,035,309,198,009,091,378,265,542,607,656,
083,927,701,848,374,863,955,643,411,417,059,419,815,866,622,329,855,705,561,
849,902,177,020,533,547,926,014,523,310,617,694,254,259,120,764,051,528,457,
035,781,027,827,260,567,380,491,499,667,325,165,231,118,112,107,245,918,983,
909,755,470,592,565,951,373,794,462,999,405,243,378,570,108,106,870,738,074,
537,312,407,076,980,153,059,840,346,149,940,833,127,855,245,473,299,042,539,
908,250,641,551,805,615,413,433,482,087,656,904,928,098,786,881,782,827,482,
439,292,284,949,210,030,138,162,215,852,653,493,316,638,054,735,583,595,011,
946,605,464,619,819,620,613,905,005,846,979,258,129,369,416,503,272,556,377,
827,062,160,554,718,530,159,378,416,120,653,822,821,630,439,147,181,765,690,
315,507,715,900,529,140,919,993,277,922,036,088,474,702,570,518,428,083,403,
180,425,418,118,994,132,956,549,270,184,167,140,035,300,356,265,900,285,442,
824,247,633,869,630,835,636,558,554,034,741,722,329,562,807,559,137,038,938,
842,939,470,773,734,372,694,711,299,821,087,214,452,304,338,988,307,063,215,
873,018,317,073,087,341,819,472,583,946,616,662,160,110,897,341,226,583,615,
062,056,734,259,609,236,870,711,868,668,291,380,833,597,552,421,211,714,732,
862,330,280,345,840,369,287,277,429,659,575,973,539,739,936,987,409,936,364,
933,660,277,913,155,398,173,960,934,618,820,102,276,549,432,593,386,369,174,
907,147,466,202,431,994,892,235,164,984,156,256,042,000,238,714,853,288,554,
013,191,801,693,337,525,145,778,772,194,860,603,495,411,831,258,741,382,169,
954,102,189,573,881,506,452,473,884,161,527,119,614,737,192,273,036,651,098,
256,842,561,250,074,646,038,419,594,225,240,334,745,451,648,534,079,954,305,
494,427,918,420,281,838,684,448,091,404,009,493,943,306,296,524,158,541,043,
546,444,208,462,470,202,534,107,753,485,379,545,487,983,069,530,585,400,476,
582,688,614,105,631,937,428,199,059,299,936,769,925,443,486,363,163,880,532,
499,728,367,383,264,948,500,491,938,581,369,230,486,622,905,472,599,564,852,
559,657,852,726,705,934,716,234,183,136,162,267,211,109,045,231,695,407,771,
571,836,396,936,323,627,597,973,757,729,633,876,920,121,518,799,526,703,383,
773,251,674,611,157,176,241,543,522,839,831,100,585,669,398,021,975,751,897,
473,228,473,769,202,180,900,677,393,072,075,260,887,980,244,011,292,731,041,
735,272,702,230,630,064,338,855,307,374,098,665,599,434,533,429,511,308,984,
987,819,474,137,691,210,807,793,308,489,442,571,680,685,511,339,150,663,047,
853,624,416,586,838,067,181,425,530,567,716,018,972,129,065,921,781,245,531,
868,577,980,742,442,302,114,307,480,890,813,274,310,821,787,081,242,942,410,
922,888,993,224,109,692,808,214,372,128,494,681,517,094,999,023,838,829,706,
433,605,136,539,673,344,275,947,777,999,134,307,038,038,857,824,393,450,853,
311,641,617,456,820,221,308,761,184,953,487,047,263,952,242,293,475,204,865,
029,864,224,685,176,607,083,297,870,293,931,440,326,484,163,274,747,731,362,
910,239,341,716,222,789,929,767,626,291,682,239,013,258,421,112,724,403,566,
149,030,874,271,720,720,554,145,182,851,771,234,964,514,393,093,508,695,268,
590,528,932,212,919,814,475,045,453,460,577,563,915,378,547,338,084,967,250,
279,421,849,008,992,150,311,519,780,031,716,083,246,660,493,268,795,482,438,
448,565,432,265,583,583,068,598,147,305,465,895,111,412,172,997,646,456,090,
486,697,901,949,807,692,066,850,552,934,690,112,320,434,258,736,377,518,650,
543,753,721,712,068,772,977,676,630,157,466,000,257,901,968,225,019,262,288,
472,122,014,363,263,101,348,505,655,574,584,424,768,740,483,408,869,108,017,
664,816,922,715,904,179,798,809,299,008,687,591,757,694,645,008,839,490,108,
693,231,313,306,644,972,789,738,630,591,200,638,973,917,413,128,177,262,920,
462,072,151,808,551,325,315,354,327,486,226,158,392,123,359,442,214,986,915,
035,904,489,659,450,054,738,350,961,380,284,243,060,168,153,580,781,678,797,
019,349,787,920,586,414,541,226,350,247,094,552,061,109,244,928,808,049,358,
413,013,682,238,052,375,645,262,492,103,589,143,763,458,322,143,693,053,718,
477,982,595,150,562,928,056,760,996,824,615,915,269,132,885,701,317,659,685,
134,636,753,156,255,036,456,144,602,190,570,760,701,213,535,487,409,270,369,
114,754,193,130,680,298,545,149,307,606,882,393,717,473,640,328,594,562,265,
932,809,986,786,440,637,952,188,465,172,526,220,198,204,194,041,091,752,853,
935,601,524,758,053,563,335,796,656,430,270,301,054,736,481,610,760,966,856,
091,398,527,486,162,678,322,281,467,884,001,463,600,209,457,414,167,929,345,
730,554,983,935,340,459,986,668,783,647,732,325,838,113,197,815,266,465,545,
571,048,333,123,544,790,552,972,947,942,151,662,467,224,069,228,712,132,873,
361,644,721,587,971,394,259,607,325,540,545,776,184,607,682,639,289,728,680,
632,586,989,093,325,831,217,947,437,211,366,361,637,940,684,467,015,483,164,
946,247,072,219,757,503,813,384,012,564,011,289,232,962,951,765,663,186,312,
955,041,986,623,066,376,029,555,028,228,542,747,858,370,093,457,552,679,816,
149,107,274,297,795,628,265,043,013,450,098,516,375,209,784,694,187,921,878,
412,704,625,696,746,798,132,353,027,488,712,061,879,010,966,558,117,872,592,
264,773,882,818,821,406,097,277,454,025,879,011,389,961,345,007,151,911,745,
232,558,111,336,505,668,545,017,984,872,408,791,205,943,949,031,320,078,553,
238,394,291,633,671,287,411,385,707,650,703,264,110,705,817,452,760,215,348,
876,246,936,845,586,204,148,470,653,529,665,205,872,635,337,836,524,711,437,
929,666,785,186,979,409,831,746,506,441,699,627,226,236,077,290,805,605,532,
224,826,239,142,051,230,401,767,416,806,472,940,190,507,315,266,770,568,438,
259,767,257,767,825,714,444,286,687,584,207,165,637,392,161,247,147,099,030,
004,890,447,192,617,170,103,166,188,989,006,206,813,834,427,570,555,431,272,
993,708,412,840,503,372,183,013,331,084,459,224,599,258,369,296,367,350,726,
747,678,930,469,661,165,689,151,685,037,102,198,529,326,089,941,841,776,671,
650,495,729,035,047,598,445,364,959,584,531,082,465,924,702,445,904,284,764,
312,023,641,990,240,801,731,578,279,247,414,884,395,230,419,273,967,713,325,
257,776,919,270,158,319,314,851,593,253,148,601,196,742,698,823,617,346,449,
588,864,292,558,740,356,122,881,190,071,400,823,743,626,332,852,437,389,445,
037,036,051,693,199,003,799,945,546,761,153,123,481,094,893,370,732,810,146,
558,880,555,452,881,625,127,057,945,287,221,960,801,173,511,306,271,724,640,
643,841,463,635,444,346,291,696,707,928,960,381,424,454,261,116,955,728,147,
249,124,232,883,011,367,372,567,030,518,462,290,568,943,222,329,112,346,619,
837,841,312,492,366,758,139,252,013,796,830,471,524,191,910,553,714,945,493,
913,592,780,938,065,756,917,919,905,649,384,496,252,273,885,006,282,826,256,
768,097,558,556,192,611,763,920,674,303,299,341,318,622,965,316,105,753,043,
781,450,081,575,485,943,332,428,011,889,997,464,779,642,971,442,229,827,853,
301,560,506,240,981,478,758,434,982,957,372,855,935,103,597,799,183,332,702,
012,305,414,096,472,341,112,980,529,714,062,892,821,181,627,183,955,555,238,
418,883,124,162,575,714,916,885,980,648,510,808,899,531,883,863,947,463,452,
364,003,162,961,409,500,093,948,330,872,669,760,711,066,972,988,376,845,654,
540,666,923,229,797,002,645,198,468,871,612,239,679,367,199,983,582,125,053,
611,507,458,727,938,999,343,916,645,478,534,030,416,801,563,682,318,408,324,
674,545,988,936,906,148,887,162,213,992,912,085,600,214,350,117,396,847,056,
290,656,552,889,553,577,155,700,113,048,334,895,382,659,827,742,752,079,179,
441,056,299,700,679,219,939,611,624,222,396,091,988,408,725,426,539,407,662,
159,101,969,596,699,686,600,237,902,752,317,150,718,296,228,283,821,168,395,
334,305,098,214,201,220,931,689,568,383,229,125,640,149,519,880,298,741,227,
251,389,566,412,328,234,436,802,971,078,469,183,604,328,023,884,378,639,254,
415,937,947,843,819,756,944,533,154,433,351,661,411,119,066,110,785,920,086,
459,036,008,887,780,544,235,348,559,911,463,591,131,730,614,032,209,356,283,
862,052,186,084,249,041,109,958,338,944,467,795,686,595,977,397,311,860,182,
558,736,792,649,685,405,853,027,992,587,847,356,280,508,799,122,470,149,906,
983,857,448,065,478,267,839,156,579,896,158,676,455,083,520,026,659,933,776,
918,439,396,121,395,792,776,302,757,027,761,166,058,438,603,918,493,993,079,
261,990,506,223,034,148,338,861,484,618,709,538,493,888,020,797,858,260,439,
005,480,081,940,904,862,870,228,657,261,006,977,160,137,523,132,893,512,232,
844,394,330,776,475,623,747,056,211,216,997,112,141,729,100,011,222,152,223,
155,680,002,477,178,150,130,008,038,267,658,675,137,735,940,386,932,866,322,
037,163,640,688,550,327,352,630,192,948,719,904,378,122,087,223,560,679,459,
674,177,966,355,439,552,231,815,804,666,194,746,941,812,373,072,924,012,074,
724,511,269,194,652,650,555,149,767,274,206,825,797,689,102,571,724,758,823,
495,416,259,636,935,948,196,122,085,191,980,421,759,020,674,479,623,854,507,
812,028,145,897,424,663,696,092,018,452,240,700,953,771,393,012,696,521,278,
395,244,059,280,511,832,281,693,955,709,963,994,346,497,315,648,131,543,764,
170,765,200,687,416,051,703,651,789,970,737,516,250,975,370,874,421,708,890,
588,127,401,811,525,660,622,851,020,598,461,605,912,346,365,441,091,404,779,
029,609,206,961,058,525,477,020,953,594,335,853,353,569,994,344,173,179,320,
872,319,329,537,623,374,147,651,674,284,626,724,417,346,008,655,656,020,943,
658,848,137,993,592,257,632,118,077,945,066,597,828,912,286,736,927,241,333,
744,566,123,545,641,422,558,405,329,040,720,675,672,956,798,412,591,647,082,
212,572,311,473,818,417,049,622,289,783,072,198,130,413,535,451,580,247,258,
936,764,422,000,140,212,498,152,359,520,106,075,538,149,552,727,076,035,807,
573,190,087,247,448,716,315,201,881,342,888,936,004,267,334,951,667,762,549,
134,829,137,108,136,782,484,706,340,428,740,490,694,826,058,610,888,041,661,
555,757,575,305,119,646,535,901,777,881,790,070,152,142,772,766,716,025,364,
039,811,401,866,966,192,306,077,089,264,561,450,402,959,840,255,209,386,362,
798,602,149,313,170,460,667,656,549,937,879,150,733,114,576,215,018,625,294,
544,432,590,011,051,051,584,017,411,812,077,481,881,996,538,754,944,862,735,
229,142,477,494,596,492,373,638,907,035,891,274,806,803,422,051,569,434,068,
218,719,583,789,096,276,294,231,247,881,311,456,454,797,559,253,174,776,744,
692,151,488,894,909,914,000,454,252,793,904,970,573,836,024,740,195,123,958,
704,189,083,661,958,879,231,042,332,115,973,764,553,457,550,272,508,077,640,
245,101,586,107,052,747,901,566,082,644,528,283,714,699,624,013,836,499,858,
055,225,544,266,912,075,172,634,803,003,023,361,496,300,169,214,063,227,375,
617,531,711,208,879,376,677,793,081,604,570,890,470,069,570,835,362,973,117,
041,920,463,299,809,700,903,862,886,718,344,535,734,882,891,590,460,126,534,
033,397,888,990,460,582,209,146,482,171,199,158,229,540,631,491,977,968,305,
234,846,147,813,876,075,588,927,482,625,832,368,231,766,139,791,964,230,204,
774,842,759,577,761,527,541,299,605,226,668,470,279,662,929,760,061,343,634,
506,040,388,688,163,936,771,410,684,503,710,254,249,976,602,063,714,379,273,
650,865,005,520,337,013,747,286,883,216,426,757,585,176,690,191,548,410,092,
682,695,107,084,053,724,506,789,458,968,861,918,393,285,178,133,882,678,245,
379,602,788,705,067,994,643,036,305,103,509,766,114,224,679,026,882,459,459,
427,387,054,854,736,659,133,477,357,537,312,613,870,356,589,073,578,046,048,
767,308,037,628,332,921,390,356,087,834,508,957,262,691,843,811,924,653,571,
785,304,726,196,063,559,797,332,159,768,709,365,838,241,506,711,536,806,133,
942,205,636,126,930,963,679,100,271,602,013,333,428,905,368,748,605,945,991,
951,521,982,986,410,173,247,871,059,502,157,338,900,229,406,934,683,386,769,
530,871,415,042,404,018,250,383,021,377,644,582,694,497,763,187,785,045,198,
703,889,007,753,109,810,992,385,372,228,217,492,028,400,293,097,777,523,048,
463,666,852,478,303,003,942,415,609,664,653,045,573,922,014,068,407,255,466,
244,393,560,005,890,423,077,239,105,951,593,457,379,475,841,364,734,669,532,
505,952,356,975,361,394,799,503,418,192,340,973,782,574,859,521,907,439,835,
069,690,303,008,523,456,826,984,467,635,372,291,527,751,865,791,404,274,340,
833,858,839,137,114,856,133,716,862,105,191,662,151,097,197,407,866,234,091,
883,033,978,325,898,290,315,050,429,416,751,423,439,083,015,584,216,971,788,
232,000,336,522,342,151,445,175,564,090,044,905,388,733,656,243,430,103,206,
134,924,646,309,343,046,132,518,098,895,104,925,347,904,966,855,723,672,792,
373,774,701,696,713,730,807,383,508,667,443,522,732,248,427,118,569,521,635,
802,851,488,470,738,972,686,009,879,404,978,078,236,843,702,672,212,571,109,
114,044,726,122,609,943,904,936,437,419,011,003,495,784,020,135,205,761,484,
516,205,262,763,418,426,822,253,696,667,485,111,298,902,751,713,317,658,129,
643,105,034,348,374,680,059,361,515,618,742,315,613,502,498,621,909,785,093,
741,355,847,622,731,648,058,767,058,347,110,573,446,381,764,858,967,766,200,
828,312,205,068,049,685,956,155,960,041,355,067,879,285,494,451,102,288,024,
536,240,480,397,200,306,931,208,138,241,518,666,564,727,736,568,753,682,012,
129,386,581,824,983,441,084,172,034,986,908,487,910,111,168,589,066,385,073,
582,414,095,729,281,243,522,058,509,036,447,332,774,104,625,068,033,461,966,
303,915,940,846,387,421,069,467,850,426,837,744,191,728,638,121,438,295,985,
461,557,692,815,322,726,474,214,404,305,423,492,607,210,305,466,058,073,308,
668,936,847,665,097,896,983,167,284,673,754,371,995,193,964,693,901,201,923,
611,224,100,041,427,961,643,286,634,706,969,190,306,744,181,230,019,004,415,
410,576,869,478,466,158,516,602,023,418,874,839,966,111,164,582,171,022,058,
546,694,441,415,874,563,688,381,245,259,907,810,952,727,140,851,665,794,558,
307,944,535,150,686,327,613,619,953,720,703,791,505,963,962,480,752,029,489,
525,986,491,284,381,836,311,722,794,605,431,154,324,282,761,330,331,722,347,
717,287,874,978,954,459,289,399,581,159,953,845,795,846,886,951,820,881,598,
223,956,245,358,698,626,153,550,141,015,364,230,644,325,026,810,906,212,192,
793,608,874,801,505,229,189,539,627,564,227,977,432,479,547,582,150,145,381,
515,151,067,801,993,003,871,555,191,515,655,777,786,484,425,431,137,807,689,
422,308,953,022,110,331,141,028,417,589,331,555,071,533,062,238,482,579,700,
338,282,194,080,006,588,403,422,641,533,829,690,209,869,459,646,552,610,846,
448,112,926,618,371,214,132,395,704,280,652,590,715,112,047,838,964,882,457,
806,612,740,469,242,731,264,229,999,390,735,097,832,575,010,982,843,513,991,
819,093,513,977,687,924,298,252,730,919,096,873,512,254,669,961,904,470,904,
155,148,606,343,718,048,620,427,050,042,019,996,815,060,632,377,287,712,868,
807,408,164,566,817,173,482,021,698,875,809,247,988,673,695,535,808,117,495,
588,659,018,348,134,014,897,481,252,998,208,274,599,013,700,880,793,218,408,
419,374,641,792,972,321,402,980,826,149,720,879,577,286,351,222,123,579,967,
416,981,163,441,212,547,088,589,574,568,068,920,929,023,626,464,101,393,327,
974,969,062,859,193,975,513,092,758,864,278,806,151,009,315,706,050,184,370,
839,724,368,309,836,930,851,157,110,603,319,263,598,251,826,920,167,275,546,
606,761,952,887,236,186,392,405,717,975,447,267,759,949,683,036,270,708,645,
326,090,124,872,063,169,310,055,182,363,446,153,294,312,977,890,724,108,918,
130,573,887,944,923,847,804,129,671,636,332,322,511,522,392,625,635,361,415,
136,160,901,151,888,593,873,154,361,692,929,842,943,531,796,944,022,151,871,
905,481,224,286,102,138,066,006,332,503,815,535,698,104,566,270,660,603,973,
974,665,618,180,918,609,312,186,160,702,465,767,092,575,553,152,398,405,538,
214,833,692,209,594,007,889,400,906,413,630,537,059,740,782,086,555,680,017,
423,448,446,021,536,519,549,979,824,821,399,950,243,950,123,439,006,052,226,
158,050,271,009,596,966,869,483,503,047,162,616,070,224,567,959,669,009,018,
293,156,611,280,228,965,314,914,518,379,573,048,684,912,717,564,654,656,942,
800,093,832,665,145,102,461,662,283,157,085,193,689,098,747,985,350,795,457,
884,623,789,054,202,933,468,618,050,706,222,269,089,974,275,022,510,790,094,
676,929,657,456,229,292,158,441,933,359,761,079,954,931,788,278,120,541,275,
555,306,000,873,488,794,563,136,218,610,346,031,984,961,269,102,914,575,578,
304,460,173,811,119,281,895,843,512,247,035,980,462,573,146,761,810,089,723,
746,889,664,255,040,811,883,779,310,595,176,406,865,177,883,079,937,038,467,
958,627,631,843,943,656,649,419,372,747,226,069,281,015,501,002,850,865,312,
188,821,269,118,698,900,784,242,052,280,318,913,513,743,234,336,079,015,408,
824,292,662,047,314,485,515,996,757,771,926,130,670,861,261,637,846,392,198,
999,147,278,736,737,398,658,606,824,821,112,553,888,460,440,449,151,673,862,
075,290,453,053,060,358,924,449,042,064,830,556,715,449,865,754,824,989,463,
654,030,671,899,451,420,560,394,529,568,208,170,702,126,651,430,961,454,879,
262,029,517,177,367,579,347,456,749,746,556,758,322,666,785,211,138,078,157,
962,735,667,573,852,178,552,812,936,656,589,023,923,162,840,554,150,456,162,
594,523,549,349,738,550,636,854,368,507,876,190,631,332,706,945,595,464,566,
253,977,220,448,958,954,567,180,585,941,227,755,602,197,045,981,786,380,087,
215,905,626,812,319,061,475,900,458,242,521,262,298,373,851,678,137,845,399,
201,304,687,227,411,904,638,789,554,567,421,168,921,052,160,801,487,851,538,
156,124,932,145,831,678,605,872,150,675,590,918,120,782,052,518,047,680,637,
568,558,253,378,805,266,681,443,308,701,938,040,513,989,942,386,347,256,862,
703,322,858,340,702,717,245,778,355,814,764,890,596,233,973,623,231,938,349,
352,226,805,425,842,591,878,605,642,946,705,514,335,581,299,738,059,928,168,
030,980,385,312,069,226,399,111,974,620,498,337,000,076,907,569,020,272,288,
512,244,002,561,437,336,898,296,283,273,631,736,288,826,663,404,744,993,548,
474,178,257,089,991,477,346,838,216,658,853,231,998,549,310,265,279,715,755,
716,278,623,382,698,034,131,464,507,436,285,803,527,195,936,081,605,929,529,
383,483,723,270,700,741,491,985,830,785,480,253,172,597,083,850,089,005,935,
339,056,407,824,759,846,361,969,178,954,349,426,970,092,809,422,364,743,557,
972,968,089,390,096,262,422,308,457,680,394,972,728,105,958,774,428,053,349,
455,462,932,570,754,883,579,341,459,875,191,374,120,740,262,419,474,837,369,
686,931,861,454,777,688,112,574,655,540,349,440,599,903,078,093,469,672,175,
010,087,151,627,841,777,481,918,129,979,774,396,317,299,107,019,072,532,627,
306,699,365,380,718,743,646,640,351,376,824,312,940,510,996,293,809,344,236,
893,349,259,168,810,714,221,709,484,868,741,109,078,103,065,783,644,421,055,
175,500,546,146,358,692,546,126,443,602,130,091,988,831,516,038,513,752,155,
552,248,493,626,727,508,807,333,461,776,881,949,030,110,180,021,971,855,373,
196,530,863,773,845,581,663,327,286,694,840,699,723,303,505,853,167,487,803,
617,747,705,323,353,952,696,239,917,724,954,633,082,565,804,871,755,648,568,
270,113,767,139,617,512,261,091,331,705,822,663,866,421,768,967,568,166,840,
258,798,049,554,704,643,630,489,485,148,737,877,006,820,115,118,473,383,746,
464,570,759,305,609,102,733,206,011,100,486,481,961,806,731,375,378,509,551,
618,825,452,629,073,282,795,859,370,399,830,151,902,883,083,454,346,537,649,
162,720,119,891,018,619,034,964,041,493,570,696,742,594,435,807,794,295,105,
348,720,540,315,592,716,142,662,185,935,877,181,003,347,924,597,981,782,031,
930,050,829,529,336,512,110,662,852,160,465,805,845,473,469,591,091,098,869,
349,601,631,285,845,164,702,691,105,457,936,614,483,052,324,086,463,975,773,
562,128,547,860,231,236,936,568,164,741,959,216,045,504,244,743,424,712,275,
618,774,168,064,637,275,819,438,670,102,902,496,866,333,100,754,480,334,350,
492,682,320,971,941,791,413,582,599,818,011,352,811,580,937,333,134,781,561,
766,297,372,866,577,499,544,896,650,063,532,266,617,098,449,378,132,931,269,
443,570,559,539,914,344,499,031,343,558,029,771,066,683,944,866,696,794,357,
120,054,570,040,256,913,692,886,637,223,168,959,056,804,189,039,850,399,480,
560,941,481,874,428,841,341,241,591,593,517,345,637,202,785,108,612,196,163,
705,063,901,094,674,718,103,719,576,000,080,285,334,731,478,407,451,078,178,
137,690,831,980,812,660,935,281,006,230,150,445,003,710,155,502,589,844,236,
339,821,037,750,599,101,215,015,199,677,285,075,590,217,833,968,194,233,211,
691,051,826,079,265,982,470,011,924,166,608,736,244,117,151,102,837,312,554,
809,455,326,474,654,865,401,851,958,320,875,896,845,060,678,248,247,522,845,
140,569,400,454,981,032,139,675,806,859,652,063,909,736,747,990,936,689,692,
476,625,858,420,402,244,158,006,807,219,321,871,711,040,444,732,944,781,956,
074,574,854,539,857,236,916,100,094,271,768,231,445,946,729,444,072,671,381,
509,568,731,226,603,088,715,533,891,462,974,895,454,592,764,907,371,461,612,
076,589,651,133,894,920,525,492,908,311,611,598,663,853,840,213,991,035,234,
496,331,205,271,500,026,288,679,270,662,527,020,106,950,364,343,462,101,990,
359,580,803,366,243,547,048,616,989,644,667,974,840,197,914,580,573,928,404,
483,232,978,656,054,801,796,955,183,928,419,665,399,932,565,241,835,890,447,
366,933,144,077,561,460,082,934,512,538,439,315,633,207,047,579,339,051,643,
180,025,904,307,318,992,400,789,944,216,758,310,639,557,807,816,719,295,780,
402,481,047,050,773,032,031,981,911,144,084,043,071,522,893,876,564,389,021,
503,133,317,217,455,380,046,432,749,395,323,678,655,458,793,069,211,470,669,
483,123,700,771,924,040,228,618,602,479,222,811,471,952,928,368,926,023,023,
367,176,488,987,132,152,636,810,520,459,368,758,921,698,419,631,378,865,959,
954,045,930,332,611,891,960,438,506,236,975,405,784,260,919,090,410,799,541,
477,970,783,080,784,705,401,047,744,016,291,054,997,246,310,794,354,057,383,
585,046,327,928,682,125,925,520,253,837,990,517,564,041,677,694,214,552,739,
332,087,968,199,503,482,396,395,566,864,607,667,615,738,020,899,362,228,395,
584,561,687,137,634,143,531,206,200,544,194,946,126,865,888,925,678,037,668,
138,899,010,069,392,318,702,506,863,634,829,662,957,691,888,018,253,336,764,
738,648,849,027,747,987,663,027,263,420,151,744,155,195,170,160,332,894,686,
528,310,836,840,568,323,591,849,278,315,022,654,803,197,083,333,962,380,287,
238,571,515,638,061,264,921,403,487,905,592,328,364,521,566,187,165,660,014,
975,572,619,870,912,474,380,353,674,852,805,909,030,220,457,027,898,214,794,
434,661,455,554,335,197,218,029,831,378,308,295,873,243,251,639,448,626,009,
062,464,505,838,231,239,207,483,498,178,910,058,824,484,184,356,416,019,259,
449,364,214,921,812,872,757,551,311,592,647,228,151,566,143,017,446,125,601,
457,267,209,591,044,140,190,579,595,113,423,251,834,221,416,783,023,848,410,
810,366,770,548,252,572,588,995,972,885,234,352,996,434,027,001,485,660,374,
141,040,133,941,108,014,301,829,291,330,160,155,640,434,945,051,261,409,568,
818,922,898,353,365,030,086,028,775,725,966,675,714,578,887,479,414,313,105,
531,380,113,345,438,531,001,745,860,813,115,901,391,761,896,439,856,857,783,
242,743,745,495,961,716,933,693,884,681,989,356,446,253,669,472,751,204,445,
667,564,561,404,404,175,628,967,488,757,083,271,504,945,381,679,474,649,459,
526,300,655,651,057,425,036,003,410,367,576,104,559,357,384,684,818,223,728,
163,927,646,072,656,383,063,738,405,385,221,084,330,189,859,332,373,706,998,
720,380,986,477,459,862,716,440,457,012,920,892,225,868,626,381,216,847,496,
860,891,747,011,752,516,479,650,685,034,320,326,170,331,907,093,383,335,793,
228,768,783,133,085,103,825,787,586,302,766,147,334,403,694,070,721,487,861,
410,902,819,556,297,101,622,323,439,150,207,237,884,378,671,410,085,560,480,
571,289,138,102,515,954,513,492,937,412,285,114,893,862,038,085,880,330,156,
382,982,368,671,750,990,968,049,042,868,829,061,429,582,893,067,604,137,455,
993,744,402,924,067,810,932,080,884,513,066,082,075,934,931,585,705,267,125,
131,875,660,272,002,837,972,457,368,390,804,210,796,671,897,646,890,025,979,
586,310,265,049,766,932,472,364,650,084,281,657,367,817,953,354,708,737,630,
937,404,343,744,666,261,139,761,340,493,751,498,304,739,372,116,258,913,618,
669,705,625,097,378,176,204,540,733,469,160,996,456,897,220,833,632,208,264,
529,392,642,218,484,425,170,011,675,584,397,765,348,230,068,419,421,463,805,
956,156,521,430,050,579,432,254,456,954,913,440,927,830,566,576,297,901,272,
825,935,610,498,125,075,077,070,370,644,089,959,545,530,871,587,047,104,103,
969,441,316,594,803,781,367,057,286,810,448,325,077,613,186,976,116,138,408,
123,264,764,721,505,682,490,120,757,671,785,586,306,719,381,679,346,742,245,
963,080,941,345,577,412,770,722,967,876,082,106,083,658,282,338,666,920,642,
535,896,028,444,525,961,780,801,051,093,172,349,873,455,136,227,275,767,632,
899,857,514,793,147,196,767,027,100,741,900,726,838,177,031,978,704,900,191,
781,852,583,788,269,068,621,357,675,467,466,586,907,719,382,761,644,665,296,
504,610,248,815,948,264,034,203,189,281,509,358,898,772,215,151,057,978,788,
866,364,269,188,791,403,250,512,802,755,631,784,230,388,557,403,080,079,607,
204,106,099,195,776,198,256,607,827,435,676,964,733,573,524,569,135,163,620,
492,524,903,194,499,523,457,713,859,545,649,415,216,841,445,971,385,680,112,
253,202,369,594,564,647,940,213,991,193,678,529,667,919,710,294,963,814,986,
048,066,395,346,699,018,362,566,202,635,877,035,980,118,680,692,666,737,325,
191,244,697,987,888,162,133,171,267,648,701,900,925,368,025,056,603,477,953,
481,526,916,929,712,107,369,825,868,553,613,417,684,053,263,041,141,936,846,
449,966,095,198,172,809,198,004,204,878,015,258,170,155,327,501,356,786,884,
969,093,877,499,455,361,006,554,547,126,285,665,768,398,446,083,604,174,324,
484,505,405,690,029,576,827,796,322,228,037,778,462,595,640,714,490,630,371,
058,860,100,492,367,328,729,578,598,157,030,849,337,189,593,341,535,526,450,
836,767,925,972,382,624,874,257,128,598,068,223,692,853,764,869,789,095,370,
402,240,926,744,376,929,098,871,218,521,756,137,174,463,869,239,151,510,475,
513,424,213,053,390,914,982,203,266,747,021,157,226,352,806,690,533,331,732,
617,615,620,415,580,056,387,099,247,404,340,020,884,791,251,481,297,526,958,
206,372,392,371,502,474,099,585,303,754,761,881,570,956,973,376,633,690,743,
509,001,289,296,064,464,339,214,267,919,813,375,083,052,020,438,195,581,256,
630,815,507,811,308,610,208,105,555,596,785,129,175,127,352,507,437,849,546,
597,891,245,092,322,926,345,473,269,234,207,214,199,231,926,407,709,296,667,
302,378,701,524,669,220,776,165,648,255,650,801,198,713,683,866,284,412,791,
447,615,893,651,035,874,429,665,519,462,970,495,356,669,930,478,179,627,003,
977,574,792,246,201,083,389,136,993,552,193,312,653,019,129,905,008,680,486,
934,488,210,799,776,869,637,229,343,695,983,010,780,499,023,086,064,433,774,
794,365,275,948,543,546,702,125,441,477,359,598,466,062,191,628,514,945,855,
160,735,328,734,452,477,940,619,042,067,880,992,122,412,118,850,962,136,699,
004,061,276,260,151,563,656,315,954,154,603,831,823,001,276,429,687,730,300,
210,501,456,913,785,043,483,972,275,714,622,123,505,085,338,595,369,036,159,
696,173,227,942,613,672,659,769,216,799,306,088,006,680,231,935,892,544,468,
128,918,874,370,536,834,227,768,296,353,046,631,349,233,403,392,112,315,141,
628,884,911,317,048,413,076,928,565,345,475,465,268,858,935,369,989,566,370,
260,479,919,163,100,761,456,392,634,950,463,825,808,699,846,986,642,163,321,
639,816,247,258,345,974,150,468,146,271,078,948,634,942,975,373,924,739,900,
363,617,747,032,160,363,168,583,514,098,182,791,624,744,167,159,464,369,827,
548,034,888,601,207,573,154,085,867,070,118,016,411,244,019,378,364,340,494,
276,178,219,528,454,379,367,888,920,720,649,760,731,064,005,324,164,289,838,
407,118,450,698,734,148,918,663,294,076,673,106,742,209,045,566,341,070,372,
350,222,450,806,727,449,217,150,532,620,894,088,081,905,766,962,075,845,777,
410,348,596,001,068,491,182,128,300,837,356,837,376,990,336,830,808,453,362,
445,060,561,854,277,130,380,696,737,374,578,289,321,653,432,734,557,694,177,
375,605,345,660,804,983,680,732,358,657,884,853,978,636,889,513,574,460,992,
908,094,303,859,623,528,276,132,604,196,724,055,844,272,367,076,196,063,260,
513,802,551,310,336,258,976,749,212,352,693,468,214,558,073,770,315,314,408,
484,176,698,054,797,777,388,230,613,511,443,844,272,516,380,191,296,601,602,
158,872,834,226,179,089,140,236,362,627,295,256,248,101,726,820,340,148,458,
484,662,722,098,353,410,583,647,690,429,902,059,947,816,061,041,912,979,057,
236,971,748,589,949,710,767,756,776,298,980,231,982,702,350,898,278,712,848,
187,798,309,187,016,780,293,515,948,322,724,931,603,726,333,636,008,830,497,
557,520,490,983,063,514,704,777,769,763,752,286,915,102,974,644,937,772,786,
171,996,302,620,714,446,763,031,880,342,425,560,024,505,097,008,626,395,815,
655,633,413,334,984,046,235,011,559,876,613,628,500,020,210,318,734,917,576,
822,775,418,041,875,332,929,242,256,082,761,153,271,389,701,169,085,790,892,
702,393,272,342,139,510,501,078,659,501,129,709,664,637,579,725,825,080,398,
183,511,834,418,532,849,723,865,045,201,013,223,594,883,598,978,935,475,035,
662,887,228,032,872,937,256,348,660,854,209,008,178,945,139,999,412,260,788,
493,950,817,550,993,735,020,031,065,005,747,925,639,861,743,593,806,666,919,
992,168,451,014,325,715,775,701,900,681,726,977,835,825,830,321,398,179,396,
309,885,252,700,208,790,403,794,988,214,605,779,202,410,835,665,362,358,993,
824,883,069,945,263,075,474,868,646,506,824,733,335,176,759,392,730,829,098,
026,487,447,244,195,836,114,374,432,841,721,996,076,535,429,117,879,495,369,
580,036,586,879,181,155,793,729,682,192,624,495,820,056,329,250,196,294,408,
683,234,453,865,569,845,179,190,439,370,904,959,513,592,672,523,736,358,048,
713,925,165,776,039,843,150,212,452,815,634,728,769,862,094,942,735,681,952,
972,908,542,207,443,163,069,029,287,798,619,438,055,925,390,405,753,818,864,
083,551,960,293,513,977,185,720,415,818,750,497,560,041,540,146,940,346,875,
253,774,916,115,038,215,671,487,485,485,614,116,178,961,998,318,494,293,416,
846,627,513,781,146,524,573,763,914,400,005,031,025,396,429,211,061,617,933,
443,819,572,497,679,105,566,390,367,228,594,752,704,336,140,566,360,701,528,
907,718,327,622,172,561,800,438,658,932,615,529,388,228,470,556,585,415,435,
538,159,614,705,077,040,430,811,781,244,625,440,052,214,206,247,388,515,440,
072,193,658,352,634,281,694,275,037,668,690,948,997,868,950,528,393,203,537,
623,120,485,182,275,476,216,561,164,022,149,925,410,435,129,317,913,088,620,
807,937,945,241,846,685,090,496,570,580,696,229,281,096,055,525,787,761,468,
142,062,771,955,522,020,671,471,798,777,757,660,262,969,955,912,556,172,231,
256,315,652,229,970,768,732,068,063,410,761,657,837,563,112,107,416,310,902,
978,865,209,736,599,948,987,121,618,059,183,118,011,443,388,778,271,861,056,
676,548,416,094,896,430,620,716,102,324,891,565,671,490,935,010,321,286,561,
313,715,861,306,371,211,707,498,067,170,517,105,952,828,645,425,074,340,713,
858,279,390,302,168,841,451,562,749,599,167,785,345,733,569,040,192,037,743,
296,000,435,628,606,331,914,850,837,597,971,696,153,265,446,157,185,199,021,
848,308,482,742,517,918,280,352,956,444,614,827,332,860,963,082,490,757,578,
875,470,057,231,634,145,586,798,138,701,809,050,090,990,067,924,638,830,240,
078,034,392,989,631,744,910,402,341,000,039,554,570,778,553,605,905,566,030,
296,321,940,642,580,712,457,271,381,785,679,180,813,557,628,145,097,195,981,
264,061,097,636,763,935,475,112,086,614,288,237,393,563,198,952,918,186,460,
789,690,866,177,466,040,903,842,984,777,942,409,648,749,027,875,414,219,663,
590,803,689,182,960,876,103,667,791,492,341,850,809,857,841,772,373,415,470,
481,223,855,671,527,905,658,547,986,766,787,468,794,128,211,279,537,876,920,
945,310,134,642,400,599,465,757,972,313,373,226,995,726,402,423,404,125,571,
008,231,617,261,535,879,444,977,491,904,656,669,039,969,268,092,912,020,558,
998,229,052,436,608,906,887,180,329,962,164,533,149,189,496,719,089,472,920,
930,640,558,613,297,127,857,178,630,306,537,333,292,435,530,272,750,279,394,
169,810,403,657,329,249,618,762,222,646,434,922,279,757,344,162,156,009,274,
664,964,727,818,521,676,712,297,817,596,362,765,653,894,003,721,093,874,652,
940,246,050,501,362,491,526,600,360,397,971,203,518,186,975,192,773,071,881,
490,304,509,883,408,904,930,207,124,148,332,557,844,257,258,502,823,861,470,
446,418,781,783,952,728,027,939,871,193,218,871,710,561,608,099,981,571,856,
673,007,224,389,563,312,578,307,106,450,533,372,527,087,064,941,300,437,764,
909,233,617,799,070,945,174,509,995,994,010,854,980,259,824,221,820,871,618,
616,008,438,008,868,789,726,199,281,051,330,989,916,208,086,426,872,008,487,
232,128,589,353,232,684,708,276,631,296,084,092,506,446,871,814,916,978,672,
669,573,844,560,671,279,918,496,609,250,678,235,944,499,885,494,703,426,654,
191,020,759,735,468,772,365,136,144,832,728,159,309,853,168,869,068,339,574,
502,476,544,518,005,030,093,335,455,255,101,995,213,339,029,353,079,460,883,
835,993,792,530,523,767,091,474,437,850,540,610,825,868,335,805,270,881,570,
389,593,748,164,923,049,412,058,763,962,151,749,628,595,258,730,677,140,108,
926,166,974,343,404,839,623,477,978,230,297,699,059,875,908,939,943,221,947,
683,606,477,004,762,986,365,930,106,563,263,191,640,954,819,789,572,024,352,
864,559,086,239,918,767,761,330,338,752,621,403,708,768,823,175,420,575,474,
703,410,778,065,313,233,559,326,546,326,343,064,759,678,895,453,424,228,302,
465,379,833,052,090,048,027,140,545,941,767,281,875,509,231,475,876,388,437,
713,440,493,617,393,649,441,320,558,841,579,054,828,714,052,155,821,078,010,
657,358,835,876,557,788,365,767,555,931,065,429,933,965,320,203,973,057,670,
253,015,688,525,112,535,211,771,990,392,359,282,645,983,979,883,355,901,300,
972,475,118,593,050,618,762,847,797,321,221,394,394,179,498,182,349,674,023,
805,222,771,942,424,382,882,272,525,306,315,906,928,875,934,297,767,522,619,
172,789,684,541,412,864,140,355,970,494,377,669,121,624,553,350,101,948,021,
584,656,957,945,512,564,350,520,152,935,808,479,728,416,371,957,990,146,570,
955,634,281,720,798,065,188,910,495,048,538,893,818,852,925,489,831,609,769,
342,831,377,407,758,453,321,379,596,204,001,970,172,510,276,396,649,634,066,
838,997,068,952,542,803,839,365,681,137,811,149,189,202,708,164,037,859,608,
042,276,183,823,793,179,502,709,762,710,016,628,962,742,357,476,061,005,552,
447,468,879,367,823,589,802,424,847,726,505,047,409,711,079,381,696,811,437,
978,507,452,990,657,367,529,150,152,873,590,839,989,689,399,820,922,316,304,
569,421,571,026,218,152,232,396,403,549,958,988,088,962,836,599,249,684,412,
152,363,652,179,897,386,724,504,453,788,520,839,656,841,936,355,106,190,239,
294,291,757,305,026,808,543,458,979,979,640,749,265,015,356,196,123,714,098,
361,166,307,359,633,577,203,771,880,152,206,856,114,098,393,024,153,252,970,
999,365,659,198,690,220,474,423,255,278,392,293,845,743,165,356,242,498,858,
327,276,478,265,024,765,785,207,727,374,887,983,984,897,821,862,248,475,623,
038,961,683,323,876,075,938,447,937,631,837,478,005,709,745,179,594,861,419,
713,645,846,269,109,363,703,505,832,094,243,466,493,291,069,930,392,180,364,
964,287,475,896,832,248,506,250,894,571,840,906,160,565,779,667,187,299,173,
170,101,981,914,747,136,644,103,771,750,672,370,663,355,288,440,769,200,871,
562,303,212,632,041,491,905,368,181,798,680,263,267,452,577,549,261,542,408,
019,294,437,431,601,751,371,451,696,836,810,375,413,196,921,200,914,997,804,
241,839,240,254,974,140,528,861,310,337,833,898,975,380,923,099,677,004,273,
851,478,882,007,500,193,763,886,010,440,608,893,804,090,210,816,738,009,762,
948,564,030,380,549,443,153,828,980,864,164,212,199,335,907,260,613,105,891,
320,244,336,053,923,505,355,091,359,948,098,615,676,431,392,868,604,834,686,
163,400,314,804,152,006,882,165,692,004,143,408,500,755,391,020,164,127,819,
975,218,165,580,483,102,360,961,401,781,013,222,808,713,695,940,805,093,051,
410,851,064,609,387,848,070,492,820,678,047,265,192,190,763,803,719,238,568,
796,014,801,167,156,100,638,985,345,529,091,402,912,270,481,893,048,133,908,
681,081,986,677,830,276,193,490,974,778,869,976,493,284,523,070,240,005,130,
656,051,665,598,879,371,339,949,730,407,099,950,259,143,413,821,449,018,250,
112,295,005,377,991,171,456,088,689,591,996,301,304,875,141,671,448,494,086,
872,736,426,388,559,861,998,784,037,150,423,386,514,480,585,052,815,138,787,
693,610,071,755,014,255,276,278,287,817,242,748,636,851,613,810,833,899,105,
785,445,496,642,025,625,437,213,343,424,927,419,678,307,508,551,443,403,637,
820,101,981,608,389,813,503,438,572,307,281,297,610,096,553,865,486,889,484,
257,208,358,245,114,822,436,356,340,628,604,514,807,781,594,184,675,365,050,
685,586,699,567,517,475,026,945,235,370,837,352,206,089,034,020,713,214,169,
276,493,489,663,652,179,358,110,683,915,840,342,358,117,424,213,637,599,700,
934,970,710,807,222,581,490,738,101,690,956,489,663,449,080,208,269,843,593,
554,013,086,283,202,773,485,654,114,966,673,808,716,972,490,573,706,384,193,
724,677,571,626,921,621,789,898,082,385,425,481,425,656,565,577,572,982,819,
707,914,500,674,383,251,264,064,377,331,797,858,670,334,495,922,630,707,326,
592,603,866,376,601,266,187,160,379,722,833,085,887,571,386,629,044,325,585,
215,569,509,756,491,867,289,875,404,266,915,404,052,454,267,225,503,557,110,
069,907,802,075,189,086,808,921,941,313,314,103,949,029,977,022,169,833,659,
335,285,357,650,661,140,070,438,577,715,469,147,740,447,318,315,253,541,381,
441,131,373,259,682,808,336,974,556,549,446,969,927,867,585,717,913,927,920,
496,122,735,738,052,129,553,086,221,738,914,727,109,515,749,434,030,998,186,
335,359,834,510,263,589,897,631,798,050,052,087,171,034,041,316,367,204,154,
361,201,523,246,030,743,037,267,188,855,880,097,000,409,659,821,063,178,135,
121,471,689,210,968,866,261,403,072,896,569,212,532,258,149,550,365,710,670,
984,174,044,554,844,801,232,615,162,654,088,858,009,325,531,635,290,612,660,
944,704,226,675,466,432,112,549,031,556,350,552,170,752,957,774,048,331,316,
838,546,734,495,545,487,037,290,016,858,278,130,652,917,263,526,074,235,143,
604,067,219,147,632,181,846,883,545,680,334,009,648,701,838,458,098,366,225,
749,648,913,726,176,298,911,664,027,856,485,130,727,882,035,171,955,992,349,
044,949,069,083,176,113,955,592,340,484,892,578,558,926,205,701,750,363,645,
397,554,393,283,272,373,055,400,676,525,020,584,587,850,948,141,468,172,873,
206,542,480,682,854,835,640,355,419,180,745,049,389,690,418,959,537,576,711,
521,782,214,016,600,619,573,674,988,631,431,453,067,515,718,712,545,247,667,
790,173,325,443,945,186,967,383,527,233,430,754,199,824,851,065,734,437,999,
308,068,752,488,236,852,538,308,261,310,890,508,545,678,425,658,272,011,382,
276,202,342,471,795,454,358,601,249,604,250,057,943,593,979,275,009,907,752,
717,330,439,245,928,290,416,726,414,330,521,965,337,317,718,032,931,416,424,
905,019,480,625,901,290,236,648,191,416,209,389,744,855,169,251,291,865,703,
215,835,998,193,820,871,696,632,348,259,783,651,899,502,684,975,577,951,001,
945,675,558,750,708,492,170,246,469,665,879,575,164,120,949,511,398,980,398,
824,950,878,001,322,781,433,996,680,793,943,875,235,420,430,742,559,706,437,
434,626,430,915,533,324,779,086,983,961,178,924,268,904,652,152,023,099,793,
865,161,130,431,280,399,239,982,069,735,381,487,753,592,486,211,417,252,985,
865,877,856,985,110,122,274,989,919,484,455,524,574,353,293,236,715,362,382,
853,936,318,428,843,891,042,692,233,187,233,182,536,958,464,242,110,708,035,
156,798,066,686,973,742,710,417,503,088,193,913,580,309,061,885,770,079,635,
582,345,049,940,913,034,856,721,395,378,229,345,284,796,868,998,568,761,675,
855,672,245,489,447,570,250,808,278,522,866,746,620,429,931,949,066,811,797,
323,927,080,616,251,832,172,843,037,097,932,524,224,640,664,723,027,277,856,
512,915,742,212,048,693,429,929,191,664,355,559,617,283,406,004,193,916,429,
689,926,401,563,468,804,161,501,572,496,427,075,393,274,848,887,229,650,152,
978,886,329,500,469,566,968,172,197,055,047,707,487,673,154,043,319,419,567,
823,252,512,719,594,982,601,993,489,203,733,055,905,671,138,876,940,070,381,
934,006,270,350,654,475,261,484,199,728,851,899,485,550,571,640,018,192,797,
149,919,507,118,095,611,704,727,448,081,994,222,250,088,801,936,756,697,487,
084,407,826,735,584,512,389,051,675,282,868,551,735,122,431,489,034,846,566,
924,249,513,927,741,402,773,188,487,611,005,654,412,474,576,155,562,634,027,
314,264,392,941,347,746,406,484,247,192,098,499,738,524,901,313,247,830,398,
338,865,731,784,387,195,095,570,690,547,568,897,537,137,475,193,140,608,036,
600,806,497,749,551,051,582,317,775,373,871,855,239,422,808,994,240,355,600,
358,430,458,095,576,272,197,826,466,304,281,847,426,401,155,827,701,675,811,
910,808,473,818,260,322,482,179,634,629,436,178,655,252,699,116,868,903,851,
759,082,626,686,454,533,385,030,290,937,044,277,806,781,334,772,316,821,145,
849,037,550,728,125,506,993,365,817,356,057,526,981,467,563,515,223,044,044,
433,195,260,934,491,225,290,692,758,977,126,114,529,133,680,274,755,626,830,
977,026,686,778,703,277,095,369,631,498,589,797,695,358,531,848,231,615,478,
730,206,835,301,925,120,315,131,033,964,515,179,078,134,719,071,949,841,345,
993,345,143,032,005,921,756,773,401,676,719,732,640,666,575,067,118,349,075,
952,218,680,412,767,388,608,095,806,756,090,960,343,058,304,629,747,416,812,
040,909,328,221,118,386,909,688,012,974,630,541,753,485,869,972,823,456,231,
278,995,450,517,330,940,754,372,669,393,077,207,141,122,667,358,253,458,258,
514,777,458,110,838,701,042,658,008,726,891,525,169,393,157,093,039,556,374,
466,885,703,571,120,786,342,142,276,819,813,628,734,899,237,274,060,342,674,
125,439,840,941,771,487,777,702,647,216,749,954,603,898,802,481,547,206,168,
737,059,153,071,652,774,267,641,716,094,410,314,546,268,447,622,983,820,591,
801,465,108,868,743,216,107,935,105,135,518,914,933,045,479,487,110,520,236,
736,381,962,664,472,273,038,462,643,391,153,178,602,921,306,704,249,106,380,
867,564,742,919,840,609,838,257,758,319,619,016,383,412,313,118,256,907,866,
643,949,345,243,555,116,803,850,346,086,024,736,936,189,026,025,600,626,623,
362,521,555,366,453,167,061,045,562,521,407,921,993,956,701,126,811,566,514,
257,295,274,489,321,273,856,822,739,142,819,522,563,931,881,541,772,707,335,
699,304,452,454,647,135,558,551,183,875,944,838,090,298,009,579,193,238,345,
795,754,379,306,165,645,236,702,746,819,405,170,454,104,715,692,445,025,001,
986,547,259,968,245,528,660,883,821,779,636,005,873,451,917,166,858,973,449,
580,799,194,323,620,978,716,593,630,669,532,005,464,584,907,537,003,500,631,
607,743,002,218,265,383,687,957,340,571,574,503,720,095,146,734,594,459,106,
477,116,257,243,710,165,068,398,596,752,493,245,206,268,979,651,832,580,419,
284,347,035,999,967,563,872,437,590,339,612,950,100,820,906,746,884,553,233,
504,883,444,175,446,105,033,598,449,004,883,394,232,175,720,555,805,718,748,
043,966,796,381,315,106,983,126,561,309,208,592,290,408,221,872,038,004,352,
628,213,742,476,047,505,540,672,443,411,343,821,790,465,002,184,467,778,983,
130,263,782,930,052,003,459,253,258,212,307,953,520,676,427,482,204,012,797,
657,406,873,540,205,169,057,919,021,411,602,897,740,859,300,349,063,438,038,
285,735,592,462,024,788,528,174,527,087,166,017,512,142,628,429,088,213,742,
001,029,550,931,806,634,957,351,558,118,009,971,470,327,591,583,728,998,105,
825,006,781,954,684,297,007,976,712,197,745,432,222,333,639,150,350,185,714,
009,663,092,787,995,279,626,595,048,651,893,661,362,622,463,299,043,189,046,
368,664,272,515,048,147,874,136,166,818,158,434,561,663,356,640,265,997,903,
558,165,841,994,421,313,163,728,163,418,066,749,291,239,958,791,781,627,829,
212,021,910,803,801,901,752,318,181,119,765,303,129,526,866,762,698,646,500,
443,901,713,177,841,728,570,697,337,962,565,212,102,107,677,554,238,041,883,
388,633,227,662,482,937,458,112,784,367,764,473,447,473,886,686,854,050,805,
749,933,021,899,993,025,922,591,041,549,218,291,908,619,642,420,679,393,953,
521,798,304,801,797,896,002,187,014,846,462,970,427,785,213,485,403,137,765,
929,948,565,622,208,385,447,204,776,977,962,284,524,044,813,367,919,708,803,
456,625,262,218,919,217,536,403,710,117,312,818,822,397,305,631,145,406,121,
870,827,653,034,306,834,486,581,742,315,316,241,186,062,395,923,549,787,420,
780,406,054,228,405,015,195,551,240,771,822,706,387,355,974,012,299,881,795,
495,373,151,253,335,681,745,845,499,446,023,523,335,415,354,922,965,445,982,
647,951,042,764,015,080,137,064,722,028,697,107,039,115,707,866,301,170,858,
404,341,313,033,190,604,080,697,698,688,248,426,775,224,418,235,993,006,126,
901,488,872,807,828,859,197,945,412,344,759,262,025,453,310,447,472,628,925,
475,037,628,630,187,502,344,250,180,464,777,759,832,174,033,804,787,913,487,
313,652,207,929,146,114,291,093,025,112,560,769,391,593,194,343,424,742,836,
872,106,100,719,404,406,503,073,156,601,792,594,695,601,320,569,315,752,292,
324,002,012,561,826,627,792,753,238,375,752,741,567,557,292,214,472,613,260,
466,971,690,446,069,834,825,815,657,217,425,602,258,530,637,448,564,802,442,
830,696,283,477,645,742,812,915,328,714,757,157,406,166,897,768,872,593,253,
156,053,780,033,664,103,912,677,201,624,571,832,916,881,493,185,535,111,903,
119,701,441,356,629,798,042,016,366,895,322,434,473,451,446,784,898,158,490,
476,669,580,391,085,345,460,482,340,363,302,026,492,814,524,099,990,940,824,
801,051,850,727,133,737,233,633,955,429,686,969,401,239,454,695,206,245,280,
282,175,588,840,348,672,101,064,052,868,897,025,824,352,592,659,262,295,821,
002,915,770,421,197,427,708,095,145,023,809,461,803,838,995,710,340,415,238,
688,478,378,046,425,052,318,763,849,157,104,029,802,983,636,207,739,240,099,
872,210,072,275,310,262,757,324,071,173,250,881,406,676,716,341,361,551,263,
408,651,845,591,517,274,205,807,162,652,822,137,221,647,026,339,305,133,182,
093,194,714,983,219,663,948,358,663,924,777,889,187,631,001,369,380,692,407,
684,086,340,971,718,034,243,932,005,104,677,188,832,466,110,699,167,682,291,
769,628,851,879,837,619,462,451,428,141,353,876,694,004,095,834,854,355,348,
232,602,730,764,080,785,741,174,289,900,760,694,400,496,703,950,458,249,936,
500,558,374,817,146,432,288,610,597,229,931,920,214,831,736,394,207,641,083,
134,978,894,240,506,070,376,092,367,781,006,025,487,694,138,873,600,903,449,
143,216,838,012,861,108,325,456,541,233,616,931,647,521,615,162,553,055,480,
337,719,451,858,970,167,021,540,145,568,172,378,758,397,957,478,842,379,615,
507,213,886,356,405,568,988,276,910,284,618,360,079,842,892,755,235,653,156,
352,354,961,504,272,325,084,702,952,339,600,969,004,555,115,412,880,637,907,
356,417,969,919,593,430,502,811,280,177,879,862,944,771,581,699,526,515,754,
439,855,503,790,170,290,059,108,784,971,837,109,694,994,647,600,120,757,973,
906,797,229,572,247,871,725,220,323,769,733,967,056,230,189,125,542,275,815,
720,624,966,091,010,706,034,903,546,437,794,412,938,916,594,762,144,474,227,
941,396,568,940,034,401,199,819,438,748,003,935,052,331,772,576,589,747,325,
326,435,162,307,266,798,938,305,717,292,544,396,370,592,705,746,703,170,622,
781,587,402,067,797,027,697,755,498,391,635,070,263,096,529,558,246,259,874,
484,427,927,689,853,764,119,552,249,424,323,591,298,514,819,890,710,621,859,
447,555,795,862,388,828,147,884,349,790,553,089,059,252,889,110,952,142,311,
222,791,378,966,863,414,380,506,808,902,762,424,971,115,036,056,282,531,308,
539,231,696,904,611,884,076,432,163,352,819,277,582,185,953,082,927,951,220,
506,519,551,770,124,240,529,496,270,377,556,974,864,737,385,209,391,508,373,
275,405,608,895,620,507,945,373,439,627,990,703,009,251,653,205,524,442,608,
974,468,978,089,712,036,437,029,505,129,058,427,762,644,209,968,292,709,040,
375,585,433,680,436,506,343,457,511,958,173,411,088,129,080,269,639,941,661,
093,577,438,290,411,696,816,718,905,919,521,476,908,261,737,551,429,533,572,
722,043,242,982,814,220,146,345,993,225,059,239,468,351,938,299,863,634,096,
629,567,611,589,922,907,674,147,478,269,279,597,684,207,443,360,985,682,780,
311,554,801,775,277,577,456,738,448,489,696,306,926,498,688,313,635,017,677,
651,577,602,404,313,296,846,521,274,013,547,208,412,531,469,281,681,778,695,
501,683,851,808,619,621,542,150,801,725,608,916,421,772,005,784,158,409,458,
497,727,799,625,398,413,227,976,079,786,301,369,099,471,908,414,132,216,652,
532,031,078,854,745,549,868,750,396,571,221,755,404,068,280,054,790,362,439,
762,706,024,373,936,507,233,701,962,174,007,364,217,486,632,065,252,633,910,
897,142,164,144,174,444,085,971,221,482,412,466,754,820,327,783,424,897,778,
048,370,818,379,593,453,171,045,927,216,925,993,938,897,346,970,770,769,372,
242,064,584,873,007,273,922,230,641,674,260,008,603,940,092,587,625,028,975,
738,180,128,378,273,307,009,310,955,854,186,462,467,980,593,042,449,332,399,
152,030,573,025,134,521,300,594,466,242,209,683,186,651,527,317,823,537,693,
109,681,985,741,862,459,877,139,391,078,164,589,442,516,220,055,674,621,614,
428,440,254,489,100,438,463,521,099,828,735,136,801,505,044,673,549,792,957,
712,293,597,057,477,259,576,284,524,233,343,105,424,918,038,000,701,765,364,
123,402,934,220,593,253,112,702,737,483,961,120,956,852,471,951,452,989,375,
978,603,281,826,775,489,979,649,973,091,189,233,545,116,740,818,669,328,058,
640,973,136,287,081,730,649,275,492,504,368,329,988,306,571,791,525,035,017,
029,770,857,517,371,489,753,718,214,640,176,099,178,238,293,815,448,531,798,
772,835,225,563,080,691,935,706,699,707,623,618,062,102,468,778,257,988,821,
620,182,856,228,330,000,306,054,957,814,956,664,169,420,512,906,216,154,852,
988,743,688,645,517,531,634,558,255,444,065,008,497,946,051,401,170,542,855,
173,217,212,715,118,264,203,634,418,527,461,594,559,455,514,763,911,521,217,
461,468,297,962,543,918,936,938,049,416,692,464,273,038,551,031,275,559,451,
736,290,203,945,974,582,274,666,344,775,101,784,166,169,809,493,685,879,965,
293,835,586,429,415,003,507,250,648,720,191,736,443,647,878,664,286,139,344,
711,142,919,843,127,344,391,873,161,221,668,072,976,917,132,101,964,379,113,
812,182,000,549,108,683,785,196,890,271,374,649,054,218,679,429,085,521,192,
609,303,932,556,419,967,716,163,462,779,228,063,948,358,967,975,283,235,605,
503,866,305,543,022,810,637,409,488,756,804,017,707,643,528,658,006,989,496,
173,845,281,046,212,192,600,026,970,291,207,193,194,491,498,490,627,041,202,
494,581,515,705,570,671,758,653,111,303,590,026,285,924,488,755,078,349,380,
007,397,157,696,226,286,458,766,905,157,477,882,511,196,152,192,223,913,851,
513,991,686,578,192,088,849,975,692,335,777,772,424,926,068,706,562,941,522,
830,730,685,559,778,943,494,808,647,101,949,330,214,630,371,753,870,865,111,
740,609,218,766,246,653,079,471,854,668,855,459,372,630,099,595,613,716,950,
355,860,182,875,683,181,541,539,587,735,248,436,974,269,286,766,611,130,646,
516,300,477,880,040,420,351,701,319,320,126,759,310,144,217,328,898,280,770,
872,119,867,895,993,811,574,971,162,481,095,761,023,773,901,742,744,206,746,
942,320,006,224,196,284,589,375,591,354,541,926,205,408,957,292,088,952,191,
530,005,850,692,464,812,124,702,423,220,447,447,196,689,039,440,199,704,863,
239,309,104,641,614,262,117,684,046,497,872,319,963,417,681,395,577,917,663,
033,167,642,224,776,587,171,091,044,767,576,405,518,580,728,742,804,377,068,
133,410,480,983,729,959,211,554,789,698,921,551,528,510,200,214,990,682,357,
683,972,191,287,727,700,371,296,407,815,551,344,384,742,947,068,243,510,968,
156,932,584,669,342,178,313,258,117,659,255,611,657,384,660,081,372,428,161,
569,883,601,362,290,845,574,408,886,731,691,947,700,167,883,932,146,583,706,
253,611,288,810,152,213,398,567,075,120,629,562,227,521,896,534,857,218,728,
175,452,285,239,768,196,054,101,440,566,525,974,260,097,009,032,728,875,019,
135,590,719,938,010,691,249,570,525,030,134,985,809,929,862,984,406,709,637,
286,135,126,308,874,544,578,834,704,853,415,402,218,054,328,221,758,786,300,
422,093,744,335,984,530,873,199,278,335,015,260,890,028,207,446,221,490,487,
507,251,659,426,794,808,737,190,596,869,365,622,113,308,480,492,714,265,013,
994,651,951,170,692,946,470,545,661,179,998,348,700,975,548,462,602,232,672,
867,984,182,848,308,555,729,496,123,165,072,640,267,815,015,079,744,763,920,
323,292,656,265,739,702,223,017,641,384,275,672,936,782,441,310,852,467,277,
720,783,271,293,331,002,182,001,929,740,938,576,913,190,330,088,419,301,835,
015,555,114,020,551,964,183,732,926,170,641,912,839,071,249,064,154,069,384,
271,174,834,655,458,195,941,162,654,623,963,635,857,897,703,945,901,579,722,
689,155,521,127,060,379,497,575,359,041,560,388,819,974,811,647,553,427,840,
089,899,114,199,853,797,153,708,021,376,853,916,246,200,004,895,683,484,494,
517,476,845,722,529,333,124,945,552,251,602,750,062,877,817,867,415,567,311,
138,510,008,122,669,964,091,007,660,686,652,380,364,286,822,113,058,094,204,
888,449,005,707,898,644,610,821,942,628,462,240,070,891,172,585,135,906,666,
815,146,250,028,217,580,215,985,821,187,943,477,277,930,947,684,750,001,360,
025,455,108,505,330,910,800,286,003,498,292,357,272,642,373,070,790,009,451,
763,361,807,425,514,275,867,348,021,205,265,129,993,081,492,507,899,202,877,
380,478,805,704,014,345,280,514,693,275,015,695,727,545,816,652,121,557,369,
200,189,323,062,933,529,646,792,772,820,545,647,997,138,106,074,337,409,172,
947,403,722,041,995,090,978,704,613,428,107,674,673,286,074,543,647,800,316,
018,263,069,547,866,365,641,050,574,432,256,099,130,468,002,020,117,820,523,
152,416,475,756,132,785,168,370,001,408,827,087,157,503,983,915,552,196,414,
831,125,220,239,009,086,201,806,349,103,761,051,477,627,665,350,268,417,337,
698,284,804,694,670,222,565,350,569,536,551,799,376,281,824,958,466,622,141,
576,163,759,227,548,203,717,147,438,353,518,320,673,363,988,867,022,047,832,
459,044,390,547,171,651,012,945,958,512,046,152,536,965,910,848,847,967,042,
981,826,381,925,973,178,550,440,153,997,034,805,869,972,282,483,834,091,631,
981,961,373,098,750,451,532,111,188,714,889,152,676,643,486,696,072,228,495,
982,483,216,483,797,298,126,434,396,649,784,325,564,112,081,386,763,064,110,
749,367,185,117,497,836,182,106,097,357,134,240,358,915,086,801,225,011,757,
560,452,220,890,815,208,097,213,601,802,781,406,431,381,191,951,334,182,717,
620,140,719,912,126,889,916,013,738,026,249,419,554,159,478,929,992,034,866,
496,570,713,969,358,970,405,567,547,770,126,092,503,369,215,496,622,083,653,
494,780,504,098,233,288,417,522,692,624,227,446,645,044,908,371,881,848,476,
661,982,066,306,762,479,543,240,270,298,842,341,911,448,753,677,241,610,940,
765,356,843,608,414,214,516,896,512,225,639,115,407,473,662,196,918,493,105,
408,807,377,271,835,328,177,811,900,456,054,353,570,936,303,871,619,143,414,
890,909,584,250,629,342,142,640,749,092,059,813,130,466,762,455,713,282,569,
417,292,226,506,868,420,998,376,821,456,155,081,113,594,888,814,535,060,848,
680,938,443,091,767,550,542,734,685,300,828,458,532,689,406,516,444,676,659,
171,389,702,091,075,103,998,590,785,273,448,964,975,576,032,507,453,874,570,
375,196,938,997,528,951,418,388,894,588,358,736,676,466,217,868,900,120,998,
035,172,217,629,815,755,640,002,321,440,244,854,230,167,912,223,715,782,608,
815,272,316,070,320,661,841,956,652,018,978,068,088,062,355,763,580,180,236,
390,064,660,033,018,724,882,637,326,347,576,171,663,620,143,683,894,937,333,
083,942,509,527,097,512,656,323,179,562,607,686,687,256,787,030,604,965,869,
982,296,188,931,410,472,040,587,385,568,223,742,758,166,607,374,448,981,375,
121,410,283,454,628,587,260,261,932,977,767,994,515,018,947,414,320,939,973,
898,138,143,250,833,675,325,165,907,840,210,738,779,762,798,241,704,877,548,
504,538,143,495,366,879,786,545,884,396,192,709,372,669,790,906,126,876,785,
404,021,775,089,567,236,931,770,308,806,118,214,239,243,572,862,861,765,377,
539,214,706,168,443,162,690,922,825,261,199,814,791,400,728,646,725,707,370,
235,683,725,948,186,200,074,147,690,985,941,667,881,993,002,984,120,602,508,
153,858,789,034,110,986,467,188,181,390,560,030,820,034,599,709,823,622,445,
955,468,198,300,668,567,666,472,027,784,898,846,870,856,274,119,795,034,476,
551,665,322,364,359,688,486,432,755,013,150,357,103,033,925,016,388,066,549,
436,737,681,920,932,471,095,273,196,580,565,331,533,795,784,540,443,219,433,
722,800,054,880,504,606,620,766,906,507,947,474,646,320,580,397,815,559,284,
713,368,889,808,618,092,690,934,666,791,423,295,074,357,697,685,887,199,244,
756,540,538,840,591,070,876,201,703,904,876,652,299,947,441,808,458,423,533,
522,581,977,162,339,464,792,085,569,742,191,027,658,534,476,990,029,643,063,
524,964,313,323,845,343,528,599,389,875,206,001,008,577,297,281,407,736,485,
019,930,939,009,855,460,878,450,283,049,880,403,978,182,131,703,801,094,575,
430,239,201,250,584,604,038,297,865,979,261,624,168,915,348,332,456,197,015,
054,161,148,344,862,040,838,161,116,282,531,435,788,523,702,671,676,751,937,
788,468,785,705,056,756,050,969,727,283,857,446,942,664,256,243,794,137,883,
697,589,762,445,098,009,418,908,965,965,302,025,248,293,377,730,619,548,670,
030,266,229,280,762,661,169,500,799,347,778,838,949,005,099,156,204,729,852,
765,223,259,028,310,361,683,400,673,191,735,747,482,202,926,159,810,548,533,
250,543,024,679,879,831,017,389,775,184,215,751,150,219,376,701,677,111,045,
173,325,994,247,464,209,539,669,164,677,407,042,603,315,331,653,509,437,048,
210,345,969,073,913,671,332,209,822,717,209,220,703,341,605,463,754,373,979,
848,298,870,617,511,947,757,360,802,321,367,959,919,862,082,704,683,323,773,
505,842,251,173,654,552,100,432,538,563,163,509,409,042,545,787,263,100,365,
510,907,008,110,372,849,634,267,436,196,908,758,937,236,535,146,260,403,129,
493,364,728,160,031,725,383,962,421,537,458,188,678,465,798,429,629,505,702,
358,938,255,947,591,314,398,776,115,952,677,310,606,946,224,370,560,340,250,
339,116,952,757,703,017,982,865,183,127,740,154,154,744,236,319,234,871,737,
893,541,042,162,746,681,571,449,820,311,275,307,224,837,119,022,190,016,192,
768,117,604,686,851,690,256,911,467,555,556,510,462,227,165,574,194,952,946,
867,430,313,670,844,179,568,750,692,517,293,431,111,740,037,875,154,855,662,
484,280,802,358,976,329,315,459,405,888,387,543,279,145,588,408,073,839,120,
766,956,967,959,753,289,225,608,015,127,527,374,930,136,308,128,891,123,355,
549,042,752,638,591,582,668,792,147,198,426,251,305,724,411,946,630,483,469,
987,813,356,679,565,839,886,155,383,387,061,120,436,521,977,704,856,103,031,
574,454,581,871,641,716,630,294,086,016,948,538,617,638,447,488,701,588,380,
523,820,393,062,374,561,281,648,702,218,856,110,242,389,653,383,975,315,678,
037,797,776,038,483,945,155,224,006,198,577,304,189,180,989,767,218,604,578,
705,641,583,901,929,781,979,080,336,598,985,028,470,481,120,006,149,369,327,
412,142,784,657,798,632,559,369,593,495,551,923,614,525,789,057,954,500,289,
899,101,599,333,866,451,804,635,786,106,154,895,595,536,722,194,856,319,957,
291,705,931,836,744,957,891,704,414,894,044,017,378,902,012,334,144,112,281,
595,363,571,615,519,687,705,854,396,826,830,171,480,837,635,922,323,066,208,
981,999,415,350,378,773,655,544,932,852,096,045,725,609,383,450,786,940,698,
097,422,948,830,761,892,688,755,359,929,921,165,382,675,391,983,253,695,239,
338,642,181,441,915,658,479,052,973,281,374,403,593,209,383,254,997,026,117,
110,127,902,672,858,461,076,157,134,608,092,996,515,303,791,988,638,613,239,
197,841,192,005,450,572,417,317,731,662,488,263,988,412,665,511,638,616,071,
494,590,215,036,734,571,086,852,205,520,940,024,645,234,649,168,888,565,615,
783,278,485,310,823,679,464,014,820,772,949,356,191,432,772,397,511,170,499,
934,584,936,747,380,627,157,510,872,496,186,012,090,425,969,550,727,015,125,
350,880,184,821,801,730,574,030,388,364,389,633,024,489,405,589,878,486,102,
245,586,178,200,847,559,079,316,794,182,403,875,481,963,100,585,282,279,844,
145,889,786,823,603,005,349,316,155,855,523,609,327,122,416,133,878,298,967,
827,222,039,228,760,234,951,777,211,444,485,339,456,684,697,863,469,323,565,
367,252,870,547,937,451,812,535,844,137,573,915,031,655,248,418,141,992,144,
510,568,883,721,910,599,347,408,534,674,710,084,027,430,806,989,882,342,968,
912,466,931,792,245,208,816,223,346,190,321,310,555,498,590,648,185,709,801,
553,332,907,425,660,107,333,794,477,074,291,063,731,216,245,254,249,592,313,
533,674,407,870,214,981,406,299,759,637,589,898,428,099,564,134,806,126,796,
159,258,581,449,158,168,766,646,084,490,334,929,067,304,099,373,228,783,301,
287,501,113,629,689,578,074,936,257,882,513,376,366,574,102,683,056,705,073,
273,200,153,744,558,021,812,749,589,231,919,677,966,179,712,442,932,482,831,
698,163,227,931,923,145,575,529,830,290,849,666,391,902,306,045,065,674,396,
791,188,913,337,236,430,344,730,055,843,920,125,592,934,961,217,136,393,627,
823,720,037,486,898,882,032,859,131,560,346,354,391,088,705,341,654,271,100,
664,397,977,378,240,204,065,189,064,294,547,215,477,034,408,018,225,511,888,
776,612,968,922,980,734,144,659,123,014,220,894,796,320,343,501,231,328,058,
998,316,055,473,873,130,858,057,207,026,894,139,432,763,545,656,706,576,704,
835,088,652,947,065,342,050,427,716,257,300,309,931,189,304,146,935,235,541,
299,171,598,500,584,633,767,281,198,286,255,178,283,729,690,401,324,699,916,
301,892,039,676,585,633,958,352,887,794,278,487,429,602,224,176,228,994,356,
122,914,361,325,337,905,203,141,563,950,764,056,847,094,376,724,320,416,097,
001,514,902,738,277,291,639,037,929,676,338,743,189,558,464,374,553,404,817,
536,420,326,829,361,429,237,173,812,568,244,049,050,148,274,026,520,612,767,
815,545,813,733,614,973,449,994,247,529,655,955,522,696,256,671,232,257,696,
234,597,688,139,164,304,241,735,766,308,433,698,609,028,763,730,217,403,568,
949,086,064,285,550,951,413,665,663,901,929,300,131,971,063,115,214,057,395,
331,985,285,064,947,636,587,863,759,500,699,645,995,429,383,793,985,534,682,
149,346,744,970,580,278,460,059,764,697,398,158,645,877,673,758,904,241,124,
566,297,123,635,576,831,268,224,230,054,369,123,219,761,943,510,149,459,117,
272,136,085,118,818,334,979,100,870,526,452,834,787,588,664,800,416,390,968,
966,375,823,405,501,184,037,892,465,604,369,871,013,637,588,078,849,185,514,
383,498,250,576,558,078,227,980,909,341,848,409,697,515,405,481,318,060,480,
660,255,367,859,757,860,898,441,479,208,287,897,225,121,690,724,915,502,065,
957,947,990,893,318,692,736,377,444,081,220,950,738,179,662,371,769,970,674,
859,577,743,617,700,043,055,430,132,855,658,702,219,311,194,437,353,601,894,
510,848,297,797,228,036,224,598,288,395,022,386,915,327,899,779,112,289,785,
168,872,444,078,526,291,553,867,631,340,862,108,246,231,354,878,544,539,101,
385,381,612,590,891,137,046,388,801,459,715,911,868,865,306,991,321,819,135,
879,124,719,946,135,801,030,122,061,204,437,700,327,612,072,003,002,917,696,
035,772,612,154,887,062,596,193,194,933,897,589,230,494,730,242,969,438,300,
581,526,586,914,432,887,299,000,456,452,638,679,052,932,522,972,435,038,859,
687,922,050,355,859,378,636,018,401,963,582,127,007,506,434,876,916,915,670,
783,032,171,102,571,535,293,181,563,225,633,377,431,683,225,706,798,478,130,
302,993,502,937,531,817,133,497,498,238,983,440,919,726,388,146,083,139,640,
852,447,016,126,721,000,691,248,185,246,391,852,819,460,575,132,158,470,154,
562,456,890,760,833,111,900,059,417,998,121,559,058,540,654,372,962,473,240,
186,595,612,787,400,835,736,501,322,231,324,498,453,666,214,818,804,685,705,
580,998,825,739,593,996,125,294,141,885,825,360,275,769,211,500,571,704,906,
278,103,522,270,067,269,632,876,295,796,889,443,159,080,491,245,226,280,927,
692,390,318,076,716,190,035,832,992,182,679,061,416,433,387,697,718,456,449,
413,427,932,049,919,372,317,621,424,004,604,619,116,705,976,544,770,342,251,
391,911,652,470,709,486,962,349,523,920,236,182,631,030,547,111,205,672,437,
463,529,065,900,567,355,641,219,681,508,693,798,557,690,453,954,318,741,291,
708,121,398,670,298,347,027,509,632,332,648,463,042,358,289,015,181,270,152,
098,626,714,649,269,206,771,697,197,673,747,199,055,792,112,712,916,130,806,
905,860,839,073,459,557,159,320,541,867,599,748,248,100,832,141,343,719,201,
249,758,660,394,114,081,080,861,517,290,502,555,769,039,939,168,640,402,276,
523,424,215,597,467,072,925,975,299,861,745,166,349,331,524,738,223,514,555,
989,299,759,564,758,305,729,956,571,778,633,426,205,095,221,098,507,351,340,
703,380,314,474,037,420,116,155,493,716,052,550,096,950,706,190,644,032,520,
825,460,764,805,979,399,373,193,254,521,749,621,674,332,521,635,317,645,371,
212,209,486,903,474,470,706,885,949,398,955,904,260,578,584,271,178,376,634,
868,763,507,262,927,575,595,704,802,173,168,961,961,287,570,580,719,410,971,
142,640,704,283,806,634,057,516,251,076,490,308,214,934,326,888,500,362,487,
156,553,795,401,431,165,287,505,053,077,679,060,872,443,534,752,994,344,415,
049,305,211,953,423,747,055,619,028,057,775,838,640,162,141,076,607,188,652,
649,875,040,726,401,056,318,951,743,589,106,561,974,122,902,865,970,093,117,
538,504,013,381,482,208,620,337,374,979,589,539,380,360,169,672,303,943,170,
985,271,790,176,569,560,246,807,941,412,142,570,859,449,073,756,319,615,051,
472,897,281,400,210,249,917,068,153,792,748,315,793,050,820,052,720,469,802,
451,727,841,001,860,938,537,413,501,415,568,151,861,814,280,478,969,926,066,
983,541,625,280,131,049,105,228,755,810,998,515,097,723,140,854,207,914,745,
330,062,861,295,897,277,658,489,652,206,371,899,635,567,612,530,719,075,018,
575,755,176,656,894,251,751,588,233,963,214,735,893,525,996,183,285,293,999,
299,373,447,287,510,287,242,378,602,916,058,850,242,188,240,081,746,187,365,
394,034,027,145,179,399,854,388,622,967,075,098,868,967,144,457,823,496,142,
537,144,296,384,172,172,076,204,459,519,033,884,570,618,537,841,776,117,407,
033,586,738,583,590,046,394,524,677,866,119,641,344,683,578,687,189,243,794,
305,387,883,875,569,477,993,336,332,228,052,486,366,222,386,190,521,821,552,
346,483,006,052,951,761,824,926,191,486,349,613,101,354,515,272,804,553,971,
961,706,416,845,173,291,679,148,293,000,853,633,964,474,742,870,641,250,372,
629,232,840,891,416,133,577,961,345,923,885,584,652,867,823,470,413,466,103,
313,483,373,680,851,013,942,969,269,085,296,890,121,553,226,679,359,577,947,
408,764,174,641,152,051,723,370,398,375,968,590,909,160,800,787,120,469,878,
610,575,048,728,084,587,671,184,484,966,699,971,318,942,368,084,185,346,390,
743,616,099,692,692,857,465,306,549,546,258,856,323,242,718,376,719,822,774,
532,481,785,740,033,229,366,810,652,943,136,145,067,577,716,471,486,042,038,
271,684,124,982,240,122,299,197,923,820,828,523,722,607,641,657,494,439,321,
132,208,977,189,965,740,545,587,782,758,831,713,997,519,868,449,920,125,353,
713,100,663,270,785,358,884,601,253,625,006,248,058,785,531,909,974,132,756,
655,771,375,722,463,718,790,216,850,561,837,616,910,039,761,552,822,922,134,
511,841,673,748,545,152,693,272,089,936,278,083,724,190,098,492,540,037,045,
162,353,218,125,899,291,620,094,706,573,303,721,903,478,313,302,471,676,937,
981,020,959,554,478,329,690,887,761,831,980,874,750,032,024,523,422,121,057,
329,711,712,889,933,811,270,659,861,379,620,733,114,272,124,946,581,146,080,
055,575,605,972,102,568,450,839,940,122,635,306,150,354,931,349,178,770,031,
895,276,449,206,688,330,104,944,337,267,099,528,437,653,992,696,511,335,167,
997,927,432,418,841,054,596,269,754,438,945,962,002,749,309,215,524,376,650,
557,629,687,879,169,493,463,868,763,021,842,557,544,756,270,573,145,400,970,
563,883,285,894,972,448,175,087,643,067,769,203,965,744,555,200,590,594,176,
028,373,966,273,469,935,486,228,092,229,249,946,266,175,460,501,933,294,779,
963,935,954,770,832,534,998,634,330,999,103,364,493,345,802,631,927,362,649,
421,141,228,136,662,087,001,361,957,312,952,531,177,998,716,875,486,060,328,
115,578,160,188,439,624,040,593,692,085,382,986,289,412,198,541,868,136,430,
729,037,469,483,916,057,002,637,544,327,510,788,863,882,062,803,692,019,672,
139,076,680,720,590,846,065,672,040,932,550,727,997,463,174,367,566,713,821,
196,016,982,979,193,924,191,037,329,833,217,548,119,159,110,341,595,397,630,
601,189,965,625,243,780,866,029,104,028,177,382,099,409,561,530,116,024,001,
384,152,829,214,230,914,336,516,888,353,585,281,025,633,136,374,885,147,317,
599,550,491,275,324,310,058,224,989,044,888,532,362,485,665,568,394,328,351,
755,481,304,596,312,238,056,997,345,363,417,080,779,287,173,261,304,770,575,
026,285,028,796,679,270,487,835,203,751,873,134,306,094,838,305,369,419,496,
775,918,411,530,424,559,959,473,198,145,299,251,101,090,270,378,626,093,129,
128,694,865,757,233,517,209,872,590,261,663,610,641,651,174,132,749,544,323,
744,863,328,529,934,677,167,103,829,626,670,441,325,662,584,693,235,113,752,
307,856,071,737,421,930,886,300,142,341,192,265,567,976,497,303,461,167,270,
489,698,835,645,148,304,294,442,564,705,715,186,189,823,382,651,543,471,461,
343,499,443,212,728,626,941,419,047,496,265,170,346,763,108,310,316,347,040,
909,125,197,154,961,820,890,839,044,428,816,107,518,212,651,038,127,996,743,
909,214,317,658,218,871,325,033,995,828,726,523,390,215,154,632,770,789,538,
096,643,229,053,507,714,619,738,958,393,253,262,517,271,061,754,586,739,700,
919,861,193,694,394,365,266,752,417,546,252,140,095,729,465,280,771,326,659,
102,095,524,703,100,728,258,648,630,745,067,705,015,584,111,455,895,756,465,
922,107,544,715,339,436,950,704,868,655,790,426,405,587,542,141,929,605,345,
947,879,716,166,547,817,337,374,425,192,591,429,915,410,276,538,010,411,480,
740,466,408,942,684,871,844,612,812,921,712,984,783,129,768,358,733,902,148,
765,155,744,093,341,431,673,907,555,988,786,312,710,148,416,285,608,871,782,
396,095,292,624,235,072,080,080,678,492,609,915,777,822,792,293,193,197,427,
520,604,263,923,108,087,569,998,523,917,632,384,063,061,283,842,229,939,668,
907,320,241,299,473,040,482,445,318,169,366,317,371,613,047,489,816,428,383,
050,860,712,816,981,066,514,137,363,803,444,937,964,557,067,094,478,149,175,
839,048,076,552,589,605,904,618,056,389,360,507,808,069,988,503,826,319,989,
429,627,814,155,519,437,435,215,511,343,875,198,539,136,063,919,922,492,077,
638,332,101,241,790,901,511,600,492,045,015,124,706,454,588,095,926,597,556,
468,038,442,682,270,115,112,872,699,058,674,995,513,459,794,474,604,906,026,
054,374,628,323,373,495,327,968,425,524,144,821,040,743,944,272,797,861,976,
093,560,347,115,311,597,352,510,225,870,504,952,088,207,658,652,360,170,341,
954,944,128,155,452,662,998,820,063,771,556,660,462,979,143,886,651,541,448,
531,935,395,878,830,703,817,413,504,609,218,281,442,268,439,317,904,392,269,
391,873,657,938,580,931,771,468,181,793,257,073,576,166,037,376,026,602,151,
867,473,648,622,516,372,767,015,769,829,627,873,273,792,919,544,530,075,469,
357,396,195,057,741,303,064,943,302,562,281,539,276,931,000,996,878,432,629,
936,348,228,529,163,775,294,607,313,534,156,323,383,968,831,234,756,156,462,
626,817,879,005,427,431,150,969,283,909,701,890,441,986,237,919,716,801,179,
137,535,373,449,138,139,262,729,439,396,606,014,615,886,191,644,791,664,787,
495,112,034,919,636,898,170,776,545,135,687,660,051,839,504,801,491,293,284,
341,793,443,938,232,705,239,179,351,984,284,123,762,421,645,285,486,709,717,
517,173,943,345,421,579,006,085,962,682,611,290,815,782,633,218,043,062,375,
540,896,129,628,329,893,448,229,306,831,919,347,808,765,032,325,323,409,797,
030,000,119,438,324,609,072,434,397,728,394,878,120,519,425,207,696,093,066,
278,739,183,963,577,768,655,016,586,067,008,250,104,834,458,583,611,609,943,
495,902,639,362,094,982,699,082,990,674,459,381,631,423,982,185,547,402,702,
633,706,152,305,918,595,721,428,970,977,827,089,293,104,419,863,590,495,272,
228,213,353,787,274,471,478,984,329,770,391,666,853,007,944,933,153,619,857,
673,955,220,299,004,185,571,074,518,779,404,839,058,957,384,400,308,010,689,
005,659,862,323,963,228,997,994,808,671,863,207,042,931,619,705,954,030,916,
293,544,938,565,331,860,650,887,423,457,362,365,722,393,941,873,525,165,762,
719,070,397,741,973,061,947,876,425,840,097,366,868,330,847,576,921,618,319,
470,561,405,173,604,620,438,324,471,752,257,617,865,407,941,692,107,386,433,
983,462,375,166,151,356,802,568,943,047,944,427,516,640,267,519,223,383,797,
006,966,066,668,945,093,846,614,629,447,888,786,209,748,215,582,362,213,419,
939,672,704,364,151,135,415,186,080,899,329,090,223,065,402,588,105,940,470,
526,804,052,281,112,636,541,017,959,543,434,743,295,516,253,390,923,850,113,
017,593,803,531,373,738,347,056,035,597,604,723,148,787,942,926,369,791,260,
370,921,673,279,150,959,268,121,309,125,825,316,948,027,665,123,629,544,564,
154,592,399,499,159,141,207,663,794,265,483,698,877,286,874,095,893,775,871,
314,199,322,519,170,275,953,374,894,603,947,996,292,800,373,875,136,581,791,
412,973,446,906,907,849,211,934,092,550,802,160,016,025,726,974,268,108,888,
936,239,579,649,498,034,782,717,798,545,892,734,182,756,583,748,232,233,122,
085,680,847,548,476,529,125,985,943,650,044,973,537,912,871,383,371,181,301,
575,409,387,785,775,220,794,566,280,037,530,865,895,151,506,286,377,767,913,
704,661,239,161,750,228,772,274,032,354,938,460,241,024,519,987,145,034,009,
291,213,006,599,313,912,831,709,219,607,475,416,267,523,399,550,295,727,682,
842,169,656,500,144,858,850,291,637,252,827,906,462,862,630,491,992,573,230,
632,070,530,425,375,396,029,259,727,654,083,331,971,626,286,499,558,003,540,
102,156,534,835,566,197,640,125,665,961,043,037,054,033,808,883,880,299,363,
354,275,218,444,973,501,328,177,164,162,602,481,759,050,383,488,835,361,984,
897,401,149,464,768,602,787,347,483,753,180,769,693,422,918,871,469,343,647,
424,656,127,102,607,963,456,724,462,734,105,015,865,845,305,167,682,220,486,
115,396,341,835,005,416,655,195,712,332,994,163,447,719,775,128,881,138,329,
312,959,511,787,511,104,602,776,767,692,072,356,109,621,290,000,947,090,129,
296,331,527,368,562,489,258,743,876,039,791,111,489,481,743,569,334,412,904,
240,551,459,724,949,640,336,187,156,983,455,407,083,340,963,046,293,119,801,
885,007,239,476,586,049,605,979,829,987,006,050,884,962,295,233,828,831,836,
632,515,718,721,660,435,756,363,334,911,493,421,319,538,609,911,648,704,931,
096,428,873,299,978,558,293,969,788,960,975,308,496,256,454,052,569,928,584,
323,741,864,459,762,050,873,133,808,800,604,784,491,168,558,076,227,593,247,
363,556,164,254,399,831,996,730,009,790,337,452,839,983,016,691,084,165,926,
065,653,933,288,900,161,866,877,800,887,266,176,464,969,409,129,388,943,839,
891,616,321,780,926,996,344,229,622,844,759,769,941,414,365,316,390,273,629,
699,113,790,018,024,547,506,872,895,093,040,740,502,295,094,944,202,222,332,
291,375,375,299,863,468,301,385,589,696,353,928,021,404,610,682,995,159,407,
503,397,104,662,306,946,902,103,489,181,064,341,931,919,318,150,929,228,524,
355,969,433,855,762,303,798,422,207,794,576,941,079,040,300,712,419,897,476,
682,640,048,966,425,928,140,362,564,903,106,136,101,722,124,577,427,622,859,
673,488,205,070,736,144,069,816,071,512,528,467,388,574,287,020,082,051,117,
275,040,677,770,038,417,302,883,614,976,835,607,864,717,224,760,019,496,885,
440,483,280,933,787,095,827,551,745,668,941,533,724,358,919,653,885,711,349,
568,162,060,506,623,672,585,644,772,980,944,494,914,100,970,531,459,239,530,
724,436,170,509,286,530,596,156,993,808,556,662,068,258,535,915,345,359,102,
483,111,473,083,496,878,291,950,966,864,697,216,055,827,164,875,019,778,210,
131,999,496,643,077,324,696,323,744,087,855,551,435,509,325,180,846,794,413,
979,076,726,910,123,221,260,498,003,541,235,155,925,053,890,910,179,794,279,
703,139,805,397,776,134,032,866,188,557,564,418,791,681,290,738,127,604,768,
297,694,278,415,591,775,411,315,272,228,397,018,336,959,623,805,039,501,684,
751,822,666,090,246,084,294,426,619,357,105,009,333,648,565,161,953,892,439,
435,932,864,073,832,401,876,834,756,691,509,406,085,608,544,991,155,861,777,
972,376,667,287,650,687,543,234,215,418,771,395,232,919,139,471,871,479,964,
963,420,283,606,837,828,315,762,288,414,074,163,157,357,550,429,214,613,788,
379,647,461,784,360,525,079,320,094,758,940,554,436,864,922,374,992,761,513,
430,696,476,610,714,670,181,968,359,463,115,194,024,425,818,220,833,036,947,
177,586,522,296,787,881,205,314,221,977,730,118,473,015,764,633,192,305,251,
103,922,849,730,899,755,403,473,868,427,482,339,375,305,005,560,447,630,884,
865,702,892,024,989,109,924,161,414,499,045,037,287,822,965,876,694,253,499,
908,245,606,139,634,972,938,909,776,368,859,811,410,811,605,853,818,676,993,
457,547,430,375,072,503,906,287,698,897,062,014,303,328,382,808,469,144,096,
581,421,478,310,212,247,670,898,882,067,697,627,096,915,452,878,746,142,704,
139,751,043,501,274,166,962,537,523,742,301,416,789,576,853,076,305,047,516,
832,706,227,007,984,870,543,467,887,966,192,171,798,987,920,032,018,970,589,
528,320,821,757,504,765,380,929,338,503,760,117,394,062,099,172,641,575,283,
359,437,481,848,692,771,903,882,204,401,992,679,042,863,189,289,120,325,038,
010,735,149,832,979,553,032,607,071,804,469,843,990,127,243,177,429,786,460,
933,302,302,412,985,548,126,959,885,670,585,356,051,416,708,233,032,412,065,
607,728,344,744,304,316,049,692,970,905,862,336,650,384,148,076,235,371,261,
164,062,082,902,400,433,082,055,087,099,039,822,062,010,165,396,606,633,021,
768,178,209,848,568,205,819,726,619,340,678,873,463,081,866,380,618,729,794,
982,994,335,387,362,745,985,316,879,033,649,302,555,399,825,099,291,975,899,
289,750,621,765,526,269,763,114,035,447,940,703,359,530,098,400,881,437,999,
427,725,078,532,959,636,301,044,301,878,940,527,061,459,996,281,892,344,632,
593,589,701,479,851,147,972,200,668,010,111,601,041,934,430,493,430,481,582,
208,748,483,679,381,786,784,003,959,616,669,360,395,115,292,334,184,464,203,
247,233,142,391,897,420,682,358,512,626,388,385,194,765,245,182,002,641,410,
844,944,212,108,427,405,054,360,725,679,670,256,894,521,689,858,670,517,354,
310,882,871,242,609,502,420,353,491,606,214,404,151,709,230,639,216,809,587,
415,028,365,965,643,868,111,021,026,416,012,562,339,654,758,584,103,789,682,
041,525,392,534,515,214,765,772,284,386,889,956,060,943,028,824,176,367,818,
882,640,612,294,211,982,196,102,445,227,467,558,984,129,934,844,712,158,060,
134,236,798,760,324,650,949,372,809,211,945,507,921,451,596,149,463,545,000,
411,116,021,280,878,062,502,606,375,525,464,836,444,408,981,639,549,753,338,
858,297,393,355,994,841,614,867,453,706,109,095,021,344,019,929,237,664,546,
876,202,814,939,386,826,282,721,415,857,438,368,595,578,886,851,459,599,220,
347,832,468,657,792,697,702,451,770,206,969,411,401,725,804,904,797,221,404,
799,290,252,304,555,601,732,933,834,147,392,254,728,961,366,489,699,827,594,
146,899,647,613,548,867,977,294,170,452,723,944,697,566,648,516,140,253,451,
917,570,718,796,175,218,704,855,464,642,543,935,342,743,367,793,374,363,492,
380,723,312,337,751,535,464,627,027,508,553,205,296,925,704,591,217,608,765,
679,900,905,354,846,154,512,828,703,374,175,036,240,828,198,907,122,382,971,
645,610,926,614,679,214,052,994,552,952,345,708,554,733,787,828,499,010,937,
356,177,139,316,699,621,977,431,421,539,871,937,927,714,318,349,295,752,329,
027,178,173,541,335,809,506,133,817,026,978,676,278,357,036,918,640,352,720,
760,263,462,624,294,825,012,964,124,838,964,035,329,870,418,157,008,342,372,
860,581,740,859,171,950,838,240,235,003,597,162,529,449,628,331,378,395,032,
820,449,972,991,602,952,869,665,204,640,906,017,398,831,954,825,800,364,262,
843,260,790,814,119,146,023,635,764,350,404,086,147,379,896,770,226,563,378,
637,960,806,234,607,258,406,884,946,006,037,453,932,841,747,490,023,821,288,
635,667,537,153,202,704,241,035,737,954,844,195,005,071,237,657,622,491,074,
976,331,441,525,374,449,776,008,239,026,379,891,589,437,946,463,964,534,105,
136,197,846,021,340,260,652,879,796,303,122,439,412,638,318,479,333,268,545,
670,210,537,302,738,534,737,756,779,662,562,712,290,387,800,702,659,573,349,
400,586,974,791,412,366,187,130,666,626,366,557,129,105,853,879,977,817,413,
059,167,854,418,633,356,404,730,134,546,316,773,295,602,322,211,190,470,522,
503,830,856,615,567,153,715,602,766,287,024,449,455,671,478,610,712,896,843,
850,614,220,364,749,835,253,550,424,556,785,117,375,223,347,692,206,838,333,
371,655,985,797,465,687,509,566,284,100,505,725,331,279,490,293,406,859,803,
473,424,821,805,222,494,718,372,720,901,553,703,573,755,669,307,297,982,476,
424,982,009,728,610,403,692,775,407,882,449,000,098,646,876,753,471,154,400,
986,477,272,021,939,692,088,088,310,724,124,057,782,594,486,657,853,289,077,
576,931,912,957,378,315,917,927,723,130,573,764,835,902,386,182,447,945,947,
370,273,429,921,304,729,813,833,023,295,665,397,571,951,145,969,569,859,258,
383,849,562,692,237,056,138,201,595,532,845,754,068,611,808,445,791,308,398,
274,836,492,195,444,496,421,319,063,977,386,665,765,488,164,302,453,652,708,
144,233,861,816,144,734,751,781,260,403,086,190,118,220,355,294,864,684,438,
460,803,405,592,138,541,224,128,502,363,554,718,515,060,587,121,450,513,962,
594,331,458,777,200,709,980,049,767,352,077,692,288,644,252,476,552,663,700,
244,749,065,966,072,642,883,487,443,270,059,270,331,817,858,900,771,211,031,
707,971,311,828,326,586,191,915,031,789,794,776,470,675,667,833,901,957,194,
196,974,471,945,811,253,578,974,210,284,498,007,752,203,677,393,610,855,130,
586,576,040,964,215,070,821,761,048,544,400,162,488,698,887,717,763,461,339,
186,543,014,632,089,086,728,003,873,934,579,573,440,954,026,445,440,109,085,
326,761,382,470,741,061,886,903,371,248,655,016,177,266,829,936,595,017,702,
777,740,132,376,071,538,512,194,543,791,052,158,875,042,869,805,378,238,609,
152,875,054,722,403,856,669,988,462,092,710,789,537,417,431,418,000,738,491,
034,500,770,802,925,165,129,212,389,389,541,361,795,075,838,734,926,140,130,
103,697,570,177,815,176,367,976,356,949,863,635,925,307,147,758,429,550,776,
290,941,694,118,153,893,528,343,075,021,472,073,637,837,926,348,867,282,818,
340,596,139,645,845,607,570,580,908,978,190,018,720,177,924,430,192,489,680,
488,579,500,967,996,672,095,767,762,478,191,263,178,852,081,630,497,035,250,
939,604,631,669,989,512,104,174,888,499,775,753,850,202,312,367,675,906,349,
196,657,698,740,799,512,121,800,418,134,266,816,268,854,260,534,402,450,909,
068,805,821,750,097,513,156,310,187,578,545,440,822,611,463,416,131,177,478,
511,540,545,303,306,536,147,102,317,583,245,858,670,953,575,054,488,441,557,
380,404,142,007,574,986,191,407,970,328,997,497,824,134,110,195,753,419,895,
617,206,432,157,286,118,633,381,501,284,530,638,455,435,759,849,247,870,758,
738,914,352,262,135,169,597,790,338,868,578,311,864,848,075,591,439,751,871,
707,057,311,981,501,427,348,202,282,232,976,131,062,755,979,195,003,101,576,
846,932,676,500,338,965,666,798,044,354,824,109,957,522,968,893,917,708,866,
104,969,095,736,110,234,865,790,497,068,134,455,214,237,703,473,028,720,063,
815,279,874,462,605,799,272,515,094,139,987,986,130,535,759,105,152,114,381,
632,463,666,396,951,607,960,597,192,796,084,956,575,787,233,674,117,789,093,
630,553,200,435,876,007,964,371,778,394,061,567,013,010,377,804,943,852,817,
660,401,693,150,513,349,351,707,009,606,420,326,816,289,259,047,537,146,445,
859,100,491,380,819,713,632,182,724,663,169,991,369,942,224,852,049,022,903,
432,370,246,744,758,529,014,422,361,194,891,235,506,387,076,523,090,938,837,
868,029,525,003,960,052,509,398,834,681,803,273,671,265,107,714,288,343,386,
085,205,569,978,985,595,456,316,424,194,006,032,055,740,006,120,669,366,763,
543,674,301,236,567,879,019,658,543,214,660,806,868,525,293,707,792,075,826,
401,097,402,758,925,104,800,781,207,467,643,111,896,952,128,079,142,466,821,
248,094,206,732,890,571,917,364,204,867,468,104,248,121,991,071,945,868,108,
500,275,425,556,471,051,414,562,367,466,797,852,002,142,609,927,400,010,744,
458,092,287,676,446,019,711,697,906,776,126,936,512,514,307,404,125,326,275,
989,487,835,066,057,429,920,100,625,950,840,777,303,150,455,475,356,159,564,
224,827,283,804,784,293,073,262,946,707,430,453,060,068,053,602,813,326,553,
836,526,881,828,037,698,006,706,788,290,888,161,617,595,809,843,641,434,272,
398,212,032,112,906,774,006,806,662,802,188,784,572,768,799,109,135,010,205,
111,681,553,347,056,355,711,139,531,089,214,251,480,570,403,987,160,212,163,
202,871,619,571,761,014,511,623,183,756,722,740,673,449,391,671,901,276,364,
988,699,005,258,249,395,499,812,331,135,113,889,797,652,845,072,017,649,831,
037,275,874,400,182,386,347,630,032,765,654,257,118,665,502,115,548,975,813,
721,573,495,126,319,999,021,406,347,716,694,351,951,831,031,718,884,875,697,
985,799,112,178,109,892,607,480,156,930,398,695,879,225,099,912,871,308,208,
107,658,190,331,679,193,691,943,053,212,266,538,235,406,282,866,800,995,125,
145,330,500,587,577,193,139,398,347,564,327,863,446,861,196,121,215,093,852,
370,294,134,679,951,046,679,018,031,447,452,397,460,013,829,437,814,254,791,
725,188,165,356,602,492,650,610,827,643,460,190,334,802,106,512,940,766,433,
637,825,192,097,858,654,976,082,469,964,064,983,125,068,632,538,261,550,512,
764,936,419,403,110,872,689,532,116,013,084,024,047,971,073,486,818,351,479,
091,195,064,602,969,735,915,143,102,414,298,074,622,612,443,953,036,090,257,
642,074,144,161,540,037,307,413,982,651,837,189,846,873,463,847,182,836,825,
285,148,252,976,080,149,215,922,098,070,349,917,928,194,413,472,730,196,958,
985,115,790,872,790,549,554,910,621,154,208,822,172,415,895,483,578,480,962,
895,244,032,388,260,664,730,734,946,741,864,745,390,680,849,011,789,035,304,
176,829,343,203,964,652,839,276,000,187,823,743,053,083,475,050,005,580,747,
627,437,916,873,447,096,849,116,653,800,044,830,988,690,925,920,736,411,295,
441,832,763,835,549,235,628,756,110,012,141,187,220,042,620,739,067,146,836,
646,059,503,729,608,430,825,254,110,892,441,932,284,662,577,301,821,061,451,
566,434,845,320,322,082,734,820,707,784,264,373,609,538,394,561,909,164,220,
453,382,703,029,447,145,526,335,048,833,359,304,730,800,161,065,514,159,286,
607,399,067,476,556,570,789,483,977,749,932,147,296,534,321,158,964,287,943,
234,888,061,351,373,210,626,999,843,588,749,594,696,123,448,794,530,738,874,
957,208,696,794,476,409,003,204,536,776,165,076,509,192,332,981,027,388,290,
716,166,193,642,870,505,963,938,800,037,687,878,994,656,100,109,113,376,430,
090,125,666,736,827,632,898,288,732,356,267,105,062,045,350,277,998,958,317,
401,310,403,431,914,116,249,218,436,846,302,739,034,588,074,891,535,103,859,
590,156,642,038,747,143,124,663,989,649,961,066,533,903,409,486,149,226,489,
811,247,600,621,161,919,517,871,926,112,507,458,666,864,702,370,416,820,616,
542,376,464,502,784,971,427,591,445,410,561,432,344,709,656,516,560,827,165,
288,010,269,057,768,344,575,373,250,734,433,017,079,864,340,283,329,177,206,
684,399,024,042,726,938,103,785,483,985,793,874,514,504,586,753,078,830,227,
763,669,687,168,151,203,995,376,585,976,363,505,630,635,852,421,354,122,539,
468,893,347,171,644,237,978,543,955,203,559,318,625,362,209,818,682,180,964,
875,756,083,776,961,530,844,491,548,558,193,350,165,872,966,349,978,482,199,
807,630,911,011,786,042,208,176,751,133,563,809,843,618,614,398,519,172,522,
362,642,861,891,863,228,282,653,967,684,571,457,567,103,071,227,626,915,810,
846,872,078,949,489,089,374,289,652,380,944,830,391,171,904,683,154,738,353,
256,150,572,288,171,184,282,737,724,913,948,189,562,655,635,553,132,729,079,
924,191,578,209,110,048,406,466,104,894,454,270,618,922,627,409,572,166,400,
919,045,195,156,394,986,619,288,741,229,515,068,705,670,526,271,337,606,939,
199,837,759,347,234,742,428,590,104,092,389,677,745,894,698,308,978,866,026,
189,707,022,783,566,195,932,685,572,099,026,930,451,826,795,627,927,299,827,
963,587,083,492,825,465,152,517,012,120,816,489,296,746,918,058,766,345,586,
126,103,740,560,559,430,811,596,917,652,394,311,492,850,213,613,220,409,229,
658,810,432,005,672,837,656,907,527,481,378,622,418,715,902,317,262,586,058,
904,672,624,328,692,086,610,072,466,067,776,985,511,633,857,277,824,290,266,
298,268,098,019,749,690,415,710,768,779,492,224,384,729,929,331,936,343,975,
684,268,241,491,327,427,358,811,833,173,068,152,656,922,271,723,637,460,275,
419,768,248,380,699,070,172,846,113,446,225,759,712,233,225,548,688,308,034,
318,068,266,740,231,597,099,877,339,512,538,324,494,826,873,128,063,381,937,
853,455,195,568,467,660,599,411,011,490,601,035,998,863,995,031,866,343,614,
906,248,695,946,834,715,785,528,742,840,345,883,955,985,508,373,931,249,538,
013,085,381,495,255,542,215,068,732,462,184,875,696,160,860,066,136,122,652,
347,502,361,531,153,427,919,330,710,500,665,876,337,187,219,240,632,932,843,
028,198,493,794,628,608,721,741,052,437,123,031,533,165,673,296,112,720,347,
614,516,318,745,018,586,629,868,866,187,395,370,330,179,395,227,352,027,005,
673,280,499,667,947,670,030,058,154,987,470,366,924,883,763,062,868,926,082,
366,048,066,482,601,000,579,574,846,207,399,026,916,092,165,968,236,899,214,
924,833,799,568,795,337,474,096,065,804,019,393,203,960,371,649,658,548,510,
269,473,934,863,586,471,096,082,218,723,833,613,567,894,864,234,580,707,191,
741,390,049,694,106,477,932,170,915,692,719,653,464,440,824,709,451,655,950,
532,319,171,744,668,821,917,887,165,359,738,349,908,116,541,327,752,482,585,
591,698,399,363,936,996,278,248,935,195,738,901,703,719,944,946,198,845,692,
890,651,020,018,135,244,936,864,630,802,629,258,679,636,681,703,487,831,263,
519,682,496,771,033,043,167,655,997,996,666,846,279,014,778,704,259,930,681,
232,068,333,936,855,216,858,724,405,975,287,967,700,908,318,138,426,818,071,
543,300,560,953,181,918,083,869,475,777,255,257,751,229,161,909,149,717,195,
224,175,680,826,880,995,509,472,187,558,895,886,798,429,232,107,510,869,402,
933,013,479,894,988,955,156,303,401,231,745,382,646,837,861,689,220,273,776,
823,350,303,828,097,989,674,565,902,871,876,885,641,895,273,766,227,095,166,
976,247,098,174,310,960,853,350,052,812,766,903,618,279,023,299,722,497,833,
889,969,764,008,414,586,054,215,167,056,480,700,389,371,450,774,482,053,040,
591,260,658,811,770,318,791,782,405,531,091,763,868,899,191,224,390,569,855,
880,191,497,902,348,263,940,611,031,500,270,647,347,206,237,859,350,099,374,
625,067,915,022,917,413,636,026,972,854,820,992,017,405,631,543,751,157,825,
910,110,288,626,105,535,222,472,230,536,680,708,485,859,399,463,949,203,729,
102,096,010,988,145,022,768,023,750,793,582,899,370,232,558,345,255,399,265,
567,460,692,500,167,930,709,643,476,687,032,146,446,004,754,482,621,368,813,
117,901,522,376,515,720,076,268,368,307,857,771,035,818,283,177,023,385,397,
459,510,957,489,839,822,752,754,211,749,116,380,620,694,793,195,614,997,037,
467,974,638,997,497,492,452,022,207,288,859,507,587,827,368,219,063,227,700,
203,322,199,752,131,906,697,848,097,487,201,201,361,777,017,324,477,746,823,
381,700,972,638,001,897,999,637,453,227,394,764,095,928,218,802,269,416,736,
324,021,225,616,072,908,748,536,893,166,223,730,300,991,749,397,775,052,574,
038,411,315,763,767,119,866,249,425,853,764,591,876,928,138,981,150,200,810,
277,913,487,423,776,225,980,253,197,832,287,463,962,144,045,914,511,715,603,
578,257,771,286,178,668,193,874,061,631,398,219,691,144,468,811,403,635,488,
506,163,748,728,091,441,361,561,729,232,754,702,530,309,122,768,881,981,822,
140,417,345,507,215,344,750,773,007,048,733,225,145,332,153,295,278,975,304,
844,888,509,545,790,971,131,095,215,804,648,645,437,355,454,953,357,755,244,
803,905,645,995,391,750,715,733,068,014,158,550,202,946,803,825,355,611,724,
123,871,323,827,304,108,961,367,676,551,232,396,748,385,812,860,249,008,024,
955,301,527,794,235,171,846,546,915,161,791,685,550,316,728,923,995,966,375,
215,138,310,331,623,995,397,503,082,202,967,265,883,561,367,173,494,648,404,
193,600,210,593,241,160,176,105,179,595,036,668,789,329,046,515,497,776,846,
464,416,505,846,617,247,511,655,932,932,214,868,156,604,247,292,280,584,561,
547,201,310,671,232,592,062,835,837,649,778,487,955,892,692,495,073,995,163,
997,033,621,870,344,330,488,179,083,751,452,518,015,503,097,614,066,056,721,
446,797,984,878,384,189,344,671,391,690,375,647,935,903,979,515,924,554,171,
210,959,146,436,837,105,064,015,102,587,486,825,495,877,388,358,873,751,039,
594,580,543,429,615,133,166,919,835,392,692,110,531,058,223,176,422,126,966,
201,801,391,258,932,996,259,772,550,759,337,234,536,682,046,455,118,206,454,
148,689,818,043,852,152,385,503,518,713,954,367,228,326,592,733,972,646,964,
441,305,367,109,142,435,551,839,148,453,139,738,695,497,299,886,348,406,867,
799,681,467,431,727,195,064,639,985,088,829,478,323,809,012,321,348,047,351,
466,308,349,303,304,419,203,112,847,018,417,378,757,068,574,655,488,689,519,
095,683,228,916,690,887,343,765,191,247,440,860,224,411,178,804,745,602,109,
055,513,307,650,810,521,707,796,843,473,039,452,426,826,873,090,089,823,759,
802,390,632,239,255,618,349,177,544,739,365,334,715,596,800,077,736,628,862,
662,297,050,164,708,121,030,818,503,179,715,432,918,398,436,633,024,042,226,
413,427,879,853,994,201,908,529,328,435,634,761,925,330,980,512,751,440,901,
780,127,412,646,281,104,097,215,132,125,394,281,015,831,762,602,625,205,969,
110,653,211,203,316,732,046,890,377,107,526,419,446,276,251,864,231,954,306,
497,140,638,051,487,442,419,438,830,115,949,169,753,544,456,569,256,675,920,
228,383,197,842,437,831,338,460,561,905,953,522,695,643,210,853,974,902,367,
149,369,451,790,019,932,503,755,078,978,362,815,026,885,776,833,524,859,714,
276,631,242,776,696,731,052,261,386,262,082,603,212,072,012,322,853,984,636,
605,661,307,431,942,136,059,833,048,277,826,173,115,005,151,519,007,121,658,
917,212,946,910,922,510,757,798,722,757,715,412,537,997,497,291,869,629,341,
051,667,681,994,842,695,063,944,814,115,308,363,276,509,626,915,191,305,278,
136,650,425,504,972,373,150,821,668,098,307,652,503,978,171,898,893,551,972,
832,292,613,846,823,764,742,970,877,540,200,230,267,829,188,990,519,029,055,
442,708,465,408,345,383,331,563,655,815,506,307,965,905,976,296,802,767,419,
937,883,728,362,533,682,448,065,825,695,825,768,077,406,069,606,768,646,209,
075,093,345,850,188,342,274,898,270,545,765,620,617,322,093,790,345,019,660,
051,636,375,944,218,803,760,004,128,894,244,671,021,909,804,955,408,533,389,
791,290,007,028,494,611,506,278,467,729,819,082,102,596,033,719,595,328,740,
577,011,366,682,385,654,509,950,904,678,845,425,049,874,922,314,078,745,741,
366,654,944,688,794,370,216,214,696,577,314,411,441,482,384,707,521,470,248,
209,181,009,706,251,075,691,989,334,670,433,934,796,590,474,267,854,169,954,
123,066,181,562,595,827,066,691,597,588,268,466,097,291,209,065,683,912,386,
830,244,813,356,657,987,791,590,687,979,238,939,859,226,828,676,414,307,035,
196,199,747,202,728,061,895,931,185,318,923,004,634,201,910,209,553,731,486,
181,957,066,656,478,621,051,055,792,149,022,910,699,507,854,103,872,935,597,
046,574,111,764,559,925,480,214,432,759,888,405,645,711,229,965,396,508,268,
588,335,005,638,831,825,642,947,484,559,424,011,150,610,075,335,939,960,511,
079,705,404,798,071,365,853,999,964,806,393,515,179,372,683,347,641,906,012,
552,363,370,684,825,745,920,302,542,442,179,123,376,103,960,222,912,942,276,
739,148,241,561,754,097,231,836,530,498,754,463,792,002,999,551,244,873,255,
890,618,829,344,720,293,513,588,270,077,297,564,774,043,121,966,422,249,460,
614,057,475,819,967,138,213,457,639,428,843,587,822,476,589,270,639,605,061,
354,366,420,442,828,203,006,430,681,704,714,439,258,667,199,953,768,030,707,
015,161,529,269,736,872,188,719,572,189,397,519,201,260,765,178,870,305,471,
003,669,070,659,959,845,957,703,394,272,873,506,536,652,318,152,030,401,009,
630,779,013,775,494,854,095,742,520,292,028,888,397,514,433,886,646,338,927,
730,105,208,866,423,616,737,971,109,873,543,779,645,455,494,768,875,840,961,
901,275,394,683,964,748,467,184,202,808,525,174,096,132,356,594,465,516,143,
824,643,752,816,868,116,255,593,730,737,560,657,281,875,468,899,117,976,148,
169,096,441,183,354,364,513,512,093,533,084,735,991,641,404,211,246,391,163,
117,584,340,288,397,647,201,736,805,002,134,329,841,837,564,882,820,828,316,
902,272,864,643,649,595,259,048,931,892,776,698,634,741,539,184,575,977,715,
204,292,253,856,043,200,662,034,875,628,968,305,072,553,350,659,207,141,251,
052,412,008,739,737,042,853,477,460,278,690,036,784,548,796,563,703,021,137,
722,520,852,001,236,293,336,252,746,606,960,719,377,151,574,806,761,263,938,
209,518,190,995,580,892,296,457,607,801,459,758,007,682,925,037,293,788,997,
481,931,485,508,366,114,582,584,518,104,909,270,373,539,742,917,635,949,412,
378,053,228,122,880,809,981,463,090,753,659,020,055,006,294,761,917,821,629,
275,121,666,293,416,407,157,072,173,825,857,319,785,297,770,404,805,342,080,
179,955,290,897,140,923,701,397,698,712,473,403,688,063,521,558,536,277,661,
533,307,493,540,017,096,818,631,900,360,817,449,035,978,843,905,533,321,546,
394,027,121,475,307,538,731,227,490,653,216,808,656,166,070,797,496,373,393,
709,520,221,826,621,208,839,996,762,791,387,525,078,303,088,716,330,412,018,
060,129,752,352,721,668,438,944,644,685,489,277,145,963,676,992,877,796,177,
908,584,538,791,195,002,729,047,178,807,966,945,774,004,436,520,360,759,258,
014,342,122,846,926,668,737,318,200,041,441,524,930,255,450,987,850,689,144,
946,676,093,887,661,185,953,882,626,617,505,752,249,217,879,226,452,693,659,
413,240,060,559,172,354,163,607,857,298,362,288,171,835,709,906,100,121,847,
272,489,654,860,171,258,098,095,022,183,997,226,912,362,797,010,375,105,492,
505,030,025,264,107,400,717,798,592,846,488,286,121,104,868,785,732,026,626,
202,094,384,863,557,989,642,117,001,519,466,091,417,901,392,156,479,832,204,
010,837,906,632,475,223,227,904,808,010,127,184,427,431,581,018,865,517,442,
035,841,355,304,475,134,000,360,468,387,824,132,635,470,427,233,686,651,553,
961,232,100,203,174,002,424,805,614,426,486,979,326,370,376,580,135,151,587,
369,160,466,434,320,537,915,769,514,743,161,861,545,895,910,496,192,112,577,
875,307,120,394,668,021,443,182,107,565,759,905,426,595,028,027,662,967,166,
776,240,228,448,655,216,651,123,429,785,023,251,655,588,860,781,463,210,685,
627,165,181,042,824,702,908,089,203,707,434,094,015,412,203,077,621,900,080,
432,753,966,399,327,763,659,149,921,743,889,293,383,906,473,517,354,901,148,
915,814,938,610,863,147,547,493,183,391,655,572,525,719,626,872,980,901,486,
597,743,420,113,731,684,202,792,264,154,769,974,869,909,806,058,916,667,689,
956,630,097,035,693,894,140,395,641,751,083,747,415,525,921,192,283,505,355,
900,325,419,274,192,878,614,702,092,860,719,520,000,890,546,345,547,259,888,
251,587,314,481,774,145,822,695,688,170,190,258,752,407,769,519,437,463,144,
265,019,672,139,661,076,642,727,334,656,293,054,248,083,670,365,586,730,995,
491,687,342,308,927,578,003,001,301,551,533,330,795,835,608,007,223,732,691,
323,948,347,753,133,114,613,979,050,369,572,274,801,768,604,525,865,533,970,
023,768,742,345,083,070,208,426,370,763,625,429,012,613,483,922,866,967,010,
735,800,942,688,006,193,745,324,656,271,235,764,325,107,459,200,053,453,102,
160,122,218,193,039,973,843,480,961,151,242,611,491,331,165,698,749,993,048,
319,826,486,739,409,727,323,671,656,994,933,163,130,082,881,046,786,241,835,
042,125,740,545,331,597,554,643,256,290,309,038,555,791,202,587,927,096,530,
359,076,704,060,102,793,237,482,252,266,225,556,688,496,422,624,735,018,112,
712,612,743,455,897,477,169,234,450,180,075,628,890,454,133,243,348,424,391,
888,521,109,340,574,833,391,005,334,502,187,501,897,584,128,799,395,471,893,
312,643,989,159,647,221,548,720,278,522,453,889,060,833,624,962,949,225,080,
346,304,477,988,126,715,322,796,716,843,477,926,326,700,580,260,118,050,276,
627,323,880,911,717,506,418,404,632,494,888,101,458,881,546,100,304,729,286,
357,603,515,304,168,505,960,232,479,002,289,769,345,891,661,335,377,819,256,
365,450,660,485,931,682,990,895,895,268,944,422,938,511,132,611,165,121,586,
172,964,260,779,704,229,224,464,883,767,496,014,259,091,813,473,303,099,314,
973,564,794,385,090,149,412,470,488,080,329,879,341,870,245,443,317,198,126,
071,127,155,215,155,567,569,096,985,316,125,813,292,939,721,099,048,655,058,
682,278,297,963,602,992,421,778,806,540,064,004,271,707,584,710,716,893,727,
791,711,967,949,051,414,933,267,059,278,142,074,788,824,796,037,010,805,750,
729,469,792,382,018,123,351,608,314,509,905,465,648,826,716,622,798,704,228,
413,828,240,757,121,025,399,656,231,344,697,519,446,052,065,263,305,730,105,
035,866,700,042,562,119,791,199,621,090,164,443,639,433,323,149,830,189,298,
122,520,165,583,953,396,135,283,704,492,177,556,388,951,744,724,242,977,613,
263,272,369,065,611,059,789,493,792,858,081,919,745,909,679,815,714,626,064,
135,092,696,216,083,547,835,390,365,132,543,959,687,671,238,737,888,789,224,
701,631,584,104,324,757,327,573,596,880,323,727,610,199,866,249,763,921,195,
869,203,469,339,655,359,263,730,708,016,999,028,536,642,871,524,791,918,173,
705,660,555,815,592,942,273,916,239,216,188,470,312,231,819,773,114,607,234,
788,301,990,609,310,940,971,728,989,846,570,389,499,859,399,276,263,153,481,
960,256,666,578,501,717,937,066,297,062,799,579,431,895,238,406,085,355,161,
833,143,141,835,375,225,297,356,157,970,722,748,525,753,240,208,927,391,381,
694,975,402,504,832,080,033,294,022,319,774,378,656,158,431,812,276,505,999,
336,239,808,854,847,797,618,056,083,438,730,387,265,802,262,379,092,335,310,
279,024,811,740,978,832,354,093,960,869,011,819,746,248,891,017,541,250,203,
390,885,118,973,803,642,788,687,006,886,580,408,858,002,742,372,985,007,046,
209,747,403,382,909,136,922,023,286,071,120,311,367,604,610,696,691,399,402,
246,962,837,476,569,113,212,469,320,625,374,101,862,449,740,993,310,588,432,
127,115,747,645,784,073,082,924,466,797,663,035,615,358,977,273,746,811,457,
939,226,386,346,552,590,562,987,973,743,647,778,534,763,601,880,142,990,027,
045,950,118,554,446,772,727,227,067,728,067,066,155,452,633,295,504,181,528,
993,903,466,192,524,776,301,069,643,635,017,728,074,299,030,803,009,958,399,
104,602,507,371,244,074,696,788,798,265,871,892,369,731,521,268,540,872,133,
925,079,487,683,746,174,622,780,911,066,263,491,932,767,206,066,666,014,101,
258,168,018,768,852,281,525,525,405,809,793,440,982,149,319,747,619,710,423,
723,132,414,549,889,650,771,349,123,708,333,332,119,112,930,048,959,592,869,
439,689,531,325,152,693,484,524,155,318,770,948,490,488,630,908,044,625,111,
283,812,168,735,514,663,287,709,462,785,822,326,070,797,997,107,006,644,058,
086,383,375,394,963,064,766,468,185,777,681,767,317,456,361,229,108,491,062,
053,235,784,967,525,452,736,902,191,534,862,485,418,447,747,098,477,841,015,
779,194,581,862,899,572,697,444,031,370,967,229,355,935,200,951,388,616,975,
205,164,106,752,291,262,433,570,797,091,626,321,360,837,293,632,588,641,346,
947,635,082,480,268,354,123,182,453,480,184,540,836,259,973,313,471,570,916,
639,179,676,798,744,921,864,573,201,487,021,408,563,364,138,830,591,541,523,
468,893,610,799,318,139,777,132,037,563,115,475,515,235,003,187,977,009,195,
835,199,879,996,875,131,374,757,606,980,168,084,076,105,064,908,846,649,180,
995,336,886,556,566,541,767,960,173,595,529,752,006,019,628,813,175,553,549,
171,893,066,292,138,104,801,747,345,748,270,678,494,515,822,913,768,842,939,
943,352,121,822,260,581,516,149,646,911,781,707,619,825,025,035,678,009,339,
592,444,022,075,649,136,362,501,234,726,920,951,948,861,878,675,102,837,446,
476,156,941,391,069,509,109,074,762,107,162,882,290,830,962,134,009,128,797,
099,318,815,396,637,341,538,298,331,058,944,708,720,409,558,538,106,483,266,
110,801,292,225,196,852,574,514,948,562,759,056,041,300,715,552,885,784,476,
334,985,131,176,014,386,517,484,217,726,029,531,339,998,885,051,350,798,835,
829,523,429,645,802,582,497,780,294,118,399,730,934,228,390,923,063,875,788,
599,629,458,023,616,491,900,166,063,279,615,149,624,368,787,847,836,600,024,
083,863,913,595,157,798,893,983,462,895,330,374,844,853,046,671,453,091,035,
288,056,656,857,910,753,472,123,828,125,782,262,475,239,947,113,649,844,515,
988,052,160,831,280,965,377,521,941,259,572,660,002,354,501,787,783,842,301,
044,858,122,073,116,848,471,811,663,895,669,688,672,651,672,108,652,534,408,
748,228,486,689,598,007,591,782,220,603,217,734,945,997,660,541,862,038,475,
103,563,902,044,922,882,726,367,523,950,080,211,131,487,521,891,444,244,868,
872,759,576,960,521,196,535,808,454,907,845,293,083,692,562,509,008,967,770,
349,889,949,999,569,344,135,670,169,043,952,593,860,216,938,702,710,220,765,
565,303,388,479,142,116,470,545,926,928,046,868,529,811,932,952,237,489,910,
603,114,363,600,516,603,165,659,278,106,149,037,904,359,866,418,534,563,314,
768,440,659,045,439,235,332,743,152,952,698,426,691,222,139,591,991,587,312,
498,908,697,031,018,154,515,270,340,945,359,937,613,519,910,393,915,026,614,
870,081,782,508,243,500,772,804,006,784,354,795,655,213,474,566,041,555,277,
233,275,096,392,225,948,933,904,212,229,304,288,231,072,217,388,783,165,030,
568,871,309,749,781,321,511,862,455,262,971,485,661,987,446,229,129,812,959,
828,577,215,206,252,758,274,640,199,600,337,597,389,981,243,838,699,316,437,
294,875,973,369,296,623,806,826,722,924,105,627,615,498,454,884,233,998,847,
279,349,345,143,640,027,145,325,976,054,093,610,308,798,145,911,054,138,144,
849,874,937,780,124,889,477,732,331,741,005,185,649,457,645,482,881,822,011,
531,699,658,879,640,092,343,858,998,452,671,352,307,080,984,925,587,810,008,
607,463,066,556,900,551,480,522,588,816,961,269,451,969,940,931,135,709,276,
498,526,066,973,532,570,777,061,647,857,108,924,482,134,948,565,300,581,255,
045,244,258,882,004,635,074,262,504,203,241,508,010,196,134,616,699,054,677,
658,615,824,216,117,042,399,881,450,640,483,474,484,027,690,519,945,022,341,
516,812,417,445,617,544,128,481,968,081,678,102,644,457,579,311,866,045,013,
052,006,167,810,336,498,787,557,948,458,489,601,015,498,830,955,811,275,925,
385,037,814,362,213,944,071,117,160,227,614,884,204,681,127,085,942,665,629,
414,982,812,501,380,975,740,401,780,665,287,610,675,326,189,256,008,550,689,
507,337,532,350,884,721,997,130,341,776,657,905,405,908,293,537,681,492,309,
505,961,423,078,065,738,606,299,270,505,049,731,372,200,489,594,576,571,829,
458,050,258,361,761,840,775,156,543,259,156,663,720,967,633,206,670,894,201,
210,907,126,553,962,591,218,480,955,725,535,003,622,114,791,512,406,558,586,
417,278,676,102,890,881,269,762,491,870,556,777,728,650,692,209,618,173,440,
789,359,406,876,997,292,525,265,768,669,194,101,102,294,658,121,957,695,114,
587,677,154,536,498,985,218,196,806,164,542,960,348,537,562,680,341,462,023,
538,113,963,525,527,019,624,683,238,211,920,058,756,958,042,785,085,503,672,
866,256,234,323,469,432,054,916,969,640,579,836,919,965,367,324,954,151,341,
308,500,629,882,758,227,480,652,342,979,296,794,413,300,630,425,649,432,596,
994,047,550,229,025,740,280,729,633,264,802,516,791,349,941,057,743,348,510,
256,608,152,091,606,147,111,348,803,223,072,449,784,192,360,702,185,624,845,
155,355,804,975,357,420,620,823,307,990,021,660,847,159,387,525,484,559,927,
847,348,486,111,401,711,543,430,165,349,896,154,001,316,712,855,742,552,049,
366,909,337,497,269,617,871,709,908,812,579,902,774,044,110,875,909,775,730,
482,718,559,334,914,802,233,050,338,668,501,537,207,796,183,295,258,412,358,
483,261,177,836,062,637,054,006,823,617,426,216,004,495,241,776,764,583,891,
337,982,263,492,962,062,508,348,641,403,101,911,317,133,007,324,501,783,408,
911,563,164,306,316,925,778,530,634,890,984,600,891,701,796,382,069,907,149,
953,259,029,282,400,871,889,651,204,204,580,619,284,812,754,526,336,735,144,
636,266,201,838,064,698,512,226,591,321,307,792,175,858,746,293,007,364,740,
276,451,033,228,537,578,503,486,936,048,269,226,905,648,192,554,895,050,615,
718,731,091,094,232,597,927,719,319,601,794,054,581,211,384,220,211,157,000,
895,392,832,615,891,122,218,708,236,360,013,866,679,975,764,401,820,945,523,
278,150,986,050,375,777,530,897,663,567,826,299,407,867,217,458,662,300,218,
446,736,921,193,901,242,991,465,742,703,837,495,464,838,478,264,144,674,626,
438,827,289,842,991,165,742,782,380,953,509,332,334,916,114,690,967,185,600,
740,674,688,415,853,058,731,649,673,513,900,249,068,409,563,305,779,791,142,
897,783,748,491,531,257,089,891,248,331,493,850,922,776,669,379,605,615,376,
629,573,750,864,879,277,292,382,138,508,807,795,198,944,064,279,409,932,293,
776,116,043,952,270,100,930,577,777,285,944,665,326,865,930,553,538,679,986,
694,467,233,867,949,794,786,271,323,554,881,270,026,337,814,153,829,185,869,
594,799,931,678,465,253,372,022,856,049,405,895,948,952,561,071,699,716,631,
209,540,876,886,960,821,889,611,611,850,065,189,584,115,684,546,413,875,227,
607,375,198,051,809,607,459,675,693,292,125,507,323,366,344,684,387,433,789,
676,676,757,756,926,006,325,396,101,777,168,534,884,172,008,543,970,646,665,
842,637,389,820,323,352,797,116,924,977,559,111,354,143,955,355,756,048,432,
740,764,161,564,514,768,641,023,633,727,250,280,665,702,063,392,956,366,026,
766,467,802,300,403,529,831,135,215,388,796,044,391,353,632,797,286,207,060,
721,359,669,839,329,680,216,250,840,896,936,830,012,323,580,612,364,228,198,
643,683,841,779,231,936,719,380,015,825,835,953,650,970,981,912,758,928,544,
551,351,761,638,959,974,668,629,621,359,686,209,293,229,670,402,740,592,170,
123,225,697,995,831,053,453,535,476,846,691,955,243,039,760,876,142,328,418,
323,930,048,044,520,959,507,034,580,644,343,811,002,018,396,372,245,099,677,
979,302,950,524,471,293,935,539,657,652,001,858,050,860,700,309,333,862,172,
254,184,217,121,053,224,804,344,561,075,085,323,859,450,184,884,455,573,485,
182,407,047,673,566,077,150,547,291,309,215,482,224,764,404,645,162,284,227,
192,223,814,137,338,803,186,865,779,207,171,024,146,081,312,013,189,227,094,
963,261,740,623,746,266,039,224,111,366,567,772,216,159,563,824,580,944,662,
762,789,158,803,345,414,387,526,588,223,756,338,738,319,738,831,861,045,902,
067,725,341,842,327,508,510,866,431,358,844,293,988,951,229,139,266,533,518,
871,592,661,174,248,478,695,727,355,952,720,299,534,972,055,222,991,612,569,
607,503,608,449,222,347,308,237,594,227,701,747,080,337,980,154,415,874,676,
245,154,430,595,184,760,814,887,669,803,627,800,856,923,157,939,722,526,681,
320,034,532,035,630,251,673,030,874,599,626,352,993,531,558,246,539,851,609,
163,163,538,939,145,816,151,765,253,480,636,129,610,468,867,440,130,826,272,
400,633,713,128,925,980,832,833,047,238,562,684,231,776,156,197,126,453,656,
838,192,140,793,499,894,900,339,029,820,959,192,581,297,853,732,577,343,585,
620,417,628,206,372,046,343,958,750,812,386,490,079,295,442,351,461,047,037,
755,884,137,055,630,822,571,865,537,679,443,034,502,573,154,216,285,702,127,
842,958,790,324,160,317,751,236,276,651,395,825,348,469,809,667,086,928,120,
507,273,975,662,626,013,182,779,581,643,390,877,937,434,596,785,460,900,109,
912,565,904,568,267,606,771,211,124,215,549,906,779,793,869,999,917,290,826,
790,202,577,221,729,593,635,859,942,643,235,989,589,070,154,114,601,185,648,
415,513,120,352,402,748,364,382,560,101,444,255,859,322,928,322,914,956,776,
557,964,332,727,619,020,740,006,018,928,260,421,073,639,935,068,362,871,333,
056,860,469,762,251,824,164,030,050,510,148,107,631,525,212,791,675,963,338,
724,460,369,090,544,716,822,711,646,486,238,800,629,782,049,877,136,797,029,
261,401,292,233,459,264,045,152,713,360,104,248,379,972,818,482,724,147,550,
295,564,687,799,973,258,754,040,406,125,035,076,825,941,230,033,119,935,169,
137,393,110,851,394,760,994,498,481,359,571,258,042,109,357,651,538,807,690,
993,339,042,942,305,728,663,179,580,994,675,643,410,323,719,692,400,431,481,
781,247,252,842,426,254,536,168,390,771,983,464,000,069,234,461,146,693,772,
951,278,922,887,162,585,222,030,140,475,313,462,999,910,324,023,768,837,653,
216,494,407,845,052,498,315,181,915,215,442,188,556,649,011,771,412,274,433,
136,666,423,158,256,711,286,938,002,716,093,716,973,466,888,350,680,056,408,
184,860,601,413,857,607,179,790,192,294,386,997,539,215,852,728,645,929,584,
722,658,626,546,323,254,976,741,708,882,041,587,937,968,248,075,969,173,962,
659,185,860,409,126,914,136,003,368,955,582,815,848,941,656,173,636,848,562,
783,151,260,351,644,887,208,225,868,004,808,219,264,221,296,363,161,266,041,
722,184,073,588,039,147,796,619,637,156,947,872,059,122,819,355,697,405,412,
743,415,081,220,912,696,023,811,700,441,070,780,668,280,775,724,905,251,867,
417,983,144,895,912,730,250,689,076,750,925,470,691,088,910,563,139,608,103,
527,558,936,127,604,795,774,819,700,339,216,707,962,789,961,384,093,893,682,
597,435,182,318,913,738,453,216,352,842,145,807,719,715,896,181,465,967,727,
976,174,953,492,028,365,245,959,728,295,740,821,448,363,964,603,796,967,218,
477,238,026,920,098,318,165,894,436,222,395,332,256,037,881,816,957,117,668,
220,770,371,408,231,437,297,613,755,689,974,206,592,540,474,651,738,699,180,
874,981,755,822,711,987,146,733,455,344,981,574,090,157,308,746,216,885,262,
258,104,041,265,412,004,922,917,435,740,113,848,240,900,125,538,341,994,528,
365,158,117,175,969,672,535,154,604,276,148,831,068,021,331,452,552,582,792,
367,392,021,193,046,203,520,722,217,015,335,656,488,752,683,579,482,754,104,
045,771,725,442,030,131,349,197,023,345,346,828,351,302,889,514,367,329,519,
030,148,385,878,048,981,939,320,074,662,415,512,485,985,971,904,166,397,720,
150,183,398,285,233,108,608,571,092,609,701,892,284,614,575,197,654,091,900,
012,040,647,234,772,882,972,663,798,228,729,824,494,400,303,618,170,832,657,
910,533,329,836,399,476,505,807,912,519,248,023,748,901,919,306,078,775,608,
468,434,516,955,931,545,181,953,766,980,710,941,612,295,118,690,706,243,585,
809,182,938,608,761,823,254,278,976,527,101,998,157,702,315,241,517,046,678,
138,031,338,113,630,861,026,347,094,838,595,945,050,054,990,180,141,932,676,
937,269,885,428,731,495,245,999,189,269,014,512,048,465,782,519,532,513,707,
457,737,808,593,280,099,259,165,868,729,906,616,792,990,188,215,581,749,660,
435,498,701,891,624,803,264,411,297,921,634,554,079,046,172,928,789,389,587,
532,076,844,939,943,476,557,966,104,401,551,154,490,837,686,992,602,418,185,
804,447,469,333,426,726,891,976,419,703,056,701,176,650,071,809,852,637,339,
991,870,583,370,411,702,577,607,704,509,485,491,669,965,143,627,835,986,935,
852,464,903,247,900,531,873,164,888,406,048,893,999,475,373,038,721,068,412,
764,325,886,867,729,623,194,285,271,010,937,338,779,554,969,150,242,744,945,
848,464,869,553,889,052,528,464,003,618,674,382,128,912,363,701,662,226,784,
911,868,867,462,109,535,307,789,829,363,525,106,524,927,559,114,985,528,529,
371,233,449,133,530,369,831,954,555,016,124,441,326,440,966,802,213,295,418,
301,245,336,939,572,767,615,348,396,689,271,224,412,277,465,072,936,178,320,
892,156,171,815,282,085,819,744,999,431,347,064,259,191,114,496,107,177,771,
689,315,433,292,319,681,755,483,717,824,834,530,733,093,050,251,807,759,692,
857,212,623,639,501,102,912,056,649,019,784,778,240,378,890,845,155,014,191,
172,352,442,350,556,854,303,184,373,500,347,594,953,925,838,650,404,154,656,
778,581,998,814,526,274,349,966,913,133,015,825,329,132,433,450,555,701,077,
920,823,419,447,973,257,535,945,464,472,567,142,530,626,481,794,761,589,353,
407,044,915,252,911,367,693,102,012,714,240,167,374,511,394,966,815,804,663,
260,633,238,699,036,397,400,968,908,498,834,714,131,265,269,539,906,649,554,
998,351,054,158,111,234,994,260,153,139,973,985,983,980,346,306,738,999,864,
571,854,365,566,013,223,865,786,970,274,941,477,913,244,667,326,068,997,710,
912,813,601,566,735,356,175,092,509,667,314,271,020,780,616,094,207,183,375,
535,223,855,302,343,938,264,605,368,436,659,139,833,037,717,089,742,886,372,
764,010,573,166,449,942,702,354,085,808,358,465,666,520,596,664,944,054,998,
169,280,263,689,806,870,271,880,041,823,202,231,346,914,094,863,741,939,346,
812,919,637,960,395,190,922,303,946,046,383,483,440,631,764,248,096,174,422,
396,875,602,934,284,126,349,378,817,983,322,653,120,804,414,519,357,266,900,
159,185,224,839,904,327,357,689,618,555,213,327,498,103,652,711,931,976,442,
040,944,084,686,981,667,385,695,778,657,639,631,593,322,556,491,722,145,559,
149,448,551,360,876,113,377,276,383,132,131,345,393,233,665,781,812,984,999,
129,367,680,997,165,084,063,847,440,749,823,959,143,762,949,439,343,940,040,
052,753,843,087,657,303,001,973,047,773,689,384,890,794,099,273,506,661,215,
816,270,583,286,617,528,236,437,626,448,891,713,615,461,658,725,862,396,151,
027,865,454,585,546,011,895,167,588,246,033,148,566,384,285,161,377,135,330,
622,130,182,170,993,480,884,756,617,539,190,012,453,931,370,169,997,845,252,
837,973,262,894,852,494,528,118,138,037,923,430,215,046,608,344,840,747,596,
738,286,899,429,026,696,540,443,825,587,669,277,980,940,805,175,095,126,727,
150,970,815,131,552,422,897,173,176,484,725,300,570,694,082,880,159,594,710,
983,436,538,385,083,444,999,007,182,782,506,153,808,574,524,806,336,647,777,
990,860,465,430,745,434,472,342,804,786,951,863,146,667,173,930,343,077,650,
083,436,883,863,525,574,680,494,823,925,374,492,442,075,084,836,005,711,589,
053,311,580,408,893,459,754,255,443,376,406,467,378,318,693,121,458,419,051,
907,316,236,550,170,731,746,868,903,305,478,993,128,357,576,496,285,924,221,
478,759,705,803,866,454,470,605,604,795,854,157,740,519,775,466,901,051,147,
756,796,449,414,325,738,629,786,863,848,477,573,337,969,543,544,121,099,860,
121,135,225,380,300,102,652,728,193,732,966,308,148,694,331,651,520,253,273,
415,715,874,242,992,017,107,841,483,737,733,694,559,503,087,251,953,057,558,
233,804,015,980,550,997,110,069,369,045,425,160,322,401,282,899,425,629,593,
628,874,008,132,876,182,939,324,075,764,880,257,743,076,463,928,191,332,456,
219,509,639,869,110,535,523,572,093,605,813,553,129,111,895,869,786,922,492,
082,966,802,076,997,083,973,482,768,547,083,629,358,866,367,520,449,894,889,
111,601,401,749,947,106,967,474,766,944,465,908,921,770,508,601,997,333,025,
019,955,884,848,862,449,778,532,888,313,000,228,161,937,732,633,121,211,641,
107,895,331,088,637,434,339,973,253,764,554,688,106,091,191,566,720,955,867,
082,072,264,654,375,022,938,189,808,791,738,243,723,897,842,845,213,510,202,
361,036,763,111,050,980,457,132,469,705,863,208,991,802,583,891,001,013,483,
976,417,244,356,802,013,791,193,130,446,087,910,159,288,992,071,298,120,978,
340,162,976,148,402,442,020,750,672,257,984,972,509,330,521,031,912,547,298,
421,131,113,920,699,452,678,887,188,816,182,921,749,723,642,837,246,883,901,
906,569,024,669,496,288,194,926,246,857,609,793,836,702,442,116,992,661,346,
366,143,306,145,370,295,932,469,252,497,401,435,346,915,658,632,437,330,048,
045,070,333,773,108,753,064,953,262,782,228,304,768,230,184,101,218,715,201,
202,556,399,021,727,840,831,107,231,437,435,716,335,403,309,816,203,659,745,
881,093,878,618,622,793,771,179,220,009,205,405,734,422,346,104,207,669,315,
082,504,253,147,715,382,275,093,994,889,246,724,436,148,090,601,683,441,363,
567,568,010,293,779,180,429,214,063,362,989,323,037,406,883,197,936,649,279,
444,169,638,045,445,498,549,442,675,574,993,497,136,580,417,806,347,913,620,
615,897,676,518,867,958,170,466,215,293,134,310,891,897,958,770,428,900,781,
252,711,549,068,609,231,310,191,940,733,117,826,836,637,423,620,365,255,846,
755,049,963,349,719,851,784,268,414,122,388,628,527,047,179,598,062,120,542,
664,002,772,205,848,798,379,659,120,046,603,984,780,289,172,161,613,281,348,
138,357,643,826,944,429,268,677,627,202,292,374,992,173,687,576,271,257,495,
744,909,396,841,931,624,119,587,374,797,944,363,888,232,899,657,597,270,005,
332,176,514,250,910,956,466,799,570,501,647,155,738,112,092,221,957,262,732,
290,151,274,795,346,571,630,713,336,153,802,022,269,901,610,381,520,891,013,
112,275,581,033,781,193,547,718,317,589,094,326,313,255,842,385,442,647,886,
949,568,801,132,479,564,487,650,108,645,226,302,434,321,126,800,316,889,009,
168,207,290,526,838,047,627,192,428,238,249,644,520,210,925,678,458,655,324,
060,210,121,213,545,548,569,191,021,189,394,052,630,859,528,751,611,204,248,
906,789,591,887,681,936,169,645,072,510,112,670,124,895,701,289,964,509,167,
329,577,273,539,627,828,360,994,670,716,928,148,303,249,588,795,149,738,059,
756,524,846,169,255,492,847,160,570,061,859,935,357,636,684,761,933,298,190,
106,350,284,376,744,228,660,879,136,313,311,821,876,001,603,881,149,334,720,
759,247,857,271,037,468,382,666,781,114,596,136,674,663,920,039,039,280,747,
571,299,033,583,387,622,765,616,679,534,913,239,185,384,201,638,350,101,706,
003,772,169,379,656,993,985,784,047,899,675,765,054,615,503,489,553,758,322,
995,417,309,074,744,529,158,730,981,733,359,115,824,122,108,742,858,350,014,
217,593,882,192,881,838,392,510,775,688,277,614,167,287,698,938,079,618,675,
364,823,029,439,930,709,987,912,383,610,239,246,906,601,864,191,306,405,138,
925,600,145,758,994,244,508,824,962,316,129,499,519,176,888,252,602,812,766,
284,350,094,148,875,718,367,935,637,439,210,461,092,836,436,611,724,126,471,
355,313,964,828,272,008,455,152,941,139,213,763,325,884,737,430,753,275,528,
325,175,997,744,009,520,923,783,263,805,013,102,643,993,355,843,161,390,227,
912,115,398,313,968,336,865,283,024,087,461,695,682,831,037,142,976,434,049,
406,712,009,515,306,597,971,905,306,254,312,693,090,451,489,761,101,545,059,
906,601,740,332,912,753,451,637,098,470,762,983,396,004,991,812,326,159,291,
452,219,165,142,413,283,107,082,773,174,094,275,700,932,497,232,650,103,207,
332,136,678,431,378,492,139,929,828,817,342,008,232,043,205,135,687,854,103,
955,819,076,618,734,531,570,709,062,648,867,084,309,346,108,404,582,017,724,
889,204,342,352,582,070,391,849,899,647,557,339,517,950,062,428,759,514,325,
293,968,734,224,465,098,416,669,635,347,102,926,047,475,186,421,675,303,557,
301,923,489,764,457,040,112,042,231,847,498,414,481,722,577,303,857,896,052,
158,076,994,491,616,248,048,652,461,270,014,622,218,872,776,010,772,381,886,
886,408,134,255,767,844,376,098,918,188,598,664,634,473,127,195,178,268,176,
351,386,652,807,169,048,715,274,171,247,911,665,704,493,487,867,363,561,269,
482,729,385,471,034,370,193,022,654,505,358,072,932,210,725,559,139,129,698,
181,436,133,234,501,308,884,953,078,551,925,794,281,037,508,122,237,178,076,
954,288,148,767,130,715,855,735,549,235,256,542,952,064,181,495,675,207,127,
039,840,696,937,467,484,610,456,369,968,559,458,909,518,168,047,473,962,368,
964,063,771,529,562,148,985,953,019,041,532,680,343,591,281,939,086,977,105,
679,154,874,749,393,683,584,535,937,370,370,383,937,806,201,980,477,869,601,
282,264,086,649,297,893,297,609,306,428,469,741,200,196,223,749,936,471,676,
718,412,582,230,220,387,186,872,614,548,391,944,004,974,843,743,436,495,025,
316,906,541,120,686,504,339,445,206,082,801,377,135,706,125,413,177,235,884,
680,621,422,286,025,016,387,383,607,642,563,566,678,991,125,226,345,995,913,
680,810,644,949,267,255,923,057,945,563,759,726,878,391,643,032,761,407,565,
698,163,791,946,497,327,302,442,688,691,034,313,410,293,576,566,585,476,617,
031,045,307,207,321,322,804,508,504,322,322,953,271,064,725,162,319,639,383,
724,229,087,062,923,580,820,039,067,000,481,716,630,360,608,175,852,863,143,
659,905,292,987,865,512,349,660,212,732,330,196,392,110,282,597,857,524,739,
246,665,726,020,056,657,028,783,133,243,610,876,798,259,036,476,651,829,280,
301,533,985,033,034,433,778,851,631,394,070,836,240,361,273,901,091,741,716,
521,992,781,630,671,850,914,469,542,287,698,559,405,498,410,897,684,763,940,
477,698,189,826,523,160,786,204,429,621,764,696,198,223,924,599,151,775,529,
265,464,661,645,355,488,796,775,259,506,029,439,903,956,596,137,270,593,337,
362,623,775,804,330,935,330,043,272,199,004,140,102,486,437,642,527,623,591,
689,466,374,006,704,242,458,493,099,012,875,245,611,794,739,772,457,273,438,
396,155,411,522,432,694,267,638,694,013,955,620,134,547,022,816,139,533,508,
223,812,870,683,127,400,551,113,505,214,857,918,109,916,161,669,840,475,676,
515,190,406,585,485,573,784,433,670,613,314,460,935,760,980,023,433,199,080,
018,903,999,234,794,473,457,838,370,131,370,168,089,330,581,594,171,556,940,
867,514,788,387,735,727,634,820,320,183,176,664,798,421,678,659,620,707,061,
308,036,164,409,301,226,574,629,370,577,053,748,634,875,297,973,544,141,127,
827,645,783,179,155,946,171,373,134,215,527,801,197,831,598,320,224,311,573,
484,947,204,934,834,964,621,902,509,404,865,699,227,111,657,777,883,301,781,
957,903,951,967,231,912,438,989,272,342,414,020,234,659,754,034,246,693,192,
590,412,763,469,244,733,063,877,235,011,206,178,143,071,989,546,259,688,456,
237,859,208,746,612,302,571,334,458,082,205,719,248,419,408,878,060,809,789,
812,982,719,548,305,662,621,248,292,851,949,481,461,381,570,774,188,201,369,
271,561,368,939,580,079,079,945,090,235,564,598,201,569,654,294,032,189,823,
267,469,533,581,309,763,247,822,613,718,057,232,063,888,248,663,376,323,461,
913,384,383,591,497,862,696,388,186,647,609,792,331,692,322,717,269,540,567,
750,423,653,079,134,817,779,741,562,364,312,406,923,605,230,185,926,299,087,
628,864,419,121,170,197,933,157,177,714,678,749,049,325,560,788,391,564,518,
102,769,478,992,483,184,726,313,418,168,927,675,565,976,266,347,878,528,069,
245,757,511,302,207,671,451,248,452,757,318,825,121,521,605,523,351,682,504,
824,541,886,601,877,666,078,480,823,029,150,792,351,815,228,526,960,361,813,
221,771,873,124,685,096,657,124,319,945,097,488,909,122,763,970,070,286,533,
895,207,418,575,089,028,543,167,476,542,099,613,345,771,061,515,709,103,614,
823,282,380,837,152,993,180,346,986,337,084,624,761,867,270,613,261,425,482,
126,656,369,413,916,719,316,087,172,924,293,188,941,644,106,449,350,404,348,
815,565,868,304,074,616,915,084,659,805,935,616,507,866,930,322,919,650,498,
414,903,562,505,876,077,659,441,650,330,857,458,499,819,547,052,672,466,303,
472,256,632,575,537,695,002,723,290,711,215,993,494,688,845,277,345,730,392,
177,471,968,635,920,456,080,376,320,488,200,430,806,174,341,083,383,334,772,
390,739,902,367,024,651,702,795,695,908,801,126,344,355,594,842,553,285,337,
616,981,297,777,757,610,396,198,273,197,443,571,074,626,969,263,117,106,230,
534,917,076,072,087,441,428,570,426,864,233,659,329,798,435,400,597,807,061,
677,006,882,269,714,532,400,773,878,237,620,235,755,818,790,392,139,180,394,
130,499,980,239,578,504,425,842,703,799,266,047,627,739,442,239,509,905,422,
115,808,649,935,353,940,049,099,755,502,587,492,536,617,305,622,850,663,269,
106,762,444,534,665,102,667,575,849,763,725,874,530,058,147,221,272,369,682,
130,372,312,691,614,222,355,533,796,244,773,839,700,197,609,824,501,673,630,
812,384,542,291,613,861,309,552,681,166,044,456,949,385,235,698,897,553,426,
733,563,157,703,818,044,098,760,004,626,379,253,257,877,558,805,766,777,636,
343,747,035,012,850,201,176,446,733,803,907,347,900,273,081,801,249,898,919,
085,756,626,381,503,770,078,106,026,894,856,302,251,509,531,493,007,195,525,
408,262,431,240,635,667,805,247,954,508,488,383,910,052,708,678,049,154,203,
021,308,102,106,715,894,037,084,616,339,412,328,689,197,313,295,371,383,665,
823,843,085,147,170,756,789,860,246,671,755,432,257,243,089,880,243,821,672,
308,501,857,872,904,864,529,580,368,863,870,210,818,848,540,642,670,537,982,
024,912,427,397,046,854,929,453,496,499,085,110,372,002,746,378,735,072,378,
736,790,940,995,506,955,207,658,501,966,906,961,609,837,093,093,149,501,435,
724,166,397,949,557,334,796,352,111,947,794,181,452,111,943,827,977,631,533,
509,756,705,077,630,515,468,704,468,852,872,839,103,999,315,692,123,977,489,
035,893,303,702,119,127,414,940,266,919,012,191,891,754,446,378,831,234,129,
369,452,495,076,659,146,484,063,600,967,575,982,196,719,858,102,325,728,793,
764,328,226,888,743,118,961,319,115,782,089,621,552,064,417,484,858,000,497,
768,121,233,525,400,849,615,365,506,279,805,762,887,546,026,933,884,627,481,
823,387,101,521,553,608,185,552,967,066,675,804,061,492,463,783,371,215,721,
831,764,012,891,670,878,571,452,589,935,444,124,416,597,373,183,386,578,651,
776,036,874,286,679,869,358,927,851,119,616,037,301,054,981,947,358,154,964,
815,118,888,281,914,389,845,482,450,929,466,348,398,529,347,849,130,761,393,
996,489,067,080,772,285,413,796,928,087,611,873,991,686,363,484,343,541,564,
609,632,729,114,953,092,935,646,602,180,177,228,149,279,346,468,813,980,040,
268,453,227,372,409,490,996,809,497,221,348,901,363,946,620,844,944,257,850,
168,932,312,887,829,008,773,974,887,392,240,953,740,514,439,511,416,836,425,
928,251,150,956,352,824,637,928,911,133,911,257,593,596,616,792,617,229,421,
216,765,420,143,732,388,744,158,673,167,733,944,317,470,221,875,738,778,801,
906,869,876,384,735,537,629,444,063,168,120,662,351,843,339,599,593,132,487,
695,683,632,472,710,893,843,873,723,051,586,873,284,911,560,556,099,850,522,
050,920,358,987,286,413,424,845,327,607,337,193,367,975,318,884,619,959,339,
509,810,256,461,797,440,991,524,788,314,909,801,623,486,944,024,269,256,700,
038,224,740,532,805,977,083,115,416,088,430,809,232,315,149,196,137,366,840,
335,773,104,330,261,420,459,896,080,304,776,829,362,376,386,290,548,889,711,
727,921,125,534,193,841,856,918,512,524,682,849,038,296,783,207,687,287,316,
431,887,809,468,075,006,332,328,680,859,372,689,199,574,046,174,057,800,975,
376,787,571,995,994,472,104,780,129,623,106,118,651,094,031,750,313,104,908,
712,843,176,373,056,600,816,061,495,832,890,275,156,518,779,611,897,249,414,
389,572,536,599,970,227,743,051,676,646,175,296,596,637,961,364,181,595,851,
734,312,938,134,551,419,201,406,745,484,483,795,909,908,477,679,625,533,511,
433,554,521,091,737,560,873,067,509,717,547,856,607,984,512,148,555,800,311,
367,525,952,091,007,806,616,657,278,133,596,254,871,887,689,627,137,743,773,
130,243,033,971,016,230,164,816,650,063,104,830,163,267,578,838,729,614,844,
685,500,398,648,282,274,683,919,075,287,530,730,942,814,115,655,270,363,516,
869,853,383,043,469,688,697,522,429,732,178,993,220,995,084,247,801,653,854,
997,177,970,026,652,616,123,610,728,727,498,757,104,733,586,377,678,421,345,
959,714,782,036,127,154,737,518,559,760,214,665,795,929,692,711,079,909,416,
228,323,071,005,498,065,895,010,693,880,759,137,258,358,501,502,039,218,376,
512,359,557,344,373,948,352,299,078,752,001,220,530,226,415,628,514,396,643,
141,875,945,933,333,223,725,974,177,531,647,467,550,191,513,845,881,083,473,
741,942,337,013,483,516,474,541,178,698,024,008,955,735,641,747,192,063,649,
493,734,984,721,186,049,345,317,344,514,954,842,912,403,862,314,537,683,329,
742,437,309,276,509,598,421,095,612,739,951,298,850,494,352,889,593,505,653,
865,083,478,711,602,130,524,029,259,957,715,131,958,015,026,850,029,127,184,
785,058,877,607,065,164,162,929,750,103,988,403,542,368,487,249,025,709,295,
669,178,981,784,483,494,368,630,964,062,168,511,892,052,561,648,352,738,631,
598,302,048,547,703,877,874,888,809,006,412,385,272,136,369,884,725,042,288,
968,032,831,994,737,921,875,909,115,524,524,030,442,488,894,517,636,311,440,
372,665,510,608,926,181,958,703,105,318,900,117,210,842,120,927,564,114,797,
733,915,338,871,464,849,620,342,509,364,191,518,434,348,498,958,025,958,895,
498,181,911,197,421,966,006,384,281,553,157,349,271,087,013,958,542,523,893,
838,407,747,910,156,422,626,339,348,867,265,921,845,870,646,054,794,777,767,
659,342,252,362,823,757,101,550,090,755,806,321,124,003,454,663,153,980,619,
360,788,830,688,680,187,019,712,916,934,600,700,686,188,094,081,933,297,117,
905,200,548,741,505,556,698,877,913,572,326,985,031,484,449,507,674,157,427,
750,067,861,639,578,520,956,723,168,613,173,343,715,683,232,379,335,380,086,
633,643,548,807,449,063,536,248,342,327,796,049,990,727,861,431,338,102,675,
134,901,037,757,171,378,106,631,419,632,548,736,086,269,977,001,449,172,675,
218,780,271,855,331,793,168,936,386,390,159,738,206,112,236,610,716,921,141,
807,402,349,822,514,186,850,392,952,893,903,447,534,390,960,417,248,508,561,
382,719,249,792,209,487,243,134,702,515,401,468,275,694,660,740,468,683,584,
814,443,982,686,250,626,116,909,012,550,902,042,016,679,073,120,487,930,796,
475,901,654,430,588,718,012,098,927,807,731,882,628,482,721,723,562,667,305,
656,582,257,145,399,365,974,089,768,559,163,119,397,748,755,765,812,292,148,
903,819,489,007,249,353,268,791,256,757,463,554,582,934,332,207,068,453,864,
288,338,168,482,103,168,543,347,595,571,971,628,014,845,312,951,229,948,573,
175,894,052,933,060,720,238,787,454,320,419,353,434,087,262,811,173,793,357,
476,086,059,912,918,390,136,741,066,766,652,774,263,312,642,404,491,597,549,
719,944,573,557,500,090,566,288,272,826,187,470,464,011,653,263,897,270,073,
603,154,534,299,909,277,571,038,413,504,042,005,930,642,953,362,789,375,279,
385,764,006,635,273,753,774,363,901,557,855,824,389,600,905,498,366,283,419,
951,199,574,824,677,412,237,400,650,590,580,744,076,991,330,769,326,821,414,
010,024,478,228,472,289,356,621,598,888,104,481,266,386,836,605,053,024,633,
866,462,533,699,938,741,289,682,538,059,666,301,355,690,921,818,418,232,357,
235,212,833,566,912,413,241,047,991,619,766,768,376,556,609,408,395,738,373,
475,967,137,739,785,323,053,398,805,391,483,670,589,073,298,564,140,636,444,
149,384,631,727,261,820,517,625,523,339,069,992,874,697,426,331,196,124,911,
679,899,913,419,834,687,596,787,278,973,259,782,588,373,391,389,497,384,549,
462,335,203,398,111,460,905,496,448,060,871,007,569,781,736,000,458,960,801,
419,087,253,974,622,864,338,174,077,813,430,224,297,752,210,574,296,756,934,
010,701,987,599,947,008,759,010,789,401,892,269,186,987,303,939,402,513,280,
035,538,099,409,974,229,104,326,227,654,181,421,077,098,638,010,750,732,917,
990,100,210,608,397,222,116,368,109,511,322,746,881,149,343,844,164,414,039,
960,594,213,494,083,765,052,380,222,219,471,698,328,282,069,373,180,761,823,
797,918,036,506,999,493,350,187,582,967,137,704,918,527,408,113,649,772,779,
696,674,502,320,129,575,511,193,698,973,239,565,165,202,953,019,248,310,288,
152,545,898,940,528,745,107,637,624,949,033,123,244,644,108,511,613,179,751,
691,107,017,806,002,484,764,668,370,352,397,135,175,655,455,086,525,370,183,
929,563,300,158,406,755,746,262,997,602,530,292,177,465,706,102,027,721,685,
150,130,350,819,586,499,994,813,524,563,742,299,847,656,825,531,170,574,621,
472,962,166,211,373,312,144,700,626,485,924,233,110,540,006,077,621,738,200,
189,536,486,887,156,141,029,184,943,548,954,047,448,212,946,366,347,078,130,
275,622,489,269,385,732,133,737,655,937,648,375,439,322,563,044,542,031,227,
043,760,573,332,136,262,003,921,871,019,333,184,986,328,456,927,490,045,572,
315,443,685,345,940,455,213,567,643,016,598,886,623,759,508,584,999,869,595,
509,195,165,439,930,189,748,706,247,564,404,409,079,522,623,761,103,502,990,
134,369,839,552,956,666,556,448,673,100,945,985,255,259,284,616,785,724,597,
149,076,448,512,783,136,762,161,339,692,846,756,637,886,886,423,288,910,299,
827,832,422,018,560,411,474,553,962,571,427,052,819,550,147,064,799,238,067,
333,383,746,903,945,234,029,691,893,703,815,965,685,809,522,469,224,345,741,
785,979,991,179,310,672,604,317,249,332,803,551,303,250,583,221,546,958,043,
893,351,546,897,843,301,386,962,698,839,666,740,297,805,746,962,804,472,276,
502,090,461,193,475,679,674,169,266,126,422,682,570,621,695,516,960,321,110,
290,353,304,882,975,774,362,079,800,438,270,729,162,602,359,863,385,595,483,
297,385,179,635,576,947,537,188,196,250,859,148,654,324,657,638,586,375,912,
644,777,917,107,573,100,802,523,734,824,302,205,862,557,802,688,077,283,279,
933,743,944,603,345,975,341,045,717,243,418,027,079,482,654,604,583,559,456,
917,693,875,450,146,625,777,184,222,641,834,105,989,716,048,874,066,865,631,
474,322,829,969,178,031,634,218,815,742,652,048,347,653,306,416,844,965,250,
778,172,634,629,522,457,112,095,776,246,801,358,204,216,201,628,022,823,635,
216,360,513,886,995,584,293,381,806,290,907,444,205,150,773,180,519,803,535,
193,928,322,126,253,446,432,991,321,896,758,349,245,824,721,674,552,236,263,
868,241,977,283,890,106,903,823,551,477,562,975,880,646,326,701,412,968,251,
117,326,893,702,799,895,981,291,651,132,852,587,797,386,676,147,014,167,593,
119,830,181,406,194,565,704,361,546,134,535,038,741,478,118,575,024,224,738,
627,036,054,795,490,497,434,395,100,090,697,506,172,236,078,169,488,791,908,
900,376,247,316,441,269,382,103,111,895,002,150,624,771,041,814,385,465,308,
546,276,968,892,310,791,307,080,297,542,339,308,770,457,077,658,924,590,455,
634,782,382,142,426,117,957,988,846,779,266,024,687,029,113,602,496,157,225,
605,300,483,434,601,356,315,839,144,708,560,890,758,539,750,093,748,880,367,
850,619,411,475,901,819,513,086,789,978,129,474,215,597,372,149,095,750,735,
582,640,917,384,265,973,868,179,405,188,215,388,769,520,591,179,183,000,219,
773,120,825,393,043,874,375,328,851,798,909,681,870,320,573,405,166,991,411,
380,123,366,873,364,569,436,201,589,278,147,652,137,573,439,953,316,171,021,
452,993,282,745,438,964,626,767,001,722,536,895,831,326,646,438,597,651,997,
050,883,463,755,857,352,494,719,716,338,133,630,194,946,501,471,262,865,101,
693,338,928,283,879,627,137,587,768,109,575,408,153,796,898,315,754,926,988,
883,013,484,341,292,274,981,674,196,006,605,152,303,036,384,032,567,554,891,
417,964,475,042,449,582,154,544,496,957,289,394,273,419,194,433,392,276,003,
760,523,866,857,087,097,429,091,898,438,026,296,396,512,943,340,880,430,122,
402,186,864,808,874,266,720,471,674,645,919,549,264,247,759,662,913,526,947,
692,143,111,458,103,023,558,555,921,467,553,450,167,942,442,985,927,742,743,
571,709,871,141,131,630,824,644,958,368,161,783,887,473,831,105,368,786,808,
049,333,323,741,301,636,318,285,694,759,395,594,180,594,430,655,398,843,413,
616,502,628,498,195,249,533,667,924,147,748,992,355,867,433,247,310,355,213,
158,512,578,271,664,541,825,682,052,927,250,575,795,530,800,866,409,056,833,
132,798,312,428,366,665,038,689,974,848,427,468,407,623,778,864,100,829,631,
088,382,437,192,315,307,001,220,994,119,976,538,310,368,130,227,868,662,732,
925,727,448,763,733,469,004,635,658,972,989,361,915,909,309,561,977,814,317,
428,962,994,824,549,024,993,448,621,647,220,056,726,443,780,510,428,453,268,
521,372,394,929,239,603,699,309,588,071,212,060,059,582,896,660,282,976,060,
913,349,431,399,457,695,718,002,655,241,800,458,010,991,257,937,178,603,661,
070,545,933,056,192,496,516,386,799,936,550,731,874,824,376,842,417,970,974,
087,019,239,573,866,477,509,713,182,778,494,211,256,503,377,591,297,826,616,
155,155,503,072,916,497,078,564,924,355,059,643,066,375,839,998,486,542,972,
181,957,493,983,395,093,642,569,291,590,007,565,281,922,019,799,599,980,300,
859,238,004,307,168,516,791,409,869,837,750,874,949,414,986,976,064,517,630,
437,119,774,252,076,960,631,530,005,346,557,792,561,099,223,680,368,299,146,
563,885,164,910,896,370,044,604,052,375,723,910,673,132,986,185,158,440,857,
353,948,462,934,120,104,688,486,060,748,759,388,799,418,945,839,316,371,045,
134,001,681,815,043,065,536,899,036,205,993,604,005,464,265,923,810,562,214,
869,097,467,063,467,795,290,019,443,422,649,867,493,371,306,035,007,536,061,
370,170,945,909,134,703,515,908,741,751,334,673,095,066,252,387,879,822,944,
552,472,260,815,891,133,131,039,128,992,667,742,193,380,376,202,597,000,071,
414,688,451,525,168,909,649,653,135,892,625,230,609,937,144,218,033,164,328,
990,017,112,997,082,273,426,606,259,047,070,447,861,408,364,543,608,086,814,
647,007,521,917,903,403,715,735,604,934,491,182,410,116,828,603,354,950,829,
456,690,995,963,373,793,929,479,894,372,181,563,556,851,323,699,240,539,986,
104,739,586,594,430,572,036,562,959,262,812,902,767,555,988,148,569,303,546,
751,849,203,503,861,966,385,056,562,450,160,097,102,427,949,730,006,132,957,
050,262,839,035,061,303,512,508,446,341,968,066,196,876,536,989,709,707,013,
214,757,350,334,149,203,013,092,080,875,906,474,915,919,073,413,487,495,942,
873,237,828,242,144,893,948,647,380,563,821,100,557,222,283,797,595,127,639,
299,887,626,218,209,468,616,790,621,199,901,507,246,789,045,499,294,534,058,
415,599,834,447,409,394,360,998,992,099,287,515,097,094,615,889,463,412,576,
960,496,314,415,814,047,064,850,515,197,000,791,418,216,938,216,651,640,188,
244,424,226,746,070,274,979,509,244,730,392,556,823,361,938,105,395,244,484,
084,778,825,964,564,295,801,651,911,893,873,292,863,459,470,271,512,487,222,
959,652,626,758,332,970,741,958,373,781,661,373,644,849,265,668,402,679,699,
940,537,307,126,771,548,250,195,391,763,164,020,407,777,032,124,765,896,733,
678,754,653,305,870,673,632,390,666,964,033,246,082,409,587,729,830,138,459,
528,703,052,115,158,300,613,715,178,505,093,684,887,728,456,106,528,599,389,
081,802,614,011,882,284,628,020,279,380,775,668,903,249,895,205,699,753,756,
440,581,689,395,927,799,734,300,140,770,890,761,928,029,981,072,632,245,710,
963,709,816,933,381,531,126,556,182,750,980,742,960,684,019,163,050,810,962,
810,248,801,567,847,690,065,673,898,481,556,952,605,885,975,111,738,817,136,
501,631,576,252,310,014,765,918,500,551,376,865,577,089,896,230,246,252,015,
459,949,884,068,766,766,457,068,853,743,574,280,130,148,127,715,332,172,215,
232,124,316,704,061,198,577,914,619,602,671,311,698,319,478,353,690,847,721,
164,118,531,330,342,032,868,664,709,859,666,208,603,217,332,061,073,207,856,
473,878,876,106,952,867,976,158,909,029,090,549,593,577,034,100,212,860,815,
378,908,361,146,107,188,658,562,068,909,547,716,737,922,188,983,560,777,793,
120,323,973,650,582,936,298,587,361,097,819,004,318,477,762,139,824,187,104,
512,913,720,969,386,965,939,083,760,218,762,689,202,660,779,568,641,807,000,
739,216,006,830,442,235,126,020,122,121,699,439,367,232,521,105,478,841,852,
272,394,653,882,995,748,811,559,289,662,772,897,561,281,920,233,453,629,536,
154,673,628,843,502,356,455,541,824,584,010,944,695,202,799,597,763,246,488,
673,639,554,294,708,501,182,181,884,858,853,090,420,644,654,885,477,871,559,
488,639,383,461,752,595,090,066,728,082,908,072,946,773,469,468,817,742,153,
947,893,504,581,481,769,865,129,054,406,520,531,874,752,241,706,324,518,193,
211,369,410,628,451,601,409,980,401,596,138,040,326,977,239,669,331,871,814,
283,807,617,649,390,461,177,771,003,436,863,729,917,494,490,184,837,223,211,
349,251,672,642,621,821,068,622,469,920,654,441,513,417,872,906,557,630,779,
723,503,767,266,117,469,479,535,382,395,077,043,113,331,273,503,810,334,030,
108,860,925,213,424,000,979,354,971,027,686,157,692,717,456,244,067,879,738,
895,410,942,363,823,287,811,662,787,661,041,248,484,738,516,259,496,392,702,
966,428,072,446,470,945,489,370,394,615,389,657,032,853,629,040,980,236,452,
241,863,620,754,029,458,754,974,996,684,601,272,099,190,630,811,753,892,425,
698,107,837,047,026,135,799,608,822,224,138,055,915,015,548,345,280,288,382,
047,502,827,432,446,146,903,505,911,381,046,276,214,535,304,039,832,382,929,
888,046,551,193,963,654,373,027,947,881,317,223,963,823,936,100,242,231,115,
973,801,302,971,462,079,185,290,118,328,499,894,373,991,925,253,542,269,334,
953,288,347,974,070,859,915,351,043,167,155,310,178,789,914,441,665,449,475,
211,977,521,974,075,108,733,859,866,171,981,869,499,206,762,016,319,243,417,
449,637,740,772,709,726,506,820,787,915,829,187,559,424,485,180,091,256,116,
153,162,668,427,516,288,228,615,678,033,636,603,907,260,385,590,113,015,677,
245,284,091,974,265,962,543,742,592,146,677,872,419,890,709,941,644,018,717,
119,008,311,080,655,679,345,148,754,943,459,273,144,863,936,699,475,883,817,
390,763,997,774,078,567,569,437,181,549,961,721,896,597,409,442,258,729,569,
523,143,271,498,965,978,322,402,707,162,615,906,090,407,549,132,754,664,177,
208,823,524,699,210,199,700,724,662,370,802,623,435,462,963,000,064,253,084,
290,382,805,098,600,203,160,453,444,087,748,447,443,922,343,697,115,951,318,
274,306,281,257,529,683,757,768,487,107,441,510,148,931,267,267,575,124,760,
921,593,760,006,560,103,878,032,909,102,789,695,227,661,532,027,848,273,600,
258,439,830,908,808,483,667,423,401,397,892,299,982,346,681,182,485,182,603,
607,228,834,616,362,935,693,772,965,559,798,745,048,276,438,742,974,996,321,
562,360,572,544,317,754,282,554,565,681,132,136,021,973,203,269,124,498,927,
513,554,752,449,035,413,285,137,342,435,297,050,470,614,096,685,346,033,162,
664,624,791,460,204,141,383,720,509,647,423,447,814,014,494,890,683,210,274,
713,782,590,626,318,642,526,365,711,991,081,360,649,833,410,004,405,506,950,
709,936,249,904,444,811,729,924,919,445,162,002,542,643,190,633,574,728,567,
876,731,717,373,634,268,565,585,098,120,836,936,967,470,711,475,951,508,423,
235,360,546,849,339,005,775,513,182,800,468,352,053,917,228,457,414,775,332,
324,507,645,064,325,089,047,370,760,794,177,641,339,774,416,727,934,152,992,
629,921,459,269,759,011,139,190,803,153,062,699,713,056,404,032,275,726,328,
868,525,008,019,736,426,950,991,155,887,826,884,781,688,944,702,457,705,628,
092,367,568,496,008,319,712,369,037,391,004,701,873,079,427,055,958,808,512,
902,806,179,055,740,096,035,560,560,839,247,847,037,317,759,668,889,600,471,
331,995,045,926,007,815,673,098,419,395,220,709,071,758,385,092,092,249,977,
226,115,069,325,911,548,183,879,317,634,364,445,525,451,043,715,658,994,415,
422,142,497,827,701,118,999,595,621,125,686,050,558,694,179,022,125,900,906,
359,848,223,810,578,211,806,609,378,017,647,491,706,723,983,646,873,029,256,
310,411,657,240,083,902,692,304,994,007,570,113,021,956,390,363,710,218,017,
839,006,584,228,006,199,964,731,966,851,212,785,584,422,857,766,535,695,924,
652,288,496,635,589,237,814,806,263,051,878,261,853,326,072,045,987,018,187,
043,181,875,460,266,228,296,082,815,443,544,225,998,419,190,986,406,648,720,
759,765,450,342,820,596,875,026,161,074,228,584,525,711,492,107,337,260,485,
568,999,955,710,838,896,350,751,794,435,930,237,989,120,917,001,126,913,101,
095,727,022,645,127,538,069,498,129,710,933,973,876,374,488,312,068,223,640,
566,002,245,052,731,605,272,102,201,042,603,863,074,662,672,493,953,977,374,
906,989,707,482,407,237,298,052,254,041,521,010,495,004,343,829,263,315,222,
040,478,625,018,318,666,100,414,743,512,860,251,852,329,818,873,104,135,096,
353,770,021,809,673,955,819,445,101,235,992,062,720,944,673,870,307,094,757,
072,656,599,849,879,123,958,789,194,931,541,973,490,237,881,099,819,282,069,
300,260,019,674,395,069,230,908,184,855,511,652,692,953,996,192,523,915,957,
291,090,412,976,105,645,507,978,029,735,258,444,017,981,029,880,693,418,598,
241,704,071,584,383,916,522,070,165,391,533,004,113,831,822,212,659,984,442,
968,038,261,021,110,917,151,239,108,931,658,438,474,518,119,260,835,340,648,
256,200,269,511,608,736,905,359,676,624,200,624,879,757,560,722,368,817,358,
528,345,985,161,737,345,105,990,932,352,291,859,509,928,462,821,032,332,653,
855,187,504,671,026,522,557,148,501,867,809,839,266,534,367,658,548,071,816,
751,617,065,249,661,903,693,698,647,074,836,866,810,098,031,976,856,398,924,
681,613,958,354,430,158,912,175,891,978,104,502,707,011,403,968,971,228,538,
353,286,948,000,556,927,793,303,122,693,201,655,012,132,020,251,045,490,582,
045,993,089,283,910,031,540,389,096,732,406,676,460,039,775,914,766,574,426,
745,820,362,587,453,532,562,295,628,908,541,290,187,575,137,538,253,849,469,
414,020,009,857,436,722,931,532,141,356,763,830,425,921,049,558,936,166,075,
181,981,831,941,164,813,157,208,064,868,455,894,633,272,723,053,355,043,588,
726,243,071,612,658,252,186,729,050,907,272,714,318,010,711,175,731,650,836,
506,745,391,382,076,389,973,597,298,813,915,369,563,855,358,270,877,100,455,
664,078,133,716,237,543,209,532,086,624,321,888,068,342,282,854,091,794,496,
698,185,749,710,308,817,541,618,436,342,316,450,396,998,692,393,694,520,498,
430,162,706,686,436,883,462,994,875,826,323,185,043,161,395,569,299,990,796,
038,449,141,123,093,205,936,056,946,303,079,965,438,204,936,255,127,779,079,
171,817,795,356,965,577,240,587,709,125,335,573,298,849,205,939,715,628,666,
417,004,267,742,917,394,754,111,049,629,472,131,081,276,972,299,323,672,645,
518,535,538,101,647,583,220,138,584,659,362,826,244,889,563,587,542,937,443,
335,120,255,028,277,152,637,944,244,233,054,430,433,647,209,303,389,697,551,
988,636,908,753,418,494,667,975,505,592,333,443,640,086,702,024,443,422,631,
370,066,508,280,614,852,521,478,045,196,833,889,383,476,609,904,530,233,949,
798,723,114,429,211,405,931,010,765,288,031,262,273,360,077,227,187,004,483,
538,741,686,402,621,205,385,635,185,078,986,100,389,266,204,056,153,815,962,
011,519,516,881,102,006,647,683,507,904,338,408,183,652,221,292,915,002,261,
837,012,814,772,669,099,983,099,952,375,560,278,252,754,342,947,025,657,493,
672,017,230,063,789,890,025,034,057,489,479,893,046,558,016,145,292,289,245,
940,778,701,697,728,670,877,550,884,537,466,981,602,504,001,213,443,900,000,
388,763,278,267,670,158,931,862,929,749,709,737,158,530,655,537,224,326,684,
100,936,869,068,625,257,466,004,363,274,634,104,582,187,605,793,307,876,413,
317,881,734,335,509,160,897,021,847,580,246,691,397,273,832,015,251,239,415,
396,875,270,275,952,497,516,802,957,868,005,266,026,295,713,697,732,874,920,
672,616,967,749,363,185,960,559,543,360,959,303,415,175,781,533,686,279,656,
513,046,464,611,122,289,426,064,752,233,630,471,190,242,747,924,030,147,124,
820,393,712,858,784,680,417,813,096,671,456,990,925,242,643,612,212,439,214,
921,727,878,769,058,634,922,171,300,513,703,633,374,402,741,450,468,157,018,
792,626,161,420,729,725,704,181,085,953,805,940,797,565,664,838,664,155,812,
795,971,033,033,992,125,332,619,397,072,726,848,690,278,755,862,337,793,848,
633,421,392,643,165,683,756,186,261,849,699,545,924,850,846,476,808,509,912,
904,967,087,079,233,415,741,680,477,304,888,283,118,681,064,714,446,701,078,
177,392,792,140,584,605,184,385,336,301,869,933,630,454,172,714,153,461,632,
039,574,152,035,375,063,758,058,667,984,469,921,856,511,610,300,817,515,793,
986,997,826,836,415,207,012,746,165,775,189,253,073,921,468,358,312,999,906,
413,328,296,254,317,923,538,160,006,673,347,682,481,398,778,695,145,742,710,
894,323,660,458,656,903,871,529,185,700,256,386,905,885,774,017,017,258,710,
117,352,875,236,879,905,511,295,185,621,926,547,761,647,937,664,209,284,730,
305,854,046,940,881,234,897,984,465,492,374,821,887,985,110,554,929,527,659,
669,049,915,476,087,468,763,173,214,549,359,672,593,343,813,471,177,824,854,
705,652,509,786,139,087,852,585,879,484,218,617,785,093,458,840,211,780,699,
025,138,921,498,194,355,648,333,436,533,776,233,555,757,496,325,202,019,356,
981,976,893,841,165,708,800,620,483,366,659,780,793,336,479,022,531,459,169,
189,211,503,521,416,747,233,975,452,391,784,060,754,303,756,662,519,150,482,
368,800,436,190,356,778,009,684,245,216,867,627,233,994,693,474,800,812,262,
515,098,022,965,580,096,411,855,172,701,673,378,209,790,882,602,256,429,221,
022,343,683,442,583,890,881,117,632,322,048,968,680,011,524,725,147,642,138,
945,683,889,831,455,751,440,652,425,665,158,868,230,080,855,208,658,086,717,
358,260,174,183,409,565,635,824,849,669,972,624,294,230,641,008,123,690,673,
429,214,969,716,401,110,449,944,284,440,171,100,131,892,131,734,457,897,538,
966,588,090,922,867,120,299,187,405,836,446,592,221,023,682,522,909,458,548,
301,517,287,759,483,270,843,389,389,558,022,345,556,963,769,988,627,967,961,
738,293,560,402,207,125,008,548,712,646,250,785,948,696,413,522,251,629,478,
485,450,853,898,205,592,268,579,054,855,117,696,649,976,878,769,899,672,451,
462,113,187,447,491,292,530,670,985,022,734,148,962,395,344,840,306,774,597,
137,616,528,847,937,075,878,201,085,875,350,537,261,616,258,274,167,053,329,
731,504,886,154,914,083,103,814,054,092,504,925,939,301,635,531,336,652,262,
514,906,053,951,266,869,014,856,307,561,994,048,392,027,299,365,604,326,225,
846,342,788,656,188,192,688,255,000,608,460,911,115,952,434,443,667,873,786,
535,317,768,313,315,491,231,320,149,243,083,581,752,941,278,826,100,844,178,
033,216,612,963,045,401,275,328,797,391,950,912,919,389,298,458,682,218,522,
355,670,658,656,128,370,788,203,615,488,346,723,659,813,037,141,574,379,020,
717,647,291,403,585,277,128,592,273,312,686,035,679,602,070,245,124,352,712,
139,152,392,359,091,851,620,677,135,584,191,544,262,902,117,231,080,892,687,
713,467,596,346,991,119,237,418,017,564,622,974,468,538,492,016,936,834,492,
813,385,788,330,599,068,582,188,810,874,698,101,048,660,708,699,920,726,355,
072,346,897,765,776,901,070,459,070,726,259,095,137,962,869,233,587,010,254,
286,496,275,671,081,841,655,048,269,062,000,189,067,006,156,477,469,326,705,
881,961,724,775,869,099,583,451,409,593,209,632,736,737,699,398,089,877,482,
078,497,699,392,811,783,875,688,181,522,962,969,608,562,931,361,735,776,847,
072,448,057,717,261,258,547,014,684,475,990,872,437,559,345,414,148,344,223,
251,129,139,545,352,223,259,578,258,115,092,641,083,380,517,337,472,835,018,
626,852,443,617,248,143,120,346,011,723,699,370,531,971,646,193,243,341,483,
425,166,376,971,619,044,433,223,968,529,959,653,568,291,850,243,117,248,495,
396,196,646,383,460,957,825,992,823,996,949,032,153,120,453,425,897,265,780,
544,277,051,254,176,930,994,939,759,829,313,005,388,848,728,175,262,183,485,
448,823,031,671,399,134,534,752,936,856,172,375,185,389,475,109,096,398,368,
013,085,166,407,743,978,652,234,456,605,196,725,889,574,547,186,469,379,055,
673,784,604,938,434,052,038,845,982,283,619,736,976,478,121,167,886,394,661,
175,038,042,602,694,523,973,428,992,804,046,113,248,539,213,469,595,196,963,
703,651,327,568,032,758,417,490,032,034,597,525,162,115,710,002,415,338,565,
039,061,900,371,223,640,469,978,737,310,067,228,353,076,891,396,410,667,479,
259,900,488,729,787,336,855,358,008,711,281,068,485,941,467,499,762,161,861,
666,182,117,450,607,431,882,292,813,702,826,829,717,129,987,728,410,928,708,
483,962,746,243,270,893,899,043,316,760,103,599,531,389,315,043,858,296,619,
220,125,558,744,990,490,323,131,879,803,654,930,175,880,487,067,427,737,978,
558,611,049,788,319,595,723,496,464,032,061,226,348,763,340,149,900,967,571,
242,476,636,209,964,840,253,610,617,809,935,373,293,967,879,792,345,936,224,
745,252,763,580,783,247,021,800,373,410,542,545,760,606,822,532,915,111,458,
139,503,569,091,370,177,231,478,147,231,208,015,019,752,252,179,638,053,277,
108,345,748,020,281,996,216,500,088,913,587,700,560,722,176,289,496,181,919,
002,430,204,625,072,241,002,897,775,709,787,745,690,498,813,574,845,707,488,
122,431,667,870,032,385,460,340,058,635,170,387,525,476,682,404,677,170,951,
947,094,566,845,626,275,973,080,521,404,421,249,366,283,569,656,888,370,930,
203,684,147,697,788,519,227,420,506,704,235,562,483,760,412,544,033,380,516,
604,093,078,107,502,098,350,435,031,455,365,273,436,248,738,171,928,855,698,
220,874,779,988,066,911,436,179,546,024,897,433,394,201,282,430,457,312,148,
074,805,738,743,445,527,435,170,017,214,438,823,610,795,118,808,775,297,409,
246,822,898,652,631,640,174,209,069,014,472,969,980,399,961,171,954,202,166,
595,329,937,819,181,440,430,761,589,305,721,017,337,479,102,290,575,160,701,
182,363,230,443,383,317,007,111,102,130,397,736,163,545,330,134,173,029,964,
898,257,692,228,740,187,534,501,903,958,164,191,199,525,572,484,057,050,073,
512,244,596,585,111,844,560,508,530,585,602,177,487,659,843,213,267,510,294,
757,004,739,145,700,574,144,136,761,978,394,097,094,508,693,495,645,696,758,
535,695,740,996,012,535,492,388,997,198,929,771,399,088,839,415,146,325,958,
852,547,057,349,264,044,654,028,495,935,308,925,466,123,912,277,515,703,099,
558,846,228,613,866,170,803,395,069,095,335,924,937,949,477,044,280,362,093,
534,346,462,505,754,321,990,557,681,718,754,029,658,032,868,471,839,437,368,
352,629,708,758,097,699,928,809,261,590,029,651,937,883,365,893,854,984,427,
312,174,681,883,887,187,278,701,958,506,650,680,507,122,724,457,536,403,309,
914,409,227,547,450,146,212,808,793,357,788,928,761,687,044,637,048,998,099,
284,202,418,700,774,001,633,342,449,102,927,224,927,584,271,864,521,193,665,
975,978,078,897,023,545,941,099,000,105,328,835,608,195,810,280,243,807,038,
034,770,692,304,880,328,411,579,717,787,904,848,053,113,996,258,422,287,938,
179,550,315,447,845,359,538,583,163,946,335,345,994,293,367,925,478,024,644,
911,498,763,544,809,221,602,327,691,505,309,722,380,110,477,706,885,978,770,
597,204,805,777,819,944,126,763,887,699,333,892,958,465,980,058,839,892,192,
808,516,002,431,823,884,738,769,926,891,671,416,107,155,041,767,676,416,376,
706,786,054,982,364,013,788,808,973,493,610,862,439,022,808,274,767,058,049,
054,198,957,988,697,396,376,334,244,427,712,374,904,055,595,686,103,291,335,
109,180,415,602,349,353,106,065,532,348,479,463,597,872,468,406,480,729,581,
644,859,449,490,935,105,656,170,040,664,591,340,313,244,209,703,048,886,914,
165,132,248,964,528,872,079,070,753,061,968,873,171,010,484,408,550,010,278,
425,664,581,720,402,071,666,014,439,162,280,470,077,205,026,302,175,761,560,
736,696,515,277,888,782,195,175,329,691,612,564,707,128,362,235,170,445,648,
067,886,602,632,723,153,687,401,914,499,862,652,272,848,306,676,659,872,140,
057,884,553,572,759,597,194,136,905,456,673,936,470,114,127,499,580,250,717,
807,546,421,106,483,732,190,574,740,184,970,396,852,568,019,551,756,919,526,
337,896,382,797,239,333,369,857,810,763,540,073,032,221,594,968,690,559,481,
842,195,327,510,955,981,353,597,399,269,187,413,504,508,830,730,553,447,458,
483,931,322,801,898,146,876,780,435,140,488,207,045,197,412,992,701,273,668,
448,298,662,251,546,455,619,702,216,308,390,892,939,993,835,921,151,595,265,
744,391,587,395,168,699,648,399,524,844,047,015,134,067,422,194,315,616,640,
600,032,549,712,787,784,281,186,100,745,889,626,510,917,199,400,877,379,044,
974,443,733,670,034,022,935,281,252,327,241,021,191,053,783,009,208,016,496,
411,020,896,194,860,390,711,171,045,316,843,198,041,660,466,383,094,818,491,
540,607,261,328,575,188,841,591,343,035,385,651,783,551,691,015,534,145,491,
837,561,626,925,056,087,685,885,752,520,836,051,822,508,373,889,396,853,681,
428,044,520,586,237,295,179,783,949,523,521,351,408,800,249,055,200,502,549,
477,573,014,178,640,707,516,341,291,285,740,613,716,359,179,831,044,551,000,
949,475,793,480,709,134,102,522,543,659,426,607,819,841,888,771,036,274,103,
597,406,475,861,224,894,975,242,603,222,312,467,467,931,903,108,234,817,397,
521,347,779,494,512,660,326,698,161,351,770,725,417,087,680,196,730,597,475,
616,746,766,393,490,314,441,778,840,640,662,363,696,338,170,965,052,722,031,
966,538,741,203,645,074,175,068,058,637,327,201,495,531,997,859,771,215,996,
141,553,498,548,792,355,471,408,752,625,675,462,764,261,892,427,305,499,279,
837,444,141,362,463,913,258,291,246,098,753,708,427,618,411,177,147,189,664,
806,730,345,962,791,118,613,436,460,916,327,747,591,074,056,142,956,657,360,
744,995,641,013,520,065,631,999,946,339,907,448,742,324,286,264,082,748,617,
087,042,720,719,649,038,735,896,865,678,779,917,077,982,298,731,162,524,865,
882,361,019,929,206,566,499,933,157,202,878,573,705,348,528,480,635,093,537,
031,981,349,702,144,471,884,222,607,742,265,141,428,306,168,178,962,026,194,
059,869,307,250,776,164,547,339,509,780,599,830,275,390,264,855,849,657,402,
757,552,335,127,064,442,197,576,681,936,759,163,237,605,301,671,388,869,336,
112,418,382,376,654,958,101,834,838,007,157,469,953,478,839,456,356,563,760,
657,911,505,429,211,886,749,938,191,499,850,776,636,504,813,226,794,484,357,
847,575,624,129,747,033,878,103,570,407,923,127,579,415,718,481,710,487,917,
186,122,470,210,856,433,462,018,565,228,447,409,398,965,968,480,649,542,276,
959,677,941,419,350,361,237,924,729,712,490,605,312,302,049,340,244,461,445,
093,970,265,899,511,650,858,806,956,585,689,883,889,855,538,744,190,195,121,
029,386,556,362,839,774,272,894,750,702,052,499,368,588,798,271,368,326,509,
502,177,042,967,587,779,998,157,546,056,138,097,848,162,199,034,283,193,359,
468,297,993,378,036,813,186,537,639,240,871,257,984,944,509,015,617,652,441,
261,440,741,216,331,646,201,683,588,089,969,517,106,791,585,397,631,625,131,
728,567,935,264,277,177,504,604,394,606,342,137,823,424,416,507,767,530,831,
295,067,519,161,798,450,722,037,404,988,643,217,329,511,814,612,265,426,386,
348,911,391,221,015,594,046,768,559,246,079,361,234,667,263,393,158,982,761,
644,960,595,343,799,381,366,571,255,669,134,213,519,401,809,740,236,495,078,
955,919,441,678,963,838,406,028,098,901,851,235,907,234,147,758,858,695,653,
788,931,796,379,468,361,389,507,180,494,794,031,878,926,125,496,077,028,672,
833,373,738,571,663,850,236,693,396,295,705,661,474,986,066,446,521,168,460,
606,088,906,306,180,642,891,300,528,035,204,705,839,414,154,495,780,879,635,
025,138,424,144,494,471,210,556,907,073,608,408,342,066,009,599,726,750,494,
494,886,501,944,786,009,314,943,361,828,946,221,170,890,353,342,891,268,176,
721,429,959,164,427,228,998,415,487,309,713,067,325,318,949,328,717,817,642,
237,665,717,113,951,075,747,060,318,326,970,885,756,525,134,309,452,900,318,
585,765,583,704,260,285,280,173,564,898,789,173,345,809,998,733,380,096,125,
122,216,392,651,429,163,856,441,082,693,965,066,280,594,664,775,553,635,944,
854,286,073,514,840,228,444,383,489,260,173,018,340,391,292,001,089,735,141,
502,785,530,906,723,344,201,423,760,452,792,459,580,189,721,725,207,352,919,
348,989,055,645,505,175,710,417,585,125,695,625,973,146,668,011,052,167,412,
408,242,932,963,303,609,019,527,510,711,550,476,203,098,049,416,568,568,705,
534,733,920,098,467,849,716,449,506,590,157,719,957,468,676,238,727,489,142,
461,501,795,206,507,346,496,374,014,568,826,251,752,179,375,925,789,920,188,
518,504,185,868,180,579,540,730,655,369,395,243,078,134,075,724,543,266,152,
095,707,564,510,229,641,889,172,638,215,113,018,291,916,100,713,972,679,661,
688,285,795,400,407,805,906,613,673,829,127,352,237,820,945,989,286,053,482,
362,012,447,261,008,234,492,436,084,617,858,376,835,561,686,893,489,850,998,
903,034,637,203,359,542,588,543,430,937,094,535,030,184,502,754,800,507,335,
764,856,969,745,490,858,067,367,694,816,389,366,974,587,354,280,471,643,087,
968,227,640,868,585,900,322,751,594,389,325,690,482,333,716,687,317,330,090,
840,010,086,674,622,392,189,097,390,707,031,597,628,021,419,924,879,659,418,
272,614,986,377,818,458,010,029,299,061,190,402,202,946,573,772,686,049,459,
348,001,576,682,548,658,556,624,970,920,101,527,837,538,362,069,045,835,036,
997,773,483,716,588,648,743,292,539,581,680,668,448,210,673,763,999,125,466,
525,307,484,483,470,857,774,523,712,185,434,673,378,235,005,381,241,516,669,
237,865,722,918,054,077,090,525,993,149,060,612,636,106,951,313,371,619,431,
504,155,938,003,823,714,394,696,653,099,951,116,725,718,666,693,934,541,560,
293,078,845,200,783,836,439,763,263,658,420,907,927,374,274,412,201,106,050,
890,920,708,150,277,014,163,368,698,681,627,888,903,307,508,184,061,752,676,
785,440,068,545,286,484,442,438,279,834,227,652,555,102,329,628,042,947,064,
246,630,317,697,948,409,360,888,753,134,565,400,677,806,651,487,537,019,906,
094,343,386,592,595,216,403,641,207,098,671,665,973,726,318,956,550,595,442,
323,494,504,472,248,914,595,172,475,651,977,056,088,814,538,449,260,463,226,
543,852,575,008,776,759,421,509,178,773,448,078,108,089,896,262,157,870,523,
803,300,922,266,308,665,414,997,441,439,713,798,160,997,583,793,647,653,101,
779,345,464,053,173,037,489,842,612,483,295,950,381,389,780,824,937,792,367,
444,682,962,901,746,893,372,258,232,635,502,709,310,815,631,565,007,170,427,
337,102,158,707,725,521,133,310,810,704,780,731,984,856,223,848,343,954,964,
541,170,534,958,590,032,830,268,745,527,477,767,941,372,003,039,894,760,961,
890,910,939,967,506,391,219,467,663,454,617,654,745,937,052,361,527,742,152,
725,488,410,183,092,754,288,015,056,670,760,060,935,124,630,984,349,656,496,
177,375,818,419,102,474,909,434,711,049,402,697,672,339,618,424,946,835,754,
183,079,084,042,993,747,678,484,059,904,386,442,527,401,664,868,919,565,119,
944,953,531,275,745,636,477,248,146,637,189,050,739,287,552,892,216,623,608,
859,417,561,807,888,382,346,462,956,923,203,676,005,574,290,698,240,646,086,
473,747,042,298,904,034,113,648,736,984,154,362,586,995,298,858,877,016,475,
434,619,634,480,139,522,730,014,522,265,324,535,721,297,042,082,084,858,697,
170,184,048,545,264,008,287,140,436,676,325,967,398,023,482,891,861,009,242,
752,255,501,483,445,558,127,270,092,644,140,872,715,009,808,537,797,078,159,
094,849,014,382,274,680,689,889,268,893,375,791,090,483,622,450,659,239,700,
664,057,010,375,079,636,318,825,328,462,266,965,859,814,425,973,262,457,451,
166,808,843,761,112,792,488,425,623,168,686,555,196,044,765,553,013,702,936,
644,010,424,330,486,535,663,876,654,555,088,260,138,991,564,279,963,319,624,
525,873,665,939,552,264,381,130,902,015,393,082,227,859,898,847,599,061,021,
049,813,501,656,901,172,006,893,964,843,983,749,422,173,107,376,272,557,552,
826,375,788,218,619,503,176,883,722,550,322,335,601,674,651,528,002,228,092,
644,052,937,876,143,560,316,317,834,608,775,820,551,042,169,611,909,940,396,
368,199,339,097,589,966,721,544,673,579,376,052,247,943,291,250,281,992,342,
316,971,312,481,346,872,997,345,904,338,667,059,295,631,849,724,652,917,972,
462,962,297,689,536,422,856,066,690,989,248,469,511,083,006,755,839,848,767,
738,377,170,189,839,418,944,024,706,088,522,010,672,422,679,701,408,362,680,
998,383,097,043,760,518,706,288,896,388,541,532,061,321,946,611,786,578,617,
383,926,765,242,612,377,128,077,460,536,910,487,878,679,361,182,663,831,998,
966,336,504,784,290,351,377,332,526,014,057,908,084,668,194,346,777,535,661,
274,418,410,124,722,680,181,653,749,909,101,684,658,675,603,388,757,435,200,
194,628,618,078,714,573,512,732,121,811,638,499,831,477,501,611,234,292,620,
411,149,683,288,376,837,796,770,874,991,759,242,288,402,541,341,069,944,296,
641,604,252,101,353,960,738,926,530,562,619,277,207,616,356,803,182,050,210,
671,642,981,581,954,674,962,080,020,852,157,720,914,513,564,931,481,672,617,
704,942,676,455,561,073,219,288,178,171,957,499,773,104,659,790,333,847,511,
294,145,057,118,214,583,549,172,462,387,482,842,368,625,355,928,633,531,227,
981,850,409,741,281,972,593,784,600,095,017,057,572,536,260,480,970,085,235,
056,126,646,024,239,328,248,736,674,518,106,391,749,771,031,122,760,633,309,
429,957,629,086,092,536,418,931,197,764,458,294,494,996,409,301,557,192,812,
154,042,448,440,237,687,155,246,581,751,613,017,668,246,600,577,174,035,355,
195,900,294,288,272,104,852,669,426,679,574,693,934,233,394,039,952,935,027,
287,232,426,402,710,115,479,156,816,586,944,544,778,653,393,228,506,332,817,
120,657,249,635,173,273,793,859,557,970,866,780,225,370,294,761,686,038,531,
498,431,285,235,967,716,551,606,107,429,077,207,543,642,400,524,284,921,677,
949,328,936,727,470,636,462,041,673,783,358,072,118,049,165,236,703,131,663,
028,839,220,458,926,312,196,508,575,638,010,865,503,730,053,356,199,685,138,
057,702,133,559,061,501,899,161,058,115,939,199,438,488,770,713,081,793,305,
488,054,305,954,261,475,448,424,560,185,279,778,056,605,970,587,112,643,371,
635,136,166,769,770,489,103,421,259,039,243,514,104,976,161,789,623,080,162,
267,823,755,512,741,734,090,258,580,118,951,659,779,421,094,005,458,791,666,
855,441,791,223,734,879,093,374,963,176,370,732,174,318,863,128,348,083,426,
998,902,364,106,849,483,166,416,199,198,960,097,098,883,413,472,728,941,330,
597,800,875,731,113,122,651,245,927,534,640,221,035,244,846,411,220,738,511,
002,760,102,149,215,506,001,993,019,747,896,065,239,166,673,576,442,688,931,
573,583,461,255,759,418,738,574,127,828,966,112,221,393,358,414,646,438,747,
284,100,067,572,381,827,764,058,842,561,825,990,303,759,411,066,395,343,531,
868,231,190,126,281,054,276,712,307,664,154,439,119,300,174,247,476,576,908,
056,492,839,822,142,910,702,712,489,402,330,362,191,681,755,589,722,984,111,
233,434,656,705,832,588,980,400,025,781,814,235,280,183,450,340,399,284,159,
715,673,591,080,741,192,745,613,430,712,156,695,865,319,530,124,529,968,331,
840,012,748,110,175,451,156,042,095,926,029,229,447,504,522,392,312,239,918,
944,648,920,257,832,154,826,797,254,833,507,119,770,559,540,291,905,042,996,
175,087,728,929,078,922,881,901,947,030,406,470,188,041,327,413,991,425,174,
775,602,228,887,901,381,882,077,712,929,063,096,737,621,599,607,579,137,695,
157,514,096,645,377,971,731,384,967,276,108,084,911,470,483,791,977,036,753,
556,756,726,831,625,238,904,020,207,425,724,920,431,796,431,464,240,980,038,
360,731,036,578,360,056,927,677,436,376,654,676,737,865,533,180,245,516,869,
522,066,924,245,781,782,748,768,012,534,612,058,001,298,767,731,705,957,570,
862,454,670,830,497,867,442,544,881,069,673,443,022,571,362,524,677,166,067,
430,755,498,799,232,840,782,677,209,598,886,474,577,843,169,381,486,299,643,
293,290,528,063,781,466,964,477,282,775,723,744,243,927,696,046,711,234,121,
641,346,806,064,882,445,959,710,166,245,564,107,250,609,503,596,768,419,035,
784,374,400,250,152,442,562,679,233,685,645,835,096,977,030,419,059,427,494,
820,430,902,696,099,116,958,799,111,348,690,989,621,767,400,726,106,577,103,
402,165,969,143,183,752,755,432,984,891,202,738,573,291,839,500,524,787,975,
281,584,060,821,836,322,193,635,270,102,787,672,187,550,353,165,322,705,828,
157,451,332,079,215,676,368,944,842,573,559,521,458,149,657,982,927,855,939,
889,770,347,901,120,566,206,687,305,922,615,903,381,340,819,177,889,205,543,
011,435,275,686,079,383,720,234,147,335,062,687,904,201,680,677,739,829,534,
275,457,918,795,605,927,586,377,622,522,229,186,635,548,313,204,332,066,615,
359,572,241,787,158,973,326,567,029,756,079,102,799,991,004,871,477,550,773,
601,863,424,969,277,982,552,701,210,464,304,558,049,989,015,732,822,679,943,
407,770,912,437,997,014,210,601,775,385,941,581,692,372,887,918,904,234,517,
065,679,460,418,710,131,981,900,111,873,705,127,075,101,198,647,271,822,513,
326,098,729,108,230,994,286,178,925,443,251,494,751,817,716,386,363,788,373,
795,539,267,112,994,439,251,364,313,718,495,089,337,572,381,983,217,724,757,
318,051,503,851,389,582,901,303,821,322,427,017,454,323,619,993,059,996,490,
234,270,869,157,677,061,626,305,726,129,894,932,689,026,705,872,382,185,454,
981,549,488,591,839,579,477,766,041,186,892,990,418,846,982,939,251,851,904,
900,538,466,705,109,075,241,705,188,153,858,087,432,010,049,914,070,637,503,
059,214,983,041,221,219,704,800,899,786,163,071,892,043,769,190,071,870,851,
291,706,574,596,001,718,775,361,168,509,597,503,262,430,529,851,006,584,571,
407,640,080,016,330,007,540,550,799,844,786,694,655,880,362,252,635,814,588,
915,813,223,494,497,212,801,479,495,066,725,724,392,881,629,473,935,094,281,
562,040,615,256,889,504,365,023,395,595,261,238,860,140,661,305,538,850,020,
043,663,015,551,354,733,751,005,667,304,165,645,284,299,715,176,197,430,603,
001,756,533,329,754,756,425,823,115,947,793,655,288,340,051,795,497,990,326,
492,461,302,429,247,690,085,590,694,084,700,422,236,697,193,349,547,999,170,
405,322,404,551,145,610,700,903,536,995,931,893,957,226,741,751,654,574,685,
044,075,993,791,328,324,367,490,757,521,012,885,768,767,414,526,217,977,625,
795,392,450,066,427,585,726,316,229,589,948,052,651,276,492,477,549,094,874,
586,848,112,387,329,484,389,795,946,083,708,426,910,413,141,683,372,295,482,
117,294,926,226,248,692,426,901,581,706,960,249,713,501,546,270,110,414,141,
803,791,846,012,059,178,263,495,670,556,796,342,411,049,353,981,111,621,694,
357,024,193,508,297,752,073,259,037,621,835,067,089,181,746,164,934,212,601,
813,516,603,906,889,269,628,998,276,302,308,406,997,859,875,845,640,027,466,
724,689,017,046,874,711,957,269,645,495,236,404,117,690,292,262,649,667,500,
667,839,040,446,117,899,369,436,456,279,563,988,290,740,096,328,038,594,464,
528,540,324,942,337,865,361,539,496,459,066,612,770,038,497,981,892,469,030,
895,687,927,930,878,929,044,099,958,273,578,270,569,730,868,796,636,709,553,
257,306,452,079,648,459,977,472,441,878,890,301,160,027,656,988,995,270,521,
264,974,486,211,189,891,378,252,928,373,656,708,562,060,532,538,455,715,863,
015,383,443,253,919,879,829,270,561,080,380,809,174,631,667,966,447,225,096,
051,307,792,631,513,700,055,713,709,081,816,078,766,325,046,224,982,164,900,
029,827,873,206,867,529,030,697,694,194,297,242,778,607,847,858,369,457,661,
405,535,173,273,676,751,340,101,861,659,478,997,177,509,645,380,943,673,402,
932,216,868,368,753,489,659,322,158,355,759,996,324,872,396,013,933,204,407,
956,573,381,978,185,838,330,029,231,174,787,780,285,293,350,765,585,664,540,
697,487,159,899,207,497,221,781,946,969,398,583,941,685,435,529,380,599,898,
292,114,032,226,017,252,047,181,393,333,942,675,794,075,553,956,247,246,371,
358,960,786,858,267,299,093,054,183,949,691,082,526,603,688,812,823,695,553,
278,755,341,659,209,688,748,572,865,713,149,862,685,093,344,528,291,167,610,
890,545,488,919,828,698,690,523,787,274,932,649,240,565,312,139,722,752,086,
628,709,790,342,623,535,089,472,626,881,203,148,054,609,128,232,604,956,596,
001,831,253,888,509,623,238,516,217,612,228,643,649,487,729,542,475,827,157,
020,750,004,192,104,444,742,685,346,433,158,361,537,888,527,893,428,435,839,
094,701,153,663,506,480,213,791,722,171,545,949,697,431,008,638,717,020,331,
170,622,292,807,556,643,847,445,490,201,662,125,030,245,946,353,168,753,111,
586,692,553,766,810,798,730,469,952,846,004,534,651,561,269,970,998,488,972,
281,045,344,691,877,343,838,765,982,662,941,501,522,635,543,631,637,052,726,
461,217,714,125,379,251,871,827,873,814,335,474,330,235,099,443,474,622,640,
904,570,747,070,599,337,675,782,595,601,874,636,508,529,215,718,389,759,077,
621,960,418,586,554,185,985,565,983,895,410,146,085,728,082,344,742,592,811,
401,166,827,160,800,022,830,715,483,572,252,368,479,372,508,706,880,878,449,
290,393,750,388,917,012,318,831,877,674,143,854,387,843,734,700,169,982,055,
801,152,323,813,535,614,667,542,037,116,838,655,577,130,392,519,508,648,797,
153,450,830,516,301,026,716,470,109,655,728,613,001,732,056,619,238,142,987,
782,105,303,707,735,449,161,732,964,752,385,638,200,989,171,213,294,363,113,
472,189,611,364,181,665,479,112,883,838,505,222,008,801,951,056,269,351,406,
033,144,854,005,668,680,606,839,214,045,940,644,477,550,153,786,219,750,351,
123,090,855,747,656,137,528,120,946,244,923,032,338,168,687,274,351,417,984,
163,964,560,881,623,702,429,891,160,522,094,696,503,946,945,976,365,062,930,
985,962,782,358,197,264,802,921,406,511,630,034,334,455,702,032,597,010,503,
579,618,844,829,503,092,650,521,444,274,245,767,473,467,591,943,289,374,276,
425,940,683,173,852,049,943,850,443,294,043,022,050,774,277,714,876,262,314,
928,643,992,046,919,841,203,350,823,478,160,667,748,628,957,998,082,903,205,
225,617,534,453,420,215,753,567,300,872,231,578,110,060,697,236,485,109,233,
616,803,908,153,512,548,110,502,911,691,871,908,541,626,625,668,205,213,087,
850,812,074,519,124,211,049,965,713,963,794,560,469,897,547,089,126,843,809,
279,529,196,213,408,958,899,573,529,747,750,796,667,280,874,392,623,624,676,
265,778,535,423,223,411,796,460,251,972,936,244,326,235,806,475,401,377,018,
153,182,958,671,403,557,798,416,689,139,162,010,146,000,085,695,062,365,218,
610,948,935,477,769,558,001,434,389,868,979,669,591,542,710,755,709,632,202,
186,267,714,624,824,437,199,371,066,527,765,195,408,400,141,262,431,030,126,
987,632,066,729,000,070,876,602,236,180,868,541,249,068,391,897,641,869,647,
298,778,361,351,292,940,052,027,673,105,147,860,259,726,725,318,532,655,543,
129,593,967,838,271,150,478,465,730,023,763,595,797,938,788,286,888,566,763,
222,137,005,994,979,588,611,542,737,953,156,020,380,289,127,526,061,213,498,
235,766,780,018,451,026,794,834,899,354,324,421,606,471,773,865,945,785,257,
645,538,684,925,214,015,647,531,307,264,690,925,273,622,964,921,184,371,908,
629,416,935,978,330,783,037,054,580,569,873,227,368,029,814,913,202,327,829,
294,226,911,956,603,527,625,773,722,259,844,067,918,824,358,709,568,712,936,
068,498,960,266,469,660,385,146,030,618,258,592,473,634,610,740,995,651,798,
922,148,499,799,027,157,415,470,847,143,637,740,738,687,786,614,596,060,102,
482,289,209,024,083,377,775,306,684,940,659,526,391,800,354,609,950,394,379,
627,015,183,302,193,993,605,833,834,047,825,539,694,168,014,333,613,054,493,
697,761,537,940,247,153,042,704,985,315,408,096,659,133,663,055,939,290,725,
500,511,965,852,032,016,433,075,631,802,177,511,571,091,999,271,017,775,318,
930,339,007,723,002,815,160,983,451,881,137,429,675,556,737,298,817,266,863,
032,341,533,587,822,129,883,042,889,483,215,267,396,509,163,082,509,347,210,
896,738,183,182,094,582,632,673,790,827,635,992,252,869,966,449,894,203,954,
203,528,376,560,611,568,982,457,026,824,510,752,502,838,106,400,032,620,943,
541,826,241,529,746,739,736,299,782,192,607,098,006,950,258,517,946,218,472,
662,617,518,314,854,274,535,027,725,600,517,736,833,605,464,815,097,284,802,
443,080,836,769,788,581,020,444,232,591,318,947,756,467,645,193,795,622,872,
556,750,917,542,638,471,412,141,733,388,510,596,135,536,454,614,212,357,155,
476,434,599,199,338,447,539,348,610,121,806,235,998,556,164,530,325,348,028,
906,637,818,544,724,145,118,632,371,111,847,604,685,193,283,843,444,565,861,
852,839,884,324,666,003,307,478,695,632,429,896,824,248,066,322,369,134,235,
051,289,744,988,010,889,764,097,754,941,741,213,259,794,181,477,205,819,637,
853,025,334,744,489,291,964,055,018,044,834,414,385,585,734,406,394,763,142,
899,133,215,285,702,836,126,505,853,916,456,065,205,053,324,660,359,864,732,
834,079,082,715,015,783,861,179,036,515,272,435,861,660,387,632,605,203,705,
030,268,609,657,343,876,027,640,576,913,986,798,562,568,617,805,793,450,227,
713,336,700,686,009,056,679,983,904,343,578,602,682,338,296,140,556,394,975,
518,971,177,184,119,685,421,169,472,487,453,611,740,234,721,872,481,789,974,
361,803,260,863,776,115,470,646,244,113,808,099,746,905,113,925,872,193,438,
532,015,447,689,977,029,501,202,807,350,038,837,803,726,631,139,052,398,420,
432,656,255,621,234,934,575,343,342,713,867,418,428,140,160,194,529,719,766,
519,003,259,435,824,763,366,384,575,796,303,318,682,198,269,791,073,305,091,
015,751,111,779,946,190,144,626,648,346,112,453,098,222,610,857,920,942,856,
048,455,203,413,257,623,984,422,477,212,327,933,030,944,405,786,526,721,291,
075,369,423,817,899,512,363,431,207,972,149,246,685,986,922,463,762,045,537,
068,595,442,907,511,709,167,934,933,033,473,365,190,018,575,286,988,477,453,
398,815,773,419,134,529,664,866,186,794,076,196,101,201,341,604,685,251,298,
009,859,921,107,694,213,667,886,928,821,405,166,846,172,239,868,530,793,603,
662,151,698,089,985,625,369,697,997,536,238,519,586,011,081,300,790,745,473,
426,271,605,709,373,486,470,989,178,206,313,952,563,538,306,929,034,525,290,
508,290,782,379,049,780,484,850,164,958,743,216,005,881,507,207,249,408,862,
648,701,813,795,421,075,444,950,963,410,545,163,183,507,270,178,641,822,969,
267,958,765,179,636,033,365,926,369,789,486,791,956,383,959,292,948,203,732,
414,397,885,021,730,452,636,248,963,619,485,188,863,226,499,175,124,194,371,
678,878,926,386,855,128,655,086,468,117,772,258,302,898,823,654,639,517,092,
446,425,153,177,642,817,814,145,325,490,941,618,299,213,462,018,501,762,919,
745,261,684,517,949,681,397,816,506,614,288,159,510,136,477,496,779,946,692,
932,787,253,200,862,313,924,902,662,530,445,918,783,649,200,828,972,883,652,
609,499,210,502,594,240,392,206,782,794,623,222,353,719,960,767,790,799,857,
632,580,859,277,095,053,771,623,710,778,063,329,037,553,531,253,295,833,586,
638,768,531,873,173,690,158,813,694,444,296,130,815,504,480,069,271,266,238,
648,499,493,559,021,416,346,323,150,848,128,558,478,871,416,978,480,375,080,
640,888,940,384,976,781,288,759,048,650,866,415,903,912,869,317,686,118,857,
243,989,946,332,055,162,610,838,157,894,069,669,291,722,427,551,631,249,946,
242,460,610,282,809,944,950,522,788,407,892,695,617,936,138,849,174,147,507,
603,760,086,839,424,101,543,188,531,937,580,953,788,435,343,134,601,123,023,
517,725,639,335,995,417,737,239,929,145,876,935,440,819,396,969,923,133,327,
485,421,342,210,564,763,143,530,710,212,340,914,054,494,445,793,145,235,560,
437,018,210,604,590,925,589,364,748,460,118,374,210,711,474,126,144,233,626,
981,783,357,625,482,924,522,253,984,248,392,988,605,252,228,976,179,774,388,
277,248,382,424,050,681,732,802,553,384,680,613,632,509,954,662,479,618,919,
802,646,350,961,114,131,234,567,743,902,620,114,115,769,953,614,280,727,188,
848,718,488,550,389,358,926,776,298,387,675,878,228,324,692,599,325,934,814,
714,460,682,655,586,077,389,129,449,702,639,538,504,805,869,797,089,738,768,
011,044,572,176,521,450,104,208,379,307,991,467,169,629,429,809,438,880,741,
262,079,719,038,251,563,178,476,320,262,430,739,144,011,283,267,407,104,586,
353,579,967,728,000,025,689,326,778,103,487,432,534,899,598,769,716,478,182,
290,872,774,088,524,660,739,924,690,847,792,540,408,782,304,731,540,592,330,
954,705,318,414,249,278,138,430,274,066,615,893,187,092,523,127,466,264,720,
324,032,884,189,891,947,824,956,167,329,628,114,583,441,839,398,247,263,022,
821,178,763,534,330,583,325,285,791,615,877,908,119,047,299,802,262,819,507,
863,953,574,859,304,325,153,916,259,500,700,762,079,411,428,613,736,475,759,
768,874,355,965,444,485,241,108,489,303,314,200,175,309,007,004,857,017,070,
971,598,409,896,835,063,999,956,316,966,620,973,463,021,790,925,903,764,642,
615,022,063,019,245,491,559,201,508,545,897,296,293,971,261,427,965,485,967,
976,922,896,438,305,429,562,038,061,162,524,701,198,755,282,103,865,419,653,
302,574,939,831,754,118,703,080,724,007,919,332,733,128,885,416,648,253,809,
504,998,446,150,490,529,283,903,958,798,502,578,551,579,980,359,896,324,190,
194,855,928,723,766,717,104,617,821,287,123,455,673,799,108,337,784,780,441,
849,598,990,595,398,664,955,460,374,659,836,486,766,782,295,314,831,389,686,
402,784,467,830,528,446,006,543,422,173,364,844,842,781,444,634,561,536,135,
745,248,866,580,353,834,398,453,201,006,357,247,153,875,388,329,230,541,428,
764,678,276,045,164,481,641,838,821,477,293,881,060,262,261,107,969,550,571,
000,244,043,177,901,722,626,648,792,055,547,360,257,148,651,884,920,290,178,
481,276,835,135,851,808,727,532,073,953,314,122,780,330,235,119,442,207,398,
921,551,731,852,826,252,729,352,791,625,688,501,651,390,780,809,020,402,014,
575,860,716,917,524,966,748,967,360,257,228,168,196,792,850,424,003,690,871,
284,645,850,086,236,596,007,250,167,206,431,265,493,599,452,776,928,064,605,
391,359,653,477,278,153,105,815,186,216,650,538,159,248,655,844,023,762,245,
588,360,790,152,096,726,669,055,747,391,338,231,020,249,139,498,461,287,886,
477,820,453,393,936,310,505,685,698,886,176,027,052,387,529,260,684,940,694,
542,952,844,002,184,831,524,204,922,946,607,014,311,891,134,553,920,439,888,
470,358,457,181,897,310,898,681,483,387,278,977,698,648,153,410,366,228,059,
040,491,627,447,654,932,688,908,274,661,690,290,317,374,275,914,445,456,703,
639,323,197,320,752,293,493,115,782,754,853,403,991,721,808,159,173,226,490,
286,201,126,558,449,607,772,962,279,151,271,302,352,293,894,535,846,105,294,
393,572,085,805,222,429,276,791,543,245,100,242,312,533,694,336,775,977,443,
398,732,082,153,593,847,590,092,791,860,234,903,998,672,134,267,574,529,657,
367,878,397,765,634,508,822,578,818,934,612,396,324,898,089,826,658,984,610,
978,507,405,417,518,052,709,816,608,119,911,427,785,901,368,068,883,687,837,
857,279,413,076,936,397,625,365,701,381,277,479,034,963,234,870,926,917,499,
395,599,441,451,091,376,712,621,714,291,690,795,128,154,725,344,943,689,780,
416,896,836,596,059,604,471,226,955,251,749,481,395,334,256,523,486,276,166,
291,635,775,388,688,455,849,644,350,900,390,843,404,016,990,600,722,259,652,
293,381,430,397,916,673,552,942,328,838,323,865,257,573,403,549,637,769,107,
863,612,112,820,160,601,351,534,207,268,672,765,967,352,113,900,416,821,452,
551,765,334,939,291,017,410,395,222,731,303,216,206,478,153,075,478,368,297,
609,085,479,162,950,855,996,853,441,144,308,304,060,695,955,850,301,251,031,
379,595,557,958,434,740,481,645,286,344,087,543,804,389,836,909,832,159,677,
711,158,636,595,658,981,716,026,643,355,621,681,682,100,574,378,012,611,730,
447,827,270,102,730,552,277,423,738,268,972,919,257,069,050,770,201,925,464,
547,075,504,192,591,861,193,983,199,286,704,751,412,501,639,966,603,593,484,
248,732,787,610,760,272,215,756,843,675,022,252,484,529,716,963,779,115,244,
518,476,598,522,059,910,729,474,197,451,762,590,455,626,998,136,983,701,440,
283,229,423,513,788,071,382,778,124,735,136,695,418,680,046,602,034,929,648,
285,378,023,090,616,944,752,275,813,601,186,304,810,711,019,702,292,859,835,
953,418,362,692,180,372,814,228,680,354,889,134,619,660,839,829,093,442,107,
002,922,084,776,411,788,530,432,885,226,811,963,014,240,398,003,195,866,495,
668,726,039,636,925,814,123,846,045,855,755,348,674,185,567,404,417,626,243,
828,651,601,468,986,749,433,302,572,579,832,207,041,093,207,301,826,289,741,
202,752,947,190,795,248,978,709,305,493,367,106,620,483,361,188,207,417,322,
157,248,931,813,167,218,541,380,852,663,601,383,340,625,341,987,711,566,646,
453,746,396,269,195,770,306,699,665,349,903,359,752,604,563,828,090,241,981,
201,246,325,940,749,873,783,260,446,911,193,843,180,918,977,656,450,431,970,
996,758,899,551,172,042,899,540,203,191,407,056,033,234,948,461,064,362,027,
530,832,265,508,508,661,358,550,587,912,150,495,722,973,552,060,405,285,287,
877,832,067,175,047,142,384,009,372,399,805,244,616,937,044,559,942,893,119,
811,636,352,717,176,498,809,735,431,183,331,987,002,904,388,347,600,914,178,
278,560,537,753,245,012,156,489,245,862,523,832,964,648,212,577,215,986,767,
851,522,692,429,499,078,679,927,775,708,479,959,836,996,603,744,198,242,562,
722,009,326,139,931,272,863,073,529,302,194,353,694,646,704,104,653,562,395,
324,468,101,801,032,301,537,036,538,805,671,096,786,941,362,964,905,454,889,
541,255,873,754,361,141,087,608,607,440,383,555,981,187,125,637,458,518,122,
232,670,344,542,211,566,131,095,857,965,173,283,804,263,149,958,652,197,025,
596,227,515,883,381,149,433,017,776,089,092,396,740,220,949,726,383,760,165,
495,869,613,181,913,647,424,742,642,415,795,792,666,738,392,905,838,934,819,
785,988,791,064,493,521,971,477,242,015,720,854,222,824,695,508,098,237,227,
385,062,984,058,798,830,425,027,492,313,435,061,199,647,395,568,387,013,544,
001,205,943,310,886,550,904,208,957,240,155,397,723,873,993,154,677,835,353,
811,774,864,747,187,994,185,510,209,211,780,789,574,743,443,618,876,684,632,
357,435,904,681,332,103,507,034,672,420,433,923,072,893,708,607,407,424,402,
799,500,431,430,429,017,423,296,691,136,780,630,862,150,337,585,547,090,721,
138,573,362,918,925,322,589,123,511,628,108,043,259,169,998,573,556,344,584,
930,862,895,494,785,583,078,209,034,093,027,475,478,969,163,229,209,026,966,
858,403,162,208,983,481,611,463,972,648,272,374,482,808,444,598,960,830,753,
583,354,535,706,493,999,305,536,685,962,513,830,948,814,147,450,083,103,745,
922,679,404,021,105,486,047,804,043,820,846,262,577,479,981,388,316,588,779,
344,362,933,539,618,735,460,913,360,181,342,745,473,646,971,297,423,366,752,
572,222,097,090,729,689,010,248,489,480,450,005,128,962,627,606,482,880,387,
815,523,016,120,685,939,389,038,002,119,076,081,225,457,311,145,475,647,204,
131,043,738,231,348,295,279,047,147,192,234,983,374,801,212,573,712,351,362,
418,661,373,882,270,510,118,067,052,657,271,702,308,460,191,903,830,554,501,
783,439,186,036,506,395,880,519,633,767,094,826,270,553,200,793,294,131,623,
504,913,326,005,079,050,542,291,215,832,480,320,938,729,100,952,694,922,399,
488,782,641,274,773,709,144,312,957,296,449,270,497,583,341,389,360,481,495,
318,002,023,738,156,066,886,107,595,794,276,899,393,610,799,765,680,048,348,
044,553,170,845,703,995,945,854,462,681,299,291,444,596,036,923,690,366,686,
273,008,747,581,982,308,812,641,324,286,479,961,270,179,502,164,835,281,075,
031,604,589,914,742,430,407,227,214,399,442,985,213,061,316,627,152,971,307,
396,998,495,590,402,899,380,780,869,814,395,083,506,516,538,945,415,987,600,
523,074,550,206,940,177,700,227,357,951,096,726,457,167,015,192,475,649,193,
027,747,210,950,733,835,543,801,320,698,702,862,046,639,548,225,481,950,191,
653,872,466,846,822,592,406,300,349,783,545,568,812,150,355,495,050,849,633,
922,607,187,062,000,721,511,372,893,735,555,832,149,304,960,609,162,522,680,
561,842,452,226,052,027,776,594,874,567,863,834,191,434,757,823,133,246,860,
724,233,194,629,790,951,508,433,345,264,071,625,374,638,858,192,640,934,889,
837,455,803,548,516,037,928,586,107,239,014,201,019,188,962,827,855,008,809,
634,350,277,463,094,113,778,078,832,736,288,845,007,163,321,533,803,903,154,
462,695,604,788,903,492,886,331,363,722,256,668,247,702,015,569,519,287,593,
471,527,896,505,342,324,687,128,798,911,086,979,579,908,350,294,242,041,236,
011,524,432,411,688,548,960,349,038,314,965,120,183,884,647,035,167,739,359,
988,316,250,537,847,962,307,950,895,738,192,737,119,190,548,300,532,364,949,
027,808,077,960,021,703,603,179,038,086,626,792,143,381,456,233,456,896,993,
800,510,553,736,618,079,317,463,080,919,899,033,001,517,807,327,306,663,142,
635,910,176,312,006,747,850,741,703,692,440,460,970,997,946,274,841,229,691,
322,395,120,977,443,330,890,377,193,759,878,569,415,367,809,627,768,448,320,
311,382,519,270,692,191,392,646,682,703,021,586,629,518,637,621,964,379,258,
274,422,483,954,442,816,756,985,760,142,177,809,565,602,407,845,452,812,491,
840,182,311,297,477,351,084,709,246,926,206,942,392,658,267,781,396,466,044,
635,787,612,700,168,270,810,172,934,163,062,167,658,744,168,944,845,140,044,
697,591,367,217,221,311,302,746,322,008,427,173,737,936,713,075,069,807,348,
840,491,158,584,283,409,734,938,708,202,683,431,573,466,821,586,158,776,202,
898,319,313,419,116,229,738,572,705,008,410,438,072,898,459,438,512,538,059,
147,050,987,686,692,663,902,419,488,220,469,912,078,288,034,270,251,381,788,
015,464,358,025,265,802,049,389,399,851,141,156,177,359,843,083,029,084,579,
828,807,210,439,957,934,642,914,593,864,851,042,105,791,925,623,873,258,592,
847,290,232,781,761,655,851,114,702,540,900,562,051,131,808,092,722,559,319,
958,029,581,545,874,590,942,101,085,387,316,634,134,821,624,044,720,668,358,
418,742,779,334,614,862,632,135,726,847,108,440,035,647,312,023,080,071,852,
489,420,719,791,354,874,988,271,443,409,447,412,964,900,099,685,199,153,670,
298,161,187,647,235,875,098,515,319,033,779,922,315,343,407,219,529,696,298,
085,719,301,874,158,068,669,072,885,808,083,635,272,105,495,138,665,761,652,
790,506,366,469,622,957,662,460,811,967,061,847,527,538,348,952,857,063,781,
625,255,140,596,562,240,118,546,747,310,642,289,311,814,353,688,845,867,175,
976,541,094,997,938,328,041,045,441,794,016,730,200,809,319,306,233,747,181,
709,142,193,448,371,778,896,463,411,342,255,264,845,254,542,206,035,159,768,
987,164,965,904,429,873,872,660,093,174,458,331,739,304,226,562,119,335,771,
911,930,941,767,232,534,961,565,957,449,352,235,140,331,047,044,736,485,655,
821,904,112,982,721,667,284,436,935,103,140,419,096,023,578,856,501,655,927,
541,539,588,980,935,667,794,114,308,336,236,611,194,119,859,278,369,193,284,
188,325,300,589,271,262,869,778,002,678,150,545,002,040,080,986,393,108,138,
835,395,927,954,509,331,231,176,044,332,601,895,506,006,093,090,714,440,685,
507,553,614,460,893,030,801,394,992,450,555,977,066,007,827,901,841,106,472,
836,982,610,985,313,346,286,904,138,375,824,130,459,940,669,600,205,497,289,
541,430,924,273,740,639,170,176,198,010,114,259,235,072,035,192,609,990,692,
106,084,226,759,073,655,756,806,912,580,088,501,095,229,434,727,017,387,720,
245,546,916,760,703,253,070,590,730,379,269,228,043,981,969,887,044,018,526,
114,277,914,985,593,149,584,502,643,325,907,829,214,277,097,985,275,186,370,
394,902,882,488,124,294,011,694,374,966,959,500,194,895,054,332,828,473,436,
097,884,910,587,826,035,069,986,637,728,248,585,521,881,634,876,703,234,253,
952,505,418,347,784,619,017,096,495,399,210,526,341,801,575,034,032,023,501,
300,599,280,119,158,275,358,741,068,957,451,602,052,912,475,412,605,040,208,
444,827,256,476,934,208,247,561,577,166,600,876,341,113,530,462,372,360,700,
301,932,304,758,023,870,345,093,749,175,710,012,904,253,126,862,824,632,186,
527,183,737,522,262,598,718,558,459,408,220,661,273,408,286,528,035,611,631,
985,486,100,354,836,024,864,924,968,369,300,992,752,912,397,730,448,906,517,
178,754,162,483,914,977,570,013,236,743,357,888,193,041,908,565,479,999,761,
437,620,670,073,355,562,015,884,561,843,771,256,431,882,477,726,771,413,862,
350,374,632,662,881,414,827,929,898,622,126,516,773,586,791,471,698,454,968,
643,788,784,890,200,593,276,745,488,817,565,324,494,811,905,506,501,294,066,
886,959,078,286,766,887,581,570,383,146,890,709,103,469,710,776,030,459,536,
567,185,132,574,662,078,211,817,013,990,365,730,511,880,378,624,188,993,131,
587,089,554,641,051,916,545,220,653,043,122,692,311,350,967,293,482,796,162,
071,426,413,874,108,382,835,971,293,285,711,090,398,265,939,276,383,144,154,
765,173,216,711,960,038,007,858,177,375,399,770,323,707,890,231,370,674,288,
015,501,988,601,600,126,481,120,595,019,336,508,894,046,307,331,667,196,992,
381,497,496,107,715,798,340,130,465,412,843,086,478,623,282,114,542,877,858,
973,317,736,708,935,533,059,466,722,055,111,269,744,688,560,644,566,708,090,
185,207,785,732,958,689,826,046,941,742,542,636,817,632,236,299,530,493,630,
784,218,338,118,518,528,654,345,673,856,663,217,352,477,632,269,933,651,568,
574,067,603,379,524,197,245,018,827,471,328,500,183,198,462,881,472,700,977,
985,095,307,091,392,580,149,202,317,141,974,113,747,889,908,084,980,059,281,
055,670,050,693,652,413,925,886,489,700,073,005,755,203,740,153,654,580,683,
011,539,132,506,178,988,224,383,076,300,733,251,567,019,067,114,833,613,919,
261,776,583,606,412,015,860,988,773,138,220,048,650,156,805,206,303,382,332,
974,755,584,911,977,088,280,830,875,056,130,170,352,690,504,533,560,811,416,
008,636,765,368,689,580,428,499,337,326,798,557,829,068,455,684,527,613,429,
561,249,866,761,459,534,771,748,187,804,318,934,912,150,988,583,203,271,669,
825,935,265,891,599,562,594,742,479,480,035,268,228,430,088,622,380,243,249,
433,140,565,471,855,595,431,386,162,382,418,168,447,594,545,992,219,666,987,
093,344,772,504,093,943,428,332,312,932,086,259,630,950,439,591,956,553,025,
474,775,476,760,057,237,095,233,250,064,955,439,864,202,263,732,367,299,422,
622,360,428,900,871,590,947,495,738,200,659,118,851,151,518,313,585,814,572,
200,320,935,117,649,668,551,103,398,511,405,122,562,311,972,830,498,342,691,
913,685,239,432,918,213,839,703,968,397,668,009,143,138,513,000,194,235,642,
981,700,098,985,472,610,809,691,298,051,060,029,119,005,698,226,729,974,154,
400,724,764,751,965,186,813,874,037,928,028,546,330,881,905,655,900,193,712,
195,657,814,486,376,044,745,099,981,612,568,925,636,259,544,175,479,620,399,
498,697,695,467,719,292,897,948,574,217,137,205,657,436,993,774,886,338,556,
205,948,560,896,730,855,816,693,171,983,747,727,924,930,536,171,266,606,381,
849,186,903,375,597,038,348,772,158,311,173,834,581,636,878,856,972,748,752,
750,568,146,127,845,266,879,266,290,550,933,078,099,027,357,845,857,823,568,
171,920,855,889,227,984,704,179,400,740,105,795,517,753,248,550,109,722,196,
354,252,616,252,923,134,808,125,945,229,346,427,107,454,268,344,263,862,869,
382,260,554,047,128,660,284,602,053,794,506,696,528,367,823,028,089,077,929,
341,222,654,228,334,970,214,533,082,196,295,071,170,246,084,356,268,767,725,
489,051,090,789,961,030,486,479,121,993,668,894,446,520,645,609,540,663,365,
811,278,238,867,951,942,074,351,420,840,434,054,938,163,945,260,432,832,015,
221,405,260,845,642,685,909,803,426,749,703,012,357,460,099,501,882,842,138,
985,448,696,036,302,663,924,050,607,975,336,486,052,920,747,235,234,866,787,
463,232,738,157,225,403,415,465,523,284,193,709,555,492,446,857,696,584,701,
537,341,910,296,188,047,834,261,890,292,761,868,960,262,965,523,672,904,142,
481,357,814,287,154,792,244,308,598,162,838,007,050,093,353,270,028,948,077,
913,399,166,887,870,244,308,329,274,943,110,705,243,394,531,789,408,020,569,
459,093,397,018,146,378,486,794,536,254,024,870,876,682,248,923,936,987,154,
828,090,420,809,839,825,053,214,154,916,083,241,129,818,185,363,267,506,602,
906,003,755,332,734,672,654,002,620,349,621,199,253,550,621,022,011,892,369,
176,621,856,890,756,182,781,577,099,161,501,313,744,242,981,206,119,550,296,
996,470,527,231,860,455,027,695,547,038,634,000,229,742,239,753,848,045,133,
287,526,425,407,273,599,701,908,638,231,212,572,898,448,583,779,835,111,566,
933,958,840,855,118,110,695,023,303,659,118,135,060,778,538,272,391,404,603,
241,260,309,838,695,757,096,185,216,052,881,076,201,592,527,880,490,944,973,
464,783,230,657,203,935,095,749,943,164,868,429,259,511,834,893,435,720,622,
394,689,624,489,807,685,441,932,595,796,330,095,111,481,901,183,642,829,712,
039,344,255,315,910,707,539,616,838,076,181,773,502,192,718,166,956,663,878,
938,894,292,155,557,254,775,616,937,703,030,602,834,184,605,744,872,077,082,
602,979,180,544,440,388,561,516,594,505,903,496,121,278,606,047,070,251,772,
584,878,536,224,047,557,540,084,947,422,851,083,037,002,283,877,530,070,748,
372,653,736,114,487,249,798,846,942,588,512,338,310,269,829,999,410,094,321,
826,773,937,548,492,717,161,795,128,001,486,424,632,492,834,350,980,556,761,
156,500,927,404,112,387,943,092,065,764,092,656,581,112,576,754,974,798,541,
097,715,338,735,936,588,720,370,386,223,262,546,925,464,425,010,493,903,627,
829,996,180,261,681,152,346,557,092,142,770,789,596,349,423,500,054,333,080,
349,647,687,968,172,767,071,819,843,798,266,584,635,394,579,314,633,570,978,
370,596,825,326,562,713,572,050,324,894,993,587,044,749,700,488,937,330,635,
621,169,233,580,932,407,079,932,462,625,182,427,512,406,040,119,410,950,893,
128,737,217,890,050,296,854,177,355,764,714,985,436,949,279,530,146,090,454,
367,180,199,172,343,920,307,685,935,828,092,781,813,601,733,295,153,499,618,
607,148,545,621,898,205,731,688,516,095,806,428,733,954,846,607,888,820,128,
208,455,908,141,064,821,873,561,385,212,596,127,893,679,740,031,131,627,698,
120,587,396,538,202,420,047,423,619,082,515,657,611,062,709,456,893,858,868,
450,903,388,952,501,604,810,229,518,128,369,422,149,518,963,138,607,117,219,
397,704,842,985,538,150,231,623,797,276,005,356,668,899,860,201,565,480,100,
187,524,999,540,272,528,269,041,231,723,932,031,052,392,502,775,670,033,173,
774,515,567,057,842,693,747,148,984,283,771,182,702,333,565,072,481,180,676,
552,431,855,337,454,103,772,938,982,681,130,005,211,009,548,143,888,069,391,
715,934,867,109,086,734,588,790,286,341,226,063,659,216,021,354,177,645,189,
191,112,654,113,813,945,796,585,914,148,720,254,929,313,144,193,927,298,118,
789,132,384,485,208,249,241,152,237,312,222,288,889,633,386,684,620,797,970,
098,109,607,505,784,632,046,026,757,092,473,621,596,392,342,888,668,607,210,
670,682,302,093,843,872,196,139,518,734,776,324,775,297,891,773,748,586,596,
780,182,345,216,575,062,816,327,985,328,601,695,053,939,428,241,276,208,687,
458,697,810,532,092,488,511,501,940,758,452,042,325,563,169,297,038,590,995,
232,963,784,758,645,315,949,669,627,478,025,804,581,344,346,244,556,111,009,
584,411,821,453,024,609,780,350,529,605,329,450,337,913,703,525,991,025,006,
861,540,798,409,504,451,578,688,185,019,970,010,649,588,988,645,014,027,980,
591,276,903,526,818,605,000,861,304,232,828,926,284,392,631,332,077,317,674,
532,238,833,993,873,085,675,832,459,536,454,938,933,586,497,251,643,411,548,
560,709,543,366,459,905,780,367,412,172,205,963,843,032,932,352,167,903,072,
046,725,441,657,186,526,814,072,210,262,872,653,686,616,256,447,886,853,742,
342,789,800,852,865,361,591,639,384,086,457,180,258,697,604,168,118,897,433,
869,580,295,723,673,350,731,076,409,805,783,810,514,609,762,623,308,408,759,
451,602,326,236,698,654,372,981,342,603,912,812,161,070,578,106,093,264,093,
580,821,673,577,655,984,007,140,586,176,035,800,567,218,063,888,621,913,262,
737,067,884,844,494,889,554,132,239,123,860,727,967,455,693,439,281,411,250,
285,241,780,433,682,558,147,990,301,950,442,338,431,551,219,735,457,739,995,
691,294,017,858,300,039,625,099,761,323,349,809,960,778,967,473,739,220,621,
994,252,553,472,697,786,394,865,370,878,913,318,646,223,674,423,105,700,484,
446,510,995,784,922,074,241,497,511,606,949,448,824,165,782,547,259,267,800,
304,789,843,850,267,366,273,858,427,236,168,037,659,560,884,543,587,055,094,
213,346,371,928,046,075,185,961,757,071,852,848,317,358,759,354,147,529,176,
527,331,111,373,975,261,381,746,476,540,068,820,689,537,496,521,578,310,078,
681,509,844,251,544,553,888,296,633,760,949,733,002,777,062,340,887,713,290,
346,718,801,462,937,463,201,163,685,568,803,375,821,196,137,261,906,894,826,
785,805,916,752,893,348,706,976,189,803,430,860,305,099,454,483,696,522,577,
640,738,060,322,232,721,244,399,457,493,743,917,403,461,545,622,171,706,627,
803,424,604,909,660,771,051,207,064,159,647,237,613,869,600,289,293,295,174,
698,008,773,148,335,172,618,896,997,378,807,903,592,770,758,486,169,519,639,
569,842,907,066,255,386,093,527,728,694,818,527,957,180,778,247,874,904,848,
091,497,877,437,608,775,346,502,992,899,381,651,383,465,104,173,667,961,069,
291,203,068,642,693,768,785,043,155,559,674,840,461,544,453,152,457,667,196,
381,996,464,951,651,870,078,044,756,138,644,153,982,323,247,015,675,331,255,
371,017,068,534,560,224,874,350,908,475,675,884,348,429,790,289,343,281,700,
350,800,762,458,776,384,776,840,447,441,354,815,948,789,462,390,412,654,752,
765,707,202,767,044,225,367,654,813,540,011,383,223,454,597,814,333,273,210,
324,363,464,066,515,983,897,677,893,898,278,956,600,335,970,343,355,899,218,
763,847,560,280,158,339,780,533,715,931,593,160,375,721,049,686,193,977,233,
298,479,493,513,371,829,953,461,905,031,076,843,108,742,668,077,212,076,930,
607,827,743,298,687,290,275,495,814,877,217,736,852,866,402,596,750,708,280,
838,752,962,712,794,694,748,088,093,699,488,023,248,401,967,025,638,099,571,
200,231,667,419,737,911,031,417,778,567,294,652,226,887,561,411,356,126,234,
183,518,872,093,092,083,596,668,100,022,695,549,861,876,902,214,220,076,214,
646,500,641,162,517,531,245,004,014,069,763,781,350,762,256,727,802,583,124,
001,216,059,690,168,592,793,029,593,794,364,904,612,773,534,866,203,091,668,
893,513,917,145,514,909,503,480,418,176,910,521,909,491,868,697,582,105,480,
111,669,883,860,831,476,501,089,622,253,715,877,620,694,170,857,247,913,576,
183,784,401,023,893,654,882,009,002,536,059,472,956,704,799,833,786,862,791,
891,293,968,973,518,111,911,408,104,240,244,012,354,458,974,451,049,542,101,
180,887,763,001,190,676,142,446,665,536,699,805,332,190,724,234,892,601,861,
357,234,728,306,073,813,164,705,284,145,771,515,848,009,576,361,956,786,271,
906,316,354,147,398,044,631,834,836,706,777,203,413,784,896,449,274,640,719,
234,109,763,738,862,889,781,082,766,192,484,921,393,308,514,875,025,317,710,
636,785,479,355,694,942,343,654,270,700,967,739,490,082,884,835,863,851,471,
370,785,863,283,045,040,071,572,502,199,879,055,447,481,518,751,627,520,262,
752,604,560,607,264,751,528,986,626,871,743,238,459,753,964,883,513,518,693,
771,044,819,793,491,350,412,034,826,009,534,653,184,046,931,091,792,102,925,
786,687,169,041,700,536,861,107,166,269,918,492,172,376,965,849,859,657,196,
347,777,681,957,048,095,033,769,866,646,469,601,551,991,963,121,776,493,937,
684,869,548,495,780,250,913,810,760,430,803,335,995,912,153,386,212,969,149,
249,361,901,633,302,557,570,887,718,879,265,685,367,355,758,087,887,763,592,
256,434,286,982,455,476,667,189,458,368,475,323,264,170,210,222,745,273,803,
502,897,931,246,051,091,401,823,933,748,317,231,486,217,621,119,574,725,331,
442,430,219,685,170,916,506,926,261,148,525,222,299,311,614,876,108,154,348,
134,026,220,277,727,408,740,626,280,369,595,454,907,251,788,576,755,918,408,
729,752,490,611,940,062,734,231,118,173,841,153,220,464,072,620,492,696,388,
986,143,144,869,111,659,186,876,898,396,368,287,139,742,310,367,033,319,680,
382,135,675,461,466,625,132,745,387,737,734,040,753,705,136,223,800,159,292,
338,820,932,804,643,664,276,025,414,834,328,396,215,253,719,009,837,929,844,
591,290,631,709,112,617,513,396,624,527,783,130,879,951,011,666,431,828,275,
999,169,543,947,975,338,094,933,554,334,901,312,197,198,764,959,210,948,459,
816,062,554,168,980,031,888,336,112,176,721,802,536,534,679,923,750,196,093,
600,052,536,875,221,925,480,163,321,426,986,934,788,749,092,401,224,408,741,
744,582,723,043,874,333,745,536,657,270,121,747,552,220,994,627,768,301,003,
940,864,129,825,709,104,610,588,027,010,298,234,449,629,625,770,246,149,326,
576,175,796,611,458,390,791,831,153,071,108,750,449,398,104,572,398,222,919,
296,730,114,620,612,339,405,756,999,698,052,151,000,611,762,033,755,885,138,
353,151,125,935,104,025,385,669,630,259,421,165,222,770,238,271,308,409,962,
575,195,158,376,650,903,960,504,834,973,116,358,154,159,898,429,826,189,331,
625,639,420,803,652,922,090,023,818,008,891,265,771,689,475,722,860,380,832,
498,875,765,699,724,486,538,094,141,828,989,862,630,500,919,022,468,874,153,
848,865,547,248,119,674,836,448,397,800,257,751,782,327,534,550,206,866,838,
786,678,891,973,567,090,697,646,190,140,543,055,591,773,543,897,303,647,816,
019,273,876,709,923,439,764,360,922,873,201,129,882,710,927,994,646,972,981,
473,821,816,886,698,480,385,955,827,816,216,090,730,581,080,242,773,774,342,
960,233,142,856,410,548,651,429,216,297,783,273,660,636,362,119,501,739,005,
045,531,692,774,463,536,281,226,379,926,802,408,611,496,990,721,503,685,671,
560,034,278,479,706,167,130,311,774,968,473,117,006,303,946,514,470,359,012,
442,778,521,568,171,000,862,856,349,086,301,517,053,115,346,065,518,993,025,
422,139,937,254,941,010,893,664,102,011,832,049,063,260,102,278,684,739,068,
753,090,144,142,777,500,957,867,644,224,259,684,955,785,679,009,315,639,169,
868,464,341,280,831,315,105,767,058,138,442,875,292,392,320,180,454,020,136,
791,424,052,876,915,447,321,359,481,132,827,768,669,163,057,524,784,340,194,
342,932,951,858,860,074,465,627,550,365,459,626,373,036,200,988,677,607,350,
316,528,189,870,644,155,459,606,972,972,972,509,103,226,569,547,783,940,729,
608,624,521,162,637,795,729,969,976,650,534,945,745,571,700,011,956,405,792,
018,916,483,502,422,778,269,458,242,400,448,939,654,663,440,010,707,803,176,
918,789,236,149,995,542,172,370,908,624,225,457,961,593,138,888,901,378,566,
191,585,526,192,654,603,889,408,840,243,422,049,130,313,166,917,735,213,953,
690,201,035,182,559,884,952,630,577,896,109,047,559,113,043,965,778,149,181,
097,578,015,766,593,745,956,280,422,709,480,843,426,327,665,579,570,271,554,
065,707,075,979,135,389,498,527,703,402,072,981,792,371,345,583,162,041,315,
100,432,524,489,962,589,049,671,359,712,506,984,342,100,755,624,058,842,093,
419,127,804,935,666,460,766,525,129,320,821,454,455,248,946,666,585,916,741,
968,650,202,512,384,669,475,518,463,819,439,814,552,736,786,004,174,854,124,
182,406,753,814,339,449,444,754,982,240,782,322,064,087,682,583,119,871,358,
139,004,357,953,838,693,712,244,353,369,538,390,265,302,203,152,784,056,700,
282,107,608,008,838,461,191,905,998,808,529,563,071,491,646,098,801,425,409,
041,186,171,893,035,119,716,932,874,643,321,485,298,117,070,856,437,179,548,
393,694,060,850,296,516,795,942,905,161,258,142,366,730,611,911,254,170,748,
363,148,538,583,855,192,428,633,654,493,268,274,477,303,626,538,593,786,035,
018,129,635,693,594,354,317,982,273,175,068,468,401,988,423,676,149,019,580,
314,400,008,674,129,362,969,257,931,633,106,059,355,137,212,439,619,643,317,
681,805,697,713,770,599,403,221,703,770,945,216,813,698,364,874,403,744,208,
902,414,391,297,494,145,292,305,801,185,523,753,185,543,377,039,518,212,416,
497,531,385,325,529,953,232,925,033,035,925,953,127,877,464,777,625,773,143,
792,278,058,575,830,103,217,556,539,049,363,548,710,825,860,865,702,527,436,
054,236,090,938,100,956,213,922,838,891,057,852,513,830,490,191,384,644,272,
152,739,390,607,004,920,951,900,496,034,615,746,763,344,314,773,317,145,703,
737,113,725,937,354,413,268,751,265,545,275,733,206,756,628,823,821,848,152,
470,190,722,908,821,428,818,686,521,253,114,833,558,248,610,204,343,352,008,
526,462,984,574,269,160,756,422,211,320,135,150,460,262,387,629,229,086,219,
830,331,047,213,443,649,279,242,505,250,264,386,729,646,392,188,007,191,414,
704,100,461,090,738,137,014,277,466,447,550,903,769,050,536,736,924,528,673,
179,897,841,174,120,431,775,007,310,971,904,605,938,690,610,682,793,412,616,
440,187,871,919,914,878,353,964,457,639,262,561,442,205,031,778,335,817,600,
414,862,249,525,395,228,040,272,988,553,081,683,378,470,947,561,854,616,845,
651,051,724,753,865,097,764,750,734,191,250,626,082,230,602,019,633,651,178,
785,811,189,193,518,699,821,093,613,997,887,655,910,224,062,633,275,838,686,
381,555,788,171,657,930,816,829,465,169,443,184,831,904,459,041,203,811,837,
496,189,610,322,432,793,955,087,701,967,287,721,662,603,646,822,041,219,944,
309,836,723,722,134,622,446,167,287,707,484,912,877,140,846,896,935,620,846,
866,213,240,681,446,045,270,526,611,499,233,007,161,361,451,420,084,425,034,
625,987,515,112,618,929,146,093,204,792,788,303,155,753,219,209,685,802,298,
241,248,447,178,145,392,237,349,683,443,386,233,795,069,399,178,670,692,398,
049,211,275,378,792,831,722,445,917,591,923,016,949,618,575,450,675,818,374,
359,705,801,079,370,246,394,779,217,536,217,546,690,747,236,093,580,474,049,
188,203,713,484,668,352,887,995,958,502,462,946,963,198,996,334,026,964,095,
182,803,499,416,933,582,853,065,506,874,718,972,387,856,808,842,030,651,792,
734,300,606,474,220,899,649,367,837,197,324,580,406,435,593,890,370,120,770,
312,148,527,198,817,637,662,396,385,546,875,396,400,159,921,334,543,716,447,
400,435,638,059,636,353,094,629,264,378,728,895,252,036,765,062,090,237,536,
893,682,746,333,182,559,033,452,932,040,131,097,799,547,225,538,142,117,009,
987,490,235,129,542,075,864,404,051,780,961,863,904,319,864,201,144,945,001,
092,015,609,362,360,101,428,414,929,022,365,109,018,259,080,249,071,771,474,
734,200,844,604,528,938,678,445,763,601,425,527,561,985,859,698,662,202,992,
858,029,482,939,383,001,341,497,669,937,322,871,823,511,082,631,215,917,269,
319,894,027,818,851,514,809,141,214,307,898,520,158,307,757,100,520,579,166,
452,606,053,518,139,076,109,722,397,053,300,870,976,116,029,638,084,419,551,
287,185,958,388,569,102,330,587,204,158,624,378,268,897,629,987,909,298,967,
668,151,742,547,841,469,265,825,095,016,024,198,887,333,548,008,606,454,806,
033,704,538,304,138,004,909,609,177,098,690,167,863,826,362,970,541,777,962,
632,015,406,725,822,104,400,921,104,646,009,765,592,626,317,581,441,807,430,
515,427,795,932,790,370,307,264,411,083,229,375,787,552,520,065,050,634,755,
229,910,060,176,468,213,024,466,477,905,966,210,557,188,609,698,570,497,363,
568,007,119,625,221,162,160,023,451,646,143,476,482,955,447,238,431,104,980,
060,876,149,448,817,275,328,874,636,891,620,448,304,411,347,744,173,352,812,
345,121,331,471,935,883,311,107,197,423,760,021,989,072,520,363,848,494,875,
411,121,495,586,278,857,846,368,984,358,244,919,926,012,881,500,140,145,409,
080,339,445,790,438,997,964,510,728,270,621,615,718,724,896,594,253,306,385,
003,942,517,503,618,669,245,490,805,209,578,764,420,884,834,243,267,198,128,
752,603,758,666,226,380,309,708,065,381,323,740,908,766,512,122,511,952,410,
713,292,401,439,833,471,592,598,917,381,897,674,041,156,302,033,086,351,378,
507,432,217,273,534,066,420,666,652,333,964,788,382,123,089,480,358,875,191,
293,793,193,734,514,244,666,161,841,163,470,423,289,158,238,942,621,172,413,
428,164,122,348,697,710,374,691,927,318,138,551,698,814,817,616,573,293,343,
673,398,841,297,056,958,100,734,025,461,407,553,371,028,183,097,569,618,264,
033,333,563,662,334,703,790,308,038,384,584,239,222,542,897,060,842,400,879,
911,400,499,652,274,378,509,248,434,110,827,210,956,782,772,656,977,181,690,
731,589,173,489,641,594,857,747,899,116,834,994,856,159,344,246,109,946,831,
603,166,163,211,539,216,891,793,205,256,540,938,077,517,656,387,996,167,227,
603,388,102,523,053,323,396,402,337,481,395,790,539,329,376,185,745,769,720,
442,667,932,738,666,058,558,165,125,397,015,108,298,897,075,879,673,529,924,
577,345,294,709,930,639,062,512,342,883,116,739,131,446,474,196,799,960,143,
367,030,818,147,451,983,835,668,269,991,813,537,719,663,837,768,442,930,176,
139,846,311,942,617,935,673,488,568,038,050,370,630,927,156,090,311,492,469,
807,962,918,189,627,386,374,851,341,531,832,053,923,627,489,010,293,677,361,
902,949,238,724,620,379,658,346,405,238,456,313,473,453,344,887,360,432,081,
776,650,981,322,736,358,144,087,032,030,515,739,799,259,866,955,301,841,665,
292,940,072,292,752,512,390,939,056,770,808,906,307,112,742,650,316,794,291,
480,899,954,936,416,374,616,606,300,552,252,936,092,908,990,787,696,182,135,
543,552,266,064,927,209,161,152,160,519,955,858,592,196,144,223,227,126,807,
460,327,143,562,635,616,778,268,580,859,308,373,008,816,080,927,758,057,632,
997,411,977,955,982,307,142,228,280,176,730,789,229,538,471,250,806,111,752,
136,561,782,465,057,896,830,379,996,450,505,542,486,279,971,590,218,171,777,
530,807,847,956,056,575,035,200,089,163,464,735,354,636,525,975,095,490,241,
915,975,387,576,749,668,917,319,426,059,527,933,058,129,477,624,969,451,142,
789,509,160,636,107,949,117,977,054,206,548,000,800,086,618,676,332,892,692,
968,582,966,620,287,632,412,790,362,023,023,685,710,154,931,560,464,981,030,
725,669,584,802,086,855,319,970,620,708,615,569,653,844,717,052,656,620,891,
342,446,706,039,296,500,500,188,062,842,164,965,478,218,133,182,598,065,053,
057,010,885,922,434,204,294,598,115,266,330,726,876,010,384,090,535,544,452,
891,142,566,127,953,265,029,473,331,234,556,493,799,806,484,608,301,716,825,
256,673,421,424,529,619,515,268,531,335,868,752,267,413,918,088,880,608,683,
350,576,970,537,076,588,478,143,177,472,770,487,252,740,268,010,906,935,916,
604,435,803,679,242,467,133,341,008,252,268,224,207,971,775,466,075,483,351,
575,164,448,464,335,383,958,224,865,013,733,793,527,773,913,206,185,431,317,
865,949,451,356,780,111,598,849,624,557,931,540,559,951,345,369,390,026,744,
554,730,892,394,272,223,132,579,858,364,014,874,205,031,753,906,514,690,372,
196,960,243,556,866,489,329,619,301,594,084,698,416,336,875,706,358,679,263,
627,963,167,832,631,884,182,093,559,395,576,226,273,469,082,960,761,154,135,
341,274,966,166,464,080,870,560,258,209,327,427,086,623,773,431,918,858,802,
119,657,917,086,590,620,895,727,151,100,134,671,751,732,983,762,928,881,071,
234,017,748,106,100,262,886,477,769,628,245,263,512,077,041,116,547,243,496,
755,485,576,838,274,019,380,301,305,529,587,405,370,643,861,440,506,534,059,
529,461,739,653,925,338,072,579,326,657,412,531,551,528,364,721,829,119,329,
790,777,906,624,680,646,198,693,312,810,392,103,946,789,680,706,499,799,032,
137,343,158,574,997,269,913,810,541,988,516,591,139,524,016,301,751,513,128,
558,154,484,088,379,269,260,828,069,671,934,748,775,761,062,412,356,688,171,
698,704,303,561,673,926,067,137,425,239,859,655,656,918,056,666,095,362,248,
415,625,281,157,778,608,329,349,503,883,777,856,392,860,633,798,984,103,447,
615,298,479,822,918,979,056,166,182,580,956,746,242,335,627,246,717,980,778,
487,932,983,995,665,069,403,065,413,071,286,319,780,550,193,505,563,800,405,
760,485,104,572,178,290,946,302,473,742,183,663,167,014,464,086,435,940,492,
033,686,760,494,801,147,384,967,868,669,471,638,444,921,748,111,455,909,797,
318,537,849,145,679,394,856,280,800,331,601,587,583,689,491,540,244,494,319,
925,388,793,729,856,619,682,387,764,778,748,604,473,353,390,939,211,288,906,
548,997,809,012,694,781,587,740,700,624,821,470,511,531,677,723,791,877,756,
780,108,338,988,670,689,336,683,507,967,355,953,829,180,930,897,071,772,767,
387,115,202,028,584,518,172,945,902,595,870,795,831,031,025,585,082,157,741,
405,058,350,291,950,428,046,620,552,999,261,116,197,992,629,206,485,921,637,
074,571,881,433,680,464,014,668,524,853,223,290,653,366,526,350,046,955,967,
207,595,102,728,065,997,637,976,831,791,910,454,016,023,969,061,318,606,519,
720,807,289,566,719,705,386,795,282,714,767,919,707,050,805,494,403,046,619,
267,370,499,626,644,319,463,193,459,951,504,427,001,730,823,055,276,549,529,
766,973,550,322,836,439,299,007,871,130,441,213,331,069,451,329,281,579,338,
003,886,476,353,677,524,905,054,219,265,895,064,336,875,587,426,113,517,991,
903,574,643,882,764,205,298,920,947,913,642,677,549,676,280,578,128,334,555,
236,964,372,636,653,256,645,380,755,108,696,211,895,887,330,236,396,180,458,
648,944,477,861,592,420,029,657,558,953,460,226,710,777,788,793,463,463,775,
627,284,560,486,608,507,804,111,406,736,712,350,001,001,498,806,491,463,730,
643,364,032,823,073,103,278,263,311,434,797,998,666,052,770,014,911,824,501,
227,870,022,382,406,470,151,091,394,739,297,987,169,451,250,143,363,781,317,
599,721,555,655,890,220,186,493,576,291,029,328,803,905,238,274,067,674,759,
684,467,330,573,639,139,239,150,306,999,954,333,497,966,056,354,195,204,550,
557,944,521,928,778,887,088,779,136,856,514,437,380,305,170,235,530,949,316,
048,428,441,347,611,295,372,897,949,509,150,280,424,352,946,033,077,013,456,
051,464,026,407,821,642,423,462,457,116,780,313,223,607,123,172,854,625,434,
899,581,955,487,744,234,790,904,607,776,483,925,688,748,814,120,849,464,754,
819,880,405,348,170,514,264,664,563,414,910,373,130,919,568,368,972,887,266,
923,614,840,950,399,778,771,487,272,081,767,123,976,000,406,848,794,655,502,
926,864,978,941,437,603,090,510,832,489,979,120,531,422,996,079,963,880,074,
440,225,328,064,884,304,217,398,574,546,393,216,543,337,434,337,287,457,456,
864,138,754,880,416,948,912,364,316,506,835,279,638,350,573,464,349,667,833,
374,715,637,291,811,313,287,205,585,388,753,423,719,170,220,597,348,335,880,
683,098,161,549,074,417,219,316,373,390,748,930,223,321,875,977,876,485,150,
325,994,385,307,111,614,089,450,822,536,164,077,986,030,622,533,076,319,829,
172,860,005,789,598,592,538,856,104,968,332,549,672,765,220,591,331,496,959,
866,183,121,345,225,998,850,826,909,521,354,306,340,993,678,949,713,883,285,
455,622,721,250,520,667,174,170,649,608,890,323,555,721,394,767,390,183,685,
327,698,856,780,889,855,936,760,873,703,508,153,684,817,425,327,562,146,272,
331,907,283,583,051,299,392,787,605,373,255,987,741,598,980,887,733,610,477,
492,576,174,802,196,741,341,930,054,114,645,651,374,405,661,502,377,536,219,
111,477,410,717,359,531,975,838,064,158,224,592,059,565,819,290,253,006,647,
628,444,766,020,322,055,959,562,361,021,365,298,321,022,210,451,227,543,287,
793,543,305,649,724,220,256,215,580,658,631,692,291,989,848,348,294,428,797,
089,144,486,742,528,443,897,631,104,019,767,008,556,406,881,864,613,494,561,
444,266,414,761,737,311,145,618,244,825,225,543,451,024,219,136,007,414,869,
573,104,947,616,675,218,496,183,874,378,518,963,646,432,851,141,681,540,150,
408,848,658,404,915,244,607,688,247,654,793,090,178,011,553,591,389,500,406,
677,390,540,123,436,626,050,743,999,169,265,154,810,477,112,615,355,444,762,
317,634,089,713,186,568,157,980,432,622,352,976,392,593,990,543,724,484,814,
257,477,085,104,946,657,785,165,676,527,668,551,477,764,328,630,299,430,418,
567,511,237,666,846,902,063,726,061,366,912,597,152,960,482,711,372,966,373,
362,894,485,334,798,708,358,362,836,669,889,327,021,496,101,399,712,164,774,
336,280,404,123,884,699,875,855,761,827,222,726,870,992,874,627,516,047,503,
116,874,477,646,814,403,979,353,538,273,015,992,209,281,308,306,023,409,772,
021,657,266,611,919,281,906,933,764,002,449,928,048,985,817,345,607,556,726,
071,379,616,042,208,902,085,819,372,981,306,094,467,159,467,324,640,926,705,
213,951,645,366,116,186,375,392,319,786,138,363,038,366,669,063,459,335,769,
987,560,350,192,277,852,155,343,466,396,734,953,864,862,503,066,180,616,137,
316,141,069,594,332,138,067,039,917,695,628,515,545,391,914,747,312,749,552,
214,943,915,398,434,093,950,382,654,746,298,521,956,045,824,029,552,002,458,
843,680,018,172,100,876,703,650,591,157,845,499,427,234,526,673,838,451,558,
247,932,259,798,038,526,976,241,961,785,419,930,671,938,017,500,390,293,808,
326,861,415,349,837,462,805,352,405,217,213,621,692,680,356,923,268,617,574,
208,003,695,349,864,219,570,960,280,552,432,330,761,158,139,253,021,073,958,
476,634,157,466,051,453,999,832,054,113,889,973,249,946,330,071,408,084,587,
547,157,834,684,836,869,275,334,632,559,553,085,668,056,613,548,590,720,302,
457,100,375,334,970,125,921,307,473,676,589,682,134,570,756,331,753,782,508,
739,830,878,690,248,436,559,490,796,514,665,303,891,078,613,077,252,207,246,
995,296,037,289,081,055,338,342,238,849,221,698,470,326,420,861,087,472,830,
664,835,135,207,718,721,848,031,160,989,482,167,898,395,978,380,840,072,360,
068,927,148,368,852,820,227,500,101,792,361,877,894,448,628,016,578,469,721,
788,014,413,535,238,491,804,866,047,598,271,651,521,474,906,111,111,348,364,
025,995,073,698,986,573,702,775,601,460,804,147,066,236,146,178,437,160,134,
375,745,421,519,185,692,528,513,796,485,638,527,105,346,253,604,227,792,504,
438,576,567,996,081,520,174,193,700,403,498,445,386,695,699,948,976,474,252,
469,202,387,156,892,844,581,652,486,734,672,746,367,007,666,947,459,218,741,
893,175,090,528,991,448,945,020,954,427,172,682,455,120,405,856,610,297,207,
084,270,486,866,097,106,278,535,376,356,721,835,583,946,785,254,270,325,829,
519,688,221,914,363,832,475,649,422,615,400,324,847,139,801,862,060,081,134,
175,284,555,120,225,379,762,488,859,886,854,019,401,456,748,310,068,742,948,
445,794,082,043,306,810,577,079,607,462,729,741,638,107,257,562,109,921,039,
607,495,764,369,905,136,743,097,875,188,815,468,212,473,112,982,291,134,938,
455,716,427,906,417,326,535,763,953,615,354,318,043,401,660,555,175,587,774,
190,177,550,085,140,387,515,655,600,838,532,455,086,648,420,030,005,982,596,
598,665,429,967,253,861,228,215,390,765,414,626,028,938,207,671,853,050,951,
261,959,765,530,342,591,208,659,339,101,378,863,866,266,258,139,579,282,304,
005,592,135,488,701,477,976,926,665,089,191,120,917,108,836,375,646,068,359,
000,057,559,328,127,196,131,412,870,015,514,534,798,989,112,456,245,546,298,
385,374,561,500,351,145,475,170,299,025,946,493,471,882,201,478,257,933,998,
822,377,918,174,723,516,616,740,158,879,554,882,013,738,517,084,406,991,997,
956,437,353,961,235,969,868,180,350,302,149,396,793,443,344,564,376,125,595,
158,735,068,550,004,611,267,866,342,269,377,924,874,953,877,518,066,700,488,
150,222,283,087,286,790,195,206,720,462,097,628,494,301,175,109,470,538,757,
991,398,988,225,195,968,622,448,766,607,380,348,965,177,736,316,135,901,095,
477,004,282,681,377,692,272,790,540,275,548,654,470,634,619,786,695,121,120,
681,635,384,285,905,832,370,031,988,415,895,349,530,990,036,807,407,426,422,
334,653,799,208,902,893,138,405,183,176,651,961,704,500,003,524,923,598,040,
882,556,601,458,477,343,253,949,430,021,232,066,238,078,361,398,721,297,470,
375,685,289,289,594,269,336,745,386,665,716,562,580,000,733,877,396,343,643,
648,203,793,515,901,371,897,475,137,472,270,862,597,307,931,013,199,440,096,
169,640,990,842,056,882,638,693,251,694,200,097,978,292,871,505,506,654,498,
258,877,054,902,068,582,479,040,493,762,351,963,834,808,390,876,027,858,204,
245,415,431,983,065,173,764,627,103,450,662,986,422,099,161,694,869,384,488,
486,211,838,818,180,614,344,731,560,962,727,424,793,570,898,476,870,698,097,
868,243,067,842,223,293,116,627,843,618,884,998,008,317,710,402,028,137,578,
008,297,753,262,450,168,286,839,797,742,439,066,846,593,936,932,959,503,477,
245,197,471,687,378,857,853,923,606,946,165,626,479,176,377,870,858,216,342,
227,275,323,243,611,852,919,979,602,966,389,654,576,716,753,047,685,099,943,
007,603,527,003,486,307,508,624,526,936,613,258,925,987,989,795,330,716,226,
542,883,188,153,184,783,663,023,816,543,422,334,825,313,537,443,678,025,665,
370,669,652,874,505,778,455,323,718,213,860,643,594,892,525,203,071,423,872,
246,372,064,099,710,024,951,980,521,462,139,704,463,781,939,643,824,837,505,
305,096,659,818,356,703,181,597,664,492,105,921,909,922,439,192,229,191,373,
933,373,051,846,075,064,906,593,797,805,139,378,042,102,829,819,555,882,657,
730,793,755,388,385,694,080,865,496,896,228,444,032,359,205,335,979,216,449,
844,357,694,084,051,921,356,389,942,352,485,954,749,520,633,055,451,785,349,
527,479,046,013,806,375,120,305,891,004,045,265,458,095,961,998,583,682,552,
876,456,948,631,223,809,060,807,297,259,236,609,167,487,792,654,082,036,320,
540,196,057,471,628,673,864,371,422,871,770,385,506,289,570,035,309,085,177,
956,397,207,880,608,424,567,266,904,071,345,945,598,001,328,183,919,392,194,
613,976,071,005,643,097,947,291,864,806,855,219,362,568,439,448,019,719,230,
215,822,573,084,555,716,263,154,281,177,886,300,487,215,690,744,061,617,081,
705,123,110,251,389,833,307,616,369,625,910,274,025,087,824,358,605,572,976,
244,296,955,706,002,205,580,569,846,557,556,388,882,640,939,596,009,941,200,
288,493,487,380,697,992,552,185,891,529,917,769,111,347,934,420,765,739,593,
656,279,896,352,746,371,569,134,781,677,385,492,176,373,127,226,141,833,804,
280,525,495,526,441,765,618,553,462,191,034,233,128,080,444,999,921,375,096,
883,698,545,851,627,129,418,920,537,014,798,270,412,969,558,428,417,670,276,
361,238,120,164,116,286,972,512,064,126,525,760,656,069,566,629,946,847,158,
267,656,373,566,507,782,981,800,108,208,843,793,123,070,836,653,626,496,099,
632,596,211,969,435,898,778,620,889,508,707,843,797,342,383,675,304,943,130,
896,701,026,046,187,408,951,784,486,384,930,945,289,694,642,399,323,521,116,
176,251,522,525,648,046,618,526,600,036,615,160,470,907,220,013,927,734,299,
301,118,852,054,373,796,201,182,665,654,498,550,337,817,545,251,719,138,321,
656,419,888,990,888,362,434,878,900,679,627,128,382,094,187,737,200,675,982,
622,307,547,733,387,666,350,071,717,944,820,183,738,729,959,551,182,724,084,
521,414,033,040,610,558,714,050,416,618,038,838,066,437,881,244,906,131,014,
127,603,306,188,117,378,069,615,841,354,727,360,911,631,170,142,771,221,501,
070,605,102,591,529,765,163,612,222,673,135,527,383,013,404,354,072,393,700,
638,312,537,931,993,735,837,442,053,600,090,422,711,917,137,375,110,816,128,
015,368,002,490,850,002,415,205,008,607,194,693,152,657,747,493,905,760,371,
936,975,850,686,139,591,201,742,550,670,939,294,295,027,268,046,669,966,695,
013,774,069,298,726,459,605,800,743,569,035,119,933,991,249,522,611,389,213,
188,146,172,374,884,887,440,895,687,587,848,270,112,653,025,873,900,042,807,
916,320,871,587,057,040,496,825,364,921,138,296,717,308,300,797,570,556,904,
347,176,403,209,605,614,543,170,049,189,788,557,889,035,349,874,655,156,307,
484,047,444,121,044,902,014,122,689,865,860,511,237,532,298,602,645,274,215,
982,917,887,533,168,557,074,204,916,584,606,586,688,007,926,992,120,259,398,
012,056,891,019,751,821,722,691,145,556,373,699,178,820,953,948,463,342,767,
009,894,151,661,682,092,502,994,526,367,338,012,151,474,685,824,332,917,524,
669,147,743,387,711,929,791,634,504,238,752,345,420,607,769,893,574,647,072,
177,002,628,293,321,555,253,142,332,141,320,498,498,072,907,358,900,524,875,
184,667,442,870,261,061,418,700,583,649,019,245,294,706,751,008,469,826,537,
609,485,025,879,910,892,320,993,045,176,572,735,160,049,445,019,668,063,251,
890,925,938,650,276,209,680,529,864,983,308,953,040,513,055,649,382,344,855,
606,629,268,474,787,269,287,879,229,338,395,569,910,745,101,508,627,927,739,
742,389,509,405,281,763,160,755,331,088,625,998,755,445,129,228,719,944,319,
717,602,010,307,292,745,830,847,153,380,708,638,204,046,588,518,053,904,953,
030,271,296,624,756,152,077,705,481,765,711,602,524,210,213,110,999,460,228,
579,501,482,957,885,140,155,270,022,068,533,279,691,161,211,589,621,051,338,
778,819,838,311,240,339,230,844,440,845,558,053,850,795,209,501,539,587,076,
698,720,314,822,428,171,582,294,438,183,989,739,989,880,971,252,515,643,400,
494,417,469,413,755,914,700,017,098,746,883,206,033,359,598,155,065,587,180,
869,827,931,650,025,367,607,295,389,295,125,914,694,317,277,026,338,297,367,
742,043,288,081,098,755,235,877,741,888,579,183,967,627,817,454,306,883,868,
111,998,109,791,312,267,184,013,989,111,738,266,892,921,176,067,111,456,855,
427,900,548,400,698,300,660,609,359,443,298,522,744,161,713,457,325,105,103,
234,351,109,607,655,704,504,596,693,831,846,315,855,566,553,308,044,252,415,
190,712,545,293,643,386,562,717,061,365,727,272,243,610,658,823,382,686,491,
687,157,624,696,413,096,534,251,262,419,903,429,144,990,740,026,954,478,696,
267,568,386,725,021,524,817,761,686,012,492,441,569,141,435,990,472,436,116,
211,310,818,996,925,648,893,411,090,755,447,445,538,305,623,493,951,823,479,
322,069,757,333,268,598,426,238,420,109,177,185,683,543,445,724,238,848,157,
079,149,049,297,118,685,281,496,953,721,710,514,302,387,802,047,239,252,787,
358,091,475,488,214,132,957,488,459,126,404,608,328,003,575,876,323,580,549,
505,737,427,467,713,672,755,007,822,681,296,752,054,965,857,501,287,763,039,
750,230,403,220,543,583,465,638,855,691,044,559,662,318,471,878,950,900,974,
934,431,774,039,285,345,699,083,706,448,237,695,409,342,479,425,602,302,389,
423,019,541,264,006,171,448,862,837,924,321,635,210,180,814,920,199,314,795,
356,650,408,584,874,665,126,191,118,295,646,460,267,295,079,763,286,404,498,
589,577,760,052,983,141,639,279,259,544,346,878,119,832,179,785,610,023,659,
975,297,888,461,384,203,671,229,853,718,839,794,318,001,368,333,791,856,841,
886,952,020,495,131,640,603,226,507,779,856,588,365,334,388,774,433,407,484,
083,786,919,789,360,123,486,371,415,571,369,682,478,065,335,204,314,607,499,
837,557,509,035,783,627,660,515,874,038,083,448,722,906,459,959,435,714,806,
098,246,518,556,700,636,352,623,373,515,519,499,655,037,172,802,380,407,995,
332,495,941,027,055,075,134,872,428,308,277,101,147,232,923,011,082,105,105,
487,534,566,020,714,587,021,759,630,448,065,271,302,119,492,133,298,775,385,
626,309,767,810,506,487,866,762,781,198,996,585,198,807,935,745,046,073,124,
222,746,436,307,603,618,683,384,516,623,152,354,295,476,639,468,024,619,987,
241,612,650,634,049,827,970,458,197,785,668,364,562,404,926,303,910,635,334,
242,488,999,059,807,082,995,642,744,783,123,663,934,521,286,307,079,715,773,
547,276,358,942,697,201,833,217,181,594,906,306,138,594,504,678,248,024,014,
961,974,001,694,104,982,379,953,045,224,446,740,711,546,656,754,347,461,933,
384,855,513,005,018,350,605,770,620,752,513,042,097,525,367,664,428,165,241,
863,167,064,430,395,664,200,463,791,596,062,435,762,678,157,754,087,643,431,
403,445,086,518,162,974,908,060,256,221,591,047,962,281,572,164,685,374,073,
106,096,798,008,237,929,488,819,386,389,802,051,982,093,431,454,906,939,388,
519,761,943,889,921,563,273,496,054,745,676,276,711,348,635,689,796,005,461,
729,440,023,997,012,146,321,683,000,297,120,331,982,879,333,783,333,040,434,
581,110,821,562,298,572,329,565,659,441,938,819,863,998,695,802,984,149,981,
733,677,249,623,169,257,319,534,571,428,830,173,259,437,387,573,134,844,162,
111,358,286,200,246,527,634,418,920,916,603,925,199,561,201,392,661,905,903,
802,904,374,433,458,831,597,106,017,804,085,160,685,210,320,731,041,668,818,
632,386,922,825,627,729,856,298,838,261,071,599,231,924,928,338,985,412,780,
643,143,130,107,183,126,325,529,631,618,592,348,445,958,251,738,227,891,871,
992,151,140,216,315,327,699,614,329,206,558,458,046,489,263,721,460,574,604,
292,868,739,236,391,938,861,389,633,125,642,882,726,879,214,925,163,957,161,
219,913,102,894,542,879,330,201,054,756,128,287,147,488,365,192,592,304,637,
985,907,293,729,954,984,846,394,059,586,016,370,211,767,964,492,749,655,203,
643,786,972,531,372,156,397,586,245,371,906,403,174,748,997,288,591,273,524,
979,034,215,182,168,388,374,996,033,361,227,223,059,670,297,050,881,852,244,
966,377,638,624,505,732,762,026,068,570,181,586,811,874,279,058,897,322,331,
601,252,966,508,230,480,217,209,158,840,564,649,626,416,354,929,713,513,022,
171,734,491,618,994,211,552,248,373,700,733,812,425,743,360,542,026,458,822,
225,708,659,156,976,102,276,521,829,699,949,949,742,916,331,512,684,419,406,
147,235,010,655,696,587,809,567,773,373,703,344,967,541,139,677,175,001,630,
060,025,542,072,916,814,144,960,159,536,077,812,872,679,637,753,938,375,105,
170,416,267,167,061,876,538,256,243,603,042,635,394,983,167,353,098,700,979,
047,650,276,178,067,975,499,357,273,083,324,328,806,819,925,524,010,446,250,
983,606,741,921,781,310,562,418,329,076,335,982,078,828,600,937,665,794,629,
854,932,705,132,258,721,332,497,784,678,725,576,022,756,302,799,749,007,801,
152,220,341,265,752,528,413,756,871,700,974,139,473,276,308,254,805,666,680,
199,846,513,409,789,043,220,039,168,216,764,705,227,756,132,226,381,385,234,
971,659,992,546,194,843,812,684,007,681,168,873,552,355,099,657,179,601,081,
240,819,126,954,148,894,239,148,408,713,775,836,006,923,892,025,672,350,537,
492,963,690,682,534,289,417,107,747,361,321,718,603,954,887,030,478,347,167,
888,500,079,858,548,549,184,299,066,344,701,940,682,826,011,567,741,094,109,
213,025,603,215,951,007,456,200,615,222,118,393,531,588,316,747,102,218,676,
668,982,412,066,194,217,356,349,422,593,069,830,288,178,464,221,260,139,546,
438,162,947,436,461,900,735,793,214,420,697,992,025,864,018,761,311,119,757,
706,713,828,126,449,800,344,245,038,762,187,596,461,945,310,568,282,266,869,
310,199,120,826,273,479,110,281,331,614,268,757,466,503,546,009,849,130,750,
897,366,931,071,020,940,986,544,902,051,509,662,976,674,346,606,182,484,662,
892,728,330,028,153,501,230,367,962,529,880,023,819,779,681,838,477,008,281,
598,158,741,253,642,366,898,695,057,852,489,367,597,973,673,862,591,354,094,
259,023,119,875,855,725,287,773,983,964,948,803,488,281,710,957,184,413,718,
738,459,832,425,174,204,409,088,030,694,525,171,358,283,295,766,679,987,436,
873,019,935,470,948,856,123,165,671,019,735,631,687,590,504,395,373,055,273,
836,908,859,634,219,403,763,549,692,268,690,653,398,588,533,986,482,654,521,
887,397,777,585,407,189,844,637,773,289,486,167,303,739,355,640,718,219,857,
576,229,487,418,217,978,550,169,932,742,342,689,194,991,731,805,057,058,717,
363,011,739,488,333,968,655,665,141,609,603,341,958,149,792,416,005,661,828,
878,326,622,212,569,750,663,200,347,685,276,209,495,718,221,037,664,767,954,
149,326,622,199,747,801,262,096,627,607,866,971,221,903,259,783,038,073,058,
698,600,043,892,558,825,955,670,537,096,172,398,976,159,740,383,155,181,528,
323,457,788,667,757,485,489,212,488,563,489,083,271,312,325,063,982,807,251,
970,250,304,168,146,868,962,917,277,332,302,503,154,623,324,316,214,378,881,
620,348,808,425,307,389,223,712,143,825,199,337,397,069,461,685,386,377,001,
197,625,109,356,799,645,853,279,592,375,860,836,875,840,854,545,954,602,946,
871,803,820,722,805,489,872,693,704,630,265,759,287,987,851,249,543,368,577,
207,323,911,603,917,474,644,757,913,486,107,163,345,458,628,303,358,440,569,
991,685,347,752,706,315,314,065,493,090,448,246,753,791,349,925,504,599,390,
594,537,364,100,794,229,495,572,057,291,599,339,378,584,224,013,185,235,602,
647,845,930,458,752,461,402,532,967,296,970,429,060,052,276,429,879,839,758,
917,649,888,806,982,776,403,850,738,120,561,841,964,806,861,346,710,222,734,
214,235,283,715,667,527,736,046,339,991,298,416,376,455,561,048,395,128,891,
836,961,389,701,164,047,383,152,031,975,892,419,842,950,108,349,431,599,093,
227,842,242,449,121,172,662,740,344,287,211,824,406,280,010,111,835,398,943,
287,948,083,306,079,738,857,761,417,599,659,100,315,596,728,283,414,602,949,
850,164,996,438,275,898,673,660,101,924,653,294,570,665,202,168,015,250,836,
565,637,243,044,768,748,085,764,678,651,406,646,044,672,064,247,615,916,554,
796,486,341,676,264,161,038,818,486,077,399,041,681,159,266,005,227,832,557,
728,407,268,084,485,615,513,823,307,433,550,184,393,738,419,425,613,312,823,
231,254,732,409,634,176,552,042,377,045,801,460,752,423,939,003,731,870,126,
966,909,501,678,125,379,428,181,893,731,072,929,705,714,846,801,094,741,722,
104,219,721,427,529,382,343,013,150,033,830,039,659,840,064,025,533,691,746,
506,978,561,897,944,835,990,596,914,573,361,930,133,553,216,673,847,527,304,
650,145,768,967,569,401,034,073,702,156,559,022,756,555,043,356,829,990,053,
169,188,354,124,875,043,144,435,465,200,703,528,662,937,776,423,212,933,756,
377,923,711,312,452,836,931,609,805,815,856,978,962,014,693,092,459,404,120,
682,881,219,427,284,968,065,625,105,887,887,175,410,539,380,872,941,803,961,
458,652,220,162,376,730,854,738,106,520,584,055,671,535,374,311,362,474,683,
156,074,026,867,415,274,527,893,110,609,756,779,643,363,103,637,935,115,839,
817,777,839,043,290,776,927,755,980,530,805,795,689,853,615,942,962,584,776,
926,382,150,238,244,988,704,296,810,575,206,974,669,453,273,325,710,070,853,
303,233,788,100,627,377,106,279,504,187,895,051,621,773,665,937,823,646,344,
529,216,037,441,365,808,600,418,732,742,003,009,772,061,742,418,278,079,734,
667,555,241,399,835,969,925,051,855,063,888,865,733,345,435,271,532,634,269,
076,018,864,795,736,767,920,682,356,481,704,102,664,910,203,823,270,279,426,
300,725,841,941,335,954,034,039,534,488,268,300,408,765,433,635,755,164,257,
101,352,826,463,346,930,140,772,203,642,899,284,217,367,200,229,723,015,945,
642,305,305,346,493,257,531,568,938,069,237,014,927,693,412,247,163,053,203,
682,793,470,846,481,941,510,775,092,549,021,730,340,785,238,042,574,663,415,
200,089,560,667,906,821,018,759,559,093,893,547,634,118,403,250,817,078,218,
351,824,668,273,695,051,826,952,790,988,435,690,698,820,560,955,064,509,163,
070,068,728,988,265,679,565,944,141,544,002,509,228,506,974,476,012,233,323,
770,525,416,666,485,453,368,819,446,980,915,914,474,357,997,208,343,299,851,
016,197,382,477,484,987,625,103,332,630,668,247,273,867,140,636,209,166,630,
315,950,289,065,919,336,898,282,858,785,154,320,482,221,845,787,375,758,065,
063,629,386,943,996,462,724,151,916,199,389,719,041,864,350,219,576,212,520,
255,063,874,711,444,208,135,788,986,230,625,921,533,904,124,593,561,048,328,
780,045,736,149,603,093,842,130,283,371,926,829,791,514,664,965,311,263,429,
439,332,276,981,675,381,515,153,900,643,356,741,814,148,925,618,872,431,824,
559,297,004,814,945,816,872,844,323,345,807,114,646,986,273,467,335,190,699,
998,276,479,654,732,153,389,227,813,702,835,669,258,831,876,273,505,817,431,
476,217,651,232,429,784,005,627,431,092,952,210,353,839,729,595,708,027,007,
427,063,087,390,306,643,319,906,396,960,847,218,243,991,086,623,293,447,207,
640,534,680,237,065,537,610,312,864,603,318,511,634,793,140,944,193,356,525,
086,799,376,034,071,919,015,715,056,607,239,645,771,389,442,761,481,907,818,
885,740,085,654,460,199,714,102,989,295,598,689,701,940,959,998,841,245,680,
950,410,434,687,810,515,024,527,683,482,292,071,497,837,246,213,957,053,347,
628,239,181,604,032,767,789,381,258,138,915,857,572,875,481,533,299,493,774,
569,088,182,667,315,265,029,689,510,891,042,511,905,996,389,539,213,872,402,
338,526,609,680,599,993,761,074,217,317,475,806,212,797,114,198,849,749,972,
518,903,285,850,806,092,150,425,112,296,284,493,143,490,518,261,634,174,997,
202,084,776,536,887,866,180,434,750,547,706,346,037,516,479,673,221,343,926,
497,274,988,439,580,346,315,785,539,644,177,464,738,551,554,400,921,667,816,
342,573,406,473,328,726,494,999,407,869,161,319,904,353,068,395,283,601,901,
068,934,292,624,535,888,918,334,516,660,886,294,435,105,986,007,796,818,165,
396,103,895,155,086,663,785,750,446,174,908,789,895,638,147,252,466,164,307,
795,335,653,257,329,797,621,393,323,563,603,625,847,519,173,107,732,427,992,
621,454,703,046,701,806,090,324,397,116,698,168,272,071,392,419,125,870,591,
501,203,063,115,030,447,503,768,649,009,253,855,692,828,233,368,660,537,499,
341,144,632,357,622,788,978,888,921,214,563,495,097,955,998,280,968,746,841,
770,659,985,566,226,454,761,197,023,357,070,220,046,968,228,373,364,624,393,
552,207,382,772,020,523,587,552,845,333,105,008,096,359,593,762,608,051,526,
950,639,982,253,748,948,328,017,775,475,458,228,011,010,916,436,005,924,811,
630,508,766,744,608,032,751,564,504,588,577,465,599,161,383,805,080,517,287,
534,681,378,645,981,298,138,745,876,157,415,154,150,609,043,205,127,919,867,
720,049,923,585,560,338,414,171,418,809,130,689,654,231,118,483,383,451,096,
905,202,628,579,726,859,516,350,241,140,034,370,605,371,377,046,796,798,746,
394,237,763,017,489,296,001,291,519,682,006,977,466,763,608,188,896,378,143,
553,336,563,943,666,777,905,986,203,376,316,590,964,485,142,672,463,826,431,
563,981,571,767,395,018,765,479,858,529,104,377,042,967,962,670,223,135,462,
625,108,630,505,388,103,883,803,921,026,183,963,628,358,408,544,185,596,834,
827,052,489,544,275,292,720,650,043,741,893,882,204,777,947,695,074,315,501,
314,974,528,660,717,325,930,407,865,645,867,061,984,283,472,491,858,225,550,
511,810,505,963,697,000,086,302,492,301,070,226,995,776,868,298,954,389,465,
775,432,302,520,755,418,847,815,955,158,732,965,134,850,667,921,943,748,693,
569,749,514,556,113,264,981,567,706,719,952,376,334,834,392,701,997,367,491,
082,084,115,208,652,061,582,136,267,215,558,870,560,222,268,078,662,554,782,
847,784,334,010,264,282,820,471,503,123,125,200,879,609,814,859,965,899,489,
209,096,720,620,241,434,729,633,902,912,140,710,626,984,208,675,537,355,663,
924,427,802,063,812,929,407,565,518,876,733,195,928,973,393,169,355,006,611,
567,637,093,824,073,898,060,807,638,626,019,023,083,120,866,234,060,973,512,
852,140,531,047,369,177,499,589,408,965,459,289,413,725,525,549,261,601,614,
626,696,897,684,926,326,675,987,625,418,023,320,946,111,574,929,229,451,745,
441,840,769,347,590,990,254,260,161,642,064,687,147,449,913,304,057,615,824,
941,652,236,006,630,474,793,101,837,572,748,679,199,304,263,455,656,499,594,
414,005,342,050,059,776,096,890,674,327,882,590,513,044,708,338,495,038,943,
742,945,321,981,116,095,863,846,641,041,215,089,347,434,841,790,602,936,217,
061,927,894,958,335,600,081,466,778,749,030,165,922,044,990,803,997,229,370,
711,535,964,088,036,152,614,764,437,962,803,432,531,606,573,183,167,888,692,
387,571,165,281,511,891,352,070,687,177,901,032,046,712,145,729,828,422,478,
332,503,781,181,630,889,648,361,279,391,604,131,540,598,310,548,503,199,971,
757,091,433,722,109,678,415,491,669,755,509,674,587,755,123,843,258,448,505,
686,287,922,159,905,314,122,881,045,177,747,829,732,493,711,534,299,577,572,
951,934,430,736,942,321,191,476,799,832,292,320,527,582,557,113,240,182,223,
282,150,349,376,387,043,517,954,093,423,093,416,561,362,238,776,680,922,856,
314,966,906,945,189,909,925,051,557,337,656,420,496,861,647,380,777,366,574,
555,204,067,969,260,066,938,520,687,024,515,839,112,126,568,766,266,895,019,
259,393,896,821,356,695,881,916,886,512,661,732,777,950,054,797,607,646,911,
956,577,798,109,414,428,311,410,552,383,398,244,764,229,885,528,395,732,385,
528,581,133,020,181,491,219,234,311,626,497,609,998,555,605,783,943,120,000,
899,540,495,444,223,358,057,963,874,677,096,114,258,511,286,993,765,520,700,
577,488,206,648,016,112,460,298,865,696,405,469,036,859,293,868,179,328,930,
489,901,224,283,032,546,111,667,255,358,629,590,304,051,220,842,181,522,701,
960,435,462,081,679,543,276,170,296,117,209,551,905,654,709,918,167,117,473,
164,369,932,910,736,627,725,967,145,225,825,923,948,803,415,746,488,786,881,
750,390,102,418,410,528,403,593,310,021,234,857,165,531,660,746,594,824,061,
589,824,961,499,575,513,906,193,416,648,400,751,875,339,180,179,191,043,180,
193,148,669,022,293,651,744,199,323,605,452,967,394,859,716,959,265,683,309,
609,771,303,991,135,645,773,258,521,921,458,486,359,635,433,591,440,518,269,
802,533,816,555,850,844,642,061,849,615,147,485,837,307,009,233,528,483,901,
864,372,872,111,750,475,920,010,665,157,554,083,346,692,678,945,412,209,734,
596,172,628,190,639,308,420,040,217,109,709,645,226,638,563,078,609,705,740,
627,661,392,247,693,194,087,066,858,613,205,032,422,945,761,315,781,386,442,
916,382,474,532,078,295,821,062,766,551,017,582,674,669,941,993,350,648,415,
829,926,622,226,183,217,389,103,034,724,367,546,186,178,633,886,697,333,067,
595,589,707,535,207,443,417,173,322,579,215,599,084,795,724,479,634,564,380,
467,553,455,928,950,760,437,934,730,338,772,070,598,122,499,741,760,600,032,
008,783,648,083,082,967,217,639,467,371,385,719,198,169,360,456,017,040,591,
629,576,218,034,064,630,456,188,506,336,789,783,926,165,387,940,214,472,660,
214,937,246,603,966,838,309,620,002,329,864,194,324,883,488,452,938,730,207,
188,966,144,760,746,975,965,438,890,422,233,382,952,947,186,603,073,101,151,
322,061,584,507,490,261,720,345,721,631,190,007,327,913,500,323,638,261,943,
185,799,537,469,515,331,840,903,782,155,806,841,459,796,221,017,176,911,321,
740,345,081,633,849,574,207,001,214,085,447,265,639,922,537,140,971,247,721,
859,047,270,179,809,644,651,245,151,376,282,393,369,271,581,254,272,011,619,
879,470,113,403,587,872,407,229,150,020,023,346,746,689,787,914,891,802,244,
140,582,696,135,008,395,625,367,678,965,441,281,444,512,734,880,893,409,950,
791,427,526,568,363,960,178,644,015,098,383,729,773,392,159,702,413,684,543,
064,103,166,716,263,551,124,375,229,803,683,721,071,662,908,712,982,774,411,
081,468,925,078,354,758,832,387,061,769,581,169,704,043,429,751,055,219,988,
160,904,015,724,059,836,905,320,193,875,475,345,852,346,951,136,200,024,687,
310,167,983,774,350,495,159,956,027,053,942,641,985,554,200,163,893,700,004,
086,767,855,434,822,020,661,461,932,389,681,598,065,123,385,436,753,570,075,
043,730,015,655,247,697,258,453,522,786,527,737,579,158,093,143,852,966,297,
866,686,429,128,974,020,411,153,519,720,032,821,768,870,584,281,541,190,726,
039,870,515,631,479,424,261,915,695,167,018,741,417,077,836,735,940,303,291,
395,448,156,052,587,613,300,479,752,148,434,429,489,689,855,905,859,290,515,
961,927,019,653,285,494,880,919,505,461,886,338,235,599,788,831,832,703,368,
174,303,720,169,744,408,928,433,159,176,260,517,185,286,370,184,296,766,985,
299,877,900,386,213,130,980,784,610,712,828,298,474,368,106,451,582,414,739,
544,707,929,508,971,895,407,353,355,834,214,073,002,680,293,158,589,096,474,
122,900,237,308,518,509,681,427,508,695,863,164,284,618,761,225,255,807,948,
822,179,120,219,693,823,559,984,354,100,545,714,994,455,204,470,343,814,281,
794,944,005,533,829,471,966,969,870,599,266,886,201,005,955,698,495,229,281,
286,380,431,421,423,918,445,271,119,419,877,834,359,256,692,151,290,935,747,
801,645,306,004,441,430,642,050,182,421,344,727,118,620,109,258,101,556,764,
200,179,352,399,822,714,799,998,631,725,826,417,688,526,998,174,962,686,765,
839,155,557,315,703,141,300,735,202,774,027,202,101,255,844,062,976,507,136,
363,555,825,330,332,288,099,172,774,187,444,943,592,040,363,413,161,853,973,
485,247,938,586,453,244,614,654,600,059,288,357,156,295,945,416,116,489,530,
611,022,287,419,459,983,926,429,374,179,370,184,295,133,189,772,104,109,665,
743,769,343,748,105,754,927,213,580,838,344,174,880,794,413,614,411,770,131,
838,230,351,100,959,956,653,785,983,925,981,648,059,820,781,711,081,114,903,
417,650,195,520,368,095,281,130,128,747,615,289,810,471,930,052,470,904,457,
629,437,318,960,525,224,416,615,791,993,786,710,747,175,006,424,403,360,897,
287,055,344,226,875,016,636,171,912,804,465,791,313,029,628,773,191,981,232,
329,073,160,061,585,621,485,498,338,050,284,503,493,310,501,279,777,773,306,
960,713,056,395,243,185,458,642,540,218,874,388,137,193,074,023,792,756,143,
238,854,573,393,490,551,407,851,730,690,904,877,352,993,053,955,065,640,701,
149,217,249,481,967,558,221,221,109,116,060,345,692,136,242,062,616,568,045,
933,471,869,009,562,492,927,515,785,114,962,668,856,643,174,409,222,348,868,
130,003,978,477,809,755,375,827,772,032,653,512,689,852,838,407,045,071,518,
138,343,086,239,261,708,658,456,477,418,785,653,176,752,829,774,047,930,229,
310,174,941,212,743,123,479,157,387,548,647,256,505,507,765,724,168,423,515,
673,971,853,558,122,465,959,932,940,600,013,317,406,628,126,583,530,223,245,
212,188,074,041,274,740,978,738,551,196,645,282,738,132,501,339,658,851,474,
768,930,004,699,432,985,433,106,203,298,597,806,945,480,197,620,141,112,052,
348,071,511,920,086,541,212,616,546,016,598,704,033,745,005,207,131,447,639,
485,163,721,591,660,759,747,312,757,939,127,909,472,564,640,070,215,729,565,
836,982,285,845,216,168,794,262,315,402,350,787,101,982,109,113,126,376,522,
237,706,559,966,411,604,025,068,567,703,451,407,765,801,662,736,704,577,750,
614,966,954,746,361,379,144,498,771,434,744,815,778,950,302,730,264,871,354,
887,098,927,644,841,413,508,324,795,318,440,707,138,765,523,491,247,047,718,
587,979,687,633,057,584,124,167,618,210,823,178,657,113,311,804,804,890,747,
148,921,269,846,168,215,643,392,169,262,190,705,345,107,273,848,820,567,447,
452,090,968,031,448,820,528,663,529,861,559,742,116,570,375,973,164,428,168,
281,638,824,834,903,086,442,463,376,286,110,683,308,304,259,079,801,779,842,
047,721,437,509,283,609,264,000,386,514,955,418,656,135,776,340,710,349,136,
935,586,257,408,461,196,090,380,732,041,250,968,574,129,161,332,242,068,569,
722,254,787,039,739,878,609,852,939,399,673,020,372,581,749,975,253,240,047,
529,339,446,215,311,511,037,667,770,339,814,169,769,274,478,797,072,566,735,
305,694,674,190,819,300,891,745,231,540,926,589,545,453,665,161,433,250,516,
304,000,523,883,830,255,229,866,702,363,974,483,988,655,450,293,141,962,998,
606,300,828,796,249,834,210,255,769,234,548,965,958,193,997,427,041,304,228,
966,455,803,847,150,268,720,590,105,694,716,312,907,359,294,536,463,138,061,
878,502,291,090,288,437,933,574,700,452,517,284,681,825,785,033,770,403,997,
317,006,190,498,865,280,619,347,120,213,359,148,840,538,724,369,464,636,194,
159,220,839,200,092,296,603,534,279,951,277,359,197,224,390,182,172,402,122,
894,756,005,262,908,213,077,759,432,337,423,494,746,680,120,799,539,683,677,
964,644,752,111,469,729,216,438,314,907,803,394,538,841,014,714,927,428,734,
413,017,204,162,575,785,077,328,547,015,910,684,364,296,696,107,634,594,749,
940,600,594,450,851,884,194,729,717,844,437,927,387,048,050,122,835,077,986,
507,160,050,217,900,671,186,785,286,354,037,982,323,345,123,405,289,608,262,
848,469,382,768,307,778,093,561,343,146,123,153,983,349,212,671,960,602,862,
461,814,372,599,609,044,724,968,018,906,694,608,075,585,460,818,449,192,669,
487,159,244,090,994,880,204,512,699,223,226,714,594,167,994,326,937,726,850,
770,492,151,437,770,421,025,963,146,540,642,642,530,313,752,295,683,353,785,
030,369,255,892,083,046,436,670,081,681,062,661,497,194,503,216,116,679,674,
355,399,137,616,902,528,123,656,968,032,695,314,933,099,224,975,998,810,618,
338,787,552,343,231,593,436,089,246,120,097,999,262,107,803,397,296,693,094,
904,881,261,284,556,204,678,826,847,084,676,412,214,872,186,952,265,350,706,
985,020,514,860,511,079,015,892,459,839,051,655,271,607,876,132,703,532,523,
394,825,037,752,405,332,975,835,119,439,653,048,313,416,435,011,722,831,872,
042,291,784,071,944,252,106,763,006,232,339,591,667,047,038,576,399,557,113,
679,577,046,715,725,375,292,893,563,656,825,387,300,435,970,446,892,911,124,
102,381,083,775,016,200,506,800,747,007,723,001,959,458,009,816,058,319,731,
431,727,130,695,834,968,054,728,383,975,188,952,347,508,591,129,815,442,233,
487,815,637,995,803,085,388,823,584,579,325,168,190,344,351,381,291,918,278,
891,485,208,280,811,372,339,227,888,386,873,969,676,276,042,236,846,264,827,
372,554,417,739,497,372,943,779,228,969,062,531,212,180,659,113,201,180,661,
163,310,928,253,198,267,205,632,724,558,890,455,447,321,628,929,364,699,637,
163,834,720,366,294,272,521,825,142,870,128,703,526,807,897,804,538,226,120,
896,753,790,354,410,815,040,280,463,733,618,106,979,056,348,158,788,390,528,
948,434,353,823,466,816,634,727,457,576,462,071,004,584,598,146,718,718,062,
927,514,668,027,091,614,693,371,653,999,591,097,471,335,254,469,239,051,984,
715,008,424,672,075,273,544,980,399,652,875,607,889,450,077,514,011,956,205,
282,103,174,436,896,831,779,442,474,749,777,241,023,423,633,964,250,646,069,
633,889,907,793,146,450,268,370,149,048,998,848,894,220,792,621,370,067,190,
376,638,144,343,469,796,893,107,811,325,813,198,274,948,921,700,551,708,851,
721,006,088,283,121,283,982,344,052,250,543,499,075,476,007,736,120,832,593,
141,269,831,627,243,361,311,710,600,509,906,464,021,206,531,131,415,063,954,
273,703,922,510,101,360,745,779,426,591,314,774,857,332,781,916,765,561,720,
831,213,961,540,950,489,784,282,787,011,726,915,993,482,514,067,383,838,134,
151,923,871,048,682,401,430,973,920,081,695,182,730,189,687,589,233,416,152,
929,021,400,765,649,850,497,055,810,351,900,378,175,486,024,369,324,595,413,
389,876,967,655,287,147,439,243,860,595,530,325,180,505,593,576,093,457,003,
689,236,461,140,618,540,262,541,949,924,342,996,579,733,234,428,743,513,752,
515,030,767,007,271,304,174,626,998,064,307,218,382,390,738,231,328,952,129,
899,482,792,517,600,209,708,939,521,619,656,868,931,038,636,167,990,568,482,
299,052,555,929,141,686,375,768,505,289,285,787,388,590,856,811,643,750,541,
724,853,976,061,033,616,126,580,959,833,161,181,500,777,020,860,131,994,003,
182,745,401,579,011,763,604,451,187,808,400,278,545,362,419,324,430,292,358,
217,892,276,943,420,932,201,545,294,390,781,119,537,196,676,617,199,168,826,
308,141,423,536,237,754,418,543,184,251,292,810,074,989,908,844,178,197,810,
470,584,029,627,539,472,635,534,205,564,083,195,944,897,184,550,124,913,880,
171,330,636,316,885,997,781,599,137,410,720,145,404,464,250,996,266,295,005,
879,837,962,271,666,825,698,648,451,258,631,271,331,840,256,626,496,757,859,
542,757,382,215,613,406,708,323,608,155,128,915,290,197,738,380,910,753,902,
982,627,524,874,116,872,880,265,537,098,447,270,910,001,371,651,713,767,148,
351,327,283,635,254,143,939,600,640,446,191,686,281,955,914,929,611,290,836,
994,867,837,064,728,264,981,785,247,046,136,146,219,191,834,196,397,463,992,
092,689,190,756,105,862,341,276,846,767,482,258,513,939,522,720,252,040,861,
226,068,884,148,228,349,964,188,836,599,831,455,240,051,979,389,841,691,580,
867,099,616,027,529,687,697,086,110,241,051,756,226,635,565,818,052,087,274,
867,721,308,943,033,012,495,042,229,318,795,143,635,006,247,475,301,973,710,
995,248,216,054,426,895,015,969,050,111,220,342,794,970,485,683,569,512,897,
858,328,749,136,546,562,059,725,833,571,876,697,239,270,251,326,158,302,849,
196,722,557,627,115,093,200,812,015,546,408,677,097,872,830,896,028,656,202,
188,232,736,387,743,289,242,738,808,427,268,249,727,944,748,302,732,431,930,
556,780,158,406,275,330,102,341,345,072,336,216,285,701,462,874,331,083,947,
802,332,248,403,494,710,831,805,159,651,687,533,500,625,330,465,667,572,357,
250,069,665,802,116,263,414,432,794,659,579,896,092,837,848,590,746,472,335,
395,433,055,966,400,334,474,996,004,273,559,147,630,652,344,699,810,558,796,
895,391,998,746,616,537,597,075,922,173,856,184,177,525,011,460,144,450,405,
581,245,188,284,781,691,956,403,398,180,993,451,008,932,832,101,724,557,909,
130,206,450,470,468,967,586,621,334,081,610,475,856,670,994,998,641,803,870,
197,167,156,156,123,010,293,985,789,941,193,984,336,881,636,145,289,236,216,
034,921,703,678,009,778,893,560,968,903,441,318,517,957,394,658,221,781,360,
902,981,449,928,465,034,187,765,827,753,840,098,763,875,189,511,180,133,477,
431,576,219,069,262,605,123,164,820,440,581,092,623,583,401,944,333,177,904,
491,763,000,229,446,115,724,911,783,223,424,422,177,777,499,711,344,410,512,
068,599,877,618,566,768,093,237,652,271,056,153,488,662,877,203,144,817,491,
682,625,850,840,831,997,327,216,765,392,099,347,633,067,888,037,975,318,650,
444,800,306,130,090,286,878,330,106,876,203,770,305,747,950,619,609,245,679,
082,403,850,219,315,544,234,296,964,388,916,418,420,771,184,594,362,404,725,
765,645,409,074,728,473,098,690,586,030,655,136,567,425,348,149,049,948,474,
735,116,459,674,364,786,837,777,839,518,466,714,077,227,011,877,746,217,253,
501,299,759,628,975,764,018,224,301,046,008,011,837,510,751,400,051,154,838,
375,334,601,774,464,117,394,564,120,730,091,494,712,942,826,035,267,017,707,
665,400,720,254,052,280,762,953,024,931,005,037,287,695,373,219,772,052,058,
265,766,081,477,928,487,525,631,049,405,896,626,901,760,073,952,639,091,354,
422,655,864,930,354,272,851,280,396,997,620,318,252,033,078,301,108,502,935,
267,316,803,202,228,021,298,924,255,794,666,799,229,126,463,224,520,885,494,
048,876,822,731,711,132,349,246,451,032,925,318,756,689,035,940,142,021,610,
403,789,759,984,740,533,702,306,639,306,777,823,729,963,633,297,624,796,775,
209,785,265,408,616,224,944,422,681,006,173,414,716,550,262,099,546,422,674,
984,375,527,403,234,819,357,137,745,386,931,347,191,512,290,823,059,376,866,
285,190,222,392,883,480,092,239,516,241,837,192,891,541,063,869,775,626,264,
789,221,614,154,557,544,921,788,975,951,101,119,397,980,352,362,021,755,052,
243,194,731,434,861,955,125,529,536,525,203,677,424,624,394,370,003,540,078,
488,822,742,062,355,136,475,640,454,199,569,805,486,496,089,659,549,587,890,
691,606,960,678,658,194,981,914,264,855,159,114,974,059,864,594,974,097,226,
420,270,908,707,507,113,071,696,957,594,974,665,252,751,752,080,668,975,755,
081,383,655,930,238,190,309,756,699,580,108,624,905,421,731,358,190,224,393,
524,915,145,220,096,829,189,059,077,626,421,556,353,790,401,584,350,915,100,
462,292,190,228,160,876,177,878,299,527,457,832,011,269,583,245,316,027,758,
915,945,974,240,175,641,198,493,256,156,351,374,213,246,332,905,248,892,703,
799,315,713,510,558,764,719,088,221,899,172,878,104,335,116,227,435,806,038,
660,772,941,318,279,768,672,407,259,814,101,498,878,985,733,460,734,040,250,
300,634,222,010,059,287,076,525,464,941,494,032,229,020,837,286,309,760,366,
366,888,223,654,319,580,841,202,220,564,097,356,440,225,630,217,613,777,043,
221,278,855,497,045,084,715,029,825,648,151,917,411,399,362,482,153,128,923,
029,926,015,350,429,177,846,661,292,935,717,921,880,256,383,885,844,039,935,
212,802,795,775,435,645,196,220,850,751,139,527,256,283,475,749,903,201,828,
008,787,288,395,290,887,357,811,454,326,607,614,760,338,797,334,501,344,439,
767,988,655,306,926,841,031,965,945,986,226,330,463,767,537,959,881,243,492,
207,919,115,014,937,972,903,304,729,588,491,558,308,504,579,815,946,150,941,
756,605,683,017,464,517,261,022,343,684,557,225,438,238,313,907,951,057,688,
265,608,540,544,453,032,104,803,723,851,663,621,141,331,432,668,788,142,997,
662,314,117,209,187,796,916,755,729,952,011,125,621,336,340,211,534,780,826,
172,595,833,562,978,711,134,496,868,374,847,646,747,748,303,788,226,306,536,
476,256,182,761,388,983,255,694,199,368,384,836,301,824,891,699,198,604,715,
944,170,211,205,110,159,028,749,012,100,292,576,114,042,724,681,627,055,669,
993,079,869,114,551,671,513,219,363,306,752,935,913,103,687,196,708,574,971,
071,782,327,890,097,695,120,948,887,067,955,452,799,916,552,681,953,572,309,
987,211,424,718,942,023,779,042,756,938,169,945,683,622,351,596,948,320,420,
438,905,336,519,389,962,571,387,066,054,094,644,986,171,609,280,392,255,815,
780,236,245,353,100,750,036,143,108,907,836,996,062,192,764,714,871,323,757,
623,965,464,928,146,645,980,588,690,935,721,652,204,000,212,723,519,625,158,
601,029,210,519,089,038,286,436,306,432,553,829,875,090,142,397,596,203,977,
660,971,010,591,443,306,076,391,274,292,090,044,670,942,511,529,000,014,038,
430,701,230,258,511,566,285,188,161,044,750,485,875,263,369,682,195,251,752,
565,900,897,789,427,290,466,849,535,927,646,705,915,062,133,178,228,978,173,
212,925,549,630,552,870,008,518,848,862,472,398,166,161,079,066,619,421,968,
716,174,873,548,566,971,533,334,103,766,228,604,382,336,660,500,658,649,640,
145,426,134,919,677,126,679,027,171,790,443,399,387,832,731,394,146,756,262,
498,313,695,646,669,232,280,993,535,731,985,346,122,231,755,479,471,378,793,
912,150,052,003,270,486,750,270,356,776,457,796,764,312,127,007,416,716,927,
068,981,067,022,607,518,525,705,821,493,967,802,287,704,955,057,733,215,509,
421,770,288,655,447,129,679,315,457,365,614,019,338,966,125,589,685,971,402,
931,654,676,696,879,792,202,275,482,054,627,007,762,672,004,791,894,503,576,
009,992,387,295,929,644,611,951,665,734,661,666,336,496,822,052,383,564,268,
124,638,892,751,721,138,026,996,340,117,074,605,301,687,692,221,933,577,062,
984,923,111,493,565,573,598,885,558,322,388,128,239,217,682,686,548,356,567,
116,474,778,310,026,914,960,524,468,028,445,323,818,863,922,730,859,419,908,
186,632,290,005,172,756,031,521,087,192,666,642,484,418,146,133,090,326,355,
263,063,119,885,195,460,719,565,878,948,162,953,293,334,736,955,037,105,839,
731,782,625,021,662,005,979,566,189,782,999,792,067,939,586,981,232,220,920,
100,933,664,723,519,827,785,631,816,374,758,854,746,362,523,503,927,177,679,
988,715,356,427,125,235,503,690,514,156,028,150,647,358,893,060,528,239,268,
625,219,682,279,541,979,002,326,060,950,777,522,429,543,579,190,316,114,455,
920,123,792,275,740,704,500,011,480,790,819,661,310,446,849,116,723,012,781,
969,894,861,320,884,761,400,674,042,165,912,068,299,097,958,233,072,905,984,
901,756,131,515,970,819,518,381,285,917,140,644,933,702,726,068,573,233,888,
117,711,999,750,369,812,807,547,415,302,508,574,475,515,522,761,986,210,304,
916,580,377,823,337,685,063,639,728,020,678,992,057,049,799,473,705,425,694,
712,346,133,369,090,896,804,721,734,346,838,820,586,256,384,229,998,330,649,
473,121,800,240,992,813,959,205,588,661,802,934,411,462,104,728,066,993,405,
581,757,616,330,002,622,106,536,311,458,853,340,215,156,108,131,528,025,495,
826,133,243,742,017,968,364,066,573,185,524,998,320,454,539,474,094,775,864,
099,807,599,973,899,380,563,834,282,177,983,011,950,388,699,910,289,340,980,
220,823,970,725,796,802,881,209,336,353,938,628,746,582,906,773,590,967,357,
950,968,333,926,030,556,287,627,309,683,788,521,022,678,617,804,679,738,272,
756,676,748,641,633,519,081,304,824,790,852,043,543,806,678,490,747,513,555,
904,490,204,717,225,593,406,480,896,500,982,499,994,197,069,442,666,912,221,
332,241,963,008,058,373,853,575,852,710,334,421,906,128,176,926,442,786,157,
803,038,363,355,130,308,978,809,907,210,850,861,051,512,627,714,239,199,455,
778,311,531,933,250,667,483,312,032,013,006,236,144,704,615,163,170,262,930,
761,376,202,607,340,014,062,249,110,330,488,399,997,166,306,516,525,703,859,
286,395,541,535,368,472,525,473,583,389,407,662,808,090,241,704,763,274,070,
988,797,508,188,999,083,564,877,946,759,801,000,689,092,222,796,578,629,186,
237,600,439,374,111,723,871,458,435,534,708,275,862,141,743,002,552,431,503,
885,233,442,061,440,714,122,141,998,821,975,916,656,883,689,302,288,392,918,
137,306,390,614,675,141,910,124,017,545,982,248,763,648,210,375,757,853,015,
625,301,081,581,175,030,123,580,308,295,613,425,311,985,693,239,285,221,730,
053,091,970,651,529,066,767,807,839,669,652,025,653,326,556,286,154,044,497,
993,728,829,623,873,862,576,669,570,251,076,171,309,311,532,631,094,962,731,
000,183,713,445,900,839,197,276,315,669,460,064,083,712,744,306,404,412,063,
511,816,167,820,266,584,669,982,507,334,783,313,133,550,363,958,883,736,625,
624,937,539,019,978,183,845,546,899,547,747,243,713,387,282,875,704,794,948,
149,177,457,468,471,035,261,796,734,686,146,716,220,428,345,178,724,278,267,
623,159,072,761,902,308,104,845,770,705,026,700,814,351,348,899,489,416,680,
085,043,869,368,460,542,167,110,813,269,929,467,977,820,503,865,489,562,113,
496,889,036,786,773,497,485,547,717,700,486,786,567,005,442,239,147,446,221,
061,521,584,771,649,117,629,973,088,329,034,725,521,780,000,708,080,812,537,
468,728,455,150,549,588,315,658,655,446,470,393,322,723,032,915,707,982,744,
848,294,823,171,902,400,044,560,413,547,459,216,964,288,488,546,624,190,059,
575,319,484,661,001,890,888,099,540,940,174,834,300,464,514,312,550,513,950,
325,582,956,962,654,491,024,503,005,679,502,756,961,415,954,133,475,887,063,
234,432,654,473,217,416,268,954,924,483,976,994,883,378,213,504,830,917,003,
476,893,474,062,532,899,309,160,153,192,699,123,635,366,611,710,841,378,520,
008,383,105,638,577,621,662,455,937,470,983,818,711,865,051,778,887,472,771,
011,227,295,007,692,778,522,807,231,224,146,835,666,459,206,933,376,454,586,
800,495,597,580,500,352,786,832,779,030,171,632,429,299,162,951,343,511,383,
699,482,050,184,418,026,741,571,492,245,040,617,100,190,859,882,635,083,768,
910,258,726,260,275,946,570,371,118,417,955,741,612,140,980,746,708,046,107,
863,542,218,376,249,293,228,325,329,121,881,335,274,516,247,252,090,868,876,
878,590,288,365,506,405,147,253,138,317,666,374,422,530,163,708,161,071,268,
290,035,632,828,898,954,076,042,740,611,589,289,974,683,425,097,991,437,315,
730,252,365,724,350,301,184,096,049,357,295,878,450,952,898,154,734,298,991,
499,124,578,095,559,294,654,432,151,829,367,874,305,766,677,474,668,254,364,
983,085,207,508,748,610,700,017,449,420,154,707,832,915,867,627,236,708,237,
483,328,261,052,576,823,224,163,321,504,687,084,659,517,730,220,729,620,801,
467,246,695,491,368,075,221,462,255,371,280,132,076,098,570,489,022,470,484,
681,929,154,043,285,078,246,986,574,611,036,629,367,749,143,367,201,280,514,
715,030,813,860,422,104,004,266,311,474,788,390,279,318,204,967,848,312,914,
406,324,638,412,024,263,561,284,700,154,138,387,968,319,310,157,096,081,745,
434,568,765,315,174,510,106,094,422,606,313,403,672,108,704,413,952,369,248,
041,492,119,330,540,442,522,230,452,381,375,083,530,397,586,295,610,404,604,
713,264,412,338,953,096,682,685,247,634,599,424,120,928,068,618,539,009,629,
870,594,535,996,929,268,875,190,603,096,032,192,293,898,954,771,088,507,485,
735,132,494,349,005,674,999,024,105,512,212,793,190,995,642,923,938,256,689,
986,618,217,100,553,160,076,935,209,958,781,337,947,106,832,051,223,785,947,
473,986,398,140,203,332,396,641,749,835,848,627,590,924,035,555,369,321,421,
588,061,165,496,285,740,465,830,390,218,432,600,974,914,755,607,168,430,741,
415,228,301,532,656,262,379,825,921,945,704,713,395,144,082,066,094,835,536,
688,793,432,499,802,931,271,869,535,450,659,732,708,947,447,954,891,783,823,
143,224,846,148,631,705,226,671,157,166,617,473,947,137,783,274,089,850,745,
319,004,427,438,213,857,686,535,994,473,527,646,507,563,477,624,982,617,969,
513,918,508,454,301,174,941,566,406,651,424,549,948,261,567,949,990,540,209,
824,727,339,686,873,861,388,490,301,027,344,098,077,004,812,459,622,642,163,
212,214,163,200,652,890,144,973,435,449,729,984,316,444,123,859,395,975,521,
315,461,110,468,702,846,223,882,137,004,623,668,325,707,485,105,595,590,354,
581,487,010,249,485,260,761,644,177,385,593,263,813,720,006,527,851,069,937,
249,007,775,308,376,620,631,002,981,760,415,995,280,720,312,079,424,153,484,
071,087,799,530,236,502,965,031,367,686,723,523,157,721,157,504,646,548,735,
662,838,649,514,402,506,343,220,784,396,115,951,827,767,491,728,747,596,645,
219,316,316,060,768,790,953,869,455,687,947,368,931,937,583,205,478,015,726,
169,785,405,307,858,880,272,503,275,514,954,820,537,720,967,708,779,670,601,
593,598,369,754,441,524,798,572,796,587,509,541,505,102,470,035,433,540,092,
797,913,860,792,879,812,669,682,883,482,769,629,855,777,416,070,133,421,823,
750,599,434,568,758,611,716,535,127,653,169,372,059,912,330,206,556,459,389,
544,841,038,682,064,213,156,989,307,027,831,950,846,932,993,406,087,049,362,
811,449,598,639,708,467,333,492,646,846,853,790,039,879,461,358,872,027,306,
259,382,412,624,602,966,739,134,237,590,478,923,833,590,223,338,671,526,958,
367,041,881,174,266,721,070,383,657,828,500,031,094,446,791,335,462,851,972,
805,344,623,202,008,286,868,808,063,233,610,132,301,365,937,888,816,092,993,
595,029,821,751,269,513,258,794,856,174,550,392,184,325,222,803,554,902,313,
684,031,853,268,119,654,129,931,339,797,848,774,620,949,567,640,718,452,359,
460,962,496,773,483,162,272,401,167,731,708,171,704,437,858,753,433,713,235,
439,761,442,133,945,854,404,862,161,352,145,359,936,439,842,214,612,644,925,
136,675,457,740,704,954,076,811,439,625,245,801,097,241,553,345,570,855,078,
797,761,237,899,386,709,814,485,731,752,556,864,909,080,430,665,620,443,153,
634,261,052,219,279,472,896,447,996,699,774,100,054,983,557,153,645,144,063,
832,440,644,973,232,416,769,134,608,081,613,247,904,597,623,278,532,717,996,
053,533,984,885,904,453,049,496,050,837,411,725,691,421,614,628,633,844,704,
156,112,882,111,783,508,720,954,112,490,674,596,941,088,206,279,962,602,469,
570,619,444,821,623,372,119,738,689,431,603,225,125,307,918,156,274,921,330,
374,012,368,834,042,963,141,941,554,889,368,466,232,638,576,932,785,807,693,
772,717,618,571,426,213,977,796,232,386,475,655,206,387,595,262,651,853,957,
562,227,468,433,458,739,505,893,876,156,171,712,635,186,235,032,301,324,675,
700,552,796,772,038,939,800,719,611,141,887,262,689,257,079,565,235,984,982,
899,865,822,188,268,357,665,324,744,508,739,805,452,514,658,430,129,800,439,
900,340,338,878,012,672,062,155,335,782,573,568,353,471,924,155,509,430,553,
160,523,752,450,049,602,846,067,913,906,340,315,276,608,017,922,441,341,268,
899,562,552,898,009,812,970,133,702,894,944,308,419,922,758,625,811,962,720,
140,855,539,235,170,925,103,382,904,246,122,963,374,453,683,401,816,540,013,
435,432,919,554,096,083,269,047,235,933,081,025,283,241,999,213,482,619,648,
821,158,945,179,792,390,503,273,533,349,351,866,196,235,357,899,528,522,401,
418,374,285,043,534,175,159,695,330,512,350,797,179,463,688,465,643,237,758,
412,658,658,335,829,464,532,505,657,323,372,292,019,986,896,104,579,357,989,
924,163,243,080,693,033,862,368,980,284,136,085,455,809,432,447,776,836,052,
338,411,997,387,500,324,598,329,487,525,846,182,207,649,826,492,593,593,030,
531,627,585,482,046,931,455,778,000,472,487,451,135,728,344,171,626,505,204,
977,535,667,686,820,230,313,689,199,207,964,530,341,863,710,211,490,376,826,
959,857,355,782,202,767,984,315,907,691,641,356,082,015,508,275,783,555,465,
430,615,878,156,619,079,112,870,008,740,099,448,422,516,440,910,314,877,492,
126,865,599,212,302,318,045,533,062,835,045,058,571,160,296,834,287,697,715,
776,878,303,799,093,097,699,590,283,914,842,542,101,817,643,167,261,069,049,
273,119,449,884,362,142,767,196,205,287,142,358,763,439,399,583,189,697,833,
789,892,223,738,878,109,477,042,362,013,116,384,933,141,224,861,617,087,392,
043,338,810,358,723,353,250,859,659,932,331,662,453,804,897,307,939,527,912,
894,134,048,054,005,820,883,979,535,615,539,541,260,217,176,032,640,549,612,
183,507,709,760,615,558,340,062,475,036,000,819,554,831,658,290,346,354,627,
628,237,695,321,436,409,906,456,478,827,387,241,212,157,470,562,863,378,609,
767,154,190,434,437,018,353,538,662,718,900,749,891,972,537,575,115,972,886,
029,578,702,811,544,286,970,049,468,198,034,956,604,749,989,784,551,339,898,
757,182,632,914,220,247,618,994,393,532,868,272,274,376,376,647,845,282,304,
249,788,323,117,319,349,095,401,137,533,164,176,612,014,196,341,825,899,234,
925,079,603,796,037,608,405,512,078,006,508,190,024,230,889,458,406,943,295,
287,376,075,393,254,989,379,080,929,124,268,482,423,534,554,131,809,725,867,
305,208,965,476,680,416,183,724,120,685,867,197,431,363,007,234,100,746,977,
459,211,285,834,710,812,878,653,923,096,767,388,836,507,301,814,401,571,000,
555,244,611,936,529,114,980,500,953,363,442,294,819,915,519,731,612,498,112,
839,960,633,676,924,569,516,640,209,204,550,862,764,930,885,907,859,286,493,
306,546,391,618,020,700,328,455,353,614,708,753,395,656,690,390,190,908,757,
757,385,563,519,387,018,675,506,569,508,093,613,506,189,899,250,780,825,948,
988,946,300,113,219,574,100,687,398,026,009,297,657,211,332,831,712,302,770,
189,160,373,996,460,955,360,966,883,662,291,173,832,655,311,908,628,715,971,
381,928,569,423,101,612,301,097,788,643,251,786,151,615,313,039,229,637,831,
309,700,278,238,155,679,252,086,883,365,467,724,365,330,436,441,042,171,987,
997,939,927,076,773,054,112,770,818,919,228,394,356,105,798,045,425,158,030,
922,941,030,040,293,199,037,008,000,881,531,121,959,572,723,114,392,879,611,
245,827,839,341,739,500,644,497,522,598,449,573,049,697,372,182,172,575,023,
560,138,042,256,901,241,358,696,582,259,178,088,745,330,659,749,172,926,157,
510,593,339,985,983,053,823,270,786,370,271,327,984,339,423,241,312,556,667,
319,560,382,026,690,264,987,047,337,138,916,323,442,582,783,449,754,546,315,
372,135,145,659,568,872,715,034,221,169,665,747,799,153,648,505,193,629,529,
191,895,816,134,408,002,059,096,302,281,626,619,690,599,477,468,484,113,895,
760,774,954,019,956,451,247,062,464,284,522,352,172,084,210,351,341,618,694,
147,331,524,910,007,065,210,613,888,276,979,395,392,926,583,764,683,248,713,
482,250,653,249,688,786,243,969,303,089,503,969,047,788,469,231,684,429,640,
108,760,701,342,994,469,899,141,973,602,482,251,028,302,290,255,029,763,835,
685,872,358,785,571,141,152,266,548,386,518,470,034,465,784,237,827,969,151,
446,740,114,537,525,683,055,002,658,603,280,096,846,592,036,254,580,692,944,
801,326,114,190,568,427,521,373,843,480,607,572,597,351,565,989,497,740,345,
383,527,785,660,498,506,832,931,694,558,845,115,818,982,942,611,056,957,918,
330,900,417,822,239,465,774,618,373,907,360,804,220,268,244,536,145,666,743,
435,670,832,261,987,977,947,501,078,383,420,451,025,775,943,448,091,094,658,
251,883,246,282,184,534,352,905,191,100,381,246,865,592,141,479,952,682,857,
269,879,419,516,942,275,740,049,928,066,995,479,872,715,503,409,267,095,369,
229,095,326,710,706,463,180,440,334,579,729,228,119,995,741,602,926,210,843,
462,835,070,283,702,499,768,621,260,618,834,175,152,613,866,029,377,804,513,
862,342,923,154,860,567,874,648,039,100,765,244,441,896,373,209,010,606,790,
916,161,477,417,139,490,304,713,972,546,283,350,727,297,737,692,970,097,803,
017,101,679,531,983,026,878,974,582,085,528,685,715,611,279,814,896,930,042,
554,453,204,834,420,325,218,249,466,248,559,588,129,009,031,591,687,436,431,
333,734,510,561,182,384,878,338,278,216,081,827,635,208,676,664,157,592,491,
670,800,305,705,805,044,898,735,959,875,911,804,484,184,815,792,887,157,719,
083,824,643,345,997,129,504,736,441,496,572,614,160,987,828,825,201,766,908,
737,474,811,738,026,977,899,735,262,086,527,788,063,676,911,802,013,129,680,
188,251,955,451,645,149,897,200,444,860,847,265,846,812,334,453,341,361,625,
971,687,898,225,693,660,950,647,257,542,595,581,513,953,136,541,569,886,303,
682,173,726,310,496,965,017,930,735,644,661,512,839,358,354,496,434,692,157,
375,185,595,687,444,602,361,478,948,379,542,721,134,789,579,150,671,652,459,
522,342,825,477,522,367,588,831,770,138,887,918,562,313,372,550,770,447,507,
673,088,697,724,224,935,964,162,578,121,772,293,132,165,138,195,109,489,226,
538,011,226,130,713,874,509,564,444,752,174,055,273,178,285,871,826,950,948,
644,324,107,215,782,222,205,424,648,659,844,176,353,842,279,416,377,816,954,
101,217,752,797,118,999,915,443,220,412,436,220,414,974,804,376,601,869,892,
418,710,505,644,514,238,155,237,727,429,137,212,134,398,110,998,486,618,634,
768,033,280,014,178,598,314,396,530,876,843,434,141,296,704,480,155,879,429,
939,529,635,900,981,066,125,940,637,064,148,269,194,598,570,057,581,222,060,
088,154,994,575,542,123,510,640,331,478,883,157,419,870,826,756,316,818,373,
405,647,247,038,848,628,840,520,569,906,338,807,750,576,611,065,093,978,925,
094,015,874,070,126,230,376,909,032,624,947,142,800,781,393,669,641,960,113,
053,946,711,938,004,730,837,675,469,016,759,239,459,869,841,020,357,221,317,
133,457,055,890,367,283,413,394,354,209,100,347,802,365,205,864,525,139,737,
859,893,119,622,134,496,131,563,008,884,757,147,288,776,724,613,274,454,913,
588,812,667,055,205,554,365,908,230,885,021,722,245,658,307,959,564,485,107,
668,958,590,838,303,202,805,920,305,418,588,612,501,479,277,534,813,381,244,
813,774,921,189,997,674,193,386,099,113,194,058,622,715,123,128,204,175,633,
166,471,992,141,039,362,755,808,065,092,943,332,513,000,246,704,989,288,923,
093,590,883,800,282,165,071,627,834,007,291,177,538,460,802,461,530,489,176,
728,120,648,106,376,941,703,446,024,704,152,852,283,865,111,341,223,838,128,
044,911,717,396,967,818,065,123,939,702,937,461,278,514,996,073,027,773,554,
338,615,780,359,747,869,052,674,263,724,705,049,389,653,856,314,224,025,775,
329,849,897,486,579,743,058,660,280,207,803,582,497,078,003,632,388,425,389,
202,425,009,049,240,428,142,027,463,156,670,802,576,860,023,208,033,819,602,
029,673,340,457,469,131,004,784,995,692,672,738,737,383,600,530,488,729,625,
558,054,406,655,698,055,260,530,038,389,518,643,141,352,536,987,251,395,449,
977,301,459,928,776,852,332,235,465,205,610,742,235,013,147,259,837,923,544,
527,716,352,995,427,029,838,131,075,808,992,889,361,917,903,154,994,872,196,
837,816,416,566,687,961,784,929,493,284,243,053,317,323,014,982,696,939,519,
496,270,178,846,653,874,829,191,104,088,567,018,148,913,246,840,527,608,609,
644,751,730,121,888,638,025,558,199,876,011,555,965,366,576,686,790,158,570,
793,686,634,017,491,331,909,265,160,481,047,082,773,288,962,839,180,794,052,
159,910,920,787,325,471,636,962,014,427,279,450,473,848,473,345,106,576,719,
935,294,834,774,870,143,586,149,851,349,704,967,522,612,738,622,123,104,664,
731,701,693,350,093,858,408,920,103,858,602,427,693,192,389,790,884,179,033,
584,809,627,185,014,086,851,647,715,318,026,522,960,923,980,375,672,306,676,
098,848,220,602,333,721,688,188,516,625,083,742,755,375,946,778,434,418,481,
418,659,366,090,072,121,202,097,698,684,754,392,636,507,957,031,261,852,332,
120,156,242,999,970,933,103,781,176,158,911,211,156,684,896,958,442,965,069,
935,484,779,867,244,362,644,805,619,666,404,374,343,606,485,571,181,555,088,
657,887,337,041,701,423,688,993,350,687,696,908,807,030,061,181,981,208,245,
995,576,483,597,386,815,280,183,572,289,130,583,272,287,825,248,824,103,059,
867,254,992,370,458,388,656,114,567,632,305,698,453,841,427,405,647,753,196,
787,048,401,546,147,371,478,945,646,148,121,235,440,404,807,390,320,990,470,
058,080,893,331,277,779,212,331,202,456,464,109,618,188,405,382,004,366,910,
200,319,745,424,819,041,679,212,701,754,090,752,231,840,484,908,131,890,799,
932,342,585,740,655,739,451,227,848,717,022,368,199,574,275,636,629,482,934,
268,577,183,268,963,161,234,721,461,293,225,838,763,945,659,235,747,583,883,
182,558,284,983,750,402,691,862,277,481,739,434,685,317,653,524,829,628,118,
980,094,942,672,493,215,574,785,715,707,746,342,342,969,242,481,117,153,800,
786,435,553,257,894,876,066,896,021,579,378,312,100,037,250,038,157,385,976,
328,516,820,200,255,668,821,279,342,060,762,755,447,715,147,099,021,186,480,
377,904,222,509,570,541,096,773,361,253,498,701,593,391,770,409,211,440,327,
019,460,646,266,593,839,732,537,732,189,419,394,052,355,080,609,614,862,640,
149,855,044,593,901,909,333,617,374,206,759,617,056,072,485,605,448,079,686,
210,169,379,365,111,919,188,104,093,795,532,048,485,952,033,041,918,827,231,
418,040,029,514,684,628,412,482,750,219,174,736,580,355,258,050,591,357,553,
444,060,826,039,894,918,115,590,231,899,793,602,520,014,273,641,399,481,130,
251,235,089,389,892,253,873,601,970,749,286,514,432,622,369,562,878,539,192,
491,515,424,130,581,394,327,319,754,031,022,882,822,402,486,948,550,830,578,
449,704,786,661,080,223,835,037,567,397,429,761,234,058,401,237,538,341,966,
835,218,981,977,087,308,578,021,057,248,883,205,031,854,669,169,459,392,937,
319,351,557,608,769,517,567,740,936,459,055,025,002,480,878,669,127,907,008,
272,721,279,225,712,782,132,953,669,671,164,314,665,202,133,287,137,607,055,
373,657,524,768,752,456,159,220,528,803,889,474,366,991,991,295,498,405,049,
954,870,629,688,280,942,289,439,071,960,063,902,023,735,079,894,353,922,796,
784,486,349,529,252,994,552,811,068,957,186,092,470,651,401,004,491,092,947,
879,753,203,275,323,960,622,604,827,868,656,032,067,573,604,049,692,782,474,
985,715,905,786,381,464,029,595,464,091,436,935,203,747,605,635,192,085,724,
939,850,460,720,141,801,080,991,090,489,950,064,807,712,132,668,524,601,983,
141,749,386,971,100,872,451,025,401,316,296,986,632,931,333,833,641,588,515,
962,931,857,428,233,757,000,646,588,935,173,192,441,055,552,394,456,342,883,
665,237,072,266,918,254,223,841,889,593,927,020,860,235,656,609,017,160,214,
213,841,749,472,817,641,408,914,207,423,367,840,633,624,198,976,871,085,938,
708,641,204,065,885,453,826,839,232,279,305,092,984,845,922,500,871,783,450,
051,929,285,178,847,493,226,017,947,743,107,223,217,087,152,978,266,479,935,
406,725,375,175,041,024,626,297,385,942,304,650,012,712,000,208,058,893,668,
546,181,894,349,444,708,400,099,279,145,267,540,335,942,206,358,858,570,057,
612,811,443,980,994,092,695,447,029,920,791,071,134,366,027,100,355,804,533,
121,375,433,273,805,551,424,128,342,762,525,856,112,391,056,564,594,022,608,
978,890,895,205,384,372,259,054,511,467,422,294,396,040,925,181,051,715,115,
777,441,632,326,447,358,956,712,042,892,779,049,373,426,899,226,748,110,333,
894,589,221,485,720,192,462,082,428,676,652,053,610,413,383,803,361,527,437,
958,803,419,060,137,796,147,558,440,926,127,940,420,198,773,342,767,109,022,
868,286,112,907,372,332,066,048,177,673,037,363,629,489,616,355,507,940,667,
417,126,310,190,081,972,659,803,148,856,674,452,769,344,081,412,441,922,135,
111,037,138,881,590,269,311,792,211,672,891,044,263,960,121,763,075,045,803,
463,870,402,211,650,139,207,488,362,478,231,646,220,619,823,927,148,294,040,
317,017,393,062,562,918,119,404,793,770,936,377,846,165,214,124,695,236,944,
505,596,952,659,911,129,688,595,568,805,028,234,714,504,802,855,321,043,569,
283,907,855,720,782,041,951,662,056,610,152,824,628,854,772,325,151,360,646,
847,862,969,843,884,849,245,484,758,615,230,843,676,110,903,246,793,348,321,
768,704,126,137,217,828,034,580,088,666,673,210,688,728,760,135,823,693,093,
346,060,820,655,178,759,183,454,794,654,342,931,372,964,768,193,318,042,587,
534,290,885,978,888,422,705,003,704,423,250,164,267,495,761,193,450,202,095,
509,725,102,807,878,310,878,463,705,977,675,516,801,542,818,313,490,998,324,
602,150,746,733,532,293,116,798,835,560,370,468,043,861,084,651,704,595,467,
049,008,391,782,800,920,488,493,793,924,070,811,384,981,208,039,628,671,892,
883,979,908,995,102,459,336,192,584,661,147,446,092,824,552,156,964,787,707,
248,541,847,247,179,332,259,739,844,591,278,979,001,591,852,621,776,702,895,
153,168,834,729,156,979,120,117,961,029,017,331,053,567,943,528,419,582,788,
904,779,892,618,272,887,391,674,608,792,769,710,801,686,725,169,717,219,752,
437,278,794,373,810,102,745,831,636,934,610,613,986,045,351,119,686,081,022,
008,945,447,259,271,676,916,590,165,222,121,845,191,775,242,989,811,150,523,
103,277,723,659,243,561,932,373,707,485,674,742,785,187,153,313,166,180,186,
501,999,873,728,389,164,481,918,994,927,813,436,938,914,967,078,254,174,803,
373,209,754,060,643,737,017,035,361,280,523,551,349,221,468,537,726,677,091,
698,052,954,333,498,308,720,666,352,567,090,620,654,001,176,940,509,049,710,
201,095,253,428,785,258,064,199,921,953,309,538,854,490,910,838,447,759,729,
095,332,942,894,309,141,850,534,117,609,415,115,911,206,834,535,164,629,120,
697,166,504,976,749,179,211,906,610,018,754,318,911,079,988,579,997,476,638,
221,215,810,331,241,051,376,895,077,073,533,469,053,358,513,498,856,138,431,
744,569,100,524,846,960,279,337,969,896,783,420,619,244,357,482,053,741,356,
929,511,343,990,412,200,746,041,901,508,377,698,307,897,224,636,466,691,061,
560,509,897,612,012,300,753,947,565,844,595,404,425,704,921,310,348,924,375,
314,422,453,614,191,063,948,856,208,803,815,358,026,501,689,150,654,156,609,
194,463,624,851,893,926,716,283,278,176,228,351,727,698,190,208,063,922,736,
419,285,539,202,455,938,784,044,540,187,872,125,274,069,364,585,664,433,211,
853,181,848,704,348,995,467,271,690,957,183,167,120,825,838,661,486,760,803,
685,183,230,493,228,683,733,376,161,278,072,287,392,781,293,367,973,231,804,
709,095,179,424,977,099,751,625,632,308,621,914,373,028,314,575,697,417,673,
201,525,713,140,309,508,037,965,434,979,253,708,737,799,307,711,459,603,343,
990,611,662,993,677,680,384,913,577,568,223,544,805,722,763,602,902,568,101,
656,014,433,065,673,359,672,163,273,516,807,529,772,072,282,447,389,706,476,
745,422,660,938,770,217,323,278,376,673,087,562,685,843,579,754,928,884,438,
770,171,714,379,759,542,325,073,379,011,862,795,037,384,523,032,762,238,636,
788,177,182,910,337,093,469,284,526,697,260,830,165,095,829,109,239,967,882,
525,424,236,720,142,535,875,530,725,828,899,651,144,520,152,503,033,238,559,
190,845,521,977,350,899,352,686,471,724,691,017,168,431,609,448,375,378,678,
758,930,322,190,547,349,196,374,884,333,038,040,438,082,687,185,576,374,188,
739,578,826,898,334,925,934,190,454,058,595,248,458,999,065,367,645,153,393,
027,700,771,910,220,583,924,077,040,208,392,719,176,295,447,495,935,323,590,
337,590,206,190,416,836,275,933,261,677,389,310,521,561,303,593,567,157,933,
053,448,459,282,824,361,254,457,158,222,056,654,524,207,671,406,234,293,378,
991,063,336,216,823,338,841,086,755,389,818,419,304,765,236,440,661,061,953,
801,347,722,248,076,765,533,814,992,403,997,435,072,570,467,456,570,270,792,
083,459,631,105,032,088,457,488,995,061,274,278,453,398,914,198,980,875,280,
243,627,544,062,410,378,186,976,496,411,806,499,095,173,201,424,650,698,384,
368,047,941,857,236,593,520,386,366,043,922,709,830,732,264,270,458,092,953,
678,240,150,553,945,278,463,511,876,811,612,228,036,174,993,162,687,515,749,
331,115,624,519,069,372,177,196,424,938,107,312,677,677,588,808,386,090,404,
900,485,406,789,161,929,996,090,767,573,935,347,678,036,329,061,671,029,021,
261,253,890,458,874,388,533,436,023,693,575,364,390,408,244,861,185,523,243,
687,743,477,647,109,734,755,465,043,352,514,712,935,682,942,306,440,365,482,
869,795,346,466,891,890,969,750,072,398,489,732,208,753,988,901,728,081,714,
473,148,701,786,833,157,532,534,956,079,301,232,454,313,992,759,400,413,218,
359,708,488,104,373,315,999,610,143,004,056,634,960,179,529,102,957,861,326,
154,504,304,833,932,742,506,393,967,176,413,549,749,645,026,059,440,071,465,
861,343,742,302,565,247,407,654,431,790,079,107,735,083,542,607,897,603,592,
042,087,895,569,194,410,426,724,555,385,763,927,682,592,072,291,866,471,737,
978,193,591,257,351,172,038,295,552,854,482,971,888,828,928,286,024,374,148,
624,896,885,719,136,016,651,659,387,223,744,634,681,781,558,039,243,894,749,
115,704,524,373,997,965,705,920,403,006,693,102,140,284,850,419,462,977,163,
644,750,643,892,000,760,606,157,850,368,081,382,593,897,018,009,339,202,631,
833,008,936,802,731,330,044,833,208,924,888,627,140,077,168,655,379,527,804,
768,070,625,080,848,068,786,177,532,642,952,032,953,309,929,016,253,284,563,
543,582,448,408,463,611,752,400,296,398,353,200,156,275,674,420,462,816,094,
485,812,302,105,948,062,678,235,703,036,873,409,489,629,772,569,664,843,437,
184,114,035,833,095,848,596,630,835,859,805,578,772,133,754,656,778,026,618,
566,564,410,467,007,009,831,663,667,706,186,405,990,105,541,042,582,579,883,
427,078,394,366,289,553,632,930,484,346,969,538,811,003,017,347,666,628,825,
173,126,567,359,590,604,391,794,481,473,510,306,735,763,552,519,603,799,178,
470,427,238,686,324,694,440,195,106,661,416,488,234,831,716,353,147,136,637,
166,845,440,496,969,407,802,312,714,860,711,295,913,211,203,788,768,139,066,
524,183,806,755,232,206,875,767,710,645,425,013,714,049,351,907,269,256,490,
101,687,337,071,778,927,736,001,005,021,354,011,489,864,868,819,637,536,394,
626,748,661,496,049,879,289,149,094,888,852,729,926,600,966,599,177,614,836,
244,152,329,503,127,240,199,791,889,739,750,070,626,068,697,879,927,850,343,
530,126,712,145,126,470,214,820,983,903,442,165,186,138,710,267,467,807,682,
702,192,341,225,125,698,001,160,775,733,502,994,117,714,673,536,605,548,134,
982,973,404,349,881,263,186,881,269,220,647,847,662,334,590,682,580,091,562,
636,765,258,434,829,789,122,819,389,335,799,455,678,920,295,429,356,815,424,
922,607,544,873,428,028,353,753,518,702,076,905,839,128,753,313,196,078,147,
671,720,393,733,675,009,408,688,635,886,962,725,688,144,517,760,587,197,527,
823,080,826,439,672,811,625,309,913,797,675,328,474,471,562,480,887,423,268,
690,987,044,311,459,339,197,743,980,948,529,901,803,662,979,263,135,458,944,
089,589,263,627,097,100,744,155,296,143,700,056,046,605,009,320,713,376,706,
497,832,185,513,475,342,931,348,251,342,359,214,841,077,074,173,004,148,672,
597,660,615,257,075,096,382,881,740,212,443,881,959,252,047,250,502,702,419,
900,989,006,365,624,590,041,929,582,023,297,824,565,798,906,752,868,010,833,
476,952,162,701,479,795,165,447,002,170,917,917,402,639,926,337,327,659,899,
820,446,774,424,767,822,751,261,284,713,727,762,640,764,807,490,685,605,059,
156,719,921,953,810,475,688,599,368,808,279,199,817,476,490,942,205,026,748,
853,236,150,002,133,703,614,925,666,449,307,783,245,700,748,598,356,753,238,
830,378,214,800,437,027,230,079,748,233,698,962,047,258,971,151,057,134,316,
455,462,153,014,332,463,144,623,290,168,886,708,193,368,567,587,039,827,635,
072,223,519,561,534,667,937,942,381,161,066,741,324,276,859,561,363,509,279,
377,738,249,337,761,522,781,955,401,325,619,605,322,581,594,442,205,134,760,
303,379,822,562,570,131,116,617,014,178,829,164,621,742,911,769,735,194,396,
337,701,828,063,553,727,887,447,070,556,389,600,938,395,234,194,264,006,253,
089,083,223,543,007,753,689,489,935,250,010,674,686,837,307,403,855,204,841,
158,393,577,786,221,040,412,506,980,248,361,141,739,374,436,110,159,195,772,
464,897,090,044,547,340,453,673,232,317,353,113,995,826,539,542,680,192,044,
685,898,557,173,544,716,915,307,068,063,430,984,613,633,585,835,064,488,387,
406,923,052,474,103,909,320,872,307,906,239,709,277,353,989,862,011,422,901,
938,474,563,086,196,758,094,464,302,739,838,616,213,769,398,747,227,368,507,
271,615,902,838,271,814,663,413,591,711,265,028,781,498,577,668,884,414,794,
011,073,982,949,564,563,084,339,351,820,527,971,299,383,549,619,163,669,415,
831,878,993,936,393,012,859,723,202,471,065,655,466,453,707,362,781,391,516,
180,536,837,061,537,719,560,133,222,181,083,164,567,411,009,888,613,316,633,
648,053,389,729,246,524,339,203,831,893,350,381,685,342,285,991,535,175,203,
595,390,931,855,585,547,547,089,504,344,738,936,524,236,413,596,496,397,414,
180,786,034,523,941,042,170,987,076,547,199,915,465,900,208,725,642,201,210,
770,610,887,069,181,308,344,743,948,555,798,262,010,615,557,896,340,444,280,
862,334,682,605,732,590,928,315,240,658,981,796,909,085,492,121,353,522,152,
678,413,521,836,142,853,992,441,114,722,637,007,589,586,584,669,640,831,044,
077,474,979,941,591,823,112,632,981,757,811,715,311,958,959,898,666,317,651,
926,332,372,551,785,993,210,181,225,078,301,674,709,337,056,783,637,325,010,
552,015,255,954,070,314,520,844,685,199,851,631,259,945,764,471,786,685,764,
609,832,150,631,521,758,150,217,662,143,635,362,602,032,866,093,955,615,288,
962,125,299,737,830,522,142,626,078,314,394,824,623,850,709,730,683,744,549,
673,995,231,663,438,692,891,303,249,179,653,041,591,748,302,140,032,918,567,
877,612,492,318,718,538,220,725,066,125,830,667,857,678,280,694,676,832,662,
234,486,875,414,401,124,409,660,331,668,694,272,376,493,836,798,840,227,646,
290,227,374,731,938,380,541,599,382,321,331,997,160,056,123,884,052,404,922,
737,915,265,667,325,215,619,770,934,465,765,742,025,530,493,308,982,558,145,
582,195,699,445,965,120,902,311,982,857,198,713,655,050,026,031,439,363,731,
519,892,054,096,928,978,554,096,122,166,973,232,608,865,228,403,338,038,910,
361,441,344,623,264,472,760,990,987,073,891,881,482,673,101,248,867,866,744,
569,367,080,232,615,380,036,191,462,205,121,253,311,773,070,942,944,345,426,
762,233,085,512,850,461,808,197,810,751,504,503,958,009,231,746,759,489,417,
168,947,455,007,054,463,413,707,121,336,395,773,847,076,075,031,626,643,559,
981,139,058,377,550,083,790,541,410,454,827,945,724,568,939,570,148,595,216,
495,931,302,749,528,059,726,063,726,512,653,484,003,656,800,623,259,079,941,
585,903,479,609,380,705,516,980,855,490,748,002,754,685,735,891,604,165,490,
789,672,792,776,222,692,707,778,929,779,065,324,781,978,686,975,016,933,187,
391,249,122,067,813,015,689,921,347,872,087,186,538,181,623,990,358,017,280,
174,803,479,725,731,119,125,955,132,315,546,528,526,998,013,927,616,657,817,
911,435,529,679,483,015,982,950,149,313,913,059,344,560,540,487,400,587,318,
894,041,161,517,601,447,758,418,743,047,772,749,676,810,020,709,853,212,220,
774,222,592,195,639,769,209,020,664,059,349,087,683,327,245,651,287,520,014,
165,940,506,706,203,832,891,900,118,989,147,527,213,101,136,254,309,949,457,
819,366,863,008,828,117,656,600,875,591,841,489,053,886,101,586,918,462,694,
352,063,652,836,704,747,969,077,477,068,863,620,621,520,233,393,231,693,994,
671,241,196,377,222,232,994,986,330,179,074,208,836,664,890,765,032,704,407,
806,826,351,377,472,861,787,909,268,486,079,211,435,043,070,336,015,385,857,
033,693,097,937,600,551,614,966,323,186,036,777,983,625,035,690,977,437,217,
596,118,059,300,691,708,666,621,711,685,868,345,949,212,722,922,736,422,237,
736,330,247,499,022,871,090,861,586,819,047,440,085,654,392,837,435,228,081,
455,973,913,046,957,202,388,204,608,898,714,759,940,700,811,299,848,695,570,
417,211,298,504,387,781,447,168,124,686,393,467,087,442,052,982,216,681,826,
066,450,407,433,831,004,052,843,618,128,225,853,869,421,729,196,727,703,885,
640,279,559,704,956,848,252,967,319,315,115,182,574,056,290,873,294,564,043,
921,566,079,160,920,201,897,105,979,088,794,398,940,372,594,403,326,299,309,
951,374,960,078,865,725,264,173,510,881,252,563,505,417,307,756,778,920,635,
216,220,064,947,179,664,760,201,615,164,874,992,464,843,470,332,132,359,415,
425,730,839,114,788,820,569,410,797,293,712,450,623,717,008,827,354,742,530,
552,430,502,831,394,028,855,904,944,842,739,329,008,518,724,975,834,340,203,
157,329,347,446,716,529,611,453,313,002,776,440,774,760,593,234,269,631,971,
000,169,112,669,996,980,419,919,779,865,999,341,765,841,452,438,939,689,465,
685,403,596,383,494,691,869,827,715,838,185,031,012,162,020,228,832,873,008,
071,300,235,998,740,012,466,761,458,452,101,747,472,441,032,633,516,483,394,
340,982,076,429,098,082,465,118,187,192,575,935,870,908,212,756,939,054,732,
597,549,856,377,750,959,616,924,958,684,175,263,875,816,258,754,737,234,668,
482,928,697,653,982,321,028,941,756,726,334,244,089,265,245,861,272,435,926,
089,943,527,849,072,804,064,151,381,885,859,486,303,319,450,225,060,227,667,
573,492,799,242,266,827,963,130,434,307,565,973,076,790,264,336,887,977,618,
384,420,618,344,883,195,919,744,510,482,924,702,035,353,532,495,653,077,385,
209,346,659,078,223,205,560,882,286,992,016,180,540,263,702,426,643,678,289,
970,786,699,903,019,378,689,340,241,320,208,377,141,576,573,920,884,518,779,
771,598,686,124,513,484,396,509,651,621,739,437,202,669,142,211,900,371,059,
450,606,936,962,015,802,613,471,859,730,875,139,060,641,073,703,181,734,837,
618,586,505,241,488,744,683,539,739,180,854,691,843,853,586,323,981,013,630,
672,151,376,147,050,016,969,282,255,290,208,722,928,080,960,118,042,839,466,
094,266,257,131,471,050,347,088,560,984,071,590,164,720,290,701,474,869,906,
768,828,920,685,516,187,813,288,785,221,427,298,265,346,631,667,787,754,612,
423,773,401,561,243,637,584,055,255,096,102,446,328,005,096,189,702,410,476,
172,011,775,801,767,580,696,115,576,168,887,296,910,790,998,451,011,976,181,
951,058,938,986,367,390,078,351,148,195,563,037,703,960,151,732,195,767,255,
049,142,132,055,312,146,840,336,505,690,803,218,773,729,393,026,469,098,525,
351,331,699,781,321,854,836,062,019,467,849,504,731,005,497,501,818,966,613,
465,224,228,257,315,425,562,847,655,456,820,470,868,474,726,800,939,441,843,
075,894,284,154,972,818,920,844,804,632,139,669,533,690,430,980,171,984,787,
688,793,107,185,428,476,502,348,173,315,588,969,186,002,913,781,746,084,795,
127,954,820,569,840,727,157,996,930,938,366,214,967,640,237,531,453,098,544,
430,893,647,866,362,099,343,227,616,959,813,135,604,830,795,833,067,361,123,
651,106,213,302,283,587,909,066,243,058,860,942,797,902,370,394,379,856,868,
892,525,984,054,054,418,798,538,551,715,780,709,866,278,181,939,335,641,549,
020,933,965,594,630,337,134,052,605,050,501,113,593,129,577,194,752,231,039,
980,552,811,177,288,339,155,852,956,589,639,551,325,659,717,287,702,995,794,
603,517,302,101,036,812,724,041,654,765,473,543,911,207,009,217,157,804,698,
250,755,937,375,445,131,261,646,249,341,602,889,853,386,188,125,560,607,854,
224,740,871,413,400,694,750,096,100,347,915,396,381,133,990,228,891,622,837,
275,145,302,814,131,872,533,446,324,471,336,773,414,196,048,653,531,059,592,
924,640,095,224,305,648,439,690,479,367,687,617,458,243,905,646,684,442,039,
259,244,177,450,125,654,161,603,941,700,686,687,861,010,159,228,922,337,925,
402,004,410,307,869,414,228,425,096,730,606,605,906,824,454,664,280,559,890,
391,030,687,859,865,176,008,473,109,987,870,187,352,519,005,048,788,142,181,
555,556,682,640,499,165,635,181,278,934,731,085,597,150,025,885,457,661,013,
238,786,678,247,405,145,582,714,846,970,709,861,033,903,646,183,585,625,623,
046,042,834,261,005,195,579,003,532,649,872,733,458,074,869,673,095,220,811,
058,958,623,016,273,903,589,200,136,558,811,024,638,607,689,401,768,525,671,
565,751,297,028,433,969,934,710,713,956,596,188,278,216,054,031,614,720,412,
714,749,202,578,840,775,162,590,520,542,046,214,988,557,612,586,319,364,238,
190,777,045,862,776,809,489,578,818,890,620,693,425,396,694,110,318,302,492,
654,628,192,535,688,356,420,171,593,065,546,231,485,942,905,833,850,552,297,
886,750,568,588,920,214,878,904,812,244,753,561,574,609,760,529,902,997,963,
651,894,687,696,187,672,131,740,726,534,474,312,393,286,248,293,828,626,719,
518,984,478,991,286,578,988,879,972,636,205,249,256,501,814,076,465,235,750,
072,400,644,844,640,807,376,268,899,326,263,232,345,079,098,928,957,939,046,
999,359,273,074,983,400,009,602,421,297,616,911,362,736,521,810,138,106,632,
144,842,040,229,191,519,369,128,929,268,351,470,399,731,553,115,665,496,612,
798,820,017,960,909,915,514,309,834,403,231,328,171,239,617,819,523,685,316,
487,969,144,921,304,995,888,074,174,134,824,921,464,430,699,019,138,533,457,
874,761,251,595,289,429,682,407,350,863,640,835,167,382,738,992,088,472,860,
270,183,399,433,048,215,808,263,236,282,407,070,085,221,834,001,929,909,637,
398,149,505,253,624,557,553,873,101,143,421,225,434,154,520,850,603,464,768,
835,973,474,384,472,939,452,825,124,264,120,476,841,879,262,474,856,172,671,
998,613,475,669,467,638,864,049,010,554,767,900,561,454,299,419,005,952,409,
313,107,969,153,344,444,935,111,072,934,129,548,839,182,749,396,710,155,649,
003,321,194,159,218,366,349,812,547,539,969,988,920,507,714,995,219,609,436,
404,995,181,251,401,976,386,986,598,390,817,962,818,400,556,047,492,359,000,
035,426,886,875,930,385,345,701,582,566,769,711,552,458,560,081,033,104,150,
674,830,653,552,846,540,070,190,937,353,970,013,268,154,651,732,185,714,780,
549,775,985,499,726,731,402,555,256,657,877,905,283,002,283,821,458,536,690,
431,157,521,497,629,380,700,706,632,399,667,603,712,549,077,429,298,101,553,
440,520,982,680,723,068,230,514,339,194,999,400,323,416,959,654,519,840,931,
871,669,197,727,814,145,947,615,504,321,626,684,765,675,375,259,236,314,110,
115,161,714,284,349,156,577,406,107,643,056,144,501,895,374,743,874,265,239,
765,890,975,318,493,328,482,673,868,245,004,216,385,202,540,240,994,878,379,
781,436,506,085,738,389,058,184,137,702,614,860,394,385,788,442,818,899,622,
429,968,092,900,176,544,380,363,896,415,412,970,105,113,177,098,396,883,978,
554,907,003,707,118,640,609,032,176,528,275,660,762,680,080,921,276,999,020,
865,582,729,126,099,487,009,113,347,433,926,272,700,753,329,594,887,579,589,
086,700,511,170,092,425,977,794,139,040,851,849,956,036,479,204,113,017,108,
751,221,115,976,556,016,895,947,153,833,920,810,802,755,630,991,854,335,427,
551,973,928,702,833,621,444,127,556,738,004,776,903,449,910,220,467,791,742,
772,706,923,346,964,158,013,171,742,427,822,634,180,195,707,369,736,458,169,
698,659,841,426,403,358,142,219,159,957,407,050,256,798,118,789,455,144,798,
522,914,647,056,483,593,052,899,006,183,293,558,736,622,309,657,849,123,662,
462,330,750,908,972,403,696,984,414,117,952,306,295,061,473,209,327,736,737,
059,903,062,374,073,083,133,376,654,345,901,078,617,565,540,533,778,007,606,
772,265,446,837,290,366,368,633,608,315,798,813,629,104,926,272,190,372,343,
502,494,805,588,439,974,258,942,187,952,314,704,906,562,888,616,462,469,919,
346,909,661,797,547,888,367,645,080,504,310,004,858,662,814,050,681,425,156,
679,735,184,061,545,380,795,076,174,610,352,965,894,913,710,287,839,490,413,
210,353,274,075,803,274,651,574,074,666,680,631,024,123,187,279,372,653,804,
289,619,296,514,994,893,956,453,372,952,601,743,281,331,412,538,807,230,824,
000,445,261,247,135,103,578,715,311,994,833,464,577,978,436,611,112,966,312,
356,354,511,334,083,235,527,750,633,217,653,088,276,756,359,263,361,482,434,
493,746,333,265,228,147,694,511,790,326,610,619,185,338,566,510,763,121,355,
267,356,234,420,860,607,089,626,725,141,264,769,718,829,624,976,133,995,887,
398,169,307,048,944,128,439,641,412,273,054,699,584,792,567,114,169,053,749,
573,971,489,422,961,741,293,368,884,181,255,261,445,769,984,338,606,835,354,
572,635,400,790,782,383,045,934,409,512,710,676,609,044,430,716,828,825,367,
564,974,970,559,522,819,882,526,285,678,165,889,508,124,536,102,619,780,359,
737,399,278,797,844,203,537,154,448,898,176,606,397,010,213,799,018,900,531,
436,470,728,508,081,628,977,206,975,163,079,244,986,464,309,406,748,465,190,
774,078,818,541,747,452,594,477,772,024,186,644,847,183,861,715,034,482,289,
267,056,976,039,750,163,085,782,993,770,491,756,711,959,080,066,541,688,597,
039,565,131,527,768,524,466,141,612,705,630,036,518,471,555,677,726,969,075,
856,258,311,246,227,057,440,189,997,586,405,391,810,035,479,462,249,127,101,
650,691,901,089,713,376,591,278,836,990,930,699,531,784,734,921,634,224,399,
023,037,589,674,646,765,306,009,317,133,899,253,064,182,988,488,198,912,313,
045,070,095,694,533,525,581,595,022,403,130,656,079,208,407,376,453,773,755,
105,702,014,924,919,199,544,324,557,120,894,426,083,187,118,268,070,590,355,
861,037,914,000,404,556,973,250,122,137,386,759,560,820,077,490,827,764,246,
804,424,418,624,316,483,050,719,018,280,132,716,969,119,409,493,688,751,545,
069,808,610,359,851,339,013,053,035,135,519,853,239,298,709,777,145,048,881,
510,950,823,515,441,141,494,593,520,927,205,733,059,721,003,038,960,266,773,
292,670,825,943,950,850,021,388,341,377,944,998,841,651,984,618,993,529,718,
067,665,978,637,170,619,864,689,500,981,606,011,580,442,389,426,997,341,510,
723,771,334,675,026,454,908,665,986,417,281,544,962,426,103,761,759,379,623,
965,716,046,332,490,248,521,997,783,783,258,816,475,914,424,069,698,425,854,
337,055,654,019,663,738,714,847,873,338,818,486,617,620,318,914,693,581,539,
232,747,847,269,650,970,866,616,402,742,486,910,448,393,443,041,363,009,438,
203,135,426,815,072,326,853,636,584,115,833,669,442,596,478,728,902,509,865,
021,506,695,229,296,305,373,898,443,596,019,199,484,409,380,933,411,669,349,
156,295,870,869,331,620,066,655,755,170,908,177,026,128,410,097,020,044,278,
870,129,710,830,574,601,098,365,590,858,919,267,913,172,425,624,291,736,172,
197,494,452,107,943,493,935,721,130,580,166,757,276,585,528,298,035,971,479,
869,803,762,090,461,368,688,517,199,567,712,935,626,980,595,872,207,097,054,
424,492,037,238,410,064,426,065,318,045,401,134,700,480,722,271,391,857,449,
435,038,856,302,669,708,802,294,925,694,343,630,933,305,864,968,370,462,527,
030,854,757,450,393,549,605,573,812,513,476,069,522,927,628,997,700,945,101,
855,572,263,568,722,293,379,338,879,325,855,043,014,178,140,685,674,722,711,
377,639,789,714,565,219,364,225,345,810,604,186,406,097,347,609,828,498,639,
661,273,098,825,375,194,731,771,513,432,892,790,385,615,400,827,009,932,481,
283,660,555,120,964,102,560,628,294,099,643,494,651,157,228,108,612,141,780,
644,343,445,951,854,054,385,299,028,191,125,890,457,903,730,761,873,651,016,
306,587,390,334,471,119,193,508,520,080,237,858,069,984,448,622,863,430,537,
852,092,739,941,457,653,175,263,312,318,588,874,353,882,839,423,254,318,435,
227,616,331,289,364,406,329,123,415,077,481,445,024,649,892,183,267,408,547,
447,372,290,792,791,423,582,551,819,155,769,413,158,196,255,388,636,904,841,
086,390,153,295,106,116,107,162,037,632,224,312,653,741,538,156,652,837,353,
625,088,617,841,273,369,719,555,671,219,882,767,411,430,836,330,951,468,100,
127,259,104,042,052,988,613,222,971,974,257,240,123,845,478,560,447,377,066,
242,271,844,209,673,284,754,560,852,164,751,065,398,869,072,470,904,977,140,
914,406,925,919,799,783,902,103,644,479,146,355,087,630,712,434,322,699,081,
092,936,270,621,704,473,418,038,399,899,262,822,278,774,766,871,917,700,111,
626,305,206,332,179,947,361,663,257,302,945,986,624,435,683,741,847,538,258,
352,709,204,927,298,350,521,780,690,003,079,868,172,641,384,680,147,498,989,
689,869,503,472,213,173,062,881,376,483,666,641,973,283,828,700,822,911,931,
855,008,731,004,622,627,414,596,986,801,538,009,049,937,435,905,320,298,088,
302,050,601,703,973,360,173,850,461,114,192,584,726,049,237,379,224,276,997,
581,704,986,360,982,466,419,675,489,358,972,292,341,733,021,181,322,590,665,
825,644,745,226,665,300,599,961,612,143,911,679,011,790,500,120,030,940,194,
173,598,556,049,194,827,928,885,328,142,503,022,812,516,187,841,773,252,153,
943,482,939,721,507,963,428,374,819,160,084,438,758,212,436,930,105,310,130,
793,458,789,615,005,710,430,351,973,398,077,731,370,335,254,195,030,976,161,
088,621,540,578,342,868,059,646,639,455,243,514,477,966,721,783,034,192,101,
941,842,899,641,795,363,288,465,705,599,087,590,949,087,671,379,848,885,191,
678,011,464,620,539,817,808,701,804,050,072,824,487,680,933,828,090,605,433,
639,626,491,370,490,204,680,351,028,125,655,443,084,368,207,912,468,788,850,
807,810,067,495,124,399,785,986,850,974,312,284,356,054,422,594,846,838,210,
784,536,948,960,477,029,447,181,467,750,189,300,979,133,396,642,890,591,379,
292,912,667,109,214,600,018,030,262,940,088,533,160,319,426,436,356,877,817,
731,845,853,045,376,539,024,332,616,137,279,875,049,583,206,540,959,933,441,
753,484,555,053,165,450,471,419,860,707,007,090,081,511,476,617,274,843,727,
967,426,787,725,460,832,007,085,298,529,204,558,962,977,659,643,454,818,589,
073,400,488,256,767,884,208,424,128,319,291,806,249,079,036,551,240,056,718,
289,512,609,059,736,729,198,511,205,911,653,152,996,662,336,450,368,737,166,
818,765,820,977,714,296,539,907,728,976,574,857,290,513,865,680,834,102,097,
708,548,900,777,329,744,485,867,526,935,130,384,276,653,044,154,532,883,683,
010,079,886,706,463,147,174,800,211,707,712,378,844,803,061,038,760,808,052,
934,513,253,272,989,428,873,305,988,479,967,394,322,363,294,214,251,948,564,
654,975,741,435,314,031,848,769,355,456,806,652,244,170,265,950,120,906,963,
130,879,035,720,337,332,485,520,379,935,107,254,091,905,805,135,619,893,844,
425,619,765,086,900,452,446,367,420,476,977,622,082,376,949,062,447,362,301,
352,338,984,630,879,704,801,757,834,268,833,766,818,334,655,439,344,225,853,
722,628,382,250,828,498,509,300,472,166,851,333,256,817,437,936,139,853,226,
685,846,293,836,801,627,536,470,929,941,088,864,854,933,020,035,695,568,159,
027,723,678,914,592,563,901,592,480,711,304,231,223,589,066,104,085,324,729,
180,983,128,292,054,867,599,443,011,982,233,242,181,538,199,529,384,595,937,
691,778,255,251,628,001,290,713,854,488,226,284,732,165,003,940,803,048,245,
127,579,805,165,370,558,632,326,552,098,018,884,848,030,229,483,110,217,131,
188,634,565,354,508,479,372,330,114,441,027,945,665,672,011,183,657,322,369,
262,266,556,518,581,766,643,257,514,931,129,616,970,307,463,365,024,798,160,
564,509,427,600,242,175,369,883,871,078,785,218,051,695,256,279,956,920,016,
994,875,248,037,162,479,239,830,372,611,448,406,256,099,679,374,799,021,349,
554,402,859,093,279,977,269,280,418,152,169,684,221,847,828,231,704,663,493,
286,204,061,972,557,434,633,556,440,587,966,756,270,059,707,537,474,160,933,
639,266,787,621,763,942,481,512,674,644,299,684,496,132,022,721,282,842,019,
959,814,326,061,607,921,987,091,085,710,610,152,025,244,412,245,893,616,531,
470,918,649,222,817,466,728,735,196,418,389,601,724,617,491,905,505,765,874,
149,063,110,187,505,145,524,874,810,332,518,549,715,987,902,477,194,152,405,
427,810,010,391,285,052,414,625,922,782,690,631,210,893,459,172,705,149,891,
331,685,031,450,662,391,277,857,432,584,821,206,438,907,350,323,405,691,869,
389,274,789,195,410,585,137,445,090,970,999,729,505,638,011,848,182,566,927,
744,097,563,583,723,494,741,402,530,035,499,742,602,344,806,607,405,911,199,
384,176,987,378,724,156,784,311,893,769,634,260,263,791,335,279,191,648,459,
905,336,113,402,046,572,634,635,776,402,288,654,035,771,942,838,828,610,307,
280,702,063,837,924,104,597,269,926,839,801,764,522,942,547,625,485,702,612,
271,911,093,196,001,966,724,537,022,768,069,807,362,867,335,361,055,716,015,
711,562,543,031,001,726,936,537,404,754,906,499,973,913,641,348,047,844,397,
216,897,900,489,068,084,575,434,372,105,163,101,304,266,306,004,533,122,013,
802,690,646,383,022,337,907,683,982,781,618,166,340,518,800,679,347,646,407,
478,143,077,703,526,608,432,151,495,757,853,573,863,807,397,867,874,515,775,
323,299,812,273,723,556,805,405,447,391,509,261,598,640,618,602,013,311,104,
983,620,581,744,850,514,318,540,112,569,192,086,807,803,223,349,104,019,778,
911,009,093,089,337,157,218,713,312,323,505,573,647,165,330,956,904,641,448,
814,340,987,545,672,509,489,257,075,011,857,864,789,720,550,044,250,510,265,
988,712,505,622,327,184,411,659,604,501,696,323,854,688,321,123,941,807,482,
325,576,678,509,044,548,929,218,856,054,765,016,281,333,880,179,493,862,847,
217,818,036,002,448,996,056,514,060,495,408,253,654,160,079,008,436,178,021,
868,344,512,971,376,457,733,445,112,370,554,042,988,732,735,302,060,697,987,
575,818,356,378,766,398,685,082,780,442,578,556,087,577,608,466,049,091,949,
900,978,316,262,761,238,833,098,048,091,030,658,406,754,539,008,844,755,561,
683,433,986,227,112,504,556,749,470,782,338,454,898,767,645,850,452,410,864,
823,873,440,382,977,311,329,710,374,676,398,550,593,251,645,858,858,816,473,
524,642,519,785,284,943,080,937,252,504,845,170,636,184,639,896,976,299,011,
655,734,385,053,459,386,189,229,492,298,450,977,310,475,052,587,390,666,149,
580,346,736,095,045,620,356,464,365,384,818,171,300,159,987,520,039,976,061,
100,372,186,217,024,124,947,937,234,120,430,717,655,307,867,585,187,936,141,
226,266,565,970,385,278,266,497,443,543,419,454,565,063,805,674,283,474,193,
409,373,628,945,566,111,652,418,193,248,697,088,078,734,129,616,709,615,057,
373,228,336,266,292,282,397,024,527,256,526,040,258,546,199,854,141,054,221,
414,656,320,805,122,533,450,597,519,298,848,879,306,957,325,525,141,768,132,
735,275,672,804,510,603,683,378,497,329,076,725,683,685,014,294,750,172,602,
423,817,047,542,862,701,472,453,582,098,968,175,843,758,783,850,555,408,617,
888,318,756,267,022,393,379,477,881,378,291,075,611,293,922,293,411,507,397,
417,781,999,292,006,420,106,948,796,434,375,836,171,362,730,937,165,719,335,
624,045,161,591,338,205,419,479,209,743,472,170,693,742,543,156,732,767,422,
401,142,000,161,272,451,544,253,539,196,541,891,856,499,459,925,662,736,233,
439,822,612,025,439,391,154,474,748,675,142,590,140,266,336,036,833,791,741,
389,105,827,387,753,381,535,965,594,286,762,573,335,818,764,071,576,360,583,
419,877,947,378,891,580,770,270,454,128,360,950,230,482,928,729,577,448,371,
924,211,335,005,112,415,107,273,903,005,173,030,916,695,548,993,826,106,603,
392,921,013,399,445,553,847,699,179,312,027,741,157,966,221,783,431,585,888,
509,167,271,501,792,518,811,928,572,838,135,783,771,096,541,586,152,807,230,
704,051,208,698,537,919,587,345,349,191,913,198,178,564,565,267,527,195,214,
524,718,077,084,693,882,000,323,473,438,995,044,643,953,079,687,454,477,780,
196,553,116,073,812,774,995,779,720,833,189,207,444,215,924,256,740,593,686,
677,747,945,430,857,302,794,015,304,384,727,042,005,294,281,245,857,114,776,
021,816,627,883,992,096,443,943,633,849,852,953,876,135,694,092,591,169,627,
694,074,892,977,925,773,357,643,058,379,112,675,733,720,940,236,446,941,548,
721,157,934,258,666,601,855,565,912,534,708,905,395,570,365,242,727,142,544,
348,137,766,691,912,303,764,063,533,063,221,253,693,244,195,461,088,059,060,
881,277,918,229,660,530,398,513,283,708,968,462,180,687,021,861,059,776,264,
267,228,286,961,955,866,907,446,982,270,213,842,660,209,418,528,118,059,906,
420,997,269,200,420,415,003,930,985,694,806,881,701,143,434,517,061,784,625,
131,504,911,283,491,270,473,587,280,299,378,070,541,151,096,990,855,766,217,
268,254,414,280,044,807,270,733,331,865,837,007,245,456,464,645,489,890,186,
887,221,341,503,775,286,791,899,576,525,919,747,522,320,501,599,923,567,498,
657,974,898,199,264,682,581,682,528,311,959,443,400,745,608,099,982,327,182,
266,258,958,847,063,766,329,239,510,626,264,357,292,201,084,854,882,817,806,
527,427,088,538,611,183,357,443,695,881,704,405,582,699,347,219,089,332,231,
608,723,159,938,489,721,399,012,574,341,119,764,491,174,802,316,378,827,945,
686,910,913,239,611,264,985,848,020,583,834,397,714,842,622,082,785,774,746,
861,787,626,411,417,064,654,580,174,942,230,798,232,993,335,198,156,500,652,
805,945,500,016,742,665,402,128,490,916,340,067,109,287,753,535,980,335,449,
655,987,955,451,267,939,622,452,302,054,409,414,886,376,174,666,301,422,050,
031,300,898,229,744,788,917,040,006,754,738,311,809,131,450,015,378,176,181,
734,670,478,914,793,861,017,141,963,356,516,499,061,979,811,430,019,810,368,
518,373,730,847,335,734,229,637,890,744,343,824,434,754,211,431,351,298,453,
682,520,046,084,658,129,038,952,799,445,083,205,404,782,208,101,230,492,246,
073,909,845,139,140,144,472,326,903,795,807,371,229,305,967,091,858,419,600,
737,683,902,971,193,992,849,594,971,429,147,952,300,115,056,496,042,526,809,
287,672,578,131,064,282,852,620,991,593,924,232,976,050,310,562,140,676,201,
126,968,027,212,213,172,790,090,123,713,988,924,730,630,562,283,258,726,414,
209,440,696,527,824,322,931,132,691,524,372,525,049,907,528,437,304,359,551,
536,132,255,302,824,863,327,372,096,951,189,466,916,858,257,170,801,614,538,
134,297,831,398,204,436,897,284,499,620,570,695,440,202,021,391,498,276,856,
532,943,219,447,995,473,770,679,938,952,376,766,208,612,658,204,843,027,282,
825,098,375,833,741,818,859,717,824,848,780,910,608,705,921,383,124,035,985,
611,371,466,188,914,611,710,967,717,031,995,418,041,176,233,182,782,790,177,
551,596,047,808,178,356,659,594,196,538,586,939,152,416,956,030,124,903,691,
768,867,936,719,637,959,261,749,749,472,995,399,831,057,821,365,979,668,068,
655,977,265,863,092,067,795,857,045,538,289,386,294,120,253,174,186,288,573,
093,026,993,343,772,346,561,094,317,731,183,076,022,232,479,615,036,248,196,
256,198,990,375,652,310,895,348,064,482,852,364,582,996,325,650,203,203,359,
823,546,970,406,974,047,285,767,748,114,167,313,952,983,279,550,435,895,947,
458,180,893,650,736,073,056,629,593,359,032,235,342,682,733,634,615,224,758,
323,840,944,236,399,434,037,536,152,612,487,780,879,303,262,310,282,140,185,
467,319,836,401,418,858,802,807,362,281,447,788,380,525,580,366,432,273,148,
327,114,432,590,379,028,142,124,309,975,943,171,460,476,508,104,615,065,758,
147,321,536,770,839,260,870,566,311,211,144,394,741,124,779,710,874,334,528,
474,320,290,374,801,078,629,443,325,972,847,617,667,199,778,118,854,787,693,
702,743,962,840,651,973,836,733,690,362,627,186,741,330,877,426,313,722,603,
715,633,427,019,946,522,192,524,990,163,860,419,577,121,674,450,110,691,090,
129,322,954,163,028,154,885,352,599,007,827,210,537,590,752,543,712,310,458,
302,815,402,631,000,182,250,137,446,137,527,821,536,431,443,065,772,676,082,
338,712,523,271,193,994,010,988,311,692,495,554,999,508,581,631,510,443,874,
315,819,464,329,455,092,554,860,229,555,187,287,027,328,841,502,915,201,025,
534,397,792,159,582,529,581,277,063,688,220,449,985,514,746,031,361,702,828,
178,099,582,714,122,356,929,975,656,027,601,155,920,993,724,349,594,897,888,
493,044,527,869,987,826,093,924,917,392,700,869,506,999,871,833,513,247,615,
096,577,523,093,342,186,132,258,299,154,589,948,108,705,739,947,296,530,306,
040,391,292,498,902,202,291,533,178,771,049,334,667,510,964,805,135,893,315,
836,899,593,407,411,782,833,407,957,766,633,385,962,202,343,303,078,689,237,
015,523,037,662,487,894,647,246,902,078,100,478,888,233,336,940,561,186,486,
895,167,477,194,653,645,731,042,519,136,190,729,454,793,837,745,660,680,692,
396,081,661,683,624,136,013,972,045,339,980,943,075,176,339,167,266,248,600,
189,561,658,421,392,645,684,681,280,735,088,545,628,763,629,470,834,937,043,
295,679,818,472,969,900,006,933,320,312,117,861,036,730,571,898,825,931,451,
510,077,712,525,991,186,685,652,156,539,889,122,858,541,159,955,977,633,866,
020,009,482,154,374,123,158,275,923,017,831,770,365,617,772,404,689,515,981,
757,812,572,332,390,274,126,886,322,342,827,405,468,627,131,407,894,042,846,
967,530,785,160,113,562,062,312,916,495,740,556,538,320,849,984,444,241,511,
705,886,018,941,988,317,108,692,730,703,014,259,084,707,090,801,830,672,518,
122,503,595,832,233,917,743,097,764,997,639,037,807,177,608,373,450,425,011,
819,346,200,150,997,715,548,364,253,376,238,335,149,638,687,061,713,289,852,
769,947,073,460,587,766,189,078,380,649,843,651,082,992,549,461,924,070,196,
675,629,577,452,321,040,972,239,444,416,213,276,908,092,014,285,311,386,547,
439,647,634,161,132,678,587,440,404,265,346,573,759,376,993,601,643,369,928,
971,681,558,275,410,397,029,778,143,843,375,364,257,474,731,549,443,495,427,
114,789,753,447,510,177,686,475,663,500,382,560,297,413,725,719,909,869,951,
744,381,159,926,422,059,614,561,304,769,335,917,164,096,460,687,604,333,418,
709,186,088,860,810,394,269,884,856,014,159,761,892,401,907,487,854,521,591,
717,751,937,512,959,725,178,547,243,772,016,945,679,844,149,227,752,282,858,
616,429,026,168,823,423,781,386,038,401,473,725,690,791,689,245,765,359,552,
116,236,018,350,981,526,846,830,954,940,125,388,245,440,487,713,113,424,326,
756,305,275,580,645,454,124,648,505,161,072,635,015,609,340,386,156,024,012,
820,143,483,740,903,181,666,187,183,505,279,719,253,319,230,246,736,124,196,
189,315,540,824,215,527,194,464,548,635,153,933,207,128,368,086,938,492,749,
226,863,618,781,769,112,407,057,073,886,804,434,068,157,664,832,996,151,060,
146,689,059,028,133,714,289,297,068,549,379,639,433,524,389,263,061,260,301,
571,600,637,186,455,891,284,404,101,979,238,599,981,760,372,332,053,021,887,
584,700,263,733,007,322,486,207,333,398,650,303,191,912,200,237,994,365,589,
496,092,980,150,328,406,644,316,203,510,318,490,949,975,344,011,019,230,755,
128,392,117,562,789,061,680,867,307,281,275,368,243,998,620,766,805,576,599,
539,117,718,870,945,965,333,506,786,106,807,183,142,435,463,908,780,201,943,
490,933,807,011,083,430,217,802,360,397,404,747,820,010,867,145,311,260,613,
725,057,962,326,679,513,704,356,986,876,868,238,057,665,576,124,532,018,196,
786,418,273,029,222,689,495,710,385,094,669,251,457,033,334,436,022,444,949,
200,181,357,649,438,827,996,125,285,216,074,039,248,202,099,115,149,149,937,
709,798,110,001,578,548,164,319,331,151,418,896,007,842,077,032,044,568,250,
592,657,204,436,551,325,962,477,372,294,801,120,898,040,474,795,089,055,040,
603,849,416,019,474,137,782,895,652,939,294,856,643,747,602,104,445,375,024,
399,671,659,721,264,082,821,613,269,785,328,328,936,599,200,697,405,125,215,
689,768,886,339,294,614,282,434,491,143,533,241,439,225,390,261,164,706,519,
813,711,909,991,484,369,104,701,037,824,782,383,789,777,026,959,926,336,059,
067,092,388,567,890,655,544,981,611,035,379,972,423,388,995,609,918,595,730,
565,338,561,685,764,059,444,015,999,851,717,803,700,198,670,825,386,269,700,
523,808,222,877,163,030,518,721,100,334,186,321,547,140,302,348,362,317,991,
201,635,781,757,025,699,513,436,316,087,753,859,258,106,928,215,873,979,590,
609,672,047,235,832,088,447,240,727,945,497,693,535,205,772,703,138,683,910,
697,755,205,402,548,717,683,669,881,615,063,837,486,068,969,269,658,819,006,
154,321,720,180,125,187,764,896,428,439,932,504,472,192,582,138,052,786,965,
832,081,459,345,819,798,745,084,142,188,700,874,297,110,247,540,572,261,834,
974,847,603,231,295,929,100,537,050,527,399,776,456,540,778,333,820,220,378,
501,117,254,765,402,092,903,865,577,177,359,405,462,999,270,957,601,534,393,
515,906,347,123,674,159,424,217,833,152,977,422,604,204,116,142,318,423,169,
111,297,967,684,654,070,469,540,448,175,250,479,009,532,338,587,751,379,738,
988,820,531,396,125,697,306,351,758,316,839,239,105,721,425,867,781,468,743,
422,595,404,214,246,481,654,216,362,985,571,772,507,037,478,679,787,295,453,
166,841,177,937,540,398,612,573,775,492,320,404,127,998,176,078,089,303,905,
690,285,994,551,760,141,513,273,713,322,676,836,255,499,220,097,690,442,678,
009,932,852,188,067,657,249,922,715,685,200,467,431,509,575,983,144,222,752,
882,420,333,017,113,135,103,502,873,420,497,340,947,528,831,297,971,993,835,
735,525,023,166,126,185,766,522,095,860,321,189,180,115,512,071,077,968,681,
265,756,690,387,341,353,548,887,342,680,217,835,223,391,860,141,472,051,182,
427,237,641,430,065,151,889,363,167,118,067,897,777,908,782,508,735,241,764,
540,911,556,520,361,607,656,353,969,443,915,914,305,309,151,483,856,474,901,
882,279,961,532,654,611,412,439,852,951,030,603,254,209,435,566,477,057,159,
216,937,825,766,904,575,407,865,603,927,570,755,159,428,674,590,705,864,528,
960,853,229,511,927,901,076,063,328,662,387,778,342,830,733,869,297,577,693,
214,754,448,032,131,750,902,475,967,985,787,564,805,871,102,236,182,915,641,
105,295,482,906,349,530,140,232,911,926,716,694,506,923,250,387,839,441,072,
512,783,974,097,504,222,138,336,751,687,488,450,002,150,501,641,402,374,814,
499,195,015,110,598,989,926,212,970,332,046,370,084,901,028,573,766,135,086,
160,172,594,892,842,351,405,514,986,262,951,213,084,896,271,265,743,140,987,
651,296,586,370,518,485,125,729,381,214,684,852,441,481,913,392,763,813,408,
996,484,707,104,318,736,453,195,149,912,257,473,818,677,716,335,691,050,788,
833,665,997,984,857,354,515,226,158,618,395,313,806,397,482,173,550,846,214,
556,859,277,827,563,530,206,487,472,511,433,076,700,691,964,083,475,337,933,
844,279,616,539,751,614,247,991,537,388,869,973,249,142,890,056,105,165,049,
190,671,882,981,283,374,484,744,424,107,449,316,863,791,723,957,018,077,961,
782,447,169,505,585,832,683,593,343,556,896,123,951,811,938,561,724,049,072,
783,472,406,704,255,318,352,857,262,509,667,325,559,662,657,006,912,697,483,
272,513,739,527,469,915,661,098,997,692,899,047,360,738,595,346,068,664,467,
335,205,357,129,954,426,066,693,247,882,260,172,756,313,698,568,232,937,738,
867,860,561,848,128,419,146,330,421,530,063,756,198,608,967,151,645,303,180,
417,081,209,151,077,991,435,612,009,471,016,144,225,486,144,316,257,641,444,
299,648,625,073,923,631,722,329,361,688,733,398,989,624,197,048,369,707,665,
062,047,216,642,918,395,234,968,194,662,882,018,198,990,697,126,482,173,194,
270,232,405,403,117,115,500,077,417,182,490,167,828,434,524,852,913,385,428,
786,260,717,169,899,326,756,919,055,894,604,228,890,807,339,533,862,386,334,
392,723,435,207,724,176,744,801,243,297,141,801,962,660,298,499,808,279,087,
791,930,318,766,330,993,548,662,653,261,910,092,896,705,880,588,793,896,118,
562,467,043,761,483,562,352,603,460,338,601,672,146,817,956,631,144,585,459,
049,982,945,356,911,140,144,647,513,144,927,142,781,128,105,583,219,897,401,
733,346,111,397,969,483,786,936,237,364,923,117,908,793,943,349,318,560,641,
600,037,109,852,024,937,828,509,986,672,607,881,842,385,598,873,164,239,737,
616,254,308,402,995,850,252,424,740,757,709,899,302,931,380,100,619,419,779,
435,699,980,564,621,344,243,577,174,766,791,300,682,950,667,358,983,149,978,
875,012,313,948,880,136,841,317,489,715,797,841,385,838,885,955,368,547,207,
335,858,545,087,863,618,385,132,141,557,957,429,111,853,764,804,947,249,767,
793,490,394,449,544,560,203,110,557,899,459,997,049,738,273,121,016,475,122,
480,096,811,151,037,985,444,753,244,754,471,071,104,538,252,181,863,898,608,
859,969,346,797,766,258,059,055,410,634,851,319,929,150,731,187,717,481,218,
845,153,159,443,385,344,804,911,965,937,778,196,389,077,149,197,792,097,760,
804,573,990,664,807,539,065,727,717,447,513,198,833,145,128,627,494,911,279,
319,283,509,697,738,669,008,976,747,393,901,836,043,835,644,258,536,655,788,
078,291,399,680,814,916,942,670,567,346,516,246,698,374,153,826,913,097,045,
789,370,290,195,334,510,133,631,343,556,057,264,280,798,168,996,657,404,480,
430,926,429,173,795,913,118,531,925,259,170,366,904,198,339,708,208,365,987,
729,186,342,496,617,650,518,610,794,517,934,232,752,123,305,354,688,821,566,
941,363,204,457,799,624,418,347,420,302,649,097,946,490,584,861,294,928,414,
713,682,698,746,911,805,869,745,253,280,237,276,045,126,794,504,245,423,610,
080,417,345,410,941,102,009,856,411,064,213,859,607,973,005,023,559,378,562,
570,613,213,663,210,147,117,624,661,136,766,686,367,890,475,421,337,838,087,
221,538,589,447,773,411,423,409,133,124,288,789,202,708,796,641,526,578,825,
541,533,754,120,396,345,499,595,579,958,600,399,101,752,839,544,856,101,630,
005,037,064,891,097,410,442,646,641,657,152,826,999,233,382,262,484,277,691,
472,665,726,107,638,243,666,707,714,757,530,041,076,762,496,395,340,337,023,
242,459,538,012,894,163,677,368,013,172,296,471,998,074,829,992,075,361,159,
842,320,873,495,864,449,325,616,124,986,567,516,075,918,821,698,639,198,920,
970,039,972,130,242,776,043,937,926,902,886,125,789,319,510,069,837,377,524,
336,386,718,957,239,775,426,152,352,247,121,322,892,994,849,513,667,382,478,
576,313,103,735,649,700,404,707,826,915,347,089,968,917,709,177,747,387,026,
054,903,478,009,836,208,615,905,286,741,512,924,614,300,952,167,410,800,476,
883,798,408,347,766,220,138,465,243,781,594,699,108,110,957,840,690,922,922,
129,658,745,548,802,522,309,808,031,283,273,136,477,339,346,121,335,851,983,
961,599,810,776,718,053,292,726,030,881,841,785,908,486,294,555,026,291,225,
877,546,224,391,853,426,047,640,847,802,504,868,677,750,630,052,181,344,397,
190,135,465,435,989,027,654,326,095,572,350,677,836,653,666,836,294,486,730,
167,186,966,626,674,716,531,708,221,144,339,029,339,495,996,300,253,517,268,
564,530,900,399,250,269,333,542,646,356,678,865,839,176,373,045,132,436,684,
806,197,697,746,283,706,265,843,589,667,873,967,556,874,858,185,234,368,483,
743,328,762,214,027,619,650,586,317,119,254,324,059,912,161,197,220,236,958,
731,634,922,670,537,579,792,649,415,607,538,565,593,088,163,843,605,289,792,
604,608,563,180,300,429,366,395,311,159,158,102,403,564,787,690,387,286,522,
316,318,647,039,847,300,824,074,428,084,256,668,373,634,360,033,392,602,472,
730,170,841,271,378,299,647,847,799,453,499,783,726,152,771,981,253,214,047,
565,517,504,579,179,890,520,880,290,762,790,286,845,596,508,337,281,495,006,
524,100,231,099,319,501,257,474,428,687,990,462,900,735,178,804,602,216,526,
570,930,598,479,781,342,226,366,840,549,134,637,175,515,437,681,678,168,494,
124,879,007,044,299,697,768,259,949,949,193,770,333,659,340,526,011,081,859,
504,345,177,477,718,851,379,552,659,650,353,234,614,232,138,968,144,636,784,
620,025,850,333,209,807,598,931,171,079,331,657,421,959,784,465,627,862,303,
684,355,164,745,026,247,982,463,328,723,625,854,049,824,591,837,281,277,313,
160,963,691,476,455,846,850,409,469,308,514,529,653,413,486,417,163,779,354,
742,717,490,610,109,742,892,593,768,933,518,402,119,432,485,681,184,804,561,
593,231,027,797,600,028,769,230,222,338,918,824,307,547,481,768,141,541,457,
709,878,569,742,611,509,598,882,272,357,117,042,034,319,434,605,182,217,650,
757,053,617,824,191,338,425,780,388,299,032,183,125,889,488,203,624,259,861,
293,553,158,299,755,220,871,012,434,256,317,758,034,888,080,873,783,755,647,
046,214,417,520,100,003,572,792,054,426,263,480,263,037,792,233,392,244,069,
691,896,170,994,875,792,789,049,374,244,433,626,504,968,870,947,321,651,613,
039,592,632,458,717,130,180,083,144,705,083,709,609,065,427,297,851,969,998,
272,189,127,947,251,489,707,751,811,088,360,502,184,094,916,388,760,748,759,
589,799,214,832,193,708,598,291,940,512,008,770,999,915,479,169,120,792,968,
578,760,704,893,432,974,140,408,263,264,585,930,339,940,194,493,386,563,345,
777,994,979,714,555,979,758,409,678,426,184,894,122,719,419,128,338,431,603,
714,062,252,953,329,773,923,260,274,926,148,164,034,240,514,228,715,100,155,
853,184,959,520,363,722,511,698,158,185,920,792,657,823,967,168,379,875,132,
270,071,565,607,381,492,441,856,514,893,037,965,126,826,547,077,535,617,475,
673,231,911,709,533,865,606,764,832,622,204,232,578,333,966,476,815,996,148,
772,355,097,669,609,899,059,697,603,155,273,442,365,833,955,302,470,662,764,
278,177,968,470,148,362,529,088,636,266,707,541,228,449,611,719,181,833,292,
325,279,024,736,345,319,323,144,032,132,014,405,529,764,790,823,042,443,884,
198,876,517,415,130,773,880,770,510,167,839,363,342,363,843,718,751,348,900,
288,864,879,757,456,974,600,324,999,538,662,852,032,249,857,571,843,261,662,
663,890,258,272,950,227,504,987,926,938,187,586,806,577,439,311,596,846,176,
143,953,004,081,196,597,892,012,557,242,691,764,558,544,741,103,554,528,240,
180,281,855,683,820,795,267,076,174,156,379,471,018,432,655,171,127,189,038,
190,696,495,656,574,299,187,614,842,731,886,943,237,196,146,483,359,917,494,
498,893,957,693,679,776,637,734,535,358,198,862,693,175,312,782,050,353,794,
881,902,722,278,739,888,452,096,996,648,050,626,077,301,109,576,259,426,644,
101,715,175,710,321,009,229,192,458,721,886,235,821,227,679,296,848,141,052,
102,775,650,722,185,720,364,297,316,026,568,806,722,257,222,075,905,460,393,
376,554,545,857,075,303,530,079,251,824,635,943,553,151,454,922,307,587,424,
903,343,981,227,294,215,439,268,842,069,093,812,642,346,748,556,759,414,539,
301,025,346,464,924,912,500,156,411,158,547,453,314,983,009,386,168,774,872,
911,218,031,581,569,968,842,491,806,128,001,826,418,205,742,733,007,763,789,
980,471,466,508,565,282,091,923,584,287,426,295,678,587,021,964,525,801,360,
071,566,520,972,327,069,038,530,736,111,249,216,012,419,965,149,406,836,190,
410,768,572,932,517,503,813,363,521,551,741,107,340,650,915,603,446,682,224,
900,894,848,848,786,741,730,386,927,182,613,918,433,683,328,222,058,397,746,
770,168,081,423,853,485,936,871,687,530,243,240,027,540,766,257,363,520,601,
415,318,858,626,616,905,808,396,997,054,509,068,587,125,790,667,079,569,760,
765,226,420,189,707,360,526,034,027,329,105,395,077,836,958,303,542,878,187,
627,091,974,390,575,987,933,343,905,792,178,146,567,705,353,425,370,844,913,
207,339,818,210,179,614,455,206,945,701,495,141,046,807,719,910,724,813,819,
573,624,822,737,598,473,394,199,784,045,897,520,734,074,084,727,094,712,760,
215,067,518,577,699,873,669,220,517,789,136,493,195,221,903,670,872,225,780,
336,200,239,116,145,056,401,049,339,583,589,882,451,602,635,761,480,188,025,
460,984,515,820,370,103,148,952,043,055,249,465,067,304,011,114,329,503,038,
690,880,403,793,164,183,461,262,490,358,541,234,475,831,674,634,491,950,416,
882,961,236,332,681,805,088,955,915,223,719,336,400,148,465,570,064,563,235,
855,107,672,472,346,937,138,166,266,177,010,294,544,355,097,286,969,207,223,
510,310,870,204,789,274,929,060,096,186,569,102,938,830,012,993,138,563,278,
704,988,340,889,226,632,439,207,874,679,972,378,647,606,899,852,284,798,329,
774,956,336,071,857,364,480,688,292,422,515,408,877,541,663,714,601,273,575,
148,990,107,943,224,219,901,131,955,675,201,649,877,883,711,610,215,257,863,
571,613,411,513,959,219,613,903,188,245,317,500,874,897,481,116,533,535,461,
404,390,751,855,148,071,352,948,834,914,922,827,757,666,019,812,460,130,422,
894,132,794,225,896,532,403,020,569,228,053,827,142,984,566,680,674,858,701,
128,354,911,116,738,955,846,672,251,114,615,244,362,865,701,193,870,431,176,
482,293,242,489,466,744,627,446,154,397,838,294,832,121,932,999,426,969,796,
703,552,921,899,418,152,245,577,086,531,862,805,969,826,433,756,300,546,870,
096,057,585,226,326,623,815,506,093,136,257,787,565,083,561,524,056,322,646,
940,092,209,277,759,801,043,134,921,565,500,923,822,406,822,712,041,358,981,
095,604,056,279,478,619,508,865,962,057,401,470,027,503,367,057,912,660,121,
176,535,258,024,634,600,928,366,129,314,704,915,896,082,446,514,789,344,870,
553,926,613,791,984,724,324,866,677,688,427,177,678,168,724,630,549,966,251,
723,390,231,113,026,607,395,213,110,359,145,180,631,597,142,295,742,617,711,
615,963,460,113,671,823,556,306,502,472,313,704,990,070,396,092,706,679,275,
377,757,113,089,197,924,985,281,741,343,057,431,639,604,583,360,396,746,921,
963,159,649,388,322,967,554,616,829,226,701,182,156,402,494,260,839,259,143,
288,688,798,409,620,807,730,553,880,945,079,791,698,248,319,313,382,064,003,
222,068,479,215,645,079,040,220,347,070,945,774,869,952,280,939,628,497,111,
868,478,266,285,054,241,274,729,661,772,438,446,178,156,337,872,156,124,030,
961,192,291,841,822,367,666,639,674,633,946,624,605,541,667,923,776,455,791,
844,957,771,190,753,202,362,030,500,906,760,811,418,859,064,090,857,225,944,
044,295,407,179,739,037,380,178,361,150,518,042,663,083,886,199,384,058,368,
897,202,808,450,184,519,452,456,024,194,016,350,846,066,708,867,588,679,706,
603,520,985,288,323,441,021,047,633,636,052,116,851,639,880,204,108,429,069,
646,855,005,382,702,142,372,367,291,701,793,977,149,479,020,255,016,015,931,
170,406,163,788,916,457,635,198,401,592,187,651,989,182,397,433,516,010,836,
663,046,905,643,888,852,315,094,001,386,042,869,250,741,295,981,122,767,537,
943,019,691,383,501,634,796,988,770,441,615,590,858,516,442,743,243,691,363,
055,065,266,621,912,555,635,724,973,010,069,703,885,516,537,893,394,250,833,
641,113,664,447,278,781,268,546,808,103,153,396,459,759,414,551,407,528,885,
087,010,043,381,543,121,842,108,785,046,324,822,829,668,486,519,085,993,615,
309,487,140,732,266,799,230,604,525,738,572,776,589,293,800,880,141,039,789,
155,463,395,158,551,358,709,880,811,366,253,588,505,317,802,551,673,563,919,
156,946,306,932,202,699,585,179,597,064,392,871,940,029,377,966,214,608,369,
139,300,722,298,596,257,847,612,810,399,748,757,055,977,005,464,549,065,396,
448,834,824,020,410,812,716,941,280,375,605,998,988,077,927,136,446,670,760,
680,297,543,068,308,431,202,593,716,438,098,296,614,219,189,228,510,723,904,
557,829,596,565,849,095,571,745,219,204,225,251,936,555,233,066,829,911,070,
004,859,089,521,794,016,631,173,460,821,364,986,241,780,551,199,410,673,639,
762,506,061,657,025,038,615,883,388,940,021,637,074,539,074,536,826,701,226,
219,285,112,366,286,302,448,474,528,447,510,575,835,313,723,595,645,205,395,
249,413,304,286,476,419,495,439,997,897,165,845,921,197,755,714,948,486,624,
391,702,873,640,792,213,505,071,663,131,814,211,375,235,043,301,717,189,933,
554,380,548,081,841,181,121,375,366,197,854,061,392,653,112,193,396,522,304,
741,598,162,716,427,438,108,545,605,124,833,429,219,786,831,770,567,058,952,
708,269,706,802,850,297,781,426,398,608,980,691,133,996,284,079,075,064,877,
865,761,299,087,102,122,428,749,961,113,602,929,451,062,876,597,763,960,211,
919,859,942,800,087,272,358,653,353,740,262,724,214,994,799,001,638,564,660,
412,153,932,206,775,108,816,085,715,195,830,470,678,928,356,319,478,525,301,
703,343,060,789,675,217,493,568,918,927,537,133,288,447,672,207,706,353,323,
644,270,113,916,791,955,143,753,896,197,058,527,855,553,898,665,326,901,394,
671,716,641,978,389,006,842,289,572,795,638,235,770,798,128,941,909,348,095,
443,458,731,095,532,933,225,214,031,833,213,937,591,739,488,980,546,674,991,
922,614,336,420,981,637,079,359,725,789,921,514,448,349,553,088,871,607,012,
431,476,827,653,412,366,253,638,103,793,428,266,904,801,948,224,383,180,860,
971,741,055,065,346,712,721,805,699,668,893,837,614,036,220,547,841,399,965,
132,825,497,139,198,112,958,678,432,506,427,074,950,365,273,973,376,006,088,
509,500,937,582,330,005,920,259,629,071,263,588,947,580,231,299,308,417,616,
277,200,655,273,545,515,646,393,246,300,852,005,792,305,705,242,129,695,748,
253,756,998,324,173,183,586,364,352,632,697,126,726,418,417,512,657,081,300,
373,639,506,420,974,260,327,024,434,634,701,499,995,728,101,826,924,189,558,
968,931,699,240,944,014,858,933,454,261,234,318,975,999,139,476,186,922,365,
796,631,476,494,269,480,556,998,144,196,795,052,384,415,931,893,262,349,326,
437,737,294,933,312,849,099,687,519,801,687,870,795,089,854,170,449,939,475,
167,213,474,368,085,822,247,299,690,901,042,666,748,856,254,479,460,108,560,
431,824,237,269,068,361,737,923,802,683,012,334,858,537,853,033,702,606,965,
489,375,723,982,643,328,360,866,483,186,228,232,517,309,105,587,627,641,735,
715,205,470,772,070,984,395,961,420,156,579,723,710,885,681,106,334,967,791,
072,642,078,035,529,439,657,263,937,351,212,661,894,521,561,849,420,347,741,
509,709,370,047,615,475,091,858,518,019,880,530,360,960,175,687,101,451,308,
579,592,137,750,304,024,699,059,608,230,711,139,170,131,094,274,888,974,496,
764,183,582,449,123,985,760,937,196,760,445,096,085,883,036,564,697,028,517,
497,448,302,816,631,724,967,034,000,093,328,234,012,556,375,143,527,836,083,
720,818,219,934,843,987,838,892,987,732,178,590,285,133,615,449,280,605,224,
976,854,276,575,832,452,928,282,135,557,227,198,265,880,170,845,265,298,107,
672,521,771,981,413,297,939,403,677,186,095,658,898,437,901,352,392,554,948,
689,499,450,827,861,622,674,612,081,228,775,591,618,847,805,635,022,816,141,
220,184,429,007,830,717,366,553,213,531,378,055,174,784,243,735,371,491,832,
573,312,191,431,117,212,207,242,746,927,606,334,696,144,062,045,199,864,013,
670,077,949,009,541,683,997,329,814,625,485,280,423,289,122,801,488,395,260,
543,774,856,433,139,910,620,748,052,727,827,142,956,969,881,869,158,608,304,
337,317,587,549,309,058,030,682,458,579,073,714,366,835,128,429,564,094,590,
250,578,507,220,917,218,086,780,835,383,113,229,781,153,149,556,689,140,921,
589,718,725,354,599,423,106,578,366,952,593,138,965,464,145,215,879,921,139,
900,332,087,332,807,642,270,175,284,647,126,551,050,018,921,672,983,131,952,
258,300,399,584,813,469,711,152,715,416,634,633,025,949,848,209,018,931,905,
091,749,118,033,112,391,685,767,856,830,898,623,667,476,416,360,980,557,712,
539,202,658,119,712,598,069,374,501,452,651,093,915,741,235,849,976,479,188,
263,178,731,424,701,311,622,060,283,262,146,368,695,890,861,996,662,797,860,
756,187,713,726,417,941,530,244,741,737,814,501,995,448,412,854,532,282,431,
531,415,085,051,259,315,152,097,054,917,108,314,891,497,873,962,254,282,668,
377,724,616,255,930,177,819,873,920,193,861,779,540,245,589,647,469,128,926,
209,238,280,373,655,683,445,604,921,149,762,532,329,088,394,718,703,745,135,
752,182,953,817,683,977,772,192,979,590,546,645,620,329,732,326,758,532,620,
764,120,800,283,386,796,881,690,116,635,677,321,382,322,610,288,532,067,025,
768,418,280,508,127,332,595,306,981,553,903,800,180,308,656,587,751,995,709,
467,496,455,492,670,727,848,100,690,768,145,190,618,179,141,620,722,126,030,
500,485,798,806,686,128,557,407,979,394,584,972,952,921,728,717,242,840,640,
949,669,163,627,791,551,982,010,269,300,301,883,099,849,237,514,445,606,782,
622,239,844,608,009,303,194,755,387,231,283,338,434,156,143,942,623,408,854,
794,447,594,319,793,220,297,394,147,904,627,758,823,588,365,525,239,573,106,
357,177,879,933,134,172,226,101,787,935,608,037,349,771,091,201,305,435,661,
776,952,648,449,475,038,776,626,611,841,665,054,801,638,385,749,824,468,887,
573,590,928,782,079,832,444,597,752,722,618,673,947,369,955,898,071,620,358,
096,617,844,068,427,414,888,053,697,115,388,378,826,931,139,412,359,115,561,
520,061,186,438,201,473,222,460,516,892,472,328,468,891,947,820,161,341,961,
634,737,236,340,936,676,044,297,093,288,351,286,009,096,229,834,072,236,227,
505,234,719,443,475,486,868,567,842,011,328,685,310,125,388,445,067,743,348,
243,708,527,603,651,681,966,894,906,227,334,012,153,788,939,521,840,441,977,
989,996,161,840,561,148,235,676,455,845,813,812,516,535,293,389,358,411,403,
895,024,186,443,407,498,519,989,563,202,576,835,319,108,628,485,345,277,199,
594,595,147,601,079,282,686,865,767,279,969,926,452,143,885,700,684,168,189,
680,282,315,837,468,849,540,249,507,726,695,134,054,138,101,269,033,518,226,
660,342,968,845,017,066,987,349,185,990,249,451,198,318,478,464,206,426,712,
723,865,101,508,076,763,674,945,657,548,170,843,161,878,982,622,793,112,685,
321,756,213,504,322,344,069,638,193,837,520,566,379,880,091,887,798,783,979,
242,796,100,693,625,259,091,414,246,264,122,601,942,499,034,386,748,668,731,
663,790,523,744,445,348,929,072,903,610,417,487,969,760,727,583,428,704,347,
954,502,947,527,718,602,274,344,553,109,438,096,966,940,555,975,747,081,580,
369,974,057,908,495,160,068,349,189,746,016,548,838,960,112,002,391,454,493,
597,924,166,261,706,380,988,098,901,364,466,659,542,119,880,698,333,552,138,
969,523,123,430,121,330,544,127,106,737,499,889,838,588,107,487,089,068,314,
610,353,578,012,484,748,493,221,963,084,650,712,713,143,815,796,653,312,639,
282,862,276,313,886,166,306,830,190,622,000,503,258,276,387,258,814,801,633,
596,997,175,375,274,579,739,979,043,537,080,259,627,545,057,859,601,823,193,
852,677,325,805,008,770,030,419,302,899,613,841,720,725,804,777,606,921,680,
396,748,340,520,217,015,051,309,606,169,138,225,739,142,283,583,391,687,566,
935,928,346,397,969,583,885,339,049,169,669,859,199,687,745,739,164,837,931,
011,674,683,833,702,275,623,549,034,395,558,868,502,837,283,651,522,286,639,
709,745,883,648,661,250,262,766,616,355,445,141,194,985,746,248,060,571,335,
671,674,964,013,107,712,785,776,032,740,183,454,208,334,299,783,470,326,674,
845,244,361,607,001,192,876,478,165,623,158,941,649,276,667,383,051,076,033,
015,970,423,456,944,406,213,138,462,451,717,864,946,692,220,851,636,824,994,
866,537,196,420,008,452,602,252,399,181,785,010,226,282,237,824,075,828,865,
579,124,482,889,036,176,496,674,540,103,456,219,717,753,099,308,599,355,826,
100,452,194,537,873,641,759,504,615,043,880,856,293,844,324,713,473,245,064,
792,533,757,504,002,883,612,496,574,678,082,740,022,675,887,133,713,719,013,
400,712,896,365,070,604,566,165,890,406,316,687,623,475,979,944,350,629,731,
236,723,445,417,558,711,202,954,488,829,443,560,028,724,194,473,795,694,648,
642,547,574,940,713,979,077,615,100,418,621,076,763,336,030,078,419,827,759,
366,534,389,564,921,067,473,503,086,813,813,779,569,609,769,867,969,221,604,
117,142,998,966,854,536,931,371,025,374,898,148,759,431,614,758,537,830,789,
731,092,915,199,751,052,283,521,478,486,209,166,240,889,861,986,624,061,060,
478,379,449,554,432,592,062,390,162,908,556,037,015,012,628,127,091,732,566,
402,899,389,107,926,430,323,647,049,802,704,024,743,853,981,882,106,397,376,
782,088,674,225,173,068,697,091,663,854,579,957,160,746,811,577,979,673,193,
777,155,106,076,914,600,608,247,118,564,946,648,991,484,009,313,647,981,390,
118,655,669,598,334,209,665,161,862,364,911,489,950,897,261,046,158,802,765,
174,836,768,045,187,050,691,582,483,574,412,106,388,070,259,102,857,981,312,
201,251,180,949,915,738,907,725,305,751,416,845,209,917,579,313,435,672,378,
447,682,566,628,886,415,684,488,141,478,867,922,779,511,342,113,866,130,986,
653,110,485,579,931,841,342,873,510,170,987,484,452,388,924,476,905,075,328,
337,963,721,478,817,101,610,820,940,706,220,698,923,117,754,864,652,994,415,
143,641,666,929,581,262,282,016,005,606,367,720,876,010,552,758,951,100,539,
653,516,722,354,368,765,568,112,049,004,259,842,931,051,330,399,349,215,796,
219,245,830,632,731,351,985,339,850,318,443,860,998,542,284,031,052,047,791,
825,313,342,353,217,742,983,938,614,100,629,252,179,579,109,665,632,300,757,
824,177,601,714,031,881,393,485,439,807,059,846,292,409,560,351,452,502,500,
185,447,524,213,075,846,960,944,356,289,287,726,555,046,263,520,481,496,829,
060,523,714,537,136,708,079,067,876,957,268,910,024,636,338,312,009,792,092,
212,434,484,494,852,234,345,310,311,213,112,735,282,359,776,174,134,973,768,
511,042,068,642,183,193,588,182,677,149,267,641,382,060,982,653,745,289,387,
582,280,784,547,679,405,842,932,827,438,555,620,105,185,306,016,524,080,229,
195,746,387,846,853,584,048,721,599,343,969,333,770,622,934,494,439,749,096,
531,180,513,649,948,514,052,886,083,725,775,527,435,253,625,718,047,505,611,
831,267,378,526,710,958,369,225,067,244,273,679,455,610,185,611,636,636,681,
681,857,233,620,188,861,524,709,546,756,049,805,823,818,746,717,559,802,880,
996,311,889,088,185,411,267,277,165,322,773,395,140,495,939,624,566,190,906,
531,037,500,440,028,873,004,011,353,801,250,018,184,951,854,273,654,915,561,
254,576,671,535,342,292,197,720,229,000,054,214,690,264,004,222,522,712,320,
893,115,950,224,994,845,776,381,435,887,562,942,133,596,581,604,492,139,561,
091,846,214,483,697,784,198,487,402,125,955,143,717,503,355,829,636,900,925,
840,564,018,744,228,977,988,937,056,504,130,440,845,639,605,916,945,829,622,
800,088,464,993,364,946,430,362,320,473,161,274,911,186,195,937,334,907,723,
485,274,761,437,826,525,620,743,432,484,500,151,376,835,705,837,423,402,440,
363,346,357,134,728,250,342,986,598,169,466,515,806,235,908,625,363,093,949,
441,376,067,745,086,317,276,031,410,396,791,242,870,355,293,526,066,444,968,
403,732,187,240,021,519,116,766,895,053,922,619,997,871,865,427,671,743,176,
219,612,942,469,421,367,076,071,760,734,712,777,942,889,565,237,567,676,061,
915,829,225,341,069,905,440,256,011,519,254,366,279,675,124,696,995,462,841,
816,224,498,970,806,733,280,742,243,023,366,629,305,409,737,464,867,224,318,
643,309,619,936,908,827,735,509,253,161,017,482,443,473,498,110,881,284,403,
373,795,656,252,786,028,792,388,689,374,770,321,687,763,025,671,430,891,371,
466,773,028,429,574,098,581,255,773,200,601,919,227,839,289,148,966,372,819,
938,861,256,121,701,713,504,182,405,086,011,326,937,923,330,413,991,055,365,
119,755,334,472,246,196,136,637,009,106,160,850,397,957,831,167,668,187,198,
244,319,764,661,857,674,224,721,759,056,961,213,562,930,962,665,841,030,029,
953,939,050,643,500,536,208,711,467,241,276,410,075,072,019,936,842,249,621,
919,278,842,344,382,801,704,380,116,344,190,804,312,511,997,799,793,677,386,
199,515,538,387,958,021,616,945,469,880,167,018,101,070,050,735,388,251,630,
992,909,670,233,707,534,701,787,538,483,543,675,583,240,120,369,713,271,637,
953,508,877,797,635,597,042,771,877,633,138,966,685,933,823,376,091,217,935,
164,536,421,721,257,350,614,806,587,197,750,272,891,409,406,167,782,140,769,
668,421,292,259,945,413,565,466,778,646,698,828,232,372,471,492,809,459,317,
964,059,119,514,047,269,610,102,007,417,947,503,665,344,531,737,948,810,455,
016,352,260,102,955,634,600,188,259,933,572,013,956,781,006,779,757,846,849,
277,581,049,377,249,883,411,266,296,838,726,930,314,330,871,052,422,637,143,
404,390,153,767,667,054,251,702,501,455,189,829,715,776,533,972,422,715,175,
175,185,595,282,910,699,695,911,931,099,948,254,980,630,471,690,434,297,190,
129,539,854,277,669,037,740,002,467,600,924,121,872,643,949,709,058,831,465,
414,730,038,188,342,380,371,716,525,059,793,256,096,854,233,015,515,480,524,
736,606,413,433,166,825,690,716,930,092,440,029,590,197,278,895,108,310,420,
614,199,217,304,895,986,758,273,700,120,118,228,830,686,481,978,153,069,693,
417,896,663,170,196,888,893,369,125,233,469,728,098,159,247,056,614,037,149,
480,336,188,253,193,275,750,332,728,200,706,112,075,035,409,814,043,443,169,
895,067,567,033,674,452,538,861,173,596,038,727,649,106,059,869,079,322,129,
746,619,706,271,773,195,398,169,367,184,911,000,312,667,429,029,612,905,580,
209,677,545,855,546,498,576,286,338,212,559,533,570,987,046,187,585,203,750,
646,390,103,419,299,524,744,205,386,606,912,380,172,625,355,361,329,285,023,
828,675,517,695,591,822,435,155,696,754,289,834,700,261,469,482,622,775,326,
663,128,691,793,608,399,112,277,818,714,968,502,835,346,780,387,661,486,873,
478,513,272,163,809,796,603,068,858,902,230,439,266,460,072,685,159,709,481,
620,770,860,562,650,398,030,568,976,809,718,223,113,907,317,295,066,854,574,
099,833,685,712,853,791,518,048,686,110,091,934,059,021,958,603,746,396,424,
657,540,349,136,435,599,539,685,464,605,931,529,805,847,374,205,064,860,005,
978,029,988,521,439,624,402,804,975,544,359,888,157,633,124,761,374,721,656,
693,732,607,325,482,701,260,537,764,842,049,606,055,464,308,009,407,429,571,
590,002,364,133,826,663,058,626,497,007,569,958,086,163,402,800,924,511,228,
541,094,983,934,012,517,865,888,272,521,406,800,222,146,348,551,891,069,086,
946,278,816,570,051,181,004,421,105,062,003,858,586,484,242,067,425,037,917,
356,432,219,781,350,412,379,981,617,749,085,810,252,948,512,347,758,585,213,
386,605,242,700,677,981,830,929,464,975,665,639,035,681,233,801,235,213,363,
529,946,110,643,580,517,194,603,931,001,298,212,894,808,027,669,815,046,647,
542,927,288,751,841,113,526,492,404,447,097,111,866,700,208,844,564,851,913,
059,775,122,478,019,143,881,625,876,202,047,991,956,807,939,552,735,672,881,
795,922,659,505,349,797,212,718,171,215,862,549,323,007,575,424,396,025,900,
951,241,120,969,972,776,985,785,852,159,986,754,014,558,546,246,477,867,112,
828,970,208,147,039,657,081,962,996,712,694,875,077,611,950,805,212,331,194,
086,782,163,646,393,208,740,086,378,005,335,829,662,568,890,347,157,350,263,
057,801,048,443,168,023,584,165,850,495,515,569,156,315,271,561,419,477,034,
338,511,042,891,178,239,081,098,536,702,647,392,448,162,426,132,278,018,849,
059,078,718,565,673,734,686,393,347,905,474,092,120,048,115,807,049,737,066,
604,349,413,102,105,992,356,930,245,557,823,759,983,685,270,119,449,259,765,
339,967,611,333,004,002,377,307,415,600,290,764,090,590,121,263,767,363,673,
138,461,296,869,598,699,440,879,214,771,024,065,345,590,849,610,525,816,766,
067,225,540,443,898,852,073,167,430,945,660,442,172,792,351,550,151,026,240,
675,972,446,614,127,104,062,318,424,669,392,912,172,404,466,071,927,516,339,
398,374,266,145,047,933,835,207,321,585,975,744,961,829,349,335,925,472,688,
970,666,550,154,955,371,437,801,382,503,328,186,639,049,948,120,550,478,691,
127,134,088,525,448,763,114,305,022,848,330,187,971,288,216,144,529,875,505,
162,023,143,206,094,607,286,243,398,653,107,264,036,389,797,520,279,148,584,
804,015,167,239,981,438,048,774,478,747,976,228,419,441,744,065,088,519,701,
934,866,428,958,888,562,342,424,475,833,168,677,030,311,009,895,930,400,437,
132,823,828,361,861,584,424,571,198,366,239,121,465,943,200,855,002,082,838,
492,663,626,800,296,520,695,557,318,091,604,058,980,507,536,195,659,908,257,
571,121,844,615,680,639,139,628,945,915,947,056,623,786,838,071,131,433,377,
225,233,228,822,698,488,654,420,756,451,641,314,655,054,019,149,162,109,792,
327,935,970,320,660,986,381,361,957,432,448,883,768,141,143,498,233,565,460,
677,471,575,798,726,879,894,742,911,621,685,761,026,645,996,643,090,073,279,
943,767,169,197,287,608,111,892,894,201,544,698,820,255,061,867,962,639,776,
246,302,551,120,767,474,826,914,655,896,449,580,132,223,871,587,578,723,357,
910,977,678,466,013,495,850,538,595,542,966,880,757,212,911,355,579,522,497,
256,927,159,389,175,856,726,366,369,747,030,047,930,432,930,509,861,369,120,
024,222,755,220,700,885,218,408,721,779,696,156,474,228,831,145,352,152,405,
013,056,547,382,980,826,083,592,143,954,024,218,305,514,978,438,237,437,490,
457,482,921,395,356,442,855,912,240,353,537,183,189,702,103,295,440,266,780,
948,713,377,636,686,642,932,480,340,124,572,303,140,731,905,194,285,707,061,
856,232,395,763,727,961,873,440,820,567,608,237,709,998,184,503,617,624,423,
540,588,677,997,123,450,701,913,322,499,372,678,605,864,857,405,725,313,754,
379,634,004,688,079,117,381,865,763,879,856,768,071,898,722,228,950,757,012,
458,916,005,805,053,887,241,905,010,580,669,564,141,071,891,535,158,634,647,
362,658,094,158,057,859,178,557,727,598,868,170,176,406,751,265,298,761,076,
920,774,038,270,875,584,601,554,232,711,882,585,102,425,319,252,489,754,491,
438,119,441,405,069,719,444,636,326,003,636,579,353,725,213,386,249,019,709,
824,966,630,390,016,306,052,746,000,460,311,622,484,788,222,983,587,179,249,
064,644,876,386,740,746,619,755,359,721,360,743,104,334,712,475,072,014,697,
574,807,542,812,743,638,700,995,895,609,400,999,531,775,182,645,618,604,254,
866,715,546,257,156,624,155,256,562,305,432,807,604,914,072,917,962,080,541,
944,975,142,412,513,207,704,339,743,764,676,771,136,396,755,225,458,526,275,
294,210,447,211,183,580,439,216,981,576,613,385,307,384,004,840,292,748,496,
966,610,586,597,076,186,003,827,128,525,679,431,555,522,563,876,021,766,636,
691,595,968,555,749,096,486,336,474,237,765,174,771,919,122,870,643,361,750,
112,743,355,696,948,840,940,244,309,740,351,920,142,025,057,852,594,604,480,
260,973,399,511,217,014,116,318,149,957,330,095,707,024,386,149,017,386,697,
173,103,395,711,694,235,159,538,501,032,062,292,364,339,158,392,632,968,832,
864,258,243,877,094,136,007,276,240,362,103,538,868,687,952,332,619,908,948,
404,613,801,991,347,874,393,416,046,339,943,278,948,965,055,069,029,146,934,
316,079,419,508,978,004,108,962,359,001,519,599,794,962,466,847,726,529,841,
818,467,931,896,198,058,345,045,291,613,296,738,022,935,289,364,541,554,903,
369,641,821,222,824,704,389,243,286,356,657,501,596,529,626,008,942,026,357,
403,001,529,868,127,194,798,020,414,939,868,431,620,661,706,511,381,242,956,
655,932,732,629,593,249,912,447,134,993,817,227,309,849,065,877,031,608,477,
200,311,576,197,935,028,485,439,257,605,257,376,360,139,090,591,663,862,102,
939,603,097,778,013,128,368,927,504,688,128,826,353,437,339,957,421,376,842,
674,255,773,749,814,116,026,129,398,997,835,778,166,052,732,124,521,681,510,
926,374,778,308,681,159,829,183,077,298,451,464,382,773,597,298,383,407,670,
740,240,086,460,989,379,711,847,581,996,354,479,403,714,202,504,371,392,231,
710,599,280,204,087,199,549,702,072,975,196,858,195,726,797,759,417,484,430,
273,721,033,056,477,990,338,538,729,749,689,157,931,389,511,553,243,588,514,
274,529,778,110,544,811,350,286,600,593,774,702,387,362,588,996,956,737,695,
458,428,653,137,243,110,534,331,282,176,370,242,984,017,925,971,910,830,108,
159,851,542,871,727,205,754,054,948,595,267,177,036,159,368,569,931,367,430,
779,218,354,013,770,063,372,721,649,080,068,353,702,498,118,278,718,267,837,
633,133,947,901,496,446,025,270,547,366,392,514,297,184,447,312,543,421,723,
838,638,765,104,674,683,762,617,772,558,499,782,017,001,871,897,877,433,559,
675,938,685,245,724,738,703,395,694,285,151,842,146,570,390,851,062,428,348,
618,153,325,441,017,428,286,936,292,808,420,922,696,559,288,150,330,077,162,
552,087,542,579,799,982,885,001,598,805,189,774,773,045,554,712,791,541,429,
208,090,229,237,580,908,619,180,011,149,811,751,936,219,638,861,723,933,741,
117,430,642,133,195,414,275,557,195,566,568,982,225,790,076,797,576,446,899,
751,910,336,776,242,932,413,900,004,037,063,579,445,655,804,173,620,163,980,
581,285,350,611,353,180,024,110,957,043,327,272,956,771,514,312,757,838,984,
576,906,782,243,810,005,656,161,341,315,262,148,374,954,018,967,056,713,503,
503,807,098,241,996,410,204,375,613,238,302,422,156,331,543,307,253,997,538,
284,647,575,199,449,208,982,245,515,557,749,602,409,545,890,657,847,679,214,
819,942,278,602,528,126,000,132,979,760,855,671,178,123,564,756,004,578,161,
812,153,444,619,710,365,691,053,911,795,292,464,931,565,629,390,490,463,047,
804,426,533,982,521,479,175,368,155,445,870,056,826,516,616,512,226,922,431,
118,066,862,202,890,105,662,087,108,337,800,608,985,939,613,669,493,794,726,
758,138,521,163,143,239,146,225,626,246,663,347,589,707,865,429,224,144,595,
238,791,003,067,714,324,197,938,339,425,367,644,401,855,983,776,100,562,230,
129,910,728,115,854,964,414,217,634,952,389,083,539,999,171,531,312,796,847,
549,854,911,518,354,206,877,925,253,749,515,525,072,674,323,506,840,231,926,
527,305,079,920,862,260,164,052,465,764,918,523,091,992,301,063,348,918,064,
274,633,428,981,168,222,148,710,959,775,567,469,434,194,760,053,818,200,766,
058,568,768,370,892,047,817,314,182,590,730,697,426,548,368,633,052,819,838,
808,864,007,534,929,361,083,985,949,901,147,966,808,056,781,545,036,420,965,
733,606,090,820,690,750,473,310,179,614,644,391,624,504,467,918,196,747,972,
168,097,375,707,550,695,690,324,069,981,907,554,181,317,420,843,170,028,075,
810,289,404,064,026,053,200,826,635,324,714,229,667,984,607,361,009,526,566,
146,111,613,280,587,651,327,533,362,766,290,138,677,140,361,468,858,721,148,
213,019,369,214,294,340,208,943,349,818,245,120,960,911,064,032,236,958,159,
604,758,071,025,228,700,087,554,195,206,815,650,781,338,793,850,389,400,658,
050,788,655,581,268,102,796,858,313,557,954,445,277,579,409,123,713,104,329,
151,153,391,029,321,124,327,131,660,867,972,099,647,253,747,332,339,580,141,
816,620,275,194,314,233,042,090,737,198,783,213,607,610,505,349,166,784,331,
166,208,107,307,893,350,376,720,078,091,746,743,436,393,435,612,518,534,008,
397,324,353,861,137,550,846,590,639,464,909,150,992,026,658,927,094,581,645,
974,357,440,221,739,250,153,223,985,459,032,099,535,886,024,685,397,870,857,
738,444,681,096,620,771,713,944,765,060,752,944,922,884,731,602,132,705,293,
527,075,377,992,712,649,593,090,145,379,681,952,353,979,708,919,952,044,025,
385,698,909,306,798,068,916,277,766,526,605,367,394,793,076,005,257,358,842,
399,603,080,678,780,047,292,784,962,255,340,611,404,944,701,790,168,488,774,
477,273,105,324,038,396,133,677,714,360,264,331,649,173,642,002,879,069,535,
722,210,615,671,289,747,983,938,653,673,676,219,127,849,216,187,445,478,139,
152,261,168,038,782,150,849,119,237,472,992,438,865,225,778,867,826,343,632,
302,716,789,481,686,074,182,153,399,317,251,233,649,250,289,959,342,031,828,
774,789,097,192,600,313,717,321,168,856,609,902,068,153,472,875,218,441,003,
624,626,325,598,532,664,942,775,853,414,565,978,723,650,615,258,260,270,636,
489,214,870,753,096,095,806,173,149,231,327,835,156,678,792,646,842,537,624,
103,698,577,185,069,085,568,231,095,762,362,409,741,895,129,657,209,460,604,
820,091,390,659,392,179,096,017,430,493,955,992,815,407,409,034,419,658,868,
728,969,633,564,371,948,420,612,017,229,929,722,333,685,102,782,158,779,832,
818,166,391,397,643,964,481,045,843,606,447,427,433,802,183,272,852,133,796,
803,700,832,890,399,676,233,082,226,212,426,997,894,920,536,908,219,245,320,
353,927,427,457,488,814,969,745,811,615,238,973,886,257,126,935,337,347,317,
777,784,107,988,848,499,682,656,242,492,598,952,731,552,275,163,923,224,335,
256,197,037,022,968,798,047,504,272,547,433,478,386,164,407,118,772,158,371,
702,215,830,326,524,265,726,943,502,065,362,903,624,301,224,141,778,928,465,
189,255,358,701,047,994,424,955,140,264,753,497,820,637,865,999,714,653,010,
343,170,957,682,126,833,020,329,418,550,670,970,414,212,591,740,646,318,011,
606,317,796,339,232,438,407,164,019,122,576,185,854,749,068,497,001,390,306,
877,202,942,419,912,430,360,417,818,461,766,134,460,046,824,171,185,268,829,
930,685,401,096,444,401,930,504,531,122,536,725,089,525,032,702,964,962,706,
095,994,157,888,798,307,505,693,888,560,673,838,426,427,189,295,146,270,585,
030,864,124,424,504,404,628,658,937,413,531,075,047,903,571,326,706,640,335,
085,562,035,764,651,627,896,767,165,377,138,218,172,437,850,665,434,234,578,
367,153,998,126,519,727,729,484,001,499,590,224,400,214,962,178,909,606,336,
919,815,002,632,262,817,447,701,913,760,004,116,221,402,615,888,746,018,568,
552,899,177,088,422,341,095,277,883,715,919,680,212,587,482,227,366,673,042,
344,278,653,142,351,119,516,396,406,242,105,020,066,431,892,569,518,750,102,
803,766,962,162,346,366,547,646,970,211,076,066,823,374,291,497,118,672,049,
299,892,798,090,047,431,569,114,881,087,370,350,522,081,783,400,800,748,636,
159,713,236,778,664,729,826,419,098,481,416,885,385,702,920,150,759,085,882,
070,466,999,894,166,977,358,861,328,659,765,348,123,987,697,267,420,472,488,
834,981,963,173,574,679,158,182,272,658,706,661,991,829,977,523,346,747,833,
799,414,557,752,219,227,210,267,715,499,865,745,372,371,045,653,741,127,147,
285,675,372,897,135,864,182,977,319,723,880,835,529,764,722,066,793,474,628,
962,694,999,014,521,058,864,199,185,064,030,719,095,470,834,396,465,690,273,
839,338,239,051,968,095,885,073,298,447,645,361,371,909,917,402,310,180,308,
735,466,491,535,381,224,554,780,654,091,137,546,517,808,842,162,681,267,112,
405,263,615,166,100,841,447,003,717,580,806,625,944,456,894,934,233,914,905,
995,124,254,827,751,115,323,043,901,530,255,644,589,466,387,768,023,505,627,
227,357,195,325,105,022,977,493,001,836,839,488,044,192,873,994,898,968,419,
181,223,775,984,019,412,138,321,194,846,286,818,300,318,922,634,473,597,210,
761,157,453,248,302,086,187,990,090,033,571,489,449,527,656,197,700,098,345,
298,486,700,069,965,062,388,200,891,223,119,193,594,263,881,913,437,543,709,
079,427,504,498,644,245,946,097,942,179,522,987,621,016,191,421,783,997,670,
976,439,659,290,557,886,837,910,747,595,109,796,348,564,925,719,250,618,613,
904,828,290,133,412,672,112,837,396,229,303,345,141,114,782,035,658,104,933,
469,860,067,585,831,386,160,647,894,043,604,919,311,630,329,403,857,991,199,
134,610,156,593,582,775,927,608,140,699,926,991,080,315,768,419,082,754,675,
045,860,035,898,994,857,355,266,041,721,193,161,488,784,856,971,183,401,487,
276,771,071,889,973,725,803,139,192,277,525,002,123,391,053,693,158,039,578,
530,599,105,880,464,808,152,619,580,621,700,867,854,292,442,046,722,027,040,
302,934,972,039,899,351,848,523,693,780,833,252,605,023,429,807,496,354,565,
188,261,081,941,147,028,640,001,478,952,462,136,438,415,375,595,058,259,196,
557,001,801,381,044,019,596,734,688,016,094,713,103,355,320,399,854,735,065,
242,636,712,593,126,564,337,088,042,407,630,317,374,521,719,674,928,404,003,
032,291,498,436,986,901,635,110,487,163,128,472,161,723,349,201,650,846,235,
662,972,926,857,988,350,200,599,361,033,598,637,922,630,895,575,650,827,036,
095,991,937,317,139,656,927,966,507,431,428,697,930,643,040,732,631,820,450,
745,973,611,469,259,175,277,218,655,879,708,954,276,037,175,452,509,775,159,
600,821,028,730,816,722,690,700,568,311,553,320,124,165,709,714,662,090,816,
477,024,064,194,011,696,245,289,059,586,553,477,812,904,123,999,211,769,190,
697,905,047,384,745,419,921,389,231,883,729,173,442,371,908,678,282,204,386,
100,609,553,331,575,920,857,190,167,924,204,261,236,627,166,786,992,506,632,
187,950,153,579,635,141,673,404,335,755,336,903,765,863,459,941,503,915,828,
642,214,714,064,986,936,046,199,293,261,689,191,188,865,246,207,309,133,785,
799,785,356,791,550,069,658,485,918,097,274,641,026,660,188,270,411,600,863,
333,017,856,852,234,809,875,504,748,816,451,645,391,131,453,252,101,841,949,
356,210,541,583,233,935,614,662,196,606,830,916,862,133,872,282,078,850,366,
627,423,109,213,321,103,342,672,169,889,933,715,484,445,154,443,913,594,070,
094,695,245,942,404,785,964,352,957,219,453,840,284,149,926,637,020,471,969,
180,391,166,311,314,011,008,240,518,383,280,006,781,170,764,226,611,873,905,
779,953,497,288,162,428,150,345,295,815,193,424,337,846,421,726,030,585,198,
341,893,497,680,446,326,984,699,104,128,985,568,598,372,449,574,320,058,556,
358,692,113,720,412,702,839,129,947,039,327,425,767,019,011,889,625,846,173,
350,541,006,456,510,215,977,977,327,302,659,463,665,551,255,380,580,466,037,
241,807,175,781,715,687,920,849,075,847,486,217,794,538,323,144,101,642,465,
723,355,299,469,942,354,601,884,243,298,350,137,453,793,516,085,472,359,654,
360,133,759,334,739,296,703,774,237,483,736,088,104,544,792,461,641,573,118,
189,257,614,724,641,761,500,360,483,224,572,291,146,485,733,505,078,147,160,
090,449,610,365,237,662,672,782,778,507,509,957,797,232,103,642,014,546,065,
023,004,239,462,780,962,567,385,893,684,093,657,961,550,512,710,689,496,965,
751,143,942,911,847,226,327,538,683,190,986,192,883,657,261,102,426,241,988,
862,927,674,123,208,204,391,471,207,976,694,620,770,773,524,167,458,835,641,
655,833,675,952,804,823,325,882,018,890,070,601,387,078,804,373,614,274,328,
582,841,596,556,594,678,828,969,653,299,712,997,199,173,577,693,114,803,724,
617,975,784,717,024,972,403,134,632,648,698,902,052,579,286,717,397,905,679,
210,451,438,651,139,891,009,609,007,244,130,618,685,780,384,721,560,288,636,
573,796,111,073,103,424,397,458,546,969,714,470,150,867,237,748,464,132,878,
194,429,274,481,795,276,609,568,268,865,568,401,411,725,277,582,650,281,782,
433,824,431,890,951,516,229,631,977,050,696,784,710,373,621,777,184,188,637,
437,064,267,356,106,883,498,797,360,926,059,215,150,605,627,102,100,589,518,
190,878,184,008,840,855,382,315,881,962,914,507,210,733,584,877,307,154,099,
603,940,673,968,757,370,123,158,193,600,918,065,364,449,348,224,898,781,004,
991,042,319,165,858,567,949,324,903,202,633,153,297,795,767,205,709,547,956,
477,359,161,754,492,926,330,109,808,501,476,283,989,346,163,567,056,863,177,
067,743,273,110,670,056,367,347,451,987,496,666,526,043,178,776,056,700,998,
946,509,499,056,316,950,343,396,739,174,536,951,501,443,692,055,443,997,859,
903,176,193,221,806,153,510,856,900,351,906,226,550,997,514,406,424,931,220,
653,189,172,211,407,535,828,580,197,860,093,324,130,511,580,399,508,413,956,
065,022,012,625,320,613,500,026,806,333,516,870,277,908,785,384,106,944,449,
093,642,538,886,076,166,425,411,626,470,759,145,664,724,141,731,310,460,163,
639,841,721,674,578,190,913,842,447,626,186,852,583,921,143,890,088,194,969,
878,647,399,785,040,283,869,265,692,900,999,594,156,310,513,292,440,684,504,
419,249,925,524,363,172,540,987,453,679,016,778,876,549,472,435,143,356,987,
387,342,150,540,384,333,817,486,181,993,197,702,377,569,490,936,575,806,961,
772,343,341,859,283,042,184,205,930,857,089,253,082,257,257,821,991,292,383,
506,693,761,614,045,974,894,513,183,009,823,807,442,520,857,821,213,893,787,
397,344,246,183,630,601,701,109,312,891,562,199,940,798,839,334,433,022,991,
183,808,996,532,290,221,756,752,763,039,716,257,014,148,576,648,422,770,385,
731,158,497,360,557,828,782,064,602,415,202,212,028,857,503,728,276,252,095,
122,285,570,720,138,752,827,746,865,010,012,212,854,816,484,959,548,188,715,
609,399,059,898,112,208,912,687,064,498,786,094,162,716,711,814,646,943,113,
573,564,861,741,019,550,781,423,700,045,171,563,626,259,759,345,819,568,137,
663,297,582,354,170,942,235,837,010,639,228,831,781,274,998,821,545,476,169,
145,723,642,815,752,456,934,949,202,310,561,128,932,790,849,472,188,379,364,
414,292,353,724,209,698,374,071,991,273,437,576,948,236,141,313,377,447,463,
969,718,778,873,266,016,697,889,941,602,107,002,078,718,595,826,691,333,960,
015,819,640,008,434,293,493,384,528,344,575,754,078,189,486,422,462,425,718,
334,302,388,559,151,658,879,887,164,216,753,493,465,757,061,276,604,226,187,
233,442,158,187,645,304,046,382,616,414,693,009,062,235,320,700,582,041,617,
069,086,163,608,393,443,357,532,709,654,027,057,457,157,533,552,525,289,742,
470,377,789,429,635,575,568,714,186,887,292,303,901,269,985,156,269,215,575,
769,650,284,800,141,607,358,001,258,413,164,694,033,387,462,420,857,553,760,
495,649,634,024,098,970,122,742,531,908,564,541,111,316,462,412,187,885,299,
807,915,914,788,179,130,502,453,107,627,078,168,789,151,408,787,277,551,135,
525,650,785,852,436,809,662,736,375,496,732,434,864,602,198,869,083,748,954,
456,298,674,714,126,533,251,375,888,416,661,825,924,364,454,262,913,933,949,
447,862,493,592,517,709,883,745,256,475,482,136,960,175,273,976,171,750,715,
373,180,691,562,618,601,971,138,561,005,868,149,934,951,585,169,656,010,140,
609,285,327,016,276,368,178,998,347,916,560,784,804,913,510,554,464,678,355,
814,813,541,546,185,381,321,914,793,204,684,257,509,208,531,819,169,428,199,
269,137,208,044,363,154,947,589,759,985,758,237,172,369,384,943,825,782,610,
123,744,674,763,383,805,653,541,035,134,786,927,197,355,744,938,223,751,589,
849,676,010,445,645,908,499,283,387,218,385,038,517,304,038,013,299,109,008,
851,561,473,767,911,988,041,454,395,075,200,163,330,896,621,730,601,643,657,
593,092,814,789,932,030,231,210,484,620,783,707,769,492,548,076,816,621,515,
598,780,810,238,025,700,151,586,628,321,370,261,473,347,691,306,905,505,042,
995,873,955,460,584,885,683,919,036,448,180,264,540,257,470,974,358,343,410,
852,694,245,323,544,897,809,681,118,520,149,302,041,479,367,643,549,846,232,
812,862,168,739,807,176,360,393,140,079,680,665,500,874,109,128,369,354,070,
742,927,325,769,420,416,652,138,591,234,236,338,330,771,446,694,270,334,876,
216,230,115,963,394,453,883,929,094,443,554,151,042,940,041,783,294,855,119,
553,561,532,053,145,365,181,107,880,086,682,598,105,179,528,759,871,285,807,
314,085,416,445,891,644,937,036,032,844,464,622,382,344,813,608,288,710,570,
920,501,474,601,683,638,717,015,422,657,977,846,927,258,263,172,693,799,072,
804,289,419,849,183,322,708,021,354,717,446,803,178,700,271,876,914,601,004,
528,480,452,038,317,021,581,868,230,952,405,227,655,555,500,713,257,948,715,
589,712,856,549,391,339,457,983,389,916,101,675,859,680,980,871,258,261,532,
106,469,151,196,945,000,256,202,873,190,930,653,818,345,292,415,930,476,854,
085,529,683,668,970,161,699,615,216,931,537,375,349,185,251,031,401,775,100,
304,719,053,557,699,020,142,388,541,556,568,246,053,517,065,100,444,822,299,
026,484,281,242,401,861,429,304,733,519,016,854,081,450,489,566,391,237,269,
041,059,084,008,272,174,197,413,023,374,222,184,487,283,936,232,773,056,887,
993,593,414,087,015,389,939,290,839,917,380,079,586,037,755,595,530,081,609,
501,950,186,642,381,500,758,128,787,381,742,669,806,560,782,102,379,047,482,
708,383,730,231,544,149,559,886,050,054,105,182,730,973,651,657,837,390,405,
816,086,005,690,612,885,968,631,705,462,842,477,843,991,105,921,989,764,298,
595,131,497,500,302,520,302,441,284,037,418,444,248,337,174,915,915,375,597,
963,729,611,581,822,614,045,752,344,925,894,366,119,648,647,207,993,309,393,
710,584,170,617,689,992,588,674,564,976,995,661,635,359,006,634,743,370,635,
693,530,639,055,420,518,870,137,227,411,393,578,754,790,073,894,876,819,572,
405,799,716,090,596,258,656,899,335,253,303,367,323,618,085,400,704,077,957,
500,009,072,668,405,398,806,770,704,068,882,153,954,462,121,054,957,925,219,
867,661,559,909,719,918,728,872,694,428,587,544,765,063,743,953,359,676,024,
777,663,936,908,728,230,620,592,247,188,499,216,365,424,186,333,393,322,554,
820,390,767,345,391,547,635,815,895,959,928,686,907,862,699,616,408,066,571,
672,600,395,074,186,671,080,517,457,705,974,862,714,409,124,158,214,310,941,
042,446,818,255,841,190,739,240,999,779,992,048,830,170,661,250,856,183,891,
847,861,707,246,725,426,198,232,188,882,780,043,480,129,674,005,573,130,686,
189,299,769,482,046,379,211,954,669,215,553,310,630,346,945,052,888,979,289,
534,710,330,928,643,290,743,569,626,435,148,263,030,878,958,639,961,012,178,
905,262,986,711,487,669,840,372,956,956,092,132,199,667,942,216,971,390,470,
681,212,724,861,384,328,523,999,049,081,923,498,274,498,848,773,653,347,180,
389,919,492,563,001,914,154,912,116,000,757,281,608,504,166,208,236,636,179,
260,219,967,271,276,036,421,650,650,307,852,755,753,182,462,570,201,056,045,
917,781,157,674,953,332,289,641,499,184,636,227,998,322,731,385,169,687,753,
036,455,440,773,920,328,219,840,901,318,652,484,520,935,256,906,493,631,810,
706,024,644,902,101,474,733,323,215,264,847,594,885,693,386,444,274,237,332,
254,389,322,506,638,754,748,014,462,736,834,881,263,391,597,890,795,197,791,
392,705,277,555,197,150,501,933,932,436,046,558,668,443,514,322,161,993,287,
895,561,326,128,136,204,985,698,518,709,094,435,214,775,078,498,877,749,550,
962,048,356,793,644,326,928,177,957,608,515,787,520,237,042,910,713,727,216,
247,595,100,307,260,560,620,181,816,358,709,288,171,039,897,975,742,500,135,
466,814,121,125,743,802,069,844,934,130,736,625,893,042,177,765,495,230,758,
764,818,011,152,876,945,318,259,715,774,128,271,999,638,433,940,240,619,174,
937,801,215,280,547,173,729,481,131,401,856,252,867,406,345,529,266,702,905,
436,211,325,216,348,453,558,266,484,097,138,715,797,706,055,067,584,012,135,
437,274,818,527,626,860,225,108,685,315,242,871,206,313,901,151,603,486,727,
685,646,557,357,006,040,674,850,089,416,008,206,477,857,859,060,228,988,839,
123,670,077,332,249,610,240,555,179,685,267,562,297,409,065,085,540,145,654,
324,589,172,424,115,696,547,826,227,571,937,998,992,932,993,097,313,677,434,
024,050,864,674,052,685,402,148,508,886,208,745,925,196,422,513,433,785,130,
707,365,238,476,830,449,932,560,732,203,984,398,197,677,616,968,788,660,678,
480,498,213,139,501,014,565,325,262,839,176,956,769,104,196,283,947,900,838,
847,082,352,571,394,166,041,112,908,612,604,503,867,502,990,852,615,608,624,
445,055,697,345,740,490,418,466,768,546,556,403,669,760,455,977,719,790,646,
545,899,234,269,544,750,266,827,030,723,243,644,036,473,277,613,817,713,886,
698,450,824,875,157,204,468,083,539,629,240,842,806,466,969,520,285,700,471,
357,572,060,888,153,415,738,816,485,601,578,693,556,740,860,112,229,110,606,
274,322,283,916,811,113,120,787,120,452,820,531,554,580,603,199,742,008,498,
223,372,096,186,968,677,938,803,938,343,623,206,121,941,167,162,565,473,568,
293,784,784,343,131,474,550,780,449,534,470,999,228,853,243,811,380,163,239,
751,730,585,094,907,210,201,931,835,168,769,695,151,611,536,517,040,313,201,
904,247,675,091,386,502,575,148,379,581,398,809,053,262,146,890,061,467,063,
858,916,431,968,193,194,528,775,535,526,899,174,129,567,921,915,378,571,524,
960,482,085,697,153,376,770,141,247,281,465,237,541,797,890,369,700,872,897,
782,844,284,575,796,644,649,114,878,433,061,076,305,119,085,671,613,219,696,
664,463,138,889,120,652,473,405,711,551,343,672,535,096,518,786,226,062,767,
749,808,899,072,649,638,207,654,760,020,218,164,193,788,530,161,957,708,280,
851,515,878,754,834,542,997,779,780,914,950,803,739,494,893,298,583,610,019,
974,789,987,583,520,691,837,467,728,143,432,506,375,885,008,973,087,793,613,
896,949,402,075,851,372,910,716,593,604,743,903,249,113,205,964,892,051,981,
986,340,012,681,235,773,545,847,605,452,258,901,882,606,330,635,699,193,874,
473,071,323,115,209,931,770,429,709,345,442,400,008,099,806,886,483,662,828,
370,033,118,474,290,394,832,456,925,824,393,495,517,667,773,990,325,458,091,
665,524,313,383,524,240,626,080,371,242,901,167,203,383,234,338,760,734,541,
347,007,303,502,706,311,288,792,171,073,689,288,496,980,402,570,490,261,889,
522,375,428,762,050,317,677,926,100,712,626,199,476,475,118,832,830,039,446,
712,659,652,441,086,442,319,316,964,098,524,974,938,504,663,064,848,542,553,
623,428,395,328,279,214,198,338,476,676,383,247,107,587,433,412,817,751,004,
417,815,794,465,050,076,928,321,484,853,400,328,206,441,394,538,950,788,966,
505,231,692,625,017,990,915,922,174,332,214,270,651,934,933,480,977,994,812,
869,771,314,403,668,943,080,066,307,124,458,731,421,059,294,598,914,915,012,
519,020,524,466,447,022,624,458,245,685,779,769,814,868,028,135,414,754,823,
894,274,669,636,046,327,168,993,953,050,341,368,057,078,854,964,534,372,258,
424,227,655,637,262,286,732,143,142,288,083,394,753,238,040,336,534,891,416,
618,140,566,726,203,014,700,213,323,756,032,423,702,448,637,040,408,757,789,
722,472,051,777,817,445,415,454,507,876,617,499,797,251,608,134,097,165,929,
145,343,436,129,308,444,927,260,494,293,054,836,345,785,559,899,666,299,182,
663,616,973,548,389,463,697,153,066,365,022,253,884,210,775,740,936,964,887,
914,809,942,837,635,144,514,387,680,089,439,688,674,161,862,576,821,703,002,
998,399,655,338,027,927,718,828,874,526,891,374,726,640,479,469,825,949,541,
810,895,191,626,523,226,376,033,073,154,739,104,465,192,177,354,302,998,172,
198,217,229,345,262,227,260,629,244,954,762,297,310,042,436,297,704,116,683,
037,369,881,510,453,111,067,611,910,701,497,927,409,498,185,988,511,352,562,
928,135,724,106,611,446,597,954,496,292,708,413,335,148,011,731,844,091,314,
447,936,432,320,848,228,906,409,837,497,162,056,522,441,419,073,026,473,659,
319,871,520,353,926,624,473,475,134,344,524,453,054,816,740,919,347,156,788,
623,017,768,979,576,309,889,054,017,102,677,733,509,733,086,651,999,323,846,
056,764,697,399,809,605,483,271,397,905,728,085,029,905,385,598,944,414,272,
982,022,271,027,921,543,006,856,478,421,132,658,099,181,328,431,953,223,253,
595,163,570,635,881,351,216,562,336,510,727,090,133,344,158,867,588,797,855,
576,666,508,346,508,077,815,288,505,520,276,444,208,278,270,925,996,235,063,
169,405,429,171,777,162,518,676,618,519,653,034,530,973,067,750,671,339,080,
308,993,080,601,225,444,571,000,934,929,840,772,554,478,914,220,675,181,247,
787,786,236,104,885,138,782,387,806,942,100,514,016,202,615,899,002,862,814,
625,805,754,586,306,576,062,670,719,494,737,417,381,978,794,241,060,360,825,
833,649,634,348,602,725,114,120,152,475,370,352,940,486,720,660,889,460,663,
824,267,807,657,256,459,026,303,853,393,797,955,878,893,967,790,004,287,058,
190,533,084,122,569,184,612,373,173,187,792,718,659,808,318,106,040,267,457,
701,928,145,935,343,484,533,759,888,724,758,660,855,226,150,677,650,247,404,
780,591,862,754,106,604,916,600,226,791,185,257,371,002,725,036,661,281,061,
239,791,009,912,424,178,480,658,686,821,212,970,435,142,675,476,707,756,154,
110,757,349,147,196,419,200,577,891,271,589,577,507,848,102,937,112,173,320,
730,144,625,763,924,489,149,504,754,572,841,843,241,942,348,467,306,066,581,
606,603,405,014,633,284,586,387,721,152,993,446,425,907,294,901,270,907,224,
754,853,654,982,201,140,911,184,645,615,386,310,495,084,545,691,945,998,559,
306,944,449,387,029,560,913,215,223,555,705,828,425,470,951,998,865,670,472,
809,374,914,296,156,043,592,246,785,109,723,583,752,809,088,887,286,425,830,
469,006,386,299,211,176,537,551,597,805,361,936,727,537,495,579,481,412,475,
694,229,622,409,147,339,839,831,999,019,718,081,473,115,006,700,581,789,883,
642,372,363,463,917,896,437,792,115,755,614,358,225,426,738,495,253,057,533,
798,669,956,910,152,549,048,831,903,745,453,784,908,609,778,405,555,629,038,
729,937,879,856,063,882,651,807,991,798,438,657,228,678,776,378,907,527,049,
546,295,458,763,605,457,542,827,408,015,678,018,536,487,462,404,532,563,603,
762,340,821,245,955,986,453,335,915,075,066,112,144,323,241,555,598,494,216,
902,289,011,112,914,220,002,087,638,805,876,725,789,154,057,438,709,940,678,
924,638,290,380,783,568,022,162,607,998,371,954,631,529,628,961,294,589,426,
171,567,743,485,343,918,618,923,220,938,234,338,979,634,133,979,154,612,690,
078,673,283,543,638,589,135,015,533,998,840,701,645,347,116,700,401,647,726,
956,763,260,797,449,846,306,185,927,910,804,676,975,388,315,084,680,985,339,
906,869,598,518,791,073,511,645,596,715,081,491,701,915,363,900,937,641,501,
080,633,070,620,887,859,002,386,892,900,546,403,583,102,450,735,449,728,572,
553,685,153,968,182,797,785,644,169,440,445,029,759,572,792,907,398,785,630,
431,243,516,646,024,392,417,999,980,227,497,123,600,161,696,014,434,453,294,
752,235,485,113,068,746,950,474,169,929,137,585,473,162,250,160,075,719,790,
870,578,410,193,768,919,893,112,016,373,385,066,657,041,458,329,438,090,912,
520,746,511,821,060,056,243,625,082,403,671,069,445,259,056,746,063,399,977,
890,313,008,048,825,449,652,598,409,778,915,876,794,084,841,060,730,994,245,
875,205,884,381,815,930,657,572,036,607,332,115,560,931,417,093,173,073,677,
477,519,364,345,143,744,522,491,228,037,417,433,009,973,103,126,046,369,005,
423,235,679,934,408,712,940,514,064,109,138,837,173,783,428,024,056,706,112,
389,956,244,763,958,318,290,457,118,477,043,135,046,977,579,453,160,554,417,
838,376,865,632,522,872,431,137,801,283,300,968,394,637,961,945,981,342,198,
987,364,108,641,690,366,670,525,004,929,480,757,602,596,282,038,929,960,124,
364,805,928,123,372,376,613,730,508,894,064,652,293,210,537,554,138,888,199,
721,707,101,412,238,564,755,268,444,402,402,746,873,018,959,124,984,855,516,
067,663,226,731,383,111,150,211,915,591,662,477,512,070,423,849,315,280,305,
515,323,817,727,719,530,609,918,706,135,569,118,455,620,930,428,406,315,271,
640,575,052,695,073,489,887,922,005,747,129,629,929,473,385,872,654,090,954,
438,144,607,008,593,427,524,904,543,502,029,212,555,048,203,212,017,182,171,
238,025,934,129,849,235,252,953,848,013,293,686,604,668,555,898,641,164,619,
412,594,301,455,074,874,755,143,917,258,720,974,484,920,275,472,594,200,329,
411,327,423,915,107,545,838,897,883,100,366,314,144,770,674,715,564,940,336,
780,054,852,045,668,054,942,111,134,776,599,597,719,999,010,547,225,892,283,
680,083,212,572,823,800,942,069,964,938,959,828,946,265,563,087,502,416,858,
760,906,979,995,179,396,883,791,656,403,746,031,157,829,720,825,540,455,154,
331,558,514,476,559,569,114,005,000,234,463,550,166,001,129,396,055,263,947,
242,882,042,308,836,854,254,531,911,399,130,637,531,520,534,183,404,640,942,
088,660,105,511,458,296,034,729,361,533,578,999,641,842,996,058,855,974,531,
450,833,516,430,786,922,734,167,583,070,384,031,422,064,189,226,011,144,744,
346,915,860,755,599,348,311,487,418,754,931,752,274,197,121,946,035,933,381,
779,508,374,635,102,056,391,939,644,161,796,357,361,394,063,827,604,787,653,
005,829,873,335,972,602,746,395,546,102,137,087,761,417,954,960,820,366,275,
153,720,627,758,073,514,743,154,933,667,265,169,644,280,871,832,685,427,157,
224,980,921,531,934,555,862,011,970,700,693,989,366,194,271,987,597,350,207,
587,459,869,513,230,601,033,203,352,672,854,873,563,196,630,573,922,595,295,
566,725,482,908,568,420,566,844,001,477,261,664,478,572,899,003,364,273,463,
717,227,103,535,132,310,166,878,113,576,719,704,016,018,426,549,303,342,317,
834,306,407,341,357,357,361,441,706,942,026,197,999,755,652,088,960,504,665,
382,725,504,852,912,507,472,979,539,201,438,167,370,911,103,021,093,138,980,
098,435,432,981,704,092,378,050,432,596,973,442,257,114,078,588,278,961,547,
559,651,791,176,407,491,370,065,915,423,588,589,424,124,461,743,759,888,486,
331,460,638,505,736,905,433,841,052,899,729,563,135,844,640,639,332,993,241,
885,038,560,781,733,268,275,515,950,185,839,026,548,130,812,216,730,366,384,
800,925,971,838,030,392,105,925,733,047,751,223,173,624,996,885,152,926,548,
793,696,600,007,392,888,164,307,323,010,935,408,493,728,420,609,519,203,153,
137,655,457,656,909,382,608,320,061,218,773,439,147,142,920,751,326,238,455,
861,540,933,534,707,882,417,701,959,982,967,343,943,379,113,543,760,552,366,
074,629,605,321,926,515,344,797,768,213,581,015,965,010,813,153,541,290,464,
830,384,352,395,562,760,298,389,827,433,356,883,842,008,747,859,751,266,128,
291,092,213,505,186,590,089,964,243,364,214,874,065,105,714,286,082,494,825,
903,156,890,611,203,722,826,502,964,799,218,202,644,594,680,773,008,464,850,
831,663,874,410,917,062,135,493,793,065,955,336,920,431,458,036,900,359,681,
470,736,519,159,170,157,786,176,172,346,291,272,825,984,540,027,654,145,022,
138,468,171,250,716,364,482,219,479,802,214,583,276,383,671,342,764,145,709,
670,320,029,844,354,436,770,930,725,963,051,208,753,561,961,021,186,109,146,
916,866,041,054,249,635,608,412,979,956,413,440,966,991,570,587,378,491,423,
383,838,166,214,346,289,965,388,440,698,462,958,211,698,896,760,748,379,304,
953,562,380,174,756,776,651,740,383,286,443,320,749,619,689,424,562,850,906,
203,942,883,821,265,544,414,057,635,309,056,779,835,765,353,201,686,107,423,
377,485,548,245,700,440,491,376,734,370,498,338,709,748,899,781,919,081,617,
235,519,666,328,091,109,758,917,989,167,352,103,455,183,970,372,903,267,337,
516,683,137,320,850,791,472,173,386,335,676,557,343,848,585,493,584,779,559,
817,912,870,662,876,539,233,024,874,892,620,809,568,054,789,596,148,352,475,
759,424,563,320,564,684,045,658,252,282,588,847,954,985,794,577,333,667,218,
094,141,399,893,581,545,068,154,929,431,447,387,865,170,006,518,023,918,636,
851,614,758,875,176,205,749,076,661,952,489,630,758,531,151,280,945,623,456,
032,891,899,404,259,905,892,479,803,520,055,109,373,661,858,660,425,680,513,
625,965,987,410,766,724,618,185,516,245,418,579,409,148,358,618,125,144,461,
298,461,763,462,865,983,391,810,887,446,275,636,660,026,896,624,816,814,899,
167,288,697,997,694,200,496,254,902,426,786,677,512,919,136,483,163,355,572,
320,935,226,043,968,720,607,428,157,877,606,545,167,609,580,556,121,461,472,
256,299,000,476,677,841,542,798,981,467,732,051,096,746,333,001,158,804,095,
200,683,482,758,873,654,791,508,247,587,137,279,098,501,704,523,548,518,731,
269,656,003,313,765,467,596,291,708,543,326,320,868,324,594,116,410,539,348,
737,603,151,240,340,091,605,681,503,408,452,472,914,429,059,571,885,189,919,
734,767,801,191,520,080,461,254,159,686,902,539,890,928,959,089,058,957,453,
348,039,503,110,068,604,595,211,529,392,838,165,576,702,684,835,507,954,115,
680,738,968,441,810,996,042,821,836,845,234,906,103,923,792,748,201,939,547,
380,843,893,773,808,468,655,388,851,359,902,747,935,947,228,793,862,002,690,
028,116,128,397,114,513,793,743,395,487,684,002,972,333,572,374,263,186,196,
370,297,539,562,389,122,286,000,836,077,280,009,213,739,060,132,399,908,148,
631,780,934,601,841,204,564,881,236,543,994,942,285,548,304,234,063,404,930,
262,760,181,532,900,465,812,762,910,876,547,747,266,620,814,290,979,168,265,
706,618,915,557,362,129,311,086,193,568,565,258,729,504,872,874,195,578,392,
676,582,981,163,008,246,853,240,919,329,647,279,915,434,626,748,629,704,014,
247,983,216,006,264,885,119,974,703,306,609,344,880,925,583,407,157,533,188,
243,521,314,199,839,853,656,665,543,470,541,965,930,521,488,242,716,408,089,
285,949,276,082,353,547,193,044,480,532,525,697,323,851,686,180,183,757,011,
263,066,187,794,309,758,994,675,357,070,506,368,330,106,303,912,614,565,220,
501,892,582,742,294,272,019,784,333,212,977,582,175,411,749,210,566,676,245,
863,430,645,718,196,184,085,500,598,495,579,093,629,350,077,482,219,611,494,
577,763,177,997,008,663,098,275,675,481,733,785,123,581,204,545,674,174,752,
985,235,531,820,140,439,257,867,785,162,744,732,270,774,431,334,390,228,676,
453,810,303,369,129,579,940,849,688,234,379,650,248,249,637,002,019,706,246,
040,468,105,040,386,835,827,248,028,506,168,471,523,763,366,385,936,021,584,
368,434,589,036,203,418,491,548,770,387,280,418,554,412,399,866,429,194,076,
066,311,400,327,543,150,557,675,660,504,259,203,913,475,692,022,000,665,340,
619,677,752,387,781,511,371,903,867,308,297,656,156,081,728,230,378,307,583,
082,970,232,418,159,812,357,656,499,866,552,567,589,906,531,391,292,123,934,
991,576,214,420,240,290,210,823,939,527,706,617,876,220,824,360,583,073,295,
637,834,373,828,488,126,030,114,792,540,262,763,589,875,218,316,859,885,531,
781,600,058,544,490,601,389,331,935,125,461,356,948,330,026,335,596,850,689,
763,197,458,268,163,973,814,710,739,079,798,119,566,217,409,106,022,170,192,
236,648,701,498,378,304,457,669,552,202,459,231,582,266,186,766,707,708,594,
430,625,191,624,113,742,877,858,930,641,866,015,577,252,823,136,555,631,702,
337,393,442,824,868,367,336,913,034,737,340,338,928,364,286,988,318,718,108,
455,858,480,307,779,443,009,589,841,849,279,588,566,710,710,511,573,374,107,
337,438,403,478,603,315,764,241,712,053,464,763,811,293,787,995,367,042,157,
326,822,182,390,974,775,988,839,356,494,698,325,013,706,608,919,345,104,790,
725,571,574,908,494,717,010,908,110,884,863,425,942,866,332,873,676,361,079,
364,639,279,944,396,448,227,088,928,521,701,322,366,314,844,010,546,093,924,
680,985,339,044,796,954,490,842,202,801,289,841,890,313,923,602,514,130,346,
028,010,404,751,461,344,194,428,869,506,587,285,944,753,686,518,574,027,337,
787,387,030,973,307,855,681,088,918,881,560,506,746,058,962,207,037,100,757,
733,344,308,783,125,641,101,347,824,478,556,416,956,071,192,736,727,230,468,
553,911,434,640,650,557,198,160,411,175,012,400,616,877,585,530,414,876,653,
198,380,978,233,439,952,648,272,593,825,491,663,910,727,742,293,236,652,486,
173,104,838,191,706,716,609,106,278,403,484,757,252,382,249,002,405,521,610,
225,372,396,000,487,983,324,586,884,879,475,039,641,697,568,277,164,410,451,
862,512,762,695,012,471,877,567,395,510,120,228,038,668,672,820,235,224,301,
372,468,615,788,258,552,889,509,172,359,882,150,482,803,913,427,676,409,779,
655,929,410,076,915,537,927,430,298,666,029,226,633,325,215,366,999,796,922,
920,248,234,040,765,207,683,366,900,227,448,600,791,141,555,121,587,311,366,
090,483,851,172,005,065,102,057,077,782,263,201,185,940,799,980,391,554,781,
440,233,441,146,725,835,072,423,094,527,001,558,810,221,413,329,993,490,116,
067,890,152,298,659,229,491,809,926,236,934,760,560,268,576,432,431,407,912,
974,903,389,528,543,554,861,324,329,471,616,002,343,728,352,080,293,879,349,
763,953,232,859,628,744,826,006,978,345,739,579,445,930,215,393,427,035,981,
159,317,506,227,606,580,810,160,414,062,999,417,432,362,574,580,483,509,078,
852,756,280,765,143,318,611,783,266,816,282,872,260,568,732,135,226,178,983,
273,996,021,392,099,632,320,550,114,203,996,426,647,500,207,301,706,579,443,
818,695,262,032,936,126,515,210,153,621,494,796,514,064,908,311,243,915,203,
230,190,536,539,775,086,129,422,082,250,955,201,154,483,786,208,254,167,866,
368,512,150,290,756,416,928,663,869,513,488,666,062,552,911,977,043,960,229,
358,639,361,333,855,630,072,288,690,614,812,210,100,460,866,779,421,157,493,
741,861,090,238,352,189,259,335,011,313,849,143,774,323,310,935,488,278,725,
183,101,074,824,440,179,706,136,721,572,369,010,044,666,881,477,266,660,146,
233,031,398,163,373,589,883,183,217,996,343,654,312,687,069,521,173,893,138,
950,064,588,298,832,107,526,555,924,188,714,992,629,534,871,621,920,120,305,
001,481,805,441,703,469,155,678,513,869,334,721,152,734,168,740,862,208,611,
221,270,569,854,858,423,403,044,855,044,666,894,768,868,245,324,098,612,239,
340,801,949,799,218,960,663,270,175,220,789,908,964,201,494,050,669,879,264,
360,676,343,444,948,523,022,693,857,486,613,338,575,206,305,992,456,352,901,
041,247,574,171,853,723,765,083,152,545,279,338,342,218,275,325,021,103,343,
238,277,632,388,183,714,187,324,422,927,202,991,810,934,587,368,040,350,581,
869,523,959,345,095,904,580,494,563,803,790,740,784,896,195,738,107,885,992,
406,722,228,319,023,311,228,184,197,154,648,202,766,130,033,214,348,162,309,
460,288,152,917,579,423,025,988,410,143,388,339,109,120,579,942,155,603,575,
517,698,067,233,723,120,337,561,270,683,252,306,185,431,862,339,709,992,261,
210,374,823,050,437,373,288,276,696,373,000,058,759,845,045,381,104,734,007,
537,286,730,250,021,371,141,297,013,487,103,733,833,187,816,522,069,464,357,
597,342,514,380,879,112,972,033,249,650,989,678,425,013,235,640,728,725,902,
613,887,306,477,466,743,045,888,789,960,883,377,115,557,933,687,290,061,785,
063,278,825,576,920,203,168,874,559,060,110,021,038,936,863,636,100,484,794,
527,399,557,412,395,666,503,465,593,570,042,501,255,112,488,918,916,784,886,
686,753,890,930,595,179,928,924,451,938,140,728,540,475,518,058,108,919,970,
456,169,026,962,266,582,757,384,306,461,257,910,689,754,529,863,780,766,499,
601,819,576,644,651,350,052,989,420,943,611,564,536,648,619,588,710,752,787,
023,600,115,023,295,390,402,484,477,902,516,545,970,240,960,563,750,919,696,
168,230,563,531,693,405,355,331,379,865,506,205,451,277,999,479,452,960,469,
200,564,635,706,335,294,286,041,596,444,305,621,032,074,124,473,215,317,375,
204,542,577,655,451,306,806,785,754,900,553,745,582,245,112,776,265,156,087,
155,433,429,730,108,312,174,345,013,256,862,125,837,734,022,501,251,954,721,
095,948,850,245,894,130,754,484,550,173,301,053,872,916,470,610,512,385,118,
761,650,173,848,113,628,372,774,861,664,212,168,846,436,128,395,186,301,887,
428,723,035,724,929,495,516,449,296,763,461,128,910,353,202,071,753,818,860,
639,074,322,714,776,028,858,461,204,185,737,683,783,672,846,226,038,238,277,
440,580,149,551,854,455,589,072,814,478,041,003,143,027,526,633,838,680,177,
066,650,227,618,115,757,956,574,354,744,554,191,718,704,624,547,470,777,007,
792,737,999,922,996,104,433,570,851,783,851,977,775,805,175,923,428,209,729,
957,971,857,377,833,698,331,594,109,947,347,365,151,320,372,472,838,394,005,
936,742,480,508,759,480,265,385,834,916,089,491,433,646,619,118,166,287,987,
117,401,127,253,667,504,444,374,481,972,693,135,010,956,621,094,381,567,517,
054,451,937,229,805,060,937,910,508,374,630,223,190,371,451,496,780,925,388,
277,389,109,769,219,103,351,460,641,436,103,032,806,320,421,671,689,667,109,
077,193,346,766,007,335,741,010,570,879,270,707,206,397,765,226,671,261,954,
893,319,506,964,394,566,327,942,045,748,469,579,088,477,902,692,895,835,695,
159,352,645,171,069,160,715,960,951,942,672,234,947,514,327,911,744,301,268,
540,696,345,937,585,028,920,951,366,291,222,199,830,288,952,346,893,038,371,
206,352,539,056,307,128,419,781,479,208,425,189,533,228,157,522,079,259,136,
341,328,174,086,319,816,387,747,219,212,095,931,422,241,095,107,322,496,458,
165,041,468,432,794,743,572,176,976,069,633,001,609,123,969,004,314,651,326,
008,069,672,326,294,293,798,672,911,162,651,154,151,052,240,401,116,202,629,
462,661,825,665,232,271,199,524,086,211,886,487,995,226,918,636,550,846,035,
489,093,464,727,240,689,168,419,473,724,150,544,107,278,134,875,355,008,873,
493,529,741,063,076,605,199,782,938,092,806,021,627,496,569,672,494,921,991,
596,913,686,747,660,195,919,582,560,046,857,439,904,724,468,504,144,751,573,
131,047,276,659,297,427,285,132,963,304,345,351,985,918,146,529,276,455,801,
623,903,265,475,024,851,178,088,413,847,927,220,499,058,378,183,510,781,184,
907,977,600,654,200,081,299,704,240,975,136,354,862,406,387,631,571,710,328,
050,008,893,419,959,595,863,680,408,020,205,685,064,114,911,476,912,839,085,
677,879,327,438,384,597,491,640,710,925,409,111,804,832,196,241,172,627,233,
036,664,467,177,310,481,570,177,772,620,906,874,791,138,169,597,627,771,306,
349,343,220,539,244,683,972,060,779,251,450,339,631,696,534,960,650,683,958,
632,824,671,350,920,274,133,667,206,808,687,618,737,274,516,350,465,907,679,
739,909,377,053,051,318,708,005,901,072,423,604,131,459,771,136,929,075,239,
578,342,759,062,155,694,026,553,796,150,814,284,447,103,603,457,023,480,428,
987,411,452,221,902,555,848,916,181,087,657,328,557,996,000,116,413,992,998,
614,915,046,300,424,894,566,757,661,364,776,245,672,332,578,364,017,854,962,
466,030,830,262,353,426,085,048,547,349,281,313,989,304,899,669,044,610,208,
858,056,416,310,695,250,422,171,699,286,876,680,297,884,026,993,492,605,716,
096,247,280,344,673,438,838,809,361,616,421,270,337,501,927,171,472,465,470,
008,553,216,038,938,643,781,507,100,234,121,876,633,220,170,579,489,404,040,
386,443,530,873,215,265,151,660,950,953,934,629,271,942,580,428,730,629,636,
304,825,630,858,759,661,853,831,466,927,065,550,245,534,547,369,237,096,802,
876,070,115,652,738,078,483,427,009,562,737,077,520,753,111,256,025,245,635,
109,350,218,083,144,043,789,593,561,106,841,810,021,039,034,200,243,449,557,
254,045,687,103,889,868,197,579,909,982,437,683,593,429,764,313,400,855,555,
112,319,148,689,884,503,299,581,087,052,597,491,519,792,109,254,284,378,414,
878,629,133,922,913,798,690,960,960,759,339,445,889,658,869,772,590,397,267,
696,552,006,943,093,192,285,195,059,506,486,278,879,260,659,081,026,902,047,
107,614,343,610,415,852,927,833,539,934,859,056,391,258,761,432,179,971,731,
691,753,471,351,722,905,040,343,300,791,875,363,479,287,511,233,774,516,358,
635,548,414,976,843,277,384,724,143,054,375,350,571,137,786,491,797,162,114,
326,612,888,297,723,894,572,289,600,943,381,470,208,112,739,844,737,544,762,
310,069,472,299,293,929,484,822,420,685,940,548,364,559,113,161,753,404,211,
188,321,798,382,957,110,608,227,937,381,249,221,574,340,118,126,255,296,732,
892,488,717,375,593,805,603,210,445,434,465,745,962,324,644,953,707,755,871,
976,531,605,802,438,436,940,718,478,332,024,639,596,186,411,612,452,842,117,
254,348,360,670,685,420,445,021,686,465,208,287,645,025,309,988,351,366,435,
546,392,019,606,030,487,165,174,042,821,035,260,606,090,889,981,322,003,100,
752,981,413,687,288,013,270,939,456,095,306,766,828,872,977,383,826,612,757,
525,244,940,276,386,669,783,635,891,578,208,664,732,197,399,005,243,785,925,
961,036,309,124,085,833,281,158,696,887,168,720,434,486,818,167,940,557,466,
063,050,936,834,153,627,926,546,056,309,057,834,930,465,554,157,222,298,126,
205,157,288,888,258,943,572,418,937,390,823,311,286,694,246,757,521,555,727,
788,309,258,626,275,827,093,532,086,028,304,889,175,790,849,882,236,537,109,
260,054,137,109,006,391,763,179,538,741,362,688,077,912,531,988,468,000,361,
342,854,389,865,430,566,154,664,491,967,800,730,430,567,375,162,143,538,539,
029,930,250,373,604,744,724,599,646,607,301,411,418,300,732,297,389,500,381,
974,425,849,452,454,923,350,531,214,260,173,629,849,065,125,822,500,538,480,
862,058,422,853,023,344,033,653,519,223,905,591,377,198,461,549,422,076,595,
479,671,983,050,026,004,127,306,661,207,185,401,008,133,345,262,536,707,067,
953,552,227,799,132,031,272,022,821,943,930,026,309,514,051,293,218,935,353,
044,047,344,953,858,168,199,877,163,568,910,510,116,896,522,960,706,228,076,
754,640,394,274,568,300,815,210,745,089,427,492,695,485,055,609,103,962,166,
129,997,715,387,880,173,737,961,528,122,496,342,872,075,419,936,727,085,007,
932,739,560,803,795,733,313,753,916,058,507,674,739,223,539,648,947,041,709,
738,045,784,555,094,963,463,221,537,734,554,447,450,052,402,945,523,610,989,
006,840,526,420,141,570,720,970,678,970,810,026,395,507,550,935,906,705,289,
470,128,803,668,796,487,771,949,128,758,018,521,263,324,420,948,954,157,649,
712,302,666,646,195,375,577,482,298,015,073,370,427,795,040,253,016,096,407,
165,384,912,524,241,379,776,456,964,245,035,225,742,375,235,278,646,292,326,
171,472,799,288,130,608,265,450,166,604,476,217,480,220,878,449,792,382,056,
780,693,589,211,895,788,603,224,636,025,495,062,890,945,750,033,505,814,098,
205,489,785,027,262,130,632,547,126,126,671,926,936,080,722,670,523,987,996,
487,718,158,776,279,320,898,116,547,163,759,228,160,375,169,419,584,161,208,
428,348,293,525,652,024,326,781,978,215,387,652,784,989,307,702,281,542,094,
916,316,041,547,432,581,662,146,050,841,478,821,254,227,838,672,990,076,341,
399,846,990,947,964,271,098,807,235,232,369,834,192,191,653,666,302,454,887,
407,992,598,229,942,557,931,404,624,728,590,988,017,110,765,280,433,892,633,
720,486,279,842,546,658,847,175,273,740,605,547,753,129,935,814,788,600,503,
943,422,464,970,804,696,410,298,096,670,668,061,234,122,618,953,309,292,176,
527,031,623,066,406,653,315,398,201,048,215,443,234,130,258,513,849,684,893,
111,019,457,320,325,260,314,308,685,193,704,458,541,060,022,575,925,355,857,
671,518,805,164,834,405,600,165,455,169,325,751,145,407,115,410,963,270,419,
697,786,490,340,768,225,387,919,800,845,613,477,608,510,817,612,787,525,313,
874,207,404,759,032,552,443,698,664,843,242,261,782,017,806,764,438,055,793,
203,276,238,693,454,301,534,787,753,100,699,197,608,045,477,165,849,901,050,
862,452,530,096,148,610,749,627,707,988,940,225,538,855,365,053,124,074,152,
480,165,156,930,463,920,230,831,819,120,472,818,491,999,991,417,285,728,886,
459,309,936,215,035,404,192,712,246,212,697,728,125,525,979,221,015,464,618,
542,599,109,878,854,646,975,146,222,934,014,426,687,069,060,323,749,012,799,
646,989,250,788,665,357,210,038,041,334,736,277,411,510,578,815,219,070,022,
973,588,261,464,226,204,010,993,135,308,061,622,741,286,448,661,549,365,725,
337,650,631,024,402,151,045,911,182,804,226,071,934,532,185,183,019,448,223,
778,444,533,164,359,187,924,387,180,305,907,742,304,346,574,803,763,443,237,
875,454,577,964,965,320,437,773,413,013,961,657,704,979,423,460,156,494,164,
998,378,076,070,463,858,041,556,440,731,209,256,279,148,214,707,683,675,531,
730,417,723,382,738,102,189,395,896,885,901,807,493,822,326,487,711,957,840,
662,280,369,440,186,995,705,084,898,343,893,795,107,953,468,631,660,800,045,
569,134,003,947,001,021,920,473,759,521,284,526,898,758,971,394,719,251,423,
739,895,833,575,581,485,385,758,149,216,534,632,239,159,485,950,839,644,811,
911,772,529,275,193,341,273,733,914,666,716,548,627,984,423,181,130,519,824,
159,093,382,293,630,523,011,853,979,812,490,444,699,380,795,134,105,601,023,
571,988,416,869,928,471,854,800,032,100,346,556,046,237,373,456,533,339,019,
321,971,273,758,435,176,959,752,908,297,515,308,018,677,234,326,295,016,825,
282,505,800,081,655,168,235,091,429,964,953,861,753,300,159,723,995,779,896,
875,050,588,989,656,443,034,383,146,654,533,708,119,293,651,959,104,703,968,
786,759,736,361,737,030,841,228,283,570,051,423,391,053,007,086,603,790,849,
483,343,471,144,306,865,746,093,418,493,426,069,065,525,422,150,553,830,627,
461,779,566,298,293,373,076,546,751,342,192,950,319,754,238,379,739,715,730,
988,547,525,727,028,885,522,517,479,366,862,554,353,946,723,570,062,488,817,
076,662,285,085,403,880,963,250,247,121,026,208,063,952,262,722,130,930,014,
278,515,683,252,338,407,877,295,909,335,435,229,040,740,930,729,804,280,230,
035,077,653,014,496,843,016,767,505,698,526,362,993,621,386,848,386,511,155,
361,630,973,002,649,946,240,482,441,117,699,096,373,612,531,009,422,298,053,
769,254,533,430,977,167,093,624,564,359,988,524,262,104,043,846,559,754,871,
649,156,747,349,827,295,513,170,714,859,537,595,587,921,922,415,094,052,883,
221,307,362,936,655,150,618,150,523,630,193,267,017,575,175,124,337,257,988,
481,135,972,409,591,330,130,042,332,898,950,370,561,257,063,350,172,910,955,
937,658,455,278,040,041,570,124,918,266,895,338,797,543,591,084,039,053,096,
084,904,886,036,915,331,499,286,891,124,589,424,512,420,954,343,828,007,628,
643,003,904,287,159,858,618,858,108,942,284,638,437,731,092,731,344,541,668,
544,032,669,988,303,898,858,269,616,469,178,244,048,748,135,392,179,104,877,
479,495,388,329,193,614,193,605,643,713,941,636,728,102,447,455,736,202,576,
209,678,031,322,942,433,155,622,767,088,270,033,716,123,757,625,030,740,850,
010,414,030,661,005,785,563,187,256,420,347,449,543,842,073,987,124,160,529,
366,470,230,107,813,442,580,119,021,551,691,370,756,518,247,062,734,634,839,
856,461,505,120,896,385,957,647,686,326,779,159,424,176,309,598,863,240,038,
648,959,896,028,773,419,614,602,128,156,656,703,532,925,044,426,035,720,599,
538,253,982,558,772,784,975,639,729,846,109,125,661,282,466,029,509,561,986,
773,072,999,209,806,100,097,814,645,365,039,085,732,285,468,050,369,450,236,
666,191,587,708,782,243,545,161,274,138,820,385,137,025,595,332,546,814,714,
119,929,282,850,728,590,926,890,408,780,659,018,870,005,177,684,783,018,367,
616,078,814,363,867,243,952,211,773,757,889,010,726,888,574,152,610,830,461,
127,498,790,241,002,352,806,751,441,005,718,842,004,980,320,263,643,299,721,
211,298,276,060,667,678,084,811,902,951,105,911,459,710,251,199,199,158,379,
385,927,796,466,101,940,418,111,182,923,243,023,933,284,849,159,401,510,278,
121,005,894,024,731,419,729,980,029,534,173,957,238,092,009,789,578,276,002,
381,220,849,917,297,881,958,199,902,647,249,512,760,782,884,272,827,147,496,
702,162,965,792,209,362,904,614,138,238,541,695,738,937,131,852,234,015,914,
803,988,437,665,071,116,561,182,495,372,680,699,121,961,003,580,952,192,414,
883,225,851,875,379,962,164,341,579,024,926,746,446,635,062,136,890,083,518,
695,109,277,160,617,474,250,020,182,361,472,878,762,080,371,411,321,734,256,
535,528,014,187,835,564,588,406,049,120,306,498,407,492,597,635,285,812,612,
590,356,124,207,785,686,015,421,064,283,041,078,744,815,114,483,726,026,799,
855,411,783,020,212,574,577,051,421,827,024,501,246,053,623,444,027,627,321,
094,081,026,367,325,838,562,234,555,124,893,791,221,441,772,001,369,195,862,
303,060,310,316,509,238,939,318,962,688,095,661,472,513,844,589,223,309,617,
738,837,366,376,331,293,271,182,839,328,225,410,185,542,900,920,301,910,226,
163,596,718,110,290,480,677,328,124,370,629,526,286,479,278,624,979,757,283,
198,056,082,595,339,740,514,641,431,089,077,528,476,110,112,897,289,373,579,
923,005,836,584,907,969,963,338,931,939,464,095,756,774,916,300,269,118,756,
398,899,792,084,081,257,207,619,048,461,947,293,615,714,378,849,905,230,373,
803,486,465,235,853,860,868,112,549,178,351,748,150,780,620,983,416,878,141,
173,798,301,976,320,720,461,391,222,553,063,878,081,986,358,276,444,666,703,
496,697,569,262,731,504,443,794,236,680,718,122,541,011,301,307,656,754,854,
869,840,674,102,456,823,816,303,549,126,464,754,671,911,187,044,052,353,537,
432,156,370,761,414,326,322,445,535,935,169,462,414,428,513,051,740,527,117,
511,291,781,439,036,435,443,286,081,684,516,290,280,204,056,007,956,151,248,
000,688,300,841,443,108,602,866,408,181,696,841,852,893,769,260,436,082,994,
279,503,958,787,026,457,329,765,836,529,765,838,715,186,994,309,412,028,359,
607,344,288,646,270,485,132,971,122,085,212,688,802,919,603,296,824,307,913,
625,155,935,424,053,124,752,945,846,216,810,902,549,112,296,862,769,647,777,
003,786,191,643,785,000,235,414,613,883,419,189,174,097,150,308,013,492,719,
454,129,800,642,125,056,896,009,414,045,617,720,053,337,071,875,827,915,451,
603,748,062,344,522,658,828,908,315,241,806,327,251,806,548,743,223,540,939,
945,117,795,225,815,765,908,782,958,019,637,064,449,212,590,787,758,436,769,
097,995,300,965,731,606,234,680,197,321,108,471,430,376,922,147,950,150,478,
200,623,221,689,419,370,241,921,768,748,665,090,015,651,857,370,462,574,220,
654,414,520,140,973,090,134,512,121,368,101,746,085,980,145,091,336,041,570,
757,851,080,023,770,427,044,226,243,217,151,245,907,479,905,812,393,252,100,
063,134,847,561,079,766,882,640,669,037,241,636,013,498,540,736,436,662,655,
610,878,875,413,600,745,033,412,247,425,823,142,252,423,966,396,164,026,037,
489,950,720,060,384,839,772,202,709,992,410,311,333,022,010,593,794,532,127,
301,615,708,326,934,212,754,641,298,977,180,062,568,306,907,475,963,935,461,
091,900,008,846,305,447,871,073,284,229,468,556,093,591,814,849,923,472,842,
694,399,615,651,944,469,025,360,135,355,456,711,471,029,695,839,310,704,532,
729,939,735,558,645,025,566,884,601,466,953,829,959,688,397,242,614,446,832,
199,048,208,941,016,173,078,003,119,119,529,271,168,493,907,542,324,723,022,
367,460,017,434,949,427,026,372,561,207,484,975,143,135,504,969,974,174,654,
573,515,760,578,773,290,305,798,189,605,888,468,380,899,666,277,633,380,351,
173,092,249,454,306,556,452,082,681,915,925,262,273,887,710,799,425,671,844,
522,190,989,432,032,658,819,732,633,691,853,450,926,237,583,716,632,940,804,
675,695,161,810,646,712,319,302,910,665,416,315,979,645,997,076,604,821,341,
362,016,096,420,238,037,256,504,844,825,314,133,861,878,935,886,395,875,150,
660,707,522,028,786,900,367,712,554,727,072,396,999,624,615,105,457,922,356,
042,629,643,974,154,881,666,534,282,700,708,830,137,927,384,198,139,465,588,
698,219,450,771,144,802,141,778,303,583,984,660,769,718,117,837,355,930,949,
535,857,887,476,585,215,249,762,721,336,675,790,111,090,917,514,424,703,055,
040,372,432,101,030,332,857,876,433,607,206,645,927,956,511,554,192,357,519,
665,062,634,964,889,590,198,085,981,872,214,211,022,428,230,909,876,021,419,
744,528,850,498,096,358,981,631,594,881,808,612,979,010,697,997,886,588,581,
766,333,461,634,132,958,635,746,237,846,276,958,446,399,931,364,470,016,681,
855,491,565,466,898,513,395,201,768,703,932,383,366,628,285,851,253,787,510,
722,076,629,814,521,921,874,088,440,415,171,906,550,401,753,400,494,210,247,
057,368,948,156,247,744,455,871,020,682,656,191,518,137,432,038,416,468,582,
832,294,637,183,154,093,084,615,394,544,087,839,834,778,239,420,114,632,603,
420,169,552,916,550,518,720,676,115,329,692,462,222,937,784,134,180,351,238,
389,630,853,988,881,338,506,034,855,514,957,919,135,777,759,487,639,923,303,
073,862,508,413,010,810,365,789,794,179,294,252,227,858,800,874,633,020,137,
806,351,225,125,940,149,571,379,270,039,624,412,204,582,588,697,809,841,051,
157,681,113,858,788,036,304,394,741,792,611,306,865,085,214,752,878,576,205,
361,455,229,770,120,305,444,191,033,619,070,656,575,642,632,422,482,743,254,
162,662,167,182,874,660,871,915,634,899,574,762,692,186,984,967,034,927,259,
240,327,848,452,982,346,815,542,666,300,931,071,047,379,555,501,863,123,377,
298,153,463,998,507,649,819,819,137,845,754,112,139,580,991,848,092,211,426,
620,394,302,384,655,117,643,601,125,160,090,496,229,736,119,459,252,229,619,
537,312,038,159,000,909,857,080,613,008,191,525,918,214,475,554,910,528,546,
348,630,694,798,228,985,024,218,867,872,147,185,562,266,321,477,268,062,860,
599,323,942,734,067,035,979,791,396,633,081,749,034,458,805,799,081,787,716,
525,982,672,428,177,164,087,936,365,799,264,148,648,827,481,574,925,050,110,
287,570,918,253,883,493,610,907,437,476,522,635,494,642,528,589,436,478,970,
222,753,804,971,579,304,345,699,240,930,981,673,142,796,917,965,244,075,024,
252,824,181,282,234,923,499,722,523,419,792,290,612,308,865,191,692,248,124,
684,517,258,419,595,642,119,137,914,391,617,446,461,095,713,030,819,745,677,
849,215,254,014,207,491,925,874,268,381,294,709,310,961,220,041,714,815,675,
546,155,389,562,057,550,348,298,126,204,471,563,590,338,520,477,639,553,014,
630,599,567,224,881,052,542,816,465,840,127,714,624,747,909,791,818,986,152,
912,721,851,697,590,358,995,857,871,132,584,735,413,980,026,948,802,031,081,
446,364,001,329,485,173,799,415,061,838,346,699,382,910,138,098,863,706,842,
082,059,765,778,553,227,387,822,480,150,439,872,578,337,308,969,464,977,993,
345,620,007,593,782,646,695,293,399,964,929,851,297,547,284,871,738,590,761,
113,150,539,808,487,968,884,171,874,597,449,231,183,731,488,056,345,861,254,
840,626,913,364,301,123,524,595,369,987,983,632,862,632,531,533,844,569,819,
662,929,904,045,833,877,669,361,762,168,894,019,371,199,585,126,501,073,343,
528,514,856,408,508,225,065,690,428,518,543,226,682,168,539,908,678,151,153,
905,392,510,833,232,163,528,510,155,867,984,819,363,517,118,158,297,158,516,
918,676,694,483,128,730,774,139,934,603,774,920,270,667,449,154,494,526,475,
177,747,243,983,489,035,450,140,677,493,944,870,156,108,568,970,620,307,638,
729,653,883,319,816,117,591,061,897,234,446,480,354,999,356,866,429,727,946,
956,207,611,894,234,841,491,480,688,250,148,844,227,470,947,192,014,375,041,
925,839,657,264,028,773,737,597,413,818,067,808,137,287,633,391,910,137,084,
541,985,085,262,280,019,483,456,272,993,709,433,005,729,365,899,397,982,270,
261,494,545,374,687,784,617,240,539,000,940,955,528,933,234,247,050,626,297,
676,713,990,575,907,716,554,084,627,153,956,689,309,175,454,431,652,919,507,
969,494,506,594,315,408,487,589,927,725,292,456,729,465,130,621,642,097,754,
092,606,919,039,358,046,628,439,998,170,958,400,438,596,822,393,702,909,927,
895,729,861,088,008,054,189,278,602,159,410,302,883,276,278,822,914,888,077,
222,853,039,280,385,102,959,430,477,895,458,612,259,171,885,660,998,535,380,
514,869,024,473,902,636,925,216,844,148,622,286,424,009,180,813,085,619,956,
063,459,204,234,365,775,302,206,419,290,480,601,539,806,243,592,012,906,033,
977,543,295,757,916,114,972,204,572,166,053,283,255,109,666,340,889,594,887,
054,686,609,712,152,852,498,586,884,104,317,678,193,598,287,127,540,951,350,
196,069,217,339,205,459,708,550,429,499,578,349,702,806,800,441,205,625,537,
734,101,597,113,813,345,141,877,001,361,188,698,417,338,719,160,738,748,153,
674,976,909,547,480,062,606,013,932,422,264,921,961,051,688,020,020,420,612,
764,669,220,103,053,762,388,798,221,358,466,382,295,216,104,352,327,848,626,
458,206,364,132,143,385,255,630,721,604,677,430,301,015,802,225,206,649,549,
023,341,158,585,801,289,575,310,333,276,241,709,378,010,124,863,555,760,330,
037,299,351,197,337,784,318,308,615,351,581,539,393,765,984,323,761,627,299,
105,927,669,904,514,643,024,588,514,943,532,481,564,850,804,696,983,770,114,
358,761,220,302,252,921,392,711,500,523,928,646,081,389,125,614,218,673,771,
684,450,614,192,099,385,789,606,795,018,219,525,679,024,529,754,588,904,337,
698,985,412,419,435,754,426,459,999,377,561,757,397,906,800,114,904,626,286,
034,423,222,561,789,364,139,220,193,325,050,953,636,626,860,315,352,273,114,
696,700,497,503,218,354,766,756,756,270,681,940,285,517,080,187,167,654,219,
655,617,214,790,976,018,166,152,306,944,315,316,292,035,318,485,612,803,896,
970,965,477,980,954,192,860,562,127,613,666,659,588,604,280,206,361,830,209,
059,302,200,184,229,850,913,080,499,016,622,502,592,851,992,423,288,301,143,
303,885,126,837,699,909,169,308,715,196,023,237,503,132,425,296,640,663,533,
915,042,741,331,197,064,594,474,716,126,184,122,501,064,995,759,466,499,614,
152,945,342,669,048,640,959,253,949,955,529,242,472,627,140,267,629,804,617,
387,689,022,289,191,044,786,481,034,762,381,067,996,803,630,015,176,673,786,
059,442,010,475,044,543,611,204,922,820,094,804,977,565,044,348,283,226,572,
789,706,309,718,913,888,937,009,269,943,729,419,679,486,871,765,379,998,972,
683,059,078,647,843,535,298,091,897,717,183,390,852,404,554,399,135,443,246,
498,018,722,744,156,400,297,783,264,520,494,759,734,587,337,653,622,676,301,
714,456,339,661,205,571,530,550,091,846,266,988,450,617,135,396,689,018,563,
643,126,213,810,458,308,597,402,078,342,022,141,255,072,849,257,921,535,156,
098,324,468,846,826,805,165,091,181,719,124,493,233,177,152,132,680,646,442,
620,883,504,766,568,468,115,856,824,544,239,593,550,205,645,962,873,456,304,
190,804,628,363,351,654,171,645,624,773,625,997,759,909,338,956,605,605,406,
796,261,674,982,031,967,166,879,084,649,421,385,972,432,042,982,077,850,986,
404,148,902,182,828,450,841,927,944,066,842,073,775,722,147,943,888,727,002,
234,659,334,345,697,195,994,892,364,351,157,815,541,988,498,403,599,931,713,
819,340,907,316,951,089,155,271,073,998,441,688,196,195,353,954,136,763,277,
098,810,618,387,425,850,952,047,644,403,655,770,194,732,295,642,302,449,726,
086,070,828,336,581,180,237,825,063,097,226,807,830,840,449,080,693,953,042,
928,060,057,366,765,923,293,271,085,791,029,065,951,251,068,276,308,000,145,
502,652,102,798,832,434,793,279,954,248,718,332,233,907,832,398,515,301,578,
818,532,076,024,739,416,559,618,583,438,157,219,477,144,176,447,125,058,289,
845,750,602,471,064,011,424,392,094,414,747,211,776,602,123,577,044,272,936,
263,058,549,456,798,467,180,151,941,423,681,519,909,894,502,762,715,304,397,
613,102,765,220,280,525,658,154,175,490,639,209,050,781,340,662,907,508,083,
924,847,449,284,191,071,746,724,713,297,189,356,247,193,342,314,674,784,231,
769,140,114,096,341,049,822,263,137,755,986,684,054,139,660,537,711,663,709,
780,922,879,144,710,225,357,666,665,729,828,544,098,491,507,165,966,096,513,
639,181,700,182,949,066,374,379,380,000,527,880,151,794,411,210,458,591,254,
630,493,346,245,461,915,633,670,605,589,985,938,568,364,623,727,945,043,390,
066,487,605,326,804,436,009,849,241,061,780,478,511,787,486,032,131,604,554,
592,971,780,281,912,914,218,837,633,367,680,489,754,175,243,674,835,250,245,
881,032,039,478,671,022,784,423,226,001,589,412,488,179,232,067,157,910,032,
217,950,226,502,669,951,743,112,748,962,447,888,923,383,786,720,166,527,632,
995,427,356,082,113,490,064,454,470,660,864,729,828,330,832,695,289,542,483,
925,245,219,892,441,579,553,919,050,859,217,662,308,521,021,792,321,777,361,
444,564,222,076,054,943,947,969,828,958,977,653,593,232,362,956,259,497,247,
126,765,070,876,862,845,089,238,150,541,851,694,207,109,014,817,518,343,148,
659,166,051,127,875,619,959,230,831,212,425,515,016,035,786,119,578,249,001,
846,758,428,187,567,408,402,300,004,715,214,619,313,263,475,966,448,501,756,
352,305,273,664,728,581,093,984,886,382,506,620,243,135,942,825,648,571,700,
997,663,722,002,846,754,950,373,653,871,472,293,600,830,195,445,358,656,579,
103,197,391,687,810,142,871,497,590,573,025,451,694,327,539,464,769,841,715,
148,607,475,391,641,373,977,929,568,473,737,194,496,278,545,109,010,741,893,
678,144,369,186,974,076,202,909,023,134,283,447,280,010,855,673,724,504,610,
092,016,628,103,270,449,050,016,973,114,671,449,916,979,576,441,745,329,036,
660,960,866,310,880,032,281,450,709,503,847,347,595,780,573,492,718,125,169,
027,369,967,633,184,620,527,553,206,786,082,861,729,663,347,914,009,553,948,
135,976,377,906,720,850,221,733,820,913,728,830,623,965,479,577,196,488,190,
919,886,739,652,774,078,533,544,263,634,473,952,298,690,480,667,208,005,313,
502,537,332,841,741,817,960,425,173,386,148,482,483,779,536,264,691,293,054,
098,469,421,403,924,450,032,648,744,047,254,432,827,191,836,082,371,737,037,
954,823,140,612,440,971,854,056,697,135,339,145,811,953,302,452,342,758,138,
960,672,686,160,304,005,864,028,142,809,013,306,432,868,665,480,238,059,556,
966,411,942,255,559,746,063,672,877,861,527,281,366,788,274,338,206,200,328,
621,515,252,733,940,221,831,548,914,609,193,283,877,704,590,168,551,644,214,
538,960,772,569,904,246,853,798,039,358,938,956,379,394,018,752,624,308,447,
490,765,050,129,664,894,696,432,362,317,385,428,875,255,702,909,623,697,146,
272,580,541,874,614,943,801,044,230,983,775,784,544,189,150,415,292,745,993,
888,549,754,198,678,798,797,292,540,430,637,370,067,408,118,493,007,757,103,
021,886,559,019,113,459,063,028,365,982,423,313,436,271,393,446,549,078,391,
111,139,710,926,851,748,317,681,187,065,778,042,393,405,183,843,707,572,806,
949,577,420,825,150,396,293,160,203,807,589,496,033,865,982,911,968,870,061,
653,508,695,528,128,665,995,648,600,801,716,128,758,859,216,014,913,148,631,
948,930,025,923,162,030,913,476,538,474,326,076,743,906,053,701,367,681,477,
633,871,162,820,566,076,175,059,155,098,058,423,334,149,188,783,879,983,352,
289,463,939,694,326,865,552,883,626,339,873,227,253,416,688,977,177,541,406,
448,709,761,397,180,535,027,465,238,989,499,948,405,869,064,911,148,738,207,
415,180,913,906,343,240,828,363,144,929,821,159,276,147,709,240,821,237,502,
610,167,985,273,240,301,019,389,042,105,372,698,910,826,578,857,912,987,566,
206,515,696,752,537,141,206,018,701,035,359,777,197,106,385,674,477,424,227,
063,102,045,500,717,351,212,403,366,314,315,014,927,288,845,010,674,357,454,
505,906,122,014,690,457,655,105,746,286,093,241,110,472,386,269,696,003,079,
774,526,928,721,450,468,686,711,519,706,205,895,052,273,119,799,848,156,182,
858,567,666,741,274,996,423,383,440,777,979,121,410,844,796,400,458,533,323,
726,672,433,021,753,139,350,262,598,443,920,417,504,215,494,970,639,130,284,
761,305,196,079,356,526,734,220,136,341,502,521,749,777,966,727,652,236,608,
301,929,402,268,341,428,049,079,250,752,815,474,418,090,201,096,677,861,964,
938,759,125,114,194,141,200,807,689,332,270,765,593,698,959,607,869,869,748,
285,018,939,868,653,083,831,313,342,786,652,841,323,803,289,929,472,635,237,
003,724,808,477,670,849,250,346,052,677,633,028,747,148,980,257,899,407,779,
388,864,410,635,792,048,079,002,598,268,426,656,936,931,549,526,187,818,975,
380,867,294,677,417,435,642,375,549,743,239,281,731,058,991,059,022,485,555,
217,579,809,943,881,077,921,170,923,079,020,197,181,448,638,587,187,091,115,
549,341,326,824,757,616,588,423,713,580,885,225,061,950,821,771,846,990,682,
404,523,697,059,360,458,185,996,093,999,310,574,001,321,139,288,821,650,432,
080,394,477,196,039,616,659,921,795,781,952,782,361,500,432,207,962,775,067,
395,780,712,050,045,567,507,271,737,849,649,653,102,634,407,027,799,991,120,
879,512,138,972,283,966,791,671,269,325,724,483,091,773,541,773,370,846,980,
351,787,876,971,986,334,225,088,864,859,963,953,692,018,722,436,891,909,045,
417,931,370,436,688,947,422,165,856,672,935,910,987,619,503,070,067,611,902,
184,987,341,364,453,255,267,648,984,840,471,640,436,216,998,410,763,633,608,
033,535,625,560,951,357,400,817,314,305,510,548,092,118,882,056,262,475,041,
989,784,822,860,894,966,082,758,481,643,370,103,882,694,268,802,608,630,306,
830,066,418,010,927,784,508,714,134,029,612,141,309,309,122,410,282,633,648,
444,314,861,778,245,035,282,987,602,572,082,306,077,242,735,165,585,187,528,
010,236,438,986,952,528,743,007,392,525,368,306,468,095,801,877,899,140,884,
547,518,013,612,161,538,299,982,742,906,207,606,519,303,193,942,661,831,998,
070,955,575,043,284,088,987,863,360,916,221,895,746,470,047,620,724,423,480,
700,140,831,324,399,882,098,374,082,525,518,890,456,095,712,414,952,859,275,
243,603,220,197,866,696,407,420,279,617,058,201,628,682,410,362,457,689,659,
176,069,814,036,532,473,529,276,266,383,002,287,594,159,430,128,251,327,127,
515,066,004,632,865,726,032,567,595,723,134,868,837,397,384,452,504,522,058,
947,434,645,233,202,142,350,343,638,836,511,933,841,222,211,696,297,072,224,
175,027,793,386,337,545,617,804,739,155,865,601,420,493,365,338,531,400,880,
970,591,844,302,553,138,585,303,986,106,566,604,236,140,334,970,993,191,719,
074,061,066,194,829,282,093,830,927,957,426,095,987,758,674,143,623,143,882,
294,002,386,555,655,188,984,261,199,931,892,377,068,023,477,711,257,267,285,
551,409,337,601,947,700,102,360,440,657,738,375,576,327,725,551,630,090,506,
312,938,335,326,449,565,792,817,945,062,499,191,908,202,489,152,982,486,769,
553,454,128,640,533,404,557,171,275,295,410,386,067,474,166,376,250,746,417,
745,200,954,012,556,870,188,994,412,506,952,629,880,102,179,593,074,608,488,
959,549,860,954,558,701,941,958,509,551,483,538,612,095,696,160,109,826,096,
468,624,161,898,124,122,120,522,104,802,380,807,525,969,713,330,726,716,007,
001,992,870,453,073,522,924,377,894,348,178,974,667,498,355,996,040,561,851,
017,135,774,982,803,695,347,868,553,112,025,250,951,123,045,721,216,581,740,
282,622,799,161,237,855,387,799,911,727,236,647,907,678,694,157,902,052,625,
244,206,110,283,093,365,218,477,970,910,155,267,711,588,570,105,836,674,156,
106,886,236,366,257,122,667,763,944,324,706,356,687,505,473,121,151,986,418,
117,647,617,414,041,039,496,440,792,568,672,824,491,760,682,665,803,271,879,
310,743,689,587,240,318,850,258,753,069,156,595,419,586,283,068,408,830,794,
411,821,444,347,680,900,122,344,450,232,822,056,388,898,458,931,962,763,505,
937,671,665,005,890,232,823,795,329,468,064,516,672,580,646,793,492,384,190,
717,104,245,681,776,364,046,761,966,673,547,736,570,805,079,520,499,185,077,
871,938,383,317,706,094,808,835,753,299,493,776,110,831,463,808,349,536,581,
666,010,015,252,798,406,165,342,703,395,719,134,663,786,661,145,913,645,456,
191,099,740,743,120,615,079,885,846,796,052,176,348,753,135,784,193,277,391,
053,071,677,376,740,258,898,580,551,759,158,577,948,849,229,584,975,227,221,
694,645,405,631,004,538,112,751,345,419,059,492,189,305,980,510,864,286,835,
173,092,633,157,026,627,310,760,569,457,826,012,286,843,281,540,318,454,328,
764,916,440,284,295,710,829,297,278,009,042,513,429,810,826,589,540,090,004,
500,678,648,610,999,752,289,915,685,920,728,488,642,808,494,940,338,029,971,
066,070,932,784,860,503,558,894,129,780,170,880,330,656,798,742,611,465,325,
044,947,498,095,362,317,275,031,891,106,445,689,190,595,025,510,184,093,391,
497,953,669,293,115,757,381,113,880,410,428,977,879,663,205,417,269,590,274,
564,279,673,936,939,534,848,062,423,610,087,809,445,642,124,340,605,484,554,
229,519,273,087,943,087,866,961,356,693,426,197,242,504,883,813,986,176,970,
057,131,361,655,241,922,932,929,511,487,268,702,394,170,320,196,609,771,797,
898,256,090,719,291,974,871,700,694,582,252,239,583,419,267,662,419,009,177,
334,570,971,170,934,268,758,984,443,912,201,432,160,846,112,808,997,591,019,
713,251,233,335,402,222,179,544,585,436,102,647,244,796,470,149,323,630,819,
367,490,210,044,366,467,196,457,450,474,824,333,986,031,072,433,586,227,377,
022,861,529,327,034,802,630,902,709,457,569,622,207,892,297,714,188,744,352,
184,021,428,112,544,739,843,037,543,163,790,634,606,923,506,722,633,271,057,
522,946,830,365,378,718,061,790,997,669,682,473,529,835,923,736,614,863,590,
759,792,942,550,453,675,727,271,920,341,337,083,730,718,886,824,831,795,535,
654,722,394,801,613,129,975,298,683,552,859,750,776,462,463,285,668,895,575,
963,844,008,737,545,593,228,371,254,246,516,846,043,183,935,402,349,622,724,
991,897,705,156,475,275,489,794,575,307,424,053,008,384,629,971,470,830,034,
856,313,245,566,475,335,967,367,727,548,758,813,445,363,714,852,712,985,288,
204,018,914,642,152,604,350,630,383,296,442,319,389,698,155,087,861,353,409,
905,327,889,033,226,418,180,447,845,014,706,754,204,002,454,580,536,084,159,
307,959,212,146,729,254,902,821,873,434,688,422,892,341,394,988,698,357,358,
713,983,079,262,636,089,807,434,443,713,816,686,270,251,133,170,733,007,501,
376,777,981,232,594,849,140,994,131,845,828,872,392,464,409,991,903,569,024,
350,861,935,688,143,996,546,008,861,881,050,150,123,720,919,238,366,702,966,
777,627,046,092,195,156,882,090,517,737,030,896,111,493,586,439,287,840,399,
568,612,556,130,938,663,252,496,009,774,178,526,471,691,455,173,456,714,594,
327,167,939,125,445,702,754,665,638,269,144,124,235,100,308,221,191,527,729,
568,322,258,745,965,982,945,298,663,220,573,890,595,979,363,706,402,675,309,
488,759,740,610,309,614,446,236,887,978,845,032,617,498,470,581,032,376,622,
668,519,811,827,765,288,045,401,400,164,197,724,441,194,623,792,641,990,246,
675,364,103,715,187,491,803,402,073,042,784,754,634,848,887,264,448,775,039,
289,000,100,075,701,853,768,633,801,848,412,393,475,102,683,104,858,518,398,
376,369,726,069,997,246,906,450,950,590,639,972,274,733,401,442,724,890,314,
548,284,530,977,080,133,788,372,046,520,356,447,975,870,055,218,933,080,243,
064,745,057,994,187,804,632,551,925,624,465,105,628,776,324,788,488,634,497,
482,763,358,088,011,012,402,884,809,938,074,791,885,479,265,216,352,201,635,
907,969,250,437,614,985,085,601,599,872,411,089,223,473,753,570,685,109,617,
161,745,568,460,877,914,939,907,409,715,529,771,858,088,601,856,858,052,635,
765,953,420,865,977,596,355,327,689,272,463,979,976,162,643,589,838,134,372,
213,941,494,101,664,135,215,279,921,943,024,352,715,566,964,300,001,029,655,
013,579,782,308,976,335,180,223,068,782,359,333,647,183,486,128,982,534,883,
796,795,583,410,450,159,536,084,201,639,103,492,704,240,892,656,750,365,630,
175,599,485,233,272,550,865,688,548,555,580,596,403,442,777,616,880,651,726,
198,785,367,957,349,642,273,923,899,742,602,609,184,575,892,917,398,293,785,
118,022,544,376,930,751,853,158,933,660,612,134,169,321,611,176,417,166,489,
414,420,635,849,412,637,814,442,049,577,556,907,431,578,841,473,064,085,104,
335,043,820,832,360,172,241,955,759,679,708,378,729,075,126,915,055,702,256,
322,105,764,766,725,851,071,003,935,270,499,556,917,121,104,632,172,017,814,
359,650,956,617,968,757,718,712,999,940,175,316,944,431,839,999,117,086,077,
528,628,287,264,891,034,559,506,333,163,575,147,262,838,132,976,757,818,642,
974,184,134,334,355,712,029,371,955,050,563,005,027,811,136,926,783,349,984,
025,510,632,295,286,533,665,343,393,690,716,033,681,978,919,078,737,910,588,
859,124,692,349,505,274,192,049,248,853,591,722,509,440,998,740,122,027,024,
194,463,605,885,849,638,815,640,295,113,492,506,974,773,133,384,234,815,290,
059,498,152,977,121,707,175,307,294,363,824,889,777,897,819,179,721,918,441,
380,627,424,947,561,665,754,271,036,416,509,683,693,359,070,649,316,591,884,
844,297,260,180,803,347,850,580,392,761,354,084,794,466,813,497,851,882,560,
913,668,080,381,839,601,811,483,485,137,838,952,473,931,287,750,856,750,889,
670,455,097,852,440,481,708,327,650,499,465,092,184,110,790,685,914,069,405,
479,896,734,332,670,449,989,785,287,185,639,048,215,693,419,095,107,852,733,
222,964,159,344,813,211,885,727,726,223,172,974,896,010,088,061,331,142,666,
567,284,567,543,496,146,825,357,390,123,810,094,283,277,715,159,275,303,391,
309,151,324,092,296,224,165,678,060,357,070,546,265,439,081,612,575,308,135,
074,504,556,451,247,494,021,804,058,242,949,606,656,896,307,090,932,314,692,
685,745,443,095,974,897,446,252,453,604,476,712,130,546,866,091,466,185,490,
484,506,409,002,132,976,418,951,466,328,542,523,580,883,799,433,413,819,390,
773,068,031,108,424,687,220,189,807,529,525,319,454,698,831,872,755,977,542,
727,152,259,181,340,069,520,492,582,173,573,774,241,241,627,894,360,355,170,
828,353,162,387,016,969,665,036,642,562,126,569,808,435,686,496,071,911,440,
448,658,174,429,638,286,913,633,498,587,978,977,565,068,648,215,320,610,675,
962,643,993,502,571,922,636,098,600,428,401,502,492,060,402,422,790,004,698,
869,120,487,933,432,142,409,374,223,989,633,683,131,116,202,178,119,339,924,
479,842,928,040,600,532,277,800,863,824,188,342,448,277,558,371,923,049,122,
666,455,735,834,884,095,563,297,763,953,930,619,026,781,773,461,877,047,129,
235,993,615,368,507,008,326,574,871,257,792,239,575,237,132,079,074,772,231,
989,858,787,277,851,832,445,999,286,886,810,267,286,263,091,598,670,951,237,
631,178,180,950,043,494,569,188,780,506,972,089,111,587,786,624,680,044,712,
380,273,127,108,087,052,280,007,675,155,083,839,030,087,103,284,932,845,587,
184,665,643,246,262,062,671,635,509,302,767,721,532,866,629,824,538,248,684,
781,463,231,452,942,426,249,481,332,225,919,473,506,812,142,957,701,388,508,
535,270,240,320,536,437,432,541,361,343,988,011,213,768,854,325,908,869,668,
671,047,892,083,016,521,862,529,646,658,361,696,379,721,590,545,528,501,136,
573,957,934,082,086,439,786,958,746,404,916,027,428,520,702,160,971,034,837,
541,011,120,699,578,572,873,187,549,078,185,017,069,931,674,337,156,094,151,
137,699,304,702,529,523,108,759,195,985,373,818,684,063,762,919,839,680,989,
259,212,902,090,082,578,162,768,700,983,753,266,537,500,763,247,929,282,151,
681,514,289,366,890,083,704,744,919,247,065,797,804,134,344,506,630,453,389,
904,759,889,116,643,595,411,057,539,682,024,180,980,586,161,436,658,193,035,
603,062,214,134,536,419,438,273,617,165,102,575,051,257,264,403,076,174,539,
038,286,092,142,624,029,348,614,157,336,970,690,569,144,064,243,890,147,917,
575,897,429,287,170,363,516,211,441,146,671,933,504,095,014,651,175,215,916,
371,027,716,661,990,698,860,204,880,706,112,275,156,756,391,272,950,360,389,
939,578,007,472,275,653,571,559,393,572,457,384,320,065,178,890,713,134,019,
184,316,344,122,039,016,365,205,784,202,785,250,799,390,998,370,678,369,730,
446,072,696,919,668,554,034,802,405,039,017,916,900,404,026,853,485,759,581,
868,529,031,017,636,385,475,073,533,929,520,457,041,390,323,818,074,458,348,
517,463,971,135,226,887,337,532,067,528,446,182,805,206,117,757,791,301,560,
782,801,873,747,975,976,190,730,912,266,746,933,874,087,875,428,122,785,504,
166,970,273,673,341,435,374,230,507,095,139,825,033,149,975,693,941,988,858,
357,679,939,593,309,339,435,094,235,892,520,474,710,757,931,402,992,681,699,
159,200,994,298,454,197,520,097,697,178,192,112,022,535,013,846,951,733,475,
431,821,588,535,330,705,291,812,260,888,086,512,731,022,289,199,869,468,577,
491,549,173,270,036,980,256,471,999,476,887,371,420,040,476,828,751,443,005,
326,191,900,374,953,525,608,383,558,477,593,709,620,243,645,159,894,358,341,
608,617,166,393,374,508,732,779,232,996,582,409,947,105,569,409,326,071,638,
687,663,831,306,962,273,805,526,677,500,452,881,795,493,585,397,396,475,091,
753,736,371,762,626,648,307,483,738,876,725,928,316,557,801,115,572,016,215,
024,473,502,147,808,815,081,775,463,360,840,876,829,850,131,137,936,943,300,
378,621,633,792,306,823,771,536,458,591,346,904,409,833,510,261,723,266,136,
277,038,223,402,103,208,910,574,097,222,391,140,092,369,005,482,196,625,431,
150,890,660,570,657,503,077,741,780,520,879,201,446,139,369,987,187,334,761,
234,631,063,678,711,547,363,865,475,177,647,046,704,626,068,481,096,750,988,
464,363,792,086,762,065,453,946,112,979,857,558,293,079,768,933,186,087,630,
937,414,510,443,463,087,103,733,993,663,533,330,002,674,088,160,625,390,898,
362,495,851,555,638,939,438,876,389,774,844,555,522,011,108,871,793,593,042,
986,557,539,608,945,863,711,956,484,181,387,465,914,907,759,163,957,846,386,
729,401,939,518,569,539,994,897,185,829,386,343,601,840,102,282,429,479,785,
296,022,183,655,125,577,030,184,228,935,566,782,738,072,782,001,812,199,037,
758,491,139,123,351,078,076,006,227,169,649,923,895,003,453,338,783,580,109,
936,981,798,341,689,084,366,130,253,469,695,359,797,700,982,066,704,016,502,
590,040,778,653,213,367,762,409,406,784,061,169,801,635,909,572,052,488,104,
326,558,982,923,437,546,365,026,173,335,094,905,478,925,814,119,445,492,191,
229,152,965,366,698,764,731,793,611,523,199,085,367,139,935,463,243,426,059,
484,639,582,907,928,708,283,460,794,128,555,760,536,627,194,250,233,900,790,
507,460,901,278,894,827,598,017,438,092,391,248,815,107,692,723,235,957,747,
935,361,055,309,904,812,482,409,799,929,914,168,728,300,114,462,887,053,891,
182,375,158,120,389,521,986,610,971,080,904,585,208,158,941,588,902,214,996,
940,027,419,967,128,635,320,885,746,874,248,886,321,351,282,109,954,661,007,
019,360,685,477,229,123,052,627,855,474,784,473,750,094,209,846,452,289,182,
294,573,883,302,009,623,628,248,125,412,569,802,147,972,434,676,727,847,924,
995,735,405,639,892,944,000,130,801,264,750,444,223,475,244,687,729,994,237,
319,341,036,217,689,247,101,152,621,171,633,263,747,068,824,674,063,023,076,
572,469,096,833,105,360,508,100,753,485,962,235,390,978,329,907,562,853,109,
284,683,284,934,918,376,735,105,812,266,410,441,385,318,031,337,946,741,048,
593,811,504,091,305,573,995,928,541,572,270,731,733,566,392,669,678,638,770,
342,334,877,076,208,967,316,941,273,728,647,296,855,100,740,009,618,713,154,
596,005,062,809,944,525,917,796,970,514,070,921,420,583,973,098,217,909,276,
286,071,664,005,313,569,649,679,637,358,062,500,838,976,905,068,507,706,526,
988,086,854,494,713,331,515,799,608,652,947,017,998,363,332,974,204,861,301,
219,737,949,230,327,524,665,105,002,024,466,519,628,466,941,234,607,018,216,
709,491,499,713,502,011,998,818,229,758,095,251,802,893,275,724,428,641,311,
068,677,981,048,098,868,804,190,670,315,498,515,430,348,125,105,952,523,105,
068,318,013,392,218,133,481,057,740,251,057,598,875,943,050,944,387,332,184,
133,528,112,447,027,798,944,244,227,842,950,988,457,876,399,790,448,128,619,
869,977,690,895,425,676,637,445,193,586,678,012,442,539,962,264,583,367,860,
354,385,874,955,254,616,697,575,258,405,425,152,149,328,101,011,334,559,044,
623,310,526,171,472,925,498,051,408,615,138,086,483,870,739,374,361,040,956,
773,168,427,697,813,250,757,977,024,094,865,258,642,545,485,402,199,704,843,
231,349,610,266,007,482,299,021,498,898,830,226,605,234,495,976,874,437,140,
700,763,507,012,005,593,993,106,745,079,370,048,344,919,955,279,440,694,995,
589,784,413,841,945,234,886,447,120,655,547,218,540,701,451,439,534,136,992,
966,294,075,672,211,492,107,668,091,085,084,212,715,344,745,236,176,302,529,
244,005,404,073,613,804,874,829,392,461,472,191,670,027,844,868,906,063,553,
564,742,153,557,718,660,810,218,554,892,549,428,072,603,672,957,948,815,627,
197,423,552,476,585,967,651,246,941,415,013,460,036,111,043,226,636,424,393,
800,486,629,191,593,465,418,163,775,608,054,415,111,370,316,595,667,278,189,
956,387,774,899,305,993,477,259,946,611,488,851,041,875,258,870,007,117,580,
709,432,346,030,376,183,937,653,578,446,881,323,347,425,224,073,148,647,749,
572,026,227,286,750,582,977,325,260,720,335,679,852,124,748,339,226,037,179,
400,716,178,393,072,278,022,492,587,069,136,354,640,699,032,304,530,503,103,
619,702,046,505,503,921,381,565,384,822,102,513,663,842,340,295,235,483,745,
514,300,115,016,672,492,889,613,219,559,919,328,491,209,580,917,818,411,966,
822,678,319,582,033,353,699,536,061,897,579,350,948,555,800,858,194,271,544,
578,051,999,327,277,034,267,229,685,439,672,211,819,715,462,527,403,970,382,
987,158,314,673,617,982,792,161,549,043,535,470,504,676,249,910,489,180,789,
065,228,766,920,266,850,362,611,005,815,521,815,347,864,813,132,173,574,726,
482,449,624,525,610,027,132,531,990,471,938,442,370,762,326,066,439,401,438,
877,809,424,763,002,204,238,844,971,759,323,492,745,139,782,370,269,312,018,
128,817,699,717,103,377,839,080,557,646,531,187,208,976,536,777,877,804,744,
572,293,410,155,772,733,643,274,116,773,297,023,065,509,709,112,551,516,015,
746,094,564,140,379,954,442,444,266,491,922,631,485,272,480,064,310,569,307,
805,045,346,106,052,916,323,104,514,083,677,128,383,508,684,827,664,456,726,
976,394,589,227,229,616,198,248,217,240,387,143,310,161,575,073,491,928,145,
792,907,118,515,885,543,323,968,456,738,232,371,197,444,828,622,007,641,623,
343,404,543,804,463,587,801,697,055,865,247,520,910,440,509,840,507,687,281,
416,911,556,685,210,878,632,562,669,807,504,813,654,476,908,794,861,224,237,
122,981,585,699,779,829,923,249,564,370,684,039,605,494,669,237,321,176,902,
466,423,426,036,554,617,899,419,378,120,685,523,712,965,831,172,925,428,660,
680,494,337,094,520,838,947,023,458,012,958,857,083,141,036,741,225,556,008,
253,230,791,001,839,226,744,702,903,007,170,659,739,702,187,508,462,814,979,
184,166,441,395,176,717,727,497,321,391,952,450,596,104,296,633,107,120,188,
471,014,159,306,345,536,617,261,747,807,632,704,423,206,045,758,756,137,997,
458,977,600,448,476,552,746,127,229,431,146,613,108,417,879,920,972,160,390,
395,611,540,110,108,118,187,418,896,186,516,132,457,448,355,642,734,456,612,
579,847,780,156,046,267,269,300,303,365,570,871,834,765,918,087,162,296,977,
980,958,322,689,378,490,940,377,854,583,331,569,154,659,817,572,611,013,913,
066,362,438,559,694,972,599,756,348,765,918,354,648,738,511,178,509,531,797,
723,276,544,023,583,393,054,856,313,003,313,511,748,425,404,901,677,795,469,
059,577,301,897,946,368,260,020,986,788,373,597,430,349,328,030,925,816,537,
292,901,600,092,113,547,699,749,404,155,512,517,631,754,371,343,956,085,621,
215,224,068,589,907,468,243,354,462,090,606,782,573,848,143,051,842,419,160,
674,849,936,286,595,679,780,844,463,970,945,479,085,779,790,940,577,345,228,
827,647,431,961,670,379,328,024,985,116,320,537,544,826,719,650,824,997,813,
268,447,082,713,374,662,350,760,399,114,779,676,764,868,287,209,760,007,129,
463,914,556,452,379,266,860,193,407,271,886,696,322,152,512,640,001,022,598,
182,044,220,962,938,249,757,697,912,680,111,653,033,151,538,576,519,443,499,
863,204,782,444,041,008,479,349,995,128,944,548,855,197,043,821,148,689,207,
339,261,619,949,173,843,418,329,237,885,118,431,345,840,233,014,525,469,132,
597,904,585,226,535,060,905,202,870,677,893,019,758,431,421,056,208,716,191,
934,137,162,423,719,514,179,280,825,655,106,704,759,297,096,627,952,084,705,
986,236,066,034,073,521,453,899,869,154,452,076,442,722,387,616,900,408,373,
691,325,973,083,990,647,990,078,667,057,725,994,957,109,481,926,531,109,348,
265,476,024,233,029,339,288,742,185,929,884,415,315,242,591,692,485,931,307,
032,334,141,090,586,656,524,031,745,499,417,418,857,903,364,033,307,913,615,
263,672,463,394,836,558,773,080,722,638,667,763,872,347,260,606,203,021,249,
174,048,947,964,323,397,078,718,139,236,123,360,698,473,339,619,757,259,328,
599,878,086,407,432,883,290,866,686,123,696,287,462,518,608,979,851,775,896,
163,741,894,687,007,138,521,074,091,880,445,533,911,979,271,810,865,495,674,
758,311,463,692,960,284,476,482,216,692,919,926,541,000,960,247,239,084,808,
906,829,236,931,184,794,867,106,946,682,543,935,309,570,805,079,831,073,583,
985,915,085,190,090,508,009,661,702,809,624,585,110,014,357,799,025,334,723,
758,454,404,406,168,603,465,877,375,156,712,765,766,527,895,099,166,758,020,
759,524,350,801,338,902,633,092,970,257,684,076,269,608,033,912,996,515,766,
268,933,018,931,512,405,241,929,168,643,620,721,573,100,671,569,331,060,085,
926,175,374,732,037,994,026,994,209,814,695,997,463,815,574,285,160,968,208,
910,795,645,390,315,543,122,088,531,918,540,447,043,434,820,589,796,477,364,
900,433,977,045,324,150,677,017,346,697,583,406,317,958,778,512,743,278,292,
239,973,061,406,345,897,399,788,347,023,211,783,117,636,792,069,990,276,337,
238,023,295,522,706,305,307,936,589,423,242,888,842,392,179,675,477,509,900,
911,435,907,492,589,605,262,724,104,432,105,133,204,564,058,771,657,897,689,
790,107,339,505,711,833,701,936,828,072,199,252,967,843,846,446,067,731,500,
944,223,015,962,796,782,234,921,350,243,849,714,060,958,168,482,028,528,021,
147,616,796,321,869,838,583,193,152,219,807,622,786,730,159,219,016,665,555,
542,756,189,491,567,619,417,169,717,232,867,796,781,469,480,924,982,324,079,
860,947,301,403,862,945,189,210,103,296,996,726,459,674,551,427,037,022,788,
580,670,387,079,958,238,480,709,775,292,361,430,517,222,469,248,326,818,945,
940,211,119,294,777,721,123,196,200,893,707,122,486,771,885,092,882,480,402,
570,024,288,630,578,097,832,685,989,158,622,209,282,404,339,041,162,266,911,
457,370,001,337,026,733,780,045,363,343,686,423,195,338,288,133,952,884,266,
385,529,296,227,023,016,837,076,892,117,695,499,749,595,567,582,317,072,563,
844,883,270,419,879,427,163,319,668,325,524,436,495,018,936,906,349,751,538,
112,099,375,646,625,087,170,664,919,619,152,095,630,839,593,119,192,349,709,
256,752,091,291,737,105,163,291,082,671,140,962,401,403,332,303,872,261,036,
564,064,355,987,208,587,097,526,393,284,136,241,439,199,128,151,021,893,934,
624,241,352,719,652,556,587,231,317,079,898,952,321,390,521,235,749,905,748,
130,875,650,331,030,267,603,370,192,668,385,745,508,409,941,786,673,158,955,
632,897,156,098,808,991,115,942,081,847,067,456,423,079,255,859,737,700,321,
856,293,044,127,577,953,611,025,424,313,880,895,037,561,322,284,588,941,615,
170,456,700,395,760,841,771,427,849,211,547,210,350,181,055,071,720,197,036,
595,251,141,717,438,260,643,654,858,065,626,349,987,612,880,864,190,068,001,
786,893,578,870,332,972,564,041,549,210,268,103,679,540,459,012,613,929,820,
886,884,227,888,279,238,897,663,407,131,077,759,481,501,150,620,435,652,528,
067,408,085,734,038,618,842,683,129,256,380,460,075,058,333,234,661,985,091,
587,740,251,124,875,591,258,228,085,496,074,806,910,624,994,046,880,772,339,
391,427,528,409,351,015,760,106,548,908,625,054,113,112,976,992,664,810,402,
767,279,214,992,857,154,434,040,132,195,947,138,324,560,193,532,214,437,995,
173,370,266,098,744,484,334,089,853,033,490,728,945,639,280,306,652,417,831,
874,964,590,716,917,024,315,521,679,594,234,004,226,211,056,587,808,143,958,
522,927,081,804,273,470,355,648,619,154,363,058,290,357,490,327,552,783,070,
697,514,682,547,235,285,921,940,650,956,113,028,464,504,892,476,968,184,216,
869,204,832,203,375,185,494,408,914,145,889,364,516,801,876,510,527,083,819,
045,362,455,178,184,879,663,131,652,737,767,774,753,596,841,675,391,289,912,
161,575,380,754,032,016,086,622,420,324,855,888,557,281,181,046,406,575,391,
209,645,886,347,662,977,817,941,724,870,958,668,447,570,112,953,286,360,338,
450,037,725,857,642,216,299,019,526,370,758,233,822,184,282,614,921,721,395,
620,919,870,925,676,548,088,363,711,250,234,853,598,060,092,077,747,026,237,
034,177,360,444,978,584,744,199,156,021,412,767,172,749,103,280,014,290,194,
839,599,109,994,651,187,472,039,309,865,773,446,871,131,025,563,091,520,877,
240,303,323,149,648,844,041,211,277,603,781,934,635,929,496,847,243,879,865,
378,398,968,562,942,395,808,422,223,520,682,160,446,136,964,514,530,799,110,
857,077,679,354,976,851,995,102,712,689,883,968,306,982,775,158,210,556,913,
678,519,747,683,265,002,483,928,798,210,018,198,283,146,140,939,406,873,412,
960,939,926,820,943,416,615,238,043,118,516,402,334,732,408,272,885,165,352,
369,147,740,576,252,920,134,562,307,319,266,697,747,006,124,940,843,066,525,
691,055,832,831,591,039,390,729,875,671,414,139,881,544,869,350,501,296,788,
594,987,846,197,761,301,426,519,282,892,781,501,912,851,671,098,167,718,810,
030,837,273,754,310,530,881,341,201,389,817,993,873,364,103,766,965,412,545,
264,371,036,744,403,685,457,587,869,896,618,973,338,155,601,665,245,958,810,
644,947,324,526,773,602,451,107,758,481,578,758,510,151,642,975,518,569,833,
150,693,786,983,213,155,608,468,410,065,795,036,580,769,710,812,218,304,782,
915,768,404,232,367,773,247,715,916,362,894,456,925,889,109,509,279,188,257,
803,090,035,406,655,638,328,396,961,551,338,846,590,837,130,333,606,324,638,
959,973,600,691,644,325,422,762,829,341,836,671,237,597,768,097,403,428,660,
062,572,440,189,761,347,157,509,409,346,761,709,214,216,478,085,732,523,215,
872,138,263,090,370,105,707,690,939,796,035,549,244,866,024,796,072,154,923,
223,573,232,225,417,768,881,766,847,809,138,716,350,414,771,734,217,604,940,
710,926,236,944,504,479,157,506,803,488,261,957,361,784,977,050,842,945,707,
819,103,930,241,278,978,261,448,129,057,054,362,363,111,096,772,657,441,078,
022,775,360,742,281,573,973,378,736,747,873,193,696,436,467,006,269,615,698,
277,423,382,048,524,855,309,576,441,009,984,904,845,289,273,539,792,307,738,
540,251,909,886,974,759,866,631,286,922,841,341,572,635,612,906,590,341,117,
522,415,533,932,165,751,183,139,969,518,307,669,102,168,950,585,088,934,557,
346,459,567,179,570,764,721,554,085,729,696,078,165,491,768,730,833,307,170,
835,841,571,457,348,020,686,718,771,929,825,405,294,633,297,533,485,297,806,
069,227,000,299,768,292,647,302,290,726,084,315,875,503,203,103,558,267,113,
694,949,294,364,856,354,431,680,309,288,183,674,132,825,860,587,544,454,145,
132,899,340,763,688,099,723,067,675,782,483,798,324,296,172,688,108,862,823,
464,871,955,121,185,890,063,149,968,089,121,176,323,535,367,746,572,032,951,
440,530,418,688,388,038,463,945,160,311,402,617,555,179,810,804,496,926,197,
034,606,036,634,698,782,467,987,237,739,244,116,041,308,230,730,658,804,225,
568,275,771,413,050,210,532,429,126,945,723,695,540,380,074,839,957,150,797,
424,469,371,551,778,950,468,890,238,318,084,559,173,427,695,526,554,749,751,
282,376,464,100,857,065,842,374,820,366,938,054,133,104,338,134,300,203,440,
537,198,635,775,507,508,433,383,379,461,024,265,432,927,635,377,539,141,161,
343,319,295,965,170,427,101,020,558,929,920,478,652,799,047,812,313,798,904,
308,996,350,570,864,744,818,270,261,500,960,607,160,189,426,215,005,751,615,
276,190,540,622,687,010,225,499,204,318,424,427,149,050,425,249,209,603,782,
131,981,094,361,714,195,816,286,660,124,198,116,204,418,013,490,156,389,325,
762,170,720,116,582,892,079,009,916,398,205,858,887,989,569,212,563,675,111,
679,307,832,914,254,302,667,820,118,290,708,305,204,544,515,227,986,240,421,
628,350,230,144,551,340,617,389,742,959,154,158,509,257,690,253,457,338,376,
620,558,368,922,551,205,710,371,824,753,494,750,569,797,270,764,054,270,873,
391,671,335,106,288,569,590,302,346,510,983,112,690,175,310,015,935,543,713,
284,406,025,963,789,176,231,371,091,781,585,167,299,917,343,775,171,477,914,
813,980,473,846,380,378,625,458,449,097,042,017,532,597,533,175,272,685,288,
868,581,015,680,628,378,464,965,459,216,026,121,987,098,820,653,450,340,771,
401,898,037,188,191,976,981,791,986,549,223,084,550,188,124,551,595,554,561,
431,877,799,869,751,503,683,345,247,378,914,333,498,005,662,488,052,580,703,
437,961,953,041,008,434,358,356,560,353,607,855,836,568,375,950,804,855,157,
535,359,161,857,116,139,246,438,721,736,667,934,268,175,242,840,194,143,805,
143,185,850,348,951,943,451,163,739,174,438,698,379,713,466,069,903,812,847,
314,391,697,093,376,190,053,080,982,284,598,302,588,582,528,320,994,268,080,
273,545,535,666,171,817,603,593,260,930,933,568,136,540,568,362,665,260,773,
381,822,987,784,349,945,117,722,820,066,318,085,012,747,653,139,959,958,543,
458,551,876,358,243,547,415,892,540,874,316,618,413,019,404,900,451,921,262,
992,404,652,864,841,291,612,214,150,624,696,781,622,592,107,149,231,424,142,
462,641,235,571,441,705,021,767,335,674,037,362,727,062,553,227,679,651,362,
720,907,243,991,243,681,404,925,968,744,590,371,350,222,642,528,576,065,847,
387,536,784,571,010,330,173,147,890,753,238,959,688,564,854,762,083,100,416,
172,720,101,558,305,909,436,511,340,572,699,374,817,510,712,930,597,195,209,
122,675,591,706,431,656,912,047,676,942,297,420,438,630,478,031,503,841,466,
631,923,682,008,397,600,090,454,582,961,149,516,512,202,661,007,513,060,142,
051,795,707,830,045,310,734,238,642,901,764,034,414,151,495,167,592,299,041,
522,595,837,107,232,596,371,252,908,726,111,222,355,033,659,494,906,646,633,
102,324,967,619,118,148,864,231,732,138,753,002,445,795,243,542,354,848,507,
326,763,104,187,321,810,081,942,723,234,940,804,577,489,740,510,158,799,164,
526,304,782,357,646,055,216,245,638,626,348,726,143,946,333,152,062,915,197,
157,948,065,339,164,919,805,830,932,688,957,254,504,670,774,475,478,796,326,
207,649,306,099,635,207,298,275,526,720,012,341,387,178,820,541,412,855,037,
569,096,838,180,088,517,560,316,009,747,095,808,106,503,825,335,081,616,279,
660,148,977,182,605,354,980,311,968,674,358,375,711,865,373,819,850,774,110,
353,988,614,939,868,652,519,498,058,863,821,884,310,314,811,851,952,545,107,
886,844,181,793,911,816,423,054,023,522,754,908,428,688,330,664,690,185,116,
982,504,049,524,943,676,945,093,146,262,062,141,574,584,850,180,313,011,400,
667,482,392,377,105,991,417,956,027,145,452,496,137,924,901,795,229,521,060,
482,964,786,602,912,619,753,317,619,956,811,943,618,121,985,643,823,308,094,
215,462,323,815,976,848,060,768,372,852,448,850,281,602,255,965,000,916,140,
890,390,285,312,112,223,639,258,545,023,764,246,242,658,609,418,435,152,180,
640,739,269,768,197,069,337,101,775,408,054,389,446,984,407,226,083,725,011,
076,227,928,711,277,939,982,893,652,654,618,806,987,667,309,339,856,104,967,
694,555,340,853,920,027,032,448,935,533,384,908,533,392,801,535,766,670,328,
928,592,326,075,268,042,009,353,816,892,981,264,855,067,309,389,605,869,617,
233,441,130,522,502,422,036,016,278,600,907,352,445,336,386,663,176,233,306,
011,320,399,654,977,756,511,927,885,741,488,618,111,654,382,298,548,518,352,
969,211,670,004,072,935,799,884,068,766,276,218,027,715,712,552,570,879,211,
304,826,517,791,160,548,288,904,184,340,008,974,356,178,868,043,110,218,051,
391,939,516,962,800,586,888,470,142,377,775,766,124,485,781,150,602,562,636,
933,643,337,364,739,826,490,043,494,681,803,404,518,159,460,253,733,076,026,
537,050,963,419,182,146,439,801,233,093,308,317,433,240,514,710,735,094,038,
281,358,280,674,550,475,471,605,890,842,796,227,660,751,248,461,903,254,538,
330,428,332,929,880,719,418,608,386,723,580,040,999,355,879,678,667,657,737,
159,139,148,611,132,004,816,691,230,758,013,339,708,552,810,388,024,102,022,
449,848,808,015,817,677,127,204,119,495,864,919,308,880,655,564,418,849,620,
152,420,213,119,167,832,827,290,279,078,774,907,169,383,584,285,595,486,788,
162,424,985,145,783,601,610,095,660,733,706,519,950,632,655,323,841,442,910,
468,427,145,066,705,903,614,399,038,690,405,801,863,625,198,895,870,800,901,
468,173,511,236,572,670,787,803,918,811,003,842,522,615,869,006,867,517,022,
357,159,740,456,719,352,787,402,981,703,158,701,359,348,129,098,003,801,701,
554,602,427,561,893,942,697,339,217,912,280,844,665,079,136,785,289,694,253,
848,439,938,296,667,302,757,295,721,997,213,635,185,959,226,733,291,682,222,
212,563,023,373,408,126,305,715,566,580,995,335,744,242,009,556,915,337,731,
361,044,474,910,963,331,727,052,286,851,492,109,407,423,827,439,616,921,009,
632,580,864,633,026,558,332,788,174,930,628,283,709,852,170,911,335,779,637,
065,530,275,513,972,976,521,916,979,799,260,579,851,723,629,327,006,155,971,
955,767,387,016,437,233,242,717,474,322,745,350,738,550,468,572,773,590,892,
867,014,634,034,237,271,974,764,902,591,600,801,655,428,212,667,417,082,573,
725,836,344,905,942,711,126,519,938,179,051,946,563,788,121,848,617,886,130,
935,988,657,702,754,773,300,353,736,339,376,954,930,965,047,485,633,908,159,
387,177,764,964,137,323,068,530,502,838,091,199,293,483,620,589,525,014,328,
928,011,440,086,900,943,801,232,700,878,969,942,122,320,076,118,116,342,100,
927,139,323,270,001,639,830,164,280,678,208,114,835,225,169,024,817,048,584,
508,365,305,426,914,655,332,182,929,074,872,484,807,800,526,260,979,547,408,
868,445,955,490,922,424,891,886,333,624,011,433,474,755,420,579,316,323,283,
777,064,242,940,357,909,646,807,657,567,207,270,484,019,975,255,394,271,432,
826,260,101,169,609,617,114,549,837,884,487,154,633,081,110,245,397,940,939,
416,055,920,035,400,534,061,349,902,545,634,309,815,340,684,469,870,711,594,
997,906,746,952,790,153,429,482,821,180,154,499,648,331,766,401,731,521,112,
906,828,098,078,045,692,443,413,409,768,045,270,596,824,833,886,433,222,397,
348,597,634,431,098,441,388,635,131,230,917,997,693,961,423,527,772,083,422,
944,293,082,553,329,624,612,039,057,557,695,615,614,368,882,938,820,962,638,
276,091,973,756,844,550,594,083,513,695,342,445,365,967,953,256,813,722,274,
362,797,472,112,184,052,351,744,067,886,193,667,272,481,797,780,638,294,654,
586,127,845,252,217,773,263,200,093,672,740,927,097,226,265,170,001,998,381,
226,329,551,348,905,740,400,514,368,164,813,993,977,611,970,479,529,143,891,
577,396,156,712,341,449,621,085,173,326,570,438,698,003,139,046,346,237,895,
474,098,383,988,846,548,338,422,956,418,942,339,798,029,098,729,412,223,228,
857,552,479,075,517,197,310,685,155,284,204,709,441,413,984,249,676,144,086,
995,915,773,503,103,101,568,759,232,115,122,561,880,748,498,089,023,166,765,
756,974,579,845,563,322,274,682,668,311,612,739,425,746,753,418,754,903,623,
327,219,085,230,532,797,578,146,396,622,501,644,384,929,396,016,301,092,983,
783,598,565,978,660,382,148,974,785,732,873,257,186,405,495,752,497,599,805,
193,700,652,311,437,398,315,943,471,393,598,584,581,484,979,217,297,644,779,
556,950,708,749,894,633,047,633,488,825,976,800,398,715,980,313,016,752,462,
374,775,128,949,362,718,819,051,424,567,672,401,169,070,785,410,677,319,215,
565,584,139,239,511,040,227,986,460,935,841,440,893,629,415,570,852,255,827,
913,509,818,207,714,160,349,335,316,994,628,436,422,039,593,568,600,016,394,
564,541,199,227,417,471,977,569,942,309,401,672,669,570,682,807,464,173,933,
845,930,640,519,999,349,045,053,633,938,025,375,896,120,704,662,021,209,253,
157,634,763,884,606,797,711,504,795,543,943,899,007,266,367,251,599,267,199,
378,013,186,903,348,253,368,925,696,496,767,913,520,558,863,043,470,541,901,
475,765,448,934,909,760,712,314,293,594,718,137,405,845,455,104,170,487,294,
123,979,859,627,077,638,326,347,396,747,283,685,864,873,512,185,418,163,003,
385,181,613,257,744,037,729,085,470,006,135,938,042,203,215,168,913,061,884,
742,477,607,735,979,490,868,745,187,844,056,172,655,182,986,788,256,672,247,
696,448,042,188,659,967,397,075,887,544,889,670,891,972,758,711,466,986,165,
785,181,782,684,843,143,031,788,751,667,458,232,238,029,689,118,955,635,316,
665,092,845,513,181,113,828,351,587,210,894,018,493,785,185,103,288,590,339,
171,523,789,498,758,084,016,134,423,824,623,112,533,534,447,254,582,346,998,
389,850,611,803,104,464,434,374,185,628,275,755,241,100,168,116,715,812,809,
522,424,832,794,068,528,053,150,818,898,891,122,476,120,222,020,451,075,460,
583,341,138,694,682,425,292,103,125,552,797,182,625,483,966,391,611,025,600,
514,337,779,413,050,349,922,528,456,754,597,318,949,605,451,389,536,755,168,
310,168,089,181,204,048,461,945,697,630,379,927,715,975,145,882,690,304,292,
660,386,004,657,206,197,587,130,833,127,126,654,164,012,922,941,744,088,959,
793,517,675,102,561,774,871,895,449,883,875,149,067,317,579,011,973,802,535,
921,014,110,938,310,253,196,173,325,504,287,361,720,890,120,141,846,278,575,
270,957,731,067,277,674,076,044,393,469,023,969,806,546,043,371,035,139,181,
457,858,663,101,105,992,845,430,081,271,898,169,635,077,484,431,423,325,880,
567,123,625,879,141,989,314,816,496,011,864,392,861,929,035,967,690,783,118,
952,120,210,754,080,273,708,634,854,125,080,100,569,214,681,765,412,785,436,
426,691,112,506,654,671,755,697,316,274,187,350,369,747,744,926,012,243,803,
404,752,354,548,830,632,138,397,925,215,739,606,108,893,369,691,272,491,473,
185,725,629,176,936,898,370,580,819,723,549,436,041,672,655,049,130,711,672,
514,072,597,430,378,963,857,508,943,731,244,748,650,294,958,102,119,591,942,
890,728,862,349,865,437,641,461,373,464,431,606,959,805,612,211,836,045,737,
164,781,072,243,023,738,868,505,991,538,005,534,816,802,409,988,009,720,155,
167,501,692,680,751,974,364,208,642,984,617,213,940,902,705,714,762,734,890,
228,875,394,417,270,656,211,554,875,914,817,492,436,114,391,858,295,448,691,
756,288,728,086,712,718,475,816,802,624,320,862,111,352,665,493,194,945,147,
004,404,429,494,378,900,374,421,686,686,487,819,615,682,806,233,439,482,716,
136,449,986,671,936,613,180,858,318,605,082,406,384,558,027,250,522,545,477,
059,362,375,863,142,118,602,131,914,772,332,894,832,433,030,889,008,695,550,
931,230,087,571,258,851,052,806,606,186,371,710,174,219,504,113,070,586,784,
132,574,610,256,931,937,088,661,837,794,325,774,552,251,826,114,866,509,712,
806,192,456,445,226,656,851,066,995,821,972,387,904,973,424,733,171,192,607,
007,054,196,356,679,155,861,542,755,682,331,358,975,452,067,114,986,084,503,
965,824,222,591,038,650,349,475,959,635,831,915,599,244,324,704,238,027,835,
235,440,277,807,888,688,550,083,537,877,783,130,057,483,155,408,237,961,686,
490,581,263,025,144,993,514,142,037,046,921,143,289,923,069,820,635,633,504,
996,501,296,623,751,878,755,713,134,187,480,112,959,365,385,110,556,639,411,
555,764,811,698,990,699,868,538,500,487,766,281,933,762,988,854,812,828,598,
696,808,691,392,779,289,185,879,258,295,927,847,235,950,661,550,565,128,409,
384,016,700,575,472,091,916,552,794,887,218,403,426,863,838,502,575,461,273,
412,184,577,187,754,264,009,823,322,351,198,744,439,198,845,784,554,147,250,
281,815,971,095,832,769,779,590,837,403,804,075,138,320,752,277,469,916,232,
930,495,180,948,595,270,606,838,745,423,646,464,786,391,623,521,429,057,313,
346,502,500,531,749,203,308,904,539,972,347,350,501,515,072,843,181,012,469,
931,613,218,151,942,440,102,001,472,761,655,856,908,497,594,010,417,981,687,
466,815,853,266,361,445,316,934,536,399,108,380,689,874,505,082,387,893,741,
933,874,353,102,691,646,091,223,487,191,156,928,340,736,716,037,793,444,460,
253,568,534,984,441,330,325,909,179,257,611,705,120,866,914,576,027,983,166,
093,828,645,701,445,377,423,002,771,683,035,760,083,517,384,876,927,935,842,
728,334,333,498,328,994,729,827,718,563,121,536,321,815,223,452,593,477,659,
566,048,328,540,373,692,391,887,396,316,357,958,682,600,635,773,953,090,280,
856,135,236,045,806,334,998,183,504,632,460,455,326,766,380,148,510,976,500,
243,688,511,592,354,676,748,697,138,362,761,742,372,399,970,287,345,230,358,
731,263,771,866,262,577,445,826,425,880,035,902,236,156,690,734,532,925,716,
296,915,502,964,478,364,636,564,560,483,288,008,570,467,059,159,887,216,065,
671,739,233,590,384,695,302,490,946,712,955,592,661,481,409,969,727,924,326,
024,742,821,719,221,003,857,310,880,450,929,710,817,477,898,931,814,443,237,
224,562,852,848,719,512,546,971,147,324,135,189,443,090,953,977,971,389,560,
801,577,815,403,130,686,358,433,227,198,306,653,914,675,130,067,027,167,551,
044,673,199,134,840,827,741,714,734,181,549,754,631,551,215,217,238,828,066,
261,293,654,900,796,012,976,091,754,568,379,899,758,215,709,066,904,096,917,
424,476,426,018,246,277,305,477,756,820,610,822,794,087,799,843,875,435,744,
448,159,228,753,562,653,145,461,681,841,350,642,084,149,170,582,588,950,062,
729,950,718,084,093,974,795,217,154,725,064,249,482,589,139,761,390,658,012,
295,972,341,234,663,378,231,662,233,863,247,626,034,157,676,549,315,515,663,
890,298,895,828,078,482,630,232,187,899,463,659,318,499,013,456,326,321,418,
820,280,233,041,989,936,227,419,777,647,386,150,297,682,631,963,307,225,493,
329,095,536,839,539,428,402,320,780,496,618,072,860,616,037,654,332,061,157,
235,951,665,962,093,851,443,319,387,357,589,333,432,901,034,536,545,420,222,
240,170,024,085,426,484,951,620,335,176,314,527,522,014,572,612,301,000,735,
389,634,182,478,272,646,899,704,178,488,061,880,626,981,491,730,038,237,380,
092,749,191,965,176,474,837,526,856,483,793,788,771,957,258,233,088,699,504,
616,853,893,496,946,350,515,343,091,733,756,932,991,068,865,294,663,387,874,
014,368,779,873,481,243,233,876,423,844,384,993,591,321,992,342,343,810,403,
842,257,379,002,400,910,965,641,321,660,724,221,677,074,368,720,704,446,996,
261,831,647,966,173,883,260,608,387,411,146,556,792,884,926,966,021,180,583,
972,119,097,601,893,111,800,978,168,573,940,890,399,694,908,743,143,287,100,
772,751,064,517,953,111,481,748,667,930,788,537,073,699,178,991,571,227,882,
423,007,725,556,967,229,701,752,248,685,473,280,747,126,623,794,596,258,015,
546,557,467,830,782,435,827,698,812,694,913,089,741,374,287,978,565,026,376,
324,233,788,684,391,627,384,773,253,336,837,637,554,537,369,719,687,528,387,
801,667,886,855,557,596,127,079,244,516,742,894,160,978,492,034,112,648,977,
698,066,932,509,203,119,418,022,513,160,597,822,230,423,559,276,684,958,414,
623,599,799,209,560,044,505,194,257,103,745,120,490,560,764,499,623,857,589,
205,900,508,581,060,101,567,112,411,706,144,863,163,099,998,798,761,483,303,
024,184,811,837,543,702,362,597,367,313,793,028,648,319,602,995,860,700,738,
879,996,521,606,601,380,032,171,589,504,931,430,932,619,227,963,417,495,135,
926,869,007,262,582,780,399,271,417,168,756,153,816,932,789,753,785,887,087,
791,297,089,763,300,232,982,412,905,507,794,623,997,344,264,019,425,246,122,
625,562,912,258,837,242,801,984,397,961,407,735,556,877,909,214,078,546,195,
937,185,312,130,936,463,939,589,407,390,691,147,806,310,300,769,227,799,886,
493,081,896,920,161,230,794,131,205,852,272,449,898,023,072,855,971,381,395,
765,834,012,101,194,886,231,583,903,174,130,437,300,043,460,864,627,313,069,
629,230,244,500,519,836,192,192,199,561,225,690,828,944,231,641,541,700,008,
760,570,458,987,518,395,678,753,230,078,941,040,436,144,621,283,588,582,794,
316,163,698,636,049,248,125,579,534,723,273,333,816,432,920,982,247,213,419,
644,980,270,957,660,402,874,299,507,129,578,135,017,045,642,211,867,641,455,
163,474,103,364,043,742,662,871,097,009,537,447,214,884,529,699,643,039,601,
099,147,438,410,367,404,333,437,872,550,598,798,663,615,746,212,432,297,989,
024,692,341,865,532,930,121,519,866,641,496,643,778,889,774,308,030,377,141,
341,226,685,812,323,100,971,291,809,829,546,045,552,536,625,013,475,694,406,
458,520,132,147,613,276,677,670,488,509,349,989,669,678,523,862,030,739,250,
741,957,352,263,841,792,137,564,128,036,783,088,771,351,082,745,204,514,270,
228,835,305,208,426,727,330,676,303,575,318,086,143,817,196,276,995,278,430,
432,783,728,556,057,066,090,921,347,097,181,396,288,212,602,274,807,708,731,
268,496,941,995,052,979,876,900,912,739,702,637,722,603,162,285,025,791,101,
509,450,403,093,302,776,237,459,846,022,678,899,059,389,714,316,944,960,944,
240,764,754,942,595,698,217,694,284,854,746,025,419,284,024,549,060,173,841,
352,106,174,673,307,329,312,445,005,246,208,763,537,330,301,121,691,920,822,
007,224,237,043,747,536,771,120,955,693,218,392,111,066,348,868,676,959,664,
718,057,296,230,007,041,954,977,009,073,353,967,353,291,386,281,045,186,173,
862,939,440,681,368,912,206,179,621,337,621,033,884,580,255,154,290,593,358,
049,408,834,242,286,030,664,950,396,494,649,370,560,283,326,717,954,730,149,
168,586,179,049,674,613,406,332,767,742,118,846,746,175,125,045,709,914,822,
421,927,454,343,317,757,198,671,069,892,806,758,617,372,708,415,718,953,800,
555,083,452,122,689,402,067,988,507,416,937,737,287,784,254,314,383,584,726,
069,189,881,621,822,699,106,433,121,260,717,791,688,544,913,295,795,277,007,
590,180,370,562,116,643,821,242,003,111,185,475,555,369,399,279,712,869,274,
431,704,626,223,496,758,511,670,582,795,588,965,614,578,733,782,529,025,854,
275,678,967,525,079,310,647,803,112,041,801,629,872,335,156,949,234,456,662,
260,013,556,443,471,901,418,292,396,578,882,488,126,457,067,132,966,747,821,
198,402,095,236,066,445,081,080,881,712,756,583,520,548,104,287,898,042,343,
151,251,485,835,680,838,611,320,815,038,586,298,313,358,812,400,723,122,144,
540,726,679,945,751,989,566,530,688,968,023,198,202,401,822,244,273,903,252,
146,745,877,569,048,921,721,326,785,518,385,119,686,717,947,387,013,564,146,
842,443,297,065,453,380,924,280,095,813,878,559,145,720,666,222,301,198,957,
637,837,756,208,443,789,325,868,439,777,950,341,286,544,283,222,927,362,094,
924,716,392,185,392,532,889,857,815,817,329,624,541,846,163,544,207,077,295,
613,781,813,548,669,726,735,435,285,326,436,221,974,540,882,763,007,826,476,
946,809,151,792,225,866,157,105,882,754,302,950,853,161,887,030,139,269,899,
429,467,984,839,560,181,266,703,964,396,355,658,110,533,974,901,083,940,551,
874,739,951,034,986,301,490,181,878,311,327,883,631,871,111,789,928,671,654,
414,324,976,478,944,759,373,203,171,109,135,480,939,150,359,423,762,214,799,
496,569,344,156,944,020,356,753,447,437,059,345,911,074,940,595,651,325,485,
381,586,907,115,081,559,761,286,321,573,976,435,368,967,117,906,527,147,143,
175,411,618,056,273,707,034,161,315,624,561,822,510,147,683,356,426,936,879,
417,324,776,855,964,295,735,668,712,541,050,368,960,452,563,683,095,607,161,
912,549,303,887,303,989,966,806,552,898,361,170,651,635,471,011,371,838,375,
312,623,491,140,342,436,116,167,159,761,997,252,218,304,822,043,986,258,558,
263,133,525,198,612,474,293,826,561,167,752,149,997,228,356,885,948,264,590,
733,593,967,932,336,346,073,018,923,160,581,189,123,509,920,286,412,008,396,
593,678,255,438,817,640,601,623,139,550,581,483,451,310,490,751,181,799,422,
051,615,304,937,896,921,212,088,497,987,538,774,501,585,295,057,864,131,239,
245,377,381,887,636,096,282,666,879,256,776,649,678,633,276,575,348,543,490,
516,287,222,301,437,350,811,038,738,632,658,983,710,610,292,995,052,965,089,
064,670,220,381,267,008,111,607,750,744,908,849,603,208,036,561,557,458,890,
730,297,019,835,472,741,652,027,894,201,512,543,100,212,923,416,222,921,452,
195,659,893,796,134,608,516,050,615,995,810,368,912,187,308,909,121,101,526,
423,787,820,461,408,862,798,903,075,550,389,407,771,208,309,053,885,155,726,
158,153,895,483,962,990,986,396,993,364,082,933,539,240,392,317,364,316,692,
990,776,172,894,005,272,371,317,548,239,773,299,082,500,545,577,902,304,140,
920,491,868,692,444,817,523,523,290,224,886,611,630,391,395,889,572,401,254,
426,886,435,022,507,313,022,180,852,278,074,232,234,595,025,175,864,598,326,
788,063,591,569,544,080,099,216,425,778,388,943,525,139,971,430,600,382,720,
923,002,643,534,221,734,774,646,186,059,190,487,015,651,621,628,827,808,954,
092,484,483,266,225,272,899,278,372,853,560,808,715,035,092,043,106,827,559,
245,089,728,770,491,266,591,725,330,425,589,353,740,053,667,782,742,959,757,
428,193,314,135,622,046,049,824,364,514,009,802,022,071,686,774,674,803,724,
850,962,156,921,241,746,037,793,558,633,956,135,544,349,530,179,538,332,944,
737,751,252,444,382,166,037,242,996,566,747,879,052,300,646,663,103,991,231,
426,396,010,772,515,765,365,690,606,277,973,803,487,819,734,105,186,787,184,
867,196,610,673,996,433,523,276,443,825,866,666,966,691,029,009,478,020,650,
637,720,795,796,618,547,623,327,080,347,493,553,977,670,427,108,085,064,467,
277,941,749,895,257,355,146,104,597,445,977,583,698,944,613,330,608,477,510,
742,785,474,917,515,427,573,922,972,141,542,572,875,839,002,131,653,662,329,
096,267,568,576,055,792,819,105,276,919,328,864,950,536,402,353,575,481,811,
937,885,846,508,982,725,005,425,472,424,831,636,810,333,024,181,235,630,138,
892,254,371,247,955,120,874,872,510,862,324,470,775,827,540,625,814,934,532,
395,902,625,475,523,762,278,902,564,646,589,104,334,311,598,339,391,126,610,
489,094,697,563,343,228,971,075,845,962,823,731,096,716,521,352,358,952,720,
983,106,984,514,962,221,664,092,918,103,973,053,151,197,136,537,556,266,969,
552,455,289,559,082,239,223,411,178,479,594,372,747,103,094,558,815,687,814,
993,735,617,627,447,102,444,499,642,140,535,835,706,629,033,228,125,093,987,
312,493,445,219,732,929,797,653,425,401,784,348,102,353,059,864,431,961,370,
835,951,105,602,435,083,517,015,823,168,363,558,604,595,528,264,897,733,886,
792,419,792,868,284,452,009,869,608,898,639,163,566,537,822,351,758,900,468,
703,562,710,168,185,914,759,940,165,801,578,279,475,463,591,073,410,279,928,
577,326,872,145,000,063,276,351,936,304,180,193,431,919,840,892,807,485,058,
769,843,519,878,191,554,138,340,645,954,318,884,673,403,784,107,441,396,146,
401,531,867,208,072,605,712,488,188,847,545,599,144,011,457,632,088,735,747,
861,765,665,447,556,482,146,468,444,311,551,159,283,902,608,414,562,244,018,
158,214,005,454,324,314,337,719,512,883,637,268,194,943,139,891,692,104,781,
941,167,101,925,347,092,355,873,147,729,210,770,219,035,032,554,545,297,119,
274,983,918,918,547,959,529,195,189,418,399,365,371,012,787,026,584,876,490,
386,561,724,551,364,169,352,967,050,925,771,520,207,191,519,139,006,007,880,
402,229,471,818,027,850,283,487,135,013,197,417,410,636,578,087,894,865,051,
638,215,721,344,249,399,283,380,458,742,062,321,082,574,690,689,278,213,360,
862,263,137,793,515,449,930,799,351,114,036,563,503,815,161,569,171,710,078,
707,748,761,996,339,214,821,148,311,800,207,346,853,534,405,612,534,841,186,
986,930,087,965,402,938,178,389,054,106,370,682,662,027,322,560,666,775,442,
516,953,470,067,743,742,752,880,943,763,666,125,626,017,523,384,756,198,929,
802,046,730,918,109,926,928,149,884,795,057,494,248,659,890,819,770,353,898,
272,366,189,494,026,152,931,274,094,279,117,833,649,283,716,089,691,623,366,
807,088,740,945,375,768,828,267,226,521,098,813,851,285,681,445,118,092,210,
147,837,847,918,812,431,646,423,966,343,769,812,063,104,648,795,233,644,259,
359,591,798,026,709,530,021,752,916,232,510,810,147,071,796,848,742,002,614,
759,355,883,808,134,500,500,997,612,289,376,088,535,762,932,595,222,256,809,
434,144,560,553,891,857,804,937,286,874,044,887,573,716,857,708,165,504,377,
099,459,005,613,265,573,471,148,702,269,956,406,817,623,877,237,554,591,320,
642,954,827,152,707,124,689,697,022,281,272,359,852,170,398,829,615,721,535,
427,218,340,155,079,794,970,562,440,615,947,900,111,070,554,120,119,637,847,
941,804,195,742,894,540,935,901,680,902,609,667,488,024,404,251,354,043,371,
579,685,588,984,412,013,657,669,291,298,303,768,292,657,845,893,686,158,752,
620,070,848,931,215,606,583,633,365,181,542,916,865,906,465,001,437,269,371,
966,546,041,767,909,628,390,088,109,003,072,188,136,803,487,244,203,165,010,
182,384,257,037,092,182,473,038,161,746,073,815,986,322,144,296,885,298,475,
008,749,409,931,812,676,323,707,901,625,621,063,376,977,527,961,142,098,403,
691,796,403,954,461,802,474,036,334,608,618,906,861,141,165,718,161,182,057,
575,035,889,136,096,463,244,661,372,457,088,819,802,804,736,557,335,609,902,
691,608,556,051,661,785,137,161,267,224,330,389,852,269,417,279,700,251,297,
553,637,411,546,437,276,454,863,975,478,976,531,812,367,357,336,632,462,237,
066,871,255,530,728,594,999,117,096,593,612,491,416,046,017,909,346,889,187,
995,266,069,101,840,178,795,317,258,685,748,711,001,596,222,168,246,502,003,
142,295,937,268,852,691,816,098,306,290,642,696,726,337,639,964,393,490,494,
036,310,389,992,666,484,429,282,583,081,451,277,807,236,446,118,072,275,431,
666,214,621,154,625,733,203,323,901,318,953,545,409,963,013,781,980,422,522,
984,544,213,631,179,325,612,704,934,647,744,537,088,404,802,556,124,162,782,
539,207,094,312,726,791,178,852,811,866,053,602,116,544,971,873,715,386,727,
506,102,757,231,737,354,808,672,024,026,986,213,759,194,521,191,888,122,285,
265,576,459,972,860,883,254,397,974,958,154,940,896,884,680,295,600,582,689,
440,735,547,382,570,894,738,365,694,855,507,220,785,626,975,853,078,633,028,
358,829,841,453,862,113,933,127,057,358,284,485,084,711,158,619,126,949,706,
515,145,593,979,977,784,582,952,723,958,869,930,234,979,055,439,708,769,109,
309,807,035,265,408,893,670,314,241,611,558,494,891,678,874,007,044,983,572,
320,564,791,294,971,224,509,210,815,964,867,834,389,413,164,421,172,518,270,
312,377,704,549,279,715,116,163,397,034,693,090,367,252,662,010,468,234,779,
390,116,819,627,490,483,094,113,456,267,459,498,646,195,694,784,851,056,265,
319,734,983,952,252,128,662,247,228,266,997,031,083,638,303,764,535,458,012,
060,013,618,601,757,276,256,635,421,160,089,433,253,763,146,564,127,779,115,
934,932,334,133,081,560,676,990,241,232,844,466,769,107,037,179,305,820,854,
363,368,195,029,264,775,852,497,583,101,997,572,991,667,438,797,122,693,847,
938,027,652,803,540,674,569,848,012,229,481,967,095,816,922,156,304,047,976,
662,039,117,705,107,709,488,579,326,514,780,785,059,604,959,419,256,813,529,
604,828,359,775,054,055,910,345,879,402,674,980,838,403,026,815,612,461,855,
693,035,894,957,901,006,954,509,011,980,579,198,220,728,538,859,956,536,906,
399,674,531,305,740,967,936,387,353,688,679,865,180,609,163,878,409,520,234,
306,545,244,782,477,971,936,958,008,712,410,494,870,631,939,993,886,523,705,
267,613,431,295,627,548,340,781,391,946,195,335,680,797,656,053,388,461,202,
363,398,335,154,532,491,783,624,423,334,038,944,227,166,686,110,968,117,657,
967,358,519,926,798,264,577,555,510,422,157,178,058,494,028,359,759,626,457,
269,752,752,156,915,706,657,574,754,263,683,001,850,509,856,260,157,718,456,
254,168,941,831,989,652,831,337,675,743,669,315,341,367,426,162,056,530,586,
506,407,804,903,045,508,711,782,227,326,014,203,388,725,129,482,894,515,613,
534,211,980,604,122,777,412,607,475,853,139,173,791,322,969,231,223,477,638,
734,714,402,308,484,837,783,452,508,296,537,372,087,234,847,166,901,406,394,
265,966,651,831,533,986,973,777,742,497,695,510,626,637,870,299,437,991,518,
425,963,715,763,801,132,921,931,564,318,821,346,589,106,071,808,164,864,208,
329,080,505,990,756,708,865,216,107,025,551,993,942,927,734,459,130,584,024,
232,275,640,665,604,548,145,294,826,359,587,004,009,030,190,261,207,924,136,
504,853,710,871,659,013,702,691,548,399,466,875,802,841,344,538,862,465,594,
400,629,425,147,466,654,248,035,673,825,890,411,625,261,780,800,620,093,287,
966,654,667,181,168,767,416,051,409,196,006,824,985,269,018,470,964,239,884,
458,226,991,901,957,945,600,997,677,394,126,204,015,239,007,873,077,769,544,
906,748,205,361,358,296,339,961,573,713,792,342,127,812,811,042,304,494,478,
945,649,361,911,495,506,024,710,862,405,086,170,386,989,732,346,054,802,709,
913,685,936,326,797,215,549,408,708,150,939,881,925,521,372,321,778,408,638,
235,185,814,206,824,305,281,527,784,431,958,599,159,784,707,449,508,131,337,
387,499,686,954,138,556,594,277,787,289,623,981,262,564,414,268,784,396,493,
491,919,785,078,203,375,793,668,043,227,486,627,365,765,972,682,067,880,392,
873,846,826,491,891,193,612,165,500,581,761,027,149,347,127,840,669,105,931,
217,664,036,162,511,884,230,851,628,834,743,449,402,712,707,131,553,142,025,
924,882,055,105,943,064,122,548,989,206,102,066,073,970,459,240,188,678,339,
109,552,985,603,002,464,025,742,308,897,363,304,522,053,711,601,975,064,131,
610,029,779,507,570,102,902,116,562,463,699,763,417,422,969,017,324,860,994,
219,727,303,437,311,025,147,954,148,296,626,517,026,715,464,088,700,144,530,
735,239,300,298,435,522,432,597,562,564,983,400,000,166,646,864,346,249,295,
645,484,975,405,615,813,121,425,163,907,466,889,444,640,838,081,691,138,498,
305,431,116,552,799,520,380,418,279,688,785,240,214,762,920,116,832,302,150,
416,064,874,625,234,537,901,903,087,334,858,901,641,484,850,105,660,853,834,
329,719,684,007,774,335,233,872,470,777,166,272,318,160,633,283,099,464,081,
544,960,843,851,006,807,378,883,909,326,904,800,548,393,465,988,844,332,512,
535,860,587,307,161,520,888,903,501,683,168,872,853,034,777,905,618,251,252,
127,100,230,575,524,170,103,105,192,458,790,047,758,801,504,630,348,267,755,
726,490,833,158,676,188,084,000,333,717,498,183,437,255,676,346,596,497,464,
383,084,281,111,781,528,652,218,556,851,923,549,058,305,328,291,559,061,301,
839,598,399,430,646,065,235,108,846,237,775,711,877,886,407,065,417,189,663,
747,649,198,302,887,594,037,761,313,665,161,076,317,983,291,059,666,622,475,
063,384,005,710,609,555,220,424,625,270,276,340,541,031,573,773,427,258,756,
853,682,649,337,583,410,406,956,258,177,969,784,959,249,831,907,768,776,158,
118,284,603,558,710,250,887,682,156,354,848,940,144,642,548,817,370,040,522,
315,528,890,083,002,598,686,850,048,035,699,271,865,947,294,741,544,783,861,
388,565,390,374,919,672,735,069,795,882,048,040,196,510,024,703,195,023,349,
541,065,185,086,727,809,920,887,109,652,694,952,431,307,115,935,522,115,775,
803,674,038,525,502,017,417,448,625,349,172,219,922,754,502,870,371,978,003,
183,359,156,343,769,461,761,736,492,779,713,377,591,460,314,130,684,150,882,
420,924,550,593,309,097,994,889,462,319,513,905,776,528,075,646,845,674,046,
256,811,819,772,027,967,317,332,937,808,983,108,164,547,212,375,837,341,698,
265,202,280,450,704,715,784,012,081,123,394,176,243,992,245,247,827,368,296,
642,491,421,951,193,332,313,402,192,984,645,311,734,739,394,026,330,020,616,
657,123,867,805,211,566,349,567,495,154,281,589,169,792,006,588,231,263,025,
414,146,108,212,753,404,556,394,556,793,875,298,403,998,691,585,937,714,664,
354,623,948,614,704,655,042,140,518,063,744,716,169,269,235,942,785,720,108,
976,559,979,078,089,627,451,313,560,410,981,773,847,439,447,443,658,571,810,
127,246,105,506,050,530,959,183,339,929,928,110,042,725,434,084,696,669,134,
141,194,560,094,964,587,505,921,648,865,409,031,782,130,739,876,215,767,270,
223,956,746,330,472,660,988,224,627,801,921,639,488,888,265,833,186,778,348,
456,605,559,563,879,393,452,320,869,444,872,718,115,933,444,515,450,247,253,
109,227,138,495,569,436,653,899,692,853,536,685,226,718,289,123,309,140,726,
650,323,394,092,740,659,980,569,864,907,204,851,989,201,466,420,570,763,794,
999,356,204,633,861,527,678,941,207,225,912,432,495,573,933,046,574,772,564,
580,248,054,900,520,994,335,698,605,010,526,004,402,851,341,047,835,867,202,
343,956,304,596,678,885,154,080,006,535,228,070,091,548,752,088,195,655,723,
818,612,383,222,638,879,185,286,008,864,002,642,628,934,151,263,524,551,767,
655,011,185,194,456,014,997,650,845,092,599,340,854,730,073,222,379,996,755,
453,075,212,206,949,205,293,943,559,360,084,940,260,058,124,581,156,105,807,
138,566,790,806,539,786,483,138,212,517,220,888,093,457,224,871,896,529,782,
935,052,999,746,101,944,005,005,503,413,733,719,936,996,570,717,129,275,271,
183,951,348,429,091,819,911,803,076,651,926,908,572,836,872,443,148,501,925,
183,378,383,192,291,769,700,554,124,765,480,714,067,599,551,040,572,188,173,
816,146,202,426,005,770,892,242,879,044,584,878,353,606,198,689,621,357,219,
098,195,167,806,059,025,012,935,948,384,369,648,696,175,582,191,125,322,627,
194,478,945,108,192,656,582,319,018,251,359,636,242,069,488,136,614,666,328,
697,112,826,916,423,353,487,444,779,374,641,162,892,847,439,337,338,142,293,
871,613,991,069,094,899,488,358,930,137,729,579,577,958,950,152,439,100,049,
654,646,521,804,926,908,510,536,870,887,009,841,094,133,109,298,423,397,153,
023,831,841,932,420,898,668,057,025,796,532,203,108,193,196,229,639,971,351,
988,844,901,304,622,531,718,813,728,705,594,206,020,838,616,556,970,274,519,
730,923,824,142,902,850,357,958,564,504,931,806,325,592,113,266,285,559,265,
124,438,753,351,015,711,611,423,369,047,457,372,687,607,980,731,335,748,847,
705,770,429,802,528,428,662,164,733,642,035,535,513,658,997,614,862,870,187,
717,256,744,997,780,346,040,008,947,806,121,894,410,527,548,260,641,315,187,
612,137,462,936,179,735,524,022,124,539,694,269,095,600,376,119,816,298,476,
366,735,946,142,994,174,688,452,660,865,969,803,002,049,760,991,442,425,772,
220,864,347,408,503,830,818,367,710,424,144,823,745,224,468,509,006,164,288,
181,118,579,121,539,405,422,211,963,362,837,590,004,165,700,291,290,781,833,
255,217,620,717,830,696,285,351,311,143,975,487,707,776,946,104,639,586,312,
843,751,573,069,824,562,626,583,009,118,265,027,132,072,126,070,547,316,925,
313,265,687,032,169,611,603,499,493,811,901,883,407,164,803,544,766,375,685,
179,157,385,940,455,633,148,423,424,766,445,229,948,999,129,351,845,291,085,
144,549,945,944,154,516,244,456,355,353,415,040,935,853,160,528,822,441,800,
270,827,762,434,261,935,694,015,445,069,116,880,746,695,233,165,053,994,040,
861,095,341,537,495,129,249,301,262,884,030,553,146,638,844,389,999,713,567,
333,475,161,044,202,664,702,013,214,408,604,443,669,056,637,856,756,917,501,
749,687,029,866,514,252,751,405,940,960,356,258,187,211,364,920,503,352,140,
724,198,655,374,401,766,090,269,937,235,945,856,622,216,452,359,663,545,887,
677,642,031,920,498,325,431,460,807,267,351,066,070,475,068,772,430,023,645,
951,139,381,105,056,826,043,826,579,058,114,847,375,317,384,987,136,937,322,
341,056,152,448,278,621,274,080,664,882,049,943,927,789,337,260,118,893,867,
628,587,400,474,175,895,712,037,555,738,355,463,895,788,779,779,281,823,873,
115,326,111,281,146,952,966,241,836,042,555,867,480,877,566,395,294,456,673,
625,634,771,433,613,266,777,865,801,761,741,383,665,123,461,532,453,320,859,
904,909,664,039,728,040,295,816,641,732,641,135,974,097,570,436,044,139,825,
365,090,636,886,355,759,543,958,659,123,294,539,153,991,228,160,668,075,137,
186,419,241,775,136,931,429,985,764,216,332,850,670,795,781,820,246,817,746,
282,664,584,760,582,967,651,169,839,212,032,353,774,094,042,418,169,358,749,
945,989,657,340,225,278,341,388,104,597,174,005,159,106,708,497,530,137,093,
198,480,530,168,938,937,191,557,418,716,395,630,158,464,057,832,711,642,595,
172,711,497,907,869,813,028,720,451,201,009,172,180,222,346,444,349,014,256,
615,330,273,879,885,519,938,775,470,699,430,194,329,025,830,694,388,449,252,
681,983,089,527,552,886,896,938,222,126,551,721,619,560,524,463,110,033,464,
943,322,626,742,448,975,364,761,405,334,543,529,417,595,078,455,134,477,697,
879,571,101,972,891,824,324,432,582,955,418,496,588,926,196,763,518,086,928,
711,419,030,652,392,193,166,989,117,994,512,078,116,378,847,558,395,389,182,
117,511,313,875,015,276,785,990,268,890,770,822,777,381,708,258,211,635,066,
426,744,121,309,744,917,827,961,184,858,788,526,849,453,304,227,011,787,741,
699,727,359,220,188,907,558,373,935,784,704,574,159,170,112,299,544,563,561,
896,180,695,587,390,831,251,867,623,366,845,885,891,598,376,900,526,249,669,
156,675,824,964,859,248,895,245,429,548,465,009,123,808,109,876,940,452,554,
395,251,795,128,982,450,253,563,334,464,369,097,651,726,452,010,151,861,364,
512,544,856,963,212,467,915,922,867,989,423,328,038,899,077,355,366,889,846,
104,163,624,978,500,884,248,409,075,067,566,852,889,531,552,565,718,613,434,
515,067,062,489,831,525,288,912,131,841,262,236,082,372,989,382,208,299,203,
306,622,723,241,344,433,767,616,687,323,144,427,351,860,443,714,255,321,736,
187,857,460,257,883,634,148,196,142,239,368,921,228,950,132,951,164,414,779,
380,233,203,556,197,431,543,358,512,976,855,164,232,494,703,834,369,577,620,
500,952,351,150,055,121,577,944,780,370,149,953,852,488,471,424,294,604,524,
013,886,920,765,943,455,288,398,290,711,417,391,610,147,420,771,186,509,819,
063,487,799,890,799,732,924,768,531,747,461,491,634,202,387,324,806,724,984,
859,327,894,788,053,842,083,302,073,063,233,462,821,066,216,361,167,912,676,
574,380,829,051,338,334,794,087,943,084,170,759,957,857,373,155,672,230,519,
130,498,499,330,960,156,046,905,690,158,309,864,308,748,263,107,507,076,994,
643,781,713,126,862,504,723,501,078,848,965,952,900,994,716,143,477,091,610,
582,321,445,795,225,772,284,509,547,781,898,001,711,581,858,589,330,487,157,
208,005,637,552,464,779,851,216,023,684,577,695,844,229,881,997,498,794,704,
376,458,992,514,177,929,838,782,013,670,924,762,523,069,761,702,943,678,953,
818,835,738,478,023,432,747,506,652,000,272,995,755,097,693,190,749,943,098,
937,292,495,846,096,321,496,246,998,115,042,064,391,762,468,794,259,605,420,
782,449,862,644,202,363,593,900,406,591,711,033,008,830,413,903,607,112,051,
446,714,643,319,878,646,333,094,564,787,301,731,690,845,431,761,368,262,108,
702,589,589,117,788,518,213,631,123,359,883,558,783,852,110,994,970,364,845,
719,666,465,766,480,190,964,778,462,245,520,559,401,080,965,434,514,017,742,
657,479,060,083,884,942,197,635,970,325,487,404,346,475,603,884,477,586,332,
968,880,778,242,979,841,801,648,478,598,443,124,487,683,896,484,715,607,681,
594,678,498,225,326,940,302,754,802,654,709,091,585,642,765,902,277,180,031,
419,450,171,000,772,501,946,831,709,768,254,631,393,000,721,501,509,802,531,
851,776,323,589,265,899,718,409,910,225,074,118,901,479,741,403,263,632,999,
132,608,066,708,160,840,551,073,188,373,594,220,962,785,291,332,128,367,899,
627,114,396,993,931,034,239,801,793,158,683,613,668,794,704,850,053,727,964,
345,304,845,728,850,096,141,687,011,007,930,704,915,828,524,541,225,653,384,
008,074,718,215,002,519,414,816,992,075,092,634,853,324,618,782,361,284,759,
779,619,948,741,931,297,641,380,974,417,415,074,747,280,577,797,859,090,076,
795,411,998,375,099,056,200,987,915,800,419,779,950,313,082,717,330,749,978,
231,373,794,609,261,359,293,630,020,274,072,589,669,399,886,498,061,370,848,
604,313,630,970,093,428,000,770,089,001,767,222,042,613,106,385,417,554,272,
415,760,401,342,974,934,014,493,133,106,263,749,039,159,205,455,841,323,192,
243,211,435,859,449,865,152,578,769,826,782,783,536,903,616,262,158,565,483,
017,955,168,272,145,957,198,934,288,753,153,590,575,846,001,747,328,409,106,
004,688,192,634,864,905,241,732,470,269,769,597,575,245,274,571,872,288,601,
204,562,961,246,727,985,652,471,345,828,130,802,859,285,980,107,374,913,914,
318,530,831,740,046,412,123,406,492,425,169,735,570,995,814,288,140,721,649,
360,334,279,809,551,562,175,241,021,590,739,476,843,921,712,695,803,821,501,
213,021,968,381,258,257,520,716,331,249,846,706,185,070,211,623,496,715,009,
977,565,599,148,331,699,534,715,867,664,289,647,116,972,005,778,965,893,874,
160,851,429,081,808,052,865,859,037,952,256,430,932,295,216,780,300,231,525,
491,639,118,145,428,024,451,091,361,798,609,470,621,513,453,369,410,398,402,
537,340,146,176,558,652,415,135,063,190,374,669,823,181,905,539,164,562,474,
965,610,821,242,399,941,991,211,843,227,792,159,525,727,626,049,882,604,439,
172,525,245,003,977,504,265,784,055,173,764,374,220,283,839,496,772,515,939,
790,876,131,117,239,623,158,315,029,570,508,986,468,122,489,647,211,866,576,
369,504,373,171,615,600,015,097,987,352,994,535,691,644,969,412,135,793,484,
056,257,967,432,026,530,944,204,355,615,618,383,962,280,948,166,425,994,288,
874,028,987,118,865,963,495,803,570,431,231,498,464,703,487,501,214,946,430,
024,127,974,215,071,330,820,545,804,837,045,161,916,901,806,214,582,191,523,
203,885,326,970,987,183,720,047,016,593,431,875,879,229,690,496,043,100,007,
757,845,924,552,199,703,094,814,829,693,101,411,272,606,742,955,245,259,608,
285,655,554,286,734,909,966,921,229,543,539,273,079,770,148,950,616,025,265,
190,120,347,933,214,804,257,223,076,241,347,734,618,540,726,364,931,608,007,
739,774,867,710,944,717,945,564,940,781,523,022,131,799,896,800,174,043,767,
866,844,025,669,608,554,107,478,396,236,099,511,478,734,038,423,293,699,853,
950,633,345,444,752,634,779,740,980,205,593,860,482,444,641,978,719,075,048,
931,123,421,270,671,977,540,433,317,600,565,459,889,091,117,178,676,902,337,
452,047,936,343,395,623,055,166,614,054,562,239,850,046,631,946,666,353,166,
704,339,537,827,125,508,962,472,551,745,809,327,740,303,549,472,141,351,760,
896,735,903,099,450,392,607,205,208,585,621,524,893,752,638,385,359,494,248,
124,754,671,149,393,878,542,648,184,227,536,321,137,224,567,272,416,743,078,
554,287,920,206,251,608,633,767,923,786,628,499,717,978,476,118,911,396,386,
160,194,884,916,008,849,770,049,449,531,991,477,985,980,699,374,240,301,748,
419,030,824,889,094,073,008,106,198,739,340,021,719,687,668,709,817,652,562,
017,646,679,082,298,226,909,884,248,524,793,574,527,169,840,009,413,926,509,
546,290,028,940,009,112,549,203,217,047,509,841,223,993,091,529,383,183,620,
672,859,998,425,389,316,525,121,965,970,763,464,574,708,317,255,514,346,280,
968,138,295,290,747,232,779,675,318,643,460,450,636,034,668,968,430,722,044,
033,355,477,294,475,902,329,426,963,512,489,417,471,944,267,818,501,439,463,
685,993,030,869,623,889,784,910,908,962,774,587,189,489,641,826,378,690,790,
570,639,002,043,103,582,118,879,731,771,881,869,753,295,428,627,205,148,247,
201,817,802,919,937,393,681,218,792,507,600,643,969,728,443,229,792,870,328,
964,405,701,118,043,835,931,178,069,361,953,484,773,895,405,516,392,118,811,
335,815,459,282,833,151,853,333,738,617,761,886,810,875,027,959,452,721,496,
008,313,002,874,174,018,958,441,967,590,482,469,609,742,237,659,530,680,736,
420,534,503,387,451,250,504,337,419,726,314,928,953,703,784,403,572,930,921,
567,135,039,888,952,155,287,640,646,943,850,390,884,038,972,189,539,754,310,
081,088,325,591,413,663,248,192,905,250,119,677,355,174,553,086,994,519,358,
189,352,732,200,359,894,893,781,516,835,070,871,975,367,025,713,293,367,089,
906,109,639,855,971,813,126,752,940,385,749,234,224,537,170,043,460,405,130,
999,327,350,647,713,308,689,944,041,517,703,640,360,554,265,596,286,772,063,
693,202,460,383,730,640,521,859,719,104,230,607,911,177,781,741,691,425,324,
619,961,948,678,774,636,703,132,458,861,124,312,022,909,045,104,988,903,434,
020,826,262,865,327,613,835,158,669,223,172,292,016,045,509,533,758,134,435,
444,877,916,965,038,652,625,687,918,225,934,724,610,777,299,820,559,940,699,
545,376,481,878,180,128,064,033,182,645,883,933,341,330,390,514,274,297,943,
553,474,792,648,574,277,986,918,216,313,669,232,318,654,413,527,853,784,724,
552,653,575,952,669,241,356,694,082,279,851,988,715,999,979,882,861,400,574,
674,738,107,406,890,670,694,465,867,505,238,232,007,235,973,638,764,103,883,
402,453,484,014,661,497,669,617,998,148,662,999,885,958,010,132,910,760,149,
971,001,226,815,066,063,739,765,485,338,390,873,228,110,449,288,776,133,920,
267,358,705,540,855,284,461,976,406,492,567,822,900,640,618,005,330,984,023,
976,309,157,331,244,333,880,048,900,199,380,035,900,018,764,994,088,008,192,
481,557,452,195,477,474,238,125,676,660,572,695,790,544,020,833,483,436,008,
121,598,923,435,671,626,458,140,981,833,457,260,365,774,105,828,166,765,625,
059,383,600,347,221,414,123,093,462,565,460,768,962,648,722,774,758,258,284,
991,502,491,132,084,523,041,485,219,487,504,873,124,799,044,062,141,249,841,
172,145,593,748,229,481,212,993,405,737,502,950,300,372,624,056,255,063,189,
380,136,503,140,101,020,841,189,868,724,421,999,825,835,009,824,280,342,705,
408,209,744,433,942,562,048,906,581,019,409,247,500,148,398,103,738,886,457,
640,202,607,546,557,272,922,590,266,862,998,016,982,132,412,721,195,473,662,
721,057,608,245,705,599,969,843,823,982,855,269,031,230,624,235,707,392,910,
107,256,691,546,906,153,074,444,356,082,114,407,616,978,516,141,018,858,445,
747,899,650,391,087,194,407,758,148,965,121,557,967,219,420,497,940,519,425,
731,438,109,964,735,559,949,388,988,969,600,214,560,043,307,021,790,112,015,
563,262,179,460,161,244,393,682,189,879,082,572,408,121,573,868,845,394,467,
482,635,334,915,572,624,792,984,413,322,001,922,786,255,716,387,733,456,949,
216,533,995,362,464,818,469,397,701,627,344,956,974,320,524,003,932,540,223,
030,660,091,987,739,085,529,691,269,276,531,982,041,692,651,046,611,761,867,
812,101,872,608,778,462,543,187,849,065,872,239,095,872,958,240,886,206,926,
703,713,603,936,713,118,152,033,927,903,958,403,629,185,865,363,140,940,390,
168,525,515,613,927,806,639,713,138,589,755,111,076,187,044,210,033,189,191,
318,937,477,319,819,564,816,507,682,296,837,396,778,967,879,500,446,678,283,
576,676,600,920,941,888,874,275,643,831,797,686,532,236,977,633,605,895,980,
799,933,729,030,027,240,793,563,242,233,016,198,637,998,166,869,467,961,930,
578,091,121,852,145,701,725,166,455,303,261,661,309,127,297,337,756,629,811,
422,494,596,480,127,383,842,140,319,661,658,095,674,215,589,429,811,683,154,
765,900,423,392,677,414,403,969,910,103,049,121,195,245,586,714,750,789,121,
336,734,107,902,858,326,106,265,322,110,031,703,524,969,952,680,752,708,880,
913,709,071,417,406,547,131,053,503,194,488,530,426,965,544,568,486,585,341,
194,089,464,214,703,163,684,697,460,600,760,578,103,466,050,272,510,523,845,
432,583,299,469,515,363,576,683,730,314,440,463,741,262,380,384,704,760,535,
512,120,364,735,268,436,426,669,517,605,064,295,324,164,879,713,537,669,298,
351,652,491,097,134,047,097,263,521,779,376,325,299,034,692,562,704,336,220,
373,143,158,300,789,012,458,120,273,817,374,153,348,081,754,358,315,938,568,
393,571,619,255,567,692,478,137,066,129,989,468,117,471,720,341,209,125,153,
724,100,214,356,641,700,119,696,968,626,567,208,759,093,102,336,788,694,476,
746,320,443,538,370,757,673,553,716,103,963,110,910,498,452,311,010,464,455,
659,647,568,425,062,817,106,258,336,799,438,614,980,261,612,336,168,578,641,
388,933,012,846,613,807,473,176,355,213,793,423,692,491,154,870,845,449,546,
201,561,133,824,043,349,902,954,026,423,234,149,161,900,942,107,395,413,599,
232,286,337,354,468,112,228,360,355,090,306,078,970,976,786,706,151,528,718,
465,502,070,704,498,707,338,270,290,577,178,820,115,102,180,635,034,166,261,
018,126,253,408,500,181,808,779,232,757,924,983,449,736,293,729,264,875,497,
742,560,913,977,081,471,498,028,250,315,974,396,472,446,169,496,990,448,311,
482,123,630,822,736,756,563,767,296,680,652,189,773,240,751,730,399,454,487,
037,886,320,082,031,148,534,589,672,908,817,429,993,406,203,284,557,503,899,
399,807,926,495,336,212,434,815,145,244,595,302,142,004,920,266,430,091,526,
739,345,942,238,701,380,495,109,491,441,693,912,290,968,409,819,931,266,851,
964,344,695,138,256,305,106,986,144,530,510,829,449,483,204,408,296,994,669,
890,338,552,706,419,422,929,547,689,127,257,511,724,200,476,710,427,030,415,
820,226,889,757,293,592,316,479,033,062,752,271,549,007,517,577,236,401,706,
636,681,762,130,208,835,579,148,163,019,584,653,672,620,334,823,568,538,028,
865,831,682,102,012,626,705,252,036,531,029,644,880,439,230,093,352,010,070,
875,056,358,661,999,579,512,820,905,995,229,157,931,289,654,112,503,115,737,
407,101,874,745,861,570,429,168,135,627,243,090,355,997,512,070,338,437,043,
984,331,138,127,095,707,406,327,514,224,304,544,171,199,434,749,673,129,908,
189,320,517,260,717,333,325,138,905,759,941,970,259,847,254,422,372,805,323,
835,414,036,890,958,797,499,134,422,721,642,334,884,530,722,513,445,948,374,
282,968,128,416,023,167,510,563,715,122,080,684,669,250,395,375,104,166,664,
367,374,182,580,715,561,799,404,249,288,314,826,246,808,874,082,696,598,600,
490,701,382,898,597,881,847,409,841,621,508,778,837,906,063,882,478,087,403,
737,910,149,856,550,222,258,016,063,110,591,494,633,694,488,175,464,665,945,
238,880,666,548,145,843,090,703,699,945,697,091,528,523,875,124,169,908,023,
997,564,264,088,382,165,444,448,193,542,331,540,492,940,303,576,014,075,008,
511,546,928,400,334,443,810,094,083,585,119,886,718,046,196,829,029,682,202,
931,655,212,906,742,956,189,451,858,865,370,675,328,027,343,465,650,982,973,
413,563,995,665,013,954,589,017,764,557,982,490,737,479,082,349,980,835,619,
299,124,685,101,604,883,593,524,145,304,577,433,356,975,436,645,702,597,092,
743,090,945,259,516,379,072,226,109,242,754,591,574,184,644,193,571,643,096,
366,779,022,558,271,716,421,086,405,580,195,917,012,021,223,064,546,815,452,
031,922,328,542,162,472,510,399,438,589,360,579,264,268,345,879,863,833,865,
213,188,936,013,168,505,670,282,488,712,693,437,405,390,531,116,801,129,286,
630,276,325,855,940,921,039,295,237,200,026,851,381,855,836,760,225,715,007,
377,037,513,940,948,917,723,832,909,552,065,603,655,322,808,673,655,612,677,
299,502,615,886,037,263,059,396,070,593,048,106,725,905,095,635,669,598,092,
549,187,460,362,124,299,948,827,791,902,666,163,364,456,079,496,377,618,745,
093,563,172,678,369,392,080,993,530,877,573,743,031,358,980,462,818,747,083,
494,529,645,561,829,844,417,537,916,304,816,670,410,007,930,081,381,995,148,
692,930,538,922,523,448,660,997,736,854,051,849,094,689,328,693,515,241,549,
966,179,827,380,620,466,899,630,614,428,608,692,042,812,131,433,729,589,616,
101,902,500,616,962,137,290,895,399,671,515,489,480,726,460,674,013,253,611,
118,352,977,011,991,987,651,787,586,329,741,574,470,429,696,637,806,902,534,
717,701,556,296,938,088,119,380,723,958,379,775,382,870,448,579,832,096,011,
247,706,636,482,925,743,928,921,651,139,240,266,123,298,751,867,935,678,589,
934,737,897,194,496,291,185,376,728,969,010,951,789,768,689,443,798,806,608,
256,101,820,439,883,458,127,593,732,450,972,961,229,888,796,174,357,274,645,
234,713,076,736,335,363,620,212,395,554,082,093,985,580,908,745,683,378,023,
198,917,389,111,895,714,408,349,514,353,878,285,404,998,805,441,601,071,360,
269,497,542,449,014,332,572,041,738,925,027,517,111,408,207,709,713,024,975,
208,851,291,830,947,110,306,401,789,562,672,863,758,422,437,569,323,658,539,
247,255,528,702,890,222,504,623,668,432,829,684,116,903,989,700,879,142,955,
954,903,117,641,670,296,079,811,435,651,146,690,385,493,191,372,004,230,822,
521,082,264,138,266,280,686,209,251,672,263,383,468,461,765,413,078,499,314,
770,605,320,826,414,858,976,307,935,749,044,240,305,660,704,290,471,076,695,
185,137,232,962,782,106,632,372,597,033,409,048,242,845,313,343,360,141,164,
880,588,713,538,504,738,887,839,178,059,107,602,541,736,921,703,774,082,544,
491,917,279,061,751,484,947,099,555,517,108,964,705,237,833,730,519,476,958,
110,508,568,292,568,122,856,237,187,907,480,157,575,262,807,887,867,503,165,
761,648,366,840,319,321,881,799,375,395,033,690,089,400,640,131,304,125,097,
559,235,839,144,144,752,647,246,097,263,675,821,619,116,931,080,944,411,347,
428,267,082,395,728,247,318,679,855,955,784,506,314,968,620,827,385,440,334,
407,032,586,534,924,189,412,097,514,196,236,571,838,823,231,929,968,900,842,
864,669,133,317,126,855,058,845,142,129,915,721,509,700,046,344,413,040,049,
510,360,325,692,101,118,239,356,703,295,567,174,175,723,705,087,875,523,780,
155,721,308,233,856,246,351,802,884,495,330,807,470,447,803,741,573,507,909,
752,236,717,221,108,910,764,675,389,887,921,735,987,498,334,952,000,869,292,
925,088,600,405,711,810,126,593,601,814,909,205,261,878,628,652,138,565,871,
456,328,341,689,335,906,642,271,522,195,561,105,660,534,441,066,029,292,970,
893,522,436,346,224,301,779,187,594,572,713,821,057,562,952,607,580,251,808,
201,475,706,718,731,259,856,726,562,990,619,704,518,028,316,181,899,873,059,
543,451,266,989,427,760,597,257,015,084,804,034,761,818,095,281,749,388,821,
985,259,987,584,191,750,971,884,970,285,630,571,941,060,841,788,057,863,392,
442,499,476,307,521,337,352,801,549,856,510,417,682,316,819,710,554,016,344,
364,174,786,669,400,446,512,424,151,445,797,511,604,749,690,741,070,309,456,
723,772,097,017,402,570,419,456,726,111,785,453,961,237,405,836,284,891,309,
669,808,939,083,391,954,141,095,166,019,429,861,783,506,850,310,036,592,844,
834,452,460,119,984,610,850,799,212,801,624,406,318,314,675,846,220,877,065,
346,673,799,733,652,481,813,283,109,010,896,860,629,588,501,981,646,282,636,
922,212,882,103,041,926,404,478,263,721,668,039,570,309,531,703,269,854,555,
408,734,444,225,331,036,733,159,559,139,266,717,721,820,273,181,367,399,871,
769,127,842,760,248,298,430,802,080,667,208,637,140,295,971,889,346,975,750,
474,122,942,699,594,798,000,614,270,805,669,424,699,307,514,013,116,924,888,
773,320,271,103,579,157,959,297,063,545,381,692,280,579,120,661,637,241,515,
673,030,584,265,791,687,190,732,351,116,223,433,772,473,318,439,924,382,909,
658,423,251,731,582,918,977,434,119,435,513,110,655,993,310,519,240,231,901,
939,035,889,654,045,346,508,208,563,833,955,539,051,075,255,258,240,606,762,
223,328,341,776,325,952,224,766,695,723,505,642,481,321,211,613,510,257,989,
992,013,355,598,530,587,431,672,718,697,467,663,127,225,576,609,232,326,292,
557,562,171,294,639,843,580,991,027,985,142,798,642,782,233,729,133,961,554,
338,388,296,741,971,806,718,592,926,218,514,177,800,033,201,022,237,753,430,
394,487,507,224,929,100,027,739,433,152,009,145,777,192,776,279,300,747,474,
261,526,888,827,229,664,583,756,121,154,238,481,082,222,921,005,749,069,184,
581,532,157,852,277,330,491,015,384,232,874,284,914,655,999,763,279,135,902,
285,014,893,927,904,376,847,544,842,541,236,840,698,185,255,867,769,925,562,
186,445,680,700,780,014,457,441,971,311,014,162,059,572,211,778,048,621,389,
132,007,133,877,832,428,553,929,911,202,011,925,788,859,659,229,696,317,247,
148,669,163,229,485,942,080,721,111,069,913,270,585,555,115,540,852,888,584,
010,770,514,689,310,339,050,652,921,545,286,585,419,172,870,500,473,690,912,
755,527,310,755,870,691,685,231,756,349,142,472,619,373,610,216,687,713,658,
657,392,175,916,231,001,755,711,948,556,919,356,654,855,737,854,219,273,133,
036,502,244,414,413,827,810,226,614,603,729,769,651,522,884,978,411,257,864,
119,351,713,910,163,472,477,975,834,370,160,261,577,431,879,703,867,778,354,
612,335,211,035,984,081,585,461,198,668,880,234,975,641,855,762,209,409,628,
884,038,864,947,877,041,127,323,900,477,464,006,318,085,181,672,318,792,204,
495,268,893,674,273,586,070,780,336,268,649,326,453,801,801,837,492,663,852,
764,758,327,677,121,814,084,181,267,493,540,905,426,281,679,317,255,458,502,
526,162,574,253,853,847,448,016,749,707,279,951,808,550,117,649,538,706,623,
803,974,489,338,183,176,949,479,145,435,145,117,763,382,236,600,402,659,500,
988,581,141,098,687,939,966,105,730,757,610,982,210,829,426,466,739,090,025,
432,618,838,298,444,782,503,105,643,812,978,061,364,817,586,509,881,909,547,
744,011,914,215,487,734,848,072,307,468,193,423,214,507,668,316,514,331,102,
942,698,447,603,539,132,432,716,203,590,990,961,714,890,533,987,839,588,665,
175,889,226,562,077,729,509,289,887,417,647,531,153,572,875,849,355,568,260,
265,266,854,160,151,089,255,641,185,892,808,998,862,656,040,164,032,613,689,
432,544,785,935,741,514,039,929,655,122,016,615,057,740,116,632,136,248,920,
448,431,776,067,989,264,735,560,852,434,319,802,438,160,536,423,253,396,141,
271,231,416,761,837,468,189,332,470,113,647,691,031,286,978,104,239,688,898,
217,699,158,172,904,446,171,190,768,817,059,552,968,779,417,005,229,640,948,
824,066,692,393,600,877,669,487,970,903,278,430,917,737,202,748,739,859,406,
993,294,298,522,950,682,117,925,653,908,089,621,894,814,069,677,922,227,818,
217,567,097,147,595,852,835,151,893,784,374,574,952,838,689,255,751,121,554,
604,045,356,574,446,679,892,360,165,667,937,473,569,317,313,146,942,258,588,
258,520,622,995,740,805,780,418,823,130,235,313,262,447,143,706,241,563,875,
198,290,569,979,891,181,023,222,345,174,307,200,913,733,788,102,303,720,924,
843,420,497,148,472,977,194,598,533,388,020,211,217,265,721,431,842,098,917,
965,580,761,894,494,786,881,388,449,412,083,003,916,548,659,920,633,539,588,
893,921,890,900,309,294,824,747,877,041,762,359,665,973,881,813,354,595,033,
305,939,414,652,328,250,899,549,664,405,362,546,154,815,075,275,906,746,415,
504,156,449,481,882,760,203,025,189,495,689,956,371,205,890,891,785,187,552,
479,422,394,116,741,600,529,109,562,196,601,836,016,515,847,891,321,865,820,
904,818,803,040,623,397,130,481,173,963,023,523,811,918,072,198,549,818,188,
484,767,453,884,808,704,524,820,871,842,725,930,376,714,313,029,281,619,817,
456,193,141,750,924,551,243,939,617,892,497,027,015,044,950,095,042,707,930,
939,118,715,961,018,538,186,249,820,392,333,864,784,788,109,997,994,740,394,
251,368,144,606,285,128,344,814,928,015,315,862,882,392,661,996,220,511,039,
070,653,431,022,282,505,838,937,683,802,309,762,027,474,399,346,349,018,835,
902,688,667,289,352,126,230,198,367,830,546,762,288,408,182,901,811,106,503,
865,299,353,287,393,567,269,219,516,093,154,479,448,519,895,560,532,071,406,
490,020,532,667,508,194,112,276,181,844,378,728,974,382,663,251,752,650,064,
320,975,764,867,728,809,339,479,968,152,016,409,441,499,580,844,237,013,758,
933,699,024,366,893,150,050,012,107,666,755,136,592,093,959,654,145,064,439,
850,480,064,023,775,569,401,135,722,188,472,413,745,018,948,360,748,195,917,
611,275,694,209,149,214,765,194,495,818,766,076,181,171,632,819,787,070,678,
853,055,151,239,182,473,870,957,532,750,065,630,859,583,820,226,953,725,261,
438,663,417,174,458,398,752,464,422,346,416,647,363,817,927,672,321,696,088,
054,563,734,454,233,784,429,102,401,222,189,963,092,114,528,816,321,079,014,
459,097,698,281,936,058,338,954,046,480,810,942,650,020,525,507,578,135,273,
871,512,838,178,878,908,301,432,462,556,921,013,373,039,205,019,987,859,744,
313,544,573,277,378,045,005,682,798,555,464,421,803,744,159,429,009,985,237,
759,027,303,297,844,070,158,795,257,003,427,027,808,527,192,540,940,786,010,
910,305,441,588,679,049,951,701,319,512,444,230,084,138,750,600,417,517,550,
734,557,412,146,349,850,633,216,912,296,312,826,336,040,512,358,682,261,908,
540,871,056,691,709,314,629,200,595,773,807,888,244,599,136,731,612,478,146,
130,856,515,972,834,789,617,985,767,771,034,639,716,111,365,767,512,208,842,
759,888,343,670,735,260,170,895,639,620,082,556,139,870,923,919,044,371,848,
635,069,574,508,539,733,970,472,611,582,319,524,963,366,911,464,126,049,623,
591,300,028,837,129,362,632,121,532,694,750,710,781,504,523,683,257,295,856,
086,742,877,520,563,056,843,810,351,569,470,501,301,060,638,993,773,704,897,
892,119,037,767,772,486,565,782,998,711,457,901,489,532,979,036,578,209,193,
561,032,350,512,496,064,060,965,878,525,871,596,875,056,668,246,092,828,907,
967,692,401,077,165,307,094,466,801,019,348,527,324,596,570,024,643,358,949,
209,863,516,775,838,108,705,400,472,331,920,355,312,932,592,485,258,431,789,
440,574,487,298,853,001,685,490,114,812,672,018,645,377,784,705,273,354,943,
431,477,101,737,143,249,989,464,395,795,096,767,212,167,729,848,589,230,565,
218,987,551,204,533,640,106,696,935,615,918,917,219,799,410,090,148,779,097,
147,552,854,168,695,676,286,749,718,875,045,231,741,772,009,946,737,334,655,
269,936,268,749,069,952,047,874,067,524,503,328,329,683,844,078,062,362,686,
599,094,045,154,780,635,995,165,945,807,209,170,597,702,719,093,635,399,341,
942,880,846,366,632,546,752,991,302,039,204,959,281,170,113,113,756,057,445,
862,486,604,328,155,926,816,291,523,898,794,126,502,526,392,489,606,642,176,
908,216,826,488,208,992,528,437,043,210,713,979,751,620,782,054,535,640,513,
899,203,311,927,398,898,364,907,944,801,422,880,546,980,773,859,161,020,851,
718,732,505,563,747,832,000,689,636,558,464,358,912,309,103,962,911,506,769,
917,618,105,229,130,323,660,862,767,739,475,212,599,347,732,371,088,404,239,
329,619,220,832,029,455,345,136,839,060,525,880,712,553,551,761,075,057,747,
527,127,704,452,455,682,133,417,031,579,468,129,490,625,015,486,152,003,227,
254,224,448,678,072,635,620,180,106,027,684,456,839,885,086,871,294,332,053,
425,441,500,935,839,012,368,125,524,820,204,342,796,915,466,419,646,878,608,
342,454,598,475,262,684,803,039,950,843,595,098,710,016,123,911,510,634,382,
760,670,296,124,586,099,048,424,594,903,768,794,653,521,018,537,015,329,771,
044,149,957,053,450,958,416,991,424,361,362,663,194,749,371,783,431,832,886,
881,360,988,559,268,888,927,421,205,221,767,507,094,824,428,394,846,250,154,
383,965,804,038,753,180,553,867,270,910,513,336,056,702,707,068,524,923,111,
283,668,008,092,612,979,982,751,612,825,718,846,988,188,626,664,564,043,713,
190,516,278,887,563,214,995,344,628,234,875,099,989,888,097,326,149,311,512,
112,745,470,441,463,019,391,371,738,868,228,579,655,482,547,637,544,729,766,
867,541,958,816,583,375,527,802,414,866,801,483,629,074,601,922,551,693,920,
836,002,425,564,892,715,966,126,548,260,503,953,305,746,933,058,734,898,875,
357,259,509,548,512,078,957,107,295,604,692,945,531,160,309,400,774,252,029,
509,412,283,934,208,734,682,271,788,331,938,060,795,426,353,730,883,986,716,
202,846,395,652,050,918,759,363,476,646,753,641,906,669,324,455,932,549,480,
375,625,356,148,768,064,844,772,895,348,836,340,454,818,117,861,974,539,097,
558,002,090,585,937,448,034,951,842,510,615,129,186,187,355,753,512,705,624,
107,924,796,040,488,298,505,324,863,851,413,670,709,794,790,926,943,907,185,
059,375,645,012,915,080,721,033,093,476,743,539,985,040,943,855,500,947,254,
897,625,745,819,674,852,695,875,083,329,823,899,146,377,742,328,577,588,715,
937,437,975,031,664,661,990,705,519,722,035,461,422,181,568,116,696,461,674,
126,186,309,855,315,026,706,384,365,548,046,862,087,099,100,561,446,191,706,
770,060,287,943,997,799,769,086,044,260,569,027,538,291,869,683,225,517,088,
727,378,388,898,378,449,084,525,359,960,498,322,502,962,811,096,296,451,494,
774,027,867,024,791,440,786,815,637,310,096,687,589,875,901,104,358,884,565,
245,724,979,301,185,882,686,281,373,234,737,598,006,013,150,530,659,301,610,
629,581,682,075,673,177,658,247,964,505,099,088,133,199,784,434,925,504,539,
269,795,728,754,750,082,046,397,381,833,031,933,046,552,495,871,807,198,866,
091,832,937,724,062,197,691,440,916,335,269,189,831,960,898,533,969,500,031,
708,078,621,613,804,697,412,184,933,060,986,635,786,035,297,812,927,458,371,
123,879,576,853,010,754,389,428,978,103,004,707,375,047,375,109,226,475,533,
536,080,853,318,241,187,640,236,867,089,846,624,244,302,176,190,224,489,520,
106,036,493,420,468,689,191,822,444,674,854,644,205,051,858,272,247,509,535,
539,986,774,805,827,504,199,826,044,926,522,371,719,253,221,147,505,100,202,
288,680,162,277,858,299,077,572,369,069,858,006,200,407,853,966,135,830,888,
468,640,971,123,738,944,509,330,016,752,454,097,415,077,266,737,308,114,984,
518,129,093,489,613,180,400,356,583,389,771,810,644,927,678,245,711,003,670,
758,598,484,467,891,152,642,213,700,435,244,827,888,086,855,240,416,234,029,
489,002,697,911,447,034,558,357,189,496,950,602,710,671,489,645,384,620,728,
857,169,989,091,908,349,693,920,825,506,531,588,377,131,665,965,095,240,349,
588,503,044,873,783,090,885,734,490,810,785,455,965,709,562,271,981,504,193,
570,625,298,647,771,666,499,738,646,522,955,355,055,345,088,558,948,220,454,
063,399,329,977,383,926,667,425,595,189,789,477,414,513,242,745,198,461,598,
908,422,807,119,793,919,731,101,295,139,432,157,613,652,732,841,837,629,083,
497,833,957,614,245,564,043,159,483,554,698,983,143,200,984,417,160,500,129,
505,754,634,730,677,529,574,511,008,595,225,175,220,138,571,849,474,289,732,
251,389,830,443,883,735,147,332,490,027,653,442,642,326,926,428,847,302,961,
215,959,379,062,241,598,503,998,720,847,002,172,780,607,234,721,797,267,725,
761,930,668,282,988,173,050,774,732,197,015,559,979,363,069,321,242,671,263,
744,590,937,449,913,189,004,294,484,176,614,927,689,474,570,164,566,985,291,
298,074,908,382,983,927,420,440,479,585,080,575,226,012,987,097,793,521,760,
810,911,004,904,949,090,994,137,291,271,164,974,354,034,124,410,391,877,173,
720,338,512,735,175,121,118,075,014,642,085,967,378,154,875,899,441,349,266,
701,329,037,106,149,479,935,834,758,674,613,673,026,708,689,316,051,537,210,
188,188,016,825,387,869,416,248,551,547,959,988,714,917,004,755,279,498,401,
801,037,486,531,182,626,865,308,084,388,679,813,703,542,500,117,183,600,937,
456,892,137,644,775,693,605,324,893,032,894,990,030,781,844,106,658,953,121,
350,424,129,992,000,486,892,740,550,849,156,341,792,307,979,232,758,207,251,
435,051,760,341,833,488,245,238,074,312,799,878,326,711,708,550,897,586,709,
308,419,886,520,023,228,340,815,059,689,110,636,425,765,740,185,070,355,186,
898,417,838,011,388,116,187,525,051,351,837,557,265,584,243,875,148,049,290,
982,827,084,828,983,660,118,949,905,945,897,223,570,521,559,201,214,045,174,
866,239,692,920,550,519,537,849,248,437,868,684,548,303,626,269,437,151,922,
069,031,994,076,647,190,014,597,185,975,532,252,060,425,733,891,526,448,750,
762,260,014,635,442,961,091,919,393,261,218,389,843,442,981,564,557,313,151,
577,438,320,256,242,189,035,832,357,560,878,467,091,121,121,497,981,819,119,
929,751,886,097,670,354,178,025,133,224,195,256,148,811,500,114,251,269,124,
843,634,228,633,460,996,401,568,542,477,257,038,533,783,045,769,411,753,642,
543,337,928,103,483,820,197,912,708,150,000,414,202,642,657,852,823,019,761,
373,880,765,669,615,788,835,830,724,749,095,588,907,962,076,674,597,503,871,
490,941,640,562,585,569,476,341,278,838,175,338,590,534,263,634,254,244,036,
373,123,291,734,169,976,881,183,824,242,935,445,812,438,767,160,793,333,037,
836,774,260,411,926,438,001,596,936,709,411,691,689,817,559,967,639,490,479,
987,027,681,233,117,877,725,629,457,197,551,076,741,417,694,174,738,764,386,
217,758,138,066,779,616,072,717,092,173,286,089,000,937,162,962,289,469,365,
228,272,936,979,908,353,525,720,003,783,605,617,893,366,297,233,532,172,499,
295,214,659,315,902,896,229,567,887,748,179,850,745,203,029,298,253,205,969,
373,179,218,743,505,810,622,221,956,628,576,731,661,092,946,550,155,329,005,
357,041,572,866,970,699,271,080,869,679,555,252,112,293,593,669,529,479,752,
656,767,532,175,002,497,812,476,977,362,911,504,839,942,807,149,366,750,874,
419,782,265,865,187,426,539,913,949,927,317,391,196,973,458,249,089,332,271,
677,300,231,735,698,420,378,057,292,767,103,638,685,743,396,496,264,549,431,
010,682,632,537,102,231,489,256,691,655,406,334,665,970,061,563,329,845,159,
498,074,662,603,907,254,058,587,338,747,249,524,202,403,095,367,313,486,135,
327,909,204,285,484,999,763,076,277,107,547,443,410,448,194,888,820,960,807,
717,311,213,874,679,915,508,302,472,216,136,756,926,148,756,726,778,352,325,
194,958,252,303,660,539,871,263,214,379,162,511,682,445,678,650,519,977,370,
377,832,150,682,669,301,020,772,093,569,137,293,665,838,829,559,109,494,176,
842,172,218,273,358,727,376,524,216,213,668,918,401,452,925,981,615,922,390,
455,170,490,866,471,723,603,378,450,283,727,068,596,965,561,993,776,029,176,
530,290,711,097,162,375,223,479,741,139,741,683,051,624,296,939,842,997,344,
541,392,336,553,839,583,067,308,132,131,408,648,528,932,998,902,047,081,878,
806,945,693,849,667,911,016,250,150,249,668,697,114,673,821,094,959,091,390,
509,971,698,097,072,924,865,260,642,270,519,069,969,094,459,902,553,374,183,
681,254,654,707,571,262,442,633,133,024,428,054,881,495,949,320,170,947,209,
936,567,809,643,936,133,857,980,603,727,870,699,841,128,303,359,538,590,820,
120,864,523,026,588,000,289,354,383,724,294,183,348,320,604,056,601,180,886,
954,928,791,273,967,094,238,166,814,051,658,645,065,069,498,012,016,856,294,
422,079,230,536,992,649,062,899,767,560,791,025,683,727,938,511,868,222,003,
048,043,895,308,715,986,187,592,748,025,827,613,459,448,105,202,278,319,249,
342,817,901,723,779,246,118,360,069,043,608,327,426,075,864,009,075,589,476,
896,619,721,321,243,761,603,710,403,331,972,006,990,962,999,413,849,563,158,
627,421,590,307,370,989,996,472,346,088,001,686,563,826,114,250,694,073,098,
533,364,600,163,665,157,063,145,390,223,066,674,666,015,687,419,784,142,463,
926,373,048,649,005,137,467,968,591,832,406,482,964,492,693,194,347,152,505,
369,716,722,860,218,648,078,179,838,872,988,670,668,842,205,300,180,730,928,
587,001,562,434,558,280,216,153,636,718,226,159,983,658,345,476,939,762,603,
583,592,992,000,505,479,822,080,775,847,755,839,563,101,144,829,450,624,315,
689,688,354,412,479,533,903,609,755,350,375,477,240,067,085,592,005,167,908,
996,694,923,733,627,638,338,305,615,478,360,446,385,835,079,247,247,552,898,
438,268,664,147,789,409,658,835,905,775,410,599,093,505,503,661,803,846,309,
518,332,721,776,365,426,449,450,791,731,867,325,691,701,888,394,104,437,753,
910,658,877,276,722,673,664,465,829,723,498,972,784,464,124,551,298,988,597,
407,506,972,230,165,956,710,474,052,440,220,847,775,840,570,168,125,807,865,
863,748,380,597,070,456,246,601,439,823,254,140,768,095,646,070,001,918,372,
796,409,038,958,607,241,826,895,289,735,637,066,770,181,554,692,234,292,409,
459,958,289,913,576,107,030,861,637,286,434,664,278,755,682,082,682,115,175,
356,093,752,078,873,334,396,259,438,330,225,254,068,846,377,638,362,061,825,
308,978,794,188,223,009,984,221,961,693,194,655,954,154,420,936,558,825,614,
042,090,039,316,378,377,732,258,000,221,283,747,949,445,926,583,965,598,360,
983,025,385,570,059,621,898,251,643,391,900,355,371,623,974,527,688,457,275,
679,689,726,507,975,000,311,791,725,431,107,794,153,015,446,559,988,867,172,
991,544,930,613,747,132,341,718,206,261,503,548,294,785,556,978,942,386,547,
268,319,709,766,067,563,450,915,957,173,315,577,143,418,472,843,593,445,363,
352,435,918,224,655,109,952,155,224,319,292,731,313,985,189,670,963,792,969,
644,095,779,078,581,009,389,224,278,236,376,157,777,659,073,005,200,237,872,
930,941,412,766,540,415,900,855,836,488,327,981,375,232,973,925,109,224,308,
467,227,178,635,450,171,273,182,741,165,891,144,078,013,231,704,975,360,672,
592,972,638,275,045,857,887,023,325,309,191,885,261,930,433,846,459,391,287,
669,593,509,861,239,955,866,101,336,103,766,033,784,232,881,498,699,015,925,
304,353,030,759,552,062,037,475,843,117,993,899,900,354,401,394,843,373,680,
393,218,541,891,738,707,564,106,173,920,036,852,474,736,316,347,984,500,299,
547,546,881,396,352,689,314,568,438,210,946,992,550,206,850,030,865,500,295,
835,845,513,624,584,363,067,159,219,780,754,016,182,260,740,747,182,590,541,
222,186,699,768,870,155,808,199,153,823,213,168,388,825,849,564,010,322,242,
331,693,246,793,108,191,247,570,748,335,254,426,125,133,124,458,961,396,615,
272,843,166,708,841,700,410,627,317,126,417,757,006,654,527,921,913,163,751,
838,631,526,272,184,284,615,435,418,227,870,481,186,829,914,782,316,542,968,
635,935,866,868,351,301,981,372,643,652,831,472,693,878,342,282,541,187,716,
816,285,423,815,624,304,894,121,017,709,960,139,186,634,652,661,543,032,652,
327,646,019,862,188,145,304,599,768,430,585,562,433,492,326,874,901,671,423,
225,643,192,603,520,841,572,118,149,641,195,809,808,630,652,424,597,636,160,
240,109,035,811,673,544,007,253,305,269,257,420,962,387,477,709,687,431,785,
081,864,428,934,209,192,817,644,599,949,085,674,164,119,013,484,790,150,761,
320,462,916,750,066,059,626,000,421,036,582,236,218,128,587,653,106,162,049,
679,926,019,218,147,997,580,711,132,487,776,079,577,876,131,244,807,888,349,
613,850,181,602,897,088,566,851,317,843,023,943,672,971,919,569,056,758,658,
156,709,720,124,740,669,480,107,625,301,499,088,413,833,445,945,875,567,642,
661,644,835,063,447,711,501,141,549,045,747,666,231,665,342,522,340,089,454,
204,365,119,839,772,614,816,876,859,408,474,834,224,756,205,490,318,519,000,
236,729,222,959,230,983,242,849,580,997,428,788,524,128,614,041,896,195,923,
801,985,005,878,971,649,983,312,622,478,068,952,724,488,265,978,974,061,694,
186,389,005,792,719,291,651,379,712,071,246,201,154,240,738,322,153,212,645,
344,910,256,924,858,924,653,910,038,871,001,110,890,392,535,247,161,564,610,
575,864,957,034,617,480,638,093,068,913,895,832,281,010,009,469,893,023,410,
742,287,876,716,680,614,949,522,754,534,086,157,061,721,047,075,366,135,371,
923,055,135,308,265,392,846,760,744,027,910,946,277,724,175,278,218,121,633,
901,075,642,439,110,700,376,037,406,937,206,533,196,414,218,294,083,542,585,
766,944,156,515,725,876,162,391,757,766,576,888,966,032,910,135,292,301,116,
116,906,311,525,741,768,562,894,549,691,905,458,920,804,198,596,945,176,935,
960,827,683,472,272,341,804,233,187,850,268,456,473,671,585,105,763,708,159,
099,863,256,486,963,429,761,464,103,639,433,605,244,880,835,993,372,309,263,
813,209,376,273,569,280,134,055,633,858,130,039,208,531,913,076,172,880,361,
451,414,402,502,544,969,084,154,172,414,577,449,624,594,213,870,644,954,610,
383,530,616,454,557,597,553,911,037,276,161,206,200,220,937,182,385,517,989,
919,720,594,275,325,680,738,038,906,247,134,615,814,829,524,783,795,711,158,
779,852,048,921,521,998,286,083,593,313,254,639,076,570,019,500,373,975,623,
510,927,877,541,398,387,644,619,752,821,102,162,897,394,919,748,854,059,832,
716,745,115,970,824,032,370,962,556,089,103,305,090,318,416,716,288,272,842,
043,265,655,258,105,658,092,792,733,464,226,554,389,082,550,486,400,797,614,
688,953,678,140,532,681,252,037,144,065,086,640,674,157,110,885,669,172,018,
146,663,870,313,294,539,968,033,867,599,656,209,786,767,766,815,314,139,457,
838,133,179,313,429,338,685,294,879,271,858,773,749,446,472,135,594,888,385,
790,378,109,778,976,113,095,263,370,080,027,640,642,547,763,615,776,667,221,
023,635,615,760,546,576,362,646,495,376,381,949,223,303,063,207,826,011,796,
075,232,090,795,996,203,758,551,076,359,162,114,686,354,731,846,792,993,669,
454,682,455,655,711,751,702,770,085,262,849,562,762,123,190,681,306,012,962,
244,704,941,151,380,236,627,313,752,714,758,587,157,304,452,969,339,516,650,
370,319,715,984,554,263,506,577,236,082,877,488,172,429,252,770,799,230,911,
703,419,309,819,878,054,646,776,856,292,852,957,279,631,430,996,724,342,542,
424,500,660,892,998,615,813,849,527,525,205,897,610,632,205,092,546,830,582,
858,135,545,404,510,373,865,334,253,155,864,544,758,548,964,204,190,041,885,
806,676,888,980,088,482,811,994,820,528,172,619,805,585,258,808,204,351,778,
634,247,297,604,085,407,441,348,595,876,552,283,579,224,919,208,838,239,589,
643,062,585,632,740,226,007,305,270,850,042,517,943,022,088,017,152,956,949,
448,253,420,211,836,493,560,244,667,595,276,251,198,957,596,727,292,986,639,
609,461,186,826,733,223,740,724,628,691,758,732,843,952,863,063,046,612,742,
478,043,968,543,255,226,711,939,375,672,277,046,870,393,075,470,804,990,017,
316,567,324,386,266,906,157,469,011,761,820,023,714,695,414,644,104,593,398,
880,085,461,480,193,381,091,427,649,659,653,550,858,092,387,595,208,009,110,
812,793,482,950,953,205,801,695,818,314,821,538,603,699,375,701,467,519,479,
195,576,026,449,761,290,121,715,797,283,883,732,939,468,855,718,515,017,253,
733,985,294,258,594,620,401,635,829,542,141,750,201,438,365,575,691,354,306,
796,328,132,451,177,418,405,947,147,062,734,011,430,012,207,837,067,145,000,
982,528,304,609,178,567,962,060,933,045,646,303,584,070,797,941,555,941,886,
118,591,687,096,609,590,213,354,258,254,359,208,979,024,738,446,232,848,222,
644,704,166,530,600,373,034,805,348,721,417,768,266,773,932,976,909,279,130,
902,113,290,547,788,422,854,001,437,686,037,242,912,409,579,809,221,604,164,
197,321,770,010,935,323,757,650,562,309,027,586,758,594,291,299,378,484,404,
953,721,295,812,206,176,773,457,065,334,913,202,395,280,578,926,432,574,705,
020,469,784,688,711,650,991,445,665,901,467,454,336,966,836,404,965,553,178,
416,260,281,729,249,579,437,143,965,190,046,367,472,308,447,963,089,023,008,
259,558,541,160,027,059,558,638,153,690,601,028,107,532,080,914,778,347,222,
296,309,947,396,039,244,254,969,865,883,542,762,042,236,317,377,962,121,733,
296,918,456,405,706,801,269,562,971,170,283,373,344,547,759,854,480,735,610,
885,433,370,501,063,681,006,114,529,676,858,299,458,823,303,020,819,844,205,
341,523,390,527,555,961,351,791,895,951,487,823,099,772,915,147,384,136,626,
890,364,996,033,650,937,858,813,078,919,473,628,584,377,622,349,306,794,438,
591,073,377,783,341,477,465,183,445,976,032,147,986,890,267,681,289,088,893,
662,101,735,172,353,840,734,791,582,096,953,369,106,499,579,662,492,927,976,
342,099,797,915,359,069,488,236,475,109,345,942,838,154,036,320,053,169,961,
946,358,769,532,568,014,820,631,622,852,101,949,125,064,121,375,235,084,545,
421,318,983,253,977,433,859,348,354,329,381,982,484,704,076,027,912,083,376,
240,170,134,187,577,195,443,363,337,882,039,497,308,787,174,035,077,466,176,
110,119,184,210,192,815,476,733,411,348,486,889,492,198,719,928,063,672,824,
499,843,021,335,063,317,443,311,531,058,248,115,579,656,562,301,325,124,333,
522,486,763,544,774,151,411,944,894,368,717,818,026,572,039,151,940,190,412,
088,538,461,876,453,219,878,694,363,319,203,978,705,129,944,114,326,642,722,
523,137,212,872,526,687,240,983,669,652,431,143,974,494,751,050,655,971,774,
338,760,394,362,263,531,649,609,091,030,692,109,699,471,534,226,771,346,147,
937,676,260,503,162,794,280,383,563,867,439,162,736,913,676,804,622,413,099,
859,683,742,983,491,699,569,945,778,525,785,314,605,333,525,520,734,141,369,
159,048,629,292,139,952,740,966,352,268,795,071,369,901,890,434,084,675,575,
472,661,387,585,890,617,850,693,762,983,363,567,060,656,968,634,495,777,230,
744,911,714,094,460,294,829,808,227,915,908,304,098,462,325,119,556,923,315,
418,595,864,016,256,797,062,476,479,489,949,125,055,016,310,615,293,685,980,
627,755,257,177,322,951,543,392,849,494,233,868,192,559,447,427,607,415,170,
659,027,804,716,780,594,811,788,358,723,581,638,148,997,693,539,248,233,554,
857,740,260,226,780,129,123,871,488,601,578,358,525,776,578,027,827,134,716,
357,169,300,570,870,429,781,424,615,875,772,819,869,022,165,971,527,024,176,
423,255,902,297,582,581,781,375,623,495,797,593,141,285,566,036,551,331,924,
207,380,427,403,922,249,321,383,696,854,801,160,678,224,222,669,670,973,110,
340,453,874,164,280,997,716,541,476,618,465,957,476,534,517,625,099,702,299,
623,321,775,344,001,321,122,374,799,094,876,522,092,769,716,609,378,713,884,
598,622,696,183,139,049,844,886,836,957,414,273,429,629,388,404,399,663,047,
635,571,232,285,869,049,933,129,250,412,753,726,516,976,224,603,355,546,880,
516,930,031,907,115,364,668,366,716,636,476,468,056,935,408,237,722,291,281,
179,872,127,166,702,178,610,599,157,787,972,053,451,492,244,695,367,554,877,
962,813,052,292,958,015,204,090,744,174,673,555,515,005,601,785,117,339,408,
730,858,650,413,773,350,659,732,267,767,125,384,368,983,617,504,795,801,444,
351,954,583,489,588,493,424,890,685,579,292,264,919,915,956,719,040,946,132,
761,146,160,988,679,330,294,093,408,461,915,033,423,501,531,169,208,165,546,
088,778,725,031,836,258,745,689,168,328,661,186,975,534,719,534,844,159,464,
301,360,836,380,206,328,061,235,664,740,743,213,901,368,860,965,542,316,652,
264,755,587,561,484,799,099,169,055,938,986,405,969,787,953,481,854,323,025,
969,533,141,533,254,220,891,504,789,587,290,647,222,196,654,487,109,397,862,
407,880,910,663,582,398,145,179,341,983,654,988,735,541,830,018,828,673,670,
203,145,733,263,251,496,060,038,226,846,258,925,208,992,825,585,092,590,695,
703,661,554,018,360,929,655,319,815,610,709,613,576,686,568,723,312,654,218,
484,235,480,457,201,846,903,385,625,854,241,831,726,158,582,722,606,395,145,
343,468,103,760,428,431,304,601,306,252,976,816,881,517,540,385,922,704,316,
981,942,202,480,032,042,979,177,366,685,934,850,450,438,185,057,993,460,858,
942,146,383,506,077,026,659,683,924,410,324,697,522,856,387,659,578,301,616,
852,751,012,237,439,701,437,082,952,656,331,112,397,839,222,467,247,798,385,
483,575,969,738,881,408,868,398,347,035,228,831,220,949,472,067,614,421,408,
663,968,813,523,150,613,746,890,562,880,205,972,317,166,179,772,911,988,112,
813,726,554,911,901,121,944,458,912,970,400,986,505,967,111,535,720,047,399,
040,598,936,063,510,519,080,148,763,908,188,589,615,985,800,387,808,826,985,
643,169,552,640,113,658,297,451,304,030,544,142,159,939,158,862,879,652,517,
076,929,523,982,763,574,330,969,065,123,469,344,797,053,252,638,968,984,537,
811,010,671,880,663,984,120,821,817,177,984,655,464,340,260,308,287,436,598,
946,666,891,080,889,504,627,230,562,661,296,191,413,264,712,557,683,352,159,
433,019,884,283,827,771,892,997,246,031,248,779,242,243,576,413,004,835,494,
035,786,676,484,655,031,252,008,477,986,170,130,012,976,167,277,275,591,265,
213,616,210,483,275,069,090,053,490,036,551,403,629,812,146,131,766,200,016,
309,097,772,589,755,733,258,912,335,664,310,446,464,685,641,576,587,177,730,
315,957,786,416,131,353,838,372,268,806,151,402,497,900,557,132,186,728,222,
898,045,790,947,564,553,167,573,250,464,506,670,811,122,087,967,524,449,981,
734,792,075,963,095,586,553,353,763,881,445,467,652,321,539,794,501,727,259,
423,025,596,314,191,176,973,207,221,399,223,779,045,643,943,609,471,597,197,
008,759,610,267,421,335,090,918,118,460,081,639,174,046,178,697,171,590,776,
122,600,922,032,655,110,045,372,399,199,540,189,172,218,549,786,619,514,208,
177,806,534,239,728,023,476,640,493,397,358,146,248,844,223,538,010,134,202,
800,841,371,722,943,693,690,387,360,173,520,476,061,001,782,436,175,334,146,
598,248,427,178,336,504,272,917,189,384,266,225,747,078,351,596,402,289,451,
889,325,899,083,751,577,809,368,358,399,212,606,869,855,978,820,073,442,093,
827,814,562,157,399,992,183,819,114,536,414,102,769,820,020,704,993,712,439,
027,652,569,139,150,175,153,269,561,104,515,777,087,714,849,751,226,088,786,
168,990,133,278,081,431,452,463,059,091,108,473,784,689,367,140,221,441,325,
767,093,855,731,210,611,540,700,282,548,680,715,641,048,654,955,074,913,589,
673,822,239,438,285,390,492,148,715,536,071,408,836,383,184,984,328,565,128,
906,171,959,200,654,338,524,307,932,431,291,720,288,655,256,767,518,360,676,
071,353,371,946,146,330,595,059,080,444,961,610,014,207,384,779,162,507,361,
451,349,707,350,659,547,292,972,580,588,109,805,032,787,122,665,001,951,881,
835,859,572,384,039,947,336,318,549,735,769,737,895,260,213,769,311,149,008,
098,167,771,809,910,231,823,898,985,426,246,018,082,125,789,112,179,483,862,
155,463,590,164,134,148,133,728,189,290,306,688,846,356,998,996,839,723,203,
731,590,783,376,820,025,124,524,216,547,035,697,595,637,872,993,724,247,596,
100,011,736,903,817,331,958,772,949,803,370,952,295,528,207,808,863,003,160,
274,752,974,718,769,219,971,877,683,322,280,716,888,915,689,463,135,483,316,
254,786,966,646,805,260,383,776,264,374,008,928,125,285,926,752,868,805,559,
950,274,484,436,559,660,614,088,376,631,700,118,700,282,526,146,476,372,733,
502,719,530,478,050,139,170,882,736,628,241,679,536,657,406,175,480,607,801,
517,701,577,127,368,137,253,769,404,115,544,105,041,138,083,347,211,455,549,
303,975,015,407,252,322,541,318,220,541,493,530,243,126,708,959,521,484,885,
175,736,276,449,149,654,310,763,583,040,407,976,435,522,226,969,570,327,452,
993,082,360,456,631,639,975,915,153,025,000,807,716,217,420,368,578,854,363,
281,703,815,515,905,945,639,368,682,544,173,601,502,394,824,225,745,889,026,
074,471,883,371,918,123,880,108,415,162,899,720,065,075,324,549,764,262,446,
492,126,483,553,040,755,644,700,674,541,327,213,202,808,222,335,941,966,965,
596,552,121,712,825,300,708,788,045,601,142,320,009,266,513,499,263,406,146,
641,185,051,649,989,687,436,402,851,920,199,966,751,528,009,999,328,296,917,
680,402,459,705,856,014,979,956,079,342,929,294,204,782,748,343,771,264,321,
792,481,727,101,289,113,790,195,830,777,348,926,762,180,540,720,193,322,222,
849,474,779,185,144,081,359,297,326,076,061,934,169,676,321,475,018,606,714,
293,889,944,325,066,489,099,466,588,307,435,971,228,037,458,555,359,595,219,
059,329,748,322,935,070,434,174,264,546,578,683,766,627,594,555,783,942,071,
529,546,615,800,255,814,707,586,203,866,755,252,658,805,409,811,481,991,488,
563,337,228,543,433,271,296,067,308,768,765,231,982,475,587,677,368,574,001,
589,710,320,641,471,849,070,274,291,043,193,407,441,378,792,981,969,905,145,
289,960,703,258,002,860,195,158,381,100,572,021,105,692,355,243,469,603,325,
326,744,348,631,688,462,546,107,740,876,827,225,697,694,355,015,347,014,707,
933,157,536,398,238,214,270,863,935,965,475,896,452,943,483,297,060,757,099,
144,827,298,961,584,394,194,238,731,418,910,923,658,388,415,635,321,053,628,
989,287,699,305,332,450,848,688,876,709,496,660,718,877,071,768,035,825,692,
653,310,496,473,317,322,993,883,583,726,996,466,562,879,371,151,350,242,489,
911,798,279,318,860,274,680,493,027,911,497,449,530,686,105,891,979,386,241,
997,040,826,296,860,871,172,951,940,143,804,327,434,086,279,750,802,283,256,
459,649,116,964,803,698,429,160,148,975,555,533,779,323,818,606,945,911,790,
263,970,933,407,347,727,178,500,096,540,132,847,520,523,590,738,276,685,024,
361,194,041,917,182,779,938,805,075,945,110,529,096,441,154,724,957,230,030,
490,462,284,208,420,478,062,301,197,840,437,245,272,554,464,014,342,838,925,
896,582,982,070,191,698,865,171,166,943,270,879,489,197,649,426,648,039,876,
638,270,839,656,890,941,732,218,624,081,717,487,945,516,828,881,714,160,600,
518,372,461,021,887,446,191,876,520,680,914,729,821,873,430,196,484,102,050,
103,522,770,644,404,436,890,180,935,882,894,160,378,478,383,548,243,871,656,
439,187,771,868,090,007,151,777,788,945,717,601,009,532,143,486,447,478,625,
680,245,977,114,885,794,003,267,069,979,687,464,751,430,709,285,690,966,808,
585,203,201,505,989,028,746,174,832,369,306,519,850,817,482,385,479,109,972,
332,737,855,524,736,932,588,108,301,276,461,892,572,680,809,135,524,769,293,
550,670,586,433,463,354,472,763,780,862,037,387,004,990,670,291,956,196,997,
487,412,798,983,677,845,049,833,624,199,217,579,433,228,552,105,708,069,003,
723,784,673,016,213,628,663,641,925,088,744,704,879,318,923,177,411,660,343,
833,932,016,901,488,747,361,071,080,187,909,228,670,481,695,166,598,872,699,
678,423,763,259,739,566,297,881,408,173,906,387,196,326,884,146,030,653,078,
339,390,482,718,069,047,955,428,809,319,711,424,322,477,367,483,588,275,162,
618,058,058,578,568,324,550,118,012,084,227,478,688,953,929,756,086,907,777,
098,682,567,298,294,996,005,803,602,742,586,641,501,277,108,612,015,414,521,
723,657,692,695,156,898,510,245,266,835,235,797,804,128,734,339,872,156,721,
906,491,141,048,277,852,433,355,284,002,778,978,129,589,394,544,308,516,472,
182,611,248,127,862,683,303,076,048,914,039,782,333,566,076,986,918,667,892,
497,534,835,030,959,815,497,354,200,488,755,029,051,692,316,838,464,730,568,
293,564,312,853,189,928,464,983,283,721,822,160,207,818,693,710,476,746,357,
464,079,696,714,918,662,716,373,666,084,539,518,702,164,202,028,954,118,547,
001,888,562,255,950,514,778,379,102,358,341,710,763,097,418,633,274,118,800,
978,568,852,107,309,934,447,316,079,522,236,316,605,871,027,322,570,192,722,
778,434,075,613,928,272,780,696,870,366,932,280,865,966,956,492,180,017,770,
377,335,913,966,261,449,357,346,551,302,002,909,913,624,488,329,313,055,497,
973,417,604,201,601,933,304,590,148,223,655,501,830,696,888,138,017,687,024,
578,529,696,923,361,442,767,903,219,952,243,539,013,237,726,441,238,745,057,
328,064,406,940,276,639,052,603,581,953,755,679,018,642,580,830,634,313,363,
887,721,297,174,645,352,731,668,246,025,265,978,358,176,188,288,821,412,470,
301,286,412,236,169,203,253,769,084,942,247,139,654,269,449,073,990,901,715,
671,957,873,240,263,462,570,538,923,368,166,366,881,110,485,806,418,886,711,
291,275,167,053,584,575,351,829,914,132,358,747,058,397,237,893,404,905,334,
460,742,455,853,635,723,859,863,542,960,267,854,225,139,268,155,057,468,004,
027,989,342,215,265,317,559,346,917,957,379,347,819,640,717,055,532,473,693,
474,736,754,454,613,841,338,733,379,914,922,886,676,887,904,593,493,407,975,
271,524,959,503,097,897,605,041,128,489,136,948,955,658,682,747,557,799,710,
467,664,246,513,389,337,526,202,823,461,298,026,100,616,862,611,681,816,277,
162,445,416,629,982,159,870,788,342,439,939,757,504,480,634,939,452,426,690,
463,295,932,797,987,383,811,790,231,547,186,811,532,864,775,074,402,555,072,
025,803,641,085,161,136,960,239,096,274,774,924,949,129,134,800,814,434,397,
692,021,129,792,040,342,144,492,653,393,336,678,878,870,454,957,843,054,192,
138,549,603,865,065,427,103,200,065,836,673,259,594,841,519,605,018,361,395,
881,458,781,402,362,680,796,346,403,835,466,500,559,321,088,976,127,341,048,
156,167,138,799,089,755,422,890,316,145,345,466,679,905,612,619,049,571,534,
680,547,347,007,374,616,774,976,295,241,228,093,663,329,464,664,336,399,151,
745,661,806,078,320,410,661,917,057,067,978,530,877,402,189,838,942,924,587,
479,192,668,563,999,797,981,533,198,024,714,869,051,478,276,702,545,122,878,
536,749,892,138,189,090,046,677,547,782,642,082,714,671,414,082,020,338,849,
832,768,064,250,146,157,967,622,216,468,237,646,846,754,966,333,226,078,069,
790,644,602,476,292,935,387,001,313,433,387,837,998,637,670,940,911,058,973,
579,828,521,266,493,694,433,148,068,604,645,359,921,021,049,728,355,257,770,
643,314,656,153,891,394,328,610,923,070,849,996,961,014,025,001,260,679,184,
862,981,310,763,883,325,095,572,224,859,815,272,192,585,701,571,544,438,032,
357,259,780,378,930,774,177,453,633,137,330,466,800,681,903,588,730,550,378,
962,568,852,199,969,980,780,062,423,071,040,962,616,318,091,354,076,794,319,
230,177,897,669,598,319,221,042,838,151,518,889,002,158,599,677,696,633,737,
054,613,163,147,128,763,452,012,977,280,232,838,934,573,250,931,380,491,658,
107,207,641,119,908,450,967,120,106,340,601,714,384,226,666,263,122,604,505,
550,995,303,895,277,876,685,182,199,421,692,978,898,177,062,010,869,724,109,
931,017,250,287,857,541,017,386,953,005,657,869,441,974,925,079,791,980,487,
410,068,805,968,981,078,878,373,974,731,803,243,991,316,274,392,721,714,360,
637,974,862,960,201,131,289,723,201,922,690,590,568,018,230,342,966,602,098,
075,805,640,225,965,239,667,781,183,771,878,741,483,617,583,640,935,082,247,
716,555,052,561,087,796,896,752,748,631,278,325,663,919,031,772,298,641,286,
941,076,754,463,834,052,172,323,272,991,650,924,842,880,056,371,512,702,725,
111,398,309,896,446,952,942,090,601,139,385,198,424,097,283,897,458,993,840,
231,693,591,931,463,318,044,339,986,498,207,737,131,789,365,379,836,577,424,
140,487,318,060,954,623,391,564,108,777,895,482,566,729,451,720,470,422,229,
500,183,638,083,275,987,215,596,267,483,796,794,237,552,587,606,536,184,872,
604,632,937,011,062,379,105,905,283,863,347,468,010,309,452,679,863,483,314,
628,935,678,495,058,078,141,418,398,151,387,629,174,871,620,077,064,800,337,
355,537,985,002,642,018,328,454,072,751,305,293,602,595,661,528,762,176,955,
251,839,892,497,652,209,893,123,099,131,079,752,377,346,339,820,343,048,392,
604,171,005,483,412,492,552,821,799,334,847,464,702,790,999,887,916,650,335,
920,999,962,666,016,166,400,880,222,146,116,743,016,966,217,283,533,303,308,
162,750,943,975,988,408,050,293,550,804,035,639,481,467,067,207,226,086,794,
089,752,475,059,163,945,808,535,231,342,632,322,389,906,560,036,944,556,613,
674,820,249,633,263,209,814,836,321,615,032,896,773,001,726,908,270,011,548,
817,640,215,393,392,976,926,444,103,203,493,907,426,550,277,628,959,419,784,
973,570,417,640,684,837,816,154,683,957,301,196,249,540,499,311,771,527,273,
063,076,320,963,724,114,641,128,633,248,619,932,811,390,796,523,306,026,892,
121,921,903,035,708,011,471,519,173,872,143,105,689,028,047,698,521,375,762,
817,404,486,340,491,703,692,548,118,638,853,510,660,834,141,382,649,094,676,
976,202,868,335,577,251,007,609,354,515,412,028,808,461,534,944,735,580,696,
636,562,243,416,473,615,846,921,647,698,146,445,188,894,002,932,683,099,510,
633,117,588,715,541,401,916,334,830,803,488,968,654,146,840,674,293,841,959,
667,345,616,380,473,442,651,500,118,651,675,212,595,751,220,725,053,578,951,
648,651,070,018,434,172,809,565,013,901,176,297,258,463,684,018,422,000,439,
822,554,262,579,229,120,918,787,479,589,967,964,894,303,178,076,278,045,977,
191,236,167,556,976,391,070,288,283,952,409,585,531,333,318,887,353,404,469,
819,517,028,976,455,112,303,594,001,032,317,880,113,697,181,847,359,800,774,
474,073,867,866,334,604,300,761,420,511,948,629,313,406,109,904,746,068,381,
599,347,481,883,755,261,480,980,506,517,545,360,306,986,723,472,627,156,276,
493,631,006,905,553,646,114,457,751,385,552,283,770,740,397,044,602,547,355,
950,866,606,391,713,312,084,665,412,360,099,781,940,476,465,547,698,004,079,
969,416,558,117,151,314,440,381,717,067,420,153,606,878,410,543,130,635,680,
710,499,118,280,473,930,167,783,231,043,068,365,400,436,506,162,100,720,154,
404,844,501,807,061,071,999,630,370,755,863,438,397,148,577,846,904,552,282,
888,771,069,533,290,608,576,028,369,552,725,854,514,322,889,520,134,612,436,
926,692,481,005,532,044,235,363,954,430,920,600,314,628,970,167,737,848,621,
476,226,002,942,036,070,666,810,019,254,348,962,797,887,627,829,725,547,540,
077,197,140,906,048,007,987,048,287,013,500,667,655,744,021,567,305,423,130,
111,408,901,373,749,664,246,432,440,391,530,798,430,538,767,130,221,884,294,
030,271,496,080,917,520,808,316,902,661,353,650,511,452,771,811,546,908,904,
066,676,735,060,633,532,062,117,559,775,649,993,071,157,350,818,161,033,972,
062,234,931,230,416,563,429,761,701,526,788,058,257,408,995,650,480,876,353,
761,315,743,294,058,221,696,091,662,076,923,562,135,511,258,049,237,540,034,
749,668,136,366,373,443,938,575,955,633,735,285,493,220,213,989,792,670,192,
327,509,839,522,616,241,606,140,275,101,752,644,700,131,566,694,071,522,350,
324,514,998,753,461,815,410,078,270,419,106,167,646,217,587,636,198,183,588,
258,487,735,864,102,744,797,167,667,978,426,022,300,903,755,983,581,004,110,
263,439,390,362,928,194,365,240,274,949,994,829,557,305,551,075,284,847,323,
104,962,299,520,398,078,641,919,009,059,891,574,068,079,236,832,982,864,416,
988,712,648,016,263,519,246,751,206,560,085,544,365,032,260,663,267,565,308,
760,075,221,086,165,241,423,058,268,743,209,760,458,357,145,197,265,623,560,
593,186,882,619,269,002,984,676,829,374,437,539,710,189,891,579,094,072,884,
437,222,794,080,426,490,813,672,453,696,329,643,472,969,711,732,804,743,597,
780,758,490,721,149,993,070,910,185,414,897,495,903,553,458,492,792,325,481,
023,830,124,760,200,885,942,201,275,149,743,676,790,530,810,114,752,384,385,
108,693,125,497,192,309,940,218,004,333,671,755,786,026,500,146,753,936,599,
774,473,540,279,357,674,170,522,001,378,019,419,410,601,961,347,872,670,922,
628,524,186,520,221,245,266,616,739,829,951,637,813,640,233,083,589,545,562,
145,591,633,980,823,793,584,627,220,924,912,543,214,640,591,918,593,281,211,
647,010,274,334,019,953,797,235,463,228,219,294,019,823,576,514,872,058,860,
540,102,591,004,150,663,994,115,139,357,019,044,069,602,904,265,375,133,133,
495,753,350,709,519,313,754,570,301,562,594,960,373,887,678,221,700,946,408,
363,425,081,508,489,931,759,889,361,426,545,075,411,379,857,647,659,194,783,
867,274,352,825,263,401,981,248,456,120,716,090,481,297,700,215,569,460,158,
435,422,288,641,302,161,324,684,099,620,154,978,886,850,213,745,944,868,059,
538,562,652,329,753,201,075,899,269,405,046,781,942,736,921,576,040,186,710,
716,509,217,600,985,444,599,868,034,115,470,249,748,238,476,108,911,355,023,
645,602,168,640,015,204,314,525,878,438,055,227,121,883,673,981,522,716,555,
425,194,076,594,808,633,529,714,126,309,185,482,859,957,818,033,238,344,364,
998,569,175,261,296,945,552,967,346,000,221,993,059,894,153,329,896,523,136,
791,102,784,971,653,095,422,250,322,954,037,139,008,519,268,853,926,694,359,
398,354,775,036,331,373,067,298,991,023,021,041,184,213,563,252,750,038,734,
151,018,047,225,740,994,640,728,979,335,264,597,550,000,477,232,576,512,819,
246,976,638,796,949,595,775,634,363,901,259,212,526,474,205,321,024,358,193,
098,388,317,520,207,455,556,212,261,959,794,493,208,959,281,914,202,995,667,
206,530,411,579,821,823,885,426,235,859,379,158,724,462,390,640,202,141,798,
491,641,859,425,661,010,369,948,101,046,466,405,070,284,753,031,998,650,066,
749,700,761,501,764,525,850,355,019,709,977,347,678,227,225,224,655,139,647,
660,127,222,751,119,664,414,083,131,235,820,632,570,334,573,451,466,245,605,
697,946,364,985,409,938,960,685,021,321,036,929,579,026,664,106,165,940,054,
557,232,429,018,818,590,450,202,741,478,623,801,779,905,906,543,756,510,695,
610,809,773,478,885,218,179,158,430,106,291,965,636,405,855,645,734,288,992,
538,272,520,531,317,303,983,124,628,339,292,352,538,048,761,827,633,853,431,
864,842,539,234,283,263,408,454,589,356,287,885,474,561,776,024,985,147,593,
645,871,220,662,241,261,414,130,464,306,074,691,997,635,841,370,191,473,619,
181,603,529,899,476,012,098,120,926,924,139,709,695,096,523,335,948,137,033,
893,684,646,670,371,330,181,223,994,983,114,233,321,077,480,776,418,298,764,
122,535,205,872,072,783,127,172,022,355,329,807,515,316,875,865,010,878,817,
345,282,403,105,764,157,247,372,733,088,420,816,461,341,532,754,915,937,578,
961,184,360,346,188,168,344,962,463,988,548,627,340,534,414,523,123,629,570,
626,599,403,771,606,917,396,637,633,790,264,050,160,040,490,051,160,913,971,
856,499,326,189,268,591,390,398,067,681,426,610,508,431,769,899,016,233,102,
954,983,002,925,854,305,930,540,353,990,754,404,556,864,403,226,700,709,203,
688,732,655,857,369,299,459,760,736,436,037,317,148,250,131,351,265,145,320,
999,724,576,563,025,518,143,966,410,428,515,877,112,419,873,175,103,534,850,
699,303,623,212,881,279,299,486,017,828,223,851,504,904,319,512,402,151,945,
122,764,070,627,438,818,853,923,740,499,013,762,622,217,523,676,346,304,444,
403,658,802,233,876,139,706,313,568,632,085,517,132,733,212,177,473,031,258,
252,427,814,251,937,876,128,844,341,834,397,976,859,373,491,093,515,384,620,
147,811,223,721,136,431,206,082,364,372,419,316,365,391,399,773,698,622,309,
836,198,173,390,033,258,223,685,733,641,085,981,787,894,947,390,145,209,702,
389,660,024,562,874,525,979,805,437,545,740,574,426,728,130,007,902,839,482,
517,102,141,062,090,786,262,708,712,830,094,043,775,317,602,266,406,537,037,
786,544,350,153,851,568,281,246,628,092,134,550,822,473,633,652,029,774,572,
408,466,010,652,281,790,921,613,000,622,247,410,332,716,973,901,639,715,866,
182,649,310,366,591,427,650,475,373,778,281,049,803,227,757,805,609,835,603,
973,728,746,407,633,231,914,077,494,916,224,485,079,261,006,169,494,920,870,
843,705,731,251,154,907,601,741,763,723,382,728,510,683,557,021,879,725,926,
905,759,503,548,442,589,001,332,789,818,065,285,099,285,233,455,749,797,141,
176,224,105,914,920,897,160,700,058,471,601,614,326,794,632,161,022,495,504,
600,324,132,694,920,128,864,301,999,213,267,842,264,628,497,676,315,363,619,
100,873,062,718,781,335,522,764,439,468,808,827,524,164,538,503,986,829,263,
733,750,060,346,672,652,667,677,073,763,931,370,192,939,038,147,270,007,647,
258,571,044,441,062,400,352,510,171,899,719,931,822,489,518,308,151,314,299,
147,255,738,270,355,531,785,893,393,396,062,371,797,204,562,109,342,117,824,
962,303,155,487,593,273,327,960,130,177,941,933,266,519,033,715,976,840,642,
967,096,120,946,761,601,038,401,034,708,585,746,537,581,614,027,558,937,059,
330,231,567,580,551,337,224,930,505,603,663,391,515,739,034,481,938,186,466,
340,332,300,477,826,045,622,910,214,547,900,219,606,266,725,660,802,774,232,
968,534,111,883,699,916,931,052,696,110,562,274,200,846,731,228,074,893,407,
122,088,023,496,897,552,631,652,098,286,030,251,303,604,648,189,760,109,213,
308,505,042,609,218,153,600,506,208,455,062,190,881,608,889,482,405,880,223,
428,631,925,237,475,058,180,353,464,041,107,442,271,217,126,327,644,378,109,
087,545,904,089,587,417,082,192,589,695,575,368,725,129,719,298,042,421,583,
357,369,797,092,564,514,862,399,197,136,812,729,877,889,249,117,401,023,168,
618,251,779,173,408,117,488,696,214,179,222,252,675,319,827,964,646,336,215,
370,790,051,347,305,701,105,265,360,621,202,899,210,756,093,074,488,730,932,
934,028,674,904,391,314,553,342,753,292,596,617,764,947,853,445,606,782,959,
082,015,177,723,747,049,439,606,172,729,371,612,740,613,321,175,290,502,264,
972,094,855,804,823,615,222,735,384,511,166,657,625,082,949,929,521,308,598,
682,574,633,929,962,037,287,967,521,763,337,116,478,194,125,117,803,110,918,
265,752,356,258,195,982,798,277,647,305,986,511,642,953,309,513,561,347,440,
247,754,436,279,830,496,919,815,162,335,745,726,245,434,541,683,637,379,243,
273,017,489,076,401,504,405,317,081,134,751,548,892,057,405,096,524,671,893,
423,640,847,774,369,998,841,534,511,083,733,522,198,151,200,733,352,280,846,
328,308,308,447,577,667,906,850,679,980,560,370,559,934,835,532,257,330,476,
747,778,540,730,179,059,730,856,921,937,006,628,926,153,302,919,761,500,684,
720,380,619,714,091,158,660,727,368,246,748,166,841,584,246,174,383,725,457,
284,063,249,195,432,720,316,979,905,157,801,049,796,290,157,588,838,428,727,
463,802,747,390,062,165,014,389,805,025,061,481,363,003,215,741,837,687,023,
972,285,659,763,943,514,102,711,690,999,860,022,675,699,550,645,626,782,791,
740,726,382,608,121,019,350,994,506,900,735,371,255,677,836,386,621,748,080,
127,365,744,192,417,657,781,065,045,178,673,692,518,784,846,880,205,997,214,
218,141,854,896,394,305,154,189,217,454,557,052,470,691,816,697,351,039,532,
061,537,130,691,076,579,011,522,516,647,816,423,507,496,690,452,542,101,273,
534,187,178,023,083,789,912,102,285,828,685,630,462,168,133,825,039,954,591,
542,491,393,944,564,611,037,515,916,826,910,266,735,477,095,825,322,862,042,
851,209,319,812,429,226,831,138,632,836,786,019,303,731,126,164,527,272,878,
881,654,785,410,607,308,921,090,988,846,290,505,060,001,257,747,173,360,620,
167,904,109,782,567,242,795,544,424,831,871,212,762,051,415,096,763,519,798,
594,227,350,505,049,812,204,554,056,947,152,013,281,899,088,094,506,318,687,
013,951,727,889,326,235,477,777,303,608,961,910,154,612,774,315,351,881,445,
278,833,877,253,382,531,693,130,506,115,192,977,842,468,324,610,299,592,172,
093,546,122,800,435,332,517,100,947,681,922,401,123,286,534,345,267,004,143,
224,632,521,113,930,989,052,859,043,303,506,378,125,943,788,267,327,827,127,
989,707,428,517,027,761,837,132,869,333,384,086,256,953,166,349,252,907,036,
482,446,622,645,879,985,810,480,181,569,942,100,193,630,933,348,221,088,555,
589,482,085,900,130,822,889,889,108,762,352,076,448,369,605,898,192,186,231,
754,584,168,210,046,097,375,507,894,423,041,404,750,898,995,921,436,925,979,
789,078,056,408,819,047,164,458,460,267,846,591,905,825,634,223,101,471,536,
766,851,840,579,118,002,545,428,353,499,979,081,058,235,838,364,278,302,278,
045,352,368,581,958,868,326,169,775,252,257,316,122,981,940,084,952,725,688,
631,687,779,135,477,357,253,130,084,627,015,532,620,078,197,737,161,738,100,
128,435,811,441,830,202,546,460,898,484,474,593,224,769,273,244,921,151,394,
582,169,769,246,282,195,273,163,371,221,602,539,351,642,987,178,747,583,570,
379,567,639,183,583,890,475,005,512,516,919,877,226,989,483,796,803,458,836,
416,058,882,809,520,716,746,606,435,901,189,742,446,071,105,555,789,575,649,
122,489,960,197,187,179,105,733,892,512,937,378,664,849,966,950,583,154,112,
307,485,993,011,432,426,263,062,509,574,357,263,152,354,827,638,712,250,596,
277,877,119,132,024,812,728,771,772,202,354,696,442,679,033,990,292,281,285,
366,456,101,089,274,871,324,802,341,114,235,556,077,268,522,778,430,594,160,
729,754,971,333,848,760,720,442,668,106,699,400,896,353,357,130,284,080,216,
072,602,924,370,395,577,724,540,146,755,021,417,208,536,552,157,508,721,774,
292,072,848,046,866,803,686,480,213,349,731,705,364,513,685,000,951,283,643,
772,709,662,868,836,842,849,552,760,720,532,697,653,691,808,154,945,144,301,
997,265,275,243,026,354,083,903,102,963,330,243,069,729,188,957,756,272,909,
885,635,524,505,534,243,257,309,361,442,655,239,058,622,367,779,315,766,632,
304,599,151,414,088,143,612,818,862,960,925,484,594,306,787,424,599,989,375,
089,310,227,999,656,082,672,153,519,464,611,602,634,471,006,277,849,989,233,
070,646,477,166,218,090,262,028,288,262,230,597,047,163,849,041,141,960,289,
270,484,988,305,178,837,901,031,915,332,662,625,946,585,533,783,408,019,146,
846,565,569,622,575,615,449,925,299,070,903,326,760,017,482,219,500,883,686,
610,469,911,959,609,152,648,487,449,773,002,207,028,518,335,175,285,143,257,
281,204,427,798,514,846,639,709,876,383,758,358,732,268,069,330,237,241,629,
295,897,373,485,774,258,612,850,463,741,318,619,070,051,097,408,965,095,001,
217,432,583,959,028,667,027,722,680,340,135,007,953,828,511,753,908,909,194,
179,520,375,083,766,108,836,777,119,600,558,521,162,033,684,604,023,146,236,
661,618,414,606,251,848,619,152,849,566,141,375,217,545,911,182,236,560,869,
429,053,108,461,261,302,788,625,279,652,641,756,044,505,573,797,186,679,573,
626,228,902,983,581,064,833,399,044,472,937,480,118,076,133,441,086,999,294,
199,176,160,600,093,911,556,797,427,965,971,649,870,840,768,546,413,806,811,
973,367,135,322,312,550,387,325,981,950,762,441,389,253,031,335,782,275,009,
049,976,037,401,405,841,722,418,502,674,668,834,965,205,598,476,475,124,628,
988,078,453,574,686,969,855,951,088,597,879,540,365,742,592,924,239,622,741,
248,297,047,678,119,056,681,960,964,610,671,506,598,275,434,039,260,204,807,
597,180,891,778,366,764,240,286,449,377,990,647,919,388,931,948,672,549,300,
906,480,199,166,068,171,490,473,903,298,069,517,069,076,477,901,219,627,500,
323,707,633,736,305,321,545,564,072,522,255,293,415,600,975,106,356,128,018,
032,143,608,299,213,981,342,027,186,806,341,728,471,733,163,168,664,888,353,
130,659,065,959,648,195,333,736,228,095,372,258,652,083,037,068,815,769,645,
603,771,369,429,378,435,522,455,748,493,617,824,054,742,252,531,215,761,383,
455,147,471,990,782,182,110,024,777,165,191,656,658,410,895,669,560,975,606,
613,884,069,848,220,782,634,026,185,711,354,830,120,341,198,846,531,411,295,
662,929,468,592,826,280,574,540,018,262,412,564,663,807,240,550,659,953,888,
243,413,792,256,472,549,083,650,711,039,497,384,989,036,119,618,113,597,228,
607,477,352,883,595,244,959,692,063,176,825,230,443,708,797,291,667,243,471,
360,660,450,100,666,715,849,959,374,932,938,512,985,303,680,992,549,343,705,
961,189,868,141,972,480,601,768,561,949,781,415,980,669,892,957,861,578,417,
824,554,098,087,683,205,631,140,030,676,743,500,641,396,892,283,110,043,036,
384,242,573,640,718,416,731,431,804,919,854,529,747,372,519,023,423,345,282,
546,768,673,537,988,307,294,745,154,714,687,607,208,892,662,920,705,794,487,
351,730,739,491,497,823,260,146,846,623,639,049,877,721,345,217,370,919,272,
465,355,971,601,445,494,799,499,236,863,567,642,742,641,239,842,389,947,519,
774,042,808,281,102,014,266,536,946,006,314,529,786,299,701,517,474,287,426,
706,522,485,987,086,907,137,929,931,200,038,999,941,653,466,784,691,336,577,
981,874,071,520,548,584,719,711,692,582,342,617,834,979,899,867,632,964,185,
489,469,835,687,679,317,604,550,093,395,635,524,717,045,328,773,922,199,834,
393,083,682,359,212,521,988,465,072,385,567,898,921,430,357,645,788,531,456,
897,959,958,098,327,192,354,266,663,325,668,085,582,265,422,559,545,597,353,
794,062,922,593,955,515,238,217,509,583,116,480,669,880,343,576,415,314,958,
307,479,888,218,705,844,084,832,097,572,501,232,858,175,528,417,061,095,856,
303,752,098,178,283,594,679,392,213,316,617,858,377,782,888,410,169,107,054,
456,513,868,621,089,315,251,567,363,745,233,391,011,546,145,463,745,334,803,
486,425,083,912,655,204,426,898,574,780,820,957,018,794,108,733,451,420,960,
574,483,702,324,399,884,336,773,677,280,290,332,698,811,604,040,162,173,376,
402,963,872,958,733,364,233,148,119,070,947,249,908,343,437,025,469,457,848,
187,340,518,845,099,021,775,880,610,118,673,602,955,410,539,883,941,775,799,
267,279,463,224,781,710,574,561,312,491,442,684,164,730,648,043,747,196,150,
621,930,955,052,449,645,040,287,296,140,261,839,231,600,119,092,742,848,173,
158,301,152,848,952,301,207,530,278,432,921,469,287,574,682,665,920,166,899,
525,726,704,500,171,730,320,577,455,577,273,260,190,261,124,304,831,995,826,
085,938,921,816,284,156,440,330,008,629,069,130,888,630,209,447,058,733,631,
429,128,846,215,303,478,873,979,288,402,068,904,228,773,812,005,256,250,149,
268,559,230,665,828,896,492,016,132,273,479,143,158,923,624,227,384,882,460,
659,853,348,195,398,289,064,769,348,803,652,169,984,120,977,533,175,151,295,
890,599,286,263,644,857,318,715,847,776,135,346,253,797,545,687,538,596,819,
564,771,161,544,997,185,819,434,954,589,711,663,425,027,486,379,590,198,137,
537,828,882,231,822,257,810,043,228,157,860,279,322,421,909,513,553,736,229,
848,312,120,413,573,668,350,746,374,571,476,981,711,837,871,609,987,135,430,
351,391,264,518,868,886,421,241,557,937,522,266,274,131,481,395,978,190,904,
479,532,702,978,974,298,628,449,898,949,623,016,936,475,795,402,168,838,365,
257,227,554,381,683,626,684,624,426,037,340,647,829,603,237,806,046,816,281,
145,780,428,149,923,489,142,876,552,862,855,064,116,065,364,925,991,552,559,
485,397,975,087,799,111,664,334,636,127,657,313,566,956,832,135,164,253,605,
724,956,665,654,924,878,504,060,672,611,852,737,144,209,006,089,508,097,362,
203,158,612,939,638,467,652,097,229,919,527,195,589,093,406,706,318,079,890,
748,551,434,910,898,416,978,081,157,640,797,823,143,006,904,222,422,079,846,
554,935,989,157,154,366,475,737,815,810,922,627,958,400,401,634,952,355,767,
608,107,957,283,812,367,144,915,504,733,879,526,188,017,729,549,213,666,098,
052,712,050,222,122,989,089,727,349,683,207,497,641,399,216,775,645,428,927,
287,302,312,759,750,573,641,075,666,907,393,271,631,442,693,738,155,652,632,
177,718,575,387,081,914,357,238,747,669,260,285,452,924,799,881,527,652,836,
816,118,647,611,024,875,615,812,529,762,725,100,286,900,049,560,409,146,660,
367,747,747,299,041,254,576,953,381,412,330,140,858,474,388,432,092,136,475,
905,275,951,894,455,140,344,300,723,285,673,539,668,113,059,713,209,795,026,
098,568,017,519,803,531,643,132,483,731,875,696,288,855,375,791,917,219,092,
884,553,082,950,992,114,101,189,545,347,816,347,466,233,775,439,802,655,068,
648,040,784,177,359,096,677,493,359,064,843,306,307,962,951,849,792,842,523,
612,144,757,204,435,655,541,596,240,783,275,652,256,225,616,576,743,622,682,
295,041,653,226,569,706,592,653,427,658,925,011,509,270,727,796,609,941,768,
735,920,374,862,887,960,508,588,969,398,701,016,096,845,368,614,691,484,171,
334,540,486,945,926,822,998,075,584,440,047,477,756,137,268,155,928,976,585,
711,406,905,541,270,384,905,373,882,318,737,912,370,543,110,261,529,222,706,
410,003,671,011,478,828,463,299,789,054,864,327,476,596,086,461,821,868,912,
844,394,951,709,478,654,621,884,811,504,991,337,586,967,889,943,909,307,903,
916,127,640,131,844,131,375,617,895,024,954,589,326,264,102,916,510,311,048,
323,443,874,282,425,008,975,782,988,806,285,674,396,474,063,782,371,323,506,
989,731,045,438,744,088,687,525,163,140,832,300,294,668,351,849,270,092,415,
690,109,474,106,313,627,446,025,644,651,151,197,110,201,055,508,085,139,462,
320,527,788,216,449,536,104,109,074,142,408,627,951,767,698,988,733,945,811,
441,587,864,358,850,017,593,708,051,807,724,970,138,983,212,572,708,249,713,
635,418,109,136,315,796,441,390,434,741,145,484,165,664,872,766,679,766,054,
006,088,127,180,581,734,471,810,411,499,916,439,726,696,708,499,082,813,840,
918,535,766,869,036,045,720,999,531,032,862,093,956,253,221,820,124,893,059,
679,274,347,577,113,551,882,867,489,915,625,647,945,705,172,469,939,092,143,
345,003,515,943,473,770,129,820,019,909,555,116,171,699,701,017,627,848,411,
479,340,799,937,903,993,638,070,052,754,488,091,875,140,440,114,690,987,576,
654,815,327,963,956,717,463,169,899,271,795,901,039,885,029,568,672,324,303,
416,671,745,241,716,744,187,750,261,263,279,857,124,622,962,260,075,109,141,
208,211,717,000,956,208,638,256,469,793,619,304,426,608,095,929,822,592,590,
514,621,924,556,946,880,686,582,039,544,218,282,872,442,026,771,788,185,306,
566,247,972,135,814,210,387,440,804,675,811,442,849,446,817,552,084,778,132,
149,994,718,803,384,217,523,909,552,785,123,063,042,103,456,122,774,527,749,
906,654,951,516,455,879,053,079,514,231,496,704,258,178,602,897,682,855,763,
522,156,187,655,531,309,303,872,367,811,038,249,521,325,663,413,364,235,206,
061,228,707,947,076,139,302,373,830,505,059,146,261,559,213,429,559,350,446,
744,835,538,689,087,105,073,228,568,478,140,297,594,977,008,812,174,401,445,
511,512,816,545,307,303,581,635,002,624,443,227,596,341,720,480,513,230,460,
587,711,885,353,915,533,387,495,572,362,933,886,518,695,127,345,326,838,827,
933,557,327,747,238,383,282,867,431,630,348,868,012,576,300,783,236,274,117,
794,644,867,443,648,399,366,258,636,647,891,119,858,618,567,020,611,174,264,
636,227,203,792,967,715,187,445,632,926,163,949,278,001,889,402,001,680,054,
786,019,298,750,156,692,605,912,691,612,343,771,628,981,182,703,582,450,227,
064,900,684,246,145,261,255,701,545,479,250,696,459,025,649,997,411,562,137,
600,979,532,650,830,298,235,033,222,630,270,824,977,284,623,081,920,113,498,
789,577,853,917,825,991,931,524,300,751,174,656,013,818,784,018,574,654,798,
783,641,082,483,324,397,961,970,295,616,016,201,912,559,154,946,683,092,865,
647,075,744,043,193,727,238,930,224,852,886,574,569,792,946,826,795,201,530,
423,553,487,510,268,108,844,811,473,350,667,050,722,446,518,488,012,983,774,
436,178,251,751,244,323,094,681,269,978,267,850,810,740,702,355,550,320,642,
450,031,599,356,644,784,624,547,799,212,815,123,190,630,528,257,948,711,573,
260,633,934,852,601,943,269,863,529,605,462,933,008,120,152,096,790,318,382,
623,170,168,124,935,659,093,950,883,384,215,614,112,291,313,260,315,972,585,
616,387,956,669,229,642,047,345,988,937,103,198,557,195,150,921,728,577,998,
630,314,984,322,747,868,389,094,793,225,588,620,240,272,898,641,874,348,934,
785,459,097,826,016,569,282,593,950,878,996,452,346,026,086,677,800,684,226,
754,231,652,515,768,858,692,823,993,028,467,697,885,573,650,223,744,667,689,
769,276,384,273,159,599,365,508,096,743,407,219,930,629,828,119,893,901,236,
562,885,105,647,941,675,534,632,018,841,554,947,669,879,053,676,459,876,502,
563,231,750,567,282,560,205,143,766,060,893,723,140,141,586,030,509,850,761,
158,974,891,540,924,048,057,687,190,165,444,147,112,174,471,032,168,492,192,
096,397,052,781,450,866,518,165,503,088,990,923,179,743,934,012,595,340,867,
286,999,816,725,965,734,960,646,134,904,170,538,081,831,261,646,473,369,844,
749,904,718,282,408,042,740,037,089,467,713,677,681,022,156,629,248,660,776,
474,964,423,120,460,224,020,151,118,102,767,473,427,144,898,051,416,742,806,
808,072,801,185,287,290,523,101,263,516,510,178,561,276,903,997,520,181,415,
988,292,541,910,596,831,843,868,493,074,754,520,722,047,205,859,145,269,897,
961,273,927,881,114,352,288,634,331,433,547,968,053,293,176,197,541,782,727,
338,689,379,119,193,634,961,864,893,910,140,246,724,415,134,703,917,906,346,
982,113,636,665,185,654,458,444,268,453,892,490,170,584,089,658,508,372,470,
862,358,293,492,474,331,409,969,089,729,764,835,847,074,989,555,526,431,084,
076,635,264,042,172,040,283,347,399,114,996,931,586,862,594,856,181,099,890,
503,753,470,013,704,306,092,764,939,793,504,597,888,222,150,220,816,322,840,
380,507,089,652,260,459,178,294,216,965,160,600,980,888,388,892,839,732,479,
978,153,423,935,747,747,633,366,059,815,467,415,666,148,642,794,566,935,795,
953,693,459,687,591,749,135,683,742,076,715,253,714,784,723,910,048,266,039,
570,871,837,615,796,911,740,195,753,367,970,766,051,901,025,810,877,143,116,
168,437,763,646,543,483,499,122,106,446,807,589,382,425,584,868,175,772,766,
874,578,351,296,681,766,687,452,016,612,998,973,701,910,757,221,103,953,477,
550,223,991,394,099,960,868,482,123,390,877,747,583,108,551,414,530,904,817,
140,344,515,493,837,763,728,724,877,216,735,128,318,222,014,982,227,645,395,
359,668,815,965,262,980,160,236,050,249,560,686,355,701,443,017,679,875,285,
524,216,330,963,839,313,349,493,012,194,512,281,608,402,313,069,019,038,551,
289,755,586,072,265,147,178,065,955,224,541,048,751,172,038,253,303,929,713,
068,775,526,448,641,869,055,551,744,261,732,118,453,745,295,974,091,910,398,
768,715,741,844,076,017,431,349,497,618,838,560,651,518,599,910,947,571,432,
396,803,299,389,490,652,818,214,354,162,193,838,980,946,753,792,140,222,263,
554,957,226,345,719,667,987,780,867,090,352,391,403,535,789,438,307,031,195,
803,554,251,663,234,036,721,073,254,031,408,276,512,207,848,642,281,394,544,
483,583,924,818,710,093,288,489,954,417,507,591,030,675,001,514,369,371,586,
655,670,767,768,343,534,845,933,888,860,536,521,925,479,733,644,807,262,244,
235,606,599,791,922,073,087,021,408,370,848,160,032,831,063,262,077,497,922,
792,007,211,214,178,712,530,554,283,094,593,188,759,692,770,328,491,920,843,
017,317,612,694,580,343,370,077,263,109,244,428,825,061,757,550,522,525,044,
174,857,582,289,685,437,359,847,686,779,722,064,817,018,951,834,905,345,805,
153,814,126,796,727,681,504,977,463,140,576,832,804,506,966,909,699,480,836,
443,725,821,747,323,999,395,792,342,520,316,869,831,268,851,445,988,537,927,
824,881,882,240,725,943,201,363,430,796,580,079,515,257,941,111,795,154,456,
672,416,010,580,968,381,950,204,383,556,084,483,400,169,181,881,707,198,264,
022,610,828,993,919,035,098,604,196,329,724,314,828,100,365,349,815,618,015,
261,673,624,215,399,165,499,705,705,030,350,673,208,280,475,555,374,008,706,
051,799,105,251,105,211,222,895,721,774,056,969,758,145,552,981,728,883,065,
764,801,401,020,461,888,561,325,951,665,360,859,047,492,322,880,960,186,070,
082,579,868,866,487,337,302,999,053,343,099,513,818,271,671,098,348,334,775,
116,530,960,938,778,855,710,324,653,205,735,109,093,511,728,474,042,815,984,
312,091,556,352,624,853,473,813,398,268,741,475,767,071,722,188,452,603,528,
680,590,976,037,678,954,584,539,414,994,018,446,108,003,446,440,053,092,320,
881,548,641,794,944,597,209,794,204,044,018,328,408,233,384,166,903,242,376,
419,714,194,794,253,582,911,826,695,064,998,281,593,892,412,491,441,489,277,
109,697,946,216,777,033,162,406,289,844,816,410,958,047,133,053,190,148,425,
750,401,076,943,346,303,856,978,259,968,459,512,082,205,765,517,689,127,365,
221,876,382,366,134,446,906,299,405,479,800,360,954,975,078,236,472,640,846,
457,748,464,440,986,578,117,869,901,878,493,451,179,923,061,021,489,585,078,
223,799,056,473,099,097,732,475,465,159,445,890,242,691,747,914,792,871,637,
077,920,268,598,318,435,454,751,429,184,864,012,680,492,009,091,136,756,303,
768,812,921,315,808,822,407,287,356,760,973,047,331,792,735,210,590,964,533,
608,819,492,617,288,356,798,390,888,463,868,655,860,409,105,419,058,623,811,
164,385,570,514,951,175,057,501,289,720,459,147,515,056,016,981,247,532,912,
516,985,753,029,763,154,019,697,198,423,664,895,539,387,718,933,444,311,676,
078,196,206,900,981,547,224,697,852,707,178,772,380,001,300,083,984,416,092,
495,094,139,066,405,438,904,736,414,354,048,496,441,994,160,948,471,104,207,
613,407,223,890,839,103,953,529,792,036,375,206,267,102,897,174,204,805,454,
333,669,498,794,957,526,162,194,335,605,706,757,484,319,617,389,524,865,245,
848,528,654,717,541,712,985,791,938,299,890,830,893,256,232,608,802,959,590,
992,415,445,459,719,110,965,446,774,697,007,063,953,418,607,842,105,433,731,
857,726,260,617,878,980,325,162,122,858,408,363,706,840,684,733,072,518,974,
899,350,775,012,233,941,826,688,575,254,136,172,009,030,326,751,844,598,414,
187,389,474,442,443,145,785,169,144,295,776,676,315,289,604,398,478,087,827,
577,967,801,908,772,756,128,372,753,493,494,061,029,788,825,563,843,203,530,
233,306,134,893,214,054,794,215,249,555,903,793,375,768,448,389,807,030,238,
919,021,765,068,924,383,227,156,209,567,055,271,739,896,291,215,622,464,806,
915,154,404,916,897,183,185,536,139,279,827,403,346,237,064,402,909,585,052,
627,863,960,554,612,656,452,821,128,147,773,448,920,193,574,057,927,995,947,
577,486,053,861,068,240,599,782,874,008,213,920,472,013,751,598,690,004,679,
899,464,472,424,376,458,530,891,469,868,700,857,213,168,001,281,794,156,025,
451,708,003,137,686,799,196,985,107,140,056,739,016,840,096,277,638,319,980,
475,012,645,151,491,783,896,270,730,773,871,709,230,285,334,555,647,968,496,
884,085,311,748,155,539,279,650,189,066,763,940,073,541,986,246,987,708,614,
648,044,344,831,426,216,472,442,483,392,035,408,861,621,558,261,503,192,353,
618,850,938,235,250,436,595,257,409,809,442,216,030,885,239,984,170,098,182,
479,280,294,127,505,643,280,726,941,842,680,053,012,960,789,497,068,096,369,
550,223,084,801,693,909,431,455,028,099,919,959,491,541,330,333,982,220,604,
785,989,476,345,689,452,792,669,390,120,553,243,990,534,520,964,673,015,285,
865,235,223,832,561,144,643,231,433,161,057,915,885,723,447,870,939,081,678,
173,144,837,421,597,089,935,998,157,596,121,400,287,189,985,312,439,180,195,
593,750,838,976,984,732,759,459,390,949,895,340,940,200,719,380,900,036,609,
355,820,836,270,238,760,303,230,594,158,192,504,448,809,084,811,224,232,344,
200,765,155,426,345,877,421,224,251,397,241,581,678,202,779,812,098,079,622,
085,593,635,618,913,852,315,251,433,300,794,380,837,816,324,812,678,680,026,
075,076,701,134,274,141,351,774,842,582,409,206,311,464,576,936,026,769,731,
336,695,578,561,316,594,076,151,178,815,986,399,791,663,558,537,578,468,151,
978,061,200,093,063,029,029,088,984,463,329,918,323,874,392,226,718,855,071,
390,165,358,704,089,365,412,402,625,025,374,519,543,576,623,672,938,735,327,
658,682,877,071,694,429,960,799,403,335,857,751,065,800,259,443,748,767,245,
423,475,365,897,101,608,825,985,544,712,817,808,055,748,490,196,986,442,897,
862,203,452,319,212,581,553,262,541,666,316,580,917,545,001,295,843,021,839,
756,363,596,619,020,010,319,650,904,818,644,744,310,594,694,761,333,911,372,
468,722,064,451,644,711,540,972,765,429,447,691,164,406,017,673,202,951,461,
010,592,204,955,039,238,523,765,985,941,702,589,118,803,718,500,133,706,471,
538,427,707,638,804,165,343,168,622,983,633,438,825,085,664,906,703,947,849,
266,392,559,358,950,973,776,594,179,718,954,540,216,671,248,612,498,378,655,
513,463,958,950,185,554,834,628,533,072,360,458,735,944,849,836,968,818,886,
855,562,922,343,450,715,950,792,631,604,961,766,897,704,413,068,643,449,667,
132,563,338,562,650,210,334,522,782,003,185,855,778,460,517,528,543,543,256,
697,236,752,745,552,293,259,213,570,880,433,219,376,656,568,609,884,054,590,
529,521,986,458,563,985,175,952,918,762,204,889,881,821,900,063,866,163,081,
714,606,408,890,704,204,227,732,745,646,642,731,391,369,360,926,488,243,434,
827,880,929,477,157,792,603,716,854,746,879,060,125,400,303,802,179,180,528,
140,166,686,831,296,360,240,509,998,541,874,825,618,888,231,606,218,205,792,
886,668,649,810,420,234,428,625,061,535,823,081,534,348,367,049,197,610,026,
482,407,764,054,163,460,335,872,005,865,976,347,444,338,748,549,805,312,752,
562,458,826,453,976,464,433,742,704,465,956,992,832,067,232,601,878,335,798,
774,971,386,052,621,308,014,899,435,589,682,212,867,338,626,079,366,003,080,
167,753,712,335,093,501,277,936,195,358,961,614,919,326,625,933,203,076,041,
343,094,649,775,257,968,355,918,129,115,439,679,181,902,079,593,677,000,435,
498,133,660,307,795,994,735,807,048,523,824,853,682,195,245,286,092,849,750,
377,728,898,840,702,645,955,944,915,811,562,195,091,738,655,495,767,932,422,
194,888,443,876,813,896,680,611,118,040,922,328,837,859,431,773,963,865,893,
001,812,232,921,680,746,277,828,863,214,264,166,141,090,886,176,829,105,915,
330,660,948,820,756,571,553,400,175,058,424,642,554,414,042,593,152,135,785,
296,981,339,769,656,674,258,742,669,131,339,401,679,700,074,185,198,209,796,
000,469,711,927,041,385,824,683,528,151,537,133,759,599,550,476,446,757,047,
307,034,185,662,561,360,189,677,527,304,175,692,855,673,028,163,053,640,507,
445,973,778,155,654,947,046,209,188,082,937,413,083,708,448,992,017,638,721,
773,740,037,936,984,267,753,344,030,406,495,194,723,642,542,471,365,476,736,
467,442,464,498,899,835,197,975,750,030,343,050,957,839,954,895,796,199,036,
392,519,478,687,875,375,292,025,372,593,255,116,398,015,473,108,251,248,938,
178,997,658,516,932,648,941,546,535,199,829,563,149,113,892,880,126,539,497,
096,319,916,453,897,614,152,621,156,972,652,268,517,200,467,403,785,641,726,
460,230,008,979,906,923,592,699,286,516,336,351,051,537,206,706,806,462,574,
983,450,233,043,587,271,153,147,256,612,802,071,319,088,267,669,598,846,313,
614,486,504,379,450,066,332,252,010,161,102,419,892,742,981,903,831,896,281,
105,361,068,726,995,815,300,537,275,238,150,512,170,565,924,303,150,775,587,
533,152,160,635,611,840,211,785,396,650,842,395,054,323,527,017,792,495,835,
124,084,170,006,467,735,693,656,286,774,077,968,160,142,833,795,060,414,279,
020,210,500,360,853,041,166,520,347,655,246,841,001,188,455,812,077,074,271,
332,356,666,985,203,520,006,429,767,180,614,834,517,928,893,200,047,580,812,
957,007,469,676,326,641,740,087,252,677,596,490,041,967,081,212,215,113,331,
303,407,266,777,160,898,627,771,393,091,442,032,054,443,364,051,140,860,998,
410,451,647,452,807,779,337,137,788,740,160,504,997,542,966,210,983,137,058,
876,850,465,667,573,257,444,626,894,618,481,053,326,858,075,024,379,010,582,
198,404,888,251,289,185,666,480,660,070,367,946,028,252,264,597,170,131,856,
951,877,148,846,072,966,493,812,604,660,229,220,801,404,906,360,365,519,145,
337,900,658,349,312,318,698,500,417,886,185,479,995,114,257,948,157,693,915,
015,238,924,624,973,265,859,891,244,047,323,248,690,579,117,662,872,781,149,
118,128,970,812,334,089,906,760,415,123,091,850,593,373,166,066,263,574,135,
316,824,730,343,292,201,688,477,436,265,324,878,840,018,519,453,678,942,923,
577,684,307,684,289,069,418,639,226,846,527,576,061,511,770,635,613,153,301,
343,802,001,346,815,018,081,460,731,613,811,980,866,395,197,966,278,255,665,
110,377,870,449,165,135,847,728,880,890,459,903,668,916,767,457,532,170,174,
461,395,335,232,119,882,107,894,829,150,399,048,395,261,999,481,968,965,517,
807,545,139,077,474,650,414,030,526,262,376,534,821,826,987,901,661,718,161,
258,366,112,928,190,479,886,063,396,198,239,876,688,270,931,867,523,691,080,
876,361,900,042,233,198,697,553,472,955,456,615,571,894,127,629,582,588,026,
428,745,879,868,283,882,192,115,278,612,105,425,825,818,621,456,229,998,132,
323,422,094,293,387,131,888,692,088,989,165,389,457,583,521,174,836,156,643,
450,690,653,433,814,582,075,061,821,121,982,701,718,162,900,955,537,868,383,
581,072,660,804,201,459,154,473,454,725,402,748,288,824,023,016,958,163,643,
216,730,712,074,079,183,131,244,423,836,089,922,883,961,087,558,263,539,763,
996,211,949,493,766,659,105,046,069,460,361,680,280,147,734,583,647,217,786,
776,252,907,249,132,960,796,809,656,003,861,946,785,564,354,200,998,645,078,
211,234,166,675,145,266,597,630,431,436,217,079,723,748,950,979,254,711,997,
883,777,173,834,465,143,631,708,076,184,016,705,036,558,935,914,208,203,325,
681,311,315,809,652,451,819,531,428,063,018,122,835,431,991,822,060,388,914,
202,378,555,624,247,255,041,344,969,824,168,895,624,738,358,046,973,997,383,
479,502,279,107,986,585,523,761,623,950,108,512,188,653,605,623,162,156,514,
053,392,016,993,035,184,352,158,357,445,028,457,136,402,658,223,844,167,281,
546,995,993,561,630,594,072,963,739,454,081,733,914,712,670,302,361,817,791,
071,023,649,212,465,101,315,968,901,014,209,757,796,139,454,155,015,632,106,
723,660,482,150,415,031,792,710,744,452,319,889,592,967,520,860,404,103,477,
748,758,200,110,008,369,357,812,394,600,311,713,193,078,431,125,791,741,816,
155,939,711,389,401,736,729,965,378,542,088,160,809,068,093,987,326,063,407,
862,360,376,615,327,281,720,880,767,453,042,763,478,380,318,086,409,203,967,
360,339,937,046,810,701,425,500,728,786,603,042,674,545,961,558,835,205,139,
674,245,887,390,748,750,238,731,767,737,582,713,938,119,189,506,726,292,287,
765,820,029,278,249,471,049,672,848,971,334,984,046,074,705,528,741,890,751,
862,704,236,066,896,090,314,550,562,784,209,867,506,628,520,437,682,781,311,
041,630,541,585,520,601,808,543,017,566,167,407,849,898,696,186,075,161,638,
126,278,720,810,824,289,490,715,902,742,749,383,066,698,886,399,918,049,992,
362,304,427,244,573,150,773,674,896,110,235,003,018,717,973,331,821,506,190,
636,503,585,684,752,461,769,622,375,360,316,684,572,509,567,692,416,812,965,
516,254,033,450,989,789,559,060,300,370,095,590,621,882,179,321,558,384,730,
349,581,624,535,241,751,988,237,526,432,188,807,595,004,285,608,628,843,704,
946,990,965,915,506,420,068,263,681,776,581,725,116,622,962,048,530,283,189,
962,326,744,939,167,702,616,868,964,670,400,796,311,380,359,510,997,471,755,
960,304,395,627,806,406,424,443,561,688,071,671,585,667,111,797,134,819,066,
233,242,394,817,772,446,273,988,593,137,065,161,351,569,587,779,715,443,221,
288,089,557,832,489,526,424,927,954,395,291,877,625,636,882,142,559,965,545,
391,362,821,772,937,568,702,793,570,574,095,683,619,188,571,819,937,521,459,
713,100,923,882,689,385,789,347,158,500,596,447,352,696,189,189,903,745,891,
504,515,864,010,926,982,582,295,078,199,113,168,481,891,169,513,515,406,241,
281,613,360,048,790,427,787,380,226,062,576,726,084,458,650,322,102,183,644,
548,537,415,694,275,100,486,604,530,781,050,449,888,639,789,045,765,608,538,
073,789,366,102,338,580,487,076,028,796,430,648,390,049,468,952,148,432,452,
737,169,847,073,680,587,226,723,925,576,049,544,881,035,560,923,390,142,281,
999,696,640,122,214,283,844,471,325,972,778,305,303,446,930,382,373,952,026,
661,133,552,561,505,867,957,966,420,127,093,214,587,622,697,428,779,534,619,
086,516,884,994,167,039,287,130,932,035,615,365,458,882,335,036,902,482,549,
979,331,122,004,402,654,666,308,592,981,205,584,682,190,231,748,141,651,571,
356,247,892,769,665,169,064,917,044,139,366,516,614,161,790,966,493,581,153,
874,612,292,867,738,730,895,464,751,805,966,786,501,219,469,761,735,259,083,
548,499,241,845,746,665,259,241,426,668,411,689,699,951,244,526,750,659,474,
485,092,399,203,206,681,884,795,090,716,974,021,175,447,311,998,425,569,924,
491,084,241,722,456,330,794,018,888,149,844,553,685,611,711,823,762,866,320,
929,111,967,034,703,637,624,162,776,437,741,417,302,270,354,843,176,568,164,
326,949,758,313,186,664,304,602,573,780,013,822,516,037,024,160,271,588,290,
771,677,187,280,661,456,798,552,937,780,483,762,714,263,595,558,438,541,606,
741,995,943,103,865,538,735,187,157,658,396,659,681,791,557,470,469,383,662,
054,312,646,767,335,611,557,488,501,092,093,695,506,808,358,927,589,718,091,
380,878,155,784,902,822,550,897,690,918,109,098,199,584,909,319,665,501,040,
787,685,575,279,521,876,641,079,643,510,807,586,184,577,678,020,235,502,994,
021,887,286,898,378,472,913,247,651,088,300,241,726,662,602,929,639,580,430,
682,532,967,743,891,624,568,126,468,204,736,525,086,615,297,640,353,902,037,
407,988,661,168,913,122,797,577,161,857,442,618,866,108,854,635,693,346,126,
000,958,863,889,529,391,483,968,930,340,884,581,613,667,517,691,248,205,053,
241,165,593,952,214,336,476,540,795,578,725,454,753,219,728,804,558,537,725,
293,852,520,794,417,174,882,941,561,421,769,636,895,540,555,993,386,988,597,
535,850,448,317,217,792,477,460,444,615,479,957,862,450,585,920,070,326,743,
786,681,148,001,771,064,098,356,726,002,589,552,416,884,295,546,114,094,511,
463,545,237,316,791,680,048,361,918,166,632,724,235,061,466,471,383,233,852,
776,285,468,935,621,938,496,178,211,999,805,511,590,808,130,671,651,080,226,
828,377,703,142,891,626,428,596,725,662,541,144,828,638,728,510,915,589,815,
944,584,202,674,454,844,603,084,855,514,603,068,884,459,993,510,084,381,583,
216,360,616,153,414,519,507,302,735,027,708,100,763,749,904,600,103,685,784,
554,153,948,717,695,873,407,295,722,140,211,944,207,208,352,771,888,864,062,
746,275,594,157,434,256,315,841,128,911,331,148,352,688,659,399,780,813,363,
336,502,311,513,839,229,763,946,260,136,759,933,485,298,123,624,862,954,741,
190,783,373,982,640,407,789,035,223,052,034,203,131,626,586,929,357,827,729,
489,988,740,157,595,713,696,653,226,167,511,453,822,807,521,656,616,417,585,
984,266,262,919,578,621,384,811,560,249,202,447,695,994,300,757,497,604,077,
595,296,588,554,382,124,995,375,689,383,701,993,658,348,028,048,141,496,657,
291,280,822,793,627,728,991,137,438,882,694,851,382,301,682,427,763,861,765,
840,120,577,276,938,044,087,672,787,230,144,879,261,115,148,609,768,046,779,
083,989,292,383,565,918,320,947,487,289,809,760,075,551,200,979,237,355,840,
899,570,768,313,780,926,122,542,609,511,680,743,350,873,304,117,700,986,225,
366,374,467,844,610,386,543,220,423,766,582,590,358,894,403,097,609,222,207,
102,414,508,193,173,369,104,921,778,791,951,009,145,930,553,435,263,684,289,
122,914,227,120,510,724,631,003,307,855,232,081,924,481,336,554,905,762,164,
954,613,747,613,448,451,275,603,444,780,560,284,005,404,052,567,072,658,175,
401,004,408,990,584,895,933,281,570,196,614,042,783,599,796,192,153,936,181,
922,585,202,710,778,538,300,008,165,503,618,732,775,006,490,481,265,568,600,
810,020,027,737,488,203,160,158,913,960,005,678,385,188,674,254,127,967,884,
773,055,941,566,149,857,226,277,423,583,716,107,568,356,313,802,019,660,814,
192,652,011,064,365,617,815,111,650,825,300,927,959,785,048,618,891,243,445,
270,183,992,479,384,686,833,348,876,298,210,474,085,309,853,142,166,821,989,
995,712,898,217,872,445,501,464,035,924,551,713,648,586,418,826,519,063,577,
389,668,426,875,396,774,551,221,090,263,311,731,590,306,146,064,714,830,758,
001,521,839,719,498,204,584,276,547,602,518,354,397,757,253,657,301,466,930,
165,659,636,613,424,128,607,579,056,411,382,981,170,806,455,263,305,538,779,
356,359,198,029,258,724,426,147,631,776,483,831,213,809,050,755,221,907,694,
057,071,443,033,465,517,625,280,123,769,161,942,350,629,720,418,085,255,928,
912,733,253,092,737,310,273,344,563,585,290,903,430,371,692,212,593,761,374,
308,576,219,685,459,331,652,732,549,482,130,891,300,564,974,152,559,658,968,
656,992,820,243,377,596,868,983,637,706,214,625,973,217,333,511,727,320,450,
687,018,236,917,408,705,416,737,373,214,885,208,806,568,629,880,103,497,202,
455,369,922,920,069,895,151,373,337,794,133,268,375,116,453,197,200,843,757,
425,152,120,981,395,683,811,555,405,735,518,439,806,799,980,200,344,297,068,
439,139,856,376,655,753,927,652,552,991,173,194,528,788,215,886,065,143,742,
477,778,927,423,952,048,358,911,073,633,119,109,725,049,871,184,357,509,761,
790,669,764,409,781,146,467,820,845,011,642,395,313,304,338,311,597,550,211,
411,069,074,954,415,875,058,255,419,604,090,254,059,675,396,690,120,001,370,
014,023,505,325,847,174,549,208,148,628,187,491,293,760,165,031,944,408,516,
104,821,157,236,404,945,847,734,486,750,178,540,165,699,436,308,234,277,476,
166,553,641,748,320,121,058,198,338,322,241,924,997,882,004,099,849,974,734,
667,820,080,865,272,489,999,016,583,404,710,956,238,434,892,984,257,866,698,
895,380,953,398,931,155,197,782,079,156,727,933,241,322,712,952,563,417,548,
639,494,908,725,357,138,915,688,999,981,312,790,079,575,479,667,356,164,911,
119,608,168,318,636,475,539,825,369,212,396,993,516,317,623,136,611,774,553,
959,772,535,005,423,628,116,990,697,517,051,486,220,423,390,398,905,502,084,
912,339,230,904,033,503,777,756,130,330,795,153,961,031,955,124,458,535,568,
743,077,551,583,289,468,277,952,569,088,025,071,461,611,054,143,371,952,866,
328,187,425,630,030,975,584,705,668,807,325,478,597,610,817,127,229,104,127,
994,712,566,706,840,896,391,946,066,908,968,313,390,934,615,336,526,278,187,
766,656,897,332,884,519,358,749,002,982,324,457,664,966,502,605,419,336,864,
484,882,996,390,693,612,814,334,865,220,660,394,137,679,577,329,947,832,153,
010,638,474,559,264,794,966,214,979,672,513,663,612,257,151,933,649,966,669,
479,287,121,885,499,143,911,449,568,971,345,864,069,802,769,595,133,965,787,
205,842,829,102,314,617,499,225,578,662,701,962,385,671,919,650,775,934,271,
445,111,723,283,787,180,948,907,684,774,164,903,412,019,937,152,438,783,450,
565,023,281,726,618,283,798,981,908,414,026,116,501,400,857,025,077,951,054,
907,009,976,046,213,296,035,306,233,354,196,635,418,779,680,817,009,537,600,
826,066,772,740,072,633,082,086,937,569,330,566,035,773,424,071,782,425,743,
568,257,793,185,463,974,742,343,387,985,431,320,862,642,793,447,677,299,468,
898,065,361,793,274,326,913,332,769,032,779,564,673,747,572,481,561,515,671,
624,393,042,227,956,759,801,180,922,235,956,720,328,355,600,399,798,207,191,
429,659,912,152,737,579,950,380,563,758,532,236,721,509,938,094,245,650,957,
910,643,975,095,406,891,910,747,153,971,066,742,324,966,271,396,163,456,140,
239,614,356,772,350,187,714,220,033,685,822,292,412,975,295,527,414,462,246,
688,890,417,850,551,188,923,187,209,577,843,426,594,164,729,361,725,629,006,
887,737,555,538,231,981,649,350,247,479,022,988,014,492,696,824,526,523,488,
069,200,771,180,938,721,347,248,395,963,081,427,962,156,402,944,846,525,644,
018,304,737,725,710,516,355,458,136,006,183,671,286,108,773,601,666,817,321,
273,720,036,184,717,032,991,494,567,050,736,895,209,666,978,288,859,843,787,
210,105,125,082,601,706,820,480,369,723,362,264,209,647,179,442,498,040,336,
711,504,301,260,053,103,109,002,743,364,208,528,176,585,460,272,809,613,638,
030,026,981,863,732,687,124,702,582,091,107,409,683,371,000,938,859,327,156,
816,912,460,463,364,586,551,480,341,654,258,150,014,673,889,260,718,910,822,
465,594,058,582,474,612,320,435,352,669,456,670,918,107,922,449,037,760,502,
101,788,848,979,054,413,235,260,107,774,326,349,281,547,696,312,403,348,267,
371,945,968,893,918,916,694,512,968,365,798,762,680,730,664,062,416,543,019,
289,725,595,423,385,843,369,535,018,250,790,859,300,685,190,845,045,189,690,
718,505,627,785,806,389,169,151,336,058,433,104,133,319,719,116,748,690,918,
106,634,353,531,635,391,430,567,410,868,333,313,370,997,255,005,014,680,146,
242,803,377,032,151,085,269,675,059,930,986,853,494,467,811,793,554,652,916,
650,046,514,524,539,263,176,688,534,708,043,603,323,793,572,728,209,404,116,
666,587,561,504,565,301,325,248,570,400,923,185,886,616,647,015,579,745,037,
304,689,184,440,069,277,839,428,010,315,263,459,419,624,169,210,215,633,278,
445,916,033,108,865,728,270,399,329,929,063,214,547,732,454,573,831,351,966,
909,029,405,697,544,131,398,119,410,471,958,483,945,833,813,022,656,392,063,
859,267,172,464,134,078,632,614,227,546,622,274,057,809,419,915,345,552,129,
796,659,170,359,241,973,509,637,495,394,420,802,207,130,021,450,287,338,296,
167,878,001,905,019,012,788,859,954,466,426,623,651,545,684,599,822,644,827,
774,677,635,316,873,840,839,701,811,569,466,435,680,773,772,268,246,157,176,
749,397,653,227,044,826,076,738,157,829,202,194,806,823,713,657,160,639,292,
647,725,481,334,117,222,234,588,798,214,093,343,152,876,392,938,672,668,910,
876,789,292,092,685,175,456,138,826,832,713,021,984,931,189,540,792,055,822,
342,713,309,294,711,984,538,686,385,436,283,418,891,603,182,016,669,127,373,
502,343,679,335,921,048,056,929,802,310,072,163,789,547,843,656,364,829,572,
230,665,303,433,937,504,534,465,627,527,872,358,774,143,449,814,379,382,384,
954,962,311,619,349,354,596,214,505,175,337,787,296,570,302,059,076,219,251,
970,623,338,893,210,797,053,123,782,486,925,658,993,935,485,306,569,814,732,
685,505,683,704,838,655,975,980,331,650,973,240,080,493,938,889,803,346,700,
923,503,188,298,048,946,004,582,466,137,033,679,590,589,251,027,559,060,905,
508,238,704,608,069,078,871,047,246,374,497,737,820,044,794,439,311,700,519,
916,091,875,904,202,287,967,674,773,844,428,159,441,754,495,944,550,630,019,
645,913,629,443,365,775,836,809,693,979,784,419,968,433,878,709,242,299,095,
730,174,545,313,366,656,351,025,421,847,417,245,246,914,111,194,721,610,056,
919,781,418,192,464,464,390,449,934,247,327,634,764,112,605,886,307,492,189,
136,485,263,923,187,146,671,813,788,319,425,568,302,289,731,438,683,599,717,
669,639,547,518,166,307,640,783,552,333,332,732,867,358,905,638,846,329,914,
758,326,849,838,254,630,635,529,572,642,482,330,179,798,719,326,849,454,652,
125,849,163,626,785,718,410,041,534,407,448,683,493,863,404,301,013,333,302,
477,923,706,539,305,864,957,953,108,251,834,671,632,359,712,428,896,939,392,
189,853,795,875,646,771,772,726,484,862,396,318,203,724,457,791,164,571,537,
151,543,758,805,349,699,469,583,171,551,055,421,445,360,046,092,457,676,775,
325,422,390,344,904,298,215,984,210,515,979,617,763,101,537,172,205,976,972,
896,410,092,668,739,858,498,300,402,793,614,222,691,689,071,884,873,219,328,
007,978,019,806,901,614,379,346,569,662,518,998,907,588,474,152,613,501,095,
367,135,147,347,592,351,348,758,626,404,384,985,005,782,541,081,840,095,320,
200,769,759,942,141,755,672,177,252,007,404,595,520,377,471,093,540,439,971,
689,531,023,744,073,391,730,823,665,060,831,884,706,766,526,690,723,899,497,
257,066,609,173,955,067,036,999,494,622,637,181,333,815,796,735,101,474,119,
935,385,103,055,823,127,135,759,187,690,401,304,062,672,492,125,714,233,614,
667,368,234,637,475,125,891,549,568,505,467,888,380,053,377,093,787,080,059,
415,513,948,847,292,530,940,326,194,777,207,688,668,733,853,349,341,143,213,
202,778,278,158,585,584,394,009,800,708,877,843,882,024,994,775,573,802,371,
026,602,077,715,653,939,962,625,271,472,731,756,924,656,628,121,731,272,433,
478,701,049,223,109,485,394,803,752,737,532,943,575,266,781,904,400,477,539,
323,524,030,016,821,378,906,632,353,090,065,929,194,628,240,463,394,850,298,
647,808,121,472,776,477,719,911,924,965,499,274,856,309,560,873,490,640,094,
927,390,767,717,952,692,760,426,080,969,053,331,802,625,990,949,836,685,115,
198,473,524,282,237,333,683,892,214,346,789,612,529,403,616,626,452,433,173,
857,342,240,544,223,855,991,947,845,240,242,416,506,944,617,205,793,172,779,
083,053,161,762,816,948,445,229,715,401,581,946,794,425,675,830,424,604,870,
695,990,050,286,317,011,189,201,259,473,109,777,574,594,959,066,864,366,873,
005,754,143,136,166,028,154,291,135,748,602,383,962,507,120,668,539,780,155,
430,745,275,346,924,048,074,625,114,416,920,149,734,623,378,719,687,901,277,
195,475,867,026,058,856,740,617,526,336,081,771,177,753,180,355,591,787,615,
014,859,155,900,397,948,975,980,458,936,860,300,493,534,940,158,241,817,911,
722,577,187,097,454,067,766,639,041,135,954,855,546,354,723,237,777,358,334,
280,328,387,133,783,668,871,763,130,850,013,953,906,447,575,230,689,779,294,
140,315,832,101,664,867,530,195,565,814,089,723,790,374,505,401,292,652,382,
166,889,424,410,056,282,735,956,846,593,731,312,615,890,969,257,275,202,026,
666,303,114,312,047,318,588,062,849,784,903,011,046,934,430,669,183,720,797,
180,266,128,018,262,318,734,609,540,984,503,610,917,064,131,471,582,189,252,
992,655,983,989,420,330,650,441,465,400,206,554,402,950,243,678,727,220,472,
613,778,137,845,647,927,011,556,855,739,089,003,980,115,914,007,531,647,478,
958,966,361,681,377,658,981,903,078,333,955,329,587,914,057,413,279,524,440,
219,811,472,145,657,243,375,361,827,712,887,311,427,247,224,892,116,185,829,
619,614,145,856,065,931,588,556,774,773,614,143,503,129,518,481,191,351,619,
823,400,469,324,454,647,345,852,195,012,536,362,897,722,953,085,765,545,497,
507,153,004,069,322,553,225,991,396,588,550,620,856,192,339,924,938,622,289,
876,226,492,328,104,238,217,888,267,188,871,736,955,558,157,634,385,546,223,
844,126,605,238,576,257,102,937,421,690,820,735,460,470,210,341,947,392,579,
659,782,074,532,463,605,254,397,939,645,967,547,067,907,746,143,510,284,178,
148,317,858,170,856,187,750,339,959,933,231,987,981,087,244,966,330,439,115,
414,667,350,815,303,760,223,261,449,078,231,351,862,020,055,215,486,642,519,
654,965,489,069,137,182,881,152,799,484,411,774,743,020,197,444,269,274,294,
491,511,479,279,724,788,102,964,057,312,186,924,412,115,664,077,972,124,642,
045,041,627,441,154,371,179,857,524,533,341,385,423,068,473,237,180,158,496,
303,626,113,629,063,573,076,600,133,351,262,676,007,497,982,745,199,826,060,
018,305,173,810,632,808,703,228,450,635,296,919,284,262,228,299,897,458,477,
923,000,356,928,684,068,003,202,960,150,654,401,076,794,155,077,021,538,662,
255,092,497,139,494,796,850,632,013,939,483,541,140,208,266,568,926,228,376,
904,698,723,505,915,414,170,176,742,123,030,268,251,036,264,986,323,814,133,
441,095,034,693,300,636,232,435,283,639,706,163,499,680,983,629,881,901,785,
739,460,187,242,883,557,430,866,661,015,482,045,102,985,747,994,350,231,958,
478,260,985,513,781,621,355,340,303,620,608,232,426,176,023,477,361,182,799,
593,075,992,019,456,047,140,838,549,263,004,164,516,102,335,618,095,064,257,
354,566,301,697,616,294,882,342,127,598,606,375,793,134,720,200,582,976,006,
562,704,557,029,726,436,283,844,694,787,908,202,380,308,343,739,243,414,843,
041,471,232,072,642,569,027,582,998,563,283,381,111,626,406,701,797,415,729,
939,461,851,892,899,736,918,467,706,303,956,991,558,828,261,089,199,934,096,
035,657,795,553,775,292,492,356,162,995,514,966,807,661,314,420,224,175,113,
237,068,481,699,840,976,043,227,246,895,812,235,237,248,570,517,985,690,988,
907,606,507,527,289,863,600,437,595,764,639,370,940,914,107,837,657,600,440,
148,439,198,590,934,735,626,366,578,445,476,261,242,150,709,057,020,045,165,
930,862,122,160,439,673,189,903,184,039,725,383,981,033,863,669,885,805,275,
328,285,600,720,501,365,356,310,258,497,284,850,458,761,070,700,399,272,493,
825,844,599,289,190,528,367,410,613,508,967,613,645,305,173,904,826,554,570,
162,912,337,084,141,347,574,099,314,850,406,808,696,431,462,568,845,141,581,
683,141,081,204,410,587,010,944,125,396,522,534,994,231,951,754,455,556,462,
380,727,389,728,593,055,305,500,320,333,982,622,224,879,732,065,485,691,387,
408,688,596,406,443,357,790,009,174,854,727,458,847,226,641,132,027,433,504,
565,280,818,296,636,593,503,592,645,209,882,319,572,769,367,719,122,399,873,
922,971,541,061,510,118,260,520,179,960,413,865,354,062,406,246,701,646,936,
115,180,942,470,154,891,465,394,553,811,975,337,698,891,049,738,013,663,259,
272,780,365,071,379,677,967,817,348,661,635,749,829,385,436,859,875,401,094,
412,906,949,216,152,069,311,398,812,065,366,408,667,878,418,230,853,519,272,
631,028,174,469,139,283,027,656,827,574,978,016,907,078,086,246,265,952,245,
496,631,260,459,311,029,364,191,964,013,118,396,560,733,715,632,726,759,521,
473,970,102,913,176,208,494,655,386,822,735,371,351,850,324,671,285,398,822,
037,379,722,918,913,688,080,461,002,105,225,089,724,646,361,804,299,309,689,
686,949,953,180,741,061,429,662,177,871,703,520,887,104,633,424,476,847,215,
843,842,939,136,857,023,471,692,259,247,276,536,264,244,002,561,750,219,036,
718,737,475,463,523,184,932,948,330,240,380,636,270,335,283,880,967,236,200,
421,341,259,522,962,090,773,161,882,387,070,153,873,649,966,853,894,194,279,
196,028,104,211,984,832,539,479,320,644,128,767,401,009,204,747,915,300,554,
863,186,473,929,540,199,058,957,847,414,032,955,600,805,512,301,688,857,775,
562,505,303,501,315,603,434,730,385,172,621,926,952,626,761,813,292,704,967,
824,977,298,005,933,740,343,640,263,262,077,079,491,759,486,036,163,672,155,
494,307,788,888,568,810,997,473,059,955,667,987,791,070,314,148,098,722,998,
036,739,992,680,589,963,144,876,712,556,940,590,229,435,299,283,195,798,620,
090,828,954,754,118,289,741,296,108,553,203,860,150,813,876,831,676,267,467,
817,279,186,021,592,054,641,728,522,981,371,838,082,183,817,346,928,693,304,
342,501,527,024,021,396,336,484,520,846,990,932,198,623,380,845,082,418,673,
447,129,422,016,917,260,535,731,465,018,465,445,425,863,808,693,281,543,010,
521,432,492,453,863,167,681,882,317,800,838,182,557,703,173,898,492,820,151,
563,518,124,417,969,077,206,133,755,345,911,637,964,013,259,591,330,763,553,
325,040,287,745,599,195,219,984,897,739,235,301,962,246,561,200,653,262,655,
227,163,429,036,940,144,832,119,674,812,073,610,407,419,526,744,599,456,694,
430,553,943,154,834,321,544,975,781,533,244,067,626,504,916,071,629,830,183,
080,513,608,359,368,308,542,558,015,349,906,114,401,399,682,802,409,555,403,
773,416,646,841,308,986,659,213,746,858,608,830,299,954,305,001,896,709,040,
001,545,038,466,821,715,392,030,667,397,908,663,085,202,159,637,361,242,029,
999,809,191,976,020,190,012,603,104,336,690,006,603,519,926,191,608,397,474,
559,426,513,845,905,171,072,479,231,048,318,074,246,941,459,535,124,695,836,
024,170,749,650,319,284,125,856,906,888,007,384,402,375,478,566,774,116,317,
589,290,679,922,731,332,893,544,560,847,200,649,919,830,752,785,024,252,481,
282,377,373,656,429,634,328,463,518,101,696,454,075,168,312,075,946,500,864,
894,196,179,693,775,588,473,847,647,057,589,078,613,167,330,998,026,017,047,
938,412,997,456,586,511,974,604,832,891,906,444,700,663,835,009,958,078,095,
206,363,106,599,310,712,395,621,474,316,470,452,474,783,910,457,762,233,107,
218,788,975,296,055,732,317,473,894,378,262,860,481,742,689,582,968,795,360,
137,719,870,590,993,234,476,989,817,469,794,261,759,444,240,602,195,151,950,
975,701,171,838,578,268,519,759,409,652,043,138,560,079,546,042,781,974,161,
535,143,833,744,691,854,644,587,000,986,356,319,245,509,789,861,135,552,358,
392,750,120,272,813,011,421,198,867,869,940,769,865,646,848,950,756,567,729,
356,895,445,935,081,395,417,253,335,424,127,507,224,623,248,231,836,164,752,
006,203,162,524,591,815,750,918,282,313,157,648,002,153,234,191,683,400,384,
241,832,297,718,524,729,886,551,409,905,573,622,744,856,206,185,500,047,215,
866,038,557,335,270,662,729,084,851,429,985,046,432,614,720,979,438,513,782,
612,925,161,643,646,716,181,134,068,720,421,706,548,074,281,472,598,252,735,
317,170,663,691,442,580,384,533,138,272,516,992,024,789,780,235,617,511,364,
647,127,237,152,516,181,499,051,991,114,831,466,409,190,460,834,859,455,666,
465,574,342,553,223,124,135,242,611,728,317,496,409,228,997,688,491,912,184,
570,518,521,255,058,438,183,698,245,117,850,588,993,894,135,185,615,965,520,
935,266,168,531,812,629,040,765,577,127,966,315,195,261,164,453,207,196,655,
751,906,319,430,267,055,890,285,925,582,263,980,701,968,859,479,333,865,326,
151,289,384,033,032,360,187,554,595,385,148,212,099,942,366,365,639,043,534,
909,410,588,573,331,496,253,439,102,482,473,459,157,674,546,908,716,820,561,
516,531,814,462,155,807,110,139,125,416,651,096,330,449,667,423,651,146,390,
567,820,036,559,970,474,153,555,382,668,340,085,184,889,811,290,499,558,844,
248,299,664,792,730,870,694,521,162,610,892,271,873,545,302,586,531,834,624,
661,029,053,347,443,967,183,490,614,815,218,006,093,706,822,017,728,703,950,
677,862,473,022,383,164,433,766,336,964,702,053,290,085,256,875,983,039,738,
147,978,876,040,370,643,447,513,409,315,864,087,738,936,698,748,706,678,178,
127,224,745,837,208,866,575,926,734,837,398,540,050,983,404,673,552,896,464,
204,188,049,895,909,750,529,342,291,958,259,892,467,394,738,705,352,721,376,
439,238,982,244,676,065,511,386,620,293,850,916,434,708,306,747,434,417,106,
935,848,041,396,591,568,640,468,731,256,875,629,899,924,273,908,950,790,125,
908,519,771,097,805,319,929,021,416,903,071,649,607,783,387,610,873,384,934,
160,415,669,923,226,048,732,431,059,929,643,207,275,639,988,279,678,165,089,
172,265,048,773,234,785,492,840,786,782,491,609,315,204,217,714,711,138,750,
510,216,285,748,454,780,849,647,911,202,265,759,008,581,363,257,494,444,437,
944,618,965,403,888,085,359,785,432,164,186,534,557,024,724,236,176,175,824,
898,703,452,332,400,712,487,086,955,404,253,667,025,706,723,564,988,267,789,
717,509,572,088,369,499,785,627,469,527,172,096,862,273,920,407,091,141,691,
926,171,574,605,373,397,987,035,460,152,792,495,909,169,072,566,108,899,261,
971,768,542,310,982,098,812,949,066,181,974,484,271,369,388,033,402,997,723,
506,644,911,882,682,812,379,274,585,714,299,988,458,518,566,040,140,699,300,
477,343,334,675,653,592,375,462,075,893,121,325,357,660,496,787,295,628,208,
709,226,268,235,877,642,359,683,205,269,442,500,868,047,954,466,249,805,729,
122,097,437,789,206,224,420,244,536,345,366,886,183,473,041,139,067,896,244,
142,044,857,717,324,336,192,529,706,998,220,098,799,278,415,569,441,933,045,
851,564,301,117,840,382,988,008,397,981,343,998,597,676,093,396,313,446,830,
295,842,849,764,488,671,649,555,072,132,352,096,783,008,534,776,215,527,340,
484,924,406,603,774,733,266,597,131,769,735,882,744,283,345,191,594,940,863,
491,057,815,866,409,111,574,485,778,672,360,696,957,883,783,236,695,444,033,
899,208,678,106,351,914,329,654,448,079,781,171,844,783,643,081,816,271,700,
303,427,498,739,597,771,175,605,514,250,365,687,152,352,079,263,202,224,960,
276,855,038,748,874,237,767,784,106,950,584,941,385,113,173,037,442,058,397,
985,449,705,779,986,300,080,108,002,537,239,008,415,946,949,144,419,155,711,
382,374,745,288,250,366,501,061,851,045,862,246,531,483,697,336,245,907,842,
771,115,882,392,485,591,583,761,758,654,800,110,844,209,738,951,658,692,762,
541,402,278,363,303,722,982,792,293,605,284,527,129,157,339,524,799,820,505,
603,924,084,376,164,577,103,786,125,103,204,082,509,895,115,878,148,229,724,
716,572,214,638,762,783,617,487,738,022,649,382,334,381,912,355,397,864,001,
352,902,714,465,862,402,847,788,057,608,845,868,544,780,887,764,529,291,855,
747,005,355,367,650,021,901,885,606,370,016,523,107,776,785,525,708,611,984,
519,802,386,744,972,392,133,396,631,320,900,494,903,209,665,885,178,007,804,
643,259,244,614,646,745,292,350,748,574,966,556,435,850,873,900,087,226,561,
226,424,720,798,023,288,059,454,223,846,141,580,392,321,568,929,506,632,811,
926,137,133,295,399,650,038,255,861,571,513,025,317,921,769,056,667,926,942,
696,937,372,095,499,873,304,409,035,580,145,945,893,202,347,804,598,055,172,
723,246,329,735,744,263,147,347,760,878,325,541,786,260,157,714,922,809,905,
394,137,560,463,962,035,286,880,924,479,006,338,734,102,823,219,572,346,258,
311,317,066,810,378,848,139,491,573,560,568,950,003,730,491,836,163,241,655,
545,280,157,574,281,689,502,842,169,161,735,249,745,752,972,843,769,170,645,
672,712,028,884,735,600,660,796,318,380,218,936,302,203,812,357,458,103,593,
796,645,382,845,451,721,772,822,540,646,564,410,831,977,035,013,702,418,452,
218,126,396,593,291,573,433,884,029,511,187,758,358,724,350,183,517,491,512,
782,640,947,782,454,374,856,902,659,764,273,366,488,142,945,894,634,340,621,
619,619,398,598,583,066,724,707,587,438,603,592,009,516,400,862,858,449,271,
479,525,663,524,919,201,791,116,247,840,884,384,396,789,623,271,243,004,031,
241,926,234,226,646,330,323,193,598,693,641,835,655,799,632,110,404,006,832,
190,879,330,813,695,141,929,311,155,105,103,795,623,364,332,840,502,953,442,
615,675,347,109,504,652,984,831,972,606,580,087,931,438,593,934,321,092,243,
878,914,656,767,471,404,707,772,930,406,021,136,842,625,979,532,988,627,436,
178,469,377,599,949,302,628,539,893,747,227,640,759,270,219,943,154,850,156,
492,216,303,950,289,565,242,854,589,788,386,116,602,626,760,505,407,062,444,
570,146,363,691,273,049,333,151,853,096,944,405,612,458,853,985,096,619,420,
243,098,110,518,210,838,407,581,785,806,974,456,695,244,748,367,450,040,478,
362,760,570,159,317,249,911,354,459,330,994,025,379,328,486,316,570,337,965,
602,170,474,310,086,591,587,685,189,772,825,730,130,827,922,901,746,557,458,
664,625,115,374,490,123,581,132,060,631,004,943,036,482,464,853,222,027,200,
299,440,449,119,002,748,541,275,159,189,531,080,098,895,668,060,988,760,833,
511,809,856,646,761,887,634,230,267,125,675,066,098,906,754,818,072,655,874,
325,668,029,286,737,301,877,226,521,406,285,302,969,679,825,836,564,470,466,
236,201,455,776,779,519,801,270,975,753,440,240,743,929,359,969,177,022,498,
831,966,591,557,926,931,051,903,450,673,863,542,901,561,541,510,565,046,136,
454,359,663,030,407,341,764,164,403,086,986,099,754,914,322,987,230,867,478,
303,443,412,969,885,202,633,729,278,790,587,569,727,618,954,876,549,661,404,
845,241,485,805,460,711,470,992,541,223,646,642,743,526,247,356,061,497,941,
982,718,601,519,079,252,998,326,955,248,918,685,145,548,093,117,616,575,996,
743,553,249,624,731,482,781,563,069,908,340,953,437,747,895,589,210,856,990,
734,264,777,139,994,522,727,059,566,457,830,165,458,914,734,732,849,505,729,
333,868,654,210,917,857,740,140,983,469,224,563,503,097,228,288,686,230,926,
190,354,161,178,638,798,304,422,936,930,011,729,825,212,406,980,882,154,499,
500,901,135,085,138,217,720,071,919,924,334,701,827,374,547,744,015,922,432,
877,957,276,658,542,091,430,442,791,075,776,070,357,796,430,290,967,368,404,
921,653,680,649,660,213,666,929,072,569,709,882,924,175,002,926,984,344,064,
956,107,030,005,449,773,360,078,651,006,500,955,820,141,342,408,371,138,970,
700,876,593,440,407,399,157,993,720,361,298,252,289,720,902,971,821,936,550,
813,556,467,761,852,769,334,103,846,055,945,557,402,119,468,347,586,279,787,
178,398,999,365,571,786,331,629,447,107,183,789,419,983,423,588,326,870,924,
987,956,614,838,996,226,038,545,242,285,124,771,662,007,403,564,860,265,486,
883,968,097,443,953,071,267,129,761,190,855,460,760,843,133,577,638,409,068,
855,157,819,461,684,268,877,044,187,929,233,314,267,090,136,812,390,916,360,
430,933,117,546,837,831,132,491,678,703,754,685,998,715,831,633,742,783,878,
128,841,798,432,770,529,752,847,544,687,918,439,510,158,281,090,649,570,165,
638,252,153,100,124,963,404,907,120,998,382,115,050,701,336,781,324,083,996,
114,174,302,779,545,363,728,987,196,134,054,785,171,971,623,839,230,802,619,
064,957,682,334,498,323,027,325,753,958,025,992,617,483,720,369,334,823,799,
873,808,299,721,181,082,039,279,260,173,195,146,836,324,154,515,020,252,241,
317,933,147,671,037,085,241,276,569,624,131,916,631,761,642,973,524,836,290,
641,814,695,144,007,930,978,813,608,574,234,619,731,018,223,834,755,592,122,
226,635,270,622,107,419,436,640,541,117,451,221,432,964,482,455,344,535,830,
531,766,398,255,924,603,488,733,836,482,971,169,804,317,731,090,122,916,412,
644,702,132,865,074,383,874,435,742,807,339,807,304,612,503,135,363,411,654,
664,153,351,067,413,730,866,393,879,853,519,688,578,072,841,771,890,503,321,
706,059,537,425,827,189,249,143,004,511,277,906,608,292,283,215,413,413,435,
683,803,896,423,378,544,814,103,322,766,265,211,437,865,239,064,159,300,345,
704,785,540,910,442,357,925,454,663,947,951,312,902,101,489,810,188,663,702,
071,866,494,757,070,917,158,798,566,598,187,828,046,384,547,294,197,757,637,
029,578,702,766,502,659,272,830,924,880,576,814,352,707,587,641,984,941,560,
795,967,604,123,270,118,163,262,397,039,051,838,728,339,881,335,019,844,251,
386,945,508,664,216,268,285,115,767,761,313,458,629,629,726,401,282,515,577,
565,960,132,540,029,070,925,510,215,173,157,887,606,886,584,816,895,258,271,
929,036,345,215,077,745,285,539,073,253,989,075,380,559,442,051,630,134,775,
512,110,829,640,044,904,690,766,014,980,372,317,127,869,749,491,697,948,772,
274,126,182,930,385,786,774,393,266,337,434,488,961,022,297,922,506,201,772,
826,759,051,233,706,931,207,944,351,592,946,982,895,249,020,606,540,838,377,
423,827,008,727,142,818,098,034,696,416,278,227,159,567,809,429,018,471,390,
818,271,898,643,682,447,561,884,422,561,668,907,341,698,614,985,606,067,902,
354,872,105,518,188,339,333,170,741,393,081,546,172,215,255,893,661,924,071,
324,302,174,960,890,086,415,179,536,069,899,510,714,000,590,307,203,865,072,
835,906,859,359,552,967,982,334,604,217,012,484,446,499,724,076,079,026,779,
742,502,718,923,035,162,721,591,391,846,457,165,358,967,936,151,940,215,828,
761,161,605,205,211,868,759,112,487,868,355,046,398,951,867,223,066,233,320,
102,380,082,438,900,128,891,747,394,963,615,661,308,487,870,850,639,075,514,
868,479,527,807,200,029,087,904,669,903,239,645,514,242,305,442,627,065,859,
570,695,977,624,662,592,352,298,151,693,626,567,807,480,752,830,773,391,167,
179,275,179,233,343,245,521,080,446,012,996,635,184,461,907,490,654,444,267,
621,430,254,589,057,988,931,966,779,417,305,036,630,659,751,661,518,284,327,
591,837,085,383,268,183,200,922,697,180,693,517,063,871,097,708,467,815,199,
385,729,681,941,893,105,065,497,572,507,444,131,944,899,553,433,156,240,876,
977,869,629,142,200,985,701,409,714,051,356,071,572,767,469,943,943,291,836,
506,120,906,110,475,920,655,892,651,245,298,232,549,695,063,898,652,235,366,
025,904,492,758,089,661,257,072,230,079,294,467,835,164,855,571,648,477,692,
977,941,431,950,089,448,994,417,581,967,037,955,599,484,376,181,016,754,910,
078,727,542,691,557,529,970,924,132,022,391,513,626,418,976,532,875,207,414,
844,573,257,800,608,288,146,163,496,301,359,550,086,555,211,741,148,032,947,
450,994,005,642,016,423,833,349,809,860,193,401,416,014,256,618,999,738,542,
150,394,258,208,773,796,966,844,133,159,328,687,497,180,583,399,089,634,419,
942,525,759,550,199,337,075,801,692,714,279,680,068,224,499,417,545,404,084,
476,035,457,458,520,066,167,443,959,683,100,013,060,186,811,932,087,658,190,
974,022,338,662,203,147,101,876,360,781,093,450,748,129,940,981,883,828,155,
133,053,145,245,158,308,748,714,601,419,795,315,274,406,716,402,092,786,063,
604,884,231,108,584,235,131,518,474,435,605,547,366,471,913,101,909,987,061,
972,542,032,914,712,026,007,281,541,880,597,269,264,677,866,476,351,480,659,
312,726,131,684,377,852,323,320,170,999,373,539,191,004,149,682,269,317,716,
423,319,164,522,907,120,310,397,539,579,308,278,162,228,219,413,177,518,741,
183,512,464,242,611,795,283,729,532,340,461,100,273,517,540,149,754,185,526,
697,872,872,132,427,304,051,536,389,372,654,105,158,250,879,519,719,702,456,
403,329,813,152,102,986,784,124,279,215,532,007,010,161,535,513,827,140,038,
864,644,624,700,102,914,029,421,519,277,165,614,122,079,325,898,755,134,367,
988,552,847,600,188,443,021,060,560,922,847,365,631,703,036,281,727,292,700,
954,495,815,030,549,807,005,107,802,526,156,201,350,256,992,665,727,755,063,
708,251,862,649,879,125,837,140,314,959,714,207,082,400,333,585,567,110,380,
925,376,647,494,985,696,733,542,981,443,386,737,969,678,053,057,188,107,778,
165,597,187,147,266,190,284,644,279,756,507,151,532,380,251,751,783,944,716,
597,444,170,391,130,237,812,650,345,398,805,473,352,268,502,885,436,401,410,
345,124,570,585,262,723,610,833,461,394,938,846,252,414,549,156,000,437,235,
555,545,782,505,796,886,189,772,295,582,429,426,187,254,250,972,358,565,518,
008,166,234,993,488,591,733,321,147,725,861,329,614,516,493,708,610,869,278,
598,845,547,694,561,302,060,202,074,456,592,195,590,624,152,667,140,727,188,
750,812,433,261,523,246,857,149,564,344,879,462,019,643,571,437,537,455,638,
088,396,213,246,222,221,529,369,837,916,768,648,649,648,409,690,555,010,222,
791,733,909,338,416,827,882,796,851,100,685,910,914,142,409,739,173,632,203,
788,709,962,973,238,856,484,442,963,040,407,919,128,750,737,113,847,248,868,
868,251,445,010,845,221,288,362,645,651,546,003,281,760,521,410,106,388,339,
755,674,824,593,973,808,009,424,777,258,298,208,095,835,583,068,064,712,086,
733,375,311,910,229,797,438,170,632,218,254,502,925,740,265,590,253,643,090,
523,342,671,944,386,122,915,207,509,373,174,432,535,699,685,694,508,840,429,
434,708,529,827,618,170,307,127,635,127,012,844,715,648,441,597,770,359,168,
120,440,873,325,801,266,487,309,844,791,963,669,398,749,709,193,994,575,341,
208,943,510,787,995,753,484,733,880,030,437,521,053,086,252,279,859,549,604,
213,642,862,434,240,475,725,081,990,842,828,287,514,040,351,967,819,286,051,
135,232,260,088,185,235,242,134,446,701,680,037,399,860,329,702,267,744,661,
793,278,404,548,601,995,769,543,212,132,127,482,240,339,341,507,125,045,073,
441,632,579,183,011,010,589,765,087,074,944,087,325,299,986,800,088,848,554,
910,919,359,220,956,561,052,693,645,375,556,044,352,508,714,571,205,012,971,
435,501,113,597,287,688,218,391,397,199,860,149,146,272,844,319,632,755,885,
146,296,634,591,694,667,673,204,204,062,047,642,703,976,368,834,649,599,465,
998,820,315,811,528,730,636,984,352,156,825,295,946,755,172,111,179,617,375,
502,186,878,541,221,091,095,018,520,206,680,809,706,030,499,921,860,920,990,
921,709,625,752,957,442,110,774,510,339,808,787,453,357,825,710,564,481,091,
263,747,294,918,099,340,941,596,587,520,573,125,543,343,103,536,460,006,032,
424,854,057,272,709,203,028,812,694,406,008,296,132,878,170,618,541,233,092,
357,320,723,673,869,080,331,951,074,661,328,322,517,494,643,156,344,002,778,
474,428,475,780,763,372,197,690,772,547,558,625,261,027,127,378,429,756,960,
286,646,653,436,153,602,984,315,794,679,301,831,989,341,192,338,943,379,455,
414,870,709,696,996,198,092,131,154,218,637,856,062,935,957,091,975,869,414,
589,653,913,049,354,188,851,383,913,297,324,633,721,151,008,559,121,012,632,
225,073,842,350,566,572,602,383,836,192,281,181,580,202,199,737,981,760,058,
928,071,345,158,358,295,300,798,480,893,170,667,507,782,775,398,941,002,124,
409,546,042,502,035,636,398,171,241,322,984,675,505,842,876,537,574,126,708,
947,409,835,884,098,392,422,760,338,962,813,642,377,162,350,747,368,967,578,
372,761,240,293,746,572,649,066,122,863,447,663,651,571,052,837,560,453,476,
830,441,860,891,369,509,878,029,931,725,706,381,268,581,917,894,789,579,252,
950,006,768,795,103,963,391,837,232,357,588,579,736,045,679,543,020,447,803,
533,924,665,472,035,700,029,183,792,175,283,219,658,425,189,770,889,867,399,
176,849,349,413,974,230,441,572,004,780,290,964,142,465,701,500,023,070,547,
171,291,162,004,587,556,672,771,905,712,486,256,911,205,729,844,486,089,228,
699,514,420,341,600,677,320,399,642,420,851,783,988,232,018,273,829,161,358,
612,917,404,667,756,800,997,201,856,391,685,191,249,020,972,510,119,544,468,
068,868,812,826,289,584,864,702,584,387,621,674,413,472,100,479,331,400,052,
338,715,255,017,415,068,467,266,602,603,119,767,831,782,682,873,481,267,211,
655,834,913,313,854,777,467,883,446,950,883,594,156,417,263,451,692,160,043,
950,665,225,014,035,195,086,567,943,382,024,051,793,419,679,549,663,963,528,
074,833,253,112,254,070,328,312,563,030,022,696,391,983,573,741,218,501,706,
394,119,836,553,472,773,735,478,782,602,685,534,250,026,979,690,001,450,286,
012,197,898,083,877,799,659,948,240,899,734,580,348,873,307,247,508,939,527,
480,014,847,178,134,743,624,558,719,366,244,115,388,545,068,116,598,894,844,
890,523,302,333,229,766,711,076,969,832,151,292,033,128,556,620,198,732,700,
960,135,855,047,997,230,002,860,145,601,419,986,580,233,239,358,803,685,419,
338,833,654,767,324,726,098,331,031,435,559,548,918,992,396,444,113,833,939,
965,840,519,342,630,985,632,431,261,971,004,117,020,076,422,022,609,726,633,
936,889,456,755,816,582,014,087,676,285,002,891,660,760,645,552,871,866,582,
710,284,306,907,041,049,868,647,703,293,821,394,459,440,054,067,945,624,376,
465,908,755,722,769,776,445,034,483,908,069,254,562,787,711,545,008,479,951,
548,256,789,777,600,386,469,773,409,158,619,265,777,851,093,016,183,853,193,
002,203,329,178,347,938,978,718,239,076,508,298,016,718,837,926,097,618,243,
602,482,837,945,410,557,336,662,190,621,845,972,124,183,662,694,254,132,806,
622,036,607,483,935,408,594,494,619,446,918,095,910,339,956,735,851,586,030,
907,388,201,949,503,012,929,984,554,921,641,842,630,940,716,029,321,633,319,
396,276,281,996,863,239,420,392,131,351,838,345,277,862,963,504,020,155,897,
329,375,801,939,487,865,312,182,547,960,950,712,465,040,496,159,596,135,165,
005,796,611,498,434,670,162,661,196,086,616,145,375,342,990,787,285,718,665,
549,638,928,297,023,384,934,752,339,227,340,963,751,734,153,811,433,882,581,
416,831,390,841,583,115,809,616,264,920,532,901,116,315,701,513,071,742,504,
533,575,212,191,953,148,274,112,887,603,828,548,411,880,717,853,203,744,871,
061,505,518,340,797,088,280,673,754,904,589,788,334,493,063,307,409,433,176,
721,923,994,019,377,383,471,452,963,591,494,004,141,822,199,466,891,837,271,
785,248,974,075,245,272,048,373,720,077,816,438,038,280,939,862,479,064,537,
308,000,501,367,275,304,167,249,828,097,516,192,915,429,210,179,923,584,208,
711,230,167,155,281,234,991,765,514,023,553,149,931,815,342,086,937,884,640,
555,807,899,068,999,559,817,648,673,662,649,201,086,665,928,727,865,449,343,
030,100,562,430,278,929,161,497,883,922,072,039,535,310,884,399,185,176,715,
953,401,927,170,218,840,719,271,613,711,650,149,711,231,875,329,778,191,989,
149,867,057,670,362,835,767,380,104,750,721,031,417,573,688,937,157,775,910,
195,650,549,281,545,148,042,399,831,126,379,101,577,611,273,787,308,564,616,
752,220,590,809,440,560,558,863,065,567,039,338,542,444,861,477,836,375,764,
977,107,532,927,434,418,047,307,676,117,107,782,178,366,529,304,852,643,155,
047,546,280,485,452,192,312,997,451,298,808,451,498,607,532,813,784,211,754,
992,336,897,735,448,275,957,998,951,218,796,104,977,684,237,993,972,941,754,
637,475,217,475,238,948,186,560,281,618,114,036,684,892,714,562,587,283,744,
903,474,447,933,194,130,901,482,611,257,113,726,239,263,672,291,294,415,012,
707,490,451,895,812,589,198,535,203,128,313,563,737,310,507,719,116,211,014,
719,604,573,768,281,572,083,717,010,057,389,393,766,842,593,253,832,322,822,
670,086,439,707,234,321,857,415,552,570,931,297,285,225,180,559,249,669,595,
064,863,646,650,920,102,252,198,534,230,231,199,838,338,699,149,555,453,960,
909,163,486,945,943,473,767,506,459,547,136,979,803,180,709,981,043,334,945,
453,548,058,242,226,014,033,710,860,151,803,509,032,026,217,216,610,531,921,
091,809,543,555,296,113,595,933,809,082,585,237,530,517,305,198,431,665,444,
385,474,285,530,443,107,723,093,816,533,031,375,910,065,798,604,832,851,583,
241,073,286,247,948,384,826,461,917,603,579,058,434,346,012,990,050,361,364,
859,327,149,114,606,878,492,279,713,754,022,118,928,217,806,195,180,810,357,
233,616,390,453,204,099,409,589,756,886,359,875,023,909,662,440,615,730,688,
002,857,527,728,459,378,971,838,778,137,680,974,645,032,620,007,189,887,896,
752,112,887,209,656,730,055,769,956,943,154,178,768,038,819,473,028,147,849,
197,144,005,471,860,890,243,005,927,647,901,275,788,697,290,157,574,960,138,
504,155,945,080,889,484,026,138,334,651,790,177,622,855,682,800,981,568,930,
287,199,410,412,246,194,975,034,591,944,255,510,379,105,701,503,046,028,112,
114,816,677,402,304,174,050,431,785,253,234,822,479,534,640,206,843,627,651,
897,104,942,458,079,985,596,797,707,857,955,395,878,533,113,323,673,802,415,
277,861,777,814,484,262,827,220,769,782,734,308,613,311,385,036,149,635,119,
577,405,042,611,587,989,157,189,462,227,288,072,049,357,080,517,847,450,587,
641,339,262,679,257,483,969,013,314,256,328,043,020,529,852,267,989,807,681,
181,224,081,515,129,297,575,271,858,195,399,453,880,889,725,942,411,628,675,
252,580,690,200,526,712,294,808,184,743,248,509,289,460,990,096,281,406,106,
750,187,465,370,500,624,906,092,975,638,274,168,568,946,798,618,145,449,623,
392,663,406,860,420,083,973,164,371,350,245,137,683,825,906,929,535,117,736,
763,447,970,380,585,284,317,080,824,552,472,935,930,487,477,626,058,007,641,
694,556,175,569,833,933,833,636,860,794,974,630,033,418,191,980,585,050,670,
596,862,468,274,534,799,853,476,783,786,779,096,597,102,972,110,263,984,528,
493,330,402,126,355,561,484,646,529,337,158,672,095,873,250,287,752,551,819,
114,579,903,009,830,928,361,405,857,696,450,031,748,837,841,867,206,391,341,
809,778,843,607,513,215,802,744,940,206,942,556,290,689,294,568,613,798,508,
740,061,034,924,709,808,551,252,958,400,599,942,729,777,666,209,367,571,770,
416,949,539,490,734,227,467,037,625,198,128,735,582,360,018,983,977,492,813,
413,537,967,286,623,026,531,474,360,153,027,518,593,955,102,013,198,342,489,
990,364,754,387,332,056,596,207,766,956,184,979,349,551,585,865,043,686,655,
662,734,277,210,983,305,498,239,161,393,434,917,499,443,636,292,187,684,286,
911,403,254,013,689,497,480,016,265,264,111,347,784,712,310,681,389,454,071,
346,483,574,402,550,425,271,461,168,385,246,214,839,683,080,679,461,543,288,
522,500,789,983,178,343,469,179,228,272,386,909,593,590,748,245,086,453,010,
765,705,041,973,896,810,566,779,056,794,010,379,954,594,861,167,838,295,097,
014,369,501,517,583,473,310,314,590,249,923,513,663,825,234,519,321,945,817,
549,210,031,683,925,575,954,583,848,184,413,588,426,318,083,572,628,211,640,
564,665,307,509,570,849,170,042,215,901,798,054,622,359,987,531,175,828,772,
794,455,937,596,730,216,626,187,844,825,700,952,647,445,266,803,922,309,976,
933,389,517,017,177,735,093,881,197,523,451,876,231,823,828,903,286,556,869,
042,714,918,891,173,407,210,664,322,449,464,906,171,883,401,620,052,219,871,
594,875,194,990,821,396,305,301,609,726,264,413,854,782,295,719,007,130,214,
812,242,146,159,496,865,107,881,232,356,259,236,169,804,639,843,110,037,398,
768,541,233,033,168,075,484,802,648,170,386,112,614,880,193,789,108,110,249,
933,864,603,873,136,949,018,291,114,808,102,544,119,320,942,152,309,809,578,
707,430,557,217,699,249,427,366,829,382,642,881,768,971,666,965,165,894,870,
291,116,035,926,156,599,695,755,226,775,673,019,838,813,786,311,354,712,091,
887,419,528,784,780,121,609,004,728,853,631,030,946,211,975,726,149,754,128,
662,291,769,737,763,407,821,134,719,383,852,544,374,719,952,957,289,191,048,
243,477,272,431,580,374,658,221,433,990,245,775,098,963,460,949,807,800,038,
347,559,989,016,250,309,160,904,457,251,365,613,371,042,683,514,488,279,663,
280,010,474,250,423,204,435,817,861,113,286,580,490,382,858,025,953,270,438,
669,314,707,690,553,489,390,376,033,595,124,053,388,014,723,401,433,510,359,
631,205,316,316,021,225,999,929,558,992,430,300,747,057,088,313,764,769,540,
137,934,384,337,758,939,002,641,057,651,306,894,060,145,278,393,420,583,261,
527,128,506,556,136,133,698,213,365,944,416,077,915,673,583,808,217,276,482,
173,385,300,462,488,449,194,906,266,457,681,607,180,080,382,806,918,725,508,
785,333,649,671,222,651,733,198,462,736,123,635,211,906,020,358,385,342,298,
592,730,046,930,181,729,217,084,153,845,021,760,918,964,495,756,675,788,443,
419,970,448,987,917,349,026,418,060,286,458,664,451,427,725,264,456,015,375,
261,333,139,857,734,175,093,867,610,240,679,448,096,785,517,879,328,629,820,
042,974,990,042,122,669,932,848,508,502,142,928,302,510,703,604,200,397,585,
125,260,892,848,629,404,549,279,011,016,505,720,446,671,514,608,009,020,985,
312,719,696,170,214,810,940,360,406,797,100,208,102,075,785,385,280,081,654,
077,043,013,803,441,887,914,527,984,483,539,614,572,005,895,058,199,407,221,
956,310,269,071,931,597,663,556,540,963,166,343,674,155,177,644,195,380,795,
116,178,679,647,692,291,963,351,404,679,960,562,864,339,095,980,206,186,040,
070,596,137,874,278,618,556,186,254,079,551,477,542,774,522,340,564,129,684,
649,305,697,329,547,224,968,601,559,657,937,235,737,923,081,218,499,535,983,
602,192,146,413,491,452,486,185,012,551,441,140,969,680,493,174,960,642,557,
012,100,479,927,204,364,585,886,142,372,197,144,987,451,605,614,369,314,715,
399,640,203,606,112,982,013,665,809,500,539,518,072,180,172,841,494,792,134,
838,273,216,871,715,859,085,042,239,496,989,670,885,539,308,412,713,502,371,
032,192,982,682,131,711,795,660,876,153,102,193,128,870,456,388,475,671,343,
890,379,935,497,164,085,399,748,235,704,540,512,555,726,685,054,064,241,616,
138,123,463,950,757,438,793,095,577,080,939,420,061,369,818,712,601,308,352,
504,361,617,312,408,602,843,415,568,913,427,691,463,235,607,689,201,217,277,
915,301,458,672,551,152,680,353,562,168,958,920,715,634,667,003,052,151,279,
565,680,721,225,308,029,026,623,879,027,688,831,441,791,723,652,100,838,972,
618,587,177,741,041,504,398,486,041,765,045,487,306,222,536,682,350,897,809,
595,135,221,466,208,229,605,582,161,094,602,993,827,117,330,977,450,454,001,
621,181,832,190,443,267,705,484,120,921,906,463,574,239,023,413,331,240,590,
311,683,790,972,819,911,484,850,274,968,368,938,739,039,391,975,632,419,490,
243,210,278,241,749,302,381,051,996,382,651,667,828,595,199,472,352,769,896,
778,087,169,526,462,573,736,035,037,418,101,915,360,202,937,144,064,439,466,
180,721,082,593,475,115,895,964,875,602,198,995,107,671,557,065,257,908,521,
692,270,086,422,888,822,233,085,617,157,293,812,165,143,556,779,533,724,460,
661,823,246,681,523,947,706,484,836,767,442,829,045,630,661,524,027,790,076,
644,245,443,452,003,106,901,555,470,316,393,983,026,132,003,367,508,334,892,
578,368,171,936,315,100,773,927,477,372,077,198,882,807,914,118,551,638,820,
426,575,690,846,528,879,058,435,936,574,039,321,062,124,733,066,374,835,350,
968,169,858,549,662,725,719,671,110,068,479,079,429,942,137,951,308,646,381,
924,478,523,283,162,211,922,049,762,273,225,443,150,134,802,429,635,374,896,
940,791,230,885,932,153,330,175,577,089,376,480,125,583,400,439,613,468,763,
525,061,890,483,356,067,151,679,226,431,300,681,216,863,859,305,634,518,837,
658,165,133,991,368,574,235,851,059,762,873,569,766,399,122,692,534,999,721,
991,170,765,753,842,374,548,919,522,567,802,773,023,144,211,083,458,471,391,
733,805,840,027,029,288,011,898,968,994,712,867,238,801,141,906,676,869,952,
818,857,723,740,658,024,607,698,065,536,384,646,402,755,034,681,452,359,792,
511,483,336,541,811,938,388,323,913,837,345,554,216,482,331,294,890,384,910,
130,507,268,875,667,902,198,244,742,818,559,592,951,643,648,219,992,608,379,
030,247,599,678,997,536,922,999,683,782,939,539,206,848,532,167,720,083,907,
206,848,844,894,777,972,899,526,922,810,095,271,166,576,712,984,504,246,308,
979,898,304,887,234,556,064,761,843,530,234,543,937,775,303,936,960,994,159,
203,355,612,538,324,821,149,974,104,519,939,432,806,833,922,601,424,426,098,
637,909,672,005,914,596,366,744,626,472,493,281,447,380,382,071,260,030,710,
894,653,488,196,074,491,570,429,790,953,963,435,207,817,452,474,133,197,629,
283,648,160,209,727,648,771,894,058,158,569,459,139,578,201,873,112,261,552,
078,867,997,126,723,378,958,412,064,634,139,111,612,102,175,626,560,123,301,
578,096,211,178,312,415,926,094,738,653,765,277,702,288,985,277,037,231,231,
334,414,353,947,035,118,202,052,256,198,702,365,531,783,738,102,119,200,973,
462,891,892,341,402,678,350,772,628,177,091,430,701,785,291,875,158,265,938,
746,950,249,453,640,998,959,743,929,503,990,731,537,082,656,792,607,066,510,
747,201,482,565,526,318,529,256,568,681,139,331,832,772,186,087,448,033,037,
443,037,473,495,303,356,269,878,833,075,101,494,087,062,453,481,099,223,473,
623,175,633,575,961,628,975,520,029,760,938,853,174,492,773,550,845,600,479,
280,430,441,091,993,470,634,321,807,636,771,909,680,298,562,946,072,768,234,
062,761,543,195,846,690,233,924,461,891,539,053,409,784,788,778,837,011,511,
517,813,116,915,169,162,865,896,649,994,239,430,416,316,838,723,832,992,621,
389,053,559,317,771,719,543,674,413,741,526,211,343,129,033,230,288,121,055,
009,495,962,941,272,205,722,230,623,205,798,440,847,897,465,365,079,890,949,
901,295,061,873,585,386,962,281,249,717,462,042,178,847,953,445,560,200,016,
168,329,099,150,608,499,958,439,948,001,139,537,713,878,942,828,049,212,079,
356,987,885,394,973,475,807,268,609,075,134,606,852,108,769,104,880,684,221,
198,743,737,569,164,346,902,418,819,162,341,584,457,327,922,344,494,976,836,
785,220,167,321,400,136,448,888,009,066,952,552,167,086,692,691,591,042,416,
907,907,524,487,056,185,603,804,062,715,396,006,637,042,848,135,261,741,871,
932,536,142,691,848,811,554,166,597,686,348,502,373,925,159,047,308,547,924,
573,371,624,689,195,686,226,772,804,524,147,072,417,661,879,690,293,469,975,
062,055,263,655,044,288,552,515,482,923,219,315,173,812,624,246,067,692,856,
731,004,765,008,096,343,307,492,552,592,689,745,770,656,682,637,436,411,029,
378,102,053,687,547,091,748,841,292,467,050,124,543,091,083,361,851,229,950,
856,417,224,316,669,732,593,116,975,452,793,698,801,815,809,122,998,849,946,
645,392,154,759,624,302,328,387,673,739,544,709,656,388,805,497,382,753,055,
294,762,472,683,376,003,468,683,122,642,887,826,508,887,020,578,890,693,309,
615,915,052,723,911,653,945,081,620,954,954,995,470,701,263,956,331,288,584,
567,588,170,577,713,240,778,628,219,399,388,791,949,029,017,889,716,676,780,
996,519,760,565,572,912,334,548,714,684,350,252,080,900,647,820,828,777,103,
811,672,919,530,976,799,241,414,363,595,402,715,536,922,784,230,131,377,883,
456,008,682,985,883,281,075,030,719,233,284,929,592,783,013,873,849,622,077,
285,562,144,545,541,111,768,180,612,071,311,380,802,310,976,184,742,883,806,
599,208,487,738,290,792,595,551,608,128,991,917,599,035,014,522,976,640,871,
565,031,663,794,465,680,114,337,722,604,475,130,200,430,152,345,161,052,030,
125,917,533,495,534,950,519,622,075,183,308,825,303,582,524,386,054,846,180,
735,305,289,007,314,445,341,624,330,143,832,966,950,749,458,275,799,467,792,
922,415,433,803,217,164,030,350,446,320,957,992,896,180,847,539,718,981,408,
633,854,939,511,338,023,477,287,876,177,011,049,787,097,229,646,658,637,199,
551,284,406,802,032,768,996,532,998,483,003,108,321,344,343,005,479,388,926,
142,575,153,229,301,536,095,456,515,073,575,971,582,967,116,107,032,647,593,
999,742,077,547,443,943,117,293,328,482,586,185,536,308,202,282,366,281,843,
098,619,062,272,321,227,262,101,710,058,031,110,116,230,001,768,488,370,292,
875,954,067,942,019,182,079,420,526,038,384,073,397,970,383,706,985,528,252,
320,925,602,389,119,695,878,235,450,042,809,796,626,691,486,460,450,692,573,
648,868,138,021,374,796,849,083,349,260,658,971,079,417,011,744,964,909,387,
178,787,785,668,047,593,349,756,612,893,410,633,343,568,781,078,897,647,867,
538,076,048,046,519,285,243,224,352,776,892,096,154,220,776,613,587,269,147,
678,772,125,211,391,918,113,049,729,173,299,080,108,809,156,632,641,041,087,
035,553,107,315,700,722,679,091,785,951,631,017,608,194,384,860,436,164,779,
975,526,067,557,319,006,975,043,279,461,792,350,438,913,174,258,383,062,351,
868,644,848,214,553,903,372,334,107,870,234,469,045,836,298,856,093,882,419,
300,067,459,581,197,359,829,390,756,513,350,261,516,263,682,139,529,611,426,
936,982,761,874,752,057,266,564,315,568,144,035,277,448,045,336,145,874,664,
604,466,279,920,481,570,412,245,212,124,412,004,725,138,678,008,212,792,880,
276,497,112,243,927,088,112,062,636,876,617,238,072,931,758,625,089,364,530,
705,159,552,505,698,666,069,844,592,866,936,400,265,118,731,289,485,496,914,
897,039,941,351,525,529,864,875,479,422,057,011,168,018,712,581,044,215,521,
052,503,630,227,164,242,573,740,304,081,976,806,256,368,262,393,237,552,539,
378,662,559,664,198,016,080,757,208,725,947,065,212,856,647,691,581,726,506,
985,748,887,726,057,551,676,312,539,858,405,433,426,745,084,712,453,867,239,
481,642,717,510,049,741,536,968,748,558,702,978,846,474,804,354,720,373,890,
375,042,766,760,188,203,169,935,999,429,832,406,900,964,253,596,550,483,479,
202,082,993,729,065,917,363,559,067,949,002,981,333,766,365,731,608,830,853,
848,589,403,383,156,354,055,694,874,229,505,318,296,177,253,699,722,464,639,
567,022,620,730,349,414,928,236,276,684,040,353,965,717,906,571,461,489,452,
516,489,977,658,748,213,262,205,393,704,224,341,114,995,185,916,212,435,941,
247,896,725,962,276,126,290,296,151,321,826,436,471,347,366,873,099,930,678,
334,951,600,769,976,097,338,633,225,878,700,591,837,038,807,568,376,455,203,
117,241,205,093,820,819,947,300,154,238,294,248,178,769,277,630,943,742,653,
620,977,241,640,163,745,742,700,170,173,842,469,348,827,498,501,993,295,706,
728,382,140,234,280,700,036,014,503,345,918,782,551,567,985,734,312,552,516,
701,747,962,005,977,196,184,019,982,096,396,919,842,672,131,322,808,631,959,
596,200,729,231,007,341,369,895,087,598,329,575,668,910,466,858,111,048,628,
011,042,925,237,519,789,210,477,022,938,347,858,271,948,339,911,987,957,910,
511,812,555,280,979,979,911,093,543,217,413,913,653,245,494,914,039,875,192,
024,692,797,312,182,865,855,522,583,431,057,081,516,872,273,164,045,083,360,
867,548,744,263,041,402,557,774,636,842,640,232,820,850,695,619,475,725,455,
775,020,897,062,485,721,716,142,382,506,657,802,627,762,781,584,480,761,506,
698,716,151,762,105,238,339,683,381,846,817,933,924,380,587,568,726,745,379,
688,546,019,937,501,446,400,489,289,533,402,748,018,422,476,959,519,794,084,
319,762,860,293,242,570,814,446,784,205,642,618,751,319,315,926,757,227,360,
595,503,556,905,453,541,184,875,250,614,178,132,309,216,318,391,853,347,907,
001,747,373,228,986,518,639,082,453,443,010,966,629,571,419,300,093,684,291,
342,333,457,827,084,397,491,151,768,932,342,122,179,510,234,814,892,316,735,
850,719,465,632,233,548,525,523,472,040,364,369,239,710,624,596,280,952,064,
599,290,531,765,226,802,725,333,693,550,304,002,072,815,776,978,665,115,228,
430,948,875,175,056,697,126,006,367,636,793,585,389,256,475,859,575,561,313,
211,581,133,844,717,217,776,741,324,587,198,856,989,222,878,793,148,523,076,
157,983,205,086,265,649,930,113,559,200,003,288,857,585,583,668,221,123,274,
613,376,496,566,189,477,041,447,619,744,077,913,621,244,095,200,008,674,189,
016,557,315,439,513,168,953,777,791,408,589,810,772,684,564,151,149,293,347,
034,357,827,628,743,730,667,304,040,132,315,212,690,063,243,462,638,660,078,
591,975,453,280,447,241,179,226,217,207,121,964,119,640,899,715,481,074,798,
382,517,401,526,686,402,318,049,285,383,618,250,437,062,142,604,448,378,513,
634,768,698,932,169,542,301,786,029,145,666,968,256,058,229,918,021,412,262,
023,660,630,370,220,216,703,749,047,379,718,445,641,730,117,942,512,179,936,
420,525,142,190,053,466,594,164,799,339,097,150,426,374,608,724,792,460,701,
695,765,234,564,263,995,031,902,158,360,708,933,671,721,582,552,594,765,799,
902,255,473,828,634,877,611,846,388,894,243,773,194,819,147,628,676,064,524,
439,731,838,220,341,726,603,143,840,461,619,340,028,445,957,236,784,994,486,
560,162,029,389,675,618,571,746,355,228,085,404,556,863,715,740,832,148,790,
636,796,686,211,101,507,320,469,686,911,225,239,583,691,596,204,945,065,668,
807,115,328,329,904,109,608,471,141,979,966,377,637,440,591,550,154,416,601,
986,758,097,350,451,935,965,304,762,841,369,979,011,316,612,761,936,831,302,
394,509,809,950,233,866,936,373,768,333,717,349,051,645,793,985,030,499,538,
177,640,946,275,731,663,009,982,704,333,712,611,908,176,794,224,806,683,867,
115,700,469,002,136,968,224,679,294,238,285,975,389,393,860,704,391,655,166,
794,189,476,509,362,963,999,834,524,811,331,255,268,988,526,914,532,582,093,
068,228,017,609,749,687,475,074,832,458,038,939,876,326,010,239,543,995,609,
437,808,538,908,733,599,151,389,962,727,084,307,441,948,294,507,577,181,746,
470,354,133,887,537,646,002,557,616,638,062,882,355,559,888,624,691,170,603,
664,231,670,199,022,295,489,923,843,176,663,608,514,659,254,250,703,857,622,
321,065,480,451,983,482,561,003,365,306,380,762,605,174,207,877,420,211,634,
554,225,656,115,031,919,540,853,647,129,810,369,201,258,095,850,864,647,825,
880,723,117,653,779,456,099,033,983,387,143,603,026,846,486,480,958,383,222,
834,679,120,347,611,943,406,703,815,317,726,953,578,708,585,474,610,341,558,
403,519,684,027,332,426,439,770,188,600,941,891,275,968,082,499,443,492,597,
455,820,898,781,228,543,906,808,367,784,858,145,530,595,002,335,170,262,561,
814,519,726,720,228,482,036,443,230,041,215,681,261,077,151,705,747,120,989,
093,031,423,476,388,201,202,922,567,350,569,446,299,118,385,892,269,978,001,
913,500,304,499,526,443,471,498,021,204,013,714,726,340,567,798,148,262,430,
270,068,373,524,634,552,798,844,920,435,823,319,445,985,585,621,899,694,296,
472,520,715,348,496,375,013,637,261,070,929,740,921,126,492,783,684,512,568,
168,434,653,639,884,122,541,754,523,373,069,584,502,882,185,918,458,327,670,
466,738,355,451,209,021,804,390,276,286,909,213,772,123,345,779,825,690,538,
910,055,275,059,040,357,102,893,261,461,099,035,056,256,850,240,960,565,479,
146,326,730,996,327,042,990,072,659,044,141,917,557,994,063,425,110,890,681,
850,881,877,916,528,765,347,468,690,113,832,107,904,932,077,598,339,761,788,
756,047,780,781,944,825,298,248,034,988,790,849,793,132,390,716,177,010,360,
621,522,915,328,556,660,593,098,972,909,269,448,718,339,878,791,325,097,415,
345,449,093,838,211,164,317,624,593,795,228,171,349,256,946,527,639,671,579,
777,888,036,273,067,311,854,838,063,519,149,502,783,966,344,752,757,257,425,
302,970,357,402,242,776,780,340,365,406,656,398,954,779,023,592,337,645,894,
262,936,390,956,148,389,447,777,946,820,370,940,716,582,641,867,575,666,962,
224,129,860,684,163,748,692,066,258,269,496,796,752,001,497,924,454,142,565,
938,421,054,023,703,749,808,039,952,193,205,792,523,398,311,640,306,520,338,
127,276,151,863,378,179,735,058,018,713,830,177,056,103,633,083,700,056,434,
082,926,706,574,504,434,459,314,692,694,887,692,316,535,615,664,044,584,035,
970,650,867,084,946,498,424,511,431,668,759,711,848,558,403,593,665,903,777,
298,171,688,763,686,705,697,854,410,402,114,567,119,181,187,256,785,429,011,
782,631,843,597,629,859,326,144,676,832,349,011,344,231,021,596,485,853,990,
668,032,708,878,275,668,292,916,256,616,293,147,624,435,334,409,944,399,559,
575,044,727,589,086,719,590,074,839,184,494,242,847,312,457,939,732,802,877,
163,066,531,680,056,512,594,040,195,257,748,915,658,603,552,329,931,420,472,
637,409,789,813,336,491,657,209,246,428,500,856,246,674,157,975,712,693,595,
004,653,103,322,328,461,014,363,310,518,361,394,932,243,306,266,813,492,973,
782,952,583,488,277,212,168,106,031,399,880,514,402,872,708,355,613,220,032,
577,989,119,870,237,978,074,877,327,011,187,461,724,301,583,473,003,729,200,
737,751,068,209,940,451,603,286,823,890,037,461,987,312,325,015,209,479,401,
236,126,597,405,621,384,453,419,711,805,220,660,812,446,870,959,835,168,626,
723,198,496,242,240,383,985,717,934,064,265,731,958,627,636,858,055,813,991,
892,132,611,072,557,401,044,707,196,763,641,484,752,716,185,377,619,314,265,
839,568,812,320,264,263,036,588,008,085,778,459,322,107,728,012,302,287,461,
086,973,930,966,484,388,710,161,478,066,711,261,117,085,876,310,771,346,897,
488,091,504,971,640,044,303,417,361,364,265,423,114,376,303,795,986,602,564,
997,968,928,421,256,419,575,833,929,917,423,598,876,117,836,174,120,503,945,
699,094,674,242,890,254,377,309,753,718,061,007,127,673,635,279,108,041,931,
237,075,868,820,893,609,612,668,810,797,539,626,596,725,426,245,230,857,233,
773,425,196,790,295,251,946,449,979,110,524,161,045,270,407,037,205,671,564,
638,722,623,865,158,891,175,274,604,890,841,842,362,956,794,954,358,717,270,
040,385,802,197,244,074,935,167,700,110,694,628,228,812,956,689,529,450,451,
528,316,424,202,869,048,141,955,258,045,312,291,539,454,670,660,377,797,391,
324,728,621,901,095,904,894,372,457,859,504,049,330,645,583,592,456,343,662,
078,307,357,965,173,998,220,855,647,095,466,907,040,829,513,289,870,680,588,
007,429,106,157,311,313,385,817,166,692,276,521,027,166,472,371,902,771,681,
270,565,724,105,613,174,672,693,755,485,303,547,037,305,724,292,426,536,412,
977,197,281,814,458,122,491,667,745,454,164,738,770,278,347,931,361,429,207,
826,019,099,166,657,678,788,682,527,632,668,467,065,457,089,630,331,510,967,
736,833,334,513,520,948,911,071,774,325,410,195,859,523,075,019,886,923,570,
583,603,975,680,108,824,455,519,506,807,942,105,862,474,043,947,071,093,897,
938,947,551,991,230,444,128,439,654,175,875,200,295,707,693,641,103,064,969,
302,103,920,025,642,929,552,601,460,735,981,635,797,736,624,555,315,440,353,
003,786,212,244,139,673,401,100,031,105,020,341,728,353,780,299,047,878,887,
464,253,570,053,009,322,497,152,760,665,377,032,508,222,317,139,454,213,582,
031,575,303,870,586,717,141,918,322,360,727,962,845,787,008,152,151,984,760,
253,320,205,385,650,170,859,897,396,297,434,057,741,168,096,308,505,527,746,
627,545,697,260,240,891,364,858,594,842,091,740,872,097,244,817,636,164,812,
825,503,305,417,572,467,673,140,451,065,520,805,343,769,716,235,686,972,227,
507,306,179,482,535,071,425,239,941,794,202,261,376,322,729,422,143,426,625,
611,350,677,843,353,250,046,988,099,180,240,292,719,077,665,509,085,560,640,
638,557,657,915,012,939,053,036,054,653,522,789,467,160,842,847,855,050,729,
840,401,125,609,880,594,475,914,782,723,067,130,298,184,011,378,254,646,083,
791,776,494,292,322,892,064,743,464,072,706,793,226,197,236,498,020,121,863,
943,373,514,648,724,112,364,552,914,874,041,751,159,916,595,554,208,674,871,
603,495,136,542,660,345,604,303,306,535,411,965,970,836,185,551,347,054,249,
809,024,028,622,886,963,723,239,295,193,204,218,466,237,763,176,334,304,106,
729,096,877,765,098,629,191,310,921,628,697,863,385,435,445,457,973,223,505,
379,465,385,535,979,066,845,231,302,729,861,564,987,154,747,279,900,766,231,
318,373,273,780,870,477,797,793,735,695,739,913,688,821,687,182,002,703,886,
281,414,836,009,278,940,652,856,963,178,785,981,169,686,682,688,295,344,035,
892,356,152,653,726,680,817,386,627,975,556,326,059,926,911,270,716,634,737,
917,307,342,493,306,421,628,387,501,502,270,892,025,430,521,658,136,784,298,
620,010,972,722,207,489,580,299,859,168,721,949,792,725,531,901,828,189,140,
629,487,935,662,856,163,630,652,182,917,032,494,668,904,758,348,808,517,453,
869,020,576,414,263,181,948,102,386,198,376,924,817,580,107,458,293,618,821,
198,375,051,325,870,276,568,869,921,219,276,101,038,448,374,206,423,408,003,
192,948,599,036,790,880,072,112,537,811,446,690,923,517,501,942,395,218,734,
825,650,957,446,827,708,524,672,460,067,580,550,723,218,298,015,271,965,190,
237,452,220,326,787,053,143,898,384,025,946,244,519,405,494,018,066,327,019,
476,789,100,771,593,921,951,397,634,903,633,831,481,710,735,971,592,032,858,
960,088,212,101,353,485,388,811,879,142,036,965,754,222,143,286,320,796,698,
351,456,687,673,662,341,924,484,151,424,594,516,190,709,763,307,897,711,175,
294,607,149,241,189,412,494,567,005,842,122,429,314,472,302,506,172,215,290,
028,711,750,338,893,318,399,674,293,604,747,963,844,750,557,461,951,762,125,
743,450,441,781,416,987,234,209,087,318,453,504,363,714,559,922,851,803,760,
148,342,712,753,162,333,902,798,105,806,034,168,811,415,833,026,935,634,716,
345,902,836,804,433,602,428,728,102,998,717,671,024,159,554,607,726,129,631,
411,956,654,507,171,474,231,471,087,185,111,165,691,824,700,747,356,437,289,
668,186,503,531,345,550,711,439,935,671,135,631,347,336,626,018,062,544,304,
621,432,671,130,408,840,133,406,079,140,784,277,018,730,523,426,536,263,722,
393,604,017,423,933,911,111,680,088,172,165,709,146,885,018,203,889,132,612,
773,018,111,496,052,419,652,115,784,281,896,692,998,019,901,879,383,778,388,
336,128,599,187,385,682,560,501,181,422,923,804,453,601,957,042,498,356,642,
813,122,404,304,761,622,225,814,972,781,498,000,621,024,947,963,044,615,426,
929,478,509,932,564,129,540,167,364,765,892,305,938,882,978,700,575,020,917,
641,629,011,434,900,092,842,814,221,007,311,239,958,600,889,408,232,834,221,
982,291,524,409,196,078,344,517,914,263,706,909,886,794,556,343,676,710,474,
552,473,665,391,103,759,124,916,251,139,738,088,649,777,907,037,627,280,005,
738,621,236,449,572,563,859,914,819,696,149,225,297,889,204,282,782,947,363,
824,217,023,591,697,954,841,589,213,486,732,608,927,330,958,196,189,357,135,
568,709,604,160,626,854,161,277,518,251,944,984,007,565,648,039,632,482,409,
721,641,403,978,814,885,624,019,927,626,549,744,482,217,171,902,867,669,851,
292,934,922,557,304,241,130,090,566,485,317,407,311,443,876,120,118,444,090,
710,164,252,571,482,499,782,070,310,496,011,161,871,743,105,178,318,034,141,
627,240,130,049,503,245,752,902,479,987,613,211,532,702,081,936,561,955,208,
695,016,274,381,151,931,715,856,172,406,225,772,234,335,051,600,030,195,378,
644,184,012,960,805,465,266,113,394,607,882,478,250,837,087,292,030,641,592,
675,829,396,100,815,347,669,862,474,067,045,569,745,290,357,450,067,090,463,
319,554,950,540,319,309,908,686,742,789,989,971,170,953,286,974,092,716,294,
405,767,780,971,091,288,255,484,996,500,722,465,003,460,080,185,629,022,181,
204,354,755,678,314,215,494,637,686,095,953,023,907,807,983,889,932,147,122,
142,379,036,871,510,071,020,513,227,331,988,133,423,038,759,538,245,895,720,
614,092,725,449,693,507,752,310,455,575,469,544,982,211,434,818,307,711,305,
630,697,420,939,872,808,508,083,563,016,460,549,264,537,680,537,809,943,273,
739,170,638,916,128,531,713,725,686,441,765,745,449,952,574,218,737,182,605,
353,086,713,525,504,105,900,280,184,390,587,593,740,718,416,099,154,445,373,
944,180,858,182,473,997,218,755,157,544,677,034,399,462,690,855,877,176,002,
844,284,817,249,078,683,705,188,836,837,623,064,033,118,575,954,699,507,209,
393,667,173,095,087,337,134,281,178,837,467,922,922,657,107,505,472,380,841,
575,097,718,472,173,192,460,631,831,773,227,830,089,086,527,179,142,607,210,
632,047,479,852,749,394,643,428,963,658,057,664,323,026,202,421,803,278,569,
248,956,333,178,622,813,605,402,669,176,304,308,212,145,377,241,588,293,790,
533,824,069,368,884,489,458,484,147,240,947,054,737,624,171,987,012,248,063,
345,935,799,382,465,041,384,982,440,254,623,931,233,629,775,813,932,769,996,
618,824,470,558,106,095,223,791,012,281,463,389,402,917,922,698,053,039,100,
774,975,373,084,507,396,604,125,850,748,308,207,588,794,705,602,049,293,475,
992,571,747,475,962,458,371,137,193,286,872,818,314,490,896,886,434,621,014,
370,542,713,421,538,221,425,017,902,378,773,161,975,590,501,642,123,319,843,
621,890,864,116,204,559,240,405,906,314,378,566,877,420,373,421,126,708,874,
478,302,309,942,149,967,702,449,556,837,636,550,973,943,760,949,440,010,140,
309,389,425,617,368,528,463,801,001,187,245,417,624,346,383,338,939,138,575,
464,439,420,201,534,808,286,472,746,300,184,321,831,201,487,220,736,630,675,
068,917,652,424,562,755,892,431,959,323,767,253,453,436,013,206,730,806,444,
315,312,960,960,044,121,025,121,122,976,354,496,914,925,172,597,552,350,563,
584,082,469,549,752,962,643,159,309,533,322,021,852,131,468,047,418,421,471,
295,092,931,048,573,552,760,688,958,443,967,958,654,524,145,611,843,223,924,
346,532,393,646,578,782,292,113,972,227,796,522,745,919,692,819,731,333,538,
823,628,579,313,967,971,892,663,239,014,844,424,934,288,922,357,920,261,766,
556,271,421,002,071,993,915,705,822,102,036,728,342,526,243,604,933,599,547,
450,432,341,428,615,557,893,768,892,070,840,113,175,164,066,090,791,931,150,
541,198,765,035,205,536,173,343,769,168,315,670,042,126,827,221,560,453,062,
401,271,816,980,866,723,557,362,541,977,273,926,213,478,115,012,363,404,538,
569,973,234,222,492,444,201,506,915,745,564,447,919,109,055,039,384,812,314,
568,527,639,771,807,640,154,014,607,247,176,450,807,777,801,355,245,302,296,
674,396,844,029,355,097,787,152,028,735,334,222,806,209,038,143,750,278,593,
141,577,450,033,454,673,529,057,754,684,950,543,084,593,137,812,490,078,546,
538,266,102,676,854,628,907,283,305,366,974,016,551,069,880,367,726,442,712,
632,290,263,869,273,223,866,884,759,145,752,690,841,106,999,707,759,071,279,
372,321,976,515,548,556,462,801,190,652,049,757,543,116,365,125,454,482,241,
711,339,427,697,248,229,970,972,977,422,671,869,074,752,324,535,659,183,360,
288,685,178,038,744,508,590,087,722,392,712,338,584,766,235,085,291,183,290,
875,947,256,904,771,005,976,716,710,008,443,892,514,876,956,586,271,416,607,
749,717,369,096,985,761,108,843,329,738,682,966,225,023,742,080,861,694,651,
696,112,014,805,514,825,976,140,572,275,824,722,709,986,396,885,286,304,496,
587,352,449,044,001,351,948,045,498,178,144,327,196,349,754,140,159,643,885,
783,239,613,780,259,012,490,637,197,088,657,665,455,632,148,717,398,925,737,
840,961,640,270,612,554,576,979,954,593,716,238,148,398,155,822,627,661,448,
259,856,447,980,481,225,106,031,277,287,540,433,549,567,499,642,027,444,476,
748,663,512,237,526,437,401,930,051,557,166,278,060,735,592,821,479,485,506,
517,226,225,766,394,696,742,320,035,991,392,807,758,280,230,914,821,135,676,
668,805,722,429,332,423,662,364,218,262,418,897,071,550,808,148,479,800,801,
576,805,829,813,391,004,649,949,633,183,015,166,179,568,697,013,875,319,882,
166,181,622,499,475,545,197,333,332,901,002,412,339,434,016,378,790,822,064,
725,276,220,518,714,370,596,817,365,015,753,937,966,338,075,979,912,357,837,
387,336,713,117,296,474,430,664,031,136,960,127,090,328,098,338,385,657,597,
574,155,657,124,032,883,534,508,411,417,184,472,516,763,930,807,649,207,046,
375,322,393,953,729,569,861,028,187,884,066,279,372,413,475,551,840,546,539,
913,571,380,297,769,359,856,028,088,734,898,284,310,335,798,278,005,655,894,
429,671,008,898,997,983,694,059,441,045,126,681,647,590,228,846,449,208,491,
703,143,794,766,677,893,411,832,744,782,472,007,644,274,936,891,414,606,871,
805,072,355,950,341,396,953,601,513,256,275,398,628,067,446,401,094,268,684,
605,831,053,795,433,127,987,327,781,841,766,650,216,091,841,214,252,533,001,
930,136,204,032,101,685,323,694,750,018,608,631,699,841,165,271,744,449,755,
514,248,307,932,300,817,169,359,945,727,608,960,167,481,573,981,539,054,560,
340,756,756,178,619,102,766,736,314,207,143,931,602,039,188,778,279,240,219,
385,624,997,491,500,969,063,068,895,578,424,340,248,302,678,651,855,257,960,
419,092,421,433,981,988,718,422,879,560,034,240,153,027,110,829,649,454,670,
128,595,432,965,486,217,459,598,766,037,819,078,508,263,555,969,625,513,925,
510,895,688,920,223,919,060,007,843,453,816,376,012,080,123,169,191,528,163,
229,622,582,604,094,348,152,346,468,834,945,658,243,776,552,949,964,096,727,
562,470,214,930,074,224,074,529,830,606,232,815,810,293,517,281,298,125,634,
286,919,160,347,802,932,042,557,459,983,336,074,065,543,361,015,584,081,536,
035,723,723,180,527,808,152,923,239,138,566,779,453,035,842,285,827,343,314,
386,184,588,081,294,738,122,619,070,686,102,179,402,105,220,480,925,055,617,
457,906,027,819,621,180,932,728,858,033,483,187,300,540,464,083,965,068,606,
569,101,528,814,020,668,764,868,563,318,147,483,706,640,997,691,573,271,730,
217,640,483,195,327,030,283,211,263,838,207,988,989,845,804,865,617,458,731,
020,846,315,337,212,192,759,064,816,400,714,806,549,674,950,287,956,390,318,
836,361,027,106,923,916,232,821,440,327,433,445,586,597,825,655,392,106,006,
197,476,492,852,680,909,835,641,343,381,200,187,288,312,512,831,489,934,635,
246,015,829,937,948,907,270,484,853,222,662,053,045,059,536,046,696,173,614,
391,580,005,216,049,680,261,284,185,865,802,999,658,633,373,563,932,774,153,
152,670,236,981,886,481,338,815,378,691,933,418,421,430,605,634,612,294,430,
650,602,793,376,155,018,044,961,421,903,658,696,391,283,956,672,947,725,645,
989,099,993,703,754,869,969,131,055,814,684,127,799,715,782,693,046,300,912,
789,276,411,864,044,964,053,376,361,523,467,493,399,444,639,546,793,497,056,
524,294,769,244,555,134,215,982,915,043,464,245,758,155,639,438,198,898,860,
987,321,500,047,173,065,952,546,604,822,580,225,982,748,507,768,997,716,707,
099,528,560,393,538,981,525,349,329,416,246,792,311,691,021,400,411,259,421,
435,128,607,990,846,046,433,965,570,431,857,373,422,462,241,140,254,098,188,
333,062,807,273,571,165,322,573,727,560,979,297,999,126,747,238,593,725,002,
166,883,569,885,887,423,847,362,220,042,340,470,913,303,985,925,370,358,388,
338,841,072,663,662,385,431,903,408,888,612,297,550,759,471,493,169,499,373,
511,470,432,311,162,284,480,852,407,944,706,301,448,826,446,091,037,056,336,
276,077,234,928,909,633,859,058,903,745,385,852,126,479,520,260,274,203,903,
791,728,748,248,491,689,106,977,341,194,319,870,220,874,201,727,986,038,698,
937,386,362,891,837,988,453,854,332,162,073,037,951,794,388,297,358,638,539,
668,859,021,305,944,000,569,007,699,729,404,743,107,025,628,830,962,466,025,
468,928,791,101,188,314,027,261,032,571,929,134,421,174,244,735,992,272,403,
147,736,139,412,466,216,331,494,056,834,204,870,412,488,388,944,009,846,603,
149,719,925,801,131,605,139,775,118,677,749,613,044,154,513,816,403,566,059,
920,067,839,967,532,152,118,070,271,286,206,583,710,100,073,222,428,394,868,
962,527,291,574,384,009,567,983,118,706,601,928,380,189,576,881,199,400,533,
209,649,275,798,417,463,941,446,106,392,416,972,084,924,585,366,490,350,354,
488,735,442,074,573,887,335,520,677,173,516,828,066,015,737,504,665,631,398,
721,326,247,187,354,822,989,261,583,450,791,512,758,568,569,260,287,642,433,
121,761,138,559,139,516,799,070,796,846,500,156,850,311,846,317,175,712,208,
492,323,339,574,076,286,252,445,127,205,435,876,436,369,614,738,529,172,484,
163,464,948,914,438,985,172,782,786,355,324,753,947,285,283,997,474,369,327,
681,805,854,045,822,681,422,135,056,097,442,237,737,045,465,721,805,912,760,
332,811,638,988,809,707,265,607,850,680,844,215,633,550,683,674,004,805,722,
563,153,945,647,682,631,622,088,058,526,343,522,468,780,070,417,543,693,815,
450,509,990,937,245,159,795,167,423,252,388,405,009,548,694,617,195,734,557,
181,342,539,615,849,925,523,439,899,193,371,725,360,562,510,096,138,592,460,
005,370,071,499,613,982,831,808,527,185,943,980,754,876,681,571,153,080,629,
022,752,111,516,543,573,913,439,147,225,945,384,322,516,830,045,974,737,682,
450,012,397,771,606,743,564,796,904,103,939,946,191,969,380,696,633,859,733,
528,226,635,019,771,450,567,172,201,453,717,893,680,125,381,932,240,998,078,
089,609,335,102,730,603,880,212,288,672,575,237,419,264,158,084,853,270,320,
105,390,055,985,521,077,726,541,678,196,208,321,294,705,983,012,129,786,881,
938,671,861,545,199,956,031,526,124,755,827,952,771,550,464,180,140,505,516,
882,369,768,195,736,434,907,945,275,168,545,089,103,769,191,943,999,203,571,
033,070,004,649,191,650,737,410,205,420,809,217,226,594,733,004,069,291,587,
949,564,071,605,317,414,969,893,276,982,367,943,012,321,458,930,580,201,455,
798,670,931,144,670,127,641,210,652,659,361,701,998,105,374,141,995,608,773,
137,296,292,815,235,090,608,366,261,359,402,796,405,514,559,565,010,387,609,
822,360,734,380,101,787,513,854,802,256,268,317,404,854,797,443,086,469,929,
734,337,565,821,233,950,731,635,211,444,247,851,124,306,211,458,140,354,058,
435,340,284,817,029,401,060,157,204,953,160,821,568,392,534,773,815,242,639,
456,515,860,193,864,963,972,104,349,048,152,315,859,072,269,088,997,452,222,
304,428,550,474,918,831,863,956,005,475,055,882,446,387,793,364,790,260,153,
440,890,890,485,929,014,057,740,132,748,903,301,223,963,278,837,250,692,522,
005,773,470,748,048,478,587,924,567,125,884,138,805,790,975,302,333,436,874,
408,772,808,063,889,314,091,170,681,013,978,551,990,296,224,463,845,659,804,
732,679,931,326,140,959,057,650,603,625,348,203,107,885,419,801,826,707,961,
569,344,698,733,848,048,442,052,631,738,941,605,365,020,495,205,909,731,812,
675,334,464,170,815,589,915,578,964,768,180,591,582,178,632,318,600,324,072,
604,771,336,837,841,568,633,285,034,653,135,896,972,205,496,213,022,439,032,
440,140,005,374,558,886,872,651,857,173,616,995,139,453,023,345,091,769,550,
027,183,291,565,216,031,972,314,475,373,077,842,559,373,109,177,833,997,351,
883,151,713,632,430,198,483,702,663,906,942,287,165,622,014,775,650,381,961,
326,078,880,553,266,970,238,672,012,169,998,908,865,118,446,787,674,898,089,
539,969,404,310,968,821,416,318,304,864,771,721,992,270,646,170,951,133,369,
949,207,140,155,170,951,664,237,884,612,828,235,893,208,151,495,720,743,363,
381,222,177,671,360,867,401,757,105,105,561,950,083,199,359,914,442,181,316,
960,432,200,518,573,506,731,692,417,094,022,262,039,101,685,820,044,972,420,
684,356,261,966,832,909,309,933,877,330,534,847,076,659,601,842,263,118,847,
094,362,829,750,165,326,672,571,744,173,549,003,603,862,065,943,647,875,377,
877,539,855,847,060,607,941,874,867,487,381,096,044,798,167,654,906,279,188,
570,998,743,961,253,295,407,117,581,364,483,004,716,309,768,646,941,516,654,
650,050,295,956,146,065,209,143,471,066,301,698,864,045,662,219,909,218,818,
679,834,145,373,352,234,672,813,881,783,297,880,723,709,639,387,630,756,063,
064,861,889,147,563,448,464,727,262,609,926,314,456,875,240,482,712,021,290,
795,909,976,439,308,419,651,012,041,078,271,944,639,303,981,804,853,539,922,
852,283,436,660,044,504,930,060,926,682,880,473,213,270,764,478,427,818,135,
712,465,097,320,146,088,721,504,338,918,439,434,536,655,967,156,418,363,086,
820,765,500,328,006,938,801,293,516,794,438,450,803,426,407,116,084,634,420,
893,050,382,289,330,341,279,493,907,891,745,578,341,805,474,390,070,973,810,
809,310,959,696,727,861,886,756,712,592,991,159,929,525,255,469,755,069,792,
847,619,407,036,297,259,942,598,675,943,393,539,660,700,794,584,918,046,701,
194,835,991,401,067,719,040,439,273,760,227,152,033,738,358,631,861,393,723,
437,425,147,853,236,151,769,141,814,978,428,984,813,720,721,642,000,541,983,
811,576,173,960,083,522,590,601,344,990,332,562,917,938,935,953,840,545,296,
397,064,442,852,877,054,767,032,240,281,792,747,116,559,063,372,886,236,563,
456,000,200,931,448,518,983,454,187,035,964,732,010,450,309,696,118,991,894,
516,317,472,374,071,644,245,066,559,088,323,598,946,121,239,409,946,145,831,
880,028,509,626,533,922,780,571,897,154,805,546,700,228,418,283,825,540,474,
976,108,081,449,416,296,470,105,216,803,646,169,342,685,145,424,077,882,138,
449,649,808,571,522,865,539,870,135,609,013,112,950,219,498,331,361,103,038,
954,217,533,914,324,262,600,336,586,835,276,203,984,993,997,476,851,856,171,
928,141,840,974,925,920,807,240,280,018,720,369,171,887,921,031,812,487,121,
669,314,329,928,079,242,725,010,232,250,304,436,185,016,387,888,072,046,211,
163,453,702,720,571,888,854,101,885,704,127,615,128,366,336,487,959,388,143,
681,384,546,937,716,054,544,797,027,987,719,230,260,122,195,419,597,735,220,
890,190,726,015,012,557,784,343,828,225,889,998,115,481,624,222,236,915,368,
500,969,143,673,768,536,872,699,670,325,847,896,067,800,915,839,925,272,189,
116,270,688,166,750,000,193,018,919,548,842,410,093,831,361,248,429,552,712,
339,141,110,543,019,873,188,239,330,985,394,288,620,152,678,974,400,970,343,
413,475,016,740,637,994,203,148,884,045,869,870,275,199,464,705,417,234,337,
474,710,751,849,725,509,839,589,344,617,493,772,750,316,740,649,520,744,225,
157,661,406,490,880,588,381,458,444,231,855,417,714,119,471,379,857,378,866,
868,873,339,521,319,555,458,079,016,932,343,789,972,023,457,607,951,024,176,
608,543,853,599,880,961,022,538,238,161,384,858,984,837,673,736,526,249,520,
466,576,517,936,745,881,198,163,021,037,471,796,076,185,058,555,050,934,403,
976,665,414,788,776,011,477,662,292,420,615,419,991,717,282,639,924,569,566,
585,860,058,384,610,170,617,950,157,169,712,283,340,573,861,433,435,491,073,
427,181,730,455,231,184,108,572,342,883,869,140,817,384,845,308,899,294,306,
192,894,769,716,438,235,072,719,912,675,486,121,457,463,549,215,231,159,645,
410,929,026,316,311,378,464,182,109,709,332,596,147,136,507,919,093,850,000,
706,171,468,398,802,231,820,406,554,904,084,132,233,772,066,137,566,936,014,
405,004,734,599,724,437,814,041,378,188,587,013,026,849,464,585,640,650,119,
779,832,476,414,966,770,232,829,236,747,791,673,964,088,268,331,044,372,310,
651,788,823,052,679,851,323,199,270,649,588,898,319,822,148,081,078,208,246,
911,106,233,631,773,506,941,347,589,043,562,931,747,045,777,032,245,614,741,
293,032,772,177,868,449,791,831,178,577,471,021,188,333,896,755,011,049,146,
533,478,745,840,625,731,768,195,704,779,575,620,174,918,137,490,676,259,540,
972,219,764,637,384,573,479,845,849,523,082,809,462,281,022,580,451,960,771,
084,328,805,561,803,069,231,023,036,657,701,682,711,026,514,473,724,281,406,
947,817,521,872,678,634,206,689,788,498,492,012,089,929,188,440,526,799,767,
584,917,263,809,101,845,468,422,790,493,170,154,361,274,356,526,840,005,508,
732,366,256,728,087,431,069,577,960,711,971,160,211,470,728,070,450,863,744,
514,716,211,207,630,845,816,688,054,428,821,348,363,831,428,161,187,449,101,
779,804,178,292,645,978,458,897,664,955,680,101,078,555,178,696,671,435,076,
633,395,347,964,665,085,542,662,522,542,368,113,994,125,051,511,483,138,686,
177,903,606,010,600,723,419,981,133,499,926,451,714,998,379,872,691,795,668,
884,159,859,484,896,222,984,373,596,410,196,663,789,385,065,954,272,152,221,
366,140,561,375,283,753,656,483,315,935,225,543,747,840,898,463,038,236,246,
554,850,503,774,799,233,838,902,440,859,478,319,603,556,598,590,770,898,706,
252,699,040,574,337,460,155,619,919,751,585,270,814,498,000,946,337,815,422,
803,516,998,944,577,442,621,930,031,831,707,044,456,467,824,018,750,822,293,
448,182,092,469,797,272,300,679,828,053,721,116,751,367,418,594,521,026,302,
479,479,034,016,127,484,278,586,864,381,960,059,315,770,019,919,997,487,736,
366,695,090,564,288,384,507,658,364,750,781,420,527,560,863,007,120,077,159,
778,874,979,433,067,139,608,227,137,156,556,478,321,971,686,444,569,309,695,
641,410,809,336,374,354,023,487,205,661,053,363,844,932,164,842,951,130,098,
404,842,049,796,445,800,003,359,878,939,747,205,523,860,497,552,219,235,286,
588,664,630,895,315,975,194,285,247,647,581,408,043,648,191,140,186,310,309,
505,832,790,860,376,656,088,765,440,820,508,480,352,429,478,458,945,036,700,
402,772,802,507,737,784,835,761,209,415,972,222,782,637,069,111,376,300,275,
647,735,836,354,614,580,169,351,612,305,073,165,388,226,157,218,525,974,894,
741,176,149,521,818,772,145,872,764,970,049,663,836,318,912,570,927,501,828,
020,589,269,331,450,691,173,191,262,517,856,776,518,356,345,068,573,123,508,
773,803,014,753,411,437,876,207,356,784,426,259,332,254,082,719,796,785,020,
537,342,847,501,489,950,967,997,659,967,487,177,260,142,042,556,971,993,397,
912,743,188,985,444,999,503,753,071,386,754,137,511,650,591,951,686,399,546,
562,487,747,297,000,207,968,192,422,598,346,768,453,415,166,420,636,656,494,
120,246,494,497,632,084,690,079,503,575,546,005,714,857,086,807,362,983,869,
771,248,761,003,311,369,432,115,308,350,299,069,641,206,876,425,567,859,139,
379,467,201,102,536,299,614,785,846,201,498,595,163,249,094,337,637,245,124,
943,296,955,460,672,060,935,575,110,776,606,727,033,281,781,072,618,350,835,
585,080,152,665,932,142,834,536,193,616,062,736,815,636,443,570,868,830,354,
444,485,695,915,693,959,621,609,402,504,202,281,752,113,280,427,736,125,862,
170,897,415,636,443,096,230,326,904,994,999,165,442,332,688,123,698,723,805,
164,147,837,458,003,063,375,150,989,661,116,899,437,854,523,866,579,126,766,
244,923,019,293,178,061,152,806,047,511,177,762,666,176,650,580,898,678,926,
128,502,891,795,128,497,502,891,316,172,014,128,824,741,688,183,904,432,109,
699,589,592,474,211,005,916,710,157,294,611,433,435,749,155,443,515,755,833,
537,963,584,859,403,055,771,105,952,864,545,766,089,546,139,897,696,200,925,
101,850,360,102,615,538,826,623,090,014,813,963,699,731,856,857,217,583,056,
351,933,270,925,151,716,106,707,222,782,473,784,267,461,235,663,178,228,149,
098,478,789,714,183,779,689,507,368,929,041,197,167,244,068,520,727,031,297,
853,337,465,215,542,177,615,627,313,940,569,698,799,501,362,317,740,808,083,
594,030,658,716,853,568,492,366,966,321,444,308,718,809,133,257,113,615,039,
597,209,848,645,907,597,806,938,297,534,731,168,886,847,022,882,185,036,917,
714,293,085,260,816,743,881,624,510,652,911,137,527,754,940,004,829,464,101,
319,833,191,341,915,408,818,689,565,213,694,897,553,037,200,737,892,181,741,
088,399,721,168,732,642,037,172,101,511,497,878,312,710,867,891,382,556,456,
089,787,862,815,648,089,200,929,135,142,663,341,843,219,687,021,997,534,283,
548,984,454,246,983,751,029,426,456,125,791,492,711,993,167,116,529,448,659,
463,228,615,124,580,312,128,483,173,427,018,088,084,943,190,054,077,390,343,
975,475,554,535,851,199,893,893,131,796,027,733,058,344,711,079,991,017,927,
674,985,057,929,535,746,126,601,753,247,005,028,234,858,182,992,997,549,208,
399,149,117,540,041,606,309,882,569,122,319,061,525,542,089,555,016,627,349,
279,582,246,821,655,002,110,204,494,172,386,765,962,112,783,700,636,036,709,
221,181,674,723,044,551,545,337,501,592,900,468,846,716,657,892,973,810,590,
150,572,110,510,112,909,532,345,607,709,053,350,659,501,937,020,452,991,672,
936,318,894,369,326,947,254,962,677,025,685,858,922,753,544,390,787,472,376,
052,851,884,746,627,403,465,241,506,511,978,152,227,058,599,383,764,119,776,
688,610,545,242,914,751,383,596,683,996,688,898,311,019,204,754,770,483,094,
294,533,466,710,046,196,500,911,387,420,154,474,887,038,612,538,920,547,989,
849,034,987,407,243,761,185,316,972,703,941,754,431,561,139,051,389,059,415,
414,419,205,948,563,800,382,004,549,408,760,516,427,795,025,770,436,347,560,
147,130,572,290,108,719,103,686,053,353,066,768,476,820,829,183,185,109,436,
257,178,652,567,177,118,546,541,962,652,367,746,810,122,894,102,499,337,580,
586,938,122,203,934,498,893,162,631,489,923,936,989,659,054,136,528,742,745,
750,790,975,687,450,518,053,771,038,945,710,974,053,846,115,856,715,632,436,
504,028,077,338,317,399,675,710,946,679,423,307,987,071,763,993,707,712,275,
482,254,554,833,099,030,373,790,342,054,359,025,977,573,040,625,268,580,179,
471,513,736,198,851,230,401,303,761,940,187,433,683,817,026,388,053,890,120,
178,880,584,365,209,059,076,213,921,738,919,494,365,305,595,064,009,686,229,
777,252,079,467,617,626,952,609,003,498,804,182,595,139,746,340,727,589,776,
005,898,828,120,344,477,734,586,350,109,834,814,252,726,257,034,850,412,418,
268,793,845,994,540,742,148,476,456,304,566,946,807,276,252,076,910,114,167,
534,297,053,426,068,616,200,083,933,625,299,599,213,189,139,035,380,625,871,
019,573,554,591,926,888,880,766,767,888,060,081,305,070,306,242,239,785,262,
071,197,201,989,821,946,050,203,490,231,982,960,708,282,555,522,649,822,507,
412,518,163,461,703,141,282,730,186,662,928,654,909,243,855,323,550,236,141,
992,141,387,961,014,041,707,759,798,987,797,055,017,787,369,714,092,349,458,
971,517,803,300,550,927,235,759,585,822,059,899,227,857,109,780,821,714,532,
424,473,263,388,598,945,892,357,237,131,570,348,279,543,923,022,560,451,587,
435,974,186,360,912,211,352,087,587,913,675,489,532,586,529,139,056,517,424,
757,556,159,679,094,640,393,048,055,386,311,209,304,879,469,257,194,143,949,
727,272,743,614,721,980,228,346,532,857,763,316,358,805,680,099,997,844,254,
177,853,442,289,827,495,990,052,490,665,126,991,219,162,968,101,496,716,467,
099,675,794,887,330,718,509,001,433,330,640,779,571,559,003,713,798,533,971,
522,494,445,224,838,712,148,514,767,856,975,155,622,192,985,395,335,503,134,
207,595,758,187,962,876,798,807,895,372,445,690,089,342,498,776,767,950,013,
221,466,885,232,146,300,476,451,234,476,396,680,064,443,083,790,236,417,880,
637,016,084,784,964,463,022,459,393,986,517,817,490,754,892,903,299,758,653,
917,787,217,238,519,326,979,956,683,976,903,628,675,208,679,674,926,306,222,
983,678,196,220,579,619,317,861,357,362,637,552,615,689,870,991,807,528,911,
154,451,962,618,861,407,034,361,620,762,857,013,507,218,000,514,617,812,671,
236,257,307,140,647,778,287,673,617,468,506,456,073,027,095,203,005,180,011,
575,964,373,630,668,825,478,605,942,140,348,832,333,155,082,217,505,258,446,
890,551,258,461,311,043,123,798,757,085,953,074,528,352,285,383,496,901,126,
505,145,365,294,897,605,682,441,483,326,993,477,667,623,409,132,203,320,113,
906,499,579,507,063,892,360,095,708,578,361,874,018,724,641,679,426,320,907,
275,181,035,498,271,371,623,511,524,526,548,485,409,379,893,313,076,942,987,
063,350,345,653,284,600,188,803,771,594,199,554,765,735,674,832,228,718,835,
112,950,684,749,749,257,725,890,453,042,510,930,419,393,920,801,232,887,389,
156,009,714,494,755,738,469,882,423,406,893,843,570,723,963,184,041,757,196,
021,780,454,391,817,238,126,587,497,280,604,774,527,570,006,125,750,728,281,
846,969,463,568,381,989,098,268,991,647,573,315,460,024,745,923,067,168,476,
174,986,013,541,530,896,243,553,704,881,443,982,583,770,509,226,424,061,895,
561,854,105,536,093,534,651,917,067,416,969,344,894,987,374,200,590,899,945,
602,259,619,000,877,151,951,330,799,683,323,321,662,900,927,662,613,005,201,
994,699,840,547,048,720,805,738,727,358,462,002,570,203,329,095,353,654,423,
394,263,495,629,740,093,256,396,251,577,429,916,211,550,883,506,251,417,231,
593,687,057,019,646,376,325,834,505,082,358,098,439,614,556,421,381,599,055,
336,905,393,503,814,523,827,703,018,900,034,171,900,454,392,876,446,210,605,
419,382,973,728,838,804,730,595,570,839,624,330,268,485,864,280,276,058,510,
994,364,610,579,053,225,652,564,201,157,101,537,109,116,272,035,602,487,390,
907,070,537,998,823,299,716,446,395,893,856,903,601,031,598,584,164,428,261,
859,561,112,059,483,661,335,683,649,228,500,168,507,110,736,999,266,424,338,
795,408,288,368,194,020,583,671,134,427,256,704,564,467,987,961,783,819,582,
014,917,871,938,645,496,709,052,925,466,536,652,617,706,317,744,970,651,177,
465,757,087,117,496,947,240,372,555,104,242,561,822,935,840,905,837,495,919,
401,851,697,919,583,493,247,710,705,523,966,095,131,022,896,981,243,381,576,
247,956,934,855,418,294,907,916,827,602,684,375,293,608,843,612,281,496,464,
933,154,788,034,566,206,042,472,527,476,880,546,586,627,188,528,577,576,811,
285,885,113,991,525,679,784,440,491,761,347,867,468,268,555,329,927,099,570,
058,919,733,996,158,838,062,703,194,779,166,349,180,861,929,459,450,364,547,
964,337,606,339,058,030,333,787,407,921,613,872,085,833,132,518,485,151,197,
859,614,049,114,552,274,444,610,417,640,420,326,746,780,163,760,632,684,282,
308,713,229,583,970,463,128,887,731,823,658,956,029,655,058,801,196,000,331,
250,915,186,662,820,620,893,616,185,212,291,930,913,440,643,662,595,762,407,
626,773,749,241,940,290,377,296,196,831,942,524,789,505,075,962,739,894,961,
416,212,510,003,578,241,602,453,172,945,747,503,084,659,537,496,375,483,556,
688,877,944,276,065,453,286,770,806,332,086,961,745,118,545,018,641,216,519,
967,993,492,543,468,368,014,110,100,901,554,020,761,042,070,178,816,087,999,
835,927,984,359,179,508,021,227,023,340,068,553,129,646,687,018,181,470,404,
535,380,674,797,375,269,340,398,881,599,067,281,602,725,634,582,400,678,688,
884,967,474,632,083,397,865,866,564,412,826,032,409,611,136,503,658,463,711,
998,424,447,527,080,913,153,911,750,069,839,114,788,334,991,267,409,566,192,
649,190,743,639,287,250,866,372,884,742,536,860,032,845,189,531,888,855,764,
231,431,360,265,080,594,399,984,749,171,217,017,759,045,622,702,189,007,610,
628,574,625,801,047,717,137,754,238,473,843,863,074,138,966,061,772,535,542,
708,214,997,192,791,502,891,280,257,278,585,491,272,694,067,747,417,294,336,
765,323,507,051,005,756,571,864,651,832,181,889,547,721,089,737,252,581,696,
681,385,671,735,141,068,628,034,171,056,971,726,185,602,382,409,411,193,123,
830,150,940,432,355,876,358,402,046,575,260,660,366,372,823,110,317,963,425,
018,040,999,737,640,659,726,448,789,769,892,582,041,293,399,791,749,497,599,
759,748,823,756,900,842,300,185,932,443,925,711,831,833,640,328,313,835,008,
320,798,950,988,277,445,876,542,571,466,033,797,664,063,134,109,856,007,433,
185,726,269,180,927,696,707,903,149,892,204,784,869,109,900,848,283,810,822,
656,351,955,250,514,377,058,400,742,447,096,501,239,706,580,082,297,230,081,
994,464,982,383,277,993,163,787,805,264,032,756,977,865,132,313,083,346,958,
509,916,067,003,516,308,535,581,539,279,076,033,445,303,073,739,894,694,894,
338,114,635,830,920,811,401,300,756,382,788,944,266,690,040,881,646,218,857,
881,948,766,420,961,832,529,786,626,880,764,399,471,737,555,061,987,364,385,
021,312,404,293,465,222,036,615,358,453,753,316,176,282,125,780,817,333,160,
980,148,605,774,282,819,674,165,038,256,800,169,808,002,290,206,465,226,451,
713,911,230,217,446,227,234,068,457,506,213,473,088,601,719,722,221,382,015,
577,147,072,942,096,672,535,950,844,203,224,067,293,256,452,068,406,012,249,
317,365,364,062,659,808,415,160,959,009,996,943,173,067,312,063,419,138,922,
395,061,954,262,163,239,520,355,482,687,126,779,343,882,876,006,887,823,323,
086,491,753,856,966,090,033,960,403,317,688,076,796,855,302,262,684,024,353,
745,817,428,528,899,866,327,938,373,576,530,637,178,428,441,163,331,128,961,
383,886,085,494,937,713,391,977,424,600,187,750,531,021,909,088,409,685,830,
430,596,801,881,140,471,123,001,514,240,985,571,895,510,845,939,126,285,876,
945,337,872,573,765,393,191,425,247,517,616,977,415,809,637,421,184,105,135,
294,746,034,312,147,768,235,358,789,239,719,856,355,330,556,973,701,437,398,
119,771,563,008,215,586,287,426,199,024,369,084,723,163,905,657,386,104,790,
354,828,221,056,845,352,739,975,427,888,033,262,790,184,531,077,431,575,147,
535,374,346,376,273,052,185,353,010,235,498,231,572,557,447,144,354,126,688,
231,781,621,972,858,854,150,988,120,780,324,630,036,586,127,741,741,622,156,
306,094,815,855,956,213,673,971,908,818,819,343,786,566,898,432,719,984,438,
352,422,375,927,375,504,383,973,071,876,131,488,061,245,284,763,988,422,964,
405,769,327,740,331,722,599,659,640,489,618,859,870,083,755,023,436,330,643,
281,128,988,902,767,573,190,446,711,272,932,843,430,393,992,108,728,613,113,
039,187,737,009,900,635,054,400,858,341,376,811,642,820,646,448,072,854,555,
563,676,051,196,412,834,255,940,982,382,291,137,698,539,525,647,231,003,233,
167,341,370,325,370,771,742,605,874,404,336,687,794,706,597,061,921,677,548,
464,872,561,835,125,449,098,998,183,706,845,176,619,935,041,765,196,939,998,
084,565,212,068,294,173,142,700,335,044,189,003,263,355,184,338,959,020,026,
586,703,622,261,858,960,195,959,178,778,170,512,749,877,838,421,667,207,804,
704,325,031,934,413,153,029,623,338,446,636,789,048,203,029,897,464,082,397,
642,268,147,819,357,938,060,462,499,518,404,531,275,091,519,430,941,663,385,
890,333,046,485,470,135,223,673,293,151,653,847,237,811,774,906,397,971,778,
133,827,991,322,803,647,520,536,701,461,589,721,301,419,182,826,946,542,769,
770,804,742,687,093,855,235,607,088,307,274,301,311,672,761,526,119,281,133,
116,927,160,091,928,281,400,711,752,591,314,101,098,884,853,994,272,708,737,
689,947,025,944,571,273,572,243,740,658,359,605,298,107,278,925,996,482,035,
578,742,950,775,588,988,057,928,919,242,959,553,039,515,286,489,420,503,430,
546,918,784,183,807,963,059,889,768,789,360,039,026,092,919,163,135,006,859,
066,541,258,402,039,403,025,973,721,300,296,932,390,209,252,879,354,480,895,
525,441,140,179,807,765,642,143,534,591,686,259,152,242,850,485,922,759,277,
722,825,272,561,702,247,226,848,752,537,261,813,422,893,962,028,277,295,454,
443,724,218,214,752,958,051,823,491,879,566,415,043,781,274,304,928,484,434,
213,864,228,083,514,506,245,410,885,748,029,880,639,583,824,380,152,638,574,
166,555,535,405,268,643,499,282,198,217,499,082,713,354,724,295,894,673,291,
143,944,374,565,010,962,233,995,414,703,494,678,898,118,794,200,158,699,183,
458,864,167,240,765,757,605,422,636,976,259,362,549,097,073,672,992,927,863,
004,482,119,268,391,593,757,104,255,097,266,007,725,992,021,689,976,592,369,
942,386,111,182,080,741,270,214,749,948,173,862,357,773,740,573,247,964,554,
911,854,346,142,235,600,061,991,303,549,166,839,016,787,923,094,665,143,796,
194,234,859,697,501,142,517,025,382,081,125,769,082,303,830,749,176,487,038,
859,906,814,531,919,323,053,272,240,474,607,604,562,954,964,049,863,615,460,
779,567,263,948,595,933,518,353,027,969,945,460,065,743,112,885,686,734,872,
812,913,330,916,595,864,375,213,821,927,636,009,198,240,599,866,354,851,759,
461,460,352,177,168,858,242,914,594,403,112,146,746,172,925,616,614,614,906,
247,169,898,696,939,387,658,639,056,423,793,624,721,149,492,404,766,096,091,
399,938,913,613,721,631,010,521,035,769,136,098,554,540,808,667,811,639,016,
814,674,176,460,931,425,440,979,447,324,139,477,600,667,879,197,194,970,031,
989,686,605,519,192,111,704,653,470,974,569,825,350,804,030,112,383,506,141,
756,564,982,123,625,870,811,353,679,924,800,321,008,834,525,716,716,767,804,
700,780,281,605,484,468,813,007,046,818,768,434,412,766,159,884,032,079,520,
247,238,755,950,562,679,269,731,955,969,791,383,052,147,549,571,342,499,920,
301,358,520,273,623,099,351,567,532,982,149,343,333,899,735,066,576,209,897,
609,436,129,870,759,077,447,320,759,292,132,025,178,354,969,675,383,386,908,
932,731,020,331,608,670,771,012,676,637,496,616,287,352,930,864,821,438,377,
772,212,238,203,567,107,947,426,048,952,847,671,266,035,840,891,216,192,721,
713,451,349,045,371,466,216,043,542,406,959,841,577,702,706,973,593,665,898,
231,480,347,166,495,958,321,017,106,014,312,333,994,485,670,956,208,892,170,
874,589,360,655,857,267,438,353,385,135,011,786,575,458,546,163,801,903,131,
874,344,698,856,489,732,843,549,733,145,716,722,906,693,604,060,061,433,594,
231,345,459,883,205,202,067,250,731,776,453,108,100,507,908,914,589,741,763,
404,132,450,504,500,063,194,514,203,569,360,650,577,582,717,325,200,987,420,
578,740,671,562,255,630,501,288,297,267,188,812,537,825,421,062,769,851,481,
447,660,894,155,681,791,628,195,535,114,131,003,300,725,962,424,716,626,427,
947,287,555,890,066,980,026,262,965,483,421,705,904,882,716,984,436,375,191,
624,475,123,460,150,609,231,677,266,088,725,434,694,629,136,268,099,729,027,
706,629,879,067,880,303,374,620,869,299,419,218,290,994,060,660,991,995,490,
793,511,369,052,178,798,385,174,107,152,333,652,395,195,100,885,834,211,671,
927,263,214,343,256,155,195,471,000,399,728,336,091,804,598,589,379,073,285,
014,432,245,564,934,715,092,839,615,708,863,259,568,408,313,875,389,375,876,
176,566,276,822,272,903,596,588,242,558,273,358,611,732,746,572,722,563,434,
560,812,742,588,771,941,593,261,667,443,135,755,160,750,400,956,683,948,622,
019,349,558,178,045,681,551,900,725,187,194,184,944,880,450,811,583,569,174,
636,798,204,878,063,269,802,225,976,062,331,427,816,782,908,444,979,961,520,
788,587,550,454,729,016,656,380,346,422,049,066,190,420,207,113,761,956,016,
344,353,726,820,698,853,414,618,376,167,537,290,763,437,646,101,351,358,231,
665,701,890,330,029,126,568,048,147,805,534,622,005,843,485,883,013,153,747,
935,042,920,951,636,068,859,338,945,681,836,464,842,048,206,157,222,269,526,
137,540,801,266,827,060,363,973,843,443,140,370,283,820,146,985,347,496,861,
173,838,915,429,427,235,184,092,561,441,741,410,904,402,691,892,115,729,446,
598,184,308,803,452,909,502,358,529,627,098,998,348,429,335,754,859,805,680,
886,340,555,624,551,367,234,912,357,395,562,203,246,824,744,735,860,131,140,
408,289,155,271,263,062,768,155,023,628,774,062,700,914,635,569,752,238,664,
634,535,168,200,137,387,401,116,897,773,259,514,215,369,213,748,821,938,983,
560,272,230,247,913,074,498,584,659,954,772,779,289,868,093,551,450,872,661,
625,487,285,696,206,861,536,099,856,436,738,136,327,219,147,373,530,258,667,
704,546,104,034,262,584,279,004,856,350,182,693,151,510,210,636,137,456,734,
566,167,382,666,267,813,094,774,954,682,806,315,954,626,776,268,457,917,876,
154,442,376,143,263,130,472,466,572,983,633,258,521,146,321,787,327,585,591,
326,701,010,658,968,468,085,665,453,082,187,058,762,201,216,482,936,475,132,
361,108,357,728,851,895,775,590,083,577,097,009,223,519,098,564,360,105,544,
115,762,123,080,315,691,824,337,572,319,125,768,873,620,173,926,632,198,114,
695,225,449,567,599,928,812,287,621,474,715,057,340,294,913,258,645,021,947,
014,278,074,029,942,656,786,749,715,833,329,838,089,784,611,117,634,245,106,
489,994,851,609,436,500,917,871,120,751,559,729,345,593,652,873,236,572,650,
055,879,668,596,013,529,868,635,593,008,949,687,690,019,199,737,451,908,706,
419,818,811,522,828,241,577,298,553,964,938,374,006,450,924,785,114,617,440,
672,129,200,744,434,250,007,100,672,972,456,804,795,484,257,088,657,737,710,
024,273,985,137,333,147,120,051,199,108,753,343,910,173,700,312,913,388,975,
798,646,618,356,887,638,759,516,836,758,983,125,415,757,592,105,721,660,475,
595,232,919,193,288,056,151,597,996,684,850,781,418,285,787,480,881,093,490,
340,497,081,302,511,178,056,268,336,792,882,748,192,445,603,841,725,015,976,
010,952,781,270,819,088,589,405,821,433,820,556,194,694,580,831,550,523,720,
803,531,579,444,264,599,930,916,158,485,988,370,300,128,531,972,684,650,915,
869,144,091,551,924,157,311,069,196,629,032,113,176,139,512,626,085,657,976,
263,206,142,979,171,780,555,035,245,205,153,454,828,276,017,211,782,919,968,
495,763,117,229,563,212,657,001,480,632,619,209,780,069,770,352,662,576,540,
796,868,435,695,650,269,519,506,807,294,206,734,174,483,416,004,365,533,131,
776,532,051,031,526,191,016,778,430,403,506,998,029,014,188,601,168,480,709,
474,053,549,445,127,862,422,891,583,293,616,519,797,614,712,180,959,135,684,
500,211,408,107,257,173,420,312,327,907,770,271,510,700,249,058,345,172,241,
478,896,850,243,363,467,349,630,295,319,933,400,613,866,782,730,693,156,514,
567,107,591,846,322,100,895,901,168,394,714,238,014,556,052,031,633,951,481,
008,634,809,080,199,911,132,752,672,528,046,439,609,967,803,478,415,712,275,
011,910,549,557,052,001,488,722,420,406,206,435,230,081,875,199,422,716,262,
113,728,139,414,983,275,622,486,444,338,150,675,831,667,802,123,289,927,033,
201,724,299,890,089,655,972,394,985,726,188,110,825,284,338,412,513,512,392,
991,389,168,349,814,365,328,128,516,862,099,307,328,298,495,428,639,669,258,
015,648,333,943,681,062,709,777,829,685,186,559,241,520,993,305,343,213,948,
604,851,866,956,437,835,045,461,774,776,427,648,794,789,154,221,337,141,208,
318,144,147,309,891,201,831,175,326,299,148,300,869,874,637,454,793,614,494,
136,183,728,730,695,513,265,776,559,642,077,614,350,402,901,129,094,273,182,
354,773,527,891,064,579,996,893,708,085,880,347,519,523,141,419,031,397,008,
407,929,709,234,564,372,448,134,074,842,253,393,616,775,003,997,849,182,756,
196,200,088,383,622,502,665,878,760,098,229,413,303,541,014,537,224,148,993,
475,692,884,183,306,778,409,212,764,243,837,175,735,453,876,765,475,708,062,
673,922,188,683,050,905,908,389,876,829,007,541,931,230,249,392,595,161,321,
468,065,441,482,113,959,625,134,205,782,802,877,401,747,543,780,430,003,935,
966,668,613,974,406,941,214,052,149,451,451,745,785,963,332,720,208,543,956,
307,299,978,579,282,030,860,440,098,665,692,201,125,234,635,857,436,215,752,
805,946,076,351,007,559,795,377,049,333,678,776,545,583,591,132,401,074,479,
639,234,600,647,384,297,935,047,220,738,537,386,649,212,100,543,701,852,195,
815,038,682,147,260,641,951,582,980,307,781,029,975,909,500,848,276,448,876,
071,771,538,909,106,190,403,798,716,987,071,275,187,381,098,295,845,239,314,
933,205,109,904,033,602,001,660,304,127,410,907,052,293,902,214,063,669,690,
522,363,862,552,599,193,893,840,320,246,272,772,137,017,460,290,088,779,449,
341,063,690,115,605,045,503,765,449,183,082,941,218,777,308,219,924,661,722,
826,063,430,117,223,137,081,591,922,884,612,897,441,852,595,166,437,510,232,
069,871,765,092,314,884,584,533,860,116,081,609,884,584,294,524,968,249,766,
078,347,658,204,928,095,707,681,539,131,512,577,783,630,219,209,250,360,902,
011,029,746,934,024,938,292,973,666,415,159,687,758,322,561,101,071,023,338,
987,153,573,826,811,964,018,558,747,398,079,456,205,884,440,266,029,520,676,
255,819,455,150,325,044,966,193,540,843,105,072,517,932,955,674,266,831,515,
469,837,765,274,744,423,294,908,357,644,557,188,772,911,995,033,114,536,730,
145,539,032,695,598,417,958,279,143,673,229,939,245,283,959,805,632,006,405,
811,831,959,030,450,594,517,404,009,435,243,108,638,607,520,217,348,163,838,
773,863,676,166,477,404,247,409,870,896,161,952,190,319,331,325,694,566,560,
865,743,385,253,739,204,285,858,404,987,948,542,031,386,249,631,266,670,436,
855,300,143,136,154,979,535,880,513,006,187,612,105,077,975,582,668,990,049,
403,445,286,061,649,460,335,349,850,172,764,152,721,932,599,190,345,805,748,
670,295,152,205,802,744,027,754,157,180,151,382,858,943,758,921,423,030,359,
157,200,759,521,006,915,901,401,718,796,270,488,281,693,270,003,792,517,847,
066,909,096,142,148,813,021,153,612,280,392,158,210,277,337,395,012,848,922,
882,413,158,058,895,836,729,396,583,024,386,444,701,152,821,509,748,772,152,
494,328,617,540,557,503,312,139,100,954,227,772,288,165,681,342,441,378,252,
365,130,408,768,460,956,041,196,793,149,420,503,829,323,367,836,641,887,330,
159,171,294,039,490,660,283,270,139,504,406,902,872,430,207,888,019,874,574,
803,001,072,131,612,074,755,022,200,197,466,362,387,809,572,063,137,481,667,
620,748,147,134,974,650,650,890,147,672,683,543,791,829,907,312,689,393,912,
620,389,331,497,758,314,963,385,190,762,601,389,557,525,330,071,566,588,989,
927,411,172,213,390,713,700,264,527,144,980,765,824,538,557,095,587,712,989,
081,788,655,089,009,927,950,603,168,619,530,110,752,487,714,723,570,770,040,
359,053,571,809,838,505,799,585,981,198,566,313,255,498,276,432,127,188,468,
139,337,445,619,881,692,746,799,758,513,826,168,592,398,350,849,996,089,193,
663,993,119,627,962,864,337,224,899,392,242,902,754,223,628,342,136,640,241,
064,651,529,440,871,665,373,479,030,532,105,804,148,778,321,893,984,341,379,
787,979,953,765,116,375,759,113,059,772,189,198,339,365,164,203,185,898,619,
723,636,101,547,512,364,548,341,811,970,945,069,451,559,331,756,221,281,506,
716,327,588,518,536,355,187,275,659,702,333,090,870,007,370,327,767,823,492,
037,608,252,453,695,352,765,193,039,148,224,252,271,637,126,056,456,251,405,
635,591,515,303,495,234,755,354,447,844,271,982,413,137,565,352,490,897,469,
723,901,782,621,296,611,763,333,847,861,881,841,331,831,350,374,284,762,791,
218,521,139,666,424,742,476,127,095,675,634,381,760,620,551,464,042,823,777,
801,687,721,332,014,937,486,182,826,203,437,730,276,874,060,860,119,603,469,
519,321,660,808,930,376,627,169,171,046,390,631,977,427,835,154,090,825,356,
359,792,489,840,086,361,180,504,938,464,711,162,191,425,000,713,183,745,663,
112,021,735,510,213,314,722,482,722,334,609,087,761,572,406,568,815,139,317,
550,853,765,758,384,631,343,009,795,520,775,473,440,208,324,636,978,241,697,
290,157,249,336,371,144,955,200,198,057,482,123,322,082,374,606,215,717,592,
841,935,754,761,403,623,189,914,537,425,372,001,481,471,703,573,390,159,048,
975,845,542,709,243,017,328,327,273,866,424,886,874,560,317,747,027,602,132,
370,642,325,431,576,885,358,108,895,889,366,178,412,101,215,031,923,081,788,
814,410,641,143,412,378,940,740,810,550,738,997,301,870,655,893,643,233,884,
884,901,920,849,763,386,633,110,363,606,773,842,733,654,662,993,050,517,284,
566,507,635,890,964,108,033,524,428,878,848,415,499,811,433,004,013,938,153,
952,036,188,602,132,093,927,411,102,404,479,001,758,755,503,004,205,916,778,
760,836,713,350,029,629,620,656,190,984,315,080,995,978,252,669,423,305,081,
042,077,045,729,002,320,946,715,869,328,870,473,482,175,136,430,940,742,582,
990,083,693,307,346,169,257,701,728,074,584,387,980,083,384,211,626,580,743,
416,705,381,381,739,995,128,047,315,524,951,304,498,694,078,702,281,971,099,
889,197,108,185,155,363,875,118,907,245,540,412,531,616,506,458,363,051,576,
244,847,163,009,223,910,630,868,351,453,670,420,764,948,202,687,260,420,906,
533,959,762,255,483,228,792,701,671,329,935,772,745,008,547,528,339,507,037,
029,012,656,635,475,041,557,250,247,411,115,249,336,726,056,225,624,080,878,
048,375,708,929,735,456,295,867,011,163,183,531,035,700,093,570,330,659,332,
966,291,891,362,846,544,968,772,020,809,645,342,268,975,262,685,570,659,665,
842,573,491,948,528,542,367,346,648,499,373,693,300,089,414,881,336,972,283,
800,846,296,189,209,794,189,791,437,342,168,833,960,873,328,083,924,173,587,
476,803,434,840,404,824,669,079,718,523,534,415,473,737,281,107,112,930,090,
802,612,405,908,906,553,904,279,149,782,239,923,100,501,124,352,396,589,372,
626,188,877,163,054,191,761,333,844,451,193,002,205,987,139,979,332,179,630,
071,811,737,369,785,571,511,170,562,017,880,657,485,689,529,422,144,407,536,
862,456,938,178,848,169,541,514,238,277,462,944,916,618,987,816,291,647,731,
903,820,864,356,881,583,158,752,395,403,978,250,752,249,763,100,100,420,342,
604,885,960,446,104,355,340,683,290,890,503,994,290,311,350,854,906,090,198,
705,791,032,001,092,989,426,790,223,624,396,798,579,497,114,284,396,598,429,
751,911,656,824,546,074,060,049,409,820,511,180,597,062,501,918,631,048,772,
756,266,581,278,843,907,674,510,918,169,044,491,084,553,443,422,616,715,948,
826,312,050,568,742,386,274,538,807,342,215,984,782,442,433,310,737,653,110,
552,876,720,261,151,579,786,283,982,003,950,120,722,144,630,842,378,875,440,
160,906,783,552,872,498,543,549,816,903,033,502,796,853,445,587,931,886,394,
652,434,324,032,975,410,440,029,131,447,145,787,849,710,741,943,192,283,406,
518,747,780,392,518,998,259,785,367,776,080,693,148,962,792,901,847,040,785,
307,473,131,714,620,840,279,461,808,352,864,726,050,285,746,094,958,980,794,
035,341,751,074,942,184,512,565,692,461,095,230,099,501,102,064,210,938,975,
788,373,560,192,027,146,219,071,115,950,501,796,483,219,676,782,278,852,349,
530,802,678,140,272,871,795,266,946,473,734,230,524,205,349,216,293,683,832,
711,071,472,602,741,037,606,801,575,620,322,452,872,272,559,148,099,935,033,
897,519,711,012,449,211,248,089,950,266,944,118,585,591,583,296,980,093,690,
058,615,223,512,240,794,834,000,565,060,971,358,570,961,744,646,711,599,647,
738,735,542,207,292,259,278,768,382,195,027,724,653,923,356,136,669,866,959,
971,540,257,348,247,859,911,927,385,127,762,110,524,882,814,292,065,008,993,
438,630,563,227,455,375,519,110,467,461,545,782,395,047,339,321,848,340,044,
128,895,943,285,094,675,411,163,605,509,574,868,199,387,375,059,076,788,672,
652,105,797,753,382,698,166,009,715,614,799,541,489,257,421,884,521,189,554,
733,298,762,641,902,323,846,127,013,154,464,596,634,677,985,751,651,823,988,
787,316,012,575,262,805,298,351,261,709,177,944,519,279,073,381,837,818,990,
052,763,848,539,885,483,498,303,522,569,669,437,285,320,410,413,355,494,432,
004,460,133,619,709,792,237,113,173,846,362,166,385,535,557,448,451,447,009,
720,025,636,358,141,299,845,030,442,785,020,505,277,021,014,744,171,273,557,
408,889,116,248,659,136,569,191,650,885,242,366,808,873,214,899,212,086,038,
105,102,029,848,031,126,902,068,925,360,005,131,243,406,932,799,718,381,049,
205,209,758,307,132,724,967,276,737,266,127,510,310,798,178,964,005,552,170,
766,518,665,117,917,413,465,881,023,074,922,987,320,335,501,394,676,953,970,
355,150,604,125,611,967,914,107,770,194,245,849,854,357,318,584,085,817,367,
342,874,245,633,825,033,890,333,904,314,774,826,005,439,186,339,758,073,317,
325,495,381,955,194,208,284,082,412,260,500,713,395,587,178,792,926,714,580,
933,266,124,061,184,311,709,472,600,878,176,795,423,969,347,581,548,731,834,
792,047,229,397,578,285,040,732,043,435,809,327,342,398,280,222,200,138,943,
982,425,223,779,092,575,001,785,564,900,575,653,610,833,568,032,982,511,701,
273,806,928,465,289,464,961,259,671,461,745,787,001,989,755,569,750,911,435,
819,760,398,301,050,687,378,722,633,501,971,310,375,219,383,297,137,656,831,
590,103,777,332,421,001,431,890,439,835,278,602,035,606,326,566,418,750,921,
969,523,016,324,552,992,025,323,342,444,128,654,854,903,575,668,887,830,176,
282,028,243,313,758,156,027,135,919,253,493,692,725,443,576,258,835,555,761,
657,982,288,705,860,919,203,872,222,493,743,241,616,063,163,397,404,588,837,
578,205,077,790,459,397,045,350,637,425,997,527,193,089,066,388,512,037,172,
467,612,207,599,120,174,271,259,982,579,202,428,537,863,552,208,552,030,334,
024,339,648,189,291,720,973,066,326,944,956,007,278,434,376,451,918,721,752,
903,032,352,612,624,066,256,221,720,223,538,345,227,357,702,270,484,997,878,
115,547,679,857,825,354,625,559,315,148,168,598,657,909,797,434,632,152,990,
120,713,385,012,488,770,332,096,590,840,293,029,860,593,670,592,029,709,334,
500,851,414,061,320,834,944,398,193,363,589,321,723,763,754,823,777,590,593,
155,248,418,585,656,625,453,164,092,942,733,136,395,100,445,076,612,352,956,
488,296,900,735,575,173,005,442,046,522,800,569,773,483,313,393,262,070,052,
079,382,933,390,632,663,610,068,101,331,809,745,527,917,908,236,156,968,516,
058,693,266,260,772,652,631,611,196,249,682,793,802,194,077,064,062,727,707,
748,721,032,984,164,288,847,606,430,326,465,243,942,808,650,733,710,793,953,
039,645,397,283,506,003,165,145,834,107,782,881,864,123,661,072,182,415,580,
301,891,612,848,757,916,622,328,396,430,313,787,677,011,549,347,771,739,549,
159,166,828,863,771,370,603,753,156,159,967,903,033,472,116,524,953,816,664,
700,295,360,333,441,512,379,980,111,736,160,401,360,319,390,284,556,658,495,
178,360,798,669,645,167,911,706,594,975,074,425,901,842,883,576,387,205,775,
988,118,358,794,902,736,940,132,560,931,039,125,835,257,278,993,121,979,055,
546,571,355,200,021,827,761,671,479,428,389,065,920,169,664,914,659,149,506,
586,283,435,330,590,988,292,359,865,637,993,422,972,079,550,120,960,307,283,
512,656,864,646,643,643,463,402,203,437,518,366,412,044,711,099,119,320,980,
701,959,295,596,926,208,442,736,513,876,317,932,318,702,870,393,161,417,500,
001,521,864,524,928,785,781,566,247,122,120,183,926,941,006,748,258,975,141,
341,318,642,424,459,246,796,226,679,188,416,318,472,456,460,515,076,963,991,
506,574,431,180,013,376,511,311,205,655,836,219,353,150,658,534,532,537,198,
164,809,923,672,267,708,196,659,080,230,612,408,610,729,764,802,766,214,771,
423,318,013,301,549,001,057,179,472,802,661,362,265,605,580,747,189,889,648,
676,081,884,798,195,577,741,607,532,790,232,569,557,250,258,843,940,834,285,
068,095,228,950,922,940,897,613,383,011,072,985,402,794,063,994,106,749,406,
915,807,859,364,206,800,809,119,988,699,170,984,719,383,508,838,855,186,677,
340,514,719,294,528,920,702,644,142,108,827,928,929,706,853,197,917,529,555,
961,070,328,081,687,453,484,942,691,627,024,722,601,825,849,565,930,422,900,
580,781,322,077,121,979,963,973,897,936,825,596,280,933,740,387,605,981,658,
013,387,856,774,327,570,737,288,121,005,820,542,256,457,877,998,424,437,879,
436,193,080,048,358,968,411,191,678,451,178,425,021,752,336,968,970,310,227,
251,083,117,261,809,378,530,759,907,987,688,719,342,608,355,822,547,882,059,
398,516,336,626,701,374,966,461,373,469,011,516,644,050,752,314,423,051,528,
112,847,469,666,685,802,575,378,270,956,070,402,847,267,781,676,209,681,008,
200,789,878,355,859,281,028,822,865,968,521,916,419,761,937,670,752,311,679,
311,197,726,290,043,009,936,240,151,946,804,000,199,377,162,317,192,492,900,
638,168,640,989,891,379,377,094,344,183,845,327,096,184,365,030,590,847,871,
517,277,555,936,947,918,453,405,222,042,655,616,023,437,738,265,381,877,158,
777,350,592,834,273,858,499,452,361,949,573,341,531,250,785,321,713,568,097,
733,829,146,072,186,750,221,310,831,365,563,795,157,871,381,629,597,426,313,
492,463,850,631,379,558,475,331,918,520,736,829,595,777,630,735,499,055,234,
790,611,443,802,560,438,889,315,981,836,517,379,794,165,436,306,734,135,599,
411,702,241,287,624,097,366,127,728,236,577,008,936,410,984,414,002,715,262,
278,637,247,893,587,906,954,230,681,963,560,757,322,262,287,912,704,620,735,
151,367,161,705,171,374,120,604,581,964,792,988,995,861,343,872,769,273,502,
160,314,967,229,960,799,642,125,010,484,914,588,234,491,690,077,468,625,199,
645,851,993,561,807,022,401,651,096,333,660,880,149,342,687,942,762,538,217,
268,306,471,381,397,954,746,666,334,901,940,888,910,508,129,146,700,371,009,
453,047,030,103,715,980,963,372,856,702,402,078,123,171,019,526,463,173,550,
506,817,902,829,024,525,829,010,989,844,471,255,268,737,490,953,987,233,207,
027,922,304,889,935,489,878,006,213,944,045,329,712,571,129,885,639,834,562,
886,265,078,517,137,395,897,428,207,989,013,877,661,704,815,146,899,171,359,
341,457,399,356,371,965,031,938,770,372,258,688,475,247,750,409,114,319,330,
181,258,205,399,820,522,551,924,742,206,431,235,048,224,245,457,348,760,732,
981,489,611,738,727,033,153,508,831,489,494,271,362,254,243,364,014,035,171,
556,038,138,628,069,428,920,299,683,386,959,347,733,078,968,931,547,861,005,
370,293,441,827,197,146,818,217,631,808,224,088,911,006,861,409,933,124,275,
381,395,629,911,070,935,584,026,274,969,070,550,453,870,172,331,744,315,241,
593,607,334,487,858,052,591,497,034,773,221,861,489,076,323,478,603,700,708,
679,056,706,501,509,884,587,622,722,689,812,728,938,207,131,768,662,097,474,
095,914,478,773,376,852,344,722,149,082,410,745,966,884,320,321,673,404,020,
791,668,774,445,714,929,357,566,922,970,839,563,819,377,288,191,424,255,590,
275,462,572,468,150,002,321,589,817,282,581,463,109,087,420,521,833,026,941,
210,624,875,238,984,741,576,365,104,540,340,448,152,890,793,994,341,167,632,
458,876,950,414,352,765,800,539,284,995,703,928,191,083,699,260,572,919,301,
988,335,346,659,425,843,500,322,861,660,909,508,959,017,378,745,200,105,601,
187,973,960,851,257,154,753,065,765,790,547,899,302,668,465,238,815,263,479,
555,325,917,898,061,866,976,187,514,063,988,123,990,187,704,136,403,266,438,
444,379,374,999,668,173,201,154,051,319,517,278,982,080,909,256,481,997,167,
205,986,676,752,805,878,339,707,595,884,287,285,120,627,719,689,519,803,210,
489,939,771,902,722,368,518,150,914,370,710,084,798,656,052,711,214,374,743,
142,337,818,532,519,254,854,538,428,700,433,601,477,905,180,630,706,742,952,
137,118,239,064,420,756,580,051,698,744,110,921,626,925,256,923,070,488,160,
859,968,919,690,814,074,406,051,905,279,893,789,912,443,978,882,137,298,131,
105,239,692,410,534,467,356,295,461,664,731,437,050,452,358,986,467,114,069,
096,843,977,916,433,971,265,193,144,436,961,821,874,821,062,665,944,498,471,
765,984,167,626,560,977,263,830,451,921,360,418,548,597,758,958,740,767,277,
260,834,319,840,222,439,561,990,198,452,844,775,936,665,539,317,631,010,963,
113,957,367,165,262,460,718,814,444,894,884,213,370,264,395,390,582,106,725,
644,485,607,189,240,504,450,305,450,834,861,196,157,659,433,590,578,885,427,
912,402,576,772,221,265,498,035,181,250,324,469,384,292,789,763,091,899,591,
314,925,589,223,473,764,766,156,499,847,518,177,583,666,530,564,006,659,156,
966,210,950,672,386,075,746,846,243,145,472,042,081,560,751,514,484,672,555,
584,696,145,679,188,690,920,124,426,331,322,717,231,086,137,692,685,394,967,
950,695,567,339,326,588,931,343,271,359,742,345,206,396,359,863,834,402,718,
280,863,084,167,970,567,867,246,914,805,978,354,876,679,739,265,905,259,892,
394,707,388,738,853,160,052,657,546,482,326,551,789,630,619,566,811,496,314,
834,899,882,323,359,039,013,236,946,842,475,450,950,498,312,261,938,020,976,
568,131,534,342,613,069,173,084,134,180,246,487,959,296,587,896,465,261,465,
968,627,289,710,279,125,679,963,491,424,046,347,571,614,447,980,947,303,638,
618,674,538,357,477,623,591,249,330,035,154,902,917,675,451,474,060,821,036,
622,657,582,542,163,003,605,673,447,863,145,428,974,577,764,116,061,961,749,
973,127,003,690,160,398,317,279,581,962,233,386,431,150,614,128,792,000,012,
092,677,302,375,485,670,521,413,548,407,827,087,834,324,527,002,749,224,771,
221,565,536,419,187,693,515,055,139,115,999,410,862,188,315,081,911,805,150,
976,801,626,818,915,140,151,449,025,730,021,558,962,247,070,776,573,801,275,
563,011,506,020,275,337,922,582,842,938,933,945,099,997,257,755,907,094,268,
279,218,003,656,893,087,131,971,169,495,043,921,955,656,140,684,823,238,133,
201,027,211,507,038,390,846,292,923,560,280,048,998,840,527,244,007,954,505,
786,808,539,467,571,281,357,611,714,939,911,389,797,315,025,092,943,297,442,
691,310,067,143,070,284,124,126,305,891,918,137,036,167,424,083,318,785,228,
638,950,477,010,563,731,013,784,462,246,854,691,917,806,299,263,243,811,649,
253,587,681,548,067,276,514,547,852,579,034,702,199,523,743,737,223,373,286,
573,668,243,438,682,074,165,949,814,610,549,738,297,559,207,273,531,941,233,
229,234,124,599,691,529,878,163,471,584,514,566,368,693,979,245,549,891,385,
904,815,814,868,245,194,812,584,037,613,619,435,690,886,077,136,678,356,522,
441,482,620,987,360,254,909,889,948,628,523,200,865,616,059,221,674,628,806,
292,243,592,611,189,341,592,657,211,733,003,178,671,299,528,090,140,123,729,
336,464,917,976,672,268,916,438,694,874,238,761,020,428,080,593,445,776,586,
875,731,556,885,363,795,369,406,147,005,544,426,975,111,622,023,945,128,029,
432,070,622,967,443,560,574,855,277,675,478,060,004,816,840,474,614,211,481,
406,188,486,284,312,614,242,954,046,963,218,753,095,729,701,745,128,038,751,
519,873,295,770,933,562,681,176,752,431,386,722,259,502,495,967,587,173,951,
630,396,914,911,371,334,509,648,323,935,664,525,701,266,474,748,177,970,261,
888,707,404,116,689,186,620,852,728,514,583,812,877,477,674,465,776,545,160,
362,142,400,238,017,092,150,330,463,501,390,213,963,472,625,934,505,030,106,
519,046,411,609,610,934,478,561,402,807,861,222,866,073,871,618,184,066,071,
565,951,929,627,760,655,628,258,202,402,397,356,551,591,538,527,841,426,562,
225,395,229,173,602,420,608,161,005,248,598,901,552,043,257,984,027,521,629,
780,240,842,202,094,373,655,499,511,301,659,007,866,487,273,205,350,970,750,
140,306,062,857,660,043,336,896,158,368,218,553,971,790,215,477,082,468,436,
142,242,696,312,117,362,236,446,540,820,255,771,517,118,137,597,438,135,189,
612,305,545,803,786,291,198,516,293,170,344,231,370,431,776,866,812,093,621,
502,157,874,747,265,057,857,363,024,616,509,436,308,441,089,750,296,209,227,
913,259,330,372,657,668,849,419,465,997,780,940,391,324,451,261,235,944,613,
881,468,355,658,522,946,366,265,549,964,843,943,685,629,124,477,723,515,755,
857,601,136,417,655,028,271,975,409,181,045,740,734,213,277,332,833,913,660,
300,894,449,763,308,141,932,139,660,681,980,618,780,041,182,704,280,435,663,
125,214,554,479,107,895,176,109,962,869,649,176,776,297,037,721,009,018,224,
349,996,352,031,346,416,523,226,317,111,174,116,234,177,091,063,725,622,433,
603,936,715,343,824,991,169,791,834,769,399,001,812,162,598,786,855,654,335,
896,287,115,502,561,824,489,226,253,580,042,124,997,961,051,236,757,588,044,
369,204,979,800,578,763,570,765,571,186,051,152,243,766,503,627,235,318,004,
416,960,940,020,283,580,695,326,746,260,156,649,952,767,010,589,516,774,266,
571,045,095,769,992,646,123,270,149,046,933,325,091,960,403,081,132,745,822,
272,332,308,033,912,163,365,238,335,131,809,821,264,056,102,674,843,806,941,
661,468,216,655,569,779,590,333,164,950,125,704,556,194,301,916,308,750,252,
882,881,514,841,495,390,356,616,779,465,036,163,246,456,741,321,646,244,294,
668,055,478,173,919,165,248,160,885,778,139,538,039,506,179,411,881,647,474,
944,935,075,383,025,955,493,181,762,678,612,444,299,681,362,331,172,263,959,
431,490,642,871,290,867,862,117,366,696,157,015,834,528,451,084,629,475,187,
156,828,781,837,919,515,565,209,704,391,487,149,926,400,632,988,444,003,267,
992,218,519,259,864,989,146,230,646,881,304,528,619,814,102,483,664,744,024,
395,760,350,181,843,429,826,662,492,027,193,800,206,000,411,695,026,765,324,
486,145,859,235,222,291,846,827,080,495,734,912,062,799,259,319,005,866,545,
692,118,687,545,055,386,810,418,324,123,325,715,105,766,313,610,568,941,930,
296,566,290,780,372,469,512,979,182,109,493,929,793,782,237,917,113,993,168,
406,149,628,893,559,934,760,036,138,602,508,790,158,641,820,741,786,934,589,
378,459,165,334,119,206,058,351,263,717,614,737,653,435,106,408,908,824,017,
848,511,951,449,929,755,972,605,475,382,161,537,242,393,626,897,512,553,330,
737,661,638,593,333,288,708,799,896,030,098,041,234,051,215,518,715,534,654,
115,319,363,784,708,741,384,203,768,462,161,915,805,857,175,834,389,274,056,
247,923,852,281,183,933,706,769,282,339,364,860,249,077,262,716,979,482,359,
952,191,759,187,598,769,131,509,980,712,412,503,313,874,678,203,703,737,329,
227,332,949,163,322,945,106,202,468,475,257,149,151,738,348,079,885,215,252,
712,858,991,674,987,422,243,927,757,627,768,207,192,064,775,372,186,252,899,
184,485,081,095,401,918,107,991,636,664,010,992,099,061,937,015,838,320,867,
706,174,214,669,162,838,923,084,376,023,240,557,999,922,312,547,207,752,822,
204,154,415,910,278,753,562,653,116,446,674,196,593,267,207,798,508,857,334,
015,319,806,052,487,752,575,597,830,064,281,767,777,569,993,766,058,850,987,
260,623,564,582,517,293,707,028,555,214,816,672,269,797,801,572,633,576,455,
471,863,672,282,846,355,199,596,577,012,383,417,091,545,397,432,905,481,316,
865,402,261,658,645,848,347,722,987,187,066,844,306,345,366,574,849,467,811,
028,615,130,374,123,041,321,935,419,295,569,070,195,383,507,581,111,616,410,
543,311,831,055,233,676,245,066,525,983,053,079,296,700,624,689,100,583,048,
586,627,932,303,402,531,209,115,694,910,281,866,549,032,034,998,784,422,175,
992,454,723,547,391,938,781,488,187,138,511,560,223,484,537,811,957,560,816,
196,980,337,002,684,071,804,824,284,633,100,978,221,475,425,372,879,111,495,
897,528,037,174,501,378,018,851,522,710,134,975,916,844,319,459,619,958,359,
640,879,955,017,244,924,593,272,997,173,616,663,382,351,501,293,425,016,806,
920,411,327,752,650,465,185,616,467,605,090,426,645,640,641,479,565,295,571,
223,324,949,125,363,772,707,157,388,633,971,779,969,998,374,327,495,626,460,
057,013,824,306,237,516,339,829,770,435,426,291,955,291,425,537,021,814,640,
806,040,216,555,462,769,825,487,194,421,966,661,927,231,114,016,210,269,611,
257,286,188,285,139,640,282,100,671,434,989,682,574,208,805,463,095,797,424,
374,363,402,013,960,906,513,876,596,755,629,896,884,167,548,765,068,074,589,
166,743,031,591,074,818,082,958,999,397,336,647,374,597,901,784,383,209,907,
548,871,159,623,724,843,802,464,210,282,965,225,141,173,354,582,117,559,838,
459,060,106,064,586,260,621,306,711,262,016,886,322,106,085,078,054,411,697,
421,526,824,190,854,360,439,307,550,983,601,394,380,580,125,106,193,964,701,
070,273,866,871,434,160,988,197,253,301,817,457,568,201,472,076,058,142,110,
092,602,480,621,098,627,193,320,855,681,436,933,142,904,476,084,747,749,066,
445,601,063,939,099,219,166,298,313,080,850,891,978,673,728,133,297,727,302,
389,065,795,391,857,445,971,858,736,372,280,232,861,382,142,953,648,334,698,
195,457,054,111,212,292,611,023,444,292,281,831,020,815,650,540,693,064,389,
089,102,155,971,347,684,452,749,098,952,045,202,416,575,029,937,658,248,373,
725,606,839,593,621,897,565,766,910,636,733,230,843,099,752,610,928,627,605,
217,661,943,103,567,232,621,417,119,763,976,918,244,087,268,709,601,067,580,
495,134,187,446,575,758,868,070,729,153,845,293,791,659,051,747,298,772,233,
051,445,086,387,759,587,633,576,235,954,266,150,905,449,839,246,148,386,034,
343,786,951,047,466,747,734,234,970,421,567,982,156,911,581,961,990,617,140,
200,947,854,240,735,304,938,858,795,749,223,880,010,793,570,172,238,300,196,
532,262,325,771,805,218,000,303,771,688,760,567,208,508,560,611,443,687,843,
334,744,762,577,991,976,007,993,129,650,098,518,913,389,917,328,252,958,779,
071,766,043,464,219,417,532,352,461,739,781,419,394,358,992,679,987,071,011,
074,406,868,442,953,839,185,272,796,742,476,244,652,168,960,122,328,861,846,
086,301,925,567,310,111,205,574,645,094,761,919,001,697,792,000,043,325,431,
141,730,459,342,975,619,075,590,367,330,780,789,041,227,252,168,420,090,854,
377,463,997,457,360,404,365,378,079,376,272,280,613,971,245,648,198,896,573,
428,001,411,954,004,036,184,814,987,246,211,872,570,717,406,282,884,344,008,
536,037,236,415,558,715,984,723,538,431,045,771,770,881,559,310,578,913,011,
148,282,816,302,329,351,666,080,602,505,637,413,271,284,581,165,705,393,865,
758,174,076,811,945,505,370,468,144,448,531,667,931,970,248,255,752,665,895,
598,324,377,933,156,100,561,256,129,768,585,053,043,282,095,280,268,611,388,
127,144,381,008,128,099,989,642,067,836,405,781,373,380,352,879,486,058,699,
725,071,929,103,479,471,381,287,894,654,448,996,638,485,238,783,048,302,363,
900,260,332,078,743,024,978,283,661,515,182,528,518,127,649,416,759,985,844,
169,991,652,790,563,451,077,494,866,685,545,021,315,741,046,309,153,535,784,
743,192,076,513,029,461,723,361,012,581,199,348,586,619,942,404,263,614,192,
568,711,899,638,585,860,503,076,600,600,527,703,291,709,378,798,042,362,681,
420,146,108,917,400,144,587,671,929,896,513,606,520,962,790,956,889,924,307,
121,275,762,530,475,183,409,724,309,484,289,944,661,061,964,408,974,728,167,
790,753,666,625,605,590,918,647,068,683,068,074,843,436,231,505,341,219,353,
783,070,480,401,424,832,228,016,926,701,693,645,257,978,042,850,678,521,032,
205,022,184,939,171,770,305,368,896,269,818,245,379,383,787,672,487,875,585,
558,481,860,373,525,630,899,318,065,283,999,185,818,010,206,192,988,038,743,
530,856,780,811,372,617,903,469,635,243,196,141,682,930,515,270,924,699,230,
421,273,535,206,505,823,779,379,501,467,736,706,244,506,263,910,256,052,866,
909,728,575,670,126,703,644,848,366,728,709,083,924,799,777,447,065,163,932,
787,480,665,898,167,315,733,481,486,532,058,586,676,505,310,033,549,169,896,
158,772,406,332,359,182,672,858,054,033,066,671,872,820,204,556,567,383,673,
839,181,266,382,230,702,001,890,359,453,606,056,809,960,674,674,852,957,157,
175,800,768,291,919,625,572,954,888,597,792,266,766,796,343,601,246,297,416,
563,417,552,210,006,542,595,179,234,509,157,157,205,972,831,408,151,145,875,
586,657,448,267,071,866,963,670,375,962,818,760,365,198,500,545,936,425,729,
819,842,810,227,001,131,662,901,092,971,174,605,282,535,849,338,867,293,193,
880,742,470,174,208,113,644,800,670,563,102,384,667,573,680,160,390,482,770,
565,218,864,117,270,613,044,933,550,947,025,727,179,460,356,071,708,956,104,
824,535,908,574,821,141,164,037,724,711,417,006,196,694,265,538,769,591,967,
675,204,623,489,359,331,080,021,824,989,599,876,045,181,891,119,915,221,428,
465,343,119,873,887,323,554,118,007,625,702,515,539,351,563,589,473,617,177,
636,445,933,480,985,733,824,154,688,111,129,982,651,565,780,676,536,395,219,
211,846,668,031,632,993,118,118,744,452,356,464,661,853,122,706,833,609,691,
254,443,999,506,264,854,447,877,377,137,686,220,734,256,174,437,762,395,313,
817,887,298,924,665,472,783,267,092,458,177,050,915,278,102,745,072,937,977,
759,894,397,499,130,176,057,131,586,487,358,259,850,058,891,811,755,284,262,
813,275,899,142,626,448,770,926,166,066,935,421,942,057,326,943,342,009,996,
534,726,061,091,975,333,833,798,448,044,954,306,942,735,811,451,924,367,914,
493,953,999,781,530,047,235,724,634,947,738,954,335,385,540,169,119,933,826,
591,137,828,605,864,585,019,524,301,043,805,549,763,768,838,672,159,210,886,
415,892,664,886,032,529,773,475,654,251,900,780,895,991,095,247,999,201,979,
727,646,890,296,431,576,325,151,483,309,480,900,203,538,311,373,235,263,956,
699,826,484,360,916,559,352,660,889,186,724,223,664,997,129,130,975,358,780,
083,083,007,197,480,898,331,385,814,130,461,818,164,300,155,107,381,829,345,
682,960,767,481,275,834,137,090,284,470,503,812,395,678,681,348,122,827,654,
563,174,632,275,385,777,411,441,763,635,993,344,783,321,170,851,129,680,468,
235,585,923,687,285,835,416,032,910,828,197,263,684,430,836,856,521,728,761,
516,659,990,337,764,599,707,101,422,599,962,725,068,133,561,197,431,645,342,
727,591,479,783,215,561,475,530,769,904,098,447,163,188,426,060,640,848,977,
471,021,175,563,799,896,998,155,632,376,459,318,619,857,668,476,286,589,636,
725,523,362,727,342,863,347,925,068,778,748,542,977,746,402,895,392,987,297,
236,926,912,483,800,657,962,525,729,856,023,132,221,972,901,298,890,145,344,
979,160,951,675,816,866,239,310,022,146,276,731,321,087,607,029,367,444,498,
548,766,055,061,554,234,421,561,050,589,657,468,671,123,476,690,486,354,622,
392,175,819,073,565,009,396,224,964,813,177,206,014,289,509,738,223,430,085,
887,369,653,208,358,479,258,241,896,097,586,987,602,130,848,139,810,851,457,
138,494,507,218,103,179,185,783,099,660,485,193,635,397,450,770,844,115,189,
910,063,508,489,180,874,911,259,974,185,203,370,936,819,588,423,205,790,713,
439,479,949,412,339,533,874,426,412,123,051,012,260,105,466,488,341,690,886,
311,123,329,068,081,208,224,198,150,764,996,229,642,353,429,113,916,864,724,
833,009,590,217,264,336,181,229,078,537,440,175,463,292,820,800,121,865,327,
278,281,687,392,061,947,814,861,624,048,994,839,295,553,241,676,245,474,353,
202,935,493,412,798,162,991,505,894,567,109,372,081,270,814,959,194,457,330,
261,238,115,194,019,660,060,555,281,703,836,927,125,927,986,922,279,883,815,
996,020,339,004,648,892,376,141,484,176,626,655,568,605,353,502,869,946,059,
614,494,405,446,633,013,669,758,546,987,228,868,819,772,674,033,753,934,332,
056,684,166,935,064,513,668,436,061,609,735,150,581,716,839,701,388,055,581,
191,518,797,696,152,335,182,167,449,491,232,389,484,337,901,388,581,743,556,
372,892,036,286,307,750,292,118,059,242,566,318,268,248,087,204,810,868,107,
030,822,473,958,661,290,370,544,016,423,250,549,295,654,469,593,703,626,599,
473,150,285,557,862,580,963,889,188,672,223,097,304,671,894,293,432,901,588,
794,201,440,158,430,856,570,228,615,321,301,594,282,390,535,982,722,889,306,
373,305,106,424,281,457,781,320,447,195,125,766,978,903,024,582,138,800,773,
778,633,614,920,068,702,217,250,451,196,858,514,414,973,636,622,007,438,053,
906,965,946,980,070,848,654,944,405,192,226,491,633,657,178,352,248,651,471,
534,494,883,960,022,638,650,897,887,914,176,913,649,063,136,618,498,780,134,
258,541,218,182,129,156,020,723,796,479,682,410,147,869,913,027,780,884,777,
932,322,146,083,829,311,097,009,696,003,343,725,442,897,890,737,241,609,147,
055,443,188,445,848,803,829,869,202,891,657,488,941,086,283,694,837,200,523,
764,078,447,015,058,064,961,155,431,697,221,110,545,124,603,240,039,737,442,
371,290,273,437,452,671,883,027,904,210,867,342,835,363,766,594,453,724,559,
290,948,183,067,432,923,545,657,563,478,400,543,900,212,732,410,248,332,958,
988,470,172,902,806,763,352,213,957,925,077,123,674,149,540,204,628,118,526,
260,283,614,780,373,171,930,591,111,205,974,924,224,118,528,360,944,548,307,
363,727,826,009,724,274,511,639,866,752,967,769,627,001,843,097,556,689,674,
287,774,854,132,547,027,520,127,756,065,871,568,591,369,199,794,291,493,265,
557,880,575,158,155,614,711,096,674,007,630,748,155,197,809,934,355,350,122,
268,801,761,374,086,992,323,666,910,761,247,117,933,713,123,152,820,642,406,
246,324,262,909,533,360,965,877,021,192,254,273,077,529,596,933,420,407,163,
312,752,357,659,158,243,529,943,900,490,822,622,185,947,880,713,989,095,754,
404,105,755,222,423,049,024,234,184,379,914,010,258,243,584,044,755,934,968,
196,622,013,706,550,040,146,617,484,383,754,870,086,874,658,079,179,057,939,
769,121,552,138,486,824,947,700,051,014,051,501,919,002,234,092,614,878,663,
660,660,258,885,937,607,882,868,215,413,436,767,009,495,826,157,021,454,795,
774,535,877,323,199,642,943,567,567,035,879,938,541,263,419,336,202,363,215,
827,009,419,885,246,139,474,325,676,506,406,117,918,756,200,121,511,833,888,
942,723,552,422,451,632,774,595,250,157,245,351,801,748,276,213,209,026,986,
320,837,642,731,601,435,331,775,247,274,023,352,709,884,847,801,148,046,629,
760,383,753,368,947,882,190,688,088,560,138,164,030,481,328,775,009,278,380,
611,073,131,354,582,184,566,560,655,615,915,517,608,791,908,495,731,121,544,
370,914,127,624,849,791,872,239,743,103,023,003,585,317,542,603,931,840,680,
244,634,378,772,768,508,231,268,542,080,711,070,773,378,590,505,577,174,497,
396,317,809,014,206,048,594,365,480,657,129,225,049,756,926,491,927,137,990,
111,930,001,835,061,235,950,698,526,300,066,384,939,688,502,549,357,450,467,
737,817,816,056,445,370,473,635,632,885,918,659,583,287,791,877,092,174,864,
535,024,288,383,469,307,473,155,939,936,351,451,005,717,806,742,940,579,127,
226,157,486,370,419,642,992,046,388,759,717,967,415,046,320,508,029,356,416,
595,011,577,802,469,722,742,568,410,257,772,006,081,637,818,829,725,424,655,
198,546,751,890,381,000,607,351,182,435,764,122,283,765,789,109,756,505,277,
973,123,084,269,646,028,190,098,098,356,872,817,471,936,673,689,078,226,557,
236,342,844,444,527,804,807,108,637,245,844,977,407,962,272,508,223,154,032,
981,430,662,144,890,882,758,710,288,353,569,227,376,890,955,628,582,028,409,
024,035,011,551,565,247,745,182,521,407,855,232,561,944,060,619,142,412,850,
428,313,844,907,801,397,752,826,137,533,153,772,461,785,288,087,040,027,750,
381,385,372,910,757,191,124,432,640,103,609,975,579,857,226,701,475,716,879,
797,702,109,355,489,882,877,639,279,606,606,163,750,932,831,173,782,366,980,
046,130,863,715,926,453,028,011,873,239,815,200,659,736,989,235,944,771,141,
404,268,936,235,092,404,443,000,731,960,800,507,165,749,885,245,336,835,669,
595,557,550,555,032,680,943,950,955,989,133,893,992,571,204,331,075,757,926,
175,151,003,350,416,057,724,216,351,105,993,706,754,826,461,658,637,955,206,
479,060,411,752,254,256,512,094,996,382,213,742,528,132,441,361,705,254,606,
413,829,489,178,973,347,933,024,842,894,244,845,957,855,377,784,187,034,686,
732,581,246,173,835,690,205,681,375,159,050,256,865,943,732,547,943,569,623,
239,803,263,972,444,568,506,269,201,548,256,091,626,766,913,291,866,482,953,
929,207,288,893,035,349,966,324,917,237,181,102,113,650,389,496,556,872,590,
425,875,462,859,209,063,118,434,659,391,990,120,744,893,137,460,985,053,560,
945,170,779,170,615,634,360,213,209,842,330,051,998,254,313,303,479,262,743,
385,250,066,813,277,583,994,877,211,776,916,254,798,976,618,508,833,688,188,
576,534,335,473,530,160,711,259,560,570,302,184,706,723,525,538,276,828,326,
883,421,668,136,404,830,364,652,839,476,454,381,421,355,769,481,844,329,788,
015,202,929,015,929,934,529,368,670,080,850,369,364,135,602,630,847,934,218,
589,755,303,114,280,048,858,245,195,563,074,732,875,890,312,828,117,273,885,
830,001,627,576,481,832,960,308,541,946,575,852,262,940,724,423,040,504,525,
060,453,499,415,029,997,981,508,951,339,144,431,710,933,818,117,843,534,840,
369,595,050,506,884,241,783,176,778,647,296,271,060,521,098,472,666,128,968,
510,657,449,393,681,513,147,852,838,912,521,952,964,473,671,306,733,955,630,
469,948,367,447,618,717,011,099,222,097,342,176,539,114,460,225,558,903,003,
223,129,348,603,213,052,147,670,741,544,105,042,403,124,535,578,884,573,550,
196,343,283,059,541,173,216,135,221,831,998,257,701,909,766,019,552,000,121,
816,235,495,980,957,787,318,384,565,166,470,250,290,339,008,261,340,009,519,
687,339,736,131,199,496,141,583,242,500,979,529,670,690,591,605,212,257,466,
973,569,045,450,730,636,539,373,602,763,315,737,865,325,726,619,572,940,847,
200,285,309,991,526,459,268,927,947,387,148,277,152,571,154,071,962,891,514,
968,504,548,246,872,428,151,718,414,259,278,237,553,250,019,704,212,497,398,
388,555,303,050,061,774,499,015,742,192,749,705,310,671,925,556,268,914,548,
440,248,732,024,208,698,900,306,263,113,243,932,511,890,067,972,985,893,888,
398,685,717,597,782,636,186,753,608,588,588,272,543,590,790,803,905,378,611,
942,124,390,172,850,110,017,143,155,270,426,363,637,425,330,780,277,574,132,
073,386,979,599,694,640,787,107,399,423,660,550,320,391,574,359,906,588,758,
071,189,197,563,311,189,371,393,570,094,342,715,208,122,751,985,892,404,019,
299,809,160,379,737,364,299,418,246,334,142,522,847,932,401,003,749,651,930,
181,826,397,748,521,889,783,067,620,895,543,504,006,467,258,388,972,225,312,
732,080,266,955,307,982,420,874,561,390,769,002,925,431,170,997,166,271,629,
221,201,873,840,720,694,899,884,603,185,263,337,266,922,051,374,641,912,055,
392,897,946,971,114,818,106,218,318,731,040,812,070,777,521,673,704,090,784,
271,397,237,574,854,343,672,159,273,843,924,667,226,754,475,826,976,204,226,
449,744,749,808,621,492,441,783,853,661,930,344,461,665,424,169,245,705,679,
595,416,943,893,851,040,565,982,773,169,400,286,523,744,725,303,657,966,941,
475,566,230,881,967,440,919,586,621,395,301,636,454,174,124,584,720,712,395,
362,102,175,323,430,187,704,136,380,075,667,921,115,390,322,154,997,725,983,
331,602,761,419,419,929,569,268,786,542,624,647,888,310,191,175,437,360,253,
281,914,421,383,869,570,823,440,105,180,998,073,705,149,765,304,990,033,867,
499,779,040,936,731,246,520,745,661,186,632,379,347,380,703,703,743,263,123,
218,342,595,210,328,257,972,505,395,092,507,312,175,992,050,499,608,739,694,
305,008,810,802,022,924,141,748,596,448,810,707,857,849,308,873,564,713,109,
489,245,459,474,548,628,556,466,096,699,695,843,474,636,930,244,241,397,859,
494,762,435,880,288,488,150,506,966,933,826,661,413,889,734,756,426,929,326,
443,609,248,362,152,454,165,036,045,489,126,859,343,955,897,077,015,627,941,
408,208,209,700,151,139,827,030,639,455,276,391,489,223,990,224,932,012,081,
272,329,840,387,499,605,860,052,522,395,030,430,378,953,256,752,604,298,195,
020,297,146,651,156,554,157,721,685,794,101,358,230,738,836,979,336,172,486,
199,533,197,757,872,660,128,261,565,861,501,494,698,284,577,811,607,241,504,
729,060,042,457,718,541,317,536,509,645,833,709,383,675,336,749,652,429,945,
797,371,158,122,734,451,415,367,368,810,770,781,025,131,588,396,499,708,742,
779,435,534,345,556,762,773,094,580,590,021,181,014,280,618,734,740,413,365,
482,761,856,473,658,337,174,781,836,654,153,224,385,711,274,022,790,074,724,
490,867,289,229,872,698,818,606,677,239,271,325,834,776,978,937,019,512,399,
371,792,011,702,673,474,179,837,898,037,389,960,852,411,288,249,601,785,671,
112,635,565,999,186,374,962,068,789,174,727,561,841,489,936,765,714,697,699,
500,528,555,641,471,568,917,316,141,833,707,563,816,357,277,660,026,141,822,
256,875,549,125,014,295,242,883,626,735,758,886,633,570,275,922,930,280,107,
925,997,707,221,331,214,519,879,405,710,261,394,759,932,096,285,346,584,649,
103,664,551,548,368,756,232,608,056,437,934,741,792,026,826,565,023,353,763,
385,173,549,809,756,722,491,307,039,068,530,595,356,006,577,104,688,586,348,
946,169,052,352,629,467,010,279,611,899,197,368,894,304,762,527,538,264,691,
251,571,155,478,620,276,096,448,995,348,521,000,850,516,946,286,564,006,290,
618,154,381,680,896,094,979,146,424,234,928,101,038,234,499,614,497,713,953,
489,967,599,235,666,815,197,403,225,804,674,736,005,491,093,188,169,521,990,
066,832,283,118,248,634,159,708,222,595,366,118,960,668,187,710,467,838,125,
185,498,937,863,366,824,000,099,453,563,996,272,506,179,553,061,323,546,792,
598,457,446,302,323,473,091,638,135,748,812,402,717,492,399,304,299,717,898,
216,234,536,793,684,397,674,986,077,972,922,722,583,936,975,070,720,549,176,
936,683,293,400,673,929,511,832,859,602,128,245,491,343,576,919,763,565,724,
111,123,902,465,737,751,402,258,578,699,337,084,789,464,141,111,424,594,297,
522,128,299,358,705,787,601,132,327,797,622,383,169,601,817,851,277,275,920,
967,419,008,607,480,079,097,041,483,987,913,068,023,890,469,428,269,164,167,
751,546,819,096,059,503,894,344,034,222,658,767,942,760,220,118,095,926,253,
206,465,106,637,573,018,868,795,503,013,885,203,017,639,273,369,525,272,127,
122,773,161,169,637,340,221,680,630,843,090,500,418,155,277,213,423,921,863,
579,118,049,816,999,589,192,652,929,944,656,157,628,922,462,957,971,466,861,
495,543,481,907,385,798,146,453,630,278,321,221,100,803,234,629,598,561,763,
205,983,162,179,689,139,508,431,530,777,295,556,272,946,170,406,340,744,566,
952,493,490,374,517,443,754,069,915,028,152,985,022,254,303,692,122,404,948,
006,503,592,098,600,949,902,555,336,800,722,909,382,732,140,523,580,124,196,
640,255,137,406,338,427,411,057,102,459,159,831,947,276,740,999,511,695,811,
791,946,549,188,893,156,562,705,446,192,165,447,452,135,363,612,808,455,539,
899,040,603,172,489,606,376,911,407,387,240,976,464,862,644,139,736,623,255,
521,979,296,398,101,892,692,309,100,519,306,539,366,270,985,565,782,199,214,
207,555,304,554,726,777,656,368,592,026,440,265,199,332,447,971,505,074,442,
865,276,844,694,768,305,520,188,241,556,503,345,860,340,850,092,962,132,817,
417,843,422,963,055,669,875,776,347,151,172,925,287,821,302,309,073,800,836,
888,859,134,639,179,971,960,225,441,325,303,754,908,351,736,600,064,095,623,
503,308,467,205,211,813,288,399,441,873,479,996,292,873,902,095,192,236,863,
109,928,029,427,053,310,291,860,338,845,113,841,778,998,345,567,202,391,998,
258,805,976,100,475,485,445,216,281,272,032,458,789,495,534,267,641,440,383,
062,485,258,710,049,005,256,504,678,395,607,979,487,973,591,459,478,660,494,
757,037,792,341,010,944,452,858,279,109,117,486,292,517,372,960,955,856,694,
021,172,961,169,719,813,113,079,619,166,617,757,663,052,900,834,828,667,269,
199,470,367,589,690,794,155,332,092,251,281,597,165,569,020,777,245,195,634,
001,148,272,193,077,414,675,714,686,192,692,113,916,223,252,805,092,899,686,
293,838,800,464,665,871,236,671,507,313,593,634,296,906,687,170,443,557,389,
043,768,214,861,082,662,435,608,567,410,904,801,004,562,677,129,720,743,665,
327,061,134,826,589,196,683,940,339,642,263,918,236,852,183,378,353,419,368,
390,325,975,932,561,031,267,695,944,298,956,157,432,037,907,994,850,501,182,
586,842,644,556,215,851,162,698,789,312,680,053,374,456,126,327,546,480,327,
874,021,011,923,388,955,511,566,144,111,675,450,971,922,157,478,893,975,309,
973,313,967,649,614,027,142,566,308,997,841,120,474,032,647,012,452,544,277,
231,040,468,016,094,932,992,030,616,628,175,802,596,066,148,529,917,809,245,
081,517,280,929,732,333,292,902,390,800,459,654,614,371,351,634,434,836,306,
917,527,582,368,970,940,201,091,316,175,658,271,719,554,736,762,262,022,204,
807,249,371,954,646,529,575,909,471,623,414,561,520,253,655,763,189,750,734,
284,994,420,973,994,558,791,106,686,625,041,988,772,129,174,539,344,576,396,
240,058,798,027,058,062,064,564,022,411,036,334,232,440,928,874,495,832,444,
851,070,845,701,631,981,991,198,788,815,541,394,141,725,007,745,303,105,188,
094,266,964,091,883,412,029,821,113,918,497,694,363,745,846,581,325,675,975,
881,084,647,751,170,722,070,002,584,404,703,407,009,187,979,380,236,870,600,
629,421,885,467,158,843,736,450,476,741,389,933,143,575,425,947,550,434,188,
453,720,711,239,652,182,640,951,149,383,859,759,730,264,936,972,740,932,439,
843,656,177,659,173,522,934,823,319,763,141,885,443,783,286,530,925,845,989,
181,562,107,088,157,171,469,999,743,792,424,502,946,636,758,594,656,274,350,
263,874,483,657,405,006,718,192,928,122,794,913,176,460,506,141,397,054,615,
767,931,782,462,658,451,892,997,132,297,171,176,415,750,963,441,681,385,254,
235,108,721,994,047,391,367,314,431,770,730,466,829,391,990,944,250,683,863,
967,717,481,774,983,543,024,715,864,566,891,638,729,043,258,864,685,384,125,
922,254,024,096,375,635,706,854,708,116,936,504,322,396,014,352,552,358,678,
122,287,304,343,315,256,985,381,002,530,907,339,675,347,216,132,553,453,262,
789,120,486,368,866,403,101,993,322,186,045,490,073,968,008,904,619,660,736,
010,703,605,815,812,037,387,044,253,850,928,054,285,173,545,067,723,403,414,
062,831,328,280,618,392,326,149,769,437,920,578,786,743,096,933,043,300,685,
254,979,196,471,132,516,094,702,444,675,575,690,284,705,755,796,849,404,391,
006,233,727,354,343,328,396,099,364,247,750,681,537,835,876,959,576,733,238,
192,224,791,519,014,259,913,142,642,013,554,875,844,412,943,029,423,222,909,
876,048,152,805,511,060,766,721,476,064,793,027,208,910,308,091,068,505,374,
891,484,815,450,825,742,369,215,721,832,128,609,341,246,985,319,337,935,790,
001,031,921,672,314,022,606,353,020,405,449,546,543,500,289,861,044,729,631,
699,547,724,903,438,534,003,290,060,234,655,731,911,489,936,536,238,700,124,
858,191,560,962,309,585,137,106,024,276,680,655,106,143,038,945,554,996,038,
560,877,700,030,160,496,162,164,646,608,015,187,868,140,527,963,283,355,211,
618,313,197,758,469,280,949,023,060,597,068,061,997,358,891,216,724,295,387,
645,787,523,073,448,808,746,949,358,837,869,742,945,358,480,816,474,685,285,
013,209,692,294,306,514,755,723,077,795,586,540,868,151,139,961,607,540,404,
563,218,007,735,424,941,928,673,238,692,089,259,407,149,799,713,867,362,540,
509,839,364,561,088,576,301,396,759,919,001,241,382,050,037,813,925,532,517,
322,182,529,078,033,189,785,460,666,365,059,688,272,956,043,551,197,089,323,
822,721,980,387,264,816,856,903,237,568,484,715,888,740,068,324,273,009,323,
305,622,342,370,684,502,033,511,735,407,593,888,779,044,685,947,607,037,400,
038,309,474,936,640,431,088,565,519,350,617,155,406,489,893,620,399,508,427,
821,760,839,731,213,809,929,363,521,426,672,627,366,827,953,410,974,302,162,
802,916,958,988,763,494,232,821,332,131,588,868,858,175,786,051,625,570,127,
663,554,823,922,787,277,779,063,686,286,294,629,619,290,897,696,438,832,857,
358,201,731,993,051,613,812,060,868,577,020,315,429,986,208,282,511,698,587,
664,355,737,162,722,833,100,498,988,434,705,233,686,993,935,098,816,922,896,
027,575,021,703,892,979,180,207,527,839,693,200,933,603,447,646,276,184,798,
010,426,610,295,635,840,303,036,624,494,190,520,534,956,210,195,060,269,056,
619,357,210,028,759,534,920,429,336,342,081,753,448,153,627,536,284,353,795,
841,228,588,422,145,332,090,911,160,664,677,838,435,139,300,756,300,287,224,
888,431,386,632,724,401,717,327,978,269,453,727,696,783,610,092,040,752,380,
360,216,092,709,355,398,542,620,536,438,700,859,240,551,894,072,734,626,367,
590,131,548,260,115,642,018,497,938,881,473,768,914,273,009,306,325,290,859,
934,209,829,931,795,984,661,897,198,752,171,928,458,427,582,014,492,774,258,
841,779,593,467,102,706,978,344,197,783,512,479,408,359,783,849,869,749,111,
855,409,174,895,728,367,884,499,833,545,633,512,302,440,292,672,432,214,052,
753,041,484,174,816,825,683,542,384,886,738,293,324,001,031,402,756,188,477,
591,059,865,541,825,366,327,354,412,334,999,149,074,872,959,008,539,878,544,
831,728,063,601,092,054,230,138,971,645,158,925,207,783,741,466,459,132,475,
393,793,669,371,128,968,548,868,308,892,777,341,615,888,879,884,921,553,164,
394,208,076,867,987,466,460,723,544,909,484,821,868,887,890,763,280,016,211,
792,485,928,145,403,377,169,650,188,494,255,127,596,146,438,290,321,195,263,
713,384,916,451,180,973,050,484,223,944,036,157,862,981,474,876,396,010,145,
525,859,925,738,202,443,141,670,909,978,532,143,177,779,550,869,874,611,654,
845,327,652,261,640,786,642,098,562,124,955,986,060,022,320,152,764,842,626,
561,509,591,317,519,956,520,321,656,683,557,974,211,973,447,711,607,664,228,
844,990,740,671,494,081,023,906,389,133,728,897,569,817,356,104,309,220,488,
989,644,425,207,311,945,583,691,677,026,053,039,320,053,984,246,853,673,724,
915,025,282,145,207,885,258,147,598,886,590,020,531,736,617,646,602,558,679,
690,746,467,948,638,900,808,108,805,728,405,276,674,593,569,016,445,771,566,
764,013,524,216,541,350,942,256,273,333,906,492,973,733,359,642,466,973,602,
848,177,680,805,408,438,773,732,980,481,038,511,924,914,118,471,587,065,902,
077,058,371,351,782,534,575,601,680,617,620,796,092,022,729,660,871,534,783,
359,356,566,534,235,121,254,834,538,067,639,829,177,482,182,936,106,637,335,
998,890,847,879,697,977,826,838,947,140,484,375,545,201,168,845,349,088,594,
651,671,690,157,867,560,765,515,754,600,664,060,691,989,840,746,357,834,141,
578,807,810,029,817,661,353,084,001,131,277,941,374,864,367,037,084,559,522,
198,141,407,476,964,743,290,958,376,419,116,051,397,265,365,501,194,020,510,
291,358,547,788,437,577,681,072,678,460,477,393,560,851,095,981,807,766,495,
417,888,867,555,862,753,694,441,005,738,548,911,681,140,371,856,052,728,020,
939,891,678,903,915,525,621,456,241,765,862,382,965,496,989,701,243,757,965,
478,954,591,596,950,273,590,881,695,727,592,153,371,044,108,183,094,696,531,
051,360,712,986,516,425,875,506,286,886,540,860,584,160,680,684,309,169,987,
105,869,108,700,596,401,832,447,508,823,547,869,682,754,495,548,692,407,217,
833,197,078,763,086,051,043,797,169,472,785,259,466,119,564,066,407,029,307,
839,416,821,380,751,939,433,605,483,052,695,908,953,911,930,399,219,474,139,
044,860,125,087,794,066,067,571,361,279,493,704,357,856,405,494,539,313,518,
384,362,599,360,998,755,410,459,341,433,999,975,562,853,039,219,055,577,295,
127,898,730,924,565,078,465,184,463,388,911,919,247,123,560,820,001,367,889,
593,963,224,275,606,950,465,495,774,888,067,155,003,208,691,522,581,288,047,
881,156,052,885,039,715,428,912,176,536,064,973,909,703,959,949,418,921,407,
815,107,476,743,477,933,364,930,964,742,232,204,040,860,493,249,183,152,363,
949,702,225,399,871,895,268,014,882,680,676,104,241,234,598,593,914,269,546,
906,914,392,852,536,010,405,180,086,890,326,041,150,409,655,068,232,655,885,
295,656,378,148,966,835,125,436,435,132,108,757,193,571,176,280,906,801,046,
906,275,668,622,633,720,491,802,239,101,583,748,001,013,440,485,014,987,572,
786,651,677,939,104,739,460,165,744,928,510,893,963,574,805,489,350,804,876,
535,338,599,886,610,636,492,087,373,880,522,933,116,851,177,151,201,411,981,
154,861,415,432,059,358,592,106,499,449,848,644,586,743,789,847,577,058,336,
416,929,225,518,205,814,472,025,954,155,058,978,715,188,489,878,282,447,016,
515,632,133,304,678,742,968,499,652,172,106,753,718,408,234,317,236,989,811,
871,907,971,286,102,279,185,778,496,483,226,692,764,832,227,494,561,226,616,
026,354,670,603,192,375,838,923,221,018,528,877,603,687,875,511,836,665,005,
869,259,199,800,256,583,242,730,199,501,379,582,367,564,038,820,387,357,297,
252,801,456,185,576,584,206,557,432,443,817,379,291,867,604,624,805,079,359,
539,068,857,194,937,383,862,949,243,966,012,119,248,547,058,931,153,720,492,
759,720,857,569,271,911,254,464,749,633,821,419,612,486,401,071,962,796,782,
123,479,609,336,276,831,141,228,909,418,161,596,184,275,590,871,629,702,878,
256,985,372,551,142,642,090,144,194,796,386,711,243,273,198,944,387,610,652,
350,299,296,978,191,077,428,006,803,636,258,947,345,576,336,799,959,853,538,
260,656,069,034,862,937,928,716,581,195,951,987,796,971,134,976,628,946,312,
859,939,473,452,472,374,891,054,145,485,175,973,535,874,984,127,744,970,806,
012,047,246,256,616,894,820,366,748,902,385,491,094,934,843,415,910,283,016,
039,148,511,364,391,560,845,992,506,257,359,072,712,113,502,804,015,580,947,
928,153,268,748,582,795,773,873,469,351,823,981,931,871,898,290,719,265,881,
821,512,184,843,224,040,399,435,754,463,157,565,864,243,250,725,016,592,371,
434,973,827,138,331,739,074,076,692,577,158,269,367,342,361,836,377,819,070,
440,353,923,564,738,986,914,588,628,935,714,725,361,403,686,985,243,130,262,
400,434,608,647,613,732,732,935,560,230,587,529,500,933,683,703,975,696,021,
086,934,832,593,809,799,693,646,541,459,689,693,037,646,711,900,361,401,511,
589,068,420,200,045,169,287,027,229,789,766,175,046,055,380,994,315,301,950,
685,886,201,593,082,901,429,500,479,937,805,315,715,571,914,323,602,077,041,
892,182,107,071,323,147,811,110,765,804,899,875,712,980,741,130,828,961,893,
256,940,728,564,551,777,833,625,492,030,744,879,815,043,161,747,211,090,718,
193,250,295,711,403,588,875,877,606,943,151,895,648,912,143,090,633,738,741,
910,353,716,302,781,416,155,627,017,033,567,594,852,507,694,571,547,473,807,
652,477,979,030,374,323,006,719,794,034,971,224,018,177,517,685,696,350,769,
507,221,703,837,472,730,793,376,335,821,407,569,487,776,437,539,386,613,766,
877,425,821,145,298,931,031,556,319,349,916,283,303,817,510,942,439,566,463,
080,622,037,880,947,228,234,545,627,988,642,819,177,852,784,843,412,712,338,
602,196,516,254,672,379,245,252,701,832,051,990,218,634,318,764,711,664,237,
734,476,167,238,718,095,146,448,420,643,040,883,001,504,344,951,717,891,895,
781,325,860,136,664,079,664,970,772,240,312,879,454,028,895,089,739,432,452,
649,942,910,211,669,068,347,699,791,027,429,452,304,809,816,901,661,743,731,
784,770,418,128,956,215,432,084,850,366,199,478,768,844,576,822,413,460,617,
479,368,788,368,868,491,341,852,306,163,837,273,536,103,367,411,838,885,857,
068,502,712,028,992,795,388,543,217,191,118,382,975,165,429,123,808,076,535,
621,038,116,627,474,863,125,370,372,351,293,893,565,490,425,297,360,399,951,
336,082,993,015,981,335,438,679,621,905,320,208,864,518,861,464,180,153,013,
760,992,612,975,827,347,489,708,098,966,194,478,395,991,051,840,996,182,941,
080,835,978,800,490,839,983,144,612,165,533,617,062,174,985,829,856,188,552,
396,925,869,857,210,079,138,882,956,517,757,014,163,238,913,519,644,105,811,
124,233,320,091,883,704,705,909,781,866,184,536,315,582,539,286,894,122,537,
722,934,030,449,156,015,791,868,640,420,551,446,970,391,237,331,874,989,635,
351,827,519,448,175,162,656,983,225,822,394,978,124,349,302,146,708,571,934,
102,229,964,200,510,698,126,841,613,495,566,325,610,867,695,134,185,064,519,
721,881,702,984,969,157,951,260,477,400,352,315,353,790,197,676,025,134,048,
422,684,185,542,864,589,962,452,620,753,885,208,119,671,739,789,009,196,448,
466,249,618,939,532,927,694,510,242,520,206,789,436,895,903,683,503,359,934,
008,529,416,409,308,064,849,478,236,874,052,975,106,132,026,426,521,933,175,
367,103,319,132,026,166,266,363,739,460,199,438,089,568,389,679,864,798,381,
654,989,912,809,839,903,931,943,095,143,095,103,127,805,487,515,532,442,489,
450,877,657,021,653,018,224,925,360,020,963,865,189,444,111,422,709,530,902,
610,482,748,760,495,788,713,449,421,207,832,418,619,294,417,526,209,310,942,
321,074,133,666,743,045,554,557,649,958,716,820,435,893,784,067,222,131,326,
188,951,249,251,498,327,644,612,771,476,620,585,914,825,646,770,678,157,756,
198,251,336,994,857,933,641,766,645,132,983,280,696,864,827,775,449,839,381,
841,629,020,189,025,163,118,199,279,247,060,055,370,953,999,562,043,040,197,
672,042,986,672,684,298,162,330,366,871,899,695,906,050,702,209,965,040,538,
405,510,391,980,112,204,660,956,951,722,634,898,484,047,150,847,982,495,908,
889,327,478,168,602,598,797,281,470,183,613,061,824,106,402,578,228,520,703,
380,289,463,922,309,302,294,998,570,362,509,226,932,906,993,639,010,783,726,
307,277,659,107,214,661,316,425,220,903,429,533,585,062,056,247,396,138,365,
120,247,449,179,605,209,015,077,994,334,819,486,501,230,739,469,124,204,254,
166,073,725,078,044,510,745,441,747,052,701,518,077,533,043,638,300,870,907,
221,015,526,616,287,557,929,750,664,094,988,790,444,237,242,583,117,075,726,
955,227,051,277,026,260,261,510,587,941,215,772,711,722,773,510,408,172,615,
518,263,727,710,653,980,653,112,309,062,317,570,136,904,821,991,692,925,277,
373,304,885,228,311,414,007,435,445,816,097,418,415,512,842,923,250,143,072,
881,109,896,667,760,852,577,614,783,057,560,545,818,576,235,261,658,221,869,
117,459,404,140,016,170,749,876,293,657,469,979,605,749,229,967,177,301,446,
364,701,866,469,658,427,960,146,117,977,277,852,627,991,630,694,201,166,282,
970,647,418,768,414,052,326,024,581,173,358,577,271,101,455,667,906,787,488,
860,961,119,693,741,398,691,745,471,919,956,510,593,149,210,395,020,184,787,
335,099,522,292,645,460,967,119,108,505,579,820,658,660,592,450,685,362,065,
504,919,324,818,389,727,023,023,490,439,807,609,660,165,173,999,913,848,687,
139,468,406,637,742,739,268,894,571,560,438,591,911,638,015,846,895,893,306,
773,658,608,741,005,895,003,466,936,432,864,943,532,311,277,328,115,400,448,
273,481,627,462,555,362,341,476,219,404,417,528,293,905,656,531,231,195,879,
203,841,938,682,769,668,102,810,270,606,145,631,405,500,707,162,366,978,316,
623,546,779,662,283,683,414,389,540,432,991,364,000,388,837,754,968,996,301,
118,589,431,474,414,672,449,782,910,038,120,039,539,037,085,762,582,048,841,
864,896,417,444,004,001,442,354,405,716,093,564,549,203,056,436,050,850,602,
783,089,143,852,189,947,881,732,922,887,436,980,137,114,536,697,356,846,705,
896,342,009,862,789,822,925,020,911,955,238,332,739,037,701,242,332,934,891,
728,038,438,179,582,403,108,848,690,080,098,247,742,118,130,761,375,952,143,
025,248,453,197,010,125,498,865,672,263,452,731,847,400,930,226,755,394,274,
068,267,620,117,264,752,564,062,891,087,591,205,978,846,798,773,688,196,571,
635,600,354,351,443,959,513,986,676,063,275,042,670,138,152,476,036,950,201,
360,453,690,682,250,626,300,817,429,618,393,675,805,727,322,732,828,987,270,
872,696,046,820,042,183,686,288,936,776,448,401,632,496,234,665,346,529,058,
500,857,537,285,338,635,577,395,573,889,708,654,094,964,393,592,740,584,101,
459,730,803,744,940,399,181,297,188,832,091,018,223,342,509,504,314,129,862,
075,251,293,401,626,319,667,589,986,454,118,901,462,511,592,986,071,299,689,
489,863,213,156,911,154,244,356,597,545,397,588,361,799,822,837,871,921,419,
205,793,078,630,480,774,422,018,323,946,717,477,156,867,633,549,699,376,589,
838,676,844,027,466,243,890,863,813,119,497,255,191,283,893,507,015,379,269,
651,744,768,029,360,260,467,449,234,224,569,665,267,615,698,497,008,308,644,
925,828,417,275,667,484,567,527,622,349,203,687,296,400,667,842,055,108,416,
206,836,851,833,402,461,954,955,962,826,333,904,390,632,613,517,132,989,231,
782,706,109,612,593,271,442,149,360,378,738,622,603,618,147,498,580,579,314,
963,372,773,295,453,737,920,573,891,935,011,418,689,883,848,118,457,071,526,
110,519,802,623,184,694,253,756,033,981,349,462,762,768,430,815,913,667,373,
521,631,333,508,448,691,561,518,718,928,266,095,160,938,664,760,304,054,805,
992,716,169,800,683,958,243,899,615,006,062,563,271,891,055,400,794,987,165,
442,826,727,042,817,847,059,609,750,441,643,257,810,563,814,250,968,179,778,
941,731,220,184,098,551,123,094,553,611,783,039,250,895,662,498,156,113,963,
189,884,227,215,737,981,386,308,019,517,215,225,063,582,175,524,229,820,944,
930,769,972,635,812,668,119,237,924,619,522,947,460,556,566,037,749,207,208,
776,130,349,009,034,635,754,716,632,129,993,566,056,271,171,774,806,549,487,
350,618,607,937,448,630,501,434,695,397,550,956,610,996,429,542,825,138,818,
139,002,708,379,308,961,184,832,162,718,578,636,307,484,070,682,535,999,194,
942,611,195,506,229,904,271,867,987,577,715,738,642,507,046,999,910,605,077,
923,962,003,006,142,391,878,803,884,966,141,862,890,700,546,621,306,429,680,
046,092,546,819,511,614,070,716,229,737,494,634,298,080,386,217,320,098,451,
528,510,339,264,393,253,380,210,414,235,266,642,266,946,960,573,682,573,405,
306,572,163,775,165,900,660,097,341,044,261,935,973,397,277,053,408,462,925,
524,100,616,953,883,827,870,279,147,646,433,348,704,758,274,495,611,568,446,
613,202,602,073,482,191,889,906,397,124,727,093,462,107,317,382,813,226,260,
919,684,554,828,568,826,021,679,617,173,865,810,940,179,297,275,985,805,706,
699,541,082,652,824,340,006,099,029,162,633,021,371,842,491,928,382,136,961,
845,895,033,984,237,221,317,340,225,665,566,872,908,063,265,249,940,394,685,
245,940,347,598,955,734,983,770,575,930,773,360,440,489,031,331,571,103,105,
942,370,127,320,262,098,589,828,011,648,479,242,043,524,653,463,008,236,196,
136,189,224,066,412,052,664,023,645,574,698,388,438,415,827,763,414,830,512,
857,827,998,130,287,913,734,507,954,796,416,777,455,049,798,607,651,604,649,
717,031,928,500,826,948,346,793,947,608,926,128,630,666,866,722,578,129,674,
731,091,778,903,640,013,596,012,908,864,896,765,995,228,262,640,225,824,806,
870,657,814,054,395,841,836,000,008,891,225,612,492,668,671,133,603,362,957,
202,417,897,796,139,295,661,168,175,619,540,293,261,455,869,208,383,682,605,
967,820,842,429,687,225,047,222,016,174,798,062,467,624,807,523,769,271,864,
970,144,695,179,174,300,800,666,451,244,863,793,475,748,921,208,643,829,529,
877,051,348,287,362,553,493,627,255,849,971,768,300,735,497,238,877,756,693,
897,135,619,560,664,934,053,520,585,128,947,399,812,354,277,809,813,886,281,
204,468,594,585,957,153,758,970,178,736,132,973,343,090,986,864,250,447,110,
654,426,140,083,781,082,764,184,557,557,273,191,349,893,742,487,626,178,462,
211,284,462,355,401,847,697,806,395,812,261,028,390,580,929,928,720,651,549,
358,559,791,782,324,541,357,520,892,628,124,398,195,375,123,305,532,538,410,
111,364,395,610,478,599,439,658,587,831,275,460,809,408,562,626,014,706,883,
487,784,022,563,516,327,718,908,533,124,317,903,377,598,034,500,504,010,051,
030,521,336,491,389,913,211,817,266,503,002,218,187,361,022,036,132,886,688,
138,200,271,648,335,860,836,700,841,019,851,315,178,084,702,990,211,770,488,
445,432,221,653,455,020,781,924,331,586,515,075,870,166,565,857,372,244,379,
714,977,994,275,149,030,894,892,000,546,866,091,430,024,353,180,766,976,733,
315,692,201,439,654,592,816,146,243,871,693,069,189,229,814,626,017,633,122,
922,358,984,289,726,463,631,498,486,861,657,217,946,002,999,423,936,728,307,
139,226,095,498,074,973,082,480,940,526,816,413,580,074,146,146,016,139,373,
627,412,685,932,799,940,304,753,417,603,829,994,615,316,660,683,154,680,584,
805,608,782,650,655,258,144,973,983,545,270,789,189,671,215,470,371,200,545,
606,403,881,601,956,981,328,166,460,221,609,230,858,371,442,389,929,281,812,
795,208,725,418,852,906,015,142,701,439,823,456,476,007,675,165,594,199,493,
313,135,574,684,538,524,638,237,279,229,422,395,497,799,763,525,999,374,900,
058,683,744,578,147,740,270,976,936,600,562,652,900,428,957,062,196,141,633,
329,445,950,228,549,456,454,212,406,767,982,863,886,733,816,546,224,954,065,
437,308,166,636,628,504,381,165,301,503,038,944,501,688,353,501,483,562,221,
777,937,376,979,813,195,854,253,151,580,037,554,304,224,441,079,792,186,838,
373,297,882,691,959,025,695,668,542,522,057,596,845,200,038,772,037,073,423,
532,014,591,117,343,717,102,803,296,722,892,546,340,180,966,092,254,660,934,
865,741,294,276,803,654,231,442,519,893,862,651,301,113,718,137,966,991,036,
911,293,012,200,828,360,334,157,690,849,801,166,357,328,066,941,603,596,927,
239,522,197,939,806,122,608,235,575,908,412,640,915,582,180,226,478,511,303,
270,325,636,062,818,010,866,737,863,968,262,672,600,354,070,720,910,621,579,
923,053,539,819,716,395,657,690,118,635,730,427,045,276,010,549,277,630,896,
621,336,355,179,583,103,061,024,353,016,077,266,789,003,129,844,189,742,651,
723,911,155,718,208,821,911,776,129,158,774,983,598,855,314,941,190,544,323,
121,664,527,108,632,524,911,412,879,381,717,229,173,791,592,113,690,661,579,
788,945,895,595,092,325,662,241,517,621,535,357,786,886,118,854,517,406,689,
492,218,893,691,712,659,177,792,607,482,883,761,629,992,661,581,914,702,899,
095,071,667,855,404,580,510,748,544,501,764,584,050,815,033,613,330,730,735,
506,918,510,380,489,825,260,310,194,296,780,094,174,382,556,763,091,677,042,
119,570,439,981,731,117,191,897,451,382,430,065,420,015,081,912,328,110,287,
784,185,034,784,900,591,672,124,898,094,050,889,537,157,797,204,592,580,679,
574,513,359,430,519,373,633,552,168,297,726,561,522,595,443,399,780,331,297,
069,755,978,292,043,110,708,285,697,577,203,845,662,348,679,583,445,367,598,
810,636,164,785,170,981,553,276,972,729,560,929,306,146,587,004,942,571,153,
958,519,867,728,834,892,300,401,053,403,873,546,757,934,917,148,660,604,406,
460,564,156,821,233,581,953,144,739,905,372,027,970,894,352,503,639,925,941,
390,543,178,160,174,850,987,417,402,366,283,155,930,845,091,292,626,751,550,
796,341,074,117,496,918,294,271,639,983,225,922,051,143,808,265,015,666,866,
086,785,223,798,401,511,201,180,595,122,287,189,527,368,950,650,365,623,605,
908,149,980,581,230,373,959,924,765,530,403,420,448,629,838,295,441,338,245,
243,694,112,152,145,195,825,063,179,000,345,440,201,334,170,448,769,647,527,
650,778,059,839,143,920,456,037,092,629,968,046,586,856,862,685,079,966,594,
278,297,480,890,870,820,406,699,766,008,280,448,342,615,926,974,850,625,996,
090,937,704,784,374,039,246,356,606,428,300,538,183,592,993,886,695,975,115,
099,349,351,338,688,007,743,000,766,726,225,907,310,500,491,744,223,299,877,
792,011,921,942,607,315,862,250,732,445,391,779,061,017,213,741,554,694,091,
769,990,329,683,719,763,094,792,046,038,362,059,447,539,934,831,459,090,499,
770,363,055,110,094,388,797,197,673,080,443,334,378,944,688,941,875,889,631,
650,093,914,161,290,683,131,584,958,247,881,685,309,261,240,334,139,445,607,
318,962,330,368,641,763,685,776,316,434,278,930,492,936,024,330,323,042,176,
437,364,093,575,473,280,773,638,301,596,875,727,185,294,477,262,958,859,626,
918,262,364,789,661,534,146,542,790,288,423,754,536,706,052,611,045,990,882,
857,646,966,746,359,842,526,838,435,305,467,944,130,956,790,166,574,411,296,
568,554,044,809,485,222,971,205,177,149,481,314,866,313,200,932,622,457,148,
345,666,479,013,421,265,694,864,784,550,520,502,710,436,330,793,779,019,331,
996,852,968,066,423,272,637,460,098,389,582,795,271,020,779,509,921,031,120,
837,564,228,817,438,871,772,581,583,544,585,976,952,920,638,523,237,935,666,
673,431,324,881,850,764,797,539,138,152,514,872,707,162,320,636,458,590,677,
648,709,737,818,046,690,526,390,497,876,520,793,032,818,162,094,804,570,780,
423,935,900,316,908,992,669,247,799,665,692,797,957,800,532,135,599,361,571,
765,966,810,870,749,379,606,278,460,758,092,656,575,672,871,923,258,633,857,
343,474,862,007,863,547,510,820,876,240,394,795,367,230,993,496,363,507,524,
942,582,689,277,476,928,876,268,932,509,405,572,065,331,687,250,945,276,787,
249,213,410,012,517,601,006,884,023,884,206,851,907,467,323,778,675,957,905,
391,720,869,107,868,706,780,633,428,535,488,055,885,037,704,724,932,485,508,
307,363,528,176,853,875,838,806,874,291,723,343,594,508,131,242,544,769,922,
935,951,839,888,668,233,354,182,716,439,419,041,697,863,973,629,730,871,709,
444,142,626,943,615,139,993,488,794,882,863,021,959,813,796,352,540,548,710,
377,447,784,698,828,525,539,447,894,162,353,770,025,454,899,943,684,708,940,
612,336,525,516,259,296,430,484,651,216,061,668,762,807,152,611,263,696,198,
813,503,323,185,693,076,109,277,470,673,120,326,828,758,167,818,968,657,149,
967,092,037,537,034,619,859,680,820,630,803,896,557,338,052,542,822,488,187,
746,569,460,493,001,855,163,023,570,798,164,354,686,862,520,473,417,963,453,
883,415,360,939,847,075,997,366,958,903,905,023,462,448,940,124,406,424,467,
907,772,990,824,501,130,590,459,836,148,250,411,291,714,359,432,679,065,098,
256,095,839,599,410,208,759,876,419,872,721,955,549,860,362,534,693,317,591,
872,986,671,946,277,775,659,529,647,266,811,893,861,981,330,145,332,153,595,
924,089,557,387,346,719,036,628,439,137,158,741,394,676,447,877,952,739,980,
119,006,919,399,523,637,753,621,997,715,850,570,129,278,609,922,732,387,370,
221,456,025,050,313,888,130,001,314,970,107,057,363,126,444,430,629,513,186,
656,782,328,650,661,481,903,939,661,942,363,207,842,061,129,825,376,878,489,
620,897,307,129,446,018,478,683,344,467,207,606,674,142,697,659,381,121,401,
342,985,022,259,232,100,276,144,884,100,507,789,675,525,618,752,727,155,065,
673,364,935,265,413,850,589,700,471,892,429,145,168,798,936,318,977,695,106,
668,720,599,038,831,937,908,806,381,711,617,304,371,629,011,137,466,083,841,
818,459,544,449,948,217,988,175,494,417,178,667,487,669,332,135,429,376,552,
869,770,100,809,021,856,907,664,427,725,908,884,950,637,398,742,126,769,777,
288,562,445,712,078,708,922,786,359,856,532,533,728,215,558,991,763,095,647,
770,191,300,904,698,483,852,218,914,126,253,361,310,929,786,841,599,007,728,
804,518,217,685,712,963,446,340,647,602,595,846,621,769,824,297,230,353,177,
299,723,182,545,486,822,437,808,550,220,983,090,303,737,034,179,328,635,888,
152,457,558,084,579,920,626,496,312,943,319,211,967,324,684,523,304,562,511,
572,444,666,638,668,814,933,913,765,553,475,644,202,573,028,083,450,890,937,
708,635,268,851,159,483,065,540,194,442,059,321,654,952,020,343,900,787,762,
340,964,044,527,453,315,489,213,142,704,830,592,550,956,865,904,939,796,828,
931,864,023,080,873,439,764,681,899,597,740,124,034,931,449,197,372,158,424,
116,588,978,747,198,887,572,122,677,889,200,010,844,205,623,096,836,008,902,
883,954,950,896,697,882,169,201,405,485,695,640,214,417,776,395,712,800,613,
877,282,371,283,446,107,478,888,027,081,254,550,176,887,680,185,763,425,308,
820,380,197,052,128,405,899,469,511,175,767,654,512,941,654,472,401,939,905,
000,249,528,723,365,877,411,687,411,600,532,519,264,990,263,199,689,765,416,
601,145,644,776,821,864,478,593,061,854,924,335,116,210,411,007,590,885,542,
167,070,295,419,788,459,161,887,287,173,562,378,743,301,086,914,753,310,536,
010,521,438,707,079,043,115,409,428,444,225,271,384,552,654,313,562,781,053,
867,986,624,547,048,371,109,422,142,990,925,892,133,893,944,205,871,847,836,
225,937,576,363,829,095,411,392,382,563,022,063,943,414,607,253,041,758,309,
803,091,478,800,025,701,449,761,976,078,077,581,947,825,240,392,200,630,048,
440,903,943,630,230,781,463,054,522,084,516,275,366,004,077,378,071,880,295,
304,004,461,897,917,388,296,023,200,324,890,855,799,907,068,327,851,103,199,
701,186,138,982,455,290,142,966,224,581,667,496,812,947,648,677,101,922,996,
770,398,030,048,852,555,979,944,794,500,208,083,655,883,318,606,300,812,334,
759,594,977,762,650,248,312,875,616,377,175,571,374,069,653,783,310,642,882,
066,329,401,867,380,310,962,768,828,208,115,129,250,047,565,873,703,384,800,
638,476,384,799,952,958,662,218,909,441,336,161,987,150,309,776,387,078,988,
661,443,719,214,385,565,980,412,278,876,977,291,290,049,318,778,693,225,247,
477,521,530,875,928,497,541,437,792,149,104,224,148,249,999,793,718,235,513,
863,945,939,207,235,524,137,826,695,921,691,441,118,728,197,665,629,483,555,
641,695,455,329,327,735,673,203,236,380,060,442,986,849,947,324,253,813,140,
449,017,329,469,102,057,519,728,760,439,823,646,244,876,590,439,732,576,092,
826,071,527,872,465,411,923,650,851,944,914,368,687,547,769,183,143,055,562,
877,222,109,660,779,379,763,028,160,134,084,649,590,970,619,889,126,033,106,
627,015,836,660,055,620,441,571,952,622,377,795,920,532,620,108,434,415,977,
438,565,931,795,687,488,350,992,498,575,894,810,403,268,169,581,183,241,237,
029,972,880,858,252,149,806,576,823,143,268,987,471,401,663,980,668,041,388,
469,602,902,834,023,763,122,705,107,752,701,806,469,042,421,402,626,038,411,
411,324,341,331,968,176,108,509,391,599,529,913,259,668,407,275,928,802,959,
167,574,498,379,044,562,922,259,300,135,929,913,457,287,285,568,504,856,998,
424,497,142,188,552,196,929,404,273,807,005,378,389,278,501,446,898,025,548,
750,666,958,403,824,657,602,679,378,080,242,890,355,829,510,525,143,889,668,
558,768,307,348,742,733,884,228,357,273,094,687,387,724,554,575,523,233,431,
190,550,452,700,306,800,836,573,456,004,498,116,155,733,260,970,050,486,581,
561,575,612,858,453,217,119,494,471,198,936,512,552,811,696,829,078,722,424,
617,695,905,939,530,124,903,253,859,592,685,660,769,536,863,100,183,057,418,
337,450,967,860,197,800,953,363,624,055,699,407,685,262,792,814,417,756,995,
204,639,107,162,912,969,342,352,426,313,975,366,915,165,231,070,799,517,248,
448,538,083,871,897,612,095,187,061,198,365,348,250,864,309,704,015,216,825,
539,606,402,588,027,790,661,106,778,241,357,407,380,265,170,167,155,325,990,
523,265,809,057,866,292,482,614,738,640,489,835,052,093,078,925,401,215,426,
961,141,198,575,668,195,865,433,217,406,747,962,014,439,231,220,550,474,963,
473,814,904,763,803,868,444,889,995,410,947,999,524,583,412,751,276,771,878,
630,492,919,351,730,891,647,852,119,148,788,865,620,649,386,592,561,011,709,
217,416,425,500,115,098,867,995,284,883,151,725,716,362,889,797,270,024,932,
530,549,600,754,232,935,442,957,932,257,592,898,612,815,636,702,227,988,144,
146,729,688,413,237,463,942,575,453,513,439,547,821,525,311,746,395,374,290,
787,829,096,088,861,979,704,569,257,683,267,496,140,647,508,587,421,479,867,
717,236,553,322,644,582,074,277,475,276,637,894,028,923,304,324,829,636,988,
347,361,319,148,404,334,481,441,331,974,591,859,112,116,563,767,373,552,308,
078,337,698,738,444,442,845,402,271,117,658,475,479,313,442,484,826,922,983,
183,538,125,987,866,077,986,738,384,604,943,671,136,347,591,460,628,496,564,
129,011,970,984,609,518,792,558,531,864,516,786,658,181,241,668,763,003,355,
933,543,714,577,017,713,472,910,934,280,981,935,308,179,420,225,674,279,258,
265,108,531,498,915,380,723,826,443,081,376,327,604,311,772,711,272,383,433,
338,878,548,106,995,678,234,227,316,456,590,991,409,376,518,419,330,308,530,
865,166,840,869,088,392,999,747,996,554,731,964,550,676,105,303,960,253,224,
551,417,062,810,855,295,786,199,962,578,484,963,364,986,785,162,306,771,894,
948,433,409,069,721,956,281,611,522,587,125,959,544,836,535,372,767,402,771,
139,785,301,373,145,271,799,669,550,426,246,726,803,693,310,254,231,794,215,
873,191,794,881,011,346,875,002,859,753,268,850,334,823,441,086,686,895,961,
148,296,755,667,033,764,693,361,040,910,734,827,114,168,884,374,924,071,936,
653,372,116,462,319,188,379,872,806,748,722,580,678,288,159,711,744,644,299,
154,304,125,945,765,530,604,117,237,671,352,028,248,137,206,959,323,918,272,
362,537,029,156,963,237,138,409,951,854,414,048,602,580,637,936,466,265,507,
393,807,600,062,442,703,849,671,878,006,480,946,811,739,243,163,868,872,451,
499,040,280,851,973,802,900,501,906,445,525,424,538,777,142,538,300,081,924,
556,755,216,103,709,960,946,641,104,823,542,339,768,846,256,474,887,360,741,
224,849,007,238,323,374,136,497,834,743,793,943,837,882,989,803,387,034,524,
222,615,686,244,433,357,492,428,118,285,389,839,578,515,139,876,393,235,498,
579,626,413,871,533,367,027,434,999,802,850,948,003,249,837,952,153,573,472,
627,983,716,859,139,244,047,922,173,170,588,555,304,718,271,005,026,548,884,
361,071,218,685,139,809,534,641,196,562,433,120,050,365,308,341,109,961,494,
994,287,814,025,155,312,574,785,092,633,066,066,273,125,518,395,651,948,003,
994,273,880,360,746,460,086,696,969,607,330,788,392,656,443,523,015,199,276,
209,401,228,664,853,449,422,830,448,289,289,736,824,357,560,385,464,811,683,
770,871,526,469,491,629,701,394,252,243,314,440,481,422,115,386,844,246,107,
822,420,279,228,291,460,368,038,425,884,055,258,766,304,786,929,203,225,747,
117,974,084,908,038,195,428,684,857,381,510,613,324,108,577,387,152,387,322,
000,764,572,930,523,670,939,835,177,725,169,798,494,484,085,100,095,568,013,
196,176,043,917,230,065,561,623,177,280,382,358,925,524,236,097,743,769,071,
547,846,664,571,443,011,719,749,507,741,721,464,692,713,703,652,700,828,142,
038,651,170,294,203,406,046,467,883,956,354,739,989,218,825,184,131,082,274,
986,138,849,560,690,331,798,865,808,752,843,248,809,311,885,988,853,692,957,
530,179,189,442,924,898,284,852,048,648,733,394,451,679,276,940,797,059,913,
020,571,797,221,165,554,483,156,020,606,833,223,266,206,696,066,024,427,218,
186,821,008,117,665,639,450,564,164,207,842,335,101,829,138,998,169,222,777,
789,584,127,221,367,386,969,295,475,235,771,880,515,368,209,718,364,149,627,
965,997,398,184,597,017,436,105,932,202,125,877,894,329,298,715,125,753,980,
030,623,827,574,133,216,314,646,923,390,187,781,107,789,609,242,542,993,291,
748,100,670,563,483,159,475,231,409,176,474,180,386,512,621,983,446,400,091,
040,690,411,830,992,924,450,769,771,118,121,314,860,164,540,707,561,509,600,
218,653,558,498,904,007,749,164,414,565,920,593,206,355,029,356,279,110,750,
954,208,292,375,781,951,992,852,818,370,737,403,519,007,237,853,554,289,782,
912,655,538,668,006,982,373,427,823,846,044,434,780,739,836,798,465,476,165,
080,985,663,609,637,552,811,854,027,432,051,451,466,119,614,607,869,114,884,
460,141,092,904,280,797,472,838,260,319,658,208,698,846,789,958,178,697,312,
576,754,691,212,838,278,781,258,356,567,643,907,101,723,690,907,643,829,388,
981,332,180,723,369,647,159,886,787,104,307,155,395,062,940,486,241,750,008,
849,769,342,235,719,567,101,673,480,914,220,614,951,882,159,438,568,905,896,
399,534,623,843,819,890,920,275,970,662,179,367,000,563,096,863,806,845,869,
227,182,509,872,787,782,884,804,563,805,677,728,769,342,803,931,639,388,759,
495,879,980,412,712,817,335,175,757,864,817,154,239,918,276,778,649,621,152,
738,232,579,707,800,070,183,138,277,049,791,852,981,277,758,517,586,348,550,
474,168,260,434,718,154,658,975,683,459,427,085,061,101,678,427,562,697,089,
846,104,609,833,105,907,973,278,853,499,360,810,469,016,908,855,722,105,319,
590,351,846,164,129,714,901,024,280,696,914,699,534,448,703,670,056,246,858,
918,063,012,875,790,550,590,752,887,802,909,410,571,491,680,867,509,376,456,
447,007,692,360,812,984,802,881,349,260,703,237,682,412,757,317,625,050,873,
747,095,881,274,493,021,107,967,533,702,105,146,062,224,530,143,188,238,923,
250,348,067,540,544,955,922,326,241,805,904,874,586,272,151,029,883,474,302,
313,728,270,339,485,135,842,987,000,134,070,060,177,152,036,291,888,389,887,
765,057,553,421,205,574,482,949,672,812,676,801,533,405,812,437,566,011,200,
550,635,841,816,689,555,703,766,247,972,961,164,224,791,589,423,163,738,331,
504,689,949,579,889,317,909,665,788,612,425,260,347,916,161,442,048,390,010,
460,951,062,194,883,233,236,012,400,653,930,512,319,549,204,788,741,002,044,
255,204,173,178,123,282,304,384,212,144,945,661,889,849,617,343,669,538,135,
864,538,510,346,328,277,596,745,569,916,235,735,314,668,995,048,809,013,809,
295,778,715,024,532,042,291,402,959,759,076,087,481,756,231,695,541,775,381,
149,986,044,800,309,828,663,588,493,527,075,848,865,613,179,521,250,448,360,
629,338,652,603,793,568,845,681,671,375,818,517,405,991,605,128,177,984,246,
332,904,532,331,632,424,412,936,826,651,221,210,262,221,037,179,700,375,721,
425,730,176,277,306,970,896,873,597,622,621,418,639,279,872,280,051,345,523,
164,892,491,681,936,781,246,674,023,597,517,974,026,532,831,977,073,708,771,
931,087,101,036,282,648,750,352,777,075,065,867,919,114,828,966,126,836,221,
446,602,944,342,844,969,408,984,873,703,803,090,778,634,885,472,973,387,722,
356,940,608,913,361,866,955,951,815,048,164,034,959,398,008,198,259,771,772,
567,188,387,861,082,745,288,195,325,801,927,093,342,636,656,929,047,025,288,
569,547,092,553,452,122,924,968,986,327,401,820,252,027,589,518,535,195,705,
070,103,138,507,483,452,234,624,524,084,332,643,664,166,265,289,413,992,053,
270,092,782,225,578,362,438,416,602,743,793,368,329,145,009,657,185,677,581,
139,690,377,348,212,969,316,845,439,890,732,581,669,323,279,438,770,960,960,
592,740,223,064,203,170,429,008,042,698,675,762,537,234,133,157,985,713,699,
441,515,947,022,844,625,018,756,427,731,828,775,321,273,847,141,900,112,716,
386,142,194,812,045,756,548,602,547,213,284,516,734,781,329,682,686,909,587,
486,942,093,645,518,399,357,424,647,387,850,284,453,091,520,889,433,044,051,
729,544,321,580,650,419,528,560,208,133,039,883,046,427,535,085,593,863,786,
474,271,555,287,471,325,336,911,469,788,668,360,556,973,859,432,581,271,258,
651,539,441,876,943,723,432,098,484,417,429,608,334,453,975,160,536,121,746,
952,432,944,428,847,997,341,075,782,963,947,109,218,814,559,512,356,032,991,
825,960,413,178,896,262,693,760,624,048,370,464,992,287,253,161,581,445,089,
614,437,831,942,189,884,883,049,025,569,308,790,126,836,737,445,701,130,769,
961,744,969,056,065,947,546,340,130,049,530,110,060,619,298,845,006,103,422,
465,842,529,299,481,391,955,353,912,317,244,375,997,510,091,980,897,611,107,
071,228,584,634,759,442,052,581,479,872,878,030,288,040,942,644,186,034,275,
819,825,396,170,268,900,015,166,638,535,457,340,605,132,001,446,053,835,836,
701,071,462,913,992,081,669,362,773,630,521,445,000,420,731,290,651,251,241,
476,853,427,577,719,128,438,620,640,204,159,695,777,383,643,175,377,464,596,
487,883,619,717,036,656,787,424,518,941,112,858,647,316,779,042,621,790,592,
533,968,118,627,815,919,944,549,779,148,820,090,218,707,827,746,866,816,349,
880,693,182,688,414,071,138,853,271,723,937,134,955,790,403,928,248,693,467,
604,487,521,693,130,891,390,332,704,789,387,493,973,757,594,992,647,338,286,
289,547,444,988,591,761,212,003,990,001,062,928,577,886,199,314,772,323,644,
276,211,716,217,516,552,953,836,083,665,310,727,855,112,580,646,873,328,195,
065,080,417,884,307,812,034,448,535,421,090,187,587,302,985,375,346,832,442,
083,143,548,401,746,268,082,055,255,198,408,773,199,022,618,435,377,904,161,
533,806,508,049,855,608,720,778,300,840,972,255,781,760,253,343,402,851,707,
349,574,303,846,515,234,635,567,609,460,468,210,652,290,392,508,176,432,530,
725,186,511,206,341,105,395,842,763,461,664,921,668,874,123,639,143,386,549,
429,101,714,476,207,860,686,049,544,506,480,411,898,444,790,180,793,820,349,
000,465,468,692,983,353,440,996,622,896,325,872,495,957,542,278,920,990,029,
335,882,372,507,220,856,763,203,302,878,992,512,177,677,420,885,139,045,252,
076,968,638,646,915,825,816,057,521,457,258,858,432,182,976,273,808,603,967,
410,097,507,464,444,958,605,611,934,364,034,121,113,997,633,806,310,397,237,
587,420,043,039,347,678,942,104,146,651,358,317,651,647,856,760,530,561,345,
522,802,290,219,035,612,948,813,918,808,220,204,744,302,906,166,588,402,622,
793,099,958,527,918,089,561,286,524,462,046,500,620,193,654,286,578,412,651,
699,204,459,224,789,113,221,680,036,401,968,536,942,299,086,864,326,053,533,
686,560,194,202,796,568,756,424,953,197,761,915,321,392,129,379,558,017,923,
917,546,293,695,242,708,856,187,159,233,694,955,529,364,754,414,684,626,729,
696,258,560,731,596,923,185,170,597,023,600,422,640,561,973,098,419,406,655,
438,135,720,665,252,842,976,609,435,385,271,357,076,935,634,950,343,082,853,
040,058,794,404,645,521,659,685,820,002,498,242,886,632,210,180,691,044,979,
739,926,835,164,963,858,207,748,486,348,535,792,477,667,777,295,701,568,497,
089,592,375,924,886,106,928,973,888,481,015,508,102,083,586,399,828,105,073,
406,943,393,307,043,137,895,626,516,634,885,978,540,499,344,539,978,412,462,
935,687,651,173,025,923,945,890,615,427,646,897,626,385,958,132,479,175,275,
992,208,721,875,669,045,557,907,369,856,297,079,735,089,670,048,326,230,806,
834,351,298,944,301,169,496,282,905,808,727,913,953,021,210,353,973,575,904,
097,639,309,859,563,819,108,723,940,067,120,869,974,615,511,230,130,845,726,
132,298,996,869,049,379,400,240,442,385,855,419,035,342,623,711,407,120,884,
742,967,221,234,804,100,423,004,981,896,105,318,438,779,643,870,633,861,017,
546,899,725,929,444,038,474,043,732,263,398,444,140,684,309,806,686,453,981,
806,781,851,574,451,821,015,500,668,394,577,535,038,759,698,196,480,506,504,
227,282,735,619,869,922,283,697,135,697,890,807,760,382,867,119,665,254,916,
973,762,252,327,260,265,155,909,389,533,323,561,047,466,829,784,147,920,670,
815,490,887,649,987,585,086,570,942,241,926,005,847,306,291,712,975,562,920,
388,754,399,969,908,910,775,828,252,353,547,862,096,999,395,449,965,715,598,
489,895,377,835,801,183,289,160,800,058,834,877,363,206,844,698,235,575,652,
469,045,567,334,579,415,011,115,210,372,630,949,013,097,189,041,741,954,649,
054,529,098,461,319,916,420,845,313,967,758,160,515,014,126,062,625,684,863,
316,555,960,030,327,165,889,067,619,277,335,289,110,501,818,396,325,558,861,
220,569,932,521,258,146,350,256,935,961,219,471,587,923,812,812,899,527,240,
407,615,964,561,822,537,512,576,216,393,551,314,818,532,384,012,865,980,607,
609,340,778,918,396,342,517,568,591,697,429,321,866,541,682,746,558,910,560,
850,765,931,282,717,921,773,974,416,230,889,321,354,557,828,349,386,058,182,
789,983,033,249,188,351,737,642,847,564,649,989,072,106,670,740,822,090,333,
819,978,047,690,353,152,458,605,548,062,232,152,948,154,189,290,358,444,379,
265,260,451,855,343,571,505,427,008,355,050,998,695,520,586,490,706,712,743,
496,383,830,735,643,503,129,927,737,913,021,502,954,794,052,020,871,945,124,
239,005,256,088,802,442,604,466,741,741,774,191,562,622,156,047,333,904,918,
992,357,371,663,989,920,751,332,488,241,782,309,133,782,131,296,972,109,593,
333,773,756,996,802,020,594,681,086,482,499,629,127,878,937,995,226,133,686,
550,363,438,703,667,824,847,397,994,247,556,488,685,846,869,047,619,960,829,
622,050,579,880,851,877,249,456,802,036,479,623,034,397,643,606,032,898,723,
105,060,689,259,878,287,115,803,679,539,926,993,025,007,082,742,479,208,396,
741,717,236,508,391,905,415,148,500,049,006,202,174,518,208,740,538,201,168,
955,884,705,592,556,609,632,276,363,113,674,310,765,119,412,735,113,772,392,
681,903,441,263,997,859,358,723,576,130,589,781,225,486,007,044,236,971,414,
823,550,202,723,448,901,371,899,627,995,106,175,227,289,908,268,777,083,560,
531,257,307,479,085,676,536,323,853,595,396,967,507,716,651,549,593,134,748,
881,654,846,668,207,624,448,336,594,382,617,956,734,029,804,794,277,921,113,
511,105,919,105,265,810,187,679,384,024,567,386,124,701,324,279,782,245,708,
671,474,771,160,978,980,675,775,258,384,052,013,308,987,588,186,985,086,809,
688,771,094,975,489,742,295,761,604,022,768,698,509,704,330,750,968,815,574,
184,624,184,027,699,835,241,129,030,567,267,248,512,963,369,068,420,960,409,
948,476,099,045,072,676,036,574,523,084,258,476,150,823,763,897,895,968,888,
264,134,574,936,854,228,820,769,577,538,098,306,456,244,703,309,387,369,159,
299,619,723,365,912,976,076,921,254,334,549,062,853,060,507,269,957,745,035,
058,602,452,972,687,629,379,331,684,741,737,871,602,669,685,119,065,304,603,
912,980,757,161,226,357,635,962,739,023,989,973,871,627,958,324,903,952,212,
570,754,559,527,025,157,502,417,044,639,009,647,891,622,772,151,037,155,290,
126,995,423,465,657,565,447,869,638,466,935,193,754,810,373,520,391,656,383,
764,843,889,815,822,553,175,929,448,531,743,967,094,896,125,973,048,450,114,
307,862,789,319,941,876,989,564,917,450,517,483,563,213,094,954,992,919,387,
216,679,309,893,571,635,249,953,625,377,550,627,169,024,600,888,845,012,664,
409,669,633,298,833,635,951,265,942,769,357,126,876,669,521,016,045,052,983,
824,006,717,699,682,733,664,296,154,022,091,583,937,406,966,478,229,696,711,
283,023,054,610,285,234,687,787,955,456,341,292,360,949,979,777,748,675,408,
622,103,066,671,840,845,818,826,544,132,051,025,706,669,124,599,040,759,501,
937,236,488,859,570,420,634,120,187,770,573,202,823,168,029,322,009,902,719,
084,511,173,543,515,667,047,969,761,672,906,378,924,275,622,326,535,565,930,
418,154,922,731,345,978,875,066,456,048,072,884,230,175,966,016,333,805,338,
637,693,917,363,993,615,203,438,696,437,284,116,658,440,462,285,904,474,457,
917,449,110,174,016,810,113,821,651,791,246,192,681,336,701,638,735,048,903,
492,611,318,629,794,615,777,102,369,224,922,167,217,768,459,166,320,946,136,
560,430,032,211,746,011,217,017,146,058,377,265,116,661,242,685,639,209,042,
604,857,411,648,058,069,735,829,055,644,222,570,887,616,615,994,712,888,650,
809,400,041,922,632,496,468,961,869,498,677,059,078,434,041,735,273,928,392,
903,584,287,728,632,341,064,838,123,144,678,083,461,159,811,339,233,164,520,
428,422,415,994,151,141,826,174,520,097,372,127,867,586,406,798,978,249,614,
480,072,761,737,359,030,575,190,844,731,948,774,123,787,632,107,537,212,432,
535,161,697,328,454,746,536,516,769,763,175,152,902,075,512,396,529,665,470,
714,272,104,484,096,767,145,876,384,124,799,691,615,336,208,687,064,734,311,
972,037,853,319,267,727,000,902,008,738,413,350,530,574,119,069,336,233,284,
694,665,266,646,388,255,612,434,768,400,251,441,356,663,003,429,984,120,720,
620,477,432,199,055,122,319,811,216,613,730,993,151,263,185,492,614,170,894,
731,116,233,564,291,282,283,172,244,899,469,837,756,546,556,460,048,165,011,
281,382,536,179,927,702,370,574,940,724,739,676,622,101,646,297,910,333,231,
946,937,392,844,351,075,219,116,327,931,123,262,350,927,320,303,904,279,642,
331,080,321,463,741,128,304,749,022,840,380,617,264,743,010,224,121,533,486,
300,403,107,311,488,490,624,880,761,339,148,899,218,860,976,441,364,608,821,
396,987,985,388,064,248,444,372,367,762,319,905,302,588,783,683,266,641,397,
791,570,743,642,472,610,553,950,670,962,670,811,008,889,298,785,811,326,904,
203,976,830,576,286,918,761,415,750,840,373,328,256,711,055,448,412,440,715,
881,142,693,278,654,494,217,420,294,018,254,101,234,184,174,582,244,458,229,
252,928,693,482,047,961,334,111,541,875,613,037,185,297,036,398,294,112,882,
288,083,097,124,918,295,345,202,019,549,077,522,408,297,892,353,589,836,545,
136,363,451,538,395,525,644,682,687,237,867,423,919,200,486,861,310,186,767,
015,383,069,723,035,659,714,060,051,560,858,012,741,993,406,794,640,037,733,
267,428,868,321,583,403,543,128,751,001,727,132,672,911,342,887,527,490,602,
539,187,839,858,568,410,828,152,238,749,803,777,716,509,737,758,911,954,934,
754,346,016,078,706,116,646,672,064,013,936,145,489,412,080,912,929,735,439,
496,730,708,392,115,315,224,234,552,952,198,982,903,313,833,220,191,132,603,
891,583,233,213,140,602,557,490,398,566,120,451,354,819,821,713,904,936,770,
479,360,211,931,123,675,646,724,771,230,390,248,360,362,284,848,507,433,992,
635,642,813,175,213,067,782,838,490,628,087,585,523,187,634,036,915,298,580,
311,585,739,132,951,354,819,963,997,318,837,182,074,386,572,458,366,072,607,
489,057,096,428,061,318,227,757,839,070,423,657,598,987,284,359,942,960,709,
933,186,375,671,479,639,579,787,097,566,889,181,839,777,118,740,686,547,462,
456,359,818,417,748,058,425,786,866,230,775,896,890,365,362,669,694,943,495,
650,636,229,483,307,467,471,515,841,397,019,906,965,819,810,458,138,542,563,
005,449,763,203,931,407,772,168,154,905,820,675,486,902,734,640,714,516,497,
423,256,867,512,641,555,555,186,259,600,086,183,125,107,553,496,522,895,851,
871,360,393,524,253,051,052,615,707,293,727,496,583,117,314,163,642,233,885,
563,613,474,010,309,640,898,294,294,953,830,922,652,663,819,174,851,079,537,
315,874,404,425,517,511,312,808,108,386,175,213,030,875,928,058,647,018,744,
264,077,600,663,446,487,089,387,985,613,148,101,343,751,125,557,860,734,132,
369,972,928,063,134,696,449,494,224,950,454,985,681,745,593,130,249,491,710,
291,130,924,415,004,729,016,959,353,275,832,129,886,811,572,105,910,287,902,
565,360,183,738,910,659,865,287,024,052,029,431,861,573,630,978,317,853,006,
280,562,650,990,603,032,431,723,585,643,999,445,875,464,433,980,541,242,248,
932,157,156,682,079,825,503,612,915,380,628,072,275,110,231,411,141,305,441,
856,511,660,732,643,349,761,834,943,081,103,842,890,093,145,175,633,470,750,
685,419,890,777,156,253,549,431,495,555,107,671,472,908,310,993,058,191,062,
349,362,314,250,842,680,046,885,157,985,522,381,677,077,765,090,016,255,773,
462,662,363,749,738,249,922,935,159,526,725,468,122,704,687,430,968,681,661,
236,840,253,349,736,952,273,551,247,221,103,547,902,401,096,490,265,492,746,
492,696,191,128,036,592,428,668,371,676,544,290,407,831,410,102,044,085,976,
394,938,959,703,310,283,101,346,265,941,989,627,205,466,431,118,407,810,632,
719,801,239,638,631,201,787,270,556,213,029,741,561,406,617,551,280,820,682,
360,312,420,083,004,736,141,159,819,862,996,019,119,125,699,703,490,818,429,
826,052,681,026,190,304,021,706,604,801,637,951,257,594,032,860,162,479,269,
870,569,173,109,378,118,750,893,111,171,221,944,265,412,804,362,142,733,889,
986,884,660,113,273,332,772,879,568,465,111,851,087,609,982,416,063,705,852,
476,121,272,165,240,124,695,766,313,798,063,108,669,560,480,805,766,292,668,
084,870,285,490,681,992,364,701,553,484,363,146,424,128,851,584,865,019,849,
764,656,379,769,079,184,259,382,292,530,154,656,250,836,252,750,476,064,546,
944,733,337,851,610,993,317,068,602,738,683,128,197,528,178,989,535,156,572,
213,028,728,398,539,331,124,391,967,804,201,961,883,588,427,571,253,554,814,
806,969,377,166,192,931,730,906,038,470,864,747,677,065,195,475,439,010,017,
827,336,270,765,600,681,679,439,450,350,806,357,440,630,745,516,534,158,635,
088,692,216,233,360,365,228,247,990,639,670,598,324,000,538,862,739,264,902,
324,983,337,960,892,682,908,470,795,655,063,450,704,189,807,620,547,150,462,
357,276,788,485,089,471,350,478,967,896,254,552,606,936,245,170,990,599,237,
182,717,878,427,293,611,319,288,328,746,582,338,393,260,352,174,921,095,349,
969,759,016,792,865,336,610,000,202,673,309,730,213,666,772,174,770,315,523,
136,839,643,773,972,864,780,397,154,329,804,591,668,795,007,986,123,290,841,
534,590,981,123,130,218,332,912,729,685,575,392,068,676,324,142,582,259,476,
203,368,721,984,188,589,775,342,013,788,083,964,201,760,359,842,103,244,564,
734,402,756,861,069,451,977,245,800,119,835,883,383,107,705,342,226,579,296,
025,681,785,931,235,195,688,529,948,156,888,519,363,156,858,331,728,112,258,
397,147,922,413,116,255,376,889,365,772,510,328,768,662,197,265,728,569,163,
968,489,748,739,525,215,916,423,962,894,075,767,218,960,652,767,206,592,896,
390,702,135,874,841,020,753,392,270,751,009,205,233,808,511,029,642,482,808,
033,637,748,003,549,569,086,009,377,992,409,052,181,165,345,399,291,785,371,
926,483,425,107,374,441,031,252,858,621,705,651,491,133,826,221,599,366,647,
529,318,795,529,177,496,097,659,391,859,503,564,311,300,562,966,759,768,931,
675,047,306,422,328,344,327,136,673,671,722,675,070,765,256,746,997,271,940,
747,843,647,015,091,398,282,405,133,788,427,554,556,626,439,143,199,112,793,
462,554,153,411,237,229,002,895,675,219,039,804,492,380,927,039,839,468,827,
083,872,658,739,612,266,402,697,982,073,640,582,671,064,235,481,999,097,431,
302,460,021,197,113,746,865,209,652,942,260,211,261,959,157,576,407,211,419,
780,310,178,148,090,616,922,834,347,385,049,879,702,455,199,789,151,958,575,
992,076,657,442,832,378,425,680,253,610,903,144,734,932,627,642,569,128,159,
362,013,261,109,888,513,976,861,661,056,596,656,219,624,550,583,943,159,342,
256,978,902,411,739,431,649,682,573,890,341,128,238,257,836,667,069,087,823,
994,262,327,898,981,441,531,441,801,749,988,358,814,768,204,614,207,539,261,
632,995,833,136,086,072,828,321,870,872,837,352,231,483,924,614,915,742,806,
339,148,390,665,278,263,151,868,311,827,863,063,162,096,972,084,049,586,242,
205,246,670,524,823,064,880,292,888,949,622,089,564,987,915,283,778,993,194,
222,518,673,025,989,258,894,393,171,659,202,178,636,003,828,217,218,482,835,
538,378,276,908,384,440,066,914,635,986,432,262,362,120,930,971,068,158,197,
945,949,478,812,349,333,208,128,666,524,310,993,700,702,056,592,932,538,699,
354,835,827,430,458,021,358,915,479,983,512,870,052,895,126,465,548,305,157,
206,657,176,691,004,414,276,452,575,561,812,113,826,531,719,110,204,426,794,
863,665,085,086,555,008,691,954,341,277,629,502,809,216,882,095,599,607,035,
858,730,065,498,958,353,171,122,753,868,227,201,546,422,568,381,052,547,140,
647,164,865,945,524,429,205,052,694,207,537,732,595,697,271,703,120,710,840,
352,390,952,541,216,541,587,239,317,152,441,856,662,312,619,776,698,698,568,
637,355,071,875,785,829,133,550,175,050,485,480,420,893,897,973,788,190,869,
193,492,077,266,199,442,497,734,551,030,298,816,787,883,420,452,259,745,452,
633,534,352,003,998,028,013,586,635,423,192,723,463,967,499,804,781,798,804,
629,382,962,971,617,800,620,326,436,428,865,423,075,819,281,374,165,246,916,
953,960,190,214,306,392,950,221,475,862,650,762,384,969,361,577,477,867,803,
148,489,155,753,892,357,686,897,390,780,456,086,661,458,967,571,226,486,521,
172,411,261,515,976,944,818,485,574,581,705,105,639,996,525,438,546,273,280,
382,855,681,859,247,692,556,628,242,466,244,142,784,704,625,760,547,724,828,
728,686,837,619,952,478,406,689,815,751,274,789,154,658,255,170,075,273,687,
662,269,759,628,141,032,296,142,986,353,636,885,621,456,441,919,103,991,870,
024,902,956,637,833,409,672,260,678,839,029,138,568,488,754,113,091,071,381,
162,205,744,113,019,985,797,570,103,272,042,527,474,499,427,662,626,333,725,
737,926,547,798,288,346,976,790,874,617,147,885,771,624,850,180,970,868,307,
354,454,610,948,355,845,687,216,968,952,187,846,119,903,934,031,851,030,125,
599,591,752,129,257,335,958,486,495,390,495,601,338,014,503,634,094,177,709,
173,156,183,423,902,389,836,415,758,541,498,807,261,234,843,107,206,363,325,
664,580,454,666,843,746,653,530,272,522,911,503,308,146,802,575,152,484,377,
855,311,756,415,763,805,815,030,667,802,873,444,968,596,537,798,849,557,421,
226,147,073,877,743,547,156,282,710,172,419,702,737,162,071,025,991,984,625,
617,212,442,966,030,255,023,745,231,145,981,112,163,076,487,678,533,344,696,
156,660,587,368,618,491,743,231,649,782,162,265,779,211,912,330,788,794,393,
135,060,115,581,710,574,571,263,378,366,603,149,286,834,153,755,862,497,409,
729,080,066,692,666,486,036,932,092,286,944,990,766,912,899,706,489,360,848,
813,733,487,354,609,026,012,311,437,050,386,259,728,085,852,613,057,122,747,
330,442,712,636,722,021,294,704,749,120,783,761,305,786,566,363,044,860,823,
909,545,442,063,952,272,318,232,728,138,337,062,038,432,460,454,404,444,164,
894,642,680,850,122,859,889,230,547,436,696,141,460,138,226,323,516,465,357,
927,114,779,704,022,717,325,535,845,226,784,386,099,125,902,273,290,834,872,
705,777,352,777,008,130,634,715,460,975,541,191,539,592,725,708,456,271,156,
832,729,688,173,047,917,836,486,588,336,715,254,640,475,768,068,841,437,414,
723,560,824,171,460,911,202,749,726,609,328,295,621,853,507,568,846,886,833,
374,194,404,097,995,599,863,432,081,740,865,953,463,948,519,324,584,123,352,
791,699,169,357,056,753,960,956,245,882,857,298,234,486,892,760,024,341,711,
280,768,669,479,546,369,912,744,921,903,145,623,664,715,581,538,331,612,962,
572,324,169,643,971,432,235,281,739,252,727,511,385,197,028,504,480,114,873,
868,679,601,289,019,430,718,574,957,555,929,731,074,256,953,686,256,936,305,
045,063,325,995,964,445,289,431,742,504,677,535,925,785,287,960,064,330,122,
436,406,147,525,165,517,358,424,531,067,734,798,156,080,049,437,143,677,103,
575,925,969,335,154,165,165,624,806,375,715,121,181,222,513,043,384,784,145,
888,418,723,801,364,795,904,143,925,242,523,822,163,886,868,210,084,180,500,
613,695,308,943,863,582,554,695,640,100,253,155,623,483,785,845,888,517,721,
729,397,334,193,014,432,764,670,538,430,596,402,057,400,860,095,498,581,651,
933,061,736,113,563,760,892,234,217,223,718,840,437,855,282,181,452,493,062,
977,311,885,919,827,270,641,104,819,132,474,560,942,944,708,382,216,691,157,
675,935,994,556,044,386,104,763,431,859,284,907,506,003,193,242,748,816,450,
708,374,916,219,263,090,657,913,503,474,421,939,682,293,868,566,225,280,232,
829,730,118,433,314,313,782,987,935,833,248,806,502,932,130,966,292,334,056,
311,458,045,855,969,194,031,946,646,850,655,134,804,928,274,983,551,251,445,
608,206,630,651,760,002,014,700,644,798,500,389,470,777,012,172,011,549,449,
991,689,955,674,682,713,755,915,575,735,901,319,123,011,658,013,215,016,893,
971,449,866,554,557,111,115,020,372,137,845,949,741,209,554,895,916,425,156,
219,105,213,036,854,239,246,599,398,554,395,406,039,120,731,706,029,805,386,
607,530,678,792,556,279,672,979,631,181,023,115,966,338,469,903,945,629,346,
189,540,760,897,485,664,449,132,508,652,048,682,761,124,313,964,037,922,357,
587,008,972,114,137,057,935,414,789,735,824,344,863,050,975,259,550,966,260,
956,593,068,100,750,246,311,744,786,968,074,865,658,943,757,892,978,974,156,
431,548,345,849,189,877,133,920,060,093,088,474,915,608,832,352,094,110,523,
468,139,172,941,282,211,338,785,151,996,642,975,430,669,464,063,920,401,647,
779,394,907,394,738,570,793,089,364,661,444,344,866,151,084,927,023,795,548,
222,921,871,969,206,121,774,790,457,912,158,198,215,189,579,329,242,176,528,
466,752,353,902,205,770,524,007,022,462,602,062,698,322,184,194,544,768,499,
678,005,148,032,498,383,870,246,400,125,390,530,446,420,748,198,839,218,862,
135,818,303,647,209,620,621,891,910,860,629,690,047,413,841,057,621,548,246,
853,554,524,122,036,467,020,471,439,165,245,520,903,197,752,225,003,278,945,
983,178,844,540,359,585,831,954,469,185,802,798,663,899,488,200,343,102,436,
276,366,924,529,282,345,154,592,958,274,488,951,701,093,247,792,583,657,524,
000,081,569,963,490,363,691,221,675,926,630,946,650,466,847,614,738,528,185,
574,846,246,146,017,939,263,278,231,652,023,406,353,240,746,625,714,951,430,
771,931,561,562,205,765,524,369,117,717,811,931,943,294,337,087,855,570,775,
932,040,137,591,064,747,264,096,640,280,036,135,824,483,834,055,586,939,109,
408,179,005,609,234,281,780,966,028,891,798,425,685,607,406,348,266,803,412,
414,653,986,897,160,340,279,588,117,263,992,060,709,011,089,169,808,358,120,
087,439,669,345,690,452,994,447,575,248,097,489,891,478,701,091,173,864,630,
612,726,143,939,365,673,584,913,235,706,344,542,729,226,894,001,002,308,547,
231,624,644,624,736,668,362,305,532,168,650,614,105,254,684,760,369,201,551,
014,186,000,221,669,930,577,039,516,576,020,986,857,171,913,733,164,895,617,
141,168,704,232,287,895,467,665,288,955,098,662,896,363,820,075,129,800,383,
834,091,232,023,134,591,136,201,033,921,634,992,602,459,226,867,124,288,239,
921,280,963,887,047,788,516,469,555,388,425,555,933,204,972,112,409,253,729,
953,116,836,584,747,748,223,432,147,346,208,152,226,680,761,722,961,024,967,
130,814,665,889,602,801,721,433,464,215,649,196,069,024,855,419,065,832,763,
074,745,490,154,692,728,489,321,868,021,925,590,515,446,203,001,059,193,374,
493,457,021,618,965,589,006,874,905,742,342,965,177,214,054,327,641,293,734,
272,303,957,832,030,751,464,687,749,681,715,986,775,069,168,128,525,126,930,
391,627,375,945,115,892,289,043,738,775,471,399,535,988,308,703,155,132,448,
964,507,416,916,945,842,149,870,198,186,015,971,430,293,536,587,701,792,734,
587,767,426,911,692,859,202,231,431,088,638,986,424,428,752,320,925,794,460,
092,123,924,052,165,137,185,244,125,143,708,499,087,511,393,123,243,848,295,
490,585,931,781,562,822,855,051,237,441,588,194,198,974,775,255,716,842,147,
784,776,656,099,152,520,122,281,914,140,127,267,324,413,806,291,300,581,322,
002,041,783,683,723,830,881,854,497,120,629,679,543,327,212,716,140,308,058,
056,567,126,866,640,600,774,641,845,621,726,272,696,127,713,281,172,065,147,
101,562,362,642,943,166,188,894,597,648,359,208,555,013,624,263,490,883,357,
052,725,293,791,063,139,517,043,937,452,222,335,944,758,166,531,972,482,611,
214,816,905,241,306,200,486,220,505,624,930,638,957,496,544,433,423,445,293,
171,862,498,088,751,287,771,601,790,538,683,296,066,242,077,403,880,096,388,
485,266,423,444,364,342,916,463,085,181,816,022,813,752,046,466,150,836,675,
629,698,938,258,864,994,158,234,993,263,075,990,652,378,795,234,645,482,729,
972,133,286,081,634,553,796,131,050,917,248,575,610,274,836,941,570,763,241,
355,530,197,258,073,494,455,994,246,723,160,634,822,605,327,585,857,486,812,
742,156,422,542,546,675,466,423,523,010,590,577,013,697,264,901,989,201,411,
241,668,843,171,637,219,803,137,466,663,146,395,227,276,964,744,504,900,571,
907,713,984,148,542,094,104,136,694,704,687,804,186,161,979,047,318,680,681,
355,859,664,774,504,210,172,034,269,972,963,497,793,615,404,953,402,100,877,
207,953,078,177,844,433,528,858,154,230,725,371,704,831,636,608,000,773,091,
031,899,345,692,431,197,629,320,291,363,233,244,632,425,925,082,698,460,056,
645,403,352,784,305,539,315,063,355,849,560,391,402,220,599,362,869,054,364,
793,245,071,574,361,099,274,081,841,092,566,664,428,487,318,924,903,420,930,
558,702,843,344,381,128,635,865,160,417,250,850,753,876,742,157,767,927,994,
063,907,590,756,634,389,560,908,580,317,613,467,963,080,104,906,147,064,605,
865,699,569,155,159,204,341,090,885,311,372,586,826,258,829,943,569,554,731,
208,400,494,120,523,559,981,681,616,916,874,734,188,506,476,255,757,292,652,
696,832,035,722,527,381,412,178,172,068,349,615,191,315,391,025,158,319,323,
673,572,358,356,397,628,837,638,158,458,757,515,634,225,500,632,291,888,582,
918,248,105,494,368,408,248,994,983,342,505,312,668,336,518,055,579,796,134,
172,244,290,510,837,155,923,124,437,020,875,377,922,050,246,258,563,891,448,
793,423,007,157,399,355,727,784,008,320,889,708,120,707,989,726,487,751,799,
754,833,531,162,942,211,108,659,328,247,714,942,084,366,384,220,647,648,593,
418,446,022,557,973,088,813,131,699,955,970,162,070,732,974,982,308,625,758,
421,400,263,925,739,403,194,008,626,301,456,160,366,635,967,064,088,704,188,
449,098,833,123,574,523,508,253,967,469,021,353,274,606,754,235,787,475,779,
341,445,426,898,598,121,879,827,791,534,580,220,992,961,459,435,726,023,371,
975,687,317,987,937,541,504,852,162,246,212,820,080,466,376,770,102,611,501,
363,968,622,294,277,373,227,471,646,678,503,944,033,823,741,532,759,263,725,
122,275,384,646,281,528,776,170,608,345,124,237,238,143,827,176,092,957,586,
889,338,911,674,394,254,465,880,796,055,508,974,509,475,235,852,110,342,319,
618,762,819,175,779,579,487,350,746,951,884,330,495,802,397,524,447,635,522,
317,333,739,741,090,157,531,835,039,379,314,903,757,973,650,796,067,163,701,
026,470,907,593,071,500,858,623,714,689,230,686,704,952,408,153,479,642,328,
604,740,265,459,609,089,441,674,538,645,390,983,216,292,600,879,863,931,320,
977,897,548,601,471,883,940,237,540,644,273,256,836,057,458,853,304,842,346,
509,551,150,410,283,938,693,436,425,909,662,639,652,050,824,470,502,955,985,
117,549,939,646,655,286,461,623,345,585,814,223,743,855,727,196,940,754,904,
991,056,916,905,333,150,715,768,935,050,496,396,936,031,022,376,690,124,557,
630,748,973,049,430,386,857,204,370,784,472,625,058,806,940,065,635,093,095,
065,181,475,403,206,730,667,512,768,514,520,019,766,748,192,694,481,409,245,
712,394,910,132,780,037,988,701,806,478,363,526,456,549,347,332,881,204,623,
600,294,774,802,408,915,042,993,988,354,931,859,875,641,752,533,540,514,238,
807,260,428,619,851,874,710,334,847,696,956,558,368,488,645,281,730,535,638,
431,494,739,609,225,108,026,829,851,874,578,571,533,653,481,275,592,171,930,
587,889,781,566,121,358,537,653,464,515,478,115,415,952,890,286,946,509,220,
207,786,345,674,734,810,413,330,066,121,736,245,131,108,346,561,052,472,203,
378,461,116,621,767,019,088,178,145,897,450,764,694,574,009,383,647,977,114,
655,574,519,868,674,309,060,306,312,319,226,575,941,167,032,926,112,549,974,
271,763,437,777,005,660,163,396,590,564,863,361,430,590,027,532,796,150,892,
788,986,046,758,336,565,873,312,319,870,788,680,166,734,007,100,914,308,915,
819,068,960,852,147,488,257,176,928,262,147,258,511,005,123,863,847,471,528,
103,263,213,601,283,515,182,983,974,788,667,607,744,593,044,445,681,077,631,
776,202,975,989,157,718,792,350,031,307,527,924,155,367,880,742,722,561,808,
201,695,976,592,484,189,207,491,006,056,118,268,781,297,844,737,472,623,894,
269,328,373,679,655,468,777,664,896,630,763,793,161,833,777,252,388,281,455,
148,066,760,943,913,415,743,121,855,409,078,393,819,293,277,470,528,295,050,
115,814,942,571,533,112,231,925,147,067,111,827,840,345,064,307,919,514,141,
947,136,103,373,524,592,772,052,275,378,436,838,042,189,686,211,907,053,288,
569,416,050,807,465,171,979,522,477,849,283,145,358,088,901,488,012,043,233,
655,626,015,999,932,246,164,514,827,273,697,681,064,078,164,754,816,262,480,
843,265,674,715,654,225,067,379,921,135,572,134,488,215,463,156,219,749,684,
269,672,217,764,829,612,163,266,152,463,748,507,865,484,282,897,600,841,569,
417,509,084,309,266,331,194,639,218,325,538,230,821,966,737,646,141,203,935,
690,996,832,191,736,086,074,663,329,490,187,878,194,672,519,280,182,217,871,
374,142,970,430,449,177,183,958,075,038,843,041,792,990,471,036,997,573,823,
360,151,403,595,389,223,104,429,662,427,398,159,635,244,098,503,322,113,239,
176,272,389,975,940,542,444,324,876,012,420,890,903,445,170,805,239,496,456,
910,764,571,787,840,858,969,842,057,256,753,760,976,324,262,198,488,153,979,
141,306,664,845,749,935,912,081,719,617,721,849,709,561,862,424,806,272,391,
189,460,387,233,547,182,787,120,928,211,400,441,176,039,114,639,495,021,460,
506,442,220,070,800,553,233,054,321,109,780,343,471,827,160,054,449,964,620,
667,620,247,490,203,364,308,053,170,528,312,059,812,774,404,620,475,762,147,
040,758,684,942,415,310,645,208,027,093,225,427,828,938,025,209,407,766,105,
670,210,830,403,547,986,629,725,072,797,042,827,557,789,776,866,493,746,739,
381,582,907,602,278,523,917,086,874,004,745,368,292,849,726,198,373,907,235,
594,196,225,233,995,892,102,450,839,164,697,743,672,244,094,146,616,297,916,
225,985,969,199,106,892,128,697,279,319,517,221,899,225,956,842,625,150,277,
138,580,951,640,671,306,575,507,067,127,369,245,800,445,047,967,482,565,396,
213,774,444,908,097,555,558,534,563,690,938,387,392,542,696,649,739,863,838,
686,509,665,959,436,264,865,645,341,390,863,179,825,339,600,941,722,333,463,
290,890,944,139,308,121,849,091,706,028,042,864,891,319,877,427,119,916,915,
920,105,792,094,259,314,471,792,409,767,866,090,955,870,862,536,441,263,879,
082,138,183,856,748,655,877,037,262,554,415,339,812,104,869,429,727,960,854,
927,964,789,802,614,771,676,067,710,248,178,818,814,466,816,382,316,086,636,
590,488,274,708,572,471,424,895,337,996,611,425,269,498,111,257,622,262,421,
416,637,853,004,983,065,544,009,703,062,602,774,618,353,282,069,829,948,305,
675,821,100,753,734,211,096,906,494,205,303,801,311,552,286,979,681,273,878,
169,302,756,534,724,015,503,828,104,031,788,531,786,542,400,577,098,305,540,
035,496,287,772,682,145,082,129,010,490,721,874,575,177,003,397,570,688,109,
182,604,525,267,449,241,231,666,441,464,395,589,448,791,344,862,145,060,927,
006,804,985,377,155,357,037,983,102,138,407,261,633,498,533,501,069,233,065,
416,195,603,316,781,231,131,125,779,874,707,604,029,288,131,749,256,114,925,
634,147,976,924,873,886,525,681,951,086,421,045,633,290,739,674,340,970,872,
007,880,884,988,068,659,885,097,470,803,522,347,280,559,283,714,898,430,733,
131,487,267,170,523,658,162,372,181,847,298,409,513,721,485,432,602,821,813,
713,276,289,713,045,893,169,685,174,717,547,912,688,848,710,276,675,804,747,
445,989,234,387,477,784,234,027,780,065,716,329,311,352,929,195,432,883,147,
586,833,071,688,559,615,381,994,604,977,444,064,226,420,050,119,942,947,011,
323,257,493,550,480,147,575,395,057,169,009,460,441,957,104,298,151,049,311,
875,240,478,949,226,223,123,914,030,396,048,342,913,690,841,098,281,524,367,
431,293,169,595,038,451,064,565,017,913,106,328,455,206,330,793,805,431,593,
739,275,923,382,277,072,305,542,589,866,074,126,950,706,523,199,064,696,563,
197,601,933,020,076,368,682,771,256,336,904,925,945,789,371,497,073,815,701,
659,965,372,615,737,902,058,112,639,458,216,210,121,822,547,398,689,519,034,
694,686,661,888,771,663,566,957,254,929,123,332,632,013,800,786,545,298,195,
048,149,328,074,417,339,724,312,916,055,092,024,035,436,252,605,417,622,747,
032,548,240,932,789,106,056,531,273,932,961,546,298,443,886,653,805,376,600,
292,076,973,961,950,848,139,327,187,120,453,410,490,356,461,144,950,443,633,
010,295,595,646,427,570,723,524,010,641,616,005,361,718,168,578,546,020,424,
062,126,462,334,493,041,735,455,859,498,277,993,119,502,815,680,162,420,554,
844,586,205,026,499,850,397,984,238,152,483,556,684,389,409,437,371,327,689,
060,293,735,644,006,033,997,186,518,395,475,295,053,296,615,819,586,363,108,
655,921,379,805,124,587,085,148,112,891,546,336,997,811,974,131,221,880,884,
465,224,287,323,272,202,670,950,343,158,523,493,779,092,477,664,362,098,481,
691,278,129,466,918,578,702,672,498,448,606,157,790,300,347,188,223,719,259,
900,907,333,981,582,640,138,090,052,372,549,446,899,890,412,178,170,241,759,
006,274,631,005,227,837,091,466,381,525,882,237,703,880,667,005,671,105,403,
046,723,777,676,579,218,485,799,248,566,963,227,424,126,490,148,308,106,474,
831,410,489,598,613,286,470,386,719,324,314,598,368,151,541,199,964,190,608,
451,948,988,323,260,614,449,277,674,224,509,263,799,689,449,114,989,870,008,
764,566,344,045,288,967,998,940,709,842,425,522,670,772,113,449,086,302,449,
842,968,183,007,331,258,936,268,529,947,225,069,253,967,756,648,675,143,280,
587,828,506,916,553,305,322,682,141,874,283,823,893,187,720,265,897,039,640,
639,735,560,705,091,078,214,685,304,619,792,807,205,195,823,432,485,029,013,
173,113,656,300,338,468,727,153,457,917,007,943,804,627,868,236,223,035,556,
253,269,431,100,150,594,529,432,261,037,658,416,081,013,096,536,282,921,810,
120,281,597,817,955,314,973,873,588,643,281,628,534,957,749,956,828,569,220,
808,833,495,694,041,144,994,087,930,953,612,431,754,059,901,047,680,179,525,
774,483,703,527,773,362,388,227,306,927,696,016,972,979,575,395,830,683,440,
545,929,710,855,648,459,217,257,111,337,474,344,784,069,278,131,566,321,136,
892,888,724,371,200,845,716,648,616,555,690,516,992,813,064,306,803,970,453,
888,924,442,703,305,471,424,949,366,495,386,006,429,775,406,038,231,520,045,
510,315,989,129,505,188,571,301,571,271,271,931,977,813,214,972,992,088,655,
085,139,215,176,050,612,417,526,869,924,814,211,072,192,137,696,061,791,048,
776,048,256,609,580,686,781,271,040,353,247,240,828,537,914,639,098,702,248,
904,966,173,914,224,522,364,453,083,139,486,064,037,495,164,718,738,104,847,
886,022,608,914,072,085,834,033,624,976,492,778,262,706,753,919,057,856,521,
330,014,363,552,177,149,395,368,509,518,850,375,348,173,861,801,598,589,353,
888,986,372,541,944,875,459,345,349,290,992,835,274,640,942,953,957,138,267,
014,558,927,818,439,106,113,469,045,816,093,289,162,792,395,463,887,547,189,
631,983,755,404,506,527,097,202,697,007,882,114,919,374,185,445,818,974,238,
003,236,075,769,577,445,142,321,536,864,192,956,703,178,388,296,370,247,730,
325,519,591,405,490,065,314,801,672,434,832,195,280,816,485,790,217,851,745,
628,036,719,169,994,470,437,483,471,572,098,119,473,782,463,142,727,661,000,
268,779,184,572,662,381,406,673,579,299,735,112,932,625,295,767,135,779,902,
050,120,211,652,370,665,268,788,081,249,423,713,679,782,034,141,212,652,199,
327,691,259,721,227,921,694,796,503,035,209,595,562,821,717,951,342,777,798,
092,390,567,453,791,233,268,206,058,179,327,977,707,138,382,957,370,857,885,
009,036,509,483,479,348,570,047,039,974,214,562,692,833,982,309,143,074,636,
860,578,119,706,482,410,650,222,795,975,151,374,241,049,712,408,110,617,066,
654,440,236,239,595,644,986,382,061,875,914,500,379,010,504,480,318,673,317,
643,083,153,010,199,795,044,239,285,271,150,540,172,335,637,192,658,949,199,
191,011,063,688,469,586,176,629,694,158,997,478,874,590,561,302,272,133,232,
644,581,239,092,745,447,257,264,294,561,320,530,281,344,238,341,790,652,352,
989,880,121,136,469,161,429,332,644,354,450,615,244,793,410,052,047,409,555,
820,318,757,291,364,896,894,897,221,335,858,741,820,528,197,501,306,396,336,
053,390,886,545,449,206,550,321,095,065,839,282,835,451,198,408,567,854,733,
664,685,852,309,742,760,045,780,497,915,160,370,301,872,577,370,476,942,889,
428,498,383,987,319,483,923,688,181,977,626,197,966,450,230,862,973,582,878,
074,289,787,032,506,353,952,777,237,646,812,934,210,177,031,543,652,928,149,
281,336,390,769,019,582,419,654,029,396,619,419,381,939,073,829,836,433,274,
414,452,591,912,495,214,012,618,626,057,972,408,100,838,390,041,853,347,549,
329,603,208,526,250,264,178,449,648,935,749,031,313,461,603,596,490,758,197,
009,235,542,154,150,394,688,951,226,801,862,179,201,464,312,611,964,875,465,
344,004,791,485,465,906,571,961,152,601,872,207,095,655,478,451,573,431,001,
749,885,142,986,931,395,291,216,160,340,647,832,557,123,736,686,403,433,890,
610,097,859,596,464,343,730,704,264,840,269,513,196,739,736,856,383,979,431,
776,959,134,752,840,941,516,449,932,163,018,858,102,335,277,675,962,524,761,
868,933,778,326,490,814,352,590,219,705,131,903,215,298,131,982,367,519,714,
980,618,378,812,358,425,474,561,867,327,936,529,927,226,635,804,339,512,766,
750,085,453,947,511,431,628,131,274,465,168,201,150,115,547,443,281,555,871,
090,511,185,068,963,239,000,443,671,374,918,348,501,422,723,040,013,462,523,
552,570,856,685,748,679,408,150,219,195,369,659,321,331,799,772,548,471,047,
168,135,648,418,265,838,769,570,770,250,489,642,726,867,422,938,504,855,309,
492,344,691,909,308,206,459,116,351,171,157,916,674,552,282,817,153,122,841,
714,967,453,055,436,407,426,195,839,411,816,447,555,736,530,027,558,298,464,
941,690,488,298,050,492,813,118,138,293,315,387,913,763,663,857,084,585,185,
686,764,099,120,794,487,125,481,830,207,883,537,897,734,439,616,073,260,145,
114,408,308,496,085,612,330,186,419,011,664,617,031,830,186,737,479,501,424,
410,822,241,665,489,290,390,761,741,816,413,750,407,922,687,263,821,720,955,
442,516,790,576,974,512,784,546,487,351,184,049,191,929,598,962,730,769,116,
155,261,467,682,567,507,541,894,423,629,961,754,228,346,502,738,673,570,668,
991,864,801,699,584,231,260,683,338,962,339,786,762,546,143,895,334,362,768,
071,217,286,807,280,497,427,542,898,433,350,682,130,519,647,866,553,998,700,
490,579,122,058,086,035,781,030,580,154,956,361,316,554,475,979,809,129,470,
413,792,059,478,981,263,103,240,689,010,500,334,255,452,525,955,604,222,803,
651,453,271,889,317,468,592,080,385,695,263,874,783,609,173,452,307,434,191,
727,091,727,863,384,651,401,928,611,230,628,914,421,447,102,899,568,044,469,
297,041,728,298,013,700,732,652,915,239,466,390,014,438,673,337,874,176,796,
724,637,104,349,486,321,516,123,144,339,196,643,152,109,833,550,532,181,157,
457,229,505,606,590,492,886,084,897,436,122,177,534,150,491,099,591,196,093,
209,861,685,503,566,889,081,615,942,234,935,652,167,934,645,617,705,760,799,
337,912,965,972,412,838,260,735,063,932,259,681,422,230,731,562,973,364,713,
180,755,912,335,805,770,088,351,558,111,540,196,188,011,010,762,357,000,633,
577,746,985,369,642,791,724,907,673,400,368,182,970,234,819,538,131,078,534,
776,251,989,179,528,696,572,883,144,852,752,011,424,553,538,700,445,418,863,
177,250,317,016,551,340,153,399,864,642,575,001,016,013,175,073,894,371,706,
522,639,923,274,902,810,956,620,795,398,871,205,103,070,141,592,764,210,492,
140,525,906,363,630,500,874,440,394,702,713,813,123,062,313,484,718,679,948,
302,609,579,928,137,150,256,566,781,630,473,983,731,799,387,617,709,709,681,
727,080,264,824,388,042,181,097,431,033,637,442,022,362,611,133,677,934,867,
293,169,637,411,479,313,369,370,812,345,398,710,721,683,072,498,853,743,857,
053,810,951,645,803,642,979,716,399,079,580,659,440,283,823,079,460,480,198,
443,616,200,293,823,547,309,367,358,797,662,595,451,169,042,810,544,110,141,
572,361,031,004,046,704,495,729,761,088,607,722,440,122,975,650,102,436,068,
901,132,582,108,919,755,338,357,843,304,229,399,313,295,384,461,754,464,936,
997,907,557,651,089,311,131,386,221,723,578,854,004,411,870,274,025,794,197,
278,089,236,231,219,524,625,904,968,950,525,501,512,916,233,521,667,268,782,
327,040,108,337,323,871,777,891,790,155,315,234,975,597,102,096,534,667,048,
176,758,564,443,051,627,450,406,760,888,474,610,090,124,688,827,199,933,748,
847,343,245,657,741,152,383,776,311,818,998,290,947,588,129,684,329,349,357,
245,357,520,102,685,451,780,572,452,876,790,697,312,000,669,522,775,557,038,
503,529,691,914,711,900,445,229,995,507,903,651,374,041,995,781,192,632,126,
937,179,248,003,053,384,573,965,255,624,826,966,228,847,315,043,500,891,645,
622,469,191,817,824,544,436,596,495,822,239,695,206,236,963,457,445,777,206,
873,829,644,431,259,458,322,897,306,843,238,594,071,789,893,485,235,306,100,
656,964,717,575,088,078,610,400,245,355,930,677,225,110,619,840,802,321,912,
374,929,015,154,915,233,344,022,326,483,280,643,090,008,131,622,005,635,438,
311,564,483,664,531,631,180,673,220,292,251,409,233,416,692,063,531,682,131,
465,974,028,860,552,699,041,950,707,448,214,964,775,209,996,408,599,047,739,
156,015,006,860,308,973,747,266,739,077,541,933,559,089,591,093,952,320,583,
888,124,467,462,696,158,391,932,465,405,756,797,994,708,695,809,520,329,114,
970,927,763,599,915,024,194,820,691,801,189,419,168,964,566,895,817,948,556,
155,809,291,796,030,307,152,410,990,789,817,345,594,211,836,453,020,710,043,
298,987,426,116,979,434,093,277,356,728,258,283,306,989,126,470,905,365,769,
134,678,261,554,473,891,624,904,375,573,721,663,198,804,715,592,899,939,321,
542,857,293,850,403,980,480,257,538,198,043,710,310,282,192,134,805,169,571,
238,470,308,472,292,624,095,132,640,188,718,330,745,622,778,470,357,097,306,
099,264,624,245,247,002,210,362,910,062,350,091,309,854,500,969,549,751,596,
927,618,954,836,261,199,265,803,502,401,338,487,380,854,294,051,021,967,999,
668,387,453,092,414,683,769,520,044,022,556,256,585,550,101,339,425,213,026,
744,060,802,830,781,741,689,789,354,213,233,103,077,472,963,659,968,589,307,
716,874,293,733,066,665,694,505,921,579,294,565,858,672,282,250,338,540,858,
380,674,039,439,570,088,306,943,055,885,262,258,578,673,806,899,403,105,447,
984,251,223,924,144,675,044,762,451,528,089,699,128,063,750,153,824,370,648,
134,630,871,639,720,098,120,297,595,140,466,535,192,766,350,251,281,040,763,
327,610,098,860,560,411,877,684,443,207,117,760,336,139,238,884,946,067,504,
958,326,864,872,346,049,970,551,406,713,724,053,747,147,189,566,988,667,825,
733,525,891,653,415,415,714,975,663,758,540,571,507,593,303,352,637,581,786,
910,646,004,555,559,670,306,889,288,965,166,827,982,945,632,353,277,101,462,
366,134,909,156,417,071,396,272,182,431,212,992,956,529,702,422,879,647,023,
544,321,488,812,453,850,561,424,967,138,719,661,612,959,923,660,000,313,766,
926,884,308,245,526,416,555,410,813,371,120,641,342,941,835,181,288,449,924,
788,013,738,019,086,598,000,730,873,881,948,413,605,657,066,335,457,781,035,
510,801,045,458,402,667,294,379,385,328,517,151,188,660,857,725,243,202,566,
412,007,728,451,795,734,961,145,303,070,669,837,311,679,766,932,063,178,774,
103,236,808,909,038,444,917,830,152,946,056,781,124,368,027,805,268,707,375,
829,403,780,274,977,700,216,337,793,898,684,468,988,639,745,128,308,149,072,
112,299,131,087,788,582,719,977,229,536,327,184,155,657,817,160,001,293,692,
066,850,166,788,650,939,247,133,944,201,034,692,091,397,885,475,403,762,549,
263,181,770,216,810,219,396,013,628,300,012,860,785,624,765,981,925,133,725,
857,899,478,921,498,810,100,359,310,204,419,778,828,280,357,882,320,872,908,
879,567,310,380,354,566,550,275,002,922,151,963,435,467,242,643,487,908,318,
836,707,120,102,829,536,002,590,655,604,495,993,573,900,985,275,255,078,144,
092,358,841,769,376,419,863,277,400,741,496,913,377,391,776,323,360,435,200,
110,198,618,262,273,516,522,328,025,298,152,433,109,185,446,073,292,897,632,
295,961,798,723,267,347,366,528,856,081,845,179,147,249,988,644,579,420,293,
587,126,259,809,791,725,430,752,681,192,860,553,749,264,160,105,823,007,978,
503,284,024,498,130,220,348,974,445,233,554,756,059,156,306,945,858,847,160,
084,957,432,289,106,557,040,135,537,668,590,669,788,076,528,051,932,612,612,
052,544,559,665,346,545,868,658,575,208,321,486,811,593,788,035,657,156,298,
452,835,251,182,901,244,542,368,805,426,804,735,238,855,332,066,001,268,851,
019,950,306,638,155,556,820,248,304,843,154,660,082,465,008,126,378,639,328,
167,390,422,534,136,455,743,718,257,628,206,720,798,090,989,339,462,970,202,
544,828,776,226,947,991,169,077,896,102,593,017,017,105,993,173,579,745,466,
628,833,890,836,330,416,029,289,998,997,644,193,472,763,547,803,997,378,767,
738,604,760,950,648,952,200,717,405,441,809,400,772,058,391,879,504,626,382,
838,752,691,467,585,665,914,612,259,580,080,495,248,307,272,419,230,035,703,
835,588,234,373,487,614,105,300,211,293,655,550,820,029,366,206,793,182,137,
446,883,524,609,811,256,056,490,552,195,470,040,084,864,874,026,785,578,672,
948,736,739,742,933,524,569,803,431,130,777,257,871,600,607,648,068,791,193,
290,758,849,440,206,812,227,094,492,698,848,206,314,920,883,015,434,774,395,
843,670,247,420,987,061,568,285,921,697,356,219,305,170,097,954,617,205,927,
697,682,361,888,773,882,862,819,380,048,801,547,462,946,293,456,667,976,692,
968,283,847,067,843,776,117,100,412,124,391,729,955,069,736,141,918,117,746,
784,258,120,931,082,401,674,198,253,873,127,404,269,705,528,052,908,309,811,
834,569,693,305,934,736,737,823,540,836,108,342,708,280,841,597,139,485,853,
073,288,049,960,516,984,691,227,099,641,738,226,804,810,683,654,115,941,617,
658,488,327,444,848,861,730,275,531,158,983,822,675,157,336,145,929,140,435,
752,617,573,893,412,718,439,586,399,254,606,989,803,210,621,896,379,185,941,
841,904,162,298,842,130,771,376,864,943,654,840,255,058,343,857,776,889,970,
171,549,421,379,190,293,874,137,034,559,329,067,212,557,621,707,260,700,551,
223,552,691,032,528,264,477,809,178,031,209,540,778,327,452,984,873,747,651,
012,801,229,691,223,287,621,117,248,782,764,260,462,955,932,299,539,413,313,
722,616,338,020,694,486,830,973,267,827,569,839,499,509,941,884,367,751,478,
523,704,463,944,114,537,327,795,970,862,093,839,883,403,432,467,443,181,299,
612,679,340,661,174,665,271,063,559,700,927,962,741,426,504,382,968,997,908,
060,865,341,352,601,992,202,152,226,286,874,886,292,381,208,347,806,109,505,
258,926,942,728,110,692,198,194,933,973,941,848,489,549,042,343,309,619,266,
485,711,772,964,275,960,894,381,140,677,387,357,803,139,192,148,088,623,324,
826,057,989,688,451,578,968,217,508,900,368,927,700,199,616,913,644,369,842,
417,282,378,493,560,000,001,452,134,529,417,898,831,565,956,716,525,909,413,
654,214,482,118,301,189,751,589,362,923,564,786,474,655,121,351,616,021,628,
950,744,964,527,911,231,345,142,342,787,546,375,750,997,804,471,852,252,995,
494,361,244,594,175,604,909,330,607,425,214,274,994,693,899,106,927,981,993,
746,426,361,820,426,715,329,500,645,999,890,197,887,372,265,008,727,292,957,
082,857,441,088,067,690,342,654,064,984,435,224,239,424,611,019,412,583,311,
312,961,635,492,445,995,256,055,892,030,315,666,155,253,700,592,708,502,761,
367,541,971,541,603,509,709,940,092,482,390,672,238,291,807,598,582,345,403,
979,309,059,776,777,097,337,910,140,531,031,772,561,696,188,854,124,680,258,
630,662,250,537,809,422,120,916,610,353,313,436,179,987,435,031,268,031,115,
895,162,744,746,970,983,790,468,065,936,047,759,352,621,198,901,901,682,744,
036,348,225,951,295,964,513,705,016,070,336,980,776,366,372,026,912,327,641,
451,771,533,903,770,996,024,069,925,533,761,316,205,641,990,838,683,955,329,
714,088,187,755,921,717,124,983,754,672,244,103,604,139,869,774,549,336,107,
780,840,197,430,989,917,296,964,892,377,867,548,370,430,422,484,670,687,782,
590,612,942,026,645,964,193,214,520,300,319,175,670,048,991,145,100,570,123,
475,405,994,296,472,342,806,370,368,266,812,101,040,408,492,296,545,278,220,
790,739,419,100,598,315,242,640,358,330,286,926,267,179,700,727,926,530,766,
908,625,542,046,673,798,038,832,797,328,228,633,799,538,757,287,876,605,860,
614,267,247,253,053,982,343,959,319,293,058,177,477,316,476,347,458,087,930,
799,721,504,803,826,563,775,991,434,036,196,557,016,298,068,697,551,894,808,
854,876,234,513,170,562,660,704,939,635,836,285,500,153,772,680,966,439,065,
816,952,202,181,050,061,573,196,194,388,990,271,390,305,233,841,406,040,450,
193,370,729,235,962,106,343,691,348,042,262,177,694,417,543,222,375,698,489,
396,424,838,324,032,190,160,592,077,390,231,318,542,696,107,552,748,534,901,
569,513,861,043,999,112,346,233,098,164,401,084,494,625,146,528,467,934,700,
261,529,440,172,698,646,517,997,934,727,171,241,720,922,057,600,988,714,768,
856,178,983,200,866,337,608,987,949,630,516,867,696,907,886,723,539,801,104,
971,727,710,535,163,541,732,759,042,329,957,789,553,531,234,516,515,415,194,
118,705,150,001,039,378,926,868,260,160,830,535,575,537,924,294,818,875,482,
152,349,525,232,252,979,534,167,619,213,585,910,092,640,607,044,521,439,796,
949,002,864,780,755,669,352,276,094,733,416,490,335,675,757,344,616,348,752,
065,160,229,963,542,376,414,488,155,757,682,153,206,466,525,164,181,813,827,
073,830,418,771,982,943,224,905,868,391,738,946,813,515,702,769,708,115,528,
391,058,803,428,096,532,513,136,083,570,442,635,094,741,990,369,641,323,118,
619,803,439,372,544,076,052,785,024,388,082,358,532,586,381,261,826,575,864,
613,491,324,290,242,138,778,030,304,399,004,257,922,354,067,311,137,503,749,
335,848,202,394,815,924,024,188,478,493,168,912,890,347,223,212,276,311,499,
112,184,467,687,178,729,309,672,039,446,664,721,412,082,614,367,299,965,738,
424,154,974,052,657,253,898,051,543,159,640,327,925,931,157,427,885,230,771,
726,370,385,134,634,888,516,670,869,343,293,102,088,290,202,789,122,330,220,
316,866,199,578,705,695,971,807,538,687,326,064,330,569,115,643,880,963,197,
349,218,551,680,335,293,672,469,226,055,673,353,309,193,853,827,512,343,098,
695,852,226,352,559,860,828,727,060,793,298,669,153,678,692,921,372,509,197,
442,415,039,280,212,926,227,918,306,924,323,990,504,652,495,493,737,198,899,
853,865,113,329,660,957,397,403,864,225,890,863,761,361,779,649,375,866,881,
643,067,945,126,304,726,845,437,655,731,139,572,294,657,321,309,026,944,252,
727,190,024,163,545,210,363,731,517,349,111,262,992,587,875,008,930,517,182,
410,894,742,907,156,375,342,645,148,403,096,176,509,895,740,042,015,949,591,
996,804,089,992,990,194,222,464,491,172,339,717,883,800,482,099,961,805,692,
636,776,007,318,852,958,546,459,381,960,373,847,465,400,421,155,737,929,148,
180,085,152,316,824,206,234,619,675,027,817,091,639,242,110,829,714,464,557,
695,579,522,533,677,500,445,266,358,637,907,151,770,950,022,264,978,286,561,
712,596,397,807,786,119,900,752,689,018,970,794,862,607,342,161,824,430,323,
385,152,471,726,821,117,582,495,233,812,307,048,338,876,209,020,673,095,430,
690,122,285,469,069,952,231,100,212,184,162,157,571,247,458,546,258,196,566,
206,621,843,161,303,298,699,413,400,462,212,143,722,388,947,702,090,099,696,
425,427,780,759,028,659,881,840,548,640,957,708,239,565,974,214,270,056,926,
183,609,401,218,903,899,293,957,015,492,854,618,595,207,604,283,579,669,944,
925,159,359,331,908,269,751,320,982,400,855,802,405,413,848,122,587,273,857,
786,159,642,737,394,785,314,385,588,079,851,048,332,115,219,315,727,063,365,
749,118,309,300,853,785,992,077,870,370,865,986,461,052,756,435,110,353,721,
785,314,971,052,315,704,942,889,909,352,634,676,866,170,783,106,188,555,988,
635,892,817,079,287,814,573,299,213,467,895,412,182,400,130,275,235,144,356,
183,075,025,071,313,534,940,287,323,603,127,431,261,595,395,429,704,738,801,
328,134,476,518,039,969,167,570,889,026,556,937,521,362,607,753,966,345,472,
716,733,663,435,988,917,438,924,020,518,485,257,827,795,659,229,161,058,031,
086,493,528,488,250,960,729,094,580,750,191,264,479,427,260,379,938,542,757,
579,452,342,233,818,688,759,799,428,762,025,739,595,795,504,535,249,087,723,
441,438,104,637,425,390,748,194,263,633,504,456,771,524,498,773,820,399,241,
783,329,863,155,123,840,305,668,253,852,153,448,727,017,421,990,236,711,643,
077,977,173,783,948,030,871,111,871,102,319,666,947,832,430,823,896,216,870,
125,651,570,371,220,056,974,061,800,258,034,581,607,781,815,301,460,617,161,
705,098,140,386,567,627,180,746,314,311,002,256,819,885,490,906,504,610,444,
344,394,209,742,197,611,529,319,943,083,598,463,365,336,279,524,527,491,022,
101,376,923,564,555,243,891,931,649,213,905,841,695,485,588,398,719,030,418,
949,836,428,190,992,248,681,343,290,677,855,466,931,786,944,073,295,608,162,
431,161,734,997,535,671,863,726,812,667,339,805,478,513,932,702,441,197,065,
235,259,336,504,103,441,708,905,599,220,443,827,309,449,110,264,501,208,611,
731,151,381,595,886,330,992,364,316,173,126,024,628,330,514,645,346,690,602,
427,400,039,904,999,267,771,814,756,133,404,651,397,806,958,792,190,197,496,
362,139,495,771,717,078,947,626,836,723,682,482,838,355,000,328,337,558,793,
611,761,180,626,644,411,146,259,211,042,475,866,496,787,143,878,827,371,119,
250,253,436,163,376,134,230,025,762,146,805,581,779,401,076,880,795,051,172,
600,124,982,828,363,200,257,130,097,648,526,847,626,593,866,128,322,273,616,
986,653,040,532,192,466,129,464,701,717,432,560,211,402,571,116,186,055,942,
573,087,518,946,241,122,959,050,591,671,711,797,624,832,358,927,414,903,486,
202,273,560,314,599,150,457,535,439,604,372,201,818,927,989,849,826,710,204,
487,499,171,986,619,751,517,616,647,528,019,109,894,485,215,201,317,755,319,
267,302,581,662,203,663,679,471,536,804,089,826,421,885,533,621,685,134,323,
542,961,103,513,250,137,524,695,456,320,785,464,425,823,167,644,376,303,836,
721,440,324,292,520,270,322,899,670,422,239,747,081,485,757,552,709,160,504,
123,636,477,427,604,462,139,730,135,835,686,347,524,115,765,905,105,605,602,
707,142,531,422,264,620,631,241,522,689,744,818,046,685,065,902,124,941,712,
260,797,956,084,779,969,193,696,686,718,085,722,241,511,850,510,667,335,706,
585,114,863,169,525,602,538,778,484,424,761,846,617,705,709,086,115,033,503,
722,823,383,664,458,541,508,002,648,094,317,038,826,891,373,064,361,650,556,
610,432,018,194,315,567,070,529,226,233,382,861,319,310,759,939,507,749,356,
850,758,507,828,355,961,264,840,790,512,063,179,158,335,561,686,099,281,125,
708,560,747,727,437,786,494,318,808,422,723,373,716,574,662,588,755,393,487,
846,641,262,118,514,048,794,224,997,533,904,767,155,310,798,067,208,847,683,
099,129,653,968,760,526,982,286,699,076,223,369,440,030,915,007,757,929,975,
231,447,102,069,202,918,395,410,735,765,318,134,313,108,539,427,479,449,782,
862,300,344,306,176,523,586,181,271,143,800,247,131,485,668,619,822,406,746,
608,633,716,008,410,412,075,874,504,051,717,765,505,165,613,921,378,000,025,
859,485,167,794,676,549,718,741,613,501,438,881,726,315,806,751,494,382,936,
679,309,915,752,296,922,518,088,448,052,677,180,167,719,129,692,429,616,364,
838,634,236,028,787,774,541,768,859,878,534,526,517,930,236,741,803,273,575,
360,066,752,612,967,838,188,227,880,632,198,288,192,663,866,143,436,739,582,
533,332,723,802,615,450,515,853,940,285,500,024,533,451,168,066,077,920,047,
862,259,799,381,652,755,636,567,652,147,486,528,051,320,736,964,229,417,446,
332,384,220,911,783,399,132,933,351,923,099,858,399,179,629,620,270,840,350,
438,604,380,256,858,515,816,069,498,467,178,477,049,584,725,622,041,359,098,
561,110,337,133,954,238,105,203,702,914,939,984,231,960,071,350,809,891,713,
163,882,426,864,167,405,287,379,805,828,249,761,115,181,177,411,865,763,044,
350,540,437,388,070,208,138,654,131,016,015,716,319,174,503,824,511,394,741,
440,102,313,082,768,017,371,833,188,068,338,012,873,625,013,786,231,713,714,
386,265,932,961,780,485,121,074,242,049,071,360,528,707,788,514,807,352,430,
185,235,960,409,814,245,862,298,919,100,715,034,373,390,356,745,619,070,335,
684,922,653,520,935,240,619,351,290,762,392,576,946,631,854,659,746,279,338,
572,704,039,837,106,509,761,780,805,315,794,223,539,061,183,367,416,950,954,
922,823,562,841,555,762,749,764,453,110,673,113,533,891,509,406,960,072,407,
991,686,424,218,157,639,921,438,722,967,375,294,379,352,107,725,053,576,418,
314,136,367,226,275,777,055,494,446,178,552,168,941,712,888,795,429,521,438,
071,917,470,481,253,489,655,609,139,305,438,122,624,135,625,120,146,993,910,
184,009,379,967,889,072,885,465,070,392,131,074,724,921,641,676,958,453,299,
376,900,459,358,370,843,004,612,291,848,004,889,357,616,313,586,494,600,101,
943,541,578,350,313,244,585,157,766,358,071,309,317,123,010,934,237,411,360,
446,410,426,191,768,139,958,670,382,856,756,641,801,095,255,255,305,092,768,
183,220,872,900,557,883,990,053,591,474,452,957,984,566,773,780,183,113,454,
161,716,518,486,553,490,120,817,508,238,641,257,586,742,109,170,230,313,938,
699,900,459,668,381,981,034,434,169,936,246,933,764,378,686,642,894,174,509,
020,913,074,409,656,821,998,107,530,888,474,083,117,469,533,151,106,047,810,
077,039,573,333,058,262,524,214,940,998,115,140,139,083,238,573,857,311,961,
901,867,079,061,810,655,977,209,990,889,407,276,229,410,623,453,853,967,284,
385,445,721,374,685,489,556,175,451,038,618,226,626,411,661,002,845,368,221,
488,588,836,020,960,298,833,736,297,424,373,868,534,512,930,945,292,522,429,
815,405,332,188,301,007,579,460,617,459,350,017,172,683,095,056,194,129,813,
519,255,899,355,454,825,874,384,311,059,696,535,774,486,873,301,632,164,253,
232,268,243,942,254,895,989,478,893,264,465,924,807,382,853,086,292,725,324,
919,693,768,700,453,091,092,648,682,896,885,056,022,520,924,680,868,828,026,
746,653,438,794,264,947,414,127,546,915,177,436,815,583,798,893,451,533,137,
702,858,636,069,210,830,985,841,627,485,703,791,348,442,130,067,309,835,623,
311,159,225,689,254,531,357,150,472,026,235,496,264,387,903,237,068,738,446,
853,750,742,103,996,698,555,413,454,479,679,921,128,777,124,069,982,583,155,
399,687,356,969,556,500,064,314,685,965,201,232,215,658,676,992,034,964,367,
383,243,766,187,503,781,998,928,692,630,717,999,521,035,212,328,572,828,137,
114,535,860,870,010,105,332,516,326,595,153,693,099,645,089,912,488,545,685,
391,882,248,535,420,762,047,498,682,528,369,729,040,454,154,460,385,841,474,
595,771,425,451,699,106,791,692,292,877,506,102,506,103,024,854,625,918,312,
835,676,414,385,122,679,764,805,065,924,047,959,181,167,859,611,597,455,505,
017,645,235,153,412,852,984,945,233,929,727,477,110,861,643,328,029,596,276,
379,858,404,611,608,485,975,719,323,286,564,262,051,209,365,686,385,226,265,
536,756,436,987,828,454,405,937,234,743,903,086,644,959,750,316,563,444,144,
207,099,009,079,442,405,075,547,328,376,071,147,050,369,267,246,822,853,203,
715,188,981,153,782,660,318,555,313,733,500,989,903,150,108,846,345,861,605,
967,419,276,022,440,272,418,508,466,370,183,135,116,724,399,077,988,274,148,
554,560,751,719,820,355,455,281,143,129,022,481,065,269,826,663,337,620,971,
801,933,042,241,276,686,357,921,492,658,378,112,951,695,853,510,880,793,290,
787,918,780,397,526,280,788,763,212,970,884,742,719,863,738,072,944,738,192,
620,541,315,956,847,669,228,300,861,041,216,045,376,788,380,505,039,778,278,
527,800,237,152,857,281,920,692,265,555,526,072,133,691,546,564,823,798,326,
288,678,202,747,991,220,226,095,032,566,769,313,819,891,072,076,732,552,808,
406,323,150,293,193,735,069,952,908,922,363,186,003,040,585,092,612,709,986,
550,399,041,783,578,337,870,358,882,246,190,800,017,618,612,225,642,920,013,
973,836,329,882,490,546,157,867,873,949,459,699,121,528,331,620,313,420,330,
278,828,261,131,630,397,116,262,896,233,984,449,750,175,178,770,523,106,244,
923,137,677,339,722,793,829,158,031,570,506,272,525,979,218,605,333,744,138,
468,265,269,741,073,690,922,527,379,109,755,678,341,928,491,226,706,426,581,
406,722,243,831,497,845,072,086,897,957,724,386,357,390,400,583,563,455,332,
675,348,269,082,683,294,926,263,008,986,815,874,981,841,417,511,175,280,127,
541,013,574,493,015,104,307,880,309,885,635,101,929,866,676,223,196,347,626,
716,242,649,400,512,830,278,338,328,089,949,312,615,876,699,027,002,895,381,
531,084,230,874,532,451,242,853,000,700,871,119,271,977,348,334,984,442,418,
405,197,995,495,609,055,492,882,900,678,556,088,790,766,313,729,144,115,106,
807,604,298,299,404,599,114,109,831,675,162,499,914,567,902,101,318,509,456,
607,073,009,224,962,018,764,629,014,257,168,287,733,146,834,014,629,384,694,
868,948,077,947,270,975,376,393,335,096,685,279,179,862,634,253,936,191,119,
202,667,893,850,706,468,375,201,690,130,536,502,703,412,754,865,955,138,623,
187,744,300,450,148,930,947,584,987,774,914,684,393,111,947,621,419,046,344,
014,142,017,297,914,699,669,966,631,980,585,638,408,170,011,500,636,952,947,
045,707,134,909,942,833,611,767,964,858,436,767,510,539,150,358,729,818,999,
420,539,113,888,539,017,158,869,655,363,774,517,123,200,463,727,419,499,764,
495,840,985,369,075,172,212,296,696,116,723,743,422,783,831,718,001,971,306,
102,225,856,048,288,019,172,836,897,568,099,112,571,921,136,120,206,061,643,
726,581,617,553,897,650,974,072,170,466,502,170,776,278,153,746,489,073,862,
655,914,581,154,011,702,157,348,567,641,747,182,341,537,280,705,917,171,204,
940,867,209,200,936,884,815,973,695,727,354,487,435,447,231,298,164,209,301,
067,998,470,718,379,413,319,411,328,123,949,164,138,225,208,311,488,380,536,
392,841,054,375,150,820,407,245,884,157,288,722,595,324,473,638,261,610,964,
159,213,484,460,928,734,239,635,908,336,801,104,790,184,762,912,075,945,284,
320,232,174,161,310,761,315,012,635,208,173,760,341,773,856,213,891,353,285,
245,227,920,104,282,797,637,144,726,252,443,074,008,432,864,440,161,260,641,
288,076,842,445,031,753,981,086,299,441,372,310,875,161,056,463,764,543,286,
597,321,241,936,799,879,821,195,810,084,748,512,529,092,844,629,866,518,568,
826,523,169,278,205,332,590,732,421,908,899,547,049,922,873,810,204,080,968,
907,830,944,594,056,764,006,841,834,161,906,269,422,526,285,923,532,391,301,
546,431,518,178,815,076,170,838,137,074,183,183,647,058,883,303,825,641,485,
076,264,216,234,808,076,162,437,820,401,609,970,739,234,104,831,191,566,226,
984,260,841,018,457,269,775,070,204,870,647,416,067,376,077,076,011,340,854,
536,335,392,692,631,827,910,461,769,675,480,841,380,557,071,230,771,179,126,
479,026,721,914,697,666,909,786,001,791,758,662,667,071,250,207,165,216,909,
411,811,376,114,516,382,919,406,374,924,392,067,836,523,880,802,680,985,798,
117,741,997,890,259,594,688,565,948,229,619,369,456,580,821,729,840,551,423,
046,876,456,715,827,890,100,452,677,081,896,855,258,813,172,230,562,077,395,
466,669,576,343,162,523,215,164,393,081,201,455,461,252,982,065,543,413,577,
954,168,709,859,811,219,981,301,647,141,190,574,636,982,627,238,571,234,187,
310,681,562,920,120,561,478,132,245,701,108,766,473,723,209,039,971,251,188,
731,142,723,854,950,651,523,837,596,158,370,095,151,080,586,638,178,517,066,
291,124,816,819,360,414,555,478,168,128,088,958,735,045,963,743,959,203,290,
669,183,173,938,528,700,304,850,200,330,260,027,983,554,297,925,343,708,419,
189,259,046,368,838,367,095,934,814,829,285,729,630,899,471,823,628,625,769,
492,572,673,338,079,313,245,288,491,322,443,870,853,249,289,774,830,908,746,
753,437,512,172,834,207,029,390,618,799,720,331,131,840,703,730,130,602,424,
403,149,496,320,602,551,051,305,736,843,663,943,404,582,992,360,137,227,027,
151,603,175,134,579,494,046,266,953,420,239,675,983,062,635,064,807,604,859,
470,795,978,098,104,048,384,406,528,761,086,785,896,033,936,630,325,684,390,
795,957,990,616,460,706,485,909,450,779,720,011,704,909,651,390,304,040,179,
973,891,052,839,641,084,580,520,105,590,647,607,736,030,800,110,914,050,590,
519,155,918,285,364,745,784,797,569,929,982,144,671,676,053,363,920,544,689,
460,604,725,022,649,245,642,511,475,431,909,505,690,377,054,228,655,089,168,
742,589,015,235,122,211,134,419,114,845,389,597,059,183,505,430,809,896,343,
198,809,581,588,454,467,246,005,414,356,634,196,888,237,764,910,528,743,185,
623,085,273,178,041,241,471,990,828,214,239,091,874,053,502,795,444,037,926,
621,790,402,081,622,850,202,858,184,888,997,067,101,426,699,745,792,567,309,
121,600,961,633,736,533,105,431,603,476,459,335,010,785,493,555,287,340,285,
277,683,837,530,170,627,692,746,280,494,342,801,251,154,687,733,175,313,223,
791,602,189,850,811,978,781,995,205,364,461,426,649,252,585,924,518,404,656,
170,582,621,608,964,901,623,145,475,744,592,893,225,479,398,231,975,628,143,
162,900,713,835,823,805,891,612,046,659,085,436,675,760,485,279,164,864,771,
059,308,792,225,333,504,551,752,075,511,065,015,253,830,179,782,498,209,404,
847,678,979,540,702,143,695,997,110,768,175,860,682,870,671,025,155,660,411,
722,576,625,092,782,789,876,092,162,334,744,812,607,556,076,299,934,553,079,
964,362,859,478,772,366,789,696,621,044,286,243,307,432,135,884,126,325,598,
155,700,316,165,285,955,090,919,383,513,299,957,922,759,202,730,731,401,987,
680,840,770,428,596,481,295,987,114,514,740,975,472,211,014,717,845,942,953,
736,042,801,380,640,028,273,180,015,968,262,688,731,468,297,647,658,725,044,
618,167,113,592,185,214,786,230,809,237,811,378,214,615,350,468,484,011,188,
121,277,084,130,622,073,584,682,218,433,960,641,673,433,908,503,214,028,242,
478,195,827,637,604,260,352,320,101,924,568,315,868,999,288,734,435,377,444,
259,000,932,373,185,445,882,744,967,458,508,850,813,481,372,168,926,287,525,
471,433,893,152,367,653,910,580,666,144,839,200,051,312,596,963,274,649,856,
127,888,185,304,901,228,649,387,211,515,351,284,505,259,727,455,912,982,719,
120,115,248,714,480,506,871,203,147,565,429,686,601,247,411,012,408,598,177,
063,402,582,296,333,645,092,079,603,697,536,812,284,622,681,945,475,248,566,
823,329,156,920,645,265,421,181,263,784,557,111,561,731,652,411,763,019,276,
093,702,573,256,408,307,766,382,420,125,953,436,206,274,570,389,866,185,809,
730,769,545,931,584,492,318,598,337,299,377,273,872,102,185,162,890,236,179,
417,362,106,286,772,445,818,860,721,400,208,957,750,844,708,623,457,496,672,
995,056,874,145,484,192,087,697,988,341,307,685,272,494,808,922,461,714,904,
875,437,296,972,663,675,377,219,836,033,825,837,224,547,631,490,875,924,024,
481,794,873,637,349,565,088,716,920,691,721,365,209,116,070,491,767,376,289,
027,989,517,333,920,755,553,399,724,832,647,071,676,026,828,809,685,761,055,
419,002,834,319,156,833,017,782,911,391,699,143,349,078,281,047,900,801,000,
684,973,518,531,942,591,194,416,046,869,370,654,470,346,542,894,820,776,829,
278,285,190,940,194,257,165,101,529,263,609,345,746,257,396,573,884,361,005,
889,548,048,916,551,302,945,475,979,955,265,595,420,389,948,035,232,871,250,
713,337,696,075,236,490,328,976,589,872,632,979,442,169,853,074,505,470,596,
398,736,340,396,700,115,831,399,107,803,729,045,714,671,592,307,744,199,096,
081,612,286,497,551,700,994,445,578,908,014,279,322,125,786,114,124,333,176,
091,388,711,524,627,223,706,415,942,671,186,913,541,402,240,789,294,517,158,
260,269,454,104,315,968,922,892,636,780,313,703,886,211,045,590,290,898,432,
897,684,543,796,152,049,579,437,407,661,069,295,232,368,056,980,292,777,064,
098,176,892,280,893,987,177,942,472,609,701,207,896,273,530,951,118,980,257,
098,580,499,297,223,143,749,564,512,431,128,193,704,459,046,353,538,409,532,
358,671,233,930,286,931,035,743,753,549,267,920,460,002,723,332,893,938,860,
314,572,015,363,629,276,327,975,045,917,014,078,691,567,954,740,701,099,758,
669,366,468,170,457,229,339,777,295,699,142,564,787,265,844,244,276,003,937,
879,633,284,125,268,991,290,577,556,604,191,774,527,143,095,447,377,739,587,
046,131,926,608,661,786,557,063,983,640,399,899,133,122,415,576,913,836,249,
090,725,804,261,630,461,155,472,222,627,225,049,735,430,353,319,759,576,007,
976,024,097,918,390,216,170,327,107,578,278,681,278,930,609,118,488,139,533,
929,099,931,010,440,031,436,606,504,770,391,634,464,138,656,811,437,694,484,
010,616,482,421,744,808,822,644,793,001,149,058,525,210,251,051,429,451,438,
589,188,715,973,877,868,104,765,933,365,173,684,968,316,082,477,292,170,176,
195,645,857,033,714,448,895,842,097,420,316,933,517,796,288,552,792,013,984,
092,558,158,397,918,904,417,671,553,140,700,988,012,476,655,487,330,957,956,
613,626,319,286,502,865,623,201,637,468,739,026,559,385,220,471,445,348,233,
664,008,808,471,351,821,929,880,140,611,336,467,297,271,649,821,519,719,120,
385,526,009,888,920,021,583,624,087,688,223,504,834,612,471,317,257,559,186,
822,685,174,655,854,542,047,556,152,941,939,938,120,165,033,601,283,129,170,
253,811,033,045,586,756,259,822,918,422,854,588,240,578,022,935,555,285,063,
930,481,804,418,332,140,319,605,526,097,175,397,197,218,119,375,992,686,199,
213,952,784,655,045,347,222,404,942,714,540,121,244,310,445,149,131,801,457,
233,457,210,261,043,585,920,374,800,409,727,935,847,147,519,496,594,356,420,
114,048,404,904,496,063,295,275,640,615,549,790,767,831,846,158,683,875,578,
820,032,315,951,358,296,846,528,306,562,398,967,330,247,204,511,910,974,644,
338,315,750,858,219,008,557,735,183,157,477,567,719,544,347,823,259,352,071,
377,300,895,867,141,444,017,979,071,333,716,200,135,262,932,713,376,855,256,
283,518,080,653,397,795,812,712,286,744,176,311,526,810,641,578,713,645,330,
184,932,811,146,176,561,151,772,101,945,958,118,482,191,050,920,503,208,826,
329,155,097,339,110,859,112,038,749,913,434,281,343,733,585,568,269,433,424,
733,302,175,532,821,554,622,442,199,482,416,564,144,792,981,549,869,367,977,
913,109,525,878,921,672,434,294,591,824,666,104,452,114,634,665,272,297,726,
927,635,017,988,649,530,161,611,071,906,562,132,684,691,628,195,204,163,745,
029,390,375,518,972,667,847,649,999,869,331,335,709,288,652,264,333,745,749,
242,377,465,408,723,285,447,871,023,130,999,343,486,459,539,698,715,577,671,
214,987,272,815,720,448,453,276,313,609,298,684,692,180,589,824,974,404,419,
479,301,768,167,510,532,668,330,144,315,957,160,678,142,766,303,022,603,060,
434,932,076,460,098,027,553,542,707,084,300,262,112,704,127,146,902,714,444,
916,436,770,922,384,064,047,788,387,566,633,598,432,354,634,956,004,164,672,
575,729,967,909,490,513,259,367,388,363,234,970,769,429,451,559,839,955,148,
247,195,522,904,977,511,434,658,201,593,161,395,092,781,175,431,663,618,747,
847,792,901,692,359,271,314,443,699,154,348,053,740,169,729,563,601,015,327,
962,353,058,262,920,336,608,903,337,858,928,781,852,788,942,174,742,908,341,
918,991,769,678,261,128,119,184,618,101,906,000,247,319,992,736,885,172,779,
262,713,644,259,157,630,579,489,868,191,455,260,009,840,844,747,859,538,421,
591,818,696,989,602,047,417,395,047,914,520,297,607,599,740,207,181,684,220,
786,597,909,919,523,610,936,051,687,132,916,600,814,773,113,754,899,079,852,
656,545,614,339,659,827,828,174,065,080,771,813,137,820,505,341,939,343,380,
757,426,017,532,831,408,395,181,847,168,681,667,703,303,240,544,719,410,584,
260,678,670,219,255,726,689,223,623,053,416,922,221,160,754,398,207,467,570,
149,907,717,613,043,842,590,548,501,478,657,266,307,990,244,487,112,462,218,
141,385,998,590,095,445,503,667,398,958,495,371,834,457,507,288,786,303,832,
745,499,474,489,777,718,872,773,172,189,516,344,863,297,959,153,825,221,149,
357,213,100,607,427,140,429,100,691,937,249,008,418,503,385,016,097,207,082,
344,060,149,879,354,101,571,302,823,644,146,503,095,088,710,181,614,169,405,
462,362,626,877,016,360,556,905,415,791,594,720,390,043,811,719,538,755,416,
276,296,719,151,119,163,967,113,894,948,060,093,001,471,025,458,850,238,680,
159,630,551,763,328,688,268,702,124,876,414,534,371,746,179,396,199,569,553,
147,208,119,343,869,514,252,637,918,298,083,212,706,070,974,444,470,492,788,
534,395,649,422,270,988,346,588,504,845,052,099,483,170,663,617,622,350,189,
078,761,256,251,885,158,153,130,924,501,463,453,660,788,577,583,202,039,178,
804,198,295,059,402,798,343,271,591,205,620,412,352,571,584,783,505,806,360,
739,272,351,042,872,774,441,318,945,196,995,383,236,761,904,351,166,736,257,
190,877,742,038,007,538,861,272,213,723,749,510,551,222,498,193,207,642,019,
098,919,510,450,885,809,406,690,377,450,152,668,117,370,624,672,821,127,184,
877,243,428,859,388,023,546,935,332,155,463,565,890,082,352,851,185,798,404,
115,966,953,424,103,623,558,139,707,451,504,519,749,909,072,634,549,927,979,
911,676,944,667,785,163,861,786,165,184,434,667,109,860,885,331,471,180,548,
700,721,354,800,147,826,798,224,030,307,521,152,961,721,693,216,417,102,163,
997,442,052,706,852,854,927,793,153,356,561,075,657,017,016,376,441,746,059,
694,478,606,112,276,677,087,784,104,191,433,585,829,881,171,958,082,454,896,
874,358,035,682,157,820,790,164,421,394,351,625,490,958,099,852,762,680,874,
801,351,573,320,271,961,955,249,690,764,900,974,503,645,718,511,759,516,102,
755,206,310,739,094,794,012,967,793,645,547,838,363,357,035,702,894,697,230,
095,315,853,758,748,894,816,783,817,313,170,632,006,432,395,147,511,048,172,
098,729,422,445,023,257,665,431,372,207,269,590,727,086,897,523,568,704,893,
911,970,531,892,668,848,997,101,742,334,443,285,606,647,981,662,707,597,121,
528,825,059,503,955,035,531,032,169,980,600,949,699,302,196,213,912,375,237,
767,523,237,992,810,553,883,359,903,430,080,549,492,928,915,659,317,666,634,
175,034,269,840,663,304,868,997,668,635,610,290,015,719,884,408,736,892,712,
919,842,924,318,287,240,172,053,269,119,530,774,130,705,031,194,339,905,905,
262,168,920,502,151,650,452,283,704,021,336,192,492,619,059,645,380,063,253,
499,779,239,369,888,995,905,387,558,906,896,929,282,596,478,198,416,972,655,
095,436,490,885,391,644,182,365,452,566,622,820,348,583,999,637,048,933,300,
622,690,203,761,108,878,834,951,916,013,294,220,422,349,727,676,634,092,839,
677,242,164,876,654,133,951,991,536,197,314,621,841,158,469,429,792,392,286,
914,890,887,411,977,950,519,149,642,733,663,488,059,894,025,808,833,768,649,
131,660,381,673,364,103,396,801,599,880,005,315,752,233,624,397,733,918,807,
779,586,640,006,561,533,377,247,616,341,666,032,975,816,167,931,105,328,780,
435,606,354,711,175,931,554,135,933,983,398,269,078,501,840,663,813,418,909,
518,755,248,994,493,452,156,081,905,905,290,938,637,332,781,547,874,783,821,
054,589,165,982,288,301,875,647,993,780,383,921,866,077,011,765,679,141,029,
271,779,215,685,814,171,420,490,421,374,088,955,039,161,128,954,610,080,824,
715,002,166,298,110,169,633,195,170,760,379,339,603,494,711,227,000,289,060,
295,340,869,376,615,263,525,033,212,631,847,450,346,735,487,166,629,703,199,
239,612,072,773,992,732,069,101,932,675,457,571,725,327,667,262,652,423,750,
464,725,119,997,152,868,250,565,481,809,538,052,538,389,104,770,132,248,767,
750,334,879,020,075,739,952,641,711,844,814,801,922,004,542,856,124,282,083,
793,615,892,067,563,774,847,076,580,973,625,890,868,752,570,343,870,970,736,
909,825,140,483,880,392,279,364,551,392,624,709,540,931,216,490,177,719,128,
359,870,059,559,848,027,775,085,463,939,131,918,738,302,646,266,605,758,669,
488,908,954,901,093,727,958,474,387,593,015,498,862,253,598,358,502,209,258,
540,178,553,093,305,275,362,867,213,759,635,350,776,365,195,578,619,315,794,
936,734,138,165,556,237,543,813,702,258,885,963,687,197,130,615,513,884,462,
952,253,718,671,276,987,989,691,503,767,812,441,130,317,541,823,808,974,492,
879,510,494,168,955,200,205,639,096,467,223,112,458,628,298,934,002,694,447,
918,963,200,384,215,234,148,058,522,859,290,656,520,134,451,724,298,111,989,
118,465,313,338,798,622,301,458,937,138,681,128,725,633,343,136,720,341,261,
581,852,638,525,330,746,647,294,146,483,700,204,055,789,532,891,923,625,060,
561,468,441,802,114,298,097,762,170,245,045,129,329,383,182,719,273,110,077,
575,793,642,080,130,693,599,168,885,616,505,561,487,695,922,195,475,552,269,
888,639,012,213,147,108,946,546,170,998,862,414,436,363,411,205,985,862,777,
294,060,877,270,408,833,909,545,663,922,730,190,608,292,353,376,532,384,116,
629,178,736,667,053,243,628,291,756,022,189,327,335,663,442,264,571,182,107,
087,455,729,806,497,333,505,325,131,095,108,002,360,290,709,280,973,612,977,
104,588,285,247,485,639,131,094,011,701,011,729,950,916,732,507,650,506,209,
065,504,355,751,540,450,576,827,516,189,006,283,573,092,185,663,981,751,216,
344,181,414,401,510,242,808,599,113,305,802,341,943,309,315,641,756,808,787,
369,612,215,752,739,946,783,592,830,301,835,554,580,758,810,218,971,985,835,
117,699,465,474,067,956,595,321,373,329,189,007,347,027,618,576,116,296,623,
717,112,112,853,052,779,071,253,307,276,129,690,742,635,192,965,687,206,278,
302,616,762,046,322,184,304,974,648,013,433,773,726,010,805,762,630,235,948,
582,160,652,231,127,818,384,884,727,230,966,778,577,796,504,543,879,027,600,
926,920,871,787,881,249,981,351,250,140,581,886,733,267,150,783,734,526,747,
030,644,570,383,642,913,134,896,285,118,210,071,799,881,036,467,181,238,158,
341,277,403,161,059,525,948,623,021,444,372,125,152,569,395,252,983,572,604,
609,667,842,942,537,858,335,690,960,720,176,138,688,582,926,772,244,063,158,
293,102,577,396,275,622,047,408,323,514,208,562,160,824,928,092,222,769,946,
494,664,198,759,918,327,781,685,678,709,623,292,320,275,617,235,910,437,398,
303,634,417,402,873,674,021,528,922,651,823,222,552,881,283,877,070,306,799,
020,711,139,322,266,859,237,255,464,381,774,531,360,404,337,373,938,735,605,
807,214,201,897,150,190,774,748,321,863,468,681,680,727,361,868,913,556,931,
406,474,245,441,017,402,477,505,282,360,452,911,794,916,985,442,567,702,529,
231,481,227,716,261,889,862,912,626,353,510,215,200,381,111,644,399,487,608,
721,214,765,574,326,611,989,159,546,687,161,354,625,796,799,169,379,899,015,
730,823,657,103,231,771,705,124,931,572,341,992,035,958,214,352,482,028,444,
489,339,504,496,346,849,821,347,231,821,670,328,007,720,072,206,126,742,819,
874,235,121,731,829,980,450,765,352,025,084,100,538,945,414,996,168,293,781,
762,375,181,683,296,827,511,018,437,436,507,415,834,340,768,548,993,032,405,
095,652,381,970,233,597,301,634,949,972,845,502,012,656,375,631,464,598,418,
470,526,481,898,286,083,723,945,602,467,820,621,761,107,875,536,434,000,082,
857,993,505,502,884,605,753,396,144,375,577,692,747,042,512,558,845,788,078,
548,884,760,106,378,327,726,964,021,292,346,418,797,264,852,673,419,332,333,
497,800,266,107,745,520,156,964,528,662,524,383,981,816,602,216,038,141,122,
576,998,712,013,393,860,644,680,831,015,995,496,843,613,732,695,913,050,575,
548,956,273,178,558,542,002,576,673,127,731,605,660,364,279,044,951,021,774,
309,756,216,402,544,794,134,220,395,694,344,409,172,370,333,570,642,912,317,
952,608,889,995,722,820,707,061,889,960,563,940,060,978,629,557,496,964,392,
561,639,057,916,539,500,844,573,405,046,655,043,099,584,802,089,883,298,468,
526,571,131,572,734,445,032,518,365,823,313,305,229,318,590,811,080,553,619,
725,438,861,513,878,600,916,199,497,331,478,468,166,860,718,302,740,170,450,
796,233,453,811,846,971,816,962,780,547,340,179,224,340,185,615,968,965,925,
963,288,669,671,450,687,803,206,757,185,007,044,497,081,794,977,976,858,319,
427,172,812,706,492,605,211,670,124,408,807,783,064,515,712,858,874,369,235,
110,897,551,893,088,023,911,244,202,579,161,368,209,555,466,776,192,215,410,
757,494,022,559,816,806,126,165,408,434,518,665,789,735,602,245,959,621,328,
074,614,659,155,859,136,506,594,808,212,140,261,759,045,322,811,608,730,489,
344,438,871,282,745,233,926,471,886,653,631,494,360,392,474,034,384,752,911,
875,846,500,144,968,233,497,458,614,527,784,788,255,184,864,130,522,710,601,
173,971,630,746,611,176,146,435,885,155,232,687,996,273,772,400,228,954,596,
075,536,659,889,203,384,164,770,662,148,901,703,742,292,539,099,369,304,088,
236,888,354,973,810,432,416,387,533,158,156,788,587,941,970,108,504,245,713,
311,568,263,722,239,835,728,922,254,717,102,563,566,259,232,516,632,819,273,
136,593,139,845,142,512,201,224,669,732,595,430,615,407,123,869,805,615,777,
075,795,260,205,779,176,136,045,078,026,384,936,861,399,372,154,957,385,868,
932,558,754,176,707,502,666,324,311,278,121,556,821,782,012,551,705,781,725,
277,245,551,949,693,827,475,604,246,952,600,465,173,846,783,312,271,336,495,
362,924,523,461,580,663,307,788,057,304,512,123,525,931,180,507,521,265,165,
949,611,891,464,990,092,309,172,301,505,375,351,610,918,826,929,510,758,305,
421,530,157,673,376,485,599,511,674,087,380,710,258,224,614,340,365,495,946,
604,184,897,407,776,659,277,176,076,079,125,859,658,769,398,121,688,297,980,
960,886,718,357,821,345,033,311,632,988,313,983,986,437,337,503,171,232,960,
374,385,749,322,721,251,040,434,001,699,507,631,357,326,522,547,770,023,786,
801,113,588,086,607,135,920,578,961,697,297,148,561,701,728,697,808,800,101,
119,074,661,606,381,051,529,624,551,783,498,385,050,795,269,279,008,311,444,
456,751,487,287,873,422,210,910,764,301,916,675,908,832,787,073,398,297,724,
315,538,594,482,735,785,254,231,666,900,561,078,755,461,407,755,449,631,569,
274,573,248,031,092,342,962,454,627,008,191,993,518,807,852,943,681,341,925,
081,487,779,221,067,064,570,925,829,803,046,876,973,832,990,138,002,252,440,
402,400,450,343,612,683,773,014,468,651,384,420,471,345,479,805,689,120,777,
404,884,679,290,333,550,451,993,502,429,710,872,249,527,788,294,683,122,897,
834,250,189,551,000,799,117,269,221,632,262,710,974,821,164,936,504,511,789,
681,203,750,938,642,009,054,932,415,472,545,935,966,666,757,984,091,477,023,
405,478,218,585,601,801,000,399,950,348,993,665,865,586,522,010,470,782,063,
388,596,165,136,200,445,126,236,052,383,279,581,643,340,171,938,614,536,313,
939,331,679,400,005,826,147,372,527,351,903,307,359,688,068,226,071,611,039,
265,635,085,967,229,953,078,784,292,576,178,388,071,898,001,064,640,887,168,
097,365,977,657,245,893,208,995,452,826,637,791,069,205,414,050,855,101,601,
291,123,537,975,119,102,860,546,644,478,472,725,710,410,721,509,779,308,936,
826,191,927,225,984,264,088,365,901,359,711,798,858,914,138,975,691,157,074,
473,495,788,961,850,474,970,132,407,408,604,368,501,187,076,801,458,827,115,
947,740,418,673,747,287,507,610,039,843,223,851,401,365,149,580,699,382,041,
903,966,220,293,997,270,913,435,943,426,348,370,214,899,126,343,861,174,376,
189,530,448,898,438,512,780,377,362,949,897,194,590,918,086,481,937,613,647,
491,354,575,271,274,857,232,962,183,836,147,844,244,658,528,692,178,059,472,
193,206,657,614,272,974,831,272,917,729,157,320,693,007,939,299,930,766,601,
858,820,296,303,774,101,781,938,341,367,720,071,413,783,208,580,916,358,833,
924,631,221,683,695,696,464,007,079,471,741,541,446,674,739,678,662,863,220,
793,791,219,417,772,238,883,629,337,791,506,496,119,929,699,139,718,617,674,
658,103,902,682,365,205,494,459,081,595,063,759,524,930,760,218,799,809,308,
131,242,861,624,332,115,052,631,928,386,886,006,578,513,465,867,707,396,774,
033,855,779,887,002,166,163,217,801,345,097,930,101,516,626,932,156,374,519,
455,701,250,823,126,746,657,448,406,587,803,110,339,039,307,017,142,894,227,
804,700,599,778,840,648,928,268,799,477,849,593,388,564,854,613,774,485,950,
475,843,498,278,337,910,032,207,336,371,752,139,317,963,402,422,537,398,868,
405,515,506,487,310,049,946,938,786,950,499,368,523,116,080,598,976,918,426,
509,453,262,376,543,511,124,936,747,782,776,354,479,857,087,556,188,337,672,
039,025,625,565,624,249,481,675,285,671,923,441,457,179,613,920,045,027,077,
636,157,642,192,476,676,343,151,060,294,071,326,910,754,880,015,587,860,066,
348,078,537,025,177,479,695,654,773,836,141,595,412,124,442,183,481,590,941,
489,142,500,736,977,922,021,541,043,451,839,176,037,975,286,988,656,270,426,
469,327,429,777,942,809,274,089,061,888,424,133,236,506,962,521,291,754,029,
280,508,030,683,747,510,113,502,454,769,376,570,884,258,963,165,185,715,253,
634,061,504,945,133,359,444,086,081,259,269,636,731,858,941,810,977,850,897,
466,090,441,341,242,978,744,132,930,621,277,694,095,783,828,511,441,449,495,
963,551,548,267,869,057,899,506,200,906,329,533,844,231,836,870,550,310,010,
417,671,068,402,108,764,888,241,768,113,260,271,701,895,996,588,988,174,350,
413,468,922,694,610,087,579,143,981,574,955,049,313,873,929,914,998,137,245,
830,010,871,751,903,340,250,734,255,436,389,821,999,938,237,605,290,814,595,
213,791,459,950,831,551,209,583,020,132,359,330,549,719,422,216,214,733,781,
019,436,764,561,455,303,349,284,131,008,199,400,784,572,893,114,123,475,558,
722,607,753,951,411,830,878,537,124,921,811,203,488,223,622,202,493,383,886,
227,291,308,257,980,157,350,510,417,298,170,785,921,464,788,947,311,919,222,
953,247,198,353,009,943,144,017,838,263,428,772,309,947,218,404,650,911,595,
353,251,439,098,539,912,916,654,893,782,771,112,310,498,507,833,090,188,179,
427,095,963,028,193,021,438,236,622,749,734,284,657,053,147,485,817,697,898,
472,319,389,987,058,708,756,262,087,931,451,604,029,997,491,688,821,248,734,
693,649,992,849,135,000,946,945,793,000,739,748,180,858,714,173,630,155,530,
406,202,783,372,806,527,765,468,766,780,887,767,056,121,043,539,626,933,681,
648,557,641,907,529,080,830,800,694,131,203,446,889,770,834,528,385,064,225,
932,019,237,303,377,422,721,647,392,603,292,139,312,708,119,664,390,733,487,
791,499,308,909,265,005,046,595,631,509,969,183,656,162,716,767,995,730,155,
213,085,069,866,849,552,145,349,387,208,577,039,817,550,087,911,760,360,071,
891,813,496,603,947,926,050,877,505,662,981,748,877,213,446,135,679,690,596,
734,675,622,203,028,722,393,211,198,892,169,789,985,968,086,556,627,111,101,
075,180,972,029,486,533,124,835,921,180,475,231,576,218,791,822,897,585,723,
809,750,298,258,195,671,309,862,692,708,598,416,625,092,285,170,374,165,943,
922,265,434,467,166,357,939,479,953,517,982,895,725,582,426,632,556,317,016,
818,230,846,575,050,733,160,680,919,762,890,456,202,073,881,684,113,426,148,
955,163,378,046,857,865,515,030,421,600,323,869,250,647,767,754,011,629,952,
478,226,719,888,202,367,341,014,680,909,362,557,600,213,696,631,263,190,610,
849,044,933,098,194,250,764,510,841,574,392,740,019,236,803,220,396,023,979,
729,063,224,647,478,341,917,270,076,492,472,558,404,514,017,420,978,849,822,
824,770,981,226,633,900,148,431,552,267,146,363,701,523,695,120,392,592,725,
108,665,495,412,304,536,281,840,189,703,168,531,527,958,361,456,499,276,141,
800,447,306,749,152,595,233,301,923,317,956,796,713,398,402,772,788,086,173,
545,363,248,795,507,836,370,853,554,193,207,572,249,566,567,833,957,145,751,
203,440,652,543,538,248,178,945,582,416,960,876,945,904,635,070,760,319,992,
060,207,925,062,202,638,398,009,412,635,055,312,282,000,013,526,325,549,191,
817,014,669,663,449,387,207,152,134,975,520,852,774,614,313,837,962,608,157,
692,106,403,319,695,481,516,255,102,488,513,566,440,846,684,621,995,241,467,
773,434,312,715,169,443,181,145,404,799,894,891,351,290,685,187,100,258,022,
333,098,230,241,679,392,045,319,063,866,550,273,486,731,640,810,999,568,908,
856,113,523,070,440,335,444,421,133,416,731,798,991,864,669,504,604,966,891,
108,430,155,280,673,967,054,420,680,279,404,562,710,488,498,063,712,336,717,
524,060,324,092,552,029,291,884,652,838,982,945,244,087,801,758,960,208,238,
549,358,304,067,133,288,175,315,746,168,056,970,180,122,876,086,030,524,379,
629,290,343,578,655,925,066,189,807,613,121,558,713,139,141,704,728,875,564,
670,310,027,404,657,448,378,169,500,810,279,851,626,228,165,312,870,668,969,
735,053,108,987,859,483,204,655,691,244,777,295,411,320,365,635,006,129,149,
255,164,054,083,565,260,483,626,828,259,256,555,205,194,784,704,727,576,452,
795,151,710,805,943,512,342,864,433,921,660,252,863,458,744,383,687,726,368,
434,499,862,449,091,985,596,685,886,055,442,234,225,456,330,860,159,438,950,
889,014,276,570,901,261,276,087,212,188,338,147,689,511,885,794,918,115,809,
891,230,197,728,444,493,219,156,231,053,212,582,067,611,432,670,995,519,257,
251,093,691,732,773,778,728,763,389,029,317,186,490,409,113,008,173,121,310,
790,191,891,724,242,200,024,634,214,609,755,911,363,691,169,188,643,573,718,
231,480,977,403,551,861,588,778,984,551,956,324,759,470,778,135,768,831,035,
573,953,720,224,365,860,675,520,799,238,598,652,810,621,366,835,465,815,687,
529,980,387,445,469,795,288,673,324,614,521,522,488,520,501,826,505,009,272,
142,381,905,947,866,436,586,895,706,298,295,152,299,202,696,832,304,148,550,
096,954,221,854,229,341,041,191,722,406,212,089,352,224,656,773,844,530,070,
752,774,148,153,069,957,098,526,300,620,894,722,069,489,192,632,012,862,449,
808,417,389,926,622,628,033,126,835,737,428,849,624,009,144,986,831,645,654,
638,865,019,097,995,483,634,513,066,675,840,793,410,791,352,121,893,228,048,
883,669,079,612,299,651,806,173,224,922,832,619,395,975,707,586,105,897,720,
994,551,068,992,483,950,596,084,173,787,265,520,551,952,670,328,707,347,723,
793,113,683,314,277,844,824,343,990,113,476,464,416,884,274,245,204,603,182,
735,078,189,581,195,410,689,621,245,821,603,578,027,635,274,860,434,851,590,
226,359,312,290,387,089,816,692,230,973,077,068,571,308,393,698,964,635,451,
708,526,176,617,498,403,741,747,705,479,927,368,241,946,649,953,463,769,939,
896,230,069,584,855,576,915,516,212,702,259,677,133,730,899,451,059,204,038,
955,593,442,558,044,998,497,553,840,466,040,736,550,582,003,011,871,180,902,
635,283,907,542,827,939,629,947,766,216,253,736,624,119,400,500,015,187,042,
442,062,395,422,717,599,982,039,711,852,716,407,292,070,787,459,007,678,771,
026,635,332,497,355,535,605,816,356,112,308,930,040,821,048,128,877,263,746,
248,799,760,062,468,332,981,322,685,471,276,070,010,347,093,355,329,822,631,
890,256,529,007,543,173,600,646,536,770,977,843,856,465,590,100,974,705,270,
697,383,855,558,973,454,890,993,467,239,162,551,581,298,136,229,832,150,263,
021,411,384,968,180,187,989,571,989,273,486,599,347,606,817,589,413,394,293,
000,926,705,304,782,141,690,927,183,429,630,106,157,258,875,289,289,484,215,
238,649,437,348,123,512,771,384,721,768,659,284,200,471,646,519,341,846,033,
836,782,027,182,310,034,520,518,406,711,805,780,592,476,035,058,222,901,489,
769,225,485,097,837,405,746,703,516,187,934,338,966,352,881,277,707,899,086,
354,968,858,913,349,325,466,916,765,546,765,915,727,276,352,827,603,822,723,
883,470,102,151,527,471,087,835,991,923,168,253,945,346,856,068,160,023,949,
550,946,196,928,491,579,885,375,939,771,498,521,365,891,776,474,660,761,163,
974,163,187,840,761,689,307,431,467,364,516,178,855,261,512,333,169,653,283,
919,110,753,894,737,229,918,343,154,096,211,490,543,271,301,260,077,704,629,
707,176,045,897,244,964,068,312,057,780,368,595,352,521,812,794,251,080,520,
015,472,194,463,899,792,740,165,109,427,997,106,403,637,010,885,184,488,572,
859,856,047,533,398,906,355,273,911,297,885,470,165,294,990,076,432,819,712,
188,790,186,035,995,531,890,929,202,067,206,386,166,807,461,144,479,586,709,
006,066,986,876,239,378,901,868,763,766,656,484,564,545,455,905,292,301,305,
734,892,319,078,059,506,664,225,907,374,875,914,839,608,109,394,635,001,021,
640,339,004,249,410,590,387,536,521,782,098,814,950,086,109,717,825,580,593,
312,620,283,006,761,154,833,955,430,698,934,741,696,551,822,408,057,483,606,
694,022,617,557,207,089,749,284,026,137,098,392,795,492,822,043,571,264,027,
982,231,225,200,984,244,710,260,097,244,491,888,870,035,376,941,863,046,692,
389,879,518,565,513,356,885,347,299,724,234,156,733,518,419,431,304,356,326,
220,167,058,475,237,951,632,635,812,870,610,708,658,561,158,220,603,067,210,
957,636,557,850,960,748,938,532,048,158,223,315,766,016,075,467,286,673,448,
141,851,381,384,933,424,308,002,283,752,512,263,821,024,407,868,438,993,664,
461,870,197,829,699,770,161,868,484,395,622,177,024,755,633,531,175,233,073,
035,832,608,253,863,398,712,210,604,305,821,325,010,077,577,104,656,248,715,
140,064,034,082,398,340,270,908,741,972,011,962,666,251,103,818,401,174,340,
316,766,990,055,668,625,690,995,583,242,479,068,009,483,113,005,097,328,121,
041,253,430,354,049,732,461,734,708,786,709,157,674,330,681,071,033,030,403,
670,959,474,172,211,250,668,519,010,989,412,991,754,779,501,195,936,996,375,
636,586,132,697,220,082,593,120,223,707,683,326,207,114,232,416,748,349,719,
727,423,658,715,880,887,381,374,111,959,984,585,583,682,072,456,898,461,257,
022,759,928,277,979,955,261,744,900,941,034,982,283,755,403,928,135,433,217,
195,364,145,248,007,883,684,428,446,487,996,144,188,795,222,283,008,180,246,
248,038,221,479,450,726,983,125,808,432,265,298,866,847,436,806,624,424,088,
974,820,124,255,819,002,020,240,456,840,164,577,776,642,158,701,708,019,906,
902,802,147,408,155,995,299,057,242,124,384,612,874,485,727,002,510,508,555,
435,188,546,745,140,334,190,737,650,225,444,544,238,554,388,302,599,470,517,
641,433,535,130,782,187,129,902,253,274,814,605,778,708,664,413,661,384,313,
597,315,415,564,042,277,092,037,561,427,846,795,278,205,158,918,189,239,028,
595,495,518,778,459,912,011,573,488,145,197,964,253,616,744,938,991,061,073,
371,275,445,759,919,437,231,327,905,693,526,213,902,457,568,685,715,993,077,
230,948,474,281,117,467,658,975,594,067,480,840,436,162,109,481,499,596,073,
986,522,556,740,036,787,621,262,325,476,486,008,417,139,661,840,769,605,418,
197,414,928,368,038,326,953,488,686,271,953,005,022,543,319,247,838,359,114,
519,229,767,991,631,822,461,980,733,861,298,827,113,122,737,934,949,900,471,
702,314,687,727,730,833,978,188,797,056,552,105,841,343,726,009,851,191,760,
918,234,170,672,260,139,914,638,695,815,223,146,932,281,089,268,230,968,471,
097,055,879,018,263,941,424,409,307,444,309,489,434,544,715,368,927,480,164,
560,479,753,718,102,662,543,037,956,155,368,560,202,435,604,561,145,437,602,
754,281,449,805,627,090,568,107,885,319,964,745,843,662,661,109,135,204,269,
597,211,108,623,070,185,899,237,387,925,943,127,353,051,472,917,971,983,899,
135,600,360,828,134,574,904,057,565,568,415,234,275,240,442,321,445,423,353,
747,363,278,985,197,693,164,239,541,814,912,584,144,117,419,989,329,592,420,
203,984,637,363,604,129,352,640,604,887,467,122,180,873,617,996,487,963,880,
821,901,462,456,236,349,255,513,874,576,119,400,149,139,207,457,985,298,093,
024,485,360,752,941,444,222,787,152,711,016,340,898,739,608,135,458,235,446,
779,905,191,139,423,239,674,940,177,108,702,554,244,883,774,146,513,145,849,
660,143,298,839,744,304,554,425,415,676,496,770,624,868,266,325,755,424,074,
640,006,093,553,788,748,544,295,685,321,810,185,018,552,958,574,052,451,144,
777,520,617,677,520,339,152,744,580,404,397,490,505,782,638,031,376,498,305,
270,123,388,178,119,290,836,767,997,359,289,846,621,439,396,370,781,917,242,
315,307,378,188,701,516,339,853,414,219,042,715,272,788,611,724,080,584,680,
135,483,061,105,388,889,736,917,916,111,635,037,592,404,141,056,958,868,588,
564,250,407,235,232,696,994,755,915,879,515,160,889,074,018,455,448,374,381,
295,837,171,042,619,960,505,911,304,305,969,424,148,622,921,711,940,554,218,
892,947,826,654,007,722,638,771,600,944,830,069,379,374,315,067,567,629,796,
821,977,637,856,428,816,612,750,380,870,776,704,117,999,030,417,079,238,596,
923,460,131,705,015,845,943,455,845,263,459,250,665,268,161,849,383,427,605,
293,517,074,903,560,257,413,096,150,872,160,351,408,799,133,003,908,501,128,
991,149,920,209,178,773,841,857,212,905,758,776,554,280,851,277,794,848,993,
222,818,767,525,929,549,935,009,580,258,398,517,693,128,579,625,085,627,037,
090,444,338,985,864,922,621,277,572,173,400,136,373,977,987,720,966,333,269,
922,370,583,939,444,548,740,387,258,431,944,868,129,825,701,283,155,600,957,
577,311,456,937,763,582,019,093,848,214,783,445,535,630,205,904,315,464,313,
652,634,503,855,430,019,669,762,874,389,449,987,894,035,274,871,071,239,587,
207,574,441,171,586,659,764,603,151,023,984,622,887,097,840,017,668,504,162,
347,481,441,389,827,448,767,866,778,618,001,564,917,154,983,166,495,593,424,
007,147,430,768,268,317,243,209,257,495,667,775,384,905,079,198,723,343,681,
367,691,625,865,400,187,789,503,441,254,303,964,880,142,289,648,611,459,959,
583,095,314,493,132,953,590,399,148,511,812,858,649,324,234,781,558,538,281,
803,640,095,134,168,009,332,575,872,908,456,405,000,745,236,891,528,222,069,
534,421,412,081,284,576,395,475,935,365,106,704,963,855,847,732,160,932,221,
116,367,820,516,944,395,743,717,493,636,255,767,513,112,041,278,537,579,268,
124,116,348,445,145,656,486,090,648,975,073,030,241,851,915,655,496,143,324,
726,946,452,922,431,647,778,326,588,823,070,359,942,596,810,152,046,106,151,
487,883,013,764,049,966,376,285,893,863,374,888,121,693,462,024,616,394,557,
802,147,765,624,247,934,400,795,244,994,048,686,157,262,994,702,789,005,015,
839,334,345,563,659,459,527,509,449,968,620,517,160,193,311,816,365,960,958,
390,467,857,114,451,589,091,668,042,660,533,311,431,042,738,582,884,425,517,
083,752,028,187,666,913,645,219,481,662,137,076,283,369,276,828,408,324,532,
022,525,218,070,597,358,342,235,242,030,558,699,747,722,295,993,855,908,380,
442,683,765,488,339,852,288,604,043,150,115,362,156,977,474,198,417,048,327,
240,368,818,028,319,909,967,318,926,603,318,657,684,543,549,613,409,305,822,
291,298,314,228,854,780,510,031,910,422,166,051,148,868,513,596,595,655,186,
432,630,863,105,245,112,149,931,866,053,697,367,232,177,328,738,994,101,520,
277,993,220,410,190,398,018,437,274,788,558,155,949,549,024,942,100,009,332,
769,421,121,899,936,427,453,954,021,591,937,564,765,918,174,877,053,935,788,
836,706,285,475,964,661,796,605,743,001,175,775,538,338,147,619,586,067,465,
396,743,436,375,505,292,180,212,656,753,365,738,722,824,635,613,432,455,485,
391,022,199,487,855,477,195,033,902,636,302,966,937,049,805,219,498,105,536,
214,641,906,963,296,436,444,069,239,098,179,823,125,848,080,663,731,324,261,
356,986,586,388,939,516,309,853,014,581,331,202,389,906,113,182,716,340,004,
303,435,021,576,025,464,186,836,248,427,194,978,396,180,399,945,178,297,749,
612,893,398,228,350,282,318,423,012,446,853,267,996,490,983,010,152,505,952,
027,971,870,229,105,656,348,536,326,459,385,786,522,652,383,387,008,524,915,
052,339,662,413,090,781,045,617,588,312,751,750,092,203,172,809,281,068,661,
370,293,438,035,236,450,098,813,227,208,547,670,473,766,386,922,283,964,919,
932,256,321,562,323,731,716,160,601,065,223,318,075,525,419,405,229,308,260,
046,813,522,346,708,521,109,067,457,954,935,840,289,100,014,399,274,965,486,
597,297,347,496,218,571,221,648,949,552,615,602,004,613,426,145,888,628,689,
879,410,227,927,079,738,622,109,974,381,510,189,568,292,901,890,760,929,918,
783,123,012,834,568,465,531,234,480,331,634,626,913,622,108,179,730,017,338,
406,966,912,611,386,988,524,827,361,348,617,925,219,555,401,272,083,055,513,
063,568,061,551,062,390,220,494,400,650,984,598,745,814,758,351,424,804,003,
069,491,801,280,782,966,813,730,293,996,898,133,706,177,038,708,409,861,076,
259,851,611,086,769,463,320,318,292,175,708,997,237,357,910,311,921,745,799,
264,073,808,675,069,716,540,619,362,707,979,880,230,963,804,272,984,096,340,
446,726,818,510,400,201,787,563,145,220,025,649,974,904,143,251,103,105,873,
413,921,905,507,180,520,071,885,355,997,286,826,404,614,857,306,984,015,216,
193,297,565,350,366,053,251,715,813,510,852,355,108,086,026,958,424,249,263,
511,293,736,676,773,022,501,903,294,093,295,774,873,237,444,158,350,666,202,
402,073,134,503,044,742,047,783,726,468,542,574,585,583,040,877,028,144,668,
578,968,092,695,448,974,205,548,737,109,678,749,348,965,307,613,430,645,713,
400,356,043,305,210,304,977,217,315,569,890,014,903,624,775,370,851,542,440,
919,735,535,219,142,081,070,927,392,441,127,767,952,871,982,734,368,006,208,
258,646,028,696,968,877,305,539,921,830,365,044,526,969,757,077,436,437,357,
184,417,682,700,837,469,408,976,806,702,859,811,098,808,239,622,223,803,809,
880,759,268,111,495,096,636,188,063,158,097,364,318,633,725,332,868,692,399,
615,866,309,992,842,843,094,073,498,697,727,512,306,466,623,999,427,056,986,
472,351,104,336,933,012,251,035,349,685,053,638,217,906,723,847,546,157,668,
443,180,556,837,422,831,447,253,583,688,267,054,747,762,055,634,857,590,828,
389,814,487,934,073,964,219,017,030,703,231,318,410,453,638,175,289,034,103,
280,626,859,759,838,711,771,813,990,294,835,114,030,991,160,583,995,895,463,
043,393,193,435,043,810,059,725,308,895,350,562,814,658,842,428,071,395,728,
697,707,610,902,788,524,532,616,006,407,064,381,460,443,846,565,518,300,837,
464,216,675,292,957,531,471,408,871,600,297,974,454,747,856,059,884,667,683,
296,123,285,720,251,648,045,000,957,422,653,483,772,881,341,223,489,880,076,
941,304,933,531,334,171,952,238,632,075,043,612,349,749,294,580,045,134,402,
971,120,719,106,383,185,355,865,037,585,687,834,026,821,789,405,608,544,800,
544,688,574,923,940,484,627,384,757,927,494,337,698,971,009,998,403,328,525,
205,245,343,911,275,778,760,743,916,114,843,839,858,020,580,060,028,906,528,
219,832,056,133,269,715,585,630,484,496,559,977,239,678,961,310,513,400,897,
157,367,356,525,168,084,305,146,508,581,681,059,278,769,285,731,563,094,811,
782,265,090,957,275,182,112,984,748,668,042,080,192,899,235,277,843,944,962,
896,509,230,038,626,250,938,039,337,187,480,434,783,314,857,665,096,440,566,
186,664,655,413,019,306,457,485,600,410,394,512,500,160,107,862,459,209,648,
404,812,365,029,425,459,984,612,234,247,458,725,261,997,661,610,534,774,787,
718,271,200,929,416,734,170,319,297,172,020,253,437,785,204,588,940,213,544,
993,917,415,890,795,667,179,382,790,781,640,600,518,589,655,881,369,591,976,
435,720,241,177,204,287,528,052,610,421,492,432,120,859,090,252,274,481,182,
092,198,442,063,921,015,292,372,535,909,803,076,656,195,456,075,548,960,943,
357,624,375,533,796,888,738,069,724,699,260,370,759,497,585,924,666,702,904,
805,402,216,636,526,052,614,812,575,595,096,188,075,775,474,345,743,798,893,
132,325,862,836,888,472,053,763,524,997,194,929,344,376,690,125,966,129,174,
036,636,877,029,508,499,848,813,952,405,726,310,699,747,940,602,837,533,860,
195,093,234,890,026,300,431,805,754,773,257,353,303,117,679,024,714,167,635,
457,984,207,776,484,215,251,307,441,444,313,917,647,974,937,737,714,494,400,
421,950,974,708,711,614,387,944,619,653,531,713,288,321,033,391,926,816,636,
752,408,258,641,798,410,253,136,779,807,051,982,841,913,311,656,200,266,904,
715,715,380,032,360,119,344,315,582,213,009,666,745,800,635,407,958,793,529,
176,844,615,446,104,728,492,566,749,380,429,108,397,289,800,992,011,162,210,
992,968,809,038,555,631,152,274,729,172,756,535,779,879,198,619,498,705,978,
621,186,379,217,551,720,257,574,187,726,474,774,380,579,890,756,152,310,467,
171,796,810,554,064,876,148,849,625,823,501,009,915,521,835,947,702,829,881,
189,465,461,596,428,984,638,729,937,413,994,893,916,198,255,525,692,114,618,
100,075,895,787,741,776,060,916,732,728,666,884,567,240,076,388,023,091,248,
184,823,513,147,980,933,373,982,711,563,888,259,507,302,895,621,097,182,687,
536,141,163,644,522,056,099,186,166,631,108,993,893,595,195,535,148,913,833,
950,639,480,595,926,941,550,052,146,061,210,707,323,168,641,004,436,184,215,
331,963,143,895,774,913,125,163,059,425,723,386,761,793,033,838,291,048,053,
061,441,772,679,595,833,958,509,221,173,471,251,501,139,325,095,892,118,939,
005,053,946,355,723,882,851,645,586,021,480,639,917,026,745,661,355,350,483,
074,720,756,864,024,856,031,156,985,490,159,150,218,799,790,443,467,870,097,
895,676,841,707,363,478,520,555,080,749,765,447,699,732,575,871,861,210,260,
557,523,994,387,822,442,019,447,157,849,092,362,046,274,560,214,820,644,026,
176,625,620,467,702,691,119,738,081,647,697,328,085,470,485,939,218,941,604,
399,801,232,568,190,324,976,340,784,120,717,431,014,172,442,235,777,365,579,
060,969,574,278,494,020,080,794,287,475,777,785,512,367,658,936,781,912,036,
654,013,221,625,799,518,528,677,507,643,361,640,969,482,191,200,609,513,566,
912,765,019,045,692,719,534,032,959,177,308,469,398,430,107,276,508,040,601,
489,863,198,545,665,707,936,572,919,092,716,674,715,208,445,051,322,956,495,
787,086,381,792,842,404,406,689,749,126,128,468,032,723,514,634,570,091,407,
816,688,143,228,051,207,829,556,814,342,233,013,238,115,612,156,717,784,955,
139,918,037,969,330,034,279,430,051,369,387,846,156,581,348,621,681,188,553,
245,310,499,339,266,520,012,078,322,353,294,641,804,100,615,024,467,855,843,
226,221,073,104,472,817,185,273,719,653,376,875,701,712,365,302,641,990,680,
193,202,862,195,383,416,084,662,894,989,780,503,783,414,313,725,366,614,633,
539,654,088,265,069,861,178,202,125,760,158,263,104,118,181,174,773,852,179,
581,677,098,927,964,797,983,566,778,712,913,174,365,403,148,323,669,373,840,
779,904,245,756,768,678,600,975,880,900,627,722,381,617,549,316,882,314,392,
079,373,422,856,308,621,131,196,359,396,740,373,829,623,482,187,469,044,858,
163,823,078,244,614,468,402,876,823,904,722,794,122,797,219,209,470,033,500,
605,150,094,027,210,843,192,468,084,846,587,831,582,503,937,926,318,906,546,
829,517,461,456,973,425,241,146,803,301,842,866,772,868,244,620,045,642,223,
241,018,465,095,092,650,858,499,031,295,802,077,274,106,991,191,273,870,499,
326,511,397,007,968,603,233,144,870,324,532,257,495,175,698,566,424,973,414,
804,001,509,386,597,629,710,727,582,375,075,884,179,562,496,185,613,541,481,
309,538,174,210,012,495,165,104,214,460,185,669,611,274,314,209,696,817,498,
414,243,211,721,503,945,977,223,877,163,364,085,220,962,682,736,938,904,203,
034,583,655,542,779,462,078,681,709,637,900,706,002,795,181,323,615,283,037,
948,658,547,131,188,480,788,264,236,083,553,647,333,933,875,994,478,809,608,
056,553,739,638,896,985,092,980,478,857,575,279,287,316,998,205,439,729,774,
848,055,322,067,108,978,990,476,451,638,589,025,870,892,338,971,135,589,245,
173,816,020,843,699,819,332,323,860,109,264,012,766,173,329,079,249,880,618,
939,752,496,396,197,228,529,554,130,756,631,069,661,225,943,412,297,496,251,
900,474,058,822,381,264,375,412,960,837,193,546,177,351,968,838,385,130,273,
738,619,148,594,687,048,856,982,469,068,477,709,086,616,690,360,156,766,223,
589,526,714,121,419,782,855,917,134,820,762,611,267,475,651,164,802,017,132,
867,468,574,704,447,056,720,180,709,855,599,874,922,330,657,449,958,447,062,
949,941,175,543,363,244,246,574,062,320,138,811,055,714,080,483,870,253,862,
157,404,172,685,958,189,849,417,386,745,055,001,709,450,702,036,828,998,753,
471,348,640,717,041,273,940,348,981,684,378,482,296,453,449,798,068,254,022,
058,322,082,121,533,315,133,031,868,178,299,958,843,713,826,057,643,658,010,
026,997,263,048,851,251,437,769,085,054,094,687,735,544,188,590,878,173,376,
090,622,884,150,535,245,503,320,225,364,785,256,443,292,015,580,720,032,962,
637,756,703,499,621,028,668,056,254,645,822,544,989,651,025,291,047,070,322,
559,036,127,607,820,946,167,554,009,334,430,460,607,127,275,274,066,460,613,
597,543,690,071,919,628,135,582,088,720,960,136,388,996,689,368,773,816,770,
359,143,769,037,735,405,213,340,161,329,619,983,252,409,267,161,229,409,846,
303,974,190,245,565,224,702,138,378,946,817,897,282,204,202,240,485,335,621,
126,200,446,869,311,715,020,195,893,738,740,769,659,735,167,255,141,302,526,
689,899,686,784,270,050,550,480,346,322,626,762,340,375,258,278,762,932,125,
968,030,554,201,323,041,430,331,471,424,496,823,389,868,811,310,665,923,212,
542,242,910,738,141,991,451,205,301,544,304,856,343,039,212,510,092,514,588,
507,583,846,121,476,140,637,443,408,858,925,029,705,106,292,262,387,358,126,
114,775,787,174,485,526,633,672,261,997,384,089,117,521,026,893,405,200,372,
344,250,159,923,412,388,389,074,872,588,874,916,934,759,997,760,046,400,813,
842,998,541,372,419,530,239,692,457,113,103,401,018,630,414,769,193,919,784,
326,472,448,441,158,085,332,083,658,787,346,560,029,595,002,922,074,396,995,
426,308,343,992,292,099,241,642,876,295,296,277,676,169,543,173,996,660,039,
046,319,758,323,569,207,405,327,726,337,499,107,999,590,538,424,624,273,864,
091,817,019,912,766,577,395,602,250,547,502,968,650,373,386,998,344,373,893,
577,785,305,953,761,485,277,876,336,863,682,883,918,760,857,460,046,189,076,
474,869,461,662,237,763,522,085,045,749,577,694,184,634,756,093,686,659,882,
718,920,021,725,494,035,908,881,353,937,442,243,618,162,790,879,352,913,098,
538,296,582,097,564,478,064,756,978,108,982,108,432,686,716,937,290,827,322,
036,080,202,748,874,665,848,209,688,535,362,011,116,104,601,955,028,569,465,
875,996,989,609,843,276,139,076,950,795,204,628,508,987,845,931,328,080,376,
324,635,712,771,013,632,450,579,437,019,826,335,719,771,010,550,718,218,029,
513,922,971,685,318,911,165,837,177,604,887,926,621,693,423,188,492,209,714,
551,558,257,382,266,184,133,856,750,465,650,755,560,655,265,809,024,077,562,
013,826,568,110,457,046,938,779,364,412,744,381,887,647,860,804,242,676,852,
240,021,531,922,995,420,872,351,402,721,296,056,135,428,918,534,285,586,963,
674,684,324,142,040,755,718,388,284,509,143,730,562,602,335,056,828,304,168,
289,938,759,694,678,801,866,147,832,788,638,693,318,974,980,273,625,537,641,
506,120,640,183,756,218,607,222,053,610,623,787,380,891,243,880,383,322,563,
500,752,088,799,090,231,870,749,654,608,372,745,939,789,501,800,112,209,730,
554,895,295,998,900,143,866,896,969,614,984,194,758,804,067,557,178,389,590,
089,991,102,177,434,120,358,457,392,580,962,661,113,137,761,867,648,182,789,
409,029,304,120,671,946,944,605,184,275,842,814,072,005,812,852,164,583,091,
803,150,957,853,719,530,955,431,895,877,257,054,573,607,591,124,302,895,265,
106,700,780,313,651,647,753,358,810,631,792,115,113,784,320,988,464,113,098,
391,902,128,092,826,247,399,132,564,456,054,693,011,378,304,010,485,354,719,
930,246,523,617,920,943,290,752,435,427,893,155,472,015,868,787,661,294,918,
208,787,116,571,765,724,050,717,568,942,283,448,933,401,945,852,885,817,386,
746,746,317,607,028,984,865,531,893,146,995,045,694,027,503,185,542,608,840,
842,712,688,502,267,068,683,450,745,398,768,021,071,401,225,879,461,958,707,
186,400,322,835,761,732,028,695,314,060,052,474,829,729,756,877,642,914,220,
355,106,853,860,498,360,976,260,759,348,478,555,003,781,813,486,046,559,023,
914,437,962,213,809,058,063,434,910,360,354,629,433,469,951,264,126,451,076,
866,999,355,690,055,894,495,806,015,027,191,171,900,827,554,318,177,294,334,
239,387,864,613,169,215,199,990,813,495,561,429,479,585,742,246,081,203,380,
477,949,979,538,493,974,068,858,045,748,359,634,467,358,885,259,854,874,235,
402,930,824,491,751,838,525,536,848,857,630,315,938,126,985,806,917,861,580,
973,275,148,679,624,001,911,356,594,911,393,076,667,780,121,236,798,518,657,
226,977,720,107,891,486,686,391,843,292,459,271,793,549,629,656,097,284,401,
582,846,956,436,014,602,304,304,151,413,280,528,302,251,299,307,369,202,776,
243,250,940,651,777,522,406,298,204,266,480,969,068,716,044,433,218,792,353,
480,398,111,956,483,589,640,435,806,542,465,729,725,325,547,115,397,693,999,
766,621,817,914,014,924,234,547,766,300,280,698,949,221,968,237,918,738,434,
611,238,930,274,492,620,865,931,435,017,692,839,576,964,732,324,117,105,782,
956,042,732,295,589,049,676,161,922,944,483,662,159,775,486,285,636,108,481,
730,050,289,896,515,898,364,318,275,694,683,476,883,915,348,233,081,569,701,
726,743,213,567,124,242,291,286,448,941,302,657,537,009,473,036,960,803,462,
574,271,868,859,705,055,092,164,008,768,998,118,571,133,057,838,352,086,641,
947,970,970,721,329,881,671,211,523,480,176,259,710,869,890,404,745,659,529,
028,682,055,916,258,357,396,922,708,037,380,490,127,844,817,162,180,380,275,
449,774,190,598,487,471,086,482,624,165,746,475,024,865,933,947,699,065,102,
770,673,638,387,970,626,254,558,993,599,929,904,890,269,317,729,232,446,223,
150,551,900,945,572,217,224,654,632,383,157,746,442,325,958,143,180,281,639,
258,758,990,920,876,281,675,012,631,790,394,854,348,849,954,402,886,219,653,
063,719,965,859,664,400,422,807,041,201,718,005,962,777,054,292,280,745,134,
922,969,683,118,996,782,390,182,193,536,710,130,585,811,544,860,563,527,926,
598,392,781,279,298,576,155,182,505,459,824,640,598,407,080,597,745,603,636,
944,353,131,271,894,089,089,623,423,488,738,318,423,083,722,104,188,262,351,
909,775,383,565,199,101,249,371,497,375,889,892,321,010,113,177,505,327,160,
420,890,143,423,155,260,231,415,343,703,619,841,490,340,296,412,939,090,692,
365,178,964,816,112,130,607,911,701,544,525,762,226,211,685,488,174,674,412,
560,444,681,338,308,070,701,775,215,447,565,456,949,211,118,854,932,057,394,
857,419,584,492,915,461,169,222,252,657,572,329,864,230,309,820,944,110,114,
470,161,770,360,827,683,723,601,442,994,756,873,051,949,652,916,372,545,734,
609,731,607,516,806,853,551,558,461,663,260,412,421,002,001,222,500,286,910,
512,575,410,445,204,053,396,379,940,838,280,476,145,697,232,032,698,727,900,
054,797,458,945,901,125,011,337,688,666,386,682,401,959,116,884,597,019,313,
442,982,802,474,992,397,577,935,483,057,357,474,594,587,904,861,662,140,787,
495,221,244,687,885,943,877,021,891,714,976,325,836,172,806,560,147,132,518,
659,533,933,312,220,393,833,113,413,588,603,380,679,286,588,007,413,396,881,
262,436,627,819,848,932,841,619,513,673,296,153,412,505,532,132,015,600,155,
909,434,483,218,328,920,382,755,408,546,802,083,065,481,834,709,785,184,530,
602,196,536,864,699,551,055,207,457,930,437,398,844,360,825,604,223,748,388,
521,525,833,007,415,055,611,623,435,005,866,805,711,123,575,950,628,134,774,
033,221,485,947,653,952,030,675,538,581,564,330,429,769,485,922,809,068,880,
300,320,137,289,786,021,617,429,062,138,935,606,844,001,080,039,089,597,363,
248,452,715,510,283,206,264,852,993,983,523,473,649,614,943,037,719,008,878,
350,963,389,568,572,607,812,476,040,721,421,634,801,696,614,233,766,744,453,
169,115,902,868,913,999,437,141,680,192,105,442,151,735,892,368,522,529,902,
172,621,958,397,013,392,047,318,298,494,428,630,234,697,120,106,532,169,542,
877,411,622,825,466,210,473,812,494,071,893,026,771,194,439,497,709,763,005,
267,919,350,213,452,203,610,276,263,970,917,581,395,470,070,837,604,156,434,
096,742,096,954,949,152,108,921,145,669,700,906,241,091,170,820,388,980,180,
359,157,835,726,192,170,027,556,361,527,095,393,943,981,045,950,900,228,573,
282,914,521,993,967,402,740,710,329,965,964,124,565,467,192,803,816,102,979,
646,404,910,429,640,093,362,613,836,448,697,422,030,816,343,889,689,371,465,
282,568,832,968,595,280,711,420,627,747,713,350,387,963,021,268,361,319,115,
886,476,343,973,249,512,751,779,122,596,744,744,654,699,884,916,572,628,405,
967,490,131,369,702,788,603,084,462,473,654,085,702,801,332,288,435,121,552,
891,912,635,846,801,769,396,000,390,652,042,299,863,171,828,937,492,410,389,
018,428,546,733,132,617,963,627,520,312,719,338,599,397,737,548,669,146,202,
350,974,182,834,028,955,465,559,339,655,571,469,019,921,779,851,175,349,561,
464,815,331,110,207,401,671,286,401,279,808,211,903,549,082,701,445,565,963,
413,263,350,414,416,692,935,024,414,129,015,813,429,856,044,696,344,613,382,
089,386,860,303,939,805,865,610,166,583,752,893,365,807,598,305,650,672,223,
308,241,343,239,922,438,591,579,233,243,706,029,387,390,804,176,804,732,860,
226,749,848,897,185,642,333,144,115,755,400,605,037,564,535,552,833,447,475,
194,259,772,315,744,817,023,751,907,472,894,217,833,472,423,671,032,100,888,
335,269,489,777,013,044,585,641,355,579,291,510,408,042,967,444,362,727,837,
074,514,494,525,131,471,198,847,301,647,174,471,847,528,426,733,909,651,145,
087,406,035,778,957,788,263,954,129,766,937,884,054,419,342,867,551,189,216,
201,196,342,289,081,358,276,453,013,434,571,784,208,564,663,628,761,138,184,
816,166,718,944,382,527,915,884,641,824,248,395,516,000,739,440,480,538,083,
193,626,585,090,221,491,361,353,525,537,979,831,443,267,618,025,700,961,817,
770,120,758,318,952,745,033,135,196,063,155,245,522,254,069,076,478,575,791,
271,728,482,659,582,565,285,460,235,608,751,595,590,405,036,543,924,421,225,
974,212,338,041,404,898,641,293,132,082,384,673,808,752,442,519,304,702,410,
897,584,005,096,000,502,221,374,662,052,164,770,863,827,986,039,853,026,639,
317,835,609,541,288,529,187,060,018,687,687,005,437,372,301,247,692,690,468,
475,837,551,460,900,937,647,320,572,185,654,385,341,752,970,985,429,931,404,
512,094,324,245,379,341,709,432,263,846,465,223,857,723,674,377,460,843,939,
092,502,874,159,696,157,002,928,388,373,164,019,675,511,500,091,999,464,863,
947,404,672,643,199,177,339,177,393,730,647,131,981,964,508,761,362,912,196,
917,094,998,133,209,121,458,011,815,482,939,368,315,415,018,571,588,025,382,
076,573,984,169,750,446,975,132,005,037,201,455,117,261,535,470,185,379,116,
667,359,503,956,394,573,572,297,228,090,787,546,189,090,761,605,070,229,998,
712,473,067,588,579,232,786,458,680,315,231,744,626,963,987,494,013,021,037,
340,338,888,189,344,837,832,021,500,230,994,591,449,303,608,921,729,874,941,
952,025,895,056,521,835,487,359,207,622,032,670,024,337,049,479,989,804,384,
469,084,152,397,834,748,031,572,141,292,271,455,122,178,517,148,343,553,517,
166,937,562,834,921,442,441,878,057,508,715,961,545,709,052,749,501,743,334,
742,925,148,038,838,660,953,312,235,773,727,889,440,172,132,152,268,932,308,
327,199,130,267,610,378,190,136,598,038,431,064,499,597,445,460,332,187,544,
423,783,082,457,861,204,820,956,246,135,700,608,170,380,279,094,111,264,266,
633,440,421,109,219,200,798,370,043,563,318,415,149,621,669,682,267,112,783,
598,019,699,341,236,593,839,039,500,841,642,211,943,795,097,961,627,741,467,
231,315,598,336,390,456,459,019,079,939,768,804,486,999,471,378,321,391,950,
051,576,314,793,583,546,263,552,309,587,809,910,043,406,799,888,172,644,547,
371,812,217,366,239,177,470,931,319,233,303,200,140,993,603,234,173,709,317,
291,370,389,567,486,430,485,053,941,012,757,145,626,527,430,536,905,712,567,
681,560,923,112,089,509,906,568,940,173,015,965,288,360,712,258,798,652,994,
356,896,961,495,290,389,936,324,799,728,512,220,667,168,026,298,302,787,726,
535,151,327,168,433,305,397,073,659,136,921,211,967,678,921,095,083,917,717,
185,536,455,252,733,951,408,047,324,407,017,448,003,551,636,845,823,889,466,
763,075,051,392,853,201,339,359,410,447,142,091,860,245,136,697,995,250,490,
452,636,462,836,012,809,953,232,144,862,136,087,029,406,516,665,031,301,630,
807,894,513,012,269,775,459,939,652,039,308,186,270,882,205,533,429,110,631,
624,807,937,205,689,788,400,908,774,016,655,776,131,479,066,322,933,592,358,
722,256,812,290,634,036,025,826,838,378,712,009,357,994,106,528,964,435,034,
792,646,087,455,571,594,627,651,035,099,803,463,527,899,725,656,838,223,474,
669,609,761,963,506,635,526,560,114,743,088,679,106,263,083,703,739,289,873,
297,816,587,361,941,325,555,793,534,914,821,397,706,007,886,598,260,722,454,
819,266,948,282,199,983,505,280,701,879,585,624,395,332,714,288,389,809,593,
769,231,742,797,498,743,670,124,597,878,703,808,514,584,781,145,986,106,142,
993,629,854,841,389,692,661,734,472,690,918,486,047,529,463,696,666,320,254,
265,928,664,957,684,000,004,506,056,181,666,625,914,088,194,691,462,715,916,
153,190,723,169,026,487,068,193,608,215,291,076,648,389,633,312,693,178,865,
565,882,238,766,479,058,117,892,634,004,427,767,788,591,868,365,289,130,668,
562,024,335,505,933,658,374,709,432,246,781,469,011,493,505,492,001,600,179,
388,182,408,251,341,562,969,229,170,456,001,922,630,966,566,539,266,050,894,
210,383,697,771,798,893,208,139,696,312,508,617,277,536,383,084,882,604,273,
709,037,921,300,383,177,005,689,124,982,344,234,274,745,799,363,284,363,227,
968,013,305,091,446,809,959,094,990,838,381,004,725,961,134,347,846,291,188,
401,602,611,058,610,317,580,563,479,901,919,055,062,382,581,038,194,887,247,
129,694,102,658,946,671,164,288,876,036,430,083,633,778,284,248,907,763,636,
087,871,416,068,359,780,001,377,421,519,410,826,141,151,304,268,477,460,839,
670,063,232,958,274,091,076,342,039,467,938,812,268,938,657,009,971,611,532,
458,891,795,129,761,157,589,019,910,703,643,840,402,934,553,393,789,908,615,
426,158,811,891,777,462,716,009,479,906,202,389,648,800,090,601,586,818,019,
684,817,700,390,798,989,068,055,409,942,740,761,609,887,165,407,859,324,298,
898,344,330,405,121,339,319,456,814,239,366,802,373,313,589,219,481,041,715,
656,849,476,901,064,900,473,961,187,992,367,210,003,291,534,353,457,993,656,
146,782,231,847,437,663,166,397,887,228,921,411,899,197,538,308,717,554,322,
902,045,493,471,628,018,768,768,200,781,717,922,292,848,131,334,731,267,700,
127,380,035,109,409,281,546,266,457,858,590,804,839,674,296,408,019,285,602,
351,051,401,321,949,798,657,058,956,239,315,942,930,661,338,448,486,988,062,
890,067,922,463,857,806,768,404,169,059,795,458,609,583,055,820,789,720,773,
819,986,596,018,443,057,090,506,877,082,519,325,275,626,446,594,552,961,829,
765,068,722,305,936,835,234,415,156,898,896,713,646,939,684,876,343,327,573,
041,934,929,199,335,175,314,283,939,504,821,294,855,843,547,477,113,226,101,
775,249,712,272,161,779,810,867,707,351,375,033,307,439,883,408,353,699,125,
273,483,143,129,858,350,783,572,408,570,468,248,276,027,944,800,368,673,736,
965,245,596,344,289,071,267,260,886,995,569,901,732,002,993,953,755,610,907,
683,301,074,607,703,956,380,123,212,418,338,310,395,318,435,803,687,342,163,
915,881,755,794,846,867,582,264,677,687,515,385,515,062,359,391,578,322,937,
611,020,555,456,507,935,349,431,921,407,262,468,628,980,436,401,004,781,730,
773,940,588,083,687,379,403,795,666,468,999,610,946,709,926,407,728,812,014,
922,680,265,417,014,046,566,911,007,967,676,624,462,002,613,104,894,581,402,
933,800,344,449,842,586,183,123,913,195,932,145,452,728,217,799,468,841,647,
958,782,296,207,267,913,513,247,292,899,591,389,113,367,809,532,650,584,577,
727,283,669,491,573,800,844,709,950,704,242,032,613,090,083,094,225,858,931,
431,938,624,931,620,292,728,059,513,847,411,452,463,875,051,930,395,357,412,
582,300,843,849,518,842,642,886,740,088,493,213,701,621,514,116,959,542,757,
388,903,694,077,100,456,770,297,446,556,945,820,377,124,215,630,654,728,564,
100,429,462,686,669,581,581,127,057,728,772,874,474,348,279,787,635,368,203,
020,257,053,552,158,103,062,178,263,639,087,238,487,524,805,700,832,048,294,
265,142,913,597,369,894,065,683,197,197,532,428,906,252,261,855,997,783,144,
203,104,448,236,462,968,506,487,266,612,943,532,425,599,179,049,925,083,368,
151,485,161,852,043,911,252,324,529,648,133,540,172,054,109,079,353,646,035,
240,290,954,004,184,911,653,278,799,659,821,858,992,766,960,509,050,653,012,
272,933,348,385,418,998,305,923,110,872,331,185,534,631,309,005,689,845,217,
842,664,141,941,810,176,908,167,722,389,787,912,896,035,590,755,839,075,216,
994,658,365,341,671,576,847,913,560,339,784,894,371,204,804,222,825,961,678,
056,402,905,117,048,505,599,081,775,763,770,610,377,523,150,353,132,344,229,
958,377,154,784,606,100,640,422,687,751,355,107,417,881,741,743,727,194,206,
979,805,222,325,839,072,536,844,858,825,387,498,016,453,892,682,501,919,685,
991,681,739,261,581,437,818,793,273,699,694,024,622,745,992,763,522,820,630,
422,293,227,468,980,239,056,051,522,486,014,956,332,278,576,689,193,444,633,
279,812,830,795,409,634,359,281,920,759,946,379,603,011,309,911,589,128,174,
654,259,931,019,884,554,456,272,093,636,518,710,367,956,695,698,189,937,051,
989,029,564,526,268,521,878,792,655,569,512,687,055,000,755,792,571,043,010,
511,922,871,824,638,957,994,009,496,389,319,778,485,591,416,515,956,346,014,
253,220,233,913,451,263,584,739,287,053,262,256,329,364,340,051,515,643,559,
095,170,513,749,788,475,958,010,229,896,033,613,840,693,728,226,782,954,459,
972,814,042,012,889,793,236,290,937,853,673,649,727,582,589,137,942,767,240,
063,212,152,676,887,310,840,300,971,300,034,410,565,244,864,429,590,386,241,
609,898,639,684,923,003,040,814,693,466,340,812,912,383,642,556,477,397,890,
544,674,835,333,178,226,570,219,390,580,190,033,480,767,955,250,330,981,191,
137,043,710,559,764,225,824,799,230,464,734,241,834,530,511,950,575,186,721,
506,259,587,230,984,650,503,217,244,515,217,371,909,031,158,905,621,290,816,
289,996,372,340,905,977,366,749,204,789,555,324,742,222,859,467,236,044,877,
586,952,312,431,914,368,774,407,327,419,094,388,171,651,823,049,239,645,137,
578,431,577,399,653,877,675,013,737,909,901,019,902,009,423,242,536,946,184,
535,866,812,496,980,345,527,663,889,352,301,920,872,825,500,998,636,673,163,
354,071,337,499,377,174,059,633,818,778,193,063,834,839,269,000,091,981,728,
641,650,199,075,339,537,460,033,870,104,313,669,291,985,229,562,905,551,507,
017,138,771,313,069,484,716,250,838,010,690,599,369,417,048,718,233,928,183,
648,274,177,512,163,340,738,567,043,091,235,395,340,400,045,196,301,997,784,
317,290,105,492,619,962,876,489,521,024,113,297,496,143,738,261,433,178,711,
129,259,473,473,414,626,392,271,354,560,091,370,303,347,959,284,880,800,765,
948,265,938,423,601,211,298,600,049,660,105,429,036,957,192,909,707,051,342,
106,750,639,284,425,899,921,589,959,068,684,821,813,683,163,509,107,974,067,
609,453,433,737,937,820,766,185,176,136,155,024,993,532,045,485,283,579,856,
354,067,181,867,358,376,839,940,683,518,827,330,144,773,696,548,730,306,968,
240,493,672,177,134,111,993,717,371,644,929,166,302,499,620,362,824,030,114,
613,635,259,234,207,162,062,079,831,307,693,851,820,096,270,266,365,305,007,
854,115,351,909,844,153,299,992,841,254,168,836,823,035,567,939,120,396,978,
229,289,041,117,391,234,730,644,367,235,691,594,779,746,290,567,557,315,275,
268,604,259,951,911,312,859,456,837,303,642,433,199,319,286,834,838,887,408,
515,125,050,857,484,101,188,347,257,825,403,725,239,523,903,845,842,891,638,
411,805,443,844,943,860,420,083,129,141,581,375,243,275,404,400,347,664,554,
372,588,751,747,757,735,452,683,427,309,278,367,580,827,766,612,372,046,095,
267,561,737,033,077,734,995,116,716,736,764,678,943,066,570,935,555,321,364,
859,968,888,399,917,533,874,811,518,391,450,390,401,582,215,762,414,115,125,
215,760,468,226,007,546,103,366,078,753,494,308,356,210,415,107,156,668,985,
159,849,050,729,719,050,921,542,862,592,782,663,812,115,401,508,578,206,220,
858,461,959,622,297,630,587,692,686,012,111,433,621,376,924,492,357,742,213,
059,447,871,745,875,062,056,517,484,108,822,195,130,945,598,127,588,714,044,
283,290,968,023,840,543,404,059,808,349,387,277,570,503,577,333,043,619,926,
925,117,400,546,983,129,012,234,378,132,725,938,163,984,255,274,162,046,820,
520,311,374,839,426,544,825,195,709,015,417,986,466,065,213,248,293,236,790,
814,561,967,225,762,000,994,049,041,136,443,691,322,397,502,043,674,692,373,
668,554,956,915,894,326,375,190,254,814,304,909,345,379,266,646,773,631,432,
358,021,785,209,935,696,962,948,392,808,997,209,622,621,410,576,691,545,361,
172,011,497,862,404,158,312,334,564,150,126,216,144,286,657,903,648,335,466,
034,759,889,534,553,285,797,723,443,637,651,112,463,740,002,599,464,670,370,
558,902,956,077,320,180,382,426,106,131,856,359,634,143,530,529,832,229,656,
900,753,903,521,536,962,518,443,423,649,710,183,735,399,775,988,613,674,140,
156,237,584,364,267,881,696,503,345,477,438,649,015,602,298,236,381,635,847,
115,481,574,547,274,900,412,794,662,303,295,222,393,312,681,702,024,343,296,
876,472,344,479,669,978,858,946,723,910,324,428,658,722,586,863,084,733,471,
153,915,958,015,948,682,795,614,405,623,902,609,244,706,979,545,172,060,767,
690,367,324,863,886,666,714,984,539,826,551,375,154,088,638,071,712,699,369,
198,874,116,891,099,084,072,333,640,492,307,440,246,344,555,781,542,853,323,
244,837,967,561,807,143,782,330,452,586,997,946,495,929,276,254,631,916,226,
857,511,672,198,399,180,161,828,258,257,615,690,676,899,502,831,339,797,389,
675,821,190,525,188,622,316,448,764,748,175,977,349,569,951,513,769,781,288,
871,696,241,986,253,424,703,655,475,296,733,220,845,996,210,181,372,004,740,
356,367,507,019,951,976,108,009,810,110,261,374,451,717,335,091,722,730,205,
511,057,543,308,374,773,023,947,595,598,338,036,885,971,831,824,492,540,064,
356,124,480,681,524,770,870,154,304,700,993,319,269,086,999,285,381,733,887,
521,613,416,400,287,021,639,381,392,986,497,240,240,924,673,046,348,610,558,
906,441,727,830,918,558,211,351,475,583,306,980,261,821,413,147,547,625,796,
927,194,473,353,495,389,592,590,734,912,666,080,568,841,545,279,813,603,423,
819,498,578,867,795,858,086,880,336,100,501,793,469,009,740,603,460,622,604,
631,911,165,500,341,163,305,174,652,182,221,186,373,042,005,668,142,918,474,
138,401,296,253,693,000,540,987,373,086,480,295,475,139,341,288,068,321,526,
405,275,295,578,225,930,078,005,723,285,829,802,423,746,811,668,927,329,215,
613,718,998,142,281,207,607,360,645,966,961,131,989,769,516,477,717,376,913,
922,203,097,807,260,024,698,690,707,979,706,631,066,639,950,397,801,039,832,
768,646,809,039,585,889,782,284,998,258,015,373,125,712,764,173,388,495,081,
969,579,092,982,477,751,446,663,193,308,956,650,403,068,091,006,978,259,473,
279,060,670,334,298,486,689,172,466,109,913,336,520,128,589,381,991,049,544,
421,717,307,478,622,544,254,945,819,942,937,288,630,079,045,381,521,529,206,
114,479,054,539,747,400,501,641,107,889,564,059,873,012,898,394,996,313,908,
871,297,542,299,639,048,713,679,171,204,544,488,811,318,838,593,285,853,607,
876,581,365,321,390,784,004,159,523,877,127,587,382,044,271,733,937,747,870,
205,720,477,766,904,297,818,153,046,282,550,117,858,949,418,666,381,516,907,
511,566,179,268,880,055,841,974,384,498,801,984,517,879,785,627,547,733,786,
886,039,668,148,119,948,836,066,384,165,292,601,551,715,418,985,158,935,339,
372,427,984,464,805,084,730,927,745,852,318,441,181,109,675,875,039,584,497,
141,082,544,663,312,593,529,585,978,449,288,337,353,049,018,839,501,889,005,
240,185,070,073,014,959,995,555,099,602,538,850,220,050,691,551,449,839,858,
001,430,956,090,592,499,028,523,081,521,636,090,449,006,733,737,904,817,989,
289,051,854,217,407,934,230,603,142,359,512,669,306,578,746,198,028,011,354,
759,856,408,541,691,118,600,028,970,694,616,303,701,925,869,582,431,795,417,
642,252,792,180,977,328,935,725,656,068,834,066,105,447,673,237,281,664,167,
986,636,934,782,234,105,107,160,333,461,874,348,062,889,566,361,830,034,657,
307,014,063,459,923,087,420,419,400,272,795,720,061,455,060,746,547,944,303,
097,778,659,864,733,801,358,207,915,842,674,841,723,673,978,678,549,279,213,
461,865,815,637,509,001,414,492,776,114,131,736,842,177,990,452,997,200,231,
064,924,115,741,726,864,861,111,157,864,959,511,739,781,003,090,119,122,780,
453,564,532,191,324,925,391,121,357,447,885,526,099,078,671,101,355,413,492,
839,841,009,931,005,645,107,779,318,064,107,411,113,654,926,359,828,576,860,
789,757,140,483,987,839,531,901,704,807,884,010,437,671,162,587,803,935,737,
691,363,589,605,229,446,235,497,543,773,979,490,246,314,330,765,961,754,399,
137,595,078,867,337,478,222,859,290,538,866,470,643,604,280,400,068,494,369,
756,117,102,870,945,407,825,701,319,454,720,834,502,283,010,674,712,649,581,
611,612,093,288,063,140,679,297,846,347,964,423,163,957,963,710,994,633,051,
179,609,501,863,682,530,912,225,859,655,907,843,563,485,880,937,091,716,333,
495,252,616,027,064,303,242,759,142,346,495,011,890,095,524,049,431,471,794,
084,452,198,199,452,126,422,867,019,035,837,839,735,932,594,008,322,672,863,
570,519,941,751,286,951,351,335,036,781,756,905,106,602,701,627,914,698,220,
485,425,308,880,708,292,095,952,603,693,385,540,176,144,820,129,181,278,746,
207,416,570,087,950,278,161,857,015,676,284,807,215,163,970,264,846,920,436,
127,017,638,345,319,196,109,170,735,066,743,625,732,499,820,161,985,816,204,
411,457,759,899,642,625,576,093,297,639,341,104,158,745,138,106,784,290,018,
913,836,981,641,628,682,239,619,135,687,315,625,076,889,163,564,071,089,146,
894,266,804,374,822,094,902,413,875,048,578,726,225,488,982,367,616,739,609,
246,853,250,947,840,632,190,330,453,461,525,776,253,494,372,253,336,246,368,
124,472,153,059,686,246,603,162,230,428,563,858,612,341,945,808,780,357,247,
760,944,868,109,834,797,984,574,017,152,560,883,137,789,208,041,244,315,863,
299,619,297,276,560,253,238,875,972,807,516,324,831,221,467,270,188,038,932,
342,007,037,490,073,878,630,229,747,330,121,303,248,146,048,502,924,313,766,
983,357,634,693,721,957,189,136,700,601,529,300,171,408,308,136,434,441,352,
455,611,443,281,071,948,768,430,793,822,076,941,560,521,715,718,854,388,700,
913,563,745,600,511,388,702,549,631,994,466,590,054,621,341,172,958,827,974,
803,964,078,226,532,388,720,175,370,717,996,145,673,929,488,714,421,609,398,
600,047,106,473,733,452,821,921,495,871,230,064,778,983,814,105,177,255,149,
823,244,372,572,088,964,317,179,793,855,656,784,258,884,441,982,551,119,639,
131,917,122,817,093,355,725,945,108,884,294,827,627,921,513,612,194,618,355,
358,569,767,989,513,632,050,592,369,132,077,668,575,041,607,803,815,549,498,
732,705,441,444,790,011,182,143,398,372,532,070,247,982,751,165,730,675,418,
456,865,033,035,925,418,639,618,797,774,548,628,459,391,627,809,049,719,387,
152,588,567,409,623,004,988,643,995,365,030,804,754,968,811,654,626,027,243,
765,047,546,646,156,112,294,845,261,100,211,009,310,720,479,572,997,655,028,
321,847,833,667,943,168,827,353,505,044,843,029,003,986,723,058,695,499,917,
565,238,413,055,484,768,519,021,499,917,205,074,995,856,814,591,789,057,669,
553,039,972,474,702,866,217,036,207,430,231,402,842,495,438,209,526,971,630,
073,551,333,689,742,735,189,916,035,130,021,498,450,348,475,612,105,409,122,
538,171,462,579,968,375,154,574,382,160,381,758,461,239,555,688,683,329,799,
684,448,191,374,648,869,778,977,273,062,642,992,798,205,929,578,652,746,175,
322,519,356,340,615,424,241,310,275,199,318,727,069,906,074,723,229,213,789,
737,059,334,481,085,796,277,107,806,822,932,475,296,922,948,785,808,767,206,
277,225,535,424,707,352,514,574,025,359,933,855,913,485,133,022,027,353,517,
151,755,137,218,881,296,471,451,110,115,430,951,701,859,537,669,020,551,740,
706,607,246,593,855,744,554,657,194,846,755,951,582,883,217,944,991,008,185,
246,028,127,793,491,124,799,933,866,206,492,126,796,946,202,354,581,788,736,
550,628,414,435,717,250,036,632,236,121,848,037,489,897,549,947,417,521,973,
223,292,406,979,202,637,371,585,173,493,714,902,349,978,438,234,545,527,188,
061,354,146,427,381,636,805,181,650,140,771,201,520,429,139,561,273,251,323,
438,065,041,503,388,231,942,025,415,674,817,257,829,925,000,502,742,480,758,
691,353,823,223,964,097,145,049,342,069,775,914,529,472,683,907,196,015,107,
614,477,746,558,505,161,342,895,448,609,630,897,322,671,139,600,534,380,040,
525,919,914,730,437,114,688,977,839,613,599,791,565,349,041,445,112,350,232,
521,824,794,472,174,798,454,185,968,159,587,206,015,937,292,753,729,623,817,
665,994,058,009,930,477,873,157,453,547,711,987,143,295,391,967,192,602,148,
555,692,269,518,923,161,366,160,494,605,795,742,094,766,288,599,047,984,917,
150,119,531,597,852,394,463,216,335,807,454,760,120,075,123,699,103,502,110,
398,181,602,467,995,603,824,668,882,918,548,535,872,642,643,658,629,063,163,
646,443,895,070,281,462,554,337,061,667,308,013,726,813,335,356,005,759,596,
270,942,861,793,196,520,906,656,001,848,166,072,571,907,630,063,967,303,472,
328,397,700,384,489,337,484,181,822,429,768,539,905,468,666,278,774,486,640,
071,236,171,214,526,237,325,040,430,099,213,888,309,565,615,185,675,037,704,
340,420,872,333,722,262,040,083,855,594,897,646,944,049,963,599,057,742,913,
274,650,723,824,620,978,358,915,542,021,486,670,502,432,350,380,226,180,029,
678,132,877,493,058,649,505,799,867,479,143,244,604,822,337,212,393,800,773,
222,055,879,404,578,397,577,445,498,574,972,810,482,231,092,023,034,560,353,
820,830,065,274,999,199,753,994,598,846,863,775,443,147,266,864,587,157,418,
289,714,664,617,510,855,664,327,264,714,362,543,663,401,872,445,099,736,762,
151,353,654,797,974,029,524,858,540,987,407,215,934,632,652,576,086,433,007,
060,733,828,772,947,567,670,896,107,225,591,405,117,319,270,197,029,389,058,
038,737,857,991,563,082,185,253,834,633,086,017,001,640,261,858,773,024,711,
168,854,157,593,928,218,089,914,816,480,464,540,149,787,993,273,209,928,125,
829,502,573,815,916,135,991,834,690,296,050,170,910,138,788,628,150,042,404,
409,752,433,074,944,469,778,168,346,972,309,465,260,849,304,484,411,184,868,
270,715,817,898,933,400,800,965,618,254,718,380,192,738,639,950,529,818,812,
220,051,961,852,021,795,244,417,916,895,143,313,154,601,181,289,253,690,516,
553,130,272,559,658,492,122,723,498,880,646,588,467,880,715,099,930,115,505,
907,634,478,693,576,346,215,364,713,698,501,576,330,195,614,532,301,891,347,
198,167,465,278,627,243,931,277,160,094,222,909,302,328,775,261,581,401,584,
672,960,956,984,329,312,544,951,300,005,886,489,441,537,748,516,933,021,310,
786,017,129,913,126,868,792,851,867,199,623,153,175,626,833,171,998,729,269,
473,836,595,993,573,060,692,977,253,775,206,763,351,267,212,052,297,416,437,
226,791,524,151,095,621,733,854,574,905,924,415,622,091,738,914,539,292,063,
734,837,476,164,315,617,615,513,825,981,807,327,329,543,567,804,086,342,107,
304,557,213,542,612,980,380,343,959,184,306,252,082,004,360,832,161,306,806,
498,841,292,570,713,441,995,184,927,281,990,601,818,150,042,149,224,262,355,
975,040,799,947,975,141,772,919,274,907,802,167,994,649,916,083,233,094,922,
161,152,119,590,961,908,219,758,162,868,350,008,182,271,732,641,813,621,643,
761,862,430,758,622,424,724,210,299,645,232,260,431,055,724,233,086,308,166,
525,620,773,907,937,716,017,771,740,531,667,279,702,678,574,437,751,257,681,
999,034,964,886,248,464,661,689,279,022,933,617,666,057,624,889,716,577,307,
222,343,417,901,290,094,714,029,738,059,295,975,962,980,356,813,625,776,324,
626,768,970,877,541,383,101,350,695,490,595,198,358,414,825,063,519,337,127,
042,069,456,311,060,922,965,483,705,338,374,607,916,661,582,356,370,709,261,
759,663,892,105,525,978,016,951,568,900,143,414,039,048,871,506,050,891,822,
034,638,961,399,023,092,553,184,115,778,253,443,353,991,596,456,895,487,083,
070,559,624,732,306,816,979,912,157,015,236,068,610,970,151,505,880,861,394,
727,172,172,984,988,047,074,348,855,527,747,993,895,044,847,131,035,458,719,
863,104,225,989,565,901,771,263,606,056,025,133,446,843,007,179,739,239,984,
058,801,425,349,812,078,221,991,449,011,956,279,421,824,731,674,983,112,390,
973,431,964,534,429,082,647,111,358,087,062,467,126,837,504,023,778,388,967,
090,148,195,225,245,866,095,940,973,598,055,448,098,409,772,846,969,462,804,
719,593,885,794,119,380,910,092,946,280,636,392,647,086,151,310,201,871,408,
547,283,341,617,705,091,311,378,694,919,507,153,174,575,819,902,075,761,216,
299,250,799,263,874,147,574,150,987,039,588,090,446,014,635,201,097,805,085,
703,618,772,994,904,882,040,372,502,102,432,445,255,427,483,039,522,804,465,
680,747,887,882,862,469,023,433,735,904,691,972,329,354,331,627,773,545,509,
571,997,797,048,982,707,984,122,523,730,471,171,987,682,777,385,739,379,417,
205,626,316,760,649,896,679,174,714,062,228,793,458,994,661,174,781,863,947,
510,145,323,138,751,551,476,373,676,770,159,298,271,559,980,231,911,624,476,
835,398,589,316,836,083,132,253,019,420,392,219,832,886,755,445,988,427,502,
507,622,890,343,547,624,443,953,145,793,881,134,614,995,227,518,811,117,698,
461,899,365,255,900,416,880,292,601,875,784,400,008,669,021,761,578,420,144,
781,559,206,535,330,795,373,130,018,801,451,945,720,796,418,597,534,019,954,
857,781,228,571,235,783,137,363,460,785,893,164,048,977,594,124,981,614,140,
854,402,218,186,530,439,045,621,914,857,630,761,140,066,212,710,382,765,989,
350,831,538,944,542,529,608,389,569,185,625,510,493,059,582,467,519,389,939,
121,117,398,995,034,400,051,753,369,657,499,618,931,001,771,252,180,308,729,
596,248,040,379,964,843,840,579,733,479,277,787,295,684,969,176,190,190,382,
523,706,562,214,215,011,930,137,671,987,249,078,858,898,979,516,350,783,393,
959,880,168,096,456,467,620,764,146,052,260,118,716,451,509,270,335,329,620,
247,203,838,355,508,679,124,217,368,328,256,000,218,165,145,078,890,727,727,
052,510,073,698,711,974,683,601,888,035,688,248,242,058,537,161,109,793,516,
869,584,230,345,813,767,068,505,553,891,452,742,835,219,473,353,612,935,627,
669,814,895,586,531,443,936,736,805,521,095,497,953,561,542,604,333,926,798,
044,183,869,034,279,184,923,483,726,630,516,376,061,232,229,895,459,572,796,
561,549,625,618,629,791,733,549,825,228,916,536,797,070,430,562,592,902,950,
489,773,260,659,833,811,466,281,925,860,774,661,269,164,228,266,436,115,912,
368,377,562,628,156,970,812,635,747,313,408,362,515,722,208,740,485,173,778,
373,211,443,815,340,959,049,142,443,214,896,230,170,177,838,438,644,025,942,
237,292,756,346,503,174,254,566,301,460,166,205,181,694,932,853,681,558,869,
403,676,034,030,205,440,370,727,380,622,037,295,530,665,889,567,850,168,644,
663,386,936,107,463,357,861,916,932,308,181,880,583,049,793,890,618,485,125,
769,201,087,466,760,818,345,705,980,154,100,083,297,036,443,719,414,356,776,
637,732,530,083,625,950,660,689,107,582,252,633,970,691,758,054,694,387,828,
880,977,448,738,587,716,547,950,597,473,127,487,583,499,441,342,309,899,956,
934,663,542,967,332,230,976,231,963,797,936,090,585,898,759,069,868,548,631,
500,188,503,894,037,837,368,468,217,403,984,230,692,166,595,090,250,808,594,
526,849,580,464,795,470,905,955,278,367,205,032,175,968,521,269,727,008,072,
492,168,203,004,340,581,319,171,387,597,200,067,207,308,164,648,016,150,377,
935,817,176,395,212,116,214,446,247,234,023,350,032,216,597,657,875,781,360,
133,323,655,569,715,133,082,364,760,492,159,494,036,519,704,181,651,394,932,
950,363,953,226,506,100,258,184,576,028,471,882,403,250,604,189,875,721,893,
416,472,080,837,065,170,408,956,248,096,080,672,387,460,779,997,030,919,870,
370,602,691,611,942,230,512,662,047,441,258,670,408,185,603,338,591,201,286,
514,384,107,346,603,012,370,205,792,920,735,804,299,070,947,348,986,915,457,
764,052,262,162,801,410,093,770,132,184,712,954,700,648,922,783,898,998,216,
130,755,510,544,410,308,423,287,065,329,301,472,978,955,641,047,689,771,977,
792,674,688,359,511,117,543,689,274,461,603,394,687,120,755,285,528,943,700,
551,648,467,855,279,913,897,852,951,914,588,406,687,495,576,770,805,046,365,
328,194,101,331,132,935,958,733,588,805,681,590,545,140,999,466,846,002,106,
870,531,256,403,174,024,545,295,712,696,684,948,928,729,679,440,950,771,217,
856,127,135,211,921,779,970,537,486,139,086,466,122,303,797,129,094,611,855,
958,925,586,329,386,497,211,989,618,826,584,523,703,262,323,636,797,397,531,
048,070,585,830,092,596,048,487,940,018,585,299,129,614,643,755,078,429,973,
872,536,268,451,773,732,754,467,226,207,284,901,179,653,899,897,949,129,894,
624,804,610,171,951,779,500,983,008,675,807,206,097,418,464,537,752,817,956,
278,877,175,865,669,050,556,073,320,792,476,629,314,321,902,830,549,885,066,
127,056,379,446,442,558,159,680,412,409,144,023,822,149,794,982,764,213,369,
498,218,559,967,722,391,471,896,098,474,283,843,579,375,521,794,359,753,181,
797,577,996,702,474,120,782,665,742,786,830,766,069,863,134,139,134,658,823,
992,934,934,309,670,675,275,169,185,282,680,002,529,370,226,011,591,050,221,
844,096,153,936,199,359,963,906,257,048,920,035,352,862,410,668,154,050,488,
565,686,549,498,980,619,024,041,026,546,703,408,109,623,403,925,626,542,323,
517,035,943,736,510,038,583,045,200,797,816,269,453,188,129,360,951,908,911,
874,716,250,277,022,811,682,771,324,041,822,843,025,251,470,178,939,194,243,
587,938,769,300,628,576,892,897,159,508,991,888,827,262,155,746,629,036,570,
013,569,599,100,496,397,308,608,686,904,148,526,386,752,863,771,090,087,057,
647,409,759,660,521,161,146,007,438,899,281,930,413,534,008,255,551,468,342,
771,843,462,740,395,744,144,485,351,666,729,598,812,615,406,082,596,584,499,
329,541,217,163,554,121,369,458,571,093,375,725,274,867,033,916,194,162,598,
779,678,239,391,193,503,690,855,919,059,486,176,300,644,999,852,165,703,127,
044,380,186,758,453,571,007,729,803,680,791,651,532,162,789,693,984,758,602,
982,382,700,745,413,419,993,073,007,507,008,429,234,089,292,789,986,652,697,
682,200,090,511,500,418,494,696,786,571,154,737,534,968,695,160,612,801,821,
506,719,120,305,813,127,931,519,129,522,306,264,078,583,612,107,676,807,185,
847,901,866,448,643,263,664,934,946,111,212,082,435,146,945,655,035,901,348,
457,712,921,466,770,157,873,564,555,557,782,698,619,614,385,792,241,493,831,
271,369,450,974,969,417,319,682,314,950,894,271,961,563,959,167,771,139,933,
381,338,231,966,688,316,818,455,554,333,917,152,848,616,807,756,818,577,230,
705,600,645,912,511,759,124,562,380,926,092,814,208,663,590,118,044,761,459,
884,297,782,941,575,356,141,831,484,901,161,171,104,768,278,701,446,676,659,
355,245,125,896,753,516,317,300,263,873,336,290,254,329,564,590,778,510,322,
226,128,587,395,096,221,093,445,702,569,329,830,819,854,580,540,037,791,331,
277,565,319,721,699,589,165,230,423,958,124,117,243,473,105,382,615,855,901,
271,027,604,926,322,181,496,688,410,282,011,590,686,838,363,151,596,998,126,
549,336,774,302,628,954,644,916,643,471,404,490,524,273,644,090,892,338,409,
068,584,791,467,835,638,033,307,690,808,074,882,492,897,793,650,083,292,581,
228,375,012,420,815,287,721,891,795,208,727,893,017,477,237,187,387,828,437,
597,549,282,150,525,124,548,245,223,067,985,363,902,934,220,459,436,581,790,
409,057,299,542,163,048,131,202,004,706,433,438,736,350,067,859,137,770,392,
321,167,853,625,456,200,708,862,310,962,685,815,557,130,179,474,891,453,532,
597,633,827,651,008,381,273,289,322,480,512,968,735,491,055,487,571,184,928,
793,111,670,028,137,908,838,883,838,931,879,803,189,165,564,592,780,660,432,
113,604,959,816,573,909,391,717,928,868,340,400,369,371,764,400,732,386,501,
578,827,912,362,246,471,031,597,425,260,660,806,262,378,061,116,643,326,638,
688,825,071,971,272,714,341,581,979,043,246,259,993,148,492,545,468,174,269,
855,215,464,091,806,015,857,969,014,990,817,910,821,404,109,801,689,469,956,
357,199,659,259,371,904,313,120,794,994,907,735,625,028,344,647,023,479,741,
738,081,359,697,181,231,030,459,591,873,708,257,474,050,522,599,550,607,100,
912,750,357,576,842,791,451,777,704,375,080,612,502,279,561,985,445,651,624,
403,585,773,278,161,053,948,470,657,669,546,026,241,496,501,148,819,941,816,
279,517,169,092,817,976,687,854,145,822,291,352,526,279,758,390,442,617,857,
910,046,469,606,090,278,952,603,633,916,081,942,009,207,116,736,888,809,452,
663,189,141,596,701,398,092,218,088,695,216,676,340,197,980,569,524,655,237,
001,721,315,043,391,719,389,662,961,383,807,774,311,063,290,254,607,898,636,
642,537,393,407,511,883,434,937,953,945,102,468,148,764,838,019,590,720,088,
410,616,104,489,975,535,836,015,818,512,504,050,869,282,393,966,830,672,709,
756,156,141,446,917,539,673,686,641,342,353,340,042,503,516,727,085,656,248,
190,645,559,126,638,337,484,577,381,837,851,265,972,703,538,944,817,895,156,
410,378,030,128,813,961,863,030,207,494,893,942,215,269,271,545,949,387,797,
830,885,657,399,950,602,224,106,055,094,263,675,396,723,309,286,574,460,401,
430,104,838,943,088,834,487,108,288,625,474,008,113,123,229,889,701,360,503,
142,877,357,012,765,273,618,626,014,674,048,440,007,724,243,703,650,960,836,
982,784,975,645,237,119,071,526,384,011,701,309,582,936,411,666,588,860,189,
715,241,258,845,008,307,583,445,710,650,930,714,451,913,209,414,491,920,694,
840,838,526,126,154,678,269,902,759,500,380,913,130,037,543,617,881,861,047,
505,168,291,046,623,247,764,764,523,506,437,666,562,477,247,798,357,571,542,
921,348,810,358,663,844,495,381,274,108,591,035,376,387,324,414,334,937,639,
687,366,596,152,643,862,077,087,395,857,506,071,931,493,540,550,882,574,646,
965,170,183,979,616,605,128,187,345,016,997,924,093,767,463,639,128,418,163,
332,416,485,626,241,197,698,251,644,696,603,921,763,301,950,544,753,810,232,
045,354,695,370,679,486,980,565,422,902,308,986,216,345,349,174,592,811,162,
160,151,148,398,494,326,071,929,274,020,222,303,204,997,688,822,544,698,477,
254,128,586,213,312,397,765,854,447,707,857,953,776,342,594,703,915,559,718,
193,033,102,712,205,902,570,075,560,223,650,486,113,260,490,867,820,885,286,
579,269,589,276,306,542,469,680,242,763,433,763,481,995,959,102,374,945,581,
671,698,349,542,673,351,754,849,859,404,575,913,471,782,668,721,946,965,267,
548,908,662,085,933,735,210,552,808,446,172,202,857,867,373,336,088,231,168,
194,007,521,189,508,904,936,153,194,193,253,927,669,246,230,189,613,486,700,
576,117,183,824,686,847,942,873,849,136,751,262,201,402,547,302,735,015,652,
948,021,285,618,939,556,929,197,385,358,037,876,106,121,611,703,261,409,030,
511,937,500,070,227,885,150,172,442,592,468,670,315,799,809,592,704,643,867,
278,577,921,163,427,547,311,261,363,848,677,107,435,737,870,814,087,329,792,
985,983,542,531,433,670,039,828,668,562,612,196,911,766,085,916,824,657,780,
024,777,533,332,062,769,634,669,417,451,564,158,285,881,353,070,261,767,883,
051,178,402,442,184,681,495,354,189,047,379,110,938,543,654,041,039,591,296,
959,667,987,607,574,159,855,243,934,526,552,429,012,821,059,041,584,947,556,
736,060,185,690,085,922,222,710,718,887,374,448,129,382,894,714,568,263,183,
768,719,735,799,006,529,138,849,850,208,666,314,263,608,418,784,022,045,072,
659,248,601,594,339,807,765,984,960,968,256,890,591,406,312,120,266,139,239,
881,158,514,323,890,345,885,916,897,500,691,130,801,574,516,756,927,608,281,
957,655,548,912,181,361,557,828,062,978,653,025,100,238,729,151,586,802,115,
920,364,052,117,554,384,149,965,966,533,855,140,415,020,878,126,991,730,421,
974,838,064,065,011,950,184,833,659,268,165,701,377,159,591,181,763,073,799,
491,323,247,686,476,437,532,624,859,814,985,099,867,112,716,935,223,595,495,
998,331,179,898,774,354,162,340,231,888,747,464,050,010,402,236,608,277,828,
141,069,278,786,883,395,462,088,989,448,837,245,439,283,300,184,615,571,313,
259,467,475,327,593,241,297,877,482,650,901,353,174,166,001,082,999,148,730,
322,628,773,558,752,527,841,833,432,039,362,908,852,366,836,505,108,919,131,
403,116,184,022,119,447,278,660,549,685,004,846,232,227,279,411,875,781,479,
354,323,577,394,633,448,772,431,904,867,246,999,127,701,977,730,178,172,971,
679,686,654,958,096,298,766,065,375,032,017,436,767,446,333,236,006,793,840,
787,126,911,248,427,827,096,508,474,490,334,309,557,666,269,814,278,989,750,
699,481,040,460,879,570,058,222,360,676,083,045,868,739,208,633,992,395,132,
589,277,510,236,179,091,836,363,432,775,317,952,833,525,215,777,617,133,660,
501,433,999,370,917,954,904,613,394,318,453,433,558,198,978,515,364,835,884,
144,584,136,632,301,975,611,614,585,455,698,704,630,628,775,322,703,411,284,
354,766,463,485,132,973,577,786,094,422,055,596,011,742,693,725,234,741,996,
635,748,765,307,241,905,744,217,741,938,264,329,721,189,693,607,266,197,517,
172,236,820,219,169,969,508,767,843,436,298,182,115,113,915,615,793,588,721,
648,311,095,891,277,592,275,610,644,483,452,464,386,656,305,131,137,383,748,
442,676,563,317,590,899,762,583,474,603,055,284,563,223,462,145,300,251,850,
712,468,937,176,638,406,906,195,310,084,130,429,894,649,538,681,070,796,273,
889,756,928,857,946,598,171,461,773,065,651,623,896,564,022,730,491,866,913,
683,707,875,801,130,900,132,458,068,560,261,663,116,150,410,441,089,729,848,
384,626,061,423,404,890,609,746,475,212,688,215,193,595,778,564,672,745,436,
895,235,252,876,541,691,445,230,499,582,368,864,887,175,577,926,503,680,750,
584,236,007,647,544,312,130,003,105,215,096,992,978,801,212,779,810,006,359,
456,384,637,347,494,310,875,396,812,144,380,569,415,216,226,609,521,530,563,
590,998,569,967,019,813,984,987,317,320,319,586,847,961,518,651,566,563,718,
844,744,272,132,622,302,048,263,582,823,864,750,346,701,734,678,982,079,942,
935,184,088,331,179,079,746,444,448,881,243,180,806,939,860,383,149,298,428,
875,263,526,222,052,137,558,681,287,157,743,603,366,643,648,338,321,619,534,
176,966,014,800,392,648,273,270,084,217,123,604,677,516,742,050,910,347,641,
961,563,840,465,345,431,218,421,896,986,442,238,520,072,006,045,265,996,996,
494,023,875,326,808,108,994,896,626,516,551,672,267,301,043,787,819,674,925,
511,476,622,329,117,844,827,403,835,887,654,095,066,376,075,907,748,649,086,
100,840,802,464,526,297,695,459,314,406,528,533,601,682,836,318,587,171,677,
571,791,713,609,386,620,001,376,149,174,177,080,982,589,998,860,375,570,088,
648,632,217,712,479,350,662,382,146,480,155,299,099,349,766,522,933,020,098,
382,716,100,350,913,345,054,146,822,206,811,894,718,304,327,650,347,416,253,
131,185,521,724,194,561,539,628,555,096,737,665,673,145,090,287,914,772,419,
434,936,659,146,848,460,699,060,447,393,339,722,860,485,528,857,146,801,470,
472,876,363,513,796,769,868,776,278,615,210,951,373,273,651,330,145,569,367,
829,184,724,854,244,863,010,936,031,635,237,280,245,742,059,037,739,127,730,
661,596,350,129,067,522,019,212,483,597,674,303,935,170,311,323,014,620,492,
588,580,883,028,025,586,678,339,327,219,806,816,348,041,897,026,445,431,576,
048,234,730,361,503,500,611,821,323,292,718,187,279,808,828,813,352,435,559,
961,331,265,356,657,427,270,944,255,757,341,243,335,241,143,496,947,307,081,
447,753,415,091,887,697,485,397,577,304,981,682,191,366,347,813,238,209,802,
337,881,049,574,766,058,573,391,705,547,079,528,016,470,816,887,667,024,330,
102,440,905,942,009,886,201,600,415,591,174,316,236,790,859,611,341,062,074,
954,121,697,664,926,855,623,816,758,562,528,511,479,003,609,300,547,733,251,
796,008,999,775,928,539,498,293,899,505,556,033,485,772,214,337,772,999,522,
408,531,768,948,454,470,691,773,291,000,249,677,336,749,184,061,244,692,916,
368,635,218,195,770,290,535,357,607,977,295,513,156,341,333,766,469,636,801,
604,391,123,556,321,447,254,895,975,261,902,841,288,182,835,495,980,724,751,
900,400,004,880,643,818,975,564,578,668,322,233,861,597,141,412,805,020,512,
391,751,695,759,312,266,611,662,759,919,667,684,956,714,841,235,409,566,627,
417,766,417,538,254,993,232,186,391,768,948,428,773,568,697,324,620,414,449,
322,826,655,383,173,896,290,244,969,275,611,993,411,029,000,884,397,636,006,
011,864,750,413,021,039,242,792,172,664,414,962,416,028,961,489,937,577,973,
532,656,601,282,451,674,462,084,116,802,291,550,490,552,708,470,144,574,194,
471,178,743,177,330,478,754,541,198,001,949,590,462,270,750,932,650,848,263,
416,995,550,857,631,958,719,204,464,106,327,950,432,842,138,141,639,957,089,
563,316,400,407,650,691,594,238,988,413,741,602,936,097,251,085,152,752,524,
032,329,567,684,849,058,696,950,214,404,244,997,918,184,578,717,702,332,974,
348,399,709,206,158,184,070,431,563,882,197,777,183,410,707,513,714,864,795,
271,778,501,397,281,535,133,629,843,351,805,590,120,389,702,625,844,336,540,
330,402,288,333,159,886,833,269,580,370,228,123,823,803,618,054,738,359,355,
141,589,733,123,200,355,374,203,271,214,753,775,695,683,228,621,529,369,892,
777,564,090,300,809,410,748,239,693,180,285,402,360,587,920,496,732,270,654,
048,144,860,890,880,485,203,255,206,698,161,572,344,564,146,855,685,356,842,
130,226,672,860,938,322,842,636,893,134,605,951,319,045,252,963,833,924,076,
894,402,820,235,395,633,045,541,568,233,523,333,391,568,250,528,842,093,688,
419,435,318,543,665,300,841,854,656,375,076,798,220,141,390,063,464,601,203,
066,139,585,990,379,593,495,856,410,467,815,640,612,008,932,896,852,354,422,
260,250,982,443,364,724,846,027,478,352,350,910,874,673,389,286,203,534,400,
270,051,488,813,850,789,533,877,766,214,257,757,869,788,269,979,563,370,355,
226,264,398,576,605,568,889,686,524,578,474,040,255,705,005,070,254,407,921,
970,715,559,762,260,598,467,134,446,485,123,611,784,848,256,380,724,674,450,
638,018,904,125,460,078,686,492,793,373,843,841,435,825,358,345,099,105,800,
898,126,416,834,678,423,466,167,188,481,195,798,337,122,650,924,574,699,177,
956,431,029,135,503,639,556,933,380,952,307,302,003,173,901,461,153,309,123,
607,103,200,868,512,169,982,844,003,553,732,930,673,784,110,497,463,499,911,
795,592,582,355,325,488,761,972,841,544,035,489,926,172,477,399,349,487,085,
799,783,170,089,798,079,738,297,746,695,121,792,703,435,549,566,232,576,120,
534,796,869,629,593,661,534,115,952,985,634,729,313,106,904,568,379,282,407,
433,290,387,418,756,962,958,379,574,238,708,868,003,991,669,073,932,105,671,
514,067,444,736,721,797,843,660,896,768,410,500,615,122,103,653,618,177,444,
641,597,657,773,171,380,979,112,622,773,143,256,748,235,840,345,032,228,598,
130,014,763,455,763,490,766,380,996,610,509,928,877,337,984,515,601,219,969,
347,543,920,596,123,681,894,145,875,497,338,716,805,284,165,536,814,133,602,
386,629,355,301,308,187,153,887,012,788,883,769,760,990,047,046,417,988,373,
661,940,136,481,536,923,096,895,090,478,189,443,535,425,288,428,972,320,339,
245,517,350,520,908,066,976,602,535,306,210,221,970,924,695,288,053,497,945,
215,388,844,199,407,696,228,320,044,093,662,905,515,573,179,923,832,761,508,
851,214,839,345,225,521,256,251,864,511,037,198,983,389,286,223,970,595,854,
744,284,701,357,222,368,329,566,143,853,618,003,071,260,864,713,198,654,976,
420,050,037,923,824,037,786,677,622,056,313,174,916,178,808,725,904,012,267,
419,025,480,902,777,997,851,551,681,113,608,860,296,762,994,303,195,591,961,
130,738,876,938,526,082,598,663,592,364,695,434,889,598,765,757,453,906,191,
404,596,664,572,750,803,900,248,486,761,714,290,587,741,606,334,828,715,829,
644,893,018,099,008,547,607,160,558,874,066,703,467,290,610,851,811,003,493,
136,754,301,354,006,050,431,782,342,683,554,161,627,506,461,457,330,672,045,
677,170,897,879,021,897,294,108,868,634,274,902,514,449,870,738,841,170,597,
666,303,230,443,021,104,121,778,147,875,146,076,489,727,517,963,679,585,334,
577,603,499,833,467,908,613,306,302,806,969,411,361,852,425,539,204,872,656,
196,969,332,616,852,464,345,656,843,524,538,244,562,076,119,262,625,798,283,
886,016,423,348,458,447,829,873,562,386,245,766,855,060,848,795,401,305,265,
515,586,569,075,370,625,752,390,051,392,623,680,479,925,341,672,656,314,015,
551,677,172,330,846,001,013,013,185,974,212,855,251,932,278,909,480,514,954,
607,315,289,902,571,654,784,477,085,994,712,483,350,005,022,843,882,169,148,
825,726,730,176,543,825,128,811,280,209,369,169,240,027,889,589,958,119,049,
150,462,649,964,301,698,427,663,318,539,115,825,929,404,144,794,632,002,597,
064,635,203,738,936,862,030,522,987,582,471,603,087,768,531,078,411,033,648,
869,444,044,104,804,346,450,804,254,110,281,598,582,156,270,605,607,021,045,
650,620,735,988,086,430,623,280,063,678,814,505,495,824,093,565,774,331,028,
890,800,802,817,638,751,920,968,321,669,820,671,553,996,524,264,685,090,224,
569,822,034,258,159,997,907,321,106,819,622,917,652,098,272,243,444,750,707,
020,444,564,857,471,968,604,198,898,495,036,597,259,257,742,276,542,072,714,
529,808,811,860,820,093,014,150,964,258,705,902,866,592,253,470,522,845,952,
331,830,789,227,207,668,833,428,062,413,954,821,461,754,611,764,123,133,134,
037,557,681,980,118,127,409,887,131,225,789,858,573,098,519,404,333,238,700,
526,623,089,045,222,024,453,684,073,179,204,489,392,196,560,646,116,944,271,
047,431,188,980,609,434,795,355,849,858,918,046,105,698,711,413,032,501,033,
915,243,092,513,800,773,119,515,980,831,900,830,526,787,962,445,111,802,599,
542,167,336,787,085,795,535,362,942,897,354,951,933,712,820,624,469,719,744,
177,855,845,922,989,886,030,264,814,862,415,765,198,195,513,984,646,365,833,
486,147,381,029,716,290,909,568,833,461,129,635,813,320,659,436,008,123,855,
753,898,078,400,452,162,182,785,838,772,327,836,658,516,558,948,146,024,811,
501,799,102,280,973,620,240,275,515,844,936,638,965,048,111,906,507,161,429,
673,836,660,891,232,619,766,645,294,364,383,683,055,889,761,949,962,438,676,
175,016,538,998,762,146,840,558,015,870,380,589,716,050,010,837,659,723,189,
573,588,070,162,128,413,640,117,594,963,129,854,652,300,864,731,105,186,675,
690,825,189,882,337,162,045,046,324,763,837,601,778,742,445,387,231,829,694,
990,954,845,751,964,675,226,845,991,680,769,727,343,026,419,705,221,495,549,
397,582,821,663,241,365,530,970,911,174,587,696,050,297,574,553,596,667,623,
470,570,512,306,505,495,149,844,822,703,313,361,342,764,684,152,977,278,160,
960,884,577,785,652,246,401,686,771,312,869,504,910,684,367,324,042,692,406,
495,248,807,175,497,884,404,682,134,550,664,958,189,396,034,638,599,937,389,
888,919,099,261,410,549,574,074,651,034,788,291,909,219,783,696,753,941,839,
627,583,744,052,492,238,228,403,215,955,213,362,386,985,168,947,851,448,227,
655,436,283,382,691,281,671,026,114,571,317,953,433,211,718,739,385,463,219,
954,423,129,302,559,865,268,624,933,951,603,893,383,413,307,943,001,367,934,
679,699,035,636,126,234,815,604,711,780,183,647,024,733,858,852,548,586,181,
115,606,844,016,370,340,520,622,789,069,358,492,190,846,376,229,814,274,522,
938,591,031,952,603,421,095,717,068,007,526,100,808,286,154,182,326,775,220,
727,430,040,458,722,657,857,042,542,137,676,349,087,102,958,460,539,124,807,
905,360,735,800,887,560,568,910,969,845,572,760,453,772,255,224,166,368,566,
972,202,287,429,497,988,530,591,684,632,550,805,773,761,560,860,869,736,966,
938,876,139,743,726,805,088,744,253,035,341,332,623,111,147,113,289,446,965,
940,084,046,871,427,374,860,601,636,944,450,777,959,547,255,342,597,643,858,
977,444,039,881,456,413,952,621,341,791,562,367,408,259,642,961,295,315,775,
073,432,751,586,183,007,638,954,535,454,114,823,917,487,206,969,154,103,802,
458,598,313,643,642,103,790,522,186,912,810,887,690,286,147,427,062,946,559,
897,704,779,301,554,127,557,565,019,122,121,606,818,647,303,488,403,070,554,
709,578,089,156,954,295,162,794,104,253,463,280,988,248,382,613,502,483,338,
006,280,230,851,105,106,643,527,924,696,406,672,761,954,895,278,767,103,746,
010,485,081,641,167,584,692,925,027,408,064,907,505,925,873,354,476,279,211,
771,325,175,136,841,129,630,085,466,530,202,078,463,772,370,925,765,939,233,
137,049,429,540,416,810,674,464,527,793,831,117,935,117,105,524,020,282,900,
193,459,484,890,730,511,185,029,562,620,188,374,365,090,776,774,374,013,498,
094,419,238,395,142,017,710,595,140,897,792,171,965,354,994,544,615,280,554,
966,151,371,217,084,563,813,818,698,713,876,030,097,742,188,013,418,604,776,
668,859,784,641,316,988,295,996,012,493,597,593,694,453,727,925,096,802,804,
713,411,117,283,091,266,407,536,030,453,211,896,413,843,931,611,854,253,709,
509,042,143,466,714,319,579,673,814,395,384,084,404,910,543,319,037,523,080,
329,293,898,876,555,529,785,692,688,966,003,391,149,768,725,998,474,904,130,
139,289,968,537,929,197,664,833,546,377,989,169,844,552,225,013,098,627,262,
126,181,083,096,930,538,661,308,029,736,485,329,386,859,084,224,192,509,723,
328,353,851,095,460,865,399,537,379,642,865,557,162,069,658,847,418,166,067,
153,161,822,548,591,660,688,745,879,271,719,779,021,258,289,297,675,520,895,
488,067,700,302,523,830,500,969,912,674,124,362,674,311,685,197,043,366,992,
402,618,586,957,704,363,897,068,953,549,879,150,782,587,077,116,793,123,321,
997,495,371,825,026,484,570,896,770,301,127,753,243,301,446,899,969,013,408,
542,425,052,866,251,667,577,510,585,401,175,161,231,493,286,526,126,836,898,
057,046,764,355,492,013,283,695,794,073,858,736,548,055,512,620,554,886,067,
766,135,688,733,227,908,297,410,974,043,391,813,356,056,449,163,293,520,598,
086,128,534,168,610,731,292,622,820,944,093,636,834,707,774,699,218,384,457,
584,715,829,227,593,696,753,262,501,156,887,710,362,728,235,132,218,925,368,
020,903,476,485,178,263,313,352,968,566,725,366,882,343,789,816,661,032,367,
701,955,563,797,016,851,416,613,459,595,985,790,244,324,580,586,015,410,495,
418,309,898,754,642,157,302,919,961,955,396,494,220,509,749,343,223,443,653,
233,198,803,248,164,426,503,869,207,319,882,106,004,183,930,838,773,642,163,
524,001,100,716,870,111,366,882,194,997,863,468,163,120,837,218,060,025,102,
719,897,483,088,148,171,031,801,732,942,140,510,732,254,208,965,415,343,801,
088,730,946,969,468,981,305,153,975,075,386,573,595,519,099,286,322,797,088,
099,345,129,743,515,121,574,097,892,820,554,293,927,809,287,399,072,668,960,
507,269,774,781,132,871,581,737,277,454,762,502,773,601,264,527,446,143,734,
837,006,749,671,510,666,930,064,456,843,187,912,901,575,632,964,028,596,938,
024,780,274,088,005,593,752,656,924,652,150,199,783,327,636,937,397,393,143,
607,934,342,056,563,844,946,365,133,993,998,051,802,611,803,385,682,624,986,
845,042,759,786,940,410,061,082,390,977,644,390,789,600,495,840,208,630,654,
538,120,719,348,846,522,948,198,457,702,091,776,195,354,458,951,030,728,697,
005,938,413,689,560,571,364,881,791,406,617,854,175,183,915,096,517,035,968,
410,072,468,169,254,395,874,544,631,496,176,647,141,426,140,878,633,182,063,
395,954,479,474,521,352,830,124,024,564,113,549,663,130,442,260,865,097,800,
841,475,207,707,450,707,818,738,519,920,862,177,801,467,572,294,472,259,002,
762,673,306,560,549,564,542,680,913,656,238,610,075,775,676,725,550,920,237,
846,475,016,160,725,370,944,366,505,155,297,891,069,066,086,086,415,773,913,
010,807,822,018,505,131,681,971,712,991,092,536,849,597,663,511,594,197,033,
323,085,340,822,247,348,021,150,366,794,262,858,093,840,377,875,101,984,496,
437,915,415,132,838,054,454,239,601,524,870,875,738,412,462,481,423,055,757,
317,143,954,228,578,080,751,845,320,998,331,341,657,239,339,531,209,365,776,
307,155,943,626,985,021,486,595,965,552,674,546,341,435,075,086,407,701,617,
934,089,420,966,557,403,914,435,331,933,894,578,721,995,005,451,177,373,165,
801,177,786,972,033,795,831,293,903,242,465,711,123,842,046,753,417,164,772,
523,634,548,938,140,643,620,496,717,017,473,164,062,547,659,445,767,437,042,
913,348,713,575,439,074,556,811,037,913,820,049,193,728,007,970,914,380,949,
124,051,307,576,912,747,176,703,066,060,898,036,346,275,733,986,937,579,343,
982,723,909,083,866,244,602,582,530,910,262,172,570,123,729,039,098,572,240,
574,884,817,497,484,273,090,213,349,967,807,694,132,383,955,703,262,420,558,
984,903,550,852,227,272,608,196,518,875,682,382,087,291,611,553,571,108,957,
716,117,767,153,864,228,574,386,398,193,182,081,464,178,000,647,929,903,562,
325,630,148,344,843,613,530,992,950,420,044,820,097,849,213,385,405,072,076,
428,719,001,130,710,796,121,298,759,937,864,210,805,290,491,370,303,321,004,
136,021,787,741,933,801,682,050,456,238,762,449,672,801,467,219,261,040,877,
841,949,763,522,946,367,707,725,377,676,632,161,413,324,016,097,644,726,150,
386,657,694,448,175,330,121,267,516,412,916,890,065,486,113,228,164,047,837,
088,467,586,711,026,356,337,263,570,648,298,822,277,528,071,953,468,446,342,
242,437,213,165,493,359,337,268,158,271,180,065,119,786,018,291,487,264,460,
033,886,169,854,594,619,684,710,235,087,533,672,006,018,497,747,112,079,562,
419,459,786,006,758,506,030,967,623,752,338,133,214,455,411,400,762,974,412,
586,086,038,647,674,633,241,028,344,581,091,459,496,653,173,754,556,326,399,
001,725,901,406,609,534,064,974,603,713,441,471,497,361,789,969,065,164,380,
936,644,680,058,948,969,153,232,606,497,994,521,313,670,841,571,903,184,125,
642,743,058,386,855,838,385,092,052,471,324,647,226,725,724,782,744,183,345,
099,383,200,289,834,652,697,433,334,921,854,066,878,096,696,838,403,003,730,
181,162,180,026,691,447,021,801,419,968,326,576,688,226,162,901,689,718,198,
537,087,614,706,924,141,597,687,358,073,493,607,443,260,362,615,280,093,241,
115,663,931,905,175,760,570,335,234,924,888,964,471,502,002,186,398,949,464,
896,263,482,946,413,153,704,080,351,490,411,559,405,392,043,446,487,173,959,
076,664,631,132,285,664,696,810,469,999,442,424,346,100,537,959,563,319,613,
681,816,824,577,548,063,286,164,075,258,680,027,558,725,737,822,317,186,081,
911,250,680,173,473,154,297,176,652,872,100,082,568,294,025,636,769,068,435,
555,700,994,056,473,656,358,253,322,823,474,099,248,019,205,163,638,298,429,
664,812,142,670,027,062,776,078,394,380,887,390,195,733,154,127,284,965,258,
313,252,321,293,948,600,631,039,382,272,609,402,101,578,758,844,094,073,992,
212,878,754,860,493,190,162,678,493,724,952,943,475,868,408,467,941,763,146,
311,261,439,281,103,336,721,032,776,338,054,013,317,604,184,399,558,937,883,
295,510,060,450,659,481,898,713,274,095,142,239,435,741,354,296,169,732,127,
608,276,803,977,360,119,261,888,405,563,355,133,495,478,151,040,068,933,134,
177,049,727,267,905,231,919,643,050,692,934,315,198,970,460,464,891,815,360,
163,792,559,007,279,258,399,563,194,334,686,614,472,771,455,149,560,164,102,
871,976,873,778,456,038,778,212,066,584,091,699,478,387,764,776,535,633,946,
378,171,230,423,030,471,362,138,946,451,167,690,297,068,912,655,265,586,073,
138,419,033,325,506,091,873,964,299,289,346,662,846,393,352,546,610,509,243,
230,092,504,855,126,044,225,218,161,620,858,679,770,308,424,003,565,805,981,
161,624,706,160,138,723,165,352,445,824,077,211,742,210,878,625,411,459,940,
752,892,615,282,881,137,533,249,678,063,925,207,559,976,888,261,127,244,396,
737,848,303,771,747,414,598,786,872,415,480,544,754,787,796,614,392,695,374,
319,868,697,556,004,552,609,658,159,553,242,740,273,992,518,572,259,186,386,
160,418,600,858,123,601,326,490,224,178,843,463,026,467,701,432,407,339,987,
308,637,953,791,029,289,120,275,947,334,299,481,003,662,963,398,536,934,687,
776,450,208,485,639,638,244,049,728,667,734,041,748,645,159,553,448,152,357,
656,521,273,860,223,486,640,146,818,662,067,366,980,675,526,998,364,581,492,
967,323,461,629,601,382,732,362,398,160,263,477,776,854,065,291,630,477,931,
898,891,046,351,985,127,378,735,265,516,958,518,822,286,591,302,304,720,746,
078,068,418,756,541,217,396,297,136,605,601,851,972,272,840,668,138,145,227,
511,046,832,105,372,737,811,556,552,212,924,860,820,673,362,697,189,756,105,
396,924,990,271,682,130,986,855,955,421,079,068,510,410,999,529,061,571,043,
638,433,624,014,854,335,915,571,358,412,068,484,172,780,963,442,692,146,600,
446,242,257,238,802,250,182,514,620,947,859,531,109,433,066,280,516,010,688,
179,371,018,196,350,541,341,973,957,990,033,726,031,522,483,903,849,504,556,
087,760,494,827,545,106,146,898,411,982,487,295,044,027,990,472,505,275,543,
251,397,443,050,625,640,737,495,436,366,899,529,270,870,581,722,378,394,530,
361,962,875,242,588,362,777,252,224,866,684,218,735,059,550,295,334,224,174,
303,509,185,794,606,346,411,387,581,295,219,899,199,988,470,313,213,353,599,
660,503,091,245,395,931,276,516,022,712,901,889,569,250,257,980,402,757,287,
592,665,442,837,632,055,161,386,301,010,702,034,298,746,960,980,584,863,251,
675,904,086,271,800,705,619,374,439,445,745,022,837,311,838,852,971,449,925,
470,753,880,072,881,994,549,085,937,004,999,144,559,463,853,213,092,371,662,
685,760,464,802,146,612,003,310,536,176,181,394,060,778,236,783,370,811,667,
056,810,061,824,015,984,959,265,965,962,059,220,671,015,415,663,578,187,494,
239,373,334,878,367,265,971,925,731,046,262,547,870,335,879,896,526,175,186,
465,615,918,324,198,189,678,309,433,946,372,023,414,982,847,536,340,616,689,
861,159,328,040,394,448,818,553,376,621,823,407,963,482,830,327,583,427,119,
415,579,311,246,180,646,663,966,058,434,053,396,272,444,304,796,020,000,600,
047,333,304,226,355,074,135,467,839,675,609,334,753,791,440,141,279,753,761,
594,515,703,204,065,447,639,798,828,968,671,976,973,770,569,104,179,726,142,
603,397,575,424,204,501,196,589,563,025,206,145,059,676,786,914,773,780,062,
319,733,305,024,880,711,777,800,177,932,872,788,966,371,150,357,892,853,175,
273,081,277,866,372,257,422,934,260,740,022,551,188,391,149,070,128,417,266,
731,799,870,139,031,255,107,433,054,411,567,826,204,518,017,794,402,947,016,
448,644,492,330,949,449,713,413,563,731,816,824,162,650,733,193,634,362,749,
923,610,707,554,467,338,774,242,739,841,092,566,547,150,269,806,140,853,116,
962,956,931,515,209,463,952,636,435,173,409,517,756,707,722,590,174,907,935,
844,062,701,049,035,870,772,999,768,815,417,867,646,697,777,587,108,970,685,
972,592,551,177,249,098,887,755,388,818,643,838,281,323,375,925,938,481,258,
086,237,814,288,909,649,960,232,801,864,544,261,756,301,480,048,177,047,544,
059,846,664,147,832,438,930,819,611,984,219,473,188,688,390,594,637,699,595,
128,629,434,160,541,957,780,526,146,124,546,658,855,123,872,502,166,300,865,
172,826,222,641,579,924,630,738,825,452,138,104,598,412,182,009,702,694,568,
828,112,893,435,281,535,484,210,714,918,932,898,291,322,741,772,248,592,727,
714,078,247,763,948,623,051,315,023,293,704,985,168,694,155,658,755,349,213,
561,875,649,972,160,959,774,449,222,117,190,432,520,974,004,838,790,753,536,
226,996,224,234,029,840,878,605,389,036,129,427,559,172,211,922,852,715,098,
493,063,386,789,433,449,065,593,184,575,383,056,945,407,310,451,415,346,268,
999,785,802,021,478,609,636,093,892,516,727,272,057,432,383,550,168,153,360,
775,416,362,080,896,131,910,609,492,151,557,336,513,086,324,206,950,604,626,
923,866,615,446,306,221,201,898,247,157,795,499,431,359,481,411,694,120,971,
450,084,039,969,206,457,560,733,319,448,102,092,694,941,480,718,451,653,565,
944,360,002,551,113,805,663,267,659,102,698,727,295,343,508,463,331,419,029,
438,459,920,490,920,822,389,468,511,507,120,467,922,309,942,678,884,594,231,
919,926,592,786,140,079,683,724,024,211,786,790,339,708,793,701,752,906,412,
903,653,357,985,112,607,287,314,360,822,569,299,131,763,263,636,625,048,164,
529,957,009,592,720,225,402,390,488,848,266,962,585,993,859,015,002,918,384,
473,314,710,074,204,774,996,612,602,810,391,092,211,402,325,183,286,432,245,
770,678,186,062,499,266,130,412,296,946,007,501,510,468,465,085,252,130,213,
207,895,944,043,334,044,675,403,244,240,044,246,031,311,692,733,792,260,308,
925,671,766,290,025,051,908,437,199,482,895,991,819,611,164,856,442,392,305,
665,891,583,205,984,790,337,098,286,667,943,165,138,923,483,564,232,010,752,
489,053,730,889,868,919,718,524,695,146,261,826,986,234,599,293,787,520,296,
945,750,232,392,356,290,161,170,368,596,529,511,983,355,541,071,608,770,779,
901,105,524,418,766,088,949,987,911,191,311,824,171,272,263,447,668,481,075,
159,365,040,769,076,452,416,097,186,439,468,869,268,552,393,324,248,252,620,
224,838,109,171,046,225,194,812,557,600,143,008,656,866,028,893,810,691,780,
672,236,316,550,290,051,433,046,638,179,607,961,986,088,979,399,536,158,282,
249,583,222,022,261,519,789,119,963,077,008,399,697,404,944,687,165,730,949,
044,850,025,603,814,872,841,598,027,495,688,705,640,856,611,120,257,612,531,
716,751,798,804,538,286,210,292,908,392,334,339,252,168,589,536,710,374,038,
685,077,341,271,554,381,404,637,016,816,161,507,462,142,872,020,189,149,793,
996,905,421,362,477,488,036,770,180,298,528,051,394,654,684,013,542,912,331,
461,924,655,344,568,478,202,506,022,530,666,128,116,156,109,523,343,136,733,
801,831,277,822,222,044,958,578,856,637,587,588,470,669,172,019,394,271,589,
662,456,600,507,031,559,122,700,274,039,594,910,341,165,519,608,622,063,417,
899,380,615,081,924,467,440,961,076,480,905,076,988,033,471,551,296,503,768,
816,690,643,282,609,120,848,619,748,069,841,713,962,757,280,794,739,767,743,
033,676,794,985,808,446,676,351,908,984,404,485,558,500,491,438,975,163,986,
706,985,692,706,895,433,085,151,705,698,960,811,980,087,596,559,295,808,088,
719,120,514,242,754,465,141,979,333,807,208,138,805,898,450,313,400,090,542,
437,703,172,011,879,063,533,441,531,916,666,826,848,617,535,767,081,165,387,
863,418,620,118,308,017,494,810,869,163,412,805,196,108,316,269,245,413,179,
739,328,465,653,306,459,717,240,945,706,193,878,289,522,698,509,818,964,624,
357,412,217,799,630,403,922,380,729,437,831,381,732,717,333,277,488,009,450,
929,945,745,380,499,511,964,479,863,516,092,846,184,396,715,212,929,394,333,
969,606,588,230,632,605,044,673,178,472,718,841,677,336,004,797,125,607,782,
405,102,739,789,293,168,298,933,635,229,793,841,555,611,242,997,294,360,227,
586,215,806,678,342,597,619,705,231,579,977,224,437,899,662,485,773,470,759,
140,867,541,517,261,343,196,599,074,835,547,802,207,661,098,584,481,803,506,
506,781,505,299,560,424,966,520,678,837,310,542,334,041,247,254,711,334,741,
733,274,431,588,104,734,661,327,492,452,249,678,854,250,441,321,141,085,161,
033,462,880,968,864,690,486,320,954,165,815,577,212,854,460,579,207,016,196,
523,746,321,413,708,165,604,176,863,180,627,286,773,397,042,536,388,511,353,
435,730,274,219,001,061,991,422,324,388,731,579,489,086,902,527,635,775,294,
584,562,028,248,076,915,395,568,985,099,821,825,079,878,851,612,609,071,693,
429,287,028,375,767,044,356,702,809,238,470,296,315,735,547,033,079,992,508,
020,205,866,296,138,131,644,996,728,248,233,525,625,595,408,016,256,588,384,
034,906,121,800,937,817,716,767,974,143,079,153,684,097,238,554,692,485,171,
695,188,613,571,164,980,225,661,578,504,218,771,620,233,161,157,342,425,383,
350,996,411,608,984,951,944,701,841,927,524,042,878,621,435,103,196,275,542,
007,377,147,615,050,270,375,709,159,557,893,095,666,083,892,979,656,138,061,
903,875,635,537,322,594,646,953,966,109,162,909,618,923,361,366,723,708,805,
261,219,143,601,553,101,036,643,688,090,892,359,949,016,612,079,893,645,932,
536,512,140,620,475,410,689,602,687,986,757,294,246,898,217,030,031,812,190,
134,281,858,071,621,517,096,344,991,778,960,528,471,740,271,402,075,649,729,
806,096,496,437,787,070,533,338,309,505,696,352,458,834,106,726,905,058,761,
709,258,351,547,160,931,638,137,574,518,833,624,795,332,016,556,435,070,529,
831,001,595,025,268,688,059,099,973,297,001,489,662,959,947,180,810,999,248,
361,514,588,865,079,755,256,026,995,862,328,029,832,487,696,002,532,318,905,
161,869,651,257,536,627,681,275,448,304,514,323,649,060,457,537,883,401,987,
440,182,608,871,020,755,212,765,243,059,545,975,291,710,489,181,971,567,540,
214,266,745,199,101,787,695,838,589,330,900,432,359,858,161,169,704,162,771,
745,650,871,954,645,667,769,125,320,592,624,361,740,435,872,948,209,842,431,
815,945,062,989,949,419,706,472,599,588,589,419,634,812,581,850,077,331,704,
741,330,946,287,211,106,787,196,791,150,056,784,765,017,016,189,036,529,654,
020,676,669,473,569,076,477,246,842,912,732,517,963,560,442,780,126,382,593,
153,823,233,615,459,330,331,836,320,089,206,877,901,646,902,828,768,383,429,
983,412,915,410,197,364,540,655,411,174,507,946,823,616,665,266,009,888,742,
525,827,173,943,621,353,394,066,507,725,743,469,254,269,188,572,537,688,154,
429,611,433,421,580,069,150,059,554,799,278,848,066,088,171,044,597,940,826,
075,291,514,495,562,781,767,169,188,717,205,457,280,129,520,260,412,100,857,
963,891,279,108,055,251,640,505,313,679,038,684,797,498,113,476,921,292,243,
550,016,849,535,691,254,775,269,023,789,207,505,515,000,665,571,097,930,472,
691,352,459,475,148,221,133,826,417,891,150,300,497,842,494,852,027,085,097,
886,535,281,827,495,079,087,211,202,327,691,572,783,868,871,501,566,679,277,
327,364,477,524,608,757,948,092,325,658,654,113,488,643,097,970,774,288,898,
066,810,702,933,765,895,896,586,761,814,757,635,589,496,908,533,388,132,003,
560,439,949,453,548,754,650,508,992,578,958,092,678,291,972,072,748,525,729,
265,207,191,234,762,963,294,817,428,861,448,299,064,042,340,783,766,057,328,
956,672,022,598,060,417,618,773,419,189,429,834,420,407,152,491,883,019,595,
990,085,545,948,614,987,538,609,194,038,579,656,914,089,760,625,991,317,101,
359,799,069,041,788,137,580,343,956,700,390,713,330,486,125,184,583,857,280,
285,324,425,319,701,775,925,530,277,546,435,184,516,402,326,342,980,418,023,
097,423,779,736,196,736,727,542,226,684,658,193,824,908,069,797,256,505,977,
641,125,634,711,489,695,728,929,548,579,966,567,721,115,523,389,802,801,685,
400,327,772,420,620,064,423,805,458,540,853,739,789,952,383,156,077,596,599,
155,741,065,020,975,959,556,221,194,410,157,637,355,324,194,107,683,604,047,
763,994,120,902,144,420,233,572,699,679,736,987,608,235,883,035,964,030,851,
057,131,897,001,521,557,880,929,773,402,519,008,059,565,515,957,044,624,263,
680,666,062,683,869,043,977,499,846,800,858,184,402,414,779,570,380,748,468,
413,563,681,503,150,592,429,511,890,442,439,589,456,313,201,546,398,560,173,
279,877,733,552,801,748,301,351,423,511,116,100,723,739,027,133,736,328,331,
929,914,112,653,920,853,860,066,899,790,785,735,619,638,011,394,768,342,271,
059,773,990,919,402,296,535,111,194,004,986,724,714,177,136,466,494,730,188,
465,183,005,320,596,120,150,857,171,481,531,023,677,706,386,369,357,257,996,
474,840,810,635,189,163,325,952,311,604,489,495,385,617,126,833,858,845,940,
597,754,941,371,533,221,401,072,594,900,025,825,152,367,474,246,022,679,927,
969,405,541,568,844,522,912,888,825,414,276,526,686,252,621,698,497,577,475,
631,726,409,072,160,919,346,278,609,478,153,510,961,133,722,279,844,525,818,
685,750,610,534,768,945,501,523,756,178,629,846,682,163,980,469,205,285,930,
868,775,222,145,321,292,080,514,758,680,006,248,201,610,094,596,902,205,149,
204,141,743,918,091,517,416,110,898,987,037,743,895,751,109,818,174,397,926,
864,375,300,336,571,734,308,822,268,935,023,579,788,881,597,804,138,504,890,
267,832,690,141,998,031,206,165,419,089,902,442,830,540,823,910,953,374,891,
209,441,000,780,420,007,736,003,880,089,013,593,853,555,389,849,191,761,024,
569,723,476,643,586,456,563,543,232,828,205,100,893,472,177,394,970,119,442,
324,686,888,033,993,589,854,425,787,720,540,627,523,789,910,749,099,564,318,
297,432,094,555,616,848,839,918,031,337,393,216,330,935,593,631,682,278,977,
916,994,014,713,336,430,725,984,312,128,373,947,779,239,298,107,178,718,275,
852,685,757,623,484,955,103,360,542,427,621,772,790,174,092,639,367,047,026,
017,874,332,513,635,209,215,893,432,268,974,489,791,658,731,313,473,037,233,
564,527,285,188,829,792,941,630,929,057,601,597,827,963,595,697,604,713,758,
312,536,958,558,211,359,485,457,259,425,923,571,719,996,791,819,648,142,765,
232,627,366,284,232,718,453,040,932,012,748,798,796,700,207,619,233,886,475,
346,119,969,100,497,584,857,310,665,236,531,493,682,314,564,220,654,950,961,
599,371,602,768,708,689,009,448,013,859,776,130,414,200,423,269,030,248,564,
373,428,776,750,856,455,528,727,035,666,703,292,888,915,547,260,719,204,060,
710,878,545,674,289,616,275,939,402,193,932,911,423,316,649,342,109,023,464,
753,977,995,224,426,359,407,355,858,106,519,373,713,609,264,281,448,344,357,
578,822,305,795,119,850,376,101,431,961,985,825,074,156,256,653,476,508,088,
218,915,325,593,626,263,619,594,008,905,520,470,879,381,630,370,786,789,777,
657,860,909,062,623,207,717,920,985,919,312,361,025,227,446,446,200,213,323,
423,322,988,208,590,810,668,382,780,517,018,013,200,458,869,687,902,847,768,
572,632,457,696,573,149,973,818,992,871,879,210,996,523,582,571,655,496,650,
662,314,821,343,027,151,142,474,936,295,771,060,930,408,200,290,216,078,906,
373,595,979,192,484,800,918,922,170,094,921,958,310,643,981,240,253,112,995,
515,098,690,740,114,531,858,302,589,534,491,470,418,028,843,428,792,443,193,
765,084,796,373,859,306,760,040,672,348,647,607,761,839,210,464,330,755,653,
239,733,666,533,974,921,869,875,906,311,759,577,709,740,939,506,285,722,664,
485,723,292,591,447,376,251,960,229,831,246,785,596,008,882,327,582,406,697,
909,300,901,615,626,313,784,982,443,446,910,174,435,804,484,342,675,191,605,
337,597,008,002,620,098,799,410,186,342,071,367,313,351,400,601,908,939,859,
130,427,820,481,465,464,710,419,082,088,747,208,431,761,570,303,554,406,885,
294,505,683,717,088,670,873,788,552,524,821,196,830,871,523,244,911,034,524,
773,316,240,121,592,619,871,597,300,282,923,803,929,737,338,303,589,394,735,
334,067,722,414,044,850,939,139,654,639,219,054,599,272,589,230,863,481,936,
446,123,958,269,294,021,086,282,728,174,291,275,076,267,735,614,330,595,099,
583,932,057,378,793,408,383,521,147,698,544,963,222,498,916,663,429,220,901,
372,316,515,564,792,848,134,068,879,029,055,241,282,382,888,436,551,781,192,
719,693,237,906,627,944,795,306,682,754,147,552,021,925,379,485,044,954,286,
323,752,623,136,276,499,739,994,634,942,672,120,413,336,227,761,586,977,176,
859,066,015,242,755,858,008,563,217,371,463,684,161,366,263,880,619,301,718,
837,381,792,751,211,383,063,740,822,012,659,024,643,854,109,409,648,849,301,
864,374,680,249,515,645,735,075,877,092,502,820,117,546,776,371,513,109,695,
795,637,762,931,828,052,457,052,120,844,486,140,012,093,338,735,614,181,868,
454,944,390,642,842,864,894,172,598,731,582,282,193,921,827,699,061,703,808,
918,911,983,785,663,934,990,816,706,028,299,686,706,568,533,884,641,182,978,
274,537,001,823,753,676,860,282,905,886,347,437,349,728,101,896,001,821,846,
146,496,823,166,414,916,407,478,655,081,415,039,558,481,520,720,331,050,102,
199,929,514,779,005,794,324,872,256,095,013,319,532,221,064,751,416,300,150,
046,935,609,251,026,188,450,362,836,974,678,069,301,628,649,772,680,443,760,
474,887,730,335,751,810,712,507,914,349,116,233,713,157,446,865,542,009,161,
609,212,038,578,251,247,290,655,658,270,132,471,967,426,341,121,446,376,554,
224,044,177,398,585,584,784,681,150,124,115,182,586,102,857,939,957,370,649,
784,507,396,443,967,598,455,053,517,507,611,881,907,617,567,997,165,242,896,
996,773,200,100,962,903,283,234,709,493,548,617,996,992,860,919,875,755,438,
455,790,315,286,503,990,496,554,548,123,973,893,517,447,895,032,706,656,487,
981,704,954,412,438,982,379,794,732,817,663,382,012,847,093,206,078,726,189,
730,282,372,902,486,467,701,452,248,781,557,968,641,953,147,638,863,102,050,
712,295,749,739,319,499,854,816,094,475,817,614,439,310,530,267,733,197,385,
879,023,428,426,795,176,807,495,455,216,002,682,017,723,775,041,091,504,382,
137,472,784,908,062,415,420,533,812,643,280,671,709,635,380,020,691,929,227,
394,352,016,096,228,519,059,412,345,217,895,045,123,789,673,465,109,772,057,
279,140,282,495,927,977,371,712,612,651,801,639,395,457,870,677,173,335,012,
594,361,169,688,242,456,208,515,110,134,431,437,294,763,831,560,365,666,425,
391,780,961,054,600,290,867,545,791,164,723,017,527,703,646,425,997,228,147,
129,442,745,659,261,207,953,819,375,008,713,099,068,599,989,015,122,649,714,
319,330,765,295,805,804,113,506,694,157,021,508,897,549,527,017,267,060,229,
638,551,705,616,126,316,621,254,931,816,336,030,144,938,202,510,940,746,679,
042,911,748,300,289,682,581,746,944,199,559,781,164,288,689,662,703,033,791,
802,952,720,528,609,258,714,088,495,588,403,452,183,097,683,119,381,784,481,
011,871,214,799,313,171,388,983,163,704,987,147,832,679,488,973,321,317,885,
856,884,379,810,645,749,251,475,017,882,840,856,498,705,559,873,753,727,804,
776,693,689,643,304,382,156,872,731,490,992,840,762,487,236,759,671,856,635,
110,323,495,497,976,880,702,159,653,854,497,205,701,474,950,494,575,166,064,
935,724,149,777,551,796,367,343,997,670,896,219,532,106,379,577,990,713,135,
698,574,882,419,168,817,355,215,319,486,798,365,891,482,843,861,471,548,872,
258,978,922,474,075,941,215,646,699,316,240,328,083,105,188,640,496,777,345,
697,923,029,008,579,960,516,951,491,924,774,387,281,144,390,701,193,883,086,
122,063,837,701,220,940,120,792,108,483,034,184,187,701,054,128,578,977,382,
758,585,179,740,676,265,654,181,058,101,118,990,275,897,966,894,131,862,858,
571,771,838,658,843,134,574,345,453,668,737,500,532,091,990,491,133,960,776,
778,817,455,256,478,455,355,194,965,059,421,143,879,083,383,669,767,391,998,
410,940,728,115,550,314,952,644,772,124,829,992,760,130,485,567,828,066,826,
191,199,153,495,409,839,659,372,513,996,850,628,608,370,675,131,496,324,404,
396,771,967,597,923,121,952,772,803,645,536,682,601,807,667,915,081,517,858,
404,704,218,137,754,961,865,449,622,416,149,132,968,805,598,715,111,644,450,
973,363,366,051,250,640,307,787,238,408,102,643,043,828,856,531,805,566,042,
505,132,988,401,990,823,348,694,806,775,027,761,116,472,602,079,103,759,025,
135,532,915,731,200,378,329,589,011,785,880,259,666,786,586,456,424,327,207,
300,440,611,213,202,712,278,000,537,641,630,702,064,728,715,013,511,623,185,
024,375,240,588,521,383,516,415,157,328,738,946,362,973,652,307,703,052,956,
110,086,336,956,583,130,125,641,641,799,052,195,891,666,481,254,402,589,327,
227,646,478,305,244,476,550,166,841,051,426,790,630,914,091,496,763,067,311,
724,315,555,074,407,122,449,450,430,461,399,307,416,879,499,698,020,909,076,
866,034,268,306,714,230,791,018,208,562,191,352,924,357,862,274,780,412,920,
653,060,510,578,181,142,644,849,610,965,021,396,732,999,777,009,318,604,636,
417,108,977,472,680,992,269,084,152,728,964,107,604,210,533,505,755,753,554,
386,606,703,547,660,231,192,985,362,000,417,638,297,977,754,759,744,969,481,
158,103,580,837,533,029,375,438,247,702,302,832,318,424,673,858,341,478,646,
943,884,614,679,996,559,527,442,605,673,335,101,309,477,925,954,212,795,574,
674,096,766,472,215,325,600,155,580,432,007,401,684,919,670,909,750,185,746,
222,517,234,826,179,491,087,239,994,179,032,878,490,508,283,454,851,483,147,
235,353,433,588,366,546,623,574,515,971,416,597,586,899,592,114,206,222,216,
594,676,505,605,239,605,829,803,154,792,294,901,158,240,957,401,341,461,948,
858,562,713,920,542,808,724,316,022,127,582,889,764,452,246,155,139,497,340,
243,427,890,992,928,168,303,495,977,168,536,692,095,160,803,970,198,104,714,
559,743,328,774,912,016,446,511,267,709,651,430,332,978,660,903,618,434,319,
744,002,658,022,668,469,557,257,364,051,859,874,377,793,824,371,843,498,671,
766,759,785,662,953,815,014,309,171,770,984,877,863,974,334,604,514,690,237,
455,808,897,957,605,270,479,858,481,573,785,137,876,444,760,176,690,795,004,
502,389,088,763,111,334,506,047,319,031,212,559,256,469,618,241,611,428,496,
031,540,293,311,862,953,690,962,896,740,534,837,168,600,324,036,146,799,190,
036,968,289,851,132,136,469,533,390,166,063,339,739,366,813,752,126,886,850,
680,814,337,763,496,956,794,893,030,271,548,189,009,148,950,321,692,181,770,
534,087,250,215,008,591,849,644,960,208,619,073,254,858,622,579,876,486,972,
420,630,696,086,133,200,173,312,517,604,947,288,285,787,205,922,453,707,758,
217,318,129,696,050,862,325,125,972,211,933,481,806,874,889,621,507,052,730,
590,193,216,106,631,170,988,213,239,904,888,441,198,197,068,558,867,068,737,
897,494,835,137,685,542,779,145,672,417,333,900,776,058,586,540,705,623,740,
688,138,254,393,294,287,714,542,467,302,334,429,682,818,540,700,610,597,255,
349,294,753,276,216,319,597,471,122,054,013,054,060,468,334,193,721,635,496,
385,576,985,980,898,788,979,582,568,370,530,333,337,944,852,102,758,935,460,
279,397,103,753,761,570,688,581,804,866,653,271,379,778,489,287,021,196,678,
114,789,433,785,112,401,066,787,928,896,077,563,269,917,960,338,965,510,708,
210,067,890,951,299,545,585,848,660,240,178,913,883,338,941,780,783,348,247,
150,101,642,202,979,460,927,651,750,309,309,927,922,246,659,787,917,227,376,
794,231,435,669,548,284,395,304,695,363,408,815,871,316,780,821,248,748,698,
059,896,335,084,217,879,506,325,477,515,757,634,938,762,052,437,937,115,558,
639,231,453,417,564,836,920,999,810,000,586,085,930,896,569,556,966,838,507,
493,866,631,351,976,191,560,242,930,111,525,032,608,693,699,398,704,000,105,
706,218,916,139,172,351,078,537,104,420,876,774,690,348,161,355,717,097,994,
531,556,558,144,943,862,247,760,880,385,125,973,711,831,426,848,530,513,463,
433,413,214,977,989,826,949,502,048,406,904,263,103,147,031,782,555,276,425,
563,743,203,529,910,676,844,568,688,519,487,443,635,162,383,436,252,260,319,
565,510,002,998,660,940,556,545,430,729,954,038,614,453,131,631,839,167,268,
497,185,705,541,626,282,516,428,668,561,833,551,465,273,191,103,218,469,235,
289,251,376,230,598,072,557,897,515,391,924,053,822,202,107,854,456,511,111,
067,758,226,989,506,009,768,731,088,564,654,537,818,317,231,924,488,214,100,
815,181,582,152,546,017,557,749,131,700,197,770,753,155,211,308,059,586,958,
831,657,885,682,266,424,490,222,089,507,109,041,842,372,213,074,131,811,671,
461,271,107,895,532,305,268,994,960,897,739,073,494,418,807,935,236,073,194,
026,181,226,620,427,038,824,401,556,973,896,717,334,523,948,208,000,029,603,
917,299,564,401,962,617,301,467,979,912,334,620,158,893,469,314,803,327,324,
290,608,963,962,568,302,779,358,011,684,021,836,852,448,429,858,722,763,485,
711,773,758,761,842,231,927,902,897,948,145,809,753,480,816,734,751,373,066,
570,471,185,668,558,771,398,288,946,363,661,373,169,585,171,433,755,522,900,
392,815,787,532,047,180,999,243,388,144,032,825,463,903,419,282,923,619,858,
938,859,005,701,429,222,852,890,222,246,905,627,823,456,117,262,497,350,578,
455,963,163,360,386,711,215,481,272,450,314,832,459,976,778,422,509,518,041,
436,984,656,191,885,967,037,516,754,422,456,806,766,100,073,539,228,883,459,
675,951,436,153,697,935,585,222,220,635,258,122,352,637,076,882,840,561,996,
780,958,967,645,838,955,138,388,850,330,410,793,405,257,240,949,370,081,244,
452,220,754,593,410,208,658,944,526,344,950,926,960,967,492,480,378,332,708,
085,571,431,102,531,403,422,553,007,070,709,956,051,152,714,978,821,655,265,
759,487,440,405,786,134,803,912,291,443,371,759,396,856,939,018,444,586,008,
183,714,935,732,652,685,941,612,849,209,656,121,817,072,546,254,744,148,526,
429,279,977,926,171,275,787,944,832,178,414,924,572,965,476,897,358,151,839,
855,988,193,860,767,665,475,563,563,654,096,591,368,374,667,801,279,860,080,
580,763,148,648,679,654,457,574,317,863,852,219,635,053,595,040,851,260,165,
450,516,551,354,108,009,868,399,710,029,551,140,204,394,478,591,068,955,257,
935,882,564,239,741,655,352,565,187,082,806,013,844,057,079,859,278,550,120,
707,928,753,399,206,553,889,652,288,227,617,942,525,375,732,790,906,956,154,
906,947,422,027,082,897,676,216,331,832,371,590,275,873,600,797,398,060,673,
232,313,485,539,477,228,692,943,599,698,121,124,337,340,015,198,861,631,489,
926,558,002,189,419,325,166,448,527,743,443,958,168,060,348,465,108,754,334,
643,233,987,308,193,153,543,403,905,885,664,072,775,897,181,947,042,563,126,
145,926,830,738,434,416,099,456,129,165,691,262,099,934,003,017,471,663,686,
572,829,241,851,886,319,726,861,939,287,607,367,262,041,902,537,901,874,530,
310,342,373,257,229,950,122,893,388,425,903,383,074,776,400,929,601,660,273,
403,927,974,612,922,496,889,078,461,644,330,025,929,867,343,263,066,654,667,
978,144,563,915,094,091,925,025,905,198,475,449,338,929,504,875,024,452,562,
730,010,648,672,185,742,321,541,856,413,838,249,654,121,465,598,024,424,390,
940,534,566,172,130,512,402,079,114,189,599,362,352,605,599,403,668,030,069,
133,914,831,264,730,563,028,511,605,036,796,238,800,401,501,983,546,518,438,
726,911,369,345,164,966,878,521,110,296,517,523,815,478,790,686,876,989,215,
677,879,184,365,688,511,993,700,518,018,906,662,583,809,737,882,517,576,408,
342,586,525,870,618,179,019,748,414,795,685,961,959,507,083,207,160,116,202,
647,290,983,702,119,526,155,122,255,061,701,723,115,696,649,403,695,193,716,
360,083,730,697,910,510,029,640,761,513,885,551,918,401,529,608,008,943,734,
549,674,905,259,322,238,977,608,688,354,587,513,766,800,349,536,531,411,788,
476,381,553,372,132,438,126,588,233,877,821,883,058,111,322,854,247,642,739,
581,238,583,357,426,626,621,608,811,862,268,216,299,337,374,364,798,036,448,
259,219,032,045,854,513,785,892,807,566,494,888,353,365,755,919,745,112,302,
350,580,526,832,987,743,050,280,837,276,089,701,266,720,366,079,412,567,790,
905,774,941,213,699,131,206,022,727,021,695,259,632,822,103,383,165,173,222,
355,717,521,920,039,352,326,320,920,689,928,708,184,607,959,671,801,166,123,
248,943,040,294,062,247,500,379,607,097,462,082,209,653,832,731,690,974,511,
725,566,455,600,714,335,947,793,376,267,677,909,999,335,291,392,830,081,327,
025,790,370,113,211,054,936,450,500,609,070,389,745,311,499,252,272,427,549,
340,671,961,170,594,102,267,899,855,394,328,171,246,073,787,937,082,736,108,
626,707,407,497,129,240,853,086,010,704,107,516,264,653,485,925,382,886,814,
596,908,017,442,727,258,050,988,558,978,804,514,595,435,504,449,324,434,272,
320,413,120,973,186,436,172,527,715,803,170,271,265,585,360,652,090,532,021,
249,238,398,860,425,556,733,040,909,805,741,013,190,217,774,631,381,575,206,
175,025,686,961,862,434,229,085,718,389,526,363,181,281,550,891,210,173,268,
923,926,451,984,336,780,085,289,316,990,610,668,787,160,346,069,656,991,624,
930,686,250,416,524,866,126,194,611,014,820,463,265,552,594,298,170,334,225,
044,726,769,198,014,144,820,739,463,669,857,377,533,265,276,516,948,099,251,
892,120,858,825,696,292,790,779,663,945,193,753,665,095,441,074,938,762,909,
189,868,373,773,003,361,639,093,928,690,945,674,922,487,549,349,408,502,298,
127,672,111,785,499,412,279,788,954,673,190,601,521,948,759,531,766,988,507,
474,110,006,722,022,073,901,101,419,298,812,794,159,257,701,039,268,983,181,
578,417,039,579,008,515,747,279,597,998,594,319,139,377,511,853,120,713,633,
399,963,091,772,050,157,173,023,453,582,087,312,032,478,683,734,908,108,231,
621,824,124,677,784,328,756,463,564,889,997,843,016,838,882,955,140,490,525,
649,235,955,366,253,069,236,630,372,041,949,750,884,789,962,211,368,747,949,
570,999,474,550,609,792,173,681,331,767,839,599,577,515,136,217,268,980,593,
520,659,954,792,495,783,229,764,604,628,973,323,679,064,681,348,755,057,609,
696,523,116,479,365,647,542,447,133,697,214,983,685,357,183,435,430,946,536,
861,732,157,161,572,625,546,284,237,340,870,765,741,436,996,786,223,902,240,
690,078,619,078,308,385,909,040,317,041,994,757,232,045,355,117,370,394,032,
638,756,490,051,391,332,844,680,797,953,461,710,479,967,872,495,511,626,003,
893,719,780,165,248,848,876,048,352,086,994,544,674,931,686,294,296,001,246,
779,577,316,272,263,557,782,203,657,345,057,120,016,444,617,281,880,541,400,
541,248,026,517,033,752,808,091,289,323,623,427,651,054,721,976,666,697,828,
461,744,439,695,859,042,190,270,697,920,370,377,104,811,124,478,318,720,396,
806,926,336,997,680,575,026,711,602,913,608,699,542,241,156,175,473,749,797,
882,542,038,649,269,820,649,026,343,770,762,889,213,057,041,565,385,878,613,
086,722,842,913,642,424,568,783,872,308,806,039,134,945,338,391,508,596,464,
154,000,716,605,951,249,709,827,888,354,169,505,905,730,813,533,837,682,902,
993,360,429,645,990,728,551,456,189,218,715,294,236,895,299,264,764,429,371,
920,474,918,406,364,794,763,331,038,228,064,449,144,334,020,414,552,963,541,
467,527,108,193,695,296,988,385,859,161,714,594,025,443,176,236,973,141,839,
315,330,842,332,042,935,221,672,404,510,150,399,949,781,819,214,605,068,803,
716,986,405,636,163,320,843,153,399,871,431,379,271,554,630,970,305,270,977,
505,381,410,534,420,226,245,185,231,610,419,546,353,059,332,363,371,528,243,
833,517,509,667,020,345,864,701,586,855,207,090,459,303,611,938,118,436,946,
293,609,003,834,396,223,324,397,968,395,077,177,052,211,276,437,216,717,016,
798,305,216,653,588,658,266,618,410,223,531,173,837,293,604,655,466,534,789,
929,691,948,235,629,888,312,920,987,405,682,621,762,709,646,248,848,036,805,
353,199,711,774,336,390,318,143,496,406,106,676,089,924,439,278,214,711,395,
118,677,527,895,163,832,362,890,430,273,418,134,090,792,439,983,802,092,983,
498,216,425,218,001,665,339,229,896,014,278,470,033,679,842,533,797,583,547,
518,339,751,719,024,129,493,565,244,454,358,580,094,030,283,922,061,293,935,
676,562,539,747,371,320,007,986,201,860,565,091,260,552,177,305,824,378,123,
770,945,139,539,017,640,891,739,192,423,083,144,211,824,523,952,489,094,669,
260,085,509,147,377,736,432,811,852,132,671,044,947,720,365,563,205,391,142,
705,234,408,424,823,258,637,695,084,829,040,313,204,474,117,939,697,503,661,
260,351,958,991,756,443,636,046,770,535,766,143,707,778,084,265,849,130,050,
442,595,325,082,917,017,714,043,962,080,930,994,952,086,866,533,349,591,510,
276,849,150,061,470,102,586,586,353,486,323,150,144,976,708,391,122,332,385,
399,165,227,297,553,104,825,880,866,781,687,024,654,571,982,989,858,826,078,
324,739,318,686,298,655,389,272,938,822,525,980,256,794,610,703,094,693,138,
445,037,038,497,136,748,156,133,959,478,521,436,468,952,817,141,108,980,016,
026,017,311,224,306,747,271,826,379,373,814,441,925,353,072,402,117,251,711,
444,749,001,338,238,707,277,701,650,775,327,229,913,919,121,113,646,169,709,
718,543,783,507,555,400,781,640,939,055,544,406,531,307,647,098,832,025,506,
457,745,329,158,161,634,108,411,308,398,877,432,784,919,274,965,582,404,392,
621,812,389,333,286,472,334,057,420,481,524,272,711,589,666,533,656,612,719,
332,654,127,995,652,675,336,163,515,488,370,421,338,002,380,449,440,997,670,
299,232,246,617,264,280,069,292,509,538,690,914,538,027,480,203,774,353,762,
118,356,084,504,705,385,520,830,646,478,022,518,423,478,814,785,560,655,187,
756,935,432,546,330,002,803,037,927,582,753,656,029,062,964,857,622,984,267,
349,918,109,034,500,563,700,984,179,741,575,296,042,439,125,334,382,334,035,
768,727,676,616,463,128,523,048,760,294,325,764,752,178,356,056,741,118,417,
358,871,669,612,057,248,750,502,109,731,430,422,299,964,671,888,650,260,206,
192,495,841,066,995,091,412,035,224,163,113,913,046,707,625,146,838,262,292,
014,415,479,622,437,888,990,297,306,896,926,451,917,000,905,818,623,111,004,
419,433,232,414,992,371,791,751,778,191,259,170,820,810,602,683,902,358,812,
216,125,015,508,599,250,899,711,627,487,877,306,446,402,892,205,968,572,633,
608,556,691,865,633,107,285,383,673,856,805,852,191,554,385,303,829,593,596,
423,393,458,752,172,985,646,340,537,229,492,753,719,003,357,536,800,024,909,
867,640,849,166,335,291,517,264,279,106,310,479,189,537,179,984,985,850,761,
534,511,773,679,871,863,550,026,797,706,013,864,485,000,708,142,751,188,108,
590,802,493,176,675,509,220,768,935,402,427,540,379,813,292,366,503,360,887,
298,325,969,703,896,610,921,607,507,738,468,289,615,311,455,112,059,460,105,
748,180,619,987,189,105,392,051,943,453,489,389,088,196,812,136,229,269,239,
818,517,025,721,202,789,110,847,159,512,551,165,196,217,194,419,284,241,211,
987,938,737,629,617,532,010,885,834,489,586,718,672,940,487,680,543,320,451,
448,569,550,430,184,508,297,942,588,214,419,371,023,854,444,795,869,290,445,
982,538,652,778,893,682,274,892,521,829,425,602,354,849,281,369,633,619,151,
395,927,252,843,894,649,122,734,904,450,628,490,449,367,932,004,472,740,076,
124,333,000,782,259,446,497,288,447,252,852,721,436,044,494,515,423,748,147,
634,401,024,735,753,819,408,210,481,179,501,888,420,065,273,202,262,876,655,
264,269,502,177,554,186,774,127,503,593,012,363,040,405,727,294,518,684,911,
472,220,433,093,581,205,558,020,735,371,411,299,130,459,531,187,644,664,744,
268,807,411,393,181,588,048,624,912,939,428,710,392,915,178,138,393,148,386,
970,923,114,966,866,919,839,965,479,106,092,761,085,083,977,931,916,318,404,
057,674,720,978,175,957,978,959,466,430,355,064,967,411,498,753,757,284,535,
604,602,250,544,364,004,277,137,532,769,763,547,725,413,292,113,964,538,166,
738,113,298,433,251,559,872,947,826,245,570,229,402,842,473,296,441,484,993,
163,893,674,426,444,861,675,095,940,391,688,512,667,842,811,604,442,434,854,
846,023,359,069,443,890,040,204,709,461,309,128,740,500,308,152,438,035,944,
092,625,668,535,153,930,043,898,775,185,122,048,077,233,054,219,833,243,310,
639,754,103,612,479,903,801,287,693,858,807,096,824,253,819,443,709,048,278,
863,237,216,004,676,622,237,505,116,294,633,858,807,969,791,134,518,921,617,
947,388,450,481,911,433,689,685,840,876,483,633,664,551,006,147,412,475,914,
529,263,531,491,263,494,479,285,484,203,900,059,142,444,230,202,784,770,340,
845,842,366,836,086,455,837,249,760,549,462,205,136,757,413,386,970,408,836,
654,418,253,225,861,979,215,669,259,124,803,260,518,547,017,808,306,499,552,
374,673,784,868,544,878,203,912,804,831,973,867,333,644,339,087,144,360,489,
789,953,873,345,755,612,302,611,733,827,631,146,174,006,483,333,934,105,576,
161,055,275,604,001,289,372,015,635,824,387,911,414,191,031,333,697,355,631,
856,869,809,285,692,073,620,697,779,635,025,685,381,453,041,787,488,693,363,
414,583,143,471,349,446,153,804,953,795,162,880,910,017,582,823,081,177,282,
920,807,243,968,193,729,640,048,316,295,231,092,731,241,948,188,510,013,884,
850,007,277,966,736,570,713,861,242,456,490,943,510,746,082,907,061,267,375,
883,374,203,507,734,980,266,818,027,672,594,096,062,666,068,828,315,206,397,
269,901,303,670,178,256,618,739,347,476,077,684,887,959,096,189,802,478,855,
208,843,371,883,761,525,780,823,912,102,998,092,125,761,033,005,197,121,379,
710,636,995,110,972,951,398,816,737,944,296,096,074,308,838,264,038,933,948,
112,704,617,258,064,074,288,432,689,378,791,923,984,284,523,011,908,689,405,
096,049,357,276,291,824,499,685,879,220,648,266,180,499,451,622,826,336,812,
872,154,830,938,385,646,802,721,996,355,131,863,183,986,009,746,970,639,647,
828,921,692,030,197,481,159,205,016,027,438,162,272,420,951,151,873,333,480,
374,815,814,340,410,157,988,454,878,777,850,456,357,576,243,038,211,578,543,
600,580,484,809,767,974,703,635,133,512,650,801,677,685,938,682,404,949,037,
462,358,834,610,541,868,209,363,240,510,781,715,276,433,569,498,713,121,867,
451,526,324,253,948,619,162,450,472,468,199,119,464,046,133,487,497,082,171,
400,293,698,919,083,447,387,656,336,488,528,574,284,562,498,228,021,572,311,
967,547,071,423,283,268,606,886,044,835,831,933,145,268,522,267,909,028,552,
648,458,870,276,026,506,631,716,033,169,241,839,398,537,187,921,966,554,828,
615,375,937,989,711,224,021,884,281,414,247,033,577,721,782,476,631,089,346,
400,374,854,076,120,162,862,854,756,584,528,937,505,166,575,154,782,261,396,
456,894,377,719,521,911,921,376,399,723,278,525,843,253,527,538,566,507,404,
458,733,222,112,508,883,840,854,205,837,280,213,910,075,329,018,782,073,152,
861,088,365,242,986,466,564,964,189,187,309,144,010,312,981,263,626,172,285,
557,447,323,796,880,382,710,339,942,280,565,823,584,504,396,573,156,131,082,
294,345,357,847,645,061,127,957,317,680,611,933,360,169,254,386,705,758,852,
141,740,264,232,672,462,839,707,854,663,499,523,317,669,901,965,041,114,694,
606,795,466,359,016,490,131,007,647,045,055,487,296,583,038,158,799,590,273,
997,076,612,037,432,973,302,833,797,754,052,337,604,492,887,445,134,778,201,
310,792,790,427,431,951,993,889,983,512,737,848,738,752,505,451,110,655,210,
792,076,051,810,443,823,217,093,134,150,387,206,588,922,930,858,150,414,943,
599,239,587,579,713,410,935,235,360,156,813,634,214,161,808,356,198,347,475,
961,548,948,012,781,745,936,634,213,394,633,882,738,351,185,110,973,270,677,
965,480,806,769,310,723,289,324,661,293,911,295,955,048,607,899,083,950,653,
231,708,718,493,524,919,476,322,084,129,044,101,092,702,956,537,684,901,377,
758,135,543,195,378,619,946,631,752,972,867,829,859,256,566,205,334,410,097,
644,855,267,726,436,176,584,518,137,081,888,877,219,400,457,588,023,847,935,
924,028,792,520,036,486,343,774,165,688,811,142,483,953,021,689,792,997,366,
001,739,923,972,595,221,426,250,813,781,186,911,101,272,553,390,097,624,708,
154,060,941,343,422,273,745,535,876,206,100,848,031,040,090,344,775,438,048,
319,047,331,036,717,053,957,878,918,122,448,806,326,086,930,440,972,575,253,
467,318,500,182,078,711,795,691,037,904,767,019,295,635,232,884,945,886,644,
395,091,909,810,976,577,349,378,299,021,025,288,353,052,617,200,580,780,242,
142,420,259,751,653,948,311,237,618,630,203,629,460,583,250,246,590,069,214,
263,173,317,918,894,545,440,251,633,095,867,432,789,021,685,185,638,336,601,
451,287,106,323,156,895,542,259,392,536,094,109,529,161,875,721,325,342,621,
162,104,236,391,710,255,225,886,544,056,483,351,273,757,728,983,237,839,699,
324,594,717,845,503,280,076,582,300,997,391,748,575,996,209,217,190,312,275,
507,236,744,021,323,088,162,006,711,976,123,177,675,250,306,231,208,961,691,
150,149,472,237,824,703,237,632,263,651,450,346,749,344,892,920,726,302,012,
173,049,360,501,641,381,922,329,477,003,017,107,277,371,946,103,087,891,807,
811,681,550,770,081,634,662,228,661,792,502,946,806,800,126,461,575,537,081,
626,174,666,114,438,740,151,072,755,910,968,042,354,008,863,696,258,528,267,
608,272,366,755,432,754,801,658,097,103,531,028,860,530,714,019,639,780,164,
823,543,729,151,514,328,316,207,421,178,915,412,780,982,362,052,785,835,605,
965,573,066,276,460,914,173,901,514,499,729,093,395,694,176,158,657,468,616,
907,092,327,821,406,522,693,998,399,023,316,951,131,871,858,689,560,266,251,
382,953,036,705,735,533,221,350,407,891,781,759,464,849,899,749,907,587,752,
444,076,070,090,806,350,724,677,353,458,101,730,352,303,726,467,335,859,671,
497,324,013,470,484,558,876,019,472,923,284,820,212,950,411,187,536,984,050,
991,360,129,180,559,815,616,201,529,325,380,846,869,603,618,655,907,468,362,
602,013,762,860,438,340,765,672,913,576,486,816,694,076,463,300,187,130,353,
571,323,569,121,210,322,556,069,457,710,586,106,031,357,401,312,896,846,133,
833,646,783,875,805,270,341,439,879,771,237,119,259,096,200,231,320,761,362,
922,585,855,027,389,895,628,282,886,049,811,557,846,191,882,937,244,639,831,
308,220,316,595,402,339,843,569,456,480,372,765,747,302,926,826,162,866,785,
763,564,557,150,414,461,471,780,660,440,051,821,651,006,960,258,774,768,192,
313,085,262,538,152,390,834,638,832,709,677,100,773,590,501,815,475,504,828,
352,823,371,588,889,296,692,763,641,247,673,550,730,060,414,561,461,063,819,
397,564,612,158,464,015,807,088,684,171,556,981,181,179,871,305,837,070,492,
245,949,087,755,515,909,546,446,509,640,176,898,339,405,488,478,717,753,959,
445,260,765,738,264,287,121,082,183,808,568,725,080,342,123,304,117,284,578,
707,070,951,467,422,490,587,176,481,256,911,697,892,796,129,136,845,384,236,
517,225,611,153,773,347,272,625,847,237,122,827,559,462,918,015,817,323,162,
467,444,084,870,702,835,014,823,716,224,392,817,246,448,754,702,277,609,927,
851,229,484,426,295,577,112,633,145,308,923,680,516,300,362,399,793,678,699,
641,762,121,475,489,997,965,079,489,845,185,400,277,446,765,495,439,233,515,
170,381,722,252,701,172,386,318,232,916,572,847,156,943,846,575,389,567,550,
920,876,707,599,913,952,167,951,120,352,892,938,067,175,992,953,974,605,637,
221,464,176,645,717,641,724,747,589,605,436,321,128,894,484,196,982,950,786,
493,123,195,448,972,191,285,058,047,109,623,874,138,453,172,225,801,517,672,
109,483,496,444,977,044,371,257,195,479,715,122,913,017,366,257,038,995,317,
808,017,482,161,905,496,115,669,456,580,816,873,088,883,090,227,581,185,050,
671,262,041,608,030,825,437,685,871,712,800,356,318,557,138,287,169,263,215,
267,494,145,098,567,303,594,244,849,384,274,840,435,791,819,841,694,541,708,
518,656,450,743,715,432,902,083,345,589,239,932,245,524,935,709,714,835,292,
953,790,169,386,618,063,989,299,950,349,422,639,865,428,197,345,485,099,730,
022,728,657,550,941,111,758,176,993,985,399,175,684,705,250,797,326,889,621,
268,102,453,893,607,653,078,261,683,130,539,966,204,295,829,738,094,085,599,
180,937,780,224,961,451,222,206,760,330,216,871,621,794,327,131,855,566,229,
938,736,211,887,542,795,381,095,282,992,799,109,151,376,990,314,067,331,092,
780,379,529,844,253,468,450,984,832,132,619,967,836,919,939,430,889,635,017,
827,525,874,400,376,327,718,454,731,319,393,504,025,065,720,282,830,992,839,
221,740,682,272,916,814,283,772,836,920,332,664,947,099,804,931,374,793,922,
547,334,831,640,405,728,572,424,192,120,506,469,981,700,616,690,132,364,395,
841,259,440,300,740,141,632,812,323,969,443,257,590,992,125,239,799,478,983,
031,730,797,153,693,291,448,130,172,732,700,240,058,602,198,603,567,766,482,
542,709,978,332,667,233,598,326,432,962,042,232,854,406,789,142,071,854,824,
258,955,468,650,245,304,513,950,835,158,606,020,880,912,167,567,839,798,222,
646,616,265,599,158,878,476,525,219,878,116,840,028,486,907,732,613,886,061,
890,463,323,094,286,461,877,537,437,259,298,207,221,865,556,665,680,244,816,
029,086,944,115,022,913,790,965,292,173,175,349,093,814,498,539,832,800,897,
565,481,410,965,500,962,568,878,094,251,961,419,995,545,015,875,692,512,393,
761,859,101,354,879,263,984,922,448,321,123,916,983,807,073,947,797,333,242,
577,833,995,622,706,049,507,330,302,042,662,298,486,895,683,043,454,104,988,
312,878,657,799,652,186,711,942,693,070,490,109,572,935,193,622,962,010,761,
671,430,882,072,629,572,804,339,593,127,846,837,082,035,977,256,404,533,349,
553,232,175,870,339,428,358,035,099,949,073,577,080,466,582,714,531,805,931,
520,054,088,544,859,150,376,215,674,700,657,820,658,433,379,657,268,651,029,
598,573,395,966,965,687,216,609,698,828,361,628,010,334,428,675,002,789,197,
204,155,582,516,335,289,380,047,193,050,276,499,662,294,302,649,057,079,116,
713,975,399,717,471,143,146,949,074,056,315,425,748,347,179,129,909,971,625,
126,631,781,373,923,354,523,877,859,762,902,972,033,465,985,397,774,787,524,
593,443,924,637,093,257,264,216,710,361,387,248,433,134,228,053,357,591,245,
129,903,051,586,895,623,575,942,549,933,602,431,524,309,175,159,044,162,414,
275,533,188,776,669,555,665,293,225,844,116,578,189,784,565,300,449,888,322,
901,905,680,859,922,821,695,544,168,337,126,951,063,824,534,098,384,449,111,
987,032,544,304,438,042,050,087,866,820,727,597,445,961,240,027,531,352,809,
745,667,543,082,856,261,712,032,856,674,131,359,772,097,432,123,185,080,614,
124,693,091,446,859,233,249,169,505,393,800,793,028,303,951,991,533,999,585,
621,078,030,247,907,439,936,390,364,686,257,052,826,879,592,017,837,990,095,
524,121,229,377,529,630,199,762,617,660,652,264,462,624,543,182,339,256,531,
835,408,179,388,842,953,006,132,707,458,257,576,740,823,210,720,314,267,375,
411,945,591,818,794,126,944,741,154,867,749,472,663,972,736,136,143,077,420,
569,190,850,396,046,090,321,776,770,447,031,030,220,278,116,822,368,558,818,
640,425,090,063,687,218,377,445,882,156,361,423,227,466,973,671,611,088,444,
851,067,945,008,973,571,649,977,546,661,998,671,383,294,955,270,600,555,453,
165,911,182,901,960,699,144,051,334,474,600,218,104,294,301,013,322,871,007,
954,527,823,919,449,954,392,353,976,368,337,880,549,490,497,593,901,029,180,
577,515,534,506,172,491,941,545,804,787,475,995,246,519,321,423,123,775,126,
656,575,007,420,165,592,523,640,413,173,804,669,390,574,814,531,669,229,698,
163,223,404,608,276,660,644,083,913,951,053,889,481,503,774,230,281,309,563,
799,296,405,182,138,579,752,053,708,386,228,682,351,687,495,211,511,821,057,
886,001,689,424,493,900,233,196,787,437,006,770,162,262,077,296,365,142,312,
853,519,729,897,237,772,343,739,009,479,190,606,646,242,018,642,270,210,370,
934,580,855,294,027,623,832,285,953,741,676,161,202,827,881,360,810,789,750,
474,948,896,451,332,678,509,434,337,051,659,478,052,820,919,510,309,732,438,
523,678,114,083,512,447,965,092,656,590,457,533,766,765,702,304,672,757,930,
771,356,300,066,324,071,612,506,989,849,988,427,949,061,644,738,731,332,050,
304,237,990,248,928,054,274,084,919,983,900,940,889,548,061,002,180,529,899,
073,418,037,863,766,672,308,714,019,833,666,806,489,876,152,079,901,390,237,
485,685,893,284,732,447,366,252,792,602,052,755,203,968,711,297,218,558,053,
060,484,443,737,694,880,625,755,564,115,588,689,545,425,951,175,321,703,896,
372,087,622,810,164,342,476,692,525,896,226,574,213,259,654,000,013,670,157,
404,405,438,898,842,100,617,645,957,956,861,262,085,318,829,321,851,535,752,
267,418,146,685,538,587,759,761,457,627,642,098,695,775,260,434,640,010,771,
490,603,048,374,604,724,873,268,276,863,310,074,496,012,626,749,592,017,319,
488,697,915,647,446,385,732,824,684,858,046,903,177,186,973,536,435,279,048,
029,778,768,839,127,595,107,060,703,243,662,718,401,407,670,080,301,155,250,
113,230,650,754,568,267,012,063,489,309,111,656,773,922,558,097,483,856,045,
577,441,747,870,473,917,442,062,954,177,602,214,067,873,877,634,632,027,109,
636,951,038,511,805,247,420,786,557,680,264,855,238,363,733,030,356,196,103,
813,838,647,716,617,413,518,007,336,933,602,095,891,436,626,478,532,045,268,
854,010,785,532,317,966,932,174,450,321,642,198,545,467,610,197,599,438,951,
344,999,222,436,444,497,436,028,054,269,161,841,356,143,652,532,020,831,774,
075,128,308,037,748,189,106,915,010,773,876,899,032,541,640,540,733,113,979,
069,898,806,244,010,588,338,015,075,675,819,206,203,240,812,563,115,263,030,
687,758,604,183,455,630,735,868,149,136,823,818,386,740,462,865,166,573,789,
788,938,332,494,582,735,801,916,550,436,743,620,207,451,919,607,424,447,470,
432,498,236,943,643,539,379,437,370,647,213,542,646,423,001,309,807,966,973,
547,123,932,695,661,787,902,933,576,226,351,775,686,378,402,326,511,174,718,
904,265,928,386,659,511,331,866,080,978,346,871,270,475,235,770,543,930,408,
304,134,480,570,903,559,148,130,889,425,724,892,482,801,245,747,546,392,531,
199,985,121,140,714,939,538,027,164,235,096,182,332,793,955,684,412,822,824,
976,737,547,765,533,299,679,211,236,367,578,840,042,082,957,347,894,371,289,
605,825,182,601,778,617,056,939,768,608,315,007,728,563,860,334,626,174,088,
348,909,088,806,283,362,844,524,580,482,142,364,437,488,868,187,227,920,237,
894,437,106,877,809,868,611,745,505,224,655,818,180,127,557,291,895,793,113,
444,406,263,648,600,586,358,664,953,931,292,340,813,719,171,026,187,117,687,
543,467,058,822,543,425,103,881,272,569,961,343,915,507,862,126,140,379,919,
308,032,536,753,374,634,783,983,352,425,597,287,315,715,352,337,492,481,730,
874,783,764,743,247,494,698,399,932,101,301,773,472,754,120,766,131,557,914,
627,159,361,287,336,884,079,100,989,364,232,025,175,800,416,546,358,261,704,
166,754,396,666,824,857,261,013,420,708,629,292,566,367,678,298,282,589,295,
997,337,739,868,594,644,984,450,318,842,390,914,685,296,868,158,320,741,136,
503,487,873,846,086,667,314,181,718,211,063,693,409,299,511,078,103,195,516,
813,936,248,681,330,459,624,221,903,671,312,020,545,447,395,728,360,494,704,
767,251,581,130,046,553,072,696,502,263,538,230,148,516,553,741,222,578,154,
375,243,647,816,382,368,402,884,851,358,502,392,860,355,534,910,778,428,408,
676,755,967,116,721,668,559,370,217,853,597,677,052,677,097,018,932,372,700,
899,307,964,755,769,261,973,595,710,918,775,832,260,680,836,103,342,124,081,
692,874,530,922,617,205,704,858,364,233,117,451,520,070,481,722,673,110,341,
075,549,545,891,650,965,205,512,974,070,171,154,276,452,463,311,428,090,576,
218,971,347,008,846,154,641,318,537,603,210,442,022,398,892,796,440,002,299,
910,843,766,368,845,567,940,844,484,526,740,077,265,993,577,597,975,689,620,
729,706,850,189,385,146,653,988,508,993,221,990,157,073,095,960,310,245,492,
361,604,232,058,030,808,232,235,741,843,082,959,545,054,095,959,454,709,263,
750,667,617,668,073,283,594,255,392,459,152,632,183,145,546,495,153,071,209,
769,751,516,994,404,908,718,228,160,870,609,971,230,659,728,334,747,346,934,
728,400,212,139,427,653,620,538,093,435,273,063,513,289,264,161,637,834,226,
813,709,265,522,525,871,841,409,163,698,941,309,391,001,723,291,148,765,223,
938,177,688,563,305,932,408,552,344,186,834,813,443,730,841,176,313,514,334,
595,860,766,963,671,688,849,073,382,608,649,364,339,870,189,668,487,886,961,
224,093,103,499,046,101,622,486,802,348,524,194,938,426,298,283,414,189,421,
918,933,350,615,762,088,291,007,501,858,106,676,912,967,837,285,391,839,361,
953,547,642,729,807,719,795,370,665,480,414,564,419,366,727,331,759,002,459,
408,394,401,687,431,860,169,126,164,345,828,304,535,724,034,424,129,920,237,
437,217,792,331,752,081,284,676,511,597,652,851,231,962,039,253,299,190,302,
249,738,345,441,789,676,942,327,590,008,779,265,363,579,625,541,862,071,152,
645,444,420,180,680,860,828,733,543,701,064,163,806,469,244,604,119,938,512,
382,540,691,449,917,623,042,643,540,994,668,934,358,954,608,301,364,164,086,
582,982,919,227,135,400,759,746,499,902,099,387,331,033,451,422,173,350,750,
970,291,285,940,355,952,231,495,500,012,788,268,221,109,573,520,297,606,104,
573,860,597,445,985,840,348,914,290,938,958,350,479,238,838,807,991,504,189,
532,872,165,422,455,007,957,695,701,133,096,237,326,652,217,461,888,691,298,
974,011,191,002,443,442,281,225,064,137,316,793,261,078,585,090,251,043,376,
408,932,705,242,720,212,074,313,014,763,945,337,798,152,041,787,494,916,830,
928,769,945,745,965,394,832,412,933,035,613,997,814,373,178,427,422,497,183,
485,343,871,006,499,946,259,574,554,157,713,060,585,775,805,014,003,422,805,
806,364,446,864,053,834,586,454,817,653,180,454,520,437,261,996,889,604,975,
079,906,459,216,692,344,228,423,112,046,117,295,027,619,754,336,662,747,060,
894,884,422,371,873,081,126,378,556,257,645,310,269,504,639,691,500,713,148,
695,359,672,843,054,276,940,113,808,050,644,259,307,054,260,718,586,419,751,
386,129,883,555,703,111,309,534,621,232,426,156,118,003,787,221,886,742,842,
837,030,975,922,368,482,439,158,429,489,455,564,068,458,933,785,202,571,959,
955,908,863,750,340,058,793,463,865,493,262,525,558,038,620,827,920,364,934,
494,688,662,154,860,562,407,281,104,098,898,260,273,264,215,102,914,051,497,
143,237,084,705,705,778,054,794,030,983,628,762,919,566,397,222,813,253,802,
427,345,737,898,367,960,200,479,155,844,406,077,256,986,244,691,504,856,532,
341,543,692,396,353,238,806,344,603,767,990,839,265,922,227,326,718,936,211,
945,449,246,188,505,109,502,678,020,541,486,633,024,163,034,141,468,451,524,
384,960,885,356,026,209,982,227,705,510,927,042,500,961,309,083,245,065,440,
073,815,952,239,248,191,440,405,635,394,481,004,192,467,936,905,038,498,082,
865,601,383,666,711,885,184,384,124,543,279,235,033,403,369,896,828,308,927,
760,079,357,523,259,713,946,913,780,041,864,457,693,297,935,126,699,810,865,
721,175,037,386,595,657,965,022,844,732,938,453,668,668,954,235,806,642,228,
672,393,010,090,735,078,882,350,337,767,505,008,955,182,064,679,521,512,356,
369,023,366,640,160,087,428,606,640,374,889,532,559,426,340,391,058,603,542,
818,692,109,456,819,811,828,112,397,044,861,862,640,814,184,683,641,361,291,
877,457,873,256,144,861,631,154,575,188,997,529,095,084,922,406,772,037,293,
031,554,145,149,172,286,161,214,694,750,304,379,427,239,258,011,480,681,659,
650,087,229,280,688,397,899,434,866,839,502,364,648,556,190,591,357,077,191,
881,719,298,400,828,764,586,205,627,682,144,630,630,093,069,393,063,609,006,
990,552,578,087,377,227,733,233,478,058,783,808,979,732,663,761,955,385,244,
567,364,218,882,904,585,535,717,538,440,771,021,768,789,510,297,918,003,558,
622,047,152,286,490,649,463,322,590,640,555,268,842,274,687,569,376,091,546,
478,539,564,545,053,769,820,699,264,111,290,252,914,597,858,666,164,677,406,
501,449,546,436,747,436,859,473,392,420,540,885,728,482,175,546,508,935,625,
441,904,047,865,015,103,644,043,242,743,963,423,721,039,941,935,308,393,690,
111,481,836,886,656,821,733,548,945,017,976,438,842,363,318,766,211,844,498,
807,635,600,805,739,206,008,329,032,968,000,668,836,408,148,818,926,507,203,
787,414,912,969,561,312,442,647,386,089,359,789,485,873,048,094,588,277,519,
158,947,494,439,485,143,530,828,761,360,726,294,878,384,860,326,664,593,895,
198,790,496,894,561,179,258,447,178,264,732,815,617,237,595,421,152,478,097,
797,713,456,620,318,019,589,329,417,869,787,014,947,553,917,190,201,741,565,
110,711,146,496,359,325,963,089,280,767,776,859,712,817,030,943,819,455,936,
215,862,160,904,483,305,276,770,500,790,767,040,460,709,263,214,579,671,696,
982,881,032,511,164,636,794,377,113,150,489,520,480,332,002,877,742,641,361,
783,891,333,986,159,694,022,169,731,650,867,378,377,255,469,446,942,526,020,
519,954,699,715,125,751,995,142,659,547,318,233,532,219,272,530,542,265,931,
135,838,531,256,896,568,416,895,030,683,231,855,788,131,406,929,589,749,289,
425,378,985,840,323,789,151,733,175,310,285,767,502,304,349,274,753,894,330,
084,777,943,193,474,165,040,168,702,009,048,724,206,594,856,986,625,383,548,
051,336,318,875,633,795,682,971,495,928,740,887,172,404,499,634,457,991,782,
747,440,329,928,891,033,946,060,129,247,112,690,309,853,935,759,907,810,455,
927,465,115,354,840,438,239,762,703,381,246,117,478,416,300,106,653,201,285,
560,360,774,946,582,702,171,393,504,314,416,051,215,714,796,839,859,939,085,
299,001,857,090,391,104,523,654,356,491,972,629,737,450,872,959,969,566,005,
209,779,471,890,904,332,256,099,620,353,757,432,750,915,491,644,693,379,932,
276,736,093,735,021,997,744,620,884,489,883,842,168,063,415,820,643,042,728,
809,532,759,758,566,230,752,312,060,814,477,918,234,799,198,645,653,101,768,
094,963,484,180,457,193,699,033,967,878,992,526,250,419,743,370,290,117,403,
655,940,150,028,180,788,615,506,252,210,535,006,491,922,850,535,684,691,530,
437,023,448,880,650,974,581,332,102,877,870,364,953,777,836,531,550,840,137,
017,290,676,523,670,945,378,648,337,006,473,108,898,719,536,946,741,050,113,
371,625,178,880,048,662,370,623,035,806,674,295,814,665,825,522,487,498,677,
880,845,695,085,681,413,787,932,554,238,094,011,422,465,394,502,280,372,390,
549,743,320,331,039,454,583,851,095,067,159,378,377,877,323,426,408,227,330,
163,951,263,050,723,342,400,019,694,785,206,386,292,211,967,751,476,396,032,
555,953,729,931,857,051,348,854,208,954,970,388,951,177,341,595,493,873,475,
205,463,437,253,489,653,476,204,349,356,196,488,144,843,702,583,956,478,637,
357,816,508,114,687,076,627,616,189,229,679,056,731,763,049,259,094,313,629,
086,677,895,107,573,637,292,426,878,866,850,934,232,847,741,070,899,249,599,
381,617,518,303,747,156,330,121,848,598,800,222,835,559,375,107,265,562,532,
557,928,413,981,466,333,227,844,622,106,652,973,897,677,709,867,634,398,649,
923,301,908,099,010,833,864,400,521,708,666,294,499,644,080,747,444,662,470,
650,153,487,081,185,099,665,158,207,344,695,130,212,450,116,709,824,020,692,
392,327,311,945,522,251,715,423,624,474,804,240,777,456,133,698,810,235,494,
262,858,970,357,400,829,814,394,906,765,515,629,071,335,988,339,976,644,051,
704,515,809,552,890,579,393,490,952,876,616,198,243,807,818,529,997,569,177,
647,458,043,932,483,160,105,578,572,754,098,990,534,784,872,681,313,019,920,
017,315,469,025,934,911,591,835,012,249,229,780,982,027,550,402,052,157,538,
697,185,580,902,080,504,530,492,138,119,145,062,765,481,401,945,175,773,039,
484,405,044,939,405,285,528,687,539,945,708,282,274,173,649,486,937,649,848,
782,052,121,006,349,217,880,268,368,886,924,558,898,718,070,956,569,146,158,
809,072,353,728,546,654,013,126,060,716,857,248,261,143,973,626,489,746,031,
078,884,386,803,150,674,688,775,192,643,013,846,387,981,406,310,433,879,354,
181,580,062,624,067,023,601,580,498,138,775,325,093,623,985,416,210,785,462,
946,983,849,298,310,540,402,028,904,191,103,677,545,228,759,244,223,766,266,
446,605,595,940,222,533,368,086,660,182,139,600,398,041,841,769,365,607,057,
671,826,694,519,708,612,217,800,988,869,277,514,584,101,444,632,993,033,440,
519,848,253,367,571,277,189,244,898,015,349,775,079,417,791,705,918,862,022,
730,701,829,416,063,996,773,645,980,853,724,065,637,542,239,463,173,599,790,
930,988,603,675,312,274,151,140,780,735,963,332,270,982,412,209,161,659,604,
341,182,268,537,681,111,950,271,241,517,985,064,808,556,821,515,983,106,911,
391,982,691,976,492,711,038,105,020,111,000,388,578,221,828,304,493,874,396,
712,481,104,642,918,182,732,313,349,104,629,922,178,821,634,516,880,115,946,
489,923,317,842,620,539,704,658,326,849,112,646,301,727,578,920,495,491,382,
334,053,378,493,868,829,928,489,859,961,367,038,817,115,341,707,973,104,085,
189,950,414,844,397,894,472,564,987,947,145,341,285,584,331,931,652,233,631,
613,765,756,449,605,340,657,224,173,507,978,811,088,601,133,398,012,852,925,
264,380,529,337,725,323,227,842,809,558,925,060,476,926,249,785,021,492,771,
447,927,515,590,674,176,655,974,043,436,234,448,210,770,587,442,558,636,104,
646,825,585,399,717,949,769,643,697,959,418,648,828,594,799,711,051,128,432,
659,439,962,191,591,073,620,253,349,098,672,320,015,563,427,839,848,511,586,
756,977,604,884,534,901,264,054,022,763,351,367,865,782,106,525,032,211,036,
211,357,179,047,245,422,831,242,509,607,746,688,524,245,794,582,753,127,415,
676,873,456,333,900,824,666,765,507,963,363,170,188,701,494,903,300,967,241,
325,238,492,248,034,232,877,771,996,824,478,299,981,884,607,202,385,260,156,
744,562,050,129,638,037,619,930,600,854,621,804,250,536,321,497,379,858,145,
079,180,508,001,902,515,578,537,240,539,861,207,170,160,145,873,616,942,952,
655,370,347,085,728,506,119,504,337,003,075,447,338,117,246,837,075,265,038,
213,020,570,247,975,903,575,220,121,566,478,964,882,330,914,872,249,381,582,
116,885,467,804,885,244,316,487,916,687,319,905,817,808,569,877,393,229,525,
686,745,391,346,855,051,887,254,378,926,865,687,675,767,650,224,529,986,602,
657,681,827,848,704,979,631,765,062,372,256,766,023,307,397,453,991,852,253,
037,720,697,786,778,809,447,908,634,859,961,484,062,159,722,643,983,944,410,
246,998,070,087,138,839,224,597,912,675,626,908,514,668,616,620,671,999,341,
903,290,471,512,099,258,267,230,323,261,337,021,347,466,171,957,447,109,523,
345,818,903,092,317,452,137,945,920,144,598,716,215,709,319,579,958,363,751,
638,787,379,616,511,247,777,665,992,306,314,461,560,126,577,969,993,682,510,
802,735,006,253,634,992,050,898,788,199,549,226,990,898,298,141,992,455,030,
921,343,997,717,398,365,355,766,224,006,123,385,255,239,837,754,206,388,592,
416,437,155,934,847,639,284,244,556,560,574,201,398,575,837,411,893,538,917,
384,100,509,436,850,323,181,204,128,012,442,428,276,505,150,639,736,113,910,
817,666,533,518,260,266,150,422,124,455,100,839,751,439,093,893,062,873,810,
295,360,705,930,590,087,142,738,008,765,728,411,859,342,883,912,257,821,986,
804,821,171,249,369,757,306,631,071,949,648,741,939,022,408,307,778,468,825,
328,461,885,671,037,807,676,293,818,078,366,259,646,430,538,553,042,178,257,
691,993,095,866,443,659,686,880,681,839,400,145,327,107,848,207,441,449,536,
280,167,745,647,828,766,705,588,091,659,620,463,642,812,475,421,056,632,421,
460,032,481,976,109,849,998,587,783,844,181,759,633,940,562,453,096,550,824,
650,707,620,686,236,661,497,558,990,639,188,076,742,784,978,330,960,205,856,
403,525,729,166,709,122,320,568,033,192,819,590,944,079,434,068,194,312,778,
494,560,580,270,999,431,948,779,165,154,168,191,987,950,975,961,177,549,500,
682,241,805,901,918,554,853,173,490,556,519,502,180,680,090,786,938,312,703,
033,554,086,534,757,128,016,350,464,271,518,705,146,391,446,590,507,161,216,
123,314,756,999,378,897,982,946,507,675,244,911,398,150,001,770,780,860,517,
514,921,370,617,185,955,397,777,635,930,825,256,679,941,155,057,501,983,012,
099,336,887,984,891,123,733,228,880,898,612,008,183,671,249,170,337,179,662,
660,003,023,756,701,361,687,652,105,096,539,428,465,594,847,628,606,269,638,
201,158,599,220,165,869,745,726,700,471,190,213,028,205,343,931,309,171,100,
912,306,575,118,364,561,201,333,491,404,128,405,618,916,254,544,375,451,551,
961,209,516,608,209,934,168,154,269,096,633,658,730,617,840,420,668,027,530,
633,637,864,806,784,678,199,702,583,344,924,195,252,851,813,411,093,995,615,
470,806,592,494,306,062,474,816,359,387,809,382,292,787,954,534,772,310,904,
260,626,227,774,782,727,047,318,172,164,753,171,940,164,246,541,584,118,735,
261,790,824,731,555,660,669,481,708,754,317,832,625,500,774,587,952,910,912,
475,751,074,014,226,993,937,030,347,561,077,431,891,364,093,256,919,012,899,
311,149,152,807,750,293,155,453,381,412,237,830,319,191,669,425,140,621,245,
190,709,199,612,673,660,917,022,177,936,498,282,308,611,567,430,984,458,833,
850,495,387,383,322,661,115,810,484,705,160,024,491,987,663,812,859,179,320,
166,243,854,067,858,146,433,929,919,200,764,833,506,925,442,678,105,911,845,
377,188,046,178,711,792,545,571,429,142,434,252,778,033,728,087,405,022,497,
450,565,249,359,321,849,394,463,952,461,784,253,917,332,893,381,381,042,217,
338,312,173,334,556,655,409,133,420,700,222,389,405,812,171,301,638,950,917,
872,467,023,286,384,834,433,833,248,041,693,011,024,226,267,682,364,339,336,
029,060,947,821,486,329,425,348,809,273,778,844,279,890,113,939,555,045,876,
873,045,776,928,954,756,062,535,356,257,367,420,124,878,020,476,196,165,712,
174,407,395,366,869,698,805,564,590,035,586,886,650,639,018,539,670,440,885,
720,242,407,064,910,702,660,154,817,035,637,832,318,520,753,806,079,938,494,
378,118,994,060,447,960,595,634,755,670,701,854,242,920,073,724,474,883,386,
456,501,393,870,180,807,700,314,578,142,929,899,051,275,679,561,135,311,994,
401,654,563,989,414,057,217,476,278,956,087,253,586,578,564,511,185,808,150,
798,555,099,592,190,781,725,286,494,337,229,414,016,997,568,528,806,218,689,
642,151,626,995,031,841,220,166,179,250,749,909,757,523,090,898,407,018,723,
271,120,887,403,838,155,228,343,677,211,802,954,446,128,027,804,842,109,777,
165,413,139,619,142,571,204,453,615,355,079,406,099,352,231,366,674,238,841,
859,352,656,314,243,385,148,492,793,263,047,275,159,219,070,033,637,333,867,
469,856,378,660,784,636,322,035,350,272,902,466,443,405,535,240,235,653,527,
522,690,792,245,874,917,321,569,020,296,620,176,981,942,993,962,004,351,771,
184,038,197,619,926,735,751,757,439,107,131,778,269,783,017,522,170,565,906,
936,201,571,195,072,530,013,603,769,012,651,871,357,109,194,297,326,871,088,
656,513,058,502,381,466,086,060,938,920,957,881,167,741,017,279,229,880,392,
662,752,041,082,817,612,463,921,390,367,831,942,641,414,926,006,870,974,859,
366,398,124,855,283,449,620,488,123,265,627,150,907,851,815,189,231,189,684,
239,865,066,974,852,072,264,540,617,198,616,109,927,757,885,360,147,824,363,
500,243,381,009,268,539,503,100,158,336,956,033,137,365,161,630,666,133,261,
723,438,943,765,896,663,583,293,141,291,714,540,467,905,217,676,091,420,703,
902,550,328,546,834,154,143,463,768,292,036,750,726,216,228,135,410,297,860,
969,777,907,494,097,328,954,204,972,437,846,851,059,305,701,123,916,101,136,
653,357,390,503,854,692,500,272,323,329,340,530,286,233,698,480,892,429,792,
226,435,807,135,537,385,086,087,339,797,003,491,623,999,584,785,054,986,547,
660,648,888,866,081,053,306,082,586,389,384,563,651,734,863,349,451,278,477,
951,104,670,325,894,165,089,458,671,734,719,636,453,236,417,909,231,984,422,
643,226,018,264,776,131,759,160,566,242,040,059,397,431,615,008,044,758,045,
814,066,136,534,870,496,033,878,298,881,476,233,071,580,058,852,112,091,941,
384,072,064,133,078,160,776,356,234,060,807,384,663,734,891,191,894,934,783,
641,052,542,586,897,025,045,242,756,041,647,889,991,262,391,790,774,474,136,
986,062,736,439,417,941,479,985,082,678,718,134,305,277,907,261,934,016,173,
338,470,813,103,979,498,400,300,293,739,917,731,607,547,620,990,848,027,108,
380,990,304,630,386,904,662,358,561,834,862,532,512,296,771,725,265,937,135,
812,102,106,017,330,557,033,442,103,463,826,989,329,137,506,303,518,786,647,
689,109,660,773,152,272,626,389,371,363,014,037,021,044,045,378,852,273,180,
621,591,727,698,738,274,567,357,141,282,679,210,441,983,866,677,832,481,249,
554,540,039,975,786,772,514,445,385,990,664,255,667,070,081,514,633,480,101,
431,526,802,400,215,234,684,661,264,506,566,242,416,226,852,011,821,065,251,
389,315,338,136,015,468,123,982,651,838,507,445,489,005,093,257,981,667,859,
085,069,762,804,776,935,833,473,696,992,484,897,452,008,780,872,078,556,277,
561,257,853,879,650,059,880,729,126,963,004,606,384,193,294,721,604,181,080,
426,550,407,346,107,605,989,721,046,071,601,497,700,864,614,305,765,205,775,
887,896,453,601,210,470,195,258,146,332,652,350,060,798,802,673,905,761,277,
325,404,897,116,096,204,123,581,466,929,879,468,150,079,766,144,976,598,355,
480,350,595,154,505,943,756,299,288,939,750,821,931,565,682,171,519,103,036,
590,367,991,225,274,494,512,882,312,883,151,931,208,787,312,619,655,387,157,
132,501,826,277,054,856,187,603,051,831,061,279,063,519,813,410,120,233,555,
575,224,744,705,441,083,989,798,164,268,338,939,408,171,493,714,871,947,106,
166,274,954,481,617,479,005,980,121,989,937,948,820,823,183,269,535,016,471,
535,024,128,483,106,349,633,646,246,651,533,662,388,443,708,361,395,559,412,
781,834,999,737,339,577,127,710,841,214,646,577,129,353,883,396,567,973,287,
982,997,595,271,918,286,484,820,954,088,602,312,356,811,736,102,470,320,133,
490,556,693,748,516,666,121,615,563,809,888,168,262,115,475,267,078,065,260,
908,934,771,625,139,275,162,361,745,090,696,395,991,124,824,894,158,641,346,
755,466,407,871,311,284,413,034,464,246,313,705,007,630,989,591,761,854,752,
578,075,191,786,525,938,652,994,918,770,091,641,164,024,265,362,203,614,283,
433,932,070,811,358,376,848,013,817,725,250,692,881,918,412,579,465,220,251,
865,809,483,678,331,437,418,044,491,998,710,439,145,021,420,945,307,989,170,
039,406,756,675,107,347,391,117,364,290,920,345,911,607,615,996,312,670,836,
369,047,754,250,248,699,702,418,369,530,249,068,227,835,745,136,051,898,828,
778,537,834,385,524,279,511,983,769,364,640,328,020,392,466,589,553,813,322,
541,936,480,373,594,871,454,041,442,657,535,478,015,469,650,519,740,722,529,
151,379,885,793,134,990,299,229,058,013,986,124,185,601,399,005,653,878,001,
195,114,549,144,847,745,894,803,285,863,031,145,524,161,717,799,548,734,996,
933,686,722,586,173,074,570,212,335,786,290,356,606,559,407,588,487,161,355,
183,633,383,503,303,956,751,085,811,032,366,765,183,520,584,797,242,726,365,
023,064,858,696,825,284,304,422,616,426,527,979,278,456,584,997,384,365,125,
077,350,028,924,693,563,989,779,561,567,003,144,952,228,770,069,429,885,283,
482,944,620,908,312,538,101,247,492,749,721,369,707,569,387,268,456,630,885,
444,214,283,548,296,393,057,896,973,853,186,546,454,615,045,266,330,563,413,
451,789,210,949,576,910,283,520,908,881,652,174,053,734,355,172,978,762,592,
999,919,482,699,650,497,040,078,134,386,775,191,330,357,383,319,726,506,719,
705,165,269,131,044,457,649,634,405,475,512,166,598,482,298,183,517,340,080,
220,476,109,295,761,083,695,068,112,601,208,436,733,904,703,818,322,262,931,
887,329,978,335,789,601,064,341,685,574,763,514,144,526,122,468,138,696,362,
516,010,657,049,186,625,291,543,870,078,358,890,299,602,061,097,425,606,190,
632,825,651,842,735,891,341,028,194,160,696,639,628,057,682,548,052,710,164,
857,864,466,257,279,774,785,340,448,524,281,959,075,460,116,687,052,141,976,
210,126,330,857,377,207,364,033,739,542,068,448,189,855,034,178,980,774,178,
947,433,206,683,921,034,896,757,870,275,197,671,299,776,273,445,690,765,536,
300,292,441,296,801,797,104,590,249,678,086,109,407,715,310,239,708,968,549,
315,398,700,013,464,647,554,005,767,021,551,739,718,630,729,470,871,841,772,
052,233,426,674,048,647,448,472,854,458,761,484,444,447,209,568,258,346,090,
105,760,540,769,678,435,685,050,935,999,783,981,774,079,727,032,968,394,769,
453,494,308,489,923,373,383,037,559,788,401,429,630,863,257,284,880,280,704,
983,624,501,293,784,116,229,943,196,878,719,050,771,646,833,655,337,171,473,
721,724,497,256,956,262,995,459,807,756,023,651,455,384,821,507,565,445,752,
578,495,650,857,488,205,281,207,944,543,549,162,466,661,980,678,716,348,528,
098,027,078,543,711,637,437,514,351,500,482,190,444,672,746,629,873,873,677,
492,445,556,509,604,184,678,949,856,551,477,489,574,733,946,971,882,156,700,
129,173,412,399,661,959,542,230,693,630,298,527,367,663,456,976,312,136,068,
532,789,243,587,027,428,843,332,534,320,795,495,983,344,468,552,324,496,247,
114,561,836,806,375,136,802,308,883,896,056,004,045,504,568,659,184,323,472,
848,839,691,109,825,817,512,785,445,342,986,556,003,730,447,358,746,271,285,
255,586,530,745,940,469,212,181,626,269,310,202,758,935,462,363,025,283,982,
314,476,898,271,796,673,076,140,302,891,154,944,705,926,487,734,792,046,368,
673,617,553,156,397,213,786,757,434,761,625,470,595,503,687,470,711,182,342,
106,265,055,186,457,581,874,379,292,677,076,633,655,974,091,217,596,031,737,
883,831,298,598,755,761,181,030,213,905,460,984,356,205,890,772,015,793,916,
070,282,229,683,965,655,288,435,265,837,225,205,976,163,318,813,984,546,227,
207,134,087,990,826,633,586,813,411,134,614,378,342,920,833,614,026,719,231,
514,650,339,427,882,741,238,404,998,205,350,905,513,618,658,467,378,269,963,
506,029,966,973,684,318,138,799,032,069,726,195,899,167,122,105,011,389,706,
991,104,862,664,414,369,739,024,307,364,400,342,411,566,485,115,834,422,552,
066,755,795,190,555,263,253,573,674,051,456,373,284,502,326,040,100,739,325,
846,511,487,564,623,130,793,030,829,234,867,888,910,279,940,796,165,424,421,
955,826,473,034,223,859,067,375,679,549,601,797,363,765,915,143,362,769,208,
944,653,605,146,667,097,957,103,508,720,426,076,510,651,008,957,474,755,492,
282,340,114,274,150,618,782,808,315,195,628,948,896,219,930,989,991,235,871,
846,553,079,905,616,127,627,932,453,036,734,436,265,596,151,951,399,393,837,
129,937,367,153,651,365,821,226,166,316,860,067,044,691,598,034,725,103,413,
668,273,320,367,795,431,796,486,503,893,629,028,270,588,687,475,211,522,316,
310,563,011,843,320,294,160,844,776,305,573,379,204,736,915,724,729,670,696,
935,202,428,840,542,412,269,966,554,541,159,947,695,445,206,089,620,997,139,
255,750,246,006,423,560,027,043,176,328,553,083,778,192,694,046,488,117,139,
487,951,037,669,323,664,983,723,784,198,645,116,797,944,006,355,303,107,836,
975,461,810,319,575,543,950,998,889,287,961,077,129,890,763,063,777,299,953,
253,143,843,667,858,037,563,893,848,743,488,459,393,729,564,034,626,383,355,
724,507,442,766,717,605,343,679,339,710,162,937,865,747,949,287,740,323,478,
067,595,414,229,043,406,285,021,496,554,327,584,621,654,826,766,949,165,985,
701,333,359,220,408,469,193,325,940,736,027,705,875,059,342,026,004,771,828,
134,934,272,116,241,410,142,593,598,415,935,311,436,550,125,009,133,545,178,
611,425,371,004,963,798,371,773,299,739,048,912,708,467,195,850,533,814,088,
297,310,934,937,778,926,402,474,041,783,553,730,610,490,562,241,755,080,036,
530,875,702,982,267,134,839,050,005,492,542,019,936,861,567,265,457,780,937,
709,434,774,021,542,539,374,002,354,486,716,039,994,784,633,830,697,550,136,
350,774,924,833,914,971,536,393,603,911,020,679,013,188,237,085,139,076,692,
656,430,703,159,410,510,955,890,436,105,341,357,755,432,216,604,676,151,086,
988,264,088,412,239,530,520,727,385,614,581,941,733,845,951,471,559,113,682,
554,962,575,886,599,891,358,048,066,309,753,213,689,641,831,875,398,466,971,
248,046,589,178,515,239,206,850,596,723,334,395,987,365,009,988,037,690,401,
514,245,337,491,678,877,675,815,422,002,763,894,538,488,313,778,080,346,917,
807,811,043,027,086,691,172,348,309,369,621,610,426,881,018,723,100,685,899,
215,784,771,219,965,270,514,562,292,924,575,906,282,811,219,352,412,086,599,
312,352,430,103,088,668,146,986,857,542,968,588,048,764,005,415,884,258,408,
955,883,160,327,618,075,117,811,900,430,962,574,077,318,402,884,468,147,170,
147,475,561,390,409,882,889,858,324,641,151,776,223,099,548,181,566,992,469,
801,096,580,549,406,907,872,648,223,334,405,801,348,411,055,402,448,493,154,
135,029,974,301,332,536,129,852,016,814,069,382,970,375,295,187,244,599,734,
806,402,151,769,346,805,667,565,644,753,852,457,158,969,787,395,223,374,551,
859,289,678,898,282,159,418,081,142,237,961,339,270,669,719,470,849,464,925,
409,913,148,433,838,229,929,235,342,839,386,916,132,317,161,747,212,445,861,
432,960,570,853,882,659,532,764,544,069,424,138,898,735,204,089,810,966,950,
400,773,020,410,053,789,939,984,476,085,262,742,362,756,077,765,682,373,290,
900,168,650,809,821,988,261,402,716,270,139,986,211,179,868,894,779,856,630,
883,434,749,900,433,256,065,525,464,662,945,621,404,987,962,022,100,656,505,
820,569,000,735,489,575,832,428,016,030,137,668,927,182,109,984,445,890,439,
478,280,367,703,325,449,577,814,530,887,438,374,656,878,404,932,138,595,161,
781,463,005,914,155,406,311,486,697,650,929,765,172,678,296,146,916,802,709,
089,930,760,453,255,139,397,516,060,168,151,399,708,131,679,864,437,697,534,
254,948,703,909,415,066,940,227,264,725,573,050,634,917,205,394,545,194,836,
841,004,639,370,883,335,405,297,707,943,960,230,525,859,086,577,309,022,541,
253,926,093,740,670,670,254,356,990,537,537,104,029,160,404,676,103,234,236,
294,307,359,744,523,709,947,740,590,308,861,594,796,258,443,393,571,864,923,
290,506,886,283,386,533,918,987,423,622,546,139,272,646,660,946,626,887,151,
087,081,823,256,370,342,720,524,428,262,720,020,632,863,767,100,454,735,044,
231,440,477,759,698,241,668,378,688,402,273,632,060,766,135,238,314,528,066,
403,875,314,397,220,995,533,001,648,690,820,955,891,539,379,501,114,114,462,
604,748,665,921,998,551,295,232,107,761,982,481,340,325,591,004,594,815,119,
990,431,849,961,128,141,420,301,207,520,482,990,785,619,760,008,148,511,962,
944,892,412,840,779,659,702,586,422,765,070,503,679,404,051,918,035,296,046,
558,191,043,735,582,049,672,399,738,998,622,136,276,440,116,741,054,102,670,
377,174,992,883,285,461,693,468,406,270,859,223,794,802,068,429,414,611,125,
890,659,963,660,789,225,460,001,910,004,513,748,697,681,247,434,903,928,403,
588,423,084,877,457,315,760,653,506,872,154,002,768,788,976,008,975,352,174,
080,702,824,722,969,129,852,433,741,531,849,089,769,757,337,837,756,508,986,
941,156,852,561,506,141,598,466,239,888,817,716,345,923,474,537,353,934,473,
018,627,382,499,078,328,841,575,458,572,321,394,433,207,159,629,225,152,483,
755,741,385,875,008,774,917,718,977,178,391,931,678,986,055,164,708,036,643,
490,453,061,581,086,324,169,979,225,776,311,375,583,030,625,899,048,082,026,
740,282,305,247,891,294,925,074,204,915,781,301,847,497,489,857,534,456,694,
072,432,383,390,120,965,679,223,015,249,083,412,567,328,347,545,315,018,270,
280,651,104,987,316,432,029,683,858,432,991,327,911,740,116,728,275,816,715,
211,371,628,201,058,249,005,126,463,737,568,618,744,060,486,653,482,682,098,
727,327,175,644,399,863,724,844,481,969,506,199,055,826,315,780,585,891,638,
087,880,648,750,231,589,080,327,000,037,659,858,637,363,321,429,245,330,984,
296,066,006,210,330,637,311,449,978,781,130,171,974,655,395,582,773,241,472,
107,166,373,667,816,445,914,234,973,301,900,395,843,092,802,562,164,863,129,
508,811,755,668,392,615,786,749,918,144,345,495,621,634,185,070,641,412,909,
254,720,476,841,504,085,025,713,978,949,591,028,245,931,473,623,948,013,093,
806,234,365,508,981,064,890,087,910,955,939,031,792,092,179,894,210,713,298,
789,297,347,463,455,327,024,927,059,560,416,279,949,374,658,381,882,166,399,
444,624,695,289,881,255,607,041,805,609,065,460,396,854,419,658,802,094,151,
265,559,532,704,548,726,459,395,309,762,342,575,726,266,900,052,231,894,760,
653,026,038,872,143,634,357,790,868,735,617,317,457,900,453,074,830,988,988,
737,962,863,756,869,097,963,031,962,770,889,123,029,986,983,488,752,153,127,
131,917,426,922,619,125,096,780,639,000,216,049,580,909,605,159,755,728,717,
787,587,953,826,733,731,192,186,838,563,753,669,073,431,669,984,879,057,794,
121,837,924,218,065,114,376,974,991,208,986,697,491,411,565,431,114,202,533,
805,133,518,747,684,016,227,975,402,525,043,955,019,718,024,764,759,471,789,
130,276,904,734,153,985,076,593,707,650,060,127,274,185,618,519,137,053,563,
051,874,099,112,385,469,215,772,594,837,152,363,991,194,267,095,716,150,211,
321,944,297,146,873,149,211,981,476,287,962,256,727,323,899,213,429,338,972,
627,384,450,546,902,038,229,349,842,324,309,170,911,009,838,878,884,901,674,
440,096,451,111,780,238,698,172,947,237,131,898,626,023,090,768,021,177,118,
538,106,182,551,760,666,718,833,315,442,839,259,615,004,860,026,929,331,928,
995,546,342,260,795,906,303,279,979,009,318,015,360,833,152,282,262,911,650,
628,357,554,346,416,128,238,723,189,512,539,845,932,704,257,038,598,864,545,
018,194,478,810,196,112,886,234,102,126,612,157,983,430,956,432,798,128,554,
818,732,046,620,546,410,784,286,819,590,894,043,405,749,177,568,738,332,111,
529,665,836,676,247,683,502,176,701,064,778,670,450,384,695,391,877,897,534,
661,849,894,769,987,564,071,095,528,842,148,239,546,623,205,179,214,887,731,
650,258,604,703,372,993,331,881,502,261,205,776,763,376,954,283,434,742,577,
918,540,094,996,084,726,544,514,465,193,020,242,537,687,424,928,901,504,092,
954,813,574,470,104,859,259,369,943,015,942,861,568,036,897,439,229,914,656,
019,541,829,054,766,628,202,438,173,899,023,580,265,080,269,417,582,758,876,
426,882,452,146,173,915,769,373,988,518,150,013,967,866,927,206,898,362,413,
751,447,075,435,969,654,623,335,127,388,591,643,482,422,632,581,556,767,284,
351,577,868,111,277,276,088,040,651,189,994,649,217,056,132,240,075,161,950,
681,288,430,866,524,855,488,275,408,415,102,940,646,782,440,436,504,107,748,
755,682,727,241,162,350,956,318,263,045,075,705,768,353,203,832,145,537,634,
969,867,818,218,702,135,221,466,255,637,946,639,825,446,771,052,957,961,869,
483,214,860,194,698,667,906,273,691,545,519,206,895,954,181,176,914,944,629,
893,063,322,978,283,527,660,459,747,990,591,020,400,391,501,598,467,992,196,
762,168,400,274,106,468,124,103,191,497,260,878,498,213,384,389,611,644,120,
965,533,575,569,974,964,105,919,351,742,467,296,562,797,573,324,055,278,592,
949,182,778,936,786,735,312,855,725,560,057,477,064,304,795,516,007,729,900,
228,270,081,918,929,670,758,175,816,212,735,546,768,414,211,367,920,390,076,
182,933,700,070,771,420,734,264,101,857,777,034,149,603,924,125,396,989,978,
938,484,553,738,380,792,974,454,897,019,180,961,709,779,127,975,970,612,745,
523,656,533,239,480,610,470,521,059,452,098,017,165,090,061,027,054,807,169,
895,840,955,711,391,919,188,617,140,312,515,004,924,375,289,869,243,856,843,
502,730,513,316,692,676,564,300,415,482,124,065,770,430,455,879,883,196,256,
420,785,467,007,013,485,532,317,109,382,842,127,827,664,409,850,614,845,291,
859,244,217,824,682,847,312,098,883,771,269,088,006,930,789,076,534,503,041,
211,031,963,198,306,565,348,786,815,234,742,522,067,131,891,353,691,554,572,
627,369,528,413,435,984,312,751,084,696,384,297,164,022,655,400,702,087,059,
210,317,027,723,555,837,553,282,419,392,553,382,314,697,790,014,309,486,301,
020,874,092,193,542,942,908,529,230,884,494,676,576,563,871,974,009,479,753,
084,339,931,693,513,122,244,422,940,040,853,946,814,095,611,007,830,599,693,
509,878,480,138,930,478,532,530,711,259,644,111,186,640,778,118,407,542,102,
047,940,966,472,436,044,590,976,922,217,027,287,437,407,449,254,769,457,123,
407,872,422,899,399,772,928,941,408,410,896,339,571,959,457,452,642,171,151,
400,753,630,000,043,445,302,800,068,931,258,790,965,498,751,210,364,200,588,
160,331,262,923,801,254,587,327,337,007,246,722,206,584,370,091,721,619,122,
462,491,198,328,920,829,032,773,089,680,150,538,612,914,766,844,075,671,483,
819,562,016,928,512,165,152,893,954,473,428,314,946,126,344,020,251,803,458,
149,269,535,825,370,742,664,130,352,787,644,599,564,979,168,251,038,989,867,
967,077,640,077,624,112,338,631,559,864,199,864,565,939,671,637,488,992,913,
929,098,761,162,649,536,532,982,777,360,993,783,028,364,873,419,979,639,150,
393,387,479,302,683,802,920,352,769,072,851,431,502,517,067,851,427,354,967,
165,557,503,324,036,007,441,592,470,348,297,664,926,977,760,456,325,419,556,
169,139,750,846,727,684,409,375,047,322,429,954,843,416,710,475,364,291,087,
806,447,650,785,284,612,538,071,796,741,842,204,685,264,737,063,633,633,009,
153,155,788,912,291,588,488,643,810,168,440,136,763,374,270,111,654,118,465,
734,501,952,385,022,246,768,598,410,413,117,703,717,898,374,823,959,312,159,
060,755,162,162,788,442,405,100,763,042,506,374,676,260,474,748,547,389,188,
502,045,792,350,789,109,798,461,588,834,663,481,402,137,598,414,534,082,519,
926,351,855,298,698,354,938,094,925,487,766,555,510,136,073,398,148,902,334,
659,539,566,925,907,444,846,303,956,311,028,897,867,480,942,007,773,571,651,
404,779,755,611,643,164,982,108,111,395,733,669,844,519,993,222,359,965,276,
783,791,579,735,626,880,006,199,664,214,910,014,396,709,623,067,361,430,390,
180,868,629,265,703,588,076,110,604,312,078,633,151,882,978,173,927,713,746,
907,348,750,476,379,419,913,895,721,344,555,352,038,478,754,771,615,603,814,
614,656,187,814,492,408,455,234,564,425,916,850,628,788,420,409,062,937,449,
265,740,183,212,752,557,852,279,898,100,725,644,975,260,423,589,939,263,552,
572,431,621,664,165,386,697,094,245,014,386,971,498,988,913,552,093,927,173,
499,129,873,625,253,800,279,092,377,777,917,169,223,507,055,658,003,751,343,
210,490,143,708,702,111,750,971,748,423,544,347,099,624,556,415,717,801,198,
190,158,832,344,346,171,804,397,878,765,608,200,137,117,808,958,585,722,089,
763,996,473,538,726,356,025,677,316,824,818,879,635,996,547,038,677,621,928,
886,658,783,829,300,870,989,910,505,450,875,786,296,881,996,883,155,786,226,
949,278,219,050,190,851,917,428,449,300,210,124,160,815,265,144,047,603,556,
545,534,704,848,700,091,967,631,254,718,770,396,811,912,069,051,006,697,672,
541,719,849,359,182,455,973,644,290,756,792,501,011,029,005,016,286,701,726,
668,159,279,945,828,249,735,338,104,388,361,656,546,892,885,484,894,422,034,
936,106,011,629,882,853,553,693,705,785,728,423,889,143,029,556,131,264,477,
884,580,586,270,512,448,111,538,368,775,896,381,444,448,218,623,250,176,976,
969,012,296,793,303,099,827,244,666,351,731,559,619,051,207,261,972,053,208,
049,296,006,466,246,335,643,248,814,434,920,692,895,829,791,476,075,583,615,
090,531,548,595,810,460,529,119,658,322,542,243,750,456,805,954,004,812,287,
683,054,601,838,879,871,061,552,765,507,965,179,787,656,153,763,489,612,473,
607,940,107,934,694,128,825,966,628,643,936,144,020,933,988,892,775,861,040,
481,878,386,406,092,869,153,376,982,417,109,289,226,935,378,120,961,555,735,
980,537,422,628,449,054,511,719,327,009,145,405,088,779,351,162,747,779,469,
778,571,046,610,219,348,687,294,534,725,637,954,466,670,676,633,355,904,979,
613,012,944,270,576,658,879,150,313,764,442,312,534,126,313,747,064,362,102,
375,708,288,134,489,276,211,898,707,992,054,862,058,198,322,392,713,128,247,
547,144,111,545,796,607,642,743,751,551,561,317,192,581,680,155,305,904,564,
899,047,240,767,065,896,879,769,303,537,793,350,477,775,426,942,488,604,183,
761,407,382,867,871,706,831,247,266,419,750,061,798,952,989,904,542,613,570,
016,766,883,161,051,267,954,748,411,298,792,483,501,834,773,274,998,480,678,
696,818,003,088,047,959,274,229,956,121,497,456,115,525,268,504,301,880,102,
928,806,143,039,464,626,336,064,335,959,696,700,758,983,296,406,447,632,770,
653,992,289,092,866,723,694,443,976,499,386,461,911,826,800,851,988,762,809,
965,531,970,424,596,280,219,305,636,419,042,546,107,736,240,184,723,691,222,
930,506,643,143,839,860,094,408,964,731,703,912,651,785,756,840,978,854,338,
599,764,949,579,338,945,229,080,104,645,061,230,793,212,928,950,709,518,430,
726,962,721,139,964,539,181,723,455,544,501,322,454,139,044,539,086,801,478,
732,558,672,427,184,637,384,375,119,443,711,228,570,716,048,563,598,441,001,
876,088,734,624,259,781,434,065,835,985,794,321,514,285,133,266,735,779,484,
411,234,252,964,113,216,923,066,310,245,844,674,238,537,146,389,114,701,559,
544,531,172,668,473,006,514,087,669,034,470,868,747,216,515,649,632,164,706,
532,673,731,663,895,887,210,230,367,178,545,057,680,205,206,022,458,880,143,
599,253,097,639,606,011,182,157,816,054,044,688,476,417,652,831,965,755,916,
024,468,338,142,546,350,068,826,755,623,176,555,574,595,565,229,536,177,665,
412,105,312,743,521,887,186,416,046,902,055,142,117,601,128,207,111,364,452,
184,712,239,589,083,206,273,859,534,077,604,163,708,559,962,838,872,728,462,
125,108,218,851,774,740,341,079,954,506,443,470,525,354,926,704,155,935,970,
416,908,070,423,869,873,784,595,947,889,003,562,892,866,365,582,913,279,454,
449,568,070,964,878,803,528,403,520,445,609,644,322,192,677,104,581,340,316,
324,751,880,011,953,732,535,147,492,755,013,263,506,938,780,287,920,665,352,
114,518,347,447,178,508,627,196,305,291,330,662,658,139,463,252,091,614,091,
398,042,158,419,774,392,251,397,266,918,293,689,750,399,759,439,879,060,258,
309,495,886,033,533,523,231,557,941,351,054,717,572,526,453,130,829,435,875,
836,647,116,071,815,695,303,162,770,428,224,249,487,916,629,322,906,686,280,
720,048,037,912,241,835,449,120,383,986,214,208,652,266,053,154,001,561,623,
146,707,061,041,357,199,087,794,484,064,647,516,979,964,932,356,831,712,307,
046,588,973,378,479,313,329,397,116,959,042,221,818,264,545,373,760,253,144,
885,934,706,703,659,203,735,340,125,629,615,634,417,849,622,615,569,722,955,
493,279,499,115,593,193,308,898,930,784,175,576,560,359,631,505,686,474,330,
139,670,590,156,542,488,072,551,826,035,934,449,510,869,640,385,405,017,520,
220,152,828,670,267,784,938,517,140,121,957,361,405,327,856,552,141,271,634,
391,868,007,074,431,766,231,247,540,167,725,688,991,966,052,403,397,543,196,
636,706,651,610,318,977,653,354,489,663,228,498,766,990,911,068,809,647,374,
492,724,558,222,267,660,262,407,457,719,735,256,588,287,126,183,791,457,504,
398,606,314,846,719,868,878,285,542,456,775,685,956,372,619,147,929,860,179,
883,550,836,947,172,455,531,489,501,404,974,285,452,588,857,840,315,540,984,
878,228,213,442,027,783,752,194,467,594,442,469,851,536,832,414,268,103,734,
444,812,433,332,780,770,745,824,328,379,202,203,690,768,295,587,544,407,945,
725,179,318,151,426,390,460,156,061,114,470,014,376,038,811,135,204,466,235,
171,818,678,504,902,243,320,780,737,744,543,734,227,568,613,963,192,794,757,
632,943,780,496,365,532,571,390,881,488,448,490,364,761,029,598,941,192,411,
614,247,924,644,730,920,353,861,062,339,565,656,160,096,671,966,625,738,993,
652,823,449,244,407,400,550,505,804,034,255,837,112,819,297,871,602,777,101,
427,308,701,654,304,868,251,672,140,743,397,816,808,919,595,409,372,719,634,
666,253,611,813,806,407,285,705,523,220,994,480,849,104,135,498,239,163,419,
521,082,535,833,895,276,681,235,345,367,354,998,738,578,246,783,158,950,788,
489,965,043,117,094,716,925,269,907,037,864,860,068,833,410,933,797,189,182,
583,524,252,794,520,110,402,438,967,996,176,684,325,781,157,899,538,570,020,
893,727,525,593,812,709,387,944,629,108,656,229,941,827,879,792,901,038,628,
815,185,394,969,140,460,052,177,203,740,737,939,442,791,041,571,890,391,059,
177,779,544,449,060,938,002,766,897,338,317,615,912,941,674,901,673,324,008,
641,035,875,461,523,036,812,905,680,463,227,205,157,365,562,852,120,446,365,
908,651,275,654,619,596,400,468,042,850,240,452,765,318,948,386,974,598,123,
074,159,956,505,499,099,105,455,206,650,609,147,999,859,564,536,060,527,421,
295,763,249,374,468,258,560,717,250,638,729,998,509,257,374,928,192,004,609,
274,360,723,537,034,580,930,701,306,860,741,520,019,665,987,524,391,469,946,
428,853,290,635,181,385,714,135,084,320,903,065,619,174,920,718,530,536,827,
947,580,899,399,220,752,989,007,585,743,909,019,902,580,964,547,177,246,255,
507,594,869,146,307,618,007,755,933,235,205,395,099,346,820,603,701,320,746,
210,169,707,853,382,721,998,138,636,457,397,875,970,171,905,016,926,848,876,
358,395,316,319,403,427,730,445,464,887,068,685,673,521,802,904,381,931,171,
159,073,981,275,666,952,621,557,925,208,764,605,219,548,255,281,211,401,315,
514,092,399,800,383,095,592,934,436,118,949,279,743,735,700,101,943,719,588,
234,674,873,241,809,540,536,923,463,958,351,347,747,987,212,561,396,268,072,
176,060,834,037,243,736,993,973,584,175,022,195,001,869,412,224,961,188,398,
630,225,050,231,864,228,384,223,736,184,850,155,664,209,273,012,087,867,367,
343,854,215,458,096,448,256,322,723,777,355,768,368,375,203,913,485,658,855,
880,266,939,791,718,526,232,871,746,327,045,936,275,894,953,506,151,859,284,
555,524,373,197,017,959,727,062,116,392,621,113,014,806,634,335,453,692,601,
220,006,172,609,055,791,577,332,407,223,791,137,432,455,353,475,138,545,524,
028,021,712,887,437,694,629,367,238,255,717,586,203,517,454,399,074,795,631,
427,306,844,227,562,280,691,115,310,616,749,331,110,529,750,788,674,592,305,
485,775,012,081,127,400,280,914,343,060,240,095,778,001,801,512,481,032,264,
491,729,339,225,581,957,399,909,403,635,320,038,429,063,730,721,782,346,160,
341,165,145,235,099,640,007,858,517,100,517,164,085,300,789,348,909,311,559,
045,970,130,028,411,247,171,181,972,038,618,235,090,032,663,600,088,096,713,
853,154,443,594,278,332,470,419,426,384,194,627,858,456,163,990,885,698,415,
216,414,664,173,786,929,698,716,958,093,547,571,113,908,361,615,558,630,293,
067,058,107,838,366,476,242,207,617,223,000,935,241,866,999,953,602,625,670,
211,151,574,168,673,046,619,658,039,871,303,582,823,105,262,093,726,551,744,
102,706,290,010,221,701,973,529,850,184,003,653,058,997,935,646,710,145,688,
564,383,776,095,614,202,273,454,046,510,986,405,803,249,464,760,792,066,374,
222,543,832,134,808,574,566,813,480,764,392,637,723,662,275,485,390,666,483,
971,222,095,289,997,157,123,227,118,325,044,531,675,906,371,437,151,807,722,
001,862,993,078,559,376,055,801,998,291,276,795,211,855,803,335,581,684,664,
457,691,370,410,768,713,221,939,152,919,039,410,150,954,977,766,630,708,074,
138,524,464,165,373,169,550,559,749,936,179,611,023,717,870,514,922,919,391,
671,528,099,154,309,762,720,362,068,273,925,813,391,512,513,917,870,216,185,
479,173,296,653,474,263,435,769,947,665,989,602,938,879,084,661,367,112,729,
421,460,571,171,169,760,546,022,234,339,802,753,210,048,631,329,564,540,154,
015,972,233,852,674,775,502,935,601,108,495,685,513,103,481,620,604,532,356,
082,243,405,539,779,824,652,410,031,128,331,640,811,803,575,472,524,148,197,
112,851,937,920,463,784,396,760,423,364,723,921,243,635,688,808,451,096,549,
589,065,822,171,679,838,582,739,395,781,486,153,258,132,517,736,486,446,041,
276,410,406,968,008,124,595,083,287,825,321,699,189,684,415,338,965,090,953,
723,591,844,911,565,900,752,110,043,074,001,522,909,824,175,258,725,172,222,
984,664,337,542,883,441,521,012,961,263,862,522,964,556,500,303,642,159,219,
551,654,324,548,420,402,576,282,194,357,490,253,940,855,498,229,223,730,877,
645,254,117,631,019,104,528,847,323,944,895,410,143,270,079,399,077,845,721,
660,651,560,495,701,170,875,451,946,926,837,403,342,815,746,918,551,910,525,
340,141,614,828,215,642,585,313,124,994,305,843,842,354,687,448,778,661,252,
141,148,066,681,943,319,917,489,653,099,514,957,481,108,290,314,716,499,869,
405,831,225,202,505,669,219,536,422,995,042,163,835,710,457,919,519,740,567,
656,701,747,073,030,362,927,637,699,004,270,711,332,612,665,205,143,036,438,
186,649,472,172,490,019,065,211,398,468,747,999,685,690,378,202,269,135,131,
721,082,716,687,669,243,251,450,693,746,094,833,851,375,647,090,214,927,876,
760,182,558,312,685,830,363,748,040,027,773,020,580,171,170,785,442,533,041,
675,560,653,619,828,066,685,873,824,575,050,205,966,355,239,646,677,874,042,
157,450,457,047,114,725,523,520,467,982,098,517,280,610,845,022,160,020,199,
458,518,201,250,409,415,167,635,814,798,259,221,284,007,730,692,656,616,131,
733,333,641,585,730,046,485,984,715,379,793,744,724,233,598,883,744,787,143,
085,458,638,144,944,109,508,697,956,672,770,905,564,210,493,629,984,095,211,
984,647,647,310,565,819,544,930,587,845,500,089,132,790,056,772,136,828,938,
434,699,910,658,839,353,439,225,461,598,273,750,666,980,533,131,036,086,032,
417,926,259,569,687,276,635,054,548,047,241,738,329,325,765,878,110,168,895,
805,385,279,192,094,945,005,596,475,278,174,805,692,969,516,073,560,498,284,
491,670,828,623,707,047,713,314,289,594,334,818,762,974,043,330,287,468,994,
093,802,114,023,008,266,189,860,651,608,533,315,939,613,884,954,978,278,209,
081,285,757,663,321,743,948,429,925,151,558,123,342,836,902,050,022,210,093,
081,483,711,964,097,579,786,298,464,969,881,709,127,658,101,930,177,364,564,
802,931,704,260,286,342,603,135,465,767,212,293,228,549,414,449,302,531,438,
078,098,233,473,354,779,378,032,839,524,775,863,770,424,451,294,137,878,407,
337,335,561,509,060,853,569,828,610,495,991,181,944,091,941,834,881,140,216,
899,886,257,335,932,138,288,449,544,111,362,346,786,825,413,694,033,775,349,
720,459,713,456,764,326,174,522,268,794,750,589,924,359,451,515,250,618,126,
873,088,381,238,731,321,102,678,579,543,412,460,278,718,546,659,712,439,684,
619,801,799,064,289,349,526,217,757,473,974,628,321,823,021,684,423,330,227,
225,064,347,230,298,986,390,275,210,741,005,825,324,691,214,791,645,229,715,
194,997,340,786,664,766,275,654,852,990,014,167,097,556,471,077,152,958,878,
774,176,509,109,809,898,936,010,147,397,611,885,447,225,546,321,884,854,960,
945,904,704,228,339,346,220,832,789,635,192,440,905,766,998,047,996,077,803,
666,445,240,021,164,589,739,249,345,042,685,901,037,265,715,018,836,640,254,
225,244,865,942,704,180,124,879,323,831,296,114,394,296,321,228,754,861,364,
445,737,268,623,016,297,860,326,795,859,956,847,876,907,441,682,291,978,811,
864,000,143,788,058,582,441,165,878,527,431,729,612,493,845,656,624,009,394,
952,648,543,794,117,112,011,860,631,873,383,148,814,762,706,972,953,700,658,
652,612,214,424,620,415,840,559,175,647,814,355,814,430,781,770,885,507,466,
411,576,331,667,671,142,992,900,644,682,341,295,556,130,979,783,804,550,778,
040,422,134,666,853,829,665,942,351,494,795,039,042,746,752,935,495,943,244,
733,983,698,872,090,716,631,714,766,359,815,925,579,199,054,584,192,573,939,
280,593,076,999,350,227,843,872,283,674,572,453,073,136,414,984,397,269,903,
632,301,504,326,097,955,810,795,122,168,430,674,965,993,446,118,705,513,046,
071,333,483,761,803,639,867,362,003,786,380,008,931,079,561,761,108,357,287,
238,830,835,943,197,376,008,277,801,903,797,821,594,611,271,655,308,350,229,
003,473,207,156,843,953,733,670,621,810,490,074,531,612,540,289,493,327,951,
608,143,431,543,571,904,576,243,230,960,776,865,768,387,034,834,275,918,152,
479,478,460,102,113,435,124,762,403,958,351,619,139,444,192,068,512,512,498,
641,090,111,985,829,103,690,523,581,921,923,567,366,928,030,310,630,681,765,
462,916,306,884,910,676,199,222,567,410,633,611,076,139,795,200,454,460,131,
288,371,216,394,972,486,927,426,314,379,141,721,548,469,510,643,948,743,408,
088,208,751,436,156,950,522,117,749,522,441,793,682,450,066,710,399,134,968,
826,059,093,848,496,372,316,195,410,054,484,769,925,749,090,919,710,339,605,
165,152,401,711,882,016,243,897,539,342,569,041,973,862,054,985,170,602,872,
065,034,020,293,698,076,177,712,704,169,484,841,525,878,615,983,647,765,566,
579,931,216,356,169,867,872,157,941,691,348,137,750,484,002,706,832,918,916,
473,260,031,839,362,602,156,172,503,936,171,176,842,156,553,206,671,924,093,
059,645,046,685,105,525,482,182,415,981,147,673,506,195,585,609,553,370,578,
648,039,311,169,182,829,524,555,517,037,103,228,335,238,590,360,316,567,149,
288,422,139,978,144,721,508,318,033,394,278,881,714,268,670,597,195,709,379,
485,869,556,433,656,344,946,755,675,828,127,957,323,117,069,948,683,418,960,
967,226,180,758,757,187,266,172,622,925,090,971,980,122,804,037,463,245,152,
704,831,332,174,753,365,567,745,876,190,316,442,501,332,768,085,090,814,226,
564,462,707,499,939,466,104,436,792,751,652,135,296,627,962,809,089,475,410,
952,459,692,105,535,515,653,047,667,142,356,571,134,697,700,206,371,736,260,
674,077,104,072,029,383,830,696,634,150,520,811,666,632,715,431,279,079,863,
663,776,119,319,759,185,400,728,259,462,633,347,989,228,432,034,570,719,397,
046,928,815,850,255,059,389,318,215,989,727,971,975,579,439,137,853,018,201,
774,972,176,174,869,990,070,244,940,797,067,086,890,276,493,939,691,778,502,
400,146,678,350,257,286,901,241,496,838,198,663,443,133,562,824,699,192,241,
945,225,409,887,076,943,831,810,156,361,296,157,485,071,511,890,520,028,221,
169,494,656,824,890,156,780,827,590,411,942,553,887,736,590,234,146,077,293,
861,279,110,564,481,047,558,534,730,214,531,734,641,551,249,001,675,408,373,
545,215,497,409,469,123,554,094,455,261,703,480,243,115,988,618,943,555,207,
123,972,741,792,464,680,193,807,293,625,381,178,385,715,685,262,885,867,014,
361,847,514,910,981,925,098,054,167,791,726,646,495,990,141,189,318,028,268,
600,783,479,365,052,294,034,124,884,367,228,816,323,579,687,648,376,540,934,
156,241,337,120,508,679,048,854,312,316,957,679,686,398,418,718,916,762,671,
426,481,165,453,498,109,269,424,674,882,890,855,755,819,206,361,562,944,058,
724,271,449,842,330,461,946,077,184,503,359,859,217,850,630,163,033,347,713,
015,037,041,875,421,079,541,345,417,506,354,568,379,559,993,778,981,142,180,
410,077,565,813,254,630,676,736,689,512,526,788,040,362,416,385,396,401,729,
114,897,660,158,323,463,856,445,064,886,812,719,708,188,357,713,049,369,696,
315,785,297,017,923,814,176,732,939,731,295,047,760,725,419,825,960,448,206,
703,541,500,456,973,729,360,697,301,511,570,700,164,047,798,944,768,566,438,
234,402,529,803,357,529,526,087,046,765,897,192,075,753,409,148,573,808,697,
404,951,712,705,741,665,706,555,552,618,211,533,238,290,218,421,182,541,441,
212,425,999,910,496,778,852,941,094,242,712,511,269,920,981,570,985,570,870,
985,879,701,369,861,731,114,054,716,043,561,321,235,034,702,142,491,147,142,
203,770,963,957,941,394,327,466,690,077,926,443,762,072,534,141,818,076,833,
750,736,642,332,206,255,938,314,433,048,492,951,680,798,292,856,427,691,280,
943,596,806,479,218,274,911,150,779,865,660,322,714,864,606,146,401,180,874,
799,203,534,932,271,099,542,195,647,859,530,311,025,534,572,646,384,227,541,
250,716,531,697,476,959,542,293,468,895,796,899,592,907,184,496,159,465,740,
080,353,156,577,227,529,988,813,677,625,685,675,506,675,790,697,833,022,555,
783,993,680,088,492,950,104,650,573,410,198,707,643,521,879,923,195,954,753,
373,691,282,101,886,626,346,815,920,961,769,811,844,230,092,188,312,691,499,
194,205,311,596,848,423,277,147,637,722,505,053,634,859,009,128,129,537,986,
746,349,294,758,819,748,486,946,483,782,995,146,603,675,585,413,482,796,061,
211,577,395,579,680,292,494,431,523,329,931,546,189,568,244,180,630,988,114,
959,730,998,149,793,770,352,468,942,402,323,012,158,174,090,011,161,482,010,
913,284,120,204,800,852,100,608,700,681,226,741,578,127,318,563,743,435,181,
969,028,791,082,196,097,044,763,608,850,356,253,175,204,441,785,834,995,963,
274,965,009,716,768,383,045,228,997,025,601,088,743,167,459,998,446,405,491,
053,873,964,683,880,007,788,853,547,796,408,894,133,079,217,756,025,034,228,
687,252,512,666,749,474,457,746,695,947,413,474,302,548,280,020,962,284,476,
140,909,207,934,515,838,723,536,621,541,367,722,937,811,444,447,760,746,407,
648,003,299,890,243,452,000,332,205,190,957,177,542,352,598,561,183,011,851,
985,174,946,474,329,521,481,860,307,257,993,355,384,758,499,189,951,017,570,
178,103,614,696,232,670,790,851,355,055,780,824,091,774,203,572,528,667,519,
774,933,279,434,121,405,674,210,969,738,365,963,399,588,273,179,071,482,074,
947,327,427,999,573,010,421,121,402,130,789,281,829,467,225,332,870,337,899,
687,835,525,910,114,681,026,733,433,349,270,798,471,636,686,185,073,667,714,
568,429,616,817,475,787,486,066,944,630,427,894,497,095,144,368,768,906,095,
861,634,234,724,753,172,247,228,463,490,863,815,711,259,952,529,785,311,304,
969,609,556,329,856,416,413,854,262,331,865,438,551,203,037,411,314,917,891,
045,059,693,166,249,666,597,623,851,971,583,399,842,675,733,655,963,826,758,
873,112,055,644,005,259,687,668,679,418,775,265,462,137,051,248,268,620,945,
599,748,686,320,924,398,487,010,121,628,953,177,759,508,912,887,907,741,004,
406,237,569,410,150,837,433,568,028,474,315,096,752,838,328,972,458,901,195,
067,553,522,268,183,839,790,810,317,094,213,123,940,433,614,442,196,444,549,
641,458,378,109,447,031,362,815,651,259,944,881,842,334,964,648,661,537,666,
170,913,012,364,709,452,209,498,172,018,198,980,727,921,010,155,715,619,417,
323,233,509,205,333,609,597,473,656,017,233,350,627,745,414,624,482,977,197,
059,449,823,071,261,972,970,947,332,044,100,132,885,242,927,151,761,815,061,
838,534,578,114,309,662,774,367,991,518,281,959,887,942,785,962,067,073,914,
346,949,918,897,080,958,704,526,915,011,008,294,709,074,028,929,344,953,154,
098,192,540,851,096,154,280,022,218,869,492,771,580,518,425,569,030,213,838,
654,867,263,879,904,312,455,972,840,159,327,647,176,747,301,957,847,387,218,
944,580,729,890,453,191,458,491,641,446,444,724,283,276,379,567,830,122,877,
225,088,819,438,399,910,545,574,408,685,325,764,801,881,062,519,889,740,993,
610,429,978,865,277,802,757,986,371,524,367,478,934,329,111,836,942,254,318,
734,744,935,013,705,199,684,331,143,768,660,164,695,614,347,325,950,850,844,
725,644,621,005,717,322,873,222,845,102,958,170,668,049,372,654,885,368,542,
061,272,795,929,542,434,860,882,651,133,510,593,488,045,580,712,713,310,309,
657,223,498,472,823,193,148,906,794,749,655,714,594,322,287,122,686,874,669,
456,659,201,795,155,404,151,293,835,534,483,446,941,210,197,013,370,162,911,
930,875,494,356,905,815,370,925,210,197,767,555,858,004,600,658,888,039,484,
359,958,337,338,102,372,214,709,858,232,874,634,864,966,736,513,191,844,401,
115,033,570,137,666,997,616,339,864,574,349,967,544,679,234,081,993,619,133,
103,799,729,025,702,498,437,821,388,554,045,054,010,707,236,360,060,616,039,
007,406,948,143,000,481,498,311,548,345,598,460,877,385,617,092,939,737,954,
997,617,013,437,873,405,789,633,217,278,300,444,690,788,124,897,788,406,291,
016,937,823,070,836,576,649,832,418,776,274,793,663,911,743,905,834,715,129,
026,493,908,687,745,901,389,758,262,595,037,095,780,069,799,345,327,455,842,
213,252,643,172,374,651,070,825,706,510,504,982,687,511,409,032,143,960,021,
448,724,236,663,571,360,629,701,324,153,937,356,143,937,692,206,295,612,934,
127,536,514,930,281,673,222,760,374,000,451,106,474,635,012,597,153,112,094,
622,980,447,552,081,902,018,668,711,473,325,825,690,773,401,156,323,485,978,
899,757,914,828,455,725,583,839,765,427,309,426,830,202,770,990,470,622,554,
092,793,882,226,611,182,679,975,678,581,769,313,788,936,839,379,717,209,293,
181,844,753,553,539,439,551,616,944,847,697,781,070,777,837,082,075,232,804,
193,933,578,672,341,942,548,979,171,515,556,652,319,126,554,933,528,292,715,
749,371,679,182,939,073,175,249,066,990,243,584,940,836,423,281,354,294,586,
569,830,224,818,236,885,761,196,189,256,980,216,478,046,789,392,889,508,664,
956,336,339,613,189,643,362,898,549,971,634,946,629,458,912,495,598,396,294,
989,591,798,646,689,054,387,507,243,176,079,365,916,006,206,303,565,217,543,
024,698,283,180,866,777,029,256,467,057,130,963,209,096,479,344,286,360,808,
392,374,712,131,402,750,457,616,486,419,806,201,583,159,425,477,476,100,275,
217,731,978,860,597,989,075,925,081,388,303,108,091,263,068,853,423,359,959,
996,417,206,297,131,407,863,825,173,370,910,050,450,901,343,952,876,315,077,
904,815,562,031,831,267,401,911,003,150,627,907,445,306,588,236,408,947,252,
653,406,229,564,512,980,318,687,682,376,020,772,624,103,724,934,606,415,473,
902,946,566,012,919,203,026,977,678,985,034,179,740,862,662,910,369,169,452,
186,687,970,835,151,426,118,205,492,583,323,887,542,635,936,022,146,370,601,
431,360,499,303,113,822,544,929,191,754,829,676,248,138,573,418,011,397,386,
839,951,578,426,258,252,210,314,411,982,642,174,696,303,464,103,081,315,484,
531,685,957,557,095,926,192,727,802,658,401,002,194,395,753,481,866,134,886,
221,877,736,324,194,409,092,776,129,515,287,302,708,664,953,805,161,506,052,
533,285,853,632,017,369,147,289,214,060,657,934,043,762,091,655,506,743,700,
119,016,121,212,095,722,049,397,990,337,724,736,475,556,860,293,567,616,214,
016,107,035,284,264,911,041,298,573,121,870,502,181,878,982,705,191,580,319,
149,798,161,138,623,029,755,421,003,918,955,853,883,235,464,415,228,995,678,
756,543,512,380,444,254,951,065,895,524,820,332,549,015,821,758,149,575,159,
138,288,678,739,871,065,173,136,583,478,939,784,941,041,609,501,247,792,028,
825,407,329,608,960,971,503,969,639,762,173,806,436,966,060,214,966,069,113,
074,793,343,433,214,773,808,842,151,370,197,352,164,514,509,370,477,802,479,
184,509,801,432,004,179,768,365,184,812,754,594,120,316,694,140,579,076,472,
048,476,942,186,778,706,082,450,110,541,379,379,904,564,506,167,871,802,751,
169,738,799,376,081,844,491,422,130,029,994,259,088,764,356,015,145,786,890,
295,932,093,193,535,114,108,003,167,166,127,452,081,267,883,398,084,281,470,
930,011,138,826,880,413,046,892,466,911,508,570,373,454,179,295,831,617,074,
125,962,406,296,487,305,194,045,218,396,546,451,095,600,401,479,922,554,046,
990,138,958,408,451,515,887,643,062,328,635,457,741,791,938,629,928,454,785,
081,884,558,849,382,771,423,806,007,567,880,275,680,848,561,116,188,856,886,
265,387,792,009,660,862,048,460,802,429,782,065,557,076,951,742,310,992,574,
393,298,567,573,416,719,626,882,819,592,742,979,140,550,435,294,467,749,422,
328,104,548,289,258,013,248,323,936,608,325,943,953,997,161,125,244,773,446,
194,293,074,298,035,629,902,708,141,027,545,117,303,000,737,658,428,608,628,
385,124,121,385,824,593,203,109,940,010,950,952,751,157,935,897,838,991,324,
460,328,873,244,675,755,785,075,373,781,394,059,546,309,610,512,234,842,149,
208,108,597,360,740,183,354,511,269,317,613,734,970,724,703,428,276,075,750,
902,948,423,620,281,390,025,230,706,919,578,730,376,610,425,834,065,346,009,
782,466,853,315,726,455,279,997,131,660,319,694,081,933,017,413,158,210,433,
404,417,629,945,395,482,876,503,040,430,010,231,793,633,904,717,982,053,686,
450,097,180,174,362,879,340,325,156,398,677,365,383,029,285,491,266,577,919,
438,356,007,799,191,438,037,463,074,323,896,901,678,831,073,631,870,664,827,
044,679,864,880,061,777,133,499,116,025,714,335,861,107,252,783,312,318,075,
471,618,982,474,283,304,356,250,994,981,466,984,917,658,864,300,381,119,858,
133,441,891,956,871,377,993,135,774,164,022,874,449,929,969,733,766,451,897,
646,582,669,644,864,721,093,170,701,714,474,656,882,166,264,887,219,305,934,
685,460,263,205,351,381,211,756,795,223,730,907,319,085,416,719,301,957,301,
420,559,394,381,026,792,611,586,754,858,116,230,075,292,697,726,138,314,742,
989,663,615,372,919,223,097,217,612,569,548,234,162,277,673,295,434,011,239,
570,663,658,236,055,837,553,295,572,011,645,179,064,680,387,767,506,923,362,
980,505,813,869,670,554,410,064,833,203,649,411,634,769,411,913,809,439,904,
605,640,526,965,431,617,726,503,174,728,837,006,992,407,394,112,747,499,045,
968,805,330,926,795,139,052,842,456,499,722,334,428,038,761,099,367,182,538,
194,324,328,135,441,456,296,215,070,733,111,921,886,413,204,735,918,293,340,
946,380,051,217,883,223,968,491,396,989,121,672,727,463,293,799,638,053,704,
796,256,077,093,409,052,950,051,498,092,260,756,011,579,414,754,750,571,265,
727,035,819,163,139,912,874,208,623,644,009,769,182,273,543,563,390,345,344,
867,910,953,342,283,360,395,648,891,222,981,510,373,486,537,173,189,076,832,
883,003,439,212,891,093,425,254,570,144,165,909,542,268,845,617,014,960,611,
548,556,370,314,186,370,146,594,088,604,003,799,015,917,477,896,641,881,814,
820,599,405,550,780,964,253,367,343,770,494,923,104,700,523,287,586,937,101,
490,047,832,963,941,078,125,189,740,974,085,627,838,427,448,426,535,240,415,
266,741,383,253,431,213,954,073,645,271,163,192,727,577,371,846,058,799,868,
999,890,786,548,152,401,826,479,571,517,269,615,893,997,834,774,172,186,914,
595,259,591,448,252,943,400,890,997,529,662,116,264,627,010,560,377,277,809,
670,255,640,625,211,907,247,566,575,039,974,235,323,022,088,893,295,312,329,
128,263,896,659,653,128,013,566,055,160,807,598,009,739,213,414,065,498,281,
718,907,028,080,111,501,756,872,470,943,900,308,559,941,615,422,071,871,611,
013,871,104,360,785,701,728,453,778,760,438,173,111,144,600,644,874,889,188,
481,561,036,949,251,609,028,966,401,565,856,213,741,608,979,092,611,631,613,
741,725,314,103,727,224,384,698,428,105,709,916,489,996,635,518,595,311,411,
679,388,823,383,556,985,889,763,509,568,697,199,713,534,265,968,915,123,556,
518,425,055,525,581,430,690,886,785,890,701,021,213,515,999,974,627,800,646,
744,997,048,197,373,300,292,530,108,552,815,912,052,424,957,195,220,408,879,
087,638,548,887,267,249,340,160,236,585,401,204,640,332,335,783,811,790,735,
352,486,623,779,016,087,507,192,309,351,931,034,607,231,882,028,200,064,830,
687,588,873,497,253,628,218,219,392,167,371,537,616,995,412,262,695,543,347,
186,489,058,335,712,434,194,656,427,166,107,378,401,338,871,311,501,548,989,
483,115,018,989,334,521,870,617,713,782,785,387,460,111,859,998,747,034,528,
148,834,500,079,090,329,112,268,135,254,513,150,084,371,211,332,718,767,414,
713,257,019,978,164,720,704,591,033,022,933,678,041,616,618,322,013,994,333,
926,971,537,474,057,703,588,800,325,871,076,330,873,754,531,013,752,657,677,
863,375,850,953,208,857,841,669,132,787,718,322,032,248,214,994,386,927,617,
249,253,248,326,738,492,178,322,437,956,085,047,226,209,319,871,292,715,272,
076,434,512,002,513,819,072,259,966,891,776,901,478,723,537,053,576,038,304,
021,057,202,643,252,343,492,395,130,901,431,544,223,458,828,320,205,885,316,
387,079,664,879,150,684,797,379,131,961,913,091,331,961,710,110,397,319,275,
994,031,160,600,447,768,207,268,592,136,361,192,539,868,995,210,111,053,695,
605,322,779,713,753,342,247,941,275,241,369,287,018,097,736,558,256,360,631,
151,777,895,962,095,486,400,491,264,060,195,052,750,595,530,814,691,034,293,
792,136,854,201,251,462,397,656,966,233,327,477,648,892,654,216,235,537,336,
489,626,604,448,093,230,784,799,806,983,834,575,684,311,637,494,929,674,740,
225,601,876,867,722,231,647,760,141,458,572,238,076,026,356,417,149,599,340,
716,264,889,875,168,332,855,353,176,755,769,759,174,027,770,807,306,914,632,
590,063,474,792,354,841,148,580,926,374,279,533,760,958,890,916,558,417,626,
479,878,370,764,324,876,092,665,360,268,298,900,931,915,737,595,614,285,072,
327,523,882,376,389,316,633,641,598,961,287,571,503,222,842,998,360,755,371,
479,378,622,178,868,712,969,041,126,933,548,435,149,242,667,028,445,894,911,
607,642,753,636,478,564,511,995,085,090,566,595,525,015,171,947,032,444,890,
996,632,820,169,709,566,317,971,163,452,255,550,889,682,270,788,386,479,436,
975,246,051,651,509,652,360,776,909,134,779,028,375,201,461,450,337,848,407,
584,607,486,183,806,121,221,050,454,705,777,416,027,655,877,584,341,526,344,
808,828,127,841,076,057,188,814,616,433,209,443,286,894,474,562,067,679,290,
540,117,994,543,747,623,122,448,010,613,305,394,328,387,559,552,716,989,849,
707,664,952,619,535,564,120,934,174,724,880,861,236,392,070,806,996,035,011,
519,328,663,393,174,279,460,977,083,146,183,759,004,669,985,674,093,821,866,
602,656,766,257,467,782,019,250,352,415,270,479,735,388,879,623,076,602,655,
420,776,726,664,662,167,391,039,769,489,851,818,039,706,310,407,099,240,203,
144,631,702,625,272,959,968,697,313,419,748,381,310,000,021,872,966,806,621,
349,309,240,360,403,928,997,818,978,771,079,859,692,970,260,709,688,317,959,
840,472,242,428,248,540,699,097,018,175,635,733,336,383,795,610,020,504,192,
509,603,612,852,332,400,661,630,581,782,011,625,408,212,504,570,104,095,651,
140,051,389,151,397,099,716,109,546,631,726,482,169,254,473,333,000,825,380,
050,420,483,096,392,306,376,789,861,330,225,249,073,929,335,748,944,942,513,
728,171,221,486,443,028,752,819,658,823,744,786,362,480,026,109,387,864,732,
121,479,562,582,255,291,618,935,337,495,181,841,399,457,096,630,535,797,601,
451,549,993,319,304,047,792,006,674,020,603,973,775,972,617,678,716,981,904,
962,502,973,100,911,571,152,719,414,229,152,486,797,239,272,467,892,483,040,
968,940,669,240,908,068,325,615,631,076,444,341,403,219,031,067,590,251,143,
977,592,681,497,061,573,233,592,511,135,151,317,810,532,522,617,148,507,305,
635,057,468,983,369,815,937,082,461,730,194,423,097,943,405,817,835,776,572,
702,537,427,526,887,319,823,181,246,566,749,320,461,318,945,318,820,962,786,
026,483,855,755,027,960,651,126,927,760,958,898,544,702,858,450,484,654,377,
695,964,740,521,000,897,807,449,258,568,265,565,927,975,157,649,956,390,713,
868,047,716,615,764,787,330,447,262,397,531,193,526,143,260,088,397,154,998,
097,874,688,131,276,431,660,142,609,910,692,651,084,762,402,278,726,688,164,
889,073,834,135,781,376,881,335,694,985,040,224,200,912,375,283,070,854,699,
736,581,353,534,879,014,493,640,244,566,140,640,112,977,248,426,571,061,040,
197,768,974,535,515,147,300,497,887,684,415,572,680,041,608,790,602,278,409,
190,876,085,944,594,402,147,252,989,530,645,725,254,238,213,895,479,550,155,
245,605,945,777,174,027,803,243,404,530,523,800,523,793,663,066,633,434,406,
229,698,932,600,467,178,171,977,003,037,048,770,848,607,149,731,206,353,677,
667,832,969,971,661,097,283,039,054,012,171,940,773,122,012,029,051,896,189,
443,292,372,575,465,877,451,639,996,642,194,017,330,626,823,887,910,639,845,
364,281,564,132,871,333,238,101,105,012,329,964,773,722,148,779,711,085,240,
426,907,150,807,725,702,924,599,568,707,422,442,833,359,648,975,790,717,524,
446,974,401,852,694,177,549,561,751,943,655,971,517,022,865,461,929,376,330,
802,959,829,577,749,255,751,510,231,158,117,847,750,520,336,705,299,322,079,
439,661,901,147,039,350,854,906,671,567,216,246,713,195,282,231,624,406,169,
455,724,467,703,383,715,490,460,776,460,483,130,602,469,633,740,540,725,285,
883,498,757,480,342,567,926,207,593,649,193,694,407,151,939,776,420,272,990,
507,564,971,320,713,192,180,311,377,469,736,167,072,362,712,629,235,084,023,
021,628,272,584,139,795,934,395,067,614,480,624,087,691,952,677,549,222,751,
978,227,810,087,891,001,953,872,269,425,530,008,994,291,620,108,750,531,846,
014,809,997,033,026,219,284,470,446,123,614,349,225,375,372,947,812,985,757,
501,520,495,798,349,593,942,653,359,177,193,413,131,030,907,754,073,757,366,
788,608,850,437,684,323,788,195,432,890,551,420,682,561,547,801,997,970,197,
779,229,453,702,680,151,213,402,393,423,670,651,143,223,248,391,793,099,669,
266,683,624,230,444,819,061,181,374,778,710,421,224,375,650,087,170,068,374,
106,328,510,815,387,485,772,888,605,401,754,092,963,365,164,425,827,554,086,
922,239,879,305,627,794,736,327,784,037,322,547,537,325,661,666,951,952,933,
865,202,289,361,126,421,609,604,740,008,332,174,705,281,837,946,586,657,516,
801,437,694,503,398,810,180,370,778,810,843,054,473,170,440,630,582,268,383,
107,742,192,588,941,091,057,874,803,176,225,616,803,857,066,073,595,074,801,
485,495,658,372,247,434,939,899,962,497,280,054,248,948,472,623,969,351,874,
385,950,341,174,604,808,905,515,529,384,614,961,264,049,909,544,587,477,131,
165,768,057,326,471,730,827,357,094,527,458,797,433,695,839,036,230,110,269,
798,245,021,688,321,457,314,237,011,869,203,194,283,034,610,294,293,963,110,
186,916,766,645,662,113,023,455,340,464,330,138,604,999,819,850,901,944,737,
373,577,707,859,260,311,269,191,156,029,982,937,465,602,630,856,607,487,958,
395,393,656,572,289,997,141,294,921,069,089,344,275,846,992,444,924,350,511,
923,392,379,246,890,639,354,590,939,225,485,142,155,523,213,980,521,447,584,
939,306,682,864,573,429,341,141,842,813,215,293,540,664,682,717,347,727,696,
102,748,202,802,054,584,637,201,406,873,322,684,389,066,826,865,778,252,510,
032,350,020,662,605,037,861,550,511,959,616,231,794,640,289,385,559,971,422,
546,015,869,115,173,323,484,459,916,393,669,359,344,244,094,862,457,043,150,
269,596,471,651,151,584,650,826,846,147,451,212,384,569,691,278,586,632,673,
165,199,987,901,129,373,670,997,271,483,419,487,363,167,558,244,536,021,114,
746,688,774,218,576,343,325,707,353,495,622,261,123,180,780,615,952,276,180,
243,733,531,932,622,032,932,591,477,969,769,730,760,272,843,368,662,681,191,
548,849,083,824,193,746,206,577,220,342,382,279,644,861,445,377,712,531,214,
572,491,558,596,284,402,628,948,170,320,332,406,512,993,510,461,000,867,997,
990,952,220,466,788,515,120,033,290,078,613,173,332,777,288,526,078,952,954,
060,760,943,263,630,958,582,033,544,989,008,241,819,117,888,380,523,888,215,
113,372,218,682,887,503,269,266,190,833,891,587,900,643,500,524,231,358,354,
746,920,351,217,078,787,958,953,574,946,887,043,358,021,439,102,540,134,696,
683,558,850,072,964,562,579,770,004,661,790,277,596,446,774,077,899,566,138,
935,599,705,350,939,333,425,492,787,457,773,418,744,926,938,125,624,161,382,
972,852,447,455,016,571,975,156,683,138,936,819,115,138,234,738,780,692,211,
194,961,335,056,554,738,145,470,561,663,004,444,355,881,037,013,746,775,258,
645,649,987,828,398,035,386,823,273,760,229,932,541,968,637,781,006,151,009,
400,173,952,975,045,932,456,335,214,493,293,379,428,977,889,622,171,908,908,
536,904,683,876,395,644,652,270,642,385,957,909,056,842,041,732,236,233,144,
885,151,291,933,136,393,758,377,010,280,470,103,403,511,518,911,701,361,568,
109,093,183,744,904,480,930,049,692,578,780,272,660,333,391,510,029,305,257,
903,454,685,134,067,849,337,327,184,552,488,887,936,497,715,034,903,181,937,
734,154,204,385,376,373,000,208,848,726,685,803,160,756,574,891,971,331,818,
610,217,105,098,120,324,373,489,358,591,122,613,745,040,131,859,684,803,877,
876,273,147,975,495,759,672,794,776,684,621,281,473,187,808,738,851,987,575,
917,663,341,431,023,316,033,422,973,108,864,534,394,258,708,602,955,610,438,
915,525,718,021,035,965,230,483,467,640,770,516,820,238,604,297,642,685,169,
333,729,976,009,153,388,896,926,241,784,273,609,996,054,100,112,070,824,386,
566,379,478,734,432,268,383,942,338,543,155,780,960,149,002,379,893,192,016,
971,370,670,431,651,454,041,724,543,744,995,581,789,963,957,852,937,656,056,
928,121,985,037,343,203,169,763,971,728,374,954,132,808,485,591,085,137,140,
560,506,219,228,016,260,526,242,887,030,199,980,379,345,551,286,976,400,542,
235,014,325,306,334,714,195,775,445,429,210,908,285,536,287,336,615,220,566,
745,501,198,397,377,688,479,426,885,602,888,481,371,610,023,015,404,752,141,
770,019,511,415,391,539,623,330,416,685,254,908,838,556,659,144,145,617,110,
364,042,536,548,189,914,587,919,524,945,837,023,784,052,802,868,929,277,922,
835,391,219,969,710,342,197,553,315,094,009,161,208,484,979,722,217,741,227,
998,355,054,017,712,930,419,671,400,038,058,625,698,345,259,544,693,497,942,
326,557,538,095,836,777,107,616,427,672,406,726,192,234,484,939,653,162,209,
755,698,489,547,453,471,138,885,840,044,440,060,970,686,958,758,181,693,311,
696,643,992,738,021,939,536,778,707,115,491,906,982,387,556,665,050,671,290,
769,333,700,155,031,421,285,064,618,659,792,482,699,512,922,247,990,356,757,
773,865,309,904,145,630,694,737,714,109,191,303,281,249,871,297,367,579,025,
980,148,726,010,054,092,009,455,878,612,597,505,958,952,637,042,342,317,884,
597,791,931,998,321,390,453,743,216,032,282,691,588,151,738,318,808,981,338,
785,573,718,106,794,020,419,562,647,246,581,750,414,153,502,933,916,310,295,
338,608,234,802,244,892,538,927,496,336,743,068,860,650,789,167,973,288,405,
408,648,553,574,544,820,903,794,101,924,191,565,106,339,605,908,943,528,583,
705,963,884,033,666,793,254,909,486,930,128,794,836,877,276,978,725,931,559,
887,949,548,516,257,515,026,240,059,162,756,170,471,891,686,224,269,470,327,
703,055,117,833,216,128,458,280,995,766,001,268,759,750,631,018,211,895,544,
535,134,443,626,899,584,470,501,742,094,678,546,140,541,230,291,188,946,311,
825,339,469,163,282,277,021,454,754,194,077,715,754,615,233,893,291,266,947,
734,954,907,817,160,017,712,940,654,719,369,737,970,199,533,249,158,238,176,
652,809,877,320,524,552,250,219,988,596,806,121,972,832,860,516,591,718,636,
136,310,117,188,217,736,090,765,882,429,966,739,378,586,978,575,898,696,176,
254,917,564,981,558,571,712,293,590,139,283,769,094,958,569,837,663,076,935,
392,984,043,145,954,429,796,282,168,889,657,112,101,540,506,592,424,683,849,
699,466,892,283,945,680,776,474,082,577,802,664,657,197,133,378,374,423,044,
327,747,008,963,814,618,593,475,110,842,687,725,639,007,982,325,308,135,065,
829,276,884,693,404,127,067,252,572,424,899,590,891,579,419,749,436,414,203,
956,609,058,471,959,552,261,479,711,558,958,056,699,280,784,734,411,986,033,
330,868,462,196,836,374,982,496,487,837,177,372,840,443,370,570,436,039,874,
272,117,605,703,109,832,263,250,719,798,456,184,784,111,954,039,640,306,535,
273,255,345,121,437,467,434,991,219,326,999,344,973,173,134,661,795,647,165,
482,540,658,499,235,721,297,579,174,366,449,078,444,680,500,772,564,742,122,
552,708,655,891,567,878,977,405,219,765,697,811,440,389,433,470,618,624,337,
096,840,551,569,240,292,371,880,062,434,541,548,998,791,880,012,698,771,798,
201,735,125,899,154,834,539,447,586,872,425,702,833,858,768,348,980,718,121,
610,249,091,762,606,757,583,652,429,777,287,615,431,486,077,274,135,786,938,
716,576,426,621,587,637,313,152,964,963,714,368,820,235,660,340,213,087,870,
377,322,846,564,333,069,340,709,623,092,998,309,521,767,877,927,179,101,315,
227,026,636,715,425,376,186,458,786,694,021,113,079,833,740,387,498,333,928,
058,395,728,099,632,243,001,622,015,910,045,997,798,978,342,320,972,126,371,
662,447,078,819,816,913,704,216,278,870,612,920,089,058,069,353,386,257,511,
159,340,748,315,209,559,929,743,779,502,994,778,201,736,796,510,492,052,744,
130,546,548,467,051,190,422,843,865,641,039,298,032,430,700,448,042,446,336,
372,852,798,951,173,870,165,391,932,794,598,194,438,382,691,041,004,182,956,
027,904,647,214,065,917,158,371,841,923,953,167,256,177,840,530,525,902,746,
173,544,733,757,711,427,248,377,984,916,497,196,522,961,255,738,249,593,285,
003,149,158,721,599,204,017,403,057,161,538,967,058,752,468,714,088,224,922,
203,592,844,611,653,260,992,971,817,450,341,028,232,860,649,247,626,193,080,
369,061,754,347,912,436,952,460,305,782,431,545,237,509,116,170,050,868,075,
730,592,782,308,339,974,121,588,408,023,010,436,197,988,969,501,027,456,660,
975,005,438,812,383,141,335,982,880,362,018,866,867,077,088,723,684,943,800,
536,608,170,781,914,479,446,238,808,980,303,349,351,420,575,560,887,882,101,
977,309,069,492,874,571,628,953,927,222,046,419,437,462,392,504,689,300,790,
909,137,997,618,010,915,842,019,034,424,871,871,749,374,659,030,807,630,055,
373,780,523,817,090,957,199,307,698,260,051,781,256,501,477,254,463,975,411,
766,715,844,923,666,423,796,151,161,251,204,085,291,989,573,418,795,677,151,
829,513,570,493,698,604,365,297,272,662,486,968,838,017,843,980,763,137,450,
784,384,220,388,296,201,599,161,111,759,435,027,743,337,025,827,298,770,460,
988,796,665,074,235,712,738,040,369,782,955,885,356,413,521,826,527,198,500,
581,430,872,821,700,008,265,244,257,283,674,990,554,949,323,758,432,940,874,
038,545,480,142,206,139,878,891,253,274,505,033,980,956,655,583,999,786,075,
454,666,934,465,987,705,025,958,839,449,092,014,711,548,540,882,548,936,079,
690,730,208,864,295,682,906,985,181,895,054,547,323,089,896,362,127,179,690,
407,666,940,859,852,955,494,052,703,750,368,490,045,713,421,458,756,861,359,
766,433,072,193,810,523,518,978,534,819,943,884,662,218,449,733,090,521,753,
343,602,051,824,768,002,775,207,546,511,860,339,550,383,758,069,666,483,587,
702,221,322,599,046,593,531,625,966,147,363,606,669,974,723,499,095,763,580,
719,427,281,165,486,143,936,574,138,382,522,282,424,650,348,510,848,317,706,
038,582,314,737,088,786,494,112,052,361,430,925,718,206,534,750,142,104,459,
089,136,998,328,703,883,577,627,275,826,185,037,519,520,084,868,291,662,081,
391,672,636,859,737,884,432,585,616,548,514,557,725,150,913,299,256,367,520,
807,490,240,451,452,279,807,815,742,760,373,434,459,584,485,722,397,506,421,
708,168,861,444,083,726,845,538,653,255,688,052,039,872,197,618,665,550,231,
960,917,855,558,203,828,599,615,454,875,668,398,562,366,153,593,797,469,531,
637,031,670,339,515,811,352,190,275,245,184,841,014,114,112,217,920,189,865,
061,985,292,715,448,002,995,105,581,265,048,355,318,866,256,635,691,110,491,
767,198,609,574,820,122,094,490,273,145,043,773,445,745,616,464,954,437,217,
617,254,584,591,485,588,204,248,461,942,981,448,464,135,652,719,049,400,850,
403,424,149,889,452,504,041,994,842,885,440,856,119,602,822,081,852,555,371,
015,380,466,905,553,424,909,261,922,103,743,364,131,717,603,338,672,367,268,
863,301,068,232,296,369,671,894,215,908,892,437,147,985,433,356,002,067,459,
165,228,987,798,870,313,514,736,490,317,922,429,706,863,347,614,486,742,903,
678,219,105,822,862,341,346,903,071,833,472,710,264,522,721,424,422,842,906,
438,154,696,241,385,434,347,803,005,062,760,039,925,725,178,369,288,390,957,
959,915,681,235,972,889,384,517,161,295,505,752,499,310,480,940,002,488,386,
382,481,291,104,810,587,505,119,644,927,542,371,993,060,983,931,798,670,914,
848,275,407,622,053,477,231,928,578,424,730,880,763,947,927,009,639,927,865,
844,929,608,871,585,786,969,932,724,081,280,786,371,074,128,332,556,173,024,
902,804,199,826,690,476,252,038,544,273,096,787,926,863,946,171,645,338,802,
271,175,998,298,963,380,807,378,547,828,731,896,164,528,846,011,437,378,798,
085,715,477,596,024,577,938,136,575,277,890,804,134,222,682,618,914,318,187,
481,396,076,110,414,944,303,221,771,821,512,836,625,657,671,091,978,646,619,
145,605,037,635,203,312,235,956,919,157,546,292,885,098,559,713,819,102,121,
986,491,518,042,522,440,083,231,523,051,042,335,579,519,381,642,642,271,079,
645,607,008,816,606,896,938,174,380,958,941,541,352,007,253,493,583,451,030,
598,415,398,077,281,748,872,186,092,550,041,502,420,264,520,855,928,782,138,
272,623,133,735,985,975,497,168,482,183,976,869,753,984,667,497,572,011,712,
713,206,543,531,350,677,503,823,201,438,452,543,957,053,858,458,916,304,808,
767,723,484,437,337,879,862,660,359,408,843,490,282,359,938,413,928,047,581,
900,999,839,271,891,458,988,611,625,044,590,888,285,337,187,945,032,412,985,
813,803,500,423,382,360,684,203,021,429,566,371,822,582,608,518,983,718,301,
363,879,237,581,746,061,068,504,978,341,000,352,325,211,365,189,589,233,054,
574,599,987,381,852,999,180,728,211,160,333,720,250,339,931,941,837,853,290,
966,456,726,161,523,446,634,538,626,527,960,165,611,249,843,144,287,398,855,
387,995,106,765,242,254,180,787,120,371,462,854,990,193,269,001,014,587,432,
680,798,013,303,636,099,898,169,612,643,734,978,934,343,683,393,198,994,928,
230,505,079,867,089,663,296,909,814,734,753,240,798,310,020,530,400,963,108,
461,565,451,424,287,395,211,094,663,065,236,278,855,761,489,396,628,776,296,
670,892,282,667,594,875,004,700,749,420,211,721,029,281,236,932,798,383,484,
414,878,761,290,866,344,906,484,757,642,827,003,049,215,943,515,477,667,280,
039,277,793,561,059,181,240,887,198,049,431,815,505,229,640,586,197,623,212,
919,834,373,023,108,165,769,263,970,264,130,007,158,996,454,138,536,555,233,
838,341,512,847,962,807,641,842,147,861,770,589,680,456,123,372,234,768,238,
770,475,039,562,015,464,765,969,177,926,579,813,009,818,047,557,275,808,751,
293,045,293,771,291,866,012,690,152,089,808,171,301,513,249,269,848,274,181,
999,045,963,611,922,071,368,074,497,478,871,336,894,347,947,155,350,585,697,
936,893,257,260,313,871,159,325,301,322,185,706,365,948,366,769,027,722,861,
009,748,128,509,065,792,376,229,518,541,545,345,979,617,596,551,663,669,611,
144,839,629,266,008,305,541,604,109,614,966,268,421,114,328,469,228,533,854,
385,643,064,988,822,593,537,043,572,496,188,473,857,656,121,729,350,251,339,
465,322,652,012,440,459,792,149,727,032,042,383,189,025,465,322,814,892,923,
418,936,389,364,654,808,474,027,338,149,468,102,042,593,228,958,254,232,066,
159,195,874,803,068,248,573,241,198,672,375,145,205,379,851,215,033,751,124,
545,036,162,285,516,543,292,389,956,927,514,752,940,434,336,730,468,560,417,
824,843,458,771,451,200,371,977,126,222,559,108,309,569,117,719,793,390,524,
718,699,305,769,120,142,739,654,088,446,918,739,142,822,358,090,205,688,810,
725,380,214,788,431,384,974,741,592,515,883,882,576,885,955,300,530,730,764,
327,006,392,480,103,057,903,932,051,229,945,476,780,234,518,992,139,846,112,
730,922,175,243,075,832,694,923,849,201,681,602,090,178,231,915,365,704,170,
065,301,973,925,879,835,101,823,545,687,848,436,586,931,581,366,616,920,136,
598,940,435,166,504,010,541,429,826,809,473,419,476,112,208,038,771,973,040,
398,883,770,765,851,545,605,625,393,821,649,530,483,093,959,946,883,549,988,
357,464,956,627,530,600,892,085,584,251,930,427,387,006,791,137,369,611,163,
931,912,711,158,537,706,000,132,950,046,188,140,311,790,059,805,679,222,327,
539,603,181,444,031,307,014,439,785,857,358,413,517,837,775,727,816,187,855,
509,593,296,165,975,441,207,492,922,779,127,350,228,311,245,685,947,289,787,
127,866,919,982,729,332,653,469,089,934,350,725,030,340,586,019,130,993,225,
106,774,212,827,436,921,006,876,493,532,447,384,377,068,395,631,456,059,735,
641,315,605,717,023,313,822,338,444,160,097,255,676,632,508,626,591,373,398,
773,592,754,384,065,307,283,139,845,734,291,819,299,079,184,733,263,834,649,
080,072,128,275,985,293,389,665,124,985,255,794,090,210,635,419,573,241,587,
414,114,581,629,991,061,544,278,078,705,881,422,999,415,497,541,953,132,777,
750,083,189,895,369,665,354,035,756,117,739,706,928,765,586,842,480,009,810,
751,746,146,044,798,390,647,626,458,003,485,839,197,535,948,913,577,078,134,
255,558,235,644,035,800,268,126,268,444,519,738,256,940,042,767,723,085,363,
741,550,978,961,178,477,876,255,406,426,084,619,391,676,422,688,873,802,045,
242,398,960,343,382,236,071,841,554,720,892,327,049,860,482,748,752,267,276,
637,127,512,089,542,105,643,235,859,392,897,831,500,004,736,257,768,645,701,
871,120,610,401,583,114,294,156,519,034,015,764,925,344,216,267,247,225,891,
454,896,004,691,184,665,570,514,908,798,538,772,502,064,388,882,338,606,450,
207,805,602,784,886,612,369,751,768,475,507,429,825,053,304,150,634,368,184,
042,014,881,526,026,164,972,470,227,850,125,845,887,426,329,461,548,172,544,
236,660,369,694,635,150,461,341,826,964,296,236,130,761,942,285,974,170,446,
720,339,094,641,733,161,158,203,400,455,433,086,662,637,369,317,531,380,722,
707,305,343,457,867,114,621,440,617,889,228,528,418,691,628,079,925,840,062,
049,488,041,223,468,869,157,668,715,287,637,816,092,947,026,804,477,657,147,
969,838,268,927,988,535,025,107,691,602,141,755,103,812,788,026,662,595,090,
731,643,712,504,108,162,547,964,044,734,783,909,614,438,396,129,366,077,320,
682,840,269,723,313,430,149,971,670,018,134,528,572,881,482,541,933,050,868,
951,722,670,329,712,832,412,591,818,408,367,684,757,286,883,820,844,235,375,
299,779,048,474,700,463,593,128,713,313,807,532,039,598,404,315,975,518,658,
588,967,854,705,929,713,096,401,655,431,917,962,550,702,283,763,068,985,124,
870,118,061,221,548,990,904,810,833,228,519,127,742,138,578,139,799,040,010,
280,231,949,333,411,989,619,693,728,551,081,096,605,716,966,456,367,750,518,
159,602,930,810,639,473,149,982,850,799,502,081,862,772,113,892,688,802,758,
619,891,332,398,292,338,874,590,959,705,749,501,638,729,997,100,336,147,991,
725,062,408,385,181,011,816,941,993,083,040,573,173,692,611,010,425,865,929,
919,773,776,457,073,979,401,194,859,653,078,773,667,459,992,334,388,723,767,
477,816,104,058,201,720,121,482,457,628,041,141,248,661,490,461,270,449,284,
207,704,116,712,001,510,259,128,536,195,489,463,261,940,668,678,474,577,233,
494,608,265,358,293,229,648,386,637,878,367,140,748,809,090,208,016,227,214,
690,273,873,798,413,605,691,963,669,415,359,135,127,554,668,837,980,753,904,
012,581,656,472,754,070,953,744,200,849,688,828,114,356,357,519,310,000,649,
517,733,417,274,449,455,024,783,061,392,781,641,850,619,193,205,317,965,014,
792,718,782,349,576,458,832,224,533,020,617,364,177,744,867,627,270,327,826,
144,866,416,948,523,276,583,039,403,799,709,041,607,249,901,036,759,679,792,
487,815,622,518,993,304,980,809,072,351,483,312,116,802,696,123,980,129,084,
541,843,952,068,112,924,830,582,053,956,554,344,321,833,238,515,900,047,253,
956,387,795,724,769,148,693,645,096,706,911,499,685,501,699,560,629,033,856,
365,007,711,129,460,726,501,272,576,833,608,616,634,490,755,613,214,321,355,
137,957,501,420,720,292,766,228,694,454,648,696,381,837,162,080,239,142,892,
807,818,525,274,829,523,788,580,605,960,216,711,610,905,167,267,937,150,750,
031,922,231,669,212,256,097,821,098,028,384,846,349,073,646,094,146,687,524,
786,136,718,974,321,066,651,967,592,165,264,856,550,536,288,120,766,574,800,
018,570,232,055,998,017,108,668,604,114,826,803,643,265,759,226,444,765,705,
228,792,997,464,454,536,843,334,506,004,694,034,001,885,122,438,085,367,693,
988,414,952,700,752,238,861,634,001,647,174,577,180,755,659,156,655,158,779,
582,358,252,311,911,275,448,616,271,431,852,728,736,543,232,588,313,796,359,
175,769,430,711,406,947,104,097,236,473,992,406,304,278,225,536,434,062,388,
173,382,063,640,040,781,368,006,262,378,521,435,830,528,894,709,840,387,496,
754,278,583,945,937,923,702,523,222,322,658,544,550,786,218,016,921,129,434,
273,416,097,923,605,116,666,593,035,441,317,652,502,566,846,998,663,464,202,
359,517,562,336,698,275,039,890,844,884,849,380,190,520,594,870,700,908,819,
877,572,944,495,305,172,120,027,060,745,156,532,652,641,255,411,131,953,192,
743,935,470,523,579,358,639,654,290,611,368,486,945,298,960,971,683,836,589,
241,234,003,526,074,270,511,843,771,730,059,116,901,433,812,836,965,341,220,
527,350,326,912,979,929,929,125,293,054,551,424,663,357,227,740,562,685,272,
715,565,364,713,458,066,788,389,531,428,137,571,141,042,985,027,468,681,448,
119,350,352,308,182,031,631,308,826,910,066,406,476,216,045,992,931,025,468,
746,605,681,649,489,442,236,451,306,187,519,299,855,487,273,607,464,155,279,
733,145,985,423,559,295,595,477,611,030,450,876,713,288,768,262,988,083,091,
681,174,989,315,205,693,035,711,757,598,896,085,177,078,775,050,361,274,719,
801,060,950,243,397,283,561,874,055,873,299,078,444,819,941,694,016,825,464,
976,033,362,590,727,480,936,962,933,308,666,030,476,026,301,560,311,401,887,
836,359,323,290,546,145,240,973,870,071,926,807,130,267,074,718,746,136,299,
316,146,366,599,596,784,649,629,551,667,689,764,544,685,366,896,253,004,356,
139,910,024,568,563,308,092,515,574,731,609,298,965,041,042,417,793,131,942,
076,718,483,566,673,977,460,784,859,209,172,587,199,425,591,549,735,017,554,
853,075,932,875,206,400,476,244,854,238,585,484,960,185,589,628,867,957,367,
331,281,408,342,515,875,590,112,636,657,005,185,708,373,911,734,707,949,157,
881,142,463,090,989,826,411,482,248,555,116,338,547,079,379,639,428,765,358,
258,609,746,349,537,489,027,278,671,513,347,027,837,459,167,190,650,898,039,
939,696,607,107,541,435,937,479,715,392,343,027,175,164,347,925,499,501,703,
956,607,088,260,955,453,879,871,884,248,140,403,618,391,111,334,112,180,001,
442,081,689,762,518,158,422,274,241,812,316,825,836,794,694,017,967,270,123,
364,270,632,179,759,804,400,831,739,087,654,963,125,583,651,988,198,089,776,
044,976,740,070,724,192,599,051,555,262,406,905,862,511,236,851,567,047,879,
902,347,451,730,536,338,133,787,577,183,743,113,055,684,895,567,886,841,447,
483,322,416,829,509,005,132,268,968,420,512,890,521,869,720,206,919,935,455,
924,641,441,758,358,754,678,521,960,720,322,951,460,381,634,330,546,421,962,
089,797,784,156,615,869,350,431,934,471,138,056,667,687,168,842,484,754,852,
726,975,487,802,255,778,181,353,137,750,015,760,036,766,355,763,172,994,267,
465,944,700,255,555,551,214,578,992,964,722,407,452,588,464,148,688,934,611,
077,157,748,969,995,694,178,445,528,607,767,013,777,107,643,445,317,312,078,
409,821,730,880,329,749,233,900,773,886,922,583,448,744,525,034,468,824,106,
714,275,734,275,304,607,842,823,187,679,670,131,238,698,829,100,050,934,151,
537,038,578,150,469,141,758,849,339,507,098,716,799,093,641,166,403,128,069,
683,480,688,616,098,405,246,514,390,349,558,904,802,450,210,986,667,741,978,
939,918,427,565,493,029,394,973,288,867,868,357,719,229,309,077,299,679,786,
967,105,360,306,277,358,407,731,424,358,282,238,194,823,747,717,793,924,468,
523,022,161,037,205,555,566,890,428,509,115,988,175,559,678,620,685,520,555,
561,733,236,650,074,932,554,105,063,243,176,783,340,742,764,987,572,219,439,
838,818,366,372,021,994,238,441,965,684,793,742,294,860,248,826,555,403,364,
622,394,250,086,682,685,774,336,232,074,762,937,651,922,115,714,713,085,067,
752,429,253,818,190,603,673,731,414,074,947,509,726,198,094,393,367,205,810,
661,230,374,207,994,493,898,890,771,699,073,756,997,987,416,160,707,760,980,
624,763,561,123,354,349,278,587,657,175,803,723,920,953,409,238,479,161,714,
690,303,022,422,440,199,256,756,925,390,389,095,065,711,465,157,826,477,023,
473,443,292,645,853,644,438,237,297,088,425,772,345,938,169,881,271,072,285,
161,478,789,751,857,175,923,544,164,466,962,666,107,029,216,943,288,976,936,
496,547,892,300,637,166,865,704,306,680,474,252,177,703,530,595,487,700,897,
823,745,490,683,554,338,836,489,304,564,340,443,787,614,275,252,788,782,933,
051,690,469,310,341,818,308,708,858,165,215,823,418,057,806,802,401,682,907,
709,048,702,531,680,659,989,756,914,715,140,642,927,164,555,888,260,335,168,
574,651,154,532,047,498,099,422,573,902,821,689,970,407,042,391,550,016,938,
380,091,169,901,261,857,222,319,778,654,212,558,422,213,230,313,339,872,389,
742,514,956,365,724,903,743,292,170,913,144,970,007,109,528,694,481,129,885,
388,235,464,506,718,044,041,564,191,328,926,192,009,386,941,564,603,744,586,
890,879,392,414,865,514,636,481,820,901,158,273,111,403,436,369,024,950,471,
996,357,124,057,457,399,553,238,217,669,526,273,459,927,762,283,445,586,644,
172,475,391,918,649,235,543,153,788,134,560,772,223,588,310,411,693,339,804,
719,307,752,654,347,372,796,887,742,342,456,225,012,442,643,117,750,731,509,
576,924,747,415,857,438,868,848,536,461,558,751,336,147,613,262,265,880,013,
796,344,566,153,233,168,426,407,882,249,702,261,916,843,302,558,113,125,941,
270,512,662,317,695,584,203,457,684,840,116,896,606,173,273,252,361,740,829,
470,398,869,737,893,501,140,526,009,971,515,153,729,522,782,271,727,927,910,
586,468,317,618,313,705,523,319,133,847,339,935,879,265,370,292,527,548,706,
324,481,247,763,346,303,406,611,154,080,918,794,825,225,054,857,633,265,486,
298,174,870,260,619,573,940,713,857,507,005,969,303,642,783,177,570,900,850,
230,817,521,771,217,664,847,303,774,014,913,844,819,789,021,093,134,048,861,
016,136,692,495,107,273,828,813,802,275,274,485,617,461,708,166,022,067,377,
353,982,020,429,586,471,091,945,578,503,690,714,010,782,067,968,589,351,297,
363,435,235,469,573,547,047,997,082,285,689,825,179,142,959,966,385,345,733,
247,115,990,526,034,425,666,107,231,305,077,629,874,746,204,177,127,191,959,
296,526,450,595,878,609,381,953,136,866,281,828,652,206,758,360,821,176,620,
914,480,874,280,867,765,699,250,034,454,891,778,878,931,989,783,259,815,788,
310,698,610,218,734,328,081,566,690,353,763,165,072,125,923,810,579,315,934,
067,498,403,482,767,128,173,487,785,146,083,891,964,300,227,914,286,545,787,
971,426,985,480,004,737,263,385,389,342,756,701,284,748,381,010,041,728,808,
113,927,407,413,297,050,345,626,039,598,463,288,359,075,918,953,583,039,109,
518,443,774,300,119,634,485,574,337,283,890,159,902,244,071,012,300,646,907,
721,328,441,564,368,822,422,770,883,893,222,756,563,808,177,431,772,426,940,
147,955,417,998,144,315,800,217,687,442,223,971,336,384,054,898,377,878,819,
620,847,469,209,301,658,947,585,394,936,301,861,227,524,732,042,905,954,935,
949,375,515,455,807,836,731,790,085,374,413,059,371,197,299,920,803,837,691,
615,405,043,242,905,365,506,092,605,804,458,736,687,491,207,490,698,581,756,
762,731,980,126,825,773,936,253,798,669,674,822,968,439,338,973,127,129,576,
051,580,996,501,346,000,971,671,050,504,200,304,329,048,848,439,380,361,814,
039,672,005,898,858,522,577,756,612,255,743,072,075,623,076,000,335,197,682,
629,808,502,015,997,016,154,944,663,865,447,420,797,688,626,269,517,936,442,
247,813,570,630,149,901,611,828,139,813,311,619,654,846,777,554,553,264,614,
741,376,358,660,622,941,170,185,146,974,324,481,488,465,173,040,674,520,469,
184,109,667,111,990,420,200,544,288,781,888,074,207,013,187,253,421,855,216,
316,427,668,764,473,989,940,609,518,567,305,951,324,215,193,295,964,652,724,
003,813,944,725,798,511,294,746,379,008,927,562,047,169,807,335,502,257,457,
029,141,777,592,878,611,884,753,719,958,251,107,429,922,701,278,222,820,608,
395,216,123,105,221,468,858,379,988,250,717,585,837,603,223,823,604,304,584,
103,567,028,633,327,200,707,443,957,763,816,251,723,870,037,370,589,302,929,
936,855,756,267,976,616,316,967,624,607,893,926,547,245,925,249,660,832,786,
769,754,489,215,708,626,135,620,328,480,052,772,660,228,197,299,530,131,879,
109,047,985,705,795,943,166,987,338,409,743,902,792,174,391,875,530,919,384,
497,299,787,639,392,554,430,076,824,162,529,849,602,100,992,231,459,318,389,
811,934,040,147,967,183,353,105,483,722,775,208,303,481,529,273,382,494,562,
906,974,653,729,692,066,576,235,388,883,442,846,083,666,843,751,606,140,798,
162,087,182,342,468,544,918,230,721,229,775,145,569,356,633,675,265,996,518,
531,750,155,066,784,701,306,490,245,687,622,535,367,550,501,362,817,385,489,
889,810,094,180,733,365,610,285,633,907,743,821,213,332,681,217,155,596,482,
566,329,219,337,877,143,232,584,525,919,444,401,791,816,504,508,814,389,830,
133,006,566,677,816,132,864,309,500,796,098,258,741,577,708,550,948,244,198,
330,776,577,510,573,467,078,404,153,867,132,285,401,380,125,183,746,416,564,
404,667,748,366,873,091,901,639,432,238,079,096,642,692,256,465,814,388,413,
061,066,623,265,430,849,001,415,415,720,739,955,289,764,521,501,328,307,224,
750,182,452,988,804,935,721,294,084,756,060,694,721,720,743,487,462,518,461,
487,400,347,261,196,935,398,258,908,704,386,823,243,757,407,273,350,250,309,
389,219,398,195,418,181,480,297,469,599,755,074,986,254,692,124,934,741,964,
025,363,702,143,434,381,332,984,552,748,561,719,888,067,382,366,353,176,872,
299,554,656,493,847,826,121,410,890,477,749,824,061,062,218,934,149,463,346,
239,886,309,475,769,919,357,259,130,787,747,301,895,193,310,835,803,879,114,
448,269,241,512,700,352,634,526,453,713,310,099,282,832,809,963,903,163,172,
108,454,041,535,624,341,060,431,915,165,230,938,545,588,285,297,657,534,445,
257,586,507,560,786,774,927,433,833,909,894,964,474,403,107,284,911,200,862,
206,288,925,182,678,132,650,875,488,059,429,888,911,457,830,499,817,951,723,
688,207,952,268,174,280,216,019,577,269,121,458,115,444,754,189,370,336,107,
999,069,379,774,380,081,627,858,557,795,548,328,721,919,394,223,565,460,723,
015,973,408,755,870,268,670,387,408,289,634,472,105,403,046,118,253,440,407,
961,813,709,194,127,610,898,983,325,333,930,002,913,562,693,930,484,539,441,
098,098,155,268,238,914,984,620,334,792,078,898,090,278,078,498,785,056,021,
501,720,158,439,908,159,735,457,239,849,416,017,700,574,546,293,179,880,778,
085,481,744,527,348,528,641,134,141,948,404,970,018,901,700,173,657,946,087,
374,864,234,663,228,491,359,643,124,944,153,311,458,672,093,472,194,162,520,
439,468,442,917,667,267,980,888,095,979,585,184,669,505,881,916,609,407,048,
378,297,425,097,141,035,277,750,878,848,615,616,788,605,590,319,394,909,250,
404,970,813,151,022,224,381,327,056,318,617,170,653,820,882,079,626,158,007,
166,119,521,206,548,704,152,425,690,875,886,156,143,806,300,477,829,944,371,
027,695,427,799,511,365,333,744,730,859,680,117,122,220,365,468,252,574,509,
134,427,099,270,173,044,002,972,934,053,725,830,648,602,237,592,646,343,026,
438,674,828,577,640,768,881,114,254,171,518,189,339,985,332,920,473,575,213,
069,519,742,271,082,860,564,209,582,000,817,767,450,283,069,577,435,117,116,
774,558,302,250,158,689,888,817,667,254,680,761,580,021,410,534,796,457,969,
830,989,181,456,392,555,089,541,989,400,878,230,572,150,508,299,534,134,153,
447,042,520,640,466,265,367,944,136,223,158,254,889,564,066,513,897,485,468,
468,895,692,890,541,627,124,835,259,094,429,604,395,306,589,213,896,594,436,
538,576,487,321,155,836,390,823,463,477,412,207,825,641,492,984,576,102,675,
426,705,179,076,216,593,348,745,116,502,876,871,652,806,843,159,675,613,211,
513,127,028,379,788,992,363,409,538,166,380,870,082,123,804,601,798,859,803,
919,376,742,148,345,184,769,634,745,486,129,364,839,215,602,348,186,222,781,
088,663,098,648,419,026,438,775,925,936,742,950,942,292,017,328,728,666,500,
570,178,910,492,648,103,507,418,805,581,805,862,591,709,882,751,812,577,461,
368,015,817,874,478,000,572,647,985,059,698,978,101,188,887,440,306,080,465,
910,295,908,796,256,998,666,308,438,649,860,139,354,307,108,455,535,628,512,
390,144,091,339,554,798,725,002,412,339,567,239,713,419,457,216,800,187,669,
696,136,650,482,830,972,753,854,195,306,079,653,083,280,597,305,796,982,778,
732,212,388,788,220,105,790,868,992,463,524,042,393,661,745,433,373,965,194,
127,501,969,769,723,909,111,847,014,683,331,372,954,853,199,897,051,596,346,
679,420,423,134,100,852,134,738,395,720,887,730,055,612,273,144,423,255,361,
529,890,468,191,778,072,343,954,730,482,878,864,975,426,570,341,181,423,503,
686,436,351,842,848,534,610,509,272,775,163,165,370,783,104,210,333,033,833,
437,069,468,221,078,768,931,845,338,900,515,029,753,696,483,117,259,692,451,
348,354,539,290,378,272,940,035,881,666,801,102,519,877,245,283,741,359,073,
813,316,177,218,345,953,676,453,861,973,799,667,715,618,560,390,462,058,113,
213,212,556,982,754,008,607,326,848,608,481,859,222,475,513,538,657,482,768,
093,643,667,538,528,716,962,276,414,555,892,362,834,008,449,593,834,471,679,
446,966,751,939,058,949,395,060,256,201,035,274,987,350,196,071,246,589,310,
044,925,727,561,353,604,047,509,689,930,976,218,981,214,030,701,339,523,549,
734,052,893,333,102,656,098,471,355,406,185,752,084,468,459,932,634,244,863,
083,206,182,374,407,148,732,304,280,878,621,188,987,696,977,983,560,050,695,
919,739,172,865,113,146,718,547,159,374,924,710,747,218,361,017,368,169,637,
808,590,284,366,731,301,291,111,614,538,087,313,429,248,476,469,968,232,668,
457,799,565,159,574,063,349,447,073,020,641,178,307,540,900,662,642,946,874,
339,063,497,596,185,457,582,853,341,620,520,072,978,078,045,474,969,757,946,
653,814,039,588,528,209,111,916,244,351,986,422,396,750,579,362,464,000,066,
301,733,613,084,837,145,460,493,354,208,535,016,685,936,252,877,162,409,650,
146,922,760,119,377,648,245,717,701,817,094,426,690,511,845,314,638,762,557,
810,473,547,304,810,209,316,991,901,491,499,835,200,922,940,422,906,151,366,
588,737,934,668,929,244,165,013,840,201,948,868,720,044,878,771,555,465,870,
795,432,081,971,690,505,208,704,460,741,909,068,890,371,733,885,972,800,727,
180,274,879,426,860,182,410,033,820,937,735,151,927,595,591,930,694,644,277,
557,994,613,006,315,287,280,177,936,304,437,989,593,454,359,005,370,131,563,
335,810,175,364,863,505,255,191,096,250,996,007,367,086,778,015,591,534,764,
950,614,567,449,788,864,093,114,096,032,729,160,996,632,702,692,914,935,297,
591,589,650,021,354,067,368,475,850,556,655,239,199,192,908,373,490,508,916,
165,923,675,004,848,282,557,381,517,500,010,978,324,518,948,891,036,140,568,
670,236,551,543,990,091,332,067,198,590,269,463,871,342,063,668,418,152,172,
510,824,653,418,555,918,283,766,935,171,804,533,165,045,143,361,647,283,975,
106,465,295,647,828,923,309,542,794,391,875,727,884,020,900,953,568,444,519,
220,916,416,011,776,737,666,244,339,097,221,539,934,203,352,509,851,261,329,
230,967,558,353,136,130,402,579,891,383,632,909,668,721,523,847,967,263,091,
897,410,424,355,928,048,629,333,682,159,628,962,753,683,293,095,790,851,820,
999,536,022,469,527,898,944,855,600,404,828,762,965,941,710,366,228,036,537,
482,047,539,343,694,712,422,844,534,014,507,614,577,443,975,717,036,413,849,
415,001,646,788,600,542,950,291,420,619,304,088,797,959,850,479,533,567,422,
394,578,953,718,604,367,707,504,438,751,538,445,235,986,239,317,613,808,572,
340,018,053,977,900,333,275,607,972,565,974,392,591,007,573,023,190,237,818,
891,353,317,198,224,592,869,485,744,315,899,048,330,039,680,879,564,812,036,
776,875,775,410,966,590,239,748,079,702,781,287,815,436,753,341,127,272,826,
353,376,476,427,281,361,063,451,781,400,467,549,464,170,742,945,802,529,761,
401,343,240,243,082,911,003,295,405,868,264,684,944,951,181,281,173,922,355,
208,537,788,470,993,370,689,152,381,518,375,212,144,501,969,090,281,579,852,
379,423,487,030,510,582,577,262,647,882,726,658,082,915,985,565,543,644,891,
596,107,762,412,356,441,212,142,917,702,140,613,290,021,310,986,574,192,006,
700,874,962,330,675,497,743,722,450,955,540,187,627,821,017,633,184,119,416,
117,210,236,498,861,014,840,551,488,873,088,860,281,573,037,446,300,477,322,
897,414,133,483,968,814,436,789,968,971,491,384,462,067,472,508,175,401,421,
556,396,292,397,368,442,300,957,656,699,525,602,118,281,109,545,508,945,848,
796,027,166,308,771,271,706,722,620,192,915,831,386,079,696,814,300,908,128,
266,475,534,359,038,310,939,122,286,292,391,957,632,402,834,846,043,751,662,
246,313,842,416,278,166,106,240,076,030,631,808,556,280,419,546,161,957,920,
818,723,514,599,304,656,166,308,897,257,203,919,951,915,744,939,901,755,094,
011,069,451,673,752,344,642,365,568,964,638,623,693,797,145,324,165,610,499,
778,157,895,675,247,766,458,222,991,460,095,093,880,161,667,590,883,582,057,
839,601,069,238,621,140,723,626,292,778,259,791,849,884,260,497,234,704,571,
939,820,602,736,343,367,971,608,497,366,021,558,678,482,717,843,927,079,918,
728,805,058,220,123,172,766,980,325,334,123,787,615,438,954,301,576,381,276,
891,160,245,209,414,844,433,311,532,691,573,537,643,192,549,163,313,767,765,
519,260,452,720,136,526,483,301,590,857,662,474,713,581,738,117,847,447,865,
353,886,621,279,280,728,596,812,790,257,199,454,180,009,603,048,380,461,921,
031,542,461,772,403,369,386,112,042,520,505,317,322,814,737,946,241,160,337,
851,173,370,561,594,897,759,974,392,110,266,611,493,925,784,495,571,305,744,
917,438,345,099,780,956,598,087,287,815,290,432,924,968,551,932,623,538,120,
477,308,777,547,926,112,423,945,588,727,581,747,579,235,825,083,552,723,006,
521,359,600,663,500,036,235,224,427,959,963,950,845,049,508,190,754,019,884,
050,151,436,450,878,171,476,401,777,164,592,670,339,525,024,148,224,257,910,
749,578,123,721,352,820,645,268,977,162,941,289,043,177,216,635,833,998,327,
293,884,482,466,108,187,512,441,446,978,223,941,162,909,426,066,331,740,623,
191,861,832,389,305,342,680,629,086,693,648,054,165,294,938,722,755,346,007,
361,360,739,831,840,820,138,045,124,824,841,461,418,054,100,253,246,390,253,
789,046,733,383,648,885,805,706,089,537,227,469,962,671,287,424,437,173,398,
696,001,704,020,384,193,196,486,502,862,771,165,159,177,719,914,135,458,869,
092,355,614,286,182,003,612,087,225,955,408,837,785,140,813,246,793,721,600,
720,148,723,424,029,340,907,202,424,220,324,012,421,797,657,505,685,130,257,
595,098,488,152,779,271,816,492,859,227,203,689,997,681,715,348,545,524,264,
147,645,875,034,443,031,168,161,866,202,112,746,287,951,148,839,560,232,811,
382,810,512,881,848,644,282,453,943,076,510,537,417,708,023,923,156,184,454,
618,133,806,978,543,804,134,463,070,480,996,129,135,434,317,883,594,760,415,
169,194,670,529,945,478,285,097,189,125,569,311,691,683,929,169,961,391,304,
661,276,746,421,369,006,355,237,254,394,999,434,863,828,037,567,769,369,846,
794,084,340,573,241,997,391,310,650,861,026,670,995,658,301,631,123,142,896,
705,333,826,810,034,357,037,236,902,966,728,447,517,628,791,809,100,450,153,
125,607,369,304,516,524,697,765,902,449,115,962,876,093,919,375,530,606,455,
021,355,680,927,712,746,251,724,256,233,993,612,707,043,454,081,988,653,840,
560,762,887,740,782,166,952,374,312,391,720,801,325,116,618,152,958,697,304,
854,686,611,745,680,542,423,060,108,427,368,904,132,208,885,283,991,865,553,
665,080,386,533,616,266,209,737,652,216,341,846,928,813,124,423,241,439,385,
959,506,968,795,366,610,578,240,072,633,741,275,255,841,820,986,059,531,467,
820,027,264,284,434,702,240,374,376,813,458,588,456,538,531,718,904,804,061,
151,129,897,975,510,640,219,573,492,066,502,555,468,891,449,941,491,926,794,
624,286,846,798,587,230,415,885,544,990,929,144,466,408,436,712,975,097,661,
449,967,341,171,119,072,954,199,805,279,385,785,775,928,084,898,717,093,969,
392,491,218,876,879,922,870,237,249,704,411,236,421,775,134,825,510,086,907,
094,955,321,468,891,842,241,476,144,478,472,902,703,640,105,844,025,976,613,
736,486,898,930,393,683,766,804,621,876,453,923,855,693,914,788,527,825,834,
277,583,386,070,413,453,117,370,648,458,714,936,205,045,121,790,453,835,034,
837,635,762,502,464,043,981,098,138,747,729,201,483,581,330,966,166,243,602,
024,669,191,285,476,343,400,014,381,472,518,748,799,927,922,421,815,198,538,
180,197,393,728,559,841,610,484,683,062,522,267,302,931,479,283,294,083,565,
311,132,734,089,654,510,058,992,077,738,634,814,126,690,831,874,410,683,036,
041,776,053,900,075,707,736,707,720,668,431,128,673,903,354,962,561,143,830,
732,961,052,145,515,459,462,464,453,505,468,933,341,485,454,920,953,051,088,
675,315,277,675,749,016,563,336,609,974,351,953,452,379,515,031,921,790,371,
154,161,185,575,074,976,957,445,891,222,509,459,115,626,743,164,115,747,962,
937,615,316,908,636,297,141,677,770,611,417,282,835,656,646,725,246,226,010,
228,258,088,186,464,883,963,115,713,161,200,555,444,786,550,826,865,899,172,
287,879,253,652,594,082,204,017,901,649,923,822,920,328,325,865,038,966,088,
720,392,789,455,790,108,078,185,091,743,786,972,478,245,524,427,507,036,384,
628,009,978,150,862,640,285,459,390,523,661,088,701,321,798,990,074,626,107,
466,650,435,176,121,460,470,025,349,430,481,303,838,454,464,082,846,400,667,
691,841,991,322,262,815,973,728,866,363,182,424,122,058,082,567,276,041,589,
902,691,291,354,265,134,828,382,845,732,335,415,235,293,508,748,043,314,987,
936,101,669,293,089,091,039,651,975,384,179,979,031,195,271,515,070,433,249,
751,083,738,636,603,164,394,776,111,209,693,913,500,159,329,768,022,038,411,
670,924,367,192,200,282,290,266,395,264,685,371,895,222,042,380,369,611,121,
137,165,789,312,365,533,547,519,058,882,059,536,531,063,884,445,443,267,968,
275,528,734,184,476,759,747,702,174,236,100,591,506,212,015,456,432,223,331,
156,373,452,058,344,444,717,137,935,175,824,958,841,467,574,048,690,356,134,
100,766,540,059,944,420,326,148,056,766,608,709,364,096,772,702,798,520,848,
684,249,897,068,839,412,901,890,665,280,141,118,434,419,005,430,995,886,075,
155,310,123,548,771,893,481,421,741,728,291,516,174,718,561,857,872,200,160,
709,837,954,150,791,585,393,724,540,134,919,366,437,820,838,174,069,988,500,
090,129,356,685,005,655,801,409,989,666,111,041,280,805,481,240,304,254,867,
077,594,300,180,034,132,791,734,840,699,918,022,217,236,126,032,040,591,526,
140,184,364,168,634,588,539,879,260,084,528,707,570,994,563,196,090,653,730,
958,837,800,842,389,897,501,146,430,842,396,407,912,889,535,556,210,148,517,
129,951,201,561,114,252,622,073,744,071,093,901,238,291,732,981,133,564,739,
904,733,524,786,960,068,663,642,119,418,752,509,485,223,294,496,909,670,443,
894,612,972,290,519,145,896,093,659,560,810,230,347,210,814,031,966,568,087,
083,046,674,072,289,129,549,039,684,225,442,233,596,168,102,722,212,371,231,
590,229,595,603,554,235,171,981,382,236,093,763,546,962,801,508,648,651,312,
841,829,551,384,137,913,639,752,101,627,653,819,521,582,386,082,689,612,723,
560,149,654,090,867,314,019,531,275,569,446,680,766,559,973,649,043,979,736,
852,711,446,078,665,980,484,141,874,244,336,837,644,278,442,498,915,433,806,
859,846,641,804,265,939,794,650,345,523,526,718,930,566,185,312,167,390,000,
976,810,723,584,212,802,542,477,876,771,968,801,614,705,221,368,077,611,809,
397,052,317,780,277,065,703,993,724,461,598,138,910,680,278,624,494,239,836,
322,285,156,017,200,986,889,439,435,583,002,105,561,096,842,027,023,890,207,
388,347,465,381,733,006,638,004,742,437,215,212,249,084,913,167,234,463,922,
912,488,822,411,385,012,227,084,925,821,767,429,888,435,907,343,456,226,832,
100,167,772,541,095,071,575,990,999,109,496,941,002,601,749,762,223,005,512,
474,071,921,881,843,541,202,211,077,303,660,072,520,306,981,920,561,717,126,
560,777,891,162,899,101,636,951,189,085,575,154,701,442,884,984,007,795,935,
697,319,673,055,288,467,122,109,986,255,507,702,744,049,041,061,491,790,606,
628,517,234,442,480,674,542,660,092,510,999,874,987,697,618,747,428,979,104,
935,616,463,996,224,944,859,899,718,909,784,570,170,073,664,009,862,194,305,
417,326,977,957,594,623,966,821,297,521,638,349,717,190,341,984,045,225,112,
093,447,700,768,681,896,501,345,275,603,808,135,257,615,594,247,785,290,740,
538,989,341,605,099,011,735,187,063,628,416,795,946,393,403,839,695,618,835,
294,824,702,015,220,063,036,401,491,746,765,190,903,362,750,438,146,688,208,
337,766,461,398,049,950,278,963,216,530,466,047,635,797,180,900,635,064,999,
981,168,099,219,743,227,342,341,392,899,815,030,977,735,716,407,770,175,437,
017,385,860,137,783,667,120,484,312,231,905,359,463,166,239,598,438,229,609,
537,967,920,633,236,499,311,824,264,955,767,303,351,090,397,187,724,669,109,
505,209,550,327,507,507,890,507,965,243,038,956,770,074,189,472,831,103,135,
791,989,490,630,443,026,566,307,736,838,403,597,579,640,175,788,263,656,420,
727,465,478,304,259,377,962,620,385,703,242,733,401,964,199,079,146,699,211,
347,649,428,026,304,192,834,190,591,312,064,384,415,575,032,249,195,376,130,
006,302,749,505,543,612,103,814,770,935,250,220,824,082,235,233,599,963,132,
856,542,285,080,341,896,204,045,562,588,513,596,754,889,125,790,705,215,302,
379,060,657,662,038,226,155,596,600,244,112,319,978,753,508,607,198,900,048,
672,689,843,684,922,609,577,806,809,242,461,092,989,931,876,719,220,859,962,
331,989,089,625,372,114,585,278,178,168,480,247,241,302,527,707,230,947,261,
463,447,831,489,746,111,082,270,911,149,103,384,668,214,195,406,129,350,496,
099,395,092,131,242,114,586,112,312,014,826,330,325,648,236,182,345,729,402,
422,489,345,373,401,979,114,039,253,150,433,741,064,289,482,887,062,805,584,
468,818,021,292,504,124,919,718,308,890,219,636,215,178,826,781,167,597,190,
833,406,870,895,528,698,634,138,064,054,534,879,010,406,685,928,162,666,314,
471,690,532,502,381,543,424,275,857,773,045,735,328,231,416,290,230,610,420,
783,898,787,884,009,637,769,819,976,400,174,410,907,259,070,928,266,309,793,
929,915,060,411,807,964,153,034,386,601,288,769,012,892,097,356,245,654,422,
559,496,355,406,480,749,553,393,255,319,058,475,834,089,661,912,001,137,899,
969,430,526,463,099,833,625,280,212,990,123,215,106,712,991,864,905,472,850,
149,449,167,146,225,855,259,323,221,968,798,263,253,154,317,898,916,280,032,
526,876,071,320,876,460,404,108,641,380,681,422,645,772,625,924,242,962,578,
184,561,838,379,156,968,273,553,172,141,328,481,607,767,588,185,936,895,438,
082,875,108,950,857,779,742,047,761,608,171,273,447,244,827,330,985,219,513,
256,056,726,112,189,910,597,879,399,763,042,111,935,539,218,636,706,835,201,
356,526,238,704,879,627,683,636,655,330,681,617,729,643,580,790,863,264,380,
823,523,990,828,012,345,686,804,030,330,523,232,488,259,859,154,776,528,564,
195,391,266,014,842,773,031,653,672,775,296,889,920,482,714,735,970,199,912,
948,246,714,672,832,910,803,373,754,952,420,486,866,176,246,490,643,511,357,
983,385,871,303,238,336,192,715,214,039,788,442,806,776,316,198,554,303,923,
070,266,715,710,614,553,241,555,478,782,460,460,490,450,588,628,046,851,520,
185,436,935,999,506,043,679,224,592,763,093,798,848,631,551,729,706,021,570,
437,169,008,286,583,074,915,953,835,646,765,104,703,224,835,881,314,164,448,
038,855,522,153,512,683,945,154,654,959,433,041,641,529,489,143,504,805,055,
490,207,300,267,337,291,696,609,603,460,656,213,950,660,860,629,914,981,476,
291,943,269,031,053,060,238,384,273,778,750,948,363,217,907,376,968,813,223,
065,159,208,634,327,328,684,711,813,843,227,075,698,809,221,917,300,792,915,
133,091,693,032,709,156,600,163,263,218,354,649,522,627,709,043,967,497,231,
630,182,437,161,110,971,481,458,395,212,220,401,777,674,462,433,911,590,498,
131,377,478,217,507,449,312,453,129,741,082,906,312,245,719,088,803,087,871,
667,082,588,846,930,302,973,288,148,422,016,303,248,993,251,506,084,879,457,
298,895,293,099,212,018,325,776,540,127,358,656,554,540,227,436,962,545,430,
884,728,408,564,825,778,931,662,058,446,528,479,145,238,349,985,055,771,391,
383,653,831,952,365,772,704,397,734,015,019,428,865,499,299,826,545,930,236,
122,122,534,369,110,742,276,298,225,694,968,688,720,141,975,511,828,164,326,
238,604,022,653,659,223,272,690,379,166,606,745,183,922,347,994,044,386,886,
869,063,776,231,977,616,633,134,821,348,449,437,222,704,350,544,570,524,051,
079,745,224,859,673,904,663,547,809,836,044,316,090,584,304,824,354,196,374,
666,011,906,001,430,680,790,101,417,791,230,363,621,479,035,300,305,743,597,
823,106,459,718,890,173,096,684,126,485,482,239,799,449,938,636,948,356,050,
949,100,343,928,614,620,588,252,944,589,791,719,330,125,343,726,612,536,516,
925,167,297,265,516,178,433,075,458,798,976,403,684,980,632,986,948,822,506,
073,465,485,064,447,544,049,324,285,644,331,099,373,958,859,091,730,532,233,
690,670,601,305,216,261,361,864,481,745,459,428,955,659,542,058,574,030,113,
214,697,846,285,633,313,385,799,098,305,899,363,752,591,361,410,949,733,666,
532,883,277,244,789,058,666,715,785,187,857,216,588,946,191,038,939,990,803,
066,029,066,894,411,520,000,713,484,416,173,020,476,004,400,605,954,305,236,
139,220,414,465,527,820,055,642,900,840,127,520,999,580,919,929,675,451,191,
751,710,216,492,189,575,676,488,985,523,427,588,331,797,166,785,054,935,477,
868,984,003,825,447,823,771,971,537,853,699,902,251,954,239,530,092,425,707,
881,938,387,255,956,169,819,912,090,926,688,350,086,141,416,131,564,164,989,
358,795,651,536,127,320,436,565,945,261,299,933,416,728,749,880,974,854,278,
546,843,494,443,493,639,308,049,934,636,393,753,626,363,032,426,482,118,143,
809,097,735,909,483,208,351,981,841,281,189,119,412,966,679,894,405,907,039,
621,555,442,646,578,022,752,173,098,526,322,511,479,232,430,837,504,526,874,
212,874,710,650,506,232,077,742,894,132,305,728,796,711,583,371,943,786,344,
276,740,447,665,307,512,480,522,427,499,513,006,999,143,013,468,436,795,656,
402,920,371,798,552,981,785,104,282,493,419,904,607,050,935,196,853,717,168,
514,836,342,702,885,854,504,414,774,467,415,850,345,430,207,485,074,043,443,
550,661,311,034,135,128,069,597,668,001,785,469,915,119,679,388,125,655,133,
503,671,615,070,675,994,189,387,185,524,326,326,003,384,269,312,556,399,019,
816,334,087,894,209,748,821,498,271,809,235,020,102,793,115,246,062,207,284,
572,247,938,198,568,978,698,001,344,407,726,681,449,296,065,731,295,386,966,
858,523,081,610,269,754,833,512,996,360,129,166,900,871,536,865,124,667,642,
243,380,368,171,994,346,051,462,030,263,052,790,295,680,196,057,304,009,064,
007,947,299,671,661,418,098,123,090,855,156,409,899,414,211,776,771,010,639,
523,135,267,791,301,907,908,590,178,499,888,198,287,822,455,602,230,552,744,
860,515,761,107,397,681,779,541,836,416,441,463,115,341,004,838,991,292,786,
233,427,746,186,135,383,063,490,103,415,352,531,498,969,159,162,619,685,574,
912,138,083,093,831,399,916,489,927,705,237,766,431,834,641,179,434,853,579,
610,955,487,479,876,973,459,787,514,247,036,209,820,389,685,822,850,525,183,
778,197,609,161,802,239,595,098,152,280,393,046,256,410,960,826,849,654,190,
830,383,943,277,347,203,156,591,343,920,267,903,700,151,073,504,108,356,302,
661,449,655,093,321,069,754,341,921,130,579,249,821,861,157,038,366,724,537,
405,296,129,801,402,449,587,750,150,292,896,849,451,205,301,165,208,519,112,
135,157,607,506,457,420,090,934,609,961,163,178,257,603,797,466,405,533,373,
783,335,636,284,368,922,401,396,818,239,704,311,855,308,693,130,718,196,189,
883,547,921,190,168,984,744,166,704,183,147,145,465,412,938,583,292,805,849,
494,515,956,278,544,722,573,326,154,419,576,575,412,101,029,229,792,606,052,
496,368,051,940,274,030,344,091,908,883,440,045,068,280,832,118,681,655,427,
388,170,304,178,978,923,600,809,350,401,896,144,464,401,533,854,371,173,811,
974,446,497,045,190,450,463,786,308,047,935,436,293,216,784,326,027,831,058,
609,872,683,638,952,687,676,360,014,737,741,266,358,612,073,912,461,923,609,
479,085,423,487,841,161,926,483,436,709,062,570,164,687,472,409,318,906,787,
494,215,338,602,115,089,334,991,505,851,849,047,461,755,165,649,164,514,532,
923,621,427,447,020,597,822,284,315,155,904,870,033,211,727,555,245,289,825,
360,927,383,646,141,633,625,189,973,316,691,518,174,822,398,065,153,086,172,
317,836,484,856,172,151,310,054,407,137,044,199,458,841,522,672,312,285,106,
966,623,551,793,285,561,669,994,426,262,864,304,258,261,311,685,929,402,953,
463,507,395,923,875,749,676,667,137,189,335,104,614,832,549,385,087,308,255,
019,531,117,134,882,556,579,595,536,019,352,101,430,214,462,942,446,213,545,
675,456,433,400,178,769,413,955,005,067,009,636,515,120,110,895,466,243,219,
461,478,494,570,051,869,638,800,902,665,834,534,844,871,366,707,558,749,115,
582,680,679,403,072,886,187,812,760,693,738,805,394,968,395,531,803,443,925,
120,892,194,333,982,631,453,858,374,237,184,429,478,100,191,680,364,192,362,
590,346,745,170,304,909,478,378,488,405,800,983,373,858,032,113,252,118,977,
613,153,420,594,301,374,539,738,869,981,791,237,899,468,335,332,720,417,827,
593,588,719,296,514,354,285,344,379,300,346,842,427,497,276,432,711,082,774,
092,145,711,694,989,480,377,657,870,252,950,271,883,009,001,499,212,567,616,
167,105,482,696,339,426,445,456,839,045,268,842,109,693,672,087,425,680,698,
731,804,622,104,792,425,276,018,919,020,220,119,790,977,759,174,441,160,072,
080,258,301,179,007,342,096,802,143,778,825,302,419,055,249,641,159,575,261,
051,269,222,866,290,917,006,057,549,875,912,911,892,968,393,053,976,120,336,
123,940,260,524,426,119,400,734,204,755,262,401,563,074,114,566,369,935,286,
175,417,312,826,514,956,342,571,816,238,754,458,467,984,507,410,341,443,775,
514,657,064,448,576,221,108,964,658,690,894,635,274,197,086,902,838,481,106,
958,612,243,490,462,830,619,521,458,042,852,703,732,044,294,162,836,588,115,
970,320,203,017,490,757,890,724,241,593,955,668,855,614,309,249,142,045,122,
098,951,056,466,666,702,381,799,417,775,704,020,381,203,602,508,284,492,021,
727,881,992,493,168,309,877,987,890,966,740,077,965,052,954,386,001,266,953,
302,497,275,841,609,932,320,085,365,026,426,836,538,591,222,058,723,562,154,
302,097,658,762,821,907,581,861,718,956,391,127,165,038,532,243,322,521,136,
972,925,803,607,488,694,427,254,447,875,680,682,333,071,880,990,047,826,990,
328,880,542,496,534,504,359,036,094,536,304,091,570,137,244,446,778,825,818,
719,653,679,932,547,167,765,387,123,082,936,725,003,783,617,936,271,315,220,
664,559,525,416,170,974,021,012,182,504,709,965,710,983,110,924,955,449,070,
375,517,502,339,241,996,254,843,712,243,232,898,796,819,107,175,697,571,480,
815,319,702,320,748,492,721,004,209,804,641,364,827,813,217,076,931,791,962,
309,079,102,074,634,865,017,748,029,186,951,530,960,560,392,124,278,600,269,
675,942,395,331,611,343,166,235,925,861,006,309,496,068,125,645,233,129,064,
201,077,153,562,598,766,025,565,606,965,154,515,493,071,650,475,151,425,497,
239,096,100,232,915,151,164,463,195,272,895,804,327,234,573,430,744,880,414,
296,351,593,920,027,549,669,101,268,406,339,260,266,068,377,772,896,502,283,
939,911,001,164,481,075,585,078,864,865,426,456,627,752,133,703,202,947,501,
636,224,330,058,766,166,635,792,246,322,337,195,627,307,929,516,352,857,771,
035,141,470,508,095,514,867,615,708,359,281,612,113,451,240,653,278,764,140,
949,028,034,288,824,244,144,507,335,347,050,733,614,380,602,485,105,528,806,
108,834,017,181,952,079,774,532,855,871,308,614,175,302,345,094,920,007,643,
646,680,418,576,655,786,296,717,398,709,787,783,375,428,003,307,961,240,093,
656,105,022,389,064,858,439,183,793,949,841,319,449,567,726,348,469,498,167,
976,677,999,060,945,768,501,475,769,379,086,922,522,740,680,543,023,770,036,
442,735,042,349,410,462,008,447,310,212,538,052,279,338,897,039,576,850,913,
570,390,258,817,700,917,001,563,728,056,055,357,724,939,037,665,534,896,321,
320,901,797,515,891,896,704,237,450,297,063,234,240,642,534,366,101,914,508,
661,021,401,308,791,845,736,467,175,171,351,023,101,072,240,593,266,559,794,
559,825,866,450,530,953,933,972,317,495,485,685,208,776,661,053,111,862,669,
519,361,583,604,192,388,353,905,558,341,998,714,618,377,063,618,073,805,590,
667,494,069,262,283,011,977,229,340,077,169,965,049,868,477,306,381,540,821,
067,088,301,959,392,502,521,389,314,685,285,197,149,341,939,816,386,855,657,
500,422,845,639,995,506,171,007,296,874,799,664,821,687,221,088,089,299,590,
546,796,235,268,459,397,519,334,663,207,032,552,717,865,810,088,916,283,830,
385,707,052,044,815,610,817,756,162,320,653,495,972,798,942,341,525,767,889,
058,704,290,823,451,454,042,956,270,356,497,917,074,838,447,156,011,738,517,
167,594,115,912,818,473,535,166,459,986,099,339,676,429,366,654,391,117,979,
138,768,841,176,749,864,022,448,057,559,639,646,673,440,395,077,699,237,638,
127,352,698,221,267,564,769,068,438,730,537,516,641,218,288,502,738,727,232,
741,606,240,672,485,176,647,989,620,388,093,857,255,981,749,303,978,521,021,
903,728,210,829,630,000,114,933,273,704,638,165,350,738,751,587,940,030,906,
893,329,726,408,310,295,061,005,970,492,045,929,796,330,002,784,157,466,148,
930,427,426,274,910,778,685,523,351,782,424,576,105,385,477,544,274,471,878,
955,650,387,495,650,109,777,359,722,219,917,006,556,928,240,282,557,983,646,
496,660,027,504,645,569,766,180,597,488,791,434,535,763,509,414,741,480,111,
876,927,578,704,130,134,257,693,846,633,947,238,073,882,972,122,803,147,753,
307,840,628,838,526,436,926,173,156,096,959,574,565,194,331,469,175,583,011,
565,822,250,544,609,323,265,762,579,750,531,145,398,888,311,451,361,104,557,
593,414,353,395,648,254,935,011,468,779,018,884,674,581,739,001,690,263,818,
991,897,164,779,146,839,535,849,484,749,990,677,824,800,355,204,115,992,261,
086,715,801,176,279,475,014,574,650,176,572,096,306,591,656,944,633,232,986,
047,428,027,648,474,091,161,844,633,367,357,310,922,657,074,013,871,865,413,
939,098,504,798,768,338,043,873,349,751,726,265,236,481,188,120,558,404,609,
313,288,256,457,910,714,117,359,772,507,415,365,345,939,995,475,499,440,135,
175,519,158,621,966,023,754,436,344,283,198,392,146,528,033,093,287,937,113,
163,944,420,140,828,607,498,765,305,379,557,424,113,403,429,193,056,194,110,
274,120,628,341,152,203,313,765,228,975,775,216,806,910,453,404,233,514,704,
144,745,672,826,638,776,806,302,667,978,890,680,927,509,238,128,781,063,036,
601,784,983,212,524,427,876,734,496,870,054,762,298,749,361,651,856,869,723,
258,078,042,864,855,023,491,123,945,412,651,868,173,269,748,436,845,497,202,
734,225,116,717,500,601,284,571,913,121,163,233,299,915,249,074,868,609,573,
989,136,947,163,716,968,174,852,550,465,094,402,633,849,096,701,583,839,133,
932,630,822,130,691,750,504,639,426,714,114,822,714,347,466,604,840,539,212,
366,737,948,473,926,301,025,732,870,883,080,291,728,258,088,315,342,556,733,
033,576,290,502,488,011,808,068,476,739,134,695,392,511,037,377,621,153,484,
263,797,686,254,856,214,856,228,508,965,484,471,035,164,803,935,062,013,558,
031,983,865,614,031,441,324,804,438,009,647,244,520,109,691,035,061,579,950,
274,484,827,396,211,891,177,086,987,979,019,748,215,022,452,934,602,407,704,
372,894,990,586,874,597,635,307,763,984,762,927,414,719,281,086,643,171,090,
530,982,588,390,206,409,811,088,671,593,292,463,494,717,932,418,407,240,656,
354,371,307,616,920,699,351,969,451,937,335,040,066,884,439,906,113,272,350,
042,699,414,032,115,836,068,759,843,229,572,043,383,108,762,623,454,566,770,
218,045,833,011,889,458,785,636,485,371,326,736,459,225,772,123,650,745,025,
410,537,661,729,371,258,050,314,890,152,803,978,479,981,895,828,291,046,139,
396,153,105,275,540,252,770,844,291,404,850,725,150,168,535,388,211,040,257,
278,399,334,718,132,307,335,621,931,965,034,847,111,708,088,446,285,181,177,
025,448,470,386,654,953,479,628,377,770,454,592,916,277,415,242,542,237,433,
122,567,593,845,047,491,607,750,251,200,887,309,999,704,060,950,337,580,655,
426,664,218,149,925,594,622,405,830,762,336,673,112,725,705,477,032,503,682,
287,992,821,851,353,504,851,041,925,400,250,552,745,152,495,150,803,330,825,
098,908,038,139,818,695,630,630,151,214,463,355,821,729,830,871,455,998,227,
485,160,637,099,658,454,602,758,606,983,748,629,491,572,969,626,227,572,347,
494,262,119,674,661,020,177,288,146,371,311,573,712,563,206,234,002,629,294,
752,400,070,968,198,177,615,068,348,602,389,479,701,603,889,461,558,206,538,
355,981,915,248,671,835,299,012,327,800,147,845,665,340,618,682,603,503,199,
797,146,852,283,860,532,352,801,786,365,045,342,196,961,925,145,367,077,564,
694,072,799,025,137,098,261,122,512,975,405,687,114,103,057,582,571,588,665,
954,277,492,810,619,985,659,208,319,061,348,517,309,911,846,889,049,916,490,
489,328,582,910,560,932,945,737,227,137,029,593,513,881,692,604,987,062,772,
968,424,094,454,090,914,495,500,164,839,827,635,559,879,211,578,173,611,240,
054,181,784,314,930,549,667,865,805,548,320,745,026,594,981,097,398,969,158,
246,157,844,304,855,551,677,335,707,225,699,725,100,962,408,369,796,069,163,
643,840,933,887,861,548,674,015,349,438,129,616,724,581,683,155,757,034,671,
006,440,593,822,645,069,231,300,491,278,091,597,991,671,325,662,387,178,161,
305,070,932,935,326,874,189,303,198,686,247,526,565,024,574,295,445,778,719,
117,278,659,090,991,952,793,156,526,762,632,703,555,020,389,947,414,855,398,
178,368,805,865,672,923,024,576,947,069,866,391,635,497,525,483,173,874,072,
967,904,151,243,273,018,475,871,150,542,213,961,598,478,703,511,841,483,279,
830,863,491,579,752,324,473,629,498,411,217,515,951,125,748,190,120,337,639,
209,526,327,620,675,397,939,013,172,783,714,315,091,450,311,982,828,666,263,
738,626,527,208,853,723,632,205,733,786,645,692,010,365,465,204,483,959,678,
832,484,839,332,277,036,972,117,665,720,911,567,261,260,561,117,905,495,771,
812,912,287,861,671,983,087,947,195,647,928,269,621,438,027,523,961,981,224,
463,404,645,832,932,283,468,527,611,974,579,492,853,023,724,632,301,494,325,
354,440,776,107,804,927,021,744,287,205,080,687,873,344,752,715,808,722,324,
504,624,962,274,776,441,272,109,872,733,151,004,400,294,468,031,024,891,772,
412,950,799,252,255,521,238,463,493,267,491,961,356,703,718,548,444,708,518,
617,542,144,367,486,188,561,095,832,012,711,502,610,469,474,624,516,500,379,
009,906,571,119,718,996,212,720,859,313,437,337,969,373,774,927,372,118,156,
038,660,266,210,135,458,427,991,214,847,828,421,798,982,376,559,034,137,897,
716,645,574,192,882,576,745,901,863,131,732,466,025,571,934,419,901,890,366,
023,705,303,088,053,827,227,288,019,615,415,204,562,831,590,824,200,604,474,
823,650,705,448,816,253,024,151,653,679,336,613,061,721,796,787,323,101,448,
931,760,337,752,205,792,015,124,671,745,855,846,274,826,899,322,965,937,944,
094,324,860,017,010,926,759,599,802,518,020,822,903,036,855,786,743,444,628,
784,669,606,490,078,791,830,041,202,759,124,804,457,562,977,569,372,473,216,
277,886,953,468,744,036,069,754,243,820,796,942,767,881,923,271,295,343,945,
853,942,247,864,797,458,135,328,339,951,233,722,676,903,816,523,975,372,229,
013,416,415,188,482,584,972,483,876,034,477,562,459,303,603,636,530,953,336,
737,156,161,060,439,934,692,889,863,288,987,588,418,861,678,301,119,763,993,
169,205,326,789,492,791,709,387,658,749,069,469,781,036,121,093,360,319,383,
954,065,737,512,205,499,373,130,331,157,630,251,411,592,994,283,476,029,714,
567,166,264,846,943,134,376,085,332,221,695,687,071,249,760,675,028,727,726,
839,524,504,642,321,295,728,922,965,588,478,455,702,142,857,918,704,823,286,
040,956,326,083,581,496,517,067,982,167,123,943,283,719,683,897,085,206,182,
218,859,030,369,240,023,022,986,559,600,799,366,822,698,153,876,755,798,244,
058,195,459,651,459,400,086,134,236,804,739,797,662,201,612,352,052,789,565,
041,458,871,044,400,871,080,951,453,587,202,677,112,198,385,104,070,579,969,
698,735,889,743,540,510,610,812,633,837,731,424,117,191,333,265,429,714,521,
980,225,064,760,364,345,191,399,574,774,872,083,196,577,928,366,744,023,550,
287,253,333,609,132,959,318,450,058,375,107,509,549,300,017,804,118,259,179,
196,740,950,793,855,155,866,706,801,853,544,432,981,947,315,944,726,412,900,
794,795,343,785,465,381,136,004,392,944,539,004,983,136,213,974,545,716,395,
009,419,066,198,602,107,016,012,994,700,130,164,436,371,707,072,352,911,126,
979,888,293,381,494,448,521,540,709,694,160,682,252,174,168,926,684,631,935,
843,231,804,920,601,605,629,479,334,253,875,676,257,193,034,203,732,366,853,
434,552,934,403,000,934,950,164,685,014,583,007,598,386,635,194,155,803,816,
387,802,147,221,113,579,100,138,192,115,818,821,019,522,313,528,948,771,557,
150,439,824,867,020,765,822,416,664,748,570,409,753,408,969,250,743,869,314,
541,480,404,656,280,408,935,724,492,454,422,777,027,201,363,939,239,102,806,
109,468,817,212,630,863,518,634,545,875,565,250,314,360,647,580,828,516,124,
067,308,899,468,214,430,920,820,003,468,272,386,233,653,249,410,165,152,167,
609,651,631,060,997,981,390,917,972,058,936,152,697,301,838,919,456,352,759,
734,680,540,304,724,098,964,816,921,917,338,154,228,420,290,830,291,028,607,
436,809,894,386,622,274,881,917,716,738,078,809,762,911,498,449,058,279,338,
766,460,922,978,032,713,144,065,326,202,169,455,427,433,180,219,919,179,493,
487,837,554,425,840,948,212,871,972,451,023,498,186,309,334,627,535,186,276,
682,399,531,740,203,853,712,005,702,179,960,212,254,252,660,212,915,148,394,
186,585,647,820,598,694,667,164,289,350,710,028,499,869,986,443,432,849,325,
138,810,413,778,517,814,073,940,643,292,685,342,212,443,186,030,287,404,165,
201,989,324,175,824,261,861,089,594,960,724,280,393,759,503,015,814,051,357,
827,290,088,977,768,770,539,149,599,760,063,143,342,568,028,715,890,600,806,
142,200,931,400,881,030,459,553,684,845,277,758,890,625,609,454,079,834,637,
984,009,240,045,305,244,570,673,709,555,481,977,331,611,037,849,753,862,744,
445,017,822,861,721,102,167,000,093,472,212,471,277,200,871,054,729,328,032,
652,469,348,744,648,821,786,772,966,927,711,650,681,918,339,656,271,069,762,
844,069,127,589,771,801,337,256,072,366,987,480,090,681,310,027,162,781,544,
631,692,701,530,380,861,195,497,700,668,097,684,013,844,058,121,728,123,441,
981,156,898,624,153,037,252,193,383,658,957,104,286,473,772,551,629,932,617,
330,143,527,684,043,454,621,071,207,808,046,170,499,780,255,926,250,612,697,
815,425,352,138,048,576,827,424,120,678,841,418,158,927,474,957,125,377,434,
090,723,360,078,631,621,082,308,125,000,616,580,019,254,756,133,497,140,657,
151,436,306,902,389,949,474,434,667,246,073,728,356,227,630,178,457,510,355,
454,968,658,137,467,816,312,386,752,998,639,485,475,586,334,741,344,575,309,
101,126,636,522,559,134,765,838,692,259,676,490,216,028,279,074,100,225,726,
925,107,579,683,121,770,872,242,228,530,026,491,314,790,310,908,560,539,949,
424,709,552,563,639,723,771,580,454,110,121,767,004,476,821,124,649,100,175,
377,802,961,074,976,536,218,352,603,303,319,493,325,516,772,308,614,618,757,
818,073,038,750,901,586,834,533,285,830,144,753,860,703,244,084,051,640,788,
306,456,791,491,433,793,463,081,870,665,907,270,887,958,949,191,216,280,044,
045,314,287,083,012,515,217,398,377,107,043,253,821,239,515,809,306,284,085,
667,532,228,301,254,354,411,666,482,127,044,001,595,144,878,447,712,301,300,
671,712,906,092,614,105,720,188,318,209,334,724,828,035,591,292,748,625,881,
688,657,510,052,846,157,868,299,605,333,216,326,147,327,328,252,319,838,580,
789,863,923,826,374,322,785,101,376,631,525,229,192,512,663,230,424,581,365,
255,732,848,117,847,467,424,969,573,514,213,794,749,673,887,396,485,422,181,
695,862,595,147,757,836,767,561,662,080,185,861,791,213,933,114,913,213,319,
595,867,818,196,465,305,289,681,982,553,057,786,605,031,753,260,339,899,405,
538,149,998,573,659,105,722,205,474,401,811,263,145,602,831,838,667,204,207,
883,109,070,816,471,313,830,196,665,818,088,375,884,871,321,382,129,634,531,
030,942,629,999,291,696,454,378,202,177,010,580,898,024,447,960,047,792,850,
343,126,955,010,025,771,418,824,671,919,335,098,137,920,016,607,847,551,306,
896,870,692,480,453,531,106,238,416,853,611,749,682,476,768,411,345,627,508,
177,421,092,404,851,062,855,739,933,146,760,094,741,355,455,858,764,496,728,
698,548,255,565,150,273,088,362,450,788,612,313,628,140,575,038,002,861,407,
008,014,568,166,848,922,667,382,200,005,417,935,534,765,261,022,747,051,023,
191,252,896,005,864,031,782,247,013,207,250,520,593,156,811,668,578,765,636,
446,861,433,727,559,194,730,302,919,196,904,640,052,358,712,819,057,391,429,
390,082,617,245,305,586,872,803,350,130,467,063,095,512,531,291,530,873,818,
813,323,371,666,459,997,256,275,696,082,878,292,740,877,259,256,405,569,846,
130,184,358,405,164,271,939,471,579,214,441,256,198,398,409,750,710,579,658,
600,036,464,213,547,652,132,177,965,312,991,383,401,642,575,197,382,879,652,
185,845,408,917,700,290,465,276,642,012,416,219,804,523,983,214,391,559,301,
739,778,854,601,769,550,790,191,291,956,421,492,488,780,846,996,491,555,136,
869,064,202,565,222,897,198,345,705,341,965,777,777,492,762,253,581,748,431,
532,703,414,654,533,645,734,423,078,769,951,697,242,654,042,603,630,203,008,
662,513,137,321,196,242,837,341,574,541,998,873,195,925,231,194,789,081,829,
265,767,329,955,185,240,551,668,108,632,914,050,170,581,030,095,196,440,915,
619,054,297,588,351,051,323,720,414,795,264,371,712,358,414,208,856,872,895,
045,878,597,243,353,414,457,834,591,882,271,521,832,354,193,165,848,504,294,
581,799,985,067,335,071,535,770,131,549,918,869,428,120,346,294,203,037,260,
446,630,139,059,387,218,519,180,065,563,382,928,339,082,104,531,599,570,018,
183,259,972,603,219,985,602,221,111,637,612,986,800,535,960,880,606,041,905,
938,829,838,401,208,729,442,869,677,181,611,838,529,623,807,592,638,518,155,
044,546,387,165,576,714,657,441,078,467,328,670,231,091,395,457,090,605,887,
145,599,570,858,534,738,402,373,930,334,309,383,574,894,595,566,309,529,150,
995,869,365,487,634,942,495,126,694,443,608,540,483,718,653,186,139,198,858,
431,443,396,275,272,047,774,266,393,466,586,265,729,498,489,803,394,980,126,
346,618,643,377,126,134,807,103,863,780,958,092,052,884,743,313,642,483,393,
701,058,951,864,668,558,757,122,329,134,560,976,872,057,779,121,974,891,050,
234,701,860,714,975,035,635,225,313,417,726,941,332,266,034,378,504,805,232,
185,795,061,734,059,157,333,761,305,082,498,567,017,840,098,190,351,728,578,
948,037,363,305,756,439,353,832,592,190,424,017,698,244,042,676,769,645,772,
812,296,565,994,525,774,163,121,463,556,370,424,378,435,511,371,032,658,207,
863,005,147,931,077,306,854,354,193,964,797,319,616,377,439,435,391,099,834,
652,641,997,764,287,964,410,685,321,158,487,082,822,095,301,244,767,533,142,
407,466,124,639,798,613,718,732,550,122,870,922,667,310,049,648,969,996,920,
686,730,752,552,298,799,553,462,837,571,579,968,556,964,211,868,689,290,426,
018,547,369,271,118,990,119,570,368,736,829,129,283,816,498,138,165,637,094,
060,329,060,888,988,786,671,847,526,412,591,271,397,148,031,144,624,831,254,
232,333,953,309,561,528,388,791,206,582,575,828,014,636,146,154,903,869,942,
747,537,916,956,713,130,602,000,803,287,908,468,842,178,820,622,012,780,358,
531,045,018,103,087,374,939,605,656,274,372,627,605,938,811,675,067,269,485,
847,006,414,853,998,738,977,659,598,846,009,717,720,271,395,649,523,951,707,
995,062,962,573,482,333,039,841,924,471,664,325,750,659,508,116,238,381,862,
407,562,141,761,058,257,345,644,555,346,197,639,743,752,679,936,943,756,143,
953,218,649,938,364,351,965,691,132,804,385,383,424,271,288,149,250,343,203,
208,214,420,484,346,907,085,863,558,858,748,988,275,200,306,127,350,244,881,
623,631,097,569,004,850,942,042,365,566,278,833,891,653,160,207,699,819,495,
650,638,055,907,750,683,912,086,318,601,315,194,732,060,385,796,729,967,892,
550,761,690,201,951,753,640,998,451,340,830,323,762,306,680,550,118,435,784,
163,613,866,126,917,459,999,720,256,153,387,395,913,896,592,688,569,183,275,
212,702,528,341,264,014,792,289,740,046,814,018,838,336,732,561,992,581,837,
858,208,121,179,280,110,681,828,968,736,937,038,911,563,560,862,570,463,706,
078,187,570,917,532,232,792,569,995,571,702,068,315,009,909,552,660,124,873,
397,046,708,614,871,943,899,113,034,841,933,207,184,241,899,160,499,897,578,
452,080,815,072,775,361,900,273,061,071,439,383,368,080,240,600,478,795,502,
905,032,625,112,869,724,916,788,619,099,373,543,965,718,204,661,893,976,569,
525,203,443,351,699,674,169,913,407,151,879,693,903,145,391,185,826,201,766,
521,005,615,082,862,110,163,865,303,292,158,858,784,143,475,395,125,968,085,
556,616,676,366,835,141,553,350,713,723,032,203,420,674,168,061,136,713,213,
681,421,453,487,620,061,715,804,578,560,738,001,192,610,209,533,143,858,724,
762,325,372,772,581,173,099,629,843,389,430,352,195,352,553,242,049,744,665,
072,958,921,355,138,730,337,731,978,812,205,150,227,482,087,182,137,152,402,
773,398,194,290,574,742,666,858,236,638,641,019,418,140,374,330,573,641,330,
621,547,449,272,371,776,737,067,791,647,853,465,130,382,946,177,278,411,501,
929,016,278,275,305,938,175,605,582,055,851,448,936,473,533,948,734,973,192,
851,623,295,737,804,480,476,785,837,070,473,158,216,246,915,663,810,111,154,
088,903,533,993,921,887,074,678,578,202,027,830,671,149,108,793,887,103,865,
818,233,383,766,814,590,913,915,532,677,420,882,551,482,505,528,529,755,160,
084,549,948,531,709,791,901,993,277,132,258,571,662,119,423,135,667,277,059,
197,819,163,042,088,999,014,382,347,907,704,599,959,116,209,447,986,573,327,
654,024,584,470,547,181,338,975,132,997,726,211,462,122,954,323,591,385,982,
747,599,847,754,123,571,132,384,133,502,280,265,810,282,345,368,970,084,108,
477,981,356,869,450,035,337,976,224,905,455,826,098,896,055,500,267,032,217,
812,769,866,696,466,881,164,247,010,981,982,137,704,514,584,663,165,580,155,
291,894,576,521,249,352,316,679,520,831,233,947,284,107,538,307,594,583,339,
442,070,176,723,504,512,007,514,221,219,692,900,368,199,292,810,143,704,816,
366,855,196,369,345,380,729,071,209,262,810,381,557,934,062,205,650,791,265,
680,727,545,502,006,614,198,117,319,270,943,237,800,871,711,801,386,250,917,
380,765,920,481,083,594,993,974,553,686,979,269,571,386,915,905,779,228,914,
296,570,741,387,760,605,366,735,275,119,393,946,569,936,139,160,759,797,593,
454,987,841,481,797,056,859,494,493,993,456,301,569,243,330,334,958,479,428,
596,920,853,915,418,422,104,011,682,464,821,017,754,358,156,216,723,633,100,
934,699,684,016,815,364,202,017,350,718,604,352,578,358,583,506,072,067,530,
887,546,644,144,595,905,758,115,465,943,968,806,832,732,944,960,329,202,204,
403,651,259,187,390,867,764,974,167,834,452,974,527,419,279,255,618,648,769,
244,984,317,517,531,780,259,223,939,947,477,586,549,045,246,435,575,621,447,
310,205,896,538,454,043,109,956,833,528,084,565,793,334,890,441,510,889,857,
435,568,659,735,811,335,884,971,951,964,180,955,650,839,747,453,346,918,180,
917,065,995,760,260,401,192,290,167,176,724,707,734,667,537,835,691,311,946,
087,740,942,001,064,884,106,375,141,733,830,653,327,638,999,372,007,644,049,
158,756,555,326,194,490,299,531,664,872,438,985,564,780,435,881,905,624,922,
829,697,281,050,944,255,723,258,488,125,881,412,404,526,530,607,302,473,905,
777,591,885,382,899,802,506,255,156,821,091,816,477,570,721,263,162,769,769,
836,995,730,511,804,980,587,873,831,028,634,680,364,324,119,927,353,109,753,
401,118,425,043,996,134,993,079,865,220,776,713,676,449,970,238,742,800,798,
222,046,967,771,337,044,226,116,571,381,502,503,456,441,478,810,057,440,873,
188,993,552,945,557,621,718,840,054,793,700,320,753,507,191,367,587,424,091,
319,944,655,324,333,909,449,947,708,447,227,272,395,313,831,420,352,849,904,
404,008,084,964,864,878,637,322,449,716,077,252,761,686,782,217,934,060,227,
419,687,513,656,244,297,924,166,250,098,012,333,459,801,230,861,471,691,453,
324,867,548,885,082,560,178,095,075,441,100,222,504,231,295,081,984,348,092,
183,976,930,051,042,454,633,727,986,057,496,720,490,425,651,520,108,077,150,
576,209,779,544,844,269,719,146,315,255,081,792,618,057,552,844,573,633,655,
784,635,866,626,597,393,791,744,560,269,527,730,301,739,572,188,616,083,443,
514,559,919,259,034,299,714,057,196,255,253,729,931,159,241,167,554,722,914,
200,918,673,111,942,200,207,717,301,626,177,598,896,633,477,418,647,693,676,
286,218,318,070,271,008,189,326,467,232,931,474,950,808,545,962,265,902,124,
489,920,057,422,353,002,267,969,228,454,681,688,960,384,802,999,881,501,063,
949,699,726,885,717,626,614,786,607,429,847,361,930,464,853,949,134,909,873,
905,432,227,284,051,788,497,917,508,702,236,619,729,416,369,331,913,073,942,
177,321,580,247,275,764,923,828,530,089,787,121,993,475,280,416,234,450,505,
844,685,971,928,708,511,858,168,885,648,956,073,628,270,797,536,326,832,377,
821,815,134,589,541,964,101,844,088,467,100,552,175,204,397,392,024,490,250,
540,548,214,912,416,458,935,190,425,860,313,724,524,099,915,637,755,679,865,
309,972,864,526,940,950,733,429,575,495,363,268,146,966,372,624,576,811,627,
978,692,014,400,366,479,050,494,857,426,448,253,296,261,633,180,644,360,480,
926,319,967,479,339,485,280,517,558,968,137,004,920,348,438,502,768,352,517,
357,446,254,828,074,934,577,770,339,212,109,223,767,560,030,539,349,728,098,
773,271,401,992,027,900,308,751,443,919,575,120,276,957,854,891,511,313,250,
739,813,030,500,176,691,967,760,110,860,717,524,044,561,028,723,974,863,305,
654,776,835,760,564,545,165,130,582,035,228,711,752,533,365,062,057,339,470,
408,813,902,609,853,356,179,663,199,457,810,012,279,784,459,697,099,673,208,
922,131,559,180,568,367,059,762,922,123,288,084,183,530,411,664,889,098,741,
896,578,092,954,038,827,858,671,688,063,805,484,333,190,854,820,369,943,180,
174,852,179,357,338,105,268,465,850,099,732,392,498,809,934,119,596,451,996,
099,450,528,752,878,435,470,237,676,674,314,454,994,520,100,872,093,353,581,
911,000,679,762,420,750,255,248,017,830,428,821,680,353,631,060,140,656,731,
010,589,514,000,141,360,286,523,034,549,781,349,858,988,756,308,018,517,872,
817,988,891,264,457,068,334,656,997,820,193,145,987,387,138,876,609,356,036,
691,378,779,604,919,818,232,367,485,426,655,303,842,400,054,753,811,638,798,
320,334,633,101,527,247,858,304,438,891,118,083,879,043,601,757,829,048,693,
386,498,774,313,036,184,725,878,740,807,408,398,148,653,180,837,656,487,557,
562,208,903,795,164,044,288,625,457,597,922,740,678,839,571,496,191,684,823,
169,080,906,471,766,847,635,248,072,233,669,704,610,611,168,235,208,866,219,
660,352,634,303,035,107,469,629,797,919,025,521,926,567,512,418,448,083,677,
083,440,428,259,827,434,887,723,127,690,730,400,146,487,824,106,713,949,228,
321,805,682,313,984,522,796,198,970,872,523,105,684,279,213,679,809,695,088,
136,514,583,988,754,732,988,264,988,116,864,096,238,787,134,023,834,937,433,
894,931,765,881,100,333,242,123,404,202,347,334,918,105,768,877,979,027,150,
975,740,780,723,712,518,504,317,103,180,794,401,900,544,953,266,960,204,037,
084,705,748,566,805,698,836,566,820,115,563,680,812,246,125,990,246,916,369,
439,003,787,615,035,838,252,557,429,826,480,438,545,083,895,895,067,453,886,
283,641,381,907,460,123,276,196,453,627,791,917,663,009,620,922,391,726,034,
625,461,553,449,587,941,835,318,008,709,824,751,499,400,786,276,783,963,581,
203,950,723,380,732,720,596,540,160,036,731,477,958,964,798,678,744,008,373,
523,387,995,044,943,811,770,501,323,282,367,582,872,017,877,935,636,961,805,
529,999,934,306,345,748,076,090,949,013,007,808,259,181,902,659,754,292,239,
447,543,003,706,865,569,014,704,138,588,106,793,264,939,983,391,027,454,749,
976,239,964,949,607,617,680,557,066,334,684,017,948,395,469,420,258,030,744,
358,122,323,346,168,956,571,890,166,858,728,265,856,064,310,717,462,850,245,
575,958,541,544,340,207,888,044,864,909,154,381,464,540,593,136,424,056,560,
212,769,629,322,324,644,275,894,468,363,875,433,037,193,510,862,950,377,701,
865,616,092,132,212,750,166,438,824,518,763,181,061,473,475,340,453,497,708,
625,111,457,556,228,259,242,262,249,198,632,884,487,178,023,708,876,243,293,
086,782,714,587,176,753,629,292,427,314,778,983,559,910,269,279,962,042,108,
877,094,246,216,133,423,013,901,905,060,744,922,399,256,970,237,748,346,851,
497,937,307,620,954,133,224,784,215,141,332,287,480,525,299,040,943,218,725,
470,460,947,036,595,554,566,654,783,848,948,621,050,124,260,027,055,543,085,
717,570,888,602,099,977,028,684,198,665,097,806,625,996,295,794,858,567,222,
678,831,460,478,465,675,788,210,964,449,223,428,527,083,283,764,536,429,980,
347,879,644,320,244,642,314,096,707,101,827,611,819,185,993,616,026,910,380,
129,501,289,381,055,935,077,415,594,611,715,046,961,433,020,964,330,080,382,
562,758,820,065,659,397,033,361,412,196,099,776,488,742,853,570,405,097,889,
469,122,817,798,105,707,674,477,335,543,889,154,075,432,404,785,316,202,099,
326,762,798,456,509,440,404,111,407,439,502,454,529,427,590,260,236,344,757,
892,067,787,099,901,942,008,004,949,234,769,839,397,567,027,907,107,078,633,
150,499,056,321,634,349,569,726,615,320,150,635,763,278,882,036,296,071,596,
021,519,738,564,728,655,275,482,409,108,733,978,845,810,585,863,207,887,251,
346,631,808,752,591,421,525,028,579,346,011,846,379,448,597,793,785,522,317,
748,537,101,410,826,002,059,195,577,045,079,012,624,464,002,516,732,609,565,
756,820,228,104,972,694,864,083,532,292,565,774,109,914,262,645,578,343,771,
483,483,822,190,768,148,097,323,653,924,634,940,971,131,485,387,992,953,451,
758,876,327,590,364,889,610,257,068,903,727,233,338,614,126,926,315,001,722,
413,487,789,577,129,633,468,239,989,267,014,435,164,727,605,736,328,328,891,
794,777,200,454,974,364,336,852,061,331,524,877,776,245,732,371,709,612,507,
142,686,470,330,277,683,844,211,926,089,856,797,371,026,563,762,217,433,969,
628,711,592,110,118,533,642,403,549,225,765,927,604,757,053,991,322,281,339,
029,176,290,250,656,288,288,431,339,492,695,164,957,994,981,642,152,458,974,
001,735,279,487,694,046,518,752,754,405,817,863,585,145,455,756,690,236,675,
833,554,359,542,796,217,284,542,404,328,155,844,527,901,040,183,068,159,931,
074,687,393,207,819,695,132,813,855,906,822,936,302,663,418,597,507,475,941,
959,908,544,650,994,522,659,259,929,025,420,730,882,777,267,299,659,383,056,
781,352,534,580,810,616,543,548,599,771,078,084,398,818,226,267,529,229,993,
191,792,863,973,905,350,304,242,269,463,497,193,089,242,448,256,334,909,787,
928,916,826,233,976,638,058,543,254,386,363,808,779,111,303,011,047,822,569,
117,365,542,234,736,423,190,490,073,642,519,837,897,092,752,376,640,638,911,
394,972,651,109,720,201,097,155,982,703,010,397,064,180,454,770,535,664,184,
863,752,522,379,767,948,759,631,047,514,220,412,473,970,011,917,234,291,956,
502,745,802,361,080,156,307,615,436,510,295,625,050,664,530,780,817,754,698,
827,516,442,506,779,985,490,275,098,639,948,026,772,257,144,359,878,122,516,
678,682,275,708,291,809,672,765,526,063,349,613,529,751,858,067,724,392,648,
938,558,094,946,820,803,579,396,363,066,593,993,704,821,883,312,422,212,500,
208,516,228,038,846,790,667,603,244,956,491,515,281,758,405,532,420,472,610,
036,338,577,532,327,384,077,212,670,306,514,498,673,212,050,327,004,832,903,
569,570,222,322,147,560,217,846,502,476,643,971,349,206,590,618,869,789,713,
919,866,263,406,865,025,148,549,167,093,892,428,158,907,258,980,073,607,066,
723,651,833,873,668,255,739,815,389,510,299,884,007,194,808,045,254,823,385,
812,796,936,589,904,835,575,026,553,799,118,169,817,418,803,564,416,540,483,
350,101,263,252,400,310,783,600,323,283,673,363,375,305,581,300,282,631,519,
112,167,790,135,662,088,348,346,702,798,488,155,100,136,945,637,429,745,869,
730,291,537,839,013,094,431,883,633,352,163,864,288,454,500,701,208,901,361,
592,712,119,415,311,849,597,673,366,113,094,547,650,431,121,233,754,898,309,
361,549,662,744,108,250,671,540,758,378,670,651,394,627,693,973,527,345,918,
045,246,567,061,369,841,283,352,235,690,863,340,075,074,657,991,363,737,730,
463,509,349,766,145,141,776,099,593,985,789,402,676,051,019,491,102,860,109,
554,952,491,188,262,114,489,905,927,237,884,339,073,760,322,328,072,822,394,
338,463,297,866,885,936,735,551,483,235,082,925,658,928,107,791,482,688,554,
847,048,302,596,254,302,275,182,137,300,532,536,697,833,966,483,918,359,373,
302,759,651,291,058,465,690,801,859,393,083,485,698,467,613,731,598,186,279,
759,804,266,138,781,741,269,377,061,048,298,228,705,903,172,361,417,605,628,
653,842,915,556,511,166,983,979,300,608,618,713,901,496,670,863,796,976,072,
158,346,424,670,028,492,434,987,746,545,737,609,251,694,376,350,544,184,452,
444,057,599,462,577,888,288,832,691,305,826,011,753,560,432,875,609,292,785,
046,408,766,481,111,399,946,381,076,677,099,078,488,274,372,198,576,651,997,
871,406,631,148,698,945,480,752,292,911,047,892,895,448,673,329,323,707,459,
386,859,712,201,263,030,760,666,870,441,132,598,053,368,365,178,519,170,222,
546,521,968,344,451,602,284,343,422,437,251,817,119,895,091,623,508,998,151,
619,392,056,352,970,678,676,972,807,699,151,535,743,503,645,663,436,186,660,
306,722,917,928,900,016,919,194,880,901,737,943,395,564,580,265,633,786,764,
810,512,193,484,418,658,559,557,704,572,013,020,494,147,222,128,367,970,129,
311,877,450,623,442,162,335,734,437,842,004,602,620,574,847,482,155,635,734,
177,529,897,167,490,739,247,438,578,270,602,678,041,909,967,480,630,772,652,
790,183,891,766,195,180,127,013,731,837,924,016,697,897,926,098,149,417,055,
170,092,469,247,053,513,560,928,191,300,862,828,270,531,977,625,320,935,950,
617,673,694,916,602,842,569,235,282,840,729,647,960,616,048,394,875,578,503,
691,285,579,181,061,382,160,417,508,950,675,495,334,672,799,136,891,038,802,
856,466,528,798,435,896,613,297,381,134,366,509,514,508,243,576,033,509,121,
895,672,063,578,122,358,759,650,394,720,786,068,587,451,110,538,114,838,755,
357,681,042,858,375,178,899,778,079,505,720,258,207,718,745,826,881,097,471,
946,050,755,829,182,279,353,912,127,573,479,249,658,748,564,050,261,542,946,
010,312,804,372,342,961,933,807,504,005,680,397,957,576,506,994,236,274,547,
053,747,277,262,975,526,129,457,367,249,556,761,509,291,357,571,281,027,191,
762,763,830,122,693,815,196,183,352,240,059,826,259,836,639,063,472,110,415,
633,558,234,826,625,386,670,478,580,473,098,065,085,507,147,006,824,616,985,
169,210,281,707,607,314,314,151,818,703,629,367,188,582,037,648,246,531,290,
543,869,566,452,492,239,601,985,042,925,058,085,642,794,870,677,458,698,546,
442,840,843,924,337,190,365,509,118,834,328,689,471,169,507,259,275,956,397,
081,749,829,683,714,483,146,089,670,883,889,572,578,326,790,934,958,424,385,
376,804,647,758,932,707,596,706,989,157,445,982,172,062,514,998,321,354,885,
165,789,822,393,275,124,719,881,130,795,397,185,895,997,504,141,047,151,328,
867,756,305,869,813,849,353,400,867,787,602,608,927,844,820,007,382,036,530,
298,145,110,353,827,594,362,506,290,742,550,213,715,149,806,135,214,290,857,
083,917,544,725,305,505,623,678,580,595,382,059,930,346,115,395,553,148,074,
806,900,326,874,415,843,850,482,791,814,984,470,112,202,783,412,630,288,377,
017,111,075,827,294,016,857,568,435,072,164,000,217,068,391,902,950,369,695,
133,466,940,354,294,138,815,143,909,173,215,165,888,216,341,676,726,935,515,
629,687,476,508,512,609,443,171,207,038,324,123,729,262,141,123,838,583,625,
903,202,197,893,868,520,115,372,656,174,747,200,099,477,594,085,177,118,569,
028,964,800,541,389,008,758,526,818,555,520,621,113,715,669,815,186,849,366,
499,664,222,619,663,658,738,506,926,650,377,230,235,591,111,890,665,398,010,
308,658,306,746,424,137,538,482,664,730,260,215,387,027,997,379,530,553,205,
362,037,435,257,885,927,846,249,472,108,113,114,399,806,414,934,322,597,384,
029,802,853,300,183,929,127,753,588,947,318,650,245,662,351,515,220,545,389,
146,991,146,643,083,452,130,523,997,599,150,689,051,241,157,970,354,692,700,
803,977,189,940,236,672,090,078,221,443,651,120,468,066,190,762,667,422,476,
813,033,893,823,396,645,233,567,325,727,668,453,986,902,090,710,243,852,759,
509,444,880,059,081,747,220,542,541,940,667,187,768,336,237,046,545,052,916,
487,292,214,424,385,088,152,028,342,705,483,132,843,558,298,036,186,975,276,
399,793,443,611,746,526,968,765,139,615,716,452,889,800,358,700,473,847,194,
285,267,290,075,091,424,697,309,776,760,305,650,381,797,176,729,509,987,934,
897,133,492,533,262,912,633,458,471,219,636,399,025,082,483,564,443,999,178,
353,060,351,600,686,506,544,904,512,073,359,869,130,678,126,940,564,294,792,
977,065,602,222,085,921,581,232,495,370,646,881,830,739,716,846,098,728,510,
430,424,886,516,887,229,329,915,859,181,928,905,350,100,172,353,680,636,962,
731,117,504,219,760,053,124,206,886,936,297,343,654,962,543,041,084,565,313,
899,398,368,532,496,163,558,824,527,026,930,196,870,936,586,809,754,747,217,
299,734,686,758,131,346,787,460,761,412,415,946,091,773,335,259,780,293,120,
684,925,474,599,993,299,754,816,202,487,753,321,759,751,367,910,463,604,021,
544,966,713,868,252,900,670,488,467,712,227,076,515,705,335,967,100,799,108,
281,721,258,976,567,260,587,003,150,025,204,978,082,626,912,741,233,422,764,
374,256,858,186,188,061,926,604,168,461,997,620,545,221,884,954,866,204,640,
774,035,972,853,705,467,374,064,982,214,795,933,313,480,316,275,367,651,966,
934,848,931,601,007,624,649,547,591,835,905,952,668,325,786,578,176,938,656,
038,951,950,718,915,996,849,197,032,624,449,185,741,949,399,218,287,927,305,
730,586,406,559,194,326,024,523,214,768,040,931,100,960,419,898,960,765,117,
429,388,441,531,755,705,793,863,740,489,343,460,877,809,575,196,057,897,141,
333,971,842,088,083,044,326,118,720,849,839,120,323,690,811,270,609,224,820,
230,131,013,573,414,533,606,232,448,091,985,530,987,136,458,010,823,531,381,
065,136,899,924,607,220,946,868,676,261,361,166,915,833,112,860,852,306,654,
705,727,106,841,513,675,212,500,770,540,329,929,687,537,909,533,331,195,469,
866,525,197,175,620,367,418,972,628,748,288,709,522,651,702,673,034,723,887,
032,445,691,808,203,722,592,586,483,553,323,620,080,385,183,888,796,918,129,
729,802,416,153,881,663,771,480,976,074,717,755,195,891,038,524,088,948,357,
461,162,655,405,241,680,567,678,674,427,654,183,635,775,550,898,739,388,342,
306,105,085,939,857,187,642,509,971,908,918,466,886,774,071,198,929,333,499,
367,953,409,581,570,328,414,564,860,886,929,585,447,236,257,659,200,823,511,
617,090,713,693,583,558,516,706,668,383,817,510,244,954,053,343,805,776,343,
791,026,025,484,270,052,619,578,135,483,873,305,020,164,208,368,498,649,955,
313,489,009,614,225,333,195,539,838,797,285,142,779,597,997,020,311,853,615,
453,910,735,868,789,840,740,621,463,813,769,311,341,457,220,431,683,598,350,
096,550,480,351,883,799,244,364,281,751,417,070,464,121,018,403,495,319,035,
813,730,823,378,736,056,616,032,824,119,588,762,167,293,564,914,084,110,513,
893,952,088,983,240,414,840,957,607,404,521,875,641,385,057,976,445,092,714,
021,510,391,707,910,273,791,485,379,055,514,719,143,951,059,668,844,938,425,
452,498,425,771,566,574,066,864,962,444,894,631,776,422,197,485,770,750,114,
864,282,731,384,220,901,960,003,135,456,474,363,880,594,464,567,977,936,618,
607,739,901,742,497,892,048,824,324,394,324,115,236,067,472,485,584,978,458,
519,428,283,450,185,456,211,123,558,052,143,488,303,773,390,655,613,298,661,
073,765,567,086,618,938,785,780,658,140,542,442,420,707,626,408,718,110,922,
875,665,195,625,658,703,097,815,363,661,266,944,626,446,860,823,110,161,631,
018,019,208,263,681,084,221,328,831,968,806,169,141,291,229,489,564,062,999,
635,690,304,213,301,111,647,150,148,293,167,903,050,104,430,445,963,026,626,
072,295,984,468,608,247,818,745,843,255,646,524,734,148,510,753,569,321,318,
867,994,925,675,106,477,967,468,844,829,913,861,169,857,041,063,398,458,806,
644,414,918,231,006,806,130,577,005,101,695,165,962,248,870,963,690,347,627,
848,389,907,271,643,532,680,351,874,136,819,804,515,961,394,819,070,799,679,
401,062,509,968,472,002,943,729,545,846,351,658,280,715,788,848,671,694,438,
608,516,677,542,535,830,051,993,512,037,903,432,320,103,669,637,430,997,101,
523,084,454,729,504,024,790,465,665,751,328,289,000,628,848,450,406,781,394,
720,936,935,561,339,813,609,439,287,972,250,462,141,654,058,663,206,338,028,
112,117,127,049,286,645,405,574,769,511,207,599,674,514,556,704,710,194,585,
904,555,411,664,185,225,566,199,774,275,077,636,463,051,880,120,144,223,746,
299,874,121,371,767,214,380,006,612,815,079,706,213,275,137,701,331,135,166,
056,955,031,968,301,572,853,124,581,345,203,596,728,738,128,502,076,139,658,
858,196,226,624,929,794,027,731,590,961,089,136,085,232,356,309,395,762,521,
438,608,199,577,955,620,879,866,050,034,890,122,264,766,736,808,387,173,187,
806,281,500,296,768,340,359,515,764,841,569,123,285,285,729,482,879,921,486,
385,751,279,359,943,504,316,679,728,858,894,159,018,361,730,222,739,640,195,
173,477,271,157,713,615,264,076,255,738,344,968,592,771,866,034,890,185,800,
413,464,156,461,044,485,675,224,093,467,029,783,688,689,893,554,130,719,657,
341,050,781,613,137,658,014,883,627,359,758,932,670,051,682,704,182,999,712,
155,460,918,472,821,495,857,867,861,251,275,833,085,802,233,042,344,891,385,
181,896,007,506,687,488,284,489,170,399,038,122,949,719,185,502,667,855,014,
622,427,067,019,146,891,924,778,500,577,892,658,433,962,311,097,490,846,447,
042,865,828,998,835,310,996,582,851,193,213,707,069,239,292,785,063,850,775,
831,213,269,737,053,305,967,777,312,985,483,675,580,885,810,720,692,548,725,
822,812,097,278,549,170,659,561,846,705,948,408,945,919,699,382,285,493,399,
511,662,336,727,058,879,506,044,573,788,417,202,344,696,616,572,791,807,977,
440,992,462,525,685,892,921,961,219,232,457,217,616,323,084,192,789,533,850,
227,930,847,659,682,170,233,099,037,586,291,761,137,573,416,877,298,959,486,
751,699,292,092,786,172,355,314,283,525,361,901,602,286,198,831,612,090,436,
917,402,543,774,792,326,252,047,679,148,433,122,939,751,998,850,687,805,257,
314,279,965,183,368,044,469,770,531,914,770,545,859,122,605,059,419,894,413,
930,820,301,502,750,215,225,286,171,740,899,014,774,691,282,250,607,645,677,
986,050,814,688,264,525,302,398,895,436,849,224,305,933,447,208,062,522,637,
694,251,269,141,288,416,318,001,480,400,973,980,312,415,899,915,348,341,223,
969,449,841,247,942,820,690,179,786,554,020,388,519,250,415,398,055,152,209,
714,522,326,882,518,789,574,987,140,600,640,846,623,643,919,021,604,916,582,
593,379,427,912,615,540,083,954,540,450,713,161,283,984,567,874,655,948,105,
107,775,802,516,799,169,336,954,277,386,840,124,471,924,457,019,854,956,480,
579,614,393,689,942,844,877,674,535,090,437,620,164,225,700,763,630,365,244,
166,036,125,098,176,211,208,684,773,051,076,502,008,815,737,754,141,975,721,
197,639,108,912,488,808,393,431,926,052,359,756,186,837,028,061,851,849,508,
927,426,942,822,573,805,812,719,549,125,282,101,280,110,650,344,003,141,652,
091,985,705,999,316,726,796,789,681,182,258,460,926,242,708,206,997,562,062,
424,728,502,360,241,224,471,953,154,483,673,036,445,208,967,907,844,906,951,
796,100,575,193,180,704,043,132,990,785,353,602,888,227,617,330,697,779,801,
648,559,793,659,780,624,576,804,539,750,268,033,385,630,880,179,474,616,639,
449,674,385,679,596,635,362,006,700,141,228,651,918,931,589,068,303,487,862,
358,329,142,071,902,121,365,927,338,404,409,113,200,247,119,765,471,551,410,
681,859,484,132,811,732,251,536,472,295,959,468,910,608,360,394,864,412,526,
218,051,822,754,035,928,203,986,451,933,820,639,639,434,511,025,785,978,768,
056,629,084,536,526,709,016,614,519,285,879,461,408,825,692,006,739,903,233,
325,221,737,743,159,686,041,650,386,877,756,305,910,340,484,093,121,314,907,
994,743,895,762,918,901,808,009,129,942,362,659,872,220,386,046,602,743,419,
827,522,084,883,023,809,934,860,009,351,246,916,936,923,520,635,272,750,532,
070,552,191,968,986,153,884,415,302,422,159,718,399,490,262,292,948,643,221,
190,139,556,960,280,147,563,508,936,995,170,632,887,723,795,881,618,500,392,
095,328,205,951,984,937,653,881,160,940,584,937,592,962,229,199,459,985,600,
493,473,877,226,255,635,869,259,929,496,838,981,973,360,347,684,381,857,207,
058,413,996,910,309,642,986,964,492,913,386,086,546,289,966,988,362,199,965,
043,601,684,849,878,838,323,616,772,558,570,064,384,887,162,561,392,929,450,
998,130,545,850,165,026,564,118,194,487,952,177,841,165,643,465,373,989,740,
937,207,264,666,261,372,553,788,872,038,536,316,023,828,072,428,636,160,518,
798,492,027,966,425,245,352,608,456,831,729,958,778,936,033,382,687,146,544,
738,258,301,792,370,613,118,047,690,568,124,940,215,419,683,302,728,235,038,
458,714,894,726,735,867,149,498,208,639,355,130,047,275,810,522,184,604,146,
030,639,603,609,133,195,050,317,282,174,693,516,016,742,829,849,014,698,431,
835,328,120,014,770,325,094,037,886,038,502,192,062,690,563,749,981,120,574,
954,513,474,880,826,873,138,613,673,520,382,705,318,289,458,645,990,847,453,
675,752,473,968,021,838,718,092,893,129,635,950,104,233,590,189,785,292,434,
855,295,611,410,640,709,414,856,529,822,362,473,180,148,533,772,708,507,018,
833,530,824,817,711,165,313,636,967,720,420,577,341,741,578,589,888,037,603,
682,047,541,501,189,383,821,230,328,056,805,719,673,677,083,487,202,519,793,
658,612,533,143,294,678,863,341,941,505,106,709,063,070,812,943,599,650,104,
024,279,849,312,632,540,031,821,891,903,667,301,099,277,127,062,272,094,623,
862,707,281,672,691,824,911,593,259,644,495,472,144,897,631,959,157,934,166,
926,108,113,330,922,141,668,141,489,141,813,354,439,233,130,924,071,023,033,
337,013,440,385,259,617,209,987,238,676,624,038,768,848,224,256,434,212,756,
281,681,576,869,547,031,924,345,048,127,636,078,399,219,465,083,806,272,581,
205,212,874,860,510,527,471,321,453,898,804,227,095,054,873,053,311,245,784,
746,504,803,943,126,230,558,621,519,706,246,929,223,464,111,648,263,198,658,
421,880,245,957,029,176,232,144,595,527,097,300,590,459,274,251,959,847,365,
194,926,315,008,061,931,350,631,515,723,411,040,715,365,975,011,944,288,497,
005,176,606,953,277,047,920,198,406,686,989,653,346,752,497,577,414,488,784,
796,854,808,459,622,143,553,579,416,493,266,072,776,295,655,094,009,590,035,
530,397,706,318,491,534,354,704,608,428,414,697,740,073,075,687,735,977,212,
968,680,833,007,915,026,103,738,783,468,697,980,124,423,757,393,082,323,979,
871,736,902,064,244,477,941,507,513,167,912,789,476,506,406,758,518,835,161,
002,801,926,446,483,268,030,325,307,341,987,340,696,475,405,827,948,998,930,
125,813,187,183,890,816,815,825,619,426,198,217,114,345,988,565,357,074,858,
691,502,562,114,728,074,690,201,457,550,765,803,221,230,525,393,823,170,887,
266,097,633,371,801,577,656,458,815,498,079,719,990,626,164,527,278,748,714,
742,740,794,528,936,859,999,606,922,395,910,919,747,943,836,940,569,341,258,
899,918,509,356,376,157,272,123,222,842,805,362,968,213,377,432,142,133,589,
192,694,217,369,571,661,878,399,590,599,935,403,757,573,088,555,331,168,987,
328,217,824,005,381,567,652,893,362,362,856,508,456,962,747,106,646,325,171,
517,097,653,116,276,831,969,115,556,055,844,357,622,804,606,007,740,889,378,
406,880,129,418,886,773,060,158,595,139,978,180,650,824,021,699,491,317,764,
557,694,045,596,964,738,964,373,996,460,839,670,432,955,195,241,119,212,719,
609,818,972,511,003,986,178,735,891,747,926,864,106,000,424,670,321,829,484,
284,631,707,360,316,707,868,440,691,069,451,770,157,237,210,607,102,314,366,
967,637,397,053,442,816,411,847,821,349,813,565,154,961,722,308,792,508,900,
278,054,956,442,120,497,558,825,004,781,982,784,636,383,311,791,785,728,092,
034,014,629,529,625,004,445,523,180,301,695,627,662,949,574,296,788,328,241,
561,545,413,693,032,405,925,133,675,648,906,888,459,896,696,275,841,515,739,
521,324,743,915,074,673,287,864,398,496,244,377,186,529,104,541,926,215,902,
131,980,260,033,729,888,290,742,002,087,908,849,943,749,578,438,724,235,050,
965,448,864,347,702,787,158,888,622,767,644,082,422,651,467,876,034,524,171,
473,141,327,663,237,254,004,877,978,380,411,934,137,395,240,485,081,925,594,
966,426,339,313,720,553,449,843,425,558,119,960,412,232,911,180,770,602,287,
745,802,504,296,965,474,957,675,637,004,678,613,318,032,632,060,200,938,152,
162,380,978,674,252,068,002,162,088,496,633,081,929,855,005,137,930,429,202,
166,078,884,917,632,499,730,143,702,033,984,564,826,573,452,678,792,983,833,
664,999,243,216,910,178,510,195,742,163,347,909,846,388,611,090,805,862,190,
017,051,939,609,821,074,231,047,467,653,336,762,329,402,014,797,270,962,214,
069,760,795,243,863,303,658,205,522,759,162,935,089,546,773,146,625,557,526,
153,026,568,518,950,963,788,427,989,408,692,000,236,127,285,633,763,561,137,
594,812,468,124,113,347,074,593,501,202,381,769,051,644,946,142,549,813,328,
339,218,568,546,108,509,857,816,870,441,081,062,237,274,563,581,612,572,733,
959,740,651,682,232,327,239,239,330,861,659,588,005,863,703,747,068,073,823,
355,866,994,284,094,183,167,277,982,684,589,885,624,942,490,186,339,610,873,
068,434,037,720,702,008,177,183,158,592,201,597,088,975,016,834,828,637,195,
629,932,395,989,471,797,708,489,855,024,562,922,882,702,457,619,827,103,106,
460,361,609,104,457,289,288,711,583,122,891,099,587,329,474,463,127,565,383,
248,305,146,008,324,871,723,951,373,284,705,454,215,513,455,956,071,237,101,
095,550,762,145,000,256,969,146,519,868,862,188,529,953,469,879,119,574,031,
544,775,764,874,977,901,760,682,215,456,778,171,669,811,085,230,674,673,759,
719,202,573,901,227,919,486,659,154,857,964,396,468,152,563,314,111,306,999,
493,706,492,373,466,596,850,142,029,260,304,633,928,403,558,981,608,135,270,
445,347,737,705,047,014,075,541,715,629,985,187,037,241,940,771,795,028,931,
618,622,205,102,932,009,903,249,521,869,299,084,561,484,465,086,297,706,083,
381,649,012,415,653,381,599,454,827,108,810,978,278,398,425,606,894,671,685,
679,794,681,808,311,471,182,776,471,826,890,795,880,839,127,919,811,577,402,
962,303,827,449,981,182,351,356,618,500,938,015,603,676,037,263,176,130,610,
670,808,548,850,217,328,398,319,061,312,352,111,104,015,392,620,881,673,191,
121,493,025,124,514,971,711,187,693,502,212,513,494,415,987,385,078,077,908,
003,102,941,660,599,147,084,346,335,466,873,033,788,745,532,000,312,227,842,
491,779,068,978,400,282,799,355,913,510,891,474,311,972,715,511,247,147,558,
782,373,675,330,777,051,683,817,660,691,275,682,554,711,106,679,527,853,825,
377,144,021,316,293,222,056,344,474,677,073,004,810,515,594,967,941,699,422,
415,348,406,164,434,898,502,467,987,271,911,634,694,901,865,320,745,500,152,
828,051,028,145,970,486,810,348,690,014,749,808,955,444,644,731,738,456,661,
614,944,582,555,992,042,982,339,770,783,015,344,215,542,607,552,959,092,211,
191,842,131,949,841,501,194,988,807,719,754,756,994,258,617,242,583,240,898,
375,698,418,423,608,196,209,397,620,820,301,809,686,094,825,128,769,424,515,
126,111,247,984,821,287,704,471,898,548,938,857,951,503,667,267,259,425,011,
151,688,619,382,189,952,309,328,332,321,591,000,427,321,561,458,120,175,584,
411,664,298,939,714,826,808,655,345,396,267,260,962,242,624,009,186,273,076,
914,357,152,536,117,330,849,695,935,021,299,822,570,050,442,555,056,534,785,
100,236,436,971,469,967,253,726,417,731,563,288,959,941,108,657,902,739,733,
638,225,769,838,813,651,003,065,186,669,153,041,300,169,142,505,583,546,055,
960,460,313,835,108,987,484,161,949,050,850,023,559,129,386,119,245,311,182,
649,051,566,988,227,501,169,050,965,886,208,482,726,290,332,245,114,196,301,
125,643,075,247,492,117,314,924,523,805,912,227,319,371,618,133,659,738,669,
444,014,931,578,506,796,042,335,905,176,326,823,317,421,944,607,314,230,025,
463,910,930,152,515,011,082,540,231,929,639,405,772,771,723,331,167,668,388,
944,466,684,245,961,302,016,105,265,567,829,771,701,079,274,101,251,125,682,
539,194,029,413,639,876,340,248,193,761,399,304,176,972,384,360,016,573,741,
251,522,722,756,835,834,900,808,743,357,364,724,944,132,009,606,592,598,637,
043,998,961,404,737,238,944,807,540,099,537,723,918,121,085,821,076,895,085,
996,186,804,276,699,336,807,992,990,000,232,054,720,523,624,973,563,331,217,
357,449,555,753,070,970,927,597,326,032,581,876,141,794,157,775,311,675,387,
952,224,650,885,151,776,479,043,210,549,450,404,598,792,956,484,029,283,071,
777,584,635,756,478,806,461,415,165,879,783,953,109,766,101,980,228,145,444,
852,034,989,514,151,581,327,510,345,840,474,681,167,073,949,513,705,523,347,
319,241,563,928,116,890,370,063,416,467,115,722,652,645,106,201,345,072,487,
204,091,205,518,955,746,784,773,970,381,153,867,398,396,015,415,442,143,699,
296,300,821,231,438,345,800,366,955,361,083,517,082,481,303,861,075,583,343,
956,842,536,079,732,620,252,809,933,657,578,206,758,348,069,059,004,061,183,
762,868,456,147,191,624,961,790,248,879,883,308,624,057,357,843,872,966,097,
068,767,811,213,619,122,215,816,746,259,577,619,185,565,912,221,608,016,509,
069,415,937,220,083,344,927,330,074,571,580,096,855,022,820,878,214,357,585,
970,869,767,508,459,446,306,453,454,144,547,603,507,562,087,017,984,141,894,
245,716,879,369,375,632,331,194,947,395,823,536,588,907,922,670,487,355,622,
122,714,447,105,631,853,825,111,542,927,911,874,170,320,936,293,954,977,216,
994,654,408,685,109,874,203,409,738,500,400,513,533,346,489,150,277,296,721,
167,902,943,318,665,064,466,947,451,520,805,077,606,724,656,343,066,882,482,
003,174,419,783,262,567,906,505,375,642,199,348,617,206,285,020,866,065,912,
493,697,467,792,988,463,539,248,159,656,932,764,989,940,275,857,604,269,445,
329,622,701,653,207,624,460,841,506,028,966,732,902,626,706,195,940,186,939,
891,648,252,100,141,338,044,059,213,007,488,612,611,255,098,035,609,241,137,
192,005,140,791,962,523,261,625,346,257,530,371,348,914,024,099,345,530,144,
398,157,212,950,562,942,263,068,939,240,553,445,601,311,419,413,204,199,480,
128,734,478,507,594,903,815,434,589,141,505,925,313,582,227,290,896,219,025,
243,503,167,375,987,995,979,098,469,002,950,836,675,813,200,023,601,848,330,
413,440,960,845,535,326,687,597,751,364,853,446,231,277,636,372,661,008,035,
588,570,644,689,271,637,880,995,876,006,664,251,832,588,621,722,217,860,967,
172,691,882,186,781,085,455,844,383,555,998,799,258,128,344,937,334,974,467,
057,623,605,597,242,438,581,045,903,752,958,225,510,491,948,718,818,778,601,
557,185,795,588,195,103,212,685,368,927,963,840,266,297,724,723,157,025,277,
635,129,095,044,510,075,309,152,039,600,063,556,749,164,317,456,707,203,313,
813,626,876,488,725,963,194,786,668,474,383,816,930,901,037,419,931,847,617,
659,958,144,235,269,976,224,573,727,957,205,945,716,282,368,294,336,316,988,
019,711,379,222,492,290,392,293,691,239,864,799,920,790,746,944,264,877,314,
970,998,635,335,141,634,806,850,879,739,605,056,920,522,134,339,191,587,727,
303,338,462,632,897,808,309,749,480,921,777,822,604,213,088,481,066,616,396,
972,243,393,341,937,619,515,272,941,030,889,304,598,998,726,997,478,854,234,
039,876,992,252,563,192,018,423,414,376,965,895,633,811,977,737,780,173,971,
718,530,692,412,249,187,402,508,742,363,652,685,503,255,220,151,696,418,143,
738,358,451,784,663,474,250,884,906,251,800,682,065,540,481,414,857,837,050,
819,430,887,372,034,648,668,175,633,983,029,246,117,721,156,673,173,868,846,
103,184,495,234,317,350,967,311,735,802,761,147,420,842,162,819,225,358,195,
432,260,129,828,251,011,079,252,243,217,511,300,830,487,235,352,952,497,679,
821,862,086,330,711,617,141,646,194,803,926,501,846,470,428,803,393,280,987,
139,511,181,796,274,160,916,703,292,916,112,343,740,058,050,775,571,582,147,
661,201,515,586,572,811,030,979,151,806,031,478,570,320,769,653,077,463,184,
054,277,096,521,843,029,483,865,453,002,285,134,299,543,948,656,524,194,843,
206,240,056,819,746,630,580,467,515,735,469,237,204,098,612,732,346,910,187,
790,034,725,889,951,334,279,448,173,046,237,095,111,513,717,048,649,042,210,
178,039,733,623,113,929,094,972,606,683,123,191,737,125,303,013,444,763,426,
872,912,188,506,688,228,227,474,745,707,201,846,395,446,845,979,662,888,358,
063,695,211,596,841,828,233,901,154,577,418,925,048,168,960,653,271,334,408,
339,174,364,046,607,939,015,505,143,439,253,258,170,273,838,253,818,823,015,
209,164,838,265,996,480,380,236,273,392,350,128,849,061,875,353,606,979,121,
904,594,694,204,412,466,427,796,898,961,437,020,067,984,761,340,810,825,544,
429,544,506,976,189,424,286,938,448,974,251,273,258,224,739,620,972,821,724,
712,556,031,635,242,978,865,024,376,764,255,250,189,906,840,800,433,365,084,
267,476,089,635,737,120,699,777,285,046,151,091,890,594,987,732,404,538,322,
974,944,229,398,487,873,280,076,805,553,377,868,268,618,787,588,306,646,103,
424,331,599,612,509,718,640,403,280,915,555,787,348,166,560,960,272,973,291,
771,290,013,110,101,921,046,150,976,377,922,318,529,940,865,985,361,004,153,
006,679,288,700,638,639,946,334,092,757,869,839,366,930,561,914,487,522,149,
278,307,194,436,523,359,965,097,574,217,069,713,762,519,621,004,476,104,848,
968,359,026,490,259,592,396,125,845,246,879,206,085,489,627,534,275,112,691,
126,671,046,666,122,647,626,622,854,471,257,526,994,187,905,111,161,195,981,
627,689,833,695,744,358,469,527,315,795,512,026,810,984,222,167,296,866,187,
063,917,490,247,725,983,931,146,421,359,436,731,803,202,289,112,218,826,477,
204,805,826,217,549,258,541,624,245,372,795,599,193,965,747,866,001,204,923,
473,878,486,087,057,864,518,619,927,214,239,163,568,428,661,624,409,676,048,
133,584,643,237,507,898,047,511,851,815,616,754,358,279,310,866,840,543,905,
550,362,216,152,150,717,620,379,705,018,759,012,938,854,556,652,305,879,044,
846,274,985,870,450,095,403,837,874,626,715,206,826,745,804,376,795,863,631,
301,235,084,041,446,677,101,625,866,422,799,997,367,139,412,407,995,107,230,
277,588,512,435,181,489,643,233,465,441,986,831,242,896,843,434,848,522,046,
195,542,041,813,939,690,057,342,569,100,252,231,536,755,289,930,571,808,058,
111,141,686,177,361,528,224,397,923,103,749,421,964,511,722,917,702,031,039,
316,244,451,728,173,367,904,135,047,042,444,624,570,208,783,624,667,571,776,
109,187,320,658,051,716,385,710,639,813,252,763,499,702,714,365,894,110,910,
177,193,868,135,379,707,356,602,180,090,967,303,250,553,807,811,291,778,905,
315,561,081,371,318,309,860,191,185,588,062,289,911,872,432,436,765,012,998,
848,895,547,534,819,081,909,440,513,958,214,003,085,859,850,226,605,873,225,
480,122,233,271,744,653,999,159,943,744,502,409,279,012,408,594,578,398,752,
701,227,958,418,956,128,950,401,022,967,969,353,158,278,017,631,252,473,904,
955,088,606,789,110,257,168,944,871,581,238,006,307,359,176,905,358,001,442,
538,662,695,305,214,634,186,085,214,963,590,738,485,045,375,327,905,993,199,
988,960,419,729,929,137,711,644,379,935,380,241,345,455,274,941,544,867,716,
137,695,871,785,607,168,682,784,665,432,849,533,054,237,574,812,603,661,476,
302,603,272,748,283,467,047,229,347,219,098,564,283,127,276,772,679,202,142,
118,926,084,199,799,179,485,427,872,615,391,513,019,327,338,290,160,256,209,
461,580,245,593,000,344,117,636,948,112,093,345,015,108,782,824,224,017,017,
936,510,641,211,463,050,463,845,096,620,700,832,023,944,696,797,348,861,365,
493,227,212,274,528,618,026,789,689,338,422,520,452,476,018,776,915,588,578,
238,367,508,574,952,571,673,407,456,501,884,421,511,334,138,322,780,888,496,
904,735,487,882,991,277,035,852,154,916,053,163,784,724,900,341,398,910,475,
373,979,424,238,437,815,509,294,092,141,234,713,221,584,239,221,784,786,171,
055,098,396,930,480,982,194,864,509,387,104,543,854,979,013,349,147,185,843,
272,776,979,417,467,882,572,983,987,694,806,367,112,105,945,224,317,405,200,
963,885,121,923,913,114,641,824,508,644,842,923,710,628,070,923,404,608,671,
713,724,492,317,687,987,482,721,140,206,826,762,626,781,372,255,459,136,741,
283,391,822,346,263,836,440,332,126,208,841,404,493,942,779,250,839,223,624,
431,375,473,030,421,106,074,391,710,076,774,528,855,478,511,637,193,010,724,
767,984,880,593,713,284,480,837,109,580,134,780,046,995,688,274,455,736,921,
310,719,410,883,275,797,853,610,563,304,345,109,081,779,960,090,481,664,433,
156,641,003,204,589,402,508,074,832,128,632,624,114,993,923,356,212,965,213,
409,049,692,847,792,048,014,175,055,778,805,699,618,544,680,360,517,972,010,
037,533,978,337,473,602,479,838,889,497,081,924,658,854,300,218,933,068,742,
137,905,166,427,824,649,521,462,950,725,631,319,181,335,279,419,001,786,226,
283,661,981,661,123,239,376,545,830,821,722,647,325,234,537,916,369,961,772,
751,197,737,186,557,932,594,480,636,016,578,714,098,953,523,925,850,227,305,
766,554,823,438,264,655,328,021,097,404,548,407,839,657,113,032,489,743,265,
626,607,798,418,537,335,474,812,042,193,219,915,065,081,578,499,499,579,022,
298,602,633,239,296,854,862,545,428,626,965,770,499,266,010,241,721,116,753,
544,553,453,260,018,635,021,397,497,248,073,992,527,728,000,038,550,847,283,
690,602,003,536,960,112,927,694,054,198,442,546,228,566,885,228,025,038,945,
395,483,794,433,653,334,855,452,719,597,562,108,642,065,655,686,689,121,753,
332,233,304,679,069,522,908,491,077,793,238,064,946,368,608,089,529,528,461,
318,104,721,362,497,786,248,984,598,389,979,844,981,450,090,199,842,942,354,
779,945,189,412,022,558,005,172,440,547,852,001,152,409,994,714,651,164,658,
189,409,126,165,544,129,219,934,681,280,109,069,744,771,654,214,673,341,671,
382,186,973,874,702,807,168,896,881,897,625,136,594,050,511,080,099,614,423,
888,660,178,226,397,947,049,462,196,856,926,693,450,988,403,620,638,381,165,
832,512,468,588,061,303,866,711,590,755,443,346,454,892,926,348,368,302,442,
654,769,714,000,616,303,350,517,230,208,734,206,122,152,754,167,742,855,828,
300,669,804,469,987,523,264,244,676,342,667,179,384,918,003,691,503,196,386,
543,730,321,323,903,227,546,537,833,057,241,764,903,686,005,450,464,760,450,
043,084,720,894,329,885,029,231,506,662,239,455,481,251,918,162,093,913,925,
771,435,158,542,070,819,848,742,615,654,467,815,734,245,439,742,439,259,701,
189,164,024,903,925,228,243,237,567,621,162,130,636,100,051,748,842,486,008,
388,311,896,081,037,068,489,900,706,724,929,255,829,384,147,357,616,048,840,
853,732,911,638,049,735,801,047,847,848,729,641,651,744,659,523,131,280,255,
638,749,130,990,299,078,174,743,371,201,306,182,200,011,544,999,913,551,245,
036,418,456,355,078,973,594,887,454,366,175,713,043,909,302,977,726,634,156,
059,866,839,321,965,123,576,030,437,442,896,646,387,171,186,564,736,476,108,
948,888,568,667,069,069,089,635,961,050,263,216,100,452,655,808,086,991,694,
319,327,974,174,178,651,452,135,893,906,094,929,611,015,683,117,724,232,482,
468,590,550,804,748,182,399,274,507,946,627,201,460,005,531,401,622,035,966,
373,780,548,431,402,584,720,460,536,579,574,103,128,798,585,193,274,732,978,
703,578,872,095,257,915,068,272,663,957,135,896,783,684,916,147,800,656,446,
963,797,513,239,305,072,776,698,322,772,619,068,373,469,065,508,205,599,115,
516,926,181,729,858,337,535,268,696,286,129,554,412,118,846,819,975,228,228,
910,625,835,564,138,947,730,077,828,395,350,461,318,679,802,139,596,026,661,
798,206,754,285,686,273,585,295,453,811,947,189,601,380,067,297,755,566,632,
577,068,578,684,444,338,950,259,688,824,979,940,462,238,381,305,445,383,851,
421,437,556,867,613,911,266,539,099,316,385,781,797,180,023,834,514,266,324,
493,181,205,879,099,215,168,300,792,742,551,797,758,866,698,185,181,733,389,
091,804,510,654,954,133,663,238,676,686,996,322,360,989,146,181,154,419,908,
342,292,718,730,053,919,932,258,056,289,113,095,687,121,476,233,048,948,812,
362,739,859,222,234,242,485,155,464,238,042,016,712,772,118,465,777,002,797,
807,371,043,271,615,532,157,564,637,240,488,039,078,158,113,626,554,984,812,
709,794,777,014,297,797,899,016,572,227,872,250,685,067,342,492,191,629,536,
225,660,539,614,644,872,686,172,159,578,137,955,928,749,080,577,403,608,058,
749,966,701,826,761,537,541,299,093,726,943,651,788,607,144,936,342,002,077,
872,588,625,984,938,725,422,468,789,669,117,502,038,725,222,128,087,926,827,
157,503,233,094,092,057,884,383,137,782,846,452,349,046,128,536,241,389,069,
945,397,163,435,104,719,765,848,713,474,606,964,641,976,176,408,241,427,193,
743,159,377,673,242,607,564,779,128,247,573,093,637,015,513,329,717,214,952,
044,687,669,354,697,857,071,296,146,578,626,540,033,399,247,957,356,948,412,
801,089,594,984,482,696,560,206,806,735,107,936,544,848,287,232,308,466,854,
925,260,379,515,862,978,429,479,690,857,398,243,087,430,083,600,534,363,155,
112,404,000,514,567,431,697,064,079,169,403,550,086,470,190,157,711,179,761,
640,651,080,391,571,368,171,336,118,449,312,302,609,342,355,867,597,811,056,
468,721,733,608,440,926,021,886,592,686,606,390,341,601,987,693,353,489,946,
451,649,556,391,919,424,515,829,608,058,749,140,998,448,556,133,941,411,480,
290,733,181,355,428,484,011,672,213,529,784,816,280,652,239,520,034,920,359,
570,157,140,291,218,199,255,986,035,750,407,451,613,378,423,189,351,883,051,
890,106,474,830,468,945,997,020,355,190,471,684,380,466,758,056,803,435,662,
274,933,572,648,248,085,373,484,841,271,766,179,014,421,882,792,373,409,370,
115,635,137,131,518,369,138,961,317,314,416,844,492,227,355,817,576,367,006,
725,769,279,313,800,516,814,336,078,415,040,890,262,027,068,398,972,434,729,
026,890,542,260,229,173,010,811,461,386,166,581,046,642,981,058,156,413,716,
580,445,258,991,068,245,284,808,814,761,801,427,118,568,822,038,466,397,687,
910,197,611,220,722,372,925,582,244,256,111,313,755,964,257,444,189,080,030,
994,626,686,334,196,559,431,459,399,833,024,803,991,786,448,708,991,094,270,
224,732,339,258,033,760,760,254,869,646,106,492,670,058,398,619,601,238,770,
578,229,098,562,326,460,721,639,325,515,390,233,380,745,082,984,424,336,150,
260,367,034,043,160,028,996,760,762,821,580,810,985,523,653,344,270,801,779,
285,994,180,910,790,569,993,852,742,961,247,092,437,335,617,813,860,781,524,
809,659,699,067,915,036,807,176,492,296,734,254,223,084,756,875,249,659,577,
707,075,897,566,743,206,410,537,729,111,104,050,272,574,078,859,006,949,841,
926,562,053,656,960,719,853,934,334,588,118,703,608,090,613,462,737,651,767,
505,427,152,643,935,271,998,338,936,360,882,179,067,531,538,974,032,133,082,
598,712,359,440,106,794,227,532,254,632,334,069,084,488,370,416,287,684,481,
706,480,588,927,901,589,682,682,593,774,734,739,015,124,816,508,919,959,209,
990,489,408,629,021,693,744,638,215,167,943,278,968,311,020,941,964,622,029,
911,110,835,220,694,247,860,103,886,907,411,303,697,973,099,589,855,759,672,
789,387,540,872,920,461,285,403,370,807,727,710,906,102,825,170,887,179,418,
724,269,692,332,311,013,902,449,946,541,743,609,508,456,722,776,790,797,437,
524,541,884,194,073,525,059,202,260,596,655,639,395,120,961,230,895,649,396,
870,382,918,868,078,207,904,519,018,673,915,586,109,750,374,776,852,833,326,
361,368,050,527,374,493,947,070,513,793,684,928,345,235,501,184,504,578,468,
464,966,949,903,332,463,036,867,242,171,906,181,030,496,392,039,339,645,350,
826,866,703,208,719,843,475,973,434,631,302,078,361,176,512,908,006,160,531,
857,390,917,946,080,115,147,478,661,498,327,550,373,704,895,653,077,121,680,
005,491,740,356,965,581,912,477,243,562,160,341,040,594,165,018,220,609,149,
201,955,439,013,091,984,784,093,724,654,646,335,082,717,359,117,419,989,495,
720,170,194,644,342,576,921,445,734,581,195,498,541,557,924,526,828,071,729,
475,481,724,770,315,053,079,199,711,483,803,827,327,640,187,486,648,194,849,
275,802,208,504,850,092,430,230,241,208,476,389,004,301,495,985,611,486,042,
290,240,006,330,460,577,979,823,059,878,877,090,359,257,841,444,713,123,571,
696,031,650,513,887,086,665,603,564,844,021,159,210,134,773,432,936,112,611,
130,539,239,382,912,310,937,879,101,492,296,831,237,527,046,339,555,747,640,
157,964,263,236,744,278,078,429,572,325,389,031,021,917,777,047,684,032,866,
654,150,905,397,600,346,901,843,548,522,120,375,332,379,882,350,852,202,485,
102,662,862,085,751,109,437,234,618,475,737,343,128,901,112,238,695,691,439,
453,997,773,104,172,350,098,211,514,055,447,089,487,313,898,235,637,315,886,
486,802,714,942,132,609,779,937,619,605,806,057,485,927,073,033,134,796,676,
260,362,277,968,227,084,165,873,536,796,895,420,378,122,774,334,003,009,028,
429,363,676,756,992,695,318,375,190,608,904,511,836,972,615,669,553,776,319,
822,861,278,364,467,806,992,273,192,541,808,631,600,834,230,446,077,132,463,
164,965,097,302,514,943,639,437,640,317,307,857,956,588,823,349,976,962,852,
689,452,399,899,886,005,230,193,731,500,701,814,016,596,136,127,841,108,734,
581,280,474,771,630,267,860,728,458,650,685,322,459,910,230,737,367,950,774,
699,189,407,071,929,201,159,200,795,281,304,543,238,499,325,741,036,735,983,
410,292,698,275,398,595,403,454,873,312,249,522,797,277,782,250,099,243,223,
350,835,552,849,609,241,630,674,802,529,849,017,734,422,135,782,652,842,534,
932,597,236,675,744,595,019,495,316,160,276,555,971,847,464,474,199,449,140,
948,066,939,739,523,719,198,733,042,375,483,933,263,885,271,630,917,647,248,
570,990,201,991,987,949,968,596,707,316,637,068,025,329,789,628,461,523,918,
586,707,880,536,218,684,308,414,463,763,442,525,785,237,257,804,040,283,291,
675,785,364,634,958,217,653,215,209,711,763,040,378,080,356,710,432,301,544,
618,490,283,105,009,441,097,882,929,277,003,728,224,719,100,395,135,555,497,
985,198,960,786,352,840,662,920,460,714,637,850,801,740,388,099,642,047,702,
055,758,824,827,956,577,303,571,962,110,329,685,320,298,841,766,820,702,447,
311,808,366,202,390,910,213,492,724,628,244,793,758,345,235,536,391,079,826,
555,642,346,055,723,060,455,754,483,770,782,836,436,594,925,759,823,962,945,
282,129,347,162,480,185,021,528,603,483,228,826,109,429,323,202,390,682,159,
216,593,903,190,422,091,640,607,571,827,296,627,760,844,271,646,745,902,157,
714,298,346,605,270,861,328,602,203,414,892,785,485,735,466,994,875,268,003,
616,706,123,966,266,014,213,300,937,262,816,767,414,194,322,480,501,102,040,
658,741,328,662,774,034,098,183,641,828,977,054,635,989,388,814,943,520,779,
071,343,795,091,904,165,691,362,782,462,758,855,292,870,954,334,032,883,460,
476,110,515,332,334,755,232,117,051,207,125,722,859,127,948,883,518,337,682,
088,450,283,210,442,444,281,140,767,753,825,512,888,398,175,321,096,958,533,
819,851,620,932,288,781,547,244,314,123,099,585,515,657,848,259,394,989,292,
332,257,698,330,208,499,220,011,138,687,412,851,094,629,468,076,949,380,681,
057,644,958,256,453,163,853,986,082,555,828,304,286,468,996,823,177,525,940,
865,599,250,901,861,502,377,443,719,596,472,662,539,861,482,905,467,849,285,
852,519,448,572,035,265,249,895,272,114,694,535,900,228,215,109,163,118,066,
354,938,192,923,829,172,755,828,954,873,026,605,098,603,313,589,807,076,617,
770,796,511,591,971,237,992,392,438,565,706,756,147,360,250,723,328,401,669,
900,040,665,031,287,271,198,951,237,954,941,224,819,679,602,137,347,750,114,
352,962,369,811,751,762,455,081,452,980,613,050,043,456,470,176,872,859,857,
287,416,403,336,300,324,268,293,049,397,834,560,907,205,382,393,646,292,726,
066,687,655,079,142,719,977,592,134,507,324,877,403,998,141,107,661,844,318,
658,427,174,227,629,716,095,763,744,316,551,145,540,159,990,082,911,632,567,
404,619,165,424,195,080,717,021,779,311,713,102,939,820,784,168,402,123,464,
247,706,183,621,191,902,235,932,281,007,368,201,045,000,720,761,615,929,831,
882,670,678,822,224,072,263,297,281,530,493,620,485,298,218,172,125,181,740,
790,433,764,500,940,302,783,162,835,784,136,209,232,480,667,072,761,624,241,
121,729,727,190,778,695,305,939,464,148,025,510,896,927,156,128,846,157,281,
087,835,065,788,371,325,832,839,592,726,893,036,767,086,266,392,972,004,615,
256,139,289,756,189,979,436,861,363,750,599,491,745,789,249,942,485,595,504,
543,435,829,082,562,572,112,095,872,852,723,381,834,861,510,036,569,691,490,
375,335,559,604,512,051,038,747,467,030,298,215,202,029,512,707,131,630,744,
939,931,914,192,816,854,674,824,332,856,716,966,675,999,799,400,101,337,972,
354,125,161,815,312,494,942,919,599,456,460,668,579,576,867,878,308,222,129,
141,080,634,709,574,699,203,685,016,819,924,220,163,556,851,453,706,307,895,
889,599,300,973,577,616,840,447,292,221,759,670,826,873,069,558,111,298,595,
629,040,164,739,010,896,753,348,991,466,359,368,605,970,790,799,623,313,544,
706,029,919,746,606,822,567,807,933,953,618,083,647,461,394,572,427,129,975,
518,273,155,379,175,238,510,349,832,208,686,779,728,072,079,523,514,782,926,
753,505,045,574,714,147,720,037,764,210,523,947,270,181,840,859,157,002,097,
293,990,840,450,429,748,341,655,610,994,726,904,982,144,094,901,559,712,078,
859,038,114,235,099,358,037,275,634,376,941,724,634,891,058,890,135,801,329,
318,926,264,649,630,133,490,356,365,267,091,486,891,977,858,854,300,761,594,
907,205,509,346,481,268,869,412,664,655,454,037,915,042,446,002,875,543,092,
099,435,893,775,206,775,178,785,570,050,121,052,368,181,369,496,849,955,530,
702,749,762,629,560,737,677,123,685,879,813,616,171,179,592,005,958,651,467,
099,172,157,815,422,300,230,081,840,308,782,281,756,491,027,742,864,178,472,
146,032,660,273,129,500,759,732,245,723,361,271,544,461,684,156,158,285,491,
908,641,165,163,408,100,272,928,049,434,725,146,278,156,133,893,238,432,532,
625,746,125,927,735,203,256,222,055,413,470,331,120,602,447,952,839,115,671,
355,718,292,449,432,456,637,700,611,784,677,234,062,308,119,782,552,442,457,
755,918,907,988,238,104,307,912,691,031,295,837,607,793,046,229,575,530,328,
614,865,586,795,916,770,921,115,784,650,859,453,126,226,171,524,546,692,902,
217,683,909,607,895,583,464,497,444,890,025,054,762,414,417,085,630,607,044,
558,553,872,730,268,369,664,311,526,058,527,750,402,405,460,638,229,345,507,
099,098,038,564,146,310,513,774,286,568,874,508,333,666,411,268,751,503,667,
633,462,939,348,803,136,654,735,091,445,880,890,344,638,630,537,884,978,048,
298,315,793,188,851,728,281,135,000,180,406,285,095,193,115,370,704,066,295,
418,503,858,814,292,227,404,748,049,393,160,823,045,631,200,171,914,324,160,
998,855,283,971,940,263,538,680,517,219,887,999,038,801,077,354,320,573,878,
322,885,741,467,414,934,357,099,003,809,150,335,940,725,442,274,150,651,285,
780,690,341,746,219,502,441,565,060,885,239,618,935,085,702,241,805,850,176,
130,822,605,090,624,700,179,282,975,094,842,648,683,261,975,037,459,649,791,
326,098,548,717,412,281,777,433,169,292,187,108,767,672,607,028,200,334,253,
205,389,155,680,398,293,566,223,696,785,454,713,001,917,829,209,048,582,213,
992,415,470,358,111,245,343,159,328,129,397,057,726,750,008,039,099,263,714,
156,539,836,029,984,380,297,205,519,917,946,244,307,419,339,428,696,105,678,
716,847,807,326,684,442,449,567,412,707,684,318,282,664,059,939,522,744,002,
513,530,158,192,255,966,758,518,647,121,618,522,276,017,925,554,685,423,713,
118,202,187,252,144,312,529,592,479,832,714,407,317,539,129,165,386,767,591,
644,208,783,664,859,991,654,742,312,219,550,658,348,687,175,783,521,553,804,
109,332,562,591,169,302,384,923,226,771,111,824,739,044,185,559,031,449,437,
409,706,988,633,667,173,892,076,809,652,031,225,824,210,681,253,718,053,219,
586,549,426,896,305,464,508,252,523,775,878,667,490,792,634,009,499,754,086,
786,900,549,100,813,383,357,650,777,881,519,706,875,180,754,733,522,231,349,
582,999,413,963,690,756,406,949,072,529,612,041,826,168,222,899,129,295,724,
090,265,317,655,100,271,423,977,292,088,304,733,925,723,964,762,053,443,063,
573,419,867,167,976,453,334,212,114,027,569,756,993,930,623,995,107,441,234,
574,744,937,339,782,008,992,630,103,380,292,550,104,316,513,697,445,397,761,
471,935,835,742,430,066,455,568,154,742,015,255,177,395,827,242,613,924,010,
664,957,629,395,738,962,343,282,023,391,840,558,902,056,111,795,772,612,803,
677,150,581,315,650,476,457,296,925,427,663,748,947,263,228,672,908,924,313,
225,400,938,156,382,818,338,502,158,260,057,444,191,958,660,598,453,965,183,
998,888,370,387,097,348,476,284,203,005,197,910,792,247,211,926,481,152,111,
205,525,429,114,224,219,976,011,082,082,901,018,433,018,520,522,785,047,047,
510,325,716,917,749,743,327,441,050,474,303,036,949,900,074,796,305,346,754,
051,751,748,576,463,088,198,361,387,268,211,897,197,258,465,448,442,036,592,
291,815,945,329,359,135,932,332,946,389,044,783,698,599,349,121,580,540,130,
986,493,475,602,339,947,218,236,014,298,484,667,712,630,807,346,128,862,508,
357,854,935,783,409,900,214,252,644,387,938,950,433,423,217,734,520,468,600,
023,583,557,411,591,663,646,810,311,416,807,406,246,290,429,507,754,554,094,
833,747,280,340,377,743,597,962,344,762,175,167,757,862,741,603,034,698,803,
463,975,419,241,922,613,080,401,802,496,998,931,452,817,025,610,894,875,657,
699,877,663,642,273,773,704,954,075,086,679,414,105,253,059,697,134,267,223,
660,313,282,101,471,022,266,075,893,931,398,076,049,296,323,598,589,173,880,
424,503,344,013,117,416,371,162,947,514,992,093,630,896,574,679,712,093,311,
147,936,169,879,542,649,119,956,362,645,066,122,039,349,582,554,912,473,100,
657,807,764,989,334,685,563,769,175,889,761,407,945,097,673,351,273,310,191,
082,032,834,041,127,838,984,947,651,877,370,026,537,858,617,231,070,241,533,
682,570,599,440,645,959,637,046,973,222,711,921,675,348,511,847,170,785,053,
423,835,226,596,343,467,185,575,219,875,387,278,430,527,642,215,321,869,908,
614,868,896,983,413,798,230,623,977,332,710,477,491,825,826,062,154,690,943,
567,260,350,173,007,682,941,249,413,764,204,004,544,918,430,224,103,536,403,
478,435,630,356,142,668,051,427,993,339,243,654,489,668,001,902,587,312,174,
904,671,499,608,613,496,996,550,269,443,668,190,777,354,790,280,236,295,892,
155,543,549,353,200,755,206,381,470,460,702,409,735,643,231,091,089,378,678,
312,076,189,923,168,138,209,510,065,675,358,241,796,475,179,941,017,507,252,
481,134,246,883,330,134,318,462,139,031,221,244,736,817,288,387,202,416,019,
214,040,862,864,211,279,735,936,616,908,295,863,870,652,620,573,199,294,462,
962,242,890,558,012,174,140,716,704,535,830,575,632,936,834,741,551,937,078,
037,763,824,683,946,963,576,539,327,200,462,456,352,891,172,316,997,389,257,
336,804,226,923,110,040,681,532,757,112,364,014,000,152,323,212,934,653,842,
558,123,545,700,603,421,922,832,353,464,744,074,541,623,073,307,920,356,049,
844,688,740,532,999,787,557,098,519,212,956,342,729,620,285,301,199,303,927,
408,067,928,571,560,064,021,908,135,731,412,817,294,568,302,859,414,065,284,
606,323,991,555,726,399,709,952,059,334,101,685,594,295,310,586,559,292,038,
888,611,839,698,330,852,181,129,972,366,677,357,943,500,348,843,469,377,373,
547,725,198,134,005,838,612,868,329,374,741,768,183,792,990,601,412,799,222,
221,061,699,656,610,823,146,220,784,505,156,364,824,948,618,175,937,255,958,
584,947,700,508,387,837,511,594,846,659,015,675,864,020,965,486,632,548,486,
473,183,386,371,980,677,130,095,906,005,543,464,290,637,040,454,098,936,833,
629,093,033,231,684,745,609,317,647,736,143,787,673,324,459,110,822,936,532,
120,443,039,488,341,357,905,220,932,820,894,046,711,103,566,858,634,960,490,
593,097,424,127,508,542,834,782,018,511,251,018,576,066,328,279,894,602,530,
129,416,077,457,141,618,585,435,983,068,625,331,289,976,349,708,460,115,236,
844,989,792,726,616,127,845,748,132,654,614,786,688,110,399,857,586,676,185,
261,475,679,129,425,861,873,264,614,322,727,830,306,408,663,202,776,826,199,
140,721,910,818,999,767,703,286,798,938,654,424,882,724,302,465,908,361,854,
287,610,804,789,921,143,695,995,390,470,174,950,402,890,994,614,815,980,341,
788,400,035,179,944,918,309,054,292,210,853,118,993,682,461,238,587,278,288,
701,258,028,929,853,735,796,510,465,645,975,353,638,862,806,785,781,655,620,
975,154,208,820,562,278,101,400,257,490,292,267,787,988,341,838,572,263,388,
365,700,261,574,558,390,324,692,218,741,695,633,098,846,815,252,676,002,612,
026,392,292,521,728,292,248,678,421,401,803,048,889,536,297,115,392,705,946,
966,464,333,334,505,804,865,510,751,964,047,616,694,312,881,029,949,637,199,
866,142,329,226,040,889,251,038,809,970,221,765,870,954,595,936,230,592,200,
846,415,059,252,335,091,945,651,621,014,025,973,370,999,619,430,205,756,035,
087,077,323,406,526,487,258,668,492,388,693,854,890,667,087,418,608,442,660,
903,696,362,525,367,144,113,521,182,762,792,772,216,212,564,549,521,744,612,
513,464,055,394,047,811,381,563,387,868,928,975,943,549,637,391,588,477,445,
684,972,605,914,545,077,003,750,930,800,002,145,618,839,489,245,027,730,516,
341,652,871,739,937,744,827,049,522,147,596,441,350,282,546,196,419,804,892,
251,941,637,425,982,979,485,243,223,867,943,479,090,502,839,783,517,820,155,
163,584,447,516,592,206,781,685,594,200,389,569,349,260,339,716,843,553,602,
204,066,280,137,993,058,836,150,684,722,236,587,298,838,790,987,199,466,905,
227,657,140,759,935,500,918,110,138,031,701,375,935,059,758,151,513,958,613,
066,721,915,029,743,930,607,912,983,231,970,838,187,991,568,601,217,550,344,
790,032,749,765,554,913,190,095,420,418,131,558,708,016,776,621,583,672,844,
580,603,679,959,334,078,556,701,751,185,126,752,200,002,454,145,582,687,029,
544,300,602,994,214,957,997,028,381,439,567,241,069,130,254,547,132,512,231,
029,333,119,979,268,692,061,498,971,033,921,271,379,686,861,845,221,165,604,
835,514,165,414,539,962,025,133,651,986,832,049,256,763,211,247,784,157,547,
607,951,097,898,012,333,944,729,635,879,675,574,868,482,647,117,751,831,405,
737,146,488,196,411,398,784,985,062,337,370,717,800,005,433,607,157,688,361,
038,144,871,359,057,897,991,759,837,405,191,485,962,101,838,495,240,752,821,
901,072,949,613,660,795,572,397,676,798,575,317,598,257,300,955,989,392,540,
933,868,351,505,308,834,705,404,600,033,089,014,691,439,887,992,200,415,695,
128,056,727,832,150,765,130,970,686,863,492,323,538,311,054,259,058,056,486,
269,646,024,547,027,239,793,137,789,880,664,631,272,246,457,033,775,881,157,
943,713,135,429,835,489,355,371,465,327,423,111,220,183,599,328,244,476,034,
947,593,150,188,739,223,343,868,379,532,155,303,709,082,600,823,340,113,217,
013,385,476,012,292,565,805,478,888,530,098,639,448,749,240,896,067,816,600,
756,003,212,076,604,806,020,191,096,674,258,073,314,068,706,011,266,628,470,
366,238,215,825,856,790,449,372,814,910,533,256,259,070,774,908,089,084,265,
385,122,891,353,294,174,669,236,643,171,987,872,112,407,148,589,851,055,141,
486,207,823,626,828,562,273,415,958,815,578,207,053,537,174,881,628,083,768,
318,459,945,028,385,907,631,758,496,713,106,083,349,593,394,129,813,230,335,
799,966,344,671,085,797,956,245,133,427,746,502,872,823,930,026,883,702,737,
651,619,722,817,847,793,749,129,061,890,836,679,912,120,783,786,620,475,408,
729,121,833,193,501,651,886,849,906,747,846,376,019,710,822,994,578,899,050,
508,902,245,647,856,578,271,549,521,136,396,085,152,033,547,692,075,775,442,
753,043,712,706,572,623,041,816,401,974,621,393,063,997,173,570,908,585,732,
746,303,472,092,399,818,321,209,365,818,389,605,097,382,936,414,079,548,605,
143,123,732,671,299,728,673,554,927,121,040,714,745,220,715,833,783,358,948,
463,501,140,580,857,138,777,293,444,752,934,191,507,415,980,750,682,524,187,
089,490,242,232,358,664,117,514,219,144,116,711,418,001,850,529,743,865,440,
401,419,962,179,055,496,528,290,408,891,888,506,752,405,163,975,690,369,916,
122,396,977,856,275,553,007,705,078,530,116,418,800,448,252,944,480,488,271,
818,095,587,616,725,892,612,662,756,469,112,610,888,652,539,119,696,286,319,
663,012,650,744,921,110,567,440,822,906,443,489,124,052,102,487,187,338,133,
852,465,549,583,663,528,000,107,076,924,586,044,794,715,689,790,664,705,890,
470,575,945,630,206,871,400,992,118,328,341,932,740,242,997,347,128,341,191,
036,649,605,278,113,207,903,228,461,475,471,420,869,008,497,586,028,298,718,
691,334,393,982,020,948,440,538,285,194,098,578,841,695,908,248,059,020,018,
324,580,093,434,732,986,234,842,190,595,169,324,000,952,354,329,205,631,036,
601,658,080,957,051,642,851,072,328,979,051,757,077,358,447,241,406,642,680,
065,506,459,033,772,187,362,960,767,851,204,461,487,964,679,993,279,702,791,
105,644,313,580,360,640,959,416,763,231,160,115,085,944,446,286,734,662,707,
462,712,715,165,386,603,619,489,457,124,948,914,580,938,462,833,647,199,778,
762,539,761,434,732,885,446,612,958,117,846,813,254,585,021,424,248,884,224,
667,390,297,892,630,234,345,294,445,235,343,654,235,779,984,319,484,761,203,
182,996,008,952,062,326,760,719,364,559,600,683,989,009,975,890,295,877,773,
697,371,140,433,328,461,626,841,550,533,252,495,812,385,593,164,187,280,477,
853,453,185,188,222,733,583,449,391,645,168,401,528,270,243,454,766,436,796,
871,811,682,696,692,038,299,675,662,460,881,723,012,158,853,302,406,070,936,
821,863,611,940,723,128,688,432,618,455,644,761,338,534,168,491,425,273,701,
679,893,051,409,311,182,590,802,736,508,984,817,001,098,867,504,914,081,878,
881,226,963,799,001,860,318,224,569,250,376,838,692,188,135,161,261,105,916,
256,853,235,385,157,789,721,767,193,881,681,109,628,129,948,957,158,109,670,
818,649,523,393,949,675,270,832,025,264,659,839,289,310,526,493,420,485,936,
246,787,543,132,081,471,904,565,007,122,292,737,121,768,822,334,252,409,128,
959,727,909,467,200,309,591,839,091,416,321,647,224,472,854,101,353,029,633,
920,922,988,875,695,120,192,714,745,852,592,804,944,692,800,364,227,807,706,
114,904,727,499,663,829,301,087,442,358,936,332,524,984,024,305,738,951,220,
317,257,656,785,978,455,222,830,156,383,221,084,177,610,394,617,246,626,916,
813,940,660,520,314,502,807,526,740,040,534,761,492,707,376,464,368,803,072,
926,310,667,939,951,794,421,193,900,401,485,744,883,008,793,913,411,558,230,
172,498,707,069,509,324,026,332,513,436,357,547,866,207,056,691,069,451,466,
609,428,949,432,988,797,988,768,848,691,977,852,373,519,052,443,102,173,899,
573,256,057,379,829,302,981,827,231,553,145,264,301,685,974,726,153,490,521,
557,728,647,346,676,680,626,522,523,675,733,282,270,550,302,334,190,225,283,
606,635,186,829,155,384,733,138,652,499,589,350,716,467,972,868,748,766,088,
530,432,942,422,645,300,262,014,177,438,954,960,170,693,434,947,988,662,963,
260,582,878,617,675,598,902,563,346,700,344,830,674,548,500,505,590,912,024,
885,774,233,138,337,640,686,225,198,133,167,888,392,312,489,704,757,472,017,
936,999,528,915,888,594,418,607,232,030,166,610,108,080,240,284,993,283,235,
971,858,148,653,472,820,826,733,164,836,574,735,133,382,392,397,785,543,419,
418,546,047,718,269,158,875,942,176,645,478,094,530,852,382,558,447,489,146,
573,172,322,839,622,137,124,210,706,522,739,344,641,200,402,703,673,831,722,
471,752,063,611,976,510,992,484,476,203,936,132,417,178,439,575,234,721,011,
490,165,329,044,351,270,987,043,136,973,540,867,432,888,913,009,264,464,050,
286,292,635,386,840,649,036,349,270,627,143,550,724,922,283,653,332,746,369,
305,496,835,028,365,535,594,306,710,499,439,461,962,862,759,449,040,625,114,
860,670,304,979,301,976,903,659,288,821,066,441,423,234,965,753,296,017,246,
923,982,640,652,484,443,787,341,194,044,565,218,653,735,472,914,741,757,386,
515,327,143,629,874,350,106,805,115,142,888,564,218,119,394,439,315,625,720,
011,677,033,332,278,061,841,297,343,444,899,362,002,734,063,632,539,047,948,
974,630,773,251,973,379,196,894,726,506,265,219,026,358,296,175,292,836,799,
373,185,239,633,297,190,354,949,016,542,762,870,827,065,165,653,190,105,914,
755,203,723,237,330,836,258,660,004,103,720,303,904,116,147,772,495,359,291,
236,701,148,454,933,460,129,394,041,247,521,966,160,289,189,505,148,036,848,
620,814,838,027,018,300,611,184,383,846,525,602,100,693,755,666,380,034,005,
313,133,784,647,977,785,221,444,718,074,290,211,965,808,325,508,534,735,799,
670,455,546,575,700,374,679,538,535,111,364,398,442,183,693,441,417,041,513,
844,742,736,185,127,564,776,061,320,453,949,666,926,796,567,552,764,168,675,
943,508,652,713,424,951,179,747,342,113,782,782,179,905,957,037,400,570,377,
999,131,367,174,944,304,561,505,960,157,152,174,733,682,146,617,137,613,200,
647,148,567,734,589,776,344,521,053,329,897,032,826,572,903,214,443,583,844,
704,564,032,295,437,128,622,171,313,288,998,098,070,685,086,599,192,017,034,
621,437,133,622,118,359,913,496,555,650,826,862,355,183,337,936,800,069,181,
064,947,186,402,066,030,070,514,216,812,965,565,829,869,609,333,774,326,335,
583,272,074,810,783,684,211,974,749,800,762,076,798,361,037,573,675,110,535,
830,739,782,514,420,116,167,220,074,994,202,688,922,725,638,623,180,648,289,
129,822,542,198,792,803,186,086,613,054,947,858,816,594,466,584,748,558,768,
619,510,668,475,977,662,382,393,411,140,529,285,955,514,780,993,481,377,375,
094,340,257,544,926,893,380,798,330,167,190,914,302,407,705,380,411,155,522,
651,218,875,441,151,014,758,259,057,032,112,086,850,103,034,535,031,584,491,
475,281,509,300,386,866,857,487,089,330,792,608,759,080,965,638,973,511,264,
048,567,060,279,530,861,363,273,937,184,622,746,360,248,097,291,753,278,966,
599,469,189,089,865,616,853,874,772,582,918,834,868,073,045,035,566,130,576,
664,696,819,210,039,318,867,807,235,431,307,480,828,785,562,594,545,236,434,
847,527,296,425,425,886,290,830,844,065,317,095,009,690,568,531,929,625,429,
777,436,014,163,339,839,065,392,749,461,077,632,950,991,582,506,909,575,415,
051,716,569,411,952,252,321,194,987,684,205,180,919,255,020,629,582,078,930,
413,098,637,821,907,483,497,624,148,033,349,184,176,776,095,221,220,990,467,
136,714,570,212,015,487,038,829,093,487,708,269,966,123,791,119,035,680,991,
628,242,603,675,188,601,659,701,181,264,890,189,116,670,144,333,396,771,546,
473,438,280,496,431,320,454,989,073,350,490,668,813,114,736,979,643,768,882,
086,943,486,661,255,160,458,436,623,510,152,511,489,632,328,672,089,125,979,
501,924,365,318,314,838,150,856,408,044,020,538,712,852,285,880,390,120,204,
296,873,670,879,527,964,822,432,261,770,483,964,526,063,544,482,236,274,503,
211,978,579,005,214,597,088,599,697,308,636,731,709,510,379,976,978,423,914,
304,355,926,779,728,619,351,269,442,530,905,286,919,789,923,378,702,060,877,
174,305,313,721,667,622,252,247,283,200,591,390,018,032,950,499,089,288,441,
434,384,740,781,644,800,509,389,249,035,565,504,664,816,342,494,803,117,024,
974,152,432,835,694,941,511,710,516,697,705,192,161,794,128,913,684,950,649,
769,839,846,554,363,573,777,341,868,217,176,706,993,107,491,425,458,767,027,
938,247,940,230,933,423,220,423,059,831,716,291,064,102,086,100,395,700,004,
923,039,714,691,519,018,205,816,577,246,050,542,812,670,752,617,945,396,983,
066,009,558,946,820,728,570,416,633,111,771,548,331,197,575,010,838,654,173,
103,960,150,618,448,606,238,721,878,444,786,393,134,951,549,434,945,605,649,
298,135,528,724,220,105,394,087,624,131,568,062,215,877,099,421,757,900,565,
577,011,389,396,081,461,418,050,413,386,672,844,812,720,026,787,521,860,659,
007,725,537,481,334,454,583,928,565,832,583,842,909,199,616,214,704,160,288,
949,225,391,581,363,498,946,445,587,849,390,811,060,853,829,246,622,293,739,
876,048,192,560,196,331,622,272,955,052,989,001,094,009,132,140,697,346,929,
858,661,102,692,391,924,118,055,243,977,103,041,458,086,572,810,669,697,030,
396,422,122,183,754,022,332,108,801,794,844,292,800,895,867,424,413,275,320,
455,925,482,970,108,744,660,896,839,288,342,179,585,708,766,685,737,967,315,
806,489,281,992,151,191,501,280,153,637,987,675,990,739,084,195,655,184,126,
689,261,693,949,378,737,487,045,049,266,172,990,667,779,983,137,798,647,017,
411,515,236,930,115,294,300,039,846,385,573,741,833,447,337,246,233,200,688,
308,448,786,917,546,667,976,070,488,927,435,213,585,367,358,498,129,717,941,
530,464,946,062,408,390,119,879,247,974,006,583,281,899,030,621,747,001,825,
143,598,902,575,708,794,913,381,764,843,874,986,192,811,381,239,777,460,774,
904,110,350,177,998,286,714,209,135,163,911,604,447,605,138,009,271,666,940,
058,240,812,465,169,457,292,245,789,615,859,533,435,841,149,942,721,232,736,
882,650,923,445,159,287,538,102,450,525,001,076,144,287,895,974,107,565,276,
449,950,882,602,244,117,167,573,342,852,504,714,445,549,439,903,636,773,093,
271,315,922,378,170,028,346,197,813,556,603,924,666,424,962,790,410,177,820,
316,043,707,651,646,882,997,533,303,402,055,555,879,380,848,554,100,757,451,
026,691,738,929,076,807,558,944,648,910,672,844,942,040,983,725,437,212,734,
761,171,811,761,030,633,758,674,765,147,846,898,039,332,520,642,413,640,673,
855,507,566,920,933,710,595,889,678,570,891,581,516,264,729,671,527,960,976,
106,244,603,135,347,849,479,293,698,663,526,051,520,406,016,681,455,630,844,
464,335,670,983,241,673,847,993,399,986,208,503,759,550,975,893,542,661,747,
633,173,241,225,327,155,171,817,713,988,339,978,849,704,893,351,374,182,280,
309,101,694,328,555,867,718,133,982,330,684,826,054,126,883,201,843,690,049,
757,824,552,886,112,649,747,923,258,151,173,542,964,601,454,102,856,655,312,
320,212,169,289,067,677,800,082,374,569,557,954,282,856,641,952,373,092,711,
062,023,476,593,242,926,769,250,697,956,978,879,989,557,165,730,344,624,745,
531,128,095,138,300,626,120,364,390,250,257,519,592,747,190,211,311,262,514,
932,673,205,448,151,232,997,326,454,109,788,147,798,612,301,702,078,816,126,
466,081,456,130,169,466,199,960,997,869,108,001,987,731,848,685,707,940,942,
956,689,029,581,081,703,180,983,812,644,879,611,538,565,220,379,848,870,257,
001,102,532,495,777,025,976,832,567,978,273,904,778,898,335,994,263,098,417,
581,337,349,146,520,853,221,930,552,947,412,817,837,732,370,893,144,331,773,
233,471,353,700,147,246,411,560,743,841,087,333,277,418,255,040,861,314,837,
532,563,819,755,328,173,001,678,612,332,949,526,345,811,667,999,476,538,099,
705,130,853,301,626,343,915,959,647,647,975,461,420,911,462,245,687,502,275,
718,266,830,871,263,955,566,792,743,963,326,441,839,565,966,946,460,349,184,
753,118,074,402,102,336,296,498,819,059,830,755,238,396,244,969,531,480,327,
523,934,227,556,713,372,589,484,672,315,465,444,400,261,350,083,906,493,137,
276,900,569,823,599,772,533,091,465,698,772,560,242,575,322,962,489,916,965,
423,347,290,402,487,381,294,556,573,642,058,815,606,887,829,912,556,654,273,
861,972,012,109,149,608,126,829,993,785,605,968,327,823,440,454,599,254,847,
079,495,605,058,516,712,456,603,359,735,405,718,575,446,634,471,192,346,138,
642,700,529,969,854,197,820,071,126,385,057,328,743,526,207,996,421,773,094,
945,192,423,809,766,054,408,789,403,361,670,345,203,539,508,136,927,113,535,
561,147,903,919,863,814,431,196,480,106,660,591,333,013,175,846,124,562,175,
035,502,215,681,600,014,822,928,652,096,822,608,643,026,207,819,096,193,220,
680,073,860,456,997,303,974,196,180,792,597,513,375,143,072,527,844,963,382,
830,372,322,893,667,545,046,329,308,474,881,418,447,303,542,659,387,368,324,
051,122,123,247,931,721,344,460,571,671,860,976,604,683,764,718,835,300,782,
787,110,690,931,481,782,290,380,758,252,984,127,257,923,097,356,889,558,345,
472,360,094,314,477,008,462,643,384,826,697,323,125,944,475,933,892,343,149,
841,511,623,999,659,722,216,757,847,392,621,902,451,868,808,176,299,773,715,
461,146,279,809,918,056,626,970,436,071,337,975,482,551,336,252,322,133,065,
246,544,439,253,407,930,601,529,278,710,538,630,940,616,560,826,758,028,014,
050,318,623,889,836,270,022,405,678,132,471,447,252,371,990,991,071,183,564,
182,439,863,806,375,697,401,090,696,763,582,775,570,483,621,055,145,443,401,
587,769,652,146,396,421,033,004,841,339,321,114,051,595,304,863,196,600,538,
933,276,465,631,663,688,435,342,747,011,658,558,239,325,020,911,158,598,592,
807,922,833,658,065,080,261,985,052,255,389,553,970,712,641,512,070,145,746,
495,313,809,732,572,131,168,749,502,287,439,200,605,325,219,232,260,758,872,
405,414,756,633,533,530,412,854,188,805,844,318,385,702,184,599,970,081,489,
324,279,262,678,035,296,613,188,167,174,350,903,794,007,406,197,102,259,219,
924,001,762,498,540,098,627,663,489,461,595,101,668,183,622,652,239,752,544,
749,495,478,805,480,290,839,576,452,883,689,174,353,882,713,543,691,278,298,
161,617,643,916,588,971,868,966,045,597,199,190,117,930,352,839,080,444,751,
535,744,910,908,388,948,244,205,880,999,420,324,962,583,031,966,911,400,710,
046,305,756,983,368,422,878,452,106,802,781,912,405,877,100,311,147,483,017,
866,954,411,373,513,002,470,162,971,147,715,028,837,461,659,894,829,507,916,
585,259,661,624,502,423,384,829,968,867,280,422,219,212,890,806,919,805,234,
377,692,574,613,538,852,256,451,473,004,160,300,721,602,174,788,671,351,458,
773,651,435,646,325,377,992,169,059,548,367,513,283,421,982,151,160,880,439,
626,814,998,422,756,696,162,795,958,097,025,517,125,208,477,137,762,308,893,
966,827,684,220,280,998,217,481,804,239,296,718,643,000,008,001,706,644,777,
413,627,205,459,175,763,186,089,622,135,847,024,484,259,007,999,190,147,369,
124,416,021,496,378,841,303,015,823,504,573,209,695,905,272,419,915,409,407,
140,162,961,939,808,124,993,255,832,736,435,552,439,372,621,885,893,413,827,
016,572,549,374,340,532,298,829,164,576,261,093,868,076,663,766,677,734,694,
844,499,831,373,498,037,297,504,505,016,072,630,893,068,201,827,553,526,091,
788,686,670,047,045,548,583,179,834,346,232,927,169,464,798,936,018,326,546,
538,982,884,586,795,990,782,989,237,803,290,724,476,391,345,750,111,570,055,
176,242,931,255,422,456,516,161,987,912,081,933,363,842,816,267,621,563,901,
177,337,534,019,536,385,178,529,492,974,949,543,924,140,838,815,086,635,488,
677,565,838,574,627,363,887,874,792,514,229,037,715,517,512,529,879,765,671,
108,471,800,482,453,817,743,387,705,142,946,991,045,536,299,763,564,130,971,
553,635,135,432,633,569,095,457,509,044,257,559,702,955,438,420,611,215,524,
553,627,959,863,262,081,995,817,708,030,088,557,805,383,676,432,356,128,142,
723,694,829,546,253,000,694,841,863,809,489,303,800,361,591,321,086,397,754,
421,453,983,388,663,753,873,807,443,431,057,794,432,860,820,466,446,280,109,
298,306,393,181,886,608,340,215,492,295,379,597,354,276,095,272,457,335,408,
226,281,858,286,001,229,344,521,867,870,977,773,326,104,906,668,156,683,338,
894,062,880,664,631,466,013,494,211,569,567,210,480,400,955,462,965,225,788,
984,175,087,095,920,750,836,285,683,702,991,556,580,908,389,686,390,862,628,
242,624,143,012,887,606,958,516,832,123,678,743,140,335,062,622,707,853,240,
558,458,373,049,438,989,237,510,820,176,090,847,834,186,257,750,972,154,975,
631,040,686,669,351,171,701,261,339,715,960,800,053,166,778,080,273,602,533,
528,871,442,209,790,671,764,232,900,768,822,811,325,768,652,757,250,713,255,
898,495,883,350,922,930,490,407,604,822,734,173,038,338,189,431,487,975,478,
039,741,712,596,837,807,871,912,491,762,320,836,434,125,889,290,375,516,509,
120,984,253,864,585,537,584,199,773,702,716,007,498,379,039,388,472,887,576,
864,897,790,238,000,235,365,559,039,311,526,911,465,705,901,669,809,203,352,
801,456,455,516,717,098,061,136,976,713,805,628,667,091,335,757,873,878,137,
817,113,632,006,862,415,446,651,900,222,298,274,816,399,175,224,031,400,756,
306,355,603,985,229,606,414,634,014,142,609,288,409,381,572,759,734,126,741,
370,846,629,208,355,832,102,637,555,746,592,451,413,610,671,224,729,564,168,
112,753,876,870,840,546,429,115,082,674,541,443,948,963,708,878,104,738,728,
545,723,029,409,297,614,797,176,171,379,656,883,637,675,941,636,557,965,380,
856,554,079,887,532,605,864,815,406,951,927,209,888,168,957,700,856,865,399,
647,936,211,652,371,911,444,034,918,035,855,478,555,142,712,589,257,671,587,
029,929,725,357,310,095,428,886,425,808,585,833,939,753,426,683,821,862,910,
292,291,728,524,988,106,717,997,758,086,712,709,827,293,907,825,644,193,124,
295,308,670,150,220,059,045,929,573,709,821,233,519,381,270,174,095,421,077,
309,975,548,335,584,488,446,344,005,487,965,302,283,685,858,198,120,364,092,
279,578,731,310,485,972,175,051,216,545,123,556,793,040,664,183,483,171,550,
956,025,226,469,680,716,950,170,867,524,442,385,015,491,910,725,201,848,981,
344,550,089,757,396,827,383,311,012,075,293,412,105,120,402,909,357,552,010,
665,020,158,466,827,650,097,532,620,720,983,147,585,173,336,380,444,812,934,
848,954,098,684,180,090,822,916,703,270,679,176,751,418,666,780,968,318,428,
656,580,066,991,771,990,670,211,290,509,249,674,491,010,432,833,707,978,148,
192,552,904,691,711,464,438,067,686,309,185,921,919,888,037,690,136,980,808,
722,796,944,938,182,236,819,191,843,934,869,959,318,200,470,687,238,424,194,
901,533,709,991,514,268,198,830,792,795,787,485,004,138,019,952,432,055,235,
582,811,948,636,418,441,951,471,848,240,945,991,243,567,167,096,427,561,627,
313,604,976,419,463,817,129,074,474,072,150,112,687,418,864,371,758,379,550,
993,888,830,327,056,895,700,339,064,018,091,960,405,815,452,814,153,731,014,
610,353,772,972,710,131,781,363,564,553,651,376,642,039,426,362,055,090,135,
418,145,197,385,201,385,429,645,419,230,853,013,528,709,223,319,757,136,432,
434,613,519,366,128,046,169,543,225,181,148,492,710,356,409,906,208,974,324,
624,424,317,580,124,578,306,745,511,145,071,347,727,684,132,906,445,883,593,
042,938,016,937,361,925,687,325,925,206,490,025,850,361,522,300,610,273,191,
364,508,316,205,034,415,995,314,934,804,662,996,957,952,997,545,155,940,574,
278,361,500,610,418,689,679,904,251,350,592,295,350,915,259,911,982,898,928,
987,521,209,606,075,508,667,594,020,743,234,367,980,794,624,633,387,252,124,
863,614,820,030,280,334,905,503,575,969,880,980,815,332,347,841,973,967,256,
508,078,388,531,968,530,183,959,823,190,676,414,882,657,123,653,424,822,782,
837,148,934,652,720,938,488,404,897,204,519,825,332,740,404,778,336,519,968,
681,945,485,083,569,539,897,707,060,236,528,712,519,215,598,812,902,746,396,
319,507,693,225,243,624,439,308,225,281,434,806,171,238,027,404,246,249,626,
333,345,933,418,259,796,572,695,909,147,010,742,573,575,287,217,696,079,907,
047,942,932,043,363,775,327,487,452,838,383,421,239,447,812,981,719,324,642,
839,648,787,821,331,256,646,592,180,779,753,407,221,637,261,465,926,709,481,
612,196,169,580,280,419,816,736,682,484,483,521,620,908,450,607,126,235,757,
209,431,343,055,765,585,292,706,513,709,810,683,040,795,285,454,046,581,803,
743,764,005,982,038,373,961,102,313,582,837,683,052,679,124,893,528,291,217,
908,723,806,851,057,068,171,224,365,057,959,428,158,098,081,927,448,823,159,
370,919,214,991,215,442,354,574,662,829,365,723,997,937,621,027,236,357,203,
241,567,207,778,320,356,602,972,641,683,648,592,983,441,757,803,418,799,919,
180,093,507,734,915,468,540,824,734,520,419,101,838,503,599,284,762,160,587,
838,849,065,011,954,582,269,903,110,978,671,011,720,000,819,427,577,402,939,
995,738,999,550,969,286,578,835,875,166,566,972,461,546,051,289,788,150,739,
080,783,777,556,589,496,492,482,954,388,898,031,003,883,078,008,180,262,699,
094,969,721,026,407,471,363,081,589,393,088,865,150,840,030,678,603,062,720,
123,177,748,889,971,949,165,638,692,724,710,852,495,162,869,348,006,530,883,
103,027,443,564,696,987,361,673,595,714,860,525,637,159,661,929,340,433,003,
120,403,431,838,602,059,353,741,224,836,545,466,464,636,868,715,300,737,029,
137,112,651,256,785,793,315,552,540,429,266,474,706,201,414,678,232,596,824,
955,131,069,579,736,717,130,919,688,283,821,357,635,018,261,733,097,462,683,
853,503,187,163,426,837,991,853,351,922,034,469,902,638,140,969,239,939,254,
101,493,898,649,989,362,014,021,869,982,517,184,852,168,441,780,147,114,472,
422,091,109,421,386,033,569,529,504,408,645,589,775,282,697,025,938,954,011,
729,084,083,242,930,489,143,775,969,309,609,884,693,069,357,901,155,738,160,
344,555,928,206,376,295,323,636,045,515,604,497,285,140,183,739,319,337,405,
271,034,404,802,503,596,220,242,325,949,348,166,473,367,784,065,129,325,581,
788,996,753,803,442,571,824,742,505,862,997,434,141,457,329,195,929,774,438,
904,464,498,856,367,649,848,825,775,396,312,697,346,148,346,243,081,239,340,
671,297,103,755,624,486,795,716,055,468,461,826,699,420,793,590,064,592,756,
821,724,517,653,079,775,139,096,322,438,748,989,901,154,880,569,750,359,675,
131,304,604,057,541,963,587,167,234,201,172,953,688,599,893,197,608,436,292,
035,196,276,628,157,262,505,507,418,738,442,174,676,654,939,163,532,279,289,
897,147,014,194,189,714,199,921,226,204,519,467,220,056,213,444,180,088,017,
825,926,078,380,851,557,962,180,199,006,740,832,715,882,670,731,282,356,254,
344,437,373,588,799,554,491,291,707,596,510,745,897,943,812,265,388,642,333,
761,099,495,260,538,118,630,060,540,390,788,316,402,213,897,491,918,593,036,
277,814,741,363,132,504,694,936,856,494,745,931,920,176,492,895,585,134,326,
262,816,076,894,220,728,268,327,620,099,366,716,987,831,558,736,347,746,720,
516,616,754,973,955,656,652,717,208,814,680,651,826,747,201,857,152,062,343,
696,079,489,949,607,124,686,322,962,737,593,633,145,333,388,565,595,052,963,
699,117,631,747,793,308,385,063,683,201,190,043,935,178,268,575,040,376,606,
274,655,098,059,933,237,557,670,675,425,385,228,894,779,590,523,423,469,282,
450,225,374,728,914,086,424,038,665,134,722,037,037,065,219,046,606,985,812,
776,897,884,438,422,662,395,513,338,007,791,900,719,414,588,823,281,846,385,
171,640,312,939,549,065,668,026,475,504,827,069,062,192,416,308,704,506,474,
474,922,863,710,009,847,662,500,451,544,057,596,208,711,116,522,672,800,342,
057,552,313,278,988,411,137,633,501,586,771,729,270,514,225,337,087,661,604,
865,724,347,038,387,148,843,562,503,311,338,816,083,967,476,314,807,012,871,
201,968,968,310,978,795,364,950,752,465,089,735,838,922,748,957,388,253,631,
091,176,109,167,419,715,416,896,286,858,851,491,905,381,016,195,651,525,303,
636,094,977,331,284,249,440,083,286,937,889,958,468,943,124,948,349,755,191,
867,289,463,874,080,312,030,618,005,889,107,376,705,004,358,468,625,338,508,
337,302,256,563,895,574,425,311,771,186,668,103,328,903,130,579,982,255,101,
580,997,752,200,833,603,044,297,623,957,727,972,256,854,140,731,306,856,078,
728,928,971,210,119,390,747,831,265,441,513,894,117,961,215,872,671,433,092,
896,211,383,735,575,721,961,703,282,879,437,876,282,310,388,805,748,121,554,
539,117,096,282,671,486,002,379,903,172,884,820,793,684,149,141,282,100,494,
940,317,595,418,237,377,317,714,094,736,613,082,409,045,539,674,123,740,567,
992,551,144,802,297,140,058,886,168,481,997,112,255,033,964,767,531,116,513,
107,978,711,130,855,420,224,415,059,169,641,103,908,101,432,954,569,631,205,
995,005,695,997,260,828,316,679,042,051,951,277,316,322,511,619,689,853,778,
240,284,130,251,445,927,860,624,888,266,394,579,614,381,908,889,537,372,091,
533,150,781,212,013,860,976,270,818,477,287,746,308,229,215,274,883,008,092,
007,712,305,980,735,677,609,387,038,688,486,087,921,188,703,714,178,555,973,
008,360,433,304,569,101,240,038,325,723,666,519,273,006,564,129,575,555,190,
964,751,222,228,367,354,553,043,595,486,735,148,996,319,294,385,881,231,422,
350,296,552,328,599,842,313,930,293,593,993,222,230,447,516,212,556,700,585,
892,783,735,549,717,009,256,144,342,699,829,265,979,534,674,788,679,209,149,
590,218,010,914,435,007,296,193,563,435,879,713,540,225,295,622,200,938,235,
831,687,852,887,443,855,769,582,647,154,009,094,704,411,283,777,149,423,333,
584,321,029,083,305,512,013,721,645,934,135,350,728,755,463,947,131,829,500,
978,761,256,245,996,701,694,719,812,409,748,419,889,426,214,227,390,324,434,
824,226,110,073,251,499,962,959,468,226,443,368,307,682,884,183,049,380,633,
501,387,079,785,319,206,194,499,064,444,203,134,737,438,004,392,258,271,185,
138,319,289,521,640,506,925,883,594,324,312,360,826,884,259,889,270,511,117,
412,289,049,915,717,223,321,579,882,733,609,554,898,245,153,606,437,227,993,
569,954,899,551,026,831,504,219,423,111,152,823,925,256,126,482,061,357,743,
960,612,166,229,622,939,921,745,502,383,461,799,893,717,326,264,988,316,559,
336,265,298,594,590,234,689,231,009,967,960,011,211,644,926,973,479,544,782,
650,389,155,041,288,918,337,769,010,451,854,997,431,559,286,417,858,964,490,
954,203,246,377,282,886,903,137,543,618,982,690,274,503,780,503,640,661,052,
669,836,915,827,775,805,712,902,979,398,149,696,882,531,981,767,179,352,825,
769,779,405,500,538,102,402,341,179,045,115,136,157,274,174,123,195,502,517,
183,724,601,511,389,256,062,876,062,571,009,697,636,680,505,370,293,373,625,
020,647,855,642,857,653,595,046,732,189,814,168,654,342,609,668,093,488,843,
341,467,300,998,846,768,385,779,929,623,911,146,297,141,059,601,708,301,858,
053,453,495,347,238,554,862,278,545,750,592,033,986,076,509,472,270,056,532,
156,096,282,471,954,660,391,105,397,503,886,664,990,605,391,342,004,086,324,
521,691,413,195,104,743,980,548,347,193,613,888,703,061,077,333,192,083,615,
132,639,203,186,459,941,401,697,642,819,821,763,285,916,131,366,685,512,225,
178,075,343,011,517,923,739,462,072,571,670,795,458,914,644,567,290,446,773,
199,462,029,131,097,839,008,201,260,404,106,087,921,076,148,164,625,240,402,
667,048,440,462,496,378,081,237,103,406,592,881,218,796,869,358,782,894,032,
086,714,232,653,581,177,424,340,319,689,195,670,487,055,739,006,523,107,595,
547,445,753,066,862,856,487,126,686,217,330,989,039,489,591,330,941,869,476,
018,094,880,741,665,023,913,646,686,497,802,421,335,944,975,993,985,590,491,
166,156,897,475,825,833,422,720,922,522,902,056,189,629,905,671,399,459,420,
776,373,600,895,465,068,103,145,846,915,662,068,110,297,989,408,608,607,085,
556,193,038,667,597,196,942,440,935,394,250,381,038,120,478,993,340,410,306,
997,216,275,732,717,053,045,484,669,097,071,729,601,053,272,834,468,880,205,
452,755,137,230,577,309,669,175,615,127,753,897,108,028,505,070,328,807,077,
837,837,811,642,442,143,062,005,106,846,586,706,235,172,682,792,694,151,986,
324,397,505,714,287,674,214,876,087,153,304,690,746,711,937,087,202,882,947,
093,291,385,770,379,511,494,669,919,368,866,006,404,893,629,231,310,099,625,
874,651,704,587,407,302,738,082,193,879,103,848,257,063,569,163,426,375,094,
536,928,955,562,958,437,153,525,928,998,769,578,706,960,464,915,427,513,718,
540,833,926,632,392,679,329,140,268,853,219,723,425,156,457,641,361,368,117,
465,638,593,413,306,262,400,267,471,900,181,465,841,543,403,843,193,065,541,
560,005,851,629,202,294,089,921,908,473,790,165,876,960,610,382,664,225,121,
197,005,617,365,337,297,223,328,152,036,962,118,596,643,634,980,925,158,322,
465,141,946,514,553,919,058,120,209,965,226,735,499,019,762,357,028,609,753,
384,937,694,253,812,078,274,870,411,242,387,796,724,358,419,993,811,151,966,
373,199,921,275,254,958,083,932,057,083,387,520,106,630,312,908,284,671,586,
099,635,652,510,551,670,473,439,893,738,066,888,465,335,417,061,146,461,832,
077,339,523,311,445,894,544,779,471,727,163,937,670,377,864,078,038,383,883,
900,725,382,171,243,370,172,377,634,957,175,614,111,953,563,610,137,786,560,
929,119,656,389,819,957,265,009,850,310,736,032,039,873,576,699,133,119,664,
251,386,779,995,293,334,873,349,759,189,584,104,549,639,457,451,835,521,188,
284,158,048,607,358,701,714,727,666,763,668,759,189,006,654,255,619,251,866,
313,698,455,711,717,418,909,562,977,860,530,754,667,187,258,441,195,565,436,
212,312,838,075,526,474,603,899,372,779,128,585,998,374,732,792,049,726,484,
380,850,792,404,798,112,910,874,075,532,075,968,382,482,300,134,083,302,764,
162,473,523,471,003,803,432,368,460,339,549,918,804,432,763,670,175,930,520,
314,469,327,091,667,969,089,035,435,168,661,624,036,518,817,191,940,696,191,
649,131,315,117,471,767,295,941,436,428,068,131,727,854,231,549,836,164,072,
480,407,948,063,415,668,600,254,803,445,630,222,765,419,109,918,546,394,736,
632,519,634,689,358,102,798,846,787,507,014,995,447,100,200,385,128,855,172,
747,926,702,292,516,085,360,402,618,402,272,500,081,173,904,715,047,497,234,
107,214,506,449,612,825,351,325,787,925,010,081,275,483,935,659,730,826,325,
655,067,263,932,892,903,764,790,734,187,119,035,396,452,271,168,146,371,862,
597,520,670,203,146,305,071,043,633,344,727,101,455,759,538,299,454,175,769,
291,374,535,457,526,962,336,378,888,592,565,276,318,701,320,099,598,706,651,
414,131,226,540,032,291,729,786,306,768,366,026,905,560,446,895,910,645,639,
704,878,447,668,206,971,975,561,459,774,641,391,578,868,630,017,971,910,307,
240,004,877,219,848,084,028,377,446,406,563,854,628,643,439,868,708,337,185,
325,707,525,772,793,194,835,459,199,990,073,402,047,363,578,507,589,653,253,
041,545,197,584,222,514,036,049,494,271,154,881,067,582,827,378,180,416,454,
546,621,183,708,532,213,332,664,650,690,813,548,183,814,745,300,849,239,162,
691,030,844,591,919,820,936,262,778,982,600,927,329,116,729,552,410,141,231,
471,010,348,024,448,000,327,185,406,594,745,410,650,034,456,034,506,825,871,
131,225,839,584,347,069,565,942,754,221,007,440,135,409,113,127,419,785,069,
630,562,313,221,080,774,227,603,801,808,734,327,344,218,053,243,077,923,086,
993,304,515,863,464,255,246,724,125,307,111,285,919,727,305,174,419,377,363,
738,307,339,829,079,103,179,628,419,568,056,252,517,184,697,234,557,137,218,
698,771,071,009,751,758,370,068,041,755,090,447,631,096,597,620,966,570,975,
517,545,094,744,110,516,269,685,153,753,114,855,165,671,508,875,549,226,442,
229,885,980,996,806,152,940,021,572,179,609,087,933,845,000,145,773,384,739,
253,519,283,043,407,461,764,134,357,158,217,801,245,165,009,928,339,238,983,
228,611,776,833,455,336,935,702,912,720,593,328,729,301,932,341,953,364,519,
372,690,105,284,714,952,796,002,155,690,709,041,750,435,281,395,578,147,339,
706,267,329,238,981,388,311,489,381,394,053,958,062,953,054,807,851,964,697,
012,304,700,435,639,330,860,789,932,014,484,320,592,157,535,109,720,548,410,
044,170,779,922,142,819,291,985,217,965,879,673,743,982,285,325,050,205,755,
244,464,955,991,638,194,562,671,897,343,696,272,176,687,851,168,606,329,099,
032,269,012,649,108,916,606,544,198,527,352,847,483,798,666,838,670,100,315,
986,684,579,198,072,401,931,807,303,569,931,156,902,323,539,206,181,816,177,
595,207,657,173,009,984,776,595,948,987,830,131,668,065,810,775,458,220,189,
770,498,623,987,339,450,883,485,587,683,605,244,802,471,025,817,989,788,974,
491,908,888,486,370,738,773,493,066,215,393,028,206,494,639,936,474,791,277,
365,174,015,017,878,351,863,866,255,542,160,835,557,819,482,116,799,632,720,
114,570,749,183,508,328,967,983,457,811,498,633,334,140,784,873,989,065,251,
364,363,079,001,640,103,595,232,854,499,410,289,800,990,136,069,856,898,932,
302,344,503,920,275,866,769,970,835,305,642,320,031,347,776,862,569,984,421,
219,437,870,263,713,276,741,960,289,540,557,084,810,835,040,891,174,898,464,
993,907,238,809,706,043,867,260,226,679,477,432,796,483,629,846,636,251,457,
154,159,752,655,389,917,334,280,784,301,581,360,813,610,370,026,764,683,703,
916,844,558,137,630,389,367,708,153,634,461,880,351,774,750,777,954,774,420,
830,299,327,986,883,001,023,077,591,470,969,950,328,789,261,613,998,738,680,
366,872,407,547,461,080,225,976,120,858,540,730,580,565,224,179,491,386,565,
383,513,515,869,623,430,587,476,693,024,576,518,791,775,192,767,029,914,523,
385,435,658,818,529,248,730,750,062,521,792,777,115,955,917,897,738,964,337,
876,791,684,024,478,145,666,645,108,806,479,067,845,532,470,407,413,609,060,
479,510,643,943,087,004,061,927,770,840,579,059,374,697,187,781,702,842,479,
651,457,913,191,530,687,217,071,748,160,374,614,545,074,349,941,891,849,104,
610,045,948,196,913,088,478,710,028,827,652,840,244,436,400,040,856,556,082,
682,628,147,723,092,941,968,142,351,038,229,978,062,370,643,215,175,779,479,
891,350,903,234,071,970,500,445,822,762,198,121,701,331,165,732,691,273,485,
592,375,155,521,797,423,377,187,065,637,260,970,453,470,841,892,346,406,359,
832,256,019,980,447,131,177,526,408,457,300,884,694,009,000,520,879,943,871,
560,688,042,404,520,017,241,453,869,757,820,418,785,977,704,543,139,571,894,
107,841,623,008,717,071,560,712,334,397,446,371,567,360,513,999,196,392,131,
112,501,033,185,774,767,269,391,071,035,658,096,074,177,275,570,691,837,128,
400,589,322,383,131,475,353,079,269,973,308,271,259,677,062,452,116,031,797,
499,074,571,271,613,327,679,764,768,989,439,900,996,864,561,388,759,042,755,
520,252,585,144,419,692,793,687,592,874,316,673,895,350,571,424,644,268,725,
080,960,001,421,272,163,615,103,586,577,997,530,955,393,216,224,833,852,361,
007,279,032,130,361,051,903,897,019,013,218,121,464,810,075,804,385,306,722,
670,283,926,476,640,540,874,660,205,708,368,815,833,263,532,488,852,031,155,
788,179,756,646,133,280,950,618,384,711,403,670,178,662,435,807,646,222,873,
413,203,048,282,990,813,815,428,496,740,884,539,349,255,886,156,016,425,159,
630,117,173,368,377,564,402,172,805,154,206,862,510,875,779,424,557,631,270,
835,107,856,299,855,453,112,441,655,191,205,844,005,398,259,499,327,960,345,
137,849,974,280,206,532,072,407,471,275,308,393,143,131,407,236,703,515,125,
703,236,449,615,253,819,528,423,651,156,296,251,417,038,832,578,420,141,674,
112,162,909,463,846,440,127,152,678,811,562,953,582,403,314,587,425,194,397,
423,714,589,010,118,825,220,872,565,759,918,342,732,004,324,417,762,822,455,
568,560,392,474,614,874,404,807,099,055,401,616,962,541,193,853,103,683,357,
887,679,396,133,497,027,261,745,474,254,214,310,426,420,619,626,236,406,745,
093,846,936,701,531,903,100,513,221,306,008,505,175,512,283,591,202,941,439,
655,517,018,213,521,987,357,730,727,740,126,061,727,619,306,011,781,232,062,
629,195,741,794,558,909,548,748,180,319,221,671,526,433,382,688,730,905,861,
933,446,836,833,127,429,152,463,350,908,939,221,315,866,277,838,464,769,087,
292,851,293,197,245,264,474,883,125,851,356,874,348,459,486,934,626,117,094,
579,623,100,193,570,095,663,475,336,003,680,445,589,340,743,400,588,944,678,
973,501,715,057,391,205,001,190,790,342,491,968,001,239,342,897,665,877,205,
274,173,595,039,229,751,167,278,620,268,064,692,805,257,303,006,123,456,486,
871,509,418,505,262,899,438,838,965,310,084,797,250,999,280,505,359,349,586,
135,097,215,413,088,093,446,065,916,468,858,976,904,544,336,066,935,996,624,
939,421,699,191,905,494,518,582,650,605,999,396,514,961,195,688,048,827,803,
500,184,878,446,790,698,115,885,320,644,490,111,743,573,410,959,557,671,648,
667,597,887,915,893,045,252,765,250,026,591,494,824,987,150,369,820,283,221,
401,376,907,659,654,571,952,137,254,128,737,772,522,456,614,960,322,374,885,
850,026,352,937,195,783,501,503,071,947,862,570,889,085,858,041,500,551,160,
317,087,681,762,641,327,357,701,120,335,545,352,513,433,860,699,895,170,635,
899,249,272,654,558,990,653,901,286,894,043,455,323,106,561,116,424,873,722,
024,209,402,955,220,957,777,195,402,350,074,830,886,196,347,628,861,341,304,
510,272,080,957,718,445,812,025,920,305,806,547,420,240,747,386,538,535,225,
175,434,253,022,791,263,666,854,607,291,517,732,684,675,826,731,651,126,971,
405,111,183,997,583,191,164,687,754,933,432,925,941,074,193,535,383,633,131,
625,213,422,635,619,068,250,719,395,984,479,360,686,455,128,077,941,371,274,
516,674,358,086,975,994,317,766,038,136,895,887,571,746,785,165,490,065,345,
726,255,961,355,966,657,643,201,193,947,982,786,938,580,865,589,081,717,612,
460,296,281,383,161,234,297,258,270,679,637,317,484,485,961,126,860,127,726,
186,380,246,660,158,666,509,358,584,419,920,772,434,478,044,430,144,281,030,
233,542,949,266,151,430,769,811,801,974,111,140,393,373,961,354,013,223,944,
797,488,929,671,760,450,224,183,009,985,708,614,448,551,940,617,872,561,366,
922,468,053,822,582,832,925,820,852,328,051,360,791,483,979,895,807,826,952,
252,066,052,542,496,587,891,986,342,550,512,865,634,255,489,557,447,940,163,
121,635,052,128,108,716,484,294,169,309,541,226,696,854,542,100,531,103,609,
554,158,711,813,847,285,529,282,787,793,570,166,478,211,693,099,961,687,225,
888,287,853,200,009,821,300,938,872,204,373,540,719,789,367,609,391,013,095,
981,003,974,874,824,214,048,106,752,487,349,171,337,639,740,368,440,310,754,
478,456,716,121,121,068,557,606,688,992,637,590,454,157,617,388,671,370,290,
105,675,989,435,629,029,768,015,935,060,813,594,335,464,907,877,018,075,513,
095,575,836,732,552,534,891,283,378,004,642,549,130,020,024,585,102,952,540,
601,523,177,799,276,426,089,407,105,188,476,279,207,339,319,653,641,022,227,
492,341,330,912,545,033,399,356,219,785,074,326,381,055,415,973,458,675,756,
176,645,430,150,006,162,446,556,567,413,588,794,505,189,947,644,214,932,421,
977,850,272,421,216,103,447,685,757,466,624,143,745,872,351,073,957,868,716,
050,600,514,114,959,798,337,897,025,218,106,247,191,016,627,150,330,143,938,
264,028,198,723,798,021,024,906,688,395,110,463,478,634,348,152,538,039,460,
662,525,519,208,706,173,536,166,042,763,912,015,012,791,795,423,138,176,877,
733,156,068,366,582,914,758,762,724,508,912,824,113,325,347,059,600,533,859,
568,055,455,133,362,430,293,909,008,563,755,042,350,215,481,981,398,127,972,
953,639,975,191,104,038,558,780,663,211,976,001,064,306,755,922,305,309,207,
061,766,763,425,126,282,783,057,026,930,750,438,741,319,887,662,970,085,409,
872,971,635,057,860,148,400,494,333,894,020,222,718,054,833,808,656,893,303,
212,234,301,546,992,670,666,920,566,756,930,069,170,330,624,015,190,370,228,
906,993,812,994,156,387,823,156,489,963,897,730,815,801,131,351,429,585,285,
856,859,197,628,261,439,339,537,796,403,965,248,504,862,456,105,815,245,459,
950,203,850,951,955,953,768,357,358,646,068,178,777,123,678,574,145,695,680,
935,676,361,088,068,866,007,620,371,252,943,827,486,721,707,500,355,416,288,
223,413,982,825,287,467,157,881,893,706,680,933,981,344,061,746,512,744,488,
809,541,788,393,931,085,640,855,230,304,060,412,211,795,160,906,029,272,728,
728,265,142,691,463,894,093,516,104,630,847,703,329,387,624,670,683,462,057,
669,134,250,135,810,414,750,897,282,636,743,151,758,336,293,810,788,074,337,
235,970,458,202,325,230,504,407,161,568,640,140,413,012,761,886,663,891,773,
011,479,940,868,394,288,535,127,488,705,500,666,768,487,029,162,932,967,850,
359,984,773,612,313,075,065,698,713,904,923,931,864,008,769,290,192,270,964,
657,376,908,434,684,310,869,578,381,933,720,622,743,360,723,745,362,659,261,
327,269,210,331,048,248,789,306,251,105,756,219,094,062,100,916,125,242,832,
361,951,859,405,074,810,106,731,924,092,891,359,302,924,471,837,392,651,813,
213,945,549,976,827,734,582,530,754,081,879,979,052,518,583,959,818,789,988,
911,587,700,933,211,340,772,454,692,766,718,738,713,651,065,454,342,535,657,
308,277,139,536,744,029,219,621,990,651,592,526,612,313,746,456,166,051,649,
811,883,797,019,825,613,983,156,035,443,657,916,701,004,131,853,028,799,704,
621,143,491,541,133,146,399,997,701,346,050,588,109,770,543,770,123,652,074,
885,368,478,318,439,066,623,489,175,580,387,461,639,864,008,941,096,926,469,
793,780,254,189,182,717,168,577,072,664,720,072,655,113,632,011,461,100,337,
508,676,704,567,991,563,722,257,276,605,045,278,772,061,608,638,708,120,697,
383,870,377,165,205,047,448,738,908,560,931,950,280,019,807,529,341,554,568,
687,665,122,138,146,108,680,708,801,628,605,270,949,428,204,826,852,139,575,
136,456,278,419,425,568,775,901,213,020,045,737,302,547,089,075,366,441,054,
801,107,190,400,651,247,705,146,341,246,697,430,150,817,068,981,123,848,288,
524,391,435,051,211,868,710,347,585,596,670,948,898,209,558,602,494,064,110,
341,396,723,802,302,244,411,562,379,755,041,190,487,619,417,548,016,787,547,
244,956,218,749,143,195,449,180,769,753,274,173,314,748,873,518,654,325,033,
573,499,575,338,121,247,890,693,296,917,873,503,112,777,033,947,432,211,611,
267,954,500,555,458,665,715,438,101,637,100,061,749,903,449,418,497,048,649,
313,504,304,370,800,733,152,585,712,239,700,910,821,996,313,704,173,063,388,
120,036,466,514,270,720,202,424,545,999,513,002,998,640,326,558,778,420,013,
139,104,431,260,070,305,199,771,863,834,193,790,613,435,449,430,158,238,773,
801,025,856,828,093,624,465,096,848,863,488,482,438,647,026,325,365,177,328,
302,730,524,188,492,728,845,972,570,153,384,708,785,879,542,895,390,688,658,
437,367,141,684,982,298,464,402,866,060,977,336,079,861,738,932,613,979,856,
079,574,884,027,293,135,871,419,969,200,823,346,608,079,415,581,129,708,031,
861,774,507,793,582,916,070,047,441,204,343,546,906,123,922,356,960,190,462,
996,539,910,568,072,198,846,407,790,471,544,088,713,352,892,036,190,656,611,
332,734,016,809,998,021,740,456,182,144,028,779,256,281,895,467,646,593,552,
505,569,813,145,494,807,670,297,034,016,629,392,720,517,733,011,758,929,245,
461,378,071,986,557,356,464,427,999,146,351,114,350,906,987,682,612,205,620,
430,248,227,540,760,050,531,723,962,154,639,546,402,534,368,347,894,590,731,
467,011,281,747,908,157,048,199,947,352,195,951,268,250,481,153,920,084,825,
622,815,513,027,866,270,668,826,410,760,014,441,840,905,314,605,403,562,595,
422,019,953,491,643,064,120,862,111,670,812,217,071,630,089,657,594,814,509,
892,428,618,657,248,790,894,461,711,157,952,233,236,960,317,020,404,775,617,
523,268,896,126,620,516,388,094,141,918,814,428,348,056,433,962,974,860,937,
711,049,175,016,921,286,402,476,903,100,216,902,934,198,101,607,142,713,099,
833,904,424,184,639,917,758,173,202,175,941,094,584,475,365,322,176,685,487,
985,964,323,055,107,448,654,331,721,765,116,771,444,602,103,505,549,153,385,
013,329,407,050,030,314,967,901,070,786,732,763,800,524,700,812,905,294,650,
278,958,630,056,663,988,709,243,520,230,813,798,235,832,636,130,356,956,991,
796,575,890,788,633,546,564,137,002,128,796,323,593,404,867,631,409,573,509,
635,299,781,439,428,893,929,182,239,907,310,778,663,602,466,457,110,549,273,
132,190,330,287,083,383,658,578,030,477,864,413,855,495,158,285,683,681,832,
783,023,811,723,298,626,824,245,153,473,836,380,917,681,661,734,150,720,933,
696,336,802,101,765,576,393,333,768,113,233,363,767,858,302,542,962,621,029,
619,534,859,382,214,250,219,980,152,530,266,863,384,390,466,022,838,635,359,
342,242,626,112,475,439,196,079,620,806,912,879,638,295,910,096,434,357,880,
188,251,812,990,144,289,432,695,820,565,423,690,800,992,523,835,632,269,721,
864,678,845,368,358,722,276,830,812,357,723,462,474,912,034,155,480,120,791,
928,867,821,770,171,189,120,237,638,337,809,869,168,030,563,730,755,483,449,
661,778,357,112,439,808,208,440,116,869,684,429,826,178,380,211,535,360,648,
483,564,135,329,456,146,558,430,960,105,325,334,178,889,561,706,642,109,115,
238,662,813,041,885,993,520,799,804,784,106,125,206,530,965,768,111,246,828,
598,775,226,354,825,828,190,843,090,904,537,852,440,800,609,410,257,049,420,
462,879,717,066,744,457,372,480,753,235,038,053,476,347,291,014,884,595,384,
650,537,246,557,446,819,387,311,756,252,799,833,548,185,707,373,215,068,376,
463,834,971,118,761,722,343,455,554,097,576,226,118,705,989,329,958,724,872,
079,705,271,624,759,718,777,868,163,624,420,399,552,700,575,941,715,403,532,
533,614,780,985,802,424,401,271,948,994,440,877,309,993,331,934,844,247,525,
906,083,929,045,798,700,675,712,335,844,002,512,004,518,727,226,716,322,522,
754,912,043,289,853,050,695,588,148,157,712,978,001,851,206,472,661,693,028,
951,709,148,891,842,266,489,408,521,257,095,224,384,800,434,034,307,065,807,
095,427,866,710,612,851,730,800,846,873,677,409,544,255,815,702,784,854,456,
832,556,201,133,376,648,371,503,598,250,283,113,502,278,281,563,144,123,504,
821,731,522,599,016,893,218,908,805,032,072,055,430,211,136,309,239,002,535,
775,715,282,746,087,262,133,109,286,316,325,433,043,711,695,786,762,955,378,
226,104,145,696,572,732,896,099,951,899,096,805,594,262,444,469,045,048,668,
619,422,291,029,991,346,574,438,350,600,046,679,048,768,546,316,358,469,134,
295,728,608,235,530,864,977,631,918,136,219,927,898,012,109,782,341,430,927,
301,758,030,117,780,853,916,780,228,608,431,543,418,849,782,995,363,829,617,
493,426,924,367,768,425,283,046,531,619,559,416,034,284,127,287,203,633,559,
133,491,379,813,836,338,250,832,095,150,804,016,307,927,801,652,849,251,801,
623,962,396,567,966,316,703,015,498,147,876,566,683,420,981,595,809,414,539,
479,266,033,420,548,460,686,427,412,012,664,672,713,099,062,334,774,368,315,
375,983,929,965,627,494,526,756,841,205,832,776,944,648,416,299,026,873,878,
789,372,138,919,087,537,203,889,590,105,560,833,488,440,780,683,009,357,277,
697,223,784,205,725,752,188,651,752,664,301,770,626,158,521,831,734,292,637,
627,424,078,481,658,830,222,728,682,924,383,313,648,289,996,508,392,375,714,
668,214,698,107,242,814,084,355,724,641,029,471,412,313,187,010,102,626,289,
557,175,563,422,786,355,296,314,487,121,196,000,597,167,228,085,706,475,143,
222,131,867,207,812,377,903,477,309,348,570,575,596,683,288,853,091,444,424,
984,550,068,291,703,566,742,326,648,235,785,136,963,621,544,040,346,868,598,
898,943,205,165,064,902,726,507,631,366,800,750,303,207,793,983,884,618,850,
191,842,986,366,652,544,695,762,457,403,681,175,084,282,064,009,894,618,372,
826,522,538,208,025,973,244,897,815,537,729,577,102,697,954,073,624,152,620,
964,652,803,809,469,493,488,222,624,157,808,772,149,575,687,154,147,769,000,
006,362,308,055,951,095,043,083,886,122,426,557,471,859,381,763,595,843,580,
442,438,872,796,456,140,542,413,628,745,333,233,481,369,584,304,782,390,725,
197,349,387,649,625,193,038,068,005,205,918,188,616,718,238,866,883,204,428,
612,524,708,725,780,251,707,109,377,332,052,329,437,489,105,325,836,059,243,
029,906,069,609,872,684,881,927,293,917,443,783,647,703,160,077,835,490,472,
499,855,093,149,924,980,851,266,052,449,261,788,967,646,564,289,819,923,007,
291,792,323,919,845,325,500,396,460,013,183,270,708,866,881,717,013,479,803,
844,589,456,108,230,147,590,384,520,965,785,576,536,387,073,332,439,131,900,
090,335,374,569,813,248,261,084,958,701,893,820,043,536,558,250,983,366,027,
722,517,685,110,611,731,642,099,274,613,861,580,550,394,917,742,985,145,484,
286,048,572,829,269,198,325,639,193,005,563,783,002,410,929,376,846,459,217,
754,214,752,068,598,766,038,392,178,103,096,242,971,372,929,849,443,169,584,
564,818,623,230,324,928,394,170,015,830,489,385,792,495,505,752,069,509,016,
888,491,820,423,624,008,344,576,262,780,923,845,199,293,692,585,763,260,501,
533,083,824,646,923,961,402,426,251,066,383,720,007,398,626,517,262,240,536,
087,388,063,403,125,880,603,888,297,842,134,382,487,095,805,631,049,461,955,
204,247,010,105,774,673,879,560,722,197,028,614,723,981,718,400,470,059,767,
391,249,396,191,292,429,011,443,642,939,117,979,744,162,513,078,303,224,579,
523,143,938,439,060,932,859,675,881,553,778,121,517,302,659,155,806,409,915,
434,155,127,265,317,508,715,144,733,039,828,541,549,185,899,276,450,700,126,
064,935,280,461,277,286,127,649,054,540,309,482,560,585,212,385,346,393,091,
919,269,084,980,741,278,991,863,018,940,388,894,284,805,470,879,082,340,040,
039,643,026,431,772,699,587,077,491,517,556,209,014,161,571,544,084,339,980,
963,892,780,600,874,760,439,078,153,553,666,901,504,987,668,359,805,559,158,
568,124,730,105,887,898,109,786,012,053,245,872,683,310,089,953,690,387,874,
315,715,913,003,217,214,346,629,608,244,788,672,202,629,566,001,141,204,569,
749,773,519,314,067,819,596,698,978,830,481,862,756,553,149,691,349,403,356,
813,146,174,717,963,836,767,521,665,565,512,012,951,695,671,005,307,750,234,
014,499,619,751,119,552,000,573,183,611,465,595,039,687,531,740,325,124,309,
263,630,872,246,332,873,998,484,406,271,106,532,152,742,884,883,167,088,415,
022,972,392,865,571,593,019,644,859,169,640,945,415,414,086,798,461,923,991,
440,876,378,223,371,369,706,252,165,480,843,265,844,733,797,729,682,974,775,
441,363,730,471,991,633,599,997,477,992,789,947,998,813,090,705,287,995,978,
680,071,327,063,420,158,204,297,597,840,952,412,470,397,378,226,363,428,134,
151,013,854,746,635,028,673,104,799,767,592,522,874,980,098,984,254,209,317,
287,869,784,811,870,547,123,493,610,893,323,515,450,161,424,613,716,814,123,
416,477,695,514,724,720,323,120,910,218,861,213,347,062,739,487,232,239,320,
234,949,330,354,874,053,377,445,281,705,919,340,365,138,066,311,363,223,915,
613,234,906,708,679,712,085,044,964,345,277,759,695,809,296,017,072,517,868,
624,678,323,397,553,113,462,060,458,112,935,137,469,153,499,749,758,656,553,
181,952,635,479,642,749,856,323,219,318,875,213,330,697,022,457,295,705,243,
185,860,896,050,176,463,255,437,168,800,032,907,504,358,806,455,955,838,745,
639,751,041,760,744,933,789,439,216,719,589,534,544,359,583,254,308,026,255,
150,468,041,523,365,963,227,816,720,291,731,863,316,092,617,810,204,300,099,
204,530,227,563,943,239,389,922,935,530,970,548,547,054,851,971,235,508,083,
687,160,915,049,987,021,787,115,706,729,111,966,834,767,966,021,892,380,660,
419,786,282,782,211,140,297,220,158,191,330,781,809,081,167,939,927,016,314,
367,463,415,269,821,566,820,967,198,379,426,564,595,235,630,688,886,052,380,
977,694,864,907,740,302,569,150,616,649,187,277,785,427,047,505,131,064,762,
886,068,132,546,528,827,196,150,617,673,000,751,247,915,684,243,730,487,335,
411,019,764,154,705,780,144,436,691,179,984,298,491,770,221,013,326,861,391,
996,868,601,423,401,346,515,296,691,612,501,358,979,739,043,220,880,148,390,
293,586,002,023,041,551,003,674,881,940,975,785,419,160,385,301,671,381,709,
439,459,165,188,251,582,569,259,253,814,722,591,705,014,799,767,583,060,130,
848,071,594,261,013,199,237,294,459,611,914,124,184,765,213,281,611,000,466,
012,671,192,183,095,028,748,082,949,619,447,512,025,696,384,039,531,590,720,
836,945,755,274,002,721,293,736,982,959,824,414,610,370,895,307,153,309,491,
743,900,497,781,023,468,587,248,939,236,101,349,217,402,300,381,678,718,027,
629,351,623,983,095,999,908,768,528,342,791,001,838,396,243,663,683,945,255,
441,130,801,435,724,384,524,925,100,318,620,558,369,334,486,098,174,634,607,
391,309,699,289,157,771,941,302,012,047,058,327,224,035,572,813,317,531,962,
008,166,514,546,347,716,862,935,822,465,581,643,326,137,417,700,185,924,605,
918,164,064,057,463,201,444,918,821,572,162,031,809,557,188,369,664,875,602,
964,515,670,277,248,608,033,523,383,874,290,393,249,179,503,506,179,052,606,
937,751,953,117,873,051,418,364,719,455,911,733,993,808,174,974,341,233,802,
447,741,067,980,582,359,608,294,520,712,256,918,928,173,099,436,541,322,225,
174,574,466,042,006,732,765,884,440,911,510,085,500,388,855,132,169,732,125,
362,861,367,362,259,894,686,378,039,117,854,892,163,559,978,865,492,470,906,
904,082,606,887,654,580,259,146,982,659,277,739,191,827,485,952,420,227,871,
619,485,411,896,729,940,329,080,741,913,606,014,706,032,848,722,955,816,191,
636,336,408,343,844,355,282,010,709,758,517,953,349,937,859,153,180,078,562,
924,339,267,727,025,833,765,410,305,654,265,745,889,673,793,034,040,377,013,
999,700,045,946,938,677,150,782,810,634,196,186,339,600,785,731,418,031,009,
996,321,858,108,421,268,589,167,899,744,386,693,953,454,049,770,246,651,015,
348,424,293,125,412,373,723,577,954,910,127,198,689,404,662,110,927,610,394,
370,516,171,995,829,461,471,764,801,355,884,166,754,469,581,379,536,423,148,
849,856,737,591,735,995,490,669,261,319,372,845,324,377,908,938,716,598,742,
328,903,887,519,175,436,382,307,697,850,902,094,533,387,039,556,913,629,639,
751,466,958,582,849,273,871,885,801,536,534,346,214,419,704,090,931,028,107,
840,665,893,342,184,689,939,986,374,576,604,838,427,756,470,890,299,415,100,
340,035,831,686,612,737,047,200,992,452,861,053,012,891,108,183,101,453,313,
536,899,124,720,865,535,145,892,571,301,522,469,665,625,416,987,307,127,278,
623,759,993,268,304,710,666,679,680,391,672,562,332,186,408,824,249,025,848,
394,749,158,568,260,447,683,691,949,938,999,696,413,455,743,146,231,574,810,
204,019,636,435,475,621,913,978,311,238,226,702,711,079,416,623,622,009,514,
576,550,127,661,637,649,219,101,957,932,769,589,226,470,631,314,379,150,485,
396,498,748,618,114,024,801,175,629,677,023,642,785,674,946,562,673,151,960,
461,745,302,669,381,568,267,202,189,903,859,663,988,601,722,973,109,898,801,
083,514,850,940,986,913,445,465,002,841,058,828,694,501,036,940,716,795,246,
211,282,403,350,172,003,284,530,754,348,611,521,097,394,107,966,846,426,184,
605,236,350,535,404,103,955,269,923,677,332,431,474,432,566,629,215,386,753,
944,679,522,011,436,689,458,112,456,178,592,577,376,384,183,609,071,968,323,
368,647,428,779,355,510,990,634,385,645,107,536,798,142,632,369,646,926,486,
574,969,720,771,097,778,061,500,329,604,949,408,855,702,845,559,694,850,927,
637,026,662,572,782,562,290,019,784,828,881,244,076,988,148,534,493,628,922,
145,297,232,256,542,743,255,315,640,697,252,075,980,472,448,940,619,416,412,
376,712,206,688,157,139,150,820,658,662,804,461,349,289,352,123,544,716,931,
754,518,750,267,626,286,934,449,094,130,276,756,688,822,135,574,456,041,721,
717,813,377,702,983,847,232,105,384,791,351,672,064,836,067,561,801,264,133,
690,013,998,944,853,019,272,050,138,760,316,343,348,272,966,873,134,704,223,
660,536,606,208,558,762,891,630,533,764,677,836,260,298,468,275,603,997,091,
633,995,514,495,061,641,923,231,442,077,264,589,009,936,053,312,454,539,888,
900,418,006,269,187,015,316,740,958,326,232,086,928,072,651,853,097,086,666,
684,788,756,357,841,479,432,652,085,916,250,952,874,438,352,914,338,212,679,
332,836,539,663,797,575,516,510,228,290,491,234,226,499,814,768,116,450,488,
122,558,984,919,342,420,042,369,814,591,826,906,062,879,857,465,792,000,947,
468,217,619,576,453,252,877,216,468,729,420,822,842,319,161,694,155,736,890,
120,629,524,130,053,265,807,653,470,577,377,564,808,555,034,305,837,397,344,
275,271,532,218,424,005,020,266,231,803,997,109,845,675,012,320,481,352,680,
941,178,451,912,392,736,528,972,248,017,151,932,424,909,061,223,945,520,228,
171,151,305,288,168,989,123,578,964,027,717,057,263,557,893,565,343,689,217,
450,525,794,915,203,793,719,749,653,725,776,102,537,280,017,923,596,867,946,
652,454,311,762,271,634,056,562,162,811,991,785,882,017,238,217,474,183,640,
912,025,945,648,603,387,181,723,606,186,988,960,881,440,367,743,362,580,708,
424,655,406,866,978,811,664,345,576,159,023,644,234,611,363,222,809,295,239,
922,613,545,692,825,409,035,066,875,195,071,922,185,134,109,243,456,956,852,
242,516,362,533,388,496,693,259,810,541,466,521,255,247,286,512,571,874,034,
963,690,168,394,939,159,287,727,268,847,988,540,323,224,792,784,231,183,316,
408,820,671,378,797,965,241,011,489,965,218,089,359,307,939,779,996,137,597,
303,821,174,029,441,811,017,857,129,554,456,744,990,550,919,279,202,117,610,
671,978,270,343,999,797,665,002,190,719,043,232,366,973,251,003,986,103,873,
196,741,165,892,871,884,208,299,351,838,785,985,790,766,296,106,234,544,366,
964,929,557,032,751,603,263,484,342,477,572,988,361,373,762,499,026,486,783,
788,662,662,856,222,200,815,967,880,058,759,313,677,134,604,321,921,299,419,
756,717,936,133,737,531,032,072,989,573,252,999,946,585,604,962,700,878,750,
002,141,393,746,030,129,398,240,647,260,079,213,679,225,930,510,474,541,154,
999,761,655,393,522,900,590,510,125,051,434,267,998,377,554,707,236,022,546,
537,334,476,883,101,163,269,041,169,797,854,542,173,316,737,339,965,675,295,
247,728,070,182,105,605,180,244,951,686,883,885,036,814,107,945,914,791,297,
307,650,291,490,839,208,286,310,317,711,065,004,629,314,032,200,329,556,044,
305,438,771,029,961,556,184,125,995,950,299,923,204,529,379,544,958,745,203,
306,962,194,033,811,784,350,112,475,300,673,597,724,037,439,141,461,472,438,
619,295,504,439,471,140,143,552,284,122,101,084,219,925,241,040,252,885,246,
073,007,130,031,181,322,027,303,642,113,424,101,817,084,835,924,855,075,067,
066,099,987,283,479,154,354,651,588,894,757,859,974,622,869,217,960,252,622,
506,591,987,145,138,296,028,169,057,081,632,367,118,259,343,482,637,784,598,
553,435,197,269,541,838,157,219,484,470,799,916,009,655,545,307,691,752,329,
286,730,529,508,660,209,811,488,202,689,441,973,969,318,079,636,401,758,863,
800,649,657,554,077,616,756,161,530,341,961,118,192,193,180,426,058,681,275,
403,498,421,865,015,130,368,323,826,417,074,608,699,927,874,332,385,692,970,
887,234,689,609,568,040,816,573,107,704,735,065,429,598,968,765,491,639,435,
709,787,711,774,526,840,398,107,689,875,031,393,214,604,487,375,760,079,020,
421,458,492,898,156,078,022,984,662,094,263,087,864,094,716,051,501,316,036,
177,180,016,732,018,777,987,690,513,040,794,728,733,328,650,711,346,951,301,
640,055,403,251,054,370,054,914,951,323,599,716,271,253,607,094,767,807,417,
885,148,722,927,114,538,031,960,032,443,459,569,594,817,121,836,397,329,478,
671,728,087,395,114,446,659,934,453,946,942,920,315,819,100,847,714,387,286,
461,058,030,284,678,136,682,608,968,795,109,129,481,110,745,000,163,037,450,
971,196,415,694,193,046,844,942,171,357,228,237,072,245,583,234,014,851,886,
971,423,242,762,022,200,652,312,781,435,765,614,912,015,147,296,303,352,168,
114,774,679,493,219,611,856,335,201,302,207,395,815,481,276,029,079,685,337,
653,625,875,777,950,570,993,860,539,560,843,762,941,100,240,770,387,336,360,
580,762,570,949,156,956,374,450,425,002,757,363,127,632,933,053,291,015,214,
577,611,190,662,321,312,399,481,359,619,747,221,833,095,119,018,040,225,407,
228,576,147,847,615,293,498,381,891,724,384,238,937,736,270,535,167,091,015,
543,043,901,502,412,421,827,261,794,688,433,380,970,599,585,700,798,087,602,
095,688,180,747,376,711,204,746,329,191,931,873,150,826,643,983,661,126,399,
714,946,019,977,164,551,082,781,755,507,939,455,419,048,936,247,522,044,176,
902,167,388,959,005,587,683,241,886,445,691,196,387,656,842,464,964,429,516,
916,017,903,776,752,952,446,247,127,725,469,472,033,330,422,526,920,361,280,
594,726,334,017,458,478,712,306,007,504,033,253,853,735,344,282,749,590,190,
844,939,347,134,409,891,920,408,776,104,923,821,113,170,655,061,462,185,786,
409,782,354,156,491,030,661,663,977,884,158,370,400,408,555,385,625,070,894,
507,588,697,420,398,355,627,013,308,147,513,708,553,370,148,463,535,882,743,
783,723,064,586,910,559,990,604,732,677,007,142,560,813,141,928,359,378,079,
357,609,726,086,293,459,665,420,296,444,294,642,617,266,439,303,768,525,031,
242,671,502,567,666,822,598,847,432,858,270,653,413,130,856,110,265,361,280,
518,685,257,177,601,051,017,515,957,118,700,894,471,016,813,988,457,899,847,
189,441,256,858,570,284,351,431,320,899,993,402,583,519,755,912,421,824,676,
164,291,845,864,874,632,492,632,156,270,133,930,957,579,078,956,656,245,290,
805,455,747,611,355,395,147,747,442,044,224,762,086,169,191,956,811,044,419,
852,451,228,961,041,987,229,594,242,549,660,055,677,943,388,462,997,681,625,
591,857,986,003,730,507,108,406,523,078,590,716,029,868,705,380,706,378,487,
334,123,721,455,838,737,765,345,422,813,064,645,701,723,032,017,444,119,866,
797,932,538,934,438,345,905,037,074,447,867,237,608,542,547,749,593,893,257,
813,792,444,669,652,505,866,986,621,718,322,263,264,148,067,557,117,652,851,
149,047,195,654,308,130,430,265,295,787,666,631,492,226,711,831,775,810,630,
162,940,713,945,207,889,756,939,295,472,235,986,834,291,808,034,886,997,315,
784,126,954,730,768,606,452,313,771,117,655,556,087,881,830,427,082,498,328,
168,380,706,527,507,638,217,341,433,573,854,032,438,954,399,108,557,150,006,
713,880,832,811,377,002,702,409,177,609,956,525,513,048,452,922,625,482,276,
400,550,146,696,638,837,559,342,841,100,455,522,572,675,185,258,172,992,708,
101,218,889,094,269,027,830,481,063,032,645,827,097,083,325,722,891,173,925,
770,430,595,075,299,799,830,998,013,039,729,165,024,314,936,308,465,381,478,
925,237,382,412,516,586,077,501,655,950,237,593,100,503,834,180,058,983,941,
871,288,266,625,969,927,503,635,148,937,495,157,486,872,200,601,833,784,161,
262,201,932,942,543,275,027,238,040,833,990,555,715,031,102,108,368,781,548,
912,799,111,718,781,829,732,437,368,485,832,960,306,901,967,359,553,811,444,
281,161,962,687,512,575,971,817,786,361,985,787,263,493,845,313,146,900,195,
149,910,141,541,984,080,277,984,275,893,305,025,391,146,756,578,894,263,103,
054,886,787,927,327,937,456,262,198,530,817,359,981,723,799,397,866,345,402,
272,739,837,753,019,268,028,735,619,216,255,773,074,473,300,415,953,606,103,
430,009,498,057,823,352,059,679,494,125,864,202,434,865,206,528,416,905,309,
860,731,374,830,232,089,941,275,675,175,739,035,173,031,592,781,516,014,939,
079,898,096,271,162,809,718,573,537,986,615,014,661,548,896,194,853,007,579,
073,042,709,516,972,452,785,245,395,745,384,679,467,453,028,727,971,028,912,
918,588,233,586,075,190,626,715,939,175,614,290,188,114,330,268,689,954,331,
488,016,314,215,628,158,638,617,017,076,352,410,655,221,468,946,117,056,397,
095,575,132,956,616,711,121,817,832,904,700,582,529,412,029,922,283,564,776,
236,366,156,111,432,692,186,218,850,025,197,942,387,998,505,776,733,644,108,
731,366,401,786,490,157,823,970,964,001,019,973,161,462,304,641,181,549,453,
219,963,069,999,807,619,733,779,257,161,752,916,659,374,916,113,292,457,783,
530,754,056,121,484,060,480,420,178,331,300,742,706,648,002,751,937,245,934,
567,115,160,297,904,949,580,083,906,725,332,010,525,223,753,609,875,614,313,
694,947,864,801,406,917,968,412,545,817,998,609,520,275,680,792,311,058,117,
314,484,837,838,901,779,182,231,534,575,911,417,768,388,320,300,659,274,168,
174,088,664,759,670,438,030,102,356,698,022,290,638,882,708,323,879,367,519,
026,387,079,447,230,365,258,486,237,646,433,144,776,553,366,584,347,969,484,
201,908,859,704,467,917,423,324,418,381,212,419,897,127,324,251,526,963,888,
800,731,250,926,050,064,033,556,629,168,862,892,264,170,476,200,868,817,253,
061,803,425,992,067,117,716,773,104,155,951,706,474,862,163,505,335,812,621,
653,704,940,090,849,534,462,403,493,888,516,777,304,286,498,636,700,311,072,
022,748,010,764,475,594,525,530,996,434,603,499,297,458,054,677,839,286,323,
849,960,528,549,718,160,564,463,558,145,697,581,974,747,935,927,302,107,197,
940,379,716,233,295,937,628,704,228,060,033,240,081,259,508,326,933,658,031,
536,458,804,938,102,861,422,423,988,593,032,212,612,365,829,142,927,187,876,
060,839,785,347,652,100,340,738,679,826,931,215,735,604,199,480,484,329,796,
702,868,071,445,770,042,409,456,257,757,483,338,390,853,228,023,099,249,896,
130,294,760,602,443,833,497,246,619,851,928,483,043,287,705,031,549,839,192,
258,454,670,298,817,930,792,715,528,564,303,787,431,487,638,373,794,914,145,
552,210,361,390,161,743,950,419,292,468,008,916,194,199,774,457,504,158,801,
807,753,844,462,883,969,536,151,359,212,150,184,190,101,042,286,930,556,380,
928,596,349,107,779,494,927,508,440,345,283,547,225,217,833,343,474,260,648,
013,928,627,944,528,998,750,123,302,845,216,535,418,295,415,934,733,999,373,
592,121,311,817,995,903,370,628,433,461,743,585,594,070,925,474,844,787,698,
850,574,578,781,925,913,841,970,099,808,578,258,355,813,785,492,370,269,435,
595,334,922,636,057,197,595,274,270,303,211,111,552,318,792,321,570,341,642,
007,390,663,439,445,407,206,465,455,833,129,286,834,054,542,189,256,626,193,
391,584,517,502,689,963,696,592,287,773,128,454,810,212,717,650,725,096,871,
284,879,942,858,289,149,898,581,147,289,797,652,977,119,071,872,768,135,046,
727,389,255,473,147,523,326,995,778,061,272,908,455,044,278,767,169,986,671,
871,572,861,734,430,782,343,224,405,392,502,599,858,127,821,499,647,554,035,
762,721,877,701,475,408,936,419,333,110,670,344,940,030,155,086,409,903,748,
012,198,807,677,391,648,709,531,783,644,989,125,670,090,360,021,618,260,819,
515,606,070,698,694,839,818,582,604,573,193,756,997,603,983,647,689,208,878,
268,614,197,538,394,877,833,475,262,766,987,352,584,999,896,829,903,807,450,
121,063,464,490,718,308,125,629,462,067,438,112,652,896,701,565,912,874,353,
549,511,770,986,031,057,620,970,862,483,129,178,474,861,058,972,935,345,198,
143,948,942,672,244,233,152,446,510,064,702,305,248,570,648,742,291,468,364,
913,466,339,567,882,922,318,834,896,472,445,676,079,000,717,609,324,934,360,
498,109,804,724,139,011,573,145,212,169,381,270,832,994,647,510,466,710,690,
822,593,174,991,624,274,921,504,527,632,893,407,740,229,300,667,986,648,939,
382,359,289,859,976,683,517,167,814,150,255,959,070,996,691,246,421,303,388,
194,207,508,014,914,234,061,887,101,700,451,875,159,198,588,714,529,350,700,
676,807,537,173,608,592,265,664,495,915,960,406,098,875,041,671,541,499,913,
965,964,008,530,541,773,424,767,620,040,225,273,591,337,555,434,309,336,115,
240,493,399,104,330,632,559,727,157,904,525,991,407,997,826,574,335,189,132,
145,915,156,057,443,797,316,534,040,100,400,775,943,486,478,071,694,945,773,
955,076,304,790,050,041,820,152,771,071,568,032,406,185,772,583,216,063,880,
028,410,484,277,590,961,966,711,929,370,018,583,986,129,451,320,148,300,445,
100,180,545,185,028,845,122,593,012,496,277,701,324,148,171,650,772,480,575,
760,006,392,575,200,624,160,049,445,551,189,308,432,377,784,988,985,000,839,
216,876,348,009,287,034,319,075,810,066,768,628,793,973,285,280,735,004,793,
892,075,380,053,271,255,330,419,292,023,829,943,860,480,118,888,795,758,416,
209,250,430,148,082,611,756,654,155,494,836,087,652,159,768,712,783,626,482,
895,334,311,411,416,153,905,236,090,557,693,071,367,401,819,418,839,069,125,
877,681,118,854,887,628,835,644,073,462,420,623,273,408,195,743,965,255,265,
285,836,879,106,077,053,059,177,522,688,524,669,115,738,553,705,660,530,575,
894,083,663,585,559,412,099,358,858,684,212,963,916,803,004,196,736,315,200,
746,454,865,163,185,691,241,277,787,994,153,736,685,936,556,101,405,282,482,
549,077,868,927,427,305,988,733,545,175,288,351,604,791,367,221,508,898,374,
158,879,000,927,072,632,832,511,147,342,082,658,592,330,000,260,573,634,904,
921,532,739,936,606,460,884,804,069,682,220,559,873,584,494,139,934,401,881,
758,341,733,633,465,976,687,960,091,905,300,260,119,327,358,766,133,283,475,
135,884,959,808,875,141,901,735,386,401,636,049,411,828,095,315,316,783,031,
500,676,403,252,128,485,682,409,611,901,840,634,968,620,840,151,332,903,986,
525,854,732,249,817,438,110,503,076,308,828,026,863,377,336,195,610,832,089,
630,059,193,965,920,491,539,108,376,554,701,735,779,029,657,496,621,361,212,
390,743,927,212,260,280,588,473,470,387,940,187,300,157,417,140,768,430,734,
709,999,530,417,533,476,335,218,717,195,781,059,646,945,074,908,282,229,115,
910,545,403,437,232,831,955,329,320,879,766,833,082,798,965,024,970,132,813,
564,164,967,418,386,079,910,502,405,399,742,177,590,902,222,142,966,834,613,
778,166,859,339,208,957,007,718,777,920,180,002,870,388,581,943,580,250,583,
867,557,108,796,073,933,140,331,386,946,257,516,212,288,306,190,214,636,376,
257,654,402,012,990,971,460,113,248,400,442,121,502,722,609,774,585,302,165,
225,984,902,255,498,039,162,658,543,318,637,079,542,281,632,721,585,538,963,
690,832,872,693,390,640,460,023,598,383,340,393,021,667,853,214,719,012,397,
825,581,711,001,233,397,558,041,123,214,780,119,980,945,431,023,839,389,913,
290,355,667,813,537,483,978,510,283,046,599,922,974,722,630,369,243,234,233,
428,811,292,021,377,909,191,083,993,599,176,129,465,018,656,137,016,073,286,
957,446,957,285,883,427,610,806,371,289,830,094,866,477,283,382,134,930,710,
110,998,363,850,823,214,308,571,861,583,365,372,408,138,482,650,329,632,739,
974,610,973,758,365,953,413,178,363,761,533,936,963,257,805,694,954,906,791,
358,445,540,305,420,916,486,052,615,123,860,796,628,250,012,475,584,688,854,
901,859,838,719,707,245,226,693,682,648,369,558,236,653,411,996,353,771,484,
058,910,351,900,143,522,003,227,795,391,294,289,110,513,557,179,046,406,299,
775,136,550,336,217,299,317,685,694,071,300,680,691,478,042,833,987,639,830,
837,463,295,151,702,454,648,214,759,384,765,199,490,832,680,045,657,152,693,
753,125,947,166,378,409,722,394,448,303,156,427,373,302,442,093,003,462,539,
567,927,736,755,362,700,842,785,475,693,393,201,863,579,135,141,949,841,178,
402,192,758,828,056,129,863,496,761,514,566,086,278,548,943,604,802,219,354,
913,914,672,508,895,804,797,995,088,869,541,591,025,473,391,656,235,741,031,
906,907,473,136,020,750,104,700,872,037,917,091,225,340,960,077,884,853,965,
576,268,255,304,122,052,116,567,153,190,950,207,425,049,888,891,650,426,213,
164,858,993,967,879,564,849,526,264,010,802,210,477,482,725,947,649,804,019,
921,889,891,847,920,764,355,817,824,084,749,594,127,206,433,254,330,949,979,
986,549,576,503,444,927,415,484,425,667,835,995,938,051,466,164,694,984,993,
821,499,636,411,677,955,560,600,530,296,128,616,582,631,410,155,822,822,906,
792,271,102,687,033,791,224,300,938,064,206,981,581,825,694,027,285,207,197,
326,707,964,921,786,569,185,217,660,949,449,553,633,836,498,621,264,532,822,
105,999,812,112,846,762,891,027,918,235,683,680,826,975,250,865,953,398,931,
533,747,560,230,224,178,608,674,497,710,487,477,851,211,866,705,733,798,977,
286,647,641,661,941,077,172,974,835,000,212,323,951,694,726,791,084,794,377,
405,990,977,599,733,293,340,628,163,418,815,393,006,219,941,503,227,928,953,
768,415,581,354,963,686,649,233,079,677,817,597,903,682,780,682,693,116,042,
497,590,757,373,985,039,479,464,133,513,919,129,187,194,885,220,189,886,337,
395,533,089,097,185,114,643,684,305,290,635,820,988,981,328,753,786,194,090,
924,500,520,811,235,077,316,232,194,096,539,980,789,069,117,060,996,853,274,
897,634,171,431,193,847,994,871,450,527,907,575,544,237,855,055,710,758,919,
942,047,722,691,684,697,747,492,160,628,518,538,352,716,424,261,486,878,653,
301,992,633,616,216,356,791,851,202,825,712,910,789,013,648,302,759,599,541,
941,270,146,021,108,910,331,812,836,717,712,703,170,741,091,241,578,980,297,
082,607,375,169,142,021,222,575,226,898,782,521,709,959,958,584,244,495,022,
369,444,461,733,178,913,985,433,189,478,712,388,120,479,227,240,257,886,648,
720,499,681,566,048,893,930,939,070,087,009,687,503,659,355,722,820,550,051,
321,333,734,524,853,864,523,407,069,819,084,007,548,441,881,073,185,020,015,
058,007,928,858,053,701,336,810,913,215,033,667,589,379,013,586,533,559,275,
558,719,036,713,177,177,273,577,212,158,515,545,716,904,378,863,407,923,938,
669,704,118,516,063,221,015,216,375,970,462,097,220,104,126,603,593,031,472,
235,541,997,183,258,818,659,767,898,659,038,294,285,481,334,018,018,759,527,
052,286,092,893,251,649,111,390,991,798,062,959,243,756,244,865,651,385,815,
608,298,559,415,571,902,803,304,516,027,940,848,512,606,479,984,143,486,467,
401,899,449,337,062,466,977,245,029,474,266,365,136,160,647,995,363,019,899,
391,604,393,144,236,976,589,052,714,731,127,839,034,536,121,301,567,014,768,
387,575,239,421,465,246,344,474,658,350,042,385,164,071,523,589,263,291,561,
030,321,251,177,663,952,265,598,281,054,596,869,793,688,791,001,333,076,483,
175,861,854,340,076,562,894,472,136,427,871,392,427,522,636,220,332,668,171,
570,446,661,082,031,185,199,623,432,489,090,283,726,506,464,559,141,902,015,
041,206,600,871,348,991,171,573,943,777,699,631,153,395,480,398,895,061,577,
141,553,185,173,032,994,821,663,491,013,803,809,257,101,313,173,672,869,721,
373,304,489,567,237,347,576,897,750,086,501,912,638,607,989,351,938,915,619,
392,642,035,559,588,072,323,889,405,767,134,922,352,814,142,354,477,362,478,
127,940,807,073,525,787,631,205,309,784,062,086,073,605,456,100,819,625,219,
041,687,628,862,648,849,723,471,982,311,063,830,034,594,262,585,013,006,115,
431,321,266,811,516,886,404,307,603,977,442,143,016,713,420,743,861,711,993,
259,862,302,819,174,836,877,874,776,674,823,941,361,775,255,960,779,949,096,
702,257,824,372,711,396,114,843,044,093,072,343,429,812,421,793,793,280,060,
960,136,148,827,404,391,121,908,150,448,314,673,558,909,446,555,677,051,927,
257,558,969,602,438,845,361,436,701,511,751,088,059,040,203,110,448,394,732,
015,797,314,277,254,685,959,298,032,218,552,387,629,654,343,742,286,173,756,
057,821,886,887,274,950,619,928,855,932,302,896,792,459,730,992,887,941,549,
165,892,816,382,686,507,014,982,905,288,104,120,067,382,308,590,678,563,829,
344,014,459,331,510,408,504,975,487,470,230,498,822,795,505,136,556,930,624,
545,183,324,554,507,738,107,661,493,221,202,434,052,238,508,737,698,835,182,
824,533,103,975,687,425,187,339,707,236,351,457,553,197,345,495,822,300,402,
260,779,547,143,547,866,313,666,865,328,974,987,031,907,206,175,001,824,456,
479,300,632,619,042,851,356,765,883,675,966,536,233,297,212,511,071,756,366,
791,587,308,568,007,515,643,985,476,975,128,779,503,353,716,698,717,125,161,
279,813,476,195,188,220,061,299,166,968,718,716,699,648,258,693,952,403,786,
819,798,501,370,829,412,900,460,935,738,512,113,445,725,540,164,602,078,925,
171,726,053,500,225,385,965,267,330,872,489,162,553,130,001,742,437,792,811,
009,935,210,025,707,399,872,365,282,666,045,216,325,544,457,258,054,823,807,
146,936,441,604,799,641,266,724,703,041,687,754,860,383,560,943,390,892,323,
300,941,234,265,884,344,443,068,431,143,743,308,420,684,496,749,709,614,844,
693,103,803,007,347,861,219,699,185,047,007,754,871,636,254,158,318,225,220,
039,242,079,871,315,338,429,957,705,559,138,387,657,122,690,557,738,840,992,
560,234,600,655,294,065,618,452,816,903,696,717,757,710,281,116,754,791,253,
752,510,680,566,726,371,067,377,831,735,883,164,500,549,652,109,977,047,733,
029,041,425,737,948,129,041,941,037,483,641,384,616,110,142,948,827,287,551,
919,725,407,716,012,963,584,842,664,880,594,586,041,738,485,784,162,878,883,
589,607,246,195,816,683,299,260,252,697,158,287,431,103,698,893,383,654,122,
017,353,740,922,168,052,187,726,523,661,112,199,532,990,693,391,190,933,633,
266,210,505,339,877,428,334,728,573,599,159,339,565,036,918,485,515,128,501,
953,494,939,511,608,931,822,471,261,008,607,196,354,492,094,654,190,783,509,
154,647,822,307,734,668,583,457,115,065,011,507,279,585,466,383,509,615,292,
512,209,132,416,424,226,444,274,042,596,579,369,493,072,614,667,348,577,109,
038,024,776,415,983,261,753,525,712,435,688,390,913,509,263,345,325,221,927,
116,975,510,802,657,521,488,312,522,428,271,155,191,121,413,292,877,699,113,
226,682,101,936,284,817,102,815,267,835,876,902,398,703,737,871,039,476,863,
167,180,544,807,483,039,111,047,783,086,153,727,648,480,710,714,056,730,474,
549,288,503,672,800,048,809,462,849,977,670,088,204,575,374,579,209,829,096,
827,861,501,126,902,120,836,703,545,027,406,069,281,188,399,559,872,808,606,
072,053,685,442,340,728,861,288,228,714,409,429,989,085,115,959,664,646,439,
191,625,507,819,382,060,849,055,432,844,502,792,107,638,210,303,022,303,704,
384,825,773,519,061,024,390,371,795,483,389,179,457,603,778,057,517,600,388,
856,235,342,439,358,274,103,396,704,392,026,899,304,680,244,863,794,637,402,
493,183,426,197,957,994,134,905,069,921,674,737,688,644,036,607,021,581,240,
862,283,452,091,788,523,261,700,038,029,300,529,171,517,281,560,974,648,364,
869,036,637,489,805,525,926,317,393,518,675,156,300,295,474,020,418,843,575,
538,508,195,805,915,273,437,124,562,355,136,316,941,139,934,976,625,331,017,
160,745,326,552,739,259,350,390,585,995,606,015,066,563,146,746,339,708,090,
677,011,580,651,479,974,612,626,281,086,116,933,333,318,517,693,546,415,927,
444,856,168,674,618,039,736,690,817,825,863,370,768,035,935,555,484,155,822,
013,485,451,040,912,846,171,394,189,628,124,858,812,325,597,744,792,350,459,
502,434,332,803,312,293,351,508,187,051,306,618,470,531,144,323,204,664,998,
838,290,836,977,694,156,560,881,329,818,005,000,660,053,429,712,421,636,280,
347,194,566,459,578,926,183,820,061,659,138,192,286,385,296,433,361,662,450,
330,922,546,429,737,364,569,609,108,054,892,391,562,081,984,751,502,631,753,
392,587,259,372,393,313,418,549,883,165,281,799,915,943,771,253,657,120,104,
336,245,133,142,973,468,988,354,817,342,106,420,083,137,083,891,010,670,800,
653,422,448,074,077,173,492,397,912,837,130,740,874,411,613,830,664,741,678,
000,423,690,796,074,433,030,633,147,979,728,890,196,030,311,475,982,114,493,
777,570,265,594,805,842,564,013,443,581,038,257,443,638,580,096,152,494,054,
393,169,184,393,273,050,121,775,806,711,567,498,601,145,158,395,334,956,397,
305,223,388,280,793,473,014,348,905,400,818,310,511,926,300,374,135,800,854,
567,459,642,146,603,458,679,659,058,168,437,505,190,593,829,555,210,461,194,
285,494,291,594,093,961,005,834,626,219,443,034,458,689,904,361,549,677,170,
973,664,782,610,394,254,991,816,122,983,403,239,950,051,232,614,315,204,260,
730,969,405,213,262,416,791,259,092,052,537,471,307,679,218,754,467,008,014,
780,807,096,544,829,569,793,134,697,361,195,084,852,770,469,907,123,338,033,
154,591,555,945,474,532,089,594,330,016,732,567,131,314,069,788,979,555,338,
828,171,068,299,013,633,794,264,610,214,348,559,055,882,841,324,683,844,657,
923,802,331,324,460,904,478,029,372,174,132,993,835,574,263,661,696,286,826,
169,039,605,470,426,973,573,309,573,537,462,381,146,173,305,929,299,638,491,
146,383,632,626,652,541,246,173,941,051,223,547,393,651,755,128,880,210,675,
599,033,822,642,503,065,343,119,252,952,391,960,529,748,354,452,065,148,580,
339,424,341,331,640,259,502,581,907,183,213,256,135,512,086,129,773,370,825,
947,826,215,785,601,035,514,506,835,522,859,283,522,801,016,153,693,390,327,
018,479,688,184,650,934,271,114,281,090,513,248,939,169,138,344,875,677,885,
526,171,417,638,300,285,103,788,319,200,886,057,725,268,132,453,431,323,069,
494,821,305,088,265,455,581,359,353,595,768,840,599,600,102,906,237,884,199,
757,670,025,961,342,847,181,731,569,267,034,026,181,994,334,995,951,769,174,
335,144,347,768,732,137,457,437,452,412,440,364,205,221,635,433,070,470,671,
869,183,845,253,875,854,973,799,827,551,830,083,519,263,268,362,086,124,112,
898,361,902,141,592,406,603,257,114,925,137,523,779,609,413,445,201,274,407,
236,676,049,395,010,984,841,459,317,158,751,684,755,318,245,410,612,504,219,
430,530,045,220,104,044,961,690,658,128,986,980,419,579,278,806,381,045,418,
853,939,401,693,994,855,567,604,033,508,109,764,084,466,768,978,202,020,310,
013,209,435,578,116,309,782,380,878,976,512,610,441,947,088,780,956,007,604,
319,783,568,824,008,596,995,252,584,039,191,016,082,910,387,174,459,236,145,
576,373,705,579,066,772,722,808,735,366,166,899,898,126,553,016,785,910,044,
785,907,429,664,432,827,335,452,350,058,933,585,671,381,440,057,146,448,697,
166,813,712,241,076,818,121,541,827,398,404,986,345,794,928,323,094,119,035,
035,637,223,549,203,256,033,616,595,852,126,435,907,852,262,555,300,371,671,
268,900,601,745,293,914,544,009,248,202,523,685,060,622,173,219,875,447,036,
107,770,923,854,387,927,957,287,600,354,017,346,655,703,664,862,947,248,720,
029,451,258,027,657,466,467,317,434,448,290,192,365,724,972,849,496,224,207,
025,831,931,050,295,916,029,567,299,812,951,099,598,478,733,664,449,670,583,
387,844,493,585,567,104,678,145,531,846,404,940,976,281,002,097,025,640,762,
216,879,137,373,084,692,329,257,077,702,659,470,017,821,067,491,878,585,305,
351,116,743,956,096,237,318,316,986,634,304,782,519,585,595,887,962,722,102,
025,846,932,971,288,547,179,280,718,805,710,642,435,711,807,486,248,866,333,
428,339,569,430,447,177,525,358,919,596,194,341,593,046,562,836,014,642,601,
832,296,538,791,249,865,450,827,996,284,006,942,243,588,850,063,105,518,756,
015,081,586,748,001,691,707,302,341,637,783,536,357,840,804,534,605,200,721,
910,966,534,452,036,321,163,324,999,086,919,437,429,838,153,815,336,966,524,
774,032,901,476,462,331,053,122,090,436,474,858,752,344,522,876,782,268,708,
833,952,385,226,286,359,463,776,387,082,008,024,903,240,867,983,561,922,424,
837,719,310,648,052,373,545,001,713,974,979,110,365,322,849,109,831,558,530,
024,797,308,405,898,073,518,330,266,713,809,675,263,551,149,649,783,797,559,
750,276,978,902,268,629,964,878,708,110,469,311,959,050,850,642,576,129,410,
363,861,760,070,798,133,512,188,003,469,916,864,943,286,795,380,161,577,691,
554,551,030,144,567,649,265,195,262,161,997,573,928,339,535,369,218,961,920,
595,865,758,866,227,578,877,725,354,073,891,545,901,470,694,990,216,934,211,
150,828,207,605,877,122,209,715,278,733,845,548,989,252,912,072,753,693,622,
638,355,348,738,501,357,641,256,909,648,170,604,782,548,838,244,831,426,237,
826,501,411,344,638,350,548,045,845,807,718,390,293,129,955,543,527,055,197,
365,769,439,508,033,277,908,377,982,185,631,219,534,733,224,608,555,247,501,
995,000,092,248,199,882,902,885,916,174,369,498,135,223,742,380,945,155,652,
594,051,402,120,246,450,333,130,413,681,842,203,025,340,572,065,470,574,408,
812,760,701,188,887,728,556,539,679,739,808,111,425,532,734,586,141,875,736,
651,037,056,021,988,882,087,099,721,838,129,421,663,710,925,321,232,843,522,
626,007,980,332,989,740,406,203,242,974,326,765,181,572,866,092,684,828,293,
574,956,772,654,187,814,986,861,531,764,951,533,833,495,224,731,876,487,946,
011,132,512,740,785,229,380,008,546,855,578,832,860,735,679,904,815,429,918,
198,410,937,451,246,005,017,823,071,040,782,539,353,967,986,969,513,267,478,
785,215,293,530,738,235,717,123,265,882,793,811,595,301,031,628,547,260,753,
035,868,205,525,128,702,541,162,464,448,509,254,956,010,853,198,097,980,290,
853,096,266,186,551,331,881,993,062,918,439,982,313,077,890,166,762,200,036,
390,525,507,156,864,301,392,896,585,341,846,686,713,960,622,803,104,118,163,
253,653,401,739,391,709,369,664,046,281,864,880,517,121,431,286,421,676,105,
304,696,571,170,068,110,516,690,285,628,939,541,939,048,530,406,768,098,968,
520,832,973,423,898,298,705,368,688,670,397,055,227,024,462,532,387,386,180,
040,077,628,072,680,831,114,813,595,360,161,763,337,784,267,340,404,196,523,
811,102,398,385,292,377,816,458,926,949,835,090,132,623,126,209,144,922,066,
646,355,141,603,450,062,727,692,061,640,714,003,088,684,934,608,745,734,343,
326,328,617,899,074,160,720,343,766,119,069,178,094,735,436,633,182,150,301,
847,991,386,705,253,455,254,038,335,523,882,838,836,864,391,982,994,002,359,
538,382,240,596,362,996,191,559,785,101,200,417,547,454,678,424,459,848,362,
786,418,373,373,431,637,045,526,522,427,303,885,716,964,127,520,814,889,372,
961,705,395,310,507,879,387,676,805,560,856,791,561,986,374,831,636,229,737,
266,639,378,753,162,573,834,291,841,357,054,147,832,816,990,392,238,260,240,
102,475,871,531,278,107,426,561,755,855,846,390,500,708,367,926,333,476,394,
497,628,998,794,441,946,436,790,489,637,101,964,686,047,540,622,787,796,533,
259,905,048,386,781,389,154,328,049,819,242,900,212,055,436,375,851,430,015,
997,279,053,129,556,790,789,218,267,238,962,725,814,530,540,116,268,855,201,
330,575,375,571,084,770,320,124,984,351,746,008,280,781,728,797,308,112,815,
377,069,000,999,523,398,873,544,784,223,857,005,200,820,567,172,785,862,559,
343,166,833,540,692,209,988,279,513,177,583,841,610,636,037,069,165,561,190,
153,308,300,867,237,868,909,074,566,699,716,974,301,856,500,426,195,514,330,
558,713,569,307,595,956,879,402,377,194,232,549,353,782,533,433,648,671,211,
736,163,918,782,201,458,774,261,355,495,599,277,055,171,780,612,657,881,346,
792,421,291,494,154,887,310,268,745,040,795,355,149,550,062,715,387,507,198,
840,761,329,928,135,574,876,132,356,952,185,980,670,340,077,554,357,639,301,
801,592,364,513,672,070,437,674,814,595,275,716,902,842,843,830,787,842,416,
350,790,120,513,960,752,290,683,468,489,617,786,540,640,526,041,554,556,422,
107,604,208,333,185,712,065,713,680,221,381,550,300,665,169,524,211,701,177,
157,266,998,254,699,249,294,158,956,434,504,454,703,306,822,233,908,464,281,
755,798,630,313,897,757,731,254,714,502,879,324,173,846,651,021,969,487,493,
326,731,388,459,650,354,985,057,635,371,972,725,497,904,475,500,101,509,935,
385,839,802,836,344,345,810,353,512,691,491,344,338,853,560,045,705,538,712,
997,128,864,115,531,014,185,495,793,883,042,967,582,049,404,617,052,714,507,
705,502,509,473,305,971,710,217,920,319,682,802,916,408,284,532,280,754,383,
145,505,639,981,542,817,803,209,794,912,690,157,384,805,074,946,840,405,405,
612,517,134,699,598,508,192,744,259,255,639,751,728,278,970,494,860,625,328,
101,780,834,686,449,097,413,435,472,622,469,651,622,991,855,520,519,952,065,
630,789,052,800,659,279,268,845,745,618,316,185,136,497,524,611,861,282,377,
815,698,024,701,099,200,940,196,242,356,337,554,200,021,426,553,132,631,741,
043,604,782,089,781,213,333,525,462,699,693,389,409,669,466,974,723,492,999,
795,597,026,247,920,987,560,641,114,878,270,914,256,429,327,216,848,422,704,
443,672,111,565,279,750,980,590,782,199,666,186,409,858,487,745,350,148,245,
955,258,646,964,718,083,098,690,503,355,876,856,692,243,109,414,811,518,920,
285,315,870,354,871,412,075,807,434,816,069,865,810,463,338,379,295,451,203,
149,815,305,526,055,399,231,795,270,640,684,738,319,354,554,743,507,843,271,
032,555,270,677,300,826,252,387,223,031,009,403,577,592,446,315,018,921,313,
565,186,352,331,989,899,743,487,348,628,443,882,248,413,728,298,511,441,484,
768,575,873,740,636,896,947,094,171,324,574,601,145,617,776,387,245,830,982,
907,620,830,509,568,029,737,925,666,389,529,749,922,316,884,419,080,539,693,
322,770,517,613,124,447,401,068,141,383,697,362,406,510,380,356,695,943,013,
126,777,723,313,924,281,044,322,948,417,849,715,179,526,374,360,392,906,835,
400,225,567,078,638,608,670,504,989,775,424,072,513,554,038,510,762,177,447,
698,768,862,830,315,864,577,048,598,013,967,184,200,393,916,418,697,859,255,
648,350,091,253,633,795,374,552,473,885,512,919,698,850,601,945,932,554,293,
052,445,524,338,764,490,129,739,000,286,729,886,381,025,367,911,359,183,245,
303,048,761,710,502,377,806,639,637,850,859,961,936,067,977,441,604,931,556,
592,927,505,091,457,700,332,999,457,531,185,166,219,536,688,228,726,094,021,
216,720,848,328,612,988,582,048,356,052,120,882,352,834,343,207,009,603,930,
617,587,795,564,736,600,714,861,030,381,299,008,292,122,357,209,734,428,528,
323,584,806,027,026,939,539,601,533,334,593,886,025,325,164,494,145,052,790,
029,376,373,254,759,002,375,116,449,476,545,899,302,957,929,531,463,324,881,
231,983,857,322,975,386,578,497,014,922,613,759,860,981,295,815,671,675,054,
803,764,273,110,746,769,520,343,077,467,707,527,811,050,848,339,056,124,394,
915,041,212,116,637,676,894,777,111,108,478,972,833,354,882,897,493,785,800,
200,933,084,655,111,769,142,652,122,130,129,381,140,626,697,098,775,782,370,
110,940,958,183,222,159,810,978,254,181,721,606,686,028,892,128,553,117,528,
031,190,436,012,605,095,207,912,137,388,676,467,929,308,603,540,346,479,419,
528,968,886,666,711,916,718,227,517,990,722,486,366,891,479,267,481,380,950,
210,313,649,766,844,979,771,862,982,871,816,442,884,641,183,575,518,905,922,
786,383,302,215,620,167,229,355,780,380,504,007,398,205,680,327,104,992,409,
632,047,983,887,025,622,444,343,724,040,346,597,083,316,021,081,030,294,498,
682,144,300,177,253,136,592,346,955,546,754,499,499,768,138,293,517,164,954,
070,005,568,965,121,066,060,335,095,928,581,855,778,121,715,695,019,370,811,
785,425,859,382,131,409,868,435,927,709,057,178,104,151,768,087,287,090,832,
299,350,500,364,824,674,159,835,983,489,702,176,418,512,299,564,630,688,380,
499,746,583,816,468,430,070,278,004,609,562,372,631,333,856,462,640,458,889,
982,925,877,654,219,938,484,277,564,967,189,143,077,459,599,420,891,227,056,
527,061,792,817,125,285,342,378,777,720,787,293,091,118,864,995,290,881,086,
265,033,489,501,113,139,469,229,882,252,085,142,887,929,300,904,913,611,267,
532,640,897,312,791,367,068,958,468,818,374,898,948,054,345,766,612,543,715,
278,758,351,219,524,935,386,190,242,205,488,050,704,384,324,073,313,687,618,
547,180,980,885,268,591,311,798,510,437,600,333,040,936,446,742,618,110,825,
064,283,447,594,684,487,289,337,523,663,345,548,364,443,767,284,306,634,664,
908,780,774,898,099,893,075,072,759,779,946,171,353,199,506,507,805,179,037,
487,829,227,870,269,240,901,800,602,482,025,358,769,791,421,824,053,369,753,
999,774,895,211,055,050,949,905,551,913,531,702,492,465,166,068,479,676,494,
173,232,312,458,513,979,775,481,573,463,297,413,094,607,125,432,474,772,193,
588,059,355,760,173,735,544,765,674,897,846,718,119,051,530,614,198,756,231,
822,669,906,027,375,565,550,396,028,462,527,186,708,152,190,747,564,392,682,
233,668,795,737,541,750,450,390,783,939,514,916,591,386,800,350,556,020,068,
072,544,150,364,378,536,230,646,389,301,573,693,956,781,161,942,543,337,874,
610,167,510,936,430,148,462,036,672,048,671,246,285,224,595,484,604,002,793,
833,646,421,415,450,196,778,704,805,065,136,379,362,347,307,094,612,503,249,
139,756,329,818,910,495,585,232,340,049,456,069,541,082,800,802,078,399,858,
973,314,090,559,299,957,324,997,782,423,433,799,660,448,718,998,576,490,313,
449,016,206,132,561,700,001,865,979,886,671,349,180,692,592,569,048,019,695,
842,811,385,167,858,950,169,054,508,991,744,683,824,815,304,423,575,306,557,
454,337,104,838,433,194,958,982,155,627,134,613,391,387,681,912,485,949,469,
034,949,176,977,426,049,272,020,610,277,726,396,713,812,982,051,427,270,342,
706,689,933,773,465,065,053,604,041,599,424,503,826,030,458,622,788,838,088,
493,980,695,520,908,723,238,254,915,255,265,380,545,400,268,092,155,202,097,
275,634,546,934,661,147,769,578,922,377,042,052,195,057,731,182,751,367,365,
837,580,506,664,863,408,604,723,092,119,406,708,796,887,404,367,832,315,118,
398,628,527,405,639,001,935,160,317,992,310,623,450,349,738,901,806,084,963,
083,670,197,767,585,329,678,880,920,399,646,321,210,840,216,609,987,357,501,
484,092,144,352,062,853,323,794,370,840,447,108,425,051,251,492,300,240,707,
296,690,248,277,815,762,685,276,180,584,640,711,525,700,839,879,732,335,903,
209,405,687,717,675,472,887,796,106,775,964,479,272,025,891,045,223,028,959,
899,162,710,227,472,354,044,164,935,834,592,203,553,148,536,346,997,708,632,
095,748,760,935,799,604,887,206,466,335,609,666,426,434,787,287,723,550,158,
633,298,456,327,758,585,506,070,583,842,022,397,245,888,679,088,374,193,038,
898,357,632,056,726,467,368,248,090,502,310,898,318,457,152,962,755,985,146,
228,983,021,945,202,493,705,671,238,735,341,225,515,804,774,906,318,542,243,
324,888,135,146,710,835,457,909,944,829,431,857,049,546,645,157,264,187,504,
543,994,893,568,373,335,178,728,139,313,341,193,528,207,308,200,746,276,826,
405,499,873,345,555,761,730,183,931,214,567,540,100,438,851,803,591,446,518,
067,758,598,766,653,418,407,839,430,057,613,793,567,145,458,434,090,181,374,
795,936,845,309,760,061,650,243,276,050,338,896,908,129,409,164,095,847,267,
888,095,843,288,505,313,393,565,616,117,283,791,751,540,767,012,543,097,761,
026,516,515,812,294,321,546,472,924,249,325,815,577,640,049,682,812,451,189,
759,108,915,227,161,585,492,923,929,186,343,046,353,656,619,161,827,491,439,
040,332,486,670,231,786,300,620,672,504,419,034,020,716,449,504,816,022,278,
567,020,505,893,612,729,282,615,068,727,064,141,923,067,938,631,807,394,950,
269,236,390,727,500,464,307,870,593,503,606,477,754,676,025,059,339,999,723,
835,120,926,284,568,182,912,600,224,525,583,725,403,340,095,479,520,844,188,
224,720,436,013,941,499,473,563,147,312,116,695,862,905,055,212,318,606,539,
087,415,622,118,043,125,393,699,915,547,915,118,495,100,938,900,490,233,464,
550,884,528,971,577,691,792,206,851,670,557,822,885,264,433,468,139,726,168,
434,082,536,830,050,300,383,719,303,926,171,649,953,770,372,212,025,831,844,
454,735,652,798,699,928,832,422,349,729,511,792,187,753,417,143,362,051,640,
869,335,182,023,649,249,875,685,409,335,430,175,953,575,240,040,031,164,494,
660,312,504,272,387,013,443,680,630,036,855,040,596,571,929,087,183,611,875,
160,400,067,383,958,793,213,060,683,197,129,871,449,367,428,680,008,600,985,
205,807,225,269,098,702,178,206,260,172,507,916,855,482,029,228,589,202,992,
829,929,892,183,634,834,561,032,524,556,425,243,730,365,279,616,228,519,075,
266,481,416,043,019,755,927,752,229,960,622,948,596,508,504,178,402,959,610,
183,730,776,726,704,613,861,996,615,306,865,385,652,441,983,942,281,177,716,
655,735,221,985,978,508,129,287,176,043,720,840,283,465,987,369,311,997,896,
250,843,507,017,107,250,757,427,058,094,464,909,523,875,590,706,847,604,407,
723,344,029,284,221,934,354,275,876,398,278,303,742,909,168,919,518,670,741,
367,614,225,979,992,988,691,279,949,653,140,048,245,274,653,764,805,639,040,
996,043,241,366,002,746,930,780,876,060,153,202,469,726,831,961,431,383,692,
457,062,100,316,205,467,179,561,164,844,583,448,695,458,782,177,895,293,159,
210,448,041,360,564,991,122,639,893,030,960,490,203,906,112,276,018,251,079,
217,628,329,734,838,597,236,563,215,480,858,503,723,257,281,440,415,396,471,
417,298,670,179,431,007,828,128,806,637,272,174,945,602,968,603,742,006,034,
004,411,556,810,306,186,192,744,325,811,928,410,720,162,959,318,363,990,005,
030,870,449,116,980,616,337,562,865,659,682,135,317,413,299,005,986,948,971,
984,553,403,855,356,452,956,689,348,038,687,046,997,982,442,932,226,052,629,
508,584,425,625,450,500,391,121,368,835,484,346,033,663,107,215,186,851,323,
126,131,037,137,548,624,964,028,851,822,355,445,651,489,379,240,742,551,892,
683,271,337,427,847,235,293,184,507,881,417,103,262,353,656,566,649,240,235,
026,146,274,189,590,381,070,699,957,040,488,969,562,219,440,360,166,469,060,
899,282,966,059,645,606,549,530,960,172,256,271,676,650,598,255,458,634,562,
234,719,960,060,071,627,727,465,374,887,287,167,112,459,519,915,797,651,695,
901,674,878,049,250,572,827,351,824,290,950,429,282,847,699,868,394,206,700,
449,419,575,895,054,978,502,286,859,195,978,939,280,913,194,910,238,032,618,
732,876,869,299,672,465,583,180,103,779,327,675,466,144,245,987,638,584,328,
190,320,073,794,715,354,143,343,980,830,099,697,910,161,810,190,261,354,621,
678,036,286,965,356,851,080,281,409,383,497,650,527,448,900,971,628,908,207,
891,649,010,222,510,881,700,367,854,564,033,243,635,985,956,949,310,009,125,
850,558,601,585,679,108,294,836,313,254,015,126,943,793,881,002,291,325,559,
764,502,482,421,779,750,099,662,994,751,573,909,276,466,728,181,549,703,978,
485,111,402,182,015,521,870,079,479,282,585,477,305,371,757,920,112,568,041,
359,145,241,788,491,886,698,980,191,821,444,317,423,038,709,319,479,927,651,
509,624,010,541,263,821,565,501,696,919,040,039,753,943,402,177,851,538,652,
516,051,140,395,903,633,901,541,167,431,117,415,597,291,673,376,173,614,661,
805,361,720,542,834,446,097,998,689,895,179,076,698,550,920,486,292,329,329,
744,780,927,819,794,305,365,637,341,958,972,676,222,690,101,057,830,874,671,
650,282,815,826,170,788,408,808,780,158,549,291,796,332,842,571,175,566,893,
842,128,459,320,636,698,519,872,764,930,788,731,420,854,390,087,204,686,523,
397,261,880,907,116,851,747,690,879,504,504,314,065,282,799,380,228,986,255,
211,472,273,551,250,540,488,377,150,638,592,853,611,926,108,430,239,986,602,
812,545,254,736,914,154,490,765,440,936,862,193,921,562,458,051,623,302,866,
190,525,103,225,504,033,298,431,781,485,710,470,013,530,134,934,580,865,977,
541,157,449,767,928,560,113,640,475,424,264,270,931,181,673,405,075,499,127,
148,667,591,416,965,408,870,448,800,315,114,968,391,468,615,428,600,566,112,
896,540,808,504,723,697,638,948,342,463,854,844,695,108,345,342,391,137,804,
478,969,659,745,238,552,376,248,902,046,866,510,093,927,947,532,033,050,327,
505,538,547,756,387,064,837,449,720,388,125,354,694,974,597,339,492,089,837,
262,950,285,733,728,561,567,956,671,683,854,050,172,983,140,415,977,626,929,
518,016,771,081,576,723,944,421,489,296,415,351,755,951,097,550,002,018,944,
309,372,839,776,648,128,949,792,545,169,658,430,633,389,879,286,619,658,829,
084,681,247,143,544,346,116,033,800,575,124,813,480,754,471,033,481,602,702,
652,622,999,626,457,823,268,310,341,077,741,901,187,028,391,835,408,172,128,
556,454,268,408,225,221,622,169,921,065,336,728,029,677,158,856,434,219,297,
162,101,566,430,088,073,384,216,409,259,334,401,003,504,800,837,144,035,046,
371,398,866,689,401,789,393,663,961,851,685,477,534,310,531,472,145,766,827,
805,133,680,668,797,680,870,113,599,668,944,316,579,701,546,925,194,176,955,
409,373,668,448,566,933,828,345,623,954,626,898,614,751,921,564,143,050,098,
801,111,530,993,326,883,274,200,307,068,194,559,852,529,529,979,444,291,375,
531,053,163,549,945,963,869,037,944,731,755,768,557,341,208,511,482,765,378,
331,647,265,163,103,191,081,465,659,217,277,397,783,626,495,006,162,301,576,
102,957,061,104,060,147,153,650,561,936,038,499,294,010,265,277,832,573,993,
897,516,716,868,708,235,651,946,377,824,344,783,736,622,602,667,028,691,615,
963,429,423,158,753,352,125,956,124,973,997,683,402,112,011,420,459,915,870,
392,943,539,614,503,438,493,687,942,829,251,186,037,142,484,499,371,057,659,
757,184,820,592,861,133,008,410,558,642,709,959,162,619,989,249,225,422,767,
364,983,319,013,050,929,449,180,930,235,699,124,165,956,173,578,135,727,151,
353,735,389,652,645,116,523,187,203,449,494,620,688,742,618,113,661,453,414,
140,441,923,915,632,443,772,581,373,515,619,824,109,422,130,235,574,669,974,
880,514,472,729,451,159,847,318,262,542,318,150,875,140,582,941,754,530,019,
279,054,108,713,308,652,346,495,930,468,282,533,629,977,999,811,519,184,961,
683,343,907,196,444,272,915,888,453,784,008,828,696,424,226,668,148,378,203,
272,414,253,012,013,966,173,742,278,207,933,167,234,627,223,149,698,414,636,
684,360,031,268,632,058,794,909,905,377,979,231,687,493,757,071,997,393,301,
244,040,247,145,930,604,190,761,322,292,315,281,045,868,054,681,207,249,160,
274,279,806,923,018,702,040,542,084,116,654,268,376,507,252,974,691,995,002,
094,274,538,498,860,494,925,329,970,478,439,260,876,948,781,688,309,963,407,
684,224,076,506,170,377,052,578,447,303,449,065,819,473,743,069,071,962,020,
081,984,201,377,332,151,338,402,702,947,079,432,231,833,472,124,264,561,333,
330,270,646,481,926,726,892,128,364,704,013,830,372,254,209,090,392,957,968,
920,746,072,526,040,346,081,171,535,745,851,941,267,150,519,850,930,384,268,
776,519,356,651,903,080,164,067,972,215,826,012,896,985,109,055,954,845,596,
569,598,843,255,093,409,255,958,613,124,215,011,458,018,745,948,839,102,687,
964,713,000,162,445,554,823,250,761,478,202,986,511,299,612,980,037,818,659,
536,239,995,946,960,936,536,736,734,350,187,244,404,994,666,312,498,351,296,
690,896,195,830,116,482,750,521,390,654,442,366,655,853,033,811,867,414,417,
892,333,057,528,871,573,514,498,438,729,548,650,610,864,690,634,354,453,682,
952,720,626,970,510,491,626,029,319,881,371,168,475,833,677,448,703,380,056,
465,869,275,187,709,521,472,249,783,312,849,678,661,874,873,472,355,468,934,
030,283,581,297,022,314,453,194,236,209,829,079,574,814,411,175,794,526,258,
212,719,542,991,237,926,471,729,896,599,914,604,579,442,344,049,498,298,656,
019,814,663,336,241,187,326,329,619,892,680,608,574,760,862,999,704,030,085,
857,051,605,596,534,318,314,324,189,240,670,559,308,571,737,400,767,719,073,
518,926,447,459,524,625,128,183,548,168,963,314,793,047,878,167,009,194,312,
334,764,767,284,104,214,361,749,651,624,310,374,944,409,621,252,507,154,901,
079,265,536,065,367,592,173,396,177,202,986,530,745,527,423,505,308,823,251,
917,906,376,798,188,663,992,273,220,907,445,214,856,194,970,946,050,996,185,
820,553,797,461,492,362,391,114,533,527,859,425,118,191,104,131,916,967,972,
133,937,725,949,766,772,175,607,785,513,053,041,779,018,374,333,401,718,181,
153,680,800,637,123,041,634,312,011,534,509,227,783,651,624,395,113,024,680,
182,669,249,175,628,262,440,956,908,564,626,357,880,658,036,210,753,000,511,
522,256,465,963,357,239,601,295,325,493,242,457,484,249,586,425,998,591,041,
200,873,052,212,663,934,117,553,803,715,884,340,638,620,421,175,898,158,499,
526,679,674,955,749,909,501,774,329,698,596,960,542,954,619,499,434,620,568,
837,263,238,377,968,147,424,787,089,418,639,212,833,545,449,290,143,949,620,
870,439,330,838,445,597,392,705,662,042,759,240,907,164,857,127,893,422,590,
930,366,706,721,682,103,316,721,680,565,996,811,285,627,106,962,882,828,253,
527,327,831,542,332,681,445,251,720,582,608,294,828,675,813,359,072,715,331,
597,834,320,852,471,626,604,414,680,905,968,604,864,038,042,303,589,201,909,
490,557,403,957,311,154,313,335,825,357,303,097,760,890,258,011,622,567,017,
988,244,514,258,154,431,186,306,843,904,944,141,285,822,636,262,090,862,996,
297,874,995,633,067,744,928,921,772,327,357,153,822,610,305,093,246,067,211,
905,093,153,306,704,429,053,485,612,600,512,605,775,310,614,046,756,780,851,
978,667,565,691,350,570,882,849,474,006,408,288,662,615,965,890,041,792,279,
030,812,337,924,014,048,553,360,823,583,077,707,294,647,560,797,670,405,018,
784,221,443,628,199,078,280,410,630,510,980,911,359,151,270,939,115,592,521,
006,627,324,965,291,901,775,499,194,569,952,177,559,538,077,749,996,898,245,
178,237,553,640,147,867,279,271,925,926,527,637,166,216,142,280,140,200,775,
475,403,194,414,575,567,970,702,546,919,287,596,851,708,868,850,475,337,891,
368,666,875,520,999,368,961,398,633,765,186,711,472,797,060,025,478,460,263,
410,449,767,427,889,178,958,222,485,163,800,988,233,461,933,400,087,377,751,
981,924,560,529,397,527,603,741,894,032,074,859,608,225,887,529,809,428,404,
846,445,821,136,898,872,524,552,199,115,241,232,739,735,354,904,988,621,354,
296,723,806,522,279,883,553,157,706,678,544,081,294,226,290,404,668,198,140,
149,655,893,875,276,824,551,069,897,836,645,685,597,050,318,646,764,925,411,
782,084,310,882,666,611,640,283,222,607,195,966,355,127,353,607,538,946,940,
841,285,533,268,314,240,507,050,353,215,973,599,792,988,125,361,955,714,662,
147,321,081,354,567,273,452,241,100,349,607,850,057,286,226,950,477,991,021,
718,268,099,263,790,108,040,153,657,362,080,733,195,778,842,456,846,171,038,
048,157,162,117,298,443,521,565,884,463,825,170,140,242,794,081,355,361,115,
004,659,332,645,944,982,915,208,550,164,824,209,111,348,083,133,190,639,684,
757,312,810,419,147,712,187,225,243,943,140,170,153,773,623,059,567,707,849,
118,068,229,753,051,803,082,651,472,986,002,190,533,738,037,931,581,903,478,
459,965,668,119,684,978,644,552,141,820,725,628,558,458,291,003,117,166,278,
116,961,553,364,132,587,501,845,724,483,011,405,092,267,911,863,655,498,348,
111,853,775,265,503,751,921,218,101,010,754,502,327,758,302,968,547,392,915,
504,109,003,456,070,262,048,456,216,197,739,276,602,047,538,377,729,025,103,
717,448,976,310,569,999,761,021,614,864,050,221,190,969,415,956,297,032,384,
836,929,963,029,456,379,364,158,760,440,965,685,416,786,520,257,748,533,727,
404,307,716,285,895,268,725,133,022,131,497,797,709,992,332,962,668,066,704,
414,340,482,782,373,592,596,255,557,742,879,189,348,800,722,563,106,965,115,
007,297,368,002,553,619,933,874,227,269,091,880,729,480,038,551,145,244,077,
937,460,873,222,094,122,261,695,679,857,167,935,354,561,275,317,116,800,782,
666,157,400,051,560,429,702,040,797,535,664,783,655,912,579,043,805,435,270,
703,574,306,770,405,029,060,196,289,717,882,508,945,876,423,614,990,193,003,
662,357,803,655,912,758,254,004,791,236,770,258,479,794,345,726,520,248,308,
585,865,485,371,195,568,678,921,556,646,240,035,935,103,278,894,363,098,917,
548,376,981,650,201,690,485,647,021,130,509,049,921,204,557,970,082,379,751,
776,958,868,465,130,889,601,955,650,888,582,471,436,123,700,139,150,415,488,
273,428,757,634,298,043,353,294,450,785,378,270,173,872,602,433,617,760,572,
012,161,671,473,236,586,300,852,743,767,221,474,697,436,329,588,657,400,414,
342,626,920,421,115,325,394,643,499,247,387,663,318,348,604,774,315,500,863,
388,121,583,188,530,823,499,528,244,224,371,110,900,265,092,998,150,988,788,
288,299,020,226,668,150,515,210,168,918,521,718,519,767,376,999,058,484,699,
716,110,851,751,132,396,834,628,221,625,219,259,099,121,241,812,142,438,881,
140,990,543,737,777,511,766,485,104,067,856,944,180,527,306,183,401,767,494,
396,745,386,127,759,819,630,042,274,501,019,407,993,593,698,311,742,684,023,
013,390,685,899,846,843,204,085,156,206,357,759,873,475,419,669,314,628,991,
385,749,045,344,588,767,660,233,799,146,047,567,383,068,939,180,578,124,065,
516,453,768,430,743,977,658,231,884,199,709,795,921,125,884,654,229,439,802,
071,708,263,942,566,278,402,842,323,100,657,383,547,857,338,094,119,405,013,
083,686,447,760,497,594,802,646,845,203,137,232,828,751,465,334,450,153,267,
653,913,342,379,610,688,994,621,065,690,913,087,355,548,290,314,173,519,042,
804,670,153,567,879,672,679,551,171,301,157,602,713,643,809,395,062,108,132,
671,115,012,391,424,100,964,446,751,878,752,398,794,034,865,316,215,339,577,
049,004,550,525,247,822,959,295,065,940,361,385,736,759,764,369,484,736,705,
521,735,726,197,152,527,188,522,957,872,883,217,333,612,314,307,911,745,846,
112,617,816,072,088,360,453,982,084,629,394,470,868,519,256,097,395,547,012,
638,058,173,066,011,111,234,146,118,374,313,908,822,218,146,643,077,942,957,
092,816,500,066,159,668,094,948,411,766,133,212,952,957,309,322,829,792,977,
796,733,138,664,707,115,879,190,472,601,067,717,018,778,502,967,840,491,411,
124,357,757,895,735,246,180,338,984,455,336,914,187,661,663,789,925,401,030,
199,212,601,802,172,298,297,378,437,237,347,997,522,186,271,289,929,037,824,
720,294,695,728,413,305,989,880,303,758,255,205,065,912,774,994,146,777,776,
518,172,643,173,892,278,750,968,056,020,980,014,248,886,320,039,183,801,022,
259,262,252,390,447,166,161,618,218,916,027,811,974,872,845,156,254,402,814,
442,775,677,179,768,766,606,078,463,836,242,741,693,753,007,897,705,479,817,
494,054,791,205,712,043,832,297,229,886,828,626,999,092,489,500,701,037,101,
973,871,315,674,796,700,186,110,711,343,829,548,026,455,268,726,610,141,601,
550,279,235,713,783,936,109,674,249,809,535,822,835,983,043,772,755,868,717,
529,163,790,249,676,722,736,434,606,065,961,674,911,234,021,508,252,064,474,
753,789,924,102,706,911,097,727,236,424,159,483,267,140,126,660,847,108,665,
652,774,455,565,412,637,610,413,039,520,735,229,110,617,050,307,629,690,905,
330,605,868,941,964,866,255,189,817,179,971,135,679,029,106,404,047,737,138,
849,171,164,901,782,285,711,836,651,868,650,540,673,535,924,327,798,083,759,
351,149,842,897,935,865,882,757,204,462,535,074,352,783,885,242,969,111,020,
868,463,439,796,906,896,311,516,464,661,238,952,757,125,203,105,756,360,477,
894,156,274,871,298,030,074,915,247,233,086,145,460,967,260,415,947,715,140,
821,240,304,975,772,301,040,304,491,205,433,675,157,952,085,899,656,520,546,
851,310,957,511,968,209,871,831,650,625,586,041,076,684,618,326,847,616,168,
770,761,140,543,474,205,801,465,260,236,958,948,631,548,678,640,750,471,085,
323,290,254,770,690,603,014,524,442,224,973,651,354,479,769,078,181,474,543,
583,428,913,735,459,859,611,263,835,716,851,222,657,266,373,423,838,726,363,
364,316,022,032,554,085,762,936,798,391,354,211,407,793,320,167,329,003,884,
769,993,850,898,436,998,261,397,399,183,997,885,159,115,739,749,556,423,172,
863,706,405,741,731,845,252,747,162,342,289,831,637,984,039,464,748,586,215,
760,234,839,966,891,853,941,441,272,244,079,929,740,731,462,466,581,737,229,
764,691,401,978,974,977,083,166,918,395,909,196,369,939,061,428,266,523,139,
052,233,389,022,591,966,482,129,659,802,840,902,164,727,800,830,615,079,099,
687,676,992,536,893,113,700,569,467,729,705,460,867,468,645,271,790,322,244,
777,082,839,823,866,389,207,092,710,783,545,248,863,094,217,409,109,181,170,
991,038,075,003,085,421,506,853,624,311,179,614,747,517,255,481,838,682,099,
026,719,104,664,232,438,182,381,920,567,943,935,735,475,636,055,231,521,687,
003,385,268,733,314,532,785,537,685,013,573,541,365,658,693,395,954,301,591,
615,955,420,659,517,058,509,271,164,025,023,658,273,790,463,117,077,477,343,
621,076,547,673,817,860,758,483,095,406,483,924,491,178,353,191,088,947,673,
238,447,363,259,853,067,230,883,148,228,525,297,239,821,577,124,022,768,488,
263,300,301,425,863,610,554,777,380,335,725,360,252,319,368,276,007,933,532,
897,334,617,574,512,899,668,794,470,710,035,110,763,200,125,060,395,208,145,
932,009,133,075,010,867,940,924,496,211,677,569,283,270,575,523,078,983,322,
601,235,848,741,323,844,821,176,555,937,568,157,589,277,238,076,270,724,399,
944,114,603,080,679,920,413,887,333,219,641,240,937,664,374,319,234,159,934,
914,362,753,751,137,492,910,216,308,234,088,866,624,285,595,296,976,895,467,
555,919,392,677,688,805,632,725,731,470,305,134,254,743,374,036,982,518,262,
793,521,521,858,522,352,286,282,485,666,448,229,030,625,719,165,814,762,784,
668,816,540,541,228,450,708,269,421,963,191,345,634,363,258,935,445,116,339,
120,628,981,324,159,692,182,818,468,641,091,990,779,119,914,094,953,032,082,
927,160,863,772,637,496,990,094,978,162,169,700,392,564,130,480,541,266,226,
297,459,019,181,846,825,916,494,540,524,125,273,822,858,284,163,588,104,704,
012,943,283,966,291,874,641,658,251,680,560,570,468,889,589,169,055,725,516,
864,658,099,143,598,443,367,725,875,003,181,286,415,451,372,295,102,177,341,
123,571,309,698,846,160,468,955,287,355,637,341,364,827,431,919,416,644,975,
582,401,592,559,264,759,986,085,594,859,578,098,868,662,661,145,729,420,972,
162,782,954,964,146,519,430,213,970,820,014,130,149,957,044,127,112,314,322,
751,667,609,642,832,522,867,548,132,347,592,864,699,823,002,837,666,478,925,
448,006,139,905,242,638,431,381,011,855,248,442,648,539,877,101,433,992,426,
100,115,724,309,707,062,920,365,134,960,901,613,735,163,126,657,048,547,224,
588,055,146,014,039,307,033,304,871,473,721,333,609,672,283,836,975,998,935,
037,884,687,771,473,951,713,094,330,459,681,497,895,828,787,590,938,304,078,
025,257,983,262,206,162,817,992,123,838,171,866,620,672,846,490,665,132,227,
178,763,765,442,456,516,688,704,528,110,094,391,819,043,766,243,576,740,489,
947,851,122,172,188,565,965,119,824,863,062,092,780,299,089,254,307,098,369,
316,999,716,719,523,617,222,902,664,302,488,827,924,765,961,744,461,528,257,
893,054,360,535,670,705,304,396,630,070,566,015,125,162,656,234,584,359,951,
840,834,541,349,915,354,863,602,630,106,671,947,071,617,252,095,628,001,466,
335,149,012,680,632,858,684,359,887,453,833,785,007,207,458,866,791,252,286,
128,348,134,611,531,573,107,948,749,830,125,964,969,055,440,756,669,287,513,
647,690,958,879,905,631,747,136,732,148,994,855,516,933,857,987,190,739,425,
043,089,450,232,298,201,665,097,207,389,428,151,208,943,979,247,587,343,832,
448,680,466,433,887,142,533,322,507,741,017,627,296,487,680,180,677,076,912,
618,329,509,936,418,516,403,576,038,606,545,268,721,806,804,324,407,399,688,
382,275,741,628,961,846,157,341,696,104,390,622,319,589,929,433,606,380,410,
950,154,908,036,038,653,421,658,969,344,601,422,539,727,829,098,008,427,781,
277,612,293,082,083,093,924,018,810,169,713,714,037,193,540,695,580,253,772,
277,834,753,700,141,631,036,524,966,705,191,713,446,365,298,881,447,030,235,
427,654,877,254,914,438,983,999,217,807,217,422,546,360,918,636,174,178,226,
937,531,128,149,623,773,158,532,568,999,391,039,243,842,521,251,953,958,467,
883,511,297,726,842,473,801,317,852,009,512,310,261,507,606,900,676,514,730,
158,200,333,844,502,897,899,772,079,812,740,864,301,550,236,623,537,108,531,
584,399,213,294,603,589,461,199,132,549,073,530,871,421,602,849,601,707,965,
299,620,900,121,279,919,683,994,199,575,515,921,590,674,339,140,493,932,212,
608,243,534,530,129,738,938,001,325,018,955,762,694,361,170,918,821,237,313,
254,879,747,346,178,461,831,218,246,621,497,227,198,240,219,422,707,943,920,
605,048,265,611,755,964,281,738,488,846,613,255,914,878,302,312,832,710,418,
905,431,168,477,009,621,577,678,473,404,671,294,721,492,172,874,923,195,673,
441,758,738,854,581,160,558,073,083,258,457,675,022,516,120,744,438,619,096,
976,859,071,854,473,190,373,177,697,153,848,715,252,072,500,875,455,883,877,
288,456,211,975,864,306,230,632,685,790,888,528,192,284,400,555,739,215,342,
696,279,367,349,002,941,598,720,880,289,869,924,387,036,415,153,816,777,367,
546,359,967,155,987,197,312,025,113,055,519,939,750,636,583,732,042,998,363,
420,119,518,040,872,128,396,968,175,254,683,297,214,186,594,799,993,628,380,
095,066,193,145,590,512,317,760,411,576,684,737,447,235,729,275,257,802,831,
601,040,732,534,222,594,090,062,475,445,210,148,030,586,198,797,695,446,038,
255,400,050,054,537,996,411,757,979,095,950,652,575,400,304,254,478,488,188,
354,487,621,738,203,581,150,791,748,245,325,565,031,940,117,741,575,072,000,
538,431,660,820,667,166,684,971,806,222,909,973,710,328,434,731,490,436,949,
196,384,381,711,888,123,501,946,155,243,169,564,540,562,062,601,190,443,266,
271,423,194,227,388,218,117,723,372,390,735,437,555,059,360,919,262,357,537,
428,321,805,603,911,442,822,435,862,149,559,161,947,817,437,416,448,083,036,
478,276,930,965,794,745,686,243,176,743,169,954,860,707,077,477,274,732,493,
727,992,061,604,284,617,565,108,648,802,238,749,623,637,417,010,573,145,446,
878,594,036,863,482,299,311,141,954,908,292,331,375,369,161,160,453,415,069,
353,583,653,860,942,812,469,783,010,109,770,330,790,774,429,798,682,974,844,
837,169,346,177,177,280,465,778,623,917,710,127,387,496,812,441,731,046,660,
646,351,833,079,200,120,924,486,201,427,564,564,287,318,703,208,468,541,232,
306,101,799,176,504,441,798,470,595,221,323,610,612,796,267,763,637,047,813,
649,378,899,971,313,650,631,622,573,141,892,919,552,723,519,505,546,308,758,
025,827,346,784,831,731,686,323,112,400,965,248,251,824,546,866,470,430,118,
008,456,504,113,870,940,413,143,974,770,873,279,867,959,720,788,030,117,819,
249,436,241,949,953,244,869,784,437,742,888,317,192,273,725,914,815,041,903,
622,174,194,484,381,255,783,811,021,874,939,102,573,829,505,453,694,752,835,
336,909,362,102,788,796,794,961,366,699,293,875,725,730,357,610,121,970,446,
096,630,830,752,986,795,244,595,885,141,942,103,418,219,630,397,640,675,773,
771,817,641,732,868,674,201,627,987,885,177,724,471,640,394,106,891,032,047,
873,969,287,875,379,390,567,001,533,052,307,062,197,819,729,067,997,330,973,
124,513,123,031,203,625,843,776,896,579,256,094,114,473,859,825,721,291,682,
184,159,388,880,129,748,467,229,161,165,587,390,712,570,446,662,610,035,866,
811,713,435,894,332,688,276,776,973,295,020,316,197,446,698,038,990,680,942,
441,966,348,963,942,459,591,304,010,836,467,612,856,793,962,386,587,950,265,
745,214,271,177,207,365,211,388,825,772,568,662,871,023,694,869,693,508,400,
506,275,432,447,077,815,815,477,429,559,790,388,201,841,968,207,401,144,312,
397,924,836,020,746,141,264,718,745,734,038,399,316,586,695,992,040,587,392,
009,306,948,511,446,607,929,701,462,444,275,199,321,295,462,948,851,003,735,
075,902,063,648,879,807,339,290,636,949,036,996,674,874,935,922,882,224,127,
223,971,090,355,101,529,191,699,337,083,339,826,738,959,199,153,155,715,637,
898,610,941,021,146,434,193,326,096,642,818,190,266,446,474,342,180,447,397,
867,022,977,334,059,119,470,409,428,630,815,551,606,863,764,060,208,088,559,
388,836,937,649,026,236,573,510,567,363,868,736,099,058,512,122,860,721,751,
603,804,025,811,909,656,877,488,310,874,786,462,398,928,760,083,906,828,830,
843,796,333,756,569,982,390,450,444,004,095,477,925,558,705,505,517,133,349,
324,171,521,169,722,297,805,614,149,994,300,095,667,001,344,895,986,420,545,
248,027,576,540,603,280,483,855,295,204,195,919,341,388,207,024,104,970,657,
385,193,510,492,508,443,760,009,162,921,893,055,151,017,962,785,082,468,145,
889,202,919,132,388,832,385,184,711,576,845,447,543,834,208,947,989,794,044,
829,224,804,250,103,104,812,441,708,790,211,511,394,561,809,068,200,316,956,
215,354,175,521,077,590,382,847,733,062,525,264,424,559,561,975,967,930,574,
869,709,330,310,847,962,253,808,792,274,516,041,523,428,181,114,808,502,778,
139,158,870,373,757,370,195,189,132,528,348,393,335,001,477,982,139,679,389,
167,195,180,916,733,235,121,275,494,302,846,659,554,707,637,116,920,995,811,
694,717,268,929,097,913,040,419,011,903,001,761,736,302,932,162,479,284,222,
518,747,461,094,985,870,352,044,521,799,463,129,682,984,875,150,061,870,165,
124,508,748,656,340,773,290,335,282,835,187,383,057,511,606,561,772,069,970,
124,988,804,960,753,390,036,671,350,622,093,809,320,989,824,140,429,084,422,
114,487,637,625,886,375,098,770,742,753,332,131,077,359,525,993,521,560,052,
150,777,691,081,430,470,002,648,337,294,018,029,420,991,719,724,199,516,867,
486,968,935,658,390,000,691,334,198,040,680,896,654,799,026,640,068,990,309,
581,358,151,848,817,660,121,000,695,908,722,801,531,208,967,391,040,857,911,
353,753,214,387,023,366,756,357,634,189,042,379,557,106,147,653,057,027,244,
086,388,037,674,782,023,707,722,519,566,758,827,855,024,441,372,197,005,844,
692,342,099,670,808,857,276,166,433,774,508,366,226,414,278,611,655,203,668,
214,731,487,825,831,788,416,828,054,221,342,281,790,570,975,176,758,211,749,
496,589,657,790,420,696,446,783,021,644,374,804,436,827,892,890,783,418,744,
650,295,115,757,311,322,486,143,561,014,833,677,464,939,855,032,353,530,617,
143,972,101,066,046,206,465,373,027,586,404,735,694,439,012,341,202,126,330,
689,732,124,473,356,833,049,438,295,188,670,972,345,339,344,884,482,927,338,
135,427,625,887,837,433,917,635,328,723,081,563,800,934,318,493,563,129,812,
831,158,749,202,051,170,192,556,289,584,806,327,653,824,271,786,711,078,264,
816,050,958,474,298,710,927,537,160,427,487,234,229,309,752,515,501,685,492,
064,803,108,460,581,074,333,520,940,674,574,201,911,949,972,330,782,610,810,
886,797,890,912,450,002,058,777,225,561,275,946,989,090,638,331,996,171,314,
141,114,039,137,710,577,163,540,165,506,311,716,727,850,754,810,000,168,658,
600,136,218,959,041,284,438,664,230,843,479,118,729,383,139,091,800,744,598,
005,219,686,027,151,070,856,175,853,562,528,097,104,694,515,266,588,858,033,
062,180,336,007,284,568,357,155,509,734,386,505,404,164,696,213,503,626,403,
234,529,067,287,392,681,296,448,295,711,193,958,608,512,951,712,031,946,011,
297,883,088,641,920,481,114,202,296,475,606,085,362,395,055,563,590,135,375,
601,414,406,613,562,416,489,877,512,579,537,811,230,214,948,516,413,749,113,
500,302,329,143,510,477,549,687,684,488,576,584,427,216,219,320,716,523,841,
225,190,448,250,496,442,619,771,536,699,408,437,101,476,872,155,535,682,422,
633,009,236,680,833,736,032,098,310,054,793,516,839,262,427,167,216,378,654,
651,290,108,017,776,952,157,187,430,517,077,264,701,259,179,799,448,432,746,
368,290,095,311,770,062,249,887,697,491,075,475,016,974,129,956,289,651,174,
101,654,756,852,061,961,373,363,899,131,343,710,165,446,260,005,319,691,835,
599,971,009,905,930,372,731,107,960,622,937,867,107,879,655,499,586,989,524,
713,851,200,350,457,049,313,985,850,153,090,894,698,855,299,644,767,907,506,
132,995,167,131,759,306,606,424,611,213,269,894,357,573,483,944,562,623,727,
921,329,429,651,330,978,741,187,943,461,453,346,735,921,614,432,872,336,577,
665,328,815,569,279,892,786,240,867,554,162,614,142,500,077,289,072,736,364,
150,396,513,375,739,352,954,186,416,092,741,102,053,609,591,460,835,233,983,
958,490,022,529,454,591,207,259,090,221,547,121,111,911,822,935,752,843,287,
950,523,943,835,520,078,655,581,399,028,169,060,077,976,001,610,729,638,158,
186,669,808,995,373,287,985,261,083,082,246,796,622,391,279,906,167,901,754,
795,756,172,172,863,322,135,390,479,014,122,620,227,197,999,433,983,155,727,
015,836,207,066,894,543,210,058,040,450,438,697,614,144,032,309,461,995,746,
865,173,582,890,533,043,382,322,395,193,659,577,310,103,651,375,425,029,409,
471,417,184,042,603,564,704,482,985,501,521,630,133,002,635,504,564,743,813,
607,668,861,427,294,731,870,157,713,758,310,164,927,668,102,141,884,683,823,
659,744,089,372,592,158,000,271,444,830,931,476,172,705,612,778,008,149,008,
342,668,453,174,063,627,130,380,942,895,646,996,246,485,156,411,696,232,744,
968,614,206,090,322,476,360,331,774,644,308,483,702,649,879,889,505,273,573,
338,455,902,829,163,286,817,712,319,005,974,546,707,266,665,776,839,680,439,
107,224,450,259,394,659,201,348,916,448,419,176,562,909,551,581,025,117,048,
028,006,449,012,113,902,270,527,954,987,772,890,079,681,552,092,315,204,087,
823,711,752,020,868,054,071,616,641,993,838,436,923,497,484,458,543,579,080,
722,742,005,496,615,040,925,691,117,588,271,142,163,020,128,916,147,984,161,
718,405,932,190,656,795,591,136,917,963,564,523,980,643,236,229,887,608,830,
515,459,529,178,711,283,886,217,658,422,103,444,393,995,039,478,409,016,869,
439,928,929,617,305,901,729,228,752,236,442,945,641,601,092,941,176,043,724,
756,482,490,402,684,985,085,431,834,109,660,293,850,373,037,202,005,284,458,
241,326,858,352,962,346,109,040,452,617,357,392,697,502,811,137,918,944,848,
138,226,699,774,504,007,417,605,630,004,327,364,226,577,976,128,496,574,863,
801,592,612,380,449,620,330,384,460,608,109,507,756,554,562,090,464,301,808,
728,153,536,879,812,501,003,298,487,788,529,298,077,157,527,969,949,180,906,
288,615,222,870,689,018,839,519,484,885,428,215,908,261,171,873,048,574,181,
014,878,374,490,380,742,001,653,484,506,144,366,750,736,664,072,544,430,406,
161,918,835,480,590,722,153,605,689,206,710,182,509,979,456,379,627,983,293,
154,305,925,190,283,258,584,035,231,405,479,735,414,322,117,660,431,980,252,
543,072,834,951,909,533,901,964,437,267,262,289,846,508,307,878,053,327,065,
018,261,563,080,522,644,949,944,632,351,173,299,574,773,812,167,852,956,940,
052,161,656,751,342,000,895,294,795,704,725,579,837,576,213,471,295,642,420,
932,265,853,804,788,550,403,908,106,123,399,802,953,706,093,269,629,961,174,
950,825,656,097,172,298,564,280,478,683,023,946,169,046,649,741,299,069,598,
780,455,854,467,754,178,206,336,675,687,274,720,952,407,992,199,492,299,900,
019,524,709,784,876,956,173,528,802,380,484,678,922,471,089,296,762,598,049,
248,828,937,600,651,178,037,857,975,197,348,296,336,789,933,686,059,091,260,
822,888,594,439,507,994,887,212,213,144,882,705,304,280,417,314,949,317,228,
329,183,900,278,523,843,261,950,517,487,775,975,763,690,451,659,845,920,861,
632,062,467,163,502,351,267,036,070,419,449,323,587,500,868,177,817,171,039,
214,587,092,366,898,699,426,669,498,557,715,398,705,799,579,220,166,169,653,
937,636,475,541,299,046,086,256,768,989,339,567,828,510,382,647,872,865,731,
630,836,594,802,111,965,764,501,607,489,143,360,325,326,639,428,614,411,900,
043,344,536,088,769,854,286,717,684,853,656,303,891,885,949,774,660,121,234,
471,706,609,940,644,802,099,181,837,513,805,313,756,824,672,244,766,635,417,
969,504,638,389,516,089,661,831,337,285,401,370,910,951,394,466,474,935,572,
107,695,579,483,915,086,993,489,649,453,664,493,276,947,893,533,579,790,607,
004,098,883,876,500,959,797,164,661,875,757,956,540,186,082,330,145,138,101,
240,972,387,486,123,288,790,272,420,758,828,899,987,705,363,707,073,899,562,
787,493,522,705,139,140,917,158,360,534,989,301,758,087,750,631,111,458,043,
571,834,818,734,367,314,655,570,169,394,092,422,387,976,685,743,819,690,051,
223,961,129,726,352,677,615,592,556,905,731,703,127,927,996,759,072,906,761,
922,463,378,106,008,500,965,777,670,445,947,243,570,803,715,439,951,542,387,
191,764,604,574,522,967,161,083,277,662,238,942,534,425,268,942,402,640,018,
803,697,790,521,909,739,233,488,784,350,642,945,844,902,399,073,229,667,247,
676,360,725,094,371,250,832,561,155,821,846,367,421,727,298,589,459,366,329,
663,197,597,940,554,655,826,629,660,948,170,089,637,159,480,386,638,661,522,
082,339,330,799,593,269,635,632,542,777,723,802,689,771,574,692,823,392,072,
047,754,426,957,145,931,856,866,994,301,833,083,327,800,022,560,577,649,892,
488,971,993,172,722,726,671,956,652,607,622,596,145,583,787,564,151,018,117,
075,362,780,852,520,790,257,680,295,000,631,651,495,162,015,019,430,192,784,
567,057,974,454,928,403,892,968,944,631,112,527,636,658,124,492,412,581,750,
221,483,316,696,838,784,156,860,665,457,732,079,031,664,048,020,474,647,213,
640,533,401,460,790,946,982,202,836,592,224,236,787,932,629,051,795,879,985,
306,592,457,455,481,786,309,774,397,615,390,302,527,650,981,211,649,048,355,
965,504,196,707,994,287,620,675,972,306,980,865,474,101,774,069,828,354,032,
718,620,862,605,589,282,578,588,566,029,524,498,160,690,371,482,754,468,414,
460,884,723,570,643,310,560,033,688,292,846,842,547,303,377,984,631,689,199,
077,037,722,318,143,039,247,797,694,052,764,451,181,307,264,556,297,220,089,
494,539,502,144,220,380,104,148,656,547,457,849,492,490,807,252,000,089,413,
803,448,246,052,783,560,101,463,402,349,004,247,340,119,725,957,141,061,437,
475,880,053,573,419,016,198,088,164,265,053,425,007,258,950,941,484,762,938,
396,089,756,847,885,306,622,891,875,893,655,406,500,204,336,052,006,942,318,
531,627,168,653,223,793,891,818,862,911,293,308,762,385,809,534,119,984,007,
055,891,575,733,502,966,620,859,726,566,541,889,479,414,369,736,330,469,481,
416,587,140,874,553,613,868,938,005,548,019,060,163,346,417,738,243,097,764,
181,373,468,747,561,101,913,231,519,306,837,844,612,216,714,638,441,471,671,
244,220,591,083,079,754,881,041,961,586,995,832,834,028,906,203,671,641,852,
413,866,988,745,722,003,270,103,644,112,868,245,351,328,526,076,588,274,172,
154,678,258,854,458,660,839,799,040,638,986,527,208,561,765,983,216,038,298,
176,173,237,849,779,644,127,952,895,913,688,877,900,803,585,640,653,841,309,
345,343,175,250,037,495,028,077,505,268,223,496,387,218,861,075,988,602,992,
692,448,052,601,945,928,616,842,502,032,665,591,872,112,802,485,641,201,762,
297,399,778,289,869,156,929,295,197,147,563,871,198,839,250,745,694,548,361,
679,140,999,375,213,694,320,515,625,826,109,306,225,430,887,630,619,084,414,
442,782,153,315,467,781,598,924,748,338,944,546,482,259,725,236,510,077,091,
037,473,451,300,525,013,364,264,701,487,994,018,983,814,497,038,713,553,838,
636,708,805,365,261,178,607,840,919,433,595,271,682,459,050,209,008,195,976,
012,807,747,032,479,260,559,610,012,225,163,489,942,570,828,915,028,467,350,
890,229,725,727,512,463,846,557,757,823,685,869,534,099,469,913,568,241,018,
611,579,036,357,337,730,373,478,004,510,675,896,935,214,436,758,416,329,944,
869,094,525,344,164,752,701,991,819,293,006,205,777,393,049,735,715,312,858,
576,348,272,945,691,125,039,668,218,629,356,246,110,101,012,418,923,461,612,
125,241,039,160,666,229,314,073,118,949,883,595,942,016,834,894,085,160,630,
106,416,821,857,832,031,331,417,011,851,709,307,106,585,094,624,841,735,489,
275,201,875,728,381,460,412,915,324,999,698,398,261,011,969,468,732,173,128,
087,972,595,791,219,000,963,578,637,672,529,517,511,174,680,794,386,026,863,
340,389,059,290,225,331,260,485,523,627,067,525,938,531,627,363,492,001,143,
050,292,383,692,112,554,307,108,604,685,489,227,705,822,298,842,047,785,691,
143,550,608,551,766,851,606,631,892,008,108,769,040,420,475,697,919,949,619,
868,877,157,660,956,777,724,888,562,166,031,262,186,987,503,288,086,558,363,
996,958,054,633,353,747,487,311,460,719,113,985,358,673,904,895,823,323,934,
995,067,037,785,228,986,037,419,798,921,801,758,651,538,699,998,531,081,478,
562,470,142,009,912,361,573,353,622,743,169,281,444,615,843,055,786,069,587,
676,276,991,826,600,062,705,605,666,345,753,609,370,356,351,676,215,460,073,
287,856,907,169,894,303,381,910,524,845,994,651,883,809,058,391,232,543,446,
649,036,567,719,186,244,527,196,036,315,903,569,953,904,480,918,246,515,929,
777,211,225,418,588,825,400,753,383,902,923,759,434,658,681,354,713,267,410,
531,578,945,640,085,486,871,939,146,971,932,027,711,985,303,632,407,988,913,
286,719,869,124,228,463,825,473,393,862,192,292,456,415,670,730,593,105,517,
010,790,082,261,523,779,076,640,008,703,620,337,305,168,714,395,445,559,909,
984,035,294,584,650,352,320,676,530,405,763,446,493,751,813,900,190,242,937,
966,086,618,967,413,908,124,222,326,637,055,137,678,775,083,952,678,113,067,
557,371,891,611,182,404,406,593,849,167,537,226,346,310,216,485,720,318,185,
096,816,422,851,408,952,208,951,795,014,515,492,806,552,130,721,548,061,065,
029,591,718,854,672,982,634,267,771,806,536,851,366,656,993,635,793,071,988,
846,078,134,316,694,164,405,104,622,555,450,732,161,051,242,505,458,256,783,
650,271,036,972,054,821,931,899,819,300,030,606,905,232,907,205,234,504,669,
670,093,099,222,102,175,944,658,051,359,943,084,950,081,307,240,127,711,554,
175,897,352,009,108,080,945,677,594,642,097,619,368,950,801,960,682,980,243,
197,568,158,036,234,199,175,772,943,290,215,688,523,026,280,837,103,765,819,
727,255,065,169,739,014,431,018,733,671,867,127,421,318,026,542,047,723,485,
521,307,885,284,540,519,621,092,895,379,493,831,045,462,600,177,672,967,438,
053,942,511,326,132,425,532,995,987,047,983,547,536,561,063,020,038,583,239,
297,304,238,135,524,162,323,897,897,615,687,552,671,245,683,605,208,230,862,
160,250,385,118,239,427,999,927,173,493,261,897,081,097,497,127,749,438,958,
976,053,288,548,661,318,668,515,965,452,122,325,440,897,747,405,625,884,294,
409,973,967,106,217,146,307,370,531,382,922,162,437,616,717,732,689,782,457,
021,645,613,439,506,097,026,208,427,500,322,324,661,936,660,732,385,926,072,
729,798,702,905,078,423,779,053,478,652,099,516,783,195,686,599,082,537,820,
279,384,464,434,693,841,390,307,482,125,540,565,718,492,892,360,041,584,205,
067,069,263,894,831,805,886,373,355,669,430,724,574,291,613,651,562,096,418,
843,593,826,461,130,906,249,553,215,086,010,837,534,919,995,042,075,628,044,
381,563,572,445,136,225,594,700,315,581,228,644,544,377,929,323,047,218,509,
819,322,717,823,038,389,780,768,821,404,069,132,461,935,272,804,994,040,718,
862,247,927,681,996,008,927,366,443,696,363,162,866,119,355,944,736,871,839,
331,720,655,742,720,423,991,720,524,267,661,385,288,554,139,549,583,183,522,
370,737,492,488,587,131,708,554,876,718,361,316,022,936,347,927,769,777,776,
206,439,409,342,458,249,074,444,472,013,061,973,472,028,302,521,877,348,362,
459,637,386,209,961,685,326,846,362,975,465,347,839,233,788,690,188,435,683,
703,489,172,961,934,181,586,955,173,853,000,409,454,833,186,664,226,071,623,
234,313,695,459,437,778,916,542,600,839,756,071,223,024,833,888,457,864,754,
341,666,441,390,321,163,432,446,101,581,212,863,082,060,844,310,421,333,039,
165,772,394,998,833,423,187,220,597,829,501,157,497,040,732,791,741,585,600,
489,507,150,670,976,384,446,413,820,904,122,635,443,833,651,053,320,707,276,
823,936,858,094,300,185,916,472,061,062,889,435,485,384,127,802,673,351,913,
007,735,451,522,474,103,610,231,811,268,059,664,736,452,968,507,533,266,449,
051,401,522,120,000,553,154,911,070,736,595,085,783,818,329,420,844,880,189,
191,994,638,273,973,516,565,561,640,668,349,468,166,094,968,825,788,905,791,
189,420,052,101,619,229,283,991,023,945,076,018,773,301,927,646,855,141,486,
336,822,045,848,815,845,562,185,169,897,084,802,577,303,724,266,908,813,623,
720,437,492,938,613,220,222,189,897,964,090,841,818,960,026,145,215,274,969,
416,961,279,021,926,743,483,356,692,636,950,909,862,153,876,589,419,353,763,
834,606,684,470,632,373,923,135,036,672,771,441,176,639,945,148,844,405,388,
787,805,895,511,263,993,962,170,136,618,890,593,607,032,682,893,059,191,751,
571,975,537,140,398,997,626,722,399,390,034,503,965,023,994,144,858,919,222,
660,418,028,660,938,052,210,387,567,260,294,771,358,042,012,113,879,409,045,
560,336,679,243,333,311,193,683,643,012,414,495,406,280,531,448,907,406,724,
899,038,959,497,463,893,398,022,300,449,178,512,579,578,049,617,502,729,624,
379,055,751,032,711,050,290,514,564,187,741,930,891,848,209,425,517,782,038,
289,447,634,458,388,636,910,033,928,118,653,102,496,100,299,287,696,091,717,
273,075,922,819,728,318,097,391,674,306,289,551,390,767,685,516,020,978,134,
740,752,817,030,563,685,860,208,903,674,640,108,750,416,525,860,657,937,240,
082,036,456,021,273,064,361,566,495,135,398,294,931,921,208,758,178,451,270,
715,303,017,244,420,220,459,362,305,098,518,785,262,418,068,819,617,376,779,
937,592,056,154,037,307,838,486,329,879,813,310,543,344,319,935,497,896,076,
391,207,401,987,520,773,127,902,391,763,706,956,985,627,671,679,459,364,759,
520,772,928,641,078,216,152,589,731,087,962,561,993,327,932,886,634,877,107,
418,564,510,271,879,486,191,344,946,701,550,937,980,767,314,276,950,880,872,
353,011,457,255,036,944,363,367,830,475,506,287,030,014,697,513,705,653,314,
031,119,589,758,873,075,767,682,073,877,208,180,644,051,162,983,467,422,834,
885,009,472,786,775,379,965,511,002,207,212,724,989,880,861,268,411,946,716,
536,571,075,679,250,253,909,024,244,832,987,190,527,870,792,088,682,891,191,
144,587,851,239,846,592,350,205,807,609,141,025,174,526,105,698,000,466,647,
683,428,932,381,297,231,083,016,287,116,443,019,231,316,256,719,673,043,904,
292,421,222,616,341,798,480,014,225,200,340,328,733,270,508,593,743,962,412,
854,560,853,397,160,760,029,519,198,999,110,114,730,200,619,383,907,169,910,
349,163,187,711,254,829,480,906,074,017,748,742,244,225,388,592,621,420,678,
399,063,776,069,203,211,838,893,101,522,460,028,128,810,461,866,450,565,866,
081,445,690,808,817,404,313,827,352,285,043,151,054,594,788,285,501,826,469,
291,934,108,193,259,149,778,366,619,028,510,065,306,660,162,212,181,917,836,
263,556,498,944,498,830,837,480,549,906,296,598,433,697,822,755,016,042,535,
052,703,033,604,284,537,528,398,078,794,956,022,417,218,770,922,043,489,119,
849,993,928,036,224,133,961,385,870,656,433,379,495,065,764,536,098,655,390,
417,693,334,921,926,000,340,235,581,217,774,907,972,585,209,144,048,269,245,
789,228,597,999,490,597,171,132,365,732,328,335,812,913,684,663,272,443,423,
035,301,004,993,829,987,567,996,860,414,984,568,652,305,213,287,070,920,991,
391,671,358,873,377,599,778,887,599,260,140,502,287,861,871,300,967,795,132,
467,824,602,157,468,069,447,804,424,881,315,983,048,992,595,852,346,605,512,
244,583,040,021,087,490,830,186,282,876,585,428,285,723,659,297,823,434,449,
104,387,492,099,415,244,409,700,782,385,620,948,035,454,977,080,959,969,931,
709,735,124,308,083,983,709,205,188,730,580,595,903,685,336,808,503,726,196,
435,231,265,108,692,398,216,255,910,414,575,328,628,032,781,451,416,613,194,
367,005,217,215,085,358,966,986,610,256,778,715,887,778,053,177,990,130,576,
308,215,742,698,637,842,969,952,171,901,329,114,760,472,933,045,447,804,652,
454,304,118,598,087,500,745,812,347,687,615,380,634,552,238,456,801,159,761,
703,320,887,153,466,890,184,822,421,727,186,794,936,559,015,368,429,855,930,
974,137,526,746,997,579,357,370,551,241,732,797,302,426,725,139,463,382,845,
270,512,160,601,159,957,060,061,808,356,211,351,019,687,695,065,905,132,742,
315,564,173,278,265,166,507,940,603,876,995,900,622,949,137,504,254,549,418,
098,695,509,986,792,596,721,876,728,996,018,138,650,471,145,723,885,060,983,
799,875,700,615,973,749,469,857,968,762,107,736,398,883,129,649,330,735,472,
358,458,529,027,473,614,204,494,005,779,219,953,408,756,552,602,995,806,904,
504,802,449,039,493,783,876,478,338,395,425,276,511,350,696,324,380,567,408,
950,201,004,235,459,241,037,252,916,801,905,006,381,362,159,235,114,042,367,
111,833,309,401,558,738,534,578,328,798,320,330,417,015,068,304,297,865,794,
313,330,051,294,087,356,628,482,208,353,356,588,632,381,545,782,308,860,844,
425,934,460,325,905,752,428,856,956,733,088,408,559,044,391,447,439,850,460,
945,888,789,676,566,436,280,900,061,017,980,631,946,790,791,677,049,633,616,
963,786,755,274,347,527,956,081,281,798,403,723,377,299,147,826,164,553,297,
508,262,881,371,911,442,303,629,662,317,239,460,326,578,099,080,821,483,760,
428,993,146,872,549,014,406,878,169,664,224,679,438,684,222,918,807,968,546,
483,073,672,687,925,696,797,931,667,146,038,422,316,321,567,984,896,244,573,
755,040,369,154,503,489,345,785,780,513,027,960,776,679,204,847,091,893,863,
132,471,903,127,751,014,523,519,879,297,978,689,795,717,027,906,969,679,888,
715,820,801,514,890,537,208,004,802,433,426,902,958,273,491,776,201,069,508,
749,514,166,117,801,069,728,654,915,436,647,153,976,965,554,274,815,143,669,
380,423,656,163,929,039,234,769,127,775,559,895,870,248,719,912,358,934,946,
944,088,508,767,340,729,359,824,624,545,714,866,503,523,829,745,106,224,533,
987,397,728,475,702,727,991,745,457,756,734,435,196,252,894,435,015,873,446,
114,935,626,403,871,074,047,787,432,981,170,307,718,408,988,477,679,423,014,
894,453,019,206,847,328,039,172,307,269,313,436,064,769,015,263,163,322,241,
982,626,490,423,637,958,008,992,033,043,051,169,322,021,090,415,976,907,870,
929,401,171,521,387,981,643,968,341,047,938,167,338,266,018,497,507,121,598,
842,797,084,396,564,066,881,807,990,814,977,857,192,109,421,415,212,177,663,
066,960,899,625,202,873,778,509,037,499,674,311,622,773,594,339,765,120,612,
922,441,533,147,410,911,847,640,381,114,220,461,659,428,960,693,929,535,339,
491,835,502,381,858,514,408,771,064,967,039,034,326,470,788,334,052,599,062,
081,308,436,533,363,193,295,922,058,851,632,466,695,534,010,822,291,825,038,
574,648,619,358,158,122,610,519,997,335,282,298,224,820,860,707,816,073,930,
675,978,438,385,805,122,145,556,647,464,436,992,308,665,927,052,672,042,653,
785,349,624,514,041,465,788,435,099,828,965,169,433,728,310,811,436,697,199,
647,973,750,619,355,665,015,694,275,164,464,889,397,998,263,725,625,485,927,
211,149,369,661,348,772,192,347,609,322,858,732,311,536,351,365,011,556,013,
461,078,938,248,227,429,990,708,604,566,354,109,971,201,854,098,345,859,778,
184,668,680,556,814,249,270,894,740,242,181,988,951,432,990,069,763,363,732,
680,001,498,554,980,780,152,066,618,580,907,617,023,498,308,105,837,086,929,
950,306,981,241,609,550,201,671,630,902,572,636,374,310,776,355,275,825,357,
207,243,198,024,469,015,754,515,337,391,930,966,221,503,666,438,893,030,710,
131,181,341,958,230,239,825,834,271,534,735,695,578,890,819,672,056,527,420,
508,768,324,018,424,198,005,275,120,623,731,465,708,332,336,432,462,661,195,
721,943,224,586,527,014,528,340,037,776,331,451,202,434,641,525,401,524,433,
181,629,217,230,103,166,327,635,466,379,812,644,747,267,991,397,231,286,487,
887,911,957,077,679,300,449,665,798,113,327,758,040,822,480,573,232,848,944,
276,029,342,225,021,643,947,748,267,664,141,424,724,958,835,413,021,753,171,
566,335,265,752,479,825,874,753,652,583,409,717,849,947,868,160,434,275,436,
262,413,667,385,771,263,347,084,675,534,179,511,559,540,960,412,046,754,098,
012,541,800,079,574,651,131,571,548,314,763,563,869,180,037,611,610,707,046,
878,409,626,285,480,551,535,159,433,461,063,488,361,081,080,358,394,930,856,
226,302,048,683,422,591,885,328,448,066,751,075,412,448,723,973,896,566,533,
364,273,571,829,353,111,543,576,255,537,428,610,726,718,413,939,962,060,281,
261,151,456,956,798,096,799,330,629,393,820,795,101,447,111,373,294,159,613,
132,069,016,346,666,670,758,286,101,984,179,085,916,010,303,648,730,337,446,
544,808,227,017,836,439,029,695,849,574,925,958,142,787,752,509,058,253,409,
601,209,655,807,986,688,752,475,569,444,390,290,447,955,638,350,082,483,763,
983,907,215,882,650,493,507,385,566,981,413,736,225,319,102,518,227,108,433,
678,585,952,941,372,386,851,922,735,404,495,946,371,247,220,843,568,980,585,
136,455,901,270,229,228,605,100,643,114,627,892,577,551,190,156,845,629,784,
648,760,131,936,007,686,754,006,934,043,730,366,862,989,411,532,811,474,566,
514,666,275,987,641,622,525,632,456,249,690,837,910,686,372,385,381,581,475,
866,078,128,397,333,082,663,135,146,625,972,736,245,372,312,480,919,583,739,
337,512,251,778,292,703,781,385,400,050,769,834,728,206,079,464,465,399,990,
856,656,203,603,387,451,265,856,077,410,882,672,018,534,575,234,317,014,694,
163,604,069,144,484,547,556,814,461,761,649,122,424,057,397,071,565,037,436,
009,402,077,991,605,394,465,662,444,349,882,116,118,291,337,344,100,179,307,
648,933,133,200,299,618,348,145,931,442,356,244,547,003,976,523,672,680,029,
192,558,077,992,797,586,122,702,302,176,447,391,383,130,041,306,029,823,733,
590,543,442,245,734,023,580,816,461,247,830,861,565,974,388,755,841,813,551,
328,023,958,903,112,043,061,989,063,331,529,707,047,721,197,336,082,694,529,
095,941,602,405,352,806,808,775,184,009,795,247,790,188,120,072,412,765,876,
935,370,859,010,002,315,240,194,883,726,538,758,672,826,595,977,056,789,053,
048,506,172,422,669,988,461,542,531,601,691,381,675,476,211,261,558,546,362,
091,562,549,562,038,105,063,384,139,019,378,727,645,536,960,848,650,790,055,
340,871,680,182,934,314,490,456,925,552,388,858,983,987,778,459,537,114,518,
219,469,812,692,663,796,988,155,871,865,571,608,905,955,474,033,313,487,899,
454,975,355,694,367,576,380,031,727,963,594,942,677,703,820,742,311,380,847,
093,490,332,986,693,072,184,506,708,082,044,962,126,771,778,961,145,871,106,
390,408,360,598,306,051,826,467,350,552,989,866,561,461,968,762,784,302,891,
771,312,704,833,299,391,262,502,754,182,935,131,045,614,231,428,196,113,987,
567,776,720,121,625,088,128,556,498,343,704,289,673,816,227,374,932,746,393,
386,122,005,141,268,551,642,895,365,726,492,642,157,334,304,619,108,068,808,
813,154,310,887,835,932,125,905,712,546,029,084,881,502,652,999,232,603,979,
368,449,318,808,739,581,887,919,186,269,764,443,371,842,505,464,125,768,622,
019,017,151,707,966,803,550,814,793,719,954,860,140,239,770,055,635,609,667,
521,558,999,823,012,277,127,109,805,912,320,659,232,015,676,758,920,598,882,
188,868,827,353,371,235,734,095,818,240,444,157,147,675,545,394,124,802,975,
432,757,595,036,833,980,676,125,714,297,218,714,199,923,450,848,454,865,827,
496,792,921,766,303,521,586,793,302,087,979,679,055,202,303,017,194,242,822,
633,766,744,003,866,237,961,248,085,772,317,098,669,430,831,562,967,317,023,
043,356,866,316,910,000,870,433,703,476,751,174,694,910,831,383,067,460,119,
286,603,578,691,023,073,864,253,603,955,924,963,780,146,012,670,408,603,970,
335,971,584,994,115,355,617,962,104,122,319,692,180,367,910,748,258,484,609,
472,417,348,479,985,462,348,694,123,298,848,162,894,814,873,730,440,817,783,
117,447,939,836,296,546,991,737,862,028,642,276,648,691,109,838,019,197,924,
956,761,138,324,809,472,033,394,464,170,362,493,405,408,661,956,943,811,620,
102,564,052,483,752,829,867,203,927,318,464,078,871,184,660,852,751,558,810,
320,961,143,738,325,773,967,016,240,428,509,339,486,061,775,177,378,438,635,
437,453,646,235,579,569,397,117,974,209,340,710,500,964,428,146,325,631,436,
596,181,498,242,230,276,140,901,823,955,955,201,085,322,345,199,586,782,940,
611,869,425,589,336,518,457,028,657,785,887,692,187,958,767,250,602,108,894,
397,727,210,901,022,997,243,030,203,232,348,500,122,221,599,870,452,547,045,
348,629,422,005,033,710,694,277,533,670,183,530,064,112,472,416,273,586,866,
157,409,440,371,955,445,485,897,617,353,695,262,478,161,738,449,847,416,629,
767,832,872,284,974,252,459,835,123,107,358,731,844,737,229,352,079,675,024,
129,301,522,687,637,129,279,677,081,033,164,076,427,116,619,070,585,093,475,
780,944,064,542,046,131,152,675,410,909,172,068,121,557,528,015,703,587,335,
976,676,071,039,302,022,530,240,331,625,965,351,161,091,157,582,139,547,503,
659,078,980,190,946,693,487,666,114,171,958,934,862,837,109,060,594,253,684,
734,869,163,324,020,850,151,158,698,221,323,854,423,327,154,786,821,371,268,
140,808,765,976,317,299,482,539,785,650,933,363,823,926,688,549,194,015,067,
869,326,219,669,195,864,366,913,673,289,570,283,412,034,533,882,136,442,924,
093,398,897,396,636,577,222,200,827,809,692,228,324,452,750,407,573,439,630,
827,189,190,817,794,419,867,912,446,495,735,068,874,977,906,018,983,442,277,
994,356,019,890,174,744,649,678,956,652,920,772,270,693,235,768,831,508,638,
833,467,986,522,561,875,209,549,257,516,540,374,384,428,003,677,283,172,203,
083,844,804,898,020,486,456,675,097,382,728,216,545,044,606,442,672,752,832,
851,403,666,955,510,490,345,242,122,942,071,774,148,306,736,694,563,144,954,
190,155,554,714,181,740,014,525,344,232,588,580,816,498,485,476,216,462,315,
376,044,739,973,953,094,102,176,969,062,922,750,394,075,184,526,420,249,696,
806,387,253,935,037,042,595,219,209,785,811,367,882,037,735,990,343,867,635,
189,355,322,586,233,684,356,191,160,493,394,781,460,969,509,391,518,116,813,
051,206,099,172,424,402,907,701,480,432,867,498,511,335,945,867,374,273,186,
551,084,117,825,023,056,801,899,811,114,741,438,042,423,374,439,553,137,501,
661,375,141,430,663,285,114,712,903,690,262,500,379,118,702,674,540,417,699,
736,581,042,108,196,218,311,246,982,498,684,973,509,636,292,463,789,398,434,
019,732,344,853,292,820,905,338,001,048,422,686,558,097,583,496,716,110,237,
211,199,112,596,435,195,224,971,595,473,253,176,315,746,368,034,381,532,343,
574,232,946,296,108,335,504,531,599,234,889,918,780,099,892,945,333,190,803,
711,966,384,822,519,538,185,772,611,210,136,204,050,890,007,655,094,821,371,
078,036,211,700,266,130,012,384,079,240,198,170,056,347,250,080,975,738,057,
581,813,077,419,285,621,697,314,042,579,730,559,443,112,206,589,653,921,673,
182,911,417,956,728,448,312,972,727,217,529,902,787,333,375,033,110,468,147,
857,188,252,873,153,655,973,187,017,068,134,503,972,578,409,844,274,068,179,
397,871,916,185,895,363,220,809,824,467,628,761,161,532,129,067,451,134,158,
915,392,298,156,920,789,969,865,125,661,726,234,318,979,284,125,522,497,360,
356,501,383,498,109,552,014,562,881,219,607,492,817,112,614,291,091,056,207,
917,842,194,951,468,075,376,199,568,178,164,720,212,037,776,843,878,686,319,
062,105,415,317,110,847,032,950,014,036,852,303,674,525,091,002,298,049,687,
388,609,459,651,100,189,455,831,382,642,105,229,540,384,468,575,538,427,595,
087,344,612,644,047,454,754,324,336,475,178,974,786,867,356,772,193,396,640,
062,942,567,768,650,150,710,105,363,432,162,549,279,394,783,025,071,175,951,
111,371,890,951,116,044,877,503,603,838,955,535,615,005,050,661,253,319,155,
053,968,000,053,653,319,943,359,235,728,916,203,731,237,710,333,576,527,357,
194,878,865,934,376,693,408,322,791,355,392,982,595,885,832,985,046,027,521,
144,568,976,219,814,759,743,717,808,019,961,324,870,620,907,910,013,950,435,
788,573,531,691,667,086,971,336,374,018,548,294,948,760,060,637,482,022,425,
012,024,144,706,022,180,532,260,511,808,704,308,642,613,976,184,895,636,861,
222,317,533,153,664,026,145,036,322,972,458,930,968,262,287,564,563,610,817,
986,542,312,090,269,799,683,558,299,198,130,910,898,934,284,696,308,213,017,
326,712,340,298,519,125,857,838,138,431,692,131,631,285,148,141,896,667,235,
644,716,143,584,853,412,345,539,339,570,304,573,960,976,808,943,318,587,304,
492,285,363,687,077,359,680,687,728,064,584,992,255,346,679,536,501,344,147,
166,438,784,601,093,221,337,058,221,117,792,615,947,846,501,891,255,757,247,
700,560,795,579,047,665,983,486,262,403,313,822,084,644,867,770,716,009,537,
284,619,896,485,748,505,501,508,593,974,776,766,990,995,968,189,578,923,885,
357,835,141,035,904,680,873,021,378,225,907,424,447,263,043,521,622,447,380,
731,909,167,220,988,811,481,822,298,626,459,236,161,971,168,476,526,915,661,
551,003,604,146,377,731,640,080,685,679,452,120,616,804,175,641,079,544,006,
159,075,917,412,732,341,398,107,099,284,574,056,867,590,216,129,067,964,739,
791,144,773,326,937,147,980,722,693,106,240,484,651,688,971,298,909,419,574,
399,124,478,017,869,963,608,163,828,275,037,520,549,924,653,871,796,697,908,
603,802,756,987,834,143,962,941,291,330,023,342,271,391,132,335,668,374,629,
358,767,855,667,341,464,220,544,714,092,874,868,647,873,732,541,615,747,951,
990,902,618,561,643,870,487,813,316,118,900,589,769,297,804,072,213,193,692,
724,785,092,809,283,769,204,514,673,735,691,475,634,781,154,677,752,435,358,
265,365,412,319,494,262,359,622,114,860,747,235,432,230,216,176,745,477,658,
015,206,351,645,642,164,155,837,280,936,894,199,833,279,093,760,507,573,473,
770,797,571,645,377,129,911,555,758,569,658,909,586,609,389,602,816,836,264,
611,033,252,978,859,834,807,821,553,763,920,960,145,423,715,439,248,502,259,
035,379,625,899,815,831,926,954,800,400,956,369,320,379,546,830,056,696,793,
014,213,839,050,176,197,295,848,671,344,399,479,326,460,295,704,936,307,331,
384,696,113,904,583,333,049,970,104,463,623,869,171,251,309,147,721,415,902,
548,066,449,113,964,664,747,058,381,598,765,088,865,525,927,633,526,741,201,
942,962,872,976,174,623,837,535,453,062,024,957,023,513,581,709,967,106,824,
505,306,762,428,486,946,551,779,393,426,976,470,145,650,319,931,270,500,850,
276,417,134,446,885,807,609,973,614,133,601,122,205,513,821,497,386,731,435,
489,639,180,011,999,490,711,538,288,540,363,519,100,181,404,039,710,958,105,
369,306,936,644,522,341,327,764,765,775,430,311,554,001,414,581,752,631,462,
454,251,479,839,957,566,583,184,138,778,266,191,037,116,888,843,758,946,890,
661,897,078,944,020,432,652,504,862,315,772,513,128,212,921,791,946,063,418,
593,334,156,608,107,919,905,103,957,733,323,875,763,151,457,063,511,054,059,
689,159,123,797,051,960,636,248,779,349,129,634,517,774,782,687,093,294,262,
603,355,189,273,853,982,384,114,919,679,983,755,291,428,641,050,267,008,357,
116,352,316,345,528,956,358,370,583,820,253,013,596,155,018,123,722,807,432,
366,376,369,941,475,521,867,860,907,261,854,880,386,283,820,726,947,212,994,
407,095,163,691,576,758,784,744,081,269,976,272,890,528,452,219,821,868,913,
012,790,681,402,030,067,139,064,732,962,496,310,649,364,798,537,461,966,088,
994,511,114,331,815,997,814,088,303,752,526,051,086,819,782,381,345,433,538,
426,807,154,613,474,300,984,512,119,462,128,622,308,950,964,608,193,875,648,
515,146,823,489,697,679,006,115,543,234,280,136,342,012,711,439,565,432,934,
189,932,432,436,006,155,931,339,883,735,576,534,434,729,247,393,193,625,937,
660,037,195,832,464,107,385,586,542,243,973,994,656,262,340,653,541,421,678,
435,620,819,553,651,734,816,350,744,858,837,503,849,968,080,191,702,315,580,
666,436,070,700,833,104,786,577,453,366,864,889,292,022,948,731,823,684,862,
719,847,798,422,684,730,559,989,804,985,690,110,588,959,960,201,254,422,019,
977,322,692,181,401,006,529,711,647,161,716,246,297,795,634,609,299,798,856,
141,149,486,949,476,879,473,495,215,767,248,298,560,385,790,764,483,134,343,
607,446,612,264,246,879,133,334,796,567,288,125,101,931,753,022,721,253,519,
168,039,256,546,168,235,819,221,996,066,984,117,810,900,973,114,389,472,278,
840,536,169,288,844,168,105,190,367,757,368,394,638,943,574,665,774,532,043,
162,358,245,355,639,779,763,391,315,979,413,273,419,369,683,838,335,289,585,
314,704,017,084,531,219,637,322,050,155,047,046,555,080,181,724,787,197,054,
575,645,824,336,611,653,320,557,200,655,352,773,184,579,684,989,023,313,112,
957,512,207,863,644,023,849,382,624,209,708,841,775,511,439,604,177,834,847,
608,772,644,124,395,863,930,819,890,177,600,536,173,094,154,778,903,247,435,
251,663,005,771,002,609,091,555,321,715,662,258,308,397,402,624,310,821,044,
793,597,374,248,328,394,777,039,222,766,788,058,781,713,861,198,746,959,686,
362,576,769,455,336,335,590,139,657,659,823,313,448,610,759,790,896,374,848,
221,290,878,608,857,670,837,981,953,844,275,310,166,156,099,925,433,857,563,
910,531,779,375,214,194,673,701,844,871,365,083,768,669,925,797,914,530,386,
941,734,757,744,533,961,745,584,549,404,165,089,284,410,309,667,900,034,190,
287,868,633,173,331,884,501,227,256,151,421,422,471,421,708,767,209,316,197,
835,675,089,151,489,501,198,737,295,882,850,340,021,349,623,376,977,230,949,
892,152,211,967,402,404,402,603,073,095,636,046,644,140,471,486,393,787,998,
929,898,196,061,911,221,362,568,333,504,022,225,278,073,117,400,397,329,279,
830,161,432,209,310,230,279,232,651,712,297,341,439,574,735,519,348,247,437,
884,230,343,986,142,427,971,052,737,138,507,843,443,565,359,275,946,917,428,
759,664,492,395,939,282,843,079,695,571,366,756,066,007,409,626,897,059,558,
285,263,072,962,221,862,737,113,330,682,574,534,697,435,791,808,747,180,317,
967,335,297,880,027,320,508,003,807,640,349,715,586,942,162,970,836,833,391,
692,743,088,094,519,204,116,453,939,534,772,596,876,041,027,604,925,924,509,
629,479,430,090,043,401,178,282,361,332,610,177,953,645,578,476,707,771,535,
404,557,845,042,237,289,958,538,425,488,925,556,814,465,662,349,509,977,669,
802,952,004,801,277,985,118,801,891,059,383,366,017,503,618,569,283,202,071,
195,580,335,277,049,644,442,726,948,247,132,238,858,627,440,021,049,556,995,
625,944,044,901,110,031,843,106,837,811,003,359,717,853,354,352,878,908,126,
151,102,346,712,317,811,386,825,444,405,807,234,801,931,515,133,579,843,665,
570,520,443,896,567,895,088,025,791,595,005,620,268,902,765,759,036,035,524,
635,038,695,219,632,069,226,213,783,049,476,714,731,715,684,876,843,639,671,
720,846,019,693,838,824,605,408,675,568,866,244,217,304,881,158,994,612,802,
937,851,525,077,083,718,070,995,531,858,748,608,332,763,285,902,557,600,217,
323,893,678,824,158,220,346,396,556,741,512,550,878,369,056,469,484,539,676,
521,648,447,023,458,661,627,807,731,925,320,837,429,751,623,394,661,326,636,
433,246,294,576,133,392,320,041,584,796,193,884,546,624,299,103,977,469,121,
681,683,374,527,868,338,553,171,299,970,006,118,892,813,199,338,575,314,442,
918,322,052,047,768,095,627,762,987,142,474,540,336,541,531,328,003,530,217,
593,057,331,217,969,835,080,993,094,399,131,699,984,100,324,377,255,207,200,
102,418,854,491,224,007,483,902,936,238,334,428,944,409,779,207,892,028,606,
337,804,773,528,741,065,062,979,154,932,028,218,538,070,831,658,848,232,362,
561,716,078,858,542,538,288,890,076,346,844,385,031,730,351,304,533,938,216,
710,999,377,013,309,023,855,446,055,586,387,076,827,199,403,909,194,917,389,
118,589,942,306,923,000,157,064,785,181,953,482,688,282,394,504,199,224,617,
093,649,906,755,003,555,800,968,101,205,032,172,803,847,489,570,375,408,441,
982,795,400,480,584,028,264,183,520,183,190,412,211,210,079,593,055,361,113,
075,143,916,406,981,280,432,788,478,296,179,531,185,108,771,619,387,877,171,
990,281,268,130,352,584,437,032,404,148,389,441,326,324,828,658,951,501,735,
353,398,646,938,202,424,083,505,313,141,046,133,497,542,199,991,330,109,924,
488,304,869,819,138,314,553,666,791,236,938,913,990,993,840,791,252,891,919,
692,880,800,993,736,594,202,233,457,459,694,060,384,544,868,744,597,104,479,
736,830,275,430,559,141,499,987,359,345,318,508,792,735,536,386,484,872,154,
182,480,830,707,567,276,781,056,333,462,995,983,134,634,701,343,239,927,691,
561,684,232,453,399,250,563,567,568,898,694,214,877,425,318,021,813,146,123,
057,930,395,699,288,344,688,157,403,868,799,116,010,329,366,877,066,145,414,
498,238,597,622,693,086,534,484,247,011,957,255,548,896,593,532,648,151,444,
841,218,131,184,794,278,188,956,955,917,547,579,937,131,797,608,525,692,186,
766,204,860,442,070,413,250,638,122,152,833,476,917,162,231,587,871,149,129,
892,329,837,586,922,724,223,884,964,253,580,148,836,969,224,395,250,356,867,
876,344,899,939,404,244,684,377,917,581,432,547,719,733,497,781,207,982,344,
054,968,042,110,581,386,250,326,950,946,170,706,132,882,355,651,978,597,933,
956,138,068,067,607,114,263,208,486,529,333,266,805,692,294,320,459,087,072,
185,961,190,940,922,505,732,125,585,818,646,135,053,276,149,385,684,525,259,
636,273,321,068,838,029,351,608,588,376,730,814,645,052,679,196,253,559,581,
854,670,142,403,505,011,716,124,073,498,552,675,772,941,896,333,084,341,283,
556,222,010,553,125,784,193,480,494,736,653,894,052,430,531,765,086,698,762,
219,729,272,513,239,504,275,750,058,885,507,880,885,916,078,614,176,793,397,
866,469,249,613,616,512,539,188,308,860,596,932,571,899,840,164,990,830,180,
719,728,186,593,902,750,186,063,711,529,136,216,940,348,659,827,828,431,970,
986,540,194,707,407,982,007,602,770,646,648,320,959,442,795,915,296,793,647,
006,890,882,903,211,314,174,205,730,587,752,675,978,938,151,272,028,382,777,
594,574,489,913,502,938,371,109,341,764,501,856,869,381,678,485,013,870,266,
891,194,078,434,372,011,392,050,065,421,107,281,108,482,234,649,662,911,989,
546,075,079,774,242,237,147,993,711,760,782,114,923,832,158,964,253,332,867,
081,586,020,803,618,079,975,268,101,485,067,462,783,339,217,901,781,911,496,
181,423,207,329,011,209,364,299,742,170,370,383,333,798,136,385,347,551,989,
802,487,365,450,767,546,507,455,029,283,857,706,664,780,090,487,107,720,689,
388,636,967,309,335,969,571,899,101,273,724,563,338,053,207,936,431,981,850,
415,344,953,089,503,379,661,069,775,073,589,627,502,684,137,296,099,109,533,
002,166,581,628,892,835,831,594,092,668,460,983,212,259,837,826,263,382,351,
720,538,332,377,606,949,030,536,991,773,946,141,489,839,765,993,629,846,923,
548,091,911,132,501,421,623,347,631,740,958,061,952,706,586,778,838,728,365,
688,218,486,837,541,470,656,118,234,829,068,864,170,901,289,404,968,814,877,
077,439,888,036,441,934,051,916,755,264,695,248,868,301,983,887,721,004,589,
484,391,290,949,950,290,453,847,331,889,854,039,861,218,350,320,744,305,544,
444,915,769,521,678,059,398,822,649,553,058,160,193,251,053,507,921,581,567,
897,668,346,232,006,892,624,222,275,871,784,658,417,291,329,648,023,233,408,
045,558,485,006,821,538,463,677,639,898,025,312,325,761,471,651,656,619,678,
741,343,651,241,291,830,874,325,516,608,457,182,090,956,930,733,705,467,129,
038,544,445,750,712,561,760,378,220,211,172,006,098,357,882,855,798,775,437,
589,302,634,040,076,391,844,352,670,828,367,615,280,674,648,582,554,432,461,
910,759,675,287,982,999,493,655,685,388,298,144,371,466,959,521,272,346,106,
971,915,237,886,257,554,083,846,870,885,132,819,508,749,341,313,954,071,842,
827,079,781,187,972,058,839,918,048,195,814,820,396,711,618,812,183,051,998,
974,638,306,896,444,468,569,578,481,795,112,590,889,670,895,487,045,233,761,
252,361,196,650,501,679,379,158,809,596,925,050,269,807,519,985,642,680,833,
572,928,416,275,075,406,780,906,304,150,907,223,199,497,065,090,521,635,074,
888,520,873,973,450,784,303,819,075,223,734,485,624,391,196,592,537,496,365,
446,859,663,650,730,541,277,562,033,215,633,650,880,562,016,653,255,516,085,
797,694,646,051,876,913,146,885,620,763,977,357,394,559,462,878,803,519,025,
594,956,570,766,948,576,686,139,901,504,996,131,926,470,041,266,069,613,684,
000,938,970,989,448,937,177,582,085,162,004,144,765,648,793,422,241,368,513,
475,431,111,531,833,094,434,327,833,448,847,101,921,812,487,055,887,977,998,
982,346,335,620,479,724,125,630,098,062,887,349,331,569,661,798,371,735,130,
035,599,203,760,635,717,044,307,335,625,861,662,947,179,464,960,776,501,146,
282,682,156,276,995,355,434,920,994,312,539,997,479,235,262,585,134,686,432,
307,872,923,946,558,421,727,185,444,809,527,452,799,984,039,225,280,656,376,
060,973,594,850,295,055,553,650,186,467,405,575,888,902,432,549,292,821,234,
156,486,337,573,535,337,923,449,540,034,082,761,015,741,315,623,351,454,397,
822,518,656,978,526,381,158,687,451,407,708,124,969,491,693,935,371,278,836,
663,714,455,139,218,845,716,800,532,203,983,999,048,759,655,658,769,637,475,
123,362,340,745,576,150,583,405,226,550,624,854,542,263,813,721,710,933,057,
198,176,469,267,897,613,282,926,248,234,115,115,712,789,331,442,158,114,837,
918,116,121,904,717,716,505,334,783,583,041,993,571,557,351,902,895,259,254,
117,757,453,685,926,213,297,517,938,889,663,236,480,615,619,473,547,061,832,
787,937,213,582,602,066,446,764,828,686,747,842,944,890,395,356,448,767,708,
540,523,443,680,654,545,527,803,478,161,102,660,123,264,016,915,767,889,451,
624,665,838,742,241,059,052,023,558,631,155,984,066,087,189,424,475,464,888,
548,364,274,338,355,811,335,604,995,179,570,823,270,485,464,350,044,301,102,
180,549,393,284,899,956,375,398,206,170,688,256,715,562,105,466,088,228,107,
040,074,908,578,950,959,693,748,570,536,694,376,512,863,776,574,571,513,916,
219,813,741,134,903,001,353,780,265,845,609,040,880,912,851,290,048,835,540,
193,419,914,869,134,846,407,793,025,924,537,293,307,549,313,431,298,811,302,
818,718,949,619,818,399,893,800,850,671,219,478,531,373,050,021,104,371,189,
262,409,907,600,377,853,126,361,457,318,615,851,570,183,318,041,355,317,282,
490,610,892,170,795,280,433,912,513,179,076,354,508,067,380,634,931,023,597,
818,817,682,672,958,868,038,563,031,663,632,322,593,326,261,295,480,808,431,
421,119,794,254,810,231,304,903,550,508,107,843,748,701,936,625,681,876,196,
568,993,293,393,612,140,843,774,591,236,201,301,884,653,500,426,173,334,372,
483,258,991,936,408,887,038,076,929,738,705,330,393,798,193,128,595,393,578,
937,672,414,989,988,368,883,542,704,870,148,583,951,401,457,919,638,040,841,
500,105,661,762,345,748,772,732,963,014,752,342,911,479,569,521,096,103,958,
911,923,839,446,678,897,840,713,285,751,209,851,796,043,940,500,107,822,069,
729,983,249,561,136,040,478,118,318,947,486,376,290,752,022,797,929,027,053,
707,152,660,524,526,466,498,511,629,481,227,596,312,172,916,244,215,858,283,
455,755,948,483,985,180,041,668,832,281,197,931,770,204,350,998,130,869,748,
304,364,635,265,744,166,927,344,091,572,543,117,144,048,295,416,537,165,388,
056,182,088,220,045,441,834,603,044,359,977,647,881,770,204,795,926,208,797,
904,915,061,821,906,253,052,578,074,847,799,506,201,358,387,042,126,968,526,
703,407,155,578,097,040,188,417,203,144,323,237,308,623,410,933,082,959,094,
561,030,988,121,791,748,723,530,592,771,998,154,072,658,377,744,818,232,962,
947,724,806,750,298,269,595,401,417,572,437,616,235,481,226,352,627,114,661,
179,972,824,535,828,089,726,602,880,415,540,092,279,644,048,742,232,471,369,
645,147,602,835,730,741,571,394,279,874,372,336,793,392,350,076,474,062,379,
371,712,494,343,899,621,324,176,168,878,188,115,380,082,132,603,582,618,622,
015,755,735,730,207,862,603,116,450,597,222,722,362,733,467,519,353,228,070,
869,411,119,855,449,725,065,676,752,417,711,377,960,108,843,692,942,062,686,
469,585,467,096,589,878,295,872,461,732,131,511,959,301,794,929,423,292,227,
329,746,601,035,357,858,265,139,675,035,971,174,495,387,390,018,779,261,196,
776,539,103,936,943,005,714,580,596,081,991,223,339,625,036,140,407,071,989,
914,562,976,010,272,945,416,961,118,421,634,245,666,753,022,028,465,560,082,
741,514,757,012,400,839,388,007,880,109,326,085,150,912,022,075,881,825,472,
071,271,731,075,407,935,854,897,971,646,068,814,070,680,223,153,094,177,636,
357,008,558,767,218,531,321,643,401,272,391,707,878,108,847,229,724,194,772,
127,083,368,155,115,087,760,998,171,247,737,662,841,297,967,501,345,842,564,
610,099,268,462,601,038,441,572,148,219,634,561,842,467,069,046,694,272,429,
362,235,119,340,032,084,529,291,314,543,515,674,629,366,248,195,248,337,847,
394,348,371,518,509,582,694,309,395,913,863,833,545,361,139,404,711,750,869,
136,429,114,198,786,623,286,525,804,579,062,760,416,444,890,898,380,107,479,
935,578,789,200,045,952,624,115,006,171,987,454,470,411,761,772,093,725,381,
062,704,944,313,270,238,015,629,839,296,684,039,745,952,507,154,344,504,175,
587,438,750,939,628,288,523,683,099,519,959,665,837,976,173,032,528,251,494,
861,299,226,503,811,119,280,542,026,630,491,120,695,901,219,421,598,288,183,
684,795,857,654,905,387,036,183,971,102,846,940,432,866,200,513,024,942,527,
194,940,575,969,007,798,612,006,889,593,831,211,884,590,746,186,080,651,757,
862,736,822,134,436,940,925,044,686,483,249,825,036,376,974,396,780,934,025,
630,044,796,210,960,876,724,224,873,546,609,662,434,289,825,754,338,892,983,
789,968,512,810,583,583,035,476,748,744,475,874,293,190,321,102,342,660,513,
758,756,770,224,491,937,371,979,881,489,642,007,943,756,503,455,785,645,982,
118,007,734,214,101,667,993,077,996,880,899,836,176,853,915,152,969,306,079,
714,347,800,807,505,364,534,874,642,237,534,053,162,461,193,891,592,978,069,
130,241,469,723,340,348,491,543,034,158,408,331,283,428,987,123,573,905,396,
190,208,469,460,218,789,116,401,241,594,173,550,764,296,259,788,462,635,964,
536,056,376,693,432,607,347,015,134,213,806,539,479,681,491,638,334,480,820,
421,715,193,185,242,959,756,883,149,930,166,457,227,088,592,004,420,796,280,
378,493,793,687,229,330,605,638,318,217,985,968,823,246,784,050,874,976,346,
834,792,924,030,830,046,846,746,426,526,589,602,419,340,299,811,366,086,804,
372,383,149,096,214,662,746,311,685,663,521,968,112,379,697,084,626,577,970,
405,649,725,985,634,280,812,691,097,319,284,571,114,414,085,611,023,830,324,
587,384,112,307,794,611,133,012,822,924,575,928,432,578,016,188,064,462,333,
258,778,593,094,426,976,999,744,975,577,982,802,137,812,069,040,835,885,579,
491,504,617,362,399,547,072,586,926,780,800,843,690,689,206,286,638,749,852,
637,097,329,981,400,451,390,326,907,501,780,637,011,413,078,802,860,876,469,
127,354,249,010,133,177,125,469,542,527,599,177,203,215,590,483,442,091,069,
182,826,967,034,508,776,072,397,019,094,673,964,507,107,340,220,162,760,411,
743,457,785,973,143,786,692,526,013,213,490,836,628,895,119,388,999,744,611,
395,402,185,975,273,208,874,587,133,608,401,371,512,461,877,295,125,113,935,
885,979,934,685,753,947,812,792,911,902,466,134,266,769,336,872,715,984,427,
897,571,153,101,962,499,442,915,632,500,350,816,577,376,521,916,194,723,068,
616,983,459,364,815,559,340,998,824,743,340,830,944,360,941,280,286,281,336,
644,829,409,526,212,207,693,042,300,266,040,902,118,086,258,630,492,977,928,
245,530,776,468,704,492,707,406,676,375,859,175,582,923,378,782,151,776,820,
555,642,961,707,029,678,919,964,531,670,887,771,783,914,896,087,116,614,223,
100,272,700,006,597,109,927,691,298,070,842,918,886,320,423,841,955,851,122,
008,240,120,886,384,485,103,212,101,227,784,663,059,752,760,953,552,289,276,
296,557,506,900,264,670,911,852,615,966,581,936,358,590,908,859,446,233,180,
308,347,057,934,024,598,714,302,671,784,143,828,375,024,084,251,189,919,709,
098,553,881,792,603,327,620,699,959,875,600,472,414,966,163,405,381,422,640,
786,961,362,272,269,453,278,287,619,833,226,111,999,862,345,841,941,415,364,
936,010,258,196,433,451,539,328,500,968,132,618,630,563,211,999,713,099,820,
623,045,040,114,401,352,640,652,282,922,332,508,597,161,572,682,383,662,997,
240,870,364,698,219,515,153,084,141,307,969,721,686,780,804,656,581,470,287,
581,602,193,748,338,364,644,427,487,938,822,020,827,971,529,996,607,775,894,
892,418,699,604,747,306,734,465,777,358,360,361,210,833,124,520,420,925,788,
618,720,898,558,557,276,928,429,861,460,085,648,251,201,733,940,891,752,986,
224,779,962,690,922,604,349,857,096,819,643,782,771,919,487,579,791,094,948,
449,845,110,621,215,623,791,974,049,254,140,386,141,961,737,994,250,580,063,
197,859,658,564,695,163,452,587,528,414,256,742,540,190,903,007,050,024,801,
754,627,933,052,519,118,983,031,953,359,477,066,929,789,089,336,209,441,221,
414,367,120,354,631,140,931,960,923,156,889,922,561,384,431,754,876,362,083,
296,851,703,921,765,874,143,497,062,636,547,645,301,190,427,936,104,652,051,
923,957,893,563,283,326,187,489,315,312,088,102,725,618,867,525,351,001,959,
899,797,804,640,893,088,021,177,745,465,981,595,056,019,148,225,665,291,161,
192,258,217,895,103,377,890,117,067,019,126,488,440,659,517,387,280,673,029,
725,147,388,351,012,577,597,490,216,195,504,590,795,943,976,876,593,572,705,
924,595,331,134,311,481,139,518,703,454,089,686,952,539,123,456,675,407,474,
118,460,602,799,107,192,452,303,782,361,689,076,640,770,926,553,622,213,806,
222,203,447,301,782,088,936,048,255,933,467,054,558,832,714,621,704,090,640,
549,530,854,092,888,637,052,806,816,456,881,600,907,212,706,084,077,489,398,
356,683,194,608,567,983,793,410,274,034,483,956,188,915,145,952,119,833,059,
964,991,576,995,889,836,121,470,427,691,271,792,766,439,463,377,038,990,580,
397,007,820,319,319,443,337,038,042,440,856,102,249,194,810,091,973,312,218,
978,190,072,776,712,948,306,033,689,610,340,473,997,605,629,477,456,555,218,
057,155,814,428,276,906,726,519,579,253,620,842,969,554,340,773,982,491,118,
322,500,220,819,315,921,616,432,324,535,733,168,292,414,544,524,132,854,569,
647,894,360,403,859,965,267,444,821,227,042,606,901,512,226,955,445,374,918,
213,563,697,315,258,500,141,715,305,438,626,564,328,750,117,948,054,700,897,
253,832,184,833,828,469,011,511,092,449,891,723,011,894,385,818,182,657,300,
394,303,493,845,438,674,207,017,361,783,506,289,868,799,589,996,318,383,811,
865,393,177,669,959,739,387,852,743,699,314,016,692,102,002,210,717,303,080,
667,487,875,856,361,232,048,645,408,871,660,862,279,429,028,056,525,029,965,
130,181,062,594,482,805,142,140,018,709,862,971,346,646,689,928,641,312,434,
125,941,126,615,598,906,042,225,878,459,123,822,494,122,135,580,244,815,737,
958,285,059,547,228,662,247,395,203,058,690,480,205,192,285,854,332,403,173,
105,437,178,232,581,338,656,616,717,677,067,236,673,559,355,095,570,114,238,
964,036,044,456,882,494,261,564,164,613,324,220,999,713,289,038,537,329,976,
044,058,940,802,561,170,856,594,994,033,721,839,470,938,676,637,300,867,896,
566,689,825,086,581,517,174,754,981,934,365,505,790,626,157,946,176,256,536,
703,363,995,937,836,043,920,571,180,338,559,482,793,918,748,923,673,031,155,
998,376,262,507,566,256,675,146,220,485,862,047,055,948,093,846,625,945,800,
712,655,834,501,511,269,626,551,642,328,473,282,939,392,651,976,596,685,433,
335,530,282,352,758,526,696,950,774,827,487,844,933,474,253,660,253,699,002,
569,471,209,997,491,911,881,444,210,891,759,889,292,081,020,247,772,389,301,
997,142,643,549,042,486,653,676,291,265,475,864,165,325,704,938,199,577,289,
475,426,690,546,628,250,684,429,262,782,267,304,688,731,492,141,769,004,696,
719,430,900,607,218,088,266,438,983,429,752,899,152,916,288,174,132,378,892,
871,140,558,623,908,356,162,320,321,016,897,291,560,554,857,235,559,795,294,
137,535,706,590,339,551,323,908,618,905,926,519,938,526,941,203,112,222,071,
983,597,704,777,391,742,771,931,265,144,320,890,125,763,285,756,884,779,890,
216,424,064,144,631,862,435,209,714,638,126,963,999,343,196,767,529,207,875,
734,717,210,699,849,590,641,430,907,756,896,171,364,167,387,779,557,937,891,
428,518,663,459,393,395,728,443,230,979,468,307,155,813,674,878,875,496,056,
242,211,344,009,990,322,193,137,779,376,186,302,667,611,497,558,166,346,044,
132,795,321,872,050,753,114,112,589,867,983,949,471,923,185,296,681,694,831,
012,882,273,383,970,759,996,565,526,862,967,780,962,222,376,991,421,024,762,
058,379,553,489,409,595,916,973,145,510,768,589,040,761,589,482,934,856,589,
105,803,524,393,524,579,552,106,013,174,186,561,862,331,592,052,845,249,070,
598,156,337,430,687,154,344,549,990,550,057,687,578,123,648,306,568,774,507,
063,661,604,088,236,120,796,832,893,393,484,085,302,891,560,750,951,983,149,
547,534,138,751,072,021,483,395,449,021,062,441,407,707,064,677,409,025,742,
569,400,838,477,261,043,898,867,534,325,311,863,645,196,913,574,669,999,238,
169,918,295,285,652,690,339,972,237,717,393,694,232,292,970,779,973,423,591,
535,323,445,143,442,221,516,706,122,217,815,601,395,071,159,158,692,232,694,
862,620,992,695,218,288,094,302,865,027,842,107,282,409,077,793,058,832,257,
206,409,780,413,914,212,874,778,292,163,852,826,130,564,484,575,872,650,291,
463,360,291,663,013,091,782,585,632,748,318,521,009,961,793,304,100,376,829,
773,372,761,277,581,529,034,382,223,017,671,965,409,107,335,960,335,642,799,
056,415,317,683,536,268,581,006,912,410,756,392,366,266,649,593,726,075,971,
842,334,251,858,968,259,235,676,955,811,756,425,417,943,005,074,333,688,807,
653,608,191,186,232,577,260,507,579,679,532,093,083,086,775,453,964,749,455,
610,544,613,554,770,853,437,806,532,452,173,418,419,429,642,573,360,675,350,
685,171,816,789,159,859,760,364,962,292,713,278,428,879,056,438,681,707,925,
429,393,619,246,374,567,278,091,289,458,249,392,884,587,184,859,071,996,471,
853,030,496,331,389,531,996,420,769,336,048,217,700,831,382,222,737,271,351,
909,022,245,093,401,258,987,770,947,338,746,410,145,670,117,775,944,939,857,
326,623,893,774,961,643,689,728,120,882,500,899,373,885,655,019,972,763,647,
670,833,109,230,858,075,841,879,440,078,565,311,318,723,632,010,219,831,364,
281,165,204,107,144,986,688,950,685,479,411,108,887,599,102,640,570,310,976,
382,506,990,507,422,754,636,004,839,829,982,132,925,649,848,746,972,194,232,
131,842,525,614,135,859,500,631,233,121,765,100,122,754,947,774,740,432,923,
321,041,252,684,328,649,816,789,103,833,286,556,363,720,278,602,591,166,700,
467,291,647,038,833,386,215,113,739,265,648,194,944,495,049,221,090,924,442,
318,111,890,293,211,209,625,902,680,165,304,613,335,495,177,966,570,301,243,
803,536,935,764,231,091,000,460,781,601,056,632,290,557,217,342,746,042,454,
284,151,461,050,291,058,437,576,560,761,686,420,857,180,142,445,390,784,529,
374,848,132,833,187,078,089,240,162,945,150,125,537,622,684,419,912,292,743,
776,239,644,873,277,293,495,633,969,855,536,446,231,323,856,082,582,354,975,
284,928,023,681,712,464,112,566,559,781,514,874,277,235,098,274,609,149,075,
131,494,762,456,201,437,784,538,004,195,362,655,889,634,533,367,018,211,298,
135,592,918,236,803,802,671,934,726,546,152,675,856,062,716,623,023,246,910,
129,071,260,809,558,114,972,730,689,150,657,606,100,522,282,291,220,009,865,
861,625,515,326,681,279,664,993,098,408,293,784,366,051,666,314,277,268,361,
069,001,350,093,724,701,416,500,040,752,891,490,669,145,044,784,666,858,770,
191,234,408,207,644,336,480,816,457,794,255,768,337,434,452,690,524,790,876,
078,062,859,992,042,151,128,953,685,206,208,686,734,461,467,220,355,740,620,
251,795,977,260,877,187,991,084,576,269,292,573,730,527,037,462,813,141,753,
741,570,375,347,729,314,767,493,474,404,266,622,959,388,751,624,383,589,262,
829,758,173,629,697,375,854,605,086,540,741,368,840,287,844,572,979,617,638,
601,732,958,123,967,958,397,583,219,866,084,079,027,393,518,659,406,455,677,
938,103,194,756,768,716,139,160,239,672,229,255,864,941,514,956,475,968,741,
889,328,335,739,918,272,061,039,500,793,328,917,508,067,837,084,362,196,737,
708,151,560,158,683,071,842,363,425,503,174,873,778,357,984,583,904,295,227,
327,886,579,556,300,055,120,198,277,859,362,211,737,817,029,204,695,525,908,
613,976,943,656,883,530,990,110,984,585,783,745,405,158,615,729,719,628,598,
315,764,195,011,803,338,845,508,882,846,876,964,958,247,106,235,937,701,622,
837,320,831,040,893,923,951,685,950,139,280,777,674,888,066,968,279,727,533,
265,227,409,523,365,407,639,767,148,878,496,576,843,540,923,119,124,232,133,
022,270,004,748,326,432,325,831,927,934,067,650,120,435,810,561,219,357,808,
812,738,843,494,023,315,670,101,934,656,856,531,794,332,669,144,793,631,744,
436,244,880,463,956,650,999,052,534,483,100,048,057,470,012,753,354,043,773,
290,966,369,090,353,705,604,957,757,618,381,848,765,060,376,826,529,950,165,
018,695,232,014,948,646,295,371,063,244,330,124,010,919,945,752,347,681,034,
777,815,964,119,072,099,441,319,649,428,563,698,611,302,463,093,858,369,660,
294,196,295,297,158,124,595,848,332,575,398,467,432,925,589,682,651,302,473,
893,713,366,413,350,051,450,840,431,740,518,243,744,197,537,418,358,055,688,
565,910,118,340,718,888,928,359,311,982,563,420,336,076,532,692,900,322,908,
767,913,451,393,541,392,242,061,810,713,718,132,654,156,459,315,597,221,505,
980,848,878,930,318,157,243,992,123,387,573,863,099,179,486,483,202,821,882,
589,285,860,613,632,388,744,984,354,477,216,758,922,176,780,270,471,564,874,
791,447,263,812,923,704,278,946,691,674,845,643,903,457,305,787,900,047,184,
537,013,262,164,966,362,674,244,641,833,712,310,668,313,045,256,456,780,870,
743,869,494,129,710,868,174,968,960,086,585,714,863,300,992,422,800,112,539,
130,640,648,708,385,805,962,205,341,106,285,331,008,083,022,202,074,411,305,
291,264,252,711,372,885,497,133,419,247,499,193,807,259,264,334,507,051,267,
607,366,538,347,789,058,607,142,936,723,232,953,445,686,186,576,540,410,920,
684,126,133,234,510,297,971,688,655,294,662,074,335,302,767,939,470,351,334,
925,948,778,991,310,677,264,524,046,297,278,345,309,439,934,812,164,200,704,
560,782,349,653,117,373,038,959,551,116,104,597,183,241,505,373,315,190,071,
459,815,593,188,880,002,531,679,053,101,504,262,192,115,588,978,746,367,065,
763,680,489,069,036,789,801,989,789,264,953,996,434,294,504,592,602,901,734,
007,554,856,663,905,601,369,776,484,171,736,866,510,479,942,306,749,824,308,
344,256,192,724,293,248,787,385,121,588,694,957,046,388,138,260,394,931,511,
347,121,621,620,240,422,943,729,999,277,366,182,253,674,288,420,939,629,603,
814,962,636,820,244,209,046,646,185,833,072,058,960,066,587,031,501,360,421,
534,065,755,646,876,518,994,490,936,589,600,460,795,454,257,644,218,555,789,
417,845,637,693,870,268,826,203,635,714,950,461,159,635,746,469,096,322,117,
708,205,570,073,388,648,564,266,954,963,725,212,635,903,158,266,959,002,050,
342,011,033,311,992,151,327,182,772,134,995,735,837,243,372,690,466,462,348,
178,799,655,531,085,140,561,956,294,407,678,537,849,461,593,836,477,034,815,
155,117,181,437,532,648,862,556,513,527,585,754,380,553,930,091,076,186,585,
893,056,625,355,023,477,958,280,136,907,154,739,028,026,373,865,786,877,873,
588,902,851,712,289,881,732,440,701,766,535,615,002,849,246,110,776,507,465,
880,409,708,194,514,327,846,987,110,994,259,714,629,855,495,696,944,163,118,
598,161,285,034,737,565,184,953,111,494,367,331,476,950,824,476,003,104,867,
781,061,113,205,509,808,455,593,735,044,998,732,414,414,195,701,026,439,641,
590,448,844,979,572,593,294,482,581,528,864,508,205,721,235,208,515,954,542,
367,011,007,363,187,108,864,281,585,538,303,307,274,554,244,554,390,105,913,
379,309,412,037,114,753,985,534,317,850,203,693,710,190,483,759,975,224,528,
325,572,128,241,224,392,685,204,385,048,766,265,693,847,313,405,135,745,481,
817,268,705,117,184,806,034,792,549,233,123,972,731,569,226,921,697,661,544,
525,112,774,423,758,495,234,566,952,146,003,768,347,338,439,099,431,075,878,
077,063,490,880,905,775,430,775,739,553,190,235,294,142,871,151,311,390,058,
944,679,314,141,521,859,949,489,616,703,601,118,355,376,966,671,640,812,298,
347,132,458,576,109,811,418,231,915,407,099,722,318,504,288,298,548,765,095,
199,652,835,500,875,361,915,037,552,123,626,439,227,736,946,275,588,550,327,
821,463,980,525,534,259,206,181,084,700,932,746,879,955,061,692,866,966,368,
084,436,567,760,017,090,973,471,483,952,826,905,652,087,809,242,815,074,768,
316,472,710,877,666,791,279,048,882,953,577,427,333,680,385,931,637,084,160,
392,639,912,084,320,674,944,219,203,057,303,317,447,129,704,776,494,668,983,
806,933,697,969,289,747,620,210,745,384,727,264,726,639,763,644,282,038,864,
142,524,961,956,590,080,760,601,759,990,418,972,290,954,407,161,428,937,249,
756,675,630,192,030,590,306,832,330,997,127,361,802,482,954,243,379,679,697,
002,534,863,357,662,739,886,530,217,310,370,001,817,452,946,583,503,761,582,
534,122,528,765,869,456,784,477,648,253,385,726,546,905,578,323,965,667,905,
449,399,955,896,904,416,197,817,571,499,398,581,904,030,808,364,059,668,092,
642,004,657,946,225,910,186,703,133,248,043,195,891,436,395,409,096,483,924,
726,562,770,463,592,620,590,730,859,752,174,805,592,148,062,564,255,439,051,
110,715,566,184,697,655,172,062,950,018,513,347,619,344,956,204,754,873,157,
125,136,867,676,361,538,118,722,356,943,679,137,105,659,806,068,640,122,074,
245,197,032,344,388,487,046,872,986,496,893,106,294,661,945,425,461,654,477,
163,531,474,554,757,195,759,752,893,104,657,201,103,854,372,807,828,968,584,
727,059,633,471,699,371,882,755,101,089,310,557,309,027,893,290,193,259,736,
626,103,999,463,240,505,543,115,029,873,623,059,549,171,865,775,076,990,621,
881,558,349,064,134,241,824,084,745,992,796,001,501,628,427,228,008,000,712,
532,941,982,046,036,845,625,405,577,332,267,062,511,118,342,786,888,867,152,
726,478,879,849,141,403,298,809,472,807,968,172,200,644,924,028,861,093,402,
536,639,147,569,241,153,652,217,472,559,899,440,119,590,889,714,891,597,348,
998,099,191,203,995,576,743,656,871,221,625,830,192,194,590,426,801,036,547,
410,557,811,182,504,913,311,798,563,693,489,940,910,863,658,387,416,661,177,
380,350,725,913,817,246,765,439,661,769,477,461,170,762,202,075,633,396,347,
321,763,394,323,769,932,083,201,655,774,511,890,502,102,812,126,657,696,033,
156,150,121,495,447,250,516,562,155,158,648,013,376,702,510,653,275,939,936,
351,686,254,540,070,852,918,937,468,184,036,050,182,140,355,657,096,555,704,
202,365,091,096,553,582,662,989,442,328,760,688,199,487,634,802,844,799,970,
691,568,710,548,002,722,594,516,627,992,923,706,149,618,598,975,473,345,080,
911,075,041,440,833,399,898,468,450,715,314,363,995,194,884,391,446,042,372,
019,186,677,516,615,597,958,602,120,942,968,087,228,123,656,676,514,517,788,
101,040,355,596,369,579,342,965,995,488,544,167,823,549,069,758,700,931,828,
019,204,459,233,265,525,246,319,373,351,267,234,197,561,241,220,716,936,099,
352,548,610,304,821,888,486,179,933,377,986,034,663,964,638,186,954,971,312,
817,306,549,308,906,832,695,949,115,075,226,853,221,986,171,350,396,456,641,
518,180,711,534,549,798,232,491,887,064,044,328,305,977,111,221,080,648,029,
077,315,261,880,336,292,104,114,439,968,010,766,377,756,745,492,271,969,760,
080,970,199,714,142,383,611,454,966,395,334,528,127,492,605,327,737,782,410,
004,367,225,107,312,517,814,754,483,678,400,109,145,220,498,081,780,943,218,
761,291,015,361,297,569,523,764,009,420,293,936,786,786,538,129,152,644,131,
583,652,721,200,970,912,034,246,873,093,389,502,844,031,872,854,394,580,992,
221,287,747,682,358,279,055,271,716,917,415,501,831,044,722,529,639,090,666,
830,647,644,096,445,212,898,489,227,226,562,905,891,229,215,169,739,070,657,
115,698,261,464,350,078,394,072,120,302,483,749,552,668,884,824,662,649,909,
515,135,474,219,891,074,845,033,276,260,257,214,970,873,190,673,954,538,196,
239,448,809,517,932,766,441,003,149,862,014,006,312,884,539,721,035,811,943,
330,524,082,084,562,640,827,777,470,583,166,890,495,530,488,938,471,313,170,
915,053,831,628,748,939,282,525,669,088,223,307,476,259,117,842,272,483,795,
097,684,119,172,484,560,199,557,065,212,998,196,814,684,345,701,745,843,604,
548,286,606,228,456,231,623,982,051,992,517,388,133,611,266,484,272,457,922,
994,563,890,383,692,250,068,794,415,841,069,223,829,512,117,729,985,576,673,
479,156,774,028,545,805,928,542,418,973,257,849,242,973,612,101,939,241,293,
201,095,671,286,005,948,999,206,238,138,491,028,171,540,074,645,970,977,079,
926,554,001,998,303,064,337,719,926,638,916,368,230,380,408,154,553,987,332,
096,961,313,162,496,917,659,692,087,317,557,823,456,547,262,952,394,162,083,
500,323,099,067,152,726,280,035,163,851,655,963,489,160,071,423,569,807,243,
393,009,395,309,119,117,358,994,048,889,494,647,286,860,473,254,774,362,694,
338,382,729,563,401,872,237,585,919,724,940,716,971,333,434,607,310,098,230,
196,259,102,282,258,890,452,095,032,284,599,939,977,003,839,754,225,933,181,
043,529,423,032,729,239,863,927,727,508,611,726,630,139,610,102,402,401,185,
393,105,638,919,094,263,202,595,639,870,715,223,132,204,014,625,634,899,303,
504,579,751,753,181,159,704,061,738,340,898,523,588,710,694,550,974,349,448,
677,746,361,038,800,062,672,033,613,854,045,929,418,489,744,891,383,333,846,
955,531,533,211,636,749,261,476,763,917,654,338,663,266,993,857,537,829,453,
740,013,805,554,175,686,012,388,117,940,144,083,786,023,524,878,632,682,405,
209,939,801,053,833,188,221,158,295,079,741,895,785,281,655,982,818,199,773,
875,047,778,513,451,193,368,180,098,727,307,752,484,181,797,753,893,702,674,
480,822,558,337,400,261,316,132,793,634,799,255,071,474,970,186,078,797,905,
491,087,002,884,682,626,359,690,522,047,274,911,727,269,161,366,580,656,790,
825,087,914,369,232,303,102,194,930,731,196,757,044,501,630,461,533,854,694,
663,036,636,524,845,578,807,316,534,876,946,019,824,410,104,699,367,527,271,
618,716,130,533,991,111,184,977,101,528,152,180,731,546,204,438,807,373,261,
565,861,081,920,152,054,224,189,532,018,607,628,768,333,649,158,719,984,345,
764,969,149,649,962,258,635,397,854,427,012,093,327,386,035,482,534,879,627,
022,336,446,397,773,359,816,049,669,187,895,955,565,724,634,387,754,813,520,
247,558,133,520,591,518,205,864,681,659,009,082,950,669,504,915,455,134,262,
023,628,894,855,311,568,717,129,191,781,919,930,038,828,149,374,855,857,723,
143,214,597,614,125,353,470,622,343,350,106,430,871,402,278,664,976,092,882,
997,732,888,361,539,792,510,768,032,486,737,188,127,118,153,523,022,101,213,
041,501,443,849,073,755,837,710,708,448,903,284,039,721,448,723,854,431,502,
383,932,140,192,171,334,383,768,693,670,084,927,877,272,112,708,696,680,127,
188,514,552,560,194,929,194,846,026,268,225,896,795,626,040,608,885,194,503,
812,336,051,392,179,738,372,203,528,199,130,282,821,669,187,112,380,492,705,
231,886,464,379,339,732,333,369,726,061,258,552,697,760,071,623,701,408,961,
200,813,668,741,208,078,010,261,245,548,660,270,075,206,502,943,076,958,618,
098,726,229,756,314,927,357,693,432,538,005,855,192,725,965,594,897,058,958,
029,592,330,720,526,273,996,758,182,068,491,229,451,576,943,951,933,589,469,
566,120,781,407,847,172,441,516,328,000,921,537,482,520,133,491,540,501,728,
011,210,956,406,526,079,793,106,955,501,085,268,653,847,317,871,192,317,727,
014,054,353,240,890,954,867,323,401,743,024,933,512,914,302,594,155,288,259,
421,334,627,673,102,883,078,720,059,357,611,563,293,298,650,651,212,606,804,
598,542,324,318,143,900,339,999,361,639,354,396,411,253,059,676,846,663,059,
661,629,496,591,974,241,980,349,946,044,195,768,419,619,918,035,913,050,320,
652,383,509,598,098,538,020,386,653,488,384,736,360,701,428,971,602,341,728,
769,110,400,431,158,002,163,559,787,478,804,773,463,139,307,698,772,539,372,
254,661,108,209,544,097,521,382,427,377,629,294,837,953,852,757,846,520,245,
432,697,589,047,417,594,273,546,261,480,165,232,894,590,034,097,646,176,313,
908,310,551,417,541,549,232,163,761,859,303,863,133,954,351,234,364,570,893,
579,990,393,110,400,195,082,547,064,434,412,242,857,072,492,316,024,930,710,
186,793,439,074,095,834,524,054,454,298,699,062,230,810,984,811,880,666,830,
871,475,747,281,330,979,494,655,971,615,856,039,474,345,642,001,991,027,788,
941,626,389,762,358,988,891,104,153,178,745,477,489,729,535,161,749,805,850,
204,204,378,336,841,127,044,706,902,857,747,529,084,368,575,197,992,418,742,
117,725,480,575,801,522,109,159,732,263,653,327,621,571,633,599,283,271,411,
315,518,496,371,370,579,490,590,566,187,544,705,260,231,047,305,323,970,197,
313,563,245,134,932,087,218,110,664,424,476,928,177,482,525,592,527,515,977,
217,505,224,795,285,396,912,263,891,236,536,677,096,850,092,618,748,515,980,
702,924,042,096,701,068,684,494,703,931,720,013,721,307,527,046,863,812,008,
204,761,988,260,851,710,511,677,953,988,632,777,055,415,239,732,854,391,290,
214,758,197,937,586,346,253,541,323,475,146,412,117,438,990,695,072,907,254,
299,677,114,868,406,130,903,700,863,376,015,608,191,224,732,732,987,776,510,
921,686,536,470,726,891,599,444,701,136,254,901,158,244,296,680,187,122,812,
119,437,718,849,705,163,579,768,108,844,837,511,777,339,403,505,483,938,463,
324,032,744,293,663,451,464,014,771,011,793,219,851,403,668,339,089,069,714,
936,122,759,506,281,630,767,438,663,015,562,738,406,775,363,446,357,291,559,
158,197,765,764,686,282,888,301,200,194,980,191,789,908,340,649,168,985,131,
744,543,946,635,550,233,487,773,040,206,062,656,055,324,259,935,834,748,719,
173,863,609,587,650,878,519,937,568,290,458,224,671,276,121,192,353,096,789,
996,200,875,500,373,836,819,368,005,456,478,554,918,954,576,344,936,376,633,
599,072,131,732,998,399,643,360,496,903,249,349,703,683,209,745,051,338,533,
374,881,544,381,719,261,870,208,851,052,338,101,269,389,956,209,178,922,389,
620,102,799,732,441,458,210,288,241,472,614,545,132,838,729,467,670,500,173,
111,482,104,056,676,185,329,544,359,807,654,212,169,480,719,832,702,200,734,
087,776,825,824,751,780,919,483,886,618,777,111,858,792,263,881,187,532,462,
102,079,801,309,213,054,640,522,272,566,835,045,685,374,690,627,184,731,915,
863,638,673,979,720,549,797,450,218,970,128,904,840,810,907,672,194,860,392,
168,455,384,967,482,656,275,242,711,082,864,863,130,312,534,642,973,763,649,
824,627,392,083,733,651,789,115,529,651,828,096,589,583,987,915,037,668,439,
543,129,053,144,920,649,302,475,406,402,508,411,622,443,330,678,411,029,693,
289,434,252,686,881,022,229,609,286,420,315,175,307,044,126,242,133,261,171,
142,458,374,848,601,331,811,318,123,906,218,543,439,848,904,965,679,363,812,
444,669,589,695,985,794,306,250,637,491,596,374,283,516,432,418,365,952,749,
994,512,793,977,606,538,639,718,565,807,940,691,105,167,652,619,975,752,267,
783,287,021,893,033,355,506,268,040,577,660,072,420,527,680,286,828,653,296,
187,643,604,191,216,105,095,659,211,602,325,439,478,189,224,708,098,195,378,
686,698,961,867,566,790,705,912,043,734,118,273,271,886,098,716,217,009,620,
757,476,942,438,594,892,644,477,032,966,266,873,491,550,008,115,676,063,485,
520,954,202,653,060,541,428,395,408,186,949,527,668,505,443,021,998,739,043,
305,615,778,016,315,670,081,513,184,762,473,528,354,895,139,652,652,550,244,
560,408,932,716,612,144,149,379,447,869,098,666,694,170,948,745,856,528,973,
335,302,259,133,140,672,418,975,373,149,630,876,191,074,144,950,383,259,747,
157,484,165,184,125,045,803,519,785,085,408,343,097,678,834,727,232,805,423,
775,595,396,422,423,230,660,184,721,218,955,007,329,516,569,581,732,693,111,
293,136,459,111,368,874,406,121,227,891,653,440,046,506,692,876,771,946,143,
166,960,945,738,025,813,765,572,327,804,650,321,491,852,619,169,095,517,792,
363,012,693,994,386,435,806,466,583,372,266,286,847,022,329,281,832,955,097,
955,700,374,454,425,042,125,658,017,025,984,119,012,908,737,568,686,488,013,
184,886,473,554,140,528,935,180,402,802,510,681,552,179,542,138,491,223,420,
719,794,325,345,015,009,903,048,150,024,711,075,539,717,076,665,203,371,726,
975,635,249,271,478,418,236,321,509,582,608,731,885,428,136,872,510,531,347,
621,774,824,282,501,073,668,804,783,031,127,593,519,450,086,486,619,445,768,
264,535,665,125,773,461,171,431,205,874,967,710,555,042,957,865,392,589,132,
174,655,220,201,959,556,758,846,818,306,877,757,666,320,745,309,718,773,996,
612,900,590,023,322,317,691,927,840,499,179,146,736,096,726,143,898,250,814,
412,411,965,330,245,241,533,886,319,101,155,187,078,650,745,070,316,538,309,
381,359,817,261,398,726,221,370,982,871,024,376,380,211,487,719,367,038,219,
422,862,588,718,715,224,109,739,512,014,945,546,500,831,812,416,296,535,807,
545,749,508,930,655,597,082,045,804,507,118,980,142,473,216,962,106,458,057,
634,384,794,241,664,341,727,387,718,645,087,566,850,615,012,473,067,593,996,
207,630,221,362,686,144,088,851,350,586,769,439,221,124,254,288,251,118,959,
584,694,863,539,239,543,341,044,099,936,280,454,149,241,131,816,299,208,707,
190,321,426,537,688,508,727,413,704,997,247,239,953,624,187,131,408,618,035,
520,098,747,517,561,029,033,023,667,593,884,089,817,619,632,606,201,581,014,
777,641,707,725,079,816,134,392,225,852,261,904,905,884,069,594,090,533,980,
357,013,586,447,050,112,433,091,196,263,133,581,114,345,893,676,861,903,708,
631,006,258,692,890,857,776,361,383,533,855,563,467,139,959,653,695,189,852,
344,974,237,895,143,980,982,944,793,555,104,343,326,395,969,468,720,274,416,
224,560,258,974,127,918,260,050,251,802,806,054,345,363,496,614,630,605,450,
635,889,380,549,001,153,397,400,582,256,768,246,468,539,245,295,362,213,789,
557,901,775,474,286,115,079,712,972,393,139,841,460,568,583,558,706,194,787,
208,677,195,988,629,943,363,806,355,197,862,775,277,514,729,944,657,566,128,
490,895,220,299,517,043,967,523,177,826,086,813,605,284,257,505,249,573,961,
529,347,883,805,750,658,208,703,297,567,594,503,817,726,862,503,339,041,923,
468,142,013,870,880,461,045,456,428,671,304,665,661,076,959,357,397,713,443,
782,020,641,747,315,453,358,896,447,747,557,416,537,827,785,503,188,061,123,
633,051,743,487,961,014,167,773,038,633,680,082,738,860,494,080,024,890,469,
650,069,351,785,159,867,646,534,123,189,397,443,723,088,543,998,226,383,973,
949,114,850,875,372,017,926,685,360,520,851,249,825,157,530,929,726,795,432,
107,337,396,157,047,085,449,460,015,219,789,701,530,453,634,462,569,979,980,
636,697,469,948,194,259,562,704,706,670,138,091,892,470,125,323,736,062,834,
121,290,698,001,484,649,940,288,888,246,428,375,143,939,433,798,586,620,937,
248,696,437,940,881,028,957,779,366,855,245,985,731,373,999,740,530,496,834,
748,680,925,363,811,111,267,469,980,336,345,308,034,756,120,382,711,246,494,
674,581,597,776,287,344,463,642,963,102,814,009,229,195,469,986,086,379,208,
567,844,082,104,073,381,741,738,247,615,569,249,358,883,975,879,452,533,852,
987,400,039,203,538,735,129,031,030,559,925,208,168,263,984,379,122,636,898,
042,905,192,146,883,596,536,630,972,855,272,036,390,297,457,418,818,166,822,
969,378,135,754,121,485,642,228,194,753,723,742,236,776,894,785,542,728,458,
929,031,362,126,297,534,797,188,831,513,596,437,330,292,852,851,324,866,754,
824,014,262,363,603,952,566,632,447,468,314,643,668,083,030,510,775,289,117,
751,046,007,704,807,991,067,376,345,780,111,929,654,394,370,502,630,664,345,
709,185,808,046,308,041,649,908,843,073,054,667,272,839,766,421,744,013,754,
082,349,996,602,506,029,759,953,391,357,491,148,850,457,457,810,419,515,065,
923,000,547,955,859,717,960,623,994,811,484,417,074,878,193,761,090,523,713,
828,125,218,306,217,340,508,493,398,360,799,767,444,219,514,666,910,747,128,
108,843,895,372,138,378,046,028,543,615,256,025,577,557,828,276,060,811,331,
905,383,647,538,312,125,615,309,797,065,807,374,689,958,443,492,007,706,158,
545,353,628,401,598,021,458,728,842,295,553,428,996,880,088,359,659,878,125,
885,047,364,270,243,879,766,652,470,117,579,989,664,979,192,849,511,646,920,
717,307,604,810,559,837,086,389,738,817,312,955,503,376,524,673,342,487,543,
246,297,770,958,287,535,781,845,496,367,149,063,266,766,585,469,888,786,250,
741,508,290,105,224,590,765,509,402,849,506,915,080,302,766,586,488,256,194,
703,386,962,103,303,306,786,801,432,924,205,503,991,096,870,660,792,023,041,
999,360,446,632,062,546,278,385,844,093,041,720,151,724,637,787,903,334,415,
817,239,084,107,603,863,577,616,567,057,572,370,731,634,666,951,507,157,093,
788,063,026,786,472,451,367,662,141,046,910,719,660,440,426,478,351,674,061,
431,410,313,268,587,391,101,924,036,488,530,412,556,142,029,502,187,044,069,
931,703,923,456,360,385,815,423,638,230,554,796,888,742,222,096,756,591,770,
075,716,974,575,594,939,210,437,138,549,713,428,704,960,354,177,222,453,989,
939,457,179,669,712,899,227,456,513,935,949,189,370,233,442,579,276,764,677,
810,568,101,249,015,001,505,868,391,409,090,551,452,712,322,276,882,979,490,
295,192,287,544,270,204,309,422,431,307,308,592,754,499,317,983,757,506,382,
299,299,112,416,407,956,431,946,464,409,296,505,879,488,572,703,051,702,681,
050,962,064,975,552,118,641,399,633,029,209,560,699,901,429,666,915,152,563,
276,887,891,713,068,678,111,767,616,101,771,248,589,466,067,003,377,586,059,
304,152,058,058,687,284,520,085,728,457,012,635,464,024,613,036,772,691,665,
021,516,126,748,213,565,389,997,634,681,099,223,428,546,555,550,854,115,019,
106,009,379,986,352,087,266,506,655,001,723,398,428,710,111,606,783,783,025,
059,220,642,964,398,182,686,615,282,949,184,691,292,965,734,708,625,711,121,
151,657,921,555,441,818,123,763,185,380,773,998,104,794,472,445,566,543,503,
485,196,597,460,383,516,310,600,990,429,664,360,077,772,818,165,623,651,882,
327,775,512,571,304,576,151,480,583,205,583,593,517,700,577,447,716,774,818,
031,046,107,968,975,722,053,599,527,383,045,253,988,702,115,329,992,080,162,
087,888,532,067,534,430,730,247,801,907,121,382,167,612,262,766,981,407,514,
137,333,201,205,602,905,361,540,512,954,640,372,669,964,813,479,495,920,935,
531,667,214,447,112,067,236,942,122,569,111,811,658,584,001,704,105,869,066,
526,923,991,166,335,574,587,305,790,043,997,362,002,735,358,991,086,666,976,
343,801,119,493,636,071,004,402,950,338,069,742,059,132,767,244,726,232,275,
288,729,711,514,351,341,943,841,187,289,215,079,325,658,117,783,022,410,596,
950,900,751,850,205,180,158,100,858,691,584,699,477,422,212,466,742,255,560,
062,223,705,733,747,254,929,581,096,906,560,262,190,232,651,447,248,220,280,
299,310,368,106,250,467,136,947,462,621,418,664,454,972,199,619,977,419,672,
218,078,768,791,762,459,125,105,524,807,607,167,707,412,724,365,345,774,101,
887,840,786,869,337,135,947,454,597,766,419,628,020,996,864,593,596,592,120,
557,075,815,857,768,539,041,949,821,503,774,462,560,299,558,566,310,271,618,
576,300,985,770,385,496,647,266,962,917,961,498,539,233,083,122,355,871,589,
056,087,778,025,699,709,427,629,906,540,323,412,326,757,624,066,852,784,240,
913,681,001,977,954,104,358,494,441,534,412,202,498,583,193,358,828,711,263,
477,537,273,979,058,845,180,656,433,861,944,117,966,690,306,815,540,865,567,
521,329,664,570,159,056,208,680,106,877,190,586,055,399,741,423,307,465,885,
909,277,014,872,925,571,372,000,504,770,915,252,481,801,620,126,165,596,250,
337,680,550,503,092,049,055,573,148,478,971,767,012,612,637,152,776,666,129,
857,475,224,791,659,271,957,620,638,250,734,990,117,609,905,087,123,490,081,
977,817,889,320,140,658,634,282,502,827,464,524,988,524,040,471,919,877,786,
086,327,114,045,779,416,384,562,655,135,465,275,317,475,060,980,828,621,593,
814,925,814,473,687,885,502,039,283,013,901,465,184,585,381,318,274,241,406,
049,581,743,304,777,793,616,230,168,044,642,965,338,202,615,709,736,767,920,
674,968,717,713,096,027,700,026,278,201,391,072,483,182,801,054,425,887,591,
037,976,663,277,401,518,235,919,124,868,435,291,235,549,791,564,943,647,914,
142,932,087,074,123,561,709,965,530,691,602,124,124,324,929,582,678,925,990,
838,454,790,868,997,909,708,802,269,186,564,981,902,291,486,100,722,535,304,
203,693,207,854,357,039,809,838,258,288,378,010,368,009,907,963,079,154,464,
183,560,514,570,831,513,849,707,152,750,466,985,448,617,216,790,234,937,590,
660,062,228,058,824,271,079,296,904,283,804,562,782,131,631,484,381,122,852,
699,014,824,859,884,636,800,850,162,795,242,908,808,387,444,827,632,314,783,
976,058,781,907,695,331,566,832,084,106,566,334,410,427,372,813,499,457,014,
188,020,231,882,658,979,537,122,278,298,889,897,412,955,770,118,109,289,295,
531,264,229,793,290,525,355,037,689,226,530,423,628,636,093,776,015,413,118,
649,628,095,033,771,356,962,874,483,427,348,245,873,017,831,993,069,108,410,
008,365,785,062,468,600,981,083,952,608,283,139,820,953,031,162,781,059,090,
774,351,288,593,988,153,713,111,668,183,104,717,295,611,270,795,801,930,063,
941,021,235,187,351,916,154,406,799,765,512,840,096,727,614,927,655,666,198,
399,448,955,489,772,543,500,161,686,472,003,129,574,993,271,413,345,836,407,
902,228,300,479,090,045,524,568,397,779,386,122,473,490,078,526,647,052,265,
498,798,057,499,674,987,818,939,202,691,129,939,036,735,506,433,548,510,727,
900,055,050,626,714,764,078,657,002,191,255,632,072,855,652,869,520,006,977,
485,763,187,387,819,672,549,938,628,869,100,254,443,313,244,136,175,003,337,
952,933,596,383,661,206,744,251,429,516,940,190,544,247,669,364,411,998,152,
462,226,457,444,743,455,962,298,624,010,280,381,994,960,445,595,456,870,423,
819,897,839,370,015,450,955,650,285,563,741,911,713,332,522,151,909,925,842,
474,663,587,786,092,162,434,229,980,895,995,116,492,845,476,537,536,073,130,
871,195,381,658,194,052,636,088,951,746,092,115,711,265,866,915,708,540,231,
357,442,258,853,651,646,856,504,317,782,039,748,679,077,938,144,525,860,831,
756,615,474,003,235,847,422,545,375,553,274,840,445,916,013,784,728,315,638,
997,282,241,222,384,775,110,851,720,795,428,780,726,843,009,390,218,102,713,
230,479,747,800,832,689,675,459,581,503,258,184,978,471,221,873,488,923,401,
183,226,622,247,453,935,031,874,234,528,651,258,574,000,409,154,442,063,199,
244,939,556,230,906,555,791,722,116,998,376,240,629,548,527,859,852,672,551,
287,144,401,802,268,948,202,354,837,652,802,231,131,198,313,846,966,619,037,
246,401,531,573,362,531,490,947,842,237,418,216,539,017,164,506,387,913,054,
354,265,547,878,901,697,067,923,124,314,243,807,666,002,734,668,329,926,858,
783,261,188,503,037,871,364,141,112,547,764,157,001,656,248,447,013,311,429,
954,701,148,133,044,656,216,750,139,996,458,713,646,865,498,168,365,513,178,
853,628,504,698,955,223,822,026,643,638,066,863,913,586,304,870,319,428,490,
426,242,837,025,465,406,033,152,024,929,216,504,392,863,748,893,058,537,862,
531,269,454,716,955,830,297,104,325,110,589,948,024,130,120,555,755,148,688,
232,721,177,403,885,440,581,127,661,094,026,754,990,201,809,514,319,835,010,
504,216,869,311,543,532,037,709,168,119,706,251,984,147,101,567,371,219,048,
598,748,890,778,478,566,452,006,809,782,678,897,070,364,798,675,019,972,061,
906,307,038,524,573,600,780,490,728,282,814,672,346,130,573,437,025,694,548,
662,510,074,016,549,514,570,371,080,224,478,245,076,181,767,638,336,416,307,
058,627,044,525,545,928,345,195,258,834,950,707,446,173,533,342,333,232,783,
660,014,150,114,884,931,343,940,325,789,507,508,481,221,117,935,348,744,313,
383,088,474,048,775,983,263,786,317,139,523,355,997,956,615,037,656,246,528,
446,967,093,743,494,494,907,506,393,900,427,203,946,368,369,903,892,353,314,
662,276,201,155,722,862,480,547,156,827,734,277,536,925,299,089,085,617,226,
343,335,803,690,483,613,207,159,441,718,095,222,568,393,306,866,743,965,825,
504,601,979,010,870,921,150,142,042,794,249,431,596,667,851,756,866,705,149,
693,964,249,473,246,014,470,837,218,609,882,281,267,985,203,620,872,614,883,
696,590,973,680,647,626,904,411,861,828,059,053,516,022,548,331,181,829,289,
806,224,930,733,187,749,126,998,996,146,049,020,947,069,989,126,904,770,305,
176,687,703,891,197,699,570,825,249,144,142,336,796,401,598,609,996,968,666,
876,173,654,989,829,626,319,932,741,489,298,352,402,109,144,083,863,538,856,
249,650,109,995,306,020,986,735,454,481,138,743,756,423,788,877,275,632,803,
539,604,100,751,976,971,836,008,476,865,114,009,011,354,086,588,084,728,723,
724,842,533,888,002,204,021,481,217,541,225,026,283,268,647,200,452,487,913,
136,184,896,568,735,623,486,091,311,772,554,258,060,036,730,620,241,006,122,
169,020,009,523,106,515,871,386,747,969,327,608,210,036,214,341,776,755,562,
508,639,730,320,706,121,890,870,199,202,004,533,393,901,286,867,237,112,924,
839,325,441,260,057,319,311,789,378,604,818,847,114,824,029,116,773,239,606,
450,066,374,607,503,481,257,877,902,908,186,073,345,538,551,672,274,079,918,
401,627,375,946,155,435,668,286,488,573,339,964,766,993,520,799,410,139,808,
369,978,456,314,844,620,417,771,313,773,437,460,690,377,532,156,301,360,096,
802,016,690,429,723,469,603,105,763,033,869,141,954,171,587,965,781,734,170,
961,587,030,503,668,724,495,601,676,606,905,169,780,092,127,443,258,782,005,
731,156,889,140,991,476,223,848,422,379,884,417,721,307,618,328,464,127,011,
552,387,626,228,618,023,572,671,613,109,515,196,980,672,288,037,349,124,167,
572,196,215,747,558,160,960,454,006,992,030,019,144,480,001,870,295,116,775,
124,967,465,001,675,106,886,273,274,282,557,386,161,005,521,967,401,477,642,
989,223,075,104,743,536,282,634,850,829,891,442,905,429,071,627,088,633,281,
144,281,930,964,778,235,483,864,838,499,029,960,176,406,756,165,410,428,334,
463,001,450,161,208,661,292,416,965,034,084,592,125,126,351,868,943,907,380,
544,424,035,124,220,521,180,542,773,043,183,683,498,287,063,853,928,841,837,
865,168,502,275,177,234,652,658,303,462,529,617,406,434,072,723,185,956,537,
704,549,716,569,479,773,660,304,610,298,247,219,396,176,438,912,826,098,185,
210,705,519,184,533,728,173,126,138,516,785,190,835,911,578,925,734,461,289,
976,462,483,351,961,825,753,359,604,395,725,318,005,358,995,933,679,480,764,
411,552,235,123,939,389,885,336,554,371,330,188,365,465,773,515,277,471,781,
392,350,129,343,648,572,820,189,261,590,797,423,784,320,091,042,417,323,974,
157,860,579,630,924,619,628,380,273,115,150,302,311,021,961,699,578,849,670,
608,671,664,680,389,086,938,073,639,545,456,064,604,522,208,602,761,801,613,
185,767,294,632,803,922,943,896,492,611,426,948,279,766,653,208,135,329,611,
761,115,202,763,429,593,238,634,357,848,214,477,244,655,150,812,557,452,757,
855,029,104,291,901,591,045,452,129,218,435,573,673,395,148,613,999,288,904,
476,923,249,993,664,518,622,780,293,920,134,924,874,997,335,645,873,070,263,
856,833,137,468,113,586,371,701,751,227,426,952,814,622,328,785,462,874,695,
758,678,500,161,382,328,402,717,990,148,351,931,732,675,732,096,354,544,391,
964,000,159,027,670,686,925,206,091,113,163,877,837,194,557,321,611,863,721,
238,585,179,657,127,739,268,098,257,909,372,023,978,751,002,198,216,552,611,
512,239,965,377,497,990,920,824,583,830,886,243,202,612,312,967,061,773,804,
243,397,142,614,675,510,417,538,805,241,916,820,337,153,612,950,632,356,726,
842,805,042,520,147,497,175,406,551,104,089,657,263,163,237,062,960,010,846,
150,007,596,244,694,161,379,117,698,977,423,573,483,852,434,450,573,982,698,
188,036,372,120,764,324,680,745,205,878,260,349,919,971,859,097,064,106,159,
360,836,953,514,656,991,702,049,553,747,088,774,293,403,166,584,939,662,163,
504,468,957,373,434,974,706,182,344,346,664,480,854,083,492,422,668,990,325,
854,960,849,072,491,194,168,257,929,555,299,203,132,135,080,124,450,592,637,
175,395,228,805,322,403,484,673,327,404,477,407,011,417,069,217,492,907,921,
958,206,858,873,416,893,832,267,206,745,921,727,876,759,448,359,116,568,023,
886,567,723,332,067,486,428,920,150,872,888,871,809,674,781,958,979,466,282,
825,063,559,784,560,077,666,082,608,380,161,376,212,073,443,916,278,574,267,
852,032,364,172,415,487,995,094,296,396,379,164,125,083,660,151,204,327,693,
730,361,474,339,313,421,424,109,933,240,356,167,992,988,367,379,668,597,188,
109,713,667,098,330,624,883,466,156,917,959,740,945,540,508,717,808,374,801,
149,240,563,105,400,653,601,077,756,513,941,865,610,645,463,843,420,417,856,
357,134,597,410,099,288,511,412,001,114,858,605,491,071,889,090,226,539,678,
063,086,245,121,391,575,357,047,398,190,087,258,825,510,100,449,633,306,366,
999,842,246,455,149,358,256,964,063,338,000,141,872,917,955,470,361,736,832,
789,875,044,996,612,027,785,824,713,779,850,433,536,611,518,634,758,503,392,
353,049,424,796,773,395,424,406,229,418,667,534,590,904,165,960,085,970,179,
588,768,603,746,607,128,865,175,498,852,525,966,153,666,444,517,578,934,988,
111,102,170,328,677,406,205,289,138,908,155,134,819,063,455,666,687,307,778,
912,433,169,331,785,457,020,484,890,572,521,576,634,969,622,671,896,377,820,
671,662,696,598,409,288,802,562,785,985,026,751,093,669,032,680,791,294,846,
176,620,140,333,608,657,356,503,562,052,848,811,280,802,421,548,505,546,019,
372,003,537,178,454,454,012,388,969,883,763,335,596,508,545,746,737,229,759,
620,598,288,050,191,283,439,878,969,260,063,818,472,452,236,381,864,568,698,
283,623,384,699,635,372,801,289,105,755,445,777,037,947,642,298,648,378,552,
673,303,550,264,889,820,388,192,141,119,704,368,853,312,731,936,913,597,723,
862,921,100,458,698,430,002,142,788,998,321,417,118,856,945,196,187,794,313,
494,624,670,389,885,128,715,131,928,905,528,933,825,397,438,109,597,385,068,
678,410,272,530,371,195,273,661,482,193,356,255,220,952,247,929,718,950,487,
982,017,301,829,240,612,636,253,091,220,585,240,808,320,316,285,818,133,239,
854,453,755,815,024,465,486,579,831,417,906,696,437,385,228,120,477,382,491,
745,659,741,762,721,577,377,887,009,580,246,289,879,830,410,674,109,326,340,
102,586,590,541,439,159,477,910,538,896,293,127,540,043,022,428,520,093,438,
522,652,598,289,352,618,721,659,079,416,379,832,682,021,380,070,498,641,509,
726,884,761,451,486,410,306,868,668,628,333,446,357,534,399,241,288,864,463,
487,960,875,673,529,959,231,900,779,169,635,494,568,925,607,776,421,820,196,
638,575,437,461,860,655,162,087,127,702,985,537,416,312,966,393,281,501,778,
350,774,843,352,973,017,328,336,516,595,420,739,595,595,653,898,581,868,838,
978,165,299,574,734,020,375,289,307,080,737,280,326,860,514,304,074,531,060,
861,473,572,864,608,257,162,033,143,440,091,454,539,069,589,119,218,498,641,
708,642,310,724,962,209,377,645,600,219,497,006,216,139,048,524,246,998,662,
128,766,878,747,326,063,190,960,099,625,999,303,884,024,341,506,980,011,175,
237,066,164,135,404,456,078,588,083,401,554,884,197,666,057,001,398,587,855,
218,773,271,853,048,422,038,908,470,917,293,690,790,326,491,454,324,331,835,
199,150,133,109,912,105,152,331,599,982,801,545,685,870,920,358,432,534,180,
516,604,614,308,926,736,161,227,749,062,895,794,136,432,579,418,605,947,173,
724,882,862,675,382,070,718,999,766,063,081,252,577,271,099,578,260,867,770,
688,531,730,866,558,683,304,703,028,181,677,409,395,843,276,846,932,302,736,
136,821,901,554,241,218,515,567,597,099,599,140,348,416,601,841,161,675,298,
297,838,560,152,585,854,840,766,308,501,384,474,080,603,603,741,487,351,590,
015,310,876,205,947,952,463,787,100,601,043,814,711,672,940,340,857,230,411,
934,618,770,335,145,170,432,911,434,662,061,611,856,933,677,398,152,925,700,
210,811,877,428,792,922,566,827,841,193,833,793,607,817,543,343,813,577,478,
590,239,304,891,948,621,391,725,088,390,126,991,136,664,051,723,797,188,691,
294,780,714,446,988,165,411,500,808,197,657,281,544,959,536,567,214,687,212,
012,965,380,502,458,167,959,785,560,565,247,470,470,829,977,352,700,862,513,
148,703,881,400,285,401,395,309,579,521,986,729,018,012,276,670,275,769,068,
300,292,933,141,218,078,711,762,567,942,547,008,377,275,139,585,291,268,306,
277,063,254,017,083,309,276,221,650,829,834,787,408,708,861,895,559,744,305,
776,473,594,107,592,994,201,533,914,984,870,121,940,187,529,247,048,385,952,
637,836,319,081,264,715,453,044,005,584,773,473,907,867,340,523,741,033,797,
639,586,568,020,964,811,557,586,480,001,099,607,936,446,491,772,988,206,546,
140,029,145,556,934,337,034,594,234,854,924,180,308,890,384,605,286,401,266,
398,840,551,259,249,572,108,305,684,914,607,094,946,617,313,000,926,728,114,
606,006,496,857,267,641,562,982,342,171,863,864,765,471,696,954,122,707,196,
028,103,649,040,508,669,618,171,098,997,898,400,494,705,937,446,681,591,943,
409,345,379,541,368,222,174,897,698,722,233,029,291,048,033,303,691,231,330,
539,049,920,644,360,242,541,878,543,515,174,954,845,513,705,572,807,529,577,
418,659,442,660,746,824,439,303,646,455,412,541,861,508,144,599,761,490,309,
423,343,484,781,997,461,476,695,679,264,184,750,835,405,836,265,130,319,012,
763,706,676,797,449,673,557,724,649,713,024,573,009,782,210,372,058,296,388,
999,433,653,081,199,350,632,204,347,314,152,092,837,968,656,028,264,850,971,
651,790,490,490,149,685,832,816,902,436,979,134,054,004,571,034,110,496,905,
348,826,621,659,289,289,956,176,140,077,625,820,014,262,544,975,026,809,776,
110,109,471,998,884,527,793,817,884,073,386,901,182,429,972,518,273,286,820,
846,255,865,396,625,689,436,552,388,515,760,990,321,442,285,079,042,718,596,
784,212,142,011,935,973,150,320,787,249,625,253,149,183,285,640,618,771,541,
952,347,638,190,995,821,949,489,073,699,195,932,566,190,734,875,407,326,856,
177,039,764,992,856,755,320,882,943,484,505,118,379,165,586,238,618,214,599,
413,623,758,352,904,605,670,641,862,478,946,559,291,235,201,920,736,978,610,
226,754,483,175,252,583,962,679,706,948,683,240,861,953,334,252,054,821,366,
967,722,534,784,402,954,828,301,651,770,079,948,069,606,073,914,825,160,956,
124,693,316,900,270,586,326,988,592,965,602,815,546,208,956,205,354,195,889,
364,513,192,852,443,553,822,155,266,824,761,313,068,497,125,176,916,295,908,
594,163,068,473,353,533,433,333,509,479,229,893,512,714,105,487,895,134,035,
043,249,308,532,467,935,600,821,436,244,432,838,103,914,770,813,228,743,115,
591,704,259,142,164,393,881,895,226,423,662,490,296,710,474,695,046,890,436,
780,286,918,561,790,205,899,242,274,114,301,826,492,519,178,866,754,918,991,
646,715,546,543,386,961,125,151,876,273,056,332,669,683,700,603,400,092,755,
565,358,062,715,980,819,809,747,906,229,150,280,321,591,334,408,632,170,722,
825,917,060,636,907,193,869,897,986,350,223,511,398,800,970,384,026,144,343,
950,325,499,070,248,508,822,403,082,782,460,166,204,162,398,340,701,108,392,
880,331,391,546,344,506,848,828,546,621,754,109,977,074,470,205,292,644,264,
146,569,983,076,611,736,866,949,474,238,750,940,766,456,874,691,451,817,341,
594,457,678,585,969,153,038,345,516,535,389,009,915,155,399,698,662,795,580,
523,595,137,556,333,877,451,965,137,955,048,312,354,266,553,156,958,466,826,
289,131,903,099,337,801,278,795,307,636,274,450,874,984,398,074,986,341,070,
011,890,195,914,641,713,074,464,699,270,272,139,363,728,729,114,173,319,343,
860,054,723,491,061,543,292,249,504,506,126,636,250,830,664,572,359,660,018,
834,783,212,614,009,461,890,683,647,655,745,551,829,994,151,012,424,425,335,
590,259,343,189,853,287,349,890,306,205,446,196,998,394,535,368,086,626,640,
844,574,351,932,254,549,964,814,991,792,051,726,163,268,302,764,337,451,002,
736,053,852,062,961,449,674,424,113,032,044,977,615,888,909,414,853,117,880,
200,160,382,204,643,533,676,618,351,760,640,374,355,176,395,457,499,917,890,
749,886,680,201,040,659,889,900,662,841,734,677,667,708,943,425,061,288,289,
550,158,314,647,649,703,781,789,540,701,954,859,282,581,971,903,686,828,383,
791,762,377,953,258,730,444,016,057,951,265,421,125,079,577,184,311,463,827,
650,831,011,347,831,291,818,526,816,624,226,047,585,112,511,490,329,706,006,
877,808,689,446,761,520,806,703,342,115,513,374,255,768,267,847,716,600,043,
823,931,753,534,702,277,922,746,232,552,524,456,280,775,815,872,157,058,225,
185,624,871,048,867,637,147,080,619,179,501,714,787,133,613,926,347,396,540,
567,980,155,127,282,343,010,007,410,921,768,164,608,359,135,950,905,872,035,
548,250,993,776,159,344,055,860,408,521,882,492,821,227,105,610,298,422,253,
234,750,009,682,421,604,894,183,160,848,122,311,728,476,124,028,837,396,239,
418,829,900,720,832,315,134,422,908,735,466,377,451,079,672,571,326,781,467,
105,343,911,229,902,391,902,650,188,492,484,349,795,387,722,133,175,523,981,
840,960,991,639,282,996,015,319,053,068,393,322,887,126,874,799,376,611,283,
400,912,434,922,884,228,829,209,664,933,451,848,852,315,759,585,314,117,343,
309,811,104,002,301,776,069,239,171,412,106,926,506,852,984,218,111,065,306,
214,208,161,152,931,701,534,711,248,294,946,855,919,727,206,218,998,867,775,
225,558,139,038,292,567,994,363,172,073,170,029,016,928,169,643,247,818,488,
554,514,113,573,922,402,273,642,473,765,034,846,020,858,029,616,702,935,601,
149,053,146,788,587,648,495,034,974,322,247,861,309,760,480,693,023,997,737,
874,178,613,862,524,508,278,750,807,079,028,273,844,901,923,325,816,120,224,
193,536,008,644,323,689,151,125,748,459,862,760,262,268,375,971,550,498,485,
601,872,301,331,804,362,017,019,424,420,494,692,630,226,772,491,684,913,610,
295,022,598,224,304,680,687,453,562,934,702,673,525,212,656,229,991,668,106,
772,859,637,967,412,475,909,164,929,762,115,000,802,727,890,128,811,507,908,
995,642,852,837,095,006,091,064,948,623,659,643,761,434,414,320,994,948,962,
389,589,431,508,505,434,457,967,642,060,591,822,576,473,997,345,464,281,067,
690,346,725,731,161,829,982,869,769,976,078,059,917,723,216,619,773,258,192,
275,428,873,412,111,109,798,013,462,040,247,664,173,792,931,881,280,439,667,
633,370,095,903,917,771,293,303,042,258,771,379,153,587,520,491,232,433,996,
465,284,641,222,526,299,237,262,612,956,311,682,622,021,594,065,006,675,551,
477,633,311,088,656,149,087,934,882,428,534,361,894,013,539,521,700,343,733,
674,532,283,461,191,307,105,943,398,688,007,647,501,288,606,620,903,741,380,
681,380,756,078,652,163,726,922,441,295,457,033,283,692,853,048,467,759,296,
504,553,377,265,717,112,854,139,489,663,506,050,261,873,657,292,063,104,002,
521,095,119,029,744,307,568,370,026,678,156,728,768,910,431,148,911,958,639,
306,588,544,974,383,353,240,472,923,881,874,599,334,295,081,931,067,330,542,
600,056,317,300,840,439,193,160,621,493,301,319,813,358,688,126,580,269,986,
989,971,322,647,138,549,829,195,520,160,427,973,186,845,266,774,997,514,749,
554,360,185,492,546,082,860,495,484,018,100,502,396,604,224,180,390,119,932,
997,406,687,320,961,621,240,334,552,291,919,557,833,116,346,507,840,812,839,
058,122,381,587,295,485,174,934,256,013,230,111,474,837,393,156,262,640,417,
872,040,080,468,878,984,703,466,424,741,188,654,133,027,453,468,362,677,182,
406,113,155,986,064,128,204,210,311,383,346,920,346,333,770,847,044,686,371,
048,205,285,377,097,165,565,811,455,856,827,071,848,022,148,371,100,745,676,
432,033,245,697,935,759,191,988,667,621,507,666,836,674,257,824,525,215,814,
111,878,906,155,119,334,034,973,371,318,318,583,486,458,594,678,612,817,588,
085,795,805,759,625,474,752,393,396,006,431,767,574,228,393,506,406,993,193,
417,742,809,506,349,191,327,623,864,701,431,135,489,232,468,833,558,488,953,
175,927,627,790,256,167,610,946,539,499,756,460,232,093,591,275,488,918,544,
847,224,748,612,118,593,170,071,186,252,290,608,604,615,632,281,971,920,560,
901,941,441,079,234,476,890,001,564,338,829,704,206,814,681,338,761,008,235,
527,923,432,694,030,411,814,055,531,116,925,312,221,608,296,664,541,456,623,
686,987,709,546,061,596,135,466,121,636,944,493,407,882,657,737,335,610,569,
198,384,931,967,802,567,516,298,518,987,634,583,762,302,673,768,988,092,854,
476,299,044,387,951,208,151,212,718,875,660,144,898,625,360,253,869,125,179,
227,324,315,409,627,082,439,330,861,951,822,765,028,781,465,534,897,656,445,
208,085,738,766,108,307,459,401,766,953,400,137,250,696,155,954,988,925,377,
321,003,872,179,789,064,904,654,309,592,671,666,199,761,845,951,875,059,136,
660,108,963,915,519,377,827,051,222,978,125,265,401,477,015,749,974,315,698,
417,094,344,018,093,356,635,799,484,943,717,835,415,942,118,885,981,776,923,
455,649,594,997,036,068,851,319,484,411,500,729,828,625,476,958,291,915,058,
481,979,692,148,888,799,444,272,542,895,571,604,082,855,406,939,715,352,333,
976,631,849,933,862,477,237,017,001,507,299,336,343,679,496,904,077,991,799,
453,982,741,715,595,247,744,831,595,217,016,414,006,923,353,904,574,542,272,
406,234,239,259,263,177,828,572,721,759,832,747,993,979,690,922,108,484,887,
020,600,815,402,458,366,455,485,098,232,445,675,033,372,220,553,161,096,109,
116,058,219,749,538,401,583,019,084,344,053,480,993,928,160,787,418,362,811,
141,861,763,300,408,965,375,788,165,990,308,064,653,662,995,521,503,034,408,
869,690,517,623,453,835,401,588,210,006,567,383,071,706,806,706,267,979,607,
126,222,470,272,471,511,262,890,779,352,635,659,160,067,951,035,291,955,613,
780,207,430,623,933,955,576,870,409,134,479,151,316,163,809,798,950,657,433,
521,593,021,903,360,423,328,990,627,859,743,558,110,321,232,048,587,749,971,
702,237,275,202,140,624,543,535,927,158,178,585,870,018,141,386,664,100,592,
917,984,874,268,720,712,456,258,287,696,811,003,664,740,843,373,756,786,391,
103,974,562,461,941,989,799,889,641,633,125,251,770,361,776,595,628,174,249,
648,326,719,505,798,002,647,698,810,405,051,442,435,988,175,423,211,083,344,
130,953,635,985,773,335,422,021,609,513,335,750,609,266,520,604,392,448,840,
659,569,296,915,766,109,534,570,612,962,604,811,418,927,522,377,248,540,262,
222,808,622,928,437,246,282,179,949,829,739,479,594,729,108,520,541,781,947,
463,251,099,696,765,293,680,817,879,402,253,194,490,682,295,945,198,576,562,
501,858,862,309,139,062,336,595,196,295,181,545,533,110,687,591,604,004,571,
016,547,654,393,802,152,241,883,112,655,677,770,044,628,058,029,803,348,659,
107,972,736,689,296,888,968,554,591,162,507,602,484,195,201,946,789,745,590,
612,483,150,725,547,864,694,652,963,149,910,776,862,900,895,124,066,683,227,
876,078,996,510,450,305,206,040,741,319,919,351,982,743,456,932,810,318,272,
781,979,789,218,118,169,692,802,265,916,425,862,002,005,435,654,939,645,115,
791,564,029,498,854,033,100,733,595,732,647,130,832,963,313,570,925,370,139,
462,793,386,909,077,824,917,134,947,346,115,055,311,840,599,319,286,795,112,
976,347,296,309,282,569,185,254,812,745,409,084,676,062,787,814,730,792,003,
281,788,492,448,004,608,795,810,851,633,400,112,052,460,039,553,694,173,760,
368,044,390,484,617,408,175,171,122,678,626,467,209,147,474,269,653,912,791,
643,222,031,917,801,734,560,286,107,861,007,751,519,090,807,986,168,192,557,
214,840,872,024,476,816,185,040,023,540,231,140,769,730,418,409,957,556,140,
779,940,467,538,597,059,066,552,839,977,463,223,780,618,627,853,663,186,044,
239,301,139,920,569,354,018,096,780,925,596,280,483,849,538,281,118,650,866,
739,911,619,376,406,068,515,424,619,155,760,730,454,518,329,304,665,775,573,
773,960,220,510,737,231,871,747,697,017,120,522,576,132,917,259,148,913,477,
561,207,745,849,225,153,997,365,764,440,290,082,780,095,142,864,570,141,400,
937,971,566,410,163,989,259,062,922,457,380,709,232,431,607,359,186,221,114,
761,314,851,762,070,314,888,515,904,975,479,579,022,330,535,474,597,890,980,
764,495,267,148,965,752,689,689,161,355,794,217,600,369,070,684,355,503,408,
432,588,127,712,139,926,668,395,003,317,998,692,511,353,844,934,439,281,025,
681,461,605,252,452,141,460,717,829,938,578,411,579,394,773,647,681,977,700,
918,718,442,360,210,386,095,748,880,902,921,241,839,245,974,395,315,537,008,
904,917,095,696,050,119,401,598,878,467,960,815,384,404,895,809,888,859,868,
356,604,012,890,462,550,447,820,287,519,954,894,648,982,411,296,473,596,356,
351,084,684,488,083,321,335,400,439,462,440,896,420,029,073,783,603,195,272,
172,449,945,800,693,738,653,093,763,596,445,470,068,649,324,524,541,721,727,
685,034,246,639,223,339,578,821,310,934,260,721,345,999,240,461,158,738,306,
374,689,887,625,431,956,707,457,254,876,436,576,868,537,000,335,497,158,375,
835,680,852,348,240,382,106,631,510,793,299,318,094,243,000,086,237,753,057,
035,083,547,466,997,067,271,410,165,269,542,178,259,214,388,085,992,675,040,
197,436,145,170,559,568,848,939,909,973,096,051,594,878,680,337,776,396,170,
324,888,962,552,081,620,553,242,895,558,535,176,111,756,591,287,869,279,868,
818,917,589,605,508,259,737,760,921,540,221,656,476,387,660,527,506,080,054,
702,534,571,898,389,018,963,626,557,296,533,747,559,876,769,872,967,694,613,
405,003,869,498,950,925,312,498,438,024,648,173,845,866,339,632,814,481,650,
039,126,741,981,009,376,696,895,197,631,024,331,512,649,518,687,540,351,651,
030,699,225,182,808,057,817,930,674,856,724,103,542,757,453,614,265,645,678,
335,829,677,367,019,051,746,074,512,490,784,886,524,441,788,122,709,323,100,
201,135,035,895,319,279,734,561,555,544,898,151,363,051,971,907,111,700,949,
437,922,325,131,289,440,356,935,946,030,218,957,647,695,013,255,335,167,224,
280,822,765,916,472,547,365,945,015,123,610,780,837,721,084,051,921,441,707,
823,685,517,958,071,013,200,348,600,297,927,341,314,071,008,225,861,277,703,
802,660,394,917,029,665,076,800,241,834,225,324,366,633,953,518,438,189,473,
977,607,442,998,831,088,501,007,693,246,000,050,756,393,640,907,839,640,096,
325,290,477,237,075,309,667,953,689,453,199,697,106,560,197,536,097,987,680,
529,060,954,737,153,436,860,853,643,453,030,216,644,272,661,407,014,894,327,
067,099,036,313,191,327,353,399,777,529,312,969,667,752,115,311,366,352,934,
108,990,832,457,674,709,481,751,153,285,511,863,038,464,131,223,903,635,375,
518,292,561,985,893,694,840,251,947,535,937,693,192,725,870,336,469,236,856,
251,215,965,746,099,075,448,392,071,033,577,692,579,017,696,030,053,417,420,
856,411,128,451,898,490,244,290,029,968,596,156,788,909,784,534,606,264,441,
285,164,604,519,587,050,166,087,794,498,286,634,327,553,572,227,751,855,576,
208,719,693,172,121,647,434,596,346,780,093,739,498,413,095,120,100,305,698,
513,525,409,565,036,332,275,282,707,181,781,978,973,693,463,674,011,746,579,
637,113,204,474,268,183,578,256,248,424,068,944,480,350,066,754,320,117,202,
521,311,556,576,751,307,717,361,735,328,189,067,872,010,360,781,464,393,638,
605,380,827,074,269,382,456,618,363,864,614,517,021,764,596,373,429,027,929,
841,324,995,178,253,260,921,458,785,257,511,344,332,806,590,668,498,314,061,
722,759,835,756,711,266,504,949,213,608,598,245,427,451,700,245,110,456,057,
937,450,611,153,076,789,749,373,526,683,344,385,669,494,909,211,359,014,225,
228,753,342,974,722,556,168,860,821,980,853,691,931,071,940,951,196,805,912,
525,803,398,981,709,007,572,534,504,901,814,807,588,220,799,198,343,989,010,
890,189,798,389,424,879,130,226,516,493,000,868,415,310,784,478,170,059,071,
877,776,341,902,762,108,096,590,732,781,907,713,595,705,711,388,024,171,824,
556,741,946,242,102,463,580,221,804,848,893,465,434,059,918,713,646,457,180,
807,214,991,300,874,427,720,981,981,378,829,895,428,728,190,175,321,011,106,
688,528,855,322,865,718,269,047,754,539,143,084,267,753,227,811,593,566,661,
423,724,597,542,177,219,227,098,264,499,172,548,240,490,555,850,340,454,298,
193,757,385,321,225,929,239,894,566,240,082,309,528,310,722,093,423,211,219,
187,317,802,496,378,993,167,619,604,584,092,911,094,111,677,496,365,100,440,
872,536,019,177,081,507,585,456,121,764,531,231,036,219,950,301,691,580,442,
756,185,018,318,783,738,402,027,953,580,194,254,174,111,044,063,215,131,155,
115,225,620,244,346,392,091,321,472,350,702,449,922,624,947,348,583,695,366,
158,865,854,393,494,461,851,811,879,653,494,761,011,174,785,012,609,192,499,
015,956,452,867,105,453,835,019,358,672,213,792,206,007,777,453,506,237,880,
894,705,155,136,419,288,453,576,930,854,074,182,136,071,774,521,067,819,564,
170,326,027,521,591,907,971,281,682,264,275,415,919,806,361,170,756,279,487,
697,173,807,726,619,194,567,715,927,858,467,050,637,073,887,079,736,744,681,
985,231,660,407,483,164,907,122,888,049,998,653,690,588,631,111,723,724,965,
900,019,639,925,372,847,308,530,579,360,633,285,116,570,252,364,264,420,740,
546,015,084,432,692,705,118,029,619,328,940,643,202,461,866,901,517,744,615,
547,715,834,499,098,806,942,522,584,845,556,301,155,326,183,458,229,971,851,
466,913,378,647,893,763,828,194,119,666,068,063,219,364,694,911,183,804,295,
471,328,299,368,612,341,761,344,129,894,033,914,376,413,821,839,941,822,177,
627,050,815,706,214,667,797,436,956,228,195,027,430,799,497,830,114,817,324,
240,317,009,994,026,108,083,725,483,597,785,754,814,697,274,658,983,539,232,
381,422,995,147,620,330,299,361,358,176,937,635,348,316,460,071,460,050,942,
901,131,728,995,669,692,115,747,837,997,166,368,935,476,235,303,727,177,088,
576,554,452,311,150,452,962,622,286,499,884,609,594,649,724,842,410,896,031,
537,845,356,068,149,189,178,860,502,844,622,543,073,396,410,939,758,688,954,
024,864,371,301,455,639,514,693,308,892,716,252,079,332,261,156,104,829,456,
712,593,995,710,809,132,929,740,366,007,705,140,246,889,758,864,109,334,587,
967,168,122,921,060,593,566,252,260,863,208,925,274,887,300,044,923,556,879,
411,523,209,601,694,627,982,200,241,279,356,910,291,416,057,025,271,843,294,
726,416,743,800,506,749,263,011,093,441,923,359,221,722,761,067,815,537,655,
778,605,648,726,100,291,820,030,536,965,517,912,980,920,902,063,385,216,843,
321,261,029,611,118,321,044,318,800,234,135,018,437,857,249,275,083,181,201,
488,052,443,489,049,844,428,448,181,125,324,540,139,055,170,060,177,659,579,
294,590,729,223,363,579,031,701,610,429,895,079,198,234,846,685,558,451,231,
088,297,115,763,798,488,554,709,796,750,013,234,243,329,401,241,314,300,827,
804,261,510,948,036,221,051,110,969,612,552,802,626,417,407,329,730,729,654,
540,386,797,328,526,215,259,849,341,793,306,916,377,577,546,213,991,443,619,
814,445,477,625,669,083,773,110,302,323,769,734,252,833,546,480,521,411,432,
305,206,733,178,570,117,726,093,803,005,389,818,852,507,351,836,528,882,659,
022,437,129,739,020,041,983,678,431,550,044,867,179,674,869,950,711,161,802,
322,228,098,197,416,210,531,637,488,489,353,072,830,086,444,515,231,593,227,
164,627,027,012,034,239,893,071,478,013,513,394,675,834,647,909,780,624,477,
870,798,925,329,375,841,151,387,436,373,493,868,081,111,726,312,875,566,238,
346,392,006,251,832,815,223,273,752,659,876,124,568,002,736,161,000,835,792,
350,984,925,301,650,279,759,617,492,930,190,731,646,887,554,109,780,837,866,
323,978,166,294,642,920,636,706,507,323,733,505,359,391,351,590,362,682,887,
272,682,704,562,134,087,490,674,233,567,701,280,784,564,154,494,299,331,405,
239,611,370,133,435,909,177,996,289,962,488,910,189,040,051,605,039,596,755,
701,888,867,096,263,493,134,376,801,736,726,864,709,663,306,580,621,942,547,
028,254,014,993,748,469,972,191,509,553,844,447,395,317,590,825,053,412,354,
093,570,566,715,026,389,755,059,114,915,559,043,792,589,591,399,807,655,076,
093,940,491,996,560,900,804,383,042,524,359,604,665,310,614,048,884,658,080,
228,534,737,500,405,093,053,275,531,011,306,984,567,637,161,383,916,735,974,
836,202,598,985,014,543,120,644,968,883,386,149,808,709,399,060,703,105,448,
120,779,716,441,507,639,446,630,068,923,474,313,376,113,939,321,427,919,828,
295,878,708,241,402,615,170,483,717,333,570,994,965,404,454,248,902,701,464,
601,927,391,507,961,873,302,949,643,028,136,378,534,054,379,168,032,884,807,
855,629,450,836,641,927,715,406,685,317,085,406,055,165,943,049,074,219,070,
065,627,672,080,090,236,529,881,697,784,654,163,117,722,818,287,167,391,074,
298,901,283,191,498,934,448,942,364,814,248,823,104,763,811,312,830,572,551,
273,856,178,000,809,136,781,092,727,563,765,953,099,964,244,563,098,678,187,
607,141,222,043,863,613,261,765,236,915,255,577,681,143,691,503,850,830,815,
532,678,747,644,066,361,582,711,668,534,226,992,954,480,921,352,217,264,373,
930,481,297,173,057,514,269,194,491,258,270,224,558,820,036,061,030,371,408,
866,344,577,608,064,962,691,431,603,669,020,369,811,959,222,332,895,998,752,
371,290,756,244,901,952,375,147,970,208,595,132,680,903,767,047,996,822,155,
364,927,587,961,767,096,381,175,419,026,411,467,749,157,526,095,727,308,304,
118,505,462,013,829,954,995,388,201,086,988,789,476,217,537,246,427,822,322,
435,622,937,244,168,119,051,280,924,677,956,073,295,766,459,304,163,182,494,
408,701,705,051,880,939,688,613,618,404,612,205,604,276,680,703,568,777,593,
840,264,294,031,714,250,104,287,187,214,764,395,702,651,011,964,049,382,054,
086,518,845,745,722,888,888,589,536,643,996,331,609,318,200,268,070,896,820,
715,772,894,299,224,580,020,292,874,763,942,739,801,087,334,507,388,986,996,
426,396,564,752,009,250,686,322,557,952,442,450,395,750,809,479,412,312,515,
908,680,428,797,530,579,354,427,538,327,554,022,677,172,987,620,523,826,494,
531,856,162,777,742,245,161,898,135,898,845,199,485,445,309,801,665,590,917,
953,182,275,895,372,531,546,017,312,368,539,443,099,658,538,881,637,792,289,
900,450,477,297,766,005,433,983,994,921,965,149,734,919,293,654,231,464,799,
282,762,835,933,068,998,716,604,797,640,969,323,423,924,442,847,118,227,527,
102,457,138,479,557,308,649,250,019,340,784,876,727,040,139,755,237,283,261,
665,711,844,780,297,306,385,820,811,381,378,768,326,619,927,013,496,370,657,
438,677,975,404,760,359,324,700,267,422,342,232,533,361,990,640,530,414,201,
743,335,208,990,183,158,657,735,766,549,467,176,530,787,395,921,213,215,599,
865,858,557,725,735,655,806,285,302,078,905,367,647,123,323,245,612,630,811,
538,639,070,322,225,124,269,275,011,804,899,272,266,886,286,364,051,234,013,
092,510,074,077,690,666,787,742,567,734,164,541,249,020,376,078,152,328,841,
143,256,715,095,959,621,149,666,490,684,408,053,271,955,038,382,696,146,521,
393,133,226,861,544,686,633,645,394,289,741,966,982,502,336,686,234,072,204,
537,977,315,200,638,327,516,660,873,640,142,432,058,712,216,221,444,293,274,
177,989,962,035,948,759,451,254,072,070,487,899,644,818,170,412,253,188,329,
262,369,232,444,397,092,435,271,626,207,049,800,969,158,497,369,142,842,033,
439,224,500,844,766,909,361,150,890,879,940,402,226,869,591,208,194,094,103,
682,412,434,390,972,512,679,339,118,398,356,315,536,372,424,822,373,515,392,
416,233,623,723,944,733,545,719,575,839,357,037,271,164,163,816,404,247,856,
432,484,624,205,304,800,747,869,543,998,075,295,402,297,871,381,904,465,886,
241,159,102,041,301,811,967,611,399,317,398,208,478,955,421,444,567,989,263,
280,011,228,388,492,951,977,479,432,094,734,578,882,586,619,270,699,325,853,
599,346,811,669,985,262,910,500,668,320,827,978,268,848,992,778,428,002,676,
038,498,185,312,831,460,078,355,816,884,760,273,616,078,896,450,042,976,179,
187,793,468,755,193,923,523,754,618,322,807,098,357,998,051,581,702,864,178,
837,783,255,306,435,569,223,818,268,963,709,908,043,465,568,818,065,507,124,
236,679,109,984,231,919,659,217,682,613,542,146,001,088,008,735,360,094,554,
362,538,969,956,635,301,169,459,750,381,268,110,850,977,435,862,086,254,784,
527,901,372,502,697,390,262,630,397,254,467,596,455,713,460,230,256,722,466,
439,433,615,575,780,970,903,890,648,201,156,078,654,475,346,367,782,320,916,
232,346,056,173,806,297,861,247,435,700,798,528,945,397,047,719,483,780,867,
979,746,232,899,434,573,476,143,017,836,950,623,830,631,813,219,494,002,687,
137,542,688,702,866,675,690,373,668,912,987,235,237,234,979,019,832,621,173,
378,811,220,020,575,394,107,670,722,466,887,121,945,852,193,293,274,764,216,
657,300,076,281,194,580,103,619,223,346,821,318,876,515,954,060,315,294,430,
153,730,335,217,000,797,448,919,220,251,071,572,854,148,564,528,292,585,762,
116,895,367,766,078,688,178,364,767,108,636,793,160,273,853,533,173,849,568,
427,624,685,764,350,652,893,236,400,433,360,582,865,223,905,013,425,855,810,
319,521,789,097,740,470,255,815,707,149,826,011,193,061,057,393,646,191,561,
975,205,987,285,492,876,961,885,626,571,085,032,409,289,685,546,377,655,083,
135,828,215,023,346,218,128,092,827,729,356,506,491,767,986,927,610,011,393,
995,465,040,282,520,968,079,519,315,385,609,632,479,230,607,832,033,700,614,
584,653,654,900,236,333,792,154,419,654,582,083,602,575,443,043,472,713,654,
987,162,211,366,337,614,755,221,530,752,663,593,548,441,109,523,442,007,856,
521,656,837,383,265,808,478,729,838,190,577,572,000,632,800,745,623,390,054,
441,361,026,247,775,345,506,286,113,420,774,458,445,098,669,352,567,148,282,
600,180,525,217,108,040,095,742,617,802,562,828,518,519,743,150,027,484,911,
263,760,138,269,529,828,085,833,053,720,924,616,855,168,332,524,608,759,657,
465,498,544,025,370,606,167,434,530,038,847,257,596,024,602,749,703,424,254,
920,015,119,842,169,283,153,471,286,999,279,083,475,684,191,825,369,678,718,
185,330,073,922,257,075,514,263,719,354,546,013,667,824,728,128,819,624,499,
007,665,367,749,962,991,361,015,351,943,673,213,698,403,323,231,115,597,230,
027,953,433,577,482,225,651,780,859,109,100,126,014,471,147,851,402,777,487,
611,024,604,448,923,067,688,015,183,244,409,660,925,832,207,577,859,374,478,
535,344,445,511,532,224,980,633,649,799,955,719,305,079,300,431,197,616,632,
498,299,232,586,569,095,321,740,361,640,191,270,412,045,269,236,934,520,631,
671,687,181,951,658,125,563,658,848,477,492,204,904,074,259,588,843,009,559,
364,407,409,284,672,222,866,324,232,667,788,294,299,071,748,086,636,712,785,
262,714,506,260,792,123,296,353,428,624,981,039,722,499,917,972,213,289,998,
771,359,039,632,143,208,701,791,856,380,482,487,342,474,228,071,726,714,083,
394,647,651,712,996,937,825,925,810,351,272,689,610,312,186,372,314,915,776,
846,568,996,920,090,839,805,224,244,664,365,203,913,586,231,632,450,930,135,
549,723,602,044,360,255,416,216,104,941,939,040,235,177,144,380,665,681,438,
370,596,067,038,964,623,797,561,953,383,804,798,803,637,360,947,487,498,261,
398,138,374,055,858,012,192,657,154,746,923,899,247,999,613,324,971,911,103,
864,434,011,327,011,543,582,849,957,131,849,045,834,381,836,968,078,944,824,
986,662,315,560,363,943,812,773,975,617,992,535,876,475,617,556,601,957,748,
376,736,596,104,490,139,848,416,470,140,866,723,322,340,456,644,991,112,914,
522,374,152,854,097,972,906,602,032,382,046,381,676,355,230,104,384,123,244,
621,044,753,045,725,670,876,101,958,225,292,328,472,894,175,651,899,714,344,
226,054,205,827,830,509,944,257,697,704,136,035,549,138,188,320,674,963,713,
117,348,237,921,120,536,567,184,962,816,612,187,996,786,765,246,684,146,969,
955,518,428,420,093,563,000,669,654,239,105,566,735,319,673,106,868,770,393,
436,216,265,078,913,964,828,231,618,474,564,261,213,424,963,272,792,861,007,
679,212,735,380,927,699,744,729,893,471,245,728,552,456,120,093,634,190,122,
239,594,020,974,966,221,032,737,298,432,228,255,335,775,908,868,870,219,490,
227,629,983,462,369,852,573,465,182,266,961,949,217,198,581,277,286,725,607,
166,726,418,539,269,084,245,320,497,302,306,469,613,032,717,183,906,449,161,
529,434,486,791,413,757,723,910,419,834,267,101,864,611,651,556,325,036,242,
120,499,773,778,289,215,832,358,146,801,434,286,237,544,447,344,639,250,562,
805,436,217,805,235,382,602,990,764,177,980,946,454,952,729,494,946,027,652,
481,497,784,824,072,493,525,840,297,565,963,445,207,563,899,568,543,951,707,
499,759,203,367,786,670,526,890,922,988,244,712,059,042,688,660,365,072,696,
543,487,125,564,159,221,514,641,287,506,547,925,809,081,533,089,608,160,197,
562,316,452,680,444,366,130,913,381,673,599,663,403,524,604,854,245,263,342,
605,385,809,638,163,702,857,394,195,569,603,360,688,515,740,751,943,275,662,
559,819,947,097,106,213,602,159,913,880,302,915,734,473,795,422,077,669,632,
622,187,886,927,530,472,991,533,575,885,772,823,792,037,383,324,462,493,966,
535,129,070,449,463,089,305,343,895,485,132,072,309,291,888,693,082,517,646,
473,454,000,936,934,617,264,169,699,797,547,723,235,701,942,141,971,945,640,
547,183,764,610,455,924,331,714,987,598,999,178,717,911,005,804,959,121,732,
605,026,906,617,713,015,797,431,600,978,286,706,917,517,924,805,363,344,070,
930,592,371,465,211,402,212,712,341,755,820,663,796,793,046,209,557,338,794,
003,424,789,173,652,530,525,742,309,535,417,627,898,256,237,791,634,841,750,
043,791,305,615,371,625,073,198,915,565,400,473,941,130,403,338,123,761,385,
234,541,068,985,495,412,659,550,277,238,417,951,479,615,907,475,988,357,041,
035,170,309,837,902,897,589,640,866,262,327,056,763,098,638,184,664,863,806,
565,476,033,916,502,006,739,556,283,171,175,285,425,794,906,437,096,628,458,
964,167,607,493,165,072,060,682,976,918,449,088,464,964,161,332,369,829,531,
124,312,175,839,305,566,742,151,783,926,417,901,059,518,460,428,454,875,320,
455,613,270,263,132,345,561,081,936,148,026,179,213,468,628,211,492,969,108,
982,604,161,439,070,333,367,630,346,419,573,787,871,631,407,054,707,534,791,
189,805,959,462,449,010,057,935,238,903,749,792,225,921,523,667,155,825,582,
267,391,556,958,396,804,833,196,023,450,489,475,721,221,806,328,314,708,405,
222,971,982,749,693,128,795,025,445,195,645,626,377,656,942,128,973,276,867,
858,474,220,112,557,580,057,706,604,290,244,099,296,112,678,577,100,674,671,
235,769,099,137,377,604,718,061,473,518,443,824,245,622,754,043,097,470,969,
978,483,288,056,198,668,178,619,086,260,770,667,843,638,481,745,709,714,237,
078,712,268,151,038,500,455,651,742,313,116,945,075,076,931,797,450,255,355,
978,512,972,559,177,975,705,567,010,736,531,485,399,160,675,869,702,738,607,
290,111,608,869,916,279,033,392,350,924,206,042,283,514,837,528,345,076,511,
070,050,044,221,931,158,913,210,808,855,346,132,007,735,397,774,126,107,806,
379,454,386,130,992,655,567,810,297,818,455,883,452,363,497,916,760,347,161,
442,867,980,378,025,930,611,738,776,399,540,741,059,986,415,749,228,858,179,
163,295,322,686,861,283,820,405,612,696,654,693,444,576,360,165,643,549,394,
061,658,291,138,299,778,872,196,813,300,031,089,981,856,351,678,467,748,733,
223,734,511,114,268,262,437,026,762,736,378,899,251,867,271,878,715,019,620,
499,893,738,326,288,917,213,679,235,497,014,617,313,456,549,472,835,507,002,
716,941,534,865,539,705,538,781,646,879,863,300,469,569,782,667,305,616,898,
116,518,106,271,823,007,939,113,086,147,042,514,479,282,123,523,067,482,164,
975,508,741,100,598,875,961,130,318,178,360,769,094,686,325,998,680,783,326,
034,459,478,621,779,171,622,154,526,220,357,690,815,333,285,553,628,417,738,
214,476,381,965,132,475,296,967,553,261,342,800,854,703,168,666,246,877,514,
975,791,262,686,456,887,442,226,197,837,958,392,502,756,157,351,361,544,395,
306,667,561,379,984,981,209,015,561,383,243,160,949,536,230,810,238,974,005,
875,865,069,928,386,332,662,374,051,670,242,300,306,311,808,431,383,894,092,
923,944,235,461,975,482,158,935,456,663,899,934,671,807,381,542,187,952,258,
170,229,558,288,037,778,898,172,790,457,770,045,054,814,161,255,282,855,702,
408,160,687,247,920,991,234,355,263,690,209,677,461,805,304,922,084,181,077,
059,685,998,984,094,728,146,006,540,668,135,068,685,906,332,175,671,567,404,
477,439,115,236,270,698,723,106,793,483,674,357,474,407,414,048,350,785,833,
486,920,613,363,547,265,300,906,549,355,582,389,775,614,840,702,052,741,928,
694,164,556,541,764,765,667,218,494,659,311,988,216,597,145,015,403,524,820,
148,818,792,113,413,268,676,120,744,352,514,475,340,149,823,792,771,309,967,
720,384,442,837,628,461,604,961,072,956,746,345,589,198,482,842,720,176,163,
607,333,324,075,124,249,429,639,505,811,482,913,765,784,799,441,581,696,353,
071,205,677,594,898,566,394,900,841,969,262,273,475,470,385,283,296,838,484,
367,357,275,396,577,523,649,459,228,614,248,708,631,941,611,799,593,564,886,
275,313,831,856,704,855,486,720,902,740,079,170,163,335,432,293,155,473,158,
994,629,585,121,516,315,974,823,422,202,919,342,175,582,877,921,237,714,322,
528,515,363,764,472,134,430,710,069,523,163,530,210,366,689,498,968,355,276,
540,465,062,773,400,049,703,415,907,944,300,087,139,322,617,975,928,439,757,
773,276,393,031,165,740,828,716,007,712,029,817,286,709,217,695,397,610,357,
264,141,532,778,929,066,485,502,740,412,935,152,818,722,817,244,678,922,195,
273,809,444,770,788,649,987,176,590,130,143,693,682,320,794,306,308,718,793,
958,558,670,115,880,815,691,186,767,653,768,584,477,700,575,845,551,803,831,
198,047,597,934,437,158,461,194,487,060,280,391,302,927,239,040,637,377,297,
257,905,526,040,209,256,704,600,607,639,351,781,135,081,817,288,981,568,970,
870,717,935,779,531,250,676,638,874,226,276,800,010,520,210,886,811,827,693,
305,484,376,663,774,803,979,425,715,956,068,377,008,731,345,911,584,120,542,
010,866,211,580,628,412,810,135,307,002,161,961,873,214,911,920,210,226,618,
193,324,198,003,843,238,106,543,518,280,744,917,887,770,960,530,035,558,234,
685,720,725,521,830,996,056,192,290,727,769,564,968,801,199,903,765,273,725,
942,943,872,109,959,156,000,076,252,568,296,139,214,133,719,288,592,133,540,
341,615,031,063,756,981,938,049,579,701,296,481,852,898,316,274,191,290,730,
874,556,841,492,107,555,013,138,030,421,706,716,484,699,297,872,120,017,707,
850,036,334,673,197,810,544,138,869,607,695,864,854,086,597,539,305,373,259,
670,752,340,055,369,722,633,845,201,864,163,332,655,263,507,341,823,838,663,
225,059,816,144,226,385,270,626,468,735,987,311,298,758,180,977,396,181,394,
786,693,069,647,715,021,231,147,455,953,487,115,973,118,404,748,608,961,951,
627,247,198,732,983,453,800,576,930,889,319,233,989,935,817,132,234,658,336,
295,211,327,661,273,614,877,213,221,944,437,893,098,971,054,161,810,185,923,
904,579,711,938,336,306,994,902,268,512,062,936,731,926,509,987,825,227,830,
411,294,624,120,544,069,398,479,248,872,350,003,886,432,722,885,740,822,048,
285,124,152,955,368,236,176,050,299,132,008,234,067,816,898,270,211,128,049,
724,476,534,865,848,196,918,328,653,726,308,674,978,826,236,837,290,649,771,
645,667,109,460,873,517,382,660,220,260,555,550,121,400,985,452,538,442,402,
359,239,928,849,018,750,517,922,965,784,751,769,022,561,674,540,149,289,291,
325,544,926,954,757,888,087,665,550,419,049,414,055,476,445,745,586,669,029,
418,826,200,944,504,075,729,510,946,530,971,715,423,115,333,837,834,168,069,
504,802,565,665,332,278,773,632,967,130,628,944,468,996,488,258,410,637,392,
303,422,321,453,552,089,642,318,357,089,587,548,290,831,886,248,297,358,749,
968,710,917,527,605,821,461,074,677,947,103,230,496,651,067,028,727,052,059,
455,484,085,040,556,237,321,602,170,640,420,970,275,701,319,144,653,154,083,
147,660,025,332,002,946,371,081,772,367,996,347,345,067,947,107,746,830,787,
169,674,428,224,475,864,862,370,609,664,960,138,253,157,885,200,298,797,023,
493,543,586,295,085,427,193,773,714,145,339,060,078,892,308,802,293,527,830,
310,442,939,855,732,235,061,388,042,349,796,816,394,535,741,715,532,084,234,
698,424,789,581,502,865,083,305,720,509,718,360,935,397,196,663,269,692,838,
949,219,099,443,964,319,009,007,718,239,629,282,206,948,546,882,461,771,571,
196,882,371,583,632,344,998,861,854,743,114,279,564,071,315,140,225,786,431,
234,943,535,035,942,426,611,480,238,810,560,708,102,991,260,572,733,023,259,
565,386,184,027,997,672,254,698,930,700,069,795,741,890,175,030,810,421,622,
644,788,987,364,860,427,801,901,109,189,223,824,889,585,985,437,459,353,968,
537,523,434,572,849,484,104,453,815,704,680,816,641,289,099,470,680,537,007,
548,275,127,301,985,756,851,046,350,465,270,803,537,115,143,177,659,773,511,
341,253,129,964,471,645,581,904,698,800,974,126,100,817,908,702,244,278,408,
341,121,199,967,986,547,304,608,082,787,461,012,935,478,801,685,302,467,278,
537,607,503,042,761,222,315,949,401,826,995,818,856,324,886,225,893,992,533,
753,524,418,913,734,265,323,977,901,076,328,884,825,154,729,139,154,973,336,
356,140,579,510,138,136,278,061,328,561,617,592,700,906,722,556,878,488,780,
799,431,182,491,167,540,611,553,529,279,676,176,443,224,911,077,486,686,005,
867,929,644,372,078,078,764,001,398,996,384,775,835,355,272,209,385,217,060,
283,550,706,162,520,969,066,119,408,024,648,250,456,537,479,117,864,728,135,
565,208,479,072,928,873,188,527,196,554,848,025,321,008,560,985,254,647,653,
386,294,639,663,278,257,408,650,922,677,318,967,682,601,457,579,499,649,011,
174,196,544,616,627,958,652,478,401,885,188,057,269,174,654,929,568,399,392,
142,030,291,938,895,672,580,575,353,190,841,728,673,787,315,191,209,413,155,
091,544,626,389,008,560,760,214,125,408,120,897,813,865,951,040,213,779,282,
992,819,595,245,066,040,103,723,231,630,570,742,710,985,122,980,483,821,169,
703,377,773,329,623,851,400,223,485,109,271,493,860,646,949,251,952,265,401,
747,832,791,829,625,660,302,224,881,148,001,413,659,196,393,154,932,250,687,
337,150,071,879,038,423,912,529,141,789,881,515,916,805,101,640,206,952,114,
332,799,448,201,952,774,742,210,860,628,129,314,130,717,019,189,492,011,247,
246,668,432,374,392,929,642,249,030,542,411,196,772,764,864,933,294,840,750,
433,383,421,259,412,469,953,929,442,529,212,298,705,855,167,340,612,548,434,
760,558,643,970,380,471,332,315,937,181,978,796,984,032,543,719,841,641,435,
687,339,042,398,886,123,986,290,994,043,138,079,647,772,355,033,626,197,687,
159,365,880,087,375,507,448,043,107,215,764,166,836,333,628,794,343,424,924,
482,023,528,155,430,959,434,898,981,748,044,855,152,780,768,283,876,569,107,
844,131,038,629,222,254,196,983,702,123,062,706,927,730,776,731,330,653,825,
969,027,293,034,167,415,731,532,522,831,828,080,270,019,942,731,025,541,006,
662,754,034,807,368,436,696,303,087,776,709,812,105,690,467,592,186,675,431,
815,593,647,256,892,012,354,006,840,330,010,676,019,591,994,458,306,402,181,
655,903,830,108,246,552,850,173,517,876,895,143,883,304,721,284,889,910,910,
466,894,694,133,542,716,289,447,826,446,244,794,976,638,309,626,477,012,123,
538,527,283,889,745,214,735,194,982,792,400,278,267,264,102,405,261,564,481,
979,391,306,411,494,655,471,537,084,438,460,420,072,621,261,993,276,611,940,
258,669,907,137,356,649,816,885,737,612,895,977,098,325,766,894,471,111,521,
185,245,767,203,069,168,897,055,494,197,329,508,892,035,478,516,292,747,958,
140,540,881,706,489,230,053,670,315,534,095,026,492,751,100,628,721,357,085,
876,271,329,764,336,967,499,895,782,462,394,872,632,224,478,757,191,826,262,
618,362,717,620,132,268,125,896,597,253,511,628,575,856,650,935,322,731,697,
307,982,911,875,751,326,319,046,930,762,861,823,871,155,911,934,129,114,051,
876,189,756,103,749,734,215,462,852,719,694,886,069,984,748,438,967,062,607,
359,833,258,399,526,111,016,087,110,575,108,047,298,479,305,451,494,582,625,
466,179,893,357,048,588,597,980,579,397,069,449,153,246,752,431,076,491,344,
039,698,257,870,226,152,802,448,919,119,270,641,306,862,602,634,938,484,267,
479,700,243,564,782,680,507,129,698,710,971,798,988,103,801,245,632,788,244,
412,583,704,845,154,355,559,608,753,109,610,517,185,005,690,056,135,882,807,
823,966,579,538,550,079,698,453,921,682,783,969,444,852,156,962,670,141,530,
455,018,630,872,196,644,289,145,277,625,099,824,513,357,604,995,026,895,725,
945,968,012,927,951,702,251,930,776,144,310,219,010,080,935,757,605,099,738,
433,468,262,313,543,533,619,183,978,423,927,689,707,369,074,143,239,822,052,
185,898,762,362,702,692,388,400,071,950,843,317,063,016,646,974,656,630,066,
738,895,489,254,625,081,453,177,038,880,587,661,703,694,219,804,641,282,565,
322,856,088,278,830,305,476,771,679,022,695,433,607,385,186,971,762,477,454,
366,624,413,969,687,561,491,932,916,443,933,977,516,842,886,403,768,171,904,
161,564,406,108,706,084,625,525,400,302,634,220,520,480,804,677,549,638,279,
533,789,144,022,453,859,222,311,727,015,953,718,550,846,586,211,913,927,517,
203,341,741,717,676,564,680,676,564,139,991,626,268,448,719,475,850,484,789,
640,503,284,308,368,517,049,520,386,463,120,788,123,222,342,449,118,025,787,
435,518,293,771,685,489,580,322,203,271,883,312,256,842,984,444,597,472,771,
558,125,135,114,149,116,951,445,992,896,430,911,302,681,802,198,666,316,320,
752,699,605,982,846,263,894,889,792,184,237,800,812,472,074,270,922,229,087,
399,805,253,937,499,106,583,505,884,074,033,812,686,966,553,353,059,006,361,
665,351,888,268,784,975,759,950,552,998,712,758,829,504,233,145,702,605,451,
537,602,562,674,580,961,549,422,696,581,281,933,398,185,910,487,610,884,468,
581,051,757,402,989,027,234,599,530,157,070,555,170,591,530,256,083,188,066,
856,380,429,861,248,457,758,519,456,330,010,677,799,971,463,637,176,981,256,
010,980,149,157,753,380,260,957,343,540,943,262,121,941,742,914,702,068,365,
111,501,172,172,667,020,022,425,124,086,524,262,966,483,594,324,052,527,322,
310,031,387,362,678,813,101,760,398,157,521,410,361,136,805,909,893,222,906,
338,095,612,409,951,262,602,779,595,411,738,785,971,691,117,947,985,175,516,
898,312,408,264,454,494,474,311,159,498,130,185,434,485,683,984,048,725,579,
014,304,185,654,048,269,269,577,366,455,129,977,979,884,858,489,752,549,424,
336,427,944,806,654,051,227,167,609,693,401,598,989,745,136,796,493,785,229,
253,003,319,537,609,464,169,458,956,521,917,493,923,074,314,907,503,883,829,
101,207,679,692,051,620,993,304,484,738,421,471,406,792,337,224,051,157,044,
282,909,803,306,947,850,507,780,378,629,485,711,926,105,484,937,012,477,164,
070,795,232,418,951,885,155,845,236,255,441,494,157,416,705,001,487,872,750,
262,240,187,053,891,211,751,833,261,832,773,997,637,024,548,264,584,010,742,
534,284,928,964,565,155,635,751,865,198,054,286,967,867,280,176,142,095,011,
967,093,835,203,392,163,197,387,418,301,588,989,139,001,771,572,614,809,655,
945,700,787,363,324,291,595,871,901,977,688,519,811,625,937,332,070,943,751,
478,531,615,679,807,312,633,472,719,901,715,476,120,286,845,222,909,488,674,
761,617,145,749,947,611,179,475,827,468,844,787,730,730,840,819,543,266,716,
156,495,241,416,372,611,444,282,613,807,253,452,484,003,935,418,502,378,938,
529,890,660,169,970,819,570,173,244,946,591,331,924,962,669,869,317,161,936,
712,887,263,265,154,083,417,220,475,528,257,073,165,862,752,612,562,203,293,
690,621,308,965,074,224,423,662,734,619,675,141,170,424,362,043,477,789,051,
709,847,238,277,122,816,205,014,259,368,709,034,437,694,280,785,474,176,273,
759,345,903,929,176,128,711,515,212,295,410,322,928,499,161,046,530,353,390,
265,847,483,081,861,972,423,263,611,260,336,120,269,335,322,931,295,906,986,
119,078,395,089,535,898,436,066,078,101,634,056,937,697,259,272,514,540,090,
121,408,156,689,666,777,270,347,809,011,499,033,894,495,788,815,164,199,979,
456,355,173,830,868,734,623,700,597,501,107,147,333,156,731,666,195,864,942,
421,757,367,732,727,463,457,802,113,590,910,285,571,891,829,452,779,223,936,
233,023,123,182,200,966,134,580,212,434,401,741,108,618,178,865,461,103,105,
524,591,211,575,295,806,962,124,599,581,784,374,112,098,107,169,303,016,737,
438,001,237,416,963,526,130,398,563,438,948,663,525,586,778,550,749,954,769,
762,323,641,860,831,703,122,014,397,480,525,305,149,543,675,312,679,322,265,
479,607,975,891,705,146,023,857,314,773,351,178,920,557,552,333,026,359,259,
766,378,922,989,915,828,942,403,326,762,191,482,624,367,887,473,714,046,275,
385,712,789,550,377,696,104,483,513,246,035,697,703,114,744,137,273,209,937,
472,486,041,841,897,375,768,091,208,081,578,711,265,335,712,732,113,738,740,
360,094,553,270,032,856,198,148,040,288,983,809,977,695,514,437,104,732,330,
265,031,912,658,878,697,872,573,102,573,572,981,442,657,777,030,224,765,479,
550,283,984,664,259,836,032,760,135,570,073,576,432,772,438,235,176,146,774,
699,148,748,307,424,988,388,998,357,952,225,401,378,700,643,353,885,206,449,
883,420,538,687,590,055,064,999,669,889,719,291,968,541,438,699,228,201,044,
581,341,351,624,227,833,853,435,124,961,573,988,134,667,269,672,817,581,903,
548,275,009,541,275,764,767,230,361,052,910,101,599,851,726,997,931,032,698,
537,943,209,530,070,252,707,784,085,170,635,546,752,621,293,616,768,978,835,
932,965,195,564,784,684,025,862,420,461,739,196,071,601,113,198,421,244,700,
204,730,690,473,903,702,450,913,694,418,414,651,255,577,853,692,208,336,965,
602,275,180,579,383,878,650,943,939,179,590,310,768,676,295,560,672,777,435,
161,194,657,280,129,372,671,893,846,115,979,434,756,020,731,345,153,009,839,
184,525,540,583,405,431,053,215,684,003,138,040,112,416,519,376,606,618,261,
637,387,695,723,507,851,661,354,021,540,066,414,158,364,067,089,273,444,000,
064,233,750,151,238,766,851,484,288,861,460,068,884,775,058,516,079,037,517,
672,361,381,209,489,030,887,130,090,441,325,520,778,602,760,670,608,543,833,
508,129,666,744,958,739,116,906,015,290,990,603,929,246,800,428,210,723,160,
582,904,167,154,280,562,744,808,355,335,567,486,098,620,516,608,125,977,089,
037,760,509,093,859,120,653,591,507,534,435,063,651,912,880,650,385,372,960,
455,011,057,842,108,465,953,354,450,977,394,312,038,552,994,004,575,650,038,
514,159,983,865,697,030,101,653,090,999,558,543,912,806,426,223,324,853,955,
960,549,446,864,652,572,626,325,203,917,506,283,251,780,058,915,079,336,267,
769,600,135,928,704,375,816,099,258,763,364,171,776,273,080,168,048,900,480,
819,601,180,318,498,982,056,412,550,862,661,085,692,903,508,654,068,299,499,
049,276,969,162,532,856,404,534,062,985,745,664,183,825,441,863,574,956,668,
136,728,744,170,078,456,601,135,891,080,131,847,430,226,617,257,312,693,379,
937,471,605,665,578,246,731,553,594,023,806,963,930,326,549,687,835,174,099,
989,377,698,810,197,511,523,186,078,615,835,999,980,678,801,984,599,994,082,
373,912,581,666,898,142,460,861,184,659,720,515,424,994,020,359,009,803,101,
235,714,471,878,579,575,766,887,379,731,251,716,450,588,647,794,716,719,252,
049,961,860,281,802,612,116,327,364,933,695,041,778,583,015,031,322,511,893,
313,388,048,764,315,827,529,113,964,852,475,183,826,500,735,625,373,382,659,
907,063,192,473,622,208,938,852,773,583,165,285,495,399,952,863,133,482,224,
743,878,857,386,865,914,287,088,801,469,502,273,328,286,794,706,320,019,341,
517,487,808,991,819,911,314,225,124,510,851,808,852,383,891,410,285,852,544,
454,256,369,049,604,995,021,711,851,176,115,212,526,363,459,763,782,200,689,
054,992,902,475,346,021,152,535,558,776,842,678,181,894,644,289,904,079,337,
462,488,897,917,788,125,630,906,455,029,200,517,871,250,746,550,982,166,794,
237,332,808,002,219,333,873,006,593,739,459,195,900,014,829,160,519,369,631,
630,230,616,780,169,028,090,331,623,754,454,624,774,388,718,309,115,726,048,
980,568,045,956,232,870,286,990,309,920,752,575,132,650,753,016,602,673,230,
873,781,519,340,054,302,403,627,424,473,670,102,843,251,446,524,692,957,376,
384,244,666,966,694,649,670,151,988,156,517,269,860,603,107,394,998,332,474,
226,774,586,772,784,546,675,599,627,898,423,795,030,064,449,806,415,456,283,
291,340,236,072,809,483,914,266,034,459,099,672,672,303,272,505,349,243,708,
574,451,094,340,771,417,561,101,403,265,251,415,852,975,600,797,002,339,705,
171,113,608,729,567,301,167,986,727,664,612,496,210,991,701,745,957,360,382,
031,771,865,421,412,477,036,472,943,612,549,097,405,906,589,965,420,899,380,
179,373,430,501,177,594,639,857,380,028,602,846,047,189,013,016,044,996,743,
258,423,859,164,913,789,133,553,516,883,417,522,299,302,338,526,204,665,518,
819,689,630,995,856,739,564,916,089,402,366,057,312,512,950,997,476,784,936,
010,519,977,995,728,226,371,896,462,919,977,050,235,225,988,309,945,701,534,
439,403,044,390,250,217,380,704,888,289,156,703,345,974,919,900,120,664,425,
866,391,662,793,057,034,383,230,376,876,586,829,020,911,313,660,072,585,160,
919,180,945,064,223,962,060,377,295,999,849,979,715,803,993,801,811,088,814,
835,249,523,413,673,531,642,377,968,401,464,206,186,386,673,880,356,398,695,
456,768,651,898,800,482,022,105,630,243,113,889,830,635,274,309,087,982,958,
062,074,994,409,411,826,160,224,535,004,380,940,716,093,527,988,691,618,804,
836,440,435,209,522,179,449,519,594,044,678,297,924,062,082,189,781,355,540,
430,070,110,070,893,800,052,125,260,091,080,113,511,469,505,646,027,860,783,
749,862,289,073,208,046,861,633,821,353,119,354,563,596,573,268,128,493,844,
925,552,127,427,567,383,428,961,147,972,310,571,712,375,859,859,276,514,152,
062,923,847,485,217,089,447,553,210,456,985,039,148,955,011,212,081,599,388,
822,181,265,838,431,285,844,813,360,723,890,250,764,636,166,465,287,443,154,
972,296,679,102,953,318,658,719,264,046,908,512,086,791,802,635,021,481,505,
122,321,247,645,550,419,348,575,026,901,170,488,361,423,356,378,893,144,861,
856,671,537,295,738,836,778,522,144,048,260,457,034,223,678,054,686,758,964,
705,178,825,131,300,756,296,318,521,309,738,047,394,478,251,057,252,477,643,
586,306,781,424,539,617,830,840,517,861,651,100,266,598,472,271,261,572,024,
674,353,958,889,905,530,303,188,224,533,259,446,598,394,070,561,744,297,242,
037,670,020,675,325,882,079,403,390,499,406,916,284,867,518,112,995,784,232,
308,437,514,867,507,791,636,821,782,592,911,038,484,845,396,659,187,007,260,
550,873,625,733,841,383,029,605,142,602,905,797,066,612,481,907,662,415,617,
659,716,718,277,397,121,071,369,130,392,172,187,765,653,381,651,280,741,348,
928,793,793,822,851,582,711,986,119,746,609,516,009,768,809,223,192,618,877,
669,726,855,783,071,801,372,287,532,792,857,909,015,987,339,487,923,925,651,
763,271,794,224,807,361,055,394,981,840,591,714,298,919,992,461,136,587,826,
913,157,242,783,043,704,997,126,765,241,848,583,315,570,279,775,894,543,903,
398,201,618,101,097,507,061,620,258,231,344,440,310,838,095,031,081,786,361,
256,676,023,828,404,721,271,037,720,183,573,079,634,027,861,064,248,860,070,
922,919,869,583,081,736,697,368,819,920,869,424,216,297,645,680,488,928,174,
436,809,228,973,936,698,184,865,117,619,849,269,870,930,488,654,444,244,277,
379,567,477,435,542,024,678,264,796,095,082,552,430,497,782,885,992,347,632,
652,612,972,242,905,422,956,690,816,272,519,280,137,997,549,855,154,650,636,
086,594,857,676,080,282,754,501,489,723,143,419,402,649,154,916,283,816,367,
876,001,237,734,344,568,340,227,575,550,921,735,402,581,441,423,227,966,033,
332,391,759,166,997,257,400,061,136,416,367,862,812,508,476,695,503,132,964,
711,521,012,708,752,527,128,941,570,640,467,919,765,133,997,616,497,675,523,
503,446,217,548,254,218,433,375,484,395,869,774,350,329,948,074,343,623,765,
731,756,851,693,084,722,685,751,811,422,704,894,437,128,167,652,344,592,626,
720,987,875,712,079,246,938,918,913,761,765,826,963,502,898,395,594,660,521,
845,778,471,562,915,182,871,382,079,341,676,975,598,980,602,426,157,782,123,
349,754,157,154,024,774,629,557,925,978,866,520,332,648,851,507,492,898,596,
250,292,303,679,930,190,912,129,898,461,586,538,171,955,689,054,193,123,723,
874,232,549,123,363,475,889,287,559,096,378,838,314,740,498,952,614,292,234,
694,605,274,934,005,646,903,042,210,253,757,829,726,348,719,563,738,268,941,
500,569,149,636,947,589,662,539,334,617,563,712,595,189,298,430,594,339,721,
495,002,158,573,949,443,022,610,523,263,958,260,607,207,205,798,035,800,510,
051,231,663,855,718,838,277,620,372,063,204,427,850,131,084,365,529,975,637,
757,486,058,548,184,624,956,905,443,644,522,979,903,718,735,551,800,965,667,
150,950,918,771,109,488,366,990,758,926,578,322,907,668,946,739,682,328,783,
182,315,180,914,024,967,426,830,639,672,704,278,627,089,031,759,139,022,881,
523,956,652,584,881,150,197,800,539,214,610,458,265,037,168,362,890,623,329,
916,034,462,632,565,549,677,604,550,489,686,198,059,577,990,613,554,809,821,
088,938,767,903,467,886,921,278,292,411,538,205,499,134,754,388,950,469,511,
340,571,240,494,333,577,256,883,402,977,092,127,644,356,762,667,031,506,365,
227,418,542,223,440,277,038,992,428,565,105,362,924,781,489,644,046,531,661,
685,644,014,110,527,732,473,213,010,753,973,700,379,073,223,481,241,290,638,
586,427,483,153,122,105,068,139,718,245,744,385,607,818,679,865,828,194,515,
533,345,435,249,453,537,171,486,522,070,756,189,137,571,859,045,771,259,022,
307,192,700,765,311,993,577,136,293,444,360,356,014,479,669,578,098,826,489,
912,912,080,608,966,209,153,009,040,040,259,838,178,416,297,247,638,002,799,
178,728,000,148,403,326,406,580,845,059,321,616,761,510,790,370,521,885,319,
408,810,917,050,298,022,425,338,198,159,616,941,667,646,813,046,597,578,716,
767,060,343,310,344,971,175,550,497,387,931,097,458,329,418,509,718,551,446,
631,103,647,032,696,976,159,845,823,911,620,418,844,367,758,144,609,422,900,
350,287,091,564,838,020,880,780,811,536,132,573,587,069,116,532,422,523,173,
994,771,249,298,523,648,241,013,166,623,401,864,395,699,122,688,383,619,855,
263,362,425,095,055,439,003,306,047,046,411,895,755,820,603,323,120,007,702,
173,324,935,775,632,648,456,111,094,623,898,263,256,843,655,677,039,773,882,
077,662,888,050,335,177,585,979,946,198,410,396,183,809,775,930,127,761,013,
262,900,982,773,835,529,602,755,518,973,696,348,320,970,401,021,400,293,929,
631,205,298,177,807,942,478,263,786,594,800,144,957,859,515,685,793,973,481,
646,909,924,231,232,045,096,302,955,565,664,912,195,250,694,352,996,963,261,
167,673,440,803,852,683,806,008,508,581,445,985,199,043,450,061,879,313,262,
031,144,678,997,572,535,919,209,059,316,159,389,819,416,128,927,209,625,140,
884,483,705,503,591,338,668,829,497,810,332,061,554,325,056,913,005,439,568,
494,570,988,683,993,140,289,507,109,358,077,185,773,581,328,652,860,651,018,
813,491,247,635,667,506,224,056,870,308,714,581,997,385,016,464,639,873,866,
289,504,485,395,732,104,197,813,778,258,994,046,292,064,171,190,020,359,408,
394,866,610,968,380,268,603,220,552,351,056,705,671,004,743,122,758,094,900,
126,750,617,285,964,436,277,140,302,948,453,836,819,801,311,611,172,368,208,
998,712,202,210,376,889,865,535,451,600,826,003,905,139,268,371,604,113,070,
830,645,719,648,559,906,223,194,508,424,202,868,277,775,301,676,460,050,686,
746,550,501,632,530,342,718,148,250,987,974,222,885,653,143,883,307,657,420,
679,136,211,224,224,025,299,632,459,532,295,006,692,810,433,991,613,876,841,
587,683,817,814,908,223,842,612,979,901,558,451,541,132,258,237,796,181,460,
076,175,202,518,844,953,050,058,583,609,687,152,295,401,597,722,331,544,824,
359,923,457,482,586,162,492,260,047,401,143,146,796,367,552,229,349,651,229,
811,015,869,587,218,361,390,391,764,534,088,857,873,921,991,130,096,098,441,
371,389,291,193,481,680,614,560,826,435,299,403,953,436,727,745,512,399,734,
678,389,139,826,983,620,387,441,302,049,518,190,795,538,223,454,142,695,006,
155,797,488,730,544,699,221,090,206,137,883,290,026,214,143,935,180,945,550,
447,166,412,057,273,085,547,385,650,366,572,956,539,207,490,362,929,114,038,
295,569,041,241,444,614,714,374,191,282,020,264,401,866,317,493,834,754,054,
546,441,698,715,365,813,976,259,943,155,049,274,144,522,618,370,490,041,853,
788,364,049,354,696,956,874,559,991,053,154,615,955,918,239,376,459,293,265,
836,102,953,359,460,397,529,332,564,504,772,169,582,918,744,774,829,047,191,
798,876,632,211,506,198,718,295,957,074,967,189,984,394,683,500,161,349,940,
910,738,558,512,233,561,136,859,581,551,186,999,972,369,214,129,975,682,211,
586,524,356,983,559,524,884,925,351,714,018,019,587,619,496,251,071,304,889,
411,262,357,740,794,779,206,711,163,963,156,679,931,344,844,379,937,193,515,
301,984,606,297,078,106,857,572,684,331,893,924,594,022,161,320,591,673,997,
273,570,543,596,459,923,293,551,251,950,297,091,179,978,402,883,935,773,979,
883,446,266,843,818,878,157,832,698,879,871,835,230,271,638,943,934,341,114,
749,452,356,067,911,828,453,715,920,013,090,668,111,223,111,586,973,058,626,
937,105,660,729,991,016,955,508,463,003,462,349,948,120,304,206,236,990,551,
136,349,025,976,245,490,914,967,937,009,379,951,611,980,982,057,649,062,564,
601,990,693,440,567,656,303,718,339,008,971,059,891,271,520,389,609,491,514,
806,190,300,665,619,228,908,095,849,967,255,377,472,001,906,484,731,108,404,
301,082,062,047,167,600,135,242,132,851,942,271,768,458,938,046,668,573,057,
675,785,754,154,467,708,213,436,358,725,924,983,069,349,809,978,152,670,471,
076,342,147,294,315,078,684,458,407,321,073,553,058,649,076,991,355,642,003,
017,421,935,784,167,047,699,130,806,758,500,249,007,953,251,063,878,723,537,
509,919,294,791,470,958,265,072,856,551,107,597,183,602,780,303,320,042,399,
500,432,572,575,308,398,534,990,665,505,019,290,080,425,227,047,977,142,993,
461,339,084,348,372,020,035,521,323,336,412,350,308,769,991,263,950,306,365,
453,972,319,694,789,050,655,868,719,576,547,137,243,584,680,838,432,283,582,
360,023,580,310,424,977,803,503,911,074,829,461,874,939,546,027,469,169,468,
746,535,063,115,578,660,357,846,372,448,013,587,000,368,566,680,420,873,485,
791,113,468,599,627,076,304,546,537,151,756,827,742,553,455,018,414,739,164,
683,349,224,108,531,241,909,290,375,538,572,891,613,112,664,671,470,705,951,
975,055,155,592,646,742,967,971,439,888,399,499,372,813,167,183,660,276,721,
710,213,293,468,258,543,397,952,757,044,537,092,241,963,860,411,380,244,013,
381,424,731,611,315,340,701,422,360,732,083,663,004,674,201,510,891,450,300,
532,364,545,191,030,406,961,848,014,981,500,804,346,360,584,451,023,014,589,
622,835,531,601,317,909,508,587,699,432,831,913,706,172,582,504,070,198,974,
994,608,528,407,595,909,578,471,341,225,553,679,707,502,552,655,073,203,011,
709,326,316,707,526,080,507,056,150,505,850,540,703,573,164,915,698,032,142,
215,010,952,469,168,042,719,317,527,035,425,101,631,347,428,361,731,972,500,
127,933,159,907,869,470,455,522,532,626,374,357,444,989,095,278,564,937,411,
405,215,375,982,385,273,306,550,238,044,260,225,512,164,503,829,743,312,153,
332,165,086,326,986,103,583,520,762,875,733,652,124,315,754,462,952,586,411,
226,013,764,990,856,136,378,970,191,975,234,932,172,445,800,294,184,101,513,
893,369,701,793,460,903,923,749,916,845,230,573,297,153,630,278,326,712,175,
680,861,844,713,669,973,345,066,695,709,048,323,016,089,901,543,343,637,518,
389,266,867,566,325,596,236,132,489,041,172,420,603,160,515,824,559,142,870,
617,808,274,432,746,695,785,834,516,101,725,557,556,243,975,261,872,060,487,
876,808,330,199,770,475,102,679,144,991,666,669,482,569,224,043,833,239,702,
463,613,555,276,185,070,670,130,039,209,410,684,499,315,330,015,563,813,303,
320,100,979,829,583,265,429,959,071,427,523,114,071,105,189,596,392,075,772,
935,849,299,091,063,708,658,686,079,146,312,259,297,254,363,483,476,617,717,
116,608,611,333,629,435,683,123,006,951,641,812,752,606,173,260,044,464,503,
590,112,252,832,759,487,038,072,300,089,890,598,072,337,929,878,946,474,543,
694,718,574,704,258,932,226,055,950,253,715,960,989,497,948,423,621,231,961,
673,566,984,677,491,174,818,038,844,819,955,435,352,872,022,363,423,383,150,
919,184,711,831,866,454,725,876,071,284,577,709,742,804,851,584,547,909,099,
752,909,054,189,813,256,509,567,627,067,756,711,392,342,801,380,447,904,939,
934,512,338,149,019,604,641,545,085,310,709,169,781,495,346,858,044,436,744,
193,454,655,141,673,986,130,358,057,266,607,508,348,327,172,526,454,746,217,
797,393,614,637,852,515,118,684,908,765,334,205,220,761,942,216,582,644,360,
163,700,546,686,499,171,683,924,257,926,490,643,978,413,874,603,070,862,296,
006,161,782,417,123,617,127,242,964,806,399,195,550,807,024,633,328,091,137,
428,213,681,774,243,417,834,750,443,352,204,267,450,732,206,367,509,127,525,
011,577,595,881,720,062,807,008,743,046,426,892,346,335,666,280,219,491,378,
472,167,087,936,485,467,956,867,055,811,661,814,409,847,516,587,046,472,145,
010,742,194,710,033,488,010,273,946,847,862,228,709,662,413,356,815,309,882,
291,910,535,159,593,492,141,714,579,772,201,278,219,201,915,373,297,629,676,
411,694,851,349,277,307,593,999,941,940,773,966,352,921,348,366,669,649,363,
838,653,459,988,184,322,348,452,129,239,636,843,974,215,873,058,283,068,163,
145,008,970,197,573,850,771,549,734,693,936,841,168,546,297,138,763,444,036,
715,654,659,238,600,332,931,408,662,973,739,412,368,355,770,480,312,365,046,
112,217,346,223,908,749,658,118,341,590,450,422,054,880,105,332,892,025,218,
518,625,536,125,739,105,321,164,276,148,742,601,753,748,796,855,239,773,633,
812,890,824,332,520,403,661,717,901,250,688,212,730,329,025,535,849,665,770,
270,984,420,597,759,483,050,997,593,819,309,143,498,324,772,169,473,763,134,
882,195,463,206,222,279,643,746,478,509,034,737,963,460,319,840,926,434,135,
920,254,323,890,841,749,151,790,071,028,168,388,728,552,025,417,668,274,688,
970,961,067,127,272,001,452,769,866,755,194,236,720,445,945,328,857,512,781,
271,343,664,778,244,359,164,500,905,757,953,814,874,008,289,466,207,344,774,
235,719,879,172,473,556,260,399,762,054,510,794,671,130,715,540,435,125,078,
379,692,410,575,400,986,244,713,677,798,098,533,851,083,674,319,235,245,467,
167,184,585,746,233,432,094,876,807,397,514,936,335,607,268,156,976,058,370,
599,012,181,389,776,877,858,049,275,394,563,570,584,865,483,752,856,384,166,
809,042,650,335,343,590,146,291,835,051,397,381,230,067,785,924,247,393,603,
338,671,934,274,225,419,574,107,927,497,516,279,621,340,132,500,706,294,847,
180,652,960,675,104,245,781,944,320,016,813,593,420,796,783,746,330,686,072,
101,701,519,558,140,295,326,873,882,574,851,243,207,355,496,140,118,657,993,
308,187,401,958,736,169,464,735,759,631,095,403,410,106,114,246,406,858,923,
929,595,295,882,750,290,690,325,946,284,534,200,887,979,171,403,678,447,936,
203,095,544,509,635,533,942,552,638,314,861,515,999,034,086,573,442,624,953,
261,375,900,414,070,928,720,256,490,411,118,106,680,050,108,580,293,826,140,
351,262,233,540,742,088,300,241,237,647,519,273,876,877,730,939,462,336,833,
929,447,378,651,833,772,998,351,261,382,261,937,675,340,680,074,873,146,259,
025,395,326,832,481,738,570,336,536,365,064,079,908,995,643,813,461,062,509,
754,777,994,927,056,574,820,479,201,649,728,005,758,277,547,156,766,716,408,
290,094,975,499,349,314,595,015,292,719,762,185,652,072,372,167,129,447,942,
356,524,028,845,724,360,129,943,878,616,541,961,614,789,862,234,107,008,813,
232,663,339,740,869,472,518,437,350,536,251,099,594,607,960,699,884,308,448,
562,133,223,261,043,587,111,465,962,242,498,964,823,026,070,778,424,143,084,
318,196,758,360,816,015,177,473,204,907,534,043,756,999,481,859,803,697,108,
531,406,983,231,227,286,308,805,573,470,942,420,156,229,831,095,204,132,734,
853,522,335,790,785,246,761,655,217,725,332,768,631,647,526,346,406,281,775,
840,139,989,528,065,080,999,677,980,786,476,486,969,235,176,573,215,333,581,
883,210,329,732,910,571,817,943,566,109,037,915,762,515,154,741,936,011,345,
363,157,862,155,131,124,330,076,112,149,523,652,049,486,175,917,079,755,666,
432,464,976,773,855,856,286,097,676,627,965,523,708,668,613,347,812,150,313,
699,532,856,034,480,323,156,251,622,102,572,453,850,359,286,826,028,393,151,
650,687,370,141,283,866,148,577,963,552,752,475,520,946,255,562,099,465,332,
593,426,778,406,487,869,114,633,877,944,965,720,600,240,620,529,264,190,731,
195,638,107,020,882,959,863,466,548,421,639,963,581,215,668,524,338,050,883,
043,342,861,965,024,693,752,425,090,107,412,484,186,105,529,604,926,864,042,
671,731,426,718,172,808,339,747,620,587,337,549,935,365,543,583,633,023,385,
351,962,174,762,838,842,314,545,785,854,895,462,767,102,737,525,981,171,617,
249,550,139,513,260,514,016,005,680,019,754,230,289,957,798,742,456,785,170,
292,569,995,305,454,087,334,743,807,468,821,674,409,440,754,508,475,217,720,
894,012,594,318,088,124,803,463,706,496,199,886,668,336,439,500,408,381,529,
749,574,964,710,732,740,284,114,254,243,071,590,123,138,018,594,574,737,517,
179,527,749,676,942,096,174,299,442,520,560,838,912,221,877,664,874,458,060,
441,656,675,590,230,473,102,058,871,024,872,656,961,440,774,157,534,909,254,
443,172,490,975,208,335,104,866,767,586,288,702,676,411,740,768,249,907,900,
709,658,575,214,011,013,424,357,516,628,425,783,024,531,155,342,688,781,190,
504,993,922,431,961,465,161,119,075,539,984,923,191,341,872,485,917,374,049,
909,036,379,400,972,380,407,439,384,998,403,846,205,741,048,512,912,175,483,
691,129,431,896,167,466,773,244,546,980,418,762,005,268,127,699,361,643,479,
694,519,340,030,069,443,188,840,105,984,318,890,012,700,795,927,083,382,096,
109,689,207,785,648,138,000,509,366,554,264,987,371,479,595,558,819,290,287,
383,365,765,316,350,440,930,576,591,779,580,141,704,444,463,182,569,791,503,
170,804,650,536,550,540,288,573,230,272,841,729,025,267,635,120,258,041,400,
268,868,599,478,942,213,649,272,886,842,175,097,727,279,854,370,206,512,799,
788,081,671,835,475,480,519,153,358,367,826,483,230,415,588,511,482,167,831,
542,008,425,801,406,690,550,655,631,756,083,176,215,948,073,546,635,233,432,
197,076,124,339,164,654,155,884,343,606,139,102,671,992,071,480,529,656,096,
474,141,654,205,571,259,353,114,752,280,664,437,918,886,348,098,591,453,151,
092,764,720,668,929,534,091,057,984,830,004,479,422,091,516,786,351,123,506,
197,160,004,567,275,057,095,350,623,451,332,705,421,086,930,453,894,749,796,
315,472,576,210,953,959,042,372,413,800,162,928,474,944,620,329,433,511,290,
417,469,224,469,270,781,223,631,548,980,021,394,517,020,488,266,353,784,595,
564,210,639,822,940,634,813,969,926,364,333,756,348,951,190,265,430,882,648,
598,463,676,809,397,390,970,278,592,772,829,460,577,206,137,912,204,519,485,
567,731,167,313,337,350,468,607,545,148,635,502,372,307,047,056,512,021,024,
727,642,781,462,710,762,646,322,969,748,291,051,107,712,549,610,951,206,152,
605,645,181,762,568,213,315,090,464,950,405,131,125,455,711,260,906,639,020,
089,593,987,791,289,233,709,848,515,976,801,785,340,697,367,914,466,756,616,
728,436,817,712,824,604,393,147,365,574,805,461,947,174,748,077,656,160,205,
430,395,851,863,302,677,901,456,063,416,427,548,242,832,126,964,472,529,655,
300,502,236,428,755,013,482,012,217,215,298,864,376,399,509,129,458,506,984,
933,795,329,406,937,319,471,780,632,376,744,014,536,194,535,695,672,876,655,
827,491,166,424,363,667,807,947,819,880,519,435,699,546,477,973,899,094,439,
641,008,563,872,689,272,864,012,975,157,111,091,721,406,751,569,316,679,865,
032,360,417,307,860,049,293,828,202,327,898,053,454,620,585,312,107,213,218,
134,620,199,911,964,943,224,177,189,438,684,113,362,268,240,460,305,205,544,
849,860,316,497,572,703,068,486,276,341,396,056,779,685,370,055,586,027,154,
371,213,108,076,708,242,834,603,959,672,047,707,573,863,961,027,887,641,363,
800,017,085,537,532,258,683,808,454,142,429,804,125,742,360,354,511,618,483,
921,796,302,207,196,934,223,911,272,896,359,387,423,988,574,671,698,036,891,
726,963,445,175,865,110,347,162,404,062,271,628,748,334,011,824,131,310,685,
405,550,731,447,112,997,068,526,893,947,286,038,317,855,911,575,226,380,294,
187,470,298,619,180,035,630,340,089,458,570,991,918,898,959,754,731,349,152,
860,542,991,550,880,318,006,215,118,493,158,832,769,610,091,612,766,870,990,
491,329,488,897,040,197,837,305,297,876,641,645,217,124,478,469,341,438,844,
749,428,367,381,280,882,037,299,402,431,053,535,031,244,708,392,837,074,507,
308,389,280,388,578,521,657,013,871,474,322,707,677,938,026,248,010,842,467,
810,188,008,835,243,877,868,706,952,539,193,137,253,289,519,374,343,634,289,
561,892,913,614,274,071,994,524,624,746,942,309,241,954,883,395,031,459,760,
804,314,137,104,932,790,194,916,194,533,455,487,631,990,904,698,162,604,809,
981,857,069,925,474,096,684,994,194,793,022,301,445,594,231,884,260,139,940,
805,347,096,921,229,217,397,176,518,307,157,201,578,342,238,756,395,480,143,
684,286,127,183,819,370,794,276,461,465,798,951,309,562,254,317,956,674,942,
791,174,245,518,215,453,203,804,279,885,701,061,898,549,816,150,089,504,773,
581,650,617,898,398,807,808,429,603,799,555,029,923,794,036,079,061,945,385,
713,207,832,416,468,626,874,968,954,879,956,893,212,983,468,147,444,477,439,
310,153,958,400,914,401,573,198,150,576,652,470,433,252,559,916,296,694,765,
973,415,387,374,410,098,809,389,917,023,868,863,120,721,498,468,061,985,454,
732,510,995,638,377,697,987,157,690,978,171,697,831,040,860,702,293,821,921,
029,220,088,856,792,977,902,506,932,744,006,815,878,299,321,629,957,892,871,
841,166,802,772,222,931,898,274,659,695,101,531,436,551,985,111,743,986,799,
600,058,156,298,519,378,036,865,203,399,631,483,957,815,846,740,769,824,578,
464,638,381,179,718,983,295,040,632,058,300,886,913,165,765,174,911,028,812,
384,338,810,238,909,136,014,536,954,114,499,291,340,574,526,745,743,321,371,
328,545,687,239,067,175,469,763,598,994,234,209,066,767,612,180,071,398,915,
553,436,047,530,825,273,800,138,158,294,504,363,103,174,088,116,798,504,900,
891,593,969,876,663,373,894,297,474,815,037,253,823,221,984,398,128,870,015,
233,568,705,454,481,668,674,994,153,637,965,912,559,371,514,990,375,881,322,
474,707,364,923,942,973,161,776,184,839,724,139,776,062,958,677,761,005,799,
747,239,870,069,833,157,277,722,390,350,284,361,505,238,539,780,185,222,592,
208,336,422,903,357,063,352,183,814,323,944,397,250,580,138,695,296,582,394,
326,625,708,850,379,100,614,154,514,532,246,329,724,757,499,663,051,254,269,
546,323,056,281,176,973,004,888,729,828,552,684,254,865,092,964,736,038,883,
792,621,314,102,717,975,778,443,297,997,252,811,736,824,180,775,800,085,125,
378,617,831,122,668,558,991,592,308,927,782,416,200,371,405,407,391,792,670,
075,163,711,504,778,436,827,616,917,528,694,308,328,405,719,900,212,886,908,
359,525,498,520,617,666,822,064,251,002,392,859,620,303,467,464,548,799,153,
008,266,345,595,762,618,442,603,171,764,721,549,722,112,442,736,828,318,669,
200,126,535,908,309,280,844,155,222,426,800,313,895,071,968,629,801,201,073,
157,614,991,250,251,575,701,455,694,708,033,922,638,837,712,319,797,418,199,
839,498,588,396,959,516,977,854,022,523,166,937,924,709,473,803,363,593,554,
573,030,675,572,112,367,552,344,617,055,760,974,259,456,965,742,018,464,891,
036,409,325,055,729,298,645,588,342,773,283,777,996,872,500,882,061,629,206,
892,524,623,678,569,135,101,440,764,743,424,104,177,078,552,724,470,060,451,
151,991,986,522,302,388,319,365,215,720,508,303,668,660,915,504,594,328,423,
883,123,541,639,675,009,766,363,589,157,798,148,478,530,736,342,572,870,359,
926,979,573,427,938,880,435,494,352,293,155,544,523,042,040,931,167,216,956,
478,444,322,962,559,396,222,073,243,323,232,389,796,615,315,743,693,819,658,
911,147,547,421,316,134,123,310,247,158,913,615,797,800,172,627,670,456,284,
723,249,228,959,902,738,705,585,416,013,858,942,210,730,174,007,098,747,992,
548,175,761,660,608,762,717,546,761,858,906,867,860,890,110,167,218,785,659,
749,416,068,188,401,058,774,755,098,400,389,152,272,279,532,524,149,476,153,
098,853,930,793,917,261,619,511,372,998,570,383,144,656,111,214,889,484,554,
636,701,269,271,779,219,295,344,463,041,327,518,400,457,744,034,655,645,945,
060,301,733,650,197,399,540,784,241,756,490,744,422,222,066,222,473,887,581,
180,434,713,320,768,326,980,702,989,106,587,835,851,883,273,540,875,916,531,
678,770,466,223,507,874,915,435,932,726,004,401,771,145,890,218,717,065,751,
701,709,790,608,391,921,301,747,211,823,357,954,386,900,346,948,615,862,717,
691,390,502,228,761,027,933,131,431,569,829,069,525,295,900,797,055,328,488,
921,565,555,019,676,721,013,099,100,585,591,098,333,086,594,680,183,312,281,
593,613,477,606,413,399,231,767,912,583,234,509,212,206,334,387,705,632,559,
094,047,714,843,995,512,108,219,371,489,439,870,060,980,426,579,564,003,632,
416,289,278,496,627,481,476,168,445,370,467,693,040,944,855,832,699,088,556,
841,960,970,799,894,318,260,826,726,533,146,043,218,606,399,728,157,422,674,
910,889,010,210,853,273,108,567,639,776,841,308,249,648,977,686,477,747,896,
820,181,834,758,208,439,938,600,978,591,043,373,063,971,622,995,920,208,557,
467,118,159,228,723,981,095,004,148,046,693,399,524,043,755,322,870,545,966,
040,293,560,153,749,721,978,440,437,420,194,937,987,617,473,758,678,757,528,
815,167,893,758,969,629,740,774,537,679,000,272,428,794,773,357,361,106,190,
913,436,945,923,505,399,442,257,480,545,788,287,535,619,402,669,614,874,644,
899,581,330,038,392,137,798,035,396,205,702,037,397,207,211,624,026,039,727,
857,933,989,830,771,407,952,999,670,371,741,496,929,572,639,327,949,690,670,
599,931,415,240,253,581,947,420,951,689,913,601,681,961,560,875,751,351,761,
047,340,682,835,515,037,447,551,579,940,020,012,981,568,923,576,803,012,358,
453,746,635,583,689,822,607,563,261,485,606,621,552,601,539,888,004,844,453,
714,146,617,308,363,034,984,655,150,270,925,968,365,240,363,962,567,227,136,
435,703,572,366,047,604,146,046,942,893,907,763,808,940,721,625,981,973,549,
353,465,594,869,307,876,461,876,979,447,495,321,688,096,671,793,933,121,686,
654,922,505,968,672,780,287,795,394,187,940,612,451,009,828,809,956,628,618,
666,000,219,554,233,991,191,945,689,523,752,160,745,809,638,965,892,035,984,
144,860,168,020,319,852,241,569,050,605,669,275,116,984,653,472,744,611,083,
133,471,351,349,338,966,338,602,049,873,118,306,453,698,244,890,731,171,465,
692,736,312,908,226,914,616,579,281,646,521,893,742,045,598,381,682,686,731,
660,418,437,901,044,830,178,423,630,584,429,968,754,556,220,116,255,924,101,
819,489,112,216,833,090,119,793,624,481,611,718,982,539,676,365,709,595,764,
087,972,866,725,642,223,461,434,374,469,523,152,865,690,975,529,635,986,554,
230,700,569,152,562,091,054,986,310,757,031,579,165,284,372,354,545,049,367,
526,040,096,673,328,205,030,195,097,893,310,961,588,189,043,776,715,665,513,
470,623,795,454,555,194,421,796,064,475,737,246,603,408,944,582,948,569,540,
782,741,700,119,642,531,675,338,820,724,442,691,065,961,745,062,361,811,012,
161,032,332,616,281,092,932,957,130,461,975,363,650,746,103,789,745,282,010,
732,418,962,901,607,022,228,263,802,343,869,730,798,333,474,905,603,240,714,
198,557,728,685,143,141,756,753,405,753,152,665,935,205,804,540,343,849,002,
564,191,545,161,565,983,650,221,212,469,771,579,126,541,351,364,024,395,884,
757,465,471,692,302,287,249,416,488,647,241,121,197,295,612,749,576,634,500,
515,368,282,418,106,207,495,369,425,974,961,652,378,263,941,913,562,842,601,
603,789,071,730,029,632,045,724,543,361,868,017,047,683,627,241,893,380,593,
716,863,135,041,322,338,100,631,164,990,598,909,494,468,598,559,428,573,011,
693,398,267,880,007,614,425,323,782,095,295,484,539,681,225,658,733,833,957,
914,344,754,265,074,198,586,503,147,278,636,897,051,372,452,668,157,629,398,
738,036,495,132,586,456,305,916,726,882,112,044,324,370,491,041,025,435,479,
811,920,132,055,529,576,326,967,179,196,886,380,792,250,606,343,201,938,702,
972,635,451,441,602,452,322,154,573,522,718,589,449,050,420,646,047,658,125,
983,408,072,193,411,515,517,852,438,860,626,813,951,226,687,277,536,590,682,
717,198,206,911,075,563,250,641,545,848,088,782,998,140,590,629,622,983,193,
529,046,897,387,513,935,719,594,742,463,543,227,496,972,773,418,631,722,261,
233,022,924,775,652,399,783,778,736,328,182,160,422,566,195,312,905,878,887,
414,976,081,215,920,887,965,507,205,314,778,757,021,483,290,150,493,937,455,
644,088,942,011,293,548,404,172,295,489,008,100,117,572,475,740,508,481,022,
564,111,657,613,817,410,369,640,114,453,210,757,319,974,759,381,403,691,172,
718,743,074,639,117,273,774,090,384,894,655,219,498,286,855,702,752,893,767,
654,383,568,036,472,644,687,439,840,828,175,230,571,885,164,190,422,727,800,
599,074,137,019,370,862,786,152,492,340,245,741,072,694,858,469,140,550,001,
692,170,180,630,032,629,223,036,051,458,349,989,853,461,415,375,145,837,423,
547,280,314,466,427,857,541,765,154,048,499,055,325,444,739,946,790,246,952,
660,777,107,791,726,958,868,012,618,086,670,382,935,579,444,873,437,959,997,
887,198,356,378,867,349,745,719,214,568,431,314,595,907,133,897,735,081,591,
381,566,631,256,281,709,698,547,039,039,445,030,795,909,003,915,833,013,649,
583,398,189,251,200,415,812,903,466,719,237,702,340,604,771,779,186,388,750,
578,350,095,845,773,351,668,770,767,042,228,358,883,257,270,808,124,340,247,
325,377,863,599,683,688,650,640,908,147,753,319,843,361,952,658,904,481,535,
265,669,824,299,434,045,928,686,654,311,792,112,826,409,455,466,432,913,310,
534,092,974,289,138,561,557,989,362,116,927,049,388,086,712,129,490,494,362,
176,008,306,257,710,625,489,785,879,433,210,998,895,049,939,672,041,813,157,
685,218,607,408,302,579,660,074,987,466,028,855,172,329,279,208,418,604,913,
673,007,893,861,706,504,988,483,024,491,855,717,453,157,393,215,005,861,360,
916,434,232,769,752,261,246,634,661,316,655,548,779,698,539,776,738,721,127,
073,783,713,675,816,464,688,778,462,037,117,834,871,247,591,007,688,471,134,
419,104,383,786,913,850,417,569,721,392,278,974,769,097,278,718,499,913,996,
904,358,887,881,840,562,393,476,343,187,352,708,387,211,436,989,142,154,975,
759,927,654,149,155,655,758,183,848,046,282,164,148,846,614,723,527,498,138,
958,752,705,479,315,289,292,782,274,765,099,723,820,277,253,408,215,793,273,
333,766,351,174,953,551,945,553,951,059,492,132,843,592,591,510,514,487,729,
989,463,201,027,151,272,845,282,183,501,447,749,026,031,543,681,869,219,190,
073,744,036,967,696,981,904,152,085,594,036,831,690,278,931,462,948,727,038,
325,467,822,322,421,824,425,186,270,495,978,544,737,435,631,202,490,784,317,
769,815,523,603,587,577,171,007,183,905,877,486,183,809,157,470,122,315,975,
979,199,796,104,112,348,189,516,051,626,146,358,518,290,615,791,166,566,806,
554,853,514,610,696,489,922,768,570,095,262,000,399,680,375,011,299,988,687,
213,952,240,100,367,100,631,060,607,973,941,064,445,680,218,557,052,052,409,
452,982,666,655,206,166,402,666,007,275,693,732,029,259,091,109,925,956,013,
908,930,087,947,558,041,820,116,395,758,206,331,251,900,888,824,671,206,981,
327,633,102,873,481,808,097,051,031,748,188,270,229,305,219,573,562,349,843,
567,835,958,117,338,558,427,331,868,293,927,525,600,880,146,198,592,267,938,
362,828,645,679,781,875,350,199,559,795,309,223,490,726,121,286,476,653,490,
438,821,577,190,274,845,937,142,844,131,041,505,302,751,446,761,440,411,727,
985,079,849,871,762,826,778,563,303,881,033,059,822,487,070,526,379,582,641,
895,612,452,556,846,133,517,675,184,960,323,590,733,866,726,630,831,691,445,
050,580,982,705,948,978,534,984,273,943,718,828,317,911,568,718,021,776,543,
997,466,333,431,186,407,987,711,237,157,425,910,200,768,480,145,009,206,349,
724,581,221,495,863,506,553,312,531,725,716,571,890,733,676,279,270,998,571,
744,294,766,082,949,726,928,777,045,328,820,397,216,473,473,904,714,073,759,
699,049,446,884,488,953,078,836,643,314,378,148,881,130,256,523,578,256,641,
654,987,904,982,250,105,151,930,579,901,542,011,250,473,917,253,286,574,906,
525,449,372,967,782,803,657,727,902,753,067,498,189,855,748,858,090,351,431,
479,658,031,550,164,313,827,829,765,742,953,489,344,132,440,040,117,978,661,
789,011,046,212,591,927,258,717,774,330,568,563,320,925,239,486,524,678,516,
910,048,137,947,577,724,421,428,256,195,281,636,945,489,735,315,797,854,256,
731,281,871,383,003,511,226,284,164,505,263,876,881,991,377,589,191,626,111,
052,044,175,029,681,240,808,381,325,121,604,200,418,430,208,507,096,154,227,
265,948,457,988,225,301,188,901,604,971,355,584,661,857,039,247,777,681,811,
115,519,881,165,553,587,851,631,321,890,430,466,531,573,067,940,088,271,186,
040,192,531,944,316,978,739,281,813,260,706,711,956,103,316,441,589,625,409,
934,229,265,467,179,938,850,101,481,019,599,577,982,571,785,639,041,796,173,
587,687,745,377,813,832,145,880,819,732,512,580,384,503,675,733,158,882,444,
646,986,807,787,423,629,800,909,840,290,129,744,493,924,685,099,017,948,591,
478,682,159,013,355,604,987,810,569,180,119,578,000,474,055,757,673,803,552,
316,424,849,762,832,574,739,667,975,753,646,303,017,773,813,643,528,758,411,
222,007,414,869,270,365,272,795,017,201,113,403,666,167,628,914,215,695,453,
435,025,133,343,341,156,265,250,311,065,955,353,775,267,608,720,826,237,363,
719,419,916,389,275,826,648,105,599,149,562,554,880,791,044,781,431,422,327,
769,111,842,720,472,128,807,328,623,902,251,645,454,984,045,350,874,406,489,
928,786,818,131,452,518,345,379,928,616,152,972,256,617,704,534,806,723,521,
064,840,849,026,948,598,725,084,401,890,938,742,544,031,877,971,810,184,363,
664,644,074,651,612,159,873,650,172,373,718,546,041,989,517,839,519,577,971,
367,477,434,835,880,111,980,329,769,492,439,678,366,788,294,682,829,614,294,
002,209,440,033,755,861,421,837,630,762,453,272,603,511,006,471,445,964,164,
438,989,650,007,043,959,521,921,792,260,689,504,295,519,971,286,743,399,933,
852,931,368,851,493,492,992,458,973,808,625,731,762,840,238,624,777,192,169,
361,653,661,873,498,436,425,668,788,409,653,176,231,272,485,217,157,364,500,
590,956,931,806,276,368,434,520,808,797,225,482,286,098,753,389,153,360,620,
647,404,752,945,398,428,229,309,091,898,278,741,189,389,236,331,614,537,767,
383,171,382,233,083,229,370,488,502,826,189,354,314,350,898,524,043,081,734,
197,277,849,019,681,809,522,304,411,893,457,418,267,216,437,801,604,549,703,
813,272,638,761,985,495,774,196,217,294,666,155,620,579,742,281,349,634,347,
984,996,632,436,558,650,060,657,696,035,523,929,374,096,212,410,672,246,780,
935,737,311,028,905,891,883,376,564,467,847,400,718,454,598,068,368,906,307,
293,378,341,094,591,191,617,446,052,009,041,505,459,732,921,214,191,917,627,
447,317,901,401,309,731,916,536,525,515,354,924,668,650,756,474,838,500,860,
114,696,867,617,933,950,298,394,203,164,145,242,570,930,238,260,082,127,096,
442,074,359,532,256,420,395,708,401,827,992,178,638,615,025,333,635,396,635,
882,869,042,059,943,591,272,613,206,406,854,791,258,280,393,155,380,508,281,
683,557,447,517,115,719,758,832,153,221,849,022,043,208,022,548,525,652,739,
246,453,229,686,255,535,777,040,410,108,376,490,284,025,975,263,553,928,052,
007,645,868,085,277,129,959,113,382,392,200,960,289,230,953,066,168,990,363,
793,216,072,665,076,482,565,020,773,744,421,421,502,975,815,910,058,036,209,
702,328,502,549,882,929,432,843,052,045,674,561,943,924,962,780,677,757,598,
203,540,626,952,541,375,444,368,819,797,274,156,033,985,626,639,356,161,215,
095,264,603,407,977,294,931,133,681,425,143,695,277,068,344,712,396,826,707,
372,213,904,601,990,893,927,566,199,508,657,737,315,687,060,706,658,844,356,
828,014,162,607,505,475,273,926,051,626,087,647,702,478,180,234,861,835,384,
463,321,490,575,265,684,718,828,565,562,754,167,505,543,103,528,214,037,947,
212,181,818,992,817,465,400,274,158,604,502,081,878,598,759,342,161,032,231,
820,844,885,037,097,587,784,675,708,144,791,507,836,670,726,027,339,307,240,
385,079,861,700,777,510,509,016,382,951,033,870,164,394,350,763,663,151,091,
806,748,002,490,089,557,861,669,769,872,887,497,333,076,864,750,540,100,822,
723,297,022,270,008,956,789,783,057,780,530,160,586,555,934,556,166,742,770,
745,802,986,738,379,114,086,061,162,689,577,723,624,647,511,095,920,348,667,
442,798,953,831,274,461,464,046,510,199,183,316,010,959,068,709,759,546,608,
304,253,711,671,926,393,439,146,218,719,175,369,069,693,036,994,835,671,146,
032,787,135,863,279,342,563,907,202,891,867,771,071,155,211,595,895,900,258,
564,314,145,770,863,237,694,439,435,233,398,961,641,310,257,571,525,055,486,
987,479,857,055,480,771,221,136,789,897,095,084,096,660,605,419,414,216,542,
535,258,250,457,222,968,497,099,720,449,222,827,449,447,701,676,106,911,539,
310,677,718,392,717,128,922,404,011,760,402,341,155,987,027,112,823,258,325,
555,409,815,218,180,712,346,969,223,100,332,591,437,512,617,341,504,936,257,
278,450,493,532,886,338,123,934,042,319,509,416,059,379,416,421,644,263,038,
612,283,901,643,445,283,652,851,312,352,859,190,622,857,736,057,726,476,388,
808,454,771,907,979,379,691,509,391,170,312,883,998,650,480,433,300,448,999,
957,935,014,431,409,353,378,906,588,053,469,213,692,610,314,914,033,101,681,
800,657,277,362,335,431,144,026,299,357,073,029,691,574,912,554,614,363,166,
984,509,487,270,121,189,288,645,699,131,379,233,940,257,589,500,076,994,118,
783,270,325,437,357,034,890,998,787,054,742,011,076,625,634,866,643,270,795,
070,978,690,892,081,380,593,412,865,130,410,567,878,684,242,484,067,785,091,
065,408,218,876,405,978,511,952,196,494,741,283,486,718,649,938,890,418,617,
367,097,869,834,994,405,078,192,601,720,707,159,094,179,797,525,294,848,228,
711,025,319,237,830,659,044,552,673,619,583,041,465,689,870,798,558,316,070,
837,710,418,482,900,053,606,289,961,304,333,863,477,623,709,738,590,353,252,
600,035,939,151,201,584,007,856,219,102,933,320,956,972,088,937,280,155,924,
640,126,769,767,001,160,195,704,210,672,443,124,715,074,553,210,357,307,712,
732,839,149,283,303,061,360,107,220,297,502,754,637,269,817,903,862,838,014,
305,061,137,405,849,735,428,979,921,986,441,162,922,103,747,039,086,932,543,
839,960,075,661,342,420,155,994,532,931,871,199,965,193,149,827,889,082,093,
880,432,656,900,159,270,516,394,515,375,519,166,119,061,385,751,717,945,369,
720,886,039,028,657,781,661,248,626,230,265,006,205,499,326,484,586,124,633,
983,213,256,451,659,686,857,673,910,300,618,623,245,958,716,221,446,869,199,
178,526,904,754,259,385,974,918,735,021,955,616,524,898,949,385,229,664,570,
610,901,018,426,971,497,318,551,631,921,780,235,971,143,158,068,940,920,194,
654,207,471,560,183,916,184,015,950,101,069,520,264,577,232,230,070,640,428,
617,487,723,707,110,540,354,367,196,466,775,570,648,798,970,963,726,754,018,
617,674,392,939,161,602,524,005,800,131,489,385,346,892,653,158,890,437,602,
493,776,162,008,534,561,576,503,011,627,369,666,808,253,577,726,602,177,087,
961,902,251,172,598,094,111,502,092,624,135,706,504,946,806,679,400,361,712,
135,574,328,824,952,744,191,231,201,459,081,969,811,333,453,284,597,335,850,
493,244,648,597,135,018,228,485,543,727,181,644,400,452,679,379,773,862,302,
942,817,140,163,878,766,859,328,851,200,245,804,110,236,814,568,803,179,459,
268,005,235,918,320,159,837,866,130,685,459,836,373,273,006,315,283,396,805,
775,921,481,169,816,834,936,478,674,357,368,032,315,880,182,014,723,657,954,
969,751,421,726,306,705,302,725,464,089,109,042,759,005,574,934,350,436,217,
331,439,987,454,459,117,974,370,709,872,460,835,455,101,972,158,557,104,736,
952,894,105,483,921,805,591,210,300,393,160,941,919,283,623,252,182,062,146,
170,684,059,996,885,186,103,880,576,116,867,248,663,808,419,402,550,736,100,
344,789,747,369,003,951,787,323,148,194,116,346,142,611,671,627,412,575,210,
494,924,228,379,471,697,794,074,543,151,640,748,980,376,101,399,378,683,897,
729,103,485,221,817,056,150,575,349,494,119,026,948,978,556,510,839,961,029,
133,175,208,294,875,356,839,140,237,577,596,186,136,381,200,196,541,613,085,
238,885,354,786,845,387,380,479,477,874,511,961,082,762,632,384,036,024,891,
213,749,369,043,912,562,849,142,445,000,421,820,110,539,239,125,497,883,274,
550,376,561,939,935,763,097,285,163,929,485,015,507,958,659,227,047,149,473,
233,997,466,543,121,021,141,837,666,816,375,288,128,944,156,593,723,366,518,
728,542,114,734,595,471,852,049,900,299,951,503,112,844,798,710,378,824,524,
061,573,837,641,854,045,911,548,979,099,043,994,138,524,611,414,051,923,565,
148,698,856,492,364,114,971,593,094,675,416,830,580,658,108,532,691,368,544,
565,243,858,104,897,130,406,264,175,040,159,273,425,976,786,072,928,174,528,
409,408,236,471,769,654,939,572,120,094,368,458,814,886,094,335,473,190,121,
708,740,413,939,504,629,272,209,263,227,504,062,797,314,982,648,614,377,997,
304,531,992,264,213,772,224,061,869,886,780,773,419,906,490,261,023,170,709,
345,972,959,772,929,101,450,862,909,279,525,530,250,647,467,494,711,561,272,
731,561,520,064,312,108,494,050,901,419,893,532,633,556,739,510,230,669,024,
700,772,741,486,632,125,185,946,299,984,316,268,381,459,036,381,325,159,837,
598,457,929,421,353,668,578,968,841,917,056,090,967,186,177,051,445,241,442,
912,888,198,624,381,252,096,076,606,359,376,827,272,108,159,270,324,591,186,
685,886,152,362,291,160,241,509,969,550,750,134,748,484,048,144,202,813,625,
902,503,068,326,899,469,149,793,447,861,300,922,063,137,189,476,510,542,587,
322,097,521,325,551,742,847,228,670,182,089,189,342,211,592,485,480,950,166,
369,470,478,176,671,402,555,916,603,697,356,620,671,963,778,400,126,816,153,
091,444,524,741,636,279,987,291,560,674,399,882,006,968,969,356,312,432,009,
029,167,396,604,896,150,323,160,869,148,688,134,674,402,042,544,799,459,080,
289,599,306,283,197,149,464,076,538,653,390,513,078,118,673,284,205,900,010,
121,292,423,471,896,771,465,147,044,145,092,377,322,562,956,096,813,072,145,
489,612,651,397,692,146,142,243,347,563,728,366,078,656,878,690,451,466,941,
808,000,725,537,235,659,993,465,581,375,191,599,349,281,211,614,107,704,892,
283,531,855,920,837,291,550,207,910,218,169,502,820,171,028,297,264,443,368,
674,615,042,270,803,236,863,090,674,166,032,982,623,207,908,748,499,283,539,
566,700,479,117,494,933,276,307,468,322,403,545,070,724,780,240,792,767,254,
410,522,105,276,170,898,111,244,082,793,210,933,957,038,379,900,375,293,961,
839,574,439,744,959,228,507,528,276,141,243,784,744,078,492,398,802,197,783,
250,111,067,404,248,828,691,949,951,647,287,895,439,300,676,229,575,728,382,
576,930,726,841,886,257,626,984,645,298,714,867,317,598,267,699,146,782,316,
796,954,774,782,515,729,050,116,866,875,586,123,404,947,508,634,310,655,837,
062,565,435,580,825,284,635,643,105,001,985,811,266,449,984,375,839,007,875,
445,646,359,974,169,277,075,710,025,487,563,295,660,401,258,241,132,465,517,
346,138,582,021,327,120,707,859,524,511,059,644,875,842,122,014,291,840,156,
925,455,395,239,877,091,002,845,712,860,541,181,029,914,481,005,272,174,058,
944,207,240,568,555,847,858,405,043,922,893,653,747,270,516,433,730,419,315,
898,356,328,015,124,205,160,424,095,573,948,500,724,009,009,256,416,543,868,
912,693,169,452,003,388,640,499,393,572,652,074,498,084,592,692,728,049,179,
922,919,669,471,962,611,883,936,581,660,986,679,977,947,867,226,978,610,659,
314,519,403,517,762,965,386,067,579,965,778,142,186,318,737,658,748,612,744,
429,044,461,265,659,007,739,450,081,367,735,449,041,040,803,272,891,061,619,
184,744,479,388,064,731,089,490,191,651,942,833,344,856,594,025,404,190,768,
516,487,792,954,790,612,579,020,573,076,675,222,914,875,403,741,036,181,836,
659,372,071,151,568,320,396,208,115,932,600,505,926,609,113,460,024,044,993,
784,773,421,537,233,342,037,773,286,095,658,121,575,911,263,374,099,313,050,
828,872,348,016,999,651,471,391,224,234,712,002,997,154,964,835,575,682,179,
158,548,107,087,110,792,971,992,848,395,146,540,182,100,064,632,978,705,821,
764,304,173,569,166,546,697,804,203,209,531,379,517,090,479,824,443,740,404,
109,999,279,769,539,666,054,206,017,448,630,143,821,716,426,029,981,766,504,
500,791,644,448,681,095,317,802,987,468,407,609,120,135,075,732,591,949,034,
616,167,471,650,364,435,307,899,174,179,476,695,362,669,220,924,286,569,016,
324,713,337,005,561,101,184,878,313,469,135,849,133,485,287,713,622,689,029,
376,302,972,917,432,811,039,501,937,846,191,080,489,461,659,975,358,877,389,
089,345,723,372,186,621,301,920,199,098,926,881,284,340,831,689,268,984,808,
446,941,591,910,606,046,117,431,987,316,517,605,193,263,692,883,262,747,651,
649,165,172,091,425,046,877,719,298,455,338,602,620,645,707,508,149,850,674,
962,432,283,880,830,360,489,235,801,037,871,955,858,233,932,397,484,727,232,
971,475,171,743,244,187,663,960,247,327,451,548,424,349,173,380,794,034,984,
497,351,541,617,346,005,743,822,995,988,856,448,779,756,509,354,545,085,269,
135,454,291,184,370,391,521,429,436,100,274,034,716,127,477,429,537,095,020,
181,300,577,579,928,447,364,322,169,692,964,365,296,697,994,784,328,866,731,
503,035,591,313,499,541,518,377,331,790,222,183,537,452,633,043,329,857,760,
186,045,040,416,278,156,940,126,408,830,986,133,183,764,012,000,862,959,453,
529,990,158,763,923,246,702,970,938,186,230,062,206,128,759,436,929,999,927,
865,474,092,739,553,655,237,696,082,785,903,769,190,209,723,213,610,695,924,
372,147,376,284,771,818,502,708,765,698,344,887,734,555,900,383,382,540,804,
470,050,971,607,984,979,860,086,909,462,096,232,523,906,747,971,295,893,852,
972,275,658,405,901,322,097,391,396,342,030,184,427,449,881,014,636,871,097,
028,192,992,806,324,161,962,835,755,301,175,147,051,124,725,790,874,757,616,
181,339,588,730,293,339,369,167,215,707,543,042,080,755,042,529,378,627,091,
108,884,347,855,294,847,970,725,958,375,634,156,150,035,800,884,942,057,487,
307,480,299,647,215,114,873,592,948,637,173,239,596,720,196,581,236,326,596,
329,549,190,018,528,238,667,596,917,183,660,283,875,137,163,735,324,334,793,
758,097,781,088,241,919,255,106,928,701,922,665,274,211,937,230,800,510,193,
347,901,912,972,924,344,469,529,908,456,716,352,231,860,604,989,328,664,820,
554,478,441,404,619,983,802,926,964,414,013,566,449,219,387,765,104,661,540,
139,559,524,665,114,763,359,477,786,573,526,150,050,223,187,645,074,140,572,
985,362,948,683,754,367,554,631,756,555,705,884,568,255,198,904,393,863,636,
106,380,131,510,992,877,022,849,424,767,391,962,714,516,728,814,216,687,889,
475,352,455,676,627,065,849,346,019,732,741,731,739,939,727,318,292,011,516,
633,727,972,745,159,904,121,060,965,023,976,007,748,879,575,034,949,747,029,
569,618,696,751,285,705,265,033,590,947,049,711,507,692,055,325,982,988,644,
408,680,187,101,722,730,054,506,997,955,290,158,880,002,133,238,033,843,327,
743,665,079,108,741,132,422,843,442,721,802,056,047,451,846,153,464,379,707,
765,358,897,873,817,402,699,666,964,277,411,086,986,928,599,191,926,391,911,
243,699,231,725,444,477,483,465,263,310,158,002,000,296,340,405,161,941,181,
844,503,557,879,639,090,924,117,266,490,610,908,682,235,286,834,662,066,889,
896,648,478,120,858,529,492,474,843,771,697,165,453,706,303,574,432,732,411,
528,530,300,238,115,728,415,142,736,915,239,209,057,358,677,123,794,494,822,
630,500,646,175,411,753,032,139,147,244,645,257,769,032,599,204,925,549,171,
586,862,276,896,679,719,334,867,944,056,673,890,888,670,679,680,136,344,128,
473,141,108,257,436,657,353,811,835,787,616,905,842,071,921,579,274,041,259,
555,628,707,568,796,938,133,229,113,717,444,182,113,840,646,560,839,461,519,
684,306,211,600,402,716,735,098,923,050,388,364,678,614,559,601,162,289,694,
345,244,682,591,515,498,155,889,067,690,118,689,890,803,353,641,496,248,411,
144,426,092,742,386,166,492,830,500,458,380,651,610,479,937,142,254,700,303,
157,763,159,230,278,132,226,280,953,960,630,936,891,259,226,354,629,161,609,
659,112,619,253,137,933,640,351,894,806,262,751,797,418,480,859,635,492,030,
736,982,690,865,823,255,361,150,781,329,036,321,617,528,971,965,689,949,751,
792,298,827,503,920,833,958,756,629,163,881,537,503,595,717,927,602,191,395,
281,181,002,882,321,149,879,370,115,187,566,818,417,053,115,545,057,723,130,
167,699,012,228,026,079,449,657,202,772,841,741,021,721,244,132,766,896,803,
292,288,901,374,626,314,546,842,205,358,336,723,416,523,869,009,907,672,491,
674,560,446,384,220,300,439,223,910,395,724,199,594,310,484,207,902,486,619,
877,595,114,309,483,677,621,470,078,889,577,692,623,803,720,266,572,032,378,
951,756,421,609,479,355,031,077,767,359,937,325,450,912,739,279,532,302,430,
065,561,636,149,667,592,669,673,506,983,318,227,305,825,499,185,173,990,055,
132,430,165,768,039,752,232,907,968,625,290,000,396,886,619,749,355,369,776,
026,724,946,046,687,599,325,735,181,400,141,416,611,610,331,591,243,248,465,
729,431,902,831,312,082,855,403,414,368,892,068,097,070,153,768,539,757,699,
230,473,122,660,513,610,210,518,239,330,726,290,547,632,626,926,114,907,393,
627,201,996,264,939,100,739,343,991,327,175,785,753,103,766,052,620,177,194,
299,329,466,530,249,642,074,512,857,175,910,523,522,214,367,674,770,739,245,
172,180,932,542,958,002,854,944,213,790,246,449,219,105,689,219,837,246,830,
476,557,366,608,527,303,244,651,177,932,613,710,595,648,754,026,747,281,463,
647,671,665,854,963,681,903,621,740,321,828,914,277,802,813,464,348,331,578,
420,232,962,116,879,394,648,757,705,150,872,378,843,666,397,228,493,308,898,
641,168,728,342,777,057,470,018,709,845,102,417,926,673,545,576,513,667,191,
212,579,826,261,622,576,501,770,198,185,243,295,247,226,577,448,168,887,234,
012,525,138,087,884,180,548,326,855,554,367,572,382,119,525,914,632,325,050,
173,997,967,223,004,622,644,428,878,770,289,654,167,689,581,266,300,649,405,
313,710,891,957,942,345,595,018,416,602,119,462,242,191,143,574,757,816,791,
064,112,470,820,569,984,040,757,774,645,918,451,119,244,761,623,383,158,248,
977,353,675,333,514,917,327,239,252,053,302,810,810,906,305,922,640,964,385,
840,109,811,687,824,212,552,670,162,358,773,527,572,907,889,701,695,419,420,
734,811,364,998,772,351,533,881,483,799,557,172,515,641,527,989,699,814,357,
590,194,100,638,705,916,674,469,707,889,587,943,359,279,983,628,809,848,482,
513,134,664,236,406,046,449,900,596,935,776,433,097,767,660,674,192,645,933,
688,312,311,368,862,948,244,579,265,435,070,061,596,273,332,696,482,175,899,
166,294,308,697,260,337,552,854,041,738,737,515,952,492,942,268,572,667,358,
656,445,342,420,580,125,742,449,494,432,348,550,567,544,254,080,247,537,089,
939,694,943,820,383,543,695,240,544,740,459,828,720,189,406,747,815,231,664,
599,976,895,204,231,668,182,523,006,586,283,778,928,313,175,350,106,264,537,
738,485,589,650,044,298,276,042,548,239,980,370,347,636,810,873,217,423,250,
342,897,390,887,418,890,998,672,672,429,837,400,459,163,353,876,149,927,508,
251,160,445,926,909,499,069,965,418,105,654,935,517,003,232,771,245,761,009,
493,891,873,423,157,353,910,347,010,760,486,425,117,589,494,997,091,955,071,
130,945,464,495,687,811,794,803,671,173,447,257,960,089,368,714,033,218,747,
358,183,488,154,928,744,782,643,555,417,891,548,558,975,918,343,752,251,290,
978,029,651,339,415,251,258,661,005,673,167,089,523,935,608,005,951,021,993,
208,496,312,579,930,207,564,877,339,054,333,426,639,516,993,096,298,806,268,
770,571,519,520,317,743,939,071,751,205,356,342,980,777,694,509,786,594,532,
422,324,678,643,027,660,981,105,547,944,408,569,752,654,028,284,184,621,834,
495,673,561,313,133,774,787,097,617,093,349,215,090,883,965,656,055,631,112,
035,812,856,167,005,558,400,014,477,831,117,784,844,426,653,175,180,516,685,
069,120,048,473,874,360,880,184,447,982,220,008,104,281,452,562,838,290,616,
338,806,681,461,970,032,319,546,338,965,520,221,075,437,133,988,285,607,054,
516,837,353,126,125,679,702,447,264,542,329,733,447,390,894,127,719,658,763,
271,347,653,421,376,883,199,315,539,505,713,617,406,699,578,724,695,402,376,
625,786,535,816,584,103,804,318,104,660,930,591,096,950,242,068,802,385,581,
284,492,804,803,501,567,514,010,835,407,659,336,536,717,938,993,545,895,752,
915,196,642,684,545,790,017,422,563,196,468,404,734,997,883,850,971,912,618,
008,919,623,730,984,061,910,498,729,487,643,592,176,486,154,663,861,671,864,
571,594,308,907,763,644,373,631,740,277,363,865,705,798,817,146,297,142,660,
193,114,307,893,104,552,328,226,992,638,767,068,769,945,589,119,504,048,112,
893,333,373,769,287,159,563,374,605,944,147,078,669,909,514,439,299,564,770,
166,124,599,759,478,382,058,724,764,665,120,439,521,104,655,197,595,754,578,
090,180,528,700,897,809,239,749,859,438,240,786,523,908,927,948,930,538,064,
049,528,440,946,927,425,809,335,776,171,132,020,252,150,889,107,371,722,824,
379,058,673,992,594,637,016,802,243,782,945,122,149,317,089,182,952,794,890,
154,599,997,329,844,832,119,429,090,056,744,114,324,334,601,809,851,981,218,
590,105,148,305,695,912,050,691,061,881,367,712,616,454,084,402,280,122,487,
258,563,367,059,782,282,497,900,600,776,127,974,882,372,503,346,854,197,230,
851,744,811,741,307,766,480,121,013,171,646,656,920,602,678,396,858,745,584,
872,745,134,449,209,773,857,280,458,868,151,077,893,993,071,968,703,242,422,
707,168,062,479,780,187,870,594,614,086,636,312,759,480,295,374,683,559,631,
239,981,554,574,232,450,844,084,070,086,323,430,632,327,060,617,472,057,961,
187,192,630,502,348,854,296,036,243,278,797,598,605,094,198,075,321,813,380,
418,352,952,058,038,443,950,306,073,283,565,532,097,873,823,435,314,195,481,
022,870,184,831,581,226,547,460,181,500,972,527,016,672,068,334,653,113,685,
651,796,368,786,221,529,854,706,571,061,622,838,615,260,916,244,251,655,838,
246,495,993,567,542,918,312,510,776,838,004,729,253,933,771,602,280,833,152,
539,377,148,652,496,331,951,395,563,166,205,806,626,390,151,147,515,731,411,
158,509,017,342,177,819,029,587,405,193,094,738,026,780,244,069,483,392,372,
387,228,459,400,223,382,597,279,132,699,053,098,154,844,221,797,433,156,456,
621,697,330,200,288,786,574,539,649,145,293,353,459,560,294,162,041,260,448,
133,855,350,814,556,941,749,554,956,873,386,181,939,279,256,111,517,380,517,
359,668,333,013,237,790,853,634,273,978,192,752,086,393,005,012,317,259,544,
868,322,794,673,353,865,515,301,231,396,952,123,784,359,893,137,054,626,974,
850,090,728,195,489,940,624,757,096,980,904,335,150,476,878,606,150,555,961,
711,718,047,677,248,725,663,256,125,281,368,515,417,578,912,292,804,401,576,
682,093,651,568,624,359,893,980,002,781,028,670,014,896,414,744,096,093,433,
056,342,509,074,274,942,059,192,560,356,766,773,075,377,762,351,277,220,837,
766,923,689,487,042,229,306,436,749,943,949,829,771,461,861,271,180,343,440,
479,931,465,840,583,383,825,889,875,841,291,126,270,491,662,383,463,646,739,
346,562,868,920,461,716,307,065,473,385,725,178,214,122,180,673,808,964,128,
226,608,247,975,867,717,768,399,490,625,284,013,099,476,124,282,295,272,465,
650,417,180,395,401,198,931,917,895,069,551,391,123,768,515,494,024,735,403,
281,382,852,073,069,899,078,205,210,877,915,430,569,812,435,561,457,235,268,
895,203,868,535,516,793,247,369,581,698,185,661,678,703,565,877,108,542,175,
461,643,021,960,328,960,292,838,324,538,987,071,964,629,869,985,766,590,973,
504,586,700,420,608,824,560,205,872,815,188,591,065,043,748,977,981,009,776,
366,935,458,382,790,297,324,611,622,464,801,015,080,007,549,588,109,466,443,
106,301,560,933,198,965,241,810,892,115,430,197,401,775,963,780,964,120,486,
199,948,905,589,918,256,041,421,184,411,657,027,753,961,357,448,642,547,370,
548,987,051,550,213,279,227,586,282,404,823,531,150,824,861,049,250,467,908,
842,356,081,813,906,312,670,132,924,343,939,611,056,579,393,131,125,461,693,
811,709,044,033,756,786,274,264,177,493,552,715,846,908,155,496,517,501,339,
350,605,632,828,553,008,706,907,282,629,804,409,899,072,917,415,256,244,635,
746,587,180,664,486,857,015,231,664,504,681,897,121,796,718,684,964,982,496,
695,369,892,807,627,808,219,714,975,972,874,953,915,855,168,951,907,717,962,
226,771,598,681,281,522,078,190,134,484,336,512,354,781,024,308,552,771,532,
753,724,451,540,849,010,368,731,821,230,551,987,292,456,973,825,910,703,916,
643,753,464,482,008,478,832,231,869,200,660,960,649,499,065,955,775,871,636,
964,423,601,634,505,568,374,019,258,166,652,745,302,687,048,827,476,817,149,
950,392,664,259,587,010,501,032,119,157,754,316,820,455,222,216,574,924,538,
216,435,278,449,809,175,696,811,193,282,464,084,904,667,627,854,578,183,299,
399,886,288,259,870,495,229,857,584,905,262,896,659,743,174,460,348,802,348,
980,850,353,950,699,432,478,087,957,500,606,875,275,247,390,214,313,263,520,
834,254,072,345,143,747,653,035,322,190,919,369,847,668,107,368,045,758,551,
375,515,485,224,955,887,700,948,221,509,192,975,998,163,623,637,542,075,845,
840,223,171,104,680,760,939,341,699,642,246,084,059,596,433,530,490,366,405,
154,678,559,743,332,229,949,437,573,517,527,806,702,122,770,355,788,191,524,
081,439,548,197,486,899,411,977,629,868,654,761,236,993,142,796,271,687,363,
454,456,215,341,898,691,911,214,580,617,950,428,198,132,486,415,334,588,426,
776,680,133,383,338,572,745,418,285,130,853,635,770,966,955,574,805,427,903,
177,605,023,301,926,160,656,842,052,726,901,399,884,008,820,725,450,603,460,
361,651,053,731,061,230,529,826,077,791,213,244,022,603,701,735,491,826,624,
721,262,590,839,277,320,815,265,256,450,156,908,397,943,922,697,892,923,165,
145,286,842,714,959,595,223,680,159,369,913,140,696,822,862,578,603,393,241,
995,625,548,417,613,754,752,317,073,854,673,393,344,945,920,658,267,534,955,
853,405,822,319,290,565,646,600,853,212,540,970,909,714,922,277,969,389,485,
753,182,867,168,916,371,925,352,349,894,784,257,622,367,518,464,768,401,827,
917,031,699,853,000,689,291,982,646,612,632,450,662,824,070,367,160,925,632,
216,507,863,634,590,825,290,277,469,344,663,409,886,388,182,484,314,389,411,
938,053,199,230,383,454,118,352,345,670,495,781,541,417,398,693,433,154,823,
521,039,987,166,195,329,634,120,766,189,557,630,244,930,648,748,305,486,794,
203,116,335,698,255,204,584,359,570,253,655,545,107,253,498,455,781,870,446,
473,037,192,968,428,186,367,209,651,429,134,899,688,035,813,428,273,271,856,
189,389,060,240,300,161,593,802,265,702,029,848,248,276,351,019,488,279,165,
702,439,147,728,942,403,238,418,074,502,604,230,380,341,565,417,653,176,816,
205,661,239,771,703,853,921,427,282,924,921,495,739,307,256,405,033,843,006,
791,149,051,558,012,144,838,692,017,978,919,397,241,118,391,807,378,414,396,
754,195,279,265,790,380,217,964,797,727,672,138,837,140,676,346,723,476,956,
618,729,917,598,021,612,070,212,539,617,731,815,443,036,845,190,269,753,503,
708,194,094,704,601,576,975,091,996,658,746,105,328,524,774,778,243,708,839,
826,421,136,710,903,926,602,849,003,463,489,004,803,859,816,612,665,819,531,
506,027,331,292,058,436,616,754,265,802,469,800,448,879,136,041,042,645,769,
179,308,132,420,228,594,227,550,244,005,255,270,836,970,448,707,622,735,987,
071,017,413,813,950,383,456,029,659,227,353,185,892,790,256,622,439,068,591,
823,920,433,366,612,018,545,041,959,536,705,929,120,298,390,082,607,964,391,
436,778,367,508,019,302,133,829,996,263,016,561,894,992,083,981,897,211,680,
490,677,653,905,786,601,920,329,694,533,818,795,895,758,758,128,548,230,982,
005,163,937,291,979,562,014,877,354,670,100,670,853,704,791,374,388,066,966,
624,798,943,471,648,355,878,736,926,997,929,038,368,477,753,546,793,545,833,
288,019,696,342,059,499,829,328,666,046,152,180,852,205,023,663,892,278,754,
806,294,926,908,816,475,363,500,996,017,203,990,180,741,723,536,057,086,372,
142,840,550,824,694,491,596,095,541,842,860,053,457,746,159,065,080,591,785,
245,657,049,573,963,477,625,795,307,196,698,573,071,311,026,067,023,506,793,
536,096,048,810,989,432,234,018,602,103,331,386,908,581,958,489,033,443,905,
932,389,305,578,688,910,185,539,643,836,803,208,324,737,983,599,391,845,126,
967,390,448,959,508,007,740,371,857,715,088,795,708,728,338,422,229,178,380,
352,370,372,351,561,100,120,463,347,540,074,198,654,230,313,489,918,689,969,
715,265,089,044,526,375,801,955,240,025,078,094,993,200,720,958,326,290,446,
622,124,400,006,332,885,161,876,055,326,622,280,482,836,842,507,393,754,675,
687,138,201,067,751,014,362,311,067,312,980,794,833,557,235,583,120,737,778,
216,669,687,147,260,945,393,080,505,034,546,449,023,187,074,237,340,573,952,
234,732,876,128,477,615,349,982,068,603,437,620,359,585,408,652,502,356,334,
113,794,636,305,000,804,976,408,783,711,926,667,611,503,818,919,159,921,744,
016,031,425,800,836,388,090,096,529,692,310,405,408,917,148,612,961,403,547,
465,456,453,259,397,927,339,724,564,899,512,167,590,432,174,158,319,648,845,
056,828,644,013,757,665,530,917,017,367,209,799,000,460,921,834,422,440,953,
158,662,809,526,956,554,488,769,471,390,443,898,094,878,137,843,118,818,126,
982,488,329,315,919,996,478,040,441,079,108,091,878,656,338,664,581,080,329,
373,498,634,772,470,391,464,345,322,355,960,704,032,325,301,635,958,948,004,
494,687,191,718,466,799,384,215,738,308,530,420,853,345,881,724,560,011,309,
122,254,518,531,419,645,265,676,516,065,226,268,808,353,160,754,745,916,317,
919,879,270,402,806,945,391,919,477,582,584,797,537,349,891,127,007,708,150,
857,740,080,416,558,914,767,376,824,249,751,938,380,263,701,633,027,721,766,
461,973,189,072,100,436,030,172,726,192,717,653,189,938,930,956,986,838,060,
213,278,957,821,250,454,116,924,323,074,303,790,099,876,090,477,964,626,256,
563,812,698,095,426,123,661,402,805,952,134,687,569,484,889,001,327,678,019,
362,407,455,189,545,786,538,548,190,081,113,818,017,118,795,719,945,467,049,
448,774,994,316,152,316,682,668,815,770,512,323,182,202,438,970,154,271,889,
026,641,802,637,924,799,349,453,299,714,226,440,743,347,582,293,110,842,094,
480,043,788,761,619,115,269,474,754,935,510,268,797,368,153,267,744,078,030,
469,846,425,527,111,834,777,978,821,798,353,816,115,852,066,238,883,609,542,
939,145,844,303,388,395,645,385,268,266,334,687,571,661,119,294,972,546,859,
271,241,651,327,003,367,220,347,943,715,704,937,112,704,575,405,274,533,603,
983,867,333,781,300,382,803,417,345,320,905,835,571,615,774,313,601,849,480,
388,488,291,943,175,702,647,721,070,915,090,968,552,969,365,835,760,593,354,
998,063,168,339,960,961,423,842,213,728,437,556,595,344,033,657,724,913,956,
918,288,812,418,732,292,866,981,301,381,498,597,420,812,790,779,372,761,716,
667,141,077,302,645,115,892,446,811,899,753,336,871,056,101,539,686,334,003,
737,100,414,325,632,889,806,341,267,731,429,612,707,342,314,404,780,754,665,
081,987,287,051,710,803,921,321,779,357,403,983,457,419,016,558,989,999,100,
363,135,801,234,555,889,941,899,997,511,737,631,179,516,096,069,393,815,919,
458,177,805,967,934,615,628,829,597,575,974,044,500,006,321,939,661,318,619,
588,276,532,609,559,466,401,823,716,188,580,322,129,210,258,956,321,961,213,
322,298,693,586,851,939,305,596,366,507,743,248,807,112,329,036,615,089,369,
513,185,799,279,302,661,794,601,615,672,869,927,409,920,832,359,168,632,472,
850,022,784,125,866,968,311,931,240,856,072,272,758,791,457,007,249,643,568,
615,048,701,466,918,083,682,424,246,759,573,375,152,093,450,709,870,722,104,
561,182,612,700,647,402,682,046,509,023,055,493,472,433,085,187,860,742,645,
192,469,832,323,836,049,255,774,317,982,399,071,041,639,673,997,051,263,543,
465,423,104,275,471,222,776,863,875,898,210,932,748,987,842,285,035,579,747,
546,821,933,953,321,816,899,750,553,973,983,454,699,435,540,728,622,094,638,
682,776,834,409,517,227,614,091,600,897,301,200,128,795,372,627,418,880,554,
910,000,082,543,013,583,212,174,266,032,419,865,337,222,687,448,298,754,198,
130,034,308,544,647,115,676,289,230,348,842,567,735,091,556,023,878,683,283,
345,566,907,401,441,337,555,709,316,867,550,972,959,177,169,549,064,162,035,
879,408,014,679,167,323,528,204,361,519,111,024,246,844,445,589,909,886,542,
473,331,678,404,357,119,283,055,023,983,409,244,856,980,916,177,077,780,300,
962,862,114,991,847,419,356,024,677,568,531,726,966,881,349,248,038,542,969,
439,201,083,271,228,618,316,125,810,943,999,626,820,294,759,855,841,200,949,
996,326,091,596,033,214,732,034,912,522,170,650,384,136,281,761,315,950,691,
870,402,261,230,396,780,410,791,447,997,023,046,688,643,382,155,619,413,328,
527,585,550,325,217,499,408,620,663,645,732,205,453,992,029,587,843,387,129,
617,330,106,613,717,346,111,370,684,531,413,112,635,924,320,440,085,519,560,
184,963,076,922,853,364,611,960,483,251,599,976,338,220,523,594,789,796,236,
409,383,700,303,371,656,798,896,746,817,706,678,598,430,557,099,891,758,191,
312,605,603,119,503,058,247,810,785,264,101,472,580,675,439,382,853,407,500,
196,420,757,113,559,705,869,205,498,070,998,095,959,754,811,850,017,378,029,
565,532,683,040,904,957,165,700,788,025,472,095,608,616,162,441,942,710,045,
096,684,612,867,509,469,512,480,937,084,712,326,165,169,276,300,397,305,781,
596,812,952,679,444,074,533,316,652,104,556,368,119,992,074,128,988,954,343,
111,231,587,747,738,235,853,158,233,064,284,607,679,537,477,428,579,253,600,
853,803,519,875,110,370,115,414,954,713,756,933,711,443,180,522,651,617,344,
856,356,986,252,287,529,318,339,418,921,592,939,593,483,296,887,251,919,731,
837,110,329,335,715,044,071,240,131,153,452,178,503,002,329,808,145,640,716,
976,891,271,570,533,878,216,382,528,685,538,240,216,843,180,864,526,990,176,
400,838,374,941,053,885,346,739,579,096,364,733,856,408,933,430,732,718,424,
233,704,933,468,708,587,718,435,303,533,718,177,628,259,011,370,810,190,983,
502,643,270,935,078,489,704,175,124,192,064,018,807,352,898,955,331,907,726,
972,187,589,284,657,768,701,588,826,387,550,631,138,298,986,245,899,594,327,
255,239,766,546,655,316,421,420,145,134,178,401,831,400,515,227,270,400,410,
204,256,189,736,817,944,569,890,468,093,846,875,350,250,782,281,699,063,178,
949,986,145,357,794,557,847,372,138,251,592,174,521,920,756,515,965,173,065,
272,003,854,089,067,436,543,696,339,795,697,862,944,752,039,112,758,193,055,
639,419,292,071,930,876,544,030,145,223,497,256,069,920,229,638,627,616,125,
854,825,750,180,649,484,769,933,189,604,425,837,812,252,153,903,582,344,064,
712,032,116,149,584,785,822,468,350,275,211,897,728,552,349,107,052,322,036,
732,012,739,719,208,407,588,577,506,520,065,496,639,969,601,532,189,691,743,
563,849,827,216,920,468,959,335,037,040,289,317,382,931,110,811,779,603,141,
208,114,400,481,342,111,706,574,233,230,411,799,156,303,568,823,404,852,416,
866,059,484,678,477,776,174,809,919,173,020,495,547,734,819,907,408,428,329,
895,614,482,675,244,542,926,552,332,447,503,860,816,969,931,632,577,484,060,
644,908,336,153,197,016,056,231,626,353,496,452,753,231,404,221,786,834,714,
108,033,372,812,102,304,038,746,625,813,651,466,574,298,069,033,258,890,097,
336,141,012,144,007,576,057,513,319,940,362,872,175,189,694,904,048,958,144,
571,669,230,805,575,163,842,587,004,892,627,091,210,433,406,587,816,412,902,
607,999,127,489,141,317,757,728,239,871,945,911,290,888,633,592,086,254,651,
070,558,405,945,963,756,342,249,154,697,856,382,473,102,139,987,979,179,916,
329,111,538,452,664,107,646,199,304,035,574,138,399,915,847,654,537,658,094,
363,996,298,380,169,979,319,450,174,358,457,288,984,415,728,847,642,752,748,
601,045,758,228,721,298,934,053,347,684,069,024,165,780,019,860,734,476,889,
641,739,216,856,202,588,485,352,237,344,633,926,979,243,186,404,137,922,133,
266,837,849,989,582,665,193,927,398,917,007,508,529,957,191,618,250,997,046,
844,631,538,803,280,207,980,422,827,325,848,975,313,865,044,834,952,354,689,
251,436,725,850,131,895,124,068,603,061,033,228,922,352,021,457,945,786,994,
503,927,194,465,481,818,276,704,113,445,871,448,425,748,558,828,100,683,181,
151,838,435,138,369,085,499,117,846,111,479,089,962,119,108,117,708,505,420,
116,014,020,303,929,591,529,790,793,816,793,985,886,282,973,276,422,871,832,
091,024,662,908,844,043,964,389,434,046,451,272,241,062,774,591,339,187,981,
045,661,446,849,497,519,448,485,334,669,030,988,134,117,401,323,275,128,301,
026,130,224,781,906,307,984,888,249,701,636,644,376,683,997,072,171,577,157,
600,800,304,573,627,680,037,513,980,910,049,021,475,999,601,817,650,044,169,
986,865,532,295,387,943,893,638,991,906,507,124,985,189,310,556,833,730,150,
292,642,394,258,768,342,002,248,110,249,810,589,360,979,969,649,359,633,354,
350,286,190,492,462,880,585,612,505,441,187,442,258,375,520,975,649,691,703,
690,898,401,496,300,639,853,654,597,383,988,879,594,832,726,971,288,747,851,
897,966,938,053,400,219,014,018,086,495,151,073,358,993,493,106,132,273,946,
660,592,975,667,178,922,849,207,300,136,945,800,067,030,636,372,306,485,991,
061,117,770,537,864,062,900,797,619,207,182,466,292,014,569,550,541,452,968,
116,482,206,373,170,985,040,532,527,746,421,849,046,930,193,206,998,768,997,
139,481,589,573,590,058,611,487,703,217,913,356,598,012,427,481,992,143,968,
244,497,575,015,021,008,752,164,108,725,738,345,886,821,441,008,493,816,820,
867,775,393,738,658,959,273,111,822,729,146,461,865,213,231,290,005,531,290,
972,646,590,951,659,652,029,845,291,481,649,709,387,431,370,220,863,740,096,
453,888,470,279,661,793,805,790,513,717,799,533,641,626,778,248,963,082,727,
971,180,744,133,563,384,732,973,212,251,708,106,410,356,018,128,328,366,368,
077,193,468,540,615,267,869,875,374,438,580,465,621,939,179,572,210,148,183,
350,320,465,389,863,086,837,500,879,078,849,044,797,956,386,330,762,598,470,
455,706,777,510,620,142,046,026,107,897,099,913,416,671,074,542,603,644,127,
418,318,049,962,633,030,315,409,817,060,798,144,249,473,762,108,595,747,337,
339,183,045,773,623,846,425,870,880,715,523,751,701,795,931,338,264,837,169,
201,938,931,887,492,815,252,374,162,082,604,658,699,964,630,559,617,496,973,
487,947,884,549,518,024,396,433,790,038,707,204,453,096,725,009,713,931,998,
269,720,787,050,331,159,662,853,703,507,977,763,305,323,843,111,155,428,496,
464,646,511,867,594,265,395,279,015,869,029,453,589,494,786,610,153,016,001,
255,809,961,144,721,419,081,964,644,004,651,988,924,658,000,373,425,333,176,
007,821,658,187,753,378,521,129,967,688,748,497,675,213,170,651,001,110,011,
464,489,198,245,579,283,311,472,307,947,868,377,845,179,353,387,724,288,450,
607,032,753,042,411,574,918,467,134,455,445,182,178,952,367,014,915,780,760,
571,137,609,705,740,031,612,935,236,113,793,092,978,446,095,817,376,161,277,
663,908,953,987,546,761,506,416,835,069,916,139,313,544,528,519,701,514,042,
714,669,025,129,466,710,144,987,162,236,991,750,653,250,816,015,532,009,578,
876,501,894,749,230,598,424,687,825,102,582,242,071,245,239,085,448,385,948,
362,130,435,525,374,220,285,005,814,560,968,837,229,895,894,527,778,667,687,
314,529,857,837,417,798,697,391,075,178,806,040,797,619,242,400,028,979,800,
735,778,284,390,493,182,092,555,205,955,740,689,963,874,543,862,715,104,466,
411,832,861,460,279,988,353,390,678,260,240,332,140,075,180,841,499,186,267,
126,356,189,600,771,455,945,742,463,342,073,892,112,833,947,702,177,314,732,
189,088,851,561,709,334,285,719,240,361,556,672,735,879,952,122,293,918,100,
926,327,858,333,876,458,361,445,089,627,557,554,173,883,861,630,492,922,417,
596,829,306,608,322,063,769,734,641,449,652,201,356,677,628,445,476,693,918,
188,730,191,668,831,787,434,830,070,858,621,086,276,205,614,021,069,803,161,
931,480,165,095,287,752,426,305,143,320,447,625,498,478,526,938,314,380,173,
638,027,626,285,937,685,651,546,122,217,153,661,074,427,561,291,582,867,713,
746,486,893,514,394,655,820,102,335,597,906,726,445,337,572,777,217,961,501,
906,443,969,421,323,491,899,839,062,657,818,589,797,767,500,950,758,381,234,
330,508,387,620,892,026,545,322,979,253,664,178,221,643,740,265,663,402,669,
615,708,954,454,933,998,009,249,308,353,682,964,909,391,831,832,489,412,699,
002,330,185,820,119,672,903,454,704,508,127,979,548,687,766,564,194,711,417,
228,844,419,504,951,238,109,147,179,937,124,574,604,237,343,629,539,539,086,
053,149,116,685,306,696,929,632,725,246,528,355,286,653,426,561,586,518,376,
751,763,327,873,794,360,376,209,569,605,650,447,325,440,906,885,995,879,539,
684,384,292,829,526,700,068,113,905,987,469,295,648,063,248,279,814,402,476,
797,008,795,265,512,583,814,657,064,870,162,017,113,294,801,565,574,454,082,
825,805,491,305,921,830,967,089,082,090,822,668,293,191,275,312,265,452,973,
195,371,501,363,746,611,944,440,901,105,533,126,775,607,607,779,654,579,788,
880,215,617,204,747,335,747,378,885,835,857,408,043,356,670,471,360,684,010,
709,761,699,272,753,451,951,534,245,435,461,900,765,850,081,965,958,431,344,
092,519,051,405,452,491,896,956,737,704,262,113,741,414,327,053,834,583,805,
055,829,538,833,623,994,075,717,468,600,460,250,638,284,926,998,314,764,823,
570,813,806,480,185,037,939,333,187,576,877,971,834,792,392,987,447,832,204,
583,757,250,867,750,053,048,949,134,605,700,389,486,086,002,195,047,631,861,
776,222,368,539,260,595,747,331,524,802,384,620,766,242,973,385,751,023,716,
524,450,406,335,077,342,970,766,921,420,162,381,227,104,069,903,083,872,921,
901,399,810,710,831,731,787,237,834,324,251,294,083,048,411,756,354,817,718,
844,084,638,602,092,671,202,252,684,300,199,013,100,778,437,898,226,337,348,
072,025,444,023,698,118,567,534,663,885,930,665,777,217,209,724,685,646,224,
980,825,754,222,545,328,252,890,872,011,252,393,620,969,659,584,883,206,982,
361,845,198,945,028,616,035,515,460,969,058,684,525,044,755,489,142,389,934,
104,899,889,294,163,584,463,002,392,271,951,370,302,404,162,968,330,504,685,
797,150,823,933,358,801,206,595,696,287,939,408,165,694,959,734,707,741,130,
435,825,091,798,132,772,041,526,475,758,209,356,561,538,714,427,859,656,241,
759,179,616,305,517,053,545,948,569,021,322,546,123,714,657,200,501,769,580,
180,162,196,614,625,862,350,490,193,264,479,991,375,056,250,638,410,022,996,
779,575,068,619,855,104,283,811,443,912,421,558,642,038,470,088,559,319,458,
106,079,753,213,106,816,983,374,989,944,349,846,854,592,860,931,314,933,217,
454,790,247,129,748,321,352,455,959,566,146,260,024,722,124,644,098,729,362,
005,672,051,502,678,874,562,324,277,730,718,806,365,435,172,909,942,014,918,
533,802,683,037,709,402,296,359,044,819,595,659,931,767,421,482,037,111,098,
080,452,613,886,328,386,828,279,831,849,780,760,600,245,177,664,855,733,281,
954,646,501,405,663,209,609,600,053,134,284,999,977,295,797,554,629,408,309,
140,273,365,851,070,397,453,076,290,979,875,614,921,314,898,093,906,166,490,
635,515,125,329,865,716,349,838,885,579,377,347,628,388,296,762,635,860,886,
315,765,441,691,451,955,640,139,133,382,463,648,473,632,543,757,664,788,615,
949,666,034,612,518,641,101,471,551,918,776,351,321,110,911,401,243,321,448,
725,665,891,345,476,539,155,712,666,224,403,990,519,493,996,532,614,460,178,
493,460,241,346,193,614,174,274,497,811,478,661,006,479,946,790,507,382,610,
379,166,276,146,119,573,706,468,298,715,245,034,354,965,416,390,440,263,382,
124,067,836,267,605,579,951,949,563,339,695,280,016,641,030,328,452,462,470,
558,076,197,306,150,132,996,165,950,303,428,088,557,720,207,635,237,853,219,
246,568,832,312,804,216,860,490,577,479,311,220,143,140,700,575,862,241,204,
231,791,566,566,284,268,745,209,865,259,204,472,899,140,349,309,036,556,527,
113,804,455,861,031,386,821,930,724,780,533,577,581,379,475,740,208,893,308,
135,704,865,698,097,454,075,773,857,638,442,342,750,178,328,818,463,276,070,
736,040,289,501,334,772,686,517,752,301,244,107,809,935,189,890,271,754,505,
361,669,242,827,129,449,439,617,611,932,963,597,300,552,391,467,948,710,139,
487,238,074,696,383,818,388,952,979,651,785,607,137,964,007,135,503,341,060,
256,229,941,996,032,872,137,875,295,114,524,306,500,164,794,116,522,394,755,
750,109,185,336,469,471,138,106,422,420,375,925,610,107,015,823,495,755,839,
912,219,835,957,245,796,302,925,280,274,982,222,383,797,722,901,353,003,326,
354,359,727,545,806,736,592,243,728,182,446,929,102,215,751,078,337,460,610,
100,904,153,641,224,770,743,000,446,091,682,259,609,193,969,035,546,263,295,
599,502,551,631,725,634,541,431,586,848,516,955,260,908,275,260,569,553,543,
151,099,324,044,594,284,538,223,545,479,913,497,485,722,620,847,887,251,616,
670,757,130,347,491,537,499,066,185,492,784,039,614,247,697,972,396,121,694,
876,043,668,802,267,684,211,568,777,040,320,494,760,516,937,084,343,220,499,
778,985,587,910,228,638,665,282,698,598,171,009,334,809,742,258,437,512,850,
459,671,367,603,853,133,541,395,672,251,655,459,020,136,932,947,911,173,751,
620,433,293,744,716,427,566,361,261,311,269,060,297,729,085,118,442,252,508,
664,023,770,181,969,762,339,739,788,821,501,435,296,585,832,033,021,917,214,
353,414,472,353,128,667,562,259,035,406,584,708,732,157,553,204,321,367,434,
821,150,613,174,485,231,284,189,640,274,624,171,310,821,159,999,151,481,399,
709,236,253,602,291,032,152,066,303,241,373,549,837,810,698,296,408,381,329,
404,236,570,389,406,241,229,418,993,492,144,339,618,861,899,942,432,823,273,
955,856,656,649,272,551,074,896,824,370,523,229,803,675,212,676,315,461,411,
597,134,346,494,320,456,492,287,764,077,058,072,067,731,633,994,337,901,620,
005,558,577,182,164,419,703,603,605,163,848,050,338,879,567,914,138,154,946,
386,732,706,764,396,100,726,453,360,789,657,755,825,985,509,316,366,564,707,
124,362,114,913,302,205,984,640,125,208,796,488,238,582,392,477,972,000,298,
932,599,613,941,262,652,877,300,139,951,025,204,191,474,497,629,130,695,603,
989,300,893,197,676,364,585,500,872,106,070,801,484,854,091,541,895,578,663,
386,131,598,868,083,438,876,016,173,935,564,460,294,613,077,225,586,101,330,
797,295,161,277,027,514,473,934,065,070,730,070,836,922,078,251,482,853,182,
039,824,336,034,848,725,446,172,265,740,180,490,467,770,591,701,974,487,178,
744,878,847,814,195,575,886,783,941,147,103,392,108,227,990,248,943,366,902,
211,720,828,250,246,553,426,787,785,109,427,252,072,217,119,004,434,076,732,
560,065,528,387,704,933,659,917,018,442,572,721,187,415,016,998,406,888,630,
372,036,473,057,079,360,596,331,355,717,490,789,652,618,049,120,311,896,067,
666,435,864,516,646,258,993,612,371,167,856,429,998,916,642,632,619,212,153,
009,209,881,064,977,397,906,356,852,594,304,853,397,872,893,776,322,580,689,
180,865,313,077,776,503,366,346,018,751,189,239,197,686,144,996,151,630,248,
192,242,429,255,957,905,723,549,315,416,139,697,202,900,292,500,972,567,778,
175,546,777,311,029,292,060,535,122,142,048,829,824,083,451,414,962,209,952,
945,750,460,954,006,765,541,445,548,607,179,595,820,759,579,834,995,390,571,
664,446,392,208,979,614,227,578,864,536,870,796,926,347,439,323,115,805,047,
697,896,731,345,634,720,633,367,646,957,093,428,605,842,797,815,764,860,459,
263,616,545,294,759,968,257,955,601,237,552,827,600,057,179,242,496,812,047,
873,832,557,730,787,738,073,055,021,221,513,341,283,806,032,081,873,566,999,
988,138,129,908,438,888,368,621,149,554,368,169,489,535,290,577,604,127,837,
730,625,334,391,800,031,719,140,579,337,021,964,219,651,034,661,603,209,369,
507,563,530,879,275,215,691,275,063,125,299,251,078,995,947,663,552,083,141,
572,726,090,839,892,673,365,890,576,681,035,110,440,818,300,879,224,432,004,
039,449,730,282,298,237,606,158,661,076,709,320,184,234,735,548,467,013,683,
068,218,762,579,145,727,081,902,933,559,966,646,638,518,643,060,523,682,218,
880,107,021,052,952,663,211,351,372,340,417,448,961,977,913,235,971,038,215,
875,943,589,618,446,424,386,526,214,304,765,103,564,326,329,729,885,458,289,
751,256,786,148,340,248,739,746,960,846,859,934,494,544,540,585,155,817,495,
792,218,616,924,855,887,832,109,383,499,421,274,380,700,959,088,362,077,130,
691,546,719,521,630,955,173,912,013,170,060,476,444,199,519,278,036,704,698,
928,313,112,504,529,633,593,901,874,717,085,741,231,386,683,484,765,711,665,
740,587,886,121,481,618,892,946,283,265,928,716,251,571,974,823,219,784,838,
670,527,742,277,095,348,441,951,831,162,701,190,782,644,931,671,192,077,121,
868,753,948,207,602,725,810,074,378,742,410,813,690,724,400,755,099,899,607,
539,317,497,211,496,021,065,541,331,566,186,962,856,670,661,860,685,044,942,
134,960,822,625,505,568,109,559,556,464,341,546,803,437,437,623,647,045,360,
018,841,085,015,343,624,212,111,625,203,138,371,021,843,075,599,948,808,200,
871,990,426,333,265,947,947,410,111,487,952,235,142,461,813,438,602,594,263,
777,712,569,538,720,879,097,729,287,004,871,756,302,214,542,354,583,950,922,
999,871,022,156,379,566,892,931,888,182,630,693,059,049,874,042,241,389,200,
279,249,255,313,106,671,991,432,506,977,033,412,829,504,886,237,622,949,073,
335,805,430,122,280,250,318,307,877,242,404,071,529,528,021,756,379,235,946,
356,332,204,641,284,536,600,974,495,403,397,019,379,361,916,694,854,229,636,
250,635,651,165,292,667,099,618,754,795,090,385,855,616,932,834,711,532,354,
439,957,181,215,367,723,326,025,233,388,095,526,263,442,982,921,944,213,927,
784,471,845,036,107,812,609,448,870,619,986,318,084,234,260,875,872,796,984,
927,183,861,348,293,096,801,569,332,642,237,852,697,298,466,959,393,044,523,
046,218,993,066,872,553,440,481,466,573,214,043,908,771,872,723,305,663,995,
787,464,599,201,580,060,161,856,958,338,944,844,576,579,277,190,380,113,839,
136,423,428,152,766,216,040,187,953,356,637,927,986,481,303,103,138,798,505,
467,544,646,339,264,067,870,774,444,199,688,140,022,461,059,951,774,782,299,
165,344,245,392,260,786,101,223,689,317,792,427,187,474,622,142,258,330,539,
217,203,940,536,504,050,427,725,227,867,501,897,027,580,336,461,471,141,153,
948,918,588,520,786,825,966,612,606,460,967,528,173,864,427,842,027,705,117,
166,693,541,192,720,436,523,937,699,062,494,610,503,286,428,010,110,014,524,
466,753,869,717,026,498,741,612,868,303,494,376,393,162,281,894,530,488,541,
715,050,891,601,046,704,625,562,522,630,792,284,630,757,988,953,022,970,341,
360,551,200,754,109,968,187,104,703,592,953,240,366,920,008,698,553,226,035,
678,187,944,123,711,102,004,809,825,334,449,703,505,111,594,998,382,606,822,
633,035,254,511,118,999,416,223,897,255,055,597,116,788,592,219,704,806,033,
063,178,486,989,992,333,145,868,660,604,910,078,990,933,584,924,513,190,107,
440,852,574,015,476,252,573,452,510,024,374,330,847,509,659,851,331,535,366,
753,019,167,488,572,851,409,822,233,699,188,684,234,819,889,457,637,571,475,
581,435,601,058,340,307,315,739,964,513,340,322,954,327,341,485,750,677,829,
561,008,205,627,067,455,521,650,912,489,771,310,135,458,476,908,854,488,908,
799,856,503,710,494,613,675,287,816,802,214,903,533,916,960,986,691,417,366,
653,500,859,306,859,744,998,817,877,434,936,620,353,670,544,429,653,875,280,
296,729,347,744,227,003,715,114,144,734,256,063,162,715,252,122,860,422,793,
100,039,843,181,624,395,070,808,764,622,174,032,725,694,226,429,236,494,042,
632,312,109,580,288,677,487,282,045,461,144,719,349,013,501,053,013,187,744,
726,473,342,299,163,912,232,602,677,317,693,764,090,453,020,313,158,719,567,
652,035,685,573,596,830,415,510,197,845,635,238,075,401,144,302,927,028,588,
605,140,625,644,279,157,657,127,804,687,120,346,903,979,678,206,915,137,876,
309,456,999,530,695,357,567,698,246,684,471,342,025,802,975,571,671,279,453,
901,794,636,065,330,892,830,687,932,512,755,868,612,943,151,633,265,262,428,
464,728,312,411,005,578,927,518,030,270,022,583,895,048,231,581,594,997,867,
084,594,815,631,095,061,065,323,287,752,793,697,822,995,431,205,125,122,472,
122,817,944,349,158,993,779,571,111,648,607,901,088,955,286,111,725,936,916,
835,060,629,277,435,481,725,122,751,105,713,857,865,186,370,815,972,976,640,
223,411,145,965,410,411,845,760,505,317,335,111,269,983,455,708,076,709,326,
376,626,784,914,597,991,747,618,912,442,975,248,250,356,089,966,803,656,620,
506,054,486,160,654,066,328,209,002,823,782,395,565,171,668,295,035,529,561,
751,901,996,891,646,713,209,141,418,049,621,421,516,844,721,805,807,798,295,
468,652,693,112,860,041,855,543,462,148,592,887,113,563,936,050,700,638,880,
875,870,252,353,827,527,537,948,842,347,393,875,981,953,696,211,993,668,234,
858,570,739,265,245,130,023,832,375,995,539,766,292,894,582,072,569,183,937,
573,609,996,319,514,926,594,551,646,656,111,576,995,856,228,760,182,302,284,
203,710,973,261,484,622,582,965,915,271,579,202,367,727,894,970,142,324,919,
120,353,024,565,310,753,920,571,826,932,662,340,027,841,803,910,756,214,498,
673,128,481,311,548,720,104,294,498,173,863,409,517,929,443,568,501,156,297,
130,497,610,333,131,706,154,102,194,330,996,022,719,672,576,797,489,565,851,
092,333,722,137,999,224,613,539,595,406,107,734,862,999,235,322,646,199,893,
049,397,439,877,167,322,707,708,698,605,809,483,666,836,763,708,402,396,585,
542,837,639,119,333,552,445,591,214,267,244,384,161,744,942,778,937,965,474,
969,188,963,838,854,798,851,049,158,139,866,368,198,754,096,027,774,782,561,
236,831,733,149,400,916,528,909,802,572,383,366,801,017,718,156,266,375,032,
156,457,500,853,960,022,572,501,377,235,891,622,983,326,933,779,890,576,887,
735,408,923,197,882,541,852,576,840,202,516,434,697,670,298,528,555,774,442,
648,733,680,923,370,648,924,972,012,865,947,065,870,858,315,625,096,722,975,
306,036,531,490,681,923,916,678,314,480,356,035,805,625,970,991,378,429,881,
391,440,988,613,149,032,606,556,699,177,615,000,915,196,945,891,000,037,536,
209,847,025,696,464,761,131,497,985,039,171,484,722,051,654,137,303,648,830,
331,905,841,613,689,116,670,626,621,555,675,256,308,401,575,231,487,237,353,
784,128,152,853,773,118,020,625,818,823,920,744,318,204,388,925,245,668,430,
999,195,741,911,181,993,737,281,184,982,816,404,667,483,537,948,184,749,939,
591,531,717,211,831,144,796,375,658,025,295,107,389,898,503,609,401,281,963,
335,809,735,685,490,967,122,121,061,582,552,973,629,135,338,853,045,670,431,
354,298,191,193,739,486,070,252,981,912,346,882,835,752,964,589,793,246,634,
981,779,247,051,620,518,128,729,889,818,347,074,809,243,805,055,442,682,234,
566,267,854,407,002,253,399,644,693,184,642,406,308,221,812,146,138,729,761,
213,397,313,191,102,304,522,452,171,776,547,422,193,173,640,090,275,550,041,
062,685,405,338,027,178,824,858,798,720,522,198,580,214,506,254,231,755,994,
039,409,118,635,222,936,434,842,851,512,958,966,222,349,266,249,131,375,260,
551,095,427,191,833,007,883,565,165,904,464,158,098,805,038,688,611,277,165,
353,095,582,102,809,921,734,943,288,405,055,737,941,466,532,247,110,665,758,
260,039,489,103,847,468,872,372,060,525,656,481,826,449,604,039,194,325,279,
331,514,915,099,165,697,514,236,233,342,213,063,635,721,784,254,387,715,156,
848,225,385,867,720,366,071,986,909,799,559,196,843,575,196,723,441,473,181,
240,789,857,314,340,142,861,688,992,189,880,281,064,006,625,229,377,841,000,
565,985,911,643,799,170,420,430,482,890,179,275,541,259,327,333,704,333,504,
359,019,709,679,132,018,494,417,571,600,519,471,493,377,128,552,888,776,605,
817,979,037,523,484,041,580,550,089,725,498,476,594,948,105,224,073,941,276,
436,520,916,703,797,315,558,668,395,169,030,223,485,816,794,171,975,307,274,
704,633,619,669,987,626,128,942,432,628,771,526,579,108,922,779,069,749,511,
537,679,107,442,097,405,236,618,329,565,895,528,379,087,912,196,917,707,851,
862,358,222,698,414,067,997,864,364,994,196,356,181,577,553,941,482,496,004,
149,364,483,878,007,295,485,607,707,929,199,324,626,771,820,410,622,807,471,
919,658,957,044,134,349,696,359,486,361,533,818,117,918,599,870,161,657,108,
846,521,707,181,563,290,118,472,506,597,648,987,656,709,080,044,192,458,822,
682,895,625,676,780,260,062,893,527,696,208,889,344,799,627,025,654,822,339,
494,319,332,744,901,301,999,667,644,325,261,172,979,404,517,018,790,973,291,
930,339,847,587,013,134,050,788,241,073,715,779,279,133,764,904,516,981,333,
991,930,895,755,103,778,021,417,682,465,592,188,599,583,252,548,931,036,922,
363,017,957,474,881,229,149,327,679,653,813,313,390,265,278,400,422,683,491,
348,847,820,242,789,018,019,795,164,322,152,552,991,494,097,150,469,494,678,
939,912,999,407,456,002,540,397,615,423,159,192,724,870,955,991,660,032,806,
942,471,012,307,849,817,377,379,631,985,882,276,362,069,900,844,406,719,462,
011,290,984,146,160,399,116,814,269,661,027,297,059,133,657,179,027,549,982,
756,333,777,499,507,959,080,439,448,876,314,087,277,316,108,186,571,762,589,
268,581,560,803,640,552,008,810,008,992,903,962,499,292,573,582,392,914,102,
988,182,863,936,480,593,851,596,899,931,288,911,299,788,917,681,998,703,802,
429,924,170,330,432,556,784,094,393,558,594,536,973,035,942,266,961,829,074,
316,588,921,264,606,615,533,197,262,335,332,594,522,424,070,941,429,775,403,
959,513,668,968,417,362,036,302,147,516,502,535,913,158,577,632,760,150,210,
958,289,591,071,586,163,584,692,564,187,096,789,820,634,398,851,865,726,255,
159,299,813,840,255,465,298,998,257,079,620,467,650,491,259,074,434,748,806,
773,878,879,166,207,510,123,645,085,882,362,031,805,146,450,684,617,083,603,
703,567,262,926,143,435,953,467,677,509,864,502,535,903,811,339,050,823,656,
802,105,973,254,413,101,328,455,090,599,481,796,938,171,962,263,663,942,511,
738,311,163,609,815,930,848,678,270,231,984,831,834,613,962,891,900,890,043,
053,745,945,051,220,762,294,661,808,317,696,623,797,609,425,978,535,219,178,
823,396,970,757,134,119,863,280,126,733,848,370,620,146,284,284,389,847,055,
822,100,033,305,078,997,172,098,837,633,530,409,324,871,208,512,849,292,546,
680,346,948,188,376,563,644,426,240,848,138,291,155,981,597,506,258,243,027,
483,257,808,356,705,856,931,033,599,717,017,857,444,078,965,339,661,472,663,
766,473,090,296,347,400,731,045,480,194,097,941,565,010,094,319,296,919,103,
437,407,146,863,271,918,849,369,534,702,421,550,810,025,803,719,285,242,935,
851,603,070,686,598,718,395,533,194,599,584,481,823,272,818,084,465,102,186,
733,566,620,896,259,194,639,738,095,781,307,557,552,268,669,299,216,380,649,
980,856,013,454,611,300,600,511,420,164,331,162,596,687,038,193,627,776,859,
692,238,824,390,664,017,747,832,396,435,107,600,868,012,003,766,833,443,533,
680,968,234,916,146,344,995,448,144,258,005,959,066,827,396,538,386,693,021,
172,995,874,866,985,788,537,231,821,740,580,206,524,292,512,790,206,697,340,
637,745,434,842,602,928,045,685,257,319,499,393,439,569,068,045,219,928,552,
752,451,436,819,839,008,933,083,346,709,571,293,491,033,777,922,076,037,008,
483,739,906,382,645,377,833,672,836,268,586,910,608,180,351,001,738,322,833,
371,377,207,332,934,274,622,813,749,311,524,939,275,494,293,485,693,690,062,
730,915,449,473,082,369,404,059,198,626,976,243,908,832,668,370,173,226,948,
511,529,725,492,024,062,550,488,204,693,957,661,654,891,267,612,315,034,103,
124,227,025,450,863,664,601,009,481,451,173,554,379,657,840,235,985,382,736,
789,771,586,115,718,370,462,429,644,753,737,384,130,381,347,150,181,910,550,
915,381,016,835,603,682,167,331,225,490,170,730,448,120,354,513,431,681,595,
816,507,867,603,398,721,580,080,776,407,048,273,742,949,831,094,385,793,446,
643,670,861,682,098,893,759,011,469,008,969,359,083,245,629,462,705,194,305,
884,201,832,670,264,634,391,194,520,914,850,298,075,827,916,484,141,433,364,
355,176,155,722,560,158,593,682,354,883,557,461,559,626,955,381,931,172,420,
073,821,002,663,229,629,737,849,590,035,592,450,752,996,394,475,969,209,285,
694,022,152,048,966,512,433,086,240,704,580,285,337,082,027,050,389,046,585,
342,206,575,929,385,590,117,402,607,550,892,892,637,582,470,025,370,733,182,
303,767,312,312,519,835,845,545,690,666,947,785,837,183,631,835,884,231,372,
882,500,552,619,563,764,419,633,184,480,779,175,871,534,255,850,312,266,141,
911,385,329,920,730,478,045,411,668,813,542,546,019,455,205,526,789,109,304,
586,289,617,518,454,002,009,361,707,740,692,344,146,688,662,159,517,004,044,
790,936,890,535,601,874,465,661,028,664,762,335,325,067,808,518,869,167,529,
064,847,862,102,205,478,647,182,491,637,953,377,693,726,721,470,465,692,071,
632,222,787,874,582,637,156,969,761,185,243,581,424,453,869,530,987,959,767,
606,848,423,392,007,520,553,288,653,315,073,318,695,516,267,779,625,808,928,
370,338,764,305,877,525,284,628,877,600,676,927,051,353,087,180,375,381,524,
543,657,115,116,547,081,187,942,438,734,729,798,771,738,089,469,596,383,380,
327,102,975,030,274,053,732,733,506,908,498,030,345,347,756,202,761,335,179,
314,943,990,764,175,644,244,337,045,127,897,958,026,807,717,733,139,279,968,
375,079,826,411,139,390,260,992,720,594,054,622,015,497,312,754,081,079,062,
492,300,411,273,257,219,335,731,143,754,087,416,528,688,704,971,279,198,775,
918,973,356,811,928,443,140,621,242,971,832,986,041,432,662,668,694,611,183,
987,221,103,727,431,786,270,310,231,719,791,556,532,109,168,022,162,129,792,
987,033,328,399,689,542,243,932,442,959,680,881,000,543,412,152,465,996,863,
786,203,938,759,480,504,336,082,152,857,142,363,253,112,652,162,975,100,875,
935,277,205,436,095,473,870,148,655,378,188,003,408,468,081,236,637,194,593,
326,003,510,462,697,832,275,715,095,604,114,663,957,588,984,645,955,168,641,
961,972,752,622,021,564,885,323,160,891,140,939,052,555,791,648,080,882,744,
863,808,394,045,328,848,850,620,212,149,791,255,082,254,312,765,713,893,980,
151,541,906,290,434,273,260,284,872,058,706,339,974,654,037,797,788,983,789,
782,774,646,503,962,587,957,548,024,619,738,700,990,221,661,040,453,091,508,
229,029,537,868,277,801,304,730,443,160,852,490,909,259,886,991,734,434,023,
224,961,237,538,487,192,033,323,326,680,333,598,623,905,198,284,932,570,590,
047,485,809,032,615,755,831,642,180,594,778,896,691,934,123,504,728,094,946,
368,858,428,787,773,645,595,969,593,372,187,911,201,338,702,775,260,207,082,
496,174,205,287,445,317,650,107,855,849,528,986,106,710,120,478,306,649,908,
433,716,442,545,433,238,088,746,772,605,274,386,653,131,591,595,032,469,760,
251,044,464,827,519,928,660,156,176,872,057,726,471,811,114,254,918,883,378,
548,137,184,816,609,658,054,054,134,216,344,618,389,744,306,045,970,545,195,
202,570,390,225,049,651,654,160,719,320,684,497,376,186,462,831,188,584,890,
321,548,604,246,239,237,188,503,876,838,567,934,491,210,790,627,474,645,892,
713,273,162,742,831,045,661,548,876,103,627,353,260,524,323,830,852,655,580,
093,574,850,898,100,645,178,530,213,514,120,495,785,962,461,827,394,632,077,
948,321,865,782,143,303,088,391,199,400,068,513,300,600,306,177,229,207,768,
375,421,188,937,746,686,121,162,342,446,188,717,187,528,654,787,075,258,764,
417,583,981,849,223,781,288,693,724,211,519,443,492,811,995,902,453,837,271,
141,611,117,536,088,582,738,165,644,702,908,850,869,430,688,709,420,721,548,
933,611,041,931,671,667,783,411,490,454,066,196,489,738,668,763,414,091,012,
899,150,069,019,257,564,397,847,705,312,496,406,454,114,473,019,254,262,874,
648,173,884,405,325,969,436,921,609,186,651,481,597,417,092,504,924,448,296,
542,833,772,088,327,167,270,545,033,409,199,602,457,641,964,590,732,484,287,
062,723,495,522,915,411,500,107,605,996,693,773,571,719,127,327,113,878,123,
453,970,259,490,633,767,465,095,259,108,577,836,785,659,595,085,663,573,208,
090,273,851,752,365,661,166,633,638,426,414,130,378,734,685,016,107,597,070,
926,702,466,520,145,978,297,655,848,936,222,345,125,464,109,447,657,790,105,
879,990,950,483,854,261,216,239,981,094,811,449,239,999,384,901,090,512,585,
585,118,641,848,287,631,230,710,304,779,512,715,277,680,835,711,921,323,381,
723,857,951,299,545,959,877,174,721,443,210,204,723,064,275,636,101,721,057,
956,211,489,506,227,040,122,544,756,722,610,631,729,260,601,121,480,630,341,
053,675,915,996,607,778,301,917,132,291,533,543,689,484,194,192,314,400,930,
042,112,652,908,662,880,356,401,425,108,187,293,662,474,104,878,149,796,743,
819,038,238,466,291,458,552,487,416,125,186,054,334,362,636,648,792,826,408,
982,023,129,469,097,996,665,405,939,352,404,940,281,026,228,596,931,384,707,
909,744,056,546,970,406,523,187,399,617,014,120,198,962,455,205,140,073,953,
520,367,257,414,305,336,447,688,571,575,703,814,088,155,748,725,213,318,504,
512,039,818,348,206,061,517,315,811,026,938,679,994,606,663,266,105,640,620,
596,796,603,961,272,614,554,089,435,130,319,737,179,737,641,680,976,837,748,
223,337,021,861,568,576,222,105,627,290,309,015,273,840,132,797,833,960,467,
099,451,924,098,372,950,066,390,955,811,923,907,329,534,457,361,437,864,040,
278,147,093,413,575,491,582,103,152,896,202,991,623,260,938,734,500,307,443,
272,839,557,344,616,796,126,209,704,828,832,273,611,700,567,661,688,442,485,
153,715,298,688,044,838,596,730,471,576,774,720,763,283,690,829,821,459,139,
750,327,541,797,169,710,710,898,221,232,516,494,346,872,953,453,487,304,279,
407,033,490,572,895,432,461,615,033,200,825,908,412,266,647,550,571,769,578,
257,609,937,820,842,294,749,517,218,335,431,139,156,773,825,496,847,045,044,
154,400,993,852,888,498,173,970,627,773,572,750,601,495,804,937,586,750,128,
934,740,575,401,773,580,040,275,982,657,686,505,629,325,333,744,978,433,980,
709,222,494,083,026,346,506,082,440,662,746,190,717,906,057,742,264,759,630,
329,827,582,870,992,418,354,728,415,879,036,823,338,172,359,061,446,141,403,
153,215,124,788,386,557,978,997,074,543,122,993,055,221,072,325,192,507,213,
375,187,935,855,624,501,190,194,133,159,475,377,165,309,460,780,143,844,097,
935,320,821,003,279,151,837,773,317,336,016,301,970,746,987,680,054,108,021,
088,698,622,953,942,540,679,913,668,026,968,670,813,041,389,046,409,238,815,
618,549,205,978,756,307,113,219,297,574,806,719,336,796,089,336,496,454,807,
487,348,662,069,000,828,775,716,691,878,241,805,931,046,170,176,034,525,593,
921,952,979,327,794,722,087,058,571,536,826,459,532,499,499,362,113,283,371,
556,950,233,368,374,099,120,216,036,613,709,557,158,193,497,958,510,057,842,
913,676,569,339,573,603,938,081,585,960,003,578,470,143,861,351,704,615,161,
724,021,142,329,997,301,446,199,056,067,659,066,938,338,577,824,278,287,502,
423,975,619,022,611,712,670,444,163,195,576,909,033,151,589,438,594,115,180,
362,757,321,172,920,561,298,208,207,197,375,260,345,340,183,861,297,225,402,
129,292,667,881,085,502,777,050,493,350,088,877,647,055,166,497,906,171,665,
405,744,408,966,668,083,401,259,014,817,861,123,038,520,855,794,807,626,000,
590,155,106,589,002,307,069,882,154,819,542,597,721,959,300,695,651,271,235,
413,455,940,060,881,792,221,507,842,724,501,163,719,705,158,975,398,162,581,
953,760,499,521,614,916,635,364,223,813,550,271,136,291,246,812,206,047,397,
246,357,062,389,193,289,363,459,206,346,060,459,761,298,317,610,127,560,167,
701,593,851,373,959,795,530,152,080,509,022,700,282,197,717,868,232,638,362,
495,593,994,574,228,894,794,647,566,472,418,511,763,231,283,773,603,598,347,
962,617,564,771,183,576,529,408,516,482,383,320,884,150,665,665,131,024,741,
967,068,460,149,454,263,686,911,917,165,667,550,850,861,258,876,100,931,505,
181,090,934,950,544,342,900,056,303,536,199,798,136,277,512,226,763,179,486,
003,911,170,240,491,463,390,814,056,534,656,478,863,466,808,126,825,426,634,
942,881,045,091,154,659,990,037,316,086,039,767,529,298,348,665,877,356,763,
560,306,382,778,900,963,503,222,661,826,161,122,430,142,202,017,644,762,013,
213,949,462,948,674,462,821,026,310,963,418,481,705,448,351,280,813,399,751,
979,525,641,293,880,268,192,824,703,966,670,978,916,594,053,511,113,505,953,
592,978,895,514,760,883,924,441,513,834,488,527,479,184,876,441,208,255,928,
794,317,533,152,193,338,798,803,253,312,868,205,971,385,065,376,504,236,537,
463,944,942,052,042,829,827,600,144,511,989,059,443,478,202,959,001,934,224,
617,127,696,162,550,971,014,992,351,800,014,630,623,744,186,330,062,908,956,
967,455,656,469,612,236,222,767,031,938,566,322,769,436,392,972,935,040,840,
537,380,598,300,787,278,724,889,246,750,421,811,088,934,182,166,545,497,432,
254,187,123,812,891,088,919,897,755,595,605,089,610,169,913,241,782,464,350,
089,558,757,729,735,883,103,065,752,432,294,171,054,748,490,121,747,784,290,
439,311,023,520,616,260,212,607,192,306,527,507,639,419,239,535,516,117,625,
148,004,838,668,134,063,612,581,485,511,011,669,727,916,273,434,988,949,994,
083,666,299,626,153,804,685,275,455,532,597,460,872,215,461,195,878,703,433,
353,240,625,485,189,881,472,967,263,532,103,940,693,987,690,655,894,456,418,
597,922,737,084,673,681,742,472,500,498,714,547,426,798,852,646,250,692,433,
115,286,852,689,251,885,468,283,114,886,038,966,670,253,379,306,836,950,775,
158,181,494,580,515,357,731,902,829,200,090,677,816,449,097,218,380,968,525,
629,144,718,133,567,102,402,742,857,205,686,158,691,891,094,204,072,087,366,
439,849,979,509,383,250,948,887,481,034,295,431,294,551,308,971,703,353,905,
554,055,107,330,928,171,731,487,094,587,396,029,686,122,144,770,148,758,108,
219,338,113,145,392,019,087,809,126,733,687,424,509,185,112,886,182,430,437,
294,352,621,356,035,857,515,335,171,482,533,691,041,728,626,028,149,086,492,
938,567,819,956,297,277,464,030,508,422,880,435,316,301,666,622,141,202,710,
666,627,443,302,777,761,446,551,307,910,957,778,036,588,051,181,990,084,087,
750,923,279,320,709,373,324,515,501,404,780,441,212,972,172,664,108,089,251,
297,212,776,361,063,305,592,463,738,975,169,458,324,921,952,381,044,897,672,
019,261,607,984,708,941,755,530,170,174,772,673,587,501,670,125,546,357,939,
729,746,169,305,744,388,327,581,588,081,043,282,567,896,583,994,316,252,155,
072,855,614,412,874,390,915,928,987,418,828,275,625,885,286,439,614,622,441,
943,109,735,388,444,896,731,083,704,651,917,536,165,346,400,270,071,599,049,
344,709,649,542,385,835,777,207,858,167,466,251,961,269,670,502,302,378,556,
544,650,954,229,316,831,034,435,986,564,172,713,994,517,535,364,583,368,964,
077,256,199,203,428,759,543,063,323,076,020,390,516,140,325,147,143,630,946,
509,210,778,912,554,780,599,790,982,101,793,476,150,015,096,296,930,998,668,
472,747,379,504,776,835,324,833,868,862,293,464,051,246,789,085,086,771,267,
410,326,767,034,625,929,781,491,202,969,136,040,228,417,387,920,370,063,517,
975,627,695,044,657,067,461,721,630,384,934,321,647,145,122,825,512,293,541,
302,798,867,463,934,047,269,380,876,991,526,621,274,783,348,606,901,736,157,
914,299,281,136,655,707,258,671,672,212,838,590,714,798,605,511,626,367,621,
778,269,085,193,125,816,160,432,244,273,132,464,157,300,666,374,046,261,367,
860,083,195,143,286,940,846,344,812,882,784,923,109,147,891,105,139,097,421,
925,812,485,689,810,163,956,064,899,012,523,714,052,181,505,207,218,980,894,
404,458,937,562,975,699,605,879,460,972,614,360,056,974,219,236,822,270,606,
265,591,558,765,729,098,786,312,249,903,002,839,806,437,005,319,815,408,999,
561,751,901,095,293,282,200,083,806,465,416,582,649,944,689,789,994,176,357,
020,019,547,887,022,760,054,374,051,514,727,775,014,648,296,114,040,843,667,
061,506,813,452,313,674,639,173,589,448,616,091,136,033,826,684,234,495,042,
800,171,052,862,722,621,877,955,296,475,054,159,397,277,726,869,385,712,502,
855,976,613,539,388,659,573,630,413,690,264,435,380,629,401,044,309,366,042,
066,313,193,870,149,433,900,499,417,444,429,240,464,182,477,441,879,104,642,
565,687,901,618,844,163,255,230,480,701,903,619,062,891,385,836,418,737,357,
661,574,493,527,296,347,041,626,443,766,474,879,583,268,619,480,729,254,415,
341,600,432,393,836,449,068,736,654,977,391,380,347,682,955,376,551,616,884,
849,489,641,590,791,380,407,015,907,910,187,642,848,428,206,672,193,125,782,
685,406,528,047,868,703,108,496,124,016,648,851,523,552,995,924,995,773,820,
598,913,226,431,502,038,407,441,621,418,188,339,237,443,326,268,753,418,282,
370,226,196,786,223,672,464,642,718,090,678,778,815,925,544,993,502,770,323,
824,265,956,028,184,851,894,788,996,797,536,119,489,416,529,538,033,804,029,
728,691,054,395,565,990,295,261,468,623,479,249,779,556,206,617,552,138,449,
635,407,169,210,534,463,714,618,303,606,629,253,770,196,657,544,157,061,311,
857,559,252,977,755,041,579,996,995,221,482,112,493,794,836,123,608,403,912,
044,740,688,440,562,866,217,239,515,322,805,335,191,085,654,936,126,236,070,
564,017,433,125,923,892,299,119,473,110,238,176,910,389,264,478,812,601,308,
627,884,440,321,532,360,584,375,386,327,231,369,213,608,844,222,705,703,347,
711,248,018,596,787,105,330,745,901,232,760,692,876,178,912,119,367,314,440,
922,830,567,475,751,717,302,606,530,183,208,155,559,702,578,118,927,606,864,
875,464,043,986,911,155,069,997,119,730,999,853,962,640,088,614,182,748,015,
976,420,825,946,782,621,848,556,613,645,026,058,243,618,887,118,586,613,541,
033,997,885,940,264,989,152,678,616,056,877,977,369,389,039,589,400,608,957,
295,436,918,745,290,107,954,232,635,386,887,622,100,175,750,922,493,463,363,
917,367,717,245,784,013,882,393,768,622,163,971,341,519,479,905,419,255,256,
589,351,297,286,385,874,553,602,506,450,186,463,896,904,986,550,322,045,359,
952,492,479,409,022,735,608,867,060,107,975,269,177,705,707,498,729,935,463,
681,374,793,795,880,317,272,022,372,541,053,998,521,420,965,822,359,276,086,
891,430,364,407,973,612,453,106,202,464,636,420,263,493,534,069,663,132,489,
789,746,607,449,640,040,603,684,801,728,701,876,926,685,901,456,419,508,936,
756,147,746,873,868,008,435,978,612,865,649,329,156,914,731,617,025,075,807,
386,575,376,160,369,859,560,163,571,948,152,554,851,145,257,227,758,903,688,
199,032,205,539,289,598,602,654,404,023,874,394,488,528,836,790,017,047,633,
583,036,972,423,536,447,977,230,277,683,935,125,230,786,469,617,693,509,068,
049,149,327,857,054,629,127,929,421,746,650,940,558,229,793,791,009,453,630,
428,265,379,144,894,714,023,723,376,660,504,403,121,168,325,160,206,009,889,
682,799,499,561,257,613,377,997,171,406,617,645,106,774,912,435,793,369,219,
407,821,890,828,479,523,247,614,140,480,178,367,400,761,248,617,983,465,334,
704,959,889,104,638,011,225,053,405,495,302,103,637,133,736,262,682,430,595,
296,431,415,177,417,894,742,780,492,179,902,985,079,096,426,315,457,620,016,
300,381,475,508,938,325,000,352,374,216,042,233,604,148,656,021,199,304,115,
023,271,609,919,286,764,719,111,632,950,133,058,038,020,043,137,362,288,178,
584,349,634,061,071,822,762,086,972,507,483,125,927,662,043,260,526,348,101,
236,368,458,591,892,641,181,442,985,942,996,505,130,302,592,742,369,999,253,
230,661,928,250,600,634,482,514,135,377,477,955,066,599,123,496,695,941,558,
029,088,819,364,862,524,483,897,154,839,609,710,093,875,880,658,592,764,015,
289,001,367,127,008,231,563,686,420,966,345,599,686,602,284,832,039,694,644,
007,956,192,177,580,023,363,886,236,696,934,211,219,735,266,264,783,087,347,
189,056,175,898,279,448,102,698,992,875,037,802,640,167,860,428,915,112,226,
977,792,916,508,571,305,606,452,197,571,635,959,950,409,082,440,457,345,568,
484,449,678,495,023,080,990,292,938,178,852,018,400,897,684,786,168,822,224,
518,673,204,574,572,960,454,413,981,673,179,929,301,779,531,323,155,224,005,
126,482,785,880,135,641,054,687,078,423,875,724,809,173,217,646,094,818,719,
091,826,731,444,349,703,654,437,005,295,296,100,332,158,222,119,284,504,308,
109,151,485,078,566,634,139,956,152,822,778,412,758,714,550,805,211,887,830,
222,944,031,601,015,136,939,649,838,275,972,239,001,230,610,267,911,455,388,
626,054,335,721,202,133,248,651,151,517,296,590,701,843,180,307,205,636,382,
960,686,378,670,432,321,750,032,001,084,851,889,265,229,089,615,604,306,705,
933,690,767,717,449,492,411,665,775,142,250,273,442,076,001,524,228,746,588,
305,826,223,173,421,237,080,753,225,905,739,941,600,844,935,887,807,114,243,
439,819,111,850,551,403,477,255,717,182,440,399,856,162,982,659,094,878,228,
278,833,591,085,124,028,704,095,537,029,576,858,329,061,790,759,155,706,846,
461,100,663,959,030,045,661,535,444,353,216,467,346,831,160,449,628,948,276,
239,846,162,372,784,397,488,735,394,839,961,118,204,977,793,868,496,948,851,
822,491,338,185,731,121,982,184,512,712,752,282,361,793,273,036,421,358,792,
647,529,577,044,410,082,849,221,396,506,668,438,956,662,847,335,348,094,063,
156,847,555,496,573,372,529,709,657,580,669,682,888,693,155,588,076,330,436,
420,515,267,913,373,499,034,839,518,124,873,778,336,754,021,317,915,752,538,
820,949,196,308,910,252,569,959,338,971,317,252,526,004,459,856,320,193,602,
063,008,629,424,912,328,887,926,095,215,053,303,711,099,527,791,453,123,911,
199,822,884,448,562,617,455,907,468,277,042,384,465,870,053,253,160,418,274,
578,185,869,836,900,376,607,386,242,275,466,942,685,001,811,893,225,803,274,
016,285,076,111,768,000,030,004,627,310,043,106,637,657,376,735,401,021,206,
862,756,354,089,338,919,126,724,688,559,804,379,362,504,607,620,567,188,656,
849,740,738,519,232,256,881,727,934,734,926,922,837,835,243,852,947,370,156,
717,435,478,458,160,338,253,754,111,407,898,683,257,237,413,017,790,332,950,
028,721,751,079,999,311,372,648,607,181,908,847,136,126,959,193,172,079,645,
234,896,461,266,288,689,155,852,679,900,163,007,078,102,069,448,115,412,257,
590,100,915,412,951,689,322,675,335,862,115,462,893,729,109,493,859,154,640,
358,182,451,014,867,449,891,668,671,990,053,299,867,539,481,754,564,240,158,
487,518,398,082,500,179,170,548,893,892,889,331,809,290,843,816,357,384,889,
039,618,431,591,647,212,443,202,761,730,321,430,741,462,790,837,247,879,164,
968,442,173,857,544,730,897,857,316,533,449,897,247,862,931,803,322,300,724,
875,292,892,526,431,322,182,902,648,944,842,703,167,540,937,172,579,641,358,
386,182,983,299,895,210,791,455,880,945,802,825,215,674,196,350,014,677,496,
581,245,235,789,012,258,328,923,715,649,058,861,139,208,752,605,778,766,176,
922,171,990,887,360,776,845,095,061,701,483,560,708,261,351,755,611,770,673,
417,864,146,725,293,651,090,901,486,931,781,308,965,359,571,656,789,154,313,
707,846,076,731,319,885,723,948,222,885,133,009,059,244,785,972,434,591,228,
419,935,012,304,950,595,825,710,498,896,158,362,252,849,693,178,386,704,175,
693,024,994,637,080,587,058,010,903,228,177,849,068,396,659,854,804,327,441,
536,031,263,564,384,655,101,686,647,416,566,309,748,568,988,294,150,522,491,
493,320,502,206,731,621,607,408,215,468,920,164,715,277,633,531,320,660,746,
626,841,807,274,791,173,527,762,227,447,497,179,505,707,880,592,267,346,259,
624,205,364,223,393,315,808,477,133,189,827,884,216,703,967,406,480,269,648,
514,730,931,764,743,050,539,290,581,953,245,346,814,772,629,710,181,198,340,
051,504,047,214,529,000,490,183,712,721,621,300,310,512,218,086,493,412,238,
842,411,755,414,027,981,428,538,087,460,153,345,466,468,283,734,777,920,703,
601,120,566,170,747,443,181,857,984,657,463,299,338,695,581,854,747,441,297,
697,957,654,035,896,927,641,523,848,090,284,287,527,889,902,496,543,370,606,
134,883,330,099,157,663,173,617,761,171,013,564,155,530,218,579,324,043,796,
498,222,397,825,098,828,137,835,104,650,826,602,268,289,005,860,146,340,632,
383,135,062,720,705,917,710,522,901,144,905,554,192,326,842,149,788,324,120,
812,758,085,271,601,541,233,065,649,166,058,468,549,078,033,483,624,878,092,
921,686,452,340,791,880,885,153,922,772,029,006,596,881,920,833,412,601,636,
443,494,229,078,220,519,172,914,848,823,741,959,844,866,376,960,442,484,762,
061,047,000,428,645,095,246,788,384,486,006,374,362,650,438,470,747,303,785,
044,819,171,076,915,608,723,430,453,771,028,333,164,001,030,710,145,211,750,
788,291,643,231,157,111,567,034,324,715,791,454,568,260,452,487,452,782,716,
514,915,762,267,613,308,727,504,631,371,749,694,633,308,371,401,321,386,402,
740,170,293,040,362,910,269,781,861,616,800,710,825,347,763,541,959,747,630,
249,215,990,859,275,923,964,495,577,357,607,759,921,322,602,320,807,536,356,
112,350,521,301,115,005,740,931,697,141,226,253,060,842,676,889,953,612,566,
613,590,693,603,874,160,354,797,469,117,507,210,336,239,960,554,755,165,448,
836,056,944,898,370,328,378,700,696,694,259,037,027,394,861,341,848,904,272,
907,435,001,852,676,013,257,103,923,292,303,761,318,934,969,012,300,231,199,
080,219,958,766,309,794,773,543,749,951,522,618,023,722,871,938,944,679,665,
297,393,400,696,047,607,852,428,004,905,614,380,712,888,501,674,156,431,852,
442,011,554,075,460,694,393,163,401,902,855,446,938,100,468,492,140,824,512,
101,060,063,604,940,383,586,951,306,838,178,916,263,233,190,174,516,254,076,
718,763,086,822,324,962,201,285,080,862,511,569,073,475,199,480,109,791,885,
652,738,448,157,503,353,690,442,694,439,343,168,373,553,426,214,234,304,599,
660,419,297,125,907,878,031,065,332,245,164,947,642,643,863,710,224,715,809,
351,520,290,055,809,783,985,178,345,415,557,733,829,888,137,067,044,784,105,
960,387,123,187,393,858,583,335,292,119,308,327,291,804,287,075,688,802,259,
144,589,214,349,604,256,203,641,706,392,820,389,434,618,357,192,753,752,959,
682,593,173,185,888,202,206,659,764,474,626,729,827,921,836,788,008,795,536,
499,276,906,587,149,958,247,138,923,901,676,927,949,839,184,136,516,511,389,
153,546,527,069,969,738,104,613,445,085,895,010,521,163,232,271,994,246,549,
645,383,648,043,907,497,519,364,682,892,402,511,043,221,065,122,948,012,369,
116,232,475,019,498,612,079,653,195,501,731,798,003,908,416,749,240,353,854,
334,509,713,643,061,829,753,530,808,538,135,401,276,151,918,095,852,181,822,
603,563,711,297,214,659,899,086,574,107,265,424,299,244,281,804,245,697,080,
891,310,114,491,129,020,548,890,644,058,996,948,041,928,444,125,766,202,509,
391,970,950,416,181,904,495,115,619,886,205,882,203,412,672,326,647,822,544,
108,312,697,678,649,371,613,203,336,966,311,795,636,336,500,651,714,345,001,
255,621,520,472,257,604,643,753,024,202,289,392,787,555,759,793,155,630,715,
460,298,088,412,704,549,007,089,357,925,970,203,709,130,174,204,844,030,149,
111,692,828,822,228,435,080,289,207,648,506,954,279,136,251,866,259,625,011,
168,581,627,454,090,980,790,108,286,857,293,744,493,757,036,149,522,740,616,
102,650,140,674,521,395,098,268,322,566,382,747,166,998,035,406,603,177,326,
234,411,646,963,154,327,451,804,371,823,182,087,845,488,381,824,921,852,285,
021,507,601,332,039,361,519,000,660,712,970,552,515,822,457,778,128,967,664,
910,361,112,769,334,869,716,647,987,570,684,101,945,743,345,581,894,658,840,
598,040,805,965,017,819,193,007,091,357,448,993,917,153,267,700,710,739,454,
560,075,859,867,847,635,395,273,628,046,629,894,308,459,339,272,629,829,335,
742,806,038,550,321,147,836,291,762,511,965,081,295,076,020,061,706,239,603,
600,843,900,750,576,969,380,197,855,660,996,439,880,987,735,484,546,937,391,
115,970,306,351,434,981,596,349,664,799,025,093,858,924,957,598,176,816,698,
574,864,131,552,391,021,223,341,079,591,612,506,768,562,213,914,655,209,021,
350,767,236,168,878,251,313,921,629,225,568,037,265,284,379,216,903,405,292,
169,919,832,549,999,111,404,915,888,033,182,060,539,155,216,177,615,493,564,
046,381,737,240,065,371,633,106,647,898,484,482,256,169,462,450,264,403,062,
259,036,129,218,103,284,974,834,324,283,536,764,316,500,690,217,495,360,260,
815,575,182,272,364,776,283,525,547,988,514,739,991,147,687,513,059,096,742,
416,409,316,376,374,003,458,032,366,676,648,067,701,609,745,891,573,951,684,
704,655,108,319,360,037,153,799,540,447,661,689,049,957,116,405,371,109,778,
353,610,703,102,882,885,132,468,542,883,300,883,730,601,311,107,697,190,459,
254,932,215,978,211,078,284,002,160,784,979,025,360,062,090,705,254,621,387,
823,122,207,013,864,979,474,868,641,965,608,221,591,936,427,059,509,235,181,
631,154,410,821,613,789,442,771,141,526,999,701,497,001,347,638,773,732,536,
190,888,810,025,378,055,195,894,825,408,590,197,191,613,406,138,685,125,429,
361,091,175,178,425,413,316,710,951,901,561,026,046,397,494,575,374,449,528,
512,429,153,029,997,052,295,521,449,888,060,693,027,659,989,161,974,734,970,
434,007,619,199,472,928,854,849,128,793,413,568,161,726,156,871,754,093,369,
765,613,944,199,151,570,227,028,581,460,159,754,182,264,420,995,218,718,095,
075,374,342,219,651,710,404,516,524,782,523,956,525,467,745,712,703,554,264,
054,154,807,379,681,867,010,490,267,340,527,543,595,797,264,039,510,516,844,
065,229,849,975,886,531,673,481,652,535,414,532,569,657,019,240,641,734,578,
996,497,714,845,941,522,740,373,965,550,492,688,522,929,742,543,650,067,022,
008,228,455,039,263,757,893,919,700,749,168,311,671,720,437,756,133,150,974,
545,846,813,459,998,970,801,343,753,010,602,528,073,023,264,405,107,014,582,
418,900,733,251,021,680,235,982,389,809,127,558,361,170,044,094,307,298,586,
758,207,757,370,833,288,685,467,600,283,269,285,963,286,502,397,318,239,411,
851,700,923,486,974,486,561,765,763,030,923,501,459,112,535,857,154,203,372,
648,143,556,657,099,308,235,469,502,152,687,762,485,187,075,393,471,112,817,
569,616,138,510,832,125,323,060,090,953,527,336,004,183,026,170,044,906,513,
807,931,970,295,860,035,797,311,324,771,114,543,811,187,692,504,320,090,285,
607,755,951,793,487,512,543,247,165,627,567,928,740,964,311,456,990,892,453,
523,127,497,500,564,092,022,291,938,616,529,488,932,675,092,497,290,636,296,
389,115,510,151,399,892,332,157,563,399,833,061,176,337,780,316,718,985,149,
545,574,009,406,260,204,469,759,516,228,127,506,327,450,643,983,024,909,745,
483,672,721,408,865,439,003,494,384,195,623,863,297,539,466,405,508,855,752,
617,928,503,333,038,565,403,139,846,127,351,580,121,647,505,464,213,697,863,
776,549,238,488,246,587,757,429,519,861,818,875,672,021,227,241,024,919,523,
280,717,003,154,651,729,844,081,801,799,791,081,666,741,012,984,968,035,304,
056,338,778,807,952,553,246,114,874,880,695,248,004,536,055,958,998,115,656,
155,947,983,325,211,111,291,272,936,532,213,922,409,591,343,174,540,243,575,
220,361,722,153,674,463,813,893,442,619,822,779,862,242,669,203,987,424,854,
741,778,342,383,117,627,888,671,186,175,383,292,989,941,469,878,449,151,499,
274,956,367,771,352,001,522,483,617,246,822,537,639,662,490,032,691,579,793,
956,834,600,942,089,231,672,323,492,917,794,080,299,694,198,942,994,548,115,
789,990,082,346,115,031,711,689,910,254,625,446,427,917,625,033,335,129,274,
273,643,216,926,700,676,567,550,918,469,656,057,364,476,798,435,855,328,292,
517,841,520,978,418,190,362,525,367,447,790,457,049,132,199,420,094,451,820,
157,698,967,324,597,550,051,325,371,212,610,590,788,018,727,957,700,083,413,
253,832,735,206,864,736,844,708,477,662,581,611,087,162,727,179,266,893,891,
167,858,299,089,462,178,746,642,403,715,020,091,076,799,866,403,737,357,644,
505,252,845,549,792,150,521,419,782,868,142,049,942,846,283,233,782,194,154,
475,257,980,587,693,625,700,624,856,554,844,966,338,690,722,784,364,635,659,
806,946,212,550,107,283,623,856,829,717,387,168,146,976,599,144,159,340,663,
317,380,939,340,127,778,422,193,361,176,593,515,809,613,669,650,543,833,558,
557,685,654,645,587,318,112,205,143,272,406,349,709,842,500,382,500,276,713,
566,976,557,342,266,891,031,672,296,625,401,480,468,381,608,565,192,751,913,
322,859,276,322,656,535,949,637,421,566,079,825,731,119,123,893,686,496,355,
365,193,437,731,480,203,053,242,485,259,980,858,793,682,740,859,320,145,299,
208,131,036,440,647,808,367,044,285,527,018,700,063,162,563,934,713,438,197,
928,885,821,594,583,223,768,082,018,021,495,306,097,523,784,501,371,902,622,
931,826,932,513,294,462,114,203,558,009,747,692,108,425,619,048,226,520,423,
300,624,674,583,357,339,238,337,969,419,886,655,129,360,904,198,492,177,584,
436,665,402,469,691,215,855,423,340,710,829,721,550,335,895,366,433,506,475,
720,449,936,517,238,711,930,660,385,884,675,634,170,816,068,808,689,313,746,
960,200,367,086,808,398,057,653,949,719,117,510,540,094,638,976,990,144,824,
443,929,563,558,032,013,150,452,090,435,181,891,007,524,395,246,504,980,221,
163,443,721,095,816,112,447,283,840,371,675,900,160,286,395,721,889,868,932,
192,814,866,349,484,580,730,278,650,287,482,393,869,460,427,700,181,102,579,
870,810,490,233,514,454,727,657,006,864,368,373,766,111,866,357,121,010,162,
288,584,281,134,510,257,841,837,244,788,913,763,953,755,561,918,210,145,130,
285,301,594,473,590,213,535,781,832,081,393,427,190,282,021,112,296,151,057,
202,751,347,364,249,760,799,286,809,243,791,318,887,789,833,743,909,394,740,
564,314,887,789,518,173,037,339,109,064,094,922,538,690,561,500,120,632,788,
036,233,620,767,779,211,923,360,188,328,394,704,244,204,620,303,966,575,143,
252,083,076,150,123,985,685,864,514,838,633,250,474,918,569,736,774,641,324,
326,305,950,359,468,971,261,272,947,905,632,942,112,280,771,617,414,045,436,
179,107,232,311,008,137,963,902,033,014,353,537,109,029,621,215,828,335,366,
811,436,911,782,793,863,805,562,257,134,597,250,689,693,607,308,763,549,545,
559,721,282,661,873,967,229,095,871,552,981,929,469,274,797,809,967,422,132,
954,707,906,014,637,538,289,970,419,135,651,654,335,669,580,140,575,241,102,
047,682,727,657,618,000,774,205,162,914,488,646,733,681,721,922,450,941,224,
155,137,732,819,031,307,238,270,108,284,067,810,823,936,516,918,936,847,213,
087,484,753,259,527,955,024,873,204,239,973,547,706,423,971,155,098,446,504,
958,090,345,724,138,612,146,780,284,319,927,919,996,844,944,296,698,476,112,
526,989,354,173,633,479,195,691,688,443,216,923,299,075,485,375,331,788,398,
168,024,099,664,514,300,928,221,003,874,926,027,442,654,545,914,032,190,352,
805,815,167,724,492,957,873,456,224,494,234,275,174,465,743,700,442,142,235,
686,510,904,076,323,483,861,052,786,727,496,835,931,073,652,641,607,175,351,
670,795,547,576,144,672,766,412,065,456,207,838,457,162,744,746,630,391,138,
787,962,780,563,459,571,527,274,489,180,203,311,149,206,826,840,909,436,725,
585,896,350,608,984,760,506,423,798,965,869,342,855,806,153,957,527,890,456,
295,084,678,519,774,785,219,711,738,924,404,800,664,341,039,126,241,246,314,
091,508,736,840,541,549,776,963,053,091,951,115,882,013,701,761,888,836,756,
110,679,067,318,595,965,351,059,327,882,628,915,723,412,092,274,423,779,756,
614,526,882,365,583,397,186,114,828,047,468,095,214,267,710,603,117,171,364,
276,501,390,736,743,335,593,949,796,703,597,362,206,659,342,719,104,684,818,
101,171,897,805,201,854,925,696,891,556,200,506,671,705,886,347,157,651,069,
100,544,115,611,641,588,034,713,986,948,172,442,012,873,481,934,277,245,894,
331,038,744,946,335,438,904,501,942,761,380,172,315,615,579,391,978,638,070,
932,757,712,285,458,242,354,920,043,136,146,352,197,379,790,128,131,265,552,
396,488,327,473,230,834,489,285,650,037,378,758,899,088,756,288,006,526,668,
936,015,214,062,795,803,978,468,610,376,492,428,217,619,393,833,469,875,544,
508,710,027,988,346,773,905,814,311,884,193,680,632,306,415,911,287,266,817,
198,295,609,232,991,256,163,896,115,884,086,772,230,941,577,513,213,559,115,
823,468,576,203,672,484,207,650,690,090,224,613,198,538,368,801,482,452,519,
610,377,129,190,795,195,840,877,294,232,270,815,534,306,122,218,021,546,290,
141,560,833,902,486,505,185,633,943,889,577,082,586,654,492,179,252,952,799,
526,340,632,116,882,452,584,089,940,144,661,861,190,110,247,065,368,412,014,
844,685,825,345,972,373,818,085,405,917,140,688,518,829,583,394,024,452,674,
637,580,654,975,657,020,069,424,847,695,605,699,544,441,150,544,793,924,507,
100,173,028,512,537,401,590,011,440,136,015,078,353,599,645,568,305,233,489,
514,243,350,337,189,425,760,402,886,258,415,952,365,958,844,198,379,748,474,
320,706,005,814,069,059,324,909,426,277,573,808,815,040,188,786,829,193,645,
700,584,314,178,752,176,954,529,225,203,671,169,953,528,455,987,489,073,933,
525,118,295,405,411,912,233,004,944,124,237,573,138,831,035,124,539,682,332,
785,499,102,286,133,854,392,099,168,492,203,110,982,854,724,161,510,315,022,
948,273,912,434,160,031,718,107,966,863,989,326,557,673,667,896,664,500,666,
244,461,699,803,748,466,552,742,148,367,349,402,187,776,217,198,494,026,986,
648,984,956,467,961,092,527,434,247,322,752,561,037,816,565,999,962,374,590,
880,612,308,729,298,042,521,687,363,166,378,257,320,909,524,541,811,925,772,
420,925,143,821,962,587,082,513,097,797,450,039,149,925,403,061,094,691,698,
337,472,017,383,770,136,631,295,194,517,285,193,145,294,975,097,024,536,441,
032,026,089,292,645,217,098,336,464,395,259,872,362,575,795,255,844,458,090,
560,786,384,923,294,981,182,937,275,751,688,926,691,926,575,603,877,343,604,
086,814,553,694,979,306,242,795,599,530,599,957,811,109,196,183,574,529,302,
590,517,292,818,024,671,674,360,286,397,995,781,837,702,104,102,223,829,832,
506,439,586,491,269,012,661,468,210,518,614,994,496,347,598,408,903,908,662,
170,373,212,033,170,459,651,244,177,258,713,578,035,965,938,829,959,184,437,
752,171,066,125,803,146,136,352,839,670,558,987,762,008,306,884,387,699,557,
649,402,755,960,173,241,879,386,921,787,148,696,775,560,472,832,173,392,841,
153,995,478,709,644,199,858,596,900,723,059,294,109,430,383,631,673,660,324,
917,476,058,750,577,275,582,892,254,524,979,470,786,011,684,271,956,131,877,
327,556,332,001,012,171,766,275,896,018,295,796,147,683,586,305,086,742,288,
604,494,819,385,255,636,055,411,783,789,715,544,747,549,455,174,144,876,229,
489,404,916,563,091,747,807,516,046,494,381,150,622,769,440,126,485,703,617,
671,121,197,991,913,012,151,852,109,666,238,319,633,783,152,053,255,948,067,
162,136,939,639,243,643,692,069,113,643,701,940,379,616,162,152,145,310,877,
275,308,564,246,649,658,389,083,770,215,279,904,080,508,481,816,076,562,735,
703,232,488,921,540,068,491,374,207,941,069,227,945,852,661,248,252,490,378,
747,499,901,327,377,444,080,994,384,728,852,099,858,109,034,312,716,718,662,
382,302,125,116,659,608,746,757,896,633,563,167,149,380,594,611,154,096,195,
983,364,393,405,457,174,833,883,016,743,864,688,498,450,938,302,500,805,553,
658,000,102,065,541,600,339,210,419,261,776,947,438,516,694,555,785,440,767,
248,487,930,317,522,437,935,630,628,569,274,957,060,705,063,219,534,198,176,
590,127,989,261,830,450,879,444,191,680,074,255,441,385,786,126,913,987,104,
588,435,380,391,940,789,639,791,181,032,343,912,248,404,142,342,185,686,266,
423,484,172,296,970,571,426,360,650,969,979,056,280,169,229,223,952,914,967,
622,283,176,781,239,586,232,883,013,713,735,188,886,569,165,377,294,665,460,
591,297,050,903,646,528,662,900,232,836,561,552,913,479,589,697,474,349,956,
752,768,700,224,989,540,890,573,220,085,576,394,222,438,475,606,663,715,571,
041,709,849,042,368,175,774,081,818,025,682,667,227,933,708,447,715,050,883,
220,054,463,595,313,265,108,863,745,754,403,248,737,371,949,597,418,571,984,
963,141,467,126,786,434,047,866,603,564,904,162,439,133,573,451,000,493,586,
916,606,455,702,168,808,630,463,445,436,543,883,037,926,157,460,110,211,696,
164,169,425,773,633,513,424,238,180,831,664,444,392,463,749,205,665,283,641,
004,711,149,035,118,024,107,336,039,395,676,227,350,554,780,427,946,447,901,
940,548,230,656,493,467,725,574,029,441,479,648,564,732,469,296,770,222,014,
033,056,403,809,041,848,069,896,977,014,395,391,343,456,048,113,474,327,315,
753,107,379,504,529,987,296,057,391,642,968,903,788,178,265,748,517,775,634,
725,316,176,730,805,090,968,966,234,840,292,117,579,575,046,014,288,127,776,
264,528,139,873,460,678,971,607,080,615,924,481,616,847,917,049,099,903,792,
347,833,954,479,213,657,570,131,898,207,283,341,571,198,314,952,723,854,102,
064,920,796,112,468,945,697,925,252,711,908,710,278,393,634,333,609,378,751,
098,798,099,540,828,192,027,513,851,197,782,663,293,087,805,824,803,295,775,
032,073,329,646,283,299,113,799,616,466,192,422,686,390,002,800,600,452,900,
703,327,928,267,273,808,568,378,619,977,357,507,170,883,135,688,107,113,270,
759,801,104,981,056,552,278,415,688,285,553,308,790,683,711,957,258,734,383,
204,824,265,641,304,635,965,334,501,651,554,561,151,902,983,150,663,854,468,
259,701,568,799,814,640,918,110,448,926,734,625,248,281,226,254,622,992,200,
307,063,855,965,197,045,515,086,041,877,381,748,491,164,220,304,861,583,600,
897,556,846,613,127,882,670,788,075,726,812,554,488,057,292,332,326,053,975,
987,410,686,679,472,140,418,183,054,547,846,690,618,719,902,464,816,500,032,
187,219,452,250,485,412,907,100,358,645,182,651,985,957,589,769,341,142,670,
547,176,757,687,903,117,684,692,954,244,516,228,053,840,213,068,840,730,666,
287,681,140,142,379,541,506,028,931,425,513,724,158,124,187,052,552,859,856,
431,640,768,850,332,478,509,578,389,610,109,902,054,170,745,141,317,315,610,
044,419,141,268,162,039,419,164,588,615,804,626,584,866,984,686,389,214,320,
234,138,882,382,768,001,286,516,941,815,819,091,814,201,300,236,399,850,481,
586,745,774,879,852,436,844,497,859,523,667,844,354,532,040,521,770,549,300,
552,419,762,776,249,620,580,594,489,870,850,213,625,842,241,291,487,333,119,
636,428,370,738,496,657,874,712,254,574,621,625,199,384,391,393,879,664,423,
294,084,898,440,240,441,275,708,423,085,000,914,187,024,664,525,428,908,856,
380,100,926,005,195,909,170,961,370,678,273,255,413,949,397,998,967,421,816,
268,612,128,150,451,313,891,697,041,353,602,772,542,247,813,580,723,345,356,
535,220,076,353,899,017,434,522,722,178,709,957,338,628,417,314,634,710,349,
644,529,401,542,242,483,069,668,541,308,885,957,934,479,380,741,579,062,360,
844,375,441,323,504,187,753,487,299,260,888,542,346,723,836,072,409,056,755,
163,445,247,761,772,668,060,563,088,104,375,361,291,216,913,608,522,153,329,
208,940,220,807,469,832,855,955,838,177,623,363,316,259,436,542,950,760,653,
954,985,856,225,456,637,818,596,098,322,082,318,277,252,672,827,408,635,476,
368,478,305,432,565,426,825,884,082,054,586,816,562,286,499,652,743,846,216,
265,960,511,854,815,193,450,103,971,363,400,395,108,303,761,489,676,364,208,
650,679,789,628,553,772,159,421,502,931,726,940,870,911,547,243,121,282,412,
702,270,776,817,423,561,698,136,186,232,180,363,096,133,788,935,996,287,590,
636,339,394,859,450,251,878,572,426,786,316,363,325,169,715,957,300,684,555,
939,869,378,019,611,827,793,447,697,599,421,051,207,109,341,370,157,192,366,
882,115,731,701,850,277,112,661,444,350,073,492,306,026,243,234,795,366,118,
916,067,259,216,915,917,583,934,512,917,540,588,606,400,552,691,365,246,795,
701,181,808,903,898,787,413,533,643,998,075,624,769,348,846,637,770,038,098,
235,284,207,386,983,283,725,867,142,111,701,717,337,402,124,426,613,052,484,
047,303,714,371,454,914,477,895,501,404,668,197,403,127,413,518,291,370,022,
499,491,342,348,355,960,252,545,407,651,604,919,279,798,048,158,157,309,494,
723,848,915,924,726,383,265,141,030,402,070,543,530,227,677,681,649,912,470,
288,676,384,925,162,823,393,349,086,334,093,327,275,199,941,838,731,829,692,
691,795,914,658,224,445,658,071,027,625,638,132,015,542,156,713,860,316,278,
228,181,672,577,595,739,185,351,151,730,800,782,004,930,530,926,600,420,877,
163,043,312,763,618,481,081,336,495,997,838,530,310,048,901,837,451,279,700,
413,549,863,893,834,507,158,476,759,124,984,285,845,701,881,237,097,098,113,
965,576,526,084,315,752,884,242,083,124,667,626,853,370,468,664,350,088,858,
226,502,508,266,119,738,444,742,519,334,126,720,699,401,597,345,246,351,681,
099,349,440,159,410,140,228,423,643,327,832,992,536,528,231,977,622,246,882,
801,449,889,549,485,829,105,211,955,295,595,861,123,073,107,961,437,386,712,
052,214,565,156,685,242,459,018,961,106,183,825,031,765,861,673,665,432,859,
831,175,390,504,200,893,089,373,497,914,844,468,424,709,952,907,265,280,583,
100,404,237,138,791,337,324,903,217,630,064,495,937,242,939,992,458,544,291,
569,255,720,420,662,862,998,288,035,391,005,908,311,749,270,170,887,728,172,
192,626,935,587,674,540,035,309,195,452,684,615,925,518,077,658,228,379,986,
023,410,141,696,494,078,832,173,872,980,000,917,177,101,586,660,560,355,002,
230,255,696,348,867,414,452,536,144,572,855,003,970,624,752,930,337,138,153,
026,391,303,632,902,319,036,678,971,453,306,154,780,419,092,641,111,115,541,
102,847,912,447,302,513,111,543,657,758,170,266,941,900,063,856,514,263,972,
543,180,727,793,168,015,581,607,410,355,168,329,093,098,623,549,828,418,824,
141,916,925,752,642,591,867,122,289,871,569,177,778,673,413,326,753,320,170,
504,063,857,098,225,625,831,417,024,842,398,101,622,450,838,755,523,231,161,
883,323,599,209,450,731,178,394,492,310,202,425,391,543,792,930,734,923,938,
117,267,143,687,694,659,285,219,026,041,946,166,617,307,109,110,960,341,193,
520,991,862,190,959,034,397,867,726,437,041,088,012,089,163,129,340,887,327,
702,428,367,862,354,859,227,545,982,837,753,562,416,423,300,522,675,634,877,
634,729,533,121,608,943,453,866,966,014,145,898,636,184,235,708,068,904,391,
342,653,088,019,344,911,581,063,070,503,481,635,712,483,766,651,223,047,273,
423,232,175,580,793,086,865,504,322,171,830,001,935,370,402,142,880,960,639,
291,751,379,630,826,811,081,477,900,862,374,388,699,252,675,943,802,508,938,
246,694,327,886,068,946,480,580,923,810,565,364,238,685,444,382,906,733,255,
094,082,151,436,034,795,048,594,846,258,793,666,461,477,099,332,037,675,152,
498,964,448,741,625,197,755,025,285,519,725,179,966,797,082,909,413,934,373,
727,770,227,321,279,053,511,508,275,389,482,070,934,524,678,625,703,012,785,
924,537,229,904,832,850,886,879,324,636,005,766,097,907,506,612,871,059,873,
932,410,066,728,022,031,091,513,619,687,813,647,444,915,929,849,755,339,866,
797,199,921,440,146,111,119,084,832,357,628,817,165,476,271,164,050,264,075,
768,408,282,588,009,283,622,858,663,229,801,433,270,193,534,571,686,487,286,
060,091,401,767,114,314,968,828,376,917,564,618,478,117,943,098,753,363,359,
604,549,543,821,632,477,710,549,083,444,712,979,554,345,490,901,508,323,333,
392,225,817,669,194,983,572,757,109,837,745,899,901,293,775,358,998,932,127,
023,173,390,292,793,531,467,930,743,202,336,497,912,486,101,898,926,919,118,
164,431,602,965,182,407,383,901,663,305,497,129,736,627,721,712,208,526,435,
745,127,272,250,539,289,212,490,112,132,092,155,754,723,495,081,769,395,257,
951,832,070,817,754,908,088,490,184,633,194,513,765,212,664,103,094,391,070,
723,726,687,788,566,917,334,100,980,092,673,511,046,791,599,249,772,304,738,
552,736,767,597,505,976,674,362,108,137,936,389,659,675,781,844,405,609,509,
234,537,397,172,941,619,368,460,295,454,645,111,482,027,207,355,440,775,057,
273,223,147,986,414,326,977,154,332,206,596,272,355,646,748,915,483,251,633,
940,983,151,335,914,767,896,655,746,648,281,206,948,596,714,361,394,341,347,
205,374,167,230,892,379,710,879,474,553,594,321,721,563,137,308,390,639,701,
490,006,941,272,369,593,826,872,599,809,217,089,461,484,989,494,941,630,149,
572,671,312,289,948,503,648,762,573,409,377,822,611,757,546,069,890,039,903,
444,717,637,101,450,662,597,021,104,690,354,100,051,325,141,861,005,805,613,
693,423,744,373,664,310,057,244,772,465,709,830,401,693,751,981,003,443,299,
767,310,529,228,521,073,393,314,537,079,684,794,338,914,826,076,879,522,003,
372,192,955,084,319,437,830,439,460,771,640,597,135,478,465,153,971,370,622,
412,871,706,854,363,211,909,944,545,857,471,413,363,166,304,479,548,419,074,
710,328,058,609,190,006,053,384,095,563,508,406,317,450,986,956,354,807,889,
981,082,633,269,548,610,335,826,305,389,337,245,597,552,807,027,259,296,519,
222,436,411,802,110,075,829,832,529,853,853,650,935,596,751,089,732,518,543,
277,709,164,149,101,240,778,068,894,461,301,514,024,904,813,495,495,375,340,
702,586,515,164,731,080,103,489,272,780,852,322,616,742,781,334,665,062,784,
859,914,864,052,904,617,931,004,085,147,705,136,239,082,694,196,029,759,276,
697,134,447,859,265,184,062,853,730,799,695,200,582,174,743,231,323,599,095,
080,639,399,845,402,097,796,181,173,529,753,457,796,452,633,824,630,890,928,
367,486,148,642,510,510,115,979,969,498,131,699,719,697,571,651,933,368,204,
866,706,771,169,785,261,032,047,094,457,695,098,971,869,755,209,038,639,119,
713,060,509,865,247,321,825,868,963,594,743,816,116,946,046,099,827,958,506,
533,045,712,960,155,917,565,483,035,702,211,653,577,275,944,567,105,786,442,
723,262,551,565,775,967,316,558,103,645,488,333,617,020,405,322,321,862,283,
897,565,394,264,361,156,939,613,693,357,953,107,016,265,577,372,322,177,593,
747,277,003,151,226,988,715,096,620,410,249,760,710,252,764,136,135,816,030,
579,015,865,132,491,826,698,551,736,315,593,579,338,983,612,588,441,108,661,
667,772,670,795,177,208,113,967,463,061,857,351,573,031,875,738,835,916,244,
414,933,995,496,950,739,694,530,266,808,770,287,014,674,750,149,502,709,550,
744,517,092,504,777,450,726,400,858,871,032,826,363,238,522,597,451,820,523,
109,964,250,279,100,107,631,580,006,973,424,751,860,420,877,600,343,888,809,
887,297,764,717,429,262,388,273,094,092,593,795,661,858,122,439,399,310,607,
578,559,496,085,371,845,567,965,711,648,560,861,898,331,471,318,881,953,351,
326,026,557,492,611,051,081,067,510,232,168,194,104,239,778,950,621,932,899,
976,312,480,595,332,871,164,124,609,677,980,008,098,636,971,075,404,808,913,
729,114,133,353,878,668,549,568,786,952,363,679,682,575,413,975,111,692,327,
597,538,758,714,240,399,642,664,574,205,126,348,048,235,275,761,736,728,587,
521,185,545,040,246,954,237,799,554,794,629,745,375,026,960,372,453,453,890,
361,805,706,822,844,363,746,888,433,850,013,020,567,397,463,635,914,288,265,
710,609,137,362,897,766,773,396,602,681,648,907,397,036,065,192,777,725,555,
493,305,818,643,380,898,921,660,293,131,913,253,852,347,529,714,921,940,314,
291,539,844,771,199,736,199,604,135,893,108,186,026,421,864,669,392,247,764,
625,172,398,634,234,639,854,335,338,056,369,621,375,421,752,110,459,406,622,
409,151,574,871,798,589,063,607,056,925,679,015,484,955,229,270,832,418,845,
048,558,514,532,441,540,915,787,699,577,965,259,664,214,644,599,356,832,645,
343,924,139,394,758,282,260,856,905,117,684,020,004,945,728,088,517,748,505,
788,704,731,385,764,157,458,858,549,889,806,949,042,854,815,219,811,912,846,
236,951,626,325,438,252,691,648,116,336,539,660,040,215,804,414,117,103,168,
811,341,890,516,236,911,139,641,100,657,104,366,385,443,746,032,568,281,091,
473,801,168,291,309,090,643,010,527,874,839,298,794,213,804,357,118,827,827,
244,229,281,342,519,145,997,352,466,992,318,524,664,097,919,175,290,340,532,
788,278,656,827,401,787,121,397,714,619,305,976,257,210,399,161,584,622,855,
555,178,251,977,091,073,889,394,788,682,313,223,711,926,299,528,638,230,945,
912,729,577,947,037,191,764,246,520,391,857,804,343,341,101,109,203,018,501,
175,621,910,639,370,351,623,229,675,494,959,857,220,862,520,204,788,056,124,
595,261,052,496,105,413,255,511,773,949,371,112,334,502,123,933,945,853,436,
552,521,250,781,802,349,221,523,077,201,816,893,998,429,742,199,661,898,195,
353,113,625,253,787,932,650,977,926,387,448,272,163,849,059,735,618,870,334,
034,458,705,706,473,247,946,939,525,063,890,497,165,990,657,915,685,726,016,
436,487,015,111,410,649,937,473,392,746,610,053,772,929,289,917,281,835,583,
602,087,058,223,532,063,011,657,967,914,685,376,338,445,727,196,179,773,645,
671,497,176,649,169,471,115,377,945,495,819,942,640,589,043,554,296,425,084,
028,497,083,742,158,419,110,909,324,618,651,384,267,169,181,280,122,946,431,
430,886,347,849,101,855,143,048,526,379,582,281,710,648,793,643,033,794,951,
189,529,083,762,790,855,609,530,777,288,763,351,383,825,389,960,887,784,465,
776,313,317,638,104,553,974,490,799,872,713,066,136,221,342,611,894,639,213,
193,354,057,981,059,634,938,713,401,359,732,286,034,194,575,286,673,825,072,
682,410,408,001,453,955,855,983,433,342,111,898,910,089,110,619,223,275,702,
655,709,635,000,677,703,355,014,864,535,016,224,306,932,712,949,065,807,292,
821,792,548,587,292,829,702,636,294,064,624,776,426,496,832,320,097,727,367,
738,106,511,566,351,159,800,063,281,046,711,410,499,767,090,148,590,722,856,
457,502,371,894,215,681,362,983,473,513,568,609,747,930,056,537,121,559,069,
654,340,960,348,668,564,306,606,604,987,509,668,208,791,110,806,718,616,868,
546,183,011,424,756,707,004,423,203,447,898,621,976,952,685,219,629,708,907,
307,101,559,949,775,243,421,774,078,765,618,302,970,891,411,303,730,645,958,
427,398,036,074,814,549,955,148,029,051,660,495,238,254,899,290,034,948,175,
249,883,453,528,337,989,977,577,066,295,718,740,462,815,266,132,868,488,949,
206,288,569,999,667,851,263,274,277,906,737,556,994,224,974,999,843,863,242,
144,516,969,864,868,101,532,534,103,710,591,610,195,980,869,573,940,688,949,
019,401,639,616,387,864,775,475,640,048,917,845,652,223,947,897,579,160,985,
804,516,772,131,059,507,052,006,846,837,083,549,562,264,118,252,074,698,556,
450,301,535,086,643,713,448,387,099,237,208,269,239,092,937,975,320,506,857,
946,636,085,220,039,416,789,495,687,989,241,351,163,557,392,909,447,270,153,
805,392,751,547,210,254,457,911,298,178,353,911,037,291,720,531,432,904,474,
135,210,517,354,142,587,844,833,580,581,857,518,950,503,666,263,872,864,860,
810,286,287,915,366,377,242,172,255,748,182,421,906,536,536,470,375,881,763,
037,513,048,037,564,092,950,859,842,684,974,928,192,504,863,511,754,466,125,
207,529,345,194,812,731,729,333,254,126,081,370,645,254,818,744,280,549,372,
933,743,358,976,326,860,778,789,609,202,846,561,699,111,889,146,386,894,816,
043,307,287,095,640,672,960,205,686,355,503,722,120,618,138,673,540,915,624,
137,367,518,797,763,012,996,213,817,470,178,956,678,859,407,167,300,955,219,
701,300,548,962,765,854,905,615,839,491,894,234,480,895,718,562,628,836,197,
432,270,054,785,825,332,264,570,347,848,629,633,632,968,786,965,337,692,741,
870,609,717,102,360,195,059,310,641,761,116,077,280,504,073,171,521,888,168,
666,252,142,927,260,185,978,630,299,210,162,555,629,326,206,922,140,400,209,
023,461,960,928,527,878,049,835,201,556,747,229,840,204,934,871,290,233,198,
695,611,765,517,898,628,864,416,876,676,551,608,584,920,126,268,226,652,127,
302,089,436,657,102,272,733,225,723,411,253,910,479,523,311,361,572,534,410,
919,990,200,668,212,275,741,132,453,069,148,225,918,833,388,486,151,471,567,
576,186,542,155,823,441,762,208,533,645,029,893,831,598,057,234,213,819,182,
706,302,433,184,126,097,416,777,354,744,622,000,458,353,928,297,108,928,701,
624,763,352,383,793,518,643,586,669,945,699,733,172,441,662,917,101,715,401,
335,444,046,235,140,568,128,773,406,700,615,398,262,700,441,776,623,690,331,
375,952,708,397,666,699,682,544,399,664,080,425,761,130,768,738,205,487,599,
998,092,472,885,817,889,295,544,885,778,871,563,608,010,610,636,221,105,562,
330,728,425,049,327,695,399,518,977,824,932,008,525,751,111,669,113,683,321,
412,947,794,855,975,775,306,654,639,004,266,244,900,905,284,770,248,994,430,
269,280,683,426,742,600,835,281,412,065,857,529,351,577,037,962,165,367,877,
081,467,687,970,935,039,717,017,182,031,733,841,814,014,228,245,012,748,055,
241,139,510,018,573,662,465,562,638,680,197,348,528,543,022,258,110,613,506,
836,255,936,406,463,976,748,119,682,803,429,287,186,595,486,799,079,089,689,
104,217,853,372,226,815,915,762,463,297,079,104,500,141,834,207,804,250,662,
453,094,521,473,119,271,656,046,058,210,658,886,152,596,459,681,742,469,296,
955,427,999,792,313,871,569,891,427,390,222,426,796,386,818,134,488,427,126,
782,191,669,052,384,872,767,126,331,457,310,982,268,841,834,943,675,265,950,
334,264,817,710,251,249,947,981,044,367,472,514,505,304,630,604,929,448,876,
806,332,493,056,538,873,347,690,865,885,324,082,884,515,319,212,828,004,400,
408,316,578,457,279,845,183,968,310,989,401,274,154,574,458,699,802,690,616,
633,521,887,487,935,737,549,927,063,801,958,485,443,859,439,785,159,154,532,
683,594,985,848,954,060,375,529,081,881,068,956,970,436,935,866,348,890,565,
047,766,166,114,788,402,057,275,458,371,054,269,344,926,503,273,667,808,426,
388,498,566,601,615,744,105,989,883,792,479,158,951,537,377,255,963,648,882,
364,532,705,669,469,096,652,119,260,203,463,731,637,006,780,191,858,608,182,
678,262,370,381,931,973,464,020,201,686,271,524,807,768,814,202,193,253,047,
890,543,359,465,244,505,274,507,116,644,392,252,930,614,723,724,799,321,730,
277,983,380,491,095,040,058,335,959,321,179,779,497,384,769,605,589,527,613,
768,816,056,657,818,946,099,408,418,374,417,056,528,653,345,143,293,948,927,
326,483,069,725,858,440,318,072,711,135,635,793,301,127,691,025,916,414,304,
868,312,301,280,089,005,367,402,134,672,119,458,448,573,835,688,845,811,541,
293,389,309,447,591,132,663,522,119,680,129,511,547,331,659,869,849,958,564,
424,490,546,026,675,089,288,911,989,168,331,971,142,739,548,445,486,285,110,
111,997,489,916,827,099,550,990,633,223,920,503,070,004,370,624,288,076,416,
568,220,301,211,566,235,717,083,894,438,444,370,842,619,907,664,595,832,000,
920,604,974,250,137,449,429,200,396,232,911,679,300,859,255,048,343,113,406,
349,521,976,530,843,591,493,884,368,309,561,190,856,094,848,184,238,335,801,
585,039,920,239,669,340,941,662,912,087,723,142,548,671,492,052,991,404,928,
776,625,939,323,698,816,534,262,021,146,739,904,236,840,405,797,572,876,057,
202,002,500,089,001,396,133,781,363,658,471,028,552,112,192,175,923,849,584,
756,335,662,288,869,919,666,482,310,463,254,710,066,380,824,409,466,673,113,
686,822,607,244,164,670,410,334,623,224,444,657,926,119,319,326,492,999,405,
632,399,602,002,082,938,352,870,878,681,588,941,490,493,708,379,618,480,553,
757,721,081,715,063,851,344,711,237,780,106,309,015,174,071,598,448,980,978,
635,264,718,168,603,165,082,568,801,755,554,957,967,701,151,569,907,753,304,
306,726,683,686,122,063,839,042,385,183,279,395,473,492,394,957,726,181,009,
547,846,994,721,525,580,792,308,058,557,273,638,667,520,456,059,567,659,925,
125,700,114,891,041,953,633,906,842,792,057,079,611,653,882,952,609,339,535,
573,234,851,007,629,078,246,099,095,769,178,654,293,874,242,475,806,015,207,
194,225,493,482,729,199,192,496,542,883,191,880,721,163,851,548,491,428,851,
174,596,935,681,644,810,168,862,605,174,260,951,055,249,946,707,846,341,912,
708,701,355,193,876,016,271,685,178,592,556,337,186,691,101,127,853,522,522,
473,859,499,396,660,288,729,396,469,284,633,216,687,667,613,090,467,649,336,
383,346,426,097,003,872,900,305,929,520,291,058,498,592,452,582,370,909,954,
555,527,446,900,818,114,322,116,106,933,429,130,088,662,700,578,588,447,502,
183,663,038,085,793,005,192,527,917,725,079,516,909,284,952,242,614,580,890,
368,626,090,792,096,665,020,803,900,787,316,851,178,229,801,973,077,719,185,
627,133,206,747,244,326,046,297,905,196,181,531,588,183,522,027,334,370,627,
895,163,966,657,689,890,406,953,455,677,849,082,880,647,352,317,746,995,179,
015,597,413,626,799,616,782,320,345,374,216,615,367,933,889,318,351,902,230,
624,432,895,683,896,524,206,938,062,394,042,120,251,677,627,119,872,988,145,
041,876,405,448,281,669,621,188,483,900,515,387,434,058,429,728,309,421,793,
408,575,735,616,404,746,442,093,895,633,300,600,902,002,306,449,638,291,444,
171,700,616,468,981,781,689,211,998,485,645,660,722,814,345,199,451,143,324,
815,624,701,795,355,776,463,596,306,146,898,988,192,213,140,635,970,081,636,
503,135,844,658,506,497,456,385,932,091,491,931,741,696,335,301,826,681,198,
736,519,768,761,504,014,761,926,822,364,952,267,839,482,385,946,141,844,053,
849,746,005,872,018,920,989,669,532,867,641,429,311,302,654,405,584,163,986,
264,265,138,706,899,183,684,873,640,281,895,658,890,867,319,391,331,718,729,
864,900,239,224,358,482,733,553,027,631,209,508,270,647,558,579,002,097,095,
363,724,880,626,730,003,055,007,317,170,247,842,005,290,036,910,683,057,141,
007,041,259,720,516,655,107,765,477,045,317,595,000,545,059,743,616,201,705,
365,013,011,762,778,331,978,159,115,584,496,100,203,488,785,312,990,362,704,
858,510,791,483,619,808,056,427,225,106,403,109,093,562,147,963,090,714,864,
039,737,312,396,909,956,423,609,940,260,673,941,282,660,393,948,607,407,592,
143,161,340,893,983,583,656,639,125,020,423,659,128,623,192,696,901,607,984,
896,381,131,580,657,411,919,567,753,287,442,739,848,486,840,302,347,127,706,
804,980,964,963,621,570,070,549,873,899,467,351,585,476,554,538,505,614,045,
973,277,834,239,639,417,907,964,641,386,822,164,647,773,497,312,281,823,469,
598,641,630,225,247,701,724,202,072,156,754,464,377,652,153,252,518,775,477,
865,037,154,680,654,124,954,466,756,087,208,678,812,768,952,467,014,743,434,
848,250,480,824,165,132,992,575,988,320,784,343,600,323,497,732,013,146,916,
708,097,440,338,626,067,257,053,300,369,086,975,273,022,807,591,137,441,605,
172,639,569,118,368,406,526,701,505,666,554,044,343,619,602,169,872,790,827,
014,291,432,890,332,474,284,149,407,805,704,945,438,844,258,345,955,114,833,
297,986,901,583,435,403,225,802,618,985,028,820,629,834,514,557,940,636,022,
651,712,819,582,498,483,790,879,711,849,127,452,657,140,672,873,791,021,647,
094,640,359,915,211,679,901,520,981,604,237,584,250,449,550,210,648,783,456,
326,115,041,641,519,998,333,524,204,726,547,679,363,555,856,386,755,952,203,
759,973,427,048,714,648,473,354,978,683,394,776,077,268,265,409,783,463,824,
694,649,338,143,610,313,091,119,767,531,209,516,836,661,442,364,005,091,338,
179,723,505,292,563,251,164,331,092,583,766,041,833,405,864,702,073,046,113,
319,275,376,279,226,745,700,103,767,837,489,420,854,175,698,641,537,762,658,
918,854,562,166,999,936,073,829,098,428,785,820,940,174,863,374,200,961,267,
846,030,241,668,236,566,441,807,236,358,833,832,419,289,163,311,353,817,781,
612,748,587,255,428,431,709,515,481,568,308,136,364,988,275,378,008,394,205,
380,971,722,184,440,357,920,896,371,635,724,589,410,743,276,741,510,136,917,
786,820,790,892,181,746,395,836,538,663,891,907,320,655,985,591,338,196,952,
414,076,581,093,454,133,416,294,246,519,725,989,154,041,920,801,276,217,098,
320,749,837,453,717,561,807,101,146,278,079,345,885,434,396,537,703,413,857,
332,411,199,079,878,724,828,420,508,535,521,939,601,982,105,276,334,537,430,
950,256,231,840,816,652,738,353,363,325,828,501,514,286,787,366,452,154,128,
806,004,425,242,241,782,931,399,546,666,810,382,841,431,738,148,849,907,555,
854,921,224,279,548,531,289,595,817,915,413,844,077,304,029,977,835,502,141,
733,688,656,824,754,185,812,691,592,444,627,026,369,170,505,288,605,112,127,
075,946,186,905,459,301,637,094,381,228,896,546,476,957,033,126,404,208,033,
905,674,423,822,827,159,215,976,642,705,888,135,289,173,088,824,876,611,216,
266,266,354,637,589,639,115,740,605,701,899,957,551,823,918,937,086,620,442,
676,510,986,120,331,646,366,412,484,064,445,120,060,467,189,277,814,551,756,
638,284,485,459,227,967,209,999,553,763,790,231,565,380,984,455,031,066,812,
054,674,352,038,115,186,248,701,128,421,029,168,221,563,556,423,763,781,633,
778,525,709,925,627,164,411,412,558,242,958,038,076,056,581,433,935,998,857,
616,597,785,206,147,411,656,013,689,366,440,087,429,618,858,017,297,528,871,
036,593,508,842,261,512,882,698,690,555,317,039,476,359,173,452,483,905,839,
096,646,822,265,243,595,436,131,059,930,026,641,426,052,806,772,487,035,395,
470,478,928,781,682,993,151,501,858,458,704,422,954,657,501,700,084,709,989,
644,693,270,740,886,820,634,356,982,163,790,842,221,215,014,188,731,428,775,
690,877,948,398,472,120,061,360,453,817,273,553,408,268,614,843,540,421,625,
350,981,394,099,168,332,565,898,375,761,278,332,752,060,577,891,605,483,491,
841,224,112,979,000,086,004,971,707,270,061,736,936,195,543,756,680,942,966,
842,318,333,968,917,971,451,009,927,047,956,499,561,476,726,221,937,061,468,
965,372,634,311,983,801,927,951,051,085,539,442,664,111,680,777,330,996,637,
087,365,839,971,775,842,479,523,123,323,347,866,290,016,379,047,861,568,295,
905,174,598,725,128,631,397,375,084,992,515,083,863,448,622,566,287,462,828,
087,999,463,514,509,596,493,718,781,982,116,525,198,850,045,502,553,961,093,
422,290,811,405,910,744,916,207,019,750,272,339,314,909,433,282,841,968,089,
240,361,179,448,548,989,546,228,089,045,274,544,007,288,231,760,127,957,222,
656,947,893,224,987,155,616,009,331,846,191,131,287,724,888,589,399,271,619,
458,528,032,906,047,647,945,953,225,576,782,179,083,117,940,485,586,095,532,
397,059,380,340,876,615,377,187,294,972,486,112,271,272,146,742,030,601,123,
066,919,616,228,153,685,143,787,146,894,062,757,735,570,225,660,929,125,462,
413,105,103,988,866,546,488,161,149,260,157,219,307,243,162,783,838,460,094,
459,098,326,224,802,152,425,525,207,981,719,994,416,216,391,778,081,781,274,
611,962,816,832,063,969,584,067,386,804,896,715,356,438,854,784,142,657,417,
754,802,995,086,946,212,480,879,010,190,978,900,551,921,144,668,393,447,293,
336,171,313,654,714,493,432,070,035,463,214,147,570,005,709,784,604,372,371,
392,096,206,002,838,649,986,948,234,208,519,652,815,014,451,415,404,456,657,
958,547,897,628,082,931,807,027,108,478,943,087,410,474,631,972,569,084,101,
516,250,098,613,997,111,128,625,603,207,770,198,299,649,514,231,937,889,069,
216,863,344,141,364,480,117,852,194,973,136,864,857,618,345,759,741,449,631,
841,344,291,760,618,874,954,794,018,295,601,601,606,216,390,580,666,675,631,
724,244,840,797,289,207,252,746,782,185,785,460,742,486,503,471,325,726,308,
154,409,891,208,320,488,094,015,083,378,249,563,988,363,069,124,247,553,745,
062,073,217,920,153,737,432,220,735,129,165,045,240,216,661,148,304,673,494,
117,214,357,878,482,287,889,465,489,432,059,619,045,190,848,589,745,190,568,
973,914,523,015,189,890,257,976,572,086,976,043,815,175,322,428,036,518,168,
879,069,689,300,454,737,775,343,832,033,171,317,506,541,667,095,937,090,563,
648,713,567,171,215,310,177,937,297,305,906,095,634,934,244,877,050,838,825,
912,819,635,402,934,477,056,701,611,489,417,488,178,320,614,095,066,682,989,
061,409,641,276,677,504,316,145,899,318,001,297,311,616,533,333,156,179,364,
662,884,194,049,566,574,626,652,388,372,537,023,716,722,643,157,223,212,342,
291,822,351,601,266,948,518,552,326,689,792,622,205,032,650,200,828,750,724,
190,277,196,464,352,221,597,732,760,206,080,734,823,576,567,949,475,802,291,
624,714,340,355,123,259,887,995,521,412,045,269,906,344,835,907,102,563,683,
512,444,133,697,305,850,846,791,217,726,167,438,660,271,605,656,469,898,734,
395,170,385,029,354,342,785,802,684,570,210,696,723,008,483,395,712,284,012,
924,717,054,530,454,377,010,418,320,725,424,367,198,444,645,905,470,986,859,
866,674,417,185,417,382,785,501,376,650,111,128,863,715,341,032,978,115,139,
487,449,557,495,611,533,762,195,705,015,660,799,682,421,793,634,846,994,008,
646,003,111,273,376,696,560,397,833,369,250,302,343,287,297,402,577,937,641,
611,960,648,422,396,184,517,663,486,595,056,818,569,274,000,046,348,343,937,
489,324,702,743,188,358,133,149,993,231,181,346,261,895,119,738,550,107,679,
277,334,824,162,352,558,681,115,496,376,055,055,899,765,981,687,431,874,419,
544,969,189,213,163,554,210,432,180,274,396,072,714,565,957,921,843,449,999,
377,761,223,956,820,284,337,290,728,125,056,977,487,689,531,126,313,841,430,
313,479,347,053,033,250,886,758,800,948,805,846,386,332,734,933,565,603,666,
533,113,580,171,126,552,471,609,931,844,399,843,171,814,427,341,851,011,355,
966,568,583,542,160,498,665,567,631,967,629,209,510,840,339,265,921,973,700,
874,792,000,825,517,944,866,014,160,463,450,886,834,344,117,090,551,411,508,
546,619,698,123,682,608,896,106,514,055,280,174,545,404,857,942,673,149,331,
950,516,144,849,421,872,736,768,365,153,078,725,732,646,851,789,815,134,710,
706,887,982,534,866,311,473,000,020,510,938,127,534,834,583,505,910,714,752,
442,112,165,717,276,659,166,161,505,203,888,103,336,739,614,085,460,914,747,
722,275,607,393,768,993,605,603,788,184,313,551,781,422,179,643,443,727,816,
334,541,750,510,973,367,848,459,811,176,925,782,542,897,805,157,013,729,660,
990,562,420,526,548,169,015,384,884,629,979,010,183,719,593,580,273,763,346,
285,447,821,467,533,652,997,598,280,172,593,648,969,421,074,291,857,401,240,
202,924,268,809,294,580,024,998,859,006,824,287,841,353,482,249,019,785,741,
842,444,038,526,392,839,964,498,495,455,813,102,191,201,483,516,533,965,863,
070,744,793,933,105,857,884,389,941,394,919,275,555,057,449,637,079,833,662,
385,299,506,805,059,544,054,399,499,038,972,028,961,056,618,704,461,262,908,
922,485,740,135,591,438,914,402,540,485,459,686,089,705,780,177,351,406,799,
485,291,870,452,956,554,255,696,536,280,282,340,429,860,183,155,403,195,768,
629,067,219,559,468,028,813,886,523,874,025,996,853,385,780,435,660,046,951,
696,756,994,876,702,398,416,793,639,249,588,426,617,697,593,593,451,602,442,
297,879,163,438,281,032,099,187,619,495,781,583,513,931,701,062,933,353,188,
807,326,692,005,009,532,397,947,902,077,333,470,906,381,966,099,308,725,973,
052,486,632,503,227,774,191,770,352,679,864,255,155,410,341,294,458,727,393,
263,259,236,560,194,984,231,453,431,178,659,383,748,213,774,673,185,693,402,
797,936,495,211,597,682,415,330,954,967,943,976,801,213,775,373,396,888,758,
274,034,462,114,674,453,040,548,658,793,578,444,212,066,613,917,087,512,899,
359,881,389,489,904,670,223,563,025,510,697,297,798,645,364,395,147,216,579,
552,462,874,560,382,916,262,709,392,498,283,277,002,126,753,865,290,555,699,
622,818,267,687,586,715,806,431,384,477,181,903,109,010,762,143,950,638,880,
441,040,725,198,156,965,089,102,422,463,923,133,711,308,897,977,777,745,346,
370,603,849,130,530,799,596,175,323,763,973,688,517,091,727,911,628,927,606,
492,363,694,653,010,327,077,103,425,209,709,827,405,216,438,159,358,914,062,
380,359,794,272,131,570,774,395,553,221,278,267,904,541,378,303,612,070,434,
170,082,274,743,444,540,204,072,887,925,931,326,435,715,445,289,387,889,513,
384,160,349,424,548,899,119,972,595,886,391,588,836,041,047,663,102,401,491,
326,728,977,342,860,740,761,085,343,036,935,711,077,505,681,709,852,591,281,
842,619,239,261,631,080,308,019,209,938,095,438,110,531,229,666,194,908,589,
726,001,729,947,962,132,685,212,133,027,694,472,616,209,417,520,532,785,889,
635,724,875,335,205,599,956,182,707,764,533,012,741,711,126,510,516,040,071,
282,000,406,292,899,454,280,367,581,337,353,326,018,571,156,432,989,134,470,
838,347,573,415,522,264,433,286,983,587,616,369,501,649,649,702,572,881,566,
794,414,885,673,335,201,473,572,338,408,946,717,805,878,477,463,863,909,065,
619,248,449,884,954,336,444,400,820,703,062,003,415,898,764,693,995,408,026,
618,487,571,330,890,805,569,308,703,005,344,337,062,837,814,482,062,463,406,
097,683,356,798,630,030,616,393,959,610,983,134,856,873,252,847,274,142,023,
788,621,358,022,721,309,794,252,258,603,843,314,174,380,439,034,177,078,015,
936,229,764,892,521,219,075,405,134,352,161,718,502,172,798,955,591,244,900,
705,258,383,968,490,040,748,804,678,217,012,716,954,219,063,905,484,678,744,
616,909,803,472,281,331,660,071,364,817,818,546,794,814,515,149,464,816,961,
394,330,305,793,054,230,949,579,470,128,216,098,697,988,472,198,222,367,534,
760,916,767,877,794,627,090,594,383,103,259,142,259,543,487,177,639,326,098,
019,620,340,316,735,617,415,763,853,570,759,957,712,573,993,814,305,014,273,
088,303,344,692,493,474,775,597,503,657,774,986,496,132,744,231,117,823,497,
850,474,573,679,447,905,424,781,945,226,337,307,966,409,937,214,619,688,968,
955,332,799,874,826,041,931,381,723,090,588,582,393,988,563,313,647,944,814,
647,408,910,288,671,261,557,641,884,346,260,414,899,166,183,973,605,739,809,
563,155,592,501,533,704,464,472,655,425,937,349,191,931,539,701,028,155,403,
367,988,593,624,664,980,165,199,078,786,673,486,866,804,461,257,718,435,050,
264,880,277,128,120,929,795,157,098,987,631,362,065,318,712,788,882,615,288,
706,355,289,718,611,078,836,957,742,208,432,337,538,451,110,514,478,759,131,
342,052,650,611,825,435,822,077,554,203,302,035,005,201,927,321,247,732,601,
177,274,808,519,495,681,017,361,080,464,174,003,616,892,062,495,047,508,163,
726,811,927,698,568,194,310,539,193,140,475,512,976,558,761,319,915,815,498,
483,785,733,252,544,298,113,069,828,849,889,165,439,652,478,320,713,581,116,
051,894,647,342,877,851,844,754,104,998,946,343,505,852,701,121,869,549,710,
150,031,719,294,095,612,573,989,381,453,315,323,480,312,404,151,766,586,878,
036,259,472,762,667,901,486,859,689,807,477,396,575,343,208,226,018,500,599,
029,306,802,717,900,959,599,089,731,260,643,170,363,500,931,410,167,139,695,
633,096,652,522,600,498,466,681,480,678,923,589,850,597,928,309,227,706,725,
023,250,476,524,747,384,010,811,648,987,240,289,679,286,289,179,324,323,290,
594,617,499,702,772,901,681,015,534,865,471,204,285,472,407,287,251,426,597,
248,166,316,605,057,225,559,579,738,488,036,780,282,194,828,636,119,077,554,
589,564,316,344,929,858,193,618,090,256,431,922,526,543,605,374,264,169,244,
518,407,664,991,207,461,258,118,187,522,101,035,994,115,996,958,497,761,014,
177,679,918,132,343,131,012,635,030,240,464,699,018,883,923,838,262,757,668,
704,839,565,524,262,013,645,116,398,810,386,765,862,157,502,135,223,337,052,
367,304,035,017,429,748,465,513,284,911,579,513,608,732,729,449,542,787,824,
617,178,719,245,611,822,521,472,001,298,220,250,167,275,727,879,757,662,475,
477,053,955,648,155,716,844,574,025,620,304,750,406,340,317,614,190,869,774,
979,828,542,615,661,611,406,730,829,743,249,160,486,912,844,756,117,060,864,
070,818,942,295,920,070,930,611,602,667,625,936,318,944,853,103,343,906,105,
947,636,304,576,209,049,008,349,688,174,981,018,478,611,976,312,108,875,053,
979,489,653,366,843,178,540,588,760,665,663,746,822,447,002,542,139,368,676,
069,980,787,455,902,454,087,864,043,917,712,969,352,817,116,627,103,103,172,
862,700,574,845,677,520,822,010,480,010,984,291,658,443,345,053,295,649,167,
205,122,927,109,902,955,355,176,049,198,349,834,951,521,454,263,336,280,668,
278,111,324,719,356,946,661,206,361,549,275,750,311,324,560,619,075,233,406,
252,448,567,875,998,032,506,595,550,285,643,295,317,105,576,235,624,607,244,
814,406,012,921,524,243,386,607,305,941,177,576,791,198,049,634,762,453,359,
168,283,581,935,425,062,407,123,294,266,760,343,279,036,388,617,778,745,141,
453,008,557,989,843,341,103,836,132,814,514,251,452,710,724,152,759,076,492,
136,318,320,869,206,056,249,715,918,572,662,376,472,395,433,680,316,773,875,
275,821,887,891,665,446,467,979,828,838,168,641,327,351,462,667,898,142,889,
520,046,899,498,442,095,349,533,173,244,286,641,607,630,213,781,113,860,649,
489,011,112,110,953,287,719,383,169,119,084,269,771,343,915,691,247,177,934,
487,991,668,467,716,987,791,789,775,964,523,169,097,624,475,470,367,496,234,
709,386,711,358,409,814,503,484,913,542,134,637,088,860,094,876,331,478,370,
751,167,129,587,215,622,800,083,443,516,726,304,748,804,532,527,503,499,987,
008,890,012,528,543,854,860,906,337,849,305,274,851,714,074,408,829,758,900,
086,154,735,696,124,743,310,822,501,522,594,865,769,775,999,142,596,210,052,
273,106,756,912,695,421,059,261,181,847,511,709,475,817,100,361,928,319,234,
513,218,410,723,141,905,287,161,672,859,234,554,381,978,340,436,153,853,540,
558,227,593,721,240,394,129,837,505,796,700,533,669,987,361,951,891,220,204,
660,588,596,563,269,893,822,654,043,678,066,514,905,066,265,677,889,043,579,
599,106,207,199,832,026,509,758,826,518,269,595,384,716,380,005,549,834,542,
907,757,482,635,982,132,506,198,384,482,487,968,852,579,823,499,730,743,194,
229,351,955,467,981,105,691,142,420,973,796,202,773,337,425,815,432,233,424,
799,700,414,597,134,884,871,850,994,236,310,381,494,542,823,235,532,951,322,
916,264,993,896,331,809,899,385,099,655,412,694,868,076,295,264,471,585,713,
199,172,255,441,069,858,933,204,102,980,851,067,492,971,627,911,565,112,961,
960,404,524,272,129,646,931,963,626,639,572,990,414,619,018,460,387,576,747,
311,519,734,624,709,312,907,341,795,275,462,432,327,558,464,998,633,168,841,
743,510,999,855,529,036,212,849,131,640,388,605,179,111,514,545,022,757,091,
632,096,593,262,851,923,005,880,009,197,429,370,223,191,273,428,420,753,264,
743,258,116,056,293,515,886,593,220,636,344,261,488,218,004,096,411,561,987,
510,284,396,463,344,395,353,322,482,829,480,779,083,048,484,434,995,067,359,
301,392,682,612,675,500,154,876,168,939,523,835,598,929,346,407,270,978,654,
188,290,995,422,027,198,458,535,043,295,751,762,365,603,777,647,239,489,931,
509,830,006,000,268,121,181,631,096,141,960,975,622,969,449,178,411,034,307,
087,163,416,007,575,421,793,598,966,926,712,802,392,977,723,050,229,946,931,
964,512,363,932,787,587,081,401,024,833,094,208,763,077,497,504,986,009,870,
308,646,713,667,957,264,949,013,957,313,933,956,452,873,051,159,232,096,301,
169,266,107,562,045,912,816,386,219,877,868,926,836,981,318,937,316,411,494,
019,606,077,108,290,154,838,369,109,357,771,399,867,312,512,641,902,124,564,
485,527,963,572,583,596,876,263,569,042,174,230,383,021,866,036,471,581,111,
983,233,026,453,527,407,055,457,428,277,690,231,591,532,990,994,504,253,804,
999,923,393,127,246,026,420,185,878,478,722,331,733,436,314,158,555,150,119,
569,327,522,950,621,485,612,605,660,760,306,588,929,231,536,268,945,826,255,
854,056,009,886,321,258,252,861,367,236,187,566,141,614,165,560,623,565,476,
649,305,152,630,735,104,915,460,472,476,799,645,017,145,606,076,504,443,015,
312,766,547,416,322,425,202,357,745,978,904,293,966,005,729,383,160,954,132,
694,812,780,529,246,426,406,480,971,360,780,640,253,498,428,422,058,502,552,
373,074,602,196,228,336,391,212,585,411,391,992,057,089,015,616,565,981,576,
857,374,175,834,987,763,324,762,472,046,706,695,285,176,006,932,720,317,700,
625,078,808,939,223,858,087,762,217,404,518,224,791,516,391,270,574,399,378,
089,086,909,503,777,152,532,776,648,487,263,133,545,470,254,569,278,423,838,
770,378,521,409,942,990,399,358,279,658,301,446,981,690,085,621,581,526,798,
967,347,980,083,453,236,638,683,090,912,865,786,426,871,139,756,106,764,971,
622,795,656,153,881,888,792,023,313,496,729,835,837,122,276,214,027,296,204,
555,771,538,736,513,066,695,708,763,740,928,093,460,096,937,540,725,356,959,
647,085,241,232,374,924,891,762,681,200,023,428,959,270,762,533,369,546,024,
426,681,482,673,944,634,640,797,310,468,819,746,164,409,153,481,942,278,067,
856,548,073,665,511,472,824,112,799,648,894,199,166,542,234,153,660,606,651,
292,069,684,364,605,410,053,397,933,317,894,845,117,588,809,286,568,777,140,
705,625,984,946,329,191,757,010,698,987,149,991,215,884,957,047,860,666,780,
867,288,670,765,978,841,829,421,426,271,088,641,329,280,990,693,766,363,077,
775,518,744,459,275,957,366,496,241,239,864,861,082,062,735,588,940,083,546,
572,235,267,705,572,656,946,392,340,892,049,942,684,751,971,365,460,439,065,
337,310,873,997,637,899,736,703,761,698,023,528,978,639,759,711,340,859,678,
963,436,051,220,077,359,726,790,546,172,580,871,037,872,612,173,941,037,271,
118,752,901,592,107,832,795,887,851,222,614,193,222,947,750,883,777,659,250,
017,974,805,547,542,975,435,799,885,013,289,931,192,529,854,856,721,194,304,
504,614,655,680,317,302,301,644,756,567,088,789,034,410,486,893,866,962,474,
932,778,154,584,914,179,406,190,902,935,219,205,203,279,889,425,267,977,969,
912,178,725,358,665,466,111,178,275,319,868,406,818,466,757,700,932,188,948,
045,529,380,035,870,356,011,893,551,242,817,237,119,275,115,189,854,267,574,
366,349,374,895,770,508,146,280,326,718,681,644,461,700,570,918,868,435,199,
037,839,103,094,111,502,269,268,306,114,213,059,982,647,731,279,939,529,993,
968,098,080,278,439,074,452,980,896,976,181,128,743,568,385,403,063,752,471,
053,985,321,028,609,471,558,554,536,160,229,544,660,371,561,508,229,269,691,
793,155,715,015,600,295,530,184,054,981,204,625,735,247,366,699,197,039,809,
839,553,711,155,660,289,120,292,533,718,223,169,141,666,934,416,449,653,718,
855,915,248,056,287,596,504,247,713,663,499,450,373,937,589,223,048,357,630,
413,304,405,469,878,767,885,440,173,181,961,287,027,107,578,384,827,836,379,
377,419,552,175,036,031,567,978,990,429,523,654,871,374,390,189,707,507,766,
988,276,214,891,516,847,541,877,208,497,497,723,625,795,173,635,790,569,213,
357,673,436,458,556,778,812,281,630,602,928,587,524,880,046,321,198,974,831,
941,951,451,417,683,292,264,144,094,892,258,003,335,739,270,570,434,100,783,
228,097,464,476,672,577,648,654,534,263,557,613,852,059,210,858,775,268,773,
652,889,430,911,534,485,280,021,399,861,972,631,333,334,613,027,419,158,021,
690,847,384,204,869,001,116,635,813,861,387,897,515,447,079,745,945,404,907,
121,902,676,282,279,241,602,146,900,490,070,049,863,542,442,585,616,705,307,
845,913,446,332,218,921,075,270,434,774,111,355,498,084,537,647,576,864,643,
772,344,907,354,551,601,809,372,127,121,389,454,205,074,986,572,841,823,542,
993,586,253,280,728,214,501,890,410,688,125,752,212,336,419,985,349,287,507,
461,966,696,533,746,218,596,505,508,015,897,832,439,259,119,818,101,485,415,
093,288,744,808,206,634,512,226,555,767,309,731,189,416,647,245,330,575,399,
688,830,367,940,297,311,022,057,106,385,641,841,551,909,210,293,379,025,888,
925,706,948,476,809,018,178,088,004,065,746,735,671,895,434,519,546,439,172,
624,226,354,270,591,403,868,352,357,425,729,853,398,922,668,748,203,444,051,
999,964,815,285,299,091,237,910,247,139,689,343,951,346,525,247,861,577,080,
334,910,948,229,968,859,829,536,534,455,714,773,304,208,452,296,743,114,957,
350,631,569,673,250,602,409,228,547,849,443,738,958,343,931,790,455,008,997,
094,140,250,043,607,797,739,313,261,253,152,267,925,794,940,938,455,918,764,
984,749,259,652,138,571,344,347,868,828,809,742,179,022,953,978,725,172,507,
418,201,355,161,279,441,428,535,668,133,870,473,147,869,037,051,100,228,430,
820,328,070,236,259,106,638,975,099,912,383,460,606,733,575,192,261,188,506,
083,057,781,067,049,708,473,422,439,409,175,361,174,228,651,094,071,851,111,
689,393,295,551,237,386,817,649,222,355,114,142,519,388,386,509,933,990,048,
293,119,365,662,272,914,611,751,442,166,476,832,782,410,557,106,296,515,201,
163,757,833,454,701,136,736,721,138,587,739,344,620,389,156,213,308,498,933,
079,681,164,669,785,865,261,219,643,134,098,394,779,012,230,414,672,913,225,
906,808,656,774,174,355,370,072,807,023,951,133,386,502,365,527,260,916,553,
297,191,290,809,850,363,250,770,611,059,673,161,190,799,134,352,280,528,292,
588,924,339,846,414,006,409,156,800,058,959,610,889,524,425,955,079,241,762,
682,092,237,362,557,553,676,854,064,672,173,641,718,544,574,123,226,173,090,
850,394,943,646,715,731,856,913,387,128,861,593,671,401,440,785,225,705,591,
670,428,931,257,781,904,265,432,045,837,149,138,640,513,399,053,422,433,783,
584,109,840,719,162,481,543,354,603,622,056,962,100,516,915,414,695,548,809,
889,557,478,017,379,572,263,376,538,404,824,037,179,441,481,649,286,990,937,
837,750,940,709,299,982,232,268,924,455,704,362,020,275,078,728,525,252,799,
616,378,887,620,488,770,257,200,172,755,305,152,641,654,843,333,060,352,794,
149,874,912,381,831,831,503,325,804,240,987,848,045,945,067,878,091,956,125,
119,338,549,714,336,477,929,749,997,629,042,658,416,561,341,478,489,159,522,
243,917,840,306,220,376,757,594,379,086,519,996,147,191,972,959,050,044,648,
570,673,280,545,318,374,582,272,562,680,836,286,765,593,444,641,590,672,998,
342,564,578,806,740,463,436,568,818,787,573,739,561,594,225,731,231,312,337,
754,110,895,633,113,776,207,157,408,887,806,508,756,482,978,723,507,733,018,
891,581,903,441,017,154,164,733,671,669,102,979,704,265,160,247,856,089,380,
631,108,438,887,082,023,940,610,360,494,645,755,928,986,069,463,386,731,717,
740,336,518,681,322,743,183,073,752,098,223,992,371,419,934,710,101,789,999,
819,716,254,403,432,816,078,669,774,643,282,352,791,001,108,816,575,288,806,
838,762,032,739,557,865,616,781,164,727,347,148,056,119,392,714,555,818,919,
386,138,494,031,805,194,588,758,924,228,936,026,055,846,869,948,513,095,208,
700,983,977,768,877,381,862,530,654,181,382,139,455,674,907,023,272,382,966,
842,630,966,742,850,576,610,764,369,033,210,427,817,125,612,078,611,329,277,
690,012,430,911,331,670,305,382,427,482,243,203,585,308,146,540,839,763,524,
955,311,485,053,133,894,883,779,659,176,485,984,888,445,335,170,522,184,480,
741,210,426,343,408,206,635,687,200,289,460,732,183,429,892,636,937,744,487,
311,493,957,277,178,888,589,526,715,686,555,424,065,611,783,035,797,803,566,
769,662,402,280,453,104,238,281,049,685,015,519,312,420,892,799,948,422,454,
586,561,577,864,965,018,195,511,183,687,713,319,156,384,449,174,632,486,866,
026,370,956,694,039,584,592,206,329,356,417,871,234,909,166,583,540,334,340,
596,554,677,270,944,548,311,388,975,117,638,111,227,056,783,360,955,742,579,
747,931,940,127,975,506,302,526,618,813,895,525,134,436,280,667,486,692,244,
494,140,571,921,486,109,616,708,692,147,795,180,591,948,265,271,345,576,398,
960,545,318,556,697,282,056,446,610,883,327,757,492,055,980,137,257,544,413,
816,720,868,132,637,057,686,654,351,011,081,540,585,800,486,813,571,672,827,
444,078,633,382,286,598,947,075,557,445,096,760,932,319,890,107,813,717,216,
684,604,911,376,868,503,601,149,509,556,230,000,482,652,829,494,992,549,128,
287,667,635,836,574,751,933,148,570,550,575,322,093,585,043,092,898,109,641,
500,963,730,740,302,322,330,823,071,135,031,729,639,339,601,167,645,141,960,
907,021,470,966,006,311,867,796,926,439,950,406,757,567,082,889,587,760,960,
878,063,649,808,190,128,591,055,314,500,560,514,000,246,044,372,439,142,173,
295,120,761,231,111,846,865,730,988,890,542,610,802,031,094,872,332,342,417,
555,007,477,068,294,059,385,804,919,988,838,486,205,664,021,674,100,907,521,
707,374,670,442,473,929,952,199,332,488,953,267,805,493,477,270,531,803,682,
063,622,250,354,268,266,951,312,535,665,139,877,216,200,173,395,793,395,907,
749,554,960,972,894,271,390,565,068,419,615,654,813,750,251,264,950,315,937,
183,587,831,925,262,727,560,326,939,951,341,542,225,594,926,754,001,949,111,
944,796,596,567,971,248,051,295,364,274,897,356,364,361,747,619,978,671,604,
188,277,703,245,269,087,133,779,185,127,872,678,372,291,431,903,558,009,395,
601,542,085,686,936,576,225,820,252,997,117,623,189,906,329,680,489,517,791,
300,092,367,294,871,622,162,476,504,528,878,470,514,180,887,680,352,442,491,
542,649,618,373,937,298,602,272,978,985,192,195,444,188,587,561,467,456,758,
794,931,586,725,013,922,713,001,927,005,532,043,910,150,580,401,551,329,050,
639,071,818,521,268,358,929,853,184,387,302,004,009,579,462,169,904,005,616,
069,763,751,544,744,165,278,193,843,437,038,191,514,352,672,652,841,159,849,
881,189,274,244,515,285,683,518,701,124,171,943,354,313,964,039,634,689,381,
690,394,184,797,853,246,259,113,393,959,638,975,522,758,339,175,559,504,185,
472,778,981,557,026,938,697,568,131,536,230,062,298,884,813,160,179,248,768,
808,128,016,048,814,845,140,772,346,788,492,258,072,021,772,014,988,376,197,
229,003,347,107,236,740,950,844,514,502,594,907,845,023,702,041,790,970,080,
176,896,627,311,587,634,345,051,810,239,322,648,345,495,297,412,756,232,050,
944,996,645,365,312,471,903,477,299,874,812,182,787,452,705,318,822,628,098,
172,187,788,121,041,777,005,700,504,179,114,038,221,346,513,878,708,399,149,
102,375,395,660,148,867,025,951,029,718,205,414,682,708,993,182,719,072,765,
449,770,560,972,883,314,853,916,467,288,853,606,521,648,675,158,667,037,548,
007,770,482,355,805,002,745,726,534,898,759,825,493,533,447,571,252,311,661,
586,103,821,134,528,861,160,988,963,221,053,695,364,648,657,751,105,324,904,
257,475,508,545,868,017,563,422,710,259,026,282,969,590,887,619,854,075,127,
350,995,115,306,680,553,094,315,207,280,451,329,791,074,190,373,227,396,494,
143,233,101,466,241,802,442,017,416,213,960,778,683,358,647,602,882,828,615,
396,081,098,009,753,572,908,899,295,517,517,735,518,681,022,836,219,300,410,
164,209,966,841,687,824,963,915,958,670,304,607,728,480,631,967,368,327,301,
541,059,726,233,237,388,097,947,674,113,222,224,023,988,516,791,942,152,388,
076,353,087,138,201,814,195,668,417,679,519,610,808,122,569,904,867,244,872,
323,845,380,353,538,226,040,547,400,068,103,125,881,115,424,533,378,967,331,
588,267,771,682,563,858,046,343,455,776,245,588,725,438,173,442,764,261,630,
122,401,454,439,838,951,529,917,548,369,644,989,388,296,700,386,938,049,338,
590,387,440,954,359,061,097,738,331,907,870,384,836,514,796,023,314,422,925,
754,988,445,648,018,968,854,077,139,521,308,179,294,426,560,554,198,582,004,
252,497,908,150,063,565,183,884,873,517,446,728,834,674,610,519,365,160,888,
023,059,073,135,412,357,041,780,605,487,908,204,195,123,781,691,840,989,522,
477,837,036,936,218,518,740,677,319,542,659,804,939,394,342,821,613,527,032,
004,886,284,239,748,973,239,891,455,730,228,233,914,014,156,593,796,683,588,
466,248,021,023,970,328,105,185,693,470,678,458,756,765,949,702,933,201,279,
543,315,267,183,573,297,758,954,825,196,067,965,843,700,800,681,267,703,259,
078,661,993,436,387,853,871,011,848,273,014,056,852,952,702,556,153,662,521,
049,500,750,086,930,790,801,374,373,225,489,897,929,564,577,182,761,534,510,
318,160,133,203,503,696,245,219,758,744,095,732,238,694,255,811,580,674,112,
222,076,004,071,741,061,549,487,851,480,623,373,909,688,159,139,436,387,554,
293,937,345,307,928,258,980,835,427,533,467,388,840,636,828,453,927,729,743,
648,913,537,017,682,037,976,162,653,404,058,952,090,839,394,676,681,683,308,
478,409,820,911,633,017,163,951,164,512,263,105,471,574,506,805,427,973,613,
079,249,230,064,434,845,845,809,424,052,763,203,683,850,760,113,595,560,329,
546,042,006,827,800,432,534,237,240,793,840,192,066,941,248,104,041,604,214,
453,372,214,122,070,334,006,311,956,943,527,537,941,175,245,743,319,049,422,
409,549,450,190,346,612,819,774,229,918,801,143,128,129,907,116,211,071,250,
068,756,761,774,922,808,917,788,722,855,770,281,193,805,764,710,004,785,023,
915,628,118,097,401,699,611,284,490,176,797,987,196,359,371,983,733,854,881,
301,177,645,092,107,482,515,435,871,644,894,175,403,845,522,509,399,933,390,
250,626,025,047,546,111,973,461,454,634,519,073,093,193,895,581,824,678,843,
502,276,149,972,659,630,700,345,020,375,578,284,340,451,323,329,934,869,458,
068,711,627,793,636,649,318,399,147,313,355,672,693,212,067,154,665,288,142,
692,772,941,174,420,991,809,841,243,796,926,571,791,936,868,715,303,745,186,
227,016,003,611,577,993,197,106,212,031,278,013,167,771,388,553,328,694,925,
586,528,969,091,239,264,017,264,105,043,267,925,788,695,570,000,970,021,317,
837,574,394,266,579,481,547,000,754,649,077,389,086,650,902,457,377,509,811,
909,361,082,801,895,438,419,481,563,438,987,965,616,983,235,118,350,390,694,
625,210,822,103,162,179,619,270,110,904,416,532,331,478,094,600,337,671,844,
828,128,126,079,715,507,823,736,166,485,266,546,250,724,466,477,314,529,946,
265,029,790,169,402,147,923,708,669,155,520,256,925,992,473,979,776,037,337,
129,525,569,754,699,867,284,636,232,412,379,556,342,335,612,974,376,378,123,
109,131,859,799,371,209,015,118,471,637,553,524,040,646,865,068,021,813,087,
723,751,899,867,083,860,347,673,479,673,689,650,202,347,259,658,539,849,504,
824,818,290,456,907,754,363,480,135,036,950,172,304,232,766,689,754,079,657,
399,186,970,029,492,674,380,525,089,137,488,329,034,977,485,281,790,335,592,
780,317,045,504,344,386,051,226,757,595,201,959,816,438,096,165,873,863,986,
048,963,519,389,200,676,557,743,337,492,591,910,457,466,077,412,554,797,458,
437,536,193,410,241,234,007,871,452,635,749,007,343,737,091,137,522,157,153,
478,775,628,165,696,510,345,320,192,037,704,642,262,223,711,115,799,281,047,
069,526,845,750,841,384,599,032,293,288,215,991,190,930,847,382,097,782,911,
078,655,333,980,000,867,667,899,714,584,358,448,533,303,684,091,350,817,306,
102,573,547,494,837,904,322,308,243,482,072,105,317,061,680,589,231,168,767,
378,892,771,018,601,785,998,868,641,578,189,351,546,867,391,614,299,967,837,
897,302,360,516,211,630,676,208,152,227,640,488,700,960,733,518,939,927,324,
118,818,878,778,223,330,286,162,442,705,553,856,161,579,177,710,224,106,526,
919,862,703,831,188,355,147,254,557,715,570,803,538,515,726,766,348,065,077,
699,999,874,124,744,911,436,548,811,058,292,652,369,599,602,306,198,582,280,
586,268,718,496,203,945,043,885,999,444,907,714,469,656,619,555,156,114,309,
764,886,585,449,595,728,659,670,054,252,226,921,677,060,452,789,415,622,611,
183,699,786,938,488,350,585,773,686,927,361,251,094,558,531,524,920,406,191,
589,916,175,147,176,759,847,127,516,186,511,426,881,410,676,419,348,048,057,
082,704,578,159,985,633,297,843,617,412,271,518,461,877,025,195,682,273,207,
985,165,091,387,205,479,359,651,605,942,104,767,471,388,122,696,110,640,776,
227,349,503,214,358,720,419,748,843,340,189,641,396,299,428,428,513,491,095,
736,944,922,531,036,554,069,836,844,154,898,730,428,808,682,631,594,468,392,
387,409,050,562,622,422,332,811,084,849,905,217,826,713,396,794,561,865,324,
293,283,884,773,952,341,255,475,824,618,970,465,437,302,274,714,383,674,278,
421,105,180,718,807,114,951,269,103,796,550,341,986,870,289,404,368,489,066,
658,171,911,798,511,977,703,522,354,272,962,712,458,005,792,950,485,517,215,
012,912,542,180,150,782,901,312,635,966,322,562,301,506,639,571,716,055,450,
152,996,021,359,353,928,191,198,028,232,876,438,413,656,359,970,959,779,342,
509,682,875,131,909,345,889,826,139,121,824,997,562,473,191,628,390,734,306,
467,074,853,026,668,190,222,825,455,389,761,480,313,447,000,175,482,796,039,
380,924,888,554,045,218,057,089,841,356,633,617,909,352,771,347,906,122,901,
486,012,705,935,790,304,913,270,969,892,269,801,165,057,589,913,038,708,061,
331,296,030,142,141,492,202,830,846,664,846,049,146,590,264,384,465,204,088,
749,299,943,922,646,440,734,212,298,542,122,356,793,391,202,891,411,193,204,
857,784,362,342,367,217,381,778,957,265,697,331,744,387,393,155,125,812,735,
808,686,990,635,212,489,510,304,558,830,003,745,061,342,523,796,763,769,794,
579,050,566,329,539,498,964,186,305,940,625,990,729,288,543,564,956,112,274,
738,257,988,034,601,624,576,182,843,632,507,865,942,755,610,616,899,363,824,
311,603,747,989,528,241,114,842,317,092,037,194,566,880,739,522,597,474,088,
262,796,455,720,287,760,113,560,280,452,044,591,178,923,590,443,543,415,172,
254,924,379,646,403,975,861,211,830,488,639,707,119,317,554,347,216,547,357,
509,078,299,545,627,093,681,043,554,743,585,308,955,850,862,353,218,763,096,
638,131,248,779,925,999,864,426,347,437,979,485,000,188,280,033,841,319,534,
591,074,548,610,786,641,113,309,446,196,805,491,408,691,973,626,737,345,379,
933,609,161,549,582,147,258,272,948,621,659,248,159,995,443,511,309,689,919,
930,142,030,765,740,286,259,098,702,205,821,105,105,923,133,501,190,337,565,
224,068,259,744,218,718,872,773,457,695,130,010,966,074,409,305,472,136,905,
493,678,447,356,074,429,341,151,401,021,674,090,803,577,254,878,520,089,996,
134,075,841,981,773,641,418,537,610,120,889,517,473,255,994,835,270,990,516,
274,654,944,832,984,622,415,169,173,065,378,337,428,856,816,927,320,857,351,
520,755,164,011,361,302,385,685,949,176,676,840,604,952,082,405,716,394,943,
518,864,022,269,947,519,753,293,548,683,569,191,979,381,900,709,324,128,661,
854,524,228,121,167,273,541,061,904,530,376,319,362,429,022,208,479,740,143,
476,854,223,804,627,461,117,257,223,570,932,591,524,777,605,264,483,820,239,
293,718,741,663,809,983,222,475,228,657,540,741,459,709,295,119,745,200,867,
104,205,676,463,140,754,346,232,667,753,787,146,102,563,247,897,980,715,096,
909,477,509,462,553,329,999,582,503,536,449,819,775,236,332,788,212,492,972,
782,885,397,169,185,668,472,997,612,784,368,394,412,056,470,476,093,682,770,
858,920,328,226,146,427,420,732,428,975,286,974,143,749,707,239,954,038,494,
645,661,288,995,920,782,871,918,740,531,488,867,169,588,009,715,807,682,438,
283,239,917,575,674,197,140,899,252,108,571,488,853,435,634,819,652,311,664,
964,336,673,485,361,804,657,056,916,102,790,450,259,934,209,257,773,676,085,
978,933,376,267,149,593,198,889,058,341,732,533,072,427,189,934,024,462,253,
337,891,446,046,264,309,171,106,247,640,862,351,029,272,485,234,375,465,307,
346,958,737,977,230,526,111,826,441,630,743,843,602,023,094,026,231,810,994,
684,427,815,486,646,188,945,892,455,880,417,108,438,996,184,537,116,619,918,
355,448,711,165,211,731,508,742,778,593,200,444,026,234,419,991,155,521,692,
444,290,020,829,317,966,709,972,882,151,491,523,288,600,715,523,720,791,459,
013,541,991,509,726,473,532,190,647,336,056,715,708,244,534,550,633,618,581,
657,596,454,823,861,142,071,813,900,487,044,230,585,879,640,785,323,832,937,
049,323,465,940,632,462,270,573,703,247,166,765,972,090,483,647,946,688,182,
669,689,372,740,239,077,528,018,346,175,792,727,841,788,403,433,279,129,679,
248,793,431,071,926,223,633,152,576,431,845,586,424,511,995,851,291,917,391,
631,687,757,394,662,418,746,034,805,625,405,956,020,919,254,934,085,363,689,
434,282,603,658,327,266,776,448,938,760,209,626,052,494,991,467,218,530,728,
304,160,296,164,997,724,049,064,282,476,327,624,264,665,919,209,867,088,235,
310,495,973,007,294,358,890,107,583,793,632,290,692,162,032,009,833,799,655,
538,042,717,005,767,417,741,945,710,002,383,493,973,808,027,642,563,563,870,
353,080,689,981,209,521,928,322,273,304,244,946,952,276,001,816,671,844,976,
696,776,501,996,912,222,775,627,506,244,456,200,581,825,688,105,157,842,429,
879,150,193,108,921,333,557,338,824,803,061,053,769,156,411,610,786,620,740,
421,675,656,317,704,181,491,427,474,012,314,025,160,527,107,402,005,977,624,
603,554,261,175,247,307,311,815,322,487,259,161,790,405,376,732,921,514,412,
761,830,644,595,250,413,778,704,063,490,220,700,204,510,429,689,172,237,182,
502,011,268,908,711,610,804,673,484,064,016,842,232,249,525,610,712,535,771,
087,224,310,756,228,877,302,650,339,753,041,792,653,533,229,778,344,844,149,
671,955,487,409,463,163,743,912,295,940,030,352,716,008,196,854,919,550,085,
239,725,083,977,682,809,822,449,971,360,962,414,085,921,073,121,082,917,760,
264,820,548,184,837,418,072,012,770,787,288,246,569,960,667,321,203,957,006,
193,081,115,468,036,149,062,976,911,839,589,482,445,347,483,812,090,482,138,
849,568,997,922,965,189,470,095,161,829,552,212,799,993,016,788,047,381,770,
875,120,740,296,382,065,414,656,782,344,408,418,432,362,727,350,878,288,898,
942,466,640,075,014,470,415,260,040,594,665,120,786,983,383,789,372,016,771,
396,070,264,917,660,288,340,648,686,362,876,897,648,287,795,820,954,692,169,
124,969,861,830,407,764,136,977,917,250,567,013,250,846,415,369,329,829,846,
148,879,297,205,212,027,355,276,914,105,708,670,801,697,837,028,734,887,211,
576,376,781,832,487,141,730,406,133,684,148,541,122,472,815,347,814,733,702,
522,420,005,229,174,692,346,209,004,873,044,606,360,037,417,390,959,948,070,
687,647,563,759,982,599,017,823,622,062,898,417,805,029,944,589,809,547,809,
360,078,765,437,314,011,249,945,480,843,344,100,644,329,495,918,947,584,290,
401,527,785,649,815,062,656,616,540,222,104,398,213,440,676,650,897,413,666,
940,726,455,183,534,451,703,358,307,979,530,472,036,227,606,033,310,892,566,
090,772,977,160,270,385,933,859,379,762,698,413,494,564,482,153,155,247,669,
856,063,852,228,031,438,690,328,357,750,622,558,399,446,639,009,071,858,090,
201,915,940,321,855,153,460,316,971,935,738,034,459,167,526,103,877,858,982,
352,941,163,474,762,866,067,574,738,484,554,755,502,743,703,628,470,937,836,
743,912,732,058,411,173,195,794,216,307,283,943,070,359,717,850,664,159,264,
048,682,803,693,760,292,151,296,554,323,472,441,565,069,458,132,832,466,259,
144,482,717,844,217,387,640,431,737,884,630,904,814,548,083,980,879,489,503,
055,086,210,987,941,702,807,523,386,959,834,710,713,383,794,931,531,676,853,
420,513,626,848,354,241,543,515,161,804,304,308,229,320,324,486,493,940,284,
495,370,062,038,263,355,504,378,511,539,921,225,788,862,482,706,062,389,066,
513,778,546,094,812,208,500,161,163,967,615,880,214,493,725,184,995,375,988,
157,506,229,039,257,847,560,006,038,233,181,356,915,513,463,200,343,497,578,
922,538,667,445,283,308,017,428,086,453,505,989,308,147,399,132,038,804,274,
081,341,681,335,210,054,000,874,732,549,543,172,124,200,101,488,279,127,429,
790,543,713,494,627,976,589,910,461,606,646,077,649,493,476,063,645,087,101,
343,332,865,542,747,486,617,465,666,826,490,318,424,513,774,122,225,858,016,
085,789,875,978,822,246,389,792,125,446,239,331,328,799,807,039,812,365,417,
026,292,206,555,835,293,664,112,595,745,676,640,250,776,005,299,652,065,833,
400,384,583,322,505,896,818,306,082,408,912,494,739,574,926,843,174,326,733,
485,355,932,958,068,915,540,899,886,345,518,432,366,031,880,624,458,551,098,
448,419,567,351,016,557,420,788,636,736,212,007,418,557,498,618,258,695,497,
031,518,703,815,900,809,111,617,244,689,613,622,765,690,776,837,313,616,163,
969,302,011,848,592,402,155,234,739,176,386,959,213,713,517,537,257,038,080,
144,476,020,860,541,815,630,631,135,594,905,133,601,225,784,079,257,090,938,
313,586,538,807,343,758,597,546,521,467,813,251,447,702,220,591,896,970,884,
677,239,293,211,246,114,984,436,599,432,508,528,020,062,914,815,394,285,551,
858,743,276,264,311,289,279,673,664,826,742,945,772,030,865,774,257,932,085,
942,155,942,133,142,524,206,447,195,120,058,240,755,524,940,251,574,199,012,
742,931,530,497,910,970,986,162,106,695,996,980,393,212,222,502,365,450,576,
412,702,421,187,582,593,405,767,096,967,673,803,508,698,765,354,999,224,366,
287,196,325,931,561,684,157,323,476,405,141,258,346,765,878,139,397,213,684,
130,491,484,301,564,514,550,735,973,671,442,741,328,780,304,567,168,456,814,
078,615,188,088,554,055,212,914,931,842,099,366,316,147,101,347,578,002,960,
160,313,972,093,585,114,746,698,052,050,169,913,768,296,932,128,785,248,732,
303,863,677,156,592,944,380,340,461,371,833,994,014,908,475,078,827,662,548,
250,815,379,205,672,100,653,339,502,354,305,660,451,397,781,095,758,684,142,
881,346,309,427,767,937,573,952,803,159,461,449,983,429,605,064,046,737,609,
065,289,593,817,532,051,599,864,335,409,422,754,209,651,725,800,061,080,064,
236,962,256,460,362,325,862,171,536,759,107,361,263,534,997,461,999,833,563,
452,423,151,390,469,175,572,583,617,141,162,650,234,574,291,380,545,077,000,
611,944,391,363,953,997,585,903,956,998,989,085,752,966,031,025,109,200,912,
724,929,426,890,050,338,453,087,155,809,993,631,602,318,772,487,345,606,696,
614,190,709,788,804,780,457,452,116,600,831,755,483,025,855,950,426,383,773,
741,823,753,685,067,263,535,159,815,760,814,765,804,755,667,762,977,026,479,
597,349,905,650,429,733,491,210,708,552,880,747,717,760,001,161,130,814,129,
828,901,636,060,659,143,675,899,436,966,586,936,895,929,119,196,752,050,892,
576,927,192,080,883,932,013,233,264,492,447,183,675,627,892,296,526,351,074,
086,471,119,833,810,738,800,141,026,341,434,892,043,164,833,097,757,742,513,
416,451,688,799,177,796,718,351,209,447,351,078,000,528,061,554,273,878,350,
113,231,639,245,425,344,538,016,345,532,378,822,437,482,873,426,861,287,076,
554,878,723,749,982,574,971,588,126,779,669,676,655,990,338,309,967,464,130,
726,182,191,896,237,429,124,176,320,088,757,500,925,551,142,458,771,223,124,
047,379,825,165,200,257,908,344,001,679,553,788,068,627,866,489,443,109,042,
924,848,762,911,520,983,040,837,235,616,905,446,236,827,457,480,844,978,943,
333,058,642,439,353,399,497,116,535,211,184,885,620,892,930,086,474,661,227,
664,464,721,747,163,425,593,824,247,066,604,589,402,963,300,723,059,479,445,
629,380,378,822,393,007,491,442,164,591,227,483,849,588,671,932,711,154,834,
799,342,920,039,935,205,873,823,876,869,185,713,836,732,631,840,620,061,577,
228,165,841,386,635,626,618,503,043,568,511,371,131,378,642,013,330,984,418,
405,938,879,550,515,513,357,751,224,731,654,001,356,971,686,960,486,595,251,
542,459,157,420,549,834,607,011,669,170,352,530,425,123,519,048,748,536,707,
108,560,032,788,898,228,883,171,977,049,364,349,310,611,956,155,175,463,911,
236,906,709,269,333,845,615,235,743,122,719,681,121,289,867,595,060,635,621,
111,078,405,886,760,753,509,422,256,669,381,555,889,819,373,589,347,568,043,
816,505,515,296,496,363,304,870,892,290,811,130,737,359,781,252,455,972,549,
324,779,351,094,883,441,672,999,873,860,334,011,770,486,438,951,333,165,932,
474,803,020,283,085,490,121,626,378,747,445,294,748,273,692,988,201,134,574,
394,571,387,698,069,567,088,184,733,233,069,793,777,807,353,218,127,958,930,
851,097,917,947,171,101,055,919,316,374,840,693,137,900,684,331,093,253,502,
550,347,234,696,212,743,677,040,163,890,243,984,551,218,575,410,222,843,700,
536,470,236,893,277,200,224,587,345,004,331,872,986,880,349,875,979,141,694,
139,789,348,211,298,356,447,654,334,449,728,506,776,775,816,310,351,635,219,
496,954,907,198,942,764,669,992,349,144,599,950,876,837,460,696,393,636,296,
127,301,836,866,502,654,857,160,594,237,352,050,645,550,810,186,493,899,991,
635,208,395,834,524,934,379,032,927,085,895,910,322,516,056,266,882,762,241,
454,996,139,747,282,559,061,751,642,238,510,177,436,572,381,469,650,530,766,
648,382,470,809,718,776,959,316,586,181,834,467,917,916,406,584,106,424,996,
042,523,451,125,094,098,764,551,030,735,638,917,469,256,427,151,918,807,925,
430,540,223,506,970,983,443,231,035,931,517,077,256,838,906,056,309,234,188,
621,161,476,258,429,390,246,736,255,081,173,818,700,962,328,257,210,860,422,
230,212,032,222,874,019,717,268,806,868,580,397,960,625,936,202,223,335,846,
381,774,503,957,140,008,114,590,119,703,887,959,495,806,854,981,114,230,109,
694,526,371,702,271,693,589,847,150,568,837,171,823,123,710,130,075,093,309,
837,840,232,247,903,844,797,967,191,565,639,131,812,771,068,729,866,139,907,
806,889,418,546,198,234,839,737,799,119,398,297,761,602,916,069,307,191,294,
742,254,648,918,860,106,161,170,959,206,554,351,898,098,752,288,960,019,694,
454,709,334,951,509,180,693,826,763,452,292,546,887,182,008,920,860,277,615,
957,959,685,658,929,646,971,202,742,708,275,472,590,608,121,668,523,380,950,
126,218,111,548,998,498,180,016,283,651,581,758,583,661,083,047,094,358,935,
228,839,205,624,286,121,539,133,331,999,932,713,175,216,031,932,766,920,456,
313,498,315,131,402,421,140,289,665,465,613,212,419,269,638,475,821,125,792,
485,577,424,017,432,085,020,578,702,301,679,167,784,699,695,376,895,520,122,
913,150,481,679,920,998,886,350,432,722,574,912,002,347,124,896,098,133,385,
792,764,515,898,683,028,724,015,051,961,677,824,604,448,587,706,800,237,398,
806,441,566,786,432,409,289,018,260,929,765,595,634,067,481,936,019,280,885,
806,820,775,143,021,315,092,905,542,365,357,235,466,186,850,099,581,389,600,
570,234,594,989,766,770,042,115,166,163,918,565,620,169,981,209,577,164,398,
342,537,062,473,684,836,439,481,597,468,215,435,071,469,067,863,748,973,907,
138,239,075,079,849,300,193,040,436,346,384,215,842,602,980,190,371,107,588,
391,883,432,333,849,195,569,548,391,175,544,564,434,705,842,029,133,558,737,
135,776,661,254,026,485,725,928,847,421,942,816,460,517,167,955,621,112,700,
573,326,792,761,832,748,924,756,899,026,341,190,429,849,777,755,383,183,365,
321,563,923,361,794,014,818,083,282,874,723,930,217,779,804,896,528,459,110,
234,729,052,693,308,541,105,408,965,873,098,788,114,653,611,151,891,686,054,
534,782,147,021,705,549,166,268,354,889,403,454,619,445,385,002,296,759,736,
645,480,746,506,160,212,227,029,207,518,326,113,183,164,130,986,193,290,446,
911,524,093,639,186,960,078,916,599,050,185,277,479,130,030,502,256,953,817,
876,586,485,511,232,953,343,776,283,111,421,842,727,162,517,749,298,651,940,
729,347,379,295,452,537,026,493,321,779,374,067,120,406,827,554,334,863,072,
707,670,172,838,849,594,723,836,546,146,549,093,313,828,915,347,913,774,526,
104,928,921,105,296,657,172,845,806,652,118,407,208,784,837,693,948,806,226,
558,629,242,908,856,175,322,295,913,180,313,239,668,033,257,204,492,316,772,
041,289,665,930,865,504,245,060,640,296,679,987,922,405,978,638,043,924,500,
033,393,905,122,038,243,630,716,068,979,912,933,923,460,103,069,847,522,157,
846,433,404,274,718,096,798,410,830,544,670,241,732,992,206,696,748,466,888,
990,969,775,127,606,269,528,721,699,031,633,875,063,269,285,867,784,357,791,
142,755,066,498,090,943,626,969,315,599,455,032,198,868,494,103,644,948,870,
904,558,935,083,750,675,647,665,381,046,864,720,397,727,797,745,272,932,152,
729,529,961,728,192,065,977,707,657,739,396,928,726,497,383,570,393,365,886,
783,815,830,285,555,033,256,262,298,984,066,215,619,521,925,176,638,965,672,
575,450,908,352,898,219,585,567,382,691,208,430,037,149,247,651,443,922,956,
361,797,774,572,071,755,879,685,230,436,030,848,840,528,474,950,876,548,063,
088,078,951,169,864,828,355,941,965,859,753,670,712,255,739,269,746,012,993,
671,508,824,913,610,450,807,690,082,626,060,753,072,847,665,649,312,932,061,
511,559,122,046,758,830,464,245,937,725,835,035,027,573,570,549,478,339,297,
899,805,139,369,821,342,432,652,736,183,430,599,531,037,303,704,403,893,787,
131,444,333,070,527,772,246,403,151,303,193,023,670,917,575,888,810,397,487,
600,463,156,184,420,933,648,338,097,825,286,311,474,592,280,363,971,473,132,
923,879,165,005,214,891,195,732,150,608,387,181,184,532,751,275,621,450,575,
700,099,982,911,776,626,053,268,242,825,383,696,621,722,892,542,959,609,158,
937,648,316,038,186,271,519,032,979,947,339,303,727,436,736,635,096,359,810,
694,210,520,580,849,714,551,629,929,250,469,560,868,949,032,681,216,870,002,
783,894,518,255,897,999,660,910,492,522,406,287,935,248,058,032,339,656,238,
419,661,180,049,936,146,190,111,113,595,205,848,461,795,040,277,791,744,727,
304,353,945,753,795,474,441,626,296,895,756,966,885,302,813,772,989,959,076,
083,541,531,593,544,632,738,741,190,854,948,652,049,385,183,828,373,437,975,
891,866,704,371,034,956,648,845,989,482,699,992,756,683,810,779,027,802,577,
054,599,786,198,963,727,640,242,798,644,477,723,211,964,489,287,156,406,995,
950,565,145,212,296,404,283,758,842,044,509,235,485,875,610,552,346,322,879,
870,265,484,699,117,332,179,806,807,440,785,257,459,881,945,957,579,855,085,
352,273,990,675,378,209,500,805,695,463,535,470,744,979,014,452,321,817,716,
171,714,127,407,255,888,409,359,933,752,832,589,408,841,139,365,696,765,866,
202,108,831,113,446,407,724,233,637,111,703,880,476,321,265,424,196,865,316,
130,596,711,101,554,781,564,291,962,665,598,749,700,198,007,333,845,685,091,
636,075,336,699,048,828,649,845,589,579,800,254,018,073,595,282,763,598,995,
268,885,215,019,100,873,410,098,438,942,608,114,770,808,154,706,918,063,571,
411,227,065,202,612,287,487,639,067,077,484,275,212,395,197,652,797,390,388,
124,136,490,066,375,776,748,188,237,334,967,697,451,539,408,348,088,557,948,
116,010,755,348,330,199,686,885,948,562,936,977,551,813,580,292,288,697,638,
444,104,550,967,866,605,701,739,772,411,196,628,266,985,654,172,865,802,781,
461,102,451,132,823,929,188,133,616,667,297,625,490,256,923,670,768,027,843,
283,233,970,666,152,552,758,861,555,636,477,555,540,486,968,513,335,713,404,
353,194,363,785,214,693,901,975,492,105,827,570,773,279,093,223,885,739,454,
328,917,318,354,479,490,537,154,327,701,581,773,971,555,629,146,712,942,303,
699,778,719,658,231,113,781,239,236,260,362,574,516,913,387,478,794,544,355,
680,301,591,444,954,342,788,608,823,748,073,088,121,161,846,197,425,283,110,
894,906,572,217,311,391,705,790,636,849,495,353,640,016,313,360,880,383,177,
180,391,957,360,065,993,395,969,778,746,104,857,322,050,164,587,328,473,124,
348,072,744,944,940,059,172,398,763,644,121,900,459,654,435,854,596,900,851,
654,834,280,353,009,281,874,791,642,628,322,526,908,095,903,157,286,447,894,
362,810,274,677,283,544,997,509,660,566,044,063,597,651,213,675,321,133,012,
896,777,456,120,261,798,626,083,457,139,071,064,492,361,285,937,610,184,304,
270,758,146,683,017,731,836,727,019,633,654,013,845,904,380,161,059,720,899,
575,597,757,682,916,379,596,085,085,964,659,018,092,171,062,561,110,875,837,
719,989,379,243,341,394,782,712,055,915,131,896,040,868,750,102,328,419,727,
797,104,750,235,225,974,137,493,725,297,252,297,304,346,792,254,835,331,518,
759,853,830,141,826,372,877,706,105,852,260,223,940,357,445,563,090,428,739,
665,906,018,117,802,119,135,706,331,897,947,141,689,866,716,585,182,886,367,
387,523,617,125,689,554,784,088,774,944,374,563,229,671,670,221,844,048,106,
632,245,964,180,758,634,771,414,451,587,148,418,069,828,938,451,045,375,450,
147,321,783,391,579,221,221,533,850,155,185,631,180,211,914,358,364,542,806,
500,616,215,573,745,876,186,391,811,448,190,388,692,827,944,096,983,504,633,
064,628,001,965,944,849,296,322,875,846,306,141,271,762,345,562,763,858,256,
231,057,455,147,580,120,299,066,693,567,498,889,169,017,608,842,408,859,044,
799,017,491,330,392,705,100,887,383,051,737,740,929,861,432,164,540,218,795,
120,541,540,424,356,900,126,856,089,425,081,182,273,379,445,411,804,045,912,
223,761,132,373,053,484,188,850,589,255,095,478,301,885,282,838,491,256,485,
858,956,373,616,184,457,762,469,614,080,794,054,763,326,203,211,631,178,489,
011,063,263,998,384,128,150,970,100,389,592,306,662,519,206,414,441,076,421,
456,429,035,321,664,376,647,630,246,780,061,492,606,934,138,145,717,028,972,
368,455,587,835,822,193,276,341,187,263,409,726,673,998,933,178,171,399,131,
364,955,218,244,796,186,106,111,575,766,605,146,652,454,647,872,674,702,913,
281,137,437,973,525,215,509,220,926,038,365,178,991,335,068,239,778,273,279,
468,372,578,428,614,522,132,514,406,386,415,327,209,316,973,964,324,633,355,
749,100,995,086,031,811,733,913,533,307,029,536,575,565,978,676,228,038,404,
067,217,229,556,648,532,184,996,674,758,691,438,465,980,944,487,548,199,482,
360,854,328,836,050,254,289,814,994,204,075,267,708,614,980,548,528,032,028,
894,056,263,097,876,648,393,652,977,575,064,817,423,739,098,046,145,260,123,
317,362,977,388,288,260,949,230,735,478,621,430,704,612,856,959,114,712,780,
820,089,051,053,095,774,842,464,544,542,697,623,271,898,744,355,608,671,971,
161,562,999,083,319,397,044,215,656,494,831,416,497,228,217,200,577,991,104,
673,274,242,914,949,617,552,905,430,523,627,124,235,137,595,257,204,166,702,
470,020,627,220,815,277,580,373,595,974,675,721,805,497,718,937,009,134,478,
792,188,126,248,257,024,471,509,681,074,628,110,761,660,534,008,395,256,991,
471,317,500,088,090,333,512,709,151,004,470,954,401,285,506,731,452,377,220,
562,352,093,823,999,508,117,382,568,169,552,899,131,801,987,015,098,563,963,
891,578,547,898,169,327,794,657,402,585,974,321,738,871,483,256,474,251,474,
076,229,523,554,641,845,015,403,646,236,063,608,084,339,314,398,373,554,338,
124,040,449,359,282,887,978,390,680,390,914,264,815,441,475,922,535,700,688,
340,985,997,088,195,551,125,566,738,891,079,603,922,004,257,814,732,925,300,
368,134,331,875,099,328,654,478,871,443,337,187,860,844,106,972,566,078,109,
355,067,826,897,667,061,301,188,539,875,941,177,954,716,521,320,251,540,828,
589,145,468,800,852,709,899,030,493,975,824,638,931,905,391,094,634,433,545,
393,726,124,296,350,017,984,128,658,721,079,904,511,070,297,833,259,470,845,
052,079,825,781,289,090,067,244,638,403,873,398,039,496,342,263,233,462,939,
374,828,221,415,158,810,274,564,849,028,726,967,367,855,543,625,325,933,190,
800,745,859,459,195,741,425,359,710,796,533,858,543,672,078,487,478,603,804,
864,001,243,289,859,593,486,315,110,280,171,377,588,438,524,985,793,367,496,
250,733,542,998,536,186,607,542,114,555,166,819,545,788,320,815,611,009,124,
325,398,703,349,145,760,640,131,376,826,869,799,666,615,229,426,033,050,526,
067,370,071,926,237,813,486,340,567,078,342,398,808,568,821,344,031,870,203,
237,972,366,245,014,770,484,610,731,648,908,856,951,656,501,203,252,140,005,
201,148,995,955,634,744,653,915,783,678,675,187,737,165,074,082,068,591,655,
209,881,832,246,364,360,755,551,824,892,200,686,436,688,014,476,085,937,483,
758,374,716,664,237,808,819,729,667,955,707,529,739,880,030,695,445,507,009,
857,298,626,064,635,151,394,733,001,201,746,045,195,517,773,134,350,852,936,
279,863,371,966,178,158,780,247,346,634,675,783,844,508,464,120,500,765,846,
662,071,598,366,434,097,185,715,961,057,638,336,742,962,739,306,175,298,002,
078,100,934,504,249,030,881,648,514,144,295,048,433,325,410,551,431,452,960,
831,529,540,086,145,314,821,830,893,942,151,879,371,632,520,450,700,927,302,
305,489,090,610,447,932,144,917,868,498,678,249,955,194,942,045,143,729,416,
741,355,856,259,573,431,083,772,305,325,924,504,989,377,098,570,625,532,534,
422,497,401,651,272,260,484,760,419,043,068,289,046,454,330,343,829,766,835,
869,563,595,503,963,167,035,929,001,484,287,182,055,772,054,604,190,790,168,
367,060,322,450,334,857,049,623,514,087,117,421,693,624,264,743,245,517,128,
989,496,722,873,586,787,810,996,961,974,104,428,556,939,002,087,613,418,824,
336,685,315,951,462,297,878,894,873,250,682,331,829,013,741,367,381,749,747,
349,186,534,630,199,045,941,981,834,552,207,977,895,507,190,809,033,571,368,
813,075,463,160,157,296,688,490,726,494,534,829,046,354,131,892,778,723,870,
475,381,979,933,011,381,509,435,618,438,843,693,996,430,321,270,572,692,986,
499,716,461,698,296,167,493,771,705,739,534,602,465,583,538,820,208,609,111,
997,566,342,342,963,892,090,505,683,238,410,759,322,786,599,206,033,295,039,
028,251,610,891,262,366,240,767,884,347,892,391,795,639,417,944,658,362,579,
089,800,929,535,972,719,412,644,640,070,246,216,951,808,511,912,844,180,787,
173,515,535,626,966,650,782,521,692,103,621,702,277,171,377,837,306,417,195,
503,687,944,071,982,350,804,911,574,338,057,858,045,718,526,510,876,724,420,
265,024,788,664,995,326,442,705,315,389,512,091,785,227,488,130,472,858,416,
734,817,686,322,669,604,354,022,750,544,067,387,784,123,159,772,108,527,715,
963,565,649,978,969,414,694,921,142,509,592,828,798,108,345,690,842,570,486,
791,474,894,443,441,335,695,488,260,395,770,813,513,297,892,550,137,678,325,
672,810,166,862,923,909,718,968,410,419,313,654,518,388,273,666,790,742,572,
859,441,819,808,731,071,960,538,719,709,828,738,258,454,822,352,281,126,347,
508,838,873,904,916,156,714,596,047,326,962,332,440,241,591,690,117,110,124,
411,460,846,656,937,575,322,869,910,471,542,687,830,816,596,747,938,799,229,
879,209,436,176,895,045,943,069,916,279,092,690,194,025,645,621,769,025,831,
581,214,400,202,098,256,487,307,582,057,051,180,321,716,242,699,551,390,509,
659,805,497,123,029,595,644,288,646,703,645,702,965,367,730,556,477,885,310,
355,570,729,811,823,776,659,649,961,748,865,405,008,418,464,719,621,877,248,
195,448,598,227,988,365,913,962,665,361,659,651,972,265,976,591,647,221,159,
943,853,162,783,663,877,111,342,923,222,897,951,398,657,982,077,203,289,444,
877,464,132,018,274,018,934,817,891,152,350,483,774,238,470,637,309,143,652,
400,208,227,962,567,989,158,181,936,710,894,953,033,406,512,378,655,251,877,
717,830,065,984,725,878,451,233,376,255,655,380,237,938,043,250,326,661,870,
688,708,804,329,389,843,338,441,752,540,473,108,707,557,737,114,285,294,409,
410,396,398,486,870,198,122,619,323,707,863,822,560,850,783,916,832,278,667,
410,764,162,194,552,579,034,172,927,664,260,374,883,614,574,386,035,362,212,
502,451,123,916,711,259,796,416,207,268,848,104,382,994,696,306,508,974,965,
539,258,059,480,020,866,545,439,208,870,388,709,687,818,066,888,094,326,588,
013,655,474,423,881,239,830,368,064,764,199,893,024,224,435,684,768,667,022,
519,499,817,426,286,653,872,177,933,426,704,677,594,121,055,620,105,948,433,
068,017,126,574,754,454,794,686,999,171,951,733,084,494,067,645,564,554,404,
160,020,017,915,054,726,653,392,649,980,583,273,964,068,911,299,859,132,976,
971,145,046,704,926,569,233,192,698,959,971,021,729,440,383,114,788,310,798,
286,234,142,986,497,221,896,009,800,470,110,697,355,114,479,714,493,138,848,
057,670,969,118,189,017,336,196,728,060,501,262,212,240,193,292,753,114,341,
177,967,213,794,628,543,847,813,078,692,733,957,386,822,747,277,444,071,462,
755,698,193,678,645,868,724,451,453,496,305,683,347,366,098,815,026,373,438,
653,462,351,315,027,738,749,949,841,845,834,476,100,661,826,182,674,219,587,
871,806,019,928,772,991,435,589,870,296,862,645,067,025,696,011,742,341,359,
597,090,713,660,475,554,053,239,446,369,360,829,924,155,279,035,219,910,774,
519,224,947,561,551,468,387,428,015,621,397,466,513,237,824,288,086,369,930,
203,759,661,839,351,259,051,278,984,200,245,007,847,133,549,432,130,357,818,
528,621,541,810,744,489,236,127,564,222,354,192,257,704,559,780,323,978,111,
737,469,928,929,789,536,476,782,746,292,482,330,404,421,644,134,012,150,967,
254,327,766,546,205,010,792,427,116,776,418,395,304,942,382,715,298,042,646,
335,403,792,099,213,435,165,150,975,538,407,233,785,397,395,097,386,539,709,
501,516,141,545,459,009,396,670,840,875,491,841,313,390,924,018,385,071,644,
289,538,424,007,337,359,777,303,177,796,991,591,869,435,656,445,704,637,121,
472,761,670,601,160,067,649,388,499,809,895,795,638,130,482,468,946,235,949,
818,604,078,973,128,213,238,600,049,892,423,505,222,523,480,291,888,681,227,
614,524,715,281,625,334,633,488,629,017,957,758,801,036,442,950,720,897,828,
290,237,433,523,934,343,332,314,580,208,562,816,661,122,986,071,285,921,666,
380,505,142,263,080,546,700,819,746,503,774,033,522,403,161,147,540,551,112,
331,636,201,749,033,020,348,287,626,360,880,386,293,336,323,190,070,140,175,
678,348,521,602,978,300,386,767,989,738,595,552,664,377,438,091,375,894,749,
140,441,141,807,975,100,871,963,261,234,258,167,549,483,122,874,834,144,521,
709,100,225,594,746,775,516,141,281,042,444,107,196,949,081,931,766,592,172,
810,684,134,370,235,750,300,979,856,350,588,421,707,384,954,118,784,594,598,
782,180,750,817,590,668,975,854,333,816,843,330,785,335,116,570,430,252,510,
180,698,360,115,113,123,134,824,092,184,023,942,373,031,974,587,235,695,777,
541,767,618,940,810,938,924,065,999,547,376,196,471,447,914,595,753,883,484,
920,192,995,337,359,409,729,108,266,172,081,661,963,144,714,936,124,646,499,
586,567,716,965,392,375,407,604,058,814,818,253,060,417,346,002,342,077,618,
998,177,757,914,305,488,037,098,204,209,499,354,460,897,184,033,975,476,887,
310,056,882,021,435,068,127,716,590,513,329,826,460,760,851,189,957,678,974,
226,508,737,692,330,783,849,259,445,374,997,077,035,312,676,335,102,055,046,
051,282,325,265,392,445,256,096,877,308,732,248,857,539,126,465,582,642,868,
236,715,862,153,391,406,036,888,848,836,254,041,068,837,650,748,944,766,772,
347,431,933,217,338,066,240,199,618,049,947,068,614,191,154,257,228,896,110,
191,069,678,865,174,607,150,181,145,167,940,312,519,741,007,085,260,852,007,
823,383,617,488,575,325,118,547,656,329,549,151,006,732,062,675,030,915,834,
350,123,800,438,145,610,759,255,506,350,077,088,227,974,073,458,672,235,366,
640,226,471,707,258,192,425,531,486,090,600,042,576,581,983,136,869,617,575,
070,068,956,605,309,235,552,542,559,053,948,200,707,765,460,991,508,215,395,
732,802,926,171,227,781,561,431,945,428,394,259,448,200,806,245,944,513,983,
205,071,841,742,339,958,757,163,892,920,516,518,341,498,339,562,864,212,386,
721,236,195,558,667,232,292,423,118,625,749,852,529,090,232,827,589,888,331,
259,287,171,322,589,078,435,869,660,442,657,302,960,085,897,004,052,047,215,
859,696,932,377,469,774,639,081,668,080,084,272,711,743,783,472,584,818,942,
282,131,704,234,742,443,157,711,186,203,763,503,743,978,626,912,292,319,004,
246,921,601,684,402,961,288,455,850,453,289,755,651,853,953,023,204,145,337,
807,010,278,580,402,296,380,239,626,082,767,236,978,307,755,588,112,385,831,
310,594,062,476,003,948,403,154,852,192,837,155,770,873,431,533,089,191,702,
505,594,885,222,959,932,824,130,353,441,116,251,189,121,863,550,597,979,184,
384,463,754,974,559,443,285,486,537,721,985,910,891,918,106,296,461,666,101,
267,643,414,465,194,690,417,681,191,049,080,037,781,241,009,404,000,702,244,
601,663,289,928,188,124,124,943,643,880,733,614,541,143,344,706,585,952,545,
115,872,112,406,982,190,488,739,096,663,709,913,108,597,226,540,902,912,024,
866,491,919,142,969,348,514,921,067,888,365,462,063,388,815,913,192,837,002,
982,010,428,953,921,667,672,286,713,709,187,282,845,436,755,566,731,800,471,
617,355,015,950,717,121,933,480,012,724,300,696,014,726,741,737,832,586,789,
695,900,594,851,691,490,439,664,260,808,285,976,779,381,044,047,930,284,733,
308,189,957,341,026,797,049,101,758,624,972,539,060,542,964,632,804,650,866,
471,891,451,613,689,609,388,500,978,108,352,927,381,415,836,045,651,834,639,
978,442,881,771,024,382,663,028,233,296,761,091,677,547,463,988,531,978,188,
600,734,973,143,943,300,773,900,196,661,756,451,235,085,663,649,090,020,153,
517,001,597,177,867,118,564,323,111,064,219,667,389,558,540,056,526,035,815,
538,945,083,272,912,850,371,885,459,744,935,673,244,687,560,494,228,288,995,
241,763,268,639,787,655,858,546,923,504,880,777,192,994,458,616,206,036,416,
736,833,235,526,021,175,029,147,517,704,191,968,256,551,767,811,234,129,768,
655,026,690,808,177,579,757,948,036,801,260,532,334,160,191,048,972,858,236,
474,520,779,425,762,696,520,720,052,377,308,578,864,635,881,482,890,470,111,
702,161,212,264,402,876,170,506,209,218,867,163,968,265,808,251,705,760,400,
982,094,896,333,018,847,436,825,587,392,090,600,963,551,685,189,881,453,457,
251,879,148,538,286,393,383,742,492,947,759,305,950,293,001,546,804,846,173,
788,568,679,951,965,215,005,415,691,774,249,648,513,061,464,742,836,185,554,
490,688,021,843,608,876,996,078,972,792,183,089,900,806,377,939,947,215,603,
513,862,253,327,417,143,428,534,013,594,801,654,490,956,318,250,978,677,644,
940,444,799,409,191,700,808,083,072,860,897,910,939,971,197,367,509,611,436,
113,151,603,411,083,629,929,233,079,093,978,029,559,119,899,846,998,477,863,
694,739,717,364,204,687,224,092,662,944,228,510,299,329,404,191,506,033,099,
330,049,368,319,232,658,107,974,716,311,239,437,187,321,659,778,379,226,366,
672,981,530,061,873,212,422,120,811,590,640,427,401,196,629,365,224,110,389,
750,766,511,152,260,980,511,352,749,013,833,514,552,937,693,254,708,899,059,
128,940,634,143,919,717,804,490,701,957,988,016,372,097,196,152,846,232,495,
563,213,622,060,937,986,040,628,000,580,955,975,190,303,086,412,039,617,528,
638,870,100,519,501,580,211,109,570,218,057,014,582,212,442,450,298,434,830,
769,664,062,398,664,358,619,301,429,065,583,101,639,297,548,261,212,658,041,
023,327,521,738,183,261,256,100,185,206,611,826,739,350,481,240,030,980,982,
703,589,820,644,800,469,980,279,343,338,500,569,740,479,617,838,628,378,793,
093,072,775,091,427,407,799,182,964,829,792,882,338,365,974,353,826,291,319,
373,070,813,998,401,418,458,017,378,400,959,385,656,738,181,864,759,831,002,
344,820,037,550,893,672,724,503,325,885,116,975,706,284,196,544,886,270,071,
255,486,179,167,312,641,897,495,791,444,358,674,514,267,306,750,685,231,747,
699,350,255,947,292,690,138,752,935,379,188,221,010,471,991,438,707,985,401,
791,054,093,507,982,701,591,357,312,524,283,817,945,803,904,302,357,983,042,
527,964,807,236,704,055,690,171,082,338,740,450,443,331,692,736,254,568,879,
284,583,005,989,768,352,762,004,233,252,219,506,103,226,715,653,415,286,940,
625,171,331,675,703,907,736,257,267,699,500,808,525,912,264,305,862,411,346,
202,897,495,982,945,895,496,697,968,964,136,791,823,530,801,366,366,673,229,
513,438,199,413,044,754,513,790,330,702,952,111,649,908,543,866,189,567,652,
593,839,446,921,229,231,003,225,528,472,239,585,386,601,315,499,434,062,116,
396,900,738,593,098,306,866,518,907,501,068,369,414,545,547,876,492,837,458,
415,831,237,881,929,402,081,002,326,516,952,531,008,932,282,403,921,726,117,
096,470,322,710,320,577,077,327,276,598,611,787,761,635,384,147,823,587,419,
495,044,362,502,124,353,015,261,777,736,094,029,570,044,527,348,241,303,385,
076,556,759,224,233,901,928,983,628,111,183,892,167,410,936,516,829,582,138,
620,645,763,624,695,287,661,970,614,274,443,386,593,866,783,997,176,020,533,
348,947,834,759,954,644,148,637,318,389,848,199,030,339,314,673,095,858,058,
848,464,599,960,835,229,231,575,759,726,037,011,455,681,671,219,670,728,686,
349,731,841,043,358,003,141,431,810,882,947,590,138,056,579,959,019,308,017,
141,438,851,688,280,845,388,601,940,119,058,857,852,012,838,939,228,545,069,
106,429,057,231,426,258,215,764,685,959,362,681,997,843,401,780,225,243,684,
398,146,470,562,159,995,863,921,036,574,036,038,737,380,352,911,158,360,475,
652,825,598,904,469,590,616,739,277,122,869,731,672,872,722,411,835,559,193,
365,990,115,863,346,541,918,739,734,908,943,591,999,575,077,693,311,051,493,
965,867,609,286,887,992,882,207,563,342,861,777,397,525,010,528,716,393,813,
836,892,010,193,971,984,634,437,359,759,401,944,876,203,469,325,333,379,340,
953,639,314,042,046,100,043,173,702,066,630,671,322,395,270,699,254,104,286,
572,046,225,664,511,355,386,815,310,368,571,585,791,202,891,666,867,798,584,
974,798,313,057,177,950,724,097,555,305,793,621,933,792,317,527,143,741,071,
841,735,347,944,200,170,974,536,598,424,013,520,982,207,574,630,455,925,865,
603,110,227,298,913,958,873,095,078,734,245,243,638,185,124,450,597,694,841,
300,247,277,040,125,599,206,215,213,818,130,287,393,024,082,663,623,554,979,
797,806,332,786,890,654,820,298,421,680,435,158,732,802,019,729,521,563,280,
663,681,558,316,591,308,951,346,488,811,866,940,407,268,962,642,550,778,241,
157,434,674,109,862,058,512,852,781,938,982,537,445,959,877,833,895,997,394,
234,112,128,443,063,612,848,561,004,872,413,695,771,441,660,689,980,737,598,
725,357,904,008,131,134,389,186,924,863,163,482,798,129,719,481,234,521,278,
573,386,668,062,882,616,142,569,596,555,876,132,754,366,032,733,764,419,392,
774,707,530,274,897,170,777,355,220,898,600,591,277,320,101,005,789,926,351,
112,900,214,657,180,870,139,613,995,467,793,988,747,048,406,717,851,459,887,
884,587,926,603,400,399,993,740,483,646,846,610,694,789,794,447,385,200,116,
323,657,168,919,494,259,164,922,634,382,119,988,495,800,498,847,418,237,406,
303,647,270,015,948,061,380,690,847,429,091,585,362,299,975,254,917,588,087,
236,914,228,347,415,116,384,660,129,956,628,122,290,094,587,605,593,846,459,
656,855,256,575,103,966,290,634,376,642,207,736,207,232,556,533,153,164,621,
732,573,835,574,651,516,356,726,179,534,793,282,325,423,477,522,387,934,637,
222,584,193,948,878,503,627,401,112,229,426,352,837,520,152,059,288,558,027,
128,176,582,091,731,763,180,239,740,476,254,615,277,181,380,920,147,953,846,
886,806,882,797,705,505,135,109,465,381,180,658,770,743,700,579,340,142,282,
506,008,148,013,537,922,827,992,864,746,282,662,198,459,612,966,916,635,692,
694,345,146,163,390,126,298,479,170,143,229,003,213,410,224,360,357,808,592,
468,227,184,114,178,242,989,535,921,652,425,707,249,729,284,979,426,966,257,
727,683,490,804,008,254,364,237,979,603,849,599,774,779,098,919,513,290,816,
983,189,010,753,228,572,082,307,120,732,589,592,076,327,008,013,283,523,134,
310,754,279,233,229,133,854,368,211,296,174,674,909,626,576,962,468,868,773,
866,528,162,291,907,127,787,457,999,767,087,111,460,432,125,684,590,879,255,
117,207,573,441,605,297,805,000,868,960,860,423,902,303,149,474,633,783,614,
559,134,640,021,843,137,022,743,276,242,522,822,752,429,177,646,579,063,918,
058,117,081,206,216,406,657,811,195,051,892,583,666,481,648,502,801,829,259,
025,577,224,128,522,226,229,727,388,488,834,982,305,668,197,867,031,699,601,
065,077,024,040,976,311,313,008,393,357,441,803,439,741,055,660,904,958,013,
072,402,985,260,498,383,004,331,849,375,642,191,473,934,532,149,481,520,981,
550,536,863,110,434,972,454,986,055,694,809,115,720,228,690,410,443,482,635,
633,510,400,959,425,926,250,172,749,597,008,046,830,633,180,321,911,962,146,
365,441,339,249,903,238,841,263,935,411,599,016,294,246,003,327,961,570,367,
196,623,662,026,235,893,301,201,160,010,987,701,446,448,565,980,762,812,099,
298,678,799,841,086,746,190,360,239,031,067,337,112,311,553,710,772,986,199,
380,467,132,743,695,355,504,489,834,600,625,881,809,425,947,371,832,020,135,
714,850,006,332,461,250,257,597,542,930,804,441,812,786,811,331,501,114,787,
305,899,969,996,210,113,281,473,227,312,257,869,057,105,594,236,808,993,762,
218,474,980,426,314,002,630,742,327,457,127,936,858,400,184,991,686,893,879,
658,894,288,046,531,190,732,727,157,512,894,073,027,524,489,182,763,509,142,
170,912,545,415,815,491,394,647,344,484,864,078,224,930,473,036,424,281,108,
899,495,970,195,227,021,143,146,688,746,838,739,231,074,318,685,477,217,841,
875,310,312,278,089,684,447,016,787,405,368,618,224,113,302,809,767,246,742,
114,469,900,741,688,006,941,141,440,002,922,507,836,391,398,703,336,749,511,
439,209,159,618,114,253,784,286,466,968,950,597,108,964,882,911,685,339,552,
801,207,281,845,438,737,708,588,553,224,424,649,556,641,242,397,978,528,594,
414,803,397,541,341,979,023,450,996,285,936,242,122,988,281,845,311,895,854,
179,850,794,965,169,133,932,399,273,961,709,212,878,217,894,294,925,761,532,
258,293,027,009,043,856,810,205,643,899,864,621,300,516,207,398,224,491,417,
836,433,205,972,382,000,935,528,479,659,994,994,098,797,430,971,730,244,685,
216,166,874,502,063,677,440,098,059,009,351,244,923,952,191,620,866,689,198,
338,390,273,433,601,749,215,521,699,764,343,756,076,315,597,315,912,535,056,
411,025,358,799,262,513,843,278,831,249,741,974,071,779,235,760,000,510,788,
254,185,468,708,253,981,499,838,434,174,201,077,816,615,107,462,536,484,972,
092,000,354,234,422,295,541,333,442,453,968,363,680,235,400,482,750,845,837,
066,440,121,019,834,850,395,169,206,397,857,999,186,477,667,991,962,007,250,
420,946,951,646,856,674,309,503,592,504,927,110,425,339,544,561,076,405,174,
554,661,369,569,700,314,369,416,589,083,091,142,169,101,089,408,715,960,602,
647,670,850,118,102,339,484,386,542,981,244,566,853,768,687,588,460,129,001,
020,907,284,556,033,195,918,755,292,572,157,141,519,687,385,934,837,601,569,
114,960,365,367,816,679,162,107,715,526,339,551,509,102,261,025,423,621,985,
414,075,411,011,564,665,336,313,351,142,345,351,716,134,418,346,197,420,419,
282,473,140,910,868,397,830,734,201,055,313,997,561,442,577,672,026,908,865,
141,718,817,035,399,547,822,420,020,901,543,933,561,634,252,871,211,287,789,
067,984,495,885,473,325,686,712,625,982,740,186,476,747,681,300,664,603,374,
274,471,271,376,587,393,914,050,570,942,422,146,021,978,749,237,403,971,383,
767,582,391,378,669,650,888,881,910,116,865,259,371,538,365,753,833,913,326,
484,298,156,674,674,373,524,801,298,641,555,504,251,178,994,213,055,495,734,
842,363,432,956,988,593,328,416,812,634,507,531,615,662,570,662,038,620,196,
411,354,533,004,412,138,456,007,277,658,164,787,747,578,929,482,373,485,276,
470,168,201,784,904,334,314,375,582,822,725,206,531,257,298,234,733,397,926,
849,208,873,112,970,524,750,467,850,902,135,613,063,442,435,970,624,604,782,
277,203,888,258,519,598,506,754,222,847,017,691,962,443,367,757,595,988,112,
841,627,158,261,310,526,221,512,009,177,705,761,562,023,348,251,548,451,137,
812,697,251,069,798,393,930,386,180,462,205,269,039,301,879,767,662,884,265,
718,707,094,055,933,214,033,113,330,804,718,812,664,566,856,948,846,079,103,
951,508,958,565,648,642,674,448,856,010,515,617,310,452,103,404,598,483,833,
792,475,016,752,365,052,883,211,244,673,422,165,968,374,936,074,201,005,383,
907,252,959,501,899,637,518,551,735,328,528,227,401,917,695,172,100,610,804,
552,839,123,249,537,190,866,730,038,673,701,892,904,214,571,488,248,023,701,
585,589,432,156,739,981,529,804,988,484,724,352,840,740,256,426,856,343,156,
181,705,999,912,950,607,511,771,811,880,120,605,097,495,001,930,024,818,935,
244,323,238,208,452,420,174,393,076,512,497,574,369,912,400,001,400,853,141,
199,223,306,004,077,956,772,071,806,826,448,367,391,603,616,457,789,610,288,
599,416,784,522,142,593,886,950,449,500,392,374,927,295,394,586,817,842,514,
218,085,299,355,703,243,438,832,074,650,437,885,802,586,872,137,862,162,674,
838,547,604,964,112,703,936,000,486,688,702,331,307,308,772,414,212,416,403,
002,344,580,895,940,954,598,929,271,571,644,429,320,333,148,274,835,154,591,
098,874,609,282,672,812,350,962,034,309,810,291,188,469,633,045,281,064,982,
599,689,908,596,009,035,808,540,552,097,523,538,435,199,666,256,270,610,238,
681,268,628,252,142,860,945,496,594,557,962,173,286,072,213,310,723,083,243,
763,528,636,140,858,234,295,906,752,437,192,133,484,511,039,785,119,892,027,
356,278,954,309,666,968,464,955,569,723,627,526,808,642,788,622,029,158,991,
154,307,167,850,255,318,020,994,376,161,236,079,011,952,486,333,932,370,287,
424,675,602,706,035,730,383,713,975,223,183,894,171,452,000,125,252,351,325,
249,914,744,475,650,442,805,512,301,800,444,900,422,578,736,488,064,099,306,
948,281,336,798,425,111,062,040,483,333,850,955,315,433,527,182,504,949,885,
181,875,847,653,753,973,178,260,437,168,454,303,329,996,193,376,170,251,457,
805,767,141,700,140,812,691,563,138,315,205,252,712,419,308,597,169,818,602,
711,785,685,959,081,864,102,604,320,333,335,522,009,017,155,104,418,148,685,
626,260,006,591,358,827,443,092,476,947,495,237,469,093,205,786,715,893,731,
717,502,383,124,267,807,131,975,233,259,497,107,139,773,513,034,083,011,242,
453,186,958,865,412,681,658,790,250,496,855,232,801,782,729,986,757,332,844,
063,931,614,649,843,586,564,552,803,150,792,386,962,907,025,966,110,536,324,
456,475,850,414,280,817,411,948,673,492,849,108,935,567,269,182,416,051,120,
885,687,742,053,987,903,780,359,192,078,519,043,973,360,619,895,854,200,380,
281,136,749,594,971,808,382,072,398,812,970,793,084,269,464,680,391,928,482,
465,467,639,265,193,812,337,658,605,742,880,271,237,119,283,237,752,545,692,
619,594,001,710,606,154,769,031,445,783,841,058,737,394,769,432,787,445,618,
078,759,722,597,661,464,719,492,027,289,563,923,609,568,685,725,714,323,809,
874,183,407,512,637,364,024,074,731,407,980,199,224,763,223,680,824,136,004,
847,056,021,924,618,596,616,288,347,260,373,063,574,260,185,264,336,769,169,
969,320,437,404,921,323,215,046,975,751,655,649,690,691,489,246,725,529,621,
283,486,134,629,730,772,426,311,645,702,056,372,475,916,746,887,275,153,006,
846,145,859,196,325,163,446,630,255,278,804,744,225,493,404,860,096,497,141,
918,967,173,284,101,948,141,664,181,643,167,542,772,276,309,966,946,585,066,
056,512,360,465,640,648,197,233,578,870,171,797,584,323,922,381,578,084,301,
960,199,263,525,315,936,114,287,791,845,949,405,395,886,003,729,828,630,880,
788,507,443,650,378,505,350,945,939,605,940,196,638,335,656,610,942,660,802,
045,303,242,522,746,748,025,669,078,919,470,604,360,819,827,701,958,215,432,
562,627,927,468,222,623,744,926,190,923,760,563,544,640,859,173,893,446,441,
625,236,286,896,423,822,742,874,152,056,249,803,211,189,958,267,218,646,843,
338,497,495,229,184,296,764,305,280,602,901,314,734,540,817,989,197,427,648,
380,512,516,624,448,406,621,916,144,935,816,681,181,236,075,642,640,827,891,
349,730,710,917,616,494,414,077,909,198,826,302,827,252,150,099,831,111,731,
913,101,524,581,579,039,335,337,688,581,390,985,522,474,292,244,422,417,724,
700,072,653,192,050,672,043,663,700,151,946,008,123,555,434,801,387,896,480,
328,752,874,530,997,056,742,887,615,772,283,461,060,200,263,484,511,427,198,
445,130,998,873,614,602,320,737,620,156,859,627,257,944,806,278,693,587,432,
801,592,637,921,710,556,016,203,106,614,763,787,475,486,798,476,854,930,038,
200,547,659,342,263,754,198,070,671,522,772,408,154,306,183,771,280,719,652,
725,688,555,833,987,898,439,689,019,092,743,591,309,487,635,154,961,063,932,
841,765,140,810,510,950,076,622,888,767,610,380,051,824,830,561,617,171,345,
322,890,931,884,888,709,411,874,344,961,717,235,953,615,935,347,084,070,091,
473,539,068,458,842,085,049,670,709,405,843,874,152,684,320,167,022,894,084,
676,974,588,575,665,723,211,454,294,984,751,374,904,066,172,303,722,138,173,
215,478,872,789,175,042,615,346,728,249,037,890,297,526,320,570,651,933,804,
344,140,800,701,151,139,406,756,830,555,320,840,582,696,269,596,106,248,532,
557,822,829,142,340,566,740,284,207,812,946,286,179,701,123,229,702,555,541,
583,474,137,979,455,696,444,068,488,403,367,814,874,454,590,284,844,195,949,
547,026,281,175,983,636,185,557,105,437,661,888,083,888,845,106,159,719,834,
186,529,133,508,681,635,152,187,052,243,677,123,387,206,534,237,707,460,618,
113,009,887,349,564,028,602,851,978,472,587,517,051,499,127,085,418,874,503,
921,907,871,522,333,569,886,124,794,703,020,219,025,156,935,195,196,788,519,
128,278,510,922,066,371,103,321,089,633,054,388,221,717,000,159,301,797,068,
125,521,020,314,473,340,314,824,777,708,638,779,554,156,487,687,683,943,003,
156,770,828,176,115,943,627,046,257,186,010,210,706,954,047,018,873,683,075,
186,544,434,399,100,614,669,700,440,553,399,167,775,156,874,107,963,236,986,
015,614,020,199,425,693,589,861,523,057,792,257,952,366,702,588,378,309,950,
270,683,198,125,093,413,643,557,685,017,752,883,732,457,436,828,799,863,540,
576,842,824,451,556,937,620,927,398,856,279,985,021,647,853,028,629,958,348,
548,508,782,077,520,323,929,160,027,068,498,153,008,711,212,386,596,851,019,
252,431,119,992,551,351,558,169,141,466,674,529,667,638,062,365,121,064,024,
572,145,095,883,220,255,990,444,836,746,451,192,733,593,441,675,269,482,291,
562,404,071,495,709,393,274,058,674,198,207,861,231,256,787,216,747,757,622,
383,006,857,677,336,869,753,481,764,660,409,892,538,905,374,794,475,129,748,
224,821,766,829,019,565,493,927,927,359,470,581,425,042,725,503,947,420,446,
563,887,746,688,768,692,520,074,922,085,730,851,511,738,832,931,036,954,835,
932,854,390,717,792,549,969,095,215,018,820,567,770,440,044,447,681,711,491,
494,898,280,033,917,729,543,442,989,125,836,260,378,964,496,853,556,954,556,
615,538,383,055,108,049,661,600,731,357,776,078,482,415,182,494,993,969,370,
422,132,664,845,108,208,474,710,691,723,027,442,777,230,171,291,896,212,986,
925,093,872,447,989,970,225,402,700,526,571,922,881,866,219,372,852,245,939,
048,320,689,900,661,020,338,467,911,427,905,844,957,597,013,508,622,025,221,
183,051,234,565,657,750,216,398,622,436,780,043,433,104,486,578,111,404,706,
007,378,348,017,233,456,921,854,200,253,994,746,131,268,947,904,103,779,625,
037,479,900,943,068,644,252,361,891,758,828,025,135,709,016,667,671,184,764,
534,054,513,917,320,822,741,656,974,390,022,658,994,291,869,404,896,252,634,
648,324,314,356,581,249,410,326,019,631,803,641,058,943,715,740,808,431,984,
040,106,291,112,118,760,577,449,572,494,929,453,043,430,156,116,796,631,577,
749,921,581,391,851,285,097,388,413,276,304,126,832,547,643,163,517,926,886,
345,890,571,524,308,191,189,160,797,519,489,415,868,973,541,006,299,826,820,
293,125,124,228,629,334,408,554,321,222,937,818,219,807,105,543,724,490,031,
396,322,813,470,849,298,101,931,079,906,808,496,578,873,105,303,234,259,920,
867,115,576,415,452,483,370,527,945,735,260,543,928,537,370,375,586,087,031,
763,708,806,003,633,198,982,736,952,583,970,299,385,492,618,030,216,048,002,
547,202,306,229,028,200,972,792,313,193,446,097,509,564,530,573,771,439,152,
438,707,451,854,245,978,039,238,165,436,679,015,081,904,000,469,706,599,259,
674,924,938,479,867,053,607,190,421,196,704,060,198,220,885,511,262,041,194,
718,857,846,555,961,605,122,289,869,396,669,070,891,075,625,482,683,942,089,
715,058,705,111,179,917,086,547,811,723,953,462,508,296,798,509,627,697,537,
384,633,018,450,143,716,417,177,501,102,551,006,139,895,403,351,671,812,828,
384,455,443,699,280,042,448,911,430,221,935,311,406,623,068,441,208,494,029,
379,065,063,034,283,146,321,435,820,311,193,169,350,496,266,058,629,422,380,
477,920,964,560,921,295,596,574,147,540,845,374,911,721,045,809,610,034,947,
255,159,838,664,740,821,898,849,999,982,585,447,988,939,388,212,324,869,132,
537,227,852,182,574,861,154,155,249,624,581,655,723,953,989,189,297,590,213,
118,821,398,017,219,475,817,664,062,269,819,880,917,609,800,546,555,513,052,
112,403,963,799,230,593,070,845,944,458,817,767,144,673,690,873,669,348,945,
435,475,763,121,108,966,439,326,680,943,268,321,178,060,068,259,627,404,185,
063,967,401,572,738,856,488,692,698,760,643,949,778,029,118,793,424,856,461,
831,131,848,182,276,295,823,583,002,972,175,183,072,935,865,577,084,398,880,
534,223,423,310,042,689,253,267,718,219,103,044,719,743,492,272,741,910,102,
509,238,305,498,641,237,414,615,602,883,067,816,609,074,874,689,790,150,066,
377,721,316,604,708,357,012,944,143,778,277,943,170,601,968,817,929,635,955,
148,179,485,075,491,868,604,500,900,817,823,566,609,286,312,599,133,940,940,
515,833,069,501,322,678,329,092,307,503,681,697,411,880,126,088,492,805,737,
655,306,254,449,536,744,394,889,902,613,248,084,640,240,158,210,656,472,709,
142,536,069,730,067,855,260,130,488,877,568,284,694,881,321,781,218,152,303,
189,140,163,232,731,671,082,201,673,924,399,544,891,051,291,803,870,004,987,
892,496,911,483,822,970,300,392,485,475,129,000,452,702,065,086,101,411,531,
340,687,221,197,467,391,731,575,207,230,746,546,045,759,951,277,573,411,914,
023,178,819,956,582,962,704,546,210,094,267,348,243,056,199,284,842,873,930,
195,976,528,388,595,519,091,350,168,705,122,479,329,270,203,782,364,419,038,
692,857,444,198,173,882,293,855,855,899,832,441,724,881,011,907,466,851,879,
152,381,647,132,234,002,875,344,729,418,268,212,067,279,883,758,798,607,783,
812,749,871,845,102,252,906,973,277,436,626,130,948,433,159,200,843,816,073,
950,575,266,579,404,612,874,700,693,496,306,913,835,900,231,253,348,389,654,
418,045,679,445,302,706,898,846,974,966,899,984,751,040,009,512,621,219,642,
411,822,303,297,817,498,465,175,179,307,429,875,811,962,746,667,972,302,657,
902,847,532,529,738,373,806,198,099,725,852,081,755,950,645,680,899,254,297,
734,802,574,365,062,688,576,317,205,902,637,466,866,857,641,032,087,223,941,
661,950,738,232,470,877,537,713,990,960,932,309,147,652,728,063,395,660,989,
866,182,341,993,166,586,730,885,520,609,376,220,445,340,772,730,566,897,558,
543,032,275,051,494,224,617,534,000,747,031,502,508,896,652,522,609,101,608,
694,818,149,320,953,319,631,643,465,916,584,164,349,581,287,452,303,847,154,
830,480,099,974,253,031,672,846,918,233,788,228,267,870,425,013,760,547,671,
439,365,846,105,122,729,855,324,875,047,988,174,244,054,102,645,977,488,051,
741,502,816,219,132,383,068,542,761,112,996,533,542,635,237,880,595,498,440,
006,567,631,765,773,837,924,746,891,162,818,320,323,923,707,670,350,746,260,
995,153,143,998,690,285,837,337,823,651,224,642,988,664,987,836,246,205,495,
796,433,618,594,088,802,936,590,933,584,048,638,282,967,521,276,598,180,779,
775,501,741,238,052,461,991,934,397,519,531,508,942,760,160,924,078,944,687,
492,527,772,771,505,170,757,557,145,877,985,667,189,084,128,942,644,591,317,
165,538,520,714,016,992,868,687,487,006,936,013,012,908,254,906,288,763,552,
658,548,029,463,708,838,593,521,318,532,959,149,647,470,673,429,505,714,339,
487,332,856,913,810,202,924,726,961,381,863,965,019,315,050,088,309,007,093,
965,971,911,782,655,193,951,983,316,168,459,796,186,369,025,576,858,363,053,
991,280,051,597,957,848,837,229,629,926,053,674,400,348,048,303,388,861,802,
986,643,163,353,113,991,752,873,131,335,359,308,440,899,194,621,683,042,906,
265,502,138,874,181,637,152,914,896,959,812,570,333,253,399,512,540,511,044,
961,473,210,019,399,234,461,805,669,872,377,722,241,690,119,176,196,856,323,
425,404,747,376,318,793,900,642,827,898,729,693,780,102,298,771,125,662,007,
405,394,214,970,387,892,902,657,766,207,066,573,596,984,098,232,256,262,099,
868,364,477,999,841,141,169,808,317,972,467,282,367,627,430,027,225,962,764,
309,658,747,159,047,023,588,193,801,642,881,278,952,750,495,756,726,164,055,
013,474,872,630,555,771,816,070,296,538,795,998,056,643,053,933,542,762,921,
701,074,992,799,207,773,894,034,491,979,397,232,694,602,139,789,634,699,972,
739,693,845,385,115,115,352,030,888,162,018,435,808,390,547,280,532,809,778,
681,658,347,653,661,891,840,432,629,848,009,745,136,421,961,474,271,087,878,
580,893,851,225,299,857,918,747,072,755,964,028,074,645,028,145,776,355,026,
976,751,150,600,612,117,799,489,144,500,214,923,878,714,233,060,662,729,015,
267,725,961,200,670,409,869,782,432,516,644,394,564,384,514,000,508,332,381,
076,143,935,308,927,408,110,612,887,348,485,205,484,193,338,775,921,333,842,
504,192,346,571,391,324,382,477,731,085,307,242,741,840,751,636,234,495,730,
134,809,184,597,594,024,794,404,779,940,548,987,905,150,299,857,361,367,015,
311,053,801,718,478,891,707,330,896,843,170,856,568,725,242,398,126,620,308,
214,089,104,862,632,464,458,130,009,416,829,759,033,528,862,591,151,298,095,
067,290,301,017,913,538,796,412,589,747,075,650,546,392,242,643,160,565,961,
819,094,577,645,692,831,806,782,484,786,759,040,816,255,052,379,474,581,600,
815,805,667,971,121,945,674,863,419,951,049,091,935,244,974,513,286,395,978,
606,190,883,118,690,250,177,484,261,192,652,883,317,870,878,290,519,461,963,
850,785,787,331,335,593,999,015,881,017,715,563,857,227,680,955,939,887,690,
040,584,538,238,533,842,478,079,240,071,226,142,309,171,370,447,606,462,307,
384,266,769,199,088,357,744,219,505,635,884,376,768,537,383,877,134,260,933,
565,669,058,494,996,113,865,962,579,507,822,878,787,541,875,791,802,579,954,
877,785,947,958,064,285,495,036,686,306,141,503,116,872,721,194,026,979,649,
896,847,753,046,622,329,128,080,687,556,180,562,440,950,421,082,711,491,694,
846,669,605,760,198,252,971,715,734,935,715,571,977,415,583,371,873,207,360,
839,489,216,383,161,379,473,190,206,710,418,785,688,699,043,135,313,114,703,
262,700,567,506,622,250,901,405,064,993,133,731,889,389,118,143,285,900,619,
458,863,015,297,545,280,534,811,713,580,519,107,710,295,561,382,249,015,942,
795,962,419,009,376,429,628,211,264,221,453,871,526,736,069,372,788,925,315,
897,449,301,731,456,107,194,209,156,367,311,827,984,189,437,062,724,698,599,
177,607,812,115,840,260,912,112,492,089,741,241,645,024,458,018,836,849,524,
102,132,813,353,959,003,396,583,184,396,367,102,551,261,957,250,738,543,117,
366,028,655,683,633,766,282,655,049,518,149,875,431,802,173,531,500,426,281,
525,330,079,902,372,778,815,839,133,295,714,338,629,527,368,984,984,245,137,
197,017,158,897,109,015,395,701,336,531,276,866,397,550,903,328,178,221,368,
825,166,358,194,603,435,101,889,025,510,603,891,452,878,365,370,296,991,571,
535,273,936,143,787,064,515,223,978,009,671,303,318,581,942,830,295,085,876,
006,299,903,933,903,710,278,361,414,227,032,329,282,410,652,433,662,866,590,
477,715,350,902,738,566,995,088,108,368,584,578,265,679,802,627,860,551,209,
700,606,341,596,272,720,919,648,529,451,526,798,825,348,081,641,405,177,341,
684,318,248,664,436,444,502,431,785,242,780,272,606,988,614,066,473,251,147,
691,208,948,092,080,160,925,590,685,468,988,892,474,534,225,634,644,227,331,
213,098,646,721,946,417,459,263,821,827,493,300,001,593,128,668,522,196,106,
390,755,806,699,210,741,389,325,344,914,861,220,364,342,233,534,908,783,323,
478,841,553,722,356,912,307,590,109,450,084,532,875,085,386,521,551,532,915,
818,807,483,062,567,629,733,342,850,024,226,994,928,245,189,846,700,701,628,
436,622,356,033,602,331,285,676,091,626,367,134,528,798,041,993,559,520,374,
188,644,149,572,049,687,184,184,278,688,801,412,200,249,460,731,284,838,692,
380,445,797,432,378,997,376,014,034,091,560,349,725,920,557,744,524,250,295,
203,586,228,463,505,561,764,324,823,478,806,738,718,155,032,670,560,902,727,
504,646,205,885,058,354,844,860,250,207,725,293,176,103,545,445,730,512,263,
108,174,681,039,546,799,347,903,518,309,565,176,270,443,147,425,656,363,317,
797,236,403,863,873,393,779,732,630,754,700,730,916,702,716,462,158,816,532,
440,946,356,953,196,987,564,200,401,449,790,643,931,899,029,770,708,345,032,
701,061,577,633,944,183,987,682,184,573,615,101,588,109,217,957,214,546,503,
838,355,220,008,165,130,159,190,047,190,711,083,055,212,624,022,179,887,556,
412,369,974,495,497,547,276,324,407,173,216,057,750,982,923,683,892,872,044,
042,047,403,791,057,589,190,190,734,966,970,900,235,931,575,373,072,052,325,
286,679,986,568,012,612,424,061,276,031,740,397,903,998,656,939,800,156,758,
854,463,826,156,088,748,090,367,571,575,939,321,141,430,153,630,984,312,106,
683,423,427,144,852,065,274,162,989,762,933,723,842,608,518,623,318,883,217,
458,341,257,937,796,073,642,274,131,901,827,408,798,273,724,256,760,693,288,
994,121,204,065,129,388,134,118,467,643,225,379,198,050,365,312,166,007,628,
614,528,134,953,401,963,146,742,068,330,269,382,539,111,615,236,553,620,580,
563,527,071,271,215,215,124,633,086,153,993,312,365,657,266,861,092,459,252,
128,048,272,559,852,666,662,976,125,323,288,030,574,681,733,125,916,849,392,
845,990,757,665,620,999,262,617,256,998,727,910,529,888,116,158,135,066,697,
239,622,598,348,012,052,074,453,064,360,239,496,049,527,126,487,874,085,052,
312,451,755,511,622,719,404,035,174,898,333,555,910,538,608,012,479,067,480,
587,482,959,215,004,676,109,202,997,629,973,074,075,129,569,381,694,374,217,
802,150,213,909,131,553,701,765,118,528,937,995,958,825,361,742,538,808,214,
001,446,889,593,792,327,432,362,717,938,979,691,876,001,392,979,334,384,449,
401,871,332,815,816,620,481,682,942,702,059,102,651,254,896,453,672,797,230,
943,519,469,045,276,310,565,478,259,672,406,905,649,225,706,371,943,720,119,
946,550,535,765,063,619,045,877,733,192,775,838,340,617,826,513,953,824,529,
502,725,619,519,257,877,681,560,005,143,978,121,455,899,155,220,257,548,628,
346,177,626,048,211,006,945,356,712,364,509,599,810,861,179,146,296,751,713,
105,001,631,842,179,138,848,645,731,846,782,975,541,467,824,453,194,411,666,
988,992,820,062,759,719,226,893,471,240,875,433,164,268,301,369,037,786,892,
219,284,730,754,837,057,737,656,662,558,159,083,729,559,925,152,896,267,712,
308,508,138,746,153,923,386,397,090,136,253,072,470,730,212,539,303,016,336,
518,406,136,910,390,219,423,084,529,787,267,104,899,200,467,572,689,705,456,
082,280,087,511,375,380,132,354,107,320,481,645,446,648,958,264,195,280,529,
990,132,297,306,248,148,257,788,055,472,817,009,475,021,342,992,158,089,812,
606,435,791,139,308,169,144,459,962,232,430,052,515,188,790,248,647,708,385,
076,246,114,643,313,870,213,774,302,629,946,572,010,434,640,061,588,982,193,
268,691,974,043,541,272,265,878,430,746,007,909,626,451,604,690,723,220,936,
894,856,398,808,731,185,869,263,866,875,608,111,927,670,221,528,100,377,242,
998,468,112,972,022,079,117,623,805,513,077,425,670,930,921,846,929,859,254,
168,368,699,668,828,104,321,931,400,133,442,841,458,485,973,146,821,605,094,
167,634,789,236,366,917,397,808,534,020,974,669,536,031,369,530,452,097,284,
408,094,049,939,423,689,871,704,721,969,939,446,569,291,718,033,142,308,637,
678,503,942,126,911,731,763,765,361,921,844,424,008,405,237,436,133,653,575,
769,064,408,381,378,131,162,025,930,829,340,702,876,622,838,131,046,449,938,
451,728,298,462,647,217,569,896,616,382,585,974,601,657,692,505,649,135,663,
125,715,368,338,170,466,681,901,689,676,522,564,140,504,711,737,349,751,375,
620,194,808,647,041,098,589,312,190,862,025,180,524,090,124,375,808,365,530,
928,954,421,889,080,727,562,078,676,967,678,919,913,166,589,908,211,255,614,
031,104,979,753,964,525,186,688,689,899,047,140,093,540,440,319,509,104,863,
893,380,535,645,327,510,609,434,018,606,234,931,140,724,992,758,599,340,894,
355,451,500,335,372,820,983,661,246,560,210,928,997,854,718,952,395,388,681,
219,086,676,214,780,288,407,977,012,924,941,723,332,707,902,695,925,302,315,
981,021,171,213,717,836,842,969,768,800,133,085,841,821,184,982,851,900,261,
966,306,735,575,794,311,276,484,767,570,781,702,636,550,366,495,658,365,367,
035,614,347,942,133,791,530,261,289,142,961,114,223,927,143,297,623,985,892,
155,337,986,877,031,810,055,703,422,978,214,779,362,234,919,596,908,401,054,
262,501,425,023,622,874,092,017,632,066,649,333,421,002,728,676,589,859,460,
161,437,033,811,620,572,144,963,661,144,414,139,581,078,648,524,732,201,158,
828,510,447,041,016,414,174,412,539,843,040,291,113,157,211,859,003,837,814,
745,100,069,721,914,452,404,459,638,027,992,068,050,547,527,933,913,622,980,
374,423,994,088,586,779,981,539,418,467,057,471,659,740,123,206,032,566,636,
048,117,383,612,994,586,123,565,203,150,991,086,360,181,834,869,419,132,353,
651,802,453,554,588,467,937,898,428,863,001,710,217,180,615,246,438,617,041,
283,582,288,406,765,996,298,366,616,460,647,453,966,884,218,078,288,054,048,
634,209,202,040,955,699,279,240,927,939,672,929,677,925,029,203,923,173,801,
052,268,201,798,475,636,479,765,492,451,832,847,954,143,986,659,807,386,883,
292,115,947,064,124,985,346,936,971,301,369,579,343,527,486,751,281,001,532,
182,944,542,179,825,844,907,027,225,299,329,126,864,678,858,536,708,798,445,
492,005,130,303,649,591,545,273,182,500,321,315,501,947,653,260,812,787,202,
409,757,348,777,295,580,591,425,976,253,991,241,436,033,216,365,589,532,129,
814,349,798,883,128,204,648,275,012,297,754,298,150,166,568,400,703,792,380,
458,253,125,475,009,197,593,936,866,453,381,668,062,053,913,339,203,926,052,
853,155,731,666,419,243,403,741,151,076,682,954,222,281,944,942,671,164,932,
260,390,225,439,904,886,048,543,719,238,032,868,855,515,247,460,963,344,637,
960,979,593,737,192,515,163,940,899,807,044,265,394,230,483,146,330,553,902,
127,822,403,793,298,534,963,681,914,686,724,826,463,945,917,861,083,481,850,
636,911,920,180,990,299,366,889,233,599,602,755,198,932,500,339,486,176,838,
975,557,190,178,827,436,779,860,893,748,650,975,627,551,361,144,332,093,502,
150,077,452,705,012,243,990,314,958,648,900,289,787,733,475,248,089,332,653,
653,570,861,012,425,259,037,963,491,953,043,481,192,081,424,076,374,167,589,
773,704,095,279,479,733,347,471,514,090,145,291,309,317,313,227,611,430,424,
983,190,541,028,013,527,160,745,463,739,133,175,085,904,089,310,675,148,291,
032,512,909,814,914,902,195,171,505,250,923,006,928,380,769,692,033,376,768,
740,073,614,786,732,617,195,888,268,077,271,507,971,393,510,936,752,775,233,
108,723,283,929,578,705,185,586,538,504,137,725,065,661,461,778,018,929,820,
938,327,646,496,338,069,481,694,146,712,948,759,347,504,118,299,699,320,408,
962,997,682,932,424,605,739,771,556,190,142,218,109,503,861,267,910,727,798,
704,214,787,446,606,169,886,605,745,526,138,668,001,536,297,654,127,187,714,
511,752,560,111,754,754,662,789,411,744,914,700,999,423,884,691,655,429,473,
611,385,039,655,823,360,944,502,054,707,958,131,741,650,029,949,605,602,881,
046,430,483,489,535,751,380,340,185,586,742,748,684,802,873,514,915,965,411,
066,232,551,754,034,759,950,918,858,409,061,271,867,054,815,024,281,166,163,
813,123,354,020,253,268,129,416,788,215,336,126,547,564,746,400,546,445,724,
117,591,564,429,953,368,933,305,338,517,330,083,373,897,643,714,843,241,874,
433,432,824,534,229,712,247,938,771,630,929,334,259,929,860,659,451,629,420,
712,549,765,669,464,935,515,723,697,009,866,935,678,872,572,109,069,728,591,
887,868,109,170,493,670,061,085,914,013,548,127,993,716,005,685,370,057,945,
331,492,338,249,385,325,591,572,780,491,770,073,122,651,016,492,654,283,962,
471,416,062,376,795,128,480,208,064,366,961,313,849,854,507,673,971,866,422,
210,679,180,298,105,898,542,646,982,596,551,282,284,855,866,207,633,076,459,
237,527,060,806,215,976,809,864,359,426,146,039,723,727,302,502,556,622,512,
676,550,197,417,027,802,596,309,903,283,332,460,877,243,549,216,476,781,784,
719,547,664,123,253,808,309,162,640,218,969,941,123,418,862,539,041,526,723,
174,232,265,928,076,596,324,670,307,972,587,595,416,876,177,902,886,416,737,
191,371,004,628,429,667,212,283,088,520,003,546,107,180,506,268,576,353,067,
872,084,619,508,309,847,904,420,999,694,435,700,820,129,097,325,683,672,388,
824,270,974,728,907,980,193,829,251,741,475,948,432,375,469,147,949,872,423,
041,237,518,060,128,934,237,033,476,478,090,582,518,703,027,368,321,014,164,
154,554,919,432,996,458,160,197,446,037,556,627,519,618,886,556,805,735,528,
536,615,913,612,324,655,946,872,049,654,810,196,861,175,616,085,297,366,485,
321,649,481,369,853,395,931,087,942,022,288,270,942,220,660,008,712,550,879,
467,815,203,421,088,569,373,774,483,165,678,256,978,829,252,882,115,834,674,
597,748,345,350,542,554,678,963,598,383,443,720,546,277,546,395,780,305,490,
899,550,724,623,994,524,576,607,907,488,617,199,905,932,681,021,965,530,396,
220,691,978,497,420,340,956,456,276,061,128,382,354,141,544,938,386,356,196,
863,261,492,642,809,340,308,453,346,797,028,205,322,903,522,608,408,133,964,
738,571,490,595,734,182,296,837,114,481,802,257,043,860,151,393,529,240,261,
606,363,554,634,188,748,482,322,756,022,674,699,180,372,915,667,534,284,984,
588,347,073,340,326,133,663,724,179,350,986,834,862,266,820,610,862,230,214,
255,845,166,869,285,120,243,501,863,012,716,069,682,813,541,142,134,417,822,
102,015,873,917,449,301,786,373,248,553,672,728,088,418,191,048,140,049,591,
063,408,187,627,297,861,241,004,386,563,229,343,668,589,350,715,802,201,539,
653,591,030,050,183,843,519,267,765,625,471,150,788,117,412,831,122,987,367,
389,136,111,734,245,724,909,190,928,862,036,561,562,816,311,617,454,056,699,
635,933,412,565,504,866,960,114,242,032,464,845,724,194,270,835,216,714,124,
630,189,938,014,315,863,015,366,813,315,185,857,423,319,570,306,114,321,286,
617,042,021,240,914,560,780,540,037,159,041,139,716,946,175,137,508,366,802,
433,872,684,087,858,880,013,157,447,736,398,758,030,101,098,894,902,736,166,
525,264,211,418,648,568,968,911,298,084,793,335,779,545,255,480,386,885,745,
395,241,979,776,687,571,420,793,524,462,290,647,614,765,691,821,554,630,726,
250,204,627,780,315,306,069,572,696,373,022,560,565,254,072,239,775,337,377,
160,665,926,124,756,310,001,529,188,482,054,128,967,759,812,052,522,821,000,
933,344,215,169,994,708,786,062,572,745,207,591,137,514,154,057,524,663,155,
038,009,019,227,254,253,092,136,723,196,588,709,732,726,020,922,608,459,163,
665,666,972,785,741,914,583,717,722,873,364,653,205,589,358,019,747,990,217,
238,471,071,622,047,589,979,283,552,430,758,180,667,391,487,013,934,352,036,
209,892,027,625,249,133,414,258,486,282,887,261,342,236,933,127,992,737,096,
331,803,030,361,647,399,219,163,629,724,773,012,594,996,845,993,631,336,819,
241,241,323,245,877,036,389,549,003,947,138,642,982,616,615,609,832,428,404,
402,936,680,979,174,362,184,597,745,993,680,890,056,000,139,679,812,434,281,
283,603,841,418,039,668,750,401,075,912,050,737,155,004,440,104,771,345,539,
146,668,634,779,829,094,792,759,394,577,729,876,691,806,693,316,084,534,605,
240,600,976,708,955,763,533,467,086,511,702,905,576,629,867,763,474,836,476,
090,400,623,029,566,052,390,425,979,239,023,132,115,469,839,544,649,756,712,
447,976,383,561,339,952,407,361,595,092,147,795,056,394,617,218,150,299,347,
020,740,980,412,186,102,542,396,457,716,080,917,615,954,677,381,990,024,738,
936,879,622,195,400,502,679,664,588,848,135,896,157,497,263,312,129,090,858,
884,627,785,704,765,535,277,194,913,269,049,531,277,970,610,208,225,580,212,
388,855,505,414,298,732,955,948,547,390,186,745,205,566,778,605,848,654,773,
926,216,605,518,108,618,944,329,826,631,514,304,071,713,709,835,247,262,447,
109,700,012,070,350,506,602,521,491,209,884,493,277,314,245,650,365,646,905,
786,156,381,584,420,242,181,783,573,399,453,829,829,423,504,598,229,289,311,
661,856,980,281,171,940,066,799,338,579,072,844,606,989,073,531,909,862,385,
946,704,259,174,189,130,195,414,774,037,866,844,054,906,275,866,872,050,812,
562,140,786,089,676,514,877,206,593,203,707,770,169,314,150,810,585,267,278,
203,827,361,727,326,724,790,979,295,670,829,222,527,108,223,742,267,759,176,
842,183,779,137,784,861,517,865,933,271,083,041,739,060,182,082,206,927,084,
869,880,986,545,845,621,614,866,293,177,164,783,404,551,684,264,585,913,678,
426,795,103,644,549,585,268,815,142,975,200,096,289,444,383,978,282,956,166,
126,524,777,173,940,846,357,355,695,451,218,897,458,286,617,658,891,723,470,
440,308,143,222,643,193,348,020,957,672,960,060,203,557,861,839,747,252,145,
344,783,268,710,898,575,599,280,420,174,261,014,639,984,352,749,278,697,799,
873,070,893,807,187,807,265,152,964,401,795,921,625,773,003,832,951,828,676,
131,544,708,517,455,835,288,044,575,450,675,407,552,341,060,062,187,583,422,
903,452,696,134,443,711,437,181,566,602,127,667,528,007,618,349,575,482,921,
097,117,313,509,813,102,108,802,368,375,775,553,754,543,437,274,061,333,210,
264,488,999,942,147,069,421,755,888,470,154,907,426,596,791,640,221,821,205,
798,723,980,932,919,377,862,785,046,148,505,981,330,792,282,963,406,878,180,
902,279,129,618,324,181,253,452,586,083,845,146,549,963,482,486,887,651,763,
989,891,613,026,375,389,284,384,535,684,046,969,988,584,177,555,960,154,246,
033,391,575,331,342,735,716,395,849,188,356,796,598,060,324,013,898,398,998,
490,401,859,184,960,585,108,941,673,541,460,611,157,202,630,872,985,378,226,
519,620,667,666,528,990,531,353,931,425,197,648,873,401,558,591,800,882,876,
004,791,753,960,217,235,119,968,578,055,981,849,629,409,488,362,924,681,463,
228,958,384,581,678,297,307,770,368,727,011,209,497,991,942,479,399,108,590,
687,674,367,613,229,831,353,408,725,279,983,425,504,596,875,275,826,258,944,
802,222,325,258,425,909,505,228,256,564,945,078,860,176,988,390,047,468,891,
323,334,254,100,330,623,065,527,383,138,811,267,970,067,741,147,975,328,790,
668,804,210,706,110,915,145,848,988,239,443,981,582,178,958,360,644,352,558,
318,501,561,183,816,287,402,530,786,015,568,225,199,716,102,971,656,576,138,
210,455,364,355,710,603,015,543,370,201,110,456,285,489,722,280,854,316,730,
609,582,293,516,672,598,378,656,037,870,144,400,707,343,839,155,210,051,422,
246,756,911,636,737,665,695,536,821,027,406,286,789,195,984,144,793,166,006,
583,291,898,145,015,310,347,984,251,176,415,762,100,495,593,592,813,797,741,
304,500,663,891,461,586,501,978,962,068,639,794,085,549,687,901,102,527,141,
762,375,618,068,626,813,615,459,922,222,735,890,862,589,101,748,023,651,587,
541,201,109,242,803,865,083,993,573,407,697,892,537,097,089,131,867,064,996,
439,260,721,242,516,302,984,905,810,207,098,630,234,145,579,138,176,400,339,
187,824,385,926,692,258,446,758,481,588,652,690,055,444,843,616,093,759,607,
472,910,542,316,122,177,758,758,886,519,020,620,182,718,608,155,074,243,677,
583,235,156,623,877,240,497,384,853,013,672,433,452,864,725,918,979,711,284,
499,023,019,635,258,886,806,935,933,152,954,358,557,695,184,045,281,643,757,
511,120,836,983,402,527,700,502,548,039,557,279,995,149,364,699,697,720,875,
005,618,340,969,047,324,980,252,774,741,641,758,493,040,079,196,882,998,951,
064,443,401,885,027,636,325,836,748,236,209,175,394,151,653,042,895,860,976,
715,323,579,641,257,858,154,593,611,379,672,706,616,480,362,481,484,085,391,
580,913,673,220,700,882,504,631,427,133,599,730,755,999,904,860,173,891,074,
765,868,003,792,710,752,344,643,842,010,273,023,915,442,060,839,687,249,579,
603,471,512,930,549,209,580,372,798,431,970,329,317,578,467,288,992,355,514,
730,255,056,745,526,697,610,393,472,594,066,082,143,076,108,653,550,924,711,
011,877,183,729,371,851,474,435,105,744,064,458,853,982,883,984,176,467,995,
193,337,093,644,185,832,071,104,122,774,642,884,673,115,312,659,943,273,760,
950,164,361,999,836,266,789,623,237,780,592,617,241,833,872,638,877,029,967,
315,165,701,113,946,331,389,652,380,555,159,788,844,529,799,249,076,399,605,
083,209,065,600,265,206,163,780,314,730,443,136,413,369,378,741,683,672,429,
368,967,215,784,367,568,113,105,928,271,250,714,331,388,534,759,691,519,176,
897,000,028,639,090,358,609,909,447,508,983,781,948,767,950,968,959,058,320,
884,193,282,864,847,513,324,842,355,592,027,039,883,482,698,601,218,914,926,
120,147,297,411,136,627,932,880,148,883,721,357,336,480,333,701,790,132,381,
728,934,564,083,242,021,558,075,119,067,598,529,505,701,552,514,166,000,896,
073,179,819,395,652,507,812,596,192,433,299,704,401,310,379,946,701,705,538,
761,463,027,978,564,065,362,355,325,273,531,385,687,951,175,370,068,974,411,
758,806,594,799,068,381,649,021,025,934,798,895,680,753,830,811,072,346,783,
932,863,451,178,237,694,740,357,984,235,274,486,475,459,844,714,886,816,277,
689,632,637,183,999,239,929,125,586,727,117,974,989,985,607,109,912,103,805,
259,957,339,581,084,194,786,698,404,037,838,093,972,880,614,092,449,318,603,
510,152,020,498,216,406,819,988,330,638,283,778,245,742,194,244,206,730,430,
862,245,822,073,573,752,388,849,683,775,782,057,301,957,292,012,965,800,916,
898,474,314,858,924,503,596,187,395,228,809,491,890,374,734,031,378,292,928,
524,621,449,387,675,313,524,967,925,885,948,758,562,904,994,768,634,383,540,
391,414,130,648,391,388,066,785,122,893,868,314,562,918,661,548,988,088,582,
506,049,232,620,439,282,900,192,129,932,738,102,106,848,340,026,726,297,479,
130,760,536,969,121,498,070,105,259,424,962,233,010,813,432,990,483,226,351,
113,010,567,405,553,602,763,489,045,043,609,247,985,288,198,661,723,796,757,
483,243,418,920,283,239,031,103,480,679,061,306,330,792,864,892,881,962,976,
707,365,967,858,235,084,374,307,296,131,031,100,839,513,328,633,472,459,504,
866,219,473,754,847,919,114,867,010,554,158,022,956,690,337,910,727,742,400,
961,160,308,396,799,717,875,587,421,162,243,990,177,583,234,345,565,177,978,
471,887,138,860,596,183,669,120,717,456,576,362,166,654,217,363,807,091,359,
615,489,672,211,758,947,472,171,498,895,978,353,518,044,986,729,583,921,885,
171,866,920,271,136,096,338,918,253,552,875,060,786,932,688,131,976,061,220,
642,881,350,461,507,338,945,958,857,591,325,176,439,687,419,133,788,579,914,
453,211,797,628,807,779,179,109,634,481,549,716,135,477,334,847,886,229,024,
271,820,584,320,060,107,360,956,813,602,273,173,444,165,409,831,571,165,684,
116,418,671,443,670,715,263,794,175,258,791,462,235,140,556,852,097,712,516,
299,347,468,039,046,351,760,944,575,882,460,546,315,796,309,255,053,357,131,
424,980,324,734,913,076,606,115,013,312,806,478,396,078,201,986,180,707,236,
752,408,724,962,771,195,349,451,070,238,137,971,125,866,989,676,352,035,024,
205,373,459,599,113,858,454,449,719,458,404,499,869,123,449,306,221,970,851,
036,335,302,474,763,644,590,309,955,201,965,799,723,290,543,018,612,724,335,
242,298,409,414,734,869,384,158,226,512,398,348,415,220,095,617,496,695,559,
699,424,720,446,123,333,593,310,911,752,359,741,107,937,678,018,824,002,105,
423,578,828,722,670,386,628,968,516,611,178,159,634,847,849,431,212,409,658,
861,678,673,497,301,852,257,515,665,048,423,276,502,667,439,730,931,656,366,
726,020,845,496,789,875,665,884,415,226,430,468,990,552,248,986,826,678,270,
060,898,084,616,492,833,338,142,068,376,510,676,937,005,109,748,778,480,644,
784,897,021,339,721,237,333,350,362,246,616,024,531,237,126,616,460,747,658,
257,728,488,183,924,404,341,312,188,262,252,874,568,344,693,228,272,002,608,
967,085,146,540,003,229,093,254,834,729,424,035,132,243,655,712,165,052,984,
832,611,646,033,611,127,184,463,066,177,707,789,382,515,015,751,116,598,721,
402,520,021,041,457,174,944,878,528,307,893,870,989,636,325,391,310,012,134,
185,866,931,101,938,956,873,973,045,215,992,744,742,397,042,920,462,904,848,
480,260,944,449,922,610,756,176,715,612,869,200,641,168,760,204,451,536,994,
846,608,732,979,971,618,719,312,697,050,743,989,579,671,145,762,715,526,911,
597,392,068,335,759,406,723,385,694,413,071,373,556,854,516,267,669,264,350,
418,802,591,445,007,086,467,566,419,484,094,250,949,947,961,387,449,902,250,
097,349,217,390,339,335,065,865,980,209,962,948,502,264,834,333,176,770,846,
864,820,713,450,031,678,077,890,364,195,357,837,036,347,759,728,352,375,263,
750,865,630,037,111,313,740,758,253,825,360,184,708,726,789,226,190,103,114,
731,438,049,942,862,382,538,890,636,234,689,276,253,696,205,055,825,978,495,
967,374,536,558,268,458,429,947,303,959,526,139,463,587,914,429,088,712,762,
070,661,563,707,651,775,025,506,692,022,135,897,953,519,739,752,897,848,791,
965,288,580,815,000,216,364,741,039,502,833,842,351,629,043,271,717,424,159,
733,037,664,603,769,483,616,414,101,868,020,599,752,616,488,011,127,862,908,
797,262,503,076,209,963,194,127,468,045,479,992,240,167,856,991,280,070,815,
599,446,933,905,171,799,437,643,554,595,794,506,118,819,059,866,256,474,951,
176,467,149,668,415,694,238,454,353,244,576,675,389,602,279,061,576,506,862,
439,099,047,810,934,762,164,634,214,018,986,577,762,717,360,805,925,361,851,
739,397,692,752,357,582,958,016,961,884,897,282,668,082,002,986,132,127,709,
206,554,839,195,785,661,953,893,814,993,298,245,229,692,037,818,106,637,496,
087,259,925,673,289,350,192,895,128,693,329,395,969,328,903,275,534,302,171,
356,213,933,005,133,098,362,600,887,819,431,183,301,510,464,390,738,918,610,
209,051,198,284,287,063,453,189,288,721,030,918,158,100,151,687,904,896,941,
448,522,709,835,322,973,306,262,234,736,451,361,807,283,431,789,525,016,119,
820,304,900,980,586,104,182,528,886,038,096,453,056,033,182,605,943,277,434,
807,237,765,651,333,627,781,603,503,783,499,254,423,788,149,767,424,212,046,
571,934,580,858,798,794,198,997,593,428,655,096,390,243,545,430,840,968,104,
253,065,821,597,410,113,947,634,505,345,234,478,959,933,135,170,786,230,950,
088,755,567,297,833,960,461,437,114,211,444,851,822,049,984,067,643,590,232,
089,062,054,206,957,773,613,636,496,092,992,885,508,219,678,019,223,159,786,
209,205,977,329,118,178,927,684,125,836,527,341,751,174,349,307,456,390,177,
737,933,446,455,984,751,006,148,649,985,278,628,040,292,220,822,681,179,739,
110,480,315,030,483,551,953,070,798,635,879,136,853,772,879,726,564,780,358,
202,463,125,349,880,849,212,885,055,523,391,079,119,001,892,149,972,058,930,
647,946,540,393,649,659,186,080,257,848,550,704,373,762,129,855,984,935,250,
794,696,096,630,872,616,020,642,363,068,046,609,665,456,693,624,473,886,734,
241,293,335,380,749,437,414,879,951,735,843,213,236,189,288,980,172,450,910,
899,006,700,801,086,229,076,136,381,689,124,061,864,494,024,420,653,139,198,
113,542,010,520,837,377,145,642,427,937,377,641,293,049,997,250,498,810,056,
048,851,181,790,389,172,374,708,925,724,479,441,779,554,193,204,273,696,872,
127,574,020,249,023,953,602,103,921,265,489,891,840,465,719,679,351,749,497,
600,494,236,640,757,651,258,531,950,663,069,792,969,833,884,037,813,969,293,
246,739,952,470,923,893,684,248,768,322,343,813,723,471,333,121,250,044,049,
614,430,576,998,497,212,254,949,194,230,573,075,120,502,349,714,334,085,614,
508,803,243,595,490,692,518,205,542,439,576,380,950,993,671,633,748,523,367,
031,457,740,062,430,631,621,854,800,372,897,154,240,733,177,658,737,766,527,
208,994,738,300,874,769,578,753,711,374,444,014,338,811,694,059,264,302,103,
023,616,907,618,316,545,173,631,955,658,076,064,903,241,162,333,988,897,507,
300,414,643,031,983,976,673,358,762,425,548,626,536,147,265,506,467,412,801,
645,778,755,419,464,534,482,892,327,913,295,201,735,110,529,799,253,892,300,
452,237,165,883,243,642,079,261,502,174,654,489,982,907,906,284,567,253,835,
351,410,852,877,322,533,524,848,756,885,457,300,605,182,110,949,017,828,091,
469,996,599,047,399,064,732,685,668,437,826,782,776,931,894,389,942,494,875,
697,448,427,983,959,654,932,936,975,598,913,805,654,842,026,670,491,315,656,
143,153,740,021,900,715,291,245,755,759,311,661,916,647,183,152,711,468,103,
770,762,240,910,226,936,607,120,100,477,833,914,182,121,353,413,354,718,813,
100,451,987,613,064,294,219,744,255,432,373,917,924,621,221,801,101,899,581,
677,481,527,607,424,400,369,315,411,217,697,226,036,844,830,136,224,978,020,
284,272,450,979,480,701,302,381,499,173,102,597,763,134,049,161,423,609,685,
764,438,650,248,833,354,031,636,221,298,390,877,038,474,566,398,032,037,456,
489,470,885,602,470,548,874,506,043,170,713,913,388,800,003,306,749,326,896,
531,568,462,016,542,709,148,773,509,852,604,311,295,542,436,526,425,953,229,
688,347,045,621,809,318,565,167,276,035,903,109,722,824,230,314,262,564,301,
139,517,532,495,114,169,092,654,257,083,849,424,368,919,902,834,198,713,673,
859,467,172,076,576,303,070,503,539,449,627,582,258,001,639,289,599,992,381,
837,962,998,556,626,887,682,774,547,579,882,634,043,903,831,560,281,648,527,
316,721,783,246,762,398,077,481,448,021,203,465,618,318,430,772,557,358,202,
909,953,083,890,354,346,503,174,855,761,478,578,765,266,774,918,284,496,056,
047,199,250,956,963,281,425,493,939,182,763,782,990,178,283,714,123,801,771,
803,860,954,839,036,705,278,058,583,550,051,933,481,139,447,611,466,187,236,
619,244,242,251,696,408,165,452,592,575,199,655,915,888,628,857,557,959,415,
237,161,625,166,408,287,407,488,940,025,222,950,714,344,512,641,717,986,224,
499,175,698,804,509,409,670,549,485,350,827,612,603,897,578,802,113,251,336,
948,349,381,324,392,095,732,526,151,546,374,841,984,772,585,428,691,214,840,
810,330,700,358,365,312,247,520,096,690,401,359,892,717,049,603,271,879,372,
148,355,953,239,323,286,802,751,975,908,419,331,319,487,811,233,569,132,393,
828,674,538,131,715,018,492,112,031,161,466,450,525,205,935,448,819,050,107,
430,808,417,585,619,799,150,990,316,000,582,865,854,848,283,807,530,847,140,
092,803,363,674,198,199,142,700,723,841,246,428,324,414,159,296,942,674,980,
247,912,802,286,615,055,994,562,662,310,415,995,024,047,662,779,732,469,031,
741,192,775,136,723,818,223,540,434,570,515,702,921,223,168,711,588,713,190,
571,145,034,086,957,900,487,219,160,769,628,498,281,538,561,137,740,161,448,
401,179,393,157,155,343,887,305,922,275,028,699,072,876,615,293,415,829,234,
338,521,426,480,840,442,342,918,004,768,905,788,661,199,179,584,719,865,133,
305,861,417,814,392,780,877,631,867,082,443,657,431,910,587,818,739,298,017,
890,203,468,570,113,109,531,564,039,824,788,646,669,401,399,943,734,752,205,
973,543,682,595,640,759,953,256,980,761,875,423,090,743,885,038,586,550,200,
500,136,995,958,168,392,012,022,731,499,489,407,224,227,449,759,349,719,416,
024,779,985,848,326,734,667,235,909,693,039,483,321,503,594,240,300,642,957,
716,441,660,011,104,335,203,299,881,290,655,569,532,209,713,104,564,603,130,
938,506,192,630,494,678,826,838,569,417,442,590,995,518,560,417,973,080,048,
662,911,449,508,294,368,573,947,020,654,519,435,607,040,039,260,261,766,452,
640,039,092,986,624,042,257,420,004,504,412,726,632,448,420,869,767,156,032,
922,146,716,344,576,542,427,915,269,912,452,682,498,690,386,238,956,534,588,
873,815,053,713,175,954,175,290,079,312,972,156,900,449,776,877,854,123,900,
486,583,127,960,413,433,875,496,715,338,814,082,863,391,386,557,788,635,752,
246,158,217,802,009,130,919,384,066,460,910,438,185,395,814,285,931,379,741,
365,956,812,647,013,105,546,095,009,054,853,612,193,931,145,132,819,999,383,
673,438,424,720,115,906,166,110,706,633,455,528,027,521,047,358,920,638,087,
353,224,757,562,778,977,126,991,278,045,271,096,717,762,476,345,317,523,464,
600,170,185,187,780,677,268,933,082,984,178,451,066,142,208,315,309,173,745,
151,634,341,747,388,689,043,357,051,587,827,031,555,914,948,435,496,203,835,
902,861,442,995,295,025,908,510,389,404,721,441,740,267,680,049,810,666,702,
666,544,750,072,102,972,574,505,483,382,292,744,259,451,065,445,266,375,682,
427,167,847,528,811,345,024,167,789,162,543,037,113,571,814,568,007,063,592,
351,881,587,684,569,124,052,677,458,875,672,743,728,208,191,044,789,018,649,
076,334,121,201,385,989,697,497,161,103,542,958,696,475,772,144,450,645,413,
611,252,932,323,788,518,288,523,535,396,443,834,628,134,440,023,208,999,945,
016,037,660,966,256,224,914,339,628,783,397,906,783,836,055,194,556,204,434,
007,548,250,933,104,150,958,812,633,967,097,311,947,648,480,335,452,011,478,
760,086,974,117,578,242,663,496,534,501,964,764,516,017,263,045,253,226,830,
424,971,298,698,996,537,659,766,783,672,723,455,436,231,998,735,269,859,364,
935,409,511,119,783,858,955,516,167,898,770,122,622,987,729,544,785,825,118,
523,885,036,829,496,301,825,683,942,601,577,878,396,558,891,987,587,548,620,
173,049,212,487,562,037,553,524,274,682,584,291,571,968,343,533,581,242,060,
642,421,116,547,677,225,802,086,722,075,380,591,860,717,526,602,515,818,558,
704,887,822,582,754,640,482,786,290,477,691,128,601,332,916,846,693,127,887,
129,918,000,276,183,368,789,285,961,133,456,614,175,581,752,470,272,460,471,
460,909,702,577,998,378,100,850,232,653,588,057,751,866,092,368,838,481,448,
218,149,505,273,358,636,281,999,190,836,870,837,092,841,189,864,209,724,239,
505,963,335,053,792,621,850,916,731,719,568,987,595,787,049,087,086,580,698,
903,346,840,758,437,831,653,676,566,079,845,098,886,214,231,125,942,891,182,
751,558,224,632,631,954,557,741,209,982,796,438,716,068,602,706,057,858,195,
370,983,937,764,281,684,005,683,149,289,387,024,445,691,565,859,842,406,147,
393,086,081,042,251,214,427,626,836,549,976,976,454,915,572,087,844,251,370,
708,242,894,771,502,271,618,367,017,332,514,836,611,608,492,231,919,906,306,
029,293,334,687,964,301,002,986,387,036,112,753,451,120,357,076,520,550,620,
595,940,641,272,995,695,557,861,939,741,071,162,542,237,796,139,421,270,329,
929,448,285,231,214,530,958,287,677,148,060,531,834,648,684,769,147,569,458,
514,953,961,058,039,806,684,102,225,559,599,348,434,993,573,269,237,199,281,
589,812,866,579,915,010,480,817,835,635,962,481,090,354,154,037,237,383,139,
208,809,113,218,415,729,778,098,311,578,129,647,065,901,324,912,106,113,399,
426,672,440,083,197,579,884,182,752,896,121,828,168,484,905,103,931,208,638,
269,365,881,718,941,479,516,006,688,700,766,499,847,139,260,581,829,716,813,
879,354,576,233,121,456,705,957,516,839,963,559,941,723,415,921,588,037,147,
615,543,613,609,711,336,141,780,679,857,658,349,399,199,392,327,207,032,290,
721,337,936,078,152,795,222,239,356,644,813,543,815,334,793,572,287,528,767,
495,540,422,657,821,642,528,788,441,663,799,089,728,753,141,038,563,905,784,
773,493,028,351,153,243,496,404,815,029,604,481,170,409,314,930,246,178,525,
579,681,349,710,238,792,572,462,757,917,927,318,176,469,141,638,730,746,529,
060,884,395,462,010,909,603,121,721,633,715,776,758,299,256,769,241,293,112,
332,313,463,851,408,553,923,119,704,452,885,314,872,915,181,931,287,245,664,
901,027,640,882,991,538,659,049,548,393,771,053,803,088,019,301,637,216,477,
533,693,082,465,865,686,590,432,264,710,764,183,422,885,552,623,772,903,360,
533,055,826,283,111,918,146,596,193,572,455,922,776,720,917,694,817,446,623,
177,394,495,227,444,688,049,062,266,351,913,079,993,612,772,791,909,436,582,
086,494,738,048,791,097,891,151,008,499,736,595,916,635,285,796,820,972,295,
384,665,409,673,596,807,549,079,403,786,144,457,310,707,988,138,442,483,006,
342,722,607,833,264,837,862,480,173,550,183,019,353,055,857,681,248,791,712,
097,203,291,997,058,618,034,582,069,664,587,816,118,592,026,288,564,291,189,
760,160,030,418,265,600,219,990,064,721,621,680,330,167,433,004,673,306,852,
266,798,808,719,402,674,820,326,728,464,100,801,180,738,717,890,338,191,204,
550,167,606,568,066,195,402,357,578,842,590,370,053,393,390,441,835,376,575,
968,387,927,241,166,034,030,077,485,679,320,870,936,892,918,098,496,961,102,
137,143,177,896,244,847,390,693,254,880,829,206,136,567,069,807,498,256,381,
659,660,198,357,383,122,536,121,987,111,827,168,004,451,069,676,853,362,452,
797,390,054,152,266,492,168,379,487,208,948,274,099,439,719,043,266,565,465,
627,762,552,166,820,763,824,365,479,117,008,947,431,922,330,118,158,092,294,
741,518,833,936,576,860,280,295,556,677,519,058,543,228,288,263,330,031,603,
890,972,357,408,391,064,590,028,257,673,956,305,298,319,984,736,669,488,562,
162,040,179,512,554,347,633,293,395,615,458,210,421,428,072,863,352,168,598,
798,126,651,864,351,204,643,891,493,387,776,921,856,529,333,038,336,769,734,
761,870,056,554,797,486,700,426,130,021,791,065,997,271,355,371,848,295,410,
272,489,508,175,886,124,585,890,498,874,313,590,330,181,898,303,874,069,729,
237,531,324,736,103,934,498,342,039,084,963,233,125,036,758,623,737,222,446,
404,686,321,099,803,570,751,257,081,321,336,100,978,072,068,228,355,075,574,
337,045,035,096,057,421,255,318,902,218,090,846,980,143,705,945,689,818,172,
226,922,706,835,337,750,590,534,527,008,364,026,233,124,084,043,253,484,539,
473,246,155,882,426,084,038,391,707,872,821,020,677,663,475,847,357,616,886,
017,336,069,133,658,600,597,979,957,218,246,133,706,195,105,425,642,586,583,
335,827,327,866,093,134,741,620,652,283,945,008,743,361,598,767,518,830,573,
086,709,038,843,177,150,070,982,202,118,223,705,279,723,351,234,471,875,073,
715,337,971,118,348,857,821,854,674,553,924,704,710,699,092,448,936,056,482,
714,849,245,018,581,733,150,005,477,390,929,291,655,282,365,171,147,249,932,
483,538,433,478,027,473,457,685,413,677,926,735,263,717,050,564,238,430,434,
414,806,455,793,667,459,088,631,151,132,839,403,454,379,501,436,752,524,999,
008,259,376,448,239,693,970,506,530,814,600,126,570,677,089,184,040,566,660,
558,670,851,704,552,107,965,947,468,138,802,856,477,772,781,291,555,897,202,
470,572,144,669,182,919,976,235,273,778,689,414,078,694,573,290,927,551,720,
575,302,616,069,829,493,615,576,487,753,360,703,188,552,294,360,431,705,896,
202,663,587,811,265,247,717,150,321,899,221,338,504,203,498,965,214,297,220,
658,455,649,135,770,995,617,719,253,259,833,215,997,354,139,699,118,579,746,
937,182,836,279,444,428,910,725,449,602,453,968,177,652,793,208,910,097,602,
795,141,582,155,421,442,523,688,810,563,831,129,289,112,472,803,802,464,873,
806,460,459,448,400,034,436,589,300,736,232,645,631,428,787,531,445,228,881,
142,915,470,775,517,418,494,256,302,462,270,706,499,619,934,756,418,602,138,
454,197,474,681,770,641,813,936,672,234,306,879,098,484,001,183,567,845,533,
293,311,006,735,171,342,517,576,449,032,426,580,628,307,185,534,025,077,838,
430,070,334,182,695,170,791,000,802,334,437,067,815,076,504,155,334,500,543,
912,468,995,235,625,980,161,536,552,727,025,479,091,635,148,276,741,173,903,
979,506,559,656,391,007,222,374,296,092,169,471,950,652,758,142,345,734,136,
617,687,786,504,949,950,198,870,597,757,106,159,639,910,991,286,527,503,291,
229,815,406,326,414,469,949,786,512,350,331,741,261,456,571,337,465,954,725,
998,833,416,008,950,893,305,555,089,242,546,963,504,692,104,714,764,229,049,
267,646,029,312,633,804,835,377,407,483,732,136,865,512,088,267,303,274,314,
729,153,900,566,606,225,639,869,452,749,800,647,698,410,127,678,669,508,485,
020,089,081,111,964,606,285,876,502,887,082,303,217,064,573,283,645,313,634,
543,018,230,471,895,865,210,244,608,680,095,292,703,556,354,337,889,571,633,
260,256,935,051,344,210,479,388,085,142,691,094,564,773,218,955,686,105,681,
501,819,503,393,984,164,522,679,141,790,120,302,373,539,653,854,086,299,464,
856,375,292,093,797,822,020,636,747,409,896,382,357,508,969,332,730,885,103,
442,000,375,886,096,789,789,068,294,458,438,699,529,118,474,898,002,940,862,
419,812,935,635,840,002,982,808,800,159,144,997,330,056,773,282,299,796,784,
797,494,893,216,394,439,119,124,691,719,882,119,415,770,301,950,515,199,633,
965,601,370,325,382,969,472,695,323,343,165,700,105,208,199,465,274,419,564,
140,789,036,576,112,035,502,627,735,245,304,149,544,713,912,178,739,101,686,
609,727,621,296,867,798,662,735,901,378,755,900,578,519,844,685,312,479,371,
991,899,950,869,999,181,102,897,173,514,027,094,057,243,865,383,252,242,011,
749,399,005,087,515,652,248,528,064,025,746,998,743,602,254,596,466,640,639,
540,934,903,484,474,477,296,416,260,270,634,381,293,739,972,722,966,677,042,
781,476,715,485,652,388,848,383,288,785,009,247,894,465,756,634,779,232,844,
566,571,944,612,989,488,269,182,177,437,408,247,912,442,567,484,801,201,219,
314,332,349,885,142,346,106,355,938,725,264,189,584,423,695,741,084,479,040,
682,792,109,391,261,426,589,598,694,275,351,787,520,178,694,495,207,037,428,
331,259,820,130,137,157,115,010,171,871,004,207,141,449,561,576,599,711,399,
603,239,676,444,099,874,658,783,288,062,895,041,881,931,667,820,038,293,781,
910,497,954,155,689,715,719,765,742,743,170,085,012,726,847,472,200,925,981,
241,962,561,449,232,449,274,365,939,538,374,368,695,737,734,392,428,326,514,
524,528,245,925,605,805,394,793,462,459,628,129,360,947,402,650,281,453,664,
178,625,085,608,652,834,313,113,322,906,541,008,982,675,962,529,115,877,537,
027,060,199,207,237,984,776,449,233,675,355,031,426,124,375,501,037,137,272,
166,431,915,649,341,052,658,135,574,041,911,932,021,951,219,857,184,906,591,
783,656,051,578,145,531,701,198,007,224,866,268,367,554,933,146,642,205,187,
079,366,104,925,699,726,498,980,337,070,801,452,945,519,988,112,084,832,197,
241,656,819,470,800,269,948,227,485,766,753,491,714,826,691,545,817,059,854,
958,769,524,186,241,669,089,578,354,158,560,430,752,329,463,758,527,049,954,
482,617,858,360,496,483,046,009,915,030,087,973,316,283,925,249,127,291,407,
406,572,299,362,540,658,488,700,042,825,867,357,790,276,334,276,115,417,084,
215,975,574,025,485,225,932,557,157,235,886,177,568,956,876,132,950,384,130,
140,162,111,472,836,757,470,805,538,189,382,057,944,361,672,669,755,789,150,
467,795,813,791,367,506,618,469,349,835,477,122,293,566,749,107,007,346,563,
157,885,725,670,392,589,766,085,266,717,372,572,964,073,859,149,369,725,849,
469,612,797,115,275,475,029,586,695,887,304,116,346,827,453,046,851,881,875,
709,596,670,279,027,348,995,817,294,944,342,123,584,913,836,994,134,007,337,
106,876,132,807,649,930,903,877,685,241,776,117,641,292,323,655,211,574,782,
075,390,595,158,076,380,461,248,727,337,534,421,749,079,788,338,456,216,329,
108,468,094,234,710,020,434,552,648,784,793,085,503,967,709,952,802,224,447,
009,272,879,601,093,606,820,671,127,406,282,634,583,765,306,429,103,799,990,
915,258,680,656,906,407,549,863,610,206,733,557,072,871,904,101,006,105,678,
449,390,561,936,626,313,458,409,094,740,430,145,550,367,667,626,011,513,630,
943,786,200,020,482,919,892,449,656,810,066,575,861,699,453,255,434,143,190,
429,376,776,452,715,170,347,869,870,772,857,311,726,362,086,686,468,189,878,
191,141,139,256,593,683,955,285,335,122,185,754,621,022,708,090,772,255,980,
562,670,299,221,233,184,897,533,346,252,778,863,717,815,013,136,441,999,549,
610,230,435,674,962,444,940,131,333,917,773,055,333,008,864,029,072,349,058,
554,382,398,385,511,597,936,549,466,831,467,638,751,557,303,277,248,171,123,
748,453,366,989,077,801,149,860,100,767,105,814,515,550,333,986,468,126,248,
600,342,732,126,119,157,163,158,396,383,756,719,103,545,627,514,350,458,134,
754,216,330,294,503,499,127,394,582,311,126,832,445,045,715,291,826,236,892,
523,847,021,656,471,369,783,889,185,696,417,399,218,521,353,451,733,093,566,
218,354,578,458,428,862,709,839,037,597,501,969,589,139,129,638,275,531,646,
240,192,089,471,810,927,317,311,478,055,822,863,598,667,643,618,398,393,960,
766,411,898,487,747,404,747,631,901,734,569,251,242,277,395,828,014,749,546,
529,044,201,501,948,530,488,712,342,935,079,211,255,922,512,750,927,434,333,
199,173,973,220,630,801,995,302,836,960,006,329,062,493,482,903,760,421,465,
439,264,788,725,307,427,620,063,388,397,250,318,148,135,672,791,500,958,482,
300,747,542,686,081,719,632,602,006,782,407,495,092,211,005,551,104,358,219,
623,764,957,079,988,331,652,318,511,678,215,331,183,285,746,315,972,161,290,
977,764,315,113,326,493,933,446,407,119,211,518,585,777,335,679,068,971,222,
470,894,153,379,373,718,763,412,694,281,459,890,701,827,654,615,337,881,500,
219,034,499,466,050,608,627,223,439,639,855,429,409,684,434,302,729,910,634,
336,555,848,931,985,836,404,656,537,533,720,880,756,246,797,557,903,275,962,
757,174,686,243,951,349,044,305,869,709,763,944,348,005,571,498,289,728,783,
918,779,035,315,924,353,829,938,835,407,012,848,760,207,760,848,941,115,454,
173,497,674,213,380,449,195,930,921,371,263,231,588,467,312,885,611,685,135,
214,964,902,316,838,365,665,594,646,966,921,033,522,753,614,270,936,994,333,
818,223,104,005,680,931,339,956,999,341,692,692,048,589,571,823,744,118,403,
238,616,826,311,847,834,363,991,713,475,638,449,873,632,165,686,415,656,178,
463,565,358,292,471,367,199,739,354,636,881,166,455,712,632,705,172,102,127,
334,156,280,998,751,625,251,574,660,406,337,712,183,674,516,250,800,864,644,
666,042,881,379,034,123,566,370,696,976,110,150,248,625,599,641,963,793,527,
050,012,473,282,373,324,899,145,654,607,233,930,729,874,781,185,540,389,916,
134,345,834,956,727,333,860,776,145,246,322,826,121,986,952,236,050,323,532,
997,408,519,892,949,129,095,377,434,116,688,537,019,498,654,270,845,926,773,
210,709,407,161,284,742,529,228,622,995,429,687,744,163,622,945,557,647,700,
893,374,219,053,096,288,014,764,305,714,413,702,711,724,655,299,291,937,257,
956,322,722,913,553,632,893,736,459,725,816,242,616,614,877,264,713,337,489,
650,367,064,726,572,046,991,758,885,907,141,906,136,314,013,604,860,400,176,
062,626,617,972,782,796,339,627,322,114,718,097,985,930,746,404,369,629,215,
119,062,146,443,867,108,722,074,585,457,607,876,787,451,723,136,949,763,968,
828,212,736,779,808,680,951,682,043,789,294,243,653,558,812,439,844,141,503,
811,192,783,463,679,680,258,507,642,221,249,835,095,621,713,872,164,410,615,
454,506,346,895,748,998,078,369,961,577,659,954,958,394,832,815,318,338,101,
517,272,834,701,977,740,413,462,867,717,091,584,756,934,012,254,019,876,845,
743,939,288,572,799,732,420,176,973,589,114,919,796,968,174,054,150,291,267,
276,385,130,728,865,987,043,554,740,943,907,229,831,328,770,866,452,407,677,
916,502,560,241,277,086,976,707,820,590,201,813,083,742,710,167,466,399,131,
244,392,301,519,856,775,599,861,563,094,158,407,093,572,224,966,670,363,020,
786,234,287,755,483,885,754,336,764,007,746,312,402,364,931,250,213,446,636,
425,900,681,031,880,517,639,447,569,399,132,450,449,355,994,028,874,752,972,
027,535,636,921,556,279,306,965,368,469,562,014,956,227,657,495,035,191,563,
450,052,681,778,504,763,118,852,907,946,485,109,223,996,785,763,848,758,091,
211,316,468,317,530,439,976,204,542,658,660,564,325,749,641,875,561,818,989,
854,731,291,979,798,766,149,693,979,127,095,995,139,883,879,006,923,460,065,
755,524,804,212,234,987,053,995,501,174,445,045,042,178,913,021,746,151,316,
418,098,847,256,526,856,217,697,016,470,557,065,360,544,510,305,531,332,170,
623,429,520,632,252,265,030,501,958,851,654,236,659,355,491,909,062,722,221,
646,535,446,012,925,996,434,753,017,800,060,082,943,562,794,355,932,622,943,
925,844,328,680,802,457,474,740,989,893,984,316,083,932,854,271,093,592,879,
632,525,046,755,481,704,864,590,916,206,022,016,845,929,148,901,449,182,932,
933,817,374,759,958,395,854,048,538,270,595,303,298,375,104,802,024,423,870,
924,303,243,358,363,635,052,688,494,735,039,502,638,436,271,625,468,868,047,
213,804,813,941,172,382,050,538,372,950,830,923,998,253,943,929,844,698,665,
943,770,951,483,889,917,146,854,836,155,244,600,310,951,327,531,877,826,314,
743,064,724,850,358,714,264,776,470,537,325,976,972,743,833,911,574,995,182,
881,373,467,929,662,474,408,903,029,902,755,563,468,343,841,259,736,131,353,
839,911,787,088,477,325,527,020,227,170,351,827,488,076,460,668,821,986,110,
201,892,865,877,321,459,208,702,903,884,946,116,708,545,427,484,664,588,122,
854,335,528,154,932,083,028,193,740,692,793,482,710,393,689,594,724,869,437,
758,623,128,392,901,105,813,452,309,187,179,844,974,961,412,259,506,010,790,
947,920,052,305,054,233,970,169,717,509,843,818,847,850,309,326,410,517,230,
652,977,891,994,607,077,977,343,025,611,575,059,245,962,767,926,264,375,542,
159,666,206,676,128,874,001,150,586,067,450,463,911,395,338,609,465,458,691,
835,014,933,566,127,911,405,871,606,771,024,445,187,524,516,923,710,668,474,
566,997,332,936,887,507,449,262,927,537,853,016,751,930,216,243,246,563,906,
246,366,960,135,426,885,185,541,600,102,989,556,751,657,811,334,138,278,664,
211,965,558,689,027,283,886,083,582,682,633,599,340,245,640,298,519,858,286,
603,133,488,758,599,979,009,340,655,123,176,787,104,770,460,897,347,732,709,
474,033,477,502,723,764,171,410,804,871,845,280,579,539,868,064,173,540,416,
783,775,145,548,392,319,636,271,006,712,861,250,228,035,500,352,242,234,678,
600,815,801,111,078,233,626,791,618,539,234,298,276,379,997,016,851,644,897,
941,161,194,986,587,341,448,125,288,849,348,553,878,959,507,258,281,692,879,
390,893,232,018,100,396,481,906,002,812,723,013,943,389,125,761,187,939,833,
253,961,402,018,576,301,984,420,484,836,909,769,819,356,750,696,098,250,256,
636,503,402,140,528,264,579,895,921,903,625,961,891,156,806,279,335,076,919,
100,184,071,406,796,940,588,974,529,330,843,676,037,412,451,251,093,915,973,
747,388,797,540,299,239,561,157,441,538,193,942,648,163,611,003,854,188,668,
088,929,704,178,247,377,567,333,176,348,928,709,741,655,263,016,559,125,807,
736,509,215,298,162,684,607,825,107,210,480,039,241,290,045,699,001,690,085,
294,156,769,070,526,639,544,335,377,737,942,118,769,293,016,198,310,438,579,
842,565,756,025,558,457,579,691,316,460,088,483,870,110,308,040,658,188,724,
726,896,092,893,420,701,817,275,287,659,117,294,493,320,944,929,181,201,048,
800,329,616,638,820,711,337,646,641,091,581,312,867,098,624,425,644,477,203,
310,618,496,543,772,815,662,392,880,679,899,099,181,146,662,101,241,016,247,
964,819,620,180,916,300,633,350,296,047,227,974,735,006,756,441,547,952,327,
239,947,163,279,640,769,361,242,605,360,118,278,138,665,798,134,701,208,640,
548,529,869,888,757,083,371,889,585,880,937,062,136,012,349,140,493,865,066,
915,810,850,998,327,101,618,502,763,956,797,710,876,971,356,860,750,114,403,
101,786,564,998,830,815,647,328,077,897,918,587,357,364,157,048,185,783,303,
743,084,139,141,296,481,316,327,865,129,256,951,784,269,787,753,593,510,195,
354,568,046,444,548,830,107,078,060,404,713,250,428,767,831,283,250,362,302,
933,414,529,056,050,096,909,618,605,926,889,314,893,948,530,211,598,514,992,
490,675,332,541,495,341,991,736,305,996,723,909,856,842,742,526,399,847,531,
192,362,964,179,573,916,573,596,825,987,722,525,631,525,589,455,522,963,025,
131,890,772,879,876,534,640,112,979,296,541,783,428,734,509,417,436,217,943,
809,542,182,356,304,915,031,334,792,742,721,323,263,502,851,633,080,080,393,
481,209,691,938,731,146,912,589,979,334,846,768,670,840,270,160,704,515,882,
426,674,124,836,135,206,384,358,458,292,349,596,162,462,402,295,377,631,827,
748,785,541,864,242,169,750,352,016,591,505,377,291,573,480,650,312,056,993,
822,241,473,597,140,661,355,361,370,649,988,531,031,322,213,318,775,868,346,
645,441,881,199,287,899,656,874,052,463,883,773,643,311,908,459,077,541,458,
432,739,196,458,789,208,776,258,570,253,163,095,287,503,765,842,981,238,270,
620,554,997,099,848,716,176,759,818,384,810,192,129,441,814,163,966,082,434,
599,448,086,180,867,016,364,788,042,958,647,795,950,715,501,888,028,105,059,
976,589,743,568,698,418,703,207,602,139,209,939,924,878,865,081,179,220,987,
538,422,581,535,786,125,414,418,828,518,940,383,622,907,264,824,892,419,682,
382,778,532,795,078,509,338,589,630,225,139,011,705,846,270,649,042,538,221,
875,048,721,623,315,527,464,199,142,704,219,582,889,510,363,171,123,833,177,
492,194,353,099,500,000,006,575,842,969,412,014,495,027,718,487,097,230,766,
143,664,150,535,972,857,828,127,701,389,292,349,596,330,957,422,419,554,065,
167,597,184,111,129,910,932,040,984,863,549,008,504,972,853,297,528,222,481,
369,807,416,939,786,284,335,856,655,236,672,317,729,979,557,878,713,826,885,
694,620,621,280,721,937,315,020,759,062,346,271,673,678,543,081,307,905,243,
622,609,907,550,283,764,816,022,717,568,553,839,653,754,013,993,994,280,085,
345,678,583,683,361,709,388,699,998,422,273,654,491,622,246,512,884,894,586,
943,715,577,562,541,695,601,048,125,752,968,091,158,654,024,605,215,302,599,
022,088,824,656,739,008,095,437,831,775,563,199,502,791,712,182,649,124,770,
712,310,658,459,123,991,940,978,905,733,582,655,741,006,646,452,486,734,071,
466,169,219,689,038,562,107,037,221,533,057,697,326,098,462,220,169,390,553,
842,741,020,651,002,429,973,118,125,454,284,554,462,164,620,161,259,612,952,
497,499,980,080,665,080,603,612,653,008,037,947,580,087,317,162,894,621,159,
174,203,362,822,421,350,731,569,591,396,751,846,686,710,535,632,562,323,857,
845,510,162,624,904,691,194,763,872,061,204,170,960,622,301,332,502,247,694,
055,390,880,202,121,167,903,669,929,573,293,704,020,051,721,045,346,986,457,
795,970,952,281,370,241,477,697,469,434,227,166,412,241,269,785,699,788,812,
499,208,447,824,006,776,569,495,812,581,754,957,559,925,366,383,565,228,911,
265,233,062,823,219,122,377,508,380,527,739,140,647,377,076,357,481,380,795,
963,719,389,923,985,292,240,018,145,213,109,240,765,292,169,746,076,269,178,
841,540,225,282,140,712,005,307,691,856,878,076,302,783,095,230,970,306,748,
236,894,582,664,849,134,147,512,733,933,255,563,789,754,321,655,687,652,950,
817,174,599,120,229,268,408,838,317,054,927,483,196,302,974,387,876,059,069,
256,225,345,430,873,329,974,651,258,234,717,071,422,459,065,797,398,809,374,
330,325,410,473,291,998,959,488,407,242,042,980,741,677,493,381,970,797,365,
252,194,097,184,993,794,927,441,094,766,719,326,695,530,359,891,195,939,072,
706,857,843,470,705,806,681,780,143,946,219,405,165,551,363,206,380,522,124,
789,213,185,552,615,479,505,108,568,621,059,782,409,086,236,224,392,727,893,
829,181,115,640,363,561,956,400,367,425,679,037,360,855,139,354,692,000,249,
489,213,728,651,778,640,618,007,094,051,441,416,018,738,959,194,899,681,441,
087,812,514,249,921,018,595,509,586,774,475,950,541,930,066,143,921,609,190,
338,739,671,860,523,988,375,526,321,169,943,209,724,591,648,324,658,321,503,
337,812,545,811,316,479,715,463,996,980,084,611,094,377,903,473,526,695,173,
809,953,082,585,596,110,771,712,622,453,212,835,023,511,320,037,268,641,726,
685,713,135,175,536,870,738,641,777,463,280,833,272,336,632,465,632,713,968,
927,497,590,944,913,551,683,640,022,435,702,529,646,561,705,451,426,417,213,
676,252,359,273,913,650,027,201,139,361,360,579,628,557,397,203,089,948,295,
745,853,038,557,601,421,129,555,720,678,156,237,682,333,137,648,575,514,787,
788,204,496,928,134,539,832,554,881,502,165,643,669,299,295,636,971,026,344,
305,494,324,756,524,743,131,692,955,773,506,461,035,482,720,369,464,360,497,
775,651,041,136,582,239,071,657,984,393,447,847,328,999,385,718,616,550,004,
691,006,265,751,484,572,789,264,986,138,297,324,783,427,785,203,739,150,723,
285,689,121,732,891,187,917,012,392,808,640,269,610,139,500,547,644,701,234,
402,116,360,108,284,399,918,979,230,248,349,519,191,175,296,599,588,784,826,
906,613,721,027,608,073,231,913,778,208,079,412,267,117,345,398,383,553,793,
679,387,960,518,665,407,198,200,486,327,117,452,170,909,854,754,265,717,260,
130,217,753,929,220,483,643,814,389,054,592,746,628,586,730,242,109,525,625,
261,113,171,495,010,793,149,785,323,667,827,279,689,946,744,014,283,747,840,
585,313,001,393,477,362,682,085,519,609,145,421,972,859,163,662,243,065,069,
576,605,840,150,481,485,829,775,263,153,518,517,072,900,845,631,112,280,465,
473,824,390,030,462,327,053,224,810,022,193,832,346,831,284,946,115,588,031,
343,649,105,258,952,431,883,468,419,442,112,898,529,476,240,474,372,515,552,
777,789,962,793,772,087,237,629,836,535,991,779,044,980,483,043,031,656,561,
146,737,582,634,199,557,811,039,617,696,564,552,173,900,375,998,437,617,821,
604,678,482,638,060,289,345,552,362,290,922,940,216,011,138,221,077,874,500,
236,130,018,524,796,311,076,890,447,096,946,493,367,884,337,858,038,725,435,
321,170,157,534,550,816,513,835,779,795,562,911,060,678,676,827,438,087,984,
656,214,383,104,030,442,505,310,839,029,642,933,540,739,897,793,133,285,082,
672,399,306,071,653,221,242,813,245,387,036,453,681,192,502,123,161,260,783,
898,092,512,682,599,704,594,596,292,967,453,959,968,238,040,283,504,134,381,
999,002,925,869,333,446,416,938,414,369,370,325,701,947,391,410,160,929,073,
617,321,213,606,656,832,881,441,593,537,636,037,824,329,180,147,554,827,425,
226,549,782,594,638,728,664,064,552,380,769,572,538,031,486,082,841,630,891,
113,250,502,831,516,071,283,407,983,165,957,539,600,327,172,248,109,130,499,
989,390,544,237,480,329,106,895,792,998,025,990,402,861,522,446,974,742,906,
194,411,499,023,492,523,925,566,159,053,942,204,181,816,855,454,777,554,557,
849,581,190,477,798,259,548,719,639,129,592,318,411,825,238,646,711,916,423,
747,643,390,082,035,526,153,608,942,021,989,049,053,154,415,410,361,533,110,
308,525,839,949,913,174,771,667,551,074,149,734,600,699,019,905,810,591,147,
226,316,704,678,709,066,879,366,445,064,236,048,054,449,114,562,311,862,020,
321,536,396,218,950,463,390,927,250,487,916,398,075,620,706,963,464,113,838,
238,468,215,647,594,736,642,543,202,973,958,020,942,996,730,909,016,499,364,
486,465,871,966,413,176,598,485,080,881,373,940,378,646,205,704,980,193,390,
033,770,392,718,411,495,513,629,503,128,706,161,771,999,976,371,301,904,387,
438,766,166,951,124,421,730,668,696,076,602,935,443,201,328,007,263,883,512,
750,132,446,595,479,425,798,432,075,517,977,433,926,673,868,116,248,714,241,
234,016,063,336,562,083,435,141,679,725,928,553,663,588,909,728,069,258,781,
788,228,149,472,075,346,224,428,359,337,250,516,369,047,664,145,445,677,659,
612,547,340,769,846,073,513,191,173,562,090,378,439,742,795,072,355,968,144,
917,666,661,813,272,186,105,309,117,518,724,791,362,870,124,414,714,960,014,
574,093,124,605,613,092,030,022,231,392,693,927,829,877,771,659,697,676,360,
752,071,851,832,021,083,227,887,570,886,440,520,274,471,026,076,380,132,958,
299,339,392,370,267,629,730,384,619,677,118,071,932,355,772,065,020,414,857,
381,086,387,310,187,958,535,302,865,385,194,709,108,527,015,864,435,907,477,
907,484,281,201,984,532,847,588,806,837,289,854,051,780,962,555,612,433,277,
198,030,498,565,211,048,725,722,715,148,307,467,369,201,674,542,668,621,400,
454,459,649,590,692,156,196,526,623,807,115,360,495,091,396,116,073,932,561,
931,141,208,687,440,752,793,637,320,514,691,798,987,418,476,135,518,786,422,
659,160,818,234,004,917,888,795,922,557,448,245,912,109,694,850,153,767,247,
040,770,016,543,988,696,584,690,359,768,030,695,508,831,535,472,680,659,912,
984,753,372,180,655,847,259,881,095,665,153,020,246,067,965,401,524,875,364,
136,889,871,621,087,902,499,304,042,952,659,440,804,297,642,740,356,175,659,
355,030,039,459,397,238,056,339,542,224,028,319,030,237,746,997,705,486,440,
022,255,638,395,482,707,076,010,631,232,480,395,117,130,080,430,048,298,454,
377,778,481,094,889,474,194,945,910,235,592,309,190,605,907,038,892,276,588,
247,123,501,205,467,626,240,924,452,547,599,706,787,667,322,480,412,493,571,
838,224,873,439,303,968,022,787,038,379,057,953,189,158,405,987,188,506,827,
671,022,152,809,187,381,153,775,071,721,854,276,146,812,745,111,854,753,782,
143,482,787,668,544,120,323,102,083,818,050,823,570,189,400,055,500,471,557,
682,855,930,095,237,784,214,139,990,957,437,850,070,712,776,794,984,383,292,
401,647,011,069,290,897,442,402,278,602,937,533,366,926,712,435,984,548,527,
334,306,705,926,448,307,433,626,547,842,978,747,350,721,443,700,480,291,770,
263,055,431,924,160,145,880,566,462,570,007,909,026,111,352,734,453,713,733,
710,187,984,131,814,454,900,176,910,260,671,780,544,411,985,018,148,671,102,
642,059,958,551,564,629,595,886,566,282,069,587,943,191,843,418,276,723,055,
955,648,527,740,214,784,864,496,389,085,373,028,025,233,992,995,602,016,032,
311,569,429,547,223,883,422,106,236,214,937,453,891,869,328,959,498,482,538,
645,874,039,630,673,988,936,303,080,402,716,385,823,443,336,535,381,930,252,
912,078,361,957,370,349,153,785,697,725,610,359,929,209,539,374,718,907,801,
275,446,041,897,796,418,802,725,752,122,159,217,203,881,522,401,614,146,108,
587,336,411,286,697,431,628,336,996,447,458,613,804,529,674,713,738,654,383,
488,933,436,822,481,806,206,157,968,168,144,190,328,180,644,680,932,287,933,
435,509,399,781,750,781,615,385,824,294,609,291,970,092,040,240,154,683,362,
365,243,520,855,787,592,398,318,533,593,284,095,312,538,463,176,262,611,819,
339,635,490,092,236,676,647,199,302,695,543,216,929,948,880,518,713,600,463,
812,371,303,810,844,526,125,672,168,732,565,274,695,109,819,679,544,304,445,
913,928,111,970,833,563,897,063,313,026,891,539,405,626,723,921,277,800,429,
561,509,079,833,145,041,512,597,622,209,330,250,262,889,347,072,879,044,011,
146,862,722,316,897,070,069,382,855,716,819,341,096,266,347,696,302,924,751,
994,591,762,567,694,867,202,745,745,003,884,700,184,785,332,289,243,173,364,
666,285,394,926,423,354,395,222,715,388,089,583,019,377,943,397,327,736,293,
578,366,461,269,566,339,064,509,512,017,931,175,402,835,017,685,896,180,851,
096,834,754,769,454,596,864,996,188,122,691,649,222,806,351,659,055,258,769,
099,312,427,884,453,864,638,166,512,898,516,719,393,663,636,175,389,506,677,
870,878,518,963,247,560,627,065,432,862,949,731,307,715,547,806,220,702,584,
309,421,044,065,725,974,417,588,065,158,696,115,250,418,986,375,381,490,002,
820,429,413,492,796,991,411,215,742,441,735,245,131,530,749,213,448,707,419,
269,007,798,188,428,700,989,139,727,073,653,018,864,147,025,601,217,375,684,
504,115,324,343,709,433,426,496,000,188,302,979,792,321,351,399,957,115,401,
755,554,870,561,954,434,228,071,062,631,151,126,478,875,130,138,148,203,951,
244,128,132,697,445,889,807,549,885,626,611,582,034,453,594,549,172,913,423,
989,816,362,624,337,352,137,827,789,408,391,386,967,351,409,115,725,855,172,
922,572,586,844,835,149,824,399,000,379,148,449,695,869,775,893,305,852,868,
780,233,669,068,265,736,332,004,360,762,871,199,616,160,247,278,471,679,765,
875,421,049,582,002,877,080,935,920,691,695,811,175,915,459,427,055,327,520,
253,387,128,936,058,365,070,448,718,281,733,312,914,613,358,612,349,699,422,
502,784,291,632,396,356,050,736,091,660,281,048,924,782,332,299,354,577,015,
508,471,859,608,069,687,008,849,140,746,981,315,325,098,679,949,005,657,229,
220,907,766,472,463,971,443,639,157,525,187,903,752,873,312,823,897,554,977,
467,559,577,413,401,233,204,112,635,292,581,748,724,204,585,255,511,589,565,
383,631,610,905,219,091,384,860,388,669,287,260,351,848,670,703,607,577,035,
438,502,312,335,322,653,073,623,037,470,816,586,691,799,169,737,584,236,563,
588,740,899,912,848,408,913,670,997,269,903,805,540,357,269,444,315,735,895,
659,405,042,177,458,196,992,966,099,993,607,407,987,212,811,833,778,694,332,
558,241,104,018,840,154,808,943,642,212,813,849,681,982,964,985,939,831,954,
800,424,696,659,777,385,360,701,864,768,262,663,762,540,550,223,125,608,518,
213,333,271,964,775,034,633,404,265,205,502,010,634,473,987,564,165,706,485,
162,107,408,081,702,192,172,271,771,951,625,697,414,190,874,049,225,342,183,
907,096,773,904,568,665,112,067,553,727,527,271,754,844,070,563,000,587,655,
407,582,076,630,925,532,698,103,293,078,365,661,679,680,085,080,425,724,502,
729,078,503,720,304,271,644,651,787,192,723,791,333,897,508,604,756,146,154,
165,376,971,680,620,473,963,522,298,879,969,837,489,593,249,223,768,677,270,
269,029,461,761,315,507,496,681,618,799,709,293,052,754,109,934,938,786,247,
269,436,641,612,075,373,518,692,311,367,004,971,881,454,345,944,174,948,424,
661,024,232,166,026,073,866,767,380,524,555,357,447,140,273,099,662,495,454,
050,979,482,906,663,431,652,011,145,550,529,907,530,106,568,136,086,637,483,
463,764,581,749,858,824,850,221,839,434,473,383,012,814,198,433,209,910,641,
607,214,753,383,725,375,907,499,262,515,091,843,765,694,745,282,095,301,900,
033,146,634,766,191,020,930,695,870,270,491,845,260,356,471,398,858,485,517,
738,774,421,707,969,340,273,688,499,485,640,851,642,177,815,511,252,957,077,
295,111,201,813,798,122,548,114,263,688,419,263,052,590,745,908,818,388,948,
702,957,027,475,377,996,814,102,928,661,234,783,651,152,485,351,603,049,960,
821,266,426,757,592,066,585,878,522,526,125,205,042,878,527,945,038,843,142,
776,835,631,765,395,371,399,350,500,126,332,146,940,868,056,521,707,978,532,
224,094,025,740,200,436,507,670,673,742,223,722,834,678,653,658,454,966,029,
129,167,671,877,677,868,911,369,475,528,427,042,427,563,720,848,306,746,085,
410,388,796,403,420,493,429,783,112,731,799,694,004,328,544,688,163,974,609,
295,718,472,421,442,955,684,788,774,442,953,883,933,558,159,420,677,895,695,
871,813,777,636,113,638,239,420,085,265,271,624,391,603,154,601,995,112,374,
414,514,504,408,189,517,273,339,303,164,049,831,876,489,485,497,767,522,149,
065,299,568,791,973,850,204,244,800,380,005,607,085,371,519,803,222,549,278,
753,341,525,616,006,364,370,604,722,035,421,720,494,992,940,271,067,537,590,
688,773,737,615,009,811,687,782,853,346,096,490,099,132,434,398,507,397,178,
982,056,202,687,163,830,831,613,301,876,040,696,840,856,587,156,400,652,530,
712,373,152,976,246,484,978,856,274,444,186,684,911,186,307,245,998,793,535,
744,085,805,499,082,849,518,374,324,770,448,184,455,303,219,155,755,837,849,
888,916,460,638,355,654,499,554,105,957,759,760,688,191,833,977,446,699,204,
358,769,921,526,786,512,549,428,758,621,339,825,563,486,176,432,180,843,869,
194,828,373,469,704,259,337,330,520,207,641,774,755,336,451,171,837,307,890,
917,885,281,802,560,050,547,295,648,130,092,400,073,288,398,214,145,743,259,
174,023,660,444,799,805,877,104,020,268,126,065,867,922,508,944,797,771,300,
951,180,075,444,838,677,462,906,120,151,667,067,109,508,056,068,793,972,999,
113,006,200,497,713,797,833,521,270,385,977,342,498,902,535,649,777,336,627,
050,139,486,974,891,433,421,947,329,068,183,201,836,752,925,147,483,719,335,
886,265,802,082,412,153,003,932,094,927,547,049,572,574,859,534,771,846,074,
761,736,712,676,345,501,690,891,275,913,997,211,982,361,145,139,930,148,461,
425,654,322,625,999,952,589,723,247,322,101,693,083,562,656,916,707,035,096,
743,444,711,266,265,093,303,611,375,512,342,898,661,535,744,836,988,437,107,
474,354,031,953,970,172,591,023,967,952,861,336,611,493,015,114,758,289,008,
891,406,316,397,117,867,479,356,526,513,766,088,890,069,148,991,932,362,290,
873,208,473,224,610,702,251,225,543,052,346,644,487,117,436,384,190,511,129,
224,447,687,970,886,835,950,276,978,314,461,399,276,977,684,495,101,814,389,
053,005,352,671,348,904,017,882,432,343,337,024,472,677,769,880,704,784,064,
483,082,971,970,024,050,893,282,887,694,901,069,840,263,228,731,328,284,709,
187,657,577,204,564,637,920,727,243,045,979,198,748,777,015,441,296,529,117,
823,243,351,442,595,047,402,011,317,932,987,718,014,389,601,925,862,182,020,
550,070,671,176,845,900,561,619,599,581,364,028,587,034,167,177,436,762,478,
471,696,229,601,468,809,992,664,199,669,225,524,431,840,982,840,568,912,614,
553,144,572,882,336,587,238,707,059,465,632,646,010,733,065,414,304,404,543,
217,842,843,419,459,206,228,153,401,264,570,370,902,626,914,263,293,987,274,
384,100,094,964,957,466,606,594,855,814,554,839,268,143,061,675,967,640,696,
863,715,730,760,017,847,170,229,134,073,253,320,373,439,423,347,903,715,691,
732,706,914,756,795,912,782,123,480,894,908,552,722,021,544,982,298,425,836,
804,413,651,508,093,710,807,977,716,084,171,353,341,893,770,506,971,801,906,
682,631,173,441,247,182,941,433,500,062,811,138,556,470,506,748,821,233,854,
698,793,112,231,475,153,663,620,638,913,948,892,857,365,992,783,219,528,860,
141,467,992,242,410,822,956,250,642,950,174,167,803,794,857,409,334,912,014,
360,759,832,503,125,253,546,737,019,867,999,510,639,235,921,089,099,970,704,
091,039,919,039,390,430,122,770,442,742,707,394,850,152,641,386,726,235,349,
301,946,782,426,830,710,314,600,887,459,422,240,830,233,421,782,494,526,875,
920,528,869,434,791,326,327,347,918,380,899,246,601,891,065,933,468,632,569,
402,631,708,420,925,175,566,549,551,318,322,835,281,754,514,747,610,525,501,
573,082,608,584,423,487,140,620,128,003,153,580,297,440,635,539,391,458,284,
023,397,841,553,007,670,887,230,894,789,500,509,841,933,510,918,115,634,147,
103,679,505,457,692,085,753,296,761,580,748,105,769,832,224,378,342,038,006,
145,993,231,397,977,202,200,260,058,069,733,903,636,617,984,876,045,869,557,
171,980,186,415,509,787,996,720,229,945,581,671,340,374,189,906,182,826,869,
907,696,632,562,760,959,784,095,550,393,478,482,609,266,674,864,298,317,142,
311,783,526,945,747,427,946,656,668,652,116,973,321,537,282,231,741,997,823,
600,697,724,682,917,689,335,742,411,688,366,726,832,690,147,322,254,424,462,
230,502,721,481,684,916,574,329,221,363,461,561,638,518,001,811,895,489,075,
637,264,066,445,034,920,227,145,326,865,188,390,099,122,010,553,870,083,651,
984,791,626,172,536,391,127,759,267,301,805,201,394,224,282,739,369,607,985,
910,307,293,503,855,745,595,729,447,120,913,139,607,981,137,624,005,944,701,
220,306,578,446,022,847,135,087,114,996,618,156,101,824,046,455,788,020,322,
400,301,739,884,591,059,192,031,269,951,263,061,546,352,808,782,404,632,650,
527,593,905,650,349,927,580,462,045,184,874,400,695,349,648,325,290,207,001,
262,560,416,131,573,685,404,917,688,299,319,953,987,728,210,927,024,414,346,
767,618,856,234,761,869,334,735,391,417,706,317,642,128,833,624,187,368,430,
108,679,068,249,767,603,917,869,201,172,767,200,643,999,670,310,240,982,115,
694,611,056,034,565,391,803,180,629,171,759,030,131,947,473,620,210,324,431,
442,470,927,314,588,080,849,000,962,815,362,590,467,229,007,875,174,444,715,
044,722,335,674,681,811,656,887,875,877,604,099,942,151,110,449,205,131,460,
044,729,157,531,096,114,532,976,731,974,855,758,667,603,101,271,958,626,610,
535,885,404,957,934,996,441,851,116,933,608,119,361,843,769,433,482,840,912,
521,008,841,666,710,539,480,906,880,657,945,033,138,888,234,109,691,022,800,
204,283,675,617,594,854,752,613,536,152,481,704,204,602,662,938,219,513,946,
726,258,953,217,917,762,308,701,009,989,458,065,422,662,103,018,769,329,181,
282,411,648,820,460,631,607,067,047,596,684,936,291,708,128,411,842,671,194,
186,222,602,255,786,874,688,494,440,289,951,066,839,053,967,952,322,884,359,
339,155,898,156,481,527,123,167,869,485,403,939,744,889,810,064,319,264,169,
761,547,284,948,141,748,702,097,791,461,964,937,796,501,122,024,307,597,679,
247,430,576,212,986,012,597,145,424,874,322,553,182,881,079,080,759,052,728,
853,460,379,782,208,608,726,605,820,946,211,285,515,842,593,775,965,999,578,
485,112,710,940,958,554,750,616,093,121,836,671,378,487,430,376,160,075,846,
945,255,419,771,720,867,014,271,359,171,059,316,560,447,777,037,256,551,415,
924,552,103,009,594,063,422,635,390,701,767,413,854,633,622,358,531,289,748,
047,568,417,300,275,338,766,616,339,850,631,131,312,056,851,403,607,813,843,
088,860,180,485,078,524,596,757,847,418,055,859,353,649,422,687,868,249,522,
636,397,632,480,254,164,499,523,474,010,678,780,862,789,719,416,222,868,548,
930,619,057,911,474,506,571,892,413,383,551,755,538,617,749,358,157,251,396,
382,614,341,722,789,967,886,960,258,216,116,351,468,407,405,440,798,128,633,
446,571,496,953,211,022,512,968,154,095,350,416,169,457,568,391,338,227,167,
487,202,572,321,260,757,471,874,834,415,718,980,974,074,537,258,604,218,816,
439,675,695,934,604,079,996,603,409,806,942,405,576,631,418,113,019,463,646,
912,832,379,793,860,579,899,906,937,920,762,701,627,483,740,787,414,254,179,
981,704,489,430,278,437,640,017,785,751,017,602,631,698,709,220,040,043,121,
312,205,575,009,620,162,732,928,971,309,870,723,297,093,215,019,879,676,329,
100,635,126,871,919,514,058,271,416,051,268,213,163,698,415,969,059,234,087,
306,201,719,731,625,696,062,287,797,441,010,441,499,080,565,805,727,605,285,
603,636,994,813,825,414,513,956,991,555,782,180,639,893,350,856,880,079,737,
911,457,302,774,970,992,338,642,891,844,060,981,071,788,901,352,137,177,756,
744,339,087,744,363,496,174,170,927,581,454,749,119,235,820,169,808,534,941,
678,503,038,563,987,069,667,010,952,392,792,349,303,335,593,289,037,935,076,
884,144,642,017,585,494,426,260,705,447,790,561,134,846,377,260,926,485,779,
116,173,334,999,851,574,373,688,617,853,307,941,623,046,599,898,768,017,942,
487,180,408,582,334,361,255,545,596,993,581,876,385,785,656,862,971,924,291,
719,322,849,832,099,538,495,788,966,991,522,742,751,713,252,934,060,637,541,
621,197,389,202,443,341,235,826,372,526,640,047,555,322,380,856,826,624,418,
300,137,800,938,302,166,516,068,032,794,912,318,351,512,869,741,399,735,369,
024,416,438,151,086,966,639,325,511,823,427,171,297,140,181,545,068,400,995,
519,097,704,419,478,187,678,158,728,239,496,338,798,348,330,120,876,568,153,
025,275,184,636,567,303,410,679,658,634,359,676,893,805,705,251,687,530,556,
104,827,134,865,929,235,211,512,838,929,203,845,410,610,612,973,296,309,553,
540,940,855,400,129,494,396,198,264,775,857,032,448,663,717,595,845,916,431,
243,588,526,190,861,331,169,325,857,549,946,400,833,427,355,175,041,073,306,
157,941,807,930,847,067,964,788,752,792,918,668,174,260,003,221,868,397,083,
640,579,764,410,343,787,032,810,450,245,009,572,270,108,936,482,207,042,200,
473,246,142,646,600,238,888,293,288,800,882,931,770,828,515,053,521,522,643,
578,695,341,083,515,722,671,242,052,400,272,978,403,657,508,084,633,413,010,
776,839,544,248,109,107,103,282,834,335,651,854,162,724,228,183,095,683,487,
292,233,962,839,656,954,089,406,306,814,846,168,359,073,339,348,314,361,970,
329,400,173,415,281,390,165,801,791,254,119,082,069,488,673,282,720,210,264,
153,279,145,660,995,153,524,220,364,595,645,547,765,852,020,101,578,806,512,
585,705,173,543,285,105,849,971,347,797,314,837,341,753,424,526,506,917,465,
048,384,546,741,152,501,412,311,611,035,007,873,854,893,925,278,759,078,947,
105,633,247,679,590,523,012,133,746,126,856,845,887,524,661,634,380,274,727,
678,810,806,620,001,588,022,296,572,504,354,371,506,838,917,880,984,483,586,
709,123,487,307,986,284,936,097,121,138,791,488,338,051,625,874,511,593,175,
439,097,287,323,100,647,158,140,515,445,830,861,980,087,714,969,225,305,788,
135,102,108,230,457,770,145,241,534,612,338,640,358,299,632,793,257,111,646,
577,550,788,619,728,038,298,204,922,569,277,632,422,341,339,815,993,745,987,
466,633,325,687,746,551,260,612,928,823,972,161,701,573,028,188,257,841,347,
580,402,946,670,268,000,384,597,224,020,171,878,048,128,820,450,204,402,335,
037,002,754,065,207,180,381,634,036,326,608,940,940,464,178,720,697,089,306,
621,530,976,057,496,108,674,379,188,355,749,619,553,918,652,943,674,937,366,
161,481,164,326,673,338,390,773,625,856,704,901,976,038,084,187,306,802,140,
582,587,184,079,539,848,186,207,195,897,835,091,320,301,524,918,574,507,613,
847,579,023,612,522,098,338,345,664,256,379,554,458,439,110,982,916,597,608,
577,196,153,576,750,249,535,034,483,644,287,996,138,699,726,872,656,454,727,
274,498,584,302,316,004,963,577,228,114,934,661,979,304,862,493,448,922,168,
520,303,170,893,206,958,534,164,423,335,987,981,453,749,272,303,837,656,052,
287,480,975,034,299,570,811,492,332,096,480,916,847,599,241,983,667,044,514,
269,816,024,064,986,847,304,034,986,575,806,227,469,154,616,111,069,299,066,
005,393,727,020,684,362,999,950,341,385,253,609,956,038,720,775,452,583,218,
879,515,017,619,503,764,782,255,104,695,163,752,875,771,164,991,161,994,577,
898,555,053,138,178,867,744,614,717,140,193,549,443,847,110,560,827,135,247,
964,213,841,028,166,437,651,765,402,166,866,545,441,835,061,069,665,687,132,
868,622,402,806,371,119,932,199,805,572,344,174,727,058,163,281,191,586,464,
412,241,268,502,209,219,932,937,941,828,335,120,835,962,164,476,084,250,095,
208,300,751,206,689,896,715,805,203,193,990,538,452,199,107,128,443,499,068,
304,302,144,720,613,526,102,547,968,270,450,379,632,678,694,633,904,413,181,
194,551,481,486,723,359,195,169,015,586,432,039,260,424,091,835,491,339,233,
737,122,061,481,471,863,065,068,211,103,857,377,458,184,313,962,556,974,000,
615,427,266,971,054,040,543,775,775,319,486,553,148,656,327,071,854,641,023,
066,489,709,504,069,468,127,400,126,379,933,118,968,564,577,639,315,520,456,
493,788,605,256,575,306,905,619,279,245,132,133,668,507,100,201,119,279,470,
200,099,076,457,268,942,751,244,560,344,794,796,665,181,401,447,361,893,977,
980,245,486,388,499,300,341,749,909,542,008,919,323,487,781,520,109,047,756,
240,160,954,136,070,831,409,649,804,634,492,950,761,473,862,025,128,276,595,
363,101,661,007,872,109,502,234,998,718,536,423,060,716,391,581,648,380,533,
659,287,396,790,348,051,196,845,807,022,326,140,819,823,245,043,553,298,586,
663,668,347,669,436,050,901,029,583,191,474,451,506,936,894,660,237,981,239,
642,825,336,240,338,384,910,038,101,935,067,594,480,970,755,720,167,706,730,
767,225,175,239,006,440,442,053,178,899,244,018,047,407,118,016,819,511,211,
578,677,339,077,189,763,670,713,417,985,492,824,892,592,558,410,554,602,178,
223,594,199,988,140,532,818,122,504,894,983,910,947,164,063,136,336,032,517,
500,264,974,497,231,050,706,049,443,686,083,014,878,966,820,798,542,521,050,
917,889,841,979,714,637,651,175,097,366,183,394,198,192,035,683,611,674,344,
123,386,298,596,931,062,630,439,328,789,396,724,563,556,066,041,584,775,746,
788,494,603,878,737,911,820,307,343,101,155,083,722,502,259,816,968,110,983,
617,676,106,610,767,103,542,498,514,881,746,425,906,015,167,458,468,046,087,
285,637,057,515,037,121,022,475,743,323,356,511,191,631,290,522,616,325,478,
173,625,782,981,833,285,841,257,761,000,461,140,857,762,008,641,409,813,698,
838,549,968,968,664,407,876,346,279,138,681,045,990,684,162,694,056,146,471,
612,850,643,671,812,502,065,062,163,473,203,915,564,298,840,186,209,452,776,
490,504,375,838,621,885,030,676,334,037,408,207,438,750,845,641,337,996,338,
384,527,170,371,705,578,488,992,832,084,960,727,008,742,704,285,261,523,382,
643,918,720,980,968,575,068,446,998,452,856,175,913,173,145,718,372,135,996,
208,578,445,622,592,873,373,149,786,012,376,045,869,946,251,439,065,339,407,
277,208,676,174,679,296,359,405,954,639,512,364,549,676,360,285,156,103,331,
981,804,129,816,603,932,650,511,908,775,881,751,063,179,476,827,016,222,124,
199,284,227,278,358,101,494,578,642,373,343,209,948,975,427,519,040,442,528,
870,014,854,171,675,561,979,956,624,525,188,749,598,994,915,530,689,281,849,
236,807,459,556,570,021,927,359,566,093,497,996,073,363,951,153,055,371,535,
591,717,149,161,692,295,194,535,935,961,910,161,566,885,842,843,648,058,889,
220,594,980,988,550,154,131,066,391,680,674,259,131,522,021,622,548,544,337,
117,929,259,566,123,845,483,708,274,687,219,427,320,366,603,696,938,260,758,
088,724,991,190,428,392,088,047,627,524,703,064,498,954,302,520,162,786,401,
675,345,644,122,034,384,449,322,546,623,799,286,974,870,707,178,702,547,626,
083,948,656,148,739,617,695,571,722,161,443,392,810,494,478,249,192,550,978,
531,916,962,745,765,112,807,530,947,900,273,570,726,177,084,509,248,351,114,
921,161,094,701,181,082,959,134,111,204,708,112,418,689,480,578,432,815,917,
554,750,981,886,954,689,022,216,026,051,869,986,262,232,467,421,841,695,038,
910,923,854,465,973,233,505,811,342,465,994,823,896,519,198,917,382,292,080,
042,296,894,245,510,352,654,164,130,273,458,298,956,786,997,872,053,610,367,
138,987,240,678,940,933,087,124,152,097,846,676,299,863,827,644,990,778,537,
231,952,222,187,887,315,022,044,647,612,822,424,715,656,021,987,619,496,107,
047,568,402,483,660,376,427,510,494,849,205,678,115,571,769,944,294,466,428,
552,516,069,529,625,019,861,683,739,643,248,345,796,871,255,802,439,413,035,
459,353,366,245,265,396,863,434,958,104,358,842,772,088,253,414,959,895,120,
449,587,678,535,055,388,055,877,412,506,151,672,337,601,625,757,997,488,977,
535,233,590,517,898,454,951,083,757,906,527,793,488,108,810,438,241,484,816,
673,482,947,053,150,172,635,226,114,097,891,234,244,582,766,782,860,985,311,
270,745,447,061,364,009,257,593,822,304,648,685,378,522,047,351,271,795,846,
151,709,755,407,387,825,567,191,189,120,994,896,938,307,998,644,339,345,970,
956,079,073,843,783,311,600,653,699,311,034,021,405,497,545,687,078,144,551,
879,891,369,185,072,745,421,867,767,073,884,416,093,746,382,106,866,058,503,
714,936,021,929,558,332,022,628,131,225,663,833,529,707,331,460,200,115,403,
008,784,238,705,651,878,804,080,835,416,451,738,847,516,066,433,079,781,420,
645,321,569,721,850,901,916,396,646,960,937,181,502,711,153,236,779,438,974,
774,425,690,428,600,759,743,934,650,722,734,519,415,852,289,180,722,934,623,
338,216,060,114,167,645,930,306,217,350,048,876,764,167,904,681,465,949,615,
671,982,962,281,311,564,914,881,792,040,920,613,674,094,549,382,151,769,498,
992,117,451,268,892,745,040,394,752,615,756,527,311,175,170,430,376,363,082,
405,771,514,396,034,154,449,691,352,416,955,168,131,897,902,023,318,391,611,
070,203,935,709,883,185,109,607,993,432,405,451,740,176,019,103,265,779,345,
864,244,987,000,050,595,480,123,167,430,413,379,037,573,944,080,739,926,527,
679,002,408,994,008,752,849,760,487,934,774,744,823,291,321,074,322,422,288,
986,106,012,114,122,915,624,304,232,520,483,897,694,452,972,675,452,419,815,
651,186,753,056,809,997,874,045,480,672,006,801,346,284,989,221,999,360,431,
959,095,760,118,096,616,697,071,529,329,242,783,886,922,473,947,511,426,843,
954,128,743,359,200,698,613,944,017,082,103,591,595,658,508,367,655,614,625,
829,843,180,777,582,510,515,729,194,308,549,625,122,247,799,916,872,440,168,
295,436,494,375,365,078,814,461,247,812,880,742,804,548,214,918,026,192,856,
626,092,324,814,719,143,174,675,929,093,176,815,589,661,651,555,521,184,215,
464,197,290,414,153,242,986,094,688,458,157,761,122,717,367,867,888,925,960,
083,930,449,502,279,355,041,103,515,529,555,665,453,193,889,734,709,053,469,
909,555,197,865,374,822,018,793,263,735,475,384,214,734,376,399,576,566,583,
863,132,759,684,601,321,319,532,407,460,694,722,276,836,552,591,332,735,919,
134,861,426,531,810,367,063,491,421,952,263,220,956,177,605,924,275,360,067,
165,913,530,928,193,598,368,730,440,602,348,701,549,184,802,518,059,325,956,
021,343,002,112,609,715,106,936,263,329,687,647,040,301,752,614,016,271,234,
337,550,136,506,632,686,020,546,376,499,652,210,008,300,926,307,524,152,233,
356,628,146,020,658,502,808,470,351,953,236,192,034,692,877,959,408,846,502,
347,407,047,315,833,385,884,119,821,982,409,371,830,395,698,179,375,226,214,
293,240,258,821,147,624,133,706,139,649,802,096,346,747,138,403,618,470,015,
717,935,547,694,273,931,645,008,920,802,063,939,897,344,874,242,525,560,618,
102,276,929,433,238,596,258,707,281,544,539,807,608,319,572,791,989,359,052,
948,070,820,320,599,857,964,394,661,420,832,772,597,275,482,018,354,136,223,
247,350,004,794,217,156,112,378,966,596,396,027,795,462,760,387,921,793,678,
718,675,349,060,417,002,372,200,531,102,114,286,225,696,768,648,272,350,469,
880,766,725,646,318,954,174,661,076,218,776,735,351,117,235,910,047,223,952,
557,005,473,772,861,715,006,089,130,033,962,283,993,727,874,058,206,395,537,
130,323,064,688,867,754,023,752,283,645,681,986,219,070,720,921,684,362,197,
359,698,367,040,654,370,788,834,920,754,848,825,128,012,018,382,496,913,776,
110,775,496,437,975,043,273,533,451,725,924,762,300,189,386,656,412,866,947,
297,096,831,050,625,868,748,127,187,521,792,159,208,956,483,400,615,235,812,
520,952,038,495,116,578,362,783,957,816,921,235,665,382,502,747,096,608,068,
711,304,829,142,244,426,001,697,258,060,991,541,432,766,070,258,141,368,807,
451,091,587,233,150,398,917,002,505,436,171,062,434,962,709,702,577,153,286,
604,813,328,921,653,636,347,299,815,430,231,143,109,106,364,914,593,600,127,
271,780,747,450,327,678,446,710,562,587,889,508,818,846,956,800,815,057,634,
708,622,541,103,459,269,177,882,967,129,050,756,733,201,158,311,070,557,423,
810,399,948,535,878,510,622,862,574,775,944,467,999,733,165,693,132,732,266,
647,018,342,756,625,268,447,928,266,948,188,769,750,976,044,592,597,995,463,
499,290,951,119,466,044,964,203,233,958,627,274,447,038,364,984,247,541,743,
775,027,575,765,942,192,498,774,000,955,503,138,447,962,813,756,451,541,336,
301,693,299,534,179,394,780,283,657,885,917,037,584,207,440,305,276,318,027,
295,533,806,289,419,276,753,373,822,486,491,165,232,776,176,203,453,395,557,
651,707,346,266,489,779,308,144,901,871,799,533,117,541,534,666,432,419,983,
182,548,843,231,993,342,598,503,554,501,846,393,361,710,568,825,267,536,511,
474,532,278,791,862,825,199,192,245,208,501,818,605,013,462,040,196,261,310,
930,635,622,296,993,209,321,288,262,157,183,638,520,526,960,561,746,864,229,
833,094,838,024,559,056,644,066,870,040,280,345,680,774,506,100,362,314,898,
845,822,268,784,205,175,023,481,496,334,238,575,855,836,306,498,669,016,172,
977,377,287,508,952,228,436,594,760,862,367,881,595,480,590,843,735,805,006,
537,685,598,500,864,376,171,559,199,126,891,563,964,447,016,226,074,773,930,
394,455,617,860,308,721,543,306,353,123,581,322,482,269,397,967,919,672,335,
428,497,276,673,807,565,214,266,843,383,563,676,714,338,997,708,560,311,537,
544,920,640,926,891,699,962,162,591,362,121,667,107,135,554,580,606,350,027,
792,287,112,980,160,089,675,184,239,292,627,840,216,622,650,755,889,249,436,
865,578,262,109,277,004,083,319,799,491,817,046,260,233,736,691,432,126,914,
590,671,841,290,697,369,317,040,893,179,912,161,022,169,685,729,638,754,027,
474,397,833,357,231,699,451,332,000,843,701,394,285,464,965,435,076,744,025,
317,637,711,967,110,606,929,505,168,311,717,648,713,419,639,663,052,819,969,
152,224,462,279,727,188,051,476,680,742,352,310,605,418,709,177,984,071,940,
891,107,093,497,069,220,321,301,959,933,698,114,573,004,859,221,090,726,237,
480,776,979,780,950,626,169,020,155,413,281,736,111,139,202,516,355,870,616,
864,547,737,123,701,863,691,783,048,366,630,907,735,655,040,252,562,033,578,
029,294,501,632,454,235,630,044,581,848,892,342,318,158,198,958,599,209,621,
370,717,623,388,082,285,098,415,135,654,396,894,051,549,938,941,500,323,862,
936,776,858,019,908,819,174,036,706,902,113,267,358,609,505,873,164,912,996,
328,556,848,440,934,782,731,891,712,202,423,191,784,449,290,067,435,880,526,
971,314,616,707,167,168,692,935,712,247,121,752,866,152,134,711,142,723,578,
764,680,265,450,097,200,487,864,024,758,821,924,283,212,457,206,085,503,659,
611,674,276,838,216,426,326,911,666,439,347,090,768,310,295,807,807,928,931,
618,414,190,047,311,151,875,072,929,428,168,157,194,408,627,850,203,996,874,
255,010,316,219,789,235,208,390,286,057,562,400,646,590,131,603,126,498,561,
384,800,018,231,443,401,419,591,937,168,856,128,675,959,766,081,765,289,492,
889,931,030,927,041,846,374,717,398,447,131,492,238,698,473,985,308,056,407,
907,618,661,487,515,068,188,666,385,649,167,349,599,352,458,141,261,894,108,
289,906,530,138,193,658,809,683,928,464,503,472,381,425,942,046,364,336,521,
379,123,569,201,411,502,653,294,388,233,323,497,263,105,370,872,211,613,020,
474,238,505,004,715,834,712,856,582,143,829,929,767,713,741,027,548,688,067,
452,790,855,725,610,784,719,640,975,875,945,051,625,936,895,758,426,145,945,
805,132,263,199,440,702,105,820,565,489,459,233,083,014,532,573,448,287,580,
177,179,119,402,531,597,012,400,539,881,807,626,712,081,496,733,615,511,596,
814,333,966,390,635,506,159,621,071,928,077,879,308,079,070,947,953,747,640,
886,396,090,188,704,245,070,228,327,099,550,750,844,855,629,816,379,134,112,
581,388,072,826,374,852,784,229,803,488,390,054,987,545,970,230,987,677,980,
851,493,076,430,213,434,695,901,053,849,016,485,013,190,463,369,730,192,491,
141,499,910,164,382,198,534,359,238,299,964,686,807,544,280,235,041,404,352,
031,536,863,236,377,593,515,508,863,510,191,613,138,468,622,673,171,841,438,
597,716,987,766,083,188,574,359,437,248,302,518,227,934,268,449,472,888,977,
489,154,013,502,122,935,673,999,398,307,722,872,266,884,883,195,036,631,258,
983,224,204,091,086,066,475,186,484,134,864,319,811,191,965,452,237,823,493,
453,291,628,243,967,667,518,021,293,889,168,198,269,431,227,165,295,694,391,
045,464,688,238,409,101,450,629,774,690,029,018,224,482,381,082,726,193,298,
706,248,631,541,599,714,493,589,348,541,904,716,651,465,070,804,754,087,767,
394,744,492,600,454,830,923,345,197,890,617,521,448,059,599,558,041,442,790,
594,148,353,794,570,959,323,584,218,422,389,043,561,264,760,511,583,051,526,
579,868,323,052,269,433,062,565,033,017,297,861,086,622,497,236,714,299,102,
375,426,479,152,309,714,914,277,903,303,407,702,825,780,130,124,228,548,756,
965,266,500,833,281,106,511,971,535,829,313,763,269,676,872,655,160,357,281,
548,802,510,935,893,989,396,498,436,346,514,567,220,734,720,183,011,596,311,
969,200,407,001,542,947,407,913,052,141,065,711,504,392,765,366,741,963,963,
616,793,789,781,850,646,633,096,751,553,531,741,310,452,998,241,223,806,065,
859,838,685,973,332,898,289,989,574,156,171,539,426,275,200,855,195,521,296,
302,642,777,465,561,564,319,474,186,816,285,052,457,690,507,220,911,130,680,
994,079,557,563,121,234,329,819,929,344,655,258,560,478,886,727,969,142,436,
155,449,534,087,153,615,122,402,866,698,615,043,217,136,903,694,663,721,978,
301,359,180,445,326,498,791,671,416,913,641,760,201,327,405,118,777,210,937,
744,415,720,880,950,945,988,188,338,095,605,040,087,567,765,956,240,339,535,
407,791,221,022,743,890,317,970,693,691,860,879,358,011,171,372,873,159,892,
048,669,129,248,761,992,656,538,427,871,906,575,707,312,234,266,145,879,312,
085,243,350,644,252,921,710,229,269,154,335,093,653,033,212,031,977,588,532,
677,385,018,542,427,100,823,156,443,436,468,939,482,503,973,510,853,880,430,
509,008,799,749,745,980,669,051,463,574,310,539,209,035,695,600,593,130,734,
465,710,436,934,372,785,208,878,784,432,437,420,327,482,393,599,732,712,687,
534,553,510,611,429,035,809,655,193,734,074,754,783,901,217,568,413,110,692,
325,595,755,362,265,752,176,618,773,374,116,123,310,360,096,125,868,930,955,
921,780,666,324,311,030,563,749,859,256,307,398,967,838,481,497,618,132,062,
730,351,733,507,852,906,752,988,728,320,358,219,746,155,301,158,590,980,726,
112,196,088,069,013,424,925,954,871,329,323,967,455,692,132,457,124,717,213,
872,491,839,032,326,139,161,426,363,055,043,675,245,504,065,899,108,654,998,
527,282,715,558,074,379,206,594,978,022,273,180,842,896,099,346,101,877,599,
813,887,641,773,626,139,377,757,569,492,267,809,642,440,119,793,001,237,474,
832,475,269,402,198,803,357,417,300,056,362,448,906,229,236,404,732,910,415,
111,556,820,552,968,100,740,364,010,507,219,148,602,197,314,842,705,221,536,
142,793,093,384,865,281,151,866,880,049,194,154,392,096,314,984,040,167,645,
171,249,555,638,902,194,242,194,567,098,092,422,642,888,484,564,333,874,399,
379,413,589,608,158,563,370,933,939,905,672,800,473,761,630,875,231,717,031,
449,809,285,948,495,101,649,727,735,062,320,259,486,145,253,485,652,430,811,
986,625,841,379,901,362,032,124,714,366,868,984,954,554,099,706,625,132,633,
835,535,433,975,190,902,562,260,865,824,477,493,683,794,529,053,827,102,139,
207,517,013,166,617,138,143,994,667,715,157,920,904,395,236,040,313,200,534,
537,797,639,791,313,375,857,134,190,643,971,076,340,590,039,594,169,167,124,
123,186,903,178,770,043,383,550,583,843,895,198,356,308,167,374,051,547,287,
625,830,408,070,369,000,481,023,493,149,291,753,043,178,698,189,677,402,361,
659,123,751,643,753,626,330,467,519,792,123,623,867,649,557,196,443,153,668,
270,004,170,356,542,225,213,061,011,500,131,301,237,733,255,084,999,667,090,
943,078,823,079,579,541,717,263,750,741,472,956,211,643,893,356,973,401,758,
796,389,151,715,790,955,843,188,334,514,741,117,405,710,771,853,400,523,819,
411,768,606,869,800,827,983,106,442,226,105,864,198,357,651,262,226,594,474,
680,795,211,596,306,969,837,308,882,493,617,135,141,022,494,171,460,589,223,
144,945,439,850,204,115,979,206,064,686,238,824,559,017,620,805,728,535,031,
740,737,750,380,678,762,453,195,275,263,900,612,605,351,795,610,243,393,463,
560,198,761,775,218,940,599,098,735,767,125,701,244,534,790,824,151,035,922,
800,738,126,872,406,041,179,199,920,366,823,325,970,894,064,318,487,476,084,
112,909,229,112,414,135,719,278,284,728,390,082,931,574,189,055,301,642,632,
761,893,851,703,335,052,158,603,466,370,308,976,580,103,358,874,965,187,424,
760,306,999,741,596,396,152,790,871,400,612,961,628,335,652,816,586,974,321,
203,439,425,832,105,437,067,584,909,715,793,048,230,603,323,004,707,033,031,
267,567,785,884,633,688,399,181,155,270,440,937,936,939,353,734,053,690,918,
861,485,316,216,414,217,151,811,487,522,077,310,635,833,307,909,605,680,340,
682,083,075,249,116,895,475,167,254,604,924,406,508,156,564,988,516,381,290,
953,535,193,782,070,751,877,322,234,687,869,034,484,812,814,049,070,337,260,
712,020,892,548,426,175,532,962,447,904,814,253,333,430,556,007,271,508,114,
751,181,421,232,443,320,941,040,974,797,241,452,413,705,020,024,634,092,667,
558,788,326,283,670,420,059,776,494,298,198,979,175,234,940,599,873,345,543,
204,008,039,825,828,488,376,161,914,300,645,406,601,118,702,982,880,465,349,
064,018,138,924,904,409,705,597,781,556,567,739,063,962,715,514,096,685,548,
728,949,004,849,929,255,397,655,158,808,251,768,360,585,101,052,656,672,480,
635,130,491,280,137,083,931,645,921,154,814,990,284,611,511,709,763,327,446,
649,815,254,026,025,798,500,915,618,472,338,545,260,719,774,329,442,828,955,
587,268,757,724,920,344,867,236,472,538,393,836,801,883,320,319,199,844,443,
489,058,947,877,521,447,545,533,297,038,578,069,619,165,184,785,722,417,666,
709,970,072,046,979,775,310,033,172,866,717,935,321,345,087,331,533,347,197,
035,333,625,343,614,096,241,256,271,888,694,017,451,763,221,998,720,985,628,
223,613,726,443,132,290,743,040,296,399,816,756,533,666,265,207,649,365,334,
227,962,669,323,196,869,702,999,839,794,658,420,398,852,965,694,501,888,937,
013,937,381,097,802,824,108,089,294,869,174,805,556,943,113,456,655,710,214,
554,217,052,087,795,695,493,105,309,122,762,834,957,622,884,471,064,339,518,
218,347,713,500,849,598,305,566,997,309,152,848,598,334,289,259,306,161,893,
773,264,392,965,953,627,940,685,964,175,934,179,679,365,267,232,107,724,934,
631,263,356,968,311,479,941,071,809,961,659,825,936,634,470,378,941,453,860,
825,829,316,294,024,346,777,631,688,243,149,645,765,619,606,377,785,230,352,
840,668,446,855,923,071,042,116,470,048,474,533,588,663,021,517,482,008,732,
884,558,664,518,356,265,126,928,253,554,105,803,828,767,329,531,866,160,191,
730,456,107,277,831,827,880,763,571,945,772,132,895,586,874,367,385,107,491,
953,770,473,544,633,209,985,048,382,659,522,076,966,087,415,752,790,865,911,
738,643,221,238,466,719,577,604,575,783,146,787,451,490,076,293,681,596,544,
806,164,303,665,867,565,733,927,540,633,343,738,498,487,188,000,803,646,283,
331,065,319,766,373,387,524,434,541,982,267,867,243,476,930,887,902,234,863,
593,964,707,627,526,589,945,773,061,108,562,785,220,761,971,908,665,884,912,
003,753,136,548,341,950,664,065,383,967,455,149,010,109,726,191,356,928,661,
393,196,254,814,063,330,352,457,185,273,487,556,064,372,756,430,034,543,157,
393,540,051,441,640,651,004,529,415,827,340,320,129,326,246,267,942,049,274,
535,245,392,012,935,367,400,790,597,302,871,620,470,673,731,075,025,297,392,
517,848,788,018,714,534,184,529,692,360,095,696,474,857,739,310,227,759,468,
410,860,406,574,734,315,595,078,684,604,935,338,629,684,667,273,073,192,334,
959,671,245,070,544,700,828,679,163,414,189,653,396,817,366,042,051,979,534,
636,542,720,128,352,496,522,464,323,381,332,781,308,310,419,871,057,108,968,
389,214,899,729,039,182,873,572,075,940,120,710,436,303,115,608,178,080,271,
968,690,582,130,240,471,647,596,515,984,775,543,119,711,401,649,161,521,588,
599,905,592,326,635,946,430,701,913,217,079,205,917,892,879,188,179,322,315,
793,311,693,636,681,069,700,444,584,761,864,046,351,018,868,296,246,173,594,
556,311,168,038,250,242,305,269,268,418,053,649,024,188,214,321,899,859,959,
962,644,441,907,581,754,992,094,847,579,196,555,324,611,673,086,561,125,757,
988,835,943,981,291,738,327,248,724,519,001,229,748,624,102,120,275,682,730,
707,701,035,875,078,875,370,485,170,744,020,283,530,157,940,007,959,530,558,
965,089,944,849,675,764,374,263,135,699,963,624,191,238,828,220,443,789,546,
744,420,308,833,132,800,525,213,842,444,772,174,227,302,114,940,415,243,880,
581,369,724,784,853,206,318,273,907,795,905,391,643,909,174,617,817,802,769,
709,122,437,365,699,223,219,695,776,494,006,167,114,271,014,509,101,153,130,
664,073,856,127,646,196,690,318,149,574,829,092,255,494,356,325,514,224,639,
576,411,101,090,261,041,971,578,023,910,053,541,065,803,790,763,446,462,654,
551,160,697,906,181,055,574,119,232,461,906,375,981,169,308,630,722,113,695,
236,812,201,007,427,588,763,822,174,385,031,420,340,449,360,340,707,499,462,
294,756,906,617,338,848,641,582,564,526,137,533,307,152,038,065,211,825,088,
441,897,515,803,047,827,804,856,033,312,750,062,216,900,517,175,809,781,601,
873,111,199,878,034,531,675,993,514,283,954,887,687,979,741,876,379,240,235,
484,370,865,437,003,616,293,351,562,967,247,794,215,156,309,949,065,181,462,
978,520,577,137,853,582,689,108,724,615,438,412,123,340,251,859,688,310,775,
452,737,632,246,827,331,378,192,494,642,576,165,884,484,215,190,864,228,398,
247,187,925,465,146,425,293,584,040,158,682,966,442,693,524,013,086,697,360,
290,076,987,963,369,411,070,208,366,337,833,527,708,358,439,063,764,330,272,
077,708,435,297,355,627,649,984,837,153,160,497,006,481,752,315,001,247,903,
912,571,981,099,609,522,366,044,708,808,738,190,924,582,620,947,073,367,253,
956,356,458,098,381,020,205,146,017,176,272,343,604,967,052,769,361,901,532,
903,698,263,732,454,813,792,308,789,340,402,008,525,925,017,370,618,339,684,
508,292,460,012,325,238,525,387,502,498,719,299,285,184,630,777,901,634,765,
141,923,155,149,544,688,169,253,431,358,496,412,787,759,478,109,655,834,255,
520,462,611,322,422,492,201,103,106,290,923,592,504,156,410,836,187,592,642,
560,231,861,244,094,127,857,930,450,850,320,417,694,332,913,572,245,268,191,
085,270,985,256,800,960,547,730,263,726,216,037,859,588,677,167,502,567,234,
269,193,824,958,652,374,708,055,090,348,658,145,828,555,396,849,561,733,426,
248,749,319,920,126,961,779,051,459,941,105,375,719,481,142,965,417,665,482,
146,566,215,625,748,578,265,687,656,398,492,729,392,902,683,716,164,980,795,
802,115,352,394,749,895,809,716,368,799,407,994,741,690,947,418,795,093,922,
543,243,171,678,511,445,117,369,947,948,211,770,359,863,927,652,413,046,396,
308,688,499,720,028,000,777,537,437,964,360,953,010,477,983,750,724,286,188,
261,323,671,652,524,218,210,479,186,172,229,802,475,213,557,612,613,530,802,
974,368,454,210,511,477,211,219,814,116,941,114,953,978,013,326,624,695,173,
332,244,889,885,126,080,239,373,202,913,321,416,996,085,862,455,438,310,608,
921,614,250,986,121,675,813,783,117,326,354,085,297,924,094,070,877,394,131,
372,243,923,417,458,066,334,306,705,784,065,055,334,723,031,997,609,445,850,
934,008,571,300,196,580,656,565,361,049,004,776,493,890,341,107,363,187,265,
764,850,188,075,933,414,184,157,312,130,719,787,806,228,502,525,482,407,523,
604,369,398,973,431,714,389,084,648,454,933,607,472,584,167,515,692,374,164,
870,283,159,247,960,164,627,802,929,360,595,416,958,406,819,512,797,634,065,
624,482,229,625,747,464,712,348,204,577,383,246,298,469,362,969,713,372,887,
844,009,512,438,804,169,606,115,813,021,086,683,156,178,017,790,586,674,668,
699,137,139,152,800,708,501,108,323,558,043,808,409,741,962,594,370,379,900,
603,046,167,997,671,000,236,155,123,964,636,161,545,515,316,395,430,362,704,
805,532,972,819,648,598,569,273,014,140,776,978,904,320,866,019,978,928,084,
109,105,352,944,721,133,694,690,760,458,332,139,211,141,354,247,159,962,803,
804,730,115,692,664,283,988,745,682,607,952,787,426,219,351,023,284,333,798,
664,981,355,412,481,652,923,644,031,499,823,096,943,903,893,745,738,630,254,
992,386,793,973,863,578,049,639,821,763,569,577,494,931,270,082,273,443,600,
313,772,304,988,185,962,509,115,307,630,707,685,891,196,125,072,765,129,841,
144,032,039,650,248,110,396,875,347,880,831,909,267,093,254,286,487,191,421,
348,116,131,103,671,056,018,899,375,982,591,607,020,532,236,020,205,779,963,
209,981,785,679,774,254,306,284,624,786,562,030,181,956,713,016,971,966,683,
499,973,714,306,850,013,983,695,163,399,709,177,870,371,674,077,734,788,472,
251,514,923,112,301,835,464,192,255,140,498,852,548,484,586,694,538,975,358,
067,294,872,681,809,807,953,692,756,869,949,491,255,793,241,302,449,215,173,
236,598,717,725,259,583,035,019,303,508,221,226,447,881,594,657,461,620,400,
173,087,432,176,850,187,889,855,851,380,751,798,506,315,988,485,213,765,584,
654,114,291,032,395,643,167,718,634,317,791,358,559,336,553,615,790,337,238,
859,573,397,860,257,815,698,905,624,965,912,099,567,637,057,813,080,001,343,
266,526,587,804,209,587,715,449,406,138,297,632,555,016,851,229,278,644,025,
779,237,785,110,269,570,023,526,887,656,148,698,703,686,961,910,529,562,823,
080,026,832,083,732,346,459,187,295,226,539,128,126,995,808,650,020,004,798,
665,265,405,833,018,250,326,460,618,039,087,020,823,741,340,207,928,625,658,
571,972,660,077,278,335,686,348,941,896,408,495,363,167,405,768,418,392,885,
882,468,877,646,126,541,422,407,955,206,755,047,025,929,993,273,308,042,309,
670,269,615,442,995,339,003,442,351,326,412,044,064,109,713,721,202,077,909,
721,690,496,484,609,542,569,087,081,504,849,272,651,382,408,242,622,974,415,
859,515,194,706,981,515,535,762,883,569,899,508,056,180,190,336,294,363,861,
684,546,938,251,132,327,615,397,649,995,331,111,332,588,559,933,120,001,310,
193,301,516,684,613,451,844,729,342,506,132,181,870,442,650,311,485,311,597,
809,641,670,171,071,318,222,887,545,968,581,064,359,063,550,309,474,973,501,
145,569,240,483,523,809,026,971,687,416,038,736,846,991,022,249,465,300,646,
762,152,343,550,512,965,168,346,585,352,337,025,604,236,519,699,296,103,498,
327,111,128,025,803,340,822,610,968,104,444,523,278,569,022,474,705,301,621,
111,203,315,829,624,406,713,384,684,781,135,081,075,671,998,371,870,522,821,
907,677,017,340,026,202,880,698,270,536,870,671,236,162,177,255,704,194,821,
058,928,425,345,867,713,257,246,919,096,553,116,942,819,709,343,713,964,841,
953,722,360,259,799,306,439,116,554,671,949,544,010,605,807,481,991,564,530,
921,383,110,600,814,660,149,049,477,657,942,504,606,202,916,393,069,804,947,
171,874,619,178,105,174,366,323,077,645,831,890,298,061,740,272,026,992,000,
637,594,568,846,987,018,537,898,475,867,222,267,477,123,106,405,992,105,338,
482,271,777,375,617,902,461,106,417,548,514,623,490,677,682,706,570,780,201,
587,454,872,898,523,104,255,091,034,557,666,413,166,267,956,304,068,092,864,
326,554,314,201,061,260,565,360,308,853,902,253,042,723,144,088,758,251,384,
848,031,321,826,855,639,007,251,186,918,416,842,359,558,665,781,431,695,722,
389,881,132,754,502,871,535,800,459,356,262,835,043,494,769,292,929,377,032,
586,448,802,561,637,941,081,136,792,684,570,524,991,475,668,395,708,478,229,
132,938,248,295,440,955,620,229,696,769,124,886,436,099,001,208,919,322,191,
747,685,089,758,085,852,956,151,044,991,546,714,475,379,307,573,947,209,820,
048,835,118,025,809,562,540,935,689,948,632,861,962,354,443,177,358,234,984,
538,409,820,044,839,391,508,484,746,280,054,871,514,715,331,623,664,702,053,
023,182,729,903,742,913,139,045,473,034,629,315,925,388,138,780,249,275,734,
227,848,358,129,647,691,302,942,946,585,353,819,588,279,572,149,203,292,045,
356,023,294,188,455,387,749,303,136,922,511,280,702,036,487,121,330,571,554,
490,580,763,600,924,269,755,383,939,942,334,208,787,395,462,400,265,917,710,
433,174,649,134,251,487,065,777,571,621,646,720,001,709,909,612,273,144,981,
872,730,654,870,735,426,583,798,744,857,197,125,247,949,799,367,911,896,705,
997,664,558,709,143,560,920,176,743,809,034,631,649,177,484,592,770,540,176,
017,319,960,300,836,305,521,475,715,968,968,089,672,817,419,648,362,063,091,
723,774,198,727,693,330,925,285,878,919,867,486,612,723,288,114,318,738,315,
079,214,187,982,341,275,279,021,162,861,040,777,442,411,885,229,281,487,940,
900,894,102,881,468,027,167,259,939,611,417,935,626,379,535,607,684,689,947,
208,689,821,817,774,949,710,577,209,775,257,888,404,890,128,900,162,930,482,
166,552,983,964,511,813,831,531,731,854,539,771,331,850,467,347,607,326,794,
873,388,814,207,799,892,460,266,396,084,248,365,804,050,847,650,083,021,078,
286,997,574,330,111,845,715,208,559,267,795,171,058,096,383,442,841,626,390,
098,324,241,489,487,369,588,446,632,035,059,745,295,913,481,398,186,106,577,
115,044,675,646,361,962,030,156,509,112,991,270,858,767,572,562,484,651,876,
278,958,396,648,521,853,139,679,580,463,270,796,955,504,731,908,226,396,257,
205,991,164,296,437,483,805,926,462,874,010,852,782,529,183,561,625,391,652,
843,234,542,461,832,781,999,506,180,862,342,514,587,112,850,365,715,396,457,
032,596,106,511,434,542,066,981,202,353,694,333,609,085,339,469,215,009,622,
173,539,346,847,556,040,730,206,129,905,624,972,591,114,820,549,855,286,314,
309,090,747,346,735,754,579,459,232,530,325,947,772,885,526,554,035,879,849,
107,034,149,193,250,581,424,354,779,518,587,106,429,955,588,077,597,181,609,
462,709,860,262,303,645,993,590,206,281,283,238,897,456,711,869,837,375,439,
668,917,685,786,506,874,540,746,772,164,283,278,994,674,526,062,609,787,362,
391,682,583,360,635,579,809,031,715,424,901,919,223,026,089,312,531,358,811,
212,403,873,398,146,263,282,688,254,837,089,553,480,016,418,408,999,173,174,
573,779,172,626,608,213,400,394,993,526,807,654,421,470,996,268,220,847,629,
536,209,940,074,350,130,319,142,029,130,174,742,458,510,326,571,334,536,625,
383,020,843,982,373,497,138,220,556,741,087,930,866,581,909,092,550,054,893,
187,032,867,292,819,595,901,205,298,973,729,127,282,343,161,157,542,857,823,
095,504,459,392,526,847,301,291,611,076,086,033,394,847,453,007,541,634,737,
440,883,366,199,336,000,200,242,566,733,946,469,036,244,225,629,960,224,429,
203,065,543,269,321,880,408,211,189,701,303,260,801,867,532,544,153,437,815,
151,443,934,157,795,117,698,089,960,973,044,053,533,960,904,217,562,415,981,
123,907,262,781,238,618,892,050,041,689,823,721,082,416,602,251,812,601,021,
676,114,196,399,808,857,277,369,301,706,534,878,257,373,566,054,544,696,417,
811,660,054,791,714,145,852,304,177,709,329,712,228,850,664,597,336,503,619,
888,246,285,436,355,366,524,100,916,947,192,213,125,693,625,833,171,540,964,
709,784,594,808,417,180,954,319,644,177,033,533,461,031,504,550,399,434,974,
556,465,324,267,896,737,269,688,856,884,039,125,739,421,001,687,551,734,883,
787,050,694,048,331,328,052,679,002,211,288,958,423,052,492,546,909,712,914,
493,557,414,733,033,833,421,137,085,862,775,348,540,624,568,608,263,667,935,
400,276,830,330,495,137,928,457,541,376,266,560,204,785,507,034,403,869,540,
496,913,193,787,566,974,966,739,227,614,178,163,223,922,137,765,572,474,826,
191,260,690,036,033,196,699,257,773,176,839,236,926,982,902,553,722,277,481,
676,699,738,891,891,181,939,168,438,462,421,467,734,673,132,017,886,088,544,
290,291,682,939,689,073,212,431,059,418,477,920,970,548,221,370,633,524,458,
970,370,946,345,739,422,654,896,999,069,866,167,104,101,004,611,916,069,684,
867,828,416,932,261,632,247,214,484,211,787,275,806,248,782,389,687,301,211,
309,339,902,340,399,656,802,515,340,725,626,283,540,244,705,457,948,788,496,
095,616,138,240,002,965,288,789,164,307,149,111,929,131,486,733,420,902,363,
636,101,004,936,221,390,481,053,820,187,379,799,850,871,598,885,299,554,852,
403,198,805,019,203,763,458,673,880,538,563,917,131,549,228,978,565,318,982,
347,532,073,057,956,338,860,845,530,834,195,369,891,674,113,907,448,153,859,
928,254,644,907,854,608,270,759,752,298,934,447,120,853,722,539,831,851,637,
395,945,690,400,527,653,670,086,379,063,539,307,117,371,545,578,575,950,589,
128,301,645,944,875,690,097,743,414,730,067,387,526,878,547,541,249,882,717,
799,522,977,555,394,119,729,540,935,289,614,601,737,776,130,432,308,767,715,
337,780,012,995,010,927,067,620,983,336,046,242,110,947,382,351,134,873,828,
652,989,129,757,768,909,200,934,177,183,832,753,454,982,708,825,877,166,876,
923,988,868,487,059,905,707,407,200,678,205,327,206,956,590,389,626,813,373,
211,801,143,746,356,616,579,420,650,920,046,047,796,329,277,759,182,715,094,
740,058,494,018,942,029,013,638,293,878,119,643,659,662,886,093,561,130,595,
481,210,502,832,725,278,185,135,296,889,958,265,543,184,126,987,403,148,894,
265,043,765,187,884,610,201,282,903,255,070,384,048,571,395,632,129,962,110,
465,764,171,655,151,623,054,539,266,109,470,953,019,501,367,096,331,356,601,
707,874,052,985,000,722,419,084,320,191,785,264,831,202,230,472,685,867,767,
045,895,633,593,454,821,338,616,501,774,301,538,858,309,115,298,550,110,391,
102,430,982,273,071,162,666,153,089,216,904,227,743,848,281,732,987,930,597,
369,199,697,936,807,951,646,166,633,315,577,684,540,768,029,105,399,713,470,
937,880,097,817,577,122,978,822,948,240,607,354,945,540,500,800,968,283,759,
767,183,295,966,208,064,252,644,374,373,078,290,924,182,022,162,507,538,756,
143,021,540,834,011,233,119,307,982,897,442,191,275,590,213,886,071,531,371,
674,743,332,608,595,080,302,374,635,034,843,140,070,537,065,455,904,300,825,
145,324,917,160,488,875,830,587,000,140,626,744,394,231,629,181,565,512,990,
527,371,205,322,502,950,289,746,343,991,398,299,448,077,939,949,844,660,474,
150,932,470,608,783,980,165,890,298,194,209,351,590,289,701,686,127,926,437,
427,596,204,988,196,373,010,146,667,893,222,327,106,534,996,369,198,823,975,
549,922,585,978,342,195,223,325,768,128,724,903,421,909,803,257,921,051,751,
644,444,174,863,473,789,249,571,528,474,532,887,002,382,575,874,771,828,364,
994,819,428,020,992,801,665,226,517,181,771,561,269,005,338,152,234,504,309,
519,661,888,300,565,395,519,565,256,177,574,887,180,758,027,292,355,974,687,
243,873,359,621,369,281,302,757,155,323,369,080,594,226,162,324,054,065,388,
515,994,123,972,168,453,785,118,608,525,098,397,347,353,385,049,199,167,448,
369,549,966,893,437,053,162,184,626,236,153,881,356,650,297,794,982,206,765,
069,042,361,172,983,929,725,383,602,018,080,584,918,944,597,828,264,241,302,
811,470,323,199,562,621,886,857,060,990,496,595,800,890,989,079,396,585,429,
041,745,000,370,747,471,392,778,964,913,940,563,094,551,097,078,235,681,381,
528,193,200,427,925,625,935,143,972,215,509,959,546,017,951,047,322,674,019,
612,017,323,236,374,630,719,550,979,589,321,620,332,064,209,246,766,196,624,
529,770,345,292,386,668,374,085,573,187,925,778,226,791,627,005,170,844,531,
179,234,154,073,995,098,156,674,718,500,862,116,330,122,281,702,576,689,104,
137,816,771,075,060,908,890,380,717,000,146,646,382,366,392,241,376,071,935,
028,302,206,909,557,148,998,977,512,362,371,388,751,822,066,574,410,691,591,
095,804,368,124,068,578,727,381,980,766,628,514,982,887,290,869,524,432,714,
266,843,896,356,284,682,898,680,318,039,728,196,530,659,351,730,519,476,415,
637,331,006,202,327,611,830,045,090,595,349,677,709,345,196,008,803,888,503,
660,838,722,758,424,139,546,325,498,661,707,240,097,227,770,195,844,096,592,
933,184,613,411,439,216,020,448,193,819,387,830,396,602,931,473,603,225,818,
026,613,787,133,070,270,589,999,975,778,851,086,699,476,528,541,616,814,784,
315,133,889,730,830,476,314,781,381,388,295,676,082,998,834,956,721,417,725,
777,914,133,878,462,429,319,836,252,795,524,070,078,950,929,244,661,842,175,
262,632,532,165,148,382,154,065,928,589,359,159,166,063,496,652,849,891,635,
934,971,955,894,496,265,433,693,218,203,673,136,866,437,714,204,522,146,375,
296,713,422,267,011,178,443,857,297,651,641,827,085,283,075,469,523,775,034,
820,808,926,851,753,573,877,610,823,720,572,760,021,483,019,134,178,992,905,
540,137,823,925,328,657,415,875,513,771,552,933,355,276,836,451,241,954,736,
793,166,306,716,085,084,185,876,042,116,839,116,504,092,967,636,208,690,165,
876,245,144,794,927,508,665,197,388,607,110,393,044,504,012,155,333,431,227,
636,281,927,530,260,165,938,306,210,288,747,737,668,985,968,909,719,467,601,
227,389,304,314,793,011,720,171,457,757,752,187,724,735,235,316,328,293,181,
915,895,140,545,392,662,730,478,247,504,723,583,179,940,063,839,746,714,353,
214,524,283,091,823,897,851,298,750,731,496,556,275,934,267,118,798,824,128,
421,078,770,625,286,268,025,951,841,022,297,000,095,233,542,462,658,158,426,
814,301,351,576,058,229,933,530,333,709,161,978,222,223,797,911,397,376,340,
514,593,371,014,683,890,955,589,909,997,173,390,515,498,335,434,003,263,215,
487,971,226,101,107,433,486,462,998,949,682,990,347,374,534,411,032,085,916,
247,649,625,734,602,625,893,335,787,050,546,364,165,355,292,436,289,682,013,
109,540,621,030,409,396,891,906,065,097,917,193,366,409,135,789,527,520,585,
666,942,526,586,799,096,467,693,244,607,564,137,859,424,987,470,966,159,489,
721,684,962,676,975,383,329,617,061,944,249,736,824,263,788,337,634,444,017,
285,067,273,839,220,384,683,367,363,047,162,503,703,134,587,538,584,719,471,
155,228,641,545,200,716,524,398,708,777,898,476,996,213,310,014,584,980,783,
080,896,074,520,382,553,755,253,411,559,130,517,952,746,189,639,692,430,559,
968,124,931,587,238,145,264,763,175,741,720,856,625,849,114,507,812,562,898,
026,259,537,832,450,658,301,591,832,864,772,297,288,632,664,593,845,767,557,
086,053,822,792,784,146,891,816,659,508,390,603,365,835,035,489,262,514,676,
409,159,730,364,893,710,834,775,205,599,259,184,825,002,178,204,898,131,790,
438,684,956,483,423,948,225,779,795,504,110,661,792,065,879,983,266,685,033,
287,350,782,555,729,994,568,791,176,050,505,241,396,549,246,097,498,562,990,
038,302,603,438,447,261,857,223,175,359,619,277,594,672,745,758,672,559,182,
565,793,455,961,151,587,594,213,116,137,637,022,605,029,925,280,416,964,760,
440,216,077,855,353,611,668,515,153,187,786,983,054,358,779,787,310,473,570,
967,471,644,225,516,045,882,079,264,716,685,082,434,022,012,421,829,524,322,
737,244,129,714,948,103,620,426,614,816,127,193,809,088,853,183,683,721,190,
635,689,031,667,890,449,329,118,899,388,271,647,014,827,206,983,804,750,881,
455,842,546,975,106,288,286,554,327,147,623,608,933,793,583,573,001,605,789,
405,167,800,711,882,624,245,148,143,674,533,661,333,390,996,791,558,720,235,
624,465,992,273,249,709,228,368,163,969,962,745,684,376,772,145,444,145,061,
044,967,634,636,070,613,351,308,931,611,065,175,897,498,962,654,083,276,778,
115,863,411,724,320,780,668,261,407,822,248,726,893,929,782,357,499,412,971,
352,933,683,917,093,405,354,300,884,606,777,525,338,523,421,689,279,122,384,
251,686,380,608,539,232,155,517,948,521,323,531,524,784,333,684,768,740,396,
748,168,365,103,346,833,243,879,657,483,765,150,446,073,394,165,198,240,656,
645,989,181,657,164,792,146,024,690,998,083,570,453,879,851,460,525,380,209,
409,404,237,338,016,128,213,380,607,337,291,553,566,280,261,210,425,927,598,
573,568,412,306,663,634,659,200,813,648,438,430,744,282,050,431,439,104,152,
471,199,234,660,330,896,309,870,011,803,467,614,277,208,818,472,654,821,407,
033,722,016,956,630,016,801,859,617,673,893,364,488,113,903,491,027,108,332,
465,008,342,507,198,330,530,520,593,737,750,454,384,638,016,448,991,852,724,
147,746,375,887,462,491,104,195,007,022,640,298,180,170,569,264,450,354,218,
613,454,163,510,030,102,534,673,402,569,126,942,074,187,769,695,774,338,030,
933,644,290,225,964,619,973,446,260,804,145,321,104,992,894,640,730,694,490,
997,596,142,409,716,152,147,801,875,298,346,855,643,415,429,096,498,642,669,
813,095,598,132,394,300,148,665,193,901,327,339,837,493,618,853,437,844,418,
533,835,748,509,330,542,062,102,894,226,080,524,053,288,697,586,944,299,571,
473,534,078,299,429,303,159,093,358,666,462,059,057,332,199,906,948,502,071,
825,149,300,109,471,177,658,283,102,104,286,212,328,159,115,740,662,544,467,
361,435,659,653,492,537,713,694,781,285,435,162,544,872,703,245,175,425,291,
335,953,819,118,762,739,673,778,386,664,057,411,679,040,462,282,814,465,419,
538,482,952,795,725,884,138,497,578,883,190,911,856,769,556,348,310,660,514,
747,407,667,566,124,209,914,370,610,871,166,084,338,425,990,023,487,575,569,
112,516,776,709,691,532,477,479,557,396,429,396,074,165,157,040,178,032,085,
339,165,945,553,304,216,743,478,876,128,861,536,753,006,736,201,326,109,372,
570,564,816,220,045,217,313,005,875,599,782,428,393,244,979,432,379,791,150,
684,428,873,912,562,294,213,472,754,400,940,472,343,015,788,330,513,773,572,
577,519,126,280,006,867,311,047,216,939,859,610,478,000,710,313,786,040,593,
263,902,834,153,374,674,082,686,099,492,129,977,577,106,010,351,004,174,774,
516,457,729,026,028,551,518,795,436,808,736,498,622,532,237,870,689,034,260,
030,087,994,401,716,458,507,119,002,659,043,354,332,475,534,767,063,306,150,
622,741,873,620,110,108,703,309,440,150,107,371,571,899,217,219,407,097,209,
885,554,629,137,027,140,496,241,418,176,861,962,222,015,054,838,425,484,142,
971,588,269,647,539,253,608,062,058,870,177,686,561,025,327,775,901,436,750,
131,068,626,380,453,121,923,558,632,980,022,258,786,121,826,136,474,125,513,
409,162,852,323,914,928,294,690,433,361,799,394,032,722,351,541,559,916,420,
083,053,337,436,483,396,248,535,909,493,208,470,901,845,287,230,296,461,673,
433,881,620,088,282,908,678,332,505,903,570,153,082,734,005,677,080,834,025,
119,882,390,483,433,999,912,504,251,205,505,076,121,933,566,315,895,267,493,
881,010,518,967,102,675,681,886,845,759,694,972,269,370,400,698,508,833,215,
011,753,190,430,540,239,642,603,399,135,824,750,529,053,251,441,726,513,168,
736,005,274,173,875,094,334,976,350,437,007,626,515,594,376,955,905,484,486,
128,836,186,915,279,427,251,833,349,618,390,193,553,435,809,744,982,111,833,
436,905,927,288,603,708,905,941,831,824,655,456,455,061,998,895,114,756,545,
581,492,117,065,370,611,988,647,446,718,568,085,766,468,608,642,013,375,437,
461,299,756,877,106,423,988,939,492,768,017,931,850,978,535,537,722,465,618,
324,393,125,742,239,241,977,428,781,329,802,457,873,162,073,424,396,911,712,
117,011,362,852,624,481,282,435,660,460,967,861,687,238,708,151,017,407,384,
661,197,528,490,930,030,007,853,980,362,189,984,988,366,067,556,927,533,224,
764,875,404,132,937,276,895,708,847,393,339,025,007,865,339,967,139,369,486,
320,969,715,502,929,786,108,732,643,122,017,233,307,996,453,730,031,825,568,
719,266,955,220,725,617,291,315,664,850,084,510,711,783,346,264,018,330,242,
588,463,258,553,516,830,694,555,964,939,074,260,889,227,368,251,257,106,317,
358,258,884,455,165,251,277,542,262,702,867,593,053,496,193,041,744,956,059,
324,038,831,307,279,905,380,763,411,604,513,410,448,029,799,743,049,679,242,
423,123,119,669,097,259,697,646,090,211,394,121,416,697,396,716,935,084,810,
619,311,114,441,851,415,951,509,882,942,041,318,672,082,678,783,193,375,807,
624,849,927,561,222,199,787,041,573,042,413,761,634,881,925,293,616,421,374,
850,964,797,281,308,656,686,406,583,547,566,480,476,054,353,837,543,546,876,
638,513,903,491,357,066,686,809,095,056,333,108,757,656,701,696,369,583,543,
139,209,884,093,498,749,853,873,815,995,262,663,864,887,606,952,990,352,123,
209,405,824,957,203,381,053,926,620,476,318,221,030,100,829,542,640,823,020,
728,502,716,834,521,210,998,171,551,258,955,245,587,234,592,716,084,731,578,
976,448,412,519,759,053,507,218,271,500,113,688,031,784,498,829,287,025,854,
847,588,042,159,229,760,803,615,688,079,650,852,973,533,217,889,967,068,889,
935,074,271,347,715,494,590,858,172,748,889,801,301,585,435,862,672,160,694,
968,474,654,577,793,151,436,687,235,511,649,730,565,894,848,197,628,915,876,
304,882,394,748,424,282,317,664,503,216,865,965,390,000,948,846,672,554,235,
145,248,298,515,466,640,272,932,514,343,932,689,499,646,870,562,915,010,927,
004,223,732,385,270,681,369,246,692,840,069,886,670,529,080,884,254,403,868,
009,059,337,211,258,910,619,514,711,901,747,469,609,247,014,034,882,068,742,
113,706,469,931,094,768,054,676,690,090,880,315,494,549,108,315,033,544,228,
723,299,577,270,549,712,400,443,318,257,127,879,258,270,214,161,020,986,922,
653,581,110,375,685,423,372,087,389,705,815,589,062,309,794,430,462,668,700,
649,275,199,879,297,015,525,591,045,855,392,152,435,630,208,627,830,162,226,
219,372,835,134,785,176,152,059,252,979,318,929,616,157,272,304,044,846,481,
659,418,372,182,862,638,814,456,517,382,475,471,072,771,966,030,052,234,878,
085,457,296,109,987,110,388,455,713,799,586,278,710,980,442,100,215,556,661,
422,677,999,349,103,786,866,328,924,248,862,359,982,552,312,040,139,504,052,
284,655,597,165,469,359,029,206,368,592,338,493,513,383,101,468,821,126,174,
261,580,119,432,103,524,866,704,390,660,738,209,269,403,609,252,346,651,907,
733,368,584,822,169,273,355,030,088,439,144,393,345,460,373,658,903,496,910,
339,583,138,846,573,603,673,418,775,204,737,686,936,772,822,541,393,662,750,
123,488,239,697,029,375,263,667,645,216,213,077,873,874,064,442,274,847,791,
476,822,620,865,208,496,811,898,709,234,176,476,243,654,781,247,781,740,186,
323,231,974,221,117,000,783,735,251,222,768,073,729,895,782,969,821,693,731,
381,473,282,407,388,822,065,799,623,704,969,633,702,399,108,624,124,501,113,
077,331,606,669,667,172,498,022,036,723,507,055,369,520,027,962,078,063,212,
865,878,567,723,878,988,625,317,117,475,416,176,772,693,258,334,198,017,472,
104,808,501,953,659,458,769,015,244,083,480,105,731,337,643,641,441,152,192,
081,426,676,503,889,157,734,658,178,859,769,991,588,610,525,286,745,041,973,
307,524,015,735,478,373,942,461,648,087,004,355,049,145,351,771,550,270,570,
007,350,035,615,292,790,697,773,962,544,331,007,093,781,029,262,028,650,581,
931,314,246,616,265,410,341,423,328,860,367,744,351,027,481,995,991,836,932,
623,774,004,061,137,641,564,772,753,407,256,110,655,217,970,112,037,195,912,
958,314,218,470,383,237,359,470,354,234,380,575,116,570,996,268,064,343,311,
530,277,160,256,466,993,477,685,908,066,359,947,644,151,584,552,506,770,279,
666,272,972,331,157,565,419,686,953,967,674,078,639,281,329,136,447,324,822,
227,162,957,420,738,933,504,296,398,357,098,085,457,448,995,626,525,057,364,
146,812,492,735,035,462,664,573,734,205,611,945,260,954,538,018,567,317,216,
244,086,126,160,817,762,624,514,545,959,339,574,802,658,057,172,637,686,534,
962,598,565,181,117,896,989,689,343,658,946,088,329,145,709,987,582,487,514,
475,331,212,259,044,991,166,035,264,411,745,851,096,739,908,765,499,242,832,
759,500,500,201,462,654,768,602,597,504,077,171,502,490,687,779,567,404,099,
534,061,457,391,274,112,852,091,763,013,843,732,823,386,687,846,999,394,063,
587,799,443,302,945,774,323,854,226,559,906,301,391,941,658,708,854,390,427,
076,672,728,806,045,191,592,423,515,825,239,269,941,943,656,307,908,921,608,
717,262,628,047,864,954,687,924,130,671,398,741,631,163,864,490,145,120,661,
446,717,272,934,721,967,706,913,010,548,897,684,180,950,192,041,799,544,054,
254,834,136,117,699,957,113,925,032,704,143,470,518,387,017,990,221,329,453,
387,900,804,535,787,081,410,733,249,921,399,643,841,765,983,129,251,676,098,
441,596,961,931,063,000,511,911,357,939,536,540,448,663,884,417,670,773,722,
964,498,907,155,697,037,905,085,764,560,004,867,792,093,521,459,889,092,162,
677,738,443,411,772,029,039,179,711,196,933,807,212,243,597,043,030,506,754,
957,969,370,193,892,404,406,043,346,177,042,766,850,557,731,706,725,807,075,
942,217,912,255,002,945,736,500,101,623,337,222,257,412,738,293,196,777,574,
235,293,657,030,733,759,354,910,379,934,469,284,642,736,187,693,075,464,575,
696,403,187,722,495,981,723,877,325,920,052,223,641,863,859,279,236,338,359,
974,128,470,079,357,604,171,953,823,432,872,528,947,531,231,998,559,085,715,
057,005,741,816,437,747,116,325,616,888,373,718,622,628,923,293,789,997,670,
700,438,725,761,711,539,819,794,153,127,622,815,933,174,533,819,949,412,984,
818,005,072,300,063,634,532,064,349,469,085,994,757,830,694,110,565,738,653,
194,747,714,563,231,106,196,375,870,121,819,182,444,700,896,287,615,530,418,
567,091,953,621,514,467,705,868,775,340,369,614,876,247,924,978,537,886,319,
785,465,233,982,771,750,157,232,013,927,766,541,507,424,851,653,616,956,063,
254,570,884,781,309,518,001,260,822,572,506,755,623,437,100,515,361,601,670,
813,215,787,038,151,757,532,734,391,091,964,369,287,105,818,342,472,892,821,
110,926,920,573,853,116,799,634,921,123,872,429,769,451,475,821,987,910,340,
478,429,668,051,865,206,036,728,866,355,665,555,587,406,045,621,674,085,004,
643,178,264,799,038,116,929,403,876,148,721,773,637,648,846,052,826,150,575,
706,493,030,544,733,680,222,384,552,168,946,395,174,353,800,155,334,387,451,
338,918,384,672,353,532,686,401,118,329,267,970,717,500,219,223,880,296,573,
741,907,614,444,482,009,297,752,059,000,943,120,842,735,160,831,176,972,165,
086,032,115,023,915,847,793,646,231,506,922,308,444,988,405,506,496,035,978,
668,182,891,486,737,069,350,842,234,937,675,583,475,327,825,728,145,567,964,
224,951,510,256,356,780,694,836,695,014,373,828,236,973,116,950,277,359,165,
779,482,711,647,376,874,721,680,333,935,126,393,311,401,368,301,114,335,674,
321,102,558,175,251,970,111,930,835,462,174,839,466,251,158,333,667,114,518,
086,422,990,731,862,656,985,189,668,312,651,511,489,884,833,348,679,717,973,
062,341,729,034,023,243,086,645,690,965,449,327,219,817,951,819,546,098,117,
229,957,644,944,828,486,022,722,637,223,708,757,619,785,104,434,569,668,590,
370,275,291,901,672,487,157,661,774,407,775,447,382,912,325,905,980,939,065,
732,227,010,601,896,583,868,691,066,924,823,387,141,393,631,180,135,607,074,
511,540,872,156,539,996,655,548,836,835,002,906,007,726,393,045,000,128,994,
642,943,497,489,226,634,569,953,309,259,055,497,575,745,782,380,738,014,810,
600,006,505,569,209,083,632,793,733,727,395,654,525,145,610,571,945,223,666,
920,531,669,048,838,492,019,082,162,123,380,337,511,348,258,364,460,927,099,
229,294,947,792,816,159,503,610,202,124,816,235,071,299,500,444,351,661,831,
728,785,272,974,465,726,961,546,194,596,480,549,470,141,337,416,477,480,880,
247,488,762,214,114,242,292,422,661,658,976,054,988,467,000,538,433,786,188,
541,293,538,258,136,884,797,933,638,440,092,248,509,505,898,196,607,968,359,
129,983,036,330,928,627,713,180,729,084,115,175,508,900,064,825,759,160,882,
407,164,456,575,960,760,399,893,938,237,173,648,003,515,510,459,230,507,655,
971,984,585,580,788,339,329,686,702,093,920,386,377,664,751,760,256,993,190,
773,977,977,982,650,067,590,051,217,519,971,585,375,254,120,587,291,953,431,
133,299,831,544,043,921,872,450,838,563,155,794,944,795,139,545,173,660,069,
594,326,095,080,526,474,707,780,773,588,454,993,929,914,076,628,659,183,642,
059,852,773,963,503,816,696,043,582,859,199,264,741,092,698,744,954,223,561,
128,031,618,116,161,060,358,361,498,979,720,976,917,693,222,753,249,942,782,
878,052,170,396,788,741,302,918,501,277,694,102,917,097,461,372,803,878,786,
354,919,095,028,012,623,624,744,096,479,902,485,671,155,210,778,715,493,488,
624,467,911,551,919,539,040,772,104,998,964,991,578,685,546,135,819,844,784,
522,302,232,111,046,401,555,904,075,359,382,513,824,447,564,349,631,989,894,
515,401,178,381,969,907,012,172,928,990,659,979,452,182,223,408,881,618,230,
825,889,144,419,099,438,833,114,198,793,502,135,381,161,318,319,211,129,641,
114,251,248,860,393,198,452,850,873,522,892,297,399,969,219,440,997,398,631,
403,047,944,746,701,092,907,478,594,678,970,818,744,609,829,239,186,741,540,
548,590,017,026,565,181,479,739,342,541,934,559,800,394,295,271,351,919,222,
651,695,744,639,085,120,604,745,521,103,035,901,098,946,436,841,987,415,093,
201,946,116,722,869,765,005,465,238,072,372,151,300,062,886,859,976,664,670,
790,871,968,421,071,240,041,771,803,335,916,147,840,823,956,082,998,492,926,
773,984,131,377,195,514,321,049,589,479,419,195,649,080,485,588,326,994,126,
544,390,214,851,160,299,585,999,664,846,904,041,378,477,079,264,608,036,031,
079,968,079,223,779,051,890,464,455,925,723,712,197,872,213,002,459,715,095,
428,131,779,693,368,976,728,722,400,921,224,666,863,131,019,827,928,694,088,
187,464,494,862,211,592,259,066,943,629,939,786,190,745,719,053,291,395,375,
287,144,750,485,694,864,808,486,525,606,831,453,226,904,934,276,295,525,198,
131,217,138,328,039,417,665,519,125,059,278,916,244,304,911,240,051,148,208,
473,146,663,746,187,861,792,988,486,837,927,661,518,358,944,304,543,543,906,
950,999,892,028,873,932,437,619,283,030,102,042,978,127,061,104,708,027,505,
839,059,265,829,974,660,182,374,062,072,147,688,341,606,920,811,781,495,203,
219,214,325,137,583,338,147,150,580,383,052,660,178,968,277,232,604,093,764,
492,223,818,827,386,083,883,557,365,100,867,191,543,599,370,818,237,867,913,
087,787,499,509,896,416,877,229,465,482,917,319,282,766,678,060,298,913,028,
705,777,084,127,292,828,595,027,685,371,955,309,972,765,210,705,371,660,960,
992,030,994,015,142,257,008,968,284,645,072,524,860,511,951,207,828,616,613,
033,635,198,907,607,111,453,420,676,007,989,441,035,539,582,796,754,153,369,
619,943,063,579,031,534,580,430,716,308,408,158,992,747,414,776,087,715,977,
919,490,267,265,733,847,735,951,276,453,772,637,437,023,636,411,677,212,934,
762,618,205,620,761,566,232,060,986,303,401,101,769,915,489,148,717,339,777,
747,715,456,532,391,827,984,120,033,079,042,595,095,553,467,551,646,375,900,
640,131,680,381,662,760,827,895,953,520,600,651,775,125,138,673,137,931,543,
676,974,835,045,313,438,209,522,209,532,712,021,554,642,862,526,194,069,328,
600,097,110,767,685,734,041,978,756,889,029,300,564,544,840,332,690,093,062,
968,810,286,027,087,082,982,075,175,166,052,210,291,482,040,831,627,775,523,
593,689,573,031,815,016,276,842,866,355,874,021,537,001,387,540,450,682,458,
056,386,359,695,118,337,391,454,961,519,027,881,798,832,779,194,556,943,497,
695,829,306,997,579,186,393,693,947,536,669,448,943,058,531,323,510,093,488,
059,254,989,389,859,546,149,817,870,621,007,985,444,250,634,248,266,418,887,
721,544,862,197,715,703,279,911,372,032,698,781,164,560,748,268,961,996,768,
675,480,288,217,833,808,765,377,357,671,913,897,538,318,026,264,818,648,319,
863,574,506,297,128,149,191,004,893,827,809,655,956,103,273,560,882,604,570,
391,358,607,862,810,955,573,179,528,620,737,556,429,682,928,082,809,635,677,
179,986,295,819,017,518,072,726,184,366,107,967,965,520,946,599,275,558,214,
473,623,308,530,603,394,738,551,690,416,052,092,896,369,233,589,791,241,889,
835,995,333,876,419,666,688,595,876,670,059,291,142,183,338,476,845,880,805,
984,738,319,006,151,010,968,973,589,780,883,621,198,613,086,636,086,696,194,
467,471,008,540,334,697,777,651,693,440,310,150,410,584,205,306,306,653,616,
470,495,777,364,278,540,103,648,042,707,077,323,465,265,028,776,484,418,296,
899,235,040,704,399,683,162,840,161,896,852,371,052,100,740,713,354,161,428,
700,338,907,118,101,863,093,137,706,672,490,029,848,951,040,593,190,333,957,
349,158,818,553,695,130,655,536,075,948,602,875,234,277,966,864,495,058,913,
177,793,476,502,929,513,191,176,531,737,286,546,448,590,990,203,736,281,591,
494,262,972,511,070,218,239,629,925,945,325,607,501,569,170,145,917,564,350,
667,815,342,984,393,419,182,403,164,055,341,658,515,367,509,484,044,572,789,
606,300,279,924,899,939,020,187,226,336,339,479,717,522,923,884,445,952,497,
860,361,781,210,183,874,217,041,223,974,270,217,749,523,020,722,937,622,084,
493,275,153,224,304,202,649,931,669,005,590,667,285,812,556,817,217,342,194,
277,079,825,975,935,308,026,352,474,337,269,491,672,081,126,331,199,148,098,
342,358,902,199,704,796,917,071,628,874,254,352,660,465,065,296,615,052,548,
440,737,670,945,841,852,957,681,696,030,067,438,863,852,032,248,976,999,631,
391,747,486,826,255,848,818,806,065,326,700,507,280,301,309,504,832,723,411,
263,210,663,510,139,021,378,348,471,813,502,652,972,372,388,369,120,210,286,
329,186,369,567,962,511,116,898,375,395,744,006,293,327,088,161,139,131,845,
805,637,849,319,599,116,286,849,325,024,922,780,010,008,870,827,466,355,811,
091,501,053,163,055,659,022,325,852,826,765,042,210,805,877,831,732,030,729,
913,361,759,024,332,960,796,625,040,601,213,933,639,886,117,469,057,481,496,
292,039,801,170,925,633,668,843,915,378,339,807,936,594,125,470,583,631,944,
592,247,851,762,764,922,559,483,530,585,710,023,947,400,925,514,135,832,164,
992,234,335,303,924,763,241,123,508,292,756,047,034,375,427,042,941,494,434,
836,009,269,189,320,136,832,058,288,884,595,044,274,056,839,644,516,354,055,
646,635,045,708,919,835,166,224,057,512,748,239,737,717,551,898,722,816,349,
594,477,501,258,485,898,489,578,962,039,309,232,527,455,974,021,336,587,905,
109,775,068,913,819,844,679,852,297,493,819,525,689,556,075,554,392,983,457,
062,474,007,645,279,367,240,696,808,206,654,749,215,831,157,211,746,337,696,
434,534,132,063,251,943,290,492,355,980,578,858,361,451,957,015,490,672,323,
047,330,512,693,770,504,179,925,940,482,550,280,961,987,171,273,114,970,652,
909,407,012,249,726,791,486,540,660,817,236,471,780,880,892,231,556,910,668,
315,256,120,951,929,282,769,674,895,325,761,602,567,620,585,034,659,566,739,
184,735,783,678,799,534,465,884,504,750,680,258,565,134,343,914,884,319,187,
007,597,820,927,603,150,384,794,004,089,766,885,314,447,218,230,256,291,957,
753,402,269,843,973,290,281,025,423,403,405,105,302,295,205,407,047,362,701,
553,596,873,069,813,335,910,024,363,138,165,683,691,149,599,483,503,717,649,
153,004,445,692,036,729,033,853,826,035,779,616,836,250,774,815,120,521,968,
348,659,550,585,288,509,991,140,010,981,367,621,621,556,073,538,701,914,464,
095,693,607,253,670,636,980,599,572,135,378,401,829,906,500,949,685,921,805,
895,835,185,186,054,861,947,072,707,991,820,639,420,648,461,366,767,527,893,
304,651,229,722,723,003,771,420,183,733,420,238,265,863,006,215,284,261,344,
713,836,839,689,780,624,652,910,880,815,232,158,790,994,996,841,468,678,894,
143,831,693,176,076,625,615,600,436,157,639,221,323,384,529,961,332,780,162,
361,867,363,918,539,918,192,224,348,592,734,740,183,608,642,833,305,062,612,
531,481,342,112,249,586,640,471,002,661,819,656,508,035,131,574,463,470,468,
458,937,616,040,949,916,870,977,636,570,893,108,863,935,972,995,860,106,375,
289,183,668,138,644,689,288,244,400,411,393,631,943,703,022,586,831,562,042,
837,112,152,999,923,559,491,193,229,737,363,660,736,428,708,409,575,556,975,
242,161,991,692,546,285,249,670,187,143,290,776,610,459,896,066,999,525,163,
755,770,445,738,860,110,368,445,609,839,160,105,926,821,432,195,575,738,755,
034,495,957,658,288,985,864,084,408,906,380,924,006,497,389,483,512,792,021,
007,019,365,047,683,671,256,492,064,641,615,634,774,524,969,926,364,235,784,
573,043,217,649,629,615,048,019,753,196,852,566,037,137,068,337,410,501,518,
720,957,493,305,824,654,180,272,270,296,691,562,354,910,379,968,175,491,438,
037,105,427,490,193,090,390,571,694,590,721,947,748,726,328,787,838,619,061,
372,462,087,548,558,350,285,280,087,914,822,815,875,089,719,099,119,917,621,
007,841,860,881,547,576,320,152,671,985,440,500,680,303,247,032,069,044,442,
293,032,411,729,094,624,058,513,479,663,320,407,696,281,991,014,507,982,331,
012,258,932,814,422,541,578,063,025,460,945,638,565,418,929,674,145,684,487,
528,812,288,389,426,588,214,241,505,941,103,132,974,471,990,424,364,051,967,
998,343,484,519,851,709,949,398,545,514,584,687,539,816,776,726,424,654,481,
434,482,446,423,486,618,704,226,820,238,272,942,270,882,914,065,251,969,842,
168,530,104,767,383,463,455,386,554,788,847,699,213,754,592,682,735,092,337,
624,388,759,147,850,082,101,480,412,703,545,880,064,138,640,079,493,556,107,
682,915,985,799,228,258,693,875,203,449,731,738,866,215,628,487,912,106,912,
063,051,768,291,252,440,554,157,920,762,195,796,262,536,212,039,071,203,825,
449,606,440,189,349,247,972,600,934,935,893,534,549,936,662,125,801,341,496,
873,978,082,029,997,204,772,600,324,679,254,394,383,671,953,743,887,101,980,
023,456,092,417,066,262,575,590,964,418,060,666,854,912,278,534,980,869,754,
695,738,785,848,648,713,874,558,411,984,191,165,360,664,139,123,821,722,943,
272,725,915,830,840,685,291,318,435,075,196,915,672,840,239,717,230,659,179,
546,086,271,439,598,959,424,882,008,570,273,784,285,720,889,656,790,289,955,
524,906,732,414,241,168,907,595,780,049,090,241,613,130,779,317,331,020,770,
625,069,759,985,578,944,094,472,950,495,072,537,351,906,821,458,733,576,759,
553,344,519,085,671,783,967,276,122,077,900,963,079,676,865,411,284,063,786,
988,691,409,223,982,074,911,485,371,319,551,200,975,015,324,080,292,143,757,
242,082,944,660,378,686,614,346,349,147,887,211,930,201,639,539,520,179,774,
634,910,815,621,370,369,905,550,060,983,785,897,322,570,454,485,808,070,911,
958,612,970,979,648,691,669,195,219,887,902,023,641,705,254,793,133,328,596,
201,914,141,932,270,642,871,900,297,109,194,863,100,678,140,549,509,799,150,
933,716,077,464,100,062,500,007,744,131,974,171,140,943,635,676,798,500,251,
089,162,105,936,109,549,287,352,474,190,217,014,051,357,406,832,680,865,101,
016,846,565,945,541,869,268,797,832,721,891,353,210,443,039,847,680,064,611,
248,243,814,275,241,005,144,429,201,974,366,122,796,882,533,978,396,892,071,
979,778,944,228,801,562,937,627,547,796,993,272,803,402,554,872,537,642,190,
163,904,047,708,031,059,532,888,005,107,254,888,665,484,196,334,829,029,994,
546,974,580,048,502,836,760,457,159,829,514,860,475,248,357,538,792,824,781,
487,901,840,080,791,970,399,032,557,507,791,385,473,988,389,245,735,327,337,
193,474,931,634,290,689,971,834,556,856,184,290,486,611,572,997,138,823,949,
816,929,395,827,331,015,936,434,424,118,697,149,017,187,383,597,060,638,761,
064,621,832,486,728,249,233,736,571,154,816,159,291,024,259,056,353,732,451,
854,601,525,514,559,082,766,337,479,700,626,715,432,795,822,866,543,091,300,
177,930,043,033,026,685,992,157,415,357,439,009,075,589,898,175,419,997,839,
944,815,376,324,224,544,321,429,007,986,786,917,562,512,048,559,270,933,874,
154,303,384,250,284,179,754,821,199,511,273,648,730,769,454,224,239,941,059,
083,988,033,757,303,120,692,695,104,646,620,263,893,574,135,281,420,659,931,
847,414,377,765,967,823,006,399,880,377,639,586,767,435,521,644,878,566,511,
332,889,350,501,764,311,523,739,258,099,455,413,615,620,355,054,404,408,554,
110,661,636,002,924,323,624,636,043,503,614,299,949,520,620,051,966,336,335,
921,970,120,243,862,488,108,162,917,530,173,227,978,738,908,146,866,884,715,
035,980,026,094,675,921,452,317,567,981,153,440,034,463,112,266,152,644,796,
755,457,774,618,117,911,736,012,902,902,885,693,196,900,315,747,288,371,972,
252,051,134,824,076,934,322,080,195,762,645,764,429,163,685,072,939,225,990,
433,692,881,982,932,947,970,798,684,793,413,312,889,990,245,379,999,508,698,
575,824,678,583,662,026,403,587,209,515,783,911,975,976,504,009,461,308,160,
803,194,925,897,183,284,782,896,663,305,774,099,233,346,122,287,670,148,400,
981,314,338,302,015,326,013,226,157,510,383,690,784,763,861,428,725,422,224,
244,310,890,292,629,030,949,669,712,665,066,208,056,192,430,872,430,475,837,
483,016,543,048,892,844,378,316,023,637,156,029,629,403,715,974,055,460,781,
184,773,309,736,925,817,522,671,089,206,332,767,104,502,848,456,666,327,809,
119,372,503,950,064,206,703,990,204,901,553,104,688,964,861,522,311,957,410,
865,153,338,604,102,945,474,909,872,624,724,692,320,778,284,201,690,971,105,
153,854,452,296,194,678,111,166,216,441,400,140,494,906,369,279,305,851,450,
236,126,207,115,353,168,585,626,066,166,684,723,636,011,384,360,339,250,768,
369,293,749,918,903,062,026,435,715,395,920,695,056,025,993,564,044,412,094,
894,895,134,436,544,477,565,312,520,501,614,978,874,928,316,021,120,869,011,
551,028,061,211,780,984,303,439,190,574,433,646,184,743,640,526,918,088,531,
823,989,510,041,987,226,878,873,379,817,626,492,377,592,437,765,637,585,659,
913,493,927,837,625,675,396,165,186,734,460,128,756,672,650,081,332,335,100,
057,089,292,909,949,602,245,960,954,625,893,968,682,786,974,712,817,587,597,
789,059,258,985,551,357,603,653,487,886,105,024,620,981,545,267,792,722,065,
983,978,815,540,911,198,546,767,075,630,521,474,047,528,956,286,787,007,475,
593,014,443,413,350,715,906,647,083,133,850,695,558,120,338,285,894,947,653,
360,961,986,851,333,457,001,953,182,844,495,695,404,424,603,784,556,050,157,
234,041,755,073,664,328,650,185,901,163,949,100,206,873,556,673,782,309,329,
805,336,337,766,685,379,231,656,608,238,811,706,364,335,987,258,773,810,332,
195,652,237,444,442,476,625,689,186,255,733,048,719,568,650,381,120,772,253,
009,175,469,033,953,115,064,909,101,916,545,715,549,898,491,458,183,268,185,
331,778,964,555,326,017,608,625,366,661,104,746,358,875,528,709,536,075,335,
669,692,131,940,853,294,701,038,338,193,788,447,410,979,756,445,334,324,367,
418,404,530,104,083,381,957,933,269,012,920,670,878,414,249,117,613,547,319,
821,107,541,429,588,419,409,786,550,626,167,807,125,846,848,498,196,223,701,
562,427,664,053,970,878,269,964,491,781,329,984,641,432,429,132,006,223,974,
772,332,857,280,276,436,267,622,007,214,784,885,741,089,923,131,317,884,597,
417,332,662,907,300,834,860,692,675,157,439,944,745,784,086,364,184,386,700,
971,726,964,519,865,335,572,779,539,514,082,098,440,469,980,966,390,416,437,
327,235,534,723,892,453,009,856,969,476,989,043,164,417,029,967,149,617,185,
178,090,191,524,447,668,962,319,434,246,233,463,037,680,232,371,903,510,807,
040,929,434,452,137,021,347,189,968,413,039,386,232,080,457,502,628,194,407,
819,510,149,494,366,888,625,651,146,917,553,576,311,061,155,260,149,644,253,
647,976,774,745,133,102,347,680,088,340,799,822,346,449,712,134,072,415,448,
887,430,780,804,539,363,516,274,984,033,348,427,991,836,253,092,886,927,386,
456,740,040,001,199,936,267,306,828,117,300,086,964,450,547,089,969,011,284,
656,336,525,538,525,905,969,430,832,783,682,833,398,062,298,666,707,684,010,
828,784,216,237,849,113,199,761,651,177,550,295,496,362,217,801,500,356,675,
477,175,492,718,715,491,209,661,132,171,912,315,402,003,695,041,228,102,124,
085,524,942,258,032,690,803,170,881,919,256,581,346,180,396,282,662,458,752,
413,226,003,274,421,089,119,001,267,941,086,369,390,574,869,941,732,303,683,
943,613,725,265,902,716,139,416,931,460,796,050,674,763,413,361,379,180,804,
704,531,524,708,325,499,052,093,339,671,721,799,940,995,288,278,279,081,581,
184,347,479,581,361,921,063,462,952,058,295,286,292,484,488,720,136,402,255,
814,377,994,718,320,720,151,138,494,870,593,615,031,809,655,519,977,131,784,
657,205,251,773,459,888,516,946,312,825,219,330,970,081,488,897,523,334,602,
554,372,821,560,946,213,117,156,228,049,297,406,652,039,011,133,153,677,135,
033,787,022,936,147,432,461,438,189,694,191,475,647,802,385,766,027,450,024,
139,611,602,207,607,514,463,295,835,569,576,742,441,119,870,160,916,195,007,
520,944,682,360,158,890,278,034,624,006,937,339,667,136,953,542,998,206,954,
659,536,130,724,498,174,752,137,753,356,597,264,008,044,013,563,008,890,109,
007,353,892,390,899,809,540,504,425,629,866,737,845,643,697,198,803,417,691,
004,308,182,968,688,790,568,979,084,135,198,069,102,616,074,829,266,719,281,
113,636,734,091,824,426,216,519,803,972,344,462,893,834,765,323,521,565,815,
114,779,190,560,949,143,276,451,993,485,983,203,200,755,487,083,907,336,136,
843,324,049,185,422,462,876,430,807,311,586,476,452,588,431,454,841,663,300,
317,722,990,493,847,110,579,673,091,259,972,612,569,193,709,964,569,219,659,
026,513,323,417,789,654,451,902,837,201,017,496,967,077,643,558,349,151,139,
824,756,648,625,455,558,957,266,487,723,544,252,551,905,265,636,911,173,656,
292,095,511,866,627,493,555,667,361,862,860,343,877,084,107,550,681,893,716,
702,579,848,194,020,868,645,738,755,687,380,916,006,618,671,581,750,444,039,
924,616,508,331,016,600,386,604,576,185,513,407,779,429,103,300,566,147,296,
406,217,311,816,763,459,000,236,441,512,097,860,540,266,542,600,174,945,160,
246,393,815,652,869,212,668,859,132,553,055,713,145,429,317,138,264,644,549,
946,746,602,336,717,930,701,148,046,778,026,466,596,863,072,426,404,630,744,
838,181,248,697,073,074,719,720,973,034,198,208,402,872,380,344,885,041,773,
847,385,846,608,284,322,548,664,569,878,659,244,318,918,155,650,038,453,126,
316,420,881,965,727,454,478,597,256,281,600,423,592,000,425,450,224,761,121,
855,723,578,261,271,432,476,664,334,841,364,504,844,125,483,503,401,503,802,
523,481,862,275,388,769,598,864,609,663,018,414,277,531,922,031,372,218,286,
724,977,165,135,024,784,587,889,659,843,443,519,877,697,637,115,259,599,051,
925,052,578,910,015,444,393,320,930,679,515,436,974,330,702,109,078,400,245,
322,600,739,834,006,866,897,279,472,612,229,029,791,370,579,991,139,292,402,
702,329,704,015,926,268,698,683,052,966,112,869,838,232,460,493,349,794,001,
952,236,711,875,437,748,735,492,806,271,223,895,755,840,699,755,069,125,771,
617,499,313,998,365,512,568,557,060,546,954,959,463,033,119,931,525,476,447,
964,583,390,762,287,782,090,387,197,099,198,341,052,757,425,574,675,503,409,
791,067,832,829,848,719,851,186,602,187,426,262,324,113,709,275,040,836,928,
243,464,269,925,298,734,150,565,044,151,513,041,660,171,483,022,405,701,728,
778,415,535,719,396,573,505,200,298,805,545,327,447,653,585,160,218,235,773,
818,129,835,655,457,847,843,672,158,569,353,908,850,980,796,671,042,955,422,
627,043,652,134,697,146,258,121,096,157,216,098,865,985,648,745,971,792,869,
620,379,402,226,962,736,209,475,218,509,795,401,467,995,843,625,906,545,202,
345,943,439,779,432,409,886,930,991,958,625,079,159,705,888,791,847,117,549,
226,856,074,664,639,796,242,122,040,816,659,639,151,607,046,402,042,958,530,
853,793,192,602,938,335,855,506,081,237,005,249,196,548,462,148,406,885,618,
725,701,205,497,983,388,625,372,237,809,988,583,211,037,517,890,802,033,777,
185,092,711,045,302,534,609,630,844,437,856,199,340,860,259,466,616,937,118,
969,535,803,255,998,231,058,479,766,825,028,681,448,804,196,729,026,063,986,
587,607,148,863,752,914,878,819,457,485,526,730,235,284,719,352,512,620,761,
212,266,085,779,494,786,528,515,901,087,790,059,591,186,158,673,557,425,513,
791,525,109,797,884,569,226,279,136,430,335,758,746,929,844,992,844,518,756,
776,743,550,006,305,241,582,821,705,913,827,885,863,262,613,023,774,677,850,
790,035,790,203,378,959,579,962,928,514,390,470,696,846,720,430,969,799,919,
014,168,000,304,196,796,257,223,779,620,520,959,669,081,746,400,820,048,385,
642,752,408,898,615,974,686,960,889,230,321,106,121,398,514,443,801,433,555,
689,402,833,077,550,116,159,995,875,005,037,280,716,445,947,915,704,745,226,
828,870,051,365,146,663,982,589,663,907,844,223,939,396,773,000,601,878,964,
199,815,410,604,826,677,247,102,868,152,503,276,556,041,278,256,156,689,721,
771,888,578,513,110,409,233,402,948,379,800,592,460,661,764,752,529,346,174,
830,748,015,783,214,372,945,602,499,874,630,017,968,892,808,587,527,432,629,
068,212,837,959,761,539,856,164,140,445,609,929,108,686,161,782,103,753,259,
451,939,870,870,485,208,984,062,524,530,241,888,909,384,528,377,701,801,317,
642,065,628,372,418,209,860,652,056,211,916,368,009,943,301,034,979,146,102,
879,909,181,266,355,404,110,750,617,023,206,349,514,780,066,272,644,840,106,
102,770,881,217,800,272,221,397,054,647,204,820,102,871,847,391,921,005,774,
933,396,755,710,893,138,942,898,587,511,965,903,230,179,412,687,755,988,499,
012,721,805,077,836,687,316,808,677,171,171,573,664,236,838,100,631,558,890,
725,700,777,198,833,363,352,503,962,106,871,731,389,298,316,786,699,078,708,
782,365,210,761,478,387,838,479,572,006,587,529,394,039,856,278,254,067,860,
458,950,631,233,393,416,704,977,969,177,084,681,556,748,013,090,845,134,238,
103,600,012,737,545,483,400,599,310,346,609,697,186,511,669,439,411,882,634,
763,998,951,543,222,346,404,542,808,006,174,369,687,222,901,890,167,174,472,
895,761,132,740,135,164,785,391,317,105,449,180,405,810,431,869,612,053,867,
980,746,773,554,149,229,812,358,732,052,967,319,749,716,030,501,160,382,931,
106,420,973,393,311,763,602,048,617,678,711,925,529,081,075,807,396,842,161,
746,136,603,049,136,880,606,327,431,476,278,212,113,151,837,430,864,349,536,
182,498,770,968,170,418,465,050,766,977,113,222,203,771,503,160,139,732,407,
956,668,267,077,618,269,305,828,412,816,519,820,682,559,421,354,965,727,940,
033,861,546,932,481,481,809,056,502,068,839,409,103,239,304,281,680,904,336,
944,094,498,574,037,019,429,849,125,081,251,173,761,772,186,709,336,469,336,
082,013,772,826,882,450,988,195,073,220,289,714,218,523,394,975,429,818,767,
922,906,249,368,219,354,444,978,014,134,311,138,247,712,423,591,566,059,048,
852,935,307,919,253,436,002,766,736,119,673,187,363,996,108,901,864,635,604,
389,997,114,037,094,352,296,422,594,760,703,941,747,045,894,681,596,506,976,
153,160,459,520,409,614,492,897,314,849,683,459,080,719,640,408,115,591,091,
400,251,297,772,746,961,459,413,570,927,029,896,780,822,741,249,505,689,877,
076,375,321,390,262,910,951,203,186,369,862,260,758,360,161,059,189,781,018,
255,808,854,505,550,664,485,629,137,502,741,500,600,965,437,297,380,016,954,
909,027,269,786,033,652,027,725,313,836,856,413,623,762,238,612,439,970,830,
634,502,321,361,752,435,888,315,358,633,098,239,462,339,288,114,330,327,460,
266,930,762,915,034,130,137,407,807,426,836,392,026,373,219,591,273,517,686,
441,027,795,246,409,814,120,048,223,790,839,350,425,392,976,477,710,482,315,
489,666,740,294,494,903,377,146,640,147,941,468,795,895,588,878,749,829,008,
930,220,688,680,941,778,902,724,988,313,133,932,833,831,293,214,766,828,297,
781,032,554,965,554,940,769,853,347,408,446,802,512,887,311,820,710,690,822,
122,603,543,303,069,117,253,484,789,030,940,246,197,441,932,135,902,940,364,
719,154,460,993,733,535,965,233,843,874,282,609,573,244,889,805,649,460,255,
809,259,830,992,779,437,245,485,077,708,266,006,083,733,897,510,608,408,933,
478,662,764,361,447,512,975,868,988,288,384,503,101,207,760,915,892,746,009,
334,726,914,234,173,954,235,188,795,309,966,958,618,164,094,119,654,436,418,
408,785,439,515,163,008,832,142,676,328,860,779,814,430,766,940,669,880,427,
849,636,906,923,684,860,319,211,311,691,889,694,950,681,980,242,586,126,707,
440,471,574,550,355,155,059,124,222,018,882,590,678,875,213,167,267,983,290,
333,079,684,767,544,563,960,438,431,354,376,475,061,764,362,154,410,652,850,
071,390,519,179,671,839,989,312,944,157,670,173,559,816,177,367,328,577,595,
015,403,093,474,923,306,783,008,270,569,844,895,277,339,341,992,966,504,390,
432,834,627,492,212,502,370,454,737,268,884,798,665,903,210,357,225,371,749,
869,477,141,198,920,701,546,401,479,068,025,974,440,797,077,583,148,412,550,
367,967,050,325,050,038,126,703,885,455,257,506,765,806,379,988,606,614,844,
643,619,295,019,413,557,031,099,723,668,211,660,869,750,088,571,679,649,666,
886,776,341,722,255,189,582,481,888,942,542,148,098,954,619,230,515,910,936,
495,975,252,624,805,109,411,359,046,643,745,146,523,419,590,939,348,958,235,
671,018,330,515,454,750,621,830,023,423,947,682,735,532,040,942,080,165,689,
382,707,013,362,436,549,221,625,238,311,427,884,652,609,256,174,873,917,433,
940,259,140,546,798,913,263,837,715,218,606,274,804,755,569,295,115,384,325,
550,229,608,355,012,267,292,065,266,763,686,822,660,567,640,382,439,617,353,
475,325,275,434,318,522,959,789,681,135,598,129,961,027,793,354,105,026,500,
060,444,422,217,231,000,266,658,577,865,905,017,128,703,306,679,612,982,209,
623,397,670,801,598,736,764,400,811,894,021,286,427,117,803,516,580,123,102,
085,825,674,988,998,849,846,979,559,726,339,118,113,533,507,760,159,285,439,
378,116,509,865,097,856,941,290,919,387,663,263,669,084,350,092,086,366,572,
148,558,353,125,309,440,536,442,612,067,764,262,573,613,050,372,764,976,749,
959,830,110,318,290,439,414,909,433,764,712,749,162,194,148,662,360,190,719,
832,078,732,733,571,625,977,393,679,762,447,815,593,174,416,121,336,615,634,
419,097,731,447,943,707,910,785,733,867,012,011,193,596,429,532,657,112,605,
089,763,658,011,612,179,934,296,941,239,917,125,350,579,524,762,003,335,094,
962,885,131,533,150,292,111,103,897,281,934,422,742,303,013,741,966,538,276,
879,964,785,109,549,692,798,852,648,076,545,180,272,167,752,670,130,365,179,
612,675,057,922,828,104,539,010,444,778,983,763,481,157,955,015,675,172,951,
553,323,263,750,063,175,472,417,337,132,317,340,544,282,517,016,439,873,489,
363,961,274,206,080,303,840,419,491,561,249,671,748,045,181,723,484,103,237,
671,420,998,390,393,446,920,639,494,890,968,666,813,045,189,334,755,163,137,
939,550,339,203,065,663,644,966,529,127,415,038,237,007,655,046,639,163,975,
103,435,559,738,517,078,978,864,026,767,663,185,631,626,161,270,640,241,835,
475,627,391,786,510,623,109,015,789,270,937,606,528,931,205,696,244,340,306,
862,225,932,973,391,913,829,114,889,724,740,205,870,973,100,779,290,425,383,
695,258,575,584,808,901,207,615,289,099,248,806,451,202,005,754,849,170,734,
801,953,750,960,374,608,966,704,347,517,230,425,514,861,365,969,813,427,876,
091,134,167,002,270,047,486,150,777,218,102,327,167,281,881,909,176,234,724,
497,831,754,261,866,399,909,654,573,108,875,401,782,011,824,111,528,551,026,
245,161,017,229,592,015,705,213,248,045,541,437,862,559,416,343,244,639,192,
606,071,593,010,759,621,682,030,457,768,961,328,174,830,342,549,176,505,067,
416,999,636,911,590,370,626,898,671,073,368,685,786,410,380,643,386,011,972,
090,205,953,614,368,752,411,861,163,419,600,039,947,717,593,167,047,145,473,
168,154,432,984,419,653,748,036,425,875,228,921,748,597,958,783,160,101,078,
865,008,747,819,552,271,359,458,692,616,019,018,406,585,398,987,607,886,742,
705,116,307,610,672,047,347,223,026,567,779,830,393,622,967,868,134,249,509,
767,677,442,239,419,748,796,661,931,787,343,190,775,992,595,590,704,467,298,
319,590,230,637,516,871,325,900,322,184,797,782,083,948,090,385,231,063,759,
218,920,032,342,009,196,002,702,712,288,986,947,780,661,432,084,596,353,311,
285,141,993,748,685,760,392,943,067,597,709,932,607,332,078,229,567,895,291,
038,626,289,870,803,159,793,009,810,531,130,182,642,911,655,541,911,033,825,
159,847,206,161,256,965,364,842,779,942,054,813,439,958,404,130,124,178,000,
177,874,161,705,329,837,608,855,359,434,034,518,807,028,058,534,018,164,553,
226,056,203,713,090,595,689,194,751,148,575,185,162,702,439,107,183,730,611,
692,506,551,735,789,043,518,132,622,846,753,968,464,602,523,161,081,265,031,
625,578,511,764,125,442,550,677,116,895,098,495,148,937,745,016,875,654,462,
526,880,204,106,334,574,865,321,390,357,208,777,868,221,264,224,083,776,692,
944,165,705,646,370,622,459,057,754,968,212,851,249,251,763,625,904,076,447,
933,473,358,057,207,385,290,153,313,777,705,416,085,776,819,111,738,503,887,
077,403,191,870,909,995,207,487,117,795,063,314,816,615,143,495,724,857,247,
536,748,456,334,489,587,483,316,726,995,015,012,362,377,806,791,536,337,815,
353,359,579,176,057,316,683,193,099,547,165,478,400,148,367,271,604,789,496,
351,997,917,905,500,869,553,606,412,419,476,616,151,465,860,988,560,475,973,
013,760,936,757,212,168,786,488,644,248,665,023,136,674,944,905,491,617,785,
845,332,195,114,459,848,863,794,585,517,551,694,055,498,931,210,450,045,253,
608,094,417,922,813,098,122,357,273,316,787,439,146,803,677,249,046,639,988,
824,443,117,756,685,237,612,570,381,166,975,117,877,858,580,318,404,835,392,
432,395,427,111,622,861,103,019,950,884,262,935,621,777,439,572,127,474,599,
239,967,951,069,788,618,884,816,113,473,088,075,673,627,277,867,282,544,998,
352,881,032,946,483,705,866,660,487,776,917,328,626,343,111,785,209,387,339,
025,597,258,438,019,901,714,003,111,059,466,127,365,743,908,951,443,894,362,
273,009,914,675,504,251,465,024,177,344,850,599,598,063,588,398,632,456,497,
066,589,827,873,250,536,400,716,820,478,525,848,107,919,312,117,411,603,480,
621,004,329,235,892,445,461,548,995,597,917,220,968,705,817,870,775,269,822,
363,213,404,281,488,141,487,336,583,855,392,301,641,671,161,688,505,812,103,
996,423,871,346,684,751,553,564,089,108,088,491,468,736,774,033,574,845,595,
312,214,550,049,715,883,864,077,528,193,814,474,502,619,138,391,280,823,153,
421,398,982,283,499,604,294,221,901,936,162,287,027,474,177,830,368,811,383,
682,901,986,734,883,174,288,927,104,788,798,015,268,904,423,581,568,695,902,
077,178,172,533,476,021,368,182,663,472,655,666,135,614,943,512,668,150,530,
070,666,085,761,872,826,021,370,605,643,288,398,165,302,382,639,253,317,723,
211,781,280,398,340,830,118,200,088,535,837,618,704,705,075,057,169,952,583,
227,178,578,354,792,210,355,441,488,681,223,230,010,118,832,908,334,861,109,
512,491,444,131,934,460,743,378,461,446,645,983,452,177,732,509,006,031,696,
222,355,319,588,663,473,678,445,197,767,752,812,227,930,139,287,001,249,094,
678,330,342,667,417,656,089,095,876,149,162,482,843,994,654,802,738,691,815,
416,315,868,186,718,613,351,558,798,492,561,884,798,305,823,166,906,825,018,
108,788,809,741,005,747,569,980,137,585,782,371,238,056,873,038,682,873,045,
089,211,785,576,479,305,289,855,801,909,788,574,413,019,610,543,269,323,895,
088,596,101,324,855,516,223,539,003,252,106,740,027,866,477,162,406,605,855,
072,807,343,784,437,490,591,365,002,224,245,316,553,073,617,722,726,635,171,
544,341,034,961,123,056,613,680,270,091,841,360,534,482,478,130,211,838,758,
702,594,801,122,416,270,882,907,914,191,112,841,054,136,093,689,042,288,058,
333,620,298,938,066,696,465,535,017,096,867,349,632,593,860,757,893,030,682,
839,148,701,934,696,507,809,830,626,793,749,935,373,211,969,115,558,698,268,
925,424,583,159,161,213,547,761,165,397,990,362,500,584,632,717,663,757,955,
915,207,848,653,940,037,857,439,133,007,851,979,838,246,302,012,481,876,678,
628,913,377,578,520,397,705,761,532,382,110,877,741,347,517,981,478,058,048,
296,429,379,090,725,996,743,434,214,465,763,997,870,653,766,646,852,322,492,
693,977,195,473,048,188,348,664,801,166,032,916,064,185,664,146,172,192,441,
866,074,787,290,986,498,835,767,573,280,110,465,597,178,736,112,415,408,434,
718,424,648,640,717,386,293,216,606,667,636,664,555,514,017,163,444,425,663,
579,685,817,232,794,060,284,702,985,600,349,569,933,378,321,311,665,275,737,
971,277,094,384,081,364,259,869,258,325,379,174,553,374,674,669,763,710,564,
752,977,308,169,025,939,667,532,019,735,845,973,533,229,303,460,171,652,770,
943,723,880,438,925,556,539,920,933,710,337,523,806,970,865,985,020,834,228,
722,789,236,376,782,236,118,629,272,689,980,510,942,423,298,466,402,629,768,
814,711,323,471,861,915,980,545,693,732,408,499,985,616,079,522,613,252,830,
628,779,103,375,743,999,650,103,654,875,626,103,210,541,971,040,079,248,220,
908,728,118,713,047,980,625,532,748,098,485,238,981,632,473,972,114,724,924,
634,033,932,764,212,209,449,307,508,452,471,778,300,384,056,759,712,114,094,
717,968,923,697,739,407,231,428,687,521,858,325,344,715,790,638,064,113,720,
632,331,464,504,969,102,432,316,271,287,444,332,011,344,513,027,150,520,143,
605,999,219,731,730,172,401,434,798,028,684,793,349,113,381,728,227,217,053,
240,941,480,769,401,480,443,810,244,738,715,182,931,625,770,117,652,235,746,
748,756,052,588,982,989,296,753,373,971,689,432,448,249,174,914,411,465,245,
464,868,053,414,179,659,925,880,092,118,465,765,046,303,183,274,421,741,316,
801,896,322,751,975,815,790,111,045,183,267,683,253,706,482,005,612,810,304,
902,415,788,739,298,885,769,613,508,236,937,797,537,799,107,371,889,447,468,
053,981,750,723,895,538,835,161,334,067,723,992,379,696,374,489,349,524,212,
174,067,024,881,920,999,597,741,491,837,069,998,226,401,680,633,066,301,743,
264,678,481,667,117,819,112,424,298,299,289,123,475,701,026,749,445,619,721,
001,450,765,636,491,131,457,771,535,070,943,993,419,585,724,824,414,183,616,
824,489,358,033,770,410,675,618,880,841,560,017,440,696,080,415,013,207,938,
850,658,388,071,582,206,129,996,472,782,990,231,014,225,201,162,215,773,462,
734,496,580,305,226,931,896,251,413,943,913,031,121,637,648,095,142,287,551,
132,011,478,946,397,303,902,039,992,354,895,853,866,847,563,059,988,269,455,
070,017,394,921,057,852,809,813,497,487,010,294,454,404,354,943,938,686,784,
669,988,049,285,335,067,321,077,460,864,164,716,570,748,320,669,951,199,480,
529,122,527,527,154,284,872,114,128,151,090,372,022,632,227,613,141,089,113,
699,264,297,600,012,060,149,859,173,178,128,623,374,514,753,885,413,962,422,
749,782,039,207,261,181,194,551,785,299,700,280,032,884,446,636,044,522,287,
432,941,404,886,124,838,712,325,548,277,284,125,317,120,845,116,291,498,905,
659,942,170,700,291,842,324,439,390,193,328,706,252,940,587,783,832,305,411,
181,238,168,069,252,078,022,843,031,540,635,934,515,260,672,634,934,563,625,
161,848,047,889,435,120,363,048,340,772,784,799,772,826,425,026,282,771,825,
670,857,964,268,696,573,547,594,941,553,791,741,954,404,634,696,867,500,350,
563,365,339,286,721,806,507,307,368,494,118,511,964,479,546,563,935,121,175,
670,633,941,272,106,886,198,362,395,003,337,319,718,316,285,765,636,214,164,
724,911,963,387,461,724,191,448,925,345,307,182,866,210,686,123,019,379,827,
758,122,058,474,235,046,803,728,189,835,611,060,255,239,166,098,570,148,034,
489,707,303,932,305,675,148,434,154,446,007,570,258,289,859,497,444,957,130,
835,578,353,425,854,915,783,597,538,012,336,195,348,694,265,627,402,410,328,
549,932,205,511,823,140,672,236,884,331,156,971,732,803,071,661,032,947,848,
996,068,182,489,412,450,338,901,603,032,009,727,039,735,382,926,307,972,366,
329,139,955,536,528,452,139,032,347,124,088,666,658,727,169,880,094,597,115,
806,525,010,473,594,695,324,174,493,447,302,704,226,405,088,304,224,746,769,
334,210,413,397,790,515,026,355,255,097,505,713,218,264,203,996,833,090,373,
003,813,177,167,753,022,906,113,675,394,037,318,362,398,269,697,893,097,739,
985,243,067,974,852,291,249,431,388,486,683,291,520,698,565,616,569,464,258,
297,849,871,835,585,813,585,328,415,806,544,629,270,999,826,972,113,917,823,
660,151,603,330,457,055,290,946,314,142,236,789,545,608,205,974,853,286,682,
737,982,497,500,737,280,172,803,080,339,773,212,281,912,929,324,720,977,540,
027,699,281,460,089,047,792,621,250,864,501,703,938,446,182,691,807,568,410,
732,682,782,797,121,185,037,649,088,350,884,496,611,892,441,460,085,640,514,
873,801,972,614,839,750,608,498,545,753,361,334,235,259,187,817,462,047,882,
552,881,577,937,979,169,102,535,973,466,902,778,736,885,165,718,137,900,134,
654,238,738,919,010,283,664,180,584,912,858,618,394,561,015,665,849,889,613,
250,787,138,913,780,741,593,706,960,843,768,269,652,389,394,447,646,461,123,
994,162,832,808,349,608,284,741,617,646,431,955,047,526,218,292,113,532,884,
966,660,336,994,368,872,653,691,042,973,042,954,278,439,786,234,155,115,302,
179,314,253,228,982,392,406,311,924,017,048,787,647,049,463,364,203,093,483,
992,442,783,781,306,421,291,780,313,592,945,944,951,434,181,737,487,409,434,
900,381,843,026,075,011,300,067,181,862,985,471,484,144,060,550,311,082,547,
570,289,826,078,235,168,404,145,871,802,192,312,037,382,663,128,538,974,895,
612,805,379,127,912,179,667,876,840,043,991,589,066,687,379,873,358,605,166,
132,722,172,557,586,876,759,509,997,879,915,487,011,203,020,259,727,394,045,
325,808,337,155,323,221,545,468,453,474,864,472,680,668,373,507,647,969,943,
061,852,923,960,357,487,543,840,893,802,869,354,358,158,797,694,657,607,721,
531,558,349,119,081,421,108,694,842,809,542,345,217,709,649,573,644,290,940,
456,215,186,539,739,032,731,037,765,097,063,391,251,326,501,787,096,321,239,
960,929,269,008,504,279,167,279,516,182,867,649,512,489,275,371,452,900,181,
888,203,938,596,085,104,226,414,067,668,697,488,580,127,710,591,579,859,185,
089,231,600,885,476,159,824,393,171,766,982,733,035,621,197,688,342,687,609,
215,053,715,341,931,410,137,718,719,612,239,422,247,771,949,560,308,039,345,
150,843,746,279,803,326,806,200,454,668,637,632,595,877,897,092,834,316,493,
924,969,748,764,445,771,728,937,084,614,062,301,982,382,346,506,788,996,566,
719,164,595,702,618,644,191,965,493,835,277,264,268,098,276,655,008,238,852,
140,215,665,220,629,316,893,291,731,773,053,017,215,810,406,028,296,064,523,
453,541,994,703,150,129,297,811,928,401,553,748,169,070,934,526,078,768,220,
517,381,611,374,656,106,210,249,814,430,797,269,332,588,693,069,828,327,966,
070,048,473,077,015,129,486,804,281,507,586,694,842,633,588,104,156,613,090,
283,538,085,978,925,879,403,487,541,655,983,146,964,119,175,906,445,297,736,
864,017,914,921,129,235,996,152,917,251,121,181,337,566,291,454,186,271,800,
204,018,043,432,253,434,776,228,341,968,547,149,505,784,379,503,739,836,641,
512,112,137,572,490,478,740,741,610,198,180,898,951,738,827,683,910,772,519,
328,697,954,566,655,608,786,922,076,290,830,013,078,801,659,302,113,390,527,
030,853,857,089,592,401,688,178,012,687,773,008,975,771,830,268,631,396,617,
043,610,907,602,194,763,028,240,532,617,326,924,052,016,524,667,208,856,845,
472,698,715,005,947,941,642,290,854,194,072,401,568,289,986,573,871,674,343,
635,721,859,351,132,753,753,192,889,994,336,499,084,067,295,319,832,802,412,
801,449,075,215,706,318,501,044,316,583,738,774,033,723,194,026,323,112,331,
278,190,453,760,977,662,658,726,890,150,846,525,180,539,853,904,078,633,099,
944,692,644,818,982,157,114,752,723,301,238,563,446,276,809,098,377,761,590,
647,478,331,957,124,076,058,708,337,547,773,238,401,913,062,961,593,476,523,
039,552,015,912,066,460,159,009,259,182,802,811,966,575,945,045,416,551,224,
549,086,266,056,075,678,201,501,834,288,911,786,474,858,148,634,695,217,537,
480,795,990,480,041,306,583,025,465,760,614,138,995,148,977,283,869,168,493,
756,503,701,207,244,399,190,585,595,018,478,974,914,699,886,152,528,269,131,
278,291,200,913,251,781,911,097,332,969,915,600,218,955,548,740,341,790,085,
552,759,020,199,824,513,493,635,030,621,755,351,576,374,090,516,058,735,063,
719,157,584,384,444,998,077,533,769,905,724,015,213,202,455,101,045,692,769,
098,906,548,491,666,421,349,911,866,273,765,864,076,395,746,687,394,857,230,
493,439,178,495,534,831,098,009,096,914,478,725,764,833,283,921,166,574,329,
461,430,828,568,623,945,634,253,182,570,402,560,072,745,335,888,313,660,923,
134,892,081,521,943,037,744,815,318,693,804,432,149,313,911,067,170,559,982,
563,418,173,288,877,751,017,669,001,057,128,660,972,565,259,313,191,138,492,
639,185,162,956,092,257,746,140,484,030,355,898,741,799,469,570,632,527,234,
790,188,871,324,826,061,530,939,131,321,242,938,731,177,774,417,257,868,665,
788,811,264,942,199,361,167,714,114,091,782,300,114,830,010,960,659,098,150,
152,565,737,259,344,823,407,705,889,171,102,339,326,807,392,621,240,730,326,
041,539,406,109,787,271,591,900,088,166,236,974,744,963,383,569,171,485,920,
211,858,365,764,912,247,221,568,543,256,908,533,418,789,462,849,319,175,256,
757,822,667,393,703,033,004,852,924,524,702,414,190,827,044,748,993,680,250,
070,777,122,300,794,688,268,019,622,253,760,786,643,073,453,677,979,363,857,
154,439,621,361,743,085,488,747,584,207,681,547,868,686,001,181,051,682,093,
185,698,234,442,180,479,202,339,102,906,479,443,865,657,012,393,912,908,265,
180,050,993,529,079,477,119,097,932,601,972,022,264,319,377,259,171,074,054,
392,736,447,685,833,366,301,149,699,601,563,814,036,909,817,995,096,549,549,
779,432,550,453,418,888,013,596,710,198,952,938,371,842,406,577,840,676,490,
448,377,594,658,885,118,146,930,993,657,593,536,623,042,181,117,844,411,426,
422,264,090,529,519,009,336,908,818,169,061,609,360,727,708,395,833,277,528,
604,213,613,664,397,343,647,697,915,158,446,590,654,659,268,735,835,900,497,
434,704,365,007,017,743,819,903,580,596,089,969,549,374,578,221,056,613,878,
661,083,859,965,058,411,554,090,964,774,452,241,589,621,829,238,590,437,354,
667,054,129,159,192,622,832,921,937,292,480,760,119,428,835,893,324,744,762,
244,514,416,710,527,093,204,196,154,054,310,889,986,906,029,140,544,310,784,
872,007,039,077,780,810,913,613,480,177,284,668,485,362,912,161,805,961,134,
926,346,117,160,715,248,876,192,230,308,322,788,867,267,203,600,750,768,081,
047,411,053,904,811,925,343,579,925,894,132,278,227,822,604,289,445,065,707,
808,732,600,010,304,893,604,857,977,049,567,173,483,358,492,443,066,161,927,
242,525,864,520,725,765,130,611,533,923,360,904,228,727,685,714,753,602,232,
093,230,259,250,053,868,256,222,507,476,591,529,438,597,394,118,330,754,934,
607,192,154,957,987,060,354,833,862,585,654,053,872,000,527,648,185,218,702,
420,304,063,654,070,891,687,772,473,852,184,578,395,872,407,503,853,325,331,
798,288,890,395,505,799,390,937,676,889,306,115,418,838,595,763,470,731,214,
132,548,211,100,701,846,723,392,898,502,094,774,328,951,355,850,071,166,733,
299,755,779,104,328,269,259,515,552,137,224,378,530,545,630,474,951,305,280,
538,254,760,756,188,280,900,639,435,234,592,279,646,692,457,701,835,245,158,
376,223,814,292,922,932,445,602,888,567,598,235,052,610,846,911,609,502,460,
980,883,249,878,583,765,362,816,772,203,031,446,337,948,463,459,064,584,801,
029,530,444,363,955,440,803,516,766,212,762,522,008,350,849,358,381,765,732,
303,125,021,310,578,543,162,696,087,519,421,279,245,820,157,583,717,600,606,
994,756,747,037,189,887,690,748,141,867,732,952,548,190,523,238,801,537,125,
550,239,364,527,699,043,682,630,683,518,062,787,656,129,037,818,718,893,753,
380,191,847,854,421,820,331,365,622,676,804,164,757,888,367,957,609,078,836,
987,367,738,137,954,987,641,270,338,461,638,606,135,485,327,043,925,938,273,
791,654,380,013,199,460,302,807,729,815,007,305,137,740,373,318,044,494,352,
588,892,448,365,128,900,101,380,437,845,294,885,056,109,345,577,816,862,492,
438,177,051,023,524,301,759,950,113,504,028,651,159,960,043,969,699,461,061,
448,249,540,680,631,388,821,470,936,742,997,960,191,273,893,505,511,499,324,
582,961,370,620,820,110,538,377,909,642,836,133,941,617,379,913,589,444,293,
282,222,496,622,724,593,151,621,877,685,943,770,666,252,801,567,246,768,174,
152,671,963,220,055,331,962,961,569,484,785,129,968,755,620,177,222,801,532,
229,724,159,366,896,233,598,529,433,252,194,068,622,019,287,798,226,932,131,
374,109,487,782,587,761,310,665,242,560,698,027,906,128,751,881,897,573,139,
393,843,751,116,844,683,112,782,523,533,356,511,169,994,431,136,266,288,795,
287,010,159,777,539,353,612,575,564,391,315,250,785,836,903,114,333,852,133,
494,202,423,820,019,071,458,234,066,424,677,456,196,808,777,168,381,567,911,
794,837,087,849,684,976,926,611,741,735,720,693,890,402,365,904,264,434,107,
187,721,974,979,541,313,939,975,801,606,400,026,905,057,034,641,658,008,964,
683,517,370,152,446,429,726,826,461,442,699,018,699,266,545,404,169,207,495,
590,502,790,685,266,552,125,004,308,207,748,686,422,127,028,227,431,030,251,
332,713,191,774,164,132,928,352,890,153,207,487,862,891,539,851,248,598,472,
628,093,496,872,837,951,014,107,521,102,926,469,846,137,630,439,309,768,909,
754,697,726,788,422,999,384,016,532,433,580,008,109,165,242,438,176,725,739,
841,046,740,271,060,159,209,551,278,453,160,514,905,333,735,122,959,611,765,
466,830,681,728,800,618,071,631,696,847,656,307,382,248,497,364,923,523,991,
012,530,680,075,127,324,605,682,406,645,169,908,715,347,613,678,125,190,484,
661,448,123,903,523,525,329,326,841,899,485,976,137,800,314,561,302,763,617,
684,446,334,034,808,337,563,102,797,621,491,398,687,924,250,506,709,019,669,
474,985,159,464,877,061,508,706,819,267,701,962,183,516,663,053,078,278,692,
010,444,461,288,643,802,456,091,863,327,643,050,475,902,106,318,400,773,442,
136,685,716,193,561,526,011,778,970,257,950,721,498,986,265,922,865,961,422,
662,869,496,622,335,645,698,573,645,593,739,459,933,539,343,857,252,343,311,
915,916,619,870,405,348,848,528,099,788,811,247,342,641,400,326,713,028,011,
227,015,403,929,711,814,105,308,127,084,898,432,520,496,960,144,535,274,500,
222,846,986,244,714,879,074,311,056,815,908,709,655,847,941,623,982,857,233,
141,969,391,771,232,611,126,957,110,669,264,728,515,778,989,924,002,017,931,
396,404,511,406,433,486,062,149,891,352,811,616,861,944,773,931,537,379,816,
778,365,046,701,401,092,472,611,083,665,620,890,290,383,038,487,446,753,888,
101,825,564,566,475,337,082,784,426,827,588,919,224,937,440,820,393,655,660,
794,077,936,702,975,492,767,332,363,115,091,857,513,814,114,322,782,929,785,
567,781,001,818,182,858,456,045,658,647,276,021,704,245,028,799,391,401,629,
429,085,463,549,011,937,412,696,742,106,933,338,564,750,107,839,929,397,832,
095,478,651,592,551,648,765,790,233,411,732,419,873,646,273,653,933,067,795,
382,307,647,528,679,121,752,383,924,421,550,930,028,814,769,079,656,188,189,
184,647,440,928,037,851,659,049,785,194,981,750,824,950,687,949,824,088,543,
408,389,448,901,669,767,289,932,538,817,553,911,670,616,304,122,183,471,527,
860,480,414,042,926,264,280,189,686,255,273,839,114,021,585,936,678,017,350,
333,625,574,045,294,315,892,343,073,391,005,511,681,287,418,602,069,354,043,
174,943,982,727,037,381,676,458,276,721,019,338,987,577,536,022,793,345,640,
464,446,662,425,641,154,991,927,421,795,884,621,731,967,567,655,831,243,561,
467,846,546,231,856,484,337,203,783,344,953,522,432,112,225,127,422,061,133,
350,840,422,681,397,633,616,913,363,536,031,065,335,273,754,222,477,342,254,
625,263,251,910,958,933,028,489,234,819,811,481,278,973,016,749,004,570,200,
601,782,636,579,594,168,137,613,321,213,047,604,809,283,366,408,939,129,832,
938,446,843,516,262,896,099,420,321,883,452,636,681,780,940,767,606,263,146,
514,841,491,080,884,941,488,674,429,502,710,971,041,684,271,889,168,955,045,
718,926,724,114,795,380,989,007,233,272,302,395,451,197,657,849,299,046,471,
782,059,281,269,547,083,827,724,804,337,923,228,450,502,714,523,183,982,964,
552,883,049,368,062,249,783,001,423,266,360,276,726,192,809,822,144,966,110,
791,872,261,776,145,858,625,972,855,980,694,808,316,479,712,403,829,239,589,
820,937,523,940,399,432,649,473,327,759,591,217,316,771,750,205,538,629,711,
387,678,905,308,113,214,067,763,145,236,710,645,204,097,108,152,640,455,906,
946,543,054,399,338,696,171,378,747,895,032,817,658,044,858,448,944,963,830,
339,063,053,814,451,142,135,238,107,435,766,594,355,737,416,028,669,591,627,
205,863,033,700,892,802,958,017,951,832,139,134,148,908,116,016,184,393,363,
507,861,471,811,949,680,099,982,227,739,150,863,383,921,090,920,137,968,258,
372,140,545,279,125,300,627,920,665,724,240,209,273,213,409,775,096,051,267,
925,874,065,195,094,512,504,676,449,835,240,475,452,534,824,704,088,100,308,
112,216,438,137,773,156,548,936,419,688,289,649,556,153,667,069,619,682,371,
740,129,473,571,059,450,140,057,297,292,262,307,394,110,187,112,496,155,469,
168,693,572,149,517,304,318,975,301,909,176,861,101,371,654,202,320,942,646,
765,958,936,913,323,373,657,065,127,281,914,245,162,377,856,512,928,453,294,
422,208,868,381,135,022,529,485,073,440,978,902,328,818,075,074,526,959,147,
864,660,238,588,442,797,687,678,686,049,643,744,113,163,893,601,870,814,543,
105,075,958,588,724,403,192,316,692,616,466,010,809,689,691,102,921,648,421,
677,155,575,247,550,203,769,349,460,827,627,150,437,563,325,988,596,241,820,
818,252,195,276,309,867,050,458,006,236,943,027,780,084,629,534,843,825,394,
263,379,507,947,654,974,305,449,124,051,861,896,253,341,127,380,275,182,937,
735,896,291,313,689,307,046,432,109,821,643,671,677,786,923,123,168,307,041,
236,112,888,272,209,124,012,780,372,281,698,371,751,140,701,618,212,297,386,
896,841,807,655,793,391,174,855,979,875,499,763,023,495,442,783,117,023,251,
265,726,291,069,483,919,513,982,101,753,976,476,279,482,577,089,319,581,133,
324,808,765,029,920,161,760,883,721,207,487,830,062,912,011,627,343,993,044,
084,826,569,941,226,884,438,891,496,515,992,872,075,033,705,273,184,250,645,
551,854,154,063,207,374,520,714,537,148,873,776,669,415,475,279,828,256,589,
798,848,203,956,514,330,591,508,676,999,192,453,400,588,199,921,066,071,026,
548,549,695,938,734,393,123,527,478,714,191,864,509,831,943,236,491,606,787,
987,288,261,297,702,058,657,760,095,539,196,823,415,854,746,691,798,370,080,
219,579,397,963,610,047,177,128,454,631,753,869,760,061,633,900,546,180,299,
567,881,574,874,495,838,082,321,429,540,351,254,149,889,497,809,246,020,188,
513,315,102,347,692,253,259,620,538,192,454,305,711,091,335,688,140,794,291,
297,125,835,768,986,277,779,301,513,663,297,865,918,385,294,896,249,449,219,
506,987,853,622,641,127,022,090,876,089,839,005,927,161,884,860,704,609,331,
803,025,101,481,902,887,560,212,750,378,674,274,761,353,024,210,654,132,023,
875,207,383,445,291,517,650,371,975,920,429,748,194,303,899,077,375,195,421,
420,787,969,930,769,271,372,602,779,758,604,475,226,455,275,350,512,852,074,
845,217,997,781,712,262,314,015,096,448,165,535,716,985,640,528,773,167,605,
722,211,491,622,873,574,453,956,440,452,541,549,239,430,709,191,916,523,882,
129,194,234,262,656,715,477,475,446,988,287,109,123,482,947,600,709,902,639,
883,650,317,083,246,392,108,733,151,330,057,150,121,694,041,363,518,738,340,
448,940,860,288,455,422,042,188,835,108,945,065,283,258,130,923,182,499,111,
085,792,707,461,231,806,784,205,860,418,137,804,191,348,826,070,155,185,277,
021,975,349,059,564,566,368,352,375,589,148,897,439,527,312,663,385,613,841,
800,370,605,713,284,818,506,381,672,923,720,743,324,712,528,863,365,631,528,
492,791,624,869,650,865,249,984,680,127,568,721,246,288,397,096,258,459,854,
358,766,826,313,683,348,762,692,313,711,188,908,390,656,743,235,893,598,713,
019,067,278,456,583,652,212,133,557,087,705,559,228,029,654,037,253,433,642,
267,944,006,363,496,173,514,884,880,162,043,948,199,212,556,748,161,912,870,
811,431,473,742,446,170,697,324,742,838,475,813,330,215,464,296,970,411,377,
510,908,244,457,372,092,364,902,697,079,651,648,259,271,152,970,302,331,570,
250,558,200,891,266,231,157,703,063,177,828,237,666,930,761,231,938,612,419,
468,566,819,598,387,894,827,743,713,956,328,710,976,120,264,573,902,228,470,
229,932,032,538,474,353,476,151,149,084,431,524,598,926,455,543,314,712,194,
028,474,867,423,709,741,579,725,013,934,802,234,964,325,175,285,638,591,614,
132,495,299,125,448,049,204,505,342,125,488,935,082,371,181,585,088,164,009,
805,011,271,716,661,662,453,995,681,149,088,544,731,215,330,644,020,616,163,
246,727,065,297,072,985,687,615,375,139,009,148,757,499,100,026,764,157,882,
471,707,907,883,378,345,701,189,624,762,994,253,148,509,936,594,936,107,925,
539,405,931,837,564,177,782,102,203,910,858,617,094,093,155,291,941,356,172,
460,036,014,284,522,000,337,861,253,943,765,736,308,419,216,392,571,171,774,
889,184,490,537,903,116,799,845,587,897,121,147,865,077,777,554,734,741,144,
654,959,817,488,873,606,494,736,616,142,019,874,454,600,077,205,572,726,727,
771,054,912,641,128,834,000,289,651,832,370,750,571,855,824,527,128,572,092,
318,937,362,634,491,836,864,088,622,017,644,730,118,453,300,653,340,895,568,
661,831,222,184,365,285,294,673,110,884,825,693,959,965,219,499,041,197,379,
228,580,588,038,815,933,190,390,548,792,288,749,996,823,622,588,666,663,011,
082,275,874,659,600,230,320,295,742,649,584,565,185,667,549,667,539,887,602,
678,381,909,960,588,486,571,176,167,883,113,804,318,246,390,707,531,659,002,
207,883,303,431,211,746,124,395,453,387,350,577,407,392,795,153,686,628,146,
416,258,286,167,303,269,676,750,598,005,823,908,111,159,688,908,736,928,325,
686,616,626,714,628,134,303,751,507,337,956,404,938,476,549,390,351,926,218,
217,994,639,430,370,035,318,264,548,882,097,844,408,942,242,329,886,520,380,
946,935,153,936,173,279,544,385,646,785,346,962,904,693,798,892,606,495,564,
175,875,458,862,516,665,382,670,352,787,670,639,285,895,467,275,955,237,321,
981,790,002,945,904,432,802,498,248,719,389,150,235,687,881,071,089,119,985,
601,136,788,398,089,238,077,605,089,769,901,999,420,173,620,404,942,942,542,
977,930,875,379,401,164,834,894,237,228,511,504,423,036,657,884,665,977,892,
846,657,261,063,210,780,630,508,642,063,167,784,996,120,674,133,864,290,921,
924,027,507,023,363,564,446,391,427,392,494,818,018,407,142,175,267,253,288,
899,352,514,895,564,760,758,956,295,093,028,077,038,270,192,192,968,730,100,
115,089,205,417,340,219,382,194,519,715,022,317,975,941,910,426,141,105,559,
578,456,134,639,662,733,505,584,439,410,054,195,858,283,894,744,661,420,169,
531,539,655,053,799,922,122,518,547,628,489,367,085,493,686,449,731,275,861,
173,147,625,800,589,528,224,807,574,733,075,063,048,417,266,896,971,357,343,
560,306,369,539,499,324,862,653,563,701,887,375,788,068,124,576,616,544,780,
389,072,708,835,564,015,330,296,644,979,019,231,929,921,267,743,971,262,534,
741,010,880,061,857,704,320,856,710,094,376,786,941,348,282,737,458,903,371,
660,755,053,393,898,821,006,375,297,478,918,042,388,768,184,721,828,535,552,
917,445,251,606,619,354,394,286,373,289,514,023,192,339,484,074,792,066,582,
243,786,266,549,237,654,310,884,431,289,397,574,070,495,061,383,117,258,501,
613,151,992,852,845,709,380,957,478,511,348,833,898,016,279,385,614,145,917,
032,737,146,994,439,003,307,448,663,819,075,937,163,907,189,941,055,084,371,
501,608,225,293,679,296,486,888,746,528,976,303,521,871,874,283,718,736,152,
911,514,766,735,247,922,681,612,607,062,894,902,941,682,840,114,223,118,532,
406,596,570,992,871,062,058,690,081,636,741,816,871,012,789,711,462,249,375,
637,352,238,727,936,086,466,178,156,405,355,354,138,439,298,958,013,447,241,
620,659,168,679,995,148,116,986,077,968,975,841,550,179,357,394,284,187,424,
432,816,723,982,696,612,961,195,644,311,452,374,073,593,221,113,316,764,610,
438,821,619,949,280,433,722,049,288,477,593,587,282,119,946,055,017,471,796,
737,421,224,888,103,183,842,966,404,221,561,716,970,529,481,369,486,753,658,
541,159,705,803,821,562,709,272,515,151,128,479,306,267,910,603,559,395,783,
434,484,350,278,986,553,846,909,555,054,239,998,744,535,459,807,878,360,634,
542,018,380,875,286,514,598,449,365,056,695,136,926,356,308,142,822,443,910,
763,172,864,357,920,732,939,593,135,424,552,790,924,918,463,523,044,264,174,
985,020,109,386,997,250,690,024,623,340,635,447,031,927,961,408,584,255,980,
226,500,847,788,183,596,631,508,382,232,217,879,265,627,625,649,139,939,614,
850,979,996,272,194,788,096,304,812,988,720,068,103,223,982,270,734,446,172,
562,107,849,856,313,036,665,948,154,580,026,573,649,778,657,859,624,297,598,
405,000,134,374,779,566,201,021,730,732,080,033,658,726,590,070,489,065,843,
584,698,440,338,044,653,124,036,848,802,337,793,898,174,166,559,334,979,802,
893,500,681,771,209,784,925,539,644,392,664,218,850,385,697,878,371,504,145,
206,652,170,462,488,372,891,728,262,399,198,226,309,480,241,624,189,978,826,
471,364,552,794,442,561,084,395,310,464,707,091,835,091,277,661,400,702,919,
108,014,334,572,535,405,338,524,124,131,385,582,168,379,631,266,111,546,337,
060,264,867,156,267,353,501,726,506,735,619,710,506,791,668,896,991,984,894,
032,896,510,239,979,913,047,130,324,062,769,736,301,961,643,495,640,178,299,
160,376,896,200,649,536,760,845,189,265,754,898,086,743,788,353,620,754,798,
220,866,253,602,447,518,649,403,523,733,657,358,130,058,740,198,981,113,856,
192,682,017,176,734,714,187,604,673,242,674,234,538,367,949,405,701,411,399,
743,957,189,522,397,574,063,455,997,124,824,065,018,612,889,818,586,439,003,
404,109,571,495,463,162,555,874,899,966,238,637,007,200,214,909,097,211,094,
048,089,888,896,272,235,901,584,265,237,457,260,039,795,141,602,289,491,830,
103,089,151,751,604,170,862,634,452,752,870,802,929,950,506,763,100,897,511,
744,323,453,433,639,733,119,444,094,870,040,434,451,434,272,331,744,893,456,
333,218,108,122,429,699,745,012,982,603,541,602,882,749,807,715,379,438,098,
211,403,769,169,042,726,007,312,143,496,152,631,484,664,540,421,288,935,098,
427,113,107,653,899,090,543,881,279,088,645,817,475,347,418,714,579,547,328,
858,447,693,119,864,553,720,662,973,135,619,896,012,606,412,997,528,754,822,
385,193,473,347,125,641,016,979,192,231,514,579,294,144,992,229,217,062,382,
510,785,665,562,675,299,604,591,954,447,195,899,075,216,366,128,344,000,953,
383,826,405,799,676,616,240,418,870,970,043,190,832,886,909,674,770,471,925,
749,564,064,219,689,694,809,661,072,552,928,998,888,913,784,226,126,000,912,
460,058,949,954,062,538,030,019,707,462,629,914,843,182,460,602,977,788,031,
218,817,287,408,875,484,753,156,711,183,362,991,076,561,280,232,754,545,885,
681,060,276,602,923,100,358,369,410,181,468,834,228,219,511,143,342,763,953,
491,512,028,956,949,837,104,179,742,788,082,188,539,916,575,878,985,774,061,
683,245,210,661,892,855,703,490,903,920,063,291,573,277,277,979,275,485,432,
726,996,705,971,880,561,686,535,524,359,179,773,920,348,120,113,584,809,357,
389,860,388,739,269,649,805,476,916,897,483,144,330,641,804,130,043,864,258,
539,587,067,615,925,525,169,622,996,753,383,553,699,001,728,533,400,438,910,
876,351,643,954,650,004,089,014,192,701,374,016,228,327,562,204,880,953,992,
666,758,786,867,491,027,402,651,458,279,572,643,569,810,991,347,644,724,139,
577,003,577,956,651,309,474,616,966,508,226,080,672,875,581,122,528,631,547,
599,684,289,770,596,147,838,125,592,003,014,872,953,107,356,642,988,288,184,
642,002,018,051,410,736,492,613,252,678,887,835,366,216,610,121,412,858,393,
687,254,082,605,193,256,542,287,405,885,211,749,963,090,577,309,401,258,852,
078,392,843,816,385,064,093,590,744,057,660,983,041,557,768,450,868,356,800,
418,587,454,601,996,075,003,564,987,459,050,099,523,027,380,709,805,554,715,
960,649,577,866,699,046,660,055,607,904,518,221,097,593,538,071,190,671,860,
661,039,650,532,886,682,957,783,722,126,363,011,724,562,024,041,100,162,920,
952,631,386,835,661,653,661,031,323,150,463,615,680,473,264,981,116,462,360,
712,877,351,394,234,602,987,371,989,403,699,614,646,079,452,430,840,723,444,
322,927,238,246,044,332,240,333,140,610,010,954,036,951,078,115,161,335,076,
981,397,772,305,626,109,408,753,894,528,940,376,071,098,833,980,758,079,088,
595,593,101,157,433,843,764,937,917,458,983,540,964,162,096,893,245,577,506,
562,970,326,809,984,156,689,865,215,091,081,018,558,289,089,076,807,444,431,
368,306,208,761,948,303,913,743,364,070,194,937,863,332,792,927,817,745,386,
042,414,958,914,149,611,714,087,463,158,906,843,264,381,156,640,662,761,185,
918,780,085,673,748,809,705,591,488,565,000,463,748,049,933,840,583,288,533,
924,958,053,183,727,467,316,968,760,229,509,682,430,731,819,678,196,648,044,
718,755,216,626,709,869,185,635,015,124,872,143,132,823,901,461,740,032,913,
545,457,115,923,166,142,105,682,518,732,107,428,582,007,120,346,996,461,563,
256,676,047,739,267,609,508,645,126,081,513,151,805,151,127,038,244,202,344,
992,451,848,264,130,248,126,724,613,345,310,596,008,599,917,620,291,836,170,
357,019,013,652,733,969,001,895,376,037,272,160,808,630,862,760,148,613,279,
998,088,576,371,840,836,560,445,875,346,163,654,960,536,341,219,378,807,715,
507,806,768,687,212,769,645,332,656,212,158,676,412,995,369,500,392,989,584,
403,912,836,859,956,193,698,415,517,213,810,765,821,308,813,762,724,271,063,
947,483,579,293,708,163,306,944,547,752,309,695,915,482,988,093,257,085,627,
229,390,955,417,233,367,898,251,554,701,557,989,514,145,879,266,935,732,123,
241,893,249,172,178,204,560,636,667,493,942,222,455,125,099,345,869,398,420,
202,947,305,598,061,583,714,174,150,558,194,141,411,771,997,684,006,078,549,
071,636,083,622,386,440,142,055,497,742,343,642,757,664,121,196,416,804,979,
489,801,829,031,631,712,222,961,730,746,417,089,450,884,699,043,520,232,532,
450,222,595,885,115,580,046,984,338,049,493,359,535,726,061,453,458,655,310,
797,220,675,906,157,780,414,648,367,902,423,989,342,523,353,335,204,396,022,
188,211,333,534,452,138,041,872,877,109,008,539,929,853,033,047,354,035,039,
429,860,069,615,331,360,403,678,671,936,666,704,549,514,950,271,926,180,189,
618,487,976,129,809,474,403,309,515,664,386,573,447,323,295,002,305,705,026,
424,154,215,843,228,210,410,289,434,905,542,245,372,202,299,896,464,386,775,
377,641,435,891,958,888,178,562,265,504,524,945,805,670,032,464,752,874,347,
589,436,355,026,657,970,980,162,940,429,687,919,520,326,430,852,356,226,421,
748,983,874,942,965,835,887,716,074,411,466,829,960,179,659,621,496,667,161,
323,862,457,829,700,549,520,837,672,892,601,386,468,428,525,221,201,731,477,
885,037,895,118,345,716,722,197,139,510,415,823,152,612,567,024,527,201,669,
040,251,838,156,769,184,658,218,419,788,190,493,755,651,881,157,696,952,757,
750,411,900,980,368,967,842,455,543,457,306,446,598,608,355,120,023,751,598,
435,019,559,992,688,049,124,835,152,554,371,180,373,485,311,976,593,106,459,
796,277,927,798,953,102,667,852,544,227,246,572,148,071,384,488,414,425,426,
036,192,334,462,360,739,298,583,584,952,573,673,549,802,895,983,946,659,123,
450,405,106,460,645,673,088,818,454,773,006,683,432,461,042,568,593,012,412,
549,193,860,304,827,314,909,769,854,752,573,027,511,446,437,028,413,018,974,
359,887,933,556,827,047,514,196,006,243,646,465,007,387,675,805,267,827,310,
039,930,616,582,786,090,099,264,259,846,278,469,793,761,001,475,778,195,988,
244,328,279,194,936,700,948,484,400,663,322,928,542,196,727,805,854,291,389,
778,759,595,910,830,455,368,899,695,779,033,937,863,615,420,705,515,936,665,
691,371,227,584,879,258,356,969,880,456,233,460,121,800,077,462,518,510,060,
320,057,172,312,573,574,440,923,358,780,061,627,416,289,357,760,507,432,187,
071,025,790,527,737,025,907,069,323,942,573,077,239,560,776,400,837,245,481,
022,072,391,608,401,827,709,675,255,436,815,602,902,831,635,927,133,234,551,
732,745,543,627,756,408,284,603,474,798,869,401,781,191,745,241,863,111,534,
269,850,865,206,262,818,275,743,434,217,107,208,552,731,459,401,254,484,237,
541,518,882,952,568,821,367,503,908,984,116,731,415,609,392,388,405,398,984,
864,987,457,422,103,335,972,231,604,002,089,488,717,051,637,377,331,266,950,
313,058,255,036,193,376,988,921,525,189,033,883,303,772,295,678,011,275,024,
675,437,763,143,943,987,460,992,715,955,123,108,281,762,031,352,031,433,299,
322,869,129,891,493,712,673,285,980,026,616,050,252,486,372,630,919,551,580,
551,236,562,527,398,565,870,873,042,664,661,430,638,071,601,135,858,554,291,
445,685,158,983,672,895,216,504,457,936,624,126,607,458,262,414,404,263,578,
650,653,902,193,208,145,625,559,697,585,855,117,444,487,467,653,208,094,101,
626,895,784,441,784,881,705,980,223,239,485,706,795,446,620,126,522,091,333,
431,653,941,184,204,884,657,813,450,655,823,967,165,518,427,269,651,818,547,
375,006,988,583,964,430,584,224,855,845,302,567,286,032,541,115,582,957,543,
683,472,093,460,064,960,169,680,309,907,009,063,140,243,723,494,178,053,973,
561,588,885,744,754,214,696,555,134,153,085,999,082,878,676,625,953,530,598,
533,948,721,417,000,730,192,941,677,979,608,692,272,970,703,069,872,101,602,
748,596,872,377,211,471,380,303,899,499,301,076,616,666,248,576,336,021,233,
376,638,462,602,368,275,744,414,398,147,613,162,054,828,010,891,503,748,416,
605,336,891,249,542,899,300,318,897,480,962,788,322,965,348,817,710,626,221,
368,045,930,243,143,649,398,723,913,269,538,677,244,865,680,068,884,159,148,
066,723,638,677,095,685,363,080,433,176,016,683,811,695,016,878,965,871,044,
691,730,513,881,249,994,886,694,493,946,658,585,189,631,765,974,063,671,119,
228,154,126,913,923,652,564,334,691,869,314,046,302,567,438,176,798,140,717,
601,762,015,765,509,766,504,048,708,243,955,669,691,616,212,591,158,938,036,
099,311,179,987,577,543,072,461,350,773,104,937,857,828,762,791,314,960,661,
981,680,204,277,279,482,506,762,289,313,690,897,968,965,234,454,959,943,488,
353,506,053,609,893,821,133,233,469,516,404,791,817,531,724,276,300,559,152,
129,935,682,850,261,341,800,365,970,868,749,184,895,005,910,525,389,077,003,
680,899,975,727,490,271,166,913,100,620,586,355,018,871,553,148,495,633,496,
370,768,204,179,351,822,822,241,146,728,006,211,909,154,887,864,271,948,278,
619,792,152,713,892,726,586,245,541,172,518,060,393,580,108,982,974,364,148,
717,354,138,548,490,342,270,997,747,254,259,550,457,430,241,547,951,407,038,
656,705,692,770,849,787,846,297,348,054,368,242,357,753,362,005,348,950,341,
953,620,012,902,418,962,080,207,260,059,294,613,812,850,803,077,013,457,839,
659,260,933,363,974,370,197,823,066,332,242,316,266,469,431,592,554,833,462,
630,150,430,120,038,432,845,188,486,844,828,216,036,937,913,983,947,976,445,
186,899,205,971,528,110,042,059,220,092,258,547,540,215,644,058,379,220,537,
595,585,224,361,535,741,298,853,391,915,734,927,536,348,173,021,734,312,978,
799,232,057,471,281,152,087,539,358,613,691,306,606,543,595,154,689,808,338,
814,838,001,335,416,901,326,339,967,412,420,606,202,001,517,322,869,891,567,
738,081,760,347,574,353,875,438,910,085,891,847,077,072,065,837,444,585,489,
769,908,175,982,139,213,147,382,604,306,211,122,703,710,785,293,691,657,986,
000,163,192,348,500,633,150,272,644,056,143,039,141,154,419,637,002,479,771,
387,027,415,659,538,760,480,796,143,183,551,564,480,291,811,457,243,865,121,
892,312,077,561,479,414,462,739,908,905,210,531,389,256,764,909,095,705,240,
398,041,216,774,991,185,111,444,631,178,425,900,823,420,025,250,739,442,186,
320,810,297,070,354,167,762,390,711,864,880,023,981,385,148,645,701,198,313,
594,218,042,453,708,453,445,073,361,144,341,837,730,600,727,086,651,439,095,
503,643,950,367,611,651,693,511,389,307,904,718,337,625,424,906,965,592,806,
502,472,942,067,409,101,895,918,862,350,564,641,918,467,060,505,759,389,542,
805,381,797,071,812,383,355,339,824,233,006,686,865,887,371,071,350,676,479,
259,229,313,920,988,964,386,136,077,531,295,941,982,877,551,933,986,696,716,
094,032,851,275,728,548,085,984,015,747,983,684,753,574,071,123,596,244,506,
751,124,957,607,042,336,218,500,399,892,955,120,245,333,803,109,735,366,534,
939,432,737,376,700,113,986,073,741,985,078,185,830,755,726,665,754,443,387,
282,577,648,704,147,812,632,741,617,590,232,066,946,677,413,887,651,735,590,
806,110,639,654,632,562,692,564,989,614,519,500,004,184,120,309,757,156,647,
165,362,448,696,109,355,790,152,326,501,116,419,586,110,772,182,384,433,945,
646,773,080,198,289,346,347,553,629,049,010,877,521,369,721,046,638,607,274,
321,507,434,454,371,985,998,659,136,233,402,166,020,459,400,087,132,632,943,
572,298,797,841,725,758,861,285,310,426,622,025,790,722,803,790,700,085,760,
945,594,622,179,211,675,542,439,132,092,358,865,711,421,897,723,396,274,890,
745,769,160,240,060,843,057,273,434,363,383,971,946,407,287,141,330,316,320,
587,578,774,794,378,396,716,655,595,803,985,873,231,692,608,545,644,634,935,
234,411,543,739,009,718,789,602,704,960,077,439,884,304,255,914,463,039,763,
290,733,835,365,641,403,819,876,754,665,450,123,482,764,457,459,093,007,066,
157,015,923,829,371,256,991,131,137,034,118,596,892,793,981,955,048,530,531,
466,387,147,142,969,732,306,194,507,357,604,917,626,118,640,354,634,288,955,
176,935,449,114,037,944,000,852,090,596,387,496,344,587,731,321,231,841,795,
253,364,426,840,231,437,152,248,630,556,433,880,466,367,833,249,109,648,563,
243,108,631,115,847,385,511,537,207,716,777,247,368,065,091,264,095,280,573,
979,089,746,181,391,002,760,645,189,086,701,447,490,461,516,277,117,454,985,
917,972,168,873,442,619,649,224,966,048,051,470,599,007,274,730,614,823,723,
646,566,992,085,291,742,918,908,326,018,580,512,986,814,805,211,492,075,189,
756,491,202,740,666,869,494,189,781,220,062,926,221,463,045,609,225,248,955,
324,494,793,627,608,442,314,357,343,902,545,920,418,222,835,572,504,751,833,
693,759,621,331,732,266,177,750,818,824,292,563,688,710,185,489,814,031,141,
049,908,369,972,875,480,053,912,022,352,810,996,113,352,275,620,310,137,300,
796,299,932,347,357,875,149,753,072,258,529,951,728,456,299,583,934,152,264,
757,827,163,440,148,701,500,518,916,407,308,744,790,003,536,906,436,892,727,
472,711,498,674,607,279,166,642,189,221,048,823,389,054,802,548,499,134,730,
693,490,897,899,457,130,481,126,771,984,745,067,730,717,838,604,993,137,387,
099,024,140,876,734,693,725,784,280,136,981,209,889,116,931,384,852,469,442,
443,377,501,521,043,664,112,296,226,665,895,175,208,341,766,610,840,923,796,
476,181,744,028,875,482,353,513,779,966,238,872,649,717,908,195,286,841,421,
885,089,932,388,422,844,882,013,249,739,485,941,195,325,736,784,554,359,441,
204,982,901,761,626,587,544,082,580,059,425,863,114,154,393,530,580,567,921,
686,242,492,765,673,118,262,545,153,541,883,100,046,285,935,902,402,439,538,
988,077,753,051,155,183,807,346,519,137,677,794,921,317,517,491,346,677,436,
662,930,193,246,001,384,129,959,300,808,439,249,610,018,059,848,641,310,914,
303,676,534,301,258,612,088,285,509,912,346,756,410,711,362,095,351,065,630,
517,271,483,054,405,482,794,101,106,476,380,028,945,552,726,015,668,433,926,
174,277,653,970,855,796,811,062,580,759,107,839,173,505,098,331,676,138,872,
675,715,694,615,924,404,687,935,832,783,827,807,708,368,050,785,662,973,346,
439,468,042,985,686,929,567,766,009,414,549,827,495,103,087,393,589,290,762,
102,241,420,814,621,757,102,104,829,530,329,473,962,226,869,991,041,036,418,
820,969,807,302,629,021,861,479,877,673,799,593,675,029,587,039,506,820,032,
418,994,494,172,446,868,873,355,344,492,643,362,645,769,367,076,350,688,101,
878,746,906,385,807,703,728,479,467,259,184,194,211,283,583,324,801,337,238,
903,634,896,751,825,741,200,813,101,839,513,660,579,950,185,858,541,063,059,
193,642,838,892,444,921,359,591,754,776,496,115,767,874,428,112,213,888,474,
509,198,252,753,872,989,916,006,327,736,361,173,593,693,524,539,218,477,860,
669,297,729,678,617,014,982,326,698,086,448,107,582,649,584,683,746,759,049,
781,180,467,325,043,786,389,926,463,358,214,858,696,483,488,216,860,154,606,
472,779,343,779,453,999,443,134,354,819,034,172,237,706,987,353,547,552,552,
314,158,387,652,215,565,884,193,849,297,059,369,969,821,100,538,659,153,868,
353,933,065,043,494,188,009,341,823,488,564,408,401,693,839,520,966,894,434,
033,774,491,680,917,411,942,476,278,978,388,681,356,703,529,403,025,155,304,
133,426,352,740,079,077,045,623,742,443,867,962,376,677,878,923,320,266,845,
867,359,646,243,560,964,617,192,497,014,954,021,528,356,704,213,876,984,895,
493,600,284,823,708,533,680,898,232,770,762,161,264,197,896,253,154,949,759,
695,466,887,464,807,058,336,463,149,712,085,485,885,301,253,723,809,296,182,
531,443,576,128,946,676,820,428,082,342,741,837,178,047,758,571,044,273,023,
054,446,044,061,602,203,218,593,859,713,272,020,202,773,668,587,378,712,202,
335,765,106,264,459,955,682,538,883,964,942,617,301,805,339,204,899,028,056,
678,339,863,025,783,551,313,807,544,533,876,477,128,293,480,317,268,827,135,
217,935,088,037,218,822,963,836,467,228,998,846,376,482,449,612,890,889,958,
262,961,159,370,457,268,365,645,919,307,015,020,965,077,527,485,570,738,555,
746,907,364,156,197,289,559,966,484,954,549,831,531,921,438,224,788,083,345,
697,830,822,403,247,940,855,677,961,320,866,640,235,733,142,244,725,816,477,
483,837,823,850,247,350,658,605,144,188,749,309,778,320,694,715,203,231,236,
582,894,292,200,032,765,463,967,723,228,114,440,109,003,724,424,779,772,897,
607,809,529,499,832,948,942,613,711,036,191,307,838,102,151,048,334,460,493,
479,307,695,812,232,709,499,011,471,767,016,270,439,523,064,584,553,392,775,
536,508,096,861,735,921,108,698,483,696,252,867,855,766,094,083,126,139,542,
134,039,883,558,718,796,953,142,486,504,954,300,011,233,962,775,561,380,478,
831,443,654,405,337,282,944,350,994,933,284,828,049,390,751,663,166,247,656,
766,095,075,338,637,406,070,368,952,414,908,091,003,543,024,555,041,393,730,
967,902,207,308,135,880,356,524,820,336,374,987,497,828,364,246,293,024,278,
063,071,187,155,164,355,005,206,803,359,410,723,027,348,337,180,571,154,657,
560,882,039,485,179,678,234,470,441,187,646,856,874,710,206,364,502,019,020,
598,229,466,047,356,728,976,391,455,324,502,799,319,953,035,515,791,493,098,
790,523,760,274,304,525,170,335,729,574,688,940,777,839,426,705,823,521,725,
213,928,934,098,003,550,366,007,886,109,333,960,227,805,254,163,082,831,555,
558,385,122,174,299,289,880,666,109,740,818,505,281,377,897,824,886,021,544,
679,531,242,853,420,052,274,420,155,579,669,452,413,785,925,860,553,099,785,
311,680,738,375,484,720,875,827,795,526,739,083,313,615,518,642,308,491,094,
958,039,630,595,596,629,550,830,385,590,073,208,155,351,886,418,542,904,147,
496,961,024,009,510,072,631,652,007,742,167,078,590,422,068,821,275,330,214,
316,825,904,046,514,131,128,436,395,387,891,890,558,788,253,466,043,518,131,
688,568,845,107,172,007,826,657,015,053,824,407,533,241,345,138,950,377,744,
826,922,324,722,769,267,480,658,417,237,559,613,442,019,083,599,830,095,500,
760,301,112,462,993,816,913,388,848,489,768,704,511,612,060,301,373,506,304,
275,844,221,744,103,929,367,926,856,658,531,982,584,096,567,724,704,043,089,
778,097,603,020,978,483,068,840,766,827,545,800,462,392,224,264,547,204,221,
239,233,699,443,129,953,140,335,938,426,201,567,771,183,123,674,624,744,579,
209,558,829,829,921,689,251,024,980,370,266,062,924,245,571,861,759,836,216,
579,133,073,049,029,943,711,471,677,770,598,961,142,997,853,181,295,796,379,
518,771,681,686,833,573,386,544,805,549,768,308,435,880,550,984,521,180,371,
442,188,751,391,578,564,289,288,895,603,035,961,148,134,566,408,200,197,396,
580,137,681,826,629,360,831,291,039,270,603,933,565,416,320,019,258,345,009,
014,385,868,131,127,365,559,092,479,762,679,510,688,928,814,185,569,256,365,
049,305,263,767,681,856,103,700,936,376,722,304,504,259,532,881,394,449,098,
664,188,229,535,049,216,800,594,603,802,207,257,039,126,550,112,645,768,317,
247,724,857,049,160,416,697,623,104,213,704,385,393,581,262,899,419,117,457,
605,947,907,645,440,220,224,261,356,040,843,172,905,553,379,077,366,172,278,
299,785,564,097,702,615,075,193,470,505,369,670,800,458,400,101,399,628,775,
856,780,350,306,339,861,876,036,301,110,326,897,505,755,788,835,406,405,361,
402,753,145,195,697,360,018,399,112,734,692,645,074,240,272,750,600,320,271,
392,663,225,336,635,290,054,621,791,470,126,264,241,242,212,634,966,142,143,
895,170,970,209,747,621,975,936,419,664,658,543,686,636,498,455,643,910,190,
798,399,599,824,362,273,059,164,825,072,446,139,833,257,960,087,918,475,002,
594,847,702,650,064,894,435,396,145,710,434,697,716,928,011,876,748,657,762,
247,613,735,869,594,960,745,776,657,016,212,169,691,519,646,789,279,983,518,
401,585,785,380,127,732,543,638,044,731,729,101,903,025,143,965,496,239,468,
483,223,491,534,544,400,440,599,672,285,788,477,838,496,463,729,474,008,865,
974,697,327,455,173,781,804,334,316,928,403,703,475,284,666,575,837,631,847,
834,039,192,526,011,303,559,378,502,384,231,866,916,252,771,714,401,764,346,
153,533,268,707,195,699,400,548,998,481,709,369,432,915,983,682,039,920,667,
107,792,199,989,883,476,612,297,704,393,032,438,492,561,102,209,471,399,548,
906,266,300,710,946,488,760,747,899,996,033,633,302,669,786,086,479,546,066,
756,121,550,468,094,745,892,684,845,599,753,334,285,750,456,888,333,619,574,
521,356,613,685,368,645,754,377,222,299,501,866,292,329,013,926,742,726,928,
997,124,841,113,331,151,382,055,197,002,767,100,418,745,823,623,503,803,741,
078,521,373,293,538,685,489,258,598,309,085,551,826,893,205,150,893,884,550,
490,392,331,608,198,481,570,393,291,881,754,137,616,831,216,732,888,422,161,
164,068,885,375,738,430,356,757,761,144,598,743,644,686,466,148,302,975,319,
074,607,629,797,166,515,865,570,446,150,026,188,606,310,622,910,668,444,845,
350,845,142,471,756,209,291,371,651,263,335,975,753,483,309,966,130,087,741,
336,865,935,430,196,828,895,718,732,030,839,820,659,838,733,964,476,594,911,
995,518,443,703,500,092,878,110,167,581,443,915,335,119,312,108,563,378,599,
598,767,389,046,468,343,325,349,754,475,690,846,756,325,073,699,118,355,500,
585,046,362,338,778,899,652,367,305,902,185,301,481,803,398,594,569,429,179,
886,406,969,595,873,279,057,537,778,204,900,592,368,002,677,018,426,022,511,
475,317,002,481,037,269,724,980,349,537,239,351,345,541,437,438,535,470,024,
443,709,699,964,086,541,716,501,844,058,713,244,278,911,831,160,810,869,565,
633,855,719,361,236,836,834,609,810,336,254,068,956,439,107,855,971,741,150,
481,737,992,712,114,910,035,635,596,147,165,796,723,474,642,999,779,921,199,
966,077,638,387,269,895,558,735,854,704,024,677,406,249,754,879,185,586,586,
370,356,788,330,918,998,437,827,983,093,317,030,150,736,962,989,253,427,433,
135,220,147,685,805,709,046,291,461,111,438,348,700,593,400,355,693,595,683,
339,711,861,433,054,312,514,525,471,876,678,105,239,398,724,946,145,525,436,
736,304,687,119,660,620,616,151,685,464,478,858,659,428,806,388,484,225,138,
959,101,813,095,529,197,768,537,524,972,952,803,402,691,334,157,511,744,670,
277,781,104,568,993,374,055,066,552,626,751,684,395,698,419,279,483,913,542,
798,659,811,820,036,114,528,660,095,825,394,476,690,797,157,526,175,199,243,
175,940,771,379,457,088,804,416,810,317,092,516,942,056,989,844,375,284,732,
666,804,001,872,172,381,007,597,161,813,459,871,661,345,138,210,892,383,483,
743,945,786,989,958,009,353,886,222,877,400,372,434,516,200,626,260,630,825,
476,219,600,290,278,354,240,533,880,399,939,573,575,154,457,128,468,285,304,
824,150,270,820,997,343,074,286,061,890,442,056,006,403,894,254,200,736,977,
738,242,731,500,065,467,977,068,702,858,172,190,014,769,593,070,427,975,890,
240,527,981,332,154,329,042,750,232,985,886,224,151,360,926,829,035,144,918,
639,459,569,758,624,312,493,640,884,449,364,429,548,006,155,788,866,833,776,
764,746,136,399,529,382,434,317,375,428,603,903,611,749,498,924,441,849,347,
846,257,706,444,177,602,661,411,119,492,837,813,968,771,642,055,594,497,624,
455,531,593,522,996,876,850,021,209,395,951,457,205,241,592,199,691,691,849,
160,381,479,074,615,604,977,500,640,629,665,595,365,741,234,477,627,669,075,
855,166,666,720,187,330,508,750,800,925,257,065,612,202,479,215,992,925,560,
451,073,574,803,231,693,275,154,828,964,800,845,059,999,901,263,282,041,969,
251,773,461,570,693,079,078,735,918,835,189,218,172,474,531,542,696,661,549,
580,908,389,900,813,355,274,093,366,928,825,948,128,927,111,210,918,030,616,
835,393,784,373,766,490,623,243,549,610,781,510,427,087,216,662,326,763,904,
867,796,216,092,244,512,413,129,292,156,160,612,300,131,219,878,429,102,159,
094,754,664,466,198,594,127,415,528,570,361,423,865,432,697,106,763,917,606,
468,311,086,760,670,643,568,980,789,670,185,636,374,387,435,287,705,846,907,
769,678,899,679,256,976,141,740,484,289,514,157,375,456,296,199,281,047,703,
100,363,352,463,388,655,238,599,056,327,368,494,295,134,587,450,377,463,781,
343,129,702,038,829,265,918,114,072,458,644,034,735,444,010,884,656,317,802,
970,117,327,039,974,913,485,714,300,211,754,180,004,782,545,144,424,868,097,
817,371,751,737,962,058,246,377,099,806,448,040,809,956,241,629,214,576,220,
347,764,696,302,030,770,459,716,749,631,257,200,213,800,927,429,889,562,090,
571,174,907,384,885,707,050,369,090,969,726,265,178,200,515,504,525,592,480,
962,865,709,559,213,457,276,802,934,256,752,027,004,581,045,859,387,570,117,
850,376,329,694,999,312,485,135,039,551,812,505,878,181,478,273,948,202,935,
997,192,784,120,263,380,639,980,201,091,484,241,645,448,276,413,705,423,282,
770,852,418,049,975,837,113,729,673,021,539,369,683,556,657,543,464,969,715,
696,576,469,024,207,184,750,848,520,621,698,720,409,742,470,399,219,920,611,
815,145,649,894,506,760,878,463,253,697,839,050,579,732,672,292,752,213,046,
535,434,380,031,389,307,429,229,997,710,022,539,087,312,444,767,124,701,895,
106,452,453,554,736,565,236,254,759,791,544,945,880,949,997,645,466,493,826,
985,143,217,697,488,292,658,131,933,247,959,327,980,118,861,647,177,351,657,
408,302,496,234,974,099,539,219,227,346,773,948,847,088,124,010,580,010,059,
479,634,742,467,140,052,810,178,476,395,312,693,262,447,295,206,260,517,024,
963,581,559,068,237,024,878,814,667,342,344,931,438,495,379,548,253,152,122,
474,880,724,327,679,858,513,437,601,809,602,205,166,251,338,324,917,664,102,
420,298,991,842,386,560,297,282,269,806,805,220,021,827,333,087,054,245,847,
224,686,096,584,370,404,378,607,031,876,522,950,621,076,463,371,685,242,309,
298,320,575,520,844,966,721,079,178,043,331,149,810,373,675,368,025,018,985,
049,622,282,269,873,930,086,259,463,426,294,116,811,775,548,954,630,119,279,
357,546,042,399,372,550,518,561,054,481,464,573,403,817,428,615,227,735,022,
679,697,084,264,459,435,709,192,564,168,855,690,054,954,805,395,822,271,398,
854,348,796,110,338,200,731,972,612,463,763,407,816,012,629,595,944,320,536,
916,006,173,860,992,102,958,709,007,574,561,110,938,856,796,085,577,532,468,
792,564,792,333,887,908,630,744,485,396,971,828,198,458,760,513,762,677,695,
324,083,680,980,035,518,700,974,075,353,315,871,577,431,275,210,781,130,877,
197,852,426,888,001,471,495,713,180,653,495,399,344,245,096,656,502,771,947,
154,004,751,724,469,798,134,614,927,971,220,365,008,019,429,637,815,327,402,
799,933,222,358,162,023,431,977,618,636,466,210,724,538,818,991,566,166,909,
123,950,157,879,343,951,273,119,943,109,074,234,546,763,815,821,274,377,248,
115,201,591,995,334,504,655,587,553,051,733,794,716,383,098,129,050,850,219,
149,388,633,944,388,613,380,978,546,879,916,550,171,101,885,039,105,138,502,
529,988,854,415,406,877,503,152,014,057,263,923,330,664,082,762,283,030,670,
687,003,246,916,608,969,951,357,446,123,681,874,292,305,783,755,712,150,238,
078,173,876,766,698,417,789,673,210,537,168,620,834,612,859,673,718,795,723,
231,515,910,767,826,016,267,924,249,448,829,339,995,346,530,682,278,722,141,
070,778,313,593,037,357,409,846,892,093,628,570,026,218,271,720,452,286,397,
456,372,132,397,992,077,644,060,521,307,933,936,677,870,904,484,256,500,991,
515,719,742,729,800,560,498,801,093,726,530,500,848,186,567,051,746,528,430,
250,228,373,982,683,638,549,345,749,553,287,614,704,261,957,312,497,749,151,
682,551,228,191,522,667,001,357,680,413,318,235,419,118,431,186,037,443,724,
782,445,046,802,659,751,406,165,337,060,113,375,234,320,307,544,062,463,609,
276,841,011,593,319,326,737,993,813,082,191,517,976,239,865,183,385,007,259,
691,367,725,913,276,809,904,209,215,818,123,373,700,399,603,327,276,166,824,
441,722,584,243,919,320,111,680,906,781,624,341,837,766,567,730,942,241,659,
239,377,045,339,871,427,233,572,447,279,848,918,382,280,953,012,975,417,449,
582,728,557,196,348,789,444,788,751,361,026,827,802,239,743,347,880,073,056,
155,173,497,372,891,797,663,125,735,832,856,759,509,076,913,678,882,060,986,
475,448,278,447,563,281,259,488,843,365,904,638,730,143,772,237,855,946,061,
495,690,034,793,190,360,392,442,113,113,696,887,235,842,958,849,395,246,584,
586,520,724,655,034,135,441,904,525,726,941,173,373,839,123,623,890,934,910,
117,557,761,138,805,095,365,215,280,586,942,467,471,615,754,094,303,073,343,
951,685,334,216,007,991,541,437,536,280,483,509,663,388,892,057,501,477,070,
372,212,070,320,793,900,621,435,533,754,222,254,709,312,828,256,848,698,235,
683,677,780,185,804,920,340,585,527,264,568,977,349,710,878,936,356,659,596,
252,721,347,997,478,503,195,947,106,336,068,857,000,166,296,032,860,346,195,
701,135,445,815,629,846,268,902,343,976,182,726,403,604,578,446,290,811,307,
350,096,571,748,199,724,722,516,221,442,570,983,831,400,622,645,697,263,593,
063,364,094,551,472,473,474,220,983,185,282,825,150,031,947,632,333,887,707,
126,705,217,423,416,195,836,435,578,145,291,863,570,965,591,121,799,085,630,
935,585,760,960,299,406,826,443,796,559,638,013,294,063,969,553,624,867,217,
584,191,993,382,924,669,426,679,336,922,185,617,477,885,992,057,514,376,621,
160,267,436,612,971,186,144,400,631,774,020,479,753,918,066,111,774,352,782,
539,787,497,202,548,464,997,324,976,742,478,039,767,033,219,117,578,781,156,
808,436,119,111,146,646,893,338,897,992,327,176,178,039,411,957,390,473,107,
981,492,669,060,301,831,666,420,549,768,699,577,427,838,439,286,587,480,324,
573,623,768,182,920,021,497,984,347,303,427,158,045,512,104,230,945,206,163,
300,943,794,312,387,295,383,872,388,056,629,376,925,140,399,482,706,794,128,
370,209,531,140,611,682,934,217,014,989,372,228,541,075,358,960,531,888,175,
720,159,321,820,894,318,013,149,430,114,295,514,040,972,812,755,091,511,380,
776,507,777,058,711,523,268,670,812,559,484,217,774,235,936,413,758,340,655,
085,716,946,965,201,957,157,402,951,248,271,578,737,384,287,995,471,798,027,
052,321,400,435,113,432,907,167,497,544,638,880,968,513,501,358,739,716,699,
005,424,168,784,454,551,063,404,365,719,251,309,769,814,212,437,648,995,131,
553,182,799,389,248,817,293,056,736,685,251,464,407,645,411,379,473,798,399,
318,190,705,402,403,590,836,560,662,521,916,798,205,890,588,740,913,081,405,
795,459,044,278,463,296,513,047,057,959,725,824,786,977,143,178,477,626,198,
500,266,169,400,073,297,500,333,985,023,397,627,473,349,557,594,356,553,456,
818,233,380,388,090,975,048,830,874,162,629,624,079,182,106,070,661,818,423,
754,340,063,378,426,062,122,250,489,298,218,893,520,971,517,426,697,753,039,
575,094,819,172,258,321,330,643,942,376,251,171,643,059,738,906,500,824,935,
009,350,148,815,523,490,309,429,459,882,664,780,603,164,242,279,696,765,580,
942,327,031,634,683,947,392,920,188,001,691,845,116,044,560,204,782,791,875,
818,860,044,342,247,305,399,442,089,669,820,260,070,743,743,866,112,269,457,
765,932,244,451,294,080,949,818,103,582,208,147,566,722,365,433,266,000,402,
887,625,904,059,894,584,606,844,823,966,580,177,045,236,512,647,010,365,313,
604,617,760,043,781,526,190,148,894,995,007,760,779,233,546,626,090,032,547,
574,428,088,801,450,161,104,757,441,248,639,555,988,357,348,988,659,707,710,
479,816,245,363,110,658,383,918,607,393,949,931,032,741,094,780,896,916,778,
457,152,192,979,802,456,664,001,379,093,796,822,576,507,371,563,343,284,535,
754,740,383,829,846,562,264,223,879,816,446,045,183,324,671,929,945,032,537,
561,198,588,938,273,638,416,382,559,286,819,390,730,674,371,508,786,894,081,
010,809,107,227,856,382,401,689,936,760,457,982,014,143,231,288,727,207,117,
864,801,467,256,147,181,288,809,743,858,590,876,365,041,173,310,836,716,846,
107,805,597,925,986,248,223,021,060,721,527,251,425,448,828,546,002,383,795,
204,726,193,926,625,090,647,935,219,118,955,775,726,685,424,697,774,318,664,
321,282,391,551,182,950,455,741,400,880,639,784,875,556,456,944,824,369,272,
717,727,327,336,408,299,313,608,707,842,948,199,369,828,169,562,524,673,242,
079,506,056,526,774,820,814,969,168,878,303,035,773,722,706,511,933,479,441,
669,963,659,133,964,611,580,580,741,852,254,763,885,376,166,121,861,281,226,
840,098,657,709,887,088,453,192,547,549,666,014,112,388,680,568,457,078,633,
754,475,021,657,390,129,011,015,616,051,491,922,429,124,303,095,354,860,690,
034,492,830,525,064,175,818,497,490,657,868,471,687,202,585,427,414,973,392,
450,121,748,322,251,101,719,809,723,760,993,752,085,393,859,090,358,422,249,
138,218,078,843,948,204,524,660,577,238,418,908,014,156,200,727,277,388,558,
006,794,305,081,551,423,444,657,524,641,092,867,343,430,764,766,513,632,863,
385,990,624,263,370,137,116,489,751,462,555,111,024,824,424,916,051,118,555,
521,250,576,037,296,029,178,300,747,209,366,917,580,612,402,874,092,429,248,
485,080,321,901,217,037,673,937,573,542,756,759,298,312,654,402,223,662,817,
008,490,996,090,275,166,525,477,336,306,080,114,411,069,137,909,233,562,506,
496,043,718,429,993,336,978,584,639,465,751,066,267,261,104,275,116,763,288,
436,752,699,855,421,192,258,240,095,512,886,637,823,916,865,459,804,533,289,
087,057,942,864,981,497,683,552,582,349,067,837,639,843,444,911,475,956,343,
852,940,639,957,465,929,470,590,697,732,280,426,046,297,665,704,123,317,645,
679,259,336,251,997,978,259,745,588,978,913,838,563,949,551,623,798,938,517,
249,973,430,217,594,967,529,350,599,506,607,909,688,896,842,547,082,722,514,
582,144,953,628,323,958,212,573,195,283,057,326,417,091,262,142,673,183,178,
695,122,936,720,637,580,868,836,718,295,200,959,741,342,634,012,595,819,503,
012,487,566,880,978,265,369,305,643,630,635,039,371,212,951,148,262,196,758,
640,103,608,296,983,138,197,991,243,219,198,101,319,225,192,252,458,643,891,
236,030,527,283,117,458,629,806,522,111,003,638,399,578,870,056,968,270,533,
485,717,907,856,651,927,553,004,793,060,957,781,849,996,931,944,792,578,561,
626,507,817,601,872,451,979,396,831,048,375,369,516,207,867,813,448,980,380,
715,288,965,234,965,962,202,775,779,427,311,883,081,035,999,799,622,948,193,
691,967,801,352,832,651,536,030,445,972,088,444,855,396,604,883,744,732,969,
038,713,059,619,137,244,082,788,186,590,194,353,364,977,914,906,852,696,854,
377,075,042,918,981,339,962,838,299,243,016,261,722,645,344,845,607,415,012,
744,304,122,340,139,989,757,344,367,217,612,411,327,379,361,302,807,506,768,
435,570,857,822,908,847,645,667,617,217,852,880,797,835,298,900,055,119,689,
798,003,710,445,611,601,295,105,699,136,265,164,368,627,269,585,467,571,398,
742,250,359,775,904,640,439,822,956,283,989,614,071,181,568,748,820,712,777,
171,450,967,389,573,940,417,664,636,558,241,968,922,320,112,128,684,685,264,
401,030,953,694,122,989,155,732,162,554,871,029,584,733,294,421,332,797,585,
141,420,185,621,383,385,630,744,847,648,503,996,281,784,456,659,616,769,071,
178,778,361,874,600,494,669,974,911,831,227,167,467,424,536,218,902,588,252,
013,854,671,498,522,067,409,971,009,067,316,567,460,419,449,713,657,309,812,
440,291,239,796,632,176,927,305,761,283,086,331,872,790,798,920,425,970,078,
002,153,073,766,767,074,363,792,148,967,696,921,991,992,054,039,591,483,905,
478,585,846,806,796,080,948,152,944,225,837,401,924,170,913,582,539,307,378,
032,961,546,947,388,517,980,911,262,319,550,460,033,524,136,653,528,695,608,
699,103,915,918,768,630,836,222,092,770,295,379,319,319,233,676,955,338,582,
131,671,486,039,761,241,910,249,796,143,866,194,500,681,742,369,335,697,231,
409,233,810,075,199,842,131,775,271,459,679,140,565,630,989,913,176,180,072,
552,337,317,214,938,154,712,283,551,600,281,263,618,200,530,170,656,680,128,
865,010,114,687,086,758,579,592,800,487,615,641,755,678,846,065,412,667,406,
514,847,759,027,585,718,754,905,129,983,756,004,288,498,663,444,417,521,500,
461,736,313,344,545,532,053,283,533,144,578,227,654,044,021,634,619,766,792,
351,408,573,241,969,537,402,214,454,495,642,478,168,800,927,587,735,475,838,
294,205,052,510,288,981,479,244,750,455,253,167,461,148,363,489,783,302,856,
275,500,033,130,924,736,118,042,793,478,966,786,668,364,037,900,382,620,040,
680,941,577,224,723,391,174,452,714,228,079,081,576,484,851,850,051,341,179,
329,572,598,034,200,566,130,122,213,627,301,668,909,569,360,875,364,824,609,
517,584,784,071,955,358,493,133,617,724,493,809,746,718,892,484,457,679,067,
612,950,840,955,971,995,571,605,168,531,197,606,433,021,382,215,147,840,645,
081,181,240,119,021,006,387,689,488,563,140,191,304,474,421,870,062,441,219,
006,968,240,321,991,863,173,669,506,848,297,594,688,187,080,299,991,061,144,
802,337,272,943,721,873,894,896,249,453,174,635,985,233,696,706,373,073,791,
319,251,874,641,175,004,022,688,448,090,076,992,869,974,664,400,092,745,478,
609,023,147,164,695,469,293,019,623,206,643,789,444,141,559,194,242,909,299,
485,347,858,104,477,354,485,601,650,141,353,807,102,397,900,345,921,716,351,
137,693,926,309,632,824,588,898,337,048,973,601,839,338,647,831,431,204,734,
955,185,528,654,123,252,364,200,231,012,435,462,089,812,244,518,909,314,919,
652,166,323,409,919,340,919,494,307,372,751,821,662,028,987,657,658,675,317,
096,998,358,829,017,352,575,970,363,574,769,396,026,468,954,229,112,863,793,
805,063,482,212,471,992,840,867,889,240,805,551,677,278,823,959,595,912,375,
896,088,068,885,967,194,186,537,533,326,699,092,301,530,757,353,554,786,588,
749,268,644,156,769,131,945,438,451,611,820,940,678,925,315,503,738,178,961,
266,122,332,958,590,143,783,461,207,203,682,115,597,807,637,131,306,231,821,
178,174,275,676,325,514,522,839,014,839,385,337,835,048,418,834,314,844,438,
354,714,494,592,362,785,540,111,815,494,515,734,565,087,383,942,736,196,615,
310,951,028,215,449,202,964,306,431,995,047,355,467,396,701,989,879,703,224,
589,358,971,493,370,611,024,564,773,983,189,950,209,796,204,317,928,061,941,
482,425,070,745,732,790,378,839,240,517,598,837,513,106,833,348,838,301,840,
638,522,430,700,987,004,138,140,559,255,704,215,595,201,223,247,796,262,251,
559,883,767,549,403,996,196,240,284,877,137,356,335,799,501,940,285,096,097,
348,002,373,301,696,160,411,331,943,614,676,054,922,055,086,437,378,389,192,
165,714,655,150,118,693,326,956,546,239,918,686,842,801,625,295,691,797,924,
887,631,901,057,786,985,470,885,735,262,286,118,762,285,613,141,559,664,690,
154,647,964,660,826,858,119,506,401,641,324,189,598,042,691,887,112,852,893,
429,357,113,860,066,447,852,756,043,223,556,029,888,830,857,560,551,114,042,
936,863,452,063,092,597,137,300,606,674,049,001,490,107,239,714,265,829,816,
135,637,233,702,138,958,458,296,691,407,649,736,436,219,082,073,053,010,220,
549,484,430,379,088,296,824,574,569,571,839,622,272,278,296,258,310,027,332,
238,187,305,485,006,738,548,744,677,582,005,864,585,092,849,423,520,226,237,
715,502,468,105,965,067,614,702,725,713,896,108,895,816,784,818,137,346,545,
361,690,451,974,143,243,277,288,102,819,076,814,912,681,594,267,782,715,789,
673,630,275,612,435,770,755,415,460,899,321,133,984,328,071,845,449,296,285,
078,189,262,441,951,716,286,584,849,894,100,538,060,024,521,876,235,699,757,
924,938,173,513,521,780,092,013,540,927,684,280,449,469,315,008,872,603,905,
228,280,807,889,919,821,387,760,606,909,184,307,733,027,260,226,122,577,666,
772,668,375,617,270,629,244,595,565,846,531,058,472,583,128,879,164,420,432,
419,084,909,103,238,659,862,913,107,390,757,629,805,177,349,985,979,817,316,
837,226,245,459,776,326,017,685,690,272,920,936,177,263,081,301,174,916,076,
542,983,882,864,332,918,533,609,226,032,008,374,448,611,118,364,964,346,538,
495,834,842,286,570,654,111,332,020,303,492,206,534,032,588,744,839,456,713,
747,268,732,250,711,259,958,957,183,730,801,628,464,835,343,453,942,698,433,
651,416,027,064,120,112,669,441,113,021,984,516,934,835,780,442,615,877,931,
547,046,861,484,036,404,925,618,547,244,388,046,650,774,995,858,365,146,011,
830,097,401,606,733,294,548,506,849,238,265,943,138,985,691,109,885,813,115,
825,960,391,191,805,262,663,168,393,360,890,684,998,977,082,845,472,022,598,
347,934,627,954,700,091,471,902,958,308,098,747,783,507,061,239,576,062,430,
038,875,550,341,550,586,258,348,320,587,542,328,017,123,718,119,315,277,296,
372,855,334,807,314,951,555,070,530,041,526,047,482,715,855,221,148,776,639,
194,634,560,271,295,827,104,475,542,633,210,080,292,978,780,484,194,537,819,
692,903,836,590,752,148,201,806,683,465,502,406,183,586,826,103,080,249,401,
699,850,829,633,054,881,504,469,893,607,083,834,994,924,578,999,581,406,607,
375,329,191,827,392,276,630,418,584,393,574,687,464,465,660,995,847,540,792,
276,181,052,745,023,491,434,152,595,195,213,809,615,175,319,355,638,938,660,
795,758,346,572,091,195,417,416,349,354,770,953,185,281,201,367,121,134,851,
262,893,671,046,681,989,236,670,878,892,356,683,950,844,698,075,212,443,392,
676,374,593,611,645,436,024,155,628,588,561,729,388,282,586,508,859,100,079,
437,641,815,581,206,727,931,176,971,097,255,901,730,290,224,573,989,110,750,
549,455,376,530,263,130,815,303,740,160,536,126,775,592,013,645,277,038,730,
620,834,455,180,898,469,859,251,951,673,913,269,151,327,126,191,165,640,090,
832,129,754,772,954,986,188,599,745,196,486,288,688,526,827,255,905,801,405,
861,077,894,910,941,425,528,706,297,431,106,748,028,382,863,085,364,314,272,
879,760,057,726,950,678,829,050,997,473,104,890,408,194,989,524,293,065,668,
468,996,190,052,634,444,691,735,412,967,419,838,345,160,836,983,418,769,530,
645,519,176,480,281,628,568,920,630,135,044,153,695,904,930,696,681,853,048,
441,301,629,988,508,991,249,931,946,574,508,460,923,764,551,757,240,675,425,
362,461,538,224,357,624,063,826,449,006,093,971,538,929,491,051,592,622,182,
834,517,322,346,685,138,627,544,502,593,301,353,340,758,304,253,310,271,475,
047,596,104,346,025,505,482,857,935,711,782,933,664,902,372,114,331,898,325,
048,417,467,109,871,311,184,332,218,245,221,321,263,097,025,763,226,230,107,
164,284,121,088,799,241,328,530,793,848,820,671,672,248,322,544,708,335,442,
134,142,225,279,140,374,128,652,206,708,796,193,661,496,836,997,036,701,952,
448,130,704,157,373,651,153,869,792,044,107,124,201,009,644,759,956,605,112,
966,697,812,431,211,811,316,289,637,661,876,076,261,443,888,695,880,692,244,
576,110,823,343,833,813,101,415,854,762,861,241,493,505,294,674,301,670,015,
937,038,688,207,664,505,173,628,246,873,672,645,788,103,403,466,934,218,263,
577,961,274,652,564,518,041,946,754,328,946,819,402,972,267,694,133,848,784,
121,240,990,552,357,096,539,927,950,289,261,329,857,021,749,980,096,090,808,
999,712,653,232,635,854,049,285,529,987,905,228,811,020,262,658,830,982,063,
589,821,465,602,363,203,434,086,022,929,500,673,898,664,507,474,376,289,768,
344,149,831,705,249,046,208,493,310,059,925,592,121,680,112,053,852,475,636,
348,468,037,519,189,329,144,403,309,577,975,641,331,100,226,198,270,681,085,
469,200,704,366,854,458,608,388,311,545,216,666,084,690,025,328,307,966,551,
093,184,764,653,390,907,523,988,632,577,650,498,580,676,748,912,636,271,016,
741,660,173,225,713,792,198,738,647,564,861,556,961,499,503,314,379,581,564,
438,456,489,840,058,986,048,162,861,537,528,691,660,279,346,590,042,788,916,
043,926,991,516,824,106,553,883,663,530,302,500,964,780,713,945,076,861,326,
519,807,055,801,808,956,433,463,105,315,263,139,951,403,878,316,011,250,465,
493,490,339,738,738,120,126,891,787,922,328,758,507,477,511,786,362,658,964,
523,714,844,920,298,200,681,998,534,718,953,282,864,490,787,316,600,103,594,
649,325,011,781,223,194,982,414,820,420,670,004,084,644,982,456,603,431,602,
141,364,072,688,827,545,132,463,519,706,960,669,022,959,269,125,501,303,835,
796,188,470,069,221,654,949,268,939,861,652,535,202,944,638,574,247,422,861,
241,833,280,308,480,020,444,424,428,730,766,723,404,789,080,106,668,664,563,
787,880,703,773,916,360,725,638,384,105,593,020,488,658,393,048,685,645,941,
182,148,808,941,317,488,381,079,608,851,491,147,811,585,504,884,622,403,038,
332,305,974,815,837,885,945,478,472,720,237,972,773,014,426,507,025,748,891,
924,609,809,399,178,092,877,130,674,228,230,413,352,243,110,934,892,320,304,
385,786,443,787,054,995,248,321,545,786,985,489,680,766,832,991,554,250,021,
415,684,261,994,669,129,736,310,961,674,611,710,224,764,706,164,418,080,211,
018,142,866,909,601,305,902,814,210,757,118,005,356,716,625,055,033,760,574,
346,349,608,541,578,830,663,202,885,792,380,344,948,187,297,718,250,469,270,
097,633,222,291,108,174,320,712,362,604,139,165,801,672,454,237,786,903,456,
299,509,182,635,402,105,752,314,371,668,767,114,146,888,737,090,387,338,648,
275,006,933,848,205,900,807,183,326,065,835,138,735,793,782,639,494,271,330,
947,697,359,527,336,565,644,137,604,440,065,885,327,588,455,125,990,665,144,
376,256,115,345,580,401,755,366,450,042,693,784,139,626,927,506,053,189,528,
555,467,973,440,146,162,790,089,403,218,524,595,851,522,921,156,969,591,058,
326,617,858,252,242,543,310,482,463,434,283,468,404,307,169,774,719,190,687,
666,315,184,848,436,810,898,473,498,594,511,229,784,234,146,993,292,699,706,
826,838,486,361,627,855,796,162,557,543,901,277,858,849,166,060,676,895,711,
744,086,743,174,698,319,056,483,754,514,164,245,332,148,161,303,938,100,482,
062,483,332,290,102,728,884,936,310,861,508,803,076,946,945,771,132,765,080,
025,916,600,397,595,237,864,508,736,653,960,707,769,263,585,152,227,729,265,
838,922,008,210,132,740,176,147,317,512,656,618,848,572,013,456,499,591,628,
795,304,466,263,047,560,734,605,067,185,882,344,988,060,704,976,345,678,058,
426,496,800,600,932,488,205,048,706,356,692,703,521,304,391,361,702,896,247,
845,211,366,741,977,207,848,431,980,215,873,978,607,071,636,556,551,665,692,
271,641,136,493,860,240,470,685,053,138,391,389,923,005,667,969,964,034,060,
453,125,076,284,472,223,822,598,145,239,544,510,352,509,208,007,353,402,834,
698,387,588,943,925,935,663,630,720,973,388,698,510,399,296,430,577,667,242,
817,461,753,657,177,922,207,382,884,614,750,833,244,758,253,527,967,091,500,
763,842,458,902,458,194,046,617,895,963,304,712,236,816,751,847,581,500,698,
677,215,822,464,164,787,176,872,614,317,597,651,148,483,056,773,678,808,054,
203,769,911,067,052,995,969,071,275,269,007,797,363,588,100,631,097,203,390,
729,337,427,838,139,502,848,642,675,670,475,256,606,274,121,035,637,270,173,
537,115,350,129,634,823,260,005,452,443,868,560,588,525,794,375,326,046,567,
497,556,735,963,159,545,283,329,439,861,661,126,350,374,937,783,364,657,804,
770,389,670,522,294,801,974,608,490,207,337,491,595,625,909,793,287,809,092,
117,769,547,347,532,798,160,163,896,090,971,080,992,480,833,141,972,165,525,
243,941,871,674,527,525,445,609,997,463,975,512,263,682,075,037,068,612,541,
799,022,819,138,044,203,739,161,729,555,164,054,211,294,691,636,463,094,467,
748,178,241,076,565,416,902,089,332,907,849,556,592,505,913,553,578,408,554,
798,343,136,972,504,290,115,979,811,381,450,861,902,252,728,716,149,115,890,
311,284,016,319,598,059,055,127,636,100,718,589,472,012,230,145,643,779,001,
404,837,860,291,331,385,458,167,386,697,341,711,088,660,676,851,499,985,825,
105,427,132,050,527,496,846,164,289,102,276,837,025,711,826,405,164,948,977,
101,550,842,269,067,174,804,011,331,183,795,736,198,222,521,329,646,513,055,
284,851,766,687,999,718,453,964,409,498,660,590,678,094,499,849,041,327,648,
603,404,918,834,882,080,074,959,485,335,856,088,547,467,196,286,114,080,833,
767,459,714,357,280,209,264,450,270,012,894,409,447,658,939,517,614,982,549,
531,606,998,818,968,728,156,935,043,307,550,180,657,351,155,823,528,140,980,
623,969,287,964,106,574,985,408,862,910,262,235,497,832,797,092,531,190,422,
254,513,853,797,197,431,621,103,065,544,080,386,981,818,156,007,125,482,883,
837,006,177,477,282,101,858,266,268,224,917,474,199,513,202,739,338,548,541,
087,712,069,724,292,232,708,971,139,278,978,092,653,484,401,741,593,064,995,
645,348,624,395,588,741,230,060,816,670,118,705,893,979,221,932,357,737,610,
297,810,562,242,160,414,348,584,217,101,330,718,252,988,565,827,587,601,320,
925,714,670,286,470,751,740,431,741,174,794,057,272,105,124,059,084,648,946,
204,882,049,230,756,397,495,622,709,823,210,059,278,664,589,957,120,035,025,
253,707,513,276,876,212,614,221,916,076,937,039,341,624,270,459,516,414,078,
893,155,959,540,459,906,375,552,001,757,462,519,489,142,438,200,607,012,702,
544,698,182,091,681,822,059,731,245,610,660,855,616,019,270,725,887,179,470,
094,833,031,989,566,274,500,525,011,933,413,365,969,031,814,727,855,963,960,
165,013,641,287,509,021,622,764,016,600,515,789,279,435,242,174,689,563,260,
715,281,580,655,397,142,016,457,243,627,371,636,080,541,170,700,929,971,748,
379,700,052,713,510,598,711,564,308,356,891,115,784,667,500,316,329,388,175,
509,151,786,197,427,772,010,464,112,037,110,255,061,216,111,206,406,481,183,
470,431,276,377,924,851,055,281,728,439,497,772,802,349,473,172,556,651,024,
708,323,373,910,784,273,349,377,174,726,619,709,705,982,576,410,003,068,033,
421,999,770,158,128,972,500,952,097,631,418,790,120,543,686,748,509,880,412,
994,455,067,834,131,495,557,267,398,994,770,888,617,341,389,913,967,419,061,
114,379,259,055,386,313,298,828,661,662,455,072,205,816,633,022,179,336,993,
101,012,904,697,629,531,961,053,489,245,082,368,900,189,314,201,235,153,416,
641,160,014,411,784,736,447,806,126,478,545,565,565,554,141,862,649,511,030,
760,707,207,182,305,769,999,833,800,743,329,594,514,627,932,120,758,769,252,
903,668,992,376,300,539,110,716,241,445,879,330,723,896,881,785,786,851,575,
690,421,437,778,675,247,820,148,289,920,644,633,419,126,127,807,341,830,719,
137,728,629,108,954,359,729,423,503,296,620,425,461,695,694,211,615,005,426,
326,109,813,312,414,023,453,945,930,839,018,175,725,223,489,931,460,804,321,
552,546,625,191,521,098,661,972,534,772,210,124,818,810,035,233,050,113,252,
793,331,818,371,975,106,732,510,892,918,567,374,010,421,058,425,736,670,017,
415,491,975,805,989,073,118,220,945,754,325,127,323,269,063,828,175,126,100,
818,925,462,113,724,203,561,087,216,817,086,210,253,900,538,760,443,523,968,
365,655,813,147,167,807,263,159,809,894,433,123,522,900,031,968,123,530,574,
680,316,334,511,989,776,425,047,373,627,070,529,775,175,308,337,932,102,735,
462,132,641,602,675,054,246,379,935,092,939,850,077,265,897,553,690,211,564,
212,042,748,756,434,270,065,257,421,046,847,724,870,141,342,323,999,462,340,
606,527,978,078,884,845,030,485,847,701,202,216,665,603,181,689,856,682,246,
257,742,125,614,635,502,851,708,293,446,526,922,890,961,402,536,654,725,134,
899,100,001,468,843,600,332,621,941,074,592,612,423,762,198,533,732,809,534,
908,975,344,434,537,951,089,164,070,962,221,738,307,494,137,826,054,388,092,
465,146,204,730,049,532,485,510,155,709,840,096,055,108,266,957,865,982,757,
926,994,277,259,873,597,847,909,395,472,309,064,372,616,483,848,971,752,967,
207,970,036,993,681,704,320,190,396,449,363,000,198,962,857,403,602,253,913,
522,297,131,262,918,613,814,799,960,717,608,761,732,218,561,712,913,482,873,
270,214,788,391,095,984,186,786,257,048,100,938,880,092,593,805,006,389,026,
400,544,853,887,162,648,516,683,915,365,853,618,213,784,646,868,057,072,065,
077,207,772,494,208,373,520,987,204,365,468,237,828,039,739,893,084,222,321,
668,750,537,430,620,951,315,464,986,941,679,866,621,764,350,592,283,041,839,
988,267,696,131,280,967,879,520,723,440,304,236,619,611,477,404,255,986,135,
748,546,828,515,204,981,032,813,289,278,147,904,741,826,208,063,573,420,663,
849,362,322,054,903,872,016,723,211,495,169,716,432,958,467,719,313,120,919,
922,209,276,063,534,573,599,256,113,696,962,381,099,116,903,834,488,630,620,
846,772,007,415,799,428,985,330,353,385,361,548,976,779,473,109,765,569,219,
980,563,855,387,495,632,468,777,592,344,832,772,189,781,704,655,149,204,937,
742,434,822,953,547,915,514,889,647,253,514,843,221,832,717,441,524,820,333,
474,246,846,321,387,113,546,446,828,057,203,748,174,477,797,802,227,692,998,
164,285,730,240,743,225,206,754,749,296,089,948,290,231,899,308,403,583,346,
143,211,171,855,792,954,471,876,192,004,148,931,185,828,349,520,908,210,520,
922,526,588,440,489,852,925,222,445,834,331,609,636,552,891,499,594,369,219,
431,483,654,032,692,582,179,386,518,711,372,333,166,398,543,191,480,217,053,
689,780,944,154,858,294,499,321,567,937,874,623,535,766,215,112,479,566,144,
911,022,133,979,940,278,061,998,972,764,535,218,822,219,324,994,979,421,673,
907,271,259,490,994,071,017,148,754,213,703,678,689,463,931,705,200,366,593,
948,976,702,585,531,292,562,401,909,929,813,571,977,458,061,135,366,336,891,
048,313,194,666,389,362,054,352,654,089,142,975,396,552,716,133,491,061,628,
494,245,122,301,757,709,658,980,798,963,151,258,124,185,932,028,080,247,732,
399,124,112,405,010,258,630,622,141,310,298,747,239,073,692,956,808,335,411,
662,299,856,277,934,081,246,369,161,945,684,891,942,648,120,687,191,030,808,
495,314,174,511,968,492,498,300,355,957,277,763,476,490,134,876,388,229,961,
529,105,598,412,698,396,875,572,666,811,523,033,298,691,684,668,652,143,220,
146,025,466,248,618,623,862,953,318,883,884,140,356,180,369,095,261,608,047,
793,143,868,202,625,086,823,284,861,219,862,172,541,441,530,622,613,540,344,
603,223,811,294,334,719,096,749,624,459,284,213,178,071,394,466,024,829,228,
547,969,629,550,893,721,884,055,391,898,795,058,806,300,284,443,741,725,964,
700,627,520,661,774,684,161,065,639,983,583,098,158,021,318,194,007,090,133,
182,961,660,859,307,174,139,685,436,442,508,972,157,779,850,783,302,915,557,
745,523,634,222,000,063,261,409,190,244,888,859,438,863,418,946,163,823,951,
182,134,643,546,929,265,173,340,379,131,023,020,857,255,291,204,016,815,886,
177,962,378,753,315,515,075,204,402,455,719,700,945,218,046,883,639,380,430,
538,838,133,814,655,148,640,028,135,586,848,995,593,214,893,237,121,858,819,
890,117,580,104,422,065,544,593,887,786,353,288,770,463,962,055,948,372,849,
781,754,924,062,948,491,134,071,265,690,064,450,566,021,930,156,666,444,930,
342,428,841,235,827,021,026,230,179,330,602,809,029,299,057,982,511,199,357,
930,534,475,197,065,000,599,806,110,366,145,565,313,828,342,623,927,801,059,
235,262,560,785,155,539,904,791,110,838,739,412,751,767,931,525,078,747,769,
486,422,114,478,004,877,654,784,107,264,957,409,727,495,851,728,205,929,299,
128,298,043,717,614,782,506,875,716,102,410,231,084,967,947,756,202,288,415,
399,595,639,776,917,975,197,815,975,618,713,568,474,724,169,884,864,728,406,
527,574,170,884,377,633,173,344,771,133,626,040,339,870,879,950,477,169,900,
427,841,765,224,952,687,817,989,514,220,245,435,737,666,145,215,475,347,021,
581,359,177,531,738,666,881,576,645,593,015,507,190,972,721,700,510,030,328,
825,539,229,197,851,364,543,144,176,048,487,937,979,531,551,847,289,677,718,
339,170,966,427,726,261,757,744,495,662,471,739,786,987,866,970,983,695,709,
213,585,048,456,560,449,988,345,655,630,122,050,427,923,556,929,924,515,068,
230,354,629,221,037,986,586,063,079,858,417,164,295,590,176,276,242,914,352,
313,288,270,128,177,298,652,664,327,248,154,811,663,301,731,826,147,957,405,
774,992,323,572,084,604,307,075,315,677,047,685,851,538,042,306,215,943,891,
690,786,740,206,862,882,601,446,779,863,431,783,901,927,084,261,570,621,795,
138,368,485,727,684,257,912,657,718,011,384,907,104,450,356,557,245,162,695,
239,148,824,773,138,334,667,092,580,271,496,289,216,952,034,884,187,161,194,
775,349,446,447,603,916,763,116,776,104,197,209,143,886,449,299,278,097,466,
932,221,336,937,504,368,913,993,384,840,928,000,101,342,304,427,060,573,159,
389,169,577,504,884,280,728,423,959,018,302,982,677,153,144,074,869,063,765,
883,585,050,980,849,717,247,774,473,914,116,839,509,360,706,421,959,489,060,
395,884,717,748,710,106,379,293,508,808,887,845,303,014,080,514,794,833,629,
154,308,652,793,147,056,835,101,711,692,825,405,747,169,875,065,259,365,140,
225,041,884,344,860,702,397,569,578,970,247,466,920,622,605,907,821,482,082,
542,507,846,339,410,719,376,441,135,817,705,828,895,124,961,850,239,290,607,
688,797,437,165,323,207,143,613,704,734,881,303,585,999,261,130,716,126,627,
241,304,315,692,940,163,288,868,899,163,633,610,788,464,543,556,684,230,315,
622,396,207,661,923,927,781,731,713,794,283,320,935,401,906,332,820,845,397,
332,459,727,667,775,483,240,622,454,491,350,719,739,535,621,204,851,065,416,
012,954,266,595,228,151,398,915,756,907,591,170,516,458,992,340,011,475,536,
188,924,568,353,170,734,240,817,542,056,288,056,576,348,263,436,396,164,239,
521,569,404,442,797,766,626,207,451,420,595,666,876,268,995,905,674,258,206,
196,811,462,629,328,598,766,549,162,531,944,836,745,641,227,019,094,168,373,
259,123,405,931,502,283,633,103,733,320,801,230,606,497,079,994,904,526,260,
318,478,133,904,382,712,128,877,729,679,384,621,515,666,095,934,348,929,001,
798,568,701,383,570,580,532,515,109,114,300,939,036,967,701,422,791,712,628,
484,035,040,995,405,712,293,567,311,703,697,136,079,615,003,574,642,489,617,
767,973,187,810,154,590,488,311,975,141,390,957,139,584,157,896,125,088,444,
230,805,494,799,990,509,285,544,092,266,682,141,630,701,262,952,622,729,909,
223,526,760,365,313,851,726,236,622,401,323,864,605,737,895,107,350,421,108,
927,559,941,975,042,903,665,647,816,926,369,388,889,217,693,915,662,679,495,
171,295,398,851,434,446,890,786,007,778,900,635,980,668,099,195,314,393,932,
875,817,917,852,323,086,968,114,725,720,175,007,793,626,276,765,296,712,924,
735,714,940,344,100,035,363,959,478,002,056,976,489,623,248,897,923,540,264,
631,712,678,033,990,835,643,090,203,550,843,271,076,633,884,069,746,071,645,
298,231,403,935,253,565,455,257,420,497,427,883,484,182,264,854,402,035,327,
846,463,389,885,569,465,089,393,455,651,842,401,098,374,336,867,322,317,992,
990,348,288,920,290,204,282,843,156,694,176,032,178,223,537,884,649,358,144,
764,509,670,860,945,130,621,597,328,377,751,635,665,931,741,003,650,747,743,
129,958,536,105,765,367,895,883,118,263,225,847,118,108,836,041,716,804,855,
551,671,349,119,226,008,983,696,411,205,233,378,351,883,220,740,961,316,530,
975,569,484,629,270,137,000,992,471,724,664,110,767,376,315,476,467,289,972,
696,886,264,564,628,763,071,398,049,739,516,112,063,419,031,897,278,883,964,
127,227,749,211,706,249,069,684,459,672,003,398,271,393,392,453,229,043,874,
861,732,337,305,010,447,856,101,245,389,905,385,208,711,534,756,350,474,772,
517,196,885,935,289,250,754,442,316,517,702,181,240,679,656,416,999,874,654,
894,325,221,322,939,755,021,227,355,310,827,539,584,385,282,488,111,189,272,
859,333,862,906,536,987,926,812,820,677,249,781,458,567,324,608,495,702,061,
055,188,535,670,591,378,073,561,202,474,544,998,043,234,122,215,051,374,769,
439,207,187,312,294,666,263,470,484,007,443,575,509,349,772,242,415,103,129,
850,545,797,983,518,796,374,842,833,497,773,007,661,739,146,370,055,014,849,
320,675,043,755,328,642,314,300,244,982,160,929,339,788,022,041,469,343,134,
312,542,432,489,084,752,028,726,359,110,548,325,558,829,369,912,329,572,050,
304,187,981,650,301,336,625,652,680,933,547,365,633,816,531,060,147,860,667,
002,772,965,578,313,288,049,550,833,746,349,017,384,718,199,825,649,151,964,
300,161,809,999,696,826,984,133,026,270,958,244,781,261,034,305,340,184,093,
866,978,517,996,817,079,070,669,055,076,811,289,641,291,549,487,528,524,924,
918,973,515,790,370,358,420,885,062,149,458,545,794,936,672,194,217,714,110,
616,116,325,713,905,494,359,348,192,958,571,073,086,527,290,767,725,275,734,
232,209,882,116,889,458,699,495,644,415,222,596,355,753,153,003,945,283,732,
286,019,101,032,195,005,070,667,519,893,085,927,516,972,912,286,838,191,881,
599,729,644,198,154,085,770,028,934,713,029,518,488,234,155,692,645,097,081,
348,691,867,814,892,033,405,078,491,598,607,401,811,490,449,361,993,614,406,
409,806,381,527,891,318,939,465,602,410,361,326,571,821,955,412,128,450,185,
932,107,345,610,081,161,622,437,779,158,290,620,825,564,972,087,492,009,823,
819,763,043,344,294,221,018,587,403,787,157,414,927,372,262,640,709,821,881,
894,359,582,174,698,493,766,362,589,420,687,772,650,748,441,677,502,150,359,
057,894,886,674,477,574,125,728,201,472,916,263,553,684,813,608,898,158,523,
270,711,295,025,718,997,128,268,777,421,733,570,949,205,827,347,686,493,168,
968,020,606,868,540,570,824,367,239,686,270,776,295,018,349,402,170,694,192,
968,211,636,585,053,663,148,842,035,423,618,744,735,366,769,276,032,157,703,
491,991,934,805,105,980,900,521,419,181,473,516,400,192,911,358,441,615,469,
463,460,036,469,395,394,202,277,847,616,737,795,850,350,810,133,296,456,428,
595,531,249,415,285,285,475,250,433,245,922,129,198,849,568,115,099,954,826,
553,894,375,961,668,989,001,157,826,184,466,127,742,883,423,351,941,399,696,
159,381,568,354,570,935,129,775,317,965,903,076,494,488,723,146,184,536,688,
431,725,014,307,643,688,008,765,502,566,943,348,810,774,362,455,927,604,622,
078,268,302,146,050,398,463,456,674,505,234,618,784,534,082,425,209,903,449,
573,058,567,635,359,809,706,920,114,700,631,833,746,609,979,410,636,361,568,
093,616,057,517,351,394,692,998,212,560,694,388,596,304,593,152,103,209,261,
194,435,573,016,077,567,400,236,004,920,311,421,917,675,674,037,996,971,734,
398,719,490,763,130,108,558,747,538,815,483,874,100,855,795,698,842,702,631,
389,576,926,239,871,811,313,841,320,002,183,903,052,689,735,974,913,810,375,
433,637,660,660,414,365,604,866,104,480,239,173,980,745,647,115,753,376,517,
173,481,093,293,639,103,435,248,292,567,803,121,139,121,360,199,789,717,539,
153,118,447,926,138,968,283,322,731,286,054,115,771,498,027,882,480,821,295,
485,071,637,153,562,701,215,635,452,963,622,967,758,891,129,343,187,462,582,
232,292,626,195,361,641,991,650,666,334,968,107,851,495,534,916,711,188,511,
437,925,055,487,321,203,217,573,197,674,735,501,961,542,221,298,162,343,743,
570,104,622,702,263,351,938,230,209,987,908,582,854,984,069,893,497,552,348,
360,676,334,433,208,617,541,071,356,352,126,126,920,836,076,013,223,561,461,
730,945,963,987,433,049,836,049,580,112,457,409,297,026,747,945,914,543,290,
443,089,274,444,754,373,893,944,762,657,975,995,694,019,737,583,733,991,525,
568,170,837,641,303,494,098,007,419,343,443,285,396,446,489,433,081,032,199,
459,161,017,457,083,586,227,702,004,131,085,063,667,223,179,458,964,864,260,
695,685,648,938,725,393,450,596,036,617,755,700,284,283,452,994,801,225,969,
824,165,853,752,277,951,714,998,688,407,641,642,414,197,175,451,971,923,545,
714,302,192,979,314,811,981,294,600,579,386,978,105,465,615,157,300,742,709,
120,055,741,242,877,564,279,787,725,818,522,363,493,742,007,343,865,477,032,
723,202,555,439,383,777,456,355,189,427,665,723,130,423,030,356,601,318,660,
317,482,815,731,912,140,411,119,780,462,411,251,292,767,038,370,322,998,581,
336,593,659,453,253,182,735,183,360,431,423,581,525,755,492,296,393,910,909,
599,518,357,778,754,155,443,146,094,733,365,701,041,697,325,993,200,364,385,
490,412,061,745,026,114,570,518,512,481,395,841,926,238,527,910,626,833,973,
095,260,037,094,963,744,801,543,530,658,623,945,824,373,258,909,973,859,959,
684,985,114,338,241,073,025,085,132,123,897,143,852,495,609,259,605,155,692,
151,269,430,617,071,010,871,837,819,388,560,216,013,760,931,993,514,879,575,
950,946,827,225,130,115,483,369,796,060,053,995,528,235,781,375,256,264,531,
761,609,032,569,679,943,439,141,620,143,694,770,792,872,006,888,848,510,429,
819,616,755,878,488,924,362,268,218,190,887,039,855,917,867,955,488,358,418,
616,286,137,130,343,545,366,316,749,852,706,343,571,123,259,427,819,086,896,
364,243,670,953,891,059,856,660,435,547,214,634,750,411,959,869,538,292,183,
943,101,337,375,874,410,720,459,413,172,175,300,226,913,202,507,112,159,515,
919,709,538,511,787,721,396,375,630,306,778,682,197,205,146,890,536,615,743,
816,347,324,755,273,796,047,537,214,881,279,353,938,989,403,794,165,988,299,
705,300,167,151,461,920,726,256,432,648,169,220,425,070,684,256,465,048,601,
612,858,763,160,173,942,533,559,016,452,803,047,751,260,763,935,370,398,620,
977,869,866,882,555,209,685,339,867,505,426,270,514,470,788,165,049,597,306,
466,751,396,797,544,226,744,809,887,412,134,415,265,087,521,588,217,706,535,
641,016,633,074,741,830,975,312,512,593,139,526,998,557,700,774,728,522,774,
373,357,794,351,357,292,677,409,457,241,072,633,036,284,969,968,933,514,385,
963,228,149,426,031,380,495,406,979,878,568,484,662,940,480,598,346,281,172,
184,456,966,633,098,935,982,616,753,252,027,214,626,541,002,756,911,396,941,
114,107,953,268,326,051,780,101,863,826,144,151,107,047,446,060,654,382,623,
471,484,558,513,504,124,158,504,789,158,250,822,046,833,700,757,393,491,784,
632,752,049,888,597,451,978,620,266,258,927,072,050,621,125,416,368,881,495,
911,497,279,486,440,069,833,241,679,934,981,180,188,366,630,213,612,053,582,
161,544,649,094,812,614,711,112,476,304,272,167,219,997,302,557,333,868,458,
009,928,011,477,264,890,754,561,408,931,238,528,721,180,594,176,934,868,197,
303,030,736,206,456,305,386,563,916,970,184,732,050,605,495,706,749,107,994,
749,163,653,201,714,148,597,095,711,013,337,551,313,453,015,379,248,449,982,
962,065,244,011,863,325,587,283,589,120,014,095,154,522,762,861,053,270,042,
996,087,607,195,708,069,905,777,948,233,868,475,673,872,483,977,606,152,902,
518,073,221,679,486,425,010,381,991,350,782,180,956,527,733,752,499,771,804,
435,109,078,730,128,625,081,849,366,405,932,136,559,162,996,046,515,166,065,
515,349,931,425,770,305,978,528,519,198,204,611,261,759,636,837,997,029,446,
148,085,685,712,781,142,923,131,773,031,407,759,724,473,774,040,535,500,770,
467,200,545,613,884,919,759,458,222,864,643,385,418,074,421,860,851,906,666,
272,666,635,672,433,565,390,926,349,442,446,751,252,406,783,183,179,720,162,
233,282,468,030,064,277,780,792,444,439,127,063,432,594,112,524,333,919,154,
401,071,603,192,845,927,906,391,000,979,627,036,287,235,464,015,117,220,015,
882,182,587,757,249,150,437,416,711,595,694,625,797,067,622,354,163,637,964,
713,407,551,367,623,614,789,950,465,636,792,167,135,164,375,527,267,000,601,
096,223,590,218,135,492,101,061,067,436,725,261,961,082,634,847,199,075,054,
742,399,310,697,245,371,655,799,047,915,914,998,720,491,277,260,875,833,683,
580,141,587,804,524,129,370,819,478,069,062,289,811,414,945,361,233,292,735,
754,041,897,097,141,142,121,831,712,849,433,721,417,356,707,851,311,658,727,
103,567,335,611,392,259,841,548,155,932,282,272,192,854,602,918,479,989,329,
078,949,176,239,230,216,676,474,223,555,606,303,750,162,520,508,502,104,956,
545,827,442,921,563,188,890,058,659,452,317,244,200,743,250,009,231,987,979,
761,926,762,779,408,507,954,362,800,558,022,792,673,689,779,415,909,733,476,
962,640,454,117,511,849,870,803,815,842,739,747,253,339,991,060,967,874,331,
155,724,435,548,149,543,522,494,835,665,752,608,295,225,039,986,019,973,340,
735,501,106,211,106,660,191,522,840,418,444,027,608,578,162,367,451,095,806,
868,852,790,442,954,426,029,723,450,527,143,943,448,207,066,421,009,060,840,
525,125,002,629,830,002,433,048,641,666,728,254,989,781,481,352,259,957,661,
042,522,164,686,635,894,073,088,780,244,783,999,511,241,333,875,481,112,571,
675,724,442,288,797,670,416,926,975,338,325,792,159,490,553,972,133,783,541,
987,614,441,042,863,041,651,171,102,677,929,104,378,545,097,422,128,488,867,
081,685,997,814,224,038,547,018,102,675,577,450,800,756,285,209,908,118,273,
101,599,687,760,710,916,580,721,173,190,962,651,836,118,377,879,888,210,732,
551,747,944,381,523,259,182,966,699,197,569,177,088,768,172,488,291,806,927,
895,202,380,553,266,573,556,338,785,738,632,969,515,314,778,175,607,378,735,
932,613,630,913,880,031,247,643,050,532,571,411,046,506,458,259,554,735,980,
372,393,742,784,383,918,140,456,939,799,195,247,037,199,092,992,119,774,511,
855,487,941,153,282,559,264,961,091,480,958,466,838,602,151,294,212,434,629,
274,741,799,511,898,452,488,076,671,080,544,616,240,740,771,957,155,192,428,
590,565,683,489,763,720,662,462,587,155,135,500,075,473,927,043,950,214,733,
317,797,072,191,224,114,899,133,086,112,350,751,742,807,821,288,060,422,892,
226,398,072,012,685,148,980,639,153,420,238,071,996,494,489,328,879,352,325,
699,530,675,859,006,178,681,608,041,019,284,634,126,377,040,283,705,266,304,
052,163,109,908,041,469,474,665,971,960,115,416,595,021,161,058,466,272,975,
183,070,032,968,365,105,319,573,037,941,812,502,430,755,188,609,727,027,266,
230,169,263,687,405,892,617,514,577,295,259,896,938,000,890,225,859,210,601,
313,784,756,804,084,128,711,168,748,134,122,751,121,490,811,886,094,784,224,
682,996,292,869,719,642,436,404,670,442,915,576,380,916,981,047,447,065,503,
500,012,461,628,585,301,489,895,849,879,742,011,596,152,067,361,646,230,483,
232,832,098,870,063,037,856,739,775,067,707,059,250,728,137,177,036,685,360,
102,270,399,702,509,853,714,179,026,470,393,776,159,830,381,973,963,963,971,
597,824,894,183,491,195,391,901,424,814,697,574,600,963,033,478,402,639,454,
228,335,882,732,041,728,771,885,986,439,572,452,453,894,901,363,655,594,077,
123,724,411,473,717,083,412,304,895,766,843,081,639,331,861,730,622,706,911,
982,807,671,372,522,710,357,572,281,749,339,395,180,022,312,268,248,638,873,
867,529,342,630,200,196,723,983,373,108,542,202,181,378,289,195,160,604,801,
153,502,575,252,525,528,042,441,104,412,196,191,333,265,913,646,168,960,785,
338,445,076,219,709,986,033,467,880,183,510,830,201,187,152,277,316,759,386,
165,884,139,952,150,796,426,556,781,356,805,750,717,075,035,259,195,037,383,
598,146,512,562,108,987,334,718,904,181,571,327,202,019,889,090,665,605,857,
981,067,848,078,927,228,358,692,324,689,011,269,667,133,642,482,278,263,717,
066,573,549,365,388,144,265,488,619,159,451,655,844,476,622,354,725,218,397,
768,411,059,306,362,362,711,536,531,344,200,421,489,003,915,640,900,788,599,
254,194,033,137,628,735,840,406,473,079,905,508,785,295,473,027,672,055,129,
489,817,450,087,278,512,741,738,117,179,969,036,566,629,235,766,670,652,618,
569,805,192,720,930,981,032,168,795,794,045,719,967,903,108,930,184,331,960,
450,428,418,964,643,357,528,536,220,384,380,990,028,592,118,468,833,942,061,
508,475,406,726,018,009,037,657,906,176,639,760,994,328,825,563,724,172,616,
528,346,265,961,083,533,296,857,700,798,198,354,627,407,299,352,645,707,802,
000,085,488,665,121,675,099,431,262,926,622,549,188,685,266,376,005,531,375,
761,166,604,008,557,784,895,229,903,149,015,186,609,273,704,715,259,114,631,
212,947,004,289,565,410,130,917,969,873,599,193,440,535,744,610,426,885,736,
301,660,112,472,776,285,203,808,978,883,397,945,047,668,158,643,863,657,717,
545,153,081,906,596,625,487,882,017,405,758,497,100,747,229,295,408,762,814,
108,129,360,278,895,789,924,880,150,491,676,187,831,957,117,650,055,112,911,
643,147,632,907,042,140,164,450,396,569,573,380,733,452,037,912,907,121,999,
550,816,333,866,283,368,745,539,728,878,948,972,269,345,457,023,746,005,242,
568,266,089,272,706,436,664,430,766,641,310,865,367,104,057,662,658,785,493,
076,978,689,836,053,697,361,643,372,152,961,849,896,804,364,748,678,291,013,
295,371,170,836,000,057,339,166,584,875,553,120,226,658,031,887,253,351,314,
167,323,021,173,277,329,220,438,169,560,337,042,404,169,011,636,054,132,810,
642,856,642,507,252,808,473,965,493,054,598,602,119,038,770,213,067,868,160,
485,493,258,108,251,224,289,101,193,790,401,233,551,924,193,122,439,168,277,
668,007,820,509,603,079,717,331,832,975,075,770,764,490,702,325,527,248,550,
167,338,659,057,009,390,839,851,092,270,700,809,970,146,695,476,028,586,694,
628,848,907,641,542,235,210,006,843,393,008,418,532,671,468,097,885,027,236,
710,724,624,340,162,936,881,258,205,181,122,251,378,898,327,503,927,477,046,
458,669,845,876,831,607,081,251,013,767,360,406,313,076,780,391,057,080,189,
432,414,181,648,155,983,415,700,072,043,665,832,506,688,649,035,775,125,363,
668,002,006,549,969,453,110,862,547,037,880,627,374,628,886,103,289,312,928,
026,625,415,229,361,221,696,637,943,628,047,418,192,091,097,219,709,468,371,
849,651,300,068,512,599,465,509,874,383,357,648,902,042,437,221,173,907,308,
086,386,412,885,103,012,315,649,486,055,876,454,387,231,329,628,718,823,402,
797,861,184,303,529,865,293,127,550,203,157,507,860,318,481,912,532,509,597,
847,457,466,566,331,938,222,227,448,133,714,537,001,594,721,372,114,687,450,
651,086,146,622,958,890,733,001,376,611,759,614,760,270,107,123,720,827,710,
266,309,125,617,638,143,944,208,646,650,837,699,701,295,789,979,175,390,717,
017,694,582,145,601,844,287,945,557,706,567,897,619,629,731,185,528,006,564,
694,425,447,471,062,070,539,596,074,635,003,862,888,578,423,602,928,846,459,
046,141,945,006,648,464,348,487,380,672,596,790,101,989,716,341,600,143,001,
640,971,526,993,090,821,981,371,223,654,598,130,936,610,539,119,869,925,249,
755,679,597,798,392,195,975,504,788,918,307,296,780,554,101,946,233,798,624,
709,477,954,141,732,477,807,484,722,759,638,936,903,567,966,770,900,620,256,
400,684,439,279,176,322,887,135,685,981,465,633,588,843,734,236,363,070,290,
117,626,052,346,183,045,041,699,538,443,591,689,603,061,106,322,057,074,986,
201,915,008,330,075,953,960,865,327,824,058,244,523,895,800,346,763,361,991,
572,861,463,836,427,034,107,013,530,603,663,303,980,920,973,335,960,230,086,
875,603,922,035,845,003,349,601,328,554,271,381,621,399,607,322,040,185,799,
685,133,443,849,197,884,255,427,885,801,685,302,598,160,639,369,701,138,728,
952,379,266,885,795,456,133,488,383,768,460,494,207,414,161,829,013,656,039,
792,267,082,439,540,274,931,853,110,269,778,784,968,838,096,608,643,955,494,
198,848,753,690,413,540,795,319,281,600,155,282,699,534,052,470,249,949,376,
934,902,193,558,216,382,152,932,308,550,201,869,367,352,845,870,713,354,976,
936,136,830,993,733,376,445,581,957,974,082,965,981,768,103,626,674,835,490,
521,565,759,936,881,304,518,198,518,205,532,002,003,975,174,464,918,150,389,
819,032,821,598,170,936,420,741,832,571,555,475,309,000,971,251,022,790,987,
844,499,101,125,693,505,991,194,949,099,054,951,044,077,712,985,395,696,945,
090,569,346,769,761,321,545,711,217,111,905,736,032,955,198,930,972,275,566,
763,293,661,446,525,355,555,564,380,077,562,744,876,807,395,640,889,393,872,
541,756,721,003,862,838,751,283,002,256,041,315,674,145,362,930,219,439,071,
537,452,240,761,848,316,253,821,865,775,765,001,838,595,839,861,717,658,387,
124,993,302,379,582,814,777,074,325,567,918,455,575,914,969,967,652,031,089,
252,036,451,588,169,178,594,383,594,039,551,106,463,883,249,733,124,077,112,
438,423,149,415,165,665,302,424,084,008,739,222,420,490,706,389,928,276,116,
051,471,372,566,963,311,785,276,288,959,083,185,245,666,400,307,214,550,411,
303,877,284,782,964,160,229,305,039,279,197,914,720,732,926,329,766,048,254,
233,580,330,790,571,740,479,138,338,495,706,477,724,259,552,295,456,041,634,
536,155,491,856,520,678,671,147,738,091,236,941,049,440,709,027,304,495,467,
633,969,883,587,739,228,660,831,644,868,776,846,689,265,961,394,728,046,849,
092,317,328,958,216,769,102,321,184,369,902,579,231,795,011,834,273,676,724,
811,559,068,483,726,989,136,034,696,793,454,154,455,516,497,309,213,122,111,
094,906,438,812,302,851,280,996,992,707,251,274,675,425,332,047,946,081,176,
120,055,295,977,528,460,313,629,410,305,966,293,687,954,431,655,514,538,012,
267,765,692,322,020,145,689,939,536,021,592,573,675,385,205,257,583,649,227,
666,411,230,926,603,929,368,317,534,684,604,729,840,002,126,835,332,673,469,
534,788,398,871,379,645,884,178,813,950,137,549,746,126,442,668,141,875,706,
338,071,856,288,212,161,002,607,351,391,907,089,435,887,425,000,323,090,526,
921,914,645,288,629,230,697,729,769,551,898,698,874,104,782,241,519,040,850,
377,914,333,714,932,365,525,321,264,642,969,279,282,062,936,868,449,263,298,
971,767,999,885,284,479,063,546,245,674,570,938,070,715,375,331,402,987,134,
952,216,983,056,106,891,145,662,319,101,263,566,683,851,061,470,308,885,961,
343,020,192,702,070,054,027,262,398,244,968,625,079,556,150,089,975,400,754,
566,267,408,021,506,296,836,803,283,214,930,444,914,496,182,529,111,675,904,
043,118,109,888,484,328,648,570,267,996,190,814,321,559,562,949,552,794,903,
354,934,044,908,804,837,761,077,999,011,934,630,040,396,311,841,382,205,329,
724,550,896,043,256,196,948,706,121,048,290,762,076,547,044,344,172,891,849,
879,555,821,273,692,945,598,302,774,126,581,189,791,535,816,290,970,264,614,
967,056,356,978,917,260,666,070,879,747,246,212,228,387,009,883,251,690,328,
080,952,062,670,785,598,512,730,319,447,133,404,137,298,455,809,797,829,314,
617,942,888,996,863,588,653,642,557,899,321,203,589,413,317,097,647,164,140,
584,079,355,962,659,315,269,248,957,670,707,304,819,037,930,967,508,906,780,
429,252,585,953,443,286,824,572,339,013,360,739,206,483,197,397,359,339,599,
492,793,570,051,334,799,740,171,866,543,882,588,912,253,325,890,397,681,757,
153,749,141,441,950,546,779,282,686,822,259,575,172,765,591,888,357,129,834,
192,217,868,410,619,988,981,805,385,158,013,403,705,453,316,196,431,942,140,
150,766,298,934,660,869,078,669,804,574,608,175,598,100,500,868,007,866,950,
684,106,084,122,423,182,561,311,806,345,064,529,838,706,351,561,907,547,849,
821,348,298,817,743,999,228,388,728,807,599,841,874,631,815,745,709,618,149,
235,020,588,637,286,749,567,434,203,648,848,928,914,315,159,736,078,421,311,
843,965,855,858,656,384,665,604,024,322,243,482,142,843,188,657,904,946,352,
256,640,912,398,106,911,802,389,837,357,221,951,993,893,036,475,071,586,995,
846,560,177,479,416,019,372,521,791,393,071,565,101,980,017,567,564,666,975,
417,584,392,792,859,801,101,350,877,571,301,987,950,772,637,201,014,107,817,
074,483,457,572,345,004,491,920,671,243,969,406,545,087,363,407,897,025,631,
184,545,501,629,470,155,091,990,758,644,678,555,475,904,586,487,736,205,587,
037,598,880,937,806,197,040,940,444,061,187,156,862,367,065,217,594,821,637,
004,657,425,974,131,883,883,724,787,080,422,599,962,328,476,729,441,870,850,
491,523,944,270,245,870,057,658,177,569,565,145,736,873,544,648,269,108,783,
274,117,318,543,050,204,724,754,564,231,246,147,231,526,530,843,074,213,948,
748,396,736,181,523,520,568,187,480,076,345,377,444,876,545,648,775,804,198,
133,727,660,250,600,524,256,366,760,126,374,769,035,529,262,344,157,321,379,
987,571,932,824,914,951,566,692,591,072,404,042,851,179,266,655,765,091,656,
861,073,088,025,206,388,096,973,901,142,588,647,552,056,512,969,911,911,541,
569,609,153,223,084,130,442,950,494,069,198,040,705,694,598,077,804,612,116,
130,451,102,780,974,310,917,477,081,158,173,496,357,902,553,351,946,702,516,
759,651,629,256,288,926,102,346,601,121,104,481,931,153,640,456,117,922,038,
256,882,895,429,854,797,685,523,825,860,733,464,916,207,839,409,665,949,355,
957,919,256,392,218,615,526,833,436,727,201,753,931,087,859,498,060,123,094,
311,089,500,032,170,257,216,648,676,922,952,558,803,821,744,751,887,764,745,
196,575,673,415,139,975,852,039,604,883,479,860,282,478,838,382,926,860,284,
501,408,248,849,190,438,344,395,443,687,676,325,012,523,727,244,643,676,967,
130,913,052,445,087,336,180,354,174,666,728,910,779,759,715,242,870,741,556,
100,379,244,536,918,921,780,016,950,327,436,905,846,965,361,823,620,527,993,
185,320,096,735,778,572,174,594,956,490,264,209,535,844,435,128,963,114,243,
686,177,152,098,767,816,262,900,626,198,173,884,747,012,515,679,119,963,562,
330,131,714,176,169,032,795,578,724,964,020,316,246,566,032,148,155,711,178,
558,274,295,408,597,536,287,720,430,837,714,952,459,683,611,581,137,798,936,
655,672,212,500,891,934,548,614,811,578,692,728,261,703,484,085,006,282,789,
832,244,243,246,724,153,573,458,242,640,567,496,524,069,555,569,290,611,420,
526,844,282,450,678,983,828,547,589,847,694,580,982,134,535,872,269,052,286,
220,535,023,574,934,344,133,801,086,778,992,972,814,201,407,936,165,489,169,
380,441,975,707,171,952,350,469,443,029,836,574,107,802,194,184,666,967,008,
738,382,722,167,823,168,615,035,398,910,641,779,558,348,579,827,330,324,141,
735,027,412,420,926,180,290,722,234,277,724,315,688,584,870,220,175,509,043,
778,213,432,457,990,908,061,912,957,451,867,076,834,522,906,363,114,803,927,
950,085,836,174,012,203,912,012,010,574,219,365,251,407,884,047,475,467,551,
142,079,699,102,633,716,570,151,682,872,378,965,684,582,883,490,878,277,407,
516,708,026,651,191,394,471,217,649,464,045,527,968,472,108,346,265,301,415,
318,120,752,055,382,287,415,547,727,169,737,238,912,532,715,731,463,714,003,
791,539,740,766,490,829,114,750,272,565,117,311,682,609,283,468,962,208,457,
065,287,973,998,026,720,332,322,718,000,380,707,379,966,041,263,810,955,657,
088,162,122,742,601,112,142,566,167,828,273,064,214,331,095,013,856,156,913,
318,649,105,335,039,374,193,665,990,822,331,114,653,465,870,566,964,209,286,
094,530,595,460,403,583,245,488,289,991,702,075,449,818,978,069,871,632,729,
252,317,814,633,629,105,068,241,366,883,914,679,863,886,734,053,533,508,279,
783,439,990,708,731,897,645,835,877,563,422,907,467,557,937,988,217,767,712,
310,800,418,141,270,988,582,145,076,635,984,043,527,351,442,007,648,004,900,
435,804,025,059,190,731,358,132,042,111,395,739,364,369,089,287,145,758,497,
953,477,662,531,064,900,417,739,371,346,058,163,142,620,646,088,324,190,360,
887,402,803,801,999,402,019,238,005,088,657,105,714,295,276,348,415,210,131,
419,747,200,307,483,086,194,686,949,363,791,219,887,342,754,701,030,337,496,
469,112,972,552,861,030,992,044,719,971,919,679,877,253,001,899,228,155,256,
104,534,528,024,375,766,394,615,734,753,660,318,699,753,062,422,633,312,796,
933,063,435,252,583,716,904,533,383,522,476,015,429,527,343,154,794,955,540,
102,193,258,377,255,765,876,578,202,827,946,226,936,488,629,140,052,928,585,
436,166,680,827,131,438,616,228,143,766,108,279,994,128,451,121,354,927,172,
174,502,558,666,095,362,086,074,104,654,853,082,051,934,803,942,015,832,660,
576,187,923,891,454,078,154,142,266,086,564,943,302,879,592,625,586,066,765,
029,237,192,187,034,586,939,159,935,729,917,941,315,709,282,798,593,222,501,
635,589,268,085,957,502,751,450,583,208,363,956,339,830,793,973,346,596,562,
472,684,612,518,931,012,107,818,718,283,884,154,627,013,603,377,968,935,422,
415,901,618,765,339,236,590,832,857,870,565,617,206,170,041,598,302,734,698,
957,453,829,107,103,907,847,342,666,201,418,825,045,923,698,252,111,222,659,
460,049,248,415,882,476,051,907,379,663,214,326,457,117,657,747,640,104,274,
224,467,123,492,967,551,218,532,010,077,229,112,773,835,256,291,575,438,260,
448,555,304,798,202,407,224,003,675,719,333,994,626,810,263,845,241,558,134,
027,303,531,729,329,038,312,338,771,556,599,679,754,399,491,685,784,558,577,
676,230,448,354,195,692,869,233,498,089,416,443,486,007,194,355,984,580,314,
008,001,158,849,865,932,210,176,165,464,374,324,371,384,862,676,551,917,141,
577,802,093,104,402,917,824,188,208,087,644,356,723,994,378,266,156,625,490,
222,685,782,688,276,536,784,989,558,260,885,908,086,133,173,556,023,446,257,
537,373,241,825,071,041,202,517,756,971,251,611,232,350,257,978,361,636,665,
859,013,673,670,127,506,466,614,346,341,516,270,097,165,306,252,792,327,647,
089,054,353,084,485,250,790,390,113,708,488,204,039,861,017,049,195,242,284,
288,645,542,818,741,671,328,960,065,781,372,012,643,563,509,073,809,455,505,
337,534,767,209,685,202,019,354,687,593,634,097,354,961,451,459,066,904,787,
968,631,628,997,279,252,672,136,275,774,604,735,625,059,970,932,354,255,337,
515,236,971,217,278,272,617,559,607,321,530,379,618,034,128,425,972,107,355,
475,938,369,458,696,054,803,053,782,185,435,017,389,189,863,555,253,459,743,
216,391,110,979,387,529,537,798,152,319,299,486,552,354,392,625,426,642,862,
385,613,932,147,450,338,612,461,182,948,995,263,661,183,370,870,891,876,755,
760,300,523,385,911,866,965,248,884,901,349,948,343,195,146,385,320,789,239,
009,620,684,184,743,354,124,526,543,231,554,231,527,491,703,345,965,086,114,
249,885,435,333,194,878,641,165,047,399,462,010,657,504,512,686,213,974,645,
115,472,493,958,370,924,334,131,899,576,873,154,930,782,798,353,601,960,728,
691,115,249,486,569,763,425,003,451,408,442,074,105,957,728,398,251,059,351,
510,511,242,032,251,383,973,048,338,845,056,471,242,085,505,492,578,366,346,
445,024,263,531,689,729,163,828,888,028,551,704,455,663,549,862,860,851,435,
849,756,336,467,601,299,105,623,119,456,738,411,331,079,729,975,115,987,256,
517,780,061,592,855,513,304,305,021,431,022,020,913,829,087,072,167,976,051,
032,869,956,464,367,198,609,379,033,923,286,493,689,684,177,076,669,627,203,
438,336,308,880,318,030,717,189,688,152,708,805,860,409,943,751,097,644,662,
182,179,896,697,660,783,167,996,356,378,477,382,700,371,915,393,116,501,651,
024,850,449,806,546,640,223,946,775,057,092,553,579,001,636,823,520,834,038,
317,304,563,702,145,149,002,848,291,767,173,237,064,719,599,322,043,278,067,
174,053,195,851,619,707,028,350,117,449,053,333,841,402,511,173,731,615,867,
098,054,147,799,079,224,226,478,958,209,142,634,249,607,432,597,497,811,143,
328,714,615,168,144,391,239,435,740,894,421,729,985,911,468,074,601,658,088,
414,679,976,319,063,786,181,755,658,512,949,930,609,320,119,432,784,535,723,
590,074,677,113,086,940,443,718,021,157,549,064,865,692,608,571,880,570,337,
817,189,123,495,855,834,097,089,179,535,984,987,878,559,102,287,869,500,506,
738,080,042,140,862,928,162,455,672,409,643,853,722,526,347,454,850,098,157,
670,537,746,094,265,735,454,291,266,390,362,914,370,404,204,568,024,613,450,
447,149,399,424,606,092,270,557,558,902,517,589,209,541,234,812,725,040,716,
417,001,940,311,689,868,684,780,626,848,166,067,332,015,665,624,210,051,250,
538,413,253,857,741,517,875,730,806,033,817,436,945,275,063,612,821,003,585,
940,019,006,885,874,753,717,773,958,676,588,941,675,300,830,631,172,733,743,
156,084,658,779,623,900,037,103,579,629,955,681,187,331,725,967,292,629,258,
015,604,059,271,116,094,603,736,086,332,795,855,620,144,384,912,419,727,843,
436,347,580,818,204,640,654,797,901,170,902,637,605,021,468,119,006,331,933,
678,340,488,143,755,696,462,825,939,314,797,805,456,620,254,291,184,159,795,
627,596,570,654,897,376,631,096,327,090,696,701,486,588,567,430,025,825,694,
233,817,776,660,580,368,778,885,822,284,963,810,796,846,428,791,700,763,400,
624,555,618,221,989,921,385,610,845,119,585,435,851,800,206,557,291,171,146,
634,764,658,310,083,111,850,822,673,129,961,136,557,420,212,895,751,458,473,
090,510,969,695,672,540,205,352,028,637,975,720,776,184,972,825,023,057,910,
774,847,011,521,602,866,662,550,175,389,969,097,279,340,453,610,382,212,039,
205,361,243,118,964,558,966,215,682,342,584,886,519,657,271,610,858,179,809,
918,674,744,902,086,319,020,296,080,703,374,130,858,487,170,481,687,367,174,
180,912,429,903,057,871,521,822,337,351,151,468,680,154,945,528,390,744,795,
850,517,014,498,403,712,811,459,843,583,860,134,023,760,873,100,665,878,597,
123,179,199,476,879,205,124,462,580,298,795,664,897,568,322,479,833,567,934,
396,971,400,445,616,839,145,859,959,603,118,924,919,738,593,734,351,542,401,
970,914,369,381,815,499,067,571,071,799,337,076,581,230,437,707,620,762,761,
271,152,305,124,954,905,500,858,203,268,052,469,692,800,341,375,736,725,002,
649,882,666,596,703,902,452,513,221,433,079,506,036,186,356,980,444,924,752,
209,336,376,149,443,350,988,030,274,733,264,144,184,711,819,311,995,929,541,
884,811,672,226,837,859,074,312,102,246,629,693,299,796,031,833,409,946,826,
031,545,806,566,370,060,732,511,810,772,638,789,797,576,300,569,874,967,668,
593,014,432,818,517,341,629,959,069,510,189,850,518,025,816,339,878,515,758,
680,147,348,869,178,994,566,803,327,062,260,687,131,748,225,148,659,797,721,
067,049,015,611,744,714,562,779,287,839,504,761,930,352,677,024,009,009,372,
508,849,211,308,286,361,907,953,039,738,074,036,646,807,700,719,806,822,699,
033,516,031,448,138,782,905,446,024,847,397,466,512,873,644,058,352,301,584,
124,887,836,120,703,537,859,189,314,115,090,970,697,347,858,168,075,673,346,
674,229,140,120,389,230,198,721,716,652,303,450,781,309,646,498,283,144,905,
974,071,015,679,901,891,393,277,207,462,876,574,515,404,187,784,331,468,151,
070,782,865,549,845,951,321,210,574,992,402,781,905,104,656,255,420,600,786,
855,946,302,221,843,930,282,955,013,152,026,768,247,741,015,263,524,435,546,
559,995,492,626,449,131,967,118,059,354,283,093,656,373,588,898,583,736,907,
492,986,987,812,531,175,996,547,502,727,874,110,604,385,116,591,343,341,456,
044,180,862,577,666,049,764,523,874,000,391,754,892,275,297,492,123,323,150,
337,145,690,923,911,655,671,797,454,562,282,129,238,459,349,768,370,450,393,
603,890,596,961,662,646,641,494,304,954,757,934,907,771,571,928,455,623,455,
034,104,983,558,004,537,056,114,240,297,558,579,638,030,050,901,521,981,824,
762,619,569,639,258,728,936,311,457,630,916,011,415,268,920,149,612,582,333,
718,254,764,447,006,073,690,479,683,642,704,806,378,050,233,632,660,371,343,
514,568,843,496,509,631,719,740,959,332,242,831,015,001,539,043,520,162,742,
933,766,525,816,974,994,240,539,500,860,223,032,377,256,625,117,834,141,305,
012,213,635,313,824,090,008,951,208,391,717,233,664,078,966,432,327,717,527,
344,491,336,039,918,793,067,947,835,685,646,849,879,003,802,328,599,084,279,
874,732,986,346,292,572,989,542,013,203,971,995,262,661,073,582,438,318,883,
122,296,274,854,592,171,330,424,973,065,165,307,017,852,938,135,090,421,647,
772,087,711,354,277,230,132,933,439,585,967,411,986,738,240,743,227,323,074,
889,750,451,594,235,544,184,379,966,627,065,217,423,201,437,036,679,704,061,
176,789,707,076,931,233,096,685,186,270,503,599,151,753,913,254,509,124,348,
767,686,295,683,693,526,268,569,078,962,588,916,692,671,048,613,822,058,410,
708,552,746,450,301,236,620,419,403,651,168,212,290,025,251,544,407,478,308,
292,086,716,904,501,935,947,563,333,073,860,520,292,612,694,981,771,847,209,
987,774,648,064,076,056,801,845,836,946,288,708,134,127,300,927,027,232,265,
468,203,810,815,847,512,182,361,274,060,496,369,353,619,118,894,896,876,030,
573,098,442,727,979,230,961,376,100,408,056,911,876,270,488,099,010,898,330,
590,621,936,525,015,130,711,538,005,603,797,249,488,523,943,336,235,494,565,
154,417,803,085,490,088,099,332,337,602,031,513,972,940,939,878,721,039,924,
898,683,372,772,292,039,675,707,764,274,179,669,159,650,111,507,446,835,696,
025,223,930,920,301,314,148,565,706,725,049,559,281,063,572,902,281,294,121,
587,483,069,353,306,621,667,141,662,189,955,389,830,184,261,897,757,965,400,
114,275,889,203,525,933,739,191,474,508,373,525,729,188,754,876,024,153,894,
462,302,025,804,651,229,042,494,228,239,857,034,352,502,303,950,963,487,305,
594,119,808,141,201,345,670,101,609,790,891,832,586,930,389,232,922,622,731,
743,751,587,628,776,998,600,710,186,698,301,849,910,353,172,249,651,853,942,
434,654,870,054,767,941,403,938,786,972,284,951,621,005,857,085,152,363,124,
013,525,756,349,018,132,924,099,830,869,841,028,825,946,815,061,883,486,042,
053,602,646,529,583,553,224,389,754,969,089,269,616,496,250,782,965,737,274,
105,872,943,830,870,120,165,134,169,965,015,825,860,419,891,294,524,315,738,
472,112,276,715,720,056,570,188,300,240,802,743,822,588,709,741,038,890,994,
816,460,042,077,678,978,991,410,621,775,446,944,879,747,391,280,148,133,865,
541,096,442,654,881,290,236,620,529,068,557,179,733,734,475,062,142,655,451,
041,346,005,488,328,995,432,557,150,062,329,849,255,506,996,866,319,311,801,
692,928,056,433,057,204,679,093,233,754,312,713,977,016,008,191,568,340,298,
891,917,749,724,484,049,627,761,797,014,210,642,002,055,938,807,506,720,089,
000,366,914,065,695,456,892,775,868,836,633,053,475,868,593,199,935,022,400,
608,784,441,536,985,476,901,033,311,416,191,968,597,267,629,178,936,570,578,
279,409,321,071,933,811,279,047,514,901,585,361,392,181,233,481,013,811,928,
371,997,268,581,151,392,656,534,477,846,276,261,900,193,405,578,488,042,704,
324,849,647,889,022,930,895,730,603,267,676,653,456,296,162,978,297,777,581,
056,770,075,437,185,795,127,073,790,266,884,180,771,854,978,786,971,439,964,
690,282,067,439,647,232,857,733,773,854,473,127,219,632,668,128,444,561,398,
142,127,388,123,266,899,115,155,232,331,316,200,478,822,574,334,937,835,371,
809,659,352,030,902,408,303,906,174,222,736,022,404,069,732,542,042,126,322,
328,563,942,838,449,820,959,572,121,969,414,117,186,670,918,130,375,134,801,
154,285,123,910,014,286,988,122,698,054,566,214,399,745,554,885,761,451,220,
738,867,630,563,392,578,275,122,451,041,237,657,781,366,234,951,236,252,353,
891,877,603,455,056,946,046,482,283,798,095,026,309,668,686,301,965,186,389,
010,282,338,542,136,726,886,828,307,667,812,560,393,713,286,558,617,965,417,
158,725,242,640,781,882,112,428,222,157,432,263,753,397,941,193,249,708,763,
336,258,239,164,836,967,002,302,760,080,688,185,955,754,946,221,920,957,808,
421,816,804,977,432,151,213,421,190,841,037,904,158,739,367,905,082,915,224,
240,461,740,910,668,760,553,748,815,717,436,855,363,110,714,332,500,719,858,
833,073,879,492,703,333,857,988,938,337,144,053,975,735,762,124,622,327,646,
721,573,442,990,840,258,901,888,915,938,477,122,274,454,806,994,606,104,833,
523,439,282,880,152,322,118,434,453,915,525,791,866,628,581,067,468,253,640,
312,227,629,852,228,155,548,891,310,279,541,813,531,304,722,455,267,257,941,
603,246,952,296,253,841,647,548,207,313,620,556,776,626,238,608,632,551,399,
894,389,613,541,128,598,247,030,480,188,197,763,147,126,719,724,077,462,620,
593,321,725,576,588,035,413,510,537,758,698,011,654,594,167,103,643,529,718,
543,731,302,656,365,040,471,344,337,031,171,514,678,319,397,509,758,724,201,
142,767,499,190,451,614,807,436,908,714,834,739,230,390,556,046,477,378,494,
821,430,980,366,475,084,767,044,927,022,510,429,913,065,136,881,010,278,600,
633,688,273,049,810,296,737,409,897,155,036,873,158,019,173,973,633,900,028,
839,259,466,396,950,694,991,399,525,401,688,717,258,430,109,883,849,694,638,
102,690,957,952,149,013,231,268,959,359,986,138,479,197,259,010,727,916,578,
006,220,611,777,162,952,257,962,050,368,433,849,407,743,661,051,883,401,948,
571,861,273,653,540,146,847,548,679,148,523,625,266,105,889,401,913,651,504,
463,491,537,549,521,322,227,186,834,049,034,595,152,335,275,838,423,439,251,
677,287,042,348,824,460,735,806,218,382,647,069,962,542,693,307,483,893,822,
978,670,305,481,863,961,469,305,198,645,944,124,033,378,606,100,941,225,656,
729,173,798,438,022,290,283,309,660,045,908,815,716,639,397,866,992,866,688,
133,065,210,545,863,525,518,871,670,482,742,027,035,776,279,224,654,554,656,
560,923,029,754,844,644,207,906,025,480,139,178,080,475,964,553,850,251,517,
537,834,395,024,328,110,657,564,317,266,263,251,706,967,954,569,433,722,185,
854,912,241,987,134,894,910,043,121,646,782,047,514,840,357,747,638,216,274,
767,734,488,414,126,992,086,413,135,611,929,790,471,570,761,514,317,990,683,
948,663,668,448,050,682,418,598,019,091,122,163,779,749,484,309,699,841,278,
645,371,401,817,327,684,703,833,741,967,691,808,475,057,075,605,321,112,348,
353,272,147,787,688,181,573,587,677,019,044,390,762,472,118,563,751,819,773,
401,513,641,189,919,708,865,544,340,065,475,563,504,756,087,022,140,273,296,
069,207,588,176,617,952,869,365,611,481,447,888,328,816,521,245,483,856,952,
537,013,633,597,833,887,495,869,570,468,178,503,225,853,681,063,631,313,158,
945,430,006,174,819,395,939,000,686,882,553,600,804,184,805,550,456,224,403,
371,404,307,586,367,359,487,460,664,657,918,159,919,649,827,246,189,898,032,
049,388,288,592,625,459,300,707,792,946,886,320,699,065,969,929,957,435,008,
807,148,949,258,130,516,457,490,847,966,498,935,516,779,942,272,489,052,985,
886,631,962,946,345,212,532,493,990,982,644,586,895,017,733,556,048,477,666,
729,609,942,961,904,422,765,452,956,488,717,607,375,665,436,835,377,790,217,
053,125,815,868,385,759,659,528,327,395,280,765,447,735,999,844,625,909,075,
121,398,492,785,715,078,909,810,056,310,237,113,530,236,281,127,792,621,451,
957,537,064,029,689,279,921,137,214,492,869,995,528,608,498,377,295,719,781,
785,611,813,561,092,459,639,238,376,453,440,747,932,444,664,429,535,234,140,
393,510,426,436,912,730,316,962,302,607,646,609,185,087,567,571,376,880,894,
893,113,995,244,908,699,718,167,109,092,691,376,895,821,359,673,864,347,549,
207,760,045,533,957,319,284,854,139,061,749,876,256,385,893,087,340,641,975,
277,999,356,662,818,950,532,494,285,660,423,707,146,500,463,790,694,740,655,
213,581,609,661,866,781,573,798,313,433,698,854,604,146,152,764,087,725,542,
294,906,713,875,230,540,231,893,222,094,019,753,416,159,673,232,069,740,890,
682,138,354,937,136,642,685,273,890,359,831,015,995,314,373,001,474,567,663,
128,323,649,017,055,985,710,408,251,239,582,156,808,458,810,401,146,682,697,
804,026,130,969,790,242,176,710,445,353,355,910,742,847,421,426,107,551,389,
708,046,402,303,897,404,475,291,531,325,265,065,689,328,030,103,402,282,916,
420,504,358,067,416,076,280,756,358,164,991,833,037,634,510,764,042,518,635,
099,680,616,142,744,328,772,389,137,300,641,487,262,965,384,510,506,076,005,
531,339,795,124,009,219,840,082,312,305,330,686,215,704,359,348,516,758,587,
257,975,691,216,074,235,656,316,258,311,153,070,964,878,144,322,290,099,007,
847,538,739,003,083,740,839,223,286,193,696,747,891,990,748,488,324,094,766,
175,799,376,315,267,825,835,471,166,389,555,326,944,217,146,479,920,059,730,
592,006,222,419,590,031,210,343,448,727,179,523,840,616,036,537,424,832,281,
567,503,785,484,645,130,092,133,650,888,069,373,463,057,099,743,771,959,594,
313,100,399,603,346,889,768,947,659,366,553,652,011,042,823,828,139,394,195,
432,668,480,893,352,004,947,910,229,638,354,516,416,196,915,011,385,800,062,
438,862,978,518,554,708,613,658,977,083,422,807,898,287,681,996,110,419,568,
331,095,468,118,471,730,940,187,413,827,106,535,539,009,922,507,705,168,543,
471,177,684,512,216,514,139,289,214,080,284,581,699,451,098,365,853,277,462,
679,615,725,190,616,843,346,506,194,911,539,002,758,555,487,881,013,700,525,
384,747,244,818,965,062,700,861,804,231,760,327,599,439,170,343,997,127,588,
050,811,553,237,151,880,955,404,259,482,748,809,718,130,030,883,757,683,966,
188,078,977,651,217,110,333,704,109,470,173,635,247,838,149,169,956,440,243,
118,953,868,435,862,109,522,060,990,731,128,454,604,349,959,492,455,279,281,
930,676,163,512,710,697,179,918,966,613,878,432,236,724,905,260,960,062,880,
587,440,997,206,824,410,231,521,433,008,547,615,646,180,801,623,962,882,218,
291,055,964,554,961,253,374,564,092,932,269,350,485,839,549,716,462,114,173,
433,634,626,925,787,763,452,883,984,657,611,095,104,775,479,931,486,166,331,
522,151,901,226,808,615,835,709,428,955,908,112,321,450,622,514,874,333,830,
414,844,083,894,474,530,433,891,017,312,760,269,080,516,634,374,695,363,968,
081,898,055,270,135,220,534,057,563,655,396,483,999,165,509,746,588,652,285,
470,845,042,067,389,003,489,525,030,824,596,710,719,283,241,575,224,818,587,
873,346,748,664,880,026,420,414,968,745,173,468,213,499,304,796,364,215,625,
040,045,006,548,956,527,268,575,395,337,433,780,753,258,314,960,834,301,082,
125,604,147,652,469,356,705,373,234,018,704,331,449,372,979,871,379,537,817,
502,224,912,217,715,783,002,790,208,820,603,198,363,085,635,127,017,196,726,
763,528,102,402,106,671,007,223,598,164,917,054,685,796,906,090,988,804,386,
785,995,385,055,219,910,939,288,518,746,369,934,550,856,371,278,431,482,262,
138,864,694,505,998,722,587,820,499,332,084,504,183,385,284,856,892,796,526,
437,654,470,954,695,302,175,690,717,625,352,918,749,231,438,855,830,961,268,
056,548,149,095,744,607,650,476,050,445,588,106,814,668,780,606,778,700,661,
351,159,692,796,841,105,848,109,513,898,275,770,583,245,810,224,764,276,271,
664,168,277,731,234,961,797,068,563,357,127,941,282,363,650,796,944,292,820,
022,334,170,059,319,728,089,004,083,770,576,250,833,164,835,041,515,385,083,
740,854,422,879,419,694,824,499,076,505,140,042,375,561,543,419,361,443,743,
463,338,593,636,231,009,669,537,698,928,193,009,684,940,767,454,579,853,034,
898,873,134,767,712,858,334,550,009,464,999,260,181,096,835,653,754,863,077,
459,724,944,927,006,835,400,367,957,607,109,489,721,123,927,051,763,656,669,
075,456,992,051,197,021,801,664,040,735,355,005,491,224,259,459,273,714,672,
668,452,786,784,789,451,084,090,954,202,199,776,793,643,551,919,626,203,807,
237,945,139,146,911,600,094,889,244,993,108,515,226,900,755,821,138,060,848,
373,246,092,445,683,665,665,102,278,020,444,666,150,107,004,803,660,393,052,
830,027,857,545,778,816,365,261,252,798,227,529,070,478,223,535,132,954,055,
522,462,428,869,537,138,261,616,654,794,390,036,288,537,372,258,795,692,750,
806,687,925,346,257,180,695,458,012,766,868,185,819,747,312,730,084,810,553,
031,176,457,041,671,716,338,052,678,370,527,840,226,156,296,103,079,316,878,
285,004,692,156,479,670,382,728,248,257,890,143,655,614,826,716,370,322,633,
184,758,628,750,759,567,355,945,217,438,822,185,706,582,442,287,750,470,840,
704,715,242,153,389,600,757,079,298,707,536,504,563,225,653,651,029,628,348,
985,969,406,183,633,797,613,895,022,240,020,591,694,991,191,955,262,135,900,
383,361,004,074,114,691,222,335,245,805,021,108,328,561,072,604,047,380,447,
357,658,284,397,996,437,885,857,344,834,998,679,818,052,684,675,320,193,173,
004,575,724,947,039,879,627,404,850,430,130,935,431,373,561,880,527,342,568,
855,520,480,215,460,024,976,052,099,747,746,918,357,529,808,023,119,334,043,
549,447,058,264,119,503,970,134,919,972,439,516,125,202,646,716,418,739,392,
967,902,945,030,700,308,952,269,468,269,513,503,217,664,792,031,875,834,283,
995,500,796,083,665,252,166,929,522,652,054,349,358,332,204,095,624,795,964,
220,176,501,173,958,621,180,530,944,798,667,122,187,255,045,993,340,557,336,
548,511,641,856,003,754,614,060,637,880,607,266,971,297,637,204,896,586,819,
595,333,850,687,701,183,383,319,290,088,067,278,181,729,301,602,347,459,426,
305,094,609,468,652,366,707,774,886,779,095,753,595,527,423,226,595,753,333,
231,929,455,711,277,223,432,487,017,563,365,366,461,494,941,383,294,505,481,
441,634,477,489,845,893,443,951,420,779,279,132,306,936,656,491,642,844,594,
588,271,995,419,954,260,936,605,149,542,360,187,146,425,032,990,106,006,062,
493,548,324,068,097,847,618,470,954,262,519,067,247,983,014,538,998,021,484,
072,133,808,139,032,759,562,346,823,688,408,835,188,921,967,021,317,938,067,
335,314,926,378,410,003,403,232,533,556,979,440,419,201,861,611,110,093,680,
612,793,792,432,820,163,892,122,961,708,693,653,321,006,739,146,542,057,101,
625,584,937,312,672,170,032,621,752,320,418,594,834,364,536,928,956,452,107,
899,053,704,713,484,675,118,480,162,448,132,598,265,103,982,520,976,915,465,
918,351,953,540,537,566,893,476,109,663,620,364,194,680,102,556,231,095,077,
075,008,508,370,155,546,028,970,986,655,602,946,129,114,773,648,632,142,223,
402,068,147,577,310,214,572,103,985,003,133,087,238,932,313,856,885,234,139,
731,165,217,468,058,632,923,781,907,827,610,584,461,658,837,851,774,157,950,
814,967,457,692,137,733,527,515,959,811,549,264,932,132,730,645,777,817,338,
399,777,682,930,327,340,240,946,957,436,673,446,789,673,063,490,821,799,609,
728,709,320,187,817,753,035,159,265,799,897,686,844,726,394,202,527,743,413,
876,674,161,011,460,179,445,690,120,446,101,349,007,960,123,977,072,781,723,
827,502,386,685,175,103,006,201,915,188,415,887,059,094,630,207,900,537,053,
431,346,728,684,429,061,039,572,484,825,077,985,746,600,777,763,836,366,089,
165,577,454,176,324,356,025,047,195,313,958,497,910,750,454,525,933,688,277,
981,785,961,778,228,972,784,194,825,549,238,788,054,202,554,357,408,304,733,
749,462,027,540,553,104,748,147,583,520,193,784,522,257,419,880,364,718,139,
006,111,688,327,698,590,869,676,490,679,112,509,276,633,135,658,346,864,425,
848,650,345,153,844,346,755,115,410,506,230,914,433,094,022,997,254,012,415,
730,750,771,828,752,495,056,574,303,744,774,798,877,500,293,212,204,419,876,
338,500,331,586,170,522,775,324,879,323,478,196,529,958,695,493,484,354,614,
930,174,537,450,972,336,360,945,907,914,733,808,574,604,447,821,599,162,157,
910,616,557,217,768,030,353,747,248,109,370,813,744,095,381,930,707,973,542,
508,171,256,274,701,114,813,988,815,872,345,614,393,236,598,331,530,136,538,
436,633,779,011,020,987,023,677,965,711,949,464,059,808,445,694,005,144,137,
336,519,450,199,067,726,258,984,893,795,772,803,879,953,883,048,315,344,492,
780,324,577,237,847,199,369,435,109,449,959,140,375,828,589,105,788,201,138,
640,934,769,728,174,808,766,570,648,012,384,069,739,919,269,889,288,237,459,
559,305,926,002,412,147,094,193,769,937,704,199,150,289,666,309,877,525,454,
006,048,186,941,837,207,070,743,905,465,506,303,252,906,668,327,907,460,667,
562,788,824,270,958,071,297,176,783,100,627,619,632,282,264,273,292,683,871,
375,338,798,704,252,714,990,491,386,596,493,751,839,068,119,281,456,209,827,
772,490,812,214,782,319,001,223,784,136,213,834,677,151,385,857,484,207,225,
348,716,148,923,705,244,284,967,811,101,336,453,752,363,323,970,293,171,417,
305,545,951,315,867,049,010,245,084,584,945,607,834,810,023,870,572,095,084,
269,770,099,371,091,463,108,120,735,144,874,494,281,350,383,870,142,197,401,
605,434,621,979,224,376,189,657,056,431,822,269,570,594,879,551,757,671,252,
055,765,381,703,253,234,187,836,542,786,158,389,120,244,159,478,371,052,829,
254,875,624,708,497,866,557,790,028,674,392,009,764,562,378,957,695,852,063,
868,738,982,642,697,338,341,620,475,974,382,997,618,489,931,818,633,106,917,
506,620,731,806,135,152,595,050,029,053,147,677,148,817,946,554,686,479,401,
033,148,346,311,417,697,522,087,402,458,073,875,565,740,974,107,030,947,882,
994,213,950,038,294,605,970,202,215,858,640,559,740,594,024,260,458,413,250,
948,080,236,730,533,571,845,628,771,355,024,392,192,319,381,173,113,927,204,
424,224,125,466,356,959,779,973,207,418,150,548,140,227,921,502,744,045,756,
045,980,943,747,330,755,592,261,840,236,005,969,370,037,003,586,541,648,743,
117,342,034,408,358,337,239,129,887,844,868,554,932,276,462,080,536,705,283,
972,111,010,074,260,107,205,634,401,295,654,661,637,390,167,397,049,681,051,
017,543,674,516,386,401,587,419,775,764,547,410,562,920,046,905,945,726,734,
007,609,269,522,251,335,994,857,943,040,058,863,242,900,522,058,570,444,936,
714,940,426,276,863,829,419,959,003,899,754,221,048,223,426,388,043,527,972,
346,298,126,175,525,759,382,178,416,038,691,089,680,090,015,387,222,377,080,
301,591,572,398,604,410,304,413,576,705,725,659,673,368,641,816,764,163,122,
856,675,548,864,732,426,633,403,793,466,983,064,628,299,425,045,451,312,445,
056,269,076,395,335,160,427,691,074,982,255,070,463,304,129,110,756,413,944,
847,270,487,101,310,480,416,997,920,522,561,887,489,025,074,793,943,791,493,
804,158,842,468,975,166,590,596,335,928,591,362,447,257,176,401,881,292,265,
532,579,731,784,960,789,571,108,619,552,594,618,355,209,821,711,713,768,244,
321,165,361,799,057,892,336,290,580,681,758,230,704,700,530,261,832,888,907,
550,597,620,866,773,463,609,458,157,338,057,834,052,127,330,150,372,889,528,
161,676,028,707,363,155,482,055,610,624,024,918,752,073,058,591,660,151,323,
429,198,373,568,618,669,392,522,079,848,655,143,566,321,003,699,082,996,677,
421,535,510,733,765,787,179,127,459,039,521,761,407,995,114,462,788,478,978,
529,264,640,204,434,430,664,926,041,653,564,877,975,172,886,424,667,455,864,
254,608,149,512,467,023,656,614,457,543,823,645,553,951,064,912,223,800,358,
408,388,372,034,843,026,084,016,128,034,254,211,868,608,014,864,672,954,972,
045,137,316,136,495,069,146,942,108,422,427,213,709,462,422,688,227,375,302,
149,012,907,760,424,349,850,684,471,316,930,309,073,619,587,960,632,664,158,
240,246,397,758,597,868,528,393,878,049,956,696,465,893,801,758,617,942,369,
596,770,568,349,980,815,702,406,429,360,633,827,735,818,101,386,434,303,010,
478,496,960,025,735,232,258,848,827,327,258,440,006,341,991,214,466,855,818,
445,472,546,496,994,522,815,649,537,551,294,959,822,833,281,665,499,983,683,
474,910,111,655,808,977,630,456,105,866,152,108,354,641,866,616,243,740,850,
362,761,222,698,734,742,674,645,092,074,426,447,344,084,726,961,793,815,565,
841,579,810,065,498,436,144,173,685,545,125,080,041,343,471,586,855,141,494,
900,878,168,149,107,361,353,870,691,889,709,387,641,227,307,914,674,745,818,
424,374,624,461,827,785,765,554,687,040,027,056,458,716,666,703,552,119,802,
846,475,028,984,605,046,351,718,820,893,584,135,016,354,089,486,727,249,391,
127,220,928,095,168,656,307,224,063,688,607,771,104,969,523,719,209,239,572,
823,384,345,499,284,904,097,767,811,737,986,349,533,890,730,659,424,321,721,
199,751,085,084,339,564,441,762,161,015,275,535,445,155,224,373,714,644,627,
217,096,356,642,425,113,099,516,011,695,524,170,864,548,172,791,676,092,032,
509,716,775,909,251,484,109,283,660,433,232,195,540,694,195,800,712,101,675,
967,113,659,341,844,776,764,607,860,159,277,680,534,562,139,371,077,653,509,
960,438,832,434,715,591,757,776,086,423,484,348,270,964,855,977,532,262,824,
526,983,412,938,342,553,951,167,212,842,671,828,948,503,982,107,333,374,235,
117,879,265,179,406,288,233,622,120,607,504,186,719,942,686,924,396,713,765,
874,076,339,927,030,023,565,700,003,618,543,384,993,368,788,652,290,221,817,
809,989,324,578,491,612,219,245,332,430,130,821,337,518,967,297,128,729,867,
070,883,361,872,316,712,112,251,537,214,685,117,602,425,115,892,954,887,135,
083,378,139,253,497,964,055,934,868,504,982,132,672,317,365,519,815,968,116,
757,328,064,628,192,632,175,690,974,645,229,098,569,976,660,594,681,215,180,
492,623,186,206,064,762,866,413,699,505,931,713,787,896,878,010,004,931,889,
275,085,232,661,906,546,054,556,907,063,931,427,334,531,551,341,546,601,167,
875,573,586,101,891,834,615,265,560,398,990,609,236,458,116,381,665,577,474,
094,332,746,978,424,672,379,827,174,308,934,972,990,115,302,453,440,806,295,
288,349,296,107,215,692,984,493,477,119,174,507,907,100,302,683,401,476,496,
796,545,575,163,417,107,540,120,409,174,341,120,381,442,907,521,870,577,190,
953,962,511,507,215,493,459,810,827,685,301,778,808,339,240,729,129,689,041,
783,497,965,446,593,259,845,920,735,178,739,734,100,251,430,848,848,687,418,
157,259,320,819,630,326,755,554,932,313,833,272,355,153,875,438,783,296,307,
070,258,790,159,995,772,055,312,010,482,157,172,922,446,310,775,362,550,280,
092,409,416,933,515,637,808,255,771,631,244,109,630,074,900,644,650,827,145,
094,574,987,984,585,068,676,767,782,742,928,395,239,389,680,669,749,093,547,
127,663,727,108,791,755,521,485,042,839,024,625,021,835,652,670,202,821,988,
128,148,163,298,678,896,635,305,202,137,506,031,723,514,502,446,920,433,540,
391,986,199,470,615,554,156,655,554,989,320,046,671,078,072,525,297,530,858,
188,197,278,358,778,609,501,555,937,614,312,753,859,809,527,442,795,175,569,
988,518,333,873,404,863,964,852,080,637,614,296,795,364,559,555,675,346,815,
847,117,069,752,855,529,920,006,022,242,663,767,157,317,975,437,784,654,985,
844,731,018,395,205,669,768,368,817,730,868,363,032,316,298,729,182,693,485,
654,969,605,582,679,604,733,665,276,505,966,170,752,568,563,331,109,224,138,
715,971,278,483,772,804,009,410,220,656,479,627,983,419,674,134,358,846,225,
867,769,220,333,020,995,337,300,222,023,972,393,801,047,625,630,831,075,906,
563,882,910,489,589,055,536,764,514,251,925,734,326,168,324,264,157,484,034,
842,655,061,358,420,274,712,615,277,775,975,051,288,446,865,727,128,852,687,
914,034,932,509,865,800,373,574,207,470,929,346,237,821,496,895,679,800,472,
551,545,846,967,944,660,660,124,728,358,246,281,206,566,262,649,880,205,571,
069,000,731,834,676,222,143,728,977,059,193,848,558,523,391,852,277,028,589,
641,672,785,743,497,494,108,178,502,722,069,391,969,925,643,687,540,778,596,
433,275,650,534,896,212,714,623,339,778,577,631,227,069,255,217,664,463,105,
966,073,322,509,613,505,140,822,747,620,223,575,797,070,296,220,084,395,556,
691,532,492,026,294,156,789,803,297,208,318,098,199,334,569,691,077,324,046,
443,011,613,531,006,494,008,118,083,747,812,428,696,104,306,532,760,164,001,
446,168,139,912,222,786,296,540,151,596,094,760,287,008,890,010,103,619,704,
398,492,780,469,008,238,124,250,402,219,765,621,709,006,278,738,587,575,673,
435,907,288,083,240,134,853,526,246,819,974,465,595,211,739,856,535,543,817,
629,201,807,384,190,196,645,496,387,886,411,554,242,447,255,225,899,091,254,
016,418,348,134,531,275,304,403,915,012,682,509,197,462,270,595,229,552,736,
421,237,012,684,510,514,448,885,919,346,668,994,363,471,377,750,798,925,160,
413,882,352,788,791,957,618,205,374,309,181,946,482,908,654,616,399,306,781,
012,186,370,726,693,614,228,819,548,639,565,129,317,259,325,562,827,862,537,
022,301,598,514,772,117,323,149,163,234,786,829,485,937,077,088,752,747,347,
017,887,689,330,679,366,990,393,212,075,914,050,317,358,857,666,235,219,177,
703,259,265,325,822,738,739,576,978,884,269,595,315,604,947,888,621,992,759,
903,641,928,267,554,593,666,856,664,368,760,793,918,114,515,290,214,660,715,
067,256,822,449,875,160,513,420,948,945,517,921,302,092,672,073,954,612,966,
594,557,857,831,426,603,672,262,924,830,849,780,192,952,276,877,064,178,814,
956,241,604,604,403,402,993,301,245,476,843,849,471,421,813,639,318,430,329,
654,319,389,773,857,022,616,087,558,521,407,095,663,164,309,245,172,196,671,
949,028,830,694,135,822,081,519,054,675,165,340,545,637,036,909,750,138,589,
540,276,510,945,743,632,207,676,393,941,240,190,117,333,014,736,770,093,195,
859,647,382,628,587,342,355,424,089,041,073,091,280,906,690,869,554,747,515,
420,752,069,150,698,696,929,788,321,971,081,701,762,342,089,470,850,879,773,
895,821,905,187,603,168,702,540,211,241,643,209,351,358,249,165,036,408,690,
134,214,585,103,389,678,415,313,426,184,388,265,972,866,992,253,139,045,905,
147,339,138,053,409,370,040,912,205,073,185,120,789,974,949,629,577,628,957,
767,599,324,970,151,938,650,366,929,981,918,810,904,853,872,736,574,367,233,
156,055,503,158,607,051,057,702,719,961,766,442,052,373,406,794,379,499,978,
391,614,167,435,710,203,095,101,890,520,850,601,454,711,485,116,448,579,752,
403,424,032,985,925,762,603,740,860,183,135,879,853,222,899,857,963,241,379,
478,534,898,413,193,364,874,486,956,046,161,803,402,344,787,694,214,057,808,
550,168,332,394,768,666,931,078,669,845,771,412,440,969,100,274,418,275,629,
045,200,624,659,074,088,346,963,427,098,481,596,867,512,465,981,958,816,341,
170,571,275,878,843,960,373,719,716,220,969,555,906,871,226,793,104,295,346,
478,286,746,629,676,972,604,692,620,525,477,589,926,864,912,884,632,892,681,
193,810,638,536,759,208,305,329,868,307,750,624,045,584,489,122,948,619,281,
235,026,952,924,461,083,572,185,311,962,900,763,968,020,685,054,742,538,345,
698,204,565,032,553,601,460,253,175,942,298,602,419,984,714,767,770,781,406,
344,296,775,183,504,080,015,034,806,789,724,867,221,446,315,321,748,534,834,
133,676,742,875,467,678,660,724,304,153,092,675,061,774,974,799,475,257,080,
109,440,193,332,667,441,829,334,831,915,715,817,513,224,340,783,029,337,747,
827,136,087,054,173,583,108,542,231,111,070,619,911,474,042,790,776,567,242,
834,307,558,651,869,504,418,255,886,094,266,356,138,543,795,728,727,502,654,
444,348,558,121,319,110,650,429,600,524,768,956,043,471,371,081,402,604,649,
057,999,184,158,899,194,642,894,004,800,621,419,353,768,970,933,026,539,109,
219,699,489,062,537,272,012,010,600,019,374,410,053,631,163,615,305,586,362,
629,719,047,543,003,289,623,868,677,592,667,782,661,449,933,742,487,828,905,
455,214,612,010,239,712,332,435,871,224,074,943,370,014,797,395,730,126,835,
538,641,326,715,810,907,027,045,951,969,502,626,217,840,536,869,077,282,769,
684,688,687,658,628,240,665,453,668,501,210,498,628,055,511,811,009,911,044,
093,600,089,126,631,827,199,949,515,476,673,606,837,271,744,973,465,644,197,
918,919,887,450,507,074,490,455,565,711,100,411,471,104,687,430,305,247,604,
741,504,720,978,097,254,298,059,811,881,827,138,802,473,601,203,855,898,508,
066,244,436,487,560,167,072,910,360,978,384,251,536,934,311,231,847,676,311,
238,927,028,771,621,742,428,648,026,748,218,766,545,704,664,624,546,136,551,
424,518,987,014,484,333,858,612,287,105,020,312,296,308,111,521,621,056,428,
517,405,901,832,762,063,128,773,572,113,121,710,941,962,587,667,273,045,505,
183,625,114,067,098,548,524,669,379,131,134,792,168,566,169,290,823,454,798,
311,576,021,771,248,878,181,423,032,453,989,758,830,743,047,828,786,193,687,
414,606,851,044,913,569,452,184,425,119,879,399,828,040,996,082,268,638,876,
016,246,528,165,031,617,810,972,455,501,170,036,775,561,067,312,277,998,547,
343,373,973,824,885,347,151,018,161,704,382,628,007,671,869,875,121,378,442,
154,042,785,369,684,391,734,788,058,261,238,731,390,351,419,924,017,880,897,
439,532,923,994,602,712,211,708,227,089,055,397,015,980,709,894,346,654,674,
764,564,884,536,554,882,132,995,976,982,678,396,358,823,278,484,849,977,903,
768,908,266,831,149,828,394,545,373,630,765,808,766,959,793,008,179,127,750,
320,727,776,450,557,888,492,417,433,940,120,962,674,390,646,573,927,172,266,
292,603,651,558,693,473,003,465,597,758,217,617,294,698,479,421,916,028,402,
159,881,817,927,650,037,580,879,121,097,388,957,778,680,772,810,878,885,889,
500,813,806,297,705,719,590,847,340,567,664,784,683,842,301,938,700,045,173,
215,903,246,211,841,246,943,847,482,163,167,613,823,786,574,297,260,643,897,
739,957,641,101,649,692,517,588,467,951,819,739,412,389,164,443,905,298,043,
989,189,741,145,997,527,028,294,925,527,356,295,500,293,735,509,569,170,362,
249,081,603,440,355,712,094,745,831,918,582,259,298,268,274,635,940,606,556,
876,467,480,893,222,471,621,817,765,932,798,506,224,441,399,533,175,600,703,
927,006,659,441,562,455,181,262,045,756,820,845,419,122,395,968,977,328,693,
818,010,224,363,137,251,565,234,679,515,362,487,153,034,611,175,462,326,205,
482,145,967,375,813,551,225,003,111,903,859,320,259,064,743,122,636,415,304,
673,962,719,730,925,802,045,302,281,130,933,682,687,898,322,259,748,860,681,
320,262,881,908,380,945,777,344,410,865,730,731,980,841,783,622,030,114,973,
373,217,521,204,955,151,244,657,987,280,988,397,798,896,537,273,521,279,760,
736,742,409,645,423,595,372,465,701,973,292,279,801,230,528,387,454,290,105,
117,798,560,156,589,031,940,388,695,383,919,049,439,516,091,047,641,045,650,
540,986,345,318,537,056,399,136,980,799,024,007,090,897,101,071,858,151,198,
526,444,138,835,209,414,192,652,667,649,224,641,176,920,964,640,059,542,583,
766,920,740,494,837,734,080,783,587,830,700,031,563,887,945,822,192,648,295,
347,911,352,288,114,716,919,949,486,676,741,110,045,971,427,478,483,117,778,
123,294,493,221,382,022,030,223,850,699,130,996,739,692,679,468,364,277,995,
692,605,462,503,489,805,909,795,861,066,746,924,021,591,883,512,951,541,321,
722,562,728,225,603,311,689,726,524,080,572,331,536,619,573,523,389,437,457,
106,718,506,209,177,032,390,469,325,249,585,899,326,450,844,241,779,201,808,
242,428,878,285,752,736,909,677,604,072,604,533,268,426,075,377,652,074,592,
332,917,740,470,329,520,683,717,113,645,062,366,966,401,373,574,121,645,375,
445,422,451,993,349,734,622,735,433,120,603,340,333,307,470,797,257,198,553,
709,332,955,435,692,169,645,565,978,884,103,700,015,574,824,974,467,468,813,
267,453,978,294,577,556,291,304,545,297,473,223,729,411,122,394,562,259,980,
142,672,860,638,879,590,792,774,580,746,412,799,985,070,894,094,639,043,108,
850,223,447,576,958,048,336,972,929,106,283,407,658,385,079,705,355,343,242,
327,285,991,917,439,546,651,008,990,715,431,607,693,763,696,833,768,025,998,
163,058,544,694,387,926,184,182,524,739,601,309,519,494,016,390,493,713,662,
776,417,930,071,264,505,245,619,458,133,951,229,594,555,431,619,741,161,778,
677,242,305,242,509,519,846,899,834,982,533,945,663,998,867,990,900,230,072,
026,169,236,142,071,736,680,446,284,541,784,884,058,544,708,788,800,445,467,
551,785,257,409,270,027,894,917,870,109,407,907,678,120,246,751,003,453,641,
743,555,006,086,456,464,386,122,342,253,093,157,333,259,337,024,779,111,178,
919,134,236,789,419,574,206,049,774,034,550,888,171,615,296,294,110,274,681,
963,190,825,336,685,307,111,462,463,849,187,722,908,793,979,203,393,807,444,
793,561,497,526,289,993,579,859,153,634,322,459,948,356,460,606,075,732,881,
246,875,861,460,126,710,831,825,467,277,691,119,346,518,687,797,226,246,657,
866,360,343,793,773,831,784,235,459,621,348,556,513,796,677,746,213,901,358,
562,311,526,103,558,458,663,446,339,710,006,680,304,732,067,800,547,099,083,
083,902,709,753,874,645,901,464,052,678,165,437,265,376,772,730,196,883,450,
829,430,284,022,114,784,492,316,210,328,069,486,451,225,111,236,535,955,214,
088,541,657,795,898,153,364,423,077,982,006,448,202,091,576,600,868,665,082,
947,654,041,451,138,431,465,795,240,836,336,479,220,659,040,431,656,291,632,
872,170,131,948,562,017,742,610,554,535,132,087,112,738,410,396,721,511,292,
779,397,540,492,335,633,329,099,343,916,077,872,976,317,867,250,360,255,795,
801,403,009,371,331,614,540,999,375,716,006,394,572,066,683,089,432,018,837,
293,740,659,893,913,074,937,799,373,714,704,583,416,730,924,862,704,033,862,
206,577,852,016,255,875,027,218,115,882,126,514,393,904,257,753,001,370,525,
330,698,051,994,560,245,322,143,997,013,378,655,490,896,463,808,436,404,555,
998,551,962,926,318,672,722,232,925,376,434,350,506,301,692,238,735,438,773,
317,296,931,142,450,147,224,325,539,330,933,648,833,944,067,929,500,882,065,
184,675,420,830,604,707,009,466,412,689,206,687,531,585,563,480,335,259,142,
745,998,896,615,640,532,990,185,168,858,170,290,609,107,640,448,905,671,466,
375,972,943,206,088,195,857,514,982,675,550,437,799,482,967,189,847,173,983,
299,122,470,495,970,967,156,986,760,670,127,012,285,423,889,219,478,550,024,
609,666,049,630,237,913,374,491,271,746,102,919,838,900,383,382,357,853,548,
599,578,104,664,241,395,331,504,117,512,021,997,999,769,398,395,255,375,996,
504,164,961,229,436,681,756,848,888,697,013,893,890,346,203,515,740,838,611,
582,206,075,194,561,659,148,204,490,697,173,833,434,232,170,889,904,316,116,
444,749,369,192,705,277,966,394,534,672,555,773,770,542,909,077,431,375,101,
859,113,238,593,875,159,531,413,971,395,279,466,249,631,395,313,780,148,689,
488,468,933,076,285,032,826,177,058,747,764,241,082,063,931,012,628,813,040,
644,721,985,577,082,249,219,336,434,527,066,787,318,001,614,158,309,696,408,
634,803,449,339,828,311,409,832,932,995,631,189,050,310,746,145,989,930,333,
388,715,945,791,516,057,430,739,022,508,723,797,833,929,374,844,525,509,227,
551,992,215,866,233,513,432,888,401,525,059,173,663,325,260,922,727,556,390,
449,311,171,368,502,451,245,929,079,775,351,554,625,702,484,835,687,199,115,
005,480,769,336,823,705,402,323,507,477,845,107,236,878,161,300,427,503,375,
171,993,831,865,517,974,078,022,665,893,400,404,964,759,992,058,651,015,978,
662,225,675,566,101,091,872,184,596,305,147,319,984,965,868,449,856,893,427,
422,968,094,223,911,288,616,726,458,919,802,624,783,457,948,626,608,258,806,
191,121,161,450,611,851,719,034,401,199,459,905,740,423,400,666,651,249,777,
982,415,744,868,278,285,732,018,430,024,925,141,105,949,485,168,289,066,019,
130,320,347,892,151,476,888,707,501,783,669,099,582,744,025,860,235,281,593,
082,650,658,392,818,861,038,854,116,684,311,794,586,617,992,118,258,689,369,
046,260,939,184,003,462,610,474,299,656,514,033,986,944,746,951,425,849,816,
541,183,640,095,393,729,479,178,294,933,284,543,281,169,459,765,648,412,214,
051,895,891,022,489,152,861,254,308,355,540,962,325,736,666,627,632,393,681,
385,625,274,717,264,017,060,001,483,898,441,163,342,853,453,257,146,235,407,
586,536,131,601,983,563,333,450,289,401,946,282,597,920,587,883,791,119,597,
448,933,605,635,112,536,368,214,372,092,633,049,595,574,400,247,603,778,787,
359,545,156,724,536,739,157,705,237,610,919,760,501,068,663,661,688,442,173,
187,442,373,487,576,880,974,032,699,810,555,947,170,352,055,005,999,935,554,
131,748,574,595,801,946,693,265,375,154,909,703,073,522,294,161,369,852,416,
215,600,834,999,563,675,664,712,016,793,136,634,226,535,399,796,936,269,140,
360,602,363,854,764,212,798,462,484,628,093,849,542,884,949,151,568,323,267,
369,999,635,004,056,258,135,019,763,536,574,005,781,801,251,298,167,304,227,
161,884,566,738,787,098,064,123,229,178,648,437,952,477,586,690,041,380,243,
287,205,569,316,726,116,179,661,986,694,880,058,023,395,092,503,664,115,382,
512,464,990,575,693,436,829,426,409,616,402,214,986,515,706,353,874,884,171,
264,970,593,693,901,846,297,050,416,858,928,224,649,902,104,455,998,506,973,
336,621,190,135,377,415,291,018,289,618,599,612,177,495,394,399,641,949,281,
446,425,901,072,520,291,235,338,477,938,183,958,887,760,911,435,239,941,970,
763,789,721,852,452,446,258,628,403,640,367,267,329,516,081,995,708,711,598,
078,467,703,532,865,368,546,390,821,801,477,785,092,576,491,396,353,201,674,
378,191,028,752,846,137,037,554,845,976,745,694,593,197,096,128,652,139,898,
854,991,277,822,229,310,561,245,788,427,245,682,542,409,643,676,597,799,109,
745,242,155,759,801,071,711,616,703,924,350,573,951,754,866,159,689,000,366,
565,241,307,552,314,180,086,920,301,308,147,770,958,641,138,480,852,777,380,
770,430,572,142,049,764,730,468,722,936,314,557,342,018,201,555,420,273,562,
951,706,660,184,251,375,430,023,161,231,264,880,224,208,621,202,785,908,395,
829,024,647,395,574,836,335,995,936,465,359,687,516,467,125,122,852,500,832,
257,924,446,564,557,223,341,240,869,869,257,015,779,725,999,332,528,824,802,
661,954,242,054,855,859,486,090,068,699,866,565,342,822,056,358,602,426,716,
859,328,124,508,077,267,638,416,685,755,604,503,866,965,904,686,957,284,137,
894,738,021,931,308,540,832,726,690,429,674,769,214,188,676,877,373,674,640,
531,559,494,766,358,081,353,317,149,260,438,375,842,844,016,306,760,011,444,
256,862,191,431,634,034,014,938,481,306,872,163,573,629,946,314,808,388,492,
879,918,316,551,983,208,682,375,537,657,776,401,542,076,305,424,557,589,976,
299,756,921,974,819,511,736,710,058,263,124,378,198,755,188,548,779,032,254,
737,560,408,348,330,525,424,664,660,792,502,165,711,405,977,533,068,325,552,
442,701,447,014,659,436,387,373,608,339,443,856,368,068,614,050,847,465,000,
453,482,492,645,743,306,307,346,704,233,004,724,254,103,374,570,339,352,019,
212,772,062,168,329,449,655,750,738,095,333,198,948,206,507,666,827,105,909,
371,038,905,404,723,131,253,393,557,158,630,743,327,596,443,695,947,306,096,
722,715,502,861,417,357,237,613,613,819,192,055,712,014,064,481,802,817,834,
446,081,532,156,062,989,228,734,257,111,647,732,766,831,603,522,380,368,986,
825,594,106,039,394,576,783,133,515,112,438,901,810,242,612,619,477,761,309,
341,801,185,424,249,855,153,251,339,990,336,247,940,997,017,201,317,277,405,
336,346,125,043,820,196,074,573,447,207,227,545,434,074,886,088,894,303,920,
921,741,082,476,747,006,345,171,783,932,982,089,050,598,984,841,071,475,572,
247,583,565,005,301,308,181,110,917,352,820,033,533,597,998,428,077,924,980,
620,281,301,206,250,746,643,664,861,630,581,382,156,167,814,544,238,080,377,
932,516,238,813,242,413,494,819,583,375,015,175,952,642,403,545,442,995,364,
074,834,627,999,685,135,188,231,018,935,919,705,594,334,459,171,076,150,000,
580,817,186,161,136,384,564,375,444,942,566,581,970,249,106,767,516,988,904,
097,849,502,025,502,213,958,844,426,852,310,750,526,726,013,189,366,971,566,
027,124,142,200,063,641,076,644,706,207,105,025,550,524,991,324,538,974,771,
810,798,119,709,154,173,038,001,353,735,227,185,948,866,120,794,440,854,322,
982,843,933,341,050,897,966,025,716,421,711,095,323,562,771,511,002,283,779,
564,101,452,024,213,783,393,380,121,572,688,711,701,658,886,358,672,783,662,
975,193,567,295,884,194,826,688,849,867,050,040,895,402,813,920,186,174,013,
611,557,051,087,295,597,739,884,780,382,111,997,788,810,467,566,392,669,055,
192,549,621,918,849,545,707,608,177,917,456,428,603,451,791,140,094,786,091,
509,004,106,536,037,122,015,557,233,715,681,260,781,363,857,696,709,678,114,
465,746,883,702,132,535,852,521,353,984,440,844,856,903,103,654,724,433,709,
648,208,449,987,720,585,304,112,664,597,356,760,854,740,451,775,357,957,963,
166,195,887,371,644,976,942,099,134,056,374,947,751,896,130,809,093,727,871,
340,498,392,418,566,831,858,830,966,072,629,153,657,612,569,809,165,390,823,
584,059,997,062,147,150,916,261,685,606,752,695,746,576,258,995,195,405,822,
937,071,161,228,649,205,434,873,453,647,199,768,365,198,979,425,443,441,482,
687,443,047,410,583,234,554,877,439,413,239,306,552,772,339,830,552,456,525,
636,360,464,097,369,853,855,078,943,917,679,246,010,513,927,057,713,110,040,
537,154,283,027,847,933,617,356,444,117,545,094,530,448,632,029,849,984,194,
288,429,172,204,728,502,226,433,413,325,768,268,494,187,146,617,008,474,179,
254,364,825,643,906,665,328,271,648,281,710,313,856,114,763,828,197,463,494,
338,038,646,134,978,819,672,434,499,189,444,342,672,508,579,197,044,938,520,
144,209,866,477,523,319,955,517,871,287,456,448,608,513,470,288,639,389,537,
314,589,921,302,312,132,178,059,135,408,259,342,316,824,394,928,367,380,529,
491,034,353,671,884,121,034,148,220,762,023,918,937,390,005,362,262,133,647,
365,988,457,473,233,930,373,924,842,724,108,040,061,508,085,548,822,782,452,
329,744,867,026,949,519,801,652,701,967,542,445,129,818,129,661,365,009,278,
417,608,136,433,713,715,807,119,625,218,448,765,695,527,831,410,908,638,451,
102,682,858,070,156,841,785,143,533,234,928,306,536,993,741,089,520,646,605,
090,604,848,383,423,624,653,798,785,361,251,714,978,999,933,533,634,867,633,
373,948,199,037,009,860,583,264,801,056,830,222,771,808,820,205,419,091,724,
747,447,222,907,353,006,876,629,104,515,639,192,310,841,316,635,232,213,824,
762,471,896,062,880,347,017,691,548,079,347,690,052,239,501,774,094,630,783,
697,062,504,688,947,861,957,996,576,661,940,087,569,524,340,055,292,897,823,
196,769,159,910,023,745,966,579,397,699,346,780,956,913,488,482,208,219,368,
964,823,675,012,363,788,917,236,560,782,748,424,697,557,162,685,764,599,331,
998,643,087,398,042,448,228,003,353,533,055,537,991,448,330,416,149,926,188,
557,839,535,447,732,331,030,181,938,668,627,316,378,190,933,096,319,228,079,
262,413,219,374,811,271,374,094,323,722,337,464,805,231,346,216,989,014,724,
901,850,942,228,042,089,041,220,439,820,567,530,532,679,445,670,465,410,147,
784,187,559,144,878,300,439,299,537,350,672,704,792,406,696,696,319,065,925,
410,336,074,203,065,662,253,905,436,107,903,977,977,366,251,572,068,816,096,
084,731,321,449,416,372,730,233,516,275,758,411,162,893,961,582,018,612,040,
910,291,674,056,569,519,954,234,154,246,575,187,414,218,537,543,516,702,156,
176,605,397,210,507,938,679,100,501,244,830,870,178,297,245,996,236,833,293,
068,292,530,568,927,621,894,797,174,724,626,476,833,602,793,356,620,610,274,
324,226,001,624,797,307,887,353,522,867,276,118,490,100,889,717,695,968,729,
517,700,522,260,107,281,410,240,324,966,157,921,225,886,586,891,379,516,619,
333,232,719,263,958,869,133,161,352,292,228,786,397,364,458,940,288,571,158,
488,806,154,808,627,064,971,927,334,583,487,694,710,298,575,329,229,081,141,
708,228,557,944,515,423,465,443,940,057,442,397,576,445,844,512,178,082,825,
093,157,006,653,002,156,598,361,107,348,300,307,755,134,305,999,012,742,180,
047,517,844,571,621,247,746,445,005,754,622,769,197,464,649,022,021,492,729,
939,946,565,252,653,720,934,420,436,156,442,007,255,566,900,631,306,210,427,
235,190,166,117,475,299,423,576,674,460,397,929,426,409,796,935,315,759,481,
280,276,339,310,022,347,382,841,125,584,966,206,154,812,002,542,629,969,948,
060,686,435,144,109,112,008,494,338,071,390,163,852,667,239,251,916,109,963,
056,391,961,616,248,018,397,696,507,506,639,916,637,226,036,250,558,782,042,
158,488,718,305,040,394,867,720,354,478,519,511,732,526,889,763,503,384,278,
292,442,859,220,077,610,417,123,776,507,929,014,861,204,380,575,920,098,702,
279,229,979,045,540,922,106,531,936,186,155,883,579,910,090,772,947,233,499,
111,635,820,886,835,095,635,407,683,574,327,756,328,977,133,755,636,896,349,
336,983,784,753,417,705,542,000,071,439,091,283,588,023,078,125,119,918,391,
911,103,618,061,729,785,719,133,181,000,367,983,372,014,556,673,688,763,706,
210,712,277,060,611,209,219,725,726,217,391,476,712,277,828,388,005,841,660,
193,141,809,360,858,891,873,394,911,375,146,285,399,360,780,026,657,055,342,
939,345,830,271,662,536,287,153,121,562,185,080,008,295,321,926,043,864,048,
446,187,685,517,275,743,636,044,519,365,408,508,369,055,018,728,448,776,943,
051,819,615,349,469,360,837,346,067,802,803,876,731,679,622,622,308,126,580,
090,134,410,807,729,666,657,001,574,667,095,584,159,316,009,563,881,513,206,
493,273,341,769,796,123,052,119,825,659,962,831,979,764,915,903,679,309,268,
761,612,157,180,006,245,123,661,588,417,012,894,986,490,110,925,974,272,268,
213,083,677,234,653,679,204,788,819,374,455,063,176,493,076,811,077,897,588,
055,278,457,507,818,113,105,259,975,337,821,295,855,210,984,964,443,767,051,
175,682,251,466,632,245,619,063,034,863,137,659,986,281,335,319,744,459,292,
890,058,255,002,592,632,318,654,762,429,664,821,197,315,152,407,690,550,774,
854,867,151,076,934,322,539,087,923,508,439,002,054,819,946,803,491,249,125,
156,087,931,113,111,775,355,279,727,612,084,684,042,963,785,390,277,720,250,
934,133,815,692,947,311,895,739,682,398,190,522,471,300,649,533,114,975,073,
546,668,044,789,862,386,210,519,739,914,476,919,396,660,310,616,398,040,802,
833,120,733,777,577,901,856,777,548,623,836,046,439,577,196,973,526,264,333,
357,032,760,881,491,146,825,461,067,420,754,488,222,317,463,970,849,208,717,
652,847,158,338,276,048,327,785,518,822,975,934,687,985,963,322,578,416,627,
273,093,274,578,421,514,658,541,954,972,517,876,894,712,387,907,766,793,421,
181,705,405,950,300,076,369,860,494,745,584,790,812,694,595,190,478,674,805,
956,525,595,151,322,569,087,964,864,032,832,371,968,125,641,692,148,342,518,
958,323,772,207,216,699,534,942,633,486,179,645,847,095,788,622,854,905,954,
343,696,750,416,601,051,535,081,955,744,045,609,792,657,061,279,316,895,892,
160,408,356,113,685,930,686,632,555,086,325,692,537,333,639,350,287,273,098,
167,693,952,215,351,591,948,548,943,828,584,954,785,401,478,821,560,228,730,
410,588,351,464,673,143,231,268,460,742,692,297,356,515,244,478,749,680,746,
507,986,754,970,237,226,348,857,209,718,763,067,615,942,895,069,793,431,108,
995,628,716,115,274,471,268,617,830,744,425,361,521,723,740,583,969,985,824,
342,938,194,553,293,236,123,088,388,258,546,933,948,169,028,313,981,366,485,
929,195,308,202,188,240,776,141,500,343,883,579,609,537,253,473,791,581,224,
292,018,681,863,394,876,997,468,236,987,634,486,019,424,858,082,158,079,657,
103,815,454,021,920,681,672,699,987,265,603,259,959,883,103,332,601,563,048,
154,858,708,005,643,093,156,578,701,740,719,269,033,063,755,307,372,426,122,
195,276,447,589,597,813,285,162,754,573,193,522,155,970,493,520,793,219,680,
989,314,790,965,301,503,828,161,535,647,495,851,058,644,788,048,920,931,930,
762,879,559,255,837,535,418,634,741,862,217,704,083,018,024,478,906,730,433,
911,172,746,755,582,484,340,010,720,028,632,051,821,876,848,760,566,721,563,
293,089,913,108,519,972,287,479,024,482,031,871,388,061,820,940,663,421,043,
294,100,181,718,050,934,913,548,618,145,629,711,312,135,644,605,105,193,252,
730,835,823,534,545,771,424,494,515,807,470,176,433,715,150,296,137,019,473,
418,318,979,325,232,726,334,847,259,367,987,229,772,806,501,929,713,184,873,
958,610,757,728,391,949,303,557,708,209,064,490,660,120,982,709,654,999,812,
801,533,558,851,894,518,211,971,977,627,379,971,374,715,931,323,655,179,434,
306,965,225,590,551,578,419,486,228,323,173,081,124,446,343,150,056,246,921,
215,814,882,803,641,752,836,983,394,485,120,384,067,032,110,970,048,674,752,
689,167,445,537,161,116,813,292,916,672,920,029,426,063,488,375,843,363,942,
317,098,626,917,652,194,389,464,592,878,840,616,966,199,721,582,043,897,932,
926,043,597,826,513,390,647,664,258,675,314,310,049,544,563,183,010,192,028,
198,568,482,931,666,135,357,967,317,596,010,060,163,963,283,533,334,567,491,
480,609,417,261,258,907,225,033,305,384,095,701,131,345,929,617,549,612,820,
707,615,805,823,487,731,382,532,847,987,518,301,762,966,609,274,590,034,536,
898,929,492,319,447,409,612,422,064,096,793,868,317,084,054,134,185,105,797,
130,304,457,920,690,907,131,347,230,739,281,679,535,940,408,368,555,133,989,
679,473,014,313,159,379,607,667,235,637,451,044,933,598,756,817,731,394,196,
397,617,616,745,850,503,524,536,052,642,165,381,857,215,268,743,038,283,964,
859,134,916,031,284,701,428,674,059,707,295,246,970,095,829,226,317,722,192,
061,289,733,128,124,242,358,015,166,641,027,775,754,324,169,088,635,161,841,
585,551,466,272,124,591,877,875,218,678,036,217,071,670,167,959,926,634,183,
101,761,927,969,153,158,448,662,867,554,601,658,343,960,975,772,533,810,583,
429,755,514,546,666,918,141,071,071,342,361,133,835,918,849,495,723,021,095,
945,472,923,178,576,432,029,389,559,446,004,424,481,804,532,847,967,963,863,
754,622,915,515,736,686,876,562,755,976,195,664,020,884,084,184,467,406,112,
692,244,015,910,382,484,832,194,829,137,775,906,199,262,060,484,097,740,941,
363,234,190,562,425,660,755,614,871,597,175,763,211,250,696,648,913,949,758,
184,976,942,461,454,382,440,155,742,012,847,288,578,051,831,122,910,313,287,
433,526,938,953,027,525,495,072,561,095,562,849,580,734,907,735,957,087,325,
020,486,677,890,573,581,372,808,606,125,728,758,111,040,414,320,316,509,205,
116,243,053,665,563,996,291,363,030,043,407,230,091,545,762,342,354,898,123,
953,129,108,306,414,973,891,763,577,910,618,575,045,473,873,714,110,571,669,
971,359,868,794,526,202,950,358,275,961,685,900,053,336,114,958,099,426,370,
307,239,900,560,451,624,725,789,790,048,909,036,973,370,524,696,898,643,017,
925,559,189,138,936,826,617,174,368,393,836,009,976,773,168,750,411,036,752,
304,059,992,640,385,631,136,527,883,736,143,931,110,025,887,404,834,724,632,
582,918,765,710,429,958,516,997,024,115,753,000,003,612,781,806,976,025,792,
385,061,301,977,785,588,057,606,817,125,028,379,866,553,932,988,526,817,394,
193,260,911,846,034,649,820,335,391,778,567,079,274,318,847,098,787,538,626,
691,038,355,372,772,237,350,533,167,109,087,062,739,456,095,492,455,057,040,
317,385,625,098,783,140,053,218,490,541,548,371,717,309,720,016,934,392,583,
466,794,513,815,907,521,733,010,957,730,609,046,500,032,366,343,656,382,364,
307,024,050,027,786,758,389,669,511,661,572,373,348,189,166,243,652,254,544,
516,628,176,574,841,950,653,366,843,348,860,746,682,043,076,600,604,976,451,
903,796,173,934,802,771,519,708,747,726,489,243,424,655,129,770,137,449,733,
675,172,927,648,436,781,697,267,506,812,627,997,852,140,097,053,817,871,691,
844,869,290,499,004,494,691,570,144,477,706,099,980,059,097,264,927,867,085,
225,814,673,172,514,809,021,067,988,161,847,555,405,472,387,346,700,301,785,
639,646,752,064,529,191,498,849,076,983,803,106,186,422,171,138,726,002,976,
317,799,448,770,544,160,039,055,298,496,445,005,586,949,295,544,988,481,900,
528,470,057,082,786,340,095,673,270,620,179,277,356,747,279,938,228,172,056,
557,570,325,972,913,648,249,969,687,189,089,277,001,921,496,698,600,958,090,
048,703,670,468,539,116,781,678,787,603,015,600,608,517,360,726,039,853,378,
366,904,628,376,197,467,093,884,295,205,749,368,796,987,018,672,758,461,146,
197,803,552,978,849,368,574,139,050,375,513,276,427,559,448,921,380,303,962,
614,411,359,998,081,960,199,021,861,959,712,410,244,459,328,411,439,774,909,
683,340,195,358,805,752,352,923,768,916,006,396,148,305,943,415,683,121,861,
896,046,363,870,414,445,625,763,906,288,492,118,424,696,371,725,120,597,459,
069,129,879,550,957,665,009,076,552,400,092,046,679,101,327,244,331,784,058,
733,512,958,825,101,600,769,543,704,238,267,674,003,233,428,108,149,113,925,
035,819,365,542,079,704,874,984,857,520,526,011,820,201,099,040,655,243,318,
421,534,163,843,003,398,167,776,440,967,226,065,998,623,270,311,663,504,521,
719,811,525,972,878,144,960,573,947,147,517,080,387,651,576,816,744,482,687,
689,111,363,571,567,935,221,852,659,178,810,148,920,105,706,567,338,412,597,
680,658,808,282,775,890,739,740,106,680,998,477,052,372,075,320,395,824,027,
108,263,727,774,070,488,336,383,778,866,676,057,412,953,396,838,247,467,078,
850,264,871,997,561,690,407,001,026,845,596,548,590,963,643,186,152,722,825,
038,433,721,551,827,820,629,151,825,425,829,789,996,183,207,366,800,975,014,
183,703,113,740,067,819,412,085,754,103,872,030,066,770,609,802,085,106,438,
319,114,660,495,826,556,242,145,345,305,105,282,030,974,538,551,104,009,840,
302,669,582,240,995,817,825,043,360,861,868,301,276,328,873,659,117,539,958,
185,714,758,688,661,913,295,795,688,410,723,429,041,602,667,134,997,066,310,
484,665,850,622,986,214,816,099,852,473,432,380,622,726,100,500,788,539,181,
535,882,691,033,639,806,120,892,576,183,957,663,794,315,470,104,733,017,345,
732,419,830,657,478,830,229,494,540,881,255,569,259,350,100,255,097,423,343,
975,292,525,595,665,300,914,258,731,535,804,969,864,566,209,969,249,203,405,
518,415,936,236,685,427,042,570,494,018,881,392,495,686,940,037,746,263,337,
384,190,010,881,417,254,229,129,946,931,936,498,802,648,565,232,657,664,944,
076,767,644,702,718,917,263,183,063,077,445,389,345,731,084,638,099,757,503,
940,273,424,067,677,218,202,662,353,588,811,214,831,604,110,966,866,278,402,
550,003,401,885,814,840,508,487,962,871,782,988,368,667,601,917,684,635,512,
715,510,312,030,918,727,698,378,551,456,687,865,238,258,591,939,729,008,364,
226,146,710,936,326,635,356,652,812,211,214,140,279,618,418,929,331,868,539,
883,968,325,142,200,208,582,667,072,409,259,205,836,370,712,979,144,970,292,
155,872,816,425,243,498,213,609,415,307,989,051,566,530,208,187,687,159,068,
122,920,035,216,669,201,787,165,195,656,365,222,824,731,484,815,557,971,892,
044,410,886,458,527,506,554,591,393,243,042,029,210,062,992,653,242,362,053,
206,326,002,215,975,329,085,943,895,512,474,933,276,471,248,930,547,201,076,
389,730,452,217,972,036,024,066,417,315,558,596,739,795,586,829,241,976,091,
848,399,591,942,555,397,949,171,940,213,987,765,477,938,361,803,735,899,084,
617,266,989,921,923,590,211,963,253,667,198,636,339,829,185,487,638,560,197,
302,615,472,905,805,386,004,980,019,059,530,867,281,802,384,032,836,687,978,
787,671,296,527,977,962,214,914,568,658,088,893,218,365,275,548,005,224,584,
068,632,885,979,882,321,242,059,647,216,687,725,955,134,318,149,371,756,178,
638,250,459,087,229,675,645,534,741,603,103,855,268,783,061,020,304,156,535,
104,369,161,964,970,739,121,389,728,159,307,867,500,532,528,687,852,720,211,
458,588,621,859,623,764,401,674,586,475,127,781,513,016,778,622,609,467,503,
434,807,649,551,441,565,223,347,468,653,351,464,884,705,225,874,751,652,180,
688,218,657,240,177,276,472,125,854,365,880,660,922,711,681,052,183,711,988,
246,532,379,983,517,075,718,463,953,785,682,040,591,208,528,905,654,021,252,
424,566,277,589,107,035,476,616,273,978,674,655,283,614,070,909,886,249,661,
546,155,993,435,043,427,399,309,817,222,219,443,988,087,086,545,052,563,985,
999,200,449,362,761,600,139,793,268,398,311,899,703,422,886,970,141,646,648,
086,919,267,211,381,711,592,742,698,472,933,884,788,353,497,474,546,242,621,
387,057,963,871,378,746,275,560,356,712,366,508,500,359,212,028,751,973,304,
220,627,442,319,090,373,680,326,003,202,596,123,094,225,466,122,089,975,032,
939,331,368,934,397,630,701,735,423,072,842,949,536,690,873,846,531,832,392,
967,312,119,335,158,183,485,252,396,836,630,193,630,128,015,234,001,446,796,
228,927,959,533,407,634,435,807,468,741,982,176,006,088,936,162,405,578,437,
355,964,576,254,030,381,798,162,655,327,810,992,054,478,418,176,269,310,974,
976,099,426,184,737,748,708,737,923,330,973,909,688,003,007,640,574,771,374,
437,981,707,599,551,374,730,963,961,604,887,530,914,309,257,199,754,662,975,
117,886,474,175,698,459,574,236,663,552,301,437,195,207,837,359,525,172,343,
735,625,119,586,131,853,600,874,246,341,930,285,108,516,264,176,547,994,441,
236,217,388,355,277,891,764,035,064,560,627,541,232,541,333,139,431,101,378,
372,503,076,525,455,625,584,627,963,851,883,294,010,432,330,244,206,840,788,
155,547,562,321,265,591,761,438,948,143,397,765,265,874,306,462,355,866,082,
142,707,689,981,833,272,183,959,097,853,406,763,046,256,984,313,055,843,443,
797,895,329,492,154,688,794,875,483,050,937,694,999,475,552,265,024,006,766,
149,889,215,150,632,746,697,768,443,994,450,784,727,193,471,824,757,035,694,
486,621,408,803,701,409,931,093,474,588,994,457,545,568,359,442,950,883,034,
422,854,159,150,601,522,498,874,277,041,795,750,944,795,345,759,566,022,231,
711,088,639,596,183,304,268,217,619,041,818,506,848,003,953,068,052,558,077,
956,715,211,382,095,684,707,645,902,952,729,677,757,945,578,924,097,006,981,
692,703,968,767,131,649,319,780,199,425,816,894,597,656,882,413,464,335,909,
863,198,491,620,241,661,178,485,367,966,849,890,096,480,688,068,571,242,674,
223,195,468,629,014,726,323,776,446,598,414,257,280,308,515,864,009,039,555,
915,808,785,454,190,436,853,846,897,229,957,432,989,021,112,915,024,779,570,
101,048,383,185,826,028,597,015,711,200,014,463,940,980,561,935,912,585,308,
957,671,816,776,385,507,535,350,104,966,997,615,413,186,778,224,013,996,359,
264,854,894,725,473,819,602,488,787,571,998,261,560,602,308,409,223,170,630,
747,602,955,252,045,027,413,692,243,160,057,999,043,586,864,174,878,063,822,
659,723,484,952,234,824,840,308,802,820,219,389,831,231,801,926,093,313,140,
351,736,214,298,763,901,277,938,762,717,367,513,985,922,746,017,418,768,497,
584,208,174,089,722,855,511,940,761,629,370,547,858,022,856,781,044,176,004,
184,126,422,252,009,205,429,612,391,894,661,700,096,642,709,986,498,570,470,
488,506,252,008,910,235,768,841,094,384,741,979,466,758,619,945,242,686,352,
557,807,107,036,881,548,306,924,222,203,173,173,285,593,500,218,927,149,415,
675,187,702,137,046,349,179,495,952,094,571,711,415,291,208,945,566,327,769,
365,461,210,909,163,111,821,157,271,129,639,051,462,903,957,268,707,070,606,
365,681,432,986,097,424,860,173,497,154,439,370,187,519,097,029,876,232,587,
260,089,785,292,533,778,269,636,329,582,631,764,072,662,078,349,326,707,083,
885,287,519,351,170,034,141,249,942,516,262,150,984,772,985,856,774,856,453,
125,138,047,387,564,013,917,829,648,603,747,469,682,576,857,468,887,921,848,
040,018,935,550,421,493,106,432,455,166,008,579,928,157,748,799,114,997,717,
702,787,891,974,120,782,444,864,242,072,373,929,737,595,560,142,131,333,961,
583,693,967,925,702,609,894,557,500,443,668,167,483,436,961,100,251,111,525,
324,773,698,015,789,363,661,632,588,464,594,571,116,790,639,701,209,992,199,
523,101,036,343,842,780,874,861,801,090,051,496,639,201,508,850,367,620,875,
808,974,300,235,156,542,493,970,450,015,556,382,479,253,948,071,802,645,347,
572,930,951,137,369,937,378,976,198,561,754,946,077,395,896,473,705,579,400,
354,662,564,190,609,903,008,265,306,933,675,422,263,457,785,586,785,126,495,
856,138,449,270,283,507,476,367,933,403,429,508,951,151,463,837,533,259,414,
459,364,309,631,324,820,850,041,812,594,945,995,128,753,568,252,058,007,838,
960,479,082,661,208,761,693,292,807,478,984,451,743,668,836,325,853,911,307,
565,173,832,714,913,272,394,540,183,487,829,191,954,691,881,393,610,882,668,
544,855,644,307,016,634,830,792,450,817,501,029,433,473,716,042,271,350,290,
142,580,404,977,144,108,839,558,128,052,284,409,013,162,854,628,347,070,434,
424,750,355,327,015,676,863,933,208,860,269,894,805,149,046,613,959,905,369,
017,933,119,565,140,124,281,721,347,548,978,602,541,917,417,462,996,198,214,
602,053,255,804,867,095,307,265,646,316,041,518,013,613,975,211,393,543,520,
099,940,008,337,375,957,146,060,504,766,350,096,304,861,321,574,387,059,242,
250,656,506,564,550,062,874,251,522,201,928,966,975,705,231,049,045,740,832,
826,752,751,393,305,810,659,918,902,067,367,402,877,958,423,436,160,755,753,
230,984,775,148,496,909,599,034,016,231,278,419,782,418,857,714,350,024,434,
918,013,140,862,325,100,428,635,229,052,605,781,182,551,934,784,978,052,519,
219,253,098,707,898,087,487,734,856,391,800,624,795,456,362,339,417,120,224,
788,985,653,722,680,209,599,628,502,825,381,406,214,019,966,006,388,753,671,
498,580,940,738,364,024,663,565,504,741,171,926,422,787,207,399,761,988,699,
811,739,867,287,647,154,811,854,055,252,238,011,355,951,046,923,401,828,487,
279,075,509,086,872,809,432,429,841,937,475,375,934,537,276,599,205,417,017,
617,678,514,926,675,537,737,618,751,651,084,653,549,527,862,348,899,384,306,
929,735,523,700,664,034,103,989,930,323,403,284,397,540,142,296,887,861,532,
718,358,670,900,182,718,003,291,422,282,956,033,746,195,919,931,530,530,378,
169,827,428,166,253,632,687,543,794,798,889,511,915,033,657,062,600,737,015,
512,640,409,858,933,067,778,694,999,001,968,061,108,899,550,429,016,945,220,
110,655,208,688,745,161,876,497,783,347,666,114,755,215,923,182,343,324,801,
004,163,625,014,377,768,296,092,837,602,604,124,500,950,378,698,261,316,027,
084,709,555,210,138,917,857,461,630,246,694,626,094,335,489,836,106,002,144,
596,005,879,131,587,440,266,439,860,468,125,074,686,297,547,885,534,642,304,
659,667,975,066,212,144,132,892,043,107,596,623,917,900,934,249,954,673,127,
026,429,207,746,850,944,385,714,210,445,136,495,510,351,817,969,828,180,305,
064,617,117,277,112,377,716,229,437,278,749,702,015,386,533,429,361,445,596,
757,012,449,060,922,422,953,440,462,660,067,906,254,929,420,035,004,194,841,
569,011,653,834,501,327,426,143,480,751,210,842,701,188,383,732,119,018,141,
114,848,235,781,180,943,406,446,268,129,340,465,517,920,393,077,512,714,445,
173,252,426,458,441,864,498,085,907,872,533,680,257,478,711,962,232,920,427,
546,756,748,675,680,476,181,295,339,381,104,508,335,344,744,269,255,061,164,
705,296,229,450,963,107,824,531,274,061,638,372,096,582,840,011,544,344,211,
394,059,461,518,985,370,380,892,412,743,911,144,481,110,377,217,427,674,675,
387,337,199,304,319,910,964,189,845,155,367,617,492,739,635,004,635,048,038,
230,544,961,221,869,548,354,470,251,337,728,711,782,055,970,845,791,535,446,
612,388,244,666,517,164,875,360,903,779,856,312,627,426,860,818,341,645,907,
521,464,512,811,875,185,637,789,288,488,489,411,597,597,541,609,655,393,879,
635,505,686,544,109,398,729,146,562,988,086,293,975,906,522,427,686,379,121,
187,961,821,845,915,972,723,677,319,477,271,646,299,754,765,894,882,944,804,
867,549,783,140,460,122,926,323,873,757,877,950,730,071,387,887,411,461,222,
591,146,440,198,083,398,031,975,248,503,335,467,122,983,018,847,652,009,762,
739,476,068,879,367,872,161,320,976,170,848,182,626,869,131,787,426,767,578,
785,321,984,376,353,433,761,503,024,930,524,717,416,879,563,787,810,282,381,
835,057,509,791,320,601,968,270,601,075,636,975,974,339,637,033,984,664,542,
056,137,760,199,670,144,389,674,641,277,879,622,241,050,332,922,218,045,700,
405,864,388,308,136,016,703,354,121,024,063,594,202,479,190,643,932,145,521,
494,740,815,674,987,410,629,620,575,326,301,504,550,118,056,010,260,787,226,
841,901,801,118,134,511,122,674,322,117,461,049,223,628,933,562,307,910,447,
007,626,295,751,268,098,355,608,488,409,721,596,613,383,188,914,198,291,583,
248,725,026,199,380,961,640,469,007,954,045,101,203,494,979,714,550,875,267,
401,565,589,330,840,294,311,975,693,361,807,382,094,247,314,908,771,467,911,
376,432,789,952,632,363,788,852,864,408,809,430,309,498,796,184,064,727,081,
100,727,268,127,954,835,867,107,770,797,492,705,776,564,003,824,490,628,317,
794,418,166,564,030,451,598,466,410,311,373,664,815,983,002,457,672,099,459,
910,796,445,385,927,813,015,269,065,818,184,452,989,586,245,127,791,513,289,
674,647,671,587,351,191,736,973,244,658,477,600,354,141,424,176,883,523,249,
682,051,181,404,542,070,079,347,119,038,877,947,346,370,565,508,393,190,667,
950,006,478,331,422,426,550,355,664,705,703,659,698,706,455,838,248,598,567,
406,577,393,349,358,815,006,071,516,821,625,522,882,139,496,118,456,566,326,
507,343,521,420,622,144,139,543,318,197,924,143,422,242,141,705,782,478,920,
912,239,103,475,782,630,152,642,951,785,292,241,354,290,877,964,305,701,436,
631,044,667,056,839,352,970,353,034,964,800,214,594,690,002,252,126,792,269,
108,134,052,617,582,269,218,565,194,355,801,649,681,688,567,219,286,005,841,
853,975,021,836,176,532,092,603,467,741,762,960,489,905,869,682,444,006,164,
511,557,777,581,986,290,712,292,470,301,974,753,980,012,216,282,983,995,193,
785,559,072,515,861,379,896,157,182,503,787,676,806,181,794,159,137,894,050,
439,158,381,336,853,580,777,487,526,371,781,457,619,402,301,864,314,315,048,
518,328,858,729,807,855,834,792,674,596,872,627,818,911,530,894,228,771,570,
717,823,729,192,377,112,269,141,556,931,783,942,365,399,310,517,522,881,252,
258,310,060,395,668,066,579,910,268,036,300,004,571,650,459,820,697,826,984,
042,152,521,940,623,351,027,316,969,711,519,318,165,262,143,605,076,176,746,
630,667,322,420,812,454,343,468,837,322,252,879,157,245,327,353,870,984,225,
487,072,472,398,486,499,345,784,600,635,144,943,864,071,925,613,108,767,480,
694,180,960,593,131,081,413,010,255,704,498,294,009,849,805,252,647,933,834,
271,261,310,365,993,683,577,205,383,524,746,376,681,277,688,813,470,377,425,
659,602,834,733,475,453,467,975,560,912,329,987,050,106,389,321,254,068,965,
749,100,123,909,563,857,706,434,236,774,625,159,239,816,069,463,988,828,699,
716,873,559,672,728,917,637,893,311,900,656,424,430,504,725,811,092,299,903,
777,468,365,193,687,253,907,633,050,133,608,934,714,338,762,733,036,414,882,
371,934,761,359,051,784,061,224,521,172,541,235,357,601,538,009,783,271,250,
775,764,704,157,817,787,048,824,308,603,909,240,184,408,332,053,360,085,676,
266,905,903,750,070,856,126,595,079,446,965,796,462,337,506,600,368,874,680,
961,572,849,527,548,045,170,873,908,937,487,508,104,705,606,703,044,910,693,
426,400,727,969,636,800,948,297,388,361,973,983,153,507,600,810,803,459,199,
267,340,607,300,164,411,786,930,979,753,813,360,623,269,888,667,561,682,393,
129,542,826,036,920,017,525,946,905,421,331,842,608,042,805,727,474,469,308,
053,463,065,106,672,117,280,258,351,827,063,530,298,520,978,869,398,863,802,
256,089,379,657,915,562,600,235,329,125,261,066,519,828,868,472,510,148,104,
810,949,628,063,857,976,021,760,287,767,095,974,449,754,428,505,081,519,684,
209,303,206,368,378,422,077,887,524,391,818,566,368,561,625,322,448,289,866,
207,630,102,316,648,106,214,931,544,704,463,276,789,420,736,812,605,778,336,
842,455,375,811,665,196,890,444,695,118,630,033,843,146,267,618,123,158,228,
098,826,108,289,715,949,933,473,331,317,756,452,394,342,916,708,166,011,111,
235,798,395,082,911,341,494,059,451,173,016,238,169,488,849,025,501,571,904,
916,479,786,965,299,999,076,677,386,956,924,232,676,253,228,500,272,084,081,
667,916,455,783,909,475,505,707,905,711,413,586,330,659,901,425,801,425,040,
468,664,416,973,971,909,679,002,358,905,156,088,330,659,488,609,174,222,739,
626,746,676,717,450,632,935,110,695,117,675,843,020,709,753,902,240,346,749,
111,699,547,541,515,620,182,283,595,392,822,740,524,812,774,234,256,483,941,
202,416,642,484,468,198,507,953,267,883,572,873,643,512,628,537,024,283,960,
048,505,614,573,389,125,650,050,801,241,654,637,519,172,043,443,931,809,518,
815,994,350,726,674,142,009,484,551,015,336,778,605,227,629,576,108,951,652,
792,237,204,740,392,871,621,693,553,920,282,554,985,877,878,406,954,641,652,
047,590,498,445,783,215,588,165,598,575,128,379,854,458,878,141,428,648,477,
092,582,164,283,669,921,666,018,268,400,940,424,055,105,153,535,758,173,917,
296,935,364,118,756,942,099,085,390,252,067,467,086,209,404,843,480,150,624,
086,485,020,854,622,346,069,043,732,275,190,298,904,888,485,029,474,024,293,
346,197,680,627,364,441,103,152,938,180,063,841,503,760,244,749,583,303,111,
801,463,357,131,814,500,825,107,226,332,664,072,575,900,392,681,307,796,910,
380,011,613,254,740,356,032,962,904,918,234,809,713,848,575,059,247,466,504,
512,558,081,421,634,230,321,973,880,597,854,932,129,208,934,041,369,850,650,
311,991,920,258,841,594,643,988,038,168,034,579,668,435,124,138,919,620,376,
843,393,701,744,121,154,180,193,192,252,049,674,113,293,808,169,161,836,617,
109,884,369,909,418,010,560,295,010,672,276,490,680,010,486,438,812,940,797,
309,461,545,281,742,082,511,373,577,506,578,879,724,664,534,296,770,466,073,
387,178,598,701,798,216,321,202,550,689,341,241,148,338,242,103,909,850,671,
351,274,598,165,961,864,433,028,127,923,673,700,208,301,494,507,996,035,518,
178,724,289,560,434,942,074,542,369,619,544,271,397,131,780,276,274,782,958,
856,232,046,817,452,007,425,578,937,144,951,051,292,528,388,817,991,750,252,
736,814,478,767,121,793,633,769,510,006,188,867,137,023,010,930,269,640,085,
171,933,695,451,948,168,118,217,581,663,764,167,740,124,393,497,728,628,724,
832,650,832,457,258,328,147,864,518,517,312,772,650,301,855,435,608,651,009,
999,378,757,690,011,401,931,019,279,021,542,994,371,468,674,235,161,202,689,
419,514,482,517,051,596,590,657,535,517,388,635,031,143,272,960,438,243,557,
381,461,272,500,489,879,894,835,316,404,006,127,435,170,414,854,371,970,100,
741,401,851,408,563,075,255,647,851,179,899,426,569,429,978,783,517,466,654,
822,247,655,391,579,553,409,949,400,809,927,247,424,452,862,813,668,422,173,
331,571,314,058,162,207,890,838,681,031,909,027,622,205,569,498,873,784,465,
815,439,850,992,960,299,852,260,842,970,404,464,548,188,374,648,955,246,193,
154,726,019,651,990,341,934,516,148,667,579,676,677,100,144,728,222,335,540,
286,263,996,450,299,507,730,236,687,288,106,822,403,634,107,449,458,120,905,
397,692,218,706,155,288,212,640,432,209,253,181,117,168,966,542,607,770,893,
865,179,633,828,304,273,707,093,057,692,982,421,191,121,052,634,973,262,071,
339,802,349,122,817,499,886,550,580,302,479,502,289,717,765,227,023,317,656,
507,718,144,959,391,774,399,167,206,025,114,631,810,713,685,976,387,615,507,
631,071,745,712,759,158,356,805,488,779,841,677,293,235,431,343,537,081,003,
129,670,541,957,933,978,477,372,008,467,742,034,466,158,113,239,513,429,338,
219,779,843,045,451,577,328,808,667,415,328,685,490,511,013,361,122,146,986,
665,762,337,571,191,641,569,668,437,522,812,812,006,210,556,711,385,551,316,
717,760,012,288,681,589,176,833,936,508,613,910,316,981,659,026,646,969,297,
494,740,893,984,524,541,134,694,351,479,122,777,078,532,491,391,313,010,220,
969,622,346,744,986,932,231,139,490,061,391,224,394,021,455,799,653,319,614,
511,468,121,935,082,066,397,026,110,950,148,263,774,790,381,113,120,064,524,
679,596,870,161,398,568,318,645,426,204,611,663,938,733,072,291,311,758,250,
368,531,889,705,243,183,536,356,455,096,478,570,915,770,295,318,151,905,734,
205,334,210,746,231,342,119,523,187,144,491,876,013,413,084,385,230,948,661,
761,216,993,215,963,262,820,926,003,715,982,809,118,359,679,837,324,251,458,
955,022,750,407,391,671,019,445,759,516,077,242,755,333,741,773,756,131,313,
062,157,605,604,055,198,626,999,327,395,480,499,248,823,984,169,578,778,554,
188,478,795,040,310,591,139,037,376,525,219,767,275,620,320,722,460,764,174,
710,589,554,756,527,563,058,824,712,442,199,721,723,147,444,530,615,882,260,
201,030,811,698,672,234,964,833,090,635,442,490,571,459,016,372,598,806,905,
149,956,550,369,547,856,596,050,622,994,555,231,675,062,002,714,427,587,914,
178,683,623,104,646,303,527,077,000,107,650,632,366,273,836,721,542,041,408,
302,044,863,219,353,753,841,898,584,011,641,160,729,852,974,753,088,612,894,
852,527,976,856,320,505,656,936,809,749,789,817,385,851,219,204,330,534,954,
764,272,857,322,107,558,888,102,431,729,665,083,988,008,756,147,273,277,294,
267,593,561,581,639,891,297,864,955,334,697,354,339,877,578,257,883,346,184,
038,946,405,828,618,136,977,128,305,602,046,165,516,344,618,279,020,309,064,
014,462,859,244,613,806,828,468,192,706,814,810,352,018,344,702,489,608,180,
909,456,207,453,871,192,399,754,845,820,708,219,786,979,121,999,529,089,381,
306,563,873,070,629,813,412,149,145,409,613,323,264,045,102,165,330,504,773,
811,893,346,561,270,153,754,512,611,634,118,426,838,942,481,887,290,033,644,
319,334,022,178,941,182,136,178,486,087,998,167,456,740,491,416,903,246,282,
837,156,395,009,945,525,411,998,779,987,553,528,344,340,723,171,731,838,894,
897,815,284,853,570,675,022,608,198,568,800,219,009,253,161,109,067,873,738,
281,337,455,187,577,789,457,559,050,416,652,054,566,266,079,552,300,728,917,
031,092,239,255,530,091,961,696,712,378,614,775,922,579,998,135,881,734,209,
304,030,592,403,947,014,495,984,888,067,697,248,035,552,788,151,338,993,336,
576,068,623,119,459,262,052,005,170,671,485,133,513,665,093,656,715,555,475,
456,029,115,146,299,186,520,840,152,767,422,859,303,800,110,236,888,992,838,
774,228,011,020,834,514,081,383,867,633,444,067,677,512,230,568,159,890,996,
099,463,663,539,558,301,341,547,948,721,348,758,642,133,764,061,035,720,120,
749,802,585,976,510,204,218,071,333,940,797,622,836,144,372,066,127,353,079,
498,971,943,629,146,241,657,307,245,819,121,196,704,879,062,985,239,291,645,
657,580,052,737,295,379,373,326,692,948,895,166,020,691,838,206,499,448,940,
141,142,161,615,452,974,438,141,562,550,080,377,156,032,803,408,771,189,582,
338,194,689,848,321,471,962,854,670,431,698,983,700,729,129,291,802,099,246,
781,726,831,793,797,575,368,122,375,129,704,596,368,632,215,347,939,725,759,
294,036,492,623,183,462,397,068,638,129,563,444,866,782,993,322,177,089,656,
084,579,118,282,290,451,142,981,878,979,379,568,668,785,550,074,390,319,084,
638,449,175,254,099,835,344,426,792,545,850,086,740,908,447,315,397,647,971,
703,945,619,950,150,900,239,180,586,018,884,121,551,841,661,934,100,967,044,
818,918,653,168,023,252,540,978,059,595,039,965,874,480,280,071,120,330,649,
334,716,617,193,165,963,690,412,811,143,376,080,193,716,120,564,794,540,185,
835,209,654,379,618,554,061,583,968,728,112,154,115,620,045,395,438,635,302,
263,592,633,318,349,691,627,520,815,194,644,349,946,824,154,283,754,076,778,
516,743,875,290,581,973,613,064,915,147,301,849,151,092,885,167,775,964,480,
685,613,273,858,534,993,541,824,779,067,929,629,771,804,310,718,280,783,879,
250,608,177,637,996,004,591,570,361,140,501,565,089,543,273,809,027,002,658,
135,542,744,064,296,697,412,885,907,928,504,039,779,576,279,542,493,123,129,
985,363,758,877,723,125,239,348,712,620,441,039,660,540,053,319,957,894,954,
956,810,333,970,989,557,133,562,903,232,689,054,197,412,376,034,644,165,604,
649,998,399,093,886,343,371,982,292,841,064,179,581,595,582,799,248,594,345,
399,109,611,162,855,188,087,327,128,126,148,891,023,044,386,811,839,044,155,
677,423,058,643,460,316,711,873,175,659,494,814,525,292,553,498,126,099,346,
214,694,826,056,105,665,138,787,643,408,011,280,078,788,383,460,731,349,140,
706,565,769,215,333,525,484,719,816,720,986,318,001,436,653,699,419,685,032,
666,987,288,926,452,980,040,759,064,030,949,372,632,312,986,193,642,253,449,
395,972,497,729,073,966,869,965,931,055,788,782,138,291,093,957,967,024,759,
769,330,778,330,909,366,908,388,890,253,342,147,374,974,806,137,567,743,338,
076,771,190,208,563,941,912,611,162,326,867,025,723,970,723,868,442,033,974,
958,207,841,871,557,309,062,288,559,220,009,077,528,652,752,460,478,538,311,
981,601,523,209,143,944,444,631,140,303,549,743,056,852,275,836,267,509,562,
038,679,533,598,382,989,107,142,038,748,203,536,383,383,429,701,809,462,760,
832,348,184,347,782,867,607,017,970,894,131,181,696,574,048,431,824,319,842,
284,176,084,287,758,331,343,678,328,661,269,155,730,609,656,589,285,578,226,
732,162,932,076,821,797,108,741,637,807,182,827,794,610,250,654,385,016,752,
360,140,040,218,845,086,769,379,626,522,517,241,857,340,734,036,747,114,018,
292,495,625,896,821,732,801,244,839,494,665,567,863,238,422,948,337,169,611,
865,663,737,558,630,156,552,636,823,004,369,638,310,287,180,768,392,093,532,
109,461,853,926,155,649,925,417,798,608,957,518,895,946,798,961,098,832,549,
630,347,647,587,903,256,504,436,677,727,787,759,797,702,169,990,286,720,997,
042,119,849,108,647,633,806,208,738,280,115,599,023,438,504,747,197,660,552,
403,500,075,075,986,613,208,149,833,784,330,723,625,283,572,683,294,661,905,
435,172,004,979,699,547,035,910,580,189,512,507,004,447,089,434,418,249,498,
006,222,624,374,756,691,404,485,541,632,121,719,701,148,525,425,873,516,552,
907,446,502,704,146,764,950,136,363,534,245,982,058,169,798,143,605,346,644,
825,620,542,932,159,305,811,400,141,339,173,973,156,400,502,481,304,512,709,
074,827,621,614,888,538,605,398,339,713,220,051,895,868,400,457,186,155,229,
399,106,929,808,554,025,316,741,716,514,779,169,097,701,976,297,886,080,714,
992,453,031,125,053,853,201,184,932,318,333,248,924,042,233,351,435,298,601,
497,572,340,061,157,860,024,357,551,212,334,449,438,382,275,730,482,254,489,
352,823,985,514,156,683,115,046,556,415,370,640,731,329,342,861,630,808,867,
255,090,589,437,485,470,038,455,070,647,758,578,315,777,362,671,027,915,504,
151,158,335,724,653,247,923,277,699,465,754,783,993,953,249,815,497,569,270,
263,541,147,939,427,442,819,043,493,696,878,720,104,886,194,768,646,180,974,
247,778,628,371,322,055,978,033,725,459,598,275,411,017,233,358,914,216,176,
522,628,366,859,244,920,087,187,130,694,541,525,378,821,433,774,471,056,534,
108,071,208,502,929,280,906,592,455,981,896,994,694,493,530,438,180,971,422,
720,769,769,423,833,136,363,146,166,405,230,665,476,767,471,858,752,300,801,
227,459,251,878,957,132,252,652,249,561,124,695,660,178,584,939,963,156,310,
945,114,325,569,134,448,037,689,774,352,770,709,952,823,461,333,436,430,926,
535,620,773,008,351,353,939,831,663,823,930,839,746,388,539,867,671,314,630,
740,788,750,267,217,775,988,118,611,211,307,240,572,986,750,118,968,562,172,
769,970,640,352,634,361,625,388,628,959,833,057,509,912,261,201,011,819,821,
792,142,699,462,515,155,494,330,550,174,607,397,881,188,616,557,452,980,594,
188,133,450,708,708,500,396,940,425,792,633,768,248,676,362,084,913,961,264,
805,658,227,616,030,208,883,207,467,810,615,272,154,616,385,558,750,898,846,
092,278,580,505,231,664,101,712,008,759,421,142,169,297,948,252,331,027,078,
909,036,541,278,527,220,110,556,651,643,551,077,560,735,170,661,627,411,743,
733,750,492,500,260,151,319,168,094,772,758,839,793,258,850,752,516,037,504,
127,167,017,772,448,467,545,315,667,668,301,643,241,483,124,761,308,263,199,
051,186,632,507,044,520,059,252,957,561,631,492,539,656,674,625,426,329,167,
674,383,903,309,929,233,693,398,398,087,068,835,387,198,361,427,421,110,848,
711,921,912,974,956,758,880,223,128,684,323,660,480,103,142,626,728,797,102,
478,535,772,711,408,955,340,378,695,714,762,991,268,421,295,689,566,775,477,
209,854,944,828,590,272,066,933,414,913,573,829,091,288,416,944,418,322,702,
417,399,750,649,821,550,880,510,647,019,521,078,298,980,879,061,608,772,232,
729,130,692,453,395,618,884,334,803,348,538,234,561,920,762,267,147,979,053,
362,453,113,558,541,873,741,096,553,400,324,007,856,233,631,930,956,385,444,
891,410,103,103,261,252,471,280,724,419,403,048,086,219,516,191,625,256,131,
324,840,879,270,972,464,081,828,370,469,873,697,184,881,324,998,539,305,602,
064,565,942,817,625,718,935,251,608,132,779,851,037,838,222,385,184,556,285,
725,015,846,818,834,720,292,565,913,742,834,098,054,324,907,323,349,382,136,
961,377,409,196,728,980,937,974,521,544,029,030,264,741,503,006,652,187,057,
393,200,008,619,512,272,152,639,945,425,774,239,334,380,293,428,940,745,685,
814,834,764,951,244,415,524,263,408,002,759,327,525,205,107,173,283,217,777,
091,706,935,117,883,178,827,454,461,286,948,720,468,399,409,711,087,223,131,
306,677,081,953,882,808,870,312,582,398,440,077,499,080,332,143,652,015,214,
705,826,771,674,997,638,450,440,563,595,144,164,940,013,867,787,339,000,206,
760,194,683,839,441,303,461,925,554,970,850,558,450,716,585,242,442,905,451,
438,019,923,747,815,708,003,120,051,065,570,878,398,697,035,159,125,611,031,
002,324,547,233,078,670,694,680,259,198,550,013,689,286,416,027,350,922,751,
582,021,568,699,893,645,151,397,479,266,320,901,820,347,781,675,890,983,664,
804,837,923,523,471,650,977,288,934,257,285,662,089,119,044,109,213,351,114,
504,276,765,743,525,695,117,770,127,880,564,758,433,380,543,556,045,035,137,
844,427,062,302,583,663,059,549,006,200,467,806,728,664,654,214,903,831,411,
446,647,807,891,697,300,457,551,609,647,302,368,223,046,289,141,611,912,536,
806,973,108,109,901,937,231,579,238,870,982,645,412,103,820,755,612,432,264,
155,934,311,350,224,246,355,977,291,219,949,833,207,039,970,672,339,514,812,
949,439,295,394,711,013,628,260,170,722,664,891,573,935,410,001,574,533,691,
103,866,186,840,224,984,266,036,415,672,102,663,477,786,236,380,060,236,155,
759,021,891,238,838,351,146,299,424,287,362,968,168,716,175,844,336,349,955,
936,306,643,823,853,108,855,661,264,918,564,676,695,090,191,402,694,207,839,
478,216,278,320,666,195,004,472,395,685,120,584,767,627,904,352,157,400,221,
587,234,859,333,412,449,396,776,281,084,424,472,436,502,416,708,159,361,011,
479,392,652,400,745,390,738,701,065,524,937,540,157,586,333,385,686,654,678,
970,394,184,634,422,801,971,822,516,150,793,376,508,534,103,702,376,666,005,
570,375,265,827,262,713,512,740,652,922,542,149,645,900,936,379,417,164,676,
365,322,194,605,266,012,423,698,805,677,599,718,042,467,478,670,995,129,978,
248,431,681,358,084,293,523,697,172,128,637,043,420,011,504,048,446,967,421,
408,182,688,567,750,154,865,966,274,275,296,094,204,997,728,759,712,530,059,
574,373,768,794,422,460,714,269,695,081,474,635,124,142,159,052,497,045,148,
578,259,360,605,123,983,819,331,473,075,196,373,110,236,015,720,916,493,659,
295,680,364,528,057,129,666,511,222,407,406,565,279,566,422,838,548,025,958,
898,803,688,111,988,589,705,215,865,072,337,691,972,798,487,551,735,897,279,
515,378,397,405,112,769,787,208,966,222,379,065,883,934,565,356,501,453,454,
403,006,542,139,125,481,559,439,754,918,914,969,757,891,504,970,533,615,973,
885,778,421,672,300,836,461,514,270,399,203,991,191,471,319,975,902,377,595,
174,367,368,151,362,545,436,807,955,760,098,341,799,124,346,227,488,215,904,
007,952,794,800,071,335,665,268,347,203,576,425,839,792,907,073,132,327,432,
164,798,040,203,499,809,145,331,493,502,974,183,678,428,341,209,296,612,441,
790,527,077,573,150,797,351,032,635,140,733,047,063,569,785,570,964,563,690,
551,466,012,088,658,433,287,120,573,315,566,280,957,039,367,525,877,690,445,
388,930,311,956,376,236,396,466,142,531,531,374,902,171,575,061,608,551,526,
490,674,462,766,901,216,550,229,917,024,317,747,266,731,188,724,798,834,857,
056,556,992,352,701,246,783,732,319,560,420,525,290,132,336,418,489,661,567,
324,688,679,830,551,874,832,144,187,655,335,300,971,915,633,768,242,925,932,
804,560,697,607,852,826,951,531,662,122,517,138,933,392,464,446,395,061,715,
503,998,278,465,123,280,554,315,537,816,082,787,009,238,667,334,275,045,562,
821,762,297,063,120,084,397,006,667,200,737,823,453,312,161,643,103,479,267,
534,634,622,887,741,424,694,844,825,560,424,567,498,126,487,626,822,350,710,
652,724,547,211,088,143,153,655,810,006,126,810,712,952,313,229,016,979,796,
899,593,431,742,297,953,271,353,781,558,854,870,510,829,940,047,116,354,566,
234,600,073,048,795,637,674,432,851,320,337,435,965,167,650,504,220,400,808,
679,268,862,122,741,811,606,849,961,727,686,388,746,326,114,996,584,836,062,
884,744,555,927,503,494,990,745,845,738,578,806,298,689,870,940,689,057,256,
014,037,152,384,313,249,615,521,100,113,500,035,516,710,236,689,172,539,513,
217,682,309,515,358,122,420,960,649,166,740,393,395,718,102,310,941,067,550,
403,184,929,863,549,009,112,860,760,945,350,715,361,329,442,169,314,157,637,
982,960,328,542,476,590,945,672,153,583,413,223,187,053,067,753,124,269,681,
151,098,171,201,583,213,911,766,536,551,864,695,154,901,305,615,160,650,101,
155,620,452,847,068,763,425,108,152,208,742,060,669,026,348,276,849,419,690,
608,020,429,955,902,646,751,353,716,384,235,123,501,012,536,147,589,704,641,
578,037,311,647,784,054,535,372,258,864,066,565,420,074,979,972,030,119,823,
079,351,448,874,073,737,629,503,739,343,174,541,765,465,560,861,924,023,230,
565,694,054,135,332,463,007,868,759,423,410,075,966,513,138,717,132,579,347,
955,436,783,810,736,584,841,905,611,594,355,157,728,182,453,289,894,682,123,
754,067,264,180,248,659,772,703,137,355,562,168,949,738,785,991,587,681,191,
918,755,822,809,630,666,713,663,212,371,629,899,381,712,727,511,987,189,103,
072,147,197,450,414,373,349,765,712,678,173,593,166,426,755,939,838,589,502,
924,254,500,406,805,858,888,692,285,031,868,110,520,202,109,796,066,759,673,
234,119,481,955,828,787,914,997,967,032,073,843,127,662,210,982,726,706,616,
754,905,503,400,653,627,306,871,765,553,839,526,802,934,441,203,481,888,502,
353,578,736,180,131,556,166,662,946,355,501,161,833,623,233,797,312,648,206,
057,003,634,214,727,767,130,669,452,035,575,297,384,670,256,067,674,735,105,
326,123,978,073,146,488,630,630,640,107,638,281,284,700,706,386,563,073,081,
246,928,975,354,204,513,842,746,134,581,269,621,959,339,448,219,532,215,477,
772,156,171,046,388,405,229,965,471,947,111,477,177,421,375,985,641,558,372,
173,862,110,841,742,404,624,250,941,787,051,663,150,737,105,797,993,323,331,
920,623,438,937,486,948,717,532,788,340,117,464,291,378,706,449,385,061,124,
582,545,176,135,224,280,955,640,821,686,089,066,588,771,600,429,470,315,399,
449,195,946,754,901,257,701,602,251,893,915,997,757,483,680,466,548,007,840,
786,210,821,814,015,320,936,819,249,224,279,379,287,933,433,992,138,876,308,
761,522,140,856,195,529,658,317,695,723,622,202,388,169,094,373,832,641,068,
061,166,203,623,880,289,344,295,362,922,114,534,230,031,880,491,960,363,862,
161,247,270,858,727,557,902,509,845,974,954,505,894,162,112,774,589,844,298,
536,215,869,749,935,473,420,305,044,723,422,312,115,146,212,359,938,590,808,
199,422,552,364,494,485,881,486,859,872,808,885,182,905,140,767,561,420,531,
933,084,302,721,608,423,988,122,905,138,977,478,399,200,132,073,876,451,252,
656,532,966,378,977,102,895,996,985,559,625,595,530,686,086,373,308,973,310,
483,566,411,554,805,820,770,006,322,583,225,352,502,915,440,523,084,593,756,
991,117,230,909,898,818,839,366,053,196,560,190,683,777,221,239,507,099,531,
279,602,406,839,278,438,857,214,039,537,900,767,180,048,250,377,344,956,191,
474,216,807,721,112,234,139,385,912,459,589,458,199,094,213,048,704,364,221,
837,629,468,158,585,392,946,211,897,169,862,272,570,457,392,878,677,703,543,
221,064,348,631,306,892,766,966,451,310,101,269,860,279,548,977,319,845,579,
464,689,639,655,593,808,682,780,095,701,072,842,265,963,076,736,687,627,260,
775,242,405,680,520,943,069,586,992,652,739,073,162,680,929,729,427,340,508,
263,273,085,150,631,956,134,188,036,605,815,922,314,843,372,731,711,827,610,
254,258,964,974,051,480,618,636,735,818,384,119,697,081,679,673,125,519,147,
092,398,715,794,399,394,537,635,316,113,403,216,222,287,002,271,485,186,025,
479,114,846,900,291,090,013,344,278,059,211,533,485,383,230,640,021,955,100,
396,680,965,459,265,063,629,471,322,782,217,905,214,929,982,099,023,722,047,
521,591,034,543,967,535,427,920,865,258,800,116,783,145,034,574,632,499,909,
174,450,701,481,988,394,736,981,890,429,868,349,588,583,151,226,161,936,925,
727,952,096,989,218,344,470,887,927,497,704,242,970,740,213,209,129,917,089,
677,243,331,827,377,042,035,607,364,050,710,027,104,549,731,759,640,043,757,
187,694,229,806,748,899,036,897,873,388,565,977,949,738,657,933,507,823,522,
961,180,382,551,965,703,360,717,940,260,826,899,957,804,763,876,883,917,685,
475,480,097,990,025,736,846,709,434,252,105,245,792,736,287,680,871,669,930,
294,347,410,621,949,636,365,122,107,996,060,102,930,145,999,820,371,627,025,
778,488,586,340,771,950,923,487,904,392,252,077,026,505,263,810,283,122,267,
671,797,585,279,350,784,047,006,014,300,386,762,861,223,451,700,699,175,234,
523,429,374,844,870,805,754,503,513,733,999,603,344,455,822,468,958,543,644,
357,704,900,780,437,640,434,016,674,726,799,220,740,309,893,274,305,594,416,
382,586,739,670,824,619,513,417,526,922,059,897,530,579,362,327,985,794,977,
128,625,611,667,693,424,491,939,581,267,120,498,833,336,469,623,834,734,556,
388,565,777,817,960,524,840,203,856,141,385,713,817,948,583,525,725,904,915,
831,505,735,264,179,824,766,713,924,704,389,040,173,153,234,417,621,754,901,
981,426,557,544,029,679,052,369,097,584,931,850,658,976,681,030,723,013,626,
790,084,989,838,217,207,124,874,306,863,726,829,478,614,805,714,507,436,133,
662,535,206,855,806,755,157,524,755,173,477,237,151,707,130,207,365,182,291,
089,622,648,324,245,902,499,833,261,584,651,389,535,461,707,071,271,139,369,
030,578,688,595,045,583,971,845,015,858,527,671,912,770,440,460,246,029,329,
026,685,406,306,704,260,632,831,458,237,186,782,733,356,951,398,415,122,048,
871,807,596,248,752,070,296,632,324,567,553,002,548,354,836,184,124,345,986,
274,798,744,612,616,745,979,602,553,845,265,013,896,389,994,857,461,576,385,
727,609,624,128,908,778,213,969,014,802,254,510,587,721,470,088,480,184,156,
979,010,919,618,240,744,640,394,449,492,708,631,059,617,703,681,385,928,333,
789,436,676,852,375,525,052,524,376,710,678,573,532,916,887,058,254,530,269,
836,388,164,352,814,364,958,826,650,919,443,826,980,534,100,856,289,472,181,
220,714,151,785,338,203,423,800,179,355,246,800,438,053,514,483,987,797,365,
615,415,241,782,657,022,655,588,716,981,280,411,340,790,776,358,811,118,510,
915,987,274,955,343,012,200,362,685,027,711,245,678,679,416,420,240,801,790,
363,741,404,932,027,389,530,519,299,992,650,257,282,370,469,169,040,292,215,
285,033,855,851,662,924,775,798,781,458,507,059,996,094,012,278,362,219,229,
905,372,483,318,665,344,516,779,185,993,635,705,376,644,822,681,253,372,161,
975,372,187,392,432,641,411,875,184,043,981,653,923,891,669,465,104,385,951,
754,513,218,537,084,404,417,487,178,495,924,424,784,719,367,965,876,527,719,
313,956,768,219,873,053,223,844,064,577,029,720,905,872,948,286,264,719,353,
232,649,842,391,241,365,663,339,658,811,273,570,747,929,364,165,172,378,312,
415,979,637,609,815,349,934,104,218,135,562,919,453,285,227,362,055,368,642,
143,019,414,398,113,052,874,582,592,466,333,388,717,976,638,263,559,393,105,
189,919,606,143,137,106,121,277,691,906,980,382,346,133,124,180,063,228,750,
903,749,457,774,070,563,309,642,543,016,902,043,313,114,895,345,088,831,235,
209,538,768,092,110,089,074,298,551,603,747,821,802,154,746,605,259,421,105,
613,666,938,093,188,329,795,347,415,514,502,762,970,090,515,480,586,987,970,
941,020,874,626,953,494,690,507,619,925,435,524,573,256,176,216,267,400,515,
947,964,211,030,682,188,382,585,829,677,821,293,133,889,286,032,672,513,406,
374,274,516,593,083,224,242,628,481,802,264,197,124,034,920,660,111,747,333,
271,900,363,672,022,805,254,483,971,305,867,300,144,841,489,487,213,942,967,
468,242,681,096,354,358,839,508,477,052,995,286,752,369,792,759,624,071,018,
951,305,196,340,023,680,450,956,445,569,961,347,678,439,290,926,752,806,845,
847,206,389,682,183,692,357,922,701,000,406,888,808,628,981,794,458,908,720,
499,059,919,343,587,014,478,287,533,236,776,219,634,974,761,919,715,881,265,
947,830,315,345,099,376,131,269,726,843,498,174,781,521,200,427,441,753,552,
550,913,715,973,338,349,647,738,551,273,617,277,499,273,401,345,064,987,867,
627,689,947,468,346,317,762,192,822,916,909,486,503,912,279,312,503,110,700,
118,003,196,178,013,721,714,311,389,021,479,321,135,838,230,655,817,911,355,
371,439,576,953,739,397,451,949,244,261,059,037,399,731,341,677,070,976,400,
855,309,297,085,069,387,097,706,857,149,649,386,142,429,563,169,546,614,502,
350,050,536,962,346,828,852,504,146,570,330,150,626,267,755,133,696,143,326,
986,908,398,655,013,278,261,209,689,505,560,803,703,828,297,639,900,779,710,
242,228,631,272,948,094,460,132,232,546,502,179,963,101,793,112,839,679,884,
330,129,586,956,550,463,209,303,827,902,513,887,541,436,483,363,751,984,370,
315,087,488,050,002,447,847,781,303,620,306,507,460,050,646,214,278,593,121,
254,665,005,479,369,828,485,833,908,484,004,953,476,562,053,844,636,100,920,
278,326,143,685,158,045,420,823,920,891,219,054,386,522,795,783,026,447,737,
863,216,258,044,805,558,026,016,323,212,367,665,085,157,230,957,587,275,406,
879,373,724,872,998,784,969,703,468,722,098,846,698,655,679,942,804,109,560,
518,719,188,457,630,078,338,631,672,757,132,713,996,852,613,355,805,586,065,
325,257,404,364,646,627,599,772,727,581,712,132,309,829,589,301,373,714,670,
950,779,256,423,667,652,130,810,074,136,141,520,370,825,505,178,887,492,815,
088,920,400,245,172,154,128,381,078,356,602,937,074,099,088,508,811,218,064,
030,715,625,841,476,998,654,312,227,586,780,935,459,632,612,808,741,861,058,
597,582,014,357,542,349,682,907,478,387,321,119,256,737,056,316,844,599,329,
215,784,307,329,524,685,551,601,773,954,046,487,286,068,427,008,253,752,913,
181,893,254,132,906,644,379,774,677,037,464,926,492,097,320,653,693,793,030,
758,128,398,053,560,889,978,866,405,273,153,862,984,522,072,818,704,194,046,
034,500,046,727,101,268,207,560,928,832,943,756,773,633,760,627,914,803,017,
749,927,008,136,263,685,447,299,956,449,509,683,780,375,460,736,684,744,200,
744,368,982,804,190,934,152,397,837,665,214,262,397,756,390,000,568,370,658,
039,589,153,093,642,772,123,051,317,902,075,733,823,837,719,586,060,243,328,
892,200,218,379,721,387,187,381,330,740,022,121,419,212,745,617,166,932,465,
261,588,755,438,290,244,133,332,258,972,918,768,766,887,314,397,158,470,971,
079,122,041,887,189,179,608,002,518,149,842,154,880,823,155,668,143,723,778,
759,801,659,512,479,416,902,052,536,076,808,969,248,582,132,196,817,106,128,
960,206,346,161,800,502,571,780,961,561,416,813,483,017,971,356,913,041,604,
975,811,321,459,992,594,100,932,188,913,185,515,146,363,032,197,740,541,900,
476,680,133,520,147,790,499,803,367,277,420,400,242,693,063,968,436,033,668,
346,755,395,154,532,092,854,578,002,242,061,196,430,331,711,167,908,053,189,
293,058,375,208,568,369,842,840,311,610,345,719,056,866,119,880,693,391,331,
479,567,797,899,654,178,579,654,758,453,007,327,851,308,645,221,161,888,911,
021,920,560,756,710,869,094,422,975,939,125,291,841,949,174,652,275,725,408,
583,352,917,290,801,513,003,651,769,407,624,237,617,640,371,579,189,343,929,
506,837,608,609,517,954,092,412,005,495,350,995,290,555,603,995,234,343,560,
633,355,941,813,738,420,820,797,910,408,615,035,067,598,734,197,140,247,836,
714,530,828,012,016,882,750,483,519,336,812,075,599,033,615,406,430,535,279,
327,488,099,869,125,703,012,337,898,243,208,183,604,151,076,950,628,250,526,
078,217,033,764,964,468,172,335,948,707,978,164,589,601,477,639,378,847,380,
820,532,974,830,847,289,722,979,254,694,276,150,419,829,357,207,660,105,537,
639,319,357,028,770,475,737,291,707,221,089,282,200,902,856,417,213,787,118,
957,495,340,084,242,452,899,708,505,825,190,864,766,480,836,357,607,955,193,
630,885,604,567,113,260,535,250,490,702,679,807,193,247,032,923,716,180,806,
293,000,168,633,166,476,271,559,343,601,084,498,954,345,789,427,898,996,888,
156,760,929,966,527,226,249,881,913,696,577,420,977,386,454,848,358,610,512,
659,787,178,939,944,170,775,363,528,724,962,961,057,439,591,432,784,448,096,
136,242,634,969,365,760,060,711,612,006,646,516,006,333,661,178,207,710,918,
804,969,316,765,610,475,018,680,148,743,721,772,493,106,464,754,130,484,735,
498,356,450,051,126,652,156,962,927,905,243,209,526,395,987,196,765,038,179,
537,244,140,004,584,778,865,200,033,813,976,931,871,453,229,777,137,102,947,
005,946,038,536,139,958,270,195,561,718,711,731,242,830,803,449,389,890,411,
376,082,881,437,583,061,185,773,757,731,148,466,875,373,341,876,010,049,452,
109,316,640,814,497,373,176,072,684,319,039,118,312,497,251,638,765,299,384,
176,050,585,226,614,075,237,656,284,302,907,757,838,448,681,744,076,882,149,
893,363,701,128,800,846,625,091,892,867,842,802,268,745,142,920,569,121,389,
997,074,701,748,601,626,526,035,098,873,583,176,801,277,144,412,198,651,998,
410,220,542,546,702,829,779,355,581,859,597,938,889,860,612,852,972,947,387,
553,108,210,886,490,377,854,380,709,270,549,327,026,953,710,616,198,272,521,
129,098,152,588,970,282,342,965,166,601,071,373,038,816,698,508,184,722,965,
530,821,214,330,355,611,149,950,875,867,161,035,347,460,271,480,094,640,770,
318,238,885,045,166,132,432,251,206,216,383,769,768,330,165,462,286,419,878,
781,110,306,019,276,689,566,997,297,348,453,763,654,643,938,202,524,184,138,
833,769,924,970,959,746,714,506,667,875,243,383,071,448,845,846,620,450,871,
805,033,866,829,037,152,745,992,501,627,219,256,111,033,469,011,721,200,673,
212,456,073,175,698,520,717,489,563,609,589,465,621,612,891,534,728,612,718,
688,713,013,724,572,918,526,138,903,118,409,721,302,326,330,413,827,751,356,
086,480,878,096,312,822,438,907,699,596,903,531,430,011,748,619,022,851,338,
105,941,610,479,283,453,283,392,673,088,004,282,995,685,222,470,361,221,498,
775,890,420,621,576,776,831,827,357,076,365,993,019,938,929,574,869,595,090,
141,430,635,284,194,499,248,361,151,895,169,452,465,701,342,927,666,836,316,
410,218,987,571,788,061,528,286,387,073,192,422,676,404,010,072,355,945,207,
829,254,642,633,997,948,717,008,703,432,656,427,211,607,438,903,874,537,306,
370,684,562,623,493,526,404,262,573,329,734,959,869,981,716,988,652,241,460,
432,683,472,221,952,797,740,804,520,308,647,263,799,340,268,270,396,729,839,
841,632,358,098,800,735,545,350,659,729,520,423,320,324,465,974,671,892,144,
232,013,819,818,387,892,819,021,811,940,942,364,341,092,082,539,744,448,760,
545,382,152,679,878,662,398,803,129,705,890,392,433,474,338,610,532,470,520,
843,132,943,734,478,157,783,187,625,228,524,618,531,984,658,978,456,570,229,
714,005,366,857,234,113,068,939,869,891,784,657,444,897,721,762,145,873,727,
020,901,382,726,043,296,872,061,510,666,315,554,998,682,527,779,674,559,055,
473,308,694,162,401,470,148,422,085,090,584,412,815,049,081,959,541,329,689,
846,020,547,810,624,114,138,603,695,583,197,619,063,989,653,085,945,795,177,
086,948,690,094,901,599,521,489,840,287,645,184,231,138,915,362,540,720,707,
519,748,628,196,574,876,105,086,196,889,902,199,774,576,658,384,929,069,085,
810,059,855,626,674,308,672,806,272,287,120,637,090,826,739,726,880,951,966,
336,043,640,856,787,098,064,493,567,550,502,931,236,520,875,859,344,829,828,
742,926,573,176,871,798,627,738,587,718,044,865,461,931,725,137,136,211,537,
051,613,332,597,173,284,966,909,811,985,033,797,920,557,078,993,109,561,318,
410,113,151,493,990,688,734,580,934,509,152,178,454,346,789,526,327,759,111,
433,428,864,057,078,423,897,002,923,866,879,380,289,026,147,007,840,560,779,
104,987,109,990,123,266,501,109,578,844,574,061,487,876,180,621,891,703,578,
469,417,613,834,885,195,443,745,509,053,390,238,046,884,956,638,074,909,342,
951,539,428,040,206,825,130,257,727,673,909,708,177,116,284,983,826,182,266,
076,581,750,058,609,446,256,709,760,826,982,385,110,220,798,450,243,543,085,
605,211,444,161,229,929,244,833,574,740,903,940,052,221,762,504,770,623,863,
601,669,274,208,658,786,681,567,105,671,093,321,939,444,612,204,021,418,000,
212,643,198,318,839,350,552,811,817,915,179,633,000,613,397,746,708,766,535,
226,460,678,370,183,361,941,254,797,093,715,418,103,216,045,085,134,964,557,
623,534,751,292,616,915,221,097,948,080,289,346,098,224,466,387,033,126,097,
565,895,300,431,434,822,709,989,377,330,329,286,765,006,303,657,359,447,681,
268,997,072,221,466,841,157,562,970,430,693,293,407,995,647,033,186,269,625,
156,201,972,528,791,155,526,307,131,716,342,922,625,600,643,110,289,513,827,
396,393,634,895,107,139,264,151,336,263,177,331,522,338,304,557,541,873,456,
910,235,956,635,892,009,484,567,779,680,330,264,704,940,749,929,700,000,712,
885,279,324,873,302,793,638,892,130,184,759,527,794,675,337,288,975,509,416,
194,253,354,690,830,163,492,874,685,578,737,810,370,152,384,077,115,851,834,
143,700,389,543,522,065,402,294,236,074,807,057,857,208,276,118,246,269,314,
462,873,955,772,415,024,175,040,925,025,452,956,998,546,623,814,873,436,718,
382,092,777,801,479,837,841,938,351,735,325,456,985,714,341,440,904,463,036,
896,079,948,830,037,628,998,876,805,045,870,185,466,439,955,203,622,883,076,
456,958,600,729,953,965,747,312,501,190,606,116,477,484,716,860,938,556,366,
953,155,654,101,965,753,833,507,562,024,108,352,987,042,913,803,351,240,815,
751,806,725,884,697,880,402,682,936,539,856,424,777,925,145,736,377,618,084,
462,352,123,309,353,248,571,717,129,263,498,513,425,082,236,798,339,430,406,
212,743,237,620,100,730,413,335,577,711,004,553,909,752,134,927,309,679,496,
777,077,398,611,778,736,645,331,356,130,524,493,667,475,870,153,578,096,720,
500,075,768,501,978,654,801,839,439,354,608,055,049,331,593,525,992,232,991,
767,750,184,126,617,027,964,690,200,284,630,218,297,635,930,065,395,877,320,
027,931,961,821,966,467,887,725,457,725,963,134,352,382,854,381,113,516,098,
361,027,693,866,383,304,467,400,164,983,073,663,452,020,992,089,894,056,332,
099,119,002,661,491,444,396,406,215,055,172,565,498,237,251,216,091,029,212,
201,180,667,941,321,078,700,599,547,497,290,557,058,624,225,147,087,999,481,
455,972,563,314,215,831,090,141,473,392,106,367,025,055,430,251,645,325,625,
469,776,666,722,508,328,678,395,091,953,241,818,946,277,377,781,811,228,341,
205,144,815,086,874,389,719,715,564,304,670,965,850,277,246,966,754,827,465,
694,281,383,920,533,967,290,648,432,238,268,795,661,353,190,296,845,313,276,
742,807,893,465,131,078,592,790,014,869,206,335,723,026,369,225,812,403,767,
503,778,046,617,163,928,429,573,440,643,924,950,685,489,651,685,238,444,139,
309,921,122,399,237,086,192,240,114,355,830,320,956,988,212,079,936,487,018,
239,158,609,215,773,046,812,184,646,958,433,810,639,785,393,327,705,229,092,
923,184,033,193,231,962,855,343,388,598,064,451,135,216,485,437,647,647,614,
168,530,497,327,824,755,862,232,283,931,930,149,807,396,940,020,417,744,954,
099,727,149,726,708,426,097,239,552,705,888,052,787,233,625,461,761,468,217,
050,305,305,465,653,413,545,690,013,548,934,697,675,499,943,010,783,396,847,
500,755,858,186,197,012,517,724,767,049,387,054,720,460,262,161,806,758,820,
160,118,825,577,821,462,585,863,574,912,677,976,115,452,121,522,790,033,009,
852,058,406,912,654,413,643,387,082,291,450,607,426,535,184,036,187,796,791,
881,919,231,643,485,171,562,738,272,178,416,141,762,446,970,712,031,221,644,
591,715,866,110,082,951,438,827,314,050,616,578,228,808,931,387,984,441,544,
594,650,019,875,226,375,890,494,052,181,784,221,392,641,369,938,320,807,152,
682,042,310,729,967,074,518,174,539,563,552,585,192,023,686,722,535,715,961,
015,704,984,435,008,510,079,772,268,316,929,854,785,642,191,111,842,769,617,
363,132,464,659,634,827,451,661,678,203,751,927,428,978,009,273,811,350,030,
998,855,755,662,757,479,674,037,004,491,913,892,952,245,127,141,608,181,192,
749,212,957,589,893,881,554,195,801,634,830,712,187,673,223,961,211,005,168,
946,617,160,862,105,685,823,952,575,513,328,276,300,062,582,539,091,069,724,
799,048,913,786,257,766,932,480,471,798,930,469,820,191,394,252,736,989,685,
971,900,880,277,017,374,497,194,587,874,962,956,626,720,494,721,997,936,659,
742,169,023,832,597,849,414,331,077,279,932,563,273,135,284,658,528,112,596,
715,561,581,899,594,616,705,209,646,163,230,421,788,949,121,325,623,658,125,
637,231,517,134,102,155,579,738,360,610,631,289,023,372,970,644,827,866,963,
490,978,970,562,194,900,548,051,941,099,175,376,592,751,290,081,390,798,569,
234,117,641,207,272,698,540,594,792,752,693,042,623,700,765,093,253,683,683,
000,394,330,289,971,631,969,845,374,469,301,648,622,678,883,093,193,939,260,
089,276,526,629,801,867,831,150,843,001,070,455,464,040,352,203,171,861,639,
021,360,748,964,750,527,243,367,687,203,022,249,264,685,204,728,804,065,697,
167,746,638,098,649,450,053,004,260,725,749,108,181,097,370,790,080,160,229,
288,127,417,579,342,785,728,299,027,788,635,710,959,039,302,235,344,330,523,
048,464,566,481,963,076,594,096,667,294,053,640,646,924,601,416,190,165,765,
223,213,737,278,226,640,026,240,700,916,967,665,087,923,276,377,646,289,095,
924,815,394,543,192,020,852,066,786,501,747,748,712,873,614,385,931,638,296,
876,443,371,945,264,259,780,650,719,713,788,191,376,346,854,120,037,802,697,
076,513,595,454,887,148,710,309,566,373,319,605,866,129,925,419,148,452,650,
647,052,644,158,846,745,101,517,437,966,927,407,016,779,735,263,043,687,012,
770,235,496,696,143,918,947,393,447,718,183,843,504,802,425,994,916,968,901,
721,334,971,412,687,532,231,477,100,852,004,414,274,765,902,573,304,760,730,
371,056,764,238,341,251,453,735,998,182,473,842,016,153,059,570,881,884,797,
945,591,130,794,286,984,878,913,395,292,995,430,933,442,819,496,069,433,130,
826,519,400,128,498,039,801,836,913,898,768,989,905,867,237,875,432,364,539,
052,733,802,523,904,303,287,574,894,117,454,543,807,434,997,403,912,054,776,
246,474,298,509,936,575,589,362,659,842,030,368,655,084,694,103,468,397,758,
570,146,564,531,806,893,582,643,710,780,734,990,703,136,228,062,346,015,543,
612,221,622,243,105,858,031,150,438,915,392,191,619,166,953,742,852,822,946,
870,204,038,606,211,136,862,532,157,731,159,376,343,337,172,005,709,617,868,
893,258,223,528,181,956,295,711,733,535,187,184,258,175,489,827,567,531,465,
775,849,177,457,259,384,455,588,782,621,818,477,860,873,663,262,811,606,116,
198,253,321,713,606,753,428,389,226,179,015,478,863,881,093,929,057,599,565,
944,452,295,067,183,942,686,367,991,789,445,585,473,516,775,709,990,456,115,
220,526,137,790,982,150,480,699,814,620,020,291,061,107,692,941,454,072,242,
307,428,110,498,735,682,272,362,637,934,988,485,680,518,186,444,216,819,897,
350,916,644,442,013,201,123,216,048,986,992,695,171,005,567,887,083,351,146,
649,279,837,427,535,083,532,958,049,202,075,765,529,275,952,350,251,469,820,
233,551,333,495,158,628,475,166,793,095,980,537,044,404,953,622,214,077,083,
681,105,399,111,001,081,705,639,677,209,113,845,993,505,715,086,131,080,467,
064,631,250,318,417,572,577,005,731,235,415,516,900,338,351,090,419,073,615,
150,747,322,720,053,584,692,317,389,550,282,874,771,132,806,962,635,358,636,
799,469,904,851,185,679,835,573,918,764,643,308,290,645,748,432,157,679,711,
727,693,406,124,467,132,901,138,449,955,114,396,670,368,681,104,450,388,954,
014,714,352,035,462,081,217,275,085,487,038,498,840,490,194,960,795,669,199,
877,152,936,857,225,960,010,270,108,399,134,711,311,267,385,184,597,769,798,
092,433,210,123,621,315,924,085,507,197,992,033,869,732,173,471,117,148,453,
540,953,610,874,552,125,146,632,016,546,226,136,202,291,443,389,164,895,753,
314,987,762,840,149,891,753,525,006,955,395,608,153,834,381,377,704,871,559,
700,228,880,570,076,140,796,128,084,881,642,153,624,773,337,763,267,916,224,
121,411,963,702,560,517,063,545,905,651,166,314,749,414,399,761,590,131,762,
591,970,994,042,044,166,869,945,658,910,570,451,004,216,236,169,435,290,094,
880,269,794,338,390,684,183,276,123,568,968,541,626,032,861,385,794,429,415,
566,522,411,503,919,394,512,738,975,669,394,919,282,450,856,817,735,235,819,
236,535,928,885,879,484,723,828,431,332,797,264,853,706,869,146,401,589,441,
580,970,685,391,525,203,172,266,848,048,933,947,666,140,502,378,387,486,363,
006,952,108,010,806,136,040,171,299,090,467,735,296,029,257,725,346,425,082,
415,995,243,029,415,698,745,310,120,795,234,159,263,108,922,550,298,014,377,
600,464,397,137,389,626,621,882,857,337,047,425,971,138,573,801,495,990,960,
302,358,153,421,063,244,038,624,878,999,939,880,201,800,910,922,850,867,350,
799,657,861,631,201,875,737,656,969,740,650,227,946,999,228,224,346,778,457,
224,473,956,705,661,357,337,733,973,112,855,104,016,123,943,497,774,787,517,
725,252,254,104,929,826,067,298,989,113,220,309,797,377,276,130,859,499,855,
605,077,612,385,646,954,976,811,917,610,020,095,645,362,822,507,429,041,474,
170,209,436,131,309,780,865,604,328,798,852,401,341,532,345,680,495,697,456,
662,386,260,938,473,633,426,840,302,874,037,118,406,301,967,251,098,427,889,
975,416,766,504,759,876,130,858,609,474,210,412,975,650,317,585,995,471,426,
048,579,646,813,946,656,312,017,525,127,463,670,391,780,261,031,753,039,904,
094,126,731,250,866,389,098,625,452,146,491,123,143,815,396,231,281,809,113,
478,944,921,926,287,782,191,822,952,722,215,251,333,279,698,310,374,808,066,
224,278,963,339,823,033,125,228,465,583,054,561,122,906,364,865,907,035,093,
068,963,790,230,153,583,418,107,948,818,706,935,187,588,921,243,495,857,132,
766,529,192,563,216,063,012,409,737,520,511,842,951,641,801,082,091,081,788,
689,367,222,495,417,020,594,444,936,540,791,558,587,749,390,221,730,253,755,
950,991,144,729,421,034,801,493,986,308,853,016,375,290,983,665,554,660,904,
928,544,542,309,725,823,836,627,575,420,097,750,476,873,955,700,924,379,090,
774,999,306,181,912,821,596,628,646,964,280,068,533,562,415,481,854,823,432,
381,487,392,683,860,277,593,025,739,878,154,995,245,306,977,020,147,429,512,
355,547,577,200,213,870,798,784,679,118,094,884,774,145,922,252,851,579,031,
513,328,515,538,579,520,107,910,928,003,564,917,491,431,365,748,514,068,310,
821,609,716,372,637,538,579,955,691,920,196,266,375,862,654,446,758,265,206,
730,931,518,188,055,607,412,806,567,800,834,280,173,019,079,476,557,447,809,
476,187,972,696,683,180,062,354,614,335,306,810,446,830,195,630,127,583,339,
647,490,504,955,490,872,337,387,195,872,063,238,452,593,840,645,176,912,148,
042,222,915,151,531,887,159,313,675,652,598,636,166,043,868,185,645,198,241,
575,671,822,399,117,080,504,417,584,706,867,912,408,492,491,534,206,445,382,
639,382,366,739,905,957,030,241,733,418,267,870,233,795,835,763,769,727,560,
055,132,786,413,422,887,080,968,355,358,039,697,649,107,444,381,333,828,024,
918,411,197,322,280,363,951,738,296,888,293,104,812,987,582,563,142,777,210,
186,009,442,519,126,326,825,468,014,163,432,605,425,832,588,598,919,586,742,
551,379,801,919,800,432,626,257,667,499,525,009,325,893,749,537,702,025,665,
984,811,798,271,257,405,611,732,186,816,063,139,145,206,445,449,396,020,302,
093,590,079,015,420,980,039,219,913,910,573,886,651,392,050,907,568,489,913,
166,197,548,442,810,973,840,603,509,668,920,540,149,153,823,582,730,021,219,
901,854,542,004,810,239,183,122,197,323,863,351,535,552,540,666,216,330,849,
169,680,888,263,354,815,412,431,950,267,073,088,066,102,281,702,118,459,199,
551,798,271,443,594,606,330,523,936,421,425,646,042,677,260,773,941,590,266,
222,586,687,467,986,523,484,050,233,006,899,007,236,743,372,943,002,969,197,
217,066,294,065,168,978,117,436,150,273,110,844,674,987,196,899,713,710,263,
315,431,593,723,609,083,260,022,814,538,584,781,827,672,657,104,744,677,346,
036,192,709,973,525,070,645,292,167,737,739,055,328,833,498,282,462,912,603,
251,577,854,896,763,843,239,372,430,340,460,439,125,439,293,910,824,207,313,
007,609,789,342,189,072,281,925,221,619,154,573,263,228,443,032,979,298,297,
758,788,519,287,936,545,041,923,554,507,983,066,391,995,318,002,331,440,563,
603,458,525,799,320,604,744,212,382,829,666,781,782,314,818,518,727,312,201,
215,952,836,134,899,295,463,673,438,509,246,483,906,335,062,599,984,586,418,
546,860,392,868,056,139,343,079,850,726,096,467,673,892,730,349,777,112,105,
344,460,836,634,421,096,634,968,391,400,754,778,354,960,310,218,778,493,507,
214,775,802,909,861,263,581,743,059,299,790,142,409,071,322,105,868,308,644,
702,448,407,121,398,206,031,721,812,241,783,394,529,392,224,883,687,629,119,
501,701,354,913,141,845,108,067,370,891,208,494,700,085,328,053,771,462,050,
994,019,400,474,687,966,195,149,959,577,119,654,586,090,430,571,578,660,019,
591,629,422,744,874,591,479,841,313,504,664,255,441,424,701,788,452,839,199,
704,569,473,080,969,580,459,040,529,642,668,744,897,709,465,685,393,369,643,
498,938,029,788,315,200,523,999,306,859,115,015,364,950,089,472,567,810,865,
928,422,320,624,547,836,037,808,388,678,278,264,070,000,736,118,785,145,399,
820,657,375,978,012,626,639,276,842,079,387,726,654,768,665,999,409,652,997,
111,676,024,729,615,201,491,961,376,685,630,636,815,251,827,117,750,154,924,
642,267,636,215,489,712,134,519,936,538,015,418,495,367,627,616,274,528,351,
095,744,908,960,870,093,970,346,625,018,302,375,249,762,893,460,213,197,375,
100,723,308,162,683,110,947,841,246,599,364,801,038,435,156,032,159,371,907,
176,624,766,155,057,316,526,793,505,431,016,169,204,584,306,005,270,207,241,
035,930,526,494,170,130,623,663,638,339,209,464,998,016,252,548,864,464,525,
742,229,633,506,909,975,175,501,043,440,131,614,263,199,411,060,140,059,001,
536,141,210,324,819,666,278,879,163,462,991,255,176,530,160,911,710,151,454,
787,419,284,023,439,981,227,428,912,714,932,394,318,154,699,697,193,742,740,
645,188,008,943,942,112,718,345,955,005,065,660,101,232,938,414,185,691,579,
961,053,946,937,108,274,950,042,539,922,191,672,221,955,210,718,064,500,021,
414,437,459,534,929,626,828,333,609,732,182,627,120,443,392,201,244,807,741,
639,871,529,505,464,358,721,834,520,842,576,556,237,551,834,963,454,304,766,
172,076,863,202,887,098,672,385,341,963,734,309,952,264,867,665,368,121,029,
250,255,148,788,616,217,066,505,068,902,711,586,764,175,604,195,555,790,558,
041,456,123,636,985,286,254,594,953,221,174,014,211,536,263,608,316,940,524,
835,636,307,189,834,490,297,568,150,735,403,202,554,757,445,716,089,409,426,
566,959,127,628,770,053,790,305,340,682,418,131,140,119,149,477,295,573,869,
949,385,379,851,950,135,877,454,548,125,327,207,193,673,877,089,752,178,883,
340,556,774,637,832,412,949,321,565,374,405,944,364,342,233,436,140,718,111,
978,453,036,794,156,916,362,420,484,582,178,785,140,005,053,942,502,989,813,
245,191,334,568,282,246,557,323,794,821,059,090,631,842,070,394,295,693,620,
618,808,359,085,317,734,282,470,663,393,502,458,357,805,421,437,890,256,811,
588,669,394,433,142,998,467,915,211,225,435,828,163,619,392,819,678,836,225,
161,272,596,286,625,356,887,770,473,443,903,617,195,287,853,580,068,585,013,
353,139,795,377,188,574,067,241,628,413,842,128,469,393,749,821,335,616,883,
634,969,166,914,945,744,987,125,059,644,150,519,113,059,298,639,732,381,555,
622,148,121,793,977,596,293,434,774,404,440,423,238,232,025,410,806,046,928,
552,901,515,951,989,940,341,022,607,610,867,719,025,339,853,065,306,373,793,
959,182,430,503,090,104,132,006,817,812,964,370,315,902,227,343,235,043,726,
491,154,136,141,181,701,633,419,391,345,448,293,707,771,010,356,694,179,267,
625,833,491,685,196,415,601,127,268,098,124,123,947,041,612,248,221,573,910,
091,927,376,442,551,008,543,813,538,551,314,354,107,165,649,174,277,386,310,
889,698,642,712,952,904,888,225,320,439,667,232,272,742,234,357,606,825,814,
643,705,980,311,525,165,944,313,783,823,310,592,769,942,176,639,535,442,472,
182,318,297,774,781,130,176,526,270,065,714,061,057,520,864,766,983,747,975,
557,439,295,336,042,720,623,798,450,583,957,016,239,417,147,018,807,007,588,
180,460,620,100,842,090,438,707,466,630,381,047,129,421,440,944,398,987,726,
985,636,780,711,697,192,946,720,463,264,727,023,629,657,857,967,085,452,867,
554,493,978,536,465,887,333,211,268,052,129,997,811,956,946,305,350,685,056,
105,995,066,250,947,891,358,603,180,716,563,816,966,687,533,162,738,749,239,
142,567,107,955,521,791,787,379,135,910,468,123,159,086,024,249,461,928,746,
724,651,342,949,828,526,879,153,980,151,566,248,579,760,337,018,741,542,227,
190,717,183,022,006,655,905,371,124,023,920,572,595,123,229,586,109,973,483,
283,515,468,416,808,305,756,817,688,838,732,220,573,175,167,958,870,977,503,
144,597,569,187,626,416,777,638,711,281,016,059,764,570,557,445,075,182,281,
277,713,411,216,262,923,807,167,423,068,160,329,927,802,525,426,079,192,848,
443,622,990,404,502,859,917,822,829,456,769,234,448,684,068,224,136,014,381,
473,661,048,391,787,160,442,558,641,911,018,225,927,671,467,486,738,100,683,
385,301,350,955,712,127,738,999,680,944,892,684,974,024,295,896,447,822,748,
846,486,657,118,442,433,128,270,334,843,376,251,512,771,972,890,538,205,109,
229,408,928,771,654,094,241,579,630,582,040,670,890,096,494,166,909,845,131,
043,025,368,973,345,281,375,104,556,367,204,912,292,812,379,748,975,546,239,
036,497,861,524,933,206,434,217,147,363,848,416,736,783,340,017,251,393,885,
926,752,471,779,284,095,541,198,696,957,283,360,139,237,250,255,166,280,632,
168,868,886,407,507,452,840,248,497,586,696,439,885,063,516,329,157,745,220,
811,549,567,401,692,233,071,630,863,790,834,006,386,151,962,728,729,391,064,
047,293,741,508,142,012,754,519,968,913,740,020,494,319,555,140,403,942,680,
555,421,948,454,034,954,656,399,775,605,549,293,152,315,033,214,498,089,770,
938,527,829,442,002,791,953,220,106,570,933,596,161,935,483,652,772,634,935,
445,492,996,704,426,824,777,002,869,048,029,100,256,915,887,295,428,965,374,
852,146,628,625,058,100,059,506,923,432,609,390,929,023,239,180,910,286,036,
801,383,007,924,809,748,065,887,357,733,566,375,031,629,278,115,141,993,157,
505,057,173,268,147,211,682,976,161,923,977,332,696,731,942,523,704,866,090,
810,686,246,241,330,735,306,277,944,734,709,153,823,108,435,843,828,964,285,
238,345,540,078,200,445,994,018,264,866,433,150,829,613,955,360,797,383,758,
389,953,902,077,818,874,308,330,304,532,482,749,819,703,412,265,478,540,189,
193,126,142,420,780,020,738,468,619,999,897,161,088,993,494,608,303,544,569,
143,853,420,817,829,099,330,988,079,613,609,811,337,602,551,110,761,794,236,
965,008,354,872,303,554,686,145,640,597,292,841,783,870,458,487,624,176,143,
403,942,850,817,535,805,302,627,385,599,499,036,515,051,528,855,680,754,566,
042,610,359,595,317,461,514,395,639,946,666,699,215,064,240,594,699,056,395,
924,019,125,254,344,654,590,684,071,867,573,696,857,944,081,228,083,451,638,
348,659,664,683,760,530,324,173,089,667,195,662,682,565,022,714,968,442,581,
585,480,925,192,836,823,740,072,534,503,684,423,809,216,827,978,453,944,090,
887,311,958,093,099,249,129,953,480,993,504,312,921,665,457,510,985,350,448,
866,726,530,663,281,685,676,053,284,237,150,085,727,491,260,484,781,414,314,
710,335,427,145,614,839,162,787,672,993,025,750,427,498,930,181,832,832,510,
046,646,170,515,806,898,533,441,363,199,418,505,414,110,779,220,206,127,250,
343,533,971,684,559,829,792,010,042,315,790,785,524,469,778,378,533,454,057,
544,534,152,875,788,356,577,333,353,192,893,456,754,009,717,234,268,291,030,
874,148,702,150,879,704,195,337,045,530,292,354,241,075,482,049,960,679,617,
698,036,731,046,638,129,079,230,812,284,367,721,724,399,737,353,962,054,144,
262,871,442,631,119,711,919,762,233,147,747,979,403,056,465,343,306,738,345,
682,760,721,224,316,272,400,832,750,795,371,654,153,136,060,563,696,232,799,
603,379,048,482,477,669,042,303,175,398,328,272,029,056,570,061,101,038,125,
742,401,059,976,263,568,863,086,055,860,962,208,684,434,539,973,986,510,950,
844,834,335,405,705,088,138,469,510,971,829,706,736,747,241,361,420,041,911,
829,440,202,611,282,480,674,322,390,996,618,167,059,550,196,934,468,531,767,
495,288,976,219,076,619,699,775,754,133,773,355,364,897,135,559,468,175,090,
376,737,545,134,728,094,992,998,740,759,098,430,467,542,423,565,322,870,157,
144,192,528,669,107,430,340,244,359,107,271,373,153,911,650,827,804,565,286,
662,759,079,444,986,978,100,041,641,551,236,430,877,352,256,063,257,371,897,
118,819,051,553,876,339,663,760,150,714,749,078,905,351,378,235,608,904,483,
676,597,940,781,788,469,920,163,444,146,317,361,166,706,697,491,039,782,689,
118,651,277,227,710,855,720,379,147,791,328,359,325,856,691,228,548,968,543,
709,206,919,704,060,160,828,760,469,975,373,640,953,381,487,733,045,676,086,
537,999,950,587,465,844,382,351,944,879,279,494,246,238,666,559,889,547,597,
234,499,476,249,923,485,954,202,895,482,323,666,615,571,984,162,347,059,805,
676,721,821,501,832,668,196,896,947,891,593,262,619,474,485,711,897,132,801,
926,964,381,969,830,987,589,314,755,840,551,847,293,258,306,731,228,651,286,
829,060,464,185,784,340,207,100,943,274,204,852,484,245,847,270,242,349,364,
879,858,215,737,500,113,392,017,260,915,498,070,389,549,369,178,190,532,698,
239,413,847,399,024,073,355,922,326,155,431,867,561,193,868,131,280,016,751,
297,853,885,188,805,315,515,175,983,426,083,536,343,851,363,063,565,546,287,
705,318,442,712,081,392,047,208,019,808,279,831,003,495,739,197,193,636,869,
572,144,455,901,246,324,630,848,630,598,047,338,154,761,796,923,246,009,954,
659,458,190,122,539,712,695,296,431,949,319,735,225,040,326,231,386,751,502,
389,369,099,175,415,894,666,906,564,769,506,215,026,098,384,973,822,446,264,
111,240,394,752,000,913,297,871,605,372,752,310,590,603,075,163,056,014,364,
902,362,279,076,975,358,903,060,277,367,418,940,866,694,626,301,951,525,124,
589,437,245,920,864,480,491,004,678,035,757,842,425,616,274,766,273,626,619,
048,197,301,702,631,367,569,690,045,765,633,433,701,195,200,780,199,558,672,
318,405,460,697,147,919,989,131,521,607,766,816,958,734,034,844,984,550,189,
788,824,108,963,266,514,378,350,973,917,599,402,491,703,095,117,675,017,984,
193,189,521,375,142,417,772,812,790,849,143,060,292,529,630,104,812,421,383,
943,473,560,066,197,156,732,360,246,713,033,804,960,718,391,773,535,759,981,
952,403,548,959,811,494,795,337,211,706,070,866,986,707,746,694,739,157,695,
664,665,170,298,297,325,096,475,501,076,153,674,096,103,511,297,956,952,401,
550,178,659,361,201,338,589,198,611,462,471,128,903,515,886,742,029,252,211,
430,965,502,540,493,879,104,207,924,269,595,070,079,357,882,027,722,211,463,
972,892,298,965,866,084,935,933,788,134,802,121,971,031,322,666,983,932,026,
126,880,006,210,979,242,416,179,933,261,970,430,782,131,080,841,508,214,679,
604,201,246,022,068,407,491,242,446,878,148,496,609,469,670,514,988,673,611,
182,072,470,942,893,375,798,304,464,094,643,117,442,493,849,626,235,645,756,
089,210,179,002,510,440,569,388,275,470,587,595,099,427,329,102,892,481,105,
637,475,367,053,794,564,979,042,840,672,999,415,370,341,970,092,312,373,545,
644,525,340,573,437,413,103,921,062,632,638,031,948,080,419,814,112,290,553,
539,552,158,893,929,948,467,551,823,475,618,321,924,696,101,594,307,153,077,
414,683,732,979,921,131,478,451,003,207,291,570,673,043,074,368,624,933,861,
055,356,936,503,125,310,177,426,274,480,850,690,675,974,044,297,606,724,013,
306,637,461,069,484,573,237,255,231,258,412,418,739,160,312,487,861,920,688,
652,787,583,797,987,070,409,800,352,541,750,385,623,170,782,341,318,627,778,
030,942,006,332,897,699,961,049,562,449,219,157,242,574,447,369,099,495,502,
752,076,390,838,503,049,943,911,619,747,463,198,127,050,921,545,863,135,340,
864,847,185,351,719,130,746,543,539,755,033,916,292,176,812,904,517,928,150,
176,595,479,563,798,266,715,943,718,937,367,848,062,072,174,556,555,224,058,
174,660,335,256,242,797,680,960,284,251,165,364,774,712,987,857,714,024,037,
445,311,914,866,086,459,254,368,863,686,245,489,721,410,186,813,465,792,736,
410,700,968,669,731,670,027,239,715,458,248,559,781,942,315,070,710,315,137,
323,558,259,149,823,853,071,936,166,265,175,943,652,890,547,985,876,628,457,
621,410,446,445,229,288,277,075,839,136,014,079,839,597,450,123,816,419,305,
533,243,176,209,409,901,987,380,059,259,549,045,278,776,235,951,889,283,109,
404,108,414,822,733,746,420,267,562,849,871,324,104,497,731,951,451,254,319,
367,554,111,200,670,571,506,092,655,992,379,524,655,235,522,116,826,855,446,
334,619,519,649,532,514,139,250,778,613,354,604,348,615,551,870,462,964,588,
394,724,348,652,190,076,006,348,945,255,400,790,703,516,841,345,492,198,814,
222,243,973,654,669,597,631,349,456,508,432,801,952,453,885,448,121,189,112,
056,032,160,837,201,257,501,099,262,459,052,819,415,102,238,666,536,625,882,
601,666,074,440,927,057,675,546,850,174,478,230,574,590,632,234,088,291,386,
126,894,536,960,348,572,594,447,949,674,529,793,556,516,586,222,917,153,152,
097,945,159,506,197,515,433,121,300,342,913,932,585,772,598,997,339,713,540,
293,613,536,812,888,083,285,014,357,058,726,076,936,517,664,312,818,479,732,
310,203,774,648,330,146,344,458,990,263,849,945,940,272,340,106,220,935,720,
912,101,376,917,443,657,224,111,125,284,913,001,254,880,050,147,441,654,184,
874,495,365,990,953,593,102,414,301,521,129,565,846,657,790,962,187,232,377,
547,218,045,216,894,330,117,396,751,678,008,410,207,887,805,850,730,055,995,
094,902,229,764,386,010,543,541,638,523,852,113,406,812,057,992,316,190,345,
798,227,198,442,810,982,753,751,147,542,858,865,881,371,247,913,633,120,549,
707,102,286,604,818,026,925,591,968,473,566,032,950,193,625,615,597,586,479,
264,187,375,150,270,143,368,453,791,876,587,805,137,230,300,745,246,426,767,
206,337,809,120,023,610,926,089,348,182,901,666,250,241,843,217,780,089,308,
375,013,005,339,290,649,331,528,915,958,895,601,437,219,713,482,589,891,080,
829,849,147,570,381,189,679,355,640,647,625,353,808,727,650,235,215,181,324,
537,322,837,823,904,997,572,887,814,322,524,494,086,186,416,896,738,880,205,
819,022,522,773,331,621,827,018,527,511,908,139,827,096,797,886,115,615,600,
407,646,757,384,461,189,064,175,912,174,086,443,911,994,211,190,329,243,744,
789,798,155,457,770,364,570,353,921,541,351,763,804,625,000,433,852,929,649,
558,379,165,944,609,921,186,779,530,753,385,363,311,298,815,355,653,941,564,
345,286,125,178,551,000,492,525,838,743,286,997,342,181,382,446,508,676,651,
712,442,323,899,672,060,739,259,213,485,601,339,367,732,645,704,760,845,859,
275,375,279,364,395,228,424,392,363,815,645,375,185,629,065,530,765,594,906,
762,252,141,146,182,215,589,041,012,482,094,968,851,402,829,727,150,013,341,
645,794,573,064,880,829,945,751,131,209,986,131,393,083,807,270,078,112,591,
583,806,322,640,423,630,525,464,373,271,882,470,029,110,552,868,482,169,379,
235,168,245,480,500,471,411,857,589,236,918,096,767,480,328,068,690,967,835,
786,144,134,589,256,802,899,126,433,853,601,611,072,774,052,557,660,071,357,
015,595,396,456,322,892,269,829,865,881,086,431,693,141,820,011,637,029,443,
774,354,959,986,125,233,140,524,196,514,271,781,379,843,646,401,477,971,017,
794,124,128,638,647,731,508,120,836,402,801,353,988,656,521,666,085,838,402,
435,165,171,266,635,999,530,353,418,246,493,661,239,605,351,298,082,104,673,
145,377,827,957,169,242,021,654,500,568,535,277,846,938,367,951,393,321,908,
545,338,361,466,550,853,155,909,052,250,448,201,813,465,025,604,553,777,749,
361,209,212,817,419,233,141,543,639,086,056,538,788,938,775,842,422,346,190,
189,025,349,294,346,774,272,773,453,414,948,726,112,197,900,990,673,204,884,
915,058,018,480,436,656,041,395,559,876,208,686,175,182,709,526,912,201,559,
046,526,184,985,837,639,513,059,015,628,495,274,865,486,433,720,852,406,053,
367,196,469,878,779,438,971,808,473,257,197,251,362,639,467,968,339,591,290,
329,124,476,283,529,053,840,375,887,987,474,688,007,132,694,425,791,776,080,
539,002,827,520,350,682,565,229,958,011,008,148,056,743,106,656,136,802,456,
257,378,700,911,447,066,425,116,849,583,270,058,102,998,766,062,525,908,339,
737,730,257,362,778,806,210,115,039,563,165,323,470,775,017,330,489,507,089,
897,064,995,369,239,067,207,301,355,242,200,843,079,514,165,218,969,593,597,
859,116,924,637,626,622,266,980,904,621,754,956,357,709,133,549,689,476,613,
662,266,657,805,041,055,653,407,827,538,374,926,883,880,731,726,346,190,371,
356,378,300,371,501,956,469,374,251,677,230,132,466,826,255,817,962,006,187,
111,334,486,516,469,917,103,801,616,378,970,560,528,650,709,423,803,222,277,
212,852,413,892,541,307,045,103,243,372,038,039,912,018,935,158,457,731,498,
720,287,422,777,650,627,315,851,912,124,067,517,665,578,256,414,554,676,564,
651,054,631,799,390,218,953,567,852,363,799,943,722,360,351,209,468,901,819,
944,389,240,953,698,703,918,984,828,449,948,837,209,124,355,334,465,282,552,
684,003,541,167,994,614,304,774,844,610,410,976,427,332,696,134,771,860,492,
551,433,890,116,644,099,947,683,779,802,777,890,737,109,742,945,640,235,892,
581,384,021,875,058,583,062,322,265,096,149,111,703,384,067,914,268,481,320,
908,698,144,420,706,944,166,659,507,116,950,025,694,589,522,198,760,197,826,
958,384,788,249,784,287,016,073,511,626,197,361,578,682,315,899,553,693,874,
547,612,365,617,057,889,400,834,967,480,570,565,579,337,931,716,602,523,987,
047,347,947,090,679,814,507,328,677,960,487,041,643,026,561,368,264,693,347,
943,022,588,297,101,737,910,398,438,379,968,351,772,800,030,646,694,524,154,
033,733,974,398,168,975,911,928,074,762,402,961,715,222,571,936,078,051,938,
159,580,284,055,101,715,685,886,273,015,614,858,700,360,766,665,917,553,186,
859,698,422,450,356,917,772,616,256,202,059,131,402,278,211,572,707,311,153,
081,458,629,958,185,442,327,540,710,283,594,254,479,730,016,034,389,781,679,
928,707,163,404,848,800,591,574,714,696,636,512,979,183,773,585,255,607,043,
910,391,966,415,704,730,565,769,256,484,534,162,996,244,456,275,488,519,022,
183,299,366,413,251,634,480,576,276,330,706,740,432,158,654,329,096,435,331,
627,833,924,657,445,681,329,383,720,917,723,909,455,144,862,880,291,551,730,
485,558,662,330,399,745,911,289,902,871,025,220,833,638,407,378,723,811,091,
115,852,263,536,334,787,467,822,436,352,106,371,361,846,940,083,263,787,556,
231,816,167,663,330,817,963,352,846,100,060,270,822,758,310,367,985,413,642,
648,345,912,714,631,485,481,024,997,365,735,324,187,092,627,008,844,735,468,
516,828,607,706,510,232,069,003,416,906,944,794,707,712,656,930,025,022,254,
868,512,016,455,481,507,606,700,910,011,121,394,671,874,918,205,480,561,587,
282,311,722,413,075,778,911,984,644,066,206,574,439,964,176,473,256,915,083,
454,962,007,714,113,759,170,356,730,433,090,673,785,327,283,672,451,189,494,
322,796,348,491,749,330,019,621,649,865,804,846,325,680,148,970,567,442,584,
944,629,097,251,029,297,334,795,193,369,626,450,174,116,749,640,267,149,582,
189,937,401,074,544,119,083,177,368,795,803,396,006,337,778,350,297,062,420,
271,540,319,598,701,520,654,867,197,304,102,905,764,403,279,436,804,379,877,
990,280,123,234,931,392,857,078,430,744,392,533,189,652,426,356,192,288,096,
953,217,526,498,873,095,598,656,791,427,765,797,884,314,204,377,792,050,912,
026,362,986,191,790,287,883,318,403,017,461,014,297,981,451,482,218,803,677,
185,683,379,718,897,612,414,479,171,134,675,083,666,892,121,689,384,015,276,
452,751,215,621,860,127,511,495,287,357,967,285,979,507,793,740,739,884,685,
917,340,362,970,277,651,714,691,181,096,714,860,453,486,772,702,859,849,965,
897,784,436,035,834,972,438,321,773,628,356,903,207,161,833,825,134,381,344,
094,182,327,370,795,219,890,141,549,999,056,784,989,073,811,534,919,817,398,
214,886,936,759,602,257,345,034,846,516,340,066,723,087,552,665,315,859,032,
792,977,459,736,407,220,308,248,546,692,102,736,403,819,394,799,126,656,139,
864,569,112,488,361,425,937,318,693,400,247,633,792,146,755,806,574,214,203,
382,847,500,946,410,728,845,875,431,921,025,691,252,251,549,531,955,523,171,
735,463,900,825,829,404,935,961,198,784,768,306,948,240,029,647,746,551,310,
758,264,543,824,140,691,580,457,703,590,379,338,587,312,809,296,129,707,500,
709,634,257,718,266,778,165,442,913,838,401,775,677,038,815,423,608,373,433,
895,703,337,374,097,148,489,272,790,786,376,592,889,173,435,237,231,105,345,
579,787,092,389,123,385,758,558,299,497,644,879,646,801,823,840,177,593,146,
953,877,720,382,225,985,721,975,371,776,824,188,037,480,162,954,025,618,005,
151,038,227,698,705,799,994,054,185,367,718,553,814,179,000,469,131,203,016,
178,983,776,405,972,424,012,934,006,190,576,473,765,737,162,490,533,910,743,
086,091,437,316,112,809,158,523,105,662,515,291,226,713,169,692,968,025,809,
358,147,203,956,713,743,359,419,743,199,737,768,618,991,733,057,226,375,708,
394,551,271,877,850,336,335,927,520,204,043,668,320,875,481,145,220,577,246,
010,303,459,365,308,247,528,186,892,038,978,858,481,064,142,882,083,497,530,
670,789,555,166,962,247,926,454,789,318,700,897,465,758,514,065,967,686,671,
343,142,613,358,071,992,266,456,592,958,370,220,403,000,702,401,253,250,437,
896,003,539,337,421,546,189,476,995,935,808,155,400,453,421,321,830,028,435,
776,668,161,021,135,489,993,377,875,272,075,037,569,260,433,619,817,701,880,
301,098,993,094,596,190,763,274,874,101,258,427,868,918,514,076,642,267,159,
912,578,626,546,346,313,586,273,163,609,463,108,042,352,915,229,247,798,674,
077,379,479,771,645,610,848,870,122,037,640,985,457,675,014,423,924,036,260,
058,194,873,159,328,099,419,328,553,966,802,750,225,443,162,532,738,963,023,
004,361,113,977,919,126,278,691,122,372,811,171,969,353,088,000,420,975,973,
739,486,955,591,891,628,259,448,602,660,916,560,118,766,176,192,102,155,312,
212,940,186,631,436,297,228,867,380,522,794,767,439,800,951,839,258,093,277,
615,156,232,163,325,543,723,872,546,332,424,247,832,581,858,230,982,374,475,
368,656,727,745,891,043,214,680,890,108,587,250,286,246,462,689,265,999,531,
650,486,745,890,408,697,107,927,198,510,439,652,497,449,636,902,970,814,103,
292,568,732,454,361,622,356,434,245,926,322,544,147,061,462,225,085,004,006,
387,092,168,531,366,066,483,558,996,317,487,283,585,842,389,052,799,447,013,
015,023,974,200,522,494,504,470,015,825,497,310,594,041,457,180,262,481,164,
880,134,032,621,978,944,353,658,727,754,293,892,252,627,030,366,015,270,161,
943,470,827,545,092,186,694,946,044,042,064,153,037,855,625,613,568,124,547,
980,390,292,071,806,586,114,935,635,489,216,799,549,394,982,597,565,453,796,
400,156,957,035,194,934,431,329,164,014,660,977,960,004,540,923,244,598,674,
574,546,488,762,601,375,645,292,474,290,888,420,369,429,600,254,035,399,737,
509,641,180,680,602,682,882,428,811,668,848,084,977,888,445,358,674,923,082,
212,384,323,375,219,357,839,147,244,117,251,426,158,108,497,423,853,499,543,
871,865,056,468,671,198,153,252,175,329,250,222,619,746,577,963,579,344,883,
267,634,036,334,202,561,545,081,286,880,301,340,194,508,463,960,272,184,259,
005,747,089,779,025,243,015,836,959,086,839,977,080,566,632,967,992,516,226,
215,862,287,477,430,466,895,260,647,228,727,996,424,525,066,850,382,460,845,
323,549,938,358,621,115,841,780,198,608,726,821,566,485,394,010,668,973,564,
316,700,816,668,519,512,895,087,746,781,358,472,330,094,482,048,630,553,739,
829,847,978,884,115,902,930,128,533,860,974,335,027,591,778,513,404,950,024,
465,889,576,579,182,110,082,484,404,092,012,392,661,819,225,397,471,111,805,
616,611,873,132,601,519,140,381,271,543,433,670,879,341,200,048,833,689,827,
953,644,098,617,456,725,333,015,799,175,993,472,830,689,979,528,575,888,016,
432,830,727,810,079,629,996,627,000,697,726,409,199,880,340,293,133,656,046,
856,034,480,158,976,688,002,689,274,721,487,289,078,367,759,460,590,129,943,
702,328,596,756,618,061,619,969,107,212,252,003,139,904,751,424,439,169,988,
327,458,813,327,069,817,509,283,889,454,245,459,511,421,136,326,951,033,940,
721,083,303,779,088,544,873,617,264,492,920,000,790,403,157,642,532,007,404,
605,063,437,086,621,244,191,418,565,920,430,728,464,745,035,925,835,046,818,
888,734,162,451,681,793,234,308,163,289,809,349,839,392,278,003,155,606,444,
694,335,159,007,428,785,129,962,137,175,204,631,745,047,494,984,631,404,457,
563,276,479,690,130,571,941,383,819,660,163,648,879,723,800,223,401,041,576,
877,001,249,851,964,826,371,547,305,768,154,446,137,600,985,539,655,672,261,
499,743,155,752,671,292,256,124,845,956,481,301,389,773,525,691,550,691,307,
508,494,152,466,386,523,683,662,525,187,723,814,473,062,876,836,177,640,605,
043,131,838,326,061,303,919,587,575,395,122,261,809,807,025,803,433,456,204,
052,303,404,420,973,171,450,231,760,131,638,829,053,462,176,735,217,712,647,
628,312,692,347,001,110,188,659,981,759,937,993,150,982,452,570,621,039,853,
379,671,845,149,991,464,912,033,559,449,133,409,279,150,045,204,435,261,845,
208,651,631,743,593,130,040,271,801,707,054,635,582,736,872,952,513,770,393,
720,474,745,215,961,087,459,603,274,329,576,317,045,314,189,398,770,267,259,
669,715,811,542,786,579,009,516,183,488,007,679,458,455,495,254,722,738,461,
225,441,999,347,738,806,243,230,440,691,284,587,954,751,600,317,131,127,237,
878,009,406,209,223,101,187,820,860,172,221,045,798,169,117,584,532,565,492,
376,080,623,505,076,215,553,528,660,388,217,933,300,669,036,281,777,169,736,
981,140,726,410,266,739,726,038,751,031,539,243,286,664,639,073,015,363,855,
252,384,999,979,953,122,039,304,748,030,280,040,279,838,792,823,777,012,691,
073,770,082,460,762,629,936,031,954,079,072,638,292,985,245,128,831,080,596,
999,284,977,418,753,763,786,310,788,342,475,494,192,452,786,107,695,855,510,
455,704,385,512,717,779,291,331,816,348,138,199,226,570,479,512,808,513,830,
427,229,080,187,603,772,793,015,205,410,596,619,200,431,945,196,130,481,643,
891,864,384,597,321,877,919,916,599,979,155,782,328,801,896,060,840,749,791,
625,949,139,336,157,031,151,634,176,026,957,605,353,631,807,776,845,150,328,
556,205,169,361,549,205,145,509,398,431,732,515,380,622,666,135,624,022,297,
386,564,255,753,011,451,274,985,765,361,106,377,938,236,277,568,299,043,896,
954,166,871,442,170,648,315,329,202,183,827,692,821,577,292,293,671,391,065,
948,386,701,647,270,334,797,318,656,547,354,436,294,630,306,582,555,446,572,
714,930,987,878,299,579,196,315,550,580,341,296,959,418,080,947,339,670,138,
987,444,766,670,223,285,664,831,362,004,415,600,383,931,114,378,505,980,650,
021,819,876,875,982,458,823,928,093,492,203,858,189,714,510,821,807,191,195,
217,061,688,197,845,355,819,643,711,541,141,295,873,844,348,066,777,757,842,
282,235,905,476,196,964,683,899,862,399,369,416,943,058,486,256,440,899,077,
502,137,725,162,561,961,268,955,687,227,272,479,603,303,392,504,295,805,087,
535,980,643,816,774,548,030,495,191,890,180,238,185,000,394,155,195,687,589,
705,804,354,476,818,915,609,389,094,273,213,897,196,364,709,755,775,707,370,
998,489,802,204,579,673,295,354,942,890,810,894,441,002,863,608,608,573,261,
198,668,602,072,387,406,216,613,856,774,102,524,758,710,613,194,915,579,756,
576,488,114,234,841,209,877,076,894,252,720,424,363,714,020,903,487,673,376,
057,172,875,241,219,376,510,330,071,730,595,510,740,903,358,661,782,131,109,
883,115,154,004,164,336,486,846,292,838,693,195,228,244,019,146,320,733,035,
020,310,834,836,518,107,589,736,318,522,576,702,790,212,800,607,400,212,637,
754,779,948,429,407,759,411,759,217,243,094,580,361,983,995,898,293,120,869,
161,987,641,090,649,626,052,198,851,124,640,030,435,872,162,239,076,174,543,
333,153,664,611,879,602,809,671,731,541,083,580,220,907,865,310,644,381,022,
185,224,193,100,947,097,651,856,375,006,376,310,775,995,035,019,358,825,694,
066,725,437,527,556,029,274,647,106,166,274,375,922,487,869,910,623,171,815,
181,075,301,761,303,064,694,457,383,474,837,641,020,957,141,554,917,420,905,
418,455,058,172,367,444,952,326,511,244,986,005,274,678,699,161,638,403,212,
859,494,880,042,508,874,631,140,002,299,562,817,342,610,286,753,815,762,791,
426,325,219,602,425,869,974,962,757,735,231,978,184,296,749,021,988,959,639,
645,888,987,600,082,634,546,818,548,181,528,408,004,064,367,646,242,703,792,
235,783,329,216,985,504,300,518,249,422,396,279,915,426,480,380,769,419,894,
935,716,809,809,128,653,382,921,045,942,723,438,611,662,909,048,999,825,465,
632,867,272,645,961,299,224,979,472,748,715,051,180,502,352,445,237,375,540,
123,700,457,340,822,746,443,340,928,035,146,649,674,714,773,127,228,549,064,
070,448,921,178,541,652,986,063,785,195,322,132,065,541,003,599,458,319,565,
879,972,931,061,423,302,733,212,681,954,126,876,268,027,239,497,205,300,602,
356,729,710,691,211,269,309,588,971,506,489,319,790,853,642,301,302,098,995,
369,796,694,148,850,603,440,273,331,219,600,505,452,118,239,782,491,902,842,
476,837,178,564,037,294,714,581,678,405,056,919,879,134,736,340,285,384,709,
889,130,912,730,962,725,268,259,404,448,260,955,426,361,601,802,017,183,446,
087,343,899,965,714,573,373,772,489,682,896,114,556,726,831,563,433,838,109,
206,275,023,605,190,901,336,909,054,469,679,085,088,462,326,738,367,237,713,
660,875,042,052,281,695,780,631,772,943,547,211,815,985,379,530,062,787,576,
330,592,197,748,231,247,263,873,748,772,313,995,053,000,201,197,563,864,134,
625,544,831,177,004,457,540,148,983,947,721,884,935,420,151,753,245,559,247,
187,839,189,349,685,687,214,309,905,994,562,945,437,801,102,327,145,998,818,
754,517,932,920,651,208,462,188,231,970,698,853,076,403,236,366,761,485,257,
965,307,877,799,661,109,855,365,938,281,509,056,552,581,560,162,681,845,653,
598,102,107,528,549,510,594,361,226,649,049,344,541,363,766,680,024,995,449,
911,692,445,641,226,158,782,402,111,945,696,606,115,598,911,105,342,969,387,
113,930,117,366,902,313,332,888,873,584,783,132,203,166,179,257,796,259,826,
249,307,557,476,087,825,182,324,982,201,634,704,698,378,267,138,948,508,764,
188,665,889,860,928,133,922,657,826,173,595,961,731,768,214,393,516,995,670,
520,263,747,371,404,784,532,187,038,629,943,741,821,304,471,877,948,458,863,
162,669,073,658,577,317,347,378,015,731,784,574,056,685,618,999,682,183,027,
779,958,175,815,623,331,448,263,249,542,334,618,382,087,971,987,048,855,257,
645,821,885,638,994,807,314,432,980,012,868,269,941,570,794,030,681,542,412,
870,651,176,434,121,829,365,527,966,257,311,082,001,997,209,458,842,876,792,
600,514,237,904,809,858,327,502,565,391,131,247,467,135,626,857,921,356,356,
964,861,991,623,665,634,501,834,062,654,984,481,273,182,145,116,656,855,502,
021,989,058,322,116,040,727,449,947,952,977,010,041,024,704,093,487,692,929,
594,074,523,942,086,043,787,082,037,678,279,928,348,888,206,062,708,356,171,
025,863,786,721,490,027,558,420,174,347,981,809,081,697,853,158,506,848,497,
527,856,059,409,110,062,212,852,054,193,244,086,302,730,647,962,396,924,235,
707,906,864,315,896,280,963,101,070,475,261,255,239,986,911,173,752,994,600,
578,492,506,302,576,983,653,169,367,745,824,698,803,482,399,865,946,807,562,
319,029,746,679,483,570,503,556,549,151,375,438,811,460,832,011,189,471,125,
274,306,510,747,266,823,176,273,455,378,903,706,517,395,029,764,855,826,966,
624,491,917,282,087,784,080,067,889,192,376,401,001,206,471,853,106,673,838,
785,765,185,583,086,090,779,327,671,010,475,199,860,702,558,177,486,633,708,
351,444,215,948,148,998,258,242,127,951,171,950,007,629,524,795,869,359,046,
666,920,402,140,119,264,447,396,200,649,378,683,837,692,629,329,424,175,084,
379,066,080,014,998,886,835,551,370,300,369,164,535,734,877,478,041,017,451,
569,059,203,795,644,331,766,910,557,100,238,268,531,781,524,989,511,376,606,
041,670,114,723,860,203,992,893,460,100,587,060,757,892,846,793,097,282,087,
104,161,834,392,806,419,258,060,696,243,789,998,456,875,452,120,935,685,452,
556,283,841,147,468,512,633,867,655,836,217,549,337,160,771,634,274,846,260,
496,393,643,516,552,139,500,836,309,095,005,682,925,781,463,508,733,854,925,
137,268,075,182,773,849,978,292,001,388,766,450,094,141,559,549,617,033,008,
141,070,193,513,342,133,839,897,757,693,642,649,679,466,512,471,873,878,341,
705,111,348,154,487,605,226,185,684,141,403,849,436,994,981,072,240,315,513,
029,741,568,039,701,500,599,063,233,377,131,825,608,199,907,658,187,709,336,
064,361,350,663,047,424,940,092,202,328,173,072,048,749,937,162,930,218,324,
122,713,042,531,643,736,413,869,043,553,967,801,948,810,858,331,484,783,684,
275,571,367,797,939,346,881,801,841,907,095,449,521,940,302,765,864,237,805,
729,983,359,369,274,813,802,385,821,774,489,952,112,234,582,815,766,658,308,
353,375,027,295,478,779,482,267,166,494,283,295,630,568,062,052,174,771,660,
531,751,741,866,995,117,271,205,365,961,857,697,997,787,588,248,562,933,149,
262,530,161,120,293,767,655,196,294,598,244,657,768,280,585,714,605,239,348,
292,138,166,760,784,030,276,914,881,008,422,449,163,450,513,127,417,103,542,
749,487,823,884,435,706,275,544,146,323,490,491,953,097,234,610,118,300,493,
870,903,337,889,042,905,124,575,889,253,696,261,331,243,333,778,835,409,477,
772,224,934,401,219,313,890,708,125,673,728,987,173,354,598,623,494,704,482,
729,593,961,189,525,149,672,045,080,623,047,081,674,774,214,662,365,708,846,
988,086,288,626,450,864,063,502,134,462,319,666,556,653,167,013,912,183,601,
413,787,696,190,626,811,121,827,898,235,445,276,128,004,889,593,239,800,626,
954,112,636,919,316,794,721,516,537,866,461,259,291,137,552,702,197,120,229,
364,635,866,737,274,737,428,668,796,704,587,266,642,925,066,895,854,775,096,
258,771,551,517,611,037,417,596,218,324,854,777,574,056,956,160,561,031,705,
546,572,129,434,471,247,474,790,661,172,193,270,888,085,232,230,007,670,402,
842,323,374,217,544,871,989,635,984,767,239,985,376,179,677,860,550,987,697,
167,379,488,171,391,996,125,170,801,047,850,656,815,624,547,658,420,054,984,
820,871,487,806,910,695,636,897,650,482,627,349,975,684,028,702,506,573,391,
727,934,845,920,200,369,735,252,715,502,080,039,169,948,137,600,868,507,782,
905,091,112,298,383,915,738,602,883,613,628,549,544,883,459,708,725,699,841,
705,026,548,755,662,788,119,420,736,078,049,324,583,455,217,607,531,398,450,
039,907,269,480,228,853,131,271,769,363,555,892,873,163,767,568,003,109,836,
785,590,701,798,139,091,756,362,752,005,731,482,280,971,566,880,656,969,655,
720,521,042,625,679,874,294,960,545,912,971,548,087,335,857,633,519,142,227,
095,849,978,239,030,230,446,154,080,605,585,107,036,413,320,556,999,089,402,
840,560,777,924,015,884,406,704,279,130,387,424,231,697,091,283,597,342,731,
779,740,484,658,326,740,463,298,521,312,591,850,575,159,703,112,001,948,126,
010,444,828,988,464,117,419,007,846,393,605,468,573,826,314,270,676,369,528,
904,377,738,308,430,878,414,905,003,046,636,478,078,913,470,024,372,990,269,
055,951,354,305,421,968,556,520,865,617,434,828,406,232,087,164,610,145,738,
486,951,007,319,108,307,518,548,918,661,318,086,978,724,931,678,186,720,824,
363,373,926,878,425,160,627,704,890,622,050,342,412,958,871,028,469,106,511,
712,521,822,960,494,459,229,655,506,090,252,029,715,763,815,445,815,799,507,
551,350,990,092,704,988,285,107,913,248,468,318,757,540,561,768,702,582,739,
273,009,827,692,949,857,590,338,647,724,677,519,106,696,363,518,854,812,838,
589,011,425,887,900,114,100,141,851,509,621,890,672,182,455,693,864,141,208,
129,538,561,029,665,194,061,192,238,956,579,937,385,544,360,712,162,249,539,
713,584,313,597,285,005,476,366,524,292,855,411,855,206,410,250,449,162,153,
994,394,874,330,679,034,066,688,516,448,832,273,595,778,047,375,863,156,002,
483,569,065,899,601,551,217,647,567,389,031,210,779,386,602,561,513,190,937,
261,300,912,594,473,396,798,432,631,285,800,694,974,877,275,204,333,725,136,
053,178,136,880,605,839,896,986,666,245,748,329,197,135,785,987,951,244,054,
778,475,288,865,067,675,308,366,154,650,171,871,736,571,190,212,478,325,235,
707,841,437,137,006,122,969,366,520,722,130,496,726,505,438,136,700,732,359,
063,960,697,347,059,955,415,038,468,380,756,075,321,417,491,372,504,449,025,
037,410,709,497,941,723,920,953,776,892,381,902,253,711,934,921,729,478,926,
222,441,762,930,000,043,257,520,905,862,177,717,756,624,806,916,486,459,950,
343,837,182,872,849,328,723,155,945,063,679,131,813,104,588,183,048,022,666,
342,887,493,070,817,211,621,697,376,723,505,934,683,233,998,858,013,207,040,
514,411,064,598,311,419,795,197,779,849,451,290,085,158,927,944,169,120,886,
493,527,922,822,847,924,096,980,387,807,115,744,922,539,329,462,068,751,168,
896,974,757,504,456,842,421,093,437,369,352,955,245,264,039,907,002,542,503,
934,298,253,259,901,605,304,899,733,742,481,525,748,431,446,891,720,582,743,
035,722,307,013,921,687,568,340,817,631,134,496,846,686,864,934,211,880,467,
111,858,423,241,881,023,809,573,551,255,110,466,665,461,650,068,054,415,589,
448,764,720,761,078,962,873,728,822,204,155,674,206,984,266,572,148,247,466,
496,395,106,394,247,450,137,381,166,566,250,264,523,863,696,966,103,726,986,
440,404,993,710,995,948,555,150,314,408,407,364,646,657,206,609,957,318,713,
414,070,532,576,259,618,661,983,504,158,119,708,053,814,706,145,871,159,214,
831,343,984,185,496,796,340,576,577,509,492,999,833,358,290,971,977,501,238,
633,158,727,650,543,054,684,966,078,488,722,115,064,413,361,812,459,871,715,
238,282,325,544,501,759,688,074,444,688,925,338,751,992,964,620,215,059,701,
625,552,307,431,149,162,337,515,859,980,502,784,389,253,340,642,380,099,212,
109,549,236,102,809,552,962,368,057,482,037,584,806,800,782,406,735,522,996,
002,161,110,572,609,930,781,560,511,297,052,859,296,307,790,718,758,152,549,
887,935,629,133,946,692,724,980,861,379,702,167,774,547,173,264,776,046,603,
894,224,223,234,190,378,068,576,125,890,134,589,965,111,818,212,023,618,980,
993,078,135,112,385,531,390,091,215,582,808,286,886,028,803,170,012,204,561,
748,444,122,093,468,601,538,977,586,435,631,457,135,390,888,209,785,056,605,
457,250,527,135,507,490,290,754,391,198,932,548,704,838,387,742,018,007,722,
315,394,091,592,841,404,617,591,886,686,296,855,180,082,598,351,602,356,086,
106,251,619,941,832,740,591,368,872,712,794,496,183,618,126,954,097,726,632,
651,556,860,599,973,592,104,585,715,322,301,590,530,418,925,401,706,424,708,
613,460,399,487,624,937,187,007,505,402,671,588,915,978,269,303,914,399,811,
786,402,022,786,673,227,253,565,990,020,616,933,841,874,134,155,411,163,599,
142,521,113,953,628,589,130,330,492,055,559,929,953,716,908,787,338,262,451,
844,444,770,522,369,722,028,672,569,451,202,778,719,224,700,959,143,871,177,
142,303,189,252,384,517,955,106,157,052,135,524,571,480,429,255,901,513,731,
443,893,212,697,830,516,260,143,452,544,030,432,317,223,058,588,215,486,373,
829,940,656,692,574,535,688,006,571,371,983,290,315,005,756,125,838,610,473,
448,421,387,231,751,932,198,868,159,575,638,984,800,464,862,505,838,263,347,
543,429,323,122,920,523,242,647,776,280,638,253,294,875,936,173,307,252,945,
367,984,350,147,580,762,413,521,115,105,273,930,415,609,523,173,822,422,573,
454,390,248,119,128,180,697,688,306,529,471,896,231,882,600,680,969,208,618,
853,587,412,444,260,779,452,187,761,513,183,452,376,004,205,985,794,597,712,
836,038,223,791,341,103,735,430,637,753,627,526,595,566,307,415,539,975,286,
750,899,433,695,336,157,364,805,681,848,658,731,355,517,311,655,080,507,158,
550,513,575,039,206,118,412,593,056,451,760,108,684,422,211,993,017,604,323,
785,162,951,569,958,745,630,397,470,829,564,010,933,264,989,420,736,704,922,
386,026,147,610,493,603,069,521,501,463,139,957,028,863,737,591,421,618,465,
380,629,703,250,386,012,062,025,650,130,662,082,902,939,978,912,757,323,306,
095,360,993,555,630,719,022,716,292,194,143,122,509,257,852,962,996,935,639,
378,167,551,377,281,641,548,509,970,961,762,426,755,449,683,261,026,822,407,
887,547,226,945,296,756,343,748,756,491,570,607,702,879,226,545,658,560,583,
153,173,396,405,506,504,018,544,417,649,718,276,714,954,945,529,864,355,863,
506,615,514,019,923,219,030,053,166,678,113,504,743,013,979,936,902,127,627,
314,385,681,266,791,830,242,510,610,192,296,369,833,217,891,250,442,366,756,
917,101,197,544,971,825,045,169,372,528,659,155,216,825,148,405,909,228,485,
950,225,178,448,806,819,290,703,760,329,692,423,574,308,268,366,596,741,756,
994,700,607,224,308,434,774,520,395,417,839,725,650,180,856,848,616,853,555,
926,321,254,116,548,481,411,965,019,900,848,502,395,138,941,153,760,971,797,
861,624,063,949,916,018,539,879,221,558,539,133,887,961,425,488,702,714,260,
635,599,874,612,734,988,394,437,694,803,673,947,296,596,906,951,005,715,820,
339,496,345,809,042,313,128,084,618,320,447,200,653,832,187,071,227,221,731,
614,852,806,837,843,966,206,267,450,039,434,568,031,000,899,586,042,092,663,
285,598,022,103,771,443,745,874,400,829,090,920,182,897,390,731,578,804,142,
750,610,303,227,066,687,553,919,981,894,064,094,464,576,022,451,071,026,112,
350,734,101,729,403,369,892,751,657,246,808,002,447,257,013,673,426,856,575,
631,008,235,246,557,465,970,147,783,995,357,996,059,334,861,850,349,280,626,
445,533,153,917,161,665,763,224,134,257,575,928,173,080,737,947,675,473,006,
125,743,771,421,464,166,907,720,902,023,197,069,020,129,045,318,854,567,516,
074,964,043,008,108,071,027,340,870,371,614,623,674,791,781,486,907,893,007,
847,330,101,308,479,741,683,958,566,643,792,646,931,931,423,668,496,370,206,
686,275,587,272,451,412,883,110,581,713,494,153,056,028,759,636,620,418,453,
589,305,470,111,219,997,946,650,492,243,716,187,269,455,472,456,509,087,150,
686,106,935,788,947,102,621,505,970,430,523,765,146,080,064,848,802,189,408,
644,680,832,479,257,033,810,861,716,739,083,565,211,540,612,169,380,678,559,
556,004,529,228,097,515,916,783,453,793,416,036,987,077,114,764,487,864,148,
185,204,968,277,756,463,987,703,400,279,261,508,769,052,828,780,493,676,531,
701,865,133,158,698,212,571,398,311,438,403,698,971,759,752,617,755,558,160,
132,823,740,924,452,736,147,910,482,848,354,725,202,773,799,955,167,963,942,
213,093,717,005,754,741,431,950,748,824,581,693,520,513,417,533,798,308,691,
547,006,195,085,398,588,877,988,722,749,543,325,478,519,776,755,767,819,218,
480,099,865,757,802,999,742,231,764,721,405,465,091,780,357,414,621,076,960,
454,037,770,230,187,832,701,733,036,002,174,886,504,500,878,593,914,169,698,
356,415,791,135,232,960,428,578,127,368,838,582,321,927,569,244,490,580,720,
425,676,532,582,603,746,144,179,017,702,142,983,332,417,187,935,097,156,416,
343,437,764,808,152,769,986,934,986,478,928,292,560,908,970,601,476,669,816,
154,000,416,136,139,314,204,565,217,657,003,085,670,608,213,222,581,326,637,
547,072,317,874,838,369,680,966,242,830,401,827,684,332,276,253,442,776,890,
888,018,439,329,542,609,496,552,307,732,726,525,810,418,696,602,819,106,022,
836,630,607,349,737,932,671,989,859,289,422,374,125,183,083,539,847,677,866,
935,489,332,831,507,813,672,601,621,595,580,171,619,204,397,204,083,045,671,
796,229,236,266,934,827,470,594,533,230,144,539,176,254,686,285,919,431,213,
204,156,986,790,251,133,971,895,668,027,651,220,119,827,810,714,313,932,281,
975,650,012,468,957,780,563,017,358,162,648,011,573,742,398,268,598,785,709,
933,500,560,987,589,801,234,214,891,309,872,736,497,629,939,217,421,028,088,
582,255,777,212,759,007,084,480,033,407,741,306,293,034,936,947,628,383,664,
815,139,549,506,077,099,655,094,321,175,496,045,783,644,573,905,370,691,806,
330,395,507,040,276,273,101,283,318,854,673,773,801,527,300,740,879,776,123,
153,894,980,079,619,440,988,963,356,576,276,880,128,912,143,038,553,865,466,
200,646,437,309,272,274,319,274,391,891,230,914,697,518,004,505,724,891,144,
427,438,914,304,593,402,067,137,439,421,579,210,790,169,473,476,984,901,115,
325,442,013,725,979,942,738,184,981,880,522,610,306,524,543,129,632,788,473,
172,430,743,547,245,359,888,904,046,605,134,073,935,388,897,757,556,382,363,
834,317,669,186,033,066,095,571,141,710,660,313,012,697,046,482,046,795,249,
726,488,523,397,623,100,511,703,737,312,028,323,467,104,284,007,436,924,502,
213,660,779,571,563,738,331,235,635,854,824,052,155,336,524,815,166,294,603,
091,883,812,883,611,180,181,860,434,807,562,730,970,990,822,911,259,814,238,
633,431,763,138,536,900,613,925,883,620,206,999,059,408,697,402,118,267,775,
781,512,106,058,635,351,293,411,753,459,514,034,157,631,876,121,537,802,220,
835,681,562,638,536,569,255,980,283,307,610,577,347,291,604,664,228,566,670,
430,761,873,064,547,971,045,618,728,830,732,518,491,726,469,831,189,885,929,
248,165,714,395,790,090,734,187,995,270,683,477,143,690,499,401,470,498,136,
277,341,317,051,690,651,314,360,612,890,355,376,192,543,585,152,920,504,372,
441,539,675,241,180,563,138,728,448,803,910,493,560,251,945,353,566,123,019,
477,525,404,450,104,231,765,855,663,380,481,111,105,231,110,839,185,220,684,
764,836,011,183,315,057,451,378,997,163,608,784,050,835,639,400,096,546,985,
722,377,766,400,006,117,725,850,337,908,650,355,253,445,545,017,991,642,966,
355,392,119,416,636,937,467,368,741,209,161,748,903,402,879,776,616,504,173,
120,226,715,959,181,640,744,396,092,693,180,519,231,603,571,815,126,433,766,
322,678,530,390,219,902,667,235,618,334,936,310,495,424,275,102,013,982,131,
438,536,165,734,785,022,751,165,390,853,676,855,518,649,065,449,282,710,640,
259,658,268,411,452,485,248,274,820,401,735,564,364,712,757,475,471,279,975,
932,141,571,005,825,113,960,999,079,142,356,854,910,400,899,901,874,848,900,
392,838,034,900,742,344,197,889,450,547,876,150,176,036,082,215,304,433,887,
860,086,091,285,704,585,836,231,699,136,639,887,708,527,557,326,157,999,431,
906,840,807,409,043,142,263,160,108,345,097,164,458,210,920,490,458,991,073,
066,074,066,459,874,267,842,390,069,382,479,036,960,447,503,684,994,462,809,
235,268,819,282,559,284,682,239,367,656,509,436,887,133,553,839,531,261,205,
285,277,857,100,331,359,709,141,920,828,886,300,170,702,997,609,437,723,449,
989,267,500,801,771,081,949,725,717,077,146,719,924,444,925,857,281,517,073,
034,531,627,043,935,496,287,629,572,207,303,973,013,509,199,434,181,718,848,
125,256,900,419,068,043,785,532,279,751,768,437,017,083,066,608,232,067,964,
429,759,191,458,365,038,827,842,640,504,238,297,065,650,798,435,295,268,354,
440,875,965,133,427,028,883,255,783,092,295,928,486,628,660,218,617,217,084,
355,891,162,779,183,273,352,594,853,529,766,669,368,998,012,770,025,822,628,
558,125,882,254,711,123,703,893,101,782,676,320,951,105,213,781,088,489,314,
905,612,877,555,804,531,876,193,256,550,621,252,496,171,730,575,556,360,828,
902,755,753,831,269,802,231,940,462,356,663,770,970,189,939,526,809,530,543,
084,258,021,279,152,931,663,318,639,165,209,525,460,796,353,035,714,410,665,
449,243,644,108,814,369,735,214,161,370,642,644,473,822,788,812,162,464,927,
629,367,480,822,777,101,775,397,922,026,543,348,687,382,872,246,377,140,830,
197,799,732,939,515,640,049,029,951,854,180,647,427,193,240,214,810,994,687,
665,310,840,375,049,079,983,581,249,287,569,752,241,961,334,176,819,714,069,
340,476,964,431,009,230,613,105,167,522,267,912,242,453,090,362,965,440,706,
476,894,585,202,576,419,563,334,195,381,240,482,430,948,017,782,126,305,236,
709,942,651,061,687,757,972,192,910,302,877,643,355,719,086,195,464,512,950,
540,033,457,230,729,716,724,535,698,768,166,071,581,903,530,917,294,403,944,
459,356,504,546,710,790,877,776,275,151,697,243,393,470,776,698,295,823,466,
366,929,155,930,219,685,098,052,278,251,868,728,257,436,406,981,888,393,441,
390,920,040,654,432,392,732,822,883,624,739,133,520,612,935,759,908,187,025,
095,675,469,824,270,102,202,829,420,438,867,419,285,602,241,708,771,192,670,
403,193,570,498,986,376,995,218,319,977,928,956,278,925,750,926,002,050,225,
438,963,666,460,075,735,446,619,160,627,640,092,409,489,823,195,838,446,246,
195,257,194,839,336,507,286,065,580,022,778,787,192,514,916,232,457,338,991,
619,261,545,314,608,658,123,877,243,865,721,252,341,639,780,703,910,751,103,
970,726,315,286,427,656,588,286,854,781,596,605,173,639,529,911,351,221,142,
599,127,534,831,241,979,393,973,206,153,092,385,484,257,146,196,423,090,148,
045,934,904,444,292,735,419,234,771,188,754,709,976,733,892,094,466,456,767,
645,879,805,185,293,354,607,531,999,113,791,490,488,114,030,940,061,231,118,
852,581,364,385,483,691,204,900,989,835,089,870,060,342,265,483,788,731,358,
529,728,172,255,414,066,670,365,712,009,643,017,229,784,183,577,771,826,970,
902,659,632,992,158,695,971,101,748,097,007,970,450,182,242,079,887,485,745,
395,683,299,246,667,096,658,846,763,109,728,340,586,018,722,062,077,855,217,
871,489,706,245,419,728,304,445,200,087,036,510,513,939,152,703,876,090,582,
130,338,464,706,852,673,287,680,216,664,981,274,764,690,202,570,304,216,511,
880,324,060,866,907,280,049,347,757,325,538,122,141,710,947,669,501,138,583,
423,525,976,709,692,615,517,284,056,891,229,400,978,878,698,964,808,693,673,
444,721,327,157,661,981,636,044,706,551,922,083,160,653,280,474,293,054,999,
208,086,551,874,565,666,517,916,044,312,695,435,491,427,736,517,572,049,690,
007,988,266,832,405,512,923,925,342,158,668,247,282,413,582,594,832,721,252,
609,198,932,943,102,471,284,348,843,204,711,738,329,017,754,554,848,902,256,
304,072,320,981,227,219,757,699,621,367,991,677,993,316,002,276,063,987,629,
568,153,067,728,737,375,667,879,641,478,520,698,173,948,049,122,402,012,845,
234,767,913,162,697,792,244,912,602,143,416,992,182,083,025,833,283,816,627,
814,639,545,415,376,262,583,247,383,265,422,965,013,998,507,825,028,364,630,
426,054,714,638,695,710,973,726,235,931,720,304,831,022,906,337,682,045,644,
732,778,213,814,695,458,285,485,119,231,989,303,989,614,778,294,461,857,480,
511,500,336,404,817,840,700,947,366,577,902,222,316,231,456,841,133,118,222,
575,860,491,404,370,418,509,350,301,977,300,288,246,163,090,237,277,141,356,
410,238,969,688,299,901,184,655,433,668,724,971,520,711,126,899,122,893,349,
808,467,031,221,263,713,258,855,399,546,604,054,755,454,605,301,568,249,712,
695,518,352,432,011,649,214,386,157,563,415,548,209,703,204,451,525,096,317,
786,700,046,025,793,211,116,870,674,601,497,985,894,508,227,413,854,501,771,
363,277,086,319,621,607,054,708,886,170,784,320,824,649,955,583,412,239,155,
222,055,305,090,756,059,008,144,660,310,744,475,897,594,406,661,839,234,706,
536,690,233,399,274,562,236,616,022,269,381,638,158,045,850,661,036,588,748,
389,154,541,019,735,089,471,567,985,355,118,859,494,426,641,429,255,314,869,
221,362,230,515,681,889,756,901,672,757,245,040,930,582,434,272,345,553,541,
770,915,203,298,394,509,662,805,043,523,054,714,046,259,878,091,382,555,646,
354,313,917,197,046,607,083,445,407,860,817,862,510,000,652,510,974,124,377,
756,186,482,515,731,975,823,947,036,895,383,193,547,325,795,700,838,401,868,
358,894,065,499,814,697,309,886,540,544,890,980,892,307,284,189,660,937,141,
357,870,653,203,093,421,554,213,402,550,970,182,565,753,862,515,179,974,358,
813,581,898,946,428,533,039,450,287,492,196,902,875,637,590,404,542,032,248,
947,487,133,619,436,782,109,515,523,748,006,050,802,840,085,739,483,865,489,
682,800,774,828,869,633,979,137,745,572,421,746,738,649,697,903,888,410,469,
714,188,772,953,803,530,965,160,050,035,404,539,540,101,778,559,682,461,278,
932,212,888,281,644,546,730,994,952,896,725,485,407,775,372,050,631,484,240,
966,418,191,764,981,410,103,694,505,321,021,261,564,528,102,653,632,836,777,
530,923,867,183,441,713,374,316,698,985,335,617,169,509,671,523,242,334,703,
610,307,809,029,306,469,909,615,440,381,910,613,179,591,523,055,355,224,938,
267,624,898,379,938,575,420,007,750,164,460,871,499,470,523,619,670,012,846,
758,012,496,980,059,093,325,884,909,192,683,100,555,045,748,122,154,805,348,
853,047,561,328,272,511,298,001,792,343,238,094,569,242,841,978,678,260,612,
363,638,834,697,399,564,424,194,324,190,252,382,351,171,388,244,042,651,804,
996,438,525,603,976,832,973,982,170,309,477,300,951,313,156,023,668,956,360,
993,907,750,791,427,151,898,420,244,744,473,987,004,682,116,076,721,158,045,
277,006,891,966,131,874,095,164,996,895,240,912,867,019,145,553,306,249,293,
856,145,172,460,968,340,681,654,261,137,115,443,779,395,898,666,386,475,910,
605,220,372,579,730,787,526,048,944,430,167,851,838,919,431,486,787,986,540,
252,814,029,017,922,296,179,634,306,086,581,232,104,494,300,448,924,096,318,
343,972,683,395,705,672,048,912,341,390,923,085,397,152,681,602,512,429,391,
119,938,513,128,112,164,774,591,996,638,602,913,104,190,256,193,126,988,136,
925,149,994,627,143,120,557,950,955,239,961,968,073,524,845,333,716,167,192,
846,688,119,879,784,623,086,794,449,226,216,343,394,947,511,053,069,277,554,
500,203,106,221,765,090,884,573,654,587,294,757,258,027,271,499,219,643,808,
229,289,703,597,106,009,540,535,229,312,637,670,506,269,330,082,532,738,052,
895,898,975,613,100,122,455,634,499,315,061,782,573,490,246,562,089,161,986,
488,753,392,871,578,893,527,295,779,918,947,502,217,848,195,718,683,830,447,
679,481,499,821,116,213,992,778,626,675,556,328,740,884,461,368,602,761,505,
688,316,284,378,142,231,545,984,037,148,730,255,356,965,540,037,103,922,155,
034,097,300,115,272,277,466,554,743,647,270,976,358,007,256,760,882,459,089,
667,636,946,361,242,765,882,889,143,868,821,779,547,051,182,121,692,617,207,
489,295,826,817,306,753,277,613,046,768,515,368,834,088,273,306,041,977,897,
314,796,606,302,558,596,178,230,885,424,336,935,778,818,970,860,198,501,626,
009,089,185,968,678,543,837,287,684,645,311,367,237,253,495,819,416,270,107,
266,048,852,695,047,694,042,127,051,898,389,281,086,394,386,037,940,880,781,
732,727,161,154,495,269,177,579,487,161,018,720,362,038,422,317,597,735,803,
239,213,660,970,471,346,865,898,892,328,002,954,814,024,238,101,398,679,553,
596,171,249,372,135,515,932,640,352,866,498,648,462,538,470,901,622,081,075,
546,740,685,784,495,664,334,774,482,987,242,957,277,326,787,590,183,847,711,
510,468,316,355,998,437,242,524,761,403,327,725,311,754,445,398,405,897,783,
046,985,033,860,676,019,877,736,396,603,296,534,511,617,116,021,934,980,025,
966,783,109,119,497,646,879,779,849,765,746,867,768,598,694,732,747,608,464,
864,908,272,150,611,408,519,020,977,923,156,847,752,865,507,397,721,371,537,
619,634,803,353,710,467,394,256,449,736,576,235,744,310,536,350,684,359,225,
687,342,676,502,971,204,513,074,924,118,682,113,243,598,705,344,013,766,800,
177,647,494,540,404,053,495,093,498,021,211,637,304,274,459,463,623,077,541,
133,865,451,948,918,428,379,389,374,382,391,638,403,850,302,538,920,709,572,
847,593,498,282,595,355,263,355,781,997,267,947,496,720,487,667,123,900,676,
573,652,812,300,727,278,309,615,145,886,977,950,667,787,197,903,078,338,054,
529,255,334,236,839,596,722,691,188,053,568,034,402,012,920,670,555,446,645,
948,159,914,278,487,033,963,598,709,399,036,248,407,805,801,022,506,776,849,
842,429,496,315,011,550,800,800,653,537,778,681,657,637,100,253,267,883,431,
148,297,504,370,680,394,037,527,291,319,702,711,828,533,002,008,402,577,618,
654,508,799,919,959,339,817,326,239,013,923,350,668,621,118,027,145,946,622,
043,562,113,534,138,708,597,287,235,081,116,256,020,805,792,901,922,940,511,
943,413,503,381,318,257,055,296,969,786,481,625,861,577,264,237,179,342,962,
960,503,485,924,698,624,622,701,890,102,732,573,414,965,757,216,506,606,752,
147,043,170,570,497,496,391,391,412,502,606,647,856,361,423,092,359,535,829,
953,023,049,760,424,499,902,889,036,189,836,991,664,824,279,038,283,719,891,
186,167,317,771,522,707,865,885,217,821,935,417,327,773,759,004,460,918,947,
646,020,838,539,765,183,747,352,311,173,119,517,082,331,514,893,286,140,828,
324,448,538,866,229,097,641,544,486,731,595,087,054,151,038,696,081,329,633,
946,099,363,105,274,927,869,203,826,113,017,223,036,937,361,769,685,498,180,
774,453,060,906,638,883,405,953,413,593,516,192,953,575,736,412,607,842,312,
123,109,496,217,175,167,447,703,808,179,066,344,046,520,681,004,033,945,822,
653,221,903,350,120,906,245,600,709,274,924,500,804,034,813,816,512,286,599,
194,998,207,605,098,796,458,561,117,667,523,622,811,028,356,666,170,042,659,
671,574,323,352,318,617,143,407,855,605,870,249,064,440,813,786,456,979,694,
708,867,647,054,870,842,701,262,073,419,766,016,417,383,995,216,504,850,186,
433,677,238,411,320,701,909,669,715,121,940,736,277,296,269,023,971,540,442,
707,793,975,073,610,499,167,765,984,925,707,429,745,472,622,709,579,792,632,
527,405,098,132,737,003,234,306,984,843,035,075,773,617,991,975,918,707,823,
331,141,983,458,273,334,086,832,205,401,666,500,903,518,121,437,064,707,463,
136,233,465,046,601,651,222,252,420,700,410,593,309,128,390,214,479,253,455,
766,166,818,524,510,863,825,133,369,731,475,919,499,869,034,868,992,079,455,
841,901,287,891,078,073,862,118,309,055,752,647,032,647,075,519,913,356,270,
905,534,079,903,273,676,592,602,145,047,075,441,317,566,528,193,420,257,707,
580,588,916,182,958,727,613,480,278,046,987,051,440,275,351,780,657,935,598,
726,094,367,270,498,630,579,203,963,656,658,463,627,027,143,891,107,938,396,
009,164,582,077,167,682,586,637,356,155,021,090,291,058,719,799,284,520,786,
672,571,768,024,517,099,539,161,681,312,308,527,124,672,925,634,108,942,235,
100,984,728,377,952,900,862,876,953,137,066,519,120,028,338,859,528,892,804,
388,503,982,462,838,445,997,291,926,331,896,605,665,446,759,606,907,859,551,
160,218,039,659,333,753,705,989,329,535,219,834,895,101,031,049,804,787,007,
066,367,809,668,618,648,769,185,590,971,037,345,565,478,819,860,703,059,293,
291,557,661,565,640,718,859,470,458,371,082,524,158,289,230,866,381,424,143,
405,915,556,826,090,278,286,827,030,191,242,844,627,111,995,024,222,042,127,
241,461,501,321,355,260,743,662,957,323,372,028,254,695,767,460,886,841,284,
482,705,766,550,064,829,301,337,726,197,920,896,905,831,934,297,519,380,912,
703,516,543,687,801,154,193,414,549,446,817,442,578,074,104,197,129,967,177,
455,634,927,969,787,578,675,714,517,288,970,778,841,056,978,920,770,199,156,
990,966,252,698,651,863,863,018,217,178,782,652,679,707,539,730,024,207,543,
471,045,921,164,124,876,012,353,090,638,143,948,191,913,130,612,825,965,143,
143,585,394,451,273,077,113,624,534,486,069,231,282,786,765,826,679,072,620,
509,036,318,600,426,910,798,702,002,613,136,994,229,317,419,788,174,133,073,
264,997,889,898,477,694,967,871,493,136,772,226,989,612,674,955,990,751,086,
772,326,770,358,216,201,101,555,757,905,121,310,110,855,585,334,550,753,265,
801,558,256,324,527,307,924,797,929,370,931,781,508,569,664,361,777,152,182,
399,748,279,247,998,422,344,554,221,234,319,011,347,440,359,338,077,409,229,
904,174,329,697,947,355,064,232,488,818,134,414,591,377,618,089,287,255,246,
333,273,319,454,741,116,774,785,371,113,905,367,108,650,500,015,407,873,171,
267,059,246,709,444,978,223,400,940,084,867,890,423,375,072,789,367,048,861,
097,428,638,086,559,755,165,939,029,543,292,278,681,279,081,713,962,916,570,
348,743,547,525,289,724,183,510,635,317,214,264,035,972,071,199,999,140,439,
300,261,301,461,883,421,250,278,591,292,689,767,790,617,323,669,934,843,938,
833,456,454,352,771,277,154,310,155,493,300,869,635,878,242,067,649,810,008,
340,474,098,376,817,248,225,281,249,652,079,686,485,323,399,104,708,814,401,
203,024,418,432,933,707,242,312,440,809,123,506,653,261,643,250,860,540,679,
829,554,243,549,561,262,545,209,595,400,622,926,994,357,383,637,792,774,849,
434,528,849,610,289,687,779,333,457,168,243,854,133,367,624,203,340,088,873,
826,609,268,493,276,533,639,944,763,747,814,345,962,142,922,574,616,410,384,
015,692,442,562,929,004,471,971,529,318,156,203,198,262,196,763,116,886,254,
866,393,014,295,173,571,810,751,283,618,131,941,915,705,769,884,823,663,096,
038,531,193,205,641,178,563,028,982,320,465,595,877,788,641,286,200,970,541,
355,203,890,927,088,092,482,349,413,220,634,891,257,468,975,011,510,168,580,
670,629,139,899,432,306,062,046,627,536,823,643,410,860,899,621,990,056,231,
178,352,122,389,441,608,536,959,272,846,372,521,329,192,736,540,518,810,699,
239,346,288,853,154,639,493,769,969,993,313,532,043,344,725,082,374,237,356,
116,993,432,754,411,002,438,926,793,911,667,710,180,361,748,984,338,420,159,
501,474,653,439,133,472,237,807,377,977,657,408,018,203,608,415,451,600,504,
519,409,910,369,591,030,015,517,054,906,460,687,114,167,915,440,485,388,608,
748,130,832,330,080,400,677,640,553,094,282,740,217,030,838,777,056,902,373,
990,177,268,142,610,847,250,892,690,398,709,857,256,105,226,725,070,851,146,
702,714,335,812,223,828,187,791,019,682,690,102,862,408,947,380,290,808,879,
113,373,167,942,698,019,916,693,607,799,957,346,284,306,034,125,218,207,215,
784,746,198,722,761,236,025,995,309,170,460,978,042,605,875,174,620,679,963,
063,973,774,963,356,278,019,265,227,679,127,830,592,191,206,364,487,157,793,
473,187,288,911,635,220,970,802,361,322,654,588,021,405,954,817,354,913,778,
915,255,722,799,037,226,191,039,727,212,571,925,329,475,499,321,093,981,633,
567,702,422,754,050,461,186,670,501,289,139,881,968,642,419,594,849,160,268,
173,849,103,521,012,212,315,401,752,621,717,968,692,926,768,777,125,457,258,
943,967,455,374,820,757,088,994,430,219,115,828,587,204,136,367,877,587,755,
648,442,674,209,546,965,042,392,071,560,722,491,642,016,235,042,113,825,168,
695,164,615,417,430,857,045,334,757,491,130,130,131,616,366,215,740,343,669,
971,058,220,877,831,486,844,336,454,216,825,752,943,086,253,469,590,468,966,
278,151,324,425,450,489,895,367,536,905,376,950,620,251,550,117,162,742,027,
805,210,053,179,599,180,901,616,460,320,570,939,515,143,215,873,520,399,800,
994,274,215,833,100,318,451,158,282,443,290,559,272,567,508,377,933,932,392,
244,649,383,799,106,819,138,835,454,842,756,482,192,787,841,726,796,838,411,
535,689,931,429,884,014,852,937,718,964,982,283,228,389,234,966,279,947,894,
167,481,228,139,959,891,938,224,904,418,706,381,834,110,904,855,749,500,785,
646,421,384,606,887,405,722,243,644,505,743,872,108,966,615,297,122,475,453,
134,996,756,614,980,963,963,023,566,200,219,645,871,838,184,591,116,952,993,
219,752,540,722,496,773,634,037,371,322,472,160,081,463,692,858,175,263,993,
290,888,325,168,027,493,082,501,107,908,265,628,206,652,749,782,267,966,245,
960,020,070,812,816,597,210,900,096,624,350,842,484,759,820,962,521,691,802,
837,028,807,376,186,252,002,393,792,786,391,993,337,186,767,574,037,251,928,
359,710,702,561,390,090,550,520,492,026,263,112,102,049,743,454,756,858,009,
614,785,143,929,427,349,018,925,302,355,595,344,262,256,625,547,181,082,352,
131,039,942,547,335,108,261,851,846,088,741,129,220,000,628,035,282,801,700,
969,386,815,625,980,562,697,534,856,454,786,232,634,945,534,578,670,356,556,
482,521,094,576,091,001,224,544,875,550,722,714,293,961,984,292,549,827,312,
671,907,082,259,804,631,241,042,736,413,346,662,780,904,369,097,495,551,828,
847,862,952,679,197,713,452,063,605,463,974,500,953,734,802,318,787,668,088,
005,846,402,080,595,371,899,911,024,522,377,843,122,937,952,470,893,791,338,
022,582,490,259,712,197,427,272,806,629,606,973,360,180,561,411,109,253,414,
022,495,048,446,573,978,637,418,501,648,140,623,030,508,074,728,916,648,120,
203,569,796,941,840,188,038,632,974,754,973,558,617,917,301,811,427,578,784,
733,262,299,962,870,280,878,834,488,617,073,978,928,202,114,525,543,388,346,
562,982,770,225,693,371,051,360,535,245,999,693,375,446,360,932,367,667,500,
507,746,032,933,632,799,895,405,202,910,571,669,319,372,528,848,996,459,860,
467,007,956,986,764,119,359,789,593,497,698,190,440,056,992,044,858,968,762,
839,611,502,851,241,496,171,234,595,948,966,812,771,043,563,687,845,109,151,
551,401,983,990,986,833,386,937,408,484,959,489,300,112,787,025,421,114,206,
193,883,152,616,036,511,900,104,599,405,020,940,916,581,655,233,316,794,518,
478,983,947,668,565,241,349,806,736,945,628,451,403,934,465,381,586,660,271,
688,620,986,686,559,386,021,333,103,040,936,471,237,884,073,126,557,924,254,
067,853,476,176,586,993,304,702,842,933,946,184,289,980,819,917,718,506,954,
835,842,052,523,738,688,152,659,754,559,466,336,089,435,371,494,659,337,416,
765,427,674,622,994,490,540,264,834,196,350,318,790,780,360,957,320,432,089,
941,404,726,260,770,995,997,587,820,842,611,388,511,877,166,139,270,438,027,
771,731,966,881,554,811,006,904,899,568,764,559,869,832,120,033,531,344,310,
589,734,876,703,431,963,708,318,096,531,685,678,508,844,802,347,535,885,064,
538,901,358,345,947,789,421,863,176,553,821,352,653,143,520,690,083,233,924,
778,730,909,679,998,762,359,266,887,634,641,963,418,284,710,853,316,693,136,
863,899,171,765,715,375,318,630,698,594,910,101,492,324,033,703,378,187,639,
727,302,793,417,245,405,777,939,834,377,082,421,865,448,764,337,033,732,174,
251,490,627,850,853,971,799,002,905,872,031,973,032,325,764,038,064,000,001,
715,319,739,372,937,320,044,362,920,852,586,471,436,980,677,556,249,028,373,
768,593,595,909,405,780,786,198,970,367,881,622,023,249,552,739,484,513,404,
512,093,807,301,528,071,275,589,545,503,568,226,642,482,111,531,911,016,940,
070,848,642,871,665,963,222,030,799,165,591,653,567,172,534,306,395,755,833,
875,037,243,868,590,855,137,480,291,171,551,049,621,554,891,079,106,287,288,
569,831,231,628,159,946,066,801,486,257,792,445,717,027,853,116,613,223,067,
516,295,648,557,273,584,637,671,306,673,436,139,103,738,429,151,156,211,167,
407,078,091,742,948,673,293,664,054,870,192,309,706,326,084,087,277,447,934,
267,906,476,399,861,506,585,453,467,049,607,313,415,167,238,546,260,265,337,
990,292,074,545,788,639,350,714,626,932,621,486,723,180,671,119,061,206,538,
878,768,974,143,017,111,508,150,680,687,048,248,363,891,012,666,691,520,552,
714,618,924,190,495,204,191,747,712,617,570,336,252,219,795,358,734,811,666,
063,800,316,921,933,459,885,538,640,341,137,766,166,657,340,935,047,141,700,
712,216,102,694,310,787,940,443,277,071,155,304,854,486,364,126,604,566,101,
728,644,096,227,575,599,451,272,082,658,969,888,517,230,768,958,964,232,217,
934,989,399,046,753,110,315,895,994,915,701,400,927,508,353,393,992,487,685,
589,838,181,861,745,348,930,510,209,335,893,296,741,297,761,717,762,376,614,
404,334,777,979,669,628,405,004,016,467,806,470,588,527,134,846,257,969,497,
687,152,055,907,000,457,543,165,520,668,418,965,861,095,487,609,171,474,157,
556,285,194,599,611,947,766,527,163,283,810,854,355,662,481,533,560,475,419,
026,227,795,567,475,803,849,309,858,180,981,095,178,262,435,089,175,768,103,
311,028,665,545,486,736,823,528,808,088,437,408,001,110,310,623,195,871,392,
729,846,922,387,897,110,639,860,397,775,945,020,654,274,581,697,905,336,328,
937,765,176,908,534,977,005,761,717,846,563,959,579,289,987,851,238,246,656,
265,588,688,156,074,923,790,392,450,043,570,205,018,452,081,325,523,324,237,
093,801,172,440,186,121,758,863,243,873,967,200,720,870,931,525,529,091,183,
006,893,396,032,280,139,043,713,378,658,102,147,815,522,716,489,197,720,740,
457,727,653,793,024,914,753,079,352,042,039,283,565,218,575,480,886,428,410,
010,113,520,348,318,983,916,927,061,037,893,729,923,141,836,333,754,625,494,
004,721,637,162,255,940,502,415,819,573,264,359,129,941,355,279,697,469,655,
327,801,164,546,997,267,535,886,490,515,076,062,683,673,542,443,411,009,786,
796,630,594,444,491,447,999,822,665,124,387,976,151,181,218,657,341,368,685,
541,089,276,470,707,759,561,913,790,955,573,320,381,665,319,156,798,897,035,
783,266,275,648,514,963,047,467,870,526,591,733,250,229,662,728,175,577,917,
422,835,453,267,314,228,596,926,301,225,209,547,680,269,631,754,461,938,072,
939,814,116,915,633,633,863,177,471,951,980,224,804,384,137,219,058,970,386,
611,811,677,240,274,536,984,653,067,191,541,166,241,151,491,133,966,114,865,
810,408,415,508,238,077,743,273,356,649,819,651,501,474,674,207,173,832,148,
439,843,744,086,390,156,058,278,633,469,754,466,132,703,774,664,994,494,017,
343,089,090,732,800,908,858,391,761,116,098,748,570,932,162,067,684,392,688,
915,659,169,651,970,335,298,521,817,087,124,251,531,335,198,223,899,480,989,
527,205,182,529,043,951,170,574,198,336,554,939,475,724,014,574,192,396,094,
516,075,680,485,100,867,181,304,668,066,197,595,316,273,613,941,942,630,269,
993,250,338,529,055,817,588,744,545,237,665,202,204,830,325,791,705,610,441,
379,451,616,063,454,433,910,230,202,684,649,917,494,513,442,800,184,423,375,
802,646,711,854,613,474,277,780,578,403,325,745,960,286,889,848,925,042,511,
934,454,320,140,723,441,043,687,556,213,021,246,034,821,321,202,605,617,888,
547,490,940,890,952,464,644,525,548,474,148,784,708,210,221,646,330,518,506,
237,548,029,796,793,038,603,745,123,930,911,721,697,387,347,490,972,497,950,
810,838,230,281,953,404,975,914,274,409,552,567,127,947,612,356,685,329,283,
457,808,403,618,220,225,064,370,810,220,216,359,245,513,448,813,781,435,928,
119,263,294,628,973,320,214,662,395,111,270,995,297,521,335,164,657,742,539,
074,360,834,627,076,259,404,902,302,894,448,657,638,017,280,314,429,094,690,
567,478,032,241,767,415,669,513,533,412,486,787,015,220,751,477,937,688,864,
846,857,207,567,581,960,899,045,368,482,580,101,386,726,876,985,855,825,536,
759,325,733,137,295,160,722,447,331,132,659,426,657,574,911,173,013,705,080,
914,156,349,696,173,076,953,927,324,389,433,566,954,907,951,091,167,658,910,
341,517,367,783,456,735,366,503,073,531,211,993,687,004,217,336,878,311,833,
193,623,156,618,268,641,512,266,932,199,095,988,107,350,460,043,122,523,168,
234,468,497,058,196,926,537,754,908,123,563,009,095,898,787,507,784,873,145,
638,673,963,499,115,001,774,149,893,775,813,191,704,506,272,731,667,301,777,
242,882,150,816,271,528,618,093,186,068,440,885,818,982,549,609,593,577,008,
838,542,752,231,992,727,476,025,677,205,211,779,430,463,969,468,579,004,908,
294,735,917,652,382,864,657,031,339,816,050,928,941,724,642,384,171,502,203,
530,163,319,431,504,073,379,388,603,239,194,539,398,153,584,582,477,383,885,
196,247,228,591,874,268,741,102,378,799,754,391,163,300,709,465,873,795,285,
947,939,276,408,373,347,526,569,628,048,181,743,799,361,082,328,392,746,207,
353,336,532,552,161,567,286,833,909,706,868,743,145,397,985,325,615,555,648,
904,944,759,481,686,235,447,710,598,862,070,739,502,462,547,421,710,986,412,
062,284,982,675,690,744,673,693,868,722,756,564,379,231,796,642,513,752,272,
278,539,842,003,005,105,927,504,421,321,526,956,259,498,001,820,115,371,330,
553,811,813,956,150,971,693,753,329,109,912,934,863,925,058,500,823,011,592,
585,520,207,998,683,948,629,616,688,653,176,711,537,303,995,674,380,445,816,
475,812,462,954,129,480,862,960,541,256,162,018,333,854,658,112,178,670,800,
031,210,605,154,368,307,096,938,124,670,624,379,648,842,239,802,610,949,181,
838,204,052,884,956,808,979,410,894,495,042,606,825,477,756,656,225,859,253,
591,144,579,579,855,711,099,349,890,801,401,740,185,892,732,310,347,828,195,
935,842,412,060,765,677,708,773,119,671,189,286,548,894,256,136,679,389,869,
763,908,538,193,932,680,223,685,473,452,564,482,917,377,336,978,922,238,784,
365,681,645,388,304,497,416,838,520,456,830,475,799,997,153,522,644,101,322,
257,236,049,695,028,099,174,626,117,341,175,531,711,085,084,154,716,737,721,
248,449,793,113,440,762,362,242,918,042,432,694,601,656,787,266,334,942,121,
776,527,338,555,499,324,422,277,622,964,740,591,313,559,660,154,219,870,150,
961,398,418,516,786,397,145,700,850,050,136,070,302,194,396,760,307,782,974,
976,969,434,917,528,185,427,985,819,949,506,664,787,320,730,793,308,951,770,
356,825,012,351,864,093,375,588,793,939,668,687,045,090,977,528,327,316,198,
010,767,674,932,705,075,562,581,976,276,467,531,095,617,890,912,428,990,672,
839,386,581,722,632,966,895,858,060,836,819,553,531,670,491,487,856,315,060,
049,605,781,217,999,129,638,414,622,311,237,649,323,503,115,718,122,893,803,
017,297,555,197,166,574,401,109,333,150,260,982,556,074,166,294,168,695,626,
665,090,035,953,695,784,180,976,589,215,705,684,660,470,819,469,662,464,739,
016,311,448,696,039,007,606,496,268,520,236,865,301,313,815,828,305,942,855,
533,673,816,781,737,284,740,529,167,548,370,478,321,409,001,023,743,080,030,
098,554,263,614,258,958,271,846,160,680,679,680,259,466,548,431,557,759,891,
917,391,953,755,144,001,808,532,698,344,767,548,152,215,942,225,018,353,301,
978,718,035,065,605,064,443,888,800,603,042,674,269,786,809,424,856,656,956,
026,472,560,909,414,543,959,694,292,822,613,433,658,342,869,790,151,275,213,
305,438,091,205,174,981,777,797,840,768,335,474,679,216,367,179,312,584,415,
225,888,304,526,390,874,874,088,906,046,479,210,205,887,057,775,705,496,420,
861,066,808,409,658,014,993,657,326,247,194,396,078,189,161,361,742,539,319,
920,443,218,812,461,934,691,175,259,676,584,057,958,582,789,542,868,692,694,
656,682,171,332,326,753,551,182,369,539,085,795,946,393,932,679,717,141,661,
808,792,805,249,404,840,047,238,834,844,353,327,705,788,629,208,709,185,852,
652,054,318,190,727,446,143,265,233,700,409,109,358,624,443,951,114,477,243,
345,415,586,860,742,826,122,107,907,839,839,837,549,269,096,750,755,042,808,
522,554,799,631,038,036,006,214,090,109,385,748,333,964,303,190,722,761,303,
219,156,112,483,956,380,702,442,363,015,545,387,417,502,201,976,778,488,233,
718,928,245,757,139,427,580,744,094,821,213,720,889,473,050,427,498,539,054,
082,368,025,365,090,330,425,832,961,444,011,394,335,125,444,524,860,458,006,
988,617,773,928,004,725,580,051,682,898,237,281,271,990,903,746,229,160,967,
810,909,961,995,823,320,262,511,395,272,496,942,988,468,424,777,206,071,552,
218,566,764,598,951,215,463,615,338,051,818,752,527,447,490,908,349,512,700,
340,288,495,271,493,853,138,687,920,525,598,672,647,641,703,216,259,052,914,
808,644,789,339,396,620,176,466,511,224,147,737,288,475,269,434,367,289,431,
941,148,519,050,276,970,499,157,887,670,625,240,733,854,671,723,422,895,435,
016,071,046,467,920,652,873,745,426,716,189,944,762,048,646,778,549,939,824,
550,704,832,592,588,291,760,115,981,902,006,183,989,811,251,153,439,499,316,
899,573,723,037,669,257,482,637,469,887,560,707,354,249,251,615,386,540,747,
590,453,853,549,236,047,658,532,484,926,282,141,504,258,814,184,719,364,985,
972,911,440,184,730,056,259,817,069,013,899,667,007,528,672,870,447,393,853,
766,269,694,467,199,104,168,428,042,569,159,795,527,919,396,075,190,523,338,
900,224,023,759,222,140,006,272,597,760,020,794,552,179,234,802,427,117,522,
165,026,792,100,128,125,240,307,477,762,535,458,952,394,069,285,983,417,752,
457,607,769,460,081,099,474,550,227,993,475,413,641,847,413,031,413,480,018,
858,611,830,260,936,022,265,916,637,134,267,224,685,472,048,801,664,744,406,
372,576,243,390,526,310,303,235,026,238,180,316,110,095,252,484,634,235,724,
636,591,170,427,224,979,875,307,785,207,902,178,758,332,765,952,787,976,850,
895,300,350,045,746,774,221,042,345,455,888,034,868,684,240,740,594,247,885,
050,369,345,453,517,734,050,336,196,375,872,269,951,570,889,595,773,262,378,
014,137,839,162,887,103,281,734,334,847,993,290,956,072,478,631,736,824,840,
861,442,654,271,221,661,346,379,262,223,704,148,589,736,961,337,314,572,242,
786,464,762,396,636,661,055,105,224,340,330,897,343,790,654,031,541,405,361,
718,869,686,748,610,101,008,944,284,509,736,360,248,156,799,358,685,289,644,
694,075,861,320,223,151,265,659,170,591,660,526,190,944,938,572,390,761,064,
054,716,863,128,765,082,884,066,299,436,230,666,170,832,466,273,438,861,960,
676,663,035,857,925,555,115,550,048,963,772,442,444,804,650,334,422,259,198,
503,300,667,306,611,935,187,861,998,584,907,777,530,608,051,924,486,843,576,
595,807,551,845,436,579,218,459,807,240,711,703,721,376,800,524,357,581,276,
166,080,793,227,110,131,132,673,021,711,683,822,132,215,711,410,739,136,487,
455,265,560,890,667,312,413,808,773,358,662,631,923,906,271,449,851,937,464,
268,639,340,269,085,304,576,798,926,766,181,433,621,779,600,285,917,438,969,
369,323,549,394,169,405,348,376,423,807,509,326,577,249,435,610,082,363,861,
446,359,435,188,895,380,255,609,349,289,156,391,144,499,162,626,653,048,185,
236,748,740,909,152,134,398,302,978,827,456,317,895,691,425,552,698,557,462,
051,542,840,370,897,278,327,932,337,636,460,259,948,748,003,606,625,511,004,
736,405,919,857,284,115,415,697,913,565,557,427,440,788,755,174,354,253,924,
406,132,707,257,280,442,264,571,255,872,593,289,710,469,376,379,147,025,658,
777,906,782,986,916,600,967,218,700,524,373,467,728,983,266,214,137,595,815,
861,481,396,121,585,892,522,751,067,751,333,255,170,139,969,546,120,623,763,
169,052,756,909,593,029,164,938,662,513,805,197,754,246,984,567,056,062,603,
214,342,350,334,080,863,423,157,609,195,191,541,729,288,325,225,080,920,505,
223,194,561,056,471,635,814,856,117,308,677,811,830,350,350,937,941,367,989,
465,263,857,735,864,202,620,743,645,948,202,022,372,959,920,330,389,605,718,
291,627,757,285,305,697,263,296,202,011,942,627,612,228,022,020,225,621,031,
855,297,570,186,732,381,556,505,219,489,921,088,079,653,804,405,350,176,005,
137,833,447,455,410,417,671,886,615,776,668,699,325,829,614,162,803,347,455,
795,071,226,502,334,657,985,400,399,633,274,809,460,565,769,990,358,513,157,
346,168,349,961,731,242,914,258,021,059,207,414,463,607,723,015,222,607,300,
758,863,643,615,131,653,946,948,620,539,937,784,876,863,659,488,426,348,498,
745,221,327,038,621,232,540,524,847,738,184,884,067,989,083,792,805,831,178,
388,582,044,143,745,060,046,250,055,700,052,955,727,817,820,013,907,299,079,
880,272,661,502,047,728,348,011,320,706,254,634,432,709,817,478,148,516,744,
280,946,565,361,704,618,633,507,268,677,977,271,226,047,269,887,370,266,199,
837,639,957,368,124,925,299,589,933,682,595,113,286,464,617,485,643,516,599,
160,449,324,058,488,885,140,156,669,817,120,690,927,642,170,594,657,790,993,
680,434,802,558,509,033,742,406,376,710,858,052,438,793,495,130,223,289,138,
043,605,646,594,711,459,196,427,049,619,070,913,751,752,097,602,431,004,884,
924,236,580,791,396,948,837,030,415,749,045,583,535,905,225,324,582,505,071,
270,696,286,066,456,389,812,915,874,665,661,478,096,527,592,782,812,470,848,
220,260,702,720,700,287,853,224,828,675,272,437,965,507,466,619,843,786,742,
457,321,942,873,794,815,960,177,453,547,616,770,022,106,522,004,233,366,313,
174,394,888,460,609,842,135,372,922,177,564,736,894,920,861,949,989,113,319,
138,697,114,983,698,551,438,191,368,453,280,389,693,091,188,830,807,104,663,
007,867,788,039,562,157,606,544,718,175,530,286,253,865,523,556,983,965,135,
216,675,418,355,755,042,050,330,753,843,668,179,815,498,041,300,170,193,947,
738,699,107,291,443,869,695,903,659,776,447,281,977,473,634,422,566,651,616,
101,194,537,304,365,781,666,218,099,750,752,258,225,499,016,211,819,137,430,
114,147,150,328,406,941,753,684,250,056,326,215,491,602,030,381,720,092,697,
504,051,150,457,538,361,666,827,165,457,395,896,773,642,479,005,839,044,400,
791,532,430,792,594,938,604,123,843,042,049,516,734,428,571,494,954,201,958,
983,664,545,213,751,825,165,545,928,765,254,695,880,223,886,337,024,186,644,
438,344,991,138,465,678,443,657,468,667,528,475,168,817,375,017,298,991,760,
918,190,996,760,794,651,687,421,172,674,741,376,062,828,671,896,251,232,986,
391,591,507,936,551,466,749,828,928,275,508,313,352,467,357,718,733,812,757,
705,302,423,478,992,299,076,935,621,951,689,349,544,022,931,576,507,016,745,
422,646,336,427,687,072,778,318,337,269,992,732,446,291,008,825,862,708,804,
144,097,093,554,456,118,058,698,732,565,644,642,157,938,897,670,089,654,788,
982,457,443,834,499,054,599,746,429,443,569,353,922,080,506,626,639,050,079,
089,084,671,793,702,829,940,032,810,720,669,232,674,402,760,483,748,816,291,
929,596,457,389,168,504,240,718,408,951,573,649,991,592,902,739,786,840,474,
980,623,053,923,024,455,985,486,352,534,278,197,762,811,210,583,492,424,983,
317,675,567,430,783,724,146,794,140,831,911,588,797,672,513,868,776,503,103,
449,845,164,669,261,416,539,842,220,171,987,252,425,899,735,518,287,193,003,
233,966,588,376,478,111,498,727,500,033,334,355,885,990,814,732,687,711,140,
861,852,524,572,573,579,798,191,686,566,756,080,800,999,479,638,538,499,782,
538,571,402,273,844,282,627,709,335,636,240,459,494,758,444,959,190,496,480,
168,721,144,293,250,537,952,634,525,651,209,620,291,447,450,247,266,405,991,
076,976,948,688,792,950,819,164,687,527,301,978,711,619,414,383,693,624,397,
144,164,488,893,499,314,477,986,591,728,470,103,024,223,463,925,837,574,827,
719,149,315,300,712,163,125,726,888,625,922,627,374,169,325,936,776,806,361,
152,555,868,624,853,861,374,320,262,650,633,255,437,783,157,522,401,998,858,
828,414,270,318,670,165,543,595,461,004,479,363,507,454,105,960,031,595,999,
194,872,884,612,351,783,864,196,394,490,664,740,372,877,924,591,254,548,414,
983,337,018,181,596,890,593,477,232,497,488,206,682,163,036,516,473,648,288,
249,387,243,052,947,177,486,273,046,554,548,299,363,584,652,974,700,463,702,
254,465,382,516,870,239,092,556,598,078,922,716,751,083,207,783,296,439,449,
009,754,248,198,797,424,772,619,548,537,882,831,769,976,053,528,253,011,013,
428,288,241,583,647,601,951,436,340,950,313,746,089,546,591,951,284,528,655,
758,825,071,186,301,782,250,139,407,672,423,417,865,004,410,563,609,699,636,
918,428,916,308,099,487,398,398,637,836,038,511,397,529,617,450,030,285,751,
943,504,046,749,856,848,153,199,538,164,627,267,792,805,691,004,487,143,999,
318,925,949,050,676,365,665,691,807,942,708,724,782,914,782,779,897,175,587,
229,811,064,907,181,002,481,514,415,301,167,203,507,611,224,533,139,840,769,
815,631,900,860,119,401,426,535,781,673,433,537,164,480,423,386,097,585,954,
082,619,131,565,613,084,823,123,284,051,766,031,040,873,830,779,455,893,072,
794,047,081,108,037,298,006,052,809,898,425,564,449,004,862,311,988,002,528,
833,540,509,866,986,101,107,412,742,457,595,551,107,676,184,408,228,445,035,
266,956,792,337,945,948,049,309,650,770,125,979,275,725,699,332,335,747,096,
788,339,655,826,590,331,069,222,662,715,832,249,335,974,503,367,511,558,746,
254,211,217,828,323,692,246,027,269,876,394,135,539,746,031,672,297,024,109,
613,924,387,136,341,555,433,027,829,092,716,454,802,796,437,319,472,589,147,
634,494,611,121,796,033,958,794,964,043,327,268,904,980,432,274,069,485,103,
965,367,183,982,994,318,519,218,101,088,006,314,892,376,854,761,140,300,652,
690,556,259,154,177,626,531,561,257,832,783,721,195,539,071,685,493,964,511,
027,301,570,287,933,287,075,987,438,502,017,613,263,446,043,819,077,619,058,
373,103,249,816,812,978,843,426,976,115,127,578,788,612,314,899,882,376,673,
786,572,529,328,709,517,455,776,164,812,985,310,321,020,753,064,611,901,212,
428,306,319,259,993,616,207,677,203,394,378,749,353,354,103,061,924,031,546,
505,579,043,122,009,860,184,689,122,144,940,210,865,847,323,071,818,809,618,
959,277,865,359,300,270,722,712,011,947,111,119,713,013,029,745,037,294,247,
637,847,345,275,827,189,000,210,718,568,806,031,069,254,595,768,518,600,129,
273,589,491,327,605,384,116,598,287,747,657,463,847,569,135,489,906,269,384,
541,628,626,052,866,205,428,905,828,747,276,746,660,303,945,092,650,097,978,
621,949,423,851,601,002,558,879,052,577,120,631,885,459,529,785,200,132,497,
294,709,449,029,204,749,147,165,633,580,886,234,988,127,579,939,300,393,365,
030,342,563,331,926,347,502,650,916,862,387,872,195,770,495,415,802,843,899,
397,713,474,574,520,108,943,560,575,810,573,462,004,031,573,395,637,227,114,
489,822,537,249,720,563,544,785,599,329,020,354,829,339,620,966,268,761,486,
276,963,223,648,260,906,075,798,912,011,000,074,139,506,356,901,426,838,698,
861,034,678,737,946,852,039,289,131,962,285,150,135,317,210,979,198,975,831,
319,679,226,308,848,779,910,231,260,193,523,216,871,769,909,733,014,196,889,
369,763,893,391,451,113,454,187,578,382,820,711,823,124,738,791,873,621,529,
019,146,198,601,520,191,050,957,445,747,225,498,782,271,485,767,638,630,114,
402,091,392,805,101,643,887,809,853,997,908,896,084,000,395,626,228,008,164,
990,389,763,659,637,083,831,532,835,217,187,527,529,160,195,604,719,733,298,
556,491,223,771,140,459,725,062,877,410,073,534,293,431,157,958,541,897,427,
967,228,935,199,859,732,698,516,254,558,832,541,921,539,658,530,352,719,801,
297,490,397,408,913,372,176,330,014,230,661,052,613,407,936,604,896,838,517,
881,966,323,459,272,828,775,280,733,503,655,531,537,883,260,218,998,492,977,
447,810,607,058,659,473,590,088,128,628,809,797,589,140,499,780,745,681,265,
201,292,059,703,237,991,729,409,731,984,066,489,394,521,568,478,791,133,771,
160,243,016,276,126,659,922,693,313,552,912,821,212,894,985,458,920,798,872,
328,146,069,714,644,065,877,279,044,914,520,884,651,456,764,717,827,385,977,
427,490,069,772,385,219,129,828,237,261,993,498,037,571,351,576,242,821,195,
640,358,492,156,522,615,881,570,162,229,505,567,388,032,781,677,471,658,045,
827,002,839,076,992,845,551,779,926,405,755,283,748,343,545,782,163,368,266,
977,300,646,210,055,612,722,887,739,463,392,391,366,089,070,400,116,120,052,
886,925,258,566,694,776,540,023,827,006,987,978,665,775,345,700,456,896,155,
459,639,888,903,104,782,268,972,307,400,031,519,389,503,450,426,258,979,600,
795,251,113,273,707,047,411,180,337,046,911,906,477,585,560,631,469,889,699,
928,383,486,380,164,392,790,343,579,854,367,758,969,544,956,706,204,504,819,
323,945,474,451,690,333,316,333,240,617,522,292,404,599,428,466,967,020,361,
556,321,795,941,197,091,989,022,661,338,672,388,361,604,631,248,216,802,819,
274,663,213,655,846,811,481,358,174,030,235,860,761,993,461,164,272,730,630,
578,330,008,034,126,230,994,712,897,049,694,901,384,942,345,595,508,434,178,
898,568,218,175,395,359,406,219,448,022,518,217,854,361,004,890,250,428,000,
348,223,111,418,981,065,762,746,087,715,296,039,147,906,850,002,130,010,825,
101,486,704,374,054,357,465,686,389,020,131,918,100,132,973,846,119,077,797,
876,835,225,320,599,595,378,100,230,550,479,986,775,675,110,896,498,323,750,
128,460,148,482,401,328,557,926,233,322,173,335,746,555,507,941,031,306,435,
171,895,262,361,734,792,831,547,764,644,071,311,252,331,841,166,558,755,538,
111,774,654,132,528,436,365,617,573,360,254,149,508,576,311,086,214,478,442,
139,451,906,473,904,007,563,861,306,723,946,511,446,002,470,999,621,869,173,
790,503,552,644,562,072,467,275,375,919,757,488,622,198,555,911,429,502,766,
230,580,462,187,857,763,859,956,643,979,453,852,699,205,216,739,599,131,322,
419,764,126,934,475,531,615,264,113,336,920,195,743,424,919,655,808,346,495,
799,294,374,425,118,916,803,353,253,192,674,311,728,740,675,080,522,837,671,
800,013,386,971,759,825,164,935,885,653,544,056,071,819,429,509,322,330,593,
307,803,997,836,375,698,308,314,681,924,421,984,629,817,103,955,126,263,020,
233,892,206,955,512,221,834,420,228,850,672,377,628,825,835,960,432,395,422,
100,743,856,869,460,397,863,432,546,649,638,152,985,096,167,938,679,882,622,
820,503,285,089,985,175,408,715,365,881,234,810,076,546,371,616,260,517,872,
747,038,926,319,296,568,834,045,824,401,802,253,732,275,450,070,552,824,235,
024,983,499,363,106,275,343,686,898,713,649,550,679,040,078,449,551,753,077,
459,911,529,969,257,293,591,626,582,189,500,123,542,909,907,258,657,204,519,
379,625,889,999,226,596,245,416,454,140,669,693,556,872,238,622,248,747,504,
443,254,975,037,857,137,136,204,961,028,216,464,316,696,194,642,854,179,202,
742,591,835,621,456,379,311,993,820,947,249,427,697,590,391,068,975,291,045,
203,325,191,358,232,625,451,470,577,127,615,027,334,143,552,265,448,476,976,
490,619,292,913,242,852,873,190,979,846,050,067,938,295,769,137,535,558,402,
795,317,494,290,641,381,719,928,522,716,425,591,348,054,870,110,255,220,212,
026,574,796,538,808,410,288,642,433,117,541,150,854,399,517,925,837,149,614,
917,797,861,616,782,311,947,551,036,221,527,564,906,914,232,655,936,054,505,
392,822,780,129,812,107,315,304,686,632,274,048,757,268,138,607,005,912,454,
951,625,208,738,438,385,277,783,014,658,291,264,612,742,159,608,451,287,151,
327,737,318,827,660,076,958,360,800,550,090,507,492,142,567,961,953,311,145,
502,709,515,908,048,120,397,490,075,955,455,371,665,487,860,590,506,660,416,
098,462,719,264,760,586,437,083,654,276,158,287,226,527,277,986,358,484,595,
362,007,418,182,201,935,957,258,707,494,458,022,932,220,731,245,170,574,424,
172,155,859,958,586,972,491,038,993,941,360,061,698,412,577,552,186,149,455,
264,194,661,012,887,202,397,468,988,346,794,011,984,040,263,142,005,976,270,
722,036,947,952,181,529,182,041,150,355,072,124,446,116,207,777,494,355,751,
518,328,818,108,502,916,646,040,993,179,358,580,422,343,502,012,671,504,319,
618,678,644,167,978,587,152,461,125,500,787,900,474,059,686,546,867,757,672,
349,839,809,007,554,438,609,938,930,924,479,623,430,960,109,365,963,197,642,
844,639,434,725,004,599,655,281,972,679,859,183,280,478,087,967,338,962,909,
046,201,459,565,212,038,951,862,224,895,452,021,145,734,758,849,617,514,975,
837,603,204,029,379,753,975,574,754,513,711,488,753,464,867,445,208,865,244,
701,065,519,151,325,936,993,488,805,407,307,745,496,686,857,470,659,272,675,
728,807,410,645,494,470,702,248,289,860,099,118,668,056,862,855,206,934,341,
846,406,282,774,045,242,152,533,085,698,467,613,030,513,769,812,138,325,296,
790,448,067,794,208,460,474,383,522,404,122,324,763,215,996,829,662,653,561,
592,919,218,424,314,953,697,044,438,581,012,200,854,864,046,862,205,947,791,
311,776,149,113,594,831,653,018,641,199,220,667,824,226,104,514,011,019,451,
707,300,458,393,595,981,133,813,954,048,428,851,399,949,562,602,441,075,606,
306,522,231,316,500,743,604,174,049,752,498,004,026,090,813,003,162,214,446,
973,537,620,378,244,286,569,581,954,759,893,948,331,471,884,557,056,184,922,
025,993,378,617,839,223,828,872,684,236,489,594,153,763,464,767,717,653,080,
437,016,312,703,111,830,810,458,253,409,458,234,460,591,991,294,430,695,086,
974,200,459,649,631,178,090,427,827,530,571,829,207,745,505,160,725,682,506,
477,926,533,743,228,165,962,434,341,485,656,965,212,420,393,318,241,431,013,
655,071,313,012,554,794,752,747,096,343,012,403,242,018,440,612,394,571,134,
679,036,565,283,924,916,279,864,347,580,378,238,570,750,029,824,284,994,144,
088,776,413,722,610,136,093,232,126,652,800,392,904,688,511,389,096,720,292,
307,370,481,508,366,996,414,761,335,137,356,043,809,690,475,052,532,873,236,
776,712,549,803,424,476,904,908,750,460,281,667,730,793,412,824,523,025,245,
394,477,702,895,101,241,950,435,541,828,109,712,228,218,502,500,782,634,249,
687,956,114,484,602,561,096,005,338,697,885,800,798,377,459,551,599,691,181,
662,586,050,608,175,424,984,173,503,171,024,750,463,608,214,765,030,571,400,
116,872,537,452,195,948,537,147,533,685,502,686,030,431,135,688,421,237,610,
744,155,286,543,255,175,661,953,559,151,421,217,384,523,740,832,694,062,705,
370,532,411,908,824,548,126,467,984,617,084,994,017,019,225,406,221,827,189,
351,684,297,989,034,259,981,111,856,066,744,853,586,380,969,210,689,672,658,
257,364,700,562,534,206,515,653,407,420,349,072,882,235,730,647,267,290,536,
532,926,632,463,275,338,972,932,326,239,856,729,365,257,233,793,763,324,747,
363,041,157,170,484,361,722,832,397,219,120,951,160,378,910,662,635,084,215,
936,442,428,828,556,380,684,979,917,264,992,504,390,307,550,449,709,706,723,
080,336,325,379,179,262,677,675,511,227,221,973,212,042,002,432,044,074,201,
628,829,012,532,277,806,629,969,589,579,667,377,182,932,625,414,766,023,879,
662,098,112,781,866,458,171,637,586,635,435,630,120,740,147,210,427,708,021,
099,000,720,721,065,210,820,003,301,673,851,914,991,769,042,258,146,715,476,
341,876,848,767,157,588,785,879,973,483,349,599,484,385,082,887,706,819,266,
557,083,414,616,513,599,535,234,210,968,409,225,531,233,488,105,253,765,982,
952,432,186,709,167,544,177,584,777,742,806,736,441,342,896,137,364,521,673,
895,403,895,510,898,460,092,599,012,014,278,395,165,501,614,835,400,274,272,
195,271,041,038,925,477,384,135,481,408,577,406,845,299,560,451,291,454,660,
055,888,613,521,847,288,799,061,772,063,449,011,078,344,428,888,235,255,969,
240,169,299,436,471,297,481,007,513,619,795,954,489,962,576,261,985,279,810,
253,816,132,972,505,804,870,381,790,887,844,314,648,913,164,337,324,265,844,
832,039,069,862,098,313,376,142,664,669,586,303,949,452,509,683,285,206,287,
803,560,648,884,096,341,637,431,470,009,556,554,553,876,171,517,843,907,568,
601,334,354,717,786,097,526,381,033,669,102,126,693,077,630,733,297,662,210,
224,816,733,894,983,801,508,650,782,724,208,496,699,365,764,553,325,546,387,
222,593,448,035,048,514,708,264,252,013,171,638,856,631,148,191,885,212,683,
996,932,700,368,845,094,162,959,144,839,155,794,480,378,297,677,658,137,001,
529,129,410,508,193,667,804,919,670,027,499,568,117,281,297,487,620,319,147,
039,618,985,229,300,671,593,450,866,469,485,398,461,029,377,738,753,020,491,
830,783,996,944,960,183,021,716,224,980,502,475,161,885,164,942,464,700,184,
078,311,630,798,709,818,368,123,762,389,147,673,277,587,396,242,680,449,529,
473,501,319,729,831,883,404,420,053,698,315,010,833,916,240,706,292,850,695,
652,254,550,101,955,248,460,761,621,806,409,780,611,594,518,552,928,534,393,
997,808,262,771,160,374,632,210,902,807,793,850,300,974,518,681,089,909,775,
407,084,122,583,934,362,903,096,763,806,745,394,415,662,170,892,202,629,586,
040,590,225,890,948,646,058,914,017,429,951,960,573,123,607,233,563,483,035,
017,520,137,225,843,007,113,397,871,393,631,698,491,355,171,757,724,477,017,
410,566,214,701,176,052,852,618,577,807,211,152,677,812,682,023,212,400,546,
923,942,532,629,393,508,127,891,901,603,055,348,724,419,708,661,223,892,832,
663,387,069,792,791,034,287,446,765,363,007,315,010,608,507,978,817,412,545,
781,379,658,794,925,278,881,440,250,436,407,761,077,343,860,595,840,556,209,
194,408,312,470,663,065,006,027,134,173,714,072,326,474,260,680,772,913,784,
997,420,667,424,688,614,762,254,407,969,322,722,875,503,496,943,321,600,456,
026,619,362,037,209,973,409,172,106,761,195,761,136,635,600,548,654,207,152,
013,329,934,400,835,596,761,925,965,917,236,146,767,126,491,992,764,123,296,
970,390,286,237,072,878,991,129,572,778,472,529,666,095,049,731,439,462,939,
638,291,617,029,701,026,301,391,796,202,640,897,018,774,333,812,621,392,255,
494,119,588,184,936,469,623,055,621,572,216,030,209,392,581,762,979,025,247,
828,180,092,102,710,849,019,413,413,431,360,950,388,300,374,373,892,484,394,
825,187,612,319,224,347,909,999,600,327,594,138,986,591,812,719,881,288,879,
311,055,767,955,437,543,114,664,466,895,107,779,420,682,249,769,407,515,698,
173,689,213,419,114,213,364,823,112,042,526,648,084,634,220,481,799,585,843,
732,118,175,516,375,649,842,288,242,775,458,888,260,195,487,425,558,840,653,
532,169,084,842,387,121,817,320,660,690,969,750,161,089,813,958,728,638,384,
811,231,970,293,362,008,239,985,637,396,185,340,197,901,504,798,910,592,163,
713,759,509,501,052,335,456,156,554,419,403,178,908,222,443,314,399,905,252,
913,991,527,089,263,579,345,066,671,223,383,671,699,934,516,035,014,476,401,
593,389,147,985,316,406,034,404,525,905,568,583,667,770,401,959,813,485,237,
719,756,259,010,483,481,469,331,832,013,269,597,462,104,890,975,809,645,391,
281,488,398,123,834,615,355,575,698,598,393,939,115,643,042,845,717,228,902,
200,956,280,822,107,240,521,204,345,795,992,841,784,334,932,581,852,052,266,
207,674,939,567,579,150,109,554,819,585,377,944,012,385,273,910,313,184,225,
994,471,241,252,376,367,178,204,411,389,239,994,773,817,446,850,135,550,598,
444,086,279,003,892,042,707,871,548,345,167,701,306,510,172,806,943,428,315,
875,251,983,845,705,066,324,441,700,704,058,940,269,266,651,238,485,698,929,
673,902,055,576,214,334,010,616,068,907,028,583,713,973,224,288,234,505,246,
320,269,436,793,428,417,902,706,194,420,965,347,313,322,244,850,251,054,470,
477,584,597,308,006,453,299,207,713,096,402,652,084,147,217,671,251,912,501,
381,287,951,370,890,392,157,690,845,307,227,362,861,723,496,697,373,291,109,
919,067,682,933,237,621,905,416,084,381,706,345,303,337,873,273,907,509,747,
671,416,657,361,801,425,745,079,154,850,363,030,782,469,290,878,858,650,174,
574,425,532,287,400,962,568,653,976,734,214,869,400,056,347,724,337,060,174,
925,031,623,617,205,764,171,947,663,036,962,008,719,852,606,653,456,022,242,
637,320,056,171,564,270,271,217,338,028,484,810,534,641,357,256,669,420,738,
789,127,443,873,060,189,333,217,038,478,616,532,348,156,470,712,126,264,254,
162,176,855,293,330,464,451,194,919,618,587,847,977,552,745,089,901,595,664,
021,581,215,419,925,315,959,642,755,273,909,532,505,898,039,680,888,424,291,
711,156,798,130,578,342,270,045,683,311,264,992,000,137,010,466,065,122,438,
528,233,775,638,085,135,106,581,465,723,286,330,964,196,889,514,726,146,130,
617,594,926,626,696,712,955,757,584,686,184,043,079,765,388,878,424,874,778,
261,412,490,720,254,832,842,002,373,985,827,039,412,357,097,346,704,587,748,
615,485,922,558,663,796,250,532,871,111,703,450,234,733,842,756,484,880,375,
570,850,225,768,004,997,268,999,659,826,024,003,145,937,911,827,239,566,618,
737,636,137,153,867,852,715,628,207,078,798,018,966,400,455,106,855,432,081,
234,101,570,420,361,527,207,637,842,397,854,546,157,795,307,143,674,631,163,
864,708,845,469,772,105,035,058,540,907,368,114,712,142,006,767,965,624,267,
029,664,822,302,728,265,029,048,010,633,999,120,467,859,606,698,328,518,964,
330,643,607,419,819,437,173,589,841,786,271,148,157,967,936,946,560,865,517,
042,265,342,920,300,380,488,313,417,818,029,263,390,489,636,875,268,740,959,
102,739,412,082,869,896,403,196,845,399,776,608,510,431,778,898,706,745,696,
430,436,171,256,193,681,381,433,066,494,198,793,575,696,615,383,640,260,039,
586,604,049,733,708,548,166,089,802,220,977,472,304,106,807,963,018,238,448,
813,652,081,422,356,551,060,017,306,222,405,376,319,119,331,040,049,401,501,
329,312,483,500,528,234,846,657,063,299,893,145,892,129,125,501,023,001,356,
088,247,705,910,845,607,803,315,052,208,613,128,295,757,919,645,899,619,747,
736,796,842,899,236,278,419,314,353,276,280,316,329,298,636,326,725,336,238,
279,512,749,276,709,198,894,112,297,388,607,335,454,405,377,582,690,062,746,
732,477,384,121,841,943,367,568,765,873,648,816,022,551,519,595,396,583,974,
067,331,773,263,193,644,596,538,718,220,043,499,765,774,908,809,921,974,415,
284,898,882,967,541,174,311,100,624,782,258,846,516,774,848,551,169,259,602,
850,150,399,152,504,039,598,993,568,151,574,352,085,652,629,643,173,595,205,
536,443,931,323,725,508,455,952,305,848,752,075,568,549,442,060,390,370,342,
555,385,737,308,871,097,689,238,439,433,476,327,876,250,686,495,667,001,463,
052,462,370,436,338,140,056,429,699,102,650,226,981,031,725,043,236,186,064,
444,112,160,850,180,125,279,464,279,551,485,833,261,315,002,147,000,597,345,
435,672,955,448,213,858,251,418,244,590,823,324,301,708,067,701,983,183,512,
038,474,118,869,284,393,378,930,605,301,743,151,819,136,899,510,904,662,204,
094,780,468,022,410,007,788,996,994,703,904,517,840,583,186,210,563,210,470,
090,941,612,038,897,011,474,005,773,483,340,625,159,283,695,991,450,470,769,
622,484,432,019,773,779,433,999,148,581,832,618,213,797,433,653,451,716,574,
055,310,003,600,266,309,484,382,617,064,606,815,596,510,447,817,893,896,857,
760,126,421,592,507,034,183,787,657,322,934,788,474,641,120,169,862,717,748,
192,181,887,252,591,330,839,545,117,066,799,212,879,537,961,253,838,084,488,
307,250,570,669,249,764,271,094,662,107,599,225,285,936,402,822,036,744,435,
265,703,253,774,541,001,430,576,829,466,233,751,548,418,597,125,181,900,963,
820,135,080,979,869,406,642,387,027,188,040,704,970,783,102,309,532,710,028,
144,230,209,793,503,387,309,077,436,568,596,493,691,369,787,762,381,320,834,
708,527,171,582,922,923,941,105,532,052,561,779,018,608,959,971,251,519,507,
565,495,220,973,995,667,050,785,739,769,310,601,400,402,097,764,808,589,076,
531,380,561,937,432,013,058,483,039,812,040,723,406,565,590,070,984,030,470,
889,223,282,024,073,528,836,741,378,899,895,872,520,659,874,211,106,849,697,
125,638,434,765,976,805,731,627,883,430,702,005,351,683,740,018,427,110,881,
582,832,579,897,152,796,275,229,969,434,418,132,501,786,172,752,228,178,577,
076,229,867,681,332,909,357,287,978,300,271,335,311,167,354,593,774,541,913,
568,537,260,592,888,351,220,369,566,835,488,107,480,539,969,263,565,645,605,
059,164,668,990,752,378,969,929,776,531,726,476,898,313,665,709,162,437,965,
970,789,459,127,435,950,026,230,291,053,903,875,487,975,634,889,760,026,533,
080,401,241,581,047,776,052,419,224,812,140,989,818,554,866,854,719,058,984,
084,820,664,625,852,813,166,171,289,620,942,055,580,356,371,080,689,479,408,
220,933,194,087,016,138,729,636,885,006,636,453,338,419,490,102,103,435,754,
902,523,516,526,630,352,110,309,102,208,318,240,029,986,660,771,245,990,821,
379,821,925,065,907,514,117,777,319,250,603,054,727,900,290,103,847,491,978,
239,365,553,162,404,380,179,561,309,009,445,760,434,509,656,479,787,839,037,
855,600,620,274,411,869,953,706,065,292,555,940,988,664,579,295,522,235,522,
587,629,646,198,859,711,889,330,521,739,177,913,537,670,998,990,641,314,073,
260,322,435,631,697,238,714,716,184,652,138,937,773,419,790,813,191,902,825,
289,775,097,581,666,665,817,571,176,364,245,343,701,522,054,960,075,056,719,
844,074,126,359,014,248,911,785,862,453,136,198,916,571,362,061,251,168,912,
182,600,395,912,732,131,088,774,205,711,645,718,838,491,476,351,368,667,818,
172,525,479,073,762,228,353,882,106,073,287,626,341,902,603,836,039,607,703,
208,719,277,696,028,538,398,171,409,395,132,330,203,947,869,621,327,272,472,
507,399,356,550,485,403,272,053,373,451,207,459,978,823,414,242,911,015,375,
963,630,168,101,512,773,373,078,805,880,095,607,087,481,226,460,949,378,171,
309,458,340,442,459,031,651,783,260,339,056,338,388,048,859,161,481,914,346,
088,215,685,592,208,113,636,194,417,055,759,278,537,353,300,528,393,250,719,
643,898,769,353,738,909,350,305,573,550,098,328,592,311,774,294,557,527,640,
673,137,085,847,416,966,877,940,863,121,625,597,817,225,341,038,120,604,443,
870,703,121,581,567,082,534,232,535,784,081,237,267,267,720,117,559,574,308,
270,498,069,084,365,536,221,529,317,729,831,969,004,938,729,234,314,836,204,
531,537,037,457,684,843,592,906,077,620,049,056,439,961,973,647,804,546,975,
987,851,993,506,500,610,236,313,445,480,614,731,295,113,602,282,253,707,081,
669,632,090,485,983,104,261,480,875,087,049,872,718,811,957,034,124,672,671,
017,902,871,506,089,712,311,816,487,742,232,221,188,716,188,522,937,056,097,
386,663,856,794,146,417,627,621,107,662,628,213,361,923,732,570,641,268,691,
628,226,767,399,313,879,074,203,380,409,905,438,238,917,670,643,281,320,506,
123,735,636,132,774,682,112,619,427,835,675,126,096,205,936,853,754,388,554,
522,591,153,219,302,899,564,058,433,204,482,469,313,952,680,194,079,080,480,
844,075,522,578,546,693,701,609,046,252,815,129,875,422,534,351,419,596,728,
162,740,554,080,424,901,290,804,853,320,689,867,796,308,626,511,879,188,888,
558,697,507,162,748,901,979,255,964,993,596,869,162,152,906,879,568,816,535,
422,829,312,077,537,033,326,324,623,360,336,719,116,513,415,127,737,775,577,
895,871,775,070,654,154,083,418,066,338,826,615,104,935,324,683,951,129,485,
330,335,092,485,516,343,905,945,620,312,269,533,046,343,622,317,586,664,522,
522,232,339,546,753,052,147,252,984,937,360,448,702,231,433,551,638,596,704,
389,590,317,249,841,185,682,947,288,160,703,594,778,728,822,013,888,393,245,
462,348,502,738,111,250,429,169,633,748,033,899,191,567,991,120,855,454,597,
677,095,275,616,237,534,704,051,308,966,198,462,174,585,049,249,818,926,499,
327,106,956,021,301,483,731,730,909,876,817,097,272,300,990,208,206,266,838,
649,591,042,245,485,567,797,035,932,463,869,219,367,534,852,789,197,496,040,
269,950,455,970,079,213,433,556,118,734,672,525,413,246,963,736,606,647,968,
644,903,634,418,736,115,074,846,412,353,687,208,521,320,456,578,534,204,128,
940,410,633,389,016,449,167,501,045,423,958,941,925,028,152,592,129,842,409,
091,220,968,207,981,150,219,013,383,397,071,171,832,205,145,031,674,139,512,
063,686,468,896,371,362,048,107,015,671,059,129,210,832,401,100,147,801,918,
841,725,220,884,204,513,695,309,502,974,329,864,242,326,091,758,327,380,852,
395,399,158,963,529,465,067,450,050,110,265,954,365,164,297,069,227,756,325,
357,570,322,772,259,791,426,386,950,855,595,603,910,876,315,227,024,617,056,
743,619,900,814,949,439,348,352,901,003,422,715,038,250,182,083,053,556,614,
438,936,861,918,997,711,176,096,286,371,662,430,383,878,404,025,778,411,333,
328,206,206,762,973,623,219,954,610,414,426,939,621,575,413,504,242,113,308,
205,339,855,325,298,242,932,998,734,547,400,880,114,672,904,050,268,751,698,
197,666,289,550,745,703,119,907,513,362,181,481,530,663,706,261,430,646,153,
758,429,835,239,111,911,734,020,868,805,142,892,700,572,965,640,718,354,085,
424,181,237,001,498,932,860,016,454,350,624,268,596,761,203,630,713,260,872,
277,654,151,446,096,067,444,557,188,552,112,974,411,744,623,272,337,335,684,
073,120,643,850,184,677,581,902,472,396,676,531,431,763,138,100,494,672,216,
894,171,150,343,056,370,626,576,523,271,079,118,282,446,841,841,705,529,772,
004,400,221,392,029,030,339,631,283,518,032,185,711,354,187,404,849,676,276,
222,559,560,471,687,596,726,457,807,876,878,181,246,051,643,661,718,643,683,
289,750,398,634,037,067,915,617,011,251,778,930,929,350,298,125,669,930,480,
574,515,392,982,263,194,997,966,079,389,722,259,029,494,048,408,410,916,468,
228,773,657,905,195,774,850,766,999,894,897,011,433,486,103,431,988,384,075,
735,108,016,915,569,162,898,270,374,123,437,158,420,976,654,263,403,618,198,
877,258,540,552,649,745,413,050,967,348,192,073,722,114,637,181,678,053,724,
997,682,473,164,290,280,351,503,996,900,216,968,906,443,206,101,636,565,299,
770,417,780,427,747,071,162,673,159,863,098,506,118,451,259,477,661,135,225,
233,760,320,011,445,099,558,577,152,148,916,993,088,148,558,172,524,127,238,
167,625,654,392,808,409,972,827,526,322,962,849,318,604,661,534,238,839,991,
447,605,525,232,225,333,895,812,574,090,561,749,581,216,768,713,159,336,727,
588,347,180,118,130,232,292,006,566,891,871,685,021,574,974,764,964,785,011,
989,062,496,980,974,242,750,650,348,516,328,982,541,508,925,867,742,975,612,
633,358,330,974,933,389,156,124,247,215,791,167,246,799,854,216,499,045,280,
480,284,603,372,455,716,345,816,024,755,073,849,056,445,200,835,100,309,331,
185,049,700,410,863,441,173,917,607,887,767,353,845,379,949,508,441,590,436,
133,702,075,640,179,054,375,205,421,378,790,425,304,082,302,564,064,580,920,
912,760,455,077,844,357,594,968,890,043,208,583,137,079,960,994,162,511,039,
388,424,298,646,816,921,527,377,357,275,065,811,647,160,341,386,232,859,391,
415,768,959,111,701,960,990,531,769,604,652,157,025,447,013,377,665,348,543,
645,909,068,620,256,454,230,367,143,616,528,935,786,965,060,247,564,651,878,
177,336,807,839,566,519,302,344,833,785,402,493,339,173,365,180,131,700,753,
414,952,171,819,752,770,198,420,794,217,076,781,071,573,501,814,677,276,720,
812,021,526,097,282,894,719,623,574,010,828,055,284,163,119,891,693,725,925,
799,975,231,804,419,028,973,333,701,913,970,017,374,835,926,736,296,850,313,
752,111,991,506,146,120,279,442,289,706,501,068,438,866,346,079,741,679,692,
957,602,148,979,884,683,385,174,361,417,335,334,429,567,938,305,668,248,625,
094,450,453,359,721,410,400,964,359,353,023,429,874,794,779,874,590,050,170,
793,818,155,430,764,580,874,197,841,310,933,901,814,290,562,049,943,233,923,
433,920,701,275,795,440,849,623,432,826,247,359,868,591,411,929,756,404,619,
892,748,697,442,084,884,780,316,161,244,337,473,347,571,835,041,644,283,532,
292,325,852,596,177,254,698,321,370,449,847,439,140,199,558,859,009,185,799,
618,854,386,757,191,344,000,598,571,702,149,141,649,985,661,404,942,923,187,
926,885,302,479,429,195,004,492,159,687,596,186,675,271,857,028,169,305,582,
736,177,408,389,549,247,037,667,042,746,405,717,129,562,834,871,643,355,716,
738,606,387,646,899,794,949,028,332,763,199,436,533,859,527,966,728,985,682,
978,656,134,768,155,863,598,745,428,576,072,513,508,404,593,220,632,692,412,
754,118,595,791,431,775,902,466,972,413,250,527,134,863,147,068,595,746,536,
550,479,147,870,643,331,298,298,426,350,661,347,091,511,741,625,677,755,064,
992,681,694,561,930,537,525,397,153,240,788,412,376,774,267,798,496,058,973,
886,756,952,410,098,051,980,208,519,550,173,471,776,442,271,486,815,967,657,
610,752,528,321,751,165,357,962,299,378,363,637,155,783,466,255,978,417,697,
846,764,486,986,572,139,287,305,650,055,471,993,574,736,907,595,655,727,105,
461,988,230,309,314,820,795,162,159,757,053,231,186,433,237,639,628,011,450,
763,384,823,002,296,655,169,159,128,036,161,427,856,486,252,966,746,276,830,
133,658,139,875,464,671,893,649,481,631,663,641,427,377,759,796,097,358,686,
192,214,014,597,725,766,139,079,733,616,212,599,186,072,908,004,426,506,804,
402,150,175,784,074,494,486,133,455,310,965,664,087,351,867,142,857,810,669,
370,120,030,208,810,598,275,839,321,959,128,909,502,479,589,850,767,125,124,
600,224,980,998,825,018,060,468,023,965,820,196,527,428,342,158,901,688,074,
021,084,815,163,160,211,889,317,134,868,343,267,102,349,493,137,025,248,655,
766,516,308,752,835,178,516,046,088,305,936,409,635,180,573,600,930,983,468,
923,273,037,395,649,989,087,866,283,781,899,834,186,646,701,839,188,927,181,
688,453,522,746,180,968,045,653,999,882,340,364,453,827,761,980,927,125,865,
443,561,785,565,274,464,154,303,622,954,687,063,820,895,369,488,956,093,723,
877,079,084,771,072,520,371,136,942,842,406,066,878,914,935,727,260,640,292,
040,816,840,630,880,304,137,264,784,927,727,325,379,171,216,129,627,020,538,
580,664,552,610,475,721,982,654,059,386,080,232,718,528,564,928,792,325,365,
686,525,641,108,584,404,857,677,214,361,547,573,861,344,326,529,610,046,368,
395,719,005,206,553,136,892,158,116,315,437,834,823,759,694,049,812,432,075,
233,126,307,613,416,079,391,204,972,606,265,025,337,774,643,566,459,183,515,
609,983,041,424,720,276,620,247,932,986,662,730,397,316,566,005,168,226,412,
385,469,998,457,841,485,951,072,417,444,078,899,950,916,909,832,257,884,935,
944,239,584,350,884,868,241,771,738,513,479,407,270,279,041,949,351,930,391,
107,187,015,447,359,518,495,536,780,118,821,515,654,292,489,817,643,373,023,
666,390,193,204,661,763,020,536,846,619,560,120,708,314,424,840,384,068,094,
548,106,246,370,424,448,163,995,727,379,049,303,061,642,781,246,928,629,678,
505,393,757,679,105,658,209,601,012,956,354,280,349,060,646,701,580,067,435,
742,368,289,914,279,159,566,280,545,318,401,872,264,274,651,744,019,525,222,
956,174,316,024,328,221,198,680,256,494,053,489,914,341,061,027,604,028,318,
287,227,445,096,169,545,119,726,169,203,881,693,387,981,015,779,109,136,723,
012,416,245,551,516,609,678,911,658,331,747,717,599,888,019,361,247,173,260,
672,086,209,157,476,599,662,306,854,044,682,703,635,549,236,059,771,795,337,
317,070,760,922,892,229,604,236,640,556,989,521,333,103,775,727,478,045,943,
284,152,344,204,925,759,964,727,249,165,113,372,725,074,481,167,624,116,009,
685,384,816,366,578,858,401,948,576,904,226,814,078,513,456,125,622,472,254,
114,199,254,063,818,063,187,989,380,842,219,291,038,739,328,136,003,596,602,
610,201,723,028,508,668,920,820,619,090,034,965,076,165,866,712,322,299,431,
828,548,150,495,818,091,392,865,439,957,105,944,584,619,819,211,491,926,946,
976,710,396,435,624,697,522,272,909,314,139,243,902,856,831,160,641,066,157,
043,213,754,360,960,509,542,314,073,187,341,363,206,840,494,160,947,745,493,
427,438,730,311,565,127,756,098,761,802,862,438,199,616,501,588,026,525,475,
667,270,624,156,081,151,331,254,571,240,096,458,488,006,249,456,548,822,041,
250,529,958,193,161,582,294,194,797,889,435,697,514,892,710,935,212,088,427,
569,750,586,162,958,752,858,423,513,147,782,037,172,395,535,007,350,422,693,
218,020,422,135,428,489,928,665,129,415,034,190,925,214,794,205,449,993,673,
226,451,650,822,054,841,744,703,978,837,849,594,945,529,660,623,540,769,358,
754,699,951,481,718,187,534,280,157,061,288,531,433,476,796,659,829,350,577,
277,118,384,162,545,750,495,381,742,300,389,915,224,616,394,933,581,443,271,
542,184,407,577,278,392,240,201,587,637,033,975,652,624,344,622,408,990,279,
033,506,950,608,054,703,794,919,199,344,527,701,480,627,966,546,661,110,958,
733,537,854,881,455,914,280,252,773,000,683,955,241,303,782,300,013,538,498,
949,298,380,136,106,543,805,731,581,160,092,831,243,472,662,162,708,104,548,
829,438,805,688,118,808,403,333,662,363,128,275,364,029,257,041,741,523,295,
663,936,955,842,385,129,572,870,761,161,092,478,399,952,404,155,948,599,103,
300,531,363,639,020,182,831,054,207,234,183,828,160,860,870,294,031,553,740,
285,703,877,974,992,831,933,710,478,193,593,853,255,674,976,879,328,920,169,
681,651,793,619,418,144,117,658,618,234,970,480,754,217,181,364,571,303,406,
312,367,633,741,762,792,185,699,491,005,900,669,458,586,341,730,758,447,711,
164,107,142,585,567,980,050,744,491,601,475,248,586,861,633,087,897,079,766,
717,008,675,453,701,963,917,353,261,296,373,783,152,040,985,493,253,663,035,
332,223,849,741,827,728,114,747,585,181,939,497,463,890,079,117,363,648,261,
569,803,712,890,746,085,736,084,042,700,698,693,538,412,348,911,502,467,610,
869,063,388,939,061,092,372,835,659,445,758,784,540,571,710,480,598,395,490,
074,486,418,551,349,347,305,454,270,842,952,000,781,356,547,505,913,048,776,
299,386,022,816,988,761,308,767,326,980,974,550,792,819,176,180,412,132,711,
430,956,996,425,047,507,896,239,293,906,311,053,977,602,982,168,035,194,366,
995,252,082,978,349,465,388,463,257,066,732,842,829,200,371,543,684,584,925,
300,162,639,781,726,241,644,013,472,759,911,010,837,282,888,593,425,174,736,
787,045,959,412,575,102,113,793,666,029,267,824,176,591,105,845,722,482,749,
751,741,587,260,135,943,691,813,822,171,072,206,710,466,534,005,165,299,695,
330,459,645,685,551,607,452,555,512,499,593,742,391,755,178,041,444,121,627,
752,357,541,285,196,812,917,775,778,523,520,365,834,046,054,260,141,181,102,
533,222,303,865,577,657,053,083,870,322,167,460,657,747,491,596,962,567,400,
965,703,176,033,250,560,993,170,950,213,533,330,793,634,835,421,983,478,797,
795,981,189,398,364,432,096,547,152,522,419,298,615,837,008,469,651,565,581,
942,289,475,370,158,898,670,956,269,266,853,216,713,245,864,403,812,245,675,
917,310,943,406,865,542,627,697,491,388,119,784,795,371,512,565,690,781,562,
011,925,227,942,899,833,041,986,640,026,233,901,510,623,495,064,929,725,195,
612,502,326,971,183,959,478,426,376,236,941,131,700,291,639,115,326,776,544,
176,963,635,013,088,527,145,995,147,814,598,599,523,996,117,147,498,060,041,
789,131,199,529,997,762,417,369,137,234,723,449,829,374,278,827,787,889,135,
708,003,292,208,123,964,995,500,413,839,722,056,013,949,548,662,291,706,341,
920,502,793,990,453,368,379,695,372,461,567,411,441,001,007,831,544,503,535,
926,072,441,345,890,632,165,687,306,742,572,637,957,230,026,217,889,710,859,
144,849,406,803,339,567,050,814,524,976,437,013,660,579,102,470,748,661,805,
910,631,883,042,001,484,644,143,494,286,628,358,979,669,463,134,439,603,698,
426,773,948,089,101,911,238,998,500,106,787,248,209,219,917,137,013,134,362,
554,666,297,607,836,825,476,435,939,116,799,254,697,755,041,861,562,094,812,
592,517,708,346,628,857,753,082,093,729,226,735,425,915,964,948,733,498,818,
002,507,786,140,878,989,550,155,337,864,934,440,171,062,716,057,037,328,116,
620,854,918,921,426,514,476,399,806,032,744,386,435,752,562,426,529,935,322,
865,583,584,571,646,651,970,371,372,896,517,269,916,508,713,353,907,096,137,
893,106,827,892,026,298,549,504,990,883,989,980,018,449,464,796,808,982,401,
002,599,048,077,522,178,097,789,628,193,436,268,451,963,788,885,650,953,697,
922,848,608,079,202,060,992,091,123,468,386,095,109,519,345,715,926,618,195,
289,163,311,911,475,766,640,267,434,217,204,918,655,407,005,207,378,399,380,
204,354,221,443,440,968,637,846,864,285,846,969,789,432,682,315,018,278,018,
076,909,692,125,631,200,554,865,293,869,695,226,714,092,076,144,646,778,927,
166,466,025,438,535,046,034,880,328,727,735,030,349,433,706,442,780,079,898,
020,741,289,944,333,903,246,402,528,696,872,668,384,810,161,564,548,079,619,
301,595,508,192,765,753,493,188,698,189,542,375,075,338,693,754,587,123,340,
180,284,895,442,258,400,276,436,088,881,276,406,661,607,613,076,444,673,107,
429,749,411,939,709,705,373,716,269,063,756,814,357,359,562,001,048,431,392,
909,192,628,305,272,311,330,038,601,257,417,431,586,530,276,964,913,649,457,
572,373,265,418,327,721,543,608,512,005,132,234,363,936,358,271,041,151,433,
398,628,777,706,722,501,341,924,862,035,643,242,364,454,087,038,446,078,068,
757,013,946,154,105,936,208,417,037,027,844,371,197,198,086,141,693,673,473,
396,921,285,880,145,487,737,731,203,222,081,428,537,059,635,659,305,268,338,
081,516,774,104,300,053,788,136,825,645,010,674,163,939,181,161,377,931,329,
202,712,698,920,105,520,145,868,557,673,095,818,831,500,120,988,125,387,466,
237,312,898,290,680,274,291,881,946,861,716,089,620,897,404,095,294,628,845,
213,381,667,329,682,872,147,404,394,024,588,952,867,274,715,164,762,423,502,
781,258,301,105,936,874,618,166,269,205,630,058,726,261,634,568,813,505,059,
764,714,030,438,930,318,374,079,878,308,964,893,201,075,823,677,585,015,651,
204,625,399,896,680,218,029,380,834,399,509,273,921,430,492,651,676,338,620,
660,614,619,156,699,264,049,922,090,641,344,238,412,318,177,207,735,895,574,
972,761,461,123,868,593,909,328,280,726,795,622,515,848,207,742,851,626,509,
255,552,346,325,032,372,320,921,510,703,745,484,769,808,922,182,146,733,549,
552,547,139,143,341,775,879,079,499,501,610,522,480,333,336,182,026,674,746,
341,961,935,095,253,896,603,208,655,410,794,927,689,959,987,345,522,973,084,
141,086,378,315,248,792,167,003,825,079,394,600,182,833,226,834,776,880,287,
761,902,755,222,769,583,100,870,817,687,043,802,174,434,658,391,291,807,407,
206,161,796,909,198,579,976,253,730,415,531,644,828,849,038,006,677,138,787,
091,680,340,629,642,939,841,717,369,403,723,736,759,718,665,146,158,751,460,
683,659,560,190,173,065,485,944,482,511,341,596,314,255,777,159,156,246,294,
179,616,560,307,647,477,371,062,897,701,319,288,445,575,739,869,593,948,132,
617,050,260,799,678,370,940,441,917,153,187,382,238,153,935,327,562,402,209,
092,224,959,460,013,879,242,116,195,033,696,117,278,278,176,779,210,963,926,
741,034,280,876,630,653,572,423,816,605,337,027,892,952,674,074,523,499,350,
445,206,455,051,679,456,508,744,719,302,196,698,233,631,707,389,704,077,435,
394,728,034,124,499,374,037,725,204,278,184,063,741,146,093,300,729,537,267,
273,010,197,564,451,518,989,797,892,018,585,844,891,035,957,313,788,123,877,
993,840,415,754,127,496,133,718,879,813,235,784,239,235,696,526,472,848,779,
899,564,294,625,836,642,529,263,534,938,723,531,296,621,734,981,938,081,055,
872,262,081,259,551,015,506,817,640,745,162,069,208,655,667,009,125,186,075,
564,707,301,678,396,234,615,462,564,777,228,408,634,294,009,979,951,900,860,
805,719,205,625,815,362,481,809,482,553,427,378,847,078,597,270,590,017,089,
466,915,640,880,244,116,416,789,892,291,835,634,106,083,783,666,316,358,053,
002,186,893,217,129,411,951,454,388,510,481,828,731,162,748,724,751,463,742,
050,232,261,562,705,192,352,145,770,291,313,483,644,219,782,766,056,682,909,
642,162,285,845,271,798,241,423,324,885,747,490,544,711,942,676,390,832,014,
052,132,958,707,728,826,949,712,405,823,777,547,749,730,692,761,535,250,350,
347,146,101,797,940,847,572,717,024,803,847,502,377,266,364,510,362,547,586,
175,186,043,058,440,298,508,038,171,928,986,856,203,899,090,364,093,328,735,
557,896,786,702,258,744,634,066,124,144,691,929,511,818,722,409,348,784,727,
227,025,744,935,969,255,014,429,729,004,999,912,798,394,400,270,691,472,743,
852,451,607,547,750,541,418,344,411,259,021,773,059,264,585,785,195,856,514,
033,232,521,115,627,179,160,853,982,623,887,501,871,435,830,413,478,689,718,
711,037,791,417,068,519,197,536,473,539,609,211,483,004,539,970,534,115,045,
822,652,162,900,539,956,116,166,182,437,090,464,920,200,665,778,733,020,566,
808,293,492,620,670,780,895,983,720,395,033,017,838,426,033,072,213,508,258,
580,974,598,869,156,632,722,196,678,519,927,769,039,469,808,198,621,808,139,
745,606,786,812,633,199,006,316,969,799,525,564,695,468,873,426,467,507,598,
495,896,902,874,417,766,670,229,491,674,395,873,477,750,694,327,465,925,138,
997,046,297,349,989,246,712,463,200,574,119,370,358,393,865,857,315,278,295,
782,593,576,037,223,248,119,485,867,304,773,658,665,441,194,180,205,003,281,
715,969,780,005,719,039,398,526,923,475,258,219,104,650,998,101,098,473,384,
324,945,845,812,819,802,552,279,938,135,935,684,365,121,446,757,104,011,144,
778,718,478,543,312,486,894,880,926,429,528,397,604,673,861,114,000,292,501,
338,007,491,348,678,091,048,194,608,896,101,091,073,039,791,192,997,417,328,
787,325,933,954,012,958,548,560,228,580,500,004,901,630,444,656,084,433,128,
994,648,898,970,737,587,550,418,590,369,339,347,466,011,414,206,532,049,625,
084,897,378,132,367,321,088,670,110,115,733,916,826,802,358,217,823,136,688,
190,001,264,698,685,517,976,779,951,646,192,896,099,280,248,722,813,119,849,
994,898,011,727,082,194,624,397,695,506,887,706,278,096,813,737,354,541,665,
055,036,963,932,283,249,548,435,140,030,789,938,254,623,232,017,935,396,718,
211,625,058,504,403,810,225,424,448,277,401,804,503,465,400,276,332,688,776,
910,933,382,809,832,712,092,035,944,269,906,229,927,418,537,132,595,990,930,
106,227,927,552,359,760,319,860,695,280,516,432,648,919,589,937,303,730,070,
981,244,863,775,873,154,280,537,121,573,354,607,876,689,433,449,422,865,068,
581,860,104,269,572,765,689,659,287,975,742,010,103,309,480,363,284,497,915,
007,114,351,482,817,061,037,954,410,473,961,272,661,775,388,924,502,685,151,
508,924,922,081,063,255,115,231,774,120,125,758,200,894,848,891,087,745,199,
665,398,642,816,534,533,312,973,649,133,127,423,001,317,950,698,039,783,601,
573,445,573,814,895,880,874,024,093,533,732,058,403,997,108,004,233,852,924,
957,957,932,251,187,984,758,042,243,406,277,190,163,479,403,008,444,709,814,
170,469,042,631,271,834,213,260,886,925,786,791,167,520,253,091,216,758,634,
375,184,316,693,560,711,330,805,338,715,041,548,200,422,126,519,886,043,494,
146,963,105,194,939,181,340,038,593,941,248,903,523,468,532,909,526,940,643,
389,938,150,376,246,851,823,754,596,487,512,407,535,220,535,824,916,691,175,
017,898,712,848,532,079,994,319,968,157,711,191,917,512,121,622,107,231,114,
397,739,333,467,822,863,408,347,066,067,767,024,285,202,882,206,189,400,262,
854,235,209,839,467,071,908,518,683,272,558,588,011,062,997,575,153,477,958,
222,361,773,916,143,218,235,585,297,302,926,166,652,436,551,201,316,202,622,
527,194,112,171,887,430,999,981,900,651,111,688,712,319,344,505,599,426,674,
326,821,672,082,593,936,147,981,668,376,298,425,587,373,709,888,050,910,486,
108,749,084,288,756,172,541,248,523,064,783,880,769,204,422,343,954,332,211,
351,803,834,855,622,627,113,598,379,998,087,900,793,652,668,995,611,613,136,
723,074,998,356,844,944,712,767,380,169,480,319,768,274,718,741,852,594,536,
501,934,474,682,897,059,709,907,806,982,677,518,989,671,803,848,330,074,106,
140,691,744,517,122,362,256,601,286,738,271,158,782,406,667,966,713,730,356,
765,471,807,724,689,042,467,626,251,816,607,795,405,218,234,175,044,086,234,
535,595,377,731,632,951,714,160,606,791,135,486,110,332,720,369,435,399,870,
484,955,285,384,141,515,554,947,327,068,109,925,599,370,087,951,882,049,381,
992,902,757,690,703,105,979,575,760,389,319,787,146,643,125,354,255,163,028,
925,464,363,923,838,324,823,311,972,081,940,778,962,941,802,183,618,449,190,
206,674,286,846,426,447,189,209,142,278,297,267,419,538,780,736,157,111,325,
535,401,313,710,852,139,170,506,162,366,193,263,763,418,655,221,636,686,819,
835,803,113,761,210,711,885,632,271,167,548,209,747,645,759,200,260,433,853,
443,865,289,275,282,419,397,516,494,497,283,873,081,068,518,530,259,294,753,
923,741,972,120,355,668,329,063,192,665,115,395,780,577,392,742,022,886,259,
657,051,318,880,499,814,704,090,395,865,271,869,967,260,200,379,678,589,149,
726,953,604,498,174,084,106,446,972,073,954,426,878,227,040,259,429,933,084,
358,428,544,024,149,223,330,437,111,002,574,026,317,842,304,642,884,365,759,
961,544,026,304,655,903,623,765,670,049,839,710,533,521,377,621,934,876,928,
242,293,856,618,034,398,987,658,281,105,036,682,973,250,290,408,938,651,305,
153,266,862,624,315,008,616,561,790,761,787,325,650,505,436,129,105,173,043,
516,468,874,505,743,022,123,818,863,451,654,528,566,802,819,145,610,757,783,
673,699,636,747,467,473,990,267,122,225,856,018,209,698,735,249,876,932,360,
071,119,780,951,718,151,593,288,711,506,669,783,805,086,250,719,176,996,480,
700,782,642,251,310,576,552,004,938,384,469,623,444,393,008,520,637,881,773,
426,849,181,761,862,584,875,412,343,774,156,360,689,618,999,729,023,849,811,
683,586,222,548,463,557,993,785,681,634,536,843,556,777,759,416,020,484,382,
820,419,451,815,934,589,602,120,956,117,330,466,721,328,438,459,062,594,051,
671,737,100,293,897,313,890,231,320,597,993,632,325,775,414,778,294,808,328,
565,136,520,486,375,116,990,180,728,248,939,624,206,429,353,342,794,450,320,
221,778,610,947,222,073,885,139,778,702,058,274,145,492,640,329,876,798,869,
502,726,357,089,712,351,015,209,489,219,210,862,505,878,690,800,174,928,610,
715,226,148,913,213,304,419,696,071,125,057,688,750,112,445,532,362,485,169,
941,219,398,621,979,311,070,352,820,410,174,877,568,600,003,560,326,075,412,
427,915,577,248,284,529,327,066,636,335,003,947,352,760,956,985,468,411,742,
576,068,818,418,877,409,027,751,880,869,494,118,693,622,644,214,054,454,806,
839,589,164,838,484,457,880,723,864,820,409,100,583,019,273,529,926,307,009,
787,805,332,196,495,168,884,752,219,122,988,143,868,471,366,204,993,264,647,
184,146,959,726,516,310,419,402,042,565,029,639,753,397,307,235,129,574,981,
026,674,166,891,441,337,424,533,353,141,463,351,195,521,321,705,025,932,455,
091,987,340,306,485,731,413,885,857,434,391,823,593,315,547,035,904,349,709,
063,275,126,847,281,193,102,749,746,033,920,445,858,275,528,489,281,678,580,
166,449,491,601,414,487,721,223,186,682,130,144,706,662,689,895,595,709,067,
708,188,676,293,866,032,605,667,284,271,467,458,400,504,104,801,289,265,647,
021,593,702,177,801,656,932,002,143,340,430,101,299,095,664,350,747,207,854,
896,228,182,672,606,224,071,535,943,997,351,986,335,184,085,770,756,067,387,
023,481,858,041,223,653,476,350,635,574,901,420,643,040,763,914,659,552,741,
694,213,103,563,839,806,321,108,522,552,618,040,600,088,936,889,990,242,930,
967,662,564,353,114,463,782,714,108,248,245,751,857,829,971,833,287,702,588,
717,432,239,552,972,272,118,928,748,889,453,842,335,242,331,651,518,374,705,
195,507,618,829,277,316,538,711,470,318,556,763,111,566,798,820,383,767,256,
392,480,782,245,596,336,842,798,826,309,719,277,233,972,662,460,722,032,370,
425,501,936,557,569,961,425,677,299,342,882,137,364,756,329,513,302,241,891,
525,597,635,803,508,316,596,139,660,747,470,244,296,414,681,500,507,296,938,
551,650,671,266,203,209,746,277,152,834,691,313,319,709,026,600,218,816,172,
732,681,994,640,577,521,000,022,987,361,214,058,937,418,168,695,674,395,908,
254,672,838,091,917,470,374,082,247,431,630,972,242,932,765,703,289,747,642,
277,574,368,976,233,207,458,197,289,969,122,487,371,494,227,582,224,740,522,
325,743,327,362,284,236,366,935,523,289,588,389,454,624,066,520,784,869,386,
961,333,521,825,348,058,157,775,360,484,376,982,924,607,819,864,830,597,801,
017,357,671,125,821,134,858,815,190,713,728,604,459,852,415,148,107,943,627,
704,381,485,386,776,312,579,205,301,047,709,355,406,408,752,809,932,100,070,
134,265,288,267,070,290,276,612,955,849,816,815,561,329,265,038,572,732,248,
289,306,431,306,562,781,752,599,025,803,985,693,079,438,318,621,945,603,756,
888,160,297,457,661,066,451,528,322,589,185,081,407,793,579,682,232,637,234,
039,830,645,393,864,654,958,632,062,483,880,617,510,940,854,287,494,834,445,
573,137,463,649,368,163,534,931,354,698,340,258,864,691,291,365,544,480,936,
842,415,530,422,933,666,872,739,836,677,049,061,100,656,975,588,172,095,126,
937,820,749,351,889,505,621,246,409,352,835,126,857,006,772,826,066,283,928,
311,029,770,593,089,658,803,215,661,626,829,851,524,863,917,880,770,137,331,
064,152,690,485,019,144,927,050,662,136,731,852,675,702,129,707,083,316,483,
287,901,821,968,907,671,735,241,661,477,717,700,188,981,122,752,962,462,415,
072,581,347,635,417,813,822,697,635,696,424,158,846,336,041,882,674,528,514,
235,894,996,476,671,708,466,260,906,288,221,791,288,078,708,289,077,207,278,
542,222,600,023,582,472,931,096,415,188,732,546,154,751,595,129,241,172,579,
906,759,198,322,889,313,999,665,441,458,923,331,141,022,810,790,243,876,741,
889,741,460,282,691,092,930,896,309,661,584,011,091,020,994,749,631,762,972,
479,681,427,763,892,194,052,937,683,827,328,261,352,994,041,889,985,618,672,
562,685,780,013,321,165,897,376,348,373,693,564,207,819,954,923,812,273,667,
494,077,326,000,427,964,828,676,998,811,819,925,256,301,655,148,735,471,966,
112,860,041,339,660,311,078,685,158,838,970,745,579,656,423,380,211,761,561,
527,239,930,949,994,482,662,023,693,523,144,515,811,868,007,643,756,362,344,
936,705,443,421,746,750,397,298,445,899,818,723,843,549,218,216,067,389,666,
284,665,648,193,044,925,062,455,671,129,058,261,805,593,192,392,409,685,220,
500,115,514,532,618,634,146,046,081,792,754,768,693,271,177,202,425,354,173,
390,008,523,300,128,588,896,967,780,916,284,750,164,170,983,946,527,206,489,
540,373,112,738,205,107,876,555,254,642,257,605,684,264,651,138,443,653,480,
232,116,966,638,383,996,962,248,022,083,106,173,055,484,594,780,880,166,249,
127,032,086,833,620,072,989,311,553,268,421,652,610,350,684,717,996,967,184,
544,369,279,930,199,079,741,303,441,134,925,711,730,308,417,892,378,755,545,
422,837,922,629,715,475,133,242,530,464,120,587,438,424,630,631,975,255,827,
100,213,410,843,264,039,219,982,251,908,840,098,616,496,594,330,786,245,348,
253,342,125,456,970,593,221,180,676,708,662,088,626,090,306,492,639,017,025,
478,316,867,921,433,677,459,914,748,451,919,644,317,598,338,069,922,033,007,
927,995,657,959,803,278,057,642,688,653,134,205,886,230,634,360,188,159,014,
508,323,563,781,907,055,722,874,354,395,617,031,782,773,008,660,141,699,913,
379,584,820,623,491,072,919,909,236,059,024,498,836,719,051,624,557,853,980,
711,274,263,742,663,325,414,776,582,801,427,620,674,326,718,722,125,680,183,
498,041,361,191,747,078,875,697,856,705,597,929,520,481,381,825,647,593,483,
302,571,391,628,437,578,969,055,148,082,629,166,595,989,985,238,536,742,023,
818,959,379,520,803,427,466,263,969,768,116,510,081,926,527,644,654,514,823,
969,000,978,073,289,658,839,278,182,935,205,263,451,716,825,798,162,827,405,
623,104,930,274,074,668,252,332,813,173,268,514,008,802,480,844,622,166,996,
903,242,803,391,807,068,475,604,822,430,701,727,142,946,257,153,008,251,001,
163,372,230,435,548,548,910,731,883,148,343,595,891,024,826,942,415,964,430,
416,687,541,252,635,104,105,492,162,223,102,256,775,122,629,493,889,675,005,
173,288,476,728,203,785,457,686,634,165,553,461,464,768,259,712,580,004,586,
946,193,482,358,817,880,997,888,544,967,977,864,841,313,983,337,512,292,435,
622,364,778,686,374,911,896,906,865,287,109,777,110,304,428,747,217,883,578,
194,388,488,410,806,275,743,862,379,844,156,028,102,741,194,074,343,396,941,
490,546,952,541,945,165,748,568,815,230,673,010,515,630,565,701,387,138,933,
663,179,068,560,435,832,570,216,623,739,093,393,877,824,623,736,796,254,120,
551,400,425,765,822,423,681,572,257,268,655,327,440,166,571,883,435,060,743,
296,542,383,094,599,267,398,347,403,892,793,732,708,182,264,698,939,959,512,
613,702,757,388,642,406,087,179,914,582,493,503,867,712,345,775,524,584,760,
797,395,849,724,626,076,415,966,849,595,930,450,874,547,008,543,254,990,929,
285,232,979,554,273,095,490,484,876,761,252,934,706,389,868,967,780,310,499,
166,892,771,607,988,620,179,963,908,064,219,173,598,974,072,672,601,775,936,
696,082,512,413,508,362,488,689,794,345,717,964,133,795,246,005,163,149,648,
213,537,611,576,370,712,735,028,529,615,394,350,414,289,906,638,204,060,292,
173,348,432,819,060,563,620,222,693,155,388,355,119,802,551,031,922,680,701,
048,622,397,632,254,779,313,778,922,220,130,588,590,565,021,364,825,863,882,
679,896,038,213,919,899,774,005,272,710,375,836,106,966,662,160,413,530,893,
732,159,999,405,496,335,830,915,789,197,993,300,831,036,380,781,755,224,498,
826,993,169,803,615,455,068,869,773,141,490,021,819,870,930,717,925,490,176,
604,943,508,990,826,499,855,106,922,848,368,442,466,559,990,479,059,900,129,
480,314,567,999,706,432,907,350,012,284,379,108,343,729,772,418,492,245,807,
196,280,791,342,732,051,215,071,570,591,280,295,952,811,952,515,590,915,073,
531,764,349,111,713,473,118,312,752,537,812,738,021,174,719,146,360,820,778,
050,888,514,782,941,650,696,877,180,741,412,777,540,586,373,952,232,714,931,
418,995,785,466,367,151,964,092,289,644,461,605,246,621,687,619,219,836,577,
762,131,992,754,018,056,504,868,800,358,341,382,788,545,142,391,467,105,401,
733,208,361,853,661,102,045,477,608,379,548,003,202,149,974,755,154,658,015,
169,487,329,099,350,791,316,687,938,786,707,703,523,193,386,923,326,061,129,
992,916,270,597,708,140,672,840,763,531,572,423,740,380,160,642,175,589,491,
516,427,378,728,333,223,924,275,317,265,748,609,830,142,319,072,524,341,471,
706,554,290,213,099,131,647,504,227,955,189,702,709,781,039,087,208,446,159,
979,665,907,201,462,405,091,133,001,398,964,655,179,846,937,337,238,245,930,
599,541,882,600,326,104,396,658,173,557,788,635,234,885,106,494,830,000,265,
485,042,221,311,096,959,359,323,796,838,582,262,220,915,783,565,020,974,866,
394,633,438,945,637,329,008,640,973,038,332,659,117,980,140,246,246,810,035,
934,852,302,160,556,323,636,457,389,034,874,132,847,385,408,444,568,841,413,
012,493,955,760,533,523,127,246,799,751,274,247,264,240,416,951,374,716,635,
085,924,565,029,977,611,418,823,454,411,277,672,021,701,626,559,718,116,401,
450,567,609,933,945,034,407,165,136,518,979,339,424,640,639,059,485,595,464,
594,083,444,897,034,595,072,330,917,952,854,707,448,094,069,202,895,114,123,
771,549,895,883,877,272,663,833,694,649,028,565,457,009,188,997,173,430,231,
278,996,935,744,319,169,483,819,609,785,434,401,604,425,696,013,647,730,746,
691,805,589,737,665,421,355,287,427,428,165,375,836,628,384,965,348,696,871,
741,083,126,771,970,131,931,426,768,353,839,072,984,790,148,587,167,708,403,
428,655,951,668,174,497,027,033,409,393,936,350,767,508,837,512,157,115,224,
271,329,640,840,969,811,808,558,920,979,014,086,698,868,509,359,029,015,163,
033,842,597,439,740,841,370,534,881,344,730,108,407,637,864,978,504,293,814,
876,812,983,985,357,467,622,422,941,835,284,675,850,588,004,165,800,015,783,
435,358,448,648,176,180,364,776,347,414,827,534,794,529,321,170,436,724,479,
309,060,335,947,980,232,987,645,796,188,079,757,586,064,969,700,431,690,786,
388,375,779,608,961,174,230,209,069,096,190,193,574,799,124,147,847,911,180,
679,135,817,506,652,517,796,920,845,817,487,479,196,944,467,179,480,898,723,
060,991,717,557,863,043,167,718,994,351,241,369,833,692,095,190,563,471,210,
793,887,505,381,631,286,517,184,085,892,120,812,979,556,275,374,525,523,503,
168,211,604,536,844,518,438,384,300,342,780,275,043,646,943,640,432,883,986,
952,958,336,541,078,167,983,955,985,232,760,337,167,967,772,133,049,091,429,
194,434,492,202,770,909,319,724,281,472,819,406,433,437,245,249,965,974,351,
100,736,846,046,373,161,260,434,690,824,360,098,925,326,242,279,824,387,913,
213,895,523,345,817,184,521,844,756,498,059,722,704,311,459,247,740,017,738,
929,203,821,582,167,449,952,784,405,400,107,729,561,091,509,670,324,206,794,
393,469,950,177,415,153,367,479,651,810,671,792,618,656,137,628,090,118,935,
526,394,493,253,661,297,609,880,463,967,390,096,150,815,534,543,552,347,151,
963,767,431,924,791,517,403,865,462,621,407,991,504,250,720,197,821,811,186,
240,082,955,508,227,536,189,901,471,802,819,324,348,751,190,524,758,184,106,
945,798,680,601,444,383,810,737,842,640,934,348,248,654,184,677,096,955,915,
390,427,718,983,028,625,787,468,285,373,179,785,221,021,246,775,990,313,721,
574,135,242,099,051,899,319,703,841,410,997,139,462,926,707,510,096,986,675,
675,407,379,664,309,167,835,596,055,449,755,057,610,429,124,723,501,131,846,
664,287,596,242,011,079,753,273,591,548,053,126,069,709,073,820,235,874,429,
162,194,504,600,932,519,704,560,621,433,783,823,801,423,968,618,661,520,692,
803,604,103,480,099,987,053,141,557,713,604,902,381,800,259,107,815,410,233,
653,924,287,671,835,285,804,355,932,274,442,736,015,733,952,884,602,858,872,
605,086,239,356,377,268,547,651,752,211,279,395,961,334,971,201,292,450,952,
065,794,048,769,421,841,786,435,477,553,106,653,815,128,738,894,912,269,902,
418,591,537,870,619,560,271,117,731,969,233,841,998,972,821,123,554,138,104,
523,266,196,680,461,874,593,695,564,483,487,536,163,496,328,133,531,322,435,
299,220,703,122,559,150,525,168,256,527,437,163,738,215,516,452,020,318,688,
708,900,921,349,591,804,121,318,152,087,942,359,352,036,639,636,428,284,240,
305,249,880,674,981,062,154,481,489,351,989,322,385,626,806,845,426,506,022,
891,284,200,183,038,087,937,278,043,897,719,540,211,742,093,766,778,483,567,
045,700,833,414,480,818,742,911,703,931,811,295,010,896,135,496,632,585,386,
916,875,825,785,464,943,908,101,529,480,703,815,246,393,902,005,309,724,617,
868,015,621,444,447,306,357,379,156,108,450,958,717,596,108,522,554,042,644,
890,227,995,837,089,850,098,781,041,080,251,188,245,824,443,932,024,590,754,
757,354,838,587,268,122,240,965,361,685,790,201,888,056,615,774,831,457,768,
703,572,731,441,539,252,822,595,696,553,393,084,967,827,223,045,638,408,868,
957,954,071,486,316,467,633,070,808,020,997,972,142,872,169,775,866,148,093,
048,569,365,022,479,011,744,701,076,254,159,239,739,280,032,413,004,253,806,
988,891,759,826,060,942,928,156,028,883,384,610,433,760,535,207,210,873,337,
348,232,038,153,963,175,917,094,267,580,772,409,040,325,340,062,624,804,688,
714,013,752,811,899,078,054,904,551,920,023,689,654,260,312,022,201,351,107,
948,212,268,906,609,681,468,783,104,861,164,130,236,645,136,277,922,302,157,
545,464,854,378,702,468,512,182,812,868,983,293,761,820,204,752,432,681,950,
056,352,814,685,756,215,838,852,409,654,881,988,670,306,986,531,442,078,624,
936,903,303,638,350,348,504,807,969,982,631,058,747,298,616,852,910,661,416,
550,841,679,664,294,472,184,019,732,257,732,016,277,255,286,433,492,371,930,
679,300,648,324,695,513,475,426,786,009,537,674,639,666,616,438,912,407,911,
307,891,362,968,115,143,609,287,646,517,831,444,591,346,377,521,235,285,413,
075,315,708,588,772,499,618,904,085,607,707,894,551,323,494,669,524,499,095,
868,679,388,284,116,441,077,976,351,836,262,269,294,815,463,601,937,877,575,
203,127,127,374,273,427,960,506,963,562,482,675,539,321,967,998,927,701,889,
474,012,143,138,084,342,066,789,417,499,772,153,660,939,511,381,107,220,313,
401,179,177,284,749,400,325,914,870,023,706,449,348,351,990,212,989,605,711,
912,355,488,374,158,720,397,412,556,933,239,190,343,498,924,381,623,279,991,
555,196,427,522,851,920,856,045,343,217,362,970,250,121,688,369,557,802,003,
581,641,484,723,619,406,589,350,653,440,344,545,760,909,439,503,569,135,959,
951,352,412,765,120,659,343,442,513,383,072,847,898,830,977,471,360,646,447,
113,030,975,563,440,899,139,323,015,230,309,324,710,661,386,499,955,081,518,
066,143,723,158,428,890,926,549,207,516,650,143,116,562,830,148,100,076,596,
049,532,234,501,171,254,323,705,637,405,137,671,504,836,596,908,758,911,484,
504,334,388,614,291,972,995,310,487,020,462,460,015,956,709,252,516,584,721,
575,902,696,946,954,488,024,594,644,066,840,714,177,436,376,630,685,668,690,
812,586,817,149,474,592,412,547,716,188,085,368,680,560,354,446,363,866,565,
716,185,552,395,904,875,948,936,168,054,369,483,038,029,647,522,999,262,087,
825,780,631,688,032,622,413,035,036,500,994,397,237,159,960,908,182,098,997,
569,505,195,188,807,225,440,392,720,262,502,535,801,330,139,391,532,258,183,
251,416,106,310,908,477,630,601,420,296,357,090,224,282,229,284,724,686,243,
877,520,493,518,430,630,028,429,741,622,914,944,240,207,205,035,145,682,147,
620,988,021,112,456,309,769,132,916,383,177,663,842,935,497,902,890,248,748,
683,952,115,721,482,220,689,720,911,352,575,701,530,473,477,193,677,056,915,
958,557,955,288,000,893,877,595,795,551,486,109,045,602,712,032,429,406,138,
421,640,389,156,557,526,177,301,862,850,507,996,984,711,334,605,455,757,131,
153,394,479,232,675,789,489,549,916,743,960,810,566,483,738,918,661,938,398,
919,129,984,316,955,635,593,540,829,743,088,793,133,394,059,702,802,551,332,
198,895,986,223,139,069,113,020,491,262,806,872,873,193,907,434,407,099,973,
054,359,752,315,825,013,091,776,105,410,661,901,134,121,816,972,333,646,673,
656,553,561,241,112,729,151,789,749,874,625,785,351,799,185,165,058,475,711,
418,663,297,572,796,762,701,939,529,233,100,077,378,974,873,380,396,803,051,
851,063,462,588,498,344,502,745,267,722,904,523,368,882,232,908,826,800,001,
898,845,379,576,945,211,492,744,170,619,771,501,819,347,385,063,852,819,094,
016,691,629,580,386,012,591,627,997,607,916,651,758,508,595,547,425,946,127,
885,947,987,621,998,436,181,159,763,668,163,913,022,742,373,887,840,963,879,
558,287,900,279,398,100,926,715,172,668,559,255,016,035,555,133,026,660,413,
868,369,221,436,908,017,908,775,720,578,949,980,405,219,281,704,356,992,870,
449,405,314,972,850,524,869,979,458,123,544,206,870,152,067,156,130,982,995,
546,937,934,458,350,268,361,419,415,272,003,559,809,386,086,207,934,123,198,
271,304,902,370,244,360,831,998,420,176,278,322,227,891,759,170,079,756,127,
014,490,552,133,163,318,358,256,977,355,239,148,098,584,238,795,027,954,034,
670,239,332,935,171,121,417,780,489,694,197,704,484,206,960,124,042,529,483,
989,558,356,132,222,176,199,923,685,312,078,629,505,497,166,150,503,019,617,
590,818,062,270,031,178,405,073,752,861,750,974,515,049,271,400,545,394,929,
178,275,424,608,909,844,606,544,664,798,722,251,356,713,264,310,836,929,809,
462,699,334,003,021,444,048,557,299,112,370,121,373,353,156,975,574,614,226,
392,295,115,376,836,977,100,222,462,129,016,524,689,571,048,330,056,309,957,
396,552,249,542,616,598,745,630,580,192,999,490,860,499,424,431,474,277,232,
281,714,532,908,895,084,536,376,270,213,953,872,499,039,949,804,531,006,737,
150,391,116,134,885,687,962,682,120,735,012,421,603,202,719,845,293,177,615,
532,766,427,496,468,508,555,595,967,920,689,203,932,655,215,253,868,865,431,
249,003,115,923,965,836,451,862,823,559,722,968,083,042,107,632,178,227,330,
259,854,562,919,069,375,399,277,612,466,490,919,481,705,278,838,848,377,414,
925,809,118,545,506,945,885,619,542,881,226,732,340,612,355,140,814,418,056,
827,052,548,365,389,057,113,373,619,476,627,711,911,369,901,141,175,190,688,
787,702,104,554,033,414,974,818,855,269,239,429,341,810,129,623,134,594,554,
286,928,647,187,209,629,947,655,193,342,160,373,594,001,272,071,649,801,772,
017,930,339,738,611,645,437,832,578,324,265,293,402,103,852,027,886,586,997,
954,617,758,052,507,197,617,032,372,756,702,810,505,531,129,359,988,439,757,
712,399,594,631,028,599,974,258,403,913,884,608,303,447,578,269,227,341,499,
550,272,735,690,654,674,671,758,264,737,978,039,120,481,000,551,252,585,921,
318,073,260,310,889,421,300,412,423,948,560,490,323,773,282,635,847,159,777,
360,528,984,582,077,263,109,743,354,004,599,900,375,426,449,863,004,192,493,
776,526,243,649,384,980,363,798,892,113,156,910,304,563,967,997,238,718,165,
418,348,366,046,689,259,765,169,258,329,337,695,653,265,551,065,543,720,513,
523,931,459,135,119,770,228,608,980,249,775,472,232,551,875,666,144,975,101,
297,966,500,082,174,464,791,574,120,904,387,744,637,411,069,253,504,962,687,
199,962,799,503,717,441,204,406,021,846,132,498,538,077,956,280,672,987,196,
151,664,903,055,285,022,128,586,258,227,448,432,483,560,574,738,891,911,397,
994,374,650,168,265,851,518,637,351,155,811,944,507,632,453,943,659,081,427,
350,334,141,778,122,152,603,796,402,300,923,666,841,399,871,054,999,819,577,
154,186,740,490,559,438,735,777,580,877,722,799,875,023,453,176,276,084,688,
366,271,520,063,608,690,436,354,657,186,360,229,787,815,670,723,937,967,421,
916,196,143,088,654,222,694,171,385,708,157,244,514,045,958,418,172,815,474,
431,173,981,982,262,970,717,650,339,188,131,790,020,012,041,132,734,290,714,
280,412,851,540,308,304,985,769,799,635,906,126,063,457,127,121,085,108,106,
303,308,556,861,636,192,766,938,532,167,074,014,287,292,910,362,876,149,049,
718,478,922,681,111,316,552,922,504,252,677,280,314,340,539,067,972,041,362,
661,762,387,408,483,905,897,322,789,430,175,826,790,533,030,248,645,213,594,
736,816,691,847,112,908,414,175,076,422,694,054,126,381,634,932,723,277,458,
613,479,879,635,089,489,690,235,749,958,142,881,308,795,274,359,321,750,037,
851,047,675,732,814,796,398,767,911,878,958,404,975,499,177,320,414,285,346,
322,446,050,896,558,785,205,132,215,685,890,146,492,116,027,614,630,400,011,
799,543,850,130,313,201,253,280,745,297,227,080,895,576,608,069,987,176,474,
778,773,242,068,281,953,972,436,908,128,740,967,215,890,754,010,088,537,241,
095,963,247,015,564,314,657,460,209,399,926,398,995,984,020,539,532,131,311,
917,463,506,352,905,674,824,849,508,868,166,964,541,262,710,164,929,903,511,
111,001,433,110,273,529,968,765,434,910,950,068,133,657,434,808,633,294,797,
673,122,810,612,887,319,159,456,658,506,022,428,155,112,801,079,205,907,614,
353,900,515,794,804,984,301,770,013,584,654,788,471,597,006,913,582,021,435,
572,952,923,187,983,660,197,265,361,393,712,729,498,722,265,555,061,869,339,
293,134,900,606,982,200,370,706,356,331,088,339,590,150,185,030,259,541,306,
786,718,305,022,272,343,566,633,816,283,358,244,780,392,865,439,665,435,849,
440,275,636,589,951,686,550,283,721,131,671,653,401,297,636,709,213,827,919,
128,487,230,116,839,068,111,086,888,847,887,457,770,438,841,769,982,491,629,
905,602,230,791,679,785,257,722,947,375,598,079,897,790,927,875,435,329,900,
078,551,709,855,274,302,590,970,912,422,344,048,978,121,853,428,213,000,088,
767,978,239,570,575,431,564,506,426,560,307,795,967,380,566,957,359,890,416,
778,874,180,089,103,511,878,078,314,175,208,159,248,043,670,559,249,180,871,
027,977,059,102,412,298,552,539,460,685,014,631,121,880,865,618,915,614,889,
006,196,387,252,609,903,581,457,357,774,932,961,889,205,728,838,506,282,727,
008,460,820,308,659,377,554,636,527,113,812,745,273,954,989,215,812,249,991,
108,538,527,916,936,819,527,184,294,362,728,642,584,226,936,222,026,231,897,
464,121,780,443,496,794,301,524,642,213,043,152,922,129,339,642,021,788,952,
735,081,297,367,678,886,430,842,140,289,355,953,609,518,238,706,373,578,913,
741,745,941,559,830,203,842,319,764,439,261,073,071,210,430,502,094,274,147,
672,061,163,460,305,463,129,113,293,787,974,727,244,260,616,180,381,335,993,
376,542,366,819,929,336,625,260,916,624,241,508,607,523,252,720,084,747,707,
450,150,724,111,546,457,828,262,577,634,771,472,522,603,704,541,780,620,803,
375,401,068,415,554,028,502,102,806,173,399,615,658,084,666,280,657,025,162,
872,049,069,716,287,965,637,502,954,707,303,728,013,234,554,862,675,145,585,
265,143,706,948,767,092,076,604,636,330,577,213,644,804,577,946,204,124,474,
720,840,977,466,080,691,175,562,834,172,922,618,803,896,254,246,185,844,424,
660,089,798,871,043,233,195,607,658,326,541,739,928,572,757,394,299,747,226,
009,001,828,783,446,400,129,420,127,909,054,197,167,891,472,558,708,151,498,
054,870,592,372,756,747,342,574,904,210,272,608,762,060,907,007,599,325,981,
661,019,766,487,331,730,343,950,965,049,008,377,236,912,440,162,660,973,952,
703,742,145,594,090,999,679,647,041,975,602,642,762,711,499,630,426,045,888,
625,467,341,776,668,792,577,881,836,838,306,198,961,280,935,291,649,853,889,
954,805,029,895,631,128,137,637,169,284,362,443,904,517,175,919,073,493,543,
142,539,992,396,050,450,498,014,618,949,879,497,159,501,229,661,985,349,833,
179,061,197,405,485,034,097,463,310,093,847,791,549,578,151,649,246,955,871,
960,426,952,840,060,568,760,823,516,665,083,161,443,758,439,132,651,528,970,
376,817,065,044,679,498,182,735,346,110,675,423,486,096,554,435,648,880,002,
032,679,574,349,921,569,889,858,941,825,592,337,684,742,490,855,907,991,073,
193,153,150,532,368,926,574,288,177,624,749,923,693,389,273,715,760,985,658,
561,440,403,029,533,509,427,438,553,871,708,233,687,212,209,793,328,405,901,
803,118,108,698,192,902,846,147,157,475,856,241,239,571,483,881,063,578,821,
164,477,370,918,977,517,825,813,012,236,483,389,653,299,685,890,940,252,096,
210,166,835,093,541,567,398,274,507,844,023,487,000,225,963,198,721,125,044,
770,421,833,117,477,182,636,562,552,026,058,536,068,117,648,702,131,761,486,
952,517,957,794,942,985,325,530,722,814,360,111,301,909,691,010,866,166,028,
331,071,087,044,108,242,362,383,967,155,486,890,709,605,163,511,395,373,940,
657,068,253,640,120,640,299,612,022,040,503,695,020,150,637,880,336,986,861,
689,138,532,728,420,903,134,076,161,943,570,301,376,286,142,540,210,288,397,
414,162,148,138,371,877,029,917,679,950,030,398,859,697,212,493,926,868,585,
874,113,143,807,630,752,195,043,470,553,089,667,906,192,712,421,949,524,044,
837,882,245,257,957,039,464,382,091,664,783,763,396,205,749,478,453,566,448,
255,610,827,695,949,317,361,496,297,114,934,011,473,943,475,063,012,888,532,
447,536,440,138,213,310,769,730,736,640,253,661,762,488,695,946,801,043,000,
755,097,359,061,900,345,715,525,819,174,954,570,874,703,482,892,692,713,385,
491,168,917,391,125,211,577,947,152,710,556,477,701,511,134,065,313,962,079,
689,293,314,395,004,503,739,028,898,321,130,546,969,942,405,513,893,210,604,
367,866,693,641,956,032,833,871,752,131,531,027,725,363,693,808,726,192,955,
867,953,445,451,123,796,580,135,775,513,512,348,619,778,927,728,363,520,348,
109,323,577,917,296,050,169,451,239,085,352,152,770,869,696,346,489,528,850,
250,854,322,145,738,199,881,776,646,720,062,647,016,916,937,549,198,683,158,
691,201,165,641,325,024,563,250,154,985,788,791,822,591,415,785,903,684,494,
017,725,453,062,248,339,319,730,355,083,277,452,505,356,392,321,015,645,373,
801,414,082,171,921,011,769,986,740,516,378,874,332,445,155,455,187,223,057,
917,309,753,487,109,905,428,933,283,095,090,033,932,123,130,148,427,196,097,
454,237,548,312,861,795,812,735,096,820,013,522,447,055,535,581,814,269,658,
934,983,481,355,070,175,698,550,371,917,425,286,476,605,904,232,939,938,814,
834,445,583,089,931,806,178,428,869,582,623,769,034,051,219,080,221,255,058,
480,893,928,572,854,776,927,608,442,423,011,272,996,238,861,639,209,948,838,
586,607,181,336,282,416,274,114,640,867,518,207,715,121,170,392,388,844,718,
803,635,779,335,083,391,724,551,849,076,504,158,619,060,869,127,402,110,203,
081,709,215,016,994,639,138,557,052,370,707,555,362,841,066,868,473,142,103,
931,635,742,581,964,683,040,363,157,719,971,927,698,088,835,667,333,067,951,
574,989,833,092,322,328,652,879,249,233,797,734,193,738,158,093,722,017,524,
879,043,683,089,167,138,526,079,017,742,639,065,062,153,564,325,420,649,949,
254,747,028,707,858,152,689,224,581,268,284,869,853,962,254,081,110,913,759,
037,248,445,916,003,139,553,996,095,196,445,077,890,278,812,202,027,163,727,
275,026,818,318,563,798,863,779,820,386,506,444,763,106,618,127,277,792,407,
462,274,313,884,347,372,857,835,884,495,524,024,036,309,781,005,856,317,902,
972,191,318,571,189,786,862,333,572,485,607,787,525,850,960,944,952,654,103,
007,383,826,145,552,758,490,345,355,903,726,343,668,421,997,299,792,385,877,
487,993,243,545,230,382,077,219,223,737,320,202,885,572,116,953,250,394,756,
935,448,162,192,205,889,096,133,633,081,673,216,264,150,973,043,626,630,431,
800,802,087,992,661,415,945,029,792,086,321,837,954,576,047,512,366,236,812,
907,076,089,713,042,189,299,164,497,383,541,095,851,177,397,149,414,640,894,
013,139,006,055,170,004,039,623,211,923,605,301,421,036,622,133,682,812,377,
808,905,238,174,167,484,968,287,231,303,546,495,625,346,736,053,367,728,072,
822,458,970,878,373,623,843,265,490,656,713,818,534,692,626,864,356,457,264,
058,520,692,692,990,597,639,555,344,855,690,485,741,970,516,011,631,408,503,
704,228,859,570,099,403,579,134,041,214,334,993,429,218,832,123,823,897,570,
419,310,216,936,889,736,884,845,876,808,588,553,706,889,243,607,341,182,954,
127,743,130,513,287,093,758,261,427,612,006,971,935,431,129,038,327,812,884,
070,464,344,935,029,583,419,833,605,107,866,434,918,643,724,988,201,708,144,
747,210,873,652,386,682,336,553,186,974,413,548,603,982,415,922,315,900,320,
317,616,519,988,788,172,695,933,343,901,273,162,230,391,137,812,634,266,403,
197,230,563,588,224,579,672,238,658,207,350,808,312,971,130,357,380,367,671,
472,016,064,783,669,296,729,953,100,706,541,639,745,214,657,925,151,359,007,
856,820,007,550,632,392,330,867,380,363,883,518,311,392,777,031,044,243,731,
433,105,153,890,347,126,420,588,609,198,742,749,380,697,766,198,508,936,644,
891,296,182,906,774,496,053,996,979,849,533,780,344,628,259,511,316,666,810,
040,437,476,268,257,641,940,807,482,948,195,351,803,541,523,937,387,870,386,
559,134,374,981,324,684,731,679,987,474,655,453,455,753,761,136,556,316,791,
364,114,011,254,641,161,697,882,973,973,006,395,337,170,237,894,726,007,516,
339,765,408,385,868,518,201,437,059,163,953,770,156,119,349,582,801,088,740,
173,466,889,448,741,482,350,423,013,854,084,621,180,855,882,943,382,868,185,
674,835,166,539,650,841,361,941,143,663,700,112,917,409,371,748,265,370,591,
139,061,854,928,447,951,392,481,067,667,920,686,599,448,669,623,162,603,660,
836,159,188,187,853,596,615,922,382,888,533,437,789,850,665,036,208,786,894,
759,367,433,155,173,750,937,260,073,392,743,521,415,134,012,365,549,873,679,
488,273,658,902,710,536,134,000,059,487,586,812,526,784,843,630,704,112,388,
598,727,664,521,782,697,781,305,227,769,405,963,385,982,634,693,372,317,207,
303,479,846,887,191,063,093,194,114,093,795,470,988,476,402,496,245,396,859,
750,116,966,928,018,095,292,399,741,214,350,265,179,367,459,171,365,017,391,
537,565,446,233,644,021,868,826,889,791,575,201,040,970,515,869,709,356,281,
386,838,919,108,110,715,264,700,172,592,731,231,464,077,749,604,645,200,413,
111,070,873,914,676,446,311,957,042,783,618,224,360,763,418,580,702,450,211,
705,243,352,571,387,498,451,748,051,529,913,406,946,722,704,159,307,358,813,
487,487,229,358,953,650,172,791,070,637,749,381,038,590,931,211,872,918,668,
597,192,200,930,543,635,220,624,873,674,137,725,718,433,632,136,311,367,785,
348,173,183,622,430,545,814,336,897,538,732,287,046,256,567,455,816,885,990,
898,926,641,280,335,365,755,250,265,412,981,916,516,059,196,241,279,680,170,
572,398,335,769,512,943,337,761,013,871,952,870,961,898,531,050,852,284,291,
200,006,354,040,824,426,595,353,808,559,947,176,982,659,046,154,997,124,596,
348,131,043,231,541,249,070,372,344,990,260,850,537,239,864,805,308,544,877,
974,824,338,345,323,759,629,237,282,230,271,601,059,677,993,171,231,725,516,
351,312,378,339,607,984,082,876,786,398,010,471,186,599,306,568,871,400,789,
410,847,837,366,530,058,103,308,463,561,365,599,073,614,755,208,155,581,872,
266,687,128,880,388,120,488,041,668,940,047,660,976,305,566,654,530,348,115,
685,542,287,248,667,352,209,323,860,658,595,894,192,043,721,037,943,932,513,
129,700,574,913,097,927,217,674,256,235,861,429,812,960,323,826,193,069,422,
751,524,704,840,741,192,633,920,657,001,927,671,225,534,638,056,220,664,178,
893,447,125,152,540,152,529,245,642,207,547,899,721,792,981,351,168,389,007,
719,440,318,321,507,102,005,936,825,011,891,043,178,698,319,055,996,533,810,
470,467,374,625,125,774,784,658,370,884,799,840,978,872,297,781,803,952,987,
020,126,450,626,418,348,784,012,366,195,263,006,341,186,301,222,854,182,667,
594,282,025,928,362,582,827,050,782,151,178,050,445,808,548,861,373,217,499,
766,705,552,887,417,305,106,872,186,843,920,192,804,329,001,654,162,015,105,
367,302,578,082,878,594,804,606,599,221,083,574,535,756,969,480,884,203,512,
602,886,661,154,251,697,598,069,340,537,513,704,909,266,438,813,607,199,888,
882,972,597,516,766,682,090,119,945,934,733,650,911,607,052,222,249,887,087,
168,098,184,464,496,175,908,424,598,064,541,445,943,744,095,576,076,951,946,
648,460,758,503,722,387,650,537,236,348,724,905,689,632,604,618,957,251,766,
146,618,477,755,362,169,682,830,559,216,101,556,512,836,542,602,305,077,269,
917,381,012,371,076,271,906,084,545,543,304,456,533,159,371,486,679,161,294,
066,211,979,017,301,899,226,095,211,054,317,463,942,844,339,786,183,481,289,
731,801,742,963,251,416,577,453,186,556,942,669,897,956,720,421,850,733,425,
871,731,699,286,710,861,339,097,131,173,514,012,403,234,514,880,950,255,852,
416,464,553,366,173,329,872,786,001,499,856,111,503,053,107,351,055,837,784,
896,462,208,372,838,116,454,913,360,182,372,862,133,678,497,232,477,198,528,
149,132,828,193,584,474,860,481,265,592,818,415,533,565,139,969,961,402,533,
200,860,652,170,871,456,354,598,407,858,764,149,321,130,178,440,948,821,737,
578,212,416,111,336,008,951,957,311,248,925,826,175,918,461,576,933,128,730,
040,689,260,666,273,588,109,726,859,821,834,304,665,599,560,503,893,841,889,
217,231,336,202,891,776,778,963,394,614,813,503,384,795,412,543,952,238,532,
105,330,109,771,900,277,214,204,318,457,941,694,146,885,945,547,823,696,731,
144,643,217,569,990,312,312,925,038,734,808,264,356,001,777,115,474,835,406,
267,290,166,395,404,870,403,598,707,483,935,693,905,746,299,882,677,195,294,
570,334,263,151,077,636,911,303,521,705,773,575,229,602,305,529,814,766,812,
954,855,240,022,633,156,136,468,624,170,791,918,463,693,019,339,019,104,531,
380,470,573,473,056,602,399,737,462,648,463,509,659,377,790,680,436,513,390,
650,476,534,427,762,810,349,002,990,588,845,865,340,191,246,964,610,778,779,
622,392,402,999,199,742,566,399,337,749,464,439,830,432,135,775,171,838,910,
805,489,532,274,333,719,041,454,230,104,098,485,656,763,792,431,889,607,464,
868,285,467,160,256,369,740,609,583,961,837,194,655,416,389,684,756,052,738,
206,879,845,736,779,501,131,042,601,920,932,162,438,649,985,418,718,775,904,
535,864,778,127,243,105,844,440,154,411,189,997,532,273,321,604,402,174,452,
339,036,053,115,582,337,124,933,309,313,651,295,410,795,968,181,413,360,766,
037,429,182,028,028,402,628,350,520,544,018,650,628,254,356,463,835,547,829,
494,269,611,797,120,866,548,821,500,048,580,886,984,324,185,829,130,959,593,
367,159,899,609,704,384,312,666,041,796,726,933,741,718,281,537,672,959,996,
339,304,719,715,994,569,431,554,199,015,142,751,349,919,240,235,341,254,164,
398,265,822,236,588,829,165,882,693,207,977,476,566,479,447,325,249,968,152,
195,049,152,728,441,825,636,890,584,595,155,045,595,849,303,519,187,572,198,
522,748,940,492,760,834,407,328,510,285,352,526,295,112,389,763,548,171,549,
450,620,591,506,016,185,150,262,091,626,157,470,649,850,345,842,449,000,079,
760,658,128,965,092,239,349,217,080,865,392,323,041,018,006,780,989,704,498,
692,510,632,463,918,309,570,958,797,683,656,406,021,613,511,022,014,476,522,
944,401,006,083,124,372,665,547,199,030,878,205,836,267,688,131,163,472,444,
724,713,191,938,404,037,404,232,575,136,334,956,584,546,808,670,451,803,868,
410,116,816,960,383,613,244,381,531,644,650,564,786,670,525,410,158,924,714,
428,442,331,048,090,178,041,349,003,527,268,516,449,009,957,439,834,553,464,
999,673,216,235,168,690,463,077,291,842,973,281,188,109,849,861,541,077,935,
856,519,598,852,089,892,584,775,974,393,411,591,791,364,978,949,098,135,209,
590,060,757,759,739,272,161,921,059,715,761,775,330,496,730,588,754,970,087,
255,060,934,227,916,055,862,755,337,348,521,411,302,712,811,986,432,975,577,
785,602,067,643,824,285,968,758,981,453,374,133,728,411,890,150,209,437,376,
340,946,218,118,374,481,851,086,559,966,079,132,597,344,598,650,200,982,244,
316,064,542,710,621,412,651,405,574,770,932,454,374,046,590,685,874,874,482,
585,858,503,241,832,658,660,564,323,411,071,860,569,618,963,968,032,899,302,
408,157,026,800,812,961,487,660,071,910,490,793,752,578,626,478,095,471,131,
101,975,485,180,742,536,289,549,537,691,296,329,252,284,011,223,809,148,038,
253,750,235,452,928,447,117,454,233,941,590,408,562,387,547,070,155,711,214,
254,003,277,914,348,518,095,701,367,361,482,390,701,439,303,220,664,422,216,
535,500,100,174,860,566,894,334,103,677,783,931,418,040,403,063,171,028,165,
196,181,596,174,290,404,737,109,208,367,680,789,696,379,556,803,731,112,154,
390,074,757,702,918,130,139,240,803,676,794,427,841,750,188,426,058,980,507,
206,267,036,794,312,795,110,738,400,646,903,211,335,912,175,636,929,820,874,
589,636,113,511,613,877,271,681,875,048,332,730,681,583,898,007,027,737,925,
225,183,930,774,052,221,837,183,858,620,199,068,561,689,654,968,562,833,073,
008,666,290,275,603,994,060,405,912,779,551,423,548,191,702,746,591,181,997,
273,493,481,278,666,864,314,772,140,734,069,649,161,640,365,705,058,103,539,
903,107,391,230,600,894,492,998,189,963,876,895,166,870,484,239,131,302,163,
773,251,689,566,295,403,871,297,049,259,999,912,927,021,909,050,854,781,846,
407,614,530,112,679,994,060,460,677,638,404,729,772,436,191,556,603,578,724,
530,962,701,687,316,419,219,208,262,019,592,536,457,099,813,599,329,934,159,
984,600,733,044,289,484,071,620,532,908,432,700,649,804,483,323,598,134,166,
964,033,269,491,581,516,181,889,121,154,608,419,656,030,365,864,147,777,733,
526,406,685,313,372,142,068,409,491,922,872,826,940,258,954,224,685,659,290,
891,409,862,679,839,274,005,586,080,371,539,789,452,818,860,431,520,134,068,
472,734,141,244,679,392,921,211,474,444,445,887,176,031,288,422,416,747,901,
334,358,844,307,957,225,957,873,907,587,015,872,723,685,055,537,332,988,513,
114,554,280,460,193,326,266,728,537,906,252,495,467,524,279,961,085,601,144,
299,988,290,133,366,505,280,065,198,169,626,766,902,036,818,422,380,426,795,
816,084,102,890,863,275,407,072,209,784,969,963,584,644,311,434,084,666,857,
419,036,392,284,058,209,466,797,501,399,648,407,204,866,522,338,281,115,986,
917,721,663,323,544,397,460,849,594,002,720,588,756,193,300,256,152,567,693,
188,670,985,360,180,672,116,698,150,157,203,501,977,146,606,132,515,954,140,
975,297,064,589,687,047,146,842,308,584,607,356,940,227,889,362,804,618,076,
130,495,312,144,334,073,374,826,814,297,474,629,204,142,925,223,928,616,623,
845,285,069,506,929,294,996,423,502,160,531,949,768,724,120,495,944,872,191,
458,413,591,711,498,347,435,793,678,266,955,761,618,463,494,343,022,894,292,
755,585,971,050,297,389,168,021,059,964,646,081,337,903,684,834,025,430,680,
478,997,208,279,144,859,505,360,749,435,333,086,879,838,728,437,747,018,570,
001,199,945,019,727,817,401,592,963,640,035,343,156,479,907,202,801,025,661,
225,821,667,041,129,843,372,761,710,862,784,845,957,151,753,033,363,211,448,
688,165,829,488,879,064,170,299,224,265,472,261,005,405,946,478,235,318,456,
156,602,662,010,843,679,576,479,504,020,465,944,702,371,507,260,553,177,204,
466,529,685,362,975,620,540,503,756,383,204,145,306,664,255,109,277,238,018,
798,617,816,806,833,810,411,688,336,118,875,585,108,172,688,169,206,682,028,
536,370,080,593,435,288,836,129,159,436,276,456,615,374,901,185,690,329,125,
617,896,437,157,763,949,076,537,392,127,006,883,464,638,864,881,103,690,528,
345,909,949,007,297,478,416,873,506,189,476,096,291,433,226,425,023,673,150,
771,916,278,971,394,851,853,613,767,493,382,446,460,246,665,925,102,817,982,
185,727,262,388,693,611,610,600,714,276,747,329,110,866,182,367,801,228,718,
910,659,015,905,541,511,384,182,005,979,351,858,102,496,674,715,465,972,606,
702,850,157,664,047,756,594,966,136,047,179,777,394,559,620,354,267,326,554,
213,316,073,798,717,142,899,178,103,734,464,779,464,208,860,604,768,107,100,
152,815,458,567,306,911,126,607,674,824,250,984,023,152,639,480,166,074,290,
832,430,742,722,056,490,170,531,415,434,071,428,259,366,364,366,785,863,148,
739,897,111,754,958,698,160,440,588,217,844,575,155,040,941,579,657,554,430,
073,483,811,662,243,841,052,324,315,418,633,455,616,569,612,346,517,422,596,
983,315,090,413,576,671,657,082,458,311,022,692,270,080,374,998,777,614,127,
010,468,386,601,313,243,045,216,402,803,522,256,373,527,551,209,279,917,770,
914,545,489,244,284,815,703,766,042,267,727,441,604,786,301,518,555,942,430,
119,092,619,067,600,781,328,289,607,167,800,681,644,974,499,810,710,214,719,
747,628,517,903,887,641,267,086,822,287,289,517,109,589,000,054,192,050,026,
553,875,473,544,503,979,315,927,639,058,984,712,341,880,611,150,985,841,017,
365,660,521,819,932,937,487,647,121,973,542,653,298,380,281,834,873,768,614,
395,926,645,947,700,837,918,043,079,151,919,984,184,009,743,121,522,555,949,
135,687,133,072,008,371,316,805,625,199,147,060,605,125,953,859,350,154,446,
154,283,124,812,424,951,304,477,552,419,039,977,987,621,844,827,052,072,176,
133,913,011,058,626,789,060,043,381,585,500,277,028,970,315,293,788,693,384,
544,125,915,339,203,057,556,012,011,417,133,586,837,703,767,160,805,428,408,
667,485,289,232,921,079,122,612,026,195,811,356,713,495,929,343,340,053,554,
041,843,668,173,569,314,656,112,900,552,687,891,408,918,045,891,765,027,299,
124,209,617,293,611,833,281,636,443,980,500,503,216,621,966,807,807,111,511,
546,736,908,661,970,517,325,237,876,911,840,311,574,070,117,589,260,801,300,
455,717,344,813,569,230,881,490,116,153,289,350,316,129,240,885,569,307,278,
357,090,743,552,953,359,290,479,563,285,475,747,553,924,515,757,425,642,124,
007,349,467,870,304,406,480,185,910,202,869,895,266,985,473,763,651,589,341,
850,171,047,908,123,189,612,997,148,889,917,783,313,469,265,088,157,101,449,
901,386,076,688,167,309,564,445,571,814,387,324,888,422,727,729,938,142,921,
116,170,902,925,093,529,742,753,324,078,610,373,266,044,412,269,693,521,998,
225,617,626,636,681,619,666,440,709,678,919,450,386,849,950,817,594,442,858,
974,160,820,671,508,089,702,493,070,342,641,121,166,667,398,118,469,392,139,
502,859,287,387,109,089,482,985,278,199,609,805,873,987,940,174,720,577,402,
104,680,121,072,289,468,572,613,530,985,394,242,534,950,301,750,752,198,355,
162,667,123,672,013,894,414,947,284,810,193,151,397,266,639,460,871,783,963,
775,016,489,170,488,552,144,100,831,536,404,765,590,895,693,280,661,060,305,
283,971,196,485,756,264,784,390,423,086,644,957,551,971,124,391,665,377,231,
845,635,098,394,732,678,378,920,512,198,821,427,551,494,224,862,585,309,578,
742,962,975,947,951,902,265,846,295,754,971,883,878,912,773,440,889,332,301,
618,408,488,875,877,595,764,773,067,643,384,391,543,099,707,428,304,782,406,
282,690,433,713,120,533,250,902,156,225,099,416,461,816,715,679,672,237,978,
435,613,063,544,337,927,181,534,215,027,123,256,426,043,007,376,120,566,527,
431,428,709,241,006,287,628,488,100,807,767,963,117,215,977,504,553,114,219,
517,410,978,747,157,187,496,342,698,931,085,911,369,658,901,233,928,799,513,
336,969,641,700,221,865,358,331,942,339,576,293,944,370,991,534,543,203,935,
290,772,812,604,285,381,330,831,811,567,751,858,298,132,478,036,976,077,979,
748,620,304,706,722,772,295,160,656,049,802,094,584,921,481,190,390,066,406,
499,345,358,155,492,990,270,102,453,500,943,180,379,067,434,806,364,091,611,
968,779,211,679,260,933,564,551,870,600,005,447,819,160,138,881,865,777,917,
879,121,817,253,702,264,622,523,723,681,553,201,333,018,286,829,832,479,113,
866,540,007,467,021,290,383,524,181,464,850,973,503,711,817,044,063,123,591,
785,338,893,209,720,062,790,394,044,857,196,283,269,635,923,482,805,105,367,
255,773,654,802,635,218,301,106,892,094,453,332,502,916,175,752,163,590,870,
320,829,639,518,867,302,100,427,507,569,782,078,565,382,311,857,597,380,810,
136,503,021,260,463,031,014,472,146,592,307,741,775,155,222,599,249,304,921,
056,836,761,253,347,674,568,829,277,632,494,418,758,164,178,120,726,351,391,
653,468,872,126,605,513,263,734,018,887,849,362,889,692,532,565,870,435,478,
207,738,981,176,856,026,412,082,977,665,757,602,416,477,797,552,847,370,489,
949,338,085,243,875,891,831,648,852,916,103,224,089,277,138,519,219,544,138,
341,946,611,419,723,219,719,111,272,420,304,778,033,395,319,123,095,851,908,
374,972,021,814,392,547,467,568,108,312,313,657,764,524,737,537,382,450,938,
716,952,249,193,308,218,894,563,385,557,154,949,699,570,694,452,508,377,184,
413,895,221,370,418,677,175,271,928,651,085,376,016,477,460,154,476,268,642,
863,905,457,984,418,392,649,235,038,530,245,955,210,277,173,192,167,729,412,
635,485,607,939,807,145,314,044,779,850,356,951,535,685,176,373,083,866,408,
257,690,696,364,454,279,144,224,397,580,905,849,755,588,620,038,303,625,235,
341,451,192,964,138,780,189,459,094,285,315,147,115,917,709,382,150,394,590,
515,971,393,291,552,098,543,133,339,766,377,779,120,522,846,601,560,017,284,
984,594,273,504,147,660,868,201,797,487,054,047,551,487,479,204,969,625,817,
896,522,691,441,406,008,310,211,980,113,792,342,614,863,900,447,646,647,831,
198,405,451,384,134,725,044,874,367,023,028,638,950,946,110,497,137,055,878,
677,186,285,139,149,733,996,413,080,044,712,531,971,336,728,631,174,160,306,
023,019,371,014,986,130,738,927,069,227,398,176,989,762,164,274,990,816,102,
842,054,069,551,318,525,130,980,092,960,348,146,424,056,288,393,958,441,837,
371,628,353,111,513,485,909,469,264,799,705,010,081,067,519,129,716,334,725,
787,503,529,835,815,825,697,038,261,297,678,527,458,310,018,538,640,152,326,
244,501,481,951,724,945,038,128,170,022,699,956,551,757,709,403,117,684,123,
106,762,039,887,454,873,323,782,839,309,894,390,606,116,923,037,502,176,462,
484,961,886,952,388,717,748,069,740,561,865,319,320,648,558,468,680,391,397,
006,404,300,279,286,367,679,100,072,426,890,476,913,018,561,139,890,270,446,
520,502,682,174,084,931,886,531,481,053,064,165,982,950,185,891,979,235,366,
238,861,216,550,084,714,582,542,982,572,975,749,753,977,568,913,361,260,860,
665,569,358,144,040,537,732,437,477,736,699,825,287,463,400,709,543,081,832,
980,311,207,137,470,168,767,725,405,341,496,041,445,242,636,408,168,719,765,
635,057,363,876,256,898,693,167,411,890,735,663,254,932,286,939,069,961,445,
656,579,356,897,075,895,223,571,534,547,730,908,827,616,460,024,379,672,836,
706,103,928,713,434,746,390,430,269,052,036,421,973,954,765,080,282,318,054,
180,865,262,116,751,130,946,088,029,896,805,867,229,092,816,168,262,493,425,
684,965,517,311,376,490,373,985,438,451,336,197,297,697,350,980,320,724,350,
929,366,652,581,420,750,156,737,262,971,765,186,354,720,821,972,298,699,273,
489,676,018,670,952,262,932,002,850,379,296,167,256,595,735,904,715,350,043,
042,473,872,972,020,344,272,290,744,197,557,961,290,059,531,699,062,103,140,
854,140,385,831,310,869,692,716,704,801,191,229,732,385,953,507,800,544,287,
005,637,930,444,086,369,411,617,855,392,153,903,366,896,315,986,653,598,998,
216,647,927,636,583,918,908,508,623,127,583,501,669,622,089,334,019,496,327,
228,601,988,503,348,401,305,894,887,243,161,301,722,359,618,814,716,080,326,
555,133,516,036,950,114,158,156,538,090,056,483,060,491,911,148,504,536,028,
537,857,789,524,113,470,397,272,920,128,380,374,365,700,382,412,384,571,838,
288,000,372,188,536,745,749,427,987,126,882,682,156,052,772,219,512,659,181,
870,213,178,811,603,019,494,848,306,001,083,626,155,887,008,163,792,098,418,
602,329,092,622,050,287,874,044,629,198,563,060,495,747,742,232,811,405,767,
041,035,748,971,713,995,264,965,523,768,618,852,572,469,158,743,881,234,295,
315,911,399,234,903,731,960,373,218,301,988,243,879,509,668,388,689,214,253,
758,718,822,600,193,630,611,311,847,632,673,646,697,646,404,751,496,514,863,
996,445,352,600,807,605,225,480,239,191,365,243,044,037,712,351,191,730,310,
036,229,713,732,401,501,909,856,916,977,767,554,931,653,010,322,197,749,622,
370,132,620,699,587,254,689,083,227,821,528,257,648,100,917,134,942,134,799,
758,568,028,884,899,658,446,103,819,919,595,954,550,666,198,162,932,635,466,
367,273,223,066,733,171,751,393,493,040,162,788,282,742,853,269,833,575,780,
492,807,295,677,806,800,707,468,436,073,400,221,330,336,972,674,655,768,718,
783,817,548,400,558,569,360,638,733,248,241,842,981,700,563,139,320,900,254,
224,427,268,168,439,938,837,077,749,854,601,968,955,414,781,375,027,502,597,
534,240,493,712,114,318,356,517,320,733,561,769,617,461,089,375,299,852,304,
014,300,568,981,676,105,110,707,716,435,588,920,114,510,348,297,796,297,955,
578,523,992,566,797,081,088,534,839,349,395,186,638,538,731,555,755,171,745,
680,932,480,564,544,091,963,999,949,838,140,641,047,058,177,269,569,781,852,
883,580,352,148,971,498,126,570,298,887,383,926,538,556,989,000,999,283,921,
013,188,278,364,665,653,065,587,592,732,797,310,719,530,796,759,784,099,038,
102,082,922,257,077,739,340,568,085,412,679,539,701,773,432,128,230,156,482,
865,366,202,742,310,400,222,481,298,444,145,092,144,303,512,835,130,173,376,
065,559,193,879,637,829,405,722,279,545,657,417,026,056,329,178,069,141,631,
381,437,946,582,019,365,315,264,638,846,213,311,781,295,826,212,926,867,352,
227,590,964,334,741,334,505,756,893,065,984,341,678,869,900,076,972,160,400,
961,662,926,742,197,352,799,634,497,564,337,683,286,988,545,549,541,327,161,
977,349,194,151,016,578,052,319,519,153,739,939,390,235,020,509,820,400,995,
220,825,607,065,597,932,693,392,950,020,924,826,816,754,400,326,546,692,124,
713,663,135,599,800,108,857,652,885,469,768,585,058,180,205,034,082,010,506,
206,503,515,113,205,929,249,149,706,267,849,123,116,973,652,499,721,232,466,
634,145,110,008,501,404,885,018,223,811,733,854,433,399,135,112,424,958,284,
241,216,225,326,520,966,993,622,428,671,047,414,774,890,803,912,848,266,054,
127,914,472,730,594,340,165,754,227,540,642,339,767,593,539,578,573,124,515,
945,563,960,159,171,163,503,081,371,494,532,866,229,015,923,873,079,761,712,
414,652,528,052,735,451,374,624,023,609,396,068,513,867,254,444,688,172,771,
077,904,127,945,967,926,668,862,233,491,990,019,036,466,692,243,834,958,367,
239,673,256,679,319,919,587,705,712,169,301,267,560,544,394,844,793,829,447,
373,743,744,047,419,558,181,640,444,617,605,154,879,235,253,240,060,311,464,
502,923,750,011,968,014,710,644,713,619,160,021,289,766,868,681,908,039,772,
959,313,183,218,029,810,497,156,325,163,713,182,163,728,134,121,755,495,206,
609,383,322,713,845,630,193,304,976,241,444,287,710,786,955,027,476,530,353,
597,325,625,021,120,949,039,335,552,727,417,061,006,299,573,643,821,196,258,
689,047,445,716,785,388,929,954,667,477,746,893,377,030,080,805,522,424,129,
385,338,941,413,980,224,085,161,094,964,917,635,459,593,737,085,405,923,692,
614,560,774,883,851,690,759,726,318,337,641,490,772,710,415,997,077,837,430,
648,282,116,182,152,307,826,491,974,456,851,827,342,467,561,534,886,626,300,
865,275,342,784,089,161,294,121,569,053,819,812,703,388,364,344,488,867,754,
747,190,037,705,876,321,410,243,609,191,835,382,653,984,891,755,786,810,351,
133,499,162,748,453,101,771,140,464,784,170,325,127,226,153,820,665,631,765,
472,646,599,135,735,457,817,581,007,866,388,340,097,955,438,739,590,966,650,
215,413,827,692,868,425,451,156,799,812,243,959,507,174,082,268,061,414,690,
621,351,630,606,853,961,226,272,463,281,485,261,713,527,937,740,678,254,277,
563,663,531,470,006,981,496,088,511,398,431,421,354,892,865,689,407,910,178,
262,684,493,583,247,146,646,116,127,522,638,822,815,291,688,576,358,142,700,
591,346,851,874,720,663,302,950,229,861,525,037,353,447,492,614,655,805,767,
854,546,231,314,824,796,607,002,911,971,163,084,568,554,306,636,008,130,295,
673,562,036,334,083,941,243,447,764,465,838,090,328,982,387,547,286,960,058,
912,308,848,816,510,970,592,968,626,497,760,373,800,787,684,150,596,602,949,
971,488,456,556,296,035,451,981,853,516,162,404,896,470,999,448,403,302,335,
272,425,850,595,213,121,554,488,110,932,711,045,199,204,915,163,474,040,026,
178,224,781,354,183,136,378,580,117,742,418,458,850,961,478,417,389,130,300,
829,183,834,481,511,780,840,080,162,491,383,608,697,285,749,821,173,662,173,
339,526,138,663,493,934,142,400,473,600,607,118,165,869,376,556,297,637,001,
354,732,237,598,529,155,724,744,176,315,188,938,408,786,279,734,355,109,061,
426,217,344,518,741,831,636,342,504,864,999,468,871,961,673,203,705,596,603,
256,699,933,921,221,462,353,195,683,535,086,558,861,631,848,045,654,756,642,
030,581,024,041,243,061,448,747,675,019,579,503,411,507,078,198,233,707,261,
105,766,185,753,544,241,934,539,634,508,526,844,127,259,567,306,933,177,107,
430,174,284,606,650,448,932,814,224,330,123,540,372,744,681,655,849,941,833,
930,851,652,786,801,468,105,752,166,720,773,705,515,776,712,262,484,289,130,
050,718,841,104,059,679,036,172,017,290,151,580,694,222,200,569,865,904,962,
267,717,559,843,965,988,185,533,949,367,677,608,049,800,161,602,797,330,470,
209,199,828,634,562,190,187,734,843,460,846,451,967,975,445,598,376,139,055,
500,274,556,684,106,549,247,612,265,665,824,984,436,319,419,504,509,706,848,
765,469,209,859,281,261,496,443,615,435,025,285,078,622,868,456,004,345,866,
495,709,160,487,659,485,419,561,176,169,805,479,227,493,740,502,511,582,106,
432,128,215,480,979,998,027,307,170,489,832,854,086,376,429,985,221,471,847,
827,519,569,684,692,063,238,062,468,014,512,464,385,728,659,468,268,325,611,
996,931,224,183,431,562,567,872,159,823,394,833,867,879,481,049,076,802,737,
927,942,985,281,700,570,048,269,884,555,937,283,761,555,492,437,633,084,941,
502,807,446,966,713,989,536,991,334,958,309,014,470,520,472,576,501,630,224,
571,363,580,225,411,534,073,144,195,928,316,570,426,902,354,110,024,727,944,
766,159,449,299,304,178,847,812,359,092,644,579,992,017,554,667,247,262,825,
403,841,493,440,089,744,052,823,191,108,007,679,170,335,698,327,593,046,220,
834,065,054,871,305,437,953,030,475,945,185,467,225,949,966,743,569,013,826,
558,934,642,890,087,169,065,648,530,060,116,453,688,586,315,484,584,948,707,
030,890,119,628,039,030,420,418,263,223,489,624,647,731,407,734,174,755,035,
653,065,856,870,017,400,132,798,908,365,155,041,565,902,282,801,730,256,032,
795,158,232,862,741,076,781,182,328,594,870,603,583,655,462,469,276,831,613,
269,526,616,548,753,693,096,391,985,042,668,579,533,507,520,091,225,559,891,
946,085,999,848,647,928,421,239,947,641,637,237,017,410,831,860,000,932,731,
675,632,489,353,766,172,690,066,151,681,936,195,815,560,796,326,458,696,797,
329,416,470,435,560,512,499,353,718,499,266,138,729,042,336,766,350,808,465,
410,240,076,688,274,347,187,155,794,320,843,660,884,014,842,143,224,396,692,
134,059,416,333,840,500,702,781,592,159,098,868,448,929,735,138,364,201,502,
916,924,202,326,706,850,172,071,485,837,370,613,759,836,339,059,761,455,304,
247,371,827,462,005,316,921,506,815,373,524,937,697,050,498,136,903,436,670,
531,633,080,664,451,894,306,627,185,750,027,767,182,209,014,826,312,252,088,
020,775,267,734,861,538,738,268,056,683,548,268,710,990,307,282,599,808,254,
105,576,473,453,105,312,989,693,595,202,539,831,951,295,762,033,683,760,760,
066,148,373,318,642,256,775,559,608,177,640,634,784,279,896,588,220,935,861,
507,352,445,036,752,442,248,036,019,273,108,552,224,305,437,851,173,508,021,
087,801,955,094,191,612,699,556,784,965,389,091,480,522,043,752,873,035,147,
819,206,172,349,290,759,000,468,433,623,964,451,688,097,752,758,067,227,880,
074,700,439,511,804,500,472,454,155,881,281,331,282,784,417,093,271,102,718,
611,544,777,479,384,787,185,291,204,877,916,467,946,609,524,267,853,389,938,
716,233,043,174,179,542,324,711,156,045,118,157,104,662,870,227,499,831,441,
902,054,729,577,555,578,398,009,938,088,987,562,433,408,219,980,155,994,854,
356,381,482,200,458,821,131,492,104,400,339,435,827,838,188,163,914,800,930,
078,208,867,110,691,525,356,575,789,776,039,306,092,936,850,420,647,854,989,
622,583,041,284,689,225,837,655,926,513,580,017,764,163,410,519,529,165,577,
423,506,520,912,469,812,467,969,079,653,861,289,557,748,424,242,111,192,640,
756,766,202,377,615,413,384,804,420,770,148,795,068,421,834,351,674,863,500,
339,472,477,272,764,400,273,224,192,413,327,117,218,954,957,246,594,163,621,
927,748,237,798,457,194,485,035,986,545,017,628,077,605,505,021,878,236,555,
830,493,367,344,881,814,083,266,681,456,934,647,875,723,786,200,013,775,875,
884,408,765,408,169,234,910,214,394,298,312,622,243,869,250,892,639,418,339,
491,115,389,557,972,267,188,797,117,398,885,318,952,907,173,297,832,811,998,
683,883,804,115,109,778,708,435,639,541,848,464,157,707,157,597,883,820,537,
647,108,267,424,250,581,464,657,888,055,702,504,629,118,644,336,441,274,688,
950,540,619,457,029,356,632,615,850,479,409,994,527,275,955,513,264,787,654,
552,190,739,645,985,116,681,161,911,021,010,523,065,389,374,321,133,258,560,
293,418,623,300,036,552,893,443,141,386,467,490,554,390,866,270,685,665,845,
516,753,165,732,366,867,677,575,882,498,561,242,004,263,632,415,637,847,811,
686,851,220,939,613,681,101,279,874,041,990,555,807,773,395,293,675,322,427,
215,741,342,485,953,521,373,834,637,305,243,561,008,962,341,497,850,058,352,
423,493,253,848,052,231,496,858,860,903,278,825,751,737,888,208,260,744,088,
427,800,416,807,073,185,384,766,301,657,063,713,030,443,130,026,978,295,373,
458,502,369,801,922,360,083,668,907,698,511,832,172,151,879,087,196,976,398,
784,631,609,629,374,888,358,154,547,610,890,162,419,460,863,227,388,975,695,
095,080,685,226,752,564,514,759,729,549,064,392,927,210,428,778,111,541,107,
693,551,527,314,098,024,427,723,814,896,663,989,112,683,777,323,565,932,829,
184,812,498,920,017,348,203,937,272,222,484,813,780,760,280,274,748,271,349,
343,111,606,794,725,598,289,802,403,591,372,129,426,601,267,049,986,515,529,
628,329,523,378,016,644,196,944,929,587,441,525,271,991,430,762,154,843,995,
472,301,788,306,316,403,002,503,242,980,943,016,884,439,229,573,789,503,658,
085,201,517,870,683,930,534,536,713,168,443,524,092,034,725,085,930,368,013,
493,620,919,278,880,101,604,912,921,656,752,322,730,413,866,852,785,027,624,
702,590,259,400,050,902,460,916,421,828,994,387,916,264,437,417,084,819,048,
413,832,853,103,731,888,559,286,939,804,232,987,658,260,169,984,575,594,051,
030,058,040,809,117,415,260,466,920,904,195,741,922,616,757,700,382,176,904,
967,858,878,794,665,131,297,742,308,974,221,046,046,499,140,563,701,419,351,
445,227,997,288,923,566,742,651,128,980,689,900,036,517,122,956,634,356,566,
044,240,495,657,423,703,100,868,797,833,557,768,556,090,730,954,311,055,418,
646,639,450,045,137,772,783,411,294,564,341,113,794,294,816,339,193,573,772,
335,899,010,489,199,117,939,769,813,011,865,531,018,469,307,267,439,959,074,
860,479,739,020,342,805,072,074,199,880,897,670,696,124,017,235,900,679,002,
583,417,661,032,594,494,265,836,485,177,725,787,332,346,537,321,720,198,970,
788,579,454,310,277,184,560,458,578,418,101,955,431,875,607,158,100,479,444,
910,025,831,328,621,544,052,479,273,006,456,321,055,698,987,761,658,836,313,
191,638,648,876,226,924,927,116,776,360,257,030,214,493,141,422,703,901,539,
539,556,329,219,147,323,601,504,061,035,534,826,518,726,784,566,065,146,367,
662,765,721,795,969,064,341,468,728,793,242,350,519,249,056,161,141,373,538,
857,423,461,753,158,451,893,070,951,046,215,191,942,236,743,672,294,729,422,
250,952,718,283,051,603,992,125,929,758,432,544,298,020,508,618,362,255,490,
269,466,666,034,068,005,808,841,106,158,207,237,934,906,910,675,797,724,297,
156,614,780,823,888,556,645,702,957,232,118,448,341,613,097,245,485,717,808,
409,605,784,778,353,765,549,225,956,105,538,092,895,990,106,772,692,149,698,
446,162,281,643,749,886,803,702,357,193,572,329,562,474,510,692,792,683,972,
788,953,820,722,454,998,855,121,358,138,982,745,324,550,020,340,652,104,012,
437,678,801,281,806,416,452,285,638,423,125,617,230,410,612,673,387,505,753,
781,405,848,441,893,035,438,575,195,971,436,718,346,405,004,190,789,133,225,
726,539,389,454,263,067,032,016,549,498,817,394,221,363,993,002,191,233,324,
001,546,887,780,617,410,145,766,861,235,848,110,016,768,958,051,605,033,632,
748,800,463,120,098,983,667,890,626,287,986,020,147,805,525,179,828,312,492,
028,241,570,941,944,512,171,872,710,053,617,383,308,261,810,474,097,181,045,
211,265,072,654,711,625,452,720,096,232,766,633,398,987,085,176,381,700,128,
818,381,428,894,875,980,347,175,008,728,714,766,326,181,288,191,590,640,187,
031,106,412,525,205,993,557,484,904,545,736,910,435,555,342,929,331,846,073,
926,456,997,383,904,195,091,550,304,500,040,528,562,923,070,027,741,566,908,
564,469,503,079,981,074,675,876,718,312,854,821,767,784,236,010,902,641,592,
815,107,251,530,432,794,060,063,021,210,667,018,477,218,905,082,119,330,344,
489,797,712,509,497,657,712,310,800,414,889,579,698,375,183,401,979,427,364,
731,412,592,918,641,636,627,415,211,739,343,991,558,344,357,778,253,527,883,
566,289,220,778,481,694,513,714,039,877,762,024,349,908,739,990,275,763,029,
815,177,012,617,118,049,741,768,773,365,336,773,402,623,502,959,046,337,951,
304,401,156,637,087,762,882,833,294,414,364,379,640,359,396,799,430,478,976,
380,891,840,123,634,227,503,307,656,572,437,695,383,005,918,720,725,678,088,
954,740,260,440,062,552,267,835,731,221,563,002,526,533,050,628,827,327,895,
177,634,937,144,950,586,731,679,864,733,478,717,220,452,548,649,605,714,029,
264,656,915,791,965,857,757,139,806,711,200,015,639,583,449,615,138,569,493,
708,589,271,167,908,847,649,944,448,596,574,011,500,628,640,771,449,099,289,
315,777,634,321,777,893,948,919,000,078,183,162,000,117,710,924,546,549,905,
904,125,779,404,112,743,934,291,602,381,829,327,412,383,897,782,758,870,450,
898,083,761,091,897,734,020,304,711,557,431,612,889,699,388,171,026,655,978,
726,932,225,391,935,920,475,436,038,149,080,062,187,352,063,503,408,300,622,
538,092,343,486,079,492,711,053,595,819,294,911,881,611,179,831,063,520,388,
633,321,175,036,137,663,721,311,325,383,275,709,266,176,715,634,153,394,352,
581,139,925,647,708,782,474,341,691,919,381,852,645,992,164,430,433,990,392,
012,799,253,562,411,485,848,548,102,493,213,888,517,842,192,355,711,799,433,
636,358,532,787,769,661,706,495,420,697,617,263,764,084,702,906,996,533,878,
817,262,940,677,424,276,339,968,414,828,652,629,978,973,432,268,298,523,529,
949,543,055,993,753,569,630,460,717,324,875,544,739,906,946,828,973,761,087,
146,406,346,038,207,896,748,715,605,446,120,095,662,978,000,701,508,632,569,
401,068,347,061,374,660,390,353,640,069,025,741,979,261,046,049,545,509,235,
393,319,666,457,102,631,277,514,958,956,312,802,173,026,690,557,241,075,657,
418,038,661,328,653,698,710,286,280,385,423,453,636,665,388,647,157,255,030,
763,437,373,187,548,086,997,260,648,639,428,822,429,661,916,256,909,230,720,
416,168,892,916,773,752,776,449,196,174,384,209,111,684,557,557,775,219,388,
905,014,620,889,897,405,063,085,378,026,214,867,335,651,569,962,500,132,266,
727,314,636,391,512,034,420,229,954,474,028,946,205,305,881,423,101,904,076,
262,470,418,957,020,220,465,707,849,754,297,800,164,853,417,434,808,964,718,
798,739,734,042,864,854,810,392,366,687,467,060,800,183,948,712,951,229,343,
084,793,688,301,387,115,005,071,765,795,981,537,696,885,378,539,823,285,911,
974,444,814,777,093,842,391,705,470,679,377,146,064,344,952,338,921,073,176,
666,430,733,378,653,123,212,173,137,042,849,492,609,823,389,368,187,960,760,
836,778,923,176,465,275,902,453,677,777,937,127,759,424,867,252,053,303,231,
039,122,863,382,097,831,835,286,343,682,691,855,750,751,858,934,867,475,282,
250,702,358,026,994,670,591,809,978,343,592,730,056,722,577,722,090,213,900,
362,090,409,320,778,712,270,415,815,526,340,703,465,627,431,013,609,068,746,
633,162,968,368,186,754,392,050,565,821,927,555,436,428,149,696,844,715,561,
030,648,114,947,598,059,801,572,083,818,349,674,047,548,757,106,588,882,797,
879,181,482,123,016,519,616,373,197,426,448,962,112,864,120,080,063,424,718,
326,758,669,667,945,194,467,346,666,146,367,318,068,248,900,586,314,528,095,
155,347,273,412,855,394,822,711,953,616,518,849,160,068,762,699,004,077,551,
446,231,621,223,013,415,492,535,075,155,803,220,427,760,065,482,699,096,200,
617,133,917,633,522,040,074,054,237,076,176,506,595,257,484,364,701,543,936,
474,995,968,479,524,187,658,888,340,794,093,572,038,301,165,165,306,148,300,
798,168,590,769,025,151,090,279,534,235,515,001,172,050,686,671,573,997,077,
302,032,520,230,441,284,958,763,076,187,223,023,465,764,479,113,407,663,861,
699,510,424,053,377,376,374,177,776,180,741,720,765,737,638,005,133,659,244,
249,078,843,608,424,463,734,924,848,726,361,551,964,618,242,016,050,209,544,
255,597,760,093,745,905,850,845,979,226,620,576,819,728,747,895,304,172,068,
281,364,850,283,797,065,032,676,105,000,744,253,942,336,653,774,302,785,236,
711,261,031,086,055,362,161,232,121,071,850,182,806,126,677,176,802,748,011,
964,865,831,898,591,549,765,561,069,419,644,109,289,652,094,538,544,984,503,
733,007,764,378,018,115,964,768,477,155,026,649,053,755,083,436,616,146,868,
341,056,990,144,414,245,345,961,946,662,379,412,686,362,580,049,198,224,932,
309,523,259,210,465,886,192,205,918,917,474,785,877,773,367,664,623,575,343,
564,676,809,332,322,311,774,212,091,498,802,198,072,269,560,108,129,555,983,
370,648,688,843,860,606,894,341,750,699,372,141,930,729,051,177,106,890,268,
617,207,729,294,320,719,594,944,943,369,186,001,693,828,213,401,458,251,856,
701,387,556,641,878,239,847,158,298,397,926,987,632,478,945,974,541,597,396,
694,303,376,654,396,390,594,683,878,937,479,859,643,664,218,864,695,625,399,
927,295,277,784,189,530,224,584,742,944,565,475,034,317,322,404,919,012,446,
330,469,632,929,955,010,506,227,127,477,009,258,577,354,698,690,336,022,594,
160,430,310,925,256,931,186,115,431,332,715,136,181,229,403,061,309,284,691,
974,224,291,801,889,385,383,193,363,080,083,936,290,722,908,071,455,048,617,
017,963,456,954,610,341,032,995,244,574,674,292,857,808,767,777,975,984,387,
296,090,554,871,964,488,397,736,287,819,598,976,923,698,357,347,840,946,590,
391,635,178,322,920,624,081,879,028,009,900,230,638,792,885,632,329,061,677,
868,260,681,873,105,126,478,117,559,246,912,240,896,204,778,642,100,112,820,
680,236,363,282,706,521,221,537,594,758,056,810,859,838,952,085,559,733,557,
144,364,851,975,538,722,181,862,853,544,072,736,065,149,278,881,532,428,233,
051,067,227,835,797,199,519,175,129,166,982,968,401,579,579,357,574,029,374,
084,785,165,081,449,806,935,942,079,419,786,407,616,138,490,290,248,578,241,
919,705,853,559,911,044,345,406,725,840,731,299,324,259,501,006,955,860,693,
016,008,410,717,518,632,408,088,950,958,219,061,234,131,439,863,976,800,043,
418,180,639,669,789,180,559,232,119,488,160,415,025,763,035,337,002,850,222,
568,654,756,969,844,821,999,312,265,294,350,686,894,136,137,726,108,039,785,
189,017,391,974,251,526,013,252,094,688,109,385,981,282,599,419,386,136,167,
716,108,075,155,298,672,712,424,357,478,289,903,967,450,400,546,589,192,051,
919,979,335,466,183,108,044,497,905,666,173,494,605,629,039,120,930,607,081,
387,798,721,336,495,240,520,852,780,134,905,929,411,655,398,255,116,174,608,
076,781,450,898,751,902,303,896,018,317,317,240,628,897,855,876,691,642,871,
554,948,888,734,620,606,433,705,857,726,433,414,151,178,332,533,377,058,578,
627,361,022,728,564,604,494,083,817,111,931,959,134,892,810,967,624,700,949,
852,770,880,913,558,814,078,082,331,612,648,150,948,078,203,777,924,042,427,
000,293,268,766,499,933,567,138,882,157,136,865,397,109,556,984,254,763,758,
459,611,461,435,722,467,808,933,362,549,469,684,524,345,112,820,468,615,757,
677,331,683,490,612,947,131,134,674,102,039,978,209,026,918,636,306,419,647,
212,226,334,856,584,189,561,823,090,940,226,237,045,289,609,254,060,895,465,
231,954,429,566,551,716,768,734,669,083,530,945,279,860,223,074,401,344,894,
890,617,682,534,281,232,743,525,262,402,076,952,285,931,378,556,897,168,969,
045,623,854,852,372,513,427,786,028,310,904,856,857,121,097,925,979,339,743,
613,776,508,575,994,452,513,887,181,527,703,531,782,901,971,910,864,898,087,
866,230,630,322,336,100,936,245,436,060,906,393,142,356,521,540,048,929,328,
144,282,691,165,411,610,841,905,277,128,507,408,741,981,116,448,870,735,822,
611,024,279,816,546,794,684,086,248,674,965,434,367,577,399,718,414,677,191,
028,198,742,453,339,358,843,279,662,656,994,553,739,497,054,721,045,550,411,
814,148,712,009,617,119,867,818,049,841,536,073,886,842,300,225,814,763,331,
806,535,551,804,397,675,234,588,095,240,722,361,935,215,083,989,000,447,851,
966,836,012,268,754,548,970,083,754,046,569,368,013,269,064,483,978,496,507,
238,044,142,737,042,164,082,410,524,434,568,455,058,441,955,453,802,012,924,
561,648,944,414,200,752,897,922,619,539,728,849,783,995,087,475,895,534,254,
317,244,734,467,783,296,892,924,860,345,935,167,058,790,066,692,494,215,692,
573,272,510,274,586,901,334,177,907,817,421,739,755,169,643,341,337,207,733,
882,602,816,829,103,498,033,907,572,371,406,982,442,550,471,546,099,104,284,
966,458,111,573,336,005,058,234,667,071,113,090,491,714,782,083,998,167,947,
458,141,221,151,985,280,624,826,562,405,074,463,901,269,449,693,528,367,264,
425,484,041,438,604,690,632,816,500,023,681,832,754,616,021,647,405,628,463,
502,843,061,206,252,553,172,044,897,813,649,990,219,493,640,240,207,779,268,
385,334,427,432,839,233,703,566,025,200,169,795,202,888,060,530,041,419,340,
229,183,738,574,253,044,209,160,258,696,363,403,442,669,914,051,480,270,225,
691,298,272,701,666,129,562,340,632,221,614,318,212,634,676,809,754,086,885,
713,648,089,026,909,485,704,928,606,458,531,671,850,570,649,415,285,280,584,
106,119,869,145,341,312,151,571,773,811,002,640,632,952,638,572,236,717,498,
410,820,418,446,923,234,433,171,954,551,613,587,153,098,748,808,972,485,779,
557,644,943,705,918,344,537,900,416,768,370,378,356,913,860,633,335,067,364,
998,402,150,872,506,608,989,724,655,522,186,240,534,923,877,881,005,447,353,
110,849,460,934,468,021,444,932,883,384,264,943,255,010,299,835,353,601,978,
505,778,683,275,722,056,760,414,824,424,991,364,480,203,736,807,187,804,708,
189,322,068,126,830,507,240,992,877,021,187,810,704,245,543,107,214,877,372,
205,188,943,854,742,689,871,949,008,222,709,056,251,484,287,134,078,168,612,
089,879,594,351,974,720,705,543,485,468,141,453,375,157,718,806,767,977,789,
147,859,891,658,865,622,898,693,305,337,588,869,595,569,675,338,208,884,675,
627,424,322,195,130,363,229,975,324,350,358,105,925,497,307,581,025,038,844,
548,892,422,772,843,943,095,802,087,788,571,791,926,765,309,863,715,344,371,
892,124,299,630,815,335,339,986,654,241,834,842,293,120,554,462,637,232,294,
756,134,675,108,677,220,744,454,984,826,227,025,490,607,769,276,747,978,009,
633,216,601,743,835,825,648,919,818,642,062,519,322,181,405,671,190,137,195,
919,119,814,898,868,143,713,330,672,943,888,963,137,168,644,345,562,879,097,
830,313,583,614,997,674,550,726,911,021,557,879,149,916,743,461,914,656,073,
313,753,391,181,833,604,720,183,467,250,804,826,831,409,710,260,897,221,546,
227,652,819,025,554,409,832,748,943,483,046,241,797,863,413,506,291,402,064,
041,469,627,858,793,454,322,699,704,104,112,232,976,288,440,521,555,022,521,
892,257,208,012,476,970,831,321,020,056,981,720,611,826,806,905,815,074,488,
177,054,250,541,081,411,156,511,562,796,424,447,446,225,567,600,929,994,999,
556,551,522,920,228,368,539,103,664,817,393,469,648,622,282,088,469,068,082,
720,443,779,842,570,087,461,894,641,373,318,835,174,710,398,334,195,228,015,
514,500,361,578,453,005,105,969,939,142,060,165,375,758,064,726,094,600,982,
028,900,591,581,406,018,171,853,261,582,986,405,813,231,800,527,684,199,351,
097,681,493,403,074,163,569,696,844,636,406,672,176,095,815,229,915,692,314,
033,062,474,928,455,767,768,294,937,768,490,134,620,699,002,271,106,789,861,
960,951,110,817,946,956,955,773,630,983,852,482,872,047,122,351,627,978,286,
154,094,064,497,581,121,313,908,053,397,350,246,129,427,991,022,729,603,002,
597,191,031,459,089,431,923,993,401,203,940,958,137,324,934,229,752,632,303,
106,912,855,813,124,413,716,127,686,076,326,780,433,318,284,521,435,055,606,
875,496,507,123,707,855,060,069,238,513,362,612,475,734,531,475,896,511,756,
880,501,209,409,168,885,359,685,154,604,374,334,909,434,910,009,057,257,359,
025,443,793,359,094,202,398,178,550,871,592,408,646,353,215,092,003,028,178,
118,895,892,279,129,892,710,455,367,707,056,837,167,425,624,597,484,736,449,
506,769,503,287,372,878,720,471,296,007,044,269,244,981,158,677,893,136,115,
215,710,173,676,712,015,768,390,846,497,663,892,347,156,831,579,004,671,086,
739,530,811,740,186,704,399,795,797,873,343,000,497,835,147,327,344,839,916,
668,725,756,941,744,994,079,503,696,754,974,543,035,945,902,246,143,842,109,
804,932,462,864,276,489,400,479,267,499,596,623,172,256,458,955,130,803,864,
648,632,758,056,471,801,798,303,761,277,459,842,552,785,967,828,601,797,004,
453,183,861,347,488,486,927,037,331,751,822,085,255,797,216,360,466,935,031,
987,213,740,959,924,396,795,818,686,951,023,127,256,130,188,149,096,991,648,
194,150,025,425,416,998,012,810,123,734,356,346,297,267,917,133,577,379,601,
420,950,590,457,547,875,554,274,320,933,477,031,191,090,406,682,316,742,826,
634,220,228,628,362,785,346,932,710,545,698,090,939,744,052,634,240,470,897,
238,567,386,415,146,217,967,802,209,824,446,909,313,179,660,343,941,199,640,
565,024,521,929,762,696,761,908,707,771,742,322,363,113,570,325,355,396,402,
781,526,796,917,991,173,073,971,374,248,954,645,391,556,260,652,739,423,117,
091,643,935,348,468,623,780,492,245,406,896,993,533,699,636,832,158,609,945,
507,352,419,926,018,544,607,077,251,596,490,398,592,189,761,853,950,464,962,
348,908,414,099,656,176,242,673,895,848,003,640,017,881,461,444,379,247,209,
164,140,125,408,398,224,975,881,935,077,776,109,816,338,895,720,028,043,702,
627,951,716,482,188,405,705,082,322,864,322,412,203,883,772,583,614,480,539,
042,444,337,859,223,654,217,119,801,329,631,956,207,175,404,638,895,314,191,
359,236,978,024,167,018,486,087,561,097,588,388,614,163,095,378,085,731,760,
169,406,991,208,096,649,789,888,048,985,043,801,590,557,354,330,742,034,853,
868,191,312,684,507,625,948,677,141,868,417,173,402,398,221,464,275,694,885,
684,725,261,251,186,788,109,873,113,463,454,433,653,141,628,354,191,826,479,
182,456,028,718,409,546,380,675,437,850,030,800,908,877,740,006,781,738,951,
573,241,728,230,545,036,093,394,270,731,442,122,977,852,646,303,656,026,457,
628,637,765,159,865,188,906,320,499,977,054,120,292,551,208,545,668,835,387,
227,108,852,361,017,890,216,585,885,275,175,299,830,788,277,739,668,279,864,
555,446,446,018,823,009,735,465,450,628,925,460,509,391,834,499,643,870,875,
896,886,257,172,349,799,805,059,268,640,684,683,273,470,214,375,166,127,895,
130,454,824,614,254,023,020,578,685,743,871,120,139,238,151,169,709,558,346,
208,692,496,904,571,812,982,493,096,479,396,486,952,154,496,507,671,600,526,
732,814,247,696,389,016,539,654,408,117,404,604,285,274,866,563,461,546,184,
966,454,725,256,299,350,449,366,424,547,848,664,135,985,109,794,943,515,747,
346,402,148,422,330,443,116,801,004,936,432,582,321,430,750,279,062,513,339,
952,364,416,420,428,900,993,169,759,897,408,244,067,557,808,350,938,396,377,
397,310,741,231,780,115,033,365,712,077,058,707,729,515,660,389,896,232,223,
459,055,414,126,735,142,681,585,843,000,643,028,533,880,499,570,511,617,733,
140,085,997,212,541,461,437,719,507,614,336,640,610,363,013,537,443,867,434,
020,504,853,923,537,901,777,362,025,113,401,628,529,475,859,547,336,519,942,
857,833,301,837,952,224,391,340,742,668,517,090,220,855,085,786,057,777,706,
539,946,330,496,775,165,215,941,620,625,504,475,264,352,237,740,707,517,486,
275,345,876,572,241,102,463,832,190,115,001,728,620,412,544,337,861,646,052,
109,090,286,237,984,370,186,295,788,647,465,145,011,452,707,468,361,306,843,
882,769,300,018,600,810,770,250,842,265,973,200,277,291,810,690,375,373,108,
790,634,839,163,011,111,834,769,276,805,341,798,436,449,997,298,622,252,345,
992,767,451,242,942,845,654,544,124,066,901,376,162,130,200,566,244,540,895,
195,668,580,908,853,806,238,307,818,904,423,070,317,415,329,461,355,277,217,
082,241,427,691,890,421,923,830,698,956,190,597,812,250,836,688,782,460,614,
946,409,362,778,897,144,107,008,969,161,088,724,127,149,666,913,406,317,529,
666,176,895,366,197,673,715,540,723,029,727,165,308,262,338,130,144,573,807,
870,994,887,981,527,646,842,083,678,818,359,918,570,503,046,833,290,937,163,
361,398,868,579,869,129,927,309,949,392,354,480,853,502,280,195,369,877,883,
497,153,034,623,593,111,014,002,268,697,933,102,744,409,784,251,196,555,786,
496,460,714,864,959,203,040,885,844,145,688,222,778,447,957,183,215,269,292,
939,625,497,308,018,096,392,823,863,072,611,868,698,834,013,149,468,368,687,
245,203,801,766,865,353,420,977,042,409,244,488,096,051,811,774,322,683,564,
853,072,623,230,127,675,937,190,442,783,982,707,210,254,465,313,784,045,921,
753,124,040,207,781,827,376,960,946,296,286,558,725,061,748,336,184,854,717,
174,290,608,597,324,478,932,629,208,362,220,084,978,284,051,857,405,872,949,
009,141,126,020,070,399,874,280,907,912,131,502,580,294,106,569,814,392,354,
154,374,877,216,651,964,217,450,923,375,009,464,448,031,901,227,133,168,452,
493,664,070,315,417,577,827,348,321,420,154,282,523,577,238,690,469,508,622,
768,847,168,089,154,838,226,617,143,113,244,370,965,034,834,637,505,606,963,
823,275,894,397,210,006,449,710,882,381,926,742,468,791,808,827,027,509,998,
099,030,953,839,262,290,200,755,301,387,648,591,003,913,243,058,634,061,045,
605,106,506,503,462,436,686,571,598,036,627,714,350,855,959,445,676,742,004,
981,336,582,850,406,281,936,625,129,137,340,305,132,479,447,549,659,312,620,
003,944,939,052,749,824,138,208,915,104,872,061,211,223,886,194,954,624,571,
713,504,242,003,768,801,873,174,967,340,447,930,425,177,447,320,518,494,794,
474,681,278,307,501,656,817,446,959,124,552,408,701,799,893,180,270,282,116,
108,480,494,312,741,368,468,508,402,403,857,376,328,926,461,555,467,962,722,
775,509,546,337,588,067,926,281,105,153,265,191,088,540,138,419,099,219,632,
358,769,000,401,155,756,687,216,792,776,411,931,728,460,504,020,946,461,385,
385,554,723,973,788,696,607,781,686,506,162,289,171,364,499,181,222,653,528,
727,089,740,740,040,714,950,388,711,698,534,039,199,022,878,146,715,517,531,
356,768,321,464,692,280,494,318,309,562,964,057,948,979,056,792,554,825,974,
083,183,931,748,610,377,793,664,535,770,714,414,146,957,977,537,945,868,116,
237,481,414,914,160,428,599,401,910,499,093,366,614,281,823,854,085,336,001,
410,948,020,969,240,202,678,970,890,753,657,837,021,942,567,731,392,151,780,
037,666,010,648,438,074,018,155,791,013,691,828,374,000,732,047,591,506,220,
786,609,362,208,687,535,481,178,962,976,997,692,228,841,894,470,887,977,372,
680,354,740,205,746,414,663,210,669,777,217,301,114,374,050,786,431,425,183,
404,747,719,104,149,600,143,025,334,974,875,120,356,615,426,818,449,007,546,
870,310,056,433,012,193,282,458,389,798,644,264,528,292,256,816,147,559,878,
275,691,134,992,086,417,863,944,120,731,369,363,692,256,797,803,995,265,161,
911,445,312,747,269,584,577,554,823,464,050,523,916,625,215,777,254,648,979,
705,894,690,423,922,516,418,815,021,206,203,888,412,894,236,665,695,423,648,
079,591,544,092,758,489,942,421,045,972,815,308,370,787,832,285,271,373,467,
347,755,547,428,592,251,238,517,503,608,831,187,553,547,175,165,900,505,024,
701,028,374,170,309,745,102,197,052,804,726,231,061,074,971,511,163,314,309,
123,979,157,721,805,650,961,572,827,407,318,066,552,775,348,452,097,914,975,
291,864,461,747,735,353,359,866,812,499,936,073,476,513,861,193,782,469,640,
677,406,943,999,312,970,418,919,144,376,683,876,993,963,945,327,105,384,019,
302,132,143,624,136,072,718,559,626,707,558,160,491,549,966,427,220,871,434,
181,214,769,835,111,415,509,031,344,994,787,101,055,468,802,888,720,272,905,
521,450,401,573,688,566,262,927,008,028,571,231,335,296,492,130,206,163,692,
152,730,553,334,908,317,278,429,351,264,147,627,418,468,378,163,041,678,953,
086,547,654,937,061,402,614,685,114,312,612,135,324,477,531,245,429,095,747,
064,464,042,050,880,174,843,817,725,048,596,158,245,173,211,003,033,872,752,
342,854,604,063,005,431,051,899,787,661,477,125,223,466,338,521,139,064,598,
973,315,644,493,522,749,289,573,446,800,444,267,619,946,876,211,782,874,627,
427,433,144,148,672,710,051,425,071,565,302,154,363,805,933,567,570,126,990,
788,129,267,214,488,088,537,537,445,856,876,935,039,090,764,020,232,531,523,
505,457,870,705,066,249,952,677,732,889,084,201,677,995,671,217,082,279,142,
311,557,434,246,978,600,533,881,776,470,274,688,386,377,029,382,889,827,721,
326,462,977,491,246,506,799,197,922,825,425,041,894,525,240,228,239,333,978,
728,484,004,402,503,000,437,283,676,284,512,454,445,002,283,242,809,424,797,
814,444,100,560,379,909,907,547,575,386,009,550,743,399,548,147,579,499,805,
173,422,002,084,798,313,739,477,462,740,588,663,610,279,748,591,037,625,012,
249,511,788,631,475,056,206,992,031,727,921,783,769,318,019,931,363,815,451,
624,263,019,995,326,908,533,835,640,323,851,686,439,913,797,102,686,474,574,
653,225,879,053,798,767,037,468,331,098,860,482,737,036,069,846,325,972,873,
567,252,195,012,398,790,560,338,841,697,254,501,512,008,634,796,185,897,216,
911,171,800,968,052,527,353,691,378,000,776,335,099,730,032,681,131,800,779,
751,259,121,740,306,902,233,364,067,565,987,102,376,322,348,369,724,928,412,
954,047,515,448,662,208,552,346,680,683,514,074,444,049,263,554,832,603,942,
338,725,167,182,014,657,312,198,787,487,022,272,513,037,491,000,099,307,476,
666,215,874,078,236,426,786,359,529,208,228,994,712,959,960,904,274,327,570,
649,026,310,864,542,045,663,599,197,171,706,590,296,845,390,577,716,181,370,
039,160,032,225,147,362,423,789,675,840,068,937,517,065,432,558,630,818,367,
658,776,370,231,468,467,786,791,244,716,855,594,487,713,954,132,905,054,965,
831,579,970,437,697,600,886,463,806,129,358,678,438,132,901,646,755,923,760,
501,052,347,906,952,279,770,096,311,022,567,403,188,783,457,950,284,097,540,
113,726,326,261,813,012,499,372,101,359,951,772,023,495,811,808,183,125,576,
847,003,963,095,823,459,403,984,994,148,047,079,707,348,259,063,350,395,208,
305,641,193,232,914,655,466,268,894,515,973,855,348,233,391,792,887,458,084,
013,034,956,216,461,586,561,990,126,054,143,231,803,595,416,783,520,817,110,
027,633,219,117,012,994,487,511,934,129,611,235,798,167,433,117,882,014,520,
539,041,152,894,022,887,352,448,512,810,285,163,901,874,990,201,142,496,756,
350,696,593,968,334,672,655,585,663,556,611,051,849,073,103,366,946,113,775,
943,130,280,948,829,551,861,842,966,238,470,604,403,042,332,676,339,858,897,
056,216,732,719,471,174,225,951,528,705,617,427,164,912,632,250,533,471,047,
822,080,020,529,393,050,313,850,430,570,612,189,527,388,557,782,904,977,787,
555,492,787,602,984,810,586,407,483,246,048,196,295,814,061,160,379,116,304,
016,638,774,129,915,362,404,834,200,774,739,122,033,946,007,756,355,313,399,
275,539,133,064,763,152,961,393,079,838,311,936,373,004,798,961,730,943,757,
077,796,406,654,669,414,174,468,799,347,253,172,729,569,188,777,933,953,282,
825,215,344,943,771,029,102,321,667,176,681,525,088,076,372,221,293,043,728,
932,345,313,903,723,335,781,496,532,998,255,089,140,662,425,171,055,745,330,
761,266,673,222,757,409,810,983,055,678,681,739,656,751,571,613,684,985,187,
696,721,822,541,237,040,964,817,837,950,599,217,475,540,304,734,494,475,878,
728,847,323,227,270,611,232,493,707,270,700,539,189,187,649,375,272,336,338,
988,221,371,565,166,710,748,200,778,506,933,222,781,497,795,184,748,493,105,
076,866,404,662,456,584,728,648,648,876,185,170,455,946,879,608,681,833,502,
227,162,661,998,034,710,711,499,755,468,835,714,339,597,909,068,335,304,373,
762,503,745,682,949,449,254,210,316,655,723,891,692,461,159,941,604,904,156,
653,847,460,948,858,372,501,637,918,992,401,033,793,134,964,762,688,125,387,
830,858,576,586,932,645,698,398,619,702,398,411,823,149,249,481,174,075,595,
473,958,618,696,795,921,359,103,278,850,278,931,574,617,148,268,307,046,960,
189,535,796,757,878,903,609,551,969,892,080,373,821,505,019,413,105,774,197,
639,079,529,805,125,289,316,209,215,653,303,848,428,757,427,483,186,681,788,
198,186,861,759,647,588,852,449,606,549,404,576,123,490,259,850,275,307,417,
321,003,502,591,445,106,165,848,813,366,185,680,396,564,060,359,949,247,866,
194,323,911,362,156,082,222,301,795,906,472,656,328,143,534,259,867,572,404,
792,018,794,824,280,646,770,116,318,214,961,109,146,527,007,467,443,961,956,
299,649,833,962,434,254,615,176,772,326,475,283,652,908,749,624,980,355,140,
996,011,168,265,906,818,804,584,841,928,830,293,921,396,589,783,709,625,489,
202,639,254,809,439,068,246,933,582,938,872,445,074,295,476,786,154,121,831,
156,332,752,466,877,476,283,839,385,563,010,482,388,499,572,820,153,177,288,
111,986,350,555,824,695,666,413,116,525,829,920,454,688,793,591,906,502,214,
858,627,923,188,536,000,352,245,506,133,269,110,202,506,892,483,499,147,046,
627,079,920,811,445,625,396,647,053,094,364,943,369,910,720,567,299,997,050,
110,366,432,793,357,073,477,860,399,020,820,521,998,425,779,738,179,452,517,
130,579,108,320,368,817,781,073,556,801,519,859,990,363,315,050,930,286,398,
989,716,478,711,253,508,432,530,601,744,178,101,348,903,976,137,211,949,046,
284,563,884,258,833,113,690,597,778,861,513,886,158,026,858,223,163,185,390,
254,240,870,449,717,482,060,719,923,368,217,792,881,978,697,044,993,208,315,
244,329,828,821,249,112,192,905,801,381,765,022,822,470,165,681,584,896,963,
099,223,922,696,902,918,220,659,561,274,451,983,991,926,143,737,047,463,256,
935,896,713,020,653,896,689,155,092,840,528,478,907,184,064,402,920,884,392,
707,531,276,737,813,192,888,563,114,327,236,519,128,940,658,759,142,764,205,
123,077,737,452,115,703,411,012,972,790,910,085,177,377,834,115,984,590,472,
842,964,831,671,711,012,416,861,910,853,563,046,394,502,278,736,066,307,053,
011,285,724,630,479,449,434,799,458,184,045,034,316,951,066,272,071,704,864,
508,109,369,834,714,079,933,372,525,518,862,986,820,206,931,736,038,145,502,
851,754,779,491,389,380,201,598,695,436,267,884,874,814,157,009,669,349,251,
816,922,899,989,764,433,211,767,074,446,834,290,021,183,771,796,983,756,441,
264,845,496,007,180,727,127,834,329,813,714,980,623,530,899,622,324,012,298,
453,754,539,768,492,164,906,738,197,853,846,814,612,342,878,870,420,432,785,
053,542,856,294,701,731,997,407,125,972,185,749,535,420,614,221,489,519,179,
841,061,484,228,626,836,989,115,042,161,113,295,010,175,633,841,713,008,099,
267,048,624,453,163,900,662,190,136,358,586,366,029,585,242,471,507,991,418,
121,161,094,927,337,217,238,588,245,415,589,466,952,278,444,086,093,546,938,
767,379,162,135,847,945,189,802,358,609,901,987,490,336,958,654,522,936,955,
315,800,332,439,764,514,583,492,351,011,349,620,006,366,488,349,619,464,593,
973,087,100,292,161,118,047,094,258,635,183,673,665,327,446,748,276,080,725,
061,814,600,631,137,967,493,995,052,543,454,795,965,819,405,046,369,197,838,
848,769,488,454,960,018,141,885,964,574,276,274,430,973,122,807,380,664,860,
901,455,645,704,499,386,017,708,236,352,258,921,878,571,055,858,812,477,689,
851,497,005,651,901,174,483,089,585,305,793,358,719,653,468,726,570,594,043,
546,316,398,879,655,070,856,313,397,725,269,479,473,437,675,952,889,584,053,
943,769,707,875,333,222,528,372,809,541,651,901,774,535,605,907,100,920,633,
082,264,886,460,811,213,934,955,984,384,460,207,959,606,826,847,997,109,060,
230,152,986,333,137,199,338,427,942,838,583,925,155,446,546,883,548,034,304,
768,195,541,560,240,266,910,565,829,219,618,873,869,857,535,982,101,145,213,
784,092,892,979,880,328,914,071,927,802,909,010,281,154,231,236,585,749,196,
898,274,299,229,640,860,883,934,779,509,446,193,235,861,961,323,343,194,063,
776,698,359,042,607,769,200,313,700,521,998,326,741,711,119,876,284,968,271,
078,005,656,025,128,549,414,230,163,294,168,828,107,383,309,266,465,190,654,
420,371,401,912,737,387,421,181,814,136,265,119,365,363,314,608,317,772,779,
621,077,320,006,632,657,824,249,957,216,119,084,546,470,004,663,019,002,294,
223,348,607,808,130,447,758,722,091,684,189,733,117,814,209,496,528,173,679,
654,794,013,560,521,023,629,121,781,890,656,862,078,264,837,931,035,581,309,
205,135,298,178,875,138,304,817,529,261,596,864,011,857,342,621,134,622,982,
436,340,156,830,999,529,224,893,529,894,179,946,600,520,146,271,771,653,046,
594,562,604,434,770,839,590,153,105,061,058,335,200,956,503,694,160,440,516,
982,538,950,500,282,911,153,850,525,301,684,682,562,335,623,155,824,773,648,
618,564,598,733,926,134,663,103,816,410,572,844,987,896,497,363,545,193,392,
434,284,563,232,210,716,010,309,289,308,462,643,107,043,203,138,386,611,968,
795,684,507,881,640,553,072,008,677,573,891,000,650,336,958,388,116,587,772,
336,542,643,611,189,130,831,807,584,629,124,804,796,923,766,790,218,413,900,
486,988,936,351,372,793,896,273,082,691,854,046,541,838,762,256,168,882,120,
126,990,157,499,231,910,083,496,585,987,483,930,309,310,662,645,749,960,329,
680,206,219,154,475,103,186,071,432,620,597,090,335,986,697,398,152,527,071,
994,814,802,112,897,364,822,435,751,170,385,513,927,195,379,722,540,230,527,
956,468,648,293,154,813,068,245,090,950,880,992,913,184,064,683,025,422,088,
162,588,123,198,464,122,120,482,027,390,775,696,742,296,128,898,004,544,682,
302,019,413,984,878,380,905,677,213,245,201,496,555,831,618,270,070,242,942,
756,235,685,310,851,114,413,647,566,632,517,716,109,600,671,635,487,056,559,
637,117,683,132,506,830,911,451,785,262,392,034,340,658,416,370,819,152,898,
971,741,794,179,031,885,376,322,165,850,645,397,557,230,148,656,909,245,091,
173,245,049,926,752,792,529,989,656,847,808,162,513,797,697,997,506,037,864,
178,277,428,081,434,283,636,518,073,005,491,993,061,270,543,098,908,799,327,
510,993,924,062,062,989,467,528,968,031,380,101,820,903,791,461,307,397,728,
395,980,287,347,056,309,266,540,587,635,545,030,204,647,027,295,380,124,436,
182,058,818,802,083,852,608,783,434,521,474,640,681,895,842,451,921,236,042,
929,370,524,202,126,324,816,576,892,120,328,233,138,749,232,442,020,773,140,
450,183,911,811,842,807,475,262,091,284,173,508,289,038,937,199,212,470,684,
298,243,658,892,030,664,097,835,696,095,762,158,630,336,476,478,199,932,369,
053,221,530,422,148,268,743,441,522,839,239,167,225,512,130,771,691,599,603,
631,058,211,662,405,670,991,499,814,423,227,016,457,966,104,666,429,428,384,
755,172,202,147,300,763,929,035,613,518,415,524,072,833,581,683,935,967,346,
042,711,826,209,468,915,826,645,199,510,590,527,428,194,584,231,288,031,003,
204,907,505,798,035,103,178,818,547,965,575,275,126,808,837,253,498,026,486,
952,601,914,738,680,004,471,774,350,840,149,558,716,828,785,349,069,483,093,
744,024,344,537,372,606,927,957,660,343,985,784,336,293,696,281,040,916,335,
898,992,309,286,485,223,112,771,984,240,552,438,432,694,245,408,470,503,215,
334,897,362,340,745,744,026,560,953,442,859,961,978,391,861,996,886,155,628,
080,565,787,078,348,485,198,359,172,764,577,671,933,254,370,237,510,450,486,
142,124,980,551,063,789,852,576,246,556,331,073,018,738,962,193,985,751,247,
372,009,031,748,561,081,457,502,831,410,321,670,080,857,223,205,377,427,836,
515,600,426,847,711,030,816,950,979,368,287,228,694,860,683,868,362,763,899,
848,583,530,540,224,484,412,813,092,448,462,986,805,402,496,266,492,003,663,
835,423,302,463,987,580,774,809,319,531,998,738,634,482,222,362,595,650,674,
841,136,342,792,972,175,715,101,358,486,927,809,881,115,037,014,111,696,649,
986,738,924,160,928,532,602,122,981,970,446,708,730,459,342,940,814,351,059,
209,720,838,472,083,167,710,222,909,277,173,799,468,519,274,693,369,256,788,
590,393,875,877,369,674,198,960,364,142,977,311,863,597,902,378,071,401,474,
892,978,837,560,359,660,296,032,757,230,731,017,713,235,508,561,558,299,565,
139,618,296,347,744,124,702,236,178,990,255,118,008,168,752,109,810,433,399,
214,338,614,488,722,964,952,087,429,202,339,237,737,617,079,947,072,256,990,
973,006,433,174,948,966,074,048,529,484,208,680,420,196,927,720,419,492,976,
620,781,244,465,681,726,058,121,571,869,686,329,795,578,277,478,512,021,329,
219,645,084,960,522,051,723,895,965,373,633,286,835,604,049,068,088,240,747,
724,504,576,487,715,700,752,701,389,132,958,929,027,728,615,154,029,382,895,
237,282,771,832,333,285,974,185,590,908,246,942,286,319,414,538,959,482,839,
097,026,495,268,980,617,374,278,739,436,122,438,547,816,707,403,739,506,968,
568,716,328,964,029,033,039,861,499,405,429,381,772,421,526,726,290,614,036,
553,259,513,319,532,248,773,470,666,057,816,165,972,367,735,254,114,905,036,
011,902,651,054,669,644,082,039,496,046,365,168,350,769,285,006,618,619,408,
288,712,674,516,331,040,859,980,003,260,482,969,171,199,831,150,165,331,681,
685,138,803,532,915,955,150,755,842,060,575,629,377,841,201,666,240,773,310,
240,719,219,983,770,442,167,148,207,183,034,897,919,462,256,686,618,691,580,
446,823,173,208,159,787,333,360,588,654,815,970,549,065,218,768,365,329,479,
009,564,150,074,072,570,092,121,627,626,462,411,356,836,261,696,012,807,122,
360,306,479,565,202,469,510,386,836,012,006,421,835,921,803,476,874,286,656,
966,718,413,733,215,685,042,194,824,093,763,365,761,953,848,395,037,273,086,
560,479,773,048,200,269,317,670,973,348,553,241,638,462,715,755,843,069,511,
802,526,814,203,061,613,531,525,795,291,575,207,782,291,958,740,754,654,567,
345,527,296,248,500,576,493,700,784,891,972,265,963,171,693,653,596,153,192,
760,219,492,084,472,836,117,195,164,031,053,691,338,023,321,493,608,003,563,
785,635,369,197,866,726,212,440,044,739,529,843,889,343,741,758,768,149,433,
558,091,777,081,844,494,215,276,670,181,410,651,215,576,468,668,134,958,346,
134,110,689,303,055,705,404,993,205,963,901,258,037,121,474,491,806,273,952,
671,759,390,945,436,156,743,524,838,850,263,856,469,257,518,269,705,385,167,
294,607,739,778,528,092,315,038,107,945,811,756,091,636,559,001,281,075,432,
401,044,324,896,632,459,307,335,446,619,568,752,738,121,246,306,590,375,971,
677,981,808,065,676,658,970,872,186,135,329,757,452,253,248,123,663,913,521,
074,921,107,147,016,690,302,219,848,847,947,478,243,470,377,110,988,506,077,
385,559,547,322,463,001,710,108,267,121,723,558,120,949,452,392,485,591,579,
577,808,243,725,048,741,139,474,148,484,774,796,099,296,040,238,192,280,913,
008,056,372,835,383,220,610,855,507,897,002,112,775,159,467,535,841,449,305,
681,337,135,503,370,977,430,232,733,138,192,937,423,112,016,765,547,028,173,
430,631,671,043,011,238,544,281,644,783,983,323,789,094,560,661,812,620,472,
632,855,669,914,594,588,394,783,852,031,984,812,238,904,305,022,649,237,088,
441,072,868,795,618,686,058,466,546,358,493,778,986,064,361,197,700,426,957,
502,718,535,330,365,281,562,386,500,369,885,764,086,313,572,689,238,561,569,
294,781,821,520,426,768,407,450,798,295,418,394,092,099,302,704,114,923,730,
811,376,298,103,228,841,728,075,100,406,933,550,529,785,194,907,313,111,613,
237,229,681,309,542,754,825,865,365,189,136,598,064,168,017,792,292,891,413,
560,207,366,956,784,971,852,929,929,391,233,434,957,615,675,656,336,026,175,
945,677,039,439,833,887,833,945,836,628,141,597,363,792,837,349,270,507,876,
349,825,449,116,792,660,658,907,258,012,580,677,286,826,939,517,046,022,326,
370,058,613,114,042,907,060,543,083,744,668,432,089,407,111,583,301,931,334,
179,228,604,984,052,851,543,922,548,071,935,494,891,308,119,102,874,233,672,
909,483,724,805,072,254,557,721,797,062,271,163,237,992,654,084,149,372,165,
237,847,111,405,411,694,593,286,785,574,571,451,678,848,585,264,220,383,435,
670,443,562,627,897,322,730,802,595,226,829,401,899,597,661,804,369,518,346,
065,470,666,985,270,695,139,656,877,787,039,589,561,004,915,084,554,109,744,
024,838,079,162,241,444,396,643,103,985,756,594,977,869,726,010,136,975,309,
194,793,763,954,180,367,367,859,438,759,601,214,541,260,024,324,304,491,818,
588,143,080,391,972,861,621,039,203,787,838,019,512,109,998,602,436,458,240,
789,197,894,296,769,615,545,218,819,905,927,233,909,643,387,315,545,818,649,
680,263,729,433,456,801,420,557,947,180,883,970,837,343,302,409,221,495,301,
168,485,658,112,202,618,068,536,473,533,106,729,181,740,306,787,153,187,402,
104,445,377,297,912,064,359,032,672,260,251,211,550,343,315,670,034,040,731,
837,965,068,653,664,399,557,832,890,592,950,695,919,812,315,336,261,595,963,
956,241,587,124,034,634,564,819,833,659,099,868,165,521,007,920,496,534,255,
519,765,970,870,615,969,011,577,582,489,557,847,375,333,390,824,565,522,183,
983,189,449,083,832,831,711,279,876,312,750,531,232,281,953,198,308,726,455,
486,530,898,497,775,699,851,382,700,365,805,797,012,670,276,610,964,512,677,
814,963,046,236,192,951,982,642,033,317,517,121,057,818,959,568,191,963,560,
543,697,117,277,454,704,715,975,397,825,792,992,337,734,271,114,132,455,820,
389,085,533,946,469,776,668,112,083,298,129,686,038,550,011,972,008,766,131,
003,424,091,830,526,311,218,642,054,913,320,753,993,665,009,834,680,081,581,
406,534,240,771,026,792,919,768,696,705,695,675,358,505,663,614,783,159,955,
283,110,887,519,886,707,591,952,706,150,124,112,928,941,042,435,820,556,812,
873,487,039,278,985,278,118,385,878,138,013,426,521,857,032,643,092,416,206,
888,317,591,487,534,246,441,406,067,558,813,876,416,699,836,523,880,608,543,
706,855,624,626,425,828,235,781,816,873,223,749,986,469,971,253,639,164,106,
723,047,184,569,508,954,656,847,768,914,263,619,609,467,566,023,123,943,045,
691,948,204,070,810,985,869,524,386,667,441,358,252,813,759,170,682,367,321,
241,436,166,680,271,324,247,071,801,556,437,246,427,470,170,863,370,051,429,
771,959,383,012,081,388,138,983,384,100,796,084,126,107,300,735,360,341,553,
737,060,889,770,265,770,550,412,034,046,286,649,348,983,239,067,064,478,322,
254,116,086,978,345,077,910,257,888,947,638,776,648,110,668,415,818,367,074,
511,515,790,576,094,181,557,569,514,771,625,143,213,270,617,262,951,160,815,
255,352,434,641,627,384,475,635,202,135,532,718,143,633,119,637,768,667,570,
336,757,323,890,843,504,199,165,234,678,899,429,167,343,961,518,288,635,547,
172,263,056,384,149,357,225,025,189,660,547,801,142,435,978,596,646,017,799,
725,994,570,041,389,186,625,001,459,432,197,890,456,450,479,494,157,795,707,
168,000,282,336,564,745,253,193,611,302,917,176,781,774,428,225,307,059,353,
288,614,435,479,593,625,991,954,599,958,155,466,914,660,337,038,144,334,626,
173,441,229,824,412,184,764,789,463,988,861,595,370,665,984,455,805,084,661,
146,368,929,377,770,285,919,815,912,594,145,737,889,516,543,084,783,261,013,
818,657,967,988,771,786,720,672,477,221,758,098,779,577,364,034,457,372,424,
749,867,291,610,664,168,303,354,165,613,653,635,670,211,660,461,999,754,376,
705,847,515,394,896,913,138,121,562,325,848,861,630,147,896,077,654,933,017,
200,543,606,426,079,949,358,617,111,720,171,994,907,862,023,827,900,616,723,
715,857,210,927,428,527,976,362,754,865,527,365,074,882,345,122,176,854,259,
645,894,563,479,629,269,024,627,684,211,208,285,748,191,442,062,196,698,686,
961,759,400,477,364,063,116,160,239,244,494,191,912,213,508,982,844,771,775,
861,284,917,427,048,645,265,055,608,824,488,296,077,383,612,649,124,027,093,
363,985,777,889,765,247,287,116,985,198,951,767,752,296,061,805,481,288,335,
528,191,743,985,611,120,836,942,286,012,023,787,579,492,312,954,126,116,614,
394,458,504,467,946,592,419,080,932,350,948,985,862,694,483,815,819,005,965,
253,035,108,634,327,161,960,096,669,691,802,441,445,178,611,514,630,003,449,
540,054,284,589,953,841,826,665,579,573,747,288,364,922,567,721,849,383,452,
285,755,797,780,499,919,976,193,977,302,243,335,661,098,526,637,229,606,253,
200,485,925,469,114,770,824,456,508,604,985,132,624,831,260,595,341,940,924,
750,677,796,417,323,242,469,127,425,028,993,992,872,808,405,540,292,597,918,
314,247,231,445,442,595,480,008,833,946,499,822,284,967,389,158,803,783,907,
677,886,994,396,615,853,201,459,251,936,181,209,725,706,637,147,699,163,335,
906,293,576,894,476,567,183,184,403,160,348,165,967,594,470,760,515,595,783,
966,534,232,356,734,326,872,672,363,152,898,694,137,748,748,548,544,081,618,
461,492,032,911,557,534,728,543,587,838,611,352,718,274,368,417,613,260,786,
678,746,479,807,698,405,626,025,007,540,575,664,118,113,968,607,570,826,247,
979,418,165,317,880,520,816,229,544,967,622,661,287,607,719,626,724,613,581,
943,162,120,989,422,214,298,439,977,502,824,077,554,976,033,006,222,440,479,
422,987,349,812,942,617,344,157,327,765,641,291,303,940,689,791,819,782,478,
711,325,191,682,781,986,003,584,638,766,740,617,931,887,688,331,726,799,030,
999,591,142,182,844,566,719,895,286,811,599,334,069,783,562,105,728,839,721,
329,271,356,035,191,562,188,868,159,712,335,296,515,776,401,804,050,834,985,
163,058,279,730,050,285,188,268,665,992,347,820,294,615,284,875,059,814,158,
035,284,602,082,008,072,560,501,722,716,927,724,904,410,345,283,721,629,907,
863,504,277,791,994,194,257,650,314,915,963,739,848,466,335,610,303,239,309,
783,111,256,130,286,240,277,939,149,704,322,826,634,459,928,716,899,740,164,
457,850,677,806,324,611,987,211,446,208,207,265,022,637,990,877,757,260,005,
139,636,045,909,627,330,236,908,034,367,843,503,167,442,755,935,859,930,599,
886,610,112,449,674,701,661,088,956,392,541,202,817,071,165,642,958,288,102,
367,264,176,840,189,753,547,906,465,455,799,190,514,884,481,412,429,546,702,
941,404,018,897,520,505,559,307,926,291,081,980,568,964,048,247,037,645,641,
296,137,042,638,786,213,667,549,080,053,294,388,600,146,385,698,862,409,973,
823,062,506,509,435,180,630,587,011,272,972,161,678,736,031,559,609,326,015,
755,163,694,158,311,246,493,298,795,964,726,016,234,025,775,028,583,691,537,
675,259,449,676,706,320,257,782,499,846,390,644,305,545,990,917,307,303,708,
397,496,769,833,810,105,241,770,921,474,679,985,174,277,180,130,321,602,612,
596,746,273,747,662,193,506,324,873,121,311,964,226,734,810,755,799,419,204,
100,122,787,636,848,988,063,494,104,645,134,628,219,134,218,945,418,904,758,
016,874,928,698,436,075,382,425,372,541,127,473,443,902,308,379,787,982,918,
440,217,930,936,924,409,723,118,072,655,312,557,850,910,424,538,672,702,569,
051,656,057,107,801,218,212,163,525,049,390,461,777,552,228,584,220,354,863,
604,773,567,442,827,757,957,374,260,922,165,455,855,284,398,719,962,880,928,
029,131,811,380,117,290,460,351,803,082,396,286,986,234,749,839,434,735,779,
269,329,465,415,633,535,966,944,111,099,928,860,159,983,946,124,606,541,725,
358,003,973,034,227,114,403,201,171,669,796,606,046,699,602,592,620,662,221,
382,919,290,310,927,698,848,511,065,258,581,553,142,202,611,102,292,106,012,
601,967,987,633,136,370,378,514,773,604,716,525,886,844,730,724,330,471,151,
132,314,673,279,517,263,527,803,270,337,875,144,554,364,711,231,754,861,434,
599,127,984,919,936,899,423,679,296,758,324,828,093,607,234,529,330,153,907,
786,162,307,504,038,855,481,372,004,820,871,029,402,440,540,940,654,393,710,
627,392,228,134,589,833,204,649,720,000,194,079,046,680,781,351,572,793,539,
896,003,546,844,252,789,222,678,991,722,283,716,469,130,495,620,856,674,298,
284,366,228,640,096,771,628,989,112,374,784,019,714,161,596,217,264,741,376,
414,807,795,844,886,934,885,463,218,279,544,336,403,924,406,227,163,834,073,
883,801,615,844,447,329,559,196,599,043,046,212,999,329,654,531,725,333,594,
988,757,995,335,894,097,840,285,874,842,921,554,205,758,101,829,302,501,548,
719,979,250,143,514,320,211,340,425,967,095,540,142,278,538,063,540,263,169,
055,321,615,029,430,079,387,322,266,389,373,235,814,294,121,170,234,544,178,
065,651,959,720,740,301,981,861,251,215,975,875,258,713,871,081,107,640,672,
664,644,486,760,046,483,488,108,281,922,802,646,210,525,853,841,397,916,660,
334,269,879,565,212,128,147,897,861,821,066,684,762,772,259,782,354,551,732,
845,206,906,236,323,231,860,299,301,409,460,523,366,178,134,751,579,608,952,
871,197,706,736,344,776,591,015,046,949,575,365,883,272,653,764,856,033,878,
078,835,956,623,203,154,132,347,910,015,690,908,120,352,768,619,183,594,304,
374,212,054,105,312,071,665,609,998,120,168,967,824,191,711,426,779,043,950,
114,009,355,629,121,649,771,435,380,843,710,370,483,805,131,199,331,281,737,
897,302,205,812,364,945,330,878,880,071,149,908,257,127,346,931,837,094,821,
796,824,564,197,585,103,382,464,063,906,447,691,400,935,220,888,356,964,337,
879,259,759,818,412,170,847,271,536,760,253,403,341,978,234,354,074,795,585,
084,848,848,590,950,383,089,762,809,425,534,468,736,813,826,724,113,810,436,
947,927,181,839,425,169,840,150,522,688,856,363,946,172,676,158,953,275,577,
646,758,942,861,351,986,452,100,896,343,284,587,083,248,318,050,369,416,468,
758,378,786,111,975,506,222,336,384,160,841,066,007,428,968,217,284,230,509,
801,775,546,436,802,147,290,612,191,950,122,964,019,355,847,718,283,738,252,
083,024,426,718,569,722,314,764,139,479,252,208,525,156,169,106,391,675,878,
393,692,462,782,887,092,151,500,617,873,081,324,791,688,509,010,691,746,936,
397,632,119,151,530,231,202,323,691,281,955,491,143,749,839,865,219,996,951,
049,342,410,991,025,064,080,369,672,804,332,588,095,603,484,816,299,249,328,
853,376,659,990,602,911,218,760,672,677,306,783,969,280,104,941,922,582,577,
799,667,219,105,989,507,709,000,984,547,095,795,537,226,857,818,708,031,146,
792,557,406,278,312,073,156,201,545,113,683,384,907,009,070,648,197,260,535,
074,523,673,493,249,946,491,178,675,446,527,464,551,643,348,361,441,509,005,
954,724,469,602,501,387,907,520,410,806,237,972,956,673,434,744,077,884,961,
901,435,866,723,312,914,693,129,068,792,483,020,208,731,295,137,932,327,031,
716,959,076,022,066,183,058,877,279,017,996,519,964,126,395,909,610,501,594,
786,216,003,396,136,042,129,394,631,973,819,023,560,424,789,216,681,283,530,
890,025,942,039,738,540,823,685,543,814,566,921,578,335,226,078,479,389,856,
800,234,756,637,293,491,681,632,612,281,923,699,152,867,412,240,996,568,852,
300,584,206,276,857,870,510,405,253,169,998,361,118,000,357,668,188,519,353,
581,144,017,041,620,887,886,310,383,496,592,680,983,497,159,968,584,068,212,
581,283,588,867,571,538,193,747,557,548,159,494,763,396,208,658,441,832,098,
590,259,560,337,529,844,465,444,764,225,403,788,210,345,323,541,761,788,181,
357,365,420,180,804,209,020,084,878,939,123,825,245,065,079,206,392,149,249,
310,503,845,293,685,433,204,428,465,101,860,786,165,342,072,413,865,320,035,
334,123,942,846,392,302,759,680,322,828,200,448,370,446,842,765,404,725,048,
745,807,704,591,060,599,177,690,059,250,345,338,037,685,908,043,382,693,796,
638,358,177,089,920,380,207,932,561,874,249,101,633,182,803,684,739,841,584,
413,185,611,547,059,072,297,296,259,472,726,859,028,836,669,691,065,669,903,
352,535,508,997,243,710,774,951,484,532,237,023,332,844,203,067,072,275,193,
034,830,799,275,644,953,274,898,898,328,005,965,329,583,707,008,650,247,914,
713,465,983,701,199,093,952,006,267,640,370,809,639,830,576,129,237,702,919,
956,435,159,981,210,735,844,723,115,601,909,036,187,357,126,504,503,098,765,
091,049,923,198,108,738,187,252,345,417,990,949,988,405,852,627,802,184,742,
643,454,833,059,701,081,272,906,314,636,179,851,847,942,546,501,803,604,469,
084,319,529,412,719,669,276,255,934,376,305,810,470,355,781,803,919,472,434,
259,068,393,187,097,822,328,328,906,652,990,827,683,964,882,296,473,129,607,
796,830,427,096,487,432,347,140,092,718,153,851,019,135,090,502,235,797,646,
263,666,124,089,235,415,435,197,655,768,121,176,101,875,198,950,121,754,532,
432,659,038,063,566,015,210,153,973,960,995,737,300,025,567,193,347,249,866,
192,593,817,656,077,413,470,532,500,628,671,589,548,929,048,197,330,150,961,
810,298,852,729,515,577,329,156,608,111,853,768,442,211,523,481,617,691,150,
416,019,145,714,939,981,078,882,487,973,436,148,278,955,710,046,952,546,431,
497,141,031,123,059,050,350,824,175,905,038,581,220,643,792,849,341,859,175,
450,086,245,190,863,888,209,844,884,503,667,456,216,646,896,491,261,352,832,
060,525,237,766,947,913,778,917,094,715,100,659,348,100,004,415,431,290,425,
767,933,823,612,551,529,400,438,175,127,156,450,167,564,139,209,327,471,047,
641,950,380,259,433,211,639,756,557,826,242,581,102,456,765,934,805,457,474,
754,013,618,833,564,515,746,033,563,513,926,324,508,259,731,541,581,598,620,
855,047,638,887,535,361,798,309,975,822,431,892,370,972,848,741,857,382,131,
164,610,533,079,422,969,378,913,621,622,822,679,281,210,164,953,947,730,390,
470,107,162,193,720,256,100,890,413,221,715,598,887,947,857,421,980,878,875,
302,286,907,892,879,974,398,458,246,648,110,891,851,978,012,849,300,018,939,
803,208,037,151,485,078,909,212,061,274,191,074,141,705,025,962,836,662,839,
481,991,303,142,215,563,093,863,711,927,043,930,560,837,586,984,052,095,937,
220,939,131,884,732,365,540,288,751,004,697,775,690,416,165,295,953,523,755,
740,893,556,328,447,609,288,465,931,789,594,681,210,469,627,564,963,214,427,
124,210,815,755,025,066,387,049,017,723,924,542,030,665,599,654,478,859,402,
148,847,070,092,338,931,146,994,249,937,325,845,104,729,998,444,649,293,702,
412,600,126,976,341,000,550,214,990,691,618,760,992,478,569,049,245,827,154,
303,439,409,499,848,372,377,012,570,008,743,344,342,433,424,410,617,746,663,
507,670,881,407,830,615,915,095,548,822,819,652,207,908,615,215,237,577,207,
725,987,655,197,577,829,210,999,143,304,292,951,250,157,292,268,844,001,523,
963,108,793,005,260,652,984,849,259,691,982,966,440,280,893,260,590,473,638,
931,635,895,695,418,725,278,380,916,908,213,794,521,112,534,612,076,172,179,
244,695,695,632,437,616,731,473,149,240,743,053,852,676,167,691,126,488,176,
939,845,844,493,024,254,990,111,591,447,171,621,947,742,719,987,053,593,931,
728,089,653,777,656,660,407,615,567,696,576,645,103,064,690,079,504,451,800,
851,551,848,322,205,366,998,335,881,549,136,767,362,665,832,022,298,295,245,
430,053,580,579,830,461,464,786,451,227,453,227,692,962,137,060,772,195,970,
068,506,641,528,287,916,929,224,151,542,008,310,119,634,116,185,983,638,921,
544,451,703,102,834,770,306,223,085,176,085,868,540,734,142,392,597,947,851,
040,164,353,279,366,172,418,445,734,595,691,150,471,449,139,807,015,795,278,
705,321,969,718,939,334,744,189,881,528,172,726,654,777,903,298,697,292,943,
738,438,665,059,889,112,243,509,410,295,505,995,183,149,524,683,611,326,282,
964,442,258,660,398,752,353,729,050,160,021,978,895,945,696,296,582,442,659,
433,472,715,470,528,207,442,552,711,053,942,855,945,012,138,895,126,996,306,
232,267,449,772,158,601,469,597,186,195,885,586,176,760,431,765,814,891,442,
744,439,033,884,543,194,415,810,947,669,881,517,936,198,930,797,939,400,582,
221,230,357,840,049,811,520,488,835,664,732,545,031,229,679,024,017,168,561,
569,968,624,002,734,173,426,999,541,573,057,234,627,536,275,515,023,974,374,
630,491,810,416,251,794,058,929,634,181,994,993,982,738,323,570,771,070,560,
432,350,606,134,257,743,270,579,450,039,033,515,205,940,762,549,433,329,312,
096,860,790,769,871,034,315,886,112,612,052,323,670,379,897,371,146,915,594,
242,649,961,444,803,950,989,944,035,034,653,627,380,533,655,165,204,302,734,
054,749,249,937,747,642,902,222,053,318,490,181,215,854,449,633,628,756,985,
133,051,400,394,311,674,622,136,588,473,529,651,253,034,643,568,162,218,543,
829,874,603,063,502,330,937,972,206,095,621,629,577,795,513,660,120,426,792,
404,958,765,950,415,882,175,813,736,712,334,535,722,248,350,324,825,148,207,
997,970,919,344,798,218,492,354,868,574,096,112,576,803,682,276,854,303,374,
169,369,266,233,428,312,139,029,707,067,273,928,304,991,303,727,605,200,254,
563,049,994,820,818,028,648,775,529,998,317,255,683,652,854,963,332,823,516,
546,740,202,632,942,700,350,458,523,440,634,030,771,086,770,172,468,600,002,
874,313,999,069,486,934,221,589,164,935,757,899,742,738,587,530,779,491,585,
052,195,787,940,433,688,350,800,633,981,667,341,380,272,084,900,094,855,186,
156,138,911,541,034,848,173,009,723,478,387,341,238,688,467,594,837,851,584,
690,525,279,813,812,227,732,944,317,488,526,217,879,962,482,628,750,668,961,
883,441,844,072,865,302,336,923,536,003,125,284,408,129,114,019,357,812,205,
965,415,800,276,962,878,343,125,569,024,011,896,283,750,262,246,644,356,688,
213,283,147,022,609,221,721,952,809,655,940,799,006,184,669,046,177,263,326,
995,250,430,369,575,976,162,993,772,655,053,049,663,864,229,905,705,261,053,
138,351,558,182,082,258,125,291,289,089,784,090,723,500,764,869,989,474,670,
900,060,695,664,187,805,984,859,156,761,696,954,067,136,227,019,658,159,826,
026,642,096,670,898,023,447,310,132,832,884,743,503,622,123,089,708,681,378,
378,673,606,841,846,858,271,422,292,994,483,890,416,650,931,914,809,544,957,
676,253,534,671,329,584,359,763,697,391,256,941,185,759,235,982,521,659,970,
752,748,381,304,805,696,051,424,231,029,487,197,033,046,451,735,426,180,507,
504,782,106,471,893,053,991,772,995,932,048,464,755,470,523,829,377,230,874,
888,794,196,433,099,538,082,660,862,367,562,089,921,124,521,804,630,743,932,
142,038,429,496,029,323,369,641,863,873,684,760,525,956,102,755,921,824,819,
429,139,433,381,713,739,302,160,763,456,554,199,846,548,763,454,954,800,670,
363,314,782,667,030,820,966,493,958,364,599,945,553,097,814,487,963,501,859,
386,987,222,054,619,921,019,112,817,251,975,150,841,383,916,008,733,816,163,
884,038,835,683,953,257,557,306,193,341,815,720,589,885,137,577,705,498,257,
085,157,405,643,383,981,269,939,614,068,737,314,171,267,377,198,874,033,396,
065,715,338,166,224,086,986,563,717,253,698,241,754,921,181,226,067,962,293,
697,320,711,123,226,414,008,316,346,125,091,250,142,310,679,452,629,104,882,
236,428,667,019,574,862,987,830,590,972,760,671,469,092,175,388,454,723,119,
902,926,014,938,138,782,123,963,547,701,482,286,166,450,963,959,138,782,732,
341,269,500,408,585,309,593,451,579,833,360,816,365,817,853,302,654,040,302,
288,222,738,672,921,180,176,853,650,412,128,303,656,938,033,017,244,020,310,
352,011,002,193,272,670,248,765,298,822,679,115,895,823,612,241,352,709,895,
934,318,981,802,874,337,041,681,148,505,789,031,544,358,014,101,925,221,372,
938,571,567,640,459,674,629,254,762,377,230,307,668,262,606,459,985,311,948,
182,083,834,084,646,196,365,362,327,906,513,551,220,232,291,562,671,633,391,
457,317,864,936,139,599,044,802,937,899,400,218,548,960,500,420,111,381,218,
866,187,046,492,433,630,481,280,335,197,060,452,134,399,535,558,264,150,629,
089,725,606,344,827,156,100,141,652,081,178,435,230,580,747,979,149,973,091,
735,286,393,113,856,810,505,372,087,276,090,485,485,578,324,056,693,867,073,
071,856,719,211,939,337,514,558,647,535,538,679,842,850,313,056,849,164,713,
537,884,960,364,208,041,573,448,936,893,775,109,231,661,686,263,615,206,638,
892,407,042,089,527,791,961,713,071,143,281,230,040,587,339,595,046,498,427,
854,340,882,223,361,587,829,932,085,779,780,902,343,337,802,894,180,811,353,
336,354,720,345,660,273,222,868,658,649,120,978,233,092,193,515,304,709,394,
275,033,739,883,166,145,530,254,415,875,753,260,173,834,435,957,565,457,357,
142,080,633,348,437,011,389,296,926,612,363,364,947,976,245,892,471,001,114,
724,541,259,124,939,274,599,999,434,012,263,768,483,982,572,802,161,590,436,
024,276,641,810,964,743,014,371,037,330,758,640,977,268,379,779,171,608,918,
673,152,178,811,098,436,708,001,670,528,883,350,923,429,781,127,194,105,161,
932,593,480,862,081,364,415,281,186,405,534,935,568,152,614,856,115,953,686,
404,860,871,333,029,630,142,022,203,259,363,660,452,832,767,720,654,232,535,
745,701,534,283,352,655,168,258,608,812,520,004,104,517,434,572,712,050,215,
562,467,419,370,384,294,644,894,736,669,029,557,667,178,904,395,943,232,240,
936,117,697,404,159,188,406,265,575,830,313,281,584,378,383,461,465,306,941,
648,600,826,658,282,689,760,202,471,062,837,985,265,360,278,476,729,214,492,
525,148,146,957,288,201,757,986,999,099,148,585,126,074,411,297,007,514,186,
419,901,971,064,561,248,238,655,720,911,200,483,801,097,390,160,666,130,475,
836,591,004,166,923,872,205,536,183,451,515,280,683,861,285,910,293,405,523,
038,088,670,933,632,222,508,152,018,241,065,975,879,323,628,314,221,656,023,
067,025,473,661,460,470,967,640,070,132,416,150,026,637,713,103,747,733,116,
703,872,108,024,624,643,713,003,905,678,158,452,171,867,395,265,885,605,760,
429,496,068,638,852,655,776,712,181,704,771,798,321,855,129,662,480,141,511,
367,793,393,556,273,259,384,501,731,387,733,269,195,184,958,323,726,638,986,
881,407,779,158,425,920,612,953,664,197,753,531,497,048,171,416,686,990,392,
486,515,417,796,271,097,797,004,322,902,142,688,269,552,429,264,196,048,591,
925,444,965,923,861,283,733,354,729,179,121,968,564,923,743,615,053,015,878,
981,277,163,359,249,161,260,059,453,600,657,019,723,444,986,481,006,042,372,
953,109,272,351,702,194,389,582,006,749,791,098,207,103,696,044,831,156,780,
539,896,523,522,413,540,573,028,364,155,981,969,991,392,637,161,488,943,330,
301,385,622,671,707,212,991,235,634,298,173,662,439,144,123,936,907,352,042,
407,524,825,734,828,314,132,615,859,485,798,585,866,061,961,612,544,870,432,
207,431,852,162,427,461,222,309,269,624,200,337,032,358,077,176,545,705,911,
718,047,409,836,013,908,265,635,380,767,826,048,815,471,419,809,156,938,493,
451,365,580,361,944,902,443,013,999,106,030,445,355,975,829,590,579,000,788,
863,480,181,560,128,946,959,537,926,402,973,805,218,192,281,567,354,812,000,
059,409,242,958,487,406,600,239,112,800,562,624,164,021,673,785,365,133,767,
207,812,819,961,581,758,428,924,486,816,110,930,665,518,677,041,598,883,430,
166,798,117,640,937,897,945,132,443,544,293,859,748,407,860,620,382,814,567,
209,690,056,103,914,611,030,677,532,951,442,677,499,814,630,658,634,800,149,
502,028,675,695,315,269,932,810,730,277,392,007,336,877,486,107,683,852,413,
199,043,140,283,251,932,175,866,109,239,901,920,963,838,484,955,209,928,689,
581,377,740,019,287,351,238,837,330,715,510,721,811,895,164,157,815,110,027,
296,659,123,418,868,755,570,170,472,848,032,726,521,812,048,013,125,848,586,
876,509,980,108,507,056,032,493,475,331,102,453,349,900,383,824,686,951,487,
229,161,567,411,094,256,523,869,244,049,945,850,176,506,915,088,392,553,509,
508,233,582,951,672,603,032,953,039,454,843,545,525,851,070,793,765,497,164,
396,592,637,009,737,538,163,245,583,602,505,450,021,766,400,216,130,631,848,
685,664,284,759,104,176,371,323,506,875,809,275,865,939,298,904,709,246,349,
247,404,344,189,966,609,342,349,485,655,345,373,356,949,599,868,566,295,472,
148,830,868,309,275,116,353,125,838,943,513,613,624,184,310,204,135,420,017,
276,136,111,042,108,230,060,417,482,762,167,435,404,714,496,304,138,558,344,
537,421,134,421,099,569,649,698,809,617,448,780,648,457,487,278,116,692,114,
728,744,440,461,369,905,026,275,507,241,088,916,325,865,537,644,614,431,163,
334,145,982,883,921,556,551,103,503,969,073,833,005,118,909,421,737,377,170,
693,175,868,975,707,009,394,071,649,176,286,850,299,634,818,247,172,447,723,
643,797,816,834,536,460,425,132,012,617,907,957,200,196,046,107,994,965,112,
549,164,147,903,423,014,008,418,718,690,180,858,217,662,631,743,242,349,398,
503,718,831,999,724,217,288,665,109,082,219,078,881,626,284,973,149,112,364,
106,224,266,569,327,558,866,385,382,929,407,112,070,788,084,137,212,119,725,
759,029,123,503,034,637,877,198,144,220,286,836,589,537,505,526,737,510,074,
443,946,226,896,135,745,481,772,971,744,761,831,598,544,645,070,674,974,047,
969,930,041,311,748,763,780,251,632,923,646,251,474,792,321,830,750,896,360,
661,580,876,653,071,041,688,307,201,356,780,811,416,343,065,364,904,050,200,
610,942,680,906,046,272,288,173,930,660,682,997,948,895,840,406,091,346,863,
631,713,385,191,461,463,792,374,343,703,647,228,533,228,718,938,560,539,253,
371,351,956,145,412,450,683,430,365,110,946,222,429,035,418,995,546,202,229,
030,796,348,470,645,370,337,047,721,960,938,675,752,956,576,487,959,227,712,
942,943,293,098,764,939,038,981,569,410,848,945,918,896,522,346,915,223,518,
822,303,670,389,857,169,051,628,877,417,671,249,314,960,183,919,829,158,291,
448,955,742,280,235,981,562,563,765,018,903,633,684,898,492,241,530,355,138,
276,081,399,712,849,315,751,879,959,591,080,692,337,816,273,344,913,293,035,
295,424,408,754,116,431,299,805,953,246,925,010,600,962,260,873,729,152,725,
041,627,304,023,422,309,889,796,201,193,200,279,125,692,030,657,443,159,090,
288,179,070,456,859,429,908,911,217,316,545,755,974,724,542,235,191,675,964,
171,507,140,276,577,297,910,591,823,287,691,050,300,964,054,700,279,190,207,
773,376,871,163,125,832,636,254,179,288,234,000,530,465,236,606,553,144,869,
765,479,929,168,648,883,817,759,321,086,673,364,491,347,170,128,760,468,240,
570,680,868,751,195,026,148,339,685,638,953,032,187,257,359,309,998,900,089,
453,876,828,640,239,588,732,911,129,955,271,698,750,195,277,811,669,292,485,
622,520,967,553,901,880,653,938,572,932,064,022,667,115,187,335,818,533,002,
378,817,968,766,786,413,607,563,455,139,380,300,674,495,446,170,135,428,374,
529,747,709,486,306,518,626,168,550,925,626,676,118,354,568,902,276,844,805,
690,857,037,214,923,052,865,426,554,906,042,998,792,352,878,079,994,808,672,
772,322,889,053,839,328,414,055,900,379,831,938,697,108,452,157,969,902,039,
056,429,428,784,832,767,461,644,768,470,758,057,474,947,650,386,236,752,752,
376,234,397,219,118,517,417,170,894,966,191,150,481,503,645,055,782,601,040,
156,635,913,676,489,076,060,610,526,616,378,408,786,315,105,251,762,026,009,
508,011,037,043,470,466,037,928,897,599,145,174,065,117,619,366,814,353,711,
122,078,823,337,315,455,490,069,454,560,871,463,122,832,636,014,092,076,239,
092,853,960,772,342,922,139,160,103,476,158,415,415,528,732,623,058,722,032,
568,599,013,188,693,161,397,879,965,719,615,201,770,962,161,356,377,800,058,
646,096,637,986,263,237,735,863,547,209,295,919,172,456,164,374,677,435,177,
494,708,635,173,302,997,164,621,781,619,666,427,192,846,376,472,554,650,616,
697,414,185,946,139,779,084,021,928,775,348,827,789,024,100,580,392,636,923,
189,708,365,750,284,354,955,566,030,076,236,110,043,725,363,315,318,887,603,
190,253,480,569,572,653,824,748,143,493,029,130,602,257,981,516,978,096,989,
653,376,793,831,257,984,895,684,592,685,369,054,303,404,313,216,616,568,831,
803,549,042,195,580,049,368,976,060,634,884,978,024,248,992,554,173,469,781,
897,259,650,678,855,282,901,614,108,427,109,473,730,541,347,527,223,727,371,
815,400,221,988,770,675,758,905,253,234,490,792,276,210,085,890,389,639,121,
196,051,918,173,550,390,077,776,362,690,342,236,470,731,702,845,172,282,899,
599,935,439,180,493,402,346,173,255,877,903,459,609,187,281,616,761,439,840,
364,161,661,196,498,057,239,561,452,944,971,964,443,871,655,181,221,626,209,
340,603,715,054,353,116,987,326,884,017,857,164,808,464,055,037,068,254,088,
580,924,911,308,338,703,629,973,547,354,784,369,157,254,210,684,704,830,566,
543,983,493,952,627,204,764,964,375,654,388,523,951,086,445,092,181,590,530,
665,991,220,667,402,691,636,330,926,878,356,726,990,092,316,954,828,862,101,
473,938,460,679,905,401,422,846,047,113,546,900,149,371,737,667,853,057,324,
010,732,222,792,396,441,647,186,357,924,448,058,760,619,807,612,956,233,464,
587,649,157,647,185,200,027,083,551,974,200,102,109,951,636,734,198,272,098,
765,234,208,224,397,414,156,786,790,471,575,806,540,633,413,273,722,538,009,
265,680,304,394,811,095,905,373,049,661,787,608,955,530,676,164,132,155,282,
996,959,964,510,924,402,164,413,225,812,259,857,198,653,497,848,581,586,660,
878,848,241,151,101,020,960,170,548,821,450,797,496,800,716,019,788,165,759,
209,943,456,172,543,522,783,908,116,577,529,667,300,865,042,582,198,467,643,
389,011,739,807,745,372,613,679,573,937,692,338,021,484,989,794,221,681,307,
332,121,955,380,911,920,715,950,898,818,915,523,041,232,001,573,718,943,636,
510,998,507,126,016,331,689,159,677,767,545,376,622,539,622,667,083,954,298,
388,827,648,829,902,723,298,817,675,668,425,650,322,355,455,103,135,672,321,
004,935,521,165,700,571,136,739,702,783,015,381,596,666,568,199,094,895,935,
219,980,613,410,631,047,502,374,060,342,246,907,026,862,420,682,743,750,511,
786,892,271,249,577,985,081,778,920,565,447,289,195,049,765,936,992,127,992,
444,699,333,457,524,903,884,634,952,017,053,327,997,025,786,844,196,746,814,
712,021,463,868,107,812,905,867,893,158,235,176,368,491,626,599,976,847,388,
307,264,302,499,549,370,204,859,375,162,478,852,341,473,203,083,024,110,545,
476,519,672,913,228,356,670,749,416,813,023,322,032,001,833,809,958,785,643,
387,688,227,578,231,961,622,426,195,869,285,095,929,382,092,561,617,546,215,
568,457,384,752,704,351,670,171,786,166,647,963,033,927,862,385,796,066,550,
352,607,564,930,070,001,548,513,359,591,273,001,218,997,853,799,290,460,188,
184,909,570,948,437,277,883,919,443,523,610,971,899,613,445,075,479,571,821,
341,781,547,053,902,631,050,794,613,462,663,071,761,558,275,826,222,454,904,
167,976,200,692,391,839,878,768,815,668,923,079,332,710,031,746,143,984,888,
991,098,532,839,442,557,518,266,403,318,313,070,083,377,083,247,121,763,213,
575,731,390,510,827,510,311,145,295,810,541,420,925,955,436,630,720,924,272,
360,210,724,805,770,697,378,086,188,421,409,380,860,547,044,518,149,508,220,
463,319,208,344,573,186,506,473,041,906,722,045,627,149,904,964,255,429,877,
673,963,787,101,361,637,825,664,183,248,595,461,528,339,515,410,773,955,814,
760,025,287,275,004,482,935,102,730,187,239,532,398,114,238,880,529,903,021,
211,025,267,825,334,485,168,161,341,891,247,554,121,541,874,787,983,419,655,
985,514,765,186,983,708,184,772,289,673,959,589,129,334,344,624,433,229,835,
660,371,351,346,424,040,048,298,591,865,004,524,572,894,508,275,894,326,200,
003,885,436,888,534,165,896,570,665,237,648,785,669,051,711,367,823,282,940,
827,224,094,169,982,719,503,154,832,015,204,384,015,412,146,325,092,177,335,
391,922,651,971,490,174,062,783,535,777,254,579,243,528,021,113,548,033,622,
305,093,367,594,001,021,219,446,963,469,026,192,840,786,517,268,728,839,775,
239,861,031,785,542,829,866,563,832,567,730,312,499,972,496,902,547,725,930,
944,581,990,157,258,158,722,114,734,094,873,748,554,258,044,647,331,067,282,
027,673,707,199,894,456,035,064,116,204,936,368,774,994,932,290,802,286,152,
373,697,414,996,042,995,499,341,333,605,544,944,914,035,280,086,287,786,753,
477,766,796,690,125,990,601,488,412,897,414,678,953,443,643,463,425,094,098,
801,455,151,281,199,874,046,395,868,091,638,175,527,445,907,130,455,235,944,
828,011,859,662,368,775,766,364,461,119,952,128,559,712,380,433,838,319,182,
148,159,407,560,360,886,450,124,421,386,704,845,687,206,655,348,100,747,867,
051,132,370,807,531,802,011,479,250,958,509,833,768,466,068,496,521,152,041,
076,248,774,093,467,559,861,314,942,540,884,339,401,317,761,169,103,833,577,
134,327,098,867,858,356,813,518,850,090,351,949,130,570,258,960,376,607,231,
243,398,535,803,213,795,664,598,944,060,430,484,127,829,166,446,931,720,452,
538,115,511,275,572,939,733,889,113,448,072,799,874,408,183,072,082,385,983,
095,892,594,060,392,132,671,419,074,480,667,034,163,124,393,625,120,217,031,
996,807,348,067,168,056,920,049,168,270,256,498,192,215,321,935,283,098,274,
717,522,661,915,749,123,652,783,034,340,340,263,350,616,973,705,163,626,466,
598,472,990,769,012,203,460,450,959,906,460,599,138,999,837,828,516,472,410,
214,476,604,186,612,244,596,163,736,289,968,531,284,195,505,095,978,190,198,
599,854,597,954,613,177,258,528,320,544,369,710,172,052,073,867,865,719,030,
664,649,131,094,805,509,774,747,649,388,127,756,878,386,117,873,369,365,404,
935,463,144,493,356,247,021,558,056,605,979,262,137,976,483,596,116,754,993,
473,546,874,216,295,799,025,242,900,147,610,550,788,629,943,155,539,552,845,
413,866,890,024,077,378,485,095,142,685,086,724,545,659,143,115,626,771,685,
483,727,662,392,914,744,782,674,701,894,933,555,496,710,341,925,116,113,475,
203,095,634,574,046,645,680,458,295,870,577,306,699,910,217,791,302,159,016,
428,269,544,759,963,125,278,224,943,150,170,183,237,109,508,402,251,825,706,
131,133,671,690,571,947,165,854,743,624,653,628,609,236,985,561,928,206,888,
744,179,827,348,964,535,245,973,850,405,152,239,143,110,838,751,599,978,709,
714,556,565,081,051,451,522,336,185,734,661,081,129,967,806,774,710,920,538,
236,582,455,867,008,525,131,143,435,265,231,986,768,462,200,245,670,304,714,
759,973,771,091,275,139,006,293,979,514,102,759,717,072,621,554,255,178,367,
755,071,779,755,752,278,448,767,448,476,669,643,440,434,777,125,765,104,584,
909,952,740,431,169,576,779,015,772,254,255,951,637,353,849,152,276,878,786,
363,698,655,175,399,565,568,489,980,593,755,223,318,995,135,725,005,786,564,
764,075,241,227,226,424,442,635,830,988,867,546,402,366,631,207,683,402,777,
189,257,977,485,291,534,012,429,280,567,398,416,061,476,975,198,887,235,602,
623,046,506,787,429,821,539,057,960,776,803,563,352,300,673,617,213,982,873,
521,357,355,548,862,774,675,633,199,909,892,290,480,762,928,050,764,866,701,
809,589,796,893,218,868,664,724,879,553,889,690,794,024,620,732,173,818,890,
940,164,263,092,924,381,843,673,030,801,657,885,973,508,109,800,480,408,348,
512,806,750,443,947,833,592,442,493,404,898,232,843,249,448,920,612,926,431,
653,961,538,513,942,946,575,357,108,943,656,851,908,216,643,894,291,804,983,
030,838,397,181,767,035,392,363,727,247,093,330,673,153,557,223,611,308,151,
541,417,902,360,928,716,511,457,192,365,659,102,615,356,531,292,858,644,584,
813,131,080,003,485,702,710,382,259,521,407,523,201,651,876,858,443,609,209,
439,773,702,303,661,796,129,317,157,663,172,286,205,720,110,447,613,362,709,
087,367,914,573,648,532,805,356,838,371,471,459,298,866,763,240,486,682,960,
405,055,215,014,576,553,305,363,530,298,049,861,886,679,369,615,303,692,477,
657,008,465,211,575,451,128,716,378,556,313,130,328,299,704,400,855,003,512,
264,462,024,819,622,862,951,878,397,454,715,190,412,981,503,776,496,742,855,
736,884,261,337,855,384,463,545,981,898,485,393,801,837,555,496,688,996,117,
081,818,013,677,770,565,098,492,192,932,362,906,012,573,259,167,487,617,492,
842,297,913,449,362,650,709,991,681,673,362,727,843,564,592,944,778,238,807,
780,315,339,978,870,928,474,033,620,027,367,287,557,811,941,600,582,934,243,
748,246,841,536,154,771,633,419,490,670,674,921,314,301,797,625,207,706,886,
334,336,944,219,053,516,121,765,327,265,320,365,343,319,648,121,927,530,254,
714,686,876,179,410,373,239,537,580,441,979,119,922,585,767,837,415,128,161,
423,360,137,991,912,903,656,463,677,828,044,383,232,435,571,284,338,956,354,
645,330,029,592,926,944,244,501,124,912,005,537,436,894,111,343,711,447,774,
392,057,146,694,796,296,189,271,105,724,653,139,251,121,776,267,840,807,601,
574,201,143,569,012,887,173,255,362,080,386,869,384,527,691,689,587,074,588,
245,606,752,769,530,910,127,633,412,858,470,509,836,245,331,115,893,914,795,
072,799,065,019,223,539,183,374,379,379,602,073,640,461,604,924,786,907,028,
943,879,466,311,042,972,175,836,061,499,474,963,920,341,478,661,586,535,386,
078,423,004,762,923,241,461,413,694,201,881,943,180,181,827,755,132,835,411,
942,854,297,956,890,387,640,197,700,524,916,527,701,118,442,746,802,896,004,
360,298,680,989,927,962,356,306,131,386,459,771,956,228,590,961,877,118,561,
037,915,014,106,881,029,992,984,475,221,106,214,765,709,271,127,692,029,578,
177,762,712,129,799,260,294,446,704,017,929,703,617,562,644,910,125,314,970,
039,676,433,430,126,342,220,186,821,663,128,100,964,227,669,496,671,301,690,
667,054,085,619,186,686,055,911,768,435,429,256,763,553,917,856,551,427,847,
577,817,857,564,808,681,081,776,924,066,553,918,196,773,346,699,954,321,357,
422,869,421,007,199,785,779,194,921,774,191,456,877,714,857,599,997,760,516,
598,273,826,117,164,377,705,214,028,372,299,525,795,621,601,529,173,754,765,
489,062,868,436,110,890,251,646,150,112,048,496,011,918,474,303,205,557,403,
617,258,153,721,757,941,137,633,966,184,929,982,045,092,078,247,166,413,308,
647,952,700,184,880,392,580,989,379,996,398,148,241,519,556,710,036,854,638,
796,112,588,164,181,499,994,346,677,870,276,566,658,169,975,073,562,537,222,
066,438,963,397,335,063,996,435,504,317,434,927,311,854,996,961,126,268,200,
925,334,642,242,943,421,056,528,932,455,442,936,635,185,879,318,936,901,200,
017,820,774,880,326,646,973,406,358,167,898,770,753,127,103,902,950,891,246,
346,432,973,041,761,015,740,284,451,314,165,025,459,867,774,324,150,391,782,
623,303,000,018,576,716,171,179,078,020,026,719,029,686,758,088,608,324,734,
430,965,652,365,195,639,782,119,509,584,322,313,788,257,101,534,075,866,656,
356,757,190,350,061,737,217,021,695,085,382,070,853,074,841,233,918,642,790,
973,477,939,711,530,541,326,724,085,153,098,900,770,111,305,796,430,518,699,
117,284,180,832,625,883,501,890,587,572,602,350,485,778,306,208,588,393,588,
016,360,808,412,127,649,658,240,231,052,926,566,710,755,492,576,429,878,417,
423,298,248,663,474,886,765,792,051,147,526,529,949,736,512,934,405,594,841,
105,094,957,816,299,824,731,679,797,595,560,310,122,608,871,197,311,367,423,
349,060,864,823,041,664,618,716,812,935,823,609,139,846,146,639,237,844,055,
966,097,371,169,345,904,518,086,614,948,462,234,594,195,768,128,742,765,450,
896,114,810,525,244,905,633,482,132,285,481,053,546,423,617,855,205,296,778,
950,254,265,045,962,783,596,443,960,021,640,092,472,573,617,098,654,494,422,
124,569,462,504,945,598,551,252,623,051,632,197,847,455,368,083,466,016,215,
047,324,990,813,393,676,192,976,094,912,581,060,556,673,626,392,199,271,156,
279,861,620,286,133,224,386,021,137,289,814,974,266,756,300,978,994,686,005,
118,958,584,308,747,547,427,841,661,096,320,710,142,529,993,744,226,645,434,
801,024,148,106,136,290,246,259,416,278,583,905,347,418,402,274,072,603,132,
834,431,395,893,420,967,271,974,777,111,487,452,032,411,781,119,126,338,602,
509,784,767,706,620,961,461,864,906,827,246,822,958,119,436,918,469,664,763,
008,693,680,801,012,211,904,674,588,787,864,445,209,841,289,923,855,230,006,
917,276,790,121,602,275,584,341,489,207,340,214,516,943,195,424,570,578,197,
729,641,073,503,185,475,965,186,319,463,351,660,693,156,499,996,955,991,209,
619,752,300,244,089,408,184,310,080,796,099,707,515,533,963,120,220,555,374,
559,657,997,162,359,292,919,713,400,288,994,886,088,727,873,105,004,680,361,
536,514,545,208,545,257,779,361,282,547,178,787,604,126,581,806,472,509,553,
178,288,172,579,865,371,153,842,785,116,624,871,295,738,009,018,390,930,488,
183,326,693,940,067,254,806,339,439,640,582,331,191,082,097,454,284,252,333,
353,780,219,217,402,649,161,490,379,852,563,202,927,503,181,717,343,117,896,
441,159,271,603,421,404,953,915,047,554,888,617,995,949,160,415,058,809,408,
238,566,474,831,439,057,122,024,940,867,601,975,756,438,068,629,119,133,067,
710,915,983,244,334,945,025,679,787,185,560,137,594,197,320,229,269,430,982,
463,312,668,270,971,783,566,105,141,333,488,639,495,536,858,283,661,128,485,
803,606,656,955,423,472,276,972,778,507,070,498,135,542,863,148,686,560,459,
651,960,927,752,111,168,457,524,796,810,460,733,656,316,538,994,256,183,482,
022,148,892,105,636,000,879,311,020,770,616,415,045,110,164,619,314,330,020,
030,190,143,443,505,061,066,561,136,198,874,266,989,650,723,240,721,251,335,
747,706,152,038,802,924,021,711,571,081,736,683,167,987,298,116,147,779,288,
208,081,773,191,985,478,581,818,557,661,727,679,825,228,940,337,797,549,791,
075,907,435,242,965,874,797,153,155,776,034,407,478,484,524,192,400,825,381,
359,589,326,068,350,792,548,527,814,168,166,609,037,011,181,198,100,928,755,
958,084,398,078,988,097,456,925,034,028,657,047,359,340,815,126,222,672,996,
795,504,408,158,790,011,789,763,570,422,007,461,770,361,005,538,082,760,343,
811,710,816,276,075,443,502,467,674,452,570,773,885,713,661,978,452,945,003,
805,902,010,785,168,818,284,026,177,323,255,738,029,973,652,916,857,594,820,
910,465,647,174,306,984,234,899,789,474,337,201,652,895,954,397,950,997,759,
055,607,684,305,478,969,617,982,557,042,099,408,053,035,649,909,848,661,793,
720,729,411,828,340,666,537,214,394,683,033,266,201,755,731,755,515,988,757,
027,791,265,152,442,397,782,498,717,370,886,967,554,351,080,535,342,776,713,
299,187,314,313,116,250,072,451,322,397,011,578,225,635,632,456,228,041,560,
582,657,938,227,597,415,859,082,996,735,509,471,343,444,257,674,220,696,205,
656,858,860,364,181,594,540,483,629,609,080,891,802,238,529,335,970,592,959,
008,795,669,523,390,599,032,820,632,734,173,796,253,658,382,637,825,908,185,
096,281,547,380,843,943,181,173,892,184,126,607,178,910,306,956,304,700,440,
098,594,098,014,426,931,879,145,792,227,026,014,851,931,833,763,982,494,728,
377,162,875,574,795,617,808,808,905,679,446,435,790,911,598,399,939,457,436,
863,974,959,217,107,140,907,603,879,505,721,249,431,489,515,509,550,037,944,
301,486,338,828,928,817,952,067,118,429,002,641,286,063,184,323,460,938,534,
917,733,151,793,806,575,130,257,703,127,356,898,852,046,932,124,586,342,187,
569,907,093,503,518,378,705,277,775,889,714,210,282,712,221,925,133,738,973,
405,604,405,614,227,790,349,632,093,310,643,556,780,113,051,654,007,420,055,
086,153,619,460,372,259,716,975,208,982,529,681,454,035,906,448,821,005,666,
534,652,803,942,847,488,797,021,876,034,222,381,175,998,238,992,517,552,040,
128,931,907,575,256,748,994,760,866,636,495,444,418,866,997,193,678,944,115,
614,573,211,568,562,295,434,524,336,163,494,626,557,337,523,850,848,761,804,
523,590,150,998,286,195,924,099,736,480,351,748,671,746,558,921,994,804,629,
491,938,841,024,749,970,232,340,785,742,112,289,581,767,791,860,638,613,911,
218,941,351,813,496,021,107,202,506,074,083,849,118,348,413,705,391,598,466,
493,384,523,557,436,598,873,127,140,177,429,525,734,867,084,851,162,688,991,
309,971,813,678,021,050,964,979,396,820,559,662,690,713,213,587,066,180,495,
613,032,098,275,515,996,391,659,716,098,472,043,088,267,475,583,787,868,725,
448,641,453,521,351,637,902,417,235,472,651,711,572,091,177,581,229,172,804,
974,095,369,028,493,990,042,089,724,981,627,904,301,791,880,518,478,029,874,
622,239,891,831,135,099,847,582,923,030,225,461,022,286,379,252,974,827,998,
809,080,119,949,043,782,979,925,404,303,476,676,193,593,616,808,180,997,594,
595,496,453,230,889,227,131,908,434,287,086,301,697,787,964,183,215,232,054,
817,893,858,806,077,835,118,715,990,871,387,619,981,919,710,613,748,775,002,
539,905,819,388,382,138,704,405,807,282,186,152,126,801,372,868,213,621,829,
767,620,169,934,925,556,390,383,814,778,115,464,985,076,974,141,370,156,603,
660,912,089,199,238,264,164,927,535,337,512,036,775,096,073,060,758,333,950,
102,832,926,020,609,727,633,508,194,122,484,349,249,303,890,520,597,184,847,
336,501,047,287,500,370,075,111,247,665,236,013,270,023,803,782,632,562,827,
526,045,854,282,294,576,151,870,032,592,416,846,112,019,261,874,074,221,741,
059,955,227,335,838,184,834,576,084,056,694,837,678,830,652,711,344,183,808,
487,315,716,225,761,876,496,950,249,979,645,837,777,103,783,519,830,810,086,
306,256,811,396,408,946,970,500,848,369,833,896,822,661,268,370,206,496,759,
478,562,274,533,458,792,310,551,917,214,727,485,275,749,266,651,270,897,712,
873,740,014,827,261,078,557,902,616,209,868,114,487,486,732,961,308,931,713,
261,666,662,870,082,036,363,259,835,426,947,495,903,953,527,870,297,024,192,
732,849,143,303,721,405,747,139,282,883,925,733,432,613,748,759,592,099,414,
126,442,357,020,574,700,803,257,282,046,178,092,338,097,019,207,317,237,034,
934,396,393,921,988,472,910,139,833,813,588,105,068,216,587,169,454,529,186,
368,422,312,661,403,549,518,684,514,718,436,419,937,129,527,372,026,889,551,
046,324,178,487,230,019,117,757,259,873,798,365,725,911,885,854,370,930,002,
783,372,296,721,949,437,940,559,698,097,537,076,444,958,495,926,975,068,000,
355,921,186,218,002,454,578,193,632,262,613,817,763,516,455,955,876,124,269,
677,054,435,514,200,426,203,430,734,140,057,759,772,827,253,960,465,558,686,
655,338,961,394,071,534,934,840,215,551,924,774,594,734,262,815,199,616,010,
855,606,582,303,746,048,738,951,786,937,075,567,885,249,145,883,817,983,976,
505,384,332,449,663,721,153,006,570,515,337,870,576,375,695,027,188,026,855,
500,480,154,960,180,630,305,834,536,017,084,761,684,137,875,294,776,923,883,
312,601,225,426,639,046,346,713,429,028,940,802,334,847,396,078,195,394,725,
097,646,973,267,141,851,575,529,313,880,635,985,747,670,039,952,808,083,420,
893,490,300,336,768,018,635,074,136,029,380,531,142,613,277,224,116,164,961,
079,809,678,142,089,954,852,979,462,405,531,485,132,544,718,802,831,220,467,
840,562,383,844,542,478,413,155,516,931,531,603,821,253,874,764,867,840,920,
173,580,573,935,728,160,265,720,718,617,474,794,436,279,372,980,007,890,547,
921,711,265,828,647,981,647,174,798,108,600,233,385,081,995,088,351,511,592,
363,847,020,117,344,741,294,979,420,901,467,678,313,361,860,030,733,042,647,
818,908,336,323,844,139,877,655,600,466,374,505,439,558,083,854,445,310,912,
599,280,431,238,325,699,759,562,862,515,966,750,379,761,062,437,963,426,110,
040,825,593,214,213,701,806,457,102,310,661,972,807,189,020,856,379,908,840,
578,855,308,396,156,491,992,157,996,929,040,816,257,661,291,581,901,973,703,
438,729,302,191,890,057,547,820,859,666,486,463,046,324,455,091,315,188,844,
639,836,960,360,762,221,732,707,923,544,934,116,983,458,284,298,997,322,169,
145,847,705,423,491,309,086,209,561,626,750,371,130,944,608,698,392,299,976,
415,930,855,274,508,064,904,130,615,141,921,596,842,088,454,941,652,291,874,
952,882,651,959,822,929,270,250,855,579,942,238,679,639,179,914,322,361,731,
993,550,006,515,586,461,619,376,765,100,942,091,257,223,054,101,350,029,279,
713,785,497,736,389,151,498,126,301,031,495,835,696,675,512,421,971,606,915,
215,095,135,226,359,259,935,410,140,555,944,993,827,116,080,290,839,995,606,
728,456,871,246,125,230,442,763,233,358,795,406,254,795,578,886,979,694,863,
121,803,787,990,673,019,841,337,094,039,085,719,927,885,136,634,516,624,662,
548,260,823,431,912,415,870,785,374,225,294,856,800,376,729,851,081,254,238,
881,897,546,293,572,231,065,465,148,613,781,078,118,177,993,123,483,437,257,
121,086,395,171,214,848,961,134,664,162,710,126,502,696,875,903,269,210,439,
587,858,340,559,835,206,166,198,832,319,824,672,617,578,634,605,267,964,873,
786,178,645,663,474,643,509,694,366,423,089,053,380,562,468,373,882,425,325,
542,620,275,811,300,956,301,683,479,794,938,172,729,178,111,379,843,542,459,
229,478,630,307,400,042,484,709,996,268,309,527,644,084,878,659,325,279,127,
320,161,814,060,119,167,462,899,902,212,626,561,584,423,252,085,037,181,381,
813,585,083,740,930,446,755,996,446,633,297,004,569,138,266,830,569,758,145,
280,017,126,638,591,971,132,855,889,064,713,649,019,736,466,439,213,065,868,
652,185,448,740,540,984,190,600,397,157,439,640,014,454,884,653,877,038,327,
905,759,065,326,121,913,107,363,245,440,626,696,110,819,019,669,143,657,449,
719,890,734,609,910,441,929,996,713,227,708,843,754,596,233,475,343,834,676,
176,919,492,415,922,873,792,825,536,968,098,775,996,989,598,465,951,931,079,
196,640,659,918,041,073,592,839,122,167,807,420,640,084,245,840,234,671,215,
384,250,897,397,437,305,551,368,416,562,103,258,621,492,792,358,600,753,331,
439,317,128,466,406,420,551,408,210,360,485,646,703,847,648,779,076,716,589,
601,840,260,808,795,916,977,423,478,848,997,109,175,303,729,629,947,068,920,
538,259,469,348,149,370,940,012,804,790,231,203,785,071,171,085,924,100,015,
162,861,505,235,614,924,770,221,052,879,582,250,212,025,731,791,403,324,337,
189,845,472,568,174,178,322,226,781,194,467,408,848,764,218,673,217,166,271,
141,337,017,470,100,172,186,644,054,550,012,295,639,902,190,356,377,428,866,
304,075,420,279,684,472,191,999,717,815,965,844,058,440,635,639,977,352,691,
756,090,325,206,464,545,976,988,333,917,532,216,241,708,200,333,019,963,366,
934,924,294,887,044,135,925,698,226,620,919,484,480,208,092,921,789,482,398,
481,668,987,688,950,107,600,590,916,223,882,681,417,227,460,205,553,219,985,
606,416,797,313,036,676,960,338,194,961,615,710,189,602,534,801,939,351,225,
946,133,010,122,512,122,938,451,391,644,628,253,674,580,212,074,866,145,118,
221,669,858,229,047,726,617,417,140,456,913,025,864,873,115,604,933,829,551,
748,342,905,104,682,011,038,379,482,514,633,896,184,463,112,428,979,512,959,
376,775,153,598,362,481,606,252,091,241,038,688,621,517,312,030,012,697,867,
256,677,845,669,243,849,591,635,484,284,696,058,189,388,756,366,299,736,363,
422,507,184,949,820,558,074,693,596,265,218,603,225,266,212,407,433,360,739,
472,229,744,218,299,274,127,467,394,944,768,928,804,618,988,813,456,911,475,
738,863,241,179,726,777,876,216,858,400,421,097,149,024,883,959,508,497,652,
319,335,820,547,440,078,983,782,848,910,250,035,790,089,308,792,827,588,559,
418,486,422,375,517,352,426,777,945,113,592,118,374,173,707,602,149,036,986,
796,640,905,778,851,562,229,364,607,498,222,125,325,438,189,254,573,332,140,
255,624,195,340,619,551,549,589,266,855,165,251,217,187,234,587,413,571,329,
677,516,894,464,800,993,676,626,331,360,018,412,460,559,931,439,453,618,375,
955,663,447,581,432,250,246,178,033,304,738,756,165,810,630,464,859,704,264,
152,925,970,522,993,649,800,346,289,734,611,454,535,306,156,661,356,274,815,
498,538,253,481,698,269,118,582,135,908,649,704,779,267,484,526,142,074,736,
277,403,974,745,604,147,332,014,222,189,120,955,706,479,891,055,826,023,261,
805,042,703,524,096,974,731,434,557,014,396,650,094,091,612,475,713,919,419,
828,030,591,574,870,162,296,043,903,778,682,307,644,424,690,666,367,322,935,
911,765,439,341,075,732,132,579,439,441,085,166,406,677,294,855,118,202,085,
962,767,826,446,921,372,429,347,430,833,451,750,852,605,755,979,801,949,778,
235,041,978,005,599,331,285,706,873,544,592,768,952,010,417,598,572,258,347,
171,102,198,208,594,436,310,082,318,734,836,256,912,593,946,197,294,468,886,
829,696,011,899,183,068,364,639,149,117,361,890,479,904,726,878,253,142,831,
061,077,736,542,126,273,227,814,582,892,911,371,528,416,618,459,155,101,091,
582,835,147,184,316,809,835,937,469,560,141,656,243,208,677,362,800,008,474,
495,640,176,761,033,468,623,013,917,349,551,209,054,684,498,521,891,991,393,
723,495,853,976,370,860,499,130,854,759,488,628,575,895,676,870,005,133,644,
850,715,963,532,587,477,044,827,024,526,840,033,501,035,114,848,833,643,131,
682,516,496,836,013,840,698,658,084,124,448,518,506,070,675,614,602,863,050,
697,864,491,830,097,776,624,498,891,988,911,398,313,607,779,466,134,645,919,
766,282,540,928,053,020,166,382,050,395,097,985,979,805,430,084,217,394,883,
059,697,186,701,584,330,457,899,127,939,013,271,612,704,895,033,115,972,088,
174,623,563,880,975,930,533,051,893,815,302,054,269,242,084,070,565,067,483,
371,077,258,758,374,556,250,978,736,642,191,425,081,497,301,524,787,003,030,
621,032,806,084,375,118,652,788,322,992,357,523,623,289,628,951,548,268,149,
736,885,106,732,425,293,903,345,137,726,009,012,029,073,770,822,715,831,396,
193,031,846,249,792,832,175,331,988,854,794,452,412,098,608,530,736,934,328,
500,932,687,735,575,733,834,911,616,891,251,738,353,975,476,476,670,208,305,
934,007,654,281,287,043,485,563,089,271,473,485,210,379,629,160,209,292,964,
393,909,899,287,010,464,068,772,427,281,621,250,812,992,655,612,412,883,223,
986,378,894,351,203,333,137,388,471,338,609,822,550,125,359,315,372,104,207,
819,271,431,939,796,406,089,102,024,613,364,065,574,375,711,325,336,772,404,
367,325,972,006,670,427,192,062,107,934,135,227,266,360,046,142,150,400,340,
782,266,519,590,720,062,312,245,086,899,563,432,436,104,837,272,987,116,208,
546,277,530,160,845,288,832,718,389,930,419,003,480,131,285,995,838,760,230,
538,248,032,601,766,704,476,650,409,187,793,901,224,792,541,262,191,608,750,
497,414,827,644,835,414,234,913,896,242,580,863,659,727,397,553,597,821,765,
015,814,373,975,989,451,221,573,138,994,330,215,444,928,660,909,011,173,971,
338,864,758,801,967,353,397,403,620,524,119,199,163,860,319,778,257,758,329,
118,460,934,800,571,470,638,857,829,808,924,739,635,877,289,458,029,370,657,
362,452,730,673,767,498,693,450,354,287,236,850,951,363,917,708,301,140,440,
218,121,755,793,583,349,689,055,257,191,168,937,307,919,559,706,039,273,837,
289,541,841,826,036,488,306,828,231,882,985,353,949,527,190,776,842,147,148,
796,196,486,598,197,693,465,754,196,562,495,519,556,345,539,560,343,826,894,
291,011,881,847,901,817,698,598,679,465,065,855,720,656,230,775,240,567,856,
246,167,434,079,302,090,565,869,948,149,867,294,217,622,800,245,157,709,394,
332,516,779,151,071,161,026,360,998,043,195,016,649,261,197,712,099,661,193,
688,247,619,106,171,131,940,681,920,207,645,017,453,079,794,135,455,378,142,
500,820,263,108,894,985,495,663,527,249,898,999,947,261,553,088,185,993,120,
753,030,912,867,904,354,420,972,946,825,300,671,743,488,419,405,081,845,294,
273,412,343,908,145,565,856,111,121,932,801,015,066,900,270,761,728,540,502,
405,031,007,975,114,686,190,386,639,544,359,896,843,281,744,085,201,234,945,
801,674,245,247,600,264,210,044,310,015,797,731,974,333,146,621,518,897,166,
478,311,973,981,417,211,142,089,170,790,479,233,339,428,264,569,918,961,772,
962,412,235,494,730,147,233,853,798,505,557,198,015,943,227,123,895,366,577,
060,823,586,923,649,917,468,068,941,254,470,571,587,585,897,199,212,125,813,
594,846,256,090,459,116,710,284,034,931,172,222,995,779,473,458,338,276,552,
528,315,014,234,773,637,139,745,105,646,794,776,738,497,280,167,225,353,432,
488,478,885,101,142,657,114,897,932,865,318,072,265,500,557,422,672,066,710,
425,759,546,636,201,628,624,637,987,126,409,221,915,416,874,888,652,597,825,
065,606,013,096,276,736,813,524,005,808,180,092,035,541,717,836,412,673,750,
177,775,923,598,235,360,510,972,715,287,042,259,396,110,245,810,693,817,947,
019,095,811,899,661,170,132,810,085,648,434,328,580,642,264,069,357,772,891,
059,681,421,677,541,161,329,586,235,230,134,084,047,524,438,342,576,601,172,
215,354,036,253,411,363,038,754,004,374,549,649,352,741,763,106,370,042,108,
337,756,457,266,038,410,958,683,678,205,478,656,010,469,152,620,547,760,873,
802,687,663,580,273,112,531,164,980,589,058,766,305,764,816,592,802,763,805,
727,456,416,789,063,342,102,776,682,906,702,927,279,130,020,287,097,130,442,
530,339,610,730,594,855,792,290,727,253,354,578,451,370,421,927,260,460,715,
764,984,665,759,385,027,690,399,167,875,921,730,430,081,279,822,900,873,592,
759,701,637,389,941,362,172,215,135,914,458,483,322,453,775,474,304,010,459,
891,213,760,943,967,372,923,380,915,609,968,891,682,275,184,365,089,533,984,
770,199,397,784,298,328,311,475,561,669,033,669,880,486,166,587,806,673,481,
184,268,645,693,854,794,527,075,505,449,357,858,859,894,500,104,095,697,380,
245,577,926,513,845,415,163,516,000,793,096,313,035,825,931,086,229,576,340,
290,546,772,209,426,230,341,025,236,906,592,580,487,266,540,061,372,772,172,
389,686,563,662,736,107,866,342,219,305,504,810,263,819,169,268,651,402,651,
188,907,394,845,569,180,571,844,525,752,911,765,519,296,949,267,645,430,111,
801,052,204,399,280,810,879,985,293,587,740,492,410,097,293,781,728,940,517,
508,004,062,880,006,423,250,918,599,001,637,921,272,685,965,840,439,076,127,
861,352,344,507,485,642,682,608,274,157,853,291,363,940,899,297,729,217,348,
983,033,061,683,353,808,863,337,608,558,943,246,217,446,392,650,365,199,627,
303,393,063,610,705,890,240,106,516,567,349,707,585,195,694,315,029,136,149,
623,146,547,881,863,390,054,469,980,042,455,984,518,826,914,716,912,900,106,
978,004,684,393,072,706,029,790,773,749,341,233,635,541,432,758,423,984,512,
215,755,996,630,393,028,662,016,674,955,852,284,961,196,676,940,926,676,355,
054,917,169,087,418,330,257,551,432,352,133,860,331,990,299,525,243,674,166,
484,149,045,374,325,095,277,922,017,725,955,937,880,120,655,454,394,527,436,
877,841,532,489,004,313,943,793,233,572,946,612,983,699,598,453,327,964,449,
188,465,768,103,564,623,190,178,554,034,746,249,190,501,115,186,478,947,856,
810,689,972,240,449,003,922,211,977,562,076,872,354,749,856,701,255,737,408,
732,872,798,093,168,949,422,174,849,165,494,974,998,400,612,311,138,409,455,
073,061,690,362,032,555,996,218,009,716,792,429,243,109,668,721,776,492,920,
167,148,476,612,933,525,333,983,782,013,724,064,616,946,616,857,379,727,864,
619,977,884,348,002,141,988,337,666,709,561,601,256,937,199,771,222,754,447,
320,703,327,524,308,492,335,757,984,582,968,581,294,203,807,566,854,631,366,
974,723,346,535,739,876,596,300,424,914,035,721,002,917,927,334,233,388,625,
458,402,263,312,013,216,231,864,920,191,491,513,309,068,688,668,943,173,496,
842,203,891,723,168,157,294,940,359,204,827,303,501,447,708,324,484,621,825,
233,250,783,647,821,131,876,306,009,044,435,623,160,063,168,787,396,800,202,
841,314,275,535,481,486,703,603,711,155,446,320,656,874,651,679,472,768,521,
367,393,852,146,784,693,262,893,153,845,191,986,655,158,109,337,181,359,604,
746,578,355,101,727,585,176,788,053,886,358,730,934,552,553,632,627,097,797,
621,016,979,129,553,974,227,452,560,021,009,092,390,647,093,127,455,166,584,
757,733,933,711,811,232,772,773,039,205,422,632,436,711,443,902,143,179,903,
126,407,325,333,125,232,430,378,117,092,011,699,292,358,555,619,036,633,621,
317,523,046,560,794,456,180,820,230,954,631,694,681,613,532,279,193,522,079,
030,787,008,200,450,500,202,219,753,138,421,184,162,486,017,002,214,948,557,
798,692,847,777,313,102,379,816,848,273,885,450,314,451,355,604,673,488,641,
685,222,779,181,586,426,123,464,110,650,619,725,190,188,654,996,921,274,704,
603,800,745,213,538,847,486,129,929,421,326,490,453,827,077,922,390,270,079,
183,578,849,198,778,051,273,134,767,565,415,340,841,755,631,511,115,606,934,
267,671,020,404,177,089,931,525,595,439,979,256,282,365,570,293,649,417,464,
557,399,429,630,508,786,886,235,341,561,564,769,984,580,350,852,299,241,668,
704,110,565,937,138,996,694,621,887,492,396,103,949,436,496,984,357,366,750,
663,598,395,414,800,820,797,436,459,272,521,881,049,534,145,853,829,323,047,
805,670,054,735,598,242,941,123,868,834,488,931,407,928,864,590,410,770,421,
797,888,836,022,425,820,181,820,239,305,995,968,988,704,721,121,921,626,021,
705,953,848,521,234,426,567,520,649,551,360,756,412,552,871,792,666,820,770,
028,588,013,719,843,909,440,347,382,813,840,413,496,171,703,808,634,933,224,
337,688,328,297,359,629,287,107,341,747,757,336,180,414,975,455,753,322,664,
567,599,202,543,389,922,457,833,899,667,268,568,684,448,516,442,683,134,494,
583,051,597,262,842,993,972,447,674,415,043,675,534,197,318,748,884,576,279,
764,982,879,276,214,917,577,412,240,218,678,437,784,726,510,290,364,422,394,
090,940,578,598,865,739,994,869,165,720,767,320,379,677,829,684,547,550,675,
670,735,317,266,220,098,470,659,115,263,172,789,147,187,904,549,227,120,369,
705,258,715,972,678,583,695,264,111,109,757,822,012,857,387,381,480,577,072,
868,944,798,186,797,588,384,091,141,251,232,962,929,176,004,356,098,903,608,
087,791,744,930,338,012,365,219,552,351,755,605,072,050,686,401,101,195,382,
594,427,702,229,506,836,193,870,858,004,641,784,939,051,614,532,662,940,813,
815,604,592,841,836,469,606,963,449,835,577,871,104,738,895,770,694,101,603,
178,760,036,741,731,329,155,242,392,140,507,837,102,709,319,794,131,548,310,
498,177,280,707,694,230,141,195,290,200,501,905,865,101,577,245,068,799,072,
415,662,224,229,107,333,238,140,083,937,854,271,450,274,426,405,923,932,526,
847,736,630,561,135,111,379,176,894,814,134,462,107,214,258,001,216,353,567,
555,573,654,550,329,133,506,984,186,838,982,986,975,664,529,914,042,811,349,
098,608,242,901,718,409,408,325,239,626,381,679,112,549,673,734,672,250,000,
940,757,266,978,973,411,002,586,006,453,546,320,107,535,230,828,721,395,737,
290,406,235,787,967,314,031,665,709,615,117,462,476,144,422,407,157,334,919,
801,889,245,929,641,311,915,244,955,239,845,327,535,348,537,099,021,814,462,
313,892,741,185,666,665,750,027,595,164,614,747,804,477,680,712,260,021,613,
246,138,415,031,685,827,637,732,567,677,069,431,810,467,941,201,469,854,735,
140,720,273,392,159,721,436,353,833,813,284,967,302,960,667,600,004,848,484,
567,225,435,028,339,773,783,238,099,755,843,062,610,641,438,165,476,442,251,
317,201,298,600,682,670,832,944,297,218,436,201,484,525,621,810,820,355,784,
204,148,928,441,294,849,863,825,761,002,924,339,974,200,894,707,527,021,928,
360,959,019,336,819,803,917,233,507,945,909,746,302,932,726,763,676,147,579,
991,026,853,749,521,359,525,684,766,779,362,131,988,020,207,618,627,055,255,
696,261,472,482,723,927,309,238,366,311,876,924,227,322,329,310,835,576,357,
361,236,599,683,754,711,690,732,530,647,308,262,760,515,532,168,678,741,152,
774,688,196,925,932,227,161,654,043,441,382,104,734,134,114,940,431,545,890,
548,648,310,991,505,880,312,557,556,600,458,835,844,064,707,596,759,900,588,
338,782,094,995,684,751,674,986,687,943,512,132,213,474,705,494,127,647,959,
321,995,289,636,547,208,199,451,150,337,935,619,086,402,181,191,414,524,796,
886,524,147,288,369,449,330,120,105,700,898,529,442,932,262,318,524,345,180,
350,194,950,266,634,363,260,482,578,178,605,311,666,925,619,427,131,430,006,
857,394,003,807,277,426,397,626,049,815,211,648,056,610,390,344,236,354,561,
040,419,584,318,861,963,897,375,274,716,318,055,445,544,471,619,582,254,634,
081,233,359,293,654,794,595,452,475,399,280,117,119,188,487,834,051,586,737,
738,390,555,369,860,768,651,889,520,110,229,896,073,841,312,441,377,436,839,
445,276,960,445,779,575,289,957,942,769,945,019,626,048,965,747,102,013,462,
918,270,939,041,629,627,091,781,530,434,813,996,665,630,770,726,926,884,761,
745,713,041,859,919,010,763,675,468,367,563,581,650,854,640,751,868,392,148,
892,336,585,102,026,726,152,560,099,095,227,700,576,089,978,830,608,044,932,
381,373,612,046,796,771,617,052,403,922,630,809,960,955,873,760,240,759,419,
260,092,227,695,513,030,929,137,589,494,269,335,967,799,637,516,068,729,259,
947,617,894,040,622,603,109,539,569,251,882,559,487,262,132,335,114,409,660,
179,869,211,666,760,907,245,271,759,942,070,350,705,126,437,304,498,507,024,
095,807,281,216,925,871,254,080,408,473,616,418,035,136,425,936,597,651,024,
818,068,547,404,514,239,692,432,179,374,850,805,063,688,250,626,457,110,596,
563,375,435,273,426,538,284,635,810,816,846,351,082,555,534,406,969,210,652,
188,806,216,260,428,668,666,208,958,931,095,685,213,150,551,649,908,195,622,
183,303,450,047,961,844,112,061,608,745,713,571,548,877,233,977,691,906,128,
008,712,573,321,072,430,939,582,096,325,063,217,839,735,817,624,878,988,421,
310,764,956,697,995,368,963,444,893,307,147,529,803,820,666,716,351,467,702,
917,966,017,102,507,489,152,378,988,714,405,842,055,606,037,208,826,703,434,
492,980,866,169,539,407,104,307,944,434,577,252,558,872,523,269,172,023,791,
937,071,769,943,707,127,403,553,747,385,202,773,115,402,814,738,491,630,988,
454,271,777,926,560,842,631,614,456,869,434,944,782,204,154,925,733,204,059,
449,083,250,185,937,124,247,817,846,981,201,707,378,201,618,259,703,937,568,
785,013,647,183,261,494,678,427,993,877,479,086,604,058,529,189,133,418,121,
818,427,075,412,121,766,455,347,296,251,403,817,548,572,204,095,446,721,419,
711,891,792,025,482,127,808,279,903,901,532,786,922,293,932,274,367,546,810,
313,981,267,328,637,048,030,391,055,589,995,269,590,977,661,374,829,924,902,
051,919,122,889,852,955,110,736,741,501,499,231,117,683,441,725,007,522,441,
409,372,614,624,791,171,496,393,726,086,882,972,491,300,109,354,739,126,848,
759,287,997,224,700,466,115,687,013,546,326,479,412,037,540,762,406,689,453,
140,973,046,819,683,331,463,930,601,296,832,091,374,785,161,970,490,666,455,
227,177,192,606,131,851,420,909,008,057,822,015,080,871,000,852,679,553,698,
444,233,138,798,488,708,368,776,200,359,816,887,616,769,324,663,604,417,946,
914,655,721,607,317,851,051,296,786,439,214,455,882,176,145,660,785,824,398,
719,229,855,793,575,590,417,322,217,396,705,033,749,929,264,912,731,997,853,
812,673,649,247,645,765,903,750,323,095,521,964,476,310,306,713,357,701,988,
032,854,438,956,976,509,998,860,599,231,474,126,012,038,220,565,807,437,393,
242,984,229,281,666,599,187,717,570,374,442,958,083,494,298,054,696,331,209,
352,193,709,198,046,169,987,663,885,455,853,685,879,369,007,433,532,641,203,
472,785,190,571,378,788,711,416,804,644,792,400,420,636,443,008,213,162,391,
455,395,909,077,051,781,690,372,409,091,450,610,768,887,915,359,725,690,337,
349,238,576,088,473,813,547,901,836,830,831,620,602,757,838,376,335,221,536,
357,671,491,436,463,103,072,223,560,485,680,789,746,876,165,885,785,224,259,
303,460,542,438,996,936,826,396,605,465,447,919,823,575,055,446,623,514,486,
271,052,633,902,642,391,802,578,496,749,624,357,098,420,894,702,694,352,405,
958,179,862,665,152,413,254,043,826,986,498,645,233,736,534,215,693,274,553,
809,849,405,080,000,645,824,269,297,399,457,640,475,426,653,162,141,075,009,
465,879,802,147,140,822,367,922,354,268,399,688,460,935,237,255,841,500,318,
501,411,545,176,397,753,628,120,948,913,834,506,436,948,412,063,078,893,265,
864,786,681,402,240,364,346,744,092,666,963,226,469,856,975,731,216,650,992,
758,188,368,514,783,758,768,671,442,773,037,473,171,169,691,350,255,682,291,
952,763,197,767,518,163,290,378,367,773,925,319,555,446,689,897,958,963,911,
166,312,099,300,232,176,781,787,403,630,759,488,261,143,608,512,791,432,303,
650,295,492,487,290,134,917,490,618,406,348,606,113,143,361,929,992,385,321,
720,321,295,546,273,742,323,626,193,290,790,241,866,363,012,559,383,490,422,
797,058,888,233,765,723,449,026,622,039,943,800,010,122,814,338,871,120,668,
923,941,041,717,823,667,408,532,099,151,016,526,232,970,016,280,454,537,390,
347,227,309,802,915,776,352,879,209,647,240,370,455,749,927,818,113,458,693,
829,802,987,594,261,805,764,888,234,406,627,590,807,291,842,441,828,564,897,
910,696,811,934,888,909,760,797,274,419,605,647,668,533,056,167,809,394,503,
647,344,682,814,332,799,407,334,068,675,146,118,393,809,923,085,430,416,919,
613,395,227,948,447,751,315,454,942,351,524,013,702,963,163,100,806,106,299,
694,540,240,892,211,152,009,283,886,618,587,572,921,001,372,246,498,580,844,
485,484,065,935,825,457,525,466,059,325,478,907,233,351,054,188,232,391,893,
678,828,207,696,082,829,797,231,541,990,194,138,130,594,323,053,511,626,083,
715,295,765,410,859,464,263,688,154,216,573,438,876,836,369,782,377,766,590,
322,826,999,716,683,035,712,945,586,228,886,251,445,819,528,028,849,330,323,
935,682,039,779,231,074,319,025,499,323,939,080,212,412,461,050,453,618,778,
797,975,694,060,422,571,465,108,502,795,548,051,062,141,611,055,147,976,044,
736,335,321,451,873,820,448,876,929,126,977,483,569,363,801,398,563,576,933,
635,146,196,575,584,118,264,909,458,985,974,796,498,630,548,598,617,727,541,
634,825,234,631,645,736,803,962,374,091,907,077,909,113,067,600,394,530,905,
091,252,630,185,593,809,124,966,499,306,604,232,056,953,061,347,127,524,827,
837,672,977,709,531,559,605,174,608,852,374,053,762,977,288,718,652,221,666,
293,859,213,420,209,076,343,506,963,284,085,403,610,787,011,672,671,996,258,
324,163,196,692,764,852,772,980,237,462,108,430,885,206,011,851,156,322,268,
789,242,449,174,821,373,472,134,934,062,525,147,087,696,259,976,689,040,958,
263,300,664,951,192,812,508,096,197,314,099,713,562,721,069,871,554,482,770,
061,775,777,220,839,345,103,933,891,793,907,489,734,043,823,135,711,753,507,
228,429,470,618,796,506,866,046,851,989,573,558,658,247,247,170,656,992,988,
551,871,940,143,486,061,268,024,957,499,779,336,505,871,188,083,047,538,292,
300,563,280,095,603,318,694,520,988,202,374,938,829,648,850,127,653,654,633,
152,897,345,876,873,807,072,140,827,878,031,164,312,632,730,504,070,600,601,
445,734,913,166,206,289,795,213,797,992,118,470,378,375,032,907,095,162,713,
291,782,995,713,613,164,893,825,614,265,075,424,101,001,354,538,469,485,731,
706,235,925,816,291,607,184,866,341,341,293,823,636,245,690,915,400,359,328,
258,293,339,980,353,055,234,905,896,939,381,605,781,141,293,425,030,771,091,
871,136,373,919,830,572,149,081,937,337,406,201,914,287,186,230,526,550,955,
286,137,682,626,297,167,920,475,004,958,036,623,492,384,596,112,487,825,989,
950,691,794,678,078,414,071,782,512,767,440,950,975,533,098,784,495,877,528,
765,854,113,754,100,548,023,726,510,338,539,552,022,170,818,226,762,755,049,
359,772,913,583,410,534,847,425,185,503,672,344,704,622,780,378,877,911,353,
821,433,405,536,524,784,961,679,045,074,500,534,703,188,329,834,854,189,269,
833,642,377,643,977,965,019,220,097,059,202,395,982,456,240,032,844,945,593,
873,739,708,744,537,851,214,493,566,313,861,628,720,393,234,939,004,394,018,
830,619,937,276,950,922,060,518,445,058,618,303,609,683,078,237,353,403,981,
866,348,177,301,372,364,722,074,115,043,503,690,968,493,671,210,728,015,475,
546,529,100,918,223,970,204,626,090,241,017,345,503,089,068,759,013,352,053,
318,228,711,366,812,570,918,387,187,918,315,003,133,544,549,779,479,256,216,
321,405,394,870,399,442,477,315,316,864,295,714,405,772,979,910,335,302,547,
223,221,865,488,747,216,277,299,256,338,306,661,378,742,357,177,507,741,496,
939,679,397,234,736,619,395,145,298,557,871,885,127,306,361,572,340,392,452,
929,432,374,874,446,185,664,851,727,948,208,565,566,075,845,898,009,915,868,
522,734,843,194,316,561,523,453,446,938,144,421,912,626,259,860,307,324,027,
265,054,083,826,758,146,101,998,269,883,101,774,239,460,753,097,084,999,451,
361,904,737,538,956,992,408,954,655,155,979,040,711,623,438,710,874,820,212,
424,401,748,002,210,047,510,847,203,304,635,094,667,191,634,963,853,900,006,
667,837,195,265,309,542,915,884,626,820,335,028,706,168,327,637,348,010,920,
049,045,757,879,421,072,724,922,742,219,101,853,563,972,393,905,710,246,780,
558,410,180,685,491,205,090,610,853,836,777,125,564,547,490,813,768,201,228,
970,733,918,539,513,847,341,675,799,108,234,990,316,717,265,176,699,574,197,
613,366,298,995,985,281,529,801,479,090,086,530,759,106,361,514,655,396,645,
555,635,048,402,780,602,949,078,067,649,500,385,173,019,553,703,402,988,726,
479,688,747,760,268,373,881,681,729,834,948,309,629,137,927,683,364,008,437,
413,475,805,898,225,888,562,517,744,041,336,069,674,812,684,795,677,021,963,
287,728,206,669,134,992,571,549,669,565,305,721,854,349,052,537,769,606,077,
333,043,329,612,848,499,423,407,720,880,878,075,277,173,307,191,842,688,163,
054,114,543,680,087,949,503,856,692,063,853,820,841,547,688,247,412,804,045,
440,649,355,773,429,405,753,970,719,794,568,036,687,234,975,145,396,941,504,
795,657,302,799,158,639,682,884,155,286,146,954,489,774,660,887,066,796,953,
565,301,330,753,019,881,880,700,919,690,031,199,373,402,969,911,362,796,713,
516,105,949,947,271,411,384,692,287,257,124,777,122,772,665,313,198,326,636,
446,127,486,343,407,011,212,575,439,841,266,314,175,535,014,177,570,951,214,
056,616,456,335,319,830,315,185,812,318,181,935,644,126,423,936,051,867,961,
621,890,127,395,006,796,768,741,910,358,971,728,438,304,294,412,940,554,058,
940,287,519,294,290,245,065,347,819,235,903,917,449,955,625,199,538,728,936,
020,457,475,803,353,510,391,579,120,567,665,911,244,039,660,038,282,652,229,
257,618,945,527,028,633,303,085,381,932,381,553,965,400,025,615,533,225,485,
358,326,434,589,188,909,157,701,725,826,726,033,421,118,830,856,254,016,209,
377,308,385,740,442,238,399,656,366,355,414,357,044,845,064,019,613,509,212,
205,616,411,213,396,236,442,952,553,724,162,026,336,825,751,485,661,469,473,
638,291,985,299,737,026,150,464,182,202,291,102,099,600,384,733,933,136,083,
479,546,043,689,225,526,479,842,909,291,213,180,407,578,175,850,006,735,431,
464,585,760,026,727,618,570,080,636,134,446,200,107,968,743,295,016,750,220,
905,183,078,087,728,497,893,020,885,936,848,404,146,527,586,160,047,980,136,
804,398,414,710,367,590,806,782,660,979,976,686,594,234,729,659,060,934,120,
520,890,127,965,279,815,901,061,010,555,476,985,960,956,519,709,268,382,933,
938,292,959,297,658,326,025,190,643,249,737,097,994,478,458,686,904,096,082,
384,023,635,325,205,036,008,743,987,726,514,235,890,259,559,119,819,267,993,
927,026,318,358,667,685,733,079,499,158,122,167,398,881,958,671,423,805,477,
414,066,754,196,641,849,320,668,161,302,130,971,953,564,895,071,331,731,878,
313,704,160,591,095,692,436,052,488,398,149,685,371,956,105,271,860,286,628,
718,925,835,193,623,535,186,417,348,509,833,062,969,823,337,456,322,832,559,
453,936,016,703,947,357,415,647,255,185,697,787,956,630,804,854,919,101,905,
923,112,986,691,105,172,129,697,190,095,210,587,923,663,741,268,507,792,035,
223,938,815,256,822,085,510,922,890,570,428,995,622,993,362,660,333,140,615,
312,175,093,073,928,267,737,855,895,387,830,339,256,963,002,068,003,722,360,
160,778,645,964,507,493,375,443,768,345,501,452,296,103,706,774,998,041,277,
621,270,872,752,853,727,555,024,835,588,304,987,184,077,219,573,622,399,832,
488,620,237,584,952,352,411,427,229,151,323,917,430,863,125,151,965,276,668,
813,043,787,506,062,380,809,290,237,162,894,101,392,006,820,212,132,953,558,
663,476,797,700,937,998,676,991,466,254,853,221,194,097,409,635,160,777,522,
311,307,062,880,895,582,441,122,425,923,461,055,587,413,210,417,169,728,978,
417,826,697,978,402,157,623,244,847,932,000,555,273,136,298,514,465,729,657,
517,740,730,621,750,263,329,491,202,821,876,374,542,913,211,348,121,480,136,
215,306,192,989,726,071,598,212,527,866,248,561,568,150,885,327,385,960,705,
276,121,234,797,964,220,438,480,192,671,764,732,631,657,306,329,284,858,787,
192,783,417,178,162,466,539,082,302,002,037,434,087,102,484,940,699,646,104,
404,973,808,628,561,704,062,240,103,497,583,633,662,838,895,448,306,416,443,
124,429,627,137,185,541,056,872,927,071,053,807,738,082,216,384,678,878,272,
932,091,915,389,142,164,133,527,364,173,523,480,862,879,226,188,643,897,349,
872,415,703,886,240,833,696,052,819,118,122,575,438,633,520,820,867,606,620,
151,212,580,359,826,160,236,677,975,275,481,759,761,613,198,784,608,539,178,
751,435,730,441,099,176,265,554,040,887,622,963,793,799,237,053,210,523,842,
775,314,640,434,720,720,640,566,125,208,823,715,157,538,251,527,187,695,148,
793,642,709,666,418,172,561,787,268,452,715,283,026,442,838,887,481,833,262,
120,828,985,380,024,451,522,629,816,647,631,681,221,964,887,906,026,939,892,
619,823,315,131,921,038,309,480,110,878,076,613,583,869,643,161,610,244,763,
089,989,115,571,922,775,244,889,419,769,884,475,511,571,954,323,168,902,041,
868,578,884,682,335,126,565,496,029,174,949,239,978,221,135,418,508,695,862,
559,882,773,818,605,351,232,332,458,574,663,955,952,453,484,926,470,421,363,
858,350,108,476,483,631,952,298,253,755,135,577,499,211,712,566,403,529,530,
797,514,758,692,931,939,800,595,218,964,498,982,614,892,267,608,621,497,328,
139,625,695,664,257,558,243,695,966,725,718,217,047,407,332,704,664,792,364,
199,947,028,795,864,368,947,499,864,009,253,201,978,826,464,105,051,526,409,
411,541,881,825,760,084,627,402,022,025,703,707,850,039,626,644,811,133,276,
772,573,506,676,624,190,940,186,894,831,809,093,292,964,012,137,102,513,086,
996,174,697,829,627,066,395,767,543,227,520,492,204,090,179,821,608,360,008,
792,222,333,498,787,679,104,358,339,699,490,405,726,047,861,732,617,435,862,
440,822,142,651,960,063,017,708,674,189,728,543,236,786,746,978,353,468,679,
112,184,226,216,377,090,574,836,810,471,413,407,813,525,427,063,338,524,984,
121,604,179,234,470,314,655,860,149,039,161,651,273,508,911,696,505,317,118,
018,570,489,207,522,357,909,462,127,044,022,923,533,309,130,307,563,416,251,
444,100,209,674,202,960,961,385,575,558,452,460,692,985,148,012,279,278,765,
201,591,607,175,866,033,032,090,602,802,919,655,608,979,228,692,366,667,356,
762,491,604,809,381,022,414,907,983,994,467,862,415,676,502,781,597,276,370,
627,232,618,051,342,449,715,160,872,595,639,356,734,668,982,117,304,431,491,
265,416,806,758,543,795,701,170,921,094,394,678,760,953,929,109,718,769,979,
146,959,077,613,231,827,998,988,227,585,389,134,498,495,528,410,342,563,584,
880,177,740,443,101,821,795,035,418,300,265,481,956,830,272,052,285,897,378,
137,391,042,609,470,875,286,637,698,988,636,527,999,314,617,401,411,809,351,
761,927,675,618,192,905,962,116,759,965,807,016,070,450,119,082,317,029,214,
451,321,976,329,972,527,675,500,374,149,068,313,118,321,967,670,238,925,298,
362,873,736,959,287,194,576,376,406,268,104,563,060,304,639,901,143,361,160,
871,445,625,212,869,353,970,752,750,584,066,703,111,353,245,429,368,339,642,
218,693,346,111,812,624,283,052,750,770,015,924,052,356,582,960,319,077,326,
413,668,956,430,030,891,796,012,250,868,764,210,629,214,121,209,300,145,594,
218,274,767,195,530,100,054,653,282,629,898,719,553,119,500,574,649,338,413,
020,875,178,040,709,328,974,743,061,865,934,617,701,195,746,812,507,263,628,
823,686,075,547,522,564,681,039,617,870,519,216,609,983,831,734,483,496,141,
224,755,376,742,429,467,810,189,535,986,457,886,015,848,174,392,527,559,165,
809,023,037,336,391,430,468,668,622,010,313,073,777,507,053,419,456,038,888,
210,501,898,348,025,221,804,282,467,879,115,800,760,718,600,239,074,564,622,
069,495,422,493,119,156,805,210,280,622,808,204,846,613,019,942,605,911,889,
254,863,843,524,490,507,092,045,385,341,755,191,274,453,546,069,685,352,216,
772,550,237,693,365,815,578,261,279,030,506,489,789,978,084,150,172,511,320,
124,120,820,871,337,822,564,213,641,527,960,006,049,409,731,041,043,944,332,
893,184,739,647,431,343,725,337,488,011,753,903,872,417,282,920,679,937,718,
425,300,426,432,344,983,046,785,044,655,781,543,918,347,180,762,857,445,225,
055,910,308,585,469,893,590,219,625,895,877,286,549,268,619,755,286,430,668,
849,152,227,937,429,318,841,796,635,021,914,742,197,699,002,331,087,125,757,
051,394,877,221,858,308,999,265,221,179,353,362,376,339,492,633,766,102,840,
807,904,974,677,432,077,691,412,390,318,417,469,753,993,409,352,577,552,619,
104,977,511,384,893,541,052,193,710,840,048,842,221,097,158,422,654,579,714,
429,594,587,732,427,395,372,310,455,050,604,135,514,211,845,612,745,677,037,
308,038,575,041,217,269,945,972,062,222,388,776,476,457,290,931,665,700,177,
716,713,133,563,726,384,763,140,337,282,355,406,354,830,635,464,847,978,064,
905,677,403,855,620,585,855,026,187,875,113,180,125,336,301,799,695,606,446,
403,974,817,984,128,849,826,870,202,859,106,910,076,149,040,941,093,473,330,
853,895,668,051,681,110,053,770,260,369,090,992,173,350,923,756,234,608,609,
043,942,884,713,153,096,744,041,953,432,374,133,311,260,466,311,685,376,924,
384,436,951,981,464,782,779,741,175,668,185,235,530,184,907,460,335,788,830,
453,597,888,997,268,332,398,315,235,726,232,246,407,571,693,160,830,878,326,
391,161,855,295,143,689,274,915,267,339,708,904,562,929,657,680,699,715,366,
115,730,535,283,902,848,422,920,240,139,849,757,815,797,090,556,250,927,756,
158,442,739,915,675,822,800,982,833,620,870,304,013,248,969,550,793,027,363,
695,359,429,239,915,848,663,840,550,855,746,014,744,407,265,954,685,664,567,
430,872,512,416,741,799,368,440,207,393,369,379,193,055,055,628,197,172,306,
501,321,378,292,336,641,052,953,436,236,918,489,362,332,494,321,239,065,241,
434,299,962,540,743,603,371,404,787,640,543,267,050,817,918,114,760,190,824,
652,075,315,851,650,038,873,505,346,533,260,746,257,692,068,217,370,253,107,
720,876,541,881,714,739,071,772,796,215,448,284,720,326,366,490,184,370,121,
398,753,627,789,090,688,668,508,969,476,839,048,684,674,777,897,334,658,883,
303,735,825,930,993,637,536,787,723,019,715,240,904,455,827,007,197,674,090,
027,239,772,244,097,654,080,526,189,375,494,945,508,167,176,144,187,402,952,
887,907,346,052,770,786,177,050,476,036,514,343,103,578,962,875,572,963,504,
145,587,684,064,094,338,959,294,304,183,862,521,945,677,049,731,599,897,646,
690,676,443,896,371,839,287,136,047,604,949,793,638,346,873,947,824,166,546,
524,490,059,008,026,598,086,619,152,103,738,837,816,751,619,485,721,891,136,
326,741,446,276,449,714,879,457,005,715,694,478,055,097,918,846,467,333,539,
422,905,135,008,604,743,769,799,210,008,969,390,469,523,105,197,314,029,089,
827,379,473,562,438,828,278,194,743,519,493,983,680,720,286,318,165,476,617,
518,230,434,189,959,038,257,982,748,014,751,152,093,050,036,871,700,866,356,
334,587,582,751,887,556,616,500,963,297,500,723,646,728,019,062,905,987,917,
201,060,510,006,930,828,712,269,587,810,240,835,411,697,295,055,525,320,665,
350,288,019,311,590,881,325,461,377,924,511,273,400,108,461,380,663,888,504,
901,275,624,825,494,857,852,174,682,846,076,750,800,048,902,279,002,549,621,
820,422,484,939,197,620,464,943,000,518,424,586,579,406,982,397,104,987,960,
184,607,391,282,976,052,086,295,002,823,957,363,711,001,523,822,167,442,000,
729,092,857,545,555,282,889,014,013,700,417,639,014,618,083,495,259,368,484,
855,237,754,906,355,406,537,323,226,544,713,552,760,665,878,992,854,280,942,
871,795,355,853,012,179,877,161,708,922,350,749,704,337,689,359,743,418,383,
567,477,539,727,846,416,074,585,437,949,863,658,864,377,116,614,269,517,711,
932,299,732,289,353,535,588,151,483,836,912,130,778,880,641,295,013,861,963,
031,780,909,248,801,774,267,006,170,142,800,908,637,035,686,713,089,346,656,
011,581,066,667,015,780,957,785,048,326,075,536,898,124,316,761,184,228,121,
873,284,366,942,876,628,964,506,251,433,073,483,079,806,820,842,471,465,755,
340,537,063,909,438,054,250,346,473,792,993,848,260,473,445,421,898,426,025,
099,900,365,114,061,834,313,811,565,851,474,318,203,511,052,603,626,811,067,
961,614,506,865,275,569,213,016,864,373,777,072,560,063,286,935,198,775,172,
549,091,965,536,706,058,869,639,486,621,473,188,886,925,024,134,147,469,899,
607,527,499,718,673,670,961,880,438,217,031,707,011,974,888,926,447,806,184,
373,781,995,396,893,483,230,086,490,480,094,323,519,162,342,736,352,437,173,
221,455,934,330,971,801,433,161,753,313,777,034,787,153,557,797,789,484,330,
905,480,514,157,341,834,180,647,517,674,956,692,236,695,437,007,125,236,328,
660,489,589,509,070,491,638,471,725,960,816,479,438,324,673,965,346,771,424,
369,243,861,961,132,133,713,859,832,306,428,369,823,697,908,158,476,571,871,
082,330,330,392,999,390,382,880,374,129,961,256,432,215,593,581,255,374,261,
560,066,459,554,179,559,053,235,568,121,334,071,607,419,588,158,843,742,221,
689,772,516,111,919,793,874,571,975,692,385,731,586,892,335,553,411,557,758,
212,138,808,169,486,536,965,801,829,954,398,745,972,270,877,166,622,577,138,
879,294,369,159,428,394,145,299,840,907,718,316,420,814,177,826,377,430,361,
846,597,110,455,040,322,125,385,905,762,708,728,779,973,458,518,275,314,234,
544,537,113,095,637,155,126,590,150,070,392,103,225,666,808,193,726,362,032,
333,672,443,894,107,532,800,321,471,075,418,554,977,398,433,922,908,924,276,
217,836,016,446,204,493,196,315,345,555,974,265,116,161,690,478,963,160,625,
895,294,535,679,593,994,317,578,580,174,842,077,464,371,898,404,151,997,257,
665,331,273,793,056,019,631,744,569,087,355,065,059,382,521,603,299,468,758,
502,507,555,765,335,687,153,827,023,330,864,601,784,918,195,115,569,061,542,
243,410,840,905,239,788,804,179,473,715,514,183,891,397,088,669,474,882,814,
655,582,191,956,716,152,570,616,709,461,742,223,271,211,049,356,719,597,395,
019,233,318,166,406,035,833,864,891,271,256,701,153,886,409,340,420,469,091,
715,645,885,402,027,309,468,360,461,427,905,214,876,364,040,777,821,539,852,
955,223,420,296,463,212,357,049,511,910,860,528,365,138,017,270,067,917,566,
616,400,775,336,668,915,229,463,150,363,063,692,083,465,587,621,991,589,740,
094,232,145,401,696,930,670,638,642,432,955,513,990,884,237,930,786,938,509,
517,679,488,670,739,740,002,644,402,345,685,168,442,871,746,916,262,743,822,
792,111,932,371,466,784,035,643,923,031,861,613,476,731,063,779,483,758,113,
785,874,857,353,625,133,047,158,463,776,311,431,092,474,523,697,468,112,202,
061,306,752,359,643,359,564,947,980,113,908,525,802,540,139,917,169,300,796,
254,417,746,181,099,063,133,938,406,457,394,095,902,365,464,782,247,413,187,
693,367,700,831,819,012,130,611,056,549,993,046,032,863,683,217,156,831,605,
375,861,583,271,670,880,124,779,144,189,128,049,899,831,178,890,428,201,316,
730,745,364,105,078,885,118,292,731,742,504,695,684,828,151,619,990,475,438,
067,191,710,406,492,519,093,309,556,498,954,164,267,758,456,085,951,662,659,
320,954,918,496,708,501,588,846,781,936,275,116,469,833,629,855,249,646,585,
521,284,732,375,739,019,875,183,768,782,553,488,988,743,437,147,471,134,741,
898,108,821,334,193,568,942,448,116,022,882,406,937,428,120,743,461,473,930,
733,753,464,244,436,281,083,501,398,484,926,276,176,336,125,010,277,260,251,
970,027,265,630,731,777,289,999,392,523,623,660,796,704,450,904,199,956,140,
528,558,785,826,501,668,936,618,034,297,351,618,434,850,513,652,004,225,069,
812,523,289,416,587,542,933,397,388,915,120,182,553,613,934,361,043,540,709,
730,019,105,201,627,603,581,690,357,524,786,296,747,980,595,117,140,580,461,
562,059,690,494,380,331,008,096,141,555,128,781,998,161,209,388,386,827,662,
817,807,989,734,890,770,861,703,920,699,302,393,974,092,415,804,559,632,845,
475,325,629,597,815,657,248,330,091,145,255,907,149,166,288,118,571,959,374,
996,793,280,478,138,604,852,372,639,304,287,469,337,177,007,926,144,458,679,
524,918,243,407,806,737,720,522,461,835,465,359,636,123,845,160,888,075,531,
846,752,605,161,897,558,520,678,761,668,674,247,343,504,479,366,440,867,274,
851,648,135,666,077,489,669,264,721,403,566,659,923,928,687,399,734,568,004,
578,690,100,809,766,855,085,208,775,387,495,840,431,509,979,754,853,397,956,
833,008,262,577,739,728,071,611,738,593,252,136,542,438,512,432,621,400,108,
754,041,563,180,074,252,793,873,869,427,416,894,317,616,389,119,133,107,659,
033,897,073,399,575,379,025,739,439,546,142,783,181,265,409,867,697,700,227,
989,761,515,420,245,415,468,395,324,078,087,616,302,391,401,303,429,588,203,
062,354,121,134,505,398,417,824,325,713,837,631,642,142,574,747,208,069,829,
485,780,675,140,440,024,663,865,905,652,244,074,210,674,912,796,523,741,480,
815,196,324,341,353,546,665,629,625,096,824,826,965,488,402,687,583,662,413,
310,436,792,943,839,358,602,980,372,090,896,246,568,736,660,745,414,048,196,
152,974,818,278,440,877,150,033,762,191,592,080,702,019,819,940,225,161,183,
635,731,761,069,017,098,693,402,650,775,056,185,446,361,388,525,385,782,982,
270,373,545,148,406,612,559,191,831,747,707,328,096,335,269,262,710,876,685,
131,545,579,723,652,274,637,561,758,007,587,415,121,180,837,346,796,647,529,
279,742,312,801,348,302,976,330,021,949,775,426,647,251,519,091,802,989,902,
394,647,023,471,026,503,481,337,882,525,282,416,635,878,383,318,157,177,873,
077,468,792,283,366,435,021,322,275,973,363,930,358,990,340,890,154,850,214,
544,035,771,747,060,351,761,747,169,356,487,356,908,787,159,448,859,387,267,
422,046,650,931,326,506,929,509,211,416,704,396,250,014,767,457,137,646,099,
241,354,612,200,121,406,967,525,778,583,323,288,110,956,000,108,411,343,289,
248,172,729,440,529,699,862,540,794,328,969,467,756,984,131,872,691,635,758,
923,438,290,953,002,658,469,280,202,986,749,675,153,132,454,308,727,328,078,
602,120,135,620,674,473,155,038,587,897,817,602,628,203,644,932,777,314,343,
469,500,903,450,749,923,506,323,428,256,847,279,304,921,336,098,739,273,655,
561,134,841,724,853,927,619,181,091,470,474,816,078,985,144,903,997,911,551,
396,229,475,755,559,601,643,842,902,790,779,128,207,632,834,828,957,174,931,
707,417,725,992,209,423,020,794,673,180,705,172,102,788,761,488,736,581,141,
727,315,671,693,906,471,778,273,972,909,247,792,335,312,902,239,937,843,270,
439,731,960,867,386,745,523,748,219,516,392,926,269,389,187,664,701,921,306,
253,107,577,891,485,718,661,321,645,577,691,341,998,265,211,166,284,456,471,
685,603,078,169,031,044,688,400,103,268,472,534,212,485,686,801,160,772,829,
356,585,310,514,198,651,592,657,268,790,677,981,380,881,900,894,058,003,098,
164,613,922,031,637,314,614,658,144,693,853,355,995,377,700,450,489,495,617,
717,386,319,767,380,183,719,014,149,532,294,657,302,708,219,775,819,659,740,
514,880,253,830,512,383,811,221,987,019,136,824,626,802,484,483,352,629,721,
265,421,297,503,460,756,690,159,122,709,668,859,276,630,201,236,750,993,386,
699,617,591,623,482,379,574,332,664,763,318,357,562,336,820,571,132,645,597,
361,126,405,481,675,828,667,398,877,473,896,220,445,856,815,293,168,472,672,
985,309,095,948,354,013,928,539,611,592,962,956,262,348,496,451,225,016,194,
890,456,899,082,768,610,423,178,368,191,181,513,917,416,073,125,607,549,591,
590,393,035,237,656,748,982,876,699,741,076,204,306,396,137,987,871,440,353,
048,487,936,776,458,520,576,743,963,815,715,781,545,516,650,084,564,976,605,
605,777,508,529,941,499,473,688,458,519,194,122,235,904,370,285,096,121,285,
476,724,826,062,360,179,200,351,850,499,457,276,172,495,482,788,089,294,452,
113,866,739,843,968,952,264,900,103,250,642,137,275,899,437,886,979,122,377,
144,071,185,470,293,969,632,471,520,996,058,255,523,014,019,115,185,114,259,
468,372,556,387,418,804,086,106,497,848,288,933,608,825,227,112,498,616,500,
666,130,671,422,021,555,348,190,422,297,642,619,769,164,749,885,665,270,687,
050,818,554,995,300,710,468,109,048,264,595,697,655,816,917,744,609,239,415,
300,703,641,253,330,299,385,770,404,477,757,781,320,532,137,084,978,172,628,
925,512,638,866,799,813,217,294,991,335,502,897,157,919,255,015,656,247,098,
905,627,156,967,946,562,929,263,400,486,962,659,829,865,193,178,637,041,671,
838,140,128,366,880,081,334,364,329,681,239,186,761,921,608,636,516,470,995,
977,504,276,251,648,639,166,771,972,068,688,466,378,612,557,456,557,016,188,
174,146,120,093,778,778,606,677,664,597,040,335,769,614,250,570,387,922,098,
441,068,965,108,683,668,207,444,544,208,377,255,816,118,870,241,144,445,250,
406,373,294,899,308,772,289,320,564,954,092,518,362,568,312,278,285,746,021,
339,571,956,896,184,568,697,319,971,749,761,989,333,522,581,744,575,577,797,
538,642,248,632,404,048,182,298,846,420,934,152,216,829,840,138,067,741,149,
838,161,574,694,285,918,530,828,249,860,339,189,690,041,657,211,999,430,664,
993,276,351,368,398,716,772,077,794,297,159,813,595,343,299,554,694,251,228,
251,032,042,251,442,554,216,434,139,223,148,455,268,044,248,037,695,521,328,
728,259,665,929,095,397,510,722,937,171,915,845,423,327,350,371,360,721,390,
612,261,855,732,450,522,583,822,481,043,181,372,986,436,945,041,099,378,968,
530,521,634,364,375,586,474,603,392,032,290,295,245,129,583,674,143,613,648,
857,201,492,426,902,709,437,505,424,754,614,105,978,648,069,006,939,539,111,
775,368,033,599,830,154,368,340,987,091,529,173,665,057,963,135,373,342,216,
261,307,866,518,071,645,956,035,319,939,135,694,919,277,275,098,977,137,551,
121,069,975,089,610,236,804,454,948,898,633,869,892,497,938,830,003,503,973,
799,972,553,894,981,962,812,298,563,775,470,819,596,887,184,099,468,826,121,
020,320,469,528,731,977,867,633,825,915,818,075,853,771,085,560,765,781,228,
083,622,852,351,686,838,743,284,492,465,620,502,585,548,470,236,527,339,211,
165,764,062,684,161,503,285,976,199,030,178,203,266,385,430,300,478,799,696,
947,251,402,638,286,341,763,555,905,665,403,122,272,112,126,149,900,478,097,
457,448,979,385,412,568,895,191,640,054,025,454,215,240,255,063,798,799,806,
718,624,885,977,094,442,865,465,911,825,992,723,640,807,152,991,920,381,026,
808,584,044,035,709,984,556,054,269,433,498,183,713,467,665,231,060,789,304,
703,194,992,339,863,920,244,477,219,643,562,373,689,997,025,835,962,467,768,
066,969,161,765,896,223,392,564,538,244,837,040,097,691,474,868,364,254,434,
497,547,072,283,898,793,475,636,680,062,141,275,262,006,218,299,213,807,527,
256,194,840,467,701,909,958,076,917,566,348,814,733,059,400,741,874,109,254,
413,959,689,645,165,171,076,320,075,235,937,837,290,518,893,297,996,385,805,
461,893,643,498,002,980,234,641,195,096,017,036,147,250,964,867,785,540,578,
985,213,099,674,174,351,905,120,573,670,610,379,585,227,672,813,638,958,899,
696,061,097,980,901,890,984,198,058,174,484,752,437,988,855,042,513,631,876,
028,025,548,462,319,509,581,407,167,828,078,227,614,061,677,136,971,171,805,
574,352,517,429,307,874,832,147,374,247,502,836,339,164,625,415,954,119,059,
941,579,214,225,482,833,112,622,856,729,424,309,886,594,640,204,166,844,460,
795,048,566,328,064,702,573,745,498,031,617,566,768,077,875,519,568,066,521,
898,067,513,247,245,528,678,948,910,647,129,110,786,878,958,279,984,611,613,
413,507,935,049,220,703,198,497,834,367,994,124,029,305,286,808,118,486,910,
443,437,058,391,433,407,491,080,344,903,635,641,466,391,199,844,164,447,332,
596,426,977,475,745,663,589,958,850,804,070,527,678,035,554,526,363,424,214,
949,665,924,127,485,374,593,626,096,355,007,284,806,040,790,941,346,173,557,
546,341,867,284,716,773,118,608,495,742,374,009,123,227,179,851,091,423,258,
682,737,548,884,973,303,977,811,807,226,984,594,290,083,336,350,828,104,389,
909,118,632,227,983,504,542,883,213,035,936,042,882,219,932,493,086,360,074,
891,057,276,368,101,497,789,944,413,685,486,854,824,974,775,983,558,375,121,
532,456,744,234,389,233,599,469,707,207,384,512,124,176,515,341,083,976,854,
258,630,461,809,140,623,252,702,589,532,220,617,715,788,405,786,561,500,047,
533,369,220,947,427,429,379,899,126,628,303,709,482,532,016,740,285,153,237,
115,024,042,509,721,957,027,584,713,110,017,583,466,445,639,256,001,822,475,
693,255,467,253,637,733,277,557,204,978,187,019,666,119,305,469,539,836,781,
131,571,737,743,267,233,512,677,715,284,794,553,109,729,033,680,706,541,716,
700,037,980,794,072,783,280,480,133,105,938,549,330,850,048,549,071,083,464,
951,277,038,222,659,092,103,138,695,371,681,144,117,844,973,742,017,703,843,
664,302,325,866,143,475,171,447,160,949,989,499,408,848,071,899,923,809,016,
726,222,213,547,800,845,218,806,464,063,190,947,089,887,523,813,808,395,277,
647,368,185,151,078,934,220,161,202,286,675,882,069,819,032,501,081,771,768,
554,532,410,951,261,339,185,305,667,487,491,254,394,074,048,892,606,130,746,
019,825,235,111,427,812,189,127,635,620,568,734,944,381,843,034,933,545,711,
474,869,706,192,673,896,358,115,800,452,203,915,736,205,818,389,087,790,836,
785,864,223,712,016,615,807,898,155,720,035,257,135,670,618,066,769,599,409,
221,647,007,758,547,429,175,354,886,437,244,454,248,997,978,538,488,017,659,
608,769,840,927,583,779,278,288,899,075,719,664,239,872,560,523,073,937,070,
878,732,455,322,385,916,918,724,672,567,358,261,772,750,561,762,088,080,930,
208,429,269,454,340,386,853,447,008,910,552,659,990,619,453,024,652,797,548,
800,457,648,297,866,569,752,097,570,873,797,810,653,779,789,684,548,214,822,
134,397,597,906,141,439,910,880,626,767,462,906,871,796,376,038,624,437,465,
276,025,786,846,345,033,883,396,087,675,651,236,677,121,237,167,042,919,809,
626,343,914,161,394,345,006,200,340,863,493,158,949,950,289,505,213,227,850,
735,535,487,339,641,070,329,491,522,467,166,842,585,015,796,005,233,769,991,
488,333,023,333,042,609,888,133,273,391,869,286,190,474,799,443,891,338,904,
096,685,038,457,934,497,126,843,289,374,640,141,083,452,240,804,115,219,608,
063,410,191,195,248,454,235,914,660,492,337,106,427,241,102,891,896,295,054,
752,178,890,433,165,162,346,042,522,678,875,531,986,722,411,298,026,759,028,
062,991,146,021,305,160,285,701,147,539,281,179,476,838,481,006,363,257,210,
734,405,585,882,462,409,441,278,586,382,821,723,675,088,738,714,553,004,102,
710,133,980,812,107,592,356,874,495,136,734,567,099,381,626,760,994,814,875,
333,007,681,608,612,972,444,079,423,832,856,844,356,696,294,147,549,713,349,
541,186,052,641,080,842,224,693,627,867,820,320,462,408,552,898,335,742,618,
377,202,370,523,695,354,204,283,749,219,524,638,048,192,407,465,020,800,509,
463,948,266,483,801,681,661,690,811,047,804,182,641,664,771,075,620,776,116,
160,032,236,679,668,621,187,274,585,507,495,498,113,047,248,139,905,592,781,
827,074,300,417,888,721,881,098,442,487,622,688,001,544,929,703,474,507,378,
810,780,322,193,457,346,540,655,414,315,724,440,529,235,282,854,558,555,845,
239,516,059,828,925,711,134,364,812,481,486,713,706,915,755,809,418,817,083,
210,179,919,413,923,752,187,228,308,951,642,187,038,582,377,279,638,608,493,
641,792,309,747,237,419,331,888,134,978,635,605,447,522,658,028,513,286,960,
908,362,235,762,547,107,901,808,373,557,807,419,759,245,164,811,645,280,375,
648,263,987,497,446,050,873,417,713,031,669,502,687,824,498,103,145,250,537,
494,793,455,073,274,792,688,270,041,638,951,691,346,247,124,733,090,890,432,
521,588,140,686,553,089,968,701,979,457,075,774,378,041,452,191,486,327,799,
419,873,531,449,428,128,052,251,725,664,004,146,867,673,160,392,727,029,992,
568,428,486,523,769,978,086,080,376,471,322,065,796,380,161,835,490,357,469,
372,011,918,998,566,228,441,179,045,504,482,447,090,115,793,252,666,989,199,
825,233,710,213,633,737,980,297,763,619,287,420,765,704,716,174,016,179,312,
274,843,371,273,151,024,780,988,200,904,226,828,280,351,369,539,288,277,455,
932,593,408,313,228,590,122,671,532,666,799,682,370,337,257,841,972,840,313,
695,520,057,431,944,948,784,559,088,384,368,691,565,864,976,112,733,829,353,
727,114,728,559,999,601,251,347,669,748,045,900,228,820,052,781,498,128,219,
469,500,144,707,249,115,831,655,259,540,856,866,567,480,283,402,187,586,183,
335,364,620,267,021,638,694,205,083,569,521,629,717,550,180,781,239,998,447,
568,392,395,231,895,259,924,328,460,506,878,726,067,198,085,993,621,051,254,
338,031,836,418,311,001,025,700,484,476,373,518,037,211,244,052,378,178,913,
320,998,991,298,667,719,546,705,576,343,058,328,350,925,722,353,792,796,083,
036,085,487,944,445,499,102,855,591,771,347,620,211,209,661,233,632,189,148,
358,352,555,094,903,516,258,478,944,782,602,431,834,228,422,662,269,163,758,
437,658,975,071,991,332,553,908,846,040,031,588,085,757,969,695,874,842,158,
671,545,250,865,664,400,063,795,065,849,647,684,920,515,298,985,807,716,575,
313,591,287,599,230,957,284,238,104,225,967,576,303,844,278,067,742,111,575,
580,517,387,572,781,507,873,545,108,898,890,596,242,813,987,107,065,377,734,
053,118,619,940,431,713,131,345,348,976,677,171,272,576,224,899,803,669,349,
660,258,309,203,885,184,598,006,180,165,256,408,553,999,365,598,734,355,021,
438,836,161,011,549,464,005,185,379,659,815,530,588,959,941,905,341,063,786,
111,315,285,426,586,722,598,942,755,489,118,891,832,185,056,035,107,333,556,
844,016,960,270,477,309,542,908,187,878,112,601,902,908,324,673,810,643,414,
888,917,215,767,459,589,067,320,943,769,226,248,881,772,328,235,340,529,529,
695,349,259,664,646,387,481,200,336,539,582,629,267,713,911,964,934,216,309,
604,406,602,649,996,936,886,526,903,443,320,201,587,104,510,807,524,993,769,
813,238,706,299,465,591,879,386,138,535,401,503,455,379,505,144,010,230,953,
356,336,929,821,378,496,990,001,296,443,492,045,620,352,489,080,135,821,609,
730,901,309,166,305,043,962,305,040,102,664,579,104,151,229,676,875,789,671,
245,307,999,114,559,533,811,471,521,465,010,963,519,954,311,542,735,653,282,
302,177,664,032,211,731,150,259,723,253,734,131,227,748,890,927,552,020,814,
939,772,899,310,971,992,372,398,827,592,998,965,493,445,256,703,015,974,823,
078,760,233,369,955,818,652,838,448,487,422,521,610,254,675,452,555,630,082,
627,267,604,284,909,825,963,214,722,245,156,410,928,143,567,741,550,196,810,
179,294,302,258,014,151,403,297,425,088,534,199,435,367,224,916,632,404,041,
209,715,563,983,399,505,041,544,561,273,320,848,248,075,781,407,361,731,701,
811,537,065,992,335,165,418,985,938,398,343,996,079,010,779,701,408,880,050,
441,195,365,130,539,260,084,310,222,088,641,776,387,689,751,280,878,242,055,
174,538,894,017,532,208,112,583,663,202,283,820,783,689,434,586,172,814,466,
493,533,413,559,481,548,338,420,169,001,828,734,750,509,915,936,110,171,111,
249,484,159,246,227,552,799,869,577,383,182,044,704,946,668,750,818,263,719,
984,304,380,781,985,560,134,748,663,333,730,842,589,248,241,106,280,299,392,
483,259,423,094,128,660,007,308,187,341,577,971,213,930,400,713,151,021,082,
643,728,498,378,569,329,869,432,163,378,808,174,621,835,872,207,919,531,211,
141,960,269,569,718,699,046,826,072,319,282,354,061,298,894,123,205,337,299,
803,515,822,522,956,218,307,627,419,138,481,070,182,875,118,809,886,680,875,
815,981,819,159,455,446,055,798,919,366,159,211,638,377,641,747,424,373,243,
716,813,039,673,320,404,626,818,260,508,745,798,491,047,870,840,955,937,573,
686,626,032,933,292,940,921,417,981,003,283,580,861,425,109,318,004,174,542,
568,786,121,030,351,451,664,529,834,262,478,215,458,227,338,272,661,487,186,
883,751,075,144,282,727,820,519,955,094,348,616,437,967,084,060,071,323,311,
310,525,353,562,155,484,871,238,264,871,533,429,849,013,151,258,609,555,590,
570,474,916,373,883,233,136,544,838,709,037,944,081,534,830,020,834,135,427,
921,405,832,168,563,643,260,081,465,253,992,196,054,988,988,378,311,455,293,
884,777,658,117,446,745,151,085,496,902,094,543,547,149,667,171,498,425,042,
098,587,847,080,660,601,118,993,007,496,511,312,069,206,958,771,694,600,601,
125,257,200,046,226,749,897,292,414,309,756,512,866,832,268,458,557,423,627,
021,901,114,347,449,089,528,927,560,538,985,468,563,798,523,419,511,766,282,
049,725,483,092,230,350,438,145,398,901,401,281,795,484,085,242,444,921,130,
406,940,052,295,813,654,832,104,636,782,652,183,558,922,570,202,707,183,776,
889,472,746,672,038,838,806,437,641,244,720,695,960,138,468,320,795,017,570,
210,603,371,139,003,447,665,808,190,316,757,592,036,505,495,568,037,940,994,
280,289,197,162,533,241,306,688,379,413,348,675,707,985,543,308,260,759,172,
459,950,222,329,784,222,094,869,735,100,586,551,971,636,675,928,554,488,720,
393,631,301,547,468,377,375,343,170,021,621,023,959,262,726,920,594,590,742,
659,115,861,138,712,924,313,637,246,290,605,592,889,936,164,372,573,984,338,
730,789,585,902,103,618,707,356,613,554,498,370,439,076,964,275,248,083,923,
473,469,220,178,888,939,637,598,588,644,344,978,035,478,877,280,246,756,308,
420,505,963,318,684,016,149,059,348,955,930,197,758,761,137,532,599,069,370,
964,148,140,553,031,302,717,458,774,821,743,856,610,868,647,132,677,134,353,
137,626,203,148,564,983,652,683,975,083,188,165,081,177,733,867,459,177,746,
657,846,371,713,373,701,851,053,333,744,765,880,334,682,020,432,483,056,373,
377,545,799,770,997,367,720,880,907,167,119,774,598,324,194,472,114,017,342,
371,454,829,452,491,134,469,042,676,634,985,230,498,337,131,611,760,705,777,
834,048,137,685,453,128,618,331,690,353,122,019,064,556,097,749,618,365,636,
693,958,954,850,561,116,228,013,228,014,881,206,069,711,241,858,240,257,367,
683,976,097,673,695,780,476,834,071,637,051,259,308,882,030,298,712,826,466,
174,570,870,176,548,049,030,242,878,206,149,764,876,004,849,578,131,200,640,
405,489,537,979,779,730,214,329,718,081,545,325,592,472,236,050,893,691,025,
171,199,289,236,047,514,403,296,797,910,972,772,436,151,716,110,518,620,157,
535,062,249,612,814,175,042,425,699,054,333,240,840,915,746,206,466,418,441,
297,867,925,727,346,192,887,561,913,465,733,687,394,998,634,595,425,026,088,
853,602,786,831,031,204,195,589,019,310,961,217,801,675,801,199,577,999,348,
587,485,009,167,089,437,913,416,176,034,548,316,269,623,375,057,734,385,247,
726,089,847,654,535,659,512,172,339,592,470,693,910,687,953,541,340,862,690,
023,360,936,481,268,054,315,675,336,120,390,749,636,468,744,431,936,734,937,
273,651,174,967,980,519,815,103,614,644,909,099,098,699,441,997,421,661,331,
772,362,187,917,078,700,602,271,541,088,020,974,240,081,961,173,155,351,510,
208,009,179,365,196,493,658,445,847,942,811,294,582,956,554,641,643,048,709,
183,510,160,611,127,056,309,132,556,682,589,651,323,594,326,708,874,598,309,
824,010,918,325,750,410,431,447,800,127,832,365,588,725,988,528,419,881,017,
234,938,466,787,912,922,566,966,367,998,312,677,862,839,673,024,116,905,261,
440,947,116,402,737,847,582,637,985,563,514,299,770,061,963,866,473,840,502,
641,474,275,524,725,618,937,217,975,635,099,132,159,485,389,446,433,253,697,
904,110,549,013,281,958,813,450,963,996,657,740,302,785,269,911,090,755,780,
426,753,012,551,553,537,584,758,013,165,532,948,321,594,680,934,246,033,660,
825,315,973,349,750,800,802,826,353,559,077,926,864,853,113,514,463,506,414,
553,677,135,422,508,448,229,939,706,093,854,190,060,013,314,941,291,265,912,
391,104,240,217,115,278,961,846,946,268,950,745,304,054,580,808,465,225,818,
716,561,162,761,132,491,595,092,377,702,209,543,983,648,127,029,833,691,754,
801,507,372,148,826,253,883,437,128,641,590,129,414,401,512,464,379,691,325,
964,042,785,021,132,176,936,644,227,266,533,474,590,853,347,449,653,144,038,
597,636,089,132,434,041,122,588,913,761,773,644,349,376,653,719,299,492,878,
598,497,270,549,499,747,855,888,723,963,812,424,542,411,220,485,917,898,715,
426,633,752,957,643,465,137,639,487,092,514,766,721,367,580,381,012,390,069,
247,570,308,710,655,767,212,196,119,641,621,913,242,973,469,033,601,389,087,
630,790,159,004,077,535,962,341,937,651,148,905,198,277,634,860,503,321,233,
219,697,152,770,139,968,866,690,156,949,766,457,028,070,613,481,613,231,553,
588,663,878,332,450,125,357,459,640,820,312,093,861,953,469,039,021,309,343,
772,376,052,358,943,257,571,881,022,100,934,193,418,596,543,553,869,727,505,
228,650,626,850,404,627,217,689,682,324,236,404,333,621,013,759,585,062,060,
286,385,380,217,281,173,513,808,785,703,315,781,566,211,532,062,107,474,739,
322,243,593,058,048,952,206,635,967,583,504,247,266,995,352,690,396,782,929,
241,571,442,614,610,284,293,409,996,193,006,838,302,867,797,162,673,769,579,
736,184,236,974,347,604,869,239,530,607,895,381,950,452,287,352,782,156,337,
064,099,134,016,115,958,346,070,751,806,732,988,056,686,657,267,534,935,231,
671,852,707,351,508,443,598,460,072,834,208,022,926,782,804,493,068,740,659,
340,178,883,511,621,429,306,073,077,515,521,641,026,560,280,189,040,773,896,
366,625,115,938,170,398,272,392,189,916,572,222,958,464,659,184,558,077,101,
477,738,888,338,597,712,504,862,954,792,207,828,722,827,172,472,210,318,282,
268,614,085,613,649,282,350,064,116,973,053,061,039,593,454,933,916,399,086,
513,078,133,947,281,783,682,093,740,854,943,319,807,191,898,526,768,433,713,
092,806,805,098,132,145,143,126,043,075,416,951,185,351,015,501,333,971,764,
103,576,762,746,433,752,619,476,789,259,314,947,270,864,558,755,574,387,148,
004,950,360,543,565,459,549,007,489,481,199,885,632,171,566,044,062,798,911,
170,538,787,782,574,262,704,829,915,721,632,569,183,266,333,184,704,699,272,
176,289,341,962,144,981,828,366,080,861,064,225,707,457,673,215,981,063,669,
054,310,849,039,155,333,588,715,062,623,403,065,542,421,426,166,579,351,023,
159,231,987,106,258,282,059,970,718,965,902,287,123,076,910,451,234,872,533,
282,117,877,188,138,866,892,995,300,539,614,162,017,376,718,652,910,920,760,
490,543,040,408,879,318,769,218,827,422,183,128,963,371,516,494,653,881,236,
550,701,107,855,658,425,305,051,991,645,832,728,628,188,122,941,531,245,637,
357,671,332,514,204,498,578,496,363,941,063,235,998,001,527,250,674,405,917,
896,990,638,643,278,326,372,452,443,046,144,923,879,522,933,788,549,527,418,
417,995,123,685,180,804,603,905,656,035,756,563,141,300,891,886,716,958,957,
993,898,923,083,680,695,852,184,646,837,702,328,969,789,238,086,094,094,484,
052,576,371,303,754,054,418,605,304,573,567,671,432,371,866,207,672,959,351,
773,475,122,106,451,104,436,429,366,749,332,070,014,708,314,902,626,866,469,
615,914,993,753,470,992,164,978,494,973,524,753,059,496,704,877,619,875,074,
818,302,608,969,123,923,761,735,182,341,461,222,736,577,834,797,674,009,620,
440,806,821,645,133,478,464,413,968,127,529,430,821,639,174,795,632,104,327,
187,277,691,230,465,927,124,725,901,448,188,955,922,631,628,969,746,267,130,
380,202,197,044,664,976,692,242,330,622,266,759,036,696,119,507,930,611,935,
194,301,081,150,643,579,587,780,122,524,919,331,704,839,187,393,853,705,100,
632,650,110,003,562,847,388,952,362,605,099,990,001,035,202,484,615,821,419,
325,677,548,598,067,116,686,622,652,459,698,039,801,845,377,333,891,319,620,
646,311,489,186,121,783,511,266,759,354,390,922,445,726,175,408,625,775,258,
636,232,668,062,589,478,753,179,464,423,389,508,620,020,808,330,070,849,662,
362,810,604,233,876,921,198,805,437,460,194,733,943,476,016,975,351,990,424,
031,887,882,064,500,809,728,902,009,756,229,516,042,065,919,138,439,590,364,
994,357,354,193,101,986,508,090,361,796,862,032,860,875,291,380,447,874,659,
046,336,401,930,655,866,044,165,987,493,437,853,188,016,541,691,013,513,775,
365,893,576,151,746,554,206,060,766,743,106,031,675,689,225,791,064,963,374,
315,161,454,059,373,675,726,359,400,737,852,364,025,123,940,543,880,280,691,
487,905,414,935,498,506,175,511,232,382,125,077,293,532,918,588,096,967,690,
006,860,985,530,663,305,351,871,883,018,725,514,758,887,791,043,192,327,970,
941,143,517,955,334,451,654,126,315,967,597,029,767,349,672,853,563,795,627,
333,278,864,106,274,801,041,160,431,514,619,460,621,399,446,273,815,717,223,
255,025,360,299,813,744,050,511,328,359,540,932,003,032,701,829,559,260,590,
903,274,467,177,233,747,646,196,587,010,681,825,148,672,814,998,841,442,617,
148,863,368,805,856,474,555,918,686,779,743,544,297,030,175,706,573,100,346,
972,878,464,102,339,175,128,722,151,389,509,184,510,996,107,041,184,666,146,
555,825,192,270,962,890,521,868,686,527,837,536,683,935,716,858,442,801,794,
958,791,560,163,241,495,065,538,237,933,908,653,199,097,731,271,494,030,742,
559,739,182,591,618,108,640,562,308,266,607,984,019,336,798,044,120,274,940,
924,078,263,481,752,726,688,473,613,001,755,531,716,014,476,611,406,698,774,
724,290,687,935,041,371,028,606,508,283,010,346,993,925,606,760,681,068,963,
350,834,047,543,760,003,413,716,877,673,008,092,189,166,845,792,752,633,507,
771,143,952,605,136,768,302,025,198,021,567,451,525,719,170,343,745,054,956,
779,823,593,435,756,523,780,999,691,113,564,638,125,864,780,757,612,244,918,
428,410,031,234,593,663,158,399,994,425,253,853,416,830,383,861,494,270,567,
718,098,857,191,577,745,908,037,939,751,675,467,334,852,996,955,058,270,689,
771,512,671,321,565,645,260,400,364,648,387,337,050,338,431,371,947,593,218,
191,966,003,642,279,929,664,135,581,477,593,364,648,760,555,428,390,295,059,
813,291,852,537,917,781,163,411,772,605,268,572,261,492,336,648,301,728,266,
016,918,272,693,647,122,168,013,472,911,503,751,538,510,691,854,409,920,022,
802,020,554,317,828,799,735,570,265,935,044,770,134,416,442,408,434,021,091,
688,271,130,424,955,666,138,949,485,931,969,246,336,426,998,121,230,082,666,
370,407,938,686,360,151,238,128,698,617,274,123,884,361,818,624,041,367,008,
975,670,571,504,598,596,617,025,811,387,505,390,376,577,818,251,437,988,376,
574,139,283,185,107,748,449,903,626,927,940,149,911,636,790,322,112,019,912,
144,645,326,255,417,272,998,583,289,381,562,795,432,870,721,920,583,471,122,
141,302,810,577,959,716,335,279,637,967,347,489,451,225,728,502,606,830,351,
007,530,406,884,631,583,396,053,418,733,309,010,818,518,797,007,911,962,363,
877,476,507,601,861,639,307,370,159,150,086,972,962,783,433,159,636,700,408,
417,373,828,573,627,445,563,031,134,036,515,889,396,425,459,435,212,917,673,
123,682,990,457,282,260,076,660,030,004,017,903,374,366,494,031,877,178,312,
109,128,820,818,804,276,755,255,244,924,558,284,698,649,301,428,202,595,658,
203,236,203,911,557,255,939,051,931,262,354,193,502,093,259,674,351,448,059,
618,082,115,452,646,210,682,534,622,078,885,013,693,625,502,288,246,998,627,
982,193,247,372,749,226,767,490,904,686,885,148,853,147,619,145,423,643,855,
758,624,809,661,888,902,175,051,451,228,062,948,159,379,706,637,741,015,166,
151,510,672,260,128,058,703,405,409,689,795,645,174,812,902,784,580,606,313,
812,386,190,014,068,804,192,288,732,380,155,295,285,959,238,385,427,584,295,
762,141,253,932,617,974,107,067,507,004,953,827,529,548,220,150,715,732,073,
862,555,821,152,194,329,705,791,312,192,307,705,689,831,335,555,114,803,559,
339,414,717,709,390,256,213,632,947,008,108,752,284,936,610,778,207,887,095,
664,221,863,402,999,713,704,364,041,989,850,523,537,151,110,187,812,255,018,
961,844,247,467,492,208,343,706,689,013,866,713,476,712,370,390,947,462,582,
875,070,980,166,648,366,264,153,576,158,072,704,951,640,472,755,099,525,966,
661,116,671,316,516,478,204,838,813,554,106,891,093,787,504,772,248,061,637,
236,705,267,139,970,549,682,906,564,111,483,253,926,529,549,430,261,303,419,
203,215,150,895,220,642,478,319,561,425,861,110,226,800,133,932,268,854,027,
873,033,536,051,990,486,676,361,039,686,724,688,532,014,854,149,528,901,411,
409,896,630,762,686,652,136,749,529,392,291,684,194,399,815,908,827,481,689,
909,503,731,696,317,233,261,096,139,577,298,816,742,742,467,498,389,940,365,
064,604,838,569,482,785,141,634,472,113,076,656,159,252,366,152,385,863,313,
110,732,173,937,967,180,139,161,856,487,443,651,142,713,726,612,310,415,871,
500,382,140,641,600,141,816,775,256,992,564,279,050,571,768,204,218,227,586,
859,157,100,255,813,508,986,097,247,169,767,447,085,891,798,122,092,156,557,
641,644,224,144,781,374,036,742,503,874,210,003,835,407,167,247,783,630,711,
886,570,220,179,480,028,200,953,050,514,479,625,926,395,829,623,967,974,984,
511,907,900,326,783,381,391,202,238,190,254,862,518,368,617,281,210,154,957,
620,922,205,066,215,045,759,285,431,079,370,748,668,156,479,402,893,941,683,
816,846,409,242,053,996,122,216,972,009,973,233,465,667,865,617,062,555,292,
802,205,353,233,429,209,543,509,289,148,641,056,573,554,863,535,276,502,293,
449,852,546,113,217,454,461,748,615,111,507,581,966,856,296,294,986,679,386,
954,330,370,198,903,463,812,227,007,191,137,683,431,724,405,696,278,554,399,
447,746,340,638,065,005,621,561,744,412,656,516,494,762,965,230,173,590,373,
470,622,280,304,347,188,121,967,516,074,276,226,783,074,638,612,563,978,144,
609,675,985,696,398,287,201,362,257,452,599,768,327,515,896,661,242,165,069,
166,208,998,173,418,195,262,464,764,221,598,011,291,837,255,163,649,135,736,
707,308,018,470,554,782,718,879,531,644,554,457,936,194,633,078,986,546,862,
176,029,226,027,196,032,821,832,693,187,778,979,763,913,363,182,161,401,702,
819,709,409,382,938,867,076,791,886,397,375,495,278,931,467,329,071,040,345,
533,035,959,647,079,135,667,074,670,151,102,919,993,049,025,523,575,003,204,
980,456,887,421,148,663,752,173,578,183,459,722,444,238,630,851,222,452,769,
611,433,160,921,014,545,873,569,723,155,388,198,635,773,976,784,695,706,291,
994,793,647,261,985,451,405,021,931,122,255,753,558,754,782,519,362,824,788,
906,971,325,919,666,686,147,811,844,332,285,411,442,988,445,949,365,411,546,
337,547,747,132,650,714,534,701,296,194,173,178,426,377,988,312,051,972,304,
170,565,115,578,352,431,355,367,350,781,861,251,658,071,152,431,072,374,025,
608,497,443,404,622,905,563,389,174,791,116,656,401,357,725,811,676,285,962,
821,439,650,387,615,242,650,152,583,726,637,143,976,130,316,616,444,465,978,
267,266,732,996,101,903,344,151,049,698,514,613,806,158,251,725,019,834,838,
224,295,628,508,197,392,349,839,815,513,900,357,015,637,016,026,054,484,195,
968,690,024,491,278,482,456,396,226,734,883,927,751,875,407,231,383,262,083,
926,574,754,823,935,654,755,271,587,952,327,108,257,387,198,736,971,094,877,
169,405,458,368,710,945,048,715,371,525,872,618,192,751,608,395,748,379,544,
726,250,353,788,967,475,481,354,535,961,111,681,564,079,254,861,344,274,512,
874,120,876,689,670,607,588,574,973,418,442,760,987,293,636,001,480,981,863,
731,697,690,895,415,524,286,305,555,356,499,826,448,975,603,241,594,785,381,
981,394,948,822,389,440,032,585,873,480,565,540,719,414,481,842,543,360,852,
693,156,708,172,889,355,610,565,574,198,088,329,735,458,348,608,141,294,788,
411,475,357,772,928,376,773,931,520,546,270,658,323,018,359,308,905,157,550,
258,606,342,515,471,805,124,470,417,325,617,921,637,840,308,173,922,923,523,
011,061,718,385,636,305,997,787,718,604,656,931,112,851,869,328,725,082,042,
406,962,610,481,693,099,813,578,865,081,426,267,968,195,018,495,706,303,410,
120,390,813,081,176,712,525,663,506,472,282,178,802,699,195,422,240,491,106,
051,387,177,780,969,278,785,941,071,241,999,467,405,005,524,827,295,028,856,
825,264,366,949,670,003,970,195,460,268,244,879,003,614,709,649,133,982,368,
164,637,917,578,895,469,119,409,167,697,709,608,978,296,066,405,135,517,454,
922,947,852,740,117,259,436,336,330,875,537,316,284,779,741,828,981,825,355,
778,548,303,199,038,566,919,396,665,206,982,722,215,401,337,244,103,397,433,
071,119,101,475,082,321,873,689,616,442,787,635,307,431,157,696,736,086,640,
368,317,128,893,927,647,390,299,039,141,892,140,794,233,524,858,062,426,752,
844,261,632,064,771,089,134,486,379,022,904,831,832,069,352,199,560,724,041,
051,682,282,566,033,006,257,267,047,648,694,516,478,774,170,661,801,538,726,
909,815,609,995,645,306,570,407,111,665,257,233,783,985,019,321,918,146,661,
558,154,344,461,140,728,255,466,677,821,658,490,087,772,096,056,972,990,901,
737,557,510,897,955,658,773,718,312,949,226,935,590,614,599,442,483,926,140,
222,877,763,364,031,252,653,672,876,486,999,746,526,162,303,231,791,097,996,
534,087,630,575,096,919,610,616,386,377,698,424,400,448,405,601,430,029,597,
483,281,238,725,213,192,947,116,729,041,395,618,708,718,453,855,802,165,993,
803,861,825,413,380,490,865,730,170,414,476,453,492,192,334,182,968,305,576,
574,155,226,924,758,336,494,933,017,631,033,001,100,728,982,316,305,296,989,
272,819,062,428,485,663,939,269,705,037,909,273,052,916,216,195,449,250,886,
074,245,199,782,186,701,404,633,421,539,369,903,729,507,809,206,486,432,612,
502,426,231,341,623,946,287,103,014,445,368,507,031,879,477,630,662,166,819,
298,219,614,369,395,147,403,222,998,294,656,730,691,725,871,684,566,018,680,
818,182,327,950,015,992,267,994,208,437,242,718,708,635,184,850,872,720,428,
236,686,314,142,861,404,985,034,808,453,699,923,759,782,180,670,240,761,594,
808,459,295,114,468,764,139,793,051,179,349,552,494,978,380,047,530,051,327,
344,011,396,245,566,834,614,584,784,126,475,393,774,975,700,418,968,256,425,
057,144,074,488,257,558,407,254,154,819,790,142,402,958,405,564,895,552,371,
340,196,188,382,688,268,419,097,325,697,365,570,310,582,325,656,415,284,740,
588,797,467,925,854,940,465,189,835,738,774,754,074,297,046,739,302,095,613,
982,851,854,748,200,160,814,118,588,864,392,641,263,566,042,377,574,503,509,
943,353,304,862,628,017,432,064,843,621,670,534,170,787,722,641,886,690,098,
422,567,880,845,861,293,296,949,498,617,598,686,518,303,635,962,436,375,930,
018,373,215,706,761,324,644,636,364,121,045,191,234,755,917,221,497,734,772,
965,350,440,274,915,033,078,967,253,740,926,432,485,486,326,917,014,817,887,
002,895,114,266,095,104,408,696,580,415,678,462,381,860,243,938,882,297,575,
206,175,404,686,609,138,280,624,991,973,807,412,157,102,810,881,874,108,011,
688,593,700,911,611,926,429,453,532,967,000,585,495,346,321,829,768,393,241,
013,433,293,681,401,232,072,827,034,355,943,412,022,994,378,456,155,535,112,
860,861,921,519,228,462,507,739,109,492,561,820,042,187,212,331,236,857,081,
229,305,534,265,488,383,309,129,566,138,697,149,407,822,245,605,390,271,869,
746,852,901,164,896,645,541,904,709,372,654,670,185,441,739,186,725,425,903,
382,047,419,091,853,916,430,159,668,960,614,953,467,584,587,038,956,685,339,
702,106,885,100,232,615,530,456,872,314,728,670,078,723,220,117,591,119,785,
348,719,192,937,308,944,684,702,731,168,064,211,537,991,926,083,863,175,640,
511,235,713,918,413,261,656,227,956,231,069,710,515,189,623,413,839,404,326,
998,094,533,188,803,693,420,483,149,073,126,735,040,299,696,228,613,103,871,
298,472,081,643,479,755,642,728,424,711,284,537,228,272,063,624,844,789,709,
150,407,853,247,799,693,147,847,054,368,673,610,288,062,078,094,350,877,151,
957,938,955,945,040,799,187,991,043,909,167,837,925,236,928,290,318,103,283,
550,263,426,918,195,923,916,676,210,932,654,072,472,241,350,651,653,472,431,
928,184,394,184,976,328,849,544,382,625,570,045,798,436,741,158,884,826,184,
436,727,075,817,107,332,491,773,417,735,120,339,749,581,112,234,367,965,623,
457,010,839,394,071,977,516,994,265,653,484,649,588,985,762,497,102,212,777,
998,430,493,000,258,957,595,216,009,203,808,363,720,874,711,883,708,821,205,
405,027,324,748,396,902,260,417,488,964,027,624,157,359,145,246,090,621,191,
455,460,237,143,482,452,776,829,316,933,799,844,317,664,109,675,721,375,775,
730,943,646,168,708,213,117,650,571,445,422,244,086,039,440,786,458,685,209,
720,739,698,422,545,821,488,634,671,490,596,013,233,063,351,876,347,086,904,
016,593,947,043,722,419,089,270,053,095,256,252,096,157,313,158,757,009,364,
063,366,376,233,178,145,539,559,883,973,021,150,373,594,839,675,777,784,623,
540,254,139,553,768,161,909,896,196,178,851,824,628,113,029,698,448,507,745,
752,517,688,631,066,654,318,760,157,342,849,202,758,215,250,026,364,150,255,
584,560,028,450,156,554,521,425,699,596,386,237,086,529,397,673,196,570,222,
566,588,765,694,458,257,188,248,693,114,517,941,105,617,800,212,082,695,316,
150,855,941,818,262,696,611,665,361,916,561,339,090,436,424,461,984,544,635,
285,741,931,389,337,990,548,134,586,675,786,776,498,207,500,182,189,714,126,
815,988,731,382,380,306,849,220,928,860,482,088,726,794,711,293,975,725,313,
921,817,815,800,513,034,486,154,793,073,565,474,986,096,899,850,786,319,105,
904,387,168,111,827,638,111,797,338,340,428,231,492,078,887,051,761,221,655,
563,180,144,244,816,911,730,921,253,424,602,973,962,780,070,029,589,361,229,
992,361,246,750,163,154,729,662,337,336,220,417,082,452,410,994,016,359,782,
261,648,856,125,574,163,870,812,670,673,595,022,229,409,380,814,045,247,413,
371,963,464,290,506,652,849,007,922,280,744,509,646,341,454,720,347,765,357,
747,527,488,901,013,414,530,665,186,013,518,230,864,271,777,952,405,227,100,
514,955,577,497,710,144,010,686,306,097,234,002,001,273,752,607,269,127,314,
182,233,256,529,888,127,945,671,555,364,315,112,000,516,928,911,696,541,318,
509,574,148,331,000,049,982,709,662,498,954,758,173,028,649,860,543,133,943,
623,905,404,615,937,541,829,845,041,631,439,450,172,189,081,888,307,210,963,
321,171,320,954,690,060,244,583,954,874,145,958,749,623,892,161,263,601,031,
366,661,239,782,601,482,875,784,492,177,322,072,323,228,687,969,865,221,257,
766,279,981,243,332,508,244,724,941,393,016,548,446,124,656,682,663,230,586,
911,000,756,269,479,467,402,770,823,884,678,947,304,736,590,371,048,168,991,
344,444,264,950,285,887,513,394,435,827,508,172,947,287,880,359,289,733,821,
625,356,674,339,400,048,193,689,801,971,214,460,567,326,984,536,349,169,421,
904,543,079,701,577,282,947,890,575,474,823,851,051,170,528,256,968,399,687,
647,198,969,843,368,621,135,158,970,916,191,445,961,764,921,751,522,705,354,
753,148,928,098,645,619,813,360,465,168,733,429,141,146,820,104,027,839,964,
114,279,031,853,674,676,836,040,269,703,273,067,213,393,275,310,635,692,229,
550,116,793,764,872,698,218,249,683,850,735,866,994,042,179,896,418,653,137,
969,588,083,103,692,672,647,958,358,534,707,671,022,677,678,186,218,396,492,
197,846,285,084,051,401,163,528,996,372,548,505,172,010,463,236,658,253,216,
517,243,052,709,614,605,614,139,976,901,027,080,452,010,862,755,353,879,956,
149,048,233,114,212,465,495,712,455,474,383,953,673,040,338,345,319,748,155,
620,894,667,721,106,554,166,860,341,872,239,778,826,112,522,416,806,757,832,
998,692,351,939,419,762,065,997,527,846,422,395,274,859,854,267,740,100,780,
490,878,641,928,360,240,819,523,558,804,200,869,464,951,029,188,614,932,826,
633,543,331,973,908,973,690,746,349,755,641,914,299,714,956,666,779,871,241,
542,749,867,694,961,468,570,853,818,721,344,612,553,799,427,299,932,568,701,
904,236,013,102,081,800,911,256,776,227,931,996,028,582,241,470,689,295,438,
662,409,670,735,723,689,513,430,030,075,708,702,654,107,031,344,053,403,688,
012,077,478,657,532,251,400,167,043,796,433,932,042,049,649,682,320,137,521,
403,770,079,761,891,484,807,132,152,508,215,811,334,834,849,549,648,591,959,
032,109,269,515,968,909,375,745,266,437,964,847,202,083,981,507,195,477,063,
564,220,026,965,127,174,182,256,107,207,008,990,416,899,011,227,972,735,559,
883,727,892,356,763,046,387,910,664,854,141,682,870,348,244,261,926,583,965,
734,043,828,665,623,887,013,771,079,139,766,698,008,396,496,987,540,207,961,
726,555,108,726,549,548,037,912,359,819,627,980,850,388,847,315,015,641,798,
706,040,316,794,416,447,713,261,199,378,720,833,469,119,060,821,086,188,119,
168,352,744,119,398,910,409,686,167,691,980,258,706,168,157,166,926,353,576,
204,961,103,165,139,027,373,398,508,573,670,174,882,239,883,263,183,369,862,
091,527,618,027,249,890,809,409,721,015,693,200,761,008,623,532,017,049,922,
716,742,864,762,261,067,694,607,443,532,879,620,708,372,509,893,466,101,481,
903,716,807,374,990,834,429,372,680,912,632,680,510,238,397,575,365,603,977,
966,752,367,214,011,038,832,739,281,288,095,246,763,174,904,862,533,238,940,
730,674,264,333,499,953,165,839,169,896,117,489,824,162,658,720,525,674,501,
056,666,221,880,810,761,917,636,809,840,108,646,726,316,070,634,439,961,000,
458,939,537,861,462,629,845,038,240,606,812,736,675,869,877,584,187,837,418,
312,285,495,099,651,924,995,514,241,651,685,932,332,035,503,813,685,981,964,
463,425,971,027,436,467,705,652,411,333,659,076,045,974,176,903,634,333,351,
761,335,451,265,294,537,347,034,000,546,442,099,838,091,123,758,249,987,061,
232,053,616,128,886,507,345,402,942,371,015,724,181,733,754,219,575,446,662,
444,953,517,875,594,918,942,790,110,147,962,263,792,221,530,275,292,360,459,
500,277,670,786,410,728,887,571,164,390,462,156,994,735,684,076,558,219,969,
415,849,202,229,492,995,485,406,125,592,947,616,261,472,579,808,544,937,101,
107,255,759,082,146,802,014,680,802,599,291,495,784,652,828,402,398,316,980,
952,215,469,103,105,496,417,465,309,780,894,506,815,860,378,323,244,614,979,
206,980,697,284,897,494,685,546,869,885,831,238,943,941,419,591,095,894,525,
895,023,603,713,431,461,771,441,953,954,197,543,371,460,467,048,282,893,180,
136,903,263,282,763,516,952,394,371,691,046,999,009,075,758,756,922,614,042,
562,261,532,921,749,720,069,621,707,890,931,449,365,050,440,741,084,214,996,
506,646,585,401,365,050,462,061,257,118,413,214,484,784,823,971,407,594,732,
885,737,393,652,933,186,943,432,232,215,868,629,702,280,010,027,418,061,119,
064,786,754,194,055,207,092,926,988,114,385,049,487,112,170,663,928,503,283,
143,996,207,618,591,093,887,520,261,958,941,776,415,062,859,164,580,847,978,
533,568,624,538,003,273,699,497,404,820,030,103,644,629,922,338,542,484,848,
972,614,642,065,154,977,897,576,908,878,576,574,350,176,846,849,368,358,635,
627,240,447,797,650,969,468,799,059,637,595,451,487,523,073,732,750,491,354,
139,751,523,997,564,382,653,182,513,120,844,811,608,385,826,232,042,951,076,
236,111,596,019,150,226,832,553,465,937,547,548,847,877,099,027,908,413,358,
174,404,490,394,329,983,922,938,990,744,472,460,157,673,228,076,692,228,107,
268,942,278,157,109,838,970,688,833,790,330,963,881,268,203,195,420,886,617,
276,566,677,331,893,438,961,985,038,870,024,289,350,192,605,463,578,370,148,
233,574,464,185,675,072,875,269,166,510,230,855,783,421,338,644,986,520,660,
668,750,651,355,666,069,929,872,659,385,606,726,565,378,887,475,606,537,887,
179,013,924,584,948,893,544,954,560,096,085,529,525,563,773,176,727,432,247,
056,505,489,838,787,898,005,067,760,470,276,141,349,321,084,727,231,343,606,
759,085,994,923,730,653,286,018,898,479,268,750,092,067,526,088,626,374,280,
715,813,619,326,265,787,707,217,394,151,911,892,681,947,191,415,002,996,309,
853,198,613,377,917,409,964,771,015,297,699,338,393,815,755,152,446,329,724,
996,098,807,883,801,487,664,259,503,128,762,363,228,413,726,839,016,368,225,
103,025,939,538,193,676,503,582,522,076,838,485,791,179,387,285,643,281,355,
318,785,899,515,595,775,555,501,030,616,245,785,866,581,832,855,049,429,588,
098,272,490,387,613,348,641,661,087,245,531,100,195,086,054,671,092,578,601,
881,440,847,020,062,700,336,419,151,748,732,979,296,524,212,484,530,855,922,
362,319,571,583,253,051,849,179,876,585,433,904,178,292,383,065,967,607,293,
680,339,687,965,773,367,699,371,293,483,710,907,699,009,266,008,918,993,764,
174,014,263,289,875,161,023,830,491,366,087,765,446,236,086,725,500,792,143,
686,482,921,855,118,395,803,039,431,218,698,357,993,790,927,510,480,752,645,
385,502,631,065,141,408,053,236,855,886,719,998,421,307,540,848,603,968,199,
368,941,907,347,238,373,927,553,131,220,531,349,400,385,520,890,654,730,932,
250,940,157,190,317,245,818,838,562,972,824,316,970,597,704,342,870,541,171,
494,618,556,312,889,326,920,672,921,662,824,861,629,620,898,352,662,215,806,
118,133,447,324,955,635,571,925,907,807,412,433,808,922,048,241,413,866,058,
109,666,599,263,996,565,348,454,515,772,397,112,316,110,594,961,370,650,763,
432,342,892,613,597,797,807,275,810,662,501,305,261,821,340,027,076,831,295,
118,909,805,849,440,678,868,339,777,138,288,617,961,206,317,740,369,416,522,
114,069,089,994,791,552,019,651,877,995,195,196,578,385,063,750,780,829,725,
439,032,802,187,296,563,286,762,823,839,320,045,142,459,454,818,617,681,348,
093,785,645,937,731,958,017,425,599,657,912,650,807,813,116,843,157,556,645,
954,582,784,415,499,375,359,314,006,600,991,120,627,868,731,348,947,810,228,
532,386,421,064,938,753,463,471,971,925,823,216,476,273,956,764,674,724,419,
948,198,612,331,687,800,470,491,454,748,875,383,166,407,031,487,701,203,328,
201,555,389,635,098,205,304,826,577,458,700,765,145,360,523,530,402,336,605,
179,877,246,698,897,067,087,713,579,490,907,108,805,913,215,186,093,122,791,
242,135,521,234,730,206,581,774,228,161,415,683,646,482,800,762,379,722,228,
426,957,949,734,758,989,748,203,778,428,677,773,744,621,884,814,733,256,130,
235,623,673,338,132,551,142,601,432,825,012,358,252,369,965,184,312,388,870,
672,469,053,038,007,534,648,663,359,039,553,739,795,625,804,412,479,754,800,
633,951,648,197,717,386,307,609,309,888,187,330,526,097,005,355,139,796,757,
881,514,128,895,505,816,311,292,455,851,259,306,544,212,767,417,791,027,030,
263,015,082,942,243,115,963,800,835,514,737,777,486,573,519,523,876,957,943,
671,496,314,379,835,000,789,454,608,159,035,738,587,978,351,405,208,755,896,
996,207,930,463,809,283,465,413,476,256,830,959,912,639,474,996,410,234,743,
142,563,515,759,049,998,229,799,287,789,019,468,357,683,317,683,585,865,433,
976,170,367,560,675,064,453,937,173,704,392,638,614,557,416,993,641,299,013,
423,024,386,958,986,726,348,072,552,813,210,810,030,631,790,225,485,837,072,
237,483,878,873,208,411,377,422,269,840,234,581,951,429,028,112,426,661,456,
508,768,656,410,712,064,541,800,287,012,198,845,676,977,854,520,884,867,230,
263,255,690,616,256,897,342,709,874,783,446,229,012,771,825,644,416,027,570,
737,739,943,429,945,157,945,701,864,522,852,096,239,291,017,570,696,375,358,
166,268,326,210,327,338,451,418,117,019,491,062,060,995,284,117,607,552,573,
068,329,509,771,848,743,527,023,511,981,262,871,787,862,580,902,095,541,565,
661,601,398,771,465,646,023,805,473,225,801,128,408,707,968,052,232,324,603,
752,943,593,501,650,128,263,377,555,103,406,012,098,405,389,237,410,472,107,
944,240,367,525,287,978,298,752,649,735,834,056,243,741,007,901,649,505,180,
036,147,626,101,915,801,474,538,656,372,423,052,672,073,627,771,577,677,947,
627,561,560,179,361,474,164,859,987,598,649,161,204,415,368,677,503,297,233,
250,299,343,385,234,698,535,844,172,765,448,921,443,944,515,616,331,051,061,
486,998,258,134,849,467,208,206,829,743,440,851,715,623,992,989,321,629,769,
363,056,906,434,704,886,454,435,229,579,629,982,773,313,799,568,595,633,580,
031,247,317,214,569,585,834,853,121,777,336,936,502,612,043,238,505,002,034,
716,991,878,871,510,393,614,856,315,559,115,642,470,102,376,059,554,173,018,
996,316,238,265,678,688,840,031,491,597,930,900,392,151,911,334,558,793,544,
450,892,748,825,810,329,272,728,715,260,682,694,573,296,148,757,221,141,405,
463,580,964,216,416,107,940,241,055,730,217,118,334,025,092,164,023,546,920,
471,984,036,971,152,183,159,124,943,178,894,895,289,875,761,034,902,361,448,
995,498,617,161,815,811,621,486,059,764,133,888,457,811,292,513,803,056,348,
836,678,975,095,163,144,778,796,245,961,378,498,313,633,850,686,420,559,425,
907,197,478,072,114,370,691,480,944,924,783,515,934,103,939,182,547,466,802,
415,370,311,295,981,186,506,616,743,270,422,720,912,277,980,886,109,069,636,
117,339,445,475,138,273,443,328,203,631,658,435,691,604,464,698,829,046,564,
672,672,526,916,353,546,472,692,788,272,448,980,284,436,483,508,740,247,311,
322,610,222,349,294,807,420,305,788,527,254,499,468,776,678,870,891,208,912,
871,364,914,636,777,052,371,666,923,749,367,189,821,373,691,889,087,138,618,
530,281,081,870,025,242,971,995,584,972,478,954,591,177,679,706,354,806,339,
239,227,565,744,559,337,976,652,552,224,941,442,021,683,436,961,012,206,478,
008,410,650,056,185,985,164,581,299,604,651,063,290,127,065,822,710,593,286,
919,847,503,835,373,197,476,805,884,085,886,029,717,786,342,857,890,376,614,
588,312,307,918,470,541,378,835,275,689,038,997,225,344,207,901,593,908,012,
076,241,645,142,464,495,133,162,829,559,569,612,924,629,115,396,899,193,038,
508,610,970,364,251,570,919,221,743,197,144,838,168,335,762,793,411,412,409,
649,359,701,689,737,660,150,543,563,475,607,686,371,918,454,516,916,286,121,
009,449,282,699,202,689,473,053,247,925,589,883,977,102,570,232,561,237,774,
757,443,938,345,542,193,719,846,071,586,228,689,869,413,019,018,568,975,686,
227,511,677,119,109,550,190,726,340,212,991,468,242,078,715,580,671,826,570,
595,691,371,289,049,004,498,674,700,693,567,534,912,368,871,669,130,828,620,
712,629,217,424,759,507,440,524,150,651,889,556,162,720,137,672,329,623,723,
034,082,308,501,786,177,481,477,050,811,539,619,630,102,600,382,101,279,514,
081,388,355,587,333,417,713,786,035,354,792,549,683,367,089,295,579,670,157,
889,512,914,329,781,913,527,228,186,902,455,547,050,492,948,969,274,403,473,
061,736,976,436,360,851,833,410,966,497,598,338,368,799,926,238,053,281,064,
351,418,289,304,807,101,886,503,004,104,438,788,162,717,025,748,778,615,964,
555,796,348,778,956,003,777,988,032,158,682,949,301,839,546,832,951,534,661,
503,773,692,265,339,997,344,181,324,747,558,911,267,055,822,087,040,488,390,
502,476,564,910,175,956,939,956,591,184,917,773,249,685,731,876,576,202,475,
739,175,671,875,682,958,576,260,464,062,128,140,571,173,022,692,699,927,965,
212,437,286,189,863,255,880,736,187,887,385,399,562,361,770,278,953,296,219,
679,678,761,197,211,288,260,097,418,356,703,178,519,989,963,162,087,273,462,
976,738,273,500,507,757,558,840,514,635,921,236,313,965,712,088,297,854,954,
180,706,224,517,063,754,615,652,980,003,571,890,154,562,465,719,608,384,730,
763,583,363,541,160,407,196,485,548,300,001,139,877,439,175,906,004,101,766,
956,002,381,037,711,549,817,864,635,824,688,845,295,767,375,207,607,865,375,
563,559,423,257,707,319,194,827,958,162,214,641,869,441,686,941,919,454,223,
986,197,305,679,751,293,993,535,142,210,345,194,762,080,045,336,668,640,291,
468,065,738,996,986,392,045,999,522,896,074,704,599,056,953,863,316,182,317,
204,380,228,945,028,045,352,514,316,112,112,946,861,574,348,648,940,441,000,
981,219,054,541,121,576,062,413,777,623,048,724,419,287,370,813,814,727,212,
671,832,098,999,465,773,287,129,388,815,243,319,771,549,212,189,847,314,359,
956,013,484,277,361,460,921,477,148,109,234,876,038,489,860,292,649,458,981,
085,707,191,119,693,377,507,863,776,461,677,240,463,204,866,506,598,993,526,
860,435,607,251,735,814,793,211,067,441,106,489,411,987,818,925,688,781,611,
883,797,428,788,218,428,862,019,645,334,393,919,746,541,680,754,576,979,664,
339,773,563,376,068,966,508,910,311,531,102,906,179,035,669,697,245,221,353,
378,703,341,523,237,301,111,040,627,796,694,021,294,911,107,804,561,545,190,
003,056,034,619,866,143,241,936,283,314,662,958,620,373,365,117,228,689,109,
795,827,833,489,705,351,134,978,490,429,945,675,006,320,138,057,446,914,158,
895,986,434,519,773,896,478,165,184,185,304,670,932,861,680,805,859,560,465,
767,129,702,583,091,747,784,151,311,387,271,502,523,771,587,596,621,001,683,
674,473,216,889,655,169,017,902,004,408,698,962,199,206,089,798,525,610,479,
175,745,690,607,503,024,980,407,688,974,094,347,192,742,167,607,656,492,356,
429,103,211,089,982,823,183,104,540,069,684,556,701,341,710,622,596,121,190,
234,611,239,089,698,431,120,148,892,207,904,614,905,177,723,668,252,975,938,
003,394,162,947,753,632,562,924,928,609,980,943,126,080,189,654,125,984,417,
959,894,639,224,177,134,315,707,357,412,622,038,712,337,010,984,134,915,769,
336,269,032,423,959,718,178,117,194,828,069,882,614,655,330,976,537,632,775,
258,575,065,111,433,687,719,898,145,869,265,913,511,563,867,367,599,210,633,
321,274,841,471,149,170,859,180,304,672,320,127,134,534,217,278,868,371,254,
991,846,626,179,768,528,625,106,160,587,533,184,149,747,175,443,270,769,492,
130,401,722,189,312,338,538,177,090,597,608,360,897,135,609,546,949,642,716,
118,668,011,773,906,166,475,193,174,921,948,563,373,150,839,928,070,795,153,
283,024,052,994,033,071,151,890,354,874,459,181,418,802,890,479,689,675,898,
483,393,583,987,865,381,241,784,992,115,909,741,590,457,014,296,223,601,366,
570,083,177,856,032,884,403,922,226,232,529,831,775,807,373,528,327,555,263,
864,920,636,778,787,239,036,592,816,712,792,213,621,145,915,079,794,969,736,
357,474,586,894,418,043,292,971,148,088,131,331,038,559,399,330,036,397,883,
670,604,857,179,094,781,742,026,950,686,882,860,967,786,256,674,330,577,574,
613,822,904,444,179,646,555,615,479,302,804,369,915,318,660,677,338,394,427,
566,126,838,535,766,488,403,642,106,806,803,242,785,866,957,562,870,177,334,
883,878,800,120,392,044,621,748,508,784,061,638,182,392,685,751,527,730,470,
577,213,926,880,652,794,160,190,714,682,372,167,189,436,561,851,172,134,968,
058,711,172,753,933,053,448,698,107,213,312,326,442,371,840,382,056,655,766,
291,960,190,091,120,200,101,200,551,664,286,065,846,843,800,640,329,861,533,
600,950,363,484,577,284,873,644,520,888,825,845,586,808,270,753,054,668,116,
073,033,717,667,799,725,749,326,229,613,389,011,980,669,969,686,349,035,150,
402,202,914,444,536,951,715,842,434,026,104,267,930,864,560,391,711,022,836,
097,350,796,940,595,215,489,882,183,825,263,401,220,562,229,184,425,976,252,
314,867,299,463,636,104,629,505,506,216,500,285,052,716,237,494,433,535,536,
004,945,044,757,486,062,883,302,105,562,496,010,565,643,770,818,345,974,638,
246,792,160,877,557,295,389,686,582,829,858,444,032,854,367,135,052,157,198,
768,878,368,666,754,630,571,130,914,894,747,364,792,179,168,024,109,282,479,
741,541,653,847,632,740,958,503,563,198,379,412,857,267,588,230,841,229,472,
627,452,749,400,744,996,974,652,893,371,994,418,769,480,426,787,658,700,855,
136,758,239,533,737,053,958,726,778,122,376,669,459,337,381,493,883,731,952,
510,856,301,168,699,025,021,662,971,021,404,018,637,153,704,076,294,466,691,
438,524,970,772,552,146,601,138,757,314,292,181,333,547,226,420,091,863,358,
270,932,621,132,686,832,192,209,632,440,851,008,980,940,905,618,973,224,344,
597,146,031,545,970,720,194,430,352,349,856,753,022,779,115,050,762,763,270,
589,277,232,746,353,851,231,960,952,097,208,144,048,133,980,702,982,733,093,
020,568,697,521,344,798,992,355,421,839,087,609,928,804,389,480,139,555,062,
184,861,108,843,459,201,396,439,559,289,675,606,366,834,580,345,843,184,611,
667,956,711,162,089,089,325,071,375,176,623,866,113,876,877,423,882,310,371,
881,875,549,769,098,747,935,619,065,339,879,550,681,226,313,386,420,913,448,
605,168,430,727,791,049,205,533,406,478,077,941,249,270,389,657,146,289,911,
237,940,391,129,727,697,939,232,666,495,409,205,579,587,785,691,585,987,802,
941,649,922,063,155,632,446,586,908,261,250,746,751,247,306,001,695,032,379,
118,242,239,308,521,787,227,996,199,984,716,270,960,258,869,271,031,445,950,
690,777,073,980,806,139,477,446,799,014,423,695,435,551,905,595,924,978,844,
093,163,602,251,363,762,287,425,796,204,480,911,504,372,110,608,126,100,666,
441,458,475,868,554,976,171,645,531,685,694,626,864,351,610,823,183,737,595,
324,630,036,591,740,214,331,068,454,559,971,875,009,700,536,191,153,200,931,
873,978,803,485,127,727,066,826,965,476,452,927,789,674,031,572,213,000,176,
601,876,121,843,608,410,809,623,526,982,142,688,709,860,622,479,320,895,067,
076,065,316,179,448,626,172,052,162,472,065,059,599,996,363,223,561,569,378,
686,110,927,471,720,795,009,916,844,257,195,540,137,186,383,713,530,355,173,
772,084,635,539,129,850,783,528,771,830,985,892,415,180,413,389,806,075,726,
711,129,498,212,307,899,969,156,022,831,576,309,581,038,484,235,925,229,779,
339,944,370,754,743,444,986,511,176,966,426,283,870,609,097,341,625,122,069,
483,527,414,268,486,450,413,304,630,022,496,666,283,511,668,944,247,009,914,
590,703,526,436,746,018,621,708,075,480,801,431,412,009,411,554,611,170,207,
345,652,071,155,185,935,037,134,142,680,077,944,780,015,424,448,345,182,440,
082,046,874,782,188,270,821,922,177,351,940,889,300,805,120,720,661,393,127,
922,563,564,829,902,164,392,452,652,898,857,203,518,353,848,156,443,475,253,
528,941,782,416,039,276,752,055,136,359,090,140,530,335,852,907,713,296,635,
330,736,025,947,475,355,648,747,388,016,408,277,623,531,471,177,044,940,713,
992,196,110,671,825,070,154,391,301,615,312,857,336,271,499,163,739,477,261,
233,517,367,235,906,075,219,554,270,555,676,665,623,582,096,506,763,927,212,
611,833,306,256,937,978,642,137,482,697,300,350,314,214,946,910,257,630,624,
231,624,782,186,068,919,964,032,163,779,589,317,045,686,079,378,541,613,584,
905,936,892,109,963,720,254,630,471,642,650,727,267,937,400,549,469,289,929,
317,569,584,263,950,682,451,657,855,537,412,406,132,477,529,032,812,230,007,
320,982,177,408,506,610,097,069,885,602,836,355,650,272,512,372,867,574,566,
256,471,837,861,864,645,779,597,873,328,631,146,279,159,309,414,731,260,418,
909,484,221,649,068,880,287,849,467,962,275,368,730,325,084,799,240,235,260,
619,870,620,869,209,375,306,323,787,022,727,073,391,648,573,685,490,684,446,
483,081,260,124,778,301,566,915,395,191,435,128,793,839,358,649,765,044,555,
938,932,042,816,485,567,286,251,779,134,753,891,098,360,679,189,424,468,933,
536,306,766,005,923,288,136,782,607,829,221,849,338,864,000,438,712,542,812,
873,634,008,957,185,496,246,416,169,762,901,085,351,627,146,780,051,606,414,
375,208,780,229,997,762,832,394,457,736,680,421,658,804,514,350,900,102,527,
883,889,475,549,918,144,961,722,873,008,974,287,165,230,301,485,969,797,906,
523,510,330,224,863,129,812,608,977,024,367,933,338,043,917,662,801,784,185,
595,272,032,068,894,936,846,598,806,529,296,440,979,929,271,774,146,902,621,
687,697,802,424,222,660,759,762,850,750,139,900,623,387,265,122,242,195,049,
296,845,430,173,615,389,288,798,913,097,933,364,973,690,331,164,127,077,693,
156,778,894,735,330,754,371,136,277,922,157,364,048,017,437,852,164,768,102,
446,464,275,579,963,431,916,055,224,656,639,251,388,105,157,557,953,281,819,
266,351,314,541,993,391,738,865,350,411,495,949,869,994,517,260,163,015,431,
756,526,032,984,516,690,198,898,719,754,266,461,671,116,798,485,536,387,818,
979,607,442,857,609,134,266,898,890,525,639,625,151,670,390,992,847,209,068,
526,839,558,324,753,654,175,035,148,833,732,989,858,599,721,788,618,782,061,
830,520,491,404,703,821,245,553,999,016,335,596,321,086,295,765,633,848,935,
981,122,976,913,139,150,762,825,487,848,895,873,416,494,324,478,442,322,649,
318,242,536,654,212,176,154,749,885,824,773,877,630,775,504,619,686,050,359,
226,892,769,424,249,152,588,047,527,636,371,123,620,234,461,274,269,899,670,
672,649,017,982,812,879,980,057,410,602,783,276,169,712,415,476,940,795,176,
740,630,869,714,368,276,276,713,988,123,115,326,249,714,110,674,644,649,763,
735,088,409,590,969,995,102,856,482,968,746,553,033,628,108,981,433,940,519,
216,450,987,765,803,833,271,060,057,815,210,757,383,091,594,502,998,147,258,
598,269,509,363,536,619,903,399,180,410,483,862,091,306,851,847,847,437,997,
580,623,523,340,438,329,343,481,920,989,757,608,225,279,309,178,851,038,642,
021,323,386,102,408,498,846,046,537,113,947,477,036,625,679,462,677,523,226,
648,459,486,462,736,908,353,168,477,139,042,553,669,532,400,656,286,901,239,
691,550,682,345,812,857,504,884,390,662,264,781,993,024,968,688,344,510,437,
842,133,764,631,718,435,868,729,354,416,685,396,186,985,751,544,417,777,886,
496,719,324,781,424,167,397,561,212,664,102,887,372,265,832,900,397,487,019,
344,372,378,822,840,178,187,078,204,684,430,601,863,312,809,865,014,856,001,
417,982,818,625,105,884,049,534,895,685,129,425,305,051,952,391,949,540,277,
517,521,208,172,386,434,056,295,837,507,793,669,925,692,207,506,365,833,390,
781,019,570,703,755,258,557,297,040,322,549,297,484,477,702,469,676,237,354,
559,931,549,255,972,915,007,397,928,762,941,038,135,439,098,254,087,444,508,
298,421,515,646,148,137,546,321,719,698,281,648,284,790,436,052,927,338,869,
500,684,033,178,245,771,268,870,958,393,784,791,272,502,524,892,386,746,473,
290,508,498,888,684,507,717,546,512,639,618,606,405,429,244,608,807,245,813,
169,185,220,235,934,776,646,284,354,684,091,065,450,842,416,611,213,729,478,
726,094,656,336,158,140,110,913,450,122,252,965,363,657,741,838,645,123,666,
804,889,185,696,114,507,650,695,919,464,709,409,770,093,415,483,168,669,142,
419,019,297,704,738,640,106,146,172,387,505,347,857,419,965,855,137,701,341,
702,830,690,453,252,564,407,936,487,828,985,795,185,263,826,716,393,472,008,
357,076,050,437,137,026,394,679,675,466,315,710,949,008,553,063,124,381,774,
733,219,615,413,523,388,662,320,706,378,351,371,309,559,057,541,456,720,028,
269,852,024,530,221,140,818,464,473,973,131,093,100,240,707,150,901,503,834,
280,191,647,312,856,805,708,193,019,050,047,594,875,130,057,278,571,307,965,
976,632,406,798,627,440,477,461,086,776,616,795,930,283,801,749,619,971,484,
934,590,032,417,803,328,191,404,244,614,118,293,702,693,124,870,840,163,816,
377,368,843,381,095,853,445,955,165,639,047,269,164,349,545,890,524,495,115,
420,864,301,262,527,452,053,965,251,268,459,712,116,323,355,086,045,945,520,
564,743,640,065,484,227,820,710,653,530,326,729,953,497,638,025,534,764,445,
836,500,615,406,654,459,778,115,818,280,546,600,908,431,732,560,898,954,013,
107,624,475,250,536,909,188,337,683,008,229,926,464,157,114,498,915,888,185,
737,972,144,352,360,803,407,763,610,015,522,373,377,964,908,988,761,235,565,
898,257,406,956,182,277,548,115,640,471,413,293,824,239,445,636,021,322,347,
271,402,722,646,024,054,589,133,976,359,192,270,356,667,886,179,920,843,887,
522,674,226,060,263,539,920,842,030,202,447,629,317,275,294,037,148,879,928,
556,196,458,317,774,745,065,483,605,679,219,314,132,743,049,339,617,361,964,
098,537,894,445,640,795,571,330,169,445,233,340,905,688,088,365,858,963,723,
680,634,837,663,500,762,399,735,586,580,865,021,838,229,328,968,299,449,082,
496,073,440,805,087,559,235,444,154,882,430,652,924,934,532,185,930,581,887,
022,838,657,914,613,240,985,872,971,195,740,352,884,937,064,250,645,254,260,
682,951,358,656,578,361,668,867,292,063,942,507,026,880,218,303,457,029,717,
118,069,747,212,603,934,457,877,597,077,740,261,411,562,226,018,939,733,502,
423,166,449,955,548,598,276,321,914,724,599,780,811,040,136,661,050,836,647,
925,421,593,861,368,499,986,939,087,644,759,833,506,758,790,985,559,421,338,
973,181,551,573,388,200,072,507,026,580,510,610,795,883,486,036,767,995,293,
814,655,530,951,355,500,482,073,228,301,896,065,300,559,826,925,361,791,564,
979,781,629,324,356,973,326,346,199,561,239,857,127,360,175,113,782,427,843,
993,503,401,491,070,982,725,566,688,693,111,898,358,293,771,366,668,284,208,
981,789,896,722,269,782,944,960,751,618,759,287,679,555,863,095,763,274,847,
420,362,745,191,477,166,035,179,748,509,725,289,166,983,475,095,053,120,243,
448,534,309,874,728,304,240,604,976,416,318,762,057,365,840,074,183,778,538,
101,103,940,952,274,259,373,691,090,144,392,326,588,608,913,661,743,177,992,
065,328,792,976,388,210,418,683,888,242,190,693,645,712,340,575,185,055,788,
109,666,181,518,070,636,247,430,950,440,933,334,882,184,458,636,464,804,076,
760,143,543,071,047,036,058,570,495,331,025,991,796,213,623,361,852,935,482,
975,026,021,690,521,201,088,710,059,842,052,409,581,048,576,762,788,481,859,
139,776,150,853,483,011,051,022,409,183,871,976,949,857,881,290,564,333,317,
542,414,283,798,735,331,675,942,774,616,778,946,846,877,470,721,830,091,541,
618,650,020,964,444,159,294,434,854,550,404,799,556,565,255,511,217,834,033,
955,237,771,182,039,604,118,329,805,553,775,881,851,569,383,581,616,636,108,
589,437,251,264,822,378,998,366,251,781,199,255,452,033,747,168,172,253,667,
595,254,966,643,930,195,733,458,979,545,851,077,681,454,318,229,694,451,432,
994,106,491,799,960,483,498,812,418,211,866,738,625,227,438,117,824,412,333,
331,289,679,228,864,928,403,918,172,268,573,722,511,574,787,615,112,801,988,
689,238,431,317,498,308,289,405,135,659,112,559,949,725,705,118,282,498,523,
263,125,830,602,818,881,035,784,251,339,627,187,826,036,021,730,528,335,867,
751,718,102,737,736,436,843,766,404,833,120,791,880,732,011,558,367,343,038,
693,508,607,709,366,175,573,743,134,190,831,046,779,702,709,523,346,887,841,
597,094,163,130,801,884,364,040,561,825,180,986,691,456,899,299,250,852,835,
888,821,409,518,342,673,691,203,898,726,854,693,174,412,648,767,120,945,255,
441,541,556,192,423,022,405,790,456,709,728,755,565,593,177,139,435,104,612,
069,409,166,371,991,873,345,638,359,749,178,275,648,070,459,675,778,437,517,
248,069,074,176,027,573,929,449,250,127,254,350,131,909,684,540,957,399,516,
567,405,286,254,147,815,329,180,698,646,663,724,753,934,955,815,730,973,871,
337,130,736,725,744,731,280,189,705,619,677,969,741,391,841,815,039,911,626,
008,512,769,128,529,454,770,736,252,734,841,076,512,447,565,130,810,945,507,
131,145,110,875,891,517,197,670,321,049,190,752,519,128,276,767,117,426,876,
915,274,272,278,551,318,846,147,067,045,438,665,668,985,914,857,208,258,058,
278,475,248,444,867,501,797,077,829,448,602,473,336,177,664,774,504,193,245,
590,396,184,488,745,502,522,287,430,433,763,250,792,398,608,298,914,378,591,
710,058,258,886,720,754,883,969,370,542,406,724,013,627,308,518,241,543,258,
450,923,103,234,327,316,777,425,876,439,859,877,722,364,570,830,489,779,354,
793,598,095,963,842,888,679,593,500,784,863,536,424,188,823,996,489,410,181,
981,565,580,251,351,665,173,817,627,703,449,652,681,923,392,361,049,444,762,
432,666,844,703,506,969,744,158,805,657,331,015,979,645,657,788,165,893,751,
134,829,981,220,561,870,301,209,519,797,083,112,230,790,235,178,884,150,417,
210,343,557,029,167,231,449,845,113,330,727,953,741,616,445,702,779,094,641,
623,895,539,070,022,759,107,780,617,037,275,972,322,779,817,919,782,272,435,
338,449,513,196,846,526,048,901,339,053,108,797,828,042,517,360,191,980,828,
498,928,909,382,875,617,361,752,831,568,269,044,659,519,019,338,653,181,492,
925,213,460,307,598,172,902,579,341,734,418,716,377,012,703,647,909,774,653,
870,527,927,741,984,226,722,088,218,229,175,066,582,200,284,927,111,912,714,
966,506,285,669,141,705,367,041,049,201,971,182,670,859,155,404,956,156,555,
108,586,301,590,648,636,698,033,525,775,681,103,950,244,925,026,655,207,385,
503,907,650,126,535,707,551,406,538,757,190,199,629,162,879,983,766,238,728,
453,900,002,071,260,216,999,854,764,660,244,837,864,154,339,647,182,048,478,
411,917,278,186,134,300,882,653,268,478,348,592,090,471,166,588,964,684,007,
689,049,669,332,059,817,576,433,964,505,964,488,634,410,935,494,963,054,371,
305,433,557,483,227,025,687,793,708,049,622,996,045,121,007,037,546,631,434,
577,370,233,476,208,112,073,534,204,436,543,706,289,077,730,796,300,441,736,
460,912,959,343,248,829,196,315,491,134,143,637,501,238,365,278,151,227,130,
933,296,934,933,189,124,083,516,900,625,694,333,879,578,089,188,702,828,146,
040,411,050,968,340,072,191,961,571,754,921,519,359,941,512,417,293,124,423,
577,976,572,188,046,656,754,987,801,882,043,615,285,755,654,374,629,217,697,
362,442,790,506,962,522,939,950,960,103,814,541,127,506,674,679,833,546,263,
809,452,181,065,108,915,008,572,002,249,991,402,554,681,691,204,731,363,113,
466,736,407,942,719,311,717,466,339,832,957,275,332,225,344,744,866,342,818,
650,637,838,483,366,238,760,112,239,490,801,230,547,921,959,815,726,736,661,
990,880,693,338,632,899,604,477,693,196,425,269,882,152,268,629,790,923,451,
177,573,745,831,528,122,445,032,547,854,820,286,535,709,282,776,227,373,759,
947,937,861,523,536,145,911,295,510,482,537,772,591,565,316,211,347,063,466,
606,116,817,754,953,218,201,578,629,488,439,797,011,344,602,573,365,533,925,
138,417,533,331,877,388,841,645,272,684,835,696,670,297,582,885,982,199,503,
431,854,097,328,823,973,085,519,036,605,028,769,604,392,929,576,978,973,167,
442,808,844,519,218,300,848,728,328,695,026,364,146,111,397,569,755,469,819,
492,869,326,896,658,552,498,139,971,395,429,934,576,311,279,382,757,709,033,
443,069,906,589,353,862,320,410,812,564,394,257,693,316,324,713,766,823,949,
507,854,230,671,327,677,461,617,634,902,962,529,906,135,094,242,475,266,135,
994,290,003,728,628,668,201,704,405,743,632,931,406,132,000,407,940,492,755,
934,582,810,536,037,270,172,540,533,450,162,953,829,458,981,534,271,357,488,
481,947,741,353,421,082,640,376,617,357,951,839,529,939,052,850,252,417,740,
771,815,645,238,403,541,856,874,531,742,174,213,065,622,235,872,735,489,524,
428,092,629,422,466,950,852,385,530,469,536,712,093,062,178,628,316,396,365,
692,591,141,381,474,985,847,125,869,849,002,768,584,261,655,231,367,145,511,
350,824,907,807,764,615,680,550,432,342,982,327,938,939,288,937,581,511,877,
189,220,760,748,205,853,320,077,171,302,456,769,977,166,311,629,600,185,775,
873,486,192,514,464,200,702,648,082,782,564,853,947,094,192,893,428,586,740,
741,993,264,737,954,874,039,836,319,206,886,853,416,162,218,083,595,846,893,
014,158,913,823,021,460,505,454,187,328,885,071,362,473,626,081,463,130,025,
903,108,326,393,437,348,956,953,670,565,519,829,504,318,147,202,284,221,782,
385,298,028,749,469,710,810,707,452,061,834,965,000,022,500,823,516,972,960,
628,461,253,513,387,366,356,797,626,999,907,157,009,252,472,678,052,670,561,
247,948,834,980,912,690,730,656,083,165,339,030,979,074,563,235,259,394,048,
590,099,496,792,644,074,144,728,002,018,565,825,320,195,037,923,623,443,130,
447,126,127,799,837,078,094,263,974,115,111,660,873,675,229,386,773,367,304,
316,526,709,998,861,340,186,262,443,082,882,547,221,691,571,324,986,651,381,
617,851,702,522,582,945,642,226,684,802,957,872,963,466,435,028,443,764,767,
528,636,735,169,126,656,631,460,388,250,704,918,554,758,821,600,439,477,465,
622,902,416,781,949,379,615,752,248,395,342,380,724,361,827,354,553,599,552,
611,870,212,146,772,372,888,102,734,780,451,312,593,840,258,386,844,611,893,
176,101,817,077,883,098,742,298,622,157,524,142,498,766,239,210,043,306,806,
364,124,745,632,247,757,449,943,284,072,391,757,992,412,832,685,826,187,383,
454,758,607,859,698,159,167,612,251,314,041,661,739,959,868,569,119,221,123,
099,321,818,116,403,487,042,023,576,748,162,388,158,999,153,435,638,693,685,
547,744,803,817,056,654,145,101,188,963,775,594,599,563,759,011,900,940,129,
481,096,530,727,816,650,435,920,461,384,950,853,119,114,196,298,473,817,843,
825,281,881,579,130,482,294,254,868,924,468,858,581,427,150,774,523,389,926,
222,478,300,846,306,213,032,476,796,767,254,406,499,976,334,967,230,318,924,
396,844,583,254,423,502,320,429,168,152,240,612,701,474,570,475,479,984,484,
256,660,077,227,420,302,290,740,454,847,447,829,370,031,192,036,116,610,887,
919,433,352,937,093,701,294,022,770,334,960,526,875,061,161,925,264,428,470,
360,866,147,889,723,575,286,311,646,144,907,647,859,608,422,580,065,089,202,
915,678,478,492,136,591,927,649,242,754,792,089,213,213,068,080,318,287,950,
141,958,417,402,277,375,172,053,772,112,556,549,308,640,241,369,510,646,589,
449,073,765,444,091,375,779,958,020,165,442,561,963,144,984,643,879,539,488,
584,552,304,666,911,256,674,561,143,127,297,488,292,616,234,844,172,805,449,
279,076,914,888,909,566,779,495,524,921,910,451,241,584,041,586,534,737,580,
769,876,486,575,949,783,177,722,257,936,061,481,204,673,892,579,409,983,011,
375,965,607,260,896,779,952,309,365,192,718,330,469,405,102,764,216,739,643,
074,621,177,255,743,952,588,605,625,537,892,185,227,759,167,920,178,361,236,
973,557,065,116,342,222,767,473,302,647,894,380,220,417,190,336,958,572,655,
148,663,552,158,976,861,584,318,897,295,053,708,479,186,938,487,616,454,314,
773,960,219,900,147,486,561,407,629,605,563,981,794,908,904,277,908,879,302,
790,117,022,866,962,342,294,467,362,142,806,948,776,154,055,808,586,947,335,
271,621,947,922,141,377,257,558,204,268,376,720,314,395,028,368,188,850,184,
272,917,557,678,162,885,161,528,979,895,204,347,801,043,073,129,365,980,019,
122,721,591,535,266,626,378,492,929,687,840,368,505,775,435,573,310,232,737,
202,297,361,398,313,929,164,017,205,491,642,322,644,286,584,476,478,126,020,
889,153,018,578,939,528,009,047,307,052,128,317,757,755,037,560,766,360,532,
561,022,405,795,131,280,991,425,181,186,329,101,579,934,879,457,596,281,541,
857,100,276,277,201,824,505,659,220,156,097,322,638,230,359,951,418,319,087,
804,384,108,043,668,560,328,295,382,995,207,283,184,586,530,674,455,770,221,
052,549,861,298,775,987,533,607,452,507,818,727,489,748,050,429,894,081,888,
959,466,340,704,778,687,146,571,944,256,825,143,378,449,878,191,722,298,778,
388,122,600,648,895,250,150,605,958,908,920,498,790,751,452,157,394,854,889,
588,237,285,387,195,640,426,818,574,452,812,810,147,166,245,911,214,498,336,
996,683,631,076,939,968,712,820,872,996,517,021,886,656,069,009,181,000,255,
704,566,496,604,193,704,472,574,491,619,173,705,970,712,375,645,967,412,933,
362,544,513,508,820,676,618,433,799,165,994,804,709,056,195,800,402,621,060,
475,317,729,109,336,891,172,216,691,540,313,018,107,091,095,875,077,205,658,
644,769,059,153,961,507,537,983,098,067,534,824,216,490,523,832,573,638,169,
803,191,388,504,384,855,453,187,942,642,124,751,410,147,335,894,278,203,983,
980,365,795,110,400,020,150,896,455,409,856,245,409,793,790,510,766,869,447,
211,264,515,978,100,588,293,276,838,138,125,417,684,553,458,949,037,163,081,
230,371,734,549,759,160,853,201,116,513,668,530,199,163,189,055,336,905,201,
593,513,232,378,082,425,771,046,682,784,458,897,778,955,879,149,339,842,138,
790,091,403,275,713,291,585,043,930,606,951,197,783,770,392,097,711,453,192,
676,645,615,715,350,615,844,975,055,294,467,652,679,407,768,609,959,757,270,
150,344,860,302,699,336,509,329,610,332,586,613,111,013,834,921,559,651,684,
249,724,334,850,975,658,227,235,983,946,035,842,927,654,251,566,772,821,107,
805,384,553,323,743,931,467,207,757,052,592,299,575,026,095,839,884,409,048,
343,736,161,679,283,454,782,899,258,516,569,197,242,710,018,963,473,106,785,
278,746,827,571,341,835,360,480,162,060,656,902,140,152,609,479,201,482,648,
678,644,096,672,122,508,199,099,509,913,891,693,190,192,166,514,300,113,536,
677,948,279,104,188,282,805,360,079,236,863,106,285,533,609,486,789,015,318,
382,531,384,644,209,934,501,986,667,558,836,295,768,682,449,778,912,893,101,
253,599,865,337,344,798,383,642,794,225,951,386,436,664,529,816,431,045,912,
816,259,268,105,053,860,655,962,782,501,108,213,446,665,205,641,509,321,020,
252,140,209,343,509,620,397,754,032,534,887,841,109,203,355,158,925,971,087,
343,973,865,826,573,914,652,056,875,044,828,872,072,513,666,416,366,409,752,
975,015,968,498,340,244,634,318,502,883,917,088,598,944,133,369,112,096,394,
798,900,965,737,456,394,960,099,084,335,861,379,017,217,211,832,449,366,819,
792,193,065,908,320,759,973,127,765,247,919,126,611,173,534,291,116,629,099,
806,498,773,303,749,075,914,493,020,807,003,072,065,737,291,319,313,267,357,
703,182,204,380,747,812,725,490,701,908,059,275,819,174,019,337,962,032,295,
676,594,821,385,386,879,358,591,038,215,019,589,968,420,127,457,066,986,183,
706,627,005,564,359,519,303,636,697,867,780,462,649,705,749,660,653,219,259,
561,881,381,852,634,551,762,469,235,223,078,313,502,489,940,556,440,382,544,
682,706,348,511,538,316,515,799,597,087,586,259,176,513,419,577,686,281,930,
945,251,672,986,355,719,911,169,768,688,831,110,453,641,936,814,227,876,592,
982,727,816,607,419,213,218,580,632,791,417,634,353,006,818,359,501,121,591,
387,794,536,810,536,748,460,440,727,068,821,936,580,826,687,735,068,069,954,
383,347,670,164,445,277,309,042,104,693,652,671,616,444,999,382,518,179,026,
437,507,657,187,198,327,393,336,994,340,366,526,479,790,672,760,337,870,289,
270,961,426,371,360,833,479,530,957,675,196,301,324,500,335,504,373,191,703,
083,161,928,063,359,699,455,825,766,761,669,110,676,834,207,852,817,661,780,
933,419,346,803,871,144,092,612,931,409,732,402,382,671,216,505,822,792,705,
887,103,153,522,803,195,162,451,241,304,602,234,670,034,311,753,857,233,573,
759,008,662,177,681,581,609,885,578,860,114,589,520,544,882,628,609,814,837,
107,609,224,580,255,849,896,935,523,984,427,162,280,003,114,065,904,052,828,
298,701,320,852,742,171,013,070,660,613,905,056,854,424,274,925,815,332,761,
961,185,971,549,352,162,285,453,190,755,287,066,837,748,809,688,534,411,531,
621,957,698,367,674,002,493,810,450,583,055,120,229,622,027,464,240,697,900,
867,412,073,217,279,200,193,622,518,435,882,924,780,911,003,249,410,607,789,
411,125,455,008,021,652,426,624,288,144,522,423,850,815,435,782,852,341,906,
491,265,336,703,371,835,285,812,627,126,961,590,729,540,012,338,589,798,761,
617,275,415,845,590,763,305,048,557,825,264,350,993,186,885,780,057,311,106,
259,257,561,154,101,426,654,460,356,563,346,354,577,244,040,731,400,481,434,
141,914,937,325,952,277,108,518,792,916,629,667,543,881,091,877,518,524,867,
162,848,155,612,792,605,007,968,451,841,917,001,158,274,361,975,553,139,419,
572,898,323,214,197,184,064,843,949,323,537,854,548,079,596,226,738,480,610,
505,415,027,864,915,880,301,627,973,396,708,311,568,549,459,530,849,989,866,
805,281,862,594,033,546,780,543,997,917,995,181,893,028,573,449,572,562,027,
365,314,466,563,823,036,828,096,976,022,327,716,576,352,739,539,913,483,371,
964,712,874,368,568,926,273,195,882,285,624,443,283,161,598,457,141,763,785,
959,265,491,159,890,763,473,536,394,966,397,710,952,501,913,177,007,562,752,
508,465,779,181,950,928,237,350,213,696,866,428,113,703,790,831,975,829,648,
440,663,112,598,400,301,667,707,727,452,586,500,446,777,453,908,325,857,978,
382,315,766,633,163,353,562,184,327,368,514,925,418,517,089,985,016,389,046,
299,720,682,828,233,672,451,862,570,921,018,236,472,231,499,972,909,853,166,
870,626,473,387,083,243,126,675,855,731,541,139,258,419,041,320,755,516,986,
453,172,447,440,107,798,667,741,501,687,278,610,356,245,631,437,284,193,512,
469,835,038,184,988,679,194,119,650,612,297,958,010,755,185,193,673,403,925,
114,769,574,263,806,967,124,041,107,015,970,429,506,169,047,381,293,214,152,
353,228,405,050,883,489,132,955,374,151,914,774,686,755,721,624,818,260,562,
649,699,854,850,927,444,058,606,118,758,999,870,153,594,603,930,781,306,170,
855,993,991,629,874,148,760,939,259,944,903,489,412,826,576,919,574,932,889,
857,415,074,427,799,970,994,882,454,940,673,542,419,170,382,021,936,107,786,
985,887,327,980,858,536,221,999,176,568,518,178,392,620,967,706,877,193,134,
190,587,056,367,155,340,173,008,796,706,388,107,339,266,314,710,327,966,155,
613,253,669,085,038,268,344,489,438,574,668,988,117,582,443,394,057,646,179,
366,954,565,614,092,707,999,874,231,550,534,290,502,472,741,002,418,979,650,
948,162,492,333,089,112,999,880,593,697,409,594,808,393,050,573,825,620,713,
587,316,490,212,607,378,867,512,071,027,810,840,765,911,451,484,013,317,516,
923,214,364,449,990,077,080,603,628,900,001,407,238,777,618,922,292,582,893,
131,134,591,147,449,574,472,347,309,501,857,898,169,167,113,824,973,408,919,
592,748,929,445,270,440,903,803,199,270,756,648,924,287,493,636,272,476,855,
988,168,826,155,190,012,765,560,995,563,182,804,075,565,058,098,858,900,735,
789,623,924,249,085,523,120,630,734,217,651,038,393,014,923,698,426,298,036,
747,672,667,000,961,921,729,744,735,208,821,130,359,862,156,312,578,456,287,
902,469,326,875,493,192,578,323,950,865,746,756,868,679,664,366,877,750,964,
947,405,270,920,846,486,299,875,285,167,067,874,975,109,719,084,189,992,146,
080,322,375,384,735,512,873,453,668,332,263,541,430,572,884,300,080,284,523,
811,976,072,576,539,155,670,384,188,270,301,546,081,796,114,652,772,153,408,
754,603,855,431,626,936,517,580,740,775,070,017,407,153,925,456,671,271,168,
256,551,125,521,720,684,691,833,776,127,367,944,552,593,355,865,054,739,307,
427,721,565,889,791,045,190,914,050,245,633,524,416,718,420,277,354,199,212,
925,282,175,447,121,973,930,726,078,662,686,160,461,088,277,061,799,694,277,
757,216,767,135,381,383,964,936,162,136,468,027,835,505,636,681,721,147,292,
995,329,659,626,174,182,855,857,149,834,131,519,721,012,587,080,064,296,175,
592,024,960,455,736,664,943,534,021,135,760,987,588,370,147,020,966,057,940,
759,919,431,173,952,218,023,278,529,730,658,715,694,482,460,903,493,766,070,
198,500,137,278,216,905,911,130,855,088,952,112,519,663,736,742,043,113,333,
573,408,873,412,783,502,623,644,988,420,595,081,846,312,519,576,774,449,702,
972,973,687,486,464,961,431,324,404,166,319,961,536,957,161,847,382,178,936,
688,677,814,977,766,477,412,849,106,682,483,824,482,669,064,571,194,697,009,
658,433,244,002,775,515,455,331,867,603,065,489,717,749,909,829,823,019,883,
497,086,187,171,663,410,942,104,145,172,491,763,591,360,239,704,946,858,516,
505,717,692,355,145,062,168,457,807,142,065,880,902,402,445,946,140,040,741,
602,782,945,698,525,512,854,142,721,192,881,298,116,524,267,305,911,724,919,
352,854,127,690,820,846,476,890,671,622,427,136,811,839,100,021,749,747,416,
431,822,443,359,958,062,769,856,438,759,309,930,388,540,895,050,629,563,407,
815,800,926,710,210,395,373,787,412,898,189,382,594,706,723,265,017,549,346,
602,013,322,270,023,652,035,015,232,967,994,325,776,523,591,843,310,886,893,
922,825,983,159,356,367,523,702,081,673,847,999,254,858,842,777,032,070,846,
116,589,431,823,136,395,521,927,952,318,746,385,300,172,269,145,172,404,326,
209,786,594,363,470,644,162,650,158,149,074,505,285,427,447,302,319,374,732,
000,972,239,831,144,879,109,334,705,852,852,761,245,316,157,699,024,844,797,
632,684,357,424,453,984,898,488,785,557,280,979,941,660,926,723,129,254,010,
915,613,429,780,798,209,944,561,006,033,541,298,644,392,962,032,949,379,172,
217,092,005,537,364,770,981,901,649,020,588,282,202,281,266,667,325,117,312,
944,045,388,079,901,324,937,888,977,653,385,889,055,693,989,457,168,849,985,
652,296,798,516,472,905,297,579,050,245,571,660,231,006,004,015,325,114,139,
274,521,314,271,672,722,421,200,351,831,857,402,962,352,108,605,965,364,163,
618,392,648,542,624,404,760,038,288,925,770,260,405,094,038,034,738,701,606,
401,053,642,966,482,352,767,630,626,204,517,496,023,798,758,759,647,298,601,
390,275,083,092,967,883,984,044,093,677,825,682,140,791,667,432,653,366,484,
960,014,622,612,290,940,071,993,160,310,150,578,766,483,445,072,989,456,407,
160,577,103,505,619,994,778,546,975,515,271,197,942,245,288,696,435,434,085,
905,059,078,257,359,600,519,056,454,354,212,802,052,613,899,704,758,812,125,
361,632,870,934,847,712,219,952,050,754,386,082,286,032,460,327,260,404,458,
545,546,881,953,032,505,815,310,656,216,299,415,647,028,207,102,261,163,233,
149,885,699,798,154,389,109,862,493,259,599,124,102,858,355,469,208,727,268,
544,018,105,725,067,837,639,105,365,813,599,489,330,485,000,274,623,949,114,
120,174,009,733,030,490,465,598,718,415,608,805,588,143,928,925,278,647,006,
170,563,859,908,232,954,511,248,179,249,992,744,012,868,295,086,840,922,622,
268,409,077,867,291,034,697,549,679,188,717,112,904,575,778,109,810,987,254,
914,044,148,754,212,948,516,997,588,317,257,744,402,040,463,274,640,461,748,
615,604,646,527,484,935,612,422,041,634,544,805,820,001,356,654,758,119,101,
866,272,010,715,900,145,077,674,511,629,576,083,609,164,569,771,164,793,858,
123,060,370,621,102,211,173,343,654,646,541,408,670,927,651,707,781,045,908,
564,319,591,683,778,095,578,012,778,354,044,476,167,924,412,557,620,577,524,
089,763,984,869,240,091,966,901,937,937,180,384,371,731,219,275,428,070,149,
517,540,884,103,042,665,676,261,478,875,786,994,046,605,949,738,384,524,030,
669,857,568,871,841,744,442,674,581,576,406,660,054,275,266,690,602,484,380,
384,362,281,464,954,373,509,467,534,226,652,623,310,429,589,874,698,356,944,
020,102,568,504,311,960,691,350,852,653,702,591,880,336,442,586,120,118,618,
426,670,935,918,768,165,307,200,114,818,979,701,539,341,500,742,797,526,796,
382,168,736,760,402,211,550,531,133,571,998,286,434,465,937,112,687,305,476,
416,583,426,923,496,138,820,148,271,554,394,468,316,850,762,249,243,958,902,
377,567,029,810,914,840,513,688,864,959,904,428,100,307,387,216,802,457,115,
953,961,328,384,952,455,061,821,038,302,298,808,654,810,946,883,217,745,580,
151,777,688,069,025,897,806,922,819,670,084,797,582,382,724,884,636,016,243,
462,824,944,736,801,043,471,334,015,222,551,729,597,064,701,234,676,225,408,
406,022,509,662,467,578,528,551,143,238,602,595,939,875,085,636,666,393,335,
063,650,317,919,946,734,746,574,131,699,125,711,825,122,638,267,813,155,448,
602,917,747,407,413,737,876,545,876,182,431,859,715,669,509,005,084,030,765,
576,035,639,748,884,576,614,086,199,892,694,597,273,094,012,729,692,338,889,
718,727,086,260,455,067,062,457,598,750,356,674,103,640,900,451,875,950,358,
148,250,856,906,115,282,185,990,883,056,942,328,019,677,519,777,460,331,082,
224,676,970,315,353,097,962,137,149,243,109,984,347,111,338,741,082,979,475,
655,189,397,361,608,608,301,370,269,130,506,183,115,147,872,540,501,809,265,
164,289,535,946,863,130,480,458,574,911,064,423,026,321,420,173,450,665,977,
709,213,542,223,313,653,205,190,007,127,562,163,522,150,284,213,995,993,094,
696,832,045,863,376,880,488,598,191,375,431,507,251,289,900,183,470,312,682,
187,766,619,167,656,954,591,226,114,465,103,066,725,902,802,277,318,303,725,
891,689,609,610,325,341,312,274,200,248,598,437,615,146,231,454,543,016,619,
411,532,473,724,589,678,490,016,301,911,603,181,873,085,824,404,187,561,464,
039,262,908,574,448,117,211,504,760,073,276,996,198,865,146,564,818,118,504,
865,284,071,568,068,765,278,305,512,513,183,692,984,843,859,809,284,022,385,
383,505,212,151,244,320,005,306,872,220,965,855,101,956,040,017,338,279,681,
530,270,446,162,763,382,964,318,406,114,826,555,329,484,046,077,779,959,402,
840,137,780,627,809,520,992,475,096,789,935,079,979,229,781,951,690,120,394,
716,692,038,055,908,294,636,331,270,883,569,750,811,436,966,794,902,335,506,
107,724,797,716,132,104,117,774,155,419,463,653,627,422,023,807,466,331,788,
849,760,236,095,048,962,578,189,706,008,012,715,650,868,412,477,393,842,386,
743,573,349,610,188,597,715,443,090,486,981,989,420,111,547,306,628,112,063,
522,739,701,310,617,447,259,375,021,381,521,721,615,096,190,980,443,040,715,
881,692,351,086,602,409,419,352,777,813,328,400,209,746,358,232,758,896,338,
072,849,742,293,372,038,833,682,489,970,514,645,834,580,835,312,374,601,987,
190,684,791,794,930,045,932,158,597,471,157,895,104,515,570,435,549,527,558,
125,698,444,480,094,844,091,116,795,701,646,684,119,324,131,646,793,668,885,
399,762,811,594,755,996,069,783,766,827,773,285,761,109,480,290,204,973,531,
144,311,253,491,355,999,512,118,950,662,525,721,707,742,292,234,523,065,666,
132,907,788,025,801,427,292,894,807,990,326,745,669,509,740,377,855,067,282,
214,812,015,628,529,751,740,327,254,941,512,552,316,362,703,926,691,452,372,
120,363,216,175,653,389,935,747,160,984,489,651,526,649,978,515,513,856,047,
407,177,376,778,836,243,631,489,436,679,050,590,877,381,785,600,969,523,171,
749,227,002,791,675,553,920,922,924,239,722,064,548,066,912,452,043,839,775,
177,984,581,289,356,903,583,334,303,928,096,381,682,773,161,123,642,098,055,
096,031,925,791,139,901,610,518,946,181,571,466,800,515,357,810,682,429,809,
562,090,348,485,637,165,400,459,570,840,343,137,684,933,799,037,528,844,448,
660,071,086,615,523,143,612,173,647,466,387,492,985,546,420,089,055,573,001,
508,008,751,659,174,837,496,303,784,928,636,367,095,746,394,496,973,947,199,
089,427,818,003,211,370,948,047,457,066,780,848,565,575,808,315,576,690,748,
472,156,711,828,777,022,795,139,222,429,887,695,372,654,731,438,986,614,108,
680,454,163,470,936,371,812,522,658,916,562,711,706,909,823,890,632,818,285,
819,141,596,494,941,662,961,196,598,863,600,226,318,383,481,125,481,888,764,
878,525,327,544,094,329,363,440,105,684,571,807,350,961,173,785,726,588,432,
586,749,283,541,692,897,978,481,618,217,864,935,576,712,586,874,752,750,999,
188,031,598,281,308,145,337,694,430,774,095,904,673,233,922,939,178,855,102,
088,417,455,955,521,627,553,477,477,287,425,724,925,872,950,818,154,834,836,
969,793,548,702,082,704,282,136,254,925,509,987,205,624,778,380,189,490,988,
584,889,760,684,208,856,712,458,013,571,642,277,150,532,201,722,731,821,452,
188,540,336,904,112,641,978,502,464,856,440,359,131,377,872,642,538,203,967,
732,177,842,222,740,550,511,550,068,548,102,498,740,129,818,651,991,894,542,
147,879,736,503,085,349,549,031,216,693,363,222,319,487,084,375,667,845,152,
346,403,576,031,801,869,361,630,554,085,682,321,816,576,290,624,697,231,369,
509,273,072,918,515,404,767,634,902,326,448,675,726,621,327,910,688,597,835,
013,908,737,013,476,695,518,098,035,247,891,887,572,393,371,691,765,111,440,
922,864,248,598,277,377,510,300,934,927,854,268,864,886,899,758,706,957,992,
585,529,370,389,947,226,429,305,124,139,274,876,698,081,495,257,696,160,557,
303,619,722,314,552,160,473,612,345,567,146,063,380,707,773,251,777,202,242,
361,296,013,836,803,416,005,661,239,002,542,926,941,083,357,382,393,776,234,
184,429,449,596,191,604,380,312,627,690,685,069,412,118,829,374,994,541,382,
707,541,454,339,309,088,625,757,046,132,857,509,270,416,655,385,515,549,431,
122,832,578,352,890,594,309,634,614,561,946,736,281,377,493,772,359,636,805,
556,237,733,119,176,810,808,642,633,740,981,613,044,226,859,383,372,051,444,
274,559,274,976,688,475,278,440,467,585,849,758,651,821,617,839,697,548,374,
732,676,981,412,211,473,280,726,010,304,034,289,050,306,015,985,713,437,191,
791,596,193,948,780,477,942,474,370,044,538,346,440,631,292,274,705,830,317,
235,338,149,761,038,543,380,047,277,474,075,646,712,195,334,325,415,653,404,
028,075,785,748,623,159,263,717,541,653,762,272,269,112,110,257,366,874,090,
031,588,235,584,681,940,053,810,138,702,233,526,437,341,720,636,334,052,951,
202,017,067,903,352,887,107,787,053,728,643,213,150,104,345,687,307,147,987,
124,214,080,254,022,388,720,252,330,048,480,423,985,172,411,287,805,415,616,
529,024,196,022,938,881,332,000,053,668,897,592,861,670,602,948,504,159,852,
507,392,967,152,929,480,671,404,759,175,827,942,971,083,103,774,577,934,625,
260,638,097,288,756,105,175,867,723,228,332,307,034,946,441,835,781,664,472,
204,171,193,857,556,947,299,195,749,456,911,464,562,674,667,390,813,124,426,
541,966,500,039,618,006,893,977,470,646,435,674,753,477,883,320,864,435,089,
844,940,643,865,578,879,834,434,360,930,157,700,534,912,641,338,237,117,007,
006,790,529,001,120,046,519,601,581,796,365,807,095,320,151,331,634,279,221,
547,168,361,081,976,201,772,478,164,086,205,037,545,038,804,190,516,386,489,
778,704,528,299,413,593,127,351,574,502,439,136,692,453,977,747,947,514,232,
989,432,961,710,377,111,381,635,604,490,288,112,108,210,520,257,922,595,580,
941,945,390,269,969,391,006,812,495,995,380,602,093,112,231,909,319,342,026,
033,505,932,926,049,692,589,397,879,682,104,393,915,390,893,818,972,538,353,
946,992,611,959,229,156,393,034,891,426,915,719,310,215,856,121,823,443,539,
046,110,107,693,560,809,870,823,136,090,386,987,414,151,301,102,900,656,276,
666,503,127,883,190,803,675,989,272,314,411,810,970,873,132,563,703,030,715,
109,467,161,694,008,021,488,383,994,433,233,158,025,500,602,748,933,417,386,
199,907,979,898,961,045,824,213,565,756,983,770,535,030,101,784,545,634,694,
044,882,091,866,771,249,065,114,246,324,928,258,350,097,385,920,943,307,244,
976,804,053,118,825,791,300,366,093,174,838,787,807,021,358,019,619,563,820,
360,360,846,625,194,757,140,047,552,293,154,548,635,069,015,372,496,241,410,
473,052,049,253,531,868,779,645,818,812,406,665,797,085,418,483,505,000,011,
090,208,426,571,242,019,526,982,647,917,766,535,967,737,482,438,227,707,050,
003,748,364,740,790,113,214,570,587,224,202,322,223,091,318,733,461,929,028,
488,607,884,075,501,397,866,901,257,681,427,351,937,804,989,730,320,656,633,
933,518,772,760,764,970,526,124,269,316,715,467,866,595,129,426,164,963,661,
637,932,347,339,170,005,277,544,663,674,199,312,191,744,970,100,237,001,471,
148,887,334,753,704,695,940,574,444,946,538,605,823,313,189,439,956,461,071,
497,781,296,768,891,963,495,634,767,972,658,780,396,059,568,787,120,152,857,
883,771,269,037,329,533,230,778,889,113,614,105,477,796,177,098,286,955,724,
724,891,369,657,905,146,259,216,324,048,345,995,139,091,232,982,224,594,284,
660,355,625,318,806,845,343,588,191,921,195,446,908,187,871,956,480,613,148,
695,027,485,334,672,750,677,481,883,663,602,099,127,708,484,960,900,491,415,
070,628,211,696,554,280,771,975,344,619,738,949,607,129,364,246,792,513,638,
637,617,957,103,916,527,851,957,674,598,970,280,106,597,318,151,206,998,538,
707,206,582,356,421,552,220,568,201,075,279,372,458,496,762,726,177,405,254,
605,381,784,193,895,560,713,257,253,627,718,968,644,119,806,254,836,695,687,
075,193,929,102,240,374,692,419,322,260,643,624,052,089,349,820,145,666,576,
915,106,696,994,415,454,678,771,761,995,451,211,186,288,526,636,444,150,445,
525,978,536,303,744,008,756,916,830,313,407,019,584,052,524,084,372,760,012,
144,098,784,091,914,937,767,029,466,133,508,573,041,800,498,803,147,643,399,
499,735,808,520,435,134,048,178,189,355,536,368,938,684,527,130,320,720,381,
118,740,617,059,716,353,853,224,018,399,796,135,143,219,743,975,599,281,160,
993,192,669,116,416,163,480,781,310,527,854,727,059,973,442,146,196,052,860,
896,559,584,691,691,889,786,318,915,609,654,763,643,167,655,427,583,016,670,
890,687,724,451,093,412,258,343,554,489,550,116,397,134,918,570,295,257,999,
943,138,775,715,061,646,995,454,329,308,169,460,081,406,992,211,096,038,144,
426,395,124,502,296,322,621,086,300,486,655,370,258,638,685,597,074,083,244,
396,041,876,410,884,537,342,770,023,541,449,242,663,655,756,039,604,465,211,
026,132,427,247,783,558,192,498,497,263,432,970,369,385,417,460,790,336,186,
179,554,467,745,499,277,960,436,944,800,547,536,855,163,458,147,336,653,127,
989,440,442,885,516,155,459,481,805,416,393,307,819,190,549,405,484,885,488,
066,444,268,411,997,740,340,036,013,995,978,292,322,675,424,501,033,113,473,
210,177,708,446,150,443,953,322,151,089,718,147,477,840,839,298,286,642,929,
966,470,320,651,024,158,511,553,429,918,704,627,768,991,818,822,944,207,927,
731,641,770,511,565,148,939,807,494,831,159,058,424,164,504,549,626,810,748,
929,178,067,143,675,903,382,936,795,942,382,386,574,000,780,778,905,669,801,
707,557,940,045,528,634,868,315,916,117,648,663,825,572,344,829,942,754,136,
717,279,145,133,267,615,016,373,901,178,864,323,178,126,254,042,693,956,580,
186,352,409,874,604,515,037,010,210,177,969,442,199,247,301,013,758,686,453,
482,338,015,561,999,897,353,823,999,241,636,599,570,297,227,998,233,957,152,
605,952,392,468,516,603,649,682,122,316,318,593,305,478,525,307,137,023,205,
436,936,996,575,145,392,358,651,449,271,414,189,532,545,487,959,635,318,433,
253,740,373,556,709,938,616,256,607,480,745,531,533,365,006,803,610,484,650,
889,992,870,949,849,949,203,349,059,494,078,544,967,549,807,154,997,482,933,
200,102,558,766,095,367,990,574,010,964,186,558,008,614,031,042,432,980,187,
639,580,691,238,895,553,767,906,761,778,602,799,980,791,617,892,200,943,197,
525,702,436,307,999,230,529,935,136,856,636,612,515,053,850,752,562,209,699,
437,106,258,308,948,391,230,380,305,340,108,162,441,188,741,292,395,771,060,
612,791,089,559,467,436,624,457,281,570,722,310,648,245,720,528,292,733,635,
693,562,780,541,561,109,318,405,692,709,702,230,177,090,253,849,879,389,589,
726,265,096,308,737,017,426,099,742,648,153,382,976,589,867,849,058,788,719,
859,703,603,496,947,357,011,227,479,078,543,040,833,125,410,242,781,091,388,
748,861,922,846,412,466,772,248,006,668,657,175,480,459,154,604,952,219,366,
752,462,906,006,454,815,765,436,256,773,503,213,125,142,501,248,578,445,733,
837,799,758,789,259,130,638,676,682,218,176,301,079,656,038,729,896,685,251,
225,115,741,409,615,652,325,967,080,823,883,337,977,428,371,419,511,212,206,
444,147,999,621,634,705,283,595,610,435,518,516,869,926,762,136,957,798,716,
503,212,541,759,717,747,480,794,864,846,668,746,149,550,211,693,581,622,175,
544,453,876,173,314,581,603,263,308,366,926,852,860,121,008,825,923,557,917,
416,983,826,213,285,595,647,634,037,944,868,312,344,487,188,338,046,750,858,
365,990,993,400,014,056,807,521,779,023,253,897,070,080,559,419,013,037,245,
535,406,601,279,510,083,423,898,685,257,191,254,518,535,091,334,627,864,521,
238,975,660,147,105,457,726,501,163,395,278,742,187,923,784,986,982,032,743,
093,076,585,148,498,054,258,551,704,418,005,940,548,888,819,129,582,212,802,
203,840,967,396,859,838,064,570,439,611,790,263,350,506,804,762,605,837,764,
397,604,244,210,219,012,837,778,188,074,257,602,228,297,465,124,219,028,312,
479,552,171,355,654,729,420,850,143,007,761,194,498,935,727,452,565,450,196,
842,045,339,449,333,673,331,205,983,496,997,698,587,695,975,521,536,949,933,
879,154,563,747,385,314,157,654,452,246,078,913,724,527,642,955,863,074,622,
047,416,054,398,996,851,342,659,987,056,585,311,376,998,017,549,814,459,082,
065,236,751,802,681,867,570,350,945,292,039,436,779,773,353,589,534,490,216,
045,933,472,944,291,268,908,123,376,972,613,506,648,761,169,529,999,518,880,
053,202,677,103,450,879,815,132,281,593,321,864,166,528,563,101,725,063,287,
376,272,945,121,393,194,607,419,730,838,658,220,843,197,544,860,346,154,971,
855,976,545,832,595,796,566,284,415,504,955,122,931,741,962,369,465,889,951,
328,135,305,517,017,267,024,971,219,907,082,337,068,639,196,725,865,877,335,
835,678,375,768,675,335,613,710,676,902,994,090,797,781,179,091,960,497,923,
949,527,253,864,976,903,936,513,453,644,981,743,089,476,972,620,741,081,341,
966,427,234,151,540,820,631,566,212,046,452,361,406,502,175,375,141,340,285,
391,248,820,933,531,346,207,617,927,055,984,504,342,492,013,261,329,814,127,
752,592,390,091,128,276,536,118,371,039,847,654,770,366,065,191,534,844,743,
240,959,915,150,131,930,993,726,903,306,175,628,965,479,273,953,322,904,102,
757,702,214,470,888,667,248,933,767,252,416,840,461,369,908,250,121,952,585,
332,250,362,553,466,547,540,938,617,430,242,823,129,617,331,137,390,261,855,
263,978,027,820,513,534,446,657,374,651,528,197,635,266,258,052,387,057,216,
661,251,606,067,496,435,482,741,759,946,920,028,249,261,944,276,689,637,598,
001,600,532,846,791,956,521,604,102,455,932,392,448,192,638,966,444,686,833,
579,805,658,704,641,352,433,650,340,950,760,667,805,339,376,141,708,397,987,
149,015,082,323,198,927,115,557,089,104,779,022,453,353,146,719,429,482,213,
015,842,050,589,508,183,786,534,039,395,019,984,612,296,148,919,747,591,991,
611,009,095,708,520,508,622,471,326,785,669,978,242,652,207,061,235,961,514,
318,412,393,016,520,622,492,380,725,170,366,659,132,478,680,960,536,637,856,
428,800,382,191,308,162,894,085,966,935,411,414,169,076,161,146,819,226,672,
247,994,458,036,093,814,057,889,232,505,223,610,436,997,292,030,696,496,997,
278,162,487,209,997,637,452,268,140,652,483,234,509,389,595,264,583,265,047,
091,536,033,728,150,204,507,635,170,147,084,083,552,207,041,204,095,477,103,
351,975,374,810,118,936,424,071,641,899,907,330,393,066,555,760,203,919,066,
871,585,169,932,347,641,847,737,911,878,130,257,487,808,372,428,873,011,155,
312,027,621,736,321,280,356,111,765,189,971,539,219,336,081,730,461,682,917,
867,013,279,421,773,532,272,011,138,577,437,576,491,780,222,778,351,240,585,
181,272,466,134,271,721,733,944,268,463,225,036,021,176,883,673,740,113,806,
118,919,197,697,571,314,175,420,793,318,054,164,405,178,759,934,119,509,556,
124,809,843,216,884,815,039,635,455,591,298,307,057,291,300,814,026,750,263,
512,376,418,946,549,132,214,192,915,591,341,072,615,542,928,286,825,406,175,
985,805,371,470,613,024,017,997,591,852,683,768,693,647,372,004,952,636,424,
464,793,175,918,606,874,647,242,360,913,319,556,737,920,173,991,577,479,993,
787,096,833,305,627,039,545,671,954,456,525,296,243,951,371,395,788,145,039,
041,579,152,695,660,654,394,816,338,922,073,264,079,899,985,069,151,570,788,
022,839,149,481,694,484,557,881,375,360,465,490,305,155,899,961,306,815,016,
952,224,058,053,103,107,330,180,318,281,839,652,928,475,707,368,044,490,592,
446,765,734,291,383,864,257,594,745,067,103,107,034,776,223,156,279,008,870,
206,693,520,422,320,603,404,266,024,209,463,273,380,273,315,173,516,051,652,
367,034,607,386,354,110,225,793,635,747,864,191,967,029,297,009,180,040,243,
239,755,188,973,412,463,179,071,865,046,655,573,903,395,309,432,734,427,945,
593,635,336,857,039,806,134,882,261,881,627,950,603,447,838,203,805,464,320,
320,028,300,133,966,067,056,574,635,068,055,065,090,866,986,563,768,487,518,
043,899,120,686,151,837,986,166,544,596,157,888,631,827,058,652,595,362,991,
126,440,524,733,997,492,055,141,043,922,552,323,720,734,668,263,566,198,138,
752,430,728,581,419,274,698,645,884,356,932,554,684,356,466,313,668,214,298,
107,745,529,997,987,515,062,924,503,515,162,098,799,144,242,011,683,252,471,
653,419,350,407,953,108,859,777,019,094,009,699,767,812,692,647,360,565,442,
795,698,511,651,734,046,637,018,624,393,292,175,950,407,889,067,173,501,923,
340,532,047,989,290,486,021,997,249,449,329,881,524,725,121,299,170,604,640,
284,543,629,456,218,257,922,904,927,253,335,561,546,567,524,245,314,930,261,
261,656,385,572,590,982,382,757,360,523,555,453,051,647,720,078,786,114,542,
333,407,210,741,172,319,580,294,715,360,324,799,690,282,256,077,590,772,293,
064,709,584,148,203,662,707,580,086,626,449,028,580,703,542,575,461,061,382,
644,117,964,759,880,826,428,992,975,854,907,082,163,839,167,452,887,590,821,
970,588,435,586,982,901,887,728,501,625,066,611,702,280,136,923,274,815,146,
477,403,433,841,413,857,584,087,321,494,519,245,976,852,438,080,551,382,158,
112,179,666,179,850,481,384,755,452,959,759,287,468,989,315,071,879,800,702,
737,620,294,534,564,543,607,542,609,467,812,279,561,674,756,996,508,997,922,
135,102,549,204,379,277,540,146,161,881,159,182,903,769,798,357,052,123,802,
799,246,387,370,879,628,541,062,401,414,856,710,757,501,670,638,780,912,188,
397,081,124,496,394,236,281,898,232,686,461,630,797,089,816,668,935,662,036,
153,665,586,743,114,660,935,841,898,575,063,146,072,822,006,459,733,406,825,
213,099,202,495,676,425,098,484,489,268,013,375,632,848,063,461,425,252,668,
801,892,488,213,295,887,902,277,190,827,900,012,856,713,600,970,079,836,236,
961,847,582,096,381,902,743,314,827,446,146,891,430,230,416,693,536,257,744,
923,979,013,615,731,699,420,677,788,662,413,977,687,869,499,617,308,775,004,
304,070,508,586,645,273,858,218,746,777,105,366,629,633,878,617,345,238,743,
314,547,048,824,844,541,461,811,310,822,130,158,591,246,464,920,557,780,084,
310,622,052,465,423,620,967,067,692,405,313,367,063,156,826,925,308,392,847,
117,779,167,478,508,784,482,869,880,311,568,214,184,489,561,243,785,022,557,
531,911,411,575,634,764,971,510,674,922,419,739,496,240,304,510,775,419,120,
691,905,086,764,520,798,203,436,665,970,405,479,029,979,629,650,467,217,859,
075,937,031,690,060,569,963,315,597,559,320,018,870,486,218,215,422,100,529,
085,876,025,220,803,496,597,710,561,262,178,856,354,464,296,259,845,867,131,
479,140,987,823,390,705,234,579,358,744,660,792,671,444,976,112,550,670,634,
234,188,028,698,189,745,687,458,258,679,225,708,817,121,057,056,808,106,360,
851,048,506,407,870,207,760,772,717,762,176,701,130,053,238,956,062,720,826,
499,441,411,817,405,694,229,198,055,050,738,392,096,281,475,382,034,893,727,
710,381,761,523,306,859,508,004,105,237,001,627,168,852,383,708,566,699,489,
463,316,489,792,338,962,367,619,174,755,512,107,774,944,394,442,697,608,799,
589,082,192,342,880,555,702,105,452,814,857,009,555,127,025,223,740,660,139,
669,615,734,671,609,543,516,027,977,428,287,655,588,539,511,059,338,124,656,
648,717,383,372,472,846,779,723,283,215,054,749,045,395,619,991,335,988,652,
926,228,439,291,635,820,384,098,433,730,131,264,736,589,109,699,426,134,758,
005,752,212,747,935,237,156,419,928,699,995,668,395,126,625,826,165,632,452,
073,441,351,679,154,440,175,660,445,726,917,178,371,952,137,503,165,432,647,
903,601,230,649,892,443,918,878,408,898,355,922,464,532,786,285,185,062,645,
095,378,516,136,342,434,751,731,426,080,922,984,438,413,415,653,829,987,019,
084,593,565,737,180,464,164,305,092,636,880,522,991,339,336,293,343,446,516,
418,952,375,238,866,764,819,035,512,926,031,881,828,481,226,771,011,734,393,
793,858,085,507,203,769,564,279,811,645,288,978,295,506,383,519,517,129,535,
119,358,705,428,399,239,452,016,102,527,157,419,168,535,795,712,133,760,224,
383,321,428,139,262,365,327,408,118,307,837,646,752,441,605,302,113,153,119,
291,619,798,967,175,753,757,434,549,380,203,147,694,351,100,668,674,276,611,
472,688,575,238,731,543,035,746,548,149,620,801,449,608,760,359,087,089,761,
473,360,544,846,592,488,595,645,082,720,300,846,784,868,589,468,191,625,342,
183,145,260,511,605,363,799,573,166,421,865,329,042,173,751,539,907,474,161,
865,862,879,446,025,154,430,968,691,198,837,802,056,154,168,414,738,589,533,
144,546,263,881,444,694,348,325,607,142,055,882,428,275,726,422,959,461,948,
720,758,118,981,263,148,101,063,289,758,994,943,019,723,881,618,398,108,356,
238,554,116,135,460,044,419,695,695,421,060,030,917,105,304,665,569,011,354,
367,462,847,625,344,108,585,000,890,923,066,210,525,559,802,028,472,935,873,
336,982,476,120,978,600,944,545,703,394,150,715,141,237,364,707,269,981,543,
285,444,126,513,610,396,504,042,194,092,561,261,885,991,220,285,680,330,825,
808,880,965,495,850,055,276,138,663,856,255,336,157,861,321,677,822,375,255,
572,347,570,180,960,315,041,211,509,737,809,130,658,474,646,713,970,701,522,
398,466,603,594,537,676,380,287,699,217,732,769,874,920,314,844,227,401,924,
960,228,403,198,097,091,547,704,390,395,795,801,540,065,228,864,664,042,529,
599,573,088,931,740,805,800,169,374,528,021,305,240,338,876,840,491,356,122,
552,680,083,550,920,819,429,593,471,451,478,146,917,271,228,906,271,299,824,
874,653,010,993,938,855,557,217,466,705,613,708,329,450,493,654,391,716,052,
165,813,171,500,818,199,238,796,141,688,732,037,396,161,983,524,840,354,767,
349,569,682,603,605,399,601,926,796,472,405,382,996,375,693,405,165,028,537,
903,279,072,515,195,245,842,750,979,925,692,125,996,623,902,679,635,365,705,
661,136,092,750,179,845,470,944,362,432,443,129,959,605,228,528,834,309,494,
981,002,497,334,580,375,429,219,345,343,176,416,714,393,979,318,793,098,563,
314,295,574,426,510,828,871,526,295,900,836,026,422,715,265,071,820,165,582,
695,798,304,560,992,340,142,456,515,841,888,087,694,275,737,283,541,111,385,
946,973,475,136,982,101,344,038,142,941,554,759,007,096,073,580,672,050,977,
184,401,454,864,615,927,163,586,598,788,398,735,493,755,217,801,708,899,464,
457,375,631,055,070,687,801,993,132,752,699,434,934,925,631,286,128,504,400,
975,106,692,053,986,161,962,026,489,194,282,374,062,793,938,662,345,036,208,
813,349,542,554,390,715,228,071,051,829,773,143,413,334,827,799,409,371,600,
123,830,340,567,636,647,908,939,946,475,985,985,731,684,577,370,367,776,432,
414,630,307,963,055,598,708,803,446,953,300,123,933,326,100,617,051,888,271,
199,933,376,043,523,797,672,841,305,941,457,195,797,781,421,978,393,309,639,
331,344,026,429,001,021,913,161,769,839,949,335,971,124,175,928,566,745,471,
121,159,295,222,137,015,877,442,097,566,734,477,552,928,941,813,166,570,123,
583,993,460,526,988,241,541,314,613,178,138,181,524,998,542,372,240,861,867,
978,345,309,048,334,166,469,581,212,166,173,743,153,119,513,965,356,397,270,
791,798,336,126,201,371,177,620,254,913,902,323,584,056,144,660,491,239,105,
350,170,083,800,861,429,790,946,396,738,664,474,605,439,856,975,920,440,960,
230,217,829,525,122,559,273,768,907,794,325,313,984,841,570,648,281,194,610,
000,426,081,273,613,468,140,928,026,880,676,142,803,405,503,088,619,975,003,
449,398,741,348,192,187,142,060,884,757,765,435,239,457,197,462,871,375,989,
521,312,630,925,678,810,131,085,496,168,152,022,282,064,080,718,670,013,593,
613,274,613,486,035,631,918,522,136,910,913,603,142,662,438,568,879,616,325,
421,533,224,309,615,923,928,517,353,109,830,505,759,266,051,163,616,456,075,
116,542,931,055,132,025,805,231,183,885,283,147,116,313,169,957,541,917,778,
714,235,968,802,022,675,787,904,791,682,835,663,227,382,741,672,889,582,549,
741,046,801,583,889,212,272,961,585,073,890,090,444,956,231,165,167,625,728,
400,441,652,775,358,968,647,778,010,028,235,447,126,590,902,295,006,357,819,
955,337,915,981,402,289,771,311,695,814,975,249,078,324,748,937,247,074,338,
453,116,306,826,582,284,023,932,447,580,863,006,468,207,076,885,586,992,457,
606,504,304,492,309,907,756,963,198,535,582,811,832,745,274,943,136,678,729,
433,996,774,690,411,989,309,318,704,573,856,228,281,338,054,443,282,052,207,
265,756,097,174,544,138,767,211,213,312,467,108,282,551,673,017,469,421,662,
927,166,939,525,165,754,713,630,578,517,472,359,479,449,503,782,728,252,854,
607,125,488,859,237,482,161,012,312,756,778,521,725,768,762,760,618,301,132,
120,489,482,644,385,547,715,546,123,549,643,978,662,644,929,399,797,964,835,
830,331,951,537,196,778,318,399,322,261,103,509,506,879,385,237,666,958,635,
464,470,140,097,341,804,356,021,247,439,781,565,881,608,667,415,476,125,397,
804,493,149,670,682,235,048,906,522,073,709,108,054,247,863,449,474,297,443,
014,431,609,174,100,898,777,445,786,060,322,131,923,590,514,190,543,837,679,
128,200,438,648,867,208,762,485,766,401,548,406,169,343,857,482,880,269,048,
232,611,478,312,437,412,616,026,875,854,957,410,706,974,152,518,670,580,431,
008,853,074,057,537,050,881,366,824,027,759,464,489,651,657,701,609,272,356,
142,663,149,928,983,093,336,769,769,294,356,478,800,941,003,615,733,118,595,
815,814,723,737,824,264,031,701,194,426,658,554,719,703,870,331,473,007,193,
755,720,850,178,232,196,343,471,067,058,691,776,909,222,114,861,597,917,771,
475,003,953,025,644,151,885,376,972,759,946,700,034,308,829,329,021,267,922,
119,364,898,153,481,682,757,226,827,453,049,796,601,869,689,425,830,602,212,
495,704,022,970,873,612,935,241,557,465,637,569,913,397,682,355,589,556,547,
856,226,901,204,692,317,242,353,434,720,260,277,396,123,047,765,957,695,302,
806,379,158,407,501,106,587,063,413,825,605,195,850,456,290,066,070,777,710,
779,131,444,155,640,376,377,230,834,778,765,337,365,350,922,174,611,580,988,
087,246,517,019,504,306,070,198,743,101,915,006,084,290,960,527,630,798,033,
731,946,631,546,402,192,983,859,510,770,360,686,863,146,060,411,783,686,749,
734,029,346,984,147,965,446,839,334,570,030,951,997,916,439,015,628,049,577,
144,956,175,470,725,507,159,838,225,932,348,905,337,865,467,717,046,721,472,
567,515,664,780,850,823,527,028,161,249,180,423,360,304,216,909,651,241,770,
836,115,241,062,115,435,212,259,133,505,681,587,313,125,212,958,699,676,364,
453,222,205,729,987,400,381,403,824,167,475,083,150,622,595,858,440,464,231,
961,655,489,916,796,304,170,599,332,197,402,363,252,603,236,927,551,238,468,
551,451,214,666,858,566,324,097,388,834,721,742,997,800,990,932,608,520,056,
224,245,051,927,537,638,313,705,436,267,355,836,685,280,945,574,630,880,984,
283,512,555,107,951,493,578,213,108,001,922,733,113,326,045,332,483,236,171,
916,068,376,500,677,708,923,184,369,783,722,903,398,286,922,509,413,135,675,
309,211,321,150,893,835,507,083,250,686,727,582,981,859,705,740,887,380,360,
875,249,385,628,018,552,851,906,382,114,639,986,564,058,281,455,304,984,652,
844,479,288,446,194,435,766,258,557,556,277,891,453,732,175,374,144,528,632,
793,187,968,248,166,608,861,546,342,892,859,834,496,183,988,756,827,367,150,
744,550,743,961,278,623,155,200,997,281,179,999,675,921,537,623,556,714,874,
630,386,064,807,690,399,143,171,997,948,896,850,551,413,307,085,808,958,292,
686,428,276,870,251,801,963,442,490,885,288,516,209,560,561,093,035,425,724,
112,611,866,782,838,979,231,536,748,166,102,352,865,233,161,930,999,236,497,
815,163,986,991,891,085,470,281,501,616,042,542,295,805,997,929,681,356,293,
673,575,547,432,667,274,427,095,765,946,667,100,497,377,628,598,046,639,763,
766,007,555,312,487,258,121,234,845,305,547,139,093,262,271,679,692,048,304,
205,992,900,120,571,779,722,335,091,399,456,900,300,115,348,997,017,921,348,
619,085,904,344,345,824,763,842,396,557,644,168,922,266,196,986,592,510,070,
792,205,079,197,462,171,623,628,447,677,617,930,793,667,069,412,459,571,437,
865,205,080,504,405,606,744,588,896,237,577,527,671,614,242,318,963,253,752,
130,219,173,258,523,846,624,071,357,045,010,504,060,974,999,712,882,296,901,
774,586,706,985,223,548,681,527,820,665,262,427,539,602,499,849,861,748,891,
447,288,803,162,753,629,881,991,281,543,397,910,408,447,395,250,338,190,597,
476,527,400,985,718,049,508,993,852,174,954,166,066,944,533,466,499,559,494,
881,990,528,123,600,064,310,891,120,339,507,787,273,777,886,675,529,051,410,
298,175,417,422,901,863,569,290,334,438,740,927,136,676,811,372,443,987,705,
247,501,997,107,124,735,926,791,334,973,642,105,997,811,906,755,953,393,645,
826,621,510,350,404,777,758,562,146,302,341,359,223,417,031,392,725,442,837,
880,493,194,027,424,776,516,252,950,971,482,776,478,606,981,320,847,060,940,
136,911,430,712,305,542,542,311,058,384,115,458,747,020,181,032,057,531,259,
811,068,763,132,439,847,833,326,695,731,808,152,695,012,023,310,435,157,244,
688,929,052,514,279,112,055,335,668,061,765,210,525,625,972,391,246,814,710,
825,629,848,556,348,990,292,219,328,575,386,568,359,458,547,530,360,253,004,
463,262,287,582,492,836,010,429,177,416,330,028,685,642,851,232,623,150,678,
035,019,985,620,558,644,820,421,428,431,505,691,363,776,691,535,503,307,195,
724,340,473,570,908,703,522,792,887,333,750,061,033,069,444,821,237,821,933,
897,710,747,166,163,879,280,650,283,856,150,330,925,489,499,746,708,438,069,
962,767,265,131,215,549,987,878,395,816,731,443,610,555,124,679,689,509,512,
786,928,748,246,982,102,115,802,176,382,709,864,345,272,295,649,287,701,012,
832,254,080,064,019,252,730,963,863,943,039,503,390,853,539,462,087,284,659,
008,031,032,605,270,105,011,042,701,975,875,280,807,405,290,647,198,512,955,
516,943,938,204,411,223,142,795,400,296,963,625,976,199,661,029,566,800,522,
520,414,987,529,634,360,067,345,262,778,814,811,795,721,782,523,269,312,723,
008,205,977,875,138,008,870,953,625,323,503,431,915,064,656,570,011,964,911,
644,216,099,169,542,461,811,802,412,805,723,193,045,098,795,071,858,659,709,
757,567,513,035,360,533,645,323,594,687,103,632,338,101,055,743,911,967,919,
009,591,381,125,475,409,113,212,693,296,670,264,710,016,139,155,869,756,621,
798,648,441,184,045,985,004,221,944,240,691,921,771,065,184,574,645,761,668,
386,406,637,320,992,037,365,157,705,401,320,339,547,527,757,734,713,051,943,
626,589,881,385,996,826,254,468,609,648,131,765,702,358,299,180,027,576,283,
942,092,190,177,251,214,471,831,591,305,302,781,458,614,810,124,195,875,622,
757,894,680,966,150,756,832,717,779,851,582,855,445,905,974,485,957,858,962,
146,619,454,815,268,391,296,729,209,523,316,353,077,737,073,006,037,274,149,
623,656,958,543,535,370,265,307,136,346,390,923,884,082,450,496,336,127,447,
591,556,384,005,054,642,243,734,037,274,398,176,036,012,585,159,012,183,598,
554,206,790,090,062,653,109,754,940,015,020,401,577,846,078,266,108,023,155,
832,776,099,069,252,754,443,968,771,458,054,415,306,070,046,407,150,601,290,
244,945,575,574,091,233,928,669,419,813,925,491,844,852,207,431,291,899,293,
588,738,017,779,525,774,564,582,409,760,610,377,191,956,078,212,383,359,758,
971,917,822,108,062,331,353,666,076,337,408,425,877,225,057,952,471,167,708,
524,211,809,558,048,525,882,477,059,146,257,293,754,474,872,781,445,405,287,
483,982,234,057,236,621,035,469,744,477,112,952,095,644,160,862,404,528,645,
851,872,772,263,957,473,596,422,878,704,985,962,287,829,034,220,850,270,319,
646,269,142,421,834,807,494,582,658,046,161,672,946,916,705,740,187,116,388,
987,763,871,037,513,044,549,709,601,938,224,952,386,360,363,681,237,351,342,
092,972,067,378,881,387,387,002,516,191,265,812,961,425,299,165,880,798,708,
974,919,119,880,460,376,131,690,269,348,069,078,140,027,302,265,730,125,310,
539,017,229,623,629,497,913,164,552,486,402,429,342,916,176,290,824,629,084,
800,192,890,355,913,579,536,026,141,225,601,315,664,491,367,713,165,157,953,
945,508,249,276,408,365,656,009,499,529,477,739,382,459,407,210,467,728,706,
003,389,053,674,425,717,085,210,158,597,794,505,347,579,391,605,166,535,428,
467,391,295,625,293,894,719,896,482,782,905,321,864,031,438,693,636,892,648,
036,146,033,402,131,271,201,697,515,105,386,096,284,124,697,080,367,661,071,
506,580,869,976,359,349,608,596,884,834,617,706,643,841,176,393,231,634,368,
502,634,862,464,035,153,056,095,252,023,951,791,560,223,639,334,620,604,479,
279,545,012,010,353,234,213,289,888,336,486,038,843,065,783,301,333,972,486,
053,773,186,411,054,813,737,708,899,204,965,540,902,579,189,336,486,009,871,
316,532,749,461,606,311,006,992,234,146,055,108,392,312,838,734,665,565,015,
235,979,433,817,403,976,003,880,508,698,205,786,527,284,982,707,518,802,729,
492,321,058,427,947,263,922,145,918,998,125,432,823,060,603,662,290,096,203,
188,150,222,224,574,902,674,910,710,950,159,656,847,923,516,845,922,551,715,
120,174,124,833,131,571,111,049,365,586,906,494,433,224,882,000,529,624,867,
241,275,429,333,493,525,229,475,224,912,708,658,438,947,843,563,856,047,271,
555,141,233,804,372,897,343,980,786,307,706,867,220,074,063,220,718,896,380,
858,278,011,865,150,350,099,707,074,776,004,914,397,891,793,233,886,088,785,
685,564,305,523,186,008,353,471,137,582,528,248,893,658,274,932,405,245,191,
102,867,012,674,919,877,954,156,017,534,240,857,633,814,784,755,514,630,327,
058,335,822,264,384,178,464,999,729,222,558,177,076,054,298,658,797,760,777,
840,815,994,868,351,159,112,265,945,235,731,023,057,876,933,169,830,418,274,
122,266,129,103,291,857,492,194,396,574,396,983,104,601,338,138,211,362,103,
463,390,313,583,290,889,024,759,114,128,166,158,644,493,171,464,414,264,779,
206,745,501,431,948,304,651,356,673,764,944,899,367,797,412,696,305,861,853,
674,830,949,217,487,563,661,808,169,488,623,291,213,579,820,740,049,546,641,
452,466,660,059,109,882,058,439,210,028,129,786,946,110,435,804,565,139,525,
414,473,348,712,050,899,681,489,340,915,647,771,698,216,155,886,909,909,413,
806,109,017,255,546,596,002,222,895,889,437,508,482,390,913,951,971,985,951,
034,697,033,776,506,037,453,203,597,758,698,078,170,141,436,770,741,194,882,
269,319,458,889,312,449,764,596,709,251,017,819,318,039,342,854,970,961,986,
778,317,250,137,052,568,916,558,903,433,572,145,280,814,572,587,923,823,922,
288,486,973,835,866,486,654,272,699,414,107,108,789,429,076,329,438,156,513,
029,874,009,594,292,478,714,894,362,266,110,777,637,843,868,551,927,854,112,
577,502,614,304,398,086,961,382,497,047,178,669,454,521,206,970,526,364,444,
817,317,697,398,912,649,983,897,539,390,578,852,060,040,734,993,869,341,911,
234,222,276,982,989,206,224,277,345,455,276,525,891,520,759,717,566,599,300,
724,499,160,371,186,032,264,520,977,585,117,606,150,819,756,099,686,961,087,
809,679,276,196,833,097,086,810,824,416,739,292,364,521,469,866,593,071,300,
320,206,859,319,552,384,724,878,702,518,002,916,536,291,314,612,892,919,400,
142,128,207,785,854,474,144,340,872,867,096,308,313,137,399,419,103,173,255,
983,288,090,452,896,762,503,060,393,152,250,985,521,318,815,732,756,703,207,
883,193,974,055,162,833,109,718,215,857,477,206,738,173,030,459,145,746,333,
490,097,996,822,539,829,291,981,324,506,811,167,894,800,398,536,333,273,702,
383,987,528,277,633,188,147,524,041,022,031,025,168,975,183,652,289,086,478,
515,728,147,405,309,738,338,091,867,949,663,522,004,016,931,706,831,138,269,
997,756,756,492,453,892,349,846,163,115,911,997,684,146,451,550,444,563,941,
223,782,075,068,425,772,748,993,350,078,573,198,796,408,781,540,867,232,411,
345,465,069,716,262,180,283,633,394,975,642,050,529,921,097,153,950,628,482,
447,249,639,221,189,068,369,564,554,310,656,496,215,811,883,092,993,656,928,
999,169,547,423,065,981,255,229,562,316,228,900,179,963,277,431,360,913,074,
874,427,319,846,019,569,785,959,207,249,046,158,815,842,215,227,725,704,847,
510,504,462,253,693,898,918,563,045,517,929,985,192,739,736,496,335,112,442,
918,052,627,357,385,405,460,311,778,513,330,747,333,515,448,290,634,682,537,
664,350,489,658,098,116,594,962,746,365,391,924,542,252,097,447,526,870,845,
008,458,763,616,602,277,495,845,557,734,517,039,013,165,400,087,049,749,504,
250,933,469,907,656,868,886,495,489,462,592,904,661,254,257,417,124,687,534,
733,151,611,702,497,117,856,619,293,987,619,530,792,561,185,340,873,729,900,
304,666,938,376,460,944,790,647,047,581,521,744,708,237,226,536,893,540,577,
142,759,546,777,929,250,352,899,559,190,402,804,658,239,084,208,799,126,996,
471,599,306,591,760,792,653,103,441,848,631,812,543,391,378,727,603,288,286,
263,128,068,515,585,546,218,921,816,782,872,738,935,240,018,542,609,675,305,
808,676,455,872,887,547,999,734,996,060,543,652,852,190,925,044,811,723,588,
102,794,759,179,947,750,582,884,535,720,772,633,870,279,309,427,180,431,740,
532,459,864,709,515,976,108,146,676,749,667,380,120,881,214,068,882,768,428,
617,040,306,179,798,334,770,835,689,855,753,943,991,967,807,575,694,411,243,
301,928,312,804,947,153,893,315,138,742,639,884,035,096,308,836,378,920,337,
750,823,594,444,712,068,269,418,210,612,409,760,237,168,018,177,362,181,805,
171,004,633,297,820,963,363,647,048,451,674,464,716,753,145,668,289,604,999,
956,474,088,143,306,725,136,211,679,183,677,840,998,041,337,547,103,520,776,
174,755,769,640,636,569,032,529,282,036,853,816,018,424,177,504,592,352,065,
569,983,202,829,536,756,129,948,769,002,859,206,948,310,342,087,849,122,453,
830,281,055,048,829,489,378,338,563,846,414,168,763,443,145,547,442,754,241,
937,992,832,091,355,383,264,320,391,244,164,639,225,114,543,458,176,030,653,
815,627,603,772,007,825,426,197,501,376,132,377,875,482,877,744,790,562,071,
729,100,344,815,382,904,145,682,592,059,798,377,197,079,891,502,510,593,144,
210,532,895,591,054,171,980,854,488,219,574,957,620,995,121,113,492,780,309,
216,126,667,125,974,657,765,897,889,548,095,153,545,110,780,260,958,200,277,
658,193,722,544,321,608,360,904,160,613,947,290,464,710,753,173,808,161,396,
323,908,991,615,380,670,564,313,515,337,037,203,465,171,436,389,923,733,987,
521,457,560,561,098,665,432,731,820,631,933,646,964,381,391,247,899,014,196,
543,360,002,090,896,684,052,760,182,054,691,128,308,880,424,800,916,656,056,
223,926,441,062,305,818,393,472,459,847,049,649,860,791,435,822,180,630,339,
033,528,605,516,494,636,081,216,107,817,141,954,602,423,449,732,335,873,019,
269,640,506,253,538,389,439,771,964,699,394,879,013,774,303,188,719,833,172,
558,899,969,300,885,485,883,115,906,600,201,782,027,518,263,393,684,830,127,
543,453,193,822,500,405,056,234,244,134,968,941,625,138,401,423,129,203,092,
697,711,320,527,540,228,808,289,359,934,851,276,320,499,039,742,028,324,147,
788,954,342,446,994,414,447,316,678,718,604,582,073,894,521,580,242,714,293,
305,372,290,473,154,030,614,045,442,631,527,319,963,868,078,769,681,485,514,
211,327,262,856,231,777,411,301,429,661,643,695,650,614,150,704,349,592,890,
973,793,400,233,309,110,326,099,209,681,635,431,120,375,764,594,335,187,343,
762,391,215,365,407,871,059,688,550,623,731,502,195,231,192,937,090,106,747,
415,937,319,644,079,956,787,685,342,430,142,175,245,754,966,313,400,531,555,
582,306,127,773,944,302,257,313,131,403,649,770,932,344,840,735,795,987,821,
325,617,341,519,578,387,445,859,966,717,303,609,577,467,881,091,719,462,148,
421,390,178,630,083,892,088,553,787,187,175,330,774,840,999,961,993,221,647,
259,187,406,928,423,578,501,832,057,506,011,496,420,436,678,041,046,510,850,
009,488,204,982,306,308,467,300,591,144,867,997,612,451,576,866,154,257,983,
010,671,387,729,008,942,984,958,946,596,338,577,014,429,102,216,007,672,017,
694,436,441,522,110,547,732,552,410,648,634,123,171,400,173,428,990,727,136,
051,751,667,619,181,923,483,019,961,160,123,572,192,560,934,806,379,592,534,
425,826,582,922,157,397,670,580,156,555,833,149,358,415,511,437,382,027,157,
067,017,873,924,045,539,388,104,917,660,021,719,722,068,641,857,950,678,429,
883,844,284,642,113,842,124,669,573,321,026,648,420,407,422,550,398,051,554,
772,294,053,406,887,055,868,592,877,451,366,143,965,893,783,731,739,856,390,
547,835,075,992,292,864,583,905,252,088,518,478,728,620,709,779,715,593,512,
899,541,867,808,227,284,508,004,781,685,251,907,262,155,021,529,508,861,331,
513,474,116,691,053,799,612,520,382,782,152,249,749,347,242,018,890,762,881,
755,904,235,586,906,631,036,218,445,718,311,727,252,651,616,721,366,847,080,
181,409,514,470,957,950,438,220,881,717,514,732,628,171,624,975,611,262,509,
643,947,658,566,366,390,147,874,979,300,651,819,078,796,981,912,386,433,709,
241,681,892,752,371,078,363,107,419,251,682,681,075,657,303,829,777,014,586,
865,190,831,693,598,565,212,725,739,111,447,532,599,634,710,462,912,295,089,
199,709,659,614,542,047,846,140,742,425,052,568,152,952,571,156,937,331,407,
863,166,327,593,245,431,933,768,005,591,023,904,116,671,436,192,684,996,381,
310,243,602,711,765,876,235,648,390,151,910,408,215,611,180,528,698,002,317,
255,078,817,309,030,385,527,319,682,982,140,507,905,096,379,432,112,522,383,
884,845,710,564,379,403,573,176,929,129,309,855,262,417,708,975,587,646,890,
589,667,065,021,345,392,958,610,562,794,318,382,089,897,864,105,964,601,837,
418,284,105,467,389,089,278,892,309,886,676,596,847,064,368,057,068,314,298,
556,063,840,921,219,972,382,084,564,977,543,404,055,646,639,987,212,874,227,
198,614,545,945,922,069,842,841,548,601,545,222,890,693,946,068,401,471,336,
240,514,991,041,002,506,021,950,736,231,430,188,693,386,631,132,342,633,555,
016,367,471,044,888,292,568,431,849,661,652,622,574,250,364,656,769,808,700,
623,553,913,396,048,016,674,879,166,770,476,823,353,815,413,395,234,834,415,
464,181,026,841,409,729,704,215,664,021,451,051,064,785,537,495,427,567,446,
227,925,003,732,641,384,851,190,707,683,989,953,707,136,912,555,189,449,666,
774,921,857,736,091,254,569,310,074,001,535,503,391,262,604,146,006,594,171,
544,301,950,892,646,444,505,908,816,668,328,178,803,443,868,425,920,925,429,
680,878,237,239,238,708,725,438,125,799,347,181,109,341,041,138,445,331,723,
381,592,219,316,549,249,959,527,253,532,602,135,568,775,799,621,600,314,410,
501,009,181,358,414,462,665,110,657,695,506,079,322,417,915,188,581,807,660,
760,568,348,073,653,669,840,824,669,644,122,151,938,700,277,382,015,844,970,
068,176,447,413,583,206,002,252,416,411,871,351,766,784,345,556,743,112,407,
931,831,288,003,733,022,633,360,840,766,290,202,274,339,288,589,118,659,272,
065,167,511,089,857,054,928,378,411,363,096,060,874,509,478,261,272,406,636,
859,951,354,278,636,965,159,147,956,837,902,080,207,548,709,900,674,952,075,
651,800,150,285,334,569,709,246,679,735,499,747,838,954,992,216,307,315,743,
978,508,778,033,044,242,807,355,599,612,758,184,913,241,172,801,124,167,083,
623,157,624,906,733,806,017,663,401,052,800,748,436,832,323,929,553,706,711,
823,872,679,601,604,621,875,994,808,310,302,310,186,676,160,210,625,989,677,
897,759,354,261,759,014,818,636,591,470,391,385,894,967,315,666,716,247,212,
444,944,785,038,728,095,914,561,517,918,770,286,733,097,695,418,917,312,548,
278,689,530,108,712,909,916,628,975,220,579,478,864,061,098,557,463,513,522,
955,890,436,751,956,044,343,736,812,914,008,057,657,345,703,279,795,260,499,
923,206,394,993,875,468,432,758,414,506,250,183,799,171,440,957,555,331,412,
454,577,237,940,371,798,182,141,272,567,455,416,687,882,801,835,077,169,981,
719,625,043,257,613,910,447,261,549,264,171,148,286,744,815,336,608,653,416,
167,093,958,777,927,195,876,769,602,300,607,679,904,446,742,896,948,819,387,
426,781,213,584,374,789,310,629,430,317,071,196,986,891,477,229,090,413,722,
124,281,685,681,430,769,152,567,759,865,677,859,157,290,761,395,197,076,416,
201,702,365,202,350,305,736,582,492,791,690,479,098,994,983,737,443,613,783,
854,799,772,234,693,831,141,489,366,740,053,490,996,864,152,385,394,950,365,
364,415,188,435,449,446,991,153,063,379,284,123,003,399,505,295,122,161,252,
483,207,468,696,734,096,713,585,806,954,227,998,251,145,004,189,794,173,737,
397,134,288,900,668,092,289,840,597,127,823,627,185,122,393,566,377,500,959,
951,707,281,845,818,390,767,342,689,777,123,262,051,008,080,639,185,373,798,
408,893,233,658,905,547,699,674,601,410,347,984,386,959,728,629,588,199,556,
748,673,839,653,807,530,184,977,131,114,357,632,198,029,264,796,737,379,593,
391,904,397,241,102,376,842,151,683,183,816,249,822,949,493,777,538,693,716,
971,836,108,695,118,701,364,277,881,723,436,978,918,543,326,299,076,310,147,
404,746,495,299,189,353,956,509,687,017,089,344,503,607,189,548,662,042,400,
710,396,611,757,795,229,418,041,061,504,004,869,966,062,853,473,596,868,595,
980,821,863,016,808,925,000,777,747,981,959,685,650,620,511,675,024,084,866,
331,439,868,849,692,337,884,267,995,751,996,794,403,499,878,791,170,885,578,
648,612,326,749,991,167,866,786,029,275,340,413,661,085,204,167,444,000,646,
531,153,545,845,103,952,235,876,950,189,973,430,285,964,822,749,388,428,560,
228,068,260,882,969,958,615,609,651,271,083,672,595,904,599,622,954,347,649,
351,969,404,042,307,609,337,377,964,759,022,529,999,687,678,202,867,471,803,
561,298,355,098,775,959,673,566,884,763,629,580,204,306,365,223,109,335,137,
270,853,154,841,870,144,911,147,659,967,779,483,672,081,129,828,509,683,208,
403,579,049,940,448,000,468,466,263,704,147,668,483,596,558,375,927,661,975,
898,950,761,225,148,008,147,118,637,442,227,208,420,074,880,490,039,906,558,
517,327,779,334,347,144,416,169,434,808,039,169,879,691,342,005,227,203,974,
130,506,633,207,883,646,640,399,141,011,624,283,024,712,572,915,086,231,045,
100,526,608,657,022,421,209,719,662,990,159,677,812,235,164,529,194,529,120,
711,604,770,987,741,662,330,682,779,905,031,127,787,059,011,737,796,635,316,
785,661,299,314,015,823,926,374,731,584,656,284,526,928,643,535,358,266,592,
304,546,967,151,002,737,822,499,861,750,738,561,642,441,981,497,390,083,044,
620,556,145,949,584,392,578,286,643,907,719,191,185,799,608,537,099,359,182,
308,711,070,511,485,561,496,574,247,952,878,768,042,201,413,063,764,346,613,
899,783,157,026,148,446,046,773,665,492,305,202,068,587,995,860,232,677,500,
748,584,437,121,181,400,384,410,682,592,498,219,510,837,869,878,534,593,421,
178,485,757,482,969,437,775,653,677,835,970,619,423,348,088,530,218,130,334,
801,324,423,672,924,895,134,919,408,050,118,363,863,561,081,365,654,359,739,
320,806,323,849,469,001,203,490,497,149,341,020,330,131,505,486,344,748,372,
000,325,375,220,077,866,823,255,771,856,945,707,248,885,731,683,482,954,385,
898,585,482,911,822,173,971,669,021,248,252,103,717,096,429,237,173,982,563,
634,700,417,042,880,075,272,147,210,291,893,562,122,343,455,605,709,442,702,
631,976,926,325,814,702,898,896,147,206,592,312,910,150,050,485,938,578,407,
095,217,640,878,931,057,076,988,488,375,728,344,674,346,477,736,036,836,592,
515,282,768,364,519,299,193,339,590,822,097,255,660,776,526,862,824,374,134,
704,802,408,310,082,421,030,248,243,179,700,131,721,833,626,782,706,504,800,
120,457,312,131,263,553,257,654,315,977,362,968,549,423,958,955,258,198,222,
552,445,209,882,344,825,308,708,534,472,467,817,375,727,335,156,817,500,926,
706,064,646,884,649,915,031,780,972,486,366,749,481,568,927,255,064,494,040,
312,972,613,618,508,465,076,824,258,188,115,491,537,044,476,109,091,611,674,
500,655,677,259,857,409,155,955,842,577,388,487,185,285,195,465,125,920,585,
139,045,106,359,611,453,964,687,505,116,885,167,805,972,387,465,224,348,398,
836,936,435,495,368,104,572,322,193,880,310,653,998,831,949,519,004,342,957,
240,428,121,676,304,107,068,601,079,203,206,123,185,037,967,928,041,524,476,
162,670,345,236,842,341,693,263,467,561,919,590,567,192,049,410,253,672,619,
783,382,959,275,772,834,912,300,915,633,041,359,250,363,268,035,240,583,371,
989,233,035,380,469,522,968,869,653,673,332,613,765,774,596,150,688,145,760,
698,142,809,672,807,844,825,034,640,029,910,032,571,678,409,643,958,624,674,
835,147,134,136,094,532,172,154,648,675,153,670,294,570,358,943,968,006,703,
540,870,879,755,167,771,466,565,884,706,249,490,486,289,354,940,526,250,954,
565,620,474,397,905,212,863,595,979,508,884,872,091,128,801,399,026,068,540,
784,329,176,085,324,043,577,302,563,889,296,583,258,907,264,002,139,326,308,
082,967,650,517,904,865,614,122,781,951,787,573,949,939,677,928,306,379,331,
252,642,865,862,986,941,787,632,726,887,451,067,039,808,204,166,750,106,413,
674,178,113,831,308,906,160,147,295,408,894,752,506,512,758,938,575,989,120,
008,887,146,026,847,769,896,950,207,312,395,252,351,193,443,317,728,281,235,
012,715,298,351,798,646,788,968,936,863,155,496,331,324,493,910,406,631,869,
256,728,109,250,591,193,922,740,370,483,859,808,565,193,960,929,754,863,033,
261,361,400,696,668,042,377,298,486,885,732,193,815,565,082,714,574,612,960,
856,344,116,305,541,631,105,474,961,138,287,193,397,997,169,021,250,128,239,
767,692,470,185,449,637,047,158,064,834,354,847,683,892,252,252,876,122,945,
396,727,717,232,920,561,107,579,442,299,015,463,363,552,685,506,179,157,726,
532,572,322,695,688,271,724,109,014,667,396,648,380,491,086,532,225,650,548,
534,438,955,171,514,417,040,048,156,192,134,135,963,604,641,995,237,833,940,
690,573,204,787,740,360,131,955,022,103,628,552,827,934,105,264,908,765,050,
183,241,037,538,174,962,188,545,478,435,365,226,613,916,714,645,285,958,713,
936,572,704,749,662,536,005,883,233,821,146,803,947,591,867,646,914,001,122,
430,691,645,958,772,192,536,683,084,982,354,229,439,258,465,116,091,428,458,
394,949,842,969,843,779,665,476,025,547,618,067,969,087,177,977,294,026,586,
011,775,046,589,483,006,483,007,356,224,034,113,850,694,331,841,656,151,896,
416,633,213,364,533,168,358,432,342,826,544,493,927,653,521,114,787,974,125,
541,272,997,977,837,661,239,574,900,908,847,102,269,725,219,969,513,025,050,
978,905,707,029,205,819,283,716,233,199,568,615,539,687,976,191,403,905,105,
005,291,811,503,283,300,968,336,288,769,120,697,897,005,595,252,959,774,000,
870,712,422,512,711,143,614,158,304,388,191,416,840,470,182,384,869,480,837,
549,016,136,288,258,180,196,250,110,838,080,558,967,742,413,783,136,197,977,
195,409,782,345,116,069,816,972,699,604,892,380,147,735,207,701,996,176,619,
858,622,324,555,451,790,999,212,653,653,446,857,121,685,403,971,287,035,615,
536,420,105,316,720,954,471,587,076,191,233,628,066,610,746,054,149,642,369,
010,252,383,409,787,085,312,056,836,033,911,070,403,664,642,694,734,663,772,
960,501,488,167,446,829,510,625,335,929,363,024,654,717,712,853,981,074,601,
151,254,664,835,282,411,828,784,393,898,692,305,863,960,161,234,551,267,179,
065,392,443,233,027,440,840,184,586,601,283,950,368,880,086,358,684,257,671,
421,133,548,988,809,982,936,470,891,095,166,481,619,292,380,777,393,852,840,
568,892,031,893,767,285,109,033,346,540,687,600,589,137,234,541,288,113,455,
940,818,915,005,510,428,123,891,764,214,354,381,508,195,398,037,138,221,193,
282,008,146,290,951,166,691,489,518,552,867,776,165,156,304,056,288,424,066,
051,344,309,101,471,302,880,779,170,295,054,016,564,140,269,759,842,244,320,
625,122,850,376,997,859,241,042,650,614,521,854,627,182,500,540,366,065,722,
841,102,662,665,206,801,706,680,068,083,044,717,496,298,075,838,968,651,223,
014,540,796,010,918,335,567,894,937,843,879,884,717,300,282,716,524,413,422,
630,670,074,948,569,891,104,234,691,068,078,798,453,945,910,720,943,190,134,
385,415,645,269,748,318,165,140,114,585,657,660,815,272,449,910,915,958,239,
555,875,323,349,888,413,462,757,552,250,246,953,768,752,806,624,036,427,497,
966,517,878,954,440,627,606,203,997,222,588,488,840,233,528,130,450,506,945,
749,074,041,494,087,376,535,554,981,465,886,245,856,331,825,084,875,587,823,
060,048,927,546,502,530,250,184,445,432,300,117,568,951,987,632,963,998,378,
755,772,958,903,020,772,437,042,606,032,810,873,974,594,309,486,163,994,319,
808,704,112,385,789,185,639,378,232,732,063,877,352,882,931,884,904,020,689,
702,129,049,527,826,553,830,945,795,406,381,021,015,898,409,923,864,274,960,
801,506,516,161,453,673,679,773,402,469,665,146,801,135,620,381,381,891,012,
993,879,149,748,678,578,658,866,427,608,438,481,677,792,120,986,710,077,512,
557,446,231,654,293,727,225,583,140,391,137,612,575,606,729,408,104,993,599,
343,970,501,347,332,537,047,824,613,012,756,707,909,443,205,774,186,755,970,
032,852,258,369,063,867,793,202,215,278,951,130,990,463,585,193,496,838,402,
597,509,503,822,042,905,346,087,920,250,275,230,936,021,637,298,030,255,972,
965,481,155,737,601,784,308,813,835,328,786,532,913,376,636,447,292,201,321,
288,236,762,410,010,266,226,195,454,675,516,105,319,165,990,184,385,572,202,
385,029,783,867,257,204,134,256,551,332,782,378,270,948,140,949,318,020,933,
442,023,906,367,863,046,508,558,410,434,561,408,193,126,017,490,443,224,703,
738,439,044,857,569,184,129,841,769,174,081,864,173,074,198,962,659,524,892,
266,398,770,199,684,775,311,920,315,295,226,172,549,095,933,230,716,891,238,
285,648,302,454,015,342,207,284,324,991,121,703,213,006,001,314,215,108,738,
754,560,588,946,577,397,398,415,316,748,500,863,893,976,183,658,899,984,967,
094,544,892,416,262,507,615,008,034,503,269,125,113,751,142,339,160,345,568,
915,854,750,789,745,543,766,196,277,683,798,734,021,638,727,259,131,258,420,
123,643,501,116,860,008,541,954,896,821,481,624,202,299,212,680,452,146,774,
177,256,125,128,332,764,755,953,791,647,859,913,517,171,461,848,415,063,274,
653,475,793,734,466,886,468,072,885,294,484,397,135,167,421,642,715,831,398,
692,401,626,814,676,102,962,774,961,602,267,718,968,399,557,715,894,289,679,
885,341,017,140,983,213,617,920,522,686,905,711,082,484,057,510,373,586,291,
938,817,875,888,254,461,458,473,012,381,419,978,385,184,714,281,619,595,451,
077,444,732,171,184,840,746,800,817,145,256,134,149,647,617,661,550,660,505,
188,219,666,614,119,768,110,931,925,645,571,440,092,401,221,233,601,131,488,
421,938,577,581,836,214,714,170,928,759,726,838,849,810,240,014,410,660,214,
511,248,812,588,786,400,046,607,317,758,579,383,230,129,368,523,906,156,196,
476,597,584,752,352,090,954,527,873,908,994,730,059,513,468,382,761,610,889,
547,086,064,542,980,202,675,874,645,499,676,871,878,763,332,588,223,245,312,
894,484,665,431,914,969,748,125,809,328,164,023,686,709,657,293,898,093,544,
489,657,164,775,251,401,482,432,052,568,050,205,539,889,430,852,771,368,505,
146,683,639,692,524,745,514,237,247,317,195,199,385,397,765,815,326,608,734,
718,011,570,532,836,377,030,174,752,598,206,479,989,255,239,785,068,617,035,
445,906,265,350,402,090,620,316,708,748,011,751,781,266,753,927,853,532,906,
025,693,374,153,672,216,086,406,391,641,263,401,573,583,354,476,560,086,572,
297,989,277,701,059,886,512,051,906,532,310,861,621,977,738,233,099,019,392,
235,342,106,733,121,055,755,323,137,652,403,256,005,777,119,678,168,778,316,
166,012,953,214,045,080,394,423,849,433,081,545,809,568,093,411,008,403,995,
256,788,593,658,190,863,673,660,776,301,216,006,742,516,797,649,816,082,468,
682,660,248,294,646,080,976,896,456,100,930,756,252,215,064,354,320,240,311,
966,366,130,288,416,834,556,789,693,178,425,723,232,970,832,597,545,980,840,
074,531,988,989,319,211,315,868,959,018,431,329,429,275,511,244,486,513,390,
491,989,051,949,794,789,432,804,402,328,084,736,639,696,107,343,503,745,797,
956,383,592,722,833,959,484,911,225,008,183,345,657,319,540,483,975,841,759,
317,356,088,661,150,381,939,038,886,996,910,448,663,448,503,548,580,579,899,
507,881,661,358,080,987,276,570,120,966,920,818,108,826,569,557,708,819,181,
559,762,602,968,636,863,023,878,274,451,199,496,743,737,131,791,873,300,108,
777,974,590,538,715,099,087,133,692,130,529,568,259,825,083,349,393,397,599,
549,348,407,486,137,318,966,498,962,442,827,358,073,575,389,354,720,231,058,
189,270,074,711,810,902,001,452,360,745,811,096,841,847,093,359,981,999,753,
312,765,734,539,734,843,386,703,096,812,367,110,435,080,101,513,177,035,344,
269,365,720,967,375,562,418,139,616,485,524,734,343,442,830,083,717,022,799,
636,836,259,111,467,997,614,965,056,954,072,979,898,729,084,456,844,778,247,
659,965,964,311,379,524,412,989,453,083,998,969,068,735,766,011,432,246,452,
990,792,623,758,669,316,839,286,622,116,990,482,264,611,867,156,827,268,313,
834,865,594,284,744,411,904,921,022,262,782,954,785,645,253,033,171,755,383,
079,428,100,804,744,476,100,898,786,765,799,251,037,375,781,395,688,360,534,
413,338,448,502,825,176,512,242,232,490,953,232,094,513,213,200,581,167,841,
664,921,253,331,118,744,455,525,769,601,835,957,841,607,592,020,166,749,004,
786,503,750,932,614,792,196,954,929,061,815,296,421,252,256,927,815,274,026,
188,016,486,981,898,169,560,072,963,288,979,805,135,450,211,498,508,282,273,
541,842,945,005,925,964,314,421,863,271,490,405,408,652,235,439,900,502,674,
289,283,623,074,077,711,450,220,601,898,151,088,106,317,338,221,190,036,531,
440,421,911,907,915,159,751,181,702,839,706,076,303,199,268,141,989,274,096,
609,944,933,114,856,880,056,487,780,287,830,222,840,554,518,337,322,425,221,
677,687,206,532,514,409,580,543,803,493,113,895,040,623,245,816,723,349,149,
939,372,956,149,820,281,348,544,936,607,490,616,850,468,814,245,321,104,664,
785,728,602,698,312,911,504,204,857,225,066,860,760,524,088,590,012,841,276,
398,019,124,388,453,730,515,131,000,053,185,661,190,041,773,425,918,731,459,
906,233,153,777,908,319,162,318,786,024,451,731,942,565,296,288,032,684,385,
307,671,857,341,605,631,661,419,254,060,050,229,900,056,424,254,116,615,988,
430,311,165,695,870,024,916,490,121,273,392,601,423,011,121,100,708,489,306,
597,858,777,831,823,104,572,238,126,184,769,025,904,712,970,943,793,935,607,
536,721,441,857,168,992,453,872,858,587,534,881,083,148,924,571,884,929,196,
055,928,683,742,828,489,939,491,180,249,132,685,810,824,981,960,841,285,742,
350,700,140,623,772,151,029,650,744,671,316,749,108,215,256,494,005,650,639,
825,130,117,678,918,080,761,054,028,556,826,488,750,565,645,936,989,595,637,
131,978,568,279,869,245,934,430,832,842,703,102,673,804,449,931,065,555,764,
259,244,133,589,529,809,178,232,968,231,048,204,361,678,231,325,419,760,305,
128,815,677,409,561,575,208,386,061,922,825,848,247,665,839,350,871,653,102,
292,731,517,715,130,752,155,790,819,199,621,256,511,208,000,014,572,038,463,
240,047,328,247,447,311,171,595,757,730,626,346,341,883,385,533,675,384,269,
919,697,841,845,169,680,467,136,770,179,291,698,701,464,561,255,240,765,958,
967,622,245,621,871,709,940,952,485,137,658,144,261,074,331,860,412,589,503,
537,717,717,364,491,051,688,879,056,029,297,525,213,443,725,348,944,099,187,
455,386,810,107,054,339,101,522,980,218,453,022,487,046,311,910,640,341,964,
950,557,940,723,926,521,153,782,915,939,762,908,744,220,739,820,562,907,643,
985,106,627,189,177,772,281,380,043,887,947,819,832,868,992,172,119,839,583,
553,694,595,602,364,089,459,775,515,789,547,346,315,339,454,502,965,221,208,
139,501,611,076,180,374,151,045,892,812,848,172,959,785,792,829,895,969,430,
501,912,711,889,085,822,428,558,528,467,918,939,440,026,088,850,860,501,965,
208,976,301,548,578,742,436,851,689,928,817,404,769,066,474,908,711,632,902,
268,102,245,035,100,062,459,838,587,958,581,538,148,645,571,829,928,694,896,
667,704,395,801,349,603,304,128,403,418,907,316,795,362,248,634,995,513,609,
261,623,633,087,479,744,215,065,669,845,542,331,103,993,808,648,605,732,917,
329,037,400,975,787,024,131,385,829,253,282,817,288,363,772,567,277,164,993,
236,753,159,545,466,480,379,598,837,783,913,867,777,360,016,677,302,650,734,
861,206,710,407,894,257,440,114,035,687,576,359,153,849,478,786,536,631,195,
297,080,070,966,732,561,643,867,981,189,107,865,883,676,597,777,285,172,073,
201,662,271,755,761,259,658,358,495,821,352,572,790,919,289,193,814,803,454,
611,654,057,733,673,424,948,261,373,190,616,408,180,758,401,233,901,960,337,
463,611,783,538,205,821,385,154,298,412,672,919,788,328,565,328,792,956,241,
591,806,695,603,658,488,406,855,709,024,310,717,673,341,090,084,472,848,512,
794,186,081,705,308,019,528,283,014,045,673,816,673,725,649,457,034,591,460,
455,294,153,471,481,878,864,654,668,477,797,782,831,259,631,062,021,794,988,
181,792,474,606,584,280,927,607,169,707,131,018,655,228,923,210,950,335,845,
063,437,011,253,596,309,830,327,085,839,025,883,530,648,321,588,837,655,427,
190,635,112,106,332,498,311,774,441,278,444,369,067,386,667,348,923,934,667,
315,968,487,053,937,860,181,116,499,825,245,084,072,662,282,598,106,183,999,
344,934,207,919,064,923,641,099,772,952,642,583,180,117,274,385,225,027,219,
196,755,541,305,450,378,789,960,305,638,768,694,151,602,847,373,925,341,815,
881,926,902,477,969,167,429,655,928,557,228,898,496,191,357,921,936,398,305,
189,301,619,352,697,918,682,246,195,452,300,124,639,714,542,540,233,019,130,
684,896,061,924,302,021,602,457,340,758,977,041,992,225,187,954,777,941,505,
350,936,906,414,558,621,067,252,902,864,374,969,924,716,287,127,865,437,903,
761,627,468,047,453,580,062,326,282,162,539,054,655,413,228,579,053,552,442,
269,116,141,423,875,497,126,935,320,246,292,199,127,397,870,258,650,453,278,
659,622,287,618,850,739,119,587,078,904,193,796,371,352,366,593,500,218,365,
548,059,726,425,798,118,069,185,907,167,605,014,697,820,994,169,932,451,533,
055,249,398,904,550,740,185,367,109,190,000,265,987,644,343,837,629,087,485,
766,747,409,494,804,447,404,194,833,374,926,229,841,667,052,021,222,796,634,
077,886,253,333,130,088,709,520,538,542,958,269,192,164,249,863,845,358,792,
945,321,191,416,668,357,592,027,239,563,604,501,778,787,369,421,332,257,402,
878,132,500,630,051,934,830,568,826,344,316,348,029,616,108,017,816,054,580,
265,060,436,134,602,541,286,685,607,994,563,474,805,001,075,838,838,454,428,
389,468,674,707,215,444,563,797,611,293,146,319,969,505,946,025,520,736,900,
154,637,266,532,561,931,062,314,481,228,225,372,056,478,568,609,764,351,807,
478,376,279,052,082,377,240,640,416,599,832,159,514,175,426,455,675,747,213,
654,862,465,776,440,453,453,748,495,947,671,843,381,116,079,509,083,527,437,
290,187,053,576,485,168,623,445,775,448,638,389,873,060,751,825,028,818,213,
174,555,731,611,153,977,721,717,076,773,348,884,366,279,401,123,454,694,704,
792,206,895,643,029,046,113,758,659,676,348,512,284,239,035,322,820,149,457,
543,281,712,630,056,056,383,176,760,756,688,996,084,969,349,703,169,350,521,
020,462,550,137,499,624,567,903,504,836,079,008,561,331,395,393,175,176,129,
171,258,436,298,607,648,994,993,096,727,328,141,933,552,867,977,421,981,876,
893,910,626,934,700,883,132,277,207,277,083,188,476,215,777,931,302,303,726,
537,243,755,960,879,165,788,573,341,286,311,412,050,208,480,929,064,120,968,
557,256,334,972,464,475,817,297,746,257,923,481,482,062,360,459,802,698,917,
133,809,878,866,675,980,388,105,230,092,890,078,689,007,961,126,558,490,750,
596,595,428,657,388,931,143,300,587,809,471,053,327,376,906,950,244,495,977,
928,669,796,766,961,770,463,578,966,279,710,339,534,522,972,276,969,379,440,
966,711,810,099,575,898,346,335,330,474,653,327,629,170,280,051,321,783,994,
935,764,340,863,791,983,523,270,706,274,420,178,238,438,196,866,929,308,697,
603,436,856,188,391,188,693,365,054,794,082,281,486,170,502,050,441,272,479,
512,430,772,813,617,465,036,988,215,546,056,422,510,718,607,738,636,431,089,
285,156,703,224,483,084,235,441,086,260,179,615,218,507,272,622,940,958,675,
207,560,348,932,202,181,989,944,895,435,991,667,602,679,479,192,732,327,293,
134,435,461,237,224,340,973,905,702,346,243,679,341,349,548,365,419,173,803,
072,625,576,705,196,186,372,539,940,590,130,354,903,507,644,074,006,815,617,
749,234,273,714,952,195,483,524,091,815,563,619,300,430,154,643,901,895,019,
948,986,645,131,256,120,560,525,712,826,407,133,790,421,638,520,640,207,481,
377,799,664,526,407,757,888,396,643,536,229,509,109,422,765,860,940,473,465,
345,938,598,212,871,379,282,780,261,682,802,732,471,859,568,607,733,864,907,
189,310,913,766,688,086,793,691,553,503,078,144,705,384,563,708,631,736,062,
354,015,504,310,565,872,947,619,779,547,229,486,461,719,462,742,956,360,508,
560,066,879,640,804,072,791,581,580,827,008,293,252,514,099,448,062,010,254,
706,715,939,294,302,243,256,163,991,096,754,279,681,599,730,403,448,125,479,
352,096,148,310,241,214,745,663,591,301,705,108,484,022,716,831,705,827,681,
228,113,345,910,736,270,312,782,698,859,991,477,948,183,054,419,373,019,427,
698,453,236,158,976,678,996,257,839,853,278,118,890,181,015,694,472,798,294,
686,675,131,281,403,712,566,597,759,264,566,350,160,564,731,749,581,853,697,
312,644,463,871,924,632,941,503,975,481,191,589,348,431,654,404,173,958,461,
375,953,249,807,389,341,617,143,400,267,786,566,514,061,601,063,765,005,818,
596,202,406,005,258,301,571,964,009,276,328,516,400,710,989,956,147,408,530,
059,561,042,201,043,294,542,531,364,690,118,982,011,574,478,637,859,030,081,
118,937,077,529,018,558,333,305,058,332,408,130,760,667,057,435,355,195,832,
700,148,631,464,141,197,824,373,624,890,821,515,594,736,351,190,233,343,805,
549,170,968,472,691,665,157,021,151,893,414,020,629,612,776,719,678,369,557,
259,568,369,745,335,734,396,974,587,101,938,461,851,346,531,955,184,133,577,
198,779,807,418,955,308,417,378,149,581,975,965,890,809,209,891,986,420,118,
965,269,502,050,479,262,296,209,186,646,549,244,543,952,620,798,324,510,272,
779,296,213,419,176,889,229,798,036,255,201,773,646,628,349,383,821,555,458,
084,052,735,924,634,351,087,060,571,875,586,417,825,761,469,715,617,635,976,
390,010,976,601,313,024,827,065,183,825,140,502,023,641,259,373,484,794,388,
546,761,868,538,294,512,109,005,321,607,952,403,796,188,021,878,687,906,500,
757,906,318,556,307,999,349,873,335,183,278,263,538,377,562,333,090,179,414,
548,942,083,759,001,201,509,011,104,885,844,050,890,272,231,014,940,537,996,
397,112,593,170,299,026,082,791,516,774,252,890,331,260,497,685,406,708,152,
327,094,483,729,537,493,217,215,586,064,672,260,571,866,222,724,332,017,701,
531,677,334,991,231,971,586,325,126,315,002,834,472,032,376,517,425,455,178,
082,307,891,290,057,036,854,246,785,906,914,978,433,579,875,081,615,063,135,
127,608,784,724,270,136,051,318,954,819,017,384,138,699,200,459,172,901,709,
521,555,303,192,600,158,412,333,250,890,059,844,128,419,081,818,043,191,273,
205,448,748,563,443,968,934,956,022,543,377,974,056,025,148,901,022,163,840,
682,142,872,792,356,507,593,685,461,318,218,257,897,048,626,361,045,363,271,
615,679,256,668,326,144,000,051,202,780,603,224,990,503,228,161,786,757,658,
841,929,911,092,435,753,794,958,804,847,230,356,609,975,282,534,059,013,231,
661,475,988,511,173,076,362,614,616,713,708,688,092,342,049,205,271,541,481,
413,768,924,884,749,572,393,708,199,836,905,364,722,546,004,134,181,569,868,
665,392,403,374,055,653,505,500,618,904,578,152,089,783,654,456,079,793,287,
652,966,842,209,958,999,006,414,843,815,695,470,651,967,068,825,170,886,420,
962,422,476,466,723,231,679,274,175,047,886,987,245,527,637,111,069,006,143,
967,272,727,032,326,165,195,303,940,724,753,259,706,082,383,604,169,351,397,
882,000,169,952,718,123,129,458,017,634,068,885,874,172,338,055,932,155,456,
600,389,146,669,990,695,799,408,957,406,841,388,483,261,428,313,429,377,150,
192,826,557,933,260,986,348,732,985,205,991,563,960,497,536,905,665,393,094,
022,642,444,191,325,240,741,070,151,878,821,281,980,085,307,661,390,848,356,
262,688,741,687,653,371,776,978,112,254,549,198,979,891,236,871,704,977,227,
440,359,579,389,188,856,692,134,296,824,909,602,505,290,907,731,935,238,541,
033,891,642,451,930,880,837,780,087,565,890,585,700,690,849,901,120,659,714,
080,125,517,916,230,155,423,820,780,834,385,100,860,616,950,435,232,028,242,
014,658,229,529,450,363,469,425,117,281,339,714,605,783,140,052,174,544,833,
266,969,683,108,981,938,308,727,222,928,528,630,517,447,680,382,225,738,205,
300,703,091,743,902,509,643,955,769,793,540,168,451,398,011,676,871,745,856,
586,487,581,455,879,654,609,388,899,557,878,770,368,171,260,108,735,190,693,
913,837,415,562,049,645,732,779,706,186,022,091,691,838,522,729,013,899,688,
340,756,399,960,421,424,987,828,062,544,759,372,267,172,686,608,156,341,084,
815,769,988,032,004,149,902,079,880,412,083,243,299,397,092,444,501,152,121,
058,990,344,606,036,561,739,925,342,830,714,061,339,159,811,250,372,090,908,
150,814,202,714,627,830,103,422,595,268,433,412,964,279,252,816,195,926,264,
344,319,026,252,358,608,411,279,512,800,432,841,950,313,913,348,465,629,764,
664,456,976,997,721,584,382,409,693,300,348,027,254,890,714,808,533,327,658,
057,405,324,613,562,281,906,373,414,809,070,949,200,084,248,739,872,106,260,
311,565,061,200,097,541,072,939,219,307,121,307,374,875,885,941,395,657,893,
503,078,050,326,541,259,975,447,537,513,561,988,591,570,620,041,901,128,576,
761,535,012,272,478,082,270,463,678,795,794,501,371,244,421,316,691,759,616,
418,146,060,143,940,420,792,650,119,474,112,208,936,771,393,976,160,256,765,
772,682,478,260,121,037,978,342,348,456,309,638,644,578,394,867,671,149,202,
302,368,774,175,048,188,512,814,610,725,852,442,861,945,980,843,696,047,799,
953,033,604,790,148,024,875,231,020,078,145,288,935,807,349,629,297,959,541,
301,554,231,595,949,982,688,905,552,480,104,706,308,322,161,461,875,634,957,
035,790,924,713,581,378,456,491,779,785,802,699,355,177,807,826,465,297,245,
768,451,248,093,841,368,621,498,462,939,519,974,561,752,974,213,809,347,881,
459,132,772,901,169,677,864,260,887,211,897,807,453,657,224,067,561,670,544,
721,688,204,635,024,848,691,161,118,947,108,958,092,140,515,884,393,123,217,
691,156,893,738,698,598,603,671,048,765,808,088,564,491,357,490,695,294,001,
667,657,125,381,856,440,898,905,940,583,432,931,081,939,162,332,719,220,224,
952,599,109,475,262,146,481,528,969,958,060,590,318,864,969,254,763,487,834,
627,184,607,912,348,852,173,580,069,077,014,644,538,519,749,173,740,267,273,
095,600,118,937,343,242,514,334,469,710,942,540,331,515,859,093,245,906,426,
461,397,314,047,524,109,410,950,003,964,489,085,872,730,798,396,275,681,065,
525,796,291,199,853,283,687,840,743,183,428,104,943,025,567,692,650,577,877,
256,760,604,083,466,756,736,307,150,240,731,077,348,199,083,309,450,552,987,
817,583,886,414,960,547,466,759,799,130,155,652,848,629,631,700,840,762,285,
182,030,684,039,331,709,529,970,146,555,796,828,185,689,704,568,175,925,901,
250,251,995,301,898,260,234,314,457,596,309,078,960,387,686,515,295,517,550,
352,400,159,944,269,929,050,142,258,083,214,780,021,565,169,642,450,504,167,
682,614,251,807,122,684,010,431,882,738,587,234,999,390,891,950,850,452,947,
082,893,001,087,562,233,035,476,662,136,746,019,341,529,873,472,030,291,129,
743,451,614,994,691,783,602,210,661,220,985,399,369,481,066,202,641,136,767,
081,362,106,692,485,017,700,590,004,510,542,574,918,015,154,089,250,013,182,
213,412,156,824,642,882,336,313,505,239,850,776,611,565,099,901,023,644,141,
779,518,465,614,224,749,348,182,405,972,183,122,083,538,677,909,972,751,979,
826,698,105,503,697,535,464,157,341,471,642,175,949,818,670,755,062,050,213,
703,238,595,936,872,919,997,728,826,837,255,054,630,005,460,867,203,734,388,
190,227,067,214,779,083,114,239,466,899,304,896,634,134,013,134,965,892,393,
941,660,997,969,958,442,983,430,409,374,699,676,376,358,014,385,706,794,006,
052,277,780,843,239,461,660,546,916,886,491,657,441,261,702,505,266,999,494,
687,176,160,389,907,585,332,416,617,073,093,249,968,583,282,990,748,302,911,
939,739,730,056,638,525,497,200,156,193,290,627,853,664,539,497,549,203,256,
364,169,378,846,201,705,736,797,293,947,795,913,507,205,332,428,806,269,279,
446,970,589,118,036,668,728,196,256,654,467,968,601,712,294,855,770,003,893,
031,033,911,402,917,331,179,168,540,017,297,362,060,497,212,432,670,345,363,
366,484,777,585,551,303,709,997,881,835,836,369,740,232,014,638,986,517,661,
331,172,140,295,697,717,768,480,431,702,275,068,444,109,789,613,003,967,252,
493,593,937,779,542,573,845,094,303,239,265,858,745,178,818,036,943,543,765,
416,597,022,068,243,303,365,254,479,998,616,975,984,039,519,136,451,507,391,
187,679,758,083,251,300,532,416,506,437,491,497,361,634,763,171,780,614,189,
127,746,519,515,545,696,313,497,613,957,137,795,188,477,314,155,921,227,276,
447,016,570,878,682,576,123,068,727,520,432,291,379,641,425,466,242,319,504,
270,263,009,204,488,631,476,268,049,922,113,760,476,852,713,733,362,976,446,
961,420,525,082,489,937,636,007,787,677,622,243,529,582,485,657,054,304,983,
966,290,508,843,822,783,791,469,011,221,063,759,627,032,639,803,979,860,977,
123,922,611,107,505,388,957,045,666,576,864,201,183,290,226,168,182,606,167,
240,902,080,621,672,480,926,308,080,500,662,872,411,660,831,336,225,356,973,
527,065,348,313,416,321,824,350,503,374,154,587,719,163,559,296,768,637,275,
779,764,759,456,955,840,451,774,950,611,508,828,702,121,180,464,510,365,589,
683,938,802,394,962,845,855,960,069,944,686,480,087,242,438,776,929,509,199,
583,007,470,984,177,459,312,990,692,837,594,366,313,487,728,536,003,446,491,
509,229,505,302,792,962,705,059,924,300,236,420,096,314,177,912,482,673,293,
548,306,895,066,476,567,285,419,524,587,170,239,079,762,367,208,494,459,091,
553,384,715,442,476,407,803,329,003,600,654,645,001,807,295,735,304,416,027,
034,261,106,853,117,835,490,624,920,403,736,963,436,440,359,007,965,741,472,
945,109,783,694,531,035,070,192,701,795,397,449,378,220,465,260,070,100,327,
004,733,727,555,751,643,024,773,727,000,013,475,101,436,207,081,482,326,215,
480,054,217,700,127,752,848,408,267,651,193,375,948,203,601,284,253,532,397,
666,191,126,892,838,886,553,113,276,593,433,515,702,068,286,240,774,002,787,
335,810,251,220,072,886,813,164,568,603,839,117,812,026,161,245,407,178,686,
678,571,778,598,882,662,181,075,437,211,201,578,111,420,024,643,837,707,830,
195,655,470,492,777,211,707,369,005,459,634,620,133,222,459,664,540,738,735,
145,899,056,289,671,335,073,610,592,338,998,268,255,971,696,564,567,564,639,
802,814,333,437,587,217,087,615,694,376,445,092,190,832,625,633,903,805,575,
751,330,364,999,400,959,368,951,362,542,954,337,643,362,041,920,660,811,163,
654,267,677,995,838,305,014,577,031,346,746,574,278,447,874,199,242,117,890,
336,147,849,844,060,729,129,842,409,921,970,575,256,631,680,550,674,607,887,
835,721,552,221,641,382,543,466,730,537,586,528,179,773,759,824,147,556,656,
856,393,266,535,341,911,868,272,227,247,785,044,045,825,820,369,936,792,040,
168,693,923,073,243,420,878,616,900,630,800,169,198,690,126,513,992,019,342,
825,096,808,804,168,346,944,429,147,907,252,736,778,844,566,986,293,971,934,
649,367,289,288,731,128,715,161,295,343,481,146,155,850,150,392,355,567,277,
684,390,146,591,548,641,698,333,643,405,341,600,281,438,123,159,297,569,978,
232,781,614,172,444,508,673,542,622,825,852,179,047,580,226,980,079,427,183,
759,665,070,774,441,278,203,718,923,747,735,341,058,468,628,857,611,402,629,
187,872,430,763,781,986,331,720,254,490,605,610,516,869,739,426,152,977,885,
206,457,866,203,137,209,241,611,563,434,531,183,886,205,517,171,280,077,622,
729,484,861,751,581,078,345,557,068,965,633,141,084,605,831,054,850,457,056,
422,442,621,952,853,517,515,713,244,854,143,535,905,241,650,077,836,769,382,
638,920,982,308,302,397,242,705,649,796,351,280,001,199,282,365,757,602,186,
681,470,112,413,327,957,584,637,550,490,357,624,106,839,423,461,431,642,285,
703,524,767,916,710,840,819,638,551,763,046,017,677,462,083,085,724,553,056,
560,632,060,131,617,366,329,614,959,862,353,543,496,168,806,813,863,723,766,
963,592,065,513,556,796,373,161,628,208,512,180,418,224,966,639,940,409,284,
379,397,051,813,389,514,480,399,598,863,657,748,324,575,617,866,678,169,541,
157,238,852,805,767,513,557,298,723,594,020,749,621,550,456,576,501,391,925,
516,131,118,406,525,145,337,510,923,000,685,387,313,200,061,709,495,133,837,
091,953,724,767,211,897,919,496,273,801,239,410,985,058,537,147,127,405,898,
640,898,126,052,757,343,081,739,733,583,375,070,041,689,621,266,245,533,312,
374,387,542,181,501,361,238,050,657,246,491,146,508,219,956,670,604,696,650,
538,404,988,306,933,302,929,948,847,508,317,422,893,649,882,985,802,021,633,
112,909,230,744,487,827,398,321,655,301,118,374,014,209,288,148,175,044,673,
594,144,145,192,600,562,667,195,021,447,569,712,517,631,775,156,411,873,573,
525,771,482,948,683,701,373,785,191,866,075,439,755,334,127,828,997,362,090,
427,774,284,724,327,575,833,861,067,751,993,202,537,449,927,513,144,304,211,
620,861,870,078,347,272,781,765,650,011,306,140,423,816,036,392,971,433,799,
670,629,226,307,051,214,783,836,122,846,560,244,068,155,911,868,086,692,067,
855,270,367,655,441,321,009,811,169,142,999,535,877,140,498,364,743,875,143,
070,154,099,321,260,800,478,567,253,306,040,558,596,037,563,679,487,386,325,
707,279,904,940,962,202,389,784,360,534,667,377,503,006,622,047,405,591,278,
508,319,062,991,035,315,895,595,298,019,673,382,764,217,965,682,474,320,661,
857,755,925,489,467,281,888,689,939,020,965,145,217,204,545,769,892,340,175,
859,025,434,161,955,830,225,151,751,712,311,756,322,077,058,394,167,663,918,
176,307,074,751,227,652,210,554,129,748,920,198,989,512,692,107,916,910,305,
455,142,839,914,377,794,624,448,714,700,262,576,041,705,391,853,628,982,358,
614,145,516,461,828,141,523,143,798,955,370,051,727,923,509,825,879,651,056,
836,703,508,228,386,829,635,221,249,284,271,108,704,040,155,809,189,519,806,
860,891,230,819,755,592,358,498,349,571,527,982,360,855,185,636,057,661,629,
182,262,549,738,905,474,606,138,880,022,401,246,471,095,769,604,017,467,246,
926,686,118,451,328,982,660,163,623,760,099,039,271,462,527,853,598,988,094,
610,685,776,408,521,962,118,259,981,397,775,477,191,510,645,027,098,789,259,
635,572,915,999,322,076,507,521,170,863,372,218,548,496,255,439,092,034,291,
676,863,593,538,672,611,025,315,751,442,191,602,434,977,615,371,667,640,027,
044,574,072,712,208,947,707,631,217,212,662,099,942,101,256,498,551,628,520,
742,986,314,795,594,937,440,766,828,304,073,269,786,000,052,010,174,222,622,
965,415,187,586,590,337,956,265,100,774,468,004,914,246,129,797,455,500,492,
148,818,197,398,149,470,602,807,254,960,473,752,244,293,127,894,657,477,570,
783,111,784,387,963,853,015,109,903,282,341,656,933,149,067,217,796,962,401,
211,625,421,451,470,693,737,394,277,510,262,269,408,261,312,442,952,035,123,
399,925,298,332,258,320,574,050,248,070,782,690,705,118,759,373,490,600,149,
436,270,321,569,237,229,350,324,779,624,185,763,781,046,741,731,414,132,504,
206,996,918,939,298,959,302,410,440,137,107,179,123,271,691,254,218,814,648,
599,832,945,738,794,322,139,592,550,447,326,479,916,003,295,912,771,128,116,
800,143,335,011,975,558,789,986,647,158,619,153,525,867,353,611,091,761,659,
153,579,213,626,861,535,743,486,950,782,586,421,582,927,872,160,359,742,787,
297,511,268,006,837,610,707,403,569,537,845,764,721,435,114,542,728,165,115,
857,179,313,507,034,013,113,788,528,604,427,115,197,661,737,187,559,069,671,
019,419,287,474,059,240,582,043,806,517,596,890,406,559,595,576,737,050,279,
795,583,751,999,907,359,770,532,615,990,858,472,070,470,522,389,972,845,442,
191,770,927,798,720,902,011,505,485,679,912,856,379,454,795,660,659,998,768,
240,915,162,715,967,683,293,221,994,197,131,001,654,507,807,684,915,626,111,
395,721,379,240,237,847,291,293,592,003,386,798,119,955,966,072,073,359,926,
977,134,443,036,021,210,424,910,363,214,685,066,482,797,746,507,489,719,990,
309,784,136,157,724,756,512,306,250,777,110,751,657,680,687,267,755,681,291,
171,759,049,649,302,791,524,465,150,436,758,075,996,070,315,817,161,579,035,
914,012,751,614,368,367,086,296,068,649,898,842,705,130,604,104,557,627,256,
383,604,056,650,786,143,035,741,466,231,426,680,386,344,095,505,167,108,664,
468,361,884,181,837,332,504,937,049,565,017,499,143,948,366,156,142,231,077,
763,387,853,663,757,132,551,395,723,620,711,022,836,101,886,374,701,996,877,
844,670,638,747,114,853,271,708,518,646,811,883,805,005,300,058,079,111,160,
347,281,980,187,529,203,060,445,930,211,640,300,536,189,936,791,626,542,172,
179,956,052,509,754,708,328,925,904,912,372,498,346,299,431,588,762,997,627,
369,779,474,117,534,726,057,859,277,491,939,493,498,152,998,331,572,194,868,
116,837,831,075,313,907,841,005,756,762,699,819,264,441,882,501,899,965,347,
481,141,910,945,377,212,410,721,647,279,553,392,258,644,924,206,171,834,274,
605,105,461,310,629,701,394,634,518,421,916,612,230,501,880,646,521,457,489,
015,359,635,452,648,487,582,048,834,450,709,516,815,991,753,634,079,310,809,
792,059,199,649,415,028,939,353,638,473,380,597,393,201,705,609,973,018,117,
403,817,411,472,606,350,659,866,563,028,102,489,774,368,263,070,939,252,615,
882,138,718,675,116,718,596,056,692,812,340,232,444,796,020,952,268,284,567,
866,085,437,107,529,436,820,491,523,517,585,167,671,834,234,787,567,831,454,
926,751,594,047,334,972,411,231,126,809,872,473,349,811,768,093,709,094,674,
813,978,606,912,341,122,254,633,055,180,843,160,185,240,168,634,732,346,804,
379,662,767,992,834,469,429,774,588,094,236,762,784,827,290,728,566,508,916,
477,361,533,896,740,116,512,122,148,022,656,241,236,878,203,777,089,647,427,
984,628,617,743,312,347,823,457,936,652,812,802,600,143,436,677,127,265,007,
009,860,976,227,264,563,432,235,400,259,108,787,858,602,359,912,774,112,321,
613,637,306,423,617,223,714,904,141,815,897,120,885,804,012,122,346,654,310,
044,622,641,668,972,242,500,884,960,704,479,328,548,918,915,546,256,405,659,
208,457,601,178,739,326,284,629,659,046,566,801,733,842,625,276,416,103,388,
233,310,844,604,779,414,396,890,102,458,533,422,625,849,661,257,883,267,350,
253,748,996,213,897,777,222,102,664,005,474,686,861,360,573,327,078,962,526,
005,408,042,300,162,716,093,401,991,431,414,533,856,834,467,171,571,551,345,
381,684,499,368,094,730,704,670,069,914,111,804,329,966,387,951,098,844,634,
451,278,451,383,177,149,985,646,748,839,804,855,839,927,631,978,319,428,819,
567,798,541,254,303,780,290,567,765,200,665,785,928,265,002,892,565,587,647,
017,552,301,957,014,998,100,562,099,568,262,859,500,104,569,153,824,608,314,
718,893,814,605,983,689,499,218,666,498,845,236,213,382,303,012,344,316,518,
357,204,717,658,803,764,938,558,605,540,713,341,909,530,229,632,685,779,654,
757,478,974,787,918,370,897,180,792,092,565,915,817,698,732,497,001,894,871,
606,434,859,892,170,235,591,102,582,280,582,932,540,647,121,424,035,394,307,
119,302,876,989,322,555,229,527,337,914,828,759,456,184,738,598,958,158,824,
165,793,498,405,791,922,673,383,458,576,743,732,922,324,884,738,789,446,840,
133,568,983,520,383,772,917,900,270,512,752,300,251,809,190,628,779,057,809,
101,173,806,681,723,927,688,140,518,063,140,328,739,371,786,271,771,345,769,
619,662,747,549,450,728,972,759,841,433,711,870,236,286,915,000,892,706,454,
771,512,297,356,731,100,226,438,413,517,283,214,344,792,510,382,041,046,482,
606,906,697,955,413,463,487,768,352,542,027,691,442,979,525,136,060,425,316,
258,369,749,294,027,922,213,022,877,222,636,970,896,914,011,850,427,487,914,
251,918,809,884,452,870,517,458,210,128,653,154,293,303,795,040,132,694,578,
027,821,092,510,903,509,738,854,912,061,265,618,278,560,434,128,215,300,388,
554,809,923,672,777,447,304,841,819,315,604,066,435,165,409,680,517,645,017,
004,592,019,305,448,486,191,228,399,684,621,002,700,512,606,700,090,695,500,
219,253,171,355,538,457,021,295,387,777,555,573,744,339,823,700,362,295,181,
730,551,684,073,776,199,147,994,740,540,421,230,257,916,091,641,976,882,657,
244,450,615,835,555,403,916,250,508,820,958,471,576,351,407,905,932,358,413,
168,214,460,635,704,247,273,214,949,753,232,364,798,684,389,291,205,788,713,
260,568,271,243,155,183,536,777,971,078,088,010,829,932,034,088,844,547,747,
906,960,252,242,401,767,669,202,824,080,037,986,387,740,925,774,758,533,843,
197,381,712,181,989,924,874,482,131,076,126,910,241,560,898,319,628,849,859,
940,176,526,868,105,626,298,260,978,795,460,563,849,676,565,519,291,199,117,
222,615,314,815,791,823,686,377,692,632,858,737,433,385,901,700,165,432,582,
788,997,774,258,293,109,845,040,977,405,408,016,381,773,253,401,222,857,687,
453,627,541,493,231,270,609,537,433,665,717,000,348,858,232,723,049,663,944,
398,804,330,301,734,434,740,430,233,060,452,688,930,412,779,095,490,011,118,
886,962,285,865,024,202,782,792,716,266,252,204,744,752,583,438,634,478,683,
056,458,544,868,909,092,323,876,859,376,334,463,732,593,306,490,519,168,779,
423,665,392,833,726,869,424,484,662,042,366,393,273,145,262,265,299,989,027,
166,253,335,910,558,846,878,541,080,098,990,419,408,539,956,103,627,944,105,
142,989,353,886,213,034,208,550,346,343,724,410,202,345,730,006,344,672,346,
632,716,511,778,861,566,458,818,584,913,574,203,160,235,051,714,783,204,253,
025,974,212,097,542,572,505,332,678,598,110,494,504,816,148,758,834,277,877,
182,421,614,472,638,370,081,873,058,696,426,064,220,247,658,233,208,555,593,
932,812,482,480,517,143,313,640,426,189,479,981,088,322,068,368,245,981,814,
741,492,053,468,379,992,638,448,144,947,515,581,615,785,842,008,907,544,204,
072,704,536,818,796,525,950,257,976,800,171,225,575,190,278,090,433,231,469,
033,044,915,261,511,763,736,963,428,185,505,515,396,983,227,759,840,747,464,
360,283,738,943,065,017,540,470,049,208,517,388,101,696,412,146,139,880,344,
382,961,720,425,700,373,973,646,646,048,948,504,600,557,105,358,838,801,798,
004,594,235,846,919,493,997,371,058,420,183,322,166,196,400,990,861,916,730,
589,715,047,330,790,451,709,744,522,713,208,138,486,398,888,230,257,892,202,
027,356,520,555,612,867,849,449,789,298,769,975,382,020,376,296,586,267,031,
898,072,077,748,889,724,479,636,075,184,047,291,020,850,480,066,444,231,101,
873,649,461,250,041,991,828,450,580,238,880,529,444,972,315,051,026,326,693,
310,790,133,299,946,655,029,848,715,034,442,023,518,094,888,695,786,578,467,
381,724,546,208,563,730,727,149,741,431,317,216,032,004,665,793,169,512,147,
263,209,073,065,130,080,068,968,776,000,245,299,469,005,349,738,687,123,048,
144,824,241,358,716,728,870,208,202,919,981,448,881,144,032,034,258,129,921,
437,768,613,774,037,322,574,573,783,355,187,676,822,945,292,198,024,303,718,
412,603,632,250,808,166,639,639,250,607,600,232,965,929,584,856,218,024,703,
163,764,732,965,100,106,025,814,232,403,233,701,734,428,755,644,233,411,629,
876,748,033,975,119,245,606,037,987,458,265,676,747,204,257,346,492,613,694,
234,758,371,100,384,987,660,735,288,200,535,832,893,072,503,718,099,386,184,
130,226,680,209,528,153,291,694,866,252,012,923,246,760,682,487,308,904,491,
804,344,220,986,030,127,627,887,759,882,428,657,448,335,230,659,001,540,520,
066,428,083,031,221,641,848,844,641,824,785,365,435,311,410,511,222,981,065,
471,579,894,643,977,604,934,815,399,203,857,209,458,903,877,330,113,411,117,
820,343,960,614,272,201,481,740,871,470,899,556,930,404,021,777,755,863,252,
958,632,468,277,725,120,835,919,965,551,931,400,297,945,576,812,915,967,174,
135,088,323,229,147,801,043,979,327,812,084,326,618,511,979,048,073,699,121,
621,719,884,366,558,471,505,076,865,045,811,579,792,921,798,291,171,617,307,
181,158,581,197,523,498,825,611,563,585,941,051,663,681,671,040,274,183,116,
298,102,163,132,243,356,566,042,900,555,405,542,021,669,591,198,414,329,134,
460,228,136,158,185,867,032,739,184,477,501,426,776,881,193,661,163,550,753,
958,133,357,825,060,525,063,595,068,147,544,254,930,037,958,143,390,098,044,
131,720,543,592,583,252,266,410,552,204,060,803,088,720,432,134,967,893,857,
139,085,450,639,672,078,996,174,427,778,292,071,131,291,967,971,011,808,807,
814,628,780,273,571,008,834,152,645,762,000,354,308,524,854,580,352,618,593,
056,316,105,015,362,287,810,184,484,463,786,427,926,055,546,853,096,906,820,
167,630,476,992,244,690,366,578,880,796,700,793,438,453,552,277,676,132,497,
363,306,121,565,307,969,598,773,132,175,204,111,177,422,593,941,924,044,947,
700,674,958,633,348,332,930,797,620,714,563,763,222,038,341,276,898,880,191,
649,457,740,632,247,707,574,726,894,071,120,631,045,071,569,131,896,019,577,
278,258,830,865,971,977,659,371,004,683,309,750,953,855,855,399,294,365,655,
076,181,639,681,521,288,613,025,432,385,576,350,684,926,040,786,763,457,270,
012,436,087,482,800,577,517,873,578,010,707,592,582,562,825,125,729,441,696,
862,239,356,434,082,615,219,413,804,987,139,654,445,449,335,561,682,613,097,
231,066,719,444,879,510,994,565,016,091,531,046,571,030,739,379,819,675,061,
603,131,576,042,809,503,927,460,562,395,645,883,916,297,335,632,749,056,728,
182,962,259,928,862,392,198,393,853,746,839,266,893,254,368,541,283,045,508,
271,199,481,975,613,460,093,932,511,871,363,289,312,947,641,324,290,508,611,
795,117,036,401,208,343,216,594,669,124,466,460,188,335,276,271,521,610,587,
412,015,227,355,067,223,029,831,938,404,113,454,223,741,814,676,463,733,853,
021,743,945,642,278,309,310,102,970,567,364,604,822,690,343,174,612,118,552,
405,433,837,496,365,928,432,421,324,884,126,204,751,752,104,919,711,766,985,
176,225,354,530,239,513,518,454,623,824,891,759,788,367,622,695,607,527,751,
424,337,344,412,657,715,742,950,696,004,118,851,537,072,756,722,667,690,682,
274,433,631,858,336,771,605,786,854,779,167,404,834,119,123,254,030,288,839,
053,777,214,769,052,247,440,374,920,747,995,567,539,132,233,007,439,756,054,
574,670,340,877,921,739,918,998,527,637,676,440,951,335,265,181,565,684,352,
429,374,776,794,193,523,850,859,603,305,182,376,539,702,205,754,625,487,555,
235,245,891,154,134,708,997,279,200,887,957,207,011,477,787,901,328,923,766,
267,409,737,280,165,944,891,855,879,548,763,175,169,231,156,783,442,075,415,
026,202,885,844,699,714,940,077,496,665,680,268,689,693,773,930,180,173,960,
960,968,779,844,912,015,554,773,580,343,115,056,698,042,255,550,407,244,550,
210,570,513,159,636,279,694,992,337,927,998,772,170,084,635,463,539,242,877,
735,129,031,126,814,229,653,145,679,689,691,161,583,776,869,632,001,616,389,
694,404,128,532,611,812,917,631,515,062,816,529,820,960,799,167,893,591,322,
749,429,418,386,845,337,059,466,085,139,329,466,279,131,639,220,391,181,574,
091,484,871,553,182,402,152,095,547,858,382,785,786,502,456,137,546,652,855,
794,067,044,778,399,539,320,873,083,020,023,617,897,888,873,284,672,962,578,
493,680,414,547,583,225,494,237,049,066,831,551,183,649,914,264,810,042,388,
229,040,190,743,403,181,289,817,792,270,885,143,009,909,996,303,082,000,541,
188,736,210,995,713,090,818,785,329,083,360,601,850,763,980,613,918,121,085,
673,479,408,299,837,751,587,317,041,172,937,697,302,362,243,363,860,387,625,
553,802,220,866,985,389,732,325,766,498,112,874,867,238,326,315,581,671,844,
574,964,502,372,338,119,362,186,191,208,147,283,153,007,072,385,285,425,300,
714,380,387,834,253,993,633,337,001,728,319,366,826,311,461,719,751,373,862,
421,059,199,232,491,988,475,764,812,703,992,100,038,311,785,635,666,158,396,
274,625,003,362,113,106,747,415,242,309,518,656,186,901,844,390,524,535,546,
218,351,548,337,117,330,129,414,607,560,220,705,264,358,206,641,195,244,740,
909,399,730,221,083,800,360,861,775,741,982,257,690,105,027,049,308,939,725,
373,892,013,307,322,193,904,949,098,121,704,774,962,698,078,164,350,756,259,
978,756,427,499,704,526,881,021,823,272,801,362,739,695,801,668,988,069,895,
981,120,894,696,032,122,708,206,333,612,031,768,321,554,072,299,648,768,780,
906,887,787,929,004,098,844,829,472,665,547,517,572,292,720,432,490,203,888,
881,351,279,505,419,219,283,607,598,038,893,119,556,286,925,776,286,134,470,
305,162,879,004,563,436,295,041,995,247,480,363,399,878,808,642,550,803,727,
488,902,497,897,087,967,071,138,076,496,445,880,576,827,093,303,532,046,762,
101,286,972,721,633,938,832,922,074,879,172,890,648,498,416,423,262,397,871,
210,713,048,619,037,274,629,165,853,850,217,036,719,951,970,901,606,308,694,
465,150,797,019,576,405,567,075,368,240,593,053,185,596,208,089,284,546,283,
897,391,707,436,486,973,325,467,480,048,918,569,872,639,136,236,791,927,104,
222,365,239,981,489,776,782,922,338,823,572,508,697,211,374,058,908,288,449,
333,240,422,284,492,037,136,355,327,448,428,458,704,670,554,025,514,714,032,
346,018,916,480,909,381,190,864,574,818,585,014,848,421,049,964,588,837,238,
128,209,384,898,132,672,733,729,685,279,775,513,230,665,209,175,430,837,973,
876,924,359,779,074,649,081,177,148,347,822,365,335,192,721,957,561,404,496,
136,054,103,052,177,711,205,679,394,733,343,417,298,097,165,644,259,468,413,
463,939,134,083,170,041,774,900,592,051,086,695,561,478,616,812,929,211,952,
172,846,521,354,980,514,470,669,255,237,552,134,404,314,740,896,753,271,756,
124,819,861,844,520,374,600,632,373,926,243,832,474,048,985,371,549,972,026,
629,173,087,693,043,891,520,312,557,230,952,278,148,363,078,352,899,015,377,
566,376,264,890,329,720,634,713,917,354,655,676,673,554,074,860,580,503,412,
168,530,564,390,604,606,575,915,877,170,832,392,450,747,022,999,014,689,708,
615,214,961,321,714,459,449,006,587,513,217,178,594,021,836,416,850,254,062,
142,483,232,589,320,305,033,660,722,697,436,008,735,602,728,194,420,338,262,
863,085,251,000,671,410,565,356,127,820,619,522,482,365,198,289,362,486,602,
766,294,615,489,858,166,224,350,165,807,915,387,724,063,714,185,569,622,982,
675,678,021,231,127,784,451,708,784,268,484,030,560,101,071,014,939,562,968,
051,211,660,454,449,453,318,252,098,349,630,191,486,186,399,277,686,601,678,
584,129,866,393,942,213,141,461,840,316,128,480,793,539,832,822,637,900,737,
306,856,927,280,527,664,977,201,105,209,819,346,471,324,400,272,597,825,263,
466,021,072,497,301,662,027,745,375,206,224,006,732,139,748,925,139,452,121,
871,992,126,003,008,908,991,963,925,248,575,420,417,016,412,574,806,712,872,
042,517,151,794,419,568,269,632,025,502,718,971,254,421,915,145,549,581,383,
297,750,801,641,639,025,632,028,995,022,658,928,986,450,745,919,994,550,684,
181,259,134,998,744,072,671,921,851,370,970,179,372,672,848,729,725,778,688,
640,810,258,295,310,551,747,463,490,166,227,210,959,696,141,183,110,332,761,
024,748,623,829,042,802,591,005,100,222,527,412,767,166,699,396,081,550,406,
538,940,263,243,147,690,132,369,869,211,254,869,458,815,884,302,118,230,317,
333,297,186,403,127,616,372,692,312,009,117,832,460,169,374,535,359,035,038,
353,436,366,789,578,204,919,621,745,175,589,572,613,779,731,315,443,246,170,
259,951,427,919,782,737,122,420,575,834,977,601,403,813,422,235,866,509,985,
296,186,905,275,838,143,125,721,484,292,000,369,584,423,832,509,754,826,078,
346,302,844,384,726,881,905,175,348,479,014,884,677,321,082,993,298,864,165,
261,511,794,144,800,318,030,380,812,738,717,845,034,995,285,308,452,788,109,
415,532,774,956,552,030,557,420,199,031,584,988,985,601,155,179,007,421,440,
503,624,555,454,471,285,408,303,010,736,598,534,312,975,355,133,739,942,003,
637,560,259,692,034,366,437,928,501,855,397,645,398,659,861,885,670,254,168,
579,131,747,396,514,180,166,654,623,741,000,666,926,324,034,898,072,992,466,
495,063,465,059,501,304,176,695,132,883,432,721,330,367,714,742,956,256,769,
712,691,503,305,194,750,057,187,383,282,888,494,583,119,420,437,687,378,950,
889,836,112,782,326,772,835,501,004,346,054,340,275,426,509,754,099,657,752,
552,724,897,825,365,275,052,581,446,354,543,205,532,725,196,601,757,199,261,
139,961,219,464,645,402,600,111,379,831,866,459,242,525,640,228,514,363,190,
158,976,199,261,946,637,360,391,816,555,184,404,169,797,070,111,543,062,789,
586,330,073,420,442,694,826,452,453,646,905,930,919,816,705,152,676,872,754,
477,991,238,904,360,697,547,370,302,314,186,782,798,001,776,037,290,589,359,
752,169,740,754,457,504,847,144,966,136,972,519,490,387,198,256,251,011,515,
382,388,738,667,273,203,195,918,222,939,991,097,219,034,795,423,848,199,377,
244,668,263,023,461,817,360,508,229,027,696,151,739,933,973,378,737,574,943,
167,990,514,697,047,071,686,614,163,713,096,583,027,159,628,127,082,653,005,
876,599,005,358,734,618,205,558,521,436,312,768,551,383,277,667,660,830,077,
339,356,609,357,485,243,104,634,601,150,653,783,911,942,795,728,292,045,876,
729,834,939,283,541,891,624,894,245,879,393,423,083,812,636,716,792,695,540,
650,735,344,749,298,731,553,506,196,042,260,265,788,492,436,415,903,544,237,
364,952,922,082,578,724,856,743,513,414,041,013,281,961,694,739,156,960,703,
000,733,977,485,292,025,670,789,400,497,283,141,262,200,285,396,724,761,086,
026,596,431,239,668,672,484,169,395,233,948,682,109,521,732,467,876,393,710,
136,003,537,495,151,853,366,977,246,823,943,417,888,647,220,082,825,094,918,
499,628,264,849,014,647,063,771,235,597,058,089,776,905,547,453,206,591,379,
879,613,823,627,624,983,407,581,024,196,544,609,565,761,010,244,033,666,818,
234,930,029,075,918,626,813,680,100,161,699,159,110,554,408,858,752,449,135,
491,893,443,008,113,936,520,930,945,085,418,931,895,662,645,548,863,395,072,
860,502,159,052,345,557,493,952,104,957,499,546,628,563,616,242,913,286,416,
839,021,512,840,825,225,847,288,141,999,725,915,146,462,748,708,598,825,089,
512,436,463,720,109,015,547,714,291,092,048,758,404,490,541,901,787,965,817,
331,980,194,676,629,651,749,358,446,967,095,746,692,595,389,092,202,754,283,
854,697,114,753,874,717,873,700,291,475,371,673,331,485,495,571,361,042,665,
294,266,736,046,012,473,926,012,762,783,266,367,423,806,058,659,284,770,856,
528,191,357,372,140,902,700,974,047,027,196,390,481,655,988,381,040,183,050,
941,402,448,018,115,282,426,725,289,728,737,318,069,054,579,776,016,541,844,
656,381,330,278,892,973,856,688,614,074,247,521,345,168,650,821,380,880,762,
480,758,907,553,236,549,559,128,956,317,967,041,962,207,421,658,298,776,484,
134,162,850,202,118,536,125,043,486,076,231,928,986,154,882,666,026,180,502,
313,452,031,143,669,672,543,128,356,778,888,199,029,513,870,284,591,815,925,
297,025,461,019,864,974,400,495,463,141,900,686,139,871,222,971,093,610,738,
114,653,548,080,605,821,648,450,521,853,853,096,710,380,480,836,287,161,086,
046,345,284,918,201,428,782,696,591,546,158,557,420,548,457,595,326,109,434,
644,835,366,457,659,595,916,287,739,355,577,493,090,225,171,160,248,976,153,
727,011,365,988,224,684,456,888,616,420,254,448,809,219,167,157,309,380,689,
773,290,842,012,416,355,580,310,648,228,151,403,546,231,368,885,217,955,373,
802,010,693,709,647,722,829,908,063,595,547,651,445,408,924,916,418,881,185,
987,335,044,425,852,019,344,440,305,801,892,551,052,432,130,543,571,778,636,
544,819,729,850,823,818,991,127,082,634,353,208,877,104,645,633,177,928,694,
141,154,998,223,146,660,603,247,752,623,407,726,023,993,808,580,592,723,182,
345,825,557,185,013,543,852,026,747,849,938,345,691,861,699,263,322,473,519,
003,238,414,889,558,227,490,063,489,523,993,909,948,117,822,961,394,100,876,
461,351,683,446,190,065,180,629,384,068,188,818,399,770,918,099,180,169,329,
710,804,132,427,552,795,284,696,619,548,594,290,630,605,771,755,024,907,454,
674,858,597,023,440,784,001,011,440,409,978,797,552,187,314,934,336,173,667,
415,879,881,402,496,748,210,826,135,343,208,003,622,754,013,632,415,552,916,
118,549,583,341,907,779,231,591,669,971,025,573,900,004,631,503,152,741,510,
346,408,079,309,622,057,054,109,972,430,487,340,122,429,592,978,578,871,195,
171,273,038,665,188,989,079,838,323,166,102,291,411,462,785,271,098,125,760,
857,558,768,862,597,451,220,008,822,220,640,459,563,940,923,071,788,293,427,
842,831,356,443,859,067,162,294,051,921,381,676,585,907,329,304,605,843,910,
847,321,362,766,224,142,999,787,662,616,692,224,230,413,745,410,134,341,432,
908,221,382,908,499,462,310,938,515,276,288,334,577,218,986,623,677,695,227,
959,016,967,109,376,053,147,072,562,212,958,780,183,113,791,714,369,110,117,
701,793,480,386,828,208,334,831,912,604,865,387,651,129,399,304,515,569,365,
612,055,717,618,051,408,403,965,615,711,045,459,574,522,505,249,814,901,775,
753,635,326,817,146,905,601,364,350,263,268,602,026,033,229,749,457,373,919,
945,117,400,538,406,620,519,002,646,453,287,416,789,981,794,350,657,548,165,
668,040,086,376,515,694,868,932,220,536,021,769,851,508,222,051,975,305,464,
673,632,702,502,939,593,814,057,922,072,777,939,248,518,451,480,059,623,035,
008,997,375,738,498,253,649,213,587,799,674,083,781,327,990,280,541,328,653,
750,994,747,875,923,146,783,575,020,935,171,030,369,070,914,946,424,422,740,
692,416,711,879,442,546,763,382,600,661,726,956,763,165,901,355,121,632,504,
096,062,095,281,190,260,105,088,561,717,663,985,313,159,778,627,548,363,085,
139,862,284,434,621,014,037,604,449,979,234,307,335,696,518,864,010,211,244,
736,034,648,207,167,700,337,720,816,390,613,457,266,863,795,336,268,138,255,
298,211,536,375,184,529,487,527,020,302,826,862,906,419,364,739,142,207,194,
420,409,731,486,323,471,747,388,414,083,191,297,718,821,952,910,390,491,430,
911,752,053,023,773,896,906,693,128,553,762,512,146,858,933,755,468,507,127,
256,325,450,965,517,229,036,189,421,426,017,754,887,438,861,752,942,647,874,
486,583,406,271,061,285,775,895,008,083,750,029,973,257,508,451,842,585,316,
274,984,190,000,145,667,015,081,713,921,362,129,645,854,649,598,023,831,320,
184,120,778,759,640,572,012,812,766,371,838,891,769,773,712,274,163,266,164,
499,334,345,179,874,345,742,865,902,863,078,262,264,020,292,583,686,523,118,
436,425,683,848,387,273,157,778,802,042,697,893,012,585,072,680,623,051,508,
660,105,350,234,678,868,299,740,670,984,692,799,260,684,281,434,438,492,332,
308,281,418,917,567,591,911,115,387,062,203,441,157,784,526,032,766,243,828,
371,167,641,074,495,662,289,394,607,879,248,109,603,997,192,943,727,369,405,
305,188,339,534,958,526,301,489,505,462,643,303,173,212,492,277,783,198,158,
024,778,580,159,988,713,674,075,999,877,432,086,673,713,969,872,670,606,407,
297,368,503,381,297,769,742,000,181,482,350,582,131,053,923,408,890,949,513,
977,218,135,535,518,525,082,517,473,444,100,620,953,869,976,670,108,681,818,
856,044,847,224,368,457,965,868,950,834,732,746,131,965,161,985,262,210,387,
441,301,101,358,612,295,644,025,220,873,537,381,708,336,630,779,816,123,490,
398,230,775,499,567,392,431,077,923,458,738,966,945,836,661,175,415,385,766,
141,425,962,420,668,083,122,898,841,273,987,412,676,869,787,947,406,292,654,
883,865,019,277,138,917,391,479,485,525,403,341,513,097,633,682,355,330,666,
952,552,413,535,049,219,429,995,224,516,073,900,061,365,788,845,692,743,112,
045,451,715,165,967,087,046,478,688,139,929,058,677,447,320,951,051,353,365,
420,501,310,834,585,461,662,156,744,436,326,626,152,717,182,205,968,390,948,
645,968,884,278,387,292,496,488,110,833,520,747,986,812,132,844,783,570,618,
255,229,936,417,853,056,665,224,816,019,381,664,240,348,862,295,307,072,811,
561,407,926,358,135,582,694,413,250,179,609,781,579,540,673,699,249,001,278,
580,954,343,891,020,358,527,671,282,265,809,626,385,589,349,025,322,501,595,
535,669,276,945,063,126,000,373,249,655,348,921,168,196,575,445,954,997,965,
842,526,142,121,824,861,548,958,907,225,548,486,898,827,977,275,877,542,095,
800,396,992,413,703,254,593,685,651,461,670,529,256,206,415,963,991,704,564,
722,541,403,962,596,997,619,048,337,363,112,998,695,081,095,537,831,446,138,
205,330,015,776,242,397,529,054,169,134,711,925,133,531,370,334,193,438,913,
429,439,961,894,400,178,003,075,195,643,216,249,937,911,864,131,103,590,041,
835,355,742,472,403,212,792,420,397,711,291,817,019,946,720,464,815,814,639,
754,905,607,015,415,058,937,231,255,274,155,806,778,333,405,892,845,785,985,
076,019,549,933,090,029,496,637,099,151,311,554,168,785,975,597,078,610,301,
248,304,394,623,209,744,737,512,383,119,089,051,766,528,809,878,481,379,363,
074,653,455,071,088,158,715,317,478,397,229,657,965,156,538,794,480,717,385,
221,749,453,250,623,558,390,916,265,076,113,392,812,940,421,498,523,246,531,
363,657,340,786,269,443,597,954,152,189,631,777,098,902,816,627,768,895,367,
051,630,613,051,181,400,058,482,650,696,148,769,660,508,465,266,971,836,422,
868,932,883,975,475,025,812,988,386,172,159,606,995,730,046,976,770,678,406,
771,805,141,964,066,434,695,547,365,775,047,167,618,189,483,933,085,579,220,
697,461,248,712,206,791,036,324,606,235,932,134,837,345,548,676,212,276,288,
695,130,257,409,220,346,395,967,696,821,706,162,810,975,289,517,697,013,515,
156,508,201,036,245,596,841,628,442,463,314,791,468,507,366,592,715,295,970,
467,123,316,035,346,182,605,171,813,223,625,596,453,218,989,411,631,046,411,
013,883,849,090,560,305,178,709,108,661,493,440,868,011,490,749,413,949,353,
622,522,395,961,979,663,171,404,021,980,059,196,609,581,812,937,816,132,791,
130,444,471,754,791,510,034,604,738,720,927,445,523,299,129,170,059,004,983,
574,268,455,305,412,459,396,748,058,785,124,162,943,278,249,430,312,900,253,
766,921,649,109,503,640,985,212,640,860,012,322,063,139,929,605,070,536,929,
889,962,200,102,288,854,227,462,711,393,748,301,535,921,573,982,840,570,732,
541,446,980,877,790,806,410,516,578,422,322,054,146,465,388,221,142,173,401,
517,232,935,435,971,463,642,963,415,099,713,916,017,965,043,440,694,634,501,
094,273,390,145,358,120,436,382,392,076,227,657,293,122,947,147,892,458,175,
793,345,232,626,322,966,014,271,499,732,604,634,402,143,719,196,294,438,352,
239,112,739,707,488,947,257,377,678,022,197,736,632,759,819,650,409,982,817,
390,772,413,974,326,075,507,592,530,135,001,734,284,612,285,314,692,920,770,
082,761,424,866,496,005,774,407,623,971,257,564,945,876,987,879,736,054,531,
872,068,458,204,553,266,155,001,413,629,883,965,620,406,635,999,529,761,690,
028,484,632,356,979,197,528,787,280,555,208,568,847,392,533,708,646,723,648,
722,677,033,524,925,778,156,351,907,947,494,800,978,164,458,137,997,081,466,
091,441,502,952,862,574,860,411,140,888,409,108,292,245,792,253,339,224,378,
786,381,409,112,314,490,941,618,401,938,204,341,710,294,584,297,891,131,502,
420,590,149,122,395,446,424,868,495,344,620,941,125,907,811,105,851,085,967,
756,894,153,442,075,981,985,558,914,119,218,080,046,380,921,526,536,338,952,
956,992,192,381,683,189,964,415,919,822,877,394,988,471,951,735,911,602,477,
194,311,212,563,977,072,533,561,016,111,578,420,957,363,408,076,172,394,218,
291,321,283,026,938,862,699,176,846,402,671,321,893,429,839,121,436,071,255,
400,798,665,521,145,154,927,345,261,780,900,509,931,952,243,323,062,233,343,
371,033,547,986,150,220,245,934,353,212,515,226,640,596,043,258,650,985,009,
993,068,876,284,180,512,371,089,618,418,097,945,760,863,251,117,819,509,839,
905,030,619,983,938,630,649,734,388,186,458,745,142,620,571,147,220,797,151,
924,350,646,833,029,259,436,589,825,833,047,068,927,469,070,657,376,943,898,
583,502,928,521,782,641,722,211,960,826,425,584,311,939,119,123,073,210,443,
250,355,597,410,651,905,000,665,278,469,583,359,966,163,668,424,092,646,042,
117,971,964,555,279,810,558,813,795,658,198,657,363,146,655,955,446,238,793,
545,676,732,129,744,988,243,420,649,467,863,211,544,835,412,657,650,554,613,
461,167,901,110,541,406,184,702,182,497,731,977,677,662,080,554,183,708,223,
774,736,577,236,593,242,232,628,948,811,744,055,827,408,353,515,647,804,849,
072,398,250,664,761,295,266,906,848,036,687,636,300,591,899,084,034,772,632,
370,469,826,479,475,281,235,236,984,004,660,690,162,531,944,447,448,525,071,
795,209,692,009,926,363,446,087,955,713,114,925,051,109,640,804,911,307,280,
626,898,785,695,531,620,128,540,182,392,465,010,946,017,763,867,810,602,366,
154,269,676,657,846,468,245,240,296,903,100,006,689,601,728,225,727,851,535,
991,806,964,581,853,960,191,101,218,560,325,321,740,606,176,012,445,205,439,
495,118,077,074,921,051,529,715,602,191,936,250,064,579,506,686,043,329,262,
533,618,334,280,900,555,177,440,117,050,652,405,842,508,789,951,851,315,698,
853,336,570,511,671,692,356,737,986,068,850,617,985,081,989,114,401,823,238,
585,309,545,646,404,840,043,226,254,617,817,410,894,508,617,595,998,736,708,
389,325,159,327,899,616,586,431,458,652,728,227,420,489,085,657,213,424,298,
191,933,236,682,040,543,771,367,427,269,248,025,551,896,245,688,465,894,378,
851,831,587,020,282,730,569,295,550,186,144,251,745,490,022,295,145,508,717,
457,251,537,777,611,755,053,189,315,003,084,669,960,729,564,925,999,822,326,
872,160,301,656,044,604,771,642,910,695,254,324,097,362,866,603,642,232,212,
001,961,157,203,474,005,365,103,213,436,844,739,271,574,605,154,109,467,833,
339,087,507,150,537,030,320,718,648,839,696,911,360,578,628,996,349,237,636,
222,364,258,372,567,845,009,268,718,716,096,984,494,423,003,187,513,559,385,
520,327,217,792,644,911,872,298,034,934,325,377,513,219,645,256,317,648,230,
370,421,113,526,245,410,533,541,382,903,065,897,529,391,032,052,897,451,281,
021,705,069,672,222,081,418,536,126,080,679,419,681,162,231,968,310,246,750,
370,426,282,323,501,353,444,706,873,679,724,599,250,374,413,126,641,679,550,
064,701,205,112,599,926,464,875,428,616,848,921,903,811,796,540,778,086,250,
237,589,629,749,248,567,960,246,972,921,000,306,934,402,570,297,463,314,920,
877,107,791,117,282,661,413,087,191,193,043,773,459,869,219,656,546,295,080,
946,785,028,512,392,311,057,993,511,870,632,090,865,184,418,623,242,813,978,
894,536,558,100,924,280,631,340,603,798,684,497,428,627,853,159,038,988,899,
535,803,530,526,479,732,103,836,983,947,573,151,864,718,078,609,555,212,600,
155,962,589,205,986,277,718,379,173,795,412,088,898,148,751,824,809,382,316,
844,726,109,693,862,653,674,602,297,726,825,141,217,472,520,813,415,198,168,
395,624,022,493,763,980,681,901,896,277,860,952,237,309,015,623,966,589,158,
742,807,186,827,521,125,999,598,025,335,196,544,575,755,406,485,514,780,471,
497,996,255,957,157,618,915,695,314,616,991,358,039,878,261,070,007,899,874,
179,071,146,460,382,201,323,491,255,076,412,369,107,386,530,396,320,358,190,
302,522,621,430,054,298,959,418,321,931,252,739,742,440,158,929,601,037,472,
515,491,119,690,481,324,615,585,367,080,742,220,510,699,472,844,508,009,809,
232,996,909,972,801,135,261,757,595,889,481,235,342,031,190,332,452,240,206,
606,752,029,845,345,302,877,994,029,046,874,693,366,794,845,422,251,801,343,
237,147,573,426,986,798,737,009,833,685,804,932,542,198,890,611,808,345,651,
256,896,343,773,808,530,061,425,234,338,585,224,552,887,022,278,378,603,461,
055,738,269,893,404,081,539,712,381,166,708,660,722,572,599,992,721,569,093,
622,949,220,295,536,638,360,872,166,656,512,734,700,430,288,638,131,023,977,
485,901,927,248,297,701,805,710,637,081,348,123,485,213,870,646,036,941,423,
019,746,358,324,185,514,275,027,977,031,689,657,052,350,857,649,483,531,838,
039,512,058,003,329,360,151,011,597,792,951,251,001,289,342,574,458,258,644,
759,409,291,347,409,841,146,895,772,620,909,460,900,531,569,514,628,133,478,
761,926,793,895,089,750,592,276,949,540,370,683,887,469,809,689,993,838,677,
880,824,407,818,093,257,648,652,325,921,257,152,706,813,129,001,921,137,967,
237,673,259,573,842,088,314,556,756,998,045,713,419,774,339,424,243,808,587,
298,249,731,093,839,250,650,266,443,167,382,917,748,666,801,680,098,718,780,
611,970,670,184,270,245,842,967,402,221,785,156,796,452,257,768,382,978,322,
312,316,139,273,648,126,417,972,505,231,068,489,911,435,424,405,931,591,746,
967,586,104,605,383,594,725,956,831,217,709,556,004,153,295,528,843,296,660,
825,909,575,711,021,416,029,996,296,700,228,388,348,683,532,077,929,916,694,
543,773,342,011,565,753,734,078,877,893,069,959,348,467,751,616,940,508,595,
525,975,975,173,455,199,014,353,634,283,733,800,947,589,909,254,675,952,766,
349,533,783,219,663,272,058,703,367,727,196,297,863,570,832,471,174,289,391,
837,815,718,520,556,340,234,571,471,225,749,198,889,285,327,638,262,451,241,
800,969,115,130,385,786,927,553,964,732,711,038,998,412,784,551,971,164,734,
444,403,650,144,452,698,112,369,129,740,547,795,497,270,057,322,532,838,004,
208,370,866,807,115,629,404,103,234,828,225,186,101,203,533,212,190,455,701,
833,887,424,290,363,614,769,665,957,053,231,614,921,544,908,484,508,778,344,
441,212,177,131,600,125,710,874,831,029,545,297,255,384,243,133,174,065,226,
872,881,020,173,600,879,689,302,438,076,120,020,670,366,238,372,848,042,890,
466,445,580,847,539,804,705,944,418,824,646,259,426,499,012,135,315,160,891,
211,989,607,181,574,122,096,286,682,033,638,521,515,799,181,828,882,773,558,
746,067,620,425,859,345,071,347,436,674,903,358,925,716,505,548,766,405,087,
798,379,029,119,359,011,305,523,498,855,347,711,969,907,578,516,585,411,427,
455,195,774,077,446,670,172,470,211,518,883,904,849,317,420,803,040,699,490,
662,045,559,924,410,887,617,363,958,734,334,961,744,906,923,220,356,890,773,
727,216,592,492,207,193,348,864,593,413,045,269,410,583,972,373,714,284,222,
361,557,568,844,893,327,677,795,322,259,375,144,392,393,926,504,952,122,030,
353,166,197,453,027,905,116,007,794,093,708,162,811,811,678,111,382,937,130,
410,205,533,829,508,050,379,939,117,228,065,987,531,516,662,309,584,173,298,
726,361,964,768,018,751,496,964,293,835,300,991,150,066,016,506,476,847,124,
974,949,026,587,141,541,027,339,608,713,225,662,372,720,759,891,600,575,160,
424,816,218,907,863,456,247,151,974,361,549,587,034,136,724,958,979,612,666,
308,207,527,740,129,742,281,101,828,583,394,367,996,064,509,763,841,635,914,
381,658,976,172,913,356,639,750,816,420,461,358,996,210,742,766,521,271,526,
435,288,853,504,483,728,471,595,546,467,669,029,094,338,537,141,526,337,881,
138,270,797,201,957,073,358,581,114,811,698,116,519,804,568,994,947,590,008,
521,835,637,580,262,332,260,667,933,221,364,167,468,363,074,622,710,785,525,
077,199,942,344,292,130,084,804,380,385,617,960,178,076,702,630,768,211,521,
248,180,001,619,677,300,731,679,919,268,210,820,852,283,198,069,843,189,383,
998,684,162,515,084,272,316,106,593,405,177,624,444,241,368,625,490,094,777,
785,406,751,719,292,242,062,053,246,015,309,764,207,396,377,371,497,647,478,
289,981,942,930,657,725,265,456,105,791,494,824,344,917,926,648,040,685,055,
951,269,737,008,693,750,280,898,963,015,227,670,726,893,655,397,100,334,980,
732,872,474,995,887,622,577,577,858,069,696,937,332,574,586,802,004,200,189,
687,204,220,867,920,237,412,577,263,297,874,300,842,058,765,651,062,326,798,
288,768,994,144,383,691,689,959,747,525,021,006,986,491,575,197,138,805,213,
165,104,229,233,176,778,080,410,535,592,761,442,387,985,924,769,126,049,781,
791,264,389,181,921,535,331,032,454,283,512,299,742,963,383,518,106,230,391,
694,409,472,207,188,302,098,495,286,927,863,652,221,056,483,071,650,829,167,
993,649,982,454,743,137,867,405,667,169,017,633,568,909,636,787,545,658,706,
932,397,228,062,493,013,598,426,467,514,709,329,174,006,282,120,925,895,005,
581,979,597,324,361,602,236,223,756,316,647,999,451,833,933,547,451,781,173,
670,516,016,982,962,169,738,681,479,108,649,714,407,625,931,416,172,065,846,
061,779,807,230,479,047,719,222,288,956,305,768,408,918,780,623,490,240,982,
754,633,517,465,762,805,588,866,292,636,478,121,754,641,497,377,064,957,256,
939,025,976,850,634,101,225,505,379,882,686,165,296,709,462,646,715,412,635,
107,937,969,884,666,998,113,003,079,148,684,692,936,563,359,797,824,450,307,
011,096,056,118,317,980,995,380,807,548,559,364,662,487,627,807,518,618,147,
477,315,814,723,933,077,356,191,473,861,355,843,749,600,155,823,509,217,905,
790,774,683,081,137,329,453,875,242,084,085,731,774,305,344,059,353,172,923,
783,242,722,220,718,764,638,841,665,826,318,480,818,612,410,237,566,483,462,
080,159,554,548,810,268,744,060,648,961,595,444,096,270,553,436,105,427,216,
443,062,155,816,323,418,530,603,673,655,341,309,555,839,485,430,753,068,530,
511,799,848,686,238,274,175,588,351,977,990,585,472,845,868,348,050,391,334,
063,378,848,828,992,852,611,232,868,472,705,141,290,180,718,373,044,580,921,
757,132,748,533,235,165,326,417,136,538,400,501,325,748,151,035,771,404,508,
536,547,503,815,514,850,448,705,894,788,113,212,987,152,764,957,217,120,129,
481,721,192,114,931,243,676,963,260,035,853,132,159,583,487,299,499,964,317,
205,400,676,723,910,765,554,726,929,981,934,703,316,726,278,345,192,681,352,
526,916,829,498,438,662,785,423,269,339,590,435,973,259,530,319,395,192,929,
883,878,695,582,894,708,383,397,211,756,312,470,082,188,091,465,493,757,308,
853,153,245,102,452,534,112,280,580,525,706,711,872,940,882,837,654,583,081,
281,058,454,322,783,800,286,301,681,202,926,586,193,309,324,651,910,485,230,
399,373,283,167,386,502,882,533,791,376,082,778,783,069,554,367,397,177,337,
351,516,191,183,729,874,317,952,828,312,910,123,146,814,799,471,785,326,604,
245,190,147,029,565,541,462,466,173,294,344,937,469,733,493,632,164,795,015,
294,972,025,356,448,690,790,645,269,175,437,604,731,053,036,142,692,359,397,
739,542,357,518,685,634,812,858,548,641,800,831,774,117,163,805,494,511,852,
132,059,127,408,832,374,053,831,928,647,881,806,058,797,642,123,812,100,819,
171,258,518,738,492,981,815,359,839,107,389,139,236,938,147,305,303,373,998,
143,357,116,545,427,881,434,949,882,845,180,242,187,677,832,666,121,879,609,
272,975,648,592,314,309,190,539,126,917,506,418,003,849,252,124,325,664,899,
351,108,645,050,609,071,460,716,464,539,245,646,866,161,276,366,274,204,649,
320,997,166,303,214,144,874,902,774,865,285,222,609,536,922,487,234,424,819,
100,643,966,607,598,057,874,846,824,269,289,436,787,799,189,078,228,843,183,
177,668,076,873,456,438,473,285,862,848,225,254,657,416,302,344,177,386,685,
729,442,505,875,420,476,557,697,569,922,854,627,092,231,718,159,104,748,105,
127,151,733,961,125,434,125,475,614,533,023,892,230,688,789,605,622,179,238,
971,060,110,562,195,394,908,687,200,182,900,823,963,044,202,409,364,040,439,
855,848,250,313,500,503,757,256,542,431,829,900,899,834,690,978,141,831,341,
410,665,364,561,502,711,491,227,607,643,537,529,693,554,641,521,147,872,138,
113,792,058,715,461,034,451,475,269,767,032,923,759,527,570,135,400,332,891,
280,607,958,167,731,212,212,622,347,475,838,382,786,971,432,881,794,733,123,
571,994,660,653,710,767,467,671,849,846,075,271,594,453,606,265,274,857,705,
247,291,764,363,782,200,821,749,054,465,314,121,778,101,350,139,672,224,691,
110,455,397,723,159,584,724,950,941,838,589,613,115,828,440,317,209,210,097,
530,122,638,247,238,758,591,897,970,783,467,865,085,468,411,076,183,509,151,
947,753,078,932,626,746,422,543,734,682,820,134,478,597,676,358,039,506,045,
293,475,255,983,301,826,860,529,577,154,256,381,492,938,513,498,552,542,890,
802,296,716,532,210,920,715,070,644,407,523,228,603,168,873,773,133,179,201,
547,374,787,142,111,046,962,017,662,107,986,578,227,549,035,303,124,369,802,
017,343,862,022,667,716,674,401,011,990,907,721,982,015,458,269,303,157,543,
733,967,191,327,484,530,215,892,604,880,068,563,955,055,885,400,392,321,840,
061,232,944,335,447,506,067,451,875,654,817,923,912,418,780,915,146,175,523,
686,467,768,828,276,021,896,634,891,947,537,570,540,345,562,330,989,597,896,
720,734,839,412,273,414,598,140,094,019,429,010,955,050,113,044,675,696,428,
542,411,960,974,270,835,326,746,949,887,271,303,977,223,403,610,989,655,391,
779,459,368,766,691,494,242,169,422,194,452,211,637,010,831,961,270,448,013,
670,532,374,341,384,640,100,790,984,837,690,927,427,333,506,833,111,324,672,
643,827,709,377,862,881,336,376,048,288,774,564,059,934,172,791,709,027,149,
774,850,344,826,910,407,350,373,409,973,146,462,363,309,711,275,983,495,990,
503,763,074,544,128,476,274,280,084,095,925,308,443,033,766,219,941,160,473,
961,135,157,069,883,199,643,829,807,090,693,441,167,625,335,430,227,971,810,
780,138,775,637,776,371,294,078,122,766,674,388,481,498,597,112,991,940,111,
433,694,944,215,486,704,890,493,189,344,145,287,937,225,755,458,005,145,373,
291,952,492,574,825,520,011,262,794,830,023,615,195,624,710,230,275,591,536,
592,289,093,250,181,407,123,432,990,814,540,861,959,348,482,396,607,718,899,
773,380,918,334,626,845,578,443,269,638,680,542,373,254,946,510,870,558,802,
436,515,549,297,515,309,293,688,254,159,649,967,863,582,731,484,717,488,831,
355,435,353,308,771,448,654,526,880,796,660,122,161,008,936,277,999,643,224,
586,498,606,470,565,848,790,680,386,129,916,671,299,373,405,879,492,652,528,
075,259,440,332,537,081,156,745,677,262,574,672,877,846,945,396,275,650,277,
151,823,287,722,107,746,909,536,836,064,287,149,057,691,408,417,379,883,006,
920,902,356,559,785,890,914,927,926,163,593,265,137,365,605,029,004,120,615,
792,481,688,968,427,683,030,306,730,760,130,635,443,358,197,869,902,745,639,
509,873,686,217,348,160,350,342,004,871,868,153,877,904,834,140,720,057,873,
922,688,889,985,774,033,785,080,815,695,227,161,375,095,897,505,194,014,504,
405,991,132,660,494,838,248,812,300,893,032,584,748,520,320,416,670,274,048,
535,523,872,802,871,320,882,340,917,630,431,472,218,457,365,487,872,800,562,
069,240,890,151,787,528,356,970,844,660,605,071,634,986,874,630,421,216,812,
803,872,459,412,982,629,529,981,136,675,816,615,703,844,348,972,283,114,387,
747,255,530,194,626,000,783,360,075,428,613,668,688,239,033,612,705,821,780,
506,363,990,724,830,846,842,050,770,990,718,275,979,571,595,748,281,206,116,
461,219,054,700,981,850,092,808,029,545,360,290,130,754,248,420,044,483,805,
284,602,033,123,184,975,869,271,098,650,326,146,105,569,650,430,502,276,420,
973,664,855,651,503,388,928,270,329,358,491,229,505,683,408,712,026,715,698,
098,320,561,856,441,886,383,247,415,703,920,290,889,145,230,644,244,959,334,
818,564,009,075,004,792,309,094,422,456,994,033,578,813,364,174,655,053,904,
684,334,503,379,616,782,326,985,264,327,044,446,783,282,192,316,731,491,844,
260,106,264,947,648,941,035,156,760,784,395,753,424,933,915,090,668,327,746,
356,535,649,916,332,835,537,162,242,016,009,102,612,330,309,645,036,713,087,
008,206,003,756,551,616,808,013,315,023,397,310,619,188,669,467,281,220,905,
621,489,194,271,213,090,323,242,379,358,569,938,871,116,648,197,514,459,687,
138,904,206,712,834,403,151,804,703,914,744,373,580,552,655,043,428,266,777,
679,826,085,268,495,399,325,972,120,360,121,951,444,812,751,036,733,889,418,
212,949,098,633,486,991,851,772,505,822,026,747,307,859,030,206,763,879,159,
518,004,875,039,687,690,774,653,384,594,325,974,638,286,488,843,857,609,217,
735,168,898,625,384,054,980,487,093,330,812,311,256,774,069,834,953,056,926,
699,215,402,122,244,602,214,272,917,537,322,573,439,492,230,648,021,319,890,
921,387,710,888,310,948,536,364,798,899,093,970,057,417,821,184,480,002,850,
741,184,581,479,687,557,695,886,251,810,238,075,811,589,597,290,198,421,134,
915,846,082,548,546,321,130,956,618,074,069,153,212,055,810,266,148,614,250,
433,334,254,176,092,148,733,093,611,181,463,267,135,078,098,011,041,973,711,
177,347,257,827,176,016,690,416,217,390,282,274,888,338,549,084,056,187,775,
729,601,083,509,419,798,933,124,679,389,289,010,712,131,425,997,584,597,597,
741,011,598,597,589,302,214,439,665,528,921,966,278,450,020,986,893,579,845,
221,133,902,606,254,452,178,949,407,929,375,562,851,936,057,107,500,783,945,
802,567,028,610,894,978,121,440,547,981,016,818,448,867,908,331,241,862,710,
868,080,670,114,890,290,784,601,594,324,217,261,141,820,179,434,264,107,969,
610,019,161,666,211,022,342,784,179,743,947,918,804,527,583,028,862,081,551,
420,579,614,685,983,125,906,506,466,306,158,355,647,249,260,612,413,518,631,
208,694,167,087,112,887,472,271,177,660,928,871,036,084,351,564,718,092,025,
312,710,800,998,956,269,855,831,526,156,904,862,807,920,045,106,560,486,334,
157,097,617,502,466,738,986,051,154,303,316,923,786,374,357,013,875,654,594,
528,433,699,465,192,224,629,782,011,574,536,604,631,326,855,939,842,756,073,
865,554,984,506,511,928,020,023,322,504,751,030,276,526,123,529,553,008,151,
681,084,426,832,222,245,636,484,159,010,940,578,311,408,637,175,661,285,939,
137,403,748,810,622,048,744,386,938,133,995,958,479,309,930,592,887,585,890,
997,474,768,047,185,611,153,273,384,606,020,564,200,941,327,034,525,655,189,
729,782,957,849,789,414,050,197,895,054,072,066,730,489,614,815,548,103,825,
265,937,735,680,538,953,519,642,891,773,199,607,309,726,013,945,700,025,102,
049,930,054,396,520,035,621,128,095,577,181,696,535,437,865,857,811,334,749,
295,341,863,290,344,534,510,206,347,996,095,683,820,835,601,336,976,654,282,
790,928,398,886,626,430,680,154,663,456,167,539,179,204,524,736,322,913,788,
041,600,665,486,998,348,338,146,622,758,738,108,250,333,630,325,624,367,099,
556,736,114,905,974,790,712,177,981,675,104,745,762,640,501,678,420,952,887,
717,561,615,557,337,706,829,393,601,803,129,124,694,249,313,945,266,318,298,
194,537,328,290,696,725,876,434,500,047,306,912,407,100,934,736,232,998,436,
229,808,456,899,097,218,910,145,783,612,865,306,515,591,493,616,036,754,141,
199,215,617,868,269,370,381,581,967,284,965,031,982,851,951,112,561,421,226,
709,434,625,934,924,825,156,674,061,796,338,480,359,470,568,588,200,196,521,
261,926,197,938,014,515,317,515,439,939,268,355,912,244,703,179,138,488,091,
997,860,762,863,297,401,410,291,173,599,997,225,206,434,660,362,238,115,591,
208,292,527,423,421,533,231,948,932,044,801,754,812,685,452,351,135,658,527,
436,030,265,369,442,482,337,011,639,170,474,407,916,267,429,973,439,792,666,
051,986,711,940,700,360,464,218,802,273,374,909,098,927,752,038,867,641,067,
977,763,610,711,564,725,468,782,037,884,585,034,822,516,617,053,626,054,533,
428,931,365,090,722,962,191,744,483,323,126,184,535,782,806,056,593,781,632,
575,221,661,213,872,535,439,963,743,774,459,352,514,021,407,018,101,709,046,
705,848,364,460,396,285,354,881,885,587,351,987,492,403,019,106,187,974,482,
860,048,239,773,060,737,149,669,830,180,702,555,830,006,277,137,229,731,467,
617,279,435,065,356,367,564,659,135,725,051,385,769,015,020,034,649,383,635,
087,692,966,351,251,313,371,114,369,741,125,874,078,459,235,830,159,937,024,
923,857,235,990,040,290,734,940,122,820,021,285,138,019,000,754,129,745,588,
258,315,389,538,877,637,316,571,710,739,102,319,904,182,491,169,669,812,675,
377,338,393,574,217,627,530,086,201,747,996,812,481,202,834,344,017,181,947,
086,904,671,352,601,336,266,141,635,503,987,808,888,499,585,849,434,206,252,
999,518,806,767,542,070,433,405,426,451,417,727,790,585,467,029,036,287,566,
849,908,773,663,743,353,122,984,967,763,151,996,016,977,829,929,751,035,977,
315,622,541,828,099,040,911,711,518,066,496,079,523,690,228,668,617,805,673,
739,910,576,222,709,036,300,996,541,656,060,074,678,033,893,536,014,039,865,
236,674,690,847,370,318,692,479,847,063,718,053,754,100,187,990,260,681,036,
794,372,711,883,281,822,054,241,734,410,707,479,687,671,254,200,910,752,966,
797,846,732,591,238,991,512,416,532,337,082,953,154,075,833,400,941,590,400,
509,294,335,697,813,679,981,939,029,538,746,622,022,728,212,406,579,680,564,
529,040,379,238,132,647,332,922,998,878,262,934,477,152,484,310,516,096,842,
241,666,922,992,508,991,940,421,508,743,973,768,114,272,505,240,275,652,537,
931,768,099,299,603,837,424,848,205,777,197,211,139,552,477,023,639,846,314,
068,187,200,305,772,916,530,616,954,028,896,383,019,376,198,686,298,937,642,
042,716,250,037,873,188,347,515,897,664,954,731,156,653,745,082,224,586,156,
982,588,994,860,342,970,756,900,689,988,170,115,269,557,462,631,015,988,748,
072,266,961,059,825,980,485,919,329,381,773,319,500,073,747,741,060,036,811,
619,375,549,186,355,018,650,495,126,323,952,941,228,784,162,199,873,917,745,
569,189,530,921,074,423,031,729,244,656,014,768,357,518,628,009,895,787,355,
318,212,046,144,833,894,249,773,016,531,222,804,159,261,499,259,549,428,793,
085,075,191,398,938,660,101,534,062,195,453,720,274,964,064,094,010,221,668,
725,503,736,800,768,807,703,865,936,970,485,162,502,784,740,791,800,361,104,
571,848,562,580,826,400,270,272,372,390,365,591,881,141,972,873,281,333,808,
134,933,809,250,444,855,955,817,396,392,158,756,986,977,041,377,667,512,642,
671,370,682,464,045,458,493,036,410,048,230,383,855,186,403,664,684,147,705,
081,487,276,476,444,910,004,221,909,625,468,499,357,714,249,779,303,772,504,
876,803,094,789,795,034,569,450,611,288,495,844,471,524,979,806,576,900,519,
851,789,788,937,083,942,177,260,459,260,887,141,772,485,495,770,028,387,241,
759,825,058,654,076,682,418,599,373,437,179,712,680,879,424,738,321,447,051,
568,423,516,745,100,944,434,953,197,859,743,875,367,184,879,535,315,362,714,
216,272,212,147,627,872,906,038,964,208,133,086,668,286,292,434,506,569,267,
718,484,224,472,769,370,671,850,508,425,419,555,578,953,794,089,437,743,320,
430,160,895,844,031,544,758,801,468,050,878,956,657,711,685,648,176,976,086,
535,406,673,530,660,873,938,713,588,219,003,945,891,063,140,895,765,345,462,
113,221,706,502,796,387,400,718,373,709,908,959,738,797,812,850,696,341,767,
566,568,511,966,185,948,162,499,537,281,145,959,680,941,517,318,476,860,636,
355,230,794,725,999,488,038,603,135,368,238,032,395,587,934,240,942,074,858,
059,124,360,833,359,132,977,640,595,709,799,031,289,893,485,649,629,750,876,
686,852,215,895,167,623,069,544,394,264,423,595,889,289,521,237,051,567,383,
415,536,018,188,342,813,769,775,067,481,483,077,193,138,708,444,448,274,856,
348,945,306,308,523,993,571,452,886,205,049,778,838,636,015,155,888,121,759,
820,605,935,649,279,294,445,597,691,469,654,929,998,714,811,856,506,064,717,
058,919,354,398,975,701,713,191,139,674,989,908,106,329,533,599,057,779,476,
847,702,565,807,621,805,063,025,632,082,273,765,432,479,080,587,149,066,496,
537,915,601,678,275,585,061,553,778,206,763,463,698,316,366,474,273,770,152,
126,575,683,797,275,841,412,704,291,450,794,756,133,787,650,881,916,145,437,
320,443,833,948,076,724,041,496,882,787,663,178,553,792,197,038,926,326,417,
983,859,104,989,041,140,376,142,724,945,392,058,628,817,489,257,940,880,896,
477,898,024,451,385,036,685,354,700,164,590,748,993,155,304,269,999,514,487,
134,548,995,142,755,051,668,740,430,290,445,125,918,560,337,755,194,420,431,
779,184,922,399,645,567,498,867,414,377,493,362,728,470,362,559,376,557,956,
856,028,238,666,958,400,630,069,009,806,792,287,027,558,452,654,361,969,016,
187,053,409,350,647,888,971,810,597,762,181,056,597,980,471,142,156,956,957,
019,438,959,921,636,548,440,642,449,233,161,756,211,617,140,818,687,239,897,
373,257,368,960,973,876,435,599,181,531,000,341,551,632,541,549,868,562,124,
735,781,512,135,724,295,014,809,027,764,831,346,406,060,531,095,335,621,696,
892,797,860,889,527,508,745,271,729,204,776,490,544,548,513,848,548,204,407,
155,837,026,690,355,679,204,485,638,330,411,318,674,734,337,121,687,158,562,
096,257,455,308,436,639,780,930,447,538,449,233,972,353,374,993,446,328,623,
467,440,849,710,378,622,511,724,956,540,729,516,490,395,870,590,058,497,574,
463,924,843,259,126,228,026,317,299,227,250,383,564,307,851,041,555,307,256,
029,783,369,335,233,849,532,215,747,226,972,037,699,309,286,266,440,050,054,
405,928,734,302,457,974,918,261,184,965,362,065,986,255,315,351,071,151,308,
132,651,752,697,952,148,039,931,179,980,221,272,730,351,909,093,343,343,290,
195,436,249,676,377,931,494,668,175,603,343,119,181,034,149,594,846,646,688,
465,122,554,970,050,780,050,862,910,390,746,944,501,605,206,342,342,154,861,
701,944,795,973,794,262,934,582,002,462,874,335,754,897,295,198,101,171,820,
781,555,827,626,361,715,623,107,582,531,462,204,278,307,352,571,381,996,658,
336,332,539,873,924,030,536,091,223,768,773,225,475,589,613,355,468,003,578,
006,655,951,626,586,663,128,261,961,833,175,119,113,071,848,980,926,149,642,
677,476,569,697,690,149,590,849,177,764,412,679,585,120,682,112,348,715,916,
776,684,561,736,082,611,271,846,743,137,644,164,536,278,854,881,181,048,111,
555,437,074,297,579,297,289,075,669,539,396,364,185,819,223,807,100,144,950,
669,324,023,387,440,449,156,963,029,542,856,011,060,703,729,287,867,516,021,
051,256,876,681,602,095,358,522,230,352,232,007,391,359,409,415,935,741,268,
767,988,965,700,707,613,455,900,919,707,439,069,588,334,865,012,812,486,715,
040,756,427,162,404,040,078,190,456,715,399,000,227,722,971,498,601,051,157,
911,893,462,296,004,026,168,011,803,721,350,158,067,265,038,108,711,554,175,
103,151,983,061,827,081,368,074,081,256,996,016,417,234,541,130,783,398,803,
269,524,709,415,682,654,926,269,898,366,636,616,190,013,430,820,086,610,293,
076,391,582,893,929,087,084,091,723,085,560,753,736,074,651,930,235,374,862,
067,525,717,603,909,034,064,657,850,519,000,531,591,171,830,639,935,534,753,
521,966,654,666,382,191,258,974,620,872,469,118,562,394,633,874,993,417,652,
931,575,947,024,318,790,987,813,737,334,835,663,449,112,866,937,088,822,403,
810,548,922,548,944,963,286,547,190,582,143,370,473,814,623,995,747,509,421,
631,325,175,521,269,579,204,005,121,948,795,375,768,800,774,756,493,977,726,
731,453,144,635,789,239,137,523,594,359,270,725,229,575,604,300,538,390,656,
232,028,523,734,695,147,185,212,516,294,836,387,394,584,329,048,799,708,872,
424,659,735,699,716,972,179,174,582,988,147,638,230,926,444,958,172,850,921,
265,352,163,445,041,758,399,773,017,174,916,669,454,469,021,832,580,037,723,
420,728,413,713,238,049,348,729,036,952,786,714,885,582,986,208,962,027,443,
688,718,211,066,154,228,630,111,092,806,623,133,133,704,432,288,928,538,740,
501,815,039,323,753,535,279,404,849,485,377,495,645,696,829,430,308,437,307,
458,574,976,648,845,253,933,052,387,556,952,640,353,338,958,365,297,560,768,
622,899,393,144,660,336,839,181,701,955,777,170,312,388,734,546,995,703,846,
274,159,737,953,346,239,106,137,209,263,164,090,005,322,745,045,209,248,114,
191,651,811,536,777,035,423,292,245,984,221,616,087,551,612,322,635,468,051,
152,096,274,405,167,901,876,402,734,634,976,476,083,955,955,693,094,842,353,
451,882,183,174,666,640,794,117,620,249,545,253,043,592,710,822,137,903,711,
895,284,810,511,699,892,741,257,140,902,876,194,509,904,603,288,898,029,684,
873,181,978,960,739,711,724,264,747,038,783,208,710,850,000,556,834,906,736,
169,481,290,396,478,660,950,282,989,888,533,537,449,112,428,946,938,461,065,
936,243,548,257,430,267,866,087,424,421,685,101,747,953,539,532,444,373,545,
740,609,900,124,184,492,640,575,134,073,876,673,653,910,711,844,594,242,225,
255,382,161,159,440,856,255,862,899,448,268,073,105,627,614,306,227,375,982,
290,004,126,926,910,276,615,066,957,981,583,795,053,175,611,822,067,716,298,
074,660,537,611,739,891,220,211,858,043,028,650,418,368,776,619,969,468,287,
568,099,446,416,178,713,089,349,880,644,288,343,345,128,084,983,576,245,358,
405,402,500,971,711,372,791,081,960,386,367,972,837,026,438,407,071,511,977,
124,355,093,468,093,828,482,110,210,917,458,082,593,794,221,359,404,742,839,
285,993,527,327,695,927,321,724,292,255,534,658,644,782,131,805,074,378,368,
520,539,706,688,623,145,711,470,997,741,519,162,076,844,576,139,208,309,022,
574,373,500,997,245,028,009,449,561,553,313,471,015,213,487,756,221,681,429,
524,264,770,301,404,006,440,607,289,515,647,681,374,617,695,668,087,650,412,
202,336,742,162,260,336,375,370,454,071,451,273,593,359,216,999,522,205,434,
919,657,024,051,513,181,350,403,282,201,832,610,770,607,770,428,777,335,422,
026,625,383,092,096,042,480,299,933,055,700,548,444,836,061,047,467,834,237,
725,253,992,119,013,343,258,529,937,567,688,739,067,814,221,908,826,274,445,
673,097,914,365,384,779,703,207,838,608,457,520,227,236,914,173,523,384,903,
479,881,197,828,149,925,107,759,325,698,438,138,153,001,553,819,989,629,871,
068,270,003,751,351,333,693,768,397,583,280,450,928,334,075,767,199,070,642,
844,509,221,528,370,992,714,439,836,470,052,670,363,534,186,597,576,379,013,
814,153,367,136,000,600,529,249,728,635,080,787,050,461,890,367,365,963,185,
663,849,213,127,223,757,149,899,762,570,503,068,969,335,141,166,148,044,308,
360,112,275,713,769,744,857,365,691,928,667,115,832,465,692,547,971,379,370,
973,782,086,544,354,511,894,752,030,476,358,008,557,137,893,410,690,244,463,
942,118,811,021,607,566,205,485,369,370,423,793,262,092,080,853,255,812,075,
217,756,246,188,504,746,382,548,237,014,667,516,113,412,596,287,610,470,066,
339,966,180,255,319,635,525,414,317,726,153,547,497,635,012,120,304,011,070,
981,004,455,863,248,919,245,492,573,694,013,479,798,338,594,066,587,170,491,
798,716,278,259,455,337,126,242,196,223,094,528,744,951,507,719,333,221,148,
477,764,443,349,025,629,101,532,855,781,196,699,787,396,330,394,457,670,807,
694,236,277,804,030,932,838,200,638,401,988,638,787,191,373,753,165,730,711,
889,348,144,759,657,541,728,242,417,781,012,277,461,936,717,823,086,698,561,
526,871,931,000,884,148,159,998,857,700,924,612,977,884,022,991,840,327,846,
137,723,887,696,458,461,526,133,503,481,896,882,724,621,071,737,567,823,648,
547,412,254,408,514,742,136,952,027,532,854,133,793,644,416,636,437,217,010,
219,823,082,829,680,557,212,767,596,375,885,433,325,286,001,558,983,279,645,
634,629,560,767,954,874,998,094,367,748,234,733,637,657,828,829,757,766,182,
595,871,498,783,460,207,781,208,155,025,834,274,216,829,679,545,004,631,382,
432,755,714,857,081,811,648,613,004,601,032,683,664,406,244,592,623,494,487,
747,565,726,947,592,570,431,167,759,919,444,066,366,873,797,768,452,529,974,
976,688,077,312,893,464,250,882,159,316,078,957,683,616,271,398,714,393,350,
129,164,314,744,967,634,758,067,276,177,276,709,439,462,952,034,178,366,376,
948,863,873,350,210,999,154,174,491,410,906,577,286,544,942,488,669,700,427,
856,232,760,906,377,410,070,930,779,023,064,903,885,205,605,433,744,874,112,
852,067,261,473,057,026,378,481,279,430,525,096,823,196,349,791,579,591,304,
061,784,556,571,161,628,499,846,677,892,903,898,563,220,941,149,971,419,427,
419,727,288,469,169,755,839,606,326,268,812,907,532,560,729,213,248,314,952,
810,655,948,957,048,110,211,644,626,811,594,605,747,908,402,181,159,599,886,
536,144,676,898,516,802,230,544,378,634,522,290,484,507,717,645,651,552,544,
395,091,822,563,577,412,688,347,267,422,879,646,623,870,405,522,353,306,354,
156,635,621,969,046,016,439,009,657,540,881,017,059,425,737,865,329,802,850,
788,185,598,687,167,940,457,351,909,101,115,123,161,495,605,574,611,066,367,
973,558,711,975,685,036,449,840,373,789,586,016,198,118,449,631,963,168,970,
808,269,971,167,569,551,620,514,977,195,846,215,859,705,775,469,842,229,494,
080,576,084,221,489,557,751,847,020,927,856,630,069,690,839,700,582,172,906,
858,278,714,167,101,876,560,083,923,319,149,258,791,648,103,220,494,283,395,
985,348,372,978,021,557,254,522,788,220,003,296,388,555,692,846,659,970,057,
176,490,452,749,279,370,276,857,575,428,529,040,970,923,162,995,996,777,999,
465,390,743,862,749,375,202,040,511,011,220,080,356,417,684,288,933,337,720,
289,967,223,194,078,689,275,822,622,837,924,857,914,077,826,305,023,388,118,
685,194,016,163,612,758,208,497,977,322,641,540,729,002,894,968,724,692,024,
960,120,575,389,167,483,730,966,637,363,069,742,851,930,014,055,268,840,625,
538,402,319,115,007,708,701,358,582,582,853,623,112,635,702,960,028,992,354,
281,564,422,974,971,946,180,861,415,174,806,498,603,579,943,385,119,808,931,
393,562,241,890,068,727,964,889,449,733,109,570,191,923,507,711,082,974,027,
109,642,955,743,758,926,138,077,152,745,122,625,410,494,493,176,926,655,644,
633,250,947,256,242,446,330,998,854,694,037,739,096,248,206,821,467,458,263,
261,942,881,022,215,258,914,111,072,938,404,883,815,855,512,799,354,901,880,
933,695,277,212,101,209,814,278,548,847,003,430,727,345,277,872,515,765,217,
224,345,429,605,307,938,487,359,405,188,089,743,499,487,200,539,457,828,797,
421,236,703,140,162,169,953,013,400,845,578,460,392,999,707,615,168,741,443,
101,819,732,008,487,838,234,278,738,777,260,544,772,032,616,511,287,677,756,
484,982,150,336,676,832,940,997,288,915,051,795,335,890,906,890,050,387,999,
560,158,778,159,585,705,565,543,196,924,099,451,950,746,453,629,482,792,603,
450,159,037,336,357,579,584,723,299,098,374,950,394,168,034,789,260,621,021,
164,376,609,137,409,356,958,835,057,880,119,005,739,158,064,575,106,200,645,
415,348,706,388,691,707,366,194,347,635,174,424,126,096,036,493,318,559,161,
208,584,185,098,731,641,266,046,759,715,706,356,842,493,942,549,911,135,431,
091,326,288,301,685,716,606,908,767,128,271,911,371,499,422,092,227,344,002,
732,622,301,146,457,910,271,413,876,747,617,355,987,333,388,525,212,200,619,
080,187,560,595,212,495,555,512,283,405,706,548,505,182,658,014,198,299,009,
274,630,446,530,629,734,074,615,840,934,941,571,019,659,033,391,218,583,401,
824,375,206,353,928,362,857,600,352,313,588,617,123,531,692,572,279,199,089,
945,474,036,086,735,205,507,378,996,322,719,958,836,920,160,766,383,938,735,
439,131,660,939,364,320,401,056,423,508,846,893,893,414,308,600,454,102,409,
847,742,900,252,088,544,665,290,677,330,375,412,377,664,775,978,464,379,858,
046,449,028,623,111,469,553,116,171,033,459,707,566,815,110,255,318,097,588,
292,379,720,943,825,513,621,345,952,054,899,289,865,665,720,635,707,560,197,
256,997,997,188,194,294,373,375,667,042,398,208,094,131,666,246,462,659,785,
849,379,984,265,662,522,038,969,012,230,125,108,872,388,306,945,094,484,841,
352,339,493,501,997,135,543,801,833,453,956,342,955,557,983,388,664,831,909,
678,718,822,834,880,420,672,775,640,022,179,187,992,976,670,293,152,612,454,
768,320,978,654,723,663,474,684,044,355,263,510,880,105,263,108,063,012,985,
426,282,136,656,013,530,001,845,935,016,357,191,236,541,632,241,834,814,452,
065,704,130,612,343,042,426,193,461,518,244,038,249,653,004,960,695,599,601,
727,661,601,117,762,897,095,682,072,419,209,195,661,295,528,838,978,908,140,
687,545,181,829,168,947,089,202,793,629,378,712,499,204,299,912,782,445,330,
960,536,366,929,540,280,551,911,101,567,713,863,489,699,840,751,984,419,733,
060,933,130,246,451,918,233,385,283,134,648,985,531,295,108,197,398,739,517,
034,212,827,724,228,720,718,243,969,294,838,443,984,781,316,086,955,128,282,
140,771,478,993,132,163,900,108,650,337,642,760,831,940,287,167,723,048,595,
359,151,028,996,161,485,775,948,278,388,912,867,723,499,899,291,617,239,435,
853,123,444,107,842,727,421,358,852,741,162,031,813,879,306,741,208,652,945,
356,239,455,835,906,620,605,563,762,861,450,220,312,543,512,376,869,061,847,
699,188,520,630,022,859,186,081,931,734,804,130,217,011,838,974,877,950,094,
603,548,893,321,719,873,268,989,391,504,079,669,290,672,170,110,711,628,238,
098,939,797,188,215,501,418,461,842,176,001,613,175,833,719,986,885,538,312,
881,967,421,321,694,670,447,954,720,286,007,738,240,544,487,635,126,506,151,
698,105,662,198,134,486,381,784,797,402,374,941,234,136,037,346,936,381,140,
377,480,400,096,034,420,843,344,981,832,961,827,672,140,949,696,166,062,639,
247,513,779,149,576,432,571,429,500,200,555,695,158,813,146,771,883,375,771,
594,447,811,309,880,058,284,569,668,667,205,520,559,713,916,070,575,465,926,
607,284,828,932,752,520,624,842,770,602,325,961,182,316,219,251,426,542,334,
249,037,572,480,256,101,509,180,786,711,081,454,238,019,266,902,880,423,863,
279,607,761,259,938,236,306,627,608,420,019,696,494,495,473,036,775,190,155,
878,251,423,886,802,986,906,466,557,398,492,914,982,813,437,674,979,338,269,
072,256,247,371,863,089,899,553,196,129,566,028,701,529,425,409,815,238,191,
320,649,478,680,205,973,936,217,184,531,558,756,973,872,774,803,358,394,968,
341,635,708,551,423,090,976,818,179,989,264,741,584,281,658,853,724,604,186,
030,382,267,418,255,518,596,121,802,920,174,391,899,796,940,836,743,056,724,
073,918,741,212,628,820,435,270,347,725,636,753,726,279,184,265,682,525,768,
885,970,530,118,639,933,773,636,436,875,333,276,236,335,712,029,679,182,256,
289,021,406,179,407,489,521,253,567,678,017,599,669,521,548,314,128,703,412,
330,506,467,828,824,411,359,900,199,575,041,534,812,455,415,573,227,281,331,
555,334,867,165,617,088,281,391,705,272,947,478,246,656,398,087,156,781,052,
298,080,882,836,085,383,320,562,040,269,201,847,424,394,979,836,417,142,244,
537,519,037,380,817,666,256,744,459,428,159,935,847,523,805,551,746,228,793,
520,881,639,461,029,613,201,942,061,441,847,047,204,863,275,907,683,425,686,
171,046,059,510,041,061,974,763,175,484,383,886,618,519,066,361,730,902,378,
494,368,377,227,200,117,867,228,598,267,523,433,178,980,744,147,625,831,131,
801,351,711,812,926,873,025,870,906,861,129,509,464,554,910,873,476,084,136,
416,872,268,064,058,247,763,324,963,095,997,971,595,528,365,614,052,465,870,
377,575,504,276,773,271,665,995,743,703,062,669,296,093,375,863,322,816,476,
634,919,261,956,118,395,866,778,827,588,069,526,963,551,825,251,089,255,781,
729,219,866,130,988,689,132,917,055,052,224,898,807,640,493,017,398,789,122,
557,897,654,513,018,554,722,082,631,993,902,454,800,520,915,435,271,304,005,
041,584,800,981,046,598,426,059,325,418,015,407,374,477,649,747,373,546,920,
234,598,050,800,134,155,307,755,246,178,389,855,592,703,504,440,775,473,286,
993,057,261,888,590,542,902,161,235,285,862,802,484,667,105,324,560,166,462,
480,791,151,415,313,631,516,492,516,672,099,515,074,123,079,002,639,886,029,
929,073,018,621,016,846,560,435,010,454,683,443,224,013,145,288,480,862,222,
412,813,248,331,834,667,005,076,838,035,302,813,449,225,545,818,496,492,311,
345,332,763,038,282,856,214,925,349,741,790,564,167,505,251,080,447,238,969,
067,141,401,213,839,634,467,853,008,885,766,300,739,133,252,935,173,861,955,
019,371,467,835,737,645,526,312,911,214,868,959,692,186,694,958,538,849,019,
794,721,458,715,472,980,581,979,695,200,061,539,466,769,231,306,560,090,310,
697,072,523,834,475,913,622,638,638,883,428,898,828,666,079,424,593,081,904,
500,232,725,522,451,466,762,462,032,638,521,251,973,452,412,182,951,839,047,
006,262,389,163,121,517,549,857,120,352,543,306,823,211,829,076,166,768,642,
780,616,919,375,944,617,899,288,575,388,878,547,197,648,456,465,410,562,168,
361,350,690,003,500,249,179,276,726,728,202,986,126,122,419,368,009,571,105,
442,074,286,490,773,930,501,093,069,722,703,622,369,150,980,277,111,319,964,
068,172,092,798,138,868,627,765,434,437,140,178,173,982,826,420,499,898,118,
919,406,169,311,430,277,975,629,152,346,247,785,191,957,766,970,527,052,087,
252,403,957,516,987,689,561,158,825,234,500,275,239,442,471,894,900,058,097,
341,895,176,041,776,334,858,583,928,886,904,578,264,876,935,371,929,598,601,
357,661,437,292,578,903,253,838,947,359,254,555,404,885,239,156,311,234,127,
627,709,171,419,975,292,996,670,712,977,894,376,900,780,582,222,593,637,635,
521,117,541,693,457,167,031,978,121,786,303,651,288,614,479,003,967,765,769,
068,988,288,546,674,483,318,667,648,428,400,339,638,966,762,942,353,936,426,
330,700,999,897,722,654,266,507,008,034,342,496,458,530,200,150,272,161,669,
803,984,884,716,126,478,497,742,406,218,789,037,861,075,092,433,684,946,297,
822,518,718,593,183,343,880,107,072,815,875,175,486,170,918,619,307,839,720,
689,467,242,858,140,427,259,513,868,686,079,887,044,815,562,088,948,693,561,
710,121,652,260,748,736,090,403,229,181,004,731,429,074,935,300,694,778,263,
422,317,654,032,820,175,300,904,890,101,969,596,283,016,739,427,018,219,863,
734,636,543,622,340,065,975,765,409,652,460,912,078,832,270,805,389,813,300,
764,704,359,082,688,210,569,281,116,598,394,288,473,237,080,491,151,063,277,
415,138,196,079,236,363,462,084,158,832,639,178,764,895,514,992,533,656,799,
715,918,704,468,662,179,862,280,732,251,107,574,017,103,557,051,674,245,784,
725,812,351,330,672,286,994,788,104,187,487,453,516,739,822,864,981,531,544,
647,917,196,752,496,175,578,847,532,205,698,424,274,589,529,261,084,969,792,
128,374,888,223,942,662,890,695,872,334,264,780,328,425,008,638,689,319,244,
879,716,327,002,829,273,442,652,714,614,545,758,515,209,662,443,138,435,816,
236,981,219,773,428,685,994,199,777,817,380,056,896,077,310,311,679,485,143,
770,561,656,599,940,744,080,810,286,902,640,596,531,451,066,811,585,441,806,
521,318,851,847,737,365,903,434,269,376,232,037,663,697,124,144,002,138,366,
406,800,270,607,030,387,942,129,395,455,018,044,187,921,199,014,213,315,262,
759,011,489,186,096,111,148,069,366,273,676,878,526,016,159,365,909,667,628,
141,471,741,583,188,382,446,269,691,719,705,665,496,710,249,614,910,767,321,
019,688,497,985,708,466,422,741,011,364,342,014,249,572,912,155,023,136,730,
713,911,418,330,285,699,417,217,631,460,621,231,083,404,445,442,714,431,234,
084,013,828,903,314,551,359,123,918,857,225,238,906,244,765,793,050,888,106,
342,010,898,638,025,290,361,599,219,042,987,006,921,115,443,574,718,115,637,
742,834,987,006,029,629,304,694,965,228,776,173,206,304,121,965,296,133,683,
014,954,248,944,488,711,867,534,792,618,104,003,152,145,468,702,152,229,300,
908,297,001,745,134,560,543,675,440,973,624,173,226,277,047,423,058,192,507,
396,543,723,080,194,172,545,476,836,388,816,148,792,018,796,983,893,168,049,
092,206,842,757,205,112,782,093,668,434,212,987,707,597,126,139,044,470,000,
340,723,561,322,086,269,466,871,050,747,961,052,602,143,004,625,072,277,575,
667,359,111,072,874,334,476,371,991,758,426,561,258,369,710,935,727,015,554,
879,109,754,951,241,665,749,418,520,291,760,426,969,706,972,432,609,248,039,
321,365,909,710,146,305,895,554,076,882,627,333,006,470,655,983,301,600,941,
138,090,778,264,798,564,671,640,523,285,785,244,320,411,161,762,926,762,630,
793,650,204,029,309,702,209,366,973,515,701,599,226,310,491,387,621,805,978,
602,983,847,851,753,047,675,395,011,714,629,867,731,656,223,003,879,781,225,
488,972,753,933,418,658,241,682,010,321,192,840,130,212,193,530,515,948,529,
351,337,840,328,823,964,029,659,240,337,874,621,013,990,185,549,885,497,409,
370,588,127,897,402,056,469,042,958,583,430,325,775,300,559,164,085,184,994,
111,241,637,364,645,095,972,122,015,330,999,184,156,792,747,468,073,262,307,
135,603,314,899,942,119,781,278,563,399,709,586,753,030,127,650,502,104,416,
740,348,723,262,341,026,727,979,261,927,196,768,868,593,028,267,352,641,306,
849,032,968,085,144,001,133,905,819,776,644,888,813,638,768,236,235,435,526,
166,310,363,182,946,693,356,670,241,914,455,818,468,109,600,016,278,983,611,
152,577,702,505,847,761,448,530,802,544,638,529,049,892,789,656,286,060,321,
786,258,503,539,902,733,461,752,144,063,687,772,665,380,059,231,199,320,376,
995,772,587,913,112,399,622,638,154,306,468,982,674,629,760,380,562,322,868,
924,190,726,750,394,908,673,659,756,915,120,292,457,745,053,589,685,428,090,
308,125,509,425,732,741,692,830,875,874,703,309,830,688,162,209,654,114,103,
879,289,322,958,767,461,593,169,700,491,054,632,816,933,855,124,548,643,230,
425,877,932,341,063,372,970,346,568,723,418,269,247,504,884,884,772,849,542,
913,932,402,968,752,902,785,602,086,345,958,345,157,713,711,683,717,433,749,
236,958,122,332,576,650,974,867,987,746,684,833,189,298,296,329,843,501,240,
690,321,586,883,217,074,023,726,380,071,138,418,586,651,317,004,237,223,319,
190,815,637,845,715,005,492,149,225,854,458,425,255,769,208,055,464,201,744,
304,819,512,863,479,429,319,914,136,567,885,206,054,319,031,280,033,589,363,
461,197,594,802,651,797,493,570,003,363,216,396,738,556,950,696,387,130,437,
473,993,110,657,449,564,398,232,629,270,291,539,712,999,570,683,957,771,191,
702,411,048,582,019,712,586,691,779,649,184,489,870,435,681,113,991,256,134,
129,383,784,840,345,267,357,374,245,443,335,109,799,857,717,872,360,160,667,
077,879,017,296,304,166,670,690,998,954,525,729,581,068,833,934,810,399,723,
224,947,276,586,702,561,688,758,439,311,480,590,871,727,257,781,149,673,336,
671,520,738,536,553,088,722,798,219,337,702,404,925,533,990,107,938,173,627,
389,839,655,657,088,419,589,410,987,297,270,501,540,242,809,092,002,099,045,
382,304,782,377,167,486,799,663,458,265,636,254,075,899,744,498,959,174,397,
029,527,543,835,920,590,281,079,131,400,301,590,397,941,941,443,951,637,851,
521,835,450,080,805,143,422,091,488,367,621,076,786,339,258,529,750,846,159,
241,565,738,350,321,260,123,181,374,099,870,831,223,133,323,186,647,649,818,
952,068,509,047,202,312,781,053,591,092,712,973,589,637,349,968,237,012,235,
676,268,650,207,306,068,257,153,470,401,843,703,048,924,385,360,512,542,700,
022,987,636,627,192,675,265,008,064,661,085,447,099,466,510,411,960,465,259,
224,618,272,172,815,036,708,707,071,126,608,592,326,253,571,979,296,893,269,
223,959,062,511,954,219,824,543,084,129,896,949,048,170,764,968,229,248,544,
914,681,510,276,539,989,705,591,626,321,124,975,421,982,994,362,404,252,412,
425,392,805,868,908,304,018,441,533,048,892,802,913,866,871,005,639,132,120,
119,632,790,339,917,978,386,157,661,986,737,507,429,738,570,683,613,287,256,
283,974,350,887,416,776,974,380,729,606,111,883,677,819,096,062,755,171,038,
745,517,262,959,645,902,095,019,881,681,691,112,310,207,989,913,283,916,796,
235,333,272,323,695,561,253,932,989,887,224,527,255,010,439,300,284,912,713,
505,626,665,497,712,588,431,425,544,185,120,388,328,422,984,341,157,908,743,
067,047,945,641,908,395,326,885,667,732,967,890,451,673,279,576,904,946,016,
620,152,991,599,834,561,603,747,117,791,315,923,680,617,668,030,561,105,825,
571,468,828,672,210,849,618,353,143,190,393,038,854,263,738,804,812,525,065,
544,205,002,589,823,284,404,454,715,620,739,295,524,117,898,826,420,195,156,
775,412,832,486,486,952,843,921,754,657,858,546,441,814,368,244,607,500,805,
686,413,739,009,947,304,761,792,528,558,945,284,285,322,946,331,551,127,962,
774,893,403,651,100,065,237,250,055,502,807,055,667,338,268,628,928,384,275,
882,680,146,205,517,910,412,908,425,957,621,935,725,558,774,673,201,797,454,
322,808,837,413,204,978,014,918,803,311,171,884,741,840,162,742,559,613,517,
903,102,023,155,011,206,167,618,484,402,508,031,321,852,298,325,439,174,719,
322,026,814,656,191,162,598,342,120,311,710,378,594,598,559,379,119,265,120,
368,742,443,910,207,482,013,416,942,880,251,992,933,483,633,476,274,529,928,
578,806,003,062,336,512,164,845,905,090,304,703,362,609,363,296,023,812,953,
416,229,018,650,591,390,247,042,900,666,399,070,401,814,747,072,624,631,115,
065,241,485,469,575,048,435,718,500,327,291,633,945,669,608,097,015,895,815,
335,393,014,527,383,799,968,730,333,190,506,677,843,656,838,888,617,613,916,
490,227,765,482,986,774,919,541,743,983,533,066,708,020,716,614,771,806,306,
451,809,863,447,035,143,418,546,554,363,562,520,044,431,825,557,408,719,914,
814,762,595,459,982,608,375,896,303,900,134,712,933,354,368,277,764,740,560,
427,863,770,941,154,775,442,619,903,323,310,754,501,291,544,553,820,452,855,
477,217,524,659,629,158,909,854,462,043,077,240,183,076,927,897,383,219,484,
177,377,997,115,427,838,083,979,940,666,104,010,707,296,533,155,331,134,665,
731,445,224,749,530,481,664,910,404,158,009,572,793,212,198,559,477,862,385,
739,055,173,461,591,491,106,446,050,441,011,156,471,351,234,140,692,255,432,
742,699,918,701,242,391,523,003,537,219,059,052,943,699,324,441,624,898,455,
522,261,717,814,001,178,623,593,535,549,366,439,147,145,368,371,137,486,992,
772,063,009,033,676,478,456,818,238,237,154,445,664,141,186,176,720,213,270,
103,545,717,330,924,733,836,725,041,399,803,493,041,300,760,715,837,259,520,
517,423,520,888,962,947,067,160,553,063,147,950,757,381,536,150,461,286,929,
122,278,317,771,013,380,154,114,592,570,341,795,962,758,536,591,824,949,685,
920,731,826,054,880,924,646,629,307,149,895,070,492,483,946,351,720,805,801,
480,211,306,297,382,649,157,265,108,600,217,298,155,615,145,009,412,486,524,
846,304,439,967,779,523,267,595,842,098,554,107,136,974,703,284,906,965,380,
779,135,903,974,248,355,615,903,831,976,948,355,967,395,300,175,251,552,652,
163,558,936,416,138,049,063,975,065,429,770,221,440,279,322,654,840,650,357,
552,666,038,118,672,707,379,609,941,324,086,158,296,461,993,926,731,942,847,
014,263,031,632,431,647,730,469,359,849,366,649,302,827,417,396,390,688,552,
291,086,651,999,999,808,590,665,160,375,100,940,544,361,136,470,007,423,096,
854,350,758,859,164,008,777,300,163,568,422,781,387,380,946,778,703,401,365,
045,062,935,235,216,105,032,138,690,271,769,381,069,439,037,504,372,959,588,
631,215,750,792,118,488,978,864,098,225,840,620,728,957,624,570,324,321,949,
210,303,036,739,962,247,761,108,576,548,788,462,465,766,436,581,163,687,313,
393,874,130,997,640,252,063,860,178,482,556,762,080,088,664,671,133,988,085,
782,940,635,681,582,209,762,730,893,105,455,794,122,738,896,305,912,153,433,
013,728,027,615,503,459,449,277,043,308,348,203,072,391,431,070,124,605,206,
205,789,199,851,715,983,474,921,467,275,117,985,625,629,091,964,108,076,164,
902,182,116,954,205,976,714,042,129,660,145,986,300,502,879,687,653,518,234,
376,222,884,035,109,222,534,727,572,565,685,937,293,956,341,537,177,506,627,
277,434,399,640,949,457,617,765,684,897,681,425,194,970,542,816,402,677,242,
889,579,688,677,986,268,419,480,129,648,938,610,975,883,455,976,992,606,627,
141,310,738,288,294,441,079,347,410,832,874,375,671,608,697,804,788,247,159,
457,933,065,519,448,935,013,961,085,761,839,880,850,035,327,431,320,761,912,
359,078,160,463,898,766,274,810,052,362,286,161,762,756,773,982,222,568,141,
394,542,596,398,793,609,494,849,398,665,262,663,691,994,410,853,494,646,174,
551,545,979,530,067,424,230,851,979,141,672,600,584,229,813,440,989,168,169,
428,951,236,507,888,880,171,932,760,294,746,580,474,627,080,060,914,168,043,
230,615,989,664,585,828,919,023,226,838,222,939,570,845,452,668,703,164,545,
178,638,375,397,639,995,450,371,680,127,810,759,163,735,697,458,486,612,034,
978,632,364,805,112,114,929,852,815,687,208,793,131,157,417,723,577,879,304,
222,896,301,950,443,002,659,750,247,489,834,057,886,828,267,053,945,061,148,
446,555,652,274,701,601,062,217,602,483,322,899,922,343,140,064,859,818,345,
723,168,158,475,522,552,097,947,572,115,410,685,428,757,515,781,859,736,496,
827,877,399,011,734,032,295,114,155,840,698,528,154,206,110,829,115,348,386,
523,848,735,096,296,529,037,001,964,743,982,685,523,608,932,215,230,947,405,
827,279,358,202,096,578,718,415,178,824,355,818,661,492,714,615,963,597,581,
981,571,555,648,941,832,204,171,758,347,555,797,464,989,319,821,516,903,011,
208,842,715,828,399,478,878,043,277,757,789,954,989,496,000,509,257,303,467,
858,105,915,719,076,575,587,715,123,283,773,717,098,866,592,722,701,552,947,
713,514,194,520,215,239,103,560,310,008,108,661,797,541,998,840,289,928,694,
609,051,745,294,895,014,953,520,741,309,895,681,892,273,281,648,674,441,627,
012,933,714,887,488,989,199,854,383,394,201,240,811,464,437,680,615,200,549,
858,440,074,325,315,079,624,004,044,863,163,501,367,189,468,207,007,517,279,
940,945,142,969,655,245,406,343,942,748,550,679,887,691,567,117,250,811,428,
062,553,770,075,699,712,633,896,524,020,773,707,402,324,803,456,739,383,630,
888,569,981,683,432,491,774,621,655,406,025,977,531,568,715,472,742,593,371,
673,170,863,696,753,999,731,238,246,240,111,617,850,194,154,109,004,212,921,
849,713,653,445,687,224,820,570,208,584,958,558,650,303,879,213,681,611,486,
559,697,948,005,887,178,547,925,283,636,702,170,604,212,644,056,471,881,888,
780,647,204,728,253,524,812,280,013,909,759,098,435,203,382,672,894,889,364,
321,318,141,965,416,622,671,148,784,910,642,347,034,539,287,591,423,062,331,
382,360,794,306,996,563,257,358,959,730,433,885,328,386,058,460,214,587,224,
442,175,058,203,151,127,887,544,708,484,275,827,054,510,170,527,023,319,655,
081,399,473,470,378,308,925,637,489,830,609,180,498,762,616,689,865,125,014,
801,445,687,154,663,530,052,950,715,643,237,373,180,199,392,768,248,863,300,
116,320,028,503,871,228,080,339,665,110,755,937,662,863,249,977,256,868,001,
461,675,385,951,999,929,145,850,318,198,787,029,025,962,531,838,865,514,367,
694,735,805,560,719,753,594,118,907,326,399,478,406,781,359,329,947,794,174,
095,770,669,766,154,429,055,061,582,227,720,502,915,578,661,743,432,058,772,
205,373,307,819,031,903,428,451,777,897,594,385,409,595,895,652,627,794,662,
841,656,561,986,783,261,429,940,994,593,757,800,891,926,081,644,351,804,177,
524,242,195,365,794,019,612,812,215,449,556,792,882,716,819,715,500,814,414,
569,661,968,266,995,167,267,948,381,012,640,439,094,471,867,884,874,617,930,
222,267,139,690,941,326,276,750,073,318,171,597,327,262,991,579,116,592,514,
694,371,970,087,665,637,293,549,561,565,700,308,497,441,813,646,659,311,483,
962,870,794,575,507,818,251,693,372,377,215,630,419,921,734,423,699,786,728,
644,785,633,984,033,222,410,352,775,703,759,914,442,069,847,443,752,464,903,
120,628,655,143,319,281,710,690,242,605,608,795,564,285,503,012,519,183,979,
868,890,432,272,063,702,525,809,114,112,481,290,188,958,899,335,079,266,413,
830,363,581,229,029,621,625,059,026,809,889,967,788,978,626,407,436,350,521,
542,214,932,092,377,119,680,946,428,932,894,241,161,690,447,354,502,247,459,
944,607,393,639,889,156,072,757,093,537,994,324,650,622,676,776,673,185,099,
612,841,691,100,255,002,315,848,461,580,828,836,314,363,841,987,630,556,964,
717,663,713,088,074,337,732,061,862,925,710,094,920,560,812,344,254,003,924,
961,032,844,842,222,297,690,620,816,325,978,960,766,336,047,951,822,279,007,
789,172,540,203,664,611,364,194,024,277,231,918,567,267,282,889,759,755,448,
005,458,194,643,013,497,508,047,852,888,060,260,677,473,796,438,582,235,172,
383,166,092,922,631,026,867,894,673,300,881,936,548,218,787,007,566,221,833,
086,798,461,885,120,015,555,192,683,692,213,791,291,529,208,376,329,673,669,
248,779,679,259,839,653,074,493,243,655,987,663,590,610,960,685,989,213,998,
560,956,123,179,169,669,085,059,731,891,017,968,324,499,279,585,772,123,797,
062,257,270,733,855,762,402,420,426,813,942,299,933,854,862,013,802,652,486,
068,092,401,787,302,025,748,216,786,784,455,037,270,257,984,125,199,711,344,
786,416,372,135,151,621,939,937,059,734,091,534,118,724,271,562,228,624,900,
199,238,111,942,009,397,494,250,182,940,278,616,902,121,416,614,762,648,651,
395,860,086,056,339,211,190,999,131,375,430,086,410,939,554,140,192,079,213,
114,703,337,921,747,257,984,484,360,272,011,373,806,812,037,299,398,992,729,
799,782,970,997,920,172,997,587,921,972,024,544,784,745,559,531,855,000,553,
721,232,944,529,173,908,492,895,469,354,489,190,793,225,298,915,403,578,977,
860,331,556,850,246,061,218,889,822,431,366,669,691,722,431,337,052,480,725,
560,011,462,086,636,453,577,248,075,910,304,418,005,920,222,957,050,076,088,
362,238,893,609,718,538,654,481,157,570,638,446,817,875,157,720,881,422,127,
112,770,878,257,716,843,362,709,740,388,534,105,289,933,600,374,349,093,237,
990,095,069,418,274,969,942,593,527,121,711,100,253,722,060,004,946,198,150,
244,465,221,862,235,499,374,950,792,282,300,712,030,398,395,631,319,213,808,
054,336,237,751,008,231,587,053,640,902,016,515,967,202,543,999,629,834,349,
145,830,750,074,936,705,865,744,259,996,620,960,727,344,588,110,432,451,138,
808,209,858,271,824,267,406,252,657,759,415,055,911,364,381,393,785,259,563,
900,793,108,567,501,057,087,845,697,066,863,934,470,918,854,449,122,690,883,
415,892,042,682,413,167,413,573,864,963,331,714,827,806,564,481,274,459,959,
758,970,337,834,834,643,518,397,710,822,406,593,140,264,504,899,751,114,850,
141,530,023,836,344,871,797,917,097,282,956,564,150,993,850,234,058,430,407,
609,090,242,832,207,552,897,092,989,464,680,907,998,778,011,416,428,364,746,
781,618,104,516,093,401,905,887,758,542,049,557,990,809,142,975,501,200,406,
564,462,107,629,424,615,139,317,234,213,464,787,979,591,337,909,498,294,509,
377,989,631,630,158,636,640,847,282,439,176,538,055,185,475,819,001,390,395,
326,662,317,324,210,188,356,224,337,038,114,569,450,913,588,267,805,242,280,
627,693,135,012,033,690,901,868,040,537,672,469,945,719,257,732,716,388,861,
387,157,900,816,222,365,543,820,942,491,948,888,788,515,568,543,228,893,427,
652,035,091,003,540,272,175,184,372,577,512,111,607,423,415,835,259,104,925,
337,131,789,731,841,168,462,611,503,812,287,091,959,141,111,394,178,618,899,
410,620,240,853,637,872,141,254,612,788,121,128,721,599,579,778,523,617,194,
575,579,156,387,974,130,065,177,757,269,868,468,145,483,560,466,266,600,773,
960,062,749,556,394,030,365,875,090,279,315,594,877,373,728,064,298,194,972,
196,989,912,372,758,749,528,665,061,229,005,499,873,000,180,166,693,141,242,
418,729,026,731,572,575,243,810,178,556,419,848,167,968,146,115,330,487,388,
544,420,521,132,394,307,951,512,535,282,082,661,986,105,560,968,239,027,815,
091,936,885,142,223,755,152,682,107,010,977,938,022,407,936,416,290,545,407,
858,207,763,390,556,621,996,580,451,476,172,906,818,713,346,552,417,824,058,
480,222,587,029,256,884,722,747,606,228,683,515,906,738,711,920,444,275,360,
840,792,292,773,099,852,285,879,915,120,470,016,386,055,247,708,883,065,626,
781,666,101,415,890,076,044,372,530,906,748,863,900,664,631,080,535,286,817,
808,687,687,972,130,853,940,827,317,061,712,743,790,200,505,581,415,966,496,
316,746,853,908,121,415,423,900,769,499,305,495,062,314,161,286,999,761,027,
388,580,587,909,771,598,675,015,683,585,670,300,780,798,642,085,054,400,964,
915,945,943,838,328,287,473,186,352,983,765,599,539,197,033,565,749,232,505,
016,152,318,370,171,231,992,638,666,941,104,823,286,800,363,018,230,269,254,
831,790,775,977,158,060,092,475,760,594,535,585,771,739,267,571,061,701,754,
513,500,327,134,034,942,694,505,126,093,095,090,674,794,210,392,481,070,852,
388,447,995,381,364,869,975,549,221,488,305,969,455,164,872,525,387,970,734,
167,975,283,653,691,018,477,310,115,142,682,981,450,416,102,938,101,087,815,
719,901,069,403,300,115,782,447,459,072,611,393,600,961,630,888,554,501,133,
374,323,517,204,919,320,680,612,336,697,842,213,443,517,525,407,697,592,139,
290,710,288,698,094,255,216,454,820,527,377,295,635,945,606,753,073,695,436,
606,969,909,352,493,772,136,628,977,166,368,805,183,553,919,099,488,570,572,
765,808,525,314,434,275,111,570,476,700,674,665,793,512,625,363,704,313,100,
680,888,869,550,093,413,157,964,732,154,805,427,342,018,005,908,825,240,847,
658,057,224,942,288,533,123,129,939,414,136,286,058,246,908,491,312,815,873,
934,444,314,050,394,093,983,582,557,239,456,434,016,477,345,903,955,811,840,
561,013,757,775,361,216,068,096,680,924,826,174,138,522,824,825,786,666,296,
095,247,659,525,341,276,796,764,196,866,627,892,437,631,927,319,290,382,057,
025,985,194,356,472,096,327,829,770,249,198,732,591,329,714,723,343,823,550,
977,044,377,516,257,152,088,818,706,167,476,164,882,795,647,729,845,035,071,
908,471,314,000,289,922,343,629,290,779,942,918,970,137,985,300,027,192,297,
106,444,590,474,478,318,416,083,429,354,671,705,829,893,253,598,706,747,603,
372,052,439,117,949,830,969,594,812,704,514,224,270,191,369,128,186,770,701,
581,550,810,113,012,180,030,443,565,701,353,035,305,193,188,987,665,027,021,
487,984,318,798,277,937,732,681,506,312,241,107,903,417,282,929,960,373,471,
308,175,468,692,562,449,747,864,654,998,513,057,196,803,871,237,369,380,489,
005,421,075,966,612,896,408,884,666,999,731,930,135,393,677,503,448,888,095,
167,061,369,604,519,123,971,968,272,125,652,149,600,941,981,221,762,996,644,
973,346,001,136,239,790,095,929,790,447,361,209,549,496,866,338,309,141,846,
375,846,791,513,180,834,529,670,481,668,395,098,564,488,534,695,724,633,740,
104,698,580,604,516,932,455,945,346,911,868,453,965,022,422,262,220,977,206,
421,473,831,773,986,399,021,493,719,035,662,275,765,690,101,937,700,737,040,
607,771,802,588,630,884,388,778,548,763,915,778,771,739,118,316,488,661,619,
434,898,952,990,965,438,587,042,173,878,906,688,090,916,030,874,851,477,143,
434,623,391,814,334,848,031,732,351,455,640,588,605,807,713,512,773,646,443,
770,144,078,212,324,495,590,265,133,804,347,143,146,175,286,978,764,660,409,
747,168,825,946,332,819,301,390,017,560,936,022,306,048,497,993,858,311,707,
056,002,718,238,161,553,605,439,208,580,813,313,505,137,584,987,969,744,053,
319,322,609,127,283,896,146,745,753,731,715,630,159,470,677,166,632,906,434,
703,302,130,638,648,651,773,075,467,197,212,715,486,572,882,163,824,232,248,
472,029,749,964,814,047,203,924,514,485,998,415,239,211,253,907,820,402,670,
923,132,380,970,199,262,959,070,541,077,770,017,690,278,986,720,434,784,531,
738,537,138,806,611,875,400,286,556,684,939,138,843,976,700,518,287,739,920,
860,170,827,614,638,379,656,805,807,958,096,064,199,622,867,205,966,672,655,
572,166,327,342,559,998,463,245,753,622,644,506,368,787,411,757,521,565,048,
399,368,266,941,590,694,931,133,376,973,244,333,691,483,773,373,419,747,839,
322,655,804,322,457,364,883,375,931,626,087,994,749,671,300,068,572,586,279,
518,201,393,171,055,109,336,799,669,543,303,160,933,909,119,126,269,285,926,
997,914,494,778,418,357,183,611,105,077,434,416,651,375,677,674,752,822,120,
587,868,519,972,699,865,003,725,352,182,003,804,505,372,086,931,145,357,618,
220,738,346,793,787,948,292,347,257,929,582,753,224,268,179,444,788,852,555,
539,249,522,451,711,368,555,579,304,836,099,725,167,241,358,553,866,088,572,
213,703,319,100,718,367,485,931,136,630,914,113,725,273,472,377,016,677,645,
822,362,327,802,129,905,399,171,472,322,255,045,832,448,565,140,088,984,542,
810,498,838,700,161,089,632,250,134,836,146,390,336,071,720,418,466,186,458,
376,336,553,231,943,314,840,265,482,821,782,474,595,910,872,012,440,003,014,
191,629,978,696,314,791,769,463,118,535,658,956,548,066,932,524,096,152,500,
082,884,456,617,942,091,498,947,599,475,788,335,275,319,299,317,462,820,980,
680,552,650,725,267,237,829,085,532,989,027,406,188,498,795,869,624,714,642,
755,552,261,584,069,432,931,332,289,877,211,662,567,961,124,740,148,002,149,
520,404,109,622,540,552,212,089,134,231,545,331,489,196,592,576,054,765,777,
272,372,640,611,197,295,753,664,267,393,716,196,130,049,610,655,155,832,248,
220,008,115,372,335,660,637,359,118,680,581,611,862,726,983,979,865,810,485,
171,398,861,321,040,994,081,285,273,744,052,626,972,875,877,674,719,858,087,
962,029,915,143,230,235,672,353,244,660,981,890,727,055,745,898,477,891,408,
111,519,898,948,642,519,946,246,783,644,357,608,600,872,263,761,293,477,073,
813,783,230,457,220,473,172,426,103,178,669,433,165,897,567,651,820,973,475,
397,699,218,759,615,480,306,627,169,081,639,857,337,265,862,604,257,045,953,
146,958,137,620,917,377,097,652,346,496,577,166,050,080,569,492,851,909,539,
082,240,459,561,097,156,380,767,243,176,363,419,595,492,087,515,218,183,908,
445,713,477,372,130,706,001,620,495,387,691,122,639,326,786,504,232,531,562,
581,979,626,267,175,065,743,306,806,752,184,701,021,326,162,673,162,595,003,
301,299,771,447,407,478,186,131,789,492,819,135,844,490,165,801,772,412,078,
526,168,415,568,749,218,065,467,075,269,061,307,937,795,099,660,556,677,003,
230,829,581,740,981,408,952,322,666,166,289,611,848,546,813,282,370,141,123,
448,357,245,796,131,173,139,805,768,505,713,379,086,092,806,116,887,202,731,
131,753,729,964,545,908,131,053,737,768,270,652,880,800,309,752,321,393,524,
659,893,145,818,040,901,709,332,940,919,315,751,379,063,743,628,953,797,954,
630,966,849,961,376,441,729,133,782,586,076,638,153,331,601,052,465,665,280,
239,175,977,032,969,953,065,073,021,225,955,584,264,919,717,745,667,301,351,
334,207,065,775,765,085,846,081,484,204,146,745,763,453,251,805,854,273,984,
969,619,499,824,230,678,589,168,789,291,639,217,592,495,565,832,468,359,553,
765,487,577,715,379,864,764,269,365,421,900,109,206,782,072,674,871,386,903,
819,950,771,300,576,353,785,708,374,565,509,405,996,389,738,304,938,124,124,
123,099,808,506,661,118,551,600,290,420,009,860,399,721,427,663,171,933,113,
646,394,704,247,184,574,201,859,334,774,493,566,990,560,085,205,386,966,883,
172,650,277,766,636,111,698,315,981,403,170,418,040,926,343,285,548,720,029,
897,582,208,993,538,799,186,366,847,985,327,847,917,078,852,246,952,108,634,
531,802,021,068,421,955,032,889,177,118,746,492,456,016,610,745,636,006,598,
736,378,589,922,627,988,512,980,214,096,169,427,666,816,546,771,458,441,201,
462,992,093,242,382,253,302,057,298,770,211,653,220,541,115,496,519,511,199,
940,353,238,683,889,084,990,320,437,540,080,030,337,924,021,446,048,264,459,
460,189,218,510,508,546,151,638,726,657,313,588,177,765,062,056,124,457,747,
571,096,388,548,583,348,407,680,490,527,839,665,816,832,008,158,588,108,987,
119,115,951,352,982,445,472,435,451,870,510,059,625,433,531,451,744,105,720,
852,731,933,923,835,021,725,369,458,324,849,061,552,043,501,476,735,921,217,
077,109,183,710,877,994,703,128,556,751,710,730,734,127,503,210,459,137,108,
469,966,456,731,822,256,859,633,188,065,249,286,927,282,736,665,317,327,357,
195,132,846,109,111,180,889,966,326,645,812,748,686,171,206,626,773,379,413,
762,889,407,622,271,856,968,114,963,265,381,337,806,863,202,228,343,331,255,
387,809,657,418,242,450,834,218,810,104,258,034,169,110,396,882,145,173,704,
766,819,556,629,693,516,211,539,234,174,482,593,768,631,119,166,923,957,888,
941,309,006,923,272,541,563,666,642,980,450,997,994,794,679,927,677,208,641,
926,238,541,149,133,327,494,858,315,143,670,064,539,342,449,979,423,253,171,
523,616,311,742,348,438,517,799,281,254,895,172,834,990,011,073,177,844,120,
783,671,170,625,969,440,879,341,481,543,507,492,840,637,477,576,982,688,515,
289,288,673,664,353,851,560,150,766,573,946,043,325,313,401,243,343,492,636,
995,373,545,558,315,829,910,597,613,432,873,213,166,538,004,924,655,768,801,
013,521,175,362,859,205,337,907,425,231,318,567,539,410,038,795,854,084,435,
923,088,522,071,273,244,446,964,799,722,661,266,044,965,555,346,993,520,315,
887,751,372,314,491,778,181,174,765,400,686,802,544,663,711,322,509,904,845,
959,238,076,343,075,014,967,027,226,424,648,685,442,538,832,607,730,994,739,
019,457,957,608,473,317,155,098,054,288,243,873,105,189,741,888,359,686,326,
898,391,218,241,245,623,022,757,420,959,779,668,590,729,965,296,344,350,752,
393,545,285,057,976,471,246,578,051,912,277,667,166,667,618,538,152,271,007,
723,036,034,065,712,910,730,666,110,138,838,615,169,361,557,911,430,503,775,
227,912,546,510,779,082,067,307,319,458,796,181,692,206,293,147,566,094,925,
421,347,468,331,955,782,357,857,167,991,563,778,311,367,240,468,250,549,902,
890,119,877,921,947,471,870,883,776,853,677,401,995,259,265,710,656,700,773,
007,484,816,241,240,117,963,976,752,056,173,461,305,493,476,948,484,199,086,
549,024,638,498,499,373,934,059,488,952,343,513,272,961,961,149,497,331,604,
398,081,084,991,114,606,758,517,966,690,429,643,676,888,818,126,365,266,793,
233,491,409,013,830,770,489,884,151,027,603,967,051,174,578,018,813,550,344,
699,434,778,683,245,089,121,914,058,008,770,923,837,600,310,268,959,748,477,
922,311,687,230,556,764,438,999,129,207,907,836,875,747,699,972,385,029,428,
295,930,680,834,870,579,777,715,188,999,519,940,983,041,384,585,478,959,710,
412,763,152,711,500,797,145,890,061,793,057,062,027,796,626,843,560,593,557,
871,128,272,094,052,211,195,168,962,098,552,770,086,093,572,805,955,741,105,
224,205,793,462,990,810,129,060,218,453,931,523,894,251,299,288,610,429,181,
702,400,173,481,912,308,732,921,246,941,052,503,425,231,632,912,899,780,886,
677,350,171,123,715,350,897,653,465,366,685,916,252,654,115,088,354,615,518,
335,771,441,677,396,522,523,400,787,902,799,917,388,682,934,690,131,873,516,
106,986,874,821,178,435,301,745,321,841,551,695,454,363,286,350,604,965,488,
976,831,337,109,646,324,815,704,086,828,773,364,377,458,517,827,580,247,845,
014,714,406,032,513,675,289,434,578,416,554,473,010,683,742,156,964,700,690,
212,136,299,650,638,476,713,544,082,999,334,977,721,089,467,052,595,330,386,
514,910,003,657,494,906,082,261,238,171,584,756,964,437,075,335,412,747,654,
645,234,059,534,147,565,001,042,159,493,849,148,792,925,768,945,954,057,326,
705,685,487,350,334,163,579,602,206,557,700,286,962,915,000,334,820,199,141,
959,331,667,947,456,431,737,991,287,205,365,198,431,601,696,621,770,639,329,
711,352,237,488,879,576,217,787,098,551,192,451,702,405,947,709,584,739,273,
361,965,534,116,664,045,054,379,568,182,315,606,503,100,496,260,161,404,510,
160,001,802,024,810,502,410,506,113,614,158,588,931,086,686,634,661,657,719,
867,416,431,644,763,004,155,805,961,218,698,488,107,669,366,228,190,394,833,
606,445,616,863,737,770,385,621,921,846,983,195,247,357,310,866,679,263,727,
680,670,063,451,393,727,790,756,780,951,974,106,486,425,747,860,808,498,279,
335,251,439,151,087,967,108,402,309,727,722,161,278,599,363,316,838,348,651,
887,120,898,702,631,235,583,640,427,001,153,316,878,366,073,744,557,043,483,
356,937,281,107,100,822,238,549,926,863,715,847,502,329,107,929,078,302,601,
330,999,752,609,340,320,229,840,133,144,019,320,705,302,228,059,966,498,011,
282,252,352,627,971,571,848,823,249,698,753,673,200,525,665,525,576,156,819,
852,881,848,717,679,591,756,652,252,657,236,066,879,704,121,842,507,143,584,
538,716,770,155,887,063,329,405,073,808,222,367,241,254,386,339,584,162,863,
984,709,821,970,513,983,983,357,112,384,404,701,468,715,386,785,064,077,707,
045,699,520,156,234,662,195,114,010,966,482,413,582,148,206,965,868,820,526,
863,541,335,016,574,098,036,527,695,585,850,611,189,782,765,474,727,994,353,
010,774,166,219,705,852,213,946,165,965,016,439,131,327,591,193,626,029,997,
097,843,456,769,653,385,210,359,625,493,393,403,200,836,654,476,386,009,331,
127,243,909,112,191,431,423,459,881,561,127,847,771,039,642,182,345,893,330,
872,933,687,647,668,418,465,341,391,100,733,565,415,188,317,575,045,856,882,
154,341,324,559,331,330,748,354,389,192,762,251,853,575,220,486,538,901,760,
283,585,095,286,522,947,034,183,827,285,163,824,166,044,617,636,461,099,133,
548,395,855,737,818,284,995,481,461,710,541,883,715,606,567,922,506,939,964,
213,956,324,579,478,824,235,941,282,603,124,772,142,457,373,902,072,126,973,
538,650,470,137,549,465,533,191,946,662,157,219,329,818,684,597,316,693,329,
432,503,827,800,373,565,076,318,744,357,212,720,152,240,979,803,920,740,416,
494,384,389,245,258,233,100,356,751,163,125,690,835,484,464,516,446,260,058,
980,407,089,296,614,158,383,482,033,037,707,339,962,510,863,584,553,087,120,
818,743,758,501,509,528,076,239,669,602,142,423,907,335,281,885,882,164,524,
709,322,196,027,137,237,225,469,683,281,335,485,686,453,171,329,519,209,557,
625,839,071,875,818,809,528,808,742,350,707,905,378,315,254,522,203,365,480,
950,735,199,616,245,891,394,328,106,278,072,033,234,377,338,837,362,292,478,
822,888,071,450,480,597,888,124,136,094,057,407,339,629,940,957,808,611,932,
971,724,739,271,305,823,562,249,795,860,945,805,505,875,669,703,355,542,065,
240,204,352,025,122,707,589,069,698,788,512,366,533,152,532,030,233,580,481,
924,242,122,475,108,956,014,738,621,197,274,330,548,053,640,143,843,479,478,
809,619,034,585,278,353,326,095,940,306,368,977,128,600,416,070,845,633,505,
896,690,781,142,530,788,937,147,737,435,872,245,777,701,327,111,696,912,200,
228,206,184,854,125,415,816,786,609,579,979,659,926,912,996,354,119,636,698,
462,332,492,385,754,778,136,023,417,068,260,270,178,446,578,026,584,731,691,
437,190,252,855,389,346,035,699,981,012,295,011,651,361,320,526,723,253,290,
463,774,416,462,994,802,350,582,743,985,660,220,874,429,220,830,278,169,213,
321,191,857,059,471,602,946,499,790,066,476,431,428,314,697,902,710,956,151,
058,636,895,515,035,403,416,966,871,977,321,771,092,224,748,796,324,440,187,
334,789,138,468,486,545,173,789,893,521,576,435,240,011,435,808,528,762,945,
999,000,255,325,325,364,145,193,386,372,745,602,683,584,354,413,558,622,301,
921,558,589,458,791,261,919,967,663,666,365,422,832,035,090,648,154,781,878,
948,548,400,195,503,376,478,829,413,186,528,956,167,308,956,503,419,448,357,
978,733,223,278,713,808,524,484,889,897,124,891,152,673,482,309,405,221,507,
549,668,991,012,229,779,813,665,528,316,042,625,933,794,474,331,664,887,877,
162,448,602,104,059,483,424,839,217,876,892,776,329,941,824,632,808,766,664,
285,343,862,259,913,305,415,445,392,003,888,823,312,101,750,488,876,003,979,
522,205,327,870,840,209,843,357,476,441,457,486,762,813,478,601,026,757,467,
518,458,105,750,153,663,988,586,424,951,624,564,223,403,630,038,980,705,015,
785,826,107,086,903,815,926,362,941,443,246,758,068,017,638,425,781,383,956,
644,420,275,423,316,718,693,067,056,117,573,036,150,722,985,904,200,542,488,
808,484,927,719,268,410,472,611,103,654,715,910,848,686,509,390,782,051,573,
330,308,200,417,015,860,239,996,837,605,315,838,119,000,788,507,325,305,366,
917,007,626,049,909,259,189,505,743,296,903,978,467,330,027,148,831,647,157,
216,184,444,853,010,958,192,146,436,351,664,767,980,038,660,633,787,390,293,
548,173,197,385,453,677,972,904,979,264,798,184,316,277,197,922,775,109,441,
392,064,371,778,445,951,222,716,580,367,629,782,213,560,784,972,995,612,879,
040,233,745,528,841,437,283,848,461,712,778,734,854,583,525,107,888,917,588,
586,760,748,796,455,212,625,259,835,873,830,306,138,656,205,389,018,581,525,
293,563,408,460,717,399,249,284,054,728,550,053,259,682,626,352,893,310,642,
931,634,052,570,781,651,222,874,360,226,749,508,995,816,912,850,086,322,096,
238,306,379,062,352,115,333,945,054,263,000,648,134,650,087,176,431,967,554,
008,666,974,176,413,012,440,933,227,531,070,691,731,774,853,300,154,052,125,
552,861,903,033,815,682,611,676,891,228,372,696,291,612,680,178,980,643,209,
844,175,234,019,327,754,255,015,554,181,444,395,678,962,671,876,796,858,686,
007,931,751,688,193,820,739,929,492,452,596,939,077,241,431,219,998,208,836,
931,590,048,825,548,993,251,015,291,564,066,960,565,473,896,173,314,736,133,
387,233,710,992,840,242,763,592,378,208,467,175,699,782,571,173,369,708,498,
895,854,515,963,426,710,955,915,661,754,555,838,605,020,368,032,884,703,397,
758,276,952,033,441,168,433,894,599,623,692,606,590,570,232,711,182,304,115,
639,943,499,501,644,115,572,346,568,366,867,284,609,514,876,704,184,493,958,
287,002,200,935,869,447,718,686,321,524,853,165,929,086,507,457,872,138,642,
299,151,008,532,738,142,230,943,691,854,025,584,334,672,392,109,919,280,536,
768,085,183,002,455,439,399,742,217,985,789,434,347,233,315,702,351,358,765,
587,110,990,190,674,460,465,534,348,980,913,848,107,850,820,431,729,225,708,
117,260,947,571,793,762,729,805,701,250,116,443,346,715,050,136,262,747,361,
395,415,477,502,650,455,940,567,131,178,769,523,389,804,518,936,550,144,373,
505,212,808,771,377,241,797,722,952,366,897,044,901,912,084,357,429,039,745,
344,467,678,667,791,053,391,661,591,534,711,482,368,472,703,360,857,196,494,
158,033,008,352,003,131,697,449,918,387,882,558,214,033,053,486,242,037,534,
281,053,921,791,289,251,411,746,285,368,501,422,331,465,218,397,891,874,293,
000,963,697,222,234,436,346,859,811,851,038,366,595,670,241,444,810,630,833,
535,454,036,207,724,424,525,912,987,108,050,727,006,014,925,295,598,514,553,
573,479,446,911,898,719,363,871,035,895,851,147,482,981,835,249,757,689,624,
976,466,401,470,271,505,774,669,533,464,920,409,830,764,564,473,797,626,019,
453,565,757,272,786,662,248,222,223,574,557,757,994,143,407,081,469,440,305,
663,893,483,298,062,722,027,498,791,087,258,503,212,731,121,886,696,346,786,
032,879,881,853,398,812,008,517,482,735,722,918,430,364,402,913,292,294,976,
235,187,207,700,028,429,877,713,218,952,940,369,529,254,146,941,444,380,732,
485,196,268,169,076,923,989,949,246,047,807,707,637,553,555,580,325,022,198,
709,590,632,023,146,064,557,374,099,000,895,715,970,475,505,105,172,962,708,
380,909,311,540,189,980,855,426,499,128,544,686,352,724,220,350,513,939,067,
139,110,356,365,297,672,698,379,980,189,783,189,121,412,419,879,441,939,999,
924,603,920,664,013,017,658,550,280,201,091,068,401,360,029,490,816,611,589,
174,456,535,244,755,061,783,280,009,939,081,559,418,887,072,235,329,158,592,
445,715,708,765,385,594,584,293,196,441,577,059,903,157,649,523,686,854,764,
651,520,337,282,533,831,921,389,896,435,982,228,878,654,993,609,982,765,330,
290,544,889,974,030,853,561,416,589,521,067,124,656,255,621,898,614,562,131,
910,891,764,580,194,529,715,574,267,497,974,186,053,220,874,422,995,315,433,
557,936,765,191,024,641,067,618,029,700,647,326,176,112,335,753,869,710,531,
545,233,765,228,236,806,125,152,138,521,510,589,367,389,141,692,183,344,332,
127,748,254,910,047,009,988,429,637,307,200,931,868,287,035,396,816,475,719,
885,374,842,797,860,033,290,082,002,159,868,476,672,416,165,615,109,129,978,
724,939,325,548,132,339,245,656,142,154,878,368,287,407,993,809,837,456,200,
875,549,498,257,261,061,171,570,828,817,107,253,144,684,862,648,417,514,775,
167,928,530,980,828,703,091,567,236,809,652,333,005,171,504,937,242,255,776,
225,336,295,550,166,137,599,930,563,393,038,628,466,588,772,089,560,244,484,
232,403,950,653,211,529,244,433,971,008,642,015,864,324,044,539,837,711,641,
223,394,845,147,494,315,143,876,108,447,298,916,000,226,562,921,680,595,924,
357,498,356,266,778,678,770,206,057,428,152,976,025,818,167,803,048,365,016,
034,706,473,059,421,874,187,562,560,029,922,911,973,696,266,783,013,056,050,
358,821,256,126,721,628,094,561,857,613,194,880,117,999,085,988,953,749,420,
403,245,790,101,685,846,949,014,373,955,933,773,786,679,026,385,284,504,235,
382,211,286,159,053,193,180,556,543,181,946,950,543,041,507,848,144,366,708,
670,813,193,629,471,981,557,304,478,906,453,915,932,169,241,621,364,508,605,
423,026,575,767,688,658,344,037,289,874,600,922,418,341,880,514,031,751,796,
085,396,586,801,612,615,714,376,917,527,017,868,829,278,258,054,500,703,842,
373,446,971,316,163,350,310,494,031,503,550,418,427,175,515,318,443,302,724,
455,139,072,336,083,750,893,547,351,057,509,828,439,331,224,530,209,680,740,
238,046,061,773,145,027,438,407,432,753,103,211,414,586,311,321,656,847,031,
350,964,658,653,340,772,539,935,279,496,940,640,268,609,976,512,768,864,219,
843,666,549,076,066,027,923,384,522,090,397,699,671,904,815,061,703,602,633,
439,343,343,064,684,908,010,962,794,143,263,503,887,112,152,323,708,902,925,
275,845,284,112,590,863,802,446,002,432,697,062,117,821,295,362,867,110,906,
802,850,691,510,387,465,289,300,338,746,117,636,243,356,840,362,585,101,375,
653,326,887,945,583,075,079,988,400,940,602,449,219,374,614,445,079,367,152,
561,762,042,067,714,483,437,391,540,647,473,372,799,173,383,642,559,633,933,
104,601,150,164,698,543,897,063,646,542,078,055,266,926,029,449,653,411,141,
380,986,763,044,262,754,787,099,508,727,133,096,255,086,272,889,385,630,691,
338,054,322,323,575,770,649,665,902,443,665,764,863,849,687,001,748,180,524,
671,105,808,471,578,226,549,585,454,091,363,056,953,601,124,995,026,024,702,
925,536,066,381,995,801,139,816,581,897,964,948,020,952,846,719,401,321,983,
951,044,840,973,177,151,113,339,751,603,138,290,170,319,807,399,358,553,246,
163,829,923,368,932,138,200,405,289,006,939,322,157,332,971,897,856,194,285,
953,363,422,885,460,653,752,608,709,002,342,768,997,347,227,531,763,411,058,
649,828,536,772,071,303,750,534,852,839,140,308,074,111,419,039,478,050,252,
114,372,625,370,824,045,955,302,457,495,378,043,849,258,679,007,893,644,856,
690,303,394,632,198,490,371,841,361,005,278,945,794,309,103,767,250,897,554,
683,770,889,640,792,690,944,056,242,940,661,096,877,442,943,602,343,621,903,
359,866,792,035,691,498,542,314,227,101,920,629,330,189,451,836,139,709,034,
300,894,602,851,962,732,754,016,962,315,736,517,648,366,940,378,983,408,785,
613,126,753,262,586,632,882,601,377,386,946,231,378,438,908,743,159,770,021,
183,605,433,992,465,259,408,395,037,823,540,030,078,094,624,542,274,418,264,
152,577,158,863,958,172,761,652,607,551,345,476,040,319,117,526,641,501,786,
685,310,373,100,259,723,790,778,830,797,577,089,318,689,134,175,922,734,595,
531,955,216,616,349,496,242,044,734,191,935,010,726,612,516,282,383,643,666,
808,545,107,313,432,332,805,873,145,789,971,357,932,072,915,231,148,540,037,
040,322,502,618,569,450,933,852,711,322,384,436,123,151,122,158,134,063,452,
705,747,864,498,136,666,749,096,102,150,997,943,217,676,240,919,487,256,931,
425,455,084,817,681,836,381,037,998,903,681,652,827,199,160,104,377,456,444,
628,168,916,247,220,921,276,522,228,428,317,129,878,495,368,044,836,202,604,
559,701,742,895,108,300,104,023,250,990,743,869,230,733,740,567,185,332,573,
333,209,658,920,909,352,198,007,876,112,580,438,328,165,012,170,803,467,170,
655,799,043,444,991,283,254,048,434,385,650,891,760,872,332,066,477,644,870,
183,447,381,848,135,763,266,725,852,753,684,822,873,857,875,168,557,467,176,
120,510,647,110,564,628,765,739,377,142,684,869,675,369,430,354,681,683,451,
352,822,203,559,842,072,820,735,618,236,184,898,866,372,307,009,976,195,958,
252,176,711,618,263,696,885,627,089,506,157,952,477,327,309,505,367,270,514,
048,827,398,166,914,668,923,587,186,624,697,581,311,581,723,151,077,678,628,
206,232,612,037,933,236,219,320,306,309,904,948,597,665,745,937,195,247,119,
341,156,466,296,913,416,320,233,833,506,745,635,824,350,936,370,859,139,629,
910,557,490,006,090,907,899,158,541,762,384,131,123,544,912,966,744,296,396,
422,516,118,367,126,661,331,328,931,844,338,685,153,302,426,452,769,353,680,
325,261,609,718,167,206,723,718,126,375,305,018,670,986,348,093,737,309,219,
580,887,431,170,761,438,223,144,429,461,235,165,369,138,314,518,541,793,225,
029,437,899,951,586,155,467,984,768,705,516,974,325,047,024,801,919,043,352,
764,846,254,668,073,777,710,335,708,976,265,260,636,067,879,860,540,061,871,
990,025,128,432,972,225,954,366,756,083,325,406,972,808,097,348,561,987,958,
847,897,838,059,897,831,555,891,866,356,382,775,978,344,898,112,548,159,508,
479,710,943,584,775,246,026,872,523,323,760,207,649,099,217,976,515,827,984,
234,816,733,016,225,241,822,239,409,479,213,313,188,649,586,168,144,163,591,
311,381,602,543,314,822,720,783,947,801,298,704,309,536,287,332,187,344,302,
342,522,952,758,296,166,436,538,206,421,605,520,468,041,487,945,211,350,252,
254,055,046,326,667,538,698,568,313,991,960,154,760,865,447,441,295,141,588,
572,027,948,952,798,804,847,737,312,176,160,994,567,649,059,608,289,801,687,
758,718,022,964,416,327,663,664,556,314,975,639,236,801,657,276,574,509,853,
928,773,250,688,967,145,234,710,122,076,743,688,377,739,037,476,174,418,075,
417,630,269,335,802,318,493,457,145,882,695,332,642,632,416,495,097,311,878,
233,209,282,761,511,599,901,391,046,315,324,854,796,922,770,857,520,077,635,
104,517,869,780,057,159,496,399,760,754,721,889,067,806,513,411,115,614,428,
316,759,275,482,670,763,387,678,367,459,206,398,113,493,405,436,172,383,014,
638,581,273,633,186,983,521,504,393,409,105,650,550,504,746,418,943,907,273,
394,455,913,542,733,134,423,005,784,444,956,177,147,289,102,626,475,972,022,
402,531,549,831,451,590,419,624,437,796,805,066,296,008,887,576,026,126,522,
889,079,331,256,700,835,486,613,999,886,457,136,648,477,519,715,510,295,438,
569,256,350,386,101,218,010,528,347,559,339,573,215,098,259,382,243,739,255,
131,590,118,288,187,403,258,186,594,349,304,484,005,001,985,670,579,109,244,
927,569,724,946,585,097,796,453,938,094,193,766,154,197,250,976,764,415,369,
153,072,641,853,866,620,517,764,928,552,420,548,494,939,821,232,575,736,321,
741,274,034,801,963,712,897,150,136,251,907,014,933,996,472,049,357,461,690,
671,546,156,381,315,274,100,923,577,450,172,893,702,474,817,733,971,901,239,
864,619,247,520,742,320,967,467,162,236,421,489,645,793,778,305,032,903,100,
121,662,066,606,209,987,453,779,556,721,934,381,855,831,261,620,336,647,729,
930,038,344,362,644,888,483,784,986,493,407,681,461,591,545,914,624,335,986,
735,537,194,236,208,858,706,836,589,134,989,886,932,685,610,886,286,304,351,
721,001,936,638,523,156,538,592,754,902,332,723,743,778,563,749,750,914,953,
808,351,780,236,217,297,068,773,515,546,036,487,033,014,723,790,236,828,235,
396,664,123,104,462,528,230,847,976,656,132,672,915,999,949,832,938,710,773,
276,536,133,619,085,095,893,323,628,803,227,036,391,963,219,096,500,637,351,
858,961,043,885,967,993,475,140,449,829,588,483,224,329,734,793,558,536,797,
229,625,445,243,832,345,041,563,523,258,158,659,108,451,649,327,787,572,746,
901,862,154,429,356,630,121,842,748,135,006,872,992,506,155,783,813,165,387,
905,718,982,558,408,972,533,174,301,379,037,493,569,523,840,990,718,704,605,
625,558,789,507,962,567,596,311,427,482,591,580,408,283,628,528,828,528,485,
390,312,555,365,156,456,429,807,054,922,196,634,215,283,577,165,519,905,791,
168,733,638,597,394,567,413,912,178,191,707,589,450,052,814,637,537,286,821,
412,774,913,827,606,967,263,461,396,471,185,062,905,901,801,432,179,539,934,
000,985,649,732,375,870,908,682,350,457,704,280,891,105,594,689,510,045,559,
168,325,003,633,488,783,292,065,147,086,828,769,432,202,710,853,262,696,548,
909,850,249,375,729,008,934,517,131,070,510,534,449,544,412,439,506,875,946,
794,644,999,294,761,861,085,222,958,454,743,029,609,996,328,206,673,609,356,
154,832,101,873,925,152,009,968,424,190,697,066,468,498,218,006,517,928,887,
101,041,005,072,794,087,085,576,807,983,089,130,408,864,571,603,317,394,292,
824,583,269,155,175,596,973,308,336,815,044,983,591,924,086,622,308,514,218,
329,411,812,647,029,528,239,467,047,930,674,063,437,591,212,001,659,388,832,
535,948,032,669,480,515,567,133,157,054,833,573,989,849,538,964,377,844,034,
387,903,246,076,496,806,992,269,921,530,884,504,749,014,730,785,084,439,119,
370,955,392,623,438,911,024,124,086,989,772,594,330,400,855,268,452,973,556,
168,683,047,799,728,624,762,417,128,570,626,990,416,767,926,226,562,743,241,
661,673,442,787,225,825,056,506,042,586,717,161,451,255,884,990,607,646,884,
548,743,648,571,305,280,567,390,943,335,890,082,807,718,367,654,017,515,741,
084,021,814,438,437,199,465,198,554,530,707,667,472,612,202,090,501,842,443,
585,254,591,157,478,377,326,707,594,712,431,164,923,703,331,782,902,998,561,
368,223,181,571,379,836,515,258,296,894,837,817,827,247,615,001,038,021,760,
344,626,601,868,235,348,968,494,846,366,013,188,779,643,852,894,040,745,730,
498,051,251,422,386,166,203,100,580,734,898,341,051,258,506,468,344,730,791,
919,547,371,542,786,544,895,933,124,066,628,001,102,801,468,392,095,703,485,
873,049,679,528,722,635,399,391,800,833,491,218,704,688,820,597,182,831,237,
653,192,557,344,828,677,231,623,786,691,221,325,842,430,019,370,708,246,807,
526,908,854,675,090,683,579,891,841,160,896,911,193,146,242,803,683,707,189,
863,026,259,276,527,957,543,183,459,661,673,976,029,125,079,038,563,838,184,
652,158,327,504,751,605,116,489,992,006,039,891,425,090,291,375,000,778,694,
960,599,548,052,272,810,839,094,244,437,217,433,887,190,838,856,133,953,428,
174,707,428,206,717,943,725,589,042,196,033,952,526,515,889,246,946,941,598,
322,775,418,058,042,130,538,024,517,224,403,959,946,739,139,654,078,354,062,
389,022,213,844,117,652,626,611,719,889,479,864,941,684,824,369,107,553,742,
206,644,355,455,939,135,370,676,083,246,699,021,518,266,294,516,055,360,727,
409,589,801,813,627,822,216,560,658,024,467,964,192,112,990,349,302,612,962,
579,583,908,320,752,695,614,993,908,286,498,806,171,938,140,732,965,684,871,
362,714,666,377,640,524,646,456,531,298,943,629,866,920,002,902,595,739,534,
830,754,041,402,153,130,851,619,935,816,450,431,444,800,542,861,641,755,662,
758,553,898,770,552,191,325,568,239,063,004,261,563,702,660,961,129,020,945,
077,167,999,752,925,499,447,896,568,277,825,565,537,149,860,358,899,454,673,
996,925,870,121,564,685,647,113,602,698,632,282,561,072,256,216,193,929,620,
024,699,878,603,716,798,768,101,981,996,787,428,587,915,001,042,234,188,263,
220,143,784,257,768,022,031,665,905,099,840,675,224,853,787,839,291,072,590,
730,485,581,713,976,311,413,058,719,325,635,359,347,923,055,334,934,420,710,
131,042,526,690,695,174,851,445,243,771,961,359,904,034,668,330,412,163,153,
747,251,554,728,145,963,373,490,338,542,409,784,358,372,659,480,776,113,283,
124,442,567,007,367,375,452,002,515,491,608,809,648,785,973,601,488,003,547,
735,437,079,922,501,939,381,561,832,282,281,482,306,049,246,722,220,550,963,
858,751,394,404,410,681,621,717,130,262,376,036,082,165,587,637,542,339,842,
206,468,721,302,533,185,548,579,029,532,630,723,208,493,787,188,748,052,754,
883,399,318,539,329,442,557,677,974,241,591,868,630,665,597,477,942,720,396,
192,156,573,666,860,926,266,683,829,286,458,750,789,996,720,522,688,293,531,
615,791,545,727,669,802,304,624,333,174,496,149,608,737,233,139,325,015,950,
393,502,761,560,243,583,194,479,246,584,360,253,751,049,332,206,517,113,227,
262,072,159,561,684,347,082,927,324,529,626,537,686,192,296,468,718,493,169,
239,847,472,121,903,081,096,965,571,276,970,941,568,261,883,568,261,632,805,
379,060,534,691,674,876,061,201,070,373,427,337,837,305,088,620,898,085,759,
883,357,459,805,772,034,475,294,591,755,486,966,116,187,033,179,101,979,024,
288,325,982,946,554,950,646,617,247,766,173,069,539,177,060,898,676,098,327,
530,676,169,919,171,792,035,276,194,155,564,562,302,379,947,624,121,670,308,
075,305,000,659,130,818,280,704,981,195,268,626,627,108,024,214,376,740,329,
119,681,334,798,013,358,876,039,604,416,767,792,568,653,115,103,788,266,406,
245,689,853,178,764,009,237,104,047,383,875,799,538,621,735,483,798,312,519,
623,468,230,606,434,239,280,896,471,966,711,991,370,989,758,441,704,714,446,
185,497,282,067,466,613,865,813,137,548,968,310,633,298,797,911,788,497,384,
911,372,316,264,016,506,842,850,156,638,853,474,833,498,765,010,868,700,236,
327,071,460,634,577,548,276,835,967,004,550,922,094,147,351,366,024,245,783,
674,501,917,078,424,213,044,178,104,097,992,282,493,420,770,270,400,033,606,
951,179,428,123,215,881,123,545,078,955,211,434,536,647,181,169,621,116,055,
859,438,403,761,614,470,397,811,128,743,759,532,005,124,487,940,429,916,127,
701,750,835,064,807,174,161,104,141,774,312,748,248,949,886,837,211,002,513,
663,883,231,754,378,960,579,770,883,268,045,818,468,960,008,972,395,455,671,
370,833,702,266,955,164,760,494,508,807,716,904,579,025,908,810,376,982,409,
105,316,035,210,940,321,013,207,133,218,994,160,488,647,824,449,354,929,048,
072,118,581,716,943,949,803,179,094,028,477,044,800,999,840,735,363,365,515,
483,880,052,708,064,562,344,653,279,244,406,844,214,192,288,485,683,100,791,
019,667,544,282,925,720,647,773,203,201,648,781,033,647,156,402,957,663,444,
526,137,912,024,289,814,031,754,415,113,288,400,581,439,527,533,511,381,539,
460,303,465,764,148,059,891,572,772,593,194,405,701,956,206,981,008,742,052,
479,019,491,398,503,221,734,887,946,161,671,495,373,476,448,395,287,829,516,
863,287,351,355,205,072,998,700,160,174,880,746,477,090,957,657,622,588,906,
156,399,176,197,100,092,560,384,866,836,086,346,545,832,426,059,642,062,564,
287,912,252,398,207,983,526,216,017,054,052,316,176,617,150,248,539,451,639,
049,865,717,985,000,803,652,846,847,865,510,977,567,536,451,560,840,522,441,
276,084,245,471,501,535,550,102,337,413,184,523,865,220,288,457,676,543,915,
364,479,699,334,166,935,088,407,829,485,919,176,618,692,120,789,102,003,129,
440,871,080,686,854,744,929,707,869,286,859,039,188,068,641,782,414,450,023,
180,215,385,845,347,621,881,021,936,588,853,395,948,473,876,981,146,973,955,
832,327,558,231,423,166,009,415,718,261,594,822,759,957,133,550,927,723,810,
178,911,773,987,458,120,830,728,732,238,416,578,071,092,243,285,384,426,128,
139,060,047,002,569,844,017,372,071,944,318,613,794,099,818,191,706,363,345,
843,634,564,936,398,961,521,115,344,748,062,797,476,253,233,954,927,379,195,
629,957,746,893,578,856,469,802,600,102,019,434,588,119,335,569,402,946,514,
209,098,903,188,920,683,520,623,173,586,513,385,496,710,326,476,274,823,349,
404,584,724,769,017,721,560,881,692,156,468,573,214,456,752,980,675,889,797,
928,369,890,442,192,696,189,794,973,702,730,783,794,479,646,452,665,136,148,
746,440,043,190,923,719,926,284,205,873,439,294,222,465,312,956,690,912,534,
830,689,095,243,245,741,890,629,779,569,383,156,539,189,381,728,179,256,585,
746,679,267,049,948,740,138,692,172,362,246,938,211,866,211,418,263,729,253,
488,438,875,342,948,074,214,796,306,285,847,285,274,238,684,081,690,564,968,
462,490,078,735,996,708,660,777,612,888,280,934,232,879,044,365,805,605,289,
795,953,721,152,584,255,081,843,891,521,992,005,630,160,970,778,903,749,786,
767,564,159,313,383,218,360,725,498,637,692,012,494,278,129,131,486,924,658,
622,727,565,309,848,457,631,551,105,807,327,304,705,546,655,819,811,420,785,
583,603,164,213,952,413,849,192,308,179,742,819,406,678,307,856,113,921,963,
353,966,563,648,002,133,436,539,568,647,478,155,435,335,720,954,832,552,892,
846,964,562,721,900,539,575,487,792,446,622,150,068,935,882,113,878,375,916,
686,943,509,482,055,868,945,055,051,849,420,909,484,304,358,453,163,310,217,
282,625,651,868,067,911,599,707,239,243,068,322,693,552,267,393,036,247,844,
386,420,038,491,666,155,102,351,766,976,756,444,499,473,555,729,213,697,447,
557,392,922,419,787,665,601,629,389,391,104,140,178,398,311,716,119,424,812,
301,863,062,300,449,856,846,085,110,229,195,029,812,114,145,798,871,966,277,
288,840,423,400,114,415,882,655,112,798,976,330,943,461,367,713,257,128,290,
782,704,505,528,849,411,664,354,988,797,276,444,027,477,423,139,753,456,071,
659,068,908,151,072,709,938,572,435,460,792,417,273,953,541,979,732,305,898,
000,604,792,112,505,133,566,335,075,592,842,923,680,404,417,540,537,485,873,
066,545,935,048,872,993,578,437,496,213,895,095,025,487,360,597,358,740,024,
215,601,838,536,907,943,052,522,075,464,936,944,696,221,338,417,451,454,848,
197,113,164,334,702,949,087,452,248,283,191,481,790,868,540,182,272,705,258,
540,875,240,839,370,096,508,736,154,547,106,696,202,564,314,371,517,892,412,
505,677,118,828,716,230,436,527,736,913,921,323,067,236,321,527,066,109,796,
814,218,518,578,408,216,733,822,397,758,180,548,994,109,932,005,990,658,128,
478,758,106,943,829,742,615,942,241,233,194,807,090,188,803,689,207,234,681,
852,150,260,599,680,190,520,933,233,973,375,247,104,364,332,531,317,324,870,
607,111,951,276,409,644,984,213,899,077,330,417,017,397,574,371,632,582,186,
880,015,479,108,041,826,305,560,292,073,065,542,789,524,662,395,304,372,686,
198,175,095,920,853,910,487,938,094,275,298,366,173,027,690,584,371,089,205,
251,831,057,161,841,563,873,113,250,793,101,586,298,375,513,030,211,913,974,
936,485,191,881,504,046,000,640,403,592,558,866,445,814,118,831,183,475,128,
659,574,980,317,019,354,142,967,281,086,342,601,649,411,345,685,906,745,809,
738,758,973,979,871,437,913,697,320,918,555,752,270,868,011,361,925,686,802,
314,956,456,128,726,426,180,940,804,970,201,445,933,453,994,490,147,853,578,
599,919,297,317,620,614,242,790,985,007,663,781,204,238,186,410,663,845,501,
774,550,140,199,944,810,101,553,997,732,834,373,106,775,732,845,919,004,996,
501,687,614,398,919,695,490,614,043,023,073,065,708,664,653,019,016,867,714,
366,174,181,751,470,635,516,026,798,217,080,540,542,183,087,119,678,523,193,
233,613,179,703,665,597,032,866,074,749,247,480,046,842,215,440,363,301,938,
713,793,169,967,248,231,062,415,650,420,684,385,717,126,522,108,856,836,456,
742,162,459,333,882,484,333,371,654,357,771,014,538,175,787,062,423,839,146,
774,108,733,102,256,356,726,270,336,723,616,907,151,564,615,042,876,219,679,
745,763,243,851,315,435,276,696,661,764,234,931,541,263,763,931,579,007,596,
568,076,857,657,767,386,023,928,309,698,152,851,027,134,861,386,516,961,054,
726,912,484,184,468,029,034,955,346,800,207,918,426,493,658,649,196,609,072,
845,147,219,888,035,283,724,472,645,675,468,939,070,233,963,065,414,107,848,
761,045,864,923,249,135,337,014,869,634,608,645,713,511,135,717,659,834,168,
422,848,302,502,173,338,532,194,988,718,902,369,690,030,064,538,846,363,102,
464,815,922,010,898,087,534,594,315,137,449,905,328,918,398,581,284,394,459,
679,305,152,685,227,413,693,260,569,162,836,651,496,206,545,456,707,463,065,
168,445,789,845,975,083,570,263,345,712,951,123,074,827,161,750,906,344,791,
403,909,135,156,581,295,042,183,802,394,419,457,745,451,870,234,105,282,855,
776,513,155,329,141,472,732,564,011,316,363,504,566,841,688,695,144,296,530,
502,752,817,054,624,901,953,896,712,670,175,682,211,645,139,381,790,054,097,
176,451,306,647,137,152,783,587,792,088,804,804,187,037,278,646,428,258,868,
043,671,176,956,048,702,736,034,034,612,737,169,312,269,930,362,811,270,128,
396,946,626,561,542,476,050,081,072,996,773,778,326,074,852,389,373,242,726,
822,095,385,445,075,242,429,137,102,328,619,118,784,739,409,357,281,530,563,
017,795,612,608,873,498,227,127,831,619,127,147,642,992,658,553,398,031,642,
755,518,937,018,488,314,528,634,278,689,543,381,078,709,352,660,767,439,050,
172,472,439,078,624,181,793,077,160,198,237,656,558,455,260,787,946,562,044,
874,755,857,365,677,974,352,041,935,946,138,851,416,792,882,521,749,015,884,
966,425,039,304,445,098,737,037,419,295,001,395,089,593,625,110,867,245,895,
517,241,598,036,939,958,981,749,325,739,050,034,289,122,364,567,670,691,461,
778,412,536,318,060,921,387,407,468,621,398,271,782,625,968,812,301,150,007,
554,795,349,536,378,519,200,962,226,089,685,531,685,007,366,849,232,993,700,
615,505,376,601,060,121,715,546,884,672,197,298,879,709,816,845,095,025,720,
156,818,299,018,945,142,719,658,818,351,919,722,424,849,372,577,855,419,705,
016,902,927,259,242,992,307,684,082,391,717,209,701,361,410,697,299,025,056,
552,853,125,520,749,543,359,146,277,438,425,359,302,482,233,441,017,335,932,
253,899,688,593,225,877,939,659,328,461,334,849,650,018,173,431,498,898,878,
393,770,599,848,077,776,899,465,478,502,267,239,414,169,297,200,244,726,030,
424,349,492,056,850,202,149,341,575,286,764,878,545,143,584,919,636,807,886,
093,370,319,166,539,380,965,184,794,907,101,696,049,459,773,294,088,758,097,
548,228,366,686,888,707,747,344,126,545,358,321,412,012,175,047,418,533,707,
817,791,130,120,517,949,545,529,802,685,280,603,483,722,145,172,576,542,107,
963,278,243,704,507,138,076,391,868,901,964,161,729,837,896,944,264,971,729,
603,010,854,900,341,663,225,689,790,630,990,923,599,688,616,286,927,904,619,
718,730,041,423,698,852,515,660,684,124,168,219,486,938,422,946,512,630,546,
948,795,559,782,805,675,088,302,137,803,064,999,349,447,292,036,146,636,141,
514,209,415,233,056,220,497,830,624,271,879,428,100,115,129,527,306,320,998,
402,016,032,577,086,532,298,455,743,848,203,911,890,587,714,743,806,474,605,
981,809,085,739,223,064,551,471,419,031,639,055,432,942,501,714,354,941,445,
060,261,073,759,474,333,477,797,970,741,141,519,023,752,477,140,525,849,613,
299,564,948,564,399,616,396,784,641,459,548,801,585,240,876,925,102,348,630,
327,095,519,020,877,351,243,594,161,296,280,845,932,610,508,730,538,737,778,
644,968,575,594,237,815,408,571,441,614,976,598,356,756,132,726,654,153,677,
114,241,516,750,474,420,525,644,235,778,996,282,774,246,474,287,382,432,391,
547,839,713,560,046,212,591,540,058,244,380,939,599,425,250,587,128,940,464,
860,446,143,271,220,592,041,275,744,403,699,974,133,983,231,741,482,463,399,
822,083,289,442,442,857,165,487,615,443,114,398,977,071,523,560,971,031,438,
615,569,188,067,766,988,671,256,783,599,853,407,164,412,230,812,645,355,984,
627,635,957,157,173,534,945,890,322,762,681,622,754,636,599,402,661,318,662,
973,635,354,556,208,637,431,169,648,988,666,350,777,172,079,043,646,613,767,
193,285,612,339,678,224,468,538,783,100,734,132,925,995,452,473,597,595,452,
503,111,173,343,257,502,072,458,870,363,218,126,118,349,317,014,307,569,795,
128,354,955,989,579,474,183,156,313,933,171,702,975,347,177,512,139,150,045,
562,666,550,281,235,231,894,999,725,814,971,228,516,676,042,409,374,677,720,
079,184,685,618,060,593,527,919,524,098,404,540,206,685,494,605,093,309,710,
849,832,395,873,498,738,975,695,401,129,490,367,933,555,330,279,995,893,565,
864,659,195,908,586,797,713,611,600,607,309,063,522,299,166,192,788,959,066,
687,801,706,220,703,232,934,601,146,578,917,190,637,316,133,643,403,043,907,
066,344,314,302,645,231,687,788,608,114,755,981,765,165,220,847,510,997,511,
333,311,179,831,211,258,267,798,222,591,713,386,385,311,319,365,065,570,157,
847,385,852,839,434,508,280,920,557,919,501,812,125,226,009,700,065,883,758,
187,196,435,462,902,318,435,606,000,667,834,397,501,217,722,550,607,346,977,
689,703,302,403,413,750,490,105,794,305,254,578,755,982,002,765,783,341,879,
717,008,842,008,831,051,919,589,550,823,440,367,308,917,592,749,298,301,508,
490,552,338,714,902,700,841,246,966,178,001,081,975,466,333,066,575,030,456,
312,957,969,576,528,447,779,954,709,909,442,392,612,360,595,879,803,020,469,
814,332,713,662,506,686,533,498,078,113,257,330,880,912,406,196,577,433,143,
236,467,121,369,557,115,865,693,961,793,139,458,708,071,213,035,226,006,880,
192,078,719,261,325,263,555,325,336,628,896,697,267,419,746,054,384,262,796,
579,539,497,790,978,059,423,532,942,949,409,316,690,439,675,791,376,188,140,
834,289,762,679,097,396,754,282,825,711,169,763,035,654,085,873,153,639,209,
784,777,070,689,935,322,372,990,357,095,051,090,441,615,775,495,571,964,160,
195,364,892,790,071,605,440,497,041,410,114,116,793,897,731,996,122,782,525,
544,252,747,444,150,950,317,509,987,345,908,910,422,849,524,032,887,519,403,
382,071,106,449,062,476,758,403,175,971,286,245,780,042,638,186,418,667,875,
016,584,070,814,969,993,479,482,233,678,721,422,992,721,493,209,251,619,901,
833,271,101,941,859,627,072,050,396,497,169,700,623,665,301,358,419,845,536,
417,363,384,429,723,949,940,825,531,478,691,118,515,586,335,026,197,799,707,
226,985,705,246,015,182,999,243,808,543,797,702,815,451,980,430,228,857,258,
429,339,763,265,383,417,858,978,255,498,814,442,541,345,089,995,581,854,175,
113,168,405,900,390,384,505,290,369,674,129,433,831,364,550,602,166,851,293,
282,598,481,922,156,026,369,922,535,741,447,664,371,845,936,809,604,275,678,
598,309,361,669,878,991,745,774,320,305,381,049,895,234,765,092,547,409,355,
590,961,450,699,824,172,567,177,577,579,113,820,205,417,924,903,065,751,911,
813,196,757,662,733,612,034,100,757,366,042,218,153,390,923,080,158,719,816,
405,732,331,252,710,358,637,458,925,180,986,204,366,452,318,771,406,827,595,
661,392,336,271,627,167,848,814,366,529,967,626,082,749,782,828,018,529,614,
085,056,139,042,926,116,057,524,482,829,781,684,888,561,654,406,524,824,630,
661,477,858,701,919,558,534,380,970,199,223,461,446,851,861,514,131,707,721,
329,146,404,183,956,051,650,873,785,687,137,013,884,942,645,399,444,588,337,
255,412,133,232,325,883,782,718,554,749,382,177,452,523,074,998,483,467,032,
029,275,072,600,830,798,814,087,376,813,973,649,930,991,789,023,726,770,925,
513,146,038,336,600,771,802,664,260,453,950,086,314,557,072,282,983,753,295,
612,375,372,984,785,438,394,534,335,394,745,723,387,687,213,231,652,488,576,
523,233,649,510,182,519,438,886,993,983,221,091,020,659,183,911,693,350,889,
001,680,256,797,845,874,135,013,301,401,298,349,566,094,237,087,015,266,344,
138,479,355,976,785,982,903,145,641,014,735,391,048,232,963,844,054,976,472,
603,748,226,038,744,424,630,953,540,592,877,229,399,820,107,863,857,384,448,
300,985,601,696,193,396,547,966,876,599,420,424,152,628,108,768,823,464,715,
302,896,209,256,291,828,964,573,845,683,315,168,808,159,017,548,276,528,153,
650,233,487,726,377,220,550,098,625,601,003,138,080,485,108,155,096,975,933,
797,949,325,518,590,606,379,205,300,750,716,248,877,705,887,741,656,821,750,
162,163,231,056,750,454,591,049,780,737,713,540,120,198,029,150,217,697,134,
595,075,205,880,816,458,609,088,368,797,873,770,924,402,476,086,308,738,677,
173,439,666,640,835,733,051,583,971,573,257,994,158,184,618,867,537,958,299,
610,308,906,592,915,387,857,164,756,577,493,921,224,466,145,673,367,108,704,
448,560,226,663,629,045,036,487,593,149,148,302,222,766,544,134,085,433,235,
535,334,160,680,337,777,390,799,001,294,465,940,207,408,117,545,890,191,864,
884,201,773,234,795,358,691,519,913,400,066,929,287,982,955,883,907,927,076,
349,413,270,095,231,510,135,960,977,366,404,995,629,144,796,314,441,903,836,
949,633,979,371,529,219,976,166,666,796,082,239,362,148,398,257,707,232,097,
810,410,187,272,636,531,165,500,384,303,130,815,357,253,003,870,622,495,233,
718,226,335,724,383,838,114,117,812,387,217,607,418,710,552,966,550,207,131,
687,069,587,695,421,998,251,353,362,949,526,350,658,798,433,384,125,094,927,
155,245,858,254,167,753,215,386,522,069,501,556,860,518,490,303,717,296,564,
666,249,725,890,287,918,964,309,056,327,764,064,304,999,833,306,995,455,054,
194,246,963,409,928,614,563,079,771,314,425,250,966,826,639,607,734,308,446,
005,691,231,368,316,903,845,740,728,189,459,703,669,494,559,021,452,212,928,
454,506,686,328,751,836,435,653,162,414,986,853,060,566,917,532,486,937,591,
634,012,392,422,795,121,145,984,209,034,852,584,975,951,293,203,846,279,352,
743,315,521,679,790,833,945,459,965,624,349,526,908,132,287,068,236,174,930,
224,953,951,230,091,482,781,215,580,709,066,146,325,294,949,492,693,018,911,
924,241,015,689,675,584,313,163,266,964,798,646,479,416,812,251,724,992,760,
307,404,533,676,721,869,254,178,842,802,543,507,463,418,562,345,072,192,790,
017,209,115,062,937,831,926,266,276,106,276,078,057,152,748,645,853,447,893,
086,763,785,783,931,821,014,801,551,738,579,377,230,204,108,322,644,240,870,
100,371,543,034,926,587,694,815,754,030,866,276,504,511,110,357,834,562,110,
929,281,854,455,392,323,000,435,225,335,353,322,768,342,953,672,862,954,884,
930,238,532,929,795,118,223,419,952,857,523,915,125,354,791,126,438,601,600,
949,218,677,792,286,938,879,043,492,472,732,224,397,919,978,906,277,906,012,
341,045,178,503,998,249,539,981,956,401,146,611,435,949,045,663,057,793,209,
778,098,859,664,655,889,405,199,864,931,587,255,960,936,619,834,887,602,211,
695,848,882,438,044,632,872,325,568,373,960,065,408,376,003,254,646,173,173,
670,070,113,510,875,463,242,047,155,475,519,801,656,766,542,750,904,310,513,
930,574,585,935,453,233,481,467,217,049,045,299,317,929,017,889,349,123,842,
388,823,718,307,299,615,590,855,002,429,995,161,895,089,284,507,439,941,805,
191,806,001,652,269,194,554,869,030,816,175,749,488,148,698,816,595,253,122,
404,572,949,571,879,116,357,088,393,884,051,117,943,409,952,729,604,952,070,
624,840,335,456,347,964,414,799,988,942,713,943,852,099,102,871,763,739,694,
719,507,666,102,524,640,576,872,107,418,256,533,592,451,302,723,879,471,834,
650,020,771,998,357,170,034,509,279,705,829,460,043,018,639,382,165,165,773,
246,324,104,165,934,274,859,992,299,735,893,712,970,977,593,553,487,670,044,
177,120,715,445,948,930,384,263,199,894,477,501,647,045,944,423,010,676,414,
312,631,051,249,872,930,797,668,683,709,335,882,683,621,652,516,821,649,909,
407,916,645,752,718,562,393,152,993,478,926,077,513,624,079,351,542,030,525,
022,726,436,472,202,291,578,622,760,495,912,518,585,991,457,877,992,439,721,
806,319,754,791,688,502,248,639,142,003,467,666,381,779,583,109,596,137,937,
797,669,931,341,111,500,615,340,284,542,150,061,148,976,495,176,339,225,990,
706,630,820,654,617,232,109,548,853,164,751,018,116,540,319,505,417,942,368,
850,033,813,290,173,527,446,104,628,616,868,245,806,366,784,617,329,161,081,
172,695,495,989,704,797,158,159,789,869,623,747,701,165,178,547,977,512,415,
727,519,050,831,144,080,320,306,058,794,261,358,128,018,209,200,217,363,613,
476,897,905,528,139,518,971,320,071,795,273,533,555,070,782,446,705,337,030,
455,345,950,181,321,428,315,189,170,483,419,166,136,293,263,397,344,100,090,
381,915,968,443,079,872,436,752,308,959,923,665,523,613,624,015,178,284,849,
690,154,087,065,552,283,138,192,399,764,539,860,148,766,037,467,137,412,900,
739,625,328,066,279,312,806,850,895,989,516,622,892,353,566,535,385,410,985,
277,027,513,487,024,143,124,688,487,871,650,131,738,225,661,451,768,261,278,
318,396,800,851,034,573,079,379,114,336,241,960,507,304,173,947,795,689,191,
294,225,340,432,716,516,044,275,705,856,049,914,553,870,719,964,201,177,948,
760,753,567,262,240,872,870,098,777,774,471,297,946,469,605,083,654,645,600,
684,370,929,723,317,036,118,525,648,527,236,505,417,063,193,890,706,533,529,
465,555,974,072,801,305,482,297,331,987,865,107,938,691,586,309,244,608,642,
796,176,266,798,404,377,797,765,311,761,034,488,418,614,471,619,842,973,319,
335,962,793,720,859,741,238,060,152,365,586,717,724,502,931,831,641,173,772,
309,693,475,536,817,753,437,939,306,793,852,786,847,378,258,920,221,670,758,
774,323,203,869,393,086,455,271,690,485,115,207,884,327,326,228,078,160,789,
574,165,266,037,675,810,806,422,586,014,861,574,079,294,388,300,152,041,839,
131,470,084,700,962,921,043,364,058,985,600,244,427,280,683,557,395,571,548,
502,295,468,237,465,687,211,367,604,060,790,531,137,701,747,424,210,190,262,
212,926,479,102,576,869,062,311,729,385,592,355,389,822,712,071,975,792,371,
202,482,467,255,089,758,261,475,285,178,864,503,022,386,284,395,321,291,687,
773,405,345,827,713,909,654,748,263,665,147,699,450,883,972,465,937,491,420,
392,288,054,873,215,450,257,065,972,558,903,029,982,653,095,492,564,493,693,
737,173,436,060,259,316,336,881,951,514,534,196,958,202,870,436,455,951,042,
995,500,452,003,036,179,222,588,299,506,942,013,814,217,735,108,271,464,166,
397,778,081,604,205,661,474,856,782,663,448,149,253,292,368,341,299,995,493,
436,929,627,518,238,824,198,951,411,470,431,182,051,806,237,816,646,832,686,
950,299,603,923,583,225,767,938,341,978,621,533,090,488,299,842,858,736,301,
892,480,474,922,964,645,323,595,118,351,364,671,778,025,200,945,964,759,993,
998,408,265,973,804,281,878,216,112,800,186,354,437,583,648,298,826,814,585,
455,636,349,831,369,591,086,102,875,613,365,565,603,648,891,808,147,127,195,
620,491,666,581,633,533,462,275,781,388,118,404,160,059,827,489,985,433,532,
404,247,494,763,796,151,405,415,868,907,922,597,955,062,335,342,702,755,871,
157,806,657,617,471,871,216,456,783,237,868,044,867,883,885,304,582,880,606,
903,087,765,339,496,577,090,151,386,003,723,970,946,154,463,107,810,512,360,
479,560,748,440,558,706,272,208,840,556,333,260,638,450,685,114,699,587,321,
565,763,196,844,854,115,658,496,931,903,543,548,778,309,302,392,837,387,670,
842,274,411,262,683,142,644,450,449,320,117,537,087,724,889,631,481,955,717,
977,937,026,375,777,744,087,183,063,889,308,741,400,284,006,700,416,098,796,
145,388,273,920,146,473,829,206,038,640,175,510,019,054,416,103,416,234,062,
848,741,414,291,131,993,410,274,329,615,396,695,804,348,725,885,233,517,506,
042,353,428,620,590,161,107,179,223,983,599,632,916,657,473,061,898,311,266,
732,260,502,458,056,519,370,696,930,007,770,401,633,641,361,906,081,542,708,
883,335,276,653,505,708,711,826,185,778,553,628,972,788,754,091,936,044,346,
150,778,527,564,048,952,180,737,077,807,045,814,510,469,879,632,452,746,742,
534,468,716,436,181,245,149,957,107,336,732,034,785,065,929,672,712,203,350,
845,144,318,015,603,397,186,918,116,297,104,968,528,872,532,481,153,386,448,
502,931,288,988,411,183,410,504,412,011,506,251,629,392,169,281,385,872,470,
701,990,635,821,718,380,000,581,925,002,312,075,980,827,171,345,405,655,712,
838,930,075,172,486,685,660,414,444,389,167,134,260,952,231,452,915,859,230,
097,534,205,306,905,201,125,647,863,197,439,110,710,276,232,022,342,072,023,
844,097,910,928,320,517,690,649,938,212,671,827,261,054,959,586,898,808,303,
428,037,179,042,160,690,594,646,328,440,192,031,784,563,120,119,020,403,279,
130,097,211,596,194,952,110,769,725,398,862,187,050,455,960,478,755,575,668,
214,503,383,714,456,898,194,634,411,899,555,562,101,958,049,934,007,316,874,
963,205,485,241,486,418,672,646,166,779,443,212,868,484,173,712,192,047,503,
684,272,578,171,452,502,251,594,592,020,740,684,336,754,605,329,806,762,953,
496,243,790,138,403,837,339,909,664,225,601,243,516,793,286,700,094,659,689,
768,735,940,958,556,452,797,655,292,380,707,026,314,215,471,331,620,492,421,
982,880,325,216,592,001,046,490,192,401,980,789,563,737,739,803,245,153,044,
994,708,056,093,741,556,509,608,608,756,407,773,338,247,191,002,628,798,413,
016,682,548,675,669,972,351,199,757,608,137,433,030,524,369,402,304,861,830,
029,153,886,279,038,753,272,800,809,292,513,976,649,089,460,826,074,577,290,
239,757,466,466,235,782,002,584,359,724,959,220,680,229,527,833,958,522,323,
168,484,882,428,699,206,815,013,775,816,366,877,332,016,126,504,511,940,603,
541,878,022,953,614,386,504,147,712,328,161,128,409,778,445,469,343,183,679,
607,409,651,108,152,621,048,055,365,741,483,448,077,594,661,515,597,006,772,
112,462,777,504,794,808,126,375,895,352,415,540,613,822,862,484,509,044,803,
162,484,955,854,197,627,624,671,910,472,446,860,796,980,480,060,321,318,823,
308,836,953,414,327,940,051,336,150,981,225,869,816,914,548,978,937,782,917,
570,294,721,718,850,161,709,632,136,696,123,438,056,372,913,260,431,713,738,
227,175,240,235,470,539,223,823,835,385,540,265,441,899,951,708,223,707,837,
777,930,201,516,992,987,212,701,079,019,399,009,401,144,228,232,252,195,225,
913,275,635,426,950,799,456,035,053,546,542,135,476,789,901,603,757,991,798,
633,082,216,323,689,332,909,998,744,561,189,973,177,363,706,078,089,137,969,
158,222,188,206,989,120,608,545,270,228,368,335,956,860,502,013,712,373,749,
502,652,269,224,175,748,039,143,957,050,401,423,187,657,916,098,896,432,403,
777,688,430,740,995,766,578,546,277,569,926,083,618,142,398,518,433,713,852,
855,571,232,817,309,990,107,391,425,259,221,536,461,692,905,781,818,504,913,
845,393,906,425,055,227,959,403,263,533,609,400,629,933,998,812,309,844,094,
004,216,990,728,934,561,721,692,852,397,809,099,849,020,073,918,084,651,347,
647,482,657,619,317,439,143,496,617,673,531,035,917,946,138,342,143,408,815,
312,364,457,881,350,070,758,348,060,359,001,931,127,979,297,721,881,560,245,
714,730,449,837,666,556,220,827,499,937,838,453,747,927,267,774,528,580,220,
962,206,706,655,527,290,882,107,969,605,738,133,960,643,107,482,718,160,667,
773,514,697,645,338,178,435,036,797,334,389,573,469,566,763,596,302,285,430,
924,317,781,645,141,168,114,991,524,022,154,367,707,916,076,295,564,344,926,
342,529,274,338,134,811,744,513,494,482,916,711,826,991,148,553,496,091,887,
732,255,709,241,554,161,578,275,398,090,004,929,048,764,524,547,825,529,214,
884,959,797,596,869,052,772,466,943,552,040,909,465,595,129,283,235,210,029,
759,432,943,408,686,335,111,525,759,179,350,052,048,699,478,665,480,644,774,
527,668,382,105,762,871,272,103,512,635,310,476,798,583,639,770,038,508,361,
483,767,481,304,169,012,736,540,806,030,627,454,735,257,629,824,908,512,547,
071,393,750,106,355,627,627,434,265,614,519,802,643,425,091,639,060,459,796,
038,819,467,607,565,145,931,942,275,533,691,589,991,763,001,991,177,687,329,
593,649,206,248,538,628,673,347,917,635,342,272,075,531,637,157,669,478,893,
369,181,570,234,901,839,021,168,270,426,868,277,628,946,749,808,981,557,455,
627,330,793,543,003,237,007,913,677,354,296,507,739,973,660,224,878,420,586,
532,902,838,963,117,460,981,576,126,791,141,996,807,724,997,727,216,088,782,
648,015,050,172,641,169,215,257,462,634,143,996,147,063,888,748,841,935,261,
097,935,670,624,052,541,259,968,549,036,563,152,355,692,592,436,469,860,655,
613,795,962,979,650,001,326,461,135,209,981,310,527,766,056,452,194,488,674,
962,234,458,308,095,936,779,239,730,659,877,034,655,190,438,985,146,178,373,
741,115,703,851,640,330,744,034,449,078,022,726,868,118,711,763,015,058,048,
969,264,518,164,862,200,268,061,491,542,708,749,909,138,904,944,267,701,751,
798,488,527,052,030,105,662,374,796,368,827,731,640,811,645,001,057,038,128,
119,530,484,243,487,809,642,073,494,591,659,855,524,624,454,716,951,383,254,
509,609,640,246,764,795,353,772,143,343,804,100,810,824,733,267,558,523,337,
782,354,018,775,956,092,536,868,971,116,640,879,167,863,790,479,196,080,538,
572,324,225,500,587,907,063,824,695,923,982,632,247,390,134,650,519,988,218,
966,057,484,872,899,101,710,498,573,523,581,885,482,862,678,871,209,893,957,
165,975,965,938,159,180,270,465,782,078,040,747,320,031,251,774,802,094,343,
178,851,503,876,548,118,428,907,383,834,702,999,893,668,874,700,386,753,769,
887,530,274,361,607,582,596,432,341,631,765,819,663,661,810,180,469,477,563,
665,695,940,524,634,863,701,228,770,678,242,156,139,916,745,299,975,421,373,
130,871,195,972,076,201,561,106,700,667,216,491,178,975,786,130,657,733,532,
692,316,245,005,790,936,861,655,810,443,692,208,562,683,749,358,651,663,589,
068,080,281,360,457,074,618,166,562,172,373,254,360,431,078,941,865,556,820,
944,832,413,828,936,556,708,881,208,944,091,613,430,511,423,832,651,196,391,
350,082,508,014,761,506,110,432,774,345,937,067,723,479,092,962,442,649,874,
673,237,366,690,695,268,962,156,605,170,290,139,382,807,384,328,814,663,316,
866,345,084,610,251,287,361,674,636,248,073,862,652,946,488,263,385,458,856,
311,159,945,372,075,909,335,796,877,203,621,746,485,464,445,568,530,137,629,
566,875,006,821,870,896,472,314,210,049,220,870,081,528,370,019,488,001,676,
354,537,696,697,829,715,962,723,759,222,323,437,823,234,399,644,120,809,980,
805,987,774,956,497,373,538,614,345,894,861,187,407,681,618,718,814,160,541,
067,610,877,146,032,441,678,836,199,684,402,691,581,463,764,496,716,883,379,
079,812,530,120,486,504,924,331,736,534,314,350,132,932,141,005,887,469,392,
131,407,740,151,912,815,341,080,285,214,021,121,227,148,015,394,790,094,721,
374,282,057,308,874,957,683,549,955,911,051,845,268,799,016,445,880,729,438,
999,132,546,788,606,757,800,134,612,218,115,942,415,453,140,018,986,196,690,
236,881,888,498,939,008,006,568,038,914,116,195,946,959,109,428,873,695,824,
702,931,864,842,421,692,677,492,104,699,295,158,384,753,496,717,539,690,631,
371,114,587,552,128,742,284,785,431,572,832,978,630,441,753,106,353,837,638,
632,019,789,566,237,664,636,042,368,075,720,338,669,089,124,421,377,891,165,
368,647,226,057,915,203,181,940,661,526,537,701,164,785,685,593,870,949,235,
489,925,518,985,416,595,128,110,039,626,470,056,477,484,643,696,351,703,270,
437,894,077,875,444,685,711,427,649,796,473,270,435,718,485,660,205,332,542,
461,371,846,489,789,091,139,919,326,373,852,313,418,668,052,823,715,842,396,
884,491,045,497,132,806,317,522,287,790,744,508,177,841,999,892,594,810,542,
666,969,974,406,634,830,239,134,841,775,040,530,570,152,752,591,333,869,169,
973,833,883,203,660,699,701,495,558,199,047,766,197,251,564,065,170,985,100,
941,530,787,325,757,748,780,645,933,191,276,691,583,728,004,443,000,311,908,
480,906,051,042,798,487,608,206,148,087,203,473,252,143,127,003,261,165,316,
625,202,587,613,332,253,788,447,860,847,509,837,375,592,314,079,190,530,082,
418,998,064,300,344,527,385,966,306,512,167,375,403,094,981,300,684,624,532,
983,795,307,159,478,888,224,051,969,939,839,077,827,368,566,004,563,622,062,
835,176,027,216,064,146,024,429,515,973,649,441,826,947,661,057,225,450,977,
455,976,602,285,715,604,830,985,756,222,358,755,981,653,636,527,519,685,824,
501,176,491,206,450,821,906,863,478,268,819,047,876,313,416,988,967,301,444,
286,755,726,648,709,311,922,828,890,130,009,742,070,349,573,775,514,595,107,
666,772,485,761,462,623,726,432,486,535,151,962,188,100,567,768,105,720,577,
142,035,167,808,748,604,984,884,758,466,191,684,632,393,346,194,955,977,472,
459,285,637,844,353,367,639,300,528,262,682,148,130,224,472,398,008,210,906,
721,503,076,841,661,287,751,870,804,698,940,591,539,023,161,775,666,724,186,
490,699,256,265,610,330,381,253,154,244,752,597,147,875,729,990,908,069,256,
765,016,764,939,278,209,684,830,508,997,478,888,190,992,223,090,804,812,393,
797,174,048,482,361,460,029,725,490,065,692,216,156,076,220,755,731,498,312,
500,054,948,636,612,650,119,962,257,259,770,132,697,414,180,907,869,648,202,
114,296,887,928,470,535,266,190,364,262,708,461,029,194,453,109,460,031,287,
176,250,618,778,307,921,118,724,856,299,885,229,779,869,775,008,633,924,469,
261,053,943,772,070,099,020,849,501,092,383,859,471,991,063,754,419,328,158,
527,735,725,402,592,472,649,392,941,175,800,272,069,817,019,419,966,864,465,
706,021,763,215,972,142,538,313,462,238,549,282,597,402,300,184,410,940,842,
251,182,184,505,113,643,370,067,400,562,136,178,961,834,992,547,050,714,302,
797,473,290,369,182,159,100,969,053,865,834,757,846,225,504,210,536,549,417,
771,173,087,941,234,995,544,795,136,012,128,379,638,532,334,552,061,183,445,
245,479,049,730,210,146,937,829,136,708,520,439,353,745,440,926,191,538,735,
484,780,289,697,389,190,996,192,291,936,015,048,101,013,584,567,565,841,068,
925,090,904,400,629,080,081,738,586,981,096,471,173,320,496,889,761,907,101,
578,129,210,290,917,204,314,217,601,250,224,996,387,998,417,801,485,279,486,
630,015,923,575,549,623,222,100,867,850,224,109,433,001,181,681,510,907,001,
956,297,201,631,135,781,920,999,304,598,428,073,736,891,572,748,912,394,880,
525,632,784,778,687,223,075,993,382,659,455,408,611,252,279,804,967,278,792,
770,720,832,603,098,564,356,745,466,737,754,431,253,736,290,442,463,473,867,
436,124,075,098,605,171,968,586,053,709,781,592,766,655,250,101,066,397,945,
393,656,123,349,795,440,856,967,091,032,106,524,649,116,114,482,944,113,451,
898,993,895,247,227,318,676,464,601,180,950,119,546,077,780,381,998,572,575,
489,452,937,093,066,096,566,295,692,987,105,374,165,858,154,532,809,589,723,
603,540,560,471,489,994,089,981,533,758,381,047,335,895,713,096,639,656,888,
567,715,541,646,176,601,100,002,820,851,522,767,947,138,407,471,413,692,925,
913,782,586,290,956,039,264,464,728,106,475,651,028,938,790,653,323,861,514,
819,742,071,324,378,159,414,949,117,770,711,921,146,719,000,947,372,032,592,
642,892,663,960,263,469,774,765,235,813,936,413,379,156,499,614,937,801,152,
982,986,658,470,763,953,420,378,164,439,126,575,035,028,042,195,062,384,830,
737,344,283,920,018,092,379,489,996,995,206,844,993,945,783,082,996,646,531,
075,499,385,752,410,294,167,259,555,371,673,418,787,959,275,734,914,177,877,
762,121,203,382,564,970,569,712,268,868,573,216,039,110,276,707,973,896,668,
349,819,673,782,769,609,831,170,790,784,738,439,805,300,013,981,814,453,647,
557,651,075,490,123,176,334,535,245,130,265,247,104,045,065,277,900,338,026,
714,402,324,690,387,459,928,781,942,769,338,499,773,511,590,094,117,675,502,
716,937,242,851,311,579,248,103,432,678,594,489,266,049,764,332,031,941,794,
199,834,163,054,231,112,278,393,770,580,899,249,464,440,377,404,079,698,460,
324,225,983,555,069,926,074,672,856,633,878,978,396,996,197,711,628,350,921,
044,234,948,479,339,968,253,846,352,998,811,264,888,682,576,717,454,475,978,
090,302,995,834,286,260,233,252,691,220,702,922,770,769,857,887,348,812,354,
709,602,699,295,613,981,116,074,289,165,474,972,017,575,216,844,950,056,170,
900,012,025,288,174,696,375,851,614,572,940,718,283,954,537,142,471,327,600,
254,618,962,933,141,482,090,416,657,522,362,050,619,159,729,199,697,345,316,
111,956,129,936,701,626,427,677,441,304,530,558,281,607,285,442,162,446,596,
011,102,836,509,936,215,060,491,319,296,641,996,746,842,499,781,517,384,649,
995,331,235,823,105,394,189,067,623,711,009,390,028,399,514,728,139,683,708,
333,338,426,671,686,369,608,224,503,594,141,926,012,848,598,406,110,800,251,
959,819,907,282,266,383,282,797,227,695,774,260,019,394,179,425,781,060,143,
263,226,328,827,279,883,068,209,036,492,231,539,657,136,962,767,759,616,167,
144,618,430,006,266,268,261,764,106,702,945,377,259,919,088,704,734,552,679,
228,079,612,995,041,091,474,534,584,194,050,222,910,455,556,245,674,443,088,
231,506,490,659,480,149,741,672,752,058,286,619,548,922,145,978,584,095,223,
611,332,545,683,745,867,314,282,220,393,591,825,121,258,003,488,345,694,119,
343,435,635,013,639,200,648,201,742,665,889,789,076,345,862,257,338,039,601,
295,394,047,018,249,932,580,016,954,012,410,682,127,743,599,486,487,622,450,
998,029,436,384,010,582,123,705,361,351,398,174,458,316,184,832,011,618,281,
962,295,774,797,631,397,330,018,020,688,358,588,372,583,390,701,761,765,286,
323,660,998,727,998,976,318,524,980,661,545,346,500,540,326,710,298,907,295,
808,491,241,287,607,546,651,402,114,514,541,611,657,895,936,343,726,393,918,
989,807,329,072,720,717,336,742,763,557,731,873,429,778,156,770,641,682,492,
021,880,550,035,948,332,522,562,342,282,721,772,117,921,659,881,782,534,811,
178,365,543,665,194,223,113,511,447,118,722,089,897,061,502,531,412,068,474,
869,510,171,478,831,938,927,373,573,616,347,349,083,817,049,808,665,217,414,
826,080,890,179,578,667,417,528,220,650,081,504,821,381,253,871,514,030,462,
456,574,806,152,494,429,874,518,290,034,347,870,525,010,348,926,121,485,540,
207,027,076,204,372,977,415,758,718,521,025,979,665,606,648,830,839,328,514,
903,490,978,245,924,488,378,328,911,374,564,362,918,652,601,535,981,335,121,
155,098,590,991,168,463,386,221,603,861,586,854,645,663,475,105,576,861,401,
969,072,694,570,194,888,024,586,236,027,735,479,841,182,147,196,965,292,673,
761,276,353,962,734,617,260,804,807,448,842,231,416,770,675,969,837,529,879,
502,874,198,104,660,875,369,511,209,548,543,891,914,781,392,046,282,050,845,
392,816,885,132,618,034,098,921,891,430,489,410,840,134,381,019,113,071,040,
330,935,298,556,324,708,783,087,890,426,138,402,972,138,173,343,793,759,148,
926,304,337,570,255,595,953,193,352,140,605,739,123,934,068,018,877,227,023,
370,301,828,271,985,105,294,204,059,539,434,440,177,348,248,228,903,308,442,
651,288,336,658,492,314,664,450,543,145,266,992,922,760,478,604,914,092,043,
243,962,548,961,519,087,915,438,972,972,252,973,264,492,174,890,789,366,914,
107,200,017,140,295,172,808,998,568,100,788,938,340,745,627,515,660,835,063,
983,909,577,440,694,553,112,367,913,164,031,772,308,096,149,062,043,532,836,
434,682,545,591,714,082,902,238,868,868,666,351,269,235,879,890,805,279,912,
072,284,945,022,548,710,225,567,130,468,260,149,006,374,377,997,917,541,508,
623,399,253,183,678,940,909,991,180,857,280,616,613,821,396,908,610,415,865,
999,062,193,601,944,834,006,577,684,599,102,352,819,470,083,705,998,304,297,
643,828,944,328,283,995,439,581,694,481,822,416,381,893,249,020,304,206,899,
485,094,834,707,200,533,555,996,241,171,761,824,423,587,147,742,999,282,058,
830,282,619,359,779,322,211,468,758,188,350,895,103,325,616,136,330,068,672,
574,534,311,891,345,681,388,148,009,478,861,946,945,168,270,442,207,937,550,
606,505,116,506,542,322,323,262,239,239,285,032,833,284,653,365,421,400,626,
342,777,824,954,837,274,434,658,365,791,262,168,867,298,815,397,720,613,619,
617,749,933,548,626,633,644,515,360,728,477,594,361,256,054,340,942,814,327,
761,099,381,947,859,965,668,391,022,762,397,387,572,126,351,040,299,524,468,
546,335,228,953,734,881,996,089,009,921,956,750,935,979,807,894,946,528,420,
391,469,970,697,712,306,783,233,697,906,759,578,853,771,210,295,606,558,471,
718,800,357,136,687,720,546,116,504,210,416,376,812,817,979,012,005,456,307,
505,937,026,432,751,096,534,712,500,371,666,065,725,550,697,925,311,621,607,
107,373,252,367,829,368,992,579,727,296,899,414,166,477,862,432,715,509,304,
770,727,850,164,476,683,172,035,743,089,409,835,000,612,359,681,460,928,175,
434,594,043,281,535,480,308,666,097,209,696,139,353,530,529,888,834,971,681,
659,386,913,349,215,372,048,491,769,740,021,952,099,579,030,243,379,266,719,
339,758,126,479,851,088,833,662,217,812,843,774,077,764,021,354,258,220,318,
055,132,524,389,153,497,641,445,329,574,660,185,297,061,272,992,409,376,272,
055,993,577,750,017,151,586,791,207,300,394,177,788,157,802,882,505,425,411,
663,422,111,470,021,989,999,568,472,404,796,214,735,973,512,350,337,355,225,
052,800,397,556,802,420,132,349,662,845,772,025,537,033,346,093,487,591,761,
823,517,438,744,387,307,211,485,701,395,912,224,018,951,669,976,224,484,174,
554,860,411,934,357,853,696,507,328,654,513,947,242,859,067,823,217,203,826,
963,314,314,549,544,041,109,919,852,658,300,929,820,914,366,775,324,807,219,
730,896,436,771,765,146,482,687,358,717,516,650,385,874,643,204,871,958,751,
389,533,836,371,204,375,646,613,388,035,567,850,961,839,247,628,097,448,496,
374,600,723,386,947,548,408,402,849,997,142,272,084,138,589,228,277,639,047,
317,780,381,914,857,046,705,732,640,534,749,172,925,984,145,921,181,490,620,
245,855,138,148,095,840,011,837,823,308,294,977,934,315,100,377,278,469,201,
116,099,096,649,309,984,445,078,953,902,602,581,345,098,668,082,414,635,065,
540,320,711,518,645,926,777,500,850,418,098,624,381,306,822,121,796,404,950,
284,969,142,306,268,157,472,125,024,017,118,522,236,133,279,912,879,032,807,
061,813,880,842,813,277,515,936,808,320,351,296,231,235,970,175,254,170,759,
207,940,064,130,431,141,910,596,397,245,902,368,178,403,481,278,332,871,242,
008,565,781,383,918,495,690,412,990,483,256,557,378,698,422,632,540,390,742,
927,153,673,818,532,278,120,383,709,327,146,981,208,639,251,576,777,727,591,
360,380,200,303,426,912,536,029,490,941,108,368,204,695,054,277,439,108,158,
923,525,529,770,235,747,791,869,310,547,848,651,342,124,852,212,487,179,357,
212,997,777,682,453,935,733,008,534,497,118,161,401,727,962,924,855,281,554,
877,002,327,339,519,203,896,869,324,987,360,537,358,874,526,210,166,988,708,
962,597,843,087,855,341,673,657,909,664,284,900,195,068,126,781,303,691,576,
388,785,242,941,133,013,715,252,858,137,943,083,086,230,943,732,549,890,051,
545,912,612,558,435,724,588,358,044,909,782,304,532,262,447,684,281,375,082,
807,667,514,295,563,335,320,184,548,919,800,707,197,432,349,250,139,196,285,
812,076,787,936,623,872,225,535,132,930,355,395,218,687,580,138,996,151,572,
601,258,370,193,876,347,744,405,825,105,313,217,447,909,166,779,565,516,776,
462,044,658,692,492,828,810,378,616,538,800,605,497,785,722,077,530,200,092,
856,759,798,576,308,264,220,431,949,423,794,308,207,599,677,842,016,457,826,
933,983,905,530,652,973,588,965,240,577,958,152,464,942,274,809,739,952,170,
448,512,946,377,587,518,133,447,252,615,908,445,220,898,833,189,793,817,674,
589,215,542,854,332,093,045,036,956,554,024,687,641,863,413,302,296,314,354,
357,802,522,449,878,219,104,773,197,561,631,140,702,633,544,846,681,523,488,
978,501,179,150,686,594,627,482,153,433,025,437,049,708,446,432,530,736,565,
108,902,209,773,860,857,940,312,704,463,867,083,342,036,427,570,273,559,655,
123,508,918,996,584,006,689,729,092,285,704,159,612,665,408,727,511,302,769,
705,309,003,462,532,968,570,768,807,018,924,803,997,238,908,528,849,458,609,
944,671,783,787,981,795,391,074,140,251,433,436,358,959,918,155,532,449,832,
938,904,777,836,968,183,395,225,406,869,355,376,830,551,979,113,370,133,441,
987,563,120,359,616,895,739,479,599,551,979,524,605,450,076,727,200,084,751,
961,188,893,960,842,184,702,778,126,433,945,572,875,874,020,055,321,784,493,
505,807,980,043,042,316,303,318,071,253,141,231,733,769,857,637,008,876,650,
292,877,557,820,631,249,177,446,616,956,457,597,003,495,801,232,258,773,166,
928,737,802,091,428,340,098,888,462,674,985,007,817,057,069,428,786,058,624,
908,404,709,272,523,525,647,585,532,246,389,368,175,740,372,639,135,440,254,
356,576,573,994,673,937,311,058,903,128,842,017,696,188,766,823,497,148,676,
852,969,352,364,301,693,109,201,372,125,849,014,078,940,854,773,875,688,439,
904,375,942,836,476,517,330,694,987,565,278,365,210,413,557,828,861,876,994,
553,193,396,026,415,616,013,900,045,471,465,723,665,339,289,224,378,995,937,
893,891,785,273,706,759,416,567,131,807,637,297,816,015,832,097,426,909,601,
793,388,208,509,907,439,109,535,955,666,818,500,260,912,803,884,428,260,422,
759,546,603,495,056,800,074,060,446,447,253,614,090,202,822,674,996,526,396,
661,538,273,865,557,476,888,580,464,804,884,145,389,206,086,645,328,909,564,
856,566,673,956,575,151,056,965,918,485,525,923,134,996,069,270,605,252,088,
740,524,329,101,078,758,132,193,160,843,732,070,754,723,830,429,821,758,304,
311,993,010,268,782,718,761,232,565,129,009,914,714,047,275,404,757,861,906,
610,989,497,745,137,206,529,531,168,700,853,950,841,316,105,001,497,925,817,
681,219,273,542,716,891,717,812,938,599,860,891,698,136,412,876,191,191,619,
827,513,421,060,219,636,035,436,986,481,331,912,458,437,256,199,009,246,739,
388,167,652,384,690,630,760,401,680,539,360,232,563,682,746,916,122,414,886,
838,110,946,020,656,300,496,149,195,874,128,850,473,467,317,330,439,258,507,
636,865,151,054,981,111,869,372,241,983,047,931,293,402,490,343,172,689,049,
882,250,475,011,123,073,519,768,671,241,833,462,224,439,054,304,463,680,343,
797,162,377,805,884,310,213,268,589,584,345,264,142,341,074,056,106,357,672,
957,144,111,532,917,688,331,845,771,143,864,024,213,425,109,701,400,789,811,
970,138,707,767,760,316,556,154,558,847,188,775,881,972,893,231,835,639,691,
318,265,401,401,056,583,936,657,773,856,170,363,957,369,665,073,241,849,897,
527,137,941,975,313,725,481,313,348,651,469,062,888,500,460,392,068,945,535,
510,892,011,718,728,192,625,880,629,695,419,736,522,205,564,411,694,590,110,
004,786,375,071,836,187,268,934,225,382,277,287,318,904,247,940,050,018,468,
012,865,192,607,956,249,478,775,127,694,991,863,123,289,260,166,858,233,263,
976,331,076,559,011,058,489,493,846,344,619,050,535,989,005,471,535,287,049,
678,242,385,628,072,273,892,444,785,123,933,089,559,848,390,444,013,561,117,
423,791,886,012,422,245,686,242,998,808,649,423,573,056,163,426,420,532,255,
325,926,888,147,814,308,457,605,862,228,810,321,398,079,093,842,929,490,039,
605,337,663,191,539,098,750,524,389,256,811,185,220,590,655,933,051,166,456,
553,425,756,392,368,328,048,534,763,088,014,495,201,738,003,943,973,240,364,
065,730,441,093,892,908,163,159,507,729,547,508,363,053,666,055,694,615,879,
818,833,192,869,738,132,365,543,438,085,684,686,401,664,991,058,681,980,207,
604,679,331,486,989,789,514,009,595,933,430,823,405,330,557,511,330,270,950,
689,193,225,801,908,065,152,867,929,692,614,242,992,545,664,531,865,798,344,
508,473,000,196,104,587,702,120,623,976,290,435,490,804,815,521,362,147,986,
558,622,807,842,464,801,661,286,099,735,426,375,338,468,181,831,413,715,548,
233,330,135,204,007,971,032,917,606,177,675,573,160,827,778,381,578,329,309,
991,477,784,993,718,455,042,265,719,426,695,250,463,836,309,367,137,943,510,
740,518,994,726,043,747,659,246,784,227,878,561,448,619,578,715,646,191,446,
502,606,993,904,865,179,006,714,217,637,051,911,008,242,306,793,412,976,145,
736,664,814,316,394,507,281,509,201,567,917,362,532,682,232,772,107,915,045,
723,270,278,885,184,989,108,243,399,240,321,926,118,173,823,598,450,859,978,
242,205,799,622,315,354,156,723,368,715,713,476,262,442,304,094,487,767,149,
041,833,088,712,564,573,384,591,966,721,573,654,620,996,392,514,360,043,348,
409,467,609,537,314,879,921,588,492,930,378,432,814,778,160,589,155,605,592,
653,998,554,762,148,643,741,913,555,252,882,943,858,332,505,864,823,945,869,
920,874,633,602,128,775,274,068,565,338,817,384,561,294,658,290,902,823,262,
127,552,283,526,977,768,842,475,290,856,398,521,747,832,798,140,172,653,852,
447,439,477,165,555,400,973,317,045,909,334,954,928,020,494,973,328,646,938,
295,834,343,906,664,869,762,197,836,482,237,940,435,137,213,639,270,660,917,
386,842,781,317,211,326,200,051,771,603,622,276,206,574,244,976,433,631,089,
099,456,801,559,880,733,537,130,567,374,879,182,713,044,589,161,959,683,920,
922,392,433,947,667,583,994,844,479,626,947,102,032,374,707,986,806,837,856,
391,857,928,280,019,294,339,067,406,041,646,189,467,479,923,796,533,655,090,
210,444,482,004,774,094,617,253,652,537,398,287,536,188,891,340,191,141,338,
882,409,506,817,179,684,587,503,756,053,288,489,146,631,510,865,788,383,737,
926,757,865,815,357,625,383,813,812,606,166,205,294,586,940,775,654,548,282,
102,271,223,772,946,752,311,238,535,071,455,082,521,220,540,555,847,067,466,
858,614,042,286,747,568,609,475,655,896,289,003,291,111,672,453,446,349,663,
673,883,972,296,559,733,484,587,021,599,024,422,883,666,700,144,140,972,096,
109,335,987,420,960,862,873,392,200,269,775,187,450,237,821,242,324,701,347,
406,283,371,926,497,125,290,645,223,891,309,206,341,705,095,963,451,763,576,
478,513,736,986,050,564,712,251,413,158,925,400,096,049,135,516,247,058,245,
565,694,574,638,012,901,661,032,714,788,067,151,370,223,712,729,431,552,919,
599,488,558,251,407,651,688,420,028,774,059,203,452,121,883,438,285,076,996,
886,572,866,851,412,209,262,614,235,488,553,614,374,325,502,794,489,748,601,
719,229,850,366,234,602,206,271,941,076,550,293,938,432,221,665,970,668,714,
496,509,546,580,912,463,325,727,792,248,184,772,650,145,814,247,876,955,545,
862,323,091,712,813,415,737,226,240,865,322,419,270,873,582,085,486,265,671,
005,127,209,701,196,550,573,976,909,127,050,621,560,508,482,630,769,828,003,
126,951,488,566,101,342,131,419,180,038,972,407,381,039,271,569,261,385,613,
743,447,541,007,864,266,780,357,001,696,435,453,531,286,733,576,060,080,186,
005,086,289,738,092,889,810,386,854,838,466,592,709,031,009,434,528,381,050,
147,427,788,901,755,463,168,990,749,375,353,274,517,612,236,101,291,392,343,
248,100,405,324,860,348,706,668,371,217,200,796,258,241,013,664,578,166,054,
400,536,303,132,830,611,341,519,969,612,131,852,949,662,576,771,247,558,632,
831,282,967,667,441,294,542,661,557,079,066,031,751,952,214,557,532,880,730,
099,952,120,537,510,185,756,766,097,754,896,337,532,163,001,145,557,602,550,
007,969,235,173,661,915,917,743,592,246,182,901,352,241,823,158,629,168,785,
854,748,369,633,252,312,083,209,611,132,450,674,370,871,998,839,378,462,410,
316,107,727,986,758,008,200,634,642,737,014,560,038,293,810,927,275,861,308,
651,429,004,745,827,112,187,218,148,964,642,849,681,223,424,921,076,369,279,
078,631,162,437,014,262,629,531,642,061,258,622,650,171,481,645,354,377,732,
425,677,372,654,351,701,419,383,926,780,466,006,736,434,989,723,699,061,811,
500,872,745,693,492,830,035,173,996,175,587,365,663,923,729,530,200,520,303,
920,580,079,326,774,338,168,513,953,631,209,472,652,362,052,694,865,555,587,
113,036,315,942,453,603,467,548,119,757,749,548,705,124,555,081,660,718,369,
799,650,411,783,096,948,952,086,516,494,111,051,073,194,916,025,568,578,536,
255,965,252,613,527,236,282,897,861,351,051,768,352,758,086,286,098,555,738,
165,858,887,594,754,908,530,059,477,430,630,600,126,444,719,049,736,122,996,
253,757,702,122,718,280,471,320,570,027,232,571,855,149,883,822,304,773,330,
286,538,679,187,460,391,040,608,203,907,075,261,730,652,546,807,719,254,551,
089,935,078,068,506,752,430,882,534,864,770,153,223,262,377,764,531,901,280,
115,005,085,349,366,716,416,196,756,890,641,516,008,037,841,148,776,466,475,
491,652,110,146,545,030,215,463,809,515,750,603,221,738,809,372,598,536,701,
162,194,349,426,670,345,986,725,727,849,970,992,207,671,011,766,280,964,056,
132,744,266,638,138,374,985,828,530,855,035,517,533,367,851,278,331,032,991,
457,628,908,787,173,484,122,933,782,862,484,994,429,865,383,082,301,746,534,
771,573,017,692,005,700,613,515,189,915,461,932,097,393,234,747,661,971,363,
114,866,852,359,236,442,856,490,478,227,123,386,147,023,363,246,597,401,377,
676,109,417,381,179,043,295,138,410,853,440,280,706,820,331,776,901,827,587,
548,869,763,203,701,507,115,910,509,296,018,846,339,978,773,694,580,349,941,
165,723,739,793,833,314,720,831,278,117,277,054,728,215,928,058,974,930,953,
415,236,118,068,277,911,899,995,511,261,154,131,314,666,675,941,486,403,146,
352,835,321,609,603,099,766,433,124,666,095,354,386,131,230,741,147,437,701,
081,600,812,051,385,763,202,048,275,709,419,941,471,330,542,492,496,907,320,
459,261,057,899,722,545,494,439,781,525,011,414,731,937,013,185,758,156,503,
929,064,891,005,449,784,091,616,233,675,486,987,417,039,026,112,846,737,100,
963,609,817,409,309,646,703,238,795,069,859,198,525,513,078,813,464,578,263,
501,522,521,826,481,663,092,137,691,349,996,881,354,120,520,968,829,047,377,
483,921,151,163,472,608,371,245,924,317,225,236,418,299,142,100,926,642,472,
240,966,921,438,316,548,335,771,841,213,097,708,117,914,733,477,191,688,121,
688,160,327,261,535,302,624,749,802,272,377,923,318,786,062,372,754,022,239,
229,912,274,807,628,626,186,997,599,689,060,875,955,526,818,719,212,910,798,
291,368,585,543,200,750,728,227,237,661,930,240,273,700,147,600,189,679,345,
225,311,881,655,421,225,727,994,418,066,412,494,316,570,059,636,362,245,528,
531,186,912,708,558,468,251,850,341,157,232,796,535,927,065,721,806,714,903,
455,194,314,615,852,124,776,311,621,677,642,553,736,152,352,018,779,971,249,
376,615,993,150,806,273,123,059,143,628,238,452,049,310,767,928,129,021,595,
220,685,708,640,606,188,276,055,397,113,588,485,441,278,778,782,171,935,595,
792,060,367,685,931,032,599,789,450,302,286,332,580,326,830,601,003,376,983,
910,041,176,171,790,757,363,204,026,127,846,704,846,655,897,846,964,970,473,
239,390,563,023,251,058,033,078,683,015,290,189,160,498,998,509,687,181,532,
696,468,206,620,600,313,092,633,368,560,471,362,920,891,473,039,320,015,114,
966,823,669,291,252,952,921,952,756,433,795,673,135,028,890,442,866,539,112,
298,161,962,819,545,597,624,768,244,335,841,950,766,396,084,472,030,011,453,
908,290,859,477,736,921,649,144,885,064,688,140,590,569,308,854,404,888,125,
817,192,828,499,724,964,694,614,648,355,867,337,541,587,304,159,565,234,505,
968,072,538,926,056,992,839,462,224,698,467,715,856,381,375,018,690,237,958,
232,877,909,469,280,655,446,715,631,180,956,620,438,647,661,893,592,057,881,
548,748,165,427,172,327,068,077,695,967,976,162,278,555,127,288,273,243,294,
504,975,096,146,691,682,615,378,577,933,482,182,564,486,474,746,936,201,518,
594,944,694,326,722,077,582,346,313,601,427,127,555,670,962,619,971,734,232,
548,881,640,581,995,718,358,237,468,954,151,140,995,095,551,204,966,946,930,
580,848,270,091,713,844,634,290,276,808,628,280,370,456,722,605,414,629,565,
314,311,693,181,556,886,364,132,712,254,433,244,888,762,402,658,852,905,419,
624,014,480,068,940,257,804,682,519,937,299,341,504,923,428,598,537,201,195,
078,323,052,343,482,635,582,494,102,928,042,626,153,027,446,595,389,854,940,
620,788,234,064,537,335,032,696,244,709,188,941,206,365,415,246,754,495,046,
599,186,491,166,032,371,776,653,112,563,625,308,333,625,156,686,703,731,878,
477,036,278,788,234,022,380,801,748,545,609,396,595,003,882,109,944,051,752,
003,418,333,088,593,274,549,926,717,583,562,705,812,178,065,476,560,579,304,
171,917,098,594,426,243,374,922,279,187,786,842,692,583,029,700,883,988,145,
371,214,747,491,390,619,752,812,168,633,311,006,758,806,991,223,506,278,859,
726,895,597,636,536,000,174,228,730,014,937,075,978,875,948,466,662,004,755,
321,469,611,820,791,005,086,440,067,586,465,292,019,013,583,092,635,163,317,
110,403,047,982,050,767,557,085,189,125,961,256,441,584,055,873,488,675,222,
501,693,113,838,693,111,150,982,308,542,087,766,221,933,028,913,600,634,867,
773,064,654,897,729,427,833,872,627,715,443,059,605,802,565,204,358,787,932,
632,367,663,724,824,439,570,153,652,158,433,133,460,446,775,792,089,956,905,
651,595,023,874,637,062,082,140,739,132,291,338,274,916,220,006,810,170,933,
473,220,497,948,631,512,752,137,204,909,138,346,646,331,048,481,675,538,695,
635,515,063,186,080,240,523,486,336,022,995,445,014,139,449,737,901,867,768,
427,384,906,911,521,868,869,940,600,687,879,459,902,996,897,213,047,752,229,
912,051,564,660,184,268,183,363,942,178,521,599,194,996,038,378,155,218,531,
725,967,388,783,521,329,423,093,197,658,974,521,739,326,362,996,695,443,430,
807,535,695,161,637,627,792,605,146,965,984,371,438,840,916,114,570,065,907,
227,617,656,229,896,692,736,468,780,047,458,347,061,623,427,044,598,584,331,
533,793,138,581,801,147,985,715,197,923,058,672,926,148,724,308,437,455,081,
327,565,128,122,566,285,255,684,118,837,838,622,102,452,850,751,548,495,989,
543,143,116,193,237,394,460,289,354,739,393,098,572,447,412,341,538,505,519,
197,750,092,615,191,583,696,660,556,619,025,063,009,173,693,598,577,941,316,
086,945,936,021,701,993,868,761,726,726,734,346,266,943,734,424,240,239,441,
622,071,666,212,650,513,427,556,602,780,863,257,762,723,863,514,464,773,972,
993,312,443,222,619,235,822,101,777,946,369,366,213,375,804,734,319,764,565,
842,613,267,402,346,628,270,060,387,491,824,828,798,001,671,967,394,850,281,
297,737,102,903,119,639,539,551,924,071,572,717,929,826,564,780,351,105,331,
516,364,494,484,520,300,470,225,339,193,433,926,970,923,049,396,766,644,237,
394,803,105,432,027,020,873,056,817,450,772,539,211,792,504,215,482,036,390,
773,165,080,028,829,006,127,843,601,460,586,784,468,687,077,561,626,417,949,
007,047,628,737,401,621,347,706,301,980,918,717,784,314,308,053,416,812,690,
087,026,668,294,393,511,677,137,821,929,024,647,698,083,774,369,196,077,599,
634,165,673,166,647,484,079,754,592,007,958,904,627,747,874,250,720,898,055,
511,404,259,071,057,989,974,190,861,239,974,559,782,666,407,153,896,493,571,
333,230,795,069,231,028,229,603,004,357,744,169,247,590,012,548,479,563,985,
186,669,632,008,612,313,019,020,549,322,930,993,499,754,424,098,167,927,789,
109,797,661,523,928,686,990,172,405,750,747,430,889,057,541,252,752,084,493,
700,221,073,614,822,376,934,516,390,421,883,685,167,075,680,003,256,897,969,
854,935,007,608,080,025,229,768,700,688,894,538,385,173,200,037,248,632,959,
829,419,897,257,673,041,759,674,469,709,698,309,800,012,638,519,746,173,415,
856,193,602,623,204,447,768,265,206,170,898,387,510,830,547,771,616,001,525,
279,067,218,664,731,518,841,267,361,627,118,471,045,484,761,590,425,958,662,
122,562,016,836,274,034,445,966,244,939,260,773,467,570,053,673,099,287,653,
367,380,024,169,409,236,064,500,722,583,689,621,787,962,786,174,773,900,282,
236,463,594,242,850,475,196,247,581,536,088,203,113,491,677,505,521,419,627,
489,555,198,190,825,456,324,181,954,764,628,069,343,509,494,369,156,803,251,
820,173,551,890,451,317,090,893,655,490,071,186,162,054,945,527,928,431,980,
164,720,523,245,606,953,447,078,324,638,763,459,337,882,960,136,700,167,996,
787,806,417,065,952,764,055,572,758,551,759,133,566,129,457,485,075,273,616,
616,619,220,782,365,895,292,141,897,951,712,865,352,762,306,776,435,611,080,
100,194,923,066,261,384,800,103,872,661,777,075,537,622,219,944,836,011,717,
043,195,745,658,637,285,696,885,485,041,935,917,551,353,406,338,632,908,962,
381,676,805,160,071,519,524,208,080,797,680,953,969,132,827,836,136,779,429,
490,171,591,897,500,943,854,546,258,706,915,581,747,250,050,735,085,211,504,
469,380,608,251,329,850,469,181,536,268,877,892,434,061,067,152,788,063,495,
243,100,107,325,959,503,656,530,215,285,527,967,686,132,350,557,966,520,395,
791,433,527,445,061,785,382,297,664,954,900,208,037,566,924,347,423,454,921,
496,025,388,879,221,516,777,514,297,521,493,208,060,454,091,509,182,967,593,
837,752,137,966,343,008,465,537,176,506,852,409,979,238,237,919,519,165,443,
397,215,573,540,330,066,335,418,928,188,030,105,444,626,381,894,505,751,518,
670,329,053,312,937,611,114,853,249,866,448,056,803,184,189,300,434,327,786,
641,900,351,267,565,357,589,183,102,912,880,455,224,922,716,727,429,822,885,
520,230,051,385,980,940,038,941,797,954,497,522,541,511,505,431,550,628,422,
605,912,836,723,622,316,572,069,938,941,539,755,128,042,423,573,844,205,450,
775,929,997,925,598,371,600,135,277,913,461,304,958,313,849,203,695,965,790,
971,037,004,759,528,976,519,617,623,501,586,663,169,898,540,432,291,923,760,
723,601,026,458,421,122,028,494,170,854,200,019,119,097,271,560,597,587,642,
348,223,656,827,816,178,555,324,896,573,936,834,561,517,230,899,886,134,706,
783,934,947,062,452,486,208,125,110,727,937,905,430,437,615,757,841,300,958,
316,880,774,494,832,080,695,457,103,249,935,487,276,115,168,632,666,918,980,
438,116,613,368,824,381,356,563,853,266,502,564,370,140,946,493,923,440,753,
127,894,508,273,973,589,484,638,290,939,826,179,392,868,627,408,292,698,631,
014,508,107,572,267,481,856,108,709,683,790,237,597,572,011,047,435,964,996,
369,667,532,819,779,598,585,175,756,189,424,334,927,024,428,404,171,416,989,
715,952,689,454,204,033,264,532,985,552,990,094,331,156,537,580,724,427,729,
054,236,835,340,795,894,491,667,131,353,506,115,732,222,243,134,185,654,659,
241,238,030,441,875,470,449,448,501,997,510,418,441,435,642,196,917,818,217,
538,664,001,897,464,888,696,586,626,075,353,157,304,330,563,627,260,575,184,
479,259,708,114,761,661,084,275,489,660,298,984,605,440,710,202,877,793,022,
396,283,784,621,587,581,820,297,810,270,046,907,272,012,419,369,723,168,127,
128,088,435,281,399,373,550,139,796,530,707,587,479,286,359,836,032,059,828,
092,318,127,163,064,149,353,764,763,757,603,387,048,823,663,532,011,396,865,
820,952,768,004,773,955,450,693,649,406,832,540,697,937,825,723,554,531,604,
558,708,272,660,533,508,382,450,485,874,036,215,706,242,025,630,959,526,462,
065,851,965,854,197,439,578,974,562,011,015,145,425,086,048,868,931,698,465,
541,880,315,800,910,333,879,307,115,084,265,166,692,259,345,174,817,568,270,
097,945,205,662,536,832,296,657,466,392,677,081,468,714,589,134,112,639,065,
281,790,054,757,535,538,121,020,884,994,905,529,368,404,315,946,202,725,959,
556,999,418,139,989,115,356,167,869,965,874,734,350,764,295,831,371,421,330,
070,403,610,379,451,785,052,273,110,267,431,130,627,154,206,957,584,486,524,
540,670,033,980,274,484,356,489,789,597,719,088,831,119,909,640,535,438,316,
406,335,939,153,174,197,604,902,546,626,080,098,650,485,224,562,548,375,268,
205,920,956,710,219,628,498,472,617,927,512,374,594,389,667,435,913,339,482,
695,147,979,729,174,159,978,544,587,249,912,172,124,711,487,926,690,395,034,
504,340,648,397,488,337,975,490,964,090,716,990,876,976,190,278,260,864,697,
635,113,631,075,084,280,907,625,053,705,473,401,417,488,499,210,001,219,705,
608,904,992,563,091,469,329,108,233,346,289,629,219,279,351,796,669,236,738,
684,444,693,731,993,701,141,211,269,637,242,696,220,060,848,301,108,533,285,
771,195,151,698,559,620,531,327,041,088,563,078,275,581,582,288,062,624,009,
373,703,419,586,955,759,979,666,986,400,186,238,247,872,642,939,870,656,633,
292,059,620,652,722,573,150,135,664,910,303,388,864,870,226,914,807,596,228,
124,322,151,581,597,312,414,307,476,048,637,695,453,123,999,335,078,515,185,
600,227,298,632,782,861,469,895,539,937,702,718,204,338,386,190,480,390,470,
293,213,332,372,216,670,026,222,439,289,152,525,340,739,665,252,168,609,385,
446,439,032,772,985,547,961,160,137,625,855,959,875,429,457,024,643,190,777,
595,683,911,739,818,031,653,468,460,198,485,908,522,645,674,040,677,209,730,
348,157,019,703,811,725,867,266,116,892,285,941,784,270,439,761,148,603,037,
239,132,503,346,871,284,717,260,971,888,072,150,562,037,526,064,629,461,459,
047,102,995,305,183,406,763,701,800,759,296,005,264,580,055,606,527,770,915,
740,698,947,939,147,924,586,659,113,166,280,207,012,373,209,206,851,629,614,
088,914,451,462,639,672,893,562,663,641,557,415,947,090,461,273,345,682,545,
271,375,065,094,916,684,201,098,799,440,303,356,258,062,891,759,227,255,681,
942,985,391,174,947,018,873,268,665,042,210,900,417,902,770,690,669,582,859,
976,861,586,185,892,915,494,005,258,676,597,295,256,307,732,517,952,200,091,
296,586,057,327,250,391,186,088,420,941,957,561,596,879,827,014,530,641,740,
946,812,033,134,088,530,357,351,582,771,575,322,422,137,132,215,989,791,259,
820,760,165,853,339,435,654,577,813,959,479,966,573,601,770,190,321,213,944,
910,011,819,169,058,472,787,307,200,115,297,885,997,029,337,145,260,762,168,
110,659,032,198,015,556,299,106,972,827,314,602,486,147,902,828,931,832,157,
683,536,465,663,817,729,426,843,275,827,298,947,070,943,408,581,750,321,070,
699,988,910,195,589,511,133,561,040,162,417,426,269,788,004,425,871,471,442,
662,463,780,275,555,452,279,826,406,360,224,446,718,313,030,069,179,847,377,
614,703,787,130,926,548,446,691,288,969,759,743,756,813,922,363,362,310,008,
078,921,262,556,168,209,370,701,807,748,403,899,048,740,653,314,349,510,681,
349,384,037,269,549,211,860,554,220,738,218,299,775,862,207,621,614,725,733,
008,442,798,699,180,509,725,526,100,629,004,938,227,482,054,631,967,760,872,
254,254,209,736,596,272,524,663,902,768,295,826,205,540,909,470,414,045,814,
314,106,941,718,236,045,615,257,257,543,373,268,232,229,635,619,138,330,472,
607,546,675,060,608,927,765,874,787,370,260,990,564,568,655,986,155,551,918,
476,670,127,216,909,871,275,810,935,761,372,834,498,273,219,332,595,756,901,
248,508,761,378,659,650,588,336,715,965,478,376,122,569,442,652,507,565,527,
249,111,242,336,129,559,225,824,907,539,689,184,979,091,424,198,137,139,235,
213,004,687,270,693,927,299,180,789,473,695,599,409,667,618,682,679,206,182,
386,743,464,153,621,792,215,300,563,785,270,432,079,312,155,371,793,451,366,
230,878,612,197,158,662,998,640,515,238,590,003,188,401,198,367,808,238,353,
031,812,726,750,500,872,155,284,498,588,561,751,183,069,062,187,646,821,719,
394,667,039,783,322,437,021,579,743,702,776,508,377,011,875,987,665,353,366,
140,224,834,281,272,866,011,185,064,599,912,701,206,836,860,864,594,004,409,
508,514,247,329,333,885,884,961,147,126,579,614,259,292,569,727,026,519,162,
041,136,612,671,006,288,708,061,246,733,219,613,768,700,511,722,403,777,955,
829,194,100,884,787,573,223,786,405,481,719,134,120,191,647,222,077,687,014,
414,930,938,697,229,647,470,559,295,204,093,823,113,459,927,570,426,070,365,
426,812,629,303,574,259,708,716,416,385,576,342,436,498,520,987,253,029,861,
116,939,564,342,802,799,150,514,528,682,772,558,000,587,421,026,717,919,422,
873,027,254,421,379,751,256,426,356,912,986,305,058,097,985,639,577,893,496,
934,049,178,431,509,525,130,482,957,362,271,435,031,657,877,502,801,714,195,
883,314,256,771,941,312,207,078,734,849,364,341,300,368,932,270,297,849,753,
032,000,095,739,945,629,876,718,416,258,613,436,092,885,250,638,640,918,243,
881,168,815,264,834,752,047,365,612,192,982,136,926,269,973,890,180,089,219,
943,017,761,579,563,021,817,694,133,984,838,329,966,570,595,358,797,465,965,
149,061,061,112,868,858,034,547,249,308,524,104,464,498,081,614,671,614,295,
422,162,879,659,828,222,926,397,477,647,391,190,255,045,432,912,508,745,283,
015,177,593,206,943,350,228,562,781,954,607,317,947,295,764,571,284,987,373,
918,072,144,949,380,308,331,310,952,603,492,931,545,281,198,991,445,548,132,
287,717,635,982,005,083,707,376,609,995,472,987,496,624,456,688,844,929,358,
627,665,690,682,646,465,830,053,229,031,585,681,551,892,402,860,205,918,780,
450,179,408,597,009,391,539,671,941,824,239,262,888,067,113,787,175,172,723,
854,377,409,617,076,625,171,601,070,658,224,889,938,584,089,961,715,039,131,
487,833,623,791,391,378,295,508,621,602,496,600,893,166,907,104,143,533,001,
806,848,791,498,812,975,575,310,633,211,176,611,409,396,933,787,780,967,842,
297,103,344,803,420,103,170,072,080,505,102,757,950,862,059,342,848,198,090,
662,250,270,648,261,952,628,846,335,766,342,221,028,631,152,497,500,989,836,
341,200,793,456,386,370,656,978,527,677,381,512,666,294,532,783,343,072,881,
826,414,772,588,357,518,897,438,789,608,346,993,510,010,547,216,539,212,383,
238,986,723,253,318,618,428,282,783,190,759,738,221,010,257,247,687,429,785,
385,187,141,155,035,292,347,019,867,197,509,669,118,307,800,361,298,872,325,
146,698,660,462,526,416,227,477,616,443,943,460,080,903,324,433,314,816,275,
802,344,771,170,188,783,310,315,306,875,856,665,885,153,535,747,870,888,263,
255,713,478,478,127,590,223,030,289,521,554,412,441,939,554,664,468,545,685,
186,166,771,447,040,612,089,335,710,432,786,521,187,091,757,991,608,513,939,
112,201,462,391,330,237,370,081,961,948,645,203,398,576,931,226,093,196,594,
657,113,753,868,888,464,334,821,333,636,902,057,485,451,315,063,406,757,940,
437,785,690,890,251,013,139,159,412,161,433,946,649,381,441,505,069,174,839,
783,977,636,049,821,207,066,360,637,013,493,362,383,457,445,744,038,120,922,
718,277,744,537,104,080,935,743,468,109,090,105,842,073,348,194,042,046,131,
727,661,254,603,396,594,659,890,358,096,756,761,047,352,990,057,455,001,838,
124,675,811,841,072,913,289,020,484,346,079,488,019,890,035,493,243,157,504,
858,159,332,113,298,190,712,604,435,511,047,176,265,678,501,472,476,451,559,
485,734,800,632,630,974,410,135,903,809,487,353,250,606,191,126,187,441,344,
340,424,850,336,671,572,030,304,551,411,065,743,296,741,858,276,628,487,589,
886,436,649,828,208,162,732,519,333,976,754,320,860,462,968,982,334,789,452,
532,619,289,209,356,204,589,485,861,207,470,558,349,616,992,845,872,631,880,
948,691,372,210,701,514,558,485,679,242,068,246,950,149,157,352,060,670,186,
668,298,262,236,116,253,626,824,054,983,496,852,617,232,561,813,843,567,048,
785,404,513,611,577,171,338,336,536,613,042,420,341,767,502,654,336,307,696,
253,368,983,649,130,422,362,209,182,119,613,561,559,841,603,055,719,387,328,
851,204,018,964,853,255,541,706,377,140,170,191,542,911,225,732,681,840,089,
174,250,022,772,636,897,943,482,682,504,336,222,606,947,212,261,638,102,501,
219,199,928,258,378,408,229,604,354,126,590,327,946,044,089,913,578,919,054,
375,307,968,093,708,901,038,877,357,271,005,468,693,142,913,577,476,524,371,
365,048,810,619,252,649,396,469,340,624,987,386,383,753,855,602,164,369,132,
700,034,063,262,760,650,332,530,700,520,735,892,168,437,416,704,830,021,723,
143,841,428,500,483,692,023,384,232,498,490,371,721,849,114,374,340,127,117,
350,154,634,235,097,984,462,796,589,596,406,858,914,450,473,847,309,354,393,
177,011,715,879,323,676,710,502,616,577,198,869,988,871,955,769,454,344,352,
075,733,529,680,589,514,492,588,825,478,202,887,570,759,090,328,420,778,290,
212,621,732,777,367,853,704,968,514,896,550,929,310,237,910,607,194,411,622,
164,105,404,721,525,524,374,387,587,419,750,591,761,985,636,377,578,845,428,
210,290,655,487,929,686,829,025,823,256,947,380,298,836,657,447,487,524,121,
134,147,257,976,309,420,519,730,494,596,858,718,454,064,734,083,150,367,840,
591,064,014,876,783,586,795,700,226,413,433,053,239,111,594,353,290,644,227,
474,932,315,488,961,310,373,987,626,129,313,150,559,270,764,219,830,710,860,
119,232,818,966,559,842,144,139,237,969,955,468,114,897,888,846,012,605,385,
371,049,541,273,578,061,126,312,808,832,396,247,726,386,480,857,132,682,426,
013,629,522,467,715,551,485,061,958,086,240,943,457,343,518,521,530,790,414,
157,026,995,706,657,816,404,515,118,287,877,745,861,416,453,697,435,664,002,
882,712,009,506,947,784,704,126,197,812,466,246,273,921,297,211,105,208,242,
474,201,053,535,737,894,806,700,096,299,221,812,563,741,419,768,989,078,862,
762,742,909,637,506,063,085,403,011,580,254,900,296,142,454,992,168,043,967,
045,079,716,555,891,174,043,972,748,580,325,069,634,439,549,467,301,355,011,
360,643,809,651,286,665,167,194,319,007,741,841,566,979,937,119,153,335,399,
759,324,233,268,165,407,642,124,121,472,430,907,168,162,657,780,777,771,082,
570,844,551,273,851,485,667,315,709,184,044,556,866,578,670,976,632,553,310,
185,761,318,142,977,738,702,972,445,828,852,054,030,684,520,235,060,331,546,
526,110,759,644,064,071,518,826,663,496,855,049,907,847,475,978,985,737,712,
522,733,234,740,560,016,552,775,883,038,038,035,742,103,676,295,845,107,259,
558,455,450,726,038,697,176,804,663,396,550,975,216,415,920,871,154,126,365,
724,188,782,021,777,837,840,809,237,597,821,107,821,660,339,754,985,917,568,
716,919,455,061,887,098,280,906,712,616,364,708,042,703,061,125,924,590,570,
613,825,244,217,276,075,155,202,675,145,085,136,777,014,674,330,949,026,063,
425,190,109,966,947,136,174,307,999,237,264,947,108,746,314,531,170,667,513,
838,809,228,893,906,931,058,166,165,336,131,206,359,625,005,625,650,197,928,
142,088,467,398,775,884,045,429,493,995,884,016,648,551,703,759,194,538,040,
338,195,261,214,362,135,226,048,191,732,621,326,186,359,564,377,614,074,683,
958,564,756,227,466,515,173,633,243,385,403,397,137,825,903,157,123,481,066,
812,749,196,120,005,372,914,239,789,477,309,184,741,218,379,931,878,649,731,
596,744,795,692,127,980,817,567,597,758,744,228,860,216,627,087,616,391,115,
258,118,412,943,102,358,691,160,038,445,577,000,310,866,711,153,912,647,026,
037,767,708,276,288,793,263,221,664,112,328,481,756,903,407,244,275,597,112,
383,748,169,961,056,080,886,364,295,335,245,071,751,702,828,448,604,783,150,
923,053,986,084,495,654,231,162,367,408,602,168,447,269,551,918,600,517,126,
334,396,059,057,617,818,266,643,136,551,877,661,133,053,404,486,778,725,313,
594,583,042,285,946,273,019,423,371,987,965,921,184,739,885,926,490,731,044,
869,233,368,829,651,580,503,905,733,705,633,908,808,966,383,645,461,790,226,
259,403,576,997,498,073,187,600,346,841,328,838,987,727,870,628,659,116,857,
278,398,718,618,034,635,344,808,513,006,229,930,100,708,877,477,111,825,924,
328,205,905,487,229,060,571,315,202,685,198,367,360,769,377,437,431,133,799,
115,791,610,257,662,884,406,128,392,106,806,477,261,055,396,793,574,643,299,
893,566,489,054,401,831,096,030,466,171,085,243,091,587,340,279,343,656,256,
017,994,886,333,925,050,186,570,082,733,680,004,359,085,870,705,432,278,080,
534,638,072,186,632,671,860,641,857,134,573,825,871,817,396,817,185,415,592,
854,186,513,602,897,244,003,976,537,026,192,233,738,904,792,124,487,001,386,
427,537,807,687,198,924,322,414,309,604,998,567,665,593,676,089,444,868,380,
408,749,054,183,091,854,050,280,713,714,051,805,785,234,547,994,573,954,889,
793,128,088,844,894,438,051,595,502,414,046,492,955,061,769,013,694,460,346,
307,919,299,257,029,146,820,130,673,948,639,530,572,462,550,870,221,706,466,
985,304,222,373,047,622,674,459,947,711,352,509,434,159,112,991,618,388,397,
824,738,178,188,218,454,175,541,975,141,832,379,802,837,953,222,863,298,278,
459,273,066,916,006,720,190,230,363,155,683,597,421,802,449,841,632,488,201,
236,371,301,943,442,376,368,133,410,665,782,308,253,911,414,896,471,177,971,
374,726,451,545,713,129,566,433,316,714,748,540,122,053,146,317,337,880,989,
397,944,995,263,817,065,959,684,390,567,181,516,891,188,553,526,402,782,749,
712,797,562,454,667,764,721,976,061,363,163,032,189,184,741,570,245,162,235,
962,050,941,363,440,068,152,580,496,675,570,297,605,912,030,077,647,211,271,
401,488,137,129,745,693,087,255,564,888,609,432,484,894,203,951,859,300,766,
676,242,511,987,443,603,617,688,980,337,899,353,547,887,146,015,498,641,462,
306,029,594,595,335,695,279,038,993,111,483,171,193,817,419,267,125,255,350,
670,682,132,667,751,302,005,584,783,962,416,871,173,649,468,129,753,448,407,
924,664,679,005,520,085,137,293,655,863,443,731,790,987,246,717,539,183,026,
862,583,057,108,721,413,007,364,596,280,804,171,574,661,029,493,920,266,084,
981,832,172,392,489,388,962,381,146,663,986,496,307,713,143,841,461,369,860,
493,926,847,006,304,411,668,330,101,500,655,104,709,340,956,271,215,176,575,
449,007,994,522,864,819,589,629,019,203,382,423,884,473,130,183,294,856,067,
716,280,682,171,541,606,518,177,859,743,804,575,816,734,613,845,295,763,943,
269,488,697,298,970,026,546,234,727,436,480,384,814,560,457,195,295,454,651,
363,973,136,561,008,146,538,677,366,650,079,894,239,022,785,000,018,124,703,
764,703,871,041,000,226,972,954,849,892,538,438,787,678,319,014,111,399,845,
491,817,818,314,198,604,346,373,822,048,354,671,849,356,757,717,919,315,387,
207,298,936,406,940,457,228,236,248,222,741,917,673,108,058,874,666,963,793,
311,361,672,627,769,228,530,894,563,305,295,339,531,012,804,568,570,855,955,
648,515,575,301,524,007,455,007,543,828,137,096,288,869,245,365,372,056,380,
665,559,913,340,014,935,181,975,845,007,351,617,813,680,435,804,469,058,368,
362,729,152,392,497,328,918,310,552,905,828,747,375,038,948,201,912,485,086,
833,744,883,738,727,994,209,419,377,568,849,446,661,397,619,923,912,729,004,
513,779,797,760,653,368,121,444,741,676,948,037,326,538,011,036,845,613,807,
299,869,502,440,352,733,259,806,370,760,593,427,864,301,223,639,924,385,016,
041,688,117,031,934,549,538,455,604,442,802,688,795,272,874,142,974,214,369,
351,023,719,129,010,143,774,413,671,715,810,613,094,910,662,973,859,704,172,
744,504,268,242,608,632,410,959,046,880,921,386,189,379,364,421,567,474,900,
466,651,499,640,640,423,932,838,958,146,480,611,309,296,157,472,102,687,078,
008,096,713,147,486,777,691,299,887,302,724,454,757,427,851,788,719,904,863,
647,094,746,883,560,739,943,737,891,838,017,462,131,392,658,083,362,797,960,
197,825,504,806,768,962,463,738,920,758,069,477,227,791,677,413,044,689,991,
645,378,723,149,269,217,242,925,819,629,267,416,562,751,616,803,963,427,548,
599,816,908,019,611,197,432,253,966,705,897,680,598,791,272,307,219,732,461,
137,446,266,755,003,947,040,042,474,486,117,535,295,251,855,282,516,481,352,
233,117,107,314,731,336,028,869,383,404,700,596,027,414,300,279,368,140,770,
096,592,423,217,157,711,996,051,250,151,563,127,401,872,518,740,180,766,999,
705,065,835,134,589,028,246,077,699,885,132,143,119,134,054,513,904,194,876,
397,784,563,913,539,366,622,308,473,043,641,071,090,730,796,204,840,345,015,
103,480,052,251,611,960,239,034,183,134,175,746,586,678,576,954,945,640,522,
060,153,098,513,200,403,344,578,303,419,453,360,261,200,171,364,009,805,249,
785,329,164,322,609,209,398,818,566,602,317,439,380,960,554,856,092,643,049,
514,195,812,859,508,309,876,183,993,123,656,718,857,647,332,781,657,096,598,
790,962,638,124,261,419,338,728,872,728,712,517,765,202,063,657,558,671,750,
351,506,773,457,690,649,084,178,917,035,025,232,208,365,344,966,803,303,454,
852,292,714,106,082,703,416,848,964,218,316,659,620,048,866,725,976,399,398,
094,805,724,159,645,774,102,373,911,108,200,645,341,321,227,360,789,857,016,
704,948,624,355,388,314,478,842,937,617,264,607,507,416,007,419,941,539,841,
587,993,166,518,184,118,768,099,801,267,304,331,808,847,921,125,043,215,912,
508,421,537,945,776,067,427,431,269,584,761,959,104,772,415,447,950,202,528,
817,145,825,365,700,211,445,450,746,585,999,799,534,209,363,988,231,289,004,
255,300,611,070,870,312,969,856,106,141,699,909,409,013,567,132,711,202,175,
900,096,909,018,603,283,511,673,987,979,000,644,682,418,083,315,711,210,587,
602,479,894,317,859,620,926,052,987,565,488,288,457,771,423,701,854,597,756,
600,525,381,233,509,852,680,333,113,320,131,969,064,838,823,011,135,267,503,
105,901,866,170,655,001,391,150,555,597,316,637,362,586,037,860,831,178,540,
741,083,150,879,084,526,187,122,473,250,284,037,241,629,459,054,200,094,221,
937,613,658,496,740,763,900,035,958,412,764,180,729,054,152,593,812,374,787,
148,819,986,901,161,327,608,978,293,241,828,000,207,649,277,681,765,108,653,
794,797,114,481,531,594,226,131,249,247,405,524,673,049,167,736,935,914,617,
869,124,990,636,430,410,901,216,080,229,453,443,889,248,507,350,878,046,364,
855,637,175,670,944,015,505,876,830,625,332,653,570,730,493,547,072,657,019,
385,867,311,027,674,642,952,255,392,229,093,534,126,565,615,453,319,643,848,
874,875,747,029,119,589,058,526,431,235,691,376,273,836,362,236,810,777,487,
112,713,891,212,172,687,487,334,607,836,995,922,266,175,211,476,169,908,750,
162,729,856,597,557,216,692,604,462,340,738,798,656,394,687,017,286,663,995,
517,896,603,673,234,091,101,195,117,772,463,273,664,637,791,874,520,769,336,
140,149,956,906,510,018,206,727,880,171,631,168,189,266,197,015,299,288,187,
364,270,675,494,192,351,442,521,863,618,261,597,776,804,834,791,370,896,239,
668,645,980,805,920,575,896,708,487,540,446,624,152,465,329,312,671,695,556,
991,044,275,121,252,533,969,161,701,324,391,008,977,383,049,413,681,544,063,
437,537,408,796,759,724,103,874,572,715,848,533,132,225,575,397,590,120,632,
600,815,224,778,000,608,635,326,076,074,684,905,070,232,435,450,993,212,958,
451,356,678,933,976,118,213,075,418,070,979,131,290,821,731,026,114,103,660,
364,705,455,181,815,856,399,709,612,750,956,853,804,662,372,712,445,451,677,
324,742,110,439,549,018,737,685,804,564,883,339,247,623,071,137,401,786,149,
789,453,501,535,112,577,123,507,603,586,408,066,877,940,684,684,243,185,144,
800,039,249,045,100,205,692,437,160,914,092,445,414,432,563,381,330,435,283,
246,460,665,743,754,306,878,527,304,559,360,914,640,162,232,004,494,206,124,
370,379,314,133,062,604,192,898,149,333,856,842,143,389,603,769,420,622,048,
904,140,484,883,130,852,417,921,593,223,201,486,851,624,162,181,071,865,015,
192,613,676,900,752,245,101,513,089,965,267,761,885,646,831,804,422,044,526,
327,661,901,286,939,019,822,208,433,485,749,737,181,833,810,396,978,573,337,
169,963,591,482,041,871,322,444,018,736,791,443,729,832,949,684,524,250,174,
912,568,080,131,397,229,783,163,316,034,026,407,293,358,428,974,392,124,112,
525,790,440,962,745,712,446,872,560,834,539,998,950,016,421,799,236,188,908,
466,480,489,484,951,447,108,463,683,359,293,912,266,407,087,376,819,756,624,
282,045,118,580,561,772,577,512,475,197,446,577,612,344,844,862,855,503,863,
600,155,260,173,348,782,056,819,271,858,187,388,749,611,428,680,323,700,239,
030,669,606,998,601,571,767,346,897,980,749,213,863,814,387,762,779,991,188,
117,487,262,936,441,876,757,948,788,781,544,198,739,436,452,305,539,730,141,
989,549,329,044,771,780,014,279,656,954,449,416,221,489,770,299,279,839,715,
426,461,922,417,880,222,561,661,084,615,063,713,487,092,159,943,456,705,999,
531,566,795,267,896,070,220,807,146,449,246,658,817,669,305,419,478,239,492,
333,818,880,235,291,824,618,412,317,220,588,453,902,424,180,768,963,692,077,
206,337,399,057,496,503,477,371,887,527,933,336,785,770,212,706,596,932,541,
948,776,493,847,002,082,258,725,290,011,028,556,931,402,701,208,819,418,940,
904,284,811,501,887,413,837,426,753,121,866,900,734,583,771,059,987,405,090,
218,796,746,965,416,056,429,083,116,689,663,683,562,254,615,654,724,608,385,
797,568,391,034,438,464,547,619,047,865,118,328,562,345,091,246,903,573,233,
929,430,855,732,797,902,017,938,919,252,698,109,323,381,066,002,207,392,025,
646,229,829,571,156,062,768,238,056,863,704,704,681,328,012,922,838,180,910,
336,441,439,430,400,719,251,208,734,162,117,968,683,496,721,919,349,952,550,
057,423,927,700,308,183,999,885,655,532,227,538,859,967,695,329,368,252,299,
465,643,671,912,369,900,502,956,283,045,552,527,633,639,087,431,923,058,401,
040,605,162,398,377,981,176,616,389,387,226,124,319,385,650,290,625,848,116,
599,179,520,156,250,996,029,573,280,649,839,947,773,085,364,017,363,071,314,
826,437,986,810,403,274,121,435,300,699,330,589,705,880,033,207,704,790,339,
703,051,730,705,001,321,054,895,314,337,466,656,690,955,052,151,364,354,660,
324,793,220,127,615,088,959,348,201,178,969,233,103,276,355,904,249,671,999,
922,083,133,322,825,043,283,013,661,164,643,236,789,138,607,336,495,083,990,
842,971,396,355,203,496,351,312,482,658,906,003,493,024,588,779,355,630,422,
098,207,888,136,679,671,773,837,082,567,572,767,229,911,658,380,434,904,605,
838,811,675,192,189,915,951,937,525,657,306,939,763,784,078,594,715,354,137,
534,853,260,411,867,293,344,967,466,353,521,721,302,610,957,242,371,393,062,
547,534,167,424,153,595,269,563,595,434,872,530,476,303,385,557,864,932,598,
539,794,451,062,762,033,879,800,512,241,871,890,470,252,642,254,796,507,963,
371,087,105,139,511,266,531,360,801,909,733,422,618,584,216,153,787,877,686,
620,462,530,359,963,025,504,698,820,451,730,411,290,918,548,010,747,085,938,
622,724,861,530,186,074,108,622,155,025,997,861,733,843,545,023,633,888,939,
561,433,008,727,738,424,635,585,369,323,645,406,139,415,082,733,503,534,334,
819,676,363,230,686,717,030,457,537,870,982,154,727,701,457,318,802,896,591,
179,016,170,441,121,605,416,137,569,868,170,698,804,154,252,588,178,446,924,
558,525,057,460,065,661,728,566,553,783,222,959,528,824,136,475,569,291,067,
368,103,691,836,367,766,502,683,504,329,661,472,906,259,443,588,788,948,407,
759,200,087,662,867,037,528,866,474,512,453,557,186,753,341,228,335,377,690,
019,731,817,761,125,301,202,070,068,719,037,309,847,118,539,873,175,876,352,
647,518,160,100,279,619,195,370,317,582,445,668,547,945,016,165,601,150,521,
610,172,504,543,768,150,490,665,233,526,495,421,767,827,343,765,720,533,040,
454,474,161,784,116,841,989,003,492,819,192,832,707,483,460,872,127,190,781,
647,448,923,382,612,780,033,524,475,436,226,381,491,378,027,937,011,978,366,
612,168,085,102,960,396,779,973,711,432,211,339,957,017,530,025,876,518,371,
990,467,277,279,154,853,172,678,915,053,836,024,111,247,965,579,004,332,271,
246,589,129,192,626,053,283,949,446,550,507,115,469,249,995,564,491,057,651,
913,024,720,501,371,242,917,147,074,705,992,795,135,262,440,659,648,884,211,
177,588,670,471,272,920,088,630,646,393,986,141,220,754,914,253,418,841,663,
408,505,980,416,753,425,648,833,388,699,315,304,658,803,100,298,546,444,272,
174,100,798,357,870,445,472,393,289,547,020,473,199,160,790,564,471,803,693,
458,667,321,436,789,694,506,157,096,587,993,233,464,946,679,495,848,587,084,
957,793,561,515,368,690,428,693,937,289,324,736,296,120,864,138,596,918,195,
225,119,519,142,533,230,691,880,691,313,704,573,654,719,230,011,984,275,086,
365,316,861,366,121,078,743,719,088,743,079,825,031,230,458,990,940,679,368,
922,428,831,074,821,265,640,592,927,223,996,526,087,397,449,780,601,909,249,
362,240,191,833,726,742,570,541,656,346,177,880,735,041,542,384,252,074,378,
949,146,959,472,505,524,682,397,741,046,818,082,888,566,881,909,908,016,866,
975,520,393,768,437,975,581,909,988,962,353,287,342,640,767,725,800,056,707,
781,361,667,860,506,883,439,316,251,333,642,790,904,894,205,852,384,560,657,
580,953,361,531,432,634,157,541,742,594,767,461,733,239,366,998,116,752,968,
819,861,903,557,228,878,413,933,468,367,148,583,943,155,733,980,747,879,863,
297,494,421,465,077,567,191,595,006,283,832,720,792,433,357,646,277,949,017,
925,269,911,368,187,101,856,657,321,970,693,924,981,476,321,451,863,977,837,
065,908,641,629,008,911,306,175,115,723,475,397,734,575,404,670,551,484,406,
982,340,009,167,687,710,044,498,371,527,617,689,494,152,565,988,698,079,998,
524,471,296,977,403,510,509,332,070,691,284,904,216,816,503,502,479,796,972,
384,835,719,783,092,104,006,967,675,759,771,049,517,646,706,170,229,688,212,
014,559,117,797,427,684,698,192,812,272,148,222,088,232,450,103,871,372,141,
674,783,775,803,411,580,328,862,476,485,455,417,694,583,622,508,007,308,599,
096,829,181,432,187,665,561,998,839,807,837,464,334,794,221,937,665,599,820,
497,290,003,465,406,098,918,090,125,494,200,945,887,343,127,128,358,842,850,
318,162,621,959,818,028,803,339,276,762,977,588,609,551,263,137,537,517,421,
633,150,806,389,469,122,533,351,473,105,172,408,137,057,805,837,036,360,679,
248,821,602,284,788,538,531,613,764,531,889,710,090,840,812,965,848,727,318,
884,904,241,854,680,664,482,076,575,702,744,750,349,294,190,335,422,600,677,
039,784,261,701,586,504,518,339,964,272,302,640,686,276,131,888,546,834,104,
430,251,823,378,221,207,397,528,909,431,537,375,552,041,917,319,202,979,609,
975,753,396,037,998,151,373,599,763,203,904,567,991,842,440,865,384,480,488,
320,098,389,119,552,578,875,552,361,901,929,132,271,740,921,362,593,115,289,
248,115,379,050,134,141,143,790,971,503,185,118,046,373,723,171,432,984,075,
308,943,030,873,026,741,091,439,846,507,813,800,577,329,558,808,195,829,254,
877,320,642,499,143,291,059,608,987,056,156,052,505,965,640,705,824,901,399,
258,852,309,864,339,213,486,895,113,859,926,950,261,802,242,695,178,726,078,
747,733,937,842,036,503,163,694,377,704,935,232,214,661,527,537,341,067,575,
824,680,096,666,498,073,002,983,742,583,896,204,252,624,776,070,424,361,578,
586,340,333,770,828,108,128,514,408,376,301,179,133,170,282,391,605,791,786,
978,973,292,377,639,120,212,348,249,468,091,644,393,413,192,172,048,663,224,
396,668,450,278,874,658,902,744,915,130,946,254,473,435,715,824,228,023,323,
472,577,254,253,227,321,263,957,501,706,576,925,625,886,833,355,344,302,640,
645,081,000,802,145,328,025,812,583,767,789,668,173,116,201,624,643,085,861,
039,087,203,979,715,266,628,681,187,474,448,034,889,404,039,198,873,872,343,
633,004,346,191,147,463,491,365,718,211,036,069,353,292,961,114,349,193,517,
418,621,304,619,808,833,050,899,128,599,801,793,411,233,137,051,881,305,797,
169,337,238,794,884,260,831,826,025,006,847,763,771,656,965,101,076,784,201,
769,845,825,950,552,843,741,324,093,895,646,370,174,468,449,732,538,702,860,
272,292,569,740,232,434,707,828,467,068,655,529,906,411,623,629,655,952,586,
831,919,534,179,876,158,436,386,776,968,623,505,005,345,570,961,462,192,148,
597,466,233,231,992,492,796,929,230,625,374,559,245,119,605,571,170,332,644,
333,102,525,114,926,625,428,410,855,438,446,587,200,574,357,272,314,299,019,
084,617,345,368,688,540,618,172,111,650,551,992,232,667,184,953,008,577,171,
517,437,168,095,663,135,632,557,079,599,567,504,766,229,379,624,320,595,398,
927,421,085,867,651,540,411,109,531,954,153,410,465,909,222,627,309,367,754,
828,168,629,094,219,986,847,568,306,351,360,054,766,141,730,575,303,742,268,
642,381,245,673,001,355,402,115,584,317,667,763,332,307,508,914,790,211,434,
554,833,949,971,856,648,691,923,147,778,064,019,490,538,367,327,189,245,472,
945,619,953,223,956,955,512,439,088,558,258,127,452,915,583,237,625,818,478,
535,834,799,992,368,878,010,988,808,092,985,263,763,251,223,769,428,498,181,
449,089,863,977,152,727,218,245,476,806,290,558,141,376,076,765,799,374,969,
406,345,588,818,498,609,418,052,535,272,933,004,899,224,203,477,726,983,517,
613,526,604,773,278,129,901,306,776,576,675,221,762,282,936,036,544,569,864,
660,296,288,577,532,832,547,176,061,189,459,405,848,008,841,335,103,040,196,
989,005,392,392,919,195,769,975,466,997,222,908,724,983,854,603,600,147,752,
789,443,697,869,760,805,043,022,184,380,703,228,032,676,039,858,563,299,363,
446,980,092,376,267,042,864,340,275,755,595,064,499,915,541,076,843,370,466,
363,240,036,207,959,268,454,275,133,216,898,561,788,813,017,158,654,208,592,
296,675,171,647,281,768,319,612,120,021,235,281,202,027,295,862,272,445,673,
719,907,481,508,529,763,617,459,030,042,716,600,967,566,594,999,950,774,905,
932,216,968,705,162,070,843,988,805,301,940,666,737,467,884,751,233,590,579,
068,308,461,867,262,759,521,612,160,406,035,256,912,881,214,012,198,175,139,
288,602,116,924,935,468,566,026,664,767,119,339,824,305,357,265,831,493,809,
604,116,483,896,576,293,588,500,807,976,442,902,215,525,005,857,677,916,808,
975,241,505,277,303,713,817,833,582,627,921,129,997,074,338,355,850,636,467,
391,689,538,536,975,276,299,300,319,555,196,352,004,277,361,358,823,058,766,
862,460,818,668,161,205,129,899,411,676,916,806,184,368,148,957,884,327,942,
542,913,085,280,486,709,745,117,399,987,106,564,008,574,166,095,098,001,445,
291,171,311,055,593,334,641,056,542,946,801,223,025,342,651,028,859,415,268,
525,981,433,002,481,635,015,019,782,870,741,832,255,127,755,137,492,632,066,
728,634,539,864,231,438,270,496,939,502,106,106,729,643,162,679,837,057,120,
566,880,630,744,320,739,996,065,823,392,912,620,083,025,543,449,962,124,871,
795,577,026,371,677,478,787,625,654,169,456,646,045,997,256,414,578,578,724,
691,791,865,368,208,612,198,503,468,373,295,989,031,806,141,462,299,667,441,
674,324,810,795,493,236,337,775,697,868,068,178,621,421,625,427,039,605,801,
352,034,992,872,384,593,782,135,640,588,903,485,134,298,337,178,124,683,225,
230,871,638,513,265,803,436,483,430,107,833,514,281,003,589,316,436,641,472,
037,426,254,753,584,627,064,430,225,015,599,659,683,725,995,920,714,153,686,
408,944,137,207,130,250,327,530,436,975,700,847,346,890,024,362,978,678,991,
667,076,090,831,062,281,396,405,873,221,657,788,798,923,163,992,573,148,023,
371,243,654,876,738,638,574,914,931,858,868,414,431,501,236,569,997,781,468,
855,677,038,467,872,966,321,438,239,622,526,447,436,827,901,796,962,897,652,
620,668,708,409,768,586,210,996,016,026,693,887,851,459,029,875,733,712,516,
824,209,809,917,097,679,062,126,839,370,843,540,860,495,537,436,821,386,810,
436,375,046,822,253,798,345,102,034,399,796,158,164,971,240,607,826,384,517,
165,703,907,281,094,667,236,831,725,660,217,575,451,397,564,776,397,478,959,
130,172,527,146,684,568,376,701,709,258,281,677,441,656,442,553,110,693,218,
017,534,416,031,029,486,689,597,558,696,666,016,446,600,367,254,228,162,076,
430,426,269,785,098,262,098,648,510,139,193,976,298,364,780,420,325,483,003,
212,279,044,258,774,133,543,039,430,364,830,329,704,181,220,096,193,334,754,
840,849,968,956,518,137,776,916,905,373,637,121,316,867,411,069,307,176,616,
258,494,051,562,909,264,590,116,400,915,247,155,729,249,785,463,178,901,643,
707,642,593,848,967,562,299,534,314,278,935,266,828,811,536,842,084,457,410,
221,464,256,385,802,509,628,302,836,766,055,231,711,468,474,475,327,749,241,
684,210,687,457,351,417,844,671,838,083,900,779,471,923,648,995,231,147,350,
098,143,354,624,426,529,249,739,316,188,316,035,115,662,322,307,982,023,079,
279,462,309,280,917,844,322,729,529,528,891,784,144,014,361,345,885,922,122,
620,014,805,862,181,105,876,713,500,683,854,559,330,970,515,354,393,693,218,
099,513,210,302,860,681,696,687,159,802,352,862,169,533,935,989,239,201,401,
642,434,727,788,760,807,271,924,856,826,684,019,141,519,325,416,815,835,858,
707,542,011,810,324,450,227,840,859,072,486,997,000,014,992,637,444,257,542,
598,258,397,222,317,531,313,191,362,129,502,394,396,370,480,845,376,206,195,
693,444,201,512,021,856,210,423,293,735,006,876,056,258,575,739,766,701,487,
988,356,390,049,594,501,504,567,103,190,061,356,275,313,810,748,115,395,445,
532,411,547,215,266,943,776,284,292,818,626,169,728,829,669,114,072,465,580,
874,605,827,190,055,586,571,193,637,172,570,752,396,945,189,607,728,417,022,
402,625,374,447,512,907,959,001,206,979,234,054,200,128,279,037,986,731,791,
725,958,338,023,548,159,382,361,075,997,008,091,489,954,546,992,971,629,219,
469,521,130,930,467,866,674,385,515,183,184,870,196,557,573,877,937,807,906,
508,835,270,919,386,695,018,954,808,021,385,336,114,548,408,717,793,413,373,
910,313,498,475,601,936,565,993,115,768,278,871,959,062,461,765,067,868,988,
291,331,393,713,135,156,539,100,358,856,532,642,908,904,356,473,676,802,383,
037,157,182,228,486,022,944,363,363,086,314,413,251,294,764,803,114,209,754,
695,564,880,761,818,777,848,841,545,534,386,808,254,166,189,691,281,855,152,
299,874,572,073,076,014,677,115,868,153,198,420,238,541,835,267,588,635,486,
361,183,863,460,300,789,191,481,774,992,052,965,795,890,438,222,504,809,013,
278,384,344,285,412,146,926,628,304,880,928,418,482,735,547,642,192,918,017,
035,938,985,983,078,803,714,897,464,627,683,560,602,724,977,838,889,165,985,
664,750,577,200,478,710,503,706,106,856,698,820,039,896,496,109,845,145,572,
686,911,626,030,742,768,564,964,995,005,887,041,492,195,230,322,625,052,713,
304,051,898,578,044,217,393,469,862,306,470,238,287,176,789,761,373,668,045,
580,144,816,594,799,328,016,282,211,036,439,765,606,712,552,604,657,065,181,
045,874,817,781,214,389,965,231,498,715,188,286,156,856,484,954,261,927,163,
678,839,682,062,640,818,494,854,298,109,210,622,840,761,922,974,326,567,925,
418,647,844,763,137,421,548,371,883,978,656,994,762,024,250,987,665,978,213,
611,919,423,115,093,224,889,205,046,204,159,521,521,278,255,046,770,869,751,
041,524,655,339,486,316,895,599,168,923,072,487,434,299,085,300,755,680,288,
497,956,090,794,847,631,649,906,794,981,812,927,062,123,879,810,743,312,076,
209,430,459,788,649,552,674,148,719,851,685,822,793,760,410,663,067,101,821,
880,554,099,166,582,476,568,305,551,539,107,862,892,637,311,687,871,584,200,
052,234,642,713,317,662,705,196,586,300,494,566,733,002,664,340,387,888,272,
110,424,065,254,990,798,667,261,639,916,242,694,316,526,895,843,333,514,051,
687,535,693,318,573,912,001,726,325,652,916,260,271,260,708,903,487,921,210,
065,779,238,381,379,285,097,314,446,835,126,278,305,064,394,516,779,479,517,
083,823,139,478,504,370,486,584,385,503,857,400,044,888,167,755,183,530,497,
775,518,604,680,167,902,138,955,235,048,215,363,209,477,327,440,199,934,790,
915,989,472,737,033,517,420,175,090,008,897,844,149,477,462,777,853,819,322,
695,918,399,897,830,815,518,078,259,019,230,610,379,888,182,398,876,076,586,
303,726,277,251,478,186,246,649,328,633,064,127,833,477,642,400,105,651,921,
512,451,061,260,015,149,258,640,187,901,191,513,650,254,882,899,387,930,157,
495,756,606,944,881,712,686,434,477,286,473,315,596,116,337,669,278,249,837,
471,399,231,148,392,181,020,719,338,848,481,694,115,052,479,410,186,969,575,
251,708,195,078,968,267,071,321,057,656,437,394,327,374,521,987,165,869,094,
385,442,217,939,335,663,580,761,270,576,517,216,643,233,679,771,968,366,160,
686,112,242,513,508,853,385,617,583,781,643,141,332,238,220,059,393,804,520,
236,431,008,958,023,835,202,247,754,074,956,139,457,914,801,239,225,888,467,
110,687,397,051,075,173,697,655,852,834,016,085,694,537,615,457,709,272,038,
366,570,414,630,023,287,009,734,997,462,578,429,866,435,795,019,931,547,721,
921,550,382,879,967,637,627,990,779,736,172,434,662,196,099,779,391,588,003,
161,594,241,532,552,850,801,122,721,975,137,644,190,618,874,825,830,693,506,
766,098,243,279,660,959,373,376,005,019,390,548,187,711,613,453,464,036,206,
865,279,507,180,302,737,942,261,314,988,462,068,018,510,982,654,898,658,143,
854,628,164,257,083,564,942,776,525,289,703,123,245,547,951,527,694,570,404,
180,429,618,335,820,714,476,936,433,649,846,696,828,545,995,131,122,066,600,
300,054,676,954,634,449,117,435,273,309,707,247,409,325,208,351,439,209,938,
558,124,734,092,977,627,897,286,913,994,133,068,436,627,260,869,763,538,661,
297,275,913,165,105,757,405,655,932,517,094,097,578,876,281,274,235,535,835,
575,275,716,533,284,773,216,649,303,440,547,390,876,385,384,383,048,060,391,
844,472,861,110,978,969,227,941,283,288,204,430,118,187,517,216,471,578,998,
789,331,938,444,262,840,981,014,780,259,672,726,628,045,340,307,084,797,649,
850,691,607,424,798,213,945,829,411,834,319,337,780,669,615,920,501,237,870,
409,994,887,633,286,637,505,709,432,825,998,491,721,558,558,631,282,017,599,
452,447,603,141,582,358,429,468,043,386,510,285,601,181,480,966,289,673,820,
743,309,905,884,404,520,844,325,572,458,054,507,919,529,792,141,720,980,645,
059,861,841,132,112,565,661,141,829,613,970,184,922,513,220,197,700,258,368,
860,092,652,764,779,432,976,525,095,922,532,391,685,308,017,508,759,499,076,
889,917,514,277,726,291,634,896,168,770,140,898,851,851,656,688,559,667,091,
912,960,569,682,417,218,642,858,676,620,420,450,465,790,624,054,976,231,638,
906,268,269,524,338,177,064,345,321,634,518,393,056,471,846,127,416,098,161,
992,032,497,704,314,128,083,231,343,725,508,526,125,183,285,391,215,781,875,
555,429,354,300,364,568,325,107,418,239,028,529,959,743,505,454,683,470,694,
211,868,604,244,402,343,868,626,970,542,953,890,735,182,808,673,764,211,715,
042,469,343,716,214,764,678,231,654,298,131,643,307,832,576,705,592,430,373,
669,377,989,915,509,986,669,727,881,392,817,562,287,606,397,724,964,488,064,
688,342,054,795,897,716,019,187,676,363,992,501,952,577,445,368,107,422,914,
572,705,592,530,560,453,563,169,670,534,932,542,757,514,829,816,936,449,404,
892,308,572,989,326,166,417,693,959,482,271,682,214,408,292,024,456,366,273,
797,993,640,743,420,400,906,722,536,266,519,810,573,636,908,905,828,426,145,
490,232,851,627,543,786,554,650,904,808,339,479,993,506,019,561,147,528,552,
025,934,622,873,476,020,299,166,401,969,824,704,994,518,132,095,264,609,494,
039,710,224,317,725,325,736,173,401,219,226,063,903,585,201,892,453,723,838,
833,451,779,809,924,513,546,261,531,382,394,137,837,453,472,401,200,958,220,
070,349,708,829,919,874,637,051,551,450,597,667,040,900,727,785,103,854,236,
643,088,545,319,349,445,351,123,233,503,014,641,931,457,022,475,320,541,694,
212,688,131,729,265,716,997,368,755,287,921,582,996,724,413,616,947,679,333,
865,038,446,644,308,487,465,951,815,554,879,978,774,365,306,420,966,294,451,
172,791,690,915,196,577,634,215,281,194,368,963,576,501,469,642,348,714,726,
789,339,563,643,781,708,116,984,482,461,401,396,551,923,229,542,161,380,873,
820,249,810,787,430,892,730,963,564,125,777,859,426,322,977,352,588,216,307,
745,696,063,000,244,830,272,104,055,906,351,137,455,353,587,542,882,960,102,
347,842,380,977,134,531,724,334,213,143,023,175,976,893,045,218,082,580,256,
423,790,973,639,228,378,193,563,517,172,860,650,193,273,641,782,815,281,521,
493,203,650,648,244,422,449,028,897,238,815,276,248,220,299,281,806,899,832,
359,557,466,547,802,284,382,118,464,803,532,808,132,312,359,929,138,285,059,
098,714,227,819,271,866,344,617,979,807,977,773,731,888,975,195,846,024,946,
504,298,992,191,945,204,024,912,828,654,896,351,025,368,238,118,706,415,030,
543,178,146,461,122,176,086,235,137,636,951,880,381,368,386,811,253,216,759,
630,747,971,273,924,526,663,027,145,549,955,110,308,021,511,896,723,943,168,
669,927,930,335,659,773,542,687,833,081,438,113,914,041,549,643,404,765,134,
212,805,745,810,045,157,183,058,147,988,436,094,670,131,906,320,115,246,104,
743,020,234,779,789,023,769,228,247,945,467,108,210,897,421,495,006,431,160,
877,064,889,381,458,853,439,260,701,799,986,041,119,161,886,804,624,706,264,
811,539,594,957,595,976,990,634,189,862,516,054,625,587,559,503,758,138,862,
697,247,395,584,619,597,703,674,877,860,223,089,319,061,769,784,918,600,696,
458,906,925,603,453,102,242,244,599,954,775,674,359,050,201,420,308,849,976,
467,908,951,400,759,791,667,582,975,948,527,666,222,380,391,457,069,682,058,
478,988,910,729,917,640,891,077,922,223,357,349,009,447,709,991,732,334,467,
628,389,650,702,971,800,647,000,031,162,994,656,712,148,996,755,086,769,976,
659,049,582,163,027,383,187,646,475,734,377,729,103,202,390,164,272,575,013,
928,651,936,389,668,243,444,191,095,649,086,012,822,719,482,995,653,279,964,
949,728,798,844,102,238,079,993,071,003,417,776,825,318,894,704,356,038,411,
391,538,714,819,021,483,720,951,484,139,725,258,672,430,863,423,821,217,522,
054,820,810,575,969,745,335,969,195,229,706,076,011,553,442,464,306,819,391,
757,539,794,682,460,873,239,430,810,838,121,204,148,859,737,429,700,603,378,
963,495,783,150,039,738,804,340,381,164,923,619,213,859,235,119,207,680,015,
705,442,865,758,416,806,042,060,166,207,103,129,062,289,522,069,582,885,410,
353,675,204,736,940,971,299,349,308,543,320,740,603,489,378,960,692,863,042,
818,437,743,620,612,960,914,719,277,209,176,357,106,644,217,940,283,105,823,
421,836,477,969,586,143,678,045,466,506,353,950,790,298,543,224,497,318,924,
952,312,162,838,759,157,677,254,614,092,252,167,265,276,989,208,697,649,813,
188,911,547,976,214,640,975,777,336,585,974,331,687,664,087,879,521,162,414,
509,504,220,479,263,683,508,493,329,048,907,374,254,528,926,174,365,975,982,
847,753,045,984,737,785,825,142,393,966,011,893,627,971,771,057,733,571,935,
414,071,591,360,623,171,308,258,908,712,479,470,562,850,047,257,861,145,503,
398,004,656,833,212,558,771,923,996,700,230,719,509,182,695,293,936,294,803,
444,592,937,200,996,781,160,244,865,656,797,556,507,188,055,793,106,917,052,
686,001,952,575,128,854,435,532,741,529,359,031,486,010,085,382,791,217,919,
919,199,064,082,299,500,382,318,227,816,833,127,721,413,302,469,526,965,453,
444,788,723,527,763,125,276,471,274,051,087,310,978,374,188,398,007,450,067,
890,940,816,420,611,309,358,793,815,619,340,142,168,781,738,880,989,437,124,
676,924,115,126,433,019,793,398,552,875,878,838,278,774,864,368,524,468,590,
039,116,803,793,458,528,505,067,672,749,130,361,813,034,843,432,678,486,316,
017,844,822,793,886,710,084,639,299,263,898,240,071,617,138,650,510,292,864,
590,095,048,095,876,121,407,200,339,798,535,864,817,622,677,200,251,219,290,
964,920,985,594,131,042,907,435,016,076,265,016,708,025,368,464,078,631,937,
650,385,044,258,809,821,507,424,370,184,982,271,022,210,272,740,122,307,153,
903,476,811,804,456,732,838,248,472,084,159,901,606,048,208,432,491,431,809,
666,406,305,033,335,496,381,146,620,760,370,089,185,259,105,737,001,929,225,
576,506,672,513,984,066,139,543,723,734,078,164,082,023,129,740,821,170,383,
984,922,238,713,366,243,578,638,962,026,809,126,482,440,255,075,452,207,825,
192,789,456,410,380,848,910,209,920,578,769,586,236,872,245,721,803,574,323,
733,062,101,450,004,884,167,979,995,045,572,815,387,537,398,305,848,293,827,
316,454,728,148,565,938,514,667,791,136,495,369,991,130,397,553,769,052,873,
001,670,326,877,399,880,109,663,735,833,763,054,246,755,145,438,768,281,505,
144,415,078,631,189,330,650,784,333,378,985,082,982,437,824,751,164,847,753,
405,081,323,861,225,006,794,820,585,266,995,101,220,156,970,157,008,362,853,
159,568,448,221,167,121,013,993,297,024,125,334,347,914,394,289,842,526,299,
752,090,676,916,520,898,023,783,964,667,948,766,130,344,324,543,483,759,388,
741,962,702,026,422,505,447,462,541,061,096,705,942,242,342,995,943,550,281,
683,551,610,734,668,981,565,691,224,282,866,176,446,099,453,000,028,999,451,
222,974,683,423,010,334,364,936,397,101,753,327,661,590,117,175,886,384,945,
655,873,435,575,482,198,390,811,969,072,919,342,971,177,719,939,551,703,877,
507,070,121,540,706,467,789,648,381,647,944,644,927,116,647,813,014,890,751,
051,494,800,430,818,127,840,342,172,504,971,321,320,012,404,503,541,077,687,
037,528,281,108,977,561,881,972,985,025,340,736,285,553,141,593,452,861,540,
041,082,158,431,847,669,069,822,637,834,793,099,800,150,968,379,649,812,955,
518,121,179,002,478,568,961,772,807,668,524,932,506,004,386,127,250,055,223,
285,815,830,275,764,304,249,669,481,042,208,803,980,155,841,699,782,887,335,
000,032,218,229,859,014,910,953,026,200,510,627,944,299,253,522,593,995,575,
538,855,934,006,917,446,751,628,940,693,844,577,081,556,525,268,075,532,284,
609,682,031,661,212,153,243,355,859,859,174,530,858,276,170,085,564,467,437,
951,928,725,785,983,547,990,696,874,218,314,762,423,045,865,102,495,566,029,
534,877,106,747,352,104,436,004,660,078,954,435,384,902,074,017,384,564,709,
593,290,403,330,849,834,359,906,076,009,889,738,209,845,282,492,015,804,207,
340,812,351,685,751,450,599,495,636,586,862,860,938,894,596,143,012,862,242,
893,934,019,851,350,711,627,822,032,071,975,153,261,801,692,565,278,172,676,
622,775,366,695,190,786,767,060,270,668,905,325,777,307,443,804,358,195,550,
277,713,546,073,030,896,270,507,168,447,128,704,554,241,049,926,973,467,187,
321,338,715,683,802,869,202,336,337,236,385,156,607,457,294,334,270,511,917,
089,132,627,060,020,741,576,161,516,114,416,976,348,110,804,801,088,663,972,
907,616,574,292,865,947,356,959,877,378,293,426,603,559,645,226,226,265,106,
748,227,461,278,010,563,489,484,430,947,303,989,482,935,029,714,089,678,546,
792,974,135,804,627,609,906,002,056,139,591,787,306,890,908,091,911,479,767,
554,760,217,790,792,549,446,776,178,590,741,198,734,445,006,978,938,507,974,
633,134,057,408,934,200,283,839,084,116,863,884,375,309,437,044,831,101,924,
409,761,140,228,987,946,070,758,109,856,106,256,299,723,519,941,886,742,741,
868,650,831,194,352,933,071,635,994,219,262,946,516,236,468,937,383,116,982,
663,177,366,700,004,413,666,806,531,236,640,546,325,679,916,670,321,450,591,
615,951,580,873,438,864,250,336,363,890,001,229,828,322,562,460,838,365,885,
588,071,049,439,558,217,029,217,394,263,317,759,175,510,552,400,854,916,653,
387,844,740,058,407,174,682,053,611,091,025,593,536,882,596,629,222,156,411,
106,291,762,364,917,393,234,765,321,161,389,234,588,800,812,459,667,443,069,
842,705,006,066,887,320,960,608,046,796,981,375,050,735,093,859,882,410,199,
407,595,717,121,897,513,492,156,688,600,303,513,710,038,925,521,331,442,542,
887,279,431,526,410,868,322,510,792,175,556,428,029,905,325,838,827,389,246,
154,778,573,890,778,032,132,646,560,788,524,370,703,277,837,936,317,901,202,
358,074,965,477,991,155,229,829,971,783,679,442,774,513,503,060,507,835,667,
656,505,253,495,934,776,683,055,804,931,065,317,593,990,235,682,151,280,746,
337,161,203,257,025,308,039,177,336,817,525,546,606,676,266,646,588,091,991,
009,171,687,643,347,105,350,779,105,818,791,458,923,326,337,298,858,630,983,
192,804,364,867,433,472,998,375,001,950,015,584,387,620,026,318,872,531,769,
222,304,660,019,461,694,112,441,130,306,057,608,991,759,489,194,972,267,823,
018,923,586,245,559,849,208,704,624,385,022,123,995,754,430,638,469,603,200,
862,375,112,815,044,226,844,511,814,230,624,777,053,682,068,865,249,960,875,
625,041,967,268,768,659,244,099,791,829,364,939,303,031,420,452,163,245,832,
090,511,270,262,782,892,100,749,861,818,057,914,981,628,900,818,512,426,547,
040,500,779,291,207,321,707,286,782,050,988,982,544,470,822,151,354,150,599,
238,745,186,799,023,751,745,053,106,723,021,040,784,462,122,343,619,744,937,
392,750,610,826,201,185,332,818,260,657,405,087,114,978,640,514,778,574,380,
501,785,728,116,730,063,370,638,037,156,861,632,808,063,270,209,908,466,707,
987,629,961,771,417,400,078,003,822,447,496,354,485,722,692,151,903,550,635,
841,094,364,019,091,215,795,778,053,283,291,160,137,217,633,935,656,353,271,
124,988,096,628,352,056,367,885,832,297,001,649,419,341,368,335,652,588,724,
997,746,920,371,138,145,352,223,934,662,850,285,755,490,684,155,441,794,743,
712,965,652,382,568,144,415,507,257,130,572,801,382,943,745,848,793,692,957,
906,101,837,836,587,226,339,790,834,575,832,967,981,666,143,615,811,793,720,
664,880,682,163,393,723,239,854,061,690,560,187,191,866,694,270,114,510,084,
907,679,728,764,543,820,029,880,896,839,611,503,144,399,165,621,142,406,893,
516,616,075,284,641,796,128,587,920,156,339,168,663,487,874,238,156,210,323,
401,529,829,722,572,888,583,653,028,682,558,883,045,309,104,231,083,697,497,
014,234,845,300,085,751,962,833,731,397,745,575,042,769,324,420,196,250,660,
275,539,535,795,134,870,666,146,941,838,212,813,028,062,545,795,412,914,938,
459,389,908,064,079,977,038,486,013,610,413,638,511,455,391,500,071,368,392,
706,829,053,542,946,917,345,015,587,150,901,881,770,414,564,398,029,187,514,
712,782,761,730,619,211,040,257,913,661,406,581,263,479,857,242,025,393,733,
398,157,002,806,344,890,751,741,498,476,835,745,725,082,121,739,111,131,614,
794,254,315,624,171,339,253,094,646,809,345,959,852,831,023,966,126,856,417,
955,270,283,606,230,939,170,263,604,818,514,814,862,251,013,925,392,433,164,
247,654,442,624,196,484,454,879,617,107,686,195,328,301,719,540,372,459,587,
376,702,120,210,522,736,351,384,440,865,664,682,479,784,952,652,651,023,692,
324,791,047,842,578,149,006,048,974,408,675,391,331,782,025,457,183,865,788,
758,809,059,602,293,738,673,240,163,558,471,695,229,165,006,040,820,902,640,
169,313,286,534,199,627,273,994,260,017,084,718,779,196,933,927,709,385,373,
814,439,724,086,740,788,504,071,299,871,222,707,908,275,102,566,104,605,310,
566,154,026,899,966,083,105,814,608,277,767,540,847,098,673,516,001,438,719,
038,778,668,806,679,783,688,109,794,727,525,789,676,281,812,887,567,482,656,
597,299,696,405,729,560,761,109,124,745,355,731,934,690,345,403,712,075,558,
074,978,356,312,023,541,695,585,155,270,119,817,445,271,167,845,662,021,733,
472,412,812,413,368,117,367,085,644,089,227,891,336,319,752,892,374,246,541,
992,820,790,266,671,411,272,830,708,327,885,028,897,782,931,352,469,832,767,
877,247,701,801,186,075,006,494,221,021,852,877,616,277,253,913,257,876,855,
730,295,487,857,584,590,380,765,906,084,736,854,603,071,364,515,799,159,457,
663,268,809,369,371,667,071,186,051,270,690,448,560,793,139,815,374,599,676,
748,764,357,180,608,557,732,417,206,735,305,568,326,545,754,855,677,900,021,
947,614,373,514,328,360,479,343,892,332,479,796,365,543,855,003,417,863,578,
074,341,848,444,524,061,804,454,456,606,753,397,990,017,491,808,339,474,309,
650,165,614,376,543,121,454,946,674,284,937,634,267,631,338,163,357,095,281,
850,740,832,748,716,573,380,693,255,966,759,993,329,818,500,313,231,596,280,
463,052,538,924,605,608,871,988,053,424,751,620,310,967,152,927,460,771,915,
368,984,275,591,933,916,275,754,088,923,572,013,504,360,161,103,183,289,215,
204,633,147,650,944,676,959,409,289,569,985,446,732,756,678,906,530,554,429,
482,294,991,158,225,231,162,938,577,012,209,284,372,157,839,857,255,213,230,
297,082,798,350,833,160,603,153,630,088,212,111,140,497,245,603,692,809,124,
634,038,796,935,380,761,643,340,838,356,415,594,134,769,350,713,842,643,652,
169,034,718,372,740,162,385,014,396,597,593,164,000,733,736,693,891,933,555,
791,253,328,875,429,815,809,558,092,208,529,924,140,465,829,699,510,272,011,
307,231,097,653,806,480,482,644,398,391,898,176,494,510,854,870,984,418,861,
965,116,383,499,719,156,287,102,194,311,558,713,643,926,486,522,123,787,562,
185,340,144,101,005,864,000,075,846,723,234,091,395,781,289,331,056,660,885,
698,776,044,996,046,123,600,889,164,073,068,869,664,166,817,643,503,347,719,
233,319,773,415,362,387,471,209,957,539,941,865,954,286,015,168,493,458,733,
145,969,211,154,564,404,554,797,261,342,920,306,953,463,180,236,477,635,393,
973,480,657,432,316,529,848,538,562,823,417,144,429,572,565,630,603,898,608,
558,691,908,570,505,401,230,254,193,929,608,604,558,921,047,546,186,982,964,
205,390,691,181,981,780,812,313,520,896,253,862,748,675,996,326,897,306,314,
083,593,370,071,893,960,981,164,662,656,746,547,911,580,390,320,359,594,063,
148,045,697,495,178,423,579,289,591,474,054,597,262,082,095,152,694,523,459,
564,131,463,447,694,016,564,818,243,864,136,701,055,963,703,803,611,777,495,
660,704,910,220,586,253,674,926,788,678,300,218,930,203,920,749,204,286,706,
182,200,115,040,622,973,067,001,632,411,974,607,022,254,336,286,594,511,243,
727,482,630,161,281,243,292,938,079,684,494,025,608,876,923,146,081,457,550,
578,812,654,189,396,825,600,417,313,708,273,630,851,744,043,824,382,123,112,
683,430,253,079,228,478,410,394,007,693,685,685,030,905,426,684,686,500,397,
351,480,228,573,407,297,192,227,270,572,096,648,343,397,569,952,396,489,208,
170,117,085,241,479,640,878,376,734,936,695,419,079,767,925,765,215,987,656,
118,383,993,814,945,059,397,263,398,394,885,110,234,099,323,072,664,111,786,
675,257,785,369,436,016,536,865,224,095,870,751,294,328,568,257,404,850,941,
405,481,070,417,862,534,460,417,480,419,428,329,881,644,676,475,151,851,593,
818,608,500,676,204,350,027,620,731,400,733,313,077,360,921,311,885,360,328,
783,965,870,308,103,203,540,733,239,232,807,497,412,361,460,528,061,362,493,
544,274,931,340,562,951,367,668,536,165,909,084,295,160,878,440,615,552,910,
166,822,818,745,269,752,049,693,759,465,854,971,526,789,514,516,968,015,056,
932,725,567,312,561,543,886,536,407,265,944,213,402,161,976,496,579,303,524,
327,629,683,584,175,433,584,321,204,749,775,324,049,798,807,454,104,357,546,
065,871,565,348,333,289,839,328,743,142,001,905,691,468,017,016,761,397,585,
279,692,105,461,318,343,312,867,865,787,547,637,806,461,881,835,479,116,135,
640,794,680,163,064,685,135,960,523,433,420,469,535,755,118,997,127,047,311,
161,579,891,202,482,624,020,266,901,235,041,169,524,260,468,600,724,262,217,
998,553,699,046,826,231,417,760,460,121,360,515,481,321,872,034,051,396,254,
848,972,434,814,400,853,370,726,306,368,710,934,891,577,288,355,555,002,636,
777,165,994,564,980,398,943,748,342,439,024,838,959,585,988,954,546,299,670,
557,910,697,785,932,524,048,668,766,867,863,816,769,027,368,365,870,766,064,
724,371,864,005,743,084,998,183,656,713,115,904,142,573,182,473,007,618,644,
513,218,853,123,453,012,519,112,607,016,193,925,605,321,229,137,966,537,641,
216,919,387,472,968,145,086,811,450,221,120,236,121,187,802,632,035,096,855,
461,159,073,761,569,145,113,519,274,649,636,331,262,387,167,011,912,077,012,
375,667,325,974,330,610,119,851,045,241,640,293,108,906,954,655,814,716,958,
286,738,905,014,491,357,116,349,519,926,191,391,048,688,498,882,487,915,876,
455,150,689,493,712,504,347,741,472,033,449,094,954,788,447,477,045,413,466,
365,310,337,238,388,160,889,296,088,333,407,743,141,010,545,677,798,106,549,
364,525,635,399,146,875,470,887,771,528,264,084,564,196,819,986,611,525,525,
535,212,588,148,414,826,610,567,852,938,610,892,532,530,978,971,356,009,536,
490,889,176,554,193,976,590,537,856,208,816,468,947,714,411,464,141,234,307,
158,488,565,499,817,763,361,362,702,111,798,930,558,471,714,489,970,660,970,
987,499,086,444,264,407,870,386,616,609,084,366,030,380,644,864,704,388,631,
972,778,222,526,731,447,004,450,671,352,659,154,165,690,123,742,493,679,614,
788,693,933,316,700,538,998,316,593,827,706,495,803,527,720,990,326,813,384,
261,151,859,840,572,650,151,463,166,154,295,210,724,780,833,910,330,635,084,
343,391,252,011,141,606,204,683,979,548,248,751,733,613,280,708,502,561,618,
524,149,533,193,270,220,927,425,302,370,900,103,156,799,330,554,050,578,361,
757,418,540,479,781,933,345,184,583,605,848,659,432,537,936,620,408,002,017,
923,363,284,153,658,166,026,165,681,924,556,617,332,949,299,119,141,769,703,
842,556,357,909,295,248,409,406,696,761,513,451,036,097,595,701,232,743,880,
487,879,075,395,983,007,243,644,533,972,182,712,441,959,397,806,199,003,382,
211,889,780,876,728,811,727,241,534,186,614,594,765,688,324,318,417,131,979,
813,867,711,952,963,147,297,189,815,554,904,455,195,418,714,836,985,690,173,
738,159,928,298,375,182,043,296,403,526,832,332,419,150,900,102,810,618,413,
996,276,642,743,241,490,687,403,543,483,037,890,560,555,675,365,200,535,515,
322,329,280,793,013,546,092,455,991,925,925,067,060,633,175,809,220,743,988,
651,583,522,100,396,079,162,677,348,322,351,872,967,975,980,952,576,806,068,
932,879,479,271,843,061,813,437,391,628,551,257,901,048,974,381,836,293,772,
145,950,744,314,986,096,090,707,848,982,686,580,581,068,735,287,618,689,197,
589,331,288,611,654,699,397,933,717,068,557,549,375,897,321,460,612,681,543,
697,764,871,771,382,967,032,879,828,414,176,912,351,163,528,017,878,553,089,
071,187,441,189,773,575,571,533,192,938,112,118,340,216,778,397,357,383,440,
649,224,793,540,565,299,562,271,021,856,811,117,726,621,284,701,080,639,492,
112,423,937,821,215,586,432,876,623,868,879,896,396,077,567,882,144,784,038,
146,940,439,719,309,135,609,345,722,230,300,901,436,518,679,007,132,139,979,
230,406,915,396,027,933,148,885,059,523,438,739,693,439,879,369,473,111,416,
310,355,282,223,304,960,018,288,872,461,843,563,099,344,391,188,150,152,325,
690,311,017,534,572,784,755,903,702,809,181,223,591,156,521,361,670,580,794,
312,455,040,434,059,601,235,946,518,937,096,225,713,977,015,588,232,494,082,
373,733,996,860,142,697,949,207,032,117,285,343,371,434,394,187,684,539,765,
166,968,842,989,955,316,632,014,695,389,034,350,391,281,278,887,276,783,281,
907,221,167,989,794,435,365,503,906,900,641,751,276,894,576,396,892,325,963,
054,758,502,702,739,962,063,715,793,760,691,239,989,513,499,192,537,989,436,
333,543,533,841,170,770,548,346,071,369,933,058,369,723,628,615,864,575,834,
675,832,231,300,366,638,152,597,290,196,834,737,412,875,100,091,516,359,882,
178,714,563,175,127,970,456,783,445,867,520,754,924,291,123,996,133,580,610,
079,634,037,431,261,934,515,994,824,809,768,376,638,062,141,726,258,709,327,
430,997,296,942,724,560,088,707,393,820,833,489,337,266,617,212,795,805,821,
674,880,461,418,613,479,919,966,301,056,667,158,451,687,975,789,854,379,996,
973,195,380,858,716,417,768,442,416,136,943,883,442,171,810,006,269,957,007,
143,920,093,045,171,455,843,676,141,541,150,933,401,049,191,573,984,783,815,
248,064,483,945,985,355,723,493,382,515,029,020,620,602,117,954,376,469,525,
110,322,375,400,846,748,723,471,639,005,503,961,699,728,419,923,259,941,627,
492,363,832,264,698,583,423,321,224,653,913,746,735,480,197,742,292,798,774,
233,491,802,564,460,916,129,575,023,856,241,486,690,132,049,710,917,181,180,
901,188,427,022,495,513,328,854,531,145,881,924,586,167,306,325,437,535,720,
817,585,121,156,373,739,630,829,049,556,748,032,909,882,684,228,720,409,664,
173,583,387,345,444,477,842,801,534,188,377,145,303,958,887,895,299,295,257,
538,033,548,611,231,754,204,061,659,560,923,420,992,082,764,480,900,038,556,
431,621,562,937,856,226,376,510,216,572,427,957,108,482,455,272,073,504,120,
665,139,760,380,444,440,905,619,246,517,123,213,230,268,837,969,830,268,874,
684,451,419,443,830,203,861,158,003,574,324,835,028,283,790,963,488,306,900,
338,537,587,528,265,174,412,039,980,578,852,328,992,560,197,640,585,236,420,
548,615,753,155,052,499,179,528,865,451,534,443,534,669,384,008,078,922,743,
746,048,030,721,919,388,826,694,530,427,700,304,511,108,729,717,255,898,165,
260,353,877,877,739,896,474,018,613,746,341,468,557,686,717,613,479,442,662,
069,003,830,324,697,289,223,237,896,466,264,271,512,520,379,619,949,437,342,
477,209,412,273,405,477,957,583,413,514,771,243,756,217,850,210,785,403,667,
509,677,409,005,965,643,848,859,419,390,087,942,390,414,195,276,977,862,578,
639,555,165,716,740,412,345,157,559,492,476,643,145,027,831,131,411,638,979,
182,036,211,129,105,583,074,166,957,154,234,210,051,163,612,120,511,105,802,
170,444,977,958,165,448,436,322,108,422,718,963,367,739,738,921,584,378,996,
856,122,293,455,224,599,206,106,309,741,125,045,511,980,919,583,149,049,755,
473,178,798,757,585,589,522,285,352,981,633,287,718,103,751,959,587,122,302,
344,141,701,718,713,034,496,098,888,764,450,891,263,251,562,460,154,726,813,
852,503,035,966,162,974,010,423,568,875,551,850,041,478,300,688,958,109,174,
102,036,477,881,027,004,918,988,433,710,814,517,564,733,749,725,673,912,388,
282,213,489,657,478,096,977,040,160,003,816,621,846,631,558,006,802,067,381,
784,737,610,333,663,262,913,647,058,756,320,202,844,633,961,873,017,412,026,
052,037,651,711,888,501,195,919,478,404,123,465,427,332,424,641,698,390,705,
268,424,437,491,451,114,257,988,950,781,444,662,199,105,858,177,808,629,421,
640,963,954,147,912,355,829,648,985,371,126,960,496,262,564,381,917,613,892,
821,019,862,897,840,822,111,954,586,554,275,789,082,057,797,069,932,718,102,
650,641,880,313,343,520,719,435,357,669,213,446,486,232,653,774,414,745,971,
936,069,485,718,668,766,236,013,156,935,915,361,512,751,930,249,450,829,074,
387,895,583,376,688,783,181,048,764,209,231,159,657,422,492,605,459,648,618,
780,284,536,412,740,023,708,275,739,067,058,038,496,077,578,213,676,190,518,
468,578,001,917,283,517,517,002,141,893,457,755,944,812,855,325,241,793,841,
473,601,162,780,289,465,455,845,739,192,074,934,873,948,209,889,531,045,883,
516,821,454,538,477,894,188,729,283,388,353,512,125,115,751,622,180,425,710,
829,533,456,728,333,088,352,523,794,089,553,786,131,068,998,476,539,959,015,
823,325,453,165,993,721,363,649,024,441,770,601,812,675,706,332,767,336,620,
334,416,733,104,465,046,447,715,292,500,961,351,414,163,885,635,252,344,488,
242,655,379,932,339,251,336,393,104,948,593,676,542,284,734,110,212,587,206,
274,571,988,981,450,978,581,712,488,939,463,407,029,000,247,922,975,880,010,
120,682,506,573,566,051,905,172,937,345,095,099,377,685,460,491,762,961,277,
376,699,661,474,579,167,021,828,090,924,219,947,634,145,442,885,325,227,003,
703,414,157,443,824,107,505,538,044,350,519,007,397,783,125,054,225,790,125,
674,861,888,980,023,506,895,781,785,184,580,574,810,758,043,736,932,302,557,
461,215,642,846,442,539,194,664,849,940,834,757,098,311,561,073,140,244,912,
776,133,442,724,121,838,534,999,267,552,636,175,164,439,137,031,702,151,524,
244,554,387,422,718,877,023,702,720,292,593,785,321,988,668,409,192,746,628,
459,492,952,796,065,459,849,274,003,101,715,630,722,504,138,344,905,123,419,
895,623,622,409,884,700,321,012,369,966,580,987,427,726,318,284,195,822,202,
098,782,507,095,228,661,337,161,769,790,029,654,093,208,263,821,962,737,308,
018,877,316,382,677,782,818,771,950,424,103,545,594,096,204,535,023,108,681,
945,168,963,395,509,113,231,576,796,434,944,898,017,513,196,569,461,300,644,
741,856,937,989,048,486,170,069,294,378,291,783,706,423,339,866,779,256,998,
197,830,245,823,864,648,409,205,193,614,881,281,647,675,113,668,464,997,078,
821,976,662,694,472,069,693,071,169,644,469,540,344,990,214,061,744,763,790,
523,606,310,041,847,551,804,665,959,435,330,435,960,186,571,475,330,099,615,
861,295,373,588,607,352,048,145,436,071,924,788,567,086,306,375,512,256,392,
258,185,642,058,090,807,706,464,852,773,835,207,132,824,843,509,735,245,933,
125,095,692,656,740,593,646,492,771,700,500,015,540,902,743,777,443,676,276,
723,876,184,063,601,906,689,219,786,130,409,747,261,578,236,054,759,375,631,
134,518,432,812,887,321,028,629,841,700,767,802,612,384,433,929,191,168,819,
784,427,523,022,744,593,809,579,226,841,232,661,348,866,147,653,486,837,500,
999,574,613,799,009,610,212,738,336,866,285,217,249,460,312,338,415,576,359,
075,976,859,959,044,583,613,870,803,762,376,056,916,502,386,038,194,928,602,
164,776,446,855,374,436,069,691,395,159,327,149,649,065,504,557,456,888,670,
650,527,870,347,863,627,324,816,376,859,326,497,902,224,873,271,598,017,142,
966,200,539,105,738,606,081,448,209,880,197,584,881,988,487,910,671,414,490,
151,042,960,757,197,794,351,032,484,640,888,653,256,055,593,465,307,008,717,
568,953,190,584,035,865,517,638,925,131,256,626,520,920,624,452,277,793,720,
704,874,382,188,123,773,562,783,235,017,926,910,016,698,407,743,401,821,070,
371,740,278,719,343,090,538,023,718,730,594,156,518,506,148,368,465,591,443,
498,555,984,475,608,075,576,176,630,107,131,760,006,723,650,448,226,382,690,
968,182,715,260,980,501,434,967,205,280,129,331,876,514,206,886,370,858,984,
195,911,832,525,791,932,800,098,671,056,089,804,852,064,572,827,576,758,665,
917,858,256,894,325,611,325,407,226,632,366,085,951,716,585,164,054,427,334,
586,060,008,886,317,959,232,764,039,268,933,672,087,133,216,342,789,274,443,
293,061,060,483,486,272,460,364,251,597,204,989,509,728,327,103,057,930,434,
644,302,905,677,694,160,404,439,968,879,829,701,320,739,664,954,814,465,830,
172,245,120,462,536,142,424,866,282,428,101,503,260,438,889,457,799,146,654,
334,861,063,408,297,989,204,713,369,857,263,877,309,085,686,706,859,518,319,
767,522,075,167,696,690,534,225,307,060,106,382,414,230,380,182,984,267,767,
144,850,402,715,155,161,171,319,553,230,277,980,728,738,674,651,186,404,239,
215,221,387,307,368,633,101,208,853,585,971,319,708,968,017,066,412,296,257,
473,302,692,235,066,742,573,052,352,052,004,525,071,008,229,256,641,974,163,
693,274,486,952,769,270,675,424,835,924,643,996,553,826,267,124,009,453,973,
576,531,113,148,160,971,449,509,299,901,075,322,441,105,013,790,242,693,144,
486,415,915,714,127,926,932,776,615,738,497,165,183,935,863,636,530,148,583,
441,811,244,502,308,662,153,305,000,354,162,001,231,760,284,190,838,194,828,
979,151,505,606,619,518,757,250,696,167,141,243,075,835,653,506,823,144,499,
302,650,438,004,142,537,538,129,826,274,765,690,597,232,729,676,190,653,101,
448,517,284,090,154,828,285,538,728,677,263,155,872,188,386,724,748,070,995,
688,723,496,607,129,280,611,670,782,922,189,028,091,448,162,757,269,991,009,
169,786,250,023,919,061,070,332,701,351,489,903,937,469,966,419,039,634,881,
604,924,750,992,313,738,201,698,936,718,930,322,124,580,487,750,461,065,391,
810,776,917,045,400,740,485,822,309,455,307,888,376,005,650,648,537,018,029,
155,345,781,648,962,560,646,030,541,556,993,288,448,749,303,206,415,391,234,
895,361,343,145,122,896,397,381,175,376,175,468,536,911,666,459,744,723,224,
168,861,502,017,453,099,765,680,418,997,049,562,951,874,877,183,289,815,433,
605,185,634,298,543,113,589,850,525,472,096,294,127,598,659,489,177,328,835,
591,559,001,325,574,165,782,112,614,550,708,668,413,434,861,318,658,137,385,
417,493,027,794,936,861,920,679,002,205,944,714,658,280,322,615,124,708,251,
270,801,262,323,361,403,885,760,252,260,728,925,040,801,909,886,899,563,208,
329,256,451,853,261,138,068,860,079,199,628,316,220,423,312,961,873,826,196,
747,079,887,915,323,488,969,608,302,103,138,464,408,511,280,384,398,930,953,
799,548,106,419,694,604,693,062,967,205,909,712,269,896,860,322,244,047,552,
803,852,212,398,323,665,506,594,879,656,997,763,727,057,017,324,346,041,609,
801,503,436,885,212,203,884,615,311,692,704,730,367,416,198,866,404,016,946,
672,311,187,376,779,319,020,162,772,629,591,875,368,148,445,612,626,948,171,
687,006,064,916,743,068,447,977,257,907,424,921,221,444,292,265,286,683,232,
245,789,709,675,860,612,039,593,471,247,645,290,016,073,726,220,788,911,651,
439,055,808,294,685,557,885,133,455,219,696,124,529,401,228,316,724,701,067,
272,640,307,855,418,995,639,255,695,552,163,494,162,679,106,672,706,032,581,
289,405,555,726,413,944,793,006,853,102,473,774,496,895,634,583,190,189,453,
827,567,018,880,050,500,435,447,023,323,585,813,171,805,267,143,503,257,713,
901,557,471,406,069,875,364,254,022,003,427,469,092,016,471,167,105,050,653,
200,241,826,497,330,806,178,794,045,067,284,391,858,524,224,774,995,550,536,
508,183,212,778,687,391,117,375,206,484,097,431,703,644,307,520,388,606,968,
324,202,015,670,995,681,352,770,794,284,470,727,779,625,254,355,367,996,297,
315,225,022,578,829,939,682,598,645,066,071,711,366,728,054,043,293,313,377,
250,448,288,246,448,059,120,870,496,114,338,168,503,655,974,570,370,173,791,
049,569,334,595,115,213,902,196,903,315,480,875,237,543,117,310,761,925,263,
903,961,251,918,999,657,721,589,052,168,268,196,351,491,580,140,147,185,050,
057,940,717,585,477,721,605,219,700,200,045,799,563,255,296,484,816,925,169,
358,865,771,012,591,959,646,371,772,078,592,135,293,991,073,842,287,386,108,
137,428,718,657,656,485,908,508,396,039,835,001,596,707,143,104,519,635,556,
496,405,126,401,988,447,718,818,373,264,306,941,215,772,671,618,765,496,135,
496,275,831,067,884,321,044,361,288,546,216,337,809,690,588,394,970,344,074,
701,436,697,495,362,100,169,738,420,441,817,395,089,612,753,657,356,304,648,
477,884,744,378,932,192,358,353,558,390,462,792,455,461,831,613,107,646,051,
947,041,733,317,924,933,263,583,608,575,952,823,490,961,410,402,748,431,429,
789,907,052,790,596,454,312,069,065,299,570,475,958,175,252,133,964,224,373,
883,850,247,927,286,019,968,087,800,002,277,205,105,278,567,006,189,469,617,
511,592,218,892,662,031,941,656,771,716,397,023,482,907,177,469,631,576,012,
767,455,221,710,755,140,100,300,742,489,731,900,143,224,905,454,146,538,529,
118,216,908,903,146,111,924,156,189,080,480,834,323,153,539,211,362,321,492,
386,805,809,843,840,259,867,940,943,618,180,130,676,770,382,317,965,890,892,
555,021,511,095,568,736,664,942,608,225,992,329,706,436,147,235,241,855,141,
593,575,754,123,926,335,443,202,243,214,351,038,097,738,048,123,689,562,724,
202,464,112,568,069,116,176,036,833,068,700,761,298,842,094,290,693,600,559,
845,526,546,945,091,805,675,487,871,193,311,939,938,834,444,756,391,717,439,
193,396,623,367,386,839,678,038,135,427,191,695,414,624,303,043,473,263,537,
852,926,768,625,809,156,396,683,268,826,535,715,406,231,629,064,276,741,313,
774,702,447,579,137,939,391,550,804,609,563,524,063,173,593,753,658,900,838,
312,069,006,352,657,037,062,505,010,802,134,621,528,719,223,645,199,660,430,
183,378,022,287,988,944,328,220,045,469,237,563,882,836,262,394,574,508,727,
252,971,745,057,595,569,358,313,851,947,544,431,348,061,138,750,516,713,276,
567,652,925,710,550,641,364,874,060,291,830,245,350,401,460,618,204,237,964,
068,011,394,757,793,935,800,202,638,524,845,764,798,403,031,034,208,141,623,
234,752,497,326,991,425,545,419,563,103,563,326,895,348,764,157,753,569,669,
696,897,596,311,072,326,050,778,057,210,777,552,153,072,502,682,279,084,839,
680,743,813,893,167,965,999,902,558,602,359,136,650,679,616,246,825,520,186,
449,396,958,682,001,257,515,569,982,008,660,920,726,113,112,496,141,236,378,
286,131,877,723,768,192,046,490,507,382,985,123,573,371,195,391,015,595,071,
440,994,594,976,296,892,231,585,571,223,765,992,901,405,743,868,204,302,995,
104,594,529,050,541,235,818,183,987,371,995,909,221,252,808,024,222,160,135,
421,628,113,672,910,304,786,591,379,513,462,979,480,197,828,167,935,342,735,
871,760,714,912,449,227,390,946,900,553,122,653,002,483,953,116,581,388,039,
292,927,370,935,937,834,969,987,098,152,935,417,760,330,917,814,753,939,984,
310,448,015,387,666,305,794,514,100,689,281,352,210,261,681,007,830,145,590,
131,404,194,411,730,501,562,859,006,146,472,240,848,841,871,428,025,851,873,
111,985,344,287,239,002,897,300,119,923,835,940,197,776,641,766,290,990,986,
511,788,129,936,066,285,954,086,807,182,139,960,619,734,078,249,697,313,859,
482,306,009,173,580,545,667,411,370,699,726,507,920,909,838,853,308,106,853,
447,744,997,862,948,646,210,381,840,562,910,652,378,869,975,478,001,913,511,
717,472,296,898,829,062,473,011,994,472,920,716,809,235,964,266,901,391,459,
892,318,418,656,524,775,878,096,597,584,722,484,158,641,404,337,206,267,108,
047,043,861,031,107,244,273,340,051,870,071,726,055,736,497,268,261,598,097,
935,270,629,300,751,208,499,536,994,102,857,234,441,816,486,339,999,111,504,
496,597,782,685,846,043,274,209,001,992,731,584,331,393,178,888,688,133,332,
057,203,529,966,498,284,968,623,911,835,490,802,923,412,117,708,345,844,695,
664,963,694,897,290,404,025,967,689,955,784,744,425,641,334,933,044,455,296,
697,323,193,320,146,856,930,818,073,712,120,357,431,833,066,989,527,874,725,
667,993,482,437,267,043,856,613,475,333,179,616,227,584,763,947,238,910,793,
212,139,158,912,752,314,855,416,481,799,176,278,051,580,375,774,583,406,976,
199,836,089,112,494,564,211,223,165,666,842,696,263,217,704,031,827,669,546,
215,525,215,820,340,401,201,273,604,686,368,800,013,971,145,767,475,265,315,
400,546,758,595,243,892,321,807,235,858,572,113,399,150,156,833,562,692,746,
223,223,093,673,130,882,306,078,275,961,112,495,815,333,677,730,928,919,757,
499,685,497,944,528,936,774,622,131,965,621,435,190,010,308,914,549,390,436,
435,897,315,328,463,311,548,685,975,279,368,575,607,609,541,039,498,298,191,
381,577,123,014,273,516,382,065,584,886,690,871,896,848,396,598,153,365,670,
291,919,332,195,035,452,554,996,124,118,478,378,351,617,060,270,141,209,543,
767,925,931,762,314,602,254,465,287,765,768,324,772,506,103,088,592,383,875,
775,937,575,396,525,725,332,326,248,307,547,067,051,857,215,322,241,305,498,
619,463,554,758,933,907,796,963,303,144,893,445,092,036,432,648,451,977,646,
908,376,865,691,177,854,476,825,641,227,065,366,127,008,960,947,040,234,742,
836,449,977,971,329,020,139,712,728,959,506,482,624,327,616,847,603,706,260,
550,614,352,541,713,817,988,053,654,953,406,783,964,080,306,542,016,008,133,
064,382,361,915,122,041,827,735,059,621,045,486,265,058,790,783,940,592,693,
116,583,638,034,540,569,567,945,378,397,071,281,425,694,287,410,709,906,370,
973,252,067,475,506,342,009,851,159,390,334,587,681,148,238,758,708,073,750,
431,530,058,204,800,187,233,117,247,549,648,527,490,550,213,987,553,924,414,
384,996,220,207,374,086,794,962,526,556,019,792,032,253,800,004,171,381,537,
263,266,532,762,442,600,266,953,311,936,136,171,595,673,939,240,202,571,827,
652,706,433,645,059,704,152,939,324,215,342,282,672,358,853,660,686,955,750,
651,898,578,581,982,441,918,477,475,608,368,876,245,471,941,676,785,827,564,
873,657,831,497,680,798,254,103,720,149,705,234,594,791,403,816,279,763,921,
725,681,131,779,201,383,222,786,530,883,989,450,994,721,953,455,148,636,357,
126,376,763,684,576,228,984,221,946,790,627,432,420,332,510,337,287,679,136,
495,344,843,083,198,329,569,093,339,824,561,293,963,227,877,197,926,686,616,
047,761,572,067,097,415,200,204,551,443,884,516,047,939,229,198,584,402,008,
089,000,271,872,591,781,273,896,668,892,236,756,145,860,427,407,632,364,372,
124,068,396,142,926,330,857,166,062,086,317,166,748,211,969,729,959,695,167,
841,858,202,732,218,638,416,196,105,809,093,952,857,543,712,074,506,235,733,
855,526,776,799,135,114,821,387,865,624,522,707,231,459,291,372,623,302,365,
265,477,950,862,618,761,874,590,997,304,647,175,917,324,320,370,500,288,474,
664,538,402,566,769,095,480,424,453,338,957,807,062,224,934,305,098,777,466,
444,955,101,171,982,703,050,636,889,777,645,557,566,139,921,233,382,544,282,
168,049,427,403,632,833,294,867,067,472,074,655,069,095,418,343,095,672,602,
772,333,705,784,452,998,807,812,838,358,903,349,658,979,207,928,145,300,574,
209,966,580,171,233,236,266,805,511,187,816,620,841,217,577,397,188,570,925,
972,585,212,273,681,636,932,324,313,938,866,206,892,272,428,475,672,547,114,
663,109,849,384,514,790,547,923,282,862,753,901,504,464,154,731,568,663,973,
489,923,755,494,927,648,553,479,473,834,666,322,427,280,367,297,610,832,104,
639,437,103,952,194,274,842,050,187,895,769,435,257,511,420,305,272,407,352,
776,660,320,879,179,730,868,790,578,406,719,759,777,804,878,268,559,218,069,
552,321,473,956,727,843,392,314,071,657,946,921,952,420,688,426,395,592,982,
705,286,847,901,622,474,089,635,188,797,331,247,838,377,770,414,838,987,654,
202,520,857,772,662,721,477,235,533,788,100,788,618,212,203,347,641,158,388,
681,960,564,262,241,420,291,374,704,004,705,187,447,295,203,298,722,795,017,
836,846,245,335,786,355,983,344,019,754,462,237,474,796,660,618,141,442,572,
912,146,679,921,981,666,329,367,415,801,857,942,312,092,872,895,462,910,480,
206,229,295,703,295,335,809,011,334,358,196,025,769,132,762,656,387,965,563,
542,472,941,915,921,476,765,235,310,960,074,065,744,729,423,775,951,423,951,
408,297,613,072,019,366,339,388,444,649,682,850,521,639,634,827,462,623,974,
163,069,783,460,691,240,931,784,825,473,599,759,284,229,474,682,050,118,552,
141,562,225,850,704,940,145,001,879,811,994,402,191,927,758,867,064,446,493,
589,281,781,859,931,710,913,316,506,440,419,423,636,359,288,073,928,441,013,
975,929,691,303,546,738,453,739,685,285,606,963,953,471,727,161,796,000,309,
810,803,109,940,689,954,829,300,874,731,091,840,562,820,076,758,399,984,734,
543,787,009,819,276,622,281,630,617,347,517,170,793,074,028,129,760,180,671,
589,869,532,436,098,792,328,394,496,789,330,394,233,438,457,931,243,818,257,
667,908,876,863,953,050,716,593,959,236,829,866,297,962,539,241,333,145,740,
624,258,310,883,879,280,033,602,245,947,367,946,075,071,427,513,454,746,063,
549,870,170,098,925,867,295,644,730,488,683,279,235,642,065,215,415,398,822,
910,562,593,381,614,376,396,159,374,143,911,988,353,407,892,719,232,546,529,
882,614,848,812,600,970,137,365,101,318,360,198,595,851,687,114,374,054,154,
692,112,104,936,099,294,830,154,614,077,535,213,741,766,724,349,314,246,793,
683,809,031,623,303,379,482,367,813,870,731,782,897,951,962,949,192,521,748,
839,776,331,318,434,279,085,878,170,012,226,204,999,737,497,816,933,009,703,
895,382,745,935,833,726,892,952,308,720,343,778,706,502,804,396,132,777,338,
530,289,127,306,030,081,091,707,110,861,556,680,156,071,621,402,678,972,280,
216,522,952,534,771,146,362,591,242,955,435,062,639,084,237,272,545,748,043,
804,267,652,562,223,802,183,117,068,523,669,723,796,375,843,516,338,532,560,
491,282,590,170,475,399,660,861,862,376,415,619,265,999,888,709,338,520,076,
087,442,574,161,502,348,510,191,408,896,414,159,264,804,655,578,425,953,247,
141,748,208,005,581,742,387,800,247,857,128,269,643,212,602,772,183,878,525,
667,927,500,712,904,262,205,172,643,043,525,894,997,029,870,673,883,984,331,
115,808,212,919,900,102,082,154,644,185,249,726,504,333,870,726,161,480,229,
136,695,221,527,536,518,781,645,388,780,719,925,839,541,991,559,657,978,886,
759,853,930,992,188,045,262,888,665,079,943,304,802,337,404,498,437,202,830,
515,719,183,798,692,547,082,139,863,088,350,654,971,879,001,556,028,121,855,
394,060,763,006,291,672,926,497,147,596,104,222,090,883,933,703,766,571,395,
776,134,357,820,628,493,337,907,426,682,783,742,703,940,101,295,666,777,659,
537,479,075,290,385,489,797,700,479,101,575,701,411,214,279,401,466,431,165,
525,282,525,375,013,073,657,183,288,693,157,001,686,999,695,939,698,825,506,
203,889,720,117,600,083,059,369,777,007,591,724,887,756,272,159,092,295,904,
063,178,666,045,680,595,573,542,766,406,890,117,187,121,483,563,484,762,106,
832,904,720,724,460,489,404,606,682,155,122,986,196,267,804,848,175,060,597,
470,124,243,203,538,584,733,839,420,658,700,593,956,692,697,453,571,140,403,
768,634,857,524,838,135,045,809,682,019,536,504,790,266,625,242,724,089,197,
237,824,305,416,288,559,439,550,370,461,552,154,927,763,478,199,007,093,370,
836,242,439,286,386,263,354,995,985,331,995,014,923,131,047,222,485,909,247,
262,481,054,979,979,762,277,395,877,474,878,665,327,375,155,828,873,787,646,
708,928,584,307,715,443,674,918,929,064,210,016,834,154,129,615,409,586,531,
431,075,260,701,440,438,696,747,355,644,252,168,270,558,250,787,206,469,542,
031,457,671,828,230,883,449,562,830,653,859,957,907,892,228,336,843,621,959,
678,714,126,875,914,896,443,590,588,291,687,654,913,658,014,035,750,282,198,
390,005,339,455,914,939,246,452,267,537,583,644,315,810,026,997,011,152,630,
279,449,924,646,989,131,437,685,078,456,356,651,298,466,008,003,256,382,617,
908,875,420,634,437,426,990,708,182,418,540,434,435,195,114,711,702,139,160,
726,064,956,387,160,926,289,334,600,599,330,050,891,554,019,054,587,484,763,
615,895,396,916,876,899,608,355,368,120,839,654,410,027,537,151,693,434,183,
827,159,233,178,977,871,006,115,785,638,462,032,760,752,759,294,980,482,086,
953,670,326,296,621,031,480,413,388,006,849,796,429,565,673,089,088,245,545,
405,273,657,379,836,657,241,436,976,355,518,622,063,445,499,493,539,803,930,
315,531,371,354,643,198,017,734,851,322,785,634,786,208,185,296,004,827,038,
217,543,422,544,084,584,864,323,112,868,969,803,297,653,664,876,072,617,138,
921,847,700,476,885,578,032,495,184,916,015,285,059,026,396,612,979,823,130,
768,686,948,251,177,896,923,881,478,935,787,113,415,734,608,559,880,809,896,
002,828,144,747,476,296,269,458,725,417,668,496,450,614,755,790,331,366,649,
041,723,639,986,792,777,724,302,670,844,130,086,616,593,683,552,279,522,621,
857,808,595,117,875,665,411,601,060,427,985,529,250,038,079,450,584,518,515,
892,215,765,617,645,503,688,904,093,594,271,225,492,212,998,148,556,127,349,
175,032,645,950,479,976,425,338,836,311,649,122,668,020,425,010,596,605,843,
296,435,581,348,760,944,286,680,769,476,200,609,461,777,963,882,499,136,599,
296,507,248,561,761,035,714,305,783,843,990,859,433,215,539,722,404,789,381,
632,165,498,048,768,189,672,531,637,964,949,071,168,266,832,241,517,691,531,
030,703,351,513,532,514,228,764,016,058,285,360,637,101,569,484,163,269,177,
773,374,018,301,051,416,421,064,978,483,116,005,028,442,796,153,062,699,987,
967,482,598,382,516,574,300,371,977,868,381,418,339,331,778,894,863,086,680,
643,493,996,749,450,931,280,821,177,411,067,438,230,197,722,165,291,247,072,
566,456,628,931,630,365,489,870,163,228,597,676,418,209,700,465,331,263,433,
718,234,824,902,053,218,038,297,303,455,739,484,169,546,850,121,068,170,622,
721,911,357,724,157,149,271,617,185,140,851,142,154,103,665,367,350,485,702,
205,672,814,890,395,688,731,194,088,523,577,951,967,789,091,359,547,437,053,
454,613,271,423,856,256,514,522,199,102,424,940,499,751,833,180,969,204,187,
520,084,270,248,226,367,809,528,736,775,053,500,420,210,508,123,242,709,536,
373,312,450,690,219,970,460,358,425,391,535,661,847,845,176,795,418,425,068,
918,254,410,044,750,277,081,683,720,221,556,831,969,524,686,485,287,526,108,
844,776,113,909,954,634,430,124,280,160,526,744,822,393,835,755,471,317,889,
048,492,987,663,228,172,222,949,663,758,388,551,009,313,676,335,758,054,636,
934,983,623,757,372,222,368,513,541,579,793,015,524,411,091,259,378,451,075,
070,074,061,047,802,986,647,785,878,839,569,601,535,315,433,351,943,792,452,
257,087,726,832,932,582,049,589,604,925,141,731,361,936,120,712,652,756,998,
836,904,599,842,828,592,425,911,881,136,898,886,765,359,992,128,035,449,155,
473,482,335,881,643,432,211,279,700,845,653,097,199,718,926,196,518,040,357,
298,010,434,902,724,533,116,694,753,929,825,318,582,082,960,544,891,139,239,
975,797,385,372,164,675,579,533,476,118,084,995,678,833,115,710,371,470,952,
460,291,106,752,466,383,632,103,887,700,075,631,258,564,461,154,059,279,927,
172,393,805,890,431,241,020,650,489,165,189,648,048,397,259,783,751,734,221,
871,507,189,906,421,248,418,375,584,882,249,442,305,004,017,410,733,456,324,
017,040,752,067,155,377,549,773,186,043,996,634,403,449,642,686,555,620,478,
230,572,997,238,781,507,087,722,371,290,646,548,025,653,309,436,062,815,649,
800,409,465,680,524,611,667,937,090,671,534,677,996,311,878,468,414,001,651,
182,032,941,410,550,387,362,301,213,128,276,398,433,465,532,077,505,544,689,
542,454,006,392,732,560,901,716,768,188,407,448,621,729,532,432,784,603,649,
145,646,610,860,898,064,133,870,161,016,029,172,217,434,877,822,769,084,534,
798,266,026,536,284,219,205,339,127,841,390,747,826,275,191,444,268,879,575,
070,207,290,477,677,780,482,242,957,011,730,173,858,591,677,416,648,572,056,
043,990,185,808,797,387,973,948,588,590,753,961,666,750,705,485,076,935,541,
795,967,951,903,345,825,409,368,004,447,230,252,574,449,565,965,362,507,736,
328,968,048,301,811,726,613,751,399,223,203,936,955,770,390,297,842,790,696,
315,742,009,573,363,232,610,194,014,692,967,241,647,139,458,977,246,383,996,
442,212,331,477,671,401,820,979,309,271,211,372,980,638,339,222,053,374,311,
837,970,555,294,407,288,201,018,669,258,318,169,999,502,841,101,068,698,896,
228,023,086,115,550,514,645,934,843,335,466,780,700,669,537,959,639,800,873,
135,103,034,307,105,793,367,433,147,581,407,931,359,780,487,234,602,333,485,
054,650,342,744,280,571,497,310,558,773,911,098,817,591,920,363,233,515,486,
865,353,457,040,259,618,965,746,276,507,384,984,493,863,681,491,183,130,705,
294,217,763,576,220,860,978,913,775,637,176,106,355,992,459,192,775,112,212,
738,092,041,381,191,045,078,675,358,876,600,372,351,991,245,557,590,332,535,
834,429,667,877,928,444,339,056,304,883,420,837,371,905,857,201,651,018,144,
987,266,091,812,233,815,629,409,305,827,638,092,904,700,448,973,936,224,316,
689,844,980,328,633,340,441,578,541,450,313,134,589,796,459,011,558,181,878,
566,993,443,450,846,822,772,658,302,143,805,808,178,883,607,624,207,658,473,
136,601,787,192,409,900,722,212,463,853,760,270,724,741,334,618,101,935,114,
647,606,171,450,203,499,571,239,654,754,588,341,309,972,475,541,379,715,345,
783,922,982,062,410,902,847,257,940,867,727,820,384,483,212,660,603,184,786,
179,886,148,398,211,102,970,735,485,921,477,538,162,595,707,817,810,169,060,
076,839,024,347,912,338,059,066,534,440,543,940,492,497,725,189,154,704,733,
675,500,583,951,489,533,539,892,540,413,984,977,082,190,738,997,824,377,300,
830,792,887,091,247,796,807,625,544,354,460,711,919,266,002,431,483,720,633,
671,195,105,091,938,339,859,379,664,164,093,280,726,735,339,163,523,061,288,
150,024,518,306,944,216,147,521,759,744,443,093,156,217,402,785,547,532,249,
688,531,446,324,251,105,093,269,227,383,935,605,344,435,057,432,778,839,953,
038,266,845,207,748,773,299,635,984,208,468,833,010,565,062,110,434,971,901,
493,000,576,041,562,572,704,414,945,086,363,232,245,079,616,439,196,671,141,
784,446,899,053,078,536,247,633,593,681,346,967,276,102,040,335,569,501,739,
184,563,199,935,804,438,065,206,393,362,990,968,672,684,356,058,820,029,138,
468,648,241,045,583,624,837,637,948,978,407,965,918,258,290,232,428,951,836,
316,524,052,122,442,581,753,651,300,738,017,069,962,480,915,041,030,374,573,
868,738,669,745,253,708,493,347,154,228,564,762,017,129,443,743,226,442,588,
950,291,114,413,723,604,935,045,548,063,245,320,395,123,372,238,827,187,935,
597,331,430,705,364,861,964,249,408,432,162,748,057,847,202,724,103,070,666,
833,286,252,918,254,382,454,166,531,186,650,804,303,336,198,485,699,446,084,
294,784,984,469,353,260,088,526,413,554,266,179,623,680,774,930,433,227,595,
102,225,829,064,343,815,356,205,875,589,726,826,054,449,426,679,133,750,143,
963,029,253,383,160,609,239,423,951,755,355,096,387,461,858,848,872,087,069,
974,707,108,393,776,517,016,122,250,706,759,086,182,129,132,144,776,779,500,
933,047,417,922,513,851,573,068,800,933,878,820,089,025,411,023,513,425,267,
602,989,853,949,633,281,019,262,180,911,400,831,698,427,330,319,085,337,478,
568,869,969,871,596,562,469,075,235,067,689,443,205,371,338,077,544,135,630,
780,942,898,125,766,509,941,196,664,937,167,044,714,339,533,668,312,734,156,
279,863,142,016,756,853,380,777,384,517,672,380,724,070,328,247,555,303,895,
162,636,798,166,492,195,453,793,246,162,446,560,072,289,673,803,047,433,055,
878,136,926,459,078,069,619,923,550,897,865,667,761,785,886,009,370,185,847,
222,523,743,041,318,548,369,691,288,193,039,826,134,722,440,939,045,670,942,
611,497,851,661,405,734,516,958,951,041,515,236,486,568,323,808,717,997,836,
178,750,069,444,340,791,228,875,750,068,715,764,230,077,582,272,366,302,399,
722,361,431,990,655,844,043,438,266,064,258,516,487,079,085,712,726,613,574,
095,815,576,543,653,229,119,397,882,651,094,156,570,038,790,099,643,528,422,
547,333,691,164,778,239,079,035,886,835,825,100,425,676,956,981,559,595,966,
896,076,455,668,175,986,045,169,089,629,901,681,322,583,992,780,646,457,609,
111,221,051,016,096,579,459,685,997,278,642,378,691,153,906,022,903,611,796,
348,591,157,321,866,321,113,630,140,185,128,739,026,582,316,850,049,424,333,
065,454,193,352,101,354,388,500,524,062,815,509,387,957,552,272,253,137,682,
604,746,779,192,162,037,784,025,469,930,048,080,991,765,388,430,401,457,074,
358,646,108,229,041,837,323,884,276,155,950,297,380,693,962,758,357,248,547,
257,657,078,424,436,457,337,167,124,175,850,041,278,156,948,643,799,736,370,
997,010,649,432,180,174,863,434,340,945,108,130,720,772,195,736,158,106,061,
397,900,134,226,259,659,174,186,305,791,888,733,744,311,386,141,005,683,631,
485,329,115,669,667,579,294,714,538,090,511,032,332,188,775,677,581,849,769,
532,773,644,623,825,767,496,104,140,734,819,124,756,124,386,068,508,729,117,
428,512,936,727,581,080,415,233,075,747,282,628,752,927,967,495,143,764,298,
286,117,326,843,616,293,717,623,580,856,798,066,765,344,694,643,444,802,256,
287,705,531,355,738,394,873,583,570,812,490,790,351,443,488,259,843,335,934,
101,491,977,041,847,390,001,913,603,280,304,802,244,011,696,981,192,170,875,
698,447,250,335,102,380,340,098,624,700,110,908,334,053,833,561,682,883,145,
641,514,412,524,398,535,161,906,526,000,979,427,081,987,278,797,989,637,211,
766,415,185,763,263,089,592,981,263,416,331,152,935,879,808,000,887,735,579,
016,793,054,005,253,435,950,364,502,169,954,402,884,897,502,429,103,534,972,
855,077,693,221,968,545,644,514,896,843,464,460,471,525,102,370,177,729,174,
090,906,859,208,185,089,162,969,763,932,705,877,530,035,608,036,380,797,177,
703,249,335,246,100,547,400,546,767,332,988,766,501,775,414,724,571,007,352,
706,141,350,203,996,154,286,520,159,727,168,452,543,642,464,021,213,341,912,
741,527,616,894,557,444,565,106,946,125,770,940,383,246,957,463,759,585,603,
876,233,791,029,274,786,829,112,909,526,515,284,717,399,867,904,016,392,152,
147,860,148,260,544,630,503,345,420,102,429,208,744,472,186,972,702,236,255,
069,326,449,555,389,460,935,985,562,362,041,110,462,451,380,801,073,207,578,
399,705,248,155,316,806,235,961,319,281,592,343,526,029,719,666,372,396,746,
686,915,861,276,635,577,250,941,140,622,934,169,757,966,246,445,064,600,012,
843,992,488,392,021,147,325,092,495,267,310,891,778,129,429,445,163,668,806,
370,419,113,179,090,186,345,451,673,495,721,587,088,349,666,290,757,242,769,
721,422,599,664,971,080,084,622,550,197,244,374,078,095,668,053,371,723,643,
972,056,545,576,314,394,508,558,408,099,461,070,250,309,559,528,776,147,446,
907,658,015,801,876,784,760,138,837,695,202,033,518,718,469,491,726,305,202,
073,474,229,144,323,631,498,737,071,220,818,960,176,343,125,752,139,797,766,
978,286,491,415,496,523,998,085,175,977,861,028,147,300,071,287,679,319,271,
503,433,156,488,352,341,847,946,978,378,401,150,002,318,760,157,831,542,414,
502,808,726,755,431,447,952,941,852,568,231,004,908,577,774,977,037,828,154,
719,774,775,767,548,493,209,708,899,041,606,256,947,176,800,073,394,213,316,
611,599,279,636,897,884,948,928,366,991,492,188,321,903,864,716,241,913,951,
570,246,215,087,376,066,120,227,658,417,847,829,564,812,843,883,500,678,166,
822,623,915,381,001,705,472,249,457,014,568,670,845,625,804,447,584,649,957,
270,259,967,267,591,963,411,492,118,076,252,021,541,491,681,600,694,159,256,
503,352,107,733,286,927,297,844,214,066,164,312,267,103,252,742,411,203,846,
183,438,626,320,251,402,588,293,978,827,670,548,971,453,306,127,103,679,647,
363,305,784,461,286,411,494,839,304,825,729,647,541,721,596,716,561,386,836,
246,263,247,291,992,825,862,940,647,082,450,863,289,612,880,289,402,966,273,
666,663,862,835,135,016,473,897,655,611,018,258,623,947,374,350,189,011,003,
490,254,771,066,408,901,731,575,701,220,141,052,746,381,784,240,640,333,298,
054,563,748,034,976,330,813,547,618,458,177,299,328,648,753,024,743,362,598,
139,480,988,384,078,042,035,547,357,207,494,132,242,515,193,628,436,353,166,
598,668,338,544,347,549,429,428,823,082,382,580,025,420,027,591,328,475,282,
929,372,249,884,760,254,363,755,883,453,594,279,497,355,393,545,376,309,338,
187,494,196,468,484,337,142,316,220,307,551,475,531,505,686,219,123,576,404,
601,947,994,866,771,035,824,200,410,168,396,206,200,059,312,843,040,120,195,
960,504,212,133,404,643,826,610,935,206,017,656,159,563,743,436,572,613,726,
751,638,119,825,770,593,484,334,413,163,660,359,879,443,257,325,771,013,881,
598,984,739,640,176,473,112,641,668,215,891,801,298,052,743,393,926,023,989,
877,938,164,422,877,538,160,547,851,116,388,144,028,163,460,280,950,584,424,
730,027,725,340,251,099,154,915,150,362,177,327,974,690,007,680,160,094,185,
777,998,950,890,283,582,178,459,816,506,513,437,001,056,836,121,198,116,896,
857,573,481,003,374,872,051,034,228,700,650,696,199,947,833,000,428,018,483,
666,982,556,589,893,840,772,749,071,666,369,586,480,816,748,216,916,480,100,
875,853,924,151,618,110,973,505,320,971,279,714,094,595,028,802,202,531,128,
045,504,813,872,866,187,409,284,280,193,560,371,433,889,882,131,437,959,215,
831,410,881,517,784,720,274,339,299,020,324,625,445,372,757,562,617,406,833,
359,103,629,777,523,068,702,300,215,160,727,881,175,118,696,016,705,771,887,
997,292,725,445,829,833,485,918,473,254,307,220,319,226,087,033,031,359,420,
479,721,628,169,390,558,221,735,650,149,613,499,564,751,557,976,144,626,286,
598,880,953,259,253,693,293,770,507,937,104,073,082,041,791,286,268,338,150,
891,676,606,053,864,487,487,496,692,243,952,952,864,333,468,625,227,899,169,
174,463,227,366,479,824,275,271,039,281,015,555,356,783,132,346,873,136,836,
486,951,868,309,446,769,319,574,075,353,710,829,892,679,157,126,309,777,934,
095,583,301,348,484,089,010,788,661,730,482,023,429,425,501,839,277,333,560,
225,976,712,832,644,894,765,019,502,317,612,132,893,826,783,042,924,205,365,
886,558,350,253,436,602,119,077,718,915,653,433,700,446,316,785,555,880,125,
282,143,152,762,989,860,442,733,828,387,331,265,173,067,542,295,092,710,060,
166,777,686,068,718,087,678,725,534,724,523,321,925,484,063,062,857,071,156,
570,703,844,784,463,309,857,918,424,885,273,301,789,100,638,260,081,429,016,
188,527,551,234,974,299,085,548,594,340,273,741,461,969,782,146,213,387,883,
493,845,063,123,106,558,675,369,487,973,639,155,606,366,671,458,986,589,653,
700,672,185,382,390,167,663,940,493,200,531,324,587,875,407,756,080,801,451,
127,458,242,672,427,606,073,155,874,436,004,328,015,979,700,628,163,015,129,
213,434,351,265,979,973,527,483,069,066,887,263,588,354,415,328,893,676,829,
380,804,833,625,561,482,820,603,886,161,844,762,877,407,452,785,287,538,092,
374,981,477,297,055,634,802,892,240,024,174,956,705,317,236,991,001,389,651,
619,055,834,881,089,825,559,126,923,281,653,258,228,578,080,674,024,094,219,
844,777,326,322,736,802,089,038,247,205,426,784,680,337,793,093,279,805,558,
422,071,520,491,329,698,539,999,586,735,489,708,903,385,903,554,127,903,862,
732,316,121,372,984,517,801,486,144,751,957,974,753,950,263,537,102,367,599,
025,495,943,648,392,614,588,121,215,002,047,674,246,618,720,466,668,293,512,
852,433,053,674,228,115,876,910,531,818,532,347,572,179,756,120,350,822,285,
905,846,935,367,154,297,693,679,009,534,460,722,165,741,830,512,096,539,902,
505,778,521,927,688,474,982,306,305,594,755,026,452,268,516,805,596,274,916,
843,331,062,814,433,549,095,598,153,149,005,552,966,356,486,695,067,194,990,
913,238,446,036,264,613,361,932,704,706,188,438,109,608,146,352,317,125,874,
238,671,113,470,356,455,113,449,436,113,621,643,993,686,233,604,611,431,428,
758,363,026,649,301,393,122,236,442,349,980,614,999,420,824,174,660,233,820,
756,104,117,109,234,419,391,474,333,680,959,262,048,055,824,782,445,807,758,
194,201,110,000,682,037,922,772,025,658,303,760,031,212,167,552,683,777,023,
838,217,487,247,631,043,444,861,722,115,053,227,837,976,811,755,895,521,387,
469,287,225,278,850,878,665,729,181,683,908,153,427,971,538,409,542,090,577,
415,316,462,353,833,911,921,098,536,186,704,383,543,435,443,398,218,894,208,
849,293,546,095,243,889,280,614,100,730,602,719,890,896,931,298,897,380,931,
386,539,633,121,756,109,801,616,465,508,469,328,101,734,512,374,905,138,884,
195,608,262,858,725,884,184,355,813,352,046,043,560,449,646,011,219,293,435,
985,015,457,661,288,329,395,459,187,805,513,472,568,714,672,866,605,043,049,
018,927,887,897,428,280,338,037,167,650,996,890,472,660,386,628,865,807,781,
301,124,032,836,888,653,668,106,954,055,185,636,717,496,106,444,799,538,167,
535,459,032,939,767,457,798,672,399,604,684,999,841,022,836,465,551,966,894,
182,857,157,445,801,498,679,314,158,840,954,695,010,442,357,382,912,505,474,
991,763,935,601,274,500,736,699,501,244,235,901,681,416,394,808,604,431,875,
145,613,939,135,281,973,911,148,681,389,708,409,827,830,403,497,996,577,236,
953,123,094,511,510,941,748,843,031,672,012,620,954,882,837,915,417,929,609,
151,452,346,063,425,360,623,469,486,231,134,185,660,682,413,589,060,783,960,
403,622,362,362,232,739,124,484,435,659,623,280,830,169,664,635,127,520,409,
977,408,307,784,408,452,833,689,215,449,601,824,583,204,388,155,890,443,440,
752,017,115,195,131,392,247,158,168,235,697,425,830,721,287,706,000,739,977,
375,099,448,166,090,852,769,417,392,449,046,545,540,550,480,792,850,311,707,
112,388,841,618,159,081,109,829,008,127,128,607,873,534,574,997,574,830,090,
503,663,011,816,084,489,438,801,466,901,645,011,081,066,687,525,075,435,441,
011,421,500,670,654,302,008,959,332,927,234,654,783,552,163,909,564,079,302,
794,221,256,011,429,775,738,787,394,774,133,475,267,981,518,675,253,993,090,
360,682,325,675,571,801,330,008,526,695,492,481,809,540,555,433,492,704,466,
796,290,195,003,506,113,407,792,576,271,771,018,202,636,769,152,088,797,450,
914,017,884,933,357,854,052,854,891,326,104,409,722,519,122,964,160,301,518,
447,620,329,045,869,043,833,959,073,353,336,516,145,368,841,958,783,905,167,
418,955,598,831,831,196,698,862,238,660,925,006,184,662,000,528,459,349,840,
732,964,831,224,831,061,752,489,557,687,821,049,576,414,021,534,328,822,362,
994,498,468,107,437,165,995,711,999,830,649,512,452,280,051,615,477,271,010,
437,200,653,616,648,875,642,377,756,373,633,465,168,125,835,036,520,041,352,
899,740,541,085,506,353,477,917,149,246,372,323,560,325,771,502,981,546,707,
102,145,940,609,974,124,195,982,484,144,127,147,979,323,039,125,631,710,682,
521,945,434,006,432,106,754,155,441,493,289,358,206,059,385,297,942,623,609,
879,568,138,953,338,421,053,779,033,292,802,584,265,738,595,194,440,508,671,
652,884,703,458,988,403,077,964,677,931,650,450,343,848,970,699,707,416,588,
452,106,154,430,063,026,173,277,054,179,053,043,826,542,555,285,318,271,737,
252,754,489,328,557,224,826,257,447,716,725,121,798,273,168,516,774,920,530,
282,021,548,941,831,045,711,548,617,994,587,149,943,336,446,844,403,008,027,
466,997,232,133,688,303,533,994,053,495,746,316,144,441,406,542,493,345,785,
319,114,097,824,227,229,622,986,613,802,957,580,385,988,707,248,452,458,359,
633,805,716,765,094,988,146,144,282,188,322,176,987,947,374,205,433,232,151,
811,199,025,222,221,312,122,963,218,015,667,939,249,608,673,481,813,527,759,
447,591,520,540,136,564,942,070,942,032,572,936,378,360,287,610,126,479,412,
377,750,664,493,107,105,175,307,300,862,742,327,343,377,353,287,944,777,222,
907,190,513,343,739,945,989,436,139,381,377,782,728,685,786,649,144,530,029,
406,523,147,607,613,924,524,822,579,880,076,633,647,357,595,653,148,531,497,
111,133,694,047,469,478,269,175,426,936,738,237,294,629,611,097,739,766,242,
003,552,938,943,107,413,823,269,773,086,620,051,464,890,108,827,456,640,786,
055,357,941,511,675,537,671,800,266,722,559,739,873,549,323,055,003,031,951,
576,542,265,528,736,463,457,274,518,971,701,944,052,945,808,398,952,263,790,
163,207,485,192,060,282,605,670,381,133,127,395,780,202,976,497,312,297,710,
144,275,993,421,661,937,312,456,465,306,005,741,059,101,750,693,277,601,707,
415,062,304,307,270,492,307,221,352,323,188,478,510,593,555,257,775,468,993,
405,936,150,105,444,239,980,894,807,815,813,798,909,487,625,180,874,944,833,
390,045,772,663,970,094,254,016,910,101,120,227,471,956,722,567,052,447,105,
434,360,082,217,500,737,567,899,690,079,688,503,118,956,118,947,082,335,566,
165,582,377,343,482,014,549,945,885,244,233,390,158,624,130,177,368,301,374,
446,835,546,537,922,840,157,102,807,810,313,351,437,393,512,194,162,780,829,
806,222,069,353,035,689,678,356,742,172,690,865,725,195,046,971,658,446,406,
330,777,002,082,172,373,227,252,140,230,218,375,683,755,036,104,636,113,950,
562,771,618,910,996,482,554,572,240,336,006,479,237,765,735,990,132,244,878,
855,830,943,457,978,067,050,282,848,647,515,491,463,259,357,312,370,209,234,
806,738,017,951,013,108,867,612,950,306,062,586,537,675,733,441,553,901,061,
198,779,071,692,920,213,073,452,630,339,618,042,070,241,281,886,375,660,627,
955,166,845,017,659,810,274,153,020,737,750,524,787,995,726,495,381,202,036,
958,586,545,875,480,152,361,392,724,067,487,295,635,733,800,567,291,561,745,
918,672,634,776,917,876,438,261,913,068,805,246,586,728,374,517,810,844,289,
141,321,189,740,331,446,669,743,260,006,944,676,051,392,078,210,641,844,242,
157,769,191,084,125,285,904,829,339,506,486,278,417,203,610,123,893,660,006,
972,181,148,537,535,242,775,333,645,387,376,054,905,611,450,123,766,636,168,
023,572,672,542,388,982,144,180,051,511,479,685,515,034,015,901,364,207,619,
353,546,491,308,904,363,772,675,468,825,601,554,181,756,139,025,793,451,571,
749,347,072,973,878,862,638,396,954,241,486,559,205,906,367,582,647,294,795,
193,637,739,655,928,217,561,740,555,023,981,807,944,594,087,563,414,055,431,
628,589,433,223,106,476,135,985,463,419,914,948,655,120,503,046,096,335,646,
911,879,788,488,153,941,567,561,724,512,281,620,749,658,331,773,362,792,853,
512,064,760,542,285,195,248,375,276,147,780,412,459,904,744,901,961,602,516,
242,033,142,772,538,046,755,228,137,965,926,192,002,523,291,420,881,779,543,
714,415,009,845,015,433,239,318,355,317,327,689,999,405,107,543,099,739,639,
530,281,077,951,699,208,163,104,100,066,532,448,331,296,230,207,404,012,701,
575,265,479,529,032,667,547,885,891,985,541,378,805,134,356,309,570,177,281,
723,711,495,301,778,115,272,833,082,662,098,788,610,900,878,773,859,520,748,
232,098,505,961,700,577,121,336,019,279,242,402,430,791,336,067,814,345,972,
772,932,330,546,168,543,909,608,046,127,198,273,542,410,096,974,042,913,338,
528,674,308,037,530,982,021,713,512,927,435,340,090,819,390,061,233,827,891,
534,741,857,217,642,111,357,884,340,564,544,248,899,274,020,718,469,714,996,
410,815,460,559,580,889,766,510,506,213,941,779,288,619,165,576,133,965,748,
941,651,319,303,842,143,159,165,441,848,710,258,395,038,341,141,624,734,023,
900,480,264,533,724,334,029,537,555,715,005,577,111,470,484,923,294,656,962,
644,163,169,856,923,744,943,861,601,794,718,359,505,422,658,289,232,242,759,
436,358,802,365,850,580,523,198,838,462,394,154,079,462,479,252,317,112,983,
931,427,999,074,427,832,349,162,389,800,220,790,041,357,625,654,801,463,343,
253,549,188,212,637,888,611,680,359,463,194,103,429,522,501,906,732,143,721,
295,259,477,730,616,556,884,276,493,482,485,689,434,902,067,912,769,521,857,
910,669,601,491,795,406,542,122,421,651,860,367,913,686,421,851,536,593,679,
659,434,153,424,966,128,997,638,211,310,157,738,275,691,320,647,257,839,434,
859,368,515,502,043,694,228,737,438,756,788,820,096,316,545,330,155,153,327,
203,827,463,931,419,051,349,095,191,823,121,102,776,884,279,053,500,784,792,
367,076,589,995,714,750,188,296,690,544,281,848,715,229,777,410,192,324,918,
391,859,864,118,414,515,651,613,745,169,637,608,759,749,567,547,113,034,794,
996,010,376,582,802,673,117,384,286,674,783,803,979,835,082,413,238,516,626,
866,189,601,481,183,068,934,288,312,276,197,432,760,636,979,462,215,422,068,
429,341,868,184,873,633,089,682,782,682,914,611,905,321,702,645,434,728,189,
319,478,806,668,425,284,077,349,451,131,462,493,181,163,009,458,015,170,638,
217,339,566,739,894,157,069,004,277,067,896,178,028,248,762,644,874,513,758,
261,806,309,823,706,815,678,589,927,322,799,857,214,724,594,520,105,616,614,
879,239,789,915,621,981,738,279,385,926,923,043,714,103,679,920,873,960,302,
970,387,180,470,753,989,185,862,704,284,683,109,818,528,903,264,937,093,341,
703,382,286,474,371,720,949,691,154,509,392,639,945,294,954,401,628,772,281,
418,223,587,959,367,746,559,542,830,542,653,072,551,851,930,560,998,513,709,
839,566,705,231,287,561,222,508,507,646,068,459,455,692,808,828,420,680,509,
760,880,406,567,605,160,031,839,619,900,688,695,785,592,725,606,042,462,185,
860,915,610,983,658,386,162,631,882,030,112,305,744,859,121,666,505,453,310,
824,192,004,281,404,551,005,018,393,877,100,238,611,961,943,132,914,875,322,
284,965,619,287,397,686,386,297,661,638,869,147,379,125,090,403,864,838,990,
159,856,294,541,061,682,881,228,800,272,885,701,789,243,385,020,866,314,648,
784,715,322,673,759,616,118,009,230,005,612,171,189,669,632,681,416,250,182,
236,898,568,033,044,498,923,551,050,930,478,502,161,434,189,065,543,202,683,
785,637,272,672,541,493,568,615,762,061,253,741,526,760,273,559,994,399,444,
745,359,768,555,367,458,343,732,134,911,534,745,972,772,226,492,595,903,866,
077,288,513,162,217,049,442,835,242,685,496,159,330,238,307,387,272,517,339,
818,066,413,929,445,164,866,696,395,089,874,852,907,769,463,141,027,625,282,
127,432,422,603,999,073,739,738,388,806,196,050,833,146,309,751,902,910,399,
353,828,745,865,790,558,122,802,057,274,963,553,977,715,319,495,051,516,688,
373,828,272,555,776,306,454,399,584,769,987,732,317,943,207,549,921,948,257,
140,048,429,566,276,758,680,798,345,297,787,885,471,202,733,769,665,344,580,
990,819,706,003,936,370,638,440,364,209,931,180,897,156,453,874,423,046,000,
265,052,855,223,250,621,127,671,294,885,823,856,864,503,184,176,119,213,544,
147,393,059,077,676,306,357,072,261,098,209,948,766,463,270,390,085,841,795,
665,718,147,573,299,259,708,278,841,941,935,683,662,076,807,561,596,989,396,
311,984,872,267,394,525,697,421,914,412,948,499,332,837,595,651,343,574,857,
132,636,956,510,020,070,722,527,310,797,991,942,682,100,995,385,020,529,362,
453,234,328,424,647,305,612,922,818,117,108,815,417,792,182,086,491,067,228,
436,160,742,485,171,426,315,961,743,727,884,819,905,148,755,937,036,559,083,
711,291,027,932,201,780,821,514,175,510,035,035,222,282,165,634,874,623,850,
368,893,709,329,597,657,485,864,196,601,212,936,300,312,342,317,833,152,276,
997,204,832,800,932,358,020,797,130,466,153,059,001,881,644,517,105,865,012,
879,732,504,278,373,111,447,563,591,589,100,877,185,150,160,112,784,531,868,
457,135,054,385,636,958,563,781,040,029,198,805,115,050,357,623,321,087,810,
943,661,806,604,608,201,597,593,018,748,398,815,634,605,658,780,982,241,604,
231,840,308,182,572,025,076,767,923,958,140,730,475,123,998,880,137,946,738,
967,981,117,782,121,353,767,329,736,668,452,843,414,717,222,027,765,052,487,
499,637,773,808,002,907,679,562,994,430,135,542,742,642,605,595,327,274,188,
989,072,991,306,315,339,434,710,993,422,576,385,203,400,767,754,260,518,446,
115,943,113,411,657,369,601,172,272,339,983,508,737,760,992,234,102,040,256,
088,095,387,831,648,430,168,906,352,433,279,008,466,204,751,682,012,597,995,
787,780,115,111,952,004,145,879,243,085,544,368,072,314,610,510,292,681,320,
513,761,612,260,543,149,288,625,892,769,655,012,515,211,133,989,892,036,076,
615,454,956,740,526,459,678,466,050,024,137,184,657,789,484,495,349,542,159,
491,708,746,060,000,280,273,451,038,307,936,054,710,843,763,119,170,374,460,
971,000,664,491,110,613,255,715,904,950,841,005,544,619,892,763,623,874,114,
250,623,816,875,929,057,444,673,972,681,154,241,510,093,543,743,361,335,246,
614,965,206,334,900,006,895,070,917,626,591,409,993,516,024,918,647,081,551,
181,174,444,020,765,454,153,943,949,596,828,761,177,872,352,095,737,972,551,
472,612,540,281,511,825,317,993,659,831,496,988,045,607,241,246,552,405,945,
957,721,701,011,588,688,698,609,917,068,031,044,698,109,408,360,076,885,841,
797,261,441,719,557,882,954,867,810,289,194,180,636,766,653,102,309,965,192,
347,174,007,044,089,049,913,971,032,009,047,447,711,378,002,721,872,078,287,
948,097,825,617,635,559,830,144,799,996,653,890,447,377,959,103,278,500,514,
459,104,217,637,047,722,166,492,049,030,281,483,399,754,129,284,950,626,505,
505,271,522,767,027,329,285,461,733,816,663,332,105,195,276,000,356,944,921,
001,314,628,399,019,253,674,384,692,510,304,216,841,012,575,680,031,524,787,
639,152,216,153,758,902,832,655,877,462,019,742,966,513,820,680,791,721,673,
206,082,442,948,212,123,824,373,852,937,275,058,862,878,550,027,249,816,056,
752,160,450,973,391,019,879,964,872,397,606,741,382,887,964,836,953,689,566,
038,952,810,430,447,321,693,506,772,612,769,133,114,749,830,597,844,834,914,
444,558,526,033,100,866,631,013,033,698,159,931,790,124,653,621,954,026,330,
727,903,876,849,808,525,047,362,737,233,108,657,250,244,251,958,002,974,802,
202,440,833,855,404,731,728,492,453,969,263,746,179,644,901,839,697,084,577,
165,255,377,159,023,988,857,664,983,177,227,249,932,655,622,474,102,797,837,
821,523,583,273,681,326,271,923,887,491,628,262,070,357,769,411,444,962,839,
246,622,814,301,510,065,326,852,571,860,881,180,135,823,342,683,200,303,595,
216,717,649,736,334,300,265,394,613,485,829,579,526,116,768,771,878,805,143,
966,096,028,780,002,891,010,036,352,525,727,893,200,911,172,204,531,233,533,
849,904,678,699,258,657,114,780,127,080,549,077,778,822,696,554,149,693,380,
146,654,093,706,197,665,078,744,282,225,799,875,130,525,969,698,733,748,935,
296,420,789,716,063,872,750,905,261,334,007,414,362,894,170,580,035,449,640,
025,824,028,290,954,664,685,411,410,357,373,981,389,924,898,264,808,027,100,
201,957,070,174,845,954,358,117,677,191,584,745,050,793,574,605,381,873,432,
417,417,595,825,636,829,310,451,763,642,978,501,260,811,130,505,482,363,774,
075,158,477,789,201,372,384,670,063,582,839,194,781,300,001,156,297,847,678,
073,606,839,820,713,817,064,520,202,127,805,497,609,168,270,959,489,548,962,
474,820,606,516,037,912,658,654,385,626,693,132,106,669,123,997,931,250,064,
135,830,753,201,210,398,415,099,457,334,191,700,451,744,927,253,856,731,364,
264,310,224,668,990,061,780,747,287,156,562,157,176,849,783,306,981,348,316,
766,204,345,780,542,708,554,459,583,507,212,849,539,552,769,557,086,277,004,
314,680,056,477,202,601,646,551,774,306,827,464,369,240,260,175,594,951,518,
991,556,407,090,930,710,756,467,685,527,117,026,811,575,954,414,863,446,410,
528,800,095,179,194,212,355,694,403,552,552,406,199,290,509,281,937,587,756,
862,999,074,256,687,824,895,598,938,321,009,917,771,679,483,978,541,340,300,
624,396,304,243,697,079,837,158,294,178,578,682,471,036,008,064,532,726,150,
534,047,935,105,217,588,183,349,590,703,770,043,445,726,707,463,543,492,498,
453,155,217,486,701,904,241,438,426,904,721,042,312,532,188,896,935,762,355,
034,266,617,186,506,407,929,719,429,982,742,607,880,098,274,826,160,011,344,
613,548,304,732,546,357,127,479,988,694,693,975,674,800,887,153,579,208,437,
376,491,695,994,844,453,854,452,852,264,321,817,746,461,661,025,520,690,452,
977,088,631,909,455,485,665,665,126,938,102,114,510,523,740,700,031,528,229,
425,904,295,488,174,654,901,504,419,646,849,029,158,148,265,213,127,553,596,
888,256,521,854,774,153,894,609,829,150,836,541,090,304,010,085,844,985,675,
045,586,026,944,891,287,578,881,421,195,463,146,528,916,995,135,928,222,861,
429,488,105,258,119,716,462,556,430,410,082,413,447,117,186,739,637,251,907,
520,858,603,230,461,340,145,931,026,651,841,281,578,498,596,312,897,107,170,
940,449,810,417,292,903,753,602,889,002,073,065,811,545,390,546,375,779,888,
874,531,489,349,329,099,831,268,571,048,617,457,057,563,338,068,913,059,693,
418,642,984,294,295,319,827,628,172,803,910,193,125,102,431,773,703,366,516,
339,543,933,333,379,385,151,178,454,415,852,795,173,448,219,898,941,748,418,
230,645,438,811,984,385,106,222,362,661,185,116,101,663,525,525,468,863,226,
329,058,493,263,879,348,904,999,886,783,162,829,154,020,997,820,288,592,430,
782,004,480,276,009,055,310,728,381,617,014,159,350,230,630,194,653,772,237,
228,804,416,214,618,048,130,200,401,454,826,561,660,199,745,215,819,263,755,
086,717,220,646,308,557,127,829,210,293,992,263,456,956,058,174,307,636,742,
677,384,854,791,396,113,510,601,311,194,483,295,684,575,975,711,785,644,360,
734,671,754,077,229,073,849,164,103,260,951,344,559,272,702,994,455,803,956,
031,452,071,084,945,325,327,617,268,587,827,390,222,530,464,301,978,098,800,
267,059,296,169,885,226,730,066,491,614,523,716,553,126,816,005,459,967,187,
852,683,388,131,469,069,023,428,149,531,599,650,693,136,798,201,109,446,668,
354,200,895,783,312,411,471,000,567,763,983,167,047,605,288,428,341,480,121,
128,226,811,663,987,425,930,518,120,162,532,263,382,744,796,478,104,597,750,
345,831,569,224,219,947,521,114,042,569,815,857,952,144,313,371,947,771,465,
301,992,617,385,896,039,842,059,442,929,484,342,998,994,914,988,844,313,519,
166,756,929,305,433,380,681,049,457,018,314,355,827,610,866,948,865,523,716,
305,521,086,009,437,182,101,635,654,692,894,681,610,280,647,607,365,401,152,
379,916,658,901,834,643,433,838,695,186,834,355,282,072,698,715,952,232,975,
761,855,815,366,364,534,527,607,453,650,968,841,863,317,453,277,706,129,230,
087,466,144,316,471,970,206,224,784,554,880,619,277,620,891,108,716,526,881,
107,407,879,154,790,608,970,168,316,456,773,772,376,649,508,572,209,073,494,
700,238,533,200,982,903,796,527,962,433,582,110,046,841,638,779,201,712,925,
716,504,718,873,509,648,669,657,356,943,605,864,734,241,400,549,028,518,061,
904,981,664,851,115,566,932,667,779,496,276,595,763,984,483,429,742,876,371,
929,425,026,146,273,185,796,288,804,777,244,659,602,519,361,256,226,595,466,
167,008,110,458,918,510,246,069,663,676,931,263,719,974,820,726,225,515,064,
399,898,372,778,982,635,225,724,009,994,700,084,364,169,207,505,111,377,090,
108,137,440,848,333,754,959,792,170,452,705,899,504,191,479,999,100,157,282,
352,056,734,491,429,460,491,348,531,547,259,950,698,448,401,176,292,116,084,
026,196,271,004,770,351,799,886,795,017,057,815,470,576,783,291,332,193,961,
558,840,388,519,038,879,217,571,505,637,574,713,753,744,824,379,293,521,076,
729,107,492,304,561,096,194,544,785,963,121,514,609,480,814,610,726,479,691,
527,514,835,924,394,050,931,870,237,803,605,664,995,841,189,068,762,069,016,
649,857,820,797,859,173,508,316,888,304,689,710,097,224,871,159,081,902,955,
097,908,768,568,319,720,939,915,512,372,037,044,897,071,558,168,463,156,540,
911,044,463,605,774,326,987,212,489,919,901,055,529,774,539,915,310,796,036,
798,882,954,858,073,987,926,409,665,762,254,292,431,524,234,421,680,768,282,
331,305,344,785,591,339,211,566,284,333,404,201,240,686,842,618,760,400,630,
165,339,940,510,022,123,344,478,711,970,628,206,858,010,027,189,528,902,525,
721,555,884,911,774,423,855,105,228,551,394,577,758,664,174,705,059,816,658,
735,530,088,113,432,457,247,221,461,136,898,015,747,666,794,098,884,075,183,
029,291,555,784,483,494,384,962,792,165,353,653,710,508,121,361,276,017,620,
636,069,882,172,331,056,972,361,197,888,869,876,670,412,162,448,396,794,784,
405,848,169,991,317,826,266,734,345,091,499,461,443,840,610,189,416,994,926,
880,994,481,412,236,365,709,524,789,825,902,881,537,444,484,522,085,882,577,
523,445,696,802,916,363,323,420,265,577,609,456,410,462,767,764,109,576,041,
823,662,602,575,576,361,193,927,069,125,722,619,495,457,585,924,254,513,025,
712,751,854,826,654,337,583,394,543,585,412,076,114,598,718,732,648,284,600,
326,406,237,095,724,537,001,869,572,667,264,075,185,380,862,318,949,615,129,
720,419,683,394,014,467,033,728,222,827,343,726,628,851,860,804,966,328,495,
070,272,415,816,136,917,999,023,294,505,572,228,697,630,744,124,317,266,405,
302,124,619,012,435,962,762,256,796,346,162,210,579,239,615,960,756,464,189,
308,250,147,966,269,832,212,373,805,239,213,915,190,443,121,375,457,703,596,
388,286,453,368,458,710,015,582,074,291,847,898,766,575,280,007,331,413,154,
367,188,012,211,268,340,861,418,529,927,511,359,623,664,589,009,575,375,956,
682,695,240,481,487,530,780,136,566,730,287,592,577,406,391,225,481,650,797,
367,870,550,724,985,652,882,684,481,225,606,181,380,512,420,150,872,153,993,
094,114,480,034,567,409,480,346,723,179,884,372,736,928,663,647,411,476,865,
999,503,528,101,736,048,188,922,449,951,304,258,315,439,386,892,894,756,429,
463,562,898,458,944,311,806,561,822,825,926,640,565,261,577,488,218,852,641,
183,581,978,041,008,286,992,255,729,517,189,923,021,952,175,637,198,665,500,
279,529,385,620,763,803,717,115,863,276,490,413,439,753,852,884,514,201,706,
243,294,627,877,203,410,064,527,346,947,611,235,894,729,837,654,829,712,885,
597,489,459,112,318,563,104,849,170,852,149,096,904,840,291,523,532,944,350,
463,744,902,463,659,650,901,376,034,951,744,612,404,323,590,777,366,151,028,
752,134,243,584,214,379,048,654,712,214,615,228,521,037,554,447,601,685,313,
463,890,145,195,108,485,458,317,439,370,912,837,149,137,681,188,230,133,142,
642,899,889,992,703,542,764,971,103,956,705,774,513,341,976,053,536,914,506,
925,210,052,158,073,717,370,307,395,654,056,284,972,157,872,033,066,820,030,
461,306,390,489,482,257,430,497,960,659,487,624,432,902,946,149,993,758,381,
079,246,044,681,434,373,406,408,222,776,109,041,934,769,594,420,659,960,419,
108,743,918,027,473,243,574,408,300,339,366,018,679,621,646,197,656,281,512,
517,316,528,199,599,639,968,768,557,260,391,797,719,624,282,303,355,782,364,
711,106,653,640,379,861,108,046,497,902,224,727,343,639,558,221,652,532,035,
912,092,846,801,995,156,320,868,485,978,406,878,445,692,392,240,477,419,507,
662,388,865,836,929,171,251,311,225,163,485,501,294,979,151,339,823,522,261,
642,734,323,422,381,651,379,791,447,794,331,337,978,750,559,398,174,988,045,
262,080,961,809,463,469,708,562,805,505,601,251,771,459,826,193,726,889,932,
806,863,791,562,347,275,573,163,245,938,804,067,436,955,141,706,053,396,817,
509,783,365,179,265,406,398,883,055,703,970,083,029,329,213,639,907,804,300,
001,985,602,561,625,239,496,252,271,641,082,165,895,563,430,199,161,818,395,
732,259,585,549,452,832,242,940,338,645,661,779,224,193,834,988,691,623,552,
560,616,711,825,566,838,119,946,238,740,293,762,023,326,053,128,696,278,524,
275,788,300,279,336,134,555,152,222,835,801,990,529,379,489,436,987,853,313,
232,485,327,354,510,882,837,770,399,429,228,413,874,333,430,848,038,390,272,
049,610,474,094,870,398,907,006,885,111,863,753,144,022,402,302,698,620,849,
515,664,814,682,319,881,965,956,052,548,629,743,113,456,031,817,879,539,889,
502,531,171,179,675,768,326,175,313,976,014,841,714,983,154,344,408,192,020,
542,346,180,469,675,921,622,462,204,557,528,586,166,289,664,884,421,780,047,
577,140,793,230,923,050,305,785,479,729,367,350,758,597,264,941,752,529,683,
001,531,638,532,521,755,457,110,392,535,588,070,037,914,089,951,244,116,691,
977,716,029,234,090,068,507,711,426,394,430,752,588,197,721,502,443,381,214,
370,669,473,054,645,558,582,255,959,817,036,139,169,904,972,043,684,116,257,
776,634,754,058,626,782,499,903,373,652,795,581,442,298,875,386,840,058,756,
772,391,718,399,715,625,422,175,541,750,904,000,293,373,549,404,851,494,108,
889,192,470,194,878,273,359,357,982,197,879,500,645,168,342,876,027,614,328,
188,489,580,045,943,858,145,784,507,723,918,464,737,684,260,563,672,143,735,
956,803,398,163,248,642,013,735,563,386,414,385,283,882,820,029,658,190,793,
552,638,606,845,571,235,158,176,525,119,870,547,961,069,390,301,101,169,496,
695,406,368,030,299,920,937,455,867,418,343,554,156,436,806,816,472,700,794,
511,220,677,838,259,085,263,520,791,516,141,623,502,592,430,819,239,175,205,
564,767,134,201,093,400,346,423,863,780,283,435,951,240,266,126,582,627,789,
050,420,872,580,832,496,112,910,742,533,482,027,383,577,545,223,521,753,074,
601,157,294,641,680,618,549,889,234,036,402,837,033,487,884,068,861,495,405,
459,199,634,034,123,653,481,937,126,721,089,100,136,537,729,090,611,988,904,
972,196,985,871,843,729,301,669,973,795,323,472,521,930,122,158,993,373,423,
392,514,767,220,792,627,784,162,875,696,883,918,471,331,522,835,351,702,386,
227,795,956,375,799,481,348,210,093,949,819,712,417,495,638,522,721,512,145,
737,646,858,104,299,097,619,174,559,918,461,822,551,997,508,101,360,489,961,
353,191,200,138,988,685,331,847,483,131,169,279,106,847,298,260,334,927,666,
994,401,989,931,900,846,173,745,827,292,585,329,611,102,036,806,993,262,443,
987,729,380,647,401,283,284,571,856,767,250,848,351,768,760,519,722,174,294,
654,619,691,472,419,890,580,705,293,590,035,286,118,024,838,356,756,339,569,
702,566,934,136,333,668,437,083,145,303,388,627,311,961,215,276,159,886,240,
809,845,218,257,201,640,481,192,937,384,637,943,049,075,723,486,969,832,099,
309,314,617,874,321,968,615,240,181,174,270,351,699,703,375,817,641,958,552,
289,309,633,877,763,754,579,090,695,798,664,580,285,869,017,386,261,646,811,
019,411,096,864,882,687,501,672,208,101,999,722,127,278,252,814,721,783,712,
292,101,651,956,724,710,780,669,184,734,878,470,435,785,681,885,997,787,256,
514,878,378,150,411,624,788,067,169,787,814,797,360,878,251,621,781,775,008,
465,583,573,170,053,825,976,557,536,208,127,583,630,346,757,530,517,708,436,
694,158,604,302,536,136,822,962,362,045,834,308,424,611,567,210,066,284,647,
859,725,796,498,914,510,399,366,116,547,991,205,919,476,657,234,304,128,561,
494,292,237,922,693,290,619,190,572,694,032,136,167,149,048,090,517,786,514,
658,982,898,494,866,633,289,437,602,679,001,265,179,107,236,357,371,099,029,
268,702,919,720,589,115,978,880,375,538,158,668,372,163,434,321,335,523,680,
413,622,978,164,996,134,311,773,502,458,095,008,148,059,911,299,611,854,596,
129,147,342,565,600,837,410,546,534,675,380,409,624,166,992,831,471,629,182,
857,268,344,188,983,410,869,022,418,096,750,832,544,377,506,442,482,514,340,
616,970,248,225,013,189,250,367,968,652,893,397,721,078,923,012,218,096,030,
503,334,725,820,106,893,758,278,745,644,351,322,897,300,153,106,331,502,806,
070,659,914,482,300,788,806,925,945,043,719,991,289,302,730,836,183,651,589,
737,822,349,329,596,172,473,876,401,794,845,503,452,583,018,527,725,450,006,
527,899,029,011,479,184,461,782,259,312,681,152,810,142,871,828,416,775,394,
359,567,884,654,156,095,061,015,602,168,708,645,128,368,150,927,681,804,294,
876,703,966,867,292,459,005,091,553,524,147,334,073,327,881,474,748,616,109,
379,413,158,732,472,673,562,133,392,366,007,807,409,482,625,520,364,847,780,
198,305,424,052,853,991,801,507,167,508,343,026,886,018,194,072,915,164,118,
667,810,614,662,481,453,653,124,671,402,685,372,766,013,082,859,345,840,990,
345,531,304,597,495,541,955,551,319,523,831,659,463,597,185,723,598,607,323,
589,400,338,202,257,713,972,115,133,170,587,577,698,685,804,411,266,497,485,
375,336,626,010,351,310,908,203,751,174,656,857,620,997,112,524,568,284,804,
400,799,803,429,547,771,717,335,030,569,250,644,376,185,344,823,732,982,703,
141,478,795,712,179,261,949,575,578,171,948,148,496,159,802,606,065,601,403,
179,026,205,644,565,081,199,130,527,146,604,955,343,325,995,146,756,480,033,
951,206,043,135,915,581,213,172,262,762,634,736,681,158,224,079,591,518,824,
849,536,284,833,610,150,913,004,474,101,064,781,476,439,856,877,583,073,962,
454,846,917,159,246,411,397,651,526,235,230,797,242,218,732,777,305,964,793,
884,346,208,673,613,028,951,435,399,698,190,446,027,392,793,097,016,697,018,
806,031,140,019,400,591,953,442,820,066,109,007,341,291,028,432,673,493,219,
675,256,622,339,288,068,186,558,470,955,373,696,974,278,256,790,586,822,490,
504,193,041,177,983,881,226,588,752,764,994,412,230,505,710,677,751,401,195,
370,366,835,598,549,407,824,285,307,119,809,592,886,715,463,931,462,131,096,
025,371,321,993,092,165,772,578,979,599,976,319,809,709,899,100,714,683,833,
855,624,220,802,049,701,718,149,670,295,799,344,592,359,542,702,128,484,538,
987,392,044,355,934,404,853,615,716,712,668,068,909,940,436,665,017,739,002,
374,292,516,942,837,922,981,314,761,237,190,204,079,931,216,403,465,326,136,
002,191,596,572,461,081,416,522,952,258,341,042,851,736,223,621,036,837,577,
451,019,883,032,012,738,019,505,476,257,995,860,768,855,671,266,817,435,887,
935,522,565,797,733,699,644,985,640,357,422,667,872,258,857,487,584,827,248,
547,706,237,722,466,986,844,377,508,988,794,567,447,158,208,257,303,984,218,
117,785,925,665,916,166,671,979,907,962,223,101,351,574,653,297,786,359,430,
449,454,780,574,960,691,025,310,540,745,579,377,893,955,705,098,627,112,365,
810,944,410,098,683,663,199,030,998,428,369,436,529,886,224,733,758,984,872,
650,710,118,804,406,110,188,536,156,588,923,000,742,365,096,118,042,791,196,
808,828,670,051,616,483,251,397,163,050,045,263,144,948,901,612,899,801,214,
942,281,576,491,743,582,288,018,729,612,977,719,019,112,108,772,941,129,239,
640,833,193,174,448,450,987,303,611,668,511,450,714,342,809,920,696,078,123,
212,416,115,333,033,570,198,297,258,540,544,349,676,124,044,613,196,512,588,
918,555,360,495,986,742,953,867,725,773,426,890,335,895,407,002,829,201,776,
766,061,446,953,762,541,424,413,010,671,205,189,723,246,037,329,139,830,916,
882,807,077,928,418,675,898,163,850,464,722,743,452,415,081,517,756,709,358,
348,673,366,372,551,953,921,353,349,622,082,166,649,576,944,073,453,158,541,
589,136,528,650,621,183,461,906,340,558,631,065,045,338,759,083,461,122,288,
963,759,254,690,078,705,405,351,323,717,905,966,563,541,250,338,631,685,188,
080,554,686,185,257,346,575,659,941,242,219,071,415,214,987,936,719,994,346,
891,917,696,655,725,716,573,004,144,177,634,666,455,405,423,585,768,523,813,
967,763,450,846,385,110,481,497,991,288,242,093,307,277,185,342,845,315,301,
672,532,089,987,788,264,882,707,866,896,393,177,474,290,357,013,096,487,775,
373,756,133,010,427,884,262,620,852,126,329,415,267,166,337,346,299,157,492,
850,915,182,081,752,986,555,131,849,502,007,218,208,412,268,456,191,674,296,
213,188,224,784,169,092,084,668,744,356,898,616,364,005,280,532,962,441,386,
383,205,791,475,910,825,494,855,663,418,506,825,957,298,361,580,305,245,341,
156,294,917,900,671,564,289,113,921,944,409,377,762,322,715,275,523,527,762,
402,972,042,421,221,035,734,707,863,345,176,447,334,185,974,574,724,437,313,
725,224,017,609,706,623,854,993,832,849,776,241,363,788,251,849,889,135,936,
833,525,516,341,695,413,184,096,967,275,326,158,643,700,370,571,624,334,321,
479,338,328,008,240,656,488,285,447,489,825,458,975,556,560,419,397,111,296,
492,760,968,569,222,530,784,646,710,785,611,742,213,218,952,648,135,552,744,
317,173,705,335,194,774,093,747,782,446,114,172,887,958,605,952,734,274,651,
472,456,716,160,737,353,899,358,011,411,688,982,298,262,187,781,957,338,638,
809,073,809,074,052,955,746,375,433,821,465,513,437,422,663,681,185,112,398,
987,475,725,699,545,087,782,877,514,552,284,227,426,672,013,024,725,670,231,
504,473,569,323,035,456,245,896,929,090,460,877,471,732,452,522,561,688,676,
301,805,213,317,559,170,590,497,865,601,251,351,902,169,995,651,029,948,015,
002,600,020,835,595,893,425,951,372,158,749,147,883,522,705,546,293,442,884,
909,701,182,195,650,615,149,517,597,188,945,880,275,728,799,368,650,269,279,
462,199,826,798,906,112,550,260,699,653,771,708,502,801,988,830,816,577,184,
214,249,476,820,119,165,456,694,180,220,926,283,681,892,544,825,739,849,243,
189,757,002,143,334,154,752,341,951,707,476,642,542,000,000,140,981,061,109,
970,010,947,933,446,537,110,471,498,502,069,369,891,836,895,964,136,387,896,
840,206,367,191,852,231,302,679,613,381,601,428,988,635,180,382,542,397,313,
247,791,854,677,128,416,663,936,907,166,948,834,401,527,552,400,721,371,948,
831,321,231,913,363,747,248,956,012,610,722,012,025,583,097,949,512,245,716,
107,699,477,437,880,792,742,750,949,342,853,950,732,898,555,566,011,000,762,
451,240,986,530,779,420,814,462,599,686,533,925,732,905,937,921,113,775,244,
896,650,111,354,325,105,835,775,781,409,632,008,728,699,349,778,958,077,143,
877,533,122,202,773,208,516,075,632,488,333,315,256,838,408,622,811,416,029,
759,633,861,655,626,456,074,190,659,986,727,075,434,795,360,144,520,618,430,
607,389,249,032,979,183,614,897,811,138,491,253,437,320,200,637,838,227,237,
668,288,996,132,541,534,853,312,824,766,250,020,036,728,060,070,576,255,817,
962,456,305,439,369,709,191,818,795,025,398,188,578,379,628,010,327,513,367,
523,497,290,083,653,630,390,955,883,385,869,815,052,560,009,705,244,955,064,
296,123,878,040,648,186,890,270,293,088,965,787,512,438,056,915,407,992,291,
973,135,096,080,477,917,378,617,488,697,582,916,884,249,754,709,432,267,227,
157,338,087,435,936,526,271,647,532,190,838,772,443,166,385,540,128,047,036,
714,940,280,173,631,583,204,877,483,960,974,365,884,753,443,792,677,540,604,
278,378,995,440,129,504,116,817,269,801,287,938,809,890,317,715,858,893,736,
692,762,012,017,013,739,324,284,528,693,923,625,170,842,937,388,095,257,721,
461,463,341,340,984,542,882,280,433,167,805,572,591,986,257,737,043,796,419,
153,594,658,874,751,658,858,230,811,836,053,187,762,543,184,474,981,947,664,
513,894,038,085,615,632,752,861,714,582,194,432,932,300,408,939,419,415,053,
146,035,066,886,525,870,718,624,565,832,551,266,831,511,756,550,347,636,289,
788,224,374,816,605,463,223,983,038,932,947,889,326,421,766,113,745,529,914,
023,121,805,086,185,117,451,522,280,910,098,614,825,296,733,627,898,507,566,
526,409,995,073,002,910,922,200,975,816,703,485,064,281,775,790,205,884,223,
998,913,823,287,218,951,624,323,529,559,394,306,810,577,850,992,927,436,990,
497,383,042,996,241,653,537,172,059,173,765,517,687,469,377,210,936,627,534,
392,267,406,706,835,881,284,343,710,079,039,777,850,826,133,533,217,145,234,
994,114,009,621,274,371,497,948,483,984,932,543,542,023,323,722,105,971,988,
264,220,980,378,691,546,410,456,887,331,692,907,984,523,081,799,675,020,401,
383,658,012,213,771,805,157,156,837,917,374,997,926,273,307,068,163,739,486,
632,361,043,309,211,825,879,562,740,012,610,316,403,580,567,451,316,791,810,
859,576,394,020,618,198,773,161,086,334,579,650,570,410,661,541,853,344,268,
874,500,070,398,862,706,734,849,705,868,553,906,242,900,952,977,146,935,984,
633,773,641,623,950,917,015,008,722,113,201,457,323,499,819,139,882,197,149,
513,689,021,610,895,488,017,994,072,045,972,858,437,684,749,844,606,034,487,
618,680,382,721,084,098,287,702,461,199,145,859,194,477,479,695,001,115,602,
257,513,270,315,353,958,201,948,201,938,068,747,185,080,581,653,421,908,641,
303,363,864,170,752,663,473,086,764,141,113,437,664,728,165,498,323,746,449,
360,099,589,155,193,448,479,180,593,356,764,531,162,093,725,740,714,499,104,
497,787,297,107,846,137,736,617,885,064,299,637,348,854,115,186,047,798,992,
122,607,397,893,060,569,381,300,201,788,195,509,301,000,047,130,116,224,723,
213,900,250,145,274,168,580,016,288,118,868,343,851,084,118,147,887,952,258,
723,790,908,006,425,153,005,573,951,370,982,829,004,685,810,122,205,198,618,
836,836,975,600,947,855,324,780,476,483,762,346,969,256,461,552,198,531,232,
653,339,334,104,452,089,989,099,341,320,681,691,668,093,327,752,021,171,699,
367,196,847,589,367,382,672,598,714,061,106,899,848,917,272,528,927,075,335,
111,068,735,011,390,047,251,488,387,153,044,824,792,322,403,660,903,470,763,
713,710,490,200,935,998,140,732,110,716,618,455,198,233,847,650,284,827,001,
640,121,777,869,741,378,969,134,008,610,937,363,552,228,484,206,415,192,492,
938,032,970,892,218,424,147,932,202,246,447,316,322,140,811,767,541,547,841,
443,920,064,982,936,982,725,538,477,115,570,158,438,113,938,299,820,114,788,
734,080,445,349,732,494,931,800,003,281,972,917,159,277,095,128,829,479,225,
167,704,389,108,374,665,934,075,840,066,243,571,856,823,772,472,244,464,568,
594,221,957,100,018,580,328,627,355,993,025,697,409,017,073,891,484,765,327,
346,736,189,554,201,673,919,486,503,329,423,943,159,580,673,657,593,275,630,
742,114,562,494,410,125,998,988,406,304,716,590,692,284,931,297,742,606,208,
931,596,912,296,843,984,394,287,442,482,394,003,004,923,434,508,666,645,669,
946,947,112,461,995,722,311,070,373,513,666,900,117,357,127,695,362,170,636,
805,998,993,797,976,007,557,621,394,563,997,502,949,740,545,230,422,797,809,
909,019,410,514,390,161,081,816,237,646,326,937,986,370,512,709,903,954,372,
533,654,519,264,938,997,924,442,037,922,745,269,274,632,914,037,303,813,857,
255,147,261,028,226,551,012,671,583,710,452,962,465,804,536,282,896,694,989,
446,836,460,847,236,464,969,796,556,842,172,517,405,295,831,672,929,932,150,
759,495,130,091,569,787,991,026,970,577,911,461,424,955,845,017,131,968,293,
931,864,936,276,362,299,693,117,081,607,585,932,237,256,958,413,174,912,703,
556,293,944,916,917,271,098,448,978,111,679,125,421,994,969,647,074,606,480,
867,192,708,167,919,948,543,971,134,648,827,582,917,622,793,156,701,818,978,
903,817,232,066,700,616,428,041,761,668,320,818,311,840,607,459,647,007,470,
854,975,712,881,822,373,869,356,129,812,349,723,689,731,445,625,761,928,721,
020,516,382,652,219,289,751,395,759,036,050,670,866,430,040,203,865,267,989,
189,143,988,752,098,886,386,201,781,142,882,536,696,424,675,377,531,000,677,
425,899,435,576,308,058,625,566,981,584,692,560,264,022,129,687,087,457,018,
600,495,990,438,807,824,634,120,259,972,259,300,958,200,030,890,383,212,995,
919,032,296,571,665,605,810,972,726,186,010,499,184,642,092,930,158,740,072,
004,840,038,784,787,574,197,426,194,919,606,750,871,986,242,105,737,177,811,
115,468,641,605,526,291,087,818,594,627,514,565,459,505,656,133,108,227,725,
544,384,247,652,973,766,550,959,033,890,475,966,849,000,493,035,148,064,914,
087,338,342,067,241,023,628,299,203,953,696,350,277,410,371,138,275,686,418,
667,846,614,444,934,428,071,535,996,888,315,469,859,131,779,724,169,065,176,
003,553,758,090,189,686,888,498,393,841,574,414,892,729,605,322,712,296,390,
955,604,403,848,567,106,472,366,644,828,789,008,590,535,753,703,352,347,865,
156,746,530,191,489,164,179,350,846,618,254,159,143,947,235,623,446,849,745,
075,672,247,940,072,711,301,895,784,183,703,875,009,031,227,828,059,983,003,
893,248,934,219,312,853,162,672,961,448,553,710,574,229,203,749,230,111,926,
489,709,516,161,063,498,407,905,224,379,894,241,601,790,795,821,339,559,213,
568,384,056,374,397,186,597,526,231,580,602,957,903,301,119,747,720,742,414,
698,041,999,400,785,706,850,867,409,928,157,338,223,822,166,719,661,862,256,
329,565,232,589,933,857,016,692,540,698,256,517,563,484,414,215,892,094,507,
615,261,694,947,340,023,829,095,049,040,899,609,047,166,000,134,872,589,411,
332,806,611,062,106,428,029,414,365,598,821,779,989,290,534,635,161,025,706,
557,587,032,934,523,993,706,378,040,092,000,429,250,038,368,588,118,665,148,
477,170,177,882,168,839,014,510,153,397,636,120,270,230,561,938,103,443,082,
759,072,838,909,589,572,314,608,084,489,884,409,550,096,693,383,581,809,704,
221,769,527,045,175,349,384,908,082,494,107,057,957,044,443,289,543,868,147,
314,832,957,158,473,674,899,303,134,731,272,054,049,026,684,313,093,097,240,
057,177,806,933,118,082,750,474,306,552,142,106,361,300,880,005,248,901,355,
105,271,766,387,470,601,446,659,950,645,419,681,430,199,467,543,878,848,026,
800,054,323,488,513,853,314,485,252,297,113,842,574,612,558,467,241,654,988,
090,280,993,487,250,300,947,779,577,742,414,569,628,653,391,397,115,922,730,
431,591,089,922,735,245,673,422,921,959,905,017,117,252,649,823,459,918,037,
274,311,137,738,811,776,546,634,189,338,236,028,319,406,015,550,941,161,721,
085,326,862,356,883,103,668,580,822,720,635,618,401,201,038,880,706,466,938,
791,643,660,536,975,100,162,527,494,760,467,100,340,725,385,653,657,643,489,
588,641,290,357,268,378,930,599,689,192,440,141,571,176,406,897,620,380,789,
798,607,266,875,031,328,657,101,034,382,425,719,110,182,053,639,900,457,615,
922,440,238,673,296,255,331,361,968,357,393,144,491,711,838,867,858,246,805,
674,453,791,532,006,225,570,959,631,395,662,880,822,432,231,709,526,625,220,
645,324,100,040,031,411,869,942,348,464,529,865,302,313,431,336,903,701,904,
503,422,195,940,140,670,719,677,496,977,925,477,812,308,482,596,022,537,177,
172,457,087,777,627,120,994,385,146,622,676,670,029,701,429,947,125,634,616,
956,523,467,681,224,691,947,902,547,824,323,515,272,537,558,341,529,578,148,
550,946,840,433,341,705,983,979,520,715,201,843,015,940,120,146,292,313,059,
999,140,639,537,073,130,201,057,851,460,778,744,005,917,570,615,066,762,060,
580,130,746,276,772,098,038,278,295,982,488,006,061,362,247,529,685,693,929,
887,813,322,196,811,943,150,288,786,642,770,961,926,711,838,955,101,282,054,
089,785,347,950,593,039,340,101,888,085,029,592,913,580,640,502,255,960,945,
569,220,777,251,908,104,192,284,789,466,872,587,268,550,657,802,003,509,892,
690,482,065,609,819,028,773,880,540,871,088,977,325,751,432,885,107,344,535,
840,434,318,705,357,266,589,367,857,265,620,971,512,751,661,591,515,254,670,
433,330,061,881,710,890,659,777,816,022,833,004,130,191,267,831,066,728,237,
404,113,463,468,982,877,650,817,240,046,222,746,324,052,925,525,017,102,843,
992,847,295,292,721,284,722,081,048,975,324,716,338,956,676,947,463,190,935,
683,463,713,086,002,791,507,348,326,158,519,180,013,337,698,418,052,036,211,
172,804,563,809,403,176,268,213,198,173,222,826,518,401,419,336,608,381,974,
603,077,961,814,723,303,474,576,477,151,685,046,762,553,464,288,897,948,654,
570,618,777,672,171,779,070,822,909,495,367,557,892,512,710,705,782,771,861,
981,285,215,046,203,610,845,886,353,885,497,712,408,851,042,129,916,280,972,
816,678,946,540,730,243,114,939,862,825,452,828,405,856,648,769,569,775,725,
720,059,575,817,101,685,695,364,905,537,676,473,115,193,366,037,020,885,951,
986,656,487,030,814,559,979,562,297,503,610,212,671,104,432,172,866,097,463,
351,145,114,329,502,989,601,617,847,758,163,542,178,934,741,051,905,183,843,
427,513,394,087,811,138,277,003,609,264,107,986,898,112,437,418,005,827,903,
301,295,689,398,576,818,872,721,085,173,984,124,917,388,848,507,119,379,508,
842,219,232,658,350,464,541,911,527,344,997,010,780,838,703,462,551,620,496,
465,552,697,573,360,636,545,428,107,521,238,756,907,076,911,188,830,972,902,
538,958,992,863,232,954,269,473,968,480,525,160,708,895,291,279,202,703,210,
038,539,056,955,549,289,835,877,274,155,599,840,245,164,166,499,929,635,569,
906,046,806,871,594,500,324,101,073,804,176,549,627,284,986,569,686,029,699,
921,761,586,359,184,633,577,998,567,489,163,388,174,273,005,854,808,112,989,
450,767,626,743,718,696,236,881,800,101,050,143,768,708,042,839,819,412,576,
616,740,196,292,641,595,805,983,509,507,469,260,022,010,247,451,355,335,851,
080,311,637,070,149,418,169,172,649,949,711,346,305,277,601,510,901,426,273,
870,677,307,053,664,959,407,023,332,242,083,125,049,971,507,311,634,273,380,
297,669,646,295,440,707,492,863,694,959,562,835,835,691,340,191,799,010,840,
731,832,700,898,573,778,292,957,525,342,127,562,166,237,987,698,053,965,528,
971,989,937,812,699,997,088,595,960,483,165,418,240,286,005,296,890,495,417,
094,785,166,429,331,449,676,675,023,610,754,567,860,366,439,679,337,336,376,
080,905,962,950,384,516,892,618,006,758,518,797,654,033,336,591,951,293,852,
636,335,660,605,755,733,100,427,260,762,962,404,494,533,967,328,892,902,263,
783,670,918,227,685,021,936,016,064,040,387,767,282,004,734,832,647,668,729,
775,840,725,699,684,570,039,708,902,228,643,112,078,225,207,100,598,662,313,
724,339,268,553,380,458,571,784,840,053,253,650,625,850,486,629,702,711,291,
636,764,209,402,492,549,420,675,870,068,556,581,640,167,628,104,509,246,283,
636,329,570,859,804,561,128,407,281,308,682,592,843,017,989,655,287,138,541,
269,544,144,999,840,784,128,819,221,716,511,959,006,475,222,815,590,022,834,
874,598,190,635,290,402,599,622,503,197,615,178,632,137,677,895,195,339,805,
338,210,251,221,450,881,815,813,154,961,779,940,435,964,136,161,588,029,019,
271,748,682,338,137,343,069,245,202,681,256,614,314,530,134,425,672,562,497,
277,812,841,063,980,606,028,353,180,315,272,403,038,702,041,514,628,328,896,
599,730,037,206,776,105,548,302,373,537,421,892,190,394,571,182,778,976,341,
541,922,190,182,204,268,873,061,626,317,922,819,940,990,621,867,388,487,584,
930,431,508,212,784,235,158,246,551,794,851,112,474,758,025,415,163,578,084,
970,831,103,053,439,958,278,172,310,152,650,731,118,045,379,920,053,704,144,
405,523,092,245,283,648,110,341,334,206,757,706,222,558,640,264,903,494,410,
598,851,724,967,741,550,435,467,591,916,882,337,759,527,806,884,180,117,713,
114,230,090,090,519,897,523,428,768,872,845,436,142,103,277,904,443,009,382,
372,548,684,812,041,997,254,503,743,589,978,448,832,629,594,770,137,455,433,
823,982,736,613,064,496,611,723,107,791,808,797,914,974,053,501,192,060,664,
455,295,473,217,379,462,549,918,551,480,719,219,326,183,056,652,288,177,074,
892,733,545,119,421,959,656,548,709,071,475,463,295,604,178,266,246,975,470,
774,806,303,647,903,133,336,724,567,824,428,343,043,316,852,890,929,042,247,
854,035,020,661,139,509,694,047,732,573,957,219,089,899,058,242,093,011,121,
701,094,567,201,836,759,575,663,489,729,756,185,664,910,939,437,457,152,028,
982,447,895,762,372,895,243,302,258,516,046,676,841,070,295,318,749,632,017,
263,766,669,447,266,846,194,566,811,132,236,891,528,193,434,754,333,349,172,
808,517,167,514,863,857,764,323,111,869,479,572,715,572,435,209,755,370,448,
711,065,991,447,104,756,980,217,967,508,571,405,932,543,711,308,814,877,555,
970,748,144,193,217,180,006,901,405,108,834,286,127,793,191,164,462,182,904,
403,986,721,453,836,792,947,966,654,830,452,974,069,353,890,831,916,724,096,
111,847,170,385,712,074,248,889,747,183,554,575,171,903,965,585,440,074,187,
601,287,237,452,276,784,953,626,749,302,363,038,836,834,074,657,914,569,846,
568,630,276,405,083,624,131,284,605,353,280,817,817,898,828,220,674,839,548,
902,420,637,119,852,605,550,849,933,584,394,702,256,651,193,825,092,214,111,
726,042,738,525,108,630,083,623,606,928,737,829,124,888,276,313,606,390,817,
371,011,427,497,725,422,186,963,112,524,264,097,816,476,416,656,506,990,715,
613,687,648,613,008,604,125,226,989,651,249,284,749,146,465,585,662,403,906,
245,468,063,810,317,935,837,491,267,221,168,450,650,474,692,245,635,929,698,
751,197,225,729,566,544,063,047,522,574,241,738,096,558,723,989,707,719,119,
414,086,726,762,238,320,554,316,838,261,572,300,218,751,557,883,419,212,547,
477,513,895,848,023,003,426,206,839,826,593,844,797,183,871,338,117,990,064,
787,241,660,246,592,977,633,269,508,786,982,772,514,464,304,163,031,674,606,
291,168,971,124,993,748,585,175,195,859,364,408,403,410,945,658,910,031,491,
610,954,646,366,465,825,348,510,445,155,842,821,112,879,682,557,644,424,363,
086,815,003,269,547,352,434,915,598,731,077,839,701,660,408,881,600,618,570,
283,499,700,071,608,430,615,182,945,643,138,695,565,972,570,788,280,889,696,
469,353,600,876,028,538,373,959,699,396,553,047,603,125,243,299,953,082,937,
191,698,405,703,189,012,212,627,375,068,019,575,523,311,451,304,581,776,274,
184,468,744,361,347,661,738,940,242,544,860,343,823,740,839,193,488,980,009,
487,032,758,351,743,432,596,628,963,938,822,873,452,760,762,361,001,440,668,
255,731,778,066,256,551,541,206,191,593,203,927,653,292,118,876,365,316,988,
867,402,954,159,218,964,825,187,390,125,311,161,893,275,644,765,667,564,638,
777,513,001,282,949,670,339,372,348,035,336,684,285,076,228,458,018,417,562,
010,020,113,801,635,945,624,946,132,139,980,654,063,256,301,010,496,079,906,
284,759,876,074,076,587,231,760,865,914,191,130,012,432,387,495,204,951,256,
079,703,617,986,376,419,379,469,645,844,971,456,116,348,777,349,999,466,631,
202,325,758,614,317,378,252,459,395,354,344,274,014,170,267,070,042,032,205,
509,437,858,499,885,989,785,233,460,151,136,747,551,200,111,652,810,758,089,
412,642,452,148,734,030,203,105,019,544,353,617,596,598,822,231,407,541,757,
288,551,879,960,138,114,849,698,154,143,442,328,161,902,250,077,533,666,217,
751,451,387,391,416,554,466,570,262,773,910,465,759,092,598,450,173,461,647,
346,621,568,956,110,647,183,417,073,633,687,120,785,918,144,221,285,404,812,
786,460,078,933,847,341,908,388,167,233,940,922,351,783,426,856,030,913,527,
140,242,810,302,702,185,268,980,741,918,186,710,584,479,388,049,083,985,514,
216,754,652,369,394,225,176,367,020,670,972,029,170,130,566,870,768,006,202,
633,446,977,039,265,819,375,509,746,215,831,721,195,236,559,947,568,181,443,
022,193,619,653,867,775,627,481,830,650,134,210,474,536,622,833,348,137,074,
294,694,529,752,081,836,970,585,756,919,508,965,125,058,374,622,658,452,964,
022,963,610,777,612,446,907,026,581,523,745,240,423,629,135,663,121,349,221,
926,063,824,727,997,762,066,394,590,923,051,805,181,514,588,735,669,174,944,
995,080,293,480,513,870,496,758,178,543,966,131,772,941,656,297,224,399,544,
541,937,905,156,150,255,810,802,792,867,317,530,318,366,025,933,482,165,191,
302,894,801,368,688,345,076,484,917,584,669,069,266,879,627,592,256,269,685,
658,517,688,820,210,420,572,566,550,648,997,550,078,456,392,309,887,034,700,
141,329,982,580,485,538,129,960,355,261,188,597,985,579,501,614,874,260,791,
464,916,604,070,797,049,635,737,824,975,365,853,104,598,624,825,294,398,099,
779,343,440,354,987,677,561,772,312,813,939,279,504,182,049,159,070,286,542,
664,578,881,398,761,097,321,089,548,932,585,306,020,551,741,044,463,953,339,
847,748,634,151,725,623,693,685,400,161,288,891,325,486,329,129,905,278,269,
613,735,162,155,096,060,155,962,551,937,769,985,078,194,096,050,648,109,978,
759,196,533,395,326,722,050,631,522,849,707,520,885,978,658,749,553,397,245,
834,977,479,845,142,597,225,952,831,257,192,150,735,851,101,290,859,517,800,
377,208,117,922,904,234,005,863,823,548,384,811,969,543,882,768,626,372,839,
373,458,007,219,458,167,999,558,359,707,784,358,736,226,768,290,170,954,607,
750,173,586,666,017,159,041,515,868,606,900,361,689,871,190,519,667,824,577,
147,455,024,464,195,093,098,923,616,969,819,174,887,892,341,170,848,096,234,
226,342,258,674,560,257,677,252,304,993,523,222,254,337,501,468,904,891,634,
974,697,283,120,065,017,350,845,076,927,881,500,405,747,773,643,795,971,182,
455,025,316,845,558,427,960,015,725,060,214,823,763,645,930,570,059,994,896,
355,125,022,569,381,096,200,025,841,041,316,779,306,781,338,739,861,797,098,
874,988,528,535,868,829,001,650,212,652,962,005,314,792,157,096,669,880,848,
911,071,863,851,631,543,844,964,383,539,210,721,941,932,339,514,152,475,100,
861,249,255,949,953,738,012,084,540,388,260,461,521,618,801,946,457,279,577,
733,486,232,990,190,695,983,761,042,113,129,763,639,139,325,777,982,158,539,
212,410,616,458,141,939,981,207,417,067,993,697,210,395,278,207,400,990,358,
381,977,448,603,597,711,829,344,795,729,572,311,754,838,270,981,181,697,589,
667,662,564,856,321,093,793,013,812,287,810,917,002,624,565,988,212,344,485,
917,632,099,586,475,060,651,603,011,001,597,313,736,123,703,788,029,469,371,
946,320,647,098,381,236,980,887,415,919,495,145,256,460,390,469,107,243,883,
311,617,240,401,360,730,763,410,294,702,327,065,018,069,507,006,594,609,273,
522,142,531,173,373,084,684,222,868,482,630,236,877,661,498,982,301,728,914,
796,957,780,559,740,320,925,326,996,750,089,926,196,776,248,464,786,317,903,
703,389,512,496,105,520,652,271,692,723,150,690,002,636,469,281,712,401,505,
785,613,439,425,030,462,203,084,627,658,276,062,097,838,881,550,004,411,984,
913,628,651,768,269,355,102,200,189,924,182,889,387,857,542,940,225,514,039,
708,909,627,167,211,556,019,072,408,757,887,074,610,886,830,162,308,624,933,
773,485,748,615,303,998,365,973,219,252,980,357,748,705,557,234,622,344,243,
535,835,544,486,624,679,694,733,408,328,854,806,539,487,138,794,464,568,927,
626,760,748,392,457,210,564,037,788,509,746,016,050,790,982,862,038,160,208,
545,153,819,633,699,467,460,335,215,461,824,763,341,792,253,549,494,791,919,
094,289,065,778,503,741,788,896,506,678,098,721,972,417,504,627,622,157,025,
087,055,095,281,350,571,233,749,634,240,932,975,415,895,774,028,283,188,792,
823,127,229,180,583,097,625,339,537,293,376,777,275,567,071,070,838,535,841,
567,866,797,366,805,391,922,207,249,867,221,866,128,704,213,211,171,754,490,
281,916,851,186,168,383,653,198,069,767,598,297,397,648,023,496,963,433,810,
092,816,084,486,233,726,537,640,831,460,553,838,905,755,624,119,319,124,307,
744,242,206,634,460,760,723,545,079,641,991,659,678,751,900,697,336,102,711,
689,421,908,365,641,381,067,878,503,022,736,624,777,142,542,073,428,898,315,
572,769,151,331,799,519,726,211,691,125,789,952,616,096,012,520,481,987,128,
943,911,356,692,949,983,761,181,253,469,178,608,783,219,146,437,570,226,237,
653,715,133,488,528,288,002,212,227,389,616,447,988,974,464,783,579,205,130,
731,994,767,152,515,048,680,322,697,853,264,142,190,271,609,722,652,900,529,
920,685,896,007,349,213,795,605,489,006,113,744,127,660,247,216,759,337,404,
812,663,390,886,058,966,700,614,239,671,323,857,989,695,801,558,282,135,445,
477,375,466,744,448,528,588,750,403,802,107,938,613,269,190,860,978,074,687,
577,238,416,055,660,853,456,099,818,122,299,773,343,077,299,245,725,011,862,
962,535,880,308,893,549,332,452,766,427,487,598,495,064,479,844,509,220,766,
155,645,528,027,624,423,021,365,186,290,974,143,175,122,360,890,800,384,077,
639,972,801,941,171,605,161,687,703,636,073,771,402,287,984,338,137,275,880,
838,942,144,821,976,370,619,881,935,426,241,307,796,393,279,350,613,583,412,
411,657,643,610,643,966,485,590,472,227,401,625,263,040,789,094,730,733,270,
483,858,783,118,882,686,722,902,418,671,642,257,065,859,190,619,249,648,265,
185,078,334,523,305,768,642,501,389,855,369,108,756,257,748,614,538,137,628,
892,967,266,665,823,764,817,240,066,599,269,976,602,786,233,550,818,910,082,
172,200,693,825,751,167,134,962,413,626,139,813,483,212,439,063,499,287,641,
972,394,992,077,557,683,085,327,872,603,210,997,177,520,122,281,621,120,872,
964,465,445,017,235,533,634,842,168,689,924,004,833,541,574,956,377,456,527,
039,860,768,555,053,013,819,807,814,453,408,177,053,469,519,201,171,901,186,
189,906,807,628,494,101,628,552,804,083,803,202,325,266,940,177,144,071,697,
018,880,411,525,205,357,066,125,505,390,944,364,414,733,424,197,189,614,432,
318,476,820,461,715,289,450,090,418,774,755,750,294,189,683,319,530,815,561,
328,223,335,278,907,435,465,512,110,160,388,202,145,386,287,330,567,265,807,
784,174,442,610,120,225,184,298,733,259,386,933,441,290,081,929,002,444,941,
130,141,887,718,168,109,054,253,193,489,090,468,309,978,270,237,974,661,447,
225,790,340,783,621,280,344,178,139,359,162,794,945,213,987,052,037,228,683,
417,812,569,333,156,186,438,544,207,182,723,563,112,166,787,030,522,092,176,
587,097,117,867,860,138,770,832,566,098,506,078,043,379,101,142,244,904,816,
685,965,591,931,700,311,782,970,449,417,709,951,594,360,118,763,098,854,565,
636,605,997,392,508,298,153,057,359,570,371,327,184,655,223,047,250,270,672,
160,001,807,472,115,192,245,609,364,751,078,203,339,846,416,869,285,973,398,
037,206,454,637,469,623,551,929,351,973,941,654,810,613,302,469,212,250,375,
291,003,403,945,449,115,860,391,184,158,776,163,179,144,441,180,238,005,191,
186,109,563,570,446,473,046,646,849,526,513,673,923,738,751,903,020,770,271,
190,260,954,554,130,892,334,208,419,157,775,354,685,765,854,350,759,179,869,
469,356,341,785,289,730,801,751,982,425,116,205,355,579,794,005,315,700,311,
042,602,455,848,925,611,546,943,992,457,075,827,553,266,206,577,723,420,265,
748,646,179,057,251,336,651,156,000,978,549,299,351,338,969,881,134,710,758,
987,617,519,374,062,398,016,428,348,163,574,991,482,874,958,692,281,175,819,
662,136,278,818,704,160,399,704,730,271,619,953,666,118,851,334,141,515,352,
872,101,005,426,671,986,104,739,300,900,350,949,167,366,920,633,935,933,690,
070,703,305,072,159,163,582,180,944,746,043,229,416,635,799,444,015,875,050,
544,717,786,668,447,331,889,182,514,150,871,960,201,059,065,168,641,685,852,
029,112,379,788,880,206,805,236,852,742,124,506,215,494,568,014,714,811,359,
938,367,066,089,856,193,867,471,439,777,017,616,017,923,065,118,073,042,955,
713,867,130,680,229,641,308,720,773,249,950,876,961,631,083,928,660,526,006,
988,938,941,887,502,169,300,314,296,540,914,133,304,459,746,236,519,358,629,
611,943,132,580,215,216,243,143,323,486,854,058,213,614,730,518,741,287,212,
892,365,181,259,539,844,551,095,082,401,957,203,139,555,025,511,889,864,551,
252,890,811,863,235,395,540,717,642,448,895,344,322,881,111,538,517,575,262,
277,439,594,365,173,755,886,511,578,907,384,100,857,656,722,845,085,181,877,
014,974,928,286,340,602,180,462,291,685,424,302,104,357,976,318,308,433,652,
069,746,533,341,326,358,006,412,531,613,457,485,523,441,771,726,367,858,843,
830,649,131,005,329,952,950,392,974,970,636,822,885,740,426,812,776,403,918,
975,562,022,270,459,813,667,363,928,505,545,940,940,844,437,070,441,208,420,
394,286,856,709,418,932,803,976,409,651,154,288,599,065,033,649,173,209,812,
001,096,210,807,853,240,147,514,957,588,681,532,954,445,396,082,389,932,797,
711,608,129,081,266,627,783,317,763,973,140,530,376,373,232,120,955,606,946,
481,008,417,339,875,573,705,067,949,117,677,002,108,154,656,507,566,644,332,
893,088,640,907,507,855,561,611,065,910,815,198,116,455,558,019,145,562,972,
249,294,858,497,880,627,446,902,801,080,930,754,358,461,510,334,874,111,215,
757,450,362,857,942,595,970,302,814,431,059,486,985,398,072,174,887,076,321,
897,308,224,555,395,239,023,153,643,546,360,618,488,797,691,165,968,805,654,
002,032,627,303,105,446,938,846,857,355,538,073,501,601,905,951,931,616,372,
752,258,315,167,810,195,286,589,019,852,473,345,275,247,988,535,527,756,395,
107,933,548,953,757,485,480,254,716,772,171,556,583,628,378,999,163,395,254,
231,061,968,632,308,546,794,361,101,704,813,618,035,335,828,350,448,283,981,
031,830,884,163,046,329,390,153,021,558,133,946,857,406,424,941,366,485,153,
345,257,071,443,251,085,498,431,644,556,586,687,187,273,328,429,204,754,095,
528,456,820,801,628,287,428,605,113,889,158,488,529,764,994,581,621,501,025,
085,032,657,233,427,999,821,106,979,410,469,375,264,532,145,282,925,113,535,
756,415,455,731,795,373,444,255,010,383,132,257,426,543,716,981,842,735,872,
023,472,694,330,256,226,532,932,458,602,362,595,486,547,780,634,710,350,997,
684,078,019,385,264,034,056,359,846,999,713,463,157,428,680,804,150,241,678,
264,471,192,058,716,776,191,489,579,064,171,601,774,126,363,465,253,272,360,
887,183,687,717,250,664,416,562,870,523,733,099,450,264,278,670,786,228,917,
924,780,337,584,538,896,966,500,669,915,177,143,279,980,789,038,662,328,232,
186,546,508,886,626,886,103,035,024,288,200,306,811,062,296,830,775,483,453,
215,920,104,632,333,476,453,906,529,801,567,936,902,929,406,756,847,265,318,
169,198,874,609,364,360,246,061,386,486,235,037,790,284,480,647,301,228,616,
888,229,342,818,785,893,498,333,872,355,987,334,645,316,523,429,215,102,281,
651,451,987,880,099,767,170,127,021,808,864,002,628,497,803,214,732,378,076,
321,601,684,708,764,995,280,043,178,650,344,178,786,629,248,425,999,830,338,
841,481,310,090,666,293,533,057,743,470,640,453,847,042,151,522,324,570,925,
220,701,553,261,676,125,003,320,872,689,025,862,815,856,965,977,241,320,034,
843,343,906,784,559,041,406,290,976,516,140,905,909,931,828,590,054,130,405,
442,882,222,894,069,513,916,016,379,122,297,382,306,423,362,841,641,118,573,
673,379,548,316,956,042,370,243,169,354,863,222,155,172,082,344,963,725,025,
864,503,570,166,832,972,023,980,713,919,360,147,170,465,313,057,841,289,542,
658,255,200,016,472,089,985,936,526,855,182,169,176,862,468,355,971,854,053,
009,775,669,800,522,597,597,006,293,091,545,021,669,540,159,420,743,917,258,
785,930,535,846,402,453,235,524,612,701,734,383,179,765,251,410,748,629,979,
883,073,459,813,658,698,876,008,441,878,818,617,941,445,979,025,587,726,796,
392,467,951,617,790,021,070,808,574,132,757,454,740,139,430,800,990,428,794,
828,251,906,882,044,059,500,598,959,273,016,277,772,599,261,168,628,820,971,
692,132,263,651,649,624,356,104,269,188,364,945,973,567,605,382,560,809,970,
500,277,479,552,162,962,231,836,939,587,892,208,476,936,586,810,362,760,699,
700,700,879,680,986,565,986,615,635,574,701,091,491,726,516,767,362,201,610,
381,055,028,503,989,199,298,096,121,605,057,867,665,816,764,408,011,109,915,
384,802,809,641,230,105,816,323,638,168,206,393,306,916,843,176,300,947,610,
988,664,266,167,451,670,415,418,023,082,212,546,816,685,264,843,782,650,923,
220,376,622,548,542,300,889,084,663,984,625,922,613,700,652,044,952,274,792,
731,450,938,650,632,942,110,072,774,358,429,531,002,183,744,156,234,902,105,
688,073,177,149,497,554,591,773,768,270,892,524,457,136,846,990,831,637,891,
781,534,725,068,015,673,448,630,545,673,380,920,278,313,123,540,858,339,486,
567,654,676,756,670,942,163,505,568,644,961,830,753,560,232,021,763,016,034,
947,809,284,684,541,683,821,667,188,802,515,509,559,699,218,965,656,708,755,
645,988,822,559,548,013,252,908,040,576,416,590,811,900,592,823,616,855,788,
170,075,315,486,612,346,634,160,056,571,276,248,033,767,600,003,590,095,624,
914,680,911,620,358,485,786,427,646,389,716,068,404,760,598,494,869,738,194,
111,766,888,746,936,122,823,176,676,067,894,108,510,426,400,072,361,992,795,
543,795,836,833,773,286,073,385,453,156,630,636,233,920,348,381,989,753,548,
331,708,889,804,016,538,387,236,187,163,410,971,311,393,338,738,548,989,983,
147,666,967,092,659,609,740,425,968,363,173,395,087,649,370,232,481,651,127,
236,953,605,482,408,596,340,412,503,892,061,636,911,129,119,408,648,119,005,
373,193,995,122,441,348,725,670,299,316,186,753,432,908,201,208,517,622,450,
515,704,318,590,055,077,040,097,666,748,615,629,490,798,942,840,674,638,500,
272,467,878,321,473,908,253,653,915,844,984,310,281,553,272,332,729,301,206,
835,363,478,479,985,209,200,974,059,126,818,410,075,260,112,476,857,747,737,
308,899,352,330,621,857,056,328,733,002,425,583,349,942,745,405,449,946,411,
270,356,510,937,715,508,980,915,792,626,437,281,298,439,691,337,647,911,376,
272,536,785,028,131,831,995,145,540,236,154,979,389,875,453,540,065,446,376,
000,939,044,297,346,890,132,875,186,368,234,496,434,146,088,517,908,453,090,
189,517,038,557,986,645,399,614,140,384,027,007,162,768,285,836,158,697,427,
512,926,416,267,754,738,752,961,090,981,458,125,372,585,017,653,599,150,955,
183,113,699,588,135,049,695,878,948,620,329,822,832,174,111,785,332,359,046,
986,628,546,389,134,496,617,810,491,505,133,254,067,383,670,096,894,303,714,
394,061,397,547,241,018,022,239,540,172,674,246,890,508,880,219,369,615,662,
300,237,085,396,065,213,200,188,591,611,186,112,947,826,259,223,881,630,572,
566,624,389,555,620,057,414,815,334,812,763,742,762,642,807,408,060,048,159,
008,536,744,636,018,204,942,815,193,104,448,626,290,967,838,702,048,292,979,
784,688,385,852,056,124,343,376,269,675,209,406,820,404,240,102,446,467,712,
348,084,940,833,551,552,113,449,252,439,282,154,079,967,114,129,599,929,686,
194,756,269,857,595,787,565,896,600,752,523,377,639,438,711,216,201,602,866,
534,248,082,046,393,718,264,763,414,934,536,245,821,076,414,961,075,902,147,
504,729,458,601,397,346,312,284,339,965,398,346,694,826,758,667,782,221,958,
133,407,151,684,815,471,988,804,024,188,293,109,219,680,355,158,900,611,583,
646,939,399,400,269,606,510,566,494,101,630,454,883,349,523,437,869,186,252,
249,537,511,526,612,343,090,683,977,560,515,590,945,695,718,102,536,729,432,
245,374,440,910,521,087,978,874,558,272,043,014,275,885,600,172,843,404,028,
874,718,724,244,681,263,412,978,172,876,738,575,296,966,533,531,188,533,607,
953,147,065,110,566,083,768,098,215,542,511,279,798,108,769,428,739,676,924,
297,283,852,451,311,994,856,513,619,583,597,497,458,408,985,641,394,481,663,
999,882,572,023,991,798,616,503,428,686,319,501,347,175,599,698,337,125,965,
481,071,112,779,878,827,747,429,992,323,312,957,201,167,227,170,534,023,268,
686,806,020,549,156,928,424,826,150,212,985,423,343,284,277,632,872,527,670,
520,563,881,402,995,963,037,094,992,282,994,988,859,022,002,716,890,272,975,
477,515,304,964,251,318,706,350,895,194,480,049,559,066,317,184,761,547,164,
007,115,191,155,481,520,324,725,701,436,720,848,338,173,327,698,142,558,127,
233,643,040,330,627,275,460,750,423,433,487,519,222,061,376,397,859,272,208,
280,584,523,499,652,348,948,560,485,158,088,509,585,482,631,157,418,987,296,
268,441,055,654,046,850,925,692,739,864,300,315,214,232,708,133,323,754,139,
318,824,337,050,105,916,550,959,979,750,096,806,796,276,808,011,955,935,229,
229,318,852,504,353,368,290,410,109,308,566,655,391,546,739,113,831,618,843,
426,514,811,319,590,477,301,174,700,116,935,445,260,403,298,590,576,800,092,
944,818,577,575,569,201,467,871,055,964,958,941,975,018,082,696,517,696,856,
269,252,167,463,823,394,994,318,338,134,215,872,910,593,975,084,022,911,291,
302,188,794,656,700,183,088,027,375,689,540,861,568,826,078,923,562,565,108,
820,259,373,960,918,833,617,849,981,719,779,417,977,012,676,383,952,880,498,
129,687,065,121,980,765,286,329,182,234,299,155,098,406,495,754,488,509,078,
771,468,955,819,906,521,871,772,237,985,249,715,148,542,212,289,318,871,890,
835,669,429,691,422,152,799,233,705,952,414,855,389,968,537,588,705,876,227,
510,308,969,626,491,982,557,094,073,084,360,038,636,297,757,021,917,823,274,
519,800,882,025,453,075,470,618,431,052,430,416,078,755,570,305,743,371,317,
090,647,035,858,986,455,818,863,161,590,156,025,486,210,076,376,004,922,853,
400,375,120,691,067,485,199,830,655,407,415,912,672,212,666,844,414,707,121,
465,706,085,629,511,069,856,513,586,138,784,578,205,346,814,275,517,598,998,
592,642,640,131,956,930,111,127,276,800,602,533,467,334,899,589,150,855,061,
740,736,218,725,301,474,052,493,866,485,651,807,653,787,943,799,658,713,126,
929,678,266,420,066,527,102,808,847,745,466,936,963,458,807,521,894,609,542,
182,031,253,026,445,998,867,673,932,347,117,053,685,931,900,146,841,193,002,
207,985,401,058,459,682,918,759,677,056,144,539,627,552,870,861,680,691,742,
360,693,318,311,281,354,132,058,251,695,324,461,240,718,005,349,908,232,688,
523,884,179,418,264,588,642,158,168,014,269,629,169,825,371,022,006,123,055,
661,226,785,617,264,200,377,069,173,384,913,039,671,212,803,837,517,692,390,
303,140,844,129,679,464,361,648,538,477,695,472,726,732,338,842,348,943,940,
169,489,132,882,640,010,334,392,766,358,004,841,808,030,896,616,811,604,201,
091,947,373,577,042,763,333,353,905,634,899,681,359,901,129,676,082,695,385,
777,523,035,392,501,325,602,897,273,340,602,976,342,883,436,240,308,320,132,
549,875,172,439,466,388,891,565,984,086,269,767,208,738,199,183,572,002,051,
780,002,558,270,375,114,419,456,265,885,131,029,396,166,938,120,641,690,638,
602,579,023,477,645,601,194,871,487,285,332,369,751,271,670,986,662,216,641,
355,462,988,285,481,576,771,652,056,844,720,101,108,368,470,182,112,735,991,
195,387,971,497,557,380,188,230,848,894,150,449,455,007,031,031,712,865,687,
202,097,611,070,912,733,138,522,606,090,868,220,207,092,342,689,327,078,424,
954,640,497,297,123,604,209,471,368,150,413,334,389,788,560,188,445,594,631,
880,830,588,564,792,886,539,131,879,713,436,167,243,765,128,417,070,124,262,
282,589,267,948,934,067,805,093,150,333,624,014,434,195,846,548,827,921,607,
871,418,274,800,591,002,945,895,726,534,208,303,988,254,645,541,538,833,299,
659,385,645,632,251,816,602,879,864,358,311,421,456,701,189,390,852,485,980,
809,075,175,508,455,127,924,065,914,429,353,009,762,877,643,909,097,287,269,
875,828,289,388,012,830,996,841,905,587,562,159,948,221,321,966,013,719,587,
279,398,666,443,102,128,509,075,624,940,742,297,865,667,837,678,195,532,034,
682,083,778,021,160,436,477,401,201,179,289,975,342,102,121,038,158,332,871,
348,893,473,610,391,100,550,791,635,391,151,292,986,995,136,752,879,573,393,
114,562,890,720,365,396,828,445,273,121,585,138,097,312,889,747,391,769,771,
020,922,317,247,256,511,967,795,374,712,252,560,998,611,023,730,463,847,369,
806,750,175,558,180,098,936,019,991,525,416,865,122,982,115,534,428,524,855,
617,843,526,405,553,711,732,246,083,558,301,083,861,246,805,905,080,945,834,
318,333,540,704,977,864,371,859,083,573,242,210,872,984,860,563,746,535,231,
125,592,142,086,683,860,381,367,995,324,670,370,123,885,684,510,587,263,397,
444,615,567,360,278,471,407,263,040,952,315,192,880,500,971,753,920,091,763,
716,482,731,997,425,383,215,028,611,023,693,559,040,181,184,409,228,282,431,
636,827,094,154,882,468,097,133,749,383,924,757,125,130,865,130,903,695,755,
332,553,199,195,167,342,847,802,138,526,084,149,139,974,171,848,673,694,162,
863,374,323,778,447,108,919,850,850,598,014,222,467,836,242,847,409,672,778,
447,791,998,180,318,547,985,904,285,871,460,649,243,673,571,490,548,865,467,
981,416,206,970,464,253,327,187,465,938,490,265,124,189,628,156,245,504,287,
257,447,724,762,520,563,779,884,699,568,145,566,102,315,431,700,027,287,043,
149,275,110,941,243,867,239,729,443,021,375,266,470,145,232,108,543,655,716,
334,211,286,970,530,174,311,899,722,370,964,680,757,763,196,239,729,988,985,
424,201,147,735,272,548,596,442,970,228,808,788,449,696,435,055,999,338,941,
734,991,098,635,060,584,921,524,392,827,487,059,547,286,215,700,950,027,377,
550,117,385,008,786,397,105,584,862,282,172,096,340,675,066,136,631,424,388,
073,090,182,915,193,901,312,339,369,851,022,850,050,519,842,017,882,383,746,
961,494,560,853,337,316,987,970,039,834,561,125,585,935,669,909,125,132,838,
087,720,451,727,372,440,883,180,249,676,035,540,910,032,382,676,251,767,070,
698,551,250,906,740,611,530,605,197,049,805,295,145,768,191,350,681,337,622,
510,917,211,184,696,546,712,427,159,042,241,690,600,257,041,761,806,917,334,
698,260,741,503,297,944,793,871,982,767,300,378,169,972,008,254,054,565,684,
652,854,380,194,492,524,592,839,473,818,935,005,542,439,777,840,513,143,981,
821,390,169,544,306,539,589,072,768,785,797,420,412,708,393,371,358,951,095,
498,210,864,275,734,593,242,951,900,316,545,692,053,150,443,396,317,739,574,
594,140,615,296,342,393,779,317,241,635,774,511,296,980,178,512,687,785,836,
519,852,811,783,669,188,415,438,010,438,419,622,210,077,507,412,244,615,507,
829,174,470,789,560,081,877,719,837,145,986,123,669,630,217,216,578,057,768,
092,464,287,597,573,295,382,815,669,011,800,787,420,000,952,383,964,719,262,
140,936,712,477,305,681,243,807,212,706,251,534,267,365,509,120,975,231,237,
773,150,212,973,560,011,189,950,165,116,502,733,295,109,088,399,458,900,069,
693,511,152,307,395,084,049,778,953,595,428,973,522,741,474,431,389,085,915,
158,701,450,156,435,782,211,150,698,604,526,453,924,682,170,997,875,790,446,
224,499,951,656,926,885,649,593,404,751,684,847,673,304,724,246,446,617,074,
507,789,661,198,869,090,830,549,056,384,331,677,712,198,771,231,347,050,714,
439,882,581,635,146,820,034,171,229,345,271,315,096,558,681,502,310,754,841,
002,612,495,298,773,845,723,236,563,682,553,886,431,790,095,388,959,473,750,
339,546,333,261,003,676,406,748,250,550,640,535,191,917,469,965,610,764,027,
601,822,323,989,787,892,716,167,067,407,183,669,387,343,396,235,955,251,262,
200,223,998,209,203,787,839,894,444,185,830,148,650,388,465,523,847,807,033,
590,690,594,530,599,151,046,707,182,493,884,750,882,109,333,185,654,944,615,
804,670,416,560,366,935,010,859,120,753,201,660,682,540,951,644,342,992,227,
845,397,971,044,225,485,311,945,172,091,089,096,969,175,520,971,402,109,385,
472,114,595,203,031,022,667,197,743,843,658,904,420,520,331,991,570,684,682,
398,239,328,930,701,238,740,724,966,622,852,879,105,785,516,093,095,282,738,
801,872,440,606,437,868,581,302,142,888,020,263,128,791,813,424,386,660,845,
258,548,459,883,707,328,266,535,944,440,165,085,099,000,492,560,109,982,961,
372,210,431,437,813,295,067,233,246,168,426,117,507,685,430,007,398,678,739,
828,310,968,745,199,913,102,222,703,060,613,799,778,158,416,460,262,211,166,
151,101,378,662,471,778,288,335,501,411,796,330,069,361,452,748,212,343,907,
551,900,786,171,582,185,832,831,286,088,020,967,045,750,054,192,589,929,854,
433,431,806,218,631,888,185,367,351,747,146,284,805,937,753,453,548,749,097,
276,303,221,546,649,890,636,951,822,214,293,029,187,596,230,059,930,391,511,
013,010,547,903,736,251,517,007,814,019,589,797,943,537,824,505,626,673,897,
253,828,004,612,440,794,734,647,867,263,617,471,629,957,549,984,032,042,777,
819,526,344,552,218,332,315,918,061,203,784,027,423,966,144,032,358,388,884,
139,881,138,026,478,778,497,213,456,052,825,700,689,349,865,635,198,042,290,
984,157,818,039,188,227,813,838,342,953,916,890,540,238,809,245,472,709,838,
546,048,028,380,726,650,304,931,912,576,679,747,296,221,662,642,100,424,589,
402,949,312,358,484,333,060,578,940,642,773,597,189,962,198,764,449,839,406,
770,324,807,725,625,406,547,182,195,248,590,533,769,931,528,497,737,239,783,
085,012,575,668,863,460,690,862,312,854,017,355,851,206,090,977,141,668,764,
862,970,862,972,613,199,722,948,633,213,943,406,417,515,666,976,283,099,156,
699,865,711,235,383,847,644,598,848,616,453,563,000,168,304,060,163,384,200,
910,113,405,048,970,171,239,617,082,519,030,555,460,548,289,732,077,684,591,
898,628,498,271,607,981,816,390,465,663,925,604,776,856,265,241,351,770,760,
537,488,145,167,239,750,735,315,339,311,004,421,550,998,379,160,094,004,127,
501,926,925,310,269,109,193,111,338,952,135,931,515,483,230,133,901,525,732,
509,366,633,515,090,205,733,483,794,447,813,798,578,731,021,197,475,580,548,
336,792,239,012,761,385,238,646,007,318,492,489,965,329,227,269,296,290,650,
820,048,385,367,702,111,874,150,870,581,400,973,414,071,024,809,946,824,007,
738,854,357,741,473,926,632,196,062,227,334,010,367,322,621,100,198,691,814,
820,532,057,887,450,567,817,831,203,555,506,750,982,145,714,880,270,063,939,
919,761,412,344,630,872,026,660,077,991,928,684,039,229,033,356,601,196,550,
540,248,903,940,019,895,266,002,306,182,468,129,988,331,444,402,336,745,261,
583,992,368,751,714,802,092,084,307,485,882,591,895,796,561,382,557,608,783,
713,200,550,625,436,299,982,768,775,561,632,820,632,884,363,705,406,557,186,
065,455,484,089,043,607,699,146,918,503,708,833,364,950,468,721,001,020,758,
309,382,364,637,870,887,348,404,683,730,003,854,836,305,999,827,930,477,935,
408,597,573,601,479,132,379,809,944,517,107,155,691,544,668,016,890,152,024,
500,094,491,184,777,874,382,514,591,583,624,199,027,595,942,372,872,726,298,
397,129,234,465,561,145,008,744,948,864,576,445,888,080,391,301,496,573,292,
793,640,611,139,873,111,758,545,709,331,417,854,085,267,858,816,199,616,655,
565,859,813,188,781,205,479,731,117,216,477,618,157,633,620,465,223,634,040,
461,600,755,996,905,675,421,341,879,018,995,539,729,688,051,579,027,040,331,
240,637,390,796,814,685,216,377,899,487,057,232,292,316,661,354,357,823,456,
897,629,677,593,638,335,964,488,148,702,618,908,877,659,354,401,919,877,875,
156,276,138,232,460,458,586,344,857,749,931,288,201,596,368,214,674,127,801,
611,096,573,264,645,839,407,346,765,994,534,428,468,760,919,316,432,775,640,
849,604,799,353,481,244,831,636,162,652,496,560,350,048,751,946,391,739,447,
930,124,862,483,066,613,247,214,016,226,426,643,184,332,827,757,757,363,562,
252,339,538,783,514,073,641,010,883,817,367,920,007,938,294,889,911,650,720,
628,333,790,111,004,988,570,830,483,270,685,085,172,522,960,231,664,727,654,
024,676,545,066,968,648,143,793,813,697,328,027,371,661,388,823,900,882,482,
063,986,053,541,238,887,564,312,292,850,748,871,647,345,814,341,809,688,072,
044,608,892,672,087,877,582,785,674,524,892,516,094,568,813,416,733,560,977,
798,966,016,128,125,891,855,848,761,650,460,636,493,136,181,618,781,221,534,
468,652,642,155,829,471,443,645,670,798,034,693,074,619,119,086,427,256,709,
169,993,477,702,025,642,956,712,562,688,791,015,110,564,570,114,706,993,345,
211,414,135,673,541,706,820,771,040,085,700,125,748,664,089,980,006,740,839,
776,413,002,098,118,699,815,816,684,002,110,005,818,817,932,920,448,522,713,
773,816,372,458,833,961,843,776,748,644,675,386,162,461,348,674,746,160,763,
586,710,139,771,674,161,818,224,844,734,386,434,688,357,754,610,231,823,194,
080,181,406,028,307,595,189,553,624,676,650,343,863,969,902,421,061,442,402,
356,231,241,364,045,018,797,392,509,149,435,214,994,466,105,514,659,484,769,
479,043,754,021,510,245,581,278,641,709,614,594,278,444,329,798,033,386,550,
152,679,068,750,223,783,342,704,436,573,952,953,020,346,845,689,582,675,625,
576,099,371,099,746,818,518,840,175,115,670,100,085,119,843,004,768,948,833,
453,813,893,786,848,117,148,854,711,611,219,559,896,334,442,280,993,909,512,
973,120,811,007,160,458,640,745,786,716,650,520,526,295,269,844,097,103,564,
502,798,089,686,761,108,200,516,747,673,983,242,002,667,887,195,274,476,057,
046,416,909,506,313,065,920,926,918,357,260,448,445,257,959,424,103,648,758,
887,505,470,129,478,131,299,587,347,414,766,664,934,898,788,906,047,996,795,
866,796,370,998,933,628,941,141,195,313,936,834,749,870,979,881,833,216,419,
487,091,724,024,287,307,772,417,636,414,638,330,490,779,839,571,490,390,467,
955,868,115,386,126,278,354,138,312,425,763,065,276,750,785,283,947,394,388,
831,308,023,758,512,585,721,842,162,653,645,715,483,968,158,479,829,052,977,
805,649,623,368,464,587,352,399,556,689,390,372,408,327,630,765,720,361,532,
263,815,249,052,186,027,378,283,245,747,796,359,781,924,468,488,859,441,182,
034,868,115,930,268,360,762,148,066,953,164,063,281,854,921,500,619,383,250,
022,185,790,019,768,033,913,705,489,759,682,872,090,175,863,361,360,782,244,
658,918,510,051,249,369,478,961,428,208,558,876,676,452,895,155,864,040,718,
698,424,377,951,818,137,360,691,275,511,265,518,146,865,134,773,417,655,342,
493,237,366,743,158,579,242,898,335,827,798,864,862,067,724,769,051,811,999,
273,870,640,609,378,956,916,600,837,348,101,551,780,673,799,927,872,202,933,
324,696,841,783,182,429,504,525,410,011,670,016,919,407,127,100,223,664,577,
778,953,489,931,362,460,064,721,491,338,798,410,690,085,656,256,964,195,454,
010,871,125,297,488,730,386,322,495,362,586,980,481,436,473,396,003,840,071,
501,812,097,020,422,487,667,445,209,384,283,138,933,264,006,927,987,631,571,
780,581,418,028,272,507,478,798,812,930,885,164,335,612,993,291,594,787,200,
099,524,753,592,958,118,565,519,895,654,554,110,305,643,351,835,114,024,196,
053,032,170,330,490,986,390,869,307,735,761,084,584,808,287,427,896,061,514,
328,391,978,451,780,969,666,994,595,483,563,963,697,522,861,452,100,218,248,
832,369,403,421,658,056,233,937,169,455,617,143,045,784,039,751,687,606,786,
471,465,392,534,250,769,677,340,845,994,887,475,815,000,523,018,658,653,858,
655,684,189,092,529,379,408,082,789,794,253,019,820,888,335,882,546,316,002,
173,268,828,263,281,716,536,126,507,002,002,563,490,774,072,386,447,636,474,
690,803,374,617,294,023,798,347,466,849,130,733,767,841,787,307,761,368,718,
282,393,800,192,244,481,847,291,926,218,961,081,361,225,562,785,945,177,672,
757,868,498,365,671,183,326,346,921,105,619,638,816,837,332,183,955,113,638,
769,591,625,464,319,478,054,465,025,002,926,071,292,970,392,885,300,018,996,
999,165,713,030,489,459,531,529,212,797,576,701,534,404,440,765,239,385,644,
827,271,555,786,350,791,122,697,362,816,770,436,503,887,549,340,282,343,790,
704,659,003,382,944,069,968,519,401,078,551,427,728,810,034,083,928,767,352,
237,972,892,289,358,167,929,317,038,442,092,276,321,942,262,126,461,384,152,
491,068,684,757,931,724,619,525,544,373,216,448,893,216,965,574,396,007,407,
260,104,138,525,400,696,522,478,325,470,431,358,449,038,145,497,953,028,403,
025,632,708,459,508,791,948,215,411,499,838,459,193,250,325,213,920,209,142,
301,827,285,012,915,916,145,969,123,583,440,543,935,628,492,301,416,962,673,
213,190,035,665,802,124,087,163,525,938,424,717,202,020,094,433,782,388,529,
178,858,991,552,187,127,256,228,695,963,057,231,977,066,153,623,961,163,227,
457,828,460,791,310,670,419,896,970,336,037,950,583,649,795,284,382,989,137,
724,905,248,637,266,628,384,060,208,948,298,708,164,369,626,533,223,903,127,
257,007,680,962,989,897,324,191,288,309,205,831,922,861,062,813,549,057,558,
964,648,054,865,926,421,162,633,951,535,168,184,653,899,659,482,389,715,723,
070,116,751,758,468,945,997,144,918,593,041,251,921,184,023,196,355,159,080,
717,346,267,619,816,179,696,731,325,882,391,758,111,111,847,176,389,559,415,
502,551,364,157,167,362,112,920,865,718,950,096,368,827,362,203,811,807,937,
048,103,872,469,330,578,101,763,182,111,376,226,449,579,143,816,727,985,615,
097,668,367,405,927,997,627,208,839,641,486,505,500,238,635,257,620,608,157,
961,766,855,556,839,908,775,583,813,500,447,508,768,597,059,524,242,123,135,
845,521,416,792,471,485,029,012,194,955,491,263,575,956,023,860,701,681,634,
921,296,271,052,556,810,997,183,331,203,324,192,277,377,310,908,102,175,859,
744,127,169,472,500,114,470,944,528,294,264,609,066,855,024,775,350,925,272,
849,014,684,890,213,358,401,654,863,376,228,256,703,684,027,912,796,784,604,
682,882,838,038,231,237,098,212,546,454,448,464,622,789,809,995,196,364,114,
143,425,287,968,874,094,876,596,620,877,657,953,058,651,764,995,811,690,794,
527,930,002,952,417,244,507,654,444,860,804,699,541,547,803,408,242,661,856,
760,041,530,936,561,619,930,500,061,153,387,090,965,144,078,253,073,264,757,
867,226,883,228,964,634,182,950,597,930,102,188,093,146,352,975,423,391,828,
988,983,245,648,152,816,121,128,896,948,412,129,047,804,557,796,947,162,770,
452,088,686,416,207,302,959,998,830,575,268,984,349,704,262,240,312,886,495,
894,670,951,902,233,654,977,729,525,356,134,499,439,363,497,615,729,446,192,
263,391,136,692,084,061,744,342,433,469,491,737,797,312,409,463,292,624,149,
323,099,646,467,167,965,078,945,888,138,756,599,106,620,690,062,376,086,029,
383,884,530,189,730,394,911,284,360,614,115,580,046,857,401,082,903,341,141,
143,673,849,182,066,483,460,118,137,242,931,373,864,825,471,301,181,789,333,
050,580,543,962,465,654,063,008,080,649,598,806,378,574,580,694,264,703,651,
821,169,938,372,227,629,484,020,018,670,276,258,316,348,592,909,962,579,752,
916,394,815,873,350,231,705,476,122,913,005,880,462,779,991,013,687,520,802,
499,572,458,697,072,273,394,783,382,522,636,817,312,871,540,318,882,843,146,
224,367,189,548,161,404,127,432,661,812,548,084,519,186,917,020,614,389,875,
172,534,090,349,474,099,407,845,904,986,903,857,559,009,102,354,657,273,465,
845,238,995,146,272,723,671,553,242,837,494,656,259,487,362,154,811,960,779,
663,294,506,227,022,459,713,778,237,716,749,888,870,571,421,658,289,079,044,
575,915,888,953,163,413,622,772,679,513,681,250,369,429,363,714,576,107,139,
233,557,759,482,388,459,286,486,973,864,036,640,400,190,754,731,036,461,152,
727,971,578,048,703,530,800,672,099,940,427,571,659,972,908,845,150,048,917,
930,604,845,306,948,260,690,129,809,126,505,091,340,631,649,422,692,486,403,
713,843,122,207,863,234,463,587,201,957,783,107,898,632,875,727,017,758,330,
919,063,059,021,280,952,980,182,294,391,657,412,563,667,427,163,833,784,324,
211,341,537,280,411,594,776,285,155,461,860,777,626,916,866,380,275,555,904,
387,253,184,567,886,021,361,273,692,875,836,980,498,908,941,891,772,792,843,
115,244,741,208,864,780,458,590,477,183,627,452,856,360,357,935,530,347,475,
526,520,960,064,734,679,104,417,766,039,515,328,221,644,908,314,965,678,796,
124,009,477,638,737,449,158,793,274,241,442,970,412,941,895,976,855,921,309,
624,072,761,689,844,414,255,611,977,262,478,966,888,122,821,598,336,123,496,
969,933,139,271,488,300,285,748,168,173,752,017,899,007,659,024,850,212,399,
010,532,044,030,740,914,405,798,367,892,304,050,672,386,271,458,973,588,692,
196,677,212,148,739,063,055,999,473,012,639,950,534,089,999,753,574,772,914,
388,542,089,508,085,454,661,589,283,409,818,736,475,191,231,565,739,778,337,
598,393,402,547,272,454,059,134,677,874,569,932,814,640,262,111,908,101,556,
424,330,660,302,995,819,785,346,607,346,586,450,635,872,276,337,225,732,228,
966,424,668,358,167,013,218,856,157,801,962,244,558,676,468,761,812,265,662,
633,174,564,552,970,751,593,117,039,189,264,897,082,553,051,630,073,776,793,
713,201,898,121,348,610,164,845,944,141,050,443,696,088,598,184,947,147,875,
145,485,302,537,198,679,027,858,627,326,046,424,158,818,814,957,968,333,014,
441,418,368,041,531,835,880,249,325,877,396,898,803,103,450,550,179,110,591,
811,082,981,331,765,201,859,870,697,290,950,907,487,352,157,109,739,843,230,
985,270,865,721,117,955,965,250,369,575,682,445,697,917,193,874,489,873,158,
189,419,478,434,712,659,545,464,721,510,950,492,925,191,308,248,873,095,130,
679,203,443,826,071,316,631,349,769,693,889,695,487,780,995,052,066,466,612,
363,265,559,051,037,499,042,356,685,652,632,736,940,303,287,398,621,036,159,
417,907,841,902,075,451,582,899,566,253,727,855,056,459,808,045,792,508,735,
971,169,574,024,003,797,690,085,641,822,928,822,356,983,789,801,479,646,422,
665,125,636,210,167,141,929,623,257,444,687,014,591,248,052,010,554,754,104,
233,573,353,190,314,305,310,963,494,589,608,151,158,384,199,598,461,693,079,
067,960,322,495,485,895,697,234,345,013,962,978,200,352,952,238,538,456,483,
232,831,627,930,194,400,304,187,550,139,140,300,790,071,775,515,042,758,733,
575,722,290,385,670,472,460,607,871,743,526,170,537,179,726,708,140,798,479,
366,497,402,650,195,159,348,082,536,411,193,039,277,939,168,948,769,681,820,
300,437,804,442,572,549,288,768,851,982,623,850,635,369,432,006,344,723,075,
673,940,958,141,817,587,802,694,433,500,340,945,822,928,349,115,923,570,680,
790,960,285,164,369,704,759,302,517,616,840,338,878,253,832,235,654,737,480,
214,065,763,377,530,429,411,619,183,116,712,015,402,786,074,723,301,221,218,
116,889,406,088,591,676,576,471,139,071,624,607,568,002,699,936,779,763,727,
330,082,388,607,313,843,448,393,343,118,332,437,386,751,403,278,084,828,049,
973,984,097,625,526,078,286,085,181,874,106,200,959,929,709,859,038,726,994,
078,972,112,790,849,713,010,798,373,053,971,720,515,059,078,410,140,070,483,
714,746,551,829,103,873,362,201,105,833,312,093,201,681,833,165,174,110,537,
536,029,343,075,171,844,735,928,917,848,677,700,857,595,378,691,212,877,688,
668,545,633,558,633,000,744,469,733,936,852,038,468,278,269,612,148,093,466,
524,631,690,042,924,864,535,815,955,918,559,778,438,827,556,233,490,903,033,
455,453,625,805,573,777,080,600,697,287,091,917,000,243,755,413,474,410,519,
399,270,899,700,842,781,575,839,558,843,218,055,531,243,648,842,907,791,987,
655,560,683,041,250,190,387,556,160,142,107,261,309,998,563,639,762,802,494,
424,920,561,761,926,203,461,807,767,869,432,061,095,266,336,484,551,722,249,
242,246,695,761,490,794,873,031,183,514,296,354,201,374,841,239,209,370,587,
983,458,924,199,684,582,970,173,711,794,421,923,942,272,534,313,622,341,145,
312,573,284,034,617,022,649,969,802,626,190,025,626,313,560,047,232,781,743,
450,381,227,386,980,057,146,410,261,589,989,118,022,233,274,998,258,575,683,
403,442,629,887,492,198,727,630,875,149,669,462,821,971,604,964,382,818,764,
083,057,896,327,394,836,225,133,045,459,626,439,385,078,964,245,135,062,427,
514,920,198,205,703,355,011,855,162,151,965,102,278,754,986,168,056,563,607,
357,543,411,152,151,819,204,472,967,400,172,977,345,992,363,046,831,216,944,
183,936,114,310,129,096,695,504,825,274,903,627,998,642,690,912,353,698,504,
662,182,139,499,288,841,166,821,034,582,037,751,854,770,291,495,895,042,879,
294,793,794,606,921,293,134,867,980,653,076,368,816,175,086,207,472,906,637,
052,341,671,207,889,428,265,144,706,437,433,068,594,290,430,095,404,998,435,
256,236,011,179,376,907,902,613,870,709,793,813,187,753,946,697,203,974,498,
088,311,251,956,978,945,224,942,662,609,126,089,650,328,703,533,375,778,078,
042,463,224,943,619,238,207,377,244,240,512,609,181,590,978,673,158,076,693,
277,672,450,594,363,213,858,418,031,292,864,398,173,058,675,007,859,601,554,
614,878,957,871,362,241,116,181,188,992,233,901,125,285,942,975,298,847,046,
670,024,261,174,134,526,011,939,126,853,141,572,508,154,043,276,218,789,739,
905,378,146,358,024,168,175,168,305,544,450,279,113,421,540,415,353,013,747,
795,367,255,166,169,419,594,134,387,187,925,101,003,872,021,541,837,671,070,
242,155,967,295,462,328,911,428,009,911,794,602,135,970,588,827,332,962,018,
914,972,588,398,471,381,985,023,355,687,265,732,376,766,644,119,669,284,043,
154,877,416,107,345,572,249,984,840,828,129,552,369,247,379,516,726,076,939,
500,704,681,884,858,213,028,194,968,279,363,710,443,213,783,864,110,657,620,
151,381,143,880,936,802,921,824,547,943,760,302,230,053,976,603,066,973,926,
321,655,788,603,689,973,206,206,135,862,678,182,269,570,671,775,416,024,287,
562,535,876,525,402,410,263,581,591,053,416,581,611,954,480,888,502,227,966,
155,322,381,959,595,068,453,608,307,376,690,938,821,649,794,664,296,675,988,
643,725,662,388,045,804,864,103,217,717,933,761,289,011,641,862,056,178,265,
582,189,586,017,831,998,611,294,012,669,938,896,127,494,654,391,515,653,970,
903,477,273,824,085,991,312,264,348,190,943,866,410,343,589,356,604,224,499,
917,180,973,608,721,326,664,376,549,728,153,134,387,558,698,705,507,430,125,
191,938,971,144,655,527,523,207,111,164,245,232,726,465,221,873,343,232,909,
121,406,070,844,031,141,967,808,213,087,646,888,071,520,927,998,257,016,482,
714,215,946,237,911,682,817,880,926,019,482,236,877,330,860,854,911,730,349,
285,859,670,437,462,419,710,104,153,297,046,851,194,349,215,163,333,677,838,
940,858,137,081,045,692,277,769,351,095,771,693,549,338,069,581,703,561,463,
724,636,251,362,132,539,033,022,652,570,540,228,563,348,438,344,418,544,393,
874,390,005,288,814,464,692,336,697,184,648,562,460,214,241,391,378,701,215,
406,157,170,815,659,938,675,532,103,387,593,894,919,611,883,583,410,370,924,
291,779,714,984,137,921,835,779,203,110,219,506,835,877,234,969,235,335,900,
708,089,617,399,500,777,016,862,823,021,469,650,783,336,698,581,019,522,296,
983,442,115,965,249,938,532,359,116,863,167,155,206,570,534,988,812,159,353,
465,957,511,138,128,540,182,501,515,551,608,079,842,239,138,962,611,494,827,
958,492,659,728,773,371,497,107,084,708,947,806,084,409,001,444,781,569,146,
745,070,904,151,323,035,786,316,336,026,340,327,893,675,988,430,544,577,422,
212,540,193,651,066,471,617,652,042,681,640,097,899,123,669,163,028,280,096,
735,682,920,044,746,104,920,772,762,906,612,482,029,938,137,096,593,587,021,
495,154,327,206,387,324,299,103,616,443,307,589,484,369,843,224,261,722,468,
761,166,434,407,984,116,849,533,407,773,720,324,820,074,483,003,222,087,307,
358,042,300,283,937,643,177,773,706,040,843,697,046,458,838,140,999,500,594,
128,484,745,245,837,848,710,176,313,079,696,404,768,966,501,284,351,450,160,
359,416,460,597,840,675,370,894,840,444,826,055,969,454,617,979,686,116,915,
154,243,882,014,248,256,694,890,354,666,491,519,337,618,502,217,831,276,882,
580,908,379,885,095,098,714,924,235,449,156,117,392,888,499,379,079,783,898,
557,311,038,164,453,927,889,036,629,027,685,157,836,319,006,356,728,614,640,
235,862,637,957,832,471,600,956,732,724,699,975,048,974,989,002,436,377,189,
885,598,592,023,736,742,859,304,854,167,024,187,237,177,490,873,172,114,025,
102,428,664,357,075,633,526,204,195,253,986,685,561,768,161,780,902,036,693,
996,158,607,203,607,124,708,874,910,341,853,730,379,792,091,715,317,428,654,
655,249,977,076,217,550,881,263,065,228,297,918,632,416,315,190,223,528,975,
089,019,313,592,470,749,505,365,089,140,589,368,331,890,427,592,218,539,648,
903,016,324,493,970,100,393,986,117,793,865,283,243,843,132,708,487,275,769,
271,651,934,375,479,446,286,068,163,066,384,299,011,705,177,431,854,923,272,
257,860,743,895,616,239,479,872,234,062,568,326,825,212,997,391,684,446,549,
307,986,938,504,211,682,350,026,868,644,760,317,131,484,123,418,424,559,400,
345,886,622,168,435,906,248,782,416,002,632,643,262,643,484,895,746,906,775,
462,662,925,623,398,974,476,312,403,822,975,471,880,816,027,097,508,915,144,
203,436,470,091,320,653,188,087,603,415,739,491,168,342,436,337,645,969,783,
437,423,804,097,503,027,389,550,554,839,927,350,337,112,319,368,834,387,226,
338,655,273,007,350,399,117,026,743,015,220,378,642,399,952,200,706,332,055,
447,237,274,328,552,968,502,619,919,052,474,370,747,847,835,250,386,478,046,
008,045,606,780,037,013,884,954,005,720,198,681,734,197,639,065,455,858,674,
489,294,724,678,005,325,776,061,042,568,936,242,842,036,651,359,244,634,272,
022,076,554,414,657,620,741,427,417,031,604,419,179,423,612,710,564,313,083,
392,525,000,122,509,899,870,092,110,132,846,292,461,752,648,488,586,056,247,
407,677,566,769,905,099,095,675,715,255,181,665,267,917,940,241,333,015,761,
553,271,686,416,657,520,949,284,640,079,688,170,459,673,904,685,176,090,552,
332,975,427,737,023,028,702,809,879,452,020,501,487,566,218,100,562,388,158,
421,836,093,702,266,519,874,556,876,619,752,052,889,032,761,030,799,423,336,
106,244,305,070,249,940,063,650,408,313,152,319,044,605,768,538,428,371,722,
218,819,895,816,449,076,951,417,545,787,012,313,439,892,984,369,734,019,235,
128,068,656,784,857,124,301,713,157,765,136,675,193,138,279,765,714,423,073,
432,520,188,500,619,603,239,364,450,487,446,759,720,836,538,667,475,186,128,
457,937,251,963,934,484,682,585,300,903,568,612,543,874,913,861,696,320,808,
750,205,183,136,652,370,906,688,770,716,165,981,284,087,770,934,335,866,181,
974,913,193,454,817,980,205,855,391,915,994,875,862,408,526,217,453,097,910,
238,963,682,404,910,832,212,350,616,361,822,091,743,368,565,694,999,923,616,
307,419,359,439,296,126,434,409,947,634,033,566,079,982,814,039,893,978,141,
803,195,262,672,767,827,942,182,502,345,370,358,774,287,683,841,535,442,339,
539,281,786,882,814,536,068,916,673,123,657,361,772,685,993,511,849,142,691,
424,187,828,826,427,300,893,154,811,865,934,503,868,840,592,334,580,943,836,
446,052,139,364,447,525,067,939,121,601,672,942,457,308,371,741,868,554,814,
624,200,969,602,581,817,019,927,624,474,232,050,219,783,807,225,313,628,094,
786,547,571,441,912,058,902,902,644,026,846,415,862,464,800,457,565,610,261,
979,126,884,468,312,427,230,437,596,468,809,894,764,070,050,124,111,890,071,
844,537,417,276,677,671,817,998,118,334,394,924,003,608,417,106,573,046,496,
749,614,676,115,478,656,165,119,471,633,208,389,577,705,185,952,033,674,680,
125,780,143,634,039,611,425,499,096,889,203,063,496,222,810,220,377,707,556,
238,991,899,536,910,593,503,402,704,208,837,445,150,025,280,840,050,029,891,
975,410,541,474,742,777,440,010,611,784,504,788,804,774,864,068,170,842,470,
145,949,179,441,303,912,046,513,561,678,299,551,398,144,162,254,983,823,685,
148,919,690,768,660,237,097,324,649,436,661,340,199,418,390,429,400,149,330,
801,167,559,890,126,771,879,287,667,818,615,587,468,885,532,953,677,548,439,
561,429,266,066,967,824,764,134,093,961,913,197,186,174,491,570,029,472,931,
543,028,064,779,720,158,063,549,541,026,237,523,804,682,228,058,748,466,791,
465,972,402,008,530,134,924,791,235,884,440,047,257,216,308,083,502,646,107,
438,888,358,201,788,990,351,108,623,659,157,705,334,342,649,589,387,477,178,
209,772,722,629,306,383,816,048,382,210,445,877,984,925,913,037,017,122,544,
256,544,039,852,747,384,975,599,218,662,651,689,185,771,838,719,880,046,380,
195,716,727,870,375,469,196,800,268,665,271,425,057,247,443,027,910,997,940,
198,242,375,452,540,479,429,107,738,503,216,045,919,574,107,806,341,320,908,
469,572,994,378,704,782,656,934,815,134,398,695,134,654,641,639,394,966,798,
155,270,987,020,257,184,446,325,195,131,968,170,606,501,319,174,376,430,519,
715,053,594,110,192,561,725,994,875,639,981,234,436,010,699,905,696,169,254,
094,487,497,331,850,810,651,422,475,357,539,553,620,040,460,331,495,377,192,
582,222,099,810,119,783,258,895,328,482,782,267,595,066,013,547,241,518,758,
248,953,115,651,512,724,988,634,324,436,823,447,519,347,809,339,582,167,420,
243,727,698,943,570,964,869,471,274,860,375,143,599,981,400,744,592,547,225,
074,605,066,802,647,923,938,540,087,860,970,741,771,836,511,888,682,753,741,
582,984,550,654,464,190,746,980,872,492,604,204,021,740,525,214,427,399,937,
810,055,230,164,316,936,389,015,240,752,710,137,963,607,397,308,100,514,721,
245,490,586,661,330,344,753,842,081,820,060,214,579,717,246,681,258,512,496,
332,534,462,759,264,476,724,652,781,688,175,666,901,300,170,551,956,707,069,
374,349,523,174,485,549,919,614,748,077,309,214,131,287,527,589,083,079,349,
597,386,554,451,394,265,872,346,964,734,958,061,139,316,603,903,086,048,844,
734,461,150,160,902,108,000,514,237,556,359,575,693,311,814,649,315,724,637,
141,882,333,281,709,228,733,175,425,539,317,328,457,513,797,814,548,887,372,
728,293,874,585,532,894,653,172,710,597,555,174,686,278,138,457,816,788,781,
472,029,077,004,006,710,167,469,238,818,379,256,441,077,556,402,089,903,477,
955,322,150,504,000,776,043,789,055,564,761,432,962,976,747,814,205,133,452,
079,064,461,912,784,367,265,428,409,507,504,805,761,161,797,567,690,505,956,
102,633,110,982,964,093,540,548,169,211,602,677,575,317,280,132,951,536,746,
665,803,646,956,397,894,502,779,897,053,848,750,276,006,491,140,138,098,657,
708,801,950,082,514,969,601,384,500,338,300,820,836,631,307,399,199,574,898,
339,711,377,073,356,541,191,474,339,349,408,071,818,911,810,755,370,334,775,
744,646,639,911,936,630,036,848,569,369,691,942,524,275,885,592,771,396,997,
300,038,229,249,180,404,111,770,707,839,953,560,638,326,139,686,204,918,751,
886,416,024,188,909,651,650,184,665,768,301,453,822,318,009,621,368,802,675,
905,510,419,184,899,520,246,096,340,365,396,704,311,130,682,255,759,127,493,
579,999,711,569,468,783,497,894,568,053,268,407,541,550,303,342,208,655,531,
268,253,292,969,372,466,418,258,732,652,909,981,891,958,980,872,666,200,978,
059,735,283,247,294,956,060,350,140,158,703,052,038,628,093,827,704,878,622,
105,001,374,022,043,299,706,309,958,101,105,778,206,219,240,599,930,785,493,
653,724,042,636,947,180,550,791,948,803,764,631,956,217,717,035,814,441,516,
967,358,481,190,170,555,208,913,916,218,947,309,614,711,403,413,183,175,159,
488,656,127,226,363,627,777,955,890,340,465,427,986,259,105,993,549,751,247,
946,798,958,086,336,351,106,729,321,207,266,047,712,764,924,362,398,617,318,
336,282,419,783,161,486,497,534,602,539,274,420,417,976,483,198,806,260,360,
056,461,740,683,394,086,539,110,431,855,130,867,921,347,812,797,026,178,470,
601,641,951,246,008,569,546,880,798,413,660,258,459,353,115,245,821,179,859,
315,528,633,009,811,530,766,736,681,104,267,144,665,978,702,643,813,642,211,
904,075,386,830,691,180,958,652,542,675,729,964,868,687,380,801,462,136,313,
676,016,990,678,691,268,091,538,029,328,757,285,695,501,472,287,492,496,630,
421,361,768,980,549,921,294,042,427,180,139,146,385,155,990,258,261,028,508,
211,457,865,006,544,097,243,750,450,199,677,181,442,870,156,286,455,699,560,
229,728,405,395,865,376,915,045,150,253,707,540,634,343,391,656,353,949,263,
721,097,908,760,866,319,938,759,696,625,845,156,452,228,689,822,765,830,580,
656,474,031,169,657,429,166,171,639,784,764,612,930,338,840,631,611,708,699,
644,689,957,837,628,632,740,575,569,204,897,747,836,952,120,167,260,342,721,
172,580,381,518,204,543,772,892,617,885,954,071,721,675,002,647,401,128,029,
662,047,262,035,417,099,801,571,447,275,309,416,322,077,738,253,472,704,966,
944,036,569,078,189,765,279,312,586,095,586,837,002,320,384,995,783,911,923,
474,269,189,763,398,631,203,448,860,668,922,978,679,109,154,152,263,324,252,
467,997,879,022,631,650,827,692,765,819,992,454,529,090,437,210,604,085,986,
247,071,359,469,921,430,283,461,609,157,153,697,812,704,554,637,440,379,745,
525,516,383,802,956,045,561,794,587,128,394,447,590,629,435,471,373,666,776,
813,613,690,094,114,055,180,663,452,534,293,492,976,219,512,481,580,912,985,
604,114,691,469,002,634,061,196,369,018,337,641,982,938,425,087,211,431,052,
152,501,617,700,691,033,456,269,374,631,373,397,772,845,232,686,353,647,231,
306,145,501,738,432,529,509,371,680,498,598,504,867,028,078,480,748,260,376,
894,350,945,603,253,357,245,180,319,610,459,969,047,996,464,263,837,005,082,
881,941,277,940,895,487,662,575,369,658,181,538,689,029,149,696,360,903,514,
158,561,441,508,032,178,325,635,507,938,017,232,002,755,434,013,667,954,438,
460,791,744,865,691,320,928,654,088,168,694,086,163,545,806,374,989,708,923,
168,741,859,500,623,554,111,920,405,371,395,526,239,254,683,604,482,070,590,
569,977,642,345,176,712,938,142,452,631,319,904,571,549,380,796,581,765,464,
415,794,557,249,601,284,526,845,779,364,500,873,425,394,245,031,436,804,346,
486,269,052,016,508,667,970,584,203,261,178,088,801,986,748,615,539,175,917,
522,583,763,335,519,239,054,480,207,412,650,193,835,283,036,199,885,668,987,
641,252,717,379,867,664,156,795,551,947,503,806,808,464,162,406,933,905,477,
568,592,699,588,272,367,570,559,283,755,376,365,653,238,789,133,279,845,895,
043,895,816,747,558,666,168,921,742,779,347,878,294,026,416,705,881,943,731,
137,012,091,055,042,672,467,744,438,571,772,106,370,176,526,689,108,517,238,
256,403,584,309,671,310,740,650,301,745,113,337,554,565,579,536,722,185,164,
164,322,515,335,461,907,641,025,648,095,605,392,545,162,881,917,708,744,969,
347,156,365,472,711,550,127,564,385,457,816,831,879,151,362,106,964,670,905,
068,596,724,681,405,705,503,051,460,905,511,396,967,709,290,589,124,953,497,
817,453,391,223,314,035,811,045,540,967,543,419,826,950,388,147,064,073,966,
277,376,191,316,856,647,896,140,000,917,379,832,519,332,474,740,329,729,333,
494,776,319,204,229,879,675,629,443,950,244,281,484,731,910,548,652,108,917,
182,108,177,297,832,159,854,519,545,137,759,435,241,040,612,235,291,963,250,
807,101,981,243,494,337,790,120,794,205,442,704,600,292,842,854,813,429,194,
550,357,808,315,295,070,464,254,332,940,870,539,408,403,126,784,050,552,132,
111,916,369,960,026,948,170,820,271,325,935,862,300,494,377,963,701,719,236,
291,045,595,172,401,677,216,190,626,910,752,866,660,431,598,601,340,377,978,
999,429,859,314,567,482,939,402,172,555,617,189,711,386,696,888,722,710,163,
702,567,359,727,565,908,246,879,362,690,760,210,866,824,905,501,095,046,313,
425,141,323,937,179,754,583,881,873,548,157,265,850,769,819,336,719,588,580,
962,044,059,056,596,887,922,418,484,474,310,206,707,750,477,691,815,391,841,
746,638,223,135,975,039,183,593,294,363,186,200,901,374,957,602,960,580,715,
933,039,775,541,394,149,707,624,551,622,619,843,997,823,396,998,609,152,819,
497,677,283,914,052,010,479,706,618,933,206,493,179,252,222,048,410,829,464,
613,913,301,623,435,101,389,538,604,284,020,931,864,265,422,308,798,775,939,
882,733,797,633,028,011,719,740,379,366,153,200,988,553,054,901,346,384,154,
409,533,302,889,332,098,850,471,816,722,367,643,323,273,981,542,866,929,419,
960,715,809,510,600,629,326,594,019,833,374,166,099,900,639,073,927,884,756,
340,412,974,982,331,680,106,834,304,906,127,455,948,348,642,496,638,387,916,
594,799,007,255,808,270,456,613,714,759,765,609,798,559,578,357,622,555,524,
760,984,362,750,953,567,040,224,041,707,030,811,187,276,339,759,967,463,073,
897,862,967,243,773,604,606,649,916,010,219,789,262,296,188,991,851,669,736,
696,737,097,754,676,372,763,982,376,029,255,659,338,854,477,214,187,507,106,
442,900,683,049,217,010,100,054,806,870,934,124,637,484,662,010,847,516,530,
248,169,632,783,851,934,632,121,817,807,152,209,169,305,458,305,905,007,450,
838,676,937,329,239,626,400,712,801,256,689,111,475,273,132,429,838,956,512,
690,326,431,329,690,143,759,603,024,753,626,294,449,764,958,576,041,977,544,
355,946,750,934,097,916,780,032,527,604,770,357,659,389,128,698,844,899,759,
139,851,053,437,191,662,950,018,330,434,210,718,985,701,871,775,721,166,102,
392,685,250,574,344,983,941,149,985,732,696,055,983,293,867,480,441,657,464,
348,767,487,967,644,142,147,045,172,473,297,125,452,937,144,395,841,921,879,
058,785,077,483,174,934,321,655,698,126,805,535,704,051,334,537,042,435,410,
560,239,895,630,368,598,090,525,014,313,754,536,579,701,874,668,683,966,477,
385,012,509,915,599,821,914,224,071,158,506,623,859,151,508,314,968,513,188,
267,684,971,816,294,816,379,402,422,861,275,291,064,775,297,598,164,570,826,
733,753,744,374,632,621,372,882,740,141,146,704,023,681,677,487,919,263,240,
016,358,489,174,285,881,409,125,473,401,801,403,739,384,587,417,344,084,584,
399,012,704,719,391,042,381,061,303,878,351,352,139,446,587,197,027,177,622,
930,864,451,498,783,908,241,014,788,425,896,433,733,447,040,163,700,781,037,
837,225,170,688,169,514,634,651,418,510,652,522,167,359,006,123,310,914,915,
910,590,892,551,500,678,432,640,462,079,390,822,596,351,568,809,845,142,936,
065,059,179,148,238,686,514,726,232,299,347,098,427,188,914,565,295,112,335,
641,895,040,623,266,744,899,425,351,821,237,152,185,533,488,722,685,259,232,
942,780,282,467,649,624,496,132,644,334,949,512,523,812,191,085,935,071,106,
333,312,741,942,024,761,778,975,328,141,392,173,042,707,263,600,865,502,018,
013,799,985,417,577,379,471,018,479,086,374,373,716,673,433,655,676,434,930,
137,166,491,146,876,363,391,184,954,256,153,988,744,871,080,791,889,517,093,
619,526,142,517,272,075,820,470,441,864,668,444,310,404,064,807,782,590,606,
878,360,218,677,036,164,820,092,680,377,080,422,320,590,128,305,155,383,946,
208,934,080,184,931,628,813,797,376,784,431,502,873,757,051,035,320,693,386,
537,610,356,302,574,253,719,877,944,055,160,002,434,312,661,509,726,820,439,
139,509,199,418,866,084,294,798,891,193,437,282,965,143,172,833,411,800,480,
831,912,108,075,653,508,604,533,217,888,407,497,444,516,258,927,169,970,807,
476,713,482,915,229,346,452,512,071,738,560,524,007,705,484,763,851,119,805,
715,426,937,465,446,623,093,169,891,405,646,230,811,389,868,236,148,214,347,
263,660,136,884,458,766,659,272,622,160,900,277,945,566,430,645,537,873,116,
997,689,946,834,312,709,892,364,854,442,580,967,380,419,740,294,265,438,798,
816,389,292,323,471,835,587,017,492,778,666,948,914,409,695,680,611,967,244,
940,231,623,898,864,300,929,135,385,743,454,730,023,728,681,119,095,309,324,
653,302,080,504,686,784,530,709,087,377,952,213,712,805,182,140,879,285,371,
941,792,269,440,188,918,041,240,352,548,863,636,296,646,937,215,540,870,077,
528,077,886,349,962,790,688,120,565,534,318,600,498,702,307,290,649,624,043,
478,507,047,363,260,326,960,607,201,492,027,024,434,320,787,763,792,122,872,
366,330,247,402,365,839,501,925,853,210,729,158,126,740,372,652,520,695,456,
363,545,287,329,462,107,529,711,936,180,266,628,877,868,396,233,564,200,048,
093,304,078,664,029,219,956,811,112,844,020,905,226,283,031,032,761,994,715,
531,004,972,331,475,362,668,942,083,782,532,922,390,901,571,465,100,644,589,
778,293,412,698,151,147,977,971,900,458,008,201,019,770,862,011,320,962,769,
932,164,181,422,508,284,758,361,327,867,845,447,524,663,557,721,050,399,286,
532,973,634,334,269,549,476,550,948,638,530,039,165,370,967,836,041,752,638,
770,261,688,385,764,360,858,978,516,010,524,235,250,057,643,204,986,525,340,
668,029,071,438,319,779,128,433,010,174,617,364,184,294,217,083,818,408,962,
237,344,936,965,384,692,138,704,436,100,962,282,618,912,270,556,801,411,239,
829,410,207,124,359,929,878,625,967,638,233,042,779,860,997,164,394,882,482,
849,169,673,418,284,144,854,868,033,797,496,838,932,048,473,466,438,366,909,
423,528,857,741,388,209,810,584,442,419,683,773,033,545,257,628,855,245,113,
214,782,632,982,661,071,719,311,517,307,420,244,806,073,113,638,276,612,466,
685,817,417,459,402,904,504,627,075,476,672,029,349,323,079,886,633,969,818,
689,853,589,691,616,133,024,079,720,468,607,581,195,535,461,799,114,108,075,
061,030,668,525,295,888,418,352,849,132,393,085,941,235,742,103,017,091,576,
409,261,899,873,073,929,759,511,862,815,848,992,243,063,754,681,624,319,703,
232,766,404,605,530,539,374,171,232,861,599,436,904,574,405,703,150,699,265,
513,001,337,134,208,416,413,507,269,479,712,792,523,767,940,621,755,649,513,
831,856,531,343,046,781,360,006,537,686,077,992,139,926,709,730,500,383,573,
196,746,187,475,707,670,925,872,375,347,506,965,826,579,107,031,084,512,604,
523,295,216,212,651,046,257,615,777,648,161,544,746,671,994,209,948,275,342,
074,505,631,277,421,030,606,264,067,201,577,157,637,596,185,692,142,178,458,
844,271,468,399,162,469,126,324,115,696,795,220,506,913,674,452,161,479,888,
831,548,557,750,518,790,357,698,970,966,191,128,007,150,513,371,850,954,774,
503,770,900,266,500,543,576,925,620,844,797,849,941,630,982,003,158,695,888,
656,480,252,053,593,169,182,365,054,902,896,534,567,001,961,804,723,575,448,
069,891,565,059,815,853,342,259,716,847,928,437,675,976,636,834,132,748,977,
555,692,939,245,214,171,433,560,437,872,950,503,463,270,696,491,899,928,895,
727,411,870,019,447,212,825,948,200,214,629,055,101,431,366,810,730,199,195,
562,266,422,450,815,848,702,602,840,585,374,265,997,088,575,983,795,003,723,
033,727,409,559,436,556,273,474,608,520,383,190,860,422,867,237,511,588,273,
221,638,507,814,561,630,673,612,641,311,117,416,644,809,602,247,987,673,930,
848,758,371,250,767,446,532,506,772,903,595,756,060,479,008,077,418,107,155,
141,761,109,706,788,275,796,745,121,953,533,931,317,233,689,066,570,461,536,
540,806,531,616,944,330,344,342,026,340,428,466,050,533,940,721,052,347,921,
805,280,479,077,948,332,844,763,832,949,194,113,057,498,224,908,995,899,754,
323,428,750,334,959,034,507,916,098,714,320,007,979,794,733,544,706,966,175,
015,945,664,852,290,405,158,141,489,571,004,732,651,793,974,565,862,404,212,
460,233,236,421,237,497,653,624,929,945,364,014,118,157,212,483,267,758,746,
866,589,888,844,002,836,531,857,933,739,374,083,118,548,803,368,369,496,017,
206,520,441,666,808,010,259,503,924,912,869,957,589,439,736,065,289,761,695,
259,518,212,802,669,632,492,360,099,538,220,433,015,506,126,858,721,317,347,
607,423,544,402,834,491,904,680,665,364,785,382,498,433,040,123,900,032,048,
196,949,708,003,238,498,246,994,357,812,800,616,161,400,462,009,847,613,987,
394,819,915,290,313,498,944,477,712,449,190,264,521,215,570,027,274,407,478,
526,663,498,818,582,849,742,576,802,304,439,787,769,850,841,530,553,768,357,
136,943,896,938,719,594,681,325,854,902,669,931,879,579,154,773,041,061,703,
350,655,446,813,129,540,239,530,277,392,342,612,578,881,179,372,898,187,310,
801,893,475,515,624,895,285,317,046,703,769,368,824,466,066,559,233,540,565,
393,153,831,784,246,765,756,147,842,578,632,053,075,619,689,387,047,033,247,
959,947,158,510,540,378,666,754,578,367,045,393,077,830,303,868,049,888,010,
977,418,024,429,169,371,314,685,391,485,748,466,699,872,810,332,530,272,296,
989,173,651,292,997,046,312,894,761,114,922,153,406,444,184,180,184,229,734,
477,766,371,027,092,264,383,581,455,559,568,214,028,275,733,340,459,532,006,
735,294,407,241,718,227,130,385,455,697,707,294,002,015,934,840,236,300,203,
692,964,045,574,388,607,810,279,885,771,805,329,385,764,391,820,900,550,947,
705,946,235,078,406,764,996,051,802,174,647,966,794,452,995,171,071,730,209,
988,732,538,570,605,624,372,975,872,737,561,187,268,242,665,930,494,151,233,
917,774,455,871,715,681,314,799,891,496,688,288,706,591,289,031,879,993,500,
216,512,109,161,000,024,181,609,297,547,657,596,599,660,681,610,720,465,094,
314,296,196,899,159,027,622,656,925,883,594,986,275,128,296,001,755,704,996,
978,840,831,951,106,494,992,589,174,359,202,061,355,364,093,126,538,204,337,
762,270,259,734,255,724,520,730,485,287,545,688,137,022,110,675,552,889,060,
502,666,886,540,334,033,989,585,633,889,345,638,250,975,806,497,837,955,484,
975,299,347,302,755,476,904,292,425,407,503,100,993,863,232,009,741,082,932,
553,450,106,947,936,527,470,693,069,653,006,413,758,235,518,702,825,637,019,
361,736,905,728,376,183,144,732,292,525,327,194,274,947,685,859,544,700,588,
287,105,001,956,891,002,975,342,199,315,423,344,455,466,106,013,354,996,391,
257,127,025,091,470,405,537,370,053,756,331,777,647,826,440,534,178,398,241,
002,290,714,704,518,060,972,836,088,187,256,691,256,216,580,604,030,723,022,
759,487,519,119,177,275,729,892,174,774,131,973,106,163,487,583,196,199,284,
695,020,871,330,521,491,728,931,569,853,548,669,449,780,179,286,427,590,601,
399,078,500,032,472,176,167,581,546,564,383,417,910,919,113,071,338,955,005,
792,351,183,596,795,778,338,205,996,735,862,425,103,978,473,933,218,902,164,
863,426,077,767,396,118,390,459,475,486,084,310,330,290,581,035,335,315,364,
792,637,679,792,702,746,554,686,660,642,589,972,718,674,877,052,167,844,763,
073,885,921,515,664,652,613,544,719,659,280,186,822,437,671,369,122,454,073,
537,177,822,692,694,218,484,560,222,069,317,614,918,060,860,321,528,670,849,
607,817,208,652,753,622,568,949,276,254,072,584,163,894,317,734,622,863,528,
433,994,189,631,863,911,411,955,475,364,839,653,700,141,007,824,554,074,912,
753,645,271,445,236,462,941,211,693,962,445,849,629,918,641,857,087,436,682,
314,903,312,823,237,496,043,459,353,200,226,415,564,203,222,361,626,840,788,
597,264,166,950,355,916,210,658,901,414,490,849,887,748,310,309,689,969,482,
496,922,505,575,076,174,043,113,399,318,568,554,131,015,201,296,529,267,790,
752,679,252,591,665,092,513,550,408,099,298,194,627,220,369,490,819,083,626,
707,984,636,835,729,956,978,125,286,641,196,289,884,477,760,427,182,183,160,
570,148,095,943,163,453,922,185,075,693,535,325,951,639,801,239,995,282,884,
844,837,452,346,195,712,715,546,139,733,768,270,220,917,866,915,251,922,400,
829,004,302,008,532,268,062,718,225,682,833,535,803,877,219,024,374,635,319,
065,244,520,051,801,703,741,368,097,474,887,241,963,591,778,622,470,427,561,
457,042,550,859,513,793,591,270,864,282,804,770,324,488,806,619,066,717,601,
723,267,894,821,499,817,423,931,028,562,188,252,145,512,926,593,210,401,859,
413,356,622,362,815,867,383,489,205,440,255,012,178,221,288,249,525,740,311,
294,121,978,177,962,644,044,268,069,744,300,858,201,175,158,039,911,276,820,
663,521,081,745,692,094,287,549,616,861,957,029,952,506,038,021,187,845,530,
457,147,471,256,042,978,299,968,115,668,827,969,546,853,258,047,473,850,656,
694,090,606,374,013,022,050,456,949,254,297,244,546,420,807,254,597,793,337,
054,741,833,327,381,858,786,136,914,877,202,588,933,791,491,586,932,875,529,
028,846,521,317,063,636,879,560,362,649,168,174,984,259,153,810,910,409,313,
374,004,365,036,039,859,500,232,352,445,421,390,501,567,960,438,498,834,532,
563,967,616,626,948,583,167,862,981,665,100,263,883,885,373,048,760,240,565,
721,212,846,436,281,335,918,466,004,019,515,783,035,410,803,572,179,455,845,
149,911,569,567,813,859,747,206,769,031,817,741,580,877,612,828,498,448,575,
735,319,761,915,530,895,809,942,102,652,868,807,286,085,949,643,841,568,308,
897,629,724,797,062,844,632,713,995,390,074,667,348,440,220,705,645,111,284,
961,598,356,506,467,080,819,187,834,348,705,147,627,280,159,291,593,945,067,
538,483,631,244,241,174,474,340,096,253,849,967,454,865,737,642,731,768,224,
707,079,276,562,917,109,320,047,969,289,212,965,090,213,151,443,941,665,190,
138,202,818,911,263,564,303,677,467,940,432,024,473,769,552,125,018,489,142,
429,655,593,688,949,358,109,143,380,439,344,306,297,890,209,339,259,550,073,
426,233,240,547,507,343,093,433,545,428,098,139,699,592,042,975,630,629,523,
121,599,228,747,017,121,397,261,331,233,808,338,638,466,459,534,789,703,210,
204,900,486,375,285,212,709,406,670,320,584,919,186,301,808,534,158,794,043,
836,559,676,666,085,016,444,996,705,004,054,107,459,974,945,644,720,452,666,
381,755,744,245,758,224,983,806,205,646,023,759,201,129,503,230,453,944,807,
101,651,047,382,821,239,758,622,128,308,786,850,392,087,030,921,667,907,577,
332,874,996,460,000,343,119,708,241,167,668,453,766,299,870,715,273,886,851,
072,747,409,323,347,583,980,924,628,566,831,028,791,437,258,387,281,753,374,
807,182,303,295,543,881,058,147,964,063,022,491,658,062,894,329,530,980,998,
513,611,613,286,384,289,225,437,529,599,145,447,152,825,575,102,643,070,820,
341,850,723,166,119,887,186,988,007,074,754,496,894,700,708,017,257,717,108,
674,584,441,889,451,974,668,345,757,699,582,249,194,508,719,183,710,343,665,
496,799,148,586,095,731,021,634,330,118,308,623,157,924,201,587,842,731,451,
602,801,598,850,749,222,811,022,842,544,874,365,139,842,839,980,728,224,370,
262,428,207,866,996,840,080,212,797,968,641,815,461,850,345,102,364,636,203,
923,782,732,321,358,350,722,981,561,870,730,931,870,891,930,689,045,653,629,
636,601,965,171,674,701,707,956,688,455,250,463,048,188,379,047,413,001,457,
809,819,877,398,905,993,319,984,971,745,748,383,715,962,584,599,171,039,562,
689,122,877,112,034,968,325,120,597,757,223,998,953,533,547,092,305,459,044,
889,362,231,755,973,413,479,671,326,857,094,366,815,838,821,625,363,821,245,
061,557,066,136,472,250,565,259,213,030,363,974,272,362,820,034,537,942,791,
467,899,082,635,192,288,894,247,986,226,911,069,020,677,405,813,662,319,175,
680,597,753,534,312,815,366,640,653,240,239,603,128,112,625,034,920,761,987,
834,572,159,399,035,132,334,616,416,504,664,676,255,260,154,786,169,451,631,
297,470,142,665,711,555,181,010,233,784,597,761,384,684,122,332,992,038,036,
032,511,906,958,960,184,432,424,484,174,137,566,315,085,367,506,053,332,629,
335,284,041,027,977,030,123,323,944,052,449,328,861,462,838,071,889,443,840,
490,187,630,405,003,815,762,185,017,568,099,911,233,757,716,423,275,000,280,
983,066,452,382,504,160,399,247,552,141,540,207,081,663,339,968,407,266,489,
989,486,263,441,780,590,393,809,759,349,719,681,521,088,227,502,306,651,574,
274,441,279,592,607,788,017,384,348,849,810,781,954,805,264,570,600,689,542,
751,990,788,836,414,625,184,616,206,599,916,595,771,377,701,128,371,743,296,
129,072,857,725,559,732,871,625,098,609,811,709,282,368,222,771,241,003,392,
363,862,956,282,644,479,369,391,825,205,349,889,131,056,266,517,699,953,151,
333,364,883,584,231,188,686,149,003,139,650,411,218,074,705,212,681,635,824,
358,682,556,446,141,931,278,105,222,596,833,411,672,149,228,560,174,148,553,
581,917,244,853,066,897,829,040,886,004,583,878,300,302,233,545,243,781,198,
127,375,622,054,666,312,441,328,508,483,321,878,317,818,649,140,396,390,754,
109,649,752,035,942,377,217,719,811,384,185,279,632,731,572,323,826,170,168,
594,073,740,407,898,053,499,540,409,968,823,901,754,987,038,879,417,186,157,
876,529,512,338,460,633,671,857,834,115,592,543,037,095,172,793,988,275,138,
485,684,186,659,058,029,569,012,267,774,092,247,061,920,444,855,703,098,373,
686,552,963,236,649,671,321,244,952,103,296,051,219,529,375,758,305,379,993,
795,284,153,521,105,768,846,992,762,025,783,179,233,135,640,080,818,642,583,
316,295,738,070,226,481,677,252,940,204,312,447,658,072,870,214,264,388,840,
689,809,256,459,038,587,925,914,140,066,043,140,775,742,906,400,254,773,711,
089,480,823,281,976,387,591,653,148,635,264,157,970,559,617,993,180,193,908,
005,764,562,567,894,957,786,416,421,617,921,090,406,901,496,544,884,706,581,
572,291,336,677,468,526,097,228,582,231,288,702,377,617,498,208,092,541,920,
678,353,349,182,851,856,470,297,765,782,157,052,714,362,084,501,545,808,037,
115,775,837,707,749,400,720,007,703,945,532,606,922,355,817,274,349,586,300,
326,906,025,531,378,438,505,175,891,982,783,470,451,740,094,206,720,436,430,
517,718,628,380,620,669,359,317,235,442,246,516,307,679,100,362,354,663,110,
722,646,968,345,068,277,309,746,144,183,185,307,804,265,508,861,069,284,863,
688,827,116,203,219,463,609,932,239,655,375,126,550,346,705,552,825,036,737,
580,187,007,344,955,620,335,298,681,587,853,198,715,106,715,207,606,824,172,
037,019,004,799,606,101,296,124,699,812,931,652,840,565,402,608,820,905,020,
529,659,217,967,220,062,154,820,676,567,910,730,491,602,824,415,494,827,300,
911,930,846,162,577,162,584,539,274,372,212,572,037,443,243,611,998,209,007,
502,299,992,854,938,561,924,732,428,144,433,716,657,052,492,504,594,797,922,
010,660,104,016,503,703,282,328,297,849,599,005,716,538,400,280,244,062,684,
324,803,018,302,204,720,695,469,170,217,909,366,071,968,998,841,755,711,971,
268,348,169,166,018,501,347,869,800,593,724,795,576,330,092,734,838,345,157,
898,269,374,801,255,036,636,115,429,917,225,618,887,862,133,678,581,071,273,
130,892,560,403,022,809,693,944,044,908,484,132,215,013,881,713,205,127,711,
193,249,396,176,165,485,215,207,592,608,357,142,068,061,123,308,461,613,428,
846,629,076,834,652,393,545,140,266,956,290,181,784,361,917,574,499,847,105,
362,051,900,916,345,693,439,282,195,643,323,988,187,028,873,905,666,808,521,
620,122,100,423,966,516,807,388,013,162,452,699,055,290,228,581,017,863,908,
963,362,440,348,410,385,038,439,335,164,528,919,363,622,032,516,215,041,248,
778,095,909,178,785,320,567,365,343,273,665,197,757,905,940,971,838,991,911,
838,388,358,970,793,073,614,379,908,117,789,326,593,946,835,400,955,409,658,
168,517,553,106,471,088,433,330,512,871,213,316,315,278,285,747,128,817,331,
287,882,127,223,212,498,718,756,163,657,974,886,391,748,735,916,357,684,714,
103,757,471,739,356,025,889,268,272,579,858,574,429,428,716,340,849,656,447,
206,083,413,762,518,179,633,005,412,077,607,823,840,273,984,100,792,324,450,
749,812,876,479,735,397,128,810,943,270,241,650,251,402,762,234,919,484,017,
165,795,824,048,653,496,963,192,020,416,211,130,799,873,501,760,323,426,393,
898,596,870,969,418,164,620,116,219,145,517,228,262,712,318,913,290,842,745,
713,505,147,429,349,308,507,120,471,844,071,509,311,182,210,868,299,252,317,
155,266,513,383,795,251,242,064,051,428,049,083,312,454,854,039,436,856,183,
381,605,039,857,335,738,210,367,027,040,802,352,166,582,726,541,172,321,849,
320,949,958,084,953,016,771,657,146,935,544,028,199,558,915,676,999,115,446,
346,716,134,914,411,912,499,668,501,836,915,938,439,407,877,611,700,053,202,
424,833,328,322,181,326,103,530,946,944,601,814,973,644,506,253,168,769,696,
520,206,214,259,356,867,355,817,258,344,240,355,324,240,792,485,161,376,302,
621,856,325,261,604,430,134,503,048,738,906,719,540,664,590,884,490,957,239,
980,957,429,789,810,124,631,992,889,147,114,369,518,488,272,201,790,250,637,
312,948,525,618,784,657,481,819,206,682,339,194,959,782,794,033,131,657,901,
688,359,336,483,033,342,865,362,221,291,227,587,552,564,784,032,782,336,593,
517,141,667,014,389,397,294,287,899,583,275,293,407,395,390,690,534,933,414,
543,840,407,900,993,167,809,836,565,980,454,815,547,154,295,990,914,525,872,
524,464,938,174,737,615,050,864,689,185,292,171,067,690,507,893,056,681,573,
884,025,035,534,741,647,005,996,815,151,341,864,297,412,676,593,804,636,625,
346,502,000,332,133,452,436,990,536,951,827,533,650,295,335,050,834,639,800,
619,274,587,413,744,668,497,436,529,429,037,248,416,681,776,239,859,051,035,
435,808,971,107,449,078,114,943,737,068,269,247,470,525,206,188,441,804,020,
514,569,732,072,530,318,294,751,332,912,030,937,602,498,374,779,217,883,832,
373,192,539,196,603,558,674,417,129,665,252,395,290,220,449,501,083,994,817,
432,723,452,780,691,000,406,801,055,168,911,588,628,567,164,488,348,514,701,
909,351,220,694,083,567,539,428,512,636,586,106,497,636,457,276,588,642,776,
706,578,159,544,717,765,377,555,330,299,810,203,829,223,079,834,554,839,447,
187,567,233,445,002,428,151,569,766,683,300,819,976,460,212,244,444,328,269,
933,144,511,428,745,716,414,311,978,274,038,422,253,913,279,173,143,643,943,
889,832,226,365,025,984,735,456,719,738,122,109,762,913,406,257,683,231,023,
382,729,078,657,420,981,559,245,053,970,086,846,789,918,452,397,499,677,552,
189,632,687,269,736,440,110,722,182,052,599,676,511,142,888,054,530,899,004,
978,873,009,205,017,150,207,291,882,908,670,082,130,074,124,196,764,775,858,
005,727,890,469,084,502,378,400,373,813,862,657,276,640,714,701,157,165,123,
651,238,997,110,371,931,791,604,512,135,284,504,638,342,872,103,909,516,004,
268,527,766,905,032,864,951,414,690,472,469,450,478,509,139,219,119,125,540,
959,249,651,139,207,907,542,268,178,553,646,468,949,553,272,535,259,685,988,
622,596,855,248,493,601,392,933,353,090,917,257,867,648,457,396,428,920,493,
028,675,700,993,480,769,082,389,871,858,390,870,637,559,998,864,821,479,503,
928,880,778,763,009,862,908,640,583,544,995,746,246,964,332,560,729,499,672,
653,463,869,131,248,058,436,290,682,676,238,094,051,418,942,802,568,289,059,
990,354,731,954,433,513,920,099,767,868,746,366,731,617,632,610,687,942,680,
905,021,416,406,119,054,704,647,274,607,241,991,611,255,383,406,867,289,039,
407,087,622,549,627,914,200,960,047,972,954,901,169,270,621,612,091,454,809,
253,615,569,575,958,218,546,053,202,721,572,217,305,728,612,886,103,833,032,
456,989,758,358,021,978,765,591,481,520,650,456,643,961,501,123,546,667,340,
752,214,650,896,952,800,263,265,356,128,514,776,167,346,061,535,882,466,384,
256,964,071,945,569,641,264,192,429,847,691,532,049,942,898,415,277,171,730,
160,774,182,653,449,049,425,996,673,530,162,703,208,424,628,911,756,553,072,
678,849,553,087,071,503,645,320,399,075,059,091,017,737,702,239,509,790,551,
184,888,409,051,980,166,285,738,714,597,206,732,913,022,533,085,946,689,145,
674,583,032,829,613,393,508,639,355,926,261,815,033,712,696,407,598,022,022,
022,805,409,440,714,936,426,130,745,656,312,853,733,118,875,356,737,564,893,
528,750,709,058,294,294,721,081,004,629,609,545,107,873,283,205,818,150,781,
258,529,361,728,146,790,078,448,065,586,651,927,250,221,885,679,157,294,453,
692,736,089,365,585,151,506,076,729,719,105,954,418,334,365,924,764,348,154,
463,784,308,842,453,412,992,119,271,148,395,990,143,038,602,713,205,298,689,
623,879,972,310,298,514,429,386,453,848,991,742,510,289,760,859,270,975,989,
807,425,388,212,953,204,599,643,802,146,381,411,331,855,279,560,606,286,149,
564,232,547,331,457,425,684,916,784,689,815,707,147,936,711,483,196,415,546,
441,910,125,789,943,928,269,079,451,877,404,547,024,379,475,718,109,635,268,
115,583,178,493,459,949,939,731,467,810,701,962,714,298,650,359,705,359,916,
586,136,694,973,803,924,884,047,148,834,933,072,947,698,496,570,617,117,747,
864,784,362,512,847,402,323,885,010,236,553,129,857,263,038,675,172,220,075,
033,168,201,969,175,192,500,962,603,039,692,469,530,642,569,747,452,738,759,
477,886,913,676,155,721,709,612,217,940,615,145,099,896,196,716,768,373,784,
154,204,456,826,115,980,819,022,516,263,619,465,820,943,759,646,964,532,321,
914,146,125,123,734,712,796,300,153,745,502,055,698,394,006,076,823,637,068,
532,150,232,701,595,651,043,986,666,324,934,064,257,397,091,465,286,060,692,
072,291,614,501,899,969,910,682,907,870,114,915,911,937,405,062,109,857,801,
682,152,576,036,889,758,313,516,538,925,894,018,079,935,733,490,212,587,272,
373,338,140,616,092,022,984,630,460,930,734,842,552,412,860,239,392,785,073,
246,184,324,220,318,759,512,657,524,440,957,734,928,572,225,880,315,157,516,
080,563,151,691,941,894,803,036,458,115,172,307,578,000,704,929,179,443,558,
146,412,871,212,255,876,832,140,291,894,831,552,325,735,215,484,334,767,539,
176,335,537,077,281,862,196,944,665,911,890,369,582,125,660,788,695,792,086,
220,342,322,527,956,448,526,417,938,817,765,509,810,884,157,800,316,241,479,
687,825,955,915,835,379,532,140,381,613,718,199,524,860,125,755,612,224,410,
257,136,986,901,306,002,712,257,873,979,405,574,910,205,811,845,102,897,294,
657,584,227,997,368,419,987,904,396,502,334,786,815,257,500,447,364,181,706,
932,444,489,756,712,143,876,068,490,462,434,331,958,430,019,743,438,169,630,
068,560,891,432,548,168,655,189,798,890,521,316,252,744,138,842,517,758,346,
210,168,892,608,358,218,360,464,359,523,479,198,388,733,532,615,273,218,260,
940,549,219,383,960,343,982,112,025,335,972,863,182,904,551,399,730,778,792,
219,074,875,665,591,233,148,689,970,851,943,692,692,997,028,316,601,224,091,
517,672,047,086,083,999,988,797,197,981,456,241,684,086,047,299,676,825,552,
961,198,091,659,232,132,746,705,193,773,403,161,232,811,519,724,304,460,355,
727,619,424,533,253,880,702,690,387,261,024,353,069,182,899,912,856,833,969,
064,710,347,202,419,733,407,027,313,121,185,188,465,686,847,062,242,325,104,
364,869,315,967,000,442,718,224,850,757,121,739,326,288,663,319,717,989,684,
157,441,667,350,035,256,046,613,086,602,608,685,456,708,729,582,779,000,872,
548,459,143,913,317,940,117,951,478,998,689,437,986,172,437,247,462,451,995,
814,258,137,535,417,319,124,516,278,813,585,906,829,047,477,402,554,322,405,
983,007,183,821,356,665,981,497,142,705,622,665,768,647,422,796,574,270,025,
180,586,630,031,663,006,766,407,304,213,836,224,890,843,072,431,174,360,809,
390,288,921,738,804,597,052,180,788,100,016,784,946,031,885,397,001,270,357,
820,011,365,424,809,545,193,399,717,229,528,595,853,623,078,558,000,370,206,
809,031,592,851,944,804,619,426,761,369,573,838,060,998,170,615,589,316,847,
293,902,664,244,827,220,048,174,628,970,751,925,214,923,051,095,106,652,717,
645,825,541,958,785,044,487,165,552,830,197,229,743,598,990,316,974,825,200,
738,928,157,993,485,242,373,156,176,789,417,455,938,375,183,801,108,044,386,
161,393,073,334,769,347,761,311,080,900,033,924,199,750,204,054,276,906,000,
202,605,001,440,563,356,801,455,162,496,518,030,344,991,822,884,427,948,656,
544,566,623,702,262,747,535,147,772,079,951,551,610,108,633,480,308,995,659,
598,232,299,690,429,774,566,035,064,528,094,195,492,774,810,961,803,688,430,
286,860,351,115,678,431,198,729,299,125,712,831,301,274,856,106,039,913,005,
570,511,771,993,592,623,618,197,068,543,236,264,634,767,062,368,695,946,364,
503,733,113,727,297,696,162,549,374,870,287,760,262,711,371,137,613,743,944,
861,821,183,879,004,913,009,799,292,287,344,157,980,510,727,874,203,597,873,
061,387,721,268,566,552,608,547,981,712,635,704,926,640,601,316,564,132,143,
950,989,364,351,463,711,625,909,981,638,424,229,339,752,921,423,640,088,346,
822,105,849,154,951,352,658,247,817,221,142,827,271,816,993,530,110,214,067,
855,764,190,559,504,124,099,275,605,576,648,440,785,802,627,326,402,922,162,
934,693,166,578,771,727,346,180,168,890,138,347,928,678,442,056,967,952,181,
100,190,376,668,561,109,533,169,272,536,511,919,539,400,154,155,567,111,655,
853,699,292,071,228,423,199,476,188,866,118,688,188,822,089,424,791,723,508,
973,409,385,132,599,485,772,267,448,705,609,710,898,526,621,047,338,465,255,
659,907,778,659,003,236,149,272,683,531,920,785,509,386,226,939,290,047,615,
360,873,371,979,420,966,347,116,843,490,123,426,101,424,416,339,467,381,960,
064,253,090,960,877,799,173,712,740,807,703,692,857,806,100,819,207,842,215,
727,600,286,810,593,230,998,278,443,545,190,802,982,541,819,762,387,546,836,
749,354,317,197,240,463,462,229,830,782,811,950,415,213,775,127,072,039,331,
579,788,599,976,769,022,193,947,122,725,452,885,267,473,558,128,454,984,487,
885,436,066,758,416,554,913,729,060,513,479,956,431,336,704,603,861,675,689,
312,838,596,947,499,411,389,235,473,073,766,312,498,380,327,675,521,890,119,
322,589,188,344,364,267,333,350,087,862,106,779,900,082,169,972,759,863,761,
216,314,164,813,481,048,929,109,996,172,381,482,291,580,177,026,122,083,832,
321,408,450,427,662,415,523,125,603,315,440,478,583,586,450,051,671,980,137,
792,321,337,136,171,696,366,433,605,011,254,640,588,357,025,995,866,780,665,
232,668,698,549,781,499,115,916,306,898,586,992,654,244,251,892,967,496,535,
800,110,780,212,838,280,739,223,125,576,952,636,164,181,400,539,185,820,245,
224,005,742,253,487,958,741,471,791,522,938,058,232,109,317,667,089,175,331,
656,520,095,804,857,428,725,527,258,832,204,049,850,907,741,729,989,994,994,
381,690,397,420,029,990,407,612,807,393,454,764,265,263,698,783,324,083,521,
826,445,295,661,938,449,363,592,984,420,419,145,992,208,895,881,505,177,139,
720,135,505,936,801,687,429,473,026,988,405,300,967,446,208,424,541,733,261,
572,936,169,309,358,330,819,018,773,771,944,421,753,406,621,184,680,402,835,
567,428,932,854,832,292,922,503,650,162,434,215,260,720,234,710,594,458,049,
095,451,126,409,517,299,469,804,548,104,451,991,890,246,434,066,246,382,483,
178,853,166,016,964,989,345,928,994,956,753,351,710,562,068,114,340,649,855,
058,169,534,367,216,739,459,387,569,589,509,141,167,258,084,117,916,729,854,
396,949,567,164,581,554,036,776,142,865,955,212,808,594,592,293,897,771,456,
950,801,773,873,445,829,716,456,075,786,656,824,214,389,315,540,455,976,567,
239,577,980,855,088,944,308,166,193,626,027,567,684,162,258,394,403,241,672,
141,604,433,523,811,067,536,361,331,693,125,760,906,627,675,281,099,020,886,
288,242,692,529,338,262,190,104,451,222,195,463,390,073,686,678,456,004,372,
569,408,351,984,534,772,783,435,315,044,087,135,065,133,798,284,560,969,088,
806,452,562,968,325,878,961,834,850,721,650,976,765,762,775,147,167,099,098,
064,816,849,990,497,292,824,565,759,940,945,283,763,286,266,253,298,510,970,
827,333,123,906,835,595,517,671,986,839,231,668,567,609,913,926,027,526,672,
098,036,293,566,849,655,111,431,432,231,460,411,610,676,767,618,099,785,600,
810,707,614,544,721,449,261,855,606,832,615,190,023,057,621,038,743,617,964,
168,966,061,770,642,926,687,893,872,682,992,377,944,191,943,936,257,073,736,
410,715,359,336,172,953,661,739,765,712,864,685,546,943,783,586,386,921,948,
936,237,691,169,192,849,543,277,512,582,551,389,420,498,223,833,570,687,944,
809,972,462,387,215,282,856,881,443,804,357,246,276,914,268,838,044,408,651,
219,679,944,475,138,446,306,993,770,682,717,859,731,510,032,114,481,633,117,
601,479,183,954,724,012,733,100,166,307,611,554,808,364,506,162,195,183,835,
989,033,043,134,861,350,019,860,410,197,166,551,165,615,218,699,854,439,364,
065,809,840,912,520,815,454,380,130,010,827,065,651,391,729,529,403,466,324,
465,729,871,221,702,764,762,490,656,813,871,720,904,866,142,663,212,713,054,
344,059,795,350,907,004,910,180,147,199,787,622,965,616,772,107,039,460,186,
517,543,396,214,305,144,683,943,140,610,639,617,049,831,533,960,906,006,673,
161,538,514,861,405,765,098,856,163,735,957,471,853,947,613,063,028,404,595,
302,261,807,298,908,709,623,921,790,710,700,601,597,011,226,021,821,496,372,
784,801,726,239,663,927,761,464,790,021,142,380,800,719,657,152,472,946,142,
888,343,048,356,468,705,665,618,176,922,795,461,128,015,622,420,802,810,338,
119,467,558,156,967,704,813,833,083,471,108,272,438,350,682,834,593,502,740,
533,437,323,911,935,602,611,073,040,273,014,862,071,936,429,576,096,660,007,
453,989,702,380,108,009,585,629,040,272,747,939,120,825,560,784,663,437,333,
657,136,995,948,973,321,901,412,370,322,299,841,633,787,088,920,212,341,189,
506,439,755,712,938,604,186,989,128,352,352,083,364,420,681,002,923,777,221,
696,861,705,069,098,852,566,689,138,924,353,023,109,642,664,596,516,213,522,
768,205,900,629,206,718,213,362,199,848,370,469,273,403,888,270,576,191,776,
891,628,805,273,814,141,308,766,618,819,009,750,254,013,081,697,355,113,351,
662,580,758,659,265,234,958,194,902,262,874,778,158,124,939,537,353,185,179,
381,911,496,403,831,993,922,680,875,115,874,313,035,428,707,532,782,776,185,
582,169,314,913,795,109,436,304,947,211,800,055,350,431,541,256,429,480,575,
340,173,714,099,672,353,325,611,928,826,098,233,543,031,425,041,880,458,157,
426,469,366,963,607,678,651,549,395,691,289,671,296,236,453,102,560,170,003,
741,326,799,240,903,600,627,254,132,478,921,212,468,920,588,145,779,805,025,
521,499,092,955,202,329,921,408,690,712,958,343,202,002,855,990,970,129,782,
613,649,583,396,827,131,145,388,448,338,128,853,059,710,271,681,004,899,245,
112,969,776,646,010,988,884,105,083,967,877,520,019,744,006,410,349,415,620,
548,717,685,036,982,098,089,539,217,201,061,361,321,777,659,199,640,003,258,
069,007,007,281,257,360,556,274,777,617,953,722,777,532,983,842,823,534,163,
606,031,249,194,010,680,223,849,037,877,278,232,914,493,223,124,501,224,379,
931,402,370,471,614,628,955,101,909,517,453,194,568,484,493,132,604,128,630,
608,124,514,347,528,260,239,678,424,471,806,812,628,594,886,212,431,460,144,
918,840,548,080,848,306,528,779,542,138,172,401,729,750,022,138,913,456,984,
487,752,211,456,908,693,059,579,922,857,764,804,344,286,832,501,231,344,543,
718,733,345,835,355,487,470,547,140,212,461,162,377,589,059,303,692,620,853,
409,978,136,284,812,462,805,245,967,632,228,131,920,333,813,464,107,409,721,
979,022,713,948,444,798,076,758,810,259,234,709,311,865,431,679,456,714,572,
264,582,640,378,626,370,401,474,032,686,576,707,291,435,625,912,087,189,346,
411,246,963,064,600,494,309,216,002,742,843,594,695,975,556,796,246,884,070,
578,792,222,679,751,091,414,472,534,858,145,234,717,090,630,447,941,246,328,
199,419,177,399,615,935,272,820,336,271,609,679,419,035,259,732,765,145,769,
134,008,128,150,248,848,640,612,373,743,778,169,197,080,620,971,393,596,980,
974,209,801,121,374,321,727,646,101,906,793,036,222,814,742,608,803,215,237,
581,470,104,461,798,308,610,209,472,382,370,925,772,767,620,327,917,745,261,
285,214,941,071,498,575,924,860,945,820,831,837,141,802,153,188,523,092,221,
005,501,431,366,052,686,912,746,225,231,459,491,040,220,851,001,309,646,830,
386,155,561,759,049,601,451,196,784,702,095,748,337,247,115,719,737,019,675,
222,036,175,960,735,557,793,637,446,211,314,094,898,945,776,220,028,679,521,
012,242,065,302,500,158,060,133,615,735,809,051,072,042,377,587,280,781,445,
672,606,948,887,986,009,023,858,707,909,621,252,492,877,489,662,995,185,011,
815,168,405,571,193,235,061,273,599,210,787,376,678,856,471,937,081,587,762,
881,883,041,611,540,254,658,775,115,577,082,149,905,911,710,970,374,209,651,
218,504,146,928,590,806,460,772,530,311,836,471,401,756,833,909,759,016,801,
408,401,142,248,995,512,386,466,560,893,251,724,056,111,805,726,662,372,267,
005,232,983,461,883,657,458,216,206,031,115,110,565,321,049,044,445,839,178,
696,013,693,247,132,225,297,183,542,663,360,546,641,018,324,751,796,879,342,
699,149,586,538,368,891,376,165,227,573,176,072,160,835,722,568,073,870,798,
940,695,506,583,836,507,586,413,173,702,424,102,162,897,341,836,553,981,398,
840,940,648,442,666,076,287,130,543,041,093,229,193,258,860,197,782,852,890,
693,624,990,969,899,746,366,607,987,850,289,812,227,177,198,711,725,190,874,
428,464,522,748,707,331,340,768,345,842,247,272,141,274,327,643,396,573,763,
492,655,182,104,973,351,454,812,552,398,084,913,843,497,881,081,632,927,873,
936,232,662,989,016,532,784,239,552,251,623,877,113,260,109,327,782,269,209,
714,475,110,569,481,246,672,419,864,371,530,764,152,480,178,878,133,478,942,
513,963,064,016,443,190,240,954,727,633,793,635,921,135,974,643,960,182,895,
480,581,770,509,658,538,735,564,668,570,510,638,747,868,609,353,019,221,549,
856,601,307,330,399,581,982,260,940,410,887,654,612,446,869,984,028,937,976,
909,474,572,860,036,461,899,679,214,237,608,833,387,322,261,779,978,384,218,
520,404,266,181,921,940,018,420,469,841,748,767,242,657,078,135,805,039,690,
285,873,299,149,580,045,991,473,565,630,649,525,012,574,411,783,928,960,128,
311,154,870,838,151,124,182,229,893,189,430,219,840,512,714,944,311,453,275,
624,463,386,693,297,685,315,108,730,250,031,711,634,261,199,551,270,855,984,
576,061,382,250,108,086,819,832,482,041,545,338,664,707,069,708,523,511,232,
998,723,440,849,424,159,071,152,839,237,383,973,255,911,942,799,086,953,894,
162,314,175,703,240,178,805,364,079,230,624,515,486,219,116,786,404,734,103,
992,409,872,975,603,464,540,753,368,285,796,657,345,468,383,611,369,233,254,
092,673,418,930,556,113,180,034,658,905,255,561,383,156,911,088,290,475,315,
353,173,050,060,162,535,991,424,545,967,076,495,928,187,092,632,161,143,136,
278,561,854,829,688,086,099,464,790,790,492,692,631,097,146,055,816,305,787,
900,433,480,958,517,707,105,346,622,875,821,817,240,274,798,385,384,108,719,
865,437,657,291,040,514,751,378,784,388,869,867,039,743,238,788,629,510,462,
055,173,052,399,397,365,167,825,183,082,114,539,916,480,389,457,037,654,313,
119,874,077,633,542,790,999,937,852,725,421,012,066,680,131,661,236,844,293,
920,259,846,989,927,782,740,294,077,667,231,983,377,801,435,402,934,093,267,
553,962,628,424,533,875,567,573,971,252,342,561,585,653,314,766,268,031,288,
025,071,924,999,235,931,261,797,423,396,825,503,962,603,591,221,225,338,630,
688,630,048,337,054,219,348,775,135,652,544,576,115,129,531,780,109,843,413,
385,810,842,902,996,172,401,147,503,063,732,980,202,621,586,907,024,373,615,
460,578,452,674,584,172,697,300,842,365,667,156,031,618,250,615,717,862,296,
469,300,403,145,593,186,053,340,286,250,699,521,547,744,568,056,630,544,535,
987,006,482,823,115,842,788,238,534,280,337,854,839,886,578,900,609,645,373,
881,024,437,869,439,157,234,971,201,795,921,462,293,407,225,340,579,635,129,
730,815,419,378,754,663,420,748,858,888,261,671,394,503,070,937,719,709,122,
522,581,088,720,803,686,469,061,215,492,903,013,860,607,568,795,411,374,373,
066,866,079,508,628,273,552,778,029,842,321,307,966,174,066,946,179,506,670,
415,628,293,736,057,318,273,539,399,213,182,669,465,710,389,165,656,137,092,
774,672,634,886,102,152,676,153,410,498,809,817,942,041,442,614,535,484,212,
615,977,441,715,043,452,646,955,876,928,142,789,611,028,488,537,763,416,388,
954,175,719,860,890,881,325,824,764,405,403,963,149,410,646,324,215,656,756,
094,066,594,691,122,558,297,585,199,672,298,246,056,312,867,749,352,942,228,
713,100,458,530,505,937,486,811,334,163,821,180,586,022,784,746,412,841,836,
349,862,940,600,547,485,829,900,039,530,694,989,882,371,021,545,556,992,108,
750,538,244,613,118,772,246,922,737,391,529,202,416,282,168,462,285,643,119,
945,564,270,629,436,891,168,758,616,113,294,906,485,669,476,116,195,517,112,
461,035,248,992,172,046,456,412,629,061,622,793,032,290,955,806,802,892,626,
916,887,181,619,163,259,342,108,101,554,054,055,103,477,514,802,170,891,373,
340,779,373,910,432,575,019,791,640,007,505,833,813,862,750,705,213,285,009,
516,078,968,944,296,430,149,419,607,232,675,684,157,180,123,866,218,143,528,
385,823,693,102,611,166,805,804,342,073,206,277,155,330,644,118,177,287,944,
929,177,065,197,753,705,522,426,813,933,296,550,952,385,230,043,387,153,942,
609,310,032,138,471,947,528,686,364,351,474,652,823,475,321,458,079,699,946,
660,826,815,247,765,063,494,600,104,041,272,941,171,573,928,626,073,922,283,
407,398,638,830,245,353,105,002,830,657,483,282,586,485,776,476,418,390,656,
519,941,181,650,593,751,059,098,116,317,370,368,875,393,046,258,360,397,628,
966,480,292,616,782,429,496,595,744,563,247,505,790,267,847,585,708,782,663,
324,656,392,000,377,376,540,150,259,748,090,796,459,393,342,100,689,843,421,
933,334,218,964,158,864,222,512,506,402,934,813,959,600,017,644,214,257,764,
589,516,146,611,758,905,627,993,929,538,480,296,793,913,552,128,001,069,095,
374,229,918,705,368,442,095,055,068,541,530,817,410,456,312,732,020,180,107,
909,316,049,129,241,177,984,812,848,655,696,431,765,155,107,276,995,055,062,
425,926,231,028,312,142,481,887,471,726,512,000,940,805,582,860,616,555,818,
130,666,272,238,603,767,235,973,838,717,445,823,436,274,283,208,000,069,102,
941,454,860,326,777,796,547,509,993,056,739,539,869,837,219,222,744,813,527,
611,858,971,542,823,981,849,919,555,339,174,517,515,657,327,682,694,542,444,
240,161,410,627,976,717,404,141,168,089,378,499,069,446,353,380,229,756,982,
929,295,821,352,389,321,426,523,987,867,283,155,488,397,041,172,785,288,461,
741,959,735,559,274,267,765,618,639,851,674,462,277,064,462,303,065,528,674,
739,981,900,163,930,081,840,060,047,263,247,609,223,683,168,949,598,328,277,
964,685,841,145,374,138,858,597,513,099,046,654,253,020,541,343,926,871,241,
056,684,782,828,280,533,726,290,568,219,055,593,547,918,848,932,432,651,288,
942,934,206,291,255,202,157,670,092,528,425,913,346,448,973,378,405,901,799,
704,937,589,121,936,827,044,476,836,724,466,840,334,405,386,627,494,560,925,
948,292,978,998,629,837,534,532,957,059,433,615,556,207,423,413,866,069,032,
772,440,266,087,768,788,277,274,786,385,659,815,243,374,762,428,451,186,982,
500,264,453,506,240,276,437,938,501,545,387,563,634,529,638,098,950,451,025,
161,371,771,871,502,904,489,401,913,843,359,893,572,107,944,625,317,024,478,
824,494,982,535,832,941,458,711,166,158,709,469,603,409,639,387,956,503,945,
885,496,667,366,349,158,292,698,757,528,150,768,313,625,983,215,483,663,802,
691,179,224,394,466,897,620,075,336,081,715,889,079,774,005,673,517,380,287,
017,906,985,500,170,140,133,144,885,281,611,274,030,851,230,414,863,754,031,
869,725,327,586,736,701,979,254,703,301,463,370,744,287,486,805,532,905,960,
809,771,745,290,296,152,517,286,341,526,583,788,704,765,402,921,236,885,700,
776,862,792,995,109,802,479,827,322,986,717,156,291,094,031,206,813,550,828,
566,786,636,180,915,431,970,095,605,887,227,225,662,086,086,888,466,654,215,
583,182,855,709,660,184,692,594,357,569,586,844,068,910,917,726,268,323,081,
983,794,909,893,683,223,121,909,054,824,391,091,369,438,312,519,330,480,855,
837,478,419,565,775,163,878,046,252,354,784,874,362,647,729,899,687,670,958,
255,623,615,919,082,583,125,850,159,497,116,501,705,923,434,122,201,273,460,
958,331,933,219,111,095,448,435,625,202,032,543,614,614,288,257,528,727,298,
156,817,087,304,245,350,244,047,534,266,007,502,320,058,712,963,020,936,851,
929,574,004,039,538,411,391,681,537,960,437,349,890,106,701,894,908,542,810,
090,790,296,506,594,691,032,408,641,121,670,638,003,586,554,304,128,142,790,
840,619,895,637,798,097,932,413,305,231,581,704,553,783,084,665,156,028,629,
712,236,281,318,745,185,337,552,482,075,355,493,517,091,397,639,799,564,433,
963,673,314,500,896,268,927,876,546,640,264,685,771,023,955,136,236,187,536,
758,996,113,614,613,655,742,365,969,653,096,490,412,676,948,244,033,627,804,
966,655,759,600,639,674,098,822,804,389,934,748,646,209,578,736,547,206,619,
936,604,402,648,922,110,753,453,172,809,305,530,832,885,031,841,233,571,783,
085,593,479,233,775,516,954,057,800,332,544,721,172,689,056,683,637,769,776,
904,257,629,915,304,639,435,642,356,319,435,450,534,612,958,230,689,852,997,
106,766,172,196,583,716,456,850,971,255,359,609,321,422,830,383,897,858,438,
093,820,451,618,379,581,991,014,757,754,518,087,450,557,889,885,764,959,396,
024,422,560,128,413,408,182,153,854,840,314,223,304,878,712,588,666,747,613,
767,988,342,253,838,889,671,606,236,982,720,045,269,054,256,133,296,360,675,
433,088,686,155,543,224,102,423,444,316,938,937,566,885,133,862,492,748,690,
543,491,650,939,571,642,939,022,244,321,286,363,152,139,175,229,011,662,571,
074,596,201,174,221,477,537,111,137,950,462,475,658,033,108,832,121,109,206,
821,610,650,557,225,734,960,125,665,943,750,699,229,969,301,423,589,613,025,
046,362,684,868,755,567,603,628,594,301,530,085,746,208,106,766,257,898,043,
031,503,584,375,226,994,052,653,182,482,013,572,494,666,821,627,485,575,888,
931,909,394,089,740,105,553,125,791,078,018,519,819,396,927,316,996,856,032,
085,496,400,318,058,003,424,378,694,337,054,107,981,838,955,730,955,446,164,
451,208,955,243,272,606,501,318,674,598,187,358,266,218,339,204,432,004,848,
534,713,308,340,414,546,325,075,136,123,654,156,233,262,325,807,786,957,124,
944,860,876,520,743,965,112,157,187,556,244,155,621,874,589,612,691,271,098,
373,191,792,208,267,074,092,879,881,713,840,110,346,461,338,147,080,289,234,
263,707,491,811,008,070,311,113,800,793,692,016,936,979,618,383,261,889,486,
213,447,848,220,438,577,886,745,609,933,253,281,749,748,240,884,227,335,871,
908,729,243,501,305,642,854,406,617,107,599,719,254,304,801,835,131,717,690,
294,386,528,644,315,538,491,827,134,301,018,350,929,724,424,485,215,550,879,
077,924,779,412,106,401,561,631,956,568,857,761,998,620,354,683,694,631,709,
457,386,002,358,806,365,049,398,485,395,909,148,401,699,817,835,759,635,772,
645,115,584,693,052,577,218,652,298,209,080,815,567,791,290,288,621,771,224,
218,465,426,975,107,653,098,711,235,202,293,294,874,781,602,693,485,812,336,
799,717,058,770,164,992,783,625,029,837,538,080,467,199,707,477,172,792,129,
696,081,128,616,085,368,998,566,754,853,264,157,133,341,934,126,784,481,617,
285,429,968,712,565,937,325,304,566,405,233,956,734,964,981,290,828,137,382,
916,031,343,987,748,406,542,452,701,570,378,865,618,082,682,227,005,496,875,
130,994,880,065,209,521,678,916,765,110,185,022,286,537,446,059,178,632,901,
035,554,007,003,150,470,577,184,928,948,713,704,302,610,423,437,178,746,059,
853,760,849,163,280,110,356,189,435,222,009,088,123,422,339,092,202,610,111,
428,114,928,469,466,295,944,648,992,944,947,580,873,909,389,388,378,621,379,
631,084,321,505,035,677,167,995,458,633,388,439,690,816,277,546,411,905,937,
941,174,998,307,833,954,235,239,957,787,408,808,424,887,431,761,062,039,384,
431,870,108,116,878,974,211,310,934,746,568,580,979,929,527,428,810,639,031,
746,925,799,831,292,576,225,802,139,555,141,405,751,942,888,242,220,800,259,
455,455,957,082,731,726,998,486,241,193,435,261,800,132,094,064,511,507,215,
077,348,050,799,030,058,061,583,194,310,296,797,246,354,373,651,975,937,356,
466,438,560,468,054,393,105,644,723,098,514,639,354,453,490,807,898,709,690,
301,121,898,091,788,749,084,266,169,319,404,659,885,446,232,529,718,087,159,
388,574,172,318,362,268,878,883,970,904,525,763,031,424,379,416,736,585,679,
438,997,638,968,668,419,152,545,467,806,524,483,015,274,423,601,498,330,835,
252,432,890,115,913,223,971,467,426,066,538,601,556,843,448,446,381,761,612,
551,697,632,914,764,376,168,368,675,505,077,452,881,116,424,310,711,627,986,
792,348,013,599,034,077,103,934,239,883,277,798,104,404,334,240,570,191,817,
168,882,947,999,702,850,367,647,991,595,224,045,555,362,497,340,261,535,012,
661,883,252,404,571,431,812,040,672,066,786,643,883,425,921,883,973,268,503,
858,332,308,487,417,429,293,722,512,462,528,057,774,394,086,254,652,545,465,
306,584,790,266,045,701,524,016,389,464,608,150,814,125,913,423,998,710,433,
600,634,595,399,375,143,991,229,253,690,333,019,126,320,998,429,053,124,156,
275,110,389,976,269,427,354,986,986,080,726,578,808,898,783,126,381,084,736,
741,103,262,528,354,799,732,547,307,452,154,836,197,655,636,578,333,935,315,
663,445,754,814,805,399,433,137,926,543,018,558,571,833,868,698,390,130,420,
563,839,917,106,064,636,599,236,824,773,380,010,786,468,690,138,578,534,530,
396,041,598,688,408,695,399,914,660,924,640,793,285,870,248,922,300,478,003,
258,474,132,087,970,213,972,327,212,302,130,231,256,467,400,201,866,779,983,
378,564,356,724,607,671,125,759,981,528,608,824,378,699,880,579,279,007,153,
184,791,270,706,899,712,120,273,572,511,276,789,749,563,302,464,247,387,950,
286,540,286,468,710,532,417,823,011,596,299,002,267,568,273,497,994,243,691,
427,889,581,187,961,543,336,455,446,790,559,749,573,740,852,867,540,643,027,
651,493,812,901,537,405,841,236,613,592,128,253,702,586,954,369,168,821,990,
032,537,121,010,294,806,686,179,081,123,430,123,566,958,707,051,830,022,217,
731,409,682,269,104,103,219,298,659,874,373,932,238,283,145,963,725,394,437,
809,164,193,607,307,075,427,480,447,977,685,790,198,651,920,642,096,748,859,
999,916,029,883,996,324,795,329,319,108,543,280,230,127,500,625,651,356,037,
164,214,698,540,826,866,451,654,544,634,702,544,941,094,697,917,384,638,099,
677,127,962,315,562,885,152,564,317,247,316,053,279,622,604,386,607,566,755,
656,649,331,841,948,116,061,489,814,268,844,662,539,264,164,521,317,788,140,
553,347,807,209,132,574,940,836,912,667,496,174,945,066,759,762,342,257,260,
527,246,527,763,215,563,880,024,812,517,747,825,599,756,106,550,153,075,118,
670,171,023,264,207,239,129,082,331,897,178,992,548,102,540,472,030,145,839,
479,636,394,227,718,909,688,668,710,227,692,165,196,869,364,325,610,143,874,
785,040,726,273,978,036,504,236,090,250,246,859,643,308,861,699,296,805,086,
923,019,260,808,655,364,214,566,493,243,146,333,982,939,051,782,004,908,714,
331,151,030,286,439,809,122,695,645,600,818,070,912,053,492,759,487,703,403,
753,983,440,500,798,992,264,838,484,228,842,908,032,952,291,445,878,485,788,
030,808,871,652,455,990,282,101,914,744,186,889,482,108,662,353,722,594,641,
392,301,220,341,634,803,789,525,868,238,500,925,229,889,429,125,733,574,395,
873,380,215,769,382,253,136,623,636,002,490,412,232,766,293,302,376,218,377,
349,223,102,420,867,578,487,473,656,632,846,059,248,459,775,097,926,358,255,
357,470,130,190,163,775,209,600,554,768,276,941,884,549,918,086,681,931,473,
042,009,324,137,935,791,451,869,167,198,119,642,930,346,042,778,825,571,286,
508,028,098,237,189,121,643,499,750,041,583,872,489,609,826,891,598,276,328,
459,312,694,382,807,402,743,967,909,197,814,991,223,273,280,988,307,315,399,
625,124,021,144,991,957,486,808,025,659,938,174,644,467,496,007,234,894,958,
108,138,702,131,148,724,634,976,131,025,278,128,925,892,270,873,656,960,282,
021,174,801,247,016,866,831,418,050,083,484,292,049,692,552,155,030,131,835,
746,587,775,799,129,342,548,922,481,609,270,992,587,646,775,191,079,479,824,
624,011,067,879,954,840,777,500,616,977,902,916,633,065,056,290,204,016,048,
654,385,472,866,306,611,087,145,412,420,212,719,450,570,939,393,314,715,831,
292,388,318,385,083,887,069,447,849,593,734,676,302,436,778,147,598,961,957,
586,097,784,145,241,507,270,294,572,740,330,828,340,240,546,939,632,558,728,
895,702,827,704,734,062,504,310,006,828,554,463,123,130,672,015,216,535,984,
655,515,067,032,703,363,054,745,773,428,038,002,574,594,498,045,623,316,782,
834,122,976,126,939,569,372,863,299,876,576,719,861,038,973,223,486,465,932,
711,358,286,966,781,892,880,428,378,841,791,222,160,086,802,040,858,506,825,
017,558,924,850,490,905,550,497,488,898,976,055,164,675,068,920,452,199,878,
074,476,228,023,562,870,559,645,390,887,472,034,214,266,620,149,609,649,418,
247,585,003,462,214,096,555,124,003,285,987,891,749,392,195,162,705,834,492,
334,740,368,648,818,656,423,653,667,719,414,849,687,971,130,245,378,675,133,
314,232,349,641,473,512,530,788,206,440,135,818,863,712,227,775,430,755,434,
033,454,028,161,247,620,977,995,504,697,019,877,289,487,279,169,577,944,381,
863,774,382,816,014,204,679,593,021,365,697,943,152,548,445,489,169,567,294,
730,971,320,319,339,038,728,047,012,599,699,825,980,510,813,673,115,883,985,
187,356,032,089,460,516,919,051,935,087,368,180,497,199,335,402,995,435,757,
448,801,165,991,379,943,639,295,077,699,432,866,979,066,012,294,548,502,743,
253,232,885,053,912,508,770,348,353,525,095,549,342,515,587,552,633,937,695,
744,331,946,013,137,040,987,310,621,075,990,758,740,909,101,626,648,212,686,
630,662,916,878,408,661,287,270,811,931,955,663,836,342,238,226,283,315,735,
659,748,134,545,725,905,856,055,161,503,709,721,989,086,591,486,006,073,959,
527,914,720,929,363,777,023,294,675,103,054,398,862,990,438,311,442,905,503,
006,196,331,244,494,327,448,222,072,232,175,220,889,090,608,389,044,329,392,
379,696,795,282,406,013,187,468,559,619,254,349,800,267,268,853,990,742,234,
652,044,763,650,732,482,747,892,867,775,914,774,909,628,451,500,298,749,076,
011,250,416,639,766,964,288,687,560,475,050,166,797,847,790,623,515,877,868,
388,800,749,723,015,850,881,155,774,279,017,329,128,327,253,850,604,266,442,
451,255,523,834,335,786,911,868,802,021,390,813,447,237,765,639,579,292,275,
418,508,049,776,770,772,918,105,115,980,752,149,606,075,742,618,464,032,219,
845,608,624,914,888,597,347,799,165,543,813,273,262,343,931,625,730,928,011,
911,949,850,312,949,541,222,531,054,278,936,321,245,849,569,973,713,295,113,
115,881,279,078,650,336,511,994,947,862,273,061,728,074,299,690,269,578,472,
740,595,188,547,572,244,221,989,473,148,520,884,832,329,142,813,324,069,712,
320,838,618,310,961,843,000,871,014,354,345,633,482,191,010,664,861,909,534,
263,187,320,797,011,989,866,355,989,160,579,628,784,890,153,277,855,336,876,
352,498,459,560,950,946,188,266,120,721,807,238,776,644,955,287,249,707,628,
675,513,489,518,989,262,710,137,465,047,224,579,046,074,658,947,183,073,353,
948,453,959,000,122,093,352,305,204,453,919,069,036,089,007,191,477,668,635,
761,189,132,498,369,647,763,328,487,760,907,601,211,594,424,636,080,149,613,
269,137,974,864,771,975,507,961,075,555,405,825,324,120,037,873,052,876,651,
375,143,863,147,954,894,513,552,756,732,041,946,307,401,147,776,755,587,333,
317,017,178,796,560,830,500,101,369,083,294,379,024,874,501,958,716,159,027,
149,596,903,472,183,750,546,994,717,526,938,724,549,968,894,184,335,705,864,
333,887,439,761,867,630,042,075,479,970,818,283,211,163,086,465,324,667,914,
180,441,380,659,759,493,197,501,653,263,148,378,428,603,763,290,783,049,535,
962,434,330,682,868,017,871,164,837,467,424,881,210,312,743,964,974,297,166,
979,683,111,911,695,392,705,478,648,813,280,057,257,093,252,714,962,723,964,
177,320,170,793,037,591,872,164,049,792,084,269,483,564,937,564,199,538,973,
531,488,613,001,470,644,665,666,853,596,261,075,681,114,107,641,588,211,200,
519,631,831,582,622,866,913,432,749,362,122,979,246,788,065,044,224,791,562,
910,190,603,958,079,643,337,326,494,848,137,887,999,859,736,465,755,916,375,
888,873,453,654,696,814,455,279,529,188,927,830,565,018,529,678,686,790,180,
371,896,969,779,251,543,535,453,664,212,058,669,629,928,340,789,554,406,152,
870,145,861,570,067,964,029,350,503,881,303,156,918,568,783,624,877,516,989,
344,860,526,081,899,740,519,616,837,998,465,534,438,705,011,727,656,185,770,
188,012,833,832,586,889,017,749,883,552,643,819,839,181,168,115,724,146,356,
269,638,823,182,942,696,316,033,013,463,697,167,210,023,136,573,644,173,470,
474,641,549,921,189,922,652,407,449,695,789,288,806,258,945,194,551,871,911,
730,582,168,164,804,060,172,211,749,052,085,950,256,407,931,838,880,587,187,
929,923,512,570,575,969,844,835,902,055,330,583,564,462,676,785,923,097,872,
120,757,697,731,876,154,254,688,047,691,570,181,235,285,802,581,903,607,930,
419,195,983,393,434,770,764,928,140,680,359,496,695,342,596,847,230,193,625,
570,741,978,232,275,333,684,354,531,473,744,360,197,983,288,496,223,297,805,
398,566,719,776,838,211,887,972,468,360,180,178,809,908,265,401,092,164,876,
858,612,463,585,491,562,086,016,615,334,899,432,103,473,405,586,433,620,477,
066,756,114,693,510,191,722,658,751,821,495,796,197,991,909,708,430,262,245,
553,945,371,378,660,191,435,153,351,905,789,044,965,101,053,110,415,436,040,
026,225,003,992,615,948,450,701,138,685,157,045,726,116,114,016,935,221,800,
783,610,915,053,306,838,256,147,393,792,995,150,409,356,513,497,321,037,614,
444,423,532,935,637,747,392,632,388,439,674,776,296,119,737,543,391,163,263,
841,420,684,739,315,521,606,500,355,159,182,100,150,966,947,070,250,383,288,
302,760,037,280,573,439,374,383,121,795,512,715,485,144,695,833,510,298,763,
937,405,188,856,070,071,572,957,645,878,263,938,965,921,831,171,626,406,956,
794,436,363,446,137,613,523,100,672,687,308,398,821,719,765,668,066,651,441,
448,380,996,298,526,739,044,456,163,905,940,629,438,232,176,697,146,022,925,
050,752,977,319,661,213,634,320,207,934,465,051,755,899,213,244,013,835,475,
790,832,935,794,413,746,266,720,323,576,912,316,851,533,317,864,089,449,128,
583,336,541,623,861,153,111,657,145,939,914,274,459,462,336,063,951,208,672,
903,564,008,316,284,569,756,363,558,354,856,207,197,670,798,700,980,363,415,
414,572,418,528,295,564,740,212,461,021,723,727,510,227,680,156,763,566,268,
469,987,712,388,901,557,743,410,533,985,114,517,126,728,311,951,449,968,920,
186,793,877,162,094,690,938,108,882,074,252,779,106,795,181,138,204,142,256,
417,532,116,969,161,241,378,625,128,818,181,588,988,690,278,520,998,370,986,
262,828,946,005,253,782,544,976,983,561,411,499,207,296,233,128,794,009,665,
920,701,838,198,883,833,133,387,193,716,096,828,872,817,863,846,205,602,067,
121,170,752,217,220,066,646,333,771,490,468,224,843,168,435,498,657,553,839,
661,805,622,634,421,421,582,273,904,708,936,516,931,105,145,770,284,405,601,
408,733,065,446,364,109,942,367,752,435,815,341,346,857,101,521,612,352,870,
707,706,247,972,988,419,588,283,184,749,720,961,704,570,805,167,232,388,490,
719,279,221,977,970,201,351,798,623,064,830,054,399,764,466,937,381,135,099,
507,955,792,221,749,556,033,786,261,815,152,983,099,644,034,094,778,567,963,
269,458,861,482,772,079,838,996,026,256,994,264,423,347,646,068,234,203,188,
908,012,165,874,932,564,710,368,407,045,315,244,875,618,152,822,143,562,270,
940,045,601,104,955,556,901,340,901,576,554,279,548,328,799,537,447,010,794,
283,458,719,414,602,201,815,518,067,775,861,653,680,985,334,639,669,239,686,
458,127,574,842,602,474,104,711,989,399,142,401,066,295,550,201,407,776,890,
983,195,569,021,439,792,245,897,472,350,020,620,659,944,036,920,456,080,769,
583,415,792,368,765,143,091,838,576,486,265,268,221,752,385,081,814,869,804,
344,502,965,611,882,095,772,231,880,132,164,216,253,196,218,369,804,235,626,
959,080,638,928,673,207,721,003,325,693,048,066,784,923,272,914,136,555,529,
304,115,180,729,030,706,048,107,957,446,279,080,364,727,394,975,313,652,412,
299,504,358,891,097,139,780,252,578,052,342,097,796,474,624,501,653,770,493,
493,855,066,685,286,054,426,665,985,325,597,149,584,975,283,427,779,585,706,
806,717,626,310,558,958,350,663,712,851,976,206,101,600,372,422,392,905,537,
871,699,279,164,154,322,881,250,743,387,068,824,221,379,740,242,871,969,118,
270,705,411,316,331,997,038,621,160,125,730,074,764,005,636,748,693,754,488,
009,010,612,329,263,797,547,715,782,965,124,196,867,495,354,372,808,250,893,
466,873,567,556,652,717,889,531,684,601,862,559,938,513,757,204,888,433,514,
896,147,458,722,193,627,569,800,442,246,527,007,291,045,360,563,077,400,506,
210,635,401,101,240,196,681,348,456,311,776,579,508,191,085,561,811,398,822,
733,821,803,743,202,789,668,586,921,545,308,100,948,859,177,462,820,143,247,
578,348,797,480,531,028,589,159,787,109,416,543,991,069,312,775,436,446,629,
166,757,230,042,497,295,385,032,560,375,165,345,389,762,938,865,153,453,608,
453,950,734,746,428,127,434,376,980,266,405,413,928,075,211,312,527,370,390,
698,871,198,099,928,952,518,634,300,290,405,386,256,189,664,543,476,059,878,
749,745,099,604,932,406,497,645,985,147,059,788,375,539,138,412,109,286,038,
129,122,371,695,013,018,515,194,771,599,991,866,058,627,345,335,187,048,008,
092,551,664,365,301,555,374,800,187,689,767,226,645,400,797,524,228,483,937,
104,066,826,998,222,695,464,221,646,152,517,016,479,550,432,940,260,956,371,
369,246,376,297,140,271,662,594,750,189,689,858,553,054,003,959,979,919,391,
371,169,177,630,875,783,202,938,301,142,362,448,809,358,863,862,741,919,394,
679,206,720,289,771,554,433,583,609,929,905,002,664,274,400,421,048,253,303,
963,636,771,208,684,381,862,758,025,764,452,435,635,172,936,047,013,308,977,
588,873,216,383,195,781,489,907,283,985,326,348,374,641,700,905,411,225,205,
367,026,579,731,120,247,924,275,477,679,930,786,067,801,407,141,662,257,359,
571,939,580,394,946,683,208,548,781,326,386,394,105,490,700,987,948,010,806,
147,770,561,544,153,805,387,310,489,996,239,551,827,811,208,966,310,703,132,
511,888,943,322,087,564,697,438,732,127,966,213,267,838,136,693,081,953,729,
624,746,229,281,119,616,188,905,565,058,374,120,090,867,839,742,987,318,591,
346,479,409,694,417,056,725,678,154,511,011,945,922,784,437,465,935,899,291,
103,065,340,649,459,521,413,539,093,513,614,948,299,573,044,984,532,544,442,
810,807,502,100,426,330,980,302,472,352,581,634,869,473,799,781,531,980,546,
244,694,893,369,492,313,573,453,782,236,249,675,194,863,970,380,027,355,703,
297,954,748,761,784,578,735,725,786,729,578,840,611,064,741,580,414,200,918,
316,795,011,702,955,336,353,093,078,969,813,988,681,548,770,405,656,281,797,
369,972,981,364,410,160,136,307,163,416,236,116,011,336,600,836,042,987,070,
338,459,581,012,348,405,093,445,521,579,201,261,744,888,494,641,384,632,744,
608,539,256,053,971,762,237,583,556,619,623,872,085,578,264,842,438,209,052,
432,646,434,980,393,093,418,580,533,283,453,386,669,941,610,220,543,787,329,
873,019,924,460,183,916,148,452,595,621,557,229,114,061,221,281,875,623,446,
055,805,972,293,938,955,197,972,748,251,025,062,237,070,034,937,151,086,046,
569,731,664,318,159,112,554,042,363,175,596,223,087,579,161,896,700,284,789,
272,191,080,137,456,189,895,987,155,863,296,072,205,585,939,186,775,013,700,
751,950,417,814,688,098,569,782,510,325,464,139,442,435,437,328,686,646,938,
063,785,897,031,679,334,353,968,290,913,964,293,606,421,748,129,270,828,217,
416,739,979,322,548,539,086,095,215,662,532,410,235,804,655,873,249,221,396,
799,303,795,599,226,835,813,152,627,652,766,482,130,462,287,990,424,728,286,
871,678,360,293,976,216,158,983,676,602,007,207,701,866,849,266,002,642,511,
517,345,472,539,236,836,445,809,470,998,378,911,846,504,114,944,225,197,064,
989,836,639,485,299,729,886,821,137,017,277,853,792,570,823,408,892,962,875,
979,479,208,441,706,373,642,255,454,896,524,196,365,119,621,508,088,533,626,
039,651,166,261,144,382,815,783,865,055,719,857,313,987,394,993,177,884,628,
581,392,174,676,651,623,628,098,825,537,249,156,520,209,483,477,893,908,392,
905,274,524,673,980,086,906,982,523,217,059,715,645,153,172,731,881,833,084,
609,743,639,604,878,386,184,833,459,460,303,779,137,649,233,615,718,000,265,
372,360,300,535,969,412,766,425,842,424,593,964,939,665,604,126,670,743,269,
039,406,090,957,471,991,861,399,660,511,497,731,838,579,604,121,388,565,691,
896,342,222,184,919,436,238,860,805,235,656,692,075,848,027,407,654,770,594,
041,032,325,062,108,758,954,352,656,563,002,157,847,762,586,606,709,525,093,
105,090,089,434,283,956,805,851,962,563,881,005,668,302,979,856,895,572,095,
727,888,363,903,405,155,202,624,183,661,225,720,965,655,604,403,943,539,068,
469,594,128,397,947,004,984,373,090,846,900,487,529,730,150,519,195,149,442,
210,508,080,686,114,060,278,158,294,583,937,993,776,015,455,426,511,459,806,
880,152,959,195,231,620,189,137,431,900,320,806,259,267,666,845,817,976,399,
477,808,311,900,968,944,395,479,107,402,074,130,978,789,417,444,783,794,937,
319,306,339,898,913,930,801,281,324,294,435,095,278,031,777,076,781,285,260,
621,350,724,006,448,121,339,514,826,544,352,856,856,650,906,952,662,275,913,
836,778,530,800,607,072,393,630,797,726,135,860,404,202,242,050,566,574,446,
781,470,276,810,877,082,616,423,734,802,136,013,965,637,288,511,702,491,924,
425,040,420,548,308,070,554,155,583,928,552,930,467,836,960,246,308,558,783,
036,139,735,734,827,399,058,830,740,769,966,214,482,648,056,636,601,129,788,
191,933,443,291,855,743,153,873,340,577,394,101,510,893,411,337,679,620,812,
721,921,596,903,554,519,010,890,070,346,295,364,404,111,137,282,685,724,803,
484,069,104,780,157,038,433,275,666,526,947,255,714,321,696,539,887,251,868,
193,937,806,788,199,158,777,037,410,734,170,702,984,168,958,159,497,877,321,
242,447,811,554,081,573,034,898,993,516,460,163,240,492,515,335,596,491,536,
199,329,678,044,221,448,175,623,577,830,257,599,421,440,553,053,483,489,785,
123,435,121,271,646,021,572,387,486,425,614,744,433,845,737,616,263,378,815,
035,963,047,547,799,000,127,779,021,189,759,761,654,973,044,230,855,787,831,
794,947,104,736,879,808,365,397,952,054,415,955,966,664,399,921,246,395,341,
079,688,949,846,775,536,904,980,768,982,160,541,110,687,879,493,694,522,953,
352,102,274,945,985,086,084,112,662,448,131,782,158,786,374,583,569,754,165,
235,682,262,613,764,524,973,311,642,884,584,283,953,597,627,058,260,047,708,
925,890,227,586,773,638,307,430,140,511,036,466,775,809,692,453,814,401,155,
577,559,527,385,493,162,903,773,411,430,170,039,298,784,731,167,870,538,258,
608,255,256,015,143,293,490,775,138,465,024,483,862,196,439,852,658,780,072,
178,232,063,123,657,601,816,903,582,276,230,419,381,450,111,906,474,352,274,
627,889,153,554,578,759,763,735,122,364,611,347,780,669,133,423,722,648,226,
710,907,291,066,232,944,528,380,801,314,230,166,152,145,676,308,508,882,278,
697,991,677,995,660,976,985,756,555,366,984,829,945,050,408,872,103,286,315,
960,313,320,263,548,523,253,635,904,186,705,559,509,931,883,438,677,265,579,
411,013,907,947,896,176,473,859,494,571,794,103,406,363,134,971,698,087,283,
669,253,141,813,995,684,921,076,879,999,978,399,024,897,745,172,980,814,634,
512,833,945,746,705,367,899,895,296,907,603,218,183,170,975,733,414,402,242,
417,011,871,308,075,602,470,742,165,836,066,714,324,992,683,016,246,085,283,
347,756,440,718,897,906,906,597,663,669,832,729,130,809,699,061,374,354,889,
493,859,704,511,969,153,629,363,285,513,020,635,667,817,801,782,352,396,029,
748,913,238,691,197,193,280,106,955,216,949,363,567,901,317,997,636,599,125,
625,252,076,845,575,167,776,761,411,493,232,340,088,907,746,292,600,484,583,
179,417,664,597,327,990,572,775,594,523,854,784,964,173,380,234,296,307,813,
339,685,766,439,224,537,609,462,095,648,953,789,647,985,854,663,569,044,540,
521,532,490,607,016,948,710,334,535,147,597,803,275,206,293,363,530,019,974,
172,661,796,597,224,978,659,103,493,477,691,348,002,877,355,174,302,255,154,
660,164,153,108,374,860,525,043,900,388,816,769,853,537,464,039,692,741,665,
580,704,848,703,168,645,270,797,050,080,725,949,647,105,116,797,951,430,140,
869,301,202,848,489,990,728,498,293,440,186,018,439,360,611,887,992,751,165,
015,181,330,234,703,677,033,792,190,112,028,711,040,361,506,999,803,971,255,
502,851,456,266,324,989,924,048,818,282,952,098,899,554,904,485,857,555,334,
592,796,021,304,399,274,890,403,184,633,771,517,275,624,941,297,295,450,123,
323,130,864,093,891,322,540,604,165,294,838,016,421,238,091,358,798,858,081,
476,061,685,134,990,509,202,200,734,786,750,395,688,453,270,104,726,340,466,
737,856,808,286,408,774,251,658,342,164,516,726,826,693,555,772,642,304,083,
340,844,061,017,136,468,437,143,106,503,106,836,933,068,977,641,352,820,822,
435,926,254,812,988,728,097,599,830,667,021,918,261,412,398,029,514,648,765,
004,228,526,454,053,157,039,802,696,055,887,369,150,148,233,132,173,376,288,
786,727,738,554,637,389,767,896,427,588,810,174,776,797,625,177,088,725,934,
076,856,501,006,370,275,934,870,052,885,980,190,234,474,891,071,075,775,411,
336,616,304,932,364,479,124,016,982,435,242,257,352,129,366,639,983,391,456,
551,431,606,172,527,844,554,959,687,435,329,035,534,713,981,497,267,188,206,
299,374,739,388,437,360,742,382,160,708,174,768,341,865,283,555,545,451,255,
416,409,160,063,191,876,544,124,153,346,856,189,521,378,471,889,644,008,964,
021,191,752,928,001,191,335,478,277,801,408,839,474,138,231,696,563,385,859,
480,139,231,628,877,016,668,330,975,081,500,272,467,881,682,568,622,007,779,
435,603,609,827,240,964,594,831,363,564,536,859,320,123,891,952,034,206,595,
983,194,936,679,684,326,947,182,577,075,195,738,923,219,176,480,312,884,684,
639,009,492,634,305,286,711,487,548,585,972,855,320,814,161,797,203,256,130,
702,519,988,936,983,595,872,119,066,085,553,740,690,092,074,318,182,514,137,
813,929,259,937,984,490,230,348,700,979,150,726,271,804,546,291,020,687,224,
142,494,597,695,959,254,292,168,159,943,613,740,694,673,069,381,826,722,832,
814,819,099,525,271,687,470,793,910,930,007,304,796,283,842,908,829,414,554,
132,494,453,016,403,880,497,528,524,404,422,366,270,375,607,358,611,159,068,
728,235,586,001,740,609,622,953,692,908,612,518,489,733,832,409,345,992,012,
257,066,990,392,056,632,567,801,711,640,114,638,766,542,943,607,405,963,209,
541,052,947,294,122,483,096,297,437,079,966,783,980,989,712,520,411,777,666,
393,306,538,991,403,500,323,665,454,504,958,005,724,024,267,927,474,773,714,
267,694,945,278,371,752,471,910,479,093,739,574,438,774,455,616,242,261,127,
438,578,805,093,927,208,099,649,110,779,853,500,462,718,720,872,348,596,389,
301,697,042,193,230,765,656,152,755,380,244,358,222,736,901,821,881,147,772,
856,289,519,509,147,539,286,088,593,965,910,194,764,858,459,781,921,186,858,
371,509,431,520,074,381,439,630,465,151,473,230,439,890,413,424,803,476,377,
949,533,391,048,100,571,710,073,967,530,864,774,876,419,222,928,747,542,324,
174,971,353,829,385,911,942,757,629,912,774,639,739,198,857,473,059,588,630,
655,539,688,090,647,363,507,043,736,530,483,790,236,209,169,772,160,918,465,
432,746,119,268,484,374,282,993,635,211,651,375,122,727,148,021,139,539,227,
262,546,528,980,868,404,136,680,571,777,354,712,969,835,321,607,620,012,063,
090,272,830,655,636,609,395,407,620,556,981,031,174,526,906,884,764,507,917,
803,438,521,909,945,823,054,994,157,369,244,706,402,471,860,264,821,666,968,
303,163,493,895,535,076,869,857,993,421,200,931,277,531,210,520,992,342,295,
675,230,836,017,344,664,997,671,177,458,878,652,224,958,847,174,645,597,216,
083,400,867,562,811,188,820,091,579,897,708,559,724,298,706,799,796,618,360,
319,842,495,578,505,658,378,953,922,024,027,151,192,933,205,263,984,340,082,
730,523,080,607,346,218,574,228,473,154,252,534,975,276,540,423,969,416,314,
075,338,070,060,675,329,387,611,877,383,206,205,666,073,098,318,376,926,249,
882,049,022,158,666,751,816,257,959,684,994,453,415,396,361,742,395,100,408,
328,944,528,012,553,776,141,400,045,404,750,961,478,495,963,662,684,389,451,
890,632,987,261,963,948,553,507,485,657,296,083,972,268,165,300,782,788,955,
182,503,998,450,878,362,011,903,283,660,845,238,454,705,435,520,353,067,775,
354,080,045,953,848,200,086,267,996,557,469,303,689,524,006,524,677,293,797,
173,796,506,636,918,081,665,084,491,048,380,603,251,055,764,060,263,372,104,
509,631,782,031,944,455,328,876,237,293,163,783,527,312,388,064,196,503,826,
914,234,359,395,604,913,893,264,246,016,666,760,764,864,812,558,987,420,573,
489,072,980,646,579,740,988,198,408,118,147,272,803,878,290,007,839,109,032,
486,684,092,398,812,683,223,259,907,797,631,873,921,358,607,866,914,537,328,
248,360,752,580,690,507,736,619,530,902,722,520,684,858,262,436,885,398,010,
214,244,042,971,154,534,495,417,061,964,240,233,283,157,742,358,929,059,890,
346,856,912,307,432,284,963,205,759,177,370,504,925,335,962,260,971,475,487,
537,726,955,705,364,916,611,251,374,954,043,467,236,019,185,343,134,290,623,
863,220,715,418,464,218,812,658,281,706,250,413,553,925,199,523,268,646,713,
447,676,046,507,507,752,354,261,476,002,299,193,438,394,732,233,152,343,120,
007,652,294,461,615,846,498,567,313,153,006,103,998,536,387,754,891,247,760,
293,436,693,648,514,564,581,455,474,751,096,332,202,314,192,681,752,688,015,
218,944,229,495,327,456,581,219,219,893,395,877,489,041,131,518,149,072,242,
146,502,146,155,944,361,907,664,265,461,600,144,117,865,205,866,224,192,375,
419,906,705,098,653,355,012,243,174,056,704,851,570,319,262,836,258,738,601,
512,499,659,660,722,261,055,216,340,581,596,137,878,823,367,914,625,605,458,
375,328,054,442,546,093,354,279,904,963,232,646,811,596,242,815,265,210,474,
982,726,630,248,574,687,072,140,824,695,872,223,226,865,048,523,118,869,488,
466,551,453,070,715,022,202,885,482,843,038,038,567,068,103,876,568,678,822,
908,074,797,609,029,502,511,771,944,612,147,224,556,128,999,357,419,002,966,
072,844,486,669,124,732,036,543,891,034,431,911,529,036,097,157,629,583,817,
749,915,769,662,896,148,390,035,261,990,808,887,376,388,150,445,775,311,694,
462,058,167,457,817,344,324,832,907,641,485,259,611,624,631,861,901,581,673,
796,543,360,760,690,558,187,026,257,797,320,037,599,052,406,090,925,566,604,
196,935,270,057,989,638,734,363,945,408,651,639,221,684,896,196,706,719,112,
515,185,822,737,285,512,298,484,546,712,297,562,927,218,334,699,327,426,320,
877,194,101,509,043,507,839,922,275,214,783,397,068,217,324,793,935,737,015,
099,970,572,058,622,367,412,718,427,162,288,145,221,763,038,431,712,861,298,
301,377,541,867,075,104,193,305,831,464,376,217,379,693,634,238,856,407,871,
885,226,472,714,967,401,072,766,651,546,589,946,729,090,715,090,690,900,347,
958,017,346,515,111,986,390,324,487,640,489,866,892,811,660,376,658,347,610,
886,153,535,736,006,073,575,865,804,517,425,554,715,807,414,124,666,926,007,
395,319,953,112,893,509,668,733,514,713,035,742,297,332,463,349,532,622,447,
145,001,351,895,026,885,654,642,598,842,482,101,812,322,202,868,454,908,593,
235,003,009,128,513,916,936,109,517,164,505,479,258,203,732,277,383,743,282,
158,267,195,902,011,046,973,481,727,646,019,112,138,518,155,320,169,884,879,
409,148,134,949,725,795,777,657,412,078,871,993,205,656,249,817,947,728,360,
690,475,799,117,869,705,229,073,746,758,005,250,740,893,126,822,163,428,187,
030,347,238,363,331,785,179,103,554,578,052,717,219,035,631,710,369,303,731,
727,928,888,127,181,574,779,183,551,043,130,555,332,074,517,080,552,145,080,
537,531,536,868,125,573,147,837,177,220,841,556,011,186,465,588,677,455,658,
354,139,244,805,720,363,938,188,348,008,113,212,517,603,484,261,411,645,123,
579,165,000,641,015,536,350,144,020,795,682,851,474,273,484,918,828,736,788,
821,645,564,827,311,097,926,936,093,921,655,632,823,329,314,223,280,633,069,
530,590,782,598,850,358,009,306,404,870,056,760,555,981,604,839,318,323,059,
200,532,408,865,220,562,341,668,778,062,412,101,736,370,784,310,869,331,191,
587,418,506,795,198,344,137,600,078,158,510,956,763,535,702,618,225,727,513,
227,582,080,675,820,631,838,403,579,420,440,374,049,954,833,461,430,984,377,
298,627,655,572,205,970,039,318,842,191,925,126,046,084,351,762,154,280,358,
006,507,475,738,920,649,501,995,778,910,092,189,571,990,220,869,615,210,650,
979,200,262,108,964,182,902,966,885,338,199,848,477,315,946,001,835,600,895,
814,586,396,888,979,725,082,193,871,004,028,340,369,333,277,814,057,831,622,
945,759,142,916,720,914,319,570,258,946,392,312,020,628,372,870,576,506,602,
907,257,474,991,906,609,750,393,734,958,982,844,971,280,929,390,002,777,892,
148,791,981,322,422,985,904,282,056,645,246,354,552,833,730,461,279,971,505,
955,867,516,545,757,259,982,180,783,749,781,185,741,395,836,123,075,841,073,
205,911,341,452,928,331,957,205,015,525,963,182,267,583,078,142,361,328,063,
644,963,459,464,002,886,313,631,566,646,283,041,655,496,992,403,664,276,788,
660,988,619,183,768,410,337,553,385,818,961,929,899,350,310,394,852,214,562,
396,537,480,973,967,285,143,667,978,914,284,542,346,776,023,392,113,138,829,
560,053,389,595,547,614,963,533,780,442,023,536,623,634,112,449,810,893,145,
068,100,941,001,957,412,469,267,240,162,609,998,246,764,296,000,039,834,798,
463,365,885,988,531,191,441,178,158,681,740,495,758,279,205,188,513,515,245,
311,634,740,698,268,266,724,622,726,633,030,124,899,043,754,797,136,788,676,
080,579,691,185,007,689,224,588,031,228,507,223,702,030,067,038,490,589,538,
589,362,876,241,343,579,179,045,180,923,036,222,310,939,488,628,126,856,819,
347,663,740,211,713,089,718,583,573,780,550,389,538,402,407,748,364,781,554,
061,221,152,915,663,263,756,884,674,268,092,162,489,510,058,793,779,937,728,
591,380,284,929,153,995,917,130,360,173,375,667,192,798,742,678,261,953,827,
803,123,629,135,981,398,620,294,876,780,763,408,518,624,584,714,878,337,910,
980,996,884,157,266,438,720,400,743,351,923,992,488,356,610,646,725,473,381,
620,878,433,283,581,552,525,610,080,537,889,046,989,241,667,453,180,517,441,
939,104,304,212,556,827,729,198,619,233,708,050,165,182,027,714,000,067,789,
044,208,846,938,444,107,882,948,189,576,536,994,802,565,314,838,761,034,360,
155,015,460,764,509,135,355,967,665,985,014,984,701,888,497,990,402,351,208,
492,200,990,783,837,339,957,817,373,876,897,613,341,313,670,667,691,037,053,
167,625,138,277,843,657,104,480,336,406,050,339,475,848,967,289,652,009,704,
646,530,596,492,767,460,352,620,167,980,994,326,923,342,037,272,616,552,180,
118,225,561,171,344,017,464,004,105,355,703,643,743,266,006,762,953,319,993,
578,825,609,296,474,872,112,050,847,772,408,096,969,804,190,836,066,154,783,
729,036,815,313,876,733,573,297,244,615,687,784,615,393,544,257,244,609,389,
977,969,621,821,287,016,079,999,922,130,139,349,742,669,228,949,037,974,824,
884,882,632,605,398,322,981,234,943,912,674,789,510,450,956,104,084,573,382,
462,915,196,038,562,484,574,901,790,049,493,627,733,071,251,076,136,922,304,
914,362,408,254,025,962,433,372,603,827,731,694,863,337,075,313,327,606,061,
070,304,266,050,990,438,808,798,974,328,525,731,021,549,071,103,645,535,447,
220,240,764,518,562,650,000,636,612,607,338,927,568,468,027,935,718,911,555,
039,871,078,421,290,497,094,873,642,335,504,734,775,845,512,043,339,416,990,
119,692,523,316,705,854,703,228,438,470,410,685,723,618,830,890,332,021,969,
701,253,761,021,352,890,191,555,056,520,488,796,752,529,851,404,405,600,646,
127,638,951,327,045,663,840,301,168,016,034,650,108,579,818,425,011,809,604,
076,627,832,260,352,111,016,598,309,550,634,544,850,963,965,477,898,638,003,
209,120,808,966,666,626,772,895,184,428,230,315,266,127,614,315,525,234,056,
761,775,256,354,660,862,457,668,295,594,205,552,275,417,810,815,366,535,063,
121,987,739,701,878,841,279,696,140,310,521,425,604,392,084,590,887,363,533,
032,686,934,982,429,795,803,593,299,826,814,210,079,695,459,605,553,042,526,
942,203,790,510,846,508,995,769,079,969,679,219,788,878,902,903,641,305,677,
444,284,212,462,986,625,407,316,861,614,578,045,850,891,657,161,624,453,030,
782,198,925,347,183,779,316,594,162,602,092,384,301,501,145,370,966,688,140,
070,188,734,462,828,540,397,077,374,396,528,761,948,299,421,343,421,153,665,
609,800,513,047,087,012,131,825,699,647,658,334,949,925,367,032,748,936,588,
947,395,759,282,021,782,472,236,726,543,538,704,905,270,154,276,335,168,834,
277,264,414,967,045,085,262,669,830,627,294,987,331,604,478,425,256,311,089,
354,500,221,501,387,923,562,988,087,413,992,325,646,674,877,294,993,952,544,
869,760,830,414,950,654,908,078,943,711,578,872,624,456,358,195,024,178,784,
952,548,487,004,255,077,372,082,414,451,012,594,920,619,538,744,709,608,317,
551,826,721,644,699,189,966,550,272,402,718,401,144,559,217,502,492,165,581,
664,792,795,279,455,817,248,658,313,209,484,183,170,659,141,986,667,381,972,
623,244,376,455,192,044,974,602,038,596,078,358,012,012,146,469,121,222,844,
526,288,231,426,956,230,405,138,527,270,612,934,016,105,196,392,262,120,584,
030,350,009,034,700,335,634,353,290,991,531,910,764,324,695,729,657,770,182,
391,375,341,595,015,347,369,505,538,236,257,262,560,832,593,567,204,684,499,
362,855,833,738,160,944,309,307,781,466,861,293,023,944,371,154,033,174,805,
944,605,511,511,441,834,464,584,367,864,733,998,839,196,041,533,730,669,489,
403,698,296,428,206,816,223,687,994,702,953,678,452,295,356,946,845,039,397,
018,334,449,911,728,160,541,404,779,281,691,740,280,480,540,028,382,571,561,
597,057,933,799,302,406,381,623,496,822,261,389,258,699,375,332,542,711,726,
607,329,378,182,406,950,378,614,056,121,349,343,977,488,403,323,082,157,461,
270,262,618,224,104,554,502,270,644,934,399,810,780,243,678,279,333,376,384,
985,072,938,777,890,608,729,970,491,758,387,272,411,997,918,365,363,915,674,
352,282,653,684,897,513,277,423,474,011,395,621,476,009,696,743,506,508,119,
568,549,402,191,156,585,441,316,237,281,698,105,449,641,623,603,252,832,941,
461,500,388,021,310,912,784,333,506,492,219,445,995,636,775,181,669,681,676,
824,843,556,791,206,602,330,120,428,707,594,735,222,508,554,143,929,207,593,
834,709,175,805,064,633,167,935,613,120,068,407,275,697,064,640,405,709,545,
113,892,525,029,931,783,593,231,266,958,682,703,393,870,632,450,164,081,841,
787,887,669,574,810,551,502,577,731,592,058,379,685,246,752,209,134,646,221,
144,232,441,153,593,491,057,105,833,619,061,159,438,146,624,621,122,561,682,
928,111,714,179,077,109,817,984,911,669,821,212,672,478,041,280,716,324,997,
448,300,248,395,525,259,624,968,586,116,514,464,555,801,392,331,373,131,584,
166,728,690,606,995,249,609,180,429,318,127,529,497,681,952,386,171,904,730,
429,377,692,020,662,747,612,177,549,602,449,364,718,053,472,202,561,632,830,
720,448,007,050,839,912,178,907,655,256,335,870,194,871,035,105,678,186,162,
933,292,870,028,597,055,836,770,573,146,218,315,728,731,652,972,590,224,496,
119,844,189,563,210,936,464,579,139,377,817,954,429,657,869,383,240,701,698,
856,011,877,115,809,396,806,902,103,025,895,330,781,069,637,991,454,174,719,
048,309,473,237,089,218,419,652,461,939,960,366,548,923,011,861,982,943,292,
483,184,177,423,970,301,917,454,700,298,179,189,244,528,002,843,442,732,080,
578,504,347,512,853,128,587,763,742,922,976,926,092,385,916,057,869,996,605,
344,954,013,374,889,069,986,751,592,008,792,291,111,755,082,354,889,520,359,
462,253,983,780,795,733,502,280,508,261,959,722,441,628,753,430,535,291,776,
007,598,610,377,243,609,373,377,374,940,958,407,650,856,668,867,419,117,157,
132,022,582,091,693,212,074,679,215,234,046,753,387,987,252,637,868,579,195,
766,677,574,871,159,151,475,277,299,847,165,360,728,985,426,277,271,152,427,
810,246,258,359,032,186,397,102,196,079,196,099,040,938,168,791,476,603,780,
030,219,825,146,015,508,515,333,113,799,118,225,583,191,384,419,843,760,672,
659,211,265,859,830,945,203,671,579,251,702,855,494,036,121,511,209,671,597,
752,631,781,814,220,236,879,799,816,831,681,333,857,154,190,182,196,464,096,
756,178,301,303,612,486,581,301,301,068,858,560,176,670,885,401,691,993,116,
050,989,740,152,706,760,512,041,170,066,948,289,235,417,683,406,183,294,095,
493,625,382,986,128,820,807,753,194,624,364,991,005,315,604,995,483,280,555,
516,671,779,501,536,679,401,867,854,176,353,968,965,769,987,198,146,112,389,
741,350,017,516,171,684,714,213,419,993,496,367,485,272,508,524,531,333,910,
080,474,243,265,303,709,483,621,325,767,783,938,365,129,800,025,820,744,864,
806,012,075,719,617,467,902,541,057,383,998,116,127,504,020,265,402,786,162,
158,448,855,113,366,661,691,307,009,002,466,043,501,374,832,992,151,791,906,
262,450,327,587,946,494,328,259,442,025,773,304,804,747,830,471,756,733,428,
356,315,164,756,557,660,971,201,664,777,519,985,449,622,569,673,479,247,595,
580,672,071,016,120,016,518,152,183,756,939,172,375,233,686,040,096,271,364,
975,655,191,506,525,110,813,934,728,657,948,680,234,820,868,104,668,956,977,
726,657,503,168,216,074,961,603,212,441,160,234,534,562,132,185,555,842,282,
147,802,159,086,841,523,965,631,924,943,946,536,310,399,488,847,056,657,239,
129,435,056,618,901,232,432,693,714,390,203,347,784,456,857,872,627,137,322,
779,852,469,128,932,275,851,240,189,814,105,344,068,815,351,240,460,359,979,
384,293,239,657,461,600,296,511,602,367,057,087,800,595,458,369,254,733,063,
103,607,700,336,203,464,570,989,624,539,603,283,774,888,196,002,908,610,034,
728,799,367,969,542,204,093,791,631,935,541,411,974,511,690,504,508,841,632,
917,421,299,245,841,014,860,892,555,025,601,930,226,164,303,141,487,130,268,
207,609,062,780,630,821,812,414,810,593,098,747,295,886,057,510,521,122,330,
551,482,841,072,101,239,510,006,772,097,900,527,404,945,365,295,498,210,915,
867,467,202,763,048,648,736,048,926,273,309,402,982,482,882,154,435,767,825,
112,654,993,278,524,396,442,277,148,866,545,728,357,780,087,926,253,343,896,
993,145,944,376,511,375,679,515,204,628,446,080,784,426,496,040,862,245,912,
947,118,885,109,327,851,224,698,081,492,602,548,893,191,826,369,954,821,067,
147,892,705,193,830,947,887,758,676,188,246,744,841,218,635,869,000,717,328,
607,828,170,255,672,021,672,125,912,766,679,563,745,221,796,584,848,441,898,
265,787,446,422,214,237,158,320,724,662,609,855,921,944,754,449,368,260,451,
416,196,422,241,406,259,304,191,934,645,161,438,084,971,929,776,615,487,134,
128,217,073,028,421,413,167,706,389,412,694,229,640,296,163,614,125,296,374,
076,818,696,619,681,724,881,638,716,805,151,191,963,427,365,400,057,164,159,
918,928,825,099,817,422,771,955,739,779,256,155,181,491,145,084,035,817,270,
855,467,156,220,133,737,086,999,790,945,849,710,199,605,087,277,067,257,931,
383,469,351,775,518,806,883,326,616,536,646,046,174,417,453,870,571,389,042,
280,750,510,990,436,277,321,267,598,189,798,972,787,536,130,559,934,390,009,
883,731,041,415,530,607,077,321,690,722,484,814,738,553,550,627,955,029,365,
868,464,553,225,331,777,224,629,703,044,587,463,524,616,954,040,613,736,795,
529,874,877,206,697,151,646,607,270,899,179,473,930,073,705,586,970,693,368,
752,473,608,749,952,882,830,323,152,722,790,297,768,912,693,918,732,335,759,
622,345,201,663,428,918,894,960,220,751,634,022,177,462,466,868,528,241,292,
450,234,514,574,965,287,512,168,779,394,095,876,506,393,271,658,626,313,505,
724,044,922,560,074,157,289,459,528,444,194,436,385,982,985,560,800,993,182,
134,364,531,396,977,718,991,953,185,126,524,869,494,950,960,417,632,085,425,
498,972,669,549,291,739,340,368,644,419,972,500,379,219,040,659,258,550,207,
940,956,330,427,715,303,240,826,809,501,047,906,444,087,996,152,273,710,629,
460,052,666,644,179,691,537,595,191,593,619,871,378,731,801,963,579,332,146,
953,437,470,145,845,878,163,582,573,361,333,123,050,528,987,755,156,765,975,
033,577,623,928,932,371,020,985,933,599,277,985,165,619,910,649,728,224,071,
246,850,103,103,290,931,799,309,135,925,264,989,935,034,544,613,774,899,681,
008,380,868,409,439,438,207,122,024,573,911,490,746,463,171,476,545,425,607,
147,774,567,836,646,779,058,701,543,677,601,933,976,418,497,786,055,464,574,
389,536,565,043,070,723,567,787,792,884,685,249,703,579,523,735,387,405,025,
839,481,223,026,416,229,646,641,451,954,805,453,718,582,939,362,718,167,189,
772,890,255,427,211,770,647,871,161,404,151,209,042,948,599,830,125,492,844,
845,780,790,780,008,225,790,186,750,345,303,500,752,042,617,786,081,368,520,
922,832,792,992,251,604,590,518,434,934,276,927,324,779,989,808,164,971,504,
506,410,897,906,733,005,234,569,183,340,490,819,508,124,197,047,105,217,802,
059,294,149,152,756,477,428,431,016,863,061,784,574,859,248,201,950,856,038,
509,896,464,574,821,257,023,836,038,882,075,212,210,517,424,008,912,427,119,
365,713,907,070,619,400,349,756,606,833,624,334,763,447,367,236,954,516,094,
377,343,700,615,986,815,990,999,750,441,203,632,921,963,570,350,718,379,476,
660,191,022,074,264,896,685,750,755,153,832,391,354,227,998,957,438,801,033,
106,968,135,969,007,757,519,971,598,832,401,436,409,164,396,154,221,827,318,
608,771,115,315,081,625,276,573,945,735,771,346,241,970,489,768,992,558,739,
413,465,706,274,020,427,042,862,015,740,183,493,812,467,899,637,129,203,662,
613,859,693,199,735,292,011,947,807,114,427,279,618,859,843,828,616,602,177,
261,879,370,550,867,123,710,745,480,718,304,522,314,165,006,986,545,782,565,
562,397,435,851,222,157,017,861,432,176,770,942,198,329,983,754,535,410,886,
149,349,362,260,135,779,546,642,857,037,480,332,330,814,045,339,219,216,513,
750,412,576,711,965,374,382,838,582,580,134,327,517,305,838,976,847,157,771,
471,947,734,080,659,700,711,642,185,616,636,271,819,334,681,373,397,029,401,
252,692,224,187,621,141,747,971,570,100,338,979,715,947,325,045,795,676,114,
536,535,102,598,341,755,974,449,555,801,661,848,487,977,443,194,596,682,539,
579,288,761,787,258,572,781,830,444,959,599,354,322,295,771,694,262,410,206,
520,439,320,062,650,978,065,963,712,175,825,783,097,883,085,205,125,864,057,
099,849,124,022,726,579,505,989,117,024,861,764,166,379,851,913,188,925,933,
337,486,873,575,836,212,646,424,800,944,895,331,229,945,481,447,844,057,746,
461,074,914,400,716,880,701,887,323,566,552,499,180,956,962,911,279,141,260,
523,187,963,023,338,431,122,140,928,727,935,641,646,641,043,865,628,554,925,
373,881,181,210,369,383,056,274,822,224,774,188,066,514,799,173,462,408,534,
678,030,779,046,884,493,026,592,060,093,241,437,285,502,946,649,527,935,684,
244,407,984,953,089,324,890,814,659,969,385,112,418,750,438,561,553,857,090,
747,761,280,170,956,674,854,726,297,445,665,549,776,835,705,510,893,070,856,
009,768,089,309,922,933,772,315,901,402,003,015,871,230,222,912,798,967,071,
967,216,355,660,694,174,823,982,220,253,644,950,769,878,569,858,270,800,576,
209,013,541,166,136,946,546,296,896,053,952,163,626,091,911,768,162,021,286,
605,753,691,993,165,989,338,262,972,150,709,683,580,506,655,143,383,820,320,
241,768,969,356,283,538,111,445,759,099,252,010,306,647,508,006,228,390,505,
077,811,092,804,838,637,933,604,214,053,114,912,014,954,914,111,717,985,933,
732,261,074,877,903,401,349,964,000,477,475,303,249,269,008,376,286,219,877,
007,506,001,002,868,664,371,946,776,562,063,834,512,951,561,547,171,663,783,
071,439,036,803,713,567,131,895,592,432,985,738,716,599,261,847,960,437,740,
131,485,908,129,086,481,236,345,018,201,153,527,745,628,882,640,367,686,267,
130,551,640,077,196,917,107,199,742,407,807,872,870,427,034,299,616,647,916,
560,115,092,016,885,508,063,880,637,654,952,552,990,401,445,297,801,519,253,
064,422,148,676,608,949,814,881,842,500,004,396,792,521,116,908,528,576,413,
942,419,146,892,269,327,250,268,531,288,853,217,246,337,338,676,021,900,369,
925,127,085,364,459,381,223,338,967,331,140,702,488,083,210,560,715,431,216,
689,139,975,925,563,690,170,098,855,796,191,687,174,959,849,079,070,360,223,
072,619,825,399,302,032,960,734,218,001,300,934,244,172,687,089,098,000,531,
398,758,835,397,770,433,459,548,498,837,217,598,605,406,663,133,355,654,061,
480,779,612,487,616,724,304,571,578,786,448,448,112,978,123,618,368,763,464,
200,154,686,732,763,075,204,447,840,805,587,285,746,985,373,814,174,368,514,
964,607,741,770,400,389,859,387,043,196,288,604,545,407,922,993,862,635,311,
562,964,068,607,557,068,222,908,922,045,845,201,017,959,414,493,604,366,747,
623,780,668,629,875,573,072,308,636,606,380,679,249,864,554,637,837,747,644,
210,418,049,733,722,332,064,862,166,456,268,975,583,938,855,788,360,407,942,
986,547,808,794,751,396,760,954,933,030,093,974,600,980,774,471,548,778,562,
224,430,776,271,142,566,969,445,765,360,947,529,833,593,494,404,907,632,271,
725,552,493,889,940,403,183,149,855,657,228,154,306,290,943,795,691,438,905,
707,798,677,685,958,176,526,365,275,946,483,416,535,289,008,916,094,881,744,
231,783,880,886,978,640,391,523,571,824,802,455,846,178,663,243,536,646,384,
836,666,481,128,746,753,313,138,748,906,292,249,370,825,741,883,497,874,550,
593,651,126,422,983,617,935,584,686,282,202,946,458,849,934,752,031,187,143,
737,570,552,160,781,669,953,714,045,925,356,581,149,253,671,206,723,379,642,
656,870,505,178,013,132,549,847,511,193,872,554,021,966,244,807,026,801,299,
980,267,301,313,796,074,356,539,416,886,582,905,782,741,730,143,277,671,779,
967,639,677,779,425,807,730,466,959,224,861,333,225,028,731,575,625,301,949,
304,779,645,666,670,443,985,524,881,322,448,634,213,472,733,471,994,269,802,
285,809,592,139,738,215,192,114,385,147,057,672,256,731,858,831,722,542,719,
732,476,873,395,700,073,721,270,447,231,749,538,434,323,241,564,924,366,916,
535,598,342,091,725,632,842,590,490,448,725,545,383,511,115,069,351,496,415,
514,805,747,100,964,241,249,359,031,881,790,603,048,420,012,151,727,205,469,
425,116,000,236,094,177,639,752,051,542,563,863,177,961,123,109,022,690,589,
052,636,783,858,550,519,497,776,810,859,511,559,377,894,276,487,526,659,021,
272,926,775,552,340,261,796,238,468,240,899,264,351,420,603,864,661,317,868,
785,019,720,087,297,663,601,436,671,606,904,232,744,197,919,812,638,120,077,
501,051,288,319,211,507,295,529,628,834,841,141,612,842,404,524,216,808,974,
270,446,187,340,746,605,902,240,719,072,486,492,430,897,654,607,348,097,460,
046,341,805,434,074,525,506,474,392,842,471,678,119,997,133,948,200,772,265,
959,881,455,150,444,575,512,317,574,288,625,960,919,085,512,525,741,550,404,
466,069,588,660,474,075,122,315,215,530,830,008,638,867,202,759,657,511,553,
044,515,229,245,964,880,884,509,042,763,385,614,576,867,945,756,930,452,385,
177,814,481,450,830,139,717,865,832,517,545,792,292,154,638,378,831,565,554,
738,127,710,463,674,975,738,851,574,986,627,430,281,067,292,762,626,878,317,
146,890,848,490,105,228,952,784,271,266,445,629,904,823,844,758,296,543,414,
161,027,966,363,149,968,978,593,117,007,835,842,761,967,520,018,934,086,452,
390,281,154,620,812,547,801,494,896,105,625,799,554,215,494,110,062,644,696,
727,958,145,570,307,888,871,237,886,788,485,306,070,345,643,529,306,750,297,
627,769,814,273,508,062,880,147,377,992,181,738,116,289,825,289,274,075,572,
265,506,059,527,478,331,870,062,274,531,629,520,946,849,192,233,504,827,033,
372,638,682,892,386,679,166,711,438,884,991,395,523,762,737,709,921,585,293,
497,566,233,560,682,029,335,260,996,943,708,736,586,604,219,408,752,780,296,
566,762,663,646,887,051,417,577,148,082,268,436,494,355,458,153,035,513,001,
280,465,964,971,894,302,675,347,902,342,202,554,511,804,576,421,020,453,811,
840,897,622,434,092,070,340,773,118,638,018,497,800,931,895,133,533,515,667,
127,424,761,424,253,759,257,387,827,411,055,455,888,867,894,490,268,419,007,
077,229,576,714,683,904,479,094,700,022,034,262,515,646,682,423,688,813,376,
605,520,448,385,211,428,841,588,740,730,986,707,507,577,254,317,327,341,492,
728,428,362,614,366,365,301,154,812,072,300,691,003,834,890,272,306,889,214,
653,506,959,281,277,918,533,795,682,635,806,796,874,085,885,245,999,354,141,
519,390,685,780,241,582,049,165,784,851,370,395,989,635,034,151,381,227,976,
579,242,450,326,727,177,333,236,073,708,205,903,605,038,821,521,033,789,172,
593,710,810,248,275,889,070,951,851,980,460,972,978,116,355,445,226,201,721,
641,097,271,873,745,790,276,786,494,760,920,716,520,992,156,539,337,911,769,
200,246,049,305,907,947,638,574,719,342,185,238,669,481,350,021,807,638,279,
716,215,549,706,586,275,711,325,754,678,975,672,744,114,543,207,631,864,138,
808,661,971,542,010,847,240,203,872,143,560,564,100,002,953,189,991,271,607,
972,554,874,093,087,571,899,763,673,459,039,468,964,038,349,007,684,981,767,
052,145,799,232,904,115,742,177,057,444,387,916,892,167,134,470,621,066,859,
567,106,033,512,803,320,121,152,250,687,593,556,369,978,074,859,763,237,588,
111,230,833,615,548,871,499,344,255,978,090,764,180,882,418,451,718,910,325,
538,132,087,427,739,942,422,681,976,057,236,043,124,130,597,670,742,959,336,
128,943,279,434,060,358,644,613,974,031,089,723,221,014,106,875,230,697,496,
969,325,671,745,517,869,032,903,433,286,897,446,533,210,903,418,048,769,841,
819,300,326,487,107,669,739,440,623,062,812,478,664,485,732,697,327,266,789,
662,975,573,086,156,108,739,197,902,554,422,229,970,125,099,757,765,638,094,
031,013,068,313,651,938,667,959,907,925,095,313,623,132,392,290,962,794,558,
504,730,273,281,211,588,489,062,836,465,322,432,596,214,899,365,483,609,720,
622,027,229,784,625,638,279,001,020,620,645,709,676,430,483,262,376,722,880,
281,977,288,661,704,262,249,496,588,540,742,277,678,603,768,060,489,571,460,
997,719,362,166,641,802,413,187,525,536,477,336,947,399,064,041,516,480,214,
121,451,533,768,089,472,565,383,023,869,928,489,368,603,520,484,038,969,693,
976,405,717,697,661,879,401,279,200,759,451,418,771,231,118,009,207,072,648,
117,662,742,993,123,506,050,671,427,574,121,804,588,098,036,840,524,318,436,
096,699,295,494,680,137,224,297,463,550,023,510,139,779,810,679,029,863,681,
535,595,387,358,319,363,812,728,039,912,568,833,744,992,685,739,710,901,762,
812,397,425,490,695,411,283,991,545,033,558,669,467,918,002,622,078,055,764,
148,002,606,528,522,612,990,586,882,537,813,969,430,648,443,941,623,017,517,
636,813,099,588,292,898,193,568,552,868,098,759,198,107,826,607,056,732,801,
365,179,748,205,532,332,978,087,909,584,964,844,131,928,415,374,931,235,075,
880,181,392,909,214,150,178,668,548,253,265,377,882,215,120,969,259,999,130,
870,808,617,631,844,881,722,071,474,987,202,414,527,844,818,159,509,217,062,
817,065,521,240,514,157,771,897,005,303,150,360,782,667,032,213,561,494,181,
037,390,407,524,893,776,346,822,246,283,475,118,609,820,629,803,598,734,879,
259,483,341,434,677,277,108,147,352,154,651,812,876,678,628,695,175,914,873,
869,976,682,743,029,466,704,164,023,512,909,547,453,622,886,350,853,618,790,
283,868,625,502,649,222,435,116,354,811,969,508,612,460,380,862,645,707,830,
575,942,866,812,688,613,912,160,832,485,680,887,004,651,511,509,096,871,090,
041,843,001,945,889,953,927,611,901,830,794,366,308,159,697,737,412,090,825,
135,164,041,759,801,370,854,777,630,925,221,189,202,181,357,693,356,435,690,
913,552,433,336,569,453,453,726,980,418,343,219,227,871,173,401,557,546,208,
041,314,071,287,135,517,700,269,501,841,478,525,495,925,260,770,481,580,341,
621,472,929,197,282,438,355,992,648,195,478,590,038,084,742,812,730,007,533,
251,101,066,952,572,365,537,458,706,619,115,129,204,224,831,297,973,584,446,
839,948,965,056,875,968,009,979,493,806,785,406,400,789,814,857,452,412,134,
185,419,160,923,711,335,088,322,411,327,236,951,567,031,971,872,480,643,314,
549,073,862,683,361,551,617,143,886,675,518,306,629,506,485,737,824,328,483,
886,596,469,865,617,506,510,727,404,136,728,854,394,258,972,408,848,166,426,
091,879,841,713,720,329,802,959,335,377,983,894,079,817,485,454,791,676,922,
884,120,478,561,721,737,986,466,188,768,245,437,464,870,656,836,993,872,920,
680,489,301,482,292,523,596,255,108,697,577,028,571,791,997,991,541,179,684,
215,909,294,786,595,342,996,516,598,571,010,824,685,544,497,887,059,601,238,
788,205,357,374,377,870,862,105,382,173,388,380,425,982,461,258,025,975,341,
437,711,727,759,306,932,427,305,025,770,950,341,758,759,097,721,576,620,117,
751,774,851,057,323,976,484,649,663,057,181,233,453,877,917,763,557,334,619,
841,751,988,045,570,826,683,371,042,779,692,980,781,950,191,061,390,886,578,
558,526,899,210,457,283,140,014,680,042,682,734,894,730,598,360,243,163,413,
861,801,785,674,446,766,869,496,944,804,658,748,044,536,441,757,846,565,083,
055,380,461,766,844,249,080,344,271,493,211,059,968,525,336,547,644,598,717,
513,849,199,817,239,802,565,618,666,086,724,499,542,950,751,900,183,566,758,
163,487,454,675,264,562,826,526,812,723,038,721,731,147,288,785,187,951,386,
809,622,734,700,570,432,834,261,261,797,388,837,404,793,347,578,964,553,223,
530,551,155,981,138,595,333,216,386,390,249,546,962,176,775,087,527,720,176,
670,243,973,254,123,490,911,740,175,382,134,944,229,001,823,235,440,319,467,
302,643,122,989,838,877,981,837,341,451,744,079,308,893,025,673,600,104,317,
563,937,227,922,271,786,349,895,402,123,285,724,979,131,376,047,064,349,271,
934,822,521,804,363,249,735,866,636,205,393,471,439,021,602,243,813,680,979,
259,054,837,321,627,115,793,825,829,660,311,137,039,819,711,564,468,288,110,
804,181,755,686,158,617,275,474,154,956,866,911,409,428,310,976,312,445,121,
540,261,432,823,166,502,114,901,697,503,486,353,200,840,835,897,372,296,324,
464,989,216,235,355,916,233,277,850,127,663,890,870,238,201,772,699,602,537,
766,408,123,935,829,236,488,752,290,079,610,599,321,003,361,339,490,516,434,
104,497,311,220,951,757,120,145,783,504,758,559,474,966,072,204,747,793,211,
650,063,237,259,814,426,194,579,210,769,468,925,329,421,801,778,545,411,229,
643,562,000,272,062,838,363,136,235,760,917,384,865,623,344,783,993,600,563,
616,576,594,935,778,113,064,038,415,642,380,520,106,387,982,615,109,771,480,
414,034,506,332,597,867,143,600,955,452,440,869,612,782,882,516,085,194,551,
155,506,215,439,372,495,451,097,891,228,074,289,118,718,916,077,779,172,878,
853,234,318,801,737,792,201,252,586,080,650,849,985,380,986,448,378,756,623,
412,547,227,751,589,618,525,824,689,251,067,704,018,284,804,646,858,459,863,
830,394,983,021,343,664,119,898,828,648,682,110,861,716,224,921,981,644,155,
568,341,781,499,716,271,213,742,992,947,409,754,239,279,790,593,682,757,529,
755,396,525,524,833,640,098,787,859,306,821,647,186,369,742,307,072,986,125,
463,199,989,921,373,039,438,885,665,883,699,670,945,433,156,503,836,133,641,
055,526,768,221,284,346,418,205,279,027,174,199,722,523,064,235,280,367,902,
390,707,645,179,224,586,876,371,449,658,041,607,587,441,684,505,000,516,010,
242,987,841,398,564,771,913,743,875,090,895,698,205,462,977,048,885,156,667,
567,608,028,348,418,857,081,782,538,505,450,658,871,658,663,966,315,242,284,
394,187,577,760,225,190,790,846,069,928,985,949,710,856,351,414,494,026,959,
173,770,521,335,480,382,658,730,746,382,917,695,055,930,406,970,043,596,032,
758,589,479,871,590,863,732,078,629,244,969,553,803,502,447,949,685,314,868,
443,661,342,482,861,952,950,526,845,938,463,196,976,117,241,956,628,552,730,
566,156,051,688,526,472,259,767,339,166,337,499,897,335,488,774,295,786,144,
842,228,856,773,174,817,830,092,394,576,729,839,458,632,094,590,820,379,368,
190,689,086,273,859,434,517,811,179,881,499,164,598,945,972,443,792,559,306,
167,005,091,800,734,575,066,918,586,588,652,298,750,825,014,959,343,828,556,
885,023,992,191,764,262,739,356,873,970,875,804,433,046,037,100,581,777,207,
184,285,964,639,706,154,810,290,392,931,441,625,169,596,424,282,519,684,618,
806,932,342,277,055,957,792,838,665,115,136,328,943,678,973,328,938,993,532,
777,828,213,964,431,739,527,234,803,411,432,907,598,492,968,100,871,062,651,
137,514,787,805,816,231,208,039,678,143,628,894,025,445,565,317,547,917,531,
055,079,846,562,366,487,299,584,672,343,832,948,157,127,734,727,046,147,155,
185,236,878,440,693,103,041,987,512,196,506,403,119,881,245,545,487,720,168,
200,968,004,212,880,170,635,255,552,790,719,048,626,725,281,795,670,151,170,
859,954,830,452,637,184,082,039,273,063,340,271,851,529,422,556,305,489,641,
734,699,975,306,050,957,026,812,591,473,957,713,535,680,845,911,674,410,526,
065,994,689,067,334,083,180,190,185,301,592,855,470,187,122,965,906,508,886,
544,169,770,721,909,953,206,041,118,717,608,352,740,808,144,177,155,730,683,
295,239,134,333,014,167,525,176,810,682,911,124,721,130,508,582,370,694,280,
108,186,276,827,308,707,615,131,783,980,426,422,848,219,638,775,141,916,199,
406,953,352,479,212,653,834,607,630,252,392,382,768,554,937,601,427,407,758,
348,376,519,793,509,856,871,191,477,016,089,677,930,522,200,542,012,247,301,
493,994,045,235,897,435,548,104,066,031,771,814,986,486,344,742,100,273,168,
336,363,711,592,536,470,808,344,917,206,027,786,671,618,613,197,752,325,300,
240,503,371,222,346,689,816,856,430,377,368,958,139,732,868,082,204,571,673,
334,820,678,694,581,116,709,886,527,095,372,260,915,575,348,180,327,562,390,
561,136,230,136,736,582,361,949,980,005,067,013,365,136,205,605,038,315,126,
578,858,024,222,193,813,708,848,589,465,300,368,951,598,623,352,293,019,476,
810,105,513,723,931,615,417,618,199,250,666,612,406,738,706,185,479,930,868,
555,348,652,726,694,244,300,060,629,534,312,347,525,787,213,713,266,830,880,
344,071,847,309,816,851,130,198,110,397,734,148,901,630,242,452,341,921,734,
399,864,877,654,737,902,302,307,435,842,875,526,396,425,697,450,373,754,936,
454,989,223,545,058,279,401,854,396,572,353,792,068,046,791,550,850,868,050,
168,865,837,041,129,171,102,320,867,376,384,783,103,783,650,046,704,630,411,
866,473,873,106,701,975,000,916,498,881,554,620,137,014,404,802,077,203,349,
713,069,848,685,168,131,088,641,775,065,692,108,255,307,979,545,569,521,623,
309,155,235,654,493,831,395,763,124,277,067,551,331,442,034,154,363,332,098,
536,654,382,506,090,125,060,725,728,642,801,013,849,590,535,153,481,441,610,
142,188,763,408,423,771,186,228,431,105,411,985,074,767,908,832,499,494,257,
420,649,149,142,040,063,492,472,941,805,114,788,978,174,751,657,318,057,784,
125,136,703,426,613,700,226,665,480,041,401,946,744,596,117,783,229,189,713,
530,131,095,943,897,539,549,550,108,650,821,206,253,175,379,158,112,192,360,
234,457,143,348,202,432,026,603,368,429,996,306,229,990,941,342,352,153,435,
270,729,749,957,662,809,513,745,247,688,324,505,688,533,603,123,477,636,218,
952,163,951,864,623,495,634,126,525,594,425,352,856,396,993,775,233,452,621,
665,542,187,628,756,424,452,959,295,566,892,368,423,688,176,079,724,326,524,
409,514,363,855,574,580,487,876,729,925,959,324,232,118,619,820,117,254,489,
810,406,838,629,425,819,675,368,882,653,188,487,192,614,553,324,789,584,189,
251,900,371,405,935,680,628,975,847,087,272,533,040,554,103,005,230,736,634,
339,048,218,632,067,856,722,693,253,748,309,259,262,452,495,425,265,884,941,
714,102,368,791,828,085,537,611,094,334,180,040,168,620,288,555,453,484,293,
551,668,430,537,304,315,876,007,022,691,563,394,385,068,142,247,088,694,364,
933,676,940,037,456,617,222,175,564,654,989,642,021,331,520,015,543,202,281,
245,561,138,119,325,520,112,903,284,522,822,470,224,040,445,246,765,292,472,
781,772,536,922,261,837,929,095,624,552,339,698,606,837,147,947,845,177,846,
331,875,633,635,850,873,641,693,091,040,166,853,305,004,597,614,044,311,989,
432,317,191,008,205,306,644,128,854,370,305,052,058,590,213,370,918,994,562,
871,831,841,272,704,138,314,174,802,587,234,655,637,471,853,064,143,809,312,
616,190,111,763,355,781,601,691,239,705,766,496,539,478,081,191,095,278,822,
123,430,551,264,769,436,038,787,403,488,997,526,768,011,781,029,886,612,733,
452,535,230,348,474,605,762,087,695,848,762,306,349,107,850,896,433,787,133,
430,538,834,502,852,388,120,849,545,614,106,904,929,281,666,463,418,171,942,
376,507,470,929,154,557,252,237,226,167,853,496,624,087,218,463,780,366,425,
007,454,767,027,163,368,157,060,455,495,235,849,378,308,651,050,379,148,678,
117,837,669,556,495,657,491,409,520,082,583,382,122,614,593,866,545,978,250,
728,063,555,536,084,810,255,295,708,874,592,906,783,330,294,671,501,635,965,
368,030,091,224,486,369,677,279,330,757,398,781,669,143,850,033,166,971,560,
728,542,054,115,342,678,174,513,311,213,068,555,591,061,451,850,449,868,030,
377,692,141,076,268,617,679,770,834,552,210,831,531,801,811,160,516,353,135,
679,724,993,088,709,517,663,321,331,797,158,612,537,677,677,693,726,871,436,
426,951,775,614,295,750,998,095,062,728,509,802,060,187,937,606,861,219,683,
490,892,785,519,077,155,614,368,417,820,849,337,102,654,141,840,369,154,677,
457,678,560,774,073,987,514,221,915,387,262,948,061,113,433,094,013,742,245,
758,144,817,682,015,882,607,903,177,428,876,854,462,399,241,713,917,664,965,
611,608,267,182,222,928,439,248,543,347,824,506,296,656,180,129,192,535,334,
418,198,924,918,610,127,205,520,634,667,167,483,126,301,237,628,037,733,789,
885,770,355,699,210,294,808,223,201,555,646,303,623,309,524,505,084,554,712,
780,434,755,589,426,185,359,884,739,180,121,768,675,054,338,439,806,776,632,
329,318,820,430,858,831,826,081,596,456,698,017,387,695,569,846,015,163,328,
287,221,914,224,261,838,679,613,990,565,190,655,788,507,843,278,874,488,956,
366,458,761,763,136,032,154,182,722,216,205,576,696,807,843,698,870,431,252,
636,181,444,841,731,929,372,877,923,492,551,627,705,531,835,601,938,959,510,
093,544,253,711,360,389,191,237,865,124,980,470,864,638,478,642,498,543,863,
845,998,260,707,026,428,684,496,916,269,673,844,801,464,291,616,017,721,536,
040,222,973,675,952,355,232,723,904,929,602,209,777,676,086,982,797,331,005,
624,315,858,813,310,352,870,399,537,011,245,948,114,398,063,996,168,492,558,
858,854,929,710,113,519,344,145,551,010,183,474,170,452,727,864,278,551,413,
330,864,974,335,809,262,852,912,284,571,641,736,849,705,877,069,497,877,228,
753,931,208,424,383,059,458,277,269,619,109,378,076,827,898,813,466,781,132,
710,530,326,150,957,811,549,944,575,227,178,467,445,963,726,892,987,221,895,
608,066,793,742,340,501,066,803,244,921,465,102,695,614,874,885,003,470,823,
339,960,548,301,080,278,648,576,385,407,499,536,250,536,378,099,914,039,207,
726,048,463,131,240,905,783,333,839,358,819,482,456,324,617,559,166,030,789,
842,585,907,362,554,076,625,603,801,666,796,374,417,684,019,035,448,877,286,
176,800,450,751,760,920,140,012,149,199,610,264,050,960,428,461,509,900,731,
647,276,929,811,999,667,081,308,102,568,461,930,910,574,703,740,839,934,009,
900,643,077,836,320,479,693,216,609,330,378,654,411,397,400,647,953,767,690,
773,766,776,951,033,348,179,303,573,706,863,933,783,234,651,606,831,417,749,
717,383,508,316,968,864,072,891,615,008,262,571,900,774,736,237,878,394,582,
214,824,503,342,197,807,387,577,063,398,243,412,876,089,829,527,188,153,015,
370,805,882,545,418,244,085,860,518,701,422,309,443,486,184,038,652,551,215,
172,847,091,671,338,089,949,517,597,836,566,672,352,522,626,710,282,558,246,
034,333,819,137,412,495,537,337,537,981,549,949,149,573,742,962,449,888,009,
019,253,508,265,185,332,323,307,967,399,415,879,522,592,625,327,321,522,745,
038,402,744,300,641,145,611,712,644,125,361,378,562,962,832,045,881,150,575,
121,277,291,408,649,269,017,748,702,798,183,028,814,281,498,114,130,403,798,
721,810,887,828,190,758,312,168,886,984,487,563,492,110,219,130,993,390,941,
629,612,574,910,807,751,950,954,439,411,376,054,169,340,336,557,866,903,252,
956,444,987,975,811,304,798,141,025,127,325,151,085,655,010,197,029,548,020,
146,528,761,719,531,372,547,883,111,956,813,646,486,044,605,485,790,412,200,
180,311,379,931,317,708,128,759,145,519,677,561,669,800,106,963,704,540,604,
947,626,721,526,523,455,998,941,210,731,402,212,346,671,506,951,402,745,114,
473,453,945,351,872,019,435,806,840,167,223,823,687,937,678,105,753,805,456,
777,681,859,875,696,541,473,216,558,658,734,694,855,827,326,923,206,151,892,
118,081,704,917,422,606,660,471,728,818,711,825,727,749,466,721,276,085,739,
236,866,474,484,164,733,218,682,446,858,958,924,822,149,300,121,587,686,741,
381,557,568,632,035,619,105,994,353,821,168,664,414,387,552,231,615,863,016,
318,868,151,446,381,174,771,413,546,667,937,056,856,714,117,403,590,211,215,
448,655,031,853,108,261,354,880,685,756,989,534,873,278,761,698,956,156,414,
165,466,411,163,662,194,097,911,129,269,960,009,760,839,308,881,503,237,544,
458,222,899,059,586,547,171,206,704,979,420,856,452,672,271,859,718,643,222,
494,806,349,052,741,091,373,969,634,645,908,713,149,636,784,974,675,239,611,
161,797,473,178,335,263,437,775,490,335,747,925,589,284,397,947,145,854,275,
125,517,343,078,972,299,890,940,025,361,438,817,828,959,890,913,380,324,026,
434,600,646,949,305,226,787,748,897,442,125,633,098,145,181,745,086,004,811,
282,817,991,845,765,071,951,620,762,423,269,107,445,565,424,842,628,004,316,
055,156,891,907,824,817,225,192,067,435,258,500,945,879,321,611,603,201,436,
185,408,800,361,183,028,509,494,451,947,688,357,124,933,517,815,751,559,326,
436,118,286,204,788,054,386,725,606,754,007,340,548,986,495,288,581,337,593,
726,277,881,292,349,757,138,051,349,965,604,760,230,483,971,894,956,346,695,
282,423,576,209,450,326,599,844,747,899,405,700,626,659,432,155,292,000,261,
656,860,917,023,301,374,642,749,476,040,825,810,559,966,085,783,384,217,111,
520,369,492,682,956,501,463,458,435,406,930,617,209,529,459,458,809,447,745,
599,003,214,555,288,885,803,809,039,951,155,087,794,286,998,363,327,644,774,
256,170,059,070,037,204,073,456,799,329,029,611,256,085,248,496,769,220,559,
343,636,034,721,782,009,768,197,757,487,734,775,180,435,779,635,597,156,524,
338,338,180,251,110,868,318,228,617,481,959,344,527,175,350,936,094,275,784,
186,116,601,077,140,311,706,079,630,523,005,541,589,320,894,984,553,094,017,
648,433,600,105,831,968,889,053,566,617,656,663,116,500,403,059,170,085,441,
314,451,070,302,487,428,214,845,051,411,058,619,831,972,070,047,872,301,452,
473,622,066,016,451,863,773,814,668,451,970,552,582,443,757,873,102,878,828,
470,408,428,865,660,131,519,901,255,045,006,916,799,813,190,991,578,706,460,
269,122,011,204,436,806,525,372,664,421,825,309,661,701,046,736,117,705,009,
408,080,537,176,129,927,518,312,655,317,147,017,400,129,173,466,158,943,855,
712,876,892,246,238,899,302,776,749,667,819,195,150,127,557,313,833,683,948,
938,225,971,150,591,678,967,836,714,435,555,572,168,625,722,359,398,877,699,
947,437,146,675,471,459,137,160,321,344,446,407,844,530,059,692,432,810,868,
971,060,998,427,248,346,222,058,406,804,382,817,495,158,603,838,324,617,824,
787,316,247,044,928,027,638,332,316,754,772,181,414,441,902,650,383,260,353,
818,102,635,331,918,093,085,603,543,390,618,731,589,295,071,523,036,795,709,
868,781,114,247,942,552,731,885,039,000,708,825,708,395,488,628,696,869,312,
340,241,932,162,025,417,623,200,173,530,417,880,680,695,639,372,564,475,702,
572,246,567,807,190,800,572,092,042,313,083,194,794,661,762,336,730,626,785,
288,875,627,799,651,331,536,947,485,076,572,470,264,843,495,191,554,773,014,
792,968,715,649,489,914,820,382,187,109,863,269,257,613,391,593,077,406,508,
214,565,118,098,254,111,649,019,858,120,906,234,396,961,825,399,992,072,108,
603,954,436,573,321,073,226,359,076,589,041,476,123,498,742,892,163,699,833,
685,688,878,298,872,901,402,975,815,566,294,061,017,640,488,110,228,556,775,
399,118,527,066,824,338,406,872,695,917,655,867,139,025,003,973,504,612,484,
487,922,229,608,489,669,372,040,337,593,794,970,712,196,743,131,452,830,975,
737,880,849,325,097,042,536,335,961,601,000,581,975,494,176,501,723,288,555,
495,554,282,300,649,950,282,372,773,155,175,497,375,475,570,953,992,460,021,
482,465,739,224,815,383,867,540,184,212,065,098,042,429,591,262,254,150,176,
837,189,819,112,273,693,145,876,097,236,998,709,730,159,199,570,590,484,601,
502,183,113,174,276,520,199,742,804,408,583,176,711,396,573,969,589,941,865,
891,698,985,470,771,033,045,693,721,871,143,080,593,203,467,089,947,174,400,
160,855,194,721,764,392,345,468,661,413,085,168,254,820,104,801,396,126,901,
004,999,852,640,674,815,027,284,689,081,143,840,484,256,954,803,602,265,982,
998,416,983,983,026,246,530,514,978,357,918,081,002,317,127,646,101,999,792,
520,417,730,519,625,993,836,113,378,304,596,236,699,246,920,500,898,495,246,
529,156,407,910,115,839,439,744,517,869,606,732,331,691,202,204,954,234,488,
737,129,909,702,217,952,150,809,621,283,312,925,160,379,925,536,145,620,197,
245,474,890,966,702,315,959,602,620,656,124,050,335,875,957,902,179,488,286,
832,025,722,037,809,391,293,383,627,868,547,456,366,742,026,904,669,610,234,
036,931,693,712,782,563,472,899,387,074,394,507,423,834,675,500,596,117,945,
198,167,817,258,949,943,593,675,676,722,332,231,777,542,133,497,754,199,957,
675,051,803,144,442,257,186,109,282,639,169,230,162,866,004,411,148,257,923,
610,042,186,943,899,974,710,413,189,714,066,120,118,500,613,683,289,064,862,
333,594,676,959,197,357,272,220,921,576,984,256,528,761,330,579,164,656,085,
473,438,544,797,765,630,630,405,222,742,709,167,124,181,669,075,230,730,772,
392,281,828,083,594,724,841,727,639,682,721,219,782,709,560,288,239,831,034,
970,508,554,221,911,210,800,815,685,698,283,014,555,365,697,209,257,166,725,
679,640,769,243,264,034,930,074,822,627,598,838,167,931,168,576,146,408,657,
914,453,126,199,580,813,029,624,329,000,182,610,574,785,804,577,663,585,814,
960,691,599,170,594,608,496,842,887,299,816,106,560,491,582,934,730,554,990,
011,365,290,526,615,123,353,060,985,406,909,118,463,091,910,338,086,745,756,
894,894,387,180,871,824,250,919,576,024,607,952,106,368,040,334,737,635,171,
895,985,339,722,824,972,918,307,563,252,413,475,009,300,751,927,927,870,267,
200,167,264,363,003,736,379,622,499,582,035,483,928,360,660,624,399,717,354,
635,493,704,130,078,099,203,514,146,143,770,117,507,876,379,754,557,964,829,
129,399,213,946,325,729,815,186,113,674,955,349,967,041,828,394,789,175,314,
965,364,470,716,417,818,851,714,302,203,216,043,003,389,826,274,825,013,063,
629,685,140,657,924,725,762,179,336,047,342,077,731,786,831,279,114,221,971,
523,662,324,986,092,244,742,771,046,678,091,384,868,691,284,863,560,324,783,
411,212,041,890,118,955,706,334,180,708,894,937,483,217,273,682,040,974,139,
916,578,974,133,003,470,468,166,894,672,102,258,100,169,759,623,922,078,034,
776,750,109,942,821,193,065,770,092,353,537,260,040,231,863,315,967,078,216,
925,913,867,136,837,857,490,844,762,582,632,537,970,519,758,491,664,012,188,
229,460,686,798,008,241,485,155,566,249,690,358,866,435,305,595,278,814,024,
691,715,405,905,564,740,610,822,798,564,664,817,951,498,369,592,674,135,260,
435,024,747,356,784,415,554,048,418,788,215,614,007,767,896,512,535,678,095,
713,035,342,486,653,521,137,081,596,261,583,318,609,087,438,608,098,463,110,
794,280,819,321,481,522,738,935,846,033,385,729,091,231,931,150,672,191,686,
160,071,896,838,071,293,917,277,887,604,237,806,401,405,827,020,163,908,164,
126,872,701,939,297,541,557,426,006,782,935,791,676,386,961,808,499,700,176,
327,187,924,266,228,119,023,691,666,964,249,447,865,296,362,308,827,414,696,
979,231,998,970,732,896,091,234,124,533,846,823,597,240,788,618,701,990,002,
383,047,375,896,635,820,822,370,151,685,397,177,053,821,446,999,414,847,204,
508,204,115,950,573,143,719,640,356,081,437,559,495,023,671,677,438,429,482,
159,836,414,239,258,885,327,579,234,390,338,623,217,547,737,435,043,683,549,
891,052,644,600,756,344,117,729,796,488,793,690,056,492,183,357,826,059,778,
876,177,307,188,367,625,958,412,523,776,179,970,378,293,342,990,363,536,427,
498,914,789,071,955,803,836,297,302,227,979,397,679,518,821,535,306,155,959,
284,655,848,894,174,739,412,227,426,956,004,147,046,285,231,160,490,029,475,
553,265,355,066,621,139,874,655,562,630,160,201,862,651,824,890,854,867,862,
911,072,225,634,093,432,057,377,498,439,535,039,622,758,049,473,167,931,578,
917,678,143,281,926,142,268,926,924,823,134,186,310,601,439,601,148,028,751,
255,031,509,354,948,045,565,712,163,415,125,107,892,178,188,937,763,492,633,
310,235,742,651,957,272,927,901,389,643,433,434,646,633,959,892,845,446,756,
690,047,175,616,133,001,748,328,011,252,372,656,696,374,250,547,334,930,715,
139,088,265,160,405,672,128,785,141,635,838,187,012,579,643,344,053,770,271,
615,961,490,356,831,264,502,845,915,119,217,207,165,152,594,249,276,314,064,
428,702,549,777,989,657,281,402,251,634,366,015,300,730,561,752,158,172,139,
414,164,826,001,478,618,472,413,750,887,501,506,634,047,564,683,733,137,008,
083,985,471,558,700,398,500,006,633,103,582,283,595,798,658,933,202,425,775,
250,109,438,942,541,483,335,618,572,019,372,911,004,653,736,186,629,492,495,
883,605,054,795,509,320,293,730,184,033,987,723,302,133,757,047,158,321,859,
862,754,477,578,396,755,699,744,722,975,173,460,358,202,954,348,177,598,297,
798,303,472,847,373,017,216,132,872,241,548,135,438,874,574,880,116,885,894,
686,432,089,185,096,426,478,979,522,767,446,808,245,715,292,546,998,580,737,
700,400,134,609,651,921,188,575,834,923,132,485,623,118,990,067,967,654,663,
943,681,592,060,116,466,839,166,314,689,284,382,863,979,609,533,842,741,646,
906,654,559,831,624,556,857,884,294,950,940,958,070,973,216,619,222,719,802,
043,202,269,422,623,040,842,146,653,116,824,614,142,203,839,107,025,551,612,
318,643,364,982,780,731,096,108,997,396,201,026,917,377,864,384,919,953,230,
684,235,762,271,644,142,992,469,053,546,752,296,896,943,245,684,177,816,771,
247,002,905,548,503,829,210,519,096,073,207,303,897,955,850,062,082,243,283,
187,938,385,942,552,757,817,436,377,142,011,840,556,350,838,505,200,136,061,
959,495,168,860,861,887,099,434,381,617,240,269,357,179,182,726,794,782,866,
149,948,483,066,523,769,778,004,685,621,379,122,618,389,809,629,193,698,319,
869,056,678,242,740,812,659,581,505,858,104,784,748,713,543,689,766,425,217,
390,541,074,425,214,350,873,093,969,557,955,557,189,856,966,894,282,221,190,
905,365,573,925,300,917,130,742,531,932,234,451,854,570,722,891,670,974,772,
562,938,111,205,657,345,683,254,321,245,943,204,558,669,538,068,562,569,711,
149,820,866,593,694,325,603,258,060,364,523,056,315,959,827,211,439,689,309,
288,985,017,501,895,775,525,330,158,802,293,653,377,204,132,723,859,157,562,
772,720,204,631,078,450,844,858,963,580,530,149,609,532,810,827,169,138,439,
142,495,867,060,658,939,610,241,847,192,622,660,757,523,430,767,155,458,098,
588,711,857,961,440,725,325,593,224,304,450,706,900,888,575,083,523,325,184,
779,574,597,123,238,786,049,260,273,196,802,444,293,473,393,207,904,989,442,
473,105,709,462,433,134,006,333,927,944,406,568,659,452,929,572,707,507,084,
226,065,319,211,792,268,137,973,723,115,465,767,226,046,326,366,020,287,267,
119,538,047,597,611,780,260,283,252,013,347,971,120,686,114,224,552,210,455,
588,736,841,205,938,782,678,090,782,090,622,521,041,272,505,955,860,070,599,
779,747,274,038,239,664,122,786,144,168,530,464,469,460,576,620,185,885,733,
141,382,861,873,131,644,644,398,458,380,756,257,856,446,618,727,345,104,928,
753,243,268,242,847,877,375,725,688,543,364,319,729,560,633,465,319,111,952,
975,136,236,642,999,868,424,095,968,723,898,526,875,262,679,891,915,302,456,
153,625,603,599,288,349,044,879,700,819,000,716,642,792,814,966,391,512,837,
126,931,350,083,325,571,945,455,577,326,415,213,212,860,038,512,273,975,388,
234,919,929,155,205,073,334,537,881,745,605,299,730,202,837,321,549,452,356,
273,680,896,657,660,835,047,613,198,253,338,873,064,683,306,175,451,632,748,
283,875,773,123,053,923,303,931,525,538,219,307,460,766,900,761,178,808,952,
225,626,530,626,356,603,139,262,385,746,943,237,522,989,947,928,111,999,348,
747,617,730,516,890,708,335,930,735,296,374,946,831,235,127,639,447,217,046,
318,438,496,757,048,429,962,209,727,499,623,912,067,226,813,795,134,411,191,
632,534,056,678,061,192,590,662,491,321,694,229,834,764,447,477,851,009,932,
047,413,458,899,826,499,420,808,132,839,747,996,912,233,048,858,071,966,879,
693,884,795,275,412,484,567,393,831,643,025,426,278,319,425,711,795,718,657,
823,376,906,473,463,223,836,001,838,650,556,643,296,751,220,615,101,797,350,
319,290,511,941,698,975,335,793,436,559,713,244,200,214,231,672,132,605,894,
789,115,121,114,251,760,419,261,236,003,663,094,436,333,815,606,640,237,203,
989,280,785,837,470,013,670,441,007,686,950,351,764,122,468,995,619,602,059,
000,235,801,155,893,882,614,380,759,319,211,447,277,029,318,464,122,714,735,
264,784,737,125,751,492,153,408,923,982,412,678,970,568,648,676,732,329,184,
992,229,736,025,585,002,523,752,583,916,098,299,308,339,745,824,413,996,810,
868,926,855,356,929,133,754,094,955,332,545,193,466,945,996,843,345,529,427,
390,859,276,998,493,163,697,308,331,619,625,340,382,385,213,491,864,477,242,
786,891,429,286,856,896,238,116,830,268,851,818,590,229,693,609,132,961,567,
328,130,866,228,118,982,505,944,624,289,242,676,265,912,517,908,987,732,587,
558,518,895,377,394,734,728,757,476,135,459,479,204,510,408,230,679,839,708,
087,987,871,735,982,388,579,598,189,129,863,512,414,573,164,496,647,252,925,
672,772,709,531,159,776,087,948,285,426,581,558,154,340,375,420,362,045,732,
948,602,035,998,775,499,488,545,609,301,331,623,356,583,824,203,853,876,283,
436,763,948,827,942,087,086,088,282,745,339,441,434,946,329,715,560,710,851,
492,504,233,325,906,431,939,179,610,882,966,634,423,312,531,260,087,503,580,
062,031,254,465,292,154,266,118,017,765,724,606,326,444,588,763,409,214,362,
594,502,372,300,986,243,381,959,298,127,878,699,070,369,883,407,705,233,567,
058,621,739,195,702,235,189,804,385,945,579,453,354,752,748,386,930,754,514,
612,938,294,648,605,939,772,783,302,860,702,558,034,125,332,072,987,407,237,
949,242,638,037,250,015,878,428,280,380,337,513,631,620,500,589,470,960,599,
793,723,700,762,176,831,080,738,649,428,051,861,335,208,108,419,933,111,251,
813,950,588,096,312,485,231,176,432,276,193,163,588,015,559,885,359,737,886,
546,296,617,105,095,442,156,600,521,312,321,284,218,731,822,270,610,533,715,
969,035,370,432,434,160,067,340,267,083,210,449,633,079,080,234,073,065,661,
255,239,077,326,797,746,842,979,385,287,256,023,065,846,615,273,905,857,394,
440,339,801,129,411,371,373,142,892,113,792,762,124,643,037,819,873,879,729,
276,948,691,333,771,696,103,519,610,772,021,016,412,499,011,616,726,691,906,
002,241,878,188,321,245,048,469,984,678,682,116,450,182,893,315,745,828,094,
380,378,802,637,941,839,030,352,283,592,572,126,914,324,191,011,466,997,155,
117,779,283,465,673,375,600,591,986,370,710,213,188,525,280,221,308,246,377,
037,886,212,983,550,243,356,275,690,684,029,551,796,227,643,365,332,343,670,
617,847,582,565,926,297,373,501,854,188,831,920,229,724,394,879,915,288,593,
298,040,879,585,557,069,175,370,452,474,932,404,422,664,662,149,181,019,876,
483,446,282,895,422,951,016,205,117,402,055,798,078,967,805,851,791,194,707,
837,464,585,622,859,169,230,906,028,583,060,273,424,895,810,352,982,164,110,
415,798,207,919,824,302,998,128,374,122,316,597,733,710,289,242,642,787,598,
057,495,453,164,105,875,528,217,217,453,023,428,624,124,600,580,037,092,317,
130,462,060,002,366,434,080,469,737,096,167,995,625,178,810,435,662,429,214,
117,922,303,117,052,152,776,441,887,755,417,386,448,561,309,338,414,235,100,
718,744,687,486,478,266,257,007,112,369,417,929,908,792,093,142,045,298,825,
411,131,841,342,306,068,546,320,820,593,117,917,932,654,379,274,323,024,255,
644,637,204,494,804,483,639,112,784,757,532,444,634,879,291,072,883,248,433,
873,942,586,181,717,860,662,590,457,699,923,601,744,797,049,945,036,380,367,
756,419,240,598,647,664,865,614,207,886,448,150,114,652,005,343,626,748,184,
265,006,203,306,629,951,083,142,819,428,781,396,350,821,336,776,328,087,269,
042,275,423,421,247,869,186,584,168,505,927,258,068,382,175,803,394,084,154,
697,562,914,841,160,036,217,519,305,100,461,317,352,918,951,164,805,188,957,
201,573,262,967,179,679,765,206,355,584,254,008,469,164,635,091,419,504,420,
109,609,336,739,878,509,869,093,504,056,085,300,735,571,007,003,726,303,851,
200,648,844,996,479,397,152,764,575,731,978,529,005,119,448,533,447,458,669,
564,974,651,937,505,947,343,596,911,774,832,914,260,527,437,595,650,698,238,
576,735,968,834,392,452,945,967,564,146,512,139,179,322,302,163,048,953,282,
000,493,245,939,172,679,246,588,981,688,516,661,334,668,606,460,249,930,180,
223,479,895,341,481,166,906,061,402,135,029,887,582,121,041,283,496,132,214,
672,078,563,235,474,512,513,638,960,746,433,257,817,577,846,618,349,024,090,
368,763,782,003,917,772,018,714,386,087,420,947,191,724,351,740,182,641,016,
669,587,643,431,234,871,596,185,317,342,105,163,181,581,216,702,807,405,230,
143,508,836,548,342,677,940,472,035,677,906,916,351,604,984,619,722,706,932,
781,943,077,598,479,536,243,116,350,847,790,516,484,684,669,932,641,804,967,
965,182,243,064,098,106,754,632,373,345,323,806,909,852,218,205,920,657,259,
247,714,626,863,933,353,048,519,327,535,510,585,047,298,856,218,015,855,416,
154,218,257,424,342,728,311,760,694,294,263,338,385,006,720,429,481,848,280,
960,910,332,439,596,762,282,538,666,831,308,317,259,823,431,917,542,966,795,
929,873,772,050,851,696,139,237,869,458,925,373,740,360,019,931,976,066,243,
579,872,357,003,216,232,409,530,149,255,574,182,211,016,685,330,315,045,772,
040,075,458,600,531,142,777,605,915,193,112,333,708,840,463,143,999,051,936,
863,070,443,125,847,133,129,578,067,472,544,777,519,666,483,982,259,578,535,
164,150,098,700,621,426,263,676,119,505,291,164,371,489,058,904,797,279,990,
965,460,808,963,359,274,749,258,933,609,240,986,369,371,787,619,825,219,044,
385,122,625,273,902,007,400,809,205,361,843,172,278,119,171,942,603,714,380,
441,626,870,113,310,741,735,683,225,017,947,834,888,615,775,136,960,243,717,
844,498,738,547,359,381,433,802,053,856,551,780,044,836,325,897,895,793,392,
421,237,443,610,049,236,695,631,295,651,622,779,767,396,337,597,873,039,289,
470,540,111,208,116,165,143,748,235,963,386,976,944,085,777,636,591,687,323,
015,572,462,709,192,837,921,323,360,928,656,516,784,091,161,140,712,114,705,
598,575,160,184,352,916,729,551,637,453,318,163,793,654,719,931,510,568,850,
830,502,343,247,515,968,826,082,255,521,816,542,245,227,843,445,998,792,238,
249,670,190,986,112,394,816,477,396,240,782,598,016,700,128,875,948,576,185,
685,880,309,028,809,328,953,106,929,297,278,759,371,462,796,016,171,785,796,
319,890,887,829,982,568,456,406,121,301,031,513,992,730,345,070,315,771,893,
335,019,704,179,177,881,047,881,519,440,866,659,901,581,825,454,629,392,331,
499,659,450,691,875,878,272,616,019,297,639,758,528,612,855,099,482,694,548,
463,369,856,042,518,651,509,748,380,950,487,846,521,417,903,864,241,844,772,
319,592,703,871,707,393,665,698,926,845,242,577,788,989,067,123,390,974,972,
661,737,326,948,650,952,575,376,823,177,709,062,459,210,140,951,213,313,603,
955,737,435,418,936,930,711,621,913,213,452,593,390,302,249,626,600,861,651,
302,490,322,848,143,092,429,444,463,650,071,112,189,758,010,328,033,433,418,
082,656,487,601,162,894,605,797,654,672,102,116,716,374,406,139,300,641,314,
372,560,237,981,038,138,409,300,913,583,867,710,319,969,751,129,537,336,128,
644,459,661,015,126,570,729,788,721,498,493,194,916,618,122,583,658,695,160,
790,588,479,685,150,356,034,098,048,963,987,210,253,723,230,191,315,105,862,
161,856,101,907,272,337,865,568,299,767,682,053,533,710,262,129,692,969,549,
090,185,114,336,708,757,733,808,853,924,855,932,469,448,007,822,915,023,508,
156,189,389,958,102,157,628,951,946,740,506,948,964,762,036,323,995,207,020,
359,273,104,345,636,959,855,685,065,351,439,552,948,809,153,050,151,088,390,
895,380,896,135,022,277,884,723,490,601,884,652,583,618,951,927,735,979,135,
058,917,880,492,321,352,397,020,238,071,087,463,049,591,632,306,134,541,552,
011,351,627,453,891,843,412,531,009,912,122,175,792,481,919,881,483,502,880,
622,147,775,995,999,478,413,678,089,419,661,879,629,339,838,703,769,835,223,
513,730,717,537,731,326,423,391,884,843,514,048,615,642,302,522,628,286,464,
471,140,210,566,313,128,563,240,374,589,804,381,389,513,994,789,803,614,324,
883,128,725,962,209,880,621,169,890,655,019,071,716,701,974,966,436,767,534,
731,384,506,471,302,591,584,942,657,087,612,981,275,873,345,351,605,040,846,
328,774,301,731,179,027,092,924,379,381,405,620,358,327,642,045,211,903,333,
661,654,792,766,385,531,012,255,371,400,154,265,478,889,009,100,893,457,499,
615,546,686,171,148,270,989,348,975,345,777,775,855,050,689,054,853,714,640,
881,825,931,687,151,055,329,107,781,267,407,698,985,328,337,942,056,030,780,
306,841,099,503,752,207,225,161,281,137,390,235,770,049,183,299,395,467,424,
087,230,305,314,417,080,541,913,940,379,063,102,758,226,519,845,165,774,717,
532,161,076,544,803,067,988,373,485,639,946,073,473,000,305,084,345,886,310,
140,701,593,457,664,667,635,610,512,406,897,166,145,035,893,181,172,560,121,
755,471,118,152,671,906,663,125,338,438,656,423,912,912,134,630,605,701,652,
933,002,756,216,786,027,460,911,314,805,869,407,672,690,623,186,007,147,009,
815,136,883,430,217,473,118,843,022,352,428,925,007,003,035,969,862,641,524,
278,451,198,409,786,328,460,196,723,562,930,220,948,913,131,592,047,967,780,
891,995,560,858,972,834,307,028,765,924,313,188,094,747,143,717,943,380,840,
930,723,276,954,195,675,003,053,681,007,148,490,005,710,261,022,134,247,029,
885,567,672,488,417,695,075,304,057,057,574,332,465,136,900,097,125,146,539,
435,195,354,687,033,287,391,631,609,252,287,289,762,343,484,092,935,108,080,
703,708,685,449,403,340,412,152,680,673,320,921,460,643,872,037,253,339,816,
878,557,606,539,582,134,122,374,789,548,089,791,277,592,121,301,282,141,704,
961,689,580,702,119,426,181,637,257,309,371,953,678,979,010,156,831,399,255,
719,762,920,659,890,673,590,679,254,545,409,467,664,894,196,902,707,816,941,
947,161,558,019,771,130,610,117,612,157,261,689,053,226,042,468,472,845,024,
230,988,790,623,017,631,505,666,692,052,320,979,647,643,747,359,090,000,943,
791,323,363,326,889,335,645,024,461,746,222,224,543,809,976,809,032,719,888,
401,133,505,171,386,246,826,570,355,778,625,654,524,631,306,129,717,400,123,
124,872,645,439,490,025,223,877,523,649,343,957,976,212,914,412,839,810,863,
767,646,344,649,398,909,550,998,492,003,236,984,021,656,838,459,303,282,116,
070,563,560,969,695,494,828,179,547,498,303,035,392,732,271,764,753,452,579,
788,149,723,175,245,760,370,992,805,026,171,123,880,860,476,996,563,685,005,
197,753,633,306,261,304,103,337,976,435,438,444,316,627,274,409,753,611,299,
915,154,696,631,934,769,385,153,726,186,775,963,085,994,288,964,234,420,202,
940,591,154,300,016,080,767,644,057,653,761,025,332,810,050,608,603,199,345,
178,915,907,860,828,710,662,544,540,052,303,854,488,823,209,327,442,181,398,
877,697,154,748,751,799,300,319,384,525,326,134,672,398,021,572,606,372,924,
221,895,162,215,632,277,768,439,364,761,436,163,700,129,177,163,606,995,976,
271,875,619,272,411,643,391,232,954,345,778,412,520,000,963,638,798,597,914,
962,803,018,546,115,637,361,455,892,824,255,999,734,672,833,288,585,194,659,
244,940,297,538,509,816,335,597,831,086,916,939,942,737,205,448,506,611,083,
258,311,388,138,324,021,431,172,544,541,065,415,832,280,322,982,166,014,265,
523,978,514,937,368,862,041,422,478,966,541,587,000,217,095,044,975,802,864,
323,112,425,620,392,470,120,089,190,076,358,999,053,494,571,587,409,133,111,
295,173,362,765,762,844,869,262,445,358,504,326,516,552,463,349,819,887,695,
063,559,742,818,456,017,576,353,642,890,965,062,558,061,075,596,232,963,857,
633,167,944,355,083,307,608,430,820,144,454,657,324,689,198,646,863,063,024,
383,540,247,769,225,389,121,674,963,318,151,089,714,849,431,920,386,923,920,
011,301,522,257,356,932,819,408,148,962,521,774,677,178,245,510,514,088,734,
686,861,414,379,416,183,325,217,564,778,853,163,202,038,123,210,316,247,647,
563,188,727,322,577,107,015,534,888,419,788,866,767,860,101,284,053,035,961,
914,736,301,072,875,539,607,353,685,389,175,205,345,491,891,329,683,230,065,
079,264,767,359,145,463,375,500,117,536,258,628,046,186,746,964,055,925,025,
511,877,098,319,959,622,882,807,326,560,513,263,972,406,619,760,354,852,509,
644,332,092,732,739,700,288,717,834,024,560,109,143,202,890,539,918,491,108,
326,934,208,013,877,521,690,661,617,322,554,477,482,582,585,468,060,281,931,
430,152,424,880,246,777,118,513,608,431,751,919,828,477,175,061,994,772,737,
586,088,586,081,644,672,373,368,277,734,415,110,307,676,145,971,521,218,655,
992,945,022,113,169,357,272,414,568,051,021,696,577,270,202,043,456,626,022,
000,845,160,822,583,943,554,112,864,339,312,069,521,751,788,945,882,984,250,
016,643,419,621,324,472,176,552,495,485,446,977,253,307,753,886,484,862,618,
626,466,967,401,721,812,915,020,856,676,966,859,317,425,519,919,159,961,059,
079,751,507,790,367,232,985,332,832,795,037,898,277,026,721,971,943,926,243,
955,079,271,019,168,899,066,109,423,076,520,919,323,185,895,901,389,271,282,
307,313,222,566,782,731,258,656,806,911,642,148,417,085,113,053,002,180,036,
890,074,402,397,490,473,090,678,440,754,959,521,241,251,948,528,989,178,358,
519,909,116,338,147,418,839,790,537,431,629,594,495,676,340,396,612,402,176,
872,118,373,672,034,355,285,102,188,731,486,544,339,234,580,623,770,976,072,
691,505,424,999,061,192,872,750,155,071,091,572,424,055,480,119,160,958,080,
525,090,336,617,549,350,255,675,016,511,856,994,768,910,583,606,939,485,368,
634,904,897,733,333,527,169,318,362,627,552,135,193,717,765,269,755,560,419,
894,819,479,336,975,847,738,935,240,785,682,574,219,517,248,494,323,997,795,
130,324,772,454,710,615,820,421,532,158,678,585,485,196,989,962,456,598,645,
100,151,443,032,977,611,680,127,161,923,090,412,916,437,379,593,767,062,718,
012,164,751,589,779,335,710,955,618,827,891,132,235,631,716,228,946,715,662,
019,184,005,139,349,096,183,444,647,195,210,260,840,509,530,783,494,347,899,
370,448,422,399,255,630,807,008,002,058,338,753,394,976,733,057,731,591,570,
593,635,354,169,540,860,227,092,445,549,049,380,184,552,692,511,001,805,198,
863,246,571,091,454,145,154,082,585,717,839,026,170,997,168,042,333,706,625,
788,516,491,235,258,758,563,994,903,044,062,536,323,409,038,782,375,981,760,
399,641,061,678,696,789,518,940,790,169,932,890,441,003,712,456,711,484,480,
743,210,834,749,896,069,606,919,210,100,463,190,191,492,186,366,823,473,001,
984,583,008,301,150,644,214,603,261,002,298,593,897,389,878,698,806,756,743,
396,128,904,136,008,716,531,142,894,224,611,279,275,043,597,388,928,793,020,
441,368,593,528,843,915,677,556,727,545,892,087,988,417,758,952,938,044,620,
772,792,573,212,663,610,103,568,811,414,945,257,956,242,212,188,981,701,354,
256,635,173,033,636,040,826,447,239,226,631,679,799,362,203,103,085,664,417,
917,634,545,067,167,489,821,541,803,941,126,896,016,220,896,888,260,268,022,
509,065,377,692,975,714,645,375,453,847,094,285,525,606,146,849,377,138,105,
332,203,151,805,908,464,981,458,098,042,345,866,105,756,021,316,780,261,819,
980,489,296,180,168,251,077,743,797,052,776,420,061,841,792,905,113,662,889,
683,805,279,781,357,034,868,732,162,294,699,611,290,247,696,719,243,569,459,
494,025,857,269,957,358,904,228,180,168,534,650,892,276,204,271,111,077,432,
523,934,300,743,259,123,430,271,684,341,929,036,051,788,386,848,586,219,231,
412,754,043,643,101,477,269,393,858,533,729,182,385,920,954,627,818,557,520,
741,556,361,900,775,298,675,255,821,094,301,918,430,926,560,290,002,862,549,
016,643,953,530,402,610,975,449,999,939,651,786,392,195,914,120,182,128,405,
521,297,433,238,688,464,076,399,448,128,866,548,406,905,461,102,195,805,778,
272,405,247,308,740,906,256,592,552,534,360,419,802,132,124,544,596,143,688,
033,312,314,340,326,034,704,888,386,289,187,592,201,428,325,422,044,923,283,
931,231,671,653,433,264,326,757,994,622,194,654,633,553,058,626,352,721,997,
512,171,882,735,659,395,850,374,960,898,738,714,715,996,537,305,726,778,587,
413,591,098,828,490,175,774,601,451,752,487,137,423,455,145,801,389,794,739,
367,838,430,879,154,407,527,604,645,737,059,531,599,020,249,095,412,133,643,
779,521,256,059,921,095,925,307,492,197,742,283,987,516,100,277,375,296,885,
404,773,430,009,379,503,607,609,441,326,214,386,062,619,295,819,637,418,857,
783,850,209,709,961,653,389,424,171,371,105,991,655,085,342,738,530,363,088,
681,043,462,432,240,016,189,674,171,704,333,325,415,571,273,210,958,679,023,
945,062,794,161,111,929,947,410,279,590,498,581,767,015,561,210,687,017,225,
534,935,426,239,021,796,813,162,735,772,005,262,812,683,196,477,250,080,484,
349,944,069,943,604,644,914,554,182,921,868,689,555,709,052,982,687,014,776,
530,307,596,647,239,219,610,695,093,389,360,577,264,030,284,318,191,060,490,
686,792,663,751,358,376,423,344,092,779,379,433,801,724,395,910,686,379,338,
356,258,913,334,190,515,880,335,956,764,360,775,203,632,142,055,862,713,663,
026,700,555,822,656,760,511,365,422,297,788,448,750,126,434,646,885,779,269,
736,842,993,970,395,607,066,336,120,469,239,943,883,134,202,240,141,269,468,
529,458,489,187,497,818,260,936,342,379,890,132,252,709,498,213,859,258,991,
647,520,386,788,688,569,647,004,691,423,730,914,152,911,571,352,311,685,837,
180,158,147,887,337,341,723,063,575,811,837,407,826,463,610,559,161,069,013,
900,646,143,417,171,553,513,212,946,048,560,594,170,986,435,621,542,988,350,
200,351,573,275,337,654,419,449,682,636,414,579,831,660,006,484,301,949,721,
341,679,770,180,451,531,138,092,224,958,831,919,129,577,790,558,678,252,808,
969,336,700,437,039,428,221,711,524,200,161,274,073,225,138,656,463,534,731,
629,695,138,058,239,589,691,136,816,620,477,166,963,636,658,189,590,808,591,
452,104,857,495,854,260,622,772,752,373,047,608,130,361,216,200,723,114,965,
517,030,721,432,939,116,115,479,805,978,834,137,943,455,914,133,141,501,845,
058,889,643,340,854,034,188,077,816,025,878,543,329,098,466,920,996,261,804,
667,286,415,553,012,260,451,479,456,431,519,090,174,407,656,393,426,020,420,
420,099,182,968,254,013,949,451,883,855,558,250,031,954,741,068,041,496,637,
564,330,487,491,665,482,938,816,184,840,746,552,482,096,771,546,282,229,721,
961,075,548,421,263,629,454,581,521,730,193,553,074,055,292,937,228,629,050,
032,590,566,187,337,535,444,452,970,348,289,014,782,774,954,467,871,883,950,
505,515,384,458,443,151,242,233,683,003,773,196,581,948,450,036,533,914,352,
739,751,386,037,727,621,506,994,159,897,902,358,020,238,531,398,890,684,673,
565,457,608,934,599,949,754,520,814,531,302,696,416,794,959,965,368,086,514,
772,077,903,119,077,716,104,760,975,928,332,837,270,213,816,835,905,469,721,
501,214,222,125,999,350,893,740,065,545,789,431,597,300,515,648,899,532,081,
963,072,394,673,022,356,841,039,369,527,890,247,181,382,187,269,454,623,126,
464,855,983,848,212,533,532,770,009,620,501,655,249,675,448,244,002,533,363,
935,532,047,516,312,491,989,178,346,638,165,942,049,418,254,913,999,999,962,
263,785,140,353,845,111,414,467,140,699,212,870,851,867,867,214,050,290,413,
606,023,317,405,677,004,245,284,233,954,649,272,904,722,060,797,997,389,621,
795,475,899,209,358,704,320,167,205,240,634,570,011,818,206,455,277,180,106,
099,402,307,384,457,812,393,483,059,297,365,163,012,868,017,959,758,790,640,
024,224,629,117,954,446,770,069,273,235,864,461,125,627,400,405,672,569,314,
369,620,060,323,340,066,010,048,159,147,585,073,684,420,788,966,927,232,910,
257,183,031,410,043,744,742,288,982,821,577,661,079,428,016,690,237,396,457,
787,608,787,573,213,263,414,977,082,545,545,846,228,603,380,719,822,977,597,
459,905,914,482,552,406,969,571,379,295,409,201,390,487,056,277,556,627,644,
001,999,517,029,239,632,124,521,175,885,179,138,324,755,063,520,071,454,486,
032,893,000,802,677,445,589,847,687,044,001,341,235,667,163,829,754,103,707,
496,911,014,909,504,039,233,774,347,988,364,074,411,196,536,446,459,811,808,
158,831,809,009,095,435,954,427,711,256,290,435,265,170,914,070,475,526,411,
400,382,496,383,525,704,315,871,634,734,781,401,978,934,594,577,706,593,519,
449,274,354,913,612,204,656,166,607,849,103,326,556,040,646,601,384,592,927,
684,161,880,749,511,853,030,930,975,897,476,200,881,496,366,135,579,957,495,
108,563,136,169,610,213,984,065,816,597,600,405,351,396,947,376,716,431,687,
131,411,934,851,472,202,524,819,108,247,757,522,271,207,727,019,904,337,508,
378,137,288,951,124,674,654,329,559,697,156,951,192,165,889,166,933,586,674,
190,369,171,952,852,584,628,296,307,634,888,159,727,744,262,691,096,275,478,
623,293,293,596,093,164,999,225,940,839,013,913,607,981,572,055,102,502,987,
662,316,249,210,737,655,551,682,491,492,058,975,342,474,779,949,106,666,555,
140,716,094,238,553,297,606,321,263,836,284,489,713,861,602,331,263,149,045,
061,359,526,406,474,628,745,450,549,551,951,589,766,519,197,235,542,730,271,
280,432,054,025,532,532,550,674,752,257,299,299,295,337,045,506,223,028,016,
654,910,254,965,577,286,628,853,953,179,744,193,619,216,364,308,458,525,431,
070,053,957,130,269,602,719,365,252,931,174,694,092,537,284,971,645,629,129,
081,745,677,666,649,471,280,606,642,143,193,326,362,985,521,776,385,149,998,
173,235,033,921,244,853,280,861,408,059,920,714,306,314,670,936,914,886,719,
374,122,226,363,908,297,960,542,037,043,220,844,433,489,778,040,791,131,166,
985,827,212,022,452,295,515,773,400,284,656,634,478,679,231,636,396,118,848,
304,119,376,465,234,242,740,700,399,395,690,671,686,869,320,504,606,971,662,
412,210,698,899,174,185,322,993,424,634,570,872,278,794,137,299,052,003,191,
967,259,018,043,192,120,267,370,814,281,430,944,998,992,538,692,769,729,701,
063,264,212,056,933,536,115,824,473,176,086,688,513,186,702,441,139,569,039,
032,141,088,911,517,907,174,414,830,661,333,595,610,542,757,991,305,131,372,
873,696,190,485,198,320,824,404,885,022,340,037,676,315,829,739,864,523,668,
953,460,491,549,237,580,213,692,434,901,533,588,541,811,789,906,456,864,895,
986,224,467,979,849,613,932,596,786,765,969,978,206,621,608,703,924,022,814,
335,167,690,138,023,387,426,538,656,707,194,834,140,595,957,449,365,819,745,
383,919,687,696,076,948,829,255,295,717,441,882,241,889,402,626,759,142,240,
683,795,894,612,777,588,778,476,585,751,021,566,333,594,452,426,390,445,032,
059,594,313,550,919,786,997,626,488,812,417,164,416,081,317,714,295,044,326,
331,926,931,141,965,085,038,917,984,518,522,845,150,579,005,801,872,362,566,
251,976,781,111,854,436,732,759,692,718,360,280,735,531,145,565,043,448,692,
132,401,959,002,827,376,770,501,600,952,796,070,000,235,123,100,228,009,700,
072,883,857,480,824,490,472,470,726,326,142,626,176,161,720,030,202,975,204,
725,695,215,157,744,163,894,892,159,862,398,503,146,473,856,607,500,550,342,
763,291,116,988,476,092,635,857,419,532,606,286,764,392,798,552,172,247,647,
634,490,519,606,680,393,839,410,267,774,435,354,968,723,009,717,469,293,588,
025,013,266,870,144,745,923,853,951,656,779,461,857,076,621,814,582,660,788,
362,618,950,359,528,852,103,959,182,656,703,704,727,653,595,321,272,886,752,
271,012,949,433,423,636,750,450,060,366,768,282,933,305,487,705,823,899,730,
049,523,188,732,554,226,515,799,137,479,407,432,914,417,048,558,116,470,335,
685,814,983,036,017,538,777,236,981,364,882,588,948,840,599,520,678,391,556,
044,670,243,312,071,730,804,564,074,915,991,165,348,647,572,907,391,473,025,
834,439,308,499,728,321,010,663,707,089,849,564,231,362,547,804,021,056,136,
402,426,176,861,952,054,971,473,230,897,987,624,999,330,830,252,384,426,733,
061,059,417,142,549,381,946,119,615,661,547,558,247,570,296,917,118,659,932,
043,683,777,629,843,923,875,059,658,845,116,832,995,138,697,097,367,786,725,
762,727,494,964,067,031,402,406,152,510,529,878,839,072,602,856,902,493,393,
060,252,076,271,017,235,732,453,524,264,785,738,750,792,182,901,077,869,381,
867,755,269,162,835,095,788,884,578,323,529,342,314,784,770,007,723,739,388,
853,690,506,115,928,060,443,225,864,885,405,122,817,449,721,992,157,660,547,
028,541,153,933,189,910,085,804,948,710,696,772,046,108,151,899,751,820,418,
235,681,301,950,267,337,866,352,406,732,212,105,330,010,639,308,740,705,482,
023,523,965,544,604,456,532,638,776,206,033,058,569,567,430,906,020,051,863,
686,051,522,375,529,468,835,746,672,080,811,646,687,315,253,485,861,454,429,
935,991,390,743,300,649,437,069,709,111,404,450,204,204,459,765,176,091,330,
819,139,282,406,272,211,113,580,348,057,451,827,577,716,121,444,164,669,643,
644,599,671,211,890,792,792,212,703,700,035,723,606,127,531,263,127,486,401,
194,971,739,333,528,640,593,892,978,811,548,184,300,526,462,084,463,301,528,
063,530,123,818,633,954,342,728,012,876,078,365,115,250,430,998,875,527,456,
875,322,634,871,890,845,766,203,105,179,812,267,335,594,184,708,411,802,650,
020,547,047,180,380,294,970,629,451,111,051,641,221,253,167,054,597,863,199,
402,570,722,181,593,696,898,442,021,353,244,590,592,193,128,010,157,279,268,
845,498,628,322,112,200,384,978,581,915,194,103,122,083,901,478,565,111,146,
818,802,268,227,240,010,980,959,565,154,067,138,168,635,669,388,725,245,472,
225,859,383,826,445,256,487,464,529,979,706,538,874,638,935,521,015,415,734,
932,748,978,229,868,538,517,088,730,911,578,515,455,493,355,979,821,008,223,
266,644,187,792,067,096,199,669,744,890,723,574,045,481,994,717,819,090,817,
138,075,612,131,285,524,963,624,074,726,332,929,964,580,838,483,014,389,860,
217,693,027,265,059,249,847,541,942,409,111,153,801,855,936,775,353,973,712,
711,577,707,590,291,115,908,096,486,458,622,014,722,309,459,279,452,189,985,
392,787,067,299,538,477,862,618,914,212,700,799,560,013,878,713,724,871,101,
324,521,513,533,803,111,940,688,670,796,433,214,535,517,250,087,003,381,893,
098,846,989,206,240,362,623,407,821,629,586,199,267,727,247,546,868,991,349,
359,088,851,264,657,331,552,789,375,091,957,782,755,208,428,606,782,784,510,
008,512,427,046,513,931,586,287,518,252,349,718,858,907,648,508,590,822,564,
357,384,469,077,044,532,355,667,909,110,866,462,625,590,189,331,727,594,242,
792,547,333,024,001,360,384,936,200,384,962,657,907,968,845,352,564,288,349,
429,466,866,970,518,648,011,829,818,997,389,398,843,137,367,084,189,880,594,
873,867,664,724,735,232,799,703,239,747,762,589,828,495,535,461,013,830,317,
737,211,752,483,395,511,190,185,446,077,552,241,331,527,041,749,028,053,674,
305,247,647,797,178,864,806,672,174,076,283,416,262,233,220,895,802,010,406,
733,525,647,263,874,369,070,916,407,413,394,819,705,334,200,033,503,894,422,
086,495,363,981,125,127,479,819,561,673,391,468,018,948,027,984,275,824,228,
622,679,679,953,707,784,328,221,098,555,932,816,824,532,750,913,915,005,517,
472,617,963,514,407,806,170,874,197,063,773,143,227,920,358,242,729,404,440,
994,043,007,273,722,179,193,161,660,096,792,063,419,901,415,927,905,198,847,
335,161,566,225,629,299,857,786,875,672,852,509,980,261,114,812,729,812,844,
842,826,455,351,553,975,117,022,573,492,035,922,261,592,866,919,905,930,269,
829,946,817,890,234,691,874,002,611,603,492,261,377,632,771,039,724,467,490,
750,452,473,023,121,393,721,535,788,373,590,262,201,937,236,296,842,171,934,
762,825,417,442,790,645,199,903,311,442,319,994,570,282,428,494,997,755,865,
549,998,373,960,186,890,996,168,752,726,007,555,734,239,266,755,056,031,517,
522,424,328,237,557,461,482,710,615,213,835,251,897,542,276,944,498,098,967,
733,431,988,376,098,702,298,121,296,671,043,659,988,499,577,381,930,843,442,
806,476,423,062,984,347,870,923,351,036,748,840,864,955,451,517,549,993,746,
277,404,846,327,172,489,439,214,024,115,210,335,257,859,616,898,821,132,696,
581,711,316,733,975,659,879,025,159,693,048,488,746,088,879,891,625,777,531,
724,227,700,265,227,645,649,340,877,384,734,267,831,595,772,628,610,372,301,
993,173,535,513,557,086,746,474,680,934,826,913,382,182,171,575,704,049,148,
361,606,468,739,602,481,803,904,397,096,062,076,357,714,502,948,082,903,550,
270,640,994,884,375,343,238,684,238,320,750,173,441,135,948,267,452,317,819,
040,906,643,665,969,842,827,594,073,844,555,001,291,387,365,347,384,715,953,
056,196,632,690,923,236,768,966,423,593,994,886,174,392,918,012,765,467,239,
055,943,606,394,394,367,914,212,896,666,162,544,345,381,452,762,197,280,849,
715,110,342,666,706,137,162,421,756,498,251,534,391,169,974,732,695,186,883,
663,195,815,657,852,460,238,547,690,706,921,895,916,465,029,535,448,531,420,
152,565,617,811,136,674,149,748,329,238,535,549,290,119,114,395,355,859,605,
157,825,223,591,769,001,949,654,667,682,403,625,704,281,323,117,348,882,310,
947,625,820,225,230,353,166,042,251,334,260,697,025,566,251,280,798,806,930,
802,392,416,098,180,702,519,392,383,848,392,827,459,858,643,771,740,996,979,
011,994,005,143,271,791,637,024,208,087,581,161,549,658,814,061,544,437,331,
331,805,887,502,805,200,165,064,066,498,595,345,287,878,355,052,713,075,040,
783,641,656,609,922,019,110,377,710,312,317,047,415,798,965,339,880,757,587,
947,772,449,506,371,135,286,694,247,138,035,831,661,521,339,497,572,909,338,
448,056,560,556,861,904,936,045,656,846,394,064,484,830,672,958,004,739,600,
777,837,416,888,702,895,725,349,416,436,817,855,330,222,986,634,577,807,960,
456,504,691,122,627,556,259,972,078,280,462,800,174,570,244,805,521,826,434,
796,282,069,949,375,243,266,077,935,322,658,682,195,612,862,179,669,349,408,
012,441,480,534,126,276,236,920,015,465,017,875,261,976,256,750,372,346,763,
159,366,077,396,534,575,667,805,416,770,308,339,594,500,954,663,604,458,920,
702,025,753,065,768,330,168,410,085,469,679,761,389,499,745,537,870,549,249,
173,738,495,789,939,925,115,000,346,242,845,960,992,223,941,540,864,457,607,
074,212,419,326,652,002,677,025,472,214,439,146,179,042,699,160,286,002,433,
559,546,480,092,416,209,429,640,142,172,550,125,229,112,365,250,214,555,349,
633,759,344,451,952,067,650,001,807,361,111,837,746,047,711,565,255,935,994,
495,020,835,810,191,079,778,839,459,706,581,387,546,414,044,844,685,210,964,
065,634,319,888,631,752,758,964,880,967,837,187,261,722,296,853,986,890,666,
631,395,718,901,210,606,613,629,216,471,153,534,047,161,766,664,716,898,751,
796,961,100,659,248,711,365,317,757,011,697,746,171,352,150,656,708,735,885,
937,285,606,646,979,393,695,008,893,036,819,894,921,601,477,427,536,770,199,
382,898,118,763,177,359,566,284,754,012,345,692,663,831,143,783,182,967,147,
124,895,282,484,518,499,440,142,821,179,973,130,490,096,109,068,501,139,310,
502,650,574,893,627,397,550,505,298,592,926,729,689,524,110,154,968,658,837,
288,761,850,143,215,323,365,981,424,708,218,800,365,754,251,190,447,044,130,
316,476,925,354,627,603,227,431,980,028,614,047,681,471,006,717,973,653,187,
967,671,014,589,808,746,421,704,444,241,134,576,761,919,947,861,847,079,531,
366,589,934,200,358,897,642,964,259,716,322,490,293,940,086,278,627,859,044,
961,429,968,837,642,042,768,745,835,042,694,926,087,780,450,610,730,727,272,
850,101,912,046,031,473,962,027,890,735,673,340,232,708,644,606,674,917,188,
691,359,457,082,978,348,013,530,073,326,142,194,655,476,214,537,401,602,825,
640,901,455,123,037,223,783,426,606,941,637,149,027,215,956,938,761,889,755,
372,008,062,371,730,795,197,923,231,987,319,848,368,925,695,112,764,858,187,
994,641,915,120,537,461,251,464,492,366,646,679,875,090,001,541,277,844,578,
480,141,044,805,748,285,998,438,981,852,492,902,384,458,523,844,765,076,968,
679,484,841,158,178,723,379,176,094,501,290,288,525,549,247,053,115,693,039,
860,522,767,516,973,204,283,877,068,083,933,889,940,197,085,831,090,734,935,
146,184,534,057,884,780,601,839,088,413,409,413,499,023,977,283,679,737,458,
715,320,978,681,788,311,675,786,085,726,230,366,442,956,885,551,116,853,911,
478,516,557,667,829,961,829,069,648,901,678,017,098,778,025,161,216,376,277,
590,037,395,766,912,834,202,546,219,297,133,484,660,406,938,050,575,010,443,
127,219,195,678,621,845,641,878,504,758,428,503,548,872,915,115,043,365,584,
633,771,885,535,535,917,007,390,221,491,946,164,659,613,091,742,193,457,776,
294,322,687,162,162,073,671,908,341,483,867,504,972,640,432,460,132,964,918,
501,818,375,818,271,354,222,809,901,045,056,834,744,267,230,462,054,733,162,
879,699,690,711,103,298,261,214,381,305,674,550,600,620,062,813,808,759,385,
971,565,763,308,416,338,995,879,232,636,787,717,132,696,918,998,915,292,901,
007,806,003,574,759,041,553,408,753,500,012,625,783,368,050,793,478,680,257,
343,775,719,400,585,822,950,523,417,769,547,065,310,144,656,008,994,842,357,
852,793,471,872,374,695,898,195,895,239,920,103,454,017,574,549,276,387,900,
650,093,943,061,615,229,555,402,709,596,997,181,173,757,135,600,905,112,526,
346,924,902,673,573,336,345,058,235,964,620,033,783,436,717,691,605,983,392,
175,992,844,395,050,423,586,531,341,397,137,103,303,010,844,985,545,963,006,
121,686,616,040,476,548,654,675,682,037,707,899,161,218,789,102,621,787,815,
708,988,613,927,895,526,936,772,237,824,744,113,937,640,562,535,978,122,505,
966,208,486,486,425,262,915,710,803,263,228,353,668,888,203,807,951,714,568,
408,075,144,391,210,502,895,572,290,573,730,546,039,997,057,276,102,288,795,
907,873,200,049,525,008,777,295,962,914,996,554,029,441,672,909,235,050,301,
438,391,518,408,385,193,033,303,343,750,497,073,187,177,059,484,766,964,237,
997,041,858,625,118,032,006,619,975,751,641,689,319,638,100,243,356,838,459,
486,127,861,757,964,854,357,375,499,409,999,360,787,949,995,424,632,591,418,
301,817,087,988,255,397,500,668,459,787,456,882,621,284,773,181,383,899,293,
358,014,089,239,763,459,533,993,663,257,189,555,393,958,447,112,417,212,842,
644,650,548,411,048,909,179,293,661,207,483,926,916,233,539,859,088,953,671,
221,873,842,557,510,710,797,704,996,403,924,806,905,213,887,173,183,680,099,
458,612,673,272,967,724,535,209,463,414,662,383,338,445,020,542,793,559,224,
689,907,380,501,922,150,467,858,386,154,316,507,521,296,054,809,643,460,328,
142,551,611,950,532,989,127,273,301,955,510,295,448,515,289,538,651,830,481,
443,156,345,853,332,881,892,838,581,649,563,730,086,336,842,533,662,416,938,
864,369,496,722,458,872,496,157,582,867,253,791,704,255,254,367,611,238,804,
872,037,173,668,562,404,748,855,838,914,822,285,658,471,399,130,764,029,202,
642,526,401,153,883,971,755,254,161,805,254,013,443,217,720,326,791,707,640,
801,262,997,773,585,841,056,484,924,729,455,304,804,057,581,152,182,027,196,
831,179,155,685,538,423,715,173,059,938,765,879,149,215,976,974,578,309,730,
316,573,138,463,837,425,036,510,119,889,306,431,816,003,437,142,431,001,979,
447,817,649,753,322,390,029,949,523,288,257,602,679,090,446,950,896,442,840,
195,737,496,979,229,579,152,681,198,907,438,177,242,513,475,560,930,550,348,
541,396,807,147,647,584,596,244,537,111,926,628,966,827,532,527,999,468,974,
352,289,281,468,105,692,268,672,070,551,160,474,136,785,694,365,125,006,127,
822,251,259,083,529,876,282,535,135,455,515,888,085,095,857,177,354,217,351,
322,338,943,928,530,330,064,386,548,514,611,248,832,920,120,642,792,774,973,
235,785,537,754,854,492,118,350,439,218,763,865,648,406,982,407,864,591,590,
826,878,791,394,134,862,366,406,723,238,340,294,369,238,878,123,492,875,067,
415,340,510,966,258,605,213,245,213,702,908,082,371,024,792,078,243,381,165,
427,434,374,478,394,053,249,158,422,620,748,529,005,232,976,741,137,629,710,
820,542,109,088,437,439,131,359,495,195,081,109,744,382,362,102,022,668,217,
783,670,993,030,031,230,120,149,710,409,202,437,469,707,718,130,084,101,174,
582,342,815,053,231,512,390,905,170,958,489,478,266,617,955,671,847,640,343,
732,587,454,184,426,331,511,172,523,582,823,614,287,283,728,747,110,643,295,
793,316,956,413,817,889,987,930,871,647,468,292,429,363,858,364,911,126,388,
126,815,675,943,798,758,562,274,742,145,823,796,597,965,971,471,039,373,213,
976,257,509,988,752,488,053,497,123,781,900,021,111,880,697,073,893,387,650,
187,328,370,074,919,198,129,792,990,721,486,978,624,773,771,562,287,930,855,
349,217,025,121,326,026,834,177,279,116,749,216,365,559,723,039,265,555,462,
901,011,955,503,559,956,409,252,474,288,965,499,385,086,684,668,714,548,947,
599,117,125,019,575,299,539,002,666,321,593,377,570,055,313,187,307,916,478,
013,461,214,296,156,637,893,894,109,219,405,139,075,815,456,740,743,067,984,
895,188,381,646,217,964,704,303,537,404,490,455,153,511,359,702,140,990,475,
667,329,430,028,622,739,010,686,952,449,773,492,124,841,751,462,219,335,961,
465,011,613,400,278,144,140,651,861,193,022,422,316,736,081,909,759,655,630,
062,540,035,918,586,652,093,565,144,145,372,235,026,682,445,913,397,704,190,
033,456,271,294,215,964,955,561,468,780,175,818,545,266,598,120,332,166,355,
596,946,240,474,723,213,604,119,744,181,828,639,769,372,363,327,676,560,239,
552,004,939,595,285,165,981,046,106,880,547,763,142,826,934,374,608,127,999,
868,022,029,934,176,428,225,854,218,277,033,553,509,435,338,734,939,659,187,
167,135,392,671,091,741,960,447,225,911,145,603,810,494,078,964,579,574,342,
134,502,519,256,762,366,098,119,231,346,992,453,814,727,486,477,998,245,925,
575,361,529,383,965,094,443,928,211,778,017,577,209,095,711,135,395,093,396,
478,649,899,595,187,025,870,190,528,596,049,719,378,624,186,687,421,610,423,
827,998,618,155,345,741,944,811,434,387,832,918,903,747,203,712,756,714,905,
166,108,438,337,163,610,767,373,808,936,633,642,445,023,525,166,853,388,518,
305,363,104,793,783,390,633,473,688,178,663,718,443,517,948,129,752,178,361,
140,643,839,394,013,864,139,359,328,727,535,219,388,124,099,304,999,413,648,
284,453,955,179,514,747,827,834,966,087,870,586,541,420,945,209,859,154,602,
517,072,681,606,094,535,515,328,769,122,294,602,849,698,963,284,035,331,369,
043,375,433,090,515,388,027,107,391,427,282,208,701,697,466,901,042,513,575,
235,061,324,901,926,629,534,342,166,095,836,792,221,689,211,830,825,363,356,
467,679,623,407,210,284,117,458,693,261,277,362,412,905,523,379,272,123,267,
794,068,419,673,018,918,600,608,787,507,512,332,749,180,053,753,232,995,870,
371,780,462,349,932,392,648,932,814,033,290,346,756,608,984,168,098,296,974,
495,702,488,169,162,902,548,756,790,984,535,345,002,763,524,966,274,280,741,
375,703,279,714,302,087,680,140,869,986,819,671,051,717,201,143,510,905,732,
541,985,501,082,900,402,434,797,006,688,955,076,476,146,890,395,317,544,005,
040,020,686,459,606,796,686,150,727,593,846,725,358,815,261,905,491,388,191,
616,736,763,845,878,350,639,785,817,310,355,568,795,243,322,730,790,453,139,
475,622,073,008,894,909,143,016,834,780,379,150,746,234,290,305,726,693,030,
932,997,006,425,350,501,861,593,128,942,002,526,812,753,758,379,964,152,207,
411,409,817,711,868,555,202,883,974,324,452,824,111,622,816,737,843,421,222,
612,143,758,854,732,254,467,964,762,282,373,926,324,880,854,519,285,594,309,
733,960,899,672,937,648,316,932,558,914,537,318,739,480,863,162,480,036,119,
982,058,995,204,343,667,038,582,295,329,892,043,886,169,081,007,369,323,779,
560,285,260,708,280,879,869,325,128,222,958,914,751,843,577,899,160,439,220,
245,298,594,616,545,457,191,208,064,455,862,714,422,478,238,818,361,813,930,
666,841,564,364,928,013,433,317,253,968,162,807,012,660,355,555,503,047,664,
547,090,720,912,643,071,542,085,661,575,162,098,480,036,853,672,533,357,086,
734,674,758,791,742,508,045,998,243,623,404,547,172,304,535,484,564,582,124,
705,179,919,415,015,769,647,174,586,289,558,042,575,497,394,830,755,621,785,
469,483,810,007,125,232,190,813,821,767,963,828,161,283,231,211,141,159,727,
146,164,268,976,976,820,889,337,978,298,176,740,987,977,518,935,703,442,112,
998,614,230,190,978,300,068,000,435,430,514,299,956,802,089,486,022,306,717,
881,040,737,214,753,924,863,802,794,711,579,041,569,179,977,031,363,667,047,
992,732,225,918,880,240,311,875,459,655,449,476,857,548,830,909,940,723,586,
882,766,718,555,672,484,787,621,457,380,789,825,877,102,093,425,056,372,565,
182,817,680,170,072,404,294,984,080,904,326,141,215,132,457,985,134,535,437,
999,345,230,954,633,715,970,234,280,998,330,396,353,261,017,798,844,869,184,
489,870,761,809,136,473,440,810,203,184,545,231,833,789,301,062,508,526,856,
026,807,428,554,326,107,915,138,703,347,975,267,255,730,922,749,091,897,349,
861,137,502,785,181,927,616,635,398,227,160,161,199,536,017,398,915,030,432,
212,830,181,160,611,069,697,805,251,720,348,315,377,215,408,653,913,801,186,
569,353,163,586,377,384,956,952,656,527,736,070,761,431,157,945,005,264,313,
506,889,939,208,071,138,081,101,218,280,643,222,044,963,631,830,680,369,938,
807,372,358,556,397,962,355,639,010,062,268,789,092,147,267,279,556,812,873,
599,442,963,751,418,221,618,669,588,910,322,817,012,664,765,184,388,706,431,
726,704,842,168,854,631,496,449,487,235,344,854,848,601,542,958,193,165,446,
352,102,626,745,893,604,904,917,061,886,780,214,453,851,000,874,175,779,391,
057,491,653,207,288,050,948,250,868,534,421,665,351,055,226,677,715,754,775,
775,248,814,512,026,965,560,116,238,263,878,240,205,819,818,043,262,753,354,
588,678,177,096,533,644,037,819,911,722,631,963,518,454,934,014,567,734,961,
028,294,829,036,559,436,722,174,350,239,969,880,101,215,435,894,400,402,757,
384,430,146,085,476,738,781,695,203,597,922,410,283,098,996,720,120,690,251,
234,289,507,954,012,492,259,169,870,194,000,802,314,395,572,266,023,148,530,
813,174,735,310,776,953,660,007,474,313,849,574,340,707,758,255,464,826,687,
509,589,286,921,316,493,793,261,568,038,919,192,965,380,733,707,441,942,563,
872,157,447,581,894,490,025,856,158,056,869,665,491,795,110,080,019,387,762,
486,665,210,051,557,202,439,010,900,577,029,572,156,293,793,504,398,659,848,
759,918,508,492,213,993,878,865,624,701,914,597,241,812,220,964,183,047,289,
874,809,882,666,125,128,557,121,017,855,081,166,511,437,205,687,525,076,233,
535,737,693,900,528,115,085,685,134,046,656,293,578,876,872,802,484,295,320,
877,788,392,515,009,884,934,099,310,991,057,251,913,887,566,945,689,508,486,
653,379,017,260,763,398,454,494,891,850,058,924,156,398,383,816,628,527,877,
493,903,727,288,139,159,585,386,512,877,465,967,621,898,624,099,423,750,176,
542,834,998,963,592,213,638,491,009,230,592,614,486,263,622,635,793,971,467,
902,929,591,554,779,949,798,049,199,137,821,015,002,111,635,537,851,225,985,
784,263,489,203,342,962,207,884,920,207,480,833,138,912,688,355,494,536,151,
175,109,763,441,932,831,828,891,509,552,985,357,326,637,687,191,292,017,906,
536,372,092,703,053,971,454,806,075,992,198,560,875,568,344,947,922,189,939,
478,310,715,994,415,826,291,875,463,950,321,348,769,195,675,450,376,471,909,
006,502,319,673,202,349,666,357,602,337,605,380,476,690,800,559,790,158,875,
795,703,359,291,764,171,138,605,676,578,563,515,972,685,563,676,964,136,763,
522,422,272,077,340,759,567,724,760,322,682,824,028,006,361,976,668,146,727,
011,672,678,137,901,993,423,028,368,489,448,678,490,225,171,532,757,591,002,
759,443,909,540,663,408,548,549,908,607,638,220,237,210,584,197,460,127,137,
332,488,628,750,895,485,658,265,276,573,527,036,387,211,700,194,932,463,461,
597,452,113,355,384,668,007,494,698,807,961,500,251,118,109,953,216,520,050,
636,452,901,189,111,540,936,575,936,085,159,807,200,943,063,720,068,974,987,
661,642,628,418,338,814,069,545,087,928,189,295,726,303,687,239,807,557,541,
910,113,396,035,790,456,011,095,307,210,295,280,298,234,005,109,610,899,872,
891,721,738,509,404,865,258,921,593,592,895,826,637,559,720,271,757,557,196,
704,903,579,511,988,294,504,018,852,935,534,927,568,007,722,651,474,550,040,
572,978,497,290,745,692,633,046,850,304,899,847,663,872,987,249,781,383,173,
842,410,594,803,078,540,423,357,675,589,266,743,960,515,644,271,767,115,460,
033,998,074,848,720,224,073,648,341,919,090,937,270,518,019,498,900,230,283,
309,851,235,151,535,963,787,550,393,614,735,611,246,784,792,124,355,399,077,
266,510,173,664,847,243,079,079,595,274,860,528,871,574,225,942,868,435,598,
534,058,085,973,373,722,977,890,400,042,724,964,124,093,986,479,964,050,917,
555,968,683,387,110,645,179,823,389,225,321,732,082,614,578,077,089,879,125,
050,127,182,919,390,699,954,072,094,394,089,287,837,014,348,206,048,020,762,
887,601,815,228,412,839,259,610,922,405,251,295,744,368,060,333,066,647,963,
181,635,618,248,262,207,530,022,427,513,143,167,111,857,538,040,500,021,006,
118,273,356,292,864,001,475,227,838,920,769,639,131,025,314,312,975,314,353,
093,674,801,539,131,765,272,774,981,565,454,350,321,435,191,840,602,661,474,
785,153,277,298,153,159,932,727,260,857,648,049,248,665,419,710,823,008,895,
456,503,879,698,813,538,210,869,438,177,044,663,713,291,389,334,769,983,747,
288,678,448,661,035,300,735,064,698,147,510,864,428,761,634,663,254,943,105,
063,240,980,309,483,875,806,916,528,660,666,632,318,183,676,938,509,932,776,
302,050,791,217,829,330,701,226,935,916,547,441,340,661,892,952,833,158,260,
380,853,555,884,834,616,665,944,117,922,916,264,446,684,089,318,231,934,293,
220,742,388,180,467,426,326,612,658,156,790,625,781,050,615,446,448,818,753,
454,458,247,276,069,935,207,469,466,357,279,459,689,198,851,187,180,160,195,
885,344,017,628,953,202,867,417,920,636,655,665,027,580,168,644,442,149,358,
586,729,912,924,369,284,084,337,645,743,623,957,074,694,438,760,404,481,577,
153,644,878,110,086,766,778,569,756,828,888,190,523,392,318,210,412,957,624,
323,192,216,088,752,903,832,599,571,935,964,784,901,781,581,640,277,519,892,
297,210,478,707,253,991,904,513,916,513,658,955,995,064,325,198,486,739,675,
485,075,354,027,180,764,393,965,342,996,573,796,937,935,026,631,621,290,382,
455,714,717,602,858,347,236,292,119,172,579,864,021,196,295,779,789,093,265,
375,435,949,459,296,900,248,178,442,140,309,252,010,267,029,932,666,907,247,
466,487,132,057,882,420,282,551,079,518,819,364,582,385,547,662,362,720,690,
460,475,022,007,870,275,845,386,293,754,418,104,448,864,174,508,812,706,049,
930,006,824,452,863,344,422,144,229,133,685,818,313,885,901,099,057,292,501,
434,450,889,983,212,284,757,976,465,614,367,066,104,012,263,401,923,415,895,
957,961,452,624,195,683,646,687,794,910,043,030,838,633,200,887,347,773,426,
800,234,361,150,242,422,320,720,147,450,134,186,149,075,844,532,758,007,245,
565,430,611,218,774,772,587,671,013,426,846,183,913,667,439,160,046,633,230,
733,106,763,416,488,302,928,244,227,338,069,424,968,809,949,432,757,529,731,
835,756,439,673,972,971,957,102,925,687,582,406,487,315,770,298,329,636,322,
015,281,179,258,965,608,881,351,088,060,401,793,169,435,731,835,803,349,628,
103,675,223,326,626,682,790,761,484,517,345,941,214,140,869,698,479,974,884,
132,215,115,499,785,579,108,191,445,680,512,631,366,798,483,115,432,526,546,
234,361,232,017,861,881,419,047,102,303,302,907,061,000,804,267,109,873,051,
367,083,399,440,829,798,460,638,990,922,029,958,045,804,526,903,973,313,317,
835,835,005,414,499,295,161,749,314,125,327,105,751,607,248,816,846,403,155,
080,842,818,051,090,855,864,132,971,596,296,032,649,731,772,719,636,827,078,
925,622,544,702,277,597,335,219,133,604,830,851,275,566,664,893,044,721,121,
220,568,198,620,760,556,785,224,537,445,553,918,885,878,075,334,573,066,237,
711,977,336,565,592,664,649,555,457,332,282,481,226,305,964,909,681,111,537,
955,159,434,493,805,498,317,679,565,005,997,941,759,671,689,605,631,048,179,
473,600,221,453,589,145,542,058,296,611,273,197,917,456,489,619,734,954,046,
651,463,346,179,916,568,689,953,620,560,308,573,828,353,690,965,010,285,882,
059,004,327,904,925,530,010,450,540,160,672,422,203,006,512,916,006,952,432,
539,507,373,423,494,210,172,172,688,708,473,540,677,024,977,786,654,778,717,
786,815,708,612,729,096,130,317,377,360,202,256,311,527,653,102,058,572,479,
524,926,213,228,897,134,381,642,540,430,236,910,674,449,215,442,494,972,514,
808,785,100,660,868,875,308,990,519,321,452,544,380,412,813,016,854,027,651,
381,821,168,497,197,517,246,938,142,682,487,586,796,024,893,137,037,287,825,
125,079,819,549,168,156,203,258,159,207,941,973,264,930,122,892,914,040,761,
242,473,968,945,822,034,246,841,447,557,365,157,133,859,922,505,548,100,999,
945,743,462,752,741,960,764,243,232,503,732,990,991,215,439,753,368,555,912,
549,972,709,991,399,044,919,218,416,946,384,891,341,440,380,597,393,759,019,
493,446,009,214,542,780,594,164,954,655,739,674,852,981,050,459,582,880,773,
401,730,989,708,490,113,839,616,482,776,490,083,067,174,983,563,721,530,389,
110,212,944,866,874,358,822,870,000,929,645,776,675,720,538,972,212,831,848,
155,961,792,578,233,115,647,790,963,680,881,931,189,433,893,956,447,164,510,
465,883,030,670,409,744,938,965,554,210,003,725,565,752,577,592,887,555,654,
699,509,594,076,824,417,016,290,016,008,058,502,167,734,937,385,595,990,725,
934,385,282,232,577,405,315,912,317,459,331,186,021,285,106,725,632,476,107,
353,246,991,638,147,289,044,969,000,252,488,540,945,865,892,746,653,072,975,
558,105,333,163,521,786,239,671,255,129,476,438,471,663,539,520,915,056,332,
563,246,492,586,672,402,123,712,661,567,343,210,158,822,005,296,027,402,563,
771,362,721,571,682,218,382,987,336,361,686,031,109,908,226,951,483,255,998,
107,531,415,695,961,778,297,651,998,092,044,951,835,710,358,697,237,283,457,
742,713,910,985,075,283,171,754,111,677,565,812,122,977,511,527,944,534,441,
001,441,248,838,509,184,377,479,228,761,330,424,676,256,083,356,619,973,449,
584,379,092,271,952,556,815,872,020,009,543,174,904,204,472,438,247,809,116,
950,894,698,266,204,426,828,205,985,535,917,788,524,544,306,505,409,771,382,
981,982,639,607,417,057,161,072,110,192,356,661,804,333,056,520,351,491,870,
469,602,929,591,574,222,212,544,556,462,275,106,117,317,203,532,864,545,390,
126,249,609,687,946,312,987,054,919,041,752,857,417,913,465,183,219,339,057,
578,781,574,424,542,143,355,870,373,230,593,125,113,040,867,274,587,609,373,
745,157,494,492,401,860,757,864,940,425,940,636,495,923,140,277,889,643,454,
144,790,255,112,243,292,853,268,268,959,427,643,947,333,950,743,648,494,806,
295,403,086,270,543,893,189,343,100,569,018,906,365,859,156,125,093,487,296,
238,599,941,358,201,742,262,460,681,659,814,747,970,713,301,014,291,315,073,
734,934,987,905,274,512,338,000,632,743,441,772,236,528,615,363,478,539,978,
369,122,048,459,679,722,256,650,162,739,309,000,377,924,228,206,076,107,199,
105,939,520,582,693,147,931,351,746,934,552,612,813,011,323,975,734,248,224,
332,558,606,715,026,901,243,306,490,200,582,517,332,295,285,543,128,216,896,
084,677,684,759,621,688,319,811,440,520,825,471,489,619,660,423,511,210,267,
220,189,801,603,273,062,008,216,591,468,992,538,077,395,317,542,790,839,474,
167,334,056,542,457,025,074,793,980,124,036,530,787,313,901,574,565,060,820,
300,743,886,132,779,981,141,757,235,584,781,043,978,642,710,395,652,457,389,
067,563,654,768,950,914,541,016,653,727,837,177,122,408,027,441,614,628,326,
751,090,166,930,974,398,965,189,746,155,256,964,958,583,877,531,243,126,064,
791,061,847,821,554,304,224,165,532,638,017,601,412,332,766,024,362,509,127,
702,694,761,271,179,166,337,914,012,711,214,383,556,444,739,050,995,385,236,
752,644,463,217,552,921,392,614,909,225,801,616,843,178,569,754,401,151,230,
134,910,375,460,526,478,189,833,952,079,325,209,883,973,487,345,895,835,244,
012,057,541,987,204,487,895,326,675,843,882,029,128,975,769,248,927,558,599,
801,758,817,955,719,290,003,401,997,633,642,015,831,877,609,593,821,588,443,
101,554,664,136,878,204,871,843,478,014,904,814,669,755,347,350,685,203,575,
294,494,523,858,312,069,584,820,662,520,604,402,260,885,064,839,774,072,705,
039,046,283,431,167,194,047,348,432,575,327,907,991,735,971,304,697,964,850,
738,230,529,150,079,078,615,592,236,162,195,460,054,527,945,860,814,762,368,
816,259,786,601,485,073,205,949,679,598,719,589,123,165,149,156,163,169,352,
037,485,071,174,565,396,120,880,597,583,402,869,513,520,331,887,584,561,637,
314,923,866,794,401,512,853,843,658,491,089,496,168,965,415,391,692,531,532,
609,045,985,845,998,847,808,142,593,897,647,597,768,070,126,301,586,916,417,
165,423,074,498,228,110,851,530,103,769,596,796,371,849,990,582,808,111,248,
464,297,120,343,791,470,166,359,455,037,562,144,254,401,300,622,329,550,498,
059,009,184,789,074,809,025,719,447,673,815,539,992,639,006,429,877,291,320,
204,452,714,666,638,716,098,117,143,457,000,521,026,533,898,396,219,737,302,
945,832,183,288,754,078,215,654,121,017,124,511,584,016,435,588,841,070,055,
536,864,224,123,476,927,074,384,445,941,298,837,187,281,631,866,651,623,831,
524,587,216,312,740,975,441,084,559,409,330,494,163,176,106,226,379,856,730,
705,424,927,777,867,615,671,339,312,871,072,790,929,476,001,894,521,319,989,
969,394,692,490,136,244,868,665,086,100,575,243,409,774,342,193,858,675,357,
595,662,511,572,532,377,970,465,423,084,262,710,121,890,922,187,030,926,308,
392,857,764,644,803,654,645,838,922,715,542,246,271,989,520,644,374,267,207,
489,962,464,212,950,601,833,413,650,315,547,485,285,541,946,670,131,254,201,
162,255,258,509,530,680,376,336,001,913,250,209,991,777,699,614,423,842,450,
615,273,588,391,277,641,317,967,421,653,184,140,401,727,641,973,117,243,378,
423,325,662,836,950,724,459,743,639,392,911,117,727,643,581,826,287,191,806,
735,194,225,266,758,951,351,121,287,582,421,486,466,385,880,191,767,851,760,
517,745,642,475,561,059,329,115,476,761,900,833,731,953,022,732,127,792,094,
281,860,463,676,291,027,716,796,132,894,953,683,794,533,956,063,171,358,229,
625,619,704,065,959,396,659,381,683,269,881,630,678,900,305,711,702,004,644,
179,930,193,093,369,904,053,176,647,950,942,520,157,396,903,780,945,544,390,
376,763,650,028,688,333,320,376,230,662,338,257,031,535,406,655,051,446,941,
583,622,053,426,752,434,483,368,810,313,613,728,931,724,007,095,506,184,816,
217,818,744,152,236,577,594,065,208,889,309,594,977,725,923,955,857,064,148,
558,124,167,030,878,776,609,625,482,087,847,755,462,566,245,700,054,356,634,
291,317,941,059,317,404,932,871,306,563,788,255,626,378,158,445,768,310,110,
010,833,464,975,148,612,641,408,750,599,960,384,437,332,182,687,275,194,941,
023,378,847,779,260,245,066,616,400,724,707,401,141,809,913,885,514,274,466,
445,191,313,856,027,281,701,527,496,562,005,548,902,475,057,378,553,193,856,
157,410,750,905,938,864,402,388,250,756,000,033,796,479,921,782,920,947,266,
643,327,365,494,819,099,423,996,454,951,642,038,743,418,927,859,747,291,945,
106,725,772,158,545,909,662,572,146,004,261,031,046,745,350,719,899,562,818,
756,929,173,798,464,000,096,018,036,030,980,757,850,602,035,432,472,850,090,
118,915,199,344,155,944,550,432,474,842,742,615,305,813,600,445,555,726,536,
778,337,234,538,057,438,639,157,769,732,857,434,570,841,238,035,579,693,499,
087,295,353,304,000,365,049,866,572,744,453,337,236,295,644,158,285,348,135,
976,329,456,016,852,028,531,885,207,898,356,011,075,833,258,419,088,811,290,
072,897,385,112,027,311,418,803,373,435,835,450,122,878,824,635,106,978,612,
532,362,462,065,345,616,870,703,073,227,579,985,503,162,251,282,893,382,409,
670,166,970,423,757,524,385,405,713,787,003,328,819,460,366,644,428,651,717,
107,263,776,929,931,568,554,967,282,693,372,100,599,679,454,085,792,753,057,
283,962,438,973,756,162,467,845,158,720,122,377,345,147,020,930,697,515,473,
073,778,042,490,268,005,615,502,807,335,639,530,018,833,329,095,862,239,272,
667,550,826,586,066,588,250,093,811,002,572,451,294,386,623,402,430,825,252,
634,967,514,177,654,624,826,452,697,877,433,378,506,801,672,060,181,609,707,
927,213,937,335,363,660,843,843,068,358,369,651,892,044,868,080,236,254,493,
100,340,565,537,443,341,585,177,399,536,306,863,280,402,690,746,563,619,385,
022,544,404,117,339,122,517,372,025,189,068,147,350,829,618,698,009,960,783,
450,747,639,736,927,414,353,789,954,335,485,276,721,727,832,109,867,305,020,
830,009,122,249,798,648,666,430,842,473,715,225,501,254,328,099,098,784,736,
247,984,922,710,167,395,283,202,764,388,909,887,342,846,730,527,876,647,154,
062,495,529,242,637,646,276,312,574,080,183,408,374,748,382,787,522,182,574,
121,630,746,479,560,488,309,161,792,466,654,416,696,653,546,903,700,833,195,
149,354,608,797,118,297,936,390,722,532,718,453,261,324,674,285,142,404,779,
357,443,225,496,055,743,617,349,107,512,962,991,259,917,136,649,132,625,833,
727,738,652,417,394,907,270,789,429,833,791,836,675,731,429,298,230,520,710,
509,445,100,776,849,460,768,177,516,170,935,466,983,044,923,508,168,579,026,
950,850,560,198,674,751,809,938,579,651,991,800,244,545,066,165,922,523,254,
665,310,745,486,234,618,685,915,957,671,422,179,572,598,675,711,506,702,783,
160,278,128,767,320,574,480,758,397,106,763,524,204,154,872,657,212,208,065,
337,033,840,395,138,277,207,576,344,352,559,023,570,007,556,766,270,429,979,
267,660,703,630,496,303,027,994,228,488,516,316,459,402,896,123,764,289,946,
723,045,507,271,482,115,951,030,340,189,460,923,049,640,716,561,179,717,237,
525,055,587,510,194,346,608,780,646,023,934,307,643,519,554,318,255,887,761,
251,188,004,366,850,459,696,148,524,562,041,933,123,863,982,297,708,443,424,
642,950,366,133,771,919,603,587,194,156,475,501,903,397,020,263,053,048,091,
408,668,612,983,795,844,751,664,416,821,610,670,486,949,066,544,642,757,036,
724,633,151,215,599,375,106,227,327,489,706,249,947,703,847,288,354,260,256,
251,383,173,441,438,320,663,214,171,607,990,110,026,577,942,883,685,705,574,
640,812,335,921,530,474,253,670,143,216,203,588,398,591,257,473,603,537,895,
736,031,817,510,927,423,865,624,495,539,758,417,166,736,971,418,684,996,694,
920,124,776,543,068,781,717,361,669,227,610,604,834,144,629,705,116,241,600,
367,589,423,220,535,352,059,381,537,181,911,246,212,614,484,733,887,339,288,
826,245,857,661,692,470,951,091,855,600,519,721,539,203,038,244,379,761,437,
986,844,489,102,883,475,707,249,394,044,345,183,155,919,755,166,606,115,079,
547,666,682,777,647,932,212,239,413,085,691,913,991,032,308,113,450,880,533,
080,533,544,795,202,541,027,422,828,038,619,350,060,467,446,050,483,731,306,
155,424,847,011,440,566,756,041,179,316,142,937,912,577,390,958,784,125,713,
187,031,139,760,382,143,115,113,226,885,645,353,490,664,655,974,247,837,592,
726,813,521,567,426,756,493,794,782,554,897,484,902,575,747,993,403,418,023,
054,588,427,868,156,442,856,424,391,826,022,160,961,881,271,644,225,412,115,
800,131,098,442,535,721,378,984,119,996,430,046,232,484,287,857,591,490,605,
247,125,435,334,575,066,334,243,066,385,682,482,462,312,945,351,968,228,639,
048,607,330,294,061,401,076,950,775,469,079,132,698,836,418,270,405,765,514,
660,414,729,729,659,073,490,861,985,791,539,115,526,589,833,122,305,515,612,
050,705,598,340,364,769,022,213,553,665,391,853,497,075,878,490,607,486,391,
871,688,316,057,202,314,051,632,188,611,336,776,032,692,759,930,130,255,577,
547,216,038,738,288,957,332,616,537,053,991,672,858,510,274,477,893,784,064,
921,955,410,313,219,411,376,153,099,105,581,314,401,697,715,177,737,528,461,
919,098,851,545,613,127,623,859,097,583,955,291,476,841,101,153,797,068,396,
036,734,095,322,657,604,175,709,133,613,888,894,717,788,086,614,419,912,562,
947,445,925,076,750,931,340,616,803,027,050,617,107,720,560,386,929,529,967,
103,817,097,700,540,964,393,560,812,118,135,173,394,484,681,796,668,413,790,
597,601,280,928,458,708,401,261,900,652,350,832,821,635,202,068,883,505,146,
174,902,601,303,306,685,704,744,946,723,974,959,342,350,820,294,508,224,936,
024,650,926,449,850,373,302,531,993,125,855,623,015,985,461,292,988,453,307,
190,586,021,451,544,824,381,882,316,303,883,723,336,306,920,073,021,991,960,
114,875,884,291,182,171,025,847,561,362,029,106,744,500,307,321,275,413,713,
998,186,759,440,962,465,020,655,900,579,123,099,092,871,759,446,052,291,771,
566,539,649,687,269,759,479,190,888,779,520,441,260,339,634,590,319,414,407,
781,518,613,944,496,245,429,930,758,697,703,909,020,224,194,336,811,058,333,
815,579,067,745,881,810,062,036,199,033,487,743,930,559,004,803,604,680,049,
326,664,446,501,306,215,569,591,943,480,003,245,279,354,952,816,407,661,978,
033,210,767,723,670,567,357,021,263,289,064,922,231,612,694,784,523,828,654,
873,246,406,197,156,186,954,487,510,895,476,090,918,093,964,710,185,490,706,
339,263,058,893,710,206,874,530,147,773,018,878,068,430,900,189,322,296,439,
416,979,199,583,129,846,017,717,397,244,714,116,006,734,903,941,088,419,024,
306,474,677,905,313,999,061,695,555,593,756,932,338,902,392,104,509,370,315,
935,788,841,127,240,278,728,398,241,445,625,820,164,825,411,375,640,263,013,
121,705,710,324,882,340,612,415,840,558,918,034,439,485,115,654,369,410,762,
298,345,123,353,613,783,246,327,115,903,193,079,128,086,793,924,797,298,321,
138,498,702,534,739,992,399,789,699,401,611,370,414,719,282,955,096,414,959,
787,163,860,415,853,387,282,399,824,729,166,436,175,672,804,182,988,096,750,
104,196,934,718,190,904,929,398,832,041,632,266,869,723,441,940,190,814,019,
567,351,348,889,254,595,308,007,557,884,505,159,784,431,423,688,340,479,480,
635,983,534,865,964,355,696,577,073,019,332,863,836,589,667,337,345,718,232,
043,115,815,180,565,129,854,537,212,624,263,382,527,987,094,886,367,380,333,
315,988,745,086,841,819,577,595,601,687,673,698,158,323,428,950,415,247,804,
330,685,967,406,129,037,396,694,902,543,546,560,345,754,127,086,510,201,910,
958,981,471,675,094,306,975,804,531,849,057,286,640,032,461,959,197,831,184,
392,866,269,551,329,711,720,149,323,302,392,806,195,832,670,383,804,736,234,
767,210,660,297,191,224,787,910,967,811,467,558,630,450,492,075,541,208,983,
078,901,908,866,389,465,542,410,955,491,227,727,307,512,637,767,131,875,174,
534,467,421,988,860,232,854,860,768,446,840,520,620,281,657,694,718,035,087,
116,666,948,173,950,947,656,602,427,820,765,216,012,440,026,244,866,425,996,
725,618,488,609,449,988,900,362,266,460,335,987,791,089,372,113,777,220,667,
681,933,207,495,169,195,229,068,746,938,201,493,442,584,890,356,848,250,871,
021,743,389,719,616,397,383,221,011,667,354,135,224,006,413,975,195,200,759,
706,648,964,164,702,128,050,160,184,168,963,048,837,522,903,055,337,022,593,
701,881,188,963,877,465,516,883,497,276,361,864,297,064,323,851,148,696,038,
837,246,123,888,982,156,588,519,332,873,949,267,337,241,107,813,454,902,155,
374,854,487,215,814,081,297,954,102,591,320,279,374,579,212,283,872,562,686,
527,460,015,004,041,803,221,430,933,643,388,771,743,525,335,714,251,630,380,
987,751,732,549,993,974,360,609,819,965,446,918,322,436,053,543,286,042,092,
416,667,191,660,460,745,443,063,203,675,355,310,116,182,311,858,170,936,717,
806,644,018,382,277,365,540,657,894,611,973,935,567,842,918,359,752,606,801,
561,832,587,314,429,914,877,345,973,654,553,204,758,471,259,239,973,188,759,
289,388,500,694,469,394,963,653,114,038,151,053,867,942,305,586,102,069,466,
657,355,209,128,677,953,065,688,716,582,505,372,829,403,686,367,408,421,678,
500,374,960,666,153,412,632,270,305,552,797,217,082,006,423,604,287,107,308,
117,358,021,375,804,744,006,620,412,222,031,157,408,381,226,868,340,664,665,
185,787,665,674,674,241,668,366,015,946,155,973,504,264,884,109,487,959,800,
963,730,588,311,925,598,210,573,138,893,701,011,698,852,868,737,073,223,173,
755,444,369,702,078,328,191,208,416,284,253,710,156,563,238,226,469,136,318,
386,638,169,065,189,653,762,498,505,079,338,601,497,257,133,260,751,155,842,
952,354,250,383,947,835,305,915,532,225,855,121,745,339,516,813,086,244,631,
228,425,300,031,470,163,230,184,787,684,563,255,443,002,155,652,313,926,424,
285,869,393,833,751,057,540,922,540,029,077,001,708,494,832,139,404,438,520,
723,042,073,131,008,463,474,882,188,194,952,547,974,422,551,299,659,776,019,
983,514,009,753,001,498,527,415,779,681,825,199,813,467,410,883,560,105,845,
153,528,527,265,880,252,724,516,705,988,846,491,002,972,325,209,897,966,507,
226,791,749,969,495,372,780,803,900,147,175,164,149,463,754,856,876,430,880,
775,724,422,724,424,233,316,710,161,631,917,817,097,914,129,185,212,459,358,
334,160,428,343,880,936,364,928,236,779,651,112,878,757,562,460,923,048,368,
624,222,504,203,663,544,385,553,583,317,770,251,064,383,900,031,741,788,030,
185,715,943,792,403,299,931,332,107,539,680,753,511,777,279,758,847,353,567,
280,450,077,629,043,123,712,047,779,748,961,816,918,644,056,429,657,563,719,
397,027,269,943,880,864,032,532,761,650,304,194,438,901,140,797,937,599,885,
050,858,118,710,973,367,896,613,876,229,988,964,689,937,274,469,434,819,714,
232,534,542,332,142,504,279,066,043,982,113,810,863,861,260,198,910,334,546,
323,433,551,743,467,255,207,858,073,687,738,309,100,032,504,135,628,823,110,
636,199,365,971,874,587,697,610,115,920,610,190,936,167,573,436,289,911,922,
509,027,374,690,323,220,846,343,444,861,003,666,647,022,168,129,726,475,959,
481,062,778,784,792,502,735,875,723,983,829,666,968,792,322,695,082,247,687,
604,861,456,977,448,311,595,924,176,625,063,232,941,120,827,276,677,025,913,
552,563,735,277,000,801,010,970,633,299,172,169,801,181,731,975,164,780,191,
934,657,289,816,857,603,096,565,156,301,653,973,154,415,728,946,297,708,759,
414,693,203,351,945,673,118,426,899,502,830,687,452,710,833,569,049,697,267,
492,377,575,879,722,691,166,671,114,249,756,726,742,512,754,082,699,753,532,
615,093,674,351,904,201,040,389,737,494,156,721,469,044,926,196,110,649,652,
514,208,937,821,571,039,091,563,678,548,332,530,600,674,850,727,498,266,965,
653,805,886,223,020,228,329,638,291,017,350,916,287,499,388,428,151,233,465,
021,321,256,691,293,548,780,484,027,052,498,690,284,549,266,977,305,981,686,
648,213,808,263,813,855,603,640,862,569,375,646,833,849,581,236,260,060,430,
694,886,281,804,722,852,369,012,575,759,536,269,637,196,384,188,892,517,069,
082,291,225,688,225,597,069,787,359,357,439,561,557,829,110,923,669,454,937,
094,175,803,975,851,003,011,330,674,957,430,159,511,236,490,095,634,104,263,
008,559,226,992,267,859,921,471,234,660,132,238,648,861,855,350,812,740,745,
583,512,330,609,215,586,734,488,845,827,770,972,936,270,256,576,238,988,611,
084,210,561,524,674,905,864,298,435,703,223,948,669,687,279,317,609,493,277,
456,498,526,363,923,000,680,630,455,147,383,815,184,411,319,899,051,950,016,
512,163,048,211,983,110,353,901,545,500,243,852,748,052,337,183,875,855,190,
905,811,922,134,468,337,306,291,062,112,364,939,760,511,124,707,630,067,263,
965,117,231,092,833,887,031,738,084,040,444,315,108,444,233,521,394,320,929,
099,350,230,893,888,970,045,440,523,122,654,866,130,987,857,348,914,876,390,
108,359,551,296,368,912,755,237,816,957,222,484,388,480,710,287,771,267,867,
761,230,143,391,733,211,849,180,156,540,100,168,896,812,514,060,059,393,892,
134,881,370,575,074,952,890,205,146,757,311,761,195,014,346,881,219,951,985,
076,708,308,474,004,074,025,865,231,601,681,536,392,949,343,330,461,356,855,
052,597,862,143,816,019,517,020,783,428,199,965,048,256,392,323,824,616,980,
841,573,223,103,795,268,290,270,189,455,640,774,677,019,889,848,414,442,463,
785,929,830,321,478,623,941,393,285,687,981,562,349,032,799,724,527,515,318,
256,380,805,948,366,371,442,690,034,328,873,128,571,387,230,948,023,923,318,
630,498,610,132,020,065,030,301,805,252,472,108,548,308,627,303,883,660,478,
949,443,913,976,405,760,815,314,059,141,580,002,047,877,135,688,477,534,154,
975,672,633,522,734,900,994,763,982,656,571,432,573,540,192,986,323,586,864,
099,539,833,750,249,341,511,807,457,726,448,681,823,031,270,808,916,034,786,
266,309,907,300,917,156,204,660,006,031,050,915,349,309,037,897,660,237,126,
378,363,825,930,013,588,631,732,740,349,354,888,309,223,098,956,768,067,030,
803,496,991,257,610,081,630,569,261,624,578,425,137,825,680,973,842,843,496,
354,891,448,789,763,612,480,575,550,182,769,124,077,713,785,190,105,988,137,
195,199,457,370,943,905,109,806,761,378,141,149,841,579,542,988,525,227,730,
528,750,545,369,985,716,454,127,281,205,827,627,250,541,263,697,446,905,921,
314,188,321,894,935,282,562,883,933,739,520,375,753,202,643,586,038,593,233,
364,287,988,099,371,474,330,528,524,473,907,552,079,811,242,278,139,977,920,
574,755,496,012,331,433,527,927,049,441,307,622,102,219,388,799,462,999,055,
230,310,697,718,182,717,970,350,540,235,472,635,273,211,841,910,051,933,346,
789,195,451,287,190,808,626,727,402,560,560,702,621,147,895,931,672,116,169,
652,393,710,755,552,998,967,971,043,494,172,577,063,877,596,412,350,632,958,
023,671,093,482,231,294,631,411,007,853,200,162,387,680,720,208,258,531,107,
595,673,856,510,038,830,522,335,626,610,893,307,839,502,141,278,841,917,195,
574,264,762,536,035,376,487,854,857,466,021,473,448,637,608,902,991,182,497,
814,879,925,417,148,220,577,582,747,124,780,001,880,921,633,179,114,081,387,
068,112,350,475,162,483,055,109,540,285,473,644,742,437,872,371,195,600,376,
978,997,063,356,342,002,598,923,881,746,746,045,731,977,507,187,552,534,452,
688,829,592,414,868,247,036,680,539,474,459,932,575,483,373,016,400,989,500,
364,303,690,705,460,654,778,241,468,687,653,565,426,232,981,418,090,171,924,
229,393,351,877,533,407,490,684,600,361,230,372,664,560,539,110,980,308,565,
532,792,691,513,757,228,889,521,977,088,882,352,824,098,383,344,107,649,808,
113,364,188,550,502,558,358,502,191,739,648,387,747,148,085,103,923,893,583,
685,294,628,852,202,925,361,596,978,224,639,911,969,666,817,780,120,137,602,
690,282,850,280,498,863,102,232,147,057,493,328,089,338,979,319,088,841,564,
839,960,872,757,109,670,738,834,126,128,100,489,594,789,420,286,573,184,015,
082,165,997,097,527,673,113,751,550,820,515,972,070,503,907,387,227,110,795,
156,711,208,133,976,667,731,719,679,568,474,897,549,797,808,857,481,259,688,
874,733,137,330,864,966,503,952,463,293,829,797,142,285,709,162,071,910,960,
630,471,402,996,010,424,876,590,011,565,286,212,433,765,145,333,029,265,807,
279,668,946,602,282,991,150,186,193,664,583,061,455,990,643,739,836,628,658,
766,910,116,623,689,893,700,986,542,527,404,927,035,873,312,963,542,943,644,
831,326,150,900,446,045,872,596,705,010,471,588,416,910,914,695,539,203,160,
490,953,714,142,866,467,483,592,618,291,034,759,195,045,497,456,906,776,775,
184,664,876,461,254,344,793,667,717,095,566,742,575,078,993,105,364,652,692,
796,548,480,327,860,613,136,384,249,409,808,107,860,965,846,814,495,228,056,
082,768,776,553,271,318,243,236,486,473,123,849,150,152,827,307,687,087,902,
043,920,639,170,258,834,126,077,644,518,989,398,099,959,498,058,808,420,032,
039,718,123,308,742,829,518,735,864,914,077,155,645,746,076,286,563,926,376,
884,646,126,445,275,258,085,891,314,412,377,245,048,835,402,713,707,600,351,
368,300,544,868,352,916,225,919,563,926,995,568,697,478,571,503,957,267,654,
478,742,200,746,639,240,155,662,382,904,001,327,258,283,064,581,069,696,122,
194,361,198,151,342,955,502,778,324,108,748,649,987,835,237,411,302,954,948,
811,203,151,450,434,737,943,676,863,230,644,152,046,594,283,753,760,628,456,
741,054,560,595,118,828,157,739,299,091,413,611,375,445,997,321,491,958,637,
787,274,780,999,054,343,149,229,437,049,872,410,059,128,909,556,091,918,180,
257,345,815,423,301,045,797,908,081,901,226,423,756,858,933,714,687,012,896,
075,083,539,292,803,164,806,475,801,253,027,746,674,187,267,233,708,296,981,
551,074,954,410,168,774,431,269,594,284,259,533,530,425,600,834,918,490,597,
351,426,732,198,793,624,150,035,504,896,953,294,302,297,456,671,704,938,627,
027,818,898,882,571,866,632,777,588,498,684,382,236,482,725,517,299,932,952,
989,356,122,618,863,772,127,401,866,938,666,884,964,893,233,697,652,261,998,
880,046,120,473,264,991,722,579,611,189,026,462,537,469,902,754,684,938,891,
457,856,251,439,746,775,748,046,627,452,009,322,898,772,864,838,701,662,249,
261,049,373,601,948,362,368,978,242,916,325,978,088,647,614,218,994,535,567,
871,015,037,239,640,855,924,471,035,348,314,862,518,586,926,925,136,724,032,
759,268,682,018,722,537,707,553,400,988,011,614,448,071,561,618,973,418,359,
234,976,148,292,399,843,776,620,122,635,012,516,865,210,525,763,532,651,729,
491,959,106,853,750,885,930,753,264,851,083,519,992,496,190,145,902,859,738,
038,262,394,962,589,333,895,452,560,200,451,521,352,213,316,778,851,188,854,
546,350,069,734,767,365,743,238,321,446,202,951,047,234,733,544,406,421,293,
146,021,926,841,011,981,522,383,563,317,235,621,120,529,584,149,304,267,253,
882,086,054,103,993,908,553,662,189,044,471,066,448,493,433,423,354,323,879,
643,973,012,821,166,671,348,894,943,882,613,312,694,032,623,627,635,540,667,
267,233,269,758,209,643,126,595,323,865,664,981,048,724,983,903,702,203,735,
598,930,896,957,243,678,262,537,519,343,464,061,776,700,082,105,303,919,088,
418,382,517,106,980,729,547,871,141,294,030,426,175,537,183,056,812,389,971,
570,706,481,312,742,491,516,840,054,009,221,346,141,525,676,512,575,252,103,
017,582,919,116,284,510,793,113,312,170,558,433,502,194,447,362,582,826,381,
982,953,406,160,863,606,797,660,004,491,645,323,838,958,568,318,867,787,153,
588,693,059,535,327,536,463,224,167,122,315,838,520,956,391,215,300,993,234,
701,914,691,269,608,050,539,751,313,918,767,313,920,725,151,945,707,184,942,
141,360,923,597,753,856,938,268,722,914,252,191,889,405,780,410,703,254,143,
219,097,731,839,303,474,857,472,969,526,300,410,905,364,926,484,633,476,919,
222,208,009,460,201,082,594,370,129,297,541,860,142,771,228,577,885,938,241,
051,602,794,765,658,360,269,672,627,978,406,148,143,763,385,948,773,417,615,
218,740,906,543,855,381,723,526,407,869,944,460,520,119,145,677,699,625,415,
861,540,224,879,315,646,434,369,807,822,973,778,008,258,737,906,720,226,099,
550,840,180,218,399,428,632,092,996,489,828,735,565,969,242,634,906,740,728,
050,953,889,409,048,131,198,812,273,258,394,731,531,790,348,112,916,755,147,
792,156,618,282,261,741,839,115,173,446,560,933,561,731,085,104,205,215,169,
061,284,247,118,730,915,531,319,042,426,735,920,678,984,530,080,099,091,360,
862,271,542,363,832,851,732,811,338,361,483,886,553,528,176,201,134,357,772,
161,516,988,870,754,118,413,451,524,254,939,670,185,722,885,913,074,244,691,
801,156,758,489,772,568,803,649,055,433,019,790,303,760,420,602,264,970,775,
807,315,635,555,936,350,502,517,515,667,674,309,606,100,109,095,798,137,147,
622,384,279,506,965,589,940,536,183,716,972,756,436,435,389,923,542,673,193,
331,207,244,948,323,923,696,593,411,026,418,075,896,309,085,340,658,932,276,
210,785,104,913,776,814,218,871,393,103,225,940,225,745,576,453,475,699,966,
310,924,072,365,060,436,354,338,414,351,295,627,568,527,789,991,650,713,083,
791,733,751,044,054,289,899,616,957,798,975,336,492,710,921,727,113,556,427,
149,741,319,119,164,603,643,471,651,022,782,270,715,550,621,032,594,176,310,
699,338,565,260,964,916,395,303,051,440,207,297,117,115,479,892,448,971,182,
516,566,099,187,531,074,185,839,761,293,335,178,955,990,555,091,144,074,822,
986,760,686,764,286,700,398,936,725,920,702,831,302,206,336,495,733,606,462,
052,627,373,051,168,516,425,637,658,886,722,880,480,645,176,677,027,223,184,
401,752,263,635,560,261,111,171,690,471,493,393,615,040,915,850,010,670,761,
947,578,444,721,863,965,619,684,762,398,553,951,695,709,168,421,622,243,919,
060,635,878,136,491,748,292,896,393,935,664,076,201,484,428,598,972,153,131,
950,485,780,383,392,590,723,343,371,101,419,442,830,712,586,646,332,118,739,
009,423,462,408,680,586,079,216,233,127,653,523,793,130,236,442,010,185,334,
490,680,677,357,178,321,791,421,406,406,528,539,987,717,279,827,094,114,605,
278,950,311,742,356,401,296,691,511,859,366,294,874,174,151,866,628,048,019,
443,187,400,762,548,197,149,853,104,275,828,160,886,792,641,361,114,102,135,
073,106,323,685,637,402,846,280,276,933,050,638,629,584,665,223,702,999,482,
200,163,874,592,814,014,646,433,555,067,992,357,122,083,978,834,312,435,252,
336,833,622,084,790,205,792,097,698,323,531,549,237,154,443,350,574,813,854,
908,301,885,163,797,988,338,948,524,134,970,732,946,131,705,825,862,282,004,
608,030,502,436,416,513,300,757,535,080,712,285,481,391,314,348,831,008,672,
492,641,991,377,970,570,960,694,244,532,596,014,661,228,940,030,485,990,381,
211,205,421,746,683,787,066,154,030,350,592,314,620,422,006,454,102,798,723,
106,819,208,227,141,687,769,271,038,775,357,166,764,571,852,223,922,224,865,
121,041,288,312,008,197,573,590,929,680,035,658,469,018,494,008,868,672,632,
990,813,219,936,214,294,818,225,061,900,947,701,948,410,240,151,341,171,142,
470,299,012,378,309,046,166,396,665,363,243,120,929,258,415,543,504,387,160,
545,117,095,662,453,131,276,323,340,289,903,057,458,001,729,313,541,366,022,
196,952,980,553,701,285,740,364,185,410,405,442,866,450,022,755,330,598,036,
821,612,447,297,171,027,027,817,358,931,182,534,898,169,383,365,704,030,602,
593,369,637,397,387,096,985,066,706,107,818,298,811,209,074,987,248,200,022,
120,368,770,124,446,522,288,682,004,624,280,924,553,830,758,590,743,024,743,
789,071,351,890,515,640,639,236,721,977,164,019,797,610,624,560,740,615,419,
615,367,583,340,003,652,038,922,943,756,984,062,113,753,555,749,505,729,992,
936,187,804,472,839,986,886,728,227,652,267,063,430,801,193,105,772,261,047,
782,349,158,390,427,433,713,257,542,803,897,347,962,095,803,786,651,235,490,
688,392,285,760,444,625,787,763,794,523,055,309,100,453,270,865,941,908,531,
231,157,950,776,175,242,147,597,293,152,480,565,097,739,442,844,642,642,738,
597,547,531,079,551,049,532,398,099,251,142,664,754,579,924,510,231,256,703,
507,170,676,753,000,533,546,880,728,709,104,834,805,683,673,880,148,237,848,
040,959,363,501,091,271,179,570,357,966,549,426,549,001,060,215,671,993,539,
224,837,713,543,257,769,435,975,635,670,260,352,405,643,251,822,733,350,444,
096,906,394,665,282,150,395,944,087,525,075,732,822,495,015,433,673,892,852,
395,674,104,162,804,176,237,347,673,998,687,935,957,684,181,300,930,344,626,
346,262,810,122,727,443,387,758,232,767,319,006,330,315,649,187,776,523,223,
633,077,466,704,993,889,107,291,518,857,739,325,972,211,151,066,229,656,816,
777,223,784,013,376,741,194,523,718,228,446,266,129,301,676,129,982,943,025,
407,618,479,388,272,231,682,547,819,975,278,194,634,556,762,439,184,302,401,
657,105,367,094,375,167,847,863,433,594,751,217,883,380,384,832,768,991,671,
307,911,055,417,872,518,986,864,085,931,503,303,540,055,761,780,250,190,874,
297,972,857,427,731,855,897,468,844,085,691,406,537,089,449,333,795,886,759,
910,860,363,687,752,564,101,868,200,360,759,112,958,037,309,151,571,338,463,
942,348,674,366,836,023,673,418,769,970,660,551,086,227,117,716,906,000,607,
252,391,136,804,260,339,025,142,968,174,129,018,775,165,847,902,634,025,426,
791,812,851,115,793,851,589,553,825,730,356,042,694,619,712,822,551,387,577,
954,628,918,288,134,812,013,950,927,006,327,545,677,928,164,732,309,439,624,
023,282,484,607,430,753,242,324,495,819,792,370,768,725,883,557,339,178,386,
909,530,505,239,375,950,551,903,155,175,194,846,852,905,743,120,049,956,650,
180,599,953,964,872,425,486,322,245,499,395,842,659,267,593,667,047,909,089,
755,281,697,097,053,200,017,343,562,639,700,615,628,556,202,211,655,993,625,
004,632,403,440,699,943,975,885,258,612,405,816,656,370,074,009,765,544,098,
171,965,051,839,781,032,740,347,905,211,659,329,000,817,706,348,821,067,471,
517,037,974,960,666,220,695,296,287,350,500,931,650,102,845,077,145,822,927,
067,522,894,808,531,434,894,943,432,396,305,431,533,333,031,512,281,492,675,
117,660,556,859,515,607,549,568,500,910,716,003,198,966,890,794,668,925,429,
658,422,693,764,715,055,175,201,347,068,514,506,038,574,280,757,813,944,574,
859,210,735,192,152,040,805,026,451,038,071,277,857,066,758,110,267,854,520,
652,841,715,567,173,941,981,947,601,995,913,196,393,829,928,208,716,723,389,
065,514,190,691,456,653,168,283,785,314,108,587,151,726,734,806,875,334,915,
007,976,075,670,436,683,810,894,787,879,648,883,304,273,555,400,829,839,307,
639,459,225,657,159,042,634,474,728,060,344,814,347,876,611,292,717,450,894,
329,634,280,977,144,242,763,734,266,044,998,782,997,705,639,734,136,759,647,
977,750,931,801,164,975,298,377,102,846,986,064,586,409,711,897,395,892,821,
303,671,653,748,633,454,404,890,625,972,780,086,804,242,719,228,284,078,801,
693,203,215,192,201,736,314,632,033,154,099,660,980,535,613,164,502,003,727,
324,202,144,001,445,757,470,065,285,199,965,457,579,096,648,401,022,927,907,
088,360,020,830,146,962,231,915,645,976,022,805,110,886,082,369,505,782,988,
692,654,412,700,251,429,166,606,000,115,917,387,292,787,891,630,341,517,368,
358,397,891,878,800,841,798,373,057,319,922,043,205,851,139,524,555,106,191,
430,472,820,054,324,661,960,579,282,522,129,826,180,927,720,308,368,945,243,
508,834,513,424,474,819,532,949,169,889,914,749,128,903,018,131,534,733,095,
732,719,510,517,428,219,354,863,055,063,443,946,305,270,592,490,804,410,214,
393,538,684,931,777,209,328,940,869,319,001,306,379,313,923,801,874,202,784,
088,449,031,305,624,561,943,266,502,380,906,827,409,551,020,634,514,693,126,
720,872,829,444,802,053,878,596,383,086,058,222,290,811,249,622,998,510,904,
649,709,988,171,679,904,104,947,898,384,084,795,923,510,649,433,003,722,885,
915,980,960,936,439,891,267,611,350,495,140,473,754,943,025,539,873,891,486,
748,267,969,187,538,056,936,587,582,865,795,439,193,266,830,962,034,769,836,
152,344,058,696,349,448,979,366,716,307,332,712,377,060,774,050,141,877,926,
150,641,494,657,328,511,349,758,531,865,158,102,603,756,899,328,852,810,934,
881,684,138,830,279,741,748,989,855,987,546,107,625,920,552,455,909,267,616,
185,781,852,615,207,312,269,881,871,834,927,141,985,202,416,880,757,541,853,
558,201,218,271,533,874,719,593,836,101,846,588,777,294,389,395,631,277,552,
259,527,212,444,561,319,868,290,059,066,014,199,169,112,808,162,211,296,885,
099,047,901,019,193,555,542,761,810,246,587,870,262,891,048,849,371,582,799,
027,176,805,538,615,783,620,211,955,905,919,612,028,606,726,826,736,809,258,
813,173,321,685,176,435,129,285,218,505,905,371,262,700,445,703,413,754,843,
382,686,069,798,449,503,572,865,658,908,539,465,048,592,057,142,223,553,597,
975,383,624,127,138,934,848,571,971,476,980,705,401,005,139,017,350,965,326,
347,061,615,726,562,107,735,250,727,374,467,611,719,161,022,867,154,723,361,
269,816,371,716,513,198,461,321,021,391,472,322,708,080,168,031,173,102,487,
273,849,761,363,586,539,485,369,165,560,804,920,723,534,323,401,432,299,316,
780,302,054,424,514,229,001,350,886,267,741,503,806,180,207,863,565,165,798,
173,801,194,572,330,168,100,613,810,433,053,350,156,133,654,906,081,309,862,
183,406,105,496,909,078,611,014,738,609,924,606,897,005,367,681,090,087,514,
388,722,826,943,470,686,904,572,938,658,096,131,365,844,990,430,564,695,212,
649,935,705,162,696,010,648,426,093,610,183,664,783,056,610,680,026,250,769,
575,877,866,442,424,460,775,128,078,851,864,651,608,290,930,065,891,379,637,
076,573,164,749,477,758,093,484,193,414,683,261,558,996,871,351,675,710,060,
357,592,509,141,148,575,265,587,492,990,827,082,746,247,958,706,492,628,979,
774,146,256,972,923,393,240,799,561,966,338,376,483,925,143,063,291,817,582,
948,803,353,058,008,613,705,749,412,421,689,218,409,363,382,404,221,197,310,
370,806,056,463,761,511,238,530,529,152,941,773,601,512,039,765,749,079,462,
730,022,716,204,674,170,263,003,451,562,076,718,572,096,632,928,554,614,400,
444,505,239,480,742,335,607,703,840,858,711,417,121,468,042,703,574,766,660,
707,289,326,808,730,639,312,095,695,625,864,636,529,347,374,519,131,614,653,
984,106,173,120,691,559,491,093,214,415,002,324,496,195,422,955,867,840,426,
132,704,699,421,915,416,444,482,097,109,075,270,335,811,250,467,894,904,388,
858,547,064,621,805,306,519,608,465,068,245,855,363,897,420,844,776,150,694,
214,995,632,657,622,569,649,012,711,054,717,046,788,405,635,516,060,226,083,
634,649,891,327,862,314,741,434,313,780,493,682,678,764,166,125,212,093,600,
535,008,147,208,941,836,815,020,196,384,140,417,912,889,578,542,978,735,078,
442,177,447,652,900,671,535,576,369,663,769,084,000,848,309,683,360,205,764,
336,677,261,375,200,099,276,775,740,002,857,452,924,634,844,518,253,053,792,
020,900,704,962,092,688,456,269,497,093,461,437,457,930,204,087,694,324,813,
082,343,117,657,885,424,723,640,830,892,702,999,411,618,602,484,886,050,922,
128,017,199,882,876,208,587,099,881,512,922,180,676,887,547,563,199,776,736,
066,995,695,919,778,463,822,353,609,274,288,378,423,544,977,906,731,128,060,
417,248,090,537,252,893,857,283,653,978,214,157,261,342,233,839,346,122,813,
595,869,344,227,586,962,478,292,287,993,662,789,818,751,991,662,775,202,135,
040,828,798,229,960,072,354,100,665,480,928,335,595,649,110,150,199,514,032,
283,192,434,837,175,833,987,359,845,773,427,112,008,437,092,241,561,879,089,
271,484,200,085,271,090,709,744,922,058,910,883,781,207,039,062,631,883,769,
139,787,058,563,560,724,104,864,116,161,641,149,140,056,072,625,479,448,868,
503,202,316,565,840,319,247,267,930,506,167,926,710,885,209,296,540,653,730,
412,602,981,565,340,056,946,912,793,507,915,959,481,316,449,928,895,866,679,
487,779,792,184,030,431,741,454,798,226,349,599,994,305,806,754,936,854,451,
068,922,383,375,115,932,775,275,042,360,407,832,445,088,088,962,127,543,436,
588,741,846,621,548,467,809,187,503,947,949,602,882,909,163,152,937,592,855,
247,212,775,274,506,962,344,309,917,386,040,559,170,172,332,139,215,253,638,
682,496,309,502,690,223,286,594,738,200,265,333,048,264,465,912,357,086,594,
402,289,838,865,659,626,485,160,603,210,967,941,429,397,522,573,520,562,401,
188,905,684,653,034,369,270,773,466,739,734,480,916,424,997,963,758,120,570,
258,997,659,222,836,975,793,938,329,936,534,266,879,697,199,140,602,175,138,
589,797,810,834,737,746,570,229,842,469,912,530,362,424,069,698,301,629,432,
613,021,536,244,050,146,931,827,084,575,413,091,834,414,908,355,494,943,116,
424,778,111,647,990,768,609,687,337,473,841,434,616,069,728,198,652,898,294,
686,168,563,678,416,313,194,713,321,153,488,607,290,763,991,246,147,198,795,
466,807,557,863,628,206,214,632,475,764,400,496,993,258,004,713,586,242,332,
378,501,463,900,350,790,628,524,550,795,083,785,138,914,905,414,599,027,822,
279,707,578,403,709,917,890,011,119,212,354,147,167,106,900,353,880,198,601,
330,191,522,844,516,600,000,149,259,310,142,520,473,576,945,154,860,381,310,
609,132,329,347,456,607,394,570,525,103,135,589,924,381,317,253,282,672,257,
303,516,792,472,397,822,673,064,223,208,819,595,669,000,666,690,694,459,068,
080,302,838,725,437,984,069,496,811,117,968,240,059,234,827,884,178,613,936,
403,730,045,255,510,554,740,527,157,969,123,770,482,621,286,865,453,391,117,
244,102,250,319,204,111,636,747,222,853,646,451,367,427,436,090,925,812,558,
625,714,713,602,336,088,720,633,691,921,167,727,885,551,821,728,760,418,385,
708,963,405,966,238,075,063,397,616,439,097,889,922,196,228,624,139,242,619,
974,582,684,167,273,627,474,681,207,184,805,561,463,781,777,246,391,138,992,
200,356,942,182,283,857,491,972,157,762,116,293,043,591,230,666,015,912,312,
790,702,009,496,564,119,440,398,771,886,447,821,443,701,072,743,228,666,644,
396,793,283,631,331,656,187,052,913,023,009,664,793,830,766,620,748,582,504,
823,470,459,507,794,638,423,832,146,545,018,651,356,640,424,059,286,147,531,
733,916,424,797,916,679,235,555,516,289,923,566,276,672,216,951,084,591,417,
290,175,644,200,289,367,210,044,437,777,922,584,343,802,804,898,237,540,894,
074,751,839,952,939,744,572,838,857,255,273,193,353,053,710,136,386,966,941,
209,421,315,094,209,825,383,131,630,707,148,415,327,491,416,553,034,138,421,
569,679,405,858,344,676,628,145,899,884,238,474,802,183,014,446,023,893,369,
287,079,579,656,924,393,197,703,080,651,587,426,681,044,109,490,764,700,498,
945,635,360,597,230,804,085,531,804,411,116,371,092,707,869,444,289,557,708,
379,549,225,771,541,663,362,756,662,273,161,966,811,671,736,527,326,012,939,
875,840,881,778,475,836,366,667,985,574,947,567,030,346,376,729,256,204,358,
833,301,983,574,109,464,744,496,415,071,167,957,676,759,716,388,939,064,285,
809,469,530,623,594,081,851,724,350,371,080,677,187,654,625,672,575,541,884,
746,181,530,936,098,851,809,062,484,378,623,581,718,537,961,175,187,661,821,
773,596,722,789,420,248,604,396,588,100,722,443,389,262,367,740,661,360,505,
522,205,534,649,839,342,603,960,343,950,711,807,770,403,317,164,709,604,340,
294,091,759,171,099,043,134,421,563,580,488,809,822,871,547,191,523,934,427,
625,808,958,620,331,657,486,045,950,084,208,897,573,444,583,298,975,016,165,
785,505,107,201,825,584,185,090,899,610,497,023,528,697,019,958,531,660,840,
974,359,045,061,203,637,572,033,002,629,041,188,595,044,290,034,340,029,964,
735,850,738,375,333,100,140,470,669,840,285,306,569,836,119,276,952,101,601,
502,486,055,524,977,432,048,908,227,943,544,675,860,431,670,373,938,812,280,
066,664,162,910,033,885,376,004,528,450,752,712,844,751,597,838,774,160,970,
382,032,527,271,030,315,702,169,840,117,386,293,082,755,041,090,091,828,947,
088,156,883,726,609,493,166,744,847,779,919,739,339,257,783,927,612,178,769,
941,557,465,102,847,941,863,350,849,635,089,019,730,103,460,160,070,542,910,
154,998,002,720,466,988,733,038,693,428,098,182,813,478,752,536,517,546,268,
720,682,507,842,249,845,005,594,188,482,334,053,282,437,219,042,346,865,321,
946,996,432,399,177,347,150,439,625,016,325,469,322,393,729,300,173,167,254,
304,558,503,267,635,844,642,204,427,011,749,770,030,676,244,853,976,099,230,
375,984,077,197,838,241,431,733,613,103,770,257,807,511,255,465,539,499,395,
960,083,700,636,022,635,277,313,002,381,525,230,279,750,005,853,790,780,664,
978,640,958,622,795,847,850,062,579,344,450,223,636,906,973,376,593,048,171,
241,846,951,630,755,623,429,586,784,973,286,468,599,670,581,362,032,695,659,
547,518,808,584,385,998,872,896,596,686,196,152,147,851,915,643,779,179,269,
786,084,869,484,006,707,970,474,262,466,608,873,161,807,715,966,969,074,472,
891,010,598,378,828,335,861,453,725,148,444,613,792,059,844,778,864,311,147,
679,461,652,617,554,960,183,505,109,151,347,185,167,830,426,726,059,656,414,
806,050,650,208,084,621,434,407,528,812,467,792,361,606,382,185,088,894,540,
149,900,054,290,140,316,948,367,492,638,057,985,972,859,033,783,997,676,589,
991,718,865,822,053,202,616,898,602,649,526,153,955,898,339,157,852,951,555,
526,344,526,779,041,756,950,778,879,101,110,975,541,492,020,008,693,227,718,
333,214,081,314,838,200,343,204,224,947,262,917,258,863,157,731,119,394,209,
969,988,928,194,816,281,001,416,427,251,903,875,305,187,808,748,820,758,798,
965,912,734,500,112,515,181,324,707,682,617,133,390,022,338,869,300,788,714,
786,890,771,802,267,643,328,454,198,862,402,401,693,971,624,224,449,524,445,
850,520,877,234,505,413,996,567,355,516,639,104,591,625,756,093,008,326,147,
946,655,119,485,935,605,943,465,662,315,169,185,832,404,950,871,731,319,423,
001,845,838,024,257,404,421,549,732,219,063,970,812,449,537,894,744,255,436,
736,025,611,918,723,410,336,395,675,751,740,580,491,653,313,156,486,019,515,
593,299,258,548,103,155,575,958,488,136,341,140,382,491,585,255,368,975,328,
260,403,997,844,183,304,152,854,510,990,114,072,489,086,104,212,327,995,993,
650,315,026,722,360,373,116,484,868,298,507,306,600,833,466,652,785,413,171,
197,229,346,245,621,872,760,250,119,780,174,938,595,320,180,227,659,120,607,
008,151,240,560,316,863,749,856,636,577,191,975,986,703,787,533,232,035,502,
355,072,164,051,367,766,118,605,732,789,432,629,968,113,668,109,883,405,129,
477,025,404,747,407,969,713,435,828,329,435,655,249,526,724,325,620,690,118,
030,546,352,648,532,807,320,463,436,258,928,073,751,276,428,213,004,320,765,
442,429,208,078,046,519,469,112,270,759,287,822,145,060,253,264,915,899,721,
029,805,276,279,211,005,880,326,647,674,956,082,480,609,643,044,734,039,554,
635,611,901,986,813,437,421,439,183,672,213,574,484,784,929,958,182,001,515,
838,458,864,837,225,637,230,853,702,377,842,318,934,370,151,908,560,915,384,
884,170,507,283,393,516,670,949,159,779,572,639,736,137,857,133,685,210,291,
728,950,337,730,004,127,860,835,266,725,142,230,889,591,820,380,415,730,699,
858,496,200,150,066,314,849,626,902,265,786,330,025,479,293,955,652,303,988,
753,106,397,333,035,459,625,936,391,417,314,620,664,669,083,899,877,013,246,
053,329,802,281,471,408,235,032,134,986,380,689,516,058,115,192,386,073,361,
533,760,806,642,552,211,025,487,858,520,892,893,934,666,870,726,688,787,639,
434,883,062,462,470,785,990,133,880,191,550,632,035,337,502,011,288,813,839,
013,141,775,167,642,921,568,749,680,273,007,008,155,624,330,792,256,857,405,
441,143,477,739,993,317,932,046,876,284,302,120,848,215,274,919,531,922,202,
184,125,835,954,565,048,855,377,937,018,041,044,059,343,907,784,629,732,606,
700,276,411,779,626,114,720,714,111,957,704,707,887,579,388,767,258,831,434,
422,296,347,621,128,159,931,091,005,724,380,377,708,628,480,574,885,936,776,
142,823,525,857,099,465,361,948,513,191,013,682,803,531,945,285,437,730,232,
631,412,418,393,104,986,577,843,158,136,933,433,914,997,247,401,820,869,905,
068,256,818,950,599,381,163,867,497,191,949,803,892,974,357,211,522,260,451,
725,376,472,913,250,549,903,248,592,688,238,117,351,930,829,086,892,963,346,
815,026,086,991,798,208,628,103,777,265,257,316,804,464,991,175,465,688,129,
047,156,287,235,730,104,927,836,353,554,700,416,421,891,581,514,804,120,298,
923,394,251,473,646,037,439,963,046,078,440,610,870,614,639,925,979,323,489,
187,724,967,033,517,556,552,810,453,558,593,003,783,731,094,438,474,637,731,
292,639,007,667,662,484,943,319,867,477,291,603,852,290,060,409,000,783,250,
026,502,472,275,886,300,107,469,328,438,363,383,918,369,192,035,644,388,009,
816,895,900,295,871,574,632,882,947,950,591,930,545,270,327,864,303,839,637,
354,315,498,492,378,937,878,761,946,952,421,212,833,342,173,277,815,479,272,
006,182,468,585,314,159,060,688,700,871,813,259,098,890,738,858,024,539,773,
188,687,254,302,563,164,553,962,153,923,512,630,520,246,342,535,928,836,954,
511,567,971,547,870,274,384,229,525,478,770,199,555,925,149,554,249,084,628,
199,646,621,397,867,693,113,142,975,800,231,361,043,356,178,255,247,224,586,
470,823,804,660,043,180,826,037,402,666,000,198,191,270,175,537,130,731,813,
010,259,977,800,223,688,834,383,860,273,944,792,683,271,113,130,077,093,715,
643,727,446,241,174,327,079,124,806,027,809,154,288,866,999,969,461,951,629,
318,625,776,139,027,498,044,223,393,389,787,702,985,707,417,401,383,466,721,
813,794,176,764,897,982,662,692,300,355,285,410,907,354,761,828,991,726,859,
680,293,127,150,676,468,332,975,870,448,278,922,447,642,724,039,682,570,189,
429,132,603,998,053,899,607,235,972,663,397,213,207,787,616,197,571,219,943,
700,763,118,775,434,686,927,801,350,153,321,554,984,748,473,054,023,270,658,
877,851,896,468,279,178,102,744,614,583,531,645,795,536,301,930,850,240,229,
568,287,255,683,329,243,161,208,438,042,626,907,124,923,428,745,549,863,548,
698,782,481,077,476,087,821,923,807,038,421,938,296,200,074,763,578,691,369,
618,085,969,273,585,553,524,557,823,989,677,292,065,625,193,968,703,947,990,
745,991,548,989,721,174,050,505,397,703,882,585,174,867,041,778,406,748,906,
403,302,469,308,928,115,730,662,307,786,626,192,849,665,654,135,983,716,829,
128,021,547,447,221,461,956,156,066,622,037,936,694,011,256,188,909,433,992,
812,173,426,387,313,323,137,874,574,208,677,503,763,666,056,724,306,182,659,
435,184,332,593,873,764,863,566,625,134,129,366,662,663,940,229,853,511,470,
477,883,820,505,122,302,234,312,189,922,873,245,103,948,422,701,266,149,046,
190,468,508,547,900,497,927,263,409,128,389,992,876,058,651,024,621,978,769,
610,831,429,648,814,007,896,189,984,784,700,730,168,058,666,563,367,853,596,
830,526,365,381,704,166,209,774,624,814,439,714,871,451,516,085,351,876,591,
637,721,194,208,847,287,096,431,144,536,305,129,970,209,297,534,634,771,952,
044,258,295,205,268,787,043,365,126,033,215,580,575,767,469,364,279,727,372,
044,225,669,252,165,251,235,162,204,848,228,713,200,313,125,171,294,366,767,
233,885,015,121,413,598,376,911,231,608,278,581,085,954,479,902,337,714,126,
100,517,867,186,551,609,678,348,179,958,951,136,292,245,892,766,566,463,969,
676,479,104,510,176,456,981,994,362,682,459,579,874,022,771,108,807,774,716,
914,301,489,672,826,913,494,369,311,327,477,592,778,445,319,615,362,012,464,
423,210,052,664,637,069,559,496,788,107,079,343,717,715,712,915,071,039,565,
162,122,104,470,584,717,242,962,488,696,520,086,315,066,934,307,860,620,099,
637,376,826,671,771,165,911,919,794,472,686,630,864,339,163,844,357,399,712,
346,003,081,329,604,949,474,208,341,156,887,249,161,524,961,909,008,346,799,
803,990,889,240,054,878,051,607,230,354,490,955,897,694,371,691,312,475,392,
628,643,461,755,611,639,251,745,262,647,463,697,451,998,666,006,689,656,114,
149,213,460,497,608,571,803,652,604,538,966,560,227,984,628,071,416,684,923,
020,405,200,783,926,336,388,393,144,626,725,787,687,809,808,495,520,422,804,
121,411,638,712,474,262,354,686,622,670,034,713,488,400,657,501,001,782,442,
874,863,440,127,838,013,856,064,118,612,803,480,349,253,548,527,632,881,984,
683,321,789,091,589,481,837,071,008,199,669,557,444,604,180,517,302,185,233,
785,460,439,732,979,357,114,909,866,483,115,373,752,012,564,802,104,090,344,
741,247,879,617,280,324,898,440,379,399,983,990,394,269,854,455,171,649,412,
090,053,643,262,634,033,284,228,084,300,510,197,584,777,371,313,349,901,018,
330,160,177,934,063,965,896,829,824,565,671,087,957,403,215,441,032,268,918,
904,712,985,412,716,346,332,270,024,852,287,534,685,174,259,640,120,960,266,
894,224,854,331,930,833,617,162,058,315,492,621,213,534,860,284,468,109,567,
001,821,529,522,204,402,248,658,816,985,236,804,893,953,952,844,280,178,047,
560,807,111,321,554,256,381,366,226,399,768,221,151,407,114,500,238,651,959,
457,472,215,777,498,637,525,055,546,306,095,208,758,093,513,429,070,396,802,
660,635,666,047,279,103,469,845,501,601,342,068,548,921,763,228,082,077,303,
296,608,102,346,595,986,179,454,674,526,679,492,513,063,642,797,156,278,220,
843,321,024,113,818,571,723,942,120,250,721,194,815,645,888,644,837,225,763,
050,181,407,229,670,047,383,153,850,165,526,731,093,125,237,103,831,881,671,
922,569,429,125,640,347,681,540,204,368,750,760,985,916,272,338,925,887,161,
265,092,235,529,766,344,519,733,548,645,030,451,119,254,445,375,817,448,961,
621,692,714,883,077,162,823,845,756,898,583,740,950,657,998,359,481,346,314,
201,641,272,328,038,743,140,224,769,339,062,971,720,743,998,035,787,578,914,
898,311,947,523,665,149,722,804,496,596,253,528,624,290,013,125,032,524,591,
562,062,812,660,393,153,389,536,641,456,975,275,137,740,344,883,139,826,805,
178,148,933,436,094,479,669,547,972,857,741,131,549,666,117,555,632,340,189,
720,057,494,430,003,477,155,519,641,818,502,942,827,886,150,561,464,722,088,
987,443,953,104,842,627,528,117,744,795,696,515,201,783,551,702,657,292,623,
670,052,148,011,278,755,155,387,339,274,472,480,093,567,716,040,314,631,159,
815,374,026,122,421,502,019,948,892,028,330,606,506,022,629,184,002,781,516,
387,560,111,124,801,410,265,054,991,851,417,692,949,005,429,484,684,112,408,
248,359,274,275,537,135,014,327,328,511,480,070,629,036,107,192,015,245,894,
901,582,836,857,780,840,216,814,481,993,864,881,508,378,865,754,973,594,325,
672,122,354,521,519,250,929,844,039,533,232,754,800,015,220,629,854,303,762,
021,953,977,658,344,598,873,190,936,678,707,512,823,710,745,840,422,381,275,
402,046,342,257,217,692,344,569,391,755,144,914,012,945,370,475,880,174,003,
239,657,731,628,773,795,423,108,157,328,268,935,343,961,896,711,768,517,522,
429,309,620,246,077,303,393,661,127,101,932,139,739,173,939,668,361,340,082,
839,827,952,824,790,762,987,979,374,302,416,598,836,609,758,590,234,405,811,
488,779,975,739,597,360,993,003,197,674,752,108,739,198,492,842,999,878,960,
734,078,534,223,836,264,865,080,180,564,415,516,193,243,033,955,895,258,457,
550,042,884,376,855,600,960,349,989,488,675,114,596,920,602,065,447,558,160,
458,186,643,269,390,802,576,534,074,764,673,644,134,362,443,618,321,905,753,
352,623,695,768,261,335,019,656,720,693,292,965,390,430,765,881,966,024,645,
600,070,820,091,750,319,450,241,076,479,446,867,156,174,948,310,549,742,659,
770,536,010,360,846,620,460,705,089,301,702,977,924,730,017,012,635,218,407,
969,346,043,514,778,037,440,937,968,140,951,298,165,895,736,127,351,814,133,
787,012,040,394,130,392,797,297,217,574,390,439,919,413,351,908,424,898,810,
992,638,822,940,491,667,924,678,178,943,929,558,392,056,346,107,727,410,818,
761,366,910,773,076,033,751,351,609,961,208,626,285,613,723,723,511,249,107,
628,369,100,657,378,046,034,331,305,602,806,744,889,305,669,778,848,123,144,
658,856,732,513,109,458,234,287,951,869,246,613,331,525,001,103,281,035,983,
519,363,411,859,027,548,862,340,461,727,142,918,598,594,302,367,081,010,453,
860,161,823,868,852,151,748,707,597,490,703,272,085,426,905,896,508,078,500,
546,717,129,692,223,927,050,711,267,437,644,927,882,571,935,697,058,343,854,
214,522,977,027,958,496,429,351,798,810,786,560,561,943,202,999,102,100,904,
439,658,675,176,237,216,339,494,934,545,147,613,305,753,119,253,505,709,348,
808,020,352,768,087,052,080,278,022,327,692,369,837,150,119,942,754,752,089,
381,034,471,690,359,776,062,856,603,526,643,201,824,480,127,954,735,218,546,
340,490,650,628,064,603,684,851,597,529,138,411,193,990,934,243,767,557,519,
628,950,508,825,461,635,408,121,204,357,283,245,104,255,599,626,654,474,861,
591,050,576,552,706,338,603,677,581,396,169,620,140,803,180,055,832,551,812,
189,014,206,600,638,628,241,856,839,350,953,149,888,581,541,468,102,199,960,
415,125,459,326,154,035,790,716,187,845,006,467,997,915,330,561,184,231,841,
773,802,609,242,814,139,724,547,638,420,856,624,334,715,349,784,311,065,745,
473,482,037,463,092,502,772,829,357,686,419,603,623,263,296,098,841,714,124,
959,560,263,097,508,324,237,583,811,086,385,023,159,784,889,700,965,059,092,
398,810,118,508,903,920,106,902,136,283,136,503,110,950,859,428,346,106,164,
810,919,893,268,787,353,480,553,153,328,341,470,100,458,851,134,689,644,417,
684,417,352,718,303,478,447,803,155,283,251,314,282,423,045,811,007,193,597,
978,405,982,057,415,717,408,887,293,145,360,190,433,888,840,010,844,457,043,
314,829,127,972,234,373,442,275,745,178,093,629,277,372,304,303,586,622,560,
307,356,568,581,423,373,672,803,981,063,028,764,819,054,975,614,134,016,978,
308,548,934,421,024,406,445,349,807,559,526,167,419,462,270,250,684,576,426,
765,693,087,138,246,852,202,497,220,759,083,391,123,749,410,392,791,415,914,
412,579,679,654,494,490,826,032,425,375,315,230,289,540,887,070,266,711,107,
595,927,033,862,283,202,906,679,099,203,263,195,654,929,604,049,275,221,736,
780,709,825,132,347,157,870,350,991,414,202,986,213,908,862,024,539,593,403,
790,724,786,209,983,339,611,567,116,805,387,786,914,248,163,341,949,698,017,
551,497,891,419,497,027,944,267,256,055,676,306,085,095,707,886,567,802,900,
847,192,843,580,552,142,195,171,951,466,419,026,712,041,167,477,484,593,007,
189,441,990,447,063,228,967,922,232,203,427,011,391,840,423,523,118,213,170,
592,466,118,135,955,371,147,407,220,230,978,099,828,869,240,930,135,249,311,
715,885,665,397,209,677,333,192,718,073,143,830,550,360,674,052,136,595,101,
933,905,171,644,211,286,049,343,657,054,580,118,826,730,604,447,090,619,981,
886,520,214,544,363,812,024,855,256,128,377,293,065,479,037,937,151,675,070,
079,168,576,775,376,271,764,107,776,125,245,737,689,713,491,556,186,466,140,
307,017,003,063,034,211,524,485,713,512,314,666,214,054,373,140,863,174,159,
467,438,148,515,791,723,778,420,011,247,721,532,718,546,241,808,213,740,559,
791,596,784,847,053,674,703,243,475,972,103,624,635,884,166,657,506,735,063,
646,888,713,645,199,132,433,940,331,852,194,458,399,887,760,177,431,194,376,
594,642,017,760,944,890,182,735,414,449,538,246,592,475,662,809,252,129,513,
113,217,658,863,411,993,451,623,844,615,547,345,124,366,966,531,401,339,678,
223,249,968,066,068,655,733,913,101,305,889,530,065,782,880,151,647,321,335,
432,333,349,896,324,397,257,692,874,974,312,217,425,417,279,416,240,870,061,
305,315,344,214,620,539,696,783,402,017,151,136,427,939,898,609,475,484,325,
796,078,267,533,513,447,304,163,946,674,116,927,183,697,143,097,351,591,700,
101,445,165,538,877,043,841,341,056,298,485,445,043,310,783,404,703,693,243,
264,426,495,892,558,869,677,724,443,870,707,079,164,771,776,059,689,498,977,
074,416,647,278,845,486,925,389,792,405,869,841,958,673,937,328,179,934,985,
963,412,585,745,229,471,670,400,791,231,143,103,775,590,085,848,555,141,698,
650,296,709,972,576,506,692,894,961,862,437,371,482,041,736,448,198,464,707,
776,790,130,579,152,566,030,226,345,209,670,208,823,269,374,305,645,918,919,
050,720,751,141,715,906,814,234,425,770,562,078,252,434,179,311,802,388,881,
864,671,672,279,914,276,152,890,967,760,237,114,538,126,322,450,860,448,680,
356,370,942,029,162,556,952,771,860,535,958,201,471,940,442,068,490,644,649,
161,673,897,499,907,743,285,021,073,513,780,443,742,839,557,283,585,389,525,
376,360,170,029,103,599,267,088,044,543,064,010,175,314,036,646,240,335,137,
471,567,304,690,086,087,749,175,754,131,450,635,069,557,638,006,028,528,692,
194,526,087,650,490,481,718,232,250,689,206,914,210,025,407,889,524,014,833,
210,269,843,190,691,294,097,782,302,125,879,990,729,267,324,666,210,609,056,
985,245,034,982,892,463,176,554,370,689,085,283,570,744,034,369,593,738,689,
501,635,561,009,813,609,148,217,554,408,794,390,029,146,129,258,768,197,289,
951,478,140,512,821,654,892,502,443,609,412,869,991,555,508,680,831,580,553,
355,259,476,889,426,845,588,846,961,012,012,308,569,433,660,688,773,290,987,
423,400,711,835,803,339,901,979,177,922,318,713,349,120,070,880,198,293,379,
970,114,675,257,268,029,405,300,893,494,861,095,550,999,668,158,907,095,428,
107,323,735,387,030,880,024,345,911,042,486,428,549,885,748,648,681,056,259,
015,133,930,498,829,111,873,164,239,392,961,250,080,258,597,619,558,964,277,
590,596,565,928,804,681,791,527,486,526,587,378,257,552,905,201,636,815,226,
602,639,101,249,679,431,110,482,173,284,931,079,287,155,244,263,397,720,933,
817,837,156,902,647,839,977,314,159,693,980,586,058,033,819,861,362,768,787,
550,255,081,982,831,759,522,749,658,775,775,779,159,527,510,149,266,507,243,
227,599,073,626,961,717,285,054,377,457,718,359,575,468,866,731,596,933,524,
173,851,183,960,973,031,665,997,857,719,884,283,610,941,076,566,363,866,145,
725,132,487,512,855,791,945,750,270,743,033,910,444,509,696,161,212,187,441,
903,359,728,804,757,701,813,245,751,879,499,231,289,171,640,761,527,657,435,
467,805,913,623,378,194,024,182,203,745,474,229,384,654,078,640,098,220,565,
092,624,065,826,514,267,764,440,295,813,692,712,977,008,017,778,266,043,843,
024,259,483,893,616,266,615,780,781,470,030,050,699,764,203,827,560,763,416,
477,397,101,537,808,151,559,563,325,382,882,731,561,827,496,367,047,881,478,
544,264,156,580,398,320,320,365,103,470,243,881,380,189,589,645,977,172,424,
652,505,891,394,808,356,829,363,700,314,604,785,275,461,009,977,288,140,212,
447,317,212,434,350,102,023,064,457,520,283,448,923,657,709,076,770,018,695,
065,423,081,060,672,966,854,712,058,890,286,225,419,077,960,736,583,086,439,
177,407,669,632,028,180,119,450,864,320,199,779,951,848,799,328,802,292,009,
656,189,367,194,418,616,901,636,603,939,861,521,019,674,634,751,674,364,482,
711,801,816,415,939,612,734,079,854,324,501,267,507,308,361,447,125,665,047,
370,875,906,480,917,137,625,400,475,102,924,368,585,433,913,104,932,253,314,
606,393,883,035,904,309,450,170,359,736,338,564,554,815,170,915,276,252,936,
263,277,866,931,442,230,677,056,896,977,088,334,880,498,416,721,701,368,390,
979,708,933,600,632,154,138,535,360,345,880,005,459,529,588,356,753,081,629,
123,688,316,532,004,525,251,043,170,227,681,301,411,374,376,833,003,413,312,
629,737,718,867,965,270,230,305,904,282,564,873,291,129,191,461,664,214,514,
325,702,336,354,526,427,874,601,773,806,962,962,196,642,879,471,520,898,160,
716,476,137,053,648,772,058,182,702,595,737,567,452,902,939,177,043,731,044,
427,238,829,067,277,221,068,595,957,661,273,713,981,317,382,478,364,612,065,
820,367,402,039,549,059,224,668,261,316,617,633,705,588,355,077,120,475,053,
239,204,190,098,332,430,562,082,045,191,744,491,665,631,289,151,489,369,646,
642,492,390,967,396,995,186,641,076,311,643,204,456,429,363,601,515,533,652,
942,418,563,339,066,499,741,998,856,840,049,073,323,765,840,570,842,650,806,
829,739,280,423,551,676,142,424,132,053,003,352,662,898,483,357,041,061,129,
744,615,352,958,889,384,997,988,933,231,025,776,647,318,954,907,679,933,988,
145,387,854,698,049,306,997,914,394,855,944,617,382,181,960,530,609,111,460,
994,094,420,345,359,847,205,776,375,274,441,766,914,041,716,122,345,466,294,
550,240,854,111,597,742,858,493,026,169,200,516,459,316,512,414,221,910,013,
551,715,649,785,515,186,495,498,695,063,720,674,372,134,415,326,337,524,872,
170,335,560,486,434,666,273,927,903,461,244,119,268,302,416,130,667,326,432,
618,510,032,504,424,352,047,569,971,285,951,729,233,819,192,822,142,589,606,
305,925,114,963,610,369,601,739,236,683,001,475,973,413,154,914,510,382,086,
736,285,543,936,733,007,884,882,341,575,852,667,927,715,326,904,256,871,884,
261,421,037,406,640,633,020,760,754,720,725,962,225,139,757,343,857,235,886,
196,289,898,919,999,355,497,063,525,707,398,076,403,763,586,798,734,694,464,
797,880,005,580,910,515,192,037,055,443,514,939,389,817,273,844,515,412,740,
444,255,957,816,661,569,115,093,454,212,748,534,602,770,400,066,621,099,892,
857,536,541,236,277,178,192,495,924,163,656,685,241,436,381,413,039,093,012,
117,949,092,314,817,535,297,493,122,841,305,137,171,739,505,043,094,133,263,
582,049,820,943,103,149,916,926,344,405,411,494,475,766,400,298,426,139,861,
286,325,186,345,367,405,054,233,389,203,733,023,453,757,872,840,504,929,057,
506,778,401,583,027,567,376,520,109,589,985,177,451,809,127,844,233,032,955,
771,972,929,313,633,178,738,567,513,698,861,872,891,680,349,079,875,000,564,
101,938,934,697,995,483,153,433,112,922,187,698,180,932,448,905,932,939,422,
319,792,110,623,405,975,493,321,188,829,443,843,795,864,705,127,865,930,417,
510,351,124,426,235,877,468,707,264,321,343,932,946,280,083,324,284,569,103,
894,812,887,039,044,556,863,045,589,289,463,136,123,460,492,499,619,565,609,
215,797,242,766,581,084,284,338,071,796,786,370,366,853,296,889,282,601,214,
296,167,237,747,134,742,735,671,352,329,306,406,450,976,979,277,862,475,126,
019,884,217,376,297,351,938,410,777,479,210,507,809,327,987,388,957,678,197,
856,533,978,135,897,992,826,685,811,655,082,019,644,172,814,698,881,097,696,
678,143,450,324,834,945,456,529,442,964,750,842,225,355,131,068,215,191,597,
447,125,111,497,018,393,987,471,902,983,397,591,798,531,562,547,623,378,382,
987,616,011,590,259,183,533,932,916,890,848,670,246,172,451,435,955,811,885,
793,553,901,824,243,061,772,486,390,774,621,234,087,697,820,599,272,238,317,
271,486,135,078,655,580,827,791,680,546,731,365,532,152,461,297,177,073,078,
402,468,941,736,533,526,702,019,139,138,875,869,312,261,075,012,297,487,498,
220,410,065,137,916,572,454,942,831,279,246,820,828,269,905,671,355,253,199,
349,893,194,622,024,629,611,579,547,215,077,848,813,099,558,423,204,099,457,
723,249,472,802,355,283,046,021,439,294,844,399,775,600,478,881,648,541,507,
484,851,140,976,543,332,708,364,650,453,471,204,940,501,396,222,419,378,151,
469,984,509,339,203,972,040,185,601,673,023,818,599,370,371,115,526,136,445,
680,683,627,274,001,090,682,922,469,064,386,231,984,184,905,529,283,249,228,
729,008,727,981,675,005,228,172,545,125,793,747,698,486,043,387,648,956,524,
128,231,218,472,042,069,695,440,108,042,256,074,097,567,103,409,954,225,365,
688,859,257,634,160,065,013,987,456,219,696,610,104,155,034,966,074,799,498,
656,094,508,726,306,698,246,079,898,480,344,585,908,699,266,021,136,919,889,
260,080,526,380,928,416,221,564,865,024,878,444,110,344,932,456,380,204,989,
994,820,414,913,314,916,981,407,954,097,054,262,086,581,593,569,946,766,881,
756,122,379,743,363,832,428,370,996,701,782,353,678,036,269,479,142,985,309,
896,329,475,242,669,376,532,890,794,471,080,796,254,801,532,671,222,376,688,
062,145,071,800,988,473,819,048,332,019,150,065,707,136,501,880,089,366,847,
082,859,245,398,258,298,553,427,994,481,002,977,140,300,874,707,163,964,014,
977,250,126,688,207,557,769,352,238,141,456,081,739,797,523,258,517,543,433,
790,062,704,789,276,419,853,487,653,127,401,777,186,658,221,310,890,139,590,
104,393,215,203,786,048,984,230,605,543,499,618,082,285,489,488,403,859,194,
543,611,480,946,688,625,572,434,584,502,359,512,333,221,721,215,861,290,760,
173,162,635,123,614,558,873,710,738,860,456,157,495,961,976,183,173,546,226,
719,567,740,860,928,898,395,130,805,812,385,683,896,906,229,325,039,121,276,
443,635,519,325,490,556,200,543,426,210,850,041,175,566,020,599,443,327,736,
275,196,397,454,350,997,050,861,816,336,345,614,568,074,102,332,476,700,056,
478,559,701,241,607,776,036,126,186,259,403,364,680,147,509,189,263,260,958,
299,099,759,959,128,202,509,516,435,340,204,938,509,177,678,434,306,002,706,
727,269,576,798,421,080,907,783,793,792,093,443,966,414,545,121,350,388,006,
679,481,612,097,280,020,223,196,682,549,833,290,103,263,124,632,603,394,173,
043,859,885,673,496,653,395,898,140,872,034,625,345,575,914,888,974,735,233,
585,129,660,689,600,302,150,261,661,179,723,310,799,095,962,919,997,683,362,
873,746,689,841,005,123,693,695,309,658,960,472,520,995,958,987,770,439,080,
330,313,821,904,039,653,872,419,937,445,792,397,667,617,952,107,372,171,897,
027,160,277,879,646,640,484,115,095,220,185,613,737,301,196,681,699,118,010,
804,599,673,722,233,840,615,706,772,320,790,427,585,173,711,965,294,810,929,
366,027,817,782,047,213,737,939,590,181,857,505,864,807,935,218,429,900,518,
239,751,521,632,050,812,605,010,102,923,163,897,975,427,026,629,913,521,999,
810,666,518,058,821,838,053,418,185,533,782,365,083,950,583,393,176,024,548,
238,909,363,511,073,579,497,868,788,480,354,684,885,599,586,011,320,439,345,
309,975,728,685,278,746,082,147,778,755,671,030,979,190,491,952,779,672,163,
765,368,917,349,466,570,607,308,141,244,225,440,796,449,995,706,003,267,531,
024,173,316,769,426,524,821,203,629,062,142,041,822,043,478,994,080,639,943,
033,783,866,085,161,609,026,093,995,484,750,591,035,176,273,242,779,189,765,
279,594,961,372,433,860,710,193,561,119,867,218,797,484,578,378,344,075,757,
532,425,052,826,206,666,296,305,775,353,703,371,395,443,932,692,696,905,918,
634,834,154,314,244,735,608,744,052,369,670,193,487,996,520,514,474,328,787,
188,614,588,012,323,007,586,062,526,645,411,238,896,567,462,740,773,258,144,
646,805,255,910,456,383,244,654,238,345,225,707,655,811,217,585,655,423,971,
185,037,583,193,060,845,169,161,490,239,109,670,968,153,112,849,398,753,753,
520,860,106,385,642,063,793,848,555,116,332,946,092,325,418,424,529,509,837,
578,135,470,512,059,699,942,786,382,044,861,502,784,741,818,714,281,376,806,
431,850,546,090,731,773,417,656,589,579,062,009,874,856,979,215,827,897,549,
882,918,809,771,803,422,473,847,089,637,853,840,521,758,909,338,159,190,412,
739,252,772,693,756,062,118,866,240,031,425,197,346,845,234,910,109,690,585,
858,788,932,656,946,138,746,339,390,580,183,152,919,380,012,809,541,620,883,
381,170,480,347,005,382,821,759,739,307,494,191,013,152,660,572,664,489,522,
802,587,639,799,784,160,379,873,662,369,224,112,813,449,502,132,587,196,593,
587,527,494,870,428,001,818,072,895,227,793,789,492,083,751,402,798,952,620,
132,128,962,140,419,000,563,333,818,098,978,734,276,097,405,576,354,823,610,
510,526,500,270,588,984,483,807,434,801,008,661,640,984,444,967,279,303,778,
292,915,468,677,786,563,611,586,362,603,098,155,781,903,403,594,030,010,479,
022,323,932,234,157,213,399,628,040,282,010,393,315,979,392,479,261,155,201,
473,799,048,097,883,791,118,551,430,680,467,171,963,065,850,119,435,351,589,
942,667,392,180,957,939,355,078,915,416,226,494,231,928,947,362,332,847,076,
890,077,290,392,300,000,823,509,821,391,845,866,695,930,522,463,599,428,853,
079,141,956,049,817,582,815,194,614,551,674,863,517,977,192,385,447,440,960,
467,175,687,960,729,959,515,625,596,279,449,873,232,715,842,805,194,160,099,
563,793,707,376,815,614,203,626,259,124,498,050,260,246,895,647,086,378,495,
350,156,614,969,184,087,410,321,698,778,532,607,810,062,062,918,800,394,626,
972,019,567,448,928,238,245,990,934,697,129,836,407,817,193,612,149,745,384,
065,725,469,609,124,705,201,161,141,044,581,292,625,835,285,748,978,424,345,
809,765,515,309,599,278,151,944,466,607,976,188,196,097,316,174,691,157,941,
763,681,268,291,916,797,392,165,466,036,343,316,277,989,235,261,710,543,171,
439,628,032,286,676,839,528,569,931,131,973,266,696,371,149,827,462,790,322,
872,606,061,887,706,779,753,119,529,040,042,749,102,801,615,357,650,308,941,
856,022,835,003,469,026,969,573,004,426,329,476,243,888,897,773,631,332,949,
052,268,614,147,972,254,731,018,744,874,172,930,919,650,125,012,092,667,435,
897,770,282,378,265,081,741,524,519,901,105,299,726,648,520,777,851,597,393,
842,595,488,410,040,201,348,096,212,100,398,582,993,053,084,782,395,819,950,
376,108,944,931,621,300,613,756,022,422,348,589,991,984,501,299,474,194,055,
579,826,371,628,106,379,626,603,503,160,961,808,117,730,920,661,244,724,511,
495,740,113,579,305,411,852,607,754,201,508,056,729,062,787,526,553,659,593,
898,927,850,534,698,836,147,362,052,686,852,779,337,203,588,505,994,467,798,
911,009,887,984,172,704,664,917,925,480,402,352,960,162,681,210,409,220,076,
424,648,998,746,747,800,695,040,833,521,834,965,118,442,732,702,070,139,181,
163,204,710,535,933,460,134,641,747,731,130,160,416,817,634,214,189,731,680,
918,843,678,996,776,913,662,448,639,625,982,289,519,589,289,978,944,824,807,
141,017,752,327,983,608,288,296,186,376,186,141,645,260,023,005,788,884,489,
420,010,359,351,391,751,319,371,763,168,448,655,615,241,611,363,599,992,844,
802,621,843,233,675,057,348,774,872,227,041,118,059,928,654,437,198,005,165,
286,496,760,354,051,317,795,720,344,351,958,622,503,549,313,195,935,332,688,
432,474,742,876,007,170,372,052,148,553,951,522,983,345,226,255,814,803,135,
834,903,748,965,181,328,754,745,000,777,551,314,297,945,743,624,371,800,693,
419,353,437,454,060,272,599,813,237,917,951,371,504,587,856,810,494,856,076,
533,474,005,972,645,468,157,798,470,264,234,873,361,469,539,197,447,297,247,
831,576,333,297,898,414,340,323,224,139,260,549,393,790,040,130,313,062,934,
498,750,172,059,685,827,296,117,193,653,245,017,633,341,931,987,106,939,621,
885,674,358,470,755,910,730,056,950,985,514,532,335,471,072,192,959,399,841,
894,990,457,167,565,774,151,177,120,722,764,676,105,068,600,486,170,953,526,
493,981,235,675,296,688,679,204,089,097,114,551,549,150,223,995,955,960,182,
142,093,315,355,898,849,770,309,540,705,887,427,788,523,526,846,811,962,683,
444,966,831,782,567,764,194,168,595,372,776,643,779,581,232,401,274,711,538,
304,260,567,519,907,852,774,845,582,872,037,157,756,363,372,507,741,636,365,
499,868,882,824,556,316,250,896,069,922,302,624,124,797,422,806,701,516,453,
501,855,995,109,834,110,842,057,653,463,304,953,643,526,863,548,025,548,499,
667,559,831,645,817,794,645,467,741,180,637,442,802,946,422,605,662,983,368,
918,352,816,305,595,760,241,093,389,747,438,460,162,318,540,632,930,384,242,
076,321,270,106,544,388,280,761,445,351,695,778,560,336,535,267,804,562,669,
189,583,818,394,081,948,429,801,162,184,138,875,113,237,991,796,813,906,859,
472,901,322,075,428,897,771,576,678,900,297,884,055,528,581,269,473,257,771,
922,190,593,715,747,739,751,955,326,265,705,815,093,549,025,027,185,722,791,
967,187,149,138,970,469,591,786,945,754,359,771,810,184,544,986,326,651,212,
949,155,726,349,050,525,532,191,440,440,288,436,025,078,122,950,588,963,217,
828,692,938,715,864,331,050,824,641,866,729,409,059,977,833,710,533,754,455,
046,646,235,836,138,655,971,714,105,387,380,348,275,768,699,444,090,052,406,
030,218,156,390,227,319,930,637,919,346,469,402,565,847,678,608,645,416,660,
738,386,537,227,930,814,965,817,494,860,185,567,551,323,757,843,196,840,589,
956,155,964,408,073,949,171,823,543,501,409,565,721,725,378,825,389,169,733,
438,947,395,765,817,721,925,489,941,679,030,694,556,976,444,064,559,542,990,
558,020,224,278,128,764,115,379,883,580,576,039,312,021,762,141,874,935,994,
008,471,498,567,581,916,774,167,254,148,028,732,568,735,458,550,334,713,243,
990,794,359,635,162,641,026,423,663,949,892,435,516,195,591,535,494,228,721,
210,629,718,854,053,654,269,137,095,275,350,448,304,072,586,603,462,685,433,
524,716,453,367,274,601,733,811,154,732,462,797,908,969,481,200,440,675,541,
463,560,585,132,043,127,326,051,600,772,922,633,698,894,519,672,950,623,874,
942,244,417,187,677,447,394,434,401,252,500,343,521,803,693,621,250,784,125,
684,344,099,804,200,745,926,967,352,423,651,709,237,199,418,791,666,000,893,
309,780,671,413,089,647,987,905,211,995,007,617,286,946,215,705,076,782,336,
432,408,952,317,660,426,965,023,509,839,124,509,095,185,976,727,656,890,506,
355,844,502,456,590,472,758,274,247,529,418,036,733,748,769,250,634,046,727,
805,391,849,944,070,599,712,003,114,167,883,810,955,971,616,047,027,538,161,
652,040,765,514,139,176,875,313,034,324,446,996,995,059,699,104,548,430,169,
805,898,833,391,760,666,317,358,691,868,263,049,724,368,526,534,800,195,641,
068,221,401,781,238,086,873,471,592,360,070,259,642,286,462,465,195,838,379,
987,534,989,363,763,310,791,880,947,586,864,782,590,999,082,291,274,345,394,
521,390,856,132,639,302,796,047,126,512,107,801,996,037,436,551,825,319,576,
191,936,528,823,972,086,745,768,371,945,947,010,912,171,361,144,575,737,837,
879,008,363,175,580,356,581,141,224,837,556,830,720,738,752,099,149,328,914,
017,480,721,641,415,644,886,390,189,560,212,066,092,664,477,192,967,096,532,
408,819,663,518,405,109,813,116,754,257,477,083,419,066,140,444,084,414,355,
163,393,424,570,696,009,900,438,043,589,465,662,912,343,252,870,407,334,375,
668,585,798,750,749,485,907,196,334,184,451,735,389,178,010,601,975,158,465,
974,066,964,752,388,675,680,298,073,395,715,288,137,945,686,621,213,270,197,
655,306,069,920,111,726,996,327,509,522,010,921,098,085,454,002,939,536,769,
988,961,001,187,976,857,547,468,405,133,017,964,552,624,635,430,776,591,627,
993,442,415,858,416,996,972,842,125,416,697,344,550,610,089,080,085,220,201,
164,147,612,937,508,443,869,684,933,911,847,195,235,014,520,843,596,049,281,
319,835,387,251,115,143,047,783,420,912,799,775,048,383,446,086,955,061,876,
781,898,183,572,226,184,441,581,276,840,807,066,894,931,297,338,542,272,776,
869,208,434,548,804,113,213,773,149,482,198,298,200,140,215,728,980,906,120,
163,171,190,954,392,466,027,240,906,617,722,208,700,731,687,586,775,260,773,
397,633,601,634,131,688,775,289,669,833,466,646,314,940,419,163,811,382,434,
075,756,351,463,285,583,462,465,113,495,202,817,293,849,380,680,428,508,849,
232,180,913,151,465,041,645,098,339,465,508,824,836,644,863,460,995,289,743,
736,718,823,366,094,098,740,545,313,303,958,005,961,342,237,752,750,830,159,
299,520,319,325,467,973,736,662,661,025,996,267,092,174,792,568,409,700,835,
024,221,093,128,321,671,403,496,822,989,070,714,104,189,422,660,119,610,202,
035,758,565,740,730,835,744,091,518,282,863,245,345,133,252,731,913,583,368,
625,453,462,121,024,244,700,101,914,307,000,760,968,846,352,289,873,571,385,
668,214,958,161,924,555,063,152,850,731,485,821,244,998,802,812,373,345,869,
105,125,637,149,667,288,281,143,040,703,453,391,560,691,398,060,017,929,314,
796,330,708,189,332,411,900,871,182,611,785,552,768,988,202,228,674,106,927,
297,295,502,929,977,300,156,181,113,081,435,761,829,576,868,652,852,943,218,
087,309,144,115,446,752,034,834,545,479,274,663,673,328,554,086,144,782,218,
535,217,452,469,220,406,767,065,494,464,347,422,905,897,201,937,811,012,464,
410,228,801,206,184,758,173,002,827,871,492,946,640,791,601,976,777,814,475,
917,898,548,977,067,528,617,207,661,646,483,414,943,287,777,925,475,758,723,
961,559,051,345,529,035,798,338,972,560,626,709,767,980,345,085,818,383,774,
644,187,018,992,132,031,698,953,008,695,922,151,280,291,743,488,995,693,336,
936,436,413,243,925,436,423,578,159,142,061,962,369,567,111,755,685,408,689,
550,071,626,272,799,181,279,352,174,941,934,294,030,476,042,854,646,947,236,
251,590,108,035,888,052,154,153,554,549,265,280,372,447,895,545,976,205,521,
295,221,110,764,857,818,267,331,550,542,164,155,995,848,618,225,505,361,544,
680,321,744,848,629,422,371,042,678,724,483,524,869,161,466,925,740,514,709,
956,563,675,840,162,148,055,441,583,054,297,781,007,560,333,872,110,436,735,
689,124,849,864,712,469,205,084,736,506,592,900,471,855,010,946,351,037,225,
327,217,670,814,090,804,196,545,542,537,622,546,095,845,992,281,428,222,670,
090,998,957,769,051,432,305,857,134,597,284,761,402,241,777,067,926,565,947,
088,758,962,384,473,525,913,814,330,300,726,050,706,874,578,131,661,702,436,
803,579,511,415,845,400,502,247,038,517,391,674,296,278,329,360,681,947,896,
821,199,857,605,576,169,295,075,920,458,531,297,062,004,072,533,808,142,690,
819,189,951,811,123,334,493,432,417,129,089,243,218,419,303,254,303,364,156,
022,248,174,377,374,355,722,080,351,768,450,981,214,154,634,723,892,434,830,
407,762,302,637,083,353,998,370,251,935,105,744,765,378,986,567,017,712,936,
569,441,639,350,756,705,652,619,074,254,092,192,666,487,276,074,757,591,727,
654,357,638,621,214,143,920,811,569,063,109,665,342,179,132,402,566,060,931,
313,115,345,116,095,184,964,021,955,739,816,424,806,954,985,872,778,529,489,
041,695,569,927,202,715,982,138,966,845,420,353,999,329,007,466,928,337,631,
247,832,494,725,673,599,818,124,443,942,378,252,945,657,560,351,080,102,907,
793,358,397,134,016,614,865,254,439,880,465,353,519,200,354,231,504,900,533,
474,989,873,012,873,989,638,897,826,238,799,748,983,176,949,898,306,838,841,
540,755,640,389,673,874,663,951,330,691,317,170,845,115,638,635,687,280,309,
342,212,914,539,149,268,065,641,123,551,995,187,458,967,964,627,619,712,154,
555,732,686,743,183,973,869,583,856,976,139,239,777,486,907,632,437,237,328,
865,017,100,912,570,382,203,856,294,352,783,717,521,244,293,106,070,596,262,
347,616,411,502,589,002,717,150,870,505,694,452,829,724,975,103,573,906,881,
046,783,573,826,128,683,667,105,107,210,254,573,629,559,426,931,883,627,208,
420,189,810,556,541,807,055,739,486,226,703,091,959,721,459,451,823,165,742,
032,540,128,304,218,722,426,022,029,541,923,211,090,060,489,142,905,708,660,
178,745,215,641,631,156,665,736,513,932,143,447,099,267,758,565,681,440,566,
772,587,585,624,762,202,328,268,712,216,458,594,760,665,645,696,696,827,495,
770,316,247,476,718,188,823,732,257,772,480,048,036,485,433,426,354,233,006,
854,937,561,624,167,640,218,593,340,953,554,903,141,031,137,276,210,492,279,
907,565,669,515,535,828,047,807,226,009,371,252,341,081,966,429,459,250,436,
905,578,763,280,631,635,836,879,096,975,458,059,144,922,663,805,623,673,046,
349,377,197,978,728,588,606,761,056,745,398,312,522,077,849,857,075,698,979,
204,620,887,102,247,773,806,187,262,731,544,350,982,916,028,189,795,770,027,
308,158,882,869,097,230,113,783,632,786,648,936,009,900,358,567,498,593,581,
000,235,362,347,316,669,705,619,767,106,634,018,803,350,522,805,304,430,093,
102,171,873,844,200,261,395,867,136,904,974,648,773,709,387,664,228,755,304,
849,144,432,043,679,919,973,559,179,455,877,691,440,601,137,872,869,378,553,
171,459,845,554,914,567,308,781,245,972,574,778,505,740,456,813,717,895,221,
571,485,149,771,877,090,638,922,052,015,648,033,159,363,000,854,976,105,521,
327,506,325,054,088,634,510,469,795,203,245,029,877,236,582,277,829,303,215,
099,156,800,105,081,182,376,941,220,325,617,634,228,425,666,363,096,134,886,
744,514,252,420,482,182,545,741,080,897,044,418,969,286,508,640,845,734,322,
900,261,296,589,998,092,419,293,924,002,315,479,544,302,386,858,545,156,179,
494,083,893,178,662,566,525,474,260,188,189,213,156,229,238,192,018,265,436,
235,247,725,414,256,598,480,570,414,264,906,584,943,223,045,240,302,349,859,
022,352,067,777,882,887,945,893,960,655,858,191,091,051,868,210,531,908,843,
323,390,946,749,014,453,784,804,388,077,385,316,345,445,184,491,140,535,852,
321,606,583,280,686,074,636,669,277,069,221,406,491,493,391,964,255,235,420,
489,484,298,222,355,202,823,561,809,717,122,727,571,602,492,057,145,767,042,
055,229,124,045,423,469,936,796,215,764,003,662,622,324,884,420,053,981,266,
946,510,724,518,076,253,004,645,290,064,500,777,689,283,200,173,408,070,568,
514,407,201,695,834,770,525,826,969,903,663,515,002,494,134,490,878,475,411,
739,536,723,459,648,795,087,977,068,053,030,266,975,157,010,153,958,984,558,
484,278,681,433,067,248,055,914,553,584,381,417,287,108,754,227,542,238,786,
467,382,906,002,425,712,204,886,877,712,014,420,852,670,132,642,987,794,244,
740,008,062,628,804,432,129,442,191,457,337,713,134,998,578,398,746,290,410,
349,557,470,380,572,479,708,630,226,651,338,291,073,942,216,024,000,541,891,
191,915,545,507,073,704,018,807,679,111,783,434,774,338,382,155,700,795,404,
238,881,773,148,103,209,869,378,348,342,541,745,398,505,149,687,032,745,596,
358,197,121,847,984,659,127,683,739,499,565,349,268,342,442,322,238,084,501,
460,853,394,651,599,065,207,547,052,485,603,238,019,280,252,768,006,708,705,
260,116,740,123,608,170,367,859,814,212,135,871,408,345,368,172,076,237,991,
491,898,909,825,643,592,480,412,292,999,293,581,968,263,005,493,626,091,021,
378,752,010,515,575,291,790,168,994,580,843,882,896,389,978,904,578,302,834,
601,226,077,417,721,850,408,392,883,368,569,431,204,060,360,708,596,799,014,
858,074,179,744,572,904,412,898,095,488,678,992,040,372,364,992,320,124,784,
162,327,109,395,473,606,373,507,996,307,012,882,745,416,832,610,965,376,717,
751,328,579,346,990,896,118,087,159,508,836,441,399,583,655,250,063,888,226,
105,437,099,066,487,290,133,463,714,988,783,618,768,964,854,497,958,649,170,
447,198,562,029,731,659,299,902,492,762,412,113,615,756,885,705,651,978,340,
042,523,019,758,469,483,270,191,671,920,661,468,528,111,502,479,129,089,169,
297,082,674,175,944,596,228,574,798,220,145,015,433,900,164,453,374,908,285,
405,197,644,466,623,093,548,978,977,921,728,511,591,887,726,268,629,254,548,
673,335,446,489,764,262,519,697,818,489,499,873,815,935,431,405,100,564,121,
799,567,196,732,140,260,770,211,099,179,045,268,903,248,708,846,751,393,201,
011,198,700,934,536,627,648,380,243,238,703,972,104,238,918,787,954,011,155,
366,594,376,450,936,035,275,996,212,440,422,840,418,287,401,749,800,805,701,
547,485,232,127,862,885,149,778,627,006,969,249,601,913,040,788,094,665,974,
080,051,492,241,128,129,027,732,612,885,354,555,805,655,179,817,460,179,714,
241,774,643,270,193,901,130,401,435,726,684,954,699,821,706,825,135,063,980,
818,725,977,544,824,242,149,516,854,976,357,131,262,755,322,951,256,875,538,
446,263,038,993,896,288,336,435,262,951,703,108,029,572,200,577,753,274,299,
392,498,436,941,774,335,347,127,646,182,445,367,387,559,555,785,939,120,845,
509,705,962,825,334,203,350,492,402,779,359,064,202,629,414,385,524,858,166,
292,839,309,863,879,251,485,339,252,613,681,993,382,871,802,007,052,635,290,
029,202,064,310,035,028,387,705,960,217,891,231,290,744,288,940,221,327,816,
386,278,293,563,217,729,268,063,561,248,920,019,689,164,591,813,893,645,567,
133,426,979,571,792,287,310,071,158,696,937,515,607,673,470,093,584,987,194,
604,655,231,938,098,329,642,893,283,747,441,973,541,256,792,353,326,145,349,
954,324,371,567,588,155,878,720,300,680,775,273,323,695,105,610,480,562,215,
048,884,431,451,444,777,314,819,307,906,101,133,128,824,676,136,016,807,187,
723,376,381,647,240,577,619,802,119,421,728,519,080,534,230,573,725,667,440,
060,680,453,050,686,339,266,084,022,916,244,427,693,513,682,014,729,029,105,
571,551,709,493,063,963,366,457,872,437,790,091,922,654,628,107,871,181,845,
201,729,263,810,135,477,803,107,046,745,369,836,249,677,947,098,965,220,177,
119,463,690,864,647,237,854,243,101,618,275,460,432,953,842,358,779,015,318,
781,408,209,323,877,514,561,303,682,585,322,846,710,934,404,437,934,942,261,
986,703,339,253,184,287,981,865,866,569,262,357,200,452,165,248,186,089,138,
003,470,875,251,386,829,891,590,827,566,848,902,202,922,593,288,490,756,981,
415,983,997,828,881,056,998,642,399,153,107,311,520,466,227,966,021,438,799,
223,972,552,531,370,605,786,090,881,306,975,822,127,951,817,662,131,185,902,
609,812,014,574,192,933,856,851,914,484,856,693,257,209,876,279,155,001,073,
299,158,239,840,874,746,968,097,599,019,681,013,524,023,343,779,268,487,775,
758,684,863,285,536,800,087,197,376,579,510,548,330,973,424,048,892,983,133,
843,097,728,214,095,427,611,240,021,373,703,549,230,945,857,492,805,098,320,
946,296,609,468,617,999,837,934,454,005,818,886,215,264,253,140,768,551,356,
809,846,077,393,167,140,429,158,381,834,734,386,118,340,412,533,632,219,124,
437,739,938,874,349,529,367,101,667,376,639,492,097,573,058,135,273,320,575,
501,971,856,493,596,339,051,172,631,532,830,244,671,407,039,433,556,046,638,
839,702,727,676,542,176,821,926,310,988,415,899,860,959,609,164,129,155,755,
003,392,775,257,915,039,646,705,357,203,109,772,183,451,258,330,967,082,290,
197,314,003,232,538,390,609,093,270,776,934,654,906,393,686,728,340,607,368,
740,874,783,741,098,060,711,528,734,830,128,547,471,170,698,534,887,974,821,
090,648,599,740,613,771,333,410,968,458,042,581,922,749,161,241,830,409,907,
020,700,701,037,741,487,144,180,647,973,540,465,165,224,378,208,775,512,884,
806,127,335,022,630,732,848,185,036,261,145,721,385,422,020,284,236,665,313,
200,451,205,535,778,117,278,394,838,009,285,538,944,953,391,483,706,841,881,
712,296,760,982,578,912,806,773,179,641,847,257,192,722,715,789,407,498,115,
811,835,850,271,168,983,381,919,588,255,545,644,400,414,901,540,718,103,612,
559,652,779,299,946,010,698,570,190,276,814,793,907,428,346,031,424,873,851,
483,200,884,152,688,005,935,782,463,834,424,785,687,878,829,318,039,382,138,
279,087,717,416,355,175,565,276,008,034,185,401,510,001,740,078,137,069,504,
706,263,131,022,660,743,504,237,035,641,398,568,985,463,507,810,277,048,357,
941,539,205,687,968,931,384,221,068,987,679,923,902,155,033,006,232,394,679,
486,213,761,824,252,001,110,337,730,061,381,437,508,156,656,351,252,961,694,
779,676,031,523,897,244,630,871,850,470,340,799,552,388,300,930,399,437,833,
099,806,920,436,889,000,326,849,001,142,127,979,665,703,006,701,801,469,746,
692,518,744,656,797,820,887,436,413,640,174,613,465,078,035,241,302,743,710,
967,837,132,006,956,646,354,652,290,052,954,989,591,692,159,581,571,135,805,
640,819,401,706,262,119,018,700,427,550,649,125,766,881,798,201,607,125,726,
685,938,781,209,873,744,968,570,593,867,838,684,496,030,578,617,849,568,743,
207,135,302,680,591,079,722,509,474,857,498,460,788,938,189,277,291,105,525,
471,088,005,710,372,456,773,253,113,819,835,944,960,164,475,519,545,567,939,
317,277,423,053,239,060,405,513,487,220,917,007,511,925,832,609,108,621,852,
887,437,790,551,389,706,687,727,374,013,282,569,589,201,416,548,253,679,694,
244,690,692,957,241,964,023,242,541,861,115,550,080,840,459,329,787,877,415,
778,501,212,729,204,103,473,455,495,671,229,891,601,525,807,629,655,501,769,
604,691,636,905,621,648,427,148,610,159,115,769,002,560,129,853,769,232,305,
398,928,128,848,056,048,282,919,406,409,353,022,364,894,476,559,166,426,321,
499,678,096,729,774,753,965,187,723,124,195,121,272,654,833,859,975,923,558,
504,052,959,860,571,886,495,401,891,379,939,679,072,790,701,801,934,580,865,
047,971,498,229,552,420,735,559,078,839,710,105,875,472,523,805,688,709,675,
315,746,222,849,203,925,068,089,982,128,688,920,045,945,629,983,263,631,078,
529,747,454,198,496,170,615,258,013,048,121,311,485,343,804,619,950,545,091,
756,527,451,733,094,565,859,477,803,747,611,141,859,516,970,031,338,057,239,
940,895,129,232,837,017,567,851,751,949,639,820,061,700,211,749,095,274,569,
091,344,742,446,134,520,851,302,987,115,735,404,983,279,758,383,120,838,344,
580,143,948,516,249,750,109,817,877,683,829,691,281,750,058,756,127,976,671,
637,561,824,377,302,114,511,033,993,510,740,856,346,386,177,605,543,313,095,
963,148,879,940,855,198,345,892,634,723,937,539,538,603,278,696,713,364,403,
575,731,696,655,045,964,410,663,545,800,830,747,068,608,414,838,860,830,068,
979,439,957,299,201,584,395,368,018,294,844,475,131,448,905,000,950,903,533,
340,994,095,809,645,675,024,039,962,469,670,905,197,988,788,362,636,452,467,
973,918,651,309,775,469,558,016,715,416,142,148,296,238,650,010,937,654,861,
700,849,123,607,368,119,177,473,999,681,062,903,041,951,237,703,536,263,733,
339,431,798,724,939,545,525,606,090,704,583,368,907,362,332,293,351,381,132,
039,198,936,113,173,236,905,600,903,146,968,342,250,178,382,998,903,524,612,
256,788,212,678,897,561,080,836,674,593,130,783,365,323,450,091,397,732,686,
551,030,670,143,135,309,528,908,103,508,570,941,720,046,921,321,117,883,884,
637,465,458,443,813,759,300,408,103,192,805,814,904,692,924,503,959,711,771,
746,934,889,662,461,171,115,638,273,856,449,751,362,943,693,038,921,652,111,
600,736,430,926,422,087,499,715,373,157,496,751,236,725,949,079,646,997,380,
986,724,488,641,441,505,175,249,263,234,802,361,767,774,685,099,446,600,926,
374,879,689,359,436,708,731,352,833,214,145,632,965,704,465,685,664,534,255,
965,875,173,763,171,124,977,906,963,373,046,416,723,064,673,147,398,106,978,
750,233,902,214,384,191,893,709,284,946,537,048,359,215,172,002,612,151,287,
172,697,799,708,495,252,386,553,923,866,540,137,536,223,942,071,197,587,432,
724,504,836,502,567,095,488,757,733,308,115,122,296,068,172,259,051,281,798,
868,073,986,574,777,202,149,608,572,857,974,865,509,338,448,834,840,147,254,
116,760,200,735,831,610,364,271,733,191,344,542,165,821,627,863,270,413,046,
925,157,756,174,416,126,819,589,282,232,646,005,273,350,572,676,186,564,209,
925,030,596,539,966,285,752,594,431,130,963,643,902,580,798,994,415,935,796,
339,006,622,059,397,504,476,914,952,584,540,507,025,032,932,904,960,912,326,
013,908,833,382,473,227,465,834,585,295,769,691,397,523,394,579,298,787,661,
636,224,667,733,460,668,058,614,051,914,530,344,624,479,108,752,438,668,500,
571,732,884,211,893,736,860,254,916,233,654,443,879,439,111,930,407,380,488,
494,063,913,313,739,932,418,715,539,116,995,903,892,088,628,265,630,254,200,
537,074,638,739,813,982,416,322,451,432,248,857,362,391,095,374,920,029,258,
243,849,638,187,638,955,254,649,236,369,942,280,673,146,193,084,557,779,147,
355,607,895,322,906,883,246,754,088,443,360,609,294,113,154,923,006,580,249,
936,168,720,935,014,464,465,339,813,806,393,087,304,350,576,445,671,877,811,
129,020,264,261,908,182,343,990,235,386,636,307,746,204,745,609,177,844,057,
089,900,112,123,516,923,490,792,697,864,944,740,010,603,380,500,678,211,132,
431,716,246,954,802,482,141,952,204,076,206,147,704,554,371,185,524,853,770,
213,808,586,005,520,040,539,379,887,844,172,896,236,977,177,881,497,596,529,
881,382,687,512,178,306,239,614,068,103,602,069,367,174,113,556,051,611,258,
115,978,680,485,074,631,808,735,489,365,933,212,315,678,103,377,087,032,648,
106,788,486,372,657,648,569,757,360,891,579,789,926,490,720,817,279,008,038,
806,276,427,211,328,267,575,634,215,886,451,384,911,326,322,769,204,545,760,
470,708,563,824,381,632,429,352,212,886,942,109,910,106,134,395,603,291,603,
973,971,734,426,794,591,884,849,904,751,431,903,454,245,059,936,943,901,889,
119,152,978,410,322,921,973,698,298,798,821,865,753,129,177,880,595,929,324,
430,413,201,770,684,389,141,454,744,698,614,619,363,925,800,532,810,860,179,
793,177,588,642,841,685,502,396,063,732,861,409,409,908,049,222,042,307,593,
112,636,867,114,840,739,571,094,879,121,922,490,627,922,304,192,604,392,860,
327,991,269,578,683,828,756,952,455,184,310,082,225,435,381,256,751,421,487,
111,083,766,436,627,984,867,360,111,795,607,197,523,708,594,086,828,976,491,
740,845,378,688,213,304,632,526,070,868,786,160,342,165,576,453,575,675,255,
480,067,778,842,945,706,906,407,823,652,210,821,518,311,019,211,167,118,446,
501,264,946,636,591,406,024,880,356,978,673,942,000,081,377,579,675,922,194,
517,763,256,921,995,158,995,108,974,095,599,268,843,333,152,323,202,552,993,
158,107,402,905,529,435,536,540,517,642,973,705,049,422,627,724,938,670,896,
758,282,328,703,134,029,269,973,336,643,972,189,733,666,148,733,320,409,454,
819,361,516,973,847,461,825,274,306,651,025,522,827,327,344,536,196,082,140,
310,493,842,035,675,457,573,952,934,508,765,379,184,963,025,674,361,433,928,
318,958,764,477,023,300,019,307,343,097,842,640,932,281,208,975,698,768,498,
601,425,115,465,381,107,927,595,122,085,163,939,033,636,893,176,975,658,136,
901,914,349,445,786,991,550,338,246,724,385,553,521,411,265,322,896,302,777,
218,638,579,789,394,489,005,502,402,365,563,640,024,082,267,479,191,688,325,
319,366,007,032,315,310,153,805,095,515,816,834,190,584,132,597,396,902,226,
281,784,933,227,733,324,235,077,623,125,683,717,416,063,520,201,880,167,302,
269,587,757,309,361,688,406,145,206,599,214,096,615,850,042,105,420,957,928,
843,503,286,657,466,829,228,135,455,260,345,496,220,838,513,475,149,756,664,
548,049,137,888,019,440,793,806,209,575,334,576,096,821,461,893,890,760,164,
225,069,290,411,732,195,139,068,308,120,440,194,223,074,431,178,816,543,093,
023,860,617,628,657,360,008,859,067,558,146,162,483,406,157,916,044,345,340,
567,849,625,601,339,541,507,521,286,847,279,516,356,555,723,751,622,477,467,
774,806,873,926,793,768,551,233,873,416,739,496,276,512,822,028,552,018,316,
506,344,542,563,615,149,334,753,447,122,718,930,200,933,289,973,321,555,661,
349,647,758,032,149,202,342,658,852,013,181,201,682,133,792,767,720,163,571,
131,524,581,775,571,497,002,288,886,119,872,422,484,230,514,968,157,954,891,
270,238,069,975,663,283,334,320,303,369,213,029,273,867,003,516,115,424,049,
433,190,062,252,355,823,603,094,641,952,399,482,881,741,457,065,787,787,019,
500,472,224,370,199,709,653,058,640,099,824,818,806,218,993,635,058,601,488,
222,624,726,851,870,981,180,013,300,138,681,686,870,991,176,347,826,142,859,
295,336,682,555,539,111,548,360,305,588,670,467,634,816,816,651,203,226,669,
508,760,619,716,690,240,458,949,145,015,687,327,804,012,807,960,870,095,419,
603,328,633,050,991,860,996,303,251,496,607,502,789,762,064,331,367,079,372,
613,745,154,455,264,946,005,073,058,448,197,111,990,804,208,101,353,796,762,
526,172,577,752,199,177,378,466,039,174,791,185,217,913,639,154,211,116,467,
633,699,919,782,382,898,247,581,855,467,196,442,609,552,348,669,156,611,134,
876,764,107,515,947,731,798,176,710,864,429,253,310,915,942,958,616,062,475,
255,857,702,738,396,327,279,958,027,459,885,964,117,763,447,650,384,259,045,
643,138,979,276,366,346,376,958,557,571,809,567,424,480,320,938,913,255,512,
823,465,656,460,074,465,579,664,976,257,239,176,279,833,537,202,481,654,635,
562,774,689,822,098,684,983,585,407,770,430,358,458,235,493,140,881,466,295,
155,574,011,713,211,707,557,554,426,003,664,780,863,880,313,056,285,884,246,
071,376,559,688,614,405,858,982,565,138,658,065,154,417,645,117,258,550,078,
802,352,106,371,398,080,962,925,685,715,876,591,889,323,320,537,845,782,305,
990,749,189,721,090,683,455,489,245,419,856,125,563,827,279,252,042,573,678,
675,214,892,736,418,055,760,531,432,732,119,447,015,943,776,397,922,631,400,
528,138,238,026,383,979,729,200,335,161,446,392,245,618,567,342,168,498,973,
434,267,525,069,960,539,425,396,972,141,825,856,946,759,602,279,600,229,569,
659,478,336,049,159,477,446,775,597,827,152,599,639,893,723,300,148,121,651,
159,407,773,570,214,866,388,347,679,220,467,289,945,877,600,007,393,714,088,
693,564,736,534,659,148,811,689,000,135,921,993,446,021,782,390,142,436,061,
371,151,277,098,410,192,992,934,350,834,910,527,409,163,281,167,599,066,928,
698,657,344,993,002,736,469,259,153,392,334,918,323,790,007,604,377,471,664,
761,085,132,371,316,158,032,942,169,452,125,503,348,208,376,482,106,598,434,
792,290,979,058,764,140,496,098,450,033,026,130,203,131,614,928,383,786,679,
920,892,513,407,206,725,041,056,858,715,740,383,258,764,471,954,027,462,866,
520,378,348,787,228,591,722,023,998,165,058,287,854,146,655,103,206,092,328,
244,733,886,635,090,201,908,695,881,572,780,189,125,129,389,925,339,560,699,
870,987,421,387,455,242,943,100,560,621,184,304,202,471,992,112,441,159,857,
819,750,088,332,496,600,033,880,621,899,439,407,970,298,251,497,119,131,904,
779,995,220,479,103,311,780,874,527,768,505,767,822,702,422,456,377,223,384,
289,612,623,954,056,812,691,649,003,185,786,296,936,048,019,625,387,915,146,
921,903,475,799,369,494,292,580,918,288,727,908,372,917,494,662,548,188,649,
876,146,836,184,953,597,780,335,848,738,843,921,166,724,501,521,003,089,127,
054,022,858,926,308,248,145,675,710,395,718,178,152,468,292,429,083,165,570,
042,561,549,101,629,219,159,289,364,371,119,108,129,120,528,480,351,075,075,
192,558,786,915,711,833,016,530,181,955,540,823,327,022,023,096,637,865,566,
262,815,966,747,624,455,814,446,486,784,805,941,645,125,770,166,407,180,948,
076,909,489,047,188,969,950,208,075,918,631,333,263,395,483,972,134,187,334,
902,258,708,491,686,635,002,928,545,250,726,891,171,824,038,692,736,431,776,
351,573,242,149,482,013,137,902,763,926,444,984,918,397,047,251,003,452,572,
623,889,057,019,885,002,711,369,973,248,308,089,842,693,013,618,817,451,399,
431,363,396,786,160,535,885,854,006,108,545,011,679,713,417,493,219,623,222,
309,351,994,198,796,255,136,906,920,687,619,838,326,226,325,533,221,424,949,
033,266,563,442,110,890,999,077,262,667,341,047,320,828,363,526,249,454,463,
963,593,694,795,596,189,673,776,584,865,846,709,148,054,988,750,025,488,918,
629,275,289,085,057,020,884,692,475,441,394,524,916,993,959,269,773,280,482,
441,412,946,167,558,336,481,205,447,172,094,178,790,725,526,396,201,256,758,
048,215,319,671,191,947,731,071,550,510,139,792,593,155,447,915,599,882,621,
007,465,993,004,029,503,023,455,194,400,438,083,038,986,710,833,324,483,655,
686,782,878,356,383,774,204,717,151,925,140,982,250,228,842,416,553,537,162,
982,978,536,024,149,114,281,585,629,798,543,683,050,292,719,725,042,390,070,
622,943,960,615,530,294,492,701,858,366,527,204,685,642,894,414,009,140,149,
711,767,689,890,460,736,716,725,422,263,418,826,629,786,311,004,522,016,125,
563,798,595,336,620,186,005,331,016,496,171,363,551,440,610,948,049,766,802,
195,744,192,565,914,819,510,002,091,131,419,647,891,791,658,102,572,206,722,
783,782,249,712,155,351,460,772,798,122,110,754,854,937,668,807,520,876,345,
646,690,092,152,443,621,338,641,851,955,872,495,153,072,116,856,680,505,060,
467,278,311,326,381,873,075,392,103,585,286,195,186,505,015,557,593,312,764,
891,598,249,579,803,574,862,499,711,956,311,484,638,943,890,498,237,301,045,
834,253,205,308,640,597,831,629,095,586,633,296,023,144,060,146,540,166,688,
989,609,749,945,944,369,469,549,446,271,763,871,781,470,849,617,132,450,402,
445,337,110,328,995,861,551,854,586,389,550,857,129,464,323,724,486,596,662,
932,093,119,290,428,589,719,165,111,239,928,378,422,994,788,057,079,814,007,
165,579,994,304,151,992,051,017,770,332,955,321,930,298,064,389,268,390,850,
283,392,540,510,492,092,939,618,626,259,365,789,725,313,132,628,043,417,202,
274,242,027,783,105,760,166,114,510,514,147,027,250,948,758,764,977,016,595,
642,175,922,516,913,966,864,976,289,175,340,601,593,084,747,180,412,513,854,
345,450,556,757,473,100,370,814,807,077,059,372,013,479,201,177,430,639,091,
145,582,036,183,420,219,913,352,596,832,285,150,130,791,932,293,746,827,836,
139,437,107,249,905,269,260,104,015,565,075,715,327,950,202,594,962,976,416,
785,110,549,439,317,836,164,104,313,485,602,055,213,685,121,523,831,367,070,
741,084,446,975,525,718,528,116,948,602,613,404,716,607,189,195,853,651,045,
060,093,405,750,712,766,485,264,548,388,325,617,514,272,692,617,118,936,628,
401,976,887,123,228,345,967,737,995,911,955,728,074,774,940,318,880,137,943,
257,424,577,550,766,703,977,127,381,665,841,126,844,106,356,815,522,222,501,
281,723,240,718,493,476,758,121,675,379,142,733,950,606,403,391,020,808,381,
938,838,640,421,762,194,721,112,430,610,451,162,333,850,739,432,780,971,363,
270,424,274,492,072,525,673,660,144,598,998,171,681,326,534,832,900,893,872,
086,494,407,250,028,993,073,992,264,429,163,683,750,149,552,162,880,044,219,
099,293,372,098,002,811,197,837,601,602,621,843,404,718,702,717,775,840,942,
201,708,722,155,867,537,763,488,738,253,048,647,523,755,467,066,353,294,981,
959,947,989,098,474,415,901,715,389,043,109,451,935,174,690,987,967,904,770,
017,888,317,090,181,438,860,080,055,492,990,210,463,589,757,039,285,935,746,
739,328,704,272,305,501,507,981,152,329,404,147,716,655,827,155,127,547,155,
149,248,596,139,868,376,206,438,947,952,891,523,249,622,201,569,108,074,190,
885,838,365,981,947,012,558,932,350,415,312,142,405,966,805,466,828,039,625,
659,055,754,288,483,499,611,344,622,371,150,126,529,136,606,622,342,053,935,
991,312,819,453,050,085,587,832,346,368,327,392,560,114,303,988,202,609,062,
912,594,133,279,163,937,871,282,479,196,087,603,507,552,696,232,995,140,282,
739,568,065,370,744,260,540,069,756,309,876,677,169,796,007,359,397,626,304,
319,975,325,813,617,575,084,080,008,921,142,205,836,881,875,838,166,892,957,
182,314,826,261,894,717,002,983,247,918,591,661,756,901,427,687,691,438,879,
454,801,714,417,525,298,829,697,259,080,581,286,897,022,111,561,700,005,997,
814,908,327,868,873,764,416,345,033,870,537,351,279,884,961,378,179,004,945,
468,516,865,991,591,061,745,490,500,775,843,392,108,676,379,819,623,118,130,
356,550,926,945,111,328,132,872,803,915,244,949,874,198,250,986,908,308,300,
188,978,026,173,016,091,443,023,348,631,502,913,087,943,002,324,514,784,497,
037,822,548,423,685,061,705,135,682,262,688,817,143,373,407,611,659,521,906,
260,279,830,777,444,844,934,755,630,595,415,399,527,943,631,648,304,614,705,
620,936,294,354,547,979,926,206,259,448,297,600,842,286,701,396,825,885,092,
746,003,228,826,343,204,187,730,996,671,838,812,540,282,793,246,539,823,488,
566,955,832,676,579,825,392,095,848,437,095,197,579,389,058,254,236,484,165,
686,039,179,091,874,874,779,350,715,969,049,716,865,799,668,154,069,900,059,
627,393,758,894,795,574,737,892,620,299,088,583,759,199,244,758,822,209,357,
601,378,069,021,987,853,698,176,462,339,285,641,201,106,771,151,482,372,418,
004,201,580,121,616,357,077,061,471,096,303,110,116,917,178,879,827,684,712,
009,398,582,407,573,719,640,870,055,349,757,429,834,954,106,538,490,891,238,
058,997,222,878,409,595,557,982,260,164,982,186,406,097,720,141,707,285,986,
658,894,736,655,957,014,439,606,894,396,126,379,707,058,088,823,337,094,135,
257,216,246,639,514,641,765,024,696,926,173,689,689,566,013,149,081,953,643,
070,303,018,945,817,781,684,840,667,684,780,746,410,288,642,220,558,107,538,
698,371,657,502,279,673,010,639,917,154,758,589,708,588,238,545,586,191,388,
613,124,630,277,068,673,615,637,769,125,473,576,406,328,357,889,378,055,976,
925,140,694,059,975,211,974,224,481,383,735,016,637,528,712,534,839,006,865,
116,759,625,540,390,734,413,630,890,157,491,176,382,523,732,926,993,272,399,
137,913,488,445,334,646,344,747,320,831,005,491,772,063,336,286,996,058,684,
687,722,835,049,561,183,752,722,953,371,712,160,636,441,194,074,279,091,662,
029,907,741,168,521,931,416,541,265,493,207,338,256,836,194,853,729,813,208,
561,364,151,832,926,592,589,461,943,696,637,930,614,278,744,291,443,045,029,
030,730,108,899,569,523,149,614,857,596,614,339,927,200,165,120,665,180,900,
942,365,537,586,716,325,302,395,353,363,720,616,680,236,727,156,593,817,416,
972,071,132,599,005,752,943,891,064,221,457,049,069,379,588,432,551,769,176,
768,985,519,099,678,394,569,545,292,306,033,645,713,820,282,729,953,877,852,
097,495,523,958,420,352,603,260,348,306,188,340,634,474,678,249,952,368,155,
363,543,056,388,535,787,200,942,768,743,121,267,869,071,937,728,325,956,268,
759,441,031,062,168,382,736,519,162,137,997,172,885,662,652,985,676,923,769,
547,277,777,941,135,186,440,111,443,847,959,807,355,217,025,918,089,096,981,
305,331,600,487,936,502,473,927,004,870,342,144,959,450,952,178,708,590,375,
455,353,771,013,334,063,229,998,918,697,959,321,036,609,310,628,126,213,261,
839,877,032,906,595,292,956,656,281,691,773,156,423,625,300,597,471,206,761,
064,910,398,962,417,773,851,524,803,373,287,931,893,872,328,745,555,176,172,
508,258,095,425,021,189,661,415,020,030,136,475,919,541,886,127,728,147,131,
222,428,373,381,524,681,702,606,411,591,635,178,533,123,409,347,463,887,926,
530,482,269,261,197,871,462,842,498,752,108,882,522,233,394,944,284,303,703,
725,871,448,053,536,158,363,644,342,714,934,620,529,766,022,182,219,593,221,
697,840,575,151,756,587,948,063,994,832,391,932,776,301,060,099,609,275,148,
605,134,131,017,740,454,523,066,288,082,714,171,871,900,075,084,762,355,498,
859,645,760,755,454,306,084,446,413,190,877,955,665,611,784,123,469,692,972,
827,408,870,555,222,626,845,859,869,427,649,500,697,349,350,213,217,026,331,
796,369,354,755,982,287,284,175,337,854,621,155,695,307,178,346,028,809,758,
971,457,959,276,295,816,464,079,572,072,583,665,419,458,456,566,663,310,494,
319,551,273,656,018,957,709,006,949,093,440,449,649,766,160,528,425,135,859,
484,275,044,423,118,715,145,260,923,071,242,039,373,492,159,657,467,169,539,
529,346,734,785,382,785,324,366,470,712,740,171,594,925,528,998,538,246,108,
256,089,906,525,059,485,435,861,005,589,587,283,721,810,484,034,909,824,376,
585,973,542,860,650,829,497,599,789,253,029,927,568,000,761,160,124,508,156,
286,140,750,721,270,488,574,573,579,054,329,470,354,563,361,316,273,779,796,
661,603,214,116,022,123,840,364,857,012,330,166,357,205,568,915,919,550,183,
414,154,589,577,275,045,763,005,144,037,329,026,540,256,829,491,103,769,263,
071,414,902,517,637,270,553,364,859,864,548,544,092,186,045,270,633,732,029,
313,806,007,792,570,484,905,801,387,450,363,259,641,878,497,080,080,987,493,
474,823,516,131,895,348,965,750,021,002,214,532,071,727,664,733,072,282,776,
690,711,065,232,790,605,881,789,003,606,629,637,918,501,391,783,996,654,830,
153,661,235,936,274,771,039,171,591,460,533,394,789,018,374,977,866,983,554,
402,682,616,064,023,251,168,620,792,551,702,747,544,958,030,678,145,968,756,
725,495,401,939,782,563,981,892,865,655,338,744,293,446,118,189,616,018,837,
954,909,194,881,388,652,159,512,208,745,713,077,865,039,484,727,901,601,215,
829,357,554,395,119,481,053,033,472,994,588,534,453,112,633,949,351,122,931,
622,378,203,455,681,391,636,706,961,476,301,329,460,435,000,864,602,646,359,
463,828,887,555,356,795,280,887,733,419,622,527,726,581,779,140,236,747,255,
504,664,221,881,976,117,919,977,720,449,883,355,113,402,639,186,097,886,720,
215,955,371,398,678,689,890,741,323,469,842,400,592,614,942,019,828,647,050,
961,452,042,367,954,985,026,886,619,280,947,691,426,750,239,555,159,979,526,
935,642,933,235,597,184,058,131,701,944,843,984,815,175,099,267,148,574,888,
021,188,154,247,378,406,928,650,338,356,816,087,505,653,542,048,770,312,816,
186,751,720,954,744,469,683,123,898,327,116,737,149,020,921,430,497,842,246,
633,800,080,135,068,678,403,426,340,972,696,816,599,410,817,915,834,888,159,
988,574,591,970,977,986,049,322,670,213,539,274,636,848,540,259,470,244,593,
681,838,738,178,199,052,350,571,261,657,240,838,520,816,625,637,093,850,276,
216,560,241,333,499,792,889,117,441,121,849,825,397,131,575,899,497,423,241,
708,186,607,468,547,931,475,143,316,129,207,351,627,501,516,739,287,660,557,
250,259,102,382,702,384,727,504,494,742,028,041,754,016,022,985,329,269,988,
541,665,556,766,908,356,226,410,206,831,656,213,203,372,674,027,874,331,064,
383,934,132,759,836,747,783,733,300,017,352,092,241,115,924,539,787,910,765,
087,049,241,061,845,344,646,731,406,001,765,560,725,075,373,940,962,136,642,
668,821,786,834,168,854,802,598,664,313,590,010,240,210,533,529,609,212,854,
053,348,007,362,056,527,374,990,426,821,683,962,758,998,933,594,697,612,731,
387,429,534,924,159,639,324,953,863,821,041,619,170,914,997,195,145,820,378,
903,183,938,344,309,914,961,267,830,714,097,535,175,283,699,919,050,522,680,
306,780,495,895,039,161,919,563,827,407,707,725,259,944,541,349,472,980,741,
534,846,892,434,931,023,343,390,122,704,793,521,704,846,386,003,675,986,745,
964,720,270,614,100,472,569,909,659,297,511,043,679,502,270,476,446,396,743,
979,113,544,368,181,799,915,867,255,776,665,160,986,902,010,858,601,230,758,
863,680,996,459,578,903,782,709,055,741,880,475,599,244,324,196,731,792,794,
675,304,564,898,448,688,124,951,884,125,743,852,509,627,138,573,029,376,736,
217,095,217,258,089,744,405,329,418,911,898,648,519,638,789,070,134,550,065,
396,885,290,743,421,743,461,174,308,566,107,478,075,572,372,881,824,820,974,
245,034,062,043,162,103,304,213,117,392,758,399,009,891,888,608,758,641,846,
524,350,691,900,260,248,424,724,273,646,807,137,891,415,173,861,751,861,823,
993,490,290,119,425,221,455,816,405,680,000,383,693,218,216,183,392,572,553,
829,368,615,661,311,482,267,306,215,697,797,953,917,277,351,727,014,611,595,
411,638,768,579,614,987,827,678,169,755,637,649,282,823,475,654,753,382,449,
936,934,360,576,593,264,277,388,182,866,534,012,871,683,563,906,958,642,003,
632,448,288,264,704,946,504,479,998,289,846,570,633,922,524,793,530,271,605,
862,394,075,158,261,922,415,290,142,306,008,719,982,210,603,674,494,332,577,
444,753,935,846,628,150,464,498,523,980,151,685,498,286,112,759,460,416,879,
738,268,181,744,018,476,288,249,378,174,951,768,801,539,581,460,629,080,679,
067,738,710,247,978,045,010,185,425,581,794,510,314,356,570,060,041,193,920,
836,939,250,645,018,045,123,446,902,253,668,105,355,376,236,566,896,951,298,
591,899,280,478,363,811,755,300,395,451,521,372,090,869,957,886,401,446,521,
313,615,549,246,584,482,009,761,154,788,347,613,970,781,192,875,380,992,055,
964,649,615,541,677,455,418,283,466,711,491,627,477,078,756,529,574,685,589,
342,724,317,177,329,178,020,007,573,416,124,856,209,271,318,199,459,481,538,
141,664,519,454,593,289,129,494,286,724,205,149,174,375,221,167,014,309,137,
044,152,320,112,495,871,495,482,644,446,455,803,841,248,948,518,760,113,362,
086,427,485,015,765,109,851,247,138,463,542,430,227,324,271,297,769,973,284,
482,476,155,624,465,114,510,986,439,453,661,640,484,913,782,006,682,157,859,
499,179,266,048,597,477,190,754,137,540,442,467,279,567,774,998,751,453,042,
986,006,359,260,461,152,418,869,024,543,994,727,516,931,221,438,667,744,610,
714,396,641,444,503,185,655,249,187,841,599,473,958,535,621,805,140,477,390,
769,772,038,841,869,784,470,698,117,943,032,118,506,712,700,368,621,202,113,
516,727,830,631,044,403,873,749,802,332,183,924,121,706,179,641,408,307,435,
344,472,607,565,053,445,303,273,112,700,833,020,387,839,766,382,286,744,759,
974,556,535,315,553,998,100,618,278,533,587,737,319,101,665,869,570,745,809,
040,012,311,184,861,673,148,580,138,759,539,198,024,102,496,319,183,682,402,
207,171,062,907,737,777,300,044,841,022,810,384,296,772,340,220,825,645,547,
013,586,832,654,527,552,473,346,589,100,732,464,474,828,693,454,294,191,796,
026,032,597,947,955,019,578,500,364,551,539,292,437,228,213,162,578,399,565,
805,421,353,106,403,480,013,248,691,703,861,077,844,645,363,822,411,928,126,
947,339,748,030,815,081,382,038,809,260,395,372,173,579,897,916,165,909,620,
719,422,808,177,863,095,624,980,638,017,285,766,829,432,828,047,550,692,323,
900,647,597,168,469,149,970,785,910,960,944,272,702,714,481,508,166,903,576,
022,068,055,545,794,683,768,302,941,605,137,996,979,636,464,619,944,001,013,
703,114,140,139,569,485,120,876,292,064,764,487,754,438,724,334,775,737,825,
041,559,314,538,120,228,970,533,177,818,183,307,254,802,691,921,707,165,328,
533,284,136,154,303,840,042,462,019,135,746,248,581,004,208,950,981,891,016,
548,956,296,290,997,145,830,081,202,336,878,534,531,238,941,973,993,026,311,
042,992,715,272,670,946,602,904,513,866,682,454,909,578,647,335,861,776,452,
137,001,821,829,787,045,646,752,364,303,924,484,933,192,453,946,984,855,250,
483,359,643,883,504,347,427,987,477,323,381,190,164,158,796,840,606,894,814,
293,199,661,606,445,518,912,201,419,301,071,859,221,226,930,408,754,039,503,
088,080,660,452,475,973,877,867,311,972,065,403,411,825,647,631,166,401,555,
572,823,841,996,082,676,427,634,216,908,961,560,068,698,343,151,037,076,349,
730,839,817,931,381,505,108,197,193,742,283,245,431,652,342,511,635,219,717,
007,794,252,913,682,925,488,825,212,831,118,199,381,062,610,130,271,570,726,
514,799,102,269,463,523,012,807,796,861,777,131,085,648,833,500,863,926,809,
181,661,989,630,966,226,537,810,790,253,257,781,343,567,608,121,362,422,945,
365,791,530,076,917,696,073,898,744,397,202,925,242,411,360,761,865,418,758,
583,735,597,722,407,082,895,668,514,705,268,874,560,481,283,822,863,298,242,
391,099,112,862,398,145,231,880,812,688,800,323,657,126,356,643,307,006,677,
499,919,731,274,511,798,252,132,138,290,219,240,292,121,324,826,425,829,325,
429,419,460,074,840,435,449,988,410,174,544,608,209,405,975,940,336,917,639,
496,429,997,537,112,053,591,996,247,336,169,525,884,548,378,082,417,237,351,
062,646,388,560,539,310,016,715,099,937,467,345,282,913,419,725,785,063,165,
597,327,614,864,298,758,144,872,521,588,752,470,150,990,932,656,250,897,484,
234,427,272,162,282,265,324,064,967,855,258,280,777,512,106,901,624,565,720,
965,339,715,157,795,803,948,133,009,540,687,055,899,380,211,980,999,307,044,
164,236,799,978,171,333,159,739,096,754,968,381,255,481,366,155,346,504,045,
475,285,734,956,948,887,112,504,620,468,629,884,534,030,048,356,065,344,391,
715,095,726,095,960,842,210,425,361,309,604,375,901,408,236,311,685,695,364,
948,954,316,609,016,685,634,033,240,709,843,703,884,201,789,961,803,874,634,
074,512,064,148,316,962,467,797,173,453,327,515,920,143,263,061,234,153,113,
350,765,525,247,271,474,290,723,770,445,361,502,876,935,787,590,345,458,373,
130,651,734,538,141,081,652,557,621,068,523,468,721,595,573,078,601,688,629,
578,609,991,567,782,771,741,125,988,922,779,211,022,938,280,211,253,984,474,
801,331,039,080,640,591,065,255,305,399,069,114,590,893,894,548,357,143,816,
650,192,303,161,291,077,075,849,126,649,635,083,803,455,932,244,771,195,179,
601,313,889,111,122,344,474,580,134,453,087,299,392,261,008,784,167,356,844,
086,037,774,197,815,550,583,890,361,275,042,524,450,651,378,931,080,916,176,
536,414,058,781,407,593,258,947,363,281,695,741,603,241,465,990,977,203,991,
816,957,146,304,604,574,206,372,336,544,080,888,325,924,649,977,014,693,746,
182,729,066,059,308,271,628,528,752,209,378,196,705,661,661,563,329,509,341,
421,606,044,799,009,708,517,382,902,174,317,715,471,797,491,678,152,644,778,
696,343,156,460,081,426,665,622,924,574,677,508,366,427,100,350,600,524,249,
701,551,980,947,122,532,838,125,714,133,517,277,657,544,963,122,720,502,018,
651,030,487,752,765,207,512,529,261,518,552,222,537,267,812,519,828,625,946,
350,004,844,312,847,582,514,003,826,924,951,426,771,329,793,558,537,004,265,
543,962,962,032,569,805,985,443,663,739,375,873,248,160,357,208,479,094,927,
777,220,139,252,975,422,701,690,355,848,159,893,973,427,716,826,934,324,057,
237,510,203,388,906,115,616,076,257,055,152,355,770,690,022,318,117,497,469,
498,797,895,150,149,830,484,377,811,341,165,000,695,443,316,565,919,164,974,
981,232,559,403,106,901,153,474,993,638,652,936,896,177,595,405,725,335,473,
620,804,553,647,680,619,918,594,117,778,821,152,589,689,811,002,700,550,414,
655,170,478,551,529,704,310,655,722,341,241,283,526,650,684,430,830,471,142,
659,498,254,122,230,702,206,188,387,066,287,798,572,098,418,928,213,849,566,
314,393,150,445,149,957,965,866,363,707,308,676,907,548,344,591,563,956,653,
217,474,532,778,545,910,612,047,859,333,143,674,903,001,528,266,243,331,531,
372,934,714,099,404,624,899,566,199,185,393,515,427,745,841,379,299,097,834,
516,589,196,293,814,316,791,620,585,777,931,401,821,326,764,043,454,994,523,
896,215,318,709,763,271,793,208,261,252,959,247,985,183,659,253,392,440,390,
702,824,161,465,441,249,182,982,641,119,523,776,289,533,695,080,772,408,214,
250,243,753,497,921,228,285,194,689,388,692,671,737,463,351,270,175,120,758,
818,269,724,169,412,417,142,391,626,558,453,153,136,167,317,089,984,092,279,
344,665,157,882,609,118,336,338,690,390,048,998,337,888,347,803,361,190,739,
520,668,551,429,899,410,125,677,279,618,341,650,546,669,975,947,025,306,046,
114,813,951,684,925,867,489,511,513,963,095,340,689,123,047,611,491,650,045,
727,812,798,352,659,934,230,617,207,058,047,286,417,229,358,890,640,417,198,
402,095,885,205,873,308,929,736,530,543,179,406,497,290,970,384,057,174,402,
665,480,121,746,764,341,095,863,015,792,525,671,972,866,804,192,425,661,175,
687,461,052,597,333,407,608,413,034,486,187,722,602,380,536,668,127,438,934,
053,293,329,880,939,601,755,089,264,823,219,362,596,814,856,207,036,157,682,
541,462,476,128,318,220,027,261,753,194,123,225,995,265,612,120,517,863,732,
938,456,642,222,564,686,381,215,559,179,651,525,036,324,660,082,391,004,651,
323,515,160,598,898,201,700,822,224,242,831,869,099,574,717,438,897,124,737,
310,989,874,381,026,975,676,758,883,393,501,217,446,736,548,580,080,009,757,
342,535,491,508,842,084,559,079,293,309,951,367,749,431,200,424,111,765,274,
420,780,177,286,579,210,711,537,068,533,384,396,363,678,591,943,326,791,534,
088,003,944,669,026,636,456,484,383,299,601,986,508,963,309,182,328,182,544,
649,089,609,114,834,050,303,961,878,777,580,992,282,753,451,542,831,414,025,
692,138,774,167,973,936,054,368,145,756,711,637,037,478,995,787,472,620,337,
869,119,141,626,502,566,351,148,086,513,272,303,247,900,146,744,601,924,892,
127,463,039,145,205,389,233,768,206,875,774,579,011,899,016,785,850,822,544,
096,140,309,700,242,540,722,234,392,745,979,331,574,226,777,856,799,436,944,
547,359,896,987,512,488,537,838,486,561,066,460,331,841,955,222,159,839,828,
555,735,061,253,284,555,380,449,811,999,380,673,250,503,970,716,366,151,412,
819,916,319,874,775,117,893,964,607,249,346,907,964,383,141,713,039,197,930,
684,755,276,213,778,089,171,679,261,179,533,678,966,472,194,995,618,958,765,
893,381,709,522,362,523,818,682,025,443,351,440,665,850,366,992,338,593,067,
010,264,658,422,836,993,008,474,113,806,537,917,634,324,308,467,368,160,530,
680,570,079,634,336,790,919,583,471,523,718,937,337,095,279,789,027,129,152,
833,708,585,609,658,496,313,777,271,165,064,980,605,494,768,253,741,437,739,
801,408,085,147,063,389,182,375,622,565,972,904,957,343,175,427,443,209,196,
633,421,827,507,179,211,567,921,624,054,947,956,770,372,554,267,066,174,453,
750,931,405,784,973,685,905,925,216,175,117,708,057,104,384,001,338,792,596,
630,531,431,259,380,376,926,995,848,865,283,634,201,325,604,613,438,367,368,
339,419,261,138,144,253,784,406,267,559,855,203,164,711,545,055,337,707,322,
908,600,282,461,299,984,124,450,754,619,612,532,313,511,692,699,483,618,045,
173,435,639,192,637,550,221,344,571,423,465,570,695,800,510,094,783,606,506,
706,748,003,131,267,498,904,592,129,177,542,897,285,333,598,709,670,202,176,
826,952,801,002,286,246,574,830,941,113,555,827,196,963,313,790,711,022,520,
847,105,415,208,539,661,584,976,701,155,361,320,659,147,738,950,134,307,625,
100,956,064,257,260,253,375,937,343,148,206,981,909,668,241,901,341,084,438,
157,109,623,219,432,153,246,133,923,982,610,643,118,938,459,719,069,166,808,
818,815,143,538,867,561,708,653,169,528,571,009,812,663,520,144,023,166,910,
323,075,916,419,704,889,429,258,242,248,745,471,754,577,237,704,662,322,125,
218,304,049,896,821,484,611,811,879,568,270,593,410,760,166,904,012,480,627,
361,180,276,448,607,880,373,132,209,766,272,129,631,903,357,696,655,980,786,
087,034,186,941,860,575,597,834,513,980,344,930,797,458,801,286,530,812,980,
839,468,340,994,845,998,197,668,284,662,649,655,665,885,311,432,464,115,412,
322,140,923,059,898,605,809,422,449,158,020,670,584,547,680,796,592,650,164,
123,329,994,664,443,941,266,203,800,835,399,358,342,293,505,225,151,515,902,
111,260,722,976,874,893,934,585,167,117,454,183,783,742,985,310,519,256,180,
862,620,776,002,229,442,033,377,950,029,885,774,755,364,238,656,095,560,072,
334,207,744,267,481,044,499,695,522,533,045,362,270,003,896,421,845,812,437,
022,586,252,921,454,926,224,926,583,844,563,349,019,078,241,683,727,765,485,
816,763,985,800,861,512,882,775,441,652,278,572,653,313,984,166,282,589,585,
290,288,255,495,603,533,543,897,857,598,788,340,598,662,624,027,997,649,407,
830,292,143,847,978,054,880,221,109,300,522,285,750,925,933,246,503,497,405,
745,682,727,353,701,536,654,562,718,623,532,579,029,600,257,624,960,838,266,
351,734,616,102,572,169,938,130,791,156,697,110,401,752,159,433,560,606,609,
244,895,468,670,835,182,497,423,888,107,493,081,966,979,589,609,506,226,173,
080,746,062,386,928,962,537,308,867,205,389,654,907,233,965,253,128,656,191,
368,282,829,071,943,727,192,779,993,631,225,016,825,368,972,897,170,589,483,
842,150,892,776,199,684,553,348,083,935,733,801,649,154,941,042,149,930,084,
723,167,591,242,094,901,269,628,651,927,924,282,214,403,667,347,205,444,458,
217,145,653,855,904,372,128,604,851,590,591,528,313,650,927,949,383,867,146,
857,776,669,570,175,622,147,606,409,743,680,936,693,335,669,680,793,753,400,
741,952,603,270,815,337,331,101,961,032,175,586,332,082,246,182,878,985,952,
063,699,920,890,213,142,055,550,059,052,036,272,786,772,174,293,639,209,297,
829,401,278,797,096,968,035,482,148,225,448,975,391,857,102,487,418,712,932,
052,664,251,115,244,297,663,511,227,829,324,651,077,333,980,519,474,201,452,
718,531,611,105,289,773,900,011,674,979,261,600,600,531,394,062,033,894,639,
400,888,814,152,329,572,457,620,718,461,110,352,442,440,819,642,496,873,406,
166,825,549,371,007,679,523,146,130,504,373,357,696,679,861,448,794,083,423,
819,073,149,559,793,890,232,184,402,047,869,447,271,401,410,190,513,547,513,
024,580,616,578,109,588,239,015,174,316,085,185,750,572,277,236,104,587,477,
940,434,674,297,746,939,292,941,867,298,537,662,116,521,845,103,430,124,121,
788,673,755,308,882,783,123,641,903,586,972,894,457,751,115,976,088,255,795,
060,741,470,876,334,670,443,513,854,217,921,707,808,352,515,864,220,659,855,
272,236,591,333,194,654,578,946,924,248,162,433,795,759,179,927,687,433,499,
437,853,817,407,130,190,771,377,366,754,121,403,985,837,225,298,298,141,976,
976,086,492,466,895,094,954,330,636,347,076,533,396,901,279,522,548,027,712,
274,512,851,882,389,735,005,390,400,033,863,706,158,640,360,139,708,971,827,
359,728,700,777,229,959,428,779,038,309,926,221,095,456,070,042,333,169,936,
116,004,905,485,681,692,215,934,684,351,495,916,719,030,988,195,923,657,480,
049,890,346,607,516,027,404,008,247,196,934,555,730,482,566,118,931,481,923,
470,143,761,300,390,274,388,003,507,076,286,110,945,684,149,930,808,008,582,
490,375,260,388,985,516,285,905,654,623,130,562,744,453,536,527,512,065,599,
277,708,649,670,438,875,430,869,365,470,683,612,795,556,157,778,177,569,588,
182,677,433,690,965,503,012,665,208,556,477,141,845,260,078,625,914,548,648,
765,822,643,745,129,732,023,065,478,864,318,952,242,192,522,077,492,039,631,
609,001,149,459,250,268,207,108,337,372,427,068,038,592,735,403,214,767,464,
335,582,877,090,055,290,173,948,134,789,803,317,236,736,823,917,871,049,784,
505,244,195,583,170,286,330,860,433,236,567,711,251,663,029,041,529,294,912,
252,929,806,812,368,046,693,255,130,929,444,655,893,351,434,639,547,000,533,
150,467,733,677,993,525,864,186,668,445,482,049,187,281,141,852,768,870,294,
690,979,436,106,065,814,136,064,974,596,688,996,385,159,056,270,403,279,636,
733,854,187,859,792,811,593,800,512,576,941,227,532,993,694,522,250,285,575,
344,095,925,526,228,527,686,862,725,191,954,793,493,464,481,677,568,029,980,
032,910,639,841,969,934,308,531,582,929,405,175,071,272,538,249,129,050,432,
584,684,020,825,883,847,175,349,068,494,291,695,780,404,912,282,134,068,846,
626,487,520,931,534,539,504,176,286,910,424,721,980,099,796,347,270,391,865,
720,298,418,705,801,758,310,725,786,285,667,568,660,278,317,226,272,408,255,
136,222,946,452,891,781,040,466,561,960,032,795,912,291,347,834,974,385,355,
780,658,582,681,730,317,054,086,726,630,418,057,121,217,972,211,451,595,944,
761,086,925,414,352,163,837,937,443,873,553,143,529,908,162,459,507,241,608,
548,561,624,960,893,290,180,575,842,196,978,788,569,141,345,974,658,546,002,
033,180,284,880,444,353,741,116,138,926,194,878,215,836,517,509,514,555,070,
981,933,103,748,455,048,222,179,765,077,829,215,392,362,034,992,892,671,047,
887,820,529,951,789,955,128,806,461,906,729,264,063,039,472,048,890,830,581,
349,534,931,326,163,343,973,276,264,155,970,291,793,916,001,910,256,526,180,
784,287,614,139,799,372,976,817,371,753,907,551,240,602,167,760,944,865,706,
604,183,306,996,561,883,371,935,326,411,970,734,417,765,578,790,393,398,971,
418,860,930,419,020,379,233,447,824,034,578,059,611,766,235,908,180,350,551,
915,568,352,721,604,141,458,214,664,556,894,254,061,163,946,682,081,990,703,
834,573,523,568,368,312,796,944,982,005,341,508,650,532,189,174,639,865,457,
089,406,920,800,625,437,583,899,957,673,499,168,168,907,261,904,243,791,352,
446,140,720,614,356,873,146,295,613,008,271,511,331,046,852,329,899,352,489,
025,022,313,578,176,918,818,593,877,296,425,318,213,861,118,648,541,234,803,
800,167,297,629,149,524,774,652,496,530,607,803,332,801,216,307,221,238,537,
623,851,688,416,457,764,573,187,950,016,223,770,118,943,321,728,297,756,427,
792,537,660,875,628,353,776,105,231,895,935,771,869,083,430,254,487,902,609,
681,303,072,599,397,458,823,693,317,119,874,186,574,784,425,195,782,254,925,
322,129,742,245,384,389,239,594,799,507,730,886,135,813,004,053,279,628,266,
875,983,130,244,056,049,429,309,334,892,327,658,408,856,636,997,785,925,738,
135,497,539,570,104,946,756,796,379,938,953,869,120,836,665,391,317,925,708,
332,260,742,260,026,278,869,476,623,366,781,497,209,779,662,873,418,927,364,
677,988,858,264,256,690,023,108,775,932,639,447,451,312,748,960,982,271,785,
858,986,696,540,932,405,309,288,267,548,482,699,439,381,162,053,689,511,786,
076,081,825,636,435,475,489,615,842,870,711,936,464,109,071,385,338,473,267,
103,845,091,329,336,571,898,497,550,950,168,395,589,542,526,285,569,474,072,
046,942,199,941,297,841,124,223,981,216,164,960,713,311,477,686,690,171,763,
387,947,781,499,880,178,613,424,760,599,670,568,391,402,842,295,276,210,138,
482,143,149,064,125,855,297,372,061,908,876,598,107,495,148,732,026,463,474,
802,504,753,391,724,708,377,023,929,068,485,447,942,842,781,380,626,328,009,
594,586,640,103,094,977,204,230,262,554,626,876,502,200,842,215,269,188,348,
461,108,951,932,335,018,718,719,491,829,846,497,268,910,655,490,197,906,795,
956,553,887,779,971,077,754,714,169,128,479,221,943,714,596,856,384,376,644,
706,941,829,681,777,561,469,878,537,269,707,803,879,117,257,700,227,814,619,
583,916,925,538,466,937,014,606,301,824,663,776,005,768,516,677,673,441,435,
735,903,627,822,345,468,800,233,034,766,184,928,774,521,018,769,393,945,248,
701,140,664,251,146,862,682,515,192,145,540,285,765,000,420,347,504,748,957,
243,394,581,177,219,229,003,678,139,343,111,792,259,845,404,201,997,966,164,
140,664,885,861,741,307,615,166,862,150,368,572,215,343,598,280,860,309,032,
094,719,023,412,810,074,491,553,725,229,690,101,831,777,635,947,859,735,365,
651,548,668,647,778,188,406,501,817,518,623,197,731,399,677,765,417,475,501,
144,447,022,834,250,318,701,113,851,327,733,609,683,426,808,857,708,641,635,
997,336,481,508,284,705,799,224,596,893,151,813,351,898,688,627,606,589,484,
820,189,086,752,752,985,508,299,608,601,278,183,111,359,715,935,047,003,090,
719,872,102,378,052,744,308,469,306,784,492,694,887,170,084,418,402,998,243,
103,233,600,918,176,418,487,561,205,193,415,414,816,122,844,141,626,455,557,
153,663,872,529,177,656,358,738,546,540,623,668,269,603,850,320,846,778,071,
810,589,305,171,403,732,007,348,379,002,657,462,532,281,383,741,239,800,947,
085,270,687,760,863,000,747,906,422,006,069,713,971,589,263,520,807,451,219,
521,497,180,213,428,402,112,568,614,298,032,719,201,876,524,057,148,456,331,
117,828,596,231,552,813,900,170,845,019,043,495,587,043,102,582,071,877,792,
899,104,887,898,660,683,365,505,562,961,482,869,868,822,008,020,856,123,528,
773,800,244,768,350,260,230,660,682,744,627,704,688,725,695,127,952,360,540,
256,364,899,811,613,189,412,190,274,941,609,796,201,415,800,536,388,666,164,
631,783,363,581,664,847,204,282,896,309,378,896,678,906,553,008,779,514,138,
308,769,336,726,908,765,080,973,826,752,575,965,348,499,092,626,993,464,224,
173,687,973,348,998,959,244,032,589,405,451,656,914,674,603,706,529,654,302,
722,189,028,503,895,099,009,687,585,323,687,661,026,612,589,914,424,846,801,
934,858,477,331,660,506,905,076,444,301,440,217,750,060,722,128,658,238,420,
076,958,376,149,520,810,081,717,817,581,037,758,064,135,842,140,088,919,292,
040,772,622,234,989,022,341,352,812,393,646,782,568,186,191,477,329,404,093,
166,501,162,812,130,289,217,247,247,800,951,637,336,638,029,093,812,144,474,
159,784,927,399,763,281,698,754,409,920,887,635,120,473,948,030,095,445,320,
434,692,194,831,988,938,590,976,109,892,163,964,614,028,234,674,839,368,276,
719,636,843,839,645,823,943,572,509,458,823,227,885,414,431,881,373,022,304,
401,410,743,233,435,346,030,357,101,528,824,995,600,063,093,297,512,628,941,
803,682,799,521,961,798,501,642,376,623,262,773,384,710,924,207,214,133,260,
385,312,409,905,912,375,700,586,680,870,564,426,934,559,144,245,771,976,178,
652,466,296,932,269,160,716,928,447,195,291,094,458,256,763,540,318,137,169,
003,682,428,249,118,863,380,745,573,795,875,709,790,041,953,406,648,013,727,
590,706,250,555,264,115,308,859,835,532,563,350,384,601,272,902,488,520,072,
380,327,034,207,534,206,578,645,282,246,015,267,285,965,253,467,480,532,825,
231,414,118,336,729,108,203,932,578,178,855,611,964,164,125,437,571,639,718,
691,877,256,776,676,082,764,690,793,983,619,773,534,902,210,655,827,358,074,
923,354,563,236,004,570,137,088,473,546,163,685,854,586,044,701,761,744,410,
307,584,391,849,622,052,363,189,607,055,289,243,083,249,623,441,888,878,597,
410,255,044,609,923,784,955,249,660,979,704,887,113,360,009,291,376,308,298,
212,958,946,552,934,268,733,643,905,359,371,539,958,182,710,931,984,927,500,
004,625,806,748,040,295,300,144,402,337,485,969,080,687,148,714,360,236,275,
771,133,581,126,580,165,665,990,177,095,750,890,393,926,421,696,279,003,801,
752,606,876,477,062,655,919,687,532,017,747,251,872,146,695,151,874,455,573,
404,531,404,998,979,143,695,409,197,854,914,890,356,773,642,892,519,889,742,
493,818,626,374,528,074,353,732,144,393,829,132,660,220,201,822,891,045,554,
754,397,493,437,066,337,941,651,905,524,886,242,636,201,655,567,316,840,951,
750,149,389,964,787,036,041,574,462,511,243,851,999,782,456,322,957,993,000,
589,960,797,663,411,310,027,658,058,925,454,022,050,171,018,325,106,475,997,
082,005,787,667,556,451,400,738,071,806,726,959,103,980,703,164,859,235,902,
668,520,060,539,141,736,468,981,633,077,027,339,749,265,729,801,991,345,676,
370,357,363,939,076,992,154,962,139,307,085,750,588,307,182,738,274,762,442,
401,783,396,644,278,838,548,804,038,086,828,814,939,178,496,423,155,461,553,
678,591,243,723,246,103,031,359,608,521,634,254,753,813,273,167,543,670,329,
498,999,603,732,255,289,681,897,399,423,329,298,829,463,441,983,574,232,918,
313,602,823,499,183,992,529,390,297,676,258,737,495,975,140,719,172,065,416,
668,127,187,387,774,934,404,141,755,775,071,673,668,810,124,603,015,152,556,
807,214,055,262,488,273,082,382,384,037,112,255,266,418,705,627,399,995,182,
695,816,539,475,373,038,784,311,219,197,212,322,350,452,424,982,453,857,948,
691,402,955,942,299,355,287,478,056,624,863,680,677,748,091,708,703,995,195,
422,600,428,077,201,621,782,667,302,318,550,319,619,587,826,455,303,050,216,
110,715,967,358,494,425,732,165,326,097,385,542,236,067,965,717,950,931,628,
584,526,347,781,126,552,559,490,230,680,422,817,114,471,120,678,979,592,156,
046,695,641,044,020,635,830,222,896,499,292,192,139,163,208,326,738,905,458,
574,701,186,516,494,049,177,371,605,771,952,412,275,911,232,463,171,867,176,
779,007,108,414,348,277,131,176,984,356,543,657,836,910,228,347,130,558,040,
454,322,337,602,353,953,039,377,766,951,885,375,087,066,369,832,405,727,029,
151,476,348,804,290,083,373,255,192,034,671,879,440,245,837,023,314,348,108,
189,954,400,798,516,245,334,011,690,749,341,052,546,960,101,880,347,130,961,
184,609,604,371,168,048,054,193,586,838,191,889,878,307,813,180,228,039,077,
367,428,202,169,504,928,315,086,292,406,380,636,544,206,857,911,351,651,182,
275,383,303,982,120,326,774,795,918,032,592,689,608,170,191,078,611,736,550,
434,011,829,592,074,742,344,699,308,313,267,447,598,762,646,864,464,766,943,
189,803,097,342,050,106,486,287,100,545,283,891,941,280,606,219,887,584,028,
194,368,952,871,185,501,535,589,236,737,279,030,553,002,001,373,573,924,187,
929,387,591,642,076,399,500,042,277,219,035,219,180,382,354,838,755,017,512,
620,663,483,429,309,493,575,732,985,604,129,640,966,311,164,657,984,733,723,
128,581,099,362,933,474,385,776,450,576,198,276,259,852,889,952,161,863,825,
181,689,423,253,448,059,962,484,661,422,657,520,266,587,718,861,464,278,108,
852,642,094,819,519,879,457,461,669,675,982,863,562,741,553,435,901,634,166,
234,568,540,447,099,912,867,217,536,670,181,499,803,582,444,499,643,910,477,
103,307,868,603,675,713,884,583,415,522,259,355,747,634,812,366,150,300,202,
714,881,045,083,217,184,389,841,621,384,204,173,707,273,218,857,794,312,472,
489,463,859,871,488,034,200,483,437,976,395,801,782,223,213,606,606,709,909,
001,234,343,622,923,738,434,342,932,968,212,254,295,343,379,409,654,361,855,
615,024,027,082,030,878,050,463,982,813,565,958,123,721,591,789,766,395,697,
662,010,942,975,109,629,214,322,714,949,762,475,723,852,821,697,573,130,197,
928,103,067,295,756,954,996,420,670,266,450,252,058,767,604,653,502,340,810,
295,620,088,864,582,826,523,260,771,051,264,698,544,037,909,204,670,638,120,
209,356,902,120,914,340,050,366,750,179,668,821,037,617,831,509,095,518,728,
994,883,053,870,089,802,135,205,784,716,145,409,436,369,436,882,892,087,122,
222,323,941,775,880,561,261,733,876,650,225,776,244,633,610,971,120,274,304,
322,679,218,729,357,385,344,419,441,285,394,973,877,658,300,956,895,358,587,
483,072,076,224,171,188,509,203,902,378,697,917,565,707,950,975,221,771,952,
365,748,194,369,439,852,570,891,455,226,407,250,980,903,966,496,340,320,966,
726,888,917,388,834,324,313,452,811,420,730,823,496,565,942,619,331,992,158,
133,505,068,252,803,827,111,074,034,946,613,985,322,723,562,318,223,130,763,
099,223,610,745,306,221,727,799,339,192,595,696,319,104,680,808,491,853,731,
845,839,919,981,900,119,518,924,729,586,936,821,715,565,310,344,545,645,030,
778,015,769,517,711,396,234,785,652,095,394,025,709,236,328,516,706,544,800,
216,460,617,535,301,049,774,682,037,121,873,631,949,534,806,708,892,622,611,
352,343,288,350,975,296,698,914,191,002,244,584,812,159,168,179,539,455,744,
484,254,135,952,023,522,694,775,524,145,134,980,527,504,953,686,275,040,203,
081,761,790,068,374,417,021,872,209,750,297,931,797,761,183,228,233,701,183,
719,265,420,395,274,761,607,604,658,872,327,083,595,534,302,865,370,827,537,
574,902,992,756,365,273,451,395,391,449,805,890,090,615,807,150,264,842,905,
919,826,497,356,899,415,638,753,998,355,378,460,375,615,907,588,869,104,083,
129,926,995,770,189,590,127,666,612,291,509,961,791,524,316,014,076,678,400,
540,595,661,336,593,834,044,734,514,463,227,877,585,328,095,713,403,763,657,
011,846,743,257,803,730,046,042,610,465,005,230,483,411,260,439,909,968,591,
292,919,395,722,373,794,235,970,767,145,192,400,223,272,171,494,138,212,990,
655,415,910,818,819,371,291,518,540,428,336,330,446,007,089,121,862,461,137,
522,624,220,981,200,436,244,262,456,248,517,360,702,105,904,852,955,022,453,
631,866,114,463,112,233,898,064,489,945,088,793,102,300,555,164,711,465,046,
281,303,973,415,907,071,839,138,061,467,956,132,850,015,536,414,754,427,426,
025,765,077,980,171,659,841,037,861,404,961,412,385,659,791,993,824,696,007,
886,010,925,539,550,294,053,591,930,475,935,928,557,875,855,328,126,033,326,
091,750,348,755,334,939,464,067,963,405,178,026,038,985,327,979,039,505,842,
027,882,178,425,607,465,844,700,852,418,872,377,159,565,866,466,783,724,363,
055,838,534,637,433,409,455,177,307,097,211,526,139,539,000,462,846,742,593,
629,892,565,305,852,713,983,646,110,793,519,656,694,408,711,483,043,960,566,
459,055,840,907,636,427,683,783,985,693,066,908,671,580,496,199,853,641,583,
599,547,673,647,988,661,010,530,403,240,178,988,088,174,462,654,211,448,719,
552,232,588,670,463,888,721,666,181,068,680,602,347,122,831,637,270,432,346,
956,018,026,323,595,221,065,062,790,518,209,794,571,401,775,502,910,183,981,
696,112,716,841,661,922,669,667,696,884,821,379,419,526,082,354,605,092,581,
432,322,833,990,577,736,433,545,669,797,879,996,310,766,377,620,836,879,073,
375,656,230,799,332,545,178,089,938,326,045,070,967,403,189,332,955,514,767,
672,600,811,988,114,670,544,479,564,264,495,217,457,148,504,999,093,408,163,
015,973,336,135,862,889,448,275,226,793,777,722,990,169,364,875,933,917,888,
103,243,079,769,323,046,003,431,488,731,099,016,252,973,557,498,006,098,078,
301,891,893,664,209,424,959,227,448,866,245,595,608,064,980,142,804,702,933,
860,041,407,367,828,500,059,856,045,446,301,478,894,129,093,091,987,040,285,
371,898,642,979,232,478,951,925,944,364,177,787,907,766,935,641,609,336,740,
760,914,301,402,968,710,667,167,009,820,514,257,094,028,548,686,184,160,538,
138,269,914,174,883,964,776,543,266,435,578,151,319,740,527,452,788,722,089,
350,643,250,826,770,518,798,567,137,689,914,915,585,741,024,427,702,518,792,
286,750,151,309,074,878,052,559,905,442,892,846,689,375,595,723,942,550,400,
116,477,937,646,832,533,372,571,858,332,680,544,497,525,434,760,331,946,319,
521,056,783,734,986,998,123,345,146,441,623,303,765,166,990,700,816,602,223,
382,013,989,330,715,407,212,488,814,968,155,439,719,576,947,929,736,039,404,
756,707,418,923,297,402,853,591,271,379,256,789,299,838,113,213,736,760,287,
233,352,698,747,399,123,534,108,325,818,006,693,206,103,670,979,630,720,066,
427,642,002,939,102,811,283,287,921,315,818,209,624,228,558,399,494,781,130,
737,379,257,171,535,406,464,175,206,353,110,210,220,844,515,493,032,151,126,
693,294,656,727,608,379,036,219,292,173,480,360,526,447,975,666,950,518,075,
480,057,364,094,892,193,454,087,246,446,142,142,269,800,610,036,317,358,561,
664,665,309,122,157,882,641,325,197,085,628,770,061,102,884,622,821,456,188,
970,050,789,549,994,839,648,739,948,223,639,650,114,762,978,755,484,176,201,
939,831,084,125,943,677,441,484,187,242,643,750,830,033,145,789,032,981,031,
575,275,546,561,473,124,799,755,595,494,756,855,178,554,149,678,076,315,029,
013,625,010,194,381,497,792,556,599,855,181,000,366,195,782,677,446,012,984,
648,191,662,247,986,285,953,543,541,021,384,931,776,713,675,813,519,871,287,
250,377,855,742,847,592,177,583,786,312,115,303,960,631,496,644,559,384,940,
932,345,956,701,215,876,134,019,553,718,153,643,429,033,388,485,721,587,626,
856,573,194,020,626,980,717,336,905,786,821,154,357,800,115,158,710,778,527,
155,174,661,491,761,889,945,158,317,945,547,709,390,337,685,640,274,473,505,
713,470,883,183,444,204,435,897,419,008,608,128,794,736,165,995,859,777,666,
476,919,954,387,453,925,921,469,836,471,827,553,251,384,742,261,088,775,701,
636,994,697,571,774,395,718,805,777,602,138,752,299,841,512,515,609,338,512,
254,344,402,823,075,559,314,275,898,401,551,892,997,794,138,491,102,932,163,
377,282,547,570,632,536,198,225,749,091,985,880,498,376,019,131,304,692,971,
103,518,000,505,335,739,225,293,662,673,133,331,196,468,321,916,144,556,711,
778,546,063,648,646,431,784,753,952,694,178,171,224,856,201,288,920,467,940,
920,081,285,605,170,686,235,831,090,921,922,806,367,900,592,142,356,884,549,
708,511,567,656,389,895,099,522,750,800,124,269,959,426,453,674,435,418,819,
919,028,445,314,294,491,093,286,444,115,225,547,740,512,036,666,567,546,430,
501,550,814,601,631,253,095,093,301,785,266,886,001,796,422,174,377,858,970,
811,999,231,719,415,304,056,933,378,630,536,711,933,748,052,955,522,089,405,
558,207,299,102,074,203,412,217,952,188,363,752,001,767,059,263,470,982,637,
698,348,908,434,616,910,987,021,033,464,142,453,572,209,887,667,811,630,519,
745,348,120,838,042,276,131,978,269,084,728,100,841,840,157,992,033,972,635,
716,832,334,144,234,639,026,381,465,387,612,063,873,520,125,613,536,319,478,
905,457,591,675,015,730,983,762,446,966,979,558,058,617,087,291,892,993,756,
020,153,121,815,894,693,388,492,092,330,076,904,820,817,523,263,257,889,737,
906,905,574,264,230,269,275,795,499,837,866,401,580,386,324,324,677,939,308,
820,872,175,487,199,732,618,070,660,000,261,070,614,989,148,520,232,673,873,
492,335,980,865,365,990,826,105,883,092,202,913,481,729,297,603,092,289,890,
222,393,250,541,456,509,104,276,145,614,763,738,414,968,967,927,769,491,688,
276,300,919,081,824,451,504,609,956,303,155,976,326,346,548,313,965,464,652,
755,661,183,349,414,645,250,980,037,530,930,244,191,114,535,722,730,024,953,
698,979,817,776,465,164,883,771,673,187,269,903,017,277,757,118,038,989,084,
896,028,479,161,553,934,019,980,971,406,489,346,602,610,341,852,766,141,102,
867,040,266,533,830,644,434,140,585,221,702,974,210,257,087,517,138,627,953,
130,994,642,049,604,934,940,707,566,761,607,323,236,491,374,031,134,825,511,
343,279,588,680,597,788,591,977,494,139,622,883,467,026,593,568,591,037,911,
270,227,183,033,846,730,244,131,324,997,585,980,727,838,118,243,359,562,918,
315,794,163,685,358,243,930,025,942,403,137,500,962,060,066,716,491,329,282,
882,400,256,689,887,525,243,113,234,517,285,928,493,862,388,417,039,372,706,
223,452,129,028,745,515,698,691,481,653,767,903,330,698,061,218,517,924,100,
237,326,067,643,842,077,611,300,393,718,479,198,702,345,864,959,240,304,415,
380,306,384,172,965,429,534,732,312,623,645,342,588,632,635,374,179,914,272,
950,676,473,387,846,308,292,218,410,819,602,883,000,222,491,185,942,879,806,
448,276,754,344,014,150,753,627,331,191,558,569,413,160,798,053,736,106,869,
096,231,337,136,917,198,271,747,521,161,693,705,270,961,026,530,361,666,508,
615,110,626,066,940,322,795,942,352,190,746,128,829,794,001,218,420,796,754,
353,228,919,013,450,653,039,359,102,233,612,174,813,945,721,620,448,268,069,
729,171,461,557,817,352,233,143,433,296,232,305,436,193,391,178,413,499,556,
815,118,680,900,906,570,492,848,452,152,551,069,539,289,774,510,822,273,099,
332,197,014,509,074,844,602,616,792,667,661,777,208,760,535,795,294,314,455,
752,280,258,804,710,752,016,408,870,978,639,300,643,985,148,419,768,355,436,
916,466,740,261,847,859,659,074,111,214,498,100,486,923,324,941,889,470,138,
835,899,325,311,048,036,695,191,867,890,029,376,888,202,586,131,553,160,590,
075,550,257,341,240,482,133,692,441,274,290,423,353,250,348,803,857,364,151,
012,267,167,194,037,394,824,422,426,524,968,771,594,042,357,284,971,313,729,
994,324,476,146,261,517,377,054,478,450,693,338,513,498,676,259,148,750,740,
715,622,751,802,178,615,486,633,623,782,822,477,340,036,594,367,603,377,484,
168,067,453,500,560,723,806,136,350,872,404,577,082,719,443,804,764,377,487,
413,475,908,135,094,978,293,149,485,506,197,570,968,994,835,760,149,789,374,
450,269,790,364,342,538,805,060,956,315,217,953,814,464,095,170,981,362,022,
913,809,211,565,197,296,243,168,191,214,307,293,830,863,003,805,904,695,885,
129,531,614,245,198,877,329,130,448,406,727,125,082,885,571,585,690,106,502,
383,101,817,489,478,391,377,273,715,588,920,682,499,950,796,701,789,262,376,
940,081,637,523,097,695,303,553,565,636,502,738,510,193,350,906,588,636,641,
307,138,058,933,900,563,713,446,155,863,776,149,375,254,347,653,863,474,563,
660,456,337,592,579,600,030,891,694,336,492,419,242,731,790,125,839,574,153,
425,169,569,539,878,410,023,481,329,333,765,145,959,529,847,582,062,318,850,
840,686,495,202,752,204,772,027,851,874,012,081,367,925,692,878,809,949,674,
633,405,398,997,488,277,327,708,384,724,273,679,701,972,595,068,641,501,983,
008,322,582,314,115,858,679,042,629,884,651,827,177,180,288,949,829,890,751,
527,628,927,881,849,148,563,139,516,485,735,552,680,878,287,125,774,643,787,
704,378,716,399,710,121,076,104,639,194,586,474,920,018,281,861,570,082,654,
516,722,083,779,150,935,565,717,147,663,609,531,961,542,718,760,113,183,986,
031,308,427,893,409,238,030,012,991,350,432,461,001,678,347,834,471,227,632,
021,035,816,897,144,157,432,853,806,962,079,107,431,206,651,205,093,478,075,
924,492,454,732,754,120,090,726,245,233,993,942,206,619,424,086,703,957,509,
636,433,202,119,060,574,988,781,750,131,560,815,875,986,531,516,402,307,115,
230,366,363,042,335,893,871,447,788,710,702,059,338,913,869,914,926,209,508,
384,699,654,930,119,392,992,273,583,355,972,753,055,585,807,645,486,797,168,
494,513,971,592,214,394,994,119,622,857,149,844,743,344,502,025,179,340,430,
055,530,246,941,866,304,628,295,750,792,839,440,182,507,737,818,933,785,312,
178,055,598,515,929,543,840,274,309,379,726,278,888,630,768,113,818,447,924,
896,643,147,435,656,405,492,535,486,381,581,298,525,076,161,648,235,017,531,
236,012,093,606,107,515,928,504,492,348,055,718,337,867,152,347,896,765,344,
738,844,439,310,530,892,947,426,031,597,599,151,210,583,375,845,855,211,960,
238,955,968,456,242,186,272,301,330,969,303,743,780,355,094,671,661,003,291,
334,909,889,121,652,040,348,174,758,080,101,878,569,715,846,959,939,230,863,
712,480,783,443,166,833,666,785,429,999,571,410,779,128,217,877,936,091,824,
188,918,294,033,024,450,971,891,586,666,672,600,221,767,708,254,831,825,112,
035,929,525,645,354,497,571,061,565,910,719,239,844,516,192,718,865,653,145,
025,581,225,108,506,383,726,964,191,473,942,012,207,083,369,962,289,396,277,
808,521,439,002,957,963,893,730,121,683,195,210,427,821,113,924,483,839,432,
971,416,216,236,487,018,443,429,724,385,212,965,164,412,972,319,728,704,238,
581,860,998,867,963,913,733,597,374,075,934,174,551,777,293,000,372,306,060,
427,400,065,719,136,599,473,012,270,453,754,028,606,095,057,892,314,685,797,
914,861,746,817,958,931,643,243,148,712,136,634,648,904,347,265,447,023,810,
931,769,447,766,496,535,519,814,662,458,290,638,680,246,756,713,308,374,483,
816,699,609,029,761,748,629,867,448,859,306,896,118,818,477,120,563,564,435,
869,367,116,841,829,610,550,028,397,710,694,701,496,585,815,748,122,940,796,
470,144,718,004,329,701,458,231,608,691,535,759,817,480,549,816,359,705,678,
118,432,637,208,982,554,569,609,140,824,364,141,810,149,163,624,645,114,790,
707,857,114,306,379,404,364,523,603,844,756,267,427,985,283,442,689,252,856,
026,079,777,245,245,111,191,846,775,597,324,528,566,868,101,168,940,734,585,
713,885,205,267,177,354,819,993,627,355,359,698,166,748,447,637,295,846,798,
291,016,746,461,551,087,121,535,203,745,631,316,906,853,100,626,800,483,961,
935,827,249,324,759,185,802,376,489,730,377,447,209,165,449,514,295,160,699,
252,310,026,410,377,768,156,731,213,219,775,490,394,175,826,439,796,592,990,
073,577,139,634,962,418,604,331,204,265,367,475,122,336,075,674,670,372,746,
742,192,219,710,907,361,893,976,938,664,001,596,109,755,066,243,462,852,461,
368,613,314,198,924,054,957,022,021,120,780,457,071,886,755,166,617,890,424,
442,001,371,965,978,427,238,579,265,071,165,320,377,744,800,879,137,823,058,
186,132,696,735,750,757,914,576,280,520,000,788,539,528,401,453,704,647,059,
109,635,902,596,907,120,571,670,369,396,600,845,939,534,572,812,574,587,987,
010,196,209,657,508,872,380,032,050,101,871,280,768,711,479,353,820,085,656,
427,992,100,760,030,972,879,180,976,715,349,323,410,016,087,905,299,374,041,
438,239,839,659,026,656,324,550,947,699,340,477,848,180,141,361,380,944,793,
997,328,549,583,763,162,071,372,289,640,648,562,035,920,562,714,350,559,683,
384,425,046,224,288,514,663,234,794,630,207,168,970,469,416,762,228,789,559,
568,025,878,366,410,863,733,653,952,243,388,236,283,009,798,191,159,162,188,
475,199,417,857,114,530,342,151,617,258,358,579,565,091,569,994,588,599,812,
527,905,655,306,846,343,372,245,883,566,653,662,635,357,525,929,180,406,029,
808,058,689,194,377,171,583,256,146,735,370,097,935,900,070,254,647,591,454,
308,012,195,781,074,569,319,394,904,312,018,703,184,794,963,706,249,717,124,
745,154,914,413,053,624,403,938,450,549,902,451,288,362,873,653,666,094,342,
242,366,362,836,149,689,221,157,817,877,131,247,232,580,895,323,671,636,022,
445,402,369,894,795,005,602,485,411,335,664,116,024,096,062,852,315,075,840,
566,135,016,523,627,487,088,807,065,429,080,612,578,966,540,756,242,418,827,
002,241,465,114,098,869,064,419,143,698,844,162,082,632,632,956,263,668,560,
410,829,699,565,637,397,343,913,679,299,620,365,554,558,155,866,252,574,910,
978,195,164,470,904,957,107,618,327,789,628,341,792,640,624,209,009,319,137,
610,786,412,550,660,624,512,347,741,196,068,480,744,639,072,335,419,066,902,
453,337,012,722,771,706,784,868,697,669,906,818,517,165,867,738,714,934,875,
646,670,649,876,946,088,696,789,058,210,055,107,052,040,385,167,776,751,484,
008,626,403,142,778,926,856,531,707,038,404,662,559,201,553,496,387,846,675,
849,128,443,115,361,286,952,168,912,021,093,899,237,387,520,473,954,791,300,
207,055,389,042,380,989,397,599,723,474,589,874,592,727,834,937,035,415,878,
904,364,187,173,440,000,243,357,666,718,193,564,329,124,574,328,881,374,622,
513,451,423,005,394,858,264,559,432,502,915,772,491,197,144,614,637,610,781,
060,062,339,260,432,963,569,345,634,265,677,609,315,122,039,421,594,745,610,
059,299,618,877,846,099,661,044,729,181,636,522,609,488,804,413,728,661,918,
370,454,812,689,549,337,735,591,087,243,225,902,380,158,138,065,001,641,226,
409,614,794,673,371,771,407,804,911,109,959,094,058,935,708,077,689,173,791,
252,892,294,960,077,467,401,951,784,401,115,112,702,611,309,269,603,039,944,
881,425,896,360,025,649,411,973,914,302,513,559,975,826,201,490,893,193,923,
858,113,304,425,950,771,579,306,055,569,885,232,326,645,683,329,434,590,865,
968,214,476,323,019,944,138,879,890,530,674,666,520,346,017,171,446,017,592,
364,241,982,081,039,248,438,619,647,114,999,396,668,464,436,858,750,611,126,
878,625,501,867,351,162,476,836,515,012,729,197,345,358,180,695,328,972,670,
990,145,216,691,025,476,480,245,671,143,072,462,160,426,206,143,173,999,586,
096,134,611,289,441,724,281,944,517,647,338,081,987,696,392,189,179,854,361,
043,633,263,356,175,213,104,623,071,447,977,645,706,488,872,823,893,733,468,
285,084,073,904,631,900,997,134,417,314,174,514,902,869,269,469,611,178,580,
835,056,786,111,371,315,669,016,941,272,579,650,368,352,784,692,710,321,681,
623,004,696,297,208,399,529,680,793,770,682,447,148,919,127,923,695,931,758,
009,627,681,320,496,058,539,036,961,686,234,718,407,091,133,856,504,941,829,
314,268,931,480,113,020,729,145,989,444,156,783,998,810,727,264,645,219,557,
676,342,004,841,945,700,178,406,511,557,238,952,158,355,753,831,004,496,833,
861,255,160,534,887,558,408,086,172,103,200,384,080,982,557,471,858,877,552,
801,754,610,665,363,299,596,319,160,944,948,546,648,247,583,062,208,727,941,
512,190,313,795,936,572,937,935,844,045,766,242,868,575,005,630,346,848,120,
500,364,047,217,630,410,126,691,259,357,581,252,298,777,364,729,014,242,239,
948,472,304,414,678,089,099,587,081,854,987,385,865,737,933,649,166,761,489,
283,769,028,426,390,212,897,401,747,234,724,411,136,854,096,407,075,086,791,
504,445,336,599,291,453,546,657,368,985,825,642,848,993,878,750,591,194,214,
430,394,852,489,668,432,225,055,819,671,953,185,556,997,418,995,308,074,741,
868,188,798,316,117,284,815,285,144,697,923,495,757,707,503,563,858,752,032,
507,031,197,492,197,743,308,824,507,848,648,206,458,237,157,294,207,744,872,
819,605,355,455,375,121,897,793,417,406,611,179,080,052,287,253,951,679,938,
107,470,327,389,177,377,435,726,779,519,843,900,991,931,291,717,967,675,470,
574,100,333,952,479,798,656,809,567,582,705,552,778,014,247,685,335,210,570,
815,092,459,577,274,654,765,941,881,827,880,739,947,657,325,362,488,361,061,
643,179,351,810,749,085,047,241,037,125,165,645,296,768,232,288,522,942,610,
700,299,745,862,459,042,927,145,704,014,302,690,790,421,498,221,570,575,453,
842,783,603,910,339,272,083,844,264,519,139,412,722,648,413,668,523,028,433,
589,593,367,097,031,954,466,994,726,179,849,536,442,359,724,599,207,386,971,
799,703,863,551,501,784,663,813,644,233,735,001,815,337,183,675,910,972,040,
941,462,675,701,616,415,177,357,024,554,534,430,164,512,069,358,455,281,522,
250,522,105,527,946,381,522,062,595,354,016,794,909,941,261,708,497,599,626,
622,002,765,246,000,376,522,407,464,223,663,896,829,778,529,350,892,335,997,
346,834,969,237,183,566,846,219,437,950,613,407,613,023,828,909,521,121,999,
086,554,167,735,290,891,152,065,107,058,297,374,716,855,934,638,341,445,614,
914,269,550,897,342,650,172,251,016,837,580,443,443,366,661,184,443,721,214,
319,902,251,009,957,614,497,163,866,655,333,918,628,700,171,421,941,381,789,
265,217,201,036,398,663,301,747,473,899,372,123,245,791,201,887,020,007,816,
299,793,752,252,001,342,661,500,732,825,739,344,558,096,997,437,531,775,693,
357,406,808,524,411,044,046,698,361,820,631,307,058,135,514,036,375,943,566,
712,233,835,537,422,123,184,620,687,136,414,459,864,537,012,554,729,265,745,
138,694,152,785,122,151,920,622,588,298,739,068,618,895,358,789,047,479,239,
842,870,442,734,537,360,364,609,956,032,813,638,536,295,594,910,511,267,419,
219,040,373,239,860,411,239,770,471,010,128,870,151,974,885,982,147,513,830,
136,065,308,402,716,302,554,541,467,805,946,200,847,593,198,971,487,674,931,
869,725,427,189,178,252,075,854,156,792,764,616,533,187,268,012,013,231,446,
169,777,789,101,009,023,265,635,003,206,217,601,250,813,551,613,145,524,063,
702,350,164,067,581,421,886,515,695,158,132,343,976,228,125,656,497,707,844,
368,897,318,913,495,478,645,890,684,577,549,752,392,689,104,119,051,449,247,
353,730,402,546,338,132,686,645,376,140,912,277,083,387,112,533,318,635,832,
858,152,352,915,185,596,190,901,606,976,728,270,225,742,556,099,828,499,452,
414,833,597,246,036,560,097,135,707,897,502,582,865,874,401,864,736,835,214,
130,848,955,996,845,459,184,124,922,845,009,578,325,277,846,337,864,605,830,
165,144,249,133,877,634,470,699,203,369,613,906,559,073,676,048,956,865,726,
476,406,677,010,043,704,339,602,776,050,906,148,630,608,707,506,953,999,483,
732,089,396,128,155,208,875,881,342,504,652,348,132,294,202,862,896,874,595,
374,151,620,077,189,451,308,482,175,253,586,914,412,622,715,528,916,366,373,
592,008,251,227,206,470,519,686,373,541,702,233,030,309,970,710,924,440,970,
348,854,974,091,540,707,498,808,124,491,191,124,892,279,807,710,756,867,592,
166,666,156,589,196,226,275,779,661,110,350,815,229,972,468,900,485,382,126,
622,367,744,584,948,514,514,756,334,105,031,893,893,007,843,388,929,927,599,
978,465,981,059,969,115,187,887,622,932,735,246,577,997,226,462,649,023,245,
275,160,674,264,151,572,198,022,377,659,203,339,500,961,568,723,410,005,467,
124,246,112,094,575,966,116,225,019,572,865,848,011,909,965,489,420,085,951,
614,691,274,454,858,498,752,594,054,471,222,140,916,299,224,558,411,058,982,
759,398,729,303,135,570,539,385,747,118,625,644,607,387,638,611,773,813,516,
275,345,202,692,725,888,141,727,949,765,244,483,755,030,690,661,955,459,868,
515,342,675,067,292,456,167,629,466,274,482,379,170,074,372,523,908,672,694,
147,904,512,686,001,225,080,658,171,415,709,715,280,163,964,635,119,594,463,
673,955,174,681,801,244,776,356,207,386,867,773,262,122,379,655,478,542,025,
574,741,649,517,578,807,657,117,630,870,620,704,228,436,698,150,889,438,923,
733,536,422,545,127,351,728,261,127,049,140,822,928,678,878,467,666,552,154,
821,537,495,690,233,173,843,054,562,179,157,320,807,919,274,942,074,174,903,
790,529,281,345,193,526,823,670,952,621,722,585,504,656,516,045,407,145,992,
813,523,394,513,784,367,060,366,884,776,170,786,111,785,283,626,380,739,275,
444,671,907,076,855,335,387,927,805,259,738,859,931,308,009,639,609,162,352,
717,158,801,131,355,041,842,266,324,931,314,933,873,059,672,891,830,086,340,
543,975,794,989,201,974,903,786,462,873,289,247,265,569,926,698,355,785,773,
830,941,167,607,745,077,705,076,106,040,780,622,454,135,457,541,689,477,098,
351,736,975,033,118,856,797,310,386,026,552,296,640,294,345,853,918,150,108,
370,220,405,437,485,689,233,710,764,375,293,337,838,300,695,925,089,682,076,
049,811,483,441,104,542,485,465,030,544,390,579,627,940,870,953,032,526,094,
396,246,739,566,304,144,389,318,009,117,724,105,890,497,678,883,561,156,035,
784,072,475,996,941,159,243,238,404,440,475,712,896,613,452,607,636,329,614,
772,755,152,560,711,363,439,254,103,880,977,008,480,640,323,489,382,373,632,
235,113,485,318,379,780,340,154,057,000,438,795,201,003,658,832,085,241,078,
351,232,465,050,676,297,093,601,874,326,308,518,003,419,900,115,654,405,585,
015,011,215,857,965,110,154,359,867,230,169,747,474,913,552,307,524,858,810,
185,513,217,750,951,856,291,605,322,544,434,314,736,198,731,546,912,703,961,
092,661,453,998,141,785,089,789,729,307,568,309,845,573,319,767,871,134,293,
458,717,646,768,054,678,465,591,413,138,749,310,684,876,029,147,522,312,854,
246,933,973,757,828,473,111,274,236,625,337,788,688,727,386,418,871,135,557,
259,683,503,983,141,418,182,573,600,823,333,762,835,076,064,907,593,307,223,
474,340,443,510,164,764,461,987,779,557,802,771,676,649,816,149,456,534,070,
746,613,084,266,957,275,988,480,992,665,093,646,524,695,973,399,432,884,189,
378,194,063,484,964,265,640,390,073,749,378,330,028,049,472,346,424,634,577,
388,411,711,375,418,329,189,970,643,242,879,306,212,831,459,574,072,906,978,
168,004,799,185,441,907,689,507,842,332,518,688,821,943,324,494,684,660,846,
054,108,415,739,932,979,813,379,042,881,196,227,688,358,685,720,197,916,203,
890,701,220,783,661,139,476,394,966,290,870,703,198,363,305,108,766,071,599,
642,456,802,994,793,253,855,350,205,806,352,497,807,058,890,755,201,433,462,
348,161,665,590,090,411,214,424,930,002,382,166,056,790,091,417,265,235,687,
640,631,679,162,174,936,682,046,917,290,060,442,652,269,214,135,773,073,780,
470,608,931,942,235,067,736,523,517,037,524,952,560,276,402,187,850,772,314,
856,939,890,779,458,156,125,811,336,544,468,125,511,062,422,974,579,428,754,
928,016,976,114,233,467,328,253,212,545,593,111,064,716,394,336,697,009,933,
166,079,251,615,889,167,655,582,803,095,097,758,960,187,361,250,451,241,726,
288,991,728,738,269,191,140,134,787,414,846,969,182,914,158,207,525,480,042,
394,386,689,178,757,136,448,812,251,579,178,388,452,346,813,774,584,603,794,
073,868,464,643,619,412,179,788,974,830,004,365,111,276,516,894,552,866,846,
203,057,513,238,422,113,176,404,604,556,922,134,121,613,110,397,694,311,343,
611,504,726,338,289,519,111,247,392,320,619,073,938,271,807,422,288,488,670,
955,905,246,266,516,529,845,074,128,262,841,880,476,812,902,584,562,056,335,
126,797,777,607,593,252,625,392,470,096,069,561,602,655,288,773,351,541,571,
286,742,418,069,593,429,192,547,154,847,729,152,149,939,145,375,295,998,569,
023,084,711,432,869,490,283,551,836,824,671,615,307,510,037,682,156,537,746,
397,304,822,343,461,890,093,199,705,338,902,096,298,361,180,551,592,765,011,
942,956,526,632,918,075,165,211,918,724,014,867,166,552,513,827,049,067,740,
906,580,356,563,913,591,371,489,185,896,906,232,683,287,273,010,485,855,686,
787,031,265,841,530,914,265,738,073,299,190,917,147,463,308,503,532,863,668,
334,444,778,563,853,383,906,827,423,579,656,799,442,876,210,724,808,259,556,
960,079,873,017,602,359,888,378,501,122,961,416,671,051,537,836,549,048,112,
064,921,566,894,520,022,211,853,138,106,207,019,284,286,098,465,083,531,983,
843,118,158,137,313,070,926,808,815,128,646,157,561,810,683,216,463,794,362,
081,914,722,151,492,974,898,656,626,049,073,479,953,575,329,798,147,657,224,
415,151,172,721,025,525,758,611,464,140,256,622,035,793,971,293,382,214,829,
313,723,879,974,948,716,686,795,785,420,562,698,850,808,431,078,712,053,449,
133,747,897,695,474,924,996,428,721,678,378,294,610,709,174,148,476,928,973,
508,018,675,324,020,096,855,249,601,156,546,724,031,560,066,310,207,961,957,
067,329,767,280,355,951,300,322,394,852,895,028,450,683,032,293,438,649,664,
308,240,050,213,039,583,043,780,386,431,221,243,249,606,178,336,565,704,962,
768,022,337,754,623,363,615,012,842,677,371,554,009,248,071,079,221,617,214,
831,138,241,779,121,041,367,511,098,131,752,625,036,682,163,800,816,601,869,
560,001,632,769,189,918,867,463,736,138,827,607,342,457,439,728,437,838,592,
102,517,828,828,000,347,754,680,092,231,474,684,678,913,565,311,210,850,947,
354,713,015,775,685,376,476,957,679,926,690,758,457,015,770,561,643,198,312,
745,843,445,676,531,779,013,883,848,945,120,660,839,692,546,857,348,606,294,
564,449,819,360,662,695,151,642,554,447,618,657,073,895,449,602,390,744,970,
328,627,914,591,439,906,715,961,571,053,796,721,732,425,207,711,388,688,459,
264,287,436,027,415,013,871,990,264,144,700,101,147,494,103,570,181,482,402,
880,477,043,885,921,061,376,138,970,924,313,214,728,425,373,251,462,273,098,
462,177,701,197,385,305,389,702,902,301,379,419,667,494,025,157,597,117,698,
910,460,021,294,739,729,677,710,137,311,785,347,579,068,162,155,420,121,969,
658,210,628,339,121,113,699,505,644,359,807,344,086,286,195,186,425,255,838,
939,877,849,599,422,790,674,064,391,739,086,569,927,249,004,521,899,001,865,
080,398,654,326,975,305,970,580,163,343,865,285,024,220,574,838,296,210,985,
371,737,241,227,045,504,179,180,883,438,136,947,359,320,685,108,921,041,627,
435,294,255,906,786,177,185,247,291,384,539,328,560,318,269,910,240,576,236,
610,936,155,486,205,298,113,234,864,445,219,362,255,853,525,646,313,622,599,
796,349,778,819,412,937,273,299,131,845,085,995,862,715,055,856,951,758,333,
940,166,529,025,662,544,691,833,069,834,097,540,763,399,335,510,732,226,604,
122,316,783,184,266,895,928,667,584,503,171,778,069,197,056,980,546,585,011,
900,885,413,337,837,279,774,452,082,029,844,670,117,807,850,374,820,776,942,
617,660,888,858,057,227,028,981,279,014,828,692,298,777,419,835,008,987,883,
205,863,334,190,601,967,403,865,085,638,828,805,787,255,048,869,632,304,707,
266,145,103,499,463,982,091,595,576,938,896,356,606,225,390,297,284,692,019,
236,140,938,520,513,560,328,795,288,030,703,795,085,146,271,032,265,465,017,
157,883,664,512,144,560,373,555,923,264,980,452,485,686,284,671,682,294,320,
651,071,104,761,778,539,072,223,170,695,111,427,139,343,011,767,316,256,934,
281,209,938,815,808,576,468,411,209,829,454,714,350,787,717,060,591,980,898,
582,030,721,302,141,221,213,564,743,145,243,588,235,375,577,306,595,044,486,
756,245,969,591,349,036,441,726,147,744,039,394,593,921,763,267,543,619,467,
662,257,219,246,480,161,532,903,639,705,331,862,427,585,192,024,681,659,907,
027,184,159,822,631,834,795,664,763,314,218,240,095,269,027,197,440,152,422,
955,414,167,984,995,906,812,159,268,843,657,334,742,316,732,949,103,092,026,
572,246,030,345,378,691,288,344,862,230,803,230,069,310,534,737,993,796,882,
353,054,415,697,493,101,358,810,813,321,123,238,103,885,340,315,952,685,628,
276,716,249,228,943,841,681,312,368,211,139,381,895,216,908,673,017,313,668,
929,251,259,608,266,405,593,023,173,489,477,069,174,064,328,802,429,124,655,
641,781,433,047,816,360,875,309,061,869,780,342,477,898,348,576,752,234,137,
272,199,260,992,386,455,114,794,540,511,964,635,810,608,007,477,271,659,037,
799,048,414,649,983,529,627,725,891,314,752,336,186,185,004,662,872,480,906,
192,367,449,495,867,909,247,280,968,794,282,157,389,222,021,449,648,101,304,
995,992,422,182,587,079,163,146,653,965,095,920,731,230,101,046,579,058,277,
777,344,886,608,310,454,919,298,365,272,003,863,785,368,875,309,245,863,931,
122,750,471,213,972,654,335,355,216,258,557,647,559,093,886,259,807,762,258,
580,020,685,808,756,641,870,157,151,202,905,536,679,917,523,828,097,909,103,
163,057,427,043,811,581,153,707,528,201,731,626,260,290,893,086,859,946,702,
469,930,615,383,542,820,248,929,851,347,147,343,992,482,419,220,149,153,524,
596,376,313,220,284,746,867,393,638,936,253,035,311,008,176,104,283,212,750,
797,941,475,825,161,246,792,055,523,448,497,801,739,884,223,224,181,009,270,
292,415,217,792,970,445,618,450,266,931,693,992,110,682,482,186,385,982,482,
940,095,878,300,255,307,634,309,060,686,979,367,804,392,310,478,215,973,776,
461,282,441,621,234,241,699,291,448,418,790,843,730,865,899,411,172,176,147,
072,895,314,758,717,700,948,517,147,483,332,151,645,844,804,117,009,799,749,
459,287,114,865,076,563,486,476,213,919,746,666,068,224,013,096,165,814,866,
477,447,917,274,159,197,697,590,651,664,345,544,208,353,986,016,516,419,783,
819,158,132,214,289,089,037,610,074,409,074,663,158,480,368,038,746,091,113,
303,213,955,362,462,806,479,068,763,890,400,459,461,627,019,121,653,956,171,
505,536,361,877,331,085,991,352,805,613,599,862,899,246,870,324,806,762,254,
475,352,073,005,086,840,855,879,782,651,784,723,350,527,182,022,431,825,527,
431,519,915,734,559,183,966,745,264,167,883,583,837,414,901,268,268,526,756,
735,943,848,791,351,934,695,924,539,796,569,772,871,722,989,246,499,484,309,
704,286,872,774,561,100,300,521,639,601,286,153,956,041,718,259,551,894,062,
254,289,396,295,937,692,009,562,050,268,222,854,801,560,796,314,621,521,462,
309,604,783,679,701,463,326,603,132,111,430,443,798,471,653,953,610,123,010,
433,251,249,059,974,718,207,588,492,465,218,651,969,958,435,364,092,960,637,
047,188,341,572,267,866,388,996,507,350,892,888,329,400,024,538,946,846,484,
147,337,204,652,602,778,446,259,045,285,593,487,156,679,940,281,457,344,277,
237,494,338,095,632,564,186,370,497,556,224,668,111,012,401,885,618,818,721,
690,758,978,981,823,202,868,008,095,705,611,681,758,866,339,604,548,274,001,
065,059,197,103,300,004,997,287,841,994,686,404,935,101,548,687,478,898,021,
163,822,768,662,659,452,214,564,902,938,086,267,016,493,137,403,347,580,881,
902,706,264,280,472,770,094,479,248,069,902,978,716,445,382,820,835,326,180,
271,204,506,599,376,487,435,604,183,221,096,179,199,796,780,912,407,044,547,
186,077,710,459,827,947,264,854,288,376,182,672,176,581,132,809,584,287,136,
302,779,421,016,151,307,252,781,199,594,391,704,294,573,868,979,179,366,054,
981,404,086,244,473,828,207,967,104,014,673,613,644,416,955,324,789,883,886,
267,150,751,308,918,839,232,401,219,274,917,979,901,924,875,524,062,424,860,
581,361,194,315,385,828,928,247,847,363,000,221,278,330,546,770,183,982,964,
188,539,142,824,372,572,896,615,346,707,508,459,538,084,078,002,584,262,108,
505,550,156,329,264,807,755,835,800,800,027,610,183,214,784,705,694,951,514,
412,751,648,133,366,414,856,669,686,974,833,236,365,982,429,834,509,841,387,
816,418,079,983,247,172,439,032,555,461,973,126,217,923,258,719,240,909,086,
364,580,805,305,117,380,101,659,180,629,364,089,307,617,256,581,462,132,593,
343,027,172,190,932,783,447,716,412,545,086,448,739,255,385,569,500,832,143,
282,002,817,672,907,157,136,432,485,728,520,756,892,115,748,027,389,572,785,
559,765,182,720,801,398,403,880,255,702,749,891,081,072,877,440,251,728,403,
013,967,729,007,991,888,680,904,244,386,706,552,387,252,987,452,982,368,140,
070,185,291,067,309,648,845,102,382,060,102,854,284,905,454,952,804,141,770,
592,942,683,823,452,420,786,052,213,939,717,654,858,911,195,648,801,551,776,
872,971,198,128,554,547,973,118,557,402,241,115,326,287,316,708,416,895,521,
509,447,436,895,214,446,415,447,330,053,395,073,844,465,818,611,198,078,448,
953,080,005,817,425,065,463,711,539,621,423,589,177,231,922,738,156,286,654,
271,836,519,484,295,850,866,699,375,248,834,345,325,108,304,392,478,118,289,
626,727,279,074,019,047,336,904,202,578,844,537,981,348,939,088,562,398,252,
647,958,758,302,132,260,225,619,300,225,815,509,449,348,046,320,460,832,968,
658,528,515,308,059,452,186,145,325,041,002,503,095,146,149,626,753,307,100,
283,221,364,408,846,300,680,211,112,909,662,251,958,226,916,130,619,196,185,
355,854,244,616,002,325,908,061,990,062,514,516,084,099,702,306,654,695,639,
778,243,144,917,892,062,560,990,335,447,467,128,095,762,782,515,530,838,385,
652,014,022,537,302,561,575,912,575,821,377,121,028,099,965,211,565,297,981,
137,450,836,956,722,686,098,237,080,889,165,713,498,745,308,213,460,296,007,
520,459,523,558,582,262,111,558,756,144,804,844,413,927,230,804,722,805,474,
281,007,032,051,387,103,019,046,915,180,383,877,939,585,611,266,204,464,404,
119,176,189,622,726,812,807,414,912,530,848,098,130,211,269,566,757,393,993,
304,259,853,629,696,767,025,683,891,394,079,701,816,224,496,827,761,399,983,
718,614,330,169,898,112,004,088,274,217,871,833,345,094,445,909,422,577,252,
308,463,399,943,945,620,106,480,841,438,780,406,342,052,375,866,295,599,830,
608,003,876,581,511,537,368,712,439,777,107,893,507,723,894,491,727,490,712,
261,743,785,861,441,141,593,701,099,681,234,956,260,239,166,320,437,352,866,
187,818,027,012,347,382,978,770,657,009,288,070,084,954,775,358,657,183,118,
372,660,708,628,570,852,351,383,115,328,770,665,249,371,397,879,221,169,457,
636,760,673,902,475,161,609,655,992,023,951,597,783,116,737,488,741,069,046,
662,110,609,563,864,402,197,757,689,153,018,070,544,949,358,247,865,402,458,
236,880,243,367,063,755,144,142,089,894,053,549,941,497,895,367,805,719,633,
824,053,228,977,370,344,672,854,860,921,714,578,769,905,605,084,864,019,121,
242,846,187,864,949,538,993,446,519,774,076,001,837,353,510,931,333,496,851,
584,752,774,963,101,441,920,141,481,236,457,028,574,392,419,168,793,665,767,
809,649,005,196,740,708,823,334,369,493,929,489,960,325,964,309,197,032,045,
638,726,919,709,171,222,239,952,629,655,254,051,352,019,262,920,237,738,928,
927,447,967,280,722,260,991,239,986,691,433,945,669,595,568,018,439,322,929,
816,885,254,011,741,630,026,427,373,714,318,316,709,708,366,614,174,871,754,
583,710,311,067,862,226,733,911,353,806,592,339,625,030,280,378,515,640,351,
140,997,379,449,538,624,100,496,376,102,493,870,133,474,803,126,145,667,012,
090,463,720,950,911,382,354,913,067,504,110,605,817,313,234,097,702,114,604,
146,650,469,055,411,657,596,636,116,492,486,398,191,172,371,930,981,020,081,
573,457,459,494,603,528,985,151,067,067,175,198,688,856,792,970,196,561,186,
590,264,004,523,269,511,415,208,591,202,502,291,190,893,930,286,964,089,326,
125,563,455,460,193,223,385,711,962,133,923,692,417,473,908,557,467,030,670,
639,562,938,011,549,803,957,312,947,842,799,705,257,614,044,245,929,150,209,
156,353,784,103,961,778,328,188,803,696,264,059,107,031,077,615,668,824,117,
194,105,167,293,040,413,065,556,934,768,552,371,315,912,002,444,446,435,871,
053,913,660,167,746,920,161,855,500,129,475,109,846,281,066,826,065,195,734,
253,093,314,012,710,814,801,237,610,335,686,987,316,970,029,751,079,621,159,
826,437,291,086,492,520,417,073,072,811,947,379,940,975,912,189,706,501,421,
837,028,295,635,661,037,601,749,901,124,426,980,946,876,492,032,977,811,557,
433,755,580,542,562,949,160,107,877,714,853,288,814,193,774,898,794,246,150,
830,471,805,809,291,882,157,387,786,266,266,075,450,939,463,638,459,714,715,
269,020,505,640,401,491,084,552,302,939,715,804,280,631,923,892,081,937,105,
623,438,587,418,178,699,104,389,900,358,020,981,177,212,381,689,691,125,695,
799,929,470,338,619,686,156,807,757,432,679,632,665,221,311,993,840,342,288,
686,403,911,026,870,103,894,145,501,115,334,378,165,948,647,493,411,453,126,
748,606,593,214,538,072,573,216,143,629,187,421,516,477,408,223,983,578,672,
060,830,671,200,959,741,189,604,454,820,307,764,325,236,964,370,769,206,186,
239,217,283,207,928,588,536,626,294,870,734,355,113,796,696,613,632,879,522,
987,081,316,350,829,625,099,115,752,112,159,745,530,828,538,828,169,998,290,
604,400,077,047,087,010,745,437,684,511,535,347,876,945,353,087,643,377,748,
948,436,678,909,147,637,818,103,685,991,155,752,751,103,144,288,263,120,872,
506,529,934,881,846,458,479,491,131,212,440,203,304,486,405,140,077,964,500,
439,766,506,265,252,539,810,610,065,894,556,790,161,834,121,684,116,095,415,
672,725,112,929,581,341,713,960,610,021,996,617,092,573,943,896,026,779,094,
047,338,966,513,268,302,479,125,790,934,043,966,195,037,061,871,474,209,004,
555,401,941,312,351,023,151,231,878,700,655,054,623,617,477,941,888,929,893,
165,868,634,856,468,661,384,399,123,928,353,742,965,485,053,819,375,419,130,
249,607,877,559,321,786,233,263,673,213,049,947,980,227,087,725,612,218,764,
950,751,442,243,761,252,315,579,547,862,634,348,625,413,859,467,587,714,292,
026,768,678,946,640,761,230,688,051,936,401,947,022,968,484,531,611,580,094,
325,998,907,744,354,056,849,868,229,494,837,969,917,665,772,919,476,499,801,
196,484,592,554,826,353,913,625,827,337,413,300,981,807,581,717,847,024,665,
753,157,230,322,736,700,822,694,864,860,719,196,038,211,877,334,248,416,045,
954,447,107,100,872,362,350,669,146,867,818,430,634,850,194,942,891,822,698,
329,854,245,194,724,976,288,881,093,077,055,011,825,538,304,204,139,790,919,
027,769,039,331,498,100,822,723,683,048,493,752,693,454,332,269,810,869,319,
177,174,888,853,055,617,910,601,141,068,416,644,560,815,777,519,817,219,705,
462,356,178,922,114,791,845,106,377,838,142,852,811,706,559,623,447,712,967,
962,736,960,145,946,448,663,362,350,754,060,130,101,631,279,201,636,006,691,
862,252,156,179,737,633,056,746,857,965,895,385,658,604,042,055,490,197,811,
527,042,251,628,355,609,607,344,686,799,500,343,481,231,634,367,839,177,171,
757,559,189,435,011,373,414,921,694,853,480,868,439,361,972,152,695,556,036,
631,351,189,784,939,849,703,705,333,427,264,621,906,745,219,219,284,824,476,
640,008,041,907,806,429,971,359,925,710,832,620,561,571,569,304,258,415,512,
720,786,127,805,152,535,997,087,438,397,165,559,442,470,362,412,777,588,742,
559,799,314,236,470,486,172,898,209,226,844,867,540,588,148,481,966,515,111,
532,211,217,286,491,985,334,111,807,581,428,853,423,637,029,726,597,531,137,
012,824,820,107,054,460,423,113,040,423,628,904,172,909,357,088,018,513,975,
074,391,953,375,549,615,750,052,827,672,377,348,022,146,167,132,836,238,863,
910,794,995,945,415,630,038,703,481,755,918,697,871,336,634,729,190,960,563,
841,741,991,241,808,860,191,102,708,877,816,880,158,401,734,206,443,546,713,
727,792,352,226,892,362,779,642,300,065,035,257,439,239,052,209,813,471,924,
109,560,477,340,489,641,041,997,172,880,753,187,545,460,644,497,221,274,259,
774,895,294,422,056,407,942,001,575,420,627,285,055,795,018,752,541,857,601,
673,490,075,809,509,853,564,514,364,071,188,574,611,910,236,383,842,386,272,
324,533,004,527,605,334,549,778,858,524,287,943,310,163,107,919,041,368,625,
284,405,853,613,031,264,636,851,389,125,488,693,064,039,219,229,256,835,887,
887,581,255,206,405,329,485,896,107,244,830,115,297,145,045,913,175,953,093,
677,241,072,484,469,879,708,229,914,625,511,414,688,520,973,031,772,781,055,
198,459,696,479,275,036,171,585,799,043,110,732,472,072,667,260,717,613,641,
007,810,706,334,009,868,005,232,166,473,963,374,903,352,652,133,504,956,013,
714,015,443,993,068,630,604,238,192,554,656,304,091,348,857,689,341,996,138,
843,224,341,783,947,024,225,761,769,883,918,527,485,023,831,332,271,528,289,
178,623,775,091,887,946,934,790,751,448,917,311,802,611,637,436,869,033,374,
913,243,379,286,522,638,636,135,743,035,561,399,959,853,543,816,937,764,970,
059,707,533,909,554,719,458,483,157,052,898,548,925,378,061,113,066,163,385,
159,062,694,771,850,772,614,440,416,186,229,146,134,240,798,365,985,576,658,
470,265,473,035,810,761,473,263,609,959,614,652,730,221,778,631,332,572,586,
003,451,685,306,629,705,964,915,511,806,929,933,669,164,822,117,602,131,471,
237,464,870,339,877,255,024,923,094,557,327,930,365,983,728,328,194,619,066,
885,237,464,147,299,210,334,439,607,913,719,995,267,964,377,847,011,885,411,
362,188,951,338,488,747,856,424,026,584,406,262,304,865,307,698,869,665,765,
320,533,811,148,293,728,405,063,555,178,024,356,792,393,522,738,587,655,189,
517,523,016,899,697,744,090,040,325,535,567,600,090,456,173,119,428,169,704,
700,620,679,936,691,045,391,322,109,479,705,078,555,546,739,463,829,842,587,
720,370,171,768,908,551,715,391,608,055,378,288,851,738,965,077,057,274,819,
603,005,429,185,175,827,617,062,771,559,761,329,514,648,359,624,108,269,386,
913,301,336,297,079,028,604,257,392,397,400,713,896,107,684,614,444,585,304,
696,045,926,964,082,930,648,231,675,730,266,194,877,891,886,436,526,002,977,
452,108,678,762,702,447,619,394,094,933,872,344,589,925,532,942,431,834,166,
539,819,484,250,885,745,428,713,684,529,638,136,399,661,419,442,890,405,885,
573,281,046,131,244,499,417,829,678,032,792,750,860,970,342,110,244,161,038,
809,919,445,914,976,057,404,056,859,484,516,343,978,412,501,910,960,854,866,
936,459,162,603,384,685,930,158,861,690,249,270,629,774,064,854,979,185,925,
115,873,755,927,123,628,565,541,925,053,797,251,793,218,447,857,360,300,120,
706,203,421,405,299,193,472,379,406,925,865,516,819,524,250,119,175,976,066,
301,235,728,600,307,413,322,146,325,764,909,829,509,602,903,998,431,563,539,
274,127,733,623,252,189,033,608,977,492,432,241,843,326,864,685,948,369,525,
510,012,199,684,259,854,241,918,113,145,430,972,502,615,221,201,426,061,107,
805,159,839,688,424,473,105,231,413,900,363,179,070,520,772,304,299,443,527,
812,787,282,809,431,265,012,087,674,133,418,313,356,543,772,670,172,823,956,
722,663,051,491,755,720,986,543,095,377,861,051,039,681,407,525,357,082,300,
331,247,493,560,809,243,052,186,420,761,387,115,107,186,115,078,541,981,143,
683,180,017,610,148,679,908,714,976,290,036,455,244,261,490,279,710,106,158,
669,917,912,207,048,184,365,714,090,144,274,479,964,341,270,698,976,752,262,
266,991,781,074,207,630,853,291,873,187,464,822,419,836,041,551,858,600,348,
469,816,863,604,531,387,223,039,479,120,751,336,612,263,302,272,155,853,017,
691,428,609,416,611,469,335,120,287,515,029,081,685,581,596,750,269,445,764,
416,319,379,994,922,915,925,334,808,263,705,544,891,358,612,188,961,496,741,
398,430,703,341,409,734,052,470,447,148,144,663,534,028,906,637,702,039,912,
140,739,056,154,162,752,189,899,673,689,694,517,875,260,673,481,786,501,493,
134,356,643,988,249,590,161,908,042,910,025,921,663,298,059,189,210,600,423,
461,398,894,810,504,397,744,970,233,690,559,109,414,613,160,403,208,648,843,
515,752,665,875,225,532,550,479,719,355,232,881,432,185,882,776,441,429,241,
175,876,755,359,863,683,755,400,978,542,487,319,997,149,714,842,191,893,109,
384,045,617,053,410,145,923,630,515,711,883,903,389,496,855,809,664,702,285,
929,381,883,400,004,897,444,037,180,675,382,331,398,749,179,511,492,888,740,
406,767,695,949,401,380,114,689,981,439,573,663,409,103,983,250,790,751,960,
897,851,574,615,947,576,646,180,621,994,529,849,413,803,761,175,878,761,445,
159,057,316,959,782,652,981,605,271,178,815,343,295,965,194,193,963,027,224,
149,469,855,807,016,268,272,118,767,326,131,380,898,266,453,258,382,318,357,
382,194,651,566,207,515,254,186,760,422,196,093,600,608,213,630,576,617,187,
945,243,675,961,040,687,498,522,549,819,852,376,042,867,767,094,012,464,385,
642,729,039,464,007,814,734,709,621,509,799,807,335,084,149,134,864,993,224,
427,015,661,822,008,784,162,809,232,656,088,690,356,883,989,959,583,805,264,
302,307,115,234,530,018,662,310,462,419,070,182,169,481,503,378,589,965,260,
515,749,653,947,037,162,089,191,847,861,153,346,195,863,808,091,779,701,146,
437,212,064,942,859,619,620,904,722,790,813,228,032,141,516,762,783,284,809,
407,125,592,905,167,129,757,073,451,653,163,753,828,465,737,165,772,489,640,
375,005,501,079,696,408,388,520,129,714,656,231,952,763,000,535,857,968,163,
972,616,342,960,584,608,996,634,923,079,362,407,487,848,876,665,869,563,855,
780,935,027,246,752,633,270,737,513,936,035,407,382,817,599,699,097,401,675,
999,600,875,910,578,003,083,086,241,446,106,898,216,009,730,426,381,993,775,
254,730,573,086,879,932,363,387,854,576,087,305,287,992,801,747,441,024,701,
307,817,232,263,490,403,459,514,180,418,369,448,928,053,848,094,976,382,194,
443,386,542,079,119,635,155,685,366,021,157,495,911,348,852,882,264,639,949,
922,188,162,158,487,634,958,530,355,290,285,612,775,073,740,774,298,729,704,
699,035,233,790,619,304,400,613,410,949,954,760,329,378,526,737,837,797,004,
073,762,390,021,297,565,708,255,652,109,522,755,410,609,542,292,103,435,302,
030,143,538,332,036,537,140,490,740,969,739,302,307,455,401,317,178,575,129,
321,696,278,077,018,722,661,295,444,904,606,529,498,913,921,945,133,451,380,
220,998,354,708,573,203,463,933,598,260,751,219,868,923,214,837,362,949,929,
742,789,380,865,250,865,406,419,947,226,924,075,529,072,277,712,761,158,812,
956,253,667,802,264,723,119,167,332,177,538,892,877,013,660,721,169,345,354,
577,516,927,861,218,111,599,468,306,400,768,480,858,178,153,585,624,392,433,
581,892,067,584,346,319,318,115,168,131,147,360,970,061,380,283,470,229,131,
000,005,640,036,966,175,085,576,822,962,154,343,819,081,116,464,457,615,682,
824,155,592,822,792,133,501,335,838,240,596,229,168,377,132,657,023,066,480,
076,250,672,543,435,144,358,304,997,038,679,099,900,861,636,095,436,815,147,
468,966,430,577,811,817,231,636,879,656,906,307,304,482,594,939,649,841,503,
776,865,799,206,848,036,963,634,858,400,832,235,355,533,925,559,192,675,652,
433,900,982,966,550,643,537,048,678,704,169,949,176,189,314,469,437,372,150,
553,797,325,492,299,158,734,042,252,698,467,031,109,227,926,480,456,366,671,
203,215,038,505,671,616,109,751,003,842,196,415,138,387,223,359,155,586,145,
232,645,819,434,333,793,055,313,481,389,919,473,142,127,688,180,197,072,638,
234,518,586,618,558,890,935,427,839,880,800,641,010,557,018,307,541,500,084,
366,953,362,635,317,828,940,444,193,846,522,532,479,723,940,739,318,663,132,
381,981,844,921,604,529,678,641,582,275,554,549,295,223,057,586,725,355,994,
912,878,109,930,849,408,482,638,072,939,204,924,455,054,185,757,686,225,741,
391,883,912,521,253,090,857,453,305,597,264,596,179,831,846,154,339,937,323,
696,944,514,184,842,472,518,315,201,943,459,419,508,126,239,062,817,139,633,
961,366,591,650,747,451,784,456,444,069,037,082,056,215,082,520,809,125,478,
361,053,650,643,996,298,521,797,068,286,589,976,035,968,459,142,290,905,308,
198,315,114,498,897,412,020,074,630,006,531,116,211,831,130,918,860,950,670,
762,382,960,664,783,280,142,578,368,924,883,750,555,032,306,230,521,002,362,
280,917,343,811,102,620,624,332,940,519,575,646,585,793,926,426,789,469,316,
732,757,960,533,237,291,877,738,880,611,105,241,008,020,477,928,802,209,617,
733,357,861,202,087,639,848,288,221,327,635,529,396,914,243,640,777,643,958,
133,308,945,982,674,009,248,384,469,098,138,008,587,635,183,417,074,488,149,
928,747,637,150,885,819,178,894,790,972,284,441,179,802,004,302,782,614,646,
343,063,084,555,964,772,367,665,300,677,812,174,187,929,608,454,407,764,863,
070,324,049,050,227,129,537,797,523,363,641,352,501,888,768,367,591,822,239,
809,192,875,754,795,531,935,686,925,215,853,697,675,706,734,414,270,145,486,
616,713,257,633,862,938,359,900,896,375,331,154,505,749,295,917,988,036,393,
317,868,372,959,351,679,244,710,278,284,209,850,553,683,903,022,395,508,506,
716,252,349,418,499,743,322,523,481,106,864,993,158,065,758,712,108,654,046,
297,195,695,704,737,529,103,876,391,358,646,440,647,587,407,081,533,054,160,
217,271,185,044,505,122,658,214,545,126,777,608,274,098,596,496,144,476,076,
289,062,042,775,165,397,240,843,877,228,189,872,006,209,033,887,811,923,968,
346,114,628,601,865,650,002,186,621,330,898,063,948,963,628,418,162,101,054,
351,173,468,889,565,838,625,499,971,949,291,820,193,825,852,280,701,986,606,
509,082,855,223,380,150,102,446,962,453,322,911,103,840,907,850,776,645,325,
516,417,353,333,229,656,338,143,722,157,822,099,328,899,698,416,133,761,310,
374,400,117,534,510,398,389,269,060,665,027,860,378,250,732,849,237,432,045,
105,686,542,052,643,157,396,274,199,936,678,829,948,633,762,087,730,245,112,
115,272,306,339,952,505,939,355,565,254,969,331,373,376,840,458,957,513,314,
495,449,154,453,455,871,894,420,619,259,264,949,595,635,786,653,100,610,174,
374,016,928,241,065,422,080,750,327,980,039,245,766,853,912,513,291,843,135,
878,852,355,103,525,264,410,109,381,236,104,739,467,342,838,789,802,206,712,
178,694,287,198,465,430,238,204,030,813,582,338,880,584,236,932,086,983,601,
237,743,318,739,289,775,389,632,364,436,528,332,943,564,289,254,450,398,900,
532,872,499,487,337,473,948,899,345,564,443,621,674,362,286,114,674,573,142,
106,873,282,915,379,148,857,136,274,165,712,008,117,558,637,381,344,830,036,
371,740,420,834,167,840,807,029,371,777,890,801,950,020,389,195,275,107,204,
873,340,306,504,726,616,875,419,638,153,532,200,621,741,589,498,605,102,619,
268,946,946,645,031,680,505,854,035,568,892,658,388,984,811,498,305,309,542,
097,023,647,803,663,051,308,312,949,343,720,202,574,348,609,405,675,491,659,
207,464,953,859,151,554,142,749,123,017,571,398,291,780,382,156,435,390,093,
202,436,376,881,509,071,575,714,551,840,689,332,850,568,468,294,782,914,375,
954,530,525,042,199,784,911,606,083,948,996,328,273,977,361,110,607,047,927,
283,295,547,904,885,774,307,981,037,028,561,540,844,129,101,557,615,457,887,
144,613,458,389,519,867,400,212,723,570,561,427,996,194,183,446,161,082,048,
699,944,184,400,315,916,315,514,926,088,918,366,114,587,794,464,136,537,174,
393,504,788,499,869,805,188,634,806,953,472,452,084,020,436,861,073,597,495,
716,958,153,473,476,937,015,485,859,103,173,105,145,750,249,916,911,248,534,
964,564,583,239,406,034,299,202,640,948,025,918,297,575,463,827,953,382,632,
956,661,109,736,196,596,595,548,300,565,338,870,165,378,768,898,254,353,711,
325,504,424,594,142,721,530,999,283,654,320,027,769,055,720,661,470,022,650,
829,380,708,237,150,627,638,482,499,885,388,994,872,225,334,764,921,344,242,
080,813,325,885,586,445,951,357,154,679,820,559,806,086,854,989,205,674,532,
335,459,949,266,136,744,138,359,429,742,603,317,509,670,148,050,519,539,204,
519,824,132,550,549,507,461,876,201,617,041,325,013,443,399,863,523,148,111,
030,899,300,866,368,645,335,154,257,353,450,359,127,315,757,477,594,617,667,
834,877,302,712,657,210,503,023,038,103,127,197,569,397,991,251,850,890,194,
877,635,509,060,948,505,237,740,032,013,814,507,434,853,567,390,991,819,367,
354,208,176,418,765,960,939,018,311,488,377,114,056,823,119,899,010,193,919,
050,469,059,520,720,101,224,364,863,891,591,232,145,488,147,820,380,742,933,
788,855,754,656,129,402,191,885,000,545,191,854,900,332,933,967,109,530,887,
602,605,108,191,229,333,385,414,700,295,534,259,538,953,638,840,668,748,543,
114,271,946,722,321,953,980,752,165,152,773,498,534,623,921,883,327,981,577,
148,891,010,491,428,900,049,748,322,291,105,446,241,777,904,683,164,053,978,
036,595,663,461,559,492,252,538,735,155,695,047,045,753,407,591,890,698,914,
185,183,737,869,608,065,142,195,962,415,896,114,021,066,146,445,849,885,646,
361,701,707,652,949,085,190,668,541,196,627,683,296,299,557,063,450,903,167,
341,322,412,638,825,924,217,834,808,869,003,439,690,225,034,796,804,942,552,
586,747,465,305,825,512,345,297,521,483,755,974,046,785,546,477,942,454,315,
996,986,321,853,761,905,437,498,809,702,216,503,318,010,371,226,932,038,169,
798,761,795,973,083,845,214,653,422,296,915,732,951,293,584,652,133,453,648,
821,011,137,007,872,582,567,216,412,165,124,299,830,102,432,064,067,978,977,
165,095,053,820,852,896,478,319,686,099,273,361,071,944,501,850,615,888,191,
264,910,206,826,133,960,214,922,084,726,929,424,285,720,608,484,303,402,836,
882,442,754,271,594,939,002,880,082,874,456,319,141,464,169,660,292,222,707,
157,011,187,205,793,874,320,802,086,619,388,390,660,212,688,838,228,408,889,
582,192,316,741,640,427,441,690,332,248,586,856,108,356,654,861,750,729,817,
263,222,703,511,963,163,450,178,914,329,461,495,770,588,823,819,782,466,590,
255,691,697,122,696,474,106,829,390,267,484,394,242,009,959,940,348,598,818,
354,745,930,579,275,487,085,008,508,429,248,038,803,154,266,876,525,289,536,
359,466,605,431,309,779,263,895,264,497,050,597,637,376,108,769,361,503,869,
613,782,658,925,909,348,994,062,333,974,654,064,973,498,774,637,491,362,030,
528,708,722,607,177,820,687,927,139,306,925,266,126,288,145,055,246,573,706,
044,432,693,581,565,341,694,245,847,328,440,705,494,878,360,740,688,422,367,
809,835,025,386,746,247,031,916,984,753,068,895,859,126,122,027,060,123,847,
978,265,800,578,060,780,861,410,495,286,745,282,990,552,734,878,612,638,930,
328,051,339,274,118,732,476,499,260,518,247,743,782,497,025,904,970,929,396,
668,380,342,514,773,079,318,059,326,645,581,523,744,306,798,212,616,751,474,
205,172,971,630,814,065,853,947,681,728,208,665,712,653,442,056,927,826,931,
286,032,458,433,923,215,677,100,270,475,407,174,729,792,924,669,191,864,532,
802,636,384,472,519,620,754,481,645,238,434,935,873,763,009,920,607,996,589,
318,450,940,783,253,907,200,007,616,035,830,768,931,046,983,335,726,747,828,
074,918,728,856,297,116,303,434,968,705,069,437,605,109,945,396,511,812,802,
625,820,831,893,505,944,873,164,403,810,814,101,746,193,920,986,355,890,841,
245,361,490,082,189,534,075,730,363,112,257,200,932,475,476,829,918,694,520,
787,209,306,682,597,004,956,209,231,954,296,747,279,734,898,028,213,417,564,
006,321,038,103,897,909,147,598,998,275,990,320,495,907,659,943,434,912,712,
581,073,013,953,850,407,206,531,709,882,309,057,075,420,650,091,060,137,417,
807,114,313,416,002,565,645,962,748,124,353,521,235,239,888,046,807,153,451,
740,618,337,959,281,647,296,915,470,414,833,121,605,359,931,638,369,410,240,
687,360,156,922,570,701,869,170,359,033,332,442,650,950,386,187,767,089,099,
277,637,141,426,956,075,334,364,321,824,664,128,872,956,911,428,974,036,410,
266,687,150,916,774,188,527,311,903,256,736,815,181,848,379,642,632,938,236,
722,533,455,852,568,749,524,693,696,322,109,613,386,155,833,185,916,393,297,
841,458,200,259,095,074,703,792,365,618,897,764,112,371,287,569,442,678,099,
252,585,226,337,791,977,527,313,042,550,598,380,589,075,224,978,983,483,420,
976,874,936,642,712,333,382,277,729,719,894,901,481,343,524,694,576,618,283,
418,208,721,082,127,921,672,617,513,311,732,084,710,497,993,188,551,314,391,
262,077,379,612,235,297,495,964,009,630,248,871,392,075,473,395,397,726,220,
698,015,398,192,177,843,185,678,280,758,289,167,326,712,077,829,457,113,029,
281,438,658,980,999,578,547,665,227,806,217,788,949,904,114,211,784,771,356,
935,839,599,093,822,464,544,548,539,672,097,597,972,993,226,394,744,738,650,
960,037,712,107,122,161,338,438,633,836,819,725,613,715,925,647,204,894,970,
875,016,117,369,563,678,261,418,569,099,437,919,128,805,017,259,570,983,026,
537,281,784,575,364,796,092,511,118,668,850,320,269,804,477,181,549,708,476,
645,522,445,103,759,276,720,932,727,371,415,398,637,368,569,321,267,429,349,
320,064,254,601,565,404,385,207,010,613,066,615,908,518,531,176,811,663,240,
880,678,493,724,551,000,718,602,112,206,938,219,224,004,702,360,517,017,917,
783,301,971,716,387,051,887,011,970,653,617,457,265,316,523,400,664,842,468,
134,743,555,408,945,172,490,871,818,972,506,398,514,786,062,605,324,568,454,
066,636,951,437,820,095,454,566,493,957,857,571,761,446,620,935,149,268,098,
543,166,249,357,245,572,939,595,421,099,339,603,728,498,154,935,995,709,025,
421,262,926,602,552,635,501,989,075,108,477,100,005,735,593,291,871,237,127,
999,352,662,440,882,047,079,955,411,777,060,538,621,295,603,574,562,139,291,
610,137,708,019,528,613,644,728,244,932,475,872,071,846,241,477,842,188,587,
143,470,825,258,369,550,807,036,360,279,459,593,684,636,847,340,779,867,162,
476,424,143,035,388,260,221,736,857,614,024,712,536,950,877,910,586,887,649,
994,062,139,024,470,540,303,671,508,937,655,682,675,602,258,190,145,575,279,
205,008,136,304,071,030,634,319,693,024,933,821,085,865,750,289,713,670,448,
969,049,364,006,665,417,104,562,738,229,475,410,206,584,295,410,845,788,972,
873,026,605,909,554,142,124,077,185,282,507,765,790,340,223,284,272,064,001,
105,726,474,447,904,460,982,601,113,103,028,134,175,515,785,228,877,074,830,
707,071,619,881,888,043,557,127,362,178,615,478,404,385,303,559,550,557,395,
347,732,107,809,905,562,787,674,387,795,631,633,067,604,065,802,878,833,358,
124,762,519,396,775,036,631,561,315,436,973,760,636,135,424,624,705,317,253,
043,695,730,566,997,094,246,343,948,818,580,391,316,746,617,878,472,901,645,
228,687,889,641,615,913,976,181,706,515,874,796,550,381,592,231,146,701,350,
200,212,659,239,739,528,114,661,987,760,291,947,617,882,369,341,054,753,843,
150,359,939,677,682,764,974,188,530,324,187,546,546,072,012,648,741,881,052,
415,921,371,621,364,322,633,588,905,034,524,904,457,785,692,523,236,363,933,
947,044,034,511,491,405,189,518,488,971,751,209,830,737,026,236,807,492,511,
170,004,899,332,582,221,771,082,749,204,756,526,075,859,416,108,978,809,422,
683,696,964,365,546,546,972,612,074,832,207,497,522,713,183,135,837,795,501,
592,193,514,171,163,010,456,832,645,141,084,953,494,881,167,137,118,331,279,
467,948,832,170,681,688,449,220,116,098,966,858,269,024,913,502,310,741,970,
190,497,106,565,638,639,991,591,109,431,425,025,661,525,225,151,169,738,033,
963,768,691,458,240,455,575,428,915,350,287,281,114,576,781,339,804,441,531,
083,520,291,439,640,083,006,537,902,616,838,369,393,897,842,181,675,638,656,
194,402,324,878,906,388,066,002,988,122,012,912,420,535,625,049,926,654,744,
675,216,828,358,998,625,160,597,755,153,128,213,993,098,142,027,141,803,014,
060,749,391,652,579,911,792,877,575,100,117,520,371,555,764,699,373,044,128,
906,729,187,243,870,067,496,661,454,260,678,399,281,847,500,112,949,838,188,
128,591,217,687,228,735,802,118,199,294,813,271,923,124,203,056,007,982,469,
196,171,231,046,462,536,733,353,154,380,847,288,715,265,914,731,537,027,957,
353,793,120,980,076,327,941,626,640,293,085,742,388,015,166,082,856,665,140,
739,870,333,027,595,280,298,700,573,091,740,432,796,110,574,223,551,978,911,
124,777,196,159,076,433,045,445,697,540,623,886,845,029,598,961,240,647,228,
864,713,050,992,361,971,881,326,661,460,717,729,937,124,724,851,537,387,100,
287,128,217,217,068,406,501,457,896,512,118,008,983,948,000,088,439,744,231,
316,346,071,637,603,075,262,728,427,595,640,514,544,705,365,796,657,736,359,
362,571,236,820,646,336,226,863,768,219,417,148,044,336,249,182,196,240,086,
598,040,680,120,716,218,179,717,107,192,266,854,072,816,577,896,417,286,750,
312,824,426,771,993,176,293,150,822,945,589,347,717,702,663,117,677,223,199,
849,665,025,590,671,075,136,370,072,422,971,903,372,195,671,308,071,990,344,
819,699,503,992,021,214,130,895,990,346,920,585,608,721,192,630,712,048,636,
288,099,435,030,581,513,782,495,498,703,093,040,007,676,310,489,975,340,413,
070,046,326,880,362,506,085,332,616,277,776,161,215,470,791,681,193,638,521,
375,013,595,700,715,998,902,146,622,654,813,522,636,453,862,391,840,756,108,
668,798,489,680,745,440,916,451,050,195,532,782,206,936,020,822,709,154,553,
728,554,819,659,174,147,967,409,102,949,728,832,162,409,136,877,319,367,541,
738,842,059,509,791,394,425,228,934,967,261,221,755,116,877,198,430,570,039,
774,481,258,438,218,883,336,652,093,059,963,899,520,958,594,356,209,516,293,
614,035,256,530,417,022,463,175,184,945,646,077,200,909,672,745,074,542,772,
197,329,985,393,859,964,203,691,996,780,510,016,508,609,762,990,843,909,240,
622,837,714,072,725,039,807,080,949,100,968,079,576,290,216,410,777,609,397,
854,821,369,520,709,697,820,991,806,300,027,424,910,301,978,756,826,326,342,
498,872,559,026,229,935,731,537,065,498,047,100,133,765,088,540,876,402,309,
100,276,933,679,375,661,871,577,367,108,480,268,951,302,429,010,299,142,375,
352,963,993,774,904,372,916,308,844,838,247,734,076,705,460,542,328,712,099,
665,459,069,992,888,155,178,033,679,786,884,310,216,117,335,738,847,084,905,
179,063,601,355,415,390,784,164,857,523,441,517,844,704,489,089,577,475,262,
977,990,775,809,129,998,735,488,173,513,251,611,331,173,895,837,316,542,497,
034,675,613,998,671,125,663,434,457,317,172,452,150,726,971,959,635,582,707,
071,309,411,562,846,118,930,376,711,396,019,750,027,598,923,145,529,783,044,
009,391,791,315,594,901,393,032,544,850,690,811,835,318,882,807,119,238,825,
501,165,425,125,867,275,307,946,000,063,716,881,926,006,805,291,437,581,884,
051,058,915,412,772,797,166,825,402,708,509,222,641,712,455,651,996,109,853,
249,370,649,134,165,368,433,033,942,103,372,927,339,399,974,466,298,937,131,
252,880,587,346,569,390,292,792,093,954,596,436,749,617,552,297,609,500,262,
286,834,611,029,425,428,873,357,342,209,524,211,279,434,727,902,903,656,546,
864,127,370,197,879,516,192,782,785,565,402,540,557,947,918,938,723,407,741,
332,471,245,749,280,163,890,311,425,596,866,155,955,591,162,160,350,523,291,
080,858,242,881,234,832,966,767,699,694,707,962,228,755,505,982,466,908,580,
487,515,488,344,371,115,849,203,965,381,322,109,680,032,629,539,515,076,771,
855,169,130,820,577,778,695,211,981,397,853,237,198,217,393,238,931,268,604,
787,324,999,869,367,914,519,504,676,727,456,399,069,705,684,154,750,544,524,
424,849,799,367,373,312,629,432,401,197,170,294,806,954,230,744,450,022,795,
597,751,524,489,015,984,834,218,792,886,784,665,568,333,552,051,338,713,353,
264,055,669,965,099,633,556,071,584,421,285,293,151,364,502,662,457,271,405,
017,634,828,175,329,557,090,207,132,227,595,428,584,316,345,430,837,816,954,
312,617,120,579,591,571,468,824,216,757,589,620,543,364,960,084,587,855,482,
783,320,788,979,257,829,553,215,093,600,441,570,138,020,142,733,606,783,862,
414,117,756,503,375,969,597,303,158,816,645,893,503,283,662,354,942,377,378,
679,220,068,158,857,931,486,418,294,691,616,575,615,317,721,503,841,246,695,
442,207,575,578,183,310,698,687,829,527,817,639,220,449,239,708,715,036,352,
365,777,978,695,881,256,307,467,693,678,533,714,290,467,366,907,722,944,502,
796,973,560,755,224,998,867,460,416,862,627,618,821,792,540,165,941,936,470,
253,323,573,998,510,306,067,613,600,090,748,598,141,917,839,273,223,597,168,
912,001,769,196,372,695,627,725,979,019,100,508,144,268,990,382,298,795,353,
135,436,870,851,635,772,240,061,021,022,975,421,731,348,991,481,044,182,434,
530,448,027,093,553,909,212,020,187,305,893,506,927,843,979,101,470,939,539,
410,456,477,692,358,709,842,103,196,986,285,343,562,436,225,903,559,644,541,
530,035,459,283,795,781,203,796,800,310,940,980,736,976,200,302,692,585,481,
942,483,350,607,141,474,085,207,459,969,025,558,203,063,324,268,365,017,607,
770,263,998,104,453,961,392,495,786,715,026,253,921,405,698,982,988,654,521,
660,890,114,575,521,774,929,675,189,039,958,724,115,556,683,745,768,586,117,
771,004,216,298,323,523,833,422,772,660,188,159,291,924,262,641,811,750,642,
172,866,889,367,887,628,260,092,384,416,429,821,068,991,579,675,823,971,788,
742,217,073,604,162,021,564,011,862,256,985,165,613,929,354,896,296,287,516,
712,789,655,805,808,897,594,029,633,049,022,712,661,469,328,558,691,340,219,
502,889,496,571,534,182,529,316,735,809,807,748,069,066,446,274,734,311,383,
647,571,846,082,302,563,013,458,968,594,760,297,253,159,526,585,532,086,287,
367,296,967,283,843,179,369,603,572,406,660,471,233,861,306,380,088,394,005,
591,784,246,596,345,687,889,205,970,452,804,959,136,938,716,337,200,596,560,
357,826,161,847,617,259,669,955,683,577,105,645,803,948,051,578,639,523,088,
558,505,514,702,628,560,984,045,641,495,436,583,932,660,384,899,940,019,203,
344,820,587,302,860,379,118,430,865,575,973,887,760,515,952,094,229,596,260,
168,107,299,148,408,609,923,093,236,422,479,115,279,374,656,381,884,067,650,
921,142,960,800,573,160,250,793,135,062,492,353,290,740,312,771,695,770,981,
083,716,021,296,001,574,405,798,539,699,930,924,626,756,196,379,762,811,422,
012,715,239,415,849,921,513,161,487,759,284,003,741,703,336,507,495,053,021,
552,151,250,844,069,196,548,496,304,416,588,301,153,457,365,989,210,561,374,
264,740,412,626,542,455,354,696,846,994,282,655,395,865,781,115,122,147,674,
402,878,356,421,835,206,819,878,017,850,815,090,447,203,904,736,697,603,579,
072,783,821,270,941,567,112,271,934,448,761,608,351,852,138,257,219,009,435,
329,182,744,403,678,331,551,154,258,721,871,925,376,518,799,532,857,053,786,
589,168,985,706,831,473,083,034,225,683,870,972,310,493,238,083,757,721,976,
728,572,889,154,979,371,375,053,300,920,337,667,552,375,227,441,567,742,898,
984,538,721,026,932,499,541,687,229,643,659,361,531,087,346,438,562,023,013,
349,810,905,532,564,997,127,534,705,347,956,554,817,985,326,126,207,147,021,
190,017,379,051,573,882,032,698,019,997,549,438,115,358,725,106,413,355,431,
568,838,006,310,131,014,740,129,090,896,566,561,630,322,685,198,130,405,087,
582,342,162,926,143,912,601,004,006,078,013,597,319,518,289,737,598,297,381,
217,028,039,031,961,762,203,318,046,182,290,464,109,758,718,398,909,158,870,
668,726,127,334,828,961,528,737,966,715,222,823,353,038,478,905,720,100,477,
898,368,723,400,777,649,529,530,383,227,393,099,046,907,947,411,740,571,192,
699,698,488,554,883,715,853,620,269,481,319,855,471,277,687,337,859,606,644,
092,659,030,048,697,723,999,297,039,033,024,211,612,478,609,061,535,417,401,
440,726,529,741,820,831,215,872,343,597,219,373,791,192,150,114,734,606,337,
864,956,761,249,433,290,273,640,200,849,834,432,693,224,749,559,563,431,874,
891,762,190,158,052,547,822,226,674,198,480,005,916,033,415,316,124,163,242,
716,274,220,333,784,044,813,456,158,203,053,828,364,446,204,939,593,953,978,
733,942,236,414,834,190,349,615,403,082,194,864,616,842,954,193,993,894,607,
597,278,782,466,406,675,086,019,652,459,340,646,424,546,440,416,152,689,470,
596,600,992,163,134,678,388,342,559,453,975,646,329,043,951,182,643,212,769,
705,826,252,852,018,848,983,251,663,291,596,704,127,543,640,508,681,167,081,
915,519,498,913,870,227,502,610,301,236,693,976,794,224,047,194,098,307,004,
233,055,982,250,389,630,183,357,440,746,028,037,606,388,702,587,904,260,924,
848,738,588,969,326,678,240,418,214,298,212,440,963,030,114,914,645,121,311,
942,016,420,256,187,268,946,022,494,367,738,900,045,417,034,479,879,977,422,
833,484,376,912,632,588,154,228,279,788,522,722,193,414,906,919,932,256,816,
729,601,298,255,329,334,627,794,914,977,010,061,098,644,097,130,094,635,211,
042,218,382,124,157,282,210,561,575,243,250,994,288,655,429,864,301,324,470,
500,594,551,391,166,035,957,622,941,987,528,836,155,429,425,487,273,290,070,
772,138,634,850,090,991,908,762,704,666,666,724,748,860,840,133,028,540,875,
043,654,062,265,748,047,628,711,865,207,168,267,046,287,364,014,552,733,336,
387,342,272,016,927,218,781,049,742,989,676,475,722,657,925,256,101,600,093,
996,799,635,810,372,996,673,956,264,451,481,031,063,153,791,305,150,325,401,
784,519,041,219,399,067,135,206,168,357,935,327,306,813,525,254,919,644,076,
236,349,061,334,668,209,336,376,477,097,299,258,686,199,403,633,041,909,497,
098,338,155,077,582,686,543,098,289,816,409,609,793,343,351,506,755,780,920,
164,296,185,529,861,506,964,502,152,975,505,525,422,469,996,168,902,146,292,
229,252,937,281,642,190,190,812,011,002,978,056,490,145,285,272,623,098,811,
467,788,618,712,480,810,629,106,682,035,707,519,334,359,571,543,302,092,802,
134,330,108,504,783,991,827,013,272,059,689,645,649,403,009,274,292,499,320,
627,664,750,137,742,066,039,361,257,773,108,218,363,736,693,042,807,655,185,
290,855,827,983,603,384,930,773,917,535,963,844,348,470,464,916,061,568,819,
597,106,345,535,308,551,827,743,086,831,951,672,751,810,815,891,792,666,059,
083,063,061,607,393,488,149,066,030,932,557,269,132,792,410,441,599,459,287,
689,037,681,093,440,792,358,145,953,247,532,096,711,665,834,672,153,043,986,
382,511,766,880,102,177,939,221,499,659,723,102,523,126,165,586,036,775,058,
884,599,257,587,570,476,036,750,484,846,452,086,528,616,487,493,918,718,251,
045,247,817,877,835,223,069,630,428,871,333,115,979,698,215,594,097,798,576,
504,471,274,086,338,510,181,641,844,031,105,150,395,666,263,155,589,144,268,
772,956,874,075,998,128,099,196,340,062,524,396,851,729,614,344,745,517,317,
433,881,798,854,325,429,616,754,779,058,010,688,955,713,659,354,635,632,402,
654,011,235,151,910,055,566,272,147,024,403,216,136,609,060,298,689,813,222,
351,389,774,150,371,860,843,388,789,930,327,443,455,180,503,219,041,100,040,
996,683,293,423,371,382,820,903,595,988,665,620,736,379,806,966,299,487,410,
878,493,930,049,577,654,706,249,719,246,546,393,559,403,785,282,093,304,676,
677,918,419,311,139,528,626,451,186,128,851,560,550,471,082,315,191,703,853,
157,035,320,187,545,273,064,253,832,141,711,136,353,408,060,799,506,724,521,
801,748,357,922,940,827,406,949,658,038,514,025,541,637,779,139,006,811,086,
800,237,594,419,788,886,678,214,686,603,774,557,462,109,888,515,882,438,391,
967,234,062,724,554,766,715,337,390,605,966,768,751,256,963,737,911,890,489,
889,597,803,477,076,541,319,415,911,888,635,504,430,909,875,184,647,409,436,
228,125,538,600,535,665,021,032,818,575,154,457,480,168,955,673,929,612,792,
600,897,839,399,003,817,039,006,640,198,910,485,438,398,531,409,084,409,744,
411,436,278,717,829,702,237,300,448,254,597,003,898,241,712,751,891,104,594,
212,253,015,965,577,375,802,726,581,995,437,771,380,776,150,217,551,774,372,
143,044,602,787,285,347,967,374,102,419,241,263,708,618,881,480,468,487,738,
775,740,567,959,275,660,411,971,758,238,806,609,841,178,115,511,895,703,059,
202,233,712,417,555,093,722,886,623,727,696,320,048,432,132,634,625,261,426,
647,916,902,644,177,392,043,908,523,950,923,031,580,360,636,394,093,597,738,
594,673,864,802,711,433,536,113,541,224,963,378,891,769,090,348,201,705,382,
896,753,998,174,014,949,838,332,939,482,450,540,260,892,751,643,856,904,195,
281,850,846,827,926,042,343,809,822,565,253,207,104,559,937,313,254,720,141,
006,213,027,730,164,777,178,866,369,581,578,156,261,457,494,194,071,230,477,
315,488,874,246,181,902,387,324,098,286,059,568,621,604,587,664,332,111,601,
843,613,625,999,837,031,556,675,047,458,496,756,960,379,911,303,002,028,953,
401,419,538,059,858,131,207,086,717,494,199,747,486,112,884,018,731,467,788,
723,096,610,218,457,382,658,444,296,084,745,768,769,774,785,394,141,819,796,
712,806,953,356,015,173,817,703,999,576,469,327,573,877,498,044,663,317,796,
900,232,198,833,620,528,402,040,333,091,475,426,431,963,162,515,478,323,142,
303,559,769,307,046,362,738,995,640,446,885,604,980,343,090,803,304,759,777,
552,601,658,447,093,243,601,957,069,023,065,183,338,743,137,582,850,764,791,
931,772,714,774,704,298,258,848,138,935,232,512,829,807,134,320,116,406,128,
537,196,448,516,734,346,660,178,286,107,145,058,803,553,977,897,472,352,752,
359,065,287,410,521,114,095,156,764,496,011,028,134,191,477,957,517,177,778,
968,793,762,130,476,984,354,801,639,200,859,608,106,732,497,517,488,453,336,
147,893,017,714,363,078,927,176,955,093,964,836,112,137,135,583,800,317,078,
386,380,592,002,157,121,745,827,476,987,114,501,172,616,804,461,154,016,541,
706,968,690,452,250,456,942,944,529,645,437,382,863,674,992,567,514,861,485,
233,632,119,571,268,141,125,815,142,157,703,675,700,693,348,524,080,624,574,
407,170,902,788,396,271,448,449,202,389,603,802,381,704,486,073,721,361,650,
185,417,891,119,086,023,066,007,670,451,496,455,879,341,639,696,302,314,473,
764,397,950,460,887,910,204,011,700,515,946,572,188,456,199,948,686,483,132,
486,020,134,234,316,077,662,888,422,961,752,421,714,059,003,999,493,130,267,
328,539,890,194,142,112,193,072,178,780,377,409,580,969,080,072,846,904,998,
372,301,307,560,246,372,036,228,109,983,235,220,700,045,155,552,440,708,373,
927,935,689,942,507,016,183,000,969,796,389,127,987,664,634,448,380,053,679,
297,912,920,858,605,144,697,148,535,388,307,880,113,903,736,422,430,877,732,
648,847,208,172,703,854,800,862,525,837,160,732,290,703,968,446,914,446,220,
299,412,747,858,783,255,092,386,531,215,411,796,263,810,080,195,406,641,276,
280,789,926,747,765,237,333,544,118,238,239,252,798,427,848,853,693,499,607,
771,658,545,793,263,571,505,707,584,000,104,748,657,005,057,683,036,593,508,
121,902,897,254,096,222,158,784,161,747,541,441,239,429,475,262,863,697,856,
637,617,852,471,766,609,563,326,573,556,841,107,904,821,774,621,089,938,531,
000,753,900,672,700,303,124,542,640,577,352,686,579,924,764,599,326,269,287,
344,116,626,490,552,573,854,083,693,399,596,423,249,076,842,978,246,121,623,
584,643,226,239,285,637,859,438,178,382,121,301,071,440,383,838,974,858,789,
389,648,377,999,823,130,361,323,392,820,722,673,736,397,385,349,761,238,816,
471,198,415,891,203,139,820,414,911,533,266,224,482,526,810,477,858,781,551,
296,410,132,356,659,653,360,084,700,794,965,422,101,635,498,719,167,912,776,
342,099,466,413,230,160,581,203,082,819,742,143,996,170,531,839,829,527,558,
840,869,317,652,546,329,233,684,973,961,333,038,233,658,862,011,649,516,856,
094,688,504,090,956,830,609,481,554,310,947,144,234,472,029,828,905,013,193,
308,681,871,662,306,208,094,309,911,173,386,925,299,909,954,858,446,256,483,
247,674,061,919,125,000,404,187,682,297,871,703,083,644,435,401,100,516,426,
520,523,177,890,543,298,439,201,006,997,788,830,727,873,630,223,458,756,531,
018,990,242,864,053,365,807,910,907,416,108,798,778,902,655,756,936,050,370,
118,409,139,925,091,887,833,426,500,489,075,279,971,564,430,339,663,684,200,
406,251,523,409,005,137,082,920,787,419,961,154,966,249,338,328,047,442,759,
472,440,553,688,054,678,531,210,543,634,341,169,794,024,514,274,988,135,844,
727,012,028,768,532,612,084,892,495,270,962,614,003,079,484,773,923,756,990,
566,524,127,744,217,854,683,335,732,427,532,595,693,134,172,640,468,256,588,
851,646,796,511,289,146,223,533,773,808,103,193,970,685,914,614,852,885,926,
955,570,489,870,143,484,209,757,756,210,131,535,175,263,692,961,484,312,267,
820,756,360,768,892,732,041,725,301,446,899,496,845,980,409,638,730,331,397,
131,000,792,721,337,976,573,899,364,655,847,602,426,339,867,273,982,760,919,
369,631,668,154,709,723,742,449,072,804,425,649,643,535,761,287,022,116,892,
203,716,801,277,879,251,458,316,418,408,259,523,439,181,222,292,025,918,142,
935,328,733,751,588,870,110,143,756,698,778,852,624,517,597,759,423,752,560,
670,093,279,927,270,076,464,020,711,879,441,179,606,386,911,989,341,377,563,
243,761,571,924,069,324,583,098,859,502,928,669,251,313,400,620,449,041,854,
330,008,445,494,221,950,491,346,602,798,787,180,276,798,941,883,552,628,109,
066,180,789,494,103,547,840,137,671,748,114,106,967,774,049,602,016,457,531,
724,005,396,500,241,490,230,199,731,280,649,178,112,022,113,038,636,477,512,
613,950,149,566,845,868,722,941,649,026,631,525,470,320,982,860,995,675,628,
229,504,080,133,920,403,373,842,378,351,156,456,713,873,560,689,850,411,004,
233,784,073,449,437,572,966,406,986,910,731,729,403,998,572,359,862,122,849,
123,025,761,437,294,383,241,407,309,823,579,824,976,932,426,478,348,670,762,
905,102,604,934,581,990,772,524,901,773,314,596,802,553,699,453,037,574,765,
908,765,246,895,330,395,735,663,241,472,208,819,537,994,221,535,328,275,703,
155,438,631,742,699,809,657,188,494,377,720,903,885,772,858,781,827,972,009,
066,969,306,888,562,385,375,169,800,489,922,461,494,114,351,901,854,492,435,
184,129,779,119,240,041,905,873,223,284,475,079,567,676,410,452,369,206,294,
103,382,805,618,820,081,223,185,855,359,619,991,510,215,230,370,942,542,790,
313,765,673,407,781,976,803,042,537,435,142,536,349,535,547,549,049,079,273,
843,978,091,425,050,001,965,716,348,182,185,918,072,776,280,454,039,619,044,
800,687,904,478,822,083,233,270,733,854,612,879,824,302,605,129,679,708,469,
931,592,842,846,148,507,766,507,169,282,125,930,947,728,437,580,912,905,161,
300,457,225,686,066,012,264,886,519,765,226,247,976,321,982,574,965,344,755,
959,810,884,292,829,581,659,968,339,401,769,853,083,049,217,017,714,348,702,
986,197,483,303,976,686,283,590,903,556,832,306,219,937,916,872,541,760,654,
314,717,798,350,130,507,569,579,654,836,269,874,406,634,050,671,789,335,596,
128,407,295,044,736,695,129,433,868,546,683,608,428,699,395,008,671,471,228,
257,751,021,849,888,739,402,083,315,767,106,478,810,042,679,531,607,368,016,
215,503,603,140,079,664,963,414,504,594,801,789,911,650,718,620,488,819,036,
598,637,114,241,536,587,049,666,516,631,114,207,080,706,333,166,623,419,817,
895,762,376,744,014,489,013,035,585,327,225,350,919,408,108,277,280,251,533,
953,169,570,870,932,469,993,702,091,603,704,981,788,066,166,488,595,313,168,
254,249,428,631,162,108,380,872,097,577,212,625,384,523,185,331,165,211,937,
416,965,349,116,864,856,743,141,578,808,716,114,577,529,235,606,483,490,555,
358,191,658,603,562,958,105,093,945,844,946,251,570,426,089,689,791,285,402,
948,637,379,740,630,434,730,118,893,348,027,275,244,844,012,779,744,571,514,
114,175,084,202,674,277,898,820,699,885,719,039,347,350,719,072,927,500,962,
411,049,037,410,927,004,784,498,704,655,392,819,557,566,868,594,838,149,320,
215,520,014,676,040,727,010,554,503,841,525,498,333,606,444,551,961,441,732,
894,728,942,623,801,448,996,059,874,005,760,028,699,078,980,988,138,085,043,
923,349,281,457,880,445,032,169,480,581,489,098,749,727,933,254,486,882,548,
689,091,165,938,223,057,821,452,467,505,262,588,111,095,382,720,741,078,514,
485,713,199,826,052,998,848,338,653,444,886,061,336,900,126,990,689,039,122,
145,890,789,852,450,317,045,725,845,249,198,018,741,345,118,069,798,601,020,
645,633,471,133,769,424,376,029,378,422,117,108,712,265,222,095,043,780,872,
441,812,841,857,284,823,556,259,310,672,666,041,192,439,018,641,970,429,770,
062,243,294,382,395,377,105,663,428,692,237,575,089,395,754,329,607,499,123,
620,910,873,333,046,474,217,209,315,966,757,033,943,319,850,177,486,674,409,
308,775,767,917,205,086,840,522,759,515,766,689,677,437,323,892,337,760,198,
887,848,083,701,533,009,050,831,765,122,012,478,153,760,274,214,829,347,407,
187,748,208,641,854,562,944,523,700,686,103,723,397,043,438,456,140,205,538,
739,055,752,661,710,364,718,197,741,484,770,350,494,754,587,655,212,576,211,
266,114,500,784,302,413,969,927,109,253,425,503,720,053,811,884,266,637,800,
867,943,486,029,994,869,137,977,105,719,210,142,599,374,852,284,666,507,927,
740,023,307,865,001,749,426,982,041,647,386,904,833,120,224,338,042,724,800,
105,753,518,553,894,985,200,196,125,936,480,331,916,767,071,650,444,205,614,
032,005,717,726,076,016,776,782,976,019,630,676,802,551,540,073,778,342,747,
685,293,192,929,776,322,444,323,929,164,950,855,128,067,261,438,722,097,653,
553,221,810,434,698,938,366,321,247,067,939,662,977,662,509,193,403,943,065,
550,166,184,230,162,536,745,619,708,545,070,548,951,322,065,472,586,632,869,
321,383,544,230,229,805,041,913,779,076,570,568,150,547,901,932,861,912,227,
748,493,628,922,081,180,293,041,592,269,044,604,936,804,148,342,040,130,038,
984,614,682,686,856,640,674,455,687,399,606,177,807,433,376,836,763,842,037,
563,388,100,083,587,330,277,576,543,385,009,753,170,006,758,494,664,576,192,
905,187,457,181,692,927,418,625,923,111,442,714,936,933,353,476,412,987,959,
458,496,027,444,420,084,726,427,629,695,247,397,314,169,647,924,611,742,727,
216,056,771,499,913,847,599,084,602,513,068,645,866,411,700,348,203,943,972,
137,497,582,641,359,787,412,286,365,017,038,919,894,903,415,211,937,106,651,
003,408,519,420,823,692,678,517,332,103,787,622,874,098,174,891,090,792,457,
116,550,386,053,815,840,101,330,764,657,702,507,092,017,048,141,334,412,884,
834,364,329,208,385,935,576,567,791,824,317,555,003,876,322,770,456,109,768,
338,212,758,351,203,572,517,666,564,094,675,525,801,730,138,482,703,365,425,
010,568,906,955,106,479,658,974,830,717,152,062,435,543,338,331,285,022,063,
056,846,540,518,826,813,189,614,175,268,962,399,469,633,266,784,223,891,638,
319,698,558,407,935,251,965,937,580,662,036,060,869,075,018,926,817,831,951,
375,100,922,689,346,070,379,344,993,127,471,207,986,731,506,515,748,144,052,
926,306,288,973,804,795,865,060,040,662,139,465,549,726,238,434,366,754,225,
405,738,415,411,779,531,603,560,377,469,130,181,814,873,753,283,223,938,128,
660,363,842,672,926,973,408,556,908,140,049,198,814,383,028,708,231,734,776,
891,770,780,424,925,324,877,538,778,826,247,595,964,047,882,902,134,153,281,
208,489,926,813,399,959,666,158,644,757,874,740,254,875,940,913,833,119,625,
517,107,285,569,920,585,425,695,410,302,928,828,725,728,411,799,461,730,464,
110,320,143,325,679,465,650,300,246,953,967,667,327,399,905,728,362,812,781,
581,244,747,073,537,723,569,846,522,596,292,893,740,075,991,469,899,176,801,
133,419,848,186,937,687,172,115,460,429,726,729,880,054,124,039,593,782,481,
750,152,425,974,643,396,637,598,440,138,416,888,080,633,584,766,238,621,573,
415,313,367,393,861,813,861,887,502,529,314,930,060,309,889,543,372,177,746,
303,968,512,164,235,114,299,857,330,185,376,001,689,224,119,290,921,688,976,
388,059,615,831,415,026,993,248,080,934,216,960,418,862,120,437,225,880,737,
866,337,624,384,222,834,918,743,587,273,895,680,893,669,036,631,356,856,927,
077,070,798,269,618,792,715,686,123,921,343,013,971,848,972,329,986,023,478,
960,503,843,843,656,209,621,231,371,261,583,560,438,583,256,729,156,177,231,
884,928,236,318,884,686,119,146,044,267,889,146,178,517,975,214,845,750,589,
506,966,384,975,414,733,978,756,422,966,320,037,274,964,877,444,671,749,155,
341,089,577,513,139,928,240,141,459,912,036,227,633,120,190,639,021,529,372,
597,287,443,634,301,212,670,529,668,799,984,537,330,911,254,255,947,178,058,
093,786,593,119,490,115,277,369,107,860,257,346,300,322,137,577,982,459,646,
651,388,955,413,047,358,993,569,182,505,297,633,682,426,980,296,078,452,439,
498,781,234,480,126,371,861,640,739,128,449,995,545,148,947,370,617,230,610,
425,844,268,878,853,663,692,950,632,616,118,701,258,291,349,001,650,209,610,
707,722,882,651,078,740,176,343,216,810,297,299,724,893,394,873,642,979,613,
598,799,342,486,988,059,591,076,910,190,934,512,104,759,091,007,916,431,892,
930,727,420,334,701,894,231,558,395,937,617,422,611,301,794,223,021,588,771,
053,682,844,531,462,638,239,702,805,553,461,508,158,990,484,641,604,466,044,
380,299,324,776,716,998,610,605,657,668,734,846,517,254,402,841,543,281,135,
450,259,887,005,384,136,618,699,107,905,660,074,631,123,430,043,100,433,879,
701,524,871,516,846,265,784,349,958,985,726,407,803,115,722,113,402,453,491,
402,040,150,707,352,479,771,398,764,006,372,748,617,323,093,679,052,770,572,
083,034,717,938,900,806,891,435,154,679,835,132,674,499,943,828,880,524,474,
672,656,811,540,556,544,637,327,424,607,514,883,057,786,723,183,485,596,362,
552,966,808,906,988,389,519,487,710,448,215,967,638,376,805,325,699,751,680,
921,974,417,940,297,109,994,361,082,925,678,789,184,190,451,718,750,396,834,
907,882,501,451,212,093,036,915,128,362,664,241,906,969,540,065,541,463,703,
311,381,299,780,794,334,616,110,631,315,635,262,001,733,079,091,838,581,474,
254,683,015,619,501,598,309,810,065,969,757,411,242,865,754,445,021,130,358,
875,913,427,871,652,612,767,527,154,483,018,134,721,038,931,105,949,970,399,
232,290,189,417,239,306,348,176,568,053,034,965,866,011,510,975,674,762,727,
189,288,778,106,232,990,168,198,522,302,797,377,056,960,503,616,027,966,267,
831,158,093,104,728,924,400,585,340,544,110,431,475,549,697,564,025,439,889,
208,221,390,933,174,109,122,256,761,009,365,628,361,327,437,642,220,500,788,
568,833,535,023,354,103,091,299,739,189,087,208,162,874,985,950,656,878,700,
873,205,840,608,080,787,691,396,336,852,438,504,521,958,722,026,050,616,781,
844,215,509,082,099,804,503,121,441,771,105,942,013,791,246,379,878,993,916,
519,906,327,395,996,529,010,166,144,255,541,070,791,131,897,463,080,572,067,
402,377,616,233,962,535,227,317,429,111,290,074,133,636,000,834,589,500,298,
494,121,285,611,050,965,293,915,971,286,707,577,280,780,353,849,337,520,496,
187,137,549,540,078,428,668,098,235,195,651,363,438,701,764,396,880,805,520,
181,234,341,088,416,720,843,879,023,163,051,049,041,194,436,812,485,020,104,
994,787,783,197,171,936,132,557,846,405,033,609,087,657,539,605,056,925,657,
017,431,712,567,514,361,392,503,467,213,552,426,313,390,619,495,876,820,959,
910,032,182,462,411,433,820,180,701,746,140,148,663,456,943,082,029,546,360,
019,842,524,551,576,829,461,341,810,726,696,862,881,607,386,879,357,887,373,
347,376,543,214,776,603,061,627,167,204,555,817,188,284,520,939,932,666,048,
475,199,770,131,475,772,975,210,065,483,411,727,398,152,664,982,481,808,340,
838,518,058,432,495,900,474,594,956,854,879,333,542,954,371,131,352,315,739,
637,682,230,164,581,459,628,159,321,980,282,500,506,621,382,107,993,696,813,
856,926,666,309,654,258,811,665,011,300,418,162,773,922,833,570,045,767,171,
218,558,475,276,607,683,113,680,909,554,163,790,085,714,591,430,538,122,987,
629,234,410,035,601,411,608,974,780,932,438,438,652,387,270,739,724,892,604,
030,273,797,267,207,924,219,865,801,390,997,738,225,515,710,349,005,432,025,
888,266,896,543,429,536,635,774,312,530,454,161,656,775,512,817,066,208,755,
958,472,571,526,201,443,302,506,890,610,981,188,039,406,367,939,811,279,267,
053,711,255,845,038,169,131,545,888,213,302,655,275,056,188,434,640,031,394,
246,341,731,373,455,947,441,654,772,935,232,633,480,591,009,216,233,490,898,
265,444,134,740,014,536,893,442,976,561,870,176,597,126,415,948,356,982,551,
176,182,285,336,530,232,953,581,842,838,830,284,150,572,073,563,583,707,336,
394,956,776,732,610,502,194,735,821,748,220,694,080,842,684,724,180,820,403,
424,104,695,830,796,504,979,680,182,518,109,159,672,635,201,711,395,910,029,
481,982,066,617,329,231,050,403,598,617,076,096,891,049,502,413,609,725,100,
778,570,898,647,705,705,575,175,607,162,860,699,206,276,139,666,744,994,838,
963,158,880,995,154,291,988,517,544,611,648,804,021,680,939,206,852,012,633,
098,947,019,498,554,033,283,301,111,642,311,461,251,973,066,823,962,222,203,
807,578,399,608,253,195,370,430,100,308,956,404,730,357,332,520,887,395,100,
314,278,276,019,738,065,422,824,547,181,886,069,964,282,719,616,641,864,802,
856,200,045,058,328,614,153,045,625,270,559,336,182,996,650,072,529,675,924,
556,915,388,744,671,199,088,863,508,386,529,386,996,160,064,555,603,368,777,
467,301,719,683,724,218,855,541,817,120,615,002,060,689,940,096,835,873,185,
132,375,055,726,445,688,691,052,861,798,345,257,516,269,356,039,213,189,848,
829,833,485,915,570,153,225,871,968,635,906,238,496,406,954,215,021,445,772,
114,781,429,241,793,108,025,654,987,589,633,180,343,936,463,711,636,225,731,
302,197,354,709,788,692,561,516,674,446,133,407,823,036,892,281,821,746,413,
461,033,843,187,738,731,657,309,666,036,884,865,363,100,031,076,501,377,930,
553,171,918,979,537,670,084,041,425,397,955,793,649,837,415,853,052,723,265,
960,745,427,601,143,450,534,778,978,115,465,763,942,208,123,694,246,279,568,
266,998,342,631,939,446,257,374,615,787,412,316,969,570,028,135,932,308,720,
850,320,878,835,783,243,507,592,986,891,423,602,392,177,525,456,878,277,010,
162,304,313,600,638,840,982,764,872,734,368,345,341,568,939,123,413,613,374,
045,358,080,236,745,770,552,124,512,902,900,620,439,297,864,402,346,420,230,
216,689,265,763,984,783,038,513,761,418,726,628,500,000,361,049,960,081,824,
558,565,116,311,464,348,373,511,254,441,613,819,387,536,156,748,811,598,488,
860,314,976,023,709,141,417,543,352,890,444,108,446,030,189,295,030,400,635,
139,973,489,328,525,494,678,595,234,989,271,962,408,544,690,255,521,642,361,
251,567,586,816,301,802,601,470,564,250,031,553,908,029,901,541,430,989,619,
864,063,009,284,589,207,715,786,939,367,825,999,873,548,741,482,561,627,273,
947,523,542,476,973,712,332,549,623,468,038,937,688,234,370,032,408,207,072,
086,739,288,276,087,251,256,538,497,190,336,741,182,973,759,114,947,605,502,
816,409,093,560,016,594,747,458,058,675,223,058,887,436,623,999,197,116,632,
746,375,521,892,941,340,938,142,362,590,662,695,440,232,216,428,555,202,889,
130,016,189,984,256,478,821,738,952,347,200,928,914,871,126,848,689,425,577,
695,503,218,535,846,251,526,747,048,217,968,852,975,903,531,004,521,181,728,
581,618,823,080,408,625,992,452,132,502,825,179,955,709,058,244,574,388,843,
358,651,952,321,891,151,081,452,546,864,418,282,539,058,605,831,481,808,100,
637,400,420,971,704,558,506,909,022,833,991,790,768,222,072,657,238,817,533,
726,119,112,788,050,440,243,067,502,363,470,355,160,445,768,636,417,609,872,
639,968,217,745,954,187,050,855,754,415,004,362,981,940,089,689,003,671,193,
550,412,373,729,767,975,381,171,223,893,908,397,420,917,606,577,042,123,443,
858,789,741,892,429,904,927,209,240,947,883,913,842,904,942,805,705,903,739,
086,077,079,991,736,788,574,002,866,025,030,156,555,638,107,802,049,305,257,
374,183,018,877,795,342,518,556,429,967,287,086,072,147,826,559,018,009,433,
472,857,008,735,898,044,239,637,444,768,563,947,668,203,196,772,525,252,692,
080,434,687,843,181,232,871,375,443,113,963,458,875,582,282,282,982,909,339,
329,635,304,892,415,351,348,821,580,932,324,027,078,062,484,249,263,487,468,
509,219,293,591,845,856,966,540,514,977,769,639,157,790,210,361,204,054,902,
172,341,326,150,624,240,215,215,642,161,138,808,732,373,551,411,070,114,566,
457,516,816,756,141,768,750,312,340,144,618,539,038,468,067,718,499,128,176,
629,106,870,612,442,210,018,022,412,017,381,770,653,548,856,211,427,256,059,
204,308,589,738,577,235,908,753,268,017,342,124,302,589,338,536,682,250,424,
893,921,479,822,787,369,458,970,158,315,099,586,774,236,358,873,594,766,203,
028,699,887,293,317,609,716,253,857,800,028,518,489,973,185,331,685,706,369,
424,040,028,897,601,779,595,998,461,638,572,209,534,860,815,359,842,918,468,
329,944,383,964,086,052,258,599,130,529,862,498,888,824,068,269,566,273,033,
063,317,534,200,533,420,469,002,759,868,719,118,596,852,227,512,689,719,617,
299,854,393,436,148,955,592,838,264,366,770,292,696,476,341,630,218,744,459,
934,467,824,988,765,410,105,152,471,682,859,816,906,472,529,674,521,237,744,
267,961,671,809,416,444,707,244,604,786,080,311,196,745,308,178,906,327,896,
911,388,895,282,330,655,571,803,302,126,650,263,615,799,181,811,931,107,748,
978,279,146,478,774,830,918,841,833,146,577,509,823,864,178,152,954,817,576,
158,775,737,643,230,632,527,095,684,856,830,349,926,476,200,852,565,124,685,
127,213,731,721,472,472,120,987,099,229,505,020,120,438,101,739,135,020,355,
836,447,632,048,774,075,061,353,379,809,583,282,182,205,384,751,366,570,951,
994,977,391,430,079,356,031,331,528,125,736,185,948,931,174,816,419,276,171,
722,941,764,161,428,289,049,504,173,951,130,259,210,736,714,492,836,318,391,
155,264,161,101,957,034,277,312,361,342,796,730,574,250,198,878,273,464,965,
936,550,039,192,934,212,289,399,248,692,167,220,675,261,889,807,451,005,120,
230,884,506,751,799,155,205,084,009,324,809,078,499,404,062,440,780,993,631,
715,231,330,187,606,651,941,480,141,875,393,325,733,930,739,004,373,076,323,
635,176,259,494,578,920,427,563,781,652,205,985,843,963,041,411,766,816,014,
797,455,537,504,224,514,797,718,466,661,274,222,303,331,698,679,453,449,848,
954,522,346,109,356,559,542,839,053,889,174,274,159,922,784,102,138,502,013,
322,770,617,140,171,438,338,707,963,209,084,356,930,877,631,317,658,207,425,
397,551,108,080,428,021,471,295,920,547,755,368,843,118,999,042,546,622,289,
304,844,822,232,315,167,425,727,746,044,313,193,748,729,455,462,679,453,599,
742,369,495,372,548,030,666,993,582,666,240,652,288,689,892,002,709,575,989,
955,312,494,261,248,144,284,723,385,357,125,183,930,376,727,522,407,959,393,
682,832,973,050,391,794,442,991,467,058,809,270,857,280,819,000,191,179,088,
308,197,316,084,784,482,337,465,503,102,906,117,943,678,824,378,643,154,525,
440,033,249,580,928,930,528,016,968,315,067,366,644,025,581,184,498,483,374,
889,846,010,121,007,104,212,642,790,934,651,822,108,198,996,305,128,231,595,
815,863,433,678,167,131,986,481,113,976,664,765,015,413,652,328,193,593,595,
128,174,841,172,198,055,864,216,946,044,557,128,544,884,096,214,151,723,008,
617,340,846,693,450,867,050,288,957,377,715,873,070,275,424,529,078,718,675,
266,360,090,789,670,794,515,626,080,967,441,467,974,590,119,541,023,793,011,
524,583,108,745,677,145,314,578,981,081,374,575,458,557,876,489,645,772,882,
138,136,479,472,074,247,255,234,201,442,683,108,597,016,547,242,209,517,676,
737,213,455,896,980,310,772,540,295,323,872,121,521,394,161,304,011,652,680,
239,255,230,797,654,944,638,377,779,612,735,066,825,656,046,922,456,201,481,
645,145,783,669,302,625,326,732,622,057,468,497,761,998,541,943,534,148,819,
369,131,043,036,017,328,713,722,417,697,295,798,745,920,953,426,542,022,678,
998,608,115,469,970,620,569,201,574,874,160,709,388,655,279,183,645,646,696,
179,602,143,993,630,870,485,268,803,432,630,946,007,432,412,780,250,391,568,
941,713,981,502,681,070,335,137,370,784,043,875,669,906,811,725,262,355,949,
085,447,172,659,480,873,931,618,995,206,557,069,178,474,607,294,956,186,019,
102,519,420,021,149,621,664,076,168,085,479,319,532,840,980,327,091,642,606,
211,439,487,051,518,240,193,350,447,733,044,934,099,784,233,044,240,972,603,
279,663,061,808,083,873,947,580,583,328,278,100,806,007,378,138,612,418,511,
819,243,960,677,945,740,653,566,019,588,564,957,019,726,196,412,330,511,241,
834,521,881,538,961,404,331,560,982,332,688,362,216,504,765,902,534,515,241,
640,778,449,514,010,066,219,382,114,505,978,859,636,358,652,856,236,510,440,
579,194,209,077,960,534,600,470,404,119,933,094,022,833,790,041,946,437,618,
243,700,968,751,345,082,489,295,766,153,309,451,584,840,614,742,439,232,314,
231,249,906,253,711,105,335,096,913,901,003,086,451,143,747,808,875,659,893,
839,467,432,214,733,612,986,163,717,760,716,932,688,983,756,945,535,393,295,
808,105,472,268,567,428,417,675,113,670,254,414,017,554,560,259,869,644,300,
647,482,830,308,033,480,980,078,744,672,887,786,077,717,593,437,499,663,389,
056,971,525,686,361,311,150,464,023,544,668,031,484,508,673,228,519,844,621,
247,513,178,654,306,568,190,919,364,607,933,073,220,115,568,466,900,933,400,
892,335,611,840,229,027,585,588,766,928,559,041,080,081,394,918,186,293,540,
433,029,924,971,948,536,330,003,662,917,844,762,174,472,316,488,952,555,310,
089,633,899,904,607,139,935,789,063,414,908,249,651,070,910,631,453,323,321,
727,822,883,328,730,327,198,222,449,871,620,054,464,153,006,602,712,615,352,
844,206,896,717,918,599,885,957,505,831,495,494,006,624,258,438,652,743,182,
264,934,626,298,143,777,360,337,028,948,059,912,396,753,689,150,896,202,064,
324,923,199,041,594,020,175,690,043,330,294,145,647,216,038,419,039,169,266,
616,626,691,269,986,638,218,867,587,784,934,194,825,165,116,056,534,114,905,
174,923,747,250,420,695,385,653,188,211,239,488,423,095,142,433,109,330,637,
096,658,321,638,947,073,906,735,022,272,351,106,654,226,674,257,449,040,778,
301,149,973,534,370,208,288,412,580,771,374,033,846,464,106,560,135,961,058,
213,527,754,480,154,294,827,278,324,298,289,370,288,816,477,251,421,108,381,
904,254,681,415,739,341,578,448,108,360,259,386,006,601,866,628,095,763,433,
592,989,236,925,375,636,962,031,457,098,501,097,580,936,141,102,411,835,413,
036,047,076,751,648,001,703,385,110,073,765,550,329,102,878,115,599,528,205,
240,626,686,705,526,862,343,858,404,314,455,132,722,020,505,928,233,191,663,
312,560,014,429,008,081,230,576,427,446,058,994,655,955,101,326,203,522,589,
505,992,686,040,311,443,896,126,097,891,258,604,608,564,942,437,334,967,710,
612,484,855,736,438,337,499,852,817,619,973,064,065,978,342,747,397,305,809,
807,611,029,661,973,787,654,019,200,786,592,811,436,200,815,404,539,796,386,
378,753,811,705,751,173,970,558,417,418,936,618,049,303,273,693,347,272,521,
636,143,459,914,539,526,964,658,142,627,735,859,222,402,675,145,192,922,826,
875,900,065,214,438,587,529,718,748,029,157,367,299,419,682,078,741,005,601,
150,478,909,920,873,284,141,629,024,257,165,364,861,278,969,661,873,617,630,
253,752,380,767,129,721,202,158,561,615,545,548,136,067,861,936,512,131,798,
254,044,640,721,118,632,386,340,930,527,937,458,938,302,014,818,472,086,792,
576,997,905,931,876,676,051,160,052,651,261,722,729,457,034,381,241,229,932,
467,067,982,828,369,295,514,556,780,307,185,400,404,017,965,231,410,900,961,
509,617,306,273,615,744,706,806,224,327,544,428,923,661,127,591,755,766,958,
428,847,403,113,950,803,403,936,262,471,359,096,606,333,192,572,449,614,275,
105,600,250,185,660,144,398,641,817,025,931,941,405,134,856,328,257,827,107,
080,331,557,901,054,604,839,260,419,220,051,458,302,627,803,427,623,219,643,
843,166,316,381,037,015,885,293,547,951,106,225,091,689,316,679,689,895,769,
690,823,833,248,054,800,963,778,409,835,743,734,181,261,259,200,002,646,473,
387,503,646,358,322,413,704,588,053,286,695,179,980,815,193,149,642,919,013,
048,229,684,192,351,774,776,232,715,609,037,827,278,501,266,950,755,695,764,
839,232,491,921,534,838,414,021,203,671,128,238,087,632,717,805,250,465,134,
766,867,070,344,505,248,297,137,049,986,263,931,042,831,908,665,205,114,465,
793,131,262,412,077,531,366,758,484,959,545,300,686,182,902,150,496,479,379,
785,048,925,577,555,697,823,226,765,147,742,246,313,013,516,040,027,470,094,
636,918,732,173,397,851,109,885,826,798,487,141,446,600,859,008,027,108,380,
697,594,857,864,784,317,124,420,134,567,118,297,545,325,408,503,688,147,327,
479,363,892,767,686,941,104,228,211,758,132,379,419,976,787,028,488,268,423,
201,149,334,555,133,716,428,022,136,922,018,535,010,044,557,838,316,952,643,
475,004,233,349,999,910,222,113,395,153,064,509,514,720,417,612,875,310,732,
438,222,312,925,403,236,144,180,824,876,028,358,020,467,249,685,954,050,209,
139,617,613,164,799,666,947,236,234,765,920,117,204,105,093,317,159,651,554,
678,593,410,343,703,620,767,197,610,796,727,297,366,599,386,380,153,079,781,
462,185,055,050,674,151,767,800,392,221,156,870,004,155,017,679,488,108,099,
683,308,377,262,188,502,155,342,006,660,231,649,847,242,158,473,222,724,771,
663,373,920,416,983,043,451,331,551,036,057,655,076,233,471,669,556,736,079,
344,047,835,780,642,282,758,417,821,597,770,016,101,830,416,575,827,898,599,
237,588,576,407,348,843,646,559,724,638,403,050,654,680,833,192,801,720,707,
449,903,128,390,207,429,478,174,467,186,128,247,306,297,724,538,751,085,885,
976,624,738,713,136,264,059,272,181,165,248,608,897,092,903,563,091,593,023,
333,369,965,368,687,199,012,618,594,831,652,194,767,844,717,141,667,461,403,
794,930,528,765,458,720,595,319,181,598,616,909,986,060,290,283,106,472,533,
126,692,894,756,053,132,000,646,886,705,569,535,987,433,461,399,786,544,837,
363,177,153,041,491,689,264,021,360,342,149,529,636,749,292,128,331,116,766,
553,081,724,847,080,624,749,788,233,729,448,072,987,089,846,883,476,835,356,
415,245,891,354,842,838,497,267,069,761,816,145,594,764,553,098,911,095,106,
644,157,811,274,718,990,791,944,738,715,477,249,555,170,172,328,057,245,351,
726,271,016,209,369,055,317,833,042,916,103,546,755,803,355,939,762,215,335,
867,979,814,497,384,940,037,704,336,011,277,035,392,316,008,049,315,721,305,
699,362,336,312,858,751,410,813,054,461,726,972,491,586,973,048,345,540,556,
227,203,549,073,594,376,700,523,664,629,981,785,019,527,628,121,052,017,235,
716,528,696,822,663,058,191,960,721,098,195,058,540,650,818,422,534,920,766,
421,375,515,814,820,681,127,096,843,679,357,977,565,463,035,320,347,825,789,
814,959,119,511,565,339,858,274,811,436,462,846,223,286,282,682,561,912,416,
316,007,644,528,292,837,767,258,460,829,155,340,110,336,308,504,892,257,454,
062,561,882,015,695,788,045,181,045,782,306,424,472,608,368,958,973,893,707,
286,057,234,091,034,710,569,954,445,807,351,610,413,728,542,791,637,630,214,
116,721,101,119,205,510,345,362,142,096,485,008,055,948,338,205,949,102,564,
230,596,460,118,584,296,403,413,313,758,556,442,863,604,353,834,665,377,751,
476,170,270,205,628,130,237,439,265,507,943,357,458,409,876,925,831,760,334,
165,389,630,743,850,899,005,175,287,359,482,349,556,594,314,388,448,259,357,
517,368,766,183,837,719,829,641,989,368,101,794,410,663,741,056,974,816,888,
296,022,102,098,637,396,453,028,805,513,788,765,664,079,144,926,807,592,972,
314,547,473,151,513,912,644,096,212,589,848,312,702,466,684,874,315,653,707,
813,437,818,055,070,454,910,615,148,937,369,129,124,897,232,398,967,809,718,
241,714,236,584,327,950,902,931,622,658,108,952,117,680,975,225,153,365,401,
299,282,445,680,543,905,410,111,961,958,161,281,441,875,540,828,971,965,947,
175,112,334,061,721,857,463,260,050,160,908,044,492,154,957,710,852,852,870,
696,444,559,787,029,200,498,160,322,047,513,295,600,001,943,234,901,884,506,
204,056,071,739,262,095,972,990,776,560,142,917,110,028,525,374,125,568,171,
464,819,044,229,186,477,257,521,877,581,890,784,809,573,674,022,253,496,016,
508,753,077,847,486,540,147,150,548,468,690,552,308,095,952,268,315,646,718,
062,299,878,166,123,836,831,634,998,954,489,578,089,699,080,317,208,077,744,
905,311,734,605,655,577,294,460,729,725,649,657,610,161,179,093,747,052,963,
776,519,836,606,288,371,552,922,445,736,422,932,999,199,690,396,979,472,639,
062,038,201,750,225,479,468,606,461,182,798,044,127,806,330,831,562,754,976,
351,990,113,861,122,672,916,098,364,683,532,380,762,821,380,130,036,846,787,
653,485,106,003,606,057,104,851,623,236,762,193,869,274,392,903,215,747,538,
282,396,129,203,131,015,418,485,012,706,332,561,078,350,913,832,350,960,670,
447,737,238,513,891,229,001,984,309,561,610,512,107,323,699,977,130,075,972,
767,086,293,183,839,359,723,443,129,098,718,775,416,486,834,161,761,511,573,
966,587,704,962,171,895,027,691,371,513,467,733,445,814,802,879,066,013,618,
486,154,596,842,888,814,823,074,266,696,865,492,098,941,705,893,567,968,093,
283,184,816,913,205,062,421,323,713,595,594,033,284,374,390,729,923,231,461,
900,097,222,191,998,022,017,630,775,936,341,663,545,454,403,971,534,554,507,
314,370,218,125,009,481,271,225,649,851,615,472,366,333,783,290,417,985,452,
991,038,732,878,732,876,254,102,269,351,274,587,836,899,867,466,100,627,745,
182,043,504,763,809,235,833,936,116,572,263,422,511,672,411,079,280,331,390,
406,287,894,614,221,454,005,615,088,112,994,562,704,746,997,541,879,324,889,
384,355,987,884,585,292,226,726,304,631,282,628,940,427,817,540,337,181,307,
014,620,864,511,677,926,699,007,752,500,370,838,811,001,816,130,875,454,922,
362,870,674,399,420,403,467,762,238,850,350,251,759,439,083,147,623,120,600,
397,790,543,321,083,333,128,640,402,463,748,411,498,989,960,954,766,089,855,
350,825,166,949,949,191,262,177,909,990,185,888,232,779,911,316,697,908,798,
750,539,254,202,163,735,196,906,024,501,952,632,910,375,953,117,956,568,944,
857,806,426,288,066,095,111,586,113,955,995,023,578,002,929,163,727,279,805,
810,038,442,831,444,335,194,211,046,354,303,417,820,871,782,570,014,648,155,
048,624,182,192,004,019,740,723,859,598,908,558,784,301,994,813,919,052,703,
943,616,295,380,130,186,941,912,389,301,153,878,914,003,875,053,513,777,807,
654,903,035,498,624,243,015,578,369,113,724,427,205,759,209,101,275,244,533,
655,926,822,433,717,760,491,436,724,600,929,632,856,356,480,454,668,855,765,
765,303,548,594,576,421,800,917,802,771,711,051,281,719,702,721,542,508,325,
116,774,116,248,323,985,565,870,480,055,895,328,975,045,460,030,751,063,591,
472,988,134,114,862,008,654,329,802,579,710,875,087,769,850,812,663,476,740,
609,538,485,058,044,670,927,568,107,032,835,550,245,187,499,748,928,575,075,
854,009,335,660,165,010,995,327,582,700,340,062,480,840,086,276,055,670,708,
605,654,896,237,933,991,236,113,827,984,863,935,276,635,325,738,187,121,297,
535,192,656,819,316,383,041,279,553,226,311,746,806,252,947,656,385,197,786,
969,235,518,610,288,446,916,755,394,564,622,628,118,493,885,565,492,839,124,
175,081,503,145,191,301,666,555,909,717,972,627,417,269,770,230,699,438,297,
926,918,217,311,407,637,264,785,538,119,193,313,720,268,006,052,193,555,356,
870,239,937,207,110,721,436,514,666,412,242,671,886,120,607,391,912,152,331,
236,266,692,377,672,811,436,027,283,287,665,082,722,588,669,095,910,399,373,
412,769,117,186,156,690,533,702,906,933,805,835,623,555,917,602,712,096,173,
891,801,591,512,133,112,759,998,069,279,637,178,580,832,227,270,880,217,441,
425,167,797,853,707,513,273,008,547,465,181,871,768,803,389,568,703,560,658,
611,399,384,130,234,559,672,265,266,582,935,448,293,321,894,764,312,916,598,
970,312,876,447,871,537,519,917,509,159,312,209,027,517,534,311,727,273,286,
180,186,968,400,044,217,788,525,932,787,838,563,468,548,247,885,990,030,942,
449,808,220,895,887,436,855,233,726,750,161,171,988,846,943,652,279,326,012,
137,583,760,896,482,807,357,832,300,697,474,259,621,148,841,683,601,559,023,
118,838,108,769,330,040,475,505,443,788,650,976,880,852,016,089,072,489,591,
639,763,676,758,629,558,745,485,077,718,662,078,513,957,912,593,346,582,465,
436,831,591,810,819,114,496,420,528,095,952,639,135,228,541,917,574,962,617,
714,609,489,123,820,091,661,983,195,816,365,839,724,144,071,537,157,776,057,
925,323,929,614,681,839,028,328,864,783,985,225,358,496,356,772,109,566,485,
129,549,267,991,177,254,803,423,600,685,718,528,103,251,622,017,102,246,645,
492,174,356,738,579,784,501,099,633,951,102,472,818,284,452,661,226,263,881,
859,563,445,385,326,721,948,861,974,827,297,654,257,308,230,878,813,997,170,
633,958,880,653,866,943,713,295,789,975,781,927,603,090,318,194,808,476,687,
457,239,024,611,110,871,236,796,817,826,052,297,919,605,508,123,450,759,024,
491,429,919,866,205,929,259,794,285,041,221,718,976,356,841,441,577,146,125,
875,369,585,086,051,239,675,343,688,263,694,171,249,020,063,501,675,001,794,
872,670,855,357,803,092,380,668,856,555,517,302,891,197,887,915,484,529,528,
375,657,572,623,695,382,641,309,560,642,579,851,591,416,748,170,985,315,923,
490,881,038,675,311,023,859,883,194,484,042,271,978,806,350,856,143,767,273,
826,624,781,005,853,341,625,528,768,195,270,360,873,618,695,580,547,808,541,
752,780,230,728,892,774,595,557,513,847,730,759,273,853,336,274,497,297,834,
490,149,858,743,713,905,085,152,869,462,528,695,143,334,888,224,409,069,869,
356,833,216,276,130,096,674,845,063,954,264,800,093,247,389,749,326,605,005,
247,327,302,378,416,375,874,901,134,361,695,916,339,622,051,878,077,826,258,
437,259,724,190,927,520,427,579,918,675,648,870,467,244,888,179,295,716,421,
298,956,824,577,637,468,374,880,336,318,879,490,775,880,182,456,032,034,832,
008,018,702,244,270,864,948,273,547,590,530,053,785,475,292,016,148,100,228,
082,087,251,159,516,964,399,741,077,580,690,597,588,344,035,596,779,095,413,
311,831,795,124,713,125,910,127,843,902,160,594,430,850,800,659,679,769,511,
792,276,839,174,292,749,937,703,101,105,472,755,159,679,115,447,383,111,129,
970,674,407,459,452,614,137,881,084,485,539,147,611,354,261,014,486,279,361,
846,326,353,610,050,348,026,923,145,222,802,015,609,186,285,431,452,290,389,
966,352,021,516,984,535,915,344,501,314,029,915,608,435,397,416,079,561,517,
192,233,767,431,210,063,267,211,188,919,891,385,020,063,555,832,498,410,114,
557,759,667,001,845,107,568,607,034,793,163,498,527,320,503,308,387,993,859,
245,553,073,808,804,571,959,392,212,670,039,450,745,518,805,097,905,095,953,
339,537,088,383,895,479,961,267,958,168,465,418,131,613,822,675,990,397,871,
225,013,105,219,147,492,120,249,225,592,688,304,579,889,294,005,204,728,943,
057,350,328,179,285,701,621,257,505,013,213,620,862,629,321,091,732,270,198,
687,894,692,733,170,645,797,473,005,348,900,826,641,487,933,502,352,887,707,
331,515,337,532,327,444,099,948,313,170,775,389,444,496,830,447,451,922,416,
762,460,315,540,760,852,927,618,301,450,488,284,205,139,551,342,311,791,206,
991,911,873,128,378,507,478,543,541,214,356,669,486,209,806,569,323,450,823,
735,632,768,539,150,758,509,555,523,338,328,627,076,059,301,959,119,217,418,
486,028,265,208,629,197,341,293,328,531,939,047,597,666,419,157,716,449,359,
085,994,351,910,768,814,930,942,121,507,892,512,062,432,230,513,382,475,337,
871,620,938,138,006,685,891,459,829,290,405,392,043,184,570,595,535,086,167,
893,488,791,652,256,013,471,797,967,872,093,279,306,046,666,849,411,369,656,
551,743,937,307,718,159,234,720,865,433,820,327,614,773,427,761,984,954,151,
183,419,801,677,031,529,697,098,667,263,637,983,207,908,016,799,690,363,592,
151,927,723,947,470,052,035,433,880,732,507,167,012,320,664,103,097,947,957,
926,606,361,460,771,879,150,709,278,553,328,801,307,623,534,418,707,675,388,
872,208,004,476,290,136,910,519,821,488,683,375,788,063,957,389,144,308,236,
822,934,797,361,197,662,181,515,854,840,657,138,479,332,826,700,063,092,205,
882,687,846,630,554,195,860,146,367,407,874,792,519,144,620,727,475,919,354,
587,598,285,202,821,589,568,868,151,475,636,745,699,296,627,615,155,979,257,
458,188,350,260,636,718,972,758,398,556,394,272,344,203,175,159,560,051,512,
040,431,931,673,140,621,625,141,904,351,427,466,064,471,699,982,925,901,507,
300,626,949,063,888,362,697,880,911,663,472,486,487,624,787,012,647,480,865,
646,094,132,905,881,321,852,741,084,812,686,669,278,670,116,492,757,496,881,
593,519,598,521,853,498,628,829,585,545,580,950,345,635,544,349,950,100,903,
061,351,898,063,834,039,332,666,100,509,001,159,899,167,500,852,260,686,218,
057,427,217,042,527,208,830,289,166,161,637,335,202,629,168,347,151,917,817,
171,400,183,070,238,020,146,897,896,039,488,982,651,771,300,651,112,804,951,
234,596,350,963,718,353,735,929,835,077,707,512,615,488,677,622,676,320,480,
385,988,855,519,725,445,420,098,548,466,457,236,477,887,912,631,396,509,549,
004,135,275,506,599,444,515,533,776,174,447,894,674,494,022,645,366,375,264,
248,952,155,561,675,611,651,548,231,009,634,258,034,094,229,125,342,572,647,
989,689,316,439,590,130,056,364,099,045,937,839,318,442,296,595,623,496,099,
237,068,831,867,584,021,218,599,560,663,736,184,820,754,777,758,097,139,765,
897,320,217,733,248,965,304,626,045,171,925,477,975,272,144,656,327,451,143,
651,446,416,911,843,499,632,591,763,723,947,647,708,072,315,446,897,012,257,
306,996,844,199,813,433,323,390,710,233,258,727,746,292,285,387,244,627,755,
818,891,582,942,591,366,102,289,492,059,686,027,514,207,727,350,051,329,497,
093,999,817,093,204,104,961,018,886,380,958,882,993,424,778,680,773,042,696,
783,173,071,612,564,993,061,599,799,597,480,196,199,424,715,360,470,782,560,
743,820,800,399,000,915,261,932,150,122,468,055,596,764,553,168,467,489,286,
319,011,492,633,754,362,236,861,083,190,261,824,656,218,324,164,517,288,686,
923,714,158,321,087,356,075,857,388,576,687,070,965,475,733,014,967,457,570,
043,128,298,617,605,085,353,971,633,225,357,417,959,477,684,383,879,652,261,
381,572,358,494,039,433,847,358,306,672,043,509,549,389,842,004,286,345,675,
158,590,445,558,431,519,699,537,302,388,909,061,284,946,707,228,931,724,900,
665,238,575,455,384,460,344,958,482,655,868,601,183,487,562,356,686,988,688,
680,992,679,434,068,606,378,873,519,456,299,563,063,555,982,669,014,220,697,
186,832,177,884,743,195,807,937,535,179,209,777,728,639,508,629,120,747,492,
996,280,522,131,578,241,332,367,992,389,175,515,383,807,264,193,797,521,974,
396,377,420,221,458,024,503,199,372,649,841,906,218,405,352,889,581,512,213,
018,599,364,921,576,257,770,509,924,175,333,655,566,505,384,955,504,083,405,
382,429,605,575,266,347,841,203,360,005,417,438,503,192,892,609,265,870,472,
481,423,040,697,860,598,979,762,275,428,824,346,167,254,642,041,330,007,622,
756,893,007,882,244,685,067,253,788,364,363,071,224,029,070,089,335,021,724,
086,135,515,985,486,913,485,934,534,138,021,998,989,082,905,989,697,866,546,
997,597,807,973,689,594,001,263,242,519,154,985,960,474,813,268,654,006,084,
940,434,996,513,146,749,380,462,389,419,563,342,050,851,470,001,005,836,790,
967,853,029,404,551,661,422,295,504,368,502,016,782,802,767,402,067,226,326,
754,262,602,788,884,557,924,597,757,074,520,042,108,799,561,797,547,977,194,
668,650,302,600,563,291,808,063,319,480,450,636,638,088,642,717,988,984,885,
524,188,105,449,372,920,031,112,043,237,754,578,833,523,907,499,282,521,382,
930,907,952,894,050,268,658,099,780,227,387,834,946,758,533,612,226,712,796,
694,725,325,461,908,953,455,260,232,983,491,505,394,996,047,532,250,352,106,
313,256,441,353,937,028,959,981,041,036,515,732,888,309,556,605,305,898,021,
542,718,278,329,310,655,019,181,483,463,820,915,114,245,960,318,375,292,470,
466,351,267,012,850,074,530,138,608,451,725,343,818,044,425,615,747,956,652,
438,605,523,135,032,491,012,968,723,846,378,015,128,108,768,516,343,341,530,
962,244,108,446,944,852,341,413,963,870,108,881,385,456,506,144,976,375,416,
716,857,347,221,585,764,723,669,226,944,812,121,016,897,524,033,257,878,348,
214,032,067,848,233,504,734,278,137,709,709,979,844,974,595,319,174,394,821,
091,211,117,276,727,471,358,788,744,864,441,076,301,417,017,659,006,676,963,
508,795,242,317,448,136,808,520,721,814,785,191,834,144,128,689,681,235,414,
690,262,699,101,624,826,938,203,875,570,773,991,852,399,292,701,692,280,582,
880,534,652,285,393,445,018,560,226,357,612,102,870,298,235,068,688,041,359,
324,398,121,656,833,608,710,638,489,505,224,782,143,584,861,161,988,898,922,
975,869,334,494,719,608,150,583,238,286,072,680,128,085,453,437,174,663,315,
546,195,243,785,139,001,542,613,399,468,402,680,836,908,679,658,439,433,986,
833,491,823,591,736,456,028,073,867,109,643,214,092,452,274,245,797,218,352,
474,259,220,207,834,984,093,343,236,403,574,291,563,233,033,777,202,934,184,
947,529,695,395,142,274,296,345,241,984,130,468,129,594,339,701,089,437,821,
898,937,781,248,540,557,426,320,625,984,968,085,227,398,103,515,550,939,533,
599,807,937,803,506,837,710,027,428,791,849,104,103,686,146,896,472,467,764,
847,843,005,387,331,477,003,892,062,034,973,169,145,236,181,810,287,615,741,
530,005,229,206,682,461,523,884,447,342,469,307,955,437,709,937,746,140,481,
919,998,225,454,698,489,423,248,243,362,566,101,555,178,156,801,325,554,955,
464,402,729,903,059,371,783,963,353,549,117,612,223,331,775,596,745,552,411,
355,362,138,896,372,128,478,914,686,845,687,591,347,711,455,593,144,312,325,
662,442,121,188,449,536,871,763,019,609,622,655,868,007,077,293,447,928,050,
209,324,711,597,375,383,415,336,471,224,318,604,564,049,908,943,392,331,629,
896,404,411,854,649,327,636,963,737,415,649,540,309,851,398,763,095,169,312,
880,762,845,862,816,884,266,876,378,743,261,645,099,704,867,347,109,926,004,
949,155,009,092,394,986,407,965,208,180,667,229,257,410,237,541,127,326,981,
398,923,745,722,342,931,288,517,735,507,680,456,168,987,072,276,285,250,996,
753,543,237,530,578,148,242,951,300,604,558,958,419,755,864,355,616,273,821,
577,987,608,946,330,365,164,054,797,625,495,491,936,472,351,243,212,372,659,
352,995,864,173,622,579,015,938,653,734,868,682,277,844,672,957,810,724,766,
670,894,206,115,592,514,446,012,548,992,754,199,361,094,184,244,540,086,518,
264,637,918,639,237,503,622,135,744,003,059,521,438,588,833,299,709,627,279,
002,036,746,720,587,453,388,656,911,714,670,244,947,274,995,135,877,948,663,
549,847,048,811,957,240,647,831,400,203,955,404,698,877,283,043,393,423,120,
557,756,463,202,988,483,462,900,822,544,271,639,064,790,131,582,078,082,418,
518,659,409,860,041,710,912,678,010,275,429,394,786,865,086,612,688,741,487,
839,629,886,953,795,157,456,039,544,317,881,903,792,497,275,514,021,386,320,
039,310,209,019,873,687,932,044,876,956,737,732,780,652,446,726,379,762,841,
727,960,412,972,355,206,236,964,346,393,879,963,646,967,541,207,960,145,348,
697,841,715,876,926,343,569,316,129,109,190,511,273,810,118,531,381,740,772,
821,160,469,301,830,592,977,861,098,923,078,807,109,705,035,152,360,001,218,
837,480,116,825,838,069,785,090,346,697,901,869,199,829,842,241,281,171,187,
762,339,176,592,616,696,483,226,915,610,826,467,306,502,580,424,937,490,632,
719,105,364,678,286,956,506,229,869,888,652,054,950,041,162,148,075,696,899,
695,087,051,676,404,911,724,237,157,570,410,541,713,350,961,756,758,463,794,
266,065,717,584,725,545,665,034,825,160,367,074,210,525,609,481,050,545,634,
487,610,977,771,545,174,986,896,347,078,064,994,504,320,472,062,617,462,769,
796,528,950,951,622,866,117,123,888,626,652,984,590,649,247,987,710,229,005,
482,953,532,716,720,744,306,308,865,814,554,384,974,691,680,791,797,253,094,
153,752,597,694,969,794,355,725,240,001,138,977,601,980,844,256,828,613,776,
623,890,997,589,460,739,355,851,176,241,935,615,638,370,098,818,503,158,944,
866,806,367,393,213,410,567,046,635,754,309,401,818,513,557,874,285,844,320,
756,343,503,160,174,828,359,526,019,772,097,141,776,358,215,152,423,945,024,
356,280,053,743,632,898,871,084,584,295,526,461,404,028,711,048,039,078,266,
014,744,339,337,122,449,821,747,014,668,398,774,068,682,651,891,568,723,898,
814,747,637,553,632,659,015,775,072,167,776,409,474,342,257,624,290,142,377,
878,994,523,095,524,141,411,340,217,585,467,671,828,071,061,830,761,927,007,
082,495,376,271,161,440,484,774,788,721,069,535,136,706,354,519,563,982,978,
321,206,698,643,637,101,767,948,455,791,463,633,451,262,198,817,971,492,758,
580,388,795,655,160,355,288,726,828,109,327,679,582,587,377,843,382,883,931,
909,010,891,706,779,034,892,732,891,145,650,318,899,992,523,780,378,551,020,
011,402,117,648,079,062,574,783,651,100,765,276,570,174,949,962,669,353,317,
159,133,962,927,490,040,561,329,220,850,100,239,705,504,440,534,910,253,527,
176,664,052,549,541,898,021,872,060,626,869,827,892,390,225,367,785,786,011,
555,330,436,947,986,003,190,117,482,971,369,559,060,001,744,748,254,703,286,
031,909,010,295,485,508,653,617,925,813,569,758,744,466,036,982,586,802,548,
896,734,116,680,274,865,569,963,782,120,969,672,492,273,431,792,930,924,337,
195,564,460,536,449,401,022,309,247,142,453,169,398,745,847,261,586,894,673,
421,681,618,169,998,196,206,438,212,995,822,304,445,062,615,871,494,965,243,
790,749,200,722,711,733,601,232,228,493,695,256,352,339,734,729,438,315,663,
109,713,889,766,087,285,824,417,724,560,877,526,439,628,498,719,128,917,483,
596,707,931,501,859,433,045,248,741,986,692,457,453,151,549,008,051,613,648,
455,897,698,299,300,401,270,449,687,786,343,500,685,414,093,469,327,403,006,
418,257,847,907,461,585,938,247,611,689,715,721,947,696,027,695,494,290,068,
042,807,639,273,121,018,785,459,187,320,353,031,137,693,233,898,573,518,058,
100,907,117,005,853,131,548,835,087,341,332,475,011,794,900,910,605,722,416,
370,282,598,568,478,600,409,281,614,100,066,601,445,501,704,408,375,521,890,
226,085,754,640,642,273,954,474,033,360,505,322,716,650,947,351,441,062,508,
440,796,617,242,638,067,874,614,033,633,459,161,382,949,928,482,986,725,310,
025,220,301,975,728,329,509,655,241,898,923,359,663,165,638,234,279,315,828,
055,118,270,118,143,788,614,811,578,012,501,909,881,163,977,515,824,190,798,
147,330,204,020,894,353,047,528,363,677,057,807,149,106,429,919,712,448,472,
469,128,908,199,359,361,080,623,698,020,650,059,462,927,552,444,422,765,380,
140,449,680,590,920,758,184,180,084,862,996,550,150,685,682,084,626,503,610,
712,744,321,146,021,451,428,312,494,322,022,469,587,820,642,112,806,946,731,
261,701,783,072,950,874,536,590,947,125,141,992,814,975,755,302,440,338,958,
636,299,017,282,821,192,466,310,129,644,860,432,086,906,358,500,903,488,398,
725,758,683,551,868,080,307,060,250,252,859,104,876,447,106,724,301,824,600,
167,216,816,339,389,492,608,662,270,472,794,426,178,976,045,015,783,790,280,
662,121,771,809,902,717,257,023,028,340,733,519,858,191,773,639,655,137,479,
646,293,994,269,425,119,673,607,807,555,469,219,745,247,373,718,200,534,948,
400,214,888,869,893,337,568,071,093,492,307,256,669,189,096,461,176,585,922,
014,135,772,790,432,375,428,745,868,024,098,011,750,248,056,513,117,856,325,
494,308,352,221,354,975,175,448,410,793,737,373,740,476,283,358,296,084,955,
477,393,902,212,541,993,359,809,889,434,476,475,143,361,006,928,228,972,724,
826,432,843,843,265,547,113,130,674,709,493,057,695,523,371,205,328,852,545,
540,663,878,695,268,847,973,257,725,309,547,022,303,631,877,764,343,058,978,
834,564,058,769,728,043,263,655,177,928,049,104,778,112,796,341,092,173,553,
062,888,075,698,805,768,189,222,932,770,512,207,329,445,519,983,470,803,135,
409,728,948,301,596,389,155,859,827,824,782,961,909,893,909,307,117,485,584,
280,002,805,474,808,950,439,642,074,230,646,548,448,436,732,311,214,991,544,
287,430,717,177,708,229,939,338,193,799,130,666,069,575,246,403,130,953,663,
944,667,311,031,743,299,817,332,472,227,604,512,525,836,563,483,001,727,306,
614,426,757,916,575,070,396,128,029,232,685,341,925,608,920,827,165,967,106,
492,152,289,390,584,928,025,968,413,160,723,633,628,212,388,959,725,925,432,
736,861,604,484,069,874,887,915,964,386,101,678,693,776,992,994,141,963,481,
818,605,868,275,257,941,183,009,845,629,248,792,490,775,468,908,446,588,832,
527,159,566,572,322,645,708,068,364,358,161,469,771,232,800,326,427,838,923,
913,533,825,696,975,918,698,975,836,477,426,708,558,039,692,279,634,941,861,
209,399,861,045,047,948,512,156,822,777,288,479,699,149,581,924,243,568,270,
058,399,465,252,600,478,682,731,178,127,713,970,974,418,822,537,876,255,725,
748,356,326,004,096,592,506,151,033,072,907,856,274,879,925,451,349,018,210,
874,107,800,957,550,616,639,657,254,298,437,245,676,744,463,136,047,495,648,
967,885,032,631,295,940,012,736,900,125,600,586,030,817,730,629,431,555,109,
841,875,227,664,974,877,971,414,966,898,731,009,883,949,742,083,149,106,540,
708,990,609,308,245,070,316,328,203,607,133,657,757,844,078,059,641,680,439,
006,616,116,277,161,231,404,746,076,225,289,066,260,929,424,434,633,246,799,
431,418,313,032,325,648,514,908,151,713,787,627,784,039,466,540,501,544,997,
753,702,962,058,192,206,823,058,477,019,422,829,743,745,738,937,030,200,922,
050,019,642,371,304,029,984,957,627,889,351,641,940,126,122,073,068,475,542,
224,519,097,432,397,112,065,532,727,276,040,905,910,720,112,857,116,502,571,
832,872,967,501,555,506,806,521,073,028,093,968,389,816,811,705,556,639,850,
357,464,035,614,572,610,316,658,931,108,258,187,432,049,496,786,377,399,342,
965,969,880,307,027,305,516,219,101,880,636,962,336,825,458,794,932,432,996,
993,879,408,042,228,721,292,705,071,363,810,573,282,759,102,097,824,504,022,
020,985,409,153,272,092,634,530,059,883,383,243,594,074,900,209,187,650,970,
884,127,105,807,579,225,262,723,071,180,172,588,194,882,842,423,393,592,531,
402,627,813,069,965,876,885,891,481,241,648,685,292,621,373,763,128,649,514,
858,863,701,130,693,967,669,182,977,262,050,293,293,741,449,500,291,938,155,
176,605,633,505,617,417,010,227,917,238,598,431,287,561,834,125,100,604,442,
753,185,804,447,642,489,423,331,709,406,316,661,474,004,275,994,570,690,851,
476,949,966,551,463,221,764,062,424,075,403,059,478,213,186,073,145,131,025,
808,619,877,069,849,420,792,380,913,366,330,583,365,661,886,017,034,809,693,
624,897,091,997,914,870,376,338,695,993,822,531,250,537,823,980,872,898,656,
342,587,473,094,796,171,458,873,105,016,609,579,904,244,468,705,679,104,886,
172,621,292,563,124,693,106,563,202,174,124,814,981,912,985,992,971,299,164,
403,126,590,038,085,753,439,853,953,354,155,617,737,072,740,554,716,833,670,
386,670,451,085,083,372,411,573,420,986,743,590,948,258,921,147,166,153,587,
832,880,223,755,364,086,710,336,046,267,131,455,029,377,291,114,811,613,587,
803,032,282,636,493,924,871,422,659,917,228,806,301,311,409,254,577,716,019,
034,797,949,442,204,441,661,319,883,749,055,248,092,600,381,967,622,036,148,
850,673,281,124,841,450,588,262,355,964,478,150,132,347,651,449,406,583,314,
490,525,524,588,146,696,759,241,250,157,107,333,204,937,405,234,530,899,184,
816,078,173,392,394,934,103,040,817,793,624,080,048,274,410,745,508,378,133,
025,510,805,391,110,506,643,857,570,235,007,435,366,549,713,149,332,169,411,
734,247,332,547,323,608,800,295,249,991,164,397,602,863,805,194,467,408,005,
107,469,037,116,048,691,784,954,940,318,383,790,048,237,248,321,939,072,786,
436,066,747,020,062,245,726,821,339,551,489,593,280,551,144,273,907,198,902,
462,177,518,612,754,495,789,346,441,686,588,999,488,245,879,372,407,599,700,
092,836,042,805,623,260,081,480,998,181,877,885,805,257,855,091,953,268,800,
013,504,469,945,903,136,685,011,977,444,826,796,379,877,836,432,664,019,957,
409,893,823,667,219,491,750,432,472,697,929,659,389,381,170,816,989,189,123,
595,519,913,661,093,305,595,270,208,212,087,423,409,780,736,952,488,329,407,
048,404,446,825,933,300,248,204,683,787,698,395,347,373,339,449,624,956,067,
807,809,105,130,498,942,660,394,753,555,730,436,740,499,665,245,543,714,381,
691,334,644,351,897,634,830,407,356,628,174,473,967,954,536,177,324,342,699,
590,601,865,731,267,749,835,573,818,921,831,581,578,899,065,749,803,934,701,
198,371,683,522,906,350,198,421,584,494,508,578,796,121,838,125,383,385,875,
816,544,545,330,125,119,270,660,066,380,354,162,574,411,452,388,355,483,711,
295,176,568,777,477,919,852,122,588,248,476,157,562,795,818,289,959,139,646,
870,907,004,295,423,196,156,552,714,356,063,497,224,909,673,789,002,273,510,
028,800,656,274,009,577,957,581,341,577,515,905,091,709,229,611,116,850,110,
345,130,456,544,620,371,838,125,041,199,828,430,050,002,877,550,857,408,128,
589,979,097,631,128,589,962,535,862,932,469,009,236,230,050,027,486,911,092,
949,219,015,749,273,131,227,417,231,999,815,888,436,917,283,078,126,517,651,
399,645,392,762,688,229,184,501,999,213,925,581,449,436,365,321,202,559,556,
453,094,314,851,688,560,776,540,152,469,235,435,593,205,278,057,634,376,820,
448,552,610,858,109,641,802,398,714,992,648,859,083,872,250,264,280,422,607,
289,684,190,930,708,986,002,496,729,878,266,069,784,586,459,211,144,315,651,
068,328,201,705,381,709,834,021,294,460,689,720,945,690,954,189,231,677,352,
297,468,523,658,930,139,653,689,094,751,199,097,143,284,772,860,747,084,656,
204,367,846,317,907,960,049,672,874,109,247,735,860,513,925,373,236,744,721,
655,904,798,544,076,214,734,076,306,172,195,976,482,435,293,708,753,958,724,
238,070,065,581,386,669,938,334,418,825,761,263,072,697,029,786,135,366,197,
695,567,466,986,594,919,999,073,779,751,307,118,617,905,447,885,431,837,125,
709,918,326,956,447,317,698,601,188,983,680,310,981,131,094,807,915,411,867,
181,727,017,293,658,445,020,208,747,145,527,689,909,558,974,566,567,533,018,
421,339,636,646,618,005,704,432,877,219,282,129,372,784,195,350,321,119,246,
534,163,488,019,436,789,061,186,138,903,610,331,547,272,162,300,552,523,893,
725,442,750,974,466,802,864,423,134,409,916,374,670,359,229,061,320,901,331,
243,574,649,279,180,941,403,148,672,916,822,283,299,582,546,033,508,282,992,
232,593,907,906,301,375,127,321,943,760,119,979,574,373,133,244,579,646,331,
313,699,495,021,087,767,870,256,874,588,402,050,244,710,975,594,355,952,717,
373,641,139,392,223,883,756,618,443,847,928,540,511,975,977,349,341,404,098,
619,119,827,399,575,206,879,138,479,670,084,582,258,496,156,519,384,726,525,
859,844,196,311,719,368,449,982,259,572,316,113,103,443,192,844,442,487,794,
922,230,128,972,889,327,987,801,319,152,263,119,416,651,994,662,551,053,402,
904,735,509,412,296,447,540,142,744,145,936,207,266,153,067,278,396,892,765,
127,082,457,369,571,749,826,217,054,227,539,454,206,757,357,294,902,093,287,
316,111,085,772,842,411,867,305,986,897,621,498,899,852,993,715,736,385,431,
228,845,747,892,424,625,005,504,449,659,638,617,092,720,127,862,884,197,685,
324,356,077,223,208,387,454,820,944,529,937,542,015,454,682,014,878,387,234,
181,418,603,845,529,441,332,862,175,646,903,316,949,475,928,364,321,148,384,
318,339,889,850,747,036,273,737,428,336,922,140,879,416,796,160,973,225,709,
193,834,014,338,599,203,003,382,677,809,521,729,054,314,510,263,142,408,310,
430,479,690,651,249,719,836,207,205,738,559,789,617,364,714,451,784,106,698,
115,511,194,735,763,839,734,148,356,870,557,157,060,690,075,398,306,642,104,
406,709,632,927,604,617,178,450,608,181,123,268,497,782,446,740,130,660,005,
668,457,492,148,103,093,367,452,461,247,513,182,969,758,805,280,762,008,357,
745,253,552,991,102,457,332,814,836,651,161,741,817,034,393,850,176,588,402,
470,731,320,559,364,367,949,381,990,601,245,113,584,160,987,267,397,532,532,
475,270,266,259,848,341,033,943,703,856,709,240,552,577,936,400,447,906,560,
118,165,206,043,475,589,254,011,387,452,232,696,364,719,387,480,416,086,928,
015,662,959,161,133,028,066,222,391,879,660,050,390,208,293,147,290,851,002,
175,532,296,431,158,054,461,811,193,584,836,860,614,539,997,339,358,132,841,
821,301,417,985,076,509,604,004,498,233,083,315,669,557,629,774,000,968,261,
327,498,559,476,478,913,355,444,497,414,333,671,559,092,711,343,007,382,590,
057,369,524,227,512,777,128,643,138,641,507,063,450,299,502,205,716,464,348,
355,319,850,138,604,401,957,634,518,267,076,470,841,098,063,156,902,406,727,
084,451,053,648,430,089,842,738,300,034,578,746,082,610,217,106,083,710,363,
689,133,606,776,050,492,222,458,185,368,905,994,068,235,602,423,864,750,877,
468,710,849,986,141,560,631,616,854,347,245,034,781,405,389,692,675,393,732,
389,203,635,888,533,990,786,280,067,885,154,302,195,520,145,619,520,071,451,
102,652,892,652,382,909,328,573,823,532,926,496,023,262,018,491,924,142,233,
544,614,883,892,062,127,720,799,196,271,554,483,682,643,341,393,050,900,505,
869,591,450,097,911,806,157,774,845,842,009,517,215,796,410,857,508,217,299,
658,818,134,040,547,714,048,648,215,542,090,282,981,598,373,954,756,793,748,
857,664,585,897,661,146,620,320,627,319,128,305,633,724,098,936,824,740,163,
232,909,424,356,228,005,933,864,356,404,000,661,907,327,217,210,629,786,218,
972,768,533,907,005,875,473,053,010,278,873,327,833,349,664,329,305,836,231,
196,680,607,001,934,740,191,953,570,157,053,163,768,115,763,446,485,075,153,
874,862,347,541,522,647,704,819,424,590,635,536,089,732,879,900,177,312,945,
225,062,739,908,748,414,207,582,371,499,726,385,239,364,013,888,733,178,270,
703,604,126,295,240,176,879,213,702,813,930,034,203,697,005,561,970,183,595,
874,286,141,648,136,956,764,684,242,231,079,568,633,009,186,868,699,440,229,
714,859,389,860,547,723,137,438,201,930,517,977,489,952,991,489,634,709,118,
721,851,703,533,387,294,298,821,550,224,304,935,869,466,755,122,403,027,759,
286,622,177,418,796,632,667,762,264,548,530,409,859,469,954,734,018,051,887,
331,425,162,740,058,755,057,181,388,511,112,023,271,464,779,326,018,148,599,
945,877,731,799,294,471,750,631,577,915,747,148,964,913,622,187,987,869,579,
024,488,140,726,141,240,673,593,199,275,754,546,606,953,966,237,535,476,067,
205,204,752,382,951,814,586,353,422,548,573,787,652,836,293,131,343,045,253,
313,673,808,714,817,194,368,879,609,978,510,620,857,747,968,940,696,268,135,
703,136,233,284,094,130,312,912,685,275,022,487,287,083,555,566,363,963,304,
264,326,875,387,606,362,128,063,690,269,355,171,886,083,065,729,240,378,501,
475,138,982,472,360,597,195,094,297,850,271,261,560,093,864,540,120,515,408,
009,491,109,059,943,089,110,044,650,881,450,998,209,150,671,358,368,966,491,
651,107,240,548,419,254,678,204,429,897,186,600,704,084,949,875,293,326,700,
396,903,198,881,876,071,221,883,542,210,269,940,467,542,082,258,033,244,745,
106,560,001,426,392,509,711,845,533,049,660,842,983,854,480,417,398,039,934,
383,381,182,741,599,678,011,782,024,919,318,550,200,990,567,816,777,422,952,
993,828,789,648,083,478,978,874,657,757,088,387,512,528,057,494,244,417,779,
842,950,064,186,750,387,671,685,623,651,564,091,334,874,541,552,858,978,446,
153,693,037,807,483,254,126,556,193,059,520,093,666,919,081,723,668,687,703,
554,908,685,789,528,119,463,226,629,732,290,956,108,551,226,430,237,047,667,
292,607,101,498,877,207,696,855,717,335,856,984,802,402,544,983,674,165,749,
605,086,804,193,475,809,912,422,195,151,374,237,053,410,224,000,263,767,460,
065,935,921,174,730,090,801,146,701,709,555,642,489,052,694,915,685,968,597,
935,631,985,975,510,866,538,504,761,857,907,231,607,320,992,438,320,866,101,
405,238,263,129,825,863,895,861,454,940,163,516,514,548,366,040,760,493,660,
262,802,954,533,804,818,432,204,234,446,587,766,950,252,556,267,444,929,740,
033,355,783,240,491,343,446,937,093,555,012,922,930,066,924,859,030,772,984,
439,767,190,232,026,232,017,096,920,126,509,726,015,796,890,391,876,698,610,
612,046,111,146,709,800,178,145,471,090,474,613,335,423,265,537,655,668,158,
963,257,979,044,563,312,327,708,040,490,416,807,509,775,512,296,554,202,008,
234,456,913,866,634,140,229,621,402,396,308,017,574,319,699,321,053,270,180,
921,680,598,303,915,671,098,156,346,389,469,686,769,608,584,219,787,958,248,
508,571,399,889,312,068,236,233,531,543,209,685,461,202,302,507,268,982,660,
531,521,239,005,580,236,260,260,590,459,216,808,158,706,596,509,345,165,072,
116,212,095,279,409,702,650,502,860,165,875,846,573,147,655,635,077,697,826,
473,872,049,040,684,412,547,426,607,108,577,585,615,897,766,740,041,348,096,
983,912,489,025,411,426,175,815,635,453,552,271,834,246,692,081,624,142,548,
593,612,406,543,522,268,817,002,513,875,491,868,999,695,330,976,836,381,544,
862,538,818,301,970,027,788,832,262,100,045,724,464,545,039,435,889,368,058,
750,089,499,806,238,835,894,231,444,954,342,635,142,977,890,045,676,185,813,
282,380,754,967,186,782,088,828,634,017,740,787,994,270,195,599,120,011,538,
842,761,709,229,771,416,795,439,298,626,401,004,839,238,156,159,393,852,878,
214,504,334,544,985,165,476,534,068,628,820,779,144,539,412,004,185,108,784,
482,232,660,376,467,501,951,228,790,056,549,141,690,238,231,710,190,257,348,
704,621,775,388,137,642,818,793,515,022,822,664,072,965,056,822,449,298,025,
386,905,268,067,071,742,960,582,874,208,784,658,481,331,983,505,298,776,588,
380,082,283,744,603,450,208,512,171,427,301,312,708,121,003,490,522,446,661,
274,624,507,380,371,952,759,911,666,764,367,128,658,196,874,628,631,910,204,
048,125,441,929,821,397,482,108,767,088,449,763,388,703,869,658,168,434,734,
390,638,751,727,448,337,013,860,919,535,365,651,827,317,199,066,758,932,472,
597,977,509,095,760,527,785,983,968,580,230,486,602,846,018,294,536,426,629,
905,842,035,582,086,413,515,396,721,624,248,019,783,017,036,337,667,077,637,
938,932,772,827,977,716,676,844,268,874,755,331,517,111,809,823,553,305,079,
427,034,683,003,430,875,082,598,849,541,085,316,545,104,841,678,240,812,344,
034,483,659,758,969,050,373,249,711,746,676,925,856,076,727,626,451,589,654,
610,655,138,392,100,809,194,086,399,697,085,931,101,525,636,452,129,631,062,
360,387,368,221,821,907,351,257,173,464,398,745,105,637,351,987,947,362,022,
446,571,362,288,750,478,638,520,097,889,377,312,184,250,435,751,823,601,231,
447,908,412,878,205,311,445,108,835,455,232,415,613,491,320,754,049,937,523,
808,647,032,538,728,466,463,025,482,231,534,097,878,625,979,098,592,199,463,
269,893,784,856,151,515,668,030,878,062,569,125,064,526,672,972,807,911,926,
380,491,891,876,737,158,914,808,669,806,873,927,867,673,401,869,217,044,474,
092,201,273,379,507,555,225,461,280,842,102,500,677,842,892,691,366,225,679,
139,884,217,210,582,397,541,052,282,611,439,166,399,635,955,394,722,151,735,
440,739,709,280,460,926,217,889,556,449,347,040,217,468,919,552,816,971,674,
685,182,344,507,942,319,133,771,672,083,542,908,060,920,913,539,249,968,462,
281,092,350,892,456,372,491,331,722,189,473,367,362,330,024,813,617,848,458,
881,660,473,705,744,121,427,084,332,197,882,032,423,658,451,500,874,119,016,
653,285,249,690,207,236,818,019,572,065,005,764,135,758,251,940,398,468,833,
129,998,054,840,663,339,258,522,924,236,067,247,689,073,789,611,702,219,993,
543,143,235,311,938,688,349,945,649,399,377,078,730,554,549,309,539,114,328,
610,345,088,969,082,041,056,896,994,449,056,198,567,896,440,542,206,267,110,
364,102,596,399,080,879,978,125,310,359,764,019,491,188,156,622,881,796,807,
564,940,413,887,641,222,537,681,713,005,139,093,845,780,317,688,076,717,373,
591,356,387,072,346,805,475,087,287,374,488,759,468,459,429,771,857,819,777,
216,995,731,509,879,954,122,729,816,693,225,308,561,449,380,844,328,995,923,
213,469,474,571,076,363,250,948,119,511,334,518,538,860,713,130,065,828,438,
760,077,199,725,734,809,678,568,285,964,779,103,053,714,312,871,466,742,608,
158,239,720,277,132,355,693,840,002,932,658,433,321,092,551,960,722,612,984,
682,445,711,734,977,962,390,809,138,783,344,561,567,289,752,006,552,596,238,
288,735,745,310,002,537,549,561,515,488,060,052,374,491,152,580,165,198,885,
977,419,202,469,458,009,210,410,752,350,587,724,698,605,824,054,284,570,222,
596,702,325,373,100,200,320,798,075,735,616,192,868,012,825,440,573,401,834,
207,141,738,878,216,056,301,708,503,289,207,222,330,773,220,123,447,397,556,
725,132,959,832,291,819,832,113,735,462,806,855,647,889,819,844,870,245,067,
562,152,893,743,898,020,390,416,145,497,632,802,712,780,599,521,970,084,845,
556,260,081,952,984,293,113,134,971,620,523,658,310,897,391,764,775,544,131,
632,359,160,041,176,911,001,905,638,127,710,344,746,100,980,841,881,605,547,
159,565,512,021,244,858,743,833,275,560,594,000,172,457,810,828,176,728,850,
224,883,062,943,836,329,576,540,796,348,471,735,559,981,630,317,757,456,145,
422,485,731,745,782,978,285,735,439,220,351,566,109,383,367,191,211,979,178,
065,960,755,643,713,040,592,260,180,627,893,801,898,429,794,029,049,980,216,
177,947,038,627,274,267,139,098,672,260,657,314,281,354,797,702,673,099,464,
736,363,054,013,028,039,400,658,298,077,618,103,314,736,405,155,856,839,898,
325,060,264,337,652,655,313,474,767,085,711,335,880,415,279,872,608,030,030,
569,193,597,885,140,827,550,469,627,805,353,889,004,611,458,099,853,083,467,
512,170,423,252,712,964,949,271,009,351,329,388,126,642,409,964,884,237,615,
188,997,938,817,203,260,775,989,991,725,741,799,570,496,100,481,183,354,044,
309,751,598,957,943,422,696,115,965,868,740,460,691,928,753,363,138,190,634,
181,983,149,893,867,160,876,272,604,920,979,550,204,434,030,859,809,086,845,
653,889,052,997,751,928,120,217,452,333,073,454,714,335,867,983,134,701,266,
482,566,334,794,960,480,434,734,446,794,423,837,620,803,625,715,517,380,821,
654,758,310,314,574,090,777,457,202,880,241,777,332,568,459,137,423,614,287,
086,100,654,938,676,625,899,590,411,034,305,203,180,228,662,991,272,171,234,
125,195,259,098,977,651,984,789,360,950,720,694,289,561,105,627,283,801,160,
467,813,620,941,701,853,956,509,498,769,397,965,736,265,593,414,755,483,659,
539,161,080,134,493,631,551,187,732,883,095,236,980,683,662,071,309,723,241,
874,354,172,855,452,722,541,734,005,338,044,454,500,014,623,779,588,900,359,
377,583,653,380,318,322,205,100,471,547,786,670,446,814,029,702,906,629,474,
402,825,768,963,623,700,745,201,040,784,084,932,129,052,891,058,008,678,503,
519,388,907,571,160,554,571,337,549,021,968,879,411,242,847,489,330,465,834,
693,587,178,791,586,657,834,523,918,542,735,729,097,394,550,630,549,795,009,
362,816,448,366,650,547,057,935,134,831,812,371,596,098,150,209,815,166,597,
524,181,459,687,013,232,407,363,225,404,683,561,866,667,021,522,677,023,219,
702,879,432,785,870,881,509,869,877,966,387,997,264,288,406,082,922,360,013,
360,649,763,537,631,109,383,508,934,573,354,670,438,447,352,990,123,759,290,
533,209,195,107,516,267,817,050,215,450,328,019,260,050,407,286,771,119,264,
431,340,473,221,866,277,265,571,943,003,758,984,178,021,917,759,520,267,238,
153,667,603,335,126,304,306,369,388,180,763,163,082,453,854,154,871,348,082,
728,959,379,165,440,161,400,045,986,320,468,775,496,600,358,411,987,672,669,
865,214,716,858,519,348,339,561,142,434,367,359,081,460,225,894,981,721,488,
151,965,819,326,811,336,563,333,606,576,783,782,526,874,160,512,430,912,956,
075,800,682,023,237,081,176,138,516,779,397,377,780,246,436,273,486,698,920,
677,591,114,122,404,926,255,233,268,357,286,306,142,926,600,933,591,326,300,
648,760,694,386,964,185,974,392,571,092,237,233,249,508,295,486,613,094,612,
027,213,062,777,867,605,765,886,314,209,738,213,539,626,496,556,585,165,305,
416,527,278,205,747,561,736,014,363,366,902,919,244,133,368,870,167,828,499,
003,397,048,148,707,378,051,356,301,839,261,219,881,950,087,511,575,664,140,
601,868,745,987,932,160,088,279,024,166,171,058,414,826,827,936,118,194,977,
902,690,297,186,249,037,119,422,147,628,818,368,315,970,540,192,881,754,773,
821,000,627,972,325,895,968,887,111,359,607,464,103,106,045,710,009,638,322,
225,820,716,056,879,548,019,087,332,856,604,627,981,696,742,588,532,063,325,
032,591,687,303,047,794,958,597,532,961,964,451,855,196,697,842,441,276,253,
291,279,033,390,307,938,141,935,581,097,229,865,359,761,526,836,031,783,913,
918,925,995,313,954,748,696,980,686,743,858,731,181,040,530,150,688,768,347,
465,926,208,069,309,047,831,038,220,661,672,958,555,940,122,041,526,371,389,
696,718,567,201,700,756,188,421,824,147,956,392,098,022,593,000,524,688,300,
159,434,536,693,424,927,862,035,697,952,653,764,291,839,255,136,634,339,804,
585,854,528,657,312,112,875,196,009,076,700,665,703,451,274,194,003,301,440,
525,942,972,445,865,516,831,698,175,780,733,276,062,149,526,197,958,949,045,
429,779,848,304,714,260,999,518,748,540,651,672,310,912,539,856,843,756,841,
872,920,037,645,964,007,235,874,621,663,573,153,320,475,012,068,092,565,595,
489,562,556,672,648,109,722,254,797,615,442,161,967,006,542,525,011,967,562,
749,605,810,445,521,430,915,306,235,020,941,086,834,276,743,439,559,143,209,
111,088,508,349,603,789,016,054,760,603,449,144,827,469,166,965,717,275,939,
110,820,207,982,026,221,493,486,448,873,208,026,915,868,758,688,135,531,576,
236,324,528,572,119,939,720,032,207,756,187,512,365,204,209,284,880,681,944,
206,115,295,862,625,364,580,004,776,952,303,241,829,413,151,539,010,371,801,
539,221,985,203,734,725,751,820,249,998,591,071,248,764,625,898,020,114,464,
062,518,669,143,255,175,301,367,710,082,286,201,528,582,278,583,461,506,163,
840,313,158,243,600,335,417,173,450,464,324,559,081,042,665,286,049,377,726,
531,243,542,455,285,119,090,180,310,218,307,331,968,702,863,554,038,507,040,
097,133,023,357,971,185,965,550,128,285,778,578,773,014,587,898,031,112,005,
349,923,543,198,815,957,414,496,680,186,389,900,604,708,837,265,536,043,225,
294,661,281,132,687,039,699,073,918,039,599,823,206,036,069,396,729,212,252,
997,327,857,077,061,875,518,151,258,353,863,309,002,834,595,576,751,110,171,
742,026,296,495,083,064,386,847,680,103,116,724,138,155,338,599,069,996,495,
696,840,316,310,254,013,641,245,252,519,985,627,429,578,647,109,847,911,167,
428,095,996,050,391,749,554,589,320,284,275,610,365,749,102,760,298,882,666,
290,493,087,501,224,254,633,958,577,718,785,685,506,800,594,350,130,896,859,
112,626,985,499,644,554,323,920,334,869,632,991,552,843,716,129,360,284,717,
539,575,998,240,218,176,947,017,667,494,392,304,024,389,727,501,242,482,184,
589,416,351,245,565,908,902,313,547,053,999,248,000,579,830,899,430,156,151,
101,762,922,229,077,898,285,912,571,828,016,860,281,245,574,080,712,423,808,
963,247,286,553,917,100,179,429,538,480,876,310,778,543,612,813,091,462,068,
914,296,070,747,691,820,918,624,692,706,000,385,924,687,291,402,050,071,639,
364,481,782,077,893,878,125,693,074,833,190,394,647,227,212,608,189,271,134,
881,969,676,849,301,442,534,192,875,907,414,108,537,537,588,414,809,162,823,
691,706,716,237,724,217,974,860,646,267,647,458,861,619,834,987,314,336,589,
137,459,575,758,655,843,703,026,418,545,951,661,069,757,982,104,052,598,446,
472,724,956,224,980,822,061,808,102,108,657,166,881,887,286,416,219,283,752,
731,663,553,287,573,528,969,859,379,820,310,385,000,333,543,111,648,463,322,
767,885,936,220,491,938,599,593,125,538,191,502,188,499,411,374,402,856,713,
258,646,079,025,596,521,134,654,767,740,280,238,031,891,227,798,607,788,508,
591,592,554,490,398,987,342,387,359,510,837,567,345,068,112,717,512,111,119,
372,172,035,748,265,118,635,093,541,486,993,055,639,309,989,708,203,688,775,
605,433,983,306,722,225,064,375,531,773,631,130,617,060,850,140,032,644,801,
731,951,377,006,471,823,517,408,873,117,541,586,179,903,157,559,270,456,506,
855,618,919,305,138,243,204,498,199,838,842,886,720,813,087,163,034,161,369,
942,662,806,251,325,992,024,555,983,159,952,461,246,880,163,713,202,305,616,
632,129,940,233,544,085,298,077,565,743,760,507,761,650,663,339,360,205,349,
032,514,889,366,530,828,801,683,833,781,563,055,432,143,976,490,470,585,484,
791,103,761,417,070,955,393,070,830,063,993,304,803,444,724,519,872,762,691,
931,181,547,442,414,356,312,973,777,349,961,152,717,075,283,215,152,098,149,
977,571,636,260,015,489,900,015,691,810,546,891,816,577,747,605,750,384,608,
648,034,958,027,105,981,767,803,024,377,957,077,070,911,675,700,511,318,074,
233,031,295,057,781,310,482,769,797,661,859,962,555,993,970,085,617,388,817,
422,695,264,101,127,904,646,532,366,000,876,747,908,380,034,367,524,768,122,
071,725,280,939,313,951,491,352,724,906,554,388,522,297,819,760,154,201,953,
638,514,936,375,643,927,870,586,610,909,095,088,309,708,692,002,546,297,039,
206,448,696,390,041,521,563,359,233,482,698,186,071,404,942,439,860,461,653,
617,506,937,805,648,221,967,899,277,340,301,066,665,392,969,854,875,932,150,
004,247,264,291,953,827,827,754,990,278,124,254,220,395,527,490,350,119,241,
287,772,943,740,825,297,221,132,083,497,166,812,220,908,078,484,734,777,242,
288,186,892,190,996,989,444,766,273,432,356,921,912,590,787,301,299,961,165,
504,569,150,707,251,922,480,688,592,054,823,397,339,868,744,429,821,142,855,
366,897,376,668,438,176,914,957,472,455,054,407,481,751,037,142,465,252,912,
222,368,299,615,570,686,409,705,024,173,677,026,915,946,738,612,372,139,712,
174,093,774,424,932,954,978,148,188,920,562,631,937,072,509,576,226,292,419,
300,929,944,817,074,294,688,499,497,582,953,263,135,364,708,550,910,520,579,
800,751,609,908,771,672,694,906,723,894,622,322,085,311,855,860,654,430,888,
356,401,922,533,645,465,421,437,295,716,688,129,151,013,315,233,255,240,800,
285,125,776,452,668,108,781,982,920,539,385,595,340,899,594,031,741,792,312,
105,303,369,161,214,603,381,310,923,183,786,476,343,407,706,523,284,984,063,
044,469,599,680,658,632,166,999,472,440,555,589,314,311,058,316,115,366,683,
834,255,105,081,555,647,789,905,553,628,874,463,832,592,372,917,449,644,549,
899,086,842,977,372,556,800,324,194,560,202,283,804,607,417,861,920,209,077,
559,511,108,196,005,410,355,433,810,886,554,088,008,170,808,543,495,965,326,
409,264,395,722,593,981,794,844,552,162,857,778,248,331,680,895,459,390,774,
825,983,546,300,931,512,178,759,384,712,377,965,795,592,752,871,483,002,630,
788,018,540,674,158,847,661,449,113,486,619,154,853,965,969,038,952,414,196,
849,096,083,112,005,300,537,338,377,243,265,789,264,670,283,579,412,817,486,
585,792,150,397,380,873,297,136,656,051,083,161,378,211,727,469,832,197,683,
628,388,523,958,825,587,507,591,606,620,464,843,291,957,167,398,235,961,974,
839,481,398,792,459,716,526,669,942,415,091,624,643,643,369,563,508,824,595,
128,431,970,387,136,030,191,960,815,364,293,540,993,232,714,701,672,992,447,
975,516,170,532,767,742,674,130,014,722,811,100,760,726,764,800,046,811,262,
976,227,452,502,832,813,498,750,242,040,249,213,566,325,415,630,900,695,216,
491,702,146,323,277,477,188,781,831,573,141,158,709,624,695,344,620,566,575,
508,000,023,602,677,303,487,630,138,169,469,693,444,652,824,157,386,952,666,
949,363,339,417,298,898,780,765,455,308,433,996,074,842,370,256,452,467,654,
006,311,600,810,441,692,157,579,765,937,463,138,983,895,079,602,472,375,934,
721,926,986,936,030,784,082,583,579,797,579,097,817,402,118,932,854,722,837,
260,009,034,183,868,584,223,238,966,546,689,625,920,307,827,127,080,279,388,
381,371,761,711,432,108,587,456,140,571,382,073,962,711,139,489,361,443,779,
979,803,556,116,236,337,669,517,443,110,217,755,795,977,639,777,236,828,924,
387,300,525,200,826,272,211,544,706,075,432,135,650,486,573,514,059,487,475,
896,782,602,205,692,297,863,331,252,291,435,846,374,401,109,402,363,134,824,
837,330,030,311,771,080,209,367,965,535,677,272,222,917,911,986,224,270,828,
804,920,159,154,465,163,563,269,157,876,346,334,135,188,583,084,287,507,084,
423,266,976,337,746,718,906,338,239,031,645,853,208,649,959,826,518,032,564,
052,246,443,665,424,115,221,560,360,958,741,856,888,458,171,166,772,985,570,
808,594,287,280,208,063,175,796,429,028,291,782,692,436,622,550,120,969,491,
276,063,989,721,339,611,985,756,421,993,932,004,684,217,362,761,331,659,209,
805,302,262,047,523,905,552,727,211,457,535,267,348,401,128,050,946,185,747,
430,526,652,361,987,696,797,323,940,678,072,376,618,156,193,946,204,029,553,
417,780,952,057,171,922,159,550,063,397,416,042,842,298,440,173,295,109,534,
627,356,376,557,609,767,263,620,578,751,531,954,222,853,291,802,821,697,323,
067,707,261,185,836,524,317,826,574,043,356,167,957,509,664,866,440,740,452,
816,598,311,142,620,204,651,578,096,313,134,979,478,362,142,708,787,417,090,
595,849,076,084,833,139,961,680,650,984,425,859,277,584,442,902,834,355,079,
065,663,857,009,653,527,447,509,575,094,778,310,698,903,208,405,429,430,030,
490,191,203,305,332,546,231,726,439,025,729,580,125,131,969,624,119,858,610,
859,353,438,342,067,357,201,631,948,225,323,112,021,096,021,066,627,926,109,
733,141,874,702,491,271,322,928,171,626,433,168,523,563,912,503,489,711,392,
137,886,211,982,949,781,132,255,593,215,167,574,156,994,323,453,483,784,188,
721,768,413,482,230,382,511,981,533,668,604,023,007,367,134,559,817,173,757,
008,361,012,243,786,229,098,323,121,105,766,844,978,752,414,165,334,082,596,
782,794,786,701,412,306,595,143,681,653,467,548,320,844,544,258,389,885,784,
760,124,576,639,509,953,852,495,371,487,417,391,179,612,629,875,245,869,518,
063,222,805,564,793,440,320,868,605,150,404,803,260,348,033,562,752,694,118,
118,049,976,841,723,986,875,462,096,584,961,432,863,574,627,766,775,595,623,
663,202,085,939,476,272,015,288,590,649,068,689,501,852,248,845,981,122,208,
256,213,370,015,799,026,344,447,265,591,473,134,151,057,700,271,892,797,693,
811,423,217,312,096,178,000,703,296,791,498,008,548,011,253,093,197,271,776,
228,618,749,788,883,956,804,574,628,011,508,243,742,486,104,440,788,020,784,
234,977,308,589,388,614,135,888,780,286,622,947,141,745,823,498,723,932,414,
315,371,298,787,848,090,039,038,084,867,350,820,701,718,143,888,775,914,372,
927,662,182,008,712,847,167,963,556,835,022,261,831,273,339,785,528,130,695,
384,098,781,976,987,968,861,980,617,960,076,227,608,748,524,494,301,431,971,
802,230,642,557,921,511,427,595,413,754,446,658,705,936,605,817,252,647,131,
419,196,730,791,932,064,826,902,149,362,505,372,480,322,099,051,293,017,564,
315,344,552,023,712,509,633,823,088,820,207,473,844,490,553,156,789,844,078,
674,983,150,390,349,857,109,194,409,361,011,536,021,853,335,896,483,811,289,
675,160,285,842,615,358,637,018,585,765,872,529,913,185,863,758,473,193,891,
470,046,976,940,088,695,995,074,518,879,332,230,315,642,415,241,937,528,383,
473,443,013,511,523,426,193,433,292,718,553,589,887,378,329,905,003,560,458,
366,396,322,914,333,452,213,865,186,080,999,164,945,408,214,479,089,785,484,
678,642,467,605,608,467,888,430,524,673,321,819,422,729,464,167,435,812,892,
643,351,056,405,615,761,043,636,166,192,587,502,247,471,888,445,508,861,233,
131,853,939,622,509,393,779,977,283,046,638,578,498,310,525,659,151,394,864,
456,287,221,063,123,236,639,461,941,671,518,067,772,765,453,585,204,695,042,
692,586,852,557,275,746,291,999,156,362,557,167,972,288,889,058,014,781,445,
790,339,545,178,672,099,458,701,452,658,336,144,468,888,688,550,121,706,129,
008,134,719,048,108,718,436,860,450,567,764,497,414,056,745,730,702,871,249,
173,501,039,602,678,245,258,386,534,443,604,101,995,762,547,677,126,805,037,
823,318,620,176,651,353,869,182,792,739,051,797,894,903,452,341,905,387,566,
132,811,109,829,145,632,538,170,098,192,533,145,245,915,869,190,863,100,009,
120,178,970,512,471,617,602,005,570,854,203,069,201,448,756,326,221,778,944,
570,446,390,052,141,699,889,733,670,623,648,957,758,790,599,224,817,677,815,
938,579,049,398,500,203,706,379,336,370,397,947,070,814,145,327,417,070,950,
580,925,184,667,613,552,947,668,082,093,937,300,265,941,876,498,779,216,067,
110,506,638,136,403,436,864,417,705,652,964,370,854,032,251,278,192,360,543,
456,687,630,987,432,076,471,369,919,858,151,215,854,294,864,092,479,377,304,
389,314,615,736,747,947,834,183,311,996,643,340,896,234,347,731,499,678,311,
847,595,996,999,515,375,809,123,655,649,156,536,693,381,285,085,169,006,364,
606,615,585,108,017,476,511,391,510,176,297,224,998,848,627,134,989,276,992,
682,588,722,175,441,001,805,723,034,318,724,084,382,919,567,643,220,382,818,
124,631,783,712,021,240,228,992,334,324,153,259,458,450,487,624,381,362,065,
203,575,019,099,229,705,722,948,711,523,361,464,632,532,688,816,324,942,837,
217,280,107,581,718,386,916,490,652,287,603,425,960,584,582,622,620,412,302,
849,263,667,518,653,269,481,066,763,708,333,251,250,657,604,557,846,385,732,
258,356,685,557,252,978,929,959,786,617,968,614,217,825,252,727,089,810,475,
726,567,689,335,046,560,667,736,153,104,359,558,404,823,659,028,460,646,713,
909,773,219,374,846,572,160,140,499,454,885,251,377,128,872,928,008,280,062,
610,395,505,331,291,854,643,052,908,442,222,390,671,583,673,432,056,557,159,
905,430,898,320,067,282,185,499,193,124,740,728,146,866,403,708,117,593,356,
310,896,413,635,427,121,256,400,360,786,083,782,424,703,599,298,104,579,833,
744,817,225,534,858,051,659,167,118,347,394,212,202,624,533,534,331,125,626,
783,077,321,982,478,851,001,543,686,736,123,020,041,780,938,303,915,763,917,
703,865,983,455,131,412,671,983,706,433,441,868,293,149,863,941,457,455,090,
411,088,444,792,831,356,259,605,987,509,471,375,420,776,464,577,218,994,282,
354,165,787,587,755,752,856,328,124,449,685,669,079,179,565,564,960,768,403,
351,890,329,421,923,670,775,888,010,399,501,596,534,115,763,886,510,810,153,
918,697,586,946,376,372,927,497,214,782,626,194,330,908,782,880,305,671,889,
660,397,714,583,153,942,305,824,162,106,583,040,656,332,415,267,006,988,567,
043,672,244,104,488,044,766,485,922,964,150,590,575,948,461,164,247,351,445,
960,495,985,740,801,823,866,617,016,445,765,840,620,511,365,041,828,874,347,
681,900,409,659,747,430,892,693,267,295,079,353,832,044,114,441,665,774,608,
286,379,925,741,138,210,254,085,799,237,603,175,075,562,987,877,415,923,273,
320,121,207,398,128,966,853,095,613,607,845,251,634,966,493,959,760,777,256,
235,294,455,667,818,019,781,869,349,661,724,274,010,565,978,555,666,247,889,
443,822,119,061,377,293,627,649,334,244,111,744,464,070,464,167,905,260,364,
662,322,883,390,146,535,894,919,926,760,727,128,512,728,140,918,123,811,052,
691,226,334,713,332,383,876,256,864,019,972,762,040,932,544,135,442,021,250,
096,533,595,808,422,306,472,455,543,924,919,220,865,237,379,049,900,458,743,
097,239,149,922,808,447,951,939,892,330,839,562,878,586,572,888,332,431,974,
520,683,098,847,827,093,386,017,122,806,792,444,799,233,732,453,062,157,383,
103,457,196,574,004,604,359,273,534,547,807,133,310,217,145,342,552,118,906,
893,967,428,582,043,493,289,735,392,223,829,709,161,414,115,160,784,625,812,
315,757,257,292,485,328,906,751,109,196,127,517,185,782,014,750,102,952,799,
126,065,226,466,942,208,797,228,369,476,816,224,948,080,485,860,876,678,794,
889,410,801,726,465,297,377,231,675,267,747,419,611,803,041,274,456,301,359,
886,337,490,968,633,755,093,090,658,955,237,826,991,335,348,860,767,418,845,
613,050,768,932,448,324,898,607,972,019,918,987,345,631,259,196,305,690,615,
899,920,319,909,101,301,465,441,957,757,755,833,720,620,409,090,375,173,115,
052,586,722,532,073,580,074,847,633,356,400,278,304,314,192,094,359,243,698,
969,607,877,007,372,724,628,124,558,224,829,729,753,556,009,369,387,764,903,
057,435,865,504,645,976,103,484,599,889,817,389,757,870,116,960,009,880,000,
241,899,888,630,497,681,987,980,593,574,780,662,314,418,896,106,064,886,321,
927,090,301,410,084,402,308,387,408,111,765,701,464,986,400,640,463,897,744,
200,078,681,405,209,632,369,824,770,504,331,458,565,769,983,671,183,188,361,
760,720,404,258,703,244,767,204,531,977,322,703,297,461,611,058,381,280,239,
139,682,210,562,915,565,547,511,751,007,702,505,513,921,898,713,381,918,971,
620,089,319,221,713,497,680,057,604,240,458,372,097,938,366,920,362,841,846,
581,043,062,482,032,279,887,501,296,076,316,053,187,040,381,078,863,436,422,
846,500,599,277,191,624,492,248,444,786,870,765,950,033,388,581,640,365,810,
309,820,931,127,372,408,382,226,424,463,720,521,145,882,237,121,984,657,939,
139,746,936,663,469,463,592,443,137,220,307,032,025,004,130,558,501,104,441,
125,107,482,471,046,879,030,753,153,336,729,632,429,392,353,701,538,697,817,
290,446,604,473,210,550,018,771,086,613,155,742,344,955,267,035,906,043,671,
062,038,487,168,606,163,665,470,004,092,219,084,290,444,986,854,344,584,852,
450,863,523,269,348,052,157,716,044,089,931,227,083,948,468,024,638,241,142,
013,990,013,886,871,707,078,400,486,813,141,089,262,418,185,965,313,077,647,
853,002,516,950,452,974,147,407,520,061,421,066,063,479,619,836,855,977,562,
710,759,405,357,524,257,157,507,687,980,116,331,477,410,883,768,268,556,619,
076,695,895,460,317,919,787,682,107,544,444,946,558,393,812,022,243,565,636,
504,020,085,118,540,342,611,696,116,233,949,873,849,072,342,951,281,457,423,
675,873,604,797,496,427,323,945,717,520,090,142,953,404,352,394,077,166,329,
236,131,475,795,577,664,216,564,769,672,582,447,439,902,044,683,031,186,198,
510,273,547,883,220,462,998,506,153,882,099,874,669,890,434,477,635,068,927,
598,352,647,963,864,555,876,741,496,084,555,702,182,574,573,917,787,450,213,
321,797,127,395,380,364,359,609,418,739,233,618,175,570,031,179,003,944,283,
691,519,821,282,759,311,524,092,062,946,949,845,916,961,198,400,980,845,102,
449,879,692,272,369,343,186,095,634,658,008,894,816,470,759,043,627,335,594,
786,471,939,798,568,753,453,204,358,417,432,679,167,945,109,686,627,920,980,
231,831,149,426,641,773,402,541,146,391,944,060,806,079,199,557,481,019,108,
031,438,113,851,517,607,128,083,990,493,524,678,522,536,054,451,066,808,277,
625,465,338,306,128,820,339,003,633,354,262,640,868,754,596,760,137,444,866,
389,549,835,082,818,538,581,400,392,507,803,511,600,772,762,302,778,937,742,
284,791,125,705,901,468,136,619,041,602,050,452,758,277,175,162,299,469,199,
344,717,438,986,329,175,826,447,369,072,202,122,332,765,401,706,433,523,878,
894,344,037,907,800,816,447,169,440,951,798,044,662,723,475,883,842,508,701,
197,260,046,644,554,526,998,983,164,684,054,484,937,669,688,584,072,301,402,
322,655,203,339,215,939,363,972,455,863,127,857,524,627,752,419,121,251,677,
926,002,135,769,434,079,181,405,701,090,660,702,173,987,077,788,099,227,303,
163,938,991,479,433,272,019,910,308,450,097,415,895,296,218,117,378,550,592,
438,499,306,186,703,787,110,842,881,795,135,378,195,182,185,493,661,023,847,
312,887,237,090,015,464,853,967,882,590,121,703,019,524,697,117,290,297,862,
173,479,402,601,806,485,247,474,427,735,767,997,862,943,875,702,407,532,850,
983,181,688,279,976,656,126,252,197,528,145,218,622,855,187,060,154,037,262,
307,761,044,331,001,333,852,537,298,177,033,127,234,838,024,568,141,765,705,
668,513,470,106,027,280,055,679,775,123,899,878,481,403,622,114,404,839,430,
701,993,411,262,441,790,592,152,083,076,660,208,395,656,850,365,269,710,135,
230,513,730,222,102,212,403,629,481,017,804,999,319,959,580,831,765,135,870,
715,295,442,537,627,399,241,639,405,154,292,846,906,344,949,410,491,647,793,
281,131,714,512,106,504,438,883,492,804,827,983,736,031,358,140,824,218,322,
695,471,722,108,702,419,791,067,159,033,299,538,091,704,210,326,878,062,497,
413,315,211,980,492,917,914,526,040,702,992,775,667,409,481,403,062,982,769,
467,776,841,414,430,914,229,957,063,856,386,594,326,765,871,885,170,255,361,
448,079,151,977,546,577,476,338,640,256,876,725,323,206,086,642,535,471,870,
598,153,068,493,471,212,945,659,717,095,815,183,209,301,920,694,902,995,911,
776,385,269,013,910,468,554,746,330,622,971,132,218,398,339,717,946,534,994,
734,769,457,812,998,240,247,756,726,909,289,639,468,010,467,285,913,993,328,
214,432,195,579,687,311,876,496,660,704,646,155,215,976,645,371,689,882,029,
211,996,536,422,343,141,041,108,993,803,223,233,797,096,865,042,912,740,886,
722,609,413,464,531,839,243,061,094,116,918,277,915,499,066,324,529,918,472,
633,661,734,490,228,491,623,307,092,461,450,990,158,831,009,432,028,140,514,
842,072,915,823,660,204,815,895,174,330,451,300,949,087,484,490,821,610,349,
903,067,743,019,987,831,805,566,862,204,626,148,602,870,417,664,349,853,591,
180,981,468,423,233,759,444,989,766,711,491,498,559,421,224,664,223,975,167,
277,352,227,276,640,037,717,309,118,599,851,673,468,029,457,026,665,202,395,
064,906,538,731,693,980,839,586,987,486,123,830,948,940,588,050,392,069,755,
643,466,796,838,911,994,037,432,219,646,283,343,249,975,936,862,772,999,587,
455,468,243,389,299,467,331,422,588,943,939,319,055,509,160,624,827,066,519,
789,961,651,627,194,589,898,905,235,034,054,868,399,945,540,557,953,675,054,
307,183,761,101,377,997,835,203,099,822,938,685,323,715,821,072,141,327,152,
742,214,733,881,380,143,931,251,155,791,459,851,687,604,058,121,931,660,037,
233,918,331,562,505,566,749,378,542,473,713,909,680,540,531,362,920,814,659,
957,224,985,772,320,783,837,160,819,652,374,599,685,202,737,548,497,782,915,
343,350,093,993,503,881,915,084,016,324,008,982,724,072,502,624,995,018,494,
252,675,261,620,473,486,326,091,870,651,180,718,827,879,465,371,390,007,716,
951,303,254,148,976,718,680,312,551,664,693,969,159,897,489,992,820,068,554,
629,804,358,879,303,239,395,715,182,404,599,759,175,506,133,190,416,002,688,
268,813,152,269,992,738,107,064,578,226,204,936,445,585,778,419,518,723,888,
837,071,335,518,529,765,172,567,008,702,948,208,334,090,776,689,643,757,311,
057,426,179,722,481,120,411,248,059,227,316,029,146,869,591,982,919,420,546,
111,420,350,468,105,181,890,975,995,004,375,482,758,944,750,907,843,172,712,
640,334,889,169,385,899,768,072,117,031,779,513,794,693,971,255,768,236,359,
392,535,115,171,040,412,846,609,595,467,537,120,358,871,638,360,280,499,529,
284,083,928,839,340,072,588,998,710,161,820,135,572,187,210,852,245,770,392,
019,414,729,771,760,295,125,256,971,168,576,255,916,141,006,174,281,034,280,
396,794,694,549,018,005,696,969,687,994,271,537,439,013,018,402,537,287,446,
153,313,072,220,227,749,901,451,994,337,188,786,112,683,039,868,654,225,436,
106,790,990,459,314,617,018,319,377,168,323,504,379,965,381,689,288,585,896,
162,164,639,356,110,704,754,272,960,555,882,805,847,782,914,899,860,869,224,
782,040,475,154,849,283,149,677,663,662,740,361,853,924,032,128,340,294,185,
507,068,211,746,457,087,036,164,590,560,663,868,159,519,881,252,781,967,564,
057,595,589,954,838,674,083,514,486,577,276,017,484,772,919,040,467,818,709,
106,248,835,814,324,599,427,305,875,932,475,236,159,831,933,246,379,581,471,
016,884,016,304,151,103,302,637,170,649,330,805,537,226,874,969,539,143,096,
656,390,101,702,790,414,772,804,164,761,825,335,009,000,637,810,219,818,686,
653,488,374,372,288,016,282,831,105,062,740,819,643,525,244,214,147,244,074,
848,315,092,071,406,269,640,627,043,102,414,303,902,537,899,764,462,698,978,
719,541,005,422,879,205,792,420,078,632,162,825,120,936,930,005,030,541,899,
976,028,964,949,847,954,109,944,133,576,355,403,952,002,820,141,485,338,439,
012,076,602,119,645,991,414,585,054,509,903,661,641,572,094,214,035,837,273,
959,784,839,267,181,143,455,290,153,081,129,807,378,963,966,743,309,582,705,
811,983,759,040,143,641,254,030,245,783,127,097,046,001,096,631,994,116,951,
420,971,668,484,791,883,331,099,841,465,665,782,962,291,940,877,538,028,032,
534,136,923,365,404,263,591,447,167,062,914,449,230,063,091,586,992,815,642,
785,596,588,495,326,804,261,571,431,516,733,673,155,270,708,143,844,832,802,
956,304,989,918,616,340,757,910,664,455,202,983,341,518,721,326,136,424,708,
746,101,942,074,284,864,680,220,550,030,655,239,021,412,829,337,193,890,601,
664,124,277,301,596,680,213,952,973,401,183,948,126,850,989,708,690,012,401,
772,516,734,118,807,246,796,728,484,275,813,762,163,823,211,529,863,404,046,
762,197,246,827,813,250,196,362,736,217,538,741,272,312,630,030,942,672,797,
244,422,912,742,259,471,017,774,811,951,721,211,553,082,523,223,916,852,727,
881,373,570,136,070,028,343,149,228,955,727,230,260,110,371,456,050,191,377,
699,393,209,508,654,781,214,005,016,585,135,639,006,233,993,135,105,429,191,
752,730,456,629,059,265,502,513,022,754,752,882,306,983,089,601,204,940,955,
865,579,134,502,243,506,818,969,588,818,010,740,380,541,963,288,507,076,234,
821,207,771,712,131,451,864,538,670,025,767,672,574,223,493,623,713,110,056,
176,144,696,591,199,934,166,046,880,298,278,643,248,916,323,644,619,793,697,
165,277,126,321,693,180,148,036,844,427,145,071,330,928,925,204,655,185,333,
379,438,289,411,265,056,658,260,356,819,489,905,627,546,795,937,039,945,581,
837,039,345,446,130,163,964,454,135,914,325,587,611,110,345,900,569,520,763,
540,915,790,659,061,908,788,920,969,735,087,530,472,794,700,147,885,770,888,
107,445,924,864,229,712,441,129,534,998,074,013,452,653,977,116,105,526,437,
686,034,099,084,022,950,987,377,185,343,896,427,165,326,026,548,806,073,838,
097,960,896,783,705,403,817,210,969,779,481,419,127,970,077,798,592,780,022,
587,803,914,913,019,543,453,051,951,261,081,415,396,635,174,993,856,938,345,
891,615,398,179,403,716,808,744,379,140,773,829,231,774,352,099,824,713,880,
722,983,070,309,833,889,477,004,024,260,127,480,823,742,002,634,550,427,839,
305,099,113,340,404,970,009,552,203,187,118,091,366,169,002,615,465,912,090,
706,668,563,996,819,942,736,221,406,223,343,892,915,140,224,034,776,665,964,
691,974,787,525,622,560,818,014,900,762,643,224,864,883,673,646,020,174,286,
462,106,922,325,990,831,421,589,206,208,493,557,031,857,244,762,131,939,397,
931,232,873,553,992,381,476,801,157,931,783,570,164,230,288,256,674,877,897,
642,944,650,509,401,145,909,738,299,283,004,917,922,013,828,599,461,435,965,
517,598,932,137,038,914,152,385,278,959,679,846,674,651,465,985,324,482,674,
874,047,976,658,866,886,850,436,374,368,388,829,311,806,331,895,817,223,846,
530,079,609,283,937,363,037,824,685,510,777,062,495,157,263,885,648,253,470,
460,795,935,003,412,096,254,961,598,460,489,831,623,707,228,566,571,040,832,
483,879,637,742,694,308,375,790,854,860,699,290,029,926,920,640,896,035,397,
704,009,483,568,800,057,745,327,687,325,156,963,389,878,303,839,376,723,397,
323,259,469,639,746,603,351,208,292,925,300,793,498,409,468,741,493,098,810,
243,201,059,367,714,116,191,154,043,455,690,437,863,856,006,120,621,149,810,
192,137,039,035,802,385,266,234,933,122,983,917,439,222,774,953,107,894,326,
334,427,116,426,776,148,736,211,928,635,534,511,840,322,926,581,849,862,349,
741,634,412,322,191,387,766,185,697,112,763,456,603,929,610,099,139,270,098,
479,587,491,312,057,351,489,435,892,136,493,860,476,267,293,116,167,479,696,
635,405,447,823,655,866,326,512,075,477,198,375,786,637,920,945,387,956,135,
142,219,567,761,141,307,513,704,221,262,329,695,915,549,727,557,468,027,533,
776,674,868,127,012,664,865,898,834,402,942,453,601,737,637,884,895,478,812,
647,214,208,235,126,348,037,691,082,021,676,205,922,023,912,960,533,332,278,
299,671,663,468,762,948,864,827,210,774,716,159,253,659,195,820,859,797,583,
607,247,378,086,812,136,530,653,066,559,825,157,000,236,616,958,714,357,203,
004,065,704,439,014,975,775,641,374,449,078,277,651,845,700,675,745,222,827,
203,582,938,750,005,457,808,885,449,311,389,303,984,833,006,817,264,399,706,
105,066,908,833,454,573,277,330,835,863,681,981,274,647,221,322,726,573,011,
351,978,664,781,262,487,928,677,496,015,921,188,009,320,592,800,430,836,803,
821,268,147,199,677,125,610,418,155,899,635,614,345,357,660,165,332,606,375,
188,580,213,084,910,578,202,694,324,521,206,035,291,194,308,605,023,375,529,
004,770,462,688,172,174,088,708,021,175,656,834,255,459,584,164,027,247,541,
745,340,367,876,557,349,765,243,812,330,135,030,734,845,014,534,810,986,434,
464,445,744,308,560,551,513,108,333,203,466,986,916,141,693,109,427,262,400,
922,339,719,475,507,871,802,514,238,390,686,160,014,010,604,177,395,148,658,
093,357,167,858,803,821,287,414,605,808,257,495,482,350,787,221,321,363,849,
017,626,081,401,060,652,989,555,690,200,315,578,567,611,221,127,065,886,668,
890,821,581,673,808,849,952,177,385,933,615,540,546,977,909,331,669,484,967,
825,651,467,716,852,871,767,265,809,000,772,282,688,226,115,760,419,711,770,
522,375,723,666,343,521,208,542,493,181,761,605,348,903,304,682,755,091,773,
682,857,313,215,470,158,268,890,139,018,478,049,709,877,162,329,825,795,952,
551,379,467,280,836,356,012,888,638,645,699,609,536,534,449,350,468,161,128,
642,970,225,966,406,826,494,375,146,392,717,188,920,892,003,455,687,949,068,
946,905,469,120,378,883,666,509,120,755,306,464,805,788,173,559,859,589,134,
697,957,970,225,060,635,202,480,539,243,596,939,659,170,548,486,898,242,874,
728,238,484,803,970,366,758,577,324,618,991,991,026,152,323,053,718,708,612,
015,634,561,310,433,114,260,227,396,988,514,805,659,506,338,597,997,560,756,
009,271,018,120,140,335,440,448,883,844,525,316,651,545,387,538,923,743,765,
641,098,835,355,389,073,209,953,760,657,446,668,264,233,283,322,606,766,837,
640,511,259,215,658,150,338,042,683,925,055,047,936,965,992,120,069,722,964,
657,362,264,752,381,364,508,772,901,359,089,224,298,655,994,445,497,183,736,
146,958,585,469,415,607,879,345,282,965,072,695,497,971,882,493,911,549,137,
366,443,334,435,200,339,530,634,455,609,466,666,259,175,139,211,722,910,377,
802,887,914,889,458,344,988,066,885,624,649,944,527,441,937,288,294,916,431,
114,326,921,039,105,833,765,205,324,248,203,862,482,387,179,971,022,254,484,
341,756,183,704,248,921,089,860,197,636,260,742,433,726,591,352,194,036,828,
315,664,014,595,613,228,727,115,244,560,295,820,273,675,179,365,678,400,962,
983,043,446,611,345,388,987,710,478,521,421,455,543,200,009,618,493,825,806,
322,299,117,803,320,935,899,947,831,184,959,450,488,655,067,037,198,349,601,
914,285,564,501,545,844,977,030,075,942,910,314,107,911,360,504,899,730,861,
356,372,231,342,414,048,383,858,338,460,309,467,233,618,665,976,368,503,366,
015,290,258,888,097,278,810,760,604,681,668,093,805,744,482,558,184,708,345,
054,694,475,033,651,079,186,304,628,447,299,464,933,734,491,554,491,098,925,
993,465,585,538,047,811,208,385,587,142,282,937,212,768,694,356,578,752,064,
439,173,142,986,085,195,570,635,047,048,188,778,061,674,778,571,901,727,672,
624,990,491,480,318,286,896,387,185,767,782,913,735,023,036,251,633,680,971,
519,871,420,160,326,996,376,665,759,816,488,615,864,658,755,590,708,917,632,
780,027,587,301,729,593,924,962,061,932,823,175,739,915,527,883,227,546,028,
298,329,927,976,170,274,930,460,791,664,221,611,010,821,097,463,607,253,539,
315,203,248,525,291,773,120,266,911,437,542,021,509,823,115,576,909,876,676,
466,767,723,377,232,311,540,823,674,955,426,461,998,650,426,589,778,723,100,
846,288,701,027,254,988,385,143,777,773,486,754,351,065,644,174,250,861,708,
603,405,286,934,660,286,414,389,444,089,277,130,843,923,521,269,613,994,053,
526,785,938,986,862,335,377,003,276,330,235,666,316,633,957,030,323,806,079,
490,089,057,333,492,894,459,501,247,258,498,715,090,713,741,238,829,511,025,
671,536,368,979,532,972,906,543,828,841,871,559,395,754,446,090,095,535,798,
124,579,159,027,733,439,020,348,905,984,422,495,731,918,216,376,247,523,297,
964,395,821,797,332,323,589,970,838,544,725,810,289,752,756,841,598,791,135,
716,672,599,528,243,097,900,926,596,993,990,616,283,985,839,358,028,854,611,
957,788,514,426,181,726,934,304,594,038,509,139,870,517,391,817,169,869,977,
288,958,188,032,701,674,377,674,158,426,749,051,866,627,932,797,684,453,795,
485,083,111,336,380,829,286,373,070,591,901,271,159,738,301,401,054,521,359,
577,006,757,688,691,726,211,456,723,016,529,793,735,014,655,384,187,510,346,
860,959,935,142,897,897,826,401,982,567,540,792,509,413,853,746,875,599,406,
882,108,573,321,013,807,474,618,415,558,908,502,371,289,661,339,013,807,996,
003,516,630,200,311,404,409,791,634,925,113,915,850,438,327,145,019,632,465,
263,638,631,046,435,918,702,509,314,254,267,914,583,568,755,874,751,144,762,
845,948,256,113,228,377,538,009,420,259,089,312,040,196,226,037,959,890,413,
533,296,286,481,745,482,347,830,326,839,070,613,526,387,097,329,285,058,174,
852,368,424,415,923,359,112,391,051,620,897,291,420,110,008,660,491,608,821,
001,375,800,215,845,872,543,543,050,801,265,515,230,691,684,909,995,340,108,
768,920,859,523,122,987,118,345,079,213,765,545,432,531,745,961,662,554,651,
329,246,969,105,373,379,661,496,180,248,952,829,907,955,050,685,990,931,741,
512,421,090,474,914,814,012,527,963,250,590,662,287,207,043,023,360,406,354,
019,614,186,350,489,068,884,086,550,464,493,692,456,759,049,434,209,513,711,
969,830,956,724,616,500,257,687,889,022,476,520,190,333,122,161,206,177,046,
768,642,257,845,516,404,333,817,958,808,283,648,324,951,653,804,489,402,828,
026,909,923,756,409,983,215,203,057,248,519,882,901,602,505,549,947,035,191,
153,639,072,898,299,385,174,474,160,181,847,846,379,457,609,158,721,898,532,
323,452,291,330,206,208,512,075,334,962,726,945,873,027,534,802,363,978,284,
640,786,592,146,725,536,858,270,884,977,859,498,975,427,201,021,679,143,084,
646,154,893,620,832,304,104,483,277,872,500,669,026,646,975,205,175,768,898,
384,584,317,889,345,379,096,080,073,428,727,554,416,499,532,274,573,050,486,
157,026,251,534,939,821,604,555,592,641,783,797,934,483,508,702,544,843,616,
213,851,796,960,615,763,259,571,142,293,446,669,774,183,620,950,628,686,051,
420,278,085,483,274,967,859,897,664,154,419,180,514,089,998,178,688,283,024,
171,333,570,694,274,540,467,590,839,372,924,756,071,022,813,397,695,758,120,
305,117,644,058,513,017,100,215,274,573,255,810,610,031,962,145,922,225,375,
629,721,364,261,250,879,865,417,568,579,298,429,502,830,762,310,038,284,834,
687,126,588,156,122,433,350,669,039,893,175,356,598,251,017,312,357,486,658,
961,375,968,070,740,296,413,707,729,889,878,495,514,175,117,370,599,625,716,
653,501,011,992,560,194,129,986,757,928,091,906,800,695,244,154,366,876,475,
703,250,760,280,641,119,621,403,643,546,714,962,988,694,665,730,359,708,890,
158,178,770,455,101,009,735,687,007,399,460,658,575,349,820,492,469,644,997,
927,977,792,728,618,235,115,071,338,717,764,778,234,034,018,938,556,006,771,
516,067,157,523,238,006,411,335,911,347,389,312,443,090,421,227,040,770,425,
585,912,240,381,811,995,046,504,445,415,382,757,820,509,725,899,486,635,140,
570,296,178,189,457,929,324,995,579,415,890,302,409,466,518,871,385,383,866,
613,748,335,907,406,208,077,151,598,301,440,042,781,800,426,867,094,482,280,
296,126,363,468,795,531,471,687,680,088,028,396,510,054,568,046,375,234,964,
713,547,176,216,709,371,718,140,395,601,959,468,387,908,567,421,419,463,114,
017,513,960,239,322,866,770,343,048,773,322,825,066,640,288,295,131,235,811,
760,683,763,805,076,511,406,785,104,147,627,453,988,150,589,278,706,084,576,
411,059,654,175,531,452,530,713,697,504,264,458,307,329,996,101,767,451,342,
872,881,640,938,571,120,029,603,994,156,076,356,611,749,669,250,332,837,317,
016,656,947,375,138,136,522,364,706,804,775,689,124,055,984,964,628,112,059,
091,154,508,247,683,835,934,307,422,682,138,716,884,422,740,167,903,242,933,
547,887,374,812,242,664,735,584,739,016,788,949,000,616,126,660,966,535,404,
106,639,222,724,677,182,059,661,740,743,156,361,536,009,431,775,977,589,075,
090,855,788,319,067,941,972,995,243,090,449,491,440,372,888,248,214,601,989,
395,338,480,927,407,806,437,209,254,111,054,311,120,020,459,515,272,706,925,
121,803,192,914,099,380,288,403,824,562,127,711,429,308,556,211,089,618,325,
529,957,976,490,795,953,628,055,602,961,410,053,566,315,257,369,447,420,814,
266,631,412,558,650,036,280,690,245,708,577,826,119,408,628,473,169,555,681,
409,518,493,149,459,392,659,382,006,149,923,133,314,222,803,131,586,750,203,
173,951,290,403,183,746,708,904,270,467,343,061,263,386,200,542,522,128,730,
002,288,970,991,188,581,289,063,083,312,226,277,247,201,456,697,890,202,118,
480,322,772,215,090,128,050,179,294,565,272,161,249,082,105,435,313,288,700,
865,722,405,853,885,216,223,373,144,868,686,628,439,861,354,274,594,496,294,
422,517,439,214,627,412,702,073,410,824,725,613,336,160,561,194,164,559,158,
296,853,603,322,527,126,477,259,626,156,906,807,320,646,931,478,464,536,937,
615,412,291,247,614,713,458,982,635,745,244,139,511,126,356,125,191,774,370,
885,261,473,097,525,861,409,262,783,323,002,190,779,056,697,653,709,421,958,
504,165,498,511,752,254,604,535,197,995,382,457,791,470,419,074,009,166,728,
919,728,173,009,859,924,713,616,759,469,316,571,479,874,729,503,527,630,053,
028,296,870,392,746,275,154,132,091,589,746,403,372,266,733,599,307,248,374,
589,683,748,281,495,679,733,339,693,467,178,948,065,236,416,289,438,307,385,
573,090,955,156,250,777,301,330,365,924,651,842,786,780,708,781,402,304,371,
160,607,681,594,563,395,497,801,917,314,069,409,701,308,533,583,528,752,361,
627,141,128,658,923,624,349,574,531,486,472,211,986,905,865,747,161,041,348,
537,683,281,870,165,411,230,111,155,722,935,821,667,704,242,004,658,405,930,
658,844,872,412,562,285,514,915,857,917,121,520,861,651,571,194,855,270,108,
910,800,351,802,869,328,085,274,403,848,128,757,759,043,847,417,427,158,740,
023,915,461,627,123,252,669,713,927,289,585,115,081,749,368,635,521,194,815,
301,190,076,777,360,320,791,850,016,544,258,618,528,659,734,004,028,373,094,
828,309,696,723,999,323,077,344,830,991,010,844,811,492,152,287,209,502,857,
741,993,050,720,301,922,875,633,956,197,470,873,968,597,080,412,563,527,973,
599,120,607,249,206,682,544,298,342,118,906,051,825,608,269,439,040,047,950,
213,903,084,201,423,946,580,253,766,962,083,924,894,702,501,697,051,682,668,
231,995,786,506,564,847,539,609,885,563,359,648,469,686,509,179,715,654,161,
027,021,335,414,525,748,300,257,413,792,343,466,351,287,254,565,041,193,482,
193,001,491,183,867,850,964,995,129,811,389,522,531,626,810,367,730,935,836,
660,842,724,976,383,169,858,515,190,683,192,815,359,223,327,534,714,506,080,
160,563,160,042,034,272,794,570,367,511,478,792,544,952,187,397,848,212,148,
522,883,811,532,131,856,005,236,833,301,856,106,068,477,874,518,907,019,402,
229,572,197,784,372,391,606,017,590,895,104,042,916,895,920,624,703,654,939,
904,214,281,503,676,322,869,370,148,356,762,100,508,194,489,304,753,570,719,
429,502,771,719,951,243,709,335,078,444,036,372,761,194,556,471,491,260,944,
693,799,073,779,972,660,101,301,550,336,311,369,890,175,326,497,737,916,520,
592,059,118,232,744,620,479,710,942,350,068,432,087,800,123,937,680,307,036,
727,525,971,485,456,749,562,059,542,105,849,107,701,248,281,268,729,722,856,
301,342,855,346,284,179,171,553,167,103,218,028,838,675,621,828,435,088,056,
796,313,301,824,743,763,733,874,538,780,766,465,768,944,317,498,143,796,491,
980,062,955,126,937,511,654,919,372,029,027,680,638,546,031,952,128,149,293,
331,667,133,607,894,876,576,314,471,925,648,414,548,638,354,062,551,314,665,
854,779,700,245,914,461,530,050,303,021,333,496,563,684,133,888,999,098,877,
213,720,765,904,260,207,161,634,473,671,198,612,357,561,567,053,019,865,899,
355,980,932,548,361,604,330,353,083,937,006,394,956,093,369,128,286,141,357,
442,747,900,072,193,230,094,591,853,222,851,909,165,201,294,676,968,605,991,
179,079,317,651,604,915,797,453,719,752,613,188,757,392,939,896,776,594,335,
404,423,890,398,395,519,565,376,843,144,257,163,290,586,315,970,895,707,403,
752,922,842,925,710,688,786,627,535,784,474,295,141,712,480,019,791,824,080,
917,142,002,015,593,675,153,839,668,019,273,363,082,132,808,188,350,119,349,
187,833,463,560,138,333,027,248,668,104,290,532,832,807,617,341,086,592,778,
268,151,063,425,414,555,390,577,753,739,112,834,935,415,650,052,376,283,124,
749,088,948,557,528,262,560,078,492,664,091,182,732,023,832,095,793,629,285,
342,708,487,465,522,808,445,170,221,357,065,015,490,092,462,058,549,744,452,
777,299,317,860,291,705,079,549,923,385,190,492,002,737,518,724,251,124,842,
385,523,034,811,281,867,243,346,017,965,340,472,251,721,018,968,086,902,561,
218,334,163,175,842,885,992,412,556,957,988,925,965,344,087,688,827,515,663,
201,472,853,048,064,743,989,604,807,498,391,022,118,017,295,659,439,199,193,
915,216,357,242,384,111,182,861,126,137,751,252,529,434,440,249,903,111,738,
676,674,867,206,095,194,359,955,201,848,985,232,768,141,682,601,304,482,134,
226,794,769,907,021,395,095,517,071,480,264,913,337,614,683,249,451,582,249,
029,247,832,311,902,581,551,227,400,318,402,641,393,600,623,598,333,895,898,
835,745,763,077,963,039,984,670,523,685,063,542,159,893,028,069,024,524,663,
653,543,660,217,658,054,040,170,073,038,841,810,220,375,951,206,160,344,401,
642,030,360,949,501,776,655,428,244,656,895,893,934,491,257,833,110,676,908,
043,845,324,285,039,370,927,078,514,557,060,469,066,940,405,103,815,545,432,
626,886,188,217,699,302,276,155,426,144,844,742,209,847,557,957,660,636,909,
745,148,545,854,389,250,063,870,358,959,500,779,334,673,014,508,689,763,768,
012,486,873,293,506,116,289,965,968,729,402,608,619,282,575,000,903,952,909,
538,845,842,539,130,956,120,670,217,261,569,088,024,427,034,460,278,268,223,
928,805,001,756,103,408,653,225,810,742,066,954,199,092,972,148,090,422,803,
052,749,450,587,992,403,034,131,508,261,251,372,204,453,769,968,474,964,234,
298,603,590,613,339,097,181,874,569,541,739,799,303,485,389,561,853,189,200,
915,064,723,598,189,264,508,848,048,791,349,614,276,926,200,285,578,766,145,
916,647,281,160,196,198,847,667,211,943,034,502,381,775,277,957,966,026,707,
318,938,639,033,256,435,557,552,229,196,253,158,486,996,773,968,480,625,127,
418,376,025,465,250,017,042,205,234,395,501,964,861,407,946,270,106,185,988,
412,177,096,881,080,839,822,114,495,579,995,543,669,351,631,785,117,839,789,
875,646,013,675,801,457,847,440,845,691,246,978,682,227,734,006,279,368,273,
902,738,898,817,639,212,677,577,454,237,514,988,748,382,026,373,794,145,664,
864,304,056,331,040,952,885,295,618,022,964,170,692,877,003,989,593,107,235,
881,736,814,970,517,055,292,312,807,250,077,767,729,964,405,187,943,521,613,
335,203,308,426,102,276,266,488,123,325,608,679,152,512,481,545,388,062,718,
924,782,569,486,061,050,031,096,166,800,504,416,314,831,056,243,367,665,208,
581,750,853,350,683,203,209,540,432,041,294,136,578,829,795,014,462,265,142,
753,371,776,724,335,448,326,773,259,472,029,192,605,500,102,308,774,386,995,
745,076,794,518,483,188,281,253,432,012,846,058,051,373,044,949,186,298,408,
626,194,525,411,357,417,717,285,897,531,933,189,143,799,537,786,298,386,631,
619,643,211,950,941,129,351,038,796,088,165,160,714,053,956,307,820,705,921,
744,397,914,099,842,421,628,090,577,272,391,322,598,215,389,823,837,240,351,
172,876,235,635,318,332,679,127,622,574,989,877,840,619,164,944,044,420,339,
166,209,038,471,571,316,911,943,575,289,363,688,832,647,370,039,520,096,124,
827,270,927,975,587,427,455,460,475,511,629,697,504,087,935,618,251,484,282,
995,525,633,434,520,558,913,694,097,748,993,331,215,818,328,248,205,023,468,
215,918,907,944,151,105,091,640,818,444,096,934,014,353,879,333,718,777,326,
118,594,889,693,296,790,144,799,782,044,747,615,775,127,907,489,314,179,877,
159,857,074,742,734,627,608,542,509,237,806,923,580,549,902,460,085,229,960,
784,598,583,586,588,781,224,125,710,441,361,715,404,676,053,011,795,212,223,
696,301,755,211,333,636,810,717,724,312,641,146,158,904,450,925,239,763,541,
208,071,057,026,514,452,415,260,202,861,763,612,635,895,284,314,653,764,657,
729,226,932,041,176,600,558,710,774,659,383,901,200,028,109,598,646,123,198,
843,283,637,907,220,452,661,349,169,449,757,064,662,576,787,793,669,692,238,
575,984,497,415,790,369,685,222,324,985,141,705,900,248,087,482,567,659,541,
967,624,430,699,569,358,189,516,332,083,900,198,746,793,903,876,811,520,146,
274,652,642,664,351,255,973,500,780,457,960,676,900,424,438,764,859,536,543,
916,615,282,304,901,674,761,507,234,628,684,574,420,188,058,167,315,693,542,
028,505,523,469,141,393,219,343,843,908,970,147,915,168,244,229,133,106,211,
324,146,044,009,048,408,165,497,053,075,236,681,808,953,488,113,692,040,212,
640,768,506,168,898,314,982,395,890,095,559,717,360,485,560,430,994,396,196,
769,927,811,058,474,035,062,480,605,944,319,385,135,431,170,548,671,230,917,
433,428,134,438,505,663,106,313,697,047,751,053,701,324,303,123,561,744,208,
899,466,933,611,551,833,491,341,424,003,655,720,140,133,862,563,733,938,365,
448,433,180,887,317,526,865,498,618,241,971,271,520,683,369,696,865,713,035,
192,582,466,728,916,920,275,120,461,766,491,769,251,562,322,511,861,290,613,
528,363,742,357,971,442,650,596,197,919,151,997,104,248,753,783,008,055,411,
067,126,687,090,216,804,727,821,729,624,238,909,031,610,600,289,511,837,061,
622,761,602,127,626,711,159,552,753,655,022,726,300,188,545,787,271,465,170,
102,827,409,164,292,982,840,974,498,162,965,781,410,138,531,493,849,714,121,
708,537,639,608,729,121,736,049,941,054,105,983,241,124,000,246,649,363,568,
354,152,231,014,079,331,131,074,320,656,371,041,099,533,143,253,513,239,842,
838,131,492,129,996,610,902,343,777,659,363,011,921,331,908,213,769,610,775,
564,159,965,217,202,930,210,032,814,994,981,901,663,976,670,777,305,459,202,
619,009,722,809,891,945,517,730,930,171,291,357,531,487,054,535,972,517,046,
613,465,548,768,134,073,917,374,072,699,907,296,894,484,154,705,780,174,468,
172,710,298,851,654,435,158,049,934,205,727,451,276,187,014,269,821,093,734,
689,367,482,576,161,429,276,044,671,656,243,122,199,434,426,125,731,838,838,
142,176,195,577,173,393,219,084,921,688,570,517,675,882,593,226,762,201,475,
139,592,939,914,337,910,969,314,514,656,823,553,310,519,890,713,791,511,433,
075,671,926,256,050,229,810,745,518,904,590,443,150,120,289,003,939,379,767,
089,028,370,881,679,240,192,574,557,830,396,184,764,099,137,771,471,236,345,
286,952,815,785,740,756,575,959,244,273,733,358,322,667,415,848,453,849,912,
803,001,526,402,635,857,160,929,398,620,966,429,739,549,390,065,870,034,612,
413,277,259,598,639,364,574,308,576,935,056,212,721,027,687,064,938,097,680,
169,370,948,675,975,409,230,639,931,160,866,715,677,415,668,060,445,690,625,
120,869,047,590,587,251,902,189,873,791,002,588,009,121,954,928,187,230,127,
321,994,653,720,325,938,644,096,946,087,255,746,342,735,722,325,093,883,823,
619,149,633,411,280,399,063,761,839,065,828,499,201,503,575,431,246,532,172,
936,519,444,653,018,813,774,135,117,187,827,539,076,041,497,390,394,520,180,
479,707,976,997,527,837,448,432,268,178,240,723,386,828,620,810,497,645,439,
083,409,486,270,229,451,169,215,796,273,145,615,593,924,196,718,715,534,101,
098,239,228,845,396,055,919,111,259,034,241,046,192,004,872,520,965,826,372,
017,058,698,288,924,662,580,461,375,105,751,753,109,488,134,898,388,708,362,
137,048,505,114,971,848,929,112,389,727,528,823,140,892,404,615,543,722,511,
789,833,183,106,238,675,706,416,699,559,133,885,758,873,645,821,953,673,015,
955,063,247,469,232,188,437,569,115,559,284,723,301,277,038,563,858,915,629,
434,824,639,229,756,469,687,098,373,347,372,239,150,042,732,637,581,930,964,
879,942,029,849,952,384,098,724,305,888,461,852,955,422,975,652,202,983,891,
933,254,403,811,535,521,868,057,401,366,446,654,547,202,145,009,469,249,415,
370,908,835,165,362,581,560,388,954,938,283,150,827,189,661,160,835,863,748,
262,468,431,656,778,360,554,443,449,006,963,841,363,718,892,920,172,666,924,
626,622,338,948,705,782,678,178,883,374,262,359,007,035,776,989,037,895,539,
979,731,260,216,787,285,037,199,185,321,295,375,070,716,825,353,532,902,033,
811,507,910,481,036,608,099,982,980,430,488,972,264,297,445,106,653,318,245,
353,507,600,559,570,361,233,333,387,213,928,133,118,513,747,038,363,964,338,
849,500,294,897,507,959,281,553,731,182,914,519,555,498,920,498,710,778,526,
339,263,052,609,232,707,613,218,796,749,256,596,653,452,378,968,644,162,665,
364,300,967,645,576,163,659,757,895,302,538,880,467,654,575,073,972,796,840,
002,163,761,019,800,889,316,138,586,668,050,461,151,520,869,610,893,690,352,
243,717,041,315,891,002,273,417,767,584,930,076,070,558,836,083,811,492,804,
743,107,930,297,095,424,246,556,434,249,430,066,616,085,901,197,145,369,020,
426,758,927,730,610,155,443,265,282,233,728,805,900,278,886,344,356,746,610,
947,144,910,730,131,839,079,081,713,803,968,729,837,032,526,118,244,837,133,
167,759,275,871,300,196,996,372,755,338,627,812,539,220,455,109,702,970,273,
954,996,316,118,984,280,226,046,594,947,350,835,331,707,629,780,503,779,703,
533,997,289,365,571,902,111,208,902,261,283,591,511,501,958,885,164,398,014,
251,164,947,901,466,640,449,405,142,754,719,333,756,507,730,407,970,840,675,
278,150,856,218,389,734,863,593,791,558,292,111,631,988,287,722,787,966,566,
780,091,190,717,486,262,063,469,150,568,578,618,466,532,405,072,479,850,348,
008,198,050,633,704,977,603,742,843,037,017,351,278,586,883,792,810,174,116,
681,698,057,574,906,957,792,757,740,085,268,251,315,093,406,168,289,422,195,
206,273,773,504,764,571,691,388,971,734,571,314,407,396,145,339,232,362,189,
966,173,452,055,309,379,024,174,564,749,319,958,376,364,627,757,404,702,550,
343,082,776,717,903,082,409,375,728,501,921,491,451,104,689,155,925,480,975,
621,061,274,111,948,216,946,532,765,034,682,523,626,664,702,769,832,187,238,
495,688,749,045,241,854,147,282,476,345,781,377,870,222,756,117,334,305,780,
229,389,657,620,468,050,047,005,263,110,845,936,415,655,460,340,398,701,488,
692,561,177,513,260,617,789,802,033,886,369,904,303,272,079,607,609,756,198,
517,245,525,024,787,654,132,781,608,228,649,567,835,213,832,204,046,108,616,
843,133,197,718,865,323,400,747,648,845,486,525,527,243,761,454,940,791,465,
772,210,556,499,304,848,077,870,174,389,108,881,969,385,736,599,528,576,176,
628,194,500,320,793,893,451,239,383,857,330,255,783,921,526,264,391,041,483,
779,457,437,462,423,592,989,252,530,723,627,660,743,683,543,189,555,947,168,
850,253,613,075,333,073,223,858,843,164,435,762,596,327,637,382,093,115,173,
147,760,766,780,672,817,103,122,595,157,580,827,407,364,375,485,618,068,880,
460,798,859,618,804,816,512,726,482,467,108,740,798,831,033,029,323,561,223,
391,169,504,463,331,854,346,240,241,347,655,791,292,942,707,905,976,189,435,
556,007,141,143,366,735,562,648,525,686,340,955,420,441,095,849,113,159,787,
721,924,496,597,440,690,064,401,217,790,321,347,350,085,708,504,380,954,787,
429,966,289,977,296,579,730,655,394,716,176,187,783,226,581,171,856,179,909,
025,561,139,365,539,149,915,139,737,441,683,321,300,028,749,789,559,503,355,
412,640,352,408,674,960,157,612,082,700,684,535,550,460,659,781,246,314,943,
891,700,052,071,625,798,403,864,289,058,289,946,888,331,059,255,668,958,612,
528,194,627,131,134,454,013,441,825,531,895,146,036,716,619,445,680,736,482,
301,379,280,172,421,153,473,460,427,163,151,921,073,595,040,855,642,467,580,
474,312,241,104,613,047,613,281,519,818,684,788,768,161,068,545,573,598,200,
172,870,861,152,174,989,650,156,288,715,918,780,633,059,745,121,445,485,205,
353,924,845,269,737,081,938,255,139,260,840,578,817,943,742,285,727,889,089,
238,810,941,359,300,541,762,815,047,494,029,896,008,982,823,614,329,811,351,
737,156,136,012,133,450,286,417,453,689,731,576,786,216,553,265,105,170,953,
183,122,555,694,492,527,705,013,057,141,355,545,575,064,688,449,751,271,929,
079,184,922,453,406,164,906,762,412,348,205,415,755,515,009,241,540,959,184,
785,206,963,729,741,426,402,447,184,555,274,758,793,025,264,534,095,589,339,
427,893,947,404,106,804,003,687,417,706,582,268,146,370,786,766,101,605,543,
064,958,076,759,630,487,421,424,057,418,853,457,876,874,980,367,556,093,379,
446,683,726,136,726,894,909,836,984,334,895,009,186,474,712,438,394,898,888,
772,042,639,670,823,273,491,504,782,516,856,086,529,172,794,840,934,553,847,
436,591,680,854,298,422,205,913,815,738,453,979,729,548,453,979,715,905,855,
884,529,652,476,106,073,784,146,381,311,051,159,261,942,003,132,659,146,743,
495,661,105,792,027,005,142,317,236,588,638,897,463,785,629,888,110,230,760,
952,082,555,385,777,386,115,903,676,013,836,662,910,432,369,439,346,100,352,
316,470,425,975,975,693,930,395,247,568,317,613,334,789,059,911,562,576,461,
163,995,733,501,422,481,304,923,251,164,607,768,430,680,129,421,259,472,435,
088,874,763,845,260,482,080,486,663,734,609,407,315,646,207,265,011,619,893,
818,575,044,313,300,773,002,594,510,555,176,074,064,601,862,465,035,038,206,
224,934,432,649,866,457,195,290,081,729,190,388,466,623,335,654,681,273,689,
987,067,223,229,609,435,359,349,429,006,938,612,585,981,164,588,466,731,378,
782,135,697,364,545,456,412,453,613,232,253,621,122,418,930,675,079,999,513,
326,793,334,893,217,249,463,518,951,942,815,777,762,015,845,172,572,273,716,
975,275,134,115,037,852,416,879,122,176,967,581,431,242,311,467,218,469,613,
019,694,535,574,457,104,385,553,897,908,223,573,329,294,702,981,210,140,515,
402,812,336,467,647,321,903,336,558,545,463,205,903,700,167,167,707,188,015,
625,820,898,156,103,255,460,718,257,630,060,026,920,563,818,299,336,099,031,
680,538,328,227,613,054,366,562,364,989,027,389,853,263,570,560,689,243,096,
334,463,419,052,151,979,949,547,511,920,097,712,950,593,940,328,183,790,793,
671,939,300,922,683,310,699,437,838,864,506,620,436,736,273,232,484,920,097,
547,934,423,937,975,780,271,947,726,080,209,601,963,275,748,722,715,101,801,
242,932,790,060,758,536,770,288,875,607,910,080,983,832,448,043,637,867,749,
381,521,835,374,966,186,559,823,805,634,517,019,137,416,531,258,585,191,365,
417,202,318,346,139,060,696,035,357,897,107,352,117,675,468,586,133,811,799,
821,189,521,021,322,741,772,843,255,802,289,502,708,156,835,180,758,228,686,
085,563,257,490,679,417,263,202,841,924,905,467,055,166,578,515,592,418,479,
202,899,224,124,762,133,210,373,980,644,196,863,224,828,401,554,970,742,261,
028,221,049,100,233,668,548,413,617,615,299,131,173,011,587,085,507,215,041,
920,566,512,905,869,012,966,282,665,231,444,846,717,717,905,093,740,757,145,
244,774,612,351,918,773,197,373,143,449,694,603,355,615,622,711,910,503,562,
850,827,151,839,420,847,274,440,704,375,518,536,307,878,336,413,025,460,017,
596,764,944,361,017,122,225,754,873,995,456,400,274,731,717,865,608,673,084,
136,626,116,919,984,063,720,479,864,532,669,528,748,576,984,571,305,203,794,
205,152,134,974,380,259,538,273,740,104,828,924,686,901,117,372,987,564,713,
161,630,302,633,959,734,212,956,928,270,086,322,218,506,851,588,175,859,916,
276,024,368,310,013,323,200,565,690,692,364,258,614,651,783,469,424,606,387,
448,479,610,543,170,099,589,546,568,972,062,425,828,933,086,532,426,764,027,
389,411,216,858,586,022,390,133,432,915,083,545,152,787,604,785,853,598,480,
936,152,180,491,243,850,073,180,866,689,681,144,258,532,631,468,300,506,859,
484,282,711,574,194,701,624,983,545,774,372,461,187,959,671,964,801,773,772,
390,247,219,180,042,433,847,546,287,104,171,328,197,918,173,200,634,514,247,
075,267,858,830,963,258,939,558,103,706,887,271,419,612,870,551,636,382,156,
857,264,149,035,373,043,811,745,821,941,899,872,703,953,252,337,551,193,386,
716,855,583,935,444,053,778,626,272,172,078,509,564,930,727,463,807,094,567,
478,496,743,213,946,019,169,393,535,148,801,057,915,709,194,658,414,040,191,
639,986,520,541,468,922,116,003,775,314,978,694,270,429,533,386,871,445,549,
054,359,199,573,651,251,515,024,632,965,229,787,665,447,270,244,159,477,145,
968,363,273,608,120,575,449,106,190,290,518,284,961,473,805,349,536,129,295,
617,758,081,124,814,049,125,671,728,384,734,506,805,016,026,830,161,051,105,
964,356,637,926,049,582,834,734,735,550,982,358,487,207,027,948,168,000,598,
485,522,060,840,322,877,950,191,299,324,736,985,572,060,957,655,925,365,762,
444,359,935,130,254,213,986,675,069,790,826,951,404,443,100,376,197,592,917,
625,088,933,540,650,039,648,914,060,023,039,596,595,854,256,964,365,624,675,
725,937,433,420,836,352,783,685,968,041,300,588,652,901,844,163,042,841,343,
932,202,134,066,416,084,470,075,542,453,590,886,622,871,402,810,211,810,068,
647,601,500,309,671,127,079,789,198,076,577,513,705,198,578,858,801,608,859,
310,425,105,114,719,202,412,701,248,944,093,836,917,851,072,601,627,577,478,
075,163,209,940,339,368,621,892,655,860,221,087,614,427,004,764,036,892,893,
140,081,791,683,465,955,502,491,386,677,536,873,693,639,499,817,253,222,273,
787,784,475,086,586,343,845,744,575,607,805,024,526,152,812,233,484,154,202,
756,482,939,115,380,570,931,315,554,999,472,948,942,607,349,981,129,732,010,
688,880,150,544,133,321,596,350,049,151,236,081,070,357,369,163,480,188,547,
716,530,716,031,465,194,440,936,986,713,990,283,472,343,365,107,117,694,855,
915,635,989,660,711,330,954,522,871,894,251,360,124,468,772,218,776,940,398,
414,092,360,314,287,349,970,628,487,909,359,339,217,649,322,895,566,630,452,
731,164,321,470,828,146,279,322,610,202,163,392,171,695,207,718,501,873,684,
500,048,788,491,202,534,247,775,483,902,741,689,716,766,310,572,024,227,316,
449,433,325,931,826,544,352,028,016,882,087,741,358,162,567,890,584,532,447,
786,016,535,195,824,859,803,757,182,770,004,847,105,577,849,851,629,954,141,
713,494,816,144,672,589,155,641,922,900,491,597,945,474,332,260,317,398,067,
364,632,833,999,621,136,610,311,702,223,491,525,488,688,575,770,387,104,886,
707,124,145,582,678,576,654,839,667,411,400,743,602,048,681,985,520,934,209,
375,869,568,017,095,518,453,702,351,701,188,757,256,604,402,201,594,357,085,
632,987,017,692,366,933,325,381,675,638,665,052,814,914,637,947,217,639,124,
423,098,559,752,223,044,136,872,778,509,092,769,780,309,970,716,204,302,716,
471,667,636,943,218,983,971,420,725,075,830,461,766,499,786,542,684,672,648,
989,027,551,885,728,602,539,228,608,656,288,073,361,106,971,657,795,659,436,
211,969,093,332,924,400,877,013,239,085,781,883,278,555,478,400,377,534,752,
021,975,468,726,165,383,181,112,050,918,245,841,874,821,847,764,620,799,240,
333,238,307,963,210,640,034,159,759,030,947,928,035,590,253,137,569,136,027,
174,895,265,639,371,442,305,977,807,157,651,067,920,070,202,842,819,531,932,
817,546,287,493,985,141,375,763,955,977,692,618,898,050,874,535,661,878,227,
930,084,806,812,775,850,342,796,343,899,172,670,889,015,656,669,206,182,724,
762,845,619,848,482,950,012,651,136,025,622,030,293,394,619,869,369,965,500,
010,517,052,275,114,178,647,339,793,947,448,090,669,885,215,178,416,604,398,
653,526,276,180,242,799,080,620,792,986,367,700,057,466,168,631,228,488,338,
918,607,668,670,271,129,725,977,953,091,019,136,598,157,321,532,144,293,626,
818,683,739,643,684,674,640,655,452,683,895,030,849,338,225,504,519,386,761,
517,647,243,008,029,063,864,479,985,608,242,088,167,458,594,869,189,400,254,
999,222,755,592,754,114,952,753,314,074,458,230,861,353,570,486,213,777,356,
852,882,845,224,984,340,531,150,218,204,191,887,749,689,892,712,572,203,964,
654,567,868,264,065,092,595,305,864,698,409,275,801,788,386,405,324,383,473,
800,083,537,628,631,077,990,608,579,475,277,596,906,960,272,186,984,557,337,
079,231,339,711,550,819,158,775,931,448,246,664,268,303,418,251,384,481,122,
517,718,243,770,334,547,607,837,386,069,827,226,531,174,793,152,162,929,211,
185,355,529,676,694,992,941,598,858,091,529,204,335,983,719,881,452,887,961,
964,227,442,855,770,451,587,727,515,601,245,885,174,014,871,831,966,262,194,
068,982,865,330,897,966,605,427,999,045,357,855,264,403,944,753,476,031,841,
234,143,875,821,135,753,277,329,676,092,185,433,222,449,502,734,600,963,460,
209,777,910,130,520,277,667,955,821,640,988,047,472,601,586,527,902,211,026,
170,364,463,526,190,826,662,159,530,613,625,685,407,329,129,808,747,393,771,
733,321,934,305,117,951,731,821,067,787,815,286,018,860,070,392,705,732,430,
613,237,988,222,770,772,092,676,875,938,929,967,159,137,054,970,388,645,967,
944,844,384,487,084,423,143,003,076,447,299,008,726,167,911,547,707,673,800,
531,440,389,654,043,050,972,426,377,238,582,514,123,100,426,032,225,575,733,
893,990,444,299,198,841,304,128,415,418,399,069,056,057,272,737,546,395,396,
020,844,436,540,911,911,672,512,528,187,667,147,571,326,901,319,403,569,422,
921,715,833,073,989,909,272,196,987,301,511,524,720,639,162,297,594,936,396,
236,748,707,936,183,583,698,776,288,614,275,014,275,383,008,398,253,270,102,
658,120,856,042,273,336,820,680,845,682,426,632,214,962,586,226,037,476,429,
010,591,193,489,643,973,612,426,388,040,511,670,649,800,788,133,451,966,383,
992,470,022,792,104,316,945,817,215,233,913,618,092,584,122,344,127,093,773,
890,692,633,240,104,451,072,302,731,636,125,504,102,546,999,128,254,986,757,
658,099,015,525,711,339,970,466,967,062,837,624,753,956,145,085,168,711,843,
945,498,246,096,904,386,135,582,544,964,805,044,636,717,800,565,309,970,412,
740,460,979,492,009,757,781,206,006,294,938,083,515,892,478,180,111,053,050,
865,902,816,940,403,163,799,032,168,958,306,560,326,328,237,066,183,268,761,
528,251,801,963,646,321,324,893,934,169,768,426,286,267,331,111,509,741,166,
957,800,084,318,844,496,646,987,819,188,914,186,372,940,662,155,234,483,577,
015,976,354,342,509,043,638,797,802,451,351,060,184,070,931,872,120,683,853,
972,284,873,775,266,096,143,155,458,626,343,089,052,317,881,954,909,201,950,
177,154,017,227,626,249,772,165,840,282,023,707,653,227,566,134,541,960,201,
050,720,721,809,904,152,179,316,389,202,912,958,731,927,930,853,885,072,087,
512,534,509,759,587,428,512,104,390,231,672,377,151,740,968,594,939,360,139,
955,878,846,239,185,575,917,978,375,590,697,450,414,101,115,026,673,843,218,
429,891,364,682,750,798,224,180,724,062,132,082,531,058,129,957,516,991,131,
434,873,638,356,830,293,271,648,425,841,764,560,670,776,479,390,729,311,487,
002,025,477,505,172,045,604,082,080,619,491,355,726,799,021,834,353,920,869,
906,490,456,489,368,552,050,071,804,905,919,895,182,979,661,240,539,644,016,
034,317,077,454,956,732,941,403,101,131,569,503,120,467,479,877,902,413,129,
715,225,736,115,838,322,355,213,123,336,009,890,581,989,995,721,360,813,253,
861,106,756,237,829,690,346,188,743,353,642,223,791,661,206,214,510,147,211,
466,850,474,644,637,500,594,142,072,436,266,984,563,298,786,739,734,432,172,
814,662,962,087,267,511,473,626,682,451,620,904,921,618,209,035,836,186,990,
881,309,775,127,862,423,332,162,632,251,400,977,708,992,228,505,135,834,021,
130,364,829,257,265,931,656,145,540,547,349,378,699,520,524,748,437,917,374,
695,305,739,403,996,004,362,120,137,872,957,585,612,720,023,466,084,172,200,
864,107,593,557,364,984,607,893,696,359,034,578,806,848,051,743,316,891,195,
073,970,672,410,426,132,384,895,168,559,772,332,604,778,578,906,657,649,191,
338,759,666,057,151,180,526,521,632,071,040,145,611,102,467,607,465,859,469,
533,897,867,011,564,458,178,175,462,131,462,664,444,257,101,434,053,282,081,
911,900,272,809,018,680,178,772,026,728,290,616,018,079,543,304,515,940,922,
102,298,077,674,220,187,271,220,132,167,079,735,811,471,929,141,791,904,555,
386,521,675,883,498,079,615,376,407,429,994,885,232,214,812,042,294,588,679,
656,006,104,998,524,123,747,164,357,961,348,472,979,471,628,243,331,236,958,
860,293,081,356,697,835,076,801,149,545,281,758,657,729,323,705,671,256,967,
830,094,781,037,123,058,760,840,645,671,919,196,843,687,832,740,533,545,591,
486,135,538,980,572,562,880,793,961,683,452,576,480,763,519,416,795,904,677,
797,423,063,922,182,973,064,249,807,368,990,883,016,392,076,459,680,781,613,
743,804,049,179,743,394,598,226,919,385,813,279,388,392,075,783,415,909,024,
796,043,505,188,506,292,389,894,560,991,418,531,067,675,012,770,672,092,352,
840,234,227,230,805,514,408,587,009,252,645,816,393,030,896,313,008,524,325,
913,723,514,867,895,033,544,980,810,356,410,052,381,236,102,571,445,478,122,
883,188,772,011,310,655,740,205,254,195,654,227,114,060,581,706,006,218,856,
426,828,100,158,647,582,465,781,320,653,283,121,194,349,702,803,831,841,471,
539,776,297,165,671,057,989,497,673,817,331,567,357,167,590,380,508,317,162,
499,605,598,700,665,820,305,351,201,892,479,236,129,008,037,301,048,862,026,
460,051,488,296,153,127,750,066,184,001,122,062,386,849,350,068,762,710,598,
195,188,637,068,572,072,613,391,023,123,493,320,290,595,260,515,605,712,679,
079,135,801,785,399,024,780,439,895,736,443,878,788,978,598,521,772,449,063,
140,289,409,583,441,264,464,799,244,813,335,223,506,039,890,783,405,995,848,
016,181,996,059,381,675,663,942,032,397,600,124,120,543,003,587,180,563,737,
300,707,370,117,602,065,085,214,230,691,587,412,469,320,987,906,442,562,203,
419,399,853,085,670,114,462,103,439,260,554,111,024,260,651,411,021,063,836,
357,445,451,487,074,019,099,404,692,473,593,491,599,322,719,852,694,629,558,
397,088,256,369,644,256,728,923,663,381,666,551,121,861,507,154,641,218,720,
078,649,380,832,077,546,167,267,509,608,638,069,847,016,502,006,164,286,445,
978,085,223,082,218,364,963,300,576,828,990,382,351,886,473,031,050,321,824,
795,623,735,741,682,282,486,914,092,845,679,543,246,377,979,820,246,398,079,
170,916,774,792,485,019,460,053,960,073,158,372,920,508,217,398,423,580,632,
657,858,867,937,701,954,438,925,957,789,697,045,650,966,796,798,717,587,608,
254,507,017,862,214,437,577,272,813,370,524,067,493,325,903,092,269,839,445,
767,838,186,506,663,570,237,254,169,620,882,410,410,569,125,733,070,432,293,
728,848,657,688,596,080,802,941,219,162,233,869,766,037,231,662,482,186,681,
329,276,973,396,180,506,223,227,885,535,455,489,477,725,489,054,567,291,361,
933,361,166,877,078,071,136,450,096,527,743,044,713,300,450,770,060,069,451,
742,473,391,742,863,338,945,355,190,812,901,935,239,884,012,829,811,349,004,
717,776,249,064,893,555,006,939,959,476,392,572,560,834,135,490,016,372,334,
547,109,172,565,405,134,217,509,074,086,496,842,051,032,177,815,255,720,154,
896,203,340,842,985,289,768,346,431,902,377,701,668,945,868,747,763,918,999,
575,481,488,769,512,983,972,707,687,954,989,156,557,535,327,888,880,230,552,
952,824,155,661,237,398,694,465,501,678,099,386,270,705,542,698,431,585,862,
827,113,486,084,707,004,737,288,373,869,740,604,319,852,069,720,823,223,380,
676,129,189,099,955,908,487,522,742,366,045,239,145,004,362,062,977,575,016,
818,763,368,434,899,426,955,689,538,725,413,434,255,983,087,321,751,791,004,
127,391,782,429,169,146,696,208,769,177,823,078,070,159,733,476,456,884,787,
141,448,115,664,687,587,505,441,855,388,041,146,840,428,421,106,284,901,317,
140,253,915,311,772,535,725,973,962,183,388,941,205,611,900,526,374,488,210,
562,057,137,270,948,038,855,148,659,551,623,838,231,028,918,241,332,934,977,
509,778,356,183,523,848,543,574,281,647,405,056,107,705,124,964,069,969,863,
851,339,179,871,587,920,947,357,023,899,051,918,024,399,759,849,067,816,985,
744,118,306,718,348,043,106,711,866,012,854,804,727,851,118,804,048,932,642,
328,329,260,425,301,349,017,173,700,971,978,274,251,514,300,099,570,704,998,
509,505,772,873,052,085,978,198,322,229,377,696,926,591,261,354,752,237,337,
572,978,750,945,860,163,714,924,497,665,933,615,478,070,345,828,469,690,309,
789,557,469,082,555,116,442,136,183,372,412,511,469,562,207,616,072,708,909,
585,191,618,769,025,034,547,969,069,394,770,298,245,115,770,923,109,797,599,
257,754,815,940,507,410,440,952,331,113,058,376,055,235,754,300,360,623,367,
084,391,372,964,058,475,137,259,842,542,716,695,966,073,501,529,106,733,038,
341,211,292,576,817,799,606,207,807,068,487,526,957,273,045,238,878,245,555,
866,061,937,196,695,498,792,303,930,824,275,744,009,754,548,956,774,525,342,
230,006,350,797,366,996,296,111,472,161,691,397,819,741,001,045,486,881,916,
502,769,254,474,485,046,780,993,784,954,856,958,882,082,502,086,094,520,476,
014,203,296,003,064,835,080,166,132,389,393,258,373,897,426,027,535,167,001,
952,054,297,199,025,470,282,289,858,476,047,294,892,464,463,405,211,508,063,
353,206,151,960,845,101,543,847,071,361,716,248,477,866,231,703,728,445,195,
796,220,543,998,901,090,325,799,035,639,814,796,596,033,993,906,363,969,594,
014,161,214,732,732,303,007,523,566,993,469,217,431,891,374,658,164,366,245,
967,893,162,874,287,095,029,960,143,901,082,504,874,043,044,082,224,832,757,
443,810,711,034,691,850,135,334,126,808,903,602,667,007,319,727,845,776,903,
182,984,346,722,777,081,264,863,578,610,088,654,503,980,694,680,160,630,498,
423,647,078,083,956,350,251,769,248,953,099,771,850,147,857,650,159,077,748,
992,672,183,478,488,466,135,523,859,574,379,480,206,150,405,707,922,750,688,
857,243,099,073,406,520,959,224,069,353,018,258,121,999,312,123,136,546,504,
873,459,433,510,855,266,157,068,108,685,465,402,437,866,869,894,341,110,953,
969,105,470,300,892,781,490,113,709,100,102,963,671,741,466,291,031,563,925,
977,390,576,232,389,348,928,750,637,909,567,133,501,840,854,719,782,634,776,
096,163,131,558,025,830,893,065,308,798,793,003,998,471,743,183,283,468,696,
667,157,477,230,163,123,566,130,211,112,638,714,599,466,782,947,590,399,147,
522,766,679,592,874,534,267,068,114,305,295,946,472,565,486,011,140,035,443,
917,785,119,164,187,885,702,763,335,463,813,033,780,032,525,367,607,464,222,
474,216,579,008,148,395,512,026,563,452,224,916,743,208,671,221,926,590,533,
246,052,797,066,398,603,828,260,436,673,780,879,549,662,229,375,467,239,660,
168,382,366,891,278,438,050,815,969,783,982,197,651,958,278,993,424,355,267,
443,023,301,339,107,519,565,148,138,228,616,017,723,398,238,385,880,585,789,
658,751,152,002,512,112,963,191,599,450,100,461,029,190,594,512,887,678,236,
152,360,561,296,095,297,480,417,078,159,773,596,479,127,893,832,951,596,381,
726,265,359,616,511,006,929,212,654,675,777,252,292,422,577,436,004,045,154,
886,802,641,401,509,258,541,890,888,318,808,118,995,543,879,636,007,082,972,
361,000,154,750,344,526,609,398,227,939,254,340,616,152,318,260,570,593,779,
972,321,061,596,753,165,124,302,735,433,733,077,767,251,195,123,402,284,484,
635,577,968,530,279,701,874,837,930,684,634,794,023,582,688,326,856,440,364,
138,361,078,365,979,470,942,542,274,263,317,194,529,662,279,617,696,411,633,
096,097,970,709,273,653,095,887,542,971,220,831,396,236,462,297,237,630,767,
364,853,863,422,798,504,533,835,650,495,598,995,556,003,190,311,427,824,490,
811,916,955,387,042,545,371,508,661,524,680,519,730,699,166,699,653,392,055,
877,793,659,420,852,812,199,983,755,654,413,623,955,601,239,729,191,489,992,
988,704,429,272,229,002,755,464,616,398,005,377,906,596,175,906,043,861,653,
074,319,525,071,486,114,881,817,119,526,268,376,251,845,033,579,452,499,364,
324,985,519,187,021,644,106,829,607,615,934,795,202,307,927,110,912,198,632,
966,499,931,905,585,702,836,526,909,504,051,014,890,175,828,951,654,749,110,
477,866,718,344,389,113,199,690,508,828,045,530,099,960,690,379,041,665,914,
585,094,094,912,154,087,108,617,354,755,046,185,763,340,653,073,748,440,261,
207,326,504,902,179,271,125,918,217,817,814,733,977,433,892,020,663,612,479,
341,957,874,089,954,137,397,878,877,358,673,557,763,017,987,786,424,100,563,
615,493,092,638,977,276,466,760,612,526,714,797,371,864,992,780,137,116,644,
522,420,333,700,686,565,070,481,261,349,654,787,227,746,798,666,578,368,995,
775,549,048,720,494,921,389,018,561,943,742,120,117,507,028,158,229,353,326,
377,577,251,251,914,692,922,467,055,691,526,867,079,719,162,832,225,936,608,
553,424,193,192,337,013,878,023,746,703,783,521,181,882,692,435,902,956,465,
496,781,036,249,839,695,242,154,157,845,421,231,527,570,683,206,402,271,971,
892,467,519,446,685,574,415,129,377,972,863,536,740,600,670,455,629,337,988,
887,638,699,440,926,860,093,587,829,289,012,059,091,533,218,539,124,312,999,
054,857,045,749,222,323,146,109,452,969,716,983,192,438,183,548,838,453,049,
939,662,753,603,623,354,849,846,584,714,163,356,745,235,221,145,598,666,712,
490,871,759,557,869,610,729,746,771,702,971,027,261,878,429,341,756,004,852,
541,175,958,475,336,737,478,158,673,838,765,571,407,452,906,771,748,215,362,
396,541,021,077,871,978,479,541,943,652,069,255,734,023,284,087,051,935,412,
507,746,908,376,982,355,683,971,523,478,486,572,958,135,615,444,908,007,277,
415,663,508,614,883,115,157,089,840,644,899,294,522,171,815,099,676,309,933,
580,670,274,938,509,871,813,041,578,840,828,689,603,812,162,537,411,139,200,
947,897,465,561,605,515,908,515,180,588,853,475,064,595,443,060,706,143,952,
878,927,205,439,060,209,170,742,674,765,249,901,028,875,829,720,071,816,978,
953,768,305,655,779,597,872,123,389,295,043,739,858,636,689,124,313,016,647,
235,137,792,212,556,683,847,309,566,163,364,853,386,032,512,007,109,091,251,
265,067,496,455,549,227,431,203,620,176,499,406,236,813,826,368,828,652,165,
712,389,921,633,029,373,652,351,679,102,588,735,934,633,989,971,009,367,652,
460,408,047,452,087,545,960,665,904,229,766,165,624,961,740,278,918,049,091,
628,771,416,806,376,357,656,523,591,395,772,907,580,379,549,177,771,275,567,
774,394,641,098,537,813,867,714,440,564,028,290,873,765,408,765,916,263,366,
611,909,387,629,742,943,268,173,936,828,445,541,882,444,705,839,586,058,275,
180,734,136,715,904,198,195,468,917,287,612,919,660,499,799,409,968,796,392,
421,889,152,375,832,812,202,450,322,170,121,460,623,762,157,881,948,127,045,
604,876,572,889,362,578,466,938,771,538,762,554,281,667,636,441,873,358,649,
636,907,546,628,759,822,118,528,701,756,338,174,699,695,206,717,076,934,733,
030,174,345,726,415,272,654,120,987,591,269,642,868,142,300,866,882,606,837,
499,714,108,046,368,532,542,037,281,218,791,259,191,040,902,538,828,307,480,
037,096,675,758,459,064,465,730,063,287,696,682,002,043,862,228,972,007,561,
019,544,696,186,466,710,231,344,004,147,900,702,881,107,892,616,088,872,709,
819,119,214,289,066,702,230,670,109,939,902,296,638,330,624,232,316,767,189,
879,770,983,407,685,833,688,541,325,617,822,468,678,004,112,331,542,665,290,
555,252,856,491,980,453,862,423,826,070,886,889,286,028,037,720,418,870,227,
667,952,659,795,479,444,964,985,297,893,746,696,040,197,799,791,280,582,064,
231,324,519,939,538,751,796,224,409,505,960,604,885,486,776,648,754,162,322,
098,341,619,027,074,534,072,501,991,430,611,758,838,988,852,895,933,215,933,
794,232,569,756,953,244,638,299,466,613,563,819,709,930,045,592,703,553,730,
073,279,862,157,268,131,829,645,062,863,975,235,575,150,940,816,835,971,437,
249,501,433,830,016,468,245,097,473,233,341,520,815,484,656,637,259,223,137,
798,831,298,277,118,663,484,553,313,709,835,516,057,650,026,734,995,440,839,
190,840,500,081,964,672,610,544,391,921,961,842,716,802,576,130,565,799,966,
599,137,320,778,904,386,002,716,416,158,603,940,280,363,591,028,682,050,278,
761,469,714,451,112,410,808,255,223,874,361,912,310,524,541,074,743,552,133,
168,399,185,581,346,008,446,571,588,817,467,282,702,324,069,785,492,567,257,
560,067,170,567,781,663,179,745,890,837,280,846,382,529,546,286,225,959,526,
309,108,697,098,517,514,374,274,697,873,168,051,447,822,580,306,886,550,604,
683,272,512,907,059,604,316,888,172,420,647,033,631,897,663,844,440,965,923,
709,576,546,287,894,409,271,083,387,474,956,770,678,255,570,887,269,734,351,
387,478,762,962,414,790,885,313,885,300,511,553,622,563,314,526,723,981,745,
944,168,349,075,511,238,298,194,632,860,420,799,060,550,625,065,650,007,693,
770,504,344,141,051,405,490,622,282,787,731,985,167,650,638,983,467,751,325,
472,071,191,369,665,433,847,689,221,981,505,411,749,221,491,640,602,673,544,
044,961,164,698,053,446,880,564,662,438,408,667,177,907,275,223,268,128,146,
763,459,082,831,364,053,316,966,401,249,412,074,921,367,263,969,196,408,737,
669,906,003,734,778,519,459,281,146,949,597,839,137,782,692,665,352,110,068,
673,488,020,421,578,568,785,472,691,135,402,542,037,615,150,754,809,159,421,
689,568,425,205,510,376,884,920,783,895,953,392,858,919,858,403,314,896,594,
239,520,988,387,493,593,322,331,551,056,730,617,048,440,210,850,906,505,800,
309,760,090,492,539,896,082,797,151,981,640,881,416,146,970,909,174,792,442,
032,865,659,044,016,548,445,562,788,848,199,062,990,100,817,587,655,419,490,
356,233,732,060,281,847,410,686,326,531,137,605,165,097,346,513,215,973,671,
948,772,098,495,441,195,660,248,552,775,641,254,404,656,048,784,548,407,411,
313,558,202,994,636,540,636,061,515,257,947,953,107,988,302,835,629,609,179,
462,728,103,842,741,528,136,332,124,094,050,577,174,347,215,217,190,653,229,
226,382,130,919,220,176,051,780,016,831,533,728,238,726,167,694,609,973,489,
470,812,025,500,971,813,961,816,873,665,244,613,729,545,636,262,002,429,913,
565,535,905,796,730,801,050,669,738,623,770,187,958,628,653,882,133,080,693,
662,051,802,653,572,402,965,622,770,188,893,282,961,281,266,601,143,764,001,
494,646,589,146,313,342,488,152,602,838,841,202,486,894,326,584,501,832,137,
813,906,922,993,663,471,838,998,947,052,834,321,954,418,053,669,502,828,811,
359,969,707,607,050,783,684,208,485,180,816,127,840,347,007,712,804,584,153,
726,776,032,422,399,956,069,459,310,349,110,848,970,058,692,883,154,355,832,
833,450,281,888,311,697,454,185,913,743,772,958,724,482,613,648,820,665,230,
253,106,817,607,596,695,559,263,502,224,522,416,664,575,707,781,468,972,906,
576,275,133,565,964,494,725,166,153,824,213,846,173,680,710,525,310,762,440,
385,773,252,743,705,098,285,016,636,952,808,815,515,963,511,219,509,533,572,
147,969,476,277,868,314,627,409,707,186,656,963,998,062,950,197,622,287,793,
756,147,601,625,956,142,358,709,473,515,595,857,006,370,895,306,205,249,317,
018,073,220,133,964,476,852,095,255,997,399,318,987,725,324,606,685,182,367,
365,392,231,616,428,827,088,906,825,178,205,968,684,623,473,454,884,804,117,
809,251,322,221,154,468,666,503,266,945,943,670,913,130,782,117,584,645,063,
097,030,465,503,133,470,104,734,328,177,719,171,445,390,544,934,044,572,254,
304,012,100,542,850,522,260,383,506,727,295,793,530,336,644,159,035,966,329,
541,473,401,018,364,297,992,123,304,074,041,170,919,113,926,396,043,608,994,
199,945,142,689,934,537,496,500,215,336,264,437,858,404,873,323,388,236,387,
287,119,201,265,461,816,617,971,194,284,136,908,676,641,047,836,422,198,091,
537,230,333,769,526,639,076,337,459,779,596,983,210,495,462,335,578,666,362,
444,999,818,078,632,261,115,767,590,585,380,342,087,082,300,202,841,240,149,
242,578,856,750,099,475,295,740,965,322,715,616,380,069,354,171,694,984,180,
745,795,856,422,711,662,071,412,452,920,040,443,270,453,406,803,903,094,057,
302,225,947,880,819,166,931,598,860,307,901,003,408,601,932,344,971,794,836,
464,104,674,636,043,464,569,055,676,919,251,746,712,550,984,293,801,921,687,
173,706,241,216,834,615,723,057,428,325,709,068,661,516,284,426,409,178,596,
032,358,185,717,572,869,755,096,218,135,309,988,689,239,775,610,698,706,445,
473,030,287,197,916,917,264,202,077,265,781,460,255,624,165,397,904,852,669,
634,611,507,600,426,777,045,929,335,560,620,595,544,592,635,146,425,015,927,
110,417,902,618,339,738,221,794,199,826,707,610,552,769,137,908,917,649,560,
469,228,253,103,729,128,069,166,408,269,570,393,399,014,386,142,197,750,798,
970,630,103,798,542,306,941,237,713,658,106,438,795,650,271,031,309,152,814,
190,601,551,472,860,724,380,254,454,054,130,726,194,631,531,589,309,218,752,
495,269,324,367,040,776,167,071,579,860,025,486,784,136,746,135,221,646,199,
365,474,942,895,146,650,338,268,162,278,057,782,049,464,568,502,002,073,657,
519,114,878,512,168,173,944,844,968,785,765,926,565,335,723,510,763,758,972,
754,732,649,594,997,161,401,765,120,738,100,084,265,546,126,723,526,846,750,
660,035,758,956,243,169,408,516,568,424,196,410,385,754,363,151,880,571,598,
813,647,890,810,765,445,241,522,579,348,634,131,134,425,149,743,777,085,219,
048,065,385,094,875,625,935,840,190,656,043,349,858,407,806,199,678,992,440,
040,755,409,673,763,309,072,749,050,269,180,274,060,754,305,690,680,528,303,
949,164,270,117,757,917,171,269,457,669,023,191,913,332,756,366,691,760,766,
130,888,241,643,793,155,997,630,455,923,517,927,039,994,300,899,914,141,673,
944,080,966,959,993,149,515,993,570,735,348,245,250,195,930,508,295,284,889,
527,173,091,002,671,095,146,035,879,602,624,447,979,705,130,871,850,696,380,
001,611,857,657,339,412,072,307,609,981,514,384,189,528,398,533,132,930,210,
430,656,302,706,461,996,391,788,312,181,862,774,069,133,798,453,991,031,867,
931,418,501,416,412,754,832,991,092,183,608,462,893,375,718,097,955,554,265,
825,165,294,008,166,168,278,437,515,833,855,048,582,705,575,575,902,310,105,
440,411,743,196,981,247,908,356,656,012,123,518,294,266,427,162,393,481,321,
261,955,834,824,649,110,031,263,123,642,574,645,149,543,697,611,767,464,348,
195,088,369,584,555,987,006,168,430,495,118,323,374,063,770,889,835,758,241,
320,223,058,791,099,527,367,424,571,553,681,035,021,367,434,530,750,874,549,
125,898,200,109,073,618,012,291,280,591,274,118,883,807,305,192,447,726,984,
728,729,496,908,089,285,268,851,579,211,216,150,611,073,306,732,420,592,890,
709,446,217,233,924,016,466,785,006,088,413,735,636,636,578,899,183,196,187,
578,105,551,261,422,020,352,170,888,133,369,789,788,500,258,359,716,588,683,
073,804,663,587,986,356,887,897,015,770,917,843,947,554,478,491,129,774,940,
757,488,342,686,770,531,379,453,657,509,808,330,361,993,024,292,780,809,374,
514,330,448,208,610,136,394,956,686,146,506,845,465,380,660,500,357,030,128,
046,007,313,812,091,670,526,425,417,338,180,163,722,337,849,669,678,619,956,
424,244,998,487,223,339,830,188,659,919,606,498,078,170,221,854,516,884,251,
509,614,673,779,380,234,706,636,090,518,967,384,235,726,134,335,554,251,351,
184,384,474,532,734,564,687,837,091,792,762,952,053,454,896,257,602,867,239,
831,157,937,362,337,443,601,066,232,781,801,205,294,820,423,129,053,889,873,
707,448,310,180,471,780,414,104,534,594,939,862,760,998,097,543,230,105,070,
298,116,759,837,135,214,105,656,011,199,192,270,585,698,441,893,174,995,196,
560,368,513,785,406,288,737,406,766,624,166,002,688,781,465,485,448,938,293,
633,412,652,900,260,162,411,742,633,435,674,295,794,288,486,955,808,448,409,
145,790,982,430,190,211,221,042,748,737,131,168,927,978,282,798,335,743,875,
479,800,306,424,265,428,532,977,998,142,496,338,575,477,971,612,460,073,717,
510,496,955,160,363,592,344,947,645,732,223,548,712,144,202,919,980,403,738,
653,414,375,330,226,539,834,373,430,888,155,596,231,737,301,414,283,540,981,
395,888,212,844,356,552,429,689,173,861,922,396,681,610,583,682,270,013,848,
001,589,436,121,987,436,607,487,547,380,224,026,248,278,454,341,859,301,216,
898,194,595,259,954,878,692,430,098,787,612,092,817,182,246,109,570,489,493,
393,374,075,018,842,344,948,113,604,083,524,559,326,586,107,554,787,898,293,
226,054,159,504,559,302,548,552,645,525,486,463,598,919,333,411,696,241,001,
473,926,966,234,646,565,142,581,847,542,545,812,884,731,975,039,177,723,122,
920,965,584,367,552,012,265,515,295,613,238,047,101,830,034,296,019,155,751,
735,275,582,195,239,828,593,995,387,251,386,486,717,166,442,070,632,090,255,
529,826,715,909,620,143,997,151,410,505,430,827,982,882,472,387,429,149,140,
407,685,483,303,763,931,402,789,335,795,496,683,150,189,467,550,220,973,172,
957,779,806,462,891,936,301,481,745,857,485,866,751,763,797,181,905,681,487,
084,470,704,932,816,731,974,036,416,427,861,191,098,820,419,307,252,471,242,
502,113,862,328,528,540,595,362,899,254,349,951,304,089,640,689,169,730,565,
432,984,152,960,419,999,383,483,067,828,977,041,088,437,308,500,503,978,768,
766,700,371,041,764,304,447,992,810,884,215,650,674,375,676,528,193,448,780,
446,795,346,030,804,869,432,899,059,116,241,194,708,111,617,700,001,073,742,
640,232,228,331,904,905,307,407,568,893,953,912,590,244,874,104,925,400,929,
907,066,612,023,850,881,178,008,561,077,651,951,523,423,515,107,918,257,914,
237,685,890,848,365,279,946,163,839,041,582,458,957,793,457,958,382,376,234,
204,491,201,008,726,683,478,186,306,979,409,907,882,279,912,174,166,455,894,
466,327,807,717,074,596,059,042,685,552,150,129,856,835,647,990,241,349,602,
716,919,212,992,105,773,343,763,793,144,244,578,607,842,802,101,327,935,494,
668,255,887,546,081,470,896,463,463,595,863,408,875,654,150,357,121,270,852,
419,923,646,965,909,493,993,197,201,488,240,823,885,316,662,978,280,113,380,
871,966,911,440,773,483,553,045,626,705,664,120,419,943,093,766,921,996,162,
980,209,907,322,620,673,058,322,515,345,646,206,076,047,683,378,460,858,406,
017,480,485,460,901,051,965,888,333,128,219,187,883,245,654,284,705,940,022,
734,535,270,808,584,515,686,172,377,914,218,831,142,760,690,140,833,211,567,
150,521,852,795,922,906,168,901,736,109,782,019,144,339,452,841,482,805,433,
266,282,295,442,387,782,064,821,419,216,488,898,547,210,665,598,337,912,954,
704,769,468,998,078,686,653,180,143,432,245,009,785,222,486,184,821,666,982,
626,827,643,814,359,092,956,604,036,547,780,381,422,064,674,496,408,224,521,
676,720,298,456,668,675,296,473,578,577,426,899,422,857,451,702,266,700,085,
283,272,221,225,483,914,433,655,609,604,011,085,291,929,111,739,597,945,228,
839,029,517,362,696,594,447,027,595,728,058,294,339,087,111,591,631,575,697,
849,058,420,502,386,179,650,368,713,413,105,309,266,005,077,418,419,258,269,
545,515,324,111,122,343,852,856,181,178,182,304,339,185,064,189,544,058,710,
194,830,633,163,106,434,990,886,535,716,595,242,604,552,241,643,846,135,652,
588,778,306,336,269,564,832,999,892,333,712,820,369,768,954,215,263,039,553,
613,997,588,138,048,606,429,304,516,735,322,270,228,318,940,021,253,657,577,
853,116,408,942,479,568,803,945,758,417,830,179,873,094,747,534,411,951,478,
864,238,606,679,976,089,846,571,862,050,698,345,163,631,469,054,396,301,802,
030,882,384,019,071,156,513,720,801,404,702,230,398,592,046,217,175,589,285,
354,332,539,108,115,946,149,309,068,358,594,398,356,451,531,938,365,112,202,
868,734,059,145,897,759,718,299,162,364,071,752,469,079,268,487,220,177,260,
196,770,911,341,686,523,059,680,652,068,420,106,395,333,478,173,575,584,963,
582,418,601,033,323,660,831,689,522,179,918,018,893,198,828,364,091,176,992,
702,150,077,573,665,303,999,608,736,472,251,732,623,885,721,631,706,012,487,
348,328,171,211,756,285,731,765,078,750,170,422,951,982,782,990,486,595,448,
090,208,889,640,567,495,987,789,515,435,276,030,966,695,990,275,643,749,995,
889,248,155,389,976,039,851,696,500,860,428,039,128,375,307,221,842,157,619,
738,652,380,372,046,034,813,517,060,403,956,841,877,044,496,062,381,638,091,
532,424,554,733,956,123,677,212,023,253,196,391,634,283,875,440,178,868,634,
961,289,424,077,909,742,278,056,141,679,256,862,248,283,710,953,797,820,991,
907,100,275,560,087,128,009,664,853,225,903,718,191,158,501,971,539,035,421,
263,716,624,025,230,845,084,257,253,815,641,181,757,629,146,915,250,260,044,
886,526,727,886,804,397,080,493,296,452,716,746,889,513,210,224,736,542,088,
270,978,079,611,065,860,993,522,738,536,998,542,931,124,631,674,862,669,855,
274,746,694,017,749,225,382,478,216,541,071,060,296,663,162,787,665,961,361,
697,709,785,547,634,501,537,339,638,746,156,860,264,747,391,413,828,769,766,
932,711,701,622,622,739,671,391,861,218,427,329,593,782,398,638,992,630,461,
993,877,202,490,616,107,755,374,269,374,349,682,584,886,406,978,014,357,127,
712,469,600,584,365,827,496,335,325,412,822,800,535,569,772,004,386,326,359,
086,401,151,494,442,550,836,547,532,054,048,860,179,855,554,418,296,418,152,
538,933,065,817,117,312,052,517,831,237,047,207,308,634,871,572,426,797,641,
112,163,010,021,092,422,651,921,038,230,336,900,166,850,495,468,183,998,155,
020,337,702,297,186,690,186,599,449,905,648,241,845,187,949,480,773,613,670,
180,326,034,602,941,183,668,208,754,266,929,079,018,557,333,238,867,590,901,
127,225,079,508,501,822,728,118,579,709,941,327,317,489,114,756,678,188,692,
576,546,965,026,766,720,202,934,834,167,785,992,636,328,604,554,462,200,833,
507,843,150,684,276,211,198,281,745,944,303,455,584,125,556,295,202,009,790,
230,210,478,167,913,485,455,485,601,734,777,844,837,968,871,942,172,982,174,
357,952,956,557,598,240,998,146,722,434,205,257,806,476,343,812,338,515,527,
709,601,156,144,851,793,954,277,291,906,274,237,964,480,218,553,344,207,005,
657,275,701,751,759,691,663,809,558,193,676,657,170,789,655,857,556,214,476,
004,268,911,774,940,878,478,751,646,056,117,300,445,470,903,212,088,647,406,
155,993,212,495,841,208,669,529,986,777,311,988,778,506,030,728,444,675,874,
565,216,337,842,727,678,651,128,981,948,236,889,711,794,583,103,235,583,142,
440,191,570,045,584,080,928,092,727,392,100,696,136,364,003,975,347,688,035,
488,115,135,630,342,437,853,689,671,975,611,171,727,058,234,708,272,419,258,
292,574,044,623,553,615,691,123,529,758,251,372,694,901,959,778,847,786,010,
128,474,282,592,541,125,349,465,615,200,179,660,323,484,630,630,593,114,339,
413,968,535,169,579,253,318,652,810,929,202,530,633,293,475,486,536,313,800,
241,210,536,267,269,216,663,547,950,411,120,090,695,787,508,606,504,743,432,
082,226,731,393,983,186,350,475,177,365,134,890,016,331,630,469,443,181,568,
351,602,457,293,332,323,812,017,406,660,629,015,816,767,808,708,583,083,575,
479,506,108,773,320,704,480,042,620,217,439,187,513,851,767,554,732,842,749,
366,318,248,891,296,753,539,796,150,958,197,394,818,064,368,244,766,505,386,
524,267,400,194,310,266,618,994,142,972,579,263,211,999,020,210,785,879,261,
284,190,198,889,772,202,257,101,031,726,573,972,054,371,377,859,888,714,184,
364,601,424,562,130,842,859,484,900,807,977,926,836,940,017,878,999,642,169,
929,863,187,552,139,529,674,080,631,541,423,329,334,450,048,303,413,559,070,
128,991,800,670,658,831,898,825,891,970,330,482,782,122,687,323,761,126,567,
140,181,129,610,969,119,788,764,319,544,343,356,406,215,181,533,539,753,419,
286,977,705,535,163,821,828,578,635,297,692,732,692,597,007,205,060,330,749,
974,548,931,899,725,674,527,069,816,983,956,943,036,643,582,762,787,834,116,
789,806,201,089,804,563,684,809,126,490,777,587,657,744,635,287,672,842,035,
094,819,476,551,876,719,669,005,455,419,365,631,208,118,581,336,184,645,868,
885,817,260,444,461,189,343,295,457,920,845,501,652,189,988,523,158,247,044,
315,132,459,015,734,028,576,334,582,608,578,155,312,700,528,865,271,166,849,
847,595,278,964,465,997,384,455,958,881,362,846,510,325,098,597,672,288,700,
458,431,720,517,822,217,894,256,851,174,114,204,205,341,294,147,914,250,185,
201,567,002,240,777,303,427,876,641,846,937,815,142,647,252,457,084,373,737,
268,236,182,059,452,700,656,610,030,854,087,388,279,900,970,959,265,604,459,
160,313,153,274,771,478,486,620,609,108,197,881,918,369,785,950,551,117,452,
490,934,125,766,181,763,208,822,513,055,336,171,733,648,791,795,100,349,310,
290,982,730,307,528,018,610,722,749,606,320,386,658,449,387,860,956,108,339,
515,695,973,932,750,840,845,412,887,087,056,172,980,239,332,148,162,709,774,
063,826,209,163,792,295,511,213,519,974,729,855,008,771,502,010,524,666,864,
783,420,126,339,091,488,830,503,198,941,878,773,207,559,890,567,393,035,982,
642,655,590,736,258,490,224,035,229,035,798,414,093,862,090,472,947,476,307,
231,586,677,226,845,763,269,811,139,124,004,099,647,418,056,705,927,648,943,
616,407,921,035,084,598,658,804,232,112,169,907,757,664,253,487,781,037,373,
088,932,070,531,598,381,024,684,929,988,568,413,334,443,577,039,864,997,014,
161,783,424,299,652,397,189,886,511,444,390,080,023,714,656,054,977,279,655,
540,594,607,978,688,042,551,467,633,012,332,086,487,533,075,232,908,026,834,
385,936,993,188,021,243,285,701,663,513,309,275,176,461,218,521,522,833,615,
458,126,552,466,352,397,102,835,443,383,845,337,911,835,236,868,469,581,734,
517,726,043,680,467,730,469,129,937,830,732,446,542,337,151,304,596,332,626,
556,393,016,817,406,229,260,224,242,601,414,782,405,112,660,944,847,714,830,
799,794,789,953,690,933,999,122,255,365,276,586,590,626,752,786,471,157,452,
123,356,381,446,174,315,847,076,492,146,866,932,695,208,102,102,929,679,158,
165,236,633,727,684,979,248,671,743,878,540,252,555,369,324,035,564,900,627,
241,738,927,706,035,834,523,001,434,295,585,338,645,140,505,492,156,037,012,
832,127,604,805,619,045,678,482,138,471,300,005,100,412,924,300,708,544,829,
462,737,745,308,332,395,499,444,544,134,182,198,565,387,344,699,355,367,478,
856,739,200,270,628,482,488,515,567,893,359,706,650,874,276,540,769,999,289,
897,034,462,009,123,870,205,051,776,340,521,081,391,084,272,406,174,782,196,
694,163,143,458,452,468,933,282,987,290,763,543,296,040,830,220,358,394,658,
795,555,340,601,339,804,998,582,934,600,787,247,739,064,172,227,553,406,124,
982,942,129,282,817,760,831,102,008,647,312,573,937,814,875,539,212,632,108,
331,607,723,399,354,658,446,352,969,116,299,820,357,938,904,386,549,074,504,
327,429,503,461,980,960,992,053,399,778,482,045,902,055,691,423,477,765,802,
554,957,344,760,738,551,581,191,852,598,485,927,145,629,974,328,459,070,506,
331,314,699,694,046,174,416,061,127,516,788,914,896,916,044,395,915,906,565,
399,357,290,901,123,838,047,103,428,876,095,873,656,425,047,030,088,672,580,
892,388,668,268,357,562,171,155,493,547,450,798,810,851,132,296,850,768,220,
503,163,193,963,019,627,900,819,220,760,590,977,237,969,277,846,215,375,035,
118,519,998,083,917,651,750,344,871,202,864,003,447,375,243,151,970,975,277,
783,141,990,077,590,955,550,393,251,161,563,955,101,058,181,236,772,521,550,
332,146,266,257,072,371,434,340,387,285,361,318,715,092,037,526,136,744,672,
618,250,306,079,779,032,379,637,638,871,740,244,962,808,795,875,979,528,386,
310,126,034,955,595,145,539,547,028,605,180,683,315,295,906,380,610,756,515,
218,913,634,197,269,756,839,235,618,162,374,160,840,157,490,970,697,248,453,
639,177,712,812,446,878,229,395,380,995,090,736,753,803,765,229,819,031,557,
327,383,161,890,191,435,808,808,594,802,276,904,125,409,852,073,668,529,796,
904,381,070,620,400,639,611,358,760,681,399,947,246,454,604,347,805,154,549,
130,186,120,287,213,345,779,658,965,208,816,617,572,821,209,236,878,582,286,
765,234,824,640,264,609,691,064,473,602,439,774,991,562,746,381,268,313,354,
510,696,326,769,114,414,820,717,287,335,843,536,830,322,969,218,186,175,912,
387,411,269,171,019,301,519,215,287,630,224,362,888,430,271,728,812,180,490,
533,282,851,940,378,658,941,507,342,352,160,285,934,174,312,672,331,568,423,
854,778,342,678,680,708,897,330,988,484,387,479,543,135,277,000,551,758,035,
695,909,301,647,198,676,481,852,682,098,343,074,961,514,156,756,513,695,720,
389,023,489,873,993,485,996,117,327,108,380,468,149,115,683,711,816,015,401,
661,401,056,876,515,866,208,905,024,367,347,940,449,763,855,511,479,277,134,
082,538,819,233,340,832,487,101,324,807,125,370,860,784,298,828,447,535,555,
469,975,426,201,513,696,163,616,537,876,273,512,040,685,504,634,943,395,917,
607,273,862,122,847,263,217,071,626,756,048,308,753,720,645,154,578,765,938,
530,587,117,147,063,803,800,913,730,969,387,603,450,705,839,497,289,436,504,
741,049,347,716,235,466,225,279,230,098,388,039,243,501,745,551,861,384,243,
116,528,116,535,756,149,540,433,084,962,678,552,587,063,673,964,550,948,358,
959,235,383,291,308,246,769,928,053,993,775,697,598,160,628,178,073,315,749,
902,151,874,813,262,411,686,401,229,896,714,947,865,461,891,822,513,204,268,
924,503,108,697,024,586,937,461,885,636,525,346,496,640,842,054,704,561,304,
311,522,508,749,929,834,055,157,029,418,920,658,798,732,083,251,237,237,239,
516,281,237,736,626,876,194,055,427,044,016,248,369,802,740,802,691,907,924,
476,759,698,315,093,680,905,587,525,828,993,928,172,941,621,842,517,683,404,
524,480,994,272,220,303,219,809,421,724,713,908,704,209,487,012,199,191,318,
582,135,891,064,600,503,096,320,340,183,080,807,648,834,172,349,746,812,207,
339,814,176,186,577,232,795,892,516,378,534,786,391,002,190,378,596,871,788,
805,210,885,641,120,883,559,206,196,137,722,191,288,296,523,828,514,722,980,
562,280,407,138,998,188,755,460,433,009,128,677,248,386,603,587,727,907,378,
276,305,420,089,218,635,823,642,044,068,986,361,853,971,849,324,155,637,528,
670,660,544,508,976,645,500,210,165,727,970,223,281,935,048,380,778,518,568,
602,219,913,374,455,118,129,770,642,723,488,250,916,009,619,049,784,228,507,
051,505,298,599,494,751,429,272,494,487,545,273,371,877,349,456,692,128,573,
207,361,853,278,269,029,593,199,732,204,383,765,873,158,659,556,458,813,259,
674,795,188,424,813,669,929,756,443,796,169,816,786,962,260,874,579,429,553,
702,396,885,197,117,043,554,352,486,095,961,714,411,521,847,410,662,992,864,
436,329,757,385,007,892,253,982,277,971,630,863,165,085,300,102,168,687,775,
238,629,768,275,513,485,733,176,280,655,885,686,428,928,554,096,617,586,204,
611,719,636,620,740,003,604,656,824,876,348,650,391,990,333,199,601,014,869,
314,191,177,336,754,907,808,704,718,277,562,094,548,220,907,179,220,251,366,
639,279,355,243,946,851,016,412,576,689,530,832,712,971,462,396,800,710,388,
736,500,630,651,824,403,716,043,658,114,496,820,521,832,359,629,618,726,794,
557,272,275,729,052,970,530,659,500,083,816,288,495,570,516,178,165,860,814,
670,798,432,676,212,200,410,467,213,180,083,721,173,731,300,424,247,372,934,
364,974,820,296,353,063,580,640,337,464,538,963,412,281,902,165,461,471,885,
930,634,876,069,190,284,133,931,448,413,245,621,392,649,151,326,998,425,018,
654,235,090,622,014,631,565,100,639,266,671,143,248,840,550,233,644,204,920,
684,679,403,154,861,048,969,242,875,388,751,562,158,211,146,441,460,489,936,
447,704,608,668,482,116,597,261,522,211,733,475,701,242,485,003,182,831,874,
107,560,608,282,045,633,981,992,165,379,034,683,825,688,789,884,625,165,586,
603,634,990,805,886,884,024,206,349,109,851,812,188,782,580,705,760,144,707,
303,679,698,968,241,471,851,459,350,369,826,216,075,486,693,609,479,725,125,
955,863,890,440,407,706,744,905,492,064,134,097,645,737,988,021,185,293,685,
838,377,029,333,408,029,698,866,959,746,688,442,931,307,066,496,584,422,319,
980,454,867,557,400,695,775,822,447,205,837,368,944,145,906,624,153,952,777,
447,797,190,443,721,407,562,174,210,342,502,263,721,592,260,022,591,677,419,
219,494,639,239,940,138,309,286,024,369,479,241,667,785,463,952,493,653,672,
940,202,011,171,233,987,328,101,831,886,576,373,237,326,461,501,656,566,490,
966,264,147,727,213,323,359,870,907,343,012,733,127,678,525,304,373,081,687,
771,951,984,804,362,032,786,006,742,109,795,980,419,906,673,031,787,713,221,
666,072,131,843,240,444,081,915,410,410,350,546,883,001,407,646,637,500,983,
382,611,700,330,517,711,252,909,082,722,097,579,116,423,028,329,707,635,961,
172,054,864,774,043,081,135,603,660,446,725,557,808,146,599,327,901,499,805,
902,904,778,795,120,118,855,502,934,941,131,533,624,379,440,751,779,148,648,
826,965,521,632,437,013,349,013,815,543,754,229,468,342,221,554,515,355,665,
150,308,653,810,793,202,689,477,929,503,103,416,082,593,821,184,859,386,453,
888,407,084,580,155,743,174,689,130,568,826,230,295,895,820,443,908,911,951,
676,031,225,402,133,097,810,193,095,374,904,311,754,097,779,819,817,664,171,
156,161,470,336,705,827,978,934,177,772,194,835,850,871,544,767,041,082,993,
066,077,080,449,281,591,401,667,267,403,335,903,089,170,996,558,932,425,201,
655,824,858,978,419,056,364,221,392,415,546,426,823,538,429,471,918,443,398,
265,635,932,729,389,127,816,198,377,168,903,771,584,554,313,910,745,653,556,
533,367,798,152,076,106,178,634,534,692,807,106,270,382,000,171,721,286,030,
286,658,639,922,652,029,660,792,638,018,725,986,051,407,132,125,208,897,611,
923,856,828,314,145,534,989,962,120,758,002,850,345,765,982,948,493,771,731,
734,488,981,583,842,903,849,945,654,157,415,679,447,321,634,221,483,778,297,
019,373,200,633,277,897,441,851,008,758,541,011,470,405,538,731,803,581,666,
639,324,258,782,422,607,204,050,487,237,746,175,529,434,801,622,716,612,399,
402,369,985,354,789,265,746,917,848,745,499,124,532,006,172,433,276,675,100,
174,872,125,830,762,185,778,875,713,603,280,154,280,655,023,921,786,051,878,
686,636,142,301,801,040,310,617,964,211,732,700,560,692,969,551,741,122,361,
060,376,032,531,355,431,414,855,997,094,038,670,559,973,746,199,719,614,825,
083,422,827,910,314,250,404,729,043,642,699,318,626,192,660,158,220,425,098,
890,515,047,346,399,642,263,984,797,243,057,138,464,010,590,663,994,964,008,
568,927,355,808,432,182,107,268,856,823,605,840,447,474,172,737,439,245,154,
629,691,765,081,426,636,329,037,854,679,385,575,837,998,775,301,486,906,777,
691,994,147,814,697,709,282,728,018,672,415,410,789,855,195,148,769,440,783,
659,589,073,699,147,823,549,536,051,652,541,244,296,413,479,984,793,023,170,
406,478,939,929,754,962,560,777,983,803,196,878,758,446,705,317,192,710,161,
336,664,367,733,746,763,143,916,017,722,919,308,830,136,829,846,970,909,259,
181,478,466,912,007,862,209,868,066,107,110,450,388,015,610,771,529,616,809,
496,743,784,284,524,914,879,697,417,964,715,604,036,817,824,120,713,258,452,
947,351,330,598,037,378,177,014,250,848,860,622,323,750,497,777,626,142,143,
611,583,042,717,882,810,050,359,481,609,489,615,412,060,018,040,046,787,343,
081,931,258,474,456,550,157,862,119,392,833,751,487,732,472,439,113,183,221,
451,143,392,506,828,096,741,683,934,732,063,386,009,819,974,248,043,855,019,
231,745,095,363,412,410,061,286,444,901,243,805,845,242,550,307,114,472,271,
282,844,741,467,779,563,522,580,030,715,807,728,524,703,424,471,796,238,113,
456,095,712,369,776,559,433,708,682,043,106,042,591,508,090,868,699,757,985,
591,936,785,374,866,505,664,323,115,670,252,593,156,885,511,831,843,516,654,
949,151,066,928,000,340,632,175,151,672,442,246,604,040,297,334,279,750,841,
203,562,467,809,633,779,330,536,879,179,951,394,998,849,641,231,358,285,766,
483,209,080,269,165,551,391,720,320,257,865,865,640,637,803,179,179,589,346,
957,763,995,141,565,904,131,866,911,493,384,021,743,245,613,198,065,423,424,
515,733,016,656,667,103,899,129,656,874,144,678,506,766,155,066,046,987,699,
579,793,518,401,633,806,560,705,778,408,052,193,073,479,159,007,673,804,148,
729,904,419,384,518,135,834,322,489,273,949,577,950,305,116,944,052,225,592,
531,752,188,049,136,228,199,073,876,249,027,200,240,174,135,300,838,522,021,
357,243,632,922,098,433,305,146,145,853,292,639,834,268,084,797,668,339,269,
766,623,522,619,018,561,455,433,048,688,270,992,841,662,879,914,484,145,846,
179,827,995,543,832,615,066,336,866,480,490,208,205,189,454,155,288,302,518,
856,250,171,790,855,704,137,004,538,270,129,490,636,428,837,158,423,829,878,
490,937,631,618,907,307,148,004,969,777,057,599,701,506,920,235,931,101,661,
042,032,423,803,149,667,933,345,476,777,099,743,574,488,389,966,871,562,638,
553,513,571,608,489,267,861,316,089,688,880,611,776,348,815,252,187,012,373,
216,659,633,641,778,720,827,718,842,933,381,010,565,019,949,189,444,973,059,
094,878,260,751,309,846,694,340,482,573,074,560,942,922,345,146,144,601,800,
766,416,928,530,487,757,056,018,990,937,482,428,515,247,455,298,619,857,482,
997,688,506,273,423,961,118,028,970,628,601,877,010,287,136,437,021,379,718,
295,814,638,505,774,071,011,199,007,652,798,820,490,052,206,177,331,129,321,
767,681,567,900,465,916,769,052,463,174,780,855,379,430,672,669,897,532,552,
360,938,059,077,665,350,231,609,664,010,450,904,115,379,031,239,914,890,336,
824,172,982,875,339,555,793,571,150,807,403,205,891,344,547,606,479,960,234,
430,450,064,644,360,545,858,804,423,007,879,500,920,022,348,599,643,129,562,
775,330,197,526,159,009,606,454,314,401,081,695,730,989,013,520,534,267,714,
056,999,894,854,394,630,766,814,281,545,925,615,183,345,066,588,436,166,275,
880,948,719,008,013,227,900,208,051,151,284,239,711,232,624,570,559,919,886,
510,941,491,063,813,950,854,938,970,184,713,286,053,093,039,237,349,519,257,
410,311,549,946,602,687,996,924,886,162,652,785,389,633,282,675,836,284,904,
990,796,761,593,233,837,219,755,350,309,134,604,591,062,647,179,476,745,491,
743,360,671,890,558,667,244,532,344,133,384,277,631,586,958,163,483,890,134,
744,227,759,801,151,798,411,836,317,498,127,090,700,376,339,131,556,051,043,
541,285,930,805,334,129,221,862,728,907,949,778,385,758,251,330,596,038,911,
995,414,591,985,890,437,851,490,946,304,303,937,969,931,858,278,376,928,384,
713,483,005,657,059,908,718,479,289,134,761,415,682,744,847,882,020,200,480,
795,470,263,599,860,313,604,400,538,559,154,645,871,519,578,343,604,328,722,
920,493,867,880,953,010,633,554,397,344,589,355,392,661,531,328,968,856,831,
540,650,641,404,476,937,221,298,894,688,716,964,413,881,569,426,330,715,125,
809,256,966,841,009,485,926,821,702,716,955,484,647,919,718,659,330,990,509,
294,775,759,681,085,242,456,733,472,956,154,282,947,387,881,461,533,076,546,
640,272,628,126,228,970,594,369,042,048,604,627,031,527,244,426,260,984,519,
317,765,999,870,713,111,091,668,279,909,058,786,974,091,731,262,631,829,632,
606,620,209,046,817,306,392,979,502,196,359,956,664,673,770,481,175,653,925,
787,527,706,745,921,936,787,885,277,816,454,657,273,551,938,529,936,460,897,
092,941,001,373,793,456,540,672,111,486,018,786,311,124,503,060,524,691,501,
582,742,129,417,312,672,478,631,215,938,804,364,846,598,514,081,478,508,574,
031,273,507,944,123,697,623,722,179,823,054,328,608,520,086,353,110,658,348,
084,041,026,952,710,005,145,774,147,397,424,161,139,314,336,175,042,543,852,
029,321,660,800,376,001,960,735,530,614,218,576,605,799,151,969,399,104,300,
283,137,817,630,456,470,996,401,763,762,970,686,591,089,809,722,650,936,079,
088,375,631,792,304,190,530,771,266,444,720,278,563,188,800,701,464,466,683,
590,152,957,388,373,409,046,493,508,236,941,440,660,266,230,939,024,466,994,
776,859,988,441,587,613,986,845,436,170,711,319,575,142,149,311,588,309,537,
178,143,056,950,638,427,730,389,904,286,027,071,113,770,585,656,606,831,392,
527,660,089,465,166,757,356,219,640,196,010,565,250,627,237,274,309,357,984,
582,605,766,844,993,678,542,440,834,937,776,862,817,955,818,185,423,563,141,
609,075,028,836,422,953,356,706,823,827,443,960,800,361,724,408,732,544,255,
926,078,616,148,461,082,310,745,052,235,919,458,401,980,294,381,099,238,513,
980,465,639,949,422,037,377,290,572,457,664,061,636,618,442,967,396,269,261,
688,117,148,065,743,417,718,401,355,861,497,964,440,325,473,037,279,710,662,
208,712,120,110,220,061,503,052,857,559,725,321,195,582,643,013,931,909,760,
036,843,161,230,777,978,643,561,172,301,151,529,683,063,180,257,556,548,174,
598,391,236,461,156,685,962,918,225,368,329,798,353,542,330,997,109,033,684,
359,177,420,001,758,079,143,028,533,812,185,129,215,097,111,315,947,070,361,
079,912,690,977,029,240,379,999,792,383,578,298,167,563,950,240,085,292,180,
067,219,453,436,207,725,374,034,396,105,020,453,261,385,579,641,490,829,940,
822,054,095,514,616,124,728,322,290,676,707,276,026,965,263,108,555,230,117,
721,017,471,155,133,877,526,989,305,226,455,782,879,064,083,538,856,391,907,
698,789,394,206,227,564,786,195,689,834,374,039,596,052,143,293,887,669,212,
684,859,751,479,284,150,092,739,258,831,497,128,541,629,168,908,393,908,710,
939,250,096,926,052,624,913,517,509,379,213,873,294,315,346,392,968,932,918,
566,214,221,795,368,976,335,184,013,279,306,748,311,956,363,434,295,459,747,
581,240,633,985,686,365,113,641,226,992,131,060,268,423,734,640,344,621,100,
525,269,273,582,127,010,810,913,133,541,461,138,752,792,066,019,772,209,067,
495,620,363,018,543,453,972,840,519,945,942,626,415,494,211,401,874,625,827,
249,189,102,095,410,475,849,879,906,967,715,241,186,027,141,932,483,668,045,
800,049,069,501,587,155,419,619,531,998,701,571,983,569,208,481,073,407,340,
041,395,666,818,403,891,795,146,680,682,081,596,367,267,793,554,759,812,037,
038,460,566,562,422,471,762,152,766,595,577,150,726,355,451,277,916,867,085,
159,352,023,002,780,073,668,769,554,196,786,485,384,766,922,141,550,029,738,
361,442,848,229,595,532,963,122,267,416,475,068,852,751,286,517,352,359,450,
344,928,947,940,932,304,887,941,901,483,638,241,131,552,310,163,664,286,392,
731,996,615,099,041,085,744,624,655,325,020,252,451,931,423,102,208,613,471,
507,461,337,185,008,848,795,124,525,000,739,998,030,813,244,817,484,217,677,
034,261,850,457,773,344,617,651,994,603,654,864,759,303,401,361,500,488,576,
060,568,859,967,481,375,128,993,998,144,586,167,094,177,744,561,596,620,864,
487,628,671,782,773,699,215,327,953,117,795,949,180,085,017,481,082,793,844,
120,469,079,910,870,706,387,416,495,075,103,045,160,361,132,405,494,169,386,
124,346,533,580,235,469,239,498,632,337,017,385,254,582,578,680,219,046,221,
291,231,827,675,234,657,968,454,130,296,808,236,580,828,557,677,288,309,248,
784,508,214,329,705,859,792,038,052,381,213,569,785,681,869,197,684,877,809,
490,719,323,577,144,305,255,510,046,964,428,852,489,017,009,737,436,991,927,
341,461,081,609,177,953,812,738,089,684,475,102,984,953,513,437,075,858,522,
339,043,289,051,771,910,705,820,000,367,695,564,511,241,463,270,763,105,125,
241,310,807,476,360,177,237,861,718,028,893,386,079,206,432,045,511,389,580,
127,405,178,320,083,031,717,179,209,456,550,305,969,101,096,483,204,852,218,
707,885,158,602,578,338,058,194,993,230,852,461,832,556,743,520,196,710,944,
213,809,013,002,457,570,041,719,593,641,699,895,785,821,511,062,452,146,943,
630,846,665,884,770,689,301,204,363,267,573,441,326,694,172,804,160,682,592,
192,251,243,989,745,582,893,588,900,336,969,657,524,922,198,218,775,677,114,
222,694,613,984,074,272,579,689,319,612,230,209,319,274,150,471,576,220,622,
563,852,714,117,249,455,238,073,444,702,823,126,973,354,090,081,341,957,314,
852,598,344,830,428,631,924,036,352,589,923,253,917,163,397,433,137,815,743,
632,741,465,681,477,835,582,370,797,217,290,317,241,699,664,499,183,806,610,
489,156,200,499,380,126,338,169,464,640,304,555,284,865,529,956,497,117,677,
005,907,969,470,037,689,427,762,872,725,959,785,108,674,878,147,627,043,842,
284,340,828,995,987,536,431,704,541,934,138,035,275,998,328,691,366,588,317,
743,346,409,632,344,832,837,912,533,961,768,389,585,440,515,150,671,372,053,
080,221,589,002,470,434,859,252,215,790,678,345,443,007,485,312,874,302,611,
401,183,303,206,373,275,567,563,237,741,780,443,638,578,667,575,669,462,671,
151,195,745,416,194,362,450,508,103,561,059,800,388,254,580,201,729,329,718,
302,209,727,527,333,841,091,362,037,916,711,444,753,169,052,791,967,954,554,
885,927,759,174,032,743,676,726,603,976,025,787,519,831,800,255,668,729,255,
443,364,880,848,087,744,486,964,652,660,155,325,678,222,955,763,328,059,045,
317,056,551,121,853,220,337,870,095,146,988,463,288,270,826,869,879,012,317,
171,850,348,086,945,893,672,296,710,702,657,621,256,792,080,669,153,750,718,
103,226,677,596,705,253,700,228,196,965,375,581,193,851,963,398,332,721,760,
259,290,567,097,388,066,205,004,378,082,366,851,047,736,703,891,945,246,200,
324,303,455,382,103,698,160,104,987,456,665,393,527,003,335,389,778,831,588,
688,093,485,160,488,597,366,287,406,540,314,689,011,440,367,903,787,878,899,
037,714,150,379,972,049,372,080,271,021,305,575,293,363,076,784,574,638,497,
581,385,712,665,833,606,804,958,012,617,476,752,524,103,040,005,351,653,477,
866,728,837,369,901,724,642,414,269,494,568,818,043,885,615,243,694,377,564,
561,752,432,773,848,902,205,225,281,190,164,671,138,298,200,898,651,149,826,
823,371,129,919,924,535,057,546,480,767,432,833,197,016,591,034,009,528,146,
044,710,703,029,564,838,535,980,063,583,703,374,164,628,570,838,180,777,901,
346,585,868,871,294,925,469,636,694,454,571,304,893,520,800,277,809,380,283,
314,400,575,663,308,339,601,127,869,012,975,740,089,225,432,804,615,221,659,
454,190,137,337,831,249,265,996,440,277,852,453,145,724,422,296,887,811,292,
194,776,571,178,049,422,249,459,510,636,738,393,158,334,397,051,512,712,239,
691,547,051,076,728,178,644,747,391,965,212,956,992,073,199,123,869,272,151,
258,989,661,679,661,111,949,293,869,977,598,132,371,942,517,447,299,130,091,
166,930,191,127,828,510,197,092,140,079,689,134,789,392,220,561,487,933,437,
865,302,644,773,653,118,023,406,999,744,426,623,082,018,958,013,626,599,310,
207,751,170,087,784,119,845,428,857,857,548,362,258,917,426,973,896,803,980,
849,662,514,778,672,850,903,332,527,146,024,688,952,924,730,850,082,389,503,
314,335,273,637,976,655,336,967,806,984,911,063,454,313,298,194,028,010,880,
221,041,492,964,206,089,665,078,407,874,875,888,415,905,460,143,978,992,598,
005,085,874,185,854,756,318,855,312,590,843,148,268,174,348,109,640,372,107,
012,934,099,284,480,148,523,429,971,934,592,346,654,425,063,215,190,205,576,
651,808,872,086,613,105,366,890,390,071,185,362,142,376,248,509,953,282,793,
080,602,753,773,386,660,471,238,901,285,922,481,107,689,020,367,519,514,847,
173,030,964,997,221,466,657,127,176,909,612,187,775,806,591,024,575,032,488,
959,415,651,667,009,883,479,074,413,543,063,954,602,904,894,001,592,060,548,
065,996,414,359,408,953,061,344,995,334,547,244,446,791,036,694,310,618,522,
877,971,922,575,081,761,696,026,612,637,643,806,786,967,773,224,949,302,761,
551,662,788,708,961,885,867,035,401,715,726,115,560,016,835,028,313,981,897,
821,454,847,535,998,081,058,441,805,258,247,082,314,512,327,805,278,820,344,
293,964,421,019,210,067,414,459,972,451,615,010,177,887,981,182,463,981,510,
728,597,853,549,190,907,706,312,312,415,132,239,382,622,704,735,825,228,919,
451,741,919,840,658,207,614,350,401,200,003,532,451,950,016,674,856,614,044,
237,185,863,720,333,705,948,196,054,288,962,889,423,883,269,812,352,904,924,
566,793,056,128,053,590,372,020,673,840,805,811,966,574,889,117,935,433,463,
698,544,070,033,259,879,922,183,107,350,026,251,127,654,704,969,413,923,549,
634,970,883,115,722,747,816,293,354,581,562,644,889,752,225,432,763,500,101,
541,983,142,662,114,109,563,516,689,931,215,592,225,911,366,445,288,217,635,
882,193,531,135,328,190,985,046,628,593,988,337,073,613,622,632,944,013,202,
166,608,904,490,110,319,566,762,905,013,936,402,998,701,150,169,956,998,858,
215,586,329,181,328,764,307,610,401,986,607,178,047,317,126,480,065,038,738,
565,099,844,538,505,633,092,577,182,870,714,977,099,579,529,995,267,267,107,
008,366,734,648,010,049,804,769,534,126,122,305,056,847,221,496,970,195,759,
686,495,649,169,086,347,744,723,635,012,365,028,339,912,498,825,718,074,469,
430,183,490,342,313,808,499,585,001,706,029,553,945,575,137,414,847,680,868,
997,311,718,406,808,995,099,748,041,364,542,031,017,902,968,731,177,284,429,
944,276,548,088,502,738,156,755,992,681,438,061,344,612,052,076,803,238,974,
128,322,100,025,617,965,217,235,814,342,588,761,091,034,299,592,679,172,335,
400,056,083,706,542,128,871,041,975,762,730,145,833,717,131,042,134,902,764,
425,905,473,609,057,880,007,046,807,326,790,823,727,396,974,113,372,601,455,
219,987,056,476,664,055,888,824,297,557,242,913,057,500,689,883,245,997,419,
050,341,259,687,212,125,207,073,619,541,582,065,917,919,069,418,627,800,464,
147,898,902,677,630,193,126,754,465,079,126,312,264,386,153,504,174,391,941,
165,932,231,528,888,865,198,983,379,617,200,736,491,538,970,531,693,828,002,
452,129,380,660,727,683,962,132,890,072,644,574,001,358,103,369,806,661,576,
906,905,570,732,165,940,002,267,295,557,596,176,160,421,706,478,134,358,268,
404,542,574,269,130,088,577,582,396,517,421,028,096,866,113,782,432,579,421,
286,119,898,067,513,734,051,312,042,509,877,985,519,260,708,772,797,476,020,
770,681,207,739,211,839,724,194,941,749,001,510,188,549,016,327,835,653,337,
400,287,387,426,323,920,898,575,401,343,178,037,333,700,135,311,607,873,113,
350,185,644,753,048,903,658,581,392,267,453,442,318,013,262,633,415,275,727,
740,487,714,410,707,886,897,288,233,358,314,288,667,091,338,314,428,891,322,
600,986,744,657,422,816,746,659,865,664,429,193,750,596,009,850,263,566,293,
608,399,351,898,598,229,110,768,682,572,738,070,144,161,566,359,391,286,478,
877,502,579,419,740,098,885,894,348,755,856,609,496,399,688,121,391,891,977,
814,566,225,458,726,706,554,502,364,671,740,989,157,224,164,368,410,165,738,
138,520,274,511,087,937,378,885,137,010,462,249,312,039,768,230,572,361,763,
744,968,706,318,495,297,282,249,087,168,253,671,264,858,942,116,977,755,805,
127,800,353,667,397,326,811,512,927,904,631,370,823,182,693,010,221,438,729,
424,035,171,618,476,674,729,454,944,619,431,892,554,354,240,720,007,736,405,
278,205,548,906,251,252,703,548,388,025,376,829,173,907,111,501,215,459,813,
361,989,005,348,568,704,506,867,103,761,814,017,794,909,866,016,266,539,921,
995,504,943,007,571,224,792,911,713,570,672,822,104,997,792,528,755,251,917,
259,000,541,788,755,386,164,459,203,064,645,612,454,802,396,644,863,585,319,
267,664,689,786,689,730,243,742,776,160,776,656,047,257,921,659,121,658,066,
357,607,453,024,024,366,947,623,772,315,092,527,504,428,455,336,818,160,118,
534,199,814,150,729,147,908,422,525,423,596,238,442,734,348,061,394,768,390,
724,132,407,705,610,136,936,702,908,863,560,840,004,610,566,549,585,141,373,
486,301,198,458,511,386,555,066,642,517,456,718,467,335,088,214,332,521,110,
436,512,095,860,285,317,119,652,775,569,424,855,937,215,306,388,501,693,657,
963,951,061,215,845,064,289,501,086,554,329,234,874,542,734,768,348,310,298,
333,663,419,837,962,232,647,326,393,743,184,776,413,242,754,285,479,859,680,
436,038,107,804,421,297,376,824,860,453,642,513,984,537,791,253,415,607,525,
657,030,343,156,894,356,587,856,457,583,196,434,482,486,977,257,352,875,885,
417,192,574,623,885,030,629,799,003,802,880,875,552,943,692,341,453,743,507,
505,996,909,233,915,196,895,855,549,205,050,431,499,666,691,360,622,997,220,
547,563,272,836,367,088,972,543,665,372,743,664,109,654,384,902,420,746,425,
690,230,216,568,489,392,893,053,853,050,690,046,732,732,353,498,856,180,254,
616,884,981,810,585,339,493,286,975,576,873,469,731,700,203,275,368,003,023,
908,433,699,452,128,909,683,457,743,300,872,548,553,414,561,496,338,853,347,
096,766,153,804,550,257,157,581,274,875,828,823,762,936,247,223,226,898,289,
723,210,393,662,410,906,199,753,050,138,889,155,469,145,288,540,905,382,233,
673,596,711,459,172,114,734,398,369,314,864,912,264,907,639,937,344,282,834,
510,542,801,091,065,737,966,868,574,564,407,746,634,552,521,891,316,302,969,
518,242,567,094,101,532,711,044,360,500,497,925,222,016,770,741,821,784,197,
547,585,476,084,653,109,778,248,776,368,875,835,938,619,550,548,235,813,080,
101,938,742,357,610,276,591,124,452,159,744,049,204,818,459,723,443,951,384,
968,291,740,180,730,351,841,207,485,937,518,034,903,450,086,793,121,764,917,
011,082,710,704,686,240,261,048,298,659,570,307,065,172,050,485,017,273,789,
003,081,559,723,448,023,213,027,639,578,835,082,584,270,967,556,536,908,119,
439,357,020,391,107,412,202,953,230,843,188,561,847,621,868,682,882,475,676,
991,387,773,979,953,990,453,332,958,527,405,494,715,479,238,329,421,335,947,
151,386,634,846,831,080,863,846,129,467,732,573,464,634,123,058,618,142,525,
243,001,217,263,952,111,526,381,306,688,690,641,269,987,426,388,413,103,206,
617,192,256,804,396,059,129,954,344,374,088,348,829,569,590,253,580,844,639,
379,683,320,497,052,851,068,084,056,319,604,116,384,755,274,133,263,632,397,
296,318,207,345,988,109,600,029,266,972,809,645,970,622,783,189,918,252,909,
661,000,728,689,299,989,385,803,797,699,053,987,965,464,637,601,556,555,953,
868,534,870,765,891,846,647,941,593,476,126,077,664,950,077,933,180,795,245,
410,912,833,063,789,691,845,973,441,205,585,978,633,874,792,543,550,560,026,
276,037,195,325,457,996,040,962,046,887,498,186,748,969,950,155,816,153,605,
841,657,778,763,185,245,904,118,097,333,876,179,237,401,647,608,087,614,645,
789,643,197,643,661,545,400,610,912,477,746,120,252,127,654,766,082,816,444,
607,930,609,869,948,874,463,020,875,597,489,456,390,220,612,209,882,925,320,
405,006,153,479,492,262,516,872,278,922,425,824,687,894,104,330,068,549,748,
511,044,151,050,195,362,293,655,063,855,281,911,323,161,547,982,035,362,889,
292,072,389,448,598,797,484,499,128,291,939,206,559,667,515,003,095,416,905,
312,993,349,861,764,290,354,796,471,722,886,227,932,746,981,141,157,241,235,
756,894,487,331,970,046,543,428,416,474,346,092,215,842,104,098,020,547,853,
582,860,889,739,262,159,801,243,971,143,064,395,358,139,474,682,791,191,854,
402,402,259,744,430,421,994,498,206,377,003,474,440,257,127,824,633,665,349,
010,721,946,598,296,551,366,274,615,676,846,697,731,501,722,453,048,682,354,
441,425,326,956,876,618,473,992,027,412,936,453,948,600,815,382,368,319,660,
439,740,494,761,293,407,117,775,589,021,646,300,979,004,019,246,509,134,427,
895,128,889,672,760,318,377,211,084,010,022,843,527,922,698,174,162,330,468,
665,217,245,226,902,119,223,560,910,625,530,146,480,406,651,669,521,838,586,
987,259,089,440,951,955,876,708,291,293,052,738,749,151,406,495,486,007,944,
199,504,100,651,386,392,871,906,001,827,387,409,344,924,747,724,267,174,537,
697,195,570,752,890,310,982,191,939,508,001,127,486,881,412,364,408,178,042,
410,350,419,562,934,919,797,612,343,288,822,350,065,063,735,800,709,959,253,
495,164,067,400,634,054,605,126,208,815,491,314,350,990,383,290,939,583,272,
558,255,613,876,827,873,834,364,081,733,957,633,625,956,458,293,305,707,549,
491,431,175,981,881,273,712,127,073,487,149,328,105,523,389,131,667,845,895,
990,593,187,242,501,179,878,028,342,427,536,337,488,254,199,609,920,891,627,
997,644,626,827,805,846,212,903,075,045,518,173,432,855,928,078,620,009,406,
019,515,911,903,011,075,386,821,926,306,700,058,114,170,580,138,450,533,569,
769,017,929,848,227,087,690,289,782,002,521,617,161,709,802,748,003,563,867,
719,634,825,183,770,351,497,493,271,097,047,612,353,363,854,611,457,581,290,
419,214,343,485,136,682,258,010,577,625,183,451,685,256,493,905,202,132,796,
942,895,820,864,219,343,587,075,884,427,996,333,992,658,067,233,429,392,768,
586,350,219,456,726,800,450,269,253,213,600,616,733,777,638,737,993,199,445,
011,472,525,745,838,625,078,965,462,245,402,942,831,718,467,812,395,412,500,
077,964,537,006,982,484,116,440,703,939,128,826,839,362,883,639,540,267,016,
941,690,164,996,710,604,016,607,843,740,960,636,291,164,304,189,875,961,319,
130,268,022,532,252,864,607,215,904,533,967,646,051,303,212,260,023,486,454,
155,490,115,283,763,254,215,330,391,412,267,380,174,508,302,676,927,416,990,
204,550,204,266,523,776,495,704,571,857,218,756,379,169,068,575,454,000,317,
049,386,017,207,892,902,533,044,144,972,482,351,955,699,037,583,910,634,966,
195,351,693,478,743,515,866,693,974,548,516,169,619,597,264,161,642,563,688,
381,561,974,720,756,974,814,650,467,825,127,283,574,705,106,429,452,624,573,
029,797,586,038,683,360,081,350,041,372,309,242,767,755,262,212,631,200,089,
690,957,815,723,684,753,026,892,304,236,987,888,769,156,835,888,713,661,975,
191,413,676,606,052,996,697,720,609,514,679,682,305,053,410,394,755,105,780,
603,888,741,668,618,132,331,219,539,665,219,915,835,121,692,814,396,590,022,
393,376,329,657,649,211,661,809,806,475,556,452,216,107,070,901,786,111,306,
612,044,848,625,300,216,987,828,283,046,248,980,163,451,491,490,697,710,012,
497,133,631,900,491,436,824,932,937,291,922,083,236,054,539,683,968,505,248,
054,821,060,448,048,015,777,651,034,945,415,081,434,885,635,189,520,710,213,
000,696,034,383,939,347,936,992,489,753,126,025,868,827,372,651,517,380,957,
493,658,616,059,705,437,096,710,578,129,489,045,040,744,483,904,043,840,731,
641,619,478,720,143,748,343,865,898,777,018,720,050,107,235,982,933,606,900,
455,488,455,562,035,692,172,566,869,441,511,512,503,611,216,978,308,114,059,
099,354,517,706,284,408,291,359,805,256,721,275,554,697,221,866,391,524,353,
305,136,255,263,982,508,459,965,710,739,702,913,761,559,249,982,304,545,932,
995,748,456,346,115,812,201,256,957,326,802,785,154,600,955,670,450,495,574,
685,990,844,313,099,958,210,141,406,553,611,748,462,987,768,629,227,063,000,
150,342,872,654,267,492,587,260,858,002,224,847,521,809,967,051,837,508,218,
781,914,840,157,373,906,743,329,309,332,761,893,375,053,089,152,892,643,011,
163,028,226,279,755,372,100,197,015,712,226,572,188,922,383,184,719,870,130,
050,900,591,727,106,895,501,763,426,450,741,199,916,326,727,849,114,755,959,
352,149,320,505,167,090,368,690,817,589,854,691,082,226,760,103,819,930,589,
115,319,217,148,695,885,952,811,320,216,179,123,207,875,773,660,392,576,311,
347,291,759,702,705,365,065,474,739,261,472,154,186,801,495,212,694,459,293,
594,319,854,037,415,453,532,499,306,777,770,050,171,808,319,885,078,311,681,
620,138,134,110,104,305,992,054,924,978,736,026,649,568,115,960,596,868,280,
867,839,555,911,277,859,278,918,927,160,203,182,236,251,016,689,145,793,027,
147,819,183,768,198,948,790,789,631,456,988,692,938,665,449,874,721,720,511,
220,515,608,006,655,153,568,804,245,208,340,482,574,767,288,005,606,231,519,
191,826,085,829,830,195,877,608,815,023,913,158,426,352,266,263,502,771,586,
591,933,887,913,893,657,041,470,311,887,685,530,615,869,327,259,120,182,187,
769,623,241,179,039,573,540,833,219,724,774,981,905,941,702,243,401,002,732,
515,230,303,932,344,188,680,329,629,012,546,295,549,258,210,079,370,148,453,
603,465,934,776,636,531,942,585,874,925,547,420,557,838,693,975,721,825,746,
510,528,550,526,521,087,522,158,282,704,254,639,738,557,931,727,025,452,166,
999,190,236,248,610,971,567,011,452,567,951,576,989,959,313,343,787,026,880,
327,672,807,048,864,325,892,768,248,767,312,469,652,100,895,621,531,446,385,
974,983,650,848,219,325,208,539,263,701,412,490,084,482,876,328,117,002,606,
655,813,697,156,586,331,396,002,694,268,911,113,288,775,931,923,482,614,957,
216,379,413,187,605,983,463,693,308,614,469,541,711,990,906,633,768,992,877,
671,270,005,353,215,936,046,689,918,653,849,157,961,451,315,613,768,440,030,
865,903,979,790,907,327,284,480,376,000,516,920,342,434,720,333,830,731,527,
583,293,907,555,920,945,355,403,569,766,977,172,908,065,540,949,237,371,111,
006,416,662,764,228,288,619,386,391,210,472,668,527,649,172,444,941,774,722,
103,126,109,247,192,364,038,654,304,446,234,551,135,505,401,796,403,963,585,
079,139,428,143,999,584,911,620,293,473,244,850,153,841,613,110,510,897,639,
819,333,275,035,431,976,671,313,554,984,161,343,584,696,166,319,329,694,351,
509,571,849,582,589,317,033,381,502,974,692,491,249,954,865,086,266,142,245,
130,666,502,176,586,224,568,616,684,861,086,900,828,974,556,011,176,581,795,
313,459,035,874,796,097,457,295,207,059,661,062,735,841,010,838,290,563,218,
459,906,191,425,206,958,015,870,612,027,184,724,029,156,724,061,823,571,558,
144,999,642,576,272,411,340,857,696,384,750,811,978,831,831,625,699,831,286,
229,141,659,116,856,761,426,189,462,694,693,587,028,351,355,618,670,083,570,
590,871,839,200,916,653,228,236,225,822,107,251,063,600,804,004,758,429,610,
056,878,242,872,289,930,454,727,540,560,593,625,218,978,188,409,964,982,067,
829,216,612,467,317,922,873,405,113,733,065,569,099,097,697,774,503,852,635,
822,634,431,135,519,286,834,960,458,861,229,145,016,979,871,681,511,638,167,
228,247,883,132,112,018,531,703,013,434,045,564,697,009,370,143,943,512,399,
834,437,924,052,772,883,832,736,548,675,349,547,761,497,819,459,290,430,345,
031,056,896,604,237,457,177,982,575,755,813,605,470,068,693,275,762,763,617,
460,365,868,197,033,699,458,256,793,825,509,509,376,688,280,677,968,091,973,
762,677,500,975,028,573,734,888,972,416,279,485,891,716,542,688,628,651,596,
576,617,505,091,061,287,250,855,739,215,662,136,116,863,155,445,954,206,092,
095,420,598,034,476,670,689,417,284,887,564,306,360,747,577,378,034,553,550,
897,158,282,679,999,876,495,680,126,371,608,014,152,060,537,813,037,150,305,
223,189,230,117,473,251,972,508,226,484,439,531,738,103,795,988,838,359,283,
636,388,419,492,974,624,697,120,418,374,464,131,749,269,322,291,024,305,638,
534,752,532,368,145,772,093,906,673,632,139,269,583,184,754,370,493,040,325,
558,289,025,863,602,300,635,804,949,155,553,339,491,216,345,941,286,695,972,
190,642,454,735,051,351,043,392,730,643,449,334,620,046,506,612,054,419,322,
193,804,989,041,179,889,226,591,594,002,799,507,097,789,103,967,177,824,119,
189,553,349,007,890,965,207,044,792,801,724,311,248,715,619,359,162,662,807,
086,636,253,670,448,397,197,504,765,773,657,759,938,629,362,094,285,171,330,
366,289,802,677,696,205,926,878,409,165,364,758,411,491,379,976,138,893,902,
146,967,143,619,840,500,850,336,479,113,993,766,470,719,309,706,972,937,924,
427,362,491,844,960,677,093,299,235,079,727,373,398,282,666,616,476,020,182,
245,267,713,327,861,803,955,983,164,723,794,843,702,407,627,265,912,575,729,
783,914,663,084,450,090,019,569,456,509,736,904,568,972,381,616,943,647,254,
603,584,288,653,929,887,319,567,639,852,586,896,674,780,022,785,141,284,581,
359,362,230,823,008,606,616,341,043,659,261,343,277,578,649,597,085,575,384,
456,280,070,646,730,200,398,115,327,836,301,811,148,618,158,553,753,657,818,
605,661,002,935,738,504,368,727,888,954,385,699,387,849,907,220,885,571,148,
381,790,904,626,117,198,172,976,781,929,126,869,523,937,278,924,013,529,337,
514,066,585,093,724,782,113,089,858,696,425,774,759,087,508,972,383,225,274,
404,635,428,206,812,306,307,564,038,505,850,607,844,112,307,352,821,009,329,
651,671,940,199,776,745,595,707,205,332,785,027,270,127,448,755,272,139,169,
811,106,037,496,995,224,261,782,141,798,505,707,863,097,457,685,587,683,478,
127,666,961,693,910,839,844,937,558,478,406,953,308,566,374,291,060,279,606,
868,272,825,252,716,777,121,459,450,875,532,008,544,723,049,175,612,045,617,
273,550,440,934,596,879,540,740,717,850,271,341,172,289,548,241,445,824,643,
493,011,669,937,443,304,915,908,658,771,039,464,929,223,365,971,184,104,987,
974,495,453,716,442,559,159,351,068,383,322,881,755,670,711,974,281,329,220,
258,355,287,513,585,419,989,524,840,073,726,270,163,456,658,941,376,731,442,
298,060,321,848,328,932,555,380,013,667,063,302,247,674,966,695,298,179,492,
504,732,602,411,924,590,132,326,878,184,769,746,189,302,734,598,131,885,708,
320,227,538,965,478,696,809,369,220,935,285,624,962,304,856,691,169,715,970,
804,069,756,175,694,830,545,378,061,956,248,810,556,875,815,894,105,242,534,
525,114,455,584,832,973,722,956,410,059,193,616,075,880,481,780,293,799,824,
525,308,187,619,446,910,327,097,512,074,437,918,237,934,395,875,421,835,774,
486,616,076,579,618,927,910,662,801,784,395,860,187,397,325,189,990,479,089,
534,282,084,531,116,895,575,021,020,080,317,556,112,682,884,587,752,058,060,
424,723,523,902,585,747,233,953,999,642,565,643,091,422,322,299,749,956,629,
466,779,147,762,974,354,585,711,753,812,648,578,565,235,688,189,406,862,714,
251,047,375,876,541,334,005,339,111,443,174,349,915,363,784,423,636,644,895,
693,460,822,481,556,166,738,251,516,125,075,552,679,234,539,615,537,635,130,
720,368,410,841,894,039,481,787,383,869,822,654,007,309,246,615,852,847,097,
792,114,978,675,243,648,416,318,084,173,971,286,553,419,936,925,378,863,856,
223,402,129,668,865,196,374,786,191,437,883,359,273,984,030,235,654,426,501,
849,525,709,978,964,195,735,556,646,363,553,286,017,863,317,798,383,806,026,
440,180,186,066,997,501,330,846,517,868,695,380,046,714,758,550,464,044,117,
886,244,864,410,193,128,505,769,222,889,316,295,464,339,600,909,497,816,828,
030,202,037,086,225,987,610,823,774,313,183,810,714,867,599,808,172,375,042,
126,635,009,447,275,633,206,250,591,758,324,320,370,651,704,531,445,581,226,
230,633,632,033,886,747,975,547,482,008,012,472,529,866,059,510,333,619,243,
294,906,381,547,907,380,965,923,055,887,366,170,924,178,029,956,796,971,747,
901,104,399,967,842,281,167,753,145,209,468,382,885,826,747,968,861,057,368,
702,137,364,517,477,250,663,170,535,236,641,365,957,170,517,781,879,046,207,
288,230,267,341,121,407,931,656,951,946,351,233,330,149,147,642,031,376,909,
517,615,896,883,607,944,944,414,188,099,873,782,959,243,564,489,493,731,426,
661,066,796,165,506,718,442,607,680,614,113,131,570,402,204,993,541,946,365,
739,601,387,683,062,685,860,669,026,975,008,979,666,829,596,721,046,213,071,
324,054,730,528,879,060,485,331,210,229,701,605,831,741,914,581,566,781,130,
739,938,352,360,965,073,371,696,905,014,985,278,206,417,229,300,932,004,212,
848,601,010,513,075,508,166,279,868,461,651,276,672,173,995,610,258,484,265,
975,839,495,990,188,085,979,978,241,173,287,922,821,862,272,009,161,753,654,
814,405,621,598,112,677,773,161,293,332,843,102,032,984,537,992,177,804,402,
054,297,021,514,148,958,167,424,898,317,633,927,885,593,313,302,337,530,001,
987,697,179,541,136,482,374,865,383,290,328,258,226,897,871,630,915,512,824,
457,978,166,308,105,024,236,509,105,038,825,989,158,461,072,039,843,177,746,
528,550,694,542,766,198,274,979,709,241,950,490,524,546,205,666,900,096,915,
499,810,838,814,196,343,452,658,459,926,807,449,210,689,706,834,979,512,916,
495,630,426,416,831,841,900,596,052,628,058,769,201,700,307,640,598,342,550,
731,306,161,442,943,697,139,712,812,356,861,971,108,113,464,045,320,326,871,
229,632,002,933,676,517,045,140,418,124,543,559,301,298,287,620,045,908,479,
132,827,049,003,642,596,444,779,857,023,287,427,560,039,223,449,519,919,173,
578,982,429,840,858,911,723,144,700,859,307,260,902,142,679,629,286,495,348,
084,879,822,557,744,501,995,701,867,008,613,286,029,557,805,344,932,706,405,
260,377,961,341,779,626,115,485,184,841,340,296,177,405,421,786,594,303,109,
036,877,988,195,729,759,509,509,171,160,238,277,096,111,057,083,116,416,676,
530,146,896,504,980,851,746,922,427,866,332,148,663,633,677,925,066,521,631,
348,485,891,220,834,498,687,973,338,748,589,242,453,667,933,732,134,076,220,
286,845,789,862,068,914,722,285,824,228,407,459,963,138,633,386,307,281,403,
747,773,533,445,061,346,704,904,246,629,237,036,217,530,959,583,788,376,098,
920,847,974,061,680,667,085,998,335,357,607,284,995,101,582,610,125,750,209,
383,663,337,169,676,598,347,978,841,528,394,084,794,824,664,801,107,540,371,
550,615,934,271,490,260,918,952,753,561,773,642,016,932,212,006,578,052,018,
057,898,219,742,540,547,489,138,490,871,116,051,359,074,849,349,930,578,631,
043,858,673,333,467,176,472,105,357,119,864,033,457,536,427,216,119,555,685,
074,524,691,897,357,610,497,736,534,180,843,580,857,387,375,225,354,806,394,
083,347,717,654,064,703,985,175,543,103,614,808,513,780,470,452,387,649,544,
237,070,520,896,115,532,368,412,141,348,886,127,598,622,328,991,608,261,594,
387,990,309,907,755,779,278,943,931,255,600,876,480,659,292,597,818,655,868,
217,779,740,241,053,737,305,856,524,962,678,342,691,666,016,468,998,717,999,
797,136,999,900,456,712,194,971,655,484,539,534,089,357,936,291,707,331,338,
931,780,795,277,610,238,973,039,386,090,249,482,298,254,493,662,429,771,535,
798,946,739,754,992,564,849,217,624,176,087,033,997,911,253,432,154,651,691,
717,102,087,693,434,718,892,583,221,373,293,983,917,411,477,928,929,902,629,
202,206,066,721,013,543,295,291,174,515,599,313,001,373,865,468,484,988,078,
285,190,178,550,187,380,541,803,445,747,621,433,129,014,218,146,758,357,131,
657,695,637,143,800,269,153,338,081,456,613,607,441,068,942,900,416,423,065,
673,180,279,005,723,719,254,388,741,847,362,547,697,726,319,955,864,847,344,
792,243,328,935,719,137,244,359,819,259,817,177,436,202,291,939,456,285,053,
148,753,985,932,113,308,465,151,282,770,048,404,143,610,531,499,243,599,992,
790,655,882,592,971,511,110,117,790,893,128,334,001,948,459,197,729,903,869,
913,307,462,880,676,310,964,205,200,142,836,043,688,256,842,198,371,506,019,
789,328,472,153,837,220,476,777,559,756,287,982,291,672,764,976,615,815,693,
954,201,914,092,658,154,076,487,771,562,032,436,002,918,251,794,132,919,188,
541,962,883,625,364,317,837,848,313,024,854,763,318,005,603,606,507,339,688,
537,182,316,313,785,374,620,100,310,955,220,126,429,981,109,355,066,059,602,
195,390,728,708,174,798,638,973,455,633,443,879,937,145,430,090,449,609,706,
939,286,048,941,047,444,320,789,373,899,393,637,230,379,320,341,859,120,483,
868,341,724,920,635,627,356,039,863,589,910,665,945,494,777,656,667,904,103,
570,246,101,594,069,834,386,358,176,507,149,391,990,750,802,635,370,117,377,
360,827,585,364,055,646,711,280,730,356,265,906,659,069,222,347,862,818,075,
722,539,981,130,144,523,678,567,806,301,590,388,339,237,570,433,464,495,888,
317,577,153,692,028,218,624,485,973,257,629,974,395,843,435,725,844,132,941,
212,408,261,426,008,013,887,478,162,923,196,259,939,591,295,079,227,323,381,
180,252,199,972,819,273,591,982,249,246,357,990,245,424,782,730,079,684,346,
064,309,708,607,380,476,056,504,691,001,179,241,103,588,783,459,500,563,135,
107,767,561,478,734,444,175,144,824,742,795,360,885,603,026,863,869,840,277,
925,317,825,842,380,216,726,931,753,696,611,351,677,519,873,883,572,948,812,
187,000,774,009,865,553,669,370,024,593,450,528,792,555,650,227,675,623,755,
973,250,316,231,987,078,569,090,868,154,155,876,460,088,677,480,928,389,022,
731,693,513,079,196,783,393,874,673,457,186,737,458,446,357,607,245,619,623,
445,401,273,268,202,466,826,041,231,552,634,649,739,518,861,738,305,205,126,
439,888,845,715,205,306,356,363,610,629,600,328,366,695,755,451,613,983,986,
059,039,372,548,842,030,375,653,992,365,931,510,547,033,976,034,838,843,582,
264,742,069,752,596,530,265,623,162,638,518,665,907,786,032,226,715,836,868,
999,500,960,375,894,573,506,311,786,447,379,672,724,889,851,048,391,850,903,
971,927,669,518,346,493,443,735,977,284,948,180,999,344,521,999,610,905,390,
729,576,278,358,304,909,933,022,581,428,370,625,011,059,793,132,041,708,013,
954,033,867,660,525,678,319,207,625,864,386,079,670,547,382,509,585,446,601,
599,399,857,173,041,510,526,228,509,799,671,871,063,928,256,478,744,479,712,
713,628,411,305,012,557,094,733,441,068,649,842,311,060,399,069,353,148,067,
991,728,710,772,335,248,297,706,567,015,819,550,197,910,564,467,747,590,696,
454,741,235,100,565,244,519,866,739,275,297,561,637,866,738,778,166,974,872,
177,848,765,572,767,051,038,051,298,629,131,374,932,253,717,947,942,466,095,
258,053,224,653,789,398,877,188,692,391,310,493,594,711,158,582,885,998,752,
916,648,738,161,890,970,686,058,673,153,903,939,153,919,980,892,809,531,710,
956,466,109,733,186,348,874,448,878,777,912,952,867,615,311,754,269,908,735,
066,458,618,523,019,214,160,473,113,073,288,026,204,371,698,363,517,106,365,
269,848,624,361,584,129,129,045,189,521,771,027,108,062,754,837,322,501,396,
206,479,202,081,089,941,957,064,124,516,547,383,881,489,382,342,393,241,564,
502,391,396,572,200,164,532,188,424,591,301,033,803,890,775,408,914,784,801,
687,758,671,404,837,840,143,722,767,769,621,906,413,942,176,926,931,264,518,
890,263,473,104,624,700,999,433,686,899,305,099,840,462,140,585,869,757,322,
494,086,519,656,734,218,879,186,125,362,877,392,499,558,029,383,326,541,246,
266,735,541,258,118,770,177,762,288,587,553,459,853,589,183,016,815,071,110,
210,378,572,800,761,849,882,742,476,106,007,574,817,962,534,074,845,033,481,
588,064,123,409,767,492,200,500,860,691,094,296,472,316,448,136,090,947,632,
815,256,969,748,967,621,834,840,210,754,923,456,643,933,634,869,604,569,128,
387,729,069,957,793,268,388,366,336,992,885,224,854,577,286,284,060,495,121,
366,788,040,879,978,788,342,988,293,018,183,667,622,330,442,266,072,547,099,
512,842,837,983,973,594,954,796,803,714,689,970,918,874,137,924,965,409,485,
501,408,412,265,100,209,717,436,866,657,701,647,937,888,326,801,751,491,636,
941,669,249,995,968,556,088,339,772,722,408,528,951,277,244,817,628,718,046,
970,242,712,590,376,794,871,134,456,310,894,127,645,306,089,959,076,069,251,
416,611,743,099,671,323,707,901,976,418,112,102,240,595,033,757,061,243,971,
266,304,619,287,035,734,635,028,088,953,277,134,781,559,039,238,297,025,112,
718,847,251,283,058,472,666,019,632,846,864,444,565,688,705,025,515,783,817,
995,375,398,019,393,810,953,417,297,354,916,187,479,953,855,750,840,364,638,
278,599,002,796,227,251,715,407,643,444,791,955,138,180,790,254,955,789,762,
082,490,879,816,479,133,841,083,976,000,380,469,865,448,580,303,469,651,151,
724,449,794,692,780,115,098,179,154,920,567,437,430,706,773,835,557,636,254,
194,557,623,376,408,022,063,102,841,884,244,406,617,396,465,123,243,371,779,
337,171,875,650,728,334,437,376,344,368,837,366,716,344,661,190,956,629,217,
330,437,032,375,379,686,839,829,672,268,854,102,439,448,833,765,302,185,857,
032,038,679,335,443,104,656,562,926,868,293,625,534,508,170,845,291,249,552,
634,959,455,828,999,183,229,459,588,868,058,675,189,103,204,285,369,867,730,
293,982,326,084,086,721,519,322,242,142,639,443,103,023,820,699,797,856,359,
978,815,755,173,135,056,549,260,220,326,541,607,467,980,818,457,337,385,259,
184,485,099,797,381,357,302,236,894,493,435,361,446,159,290,007,905,923,975,
206,406,071,068,866,159,693,208,479,905,824,945,260,543,081,697,471,650,584,
544,655,696,620,574,738,587,632,781,904,476,242,934,005,751,554,999,020,681,
349,619,430,873,151,854,480,046,864,497,466,036,365,100,924,043,462,072,690,
141,112,756,540,859,327,910,445,350,040,391,600,756,734,026,109,503,930,155,
924,785,616,329,545,001,685,574,170,064,283,947,766,518,429,489,545,327,996,
447,416,610,754,400,491,990,232,537,827,567,754,825,197,349,944,642,243,518,
822,260,282,766,491,745,289,433,863,163,407,338,654,143,407,261,775,607,373,
178,409,015,313,825,117,620,415,630,207,749,848,780,133,966,689,164,956,297,
068,796,588,588,398,417,868,693,893,045,650,379,263,931,808,317,992,114,712,
148,609,504,549,942,748,304,953,868,302,064,881,447,641,048,650,955,718,011,
287,816,580,495,189,336,558,920,243,569,003,717,898,047,209,716,221,952,787,
095,350,848,512,687,337,924,233,239,584,713,488,601,074,988,840,783,095,000,
948,125,283,702,937,189,920,405,249,067,820,299,021,169,063,794,792,124,965,
789,949,457,117,492,092,871,761,159,381,665,140,651,605,793,237,024,123,814,
609,693,991,272,999,945,554,150,312,143,870,438,369,445,863,886,895,743,629,
818,317,775,781,286,118,722,812,519,848,636,541,820,719,339,363,762,956,991,
613,872,032,784,376,323,327,097,543,648,086,151,515,933,182,302,003,012,556,
942,699,429,308,793,091,902,788,102,051,884,438,951,592,433,486,167,225,561,
608,485,004,567,560,392,389,666,110,724,644,138,531,722,738,920,230,469,281,
847,536,201,295,775,419,640,562,051,872,121,228,804,563,060,419,331,362,545,
980,360,418,143,478,885,600,202,905,208,226,811,192,839,145,105,238,277,661,
929,770,799,232,200,372,601,695,778,006,113,239,834,298,114,878,796,574,716,
196,331,625,905,076,468,424,363,546,224,357,362,656,352,533,124,340,498,025,
938,442,396,379,528,263,542,480,992,479,348,068,621,970,198,555,789,386,728,
325,465,468,789,295,042,055,020,910,763,953,690,425,349,736,869,733,466,516,
060,918,418,532,171,445,817,508,923,498,052,854,768,074,909,942,771,166,243,
309,383,848,340,251,895,297,388,037,761,568,212,239,658,617,719,431,868,557,
210,086,154,562,433,067,700,499,872,544,116,809,361,844,239,618,186,626,020,
653,451,341,972,285,558,788,386,221,873,464,751,026,310,339,149,689,376,782,
967,828,377,086,132,208,130,277,067,291,259,602,001,594,042,773,856,871,908,
487,773,617,155,352,729,903,089,941,438,264,431,109,528,724,779,876,351,935,
734,855,411,549,944,513,457,303,523,161,316,774,165,835,808,083,140,134,419,
824,885,396,604,027,977,488,100,466,157,090,873,797,468,366,230,497,145,138,
887,360,202,640,662,190,426,982,638,920,011,567,677,414,613,268,822,372,456,
619,752,360,529,944,262,410,197,181,952,988,802,368,767,640,212,141,169,292,
297,450,495,252,288,971,012,156,452,465,343,804,031,313,765,221,913,075,568,
467,461,479,167,588,271,882,066,389,374,087,000,179,286,650,719,452,599,510,
291,144,490,510,004,535,585,771,373,036,397,085,125,820,885,525,804,099,305,
910,105,546,685,782,616,858,379,087,867,445,960,791,341,906,967,955,011,169,
537,708,049,678,481,349,835,237,997,368,516,545,502,730,131,767,557,701,325,
945,049,724,706,120,507,847,381,263,440,918,270,485,395,015,184,286,733,608,
642,064,984,573,918,204,158,016,026,706,839,941,388,644,828,803,034,083,065,
958,776,896,741,647,980,564,797,044,723,043,965,372,356,344,779,961,964,694,
815,242,041,542,818,622,905,672,137,692,486,214,296,301,602,230,066,151,461,
402,800,034,333,298,632,871,035,741,618,423,931,229,185,138,369,849,689,301,
189,541,871,046,311,453,350,357,607,074,251,076,289,838,549,245,158,803,889,
790,222,126,071,634,880,564,004,731,027,981,300,190,873,675,742,138,909,094,
218,810,584,400,866,736,673,339,330,508,238,981,390,331,870,309,657,199,515,
189,189,400,347,959,973,046,215,855,790,370,781,365,020,636,789,600,743,047,
263,096,008,452,305,590,206,160,181,544,242,286,296,655,900,799,198,856,244,
215,093,640,116,588,703,006,416,525,551,217,251,024,186,652,330,470,855,412,
901,179,466,981,497,658,362,111,676,271,265,739,514,752,007,967,753,454,573,
186,875,480,820,843,661,893,006,947,670,312,514,500,698,307,699,654,422,559,
247,840,161,647,216,105,436,511,541,772,804,467,628,886,501,711,920,108,099,
164,324,943,542,713,752,892,066,569,319,977,285,581,992,251,121,828,603,608,
102,910,253,952,472,126,662,857,182,543,393,019,669,887,232,039,479,409,473,
803,821,962,606,513,427,278,161,396,070,463,518,064,340,575,284,349,945,841,
647,887,431,801,473,551,027,933,155,157,385,877,303,842,066,668,063,269,836,
803,199,537,827,751,104,981,545,898,526,050,349,640,743,714,629,763,766,441,
705,496,620,285,278,115,655,749,464,720,871,220,313,612,509,566,858,434,186,
457,481,614,290,624,652,502,061,968,982,610,472,685,350,659,717,515,465,823,
075,742,325,328,117,437,560,522,850,767,715,980,426,298,914,734,041,751,457,
477,386,272,499,563,012,731,617,681,927,805,450,021,119,394,130,946,082,126,
738,834,828,615,909,785,056,921,831,841,359,850,132,355,098,455,056,439,649,
728,590,620,150,542,097,151,911,763,819,967,890,466,301,478,887,689,888,588,
346,054,423,178,837,222,108,035,216,130,362,090,585,366,566,372,459,746,017,
432,690,826,539,828,747,357,270,192,092,463,190,038,494,113,708,790,722,624,
290,582,530,737,184,091,272,068,869,809,757,498,613,038,400,897,149,002,815,
871,947,341,679,204,776,007,723,556,402,766,479,735,809,244,840,713,372,795,
901,866,521,281,050,168,276,006,384,778,324,807,365,138,169,357,386,360,958,
986,892,908,526,082,158,985,816,457,218,447,184,876,891,499,251,438,813,704,
027,159,551,878,080,015,187,005,086,634,820,342,904,572,895,385,859,045,009,
145,539,032,916,221,971,332,513,998,768,237,699,336,124,223,065,572,994,304,
559,821,529,093,546,350,952,685,545,446,294,364,955,208,344,842,625,625,793,
154,051,691,967,618,819,320,675,498,693,741,368,787,862,508,744,040,166,433,
892,542,994,214,855,711,172,584,403,757,437,394,139,044,104,210,672,362,138,
097,565,875,962,372,976,672,734,532,568,788,580,311,871,643,427,123,584,347,
144,504,419,808,902,994,595,728,025,759,183,397,363,226,138,938,890,161,166,
823,464,280,851,349,084,036,649,954,146,075,864,695,636,157,586,544,653,417,
342,689,517,988,568,865,905,435,692,790,143,346,778,693,763,178,805,166,536,
382,132,625,362,061,154,754,029,226,110,182,723,631,572,548,478,555,305,005,
578,187,337,354,578,315,713,027,346,121,732,077,567,576,984,235,867,620,587,
418,062,577,231,647,147,173,228,880,215,253,690,095,807,876,735,542,935,172,
574,068,472,461,472,863,151,145,523,722,268,370,847,034,381,105,396,447,433,
636,308,687,270,544,762,915,568,671,947,144,546,017,362,875,447,769,691,432,
634,318,055,312,488,636,182,965,117,163,871,694,653,023,265,468,658,573,643,
339,747,207,463,466,174,499,276,316,713,877,283,978,191,688,407,715,022,383,
756,426,559,208,703,216,141,727,414,584,967,450,393,768,535,443,653,456,735,
739,573,222,067,953,134,929,449,801,786,989,001,059,498,422,816,471,863,739,
137,759,432,241,520,715,298,987,954,966,779,650,883,480,511,050,241,835,898,
310,971,773,823,582,719,967,219,573,121,440,952,929,872,604,411,685,122,496,
770,269,142,031,908,929,742,674,411,894,040,898,198,606,434,536,483,432,615,
640,284,117,315,933,198,691,733,883,494,631,106,484,466,097,598,536,338,762,
509,543,694,239,043,458,581,574,768,606,872,725,621,683,998,647,761,473,864,
016,047,967,423,329,329,691,441,701,166,983,584,773,698,147,704,867,947,189,
329,470,966,066,729,497,061,684,641,651,255,974,695,058,851,306,575,073,245,
714,548,006,197,141,000,140,044,331,891,820,421,585,366,744,867,888,487,201,
485,035,037,571,344,437,749,017,392,483,323,639,474,353,133,270,177,733,063,
917,098,695,939,018,318,706,508,677,297,704,037,746,957,099,098,717,740,531,
270,326,367,434,694,153,845,260,798,424,584,023,528,306,113,758,217,257,216,
548,004,588,318,285,852,367,171,228,793,092,729,219,565,522,415,060,836,515,
331,956,994,307,051,699,686,469,392,485,938,310,110,752,494,832,160,219,660,
116,771,854,464,439,491,471,570,507,911,326,514,899,478,905,564,415,158,370,
767,635,423,930,479,695,664,645,993,970,882,172,186,445,412,277,762,946,714,
539,475,715,507,144,670,015,914,671,636,706,282,092,488,359,304,373,390,417,
388,678,718,626,827,565,155,063,813,573,312,002,563,691,812,894,085,002,699,
220,067,377,911,901,449,845,371,384,138,020,372,029,639,678,982,308,331,889,
521,890,662,415,138,581,815,727,938,667,128,932,280,334,660,884,661,733,043,
186,058,783,559,156,768,232,242,728,097,874,870,249,150,925,567,025,884,803,
568,323,388,348,776,934,950,604,028,775,394,190,362,275,341,935,793,714,830,
028,612,388,934,455,083,656,702,796,002,741,334,129,750,166,553,504,479,394,
334,664,773,502,623,584,301,666,862,311,781,485,822,487,665,620,941,029,173,
232,724,910,469,277,821,954,727,889,455,228,079,506,800,203,831,505,994,701,
803,999,890,595,980,313,555,859,987,121,729,095,835,505,265,033,101,036,598,
247,817,762,865,193,044,931,072,292,184,984,246,849,166,337,310,548,546,621,
221,941,742,079,948,773,293,877,337,216,245,601,002,640,519,429,773,967,492,
065,460,703,387,424,979,005,338,795,317,540,808,177,145,920,824,860,938,131,
374,982,128,513,251,566,065,549,329,015,698,440,679,639,229,966,241,392,468,
238,040,578,824,449,135,068,678,328,646,422,597,898,140,417,064,323,926,238,
202,643,182,585,772,762,703,500,920,158,310,608,546,684,714,621,426,421,502,
071,150,986,050,006,589,582,486,992,530,576,034,744,771,284,925,465,635,757,
674,608,454,120,144,897,079,380,935,821,178,445,084,415,113,077,161,815,300,
856,009,064,857,753,906,951,662,217,022,439,010,075,742,580,528,228,895,086,
532,669,386,574,634,880,653,666,566,650,954,283,203,074,875,730,476,509,343,
967,932,310,265,384,324,170,744,063,054,566,785,152,089,203,859,928,415,644,
580,114,903,901,214,667,336,739,085,147,697,532,733,478,595,620,634,520,128,
144,403,012,675,684,788,340,965,957,938,389,010,758,823,744,460,192,716,068,
113,874,394,524,633,585,740,856,614,186,039,992,219,153,462,860,323,351,792,
493,032,519,233,267,116,428,043,925,210,321,914,123,383,799,822,600,329,758,
909,646,637,219,412,239,565,766,633,527,293,338,879,608,747,026,834,255,501,
981,134,340,881,327,890,033,479,606,180,982,124,415,626,208,105,824,710,298,
762,677,861,506,219,122,507,993,898,217,631,323,765,611,503,986,758,600,135,
596,638,393,033,485,483,401,952,882,813,372,384,715,044,016,679,807,150,887,
730,995,525,466,847,203,909,134,678,362,554,057,714,889,253,038,388,663,053,
562,718,933,058,153,358,725,703,389,384,993,955,441,816,460,096,318,299,936,
284,046,585,699,694,168,121,841,411,924,669,512,317,403,632,088,566,624,571,
995,536,457,894,388,085,665,976,292,249,533,106,623,204,242,156,871,604,861,
398,075,034,452,351,933,791,455,100,170,371,237,953,815,073,903,219,119,393,
489,224,802,537,217,445,029,857,330,856,396,272,955,087,086,308,881,768,894,
144,640,250,611,660,425,507,530,617,299,804,212,555,373,646,899,844,985,123,
027,506,793,685,359,822,280,213,867,290,367,624,965,987,036,003,402,523,783,
793,084,552,974,902,744,135,652,131,564,164,264,175,867,002,207,908,429,025,
879,783,748,391,141,474,239,332,713,612,643,714,945,951,590,844,039,989,790,
718,236,078,219,591,563,750,679,521,124,228,512,264,915,447,118,092,245,164,
947,128,954,978,610,031,071,429,676,905,476,848,179,353,340,406,777,913,611,
484,979,729,261,741,264,656,940,004,682,937,571,355,614,818,050,802,073,751,
641,670,653,879,691,745,719,314,678,531,801,597,627,711,101,240,721,997,910,
017,196,407,974,145,853,808,127,181,343,142,956,668,651,412,021,106,472,930,
266,063,736,731,647,262,416,279,835,434,420,328,070,648,580,205,065,145,090,
242,562,083,857,808,771,313,677,212,484,128,946,908,756,821,466,812,890,249,
014,194,476,240,411,471,271,312,526,817,401,869,098,247,991,451,883,219,903,
639,982,344,356,058,958,699,166,712,976,082,002,832,566,409,568,794,279,398,
771,831,785,377,462,429,800,069,971,534,788,260,676,241,170,727,913,489,763,
672,651,057,351,744,091,606,216,417,747,109,960,684,007,561,058,264,629,785,
785,909,525,811,995,296,556,462,671,120,910,396,760,216,687,807,529,865,803,
007,507,568,129,251,547,470,295,274,623,095,458,839,228,852,856,492,178,737,
750,910,801,182,333,898,823,647,625,499,237,962,486,891,153,409,457,672,812,
840,714,319,087,101,125,186,049,819,458,916,558,674,819,168,710,488,833,015,
571,187,977,701,050,501,041,564,111,750,638,425,475,364,567,429,194,238,594,
218,035,080,141,703,069,036,095,221,212,110,043,304,069,006,262,754,095,056,
821,929,810,117,578,998,576,237,588,575,303,157,127,917,624,701,082,990,290,
278,859,133,116,744,118,794,162,688,374,187,592,174,012,213,900,176,837,533,
929,595,061,602,049,504,443,159,894,322,942,597,726,703,933,277,912,055,947,
760,119,869,038,116,922,218,283,522,730,017,927,586,922,595,031,596,103,257,
726,782,587,064,617,305,844,093,173,122,121,611,804,185,369,597,651,840,054,
984,438,796,076,071,472,710,808,258,213,662,967,471,148,048,904,249,881,421,
902,095,798,974,048,809,616,328,429,824,365,395,151,772,540,853,661,608,475,
232,479,900,548,392,274,294,089,172,067,112,735,472,260,106,876,705,450,750,
390,403,994,440,367,085,902,966,096,520,795,520,520,725,432,836,895,214,858,
444,087,838,959,045,292,837,729,603,147,173,100,484,120,149,339,403,162,414,
981,517,118,689,341,903,365,112,782,076,229,054,671,482,508,756,603,062,427,
933,292,254,097,198,917,265,556,055,440,917,184,638,240,865,468,045,456,838,
280,609,191,162,173,238,645,560,680,309,279,755,747,000,629,646,056,541,564,
468,129,411,573,581,357,146,769,578,643,888,592,952,484,929,851,304,749,412,
184,065,009,068,731,716,822,035,817,434,914,495,100,502,603,955,457,035,910,
237,256,763,242,408,053,727,613,719,709,900,256,932,684,908,346,662,177,385,
458,593,402,855,512,587,822,191,498,241,094,177,898,373,391,641,639,777,436,
623,682,007,709,984,373,738,277,666,530,250,386,579,651,562,427,472,381,164,
937,058,393,065,123,414,297,776,152,509,433,239,508,599,444,385,149,488,291,
650,330,715,618,036,266,662,444,354,411,036,440,149,629,581,571,965,123,222,
994,359,002,875,504,675,324,337,297,324,481,814,455,728,617,359,134,538,329,
242,626,245,283,711,563,105,993,047,668,737,921,711,360,042,566,776,594,482,
263,541,729,056,722,424,579,906,872,728,110,614,103,976,425,709,226,991,995,
076,855,098,791,292,054,534,551,022,735,785,929,762,766,602,058,191,980,194,
375,487,480,245,925,686,161,307,963,230,435,197,470,415,322,463,040,783,078,
846,765,267,970,740,910,611,010,005,876,789,841,427,350,522,160,155,857,167,
136,751,222,216,433,272,084,999,868,411,488,504,735,908,057,574,042,662,596,
631,620,453,841,623,821,864,559,060,666,127,732,663,577,697,156,664,925,583,
179,237,639,174,051,022,193,601,578,192,700,365,783,683,643,677,629,677,782,
445,507,376,332,924,350,504,509,713,619,313,875,609,499,088,708,028,062,466,
135,308,231,896,425,967,965,082,248,543,437,737,954,124,729,033,347,560,771,
526,749,677,305,266,156,657,562,190,498,511,103,431,111,009,922,663,590,712,
892,170,143,180,726,839,837,281,091,245,131,960,167,857,327,136,135,241,644,
079,570,257,073,803,641,312,640,860,628,784,894,216,960,193,886,656,956,133,
268,501,654,445,050,206,145,574,786,753,630,498,826,384,008,333,243,812,726,
719,486,256,451,718,912,649,071,421,702,796,979,851,453,505,004,922,715,725,
662,213,936,432,484,847,790,538,109,034,223,672,075,627,553,681,473,235,928,
000,626,070,235,388,824,030,189,662,925,849,848,806,240,805,919,335,016,637,
951,470,855,421,288,387,898,342,466,509,525,187,893,564,491,055,041,665,761,
068,894,523,870,013,755,250,425,759,896,054,455,106,473,705,152,695,556,815,
308,396,504,525,211,587,037,192,196,584,911,491,078,782,574,275,093,471,689,
601,473,080,814,541,495,888,108,402,668,469,114,278,451,371,186,301,570,068,
189,372,048,505,987,352,385,295,177,734,686,490,486,109,620,763,128,404,578,
323,143,166,479,044,273,781,212,134,148,991,017,058,080,744,309,699,637,674,
428,580,004,312,272,332,946,539,775,146,372,901,587,180,634,656,548,677,739,
529,815,554,948,118,149,302,831,843,112,226,734,555,225,318,881,505,362,997,
627,865,407,726,556,600,050,207,660,649,818,525,226,042,401,186,950,823,538,
991,822,619,758,472,004,507,270,103,685,372,694,762,455,282,525,693,828,105,
767,397,448,440,822,597,272,377,247,309,889,633,619,274,509,437,628,414,055,
108,841,325,535,892,880,430,973,125,200,852,426,906,292,144,228,454,294,008,
893,751,070,932,454,988,637,842,685,423,140,571,969,563,553,830,821,183,182,
133,136,994,613,225,799,340,492,947,288,114,485,829,948,406,384,965,685,356,
725,154,534,577,796,050,630,992,055,451,173,393,843,000,143,652,659,956,323,
832,355,411,582,105,935,817,916,830,436,379,266,022,908,305,569,194,131,975,
208,040,286,992,990,131,482,137,429,330,330,853,113,147,121,683,217,994,269,
810,564,288,915,335,733,818,603,164,207,016,640,122,344,823,987,592,830,004,
601,772,122,770,910,601,601,433,949,421,089,567,450,794,656,737,527,146,163,
649,152,675,969,702,038,696,482,120,334,274,570,633,503,011,808,040,808,258,
015,812,100,970,128,923,354,808,159,593,741,065,104,075,260,085,995,356,825,
337,534,887,920,100,324,051,886,006,287,138,229,284,604,502,942,777,095,392,
033,618,282,636,407,730,677,148,055,940,382,643,056,100,333,466,409,566,407,
361,930,551,344,220,833,172,985,444,588,439,859,845,432,597,994,385,025,845,
572,201,152,860,023,582,462,153,694,777,329,788,523,935,573,928,037,687,757,
571,684,262,133,055,900,276,869,930,306,092,677,323,541,608,210,088,738,961,
247,311,444,278,435,362,855,679,033,937,010,386,668,129,076,265,863,794,236,
042,668,650,120,894,380,330,702,923,157,577,078,887,954,611,337,758,228,934,
997,096,248,194,689,745,583,981,586,447,162,671,244,504,907,308,596,422,840,
269,329,112,405,356,567,400,920,940,682,498,839,230,547,502,654,224,005,973,
897,763,883,852,967,782,711,214,011,939,081,185,503,474,547,972,549,599,786,
076,321,789,144,636,697,107,083,100,368,734,875,675,497,385,021,944,958,017,
206,037,534,151,346,720,709,193,369,043,846,617,650,516,561,722,428,517,310,
150,191,101,455,919,251,957,504,298,121,767,610,257,541,369,881,255,659,628,
298,219,679,877,395,644,893,117,037,168,316,432,314,511,366,718,981,953,934,
672,655,634,711,938,128,703,246,952,530,227,932,261,412,924,038,956,164,080,
794,184,568,953,040,205,772,889,642,409,641,253,129,675,898,471,561,395,153,
482,466,899,672,698,814,008,444,404,629,101,602,861,332,401,059,714,293,186,
155,416,312,375,207,466,761,395,917,690,918,949,185,904,960,899,854,805,248,
141,451,560,839,296,243,283,872,424,921,503,851,518,764,098,588,468,632,646,
677,786,282,473,910,602,377,084,232,754,242,241,224,527,347,877,781,520,170,
351,844,730,030,607,587,555,235,415,588,785,430,642,366,941,859,363,686,799,
191,491,878,158,413,779,836,510,074,191,154,946,110,146,847,521,227,511,151,
470,006,760,377,934,029,637,256,339,190,074,130,514,849,254,801,734,066,942,
980,579,683,894,739,723,618,346,020,857,262,870,439,946,275,902,995,369,263,
899,031,404,453,707,042,641,990,538,954,357,564,157,314,244,633,068,947,591,
292,405,630,640,841,744,705,204,413,144,733,138,125,817,503,175,919,888,446,
879,271,384,028,600,229,369,808,517,737,126,193,157,096,726,178,089,218,925,
923,500,024,903,624,605,088,682,081,840,840,492,370,906,350,623,819,576,649,
697,733,538,253,069,922,027,875,887,688,494,665,486,765,890,225,341,595,880,
552,353,122,587,599,502,016,147,159,956,327,729,254,958,949,388,760,254,833,
953,284,650,352,489,115,102,602,431,972,243,069,734,676,386,614,961,122,101,
608,268,747,474,913,891,889,544,443,684,748,769,560,238,710,887,388,276,778,
900,021,473,510,553,354,789,705,587,765,611,925,025,422,507,671,379,400,116,
018,101,860,330,405,650,953,012,085,721,809,212,146,479,820,171,894,377,109,
309,750,828,457,832,657,119,831,961,589,683,068,111,721,109,836,346,289,890,
453,567,658,929,510,448,519,668,650,559,383,184,485,280,629,677,789,119,757,
288,628,486,880,151,398,214,279,883,293,514,688,500,342,373,204,329,743,326,
169,869,452,499,201,810,539,416,552,887,902,145,779,847,425,311,460,955,886,
666,488,397,728,007,669,249,120,711,733,011,140,582,787,625,309,519,794,347,
022,949,965,678,177,016,690,297,186,251,393,542,384,312,839,329,960,327,602,
868,848,848,721,006,099,344,544,619,862,900,729,376,945,182,884,617,955,027,
354,674,824,597,130,781,561,288,335,227,022,110,172,808,868,166,317,200,379,
453,276,846,042,101,211,415,687,419,468,204,129,744,785,679,281,130,774,756,
090,798,455,930,031,665,277,832,340,107,924,402,213,378,972,207,357,538,701,
101,068,781,596,044,835,503,827,277,603,287,612,384,093,818,348,780,018,220,
622,978,074,959,055,033,277,459,461,240,480,819,389,110,465,246,203,939,540,
516,023,216,514,282,961,306,749,408,387,861,734,351,681,362,502,799,473,522,
454,942,518,739,533,570,082,596,400,413,342,702,340,519,760,129,243,156,607,
599,564,478,976,452,962,291,947,159,207,615,592,861,039,871,376,866,963,683,
826,549,533,230,369,735,860,307,842,899,115,489,557,391,012,035,956,895,905,
228,283,203,800,122,617,942,282,891,807,873,489,166,541,899,609,666,962,554,
717,018,302,676,652,765,958,331,406,312,009,776,700,836,427,691,355,836,212,
666,189,859,827,937,749,890,677,741,957,497,859,090,966,406,845,685,809,416,
710,274,496,886,771,625,416,419,464,140,308,964,130,076,786,599,713,196,251,
405,376,361,875,111,035,155,128,425,431,674,013,830,533,101,533,085,553,297,
970,634,336,241,034,806,371,726,258,969,224,510,309,225,607,953,643,592,705,
647,947,112,015,383,383,970,894,153,197,742,154,569,526,645,361,640,530,734,
251,565,553,942,801,964,406,617,200,222,846,307,801,114,813,324,266,022,758,
910,087,705,723,043,287,928,477,294,744,483,041,788,251,141,148,122,251,715,
586,710,729,121,372,740,269,172,208,512,510,767,283,272,216,275,040,202,962,
997,845,864,162,197,167,049,639,767,978,097,730,087,269,758,262,888,485,121,
431,638,487,066,730,486,091,443,534,263,221,842,163,944,620,724,169,567,439,
186,181,366,347,774,503,706,628,973,368,167,719,784,835,288,297,221,533,763,
146,481,375,385,642,495,308,907,278,660,664,389,493,232,667,602,474,909,702,
998,649,283,297,710,943,093,361,425,608,696,875,679,357,845,882,509,573,573,
041,027,159,520,237,575,375,194,085,293,823,310,004,292,117,306,438,151,458,
989,955,319,059,156,211,275,614,886,492,251,165,935,470,506,988,181,909,413,
765,800,883,200,226,985,464,744,562,052,570,127,529,753,915,424,430,078,213,
183,860,210,822,766,118,943,234,108,930,362,227,783,704,612,449,634,900,160,
696,416,628,261,605,741,080,313,492,938,539,080,166,226,817,007,931,380,074,
886,189,718,450,844,933,596,546,395,909,814,610,056,450,377,474,259,273,999,
036,662,798,769,169,546,568,159,626,631,259,072,046,996,298,120,508,421,009,
074,845,463,224,462,001,490,193,147,207,174,608,857,127,005,327,011,461,129,
267,230,630,231,524,282,929,678,728,327,414,859,959,309,408,868,731,107,575,
812,019,354,614,384,079,871,476,832,451,421,438,413,370,554,899,284,638,266,
576,923,252,942,449,560,662,556,564,282,020,020,378,277,670,720,705,330,347,
112,864,248,056,299,427,058,558,501,491,313,576,415,315,918,170,390,271,442,
159,219,918,979,466,797,957,849,123,775,604,310,635,357,374,474,681,496,903,
666,074,385,680,493,407,512,004,475,130,352,205,979,417,505,719,197,362,622,
243,873,000,638,623,070,538,772,273,135,742,177,586,087,989,080,133,430,186,
436,867,007,407,742,347,094,291,760,007,082,579,757,138,434,879,185,182,714,
914,841,330,472,673,168,037,576,092,993,407,673,140,441,992,027,369,482,561,
073,280,570,448,108,429,936,128,831,126,769,954,716,587,098,966,582,024,228,
769,929,627,423,405,390,400,107,941,336,499,629,841,748,292,780,623,731,261,
249,449,999,579,398,508,126,163,390,738,812,955,659,622,639,594,950,039,901,
337,205,744,617,124,887,706,167,180,284,405,567,158,284,188,480,428,999,181,
352,416,712,286,792,336,327,236,553,596,657,670,633,009,033,813,399,875,281,
155,036,874,538,554,665,143,318,845,482,869,358,670,845,473,598,728,743,184,
343,706,559,576,455,813,572,083,764,883,344,531,643,954,073,573,814,903,965,
714,575,394,313,852,103,920,060,277,133,116,345,992,183,617,361,727,344,173,
388,709,438,855,717,911,268,498,089,600,984,585,404,172,617,321,244,218,480,
784,544,621,539,061,585,625,377,576,353,185,055,218,463,986,847,549,978,537,
392,598,420,950,916,869,066,680,119,470,184,981,986,335,085,496,165,284,861,
183,231,747,969,247,525,944,878,016,562,801,545,642,067,064,282,454,476,767,
909,418,337,812,236,344,216,909,797,329,434,301,691,502,369,344,345,736,486,
596,690,589,838,197,114,630,536,911,567,130,296,789,688,830,903,396,351,705,
119,372,870,725,231,428,670,921,149,177,740,816,228,223,655,158,847,680,359,
500,987,740,807,498,820,413,551,071,685,989,399,666,474,808,657,365,729,034,
021,888,532,537,164,605,704,453,939,413,727,601,278,396,740,138,758,684,802,
093,664,939,752,505,531,367,409,507,606,351,981,557,324,058,866,615,401,298,
142,501,551,263,735,003,999,055,991,292,909,987,224,630,369,110,817,888,811,
645,763,186,624,337,097,544,847,512,918,550,468,292,571,319,644,428,594,967,
977,750,714,938,960,823,878,648,020,359,340,175,203,360,437,303,769,589,562,
877,116,217,125,686,491,069,672,746,607,069,822,846,949,077,272,010,351,186,
403,633,161,412,132,540,828,290,604,513,222,867,009,943,386,892,426,563,280,
358,648,222,832,486,736,425,345,150,421,134,606,805,164,080,691,214,610,359,
611,032,645,173,722,004,458,173,232,359,384,017,065,192,718,373,613,704,814,
474,527,935,001,541,519,243,520,889,585,235,625,045,567,858,199,177,720,985,
935,638,125,513,214,043,121,572,887,854,902,706,960,974,027,236,929,637,214,
489,467,878,718,643,930,147,389,301,232,642,509,430,355,151,722,896,173,270,
738,299,720,467,209,160,108,601,115,588,382,774,145,952,252,394,095,080,607,
054,268,121,709,260,334,878,785,591,572,502,890,176,691,819,286,983,600,080,
634,674,485,537,777,026,594,970,647,178,185,811,037,047,145,119,909,738,744,
591,662,062,540,934,095,648,608,200,524,698,085,453,861,543,261,144,888,497,
177,052,285,107,919,228,334,131,616,833,856,640,675,895,200,339,945,454,318,
161,021,163,321,494,090,476,598,336,034,525,594,267,193,006,544,148,723,313,
631,348,231,894,468,955,669,624,347,814,600,031,610,111,337,695,801,439,857,
220,795,075,624,311,300,677,241,966,061,945,955,507,613,309,988,259,254,237,
393,711,585,972,777,955,807,075,633,241,930,007,434,899,653,148,492,177,788,
020,270,248,522,260,656,271,152,706,324,239,301,021,915,235,508,775,434,617,
489,992,562,965,023,140,604,171,102,756,006,382,353,081,925,681,826,512,459,
651,148,393,320,367,886,580,773,343,997,942,414,465,703,453,837,516,809,403,
355,820,520,914,127,247,188,953,294,981,459,009,397,562,821,548,740,316,165,
880,673,564,469,846,408,285,910,664,005,818,954,004,265,580,409,352,915,505,
925,426,282,441,815,917,626,021,721,337,489,549,913,164,621,119,035,279,615,
594,815,440,348,768,133,460,474,573,390,304,491,612,007,322,842,609,668,314,
302,910,112,328,635,140,714,427,992,431,541,087,523,606,061,164,043,037,897,
243,932,162,071,836,548,647,845,981,015,053,001,313,239,748,995,987,219,212,
936,405,749,487,174,324,103,522,476,414,433,076,325,984,908,457,560,396,291,
843,855,653,718,083,780,740,613,168,062,417,753,695,253,664,780,038,271,617,
893,063,344,030,397,665,104,838,981,194,795,763,769,874,739,244,464,198,287,
058,209,641,221,863,919,449,761,422,576,015,208,489,130,413,547,311,100,539,
770,818,207,563,798,888,589,702,126,532,671,700,699,546,160,262,222,740,033,
495,851,101,523,569,436,886,700,549,439,988,989,163,398,979,506,070,155,743,
305,596,489,605,064,093,040,615,067,310,958,156,069,121,714,759,820,080,848,
708,613,169,776,509,880,427,889,305,265,489,442,212,281,821,368,207,649,237,
724,529,691,495,523,765,122,009,458,726,635,670,912,366,490,750,040,043,327,
645,584,776,046,947,712,243,348,174,713,772,545,358,205,182,289,711,907,121,
683,125,626,622,251,693,855,141,144,416,614,318,769,415,478,791,264,380,529,
711,498,718,679,684,519,536,288,420,545,993,376,443,183,066,493,247,610,740,
903,217,508,978,263,265,710,858,665,624,988,784,410,817,483,482,800,383,357,
313,251,941,750,142,574,678,925,834,763,083,374,367,325,680,808,842,760,296,
950,557,897,282,622,845,993,019,776,418,486,424,474,350,846,544,487,127,966,
325,337,580,922,923,683,319,272,406,188,030,551,017,169,453,465,016,026,400,
108,727,880,962,226,915,212,984,604,251,176,135,257,247,532,629,798,532,952,
191,864,006,477,391,330,536,340,882,900,980,493,516,719,764,177,226,088,946,
060,397,226,621,726,313,801,481,666,982,546,000,188,737,679,659,126,011,973,
464,508,101,942,678,157,780,566,530,349,895,126,586,581,519,922,541,675,340,
563,980,314,588,333,730,562,803,802,465,406,847,119,057,697,982,868,761,069,
027,847,035,663,743,227,482,210,638,130,142,463,847,918,532,253,715,162,175,
202,237,304,021,866,992,008,754,739,118,087,181,347,240,973,275,922,102,916,
445,237,094,594,664,589,953,879,931,213,054,295,190,425,406,418,716,014,319,
915,090,326,985,375,677,518,798,712,552,408,637,518,154,086,448,683,019,913,
588,203,348,556,810,278,802,924,365,205,103,751,834,971,441,714,689,777,422,
312,598,299,665,986,984,990,754,741,474,992,737,072,829,709,907,968,161,071,
797,612,881,204,704,008,561,418,163,857,887,468,715,908,046,443,299,914,253,
973,302,278,075,036,054,105,263,357,100,830,255,978,573,084,226,454,282,769,
203,054,543,665,446,056,271,335,592,890,482,155,765,717,469,454,615,057,434,
585,265,346,471,613,987,400,691,501,875,061,228,947,335,109,523,592,900,878,
990,035,940,075,520,751,686,544,914,509,760,930,364,470,717,806,299,720,015,
813,338,443,491,294,457,485,421,947,458,334,564,177,915,451,649,653,052,137,
964,032,332,716,954,476,424,339,340,224,484,290,406,185,301,912,839,420,145,
920,052,780,679,192,921,205,834,997,655,994,632,555,402,500,517,264,647,615,
443,295,433,999,027,580,490,602,055,270,031,726,778,636,225,493,093,938,340,
227,882,719,814,990,508,058,813,965,537,009,074,900,464,879,658,938,871,512,
112,471,654,886,406,280,015,013,756,209,896,193,999,102,172,950,984,314,461,
349,850,008,170,138,161,718,102,803,581,891,481,196,900,932,206,501,949,626,
383,988,174,787,180,813,618,641,552,091,346,583,997,859,840,611,937,006,007,
480,178,464,397,477,013,866,473,603,053,642,344,579,918,067,630,958,676,121,
821,973,273,906,197,229,486,476,518,856,185,871,772,078,667,646,338,680,487,
857,122,983,732,643,372,157,705,580,579,917,783,942,354,099,149,076,762,114,
420,746,616,948,943,444,696,365,426,401,245,704,600,670,633,713,800,836,178,
148,376,532,172,510,726,834,790,220,072,759,927,144,639,619,594,988,358,673,
585,509,427,080,460,627,345,207,299,868,841,604,374,744,389,024,520,395,200,
312,321,760,623,139,725,129,522,488,650,247,701,723,185,697,753,745,982,914,
759,051,857,352,893,412,704,767,862,751,828,180,561,851,086,781,269,632,466,
012,336,096,759,101,749,682,906,191,605,607,935,443,053,338,465,806,398,384,
917,252,063,089,751,553,163,882,484,781,549,276,363,536,002,979,340,036,288,
096,903,971,857,043,008,025,006,781,188,091,054,094,664,015,893,839,179,255,
328,394,939,096,162,796,296,688,265,358,241,020,799,882,136,007,357,101,877,
031,282,122,658,260,298,059,848,136,025,416,004,583,009,909,285,524,525,542,
556,400,650,526,647,780,553,337,500,653,705,797,641,677,557,588,319,356,702,
258,428,497,497,807,162,235,036,192,198,829,948,326,520,417,645,555,338,165,
228,291,979,088,180,046,107,351,353,758,097,547,611,206,428,162,674,151,396,
825,719,911,983,256,841,477,194,086,740,541,355,520,492,852,091,759,370,457,
239,702,070,512,773,119,452,718,146,196,922,741,584,842,668,117,356,186,775,
097,832,498,198,973,637,274,119,792,671,800,825,445,450,566,559,212,843,889,
134,010,335,357,393,642,551,770,416,471,487,171,103,857,741,847,156,271,589,
501,160,943,995,813,090,377,268,815,884,653,911,970,155,967,410,947,694,157,
451,786,089,894,742,138,282,955,247,735,960,811,176,417,426,933,336,637,118,
362,111,611,021,668,484,655,094,527,424,330,051,666,150,135,270,474,051,699,
223,996,284,650,708,230,614,443,848,031,133,721,549,440,285,590,230,215,662,
686,002,604,238,400,351,798,152,602,437,253,405,361,261,028,516,972,156,181,
536,309,337,495,486,355,035,833,228,938,153,528,290,557,605,192,618,294,616,
035,247,957,775,886,010,108,962,793,235,014,771,844,154,055,251,681,252,959,
067,419,407,826,430,172,423,178,062,755,272,607,632,393,721,733,227,601,674,
439,394,135,392,036,990,824,413,478,024,537,609,201,499,703,486,678,746,936,
203,121,318,635,002,590,520,491,781,774,667,529,129,805,157,317,666,343,109,
463,430,239,425,643,320,773,424,183,794,776,233,779,300,325,188,435,846,580,
421,171,352,891,940,474,927,870,318,929,309,443,919,374,243,543,922,334,543,
668,670,923,585,009,844,550,275,929,025,853,779,715,080,694,411,228,889,447,
077,490,925,874,629,002,370,913,733,042,153,781,571,322,928,832,434,882,970,
178,398,893,629,525,478,364,504,913,754,184,565,646,018,871,130,437,337,287,
675,124,471,444,769,785,925,472,292,776,902,672,593,210,592,892,980,319,297,
165,066,249,129,675,837,563,341,985,852,289,745,899,759,951,433,515,954,080,
253,865,539,883,282,727,939,271,339,066,076,398,461,472,008,332,657,593,425,
359,978,687,589,464,228,327,488,741,510,981,132,273,407,362,458,882,760,536,
160,341,204,138,131,036,093,756,481,808,768,542,632,037,177,471,513,821,805,
090,725,096,868,130,274,060,776,910,739,957,773,093,243,817,832,723,252,546,
115,186,310,483,100,023,271,522,777,572,012,441,341,002,714,339,690,405,851,
171,703,684,205,194,531,557,332,066,216,700,009,302,177,266,616,582,150,528,
845,370,672,187,831,726,772,628,261,531,601,629,004,558,486,297,330,620,450,
561,749,618,733,059,070,862,821,765,398,727,293,596,344,301,857,423,290,777,
862,643,167,822,372,915,746,185,485,497,849,417,600,866,927,192,449,385,749,
360,447,582,114,294,954,834,693,162,890,998,235,310,161,614,130,162,149,277,
515,107,355,473,962,171,329,278,068,368,683,170,435,594,848,143,851,724,884,
828,084,141,914,707,821,925,966,256,299,373,278,181,792,089,084,256,090,755,
590,890,694,772,570,422,171,600,122,137,838,579,701,898,540,682,511,264,163,
254,161,854,550,300,937,526,294,968,571,647,456,682,329,166,135,439,949,669,
866,600,708,736,297,018,184,020,630,112,601,113,467,195,003,079,138,583,633,
369,694,052,112,785,919,536,136,582,887,376,414,379,439,982,221,181,153,644,
141,544,735,668,915,477,461,432,515,574,172,947,409,158,717,663,058,072,132,
613,370,312,500,426,997,770,587,952,945,663,264,259,789,816,562,508,764,625,
899,756,428,163,885,171,729,813,046,745,803,227,093,457,090,789,645,152,354,
385,502,083,915,376,573,803,976,369,339,573,985,147,568,113,044,376,092,442,
112,724,841,597,152,830,855,841,060,549,907,691,490,926,623,197,792,678,199,
586,348,550,153,704,957,018,902,714,589,358,826,254,676,596,233,849,526,181,
554,843,395,102,859,223,639,195,198,766,146,289,245,006,583,159,218,854,432,
801,559,902,266,512,513,704,258,630,546,918,492,626,625,040,294,260,624,561,
791,087,058,945,065,684,733,490,881,620,957,425,693,242,589,139,693,262,006,
136,505,296,698,883,482,316,824,778,994,493,739,920,339,068,335,861,921,078,
944,044,709,037,803,026,952,182,890,951,674,234,446,806,759,287,778,184,866,
907,984,164,670,562,090,666,953,349,611,488,516,470,394,542,871,748,360,932,
609,072,613,558,412,008,452,023,552,673,336,948,425,689,410,849,938,582,790,
172,131,085,982,285,873,589,137,917,870,055,744,388,672,295,432,555,240,417,
996,639,659,859,611,685,174,777,727,524,963,509,658,444,926,174,087,810,499,
828,803,542,776,355,465,610,690,355,711,543,885,919,264,886,597,348,517,322,
685,690,415,489,056,957,826,971,933,481,980,298,760,135,103,181,287,252,722,
196,598,696,430,023,468,589,088,316,435,793,442,133,864,592,952,075,601,149,
994,338,389,198,619,647,473,965,364,771,724,501,994,081,561,521,283,507,052,
757,640,014,193,727,801,007,680,064,503,007,185,796,292,779,749,105,231,830,
625,477,147,223,448,368,659,494,939,358,265,808,405,406,118,635,443,243,426,
188,065,412,068,001,606,544,610,503,846,575,375,287,311,884,221,350,225,128,
253,890,116,998,167,971,691,516,397,808,866,021,151,066,296,875,003,673,956,
736,137,017,872,083,647,365,045,655,610,547,484,394,154,446,017,259,666,261,
968,528,406,406,883,045,438,931,654,370,875,215,987,282,395,003,982,562,624,
121,299,691,295,041,522,124,587,436,387,458,931,258,646,592,782,843,117,433,
211,906,013,847,299,680,469,339,261,069,497,535,184,891,222,135,803,570,981,
863,467,671,179,335,730,185,618,234,254,576,839,224,173,604,603,348,445,114,
815,138,105,664,231,336,216,462,703,250,400,769,834,623,622,394,997,762,514,
853,134,706,226,765,885,883,014,004,919,767,208,446,623,885,636,527,397,336,
431,788,683,631,973,334,816,089,180,835,369,792,241,761,361,810,707,098,315,
338,220,684,588,965,797,497,104,022,516,730,862,233,457,620,561,855,326,782,
469,032,789,185,097,327,333,778,975,247,642,738,447,637,584,609,360,814,997,
986,364,409,568,245,324,937,093,764,292,071,025,136,182,333,558,403,823,933,
830,929,394,471,675,559,404,104,507,903,978,529,804,971,465,916,304,361,758,
331,209,208,737,838,231,286,672,903,521,045,994,554,563,851,982,894,394,501,
179,946,403,494,564,487,926,912,720,907,069,422,559,125,859,001,812,013,401,
061,714,489,627,298,104,853,426,078,818,406,146,400,509,926,956,831,002,304,
301,823,183,513,283,434,608,327,090,235,157,237,936,270,701,629,506,757,082,
743,429,129,797,004,375,990,140,602,226,672,500,270,253,508,111,652,476,792,
697,069,673,812,502,067,923,985,399,592,201,755,359,665,065,950,091,598,976,
761,378,925,265,481,112,947,271,616,514,504,966,745,468,558,114,983,015,769,
117,136,991,795,147,859,219,390,873,534,064,723,330,694,580,917,866,914,956,
502,375,082,628,333,896,320,720,532,147,338,502,937,746,578,919,809,065,083,
975,618,447,728,055,284,663,076,515,125,063,031,973,717,040,771,037,800,647,
185,328,688,807,811,761,959,991,030,355,852,589,188,073,808,368,097,284,542,
832,495,858,972,080,769,659,431,077,933,023,059,616,280,804,420,273,897,841,
510,587,704,796,114,402,277,720,965,345,584,767,148,486,665,326,225,457,152,
881,099,885,745,845,768,028,455,445,174,467,210,147,124,485,211,734,469,191,
882,686,068,957,720,559,971,576,924,740,596,874,732,336,947,075,024,999,787,
029,213,171,470,317,983,665,711,500,053,380,528,678,044,576,021,914,048,890,
212,630,227,806,671,953,529,901,716,608,123,060,612,134,791,229,643,235,187,
736,225,721,306,193,130,936,838,257,290,186,817,345,290,625,526,802,615,703,
276,606,275,107,735,765,953,052,008,625,899,725,788,300,533,672,040,858,206,
433,498,080,638,568,375,621,159,676,938,327,623,512,022,972,784,897,847,018,
630,968,713,466,077,185,753,879,901,684,246,740,888,118,097,859,116,081,528,
538,897,662,518,800,205,582,466,239,429,865,507,377,452,122,447,464,717,546,
366,834,157,933,663,548,070,754,492,768,927,035,204,399,299,192,974,341,919,
308,073,721,243,181,430,896,949,193,361,165,804,312,937,211,838,679,089,943,
761,649,437,687,412,346,636,054,885,334,115,603,807,408,162,402,017,969,950,
074,904,554,234,086,603,683,217,301,077,718,232,219,638,762,539,467,953,547,
774,991,386,223,902,779,453,873,697,865,118,902,648,952,911,822,038,891,844,
220,562,798,804,591,623,323,221,860,032,645,654,933,889,720,077,176,690,367,
501,417,307,267,391,963,765,320,979,821,260,917,828,828,370,701,392,592,462,
694,441,790,566,280,028,671,070,005,608,930,765,296,806,819,545,401,685,100,
332,631,143,747,304,812,222,142,404,748,744,137,220,774,598,728,332,916,335,
367,573,362,915,452,847,867,043,463,840,035,668,826,254,831,695,676,982,797,
784,794,495,444,406,891,146,557,053,825,612,513,907,094,202,374,933,144,890,
712,712,578,307,787,954,132,056,921,230,961,664,314,591,403,580,804,540,570,
471,292,963,063,465,949,030,303,857,017,961,565,282,989,882,968,031,959,795,
692,022,990,633,142,153,752,367,924,362,829,259,208,114,575,316,593,811,814,
499,345,917,581,162,833,399,171,141,351,946,872,559,572,688,357,931,759,044,
058,576,763,979,689,843,503,583,373,319,101,049,553,457,521,970,901,551,250,
632,845,022,235,969,782,433,390,209,564,911,707,265,911,826,061,618,894,270,
480,121,662,308,796,849,205,508,619,165,151,139,577,504,495,157,494,102,306,
243,233,120,736,906,833,212,238,703,661,537,174,319,689,379,063,241,956,263,
747,087,194,131,675,945,231,956,366,940,714,479,241,352,476,149,804,278,544,
711,718,981,620,997,570,116,661,900,086,663,046,114,969,742,297,105,370,755,
928,234,434,281,885,882,061,025,339,278,685,571,452,971,915,517,656,198,370,
830,101,600,285,156,032,234,734,371,014,602,325,320,420,395,717,863,366,204,
268,847,583,894,536,826,263,201,260,699,263,723,319,597,173,110,474,570,614,
831,814,949,169,984,897,827,931,787,171,493,949,699,631,912,269,961,530,439,
200,533,228,229,644,724,385,853,649,072,314,684,506,449,256,466,270,486,592,
098,129,329,240,668,892,240,136,086,568,036,838,054,647,619,430,278,134,291,
543,477,460,060,963,842,358,159,252,335,800,562,314,410,138,985,624,218,195,
580,088,284,719,144,457,622,306,629,389,659,249,436,113,646,548,559,946,307,
854,707,550,602,104,494,607,403,164,120,060,378,473,229,855,228,622,507,493,
163,519,952,722,665,355,218,958,733,033,320,287,372,831,524,179,606,935,330,
590,434,737,106,706,092,049,336,893,315,541,696,267,874,290,860,822,231,976,
076,531,788,464,615,892,921,413,924,878,403,646,020,494,818,819,677,990,886,
834,247,826,789,283,538,917,724,133,606,429,547,611,540,761,071,569,196,280,
063,430,170,047,045,102,397,233,456,791,110,561,063,084,068,542,608,873,708,
727,037,032,830,129,043,875,684,754,740,542,983,253,081,704,052,651,587,715,
140,778,207,601,522,630,127,435,172,353,121,986,034,388,673,785,406,145,109,
225,666,436,966,698,753,650,325,307,776,041,036,453,967,318,141,266,870,941,
818,995,700,584,343,847,164,234,490,316,056,014,250,688,458,571,876,733,434,
869,027,802,154,144,037,819,610,194,300,206,363,319,986,955,924,845,454,369,
812,468,495,050,627,256,323,963,889,101,730,071,187,758,810,070,038,010,605,
426,100,412,841,834,556,986,839,669,076,332,311,805,533,035,728,866,715,997,
382,949,214,070,057,610,873,487,146,638,549,767,651,921,618,027,852,421,054,
094,182,200,068,905,018,449,707,162,053,041,786,238,347,116,811,738,645,696,
822,676,573,794,095,926,318,715,272,146,834,644,542,304,363,213,403,927,778,
528,236,886,535,879,747,269,272,166,256,093,428,486,773,671,258,644,945,850,
372,329,056,319,694,754,273,750,730,310,737,238,060,516,999,359,491,353,173,
360,068,500,040,638,671,658,039,149,822,560,036,647,938,493,285,641,614,637,
492,385,877,515,521,023,532,399,424,198,831,758,994,893,787,917,091,182,815,
020,646,112,380,127,123,653,122,885,536,919,889,559,975,718,217,735,940,244,
705,871,246,288,168,005,152,469,186,080,641,704,791,387,883,525,317,459,212,
646,187,076,176,542,148,030,392,853,392,476,253,630,977,180,443,352,956,168,
661,040,894,613,649,863,769,854,298,061,725,553,235,900,235,277,649,894,931,
121,287,895,844,011,696,649,845,145,593,285,019,970,064,274,492,218,194,346,
276,764,782,266,853,586,187,346,354,513,880,439,674,856,472,861,891,887,009,
065,459,783,328,116,793,977,417,347,876,116,731,726,500,225,515,539,881,371,
476,167,006,618,182,345,207,064,531,968,802,982,734,240,389,378,366,992,258,
123,992,923,752,245,031,489,114,579,682,837,757,577,473,093,967,123,047,611,
370,572,111,919,819,897,680,493,966,878,503,525,670,544,359,097,505,297,721,
214,733,835,710,219,958,668,658,189,090,100,849,144,545,483,443,775,034,889,
139,236,695,616,782,217,114,047,394,130,463,209,179,289,076,387,152,362,665,
082,135,485,844,985,014,978,500,344,623,348,494,637,722,828,772,900,159,886,
525,569,982,011,440,844,838,626,772,688,898,443,700,365,821,956,481,577,078,
511,186,650,678,045,741,179,875,092,739,474,072,655,037,355,032,495,690,785,
226,781,185,018,210,176,746,733,045,792,496,339,555,356,505,169,681,128,460,
979,056,723,636,997,958,456,221,942,140,073,743,283,908,138,789,955,136,812,
562,540,901,117,094,358,705,380,089,968,482,471,361,092,479,864,624,151,404,
019,066,772,143,754,162,698,910,191,352,641,864,450,399,568,855,849,094,971,
428,535,964,910,316,283,730,493,860,015,181,721,359,481,768,627,555,348,047,
393,436,866,038,248,924,961,820,222,826,969,526,266,441,401,818,167,747,258,
555,286,444,444,715,009,047,981,666,110,207,639,013,128,191,790,472,114,947,
160,696,121,260,798,978,854,257,096,090,624,016,623,260,561,291,034,121,244,
653,736,235,885,085,671,942,647,084,950,736,843,245,643,342,987,798,789,157,
527,865,461,557,666,991,830,764,678,008,947,713,231,839,384,656,801,988,440,
094,757,911,609,358,700,803,936,047,480,328,925,005,076,210,628,180,486,795,
733,443,455,456,336,166,812,761,638,840,043,603,891,733,879,475,932,102,336,
335,938,487,384,383,558,743,594,883,116,545,020,488,394,821,755,931,082,235,
019,385,626,225,391,911,619,921,599,813,888,071,614,684,731,561,490,000,434,
248,247,194,556,494,095,727,808,094,684,082,385,785,985,453,682,767,828,146,
530,336,548,778,252,653,044,995,198,410,066,083,888,855,170,435,429,054,054,
343,334,369,854,596,433,334,313,251,909,496,489,821,401,586,906,078,355,138,
156,270,946,033,709,137,541,657,721,493,242,653,846,904,260,224,524,764,526,
792,813,720,672,655,914,400,478,770,298,588,400,295,684,004,072,515,387,897,
624,272,967,250,270,340,969,217,036,996,555,063,706,677,831,286,189,896,619,
448,514,967,584,033,716,693,446,930,293,856,034,167,590,931,141,387,813,443,
626,869,997,749,600,919,807,447,255,416,528,022,739,851,119,041,274,271,786,
299,363,943,099,929,455,427,192,049,537,690,840,443,410,281,783,071,142,005,
812,743,867,563,850,813,809,324,249,892,197,310,098,400,859,341,806,069,729,
249,249,031,183,255,776,272,252,729,929,420,759,352,100,404,727,662,038,286,
823,949,995,381,283,079,255,295,949,729,254,676,033,074,520,716,863,118,501,
464,901,476,108,888,014,490,056,853,478,786,218,655,735,443,687,437,615,323,
955,441,258,868,896,046,719,005,119,897,044,330,482,130,851,392,418,991,914,
167,110,909,885,361,147,772,718,972,922,092,654,382,815,754,537,468,833,805,
064,467,927,875,970,374,960,846,581,302,795,557,170,489,486,132,644,141,220,
627,405,640,000,744,522,170,280,912,203,214,651,725,905,321,883,248,452,628,
787,244,114,744,612,864,524,193,624,119,280,446,703,240,727,705,976,418,695,
428,896,183,537,016,281,078,004,278,545,476,987,358,809,553,283,019,528,791,
294,385,732,137,542,810,162,316,611,540,158,379,818,134,524,834,004,177,573,
150,872,731,679,247,711,993,382,851,195,260,065,734,782,148,255,195,333,274,
453,669,923,813,399,143,857,830,842,441,631,750,775,011,570,688,177,952,349,
197,638,611,443,739,772,540,287,847,637,590,041,548,716,310,532,498,110,437,
140,290,428,092,015,675,067,914,127,472,473,749,392,173,524,315,654,034,772,
195,582,851,765,829,445,013,499,511,558,567,810,502,031,151,141,766,395,692,
675,410,416,955,888,409,389,844,097,980,504,470,230,976,056,859,394,009,029,
726,641,095,294,751,792,917,613,057,677,903,865,698,264,677,891,116,174,999,
436,451,303,224,258,209,856,563,563,265,743,753,761,409,374,877,616,614,976,
479,338,458,206,531,100,462,999,524,565,445,324,436,440,452,368,430,759,059,
333,849,362,039,344,436,319,339,952,886,952,361,379,083,040,806,655,495,887,
569,628,160,186,408,221,741,077,673,002,970,066,269,233,739,825,322,829,044,
850,225,237,642,428,621,906,508,977,594,405,429,405,396,435,744,825,876,807,
456,897,819,161,981,158,417,966,310,762,743,171,327,870,803,816,222,887,187,
192,485,306,500,834,345,717,009,450,359,742,813,187,095,958,843,196,964,242,
439,596,469,961,598,739,004,958,864,993,767,799,299,441,560,227,266,207,390,
841,652,384,517,123,908,128,050,642,595,248,757,982,532,843,214,216,253,568,
606,863,481,689,113,107,783,984,049,125,228,723,937,312,608,626,016,599,754,
256,587,466,671,684,073,444,493,624,320,860,744,551,717,148,413,303,184,359,
863,202,184,207,005,006,282,525,919,022,708,217,276,417,571,075,104,225,372,
038,932,192,280,507,853,138,703,133,544,485,619,630,836,639,756,181,678,563,
269,098,316,663,010,118,055,067,586,430,139,709,447,364,419,207,082,870,453,
157,309,638,028,590,287,227,920,324,034,240,217,017,391,934,232,990,661,949,
913,119,004,880,395,332,619,516,829,872,130,535,955,539,504,391,620,433,869,
677,654,231,310,121,747,728,407,116,252,045,211,693,516,921,786,147,157,917,
945,234,139,379,293,017,613,812,929,138,387,836,037,483,526,911,412,403,006,
254,270,930,326,236,310,733,561,179,390,924,558,720,008,985,803,757,989,656,
516,641,208,630,780,139,886,532,400,138,348,826,505,813,093,098,613,775,406,
630,004,889,284,462,471,258,284,618,399,415,952,975,236,016,579,254,408,913,
098,801,163,663,912,583,994,980,704,226,195,990,913,001,889,078,106,927,573,
554,302,705,902,904,974,252,829,670,245,935,794,561,765,042,204,032,523,583,
337,973,396,088,755,913,615,086,837,017,847,397,010,675,595,294,522,900,419,
397,212,466,574,987,243,882,015,833,751,160,341,164,597,952,422,381,221,465,
919,058,358,501,626,044,738,700,736,575,101,868,978,939,093,162,711,219,270,
207,353,578,041,803,918,080,400,989,011,130,018,263,729,994,316,127,755,645,
242,959,838,947,156,438,562,556,799,937,530,801,035,411,135,524,799,314,615,
626,323,987,558,012,000,503,679,814,770,662,933,914,182,970,500,513,300,539,
082,319,938,622,803,951,632,830,700,303,759,568,376,157,098,829,135,223,986,
145,953,549,682,088,072,393,312,573,291,325,599,540,998,678,732,861,356,314,
171,023,359,600,546,447,493,482,739,267,282,180,507,944,814,068,220,339,640,
305,824,854,175,175,572,580,121,221,966,979,600,142,676,815,640,539,828,732,
946,739,613,641,117,612,020,517,388,972,937,640,973,020,166,562,312,441,796,
167,068,152,735,406,969,621,552,730,509,380,186,987,080,075,450,980,332,646,
298,150,219,886,262,707,498,451,309,795,278,447,778,816,019,569,588,474,971,
282,177,298,812,127,454,445,064,934,097,437,946,559,102,134,786,617,568,016,
274,303,464,646,345,663,354,885,283,843,785,562,552,524,077,677,370,739,794,
908,260,908,852,958,173,306,675,703,858,493,179,584,530,474,258,821,432,547,
226,827,510,083,318,121,771,502,152,440,926,199,041,128,095,317,752,570,692,
039,791,981,881,310,426,558,518,663,474,804,341,692,470,454,470,648,821,261,
657,031,161,262,050,228,683,467,319,760,177,157,950,579,357,816,616,552,549,
286,504,834,216,563,822,644,824,462,051,531,497,717,826,585,833,063,444,541,
612,381,876,596,572,891,103,261,744,852,165,268,926,764,603,546,221,267,011,
591,700,198,850,768,746,700,306,657,449,040,478,789,784,881,472,136,667,117,
997,517,221,048,272,908,226,802,144,337,710,067,189,252,214,660,546,276,938,
835,480,773,665,533,129,968,551,335,300,578,955,655,573,096,276,805,640,444,
263,039,089,144,806,120,655,917,065,907,891,998,894,604,953,010,432,213,323,
130,787,700,299,083,242,627,421,253,268,162,806,581,245,100,714,272,045,819,
868,119,363,246,458,258,952,672,556,952,450,662,040,488,603,382,379,630,517,
140,275,507,526,205,773,049,788,172,124,896,079,692,039,714,064,452,245,749,
489,002,442,300,811,411,994,875,743,078,444,988,340,598,043,028,942,023,061,
625,860,249,201,711,916,636,162,188,902,291,872,932,416,432,406,103,666,692,
725,524,896,834,704,678,514,268,171,702,739,094,693,113,506,496,501,535,683,
369,319,279,551,522,244,737,095,938,227,229,044,598,903,483,456,586,167,784,
933,275,439,020,195,316,828,340,957,727,237,353,521,568,985,398,623,208,547,
845,939,253,928,480,872,149,051,061,612,743,306,300,609,379,038,864,978,449,
048,743,677,216,728,726,392,465,527,962,932,049,303,175,959,216,365,877,885,
631,873,300,069,975,849,209,173,596,306,273,293,490,061,053,844,737,322,094,
872,121,123,208,977,546,778,248,377,117,457,408,176,730,994,285,043,151,656,
337,089,615,561,393,430,634,397,923,751,530,217,305,602,712,683,585,885,906,
501,777,517,397,937,319,075,677,456,491,960,758,554,083,971,683,556,275,071,
276,868,822,604,352,394,018,641,378,131,962,368,097,525,087,735,078,049,863,
722,459,153,277,523,720,169,793,511,739,631,339,595,934,856,042,217,704,370,
110,093,290,483,562,229,336,679,250,034,419,181,877,882,581,280,120,855,912,
199,881,676,866,137,025,730,064,558,578,184,790,814,776,680,954,542,572,354,
631,028,114,325,604,640,493,803,903,768,769,505,066,057,271,322,792,789,304,
853,795,560,640,490,264,542,608,987,018,094,963,842,750,324,643,001,901,549,
230,368,823,283,524,582,028,952,137,914,645,641,172,453,025,991,413,783,978,
513,309,806,161,407,046,750,707,221,018,605,279,627,073,206,765,395,597,974,
209,674,176,269,413,842,332,104,151,474,985,959,661,635,737,498,988,234,773,
128,787,785,199,000,723,108,158,167,083,741,471,024,104,376,947,703,380,584,
214,098,927,563,047,932,011,767,782,352,365,413,744,005,504,507,831,687,578,
791,239,081,948,720,054,268,219,436,822,711,582,825,622,318,365,843,965,182,
145,308,560,516,460,799,736,999,617,291,534,694,871,890,841,987,028,563,968,
426,506,419,033,440,393,611,417,699,890,905,785,835,104,642,127,148,303,515,
197,060,870,500,832,079,774,424,529,241,556,056,670,213,592,826,902,633,684,
257,646,884,612,552,690,578,683,140,543,219,829,690,257,714,524,928,918,473,
593,135,619,943,194,036,783,020,368,914,297,195,594,565,854,860,362,276,750,
687,404,507,885,873,409,514,126,570,437,793,233,523,093,828,634,811,062,144,
537,955,041,087,830,974,492,888,504,598,649,303,214,614,755,544,581,718,122,
537,795,077,439,629,323,371,679,350,632,122,568,623,194,330,576,439,275,855,
535,676,584,489,472,386,003,337,602,251,564,062,545,092,348,470,520,384,417,
449,939,513,140,550,340,218,679,748,528,728,567,615,135,373,875,938,948,567,
081,964,085,634,243,266,506,539,632,764,517,712,861,262,656,812,568,674,823,
463,382,199,584,916,870,440,581,412,405,786,654,444,017,913,864,048,493,366,
735,143,228,321,364,704,390,540,405,928,909,428,417,356,310,983,116,291,596,
016,177,292,651,375,570,154,204,608,290,342,182,244,243,938,942,500,676,527,
255,545,503,161,196,440,850,038,878,512,248,209,771,815,969,081,023,899,216,
543,975,726,202,657,607,907,171,320,455,772,828,934,067,522,412,725,923,260,
683,215,958,461,094,882,416,685,270,856,732,515,738,923,430,808,587,944,769,
818,229,037,652,993,465,403,522,804,203,285,280,585,941,470,008,700,436,860,
186,986,670,294,531,074,374,074,622,314,470,780,995,870,186,632,554,304,472,
949,722,791,190,905,301,879,521,577,729,442,393,389,181,043,430,622,778,005,
866,660,752,699,686,106,425,947,189,256,774,937,234,949,167,376,551,282,206,
434,590,855,655,486,491,647,943,597,155,311,522,428,770,752,258,207,228,324,
943,129,267,903,483,432,922,117,400,066,329,471,594,994,697,050,035,333,778,
088,064,175,898,780,715,310,477,997,410,765,847,650,389,919,365,131,848,635,
784,966,981,371,302,199,666,840,059,431,080,262,218,119,100,274,570,194,146,
210,361,906,309,530,417,022,961,613,061,369,270,351,451,549,371,196,997,592,
149,306,830,447,533,115,579,012,554,467,832,741,969,226,636,204,650,359,907,
731,271,168,649,382,715,194,921,110,071,396,042,272,613,554,264,314,718,154,
185,385,785,208,609,669,898,098,991,806,629,125,025,703,930,622,818,652,349,
415,406,261,225,419,305,976,537,685,683,154,741,120,797,871,194,947,101,511,
070,899,952,178,648,615,534,472,020,393,397,723,056,538,063,646,768,372,351,
773,308,983,787,036,246,824,083,986,129,483,810,201,632,662,872,039,548,000,
375,329,887,466,290,761,729,264,854,925,288,977,311,257,775,356,907,295,082,
827,002,991,019,024,462,334,078,989,686,933,870,356,011,385,652,417,455,369,
925,338,581,630,526,813,002,829,156,025,630,106,626,896,904,843,064,310,385,
302,151,768,131,261,938,336,816,543,961,694,677,965,156,097,914,278,929,488,
222,555,785,505,360,680,376,529,574,336,502,476,595,284,546,132,346,238,511,
548,208,744,827,844,174,389,295,840,936,117,831,496,679,863,741,396,297,010,
654,528,391,964,610,922,595,132,872,316,372,995,371,182,849,966,998,021,853,
530,411,378,157,300,893,065,672,552,019,770,625,548,288,812,462,582,552,171,
725,890,918,721,289,731,697,170,884,125,899,846,979,985,258,464,886,017,919,
187,358,106,497,108,094,709,906,265,348,441,226,629,925,292,171,755,177,524,
042,207,602,886,028,216,129,932,004,368,883,714,138,732,143,431,238,157,467,
599,872,524,760,245,622,474,932,330,544,461,198,237,836,603,940,900,598,530,
951,365,479,357,805,791,273,771,732,600,105,346,716,321,077,582,273,172,064,
784,913,825,983,653,876,105,153,565,240,236,912,979,606,700,740,402,737,624,
729,262,975,658,801,064,446,964,062,021,885,770,481,542,957,027,497,525,593,
166,855,830,824,089,124,536,686,896,257,639,548,076,913,122,689,010,962,129,
892,319,110,141,595,077,826,008,313,348,071,445,298,492,961,031,957,659,799,
893,547,639,736,341,789,290,870,561,146,243,834,978,310,245,729,806,680,255,
203,909,856,477,773,675,388,333,177,972,664,525,934,081,978,239,220,149,434,
654,469,293,288,436,434,262,219,819,715,424,515,477,656,517,910,304,263,986,
193,241,118,229,795,784,554,378,732,260,560,872,081,595,278,573,822,431,608,
726,007,693,317,988,471,630,945,496,661,618,643,480,155,251,899,651,836,069,
046,576,485,900,619,086,054,722,073,606,292,332,744,616,432,450,657,985,331,
109,665,673,620,167,577,346,984,197,451,610,809,387,337,867,326,438,112,721,
936,403,294,224,042,402,132,637,221,974,865,046,546,681,783,326,373,115,276,
575,628,877,353,757,097,869,522,227,007,826,989,890,268,856,568,988,821,390,
102,836,431,466,115,877,313,680,108,163,265,547,259,999,416,379,092,882,920,
012,446,813,670,729,434,465,785,304,170,652,916,143,444,113,406,689,152,471,
242,693,686,290,988,140,191,779,616,493,744,589,527,945,043,583,413,801,041,
586,853,389,552,151,982,866,789,261,652,141,087,021,267,443,344,800,324,637,
954,152,237,497,131,160,451,366,544,387,351,637,672,146,069,800,860,674,102,
579,008,675,529,021,190,816,429,706,918,777,054,920,821,734,813,515,246,871,
427,009,204,585,281,110,090,065,689,917,571,477,511,919,402,211,240,992,066,
498,090,101,527,212,950,632,476,296,229,505,718,733,064,529,897,690,153,166,
524,668,620,158,528,420,988,237,557,613,457,415,709,921,565,522,078,109,633,
853,942,012,904,092,447,243,151,918,118,222,898,176,439,246,600,453,602,367,
088,993,143,980,710,608,548,944,147,130,745,398,287,983,455,295,592,141,277,
290,006,053,104,914,914,616,558,680,477,899,866,241,456,482,573,076,899,063,
227,451,889,407,500,892,909,023,953,543,084,471,160,347,025,461,985,835,239,
623,424,790,212,640,091,315,888,727,973,901,631,230,674,744,120,341,041,489,
886,206,120,269,891,807,501,918,508,225,456,825,872,055,723,829,811,196,118,
867,873,969,143,795,838,546,981,372,924,829,323,833,836,045,590,879,663,877,
260,700,436,461,779,019,700,374,639,807,098,186,479,193,563,809,399,021,962,
163,674,642,195,019,151,052,220,071,646,750,002,951,092,952,392,856,650,332,
200,550,231,016,484,417,356,631,865,177,922,202,226,532,513,193,014,791,228,
030,126,475,347,740,846,103,722,970,978,780,017,648,385,285,618,317,761,313,
404,053,308,328,601,716,093,464,757,763,347,058,575,789,618,796,486,642,230,
374,517,691,981,465,281,180,711,993,687,259,892,425,612,235,143,595,925,493,
089,983,977,838,213,582,594,957,725,951,602,570,034,770,171,464,184,262,213,
668,401,341,233,145,562,516,818,954,032,541,851,425,896,765,269,293,326,909,
424,519,224,309,412,550,830,351,603,155,419,935,396,920,377,395,074,575,346,
388,232,864,194,879,948,308,126,168,035,286,387,236,424,625,125,127,549,402,
786,490,471,722,572,511,158,727,975,483,344,295,096,081,010,685,682,550,009,
881,194,904,481,653,727,968,051,630,312,789,664,082,018,754,271,800,943,437,
719,111,079,242,288,031,542,301,526,740,803,025,773,718,332,536,509,475,517,
655,619,894,086,277,585,297,641,978,792,392,594,423,179,175,987,531,396,899,
657,101,859,963,335,050,534,590,965,240,136,775,427,477,778,869,626,059,766,
462,158,998,017,376,153,312,217,494,376,125,186,988,024,303,847,997,232,677,
488,020,961,662,447,804,318,065,492,875,208,907,277,713,466,027,982,414,793,
600,844,579,658,932,997,637,841,272,544,640,636,483,097,675,755,646,448,738,
583,703,188,364,890,469,289,284,009,119,817,800,084,936,011,801,746,728,501,
533,014,107,830,207,456,658,861,795,309,378,545,426,719,714,241,871,578,818,
004,707,621,402,791,664,967,195,040,446,985,525,916,030,770,745,555,896,529,
824,043,003,004,249,228,286,489,464,999,268,759,490,911,918,081,073,453,311,
824,136,274,791,721,789,178,495,458,457,505,890,817,907,690,833,130,675,689,
536,415,570,059,499,963,971,666,826,348,548,143,688,448,716,590,052,616,597,
216,863,769,512,602,403,030,781,764,036,058,155,373,960,168,573,896,798,771,
571,554,513,643,377,950,939,447,364,149,991,523,046,418,395,610,462,409,997,
518,852,865,702,682,958,372,574,300,655,682,533,993,085,785,036,751,520,758,
516,483,530,839,491,610,276,629,839,858,232,148,093,058,559,461,718,737,712,
094,534,194,527,131,057,505,728,298,964,280,428,343,507,041,699,967,496,921,
627,075,476,852,684,136,017,048,520,854,576,434,780,579,759,975,818,418,409,
598,853,509,136,361,545,534,412,092,998,974,306,974,947,458,999,744,926,010,
684,611,866,778,226,136,236,820,149,032,527,667,077,467,919,728,836,961,068,
748,947,053,082,601,649,078,058,167,537,853,990,888,736,183,942,392,915,794,
937,709,111,705,770,168,903,109,816,584,241,630,284,967,828,400,561,290,850,
880,237,063,024,720,269,931,763,650,119,132,010,979,310,941,792,692,760,901,
375,369,426,424,534,781,155,248,519,293,469,481,633,201,156,878,719,905,255,
792,549,218,663,732,566,801,683,267,016,079,800,865,083,267,885,736,604,399,
737,792,981,584,092,405,860,083,881,731,963,300,397,209,598,007,940,269,591,
083,941,292,594,045,186,254,231,131,486,418,561,467,898,730,486,403,136,646,
941,725,556,056,844,953,858,359,171,681,626,921,361,994,470,988,274,271,928,
876,464,183,930,416,874,407,578,879,912,703,189,149,872,974,920,563,625,929,
385,204,321,138,382,743,746,845,216,608,278,164,398,910,544,858,150,227,443,
380,477,511,656,144,150,751,726,542,528,962,331,506,214,104,929,032,495,498,
825,973,841,628,141,683,299,224,383,035,199,439,326,497,952,657,343,358,438,
245,238,705,740,480,951,925,713,865,416,968,342,055,274,681,901,823,464,793,
048,862,433,642,245,996,186,099,392,269,885,049,347,096,699,469,306,690,320,
373,439,941,453,915,879,918,369,629,812,322,665,422,691,850,812,113,658,685,
918,854,692,979,667,625,052,672,055,291,870,440,678,276,215,695,855,452,764,
334,399,741,379,996,127,243,593,387,885,373,755,322,534,842,952,739,212,921,
363,317,844,230,257,478,814,478,922,521,763,148,982,815,449,855,591,757,638,
144,158,893,263,207,516,131,196,902,989,483,886,818,200,042,103,248,999,647,
722,300,739,889,720,391,377,437,101,081,874,489,901,456,277,955,216,743,220,
300,780,008,788,823,417,322,339,129,740,122,082,268,510,866,124,374,450,061,
162,821,718,655,072,053,708,120,969,330,803,478,005,006,997,544,601,534,671,
030,369,228,171,025,392,697,272,645,991,765,771,069,358,466,372,074,307,476,
581,776,120,982,780,703,809,730,655,699,948,238,264,051,510,485,381,785,559,
329,567,885,248,972,791,610,506,655,012,367,374,025,390,744,702,497,609,755,
482,160,457,718,277,291,166,997,920,992,314,489,790,053,338,502,545,576,393,
172,426,270,227,772,498,467,998,395,015,828,961,310,239,351,519,014,128,474,
834,613,292,869,403,868,396,193,535,071,078,795,091,313,944,112,349,281,567,
225,451,591,298,440,919,138,546,009,338,252,155,196,615,514,737,045,477,801,
647,511,232,683,334,404,429,045,479,912,524,439,833,489,279,028,114,707,784,
221,087,196,010,255,962,848,611,994,110,285,631,978,976,474,263,037,654,564,
753,201,876,966,300,957,284,547,685,390,214,401,486,013,200,366,427,166,312,
020,353,835,842,730,238,221,906,163,672,138,083,714,370,594,743,948,121,440,
511,542,526,134,158,461,255,132,141,180,426,999,341,391,602,229,739,653,763,
015,784,034,154,098,655,771,201,153,139,463,620,918,862,449,094,191,430,586,
870,659,440,973,275,263,577,308,752,647,950,449,060,132,711,703,333,565,922,
663,779,951,468,929,103,504,451,394,033,382,552,302,391,202,167,034,319,198,
430,882,049,404,245,239,802,784,770,818,811,852,756,844,072,553,691,841,621,
169,169,056,664,636,163,438,682,564,956,440,888,106,694,568,813,446,955,512,
508,893,723,156,348,455,967,927,382,071,565,328,900,355,508,665,281,540,447,
018,962,297,476,095,081,425,071,712,085,970,160,422,361,613,128,096,821,384,
588,078,232,862,411,591,828,522,039,801,649,119,340,281,096,231,945,748,849,
217,341,400,508,093,996,937,519,747,411,049,464,385,461,009,490,094,758,225,
016,061,987,610,308,905,130,302,982,083,398,866,420,147,279,120,595,416,005,
512,144,438,448,918,253,247,124,683,424,307,410,409,579,701,164,667,213,370,
112,409,310,104,219,083,994,422,458,166,024,611,928,699,932,970,924,758,701,
670,365,438,731,990,169,176,140,060,202,614,128,862,899,830,778,645,721,020,
664,076,889,544,862,798,378,442,766,135,360,702,561,692,359,191,174,385,890,
581,355,096,504,687,878,811,337,522,979,585,932,286,427,769,208,288,992,200,
390,204,949,418,083,767,566,210,678,358,805,147,022,891,914,656,199,007,951,
557,522,191,032,086,714,713,676,213,339,156,956,505,401,390,796,108,940,020,
839,101,298,688,123,911,271,435,429,635,688,004,616,284,126,737,522,364,929,
610,443,293,510,468,148,284,697,216,311,775,756,776,219,870,101,257,219,303,
098,147,296,815,130,700,562,692,951,617,836,832,252,945,166,854,297,564,971,
573,934,834,869,779,786,412,768,302,150,421,496,481,043,738,131,477,303,432,
120,321,227,571,923,182,396,400,356,283,510,200,313,657,874,942,540,134,338,
805,614,243,380,840,486,047,450,071,777,881,650,856,903,172,269,143,493,983,
525,436,717,924,029,228,503,454,755,437,313,334,676,803,436,662,960,519,516,
325,461,882,834,185,598,352,170,698,898,874,224,358,900,567,206,492,705,557,
242,404,131,443,107,889,186,892,031,558,612,068,576,645,009,834,559,728,500,
861,997,848,564,159,023,872,503,535,921,444,815,906,484,566,455,389,986,841,
666,335,391,247,961,428,237,509,188,175,766,510,365,086,755,913,284,495,608,
210,864,253,073,293,883,977,042,715,128,768,604,372,854,641,470,411,742,706,
722,443,650,232,166,938,540,642,701,715,938,338,483,753,899,900,656,797,002,
775,141,443,160,138,293,979,443,698,478,701,522,324,124,860,499,131,086,841,
296,512,050,010,151,624,640,397,823,109,355,327,872,461,504,235,254,514,359,
701,522,281,884,049,869,800,036,022,783,652,461,281,617,918,908,313,397,604,
757,258,238,028,621,604,895,661,509,018,223,800,979,638,598,727,230,100,325,
067,530,413,370,476,355,238,687,205,197,783,703,903,246,220,815,802,103,776,
896,287,356,740,414,098,594,503,421,866,402,795,251,237,770,688,378,628,178,
507,724,670,609,971,902,543,231,007,871,359,006,069,539,179,986,916,686,136,
867,248,318,516,863,069,695,743,586,808,463,745,112,679,748,054,959,214,734,
607,640,807,520,845,106,741,184,788,912,421,557,456,653,894,012,060,155,375,
484,163,971,486,354,075,369,341,028,419,187,670,504,345,553,137,800,790,953,
736,985,104,462,668,168,042,973,535,439,738,874,779,615,443,059,002,759,437,
914,476,676,904,071,794,131,100,670,124,259,518,140,105,199,567,549,851,283,
758,070,531,671,388,997,804,395,546,185,093,831,808,128,115,829,953,142,198,
956,274,753,408,826,503,372,539,069,005,712,711,131,933,311,521,710,292,827,
391,522,859,214,291,828,545,470,743,979,136,926,488,279,880,719,479,163,982,
284,926,863,720,309,023,645,184,843,438,876,280,745,945,031,494,611,522,121,
461,899,505,786,116,670,991,065,022,768,602,502,747,164,797,507,372,024,677,
960,738,230,359,700,140,002,252,187,437,467,406,269,497,548,847,634,601,519,
997,449,418,880,471,974,437,844,674,836,199,870,057,705,675,173,465,697,521,
646,049,686,005,313,470,608,877,194,541,332,417,371,576,565,172,374,398,126,
699,037,921,217,300,047,568,062,098,028,426,314,062,398,942,717,178,410,735,
153,029,975,958,558,274,393,431,873,749,389,647,253,398,680,806,831,784,565,
246,044,864,270,656,244,038,303,237,149,808,912,469,253,145,399,960,863,909,
516,000,456,412,127,082,494,388,302,877,738,675,199,801,764,906,828,116,102,
238,817,609,433,130,708,483,958,271,127,387,673,318,513,712,696,857,168,072,
068,462,021,620,565,092,731,144,755,820,198,631,493,159,250,316,660,188,748,
516,119,804,997,637,937,508,499,805,445,499,955,093,984,231,579,546,930,438,
680,032,523,583,289,352,565,012,404,525,370,317,009,764,727,192,544,839,933,
387,405,023,427,835,343,633,689,244,822,028,911,325,343,817,337,628,547,491,
639,698,434,957,371,433,443,947,685,635,169,220,102,150,402,919,101,311,537,
556,364,575,864,675,504,610,427,080,296,807,673,170,612,503,926,611,294,645,
924,817,426,128,064,423,956,247,447,225,763,551,546,774,771,900,141,383,875,
658,585,037,314,586,265,518,238,973,441,632,070,545,332,356,249,020,341,914,
227,202,724,118,325,661,533,043,083,984,282,129,169,930,314,952,276,899,975,
373,531,058,986,458,221,584,583,882,378,789,510,627,414,446,985,404,773,450,
910,702,061,511,117,945,469,021,503,455,832,192,167,321,733,968,748,347,668,
639,026,389,136,804,881,968,404,920,952,197,715,512,031,193,778,766,978,287,
742,645,710,137,573,698,634,054,445,118,714,687,029,955,703,017,105,556,427,
813,371,578,604,033,287,113,603,972,977,854,654,981,492,925,041,415,080,596,
301,191,638,669,168,151,659,194,370,631,328,926,216,691,600,857,043,181,646,
268,637,597,672,487,668,040,675,721,714,084,653,518,230,481,312,502,714,402,
345,558,380,607,039,339,044,805,967,616,252,767,337,090,749,290,263,366,781,
669,993,494,077,432,444,901,350,791,919,145,035,006,829,584,425,888,528,525,
573,257,108,619,044,764,323,623,355,234,689,344,860,556,439,880,383,939,694,
885,701,098,444,255,736,939,577,726,331,761,671,790,102,855,464,502,191,931,
459,816,046,255,028,204,274,163,072,613,703,443,756,323,632,156,384,273,855,
437,063,169,446,386,952,436,554,792,198,627,976,537,660,604,666,111,710,542,
447,555,042,849,657,779,565,195,077,878,048,592,498,712,609,401,513,411,024,
227,785,037,645,584,169,273,421,705,184,498,377,350,755,918,962,177,735,346,
549,311,043,163,390,990,042,598,784,143,755,461,249,955,614,544,171,331,339,
651,300,814,209,366,778,613,345,124,712,623,507,290,431,628,120,593,854,130,
490,121,018,960,498,111,409,156,454,308,475,460,500,061,045,237,373,490,750,
286,699,456,405,813,207,403,846,037,111,616,937,494,249,684,427,210,588,775,
414,704,792,311,281,155,324,873,698,900,703,350,965,952,762,229,648,499,452,
673,139,474,762,758,709,150,873,420,283,458,151,172,170,685,766,860,360,736,
650,579,580,859,206,991,413,427,789,454,422,430,985,778,339,637,844,499,791,
577,990,688,309,386,168,034,004,734,431,913,447,802,664,580,473,968,142,802,
915,470,121,972,159,328,701,062,092,948,068,470,800,541,301,487,502,659,667,
723,291,031,991,426,534,973,450,693,204,707,686,587,375,166,140,288,973,762,
132,663,352,217,812,399,343,794,621,985,279,325,346,428,678,818,416,847,067,
598,636,384,274,301,079,536,145,729,661,201,247,899,858,917,549,448,679,962,
185,298,472,644,450,612,944,140,364,674,143,087,240,052,173,247,902,213,943,
832,786,608,301,174,119,228,490,260,697,682,771,513,086,226,036,802,707,598,
966,973,390,948,273,732,758,603,399,222,539,361,680,512,161,160,203,323,922,
789,035,942,761,594,652,380,590,143,217,855,399,096,383,472,356,758,033,105,
467,922,139,051,511,094,289,323,552,900,489,603,360,742,772,840,994,216,263,
517,695,341,382,495,200,984,139,264,686,975,336,858,156,902,278,217,841,505,
391,373,030,277,464,502,231,233,671,648,643,863,540,605,112,857,160,234,884,
072,041,331,673,388,430,751,230,851,918,013,063,656,791,836,631,084,420,247,
429,436,628,386,889,669,512,208,918,556,832,248,913,353,430,156,051,339,939,
465,569,872,759,850,172,880,476,660,530,387,458,555,769,620,750,626,252,009,
573,330,119,570,810,860,633,289,844,434,300,802,414,784,033,634,486,888,705,
921,461,727,747,892,373,334,099,128,921,545,696,661,119,880,541,407,046,603,
800,275,575,167,177,271,024,674,846,688,038,520,396,007,239,989,573,381,490,
723,448,823,743,510,306,945,057,214,471,664,728,738,972,750,955,843,010,147,
226,734,737,222,751,457,219,353,561,488,772,868,363,176,606,755,159,956,274,
435,994,173,264,760,716,735,321,270,192,909,272,126,839,985,854,028,224,987,
193,613,808,129,822,130,178,205,080,333,739,650,992,228,049,222,660,871,436,
739,096,900,964,739,689,790,624,529,000,216,532,264,935,418,085,294,399,562,
341,728,267,094,705,207,320,367,718,805,493,658,359,710,843,583,227,343,828,
573,834,747,632,016,288,894,082,584,987,149,615,613,715,416,038,971,782,497,
047,506,004,053,159,980,588,960,521,587,068,761,260,075,678,421,958,200,971,
102,988,549,071,974,879,753,159,940,096,029,086,872,813,627,032,713,436,374,
508,339,276,306,511,177,132,051,029,087,201,634,307,877,635,294,841,100,667,
745,195,818,660,114,001,594,000,034,278,691,615,772,272,523,977,847,352,158,
894,343,309,639,897,889,507,811,785,622,447,232,861,339,512,641,587,158,974,
191,387,677,322,378,409,608,664,786,107,202,390,917,173,265,155,738,502,523,
244,493,665,984,165,568,890,008,601,678,543,926,758,169,254,324,273,074,355,
531,747,172,506,875,751,715,219,769,235,316,665,335,534,292,671,473,135,198,
592,063,399,548,444,299,245,068,824,899,135,620,667,112,556,836,164,175,457,
370,128,917,787,719,655,868,039,644,783,106,519,031,717,908,101,045,226,112,
615,949,705,992,786,665,335,573,208,977,001,587,124,341,663,633,357,559,661,
073,960,191,545,165,604,794,813,264,049,116,764,137,342,674,130,105,551,832,
603,523,672,691,247,463,903,501,927,549,472,121,246,688,396,637,759,709,550,
917,480,152,796,523,053,549,974,610,333,734,800,172,120,477,142,172,835,919,
112,565,152,975,715,179,323,327,436,229,884,591,271,165,031,785,581,755,848,
025,602,939,951,484,211,590,493,839,032,882,730,873,716,900,055,358,985,083,
975,364,813,552,758,038,809,168,000,046,806,192,246,229,223,129,764,182,343,
856,985,962,296,890,421,388,709,464,670,765,733,574,125,594,503,358,786,829,
126,498,098,656,603,397,206,661,179,584,107,473,025,053,395,443,680,714,687,
648,055,609,981,711,644,684,104,171,818,688,469,832,834,309,728,988,664,259,
897,335,154,545,477,289,954,788,639,042,317,388,691,758,361,234,699,264,934,
566,685,665,601,541,431,722,977,071,341,429,286,285,664,567,077,276,607,593,
899,092,928,965,821,307,415,975,606,028,505,229,288,115,720,304,451,450,667,
274,819,052,312,606,167,919,180,188,894,035,210,710,560,475,651,023,575,322,
250,672,172,454,684,434,603,071,149,826,403,169,606,043,353,423,764,522,576,
085,250,321,306,629,182,654,676,398,221,863,728,376,626,723,123,794,788,646,
198,591,894,104,948,367,719,816,592,064,113,032,948,893,804,819,785,177,836,
579,445,749,837,200,797,238,521,273,343,491,638,326,614,009,612,202,886,719,
225,562,951,561,570,333,434,563,730,785,820,758,654,852,411,046,084,462,106,
424,959,926,582,220,981,032,328,840,764,548,797,379,018,707,735,689,771,675,
558,458,215,634,187,377,725,802,835,153,458,788,876,458,929,576,100,899,834,
023,337,697,066,590,666,864,774,828,338,173,894,367,229,450,484,317,847,999,
617,085,997,685,720,846,506,962,554,310,251,473,930,266,500,886,375,186,898,
345,405,732,495,384,116,743,111,865,850,267,254,750,314,537,827,900,876,262,
689,322,504,527,141,439,659,620,743,676,535,692,441,638,389,619,646,732,030,
001,584,985,683,683,064,100,756,282,578,126,978,242,963,915,951,460,166,295,
526,919,722,971,678,068,423,727,208,531,959,464,858,929,753,620,422,106,246,
853,748,337,246,118,812,564,711,731,390,544,208,408,195,461,095,807,546,381,
094,959,518,098,871,785,147,422,237,107,171,833,701,146,821,935,119,153,397,
107,216,259,819,514,056,234,611,850,849,033,255,247,733,597,235,161,807,660,
560,039,841,704,165,199,232,961,220,156,333,470,448,106,501,624,350,751,126,
370,521,334,906,798,725,975,440,139,905,397,691,293,348,077,667,336,525,602,
845,793,477,079,533,858,897,674,500,811,567,634,774,843,935,655,235,827,807,
877,399,924,137,835,004,042,873,675,355,440,807,983,825,152,170,960,944,678,
686,953,822,807,777,616,932,826,705,314,689,424,273,168,016,419,817,282,925,
927,242,937,877,205,784,782,392,947,156,667,697,231,052,191,398,441,658,656,
359,134,078,612,599,359,037,357,364,294,854,638,043,369,565,356,488,847,756,
647,018,833,899,402,258,281,652,628,684,331,789,346,969,938,214,581,614,472,
457,963,372,485,258,679,573,915,039,833,720,914,456,373,170,860,897,471,159,
687,126,709,842,843,805,936,948,853,509,698,585,156,586,029,150,320,866,405,
144,482,194,023,984,802,001,274,646,575,522,385,017,078,983,086,914,173,049,
673,090,421,424,528,213,434,193,282,477,396,095,668,641,350,647,591,411,056,
926,817,868,387,989,604,028,173,096,303,500,255,330,369,316,238,258,705,172,
043,108,333,448,171,658,244,109,118,360,740,340,049,646,240,158,614,380,029,
733,654,835,651,290,467,772,870,568,201,718,625,900,029,137,207,828,063,989,
369,029,026,664,275,015,249,342,287,335,402,521,227,911,821,411,610,322,922,
639,965,007,400,218,470,267,074,946,482,345,165,920,412,925,928,992,697,548,
560,757,897,116,465,881,314,490,351,483,518,375,131,205,110,256,750,880,812,
195,293,887,458,806,198,543,238,781,883,329,912,641,084,689,285,444,300,709,
621,012,925,667,214,726,797,763,240,357,579,961,864,854,447,226,371,619,761,
592,788,569,380,122,913,282,705,769,143,622,234,399,241,048,368,540,606,893,
988,339,883,284,511,102,809,858,623,982,720,935,845,941,359,373,304,233,756,
884,417,792,455,136,375,697,754,416,813,797,239,201,318,435,909,512,770,000,
224,894,911,210,590,994,565,078,314,276,016,625,758,918,990,333,981,145,089,
437,011,206,566,042,593,685,284,976,906,080,638,016,446,512,700,989,603,994,
868,675,686,718,378,673,966,972,904,027,195,696,129,614,041,421,785,278,717,
966,119,851,483,102,443,548,310,449,255,612,186,231,037,983,834,070,175,340,
187,614,437,230,001,058,512,727,839,046,492,417,074,553,421,613,986,795,019,
873,246,964,783,770,319,225,862,830,772,136,898,152,784,915,482,976,366,796,
457,014,971,297,221,250,549,824,242,672,848,524,470,486,230,757,785,350,546,
868,825,872,012,975,605,414,293,761,312,797,421,008,418,765,518,046,703,099,
763,946,853,727,497,699,667,127,295,509,868,245,610,444,244,708,452,420,595,
515,620,621,121,890,891,816,120,233,228,558,399,639,844,163,816,837,493,275,
791,844,367,940,185,672,875,452,601,640,887,369,256,659,580,521,548,236,412,
103,112,511,678,649,797,254,956,818,343,597,008,554,239,184,918,781,545,440,
298,935,134,793,485,239,567,698,438,267,613,930,487,188,710,437,342,192,216,
279,036,958,991,473,790,478,347,233,423,596,602,026,245,195,121,455,645,744,
797,276,893,989,026,984,439,732,560,560,803,830,021,216,350,178,660,925,888,
466,665,778,349,980,768,239,542,473,465,257,710,881,184,566,839,644,631,475,
819,722,216,875,805,202,173,233,268,590,116,932,245,557,993,709,506,468,589,
337,971,455,510,322,030,943,580,425,008,015,359,258,389,716,916,855,339,972,
625,188,317,663,148,293,428,124,500,095,370,428,854,148,150,088,344,698,382,
895,171,473,786,092,337,214,893,766,005,996,821,938,361,152,560,863,132,117,
244,369,611,656,938,651,605,672,897,611,038,176,009,837,044,102,596,449,378,
193,362,314,121,805,950,182,578,119,278,394,283,163,690,599,403,621,353,454,
122,615,492,843,246,606,235,730,953,556,342,198,474,401,010,112,906,835,508,
508,914,750,686,087,696,012,323,664,420,913,777,709,971,402,902,446,960,086,
477,871,153,880,652,490,350,047,535,498,615,509,256,746,835,836,907,437,095,
471,934,690,122,340,775,353,116,143,066,780,639,381,752,613,404,037,429,596,
970,174,226,035,372,752,258,965,075,724,600,782,755,405,675,575,918,084,880,
595,746,606,335,221,096,924,131,914,737,710,700,301,221,538,306,100,709,089,
836,608,009,638,075,187,221,700,363,289,162,990,975,386,607,340,293,453,021,
608,126,902,448,954,950,413,168,367,856,725,296,253,421,891,517,030,748,319,
308,682,724,766,705,665,563,569,579,883,658,230,853,940,946,223,897,891,242,
964,817,415,731,815,326,336,234,614,138,011,269,113,387,505,616,641,581,647,
080,839,450,060,511,471,246,626,762,157,377,027,246,112,566,099,281,328,069,
557,293,989,527,355,165,513,376,839,169,992,512,179,595,637,364,748,825,559,
479,850,306,178,479,625,036,020,308,812,665,423,627,002,192,760,680,527,537,
758,308,716,613,835,700,024,708,555,344,567,782,599,063,659,790,787,042,330,
011,869,170,322,030,832,514,053,002,271,734,278,478,635,380,796,004,778,107,
559,062,982,077,863,019,704,172,931,425,186,403,631,140,876,384,444,605,167,
986,520,375,129,473,706,433,467,958,755,848,896,548,425,666,419,738,275,195,
721,637,396,486,232,755,017,239,649,166,068,755,965,272,552,508,444,904,234,
672,740,041,656,395,720,094,381,176,659,327,752,929,637,524,363,318,834,620,
593,349,503,679,230,185,273,987,918,456,694,018,785,891,973,805,396,477,241,
348,235,409,703,528,126,181,594,792,200,817,550,622,833,102,908,251,364,602,
801,341,881,998,674,959,132,293,812,108,164,511,078,449,106,921,808,827,304,
988,300,959,268,252,841,247,960,276,453,939,862,572,181,599,944,019,549,794,
768,071,098,311,559,748,539,016,962,651,231,187,586,688,129,428,135,120,209,
120,604,480,029,890,761,655,079,484,509,016,576,877,278,895,661,197,537,048,
889,702,307,107,755,478,643,991,032,996,166,344,718,287,173,880,372,300,558,
745,676,893,471,995,897,991,479,838,209,081,637,850,345,013,061,591,134,073,
877,026,222,222,205,827,760,655,901,498,764,274,786,738,615,611,030,666,534,
097,164,902,766,861,120,335,838,669,533,029,617,404,230,828,113,575,782,423,
352,814,795,521,439,421,019,237,773,144,092,629,765,638,061,019,996,556,234,
384,732,142,743,658,789,157,721,158,391,507,240,514,170,986,740,162,834,493,
494,995,339,023,922,983,561,709,195,508,546,130,480,203,285,596,049,130,133,
057,729,001,902,611,917,958,744,554,249,994,848,663,448,643,088,249,145,748,
226,797,082,225,059,417,681,060,562,706,264,329,997,308,277,119,775,160,884,
741,180,950,136,887,070,596,876,509,429,028,467,605,638,068,976,839,296,191,
800,407,965,702,535,128,265,414,998,439,494,075,859,215,288,836,301,528,293,
678,900,256,910,621,557,068,632,471,114,530,891,074,441,155,234,878,699,094,
088,626,052,278,568,039,111,455,019,515,820,955,468,554,235,049,565,254,765,
670,379,792,948,629,413,649,866,304,657,448,238,551,461,989,791,966,283,333,
909,048,280,903,109,866,692,453,552,402,832,252,839,861,167,665,006,604,469,
493,169,395,237,060,494,376,204,524,725,246,654,701,680,891,908,918,293,354,
138,659,932,370,622,223,730,028,681,463,515,772,965,367,765,590,824,987,452,
140,287,879,589,570,260,471,509,098,653,082,347,680,448,862,896,458,226,585,
203,109,196,545,861,000,552,831,197,697,383,007,760,824,852,701,710,273,103,
752,729,733,833,602,138,272,704,362,851,876,919,485,357,258,572,640,140,471,
389,891,928,818,267,080,862,410,876,597,576,008,004,491,795,455,233,582,583,
235,656,302,387,590,915,511,404,183,288,707,251,727,105,107,317,650,185,362,
001,426,937,582,522,131,006,000,357,888,496,839,179,944,580,595,388,169,994,
444,693,713,689,405,908,340,704,651,030,863,002,548,779,691,481,300,506,021,
989,209,572,719,612,650,816,848,698,969,029,920,264,140,215,512,263,428,810,
895,558,955,451,867,455,475,795,843,301,697,331,601,534,869,859,672,811,659,
196,513,197,239,128,461,407,235,700,151,268,741,498,753,201,150,863,073,677,
760,960,433,737,881,893,174,098,413,811,198,255,756,437,691,619,433,177,445,
000,602,665,592,859,691,619,008,627,850,074,914,265,758,714,053,390,892,198,
755,725,095,816,323,874,731,875,368,184,149,518,571,267,994,462,221,175,480,
141,755,623,752,854,580,086,320,065,622,775,468,953,620,939,054,713,605,289,
747,544,498,566,766,013,618,112,649,803,370,665,516,457,488,852,939,134,397,
890,554,146,134,560,542,208,916,193,639,576,696,344,153,481,861,914,028,780,
384,808,194,738,878,807,365,503,654,778,346,043,876,474,865,409,797,667,608,
071,144,936,027,359,660,826,486,449,057,101,763,647,888,900,586,076,367,745,
807,572,576,749,425,013,798,013,889,308,767,449,640,720,058,834,472,970,482,
035,673,333,425,568,042,070,739,689,834,356,196,466,687,414,974,647,354,953,
115,132,548,566,096,234,688,289,211,228,297,695,089,321,438,554,426,757,566,
523,637,310,773,584,107,162,739,096,899,188,236,287,730,548,753,065,328,591,
880,607,769,905,668,249,463,990,328,189,267,575,517,042,737,355,080,725,628,
501,097,691,800,613,657,021,721,506,664,076,138,936,053,167,324,538,643,012,
488,481,289,078,844,088,795,543,643,855,780,058,996,207,920,419,399,311,261,
112,951,788,272,722,432,566,706,041,667,212,010,137,664,601,771,575,541,510,
759,767,615,445,550,571,585,747,779,892,079,081,765,606,398,643,088,241,065,
298,995,220,678,556,895,609,236,568,914,009,247,206,035,377,928,927,767,907,
823,435,157,240,369,057,263,346,345,654,387,827,648,354,005,996,209,817,579,
447,260,417,615,345,031,367,208,169,154,112,031,820,768,015,920,342,624,684,
774,601,929,936,798,930,424,354,945,514,869,776,831,291,051,861,739,038,409,
636,861,485,598,558,359,529,267,986,425,057,298,724,775,285,256,420,130,197,
622,550,697,733,093,300,380,538,050,866,959,858,986,301,128,743,349,507,888,
233,765,048,525,340,662,841,482,214,148,275,336,364,724,184,990,687,387,960,
414,976,288,419,995,478,422,575,010,534,043,070,805,602,759,548,722,774,284,
520,336,316,251,555,841,137,731,597,119,408,295,201,546,063,975,759,753,483,
874,274,083,708,611,307,628,422,225,536,904,097,852,444,172,771,614,468,371,
524,087,091,634,708,019,993,098,210,159,349,857,610,537,245,527,647,446,079,
996,898,336,839,933,961,790,573,056,501,050,745,048,545,052,693,631,201,225,
676,502,835,438,383,883,305,708,861,812,630,156,434,064,265,584,814,660,821,
849,155,749,454,727,399,976,809,900,078,273,466,743,340,567,561,365,774,582,
959,461,653,694,454,560,259,089,573,176,526,075,276,530,830,416,679,373,517,
729,673,112,740,888,767,164,124,907,126,957,289,344,174,053,209,593,353,177,
441,224,920,083,680,636,068,060,424,769,124,672,866,746,837,587,901,387,866,
064,171,648,375,484,646,892,926,158,296,962,868,646,045,312,216,155,630,272,
021,932,267,528,996,401,672,641,306,690,032,195,647,116,029,767,828,064,529,
257,506,925,670,695,892,692,236,034,156,577,285,494,605,057,751,582,955,518,
688,337,688,473,321,691,852,045,825,548,571,530,014,494,310,949,368,260,445,
172,751,069,193,288,720,455,707,036,563,260,135,269,254,802,507,496,167,769,
042,240,132,260,093,272,301,834,155,124,839,633,066,194,722,960,939,562,287,
015,107,451,100,230,038,182,448,305,748,567,289,111,670,958,626,718,908,010,
970,896,298,361,116,505,557,474,715,325,369,256,197,413,995,112,064,150,446,
683,399,937,646,853,993,970,253,925,257,764,044,632,607,041,748,051,662,125,
888,898,339,157,073,134,113,997,144,919,255,559,382,115,997,646,373,485,030,
136,023,234,572,289,477,481,186,911,656,546,924,276,695,787,447,920,202,973,
349,158,677,709,980,149,953,193,919,776,776,140,861,451,747,701,389,293,126,
647,257,248,186,126,599,484,495,072,537,611,343,751,160,969,103,630,417,313,
626,400,992,320,693,744,324,450,425,173,806,960,297,972,462,186,070,389,505,
905,569,950,200,781,966,822,878,176,889,427,906,265,365,645,085,084,945,618,
671,152,986,626,505,168,750,008,679,065,061,966,044,003,439,599,413,874,820,
116,881,055,561,026,189,755,753,909,874,763,678,905,391,810,057,964,836,035,
678,704,161,209,556,292,416,836,422,537,638,019,604,557,877,642,249,480,342,
494,706,196,801,599,972,606,065,479,682,417,170,347,750,468,100,630,198,560,
278,404,125,916,279,387,020,141,925,404,375,781,770,131,723,375,597,589,988,
214,344,493,851,481,997,017,800,838,405,305,237,235,799,554,690,479,953,659,
601,471,950,438,179,014,271,324,219,196,119,314,921,960,156,259,946,626,617,
894,670,376,745,052,770,582,155,874,339,759,628,379,959,508,972,495,218,666,
843,147,093,947,725,628,371,117,973,976,316,112,946,954,130,158,852,962,627,
074,784,161,713,200,768,198,611,886,428,178,185,724,053,446,198,999,302,732,
723,094,670,688,307,448,087,948,701,053,078,931,635,819,864,480,165,563,855,
763,731,847,850,850,226,770,622,880,400,335,551,845,076,613,061,960,278,995,
287,297,672,064,998,729,322,945,969,687,114,528,433,234,224,224,044,030,238,
499,469,165,112,584,076,616,886,018,603,486,144,766,903,773,934,834,033,772,
730,230,332,113,690,846,087,254,817,149,976,219,259,830,552,395,092,117,417,
022,169,496,221,618,583,248,139,507,185,035,471,880,075,957,490,885,463,049,
277,046,990,745,114,901,967,401,030,361,955,160,210,064,326,130,174,414,027,
008,635,717,019,766,996,724,210,168,288,990,845,486,373,278,900,068,186,659,
281,106,359,113,460,139,511,268,269,643,755,631,544,035,361,022,298,984,511,
892,532,524,415,731,401,350,953,359,769,414,462,270,938,311,187,440,749,211,
963,839,127,439,418,294,998,096,501,228,812,220,279,646,763,254,498,796,373,
027,541,203,272,986,564,253,398,456,008,436,079,765,735,858,128,296,664,236,
304,654,472,934,150,900,057,434,082,178,225,229,977,707,240,296,771,091,007,
074,429,228,311,859,836,435,156,759,858,437,258,047,978,819,094,453,802,267,
178,070,524,444,740,372,557,509,452,214,976,588,072,016,480,999,569,574,131,
262,546,799,217,664,290,603,417,860,927,177,345,064,684,585,567,739,002,607,
422,288,228,176,359,883,880,025,288,625,839,845,729,901,617,535,932,371,203,
377,675,625,154,741,074,120,179,903,983,226,886,022,807,263,947,377,573,732,
146,198,298,063,122,045,391,368,331,753,214,013,840,343,316,869,720,940,816,
797,618,235,742,801,448,807,552,418,164,589,354,998,261,577,735,151,751,246,
925,729,488,128,860,236,655,349,070,317,081,090,124,982,821,710,096,218,587,
958,311,478,783,488,717,152,906,380,867,007,146,239,045,680,972,165,596,521,
219,349,718,635,104,358,515,752,702,683,148,909,729,350,544,680,250,019,934,
167,278,268,817,481,723,806,201,133,531,405,897,322,552,815,798,499,249,687,
355,295,623,370,202,840,553,051,642,821,845,974,778,668,838,951,176,635,590,
653,602,595,494,316,803,288,463,169,240,590,482,425,370,306,902,166,302,340,
358,846,205,838,467,152,732,075,418,384,567,372,517,482,001,226,752,150,097,
755,961,205,191,760,574,161,270,600,176,963,557,877,286,326,132,769,927,603,
064,873,824,835,319,488,374,615,962,914,029,647,173,770,137,501,735,985,240,
160,839,072,574,567,650,943,672,291,677,552,190,559,067,264,123,193,994,175,
864,598,517,691,204,884,881,085,470,438,836,060,886,858,614,867,924,398,059,
000,855,343,314,001,916,653,513,087,254,455,236,582,299,540,741,568,413,876,
027,423,585,056,837,781,763,774,529,556,960,526,340,440,376,535,931,647,594,
390,895,366,694,472,049,506,693,973,875,466,673,797,853,144,795,616,269,539,
514,074,108,451,137,299,850,723,572,618,745,632,997,068,689,626,123,502,526,
284,013,946,663,209,142,424,765,442,960,890,709,845,805,841,933,934,050,967,
519,460,835,421,764,513,825,229,554,722,622,734,766,496,247,014,847,368,167,
223,847,594,525,249,964,336,280,385,220,499,495,173,509,070,100,321,552,855,
459,096,545,113,339,176,759,952,422,152,718,265,057,260,012,778,017,666,751,
605,297,224,331,759,409,156,290,696,336,376,291,633,158,079,212,552,853,595,
513,144,764,872,788,496,073,659,988,862,262,509,389,239,839,471,176,528,322,
201,036,150,481,707,720,818,535,377,086,820,117,829,598,534,055,755,623,042,
182,026,815,777,501,722,020,019,116,329,115,557,160,684,253,563,581,416,244,
432,238,609,202,875,169,281,721,839,617,598,828,625,624,689,393,919,473,286,
486,059,715,485,906,924,312,235,955,313,943,222,814,639,921,969,935,268,953,
978,221,190,446,836,317,353,703,289,070,505,401,893,658,318,712,725,468,315,
231,360,442,939,537,210,812,407,559,444,035,641,905,275,498,850,814,420,011,
850,841,099,694,362,827,882,216,036,738,358,738,861,305,035,193,723,153,392,
135,976,125,945,571,493,743,431,370,383,965,813,976,091,417,841,655,864,992,
368,064,340,457,406,315,098,201,773,232,280,005,219,690,213,913,656,023,838,
125,675,082,932,728,701,232,163,187,202,279,870,722,233,285,175,718,577,571,
153,166,696,592,464,577,592,416,909,806,710,523,046,820,119,628,146,252,766,
548,283,787,343,574,162,779,656,316,511,847,544,412,820,851,952,515,637,574,
584,088,609,136,388,590,428,048,640,957,677,921,515,465,295,663,378,215,191,
572,606,075,776,159,061,959,046,465,720,525,462,993,488,549,511,182,066,347,
963,433,699,626,532,523,282,500,540,713,731,162,847,697,981,944,834,356,717,
503,035,729,006,022,961,063,474,828,860,237,384,838,529,393,970,668,087,512,
740,213,426,106,938,775,530,249,903,264,259,453,676,044,446,742,808,034,074,
604,370,660,620,739,372,115,015,993,536,951,378,070,798,688,086,205,081,316,
798,184,347,075,134,958,521,873,637,156,767,133,487,962,288,455,113,403,662,
387,347,488,255,539,581,708,606,686,422,285,171,820,991,018,728,357,776,205,
764,606,040,902,947,768,239,402,199,502,596,510,423,948,351,235,736,472,172,
231,580,793,214,316,937,644,384,566,962,328,395,545,417,432,302,652,167,390,
508,471,661,549,611,795,473,422,823,467,988,685,099,865,658,594,778,911,407,
099,390,172,327,579,686,015,470,074,976,358,382,554,599,305,242,957,488,856,
213,737,137,911,758,224,683,476,809,570,527,666,995,565,157,474,624,430,673,
277,291,838,469,110,047,421,374,705,955,138,301,496,062,924,131,401,275,418,
068,393,194,182,676,416,807,845,154,289,660,326,145,715,514,710,644,695,880,
534,968,093,040,352,690,717,845,517,215,424,859,130,727,145,347,740,240,715,
680,831,916,865,564,376,798,395,671,428,759,062,735,979,556,879,132,164,069,
102,377,407,737,150,137,883,883,623,635,382,447,216,711,553,784,366,694,698,
005,914,057,705,454,426,212,138,810,705,433,040,871,921,318,418,370,516,467,
249,419,488,401,362,590,275,802,875,554,512,080,163,460,461,068,588,500,574,
712,804,580,671,869,746,738,858,627,200,353,863,991,335,672,105,419,707,960,
688,382,712,480,569,009,386,157,856,798,371,118,554,014,218,109,572,898,079,
317,454,978,698,112,041,883,869,408,215,438,173,086,044,482,879,591,685,377,
143,708,636,644,406,008,805,089,442,013,211,473,667,646,571,423,341,324,911,
424,104,637,652,605,914,849,131,426,009,468,147,771,820,994,076,399,849,235,
196,131,071,607,852,370,364,243,618,844,171,726,305,004,688,707,702,613,015,
178,662,928,786,989,384,967,959,285,794,623,788,631,359,277,229,272,977,074,
499,512,637,324,218,663,236,342,568,660,154,063,456,141,150,390,642,700,529,
207,319,256,217,552,627,066,090,540,093,368,283,982,462,671,866,206,557,979,
266,327,801,253,338,606,928,366,356,676,708,296,349,929,345,623,177,909,125,
792,001,967,380,221,918,821,824,216,966,378,997,636,992,693,039,510,923,957,
880,570,964,875,230,834,109,140,046,508,606,000,958,982,602,922,067,158,286,
459,560,635,365,521,284,620,896,183,826,974,729,567,017,763,999,295,389,409,
398,833,360,492,927,037,811,072,590,387,341,414,432,696,316,907,570,165,855,
253,274,310,777,212,045,950,595,855,080,589,586,617,721,922,903,229,068,081,
409,813,365,717,927,632,235,943,542,905,101,083,271,579,148,200,206,283,279,
589,568,767,168,510,811,279,103,456,843,508,057,435,310,415,604,617,592,713,
625,740,945,066,245,298,261,371,120,921,932,326,388,851,117,663,184,493,939,
832,331,632,354,149,736,160,295,721,669,992,840,934,228,061,573,969,105,026,
878,445,991,226,850,934,542,114,992,355,766,962,522,348,809,345,373,473,612,
494,078,100,661,545,103,410,387,733,879,130,534,541,678,463,186,058,507,978,
047,165,544,103,537,451,225,133,402,248,139,147,150,083,371,944,331,336,047,
857,936,957,891,287,360,830,547,850,170,689,750,635,777,147,533,429,358,036,
309,834,777,338,890,281,815,149,992,648,260,586,115,965,608,993,976,163,583,
073,525,915,807,814,097,415,588,211,101,418,759,260,258,420,656,702,313,034,
722,720,348,082,624,457,025,723,898,374,465,781,144,237,424,793,561,200,814,
516,992,164,235,517,674,362,546,954,855,842,496,745,614,882,437,389,456,906,
281,551,508,080,794,247,884,757,290,103,148,905,303,622,406,983,062,672,176,
471,260,938,733,411,570,489,813,414,524,158,793,584,550,958,307,615,818,884,
607,821,693,224,991,943,710,995,260,541,256,033,193,820,736,516,824,428,042,
442,958,193,276,906,896,538,031,687,118,453,212,390,307,681,924,464,134,262,
887,917,143,430,194,103,882,640,742,659,445,833,207,517,207,970,946,772,453,
687,965,656,426,081,916,590,457,312,500,150,681,293,468,958,750,297,535,638,
173,171,561,659,592,087,060,380,059,796,800,327,187,342,637,186,867,973,012,
001,338,495,616,317,293,249,613,882,519,392,284,451,087,122,448,149,323,404,
305,241,222,791,489,964,007,185,555,858,322,610,554,322,378,510,461,887,657,
174,672,740,320,166,883,940,624,243,581,664,219,678,867,029,803,133,935,345,
558,065,305,010,612,136,074,343,471,023,501,566,474,370,798,280,016,693,236,
720,993,911,349,190,377,156,867,756,815,646,289,669,260,703,465,524,632,499,
019,433,926,986,859,627,415,304,219,635,816,422,052,350,432,964,177,108,878,
820,808,410,966,771,621,633,984,865,390,767,360,207,360,434,135,621,691,718,
603,971,908,610,705,014,227,815,916,950,684,273,689,019,235,188,555,663,343,
020,945,433,800,233,435,213,184,463,819,545,509,287,394,270,327,802,335,703,
827,021,355,276,794,351,589,948,986,284,542,714,944,215,958,086,452,728,403,
079,692,520,707,058,582,347,358,597,205,648,538,754,499,997,699,476,044,271,
381,088,887,709,935,254,645,511,001,225,113,321,363,373,375,578,179,027,981,
953,900,915,913,270,434,370,703,706,105,686,069,989,460,673,240,286,779,689,
574,821,735,358,804,294,210,694,362,513,174,577,314,700,648,040,021,522,905,
231,939,912,260,380,993,337,673,142,786,916,940,764,261,051,603,467,270,828,
020,764,606,570,765,113,095,595,323,592,459,209,911,836,511,339,530,030,605,
394,851,087,004,992,151,822,628,978,350,497,168,762,019,952,466,714,263,076,
477,691,089,668,896,491,447,875,101,325,639,880,355,470,015,925,601,123,011,
087,193,273,765,838,673,103,066,607,730,682,267,305,929,725,960,246,088,463,
842,601,655,239,762,807,725,507,598,656,742,709,377,996,594,150,340,816,233,
878,719,026,000,360,129,323,807,579,022,560,138,831,203,558,007,112,510,605,
123,900,697,769,691,515,917,377,499,885,593,155,722,544,349,244,682,545,829,
292,473,407,414,911,939,332,396,604,640,292,829,927,556,940,493,946,954,937,
153,845,664,297,439,737,461,959,463,372,135,933,278,668,005,920,193,376,966,
688,923,826,732,058,157,238,243,574,082,601,054,143,600,326,269,412,426,759,
632,444,046,291,666,270,052,037,870,485,416,698,953,700,449,422,944,342,727,
939,325,632,940,682,531,081,373,930,699,615,017,847,057,979,896,621,735,629,
036,282,313,388,423,427,755,054,231,009,929,693,856,723,997,778,440,073,002,
427,876,713,766,174,079,885,347,009,328,098,929,099,763,440,684,686,370,969,
315,650,371,180,471,299,304,779,863,001,450,151,051,906,895,743,298,869,285,
807,042,771,528,935,404,993,348,698,610,424,676,305,159,700,600,299,762,819,
574,063,363,768,096,605,206,682,672,620,711,092,878,078,376,061,042,805,708,
797,738,261,789,456,040,801,997,678,263,243,926,886,796,544,746,546,954,126,
539,700,987,573,132,033,847,033,752,410,453,600,624,358,504,530,098,099,013,
403,399,234,186,575,306,972,320,846,537,993,624,709,718,267,835,742,675,773,
387,896,686,772,037,944,384,188,799,339,820,470,325,314,895,674,311,615,321,
968,481,600,086,320,813,132,121,064,680,002,235,821,401,535,187,187,699,391,
438,177,469,465,463,455,765,847,516,575,416,748,012,599,091,686,761,169,388,
086,123,257,588,583,797,218,783,975,706,492,261,051,730,098,445,785,494,565,
543,160,690,434,935,262,954,206,605,872,184,167,327,194,618,733,954,560,270,
853,195,159,463,696,363,229,528,363,871,012,422,484,642,275,688,008,717,971,
745,597,945,586,859,254,927,706,647,205,100,932,961,083,338,357,417,478,869,
010,038,733,087,501,098,548,045,154,746,572,112,563,994,507,656,247,943,041,
186,009,098,872,459,291,648,453,705,404,995,543,660,992,799,354,274,756,819,
972,637,071,034,390,539,428,415,185,255,932,522,734,803,765,638,788,003,278,
084,246,088,850,242,320,575,749,636,510,495,436,508,225,709,076,026,878,088,
402,602,640,504,231,487,761,528,644,354,344,987,628,422,219,079,200,620,210,
202,514,953,665,725,613,135,419,590,767,041,517,344,993,560,051,343,975,532,
056,699,957,625,916,565,752,123,906,913,534,429,574,170,917,677,781,481,306,
705,733,637,680,889,874,243,420,958,008,882,292,991,099,238,328,086,431,082,
982,655,823,561,832,182,878,136,296,212,727,935,993,350,644,066,843,344,116,
284,621,559,196,868,724,293,191,228,989,553,907,056,429,822,376,937,751,271,
277,062,132,540,071,069,654,606,093,135,996,623,060,765,011,418,324,997,601,
743,251,115,060,718,915,668,879,657,147,740,597,592,474,528,762,674,403,159,
618,259,930,717,049,369,911,026,081,844,733,792,257,372,092,918,761,150,922,
787,835,441,037,400,320,233,084,366,041,911,401,236,090,556,454,361,302,191,
183,167,985,822,044,637,260,636,922,815,930,994,462,955,346,252,860,953,551,
850,886,935,637,563,617,234,281,925,396,315,661,370,126,085,017,593,111,084,
058,681,790,492,313,003,527,179,033,907,030,665,551,095,656,908,458,625,461,
523,874,215,538,864,626,627,860,437,511,127,856,084,728,112,016,507,034,646,
176,866,315,148,559,803,985,203,618,016,027,515,545,116,379,359,842,979,761,
930,513,566,441,795,459,842,245,375,514,557,752,069,544,802,675,949,657,767,
605,092,477,321,314,551,062,506,726,224,118,202,152,852,808,055,543,367,718,
054,415,970,985,771,431,142,049,343,415,763,630,091,503,334,669,255,722,649,
923,413,863,135,906,754,056,351,904,965,615,852,148,822,519,304,824,807,990,
371,936,727,914,267,198,159,829,391,212,233,747,947,745,170,720,726,465,621,
919,596,409,840,001,234,794,093,020,410,606,662,530,014,297,219,089,118,701,
407,242,192,601,367,617,841,219,767,694,411,773,646,605,438,062,243,084,903,
957,531,684,316,825,319,727,274,941,864,763,473,134,147,134,673,665,206,239,
296,284,660,922,388,704,348,094,875,645,525,840,192,853,865,512,495,361,068,
413,996,687,418,273,492,735,550,245,658,403,610,243,401,524,922,638,728,316,
726,002,908,232,810,093,195,046,340,965,135,231,590,436,804,959,917,469,205,
813,729,609,244,080,451,927,522,023,153,793,146,357,654,889,996,492,660,670,
736,922,870,883,259,528,197,684,596,102,789,682,988,824,456,663,364,009,730,
445,821,238,559,680,518,324,633,536,312,651,430,416,463,740,759,980,531,277,
156,323,097,152,434,386,002,859,956,446,645,169,801,480,266,236,873,106,087,
370,498,504,410,779,585,642,126,757,172,914,480,135,340,174,087,676,216,165,
767,911,521,034,457,284,453,333,978,544,094,692,637,129,846,334,000,030,767,
522,007,963,829,827,697,469,998,965,492,019,024,043,404,983,933,077,844,400,
463,639,822,419,113,253,124,274,319,454,759,564,356,552,072,105,876,047,470,
479,578,154,040,035,222,242,314,094,450,369,083,373,335,139,173,363,757,000,
518,470,305,470,947,791,533,724,315,538,067,980,292,424,379,668,288,360,753,
277,483,675,440,181,330,165,003,813,390,101,542,883,463,289,417,567,175,538,
334,995,129,825,367,487,668,876,792,295,182,596,958,332,440,821,875,906,148,
460,389,572,744,389,373,727,837,306,132,491,524,368,843,879,095,933,801,962,
556,457,571,324,361,762,943,147,948,776,906,085,788,189,458,052,409,217,279,
709,790,905,085,556,768,584,514,190,611,967,784,392,644,263,219,558,029,495,
444,616,471,141,304,457,997,042,221,333,627,376,738,310,419,813,262,044,318,
526,911,662,030,062,187,752,511,816,726,823,566,818,833,480,307,874,557,709,
161,186,356,254,392,180,308,359,631,067,360,111,709,900,068,689,721,721,211,
793,121,685,408,006,405,391,422,369,587,455,460,433,909,024,610,477,222,279,
146,333,290,859,986,676,435,347,473,313,513,521,989,042,353,798,566,976,257,
319,281,715,621,290,581,589,095,108,359,202,493,261,599,650,124,441,281,126,
942,103,005,476,658,880,330,439,364,214,739,502,427,176,441,295,808,752,398,
884,257,920,788,258,999,683,427,558,337,047,420,795,011,515,397,033,600,981,
122,789,585,256,882,272,249,172,399,048,620,178,406,557,531,463,647,731,012,
681,841,681,220,812,138,409,526,307,262,005,760,362,921,709,096,275,938,690,
747,393,624,987,602,974,489,633,428,325,900,966,260,604,093,666,508,508,305,
700,305,097,553,276,627,220,362,683,956,756,355,311,871,003,539,212,577,394,
011,548,163,820,658,089,716,593,514,879,808,494,186,608,483,509,544,109,800,
275,341,455,084,608,035,593,673,680,090,714,399,137,329,148,464,223,735,426,
623,229,102,167,435,523,675,859,884,487,215,513,952,269,220,082,236,104,769,
520,865,992,672,262,036,475,202,020,345,274,975,097,252,793,159,143,461,184,
930,461,257,691,351,429,765,867,707,551,117,324,942,737,711,632,171,931,663,
325,361,130,030,680,325,086,156,138,125,382,154,427,783,586,337,222,716,125,
232,372,884,037,326,072,585,900,505,301,983,843,835,925,217,520,411,225,188,
585,115,359,723,381,672,375,974,588,273,441,066,745,417,320,034,251,958,143,
236,752,562,903,635,466,241,255,923,107,239,130,285,969,582,017,801,385,204,
442,612,342,791,052,643,771,005,257,330,699,086,083,143,187,610,214,227,755,
208,594,889,925,607,670,596,021,650,533,265,371,349,569,200,691,588,627,921,
482,592,370,115,029,362,297,365,055,735,015,614,523,901,804,418,149,070,955,
779,241,917,226,066,602,616,557,925,951,785,328,125,788,734,296,759,603,759,
523,617,752,234,669,429,731,460,326,326,284,318,618,418,234,232,480,693,399,
910,087,186,565,724,431,166,234,977,371,946,912,743,751,909,791,194,648,203,
793,041,670,369,593,528,009,784,112,878,888,447,086,329,075,422,506,953,509,
605,964,230,782,700,009,776,539,580,014,202,929,197,775,480,675,282,584,716,
218,809,001,179,115,038,147,732,417,170,431,655,348,603,676,490,831,753,344,
819,529,214,375,764,873,205,602,927,642,279,162,525,423,277,254,973,227,586,
357,404,295,053,915,586,448,889,899,657,458,184,334,511,405,794,191,537,078,
421,244,860,431,101,624,078,272,716,222,069,347,500,717,274,355,031,440,447,
749,851,710,276,090,635,890,079,137,018,008,422,492,291,032,355,643,721,077,
514,388,862,326,384,232,541,078,491,704,667,923,921,606,019,094,592,052,722,
690,040,452,842,626,935,334,331,503,688,235,064,605,284,848,835,204,630,071,
395,679,774,241,706,237,272,047,926,980,045,259,547,355,219,423,707,284,997,
937,136,514,598,802,116,610,093,886,957,945,415,858,512,457,485,029,312,674,
907,869,138,815,879,748,439,514,943,226,059,546,132,126,820,344,092,591,476,
985,506,093,141,651,895,295,477,819,145,990,033,972,952,117,432,323,596,087,
405,532,980,616,180,371,483,690,976,843,361,896,188,945,304,286,333,211,407,
477,896,566,591,105,236,531,477,208,061,547,757,984,312,063,084,362,676,279,
593,685,258,396,128,519,087,411,447,296,165,786,867,395,425,978,377,812,652,
638,440,525,251,773,367,729,720,871,873,529,898,211,102,647,874,066,510,631,
101,208,578,072,386,077,861,727,330,621,175,425,799,712,128,768,584,494,698,
521,968,555,410,146,236,861,280,285,805,121,088,141,026,498,950,382,267,104,
255,544,954,470,144,451,936,276,430,294,366,676,304,984,653,883,864,879,647,
604,748,683,333,178,858,739,497,014,259,074,006,127,086,115,810,836,809,725,
989,274,649,021,688,243,110,436,860,384,811,686,847,333,118,916,402,689,237,
590,289,229,303,165,219,955,222,615,462,667,349,998,950,841,831,121,751,509,
946,688,355,429,567,518,241,404,485,441,362,345,458,000,591,799,769,562,801,
887,657,628,172,008,632,608,703,546,498,526,074,060,525,272,819,408,257,736,
746,459,591,806,634,502,951,843,040,320,048,978,930,837,076,955,229,145,839,
990,403,583,629,000,222,578,866,451,902,033,551,641,675,294,646,777,332,118,
185,286,496,064,230,759,114,569,926,751,363,111,586,740,644,731,706,482,085,
317,595,451,058,677,426,999,881,100,119,404,681,552,960,867,878,150,630,175,
342,993,175,029,159,120,962,886,529,507,427,981,605,077,858,017,712,269,175,
983,575,364,069,088,587,660,995,242,350,883,895,858,252,145,233,173,641,026,
109,999,394,604,857,947,634,359,785,191,216,744,191,477,274,985,136,684,149,
436,285,004,943,763,380,118,063,641,770,557,450,474,786,328,606,668,050,336,
685,411,192,107,090,760,154,469,241,071,625,853,168,858,447,215,510,991,047,
409,845,172,250,989,538,246,463,672,858,552,839,682,806,239,893,625,483,446,
845,294,888,056,945,197,812,590,147,928,966,596,964,902,749,400,890,924,151,
103,178,798,868,859,181,025,418,149,457,126,506,735,176,654,852,133,730,980,
414,850,170,253,571,282,764,745,741,562,236,144,336,037,158,832,758,701,483,
410,204,340,785,946,387,870,574,215,932,278,859,045,164,927,549,946,800,107,
274,697,240,744,407,796,494,362,064,738,872,480,084,604,588,712,640,664,598,
130,964,849,063,426,085,089,607,513,141,564,436,148,124,984,281,011,201,622,
941,874,251,805,900,334,230,158,159,474,898,704,119,741,795,219,662,476,390,
128,001,097,504,577,092,124,379,247,114,657,481,360,028,890,822,014,526,383,
351,766,699,198,016,878,955,366,831,356,301,677,010,509,102,168,404,684,682,
714,344,125,960,426,668,498,781,689,854,922,397,114,854,985,311,529,634,109,
623,272,586,415,966,581,813,336,861,368,368,867,223,069,773,573,142,173,121,
658,799,235,064,669,378,070,889,062,618,770,289,389,007,975,882,750,967,878,
267,817,331,190,182,235,028,139,194,136,684,071,099,041,259,406,733,068,193,
715,906,927,772,332,411,523,724,524,648,613,912,613,599,120,287,986,468,210,
186,253,009,123,299,158,798,020,283,514,408,273,044,644,969,675,007,937,140,
260,798,539,476,556,258,402,639,562,443,596,452,793,859,640,838,197,347,291,
503,409,820,749,236,070,245,078,739,671,318,396,429,007,955,658,537,518,222,
363,143,685,574,936,475,688,439,121,109,735,531,528,804,400,658,641,045,078,
845,595,248,998,935,032,591,518,131,131,612,521,207,493,613,290,113,992,973,
632,588,891,596,459,319,259,954,900,039,413,788,303,185,872,389,673,205,715,
016,551,128,045,236,012,787,137,278,377,095,939,076,405,787,144,713,722,061,
857,166,657,391,264,340,560,697,428,637,351,608,623,759,219,628,448,872,613,
654,410,713,005,296,282,191,980,561,605,587,919,120,069,273,334,388,541,572,
364,090,953,575,914,988,014,352,237,998,405,223,406,633,570,709,047,150,142,
139,517,904,295,725,149,759,703,759,268,991,203,412,634,756,032,296,438,477,
315,733,715,131,292,227,474,295,341,981,745,230,601,492,115,132,187,240,411,
595,434,394,179,958,499,201,795,833,397,687,181,037,636,804,324,238,261,087,
328,411,120,084,664,288,376,972,606,556,898,537,905,135,314,554,109,549,394,
920,290,129,855,243,614,089,350,391,600,869,861,699,353,019,295,485,891,503,
996,116,576,548,355,420,693,756,169,921,459,730,825,830,893,170,514,320,544,
837,876,824,842,817,577,805,100,169,498,709,731,741,659,130,809,005,750,968,
149,202,962,381,442,725,884,542,528,912,045,193,549,584,292,032,338,164,835,
931,701,141,731,375,415,525,988,169,162,233,018,670,657,914,725,246,086,219,
864,472,268,052,970,932,234,380,393,674,626,864,311,543,520,966,832,429,752,
793,960,106,058,430,664,211,820,008,233,445,919,996,079,517,346,449,258,712,
127,843,481,180,093,781,899,860,344,799,332,905,735,525,472,810,400,952,921,
649,142,674,093,909,369,128,491,275,888,457,866,596,924,382,519,587,340,976,
187,366,745,144,288,611,386,705,921,291,785,971,272,074,415,973,381,756,114,
541,772,170,918,706,479,850,908,588,872,412,452,419,758,442,985,366,417,109,
413,010,647,983,156,220,937,195,205,509,016,771,213,609,911,003,644,982,625,
036,017,021,871,076,949,082,777,233,016,715,796,797,256,705,556,936,230,614,
922,415,170,408,171,553,387,541,555,177,672,693,008,544,326,599,883,627,971,
103,367,407,333,174,138,523,425,781,780,705,461,187,703,453,862,342,951,893,
364,891,990,791,438,765,565,932,549,052,613,165,351,398,100,307,237,045,390,
906,583,234,495,774,334,228,032,178,295,155,708,054,109,147,171,546,119,869,
615,656,491,865,853,968,399,498,668,222,944,482,810,667,388,704,899,058,899,
212,773,158,857,517,546,612,939,218,298,898,427,532,372,958,103,657,608,555,
549,626,784,117,360,012,889,120,713,524,468,535,425,718,386,589,561,764,899,
816,765,740,475,498,524,189,697,332,002,803,734,015,061,226,520,480,993,335,
491,459,201,180,046,136,888,083,291,119,574,861,322,339,752,570,186,357,657,
078,838,078,659,826,427,531,054,031,561,746,904,550,013,889,992,348,391,268,
634,386,088,125,517,125,440,573,354,667,924,353,653,839,927,223,160,976,660,
674,810,185,481,635,614,539,128,322,070,704,196,560,473,427,354,628,314,302,
216,858,112,188,563,283,153,347,761,590,213,749,059,957,793,694,291,161,347,
668,643,989,711,487,376,541,409,989,359,834,654,876,481,287,088,585,930,440,
173,805,133,078,638,048,716,483,462,275,379,779,736,344,000,685,677,297,915,
786,086,167,466,336,122,922,209,909,106,897,808,706,088,497,898,914,992,724,
992,834,416,454,559,535,199,543,915,004,784,159,529,580,054,782,800,403,178,
695,036,792,210,313,600,556,368,982,418,200,981,181,009,996,283,834,671,072,
907,747,633,446,720,588,534,544,692,195,498,358,657,643,676,517,221,037,484,
670,342,488,832,201,610,084,166,641,529,710,800,928,941,672,748,340,252,728,
088,588,585,653,294,791,638,601,479,311,508,065,160,768,399,847,565,715,138,
011,420,991,968,895,344,329,951,014,225,996,804,759,702,711,202,401,400,194,
375,557,953,353,340,277,121,144,801,717,573,691,301,990,782,009,872,566,053,
108,885,359,912,781,480,684,812,963,608,675,548,172,838,945,123,133,029,716,
422,859,983,567,821,893,423,860,240,312,330,508,586,033,958,661,871,266,706,
242,278,568,517,478,939,879,178,814,995,007,951,025,531,241,093,997,840,960,
197,885,096,133,904,432,084,802,721,938,819,310,525,162,351,419,026,350,858,
262,665,744,663,541,340,385,849,637,698,664,825,527,657,669,660,330,615,320,
763,845,527,277,217,144,292,908,912,044,175,923,661,082,335,186,616,053,258,
064,199,998,843,373,305,726,537,064,418,573,787,461,419,449,517,186,877,294,
583,194,046,633,788,308,614,954,919,700,636,646,557,486,746,433,146,471,593,
423,523,119,930,677,620,028,789,152,585,047,387,271,754,520,980,519,022,758,
300,669,109,459,257,064,057,556,348,694,708,603,093,306,301,935,368,028,794,
711,979,163,068,109,526,066,002,478,424,935,096,666,831,182,243,732,795,098,
023,715,478,326,652,222,268,491,049,483,432,719,732,522,060,940,994,925,451,
138,009,102,824,656,288,431,607,089,858,713,124,557,184,650,145,834,491,375,
380,385,274,297,012,245,913,274,650,780,376,929,633,270,995,988,963,267,913,
085,590,113,529,067,179,389,910,725,860,913,022,078,360,318,999,606,730,910,
047,335,742,922,712,410,280,194,219,757,141,278,456,882,743,825,421,995,426,
404,504,168,752,512,022,750,141,707,240,964,111,517,010,717,039,352,443,365,
276,521,843,824,722,916,140,705,036,432,490,958,335,193,134,099,737,114,251,
618,624,550,252,780,305,407,582,790,810,594,111,175,068,027,671,604,729,532,
373,638,367,711,888,398,927,226,917,127,786,527,209,797,622,430,144,619,929,
910,912,947,186,641,388,680,661,790,580,261,383,671,383,583,483,567,919,050,
217,807,746,227,836,542,608,621,268,132,820,421,538,225,364,429,423,473,162,
674,536,618,596,893,482,071,072,092,042,419,171,717,173,515,193,436,733,841,
015,393,449,666,057,755,216,067,639,895,440,631,919,850,658,188,331,941,582,
968,202,103,168,277,726,456,787,946,694,667,328,795,578,789,522,353,046,122,
595,622,222,697,937,042,383,318,838,807,500,094,036,722,615,760,077,136,957,
516,731,281,549,215,731,717,634,400,991,004,409,463,146,705,648,218,503,987,
409,063,573,015,938,019,811,312,458,931,145,256,988,217,603,881,736,844,050,
451,984,071,723,195,408,138,524,377,030,922,271,538,168,212,604,647,532,009,
924,318,732,464,517,555,713,326,698,203,833,594,918,870,115,419,289,535,937,
195,025,896,252,256,482,427,547,184,314,090,406,083,786,445,151,246,158,534,
889,674,809,821,750,024,174,697,063,382,321,594,733,271,458,599,747,806,188,
936,878,437,771,539,696,170,856,372,425,294,702,440,429,939,380,630,940,140,
611,021,122,333,582,256,203,878,594,084,876,245,493,868,990,430,295,603,106,
296,842,697,301,467,613,891,809,336,064,278,015,790,594,879,732,182,294,416,
504,636,097,496,022,450,027,785,147,643,936,563,207,652,736,509,491,020,350,
653,537,940,872,802,795,853,938,113,231,643,225,535,652,162,402,167,503,268,
686,096,058,159,880,684,126,133,399,258,100,912,069,881,099,656,116,843,321,
187,875,639,281,291,096,366,530,382,762,538,533,255,789,287,256,181,817,950,
848,652,838,139,325,195,130,648,628,585,888,606,745,532,873,296,788,317,242,
357,070,686,712,956,133,546,822,695,954,610,400,703,622,174,534,089,372,300,
200,253,805,415,623,458,529,781,760,456,085,963,891,521,788,401,506,082,196,
604,375,756,403,010,185,893,347,555,025,096,233,627,309,413,523,792,546,276,
234,327,184,701,390,085,829,791,518,852,689,739,133,043,624,130,077,214,505,
380,907,284,892,400,995,761,702,533,076,620,404,117,539,901,738,636,341,337,
927,320,661,452,125,976,067,234,738,557,311,960,406,795,955,971,343,501,487,
999,985,619,945,588,827,922,704,760,352,266,755,901,605,846,753,278,382,668,
869,742,213,719,278,095,179,209,513,994,298,994,143,245,328,482,841,349,837,
476,284,075,079,633,909,357,870,431,872,973,304,206,971,307,098,959,921,311,
609,489,910,634,771,748,508,554,843,630,279,824,454,567,988,384,650,101,883,
863,392,190,326,099,483,695,470,732,301,363,026,371,194,521,439,514,829,111,
141,172,634,357,575,263,506,081,547,457,956,985,303,934,975,173,271,706,756,
027,735,580,170,084,888,822,900,889,899,946,243,406,043,548,957,984,066,025,
451,881,317,426,192,385,144,612,876,193,834,808,964,165,572,242,562,717,237,
773,764,612,522,941,632,913,580,389,799,689,763,814,298,438,469,694,979,755,
007,573,742,108,125,380,688,597,778,546,396,594,950,393,817,166,568,964,983,
790,972,770,142,289,796,985,885,453,366,770,476,450,433,181,602,622,132,837,
520,078,717,871,234,267,580,744,015,224,476,406,913,276,242,701,303,755,205,
835,786,708,919,901,698,904,676,174,774,237,399,577,558,692,808,392,461,926,
401,306,027,863,835,573,756,704,025,796,869,964,504,878,854,925,728,564,922,
296,005,608,682,716,597,191,842,955,070,358,896,434,620,149,858,810,758,732,
718,165,873,110,164,434,973,263,757,383,795,122,273,815,423,588,937,657,486,
592,871,357,191,443,808,171,714,106,040,793,446,239,151,162,580,740,964,622,
806,745,919,697,385,154,832,743,335,934,024,843,737,089,253,509,528,185,456,
113,832,687,147,449,566,482,775,825,392,076,941,918,859,604,246,210,506,277,
622,902,814,204,829,870,109,050,818,222,695,380,145,038,220,401,488,676,347,
686,044,719,219,126,977,780,205,445,420,871,360,859,049,598,134,394,220,674,
895,222,753,855,575,862,563,119,112,558,252,099,427,488,082,234,359,995,575,
167,918,618,882,945,065,745,583,991,810,354,709,790,497,034,751,814,200,957,
476,512,691,375,090,639,364,884,170,143,252,676,676,622,597,902,283,846,288,
170,091,311,479,370,063,474,772,886,925,240,347,784,950,995,958,613,263,849,
890,040,678,500,162,331,219,496,606,176,131,469,823,720,859,623,057,542,993,
743,289,712,143,952,174,213,503,874,570,489,673,339,467,424,173,368,433,705,
319,662,995,304,730,964,113,084,811,643,328,972,003,394,478,260,069,307,490,
386,774,280,078,184,675,981,886,815,303,226,885,381,516,080,675,906,567,173,
851,644,256,401,473,860,979,810,865,345,307,990,674,248,390,397,048,993,783,
030,858,368,484,426,980,477,917,297,910,293,665,924,584,529,152,269,984,088,
671,286,359,274,980,841,577,529,610,095,288,034,253,804,613,389,849,440,135,
741,814,132,892,182,802,537,231,871,722,316,015,473,472,323,976,079,438,287,
272,264,479,170,065,425,025,389,714,835,878,515,030,793,417,891,120,778,539,
400,709,986,067,571,564,818,196,907,662,251,197,284,524,625,825,303,454,178,
815,010,594,983,800,793,043,131,248,959,305,246,868,811,822,557,739,198,048,
030,027,687,655,177,745,885,128,339,304,198,214,326,206,662,169,209,251,318,
768,872,474,525,384,032,010,303,208,058,831,426,073,359,130,748,278,711,104,
569,249,459,485,623,326,614,222,655,085,095,531,513,787,288,107,155,215,766,
422,027,321,901,986,745,783,677,305,549,103,122,290,810,096,809,826,889,891,
318,379,777,510,038,316,989,674,154,761,188,267,626,659,930,127,318,245,716,
283,743,035,730,235,516,562,831,551,871,730,139,343,240,546,517,035,704,431,
786,334,205,065,315,448,625,698,832,996,337,767,870,537,693,415,061,725,226,
914,624,566,368,248,155,036,595,305,672,969,279,212,781,164,891,521,080,713,
883,303,232,493,422,561,194,290,943,945,424,439,728,319,610,126,575,421,884,
950,202,164,625,671,854,971,624,744,552,899,976,101,880,938,434,065,129,512,
103,309,412,089,212,646,137,150,853,773,451,172,492,446,955,218,785,511,498,
925,987,967,012,278,598,904,114,205,160,790,112,965,115,246,826,594,411,597,
609,505,875,666,206,445,412,070,279,428,307,134,430,396,812,863,021,614,086,
831,430,372,188,456,659,730,147,589,543,123,937,345,969,007,813,587,458,275,
323,438,751,014,791,895,025,212,607,263,737,499,701,620,774,159,731,667,343,
637,776,396,907,733,409,716,197,201,416,457,739,999,426,131,570,811,170,246,
275,260,991,099,467,738,176,540,153,088,914,806,059,919,596,820,316,699,406,
035,705,784,423,671,175,082,049,561,884,763,943,662,307,728,057,169,474,544,
165,863,545,438,211,146,594,348,540,980,963,497,469,606,640,567,079,638,175,
244,881,278,632,971,489,969,977,066,499,533,611,021,770,202,614,171,415,353,
545,683,958,597,091,929,818,875,528,233,508,397,624,051,171,046,612,874,334,
801,965,782,409,514,238,608,368,052,993,924,801,118,606,504,667,828,970,152,
799,289,783,248,679,380,738,956,704,542,590,066,779,224,755,137,728,002,270,
586,676,825,571,230,237,882,861,023,348,044,844,476,371,360,222,622,076,105,
366,681,274,943,816,452,313,830,952,681,172,858,982,434,874,661,189,235,887,
077,451,307,236,851,841,539,136,322,542,597,755,722,034,721,155,512,059,621,
394,728,340,349,936,489,431,893,636,121,833,889,515,271,126,364,673,515,931,
628,311,083,109,076,645,587,750,376,148,617,452,175,644,244,861,285,361,878,
249,520,232,697,280,472,011,631,089,278,004,242,319,965,748,542,968,441,245,
652,676,278,590,742,403,227,032,114,295,320,149,331,709,128,701,998,596,174,
282,444,567,890,373,548,506,536,387,267,678,408,747,781,797,054,407,212,768,
721,324,588,230,650,075,126,624,431,820,946,419,498,921,050,522,120,517,181,
082,279,850,686,754,775,830,428,344,874,290,105,842,474,336,060,545,903,046,
442,603,316,283,085,205,388,028,990,265,854,400,843,249,046,310,098,210,112,
690,781,766,897,103,364,107,150,766,233,167,050,073,314,324,599,773,487,511,
513,544,899,066,167,206,361,963,878,128,692,535,975,849,445,306,224,493,100,
749,496,172,257,397,257,233,816,385,125,911,649,632,981,765,411,772,222,184,
322,112,576,039,162,528,110,171,127,827,106,234,143,172,286,144,047,376,467,
898,411,177,525,550,416,846,878,021,131,952,922,453,212,335,299,260,370,822,
751,358,705,938,762,263,533,733,359,387,134,364,531,567,228,093,007,880,834,
066,262,701,816,911,967,632,602,569,157,710,613,136,026,749,430,715,458,294,
101,817,445,650,517,711,555,489,970,691,973,069,340,647,547,088,452,776,204,
711,961,413,089,734,580,703,536,686,048,330,820,680,073,220,510,515,123,150,
232,080,721,139,626,650,623,264,609,026,338,839,510,832,207,859,661,379,132,
904,592,126,678,979,261,521,749,477,225,216,062,460,641,847,763,144,460,919,
210,571,286,174,527,869,398,122,112,415,717,049,783,986,552,530,813,644,729,
941,683,285,405,582,455,661,419,145,801,143,841,039,211,373,855,427,303,777,
374,866,328,063,299,219,260,123,619,216,614,461,671,478,045,019,466,333,009,
785,779,204,947,757,817,973,313,776,519,138,093,058,301,933,389,450,160,333,
020,209,713,132,361,301,230,628,752,114,208,659,508,251,706,538,143,580,112,
435,624,148,246,363,076,359,679,565,458,183,303,965,022,163,808,719,278,997,
948,115,469,127,061,423,036,690,540,939,129,260,858,896,887,306,815,215,990,
793,185,180,436,066,364,416,464,260,924,123,426,010,965,023,301,522,058,677,
324,475,955,082,165,017,165,820,906,226,185,429,361,550,072,120,106,657,094,
258,483,622,072,492,130,750,617,518,833,378,318,757,659,830,800,292,759,292,
441,496,499,985,805,719,565,450,441,605,302,739,176,066,672,375,411,360,768,
955,390,156,521,655,670,968,052,538,313,165,441,476,045,115,493,480,867,201,
030,589,049,175,914,740,247,307,396,342,218,305,455,772,569,821,955,550,731,
112,148,626,396,689,491,739,891,141,939,967,081,820,873,452,326,330,396,275,
385,059,746,671,222,383,104,187,391,609,493,434,865,131,432,467,534,487,027,
657,816,701,112,721,550,312,722,206,995,247,266,916,818,573,630,856,025,645,
559,925,976,132,302,432,621,959,401,844,253,223,577,171,152,878,191,115,641,
714,989,593,185,012,447,918,494,601,345,904,743,831,803,510,038,952,069,892,
139,736,336,478,304,346,815,361,055,570,520,942,480,736,752,330,583,884,084,
682,266,208,452,454,740,242,263,900,921,953,668,214,085,977,874,826,184,404,
186,304,261,952,713,541,366,286,070,460,799,159,927,395,038,716,125,443,149,
521,080,117,394,696,651,016,931,097,966,507,497,866,979,298,002,141,022,986,
782,660,034,860,510,203,179,830,122,356,542,962,923,337,964,223,719,973,355,
623,793,772,094,975,925,125,170,081,140,950,755,825,216,576,939,229,272,934,
396,357,880,275,934,701,930,611,915,061,066,995,523,791,649,696,391,174,365,
517,249,848,660,349,281,340,453,199,118,794,833,155,138,252,303,265,148,550,
497,038,206,620,359,805,327,792,092,086,489,937,574,047,150,752,017,431,764,
860,704,087,779,945,976,157,260,502,959,749,778,114,739,956,403,970,907,507,
499,076,668,862,671,521,030,430,901,258,475,785,949,139,527,259,551,832,155,
436,727,001,454,717,852,121,894,790,862,204,667,846,212,339,849,856,441,263,
451,041,255,560,245,113,750,870,907,839,197,931,746,016,424,436,850,011,102,
669,654,316,572,533,574,273,041,537,160,540,721,486,727,378,608,642,441,188,
155,151,971,286,528,048,923,459,178,431,251,911,257,377,068,005,067,272,059,
995,064,684,522,113,742,251,041,718,046,665,111,652,461,037,250,371,501,106,
519,522,331,265,503,125,604,838,307,259,113,700,229,028,319,382,617,405,836,
576,663,294,379,226,809,963,189,390,188,730,695,626,050,447,562,112,405,526,
598,778,105,409,600,681,009,638,116,993,185,326,321,715,619,662,501,589,699,
037,709,239,348,050,905,038,141,720,066,621,783,155,902,349,583,327,652,055,
186,349,792,322,551,884,064,077,175,307,015,995,294,218,802,294,643,260,016,
447,448,622,674,344,751,539,236,668,864,375,636,388,263,456,632,882,867,885,
861,521,639,188,972,916,559,586,857,692,271,161,702,318,805,880,626,102,166,
454,508,608,642,263,717,975,308,622,978,570,175,797,502,390,287,082,431,536,
855,487,278,161,720,145,495,608,906,072,658,635,205,168,722,482,097,714,537,
613,248,973,924,941,348,585,189,458,749,271,156,908,792,292,564,712,516,419,
904,355,915,321,725,932,152,641,320,804,755,086,348,047,515,943,237,500,852,
334,702,554,407,491,078,434,845,573,155,919,660,686,071,370,199,038,607,091,
236,278,440,278,378,135,017,185,246,801,267,552,705,464,742,121,904,471,064,
840,451,300,485,004,912,929,354,481,912,207,574,533,150,064,827,292,554,984,
180,003,702,801,500,761,249,356,165,006,890,791,311,208,848,306,762,564,029,
235,208,940,670,177,116,350,249,784,331,857,381,572,598,402,035,834,961,487,
390,477,572,878,884,563,132,692,185,354,148,548,809,945,039,379,538,935,112,
318,325,330,205,871,762,287,773,171,542,975,670,682,782,490,838,502,063,076,
443,722,710,552,266,751,641,124,661,758,677,891,263,450,971,076,735,265,622,
765,086,580,946,492,964,560,971,740,854,885,652,300,506,358,469,733,185,970,
297,932,964,332,206,082,504,619,356,542,110,050,758,270,005,838,387,433,428,
597,751,762,720,827,278,308,262,097,870,618,480,724,087,358,713,473,246,004,
509,776,412,511,106,535,179,644,977,670,263,025,466,101,966,986,948,558,413,
024,135,608,480,557,265,474,593,134,886,085,082,925,368,178,711,884,514,413,
730,885,250,000,492,299,349,149,022,155,395,347,085,483,196,075,120,703,342,
973,641,738,275,863,141,204,011,612,806,432,578,562,119,506,273,955,506,544,
208,292,007,173,223,228,555,951,194,023,151,595,203,538,508,727,350,454,133,
336,377,706,289,472,798,606,906,054,085,653,173,576,968,858,052,635,673,242,
105,455,600,459,766,284,251,652,373,855,317,631,647,212,642,207,423,809,703,
214,460,358,033,803,343,146,760,363,763,977,427,283,485,259,948,117,051,900,
386,526,715,544,576,679,166,694,064,132,245,426,084,987,013,414,216,157,058,
316,218,766,943,069,736,464,205,036,748,808,272,926,493,274,457,125,220,426,
443,846,574,727,889,099,318,210,629,634,293,124,824,501,751,956,701,717,056,
192,978,812,000,217,383,791,948,169,043,750,298,015,407,637,126,785,946,689,
173,567,947,866,212,285,685,991,311,034,841,589,470,866,643,565,176,468,762,
474,347,693,637,188,980,547,349,330,035,653,100,468,071,293,193,815,378,755,
057,847,570,973,668,553,420,501,331,324,443,967,308,895,596,987,237,359,752,
612,870,334,874,771,611,278,020,581,401,268,231,268,458,402,359,960,169,423,
750,726,073,906,880,014,243,178,637,411,131,658,653,335,474,152,557,908,309,
004,262,197,869,325,212,269,751,274,308,231,728,822,396,243,516,416,380,538,
813,551,816,045,412,308,219,732,347,309,142,604,538,442,462,408,824,183,111,
236,164,030,079,607,043,680,566,236,443,824,164,305,378,652,258,292,557,031,
724,935,170,411,979,269,446,048,611,542,004,598,897,923,517,206,308,794,300,
370,215,249,134,013,188,790,623,642,186,116,074,385,630,077,173,877,060,719,
411,564,997,484,703,091,432,008,951,123,971,662,785,960,578,189,164,087,089,
938,840,716,679,311,848,447,987,091,368,098,331,537,136,367,821,410,542,008,
903,319,541,187,275,437,633,369,591,019,719,974,712,284,208,678,815,957,024,
692,144,365,258,474,758,680,212,455,381,637,243,355,331,163,425,232,431,189,
843,269,688,026,288,168,383,715,424,540,601,603,976,809,463,674,430,388,840,
463,323,980,444,247,936,896,240,292,457,779,079,370,438,798,452,222,658,267,
971,740,658,180,652,775,287,555,614,255,581,946,014,779,405,257,139,247,103,
593,856,338,628,399,768,479,440,040,147,032,319,570,064,457,943,444,780,441,
042,650,930,037,300,601,404,774,335,178,753,397,861,604,615,667,705,500,997,
137,929,199,116,147,059,648,892,895,928,704,638,376,711,329,501,857,760,491,
467,699,731,856,086,550,457,936,176,546,765,612,137,725,394,777,811,328,997,
788,371,220,059,327,922,512,095,828,034,419,356,758,778,047,048,283,277,949,
508,147,359,170,086,697,278,864,173,800,503,418,756,246,753,934,837,824,268,
652,319,306,469,329,667,884,177,937,307,142,849,367,580,349,991,605,759,258,
888,765,130,454,586,669,590,891,978,786,756,482,022,108,505,495,871,446,444,
372,697,013,258,108,483,573,780,314,498,475,701,305,830,308,445,045,059,404,
745,138,405,284,050,308,061,156,092,032,929,147,732,798,047,889,106,659,602,
417,968,428,942,155,061,998,842,046,122,958,767,969,719,562,840,010,535,080,
027,200,997,257,332,809,290,673,417,102,174,713,649,315,143,127,000,153,284,
087,838,587,603,125,370,306,824,294,373,335,788,733,903,194,526,739,013,214,
904,685,736,856,675,158,017,752,183,931,705,827,210,331,337,829,120,877,576,
042,020,390,466,854,152,171,408,776,458,291,165,931,297,066,429,199,709,876,
364,199,039,764,099,252,448,162,196,824,760,400,522,115,211,473,160,473,663,
818,375,740,646,507,550,923,183,157,292,453,074,616,519,314,578,476,198,782,
165,798,084,434,372,198,594,407,034,315,903,631,145,871,889,582,374,892,003,
614,316,796,857,669,344,421,500,209,448,591,175,173,463,332,982,452,128,627,
839,427,953,406,731,453,646,451,667,750,049,623,853,938,110,979,318,629,311,
814,913,030,310,736,684,419,388,249,449,551,532,425,429,022,253,138,305,174,
705,629,414,688,529,060,833,889,556,750,309,356,421,589,124,300,652,027,299,
181,010,321,305,505,256,107,415,383,347,120,752,533,227,173,506,324,902,823,
856,531,881,659,456,711,606,050,676,129,199,017,255,150,990,311,559,096,209,
348,562,951,795,319,528,213,959,116,526,798,333,336,421,457,111,486,616,982,
543,802,287,635,983,007,735,186,687,625,013,020,621,382,680,076,093,790,860,
010,048,114,722,475,153,460,488,366,476,961,050,761,511,726,353,218,763,832,
433,134,382,398,038,859,235,501,302,231,096,342,747,286,981,273,632,138,583,
809,176,519,402,731,188,193,789,464,390,687,442,899,472,957,784,520,386,569,
153,573,498,554,595,213,021,160,199,053,597,126,523,149,893,485,650,157,577,
351,103,100,935,802,505,128,836,341,059,828,958,288,199,039,598,527,111,063,
212,646,568,484,465,504,186,697,133,018,929,200,484,012,769,261,408,179,656,
514,936,433,827,037,034,419,118,126,002,515,837,648,867,760,742,087,065,025,
038,415,618,212,945,313,563,579,320,300,119,137,922,385,929,360,735,624,112,
488,497,618,935,485,925,051,721,032,761,652,245,479,689,306,966,721,435,816,
757,591,687,700,847,459,132,199,392,119,863,699,454,663,306,685,882,058,479,
709,619,257,496,518,939,109,852,881,704,134,601,343,398,969,550,135,149,432,
888,048,193,947,909,159,226,548,787,204,855,801,334,499,242,058,789,095,265,
973,107,972,611,755,204,726,941,070,288,329,827,841,030,020,819,447,415,635,
869,301,252,456,473,329,222,139,249,654,293,204,882,925,735,087,092,009,974,
168,617,794,248,790,315,431,203,821,003,489,286,051,836,999,373,930,604,338,
753,314,913,453,212,591,509,210,359,535,006,965,079,689,662,506,352,076,352,
374,634,666,660,957,510,894,924,904,219,953,361,970,427,950,589,195,073,435,
349,613,636,435,463,780,845,448,502,238,015,679,495,125,816,142,249,231,264,
988,251,671,300,514,600,501,011,888,456,412,444,187,258,990,260,652,847,242,
604,100,829,581,300,193,291,380,679,670,502,360,335,144,854,738,057,041,800,
868,474,151,203,399,594,650,865,580,101,886,093,060,230,051,561,016,430,658,
296,319,233,785,111,658,270,463,982,114,678,376,607,423,734,108,393,125,739,
113,608,566,516,754,883,962,410,933,641,782,322,403,716,697,550,025,861,496,
273,545,649,615,879,407,314,948,455,520,147,612,050,253,431,062,962,978,850,
516,260,125,169,442,098,322,940,562,445,086,390,745,914,443,355,600,298,226,
044,531,251,909,055,888,057,137,821,014,208,119,989,937,635,569,567,243,702,
398,577,035,497,087,329,509,050,978,795,873,323,988,262,509,069,478,611,082,
957,217,841,301,773,889,638,738,830,572,278,143,129,786,257,221,814,468,466,
643,834,195,768,354,456,812,148,506,610,201,334,574,570,253,585,374,728,167,
698,962,849,897,821,896,072,634,497,639,313,385,375,189,276,669,338,646,809,
958,939,384,905,804,367,766,596,337,276,148,932,665,505,669,686,297,764,025,
588,866,828,286,415,296,742,990,040,666,722,390,423,123,399,216,539,566,141,
631,593,837,928,515,626,304,314,449,575,223,459,616,878,255,421,684,134,544,
306,727,160,920,382,093,051,375,504,187,647,720,961,754,185,385,899,513,870,
967,600,971,783,352,837,043,151,324,638,864,756,138,930,975,927,247,233,961,
450,623,374,420,967,366,195,969,493,930,997,077,462,976,750,002,131,147,278,
994,144,229,091,122,909,129,682,521,613,955,118,006,989,933,760,478,748,820,
024,170,410,329,967,211,590,263,727,545,638,422,985,199,333,183,607,140,137,
676,911,389,173,728,827,202,575,822,091,370,711,910,168,929,580,951,500,489,
073,372,668,457,511,174,425,229,325,934,152,123,135,707,544,037,790,398,240,
753,788,773,577,975,968,770,003,421,295,016,349,708,342,251,607,664,945,001,
866,118,072,119,467,340,079,483,650,548,201,904,743,310,376,925,209,119,018,
083,799,757,345,552,252,054,133,628,267,506,402,212,525,719,941,636,696,737,
354,721,466,506,721,310,056,491,622,929,219,146,061,444,761,850,962,598,982,
963,361,336,188,069,880,431,710,007,041,329,087,948,954,992,068,352,056,676,
830,754,785,001,275,301,478,028,760,743,993,491,666,889,688,219,685,514,508,
086,198,193,435,253,698,653,036,913,450,940,406,814,948,819,106,955,836,405,
456,431,727,935,289,566,469,208,521,673,659,796,208,668,030,416,987,778,089,
249,615,112,973,602,504,136,735,958,561,740,161,474,338,675,567,052,328,671,
599,840,558,001,948,200,380,240,241,692,954,213,201,553,892,589,718,402,355,
172,080,602,764,404,133,098,408,230,746,167,280,869,913,502,037,280,842,985,
216,125,594,844,985,369,285,752,636,745,019,710,945,323,138,123,694,153,068,
287,610,649,498,728,559,805,964,400,957,084,649,318,035,271,718,493,126,054,
451,912,898,539,592,386,176,826,838,975,711,204,937,399,988,056,301,690,616,
529,587,055,331,494,628,546,200,039,181,357,247,634,394,736,967,173,192,770,
888,139,867,087,197,640,390,052,023,847,518,365,272,109,890,581,649,632,025,
064,423,259,276,264,001,070,054,708,596,150,659,192,826,087,074,812,690,787,
460,742,321,542,012,540,157,794,016,775,855,669,293,982,888,825,693,235,832,
846,617,474,077,961,984,780,213,165,725,479,094,423,090,886,098,055,407,962,
187,625,784,560,333,506,633,870,474,584,558,399,902,883,168,524,925,301,293,
560,097,184,094,255,492,934,764,905,119,076,109,431,453,665,912,554,645,567,
189,053,555,959,295,495,428,749,682,377,164,371,939,425,547,934,329,241,095,
992,360,712,068,408,006,265,243,624,739,653,378,331,504,974,429,047,214,042,
034,365,318,441,442,951,664,873,499,022,703,047,813,919,839,289,371,928,368,
104,857,207,756,740,459,568,983,488,972,449,536,790,527,613,424,990,647,436,
386,427,034,427,105,150,944,809,900,874,520,354,894,675,434,811,372,849,620,
289,086,714,067,975,499,515,155,083,775,359,355,355,093,977,108,267,129,456,
270,233,530,831,659,135,342,090,300,639,136,970,447,040,246,543,122,699,614,
994,010,584,744,518,935,454,963,945,605,066,371,844,540,375,219,452,056,809,
126,005,115,913,457,411,020,077,309,504,357,431,860,017,071,917,062,593,441,
872,430,675,484,472,971,156,179,924,947,439,797,025,013,822,667,317,028,658,
619,172,009,262,314,600,014,850,289,046,661,616,247,224,730,663,258,673,323,
276,288,820,262,633,578,065,022,700,684,890,867,492,828,956,969,093,227,701,
744,623,872,359,458,807,960,291,652,639,414,864,016,076,859,364,986,434,682,
346,466,313,247,554,433,632,620,922,322,227,330,621,884,491,961,111,370,505,
162,563,055,856,335,273,427,494,754,442,504,089,369,438,289,248,885,681,513,
193,206,948,103,683,193,154,353,674,493,902,613,513,181,273,883,301,991,699,
170,279,610,185,170,002,792,056,206,157,423,913,868,756,607,865,548,377,690,
475,182,264,839,520,023,451,337,981,971,895,775,271,907,240,839,638,373,062,
531,773,799,456,392,329,802,928,283,109,075,585,377,235,829,225,400,751,233,
846,370,606,785,682,734,726,525,707,425,451,991,053,343,179,751,193,911,816,
944,414,181,567,377,946,957,562,936,075,350,547,128,626,183,761,989,624,931,
476,483,076,999,997,013,631,087,574,854,837,161,042,115,531,933,654,705,294,
605,267,333,622,390,838,200,312,504,612,094,213,754,308,037,595,540,495,035,
216,429,851,351,326,030,078,469,397,712,881,259,326,637,686,189,095,365,804,
581,091,310,377,432,414,980,443,943,858,541,502,066,327,234,515,345,286,226,
867,907,292,055,025,824,159,383,063,907,963,388,367,514,996,203,822,105,667,
622,444,870,560,170,054,407,754,830,414,454,189,272,534,609,901,774,356,116,
306,556,730,740,499,105,402,935,938,974,577,722,727,878,219,023,834,780,025,
908,973,263,795,813,617,416,165,985,504,844,285,922,254,329,883,576,207,067,
112,311,620,904,789,997,415,602,364,880,906,829,663,709,767,117,616,812,889,
986,455,099,722,155,951,986,162,557,678,059,125,652,026,690,577,453,324,046,
347,119,665,461,247,570,461,555,720,928,032,747,226,114,554,790,151,853,031,
175,470,686,539,119,872,419,518,844,557,773,648,717,013,492,291,366,488,501,
083,054,986,311,442,842,241,092,117,989,384,524,612,370,905,864,057,212,617,
791,374,813,994,444,673,701,842,808,979,516,720,093,482,754,514,657,441,339,
151,135,843,552,016,287,547,805,033,678,515,423,102,910,050,574,003,569,963,
846,413,993,368,938,953,488,837,739,187,664,171,993,228,952,637,983,821,218,
438,840,048,254,128,603,199,865,515,389,167,108,900,014,558,188,645,024,213,
603,384,760,230,454,205,175,195,629,713,428,123,476,482,414,073,860,240,244,
053,523,888,479,902,441,648,749,168,755,992,255,913,988,841,558,138,835,734,
615,210,671,229,042,135,029,486,227,774,789,856,007,832,062,604,119,125,487,
379,310,076,106,165,651,556,686,886,042,147,889,727,889,381,215,341,001,542,
421,871,567,725,076,387,950,389,394,807,177,680,927,316,490,914,454,074,017,
371,483,747,113,665,226,325,501,579,309,676,003,597,080,266,324,195,613,286,
416,888,874,067,398,118,945,656,683,158,377,516,215,281,230,190,276,016,599,
202,767,937,758,209,210,054,261,071,099,286,398,394,577,226,494,327,302,408,
400,099,320,492,146,796,770,039,939,528,170,225,344,264,985,750,256,184,257,
936,636,778,782,968,404,174,369,194,388,997,323,786,319,106,941,613,950,072,
611,083,636,801,115,969,985,292,065,420,491,303,915,541,419,152,475,882,495,
124,748,519,089,131,472,579,959,026,245,521,412,910,802,833,186,725,974,462,
152,196,027,943,261,851,704,372,890,130,183,813,661,659,328,464,318,806,710,
194,313,273,394,726,219,618,576,266,092,084,853,337,540,360,135,240,339,714,
795,857,404,731,784,323,234,854,695,884,208,460,028,775,771,809,760,294,386,
054,237,535,061,494,910,376,810,127,744,892,628,991,149,255,538,749,083,673,
558,395,616,267,265,550,364,663,443,164,759,164,664,078,995,230,407,922,363,
726,823,190,046,421,223,513,404,212,698,459,607,580,799,283,758,375,671,781,
115,030,677,601,762,601,952,964,684,480,189,709,890,810,924,561,002,643,102,
846,815,094,191,232,330,599,072,607,953,343,574,036,370,453,136,191,706,960,
756,977,942,715,365,674,621,803,448,643,723,219,588,120,353,380,847,934,435,
078,706,672,594,984,938,612,248,290,482,779,751,296,418,275,512,556,728,606,
582,192,794,518,490,026,623,212,924,180,343,137,327,392,524,789,865,032,619,
637,930,892,751,092,487,494,469,179,778,559,808,396,090,929,527,819,812,267,
300,380,708,057,118,653,975,468,376,731,493,021,265,941,502,867,491,240,222,
628,840,058,298,823,908,434,684,015,938,891,912,950,856,318,449,026,389,268,
228,063,283,927,218,868,574,941,202,910,237,090,488,269,853,407,803,688,101,
319,329,597,625,791,777,602,605,267,892,920,903,729,701,443,324,173,906,596,
347,473,171,593,090,151,126,792,442,019,819,086,906,893,010,854,854,078,098,
633,670,928,590,038,073,753,067,914,229,829,337,343,513,445,986,259,161,213,
475,565,312,759,052,927,719,493,282,229,634,195,728,291,844,632,585,391,360,
134,066,036,174,443,893,906,290,472,393,626,569,914,676,350,518,610,747,619,
770,951,054,267,151,040,682,410,327,532,466,962,867,383,016,974,337,778,932,
621,887,469,874,822,784,073,546,954,587,714,493,288,695,668,441,608,008,273,
059,935,241,906,224,349,295,139,556,413,384,922,286,204,931,148,963,448,358,
327,696,415,338,631,994,736,283,194,734,468,449,913,355,810,667,328,085,884,
954,235,804,947,669,097,223,920,544,423,821,867,500,330,902,356,748,993,557,
756,765,564,878,824,882,502,049,692,095,542,291,434,698,802,033,146,477,605,
928,371,207,829,404,713,518,563,165,150,124,681,666,398,567,630,369,782,049,
268,012,156,998,583,303,327,340,874,637,530,998,017,656,817,671,886,589,328,
255,616,321,276,254,268,296,140,696,650,642,955,764,028,434,367,806,307,070,
507,698,284,532,622,910,099,724,990,544,018,991,741,618,879,673,475,712,918,
290,201,961,341,655,133,952,842,851,785,189,953,659,492,545,434,505,482,730,
915,027,697,559,405,735,464,081,708,736,203,768,409,217,606,464,105,321,754,
461,767,583,664,758,040,015,756,153,065,850,001,426,528,551,150,113,347,396,
161,321,181,346,969,159,909,688,792,850,343,194,492,321,917,809,038,439,698,
851,568,016,211,176,830,854,326,597,001,316,098,604,355,950,123,958,969,008,
420,831,897,258,215,413,622,445,124,239,302,171,884,778,473,635,806,486,110,
829,059,588,699,415,500,735,944,325,194,122,750,501,143,027,892,920,215,698,
426,390,678,227,810,235,387,142,441,265,864,946,808,635,712,283,345,172,473,
712,303,472,449,010,901,151,058,370,654,215,065,295,867,777,138,659,585,761,
794,939,592,702,097,178,932,908,662,077,950,254,668,602,580,158,343,310,776,
742,919,688,568,564,502,490,378,887,653,012,512,877,471,720,407,253,779,912,
345,398,235,775,123,221,423,079,315,921,499,159,261,707,787,883,759,708,649,
875,548,499,758,226,781,301,042,146,142,321,398,252,932,090,966,853,655,940,
264,631,381,402,864,930,242,679,494,797,975,256,393,979,512,033,177,878,975,
753,577,489,210,539,999,391,263,771,294,497,370,044,342,051,027,319,481,272,
692,995,515,044,860,590,626,409,145,039,572,986,195,806,382,367,420,618,661,
561,917,737,701,439,128,729,365,944,289,512,193,286,523,209,287,071,298,221,
376,313,073,157,215,595,696,962,228,277,809,743,401,558,431,134,274,371,896,
030,106,373,925,597,384,363,903,325,790,770,342,938,806,758,236,204,032,540,
399,437,883,397,689,328,449,812,480,818,555,552,428,541,009,119,819,818,917,
943,777,458,746,830,220,189,409,376,843,364,025,637,877,613,207,495,259,095,
999,411,551,625,492,267,364,135,252,040,011,914,323,547,267,671,068,746,711,
865,285,688,340,888,428,099,677,783,530,263,413,574,534,367,695,196,300,508,
856,075,200,377,348,360,129,891,663,970,013,702,351,163,514,378,947,943,849,
084,890,932,142,964,357,918,863,582,487,256,512,694,165,180,951,487,143,690,
257,435,651,882,066,596,693,586,939,658,539,958,245,060,463,389,861,702,759,
943,031,541,086,666,127,838,985,426,251,588,802,988,768,491,168,847,791,017,
225,870,497,706,278,130,098,012,047,819,222,157,461,799,142,402,398,136,323,
739,475,834,546,575,861,245,026,568,122,647,098,501,232,536,820,869,341,271,
470,178,194,611,496,518,450,246,161,556,907,015,577,562,885,554,304,915,944,
691,005,877,399,847,560,599,129,476,039,536,099,492,599,425,877,981,793,775,
941,092,447,995,278,488,861,634,748,511,525,805,062,475,924,194,964,423,925,
981,003,081,835,808,385,052,716,936,958,018,951,900,105,402,542,651,562,608,
823,635,000,329,006,031,790,077,211,801,467,514,507,075,440,973,471,760,775,
115,121,783,631,672,060,452,917,361,602,532,057,224,787,547,711,862,040,044,
150,148,861,551,377,184,376,272,596,755,875,863,781,865,260,843,098,197,413,
430,079,976,814,448,938,867,032,955,650,422,109,268,105,321,577,887,219,912,
311,819,300,919,754,608,735,010,685,106,670,805,531,161,749,125,816,171,364,
587,219,195,736,129,681,788,754,252,674,188,764,928,280,621,535,756,397,219,
789,495,503,290,338,534,566,180,189,723,772,743,629,068,818,277,828,984,149,
582,876,289,247,508,173,216,427,838,144,732,243,776,703,653,843,659,081,106,
082,676,054,600,563,554,031,318,743,717,208,353,259,894,339,547,824,563,700,
936,871,365,680,534,012,043,705,637,954,185,911,088,291,059,510,397,470,176,
233,200,769,517,259,984,017,872,348,176,003,669,292,052,920,014,202,535,944,
371,801,065,715,097,123,080,039,213,687,328,933,844,837,076,971,918,074,669,
554,325,924,352,894,715,029,168,998,807,629,289,479,670,515,508,418,796,720,
457,216,322,532,509,103,185,193,763,085,904,119,805,574,874,283,460,213,621,
265,875,819,612,101,838,664,781,277,873,051,459,169,802,723,675,205,580,731,
840,753,587,838,947,035,707,628,657,056,013,096,253,080,294,685,313,119,724,
691,716,638,033,739,867,382,866,760,512,127,003,737,713,936,043,881,004,405,
899,504,618,198,482,377,476,833,524,465,499,276,284,799,074,312,308,094,219,
966,578,508,256,619,664,309,307,363,347,890,360,244,680,496,430,978,110,684,
365,391,112,696,585,233,236,018,136,934,859,623,364,982,994,835,693,156,588,
906,311,241,682,641,935,400,204,659,709,291,872,836,394,687,900,363,105,527,
489,449,551,874,898,922,502,549,280,501,130,006,943,747,991,849,210,749,501,
310,059,030,125,421,635,211,232,788,340,844,778,719,323,063,189,881,112,686,
299,429,467,326,320,229,099,380,680,847,726,779,913,774,248,434,842,596,433,
689,311,074,993,488,395,027,830,066,287,465,385,974,208,420,498,832,417,948,
268,920,644,975,686,384,479,163,940,968,274,473,273,207,121,387,107,403,358,
123,258,537,135,294,267,775,664,539,445,558,112,240,143,469,251,422,795,366,
182,757,483,984,652,513,274,440,685,338,292,014,340,893,552,676,459,306,940,
546,849,551,151,121,971,836,351,114,015,824,657,586,119,818,628,535,113,992,
448,042,728,869,809,540,542,308,287,257,983,393,080,492,600,881,091,492,564,
939,207,829,116,789,458,391,534,676,852,241,307,513,428,287,888,273,830,967,
236,539,694,613,380,829,692,632,169,267,083,513,555,631,212,203,425,986,051,
187,976,718,719,313,522,513,986,753,403,601,997,092,095,527,721,682,286,853,
999,408,249,766,765,832,445,163,667,692,789,926,050,920,952,768,927,293,855,
177,528,374,298,520,212,528,509,483,682,381,176,412,228,419,649,107,223,018,
328,352,768,559,072,760,482,928,409,691,219,288,331,953,418,234,265,046,844,
916,890,532,205,275,049,039,460,640,473,227,916,600,728,740,282,672,947,415,
016,185,106,133,201,895,870,014,081,684,639,854,866,364,828,056,886,025,904,
480,499,405,275,513,022,821,222,461,038,567,871,585,734,468,416,642,066,546,
279,155,290,163,430,947,186,866,234,437,915,765,448,652,095,025,230,511,650,
395,678,038,263,401,077,094,296,466,027,205,853,458,037,315,445,112,741,152,
769,966,081,349,215,943,287,824,025,384,722,406,500,642,100,928,763,814,663,
947,427,016,685,710,913,332,158,819,704,387,033,913,768,315,561,095,430,428,
445,537,986,682,791,792,077,127,771,719,149,541,649,127,534,113,001,298,778,
202,146,115,802,300,868,632,243,792,051,863,910,993,923,232,454,224,228,814,
831,255,156,795,695,389,272,905,904,001,110,543,078,932,611,518,464,458,854,
918,934,535,932,486,151,231,824,245,198,144,629,331,913,976,771,297,045,284,
439,145,761,334,705,688,730,357,301,035,851,024,038,688,863,430,116,734,394,
100,544,175,710,499,820,070,161,479,623,097,178,561,225,139,779,980,700,992,
556,910,716,242,827,714,357,985,482,819,108,698,292,462,291,041,091,708,777,
545,389,500,631,581,288,861,863,475,506,552,698,816,221,508,406,766,844,213,
121,660,552,286,789,646,474,201,419,544,328,090,838,389,833,151,541,253,004,
167,155,302,615,802,060,636,978,696,359,762,209,025,660,041,047,411,810,353,
660,298,079,929,234,736,175,826,786,686,063,513,683,254,597,924,433,208,016,
649,813,713,495,113,611,663,443,398,866,357,533,912,786,766,020,679,447,782,
172,355,229,171,144,649,990,718,622,314,261,003,273,453,659,099,090,499,013,
700,702,761,244,256,137,754,049,208,472,269,630,932,296,007,197,071,268,509,
635,379,259,982,991,296,703,207,503,236,666,272,558,206,557,394,848,354,758,
306,004,720,017,948,958,987,175,676,120,971,197,118,935,313,043,874,126,743,
500,634,743,485,170,491,211,288,838,565,542,171,693,936,514,193,428,768,803,
656,503,466,418,453,641,903,886,269,493,884,526,037,655,468,592,223,764,831,
041,463,920,204,765,740,199,338,881,594,922,091,271,867,526,728,489,105,554,
395,090,757,558,846,095,042,136,691,897,301,917,782,649,058,792,070,377,237,
508,950,875,315,416,345,703,397,262,976,805,955,882,395,512,843,303,740,076,
859,817,337,610,006,253,954,982,690,797,678,764,469,302,215,980,902,139,275,
952,823,313,092,935,524,732,794,467,169,083,820,457,096,237,019,088,695,331,
362,944,110,562,614,491,895,819,803,049,638,779,987,316,294,780,971,034,622,
179,866,140,820,410,664,986,392,883,658,728,349,826,422,932,039,967,222,074,
990,150,235,382,810,340,249,948,260,969,625,971,848,374,700,186,684,888,269,
831,992,312,697,521,228,853,707,321,437,552,556,303,906,762,880,270,143,191,
225,074,852,237,311,499,161,380,956,860,749,163,995,804,309,375,710,826,951,
815,280,329,571,714,878,676,989,993,317,691,557,536,356,295,089,005,144,251,
018,845,603,812,805,788,773,053,298,270,486,566,245,457,126,351,694,903,699,
287,886,143,788,941,041,308,294,885,006,535,581,352,504,198,520,077,154,612,
832,785,579,721,916,839,062,229,153,034,144,568,887,097,070,424,214,711,185,
080,508,003,830,532,533,047,558,618,693,798,951,302,450,799,924,504,844,421,
309,094,081,025,636,634,195,735,781,668,137,323,155,261,303,942,250,897,854,
996,371,771,931,501,260,009,032,719,212,752,927,354,154,980,044,261,620,655,
214,818,173,039,592,993,495,092,434,194,489,551,257,575,702,632,630,729,333,
909,687,525,026,812,061,691,471,887,770,142,613,354,751,461,266,697,526,936,
671,335,688,320,202,810,558,330,447,728,616,531,548,009,519,202,078,824,089,
662,069,369,182,126,930,663,252,610,985,234,217,183,919,438,935,233,967,340,
881,207,918,358,976,221,422,714,336,192,342,065,511,937,359,682,659,031,449,
057,188,850,512,162,641,168,795,020,019,964,067,903,466,588,651,855,373,049,
142,216,947,234,346,672,140,130,973,754,033,833,775,700,859,245,915,724,076,
223,165,434,735,330,707,026,495,714,390,063,201,128,461,447,019,847,366,310,
693,661,056,101,661,270,251,768,736,541,187,823,752,722,041,603,236,855,054,
386,133,259,419,857,751,836,350,398,723,573,072,286,300,747,749,090,358,391,
392,789,493,546,989,977,109,656,393,964,279,399,508,658,517,212,411,649,069,
107,440,014,544,174,217,548,778,145,089,613,928,245,051,523,100,129,116,886,
281,827,773,324,837,522,491,237,538,422,070,603,858,592,142,445,549,756,425,
829,802,168,403,061,664,878,008,628,393,527,087,114,507,371,800,671,660,177,
155,349,529,301,668,691,267,022,053,815,234,596,650,417,593,055,692,124,971,
049,597,866,707,526,352,488,619,136,918,581,599,557,953,725,131,255,194,391,
269,603,239,033,513,702,353,237,069,792,629,529,329,704,551,129,018,672,535,
026,494,464,937,738,860,132,492,633,089,414,229,884,702,454,905,981,664,729,
880,019,485,133,336,924,800,205,074,201,439,706,404,242,347,721,382,596,528,
004,718,798,437,599,043,009,955,086,535,344,266,899,790,296,261,807,715,259,
255,925,947,738,010,471,983,120,786,649,432,177,576,386,738,929,452,227,608,
532,873,213,213,261,139,506,842,161,349,652,883,979,114,269,903,569,930,619,
198,770,832,355,157,773,246,229,564,184,715,770,192,239,682,095,762,084,685,
393,247,917,328,145,962,896,445,761,111,112,597,438,541,375,625,441,691,273,
872,779,215,338,472,846,053,748,861,965,500,738,846,722,958,531,244,838,913,
733,943,508,226,913,418,647,750,699,919,396,955,685,791,447,766,678,645,509,
298,653,326,712,232,410,018,270,927,030,076,888,056,842,933,291,890,822,835,
289,610,888,877,573,144,270,164,883,311,993,471,210,581,921,536,989,637,551,
562,394,274,283,347,811,557,915,637,243,717,875,014,212,310,056,598,090,557,
691,219,966,174,413,096,185,154,559,476,432,041,354,766,036,177,982,935,902,
788,468,353,356,496,385,173,644,161,688,783,089,046,282,663,532,806,600,266,
788,023,043,890,834,798,276,631,999,199,174,791,562,744,573,247,797,528,760,
044,238,832,018,432,357,760,457,447,980,818,817,806,147,702,299,718,098,755,
432,958,863,097,225,432,923,377,925,939,608,611,571,695,184,403,248,207,768,
696,871,202,807,189,133,582,511,261,598,708,186,262,873,078,438,081,452,358,
247,604,005,270,575,677,113,960,893,853,749,169,159,292,291,839,150,663,896,
243,084,185,230,057,565,174,784,581,609,874,422,949,461,318,138,443,640,822,
702,400,254,147,653,205,686,031,922,168,709,758,229,353,646,602,073,547,461,
371,676,968,885,516,578,354,011,104,498,336,904,785,107,458,998,558,982,562,
567,228,969,741,658,562,988,862,515,447,844,797,862,256,261,806,144,146,020,
038,817,958,420,227,355,914,011,680,665,579,342,767,564,362,491,097,089,832,
490,398,009,096,446,548,441,819,673,139,778,385,648,366,260,259,016,440,190,
488,805,073,503,426,142,353,742,347,700,313,498,579,648,108,285,048,013,436,
145,359,548,695,082,749,504,494,171,259,693,269,813,829,109,358,992,390,071,
607,460,134,741,763,589,621,014,021,514,279,423,417,763,184,348,113,619,639,
672,284,588,391,882,295,954,799,561,694,996,329,150,606,607,690,442,873,519,
972,757,221,304,380,129,557,474,865,227,381,631,696,611,747,025,389,362,412,
490,253,559,498,253,477,372,882,330,318,738,700,158,448,476,168,714,577,090,
739,307,623,781,504,509,574,915,850,061,126,794,854,234,796,673,556,552,411,
197,469,785,715,871,121,600,769,046,588,974,035,002,108,193,754,016,525,227,
349,239,139,153,679,653,961,952,339,372,337,308,979,609,525,692,057,234,065,
686,758,599,085,141,283,407,055,559,156,554,908,888,947,537,185,697,573,073,
877,659,007,453,627,236,875,548,027,777,861,542,650,590,152,442,111,522,100,
651,697,611,994,707,637,929,100,743,000,099,098,450,274,872,121,821,157,187,
088,887,238,457,532,123,322,554,030,758,809,714,496,023,709,544,446,223,934,
893,681,404,220,932,365,437,357,276,632,233,970,102,318,434,439,352,179,848,
107,501,573,883,798,246,009,805,138,718,293,178,976,957,519,249,653,949,807,
277,710,504,053,506,685,847,478,975,909,010,705,764,130,721,989,219,048,907,
843,299,679,863,371,558,813,448,195,699,833,706,688,830,250,315,916,568,125,
248,174,860,606,377,656,039,447,242,232,991,287,140,944,901,783,688,051,769,
120,852,022,827,169,529,245,940,388,104,293,688,475,429,943,123,154,850,460,
669,546,208,167,698,534,854,394,010,053,810,673,751,008,438,797,697,674,125,
371,630,679,868,913,213,805,350,621,936,821,254,754,787,699,961,733,559,622,
879,902,759,585,440,822,598,358,335,512,010,308,678,547,576,616,855,860,249,
914,536,800,473,588,811,372,928,870,365,441,567,405,981,587,659,930,419,282,
749,890,357,720,235,004,206,938,602,822,062,660,813,950,720,440,838,047,548,
742,150,593,536,748,402,087,649,974,469,822,792,040,179,939,950,607,736,316,
666,572,863,029,941,524,006,411,765,258,362,293,240,129,301,707,918,047,457,
972,039,837,621,038,584,553,831,011,431,049,552,818,120,396,189,438,787,950,
024,177,956,800,327,905,323,101,884,617,787,309,258,141,237,276,120,793,836,
875,941,129,011,078,419,392,194,617,371,443,301,199,624,793,720,468,777,950,
290,145,042,020,667,220,700,613,803,382,855,466,723,351,560,286,093,051,322,
475,026,820,725,103,495,026,534,991,773,068,002,653,924,234,218,023,380,666,
269,313,094,431,661,881,484,621,971,052,432,722,126,397,168,617,805,151,457,
659,603,895,905,140,780,663,558,635,765,731,534,260,003,773,420,856,846,228,
206,682,072,613,379,174,728,632,318,909,199,525,355,756,768,752,011,145,286,
406,364,448,997,342,921,405,760,117,138,975,113,574,864,426,367,185,074,025,
179,461,958,209,687,299,826,593,532,158,588,450,307,353,865,068,279,057,557,
936,372,572,762,092,479,044,212,571,427,226,858,818,588,201,938,554,771,039,
571,327,391,481,255,467,821,433,573,674,100,427,169,759,951,270,451,922,862,
067,413,806,263,896,188,269,287,864,435,677,246,678,096,218,549,380,738,471,
776,024,304,320,472,488,185,215,888,773,714,122,774,130,028,345,568,079,837,
794,993,923,808,221,560,618,042,847,157,882,708,440,070,707,096,264,263,754,
838,627,455,272,048,709,582,402,389,264,145,284,360,828,351,556,235,424,934,
974,941,704,376,299,210,789,417,959,904,784,724,517,467,178,278,573,531,437,
566,326,040,752,269,272,051,875,304,603,115,443,562,257,251,477,933,091,115,
469,655,931,461,599,142,969,824,935,196,934,992,489,028,648,253,984,293,664,
827,534,795,341,131,854,715,037,051,635,848,272,951,358,518,086,233,363,758,
897,804,282,156,887,831,988,966,459,151,238,233,688,686,751,795,087,391,044,
472,740,635,029,184,577,994,768,784,448,724,796,371,546,732,493,134,270,305,
278,051,872,867,184,940,959,751,295,161,006,377,434,494,534,088,304,485,090,
840,456,932,431,570,110,343,131,005,872,624,794,932,117,225,412,724,623,957,
912,322,671,080,231,410,184,363,490,448,354,081,884,923,428,656,115,560,281,
103,423,048,076,069,124,591,764,160,229,484,998,842,061,065,850,180,202,677,
537,052,274,660,652,273,917,824,147,438,568,005,857,736,971,823,612,099,807,
280,973,242,141,951,226,812,621,430,298,613,772,993,976,069,296,987,749,382,
956,755,970,191,715,580,221,009,444,079,448,665,221,232,738,522,761,861,233,
511,416,364,837,858,005,869,131,652,458,509,921,594,506,297,167,134,819,263,
597,605,616,585,770,053,030,230,452,122,417,026,033,417,327,571,058,356,093,
611,459,154,057,501,385,807,051,998,062,432,350,175,362,333,968,146,844,238,
058,519,031,565,222,953,709,200,192,533,310,915,299,978,352,180,950,930,488,
958,264,521,767,346,286,198,235,174,978,490,250,910,371,340,719,543,787,915,
433,502,601,914,677,740,254,319,434,708,182,758,265,912,547,211,031,326,702,
850,147,648,904,476,924,246,380,554,144,329,652,865,760,305,213,650,417,328,
366,601,051,006,600,329,967,501,194,815,013,760,943,986,314,538,490,676,636,
719,110,669,593,993,883,456,338,630,456,544,663,585,411,220,793,918,351,410,
289,408,113,162,912,136,009,134,068,823,729,675,311,254,325,962,499,907,661,
509,540,643,297,220,881,448,387,085,108,148,075,468,886,308,916,623,085,293,
687,078,300,928,231,564,693,348,732,693,751,833,428,495,637,037,766,644,749,
479,615,265,057,344,386,278,195,406,030,117,613,609,623,893,517,267,835,836,
305,334,605,096,241,937,415,805,627,212,201,371,002,479,187,188,223,073,568,
685,421,080,846,212,317,240,367,720,545,009,869,947,232,865,011,202,133,706,
373,384,635,631,126,071,507,796,629,759,117,345,358,688,100,370,879,318,414,
575,406,420,312,615,465,871,170,219,835,070,820,687,318,824,170,241,205,597,
091,130,308,304,792,993,010,079,431,932,429,513,389,016,546,759,314,547,523,
878,618,730,826,563,775,693,394,225,995,011,399,503,573,549,511,252,593,609,
771,241,952,963,547,452,570,968,936,796,189,526,481,727,036,975,493,024,149,
755,249,873,762,715,118,239,213,704,449,440,091,723,476,982,142,601,316,991,
347,113,873,469,606,390,757,460,373,512,328,869,726,707,382,436,140,830,792,
445,734,940,553,620,904,970,712,851,936,292,546,814,483,871,304,721,660,313,
183,629,754,662,587,214,114,917,156,616,479,401,158,889,369,150,388,094,353,
681,810,983,765,732,388,336,017,699,920,965,668,103,200,230,763,302,464,904,
214,793,122,713,832,695,424,143,741,218,749,403,385,983,022,566,894,134,354,
184,899,749,655,810,869,787,222,047,990,359,824,092,038,441,931,165,758,122,
016,946,110,470,705,786,459,793,022,731,306,764,715,213,847,711,861,536,482,
094,452,591,017,670,631,166,026,227,382,035,787,585,704,245,869,956,547,604,
275,047,328,269,460,141,826,108,429,234,665,013,350,707,577,759,269,170,147,
612,044,771,660,526,932,403,597,464,269,217,530,682,309,825,105,720,215,305,
938,275,589,934,018,574,699,755,669,752,800,775,364,442,547,005,105,798,980,
420,866,158,532,228,377,228,950,758,508,029,367,122,656,006,535,699,155,102,
365,715,779,016,582,476,447,837,816,612,975,301,330,869,937,873,485,500,618,
638,089,081,488,449,010,144,348,222,836,226,550,502,465,067,141,763,527,058,
281,636,784,731,695,231,955,495,273,886,246,412,663,632,015,463,557,183,680,
615,964,638,179,926,254,169,718,809,036,954,690,404,801,983,196,739,078,296,
150,219,615,944,842,315,931,620,213,775,124,800,527,964,388,992,927,016,123,
820,382,410,498,690,863,599,853,344,019,725,508,056,394,991,800,464,758,329,
299,484,430,979,372,211,413,919,739,999,838,113,286,924,209,631,014,199,234,
058,226,371,161,626,058,110,539,676,187,838,720,016,103,199,104,318,794,666,
508,426,911,541,824,471,511,823,400,698,508,081,204,784,217,854,996,977,754,
615,689,951,361,325,137,808,939,802,349,177,951,901,984,337,210,509,652,366,
962,069,277,426,553,963,439,807,794,653,669,218,904,095,493,967,511,668,346,
231,077,485,534,029,909,373,389,967,739,354,852,775,196,411,451,311,022,935,
966,492,744,652,819,731,965,824,672,259,453,790,085,760,906,205,078,944,729,
906,207,566,905,360,763,347,675,897,856,801,378,548,621,386,780,600,895,666,
979,176,692,752,566,478,022,697,252,011,631,935,444,002,797,204,104,184,059,
447,950,625,103,537,943,087,975,909,552,579,861,424,610,513,344,930,508,445,
564,740,213,090,340,424,477,568,937,471,745,896,281,960,217,911,943,582,985,
936,221,459,695,167,459,581,918,170,652,215,964,081,867,517,020,508,554,802,
402,609,272,249,751,323,535,094,506,459,050,293,175,127,321,000,430,600,670,
360,381,162,523,184,797,934,829,280,518,948,177,016,436,546,281,317,281,847,
782,675,851,122,731,368,356,148,681,606,926,209,880,086,956,822,714,415,601,
158,667,613,485,987,895,499,977,332,412,158,689,852,161,681,284,126,082,301,
626,280,242,475,999,540,942,339,672,735,237,485,117,414,589,417,912,994,822,
033,150,138,115,467,147,278,133,683,206,192,465,155,620,231,461,920,424,589,
109,447,861,556,024,079,369,849,981,713,980,030,103,717,127,464,024,243,476,
059,597,977,644,483,733,451,007,504,975,637,359,457,970,720,076,539,993,360,
484,191,657,830,773,991,405,446,050,790,276,513,336,545,510,823,103,682,488,
402,693,229,345,885,509,520,376,557,698,022,406,598,281,242,279,810,465,974,
380,329,486,737,492,771,207,545,205,463,918,017,063,988,739,211,837,229,708,
091,514,757,314,449,570,587,066,587,935,201,480,243,932,337,501,914,026,656,
645,584,059,620,818,732,323,643,806,621,715,671,081,843,100,972,325,421,277,
841,587,354,715,903,616,948,384,227,477,178,680,402,102,786,630,430,604,649,
821,451,294,290,944,670,780,518,850,190,944,984,282,653,304,024,917,556,778,
114,183,313,043,351,134,681,882,868,280,191,743,069,453,134,143,614,433,325,
394,268,413,214,356,827,957,737,609,519,212,791,162,833,643,132,177,507,005,
318,192,405,572,200,509,707,737,926,697,515,640,314,583,970,651,066,155,318,
006,373,367,791,314,388,090,680,864,072,010,064,690,667,931,205,839,009,168,
514,048,856,538,070,963,654,907,424,902,275,451,527,790,968,772,335,196,104,
794,145,610,965,926,738,024,794,824,215,294,955,259,798,097,162,025,934,687,
877,320,879,491,294,014,236,352,958,991,213,189,135,907,403,481,600,134,820,
849,565,741,660,061,690,448,608,321,186,143,772,859,956,357,275,216,098,415,
402,465,696,359,059,296,867,967,611,802,069,633,834,998,447,118,590,587,214,
941,684,258,961,043,331,037,004,057,676,928,954,660,648,254,606,326,505,896,
993,850,638,492,789,090,775,538,733,504,044,479,226,577,353,098,376,340,038,
980,953,812,981,431,444,743,835,466,430,044,384,932,797,444,018,024,217,997,
423,224,747,521,705,680,919,667,631,330,634,557,573,794,651,269,664,874,375,
695,062,307,667,719,987,785,353,534,432,341,869,370,598,217,094,857,208,583,
351,068,438,179,542,915,880,085,986,157,265,434,832,815,796,828,987,460,401,
806,267,344,645,963,724,430,218,298,685,588,241,824,393,714,047,475,677,799,
572,420,854,746,531,635,388,658,647,841,376,726,670,263,410,553,003,783,816,
660,582,865,900,812,469,737,523,734,615,880,538,295,039,251,388,138,793,263,
133,034,302,460,459,666,398,442,622,624,191,398,830,612,405,658,563,739,522,
321,437,780,493,222,489,029,950,205,784,500,051,128,516,779,969,664,311,077,
478,040,699,036,551,616,384,365,794,694,814,004,131,342,542,872,449,633,755,
135,625,237,580,705,166,354,390,356,726,908,304,771,292,546,198,800,208,277,
653,604,770,164,162,077,816,341,202,067,203,494,031,652,158,805,564,941,319,
610,679,570,301,806,884,982,516,298,413,102,623,796,288,019,836,480,376,719,
596,396,256,528,181,365,663,999,713,080,601,413,274,039,449,814,568,332,714,
171,878,787,928,384,318,511,054,108,342,166,683,033,094,877,737,263,705,494,
978,591,378,137,441,400,740,565,975,001,598,200,095,606,263,733,554,379,447,
237,574,696,759,335,211,538,962,607,452,893,574,930,444,014,970,770,822,925,
607,435,058,469,405,503,739,494,769,086,445,383,298,584,922,767,837,922,565,
418,674,248,154,921,112,059,838,737,850,439,535,283,172,189,202,329,832,031,
059,304,220,525,592,989,874,336,709,467,983,253,478,808,781,081,801,138,299,
570,155,777,896,935,453,538,623,057,051,191,680,709,095,162,799,836,690,916,
088,819,076,303,233,019,028,720,237,224,425,952,873,384,972,852,250,657,695,
233,815,143,097,805,354,075,906,394,393,553,409,149,263,917,660,502,118,317,
333,767,815,205,573,202,501,897,872,889,250,958,843,426,409,052,789,111,085,
103,097,845,214,597,252,263,813,137,412,219,318,152,662,917,834,822,674,201,
158,502,581,423,943,736,453,071,186,180,254,762,924,344,593,385,189,285,390,
141,590,109,673,659,079,137,538,292,050,329,206,089,041,390,037,245,532,096,
418,987,486,290,112,037,435,116,828,238,343,506,460,004,880,149,728,863,175,
928,755,739,869,675,276,361,106,683,430,512,930,491,120,865,731,018,717,485,
020,216,280,503,557,484,446,428,978,150,569,096,728,877,119,997,734,052,283,
854,019,887,775,040,679,471,052,396,957,327,748,036,265,076,575,872,209,689,
210,662,140,206,066,322,158,694,703,863,224,265,926,821,252,740,926,822,407,
621,462,271,602,190,953,905,481,144,529,494,709,254,238,055,373,457,611,436,
924,946,406,780,768,518,689,114,668,821,001,200,047,155,242,446,209,946,672,
610,827,704,387,455,102,592,980,364,125,191,050,851,588,216,246,949,327,511,
265,996,654,864,089,950,786,506,058,450,101,106,917,426,382,244,623,806,293,
351,271,649,666,277,315,998,382,771,532,142,724,831,914,778,957,810,562,682,
315,954,133,050,126,387,185,100,371,840,161,925,941,556,475,076,420,668,899,
445,104,020,011,467,001,955,950,736,572,121,150,780,176,704,157,050,800,779,
550,299,790,814,895,592,271,706,016,940,620,815,765,013,801,408,831,548,518,
604,891,568,595,406,119,805,586,341,739,795,645,646,648,696,380,883,528,337,
994,447,807,084,373,771,905,452,749,885,223,990,515,767,846,247,289,690,222,
304,953,763,349,411,786,114,955,786,844,079,679,886,934,808,826,215,256,618,
021,862,525,312,014,049,419,068,708,100,731,692,988,510,228,066,864,403,942,
792,810,622,926,402,117,510,963,937,277,978,770,558,875,718,389,460,304,608,
684,646,126,726,318,171,632,498,108,936,973,180,726,031,007,155,601,845,012,
399,822,490,709,724,612,613,414,084,646,723,647,484,501,564,635,216,486,157,
702,103,901,694,798,414,782,349,392,571,538,829,636,574,409,399,056,261,191,
871,788,772,530,369,035,388,475,387,181,527,447,024,478,551,126,847,452,739,
008,581,936,353,153,144,365,829,586,363,504,191,807,273,470,771,206,113,860,
651,577,984,291,192,675,066,353,030,511,929,583,408,052,926,514,033,598,840,
984,038,817,676,214,757,762,579,622,248,620,895,392,043,073,831,564,833,462,
538,378,526,147,410,669,577,673,588,524,207,756,671,457,989,948,508,954,509,
188,852,412,213,996,460,319,021,574,411,843,037,443,664,400,034,197,075,888,
462,826,965,807,927,637,282,152,475,419,278,081,484,413,287,192,078,578,155,
065,634,682,451,891,753,911,065,174,776,992,581,750,996,082,435,144,449,601,
983,812,686,016,141,539,644,169,054,948,661,995,493,803,328,013,689,539,804,
127,521,046,830,610,077,497,999,044,496,414,824,914,481,598,890,165,015,304,
438,260,871,682,667,138,744,676,744,238,648,985,545,167,689,919,147,239,861,
828,459,510,029,006,550,196,438,056,018,576,575,267,664,287,743,638,170,548,
782,046,435,261,894,810,393,477,082,921,919,449,397,663,708,184,924,809,629,
744,589,969,011,081,423,274,073,315,208,581,412,747,732,236,240,320,266,927,
267,024,228,883,707,022,847,407,545,248,798,316,980,265,382,633,257,327,277,
870,989,591,598,485,675,797,284,300,491,482,538,668,818,707,166,292,990,010,
806,132,410,699,673,382,100,888,294,408,976,905,026,919,732,550,950,282,906,
017,127,582,511,185,638,541,493,736,583,539,919,279,562,310,435,853,832,699,
031,422,088,449,817,460,684,881,275,948,041,695,963,417,867,212,721,941,315,
432,753,248,609,228,200,522,029,957,670,502,004,167,890,813,911,128,242,632,
066,177,572,046,094,211,710,997,007,665,146,441,371,830,036,314,445,026,298,
809,112,097,785,367,321,859,375,144,626,958,515,793,416,327,728,706,281,678,
579,602,269,974,800,645,315,082,703,327,499,955,330,975,583,358,233,139,199,
820,650,323,989,698,955,769,749,382,367,110,295,874,700,936,696,093,047,019,
922,985,281,914,265,047,269,597,547,425,862,240,029,482,197,417,240,846,506,
217,802,985,027,207,054,276,881,355,946,886,280,401,100,922,159,515,095,668,
043,457,534,195,875,310,145,023,127,193,668,359,972,786,128,826,920,243,518,
054,538,087,796,714,744,120,979,576,307,916,323,737,223,965,874,249,792,384,
648,379,724,267,331,544,362,961,504,321,046,141,738,613,325,739,192,847,751,
331,965,220,057,149,772,794,283,250,022,847,801,652,464,742,620,982,555,820,
808,989,564,282,279,889,985,413,383,266,100,987,801,489,312,549,620,332,597,
085,732,222,120,787,077,339,233,581,039,462,303,385,098,539,222,976,197,646,
897,095,815,843,721,360,645,025,788,932,654,078,354,823,578,491,032,775,259,
650,235,421,798,247,344,421,062,191,675,692,863,515,831,521,047,780,145,454,
634,742,087,715,992,753,300,996,881,297,406,222,030,532,515,390,528,240,585,
434,440,721,103,496,254,073,654,647,328,903,287,533,244,590,350,959,894,479,
943,533,469,633,430,960,581,742,197,076,611,460,762,126,189,646,000,316,863,
530,879,241,209,423,452,617,120,424,163,620,227,815,506,723,901,695,197,249,
175,405,287,002,093,851,755,973,620,568,854,443,717,360,711,724,981,461,554,
248,706,729,214,133,801,731,490,929,536,913,542,108,650,360,042,816,325,006,
215,081,833,489,295,676,222,978,864,954,467,843,369,276,406,058,160,529,620,
578,868,845,805,778,251,606,306,637,622,238,200,070,418,873,716,148,478,516,
547,181,309,173,792,194,396,036,019,760,383,101,202,105,735,429,382,694,479,
084,329,292,140,410,573,808,136,864,904,603,323,651,676,970,673,953,281,007,
558,426,231,393,243,787,223,803,423,594,130,242,189,016,078,454,319,582,820,
981,928,188,894,694,043,870,422,992,805,838,711,235,339,604,145,966,401,765,
510,761,702,424,233,798,146,062,553,765,379,585,398,724,885,093,558,442,871,
995,306,537,631,054,016,848,662,121,905,354,978,152,381,167,367,255,269,772,
839,433,352,931,423,537,881,540,312,003,439,562,684,952,407,761,675,543,236,
499,859,016,461,784,358,822,600,371,601,592,237,724,939,158,041,815,340,764,
851,024,621,822,258,935,675,011,530,974,291,078,916,830,894,293,891,119,232,
732,396,754,353,821,091,605,201,397,060,847,156,508,557,619,186,792,567,038,
202,455,850,620,646,052,593,240,250,692,637,085,320,864,984,298,088,965,557,
422,136,845,473,853,070,179,454,208,356,292,311,007,755,912,781,554,177,830,
456,153,235,886,819,102,922,135,305,998,021,338,296,394,850,624,609,508,591,
985,327,260,062,925,274,435,130,894,495,451,129,861,571,207,207,142,202,620,
042,129,653,990,471,941,361,915,939,346,443,134,126,068,127,914,470,622,266,
818,707,064,534,763,611,834,650,642,414,058,950,786,042,739,799,041,911,447,
370,919,218,015,194,574,767,895,124,087,292,530,457,547,727,343,289,345,811,
953,081,633,229,425,682,222,077,046,867,694,513,736,702,835,488,681,795,318,
834,127,537,722,749,556,512,113,632,680,174,825,391,529,027,759,060,301,589,
768,120,046,125,053,490,829,373,766,136,643,020,579,294,522,837,048,727,971,
652,659,002,718,500,275,808,578,279,741,889,432,151,777,751,048,727,796,797,
720,618,283,164,164,095,672,654,379,404,186,488,688,537,547,561,736,508,756,
605,379,815,886,651,491,915,209,775,910,475,532,762,908,409,593,809,055,139,
520,334,203,454,418,211,452,736,289,893,070,201,396,985,489,812,850,534,694,
741,086,212,565,126,331,588,101,559,851,751,827,430,557,241,659,199,706,958,
325,431,814,564,704,549,192,805,947,300,656,084,399,258,873,447,808,786,802,
212,535,213,750,232,839,484,653,435,014,126,354,223,145,286,635,479,457,051,
936,512,448,835,791,311,731,503,339,410,755,296,657,877,167,978,259,891,831,
534,232,322,301,034,544,404,616,967,519,800,864,728,350,606,631,668,039,606,
027,550,614,766,595,256,262,885,689,531,347,671,912,979,111,067,133,136,916,
593,398,108,075,158,086,986,864,445,311,317,070,643,094,384,240,378,850,908,
705,911,943,784,964,715,266,082,460,838,575,702,674,700,920,649,617,803,957,
744,195,636,971,410,396,512,763,559,736,913,844,276,664,566,355,199,147,700,
435,742,627,114,745,252,672,975,260,070,658,655,823,853,934,752,125,615,124,
192,858,019,812,951,494,727,177,940,851,679,667,003,908,781,064,417,817,083,
410,400,185,273,673,013,595,411,444,452,123,901,923,774,137,591,788,937,653,
297,174,820,987,763,681,843,440,413,459,634,770,872,069,285,340,348,896,333,
423,617,759,964,677,833,493,934,961,292,004,002,485,908,333,778,521,624,290,
630,193,573,542,127,425,118,223,579,733,520,757,104,763,537,699,149,483,505,
833,270,825,159,371,882,424,056,129,820,903,130,097,627,215,441,925,725,921,
637,703,999,497,438,317,960,797,848,816,720,075,229,596,280,752,274,393,941,
078,067,149,795,010,993,100,948,154,281,639,580,469,858,846,243,944,217,451,
622,467,089,794,449,400,692,334,471,193,161,225,343,130,472,789,759,254,171,
015,888,340,089,368,222,519,956,854,201,718,897,449,197,984,705,748,919,314,
288,571,306,141,062,048,465,950,454,528,240,186,124,560,216,454,065,601,719,
329,350,005,956,993,465,849,221,836,041,365,674,408,067,526,065,464,765,117,
376,438,496,096,418,555,284,154,648,610,477,077,085,183,058,426,996,321,313,
633,644,150,442,015,692,002,601,731,658,413,255,923,729,962,504,229,021,914,
249,892,991,045,073,234,560,135,603,751,456,223,258,406,703,692,242,243,935,
925,178,468,338,914,431,540,928,276,207,808,573,340,462,721,520,342,174,663,
675,582,037,579,491,999,443,192,971,182,965,145,883,566,879,341,948,055,582,
896,130,408,671,247,708,714,407,334,817,318,266,750,450,954,438,954,534,690,
947,895,449,615,474,360,451,652,528,828,115,293,728,424,566,393,446,240,772,
887,009,647,848,112,875,053,164,766,195,944,338,430,799,297,684,750,020,882,
123,825,283,249,960,894,468,882,108,902,091,822,198,472,121,427,391,986,205,
664,689,823,083,539,681,547,855,523,760,685,056,534,056,229,105,393,633,546,
442,793,021,695,208,481,980,380,586,215,474,666,999,912,009,765,660,453,252,
951,194,054,536,000,141,514,739,387,091,273,678,655,202,415,573,277,755,269,
107,411,658,114,814,464,335,107,531,438,961,531,303,026,664,966,843,907,122,
162,830,918,879,341,968,161,761,372,474,031,054,609,076,659,649,082,759,526,
459,600,921,766,088,842,616,386,259,463,048,301,288,220,860,815,870,288,090,
501,191,042,674,240,285,463,793,206,508,889,953,046,951,932,116,853,812,364,
251,774,185,798,140,504,601,305,487,258,143,242,592,652,262,254,491,624,196,
597,763,582,587,408,705,150,691,659,753,680,132,086,876,748,035,039,922,734,
850,953,770,324,377,303,931,435,470,234,441,815,191,391,298,551,729,882,907,
802,901,555,895,179,807,832,401,518,924,300,274,013,871,228,947,238,261,828,
097,404,625,424,881,223,759,510,810,178,046,684,354,798,517,814,377,644,804,
898,568,132,649,598,763,875,811,814,900,166,210,499,133,320,158,482,891,109,
672,383,208,023,830,889,198,179,256,884,619,312,073,251,119,997,337,098,257,
949,059,932,576,149,596,702,560,573,602,446,005,665,324,096,447,103,811,892,
200,659,944,333,696,545,712,050,616,492,840,410,849,717,657,688,045,839,802,
381,069,862,497,350,765,687,763,687,653,889,733,989,098,022,377,818,933,089,
103,412,623,555,905,935,080,211,888,859,193,810,294,272,935,386,498,073,378,
570,822,466,477,877,412,740,942,411,621,290,684,501,741,782,508,508,831,088,
781,530,124,704,500,093,521,345,095,634,313,371,931,215,811,014,595,202,258,
645,632,511,540,873,742,564,935,098,860,067,258,927,706,748,224,942,038,699,
208,959,626,560,805,454,767,284,597,783,374,286,664,957,401,890,558,202,029,
859,498,943,273,521,069,562,876,647,873,250,911,385,061,662,379,965,097,146,
527,446,693,545,122,859,813,379,249,020,438,184,703,686,962,633,463,003,842,
043,630,911,499,823,194,562,962,656,461,660,574,574,370,759,016,417,866,232,
655,526,477,204,831,621,813,503,049,459,294,045,424,316,775,267,064,035,602,
787,551,745,411,388,377,680,244,502,565,089,613,000,078,817,250,965,290,163,
934,296,458,948,246,336,281,282,794,713,623,898,464,864,860,737,255,604,515,
348,277,490,596,166,027,442,162,677,894,340,959,194,770,126,196,573,444,816,
928,156,123,897,643,017,428,643,339,499,803,489,849,061,690,164,801,529,781,
868,926,160,230,085,815,359,995,027,742,884,599,994,572,063,871,056,281,890,
479,910,544,501,285,915,043,978,458,486,985,856,177,713,132,171,265,192,172,
843,840,035,680,905,154,672,461,952,450,629,220,476,122,290,587,150,122,432,
394,905,886,426,462,985,642,722,455,468,732,103,979,469,082,670,273,108,069,
381,278,000,032,901,367,478,349,396,778,398,651,665,137,425,373,249,981,204,
158,948,679,798,147,912,473,938,185,148,818,795,536,289,003,243,088,769,897,
296,961,733,885,897,280,812,388,644,154,285,324,402,552,603,487,526,947,939,
250,664,678,772,976,888,221,112,072,171,976,971,177,455,125,627,818,820,452,
282,873,490,018,675,792,572,647,332,945,850,862,062,453,672,997,698,299,433,
225,276,205,840,390,125,075,045,544,050,676,772,751,306,361,577,626,308,373,
155,806,709,770,992,049,847,235,209,699,649,067,170,672,293,151,199,247,945,
845,003,185,357,440,827,871,443,068,436,433,518,019,711,401,681,244,677,953,
773,254,321,834,175,761,287,950,664,112,711,265,628,312,472,207,706,958,992,
010,347,093,482,677,887,085,319,442,539,587,323,184,340,040,924,127,965,859,
727,007,771,432,278,036,048,968,192,508,231,174,802,688,751,140,364,864,356,
910,379,273,410,459,674,966,247,796,949,142,480,402,579,622,168,623,759,992,
645,600,484,143,233,779,617,514,499,184,772,851,064,621,929,377,257,981,239,
196,934,312,245,351,345,406,714,918,172,468,510,291,581,035,376,290,408,997,
435,982,278,690,491,895,209,800,029,185,588,396,772,740,485,858,788,657,926,
888,097,623,429,566,359,582,983,439,509,529,294,534,284,581,321,781,170,011,
036,222,264,744,137,086,275,031,399,560,631,061,193,451,249,528,303,290,485,
009,338,652,325,583,410,685,017,348,258,864,709,802,385,578,318,505,559,052,
132,277,669,110,147,433,586,854,491,664,330,382,379,774,578,963,156,359,757,
551,355,471,098,244,871,907,605,803,574,361,822,663,144,104,704,833,315,648,
049,338,390,717,297,473,481,522,360,498,503,750,698,356,805,888,411,309,488,
917,264,355,903,822,278,184,262,937,589,571,263,189,760,338,809,295,270,586,
558,043,338,742,626,389,761,835,307,980,722,465,528,914,215,622,039,256,526,
431,274,621,202,893,736,084,206,594,099,105,837,910,478,997,293,545,211,527,
387,916,694,924,097,695,244,530,927,262,540,218,227,543,774,714,130,485,682,
605,624,150,990,235,870,852,264,293,810,623,098,127,682,542,416,210,704,903,
927,045,645,410,205,457,565,746,423,743,515,922,892,472,309,853,244,577,467,
702,963,602,961,069,380,419,135,983,040,326,473,868,809,778,125,168,100,102,
096,712,761,834,015,379,104,529,273,616,538,627,235,666,387,731,776,636,724,
702,789,166,541,277,869,774,867,631,525,294,325,567,567,349,028,740,266,142,
950,561,845,407,641,618,756,211,824,367,911,098,929,347,935,268,753,574,840,
860,004,961,730,381,813,776,892,636,805,653,468,348,573,929,787,525,566,410,
283,283,091,806,143,883,087,715,032,960,899,033,287,647,474,922,425,576,175,
596,775,068,198,831,091,114,552,408,352,784,653,496,604,717,102,385,759,234,
879,250,937,792,879,353,393,837,247,277,341,197,108,499,998,406,868,015,752,
653,345,876,454,060,550,983,879,834,397,862,148,386,062,198,168,097,456,651,
258,328,499,094,816,882,747,111,585,411,436,900,401,902,289,560,284,826,456,
401,592,599,583,733,156,017,923,441,536,009,612,992,048,942,293,338,450,880,
228,985,250,498,217,596,003,151,498,701,729,277,404,029,202,261,621,857,381,
883,295,513,946,755,324,278,336,677,160,399,020,403,574,030,929,008,590,261,
127,025,341,536,712,853,523,098,327,591,135,188,215,557,165,071,039,876,207,
844,608,805,694,938,860,100,538,660,590,939,685,138,601,588,160,016,370,190,
263,671,532,019,011,188,569,918,178,143,893,229,554,187,308,985,155,897,676,
508,656,218,725,064,708,283,072,864,101,916,648,668,804,827,798,940,294,129,
819,241,357,213,337,429,085,012,083,615,618,879,011,730,863,934,005,811,074,
826,133,328,745,248,921,365,791,989,512,125,226,425,481,711,267,752,250,153,
594,977,216,096,604,547,875,316,179,126,340,746,145,819,668,947,673,155,785,
048,599,221,102,808,751,368,509,190,198,470,279,792,563,701,203,706,193,434,
841,577,526,496,701,843,986,871,614,786,392,251,590,342,450,136,922,709,798,
941,624,700,914,840,505,386,811,453,128,914,851,144,003,042,036,820,415,224,
556,622,590,285,457,516,872,614,019,147,078,553,055,272,945,161,107,672,222,
436,091,203,647,261,632,427,213,028,004,692,394,883,608,208,039,045,081,126,
588,575,760,238,172,351,752,478,811,028,293,337,124,863,406,567,403,550,414,
501,459,356,847,110,418,042,736,907,528,719,616,046,665,288,298,271,793,979,
643,490,083,142,565,794,766,261,835,114,766,617,102,193,389,472,842,766,294,
502,192,413,228,095,605,607,218,354,805,713,256,559,538,181,456,605,149,859,
100,180,828,639,635,920,891,805,100,107,498,205,922,802,169,893,081,451,086,
839,755,958,143,221,470,307,250,262,984,195,862,014,379,626,233,388,375,910,
813,833,710,891,303,011,416,251,615,038,287,921,685,099,819,681,790,057,617,
157,710,590,204,369,370,953,500,952,954,516,876,644,321,066,124,893,352,659,
782,528,670,145,910,319,742,051,556,144,090,214,452,167,801,874,290,327,671,
565,401,149,546,594,064,906,892,338,616,373,241,170,478,939,581,299,706,367,
606,741,436,279,547,646,384,064,064,278,550,602,395,881,591,646,960,460,062,
014,062,773,582,348,169,964,017,197,659,879,922,537,999,723,736,967,010,318,
863,237,566,088,277,512,908,449,993,709,652,229,609,836,975,924,284,969,440,
359,217,493,549,109,576,455,168,917,594,073,472,026,233,840,255,849,822,884,
440,680,623,086,033,168,029,012,650,040,045,254,792,211,631,677,268,836,805,
590,065,219,415,870,806,490,593,983,516,909,470,544,992,964,237,286,280,327,
491,658,979,818,853,125,808,764,968,711,249,630,394,602,669,888,902,609,404,
025,310,046,591,470,356,382,409,603,346,703,006,017,721,704,601,600,570,863,
374,221,656,538,945,077,540,927,728,411,871,504,767,359,413,883,589,571,140,
744,629,401,406,987,967,341,649,400,190,365,306,356,000,542,126,490,682,377,
797,972,924,205,084,794,676,729,696,851,911,271,376,885,978,589,778,751,139,
456,942,085,000,619,828,045,846,402,438,960,146,911,875,285,785,588,353,344,
721,828,726,532,897,083,996,192,860,774,273,716,294,835,855,578,439,790,114,
376,711,091,429,758,962,702,857,480,416,746,968,690,712,628,734,864,325,635,
820,451,390,400,607,257,178,499,851,485,311,320,711,707,618,825,578,752,746,
514,727,008,447,520,340,245,102,972,249,449,268,641,819,183,724,974,565,809,
216,153,092,912,956,852,790,083,147,311,792,900,336,072,764,317,183,125,093,
231,383,790,543,723,963,215,533,428,186,500,999,650,893,355,657,849,680,608,
228,148,032,258,389,580,320,278,191,783,456,286,710,454,679,237,761,710,161,
553,877,460,960,344,481,454,475,836,357,995,707,464,398,758,000,222,516,952,
340,991,511,409,282,590,708,061,652,525,734,856,728,330,105,023,097,761,080,
537,714,066,019,899,355,341,507,340,225,957,288,567,398,623,957,567,542,762,
168,186,686,625,858,226,622,033,141,667,587,475,089,695,852,947,414,499,438,
920,649,733,239,114,108,406,348,310,321,126,518,456,553,015,756,652,471,142,
883,483,754,240,807,860,112,897,627,091,622,676,847,345,985,811,205,270,405,
090,354,125,675,818,251,508,814,244,175,554,329,832,468,569,196,389,136,027,
817,161,733,501,892,989,470,383,725,562,021,405,802,812,528,469,866,885,577,
231,952,991,177,310,022,054,350,615,393,280,781,418,697,575,158,720,714,051,
625,633,945,864,606,336,667,062,283,713,888,486,861,668,694,627,268,632,210,
574,973,975,121,997,790,667,593,872,793,453,079,394,152,226,214,902,859,597,
143,956,274,194,739,227,977,712,238,782,877,085,490,149,124,528,503,014,470,
025,522,800,407,682,684,852,512,308,935,942,446,804,685,942,473,359,788,172,
536,979,452,232,932,935,960,389,236,520,097,986,976,177,976,417,234,577,438,
113,690,809,755,784,885,626,787,030,686,310,759,054,624,476,285,831,246,142,
015,338,936,488,430,033,369,704,883,430,926,655,471,012,797,619,262,684,104,
489,673,171,518,286,050,644,950,256,725,639,691,961,032,911,765,217,476,276,
994,995,494,306,462,910,396,023,934,521,876,709,952,296,378,633,100,038,625,
960,683,745,288,380,988,798,718,787,276,427,911,100,663,348,197,839,935,462,
037,837,888,266,549,039,563,504,138,172,395,029,415,679,435,192,535,751,588,
506,845,213,816,263,197,495,058,347,242,615,948,408,370,440,925,560,620,681,
867,853,313,721,051,349,817,695,182,153,152,170,520,774,922,626,447,183,628,
986,706,269,734,181,110,936,172,433,672,911,743,740,342,512,397,655,182,837,
336,377,338,407,434,747,995,340,278,041,148,628,306,435,076,719,509,399,124,
287,391,343,853,618,042,794,061,928,019,753,824,071,891,718,041,867,871,656,
862,866,027,051,880,609,392,993,063,375,576,980,582,091,850,164,544,809,399,
951,453,742,928,686,970,813,250,514,041,053,623,262,393,845,069,044,342,003,
998,633,360,000,506,234,509,269,520,485,583,598,348,192,722,807,400,114,145,
508,432,192,544,191,555,359,321,359,956,092,258,814,298,613,822,294,064,474,
015,293,147,516,702,713,082,340,447,832,017,981,718,558,396,740,867,636,683,
616,274,747,725,023,185,236,670,674,495,435,989,433,176,210,732,768,011,376,
705,906,863,939,562,838,160,983,407,704,327,601,583,384,016,268,339,535,514,
883,257,800,571,049,442,339,312,118,390,001,868,135,183,920,074,145,496,700,
269,565,580,908,594,651,219,129,018,972,503,748,585,028,619,227,482,226,763,
802,799,398,446,717,879,199,353,652,049,754,873,579,426,461,682,441,285,225,
640,984,661,077,772,476,544,653,902,250,672,220,045,937,030,747,520,092,422,
861,703,035,085,508,592,627,702,915,974,515,328,541,097,539,338,455,434,610,
030,788,718,190,626,581,419,292,119,809,303,140,935,733,387,688,560,881,532,
042,251,284,970,508,580,511,451,935,615,951,350,870,269,277,916,254,166,232,
050,036,676,572,729,386,114,474,616,925,401,462,646,161,110,367,131,826,008,
317,674,353,080,783,772,915,040,528,309,033,079,503,705,159,051,900,880,489,
283,017,101,705,705,630,732,264,620,295,254,418,817,675,708,957,493,902,791,
611,848,939,930,487,779,572,042,325,744,522,094,541,481,804,008,566,341,666,
952,202,310,287,476,079,762,989,950,863,353,669,195,311,378,223,744,003,307,
164,450,119,883,175,951,724,562,750,625,733,367,861,371,992,533,890,982,543,
012,113,251,592,728,922,351,040,606,360,485,132,624,427,327,881,213,088,896,
864,255,975,920,973,023,899,843,948,267,292,462,570,814,296,229,706,141,872,
574,156,589,729,259,172,861,125,210,310,690,174,018,676,462,837,277,277,392,
373,661,241,593,380,152,686,273,290,477,602,700,525,577,848,636,885,058,430,
351,183,685,966,219,561,209,465,524,893,634,597,472,896,411,588,897,305,748,
274,088,688,694,728,387,210,494,754,638,462,522,152,908,314,521,480,835,130,
186,672,697,243,793,072,371,064,914,529,364,301,751,898,401,982,336,827,917,
678,831,074,131,404,798,797,153,967,739,630,001,902,027,007,145,417,722,103,
583,419,131,398,657,207,505,284,965,952,368,515,986,538,499,752,033,554,989,
633,522,090,595,897,942,296,886,987,980,034,482,295,623,175,459,989,208,132,
834,815,661,882,700,182,555,974,842,760,940,001,395,232,443,846,700,124,556,
959,611,025,626,478,488,551,739,435,647,292,959,921,102,142,254,938,711,263,
121,286,317,835,146,836,030,443,047,295,099,139,668,327,330,715,577,011,764,
341,400,958,256,286,288,679,221,280,465,442,446,358,877,592,200,456,373,569,
259,976,180,166,880,628,412,428,119,439,157,722,718,448,440,737,364,461,524,
118,132,531,424,759,193,802,086,973,316,480,503,357,264,644,257,581,907,838,
073,484,670,035,999,065,671,836,141,396,855,928,593,752,892,876,198,723,258,
122,993,703,978,363,061,228,538,991,528,401,163,655,028,479,253,402,872,692,
552,278,524,322,270,163,691,536,897,700,696,946,358,812,796,463,664,130,058,
456,576,065,508,873,366,185,274,720,317,541,682,319,212,782,554,272,350,359,
354,565,573,548,990,543,399,208,417,660,908,669,542,829,631,406,851,633,239,
178,450,137,446,688,840,399,640,840,664,719,757,637,286,526,045,368,209,518,
840,023,991,755,076,539,764,883,974,212,843,752,659,763,242,817,485,288,240,
021,752,220,186,825,014,650,540,584,897,527,569,090,614,037,403,806,653,018,
533,798,781,814,762,427,402,854,815,033,673,975,879,521,271,008,342,787,592,
843,452,770,467,034,612,290,143,470,251,628,957,360,394,967,972,386,126,330,
631,213,127,096,185,036,352,195,703,387,072,425,529,836,710,284,064,845,071,
980,810,123,392,248,009,558,271,225,049,850,153,551,738,849,617,935,259,027,
863,564,221,846,197,770,998,317,205,981,651,070,569,448,512,224,149,190,946,
607,615,542,159,984,356,510,409,957,173,215,797,091,227,107,398,880,034,737,
539,674,908,323,257,286,987,012,057,939,581,359,491,064,088,500,410,066,292,
344,936,780,250,707,834,428,197,030,622,838,738,547,768,108,364,292,629,748,
035,107,360,641,515,743,920,363,728,787,373,290,312,585,326,115,704,160,689,
471,038,436,042,560,415,533,881,371,829,313,122,643,212,151,502,321,986,282,
815,083,305,985,723,341,740,656,455,013,192,704,614,179,634,167,626,103,676,
016,557,435,482,722,332,827,710,567,555,954,946,188,152,104,881,364,935,002,
180,437,606,422,942,769,257,781,736,713,535,563,605,107,764,247,334,055,731,
325,809,538,979,173,547,755,221,663,976,717,720,945,497,124,295,518,072,455,
742,805,878,139,169,644,542,313,536,920,010,104,627,706,484,144,327,289,536,
668,224,423,159,047,075,809,501,218,794,259,331,137,017,208,507,135,744,204,
647,214,197,723,333,513,252,931,201,074,239,653,767,531,762,023,939,252,861,
153,095,712,656,017,997,329,980,221,443,542,821,113,837,966,222,707,614,607,
924,101,317,996,530,363,975,764,428,546,665,271,189,154,215,151,442,565,454,
759,050,972,081,313,262,635,183,759,574,127,890,009,310,405,067,159,300,469,
745,380,958,787,306,549,545,740,138,050,335,147,061,307,841,878,656,442,312,
462,540,748,831,671,146,034,032,129,828,387,261,676,915,509,809,833,113,608,
981,389,068,408,329,626,224,329,292,750,174,024,617,154,009,532,215,156,402,
804,185,577,302,333,042,361,197,012,805,400,195,007,830,638,597,888,196,381,
366,079,865,450,393,692,542,666,044,150,724,093,249,273,255,990,942,511,874,
452,025,925,640,554,645,365,705,240,097,399,111,345,849,043,423,837,890,923,
957,736,298,830,422,853,944,274,213,104,446,350,441,896,312,539,686,247,212,
373,554,955,997,711,003,033,193,752,863,039,711,850,456,117,651,571,098,748,
688,743,981,604,659,536,384,905,842,780,389,797,527,733,830,261,632,587,272,
685,903,119,262,154,598,308,403,974,364,487,763,605,185,529,338,465,802,691,
562,833,760,249,990,480,590,736,846,137,988,380,698,861,444,751,240,497,082,
023,413,736,487,792,776,489,240,901,523,485,135,661,378,293,447,559,256,296,
153,315,628,323,168,047,758,073,289,571,388,224,139,530,205,110,327,563,537,
663,397,064,908,202,012,861,913,558,363,038,560,219,906,162,685,596,011,609,
086,180,448,844,713,783,795,905,983,948,757,374,813,873,079,894,987,997,444,
046,269,310,864,597,541,438,414,087,090,277,782,275,798,944,375,068,242,701,
773,968,290,735,079,653,251,991,031,303,184,557,257,318,876,226,780,206,030,
801,565,562,457,399,637,256,297,315,811,662,738,268,601,218,441,019,308,916,
349,665,481,311,436,333,181,368,227,998,056,455,898,770,044,208,477,054,040,
160,860,893,014,765,303,696,821,721,257,569,441,552,592,235,741,717,375,329,
366,860,627,919,578,220,923,242,362,706,322,566,057,049,406,893,238,753,994,
563,033,511,788,114,754,191,497,658,474,851,450,439,475,239,637,536,870,892,
368,573,099,291,183,692,680,611,939,554,604,772,268,727,568,663,647,935,218,
035,746,161,625,160,401,334,291,661,717,676,325,043,262,053,865,157,774,501,
290,133,996,739,581,273,969,683,491,265,758,764,293,504,811,070,454,764,475,
249,839,480,514,651,742,749,413,609,299,301,974,003,460,993,120,012,143,356,
361,170,229,206,534,121,544,868,547,220,679,561,256,874,538,029,395,184,450,
363,878,570,204,287,659,526,882,881,445,826,617,275,165,990,583,320,192,092,
411,500,097,363,557,283,482,741,100,248,606,794,262,460,196,833,909,192,520,
884,268,874,350,546,134,639,037,417,728,709,115,066,810,567,430,792,911,744,
953,424,903,600,824,497,581,284,312,118,124,157,797,354,288,892,581,112,801,
691,927,229,043,245,903,187,965,512,727,104,672,783,876,221,306,393,006,448,
753,989,379,601,671,199,291,391,143,959,226,138,792,390,078,234,870,208,581,
570,126,015,333,755,733,074,495,645,353,963,747,758,590,883,915,440,510,833,
054,854,521,939,695,160,704,176,127,530,672,211,402,126,799,773,394,068,871,
280,565,612,431,172,718,263,523,598,824,525,575,778,094,435,422,895,196,779,
172,885,051,847,586,647,810,523,881,077,542,893,961,836,324,070,065,981,272,
631,637,392,522,481,408,653,307,502,632,248,090,718,581,373,392,131,411,372,
411,536,112,428,483,458,219,109,220,536,449,201,882,436,620,687,459,684,827,
784,630,760,125,789,467,243,883,851,201,811,500,560,803,691,273,031,493,544,
084,813,726,845,644,976,600,296,480,889,923,715,940,861,638,007,177,332,841,
202,249,907,990,989,577,596,960,986,603,728,085,235,773,003,754,465,775,555,
764,761,532,984,876,934,609,233,464,355,811,371,103,895,176,324,545,835,630,
871,786,561,117,350,136,562,440,146,660,127,842,801,774,577,350,990,049,144,
684,946,663,366,818,429,233,739,571,684,693,614,059,089,434,729,674,986,562,
002,021,810,955,499,963,143,323,767,196,748,216,004,497,916,501,714,459,723,
583,510,921,153,887,629,124,504,126,286,701,213,453,269,250,316,057,066,104,
305,741,076,027,838,940,900,913,629,803,182,101,838,625,347,687,106,824,563,
236,391,447,584,160,022,603,075,932,371,880,253,071,373,184,486,705,874,425,
989,613,699,586,319,029,295,983,492,130,148,427,468,048,419,060,156,893,593,
391,900,992,157,591,483,018,108,462,278,843,219,214,542,393,926,363,652,404,
166,208,744,639,229,546,063,882,536,290,401,996,385,189,880,319,345,917,783,
868,001,049,090,895,360,072,892,020,812,808,500,719,933,986,466,842,892,914,
885,907,225,706,043,341,284,328,721,666,359,831,890,053,561,820,187,470,639,
593,443,458,528,499,519,513,762,136,724,994,091,968,471,117,818,516,596,095,
966,873,102,594,432,837,863,462,818,857,265,751,571,151,646,079,628,329,453,
437,717,179,364,821,191,880,097,448,640,601,098,911,596,060,040,015,670,941,
760,321,597,706,974,282,801,917,255,034,153,331,601,363,597,171,752,907,121,
113,742,911,426,531,848,982,070,542,370,280,160,417,726,367,741,124,107,524,
686,890,410,066,104,537,903,598,018,123,496,066,133,391,811,210,664,382,541,
785,852,057,648,264,629,943,760,576,155,077,204,583,847,750,833,769,299,870,
935,527,519,477,094,232,417,477,728,442,412,946,962,805,313,800,848,957,473,
672,868,008,233,596,038,251,647,362,624,941,735,076,490,692,818,516,963,048,
012,388,188,621,513,466,092,135,736,546,433,715,455,019,934,794,276,911,941,
210,828,344,991,889,868,611,109,983,147,916,745,184,083,236,307,609,569,242,
913,418,372,185,992,517,624,272,561,395,175,777,741,072,221,158,270,457,222,
214,401,870,770,116,629,590,028,352,721,492,962,688,211,624,169,285,664,793,
148,979,431,365,233,968,768,642,975,992,706,569,220,968,120,203,095,118,098,
035,417,116,493,426,715,081,871,068,761,589,299,525,911,012,190,298,367,616,
888,687,784,666,351,664,751,060,985,398,561,438,961,750,235,261,973,533,197,
104,599,968,617,885,316,400,116,167,527,866,082,900,109,763,013,558,110,403,
206,481,016,999,470,939,411,957,404,807,390,539,882,279,687,227,358,827,766,
688,327,774,793,336,116,299,139,064,194,164,626,715,806,215,093,081,168,057,
477,759,671,861,081,570,299,890,250,406,044,352,942,645,064,588,299,796,125,
964,900,600,287,522,306,979,094,161,685,594,548,730,854,301,263,179,073,988,
300,343,844,075,505,289,950,729,503,658,509,778,823,563,469,896,218,596,679,
602,225,779,969,959,346,748,267,524,305,389,600,328,461,603,871,243,862,953,
616,443,815,271,431,653,500,310,454,567,177,672,761,660,124,158,791,692,444,
859,451,764,377,958,054,255,752,160,063,868,372,300,722,020,517,494,660,089,
871,150,549,696,250,213,428,944,482,117,223,790,900,061,267,518,030,765,220,
445,396,655,929,944,746,138,188,424,504,647,082,079,664,167,881,273,883,525,
367,985,993,119,876,249,159,208,836,860,571,139,941,097,868,721,043,894,059,
455,797,587,248,698,414,341,387,138,353,904,966,806,953,517,703,389,985,720,
372,677,163,278,031,509,325,781,779,019,202,983,883,844,937,608,407,072,817,
969,302,087,927,246,228,414,469,943,385,075,888,283,901,409,014,570,558,074,
459,028,737,642,337,008,037,492,466,828,361,121,325,687,469,488,547,124,507,
713,440,104,288,042,410,462,883,735,988,965,910,253,421,445,378,500,411,699,
422,627,944,713,746,904,256,174,990,383,988,398,863,430,664,319,278,180,579,
849,289,219,882,917,757,400,211,532,406,833,798,555,779,056,175,297,098,917,
906,222,729,529,131,921,888,026,888,717,365,542,534,416,975,664,021,973,782,
257,702,006,388,742,215,814,849,575,785,380,156,636,195,092,923,739,051,900,
857,892,320,817,551,971,350,804,828,911,068,931,892,214,616,173,554,870,298,
188,717,235,376,661,842,552,526,344,774,735,004,289,634,456,160,052,904,357,
078,338,584,375,472,715,060,658,459,109,945,095,436,422,994,843,601,663,399,
213,581,042,671,447,119,493,533,510,316,412,289,034,725,766,835,477,116,727,
516,148,222,571,331,482,975,208,623,559,530,034,207,395,910,474,741,063,415,
717,774,321,188,396,839,447,357,954,437,727,660,153,613,232,971,870,908,905,
712,326,072,956,537,812,156,303,221,981,940,826,242,544,966,376,427,768,803,
669,095,846,348,208,682,662,301,684,588,674,197,667,371,133,632,651,972,080,
877,259,352,688,113,181,792,464,212,938,775,694,325,384,893,209,587,305,290,
692,213,207,265,493,747,228,385,699,275,308,220,014,978,725,146,395,132,024,
733,341,581,716,366,009,652,161,133,263,564,192,365,232,281,948,516,263,416,
364,126,033,983,845,602,379,925,103,469,697,676,433,322,059,723,799,753,871,
535,777,281,216,740,611,530,466,853,188,776,194,616,068,466,070,291,501,115,
705,154,726,521,658,566,713,885,677,966,541,679,871,600,596,089,533,760,589,
623,679,863,449,637,091,254,083,675,196,443,790,278,151,311,223,454,008,668,
007,669,027,924,997,847,349,286,993,155,521,816,240,301,429,099,731,321,879,
194,979,382,775,661,573,870,252,858,107,043,217,621,594,362,608,875,283,895,
162,892,682,688,291,303,991,207,154,309,852,008,356,344,417,447,459,437,615,
706,173,765,048,772,936,130,458,641,252,796,867,651,002,747,943,347,181,546,
589,821,777,975,095,439,405,447,909,425,408,860,334,367,337,002,548,276,693,
000,713,868,634,305,483,771,346,660,898,014,353,668,653,833,658,247,505,604,
573,943,965,158,467,562,612,478,595,419,904,752,358,619,050,753,894,591,961,
056,870,162,340,948,787,907,904,855,458,682,161,158,998,491,985,224,590,510,
574,998,859,146,257,147,029,418,451,018,058,768,306,990,865,000,972,164,453,
080,743,229,873,307,356,895,020,057,949,805,823,073,544,525,591,904,154,385,
726,195,971,244,896,753,761,449,828,513,933,643,870,945,615,139,016,984,597,
085,784,233,960,594,120,261,708,775,707,747,338,600,162,283,972,457,362,989,
508,589,398,456,491,545,562,226,693,763,512,070,346,487,082,205,621,587,025,
286,523,922,008,774,783,804,553,744,018,926,478,144,686,255,257,272,262,139,
492,177,025,659,112,322,305,371,692,887,791,149,580,793,109,374,845,305,925,
227,932,038,483,531,571,683,116,933,940,739,889,763,732,123,058,099,219,452,
599,521,633,703,272,998,313,290,240,741,162,964,331,138,535,733,621,601,779,
063,958,793,976,328,829,620,347,600,631,960,898,255,566,936,900,101,949,423,
509,901,768,232,795,325,042,720,480,761,182,051,501,311,362,541,575,621,988,
632,507,479,280,348,978,841,829,862,595,139,689,232,103,840,516,064,466,249,
120,048,780,810,125,044,349,539,343,614,581,242,502,198,606,093,125,963,395,
830,961,887,816,928,829,921,475,918,727,964,183,827,831,684,740,866,266,787,
269,090,396,491,744,658,915,771,830,813,421,533,056,442,561,440,292,766,066,
335,224,159,441,533,283,011,771,803,862,026,033,143,653,130,461,070,243,991,
280,183,366,089,542,499,845,394,904,649,044,526,671,442,033,488,853,735,013,
621,003,383,332,247,804,732,731,568,782,037,662,851,891,096,114,644,501,072,
894,402,268,977,876,195,103,873,197,876,498,771,284,181,214,423,090,410,911,
957,342,693,937,638,936,868,314,306,092,796,872,578,196,500,863,321,772,961,
641,211,949,300,266,000,767,049,319,077,924,944,006,244,832,242,953,273,864,
809,218,155,189,799,005,106,250,265,899,930,382,593,141,013,036,034,180,818,
414,970,212,817,114,107,285,001,248,875,733,915,152,018,611,982,431,630,643,
347,957,062,759,883,247,615,841,321,735,897,362,602,091,397,227,324,819,070,
343,325,414,447,615,685,989,010,610,860,036,230,903,627,001,791,201,186,598,
771,793,616,119,365,204,759,618,308,813,589,181,942,818,976,628,313,937,967,
131,189,913,305,370,099,785,896,317,869,098,281,614,443,046,682,670,633,200,
017,716,717,808,810,969,108,727,578,272,472,182,501,836,900,267,251,817,743,
546,435,163,895,419,669,383,469,470,002,020,416,025,529,818,632,265,423,239,
581,189,071,707,198,780,943,663,290,540,581,954,159,656,302,870,362,973,887,
514,538,526,954,890,003,428,841,897,909,501,106,807,196,056,141,676,660,198,
892,862,911,425,447,401,859,221,086,417,518,470,938,346,384,020,039,210,831,
827,127,233,146,385,844,578,555,584,877,923,467,758,935,438,834,699,121,100,
156,271,919,950,565,612,000,732,555,286,120,764,641,405,020,562,155,698,659,
730,786,940,695,429,477,353,708,540,895,653,416,195,059,897,846,972,493,902,
738,126,275,314,378,018,345,266,206,321,225,531,866,799,538,506,820,475,190,
818,312,697,902,444,106,201,375,905,152,211,868,468,425,482,057,317,596,572,
800,750,296,603,907,934,567,654,248,347,894,460,886,257,155,961,200,946,735,
749,403,241,554,787,249,264,261,711,482,482,208,953,322,378,698,666,586,182,
253,489,284,726,225,937,115,859,600,659,623,012,209,274,857,134,952,096,545,
450,947,876,971,693,540,789,683,114,480,683,554,554,958,455,766,755,912,593,
844,133,479,943,737,850,932,600,407,494,372,283,791,543,871,775,995,836,236,
580,072,993,351,426,861,626,327,181,240,188,684,432,762,661,504,205,717,814,
250,193,686,666,733,365,916,324,860,640,346,293,964,805,359,275,296,694,855,
645,461,489,923,268,345,403,363,858,247,276,501,256,246,861,644,934,827,357,
580,665,810,922,634,484,432,604,217,050,972,400,055,545,690,863,705,430,240,
398,536,899,383,753,171,137,356,612,465,113,695,538,674,455,185,488,992,756,
116,355,873,572,026,620,056,896,186,685,427,768,333,948,057,169,494,675,195,
499,950,447,124,276,661,962,574,883,628,386,356,888,412,759,730,972,685,120,
957,482,389,378,811,700,088,322,002,036,994,787,464,098,485,672,204,083,268,
144,407,131,628,165,110,693,170,552,718,159,832,859,835,974,245,076,357,696,
930,114,923,401,962,753,125,794,481,942,975,143,213,287,134,098,501,463,732,
138,814,349,292,170,319,403,676,348,503,045,871,938,418,974,977,329,722,882,
427,362,347,313,703,618,278,195,693,527,752,100,638,222,350,421,492,573,945,
031,254,019,857,099,106,924,682,314,020,470,269,913,067,109,983,960,790,872,
324,640,234,885,344,130,173,931,654,015,361,707,308,754,429,134,256,847,364,
252,967,876,244,082,874,582,445,570,045,731,361,017,146,410,758,065,923,944,
311,615,598,705,519,158,015,847,469,741,040,740,319,749,848,072,788,141,224,
654,255,877,476,825,331,885,898,175,114,328,616,358,750,775,727,553,632,220,
684,179,470,056,948,338,432,295,672,604,275,631,663,032,190,837,348,085,213,
464,470,435,259,420,292,761,677,207,322,797,850,017,637,095,017,932,933,268,
792,825,850,122,230,382,614,609,167,663,560,622,470,856,064,447,037,035,966,
375,576,178,708,731,001,414,956,383,049,252,627,235,990,774,446,609,354,050,
864,483,950,423,819,012,558,823,943,791,022,324,105,686,752,052,113,905,978,
234,431,864,396,071,054,874,689,694,985,776,892,641,766,908,940,076,278,022,
884,345,553,161,999,704,586,532,026,573,458,859,793,313,118,554,441,186,832,
286,561,784,102,489,565,494,886,841,917,633,946,239,434,190,796,464,455,755,
883,211,657,826,832,533,931,002,249,700,295,331,642,153,744,225,819,553,479,
110,350,993,879,287,378,240,331,229,281,756,355,031,282,078,303,787,498,113,
400,750,538,420,328,073,719,174,995,849,268,444,429,807,088,598,387,666,562,
906,959,449,071,673,868,955,674,066,982,030,696,956,908,245,170,541,631,949,
341,135,932,324,099,146,634,889,415,506,261,127,642,271,541,337,332,423,103,
054,429,601,830,838,403,269,491,303,985,318,162,239,627,611,275,190,430,773,
714,497,350,313,396,632,368,073,212,378,351,122,435,156,530,831,385,305,041,
058,662,989,506,765,542,511,285,284,144,226,460,398,139,148,224,369,159,968,
357,089,425,467,947,366,128,449,910,485,899,626,999,870,603,942,727,997,585,
340,488,479,295,735,934,324,835,698,809,955,785,160,062,978,934,290,269,654,
028,650,924,517,453,081,504,573,685,428,639,514,021,830,505,739,011,820,175,
303,243,873,230,091,835,359,329,070,435,234,569,931,887,041,472,963,517,133,
098,292,783,796,533,710,015,945,809,943,926,764,840,881,417,110,871,039,429,
699,997,475,681,588,314,530,698,735,740,042,875,749,849,638,778,246,064,488,
303,382,373,085,487,298,752,127,039,227,167,755,581,084,480,019,219,947,914,
465,692,799,011,773,987,251,935,403,809,954,041,616,689,536,687,560,242,583,
159,300,379,633,417,940,001,579,198,547,439,754,913,295,539,327,696,722,376,
574,666,524,509,316,456,923,604,306,694,853,766,368,182,247,514,143,554,420,
469,490,557,232,281,074,809,153,224,545,426,033,847,265,509,735,457,052,488,
274,699,525,565,449,489,869,576,616,649,160,267,560,740,576,477,387,962,336,
513,376,133,333,299,269,638,474,605,649,117,495,535,418,280,928,069,566,822,
872,679,536,598,297,225,475,078,033,209,030,294,812,758,625,935,534,221,323,
678,745,603,882,747,532,237,266,071,862,053,199,932,736,212,085,288,697,244,
415,767,022,329,394,890,944,701,601,248,459,905,040,032,659,663,788,904,879,
103,773,036,052,779,610,802,726,136,982,783,944,058,423,452,772,082,074,414,
108,599,965,591,906,270,971,422,665,405,794,959,153,388,827,724,115,250,444,
378,458,912,259,588,611,772,243,149,686,758,421,249,480,929,388,413,733,964,
109,667,958,635,274,067,990,018,964,844,799,704,303,160,601,039,704,630,976,
424,840,498,800,139,331,641,475,639,272,902,444,327,925,716,199,063,781,714,
991,491,180,377,897,331,633,548,645,390,517,663,115,751,232,112,801,374,771,
713,794,864,586,351,866,453,292,956,970,656,305,512,021,644,090,590,430,891,
494,706,731,352,401,976,039,442,108,028,584,902,739,234,892,830,551,189,005,
326,851,020,344,077,171,965,875,921,676,072,186,950,720,387,430,540,884,245,
292,608,183,479,704,665,882,384,391,311,181,478,840,982,761,415,017,691,135,
783,550,723,632,924,306,918,234,824,382,851,166,360,936,097,436,908,018,008,
594,785,070,495,658,928,105,040,702,289,878,453,993,777,192,210,028,423,465,
087,994,510,824,310,281,047,590,282,244,640,237,450,918,124,624,161,451,342,
523,914,281,087,596,374,504,700,536,384,592,474,115,776,219,078,062,370,940,
341,629,486,425,849,535,160,775,794,167,332,493,122,633,655,933,683,582,391,
227,494,164,196,776,638,620,161,300,125,712,102,218,327,804,751,442,911,205,
984,851,188,609,045,122,893,139,298,081,797,170,459,870,699,505,194,016,900,
225,984,707,694,646,080,427,146,987,290,004,680,787,576,126,734,917,519,157,
176,422,124,707,130,618,775,862,761,240,546,200,764,450,527,375,918,172,150,
417,403,353,125,756,470,519,564,348,324,332,830,406,528,113,120,713,742,582,
770,642,692,855,207,607,557,615,998,161,489,780,368,774,388,081,671,623,902,
684,992,405,383,094,152,661,324,982,182,384,056,080,320,816,299,435,877,922,
562,384,203,706,155,963,344,096,861,984,840,675,616,004,651,231,999,664,205,
636,094,792,106,892,770,685,766,294,113,538,005,581,233,600,647,171,237,176,
356,911,390,227,408,538,409,131,111,549,785,043,253,869,616,442,087,240,405,
996,785,261,242,822,460,816,278,686,989,117,744,567,914,023,367,382,095,746,
269,220,212,024,972,543,788,365,324,554,705,012,909,419,724,369,013,906,867,
622,224,799,470,170,318,311,427,469,441,212,815,023,140,501,945,071,594,528,
544,356,086,008,633,671,076,994,244,633,432,123,905,391,589,835,763,666,366,
345,301,974,684,139,456,122,479,303,576,352,522,670,724,972,366,596,142,089,
639,726,989,555,617,223,852,427,285,494,550,071,469,576,137,158,332,641,616,
070,701,055,653,156,340,896,115,603,842,690,429,746,552,773,039,556,916,364,
703,055,572,928,756,986,888,376,131,238,336,710,169,598,071,908,773,217,204,
715,886,860,652,032,812,707,491,453,769,522,597,613,390,872,424,023,826,146,
771,417,167,324,623,267,419,141,146,751,209,158,224,706,457,733,480,423,873,
718,260,811,532,331,833,174,438,628,723,905,755,953,144,144,527,916,609,654,
843,275,387,116,417,929,833,487,390,840,373,726,072,726,676,139,029,315,058,
820,493,297,428,621,749,530,202,901,556,507,784,212,221,130,868,838,024,900,
101,224,003,725,328,294,561,780,915,493,790,502,924,776,666,588,263,393,556,
382,576,680,441,525,591,339,968,074,145,020,748,238,223,571,455,364,907,672,
476,934,776,956,032,048,003,974,663,605,182,332,599,901,674,416,938,858,036,
363,764,456,030,896,525,759,602,349,771,542,608,830,654,251,936,991,061,414,
129,168,176,684,766,221,677,807,431,464,732,357,108,050,544,953,421,188,350,
247,335,402,975,417,680,933,787,141,251,198,262,046,737,919,802,068,676,605,
297,301,072,255,713,056,200,645,641,979,967,671,212,049,012,576,801,733,846,
917,400,777,399,695,375,712,501,833,639,691,188,350,162,564,186,013,612,890,
644,042,375,545,701,827,701,655,849,908,637,214,028,197,980,807,319,309,465,
457,944,741,307,831,587,056,043,770,614,653,546,219,526,980,573,900,097,039,
591,418,957,450,664,020,428,726,280,574,697,885,089,612,128,188,080,812,403,
102,127,659,454,893,399,680,665,262,994,966,446,890,805,057,871,066,507,948,
693,911,254,344,455,162,346,123,441,518,411,622,722,198,216,198,806,379,567,
919,409,704,917,947,298,647,249,934,375,543,047,420,920,704,020,002,521,080,
400,280,167,971,559,081,625,661,237,877,526,421,128,154,196,718,666,232,970,
441,164,724,933,792,377,389,487,252,029,672,260,239,359,202,837,571,813,184,
092,813,386,053,147,022,216,113,787,958,587,850,416,972,514,907,256,825,370,
256,195,199,766,725,063,822,308,499,933,758,682,762,568,038,940,220,019,859,
862,284,190,044,424,058,111,902,795,667,648,708,479,884,516,708,680,976,366,
270,606,515,124,732,558,426,457,665,998,334,883,167,394,857,000,548,180,791,
130,027,309,587,350,608,352,786,107,360,564,809,375,094,180,586,021,935,145,
227,223,285,980,520,344,202,288,661,920,327,717,625,052,315,001,555,309,489,
051,043,375,645,053,779,400,733,730,265,618,728,136,607,700,541,828,986,983,
712,372,298,528,600,486,956,963,431,584,352,626,540,402,488,723,748,662,338,
825,121,024,610,427,569,960,962,568,546,825,762,710,841,286,779,925,188,297,
570,135,187,041,233,312,520,339,241,372,555,073,779,603,130,792,226,549,935,
068,302,863,972,822,279,374,093,049,155,075,655,085,492,854,463,651,893,181,
722,975,445,769,944,087,902,751,121,162,525,465,970,915,798,336,524,603,721,
801,787,897,560,978,407,842,700,061,997,035,893,435,550,408,432,702,050,260,
630,487,736,706,891,940,096,321,705,519,599,222,403,744,337,638,368,623,777,
994,489,252,407,968,418,892,157,432,033,996,556,978,823,440,024,636,253,661,
987,448,541,517,619,480,517,119,145,829,690,809,804,109,612,424,717,350,076,
185,122,405,207,807,151,239,184,047,842,490,778,877,821,372,103,023,481,581,
065,693,991,094,136,158,018,061,422,662,489,635,156,972,597,632,922,819,104,
505,475,584,779,224,257,153,614,516,553,078,063,107,174,160,754,287,734,276,
467,234,441,268,316,683,276,347,963,753,653,065,424,391,750,722,529,824,094,
068,296,774,208,365,940,204,275,549,676,292,956,011,863,585,793,806,171,658,
630,450,681,905,911,256,477,392,090,556,309,494,352,566,142,785,094,792,953,
586,774,293,668,513,486,923,377,039,056,289,745,684,458,289,047,526,814,498,
425,326,345,112,395,759,647,632,306,913,579,696,072,301,855,178,724,903,688,
047,667,582,845,419,013,884,232,384,098,168,558,669,941,694,452,773,577,108,
435,782,652,394,639,873,562,739,431,385,341,858,458,417,205,697,234,088,581,
835,426,188,829,270,717,962,887,915,451,770,236,299,571,442,547,930,527,577,
219,221,448,626,118,146,394,541,882,188,935,814,341,955,403,503,365,603,626,
292,137,354,278,388,556,570,232,426,756,305,290,712,384,915,713,187,203,705,
583,871,354,021,260,543,080,234,076,116,945,355,737,199,483,824,980,193,376,
830,008,515,585,640,814,133,273,430,186,794,526,527,629,567,052,462,592,405,
256,986,188,119,834,586,117,849,251,683,594,855,377,223,761,434,698,868,978,
301,832,421,733,289,208,961,176,240,948,211,839,970,825,879,382,380,047,654,
465,789,201,019,139,826,116,802,858,808,305,727,420,848,121,480,758,751,088,
997,040,181,303,945,634,765,773,989,506,007,196,597,710,138,624,284,642,293,
488,684,603,492,087,693,759,894,235,630,554,859,857,455,034,080,359,193,848,
379,455,128,123,211,586,887,790,794,135,266,171,515,114,528,271,676,184,415,
253,462,125,254,449,553,942,761,305,958,932,022,844,091,833,090,712,534,024,
244,308,796,208,091,149,624,141,860,354,673,774,234,202,276,466,961,432,239,
366,330,766,516,416,167,596,282,342,413,785,402,082,115,989,539,640,502,658,
622,784,459,453,740,617,834,589,115,177,890,661,111,036,506,087,026,044,431,
021,318,335,167,105,167,327,608,940,405,270,202,467,839,976,348,957,279,668,
436,724,155,399,499,207,120,175,177,824,042,312,057,231,027,769,322,583,217,
216,316,845,644,116,342,486,732,764,920,340,440,607,437,898,686,079,663,507,
263,871,467,727,134,046,799,485,193,623,635,601,342,721,554,912,489,853,594,
321,536,415,269,244,606,395,463,066,182,722,362,509,739,142,551,835,094,663,
183,784,049,982,956,187,111,400,350,684,939,526,435,927,326,331,957,503,568,
130,076,647,211,038,921,241,065,097,151,134,454,507,433,525,014,870,301,986,
270,834,296,029,386,122,027,873,303,424,596,359,755,735,767,002,221,946,027,
786,346,856,028,069,477,421,674,449,224,601,874,499,250,159,411,164,819,352,
409,715,356,242,216,623,046,678,527,987,945,336,853,128,715,146,001,447,632,
561,048,123,722,297,790,973,331,595,290,224,449,813,931,221,648,352,516,434,
927,228,545,811,101,780,146,731,648,035,467,586,044,103,566,596,983,474,474,
556,707,859,679,796,338,002,486,556,936,211,945,602,821,987,662,683,789,214,
678,826,604,928,815,143,889,287,375,880,925,368,714,246,289,601,672,336,454,
524,586,340,432,883,044,816,404,190,508,712,111,468,021,482,547,143,843,157,
827,047,068,883,532,369,878,248,669,201,107,791,571,416,544,561,158,846,174,
824,981,334,364,284,182,627,792,119,876,858,658,568,074,824,302,905,283,513,
485,592,702,567,665,493,914,543,546,924,031,839,451,821,592,579,615,640,417,
178,642,899,246,457,061,174,363,365,430,095,770,005,498,209,140,379,461,434,
064,422,636,746,852,258,029,930,210,341,030,386,703,039,616,797,962,719,557,
951,645,001,119,994,289,063,436,411,431,133,218,954,147,146,070,364,916,917,
569,519,875,985,379,566,700,555,518,070,122,477,518,503,900,230,657,239,021,
156,258,835,231,401,206,181,289,672,528,648,450,701,369,570,492,334,205,073,
806,809,618,136,937,932,473,449,786,550,808,439,405,686,575,503,666,632,648,
468,286,628,360,589,472,917,198,474,787,604,173,193,353,669,354,593,281,001,
952,075,279,979,969,418,827,472,210,201,205,330,749,538,580,932,851,875,925,
014,678,140,722,725,756,104,598,372,907,665,411,936,306,343,336,193,290,750,
093,051,908,684,481,695,501,387,493,786,864,058,211,502,152,765,886,390,589,
205,234,295,583,595,273,018,919,819,977,538,678,964,080,214,834,096,815,256,
447,878,380,969,627,076,978,725,625,161,826,774,954,643,151,256,337,421,138,
971,232,100,662,992,816,055,262,157,762,008,241,514,608,328,024,597,267,102,
644,296,675,533,752,169,060,658,953,785,499,232,168,062,938,868,094,358,133,
775,635,494,287,503,680,925,253,763,112,480,048,292,638,552,248,198,681,303,
247,167,581,068,953,498,531,992,279,077,740,459,812,987,281,528,347,948,535,
841,182,241,727,383,055,393,166,218,888,432,437,372,100,693,539,116,175,849,
420,644,064,277,171,864,393,647,438,699,530,551,559,059,060,927,976,862,657,
901,604,740,357,905,499,868,279,613,103,012,246,798,163,964,424,953,699,862,
352,479,087,533,032,788,406,995,208,057,510,564,251,418,147,553,918,391,045,
536,952,883,769,786,262,221,366,224,980,590,508,398,326,628,713,202,063,395,
435,911,386,295,351,040,566,141,220,655,870,996,900,578,801,318,894,198,317,
318,561,663,532,296,368,283,186,852,713,817,452,718,951,385,894,908,391,072,
202,248,209,590,367,140,496,434,455,191,437,372,206,922,129,038,645,213,589,
249,253,802,665,303,125,183,875,477,292,943,300,266,725,333,436,199,270,947,
881,067,059,129,575,414,934,641,655,661,234,069,038,147,473,992,009,255,363,
137,707,496,138,772,563,448,633,724,145,304,875,638,818,271,905,849,139,568,
993,294,454,542,399,078,261,560,256,499,610,416,472,265,560,031,160,280,284,
143,594,339,250,105,101,826,228,894,317,747,241,151,602,880,318,255,410,974,
096,406,504,843,883,864,837,150,510,405,012,338,712,325,222,142,723,840,557,
759,524,455,967,150,113,879,037,228,115,667,003,515,119,448,107,110,115,174,
133,207,052,071,795,241,665,765,329,908,816,858,458,673,375,154,692,259,472,
153,706,797,202,686,134,033,642,849,708,761,351,268,248,569,364,863,098,048,
986,860,649,181,391,174,383,059,147,829,765,209,962,145,186,991,178,981,887,
030,433,390,952,362,816,001,093,895,283,590,358,129,683,430,008,165,537,905,
250,714,675,717,637,699,819,666,746,674,761,385,816,178,759,099,661,628,452,
846,840,413,256,790,813,066,919,886,420,156,313,489,049,392,374,183,866,185,
267,589,819,787,535,759,053,789,080,922,337,041,666,796,857,539,748,691,726,
023,095,437,060,475,208,336,047,044,547,279,791,620,916,534,756,347,318,125,
362,825,495,426,581,648,438,795,393,703,467,909,568,542,834,683,265,991,034,
709,345,907,924,482,284,337,353,506,527,084,850,677,772,300,452,300,069,096,
950,983,223,771,138,986,034,936,669,684,025,484,585,461,549,416,300,464,096,
167,048,130,292,615,985,839,046,073,546,710,959,557,191,935,425,705,978,611,
392,306,183,757,283,131,586,761,989,351,944,591,862,732,605,930,508,588,137,
462,991,968,214,333,484,200,465,028,008,375,736,540,926,453,741,425,732,241,
722,760,114,287,573,996,113,122,546,132,420,656,495,583,421,722,900,060,299,
523,868,143,136,435,707,156,250,371,750,927,167,006,086,768,136,296,455,711,
514,602,366,813,159,977,893,612,303,277,126,575,081,773,955,232,481,102,387,
439,312,565,255,254,028,097,609,806,534,852,412,643,181,820,032,483,423,720,
775,005,476,392,571,072,166,765,124,413,276,951,127,121,684,123,654,085,302,
218,858,664,228,716,268,689,894,502,179,490,445,801,003,439,542,527,663,160,
900,578,236,210,499,057,052,881,979,548,652,173,697,280,986,652,464,441,824,
816,976,390,843,349,777,466,991,745,872,851,873,910,007,011,763,732,967,868,
237,301,857,281,482,193,605,412,897,047,973,858,181,309,524,550,993,855,568,
147,281,999,919,693,386,916,929,303,851,705,709,851,020,137,324,720,026,050,
416,289,588,632,269,923,681,879,510,492,127,632,161,721,614,014,345,634,982,
675,530,581,394,355,917,696,972,935,643,828,622,409,130,725,341,177,485,898,
713,986,901,343,889,168,974,941,700,125,771,316,898,484,471,583,142,452,865,
323,765,201,274,681,290,586,531,917,239,691,348,278,253,604,531,810,742,159,
512,061,004,572,273,503,200,078,645,229,725,685,377,967,998,698,587,836,571,
498,941,487,544,289,510,805,879,618,237,654,125,632,646,333,104,672,472,668,
171,030,932,655,904,332,069,531,547,257,073,617,539,050,504,054,300,062,801,
306,771,159,368,190,362,800,554,135,829,565,347,501,761,850,415,673,487,970,
465,689,637,598,453,613,288,294,893,810,811,664,977,890,650,239,018,389,798,
538,823,033,226,794,150,824,337,515,411,335,117,026,843,378,304,480,067,862,
002,237,507,971,559,187,694,095,660,180,776,338,239,247,068,207,232,757,540,
080,323,029,894,197,338,491,892,296,245,942,057,469,734,362,161,060,499,483,
467,976,883,002,612,268,090,181,209,262,028,450,150,081,603,127,327,145,337,
826,485,278,915,615,045,727,366,851,480,445,893,939,496,299,275,932,805,134,
511,284,638,240,688,743,266,572,858,226,546,733,527,650,036,972,418,801,481,
848,900,814,153,337,205,040,303,870,704,597,115,740,480,041,964,710,896,257,
694,848,867,865,319,781,143,846,112,115,329,049,259,252,698,379,663,487,538,
247,538,215,658,844,941,944,676,208,747,968,128,011,309,855,899,988,959,246,
030,503,447,561,088,503,662,547,467,099,465,394,248,743,494,680,595,206,306,
471,459,689,698,696,882,028,270,178,700,079,468,076,197,094,562,907,957,949,
433,778,677,374,011,465,693,971,720,960,974,861,006,973,401,950,432,598,170,
833,378,459,164,316,809,695,932,318,157,391,364,982,131,477,351,293,937,889,
286,442,235,553,591,645,953,547,819,389,466,145,208,783,776,947,173,563,718,
766,089,959,528,532,370,881,724,457,541,370,767,891,536,465,220,503,431,534,
964,278,501,951,408,272,547,636,654,190,018,428,756,319,427,022,144,957,889,
652,862,453,057,387,056,701,116,601,500,255,943,084,893,883,837,123,303,147,
011,371,859,376,507,037,834,438,971,960,941,206,012,919,470,471,502,856,614,
836,058,115,910,850,749,878,351,499,284,721,584,454,212,412,963,397,750,297,
468,716,564,872,028,653,568,775,023,562,435,725,081,772,728,213,320,036,165,
639,600,925,937,177,577,452,825,307,974,250,105,092,829,900,963,246,419,195,
019,366,008,853,219,005,415,562,079,397,457,454,575,481,818,158,953,026,795,
783,545,189,402,305,397,901,511,482,168,961,556,454,707,810,241,762,154,547,
994,509,534,529,091,816,237,974,272,608,506,345,901,670,562,356,125,225,321,
458,957,499,487,725,103,890,089,493,476,543,963,167,430,974,644,055,796,731,
175,316,424,957,801,262,138,271,419,100,782,872,795,398,949,155,146,270,141,
887,427,225,669,635,424,365,431,327,614,431,358,268,405,809,827,979,385,829,
770,654,727,381,435,182,455,923,249,025,473,516,844,742,110,689,714,118,701,
713,476,891,075,225,726,799,039,935,285,756,454,181,559,913,292,804,458,415,
702,903,933,857,917,483,952,124,014,888,600,271,829,020,690,948,258,311,007,
035,873,264,515,663,755,752,219,633,361,769,932,441,047,408,883,418,209,096,
828,841,425,105,040,978,188,731,404,975,449,607,573,054,032,358,967,416,624,
535,449,551,790,040,927,628,372,842,743,041,911,342,378,627,412,634,992,401,
996,693,091,017,461,203,696,914,245,162,554,535,235,766,119,973,210,182,696,
202,721,834,052,704,301,570,357,610,069,177,354,175,081,850,728,026,031,650,
539,395,241,840,034,804,584,036,227,196,561,329,914,903,270,006,307,334,334,
522,336,026,734,343,979,134,940,747,634,886,960,253,840,827,178,911,798,592,
081,181,517,336,038,782,865,610,777,419,524,796,184,281,829,827,426,013,745,
381,593,451,726,922,897,030,864,561,105,602,109,969,144,663,391,099,120,692,
674,318,835,493,160,211,019,915,459,668,056,041,510,286,073,328,085,386,041,
073,296,476,662,314,929,699,903,810,535,470,687,718,740,956,463,500,459,149,
990,361,107,188,972,249,675,545,544,341,733,790,025,648,025,854,462,791,365,
631,523,476,742,140,204,354,806,589,126,319,137,728,065,197,723,705,583,178,
699,560,476,613,396,692,116,671,716,336,116,834,794,620,135,082,602,169,992,
829,996,160,204,853,217,861,164,432,724,517,217,797,373,216,330,790,694,331,
871,720,909,919,264,696,506,087,768,906,793,716,633,732,148,722,617,774,259,
578,215,904,238,710,028,565,635,899,373,607,969,120,727,902,990,076,400,595,
950,923,337,958,509,371,485,773,904,261,392,985,819,516,164,103,527,283,413,
665,786,120,162,352,731,657,390,233,840,883,327,196,256,062,255,788,830,664,
672,847,487,183,935,587,119,915,500,959,946,059,149,571,553,207,564,173,613,
190,289,915,239,354,602,141,264,414,014,833,983,777,870,837,074,930,192,403,
379,232,205,437,306,381,216,580,687,909,575,523,728,759,754,439,028,018,783,
335,590,599,463,173,857,175,080,304,153,994,659,398,835,343,608,465,709,476,
727,981,188,473,132,503,289,675,801,930,865,318,870,009,892,015,224,551,164,
436,518,300,753,316,384,504,642,557,908,733,300,933,403,176,290,895,138,374,
564,159,161,743,605,867,011,518,155,414,151,179,922,206,898,116,301,546,830,
410,686,094,682,290,412,786,465,842,424,335,220,521,680,579,042,523,050,140,
495,173,658,924,270,791,350,091,042,970,495,671,302,118,430,448,657,277,563,
219,570,761,928,089,774,191,943,154,512,605,523,311,347,683,668,973,665,550,
181,314,416,339,848,961,669,797,486,485,042,879,111,173,634,591,909,472,215,
222,143,001,917,477,034,791,879,716,854,089,606,137,491,426,046,484,369,263,
675,093,286,477,767,174,265,457,349,511,224,053,575,776,612,979,719,374,916,
036,789,876,265,388,965,354,567,687,669,751,779,759,032,302,441,588,179,515,
247,820,439,538,203,416,220,636,814,590,475,543,177,672,395,336,597,647,332,
930,664,227,622,253,611,104,431,843,237,010,635,166,400,242,192,095,651,796,
468,786,038,876,230,366,000,914,616,184,550,057,906,875,720,857,070,702,905,
135,507,773,502,045,811,962,622,931,667,859,279,159,358,405,806,306,404,986,
122,849,046,012,879,601,647,174,703,940,298,432,574,492,572,859,987,972,145,
603,642,287,596,223,714,373,396,859,940,066,768,865,287,069,041,773,346,587,
167,222,010,604,872,589,639,285,613,561,239,503,382,821,247,454,546,165,220,
454,004,888,413,048,931,020,610,383,031,438,558,842,910,874,898,629,815,583,
872,895,803,778,787,657,881,486,368,380,275,303,072,078,451,387,880,563,718,
460,519,692,265,417,862,062,223,329,440,338,595,097,852,217,833,308,113,822,
858,209,543,599,833,190,380,424,351,682,913,924,643,745,546,542,686,040,257,
344,178,817,842,836,482,306,708,680,903,907,482,345,658,907,944,135,749,565,
128,654,651,684,044,222,290,772,042,398,568,549,452,744,294,130,027,163,306,
080,905,146,447,364,924,851,520,768,754,997,820,101,291,845,613,637,408,965,
133,264,267,722,360,527,059,881,377,653,698,372,648,357,024,725,659,218,515,
877,778,779,253,089,580,114,356,270,879,953,677,914,192,170,723,699,336,002,
227,035,443,979,685,388,838,433,536,109,500,270,469,153,482,923,462,877,823,
425,383,794,165,875,224,308,590,768,666,517,463,613,734,829,105,274,982,926,
581,165,846,282,199,250,705,468,252,820,457,475,551,603,674,116,898,503,454,
459,371,329,947,199,206,814,647,750,291,378,570,590,641,742,411,180,239,097,
027,420,035,928,810,686,274,003,888,201,549,105,464,051,976,416,804,833,616,
599,252,645,098,219,502,718,230,442,834,249,244,742,157,628,715,838,246,564,
028,354,356,760,346,840,092,926,837,540,381,893,852,634,566,913,487,996,497,
153,445,928,831,912,358,721,529,068,573,854,761,968,671,696,617,336,102,734,
251,160,893,398,903,765,884,312,830,122,506,250,604,948,598,140,021,939,569,
066,303,915,034,804,888,836,945,845,394,714,496,090,197,992,418,800,023,601,
483,039,497,887,469,397,962,070,641,301,201,147,136,098,369,820,021,752,093,
089,915,803,657,168,430,209,678,670,698,581,282,848,016,796,359,066,301,245,
558,141,360,247,621,757,783,020,373,195,875,267,199,948,763,584,765,089,320,
238,089,360,578,458,315,604,503,529,460,189,895,250,849,552,854,964,317,237,
212,274,870,395,770,006,044,132,650,755,983,161,632,899,127,701,497,696,452,
015,185,104,031,903,176,602,192,663,710,976,531,611,555,924,100,645,623,921,
944,504,154,288,354,775,052,646,387,462,332,956,721,209,955,260,108,053,673,
929,853,766,087,689,778,266,679,547,534,375,156,775,125,363,095,169,481,953,
501,817,022,851,431,603,931,916,789,710,065,350,512,332,420,871,153,401,487,
241,028,815,870,299,033,027,541,429,752,695,336,547,513,743,490,291,422,697,
469,305,757,082,248,767,683,229,479,375,941,772,817,393,683,875,914,606,824,
922,482,023,949,965,875,819,160,877,086,293,913,908,284,627,794,518,249,157,
975,865,215,738,992,503,710,783,072,169,327,607,850,952,267,072,287,108,802,
224,183,101,770,961,522,275,150,267,706,802,434,373,962,100,219,824,022,180,
593,233,823,645,289,163,758,923,242,406,298,929,122,008,814,514,965,609,912,
933,972,972,352,101,890,398,631,774,649,635,018,838,169,990,709,279,083,880,
908,250,149,858,619,590,590,704,839,487,537,023,270,551,128,151,600,803,848,
888,785,822,390,229,305,356,982,418,858,182,988,324,654,437,919,040,399,242,
974,356,882,673,661,379,860,133,911,364,605,502,378,814,828,874,504,188,924,
076,456,119,997,764,115,253,395,143,843,252,168,675,464,286,475,192,957,774,
998,146,886,352,239,503,574,937,299,875,108,105,622,295,178,355,507,941,959,
032,463,729,756,535,994,677,510,033,759,130,554,838,589,136,165,150,313,464,
581,954,954,224,340,033,980,330,079,955,427,651,994,782,482,540,084,365,277,
287,847,752,992,247,030,378,810,900,043,841,197,659,348,091,410,294,258,697,
435,032,591,632,399,499,708,990,614,896,770,576,357,416,909,504,621,381,468,
358,307,606,372,675,147,476,966,471,976,034,901,360,240,506,018,348,987,177,
165,198,383,188,019,962,905,070,004,969,500,235,663,017,536,400,998,415,885,
940,668,463,153,182,701,855,357,840,965,775,297,702,574,565,764,467,815,109,
483,369,877,445,189,326,303,688,934,283,323,254,611,843,452,153,506,575,135,
821,870,567,358,219,017,668,298,023,781,816,675,133,463,109,886,722,841,835,
535,291,734,094,850,957,180,119,619,629,072,530,659,798,751,463,253,919,642,
921,500,864,439,364,260,968,749,250,812,647,527,599,682,062,932,248,638,581,
943,092,421,125,362,499,159,645,872,711,376,853,074,943,164,876,259,016,884,
849,639,356,698,454,377,964,964,904,486,628,026,912,228,677,602,924,671,833,
517,770,703,649,678,373,081,967,748,484,133,012,288,205,395,416,490,122,062,
094,413,962,681,186,957,607,161,738,269,825,042,035,098,225,513,562,861,926,
280,057,889,225,394,518,484,519,387,358,959,840,613,408,148,862,650,365,494,
663,778,026,304,457,255,722,782,514,549,040,512,102,344,007,109,089,608,655,
115,143,633,919,846,561,599,130,399,227,536,706,007,580,345,516,935,646,904,
777,082,096,912,103,606,904,893,765,965,968,985,935,337,089,388,149,666,898,
492,181,841,978,751,712,918,561,215,442,675,318,238,171,247,967,886,523,377,
276,783,533,095,306,683,305,544,182,809,257,511,151,084,050,213,220,572,799,
261,769,708,805,266,694,144,257,056,605,215,400,471,643,442,513,245,451,300,
356,076,700,678,109,583,630,711,664,080,527,522,712,248,174,722,310,334,459,
351,777,853,443,954,332,390,410,402,036,301,863,399,505,967,757,478,502,456,
416,416,301,381,981,184,849,238,251,822,083,369,898,455,866,645,593,103,000,
134,608,977,092,958,285,456,411,292,433,347,618,217,520,832,752,393,344,838,
264,520,310,806,082,263,091,793,012,152,139,110,509,700,440,508,404,401,917,
557,037,462,533,830,552,737,031,900,679,589,706,647,040,056,492,686,176,158,
570,246,868,352,181,676,967,196,494,443,269,976,402,527,218,468,236,719,263,
042,004,851,717,760,047,002,810,045,742,916,016,831,689,215,832,034,242,413,
821,876,188,253,095,072,535,369,929,259,997,624,756,604,802,101,710,963,897,
137,253,283,570,634,117,141,711,124,687,359,193,312,546,158,542,166,711,571,
186,645,815,554,654,879,605,649,084,971,502,802,000,093,624,676,283,105,227,
181,977,955,495,126,086,183,758,283,367,538,894,150,325,769,803,732,228,982,
952,317,623,106,327,798,550,920,190,905,371,454,985,483,694,165,426,085,306,
940,405,791,092,777,536,954,419,354,680,004,389,537,162,393,236,598,493,332,
330,367,377,573,053,961,486,243,090,769,905,843,829,271,232,216,204,108,404,
072,251,569,088,685,627,008,736,167,609,230,895,616,608,098,807,734,096,697,
352,868,318,254,080,167,749,743,010,440,926,200,698,412,226,350,372,878,494,
910,880,522,887,348,709,276,061,385,589,999,238,775,268,206,515,343,429,901,
237,932,611,902,161,900,494,630,327,706,172,872,422,218,084,410,043,637,763,
865,169,153,840,366,664,218,247,821,821,939,866,442,953,757,764,588,864,940,
854,243,497,138,439,084,604,095,145,254,185,410,404,931,252,309,177,573,027,
634,449,318,957,178,851,445,141,634,080,278,974,992,272,274,986,684,931,593,
802,744,914,365,438,679,903,826,080,291,938,336,499,171,933,808,004,165,712,
804,581,841,134,107,100,884,706,743,067,777,957,456,733,817,303,237,524,683,
863,192,247,280,643,225,042,041,236,515,814,911,519,676,891,693,422,114,048,
630,002,005,409,316,869,562,039,430,554,917,420,628,263,650,322,198,256,431,
552,366,715,323,993,508,606,676,272,005,871,556,531,178,932,274,700,809,535,
682,997,523,642,482,267,707,603,049,123,977,591,651,787,574,012,963,920,685,
155,683,958,894,047,148,696,112,641,447,743,973,193,136,862,658,712,358,338,
198,497,829,367,459,070,029,639,064,046,940,512,063,366,827,340,869,966,294,
383,057,332,880,828,300,066,900,412,998,551,031,009,528,573,192,427,392,930,
107,823,896,542,504,304,540,218,498,275,219,440,732,143,426,982,583,051,346,
573,598,801,687,673,211,789,737,958,345,478,578,760,920,423,334,342,199,164,
220,882,268,362,666,834,186,848,542,449,534,890,886,626,049,449,170,925,280,
814,428,916,275,429,393,088,493,170,560,113,422,851,319,273,061,985,141,000,
693,199,598,877,521,673,673,370,804,093,140,822,473,641,249,691,359,089,528,
426,430,857,265,150,163,816,521,702,701,107,164,830,831,394,890,269,437,938,
281,598,347,351,692,337,122,477,280,046,403,172,355,826,536,901,387,121,970,
293,918,112,933,463,299,998,178,923,579,628,601,873,460,784,136,630,556,449,
353,368,482,438,765,281,195,775,859,016,076,142,238,221,896,775,992,205,527,
413,404,697,640,397,092,626,201,471,693,928,370,997,095,633,514,805,076,276,
243,585,148,933,922,926,666,560,423,319,611,738,650,567,719,472,235,235,197,
093,585,159,169,113,944,638,248,282,405,125,136,570,747,807,876,868,682,197,
419,395,251,368,977,265,600,969,751,212,556,372,451,671,056,886,930,758,445,
262,610,075,208,741,845,039,916,313,488,654,983,971,656,748,081,135,772,260,
117,463,405,123,034,295,858,848,858,621,216,972,854,413,057,852,245,799,536,
037,530,766,828,188,406,606,425,890,638,240,017,754,467,814,989,438,048,937,
110,606,762,596,973,543,250,847,970,066,539,920,799,186,753,781,793,976,251,
003,592,703,204,823,532,477,238,449,705,519,598,460,877,963,568,056,225,357,
144,703,649,757,116,375,233,803,546,992,981,538,644,596,403,949,421,092,070,
629,644,528,171,053,339,945,450,094,321,478,347,071,908,637,119,341,762,016,
053,883,030,639,894,166,755,905,019,442,042,975,857,953,693,884,507,082,028,
509,589,465,450,844,623,161,813,095,995,701,927,154,657,561,795,885,512,570,
782,180,379,973,589,340,390,152,504,656,742,442,918,892,761,809,434,053,809,
293,100,600,188,698,128,928,494,654,065,698,153,594,763,177,318,905,235,693,
266,015,811,551,013,792,092,718,251,569,373,376,029,189,870,663,877,587,450,
166,906,790,938,283,713,820,612,134,253,528,685,932,703,880,581,396,854,646,
758,501,146,211,320,394,982,175,351,090,109,327,735,285,595,079,210,220,430,
847,712,503,121,011,583,194,714,154,606,109,894,854,884,428,160,027,031,928,
816,443,643,420,860,666,934,058,169,989,692,992,014,891,981,592,619,439,729,
038,589,256,746,901,272,431,659,439,932,923,321,534,368,311,992,101,894,586,
007,561,843,588,530,633,098,362,688,688,037,528,424,510,539,478,912,197,070,
559,121,023,683,738,120,583,436,372,924,383,687,072,907,796,366,920,202,361,
255,117,960,602,440,805,424,688,564,233,149,207,368,230,615,004,638,443,404,
569,002,136,606,514,647,223,240,018,920,805,455,995,028,980,172,098,185,186,
812,534,684,205,743,927,733,643,284,831,563,161,751,008,496,330,083,948,634,
413,085,076,737,686,033,512,354,595,777,447,465,232,653,703,426,868,192,111,
884,942,737,584,471,404,061,199,477,351,950,021,850,809,081,651,120,647,368,
682,534,138,619,108,162,102,085,395,391,558,195,872,930,396,585,298,948,326,
697,298,013,166,599,584,935,341,399,772,628,785,335,240,842,661,571,856,993,
017,364,777,254,541,954,997,289,114,178,827,015,964,914,632,045,202,913,488,
625,820,040,551,046,961,515,951,516,708,491,697,220,070,493,712,016,743,666,
717,248,567,098,553,549,959,031,821,896,636,186,230,859,945,031,972,477,903,
514,972,543,184,519,230,865,217,774,274,255,119,064,421,304,807,648,389,576,
304,544,934,148,830,679,206,660,882,727,682,686,663,758,945,836,129,473,111,
081,363,994,040,253,382,708,013,877,155,640,580,835,712,422,197,918,560,018,
217,143,145,706,162,247,428,607,081,867,329,260,704,878,540,351,815,810,289,
866,513,386,437,058,994,152,025,047,702,880,101,676,582,891,264,324,851,364,
752,886,441,142,003,624,452,816,915,841,298,194,668,032,849,457,657,054,028,
649,356,363,683,685,379,383,140,999,655,784,542,852,176,258,271,750,202,714,
919,647,700,848,694,510,661,572,287,052,919,560,380,814,191,143,065,152,187,
699,720,905,142,950,917,632,702,474,225,096,403,332,515,217,261,110,748,223,
097,704,504,582,281,521,783,271,502,342,327,281,013,397,224,394,499,709,906,
998,103,116,298,619,033,033,194,108,009,062,694,476,178,897,769,973,500,569,
086,036,862,415,864,663,929,399,390,228,261,481,674,865,056,536,989,830,503,
701,047,245,103,028,463,711,979,152,624,040,306,205,902,107,941,673,558,407,
691,799,269,996,979,052,769,360,922,286,504,502,585,388,026,164,916,968,076,
552,447,744,950,454,433,088,397,431,285,719,178,566,455,279,484,563,069,618,
475,635,066,954,971,489,496,040,358,959,791,876,300,736,826,851,337,830,376,
180,450,421,304,317,339,126,078,081,170,948,915,048,272,613,791,673,602,502,
657,500,834,710,001,228,994,428,972,933,138,950,956,695,742,846,718,659,822,
473,681,160,648,001,477,037,538,622,123,249,648,349,420,719,760,061,672,235,
992,226,476,613,010,675,666,975,127,314,407,176,646,854,144,636,554,876,953,
392,320,939,134,756,820,201,063,335,561,856,373,022,642,388,991,580,614,662,
943,366,870,132,440,055,331,408,205,141,889,228,374,771,077,179,371,292,000,
043,531,928,736,206,298,034,226,332,403,463,142,124,806,099,383,556,517,500,
330,822,876,127,910,969,804,245,096,978,712,717,224,768,392,399,866,750,756,
586,275,835,527,992,979,529,019,579,983,181,261,893,919,867,204,697,645,996,
607,269,045,148,756,337,519,978,442,356,544,408,281,265,098,715,332,113,952,
492,213,477,004,777,517,861,055,896,800,475,319,246,795,793,909,436,326,989,
866,343,305,167,437,416,662,716,803,674,594,414,457,180,573,827,847,919,255,
425,489,700,360,635,630,181,257,447,530,873,412,776,445,256,971,518,992,399,
082,965,614,509,921,997,976,918,310,456,809,208,177,573,409,358,673,250,641,
055,275,477,195,009,860,247,551,669,419,683,380,514,694,239,124,943,966,466,
090,506,413,695,245,484,836,907,167,432,196,864,344,508,310,977,455,629,749,
338,576,859,363,905,092,611,044,296,114,996,668,290,454,531,015,125,386,072,
530,036,406,724,601,017,954,356,326,278,261,713,390,246,022,888,431,489,031,
188,626,024,894,024,049,722,461,003,271,747,865,495,695,801,504,622,464,624,
243,130,447,967,817,758,356,789,976,054,497,424,328,003,832,955,115,902,236,
563,540,977,472,075,659,598,055,307,561,049,695,074,247,780,479,115,647,043,
709,900,401,054,079,184,674,349,055,256,267,237,733,263,171,096,707,335,106,
392,742,200,729,138,385,452,106,255,291,134,591,990,293,139,567,912,051,750,
251,305,723,922,271,321,926,908,066,417,141,225,594,553,473,338,394,557,787,
119,434,361,456,106,028,175,256,543,030,911,133,523,482,118,502,845,418,789,
313,081,996,373,622,871,063,500,180,205,090,624,140,378,427,192,817,230,979,
967,970,542,671,647,935,283,467,809,275,161,519,478,737,723,885,307,938,840,
667,063,263,292,364,904,639,473,820,632,768,061,751,822,224,400,957,540,496,
878,063,498,140,587,983,110,597,853,096,379,840,821,872,789,157,275,313,331,
469,337,984,753,688,900,584,541,274,369,482,384,247,945,016,582,562,813,753,
838,716,468,299,001,843,578,105,738,597,162,422,264,460,114,590,552,797,880,
400,897,071,224,155,941,139,321,331,581,018,608,322,623,188,315,083,795,307,
418,247,272,270,646,269,253,046,848,720,633,411,686,995,480,336,851,866,123,
182,383,360,853,768,842,393,917,481,924,350,154,491,878,263,875,179,589,417,
086,510,680,951,216,132,761,161,734,153,452,176,181,062,532,670,222,444,817,
981,110,578,589,180,289,970,640,316,882,757,213,660,035,290,907,188,963,910,
106,784,137,669,005,582,827,403,998,209,475,502,285,147,954,577,211,259,685,
247,647,988,486,920,088,797,869,936,948,771,365,190,613,489,390,954,749,076,
957,924,307,049,989,983,387,483,618,320,898,855,490,350,818,960,274,299,067,
346,328,250,222,790,726,138,488,111,686,255,826,079,054,573,052,527,907,306,
904,310,513,275,654,525,484,628,476,676,348,412,743,547,995,594,979,985,981,
496,533,366,997,829,492,244,554,087,317,463,306,838,973,553,018,803,458,984,
728,856,646,270,723,494,101,017,314,374,914,813,405,979,196,597,493,335,497,
105,200,968,985,514,778,067,239,322,130,488,073,326,818,748,221,558,121,019,
325,092,097,192,749,590,093,183,461,374,930,802,635,045,482,363,521,350,898,
786,938,096,364,439,842,523,065,887,961,085,235,015,106,627,153,726,223,749,
101,288,577,482,892,976,366,716,821,078,895,073,424,935,807,257,714,738,573,
905,915,021,657,989,662,608,531,876,686,890,557,871,405,254,439,467,712,553,
395,685,860,650,869,460,534,121,408,180,922,851,382,470,325,585,271,513,114,
488,369,606,010,923,619,329,900,014,995,926,377,108,238,087,567,145,138,709,
242,012,391,181,554,601,242,440,762,130,832,454,572,215,655,792,359,780,561,
263,029,480,771,909,789,467,270,706,783,241,862,106,116,588,626,035,248,063,
535,954,062,906,263,252,863,082,709,310,874,160,058,407,441,371,094,137,071,
556,536,563,502,221,693,234,954,821,961,094,520,380,016,673,820,495,229,237,
701,314,270,882,706,346,893,783,434,917,607,753,780,372,896,409,059,105,581,
748,634,262,153,023,441,417,247,974,583,044,124,315,912,797,612,689,564,920,
642,515,144,259,712,449,799,132,073,187,753,972,030,693,677,797,976,351,665,
755,836,683,514,386,425,595,012,266,541,319,231,007,596,398,524,053,163,522,
096,568,203,238,642,460,498,358,927,330,595,588,414,576,636,276,899,628,879,
430,743,615,226,503,714,945,359,103,564,973,879,723,780,592,267,404,526,423,
894,150,221,093,716,753,338,815,952,745,717,626,702,642,288,862,994,505,400,
817,685,925,759,325,247,096,509,378,289,835,222,130,134,547,742,956,657,920,
692,758,109,630,312,093,153,805,976,126,164,988,160,547,140,854,211,555,620,
107,619,235,462,791,432,086,193,885,827,988,401,930,056,439,282,628,506,394,
724,000,916,320,835,697,984,652,475,617,009,731,773,422,008,482,017,831,889,
517,871,385,863,995,287,704,799,955,235,476,650,944,782,529,624,188,062,933,
938,398,270,401,361,741,234,819,596,383,676,200,571,124,303,655,391,129,815,
412,095,368,762,628,585,640,952,014,423,210,930,414,240,992,361,202,561,507,
230,528,355,778,865,686,332,235,035,370,161,037,968,206,442,259,505,583,539,
096,047,755,006,131,029,030,125,787,048,095,249,706,958,287,102,063,741,696,
931,677,146,787,889,118,175,940,589,070,683,185,573,456,783,076,099,571,158,
674,078,673,702,952,908,308,657,198,421,669,017,894,008,074,065,873,415,794,
073,950,689,829,136,504,371,187,375,510,224,176,337,415,699,019,109,255,667,
123,336,531,593,120,925,348,975,518,459,244,580,279,045,446,366,115,671,935,
178,476,088,343,335,855,580,897,591,219,106,463,759,549,822,459,970,076,669,
629,046,025,670,336,391,466,245,691,140,888,027,055,081,685,385,440,737,182,
061,086,932,167,196,438,177,143,807,638,127,067,161,353,425,870,192,210,009,
147,896,206,589,603,917,181,192,839,219,072,706,833,483,392,235,106,750,771,
413,241,222,058,932,496,403,389,990,164,566,199,710,839,753,168,675,072,503,
210,831,863,752,419,190,151,832,462,181,261,455,658,707,307,004,736,113,315,
898,827,877,738,335,204,389,945,082,718,037,690,512,118,399,748,818,355,961,
090,644,742,459,899,066,332,868,191,507,023,941,373,966,646,885,913,343,272,
635,972,519,875,391,962,569,666,229,172,475,823,372,942,030,288,189,752,639,
877,493,931,311,831,099,120,666,963,671,244,728,056,455,290,872,960,839,396,
722,309,089,739,477,546,297,013,227,282,827,630,817,216,422,924,669,425,355,
970,368,826,020,623,569,457,511,162,592,166,358,539,926,341,930,605,882,417,
482,086,564,487,682,302,613,552,318,330,919,311,520,377,207,927,911,859,984,
201,523,620,216,990,343,749,354,385,926,507,321,483,027,100,959,411,717,398,
973,884,938,073,066,220,801,869,695,863,187,170,004,569,883,563,012,744,379,
395,225,236,033,864,323,006,514,573,120,158,824,232,778,163,475,398,496,034,
672,292,603,264,740,152,702,769,338,047,908,308,009,589,182,418,664,055,773,
560,474,278,989,972,580,655,090,111,418,144,350,365,461,485,370,309,285,372,
271,862,515,187,725,120,057,497,982,465,750,780,479,456,439,858,534,158,704,
340,121,675,267,776,845,390,033,290,823,062,917,176,677,122,407,091,057,643,
028,741,747,927,786,212,770,754,792,518,208,352,347,815,710,514,103,039,877,
629,285,334,497,532,425,046,985,226,576,888,294,903,611,151,144,753,563,072,
348,837,040,537,528,342,788,220,604,926,774,938,829,539,119,253,490,957,567,
621,066,606,123,832,788,250,909,189,761,630,136,627,487,500,737,520,275,603,
582,441,594,529,696,937,821,327,192,343,886,229,730,331,077,882,241,534,449,
576,430,304,617,977,277,820,452,346,339,070,444,489,940,940,123,642,185,872,
575,271,154,300,871,071,023,109,421,987,731,931,199,432,956,089,185,366,611,
759,052,622,992,321,315,985,173,026,501,100,986,033,485,850,034,099,934,133,
269,773,976,754,725,814,705,120,763,868,195,079,924,160,750,330,193,936,889,
414,350,198,059,604,413,593,725,837,288,044,680,287,379,361,712,033,035,510,
739,128,384,732,141,635,402,122,536,891,727,807,388,651,913,361,580,776,161,
724,213,459,809,926,889,031,146,700,205,977,360,206,061,470,053,923,324,360,
815,154,241,790,498,641,800,553,251,396,851,513,508,694,249,921,142,040,653,
321,284,820,375,887,672,162,692,577,397,901,895,051,493,772,564,482,883,152,
513,602,340,911,889,842,387,881,411,113,985,382,819,056,238,491,455,904,912,
845,102,636,112,400,183,478,637,599,435,838,818,824,122,667,621,981,649,292,
268,846,235,474,630,394,620,538,968,744,672,781,098,719,909,678,518,715,909,
860,995,734,941,343,771,276,671,200,445,793,962,141,329,368,176,771,591,663,
861,932,913,164,033,746,858,929,537,315,207,205,192,610,035,646,708,763,230,
234,630,988,981,493,406,259,138,277,876,870,929,069,253,044,001,034,059,554,
967,465,143,175,408,784,006,586,765,839,619,061,164,478,291,872,472,335,547,
572,588,628,500,881,307,294,324,439,532,584,801,456,616,434,152,454,530,471,
718,129,623,956,011,337,322,876,301,963,954,451,704,406,353,931,217,136,290,
971,036,513,607,674,791,185,887,086,419,332,595,507,752,039,997,047,981,989,
906,675,279,058,880,345,707,740,819,770,737,111,933,928,714,668,803,636,561,
420,985,420,947,164,157,036,969,652,337,945,263,133,098,824,304,028,844,443,
726,321,943,607,552,440,545,696,987,284,423,477,123,126,824,126,717,144,895,
927,499,985,625,645,411,230,496,965,854,331,327,069,992,662,878,884,201,275,
695,105,163,497,395,685,941,746,966,437,162,745,732,773,018,705,365,260,352,
283,203,431,371,166,137,049,823,740,495,072,456,512,046,153,016,669,855,453,
623,938,918,647,183,102,044,989,338,624,740,342,701,895,332,650,984,116,568,
194,965,149,728,995,110,567,803,717,971,446,030,571,426,758,838,867,514,483,
689,370,173,833,965,931,659,506,473,817,220,037,498,625,591,327,831,950,470,
508,098,337,497,067,554,532,010,777,411,689,963,944,033,071,730,251,563,909,
050,179,948,123,979,375,288,461,696,095,077,737,716,939,572,252,162,701,753,
372,587,494,409,571,221,366,607,087,526,616,690,143,624,470,100,983,177,112,
682,417,586,603,200,406,363,753,111,110,045,475,869,200,388,714,521,830,893,
668,632,908,755,243,257,722,014,835,792,677,219,560,152,231,735,620,761,776,
631,999,251,002,897,109,216,085,073,861,126,762,376,335,094,665,798,291,876,
212,169,013,072,038,148,692,166,687,293,547,472,266,284,612,934,716,473,750,
805,076,955,389,922,970,510,441,844,398,526,212,216,408,037,966,789,162,282,
446,130,000,953,801,466,091,950,511,200,308,458,967,473,046,796,379,054,987,
130,121,103,696,383,144,442,124,723,333,818,963,072,212,448,670,379,217,364,
037,967,101,088,148,856,844,100,775,931,105,422,134,619,621,299,940,922,433,
586,886,756,289,171,654,139,016,980,865,035,670,212,996,661,608,552,859,396,
747,954,523,485,819,611,663,226,338,758,277,049,022,610,541,911,194,159,314,
173,386,542,090,432,089,634,436,711,833,930,512,346,463,885,889,354,270,229,
225,792,278,373,009,165,439,232,721,623,389,159,222,721,361,760,886,557,714,
642,352,415,920,150,279,908,067,106,784,332,843,812,686,670,314,193,021,553,
967,133,778,199,885,855,345,593,764,123,714,681,210,740,148,039,891,140,916,
035,589,452,920,901,344,948,866,815,888,932,356,162,887,540,365,907,692,196,
880,978,360,740,752,606,937,601,710,620,816,134,463,177,718,602,303,929,861,
652,806,780,550,529,350,839,751,861,608,373,115,367,658,024,792,677,921,011,
899,083,940,012,826,916,423,347,254,212,771,453,137,873,069,802,851,892,704,
193,956,901,456,898,649,333,121,309,371,556,974,946,099,005,846,243,054,390,
830,942,533,379,876,101,732,738,428,439,772,079,233,274,336,314,882,712,838,
776,260,543,202,518,513,399,290,957,724,550,366,433,324,977,364,612,117,208,
205,150,382,356,111,381,339,665,867,577,149,435,503,120,067,652,123,596,416,
396,886,313,583,179,087,485,084,335,160,464,015,647,718,803,242,175,534,100,
175,586,028,736,959,510,260,902,216,833,332,763,951,412,852,661,588,588,523,
909,479,816,784,978,172,982,328,201,352,263,769,415,408,458,106,581,836,857,
742,964,983,908,302,932,535,008,085,094,990,936,509,124,773,359,636,354,698,
911,976,051,997,916,159,372,658,008,172,040,590,406,536,848,140,078,617,418,
189,100,057,082,032,668,585,417,674,477,766,147,263,924,412,052,775,858,580,
767,346,931,643,830,456,394,289,665,140,271,057,133,956,397,584,795,930,755,
593,665,218,412,979,208,129,162,539,601,616,870,468,468,503,849,852,638,019,
358,855,486,466,838,433,272,995,920,825,500,672,627,542,033,227,519,236,924,
962,429,768,612,096,057,865,759,042,012,826,878,375,662,937,401,787,552,848,
631,489,291,286,085,467,459,375,962,298,274,626,752,243,507,192,288,145,673,
486,664,103,508,345,360,348,160,787,042,524,889,508,721,763,232,887,441,945,
767,830,977,131,054,246,669,302,776,693,902,326,397,388,516,596,821,413,072,
543,468,325,756,037,377,083,714,601,578,202,577,358,238,229,066,689,948,111,
468,115,501,446,784,934,516,927,130,268,241,536,696,557,815,483,568,738,020,
300,924,264,999,910,711,970,550,432,143,492,494,913,755,672,809,720,244,019,
374,240,036,215,933,103,577,082,011,181,554,092,636,638,966,981,983,418,486,
513,622,745,852,632,433,018,319,455,804,411,584,770,610,583,969,811,348,669,
467,841,748,027,605,561,034,108,790,153,910,406,773,768,355,992,756,539,609,
492,382,099,801,492,702,118,079,057,180,937,505,002,737,202,550,896,129,014,
175,312,661,803,937,611,221,738,161,945,396,007,343,780,351,198,660,726,405,
740,164,023,605,985,616,778,875,166,795,433,255,659,563,677,974,377,751,887,
072,941,596,423,120,455,755,538,619,122,858,347,703,861,309,098,913,139,195,
141,348,316,627,865,822,871,987,827,671,445,913,470,036,017,402,320,723,155,
421,342,870,374,977,221,857,943,390,598,008,540,533,676,485,381,549,949,885,
979,618,752,515,893,776,404,805,304,183,460,559,343,549,653,609,228,074,164,
939,689,366,767,802,962,378,723,087,686,647,841,087,196,095,157,683,264,540,
726,928,318,468,588,275,748,118,255,878,676,686,861,238,461,219,333,558,051,
485,924,369,474,044,189,125,559,560,276,212,393,783,810,313,458,528,278,762,
856,667,496,233,871,013,412,463,963,748,484,902,025,118,258,795,683,292,066,
306,884,287,207,648,002,885,057,234,126,330,356,335,532,666,562,126,489,951,
207,790,604,891,457,760,029,849,831,778,537,256,461,961,090,047,715,734,903,
141,616,949,327,025,373,610,107,253,536,812,601,411,852,233,739,711,462,017,
586,816,521,255,667,177,412,804,751,834,455,361,840,396,104,689,838,413,195,
867,433,635,294,740,604,072,682,825,680,963,150,655,423,891,995,698,404,027,
861,541,121,372,328,173,965,452,549,812,969,383,823,949,423,750,125,437,380,
624,481,899,793,208,845,292,551,015,103,377,205,628,175,913,451,895,354,197,
734,454,744,081,210,878,012,968,921,136,587,454,420,118,535,253,731,606,685,
592,042,312,476,827,616,441,190,188,873,857,344,918,602,175,225,930,087,163,
043,551,372,305,329,665,392,528,778,072,000,148,734,967,684,330,494,421,730,
494,545,784,301,603,525,294,745,786,897,436,661,563,768,477,307,954,451,771,
754,801,197,885,735,158,760,767,349,282,440,460,463,694,996,384,308,403,936,
543,483,663,484,786,307,902,922,721,927,136,074,546,360,219,958,358,705,939,
148,342,912,537,853,031,600,968,448,504,363,666,637,811,016,291,419,814,443,
796,793,106,481,997,000,452,297,078,585,010,743,214,195,536,245,475,974,490,
574,080,433,413,380,946,352,131,169,824,466,849,145,522,451,786,677,005,368,
007,485,753,729,248,533,790,142,680,431,683,065,265,427,595,857,384,509,470,
814,407,847,255,313,302,214,308,862,626,773,556,896,273,753,996,011,488,742,
430,085,777,970,895,092,702,977,290,337,986,543,696,899,718,454,565,800,564,
141,185,226,830,416,663,645,186,955,979,246,854,088,531,295,849,160,493,768,
509,178,893,609,848,854,216,064,677,961,543,665,103,119,359,648,440,324,634,
916,585,207,000,329,739,252,698,462,967,837,622,976,518,748,131,151,092,960,
696,503,423,727,332,267,028,836,274,859,147,679,164,842,515,881,509,033,922,
968,863,008,292,970,630,703,586,764,866,228,052,314,224,563,691,209,782,933,
951,529,413,780,111,788,051,813,560,600,167,015,963,012,489,929,553,522,339,
960,145,411,884,711,506,034,831,644,270,416,396,141,586,428,982,330,109,144,
434,044,090,057,793,609,330,810,699,018,859,259,661,904,713,046,781,595,252,
508,799,765,105,153,824,397,400,579,961,744,298,637,396,638,845,770,013,026,
241,292,083,805,496,861,149,706,490,870,575,432,176,962,638,867,067,133,077,
318,025,185,228,903,700,927,716,121,546,746,068,976,956,335,983,468,386,127,
323,762,950,411,356,484,278,964,853,249,694,523,006,709,859,153,598,999,445,
998,936,936,967,168,061,369,056,497,085,766,107,903,683,488,341,558,097,558,
579,786,837,686,170,731,892,306,451,229,474,726,793,380,108,039,587,585,327,
064,203,541,186,709,564,128,115,459,468,287,325,143,566,131,875,422,422,084,
638,356,275,285,686,477,572,494,779,954,266,747,238,543,615,910,639,713,900,
078,555,700,369,492,782,370,260,423,433,747,162,587,181,104,152,129,927,914,
738,283,461,268,619,077,675,677,401,085,584,958,709,306,702,924,545,596,523,
101,585,532,469,767,168,021,862,437,691,834,826,803,309,895,830,774,315,427,
559,411,437,984,908,440,291,912,773,918,115,529,835,979,661,495,455,794,957,
040,951,209,975,332,688,247,250,669,201,204,361,134,236,637,246,287,106,071,
797,708,951,627,976,489,940,099,629,070,815,963,713,059,143,009,330,700,010,
401,642,226,847,039,263,209,986,263,378,119,904,737,780,013,870,713,423,796,
280,218,326,784,106,140,050,181,573,060,083,818,663,937,335,661,377,697,224,
821,211,658,708,393,311,168,700,817,403,048,630,195,711,381,260,461,023,606,
257,680,637,640,320,338,317,367,850,537,298,394,872,046,758,609,153,477,140,
671,438,575,427,177,723,187,684,225,890,732,942,391,951,904,876,553,499,369,
749,729,641,360,096,972,375,014,681,428,817,687,076,826,720,027,486,899,036,
225,132,203,814,395,914,567,143,360,208,876,811,298,832,487,307,132,698,072,
934,279,462,821,735,930,700,712,217,174,732,152,589,000,203,575,101,646,624,
383,267,483,324,892,734,094,431,585,581,188,805,369,154,914,026,667,096,662,
988,947,250,626,619,658,063,327,694,766,940,297,644,379,094,875,765,693,110,
735,770,024,608,185,736,669,293,881,340,905,138,703,029,542,820,144,991,377,
555,382,032,754,908,414,107,014,619,806,332,010,811,354,923,687,940,072,227,
777,054,420,813,330,896,623,792,663,336,470,755,292,482,417,516,604,535,493,
740,339,687,273,042,957,724,008,760,126,048,739,265,964,341,112,344,668,329,
378,378,941,326,379,380,288,509,327,427,478,838,662,148,848,700,046,802,543,
836,549,384,123,736,301,858,248,457,813,585,717,333,306,507,528,195,576,288,
209,097,620,633,551,850,280,397,794,195,860,928,198,020,720,374,436,547,096,
250,015,160,055,833,249,066,207,882,675,129,422,987,661,041,203,531,214,299,
481,046,979,632,937,521,889,422,561,386,690,690,710,550,860,801,903,489,394,
510,259,385,386,966,563,698,658,609,792,479,321,234,186,165,679,226,883,909,
527,019,213,017,188,899,110,981,432,460,687,545,161,993,695,251,159,250,383,
459,387,609,260,479,649,485,315,615,132,487,201,543,602,403,947,482,803,806,
811,333,366,167,246,695,585,064,846,162,224,839,247,549,716,711,614,779,890,
296,247,343,115,751,960,360,213,310,154,045,644,480,046,605,367,612,038,121,
493,817,175,324,136,785,029,558,958,053,807,662,240,428,859,413,874,265,788,
762,931,038,490,017,097,362,381,477,508,044,637,575,077,189,732,306,265,372,
490,946,400,705,088,295,841,661,766,314,982,314,437,904,897,644,653,888,640,
582,347,965,062,759,976,226,986,914,860,726,538,826,887,156,404,519,472,724,
974,696,881,826,313,586,892,075,798,537,044,156,483,138,053,874,797,973,824,
116,849,844,994,937,330,008,725,317,130,677,544,983,755,272,071,123,438,642,
427,547,028,919,757,326,076,017,894,839,697,226,685,683,901,754,217,185,233,
641,621,420,130,054,850,160,503,532,206,951,834,995,401,192,361,695,425,772,
898,647,100,551,838,196,796,772,614,941,363,303,227,729,204,808,125,793,914,
883,827,159,325,922,694,654,171,126,903,385,976,894,672,939,348,879,727,428,
653,982,373,369,515,117,594,994,959,759,267,585,054,063,108,424,696,014,107,
330,910,779,549,258,004,623,806,734,741,021,447,621,424,752,889,895,789,649,
523,736,884,829,446,241,992,062,117,193,130,166,072,574,370,735,119,250,459,
219,896,624,752,650,885,791,941,457,652,021,057,746,812,158,176,200,172,522,
856,886,637,680,101,976,288,381,957,849,230,847,991,298,570,423,966,976,160,
713,972,086,965,814,149,605,832,737,841,868,250,877,455,356,414,413,928,417,
184,919,275,429,741,624,968,404,616,052,109,240,337,177,463,756,032,013,138,
978,467,781,365,340,674,825,426,945,209,834,238,391,913,822,720,699,692,605,
461,948,728,000,463,373,724,033,826,607,712,143,219,033,942,238,130,758,109,
519,199,736,108,214,744,538,844,477,341,539,878,320,358,561,944,396,394,380,
656,459,675,918,264,890,279,318,431,873,856,278,877,748,777,206,220,686,982,
900,550,526,500,160,735,619,193,249,526,023,596,569,686,791,201,809,281,244,
082,136,180,672,569,663,178,274,333,887,166,051,902,323,533,728,762,711,437,
129,941,472,879,561,221,059,923,285,607,515,720,155,467,962,565,525,333,914,
231,432,872,365,098,191,424,902,388,844,310,074,432,678,323,558,183,320,120,
646,169,126,041,955,312,817,554,150,054,262,996,187,426,937,022,079,669,364,
481,778,423,449,873,270,119,348,783,175,861,257,162,963,370,814,572,066,941,
756,566,926,893,360,534,497,509,014,216,634,480,720,149,508,024,139,615,463,
117,889,036,661,707,232,081,229,365,544,889,201,493,091,813,392,244,324,199,
884,713,294,104,556,195,483,881,429,871,274,402,801,496,967,611,876,737,761,
398,602,028,006,219,702,135,625,099,134,323,238,469,632,389,255,672,550,549,
606,162,964,512,677,877,484,369,518,844,293,623,287,094,853,796,646,937,314,
661,279,659,338,425,304,905,344,370,823,628,453,160,237,270,150,465,033,956,
931,767,359,114,088,563,474,888,481,999,635,939,680,842,902,590,999,046,617,
427,616,875,305,992,088,483,823,076,023,610,136,053,219,430,230,833,025,052,
991,026,819,464,810,424,296,951,532,761,176,221,096,861,501,350,263,122,674,
434,480,620,161,725,854,736,725,137,117,438,504,061,917,562,950,463,560,647,
383,035,681,060,828,276,550,926,752,237,227,845,843,657,702,753,407,699,078,
668,387,111,257,623,686,109,696,484,351,174,935,836,482,680,606,893,690,396,
456,874,529,129,116,326,477,420,599,578,417,671,021,785,202,120,728,897,547,
087,259,729,064,386,187,486,771,536,489,184,434,598,833,274,261,717,218,673,
205,583,237,682,052,766,193,940,212,783,701,806,651,442,223,434,540,061,484,
132,545,280,505,637,082,700,033,374,893,271,093,404,134,055,747,420,316,503,
719,652,126,004,956,971,137,359,038,612,913,996,827,733,800,824,184,521,407,
609,590,450,152,993,376,014,551,683,236,102,737,634,250,542,706,923,337,184,
884,864,526,257,852,366,215,211,782,079,932,520,238,877,723,850,709,469,543,
850,696,782,434,313,863,939,624,942,989,310,500,857,780,329,954,352,095,153,
369,004,993,294,894,896,901,864,836,440,897,816,706,507,817,876,417,941,431,
150,761,361,863,694,586,681,593,619,866,655,431,349,260,516,230,537,388,504,
741,806,945,198,914,060,968,505,103,739,736,094,577,158,054,014,222,888,968,
757,053,767,303,031,641,295,678,453,649,027,677,546,640,539,303,539,130,159,
785,274,590,389,993,724,674,992,037,150,230,655,318,263,281,014,403,922,367,
990,696,044,686,254,890,448,350,427,516,131,867,692,303,562,137,307,221,991,
009,323,885,070,785,133,641,366,312,007,838,986,087,481,660,607,647,249,695,
759,905,455,547,051,537,094,721,721,436,538,478,285,224,235,734,322,018,771,
634,242,860,225,168,272,344,527,017,133,924,717,938,118,628,854,163,379,216,
900,676,627,886,098,980,341,939,677,747,917,668,951,109,397,913,010,219,768,
357,553,823,169,593,738,812,947,155,312,652,070,050,520,132,025,786,455,547,
032,638,311,296,082,030,815,290,979,662,571,642,340,452,735,440,119,902,093,
311,534,137,937,180,059,508,374,837,157,733,042,789,175,095,424,741,219,458,
308,076,380,324,478,489,308,077,678,612,604,568,084,868,972,819,125,744,273,
426,381,644,925,853,424,871,349,461,061,968,177,753,000,637,956,274,927,289,
309,381,658,044,457,237,318,733,706,895,688,389,200,312,292,435,019,008,561,
174,761,267,683,697,068,460,974,313,529,300,163,335,802,938,149,161,869,304,
085,845,887,659,622,990,349,004,163,458,970,207,660,550,934,349,057,035,140,
649,133,657,160,390,928,807,128,832,578,836,537,850,975,751,380,001,753,516,
320,853,514,807,881,434,540,737,199,742,570,287,717,670,814,633,376,037,371,
851,128,115,523,448,579,313,624,255,538,572,315,498,117,388,507,720,829,151,
361,313,715,215,304,453,676,504,062,290,732,899,222,345,813,945,713,267,008,
732,461,100,968,996,645,848,015,212,295,437,595,736,409,103,778,331,378,371,
414,133,327,305,084,232,158,146,539,923,784,037,669,833,401,146,065,178,613,
735,325,916,322,945,719,510,031,422,148,176,426,437,541,269,971,410,719,994,
763,743,609,411,245,663,624,890,043,581,798,692,236,360,786,282,147,486,819,
622,155,283,801,328,930,923,705,107,164,672,625,041,214,002,654,861,249,308,
043,310,585,105,149,953,893,656,451,318,892,791,886,668,155,648,247,247,941,
252,042,100,220,877,297,040,540,208,433,689,593,680,409,441,091,408,669,967,
837,926,953,225,428,662,236,631,208,261,507,012,790,612,366,991,892,323,500,
328,486,557,224,582,065,012,385,648,116,121,380,675,783,626,818,514,806,130,
259,225,322,789,305,465,416,330,804,905,421,272,969,524,945,990,109,025,071,
161,567,094,377,961,025,528,150,875,471,086,252,439,698,847,707,370,954,599,
894,153,707,000,770,067,310,140,790,581,536,426,457,019,794,157,939,637,603,
532,848,703,612,998,845,509,527,736,251,728,016,201,666,464,417,631,750,731,
793,340,488,755,118,201,864,155,882,474,262,067,192,670,184,211,993,891,610,
090,673,355,292,658,620,248,422,740,719,739,726,064,168,040,470,268,538,565,
088,960,769,924,830,282,783,629,890,789,802,233,308,706,153,897,263,999,426,
346,163,938,896,280,569,219,609,847,898,360,032,237,184,524,069,671,994,982,
714,273,433,277,289,706,264,732,809,499,072,690,493,578,399,400,822,474,192,
103,217,326,939,543,313,535,322,550,283,027,022,433,544,495,546,190,116,212,
546,332,235,612,012,617,423,158,769,667,099,619,082,859,844,450,331,339,665,
775,220,993,844,198,142,399,867,060,129,277,943,493,033,560,026,707,043,799,
297,466,916,407,467,584,090,072,454,109,267,698,279,908,533,806,575,128,002,
946,112,972,823,506,158,244,437,426,567,932,777,398,190,120,056,525,075,538,
076,004,348,389,055,575,904,963,974,751,133,023,716,270,746,288,987,825,998,
391,929,585,718,342,274,220,945,966,245,613,560,017,934,340,025,974,950,372,
946,511,448,573,855,606,375,814,216,192,074,655,700,903,366,951,863,273,476,
804,294,970,137,205,326,349,233,121,491,756,550,546,353,067,912,396,527,369,
706,761,032,610,549,242,292,023,789,444,190,219,805,015,525,592,363,727,135,
028,592,040,136,473,303,338,610,940,947,572,117,838,174,695,468,866,374,352,
411,330,824,997,015,934,761,666,025,633,001,925,173,912,955,034,216,738,741,
095,622,236,006,127,141,900,281,215,452,824,280,866,821,933,686,661,419,812,
985,565,018,851,406,740,894,115,027,186,189,667,738,222,502,231,253,067,441,
738,674,588,751,069,578,987,777,765,998,670,128,471,393,093,147,481,623,357,
728,534,557,310,027,322,527,482,820,963,167,443,133,492,555,367,099,847,206,
576,224,328,403,138,730,708,288,706,910,405,989,241,014,461,277,184,989,843,
968,334,747,104,378,687,699,353,813,558,879,982,128,175,104,671,603,835,124,
187,223,693,598,810,496,976,271,465,160,665,746,947,288,305,428,606,473,368,
146,120,944,046,021,760,709,646,806,618,183,732,709,920,801,097,922,652,156,
713,946,255,650,458,477,144,788,677,661,307,173,702,908,329,842,621,109,554,
900,187,244,291,932,474,487,992,462,766,086,310,051,697,012,004,965,327,368,
649,461,384,496,921,105,657,520,180,463,128,937,981,202,729,180,421,693,005,
523,493,855,393,539,736,908,717,496,619,858,503,001,161,237,250,103,962,009,
040,280,513,314,859,130,416,180,108,111,456,940,997,210,142,156,043,214,833,
453,459,656,661,244,182,576,875,887,439,658,973,970,233,172,574,072,189,658,
384,386,560,778,845,168,574,586,806,500,219,403,070,140,953,406,189,633,166,
255,206,887,125,463,380,036,267,949,232,589,612,675,997,256,821,121,131,414,
622,030,673,520,201,450,635,788,151,671,703,888,698,337,204,138,742,874,727,
402,001,998,877,253,888,724,668,150,700,093,291,915,101,910,998,675,386,587,
407,008,620,303,273,960,949,840,220,064,093,654,252,633,987,046,899,905,131,
096,825,466,839,255,274,366,006,452,115,549,542,506,419,491,269,157,153,050,
968,269,739,075,013,074,550,893,972,918,784,247,612,282,409,630,020,303,564,
253,958,761,300,359,766,062,850,649,315,240,065,749,549,861,818,050,571,192,
273,101,934,994,198,446,359,170,272,853,576,920,206,330,867,770,139,870,251,
734,169,566,943,031,827,780,471,966,371,625,319,208,555,394,891,594,634,571,
114,206,405,997,719,564,306,481,340,011,091,393,507,048,563,324,551,572,031,
194,662,566,517,638,279,404,778,005,522,412,069,956,365,528,948,894,238,997,
799,048,107,076,059,974,537,351,212,288,238,038,909,743,451,798,595,013,176,
580,030,320,385,313,036,873,615,179,642,701,436,859,781,903,793,944,921,022,
388,919,760,115,859,154,338,325,265,447,295,110,915,996,222,394,127,738,415,
226,813,529,232,373,716,759,507,881,350,448,537,499,734,130,654,283,777,642,
269,629,315,262,085,882,842,213,845,009,813,538,601,281,708,583,220,292,187,
717,457,924,787,043,751,877,010,113,390,928,441,270,714,519,200,319,073,379,
624,531,775,183,773,329,573,565,358,796,028,031,339,198,880,682,175,189,765,
956,593,630,138,313,558,848,720,051,528,623,864,297,455,652,255,738,871,313,
571,257,653,200,420,626,912,138,652,869,995,206,187,828,843,020,411,852,029,
234,114,522,983,477,845,221,026,586,497,769,511,215,011,419,758,927,028,632,
152,984,182,399,706,357,469,634,281,755,917,026,473,031,984,835,426,479,069,
557,000,425,613,386,501,818,670,105,537,551,956,443,176,071,037,219,581,412,
217,922,378,637,124,189,176,426,643,555,226,212,482,893,073,020,701,897,840,
743,325,038,057,950,416,992,760,805,460,913,279,196,510,213,523,026,081,548,
684,941,464,838,212,929,023,910,945,323,812,204,963,052,037,864,388,013,960,
924,544,791,056,842,567,011,232,508,007,811,185,688,119,666,518,264,232,803,
789,251,952,803,120,144,137,282,171,597,625,178,682,787,440,885,523,238,130,
029,254,444,087,922,181,014,764,669,565,199,592,665,927,680,474,055,733,569,
742,876,713,590,775,982,192,930,712,187,521,515,259,086,244,824,027,156,468,
462,537,708,389,881,716,644,052,972,281,780,726,030,164,747,054,786,764,767,
818,693,263,981,024,069,188,436,070,363,648,541,579,980,662,019,437,810,360,
548,139,731,727,906,297,024,314,717,475,873,410,350,533,637,657,568,407,105,
683,594,036,015,447,642,973,692,449,061,408,664,387,377,975,277,507,937,252,
929,919,705,712,376,499,644,108,009,005,340,653,599,406,320,676,298,871,835,
097,947,941,698,534,007,877,769,085,387,463,558,418,534,537,911,111,352,049,
217,733,347,219,994,933,752,171,664,293,235,722,312,756,142,819,469,441,505,
805,331,059,925,130,077,687,926,715,877,413,131,959,222,548,591,716,322,216,
662,257,888,999,833,460,213,339,264,382,718,429,674,658,282,534,142,086,937,
260,475,429,086,755,074,986,774,775,369,054,503,861,298,563,161,086,582,587,
968,592,400,013,000,895,352,792,034,247,714,614,181,372,450,859,658,662,847,
999,871,942,268,232,330,183,327,630,473,168,979,225,744,438,758,344,556,311,
826,242,073,967,528,984,055,861,463,294,505,851,943,141,536,537,025,447,417,
384,862,601,706,994,281,605,466,373,843,982,443,996,689,833,406,034,040,634,
016,521,230,117,884,322,844,391,392,126,438,681,684,083,063,024,291,796,193,
887,668,317,413,535,380,259,258,252,844,517,568,579,460,048,784,495,069,514,
390,748,733,579,077,260,113,634,335,012,861,824,749,335,347,630,799,043,788,
217,375,826,410,039,374,509,475,880,700,512,301,666,750,930,460,292,861,259,
177,835,710,114,915,742,213,939,783,900,896,376,703,733,439,740,712,706,849,
077,428,120,961,712,789,024,147,779,820,915,803,702,382,692,941,941,348,194,
343,408,924,925,276,986,557,827,681,139,645,225,990,259,287,301,272,206,406,
761,505,979,413,644,503,643,157,298,656,212,267,359,751,510,676,984,134,675,
728,344,909,796,512,377,666,454,402,771,553,039,889,794,388,801,740,678,810,
406,623,213,670,614,064,625,449,343,959,857,831,756,662,963,857,922,792,873,
350,390,642,714,939,341,578,965,797,292,031,767,092,992,979,470,911,070,012,
926,534,001,783,746,007,002,583,604,363,259,790,546,475,462,202,887,055,890,
492,685,266,004,159,222,308,697,975,871,672,239,644,021,596,481,548,350,465,
550,216,519,522,424,444,028,038,589,717,978,941,349,364,686,079,053,041,687,
219,960,039,678,019,720,630,984,335,320,969,901,315,329,208,913,937,655,041,
745,524,822,831,977,185,074,191,189,242,678,635,852,860,704,344,888,116,914,
492,342,228,705,482,869,659,148,512,791,060,367,418,562,030,317,138,766,582,
944,285,035,586,352,382,644,177,395,047,681,287,686,943,923,615,834,350,492,
423,479,935,738,031,345,848,167,213,827,678,139,043,224,890,528,136,161,421,
259,867,591,275,123,450,659,692,696,848,331,288,123,094,725,802,947,921,930,
503,135,158,092,256,500,709,298,769,690,472,489,899,744,506,792,917,263,564,
748,232,079,088,265,419,703,365,782,113,168,331,915,010,277,498,434,487,310,
537,644,551,876,011,868,736,773,571,004,958,171,486,456,010,802,030,735,498,
443,653,160,875,811,279,144,425,568,538,350,182,545,950,555,528,091,893,458,
927,878,798,343,411,917,282,576,085,135,222,624,596,499,808,154,390,904,567,
976,983,744,932,589,515,175,076,447,005,997,909,821,164,762,773,437,205,682,
493,894,404,734,248,839,386,812,750,729,016,012,991,751,040,939,065,915,337,
828,141,459,221,877,810,488,599,236,272,547,123,028,630,816,369,587,473,205,
480,398,785,090,716,412,255,344,521,651,861,987,370,502,056,151,998,912,123,
190,484,176,522,075,196,047,477,174,753,552,706,151,098,287,075,208,208,792,
677,527,269,618,863,116,246,207,178,622,234,577,607,738,409,637,176,393,035,
635,858,743,430,765,906,681,346,779,880,377,038,115,647,263,777,439,488,984,
536,688,784,937,757,119,929,639,712,767,541,010,115,080,747,619,971,199,915,
131,683,462,168,748,802,928,012,654,127,110,761,635,595,081,185,904,994,754,
623,432,463,898,253,576,997,185,459,146,250,818,764,408,984,020,618,797,804,
400,005,835,080,653,024,068,568,302,504,885,665,443,502,112,162,879,164,871,
414,989,909,550,909,506,840,456,621,362,940,402,723,383,829,625,129,553,044,
904,280,595,730,504,174,366,341,478,234,430,688,481,988,963,649,737,556,551,
273,537,528,408,496,742,244,976,892,072,815,889,188,634,749,141,525,867,436,
085,085,833,062,486,937,476,472,710,784,025,071,757,903,914,965,887,711,610,
574,531,639,937,655,830,561,139,509,181,605,749,733,881,022,645,352,986,640,
253,812,134,132,758,196,316,890,833,763,531,269,051,181,331,423,726,768,846,
914,642,201,769,214,163,500,600,121,909,419,724,134,636,906,335,619,359,021,
764,729,163,920,148,084,629,205,293,460,725,927,633,275,509,889,479,709,393,
699,161,492,877,979,823,512,774,494,308,685,830,017,954,634,464,568,406,386,
404,068,867,161,006,316,071,187,601,511,365,572,859,536,708,054,286,026,586,
856,565,523,350,755,605,258,330,518,807,278,943,145,404,148,069,704,075,922,
403,139,582,818,870,104,876,855,236,005,807,646,123,886,043,594,503,834,867,
090,819,426,939,781,090,274,233,250,968,283,071,073,462,354,407,983,844,899,
183,204,493,332,014,885,315,953,782,547,457,208,969,947,949,816,349,966,172,
961,268,075,637,368,111,916,232,491,710,297,510,708,481,325,417,228,856,759,
508,161,937,098,553,288,487,020,132,653,555,552,241,832,765,655,050,514,977,
520,029,199,867,985,333,606,503,922,550,924,092,444,453,089,149,733,003,584,
449,174,752,978,365,119,925,462,028,708,441,067,831,127,094,297,517,257,950,
851,628,113,350,592,126,501,987,581,975,498,844,392,239,954,172,108,996,493,
959,269,965,040,769,128,316,443,067,659,436,035,287,741,147,792,369,461,066,
931,505,860,422,955,404,323,662,912,735,297,074,351,994,355,116,257,871,111,
928,890,909,289,691,261,481,116,491,314,959,917,459,959,377,437,334,641,478,
182,678,955,682,700,486,024,725,884,345,310,372,095,674,648,882,609,548,920,
831,500,529,707,130,489,165,440,946,607,934,866,015,895,764,879,734,086,912,
043,956,009,983,399,721,520,574,049,763,468,925,355,282,303,747,956,608,242,
410,252,291,196,448,705,944,398,926,569,545,005,840,902,061,574,582,316,717,
474,100,320,291,857,942,960,647,398,361,911,615,371,790,414,822,056,682,697,
315,657,980,193,538,033,327,669,900,625,964,446,787,123,373,918,233,834,649,
336,031,793,612,065,707,770,177,877,500,828,263,322,760,914,052,793,789,086,
109,465,772,910,204,941,396,491,381,371,013,732,934,406,472,801,695,596,778,
776,904,621,977,550,526,638,592,304,200,028,793,234,080,969,052,777,995,147,
356,953,913,047,212,318,092,013,027,843,992,576,325,900,822,074,420,810,554,
405,718,698,322,560,550,841,630,596,984,373,294,655,344,975,951,920,070,652,
875,172,498,956,607,646,153,176,699,773,340,035,659,763,169,903,441,470,089,
184,358,251,671,488,065,461,317,626,212,734,955,651,578,374,038,771,277,992,
438,130,749,596,772,305,809,174,036,810,814,255,959,457,277,593,931,530,162,
852,293,360,407,332,357,470,462,417,175,878,653,475,405,534,118,756,885,684,
618,770,432,011,814,405,492,180,718,373,226,510,259,275,643,166,089,737,100,
895,821,803,808,997,319,536,702,989,565,689,094,433,449,689,648,966,789,629,
687,392,992,938,472,829,352,399,894,496,652,690,109,146,892,467,625,608,567,
600,800,859,520,638,137,151,429,366,169,070,580,016,020,262,628,833,969,064,
862,991,956,487,470,427,693,929,234,987,661,077,601,266,923,996,186,000,248,
745,440,044,717,907,792,062,420,052,230,420,720,076,915,695,738,317,562,394,
222,990,642,863,622,356,627,388,179,625,285,104,697,175,256,369,002,580,629,
254,354,237,452,438,365,373,943,859,299,499,895,225,398,319,442,284,417,973,
241,726,860,041,062,530,520,069,442,077,145,092,188,488,784,444,515,328,460,
682,807,393,968,543,954,333,814,938,751,285,770,175,347,934,308,561,343,406,
072,584,258,007,929,248,188,419,493,110,132,888,291,346,112,778,396,331,639,
474,669,903,316,795,086,122,969,587,995,797,965,905,746,780,083,314,776,790,
302,432,145,517,351,234,468,014,844,520,625,688,455,628,850,662,335,377,099,
663,533,888,720,646,034,079,853,812,795,363,110,558,060,703,189,809,583,031,
297,939,216,929,403,006,850,761,026,185,584,794,004,753,629,424,887,448,239,
578,629,551,015,191,773,733,478,713,789,320,519,336,389,818,664,875,233,933,
038,062,578,244,404,881,827,063,397,090,281,616,821,851,955,208,490,862,152,
818,868,206,826,036,052,194,446,345,137,731,823,069,903,908,650,593,464,369,
922,891,536,974,124,338,474,793,620,011,050,396,643,923,819,698,460,144,742,
523,599,661,531,482,851,371,571,450,041,309,883,018,677,633,138,683,738,403,
764,438,610,689,368,482,487,017,640,642,874,362,319,119,825,946,009,188,561,
117,649,584,421,685,054,708,276,073,082,698,836,668,400,592,963,943,301,483,
399,653,653,719,282,920,111,692,551,566,196,283,710,855,743,677,985,978,379,
916,429,107,930,040,226,257,723,859,217,077,045,752,351,398,683,196,517,386,
460,506,223,793,919,093,189,209,761,293,112,555,889,233,161,271,457,228,230,
835,015,534,557,409,869,253,614,378,187,521,257,452,626,052,437,776,648,261,
240,243,029,031,780,463,891,077,909,300,998,062,989,695,109,700,605,228,317,
406,269,985,717,108,858,362,889,760,987,379,748,387,929,677,421,066,789,176,
946,611,281,118,307,606,517,540,807,460,813,177,854,004,022,229,594,595,189,
527,633,030,369,715,733,743,556,758,577,031,434,205,754,660,789,071,956,958,
546,611,836,675,021,548,308,579,811,312,935,373,254,998,434,028,893,310,653,
473,222,683,890,200,797,555,254,015,031,974,354,292,406,622,497,839,017,691,
274,836,688,548,982,231,721,440,577,463,778,988,486,530,738,645,670,104,897,
559,470,386,028,186,070,798,799,368,216,088,621,214,422,631,620,826,176,155,
099,961,582,394,701,612,863,384,530,593,892,891,503,797,344,797,446,398,273,
290,332,825,787,327,327,821,533,757,833,314,026,516,071,602,405,155,163,214,
739,184,719,586,441,302,685,894,529,630,030,225,758,443,450,727,301,412,751,
835,348,848,485,277,447,740,480,512,510,374,384,801,951,950,329,481,350,214,
951,351,464,935,519,365,837,146,824,909,662,852,824,799,139,502,406,470,704,
320,723,998,298,624,261,862,469,704,253,559,277,516,405,439,156,427,773,412,
749,724,497,986,497,566,170,383,524,760,578,152,293,309,370,465,375,481,685,
285,946,795,238,254,473,206,403,991,587,235,422,016,814,642,383,119,783,653,
806,104,456,886,015,640,616,494,541,285,685,500,627,475,764,024,925,664,085,
206,931,238,321,464,345,488,071,880,734,896,433,052,109,401,133,797,278,387,
225,896,663,160,370,084,496,048,406,573,756,916,945,460,445,107,489,826,420,
256,636,623,189,726,014,041,238,161,529,715,485,759,205,786,248,212,471,459,
515,228,845,851,523,887,327,481,433,756,695,224,974,468,375,316,628,174,124,
473,006,584,684,138,194,402,896,119,969,000,413,146,184,613,085,226,204,224,
182,361,062,063,599,855,726,993,379,892,273,085,391,190,064,036,548,669,815,
426,712,535,833,759,892,117,885,710,540,158,929,628,875,294,174,882,028,474,
550,678,622,210,989,582,936,164,226,482,753,203,554,306,754,556,021,523,537,
200,937,652,006,296,967,156,832,670,008,731,623,628,732,598,516,005,050,412,
541,991,069,978,447,707,115,402,253,245,824,423,876,249,610,113,295,759,081,
347,048,204,448,319,432,154,748,942,276,112,842,097,906,610,462,324,109,666,
373,135,306,064,890,400,762,859,233,981,924,778,484,774,317,107,089,602,645,
411,714,776,648,059,602,926,703,883,623,951,767,850,757,911,537,371,112,649,
016,120,934,631,854,742,869,169,606,733,890,209,740,501,046,583,795,612,584,
248,303,345,021,588,978,484,386,038,240,699,227,722,858,883,752,667,651,412,
122,787,233,040,718,884,156,092,568,156,937,938,573,247,397,576,871,433,580,
575,232,228,797,946,042,024,501,150,541,342,027,362,300,389,467,200,830,811,
411,647,960,160,015,691,283,014,678,456,888,875,857,027,938,881,406,436,006,
174,532,891,823,223,995,546,631,943,873,091,705,265,769,605,896,905,324,755,
691,569,000,205,182,792,501,837,785,384,828,057,162,325,287,951,582,850,161,
023,464,019,873,318,803,953,397,311,193,141,512,107,929,635,889,598,874,814,
143,056,539,583,268,038,717,656,850,614,460,298,951,613,571,571,583,572,749,
294,611,339,024,721,883,046,835,641,916,387,030,035,628,669,945,179,315,283,
812,091,968,926,458,907,865,102,897,255,663,330,902,315,505,413,106,716,884,
910,395,587,930,007,401,436,118,822,566,568,356,237,733,487,761,356,402,267,
339,909,579,996,037,779,148,624,768,265,994,888,402,741,808,925,189,992,845,
004,807,678,956,219,732,681,329,102,318,605,694,305,995,139,952,386,587,397,
615,850,946,865,683,713,007,851,218,050,250,450,316,575,289,352,869,639,992,
832,352,144,086,163,686,029,936,172,509,456,685,724,401,740,928,048,477,926,
678,411,833,661,960,660,432,902,088,592,056,357,327,219,354,895,606,450,760,
689,558,453,617,632,165,587,175,852,877,225,859,950,643,968,130,668,709,635,
112,636,978,976,169,876,620,853,684,321,850,014,939,851,526,789,163,024,968,
468,622,604,391,053,481,983,093,167,612,429,373,016,573,664,765,444,805,264,
712,973,904,645,734,905,934,656,748,521,222,255,865,758,527,775,201,149,678,
455,245,598,814,306,974,407,903,770,245,903,774,440,310,757,950,627,073,363,
284,727,833,817,113,366,876,901,136,566,747,689,756,733,678,149,114,660,877,
821,017,557,261,865,533,073,528,791,041,462,689,424,152,277,429,218,077,691,
139,223,349,651,431,558,593,921,781,301,585,366,023,087,028,203,328,166,007,
183,801,820,007,384,540,162,322,815,801,665,597,934,032,116,555,798,961,919,
651,768,618,248,945,644,745,565,452,422,594,640,183,217,202,126,031,304,114,
141,164,010,600,825,467,866,153,310,147,492,159,817,767,628,525,983,934,309,
697,929,703,973,954,778,242,509,987,558,955,055,086,086,379,870,837,305,957,
406,253,236,479,519,925,585,608,883,186,064,926,544,726,910,340,640,407,787,
264,929,703,089,977,600,090,544,034,673,749,969,585,791,382,525,642,548,006,
026,184,395,710,790,241,946,080,282,977,151,575,977,183,066,934,898,507,763,
780,610,370,413,529,666,485,374,776,260,528,388,918,674,030,140,427,421,372,
412,679,775,027,239,394,024,290,691,787,505,115,168,729,034,561,936,832,701,
165,025,250,276,994,815,637,554,206,268,801,282,438,272,045,631,238,796,203,
524,149,026,172,368,686,062,979,847,208,826,013,179,367,582,208,636,868,084,
374,582,350,762,241,464,638,160,972,080,361,327,094,854,648,340,766,710,434,
411,529,243,883,590,577,134,074,516,662,725,548,884,383,737,110,637,717,682,
420,310,768,628,208,555,938,401,877,156,900,454,817,183,082,393,800,265,358,
176,999,558,808,543,832,521,087,237,989,551,963,047,936,666,703,463,438,801,
833,401,617,392,971,120,278,908,134,110,590,322,179,913,565,201,576,531,947,
785,451,497,234,352,862,706,534,595,269,585,553,567,956,104,141,797,773,784,
272,659,614,534,899,740,124,889,293,443,192,870,879,126,993,883,010,275,454,
189,975,255,801,950,167,792,400,332,068,918,345,360,331,713,106,577,600,766,
102,221,905,684,214,071,664,184,946,769,440,598,426,761,774,675,990,383,483,
320,159,414,434,682,362,009,286,070,813,974,722,560,189,833,535,050,880,240,
732,161,039,645,068,500,745,621,292,806,819,910,082,339,052,154,891,869,613,
889,958,385,193,039,548,891,191,273,934,375,255,568,233,427,659,443,421,112,
826,268,412,267,881,642,552,701,123,644,696,973,523,149,975,553,191,269,364,
716,117,929,419,957,986,352,014,880,498,697,423,702,634,808,086,629,060,193,
463,786,064,998,680,626,935,310,016,132,872,540,685,349,458,853,268,805,764,
713,893,049,146,568,573,705,272,691,088,620,239,812,299,219,567,302,148,855,
855,572,553,542,139,779,950,864,295,730,747,521,006,261,809,530,370,807,535,
882,763,880,931,839,864,269,277,478,542,943,475,166,732,988,545,135,138,103,
577,812,037,403,094,934,522,644,388,629,175,229,653,939,497,591,357,246,534,
038,675,965,737,506,491,629,707,062,690,465,156,828,558,871,724,006,917,157,
109,024,457,723,874,248,566,705,418,998,514,135,522,274,190,175,509,380,208,
640,217,071,989,456,507,665,306,696,448,315,904,292,040,293,560,873,269,487,
364,076,962,832,030,788,401,474,529,006,989,104,187,581,718,615,423,463,155,
326,788,930,610,867,173,902,026,761,067,285,997,307,662,337,872,219,446,094,
537,462,948,136,387,317,501,328,758,325,645,445,291,986,390,579,265,202,884,
103,549,076,846,480,049,607,346,489,330,806,918,080,176,131,224,721,840,460,
082,975,391,510,128,612,318,324,506,868,752,062,764,512,581,933,984,118,776,
058,151,217,832,937,894,582,162,761,112,838,708,012,141,683,453,684,445,010,
307,633,112,680,733,442,159,563,128,131,041,971,306,189,716,291,957,134,716,
145,856,166,740,706,445,592,811,958,416,038,952,712,390,860,855,556,901,040,
856,629,919,786,446,891,081,785,245,491,127,268,010,974,979,000,768,932,415,
134,012,674,484,436,762,487,428,587,507,487,174,091,709,401,623,774,096,369,
852,906,202,640,123,164,935,200,224,147,610,110,295,022,770,543,470,556,367,
045,818,077,518,455,547,817,302,959,641,607,672,229,180,252,170,333,833,247,
942,527,434,710,414,953,082,647,182,184,854,397,384,101,421,638,704,438,168,
807,830,862,243,774,445,294,102,716,773,575,363,611,974,722,519,409,220,575,
349,133,263,488,806,304,782,251,904,602,708,774,806,417,529,157,272,092,237,
636,374,255,622,178,497,527,153,123,299,825,361,868,671,224,823,745,159,442,
691,017,429,169,518,205,143,794,928,790,852,690,893,129,704,676,641,791,212,
045,187,882,080,961,734,562,882,437,508,708,346,338,446,058,549,210,179,686,
748,786,481,440,828,527,122,346,749,045,419,545,846,258,568,864,035,833,123,
790,540,237,145,980,179,711,005,916,989,509,951,161,297,871,323,965,057,863,
743,552,839,476,475,074,552,820,958,604,301,999,796,122,597,829,033,644,590,
183,962,968,227,718,153,530,138,318,152,404,799,325,378,243,836,076,381,200,
441,570,961,473,540,986,253,009,237,030,277,823,248,066,914,791,399,543,131,
598,775,587,881,558,718,026,004,890,927,761,937,457,792,114,055,809,286,709,
914,313,232,228,621,942,842,576,443,207,721,182,940,327,044,691,155,706,356,
885,285,948,317,052,228,787,323,100,115,895,471,314,680,698,285,670,660,774,
670,634,960,847,871,727,201,361,003,033,931,016,052,771,609,006,203,128,017,
210,265,561,939,110,338,766,029,479,968,029,512,524,101,511,231,258,261,032,
092,013,890,603,424,323,543,228,941,220,953,505,878,895,802,029,232,029,000,
303,275,065,486,217,348,392,321,837,103,396,385,333,060,117,985,493,230,228,
969,187,692,908,643,224,109,634,523,883,778,892,622,506,981,072,824,576,638,
228,696,766,703,149,027,422,847,587,878,795,800,724,294,026,742,697,402,422,
165,868,456,717,643,906,232,816,593,096,501,774,347,674,476,236,486,585,701,
998,842,103,825,761,820,169,468,519,867,261,700,905,480,726,291,894,971,574,
637,518,191,484,489,395,654,824,326,335,159,734,672,639,808,488,004,643,103,
018,088,294,925,289,833,010,404,978,554,697,901,269,082,953,007,305,606,624,
758,794,878,255,108,508,087,001,747,239,585,474,099,840,620,256,486,115,617,
692,535,650,964,901,400,283,522,128,145,420,979,167,934,031,379,466,708,491,
028,809,312,156,240,534,099,858,934,084,294,876,782,392,988,088,533,936,139,
652,352,159,164,719,912,387,288,834,969,211,191,541,941,196,964,158,974,514,
238,222,918,611,207,422,865,860,431,515,925,699,191,273,536,069,623,127,646,
067,762,077,680,212,420,525,877,794,132,698,366,705,179,626,885,349,276,436,
073,054,470,589,096,396,587,465,809,591,387,055,995,619,191,713,213,247,662,
220,539,540,450,560,995,590,187,385,668,928,384,350,584,001,507,299,848,548,
783,514,059,935,247,324,491,169,652,266,029,401,669,028,084,644,006,535,527,
489,317,492,194,472,069,261,109,269,467,523,782,690,716,703,794,936,031,470,
896,336,939,747,290,175,085,433,695,375,998,157,442,190,275,694,320,631,294,
841,480,254,191,759,872,520,016,929,332,230,917,226,214,010,920,700,957,880,
252,334,957,153,100,260,092,031,676,239,930,098,051,407,927,966,634,436,940,
731,566,502,247,890,243,653,512,463,344,637,948,860,555,760,495,275,978,864,
650,338,751,174,491,156,625,409,699,359,698,826,310,494,123,632,934,810,369,
705,245,028,929,273,678,885,845,188,703,352,989,197,007,060,523,752,933,446,
322,115,878,084,183,660,071,092,052,509,714,011,040,627,854,934,567,802,501,
685,418,328,376,271,673,857,803,464,835,806,433,814,497,028,514,096,396,539,
758,582,453,925,963,829,157,199,092,558,978,006,438,250,498,970,963,452,061,
688,089,783,327,194,538,627,749,287,789,143,876,134,395,449,805,666,451,843,
233,517,372,039,022,539,153,344,839,346,070,502,304,731,952,829,183,921,489,
200,685,271,108,635,862,762,844,952,741,169,337,538,481,080,779,307,448,431,
723,127,833,852,565,581,136,044,148,923,149,322,220,317,213,316,658,820,745,
000,520,222,313,937,530,312,837,668,205,567,244,023,201,989,284,435,786,812,
907,370,234,318,474,086,028,703,363,215,734,087,038,891,094,351,164,295,699,
023,221,512,550,444,909,203,874,798,323,346,727,951,787,636,327,132,415,795,
704,190,851,468,477,804,149,702,326,355,888,597,481,662,110,946,420,424,585,
253,294,711,792,545,403,159,930,407,885,787,323,540,048,851,634,125,217,479,
619,880,447,058,202,434,366,448,348,473,913,005,591,630,611,580,626,318,178,
167,016,741,345,163,785,549,737,531,217,266,374,454,381,275,640,548,329,924,
778,842,307,903,844,189,952,682,303,996,958,227,430,440,066,811,273,894,402,
835,481,388,054,881,622,902,362,986,207,693,556,456,537,454,888,091,314,640,
274,039,776,861,785,916,432,198,233,170,833,884,894,636,918,220,578,308,226,
296,948,404,885,397,257,859,882,037,402,522,315,840,589,279,645,616,504,121,
396,129,204,143,258,111,483,465,951,257,348,350,066,652,337,791,583,131,863,
560,356,968,477,287,784,186,486,041,651,373,020,155,917,630,721,848,625,564,
372,083,434,586,936,917,941,496,298,903,634,191,138,209,859,807,230,076,722,
807,260,384,924,603,383,988,725,313,189,445,763,590,749,843,842,119,417,963,
120,760,201,825,444,647,857,381,652,324,476,675,904,594,816,113,060,096,333,
599,891,902,373,135,371,101,118,077,026,683,032,475,804,548,324,711,621,441,
998,237,509,457,296,436,234,877,351,500,448,711,512,733,595,367,296,668,028,
529,513,346,257,849,295,105,419,083,846,186,970,085,560,824,535,178,419,032,
769,579,713,188,908,995,228,790,430,238,742,201,468,975,538,930,484,364,260,
175,475,372,004,770,385,781,065,932,653,420,872,585,302,445,381,835,847,791,
577,208,973,886,877,832,484,373,956,049,213,311,480,787,380,901,978,956,491,
205,582,772,729,793,618,774,195,803,366,999,980,785,649,327,968,999,546,471,
304,439,677,837,753,691,050,273,121,391,673,559,792,568,825,755,294,511,773,
858,778,491,197,611,840,256,777,436,189,828,467,260,447,570,548,826,347,572,
467,823,671,454,449,942,881,709,181,001,779,223,052,964,827,300,729,522,978,
310,193,779,680,562,521,054,712,783,802,803,516,729,401,337,358,651,095,664,
604,971,258,874,806,071,176,933,802,809,286,429,184,085,378,125,235,149,168,
012,006,416,417,345,992,942,554,608,909,399,265,612,280,736,319,082,941,208,
581,415,808,554,208,818,467,904,749,451,796,830,589,223,343,347,979,725,882,
731,523,805,481,303,043,526,677,790,044,368,092,450,507,176,112,371,027,402,
555,480,333,200,884,973,932,012,584,523,654,819,739,332,384,204,909,648,695,
872,142,271,165,547,892,665,307,597,246,425,501,030,473,685,391,703,420,248,
433,818,829,952,936,930,623,732,549,033,718,977,418,794,654,796,226,611,424,
886,617,432,255,434,331,091,764,199,147,073,577,806,469,163,721,185,842,130,
452,079,544,702,481,434,208,416,981,199,322,546,099,035,696,166,504,748,649,
594,154,933,162,992,747,647,096,942,016,717,042,763,395,224,426,229,111,134,
177,983,750,242,554,384,640,461,773,363,486,882,040,262,844,369,643,718,492,
113,494,386,445,918,683,146,458,371,505,252,507,286,127,342,263,593,212,470,
834,423,204,753,825,844,099,748,382,692,355,479,873,541,419,851,755,979,246,
341,294,159,568,606,048,792,304,591,187,386,049,089,517,503,304,543,308,243,
009,551,107,365,059,274,545,144,997,512,586,484,558,909,090,452,614,381,507,
256,189,305,849,770,060,209,309,099,557,941,260,019,004,478,257,670,792,135,
709,367,506,665,601,052,858,374,166,477,641,600,927,917,046,416,350,577,377,
852,201,276,514,045,536,461,018,056,503,078,533,201,523,037,218,779,834,392,
554,660,221,177,694,454,417,263,416,555,083,596,622,980,960,856,996,249,171,
208,765,943,181,957,719,163,550,131,616,206,735,910,073,367,909,238,762,070,
468,605,654,839,187,658,981,485,279,991,962,671,567,133,941,568,831,280,051,
865,334,896,928,900,708,929,611,575,773,884,183,543,805,913,000,762,736,596,
169,243,053,150,090,654,143,516,824,474,910,247,816,812,016,344,663,246,658,
784,464,262,656,820,940,736,260,005,117,720,044,815,023,077,408,251,481,758,
631,044,147,188,824,695,077,066,529,211,353,120,812,604,787,351,598,027,895,
094,758,529,648,228,656,953,397,828,847,516,800,839,092,376,626,112,720,235,
416,545,668,451,408,369,664,115,932,637,437,993,574,051,371,571,215,566,646,
898,552,809,724,652,066,481,579,013,422,558,183,327,255,294,389,115,252,826,
823,877,971,888,553,820,086,256,069,881,224,900,795,358,255,531,074,437,987,
711,696,220,370,988,783,513,221,735,792,800,500,157,092,974,559,788,176,157,
053,114,501,306,994,313,027,278,553,881,184,234,907,992,603,306,647,228,256,
433,078,140,105,162,956,957,750,337,307,558,408,084,084,251,867,934,808,679,
422,063,367,175,394,143,163,689,060,406,116,017,922,778,095,216,960,351,858,
617,126,865,058,139,948,126,326,650,006,548,968,058,953,680,870,551,970,648,
036,000,151,582,129,277,929,118,477,739,323,608,793,813,076,494,901,335,949,
365,621,490,515,483,640,470,740,018,949,298,768,584,622,524,726,151,990,831,
465,498,007,780,436,073,068,892,905,404,992,870,625,910,046,333,796,068,919,
738,991,708,334,167,545,106,879,654,300,485,070,121,530,912,296,962,699,638,
018,896,671,068,268,385,220,688,842,192,494,645,087,570,288,496,791,760,162,
983,340,359,760,155,039,144,874,664,988,828,532,771,082,316,930,533,862,323,
723,405,857,565,771,214,646,539,893,800,305,203,026,846,509,490,022,450,658,
434,678,475,492,419,806,741,762,874,197,494,049,893,689,214,152,057,395,050,
892,674,172,647,830,985,562,669,546,565,094,602,809,458,167,786,008,667,133,
514,034,821,984,288,265,794,363,008,132,994,156,589,780,655,316,353,583,743,
320,303,737,438,576,017,392,996,571,275,798,894,815,060,159,271,624,085,130,
423,418,084,728,383,279,121,340,716,407,086,876,183,755,851,203,360,315,059,
796,856,027,870,739,398,319,944,699,488,415,919,850,818,748,949,761,544,613,
729,057,891,708,967,957,327,968,353,305,105,540,521,602,986,267,758,925,817,
861,410,270,949,420,082,938,325,152,307,478,706,831,309,694,876,463,102,796,
936,093,621,592,105,537,904,840,382,144,568,578,806,270,261,355,838,329,635,
656,711,732,662,524,533,724,990,322,652,789,712,763,146,947,586,853,077,976,
953,929,243,231,407,043,369,018,702,090,341,648,168,522,870,151,197,060,255,
343,098,045,112,561,160,315,172,668,235,909,132,495,167,200,195,293,778,733,
111,479,332,570,678,043,898,002,530,808,586,197,487,158,386,102,669,816,100,
875,934,892,778,988,490,350,288,117,776,892,020,949,496,845,360,537,132,380,
849,882,531,404,537,572,307,055,104,180,367,379,277,689,052,806,329,974,590,
761,308,122,225,510,424,816,299,756,450,530,135,849,977,493,824,629,187,191,
789,732,207,149,410,023,866,005,169,082,350,763,352,893,120,354,298,696,824,
067,013,027,240,326,595,434,592,567,856,569,099,694,810,616,812,744,773,465,
212,331,700,623,184,431,366,668,641,956,861,254,962,026,468,534,970,746,469,
869,135,600,487,659,840,979,261,905,781,004,891,586,402,083,279,576,211,699,
261,230,955,161,158,448,457,514,327,402,584,297,046,716,057,137,687,589,400,
877,320,136,628,174,108,754,286,477,891,493,384,136,335,864,619,653,969,654,
798,376,706,888,123,627,880,709,571,908,506,613,180,895,335,406,403,490,430,
868,932,564,741,617,156,168,325,034,330,843,921,875,530,666,300,518,133,419,
410,758,392,587,823,451,126,986,616,543,078,970,811,767,837,803,298,392,484,
041,177,616,678,390,803,798,794,534,727,666,059,457,367,063,463,707,882,009,
474,902,956,038,268,501,406,436,108,911,285,535,971,032,530,003,130,557,479,
510,652,025,511,303,978,357,063,934,176,323,085,409,344,287,655,736,678,010,
422,397,228,833,877,737,432,643,133,671,271,237,354,531,119,757,939,620,868,
171,438,499,602,443,211,321,360,958,319,192,852,451,283,029,418,962,440,895,
679,646,325,358,458,901,237,456,084,723,205,084,818,615,736,002,060,463,572,
654,247,846,313,410,637,075,954,065,476,772,262,906,881,347,255,059,663,929,
342,103,635,018,933,777,050,274,846,937,618,573,276,926,742,200,563,975,096,
650,284,965,101,031,346,001,070,622,964,459,577,919,403,015,252,543,346,568,
997,395,017,541,885,222,649,804,006,808,451,072,306,923,595,741,509,419,226,
710,802,578,974,364,078,509,246,958,629,268,212,662,868,868,926,571,656,066,
436,989,266,234,090,290,177,649,733,550,232,657,510,370,598,773,054,806,236,
497,931,022,217,958,439,868,410,684,749,394,880,821,736,977,378,492,968,897,
872,551,417,667,508,785,208,383,729,004,369,447,617,595,090,087,822,928,216,
028,222,902,616,791,122,833,547,000,737,896,417,065,093,421,123,708,535,185,
898,432,183,729,997,552,012,097,024,874,759,079,872,912,109,486,528,565,565,
923,420,603,517,307,031,359,985,762,417,006,344,772,669,467,924,484,215,078,
354,774,345,765,040,694,615,989,868,693,623,905,984,257,644,271,751,525,827,
440,193,507,880,190,748,336,822,986,673,493,562,042,609,091,690,760,055,333,
408,996,067,683,287,132,320,964,649,689,388,455,664,479,945,909,108,499,227,
058,504,360,755,781,036,046,052,209,165,137,604,424,625,001,898,471,853,388,
667,572,600,476,776,292,628,119,799,034,328,953,383,626,032,330,240,245,299,
764,811,896,860,523,949,637,031,962,753,609,818,954,355,413,898,132,984,622,
826,063,346,587,379,996,897,365,766,297,570,843,345,787,929,000,304,840,896,
622,093,810,284,588,009,128,286,487,562,244,754,507,087,571,349,436,879,113,
041,510,225,888,300,691,615,376,853,270,634,314,466,894,340,043,411,323,986,
207,530,209,850,517,328,827,526,025,241,786,847,442,681,156,391,590,091,122,
973,692,777,367,904,428,027,054,644,894,175,349,598,341,879,641,737,984,526,
968,347,805,457,856,923,587,175,908,560,611,768,629,128,403,245,275,534,006,
447,861,819,784,982,218,380,567,791,332,112,926,255,059,987,117,125,853,662,
657,027,946,666,870,076,089,584,380,271,629,033,741,808,879,450,465,100,425,
077,332,328,003,521,907,826,089,366,483,830,654,769,110,032,511,060,954,235,
943,596,223,730,298,848,731,292,236,554,264,850,818,934,399,778,677,466,668,
448,378,480,963,170,290,113,655,602,494,472,714,628,192,395,513,205,707,311,
221,181,002,558,487,528,300,274,640,441,112,081,305,460,250,512,386,394,970,
463,173,866,733,520,818,132,925,777,651,937,816,362,701,577,625,783,350,246,
579,461,523,922,604,802,299,841,374,531,606,068,600,817,539,971,315,473,067,
490,036,669,287,948,000,456,192,429,874,279,847,740,298,679,492,360,847,558,
092,902,504,835,515,989,220,752,173,887,397,487,408,473,614,231,865,067,450,
383,220,624,017,202,978,056,302,586,986,648,495,704,425,992,020,454,598,311,
142,370,367,511,863,031,022,370,630,606,468,961,098,127,696,294,198,309,397,
902,501,742,610,746,919,914,180,133,385,280,305,074,927,052,928,139,795,877,
869,042,153,313,579,151,343,294,360,661,313,422,732,694,499,780,173,702,222,
130,758,405,678,585,222,235,749,864,391,976,262,787,152,828,676,483,385,081,
007,566,557,185,085,434,567,760,852,510,952,452,158,456,374,955,206,543,514,
557,700,613,362,247,216,950,351,688,175,538,318,874,457,620,904,974,805,651,
289,389,338,227,581,326,822,874,825,909,041,034,888,748,104,102,212,495,343,
186,230,827,756,119,569,220,742,909,788,930,342,912,290,724,972,758,158,918,
214,918,595,218,626,141,613,559,408,010,096,735,391,205,508,386,851,832,877,
005,228,820,853,751,542,689,633,117,065,417,172,466,105,834,951,033,163,661,
808,133,667,159,288,237,245,032,710,514,434,292,633,727,868,096,439,343,406,
064,951,101,376,737,444,605,036,379,477,931,617,589,902,202,316,798,674,561,
062,491,789,924,792,317,464,930,838,463,752,373,708,338,435,402,890,630,620,
289,259,961,563,959,401,900,553,513,355,997,114,773,546,031,711,842,035,411,
896,097,618,379,978,561,686,351,095,865,995,709,075,036,374,888,601,281,657,
225,404,554,835,068,192,079,002,427,167,820,481,571,430,707,630,234,532,164,
355,036,130,222,520,313,452,800,551,189,769,187,167,752,452,051,513,563,268,
062,284,024,844,366,120,647,802,207,695,740,936,709,620,865,131,010,979,397,
377,516,431,747,097,886,575,328,210,982,915,862,914,571,020,902,565,951,755,
059,647,687,320,989,828,437,832,286,680,797,054,223,217,208,014,774,302,939,
855,023,671,747,536,198,275,813,009,049,356,318,256,610,850,260,489,861,360,
110,235,026,011,433,453,456,240,148,432,359,997,100,467,148,335,044,672,858,
466,758,761,071,131,920,498,252,378,367,093,173,152,339,991,065,791,286,083,
309,679,846,871,466,411,378,430,204,075,368,069,000,107,189,818,578,252,917,
692,500,621,948,763,873,730,978,237,063,205,948,526,694,735,711,712,339,254,
733,318,135,631,691,523,388,682,102,193,705,331,960,582,240,650,168,470,988,
395,790,577,307,000,765,962,295,254,205,354,384,576,383,884,339,213,647,460,
543,959,092,659,399,591,875,091,172,004,519,335,212,969,808,041,957,966,765,
186,365,265,902,825,809,113,638,130,144,571,165,069,505,645,975,536,342,111,
532,627,675,197,814,184,184,157,469,208,937,997,390,508,904,536,727,876,375,
582,475,543,773,800,012,288,352,503,656,942,910,540,840,551,900,037,520,922,
279,124,865,366,647,605,998,934,936,989,435,658,069,534,554,383,984,108,202,
708,374,593,645,942,920,382,989,760,850,684,223,419,114,755,752,401,845,680,
456,300,541,049,976,677,326,963,630,370,548,501,842,463,222,547,483,750,902,
240,526,747,129,158,754,304,875,769,096,259,442,363,294,221,832,471,338,012,
310,892,998,969,098,056,392,941,425,066,655,588,708,249,883,374,795,904,235,
126,331,007,563,289,272,852,221,179,238,358,328,744,684,047,194,048,814,284,
310,014,030,344,064,242,564,075,687,883,386,778,100,410,173,884,189,126,916,
885,535,839,822,808,338,512,700,206,186,549,845,746,102,250,556,825,928,654,
437,424,439,511,923,477,328,443,118,417,490,318,350,042,968,946,043,569,456,
013,821,070,476,741,103,951,159,653,603,823,489,640,044,623,564,764,309,042,
183,318,285,643,754,210,809,574,723,805,107,422,412,636,798,738,706,536,006,
746,025,400,099,597,860,489,386,623,071,716,330,729,815,610,109,854,497,968,
245,006,909,327,005,375,481,811,832,459,364,009,306,063,075,810,146,844,268,
928,502,587,612,219,044,988,788,959,398,231,093,187,313,378,429,205,071,618,
797,099,064,874,966,646,823,170,025,432,905,679,053,630,571,312,465,404,731,
068,015,737,182,990,029,209,320,636,006,515,643,376,499,005,559,331,204,306,
264,224,777,787,524,915,297,250,859,596,004,043,997,911,890,279,379,448,461,
782,098,440,534,705,803,436,105,279,739,317,356,327,953,272,972,883,977,494,
695,342,256,917,454,079,963,735,774,672,992,531,997,973,168,709,254,139,621,
574,390,805,409,727,878,845,529,098,753,972,121,682,849,418,375,915,372,441,
699,797,794,823,394,277,489,700,907,365,784,658,333,373,929,897,776,142,293,
746,683,421,336,253,866,410,698,165,410,019,050,348,862,843,888,167,725,366,
549,583,589,296,945,054,447,953,321,687,374,550,108,790,954,272,029,615,907,
333,732,639,393,531,983,247,414,119,300,345,341,372,308,003,049,118,275,350,
397,974,507,605,726,615,940,686,065,089,100,605,661,585,397,461,800,130,830,
687,017,953,183,169,193,691,594,711,575,004,773,881,198,599,621,566,593,034,
284,949,709,943,643,602,398,087,221,721,747,480,297,693,640,905,622,997,386,
970,690,891,018,271,397,003,082,889,064,844,616,599,643,225,960,346,304,186,
000,040,548,320,338,219,917,587,388,339,255,734,276,194,007,964,102,464,655,
607,838,885,809,214,313,737,023,376,775,997,099,834,178,423,935,448,890,777,
237,912,888,725,319,821,557,765,254,184,138,777,963,033,468,809,586,055,492,
130,785,503,452,460,168,329,383,405,201,119,108,899,088,187,028,748,145,957,
222,643,937,792,643,118,813,324,023,496,067,598,792,307,200,644,681,582,118,
690,580,163,049,165,669,664,675,703,165,096,035,935,958,381,779,355,004,818,
836,749,101,401,563,226,544,521,941,060,458,604,270,028,860,158,856,232,551,
992,161,704,828,035,075,019,875,122,402,014,783,913,656,631,709,398,405,944,
329,968,784,368,750,031,073,729,203,333,065,789,045,316,981,430,615,620,601,
719,141,129,406,416,059,453,645,356,810,536,273,514,607,927,938,713,830,307,
749,586,909,561,429,922,898,693,542,458,662,362,642,381,737,137,886,209,693,
697,110,898,191,841,240,418,677,135,881,333,420,914,348,207,150,752,795,391,
042,207,231,082,524,800,080,362,520,322,581,605,127,925,447,032,534,520,611,
745,441,802,710,609,076,165,076,021,686,740,837,590,128,269,559,856,683,947,
893,222,788,280,331,075,169,097,715,649,110,202,807,901,013,549,361,800,302,
852,414,893,612,998,813,642,937,376,851,935,512,481,272,700,737,296,306,900,
236,184,359,572,802,138,381,524,909,338,623,941,707,196,140,739,744,771,979,
328,673,094,760,541,016,938,015,663,985,412,949,038,679,801,413,896,961,986,
514,465,712,242,206,356,528,785,502,627,106,941,739,802,432,673,849,889,410,
187,928,821,063,443,981,804,547,729,333,358,254,243,494,135,794,199,989,215,
641,349,847,718,902,566,597,189,290,892,612,765,601,698,740,476,462,698,105,
855,776,558,443,748,395,001,997,946,148,052,855,307,281,827,469,852,609,949,
207,904,646,284,503,279,966,765,609,887,819,797,765,604,181,978,576,538,466,
282,982,087,227,539,311,749,680,735,129,665,396,951,828,979,952,681,162,550,
709,084,898,663,719,048,770,245,388,174,291,103,769,424,732,429,379,810,092,
382,618,326,434,120,152,985,777,188,031,563,661,480,815,019,420,084,391,276,
302,897,521,150,514,627,322,803,947,846,880,631,976,537,437,998,803,571,818,
581,734,593,943,838,509,687,448,477,614,233,656,544,594,801,340,494,738,121,
352,243,587,334,098,513,107,113,851,410,755,244,278,317,989,447,677,444,251,
196,088,839,332,343,986,866,947,188,449,798,293,398,822,718,835,298,940,554,
969,767,514,295,450,839,079,053,043,795,968,158,366,500,743,178,518,899,847,
389,983,845,967,093,936,551,547,012,619,788,443,019,446,684,918,557,549,948,
090,351,858,260,232,101,207,251,401,182,887,368,348,585,506,551,373,233,834,
055,707,054,788,388,741,624,994,727,267,134,683,787,162,268,644,231,985,961,
589,709,723,524,453,033,874,126,347,984,097,550,366,966,252,878,305,991,475,
892,538,254,204,524,025,574,993,655,706,132,613,463,149,480,215,574,409,388,
192,923,371,626,290,032,074,833,428,981,773,258,337,697,502,078,435,602,529,
263,946,557,957,185,794,244,388,716,747,205,688,795,990,377,457,494,078,473,
268,120,456,253,578,186,289,004,726,150,160,379,308,819,876,159,717,519,672,
629,555,791,099,133,839,824,441,302,034,964,610,138,321,005,070,532,665,830,
658,513,707,891,707,491,006,851,786,270,188,056,839,276,859,119,436,497,204,
902,873,411,332,172,112,794,815,430,144,117,134,819,637,757,787,378,852,994,
434,469,291,929,304,713,278,268,842,072,771,474,138,213,366,174,151,557,080,
771,413,126,497,660,281,042,049,665,972,044,992,191,506,682,024,878,905,102,
627,514,193,751,207,441,557,106,172,304,150,334,727,855,151,571,992,778,058,
631,100,842,781,855,751,910,662,469,342,394,996,544,500,722,444,312,918,215,
251,950,015,702,783,687,647,466,741,107,490,517,684,394,939,371,071,275,553,
029,919,828,496,702,564,269,332,286,286,039,991,879,109,210,193,610,603,487,
620,682,354,329,085,336,692,159,654,105,122,504,872,991,404,969,775,946,948,
285,885,457,778,814,416,816,493,611,888,398,377,555,302,120,236,394,743,584,
324,317,966,720,166,766,890,792,788,711,533,437,160,471,960,986,277,402,875,
744,114,368,171,406,471,302,722,275,591,973,392,710,881,126,078,592,571,357,
786,592,213,077,010,256,607,896,172,554,156,342,583,089,575,746,689,811,335,
514,729,550,596,626,627,386,415,847,289,722,653,362,707,945,450,203,294,360,
680,822,366,264,540,833,019,661,767,134,454,915,673,790,701,599,261,940,241,
090,503,891,763,148,202,889,925,332,128,228,687,650,350,558,795,935,664,493,
032,644,631,636,887,940,035,909,411,623,965,339,595,886,933,418,121,558,367,
107,615,830,777,714,959,793,845,389,229,597,389,299,692,167,655,955,456,311,
195,942,906,714,317,920,497,888,439,206,881,046,645,026,609,404,866,872,723,
397,282,647,282,647,967,254,941,471,228,148,402,487,276,756,898,676,811,098,
865,763,946,178,369,792,932,603,626,954,103,309,000,168,725,141,186,159,697,
755,573,103,027,439,824,960,853,531,124,611,498,991,033,076,359,548,690,978,
201,026,779,925,277,114,229,805,077,036,167,022,376,985,035,306,031,710,569,
755,719,177,747,591,414,095,192,403,936,335,027,322,650,586,584,405,789,523,
789,632,440,733,711,245,956,069,234,087,410,724,684,428,499,136,529,187,493,
252,896,158,832,262,986,648,689,424,963,329,951,857,138,973,838,542,601,288,
088,830,157,701,121,693,490,676,944,835,311,503,629,868,818,664,643,229,601,
865,529,897,054,212,104,070,452,520,078,723,930,278,025,682,242,542,441,212,
107,790,717,822,875,824,791,277,401,133,058,201,531,259,133,738,485,455,059,
177,932,437,254,843,507,538,995,374,180,485,524,440,420,337,196,450,228,327,
078,381,865,774,736,593,206,287,684,439,175,495,367,689,890,226,203,534,366,
616,506,954,585,341,090,602,452,708,516,378,910,717,487,771,662,584,279,284,
408,356,676,711,248,841,025,662,848,327,138,139,329,263,310,907,372,563,820,
332,607,484,193,983,872,989,999,914,054,539,711,753,037,885,732,559,677,157,
864,429,770,501,092,940,724,165,800,097,064,031,522,524,234,370,461,611,751,
995,465,297,486,223,348,241,197,239,025,313,873,754,195,945,187,856,285,045,
128,677,126,729,584,491,791,327,446,025,907,276,749,363,014,730,031,835,969,
203,036,712,746,064,831,371,671,508,720,189,917,789,551,970,738,522,948,023,
996,273,177,482,784,822,002,649,119,263,360,590,407,662,736,056,191,886,728,
343,300,583,558,435,186,827,590,402,677,787,569,643,911,420,333,268,042,007,
939,253,544,128,077,912,422,215,938,442,044,558,045,181,144,205,705,001,299,
459,096,582,589,475,091,701,867,248,523,631,750,737,975,472,345,499,562,965,
435,747,043,627,712,306,625,214,587,571,262,912,887,243,652,629,349,355,518,
586,529,674,480,713,423,288,545,855,074,772,505,671,612,299,933,301,092,490,
595,449,361,454,999,356,109,786,633,407,800,607,262,483,129,807,545,621,324,
810,859,861,777,925,540,706,026,520,484,017,940,657,118,679,389,991,514,295,
812,378,249,968,264,508,111,272,717,380,155,460,250,249,365,311,555,910,201,
244,320,157,415,126,574,005,938,274,985,852,898,245,950,747,301,796,268,224,
722,131,034,097,778,535,822,517,249,516,309,348,064,538,696,701,984,899,592,
566,632,094,503,968,142,762,796,767,987,391,775,527,899,812,193,938,829,847,
359,426,510,826,438,758,752,782,998,893,726,004,106,794,806,567,108,940,622,
750,143,431,358,556,601,203,879,093,734,813,042,613,910,188,057,293,694,614,
617,383,923,438,529,785,102,447,293,493,051,518,661,148,625,333,919,418,380,
349,352,944,421,453,191,823,439,407,631,204,447,187,399,526,519,006,845,999,
432,777,171,426,170,458,148,270,619,848,643,257,756,094,603,823,694,868,228,
081,128,913,685,990,062,937,561,120,009,049,149,032,013,089,035,212,357,515,
161,274,573,528,026,931,712,730,688,890,983,395,650,333,240,594,515,215,824,
743,976,605,911,593,414,471,735,397,646,149,778,659,311,785,079,862,436,652,
916,177,299,792,559,572,633,403,691,498,115,622,832,007,874,240,058,792,976,
049,138,447,631,085,567,883,955,315,803,845,680,314,787,704,188,953,834,183,
509,700,495,154,405,941,059,330,903,927,583,415,069,190,455,376,068,384,089,
017,305,347,088,320,910,971,838,092,349,517,561,302,488,069,571,463,259,690,
459,018,357,439,358,261,570,949,406,308,367,579,327,719,603,058,643,818,806,
543,206,832,673,921,370,091,168,655,839,153,020,354,601,177,008,363,010,592,
024,838,883,560,133,308,740,969,715,080,686,808,426,543,344,296,338,311,385,
072,030,031,222,552,873,347,544,312,969,453,098,178,838,822,562,764,433,763,
429,344,860,159,219,541,089,374,703,315,127,709,457,918,957,550,667,559,809,
623,706,738,699,480,435,579,953,235,719,575,217,555,165,235,289,392,198,069,
682,673,474,731,853,122,781,447,613,572,670,460,580,189,216,124,465,404,707,
861,320,254,143,761,115,304,019,159,814,464,679,103,733,887,531,321,128,178,
204,591,760,215,456,229,766,210,271,973,082,556,095,083,889,307,884,639,240,
244,556,015,666,598,125,144,825,832,030,829,014,874,622,472,931,655,484,804,
260,833,132,493,291,501,797,012,940,527,075,471,188,160,825,448,865,459,359,
361,269,564,030,491,832,121,224,269,449,856,622,077,129,244,077,244,492,615,
105,753,919,999,116,809,817,688,184,755,030,933,116,903,500,519,115,879,146,
899,118,053,325,057,488,615,037,330,523,686,210,820,690,637,089,133,888,230,
370,443,578,425,002,221,957,462,146,747,360,395,728,209,626,689,524,304,095,
081,403,143,284,553,946,183,721,500,769,779,001,880,527,950,571,864,644,211,
497,273,526,003,030,141,715,198,328,453,596,711,687,811,060,348,052,735,377,
783,321,353,918,252,154,599,225,137,848,379,505,133,867,857,597,177,739,979,
433,688,182,047,865,347,751,145,431,690,572,292,699,113,367,297,648,550,173,
218,045,588,324,734,674,750,487,583,979,992,412,613,284,283,417,352,531,346,
107,834,832,536,594,266,948,847,897,827,904,144,154,192,754,466,641,986,609,
133,428,141,888,956,098,534,271,579,527,642,597,913,005,491,887,455,233,264,
441,511,090,359,519,239,173,794,550,289,181,987,190,088,284,617,011,630,543,
982,241,915,749,638,256,376,275,212,066,269,462,805,703,783,710,290,788,436,
317,351,966,530,560,564,203,728,649,211,091,106,201,071,705,980,935,352,993,
913,251,175,800,914,179,207,454,097,389,086,737,177,507,468,217,363,173,630,
874,321,147,684,854,381,097,264,182,997,455,980,059,467,326,718,615,755,591,
160,382,978,121,789,835,670,400,328,269,727,067,216,874,795,542,205,771,060,
738,587,544,224,121,741,010,528,937,404,059,685,648,316,303,103,447,614,532,
163,822,813,414,241,064,296,279,170,447,608,142,868,996,549,533,226,341,778,
778,208,356,643,313,566,716,506,795,747,031,319,426,975,673,939,808,363,523,
935,464,426,329,572,306,764,261,310,720,604,654,529,457,152,929,241,720,008,
973,117,286,281,207,133,682,898,134,976,353,655,746,306,507,693,295,437,989,
970,041,411,625,574,430,107,573,969,917,676,592,574,248,708,198,065,691,536,
485,137,196,815,707,930,588,851,137,973,923,429,656,785,447,003,764,524,053,
098,476,749,318,838,027,853,653,313,922,040,102,403,679,119,249,738,566,240,
314,902,888,210,898,478,363,033,015,321,208,046,102,507,869,589,540,775,168,
973,137,684,417,254,640,577,259,654,301,735,036,239,627,330,060,446,729,509,
045,974,077,097,045,225,026,104,893,408,331,800,596,695,824,200,901,438,337,
228,181,127,151,418,337,800,246,124,879,287,071,836,342,094,540,114,525,171,
859,781,601,709,794,551,101,608,018,605,833,126,059,558,539,078,995,741,430,
875,411,327,883,842,423,911,350,879,209,560,298,732,679,203,729,169,917,749,
520,437,846,511,227,420,503,132,306,064,163,718,703,544,320,512,890,568,485,
461,112,869,010,019,057,925,968,823,242,037,423,051,345,470,135,134,229,720,
841,436,825,644,579,977,583,689,568,078,644,673,302,535,799,778,830,428,101,
303,446,652,081,904,934,930,645,481,900,755,033,989,457,532,149,491,027,057,
395,802,525,734,512,283,123,731,044,944,424,823,644,843,800,559,794,965,115,
753,994,484,146,306,080,178,000,677,461,888,050,509,177,341,015,605,088,994,
834,548,350,543,941,980,809,997,376,918,412,384,935,249,376,349,682,385,274,
845,102,735,911,704,382,292,735,360,937,844,410,861,676,016,219,949,111,786,
119,520,872,397,437,249,298,986,597,630,413,338,876,130,040,262,813,959,356,
025,475,386,337,555,331,392,044,351,686,096,781,649,016,177,884,852,871,233,
727,325,098,584,433,036,297,480,124,053,385,972,595,255,271,707,082,430,802,
062,870,165,174,948,081,663,830,497,976,878,312,287,582,434,054,710,906,362,
312,188,287,592,242,179,374,707,752,517,012,713,764,850,741,971,123,472,882,
862,529,577,525,001,232,550,781,461,830,484,058,877,801,368,733,268,905,187,
142,918,236,298,035,084,189,942,891,649,411,009,601,842,228,984,237,511,542,
866,141,685,631,814,767,941,361,623,905,451,561,343,221,921,293,575,269,049,
830,351,653,699,926,614,322,295,701,157,440,180,580,808,422,984,821,565,877,
544,329,573,886,062,251,305,646,079,812,536,921,934,154,074,778,468,084,139,
507,742,338,158,680,205,513,344,315,043,388,161,795,734,712,039,097,492,602,
743,964,915,003,441,616,942,848,372,822,139,585,877,037,808,684,851,846,663,
215,169,408,416,259,757,950,305,735,977,079,259,580,849,455,700,505,616,220,
365,643,322,442,900,341,198,327,313,107,120,536,139,661,314,916,165,790,467,
819,071,475,814,407,214,714,475,392,032,294,290,182,396,342,135,177,378,791,
424,922,341,120,923,418,576,386,156,652,965,876,625,818,675,940,749,930,107,
958,817,968,715,564,152,416,901,915,665,225,840,259,887,311,096,780,413,028,
997,427,404,096,063,467,821,051,735,852,965,290,786,085,989,507,068,609,079,
747,828,091,131,385,188,767,707,407,983,813,897,336,608,700,783,354,521,819,
003,817,893,925,727,200,201,879,597,677,678,290,365,192,632,514,797,352,090,
537,049,462,247,621,932,371,075,011,428,310,970,668,482,729,056,124,920,303,
442,193,970,183,078,536,666,104,615,002,845,599,836,706,120,517,415,336,981,
065,718,750,302,004,165,360,175,826,758,789,244,654,175,424,165,859,383,215,
560,960,532,219,654,201,128,950,520,335,247,620,063,865,685,992,583,423,588,
464,177,556,069,345,745,893,318,909,185,284,212,256,170,238,630,224,657,774,
731,853,012,859,477,768,820,843,276,738,048,311,697,852,067,743,925,808,890,
512,545,072,876,188,658,107,550,409,317,010,313,361,362,037,536,038,748,745,
818,133,917,615,820,361,514,786,739,771,584,604,199,619,729,869,906,476,713,
711,423,084,238,947,566,800,064,314,131,107,761,721,947,912,374,274,865,058,
312,299,586,261,966,380,793,132,050,391,369,697,724,906,812,530,035,846,170,
942,294,601,669,203,155,239,313,625,821,215,755,831,798,273,141,644,927,002,
780,922,176,742,830,636,805,774,224,027,894,505,571,994,001,344,487,337,671,
579,718,257,333,572,885,754,608,848,695,070,384,517,469,721,269,447,909,324,
627,362,951,360,007,895,964,304,631,378,876,691,093,023,895,889,306,000,302,
023,854,364,326,278,494,597,800,198,298,551,671,513,930,818,417,844,713,144,
849,946,231,747,795,306,257,240,833,978,967,492,898,039,342,761,000,988,603,
732,692,147,010,219,628,712,929,916,376,820,413,666,454,612,011,956,238,973,
534,560,808,182,882,735,413,778,954,231,816,895,979,147,603,979,923,549,197,
230,284,573,855,628,246,140,341,649,534,120,154,076,117,122,757,481,829,128,
082,041,284,709,646,853,233,001,402,449,166,467,427,705,054,520,034,232,225,
362,417,125,507,461,911,938,044,080,447,085,413,520,977,920,190,038,603,973,
542,507,658,972,887,249,341,833,952,491,265,826,976,561,723,992,203,356,827,
952,702,843,420,045,874,572,385,616,641,884,043,363,449,914,823,666,644,103,
000,436,143,225,149,893,624,240,909,509,245,776,728,892,793,926,936,895,893,
854,432,168,538,143,611,570,149,100,219,936,987,313,972,333,948,274,463,051,
682,214,978,392,970,938,248,530,738,332,388,329,016,602,188,611,978,181,299,
137,021,974,141,386,392,628,950,990,011,836,767,529,329,630,914,601,651,127,
999,829,183,114,071,327,113,634,798,653,170,777,053,344,853,936,965,061,762,
124,397,634,803,372,824,920,726,144,686,892,881,943,254,784,490,279,426,826,
578,762,596,470,536,394,732,353,159,341,103,734,986,575,197,430,236,072,611,
117,557,163,387,478,910,394,363,269,278,814,212,560,918,592,484,083,061,360,
948,035,465,192,361,866,133,763,038,780,505,043,996,445,827,766,173,781,100,
245,327,917,232,675,626,479,545,298,392,587,486,275,561,699,552,586,879,609,
941,026,387,271,357,240,978,114,716,308,255,605,435,368,686,542,891,174,832,
922,020,529,560,650,162,337,891,599,049,208,663,144,998,536,906,218,951,966,
224,893,633,927,455,884,402,606,744,859,537,567,761,906,184,613,787,950,122,
727,027,274,340,301,997,490,294,297,879,881,885,371,325,663,912,154,373,227,
961,652,303,531,863,686,339,773,861,274,562,116,561,293,560,243,541,943,577,
734,775,964,096,509,163,087,734,227,023,314,490,144,136,923,293,389,786,837,
999,506,047,882,512,534,717,708,641,809,428,851,552,774,029,564,312,891,035,
964,328,162,860,440,803,461,238,424,551,415,210,699,789,091,130,899,357,215,
161,686,498,454,446,776,594,731,859,492,540,332,160,319,911,734,557,346,214,
839,171,176,402,649,611,207,465,688,676,543,151,125,972,559,362,762,458,018,
375,792,014,791,697,906,292,101,834,689,988,970,033,243,960,145,127,814,197,
414,909,856,799,030,534,711,447,378,297,976,454,046,637,457,980,064,081,642,
388,434,391,602,806,885,966,727,481,833,260,762,315,567,571,411,137,972,429,
955,821,179,832,777,889,006,070,746,866,770,691,252,180,435,362,310,343,416,
323,746,207,713,210,960,952,378,020,544,946,647,498,211,759,085,057,747,930,
011,794,773,996,037,604,841,428,369,088,786,802,737,752,032,759,167,540,786,
075,544,106,140,563,736,729,529,561,091,540,999,257,770,932,957,018,496,518,
759,781,253,807,134,029,342,989,617,028,250,035,799,860,020,745,393,414,234,
316,624,990,900,487,812,168,009,649,425,505,397,883,541,686,715,924,088,663,
634,108,574,428,350,193,138,269,167,522,597,601,558,968,391,120,148,570,123,
387,945,950,548,835,882,426,368,843,766,326,875,844,947,231,717,788,071,219,
552,786,683,235,236,062,452,355,231,618,783,139,282,356,138,357,507,393,985,
953,372,812,495,033,619,294,438,484,271,643,216,093,135,489,687,822,651,620,
921,074,655,319,502,013,971,358,228,815,218,768,655,355,738,899,584,985,913,
576,802,592,494,751,755,989,548,359,607,812,934,942,723,854,594,210,362,746,
051,050,668,208,171,818,146,887,923,761,831,933,096,624,486,108,772,863,584,
233,094,588,998,983,293,476,858,653,075,706,189,270,162,166,117,045,526,880,
439,621,273,381,556,390,038,668,860,104,096,198,555,786,056,874,920,980,362,
596,904,521,770,327,122,308,448,095,788,645,107,494,450,884,576,377,583,789,
826,405,224,835,650,360,794,030,394,234,838,246,178,337,536,050,566,005,397,
673,688,572,244,030,633,903,920,479,473,668,001,508,440,285,795,729,142,294,
771,381,810,821,052,229,955,499,607,804,782,898,254,872,682,688,662,604,643,
677,811,975,471,694,728,484,859,905,204,732,279,913,564,017,453,726,926,888,
864,875,683,610,210,206,034,400,572,898,197,215,724,769,090,532,762,422,326,
953,477,226,494,971,020,412,150,638,193,766,469,387,084,599,975,420,259,381,
912,329,460,492,380,806,947,549,698,604,456,206,281,123,766,726,232,148,517,
269,711,976,979,702,135,300,007,904,447,629,987,282,839,570,420,356,318,613,
299,056,687,699,058,644,909,913,904,197,704,068,315,908,835,813,555,782,078,
733,649,554,473,937,559,249,147,179,072,435,823,901,513,270,020,427,779,055,
961,739,976,535,436,201,994,180,729,362,253,681,200,984,812,489,983,735,335,
221,646,242,112,922,277,685,300,049,439,047,987,420,719,226,931,191,287,790,
820,815,431,986,476,298,114,797,496,070,816,396,120,790,645,143,701,928,657,
608,213,999,891,109,260,673,974,596,429,194,799,477,840,657,630,655,651,881,
429,586,175,658,957,867,178,709,674,934,172,316,758,650,940,474,647,773,726,
023,917,834,403,525,265,659,524,620,647,271,693,423,652,526,172,639,474,503,
779,290,270,847,262,971,870,855,605,254,441,220,086,616,699,957,845,677,578,
837,267,766,051,801,588,462,417,075,446,416,855,258,329,019,195,578,058,203,
604,202,718,885,304,041,078,309,357,798,989,734,958,050,268,661,496,314,944,
123,572,478,097,048,222,233,908,006,407,484,205,298,232,029,767,789,533,855,
596,923,265,528,112,388,203,034,273,779,126,147,357,902,526,730,437,957,631,
071,152,300,179,137,974,643,337,599,809,191,424,816,037,585,165,574,494,155,
963,436,712,908,179,018,397,235,551,625,629,557,668,154,067,714,787,733,663,
744,526,886,169,363,007,715,184,053,506,423,959,060,181,605,794,633,640,647,
457,696,609,274,497,230,720,739,391,246,885,363,416,850,661,269,144,847,389,
038,291,841,195,628,581,468,646,530,457,471,357,792,075,068,389,376,492,593,
155,211,524,029,283,400,521,537,456,580,602,129,039,394,273,651,977,083,686,
240,719,471,115,580,058,357,427,486,504,871,487,372,183,203,362,094,507,566,
180,223,176,460,309,346,044,098,446,883,532,173,756,227,878,225,118,075,431,
330,481,581,919,953,970,226,496,005,238,536,992,417,066,225,104,364,264,977,
644,748,505,354,347,333,588,641,734,869,458,865,873,970,905,193,834,666,524,
573,820,862,374,349,457,597,715,330,995,537,530,053,955,218,289,173,039,357,
759,749,557,257,527,818,731,740,820,232,252,570,084,367,979,915,032,413,753,
785,443,415,791,453,334,738,837,720,523,515,483,657,536,593,951,348,787,653,
204,050,538,902,611,161,111,121,395,212,969,689,215,577,429,084,742,315,557,
232,392,315,574,377,173,681,290,655,118,723,851,452,943,132,314,290,134,492,
869,223,518,340,473,643,746,297,826,809,671,776,590,382,184,620,790,020,835,
668,743,272,708,218,528,719,381,274,244,601,649,420,521,894,183,742,031,864,
891,647,971,180,325,803,421,215,512,355,026,301,455,319,490,065,999,880,157,
262,348,748,904,497,871,538,312,238,793,767,715,567,447,457,189,134,472,455,
912,736,993,484,172,319,352,976,376,691,587,310,894,086,742,711,325,368,474,
038,384,364,870,002,036,416,486,114,682,814,561,058,034,157,845,261,495,567,
577,667,035,979,606,870,649,690,356,797,565,636,715,285,276,256,516,037,030,
485,736,892,772,481,245,187,606,304,566,971,160,783,986,190,384,053,061,265,
441,535,980,336,776,252,905,441,767,861,137,482,754,069,879,588,097,058,320,
924,118,028,714,146,009,496,766,401,956,481,762,948,479,475,449,289,630,578,
875,139,907,166,688,893,406,966,489,250,951,313,017,101,401,049,112,942,499,
791,756,108,690,839,597,137,955,237,054,501,479,433,148,461,396,738,435,284,
673,311,491,243,334,656,953,054,835,395,233,421,299,158,245,552,996,261,443,
293,403,173,284,162,560,758,875,946,883,856,293,863,418,451,126,372,924,615,
951,135,129,906,841,597,775,171,618,049,920,885,713,122,293,996,178,307,638,
041,432,842,377,684,211,429,026,727,387,041,442,392,594,353,422,251,052,054,
010,399,933,857,911,222,475,507,474,720,560,949,333,400,333,010,702,504,904,
424,134,457,430,536,127,185,776,464,019,115,870,173,270,119,599,266,933,586,
373,576,872,706,251,407,601,061,057,702,945,266,789,434,573,876,408,810,168,
562,965,952,880,589,621,819,660,372,852,059,603,400,340,924,613,247,966,414,
035,770,275,483,859,943,347,086,255,864,125,087,894,057,144,554,091,081,636,
469,870,977,403,762,820,654,672,548,328,159,887,352,153,078,548,136,387,442,
391,865,607,609,352,424,066,330,027,576,385,160,635,527,136,828,810,944,693,
881,226,931,183,800,203,123,123,707,027,446,250,877,812,987,262,931,255,574,
023,180,778,867,286,730,125,403,896,291,745,869,099,719,121,630,362,621,074,
441,674,014,072,812,534,910,906,518,170,340,559,620,020,666,589,286,124,594,
518,151,044,916,057,376,791,303,106,042,115,645,481,659,927,851,267,874,510,
712,226,438,848,707,995,737,929,659,077,878,542,370,169,528,302,873,498,460,
233,719,720,016,717,939,095,516,133,350,366,997,361,728,558,274,209,035,313,
844,779,476,003,448,698,011,871,572,638,221,070,379,426,797,007,123,119,185,
197,027,320,623,057,134,628,328,562,654,124,511,405,025,458,435,600,858,948,
137,091,121,519,603,384,395,706,620,020,531,777,150,918,895,949,989,393,922,
216,774,795,310,433,430,740,577,116,426,995,176,203,943,532,765,730,770,691,
358,843,322,124,377,461,254,426,969,787,774,749,115,240,834,470,317,383,083,
854,495,002,564,608,185,365,177,304,547,758,612,952,994,774,283,417,760,899,
452,649,401,417,555,542,673,117,005,254,033,405,245,339,126,097,529,135,048,
678,881,172,297,675,635,602,100,256,293,609,090,060,350,783,381,830,984,449,
658,899,565,735,446,304,496,458,594,016,041,457,218,296,721,357,375,887,947,
794,071,296,525,220,484,974,339,020,389,338,479,218,114,361,408,994,465,926,
783,175,010,085,435,539,332,016,624,786,969,915,787,730,970,369,733,296,768,
317,594,139,942,673,377,680,336,563,328,512,604,269,488,098,244,832,341,264,
648,297,059,599,339,285,621,222,005,417,654,574,285,935,958,105,485,624,277,
746,868,550,401,582,131,653,602,490,564,176,143,857,714,805,165,840,051,723,
765,861,317,756,527,488,529,452,858,400,285,685,891,640,814,612,469,732,453,
157,614,691,145,907,450,013,042,149,252,339,438,607,946,611,414,624,342,647,
746,574,226,959,296,563,281,748,342,618,675,370,473,933,115,374,663,433,378,
884,039,098,526,602,228,944,913,167,509,900,410,193,813,586,736,332,113,385,
628,979,947,558,223,049,904,752,295,526,523,111,862,944,194,426,098,049,041,
594,062,766,217,014,565,972,042,869,027,186,676,048,911,475,115,937,835,351,
309,571,860,041,392,790,219,110,066,024,735,040,600,067,626,351,588,956,912,
848,645,858,336,624,900,410,218,326,559,070,922,655,178,084,264,280,385,211,
733,381,345,740,664,163,501,206,981,767,342,236,554,166,154,877,358,270,669,
006,080,757,851,010,779,703,021,533,899,743,760,838,061,719,957,399,028,142,
053,292,960,118,963,396,895,086,670,162,011,495,801,844,421,329,787,367,063,
918,650,337,678,364,606,794,662,645,149,138,369,698,268,122,687,174,827,444,
243,990,679,395,527,948,820,868,659,642,993,380,051,488,873,918,371,955,530,
176,239,964,598,770,800,287,609,167,844,486,051,478,104,790,422,818,170,963,
936,804,718,245,728,189,747,940,910,950,810,124,690,777,604,522,345,237,911,
322,339,370,375,190,854,600,641,370,470,358,839,927,719,658,797,435,871,021,
940,767,118,216,274,757,383,593,988,363,040,076,009,321,468,470,104,453,371,
338,013,261,499,853,590,344,213,849,548,507,714,534,090,731,050,377,480,868,
367,170,772,218,432,183,368,600,656,054,379,112,720,240,179,506,138,520,016,
423,487,367,310,431,104,280,789,864,599,409,994,084,819,523,574,924,589,356,
626,066,469,565,443,661,663,405,054,409,163,376,653,259,206,255,175,996,480,
417,046,104,909,226,020,914,335,331,180,560,156,537,780,875,803,408,063,422,
624,688,211,473,869,463,840,198,034,661,858,973,898,057,391,148,881,629,558,
595,841,725,139,127,041,373,947,965,702,759,813,121,374,529,956,834,314,530,
298,396,565,597,464,479,761,170,494,955,541,839,209,105,896,042,170,410,701,
595,799,687,695,124,540,835,992,958,521,510,264,752,098,243,939,286,010,316,
691,454,954,060,292,092,572,890,632,269,778,111,893,397,817,669,567,510,465,
159,037,986,913,968,522,649,045,867,510,067,783,571,138,678,057,809,011,109,
103,297,516,988,858,957,767,688,579,515,862,394,506,525,355,753,302,151,543,
886,698,985,723,452,406,112,330,812,383,978,182,881,721,927,999,944,783,986,
090,466,279,264,415,039,967,245,303,644,362,527,466,692,114,918,994,159,246,
853,374,117,619,430,283,749,977,194,270,354,147,879,413,406,019,194,481,768,
358,334,563,154,028,906,865,983,418,312,356,248,568,297,637,416,112,066,218,
621,803,593,873,789,850,509,679,827,673,324,038,141,841,499,621,027,587,504,
402,082,691,451,558,933,989,582,528,665,201,901,623,925,780,462,125,242,533,
916,665,786,445,844,440,569,005,420,965,184,262,931,316,891,579,321,300,330,
686,901,988,376,619,206,799,961,784,226,857,959,397,604,940,600,047,916,404,
589,836,736,604,134,920,935,333,387,122,561,258,047,529,483,168,949,052,739,
055,219,398,738,582,864,590,108,616,027,416,167,208,810,811,086,405,729,975,
487,046,592,064,388,754,375,051,784,697,026,591,678,363,859,023,772,631,281,
476,882,212,304,941,040,244,811,957,671,567,395,394,291,746,625,238,956,480,
270,093,217,790,308,761,543,269,272,434,432,343,529,467,279,215,989,737,033,
456,852,469,956,023,759,231,345,470,284,282,000,328,709,740,116,117,270,964,
072,378,995,947,667,045,373,693,092,538,309,682,751,391,038,634,031,698,228,
396,318,398,683,043,062,998,647,475,256,397,619,552,490,562,056,027,875,716,
560,845,145,011,614,488,197,169,430,821,765,113,348,999,595,527,213,848,012,
960,753,098,546,311,642,711,661,387,070,664,064,521,993,883,477,739,850,596,
447,422,307,997,759,285,417,861,128,851,930,647,950,792,223,255,436,325,876,
262,242,913,168,312,862,411,455,148,608,764,789,469,244,226,993,810,236,326,
138,693,411,326,307,500,470,102,277,907,057,751,296,592,719,845,651,121,118,
072,985,840,285,897,584,808,634,456,678,034,833,491,437,194,991,574,341,545,
197,220,672,872,998,428,262,212,759,819,491,186,115,273,187,154,468,850,805,
565,405,315,296,430,738,884,698,766,987,388,168,994,057,709,305,312,451,225,
753,497,396,642,448,217,591,613,794,453,289,273,436,597,185,063,069,556,652,
144,635,509,672,054,172,551,942,067,679,629,852,657,024,878,274,168,619,570,
099,873,522,613,298,269,418,630,334,137,649,363,812,933,559,623,470,736,430,
889,328,791,666,527,903,687,441,121,311,918,367,612,430,758,723,241,618,825,
334,440,138,116,771,420,473,704,232,936,214,042,321,135,241,334,693,584,651,
876,783,820,048,603,876,588,841,124,614,854,907,781,800,983,831,957,059,298,
375,121,637,767,823,171,347,007,682,102,705,619,336,515,949,331,621,008,613,
066,560,981,681,036,762,081,910,445,014,679,287,588,986,880,250,722,294,411,
247,309,882,530,329,019,849,491,626,675,825,963,913,493,322,190,177,968,886,
408,621,648,570,121,567,650,600,905,176,690,064,518,018,924,738,080,947,830,
276,742,630,050,995,590,653,821,025,634,001,543,251,636,475,224,858,399,306,
156,041,121,522,782,194,550,102,042,029,889,462,722,970,520,055,948,847,538,
797,919,568,256,798,590,042,567,766,000,281,255,254,287,131,558,257,158,084,
254,639,966,010,366,948,978,997,794,063,617,140,736,956,301,102,042,670,673,
761,322,572,993,927,451,185,256,729,017,149,219,951,550,319,042,282,977,923,
665,428,225,318,088,621,877,735,016,805,728,429,393,861,518,696,465,268,918,
612,363,058,196,425,542,669,237,210,566,463,955,616,153,987,449,910,439,077,
038,249,952,591,703,287,396,528,761,150,625,572,374,378,179,883,008,303,449,
258,322,507,624,198,484,769,616,395,952,195,077,648,874,044,726,708,817,150,
100,858,570,483,965,397,797,285,502,669,646,918,930,311,901,356,935,230,262,
482,109,530,737,823,240,077,027,172,973,544,362,662,481,358,704,691,559,582,
722,676,047,174,827,671,610,089,762,004,565,335,412,209,725,511,831,247,406,
255,353,703,168,579,429,914,988,098,894,777,979,548,488,774,649,296,000,965,
425,060,515,609,172,063,085,027,592,167,656,694,395,189,374,747,125,226,635,
208,634,037,423,707,409,386,612,317,948,096,253,456,068,151,071,486,005,863,
488,131,832,217,181,578,811,354,182,005,922,501,255,453,350,635,904,885,121,
944,421,377,668,767,765,772,130,775,438,373,314,370,865,751,314,363,078,269,
420,685,651,782,651,193,167,622,318,815,847,443,245,553,884,183,735,763,065,
513,512,092,499,114,161,213,210,795,637,365,621,037,198,129,788,409,408,625,
035,066,196,441,869,331,072,623,418,151,418,895,335,441,414,326,390,012,230,
933,087,278,619,854,196,588,386,683,845,246,965,996,531,757,229,084,498,328,
377,323,966,000,111,757,319,534,313,954,663,883,086,674,972,459,353,543,553,
648,967,828,343,634,307,265,815,356,560,326,403,449,326,714,520,202,629,154,
981,106,293,337,393,335,464,931,155,417,157,931,148,379,533,195,155,034,596,
247,292,686,185,759,593,725,097,881,554,388,064,841,627,194,037,423,865,230,
848,106,613,027,962,744,933,407,040,833,686,674,670,963,660,038,607,983,847,
792,237,022,362,041,909,671,016,923,833,187,263,213,070,730,996,269,438,859,
297,693,023,364,889,820,138,907,096,938,814,282,751,139,187,810,664,186,928,
903,589,049,238,930,076,785,752,014,390,499,259,694,835,610,667,210,604,167,
551,748,980,415,906,686,558,971,704,536,062,909,823,523,238,046,171,475,102,
710,435,979,346,366,874,605,761,201,777,072,096,844,997,175,313,727,008,438,
102,293,898,795,625,565,186,825,329,061,935,468,478,136,815,934,200,183,963,
522,032,067,033,460,300,952,706,880,426,692,535,958,455,678,197,348,292,348,
310,677,462,058,578,397,473,116,640,411,823,796,039,898,776,649,239,256,812,
534,164,103,384,041,370,423,962,770,013,749,684,059,262,781,789,716,091,546,
048,168,331,483,658,851,041,902,941,602,242,312,944,221,480,384,643,375,892,
875,167,135,228,430,070,806,302,659,603,436,880,464,659,291,331,487,899,150,
348,381,198,704,567,708,749,934,603,814,324,205,184,270,535,009,311,316,761,
699,674,615,857,644,595,910,278,085,083,674,685,756,360,484,327,922,908,741,
247,050,504,798,500,277,862,333,533,819,256,684,334,671,751,602,079,152,379,
631,965,410,879,813,543,196,553,241,754,493,495,931,664,149,603,125,979,494,
621,719,842,277,880,936,534,991,229,722,942,185,399,725,834,669,822,622,027,
329,126,552,996,071,315,770,310,311,783,668,941,203,473,347,082,474,604,872,
731,285,363,657,554,309,596,830,322,949,509,763,161,171,716,380,361,050,771,
183,668,329,630,206,123,275,775,325,122,526,576,572,474,698,478,014,964,657,
830,450,728,673,174,794,627,684,471,410,313,660,912,729,305,633,031,691,676,
576,008,214,913,026,609,919,009,480,327,396,574,870,227,285,755,534,063,392,
917,074,531,824,226,686,604,178,473,681,719,619,099,876,586,159,218,445,105,
995,131,485,182,740,891,943,136,180,901,133,528,417,533,721,772,894,817,420,
483,732,649,591,036,310,603,948,640,400,100,347,889,442,299,961,316,584,780,
164,107,075,126,716,021,148,756,392,724,621,968,373,576,328,040,591,852,388,
999,987,362,433,031,344,212,289,924,503,448,662,290,070,068,202,325,949,150,
808,559,260,987,201,944,185,539,464,969,230,330,514,056,308,867,857,389,928,
638,984,564,502,953,249,055,907,657,166,977,252,260,483,747,488,002,702,762,
394,470,621,235,909,748,128,343,492,320,101,888,206,423,986,045,788,574,831,
399,035,879,723,089,797,135,621,866,247,629,760,166,388,233,649,144,377,908,
889,064,540,055,675,014,418,722,500,254,882,518,056,029,313,331,194,356,136,
957,520,767,890,687,459,244,526,411,933,955,161,170,283,768,803,546,664,140,
078,047,497,139,411,738,687,377,223,319,307,879,071,917,431,572,454,155,222,
244,298,594,190,294,845,573,436,139,981,643,344,014,073,278,641,844,587,550,
115,858,866,964,301,637,833,125,475,265,197,867,847,276,267,307,883,768,809,
501,932,633,890,887,350,682,823,785,786,170,790,873,859,307,787,553,448,489,
340,181,593,472,660,150,537,771,186,263,480,141,836,645,306,570,857,233,358,
440,369,563,319,723,198,426,549,079,646,173,630,483,306,847,943,050,833,234,
072,601,628,820,385,733,783,972,533,666,441,343,774,252,169,537,396,573,762,
111,341,554,561,010,544,074,234,299,458,920,664,828,241,000,362,737,585,349,
046,551,896,684,293,452,824,352,911,255,146,659,278,424,679,686,874,020,647,
651,326,443,290,903,354,129,177,371,236,449,203,845,910,789,181,989,378,898,
605,689,449,652,358,710,963,639,517,945,323,819,893,933,204,007,208,102,427,
308,544,265,044,202,674,898,071,663,567,314,089,302,562,932,001,548,553,628,
082,495,144,601,168,508,465,749,533,849,841,067,599,010,810,175,936,886,212,
931,555,829,970,606,505,744,458,396,738,341,496,715,866,862,715,385,401,847,
570,189,495,272,992,040,733,607,722,627,110,547,529,321,190,412,119,353,427,
644,568,553,623,459,617,656,063,391,537,188,527,213,847,051,362,813,060,325,
427,211,579,749,424,989,712,207,882,492,014,775,912,601,638,786,736,630,095,
007,007,654,722,049,177,676,814,602,222,092,736,527,797,833,534,828,821,617,
434,369,164,649,428,461,882,783,472,057,419,835,884,744,720,024,322,150,124,
261,969,148,716,839,118,543,961,853,943,682,518,372,261,638,651,056,625,391,
777,099,610,065,089,175,380,426,132,638,836,901,419,275,879,423,603,055,671,
273,006,551,095,700,439,840,621,447,590,616,224,457,112,998,607,382,738,673,
233,478,060,583,142,914,434,306,392,385,811,750,330,540,285,217,183,320,411,
369,036,477,192,131,461,896,312,099,300,062,854,098,244,603,098,338,509,064,
099,796,211,127,096,965,010,152,144,204,286,437,871,511,235,485,337,353,347,
171,881,465,596,525,420,075,556,185,220,657,446,812,065,846,596,373,497,433,
516,748,466,458,324,478,313,983,566,456,412,185,230,045,357,131,732,538,722,
263,080,132,694,028,515,653,737,605,312,429,286,564,898,172,873,787,912,531,
103,998,445,664,171,073,154,994,600,549,126,196,983,881,451,913,355,161,205,
859,424,247,575,772,115,046,586,757,683,567,520,838,807,283,367,128,357,368,
359,623,105,974,385,913,538,314,020,675,610,744,143,475,702,356,910,112,630,
981,297,424,140,999,928,989,087,590,991,785,421,242,760,437,491,474,952,598,
033,772,373,972,014,316,347,058,017,922,548,860,086,274,383,460,219,001,816,
432,804,940,864,298,485,398,454,810,479,512,476,230,020,132,519,037,408,630,
290,885,303,641,856,754,781,247,397,650,623,377,206,473,247,982,192,696,849,
571,197,094,607,586,869,927,785,370,124,403,056,205,916,062,602,918,049,286,
509,425,803,686,671,999,618,716,045,746,843,753,025,337,374,362,760,342,919,
572,825,724,765,963,793,511,591,357,240,441,433,611,870,177,993,238,161,676,
868,721,301,614,580,609,939,536,986,060,994,087,685,588,828,798,521,218,190,
244,365,245,594,306,411,602,317,170,466,608,274,777,912,217,605,503,384,737,
855,707,433,607,451,256,563,198,372,312,040,929,727,266,288,637,824,215,735,
578,122,429,188,498,096,239,676,724,327,288,344,040,087,683,469,523,205,486,
593,199,191,089,163,651,668,704,713,044,278,143,233,571,778,541,290,402,886,
086,190,565,668,036,855,383,455,951,587,506,440,443,967,751,365,613,225,658,
906,819,878,922,638,011,094,540,652,025,920,908,097,248,915,212,978,514,904,
683,014,582,666,498,249,147,931,310,215,208,658,573,886,552,468,350,175,353,
120,959,509,442,106,586,377,352,979,563,380,846,517,961,447,638,219,898,583,
717,329,645,020,849,391,801,977,939,311,047,196,584,061,852,879,003,911,277,
716,917,052,100,417,945,126,322,637,856,589,410,249,350,991,965,980,624,335,
660,183,310,277,695,850,639,952,677,669,456,920,366,403,104,665,210,000,835,
908,770,852,314,232,812,769,410,614,484,814,542,569,747,148,193,080,311,538,
705,039,784,138,842,895,003,502,923,920,835,936,695,857,523,291,732,923,682,
868,386,855,913,337,735,309,913,655,120,863,197,501,768,940,254,088,933,264,
343,743,128,138,873,994,631,170,799,683,055,246,325,563,639,311,914,554,387,
065,508,479,507,773,810,139,449,456,945,719,608,369,417,973,062,560,962,562,
116,924,092,749,126,557,318,504,003,941,015,778,962,329,203,544,389,076,498,
942,225,824,118,156,628,221,896,175,481,322,842,385,108,354,335,451,021,931,
145,479,282,341,637,330,688,531,177,619,063,227,815,224,213,574,448,275,292,
911,326,146,468,093,636,049,997,861,934,807,272,631,970,685,170,762,896,659,
984,891,701,160,360,806,262,838,913,127,308,595,424,276,130,814,251,294,450,
879,060,125,300,073,231,573,614,735,591,841,859,180,681,523,027,110,656,229,
059,707,180,351,937,451,296,716,778,475,492,277,022,076,229,737,832,411,207,
271,232,489,873,321,726,336,682,465,002,294,972,872,943,613,991,894,050,850,
875,701,645,423,594,485,014,823,771,286,569,579,622,137,711,122,421,056,157,
672,093,625,859,198,273,009,724,838,430,877,412,644,191,597,863,958,239,500,
118,133,894,325,682,391,273,251,445,138,678,977,766,548,191,244,155,746,411,
748,499,249,803,466,656,559,767,894,267,810,102,350,413,005,130,917,538,335,
083,715,538,798,187,971,842,145,157,191,973,756,481,529,941,206,954,629,666,
308,295,292,304,698,534,937,387,259,811,907,478,364,393,853,953,540,120,896,
305,174,108,857,458,443,133,182,140,150,957,264,583,374,985,831,527,523,702,
526,163,837,613,233,154,249,105,300,703,958,591,333,411,965,446,280,733,229,
700,342,403,614,460,127,260,775,080,984,785,824,659,173,225,244,924,529,169,
149,493,741,441,763,192,261,727,428,308,473,026,911,460,969,894,955,380,146,
672,731,035,595,123,408,079,792,699,541,594,148,118,244,077,359,680,109,222,
426,792,837,008,000,336,048,769,264,584,015,956,671,923,630,692,312,420,111,
750,360,762,732,366,266,637,859,512,720,570,173,617,359,873,409,214,798,030,
841,113,436,829,835,400,051,127,004,772,229,505,901,592,853,044,753,046,304,
814,870,299,764,061,324,775,044,917,710,225,752,875,074,662,581,720,207,161,
058,626,108,434,987,740,070,448,992,488,496,248,189,749,111,495,282,486,681,
003,185,850,603,927,210,381,940,959,188,901,112,749,031,040,616,935,250,468,
997,431,481,909,147,511,918,459,984,111,790,210,981,971,132,941,086,987,480,
433,633,438,583,355,278,444,111,575,180,569,925,901,224,878,802,865,788,959,
512,530,515,845,967,891,301,262,474,064,127,789,841,748,707,784,514,003,557,
581,814,925,111,949,723,999,492,568,491,256,801,986,049,664,051,212,458,405,
039,894,970,566,624,852,031,589,045,441,006,597,807,503,486,982,056,655,559,
749,456,103,422,533,160,067,291,398,176,331,111,332,040,770,245,456,465,895,
757,883,487,801,001,698,938,595,653,516,658,098,152,941,558,138,199,713,035,
282,364,363,606,673,524,159,028,711,352,962,123,754,491,296,140,568,593,462,
412,383,001,246,060,585,711,676,894,201,579,191,464,466,347,143,699,608,641,
831,689,542,563,777,774,316,279,410,177,619,376,802,548,283,612,206,513,915,
077,141,435,706,376,414,794,219,498,314,520,719,757,770,316,134,371,236,663,
911,629,566,160,314,400,554,738,527,489,953,290,132,235,054,437,173,800,630,
039,814,631,199,565,524,404,552,385,622,114,497,099,961,025,785,653,295,012,
202,364,449,597,883,212,619,478,360,593,418,869,457,998,875,906,465,171,647,
080,168,010,281,743,087,722,265,203,294,514,834,583,755,772,778,837,467,979,
626,176,261,175,892,028,633,868,078,986,886,907,196,419,424,126,277,741,624,
968,019,814,376,138,690,619,574,686,422,549,779,419,275,735,437,998,657,186,
479,984,506,984,029,555,161,479,405,900,961,357,110,204,630,624,238,531,452,
580,303,503,278,242,838,940,105,154,282,898,920,102,541,655,879,168,035,799,
980,804,878,340,788,422,702,578,949,978,887,190,335,837,199,229,229,913,634,
530,080,759,637,271,536,661,010,868,664,061,031,078,615,618,287,170,431,765,
881,754,961,043,509,090,974,626,552,612,244,533,462,495,403,766,541,361,133,
794,974,894,458,868,913,532,283,819,830,984,745,164,198,006,415,828,981,576,
223,203,060,257,235,425,030,822,251,401,515,359,045,546,200,972,265,448,567,
236,163,395,501,243,105,984,638,555,283,612,558,680,985,635,033,035,554,491,
870,924,447,717,907,620,953,994,498,946,596,570,034,711,729,036,144,809,260,
709,336,524,395,705,575,657,325,003,314,306,317,526,023,501,618,931,123,794,
001,373,777,585,801,293,634,622,630,900,620,866,593,141,632,918,909,402,537,
374,138,438,374,933,275,583,239,814,783,430,887,894,592,978,799,926,095,266,
859,877,413,224,357,105,083,372,447,141,552,913,961,605,072,816,501,015,974,
186,266,314,490,724,958,324,904,785,930,673,067,749,701,656,620,006,176,411,
097,926,788,000,359,617,192,978,282,015,284,887,642,658,202,442,714,416,402,
786,901,525,055,521,170,701,084,684,246,519,942,532,287,608,504,469,738,295,
165,941,439,327,471,310,749,647,777,339,639,454,455,492,848,741,622,604,688,
438,933,134,384,529,018,249,360,195,575,904,094,206,314,419,652,555,356,926,
923,158,260,578,112,831,126,721,626,889,186,376,454,862,834,503,077,609,606,
409,101,606,858,116,356,517,480,014,464,567,332,343,310,356,705,874,519,034,
147,552,585,298,702,831,252,468,587,215,815,361,689,034,935,759,952,432,844,
919,354,836,920,522,963,558,989,150,691,326,882,627,444,710,683,373,804,963,
083,963,777,662,148,503,778,274,681,818,579,448,549,065,534,263,757,721,701,
969,733,377,888,949,065,880,328,972,918,788,433,218,801,213,649,270,785,170,
866,780,538,563,407,528,378,322,048,302,911,452,734,488,913,510,991,234,573,
710,550,753,007,667,067,230,975,226,781,896,156,076,212,945,475,894,346,866,
182,836,149,020,520,344,731,894,268,936,347,784,096,508,656,254,730,810,963,
640,373,261,286,670,034,297,513,721,645,494,225,377,018,487,265,454,688,837,
661,195,857,636,789,574,142,771,286,752,910,259,280,285,862,850,788,549,173,
479,079,593,263,808,664,834,413,402,589,119,945,989,284,209,411,045,081,204,
240,605,589,210,478,189,742,858,908,111,501,373,493,756,777,736,828,778,687,
365,519,821,693,129,009,936,114,267,720,627,968,646,309,685,815,862,748,495,
437,411,988,397,507,976,408,850,454,954,374,400,716,693,025,368,715,649,644,
035,366,306,611,990,807,042,784,881,255,818,044,370,073,908,544,559,511,750,
879,951,191,364,606,722,251,225,411,709,623,525,949,540,825,550,017,589,493,
503,166,148,251,082,629,783,301,099,676,992,156,407,281,270,882,292,845,500,
985,739,582,891,868,585,812,612,672,832,705,673,841,562,488,000,828,183,249,
893,688,659,703,167,817,574,458,448,620,953,250,152,962,674,356,091,723,975,
307,693,333,115,256,405,084,028,881,370,637,131,457,175,657,816,529,098,114,
327,348,631,332,774,628,016,161,123,557,110,932,880,535,190,868,827,733,111,
296,694,740,956,966,572,827,211,411,175,842,711,743,034,513,952,863,120,288,
604,460,817,802,920,614,284,294,396,146,251,356,029,517,233,885,549,003,457,
459,054,710,638,167,954,006,682,339,749,147,316,629,198,191,163,318,993,956,
820,156,647,590,658,397,153,191,013,095,357,842,684,661,526,198,544,342,426,
991,519,932,268,730,464,773,394,610,798,965,105,149,140,782,884,903,182,196,
547,329,159,511,889,378,368,856,136,489,305,693,249,400,483,903,800,171,237,
922,243,655,730,692,645,951,421,622,829,002,305,540,823,491,776,910,546,865,
532,795,859,315,673,867,012,151,439,268,081,252,242,859,304,404,791,387,879,
442,544,824,367,173,574,381,209,381,647,350,194,112,935,191,960,537,390,495,
484,852,831,558,073,936,261,836,898,871,199,485,945,340,044,206,701,874,790,
034,680,413,535,375,922,877,010,089,293,324,699,371,990,711,851,891,330,750,
276,771,236,090,881,699,551,063,983,591,734,559,047,499,899,530,308,051,087,
200,906,819,508,944,141,427,943,869,412,482,880,233,379,504,579,712,946,338,
271,337,968,478,087,323,502,228,185,692,816,288,006,768,336,570,915,772,573,
819,640,946,884,810,461,825,706,864,160,173,823,835,558,309,460,104,263,448,
440,093,516,123,449,597,307,061,872,657,099,628,875,474,364,326,870,587,210,
571,291,271,026,238,770,541,940,903,395,093,947,165,841,290,960,858,355,768,
271,268,347,412,047,936,772,862,326,807,023,310,175,487,120,699,738,828,673,
649,464,199,170,193,809,886,134,650,187,889,366,551,210,140,128,873,637,908,
547,254,152,014,390,154,513,233,853,095,222,304,632,527,650,834,572,054,658,
764,592,181,453,582,757,409,979,300,837,397,772,570,347,833,292,208,922,819,
774,387,169,403,098,618,780,150,823,092,690,392,908,779,179,898,283,068,031,
302,079,012,169,341,635,993,806,800,707,535,993,806,398,443,991,813,031,228,
972,977,898,300,122,584,014,062,819,405,733,929,757,615,308,069,205,371,825,
389,515,790,919,646,101,949,891,592,032,354,478,420,463,610,066,740,986,623,
518,775,778,837,258,244,034,627,173,675,622,648,063,939,192,711,495,604,158,
647,905,827,478,341,170,285,781,049,321,617,316,671,677,315,289,454,273,572,
265,304,864,035,057,628,885,699,461,899,230,053,250,588,590,282,278,789,829,
623,389,168,738,232,154,679,730,856,642,825,515,882,792,373,988,699,542,956,
602,954,372,494,009,372,568,696,801,375,154,011,725,377,666,023,258,300,353,
091,851,609,129,386,160,991,165,575,231,091,683,362,069,652,836,835,132,853,
255,396,468,786,989,346,705,198,367,376,808,880,073,923,918,505,710,503,118,
541,438,658,997,081,262,863,150,714,297,248,022,368,174,820,211,598,152,381,
681,339,754,054,597,082,069,555,197,827,621,676,058,853,216,314,746,504,741,
539,274,143,236,075,672,701,273,055,027,926,937,838,676,897,329,554,234,279,
621,543,309,277,933,276,005,730,825,415,769,320,933,876,806,525,011,211,067,
540,428,695,065,951,858,456,737,558,477,307,047,489,620,817,354,746,617,869,
058,576,083,651,860,143,366,355,130,985,729,070,323,933,075,791,403,667,369,
617,596,468,496,043,400,890,795,928,598,827,635,174,742,158,090,276,289,586,
594,127,123,492,685,484,305,094,661,172,773,785,495,218,035,358,739,881,841,
534,400,931,676,592,651,265,332,753,809,455,580,524,465,927,244,184,525,008,
255,909,289,475,766,329,430,256,931,176,012,615,464,352,150,453,357,572,279,
326,773,890,950,561,703,317,050,816,547,299,275,664,818,303,966,200,881,833,
980,708,348,923,180,911,830,456,308,533,161,449,446,004,769,839,210,570,469,
609,553,995,355,781,524,157,683,920,076,870,079,700,393,497,814,670,491,779,
459,600,978,361,848,662,093,490,327,821,249,563,665,606,691,042,902,028,618,
450,800,553,535,056,055,542,261,547,278,982,565,498,370,025,423,204,826,908,
000,723,419,304,375,025,486,335,232,175,156,042,955,934,937,956,711,081,781,
006,356,149,149,703,748,811,467,646,071,365,337,841,153,539,128,324,182,436,
974,592,188,433,542,924,552,817,008,955,328,250,674,326,270,491,033,601,720,
261,829,457,287,938,200,365,429,646,553,884,804,972,653,364,750,380,644,899,
379,040,245,777,384,855,314,543,542,626,572,812,882,278,074,969,989,310,815,
538,062,364,419,813,426,840,492,970,207,464,508,327,143,705,282,436,205,931,
217,660,216,487,754,507,181,252,918,257,482,721,256,641,749,889,704,155,070,
120,427,809,890,265,509,236,583,294,140,111,501,180,839,161,926,096,938,290,
971,325,927,475,484,080,133,765,559,688,807,794,429,451,821,323,516,433,733,
916,225,658,488,972,300,417,171,995,298,602,007,185,418,239,123,097,162,568,
952,125,559,361,543,044,800,004,373,514,516,069,236,795,463,280,543,561,880,
781,587,412,435,157,455,270,356,960,836,336,098,918,220,190,551,352,245,409,
109,712,813,263,992,205,801,623,087,250,964,044,667,739,300,208,562,872,599,
538,480,130,528,744,213,105,980,739,750,636,291,967,642,751,251,282,254,928,
582,261,382,330,637,139,022,641,567,462,019,897,732,509,770,624,074,042,360,
586,878,446,252,053,954,414,514,436,705,442,534,064,090,904,208,356,978,725,
842,932,227,184,978,558,343,802,845,185,831,350,245,211,935,857,066,908,526,
865,093,723,954,423,991,245,825,690,702,774,230,638,851,429,223,601,160,079,
596,728,360,677,428,777,416,672,297,434,088,608,175,435,168,257,999,974,143,
809,906,301,519,678,274,951,117,245,738,034,602,099,277,887,420,409,735,546,
142,133,068,962,067,129,804,002,699,880,405,753,828,875,971,442,382,967,888,
650,080,442,181,536,067,468,033,625,967,506,238,519,771,665,137,396,751,462,
781,094,086,119,038,857,070,035,341,331,579,813,803,278,629,291,379,613,334,
129,885,149,735,592,671,906,202,988,222,608,274,186,990,138,930,315,229,637,
002,504,066,491,503,796,927,469,312,305,931,522,425,533,320,610,841,763,226,
880,241,427,776,463,532,134,623,255,185,953,780,218,135,918,417,360,784,608,
556,771,128,725,084,878,218,156,207,474,787,899,308,194,890,329,450,895,696,
668,152,525,193,901,194,163,993,455,449,430,203,770,067,654,279,329,006,070,
065,165,579,928,935,528,317,860,652,721,219,249,542,120,852,092,854,756,482,
897,574,007,086,610,414,697,935,899,809,070,864,857,786,892,105,045,188,580,
677,223,418,034,245,831,071,254,476,306,697,278,788,760,044,609,846,109,223,
836,859,199,667,672,097,018,820,191,117,114,529,502,021,818,415,114,882,542,
421,490,333,177,735,013,037,292,643,432,726,614,661,302,305,265,283,267,242,
738,469,982,120,432,277,356,320,725,830,366,729,568,725,947,921,968,819,713,
580,218,582,271,597,946,962,228,247,621,359,026,905,559,134,945,545,759,432,
297,241,409,351,233,577,535,245,533,769,079,656,580,146,091,356,188,567,958,
833,004,074,931,090,559,208,166,954,153,354,871,048,102,334,682,773,670,945,
152,833,625,539,259,308,920,642,093,716,052,721,097,893,362,938,714,355,503,
770,701,675,580,172,663,445,526,843,736,578,333,227,175,805,987,674,939,298,
357,906,592,648,367,164,310,666,752,980,829,858,129,294,870,154,211,586,251,
216,546,156,358,389,885,054,264,606,672,029,146,761,263,081,983,978,924,165,
622,096,546,847,948,877,604,404,422,916,450,712,951,473,392,062,543,605,121,
850,575,309,178,216,014,828,077,664,802,435,857,177,598,644,023,341,318,347,
450,308,202,120,492,477,012,902,877,685,079,333,705,953,637,364,076,953,615,
816,361,887,402,758,280,738,587,198,942,981,433,421,082,354,383,690,088,402,
859,281,129,394,987,689,792,617,329,927,999,409,847,432,724,397,682,937,481,
623,074,595,500,596,777,577,061,238,226,644,596,632,067,319,922,013,053,051,
401,583,365,453,332,961,864,982,603,151,578,179,474,182,423,186,557,707,083,
318,049,122,438,691,626,123,389,367,890,857,472,582,305,262,429,332,857,022,
876,379,386,324,620,791,275,701,292,715,177,544,192,745,315,956,944,633,229,
664,694,651,802,511,759,922,049,959,894,276,037,450,368,409,912,322,570,855,
286,930,619,175,772,830,538,387,422,468,358,108,387,133,275,966,195,609,358,
914,201,061,666,404,373,674,026,914,956,281,291,405,018,628,734,151,776,458,
201,842,484,633,601,748,427,763,478,943,064,317,476,014,231,872,670,032,153,
342,175,427,794,395,542,916,266,197,508,255,965,666,382,542,218,567,025,387,
521,293,916,762,318,013,808,073,346,401,451,734,440,205,775,695,226,387,882,
871,907,430,739,903,323,520,152,302,773,190,950,720,180,544,889,395,186,635,
838,210,315,547,424,304,259,049,271,627,277,403,158,027,672,722,162,528,208,
194,931,005,890,232,848,639,653,356,603,405,654,561,763,153,116,525,682,762,
078,598,785,530,754,110,579,895,866,385,847,200,545,352,814,650,888,762,359,
927,328,805,290,363,299,946,738,818,425,299,013,656,809,036,352,596,862,055,
007,057,339,282,485,659,618,620,043,679,476,619,599,209,647,480,785,760,531,
623,053,732,443,360,797,324,167,196,313,907,763,126,485,146,754,785,369,363,
528,665,355,717,004,759,024,516,411,406,838,171,484,987,198,028,653,794,948,
852,585,972,691,509,461,006,673,154,299,201,334,997,574,611,992,759,355,814,
012,354,484,851,002,799,551,539,544,152,343,716,827,258,054,790,497,181,622,
843,304,333,846,901,967,436,175,256,774,678,870,387,570,883,895,933,747,670,
978,788,817,360,407,103,622,502,449,864,754,541,489,713,986,942,259,156,583,
155,378,447,740,793,362,899,931,933,429,872,572,641,145,930,968,386,751,302,
880,659,015,480,241,427,913,332,017,410,902,511,765,696,148,441,575,735,482,
931,481,621,659,321,368,125,900,733,786,374,668,749,182,725,106,459,688,944,
612,193,108,058,517,676,476,029,694,503,195,415,008,703,629,480,163,060,767,
058,744,779,003,186,618,040,267,264,607,695,017,676,009,315,779,492,181,790,
236,771,919,720,145,672,722,677,420,038,604,683,296,279,395,384,208,762,319,
460,125,468,044,153,117,307,725,722,104,900,287,012,081,355,238,914,291,795,
660,588,989,733,083,005,084,440,903,396,359,343,677,466,980,011,735,477,920,
820,269,525,221,584,334,095,492,541,281,747,625,025,068,046,294,421,175,412,
053,674,038,814,577,698,280,348,247,529,306,227,474,732,338,042,278,633,106,
585,913,751,712,336,475,666,400,778,779,321,288,815,274,782,789,461,468,040,
295,398,837,928,142,023,704,251,396,461,750,829,660,420,896,412,422,077,718,
939,489,409,238,199,087,758,942,048,939,511,328,018,289,149,348,734,626,767,
956,618,150,673,199,343,647,170,597,117,032,679,504,839,600,808,093,279,895,
731,323,125,284,906,981,508,876,966,204,669,218,164,777,871,404,531,230,522,
356,555,498,890,647,423,563,929,962,049,358,001,172,097,402,524,091,657,699,
850,024,807,690,576,168,484,133,035,594,810,566,249,361,000,803,525,325,294,
811,453,250,879,904,571,668,618,354,225,955,460,607,492,957,658,210,554,214,
837,094,341,243,932,337,095,845,027,570,609,509,411,544,585,862,061,969,591,
574,271,337,973,235,722,675,148,923,267,174,757,122,019,473,145,039,856,594,
230,552,580,828,814,650,106,127,933,859,634,888,987,711,762,394,697,801,553,
678,286,737,419,411,208,003,680,812,285,975,576,761,241,977,492,609,098,028,
880,465,815,246,127,431,302,491,940,652,833,337,792,365,189,816,305,835,555,
002,833,638,320,900,526,039,843,565,705,699,144,508,726,067,288,779,593,475,
116,611,912,644,997,921,278,726,268,034,531,014,560,976,898,481,783,537,973,
879,084,511,794,643,340,227,350,097,545,627,812,710,788,781,605,989,574,887,
269,334,241,528,523,569,628,151,964,267,453,550,744,333,931,465,955,238,365,
069,212,647,811,326,163,556,984,295,552,757,045,251,677,682,480,954,877,781,
752,581,260,769,093,336,533,452,143,979,579,835,951,840,215,918,115,587,184,
941,226,336,255,381,744,198,436,704,511,348,795,630,549,186,551,694,698,698,
658,603,274,390,300,402,997,673,617,799,993,843,876,856,666,764,290,059,710,
083,969,493,321,379,842,231,511,494,796,492,546,778,177,006,143,074,709,554,
333,411,841,977,844,927,260,582,986,043,733,200,999,160,176,302,713,975,124,
537,559,353,415,019,644,192,320,882,945,464,995,492,513,865,862,872,713,026,
463,944,240,050,208,114,756,441,044,674,701,055,646,534,152,155,001,641,853,
769,069,501,089,217,173,194,583,020,026,617,170,480,096,839,755,564,868,935,
220,469,208,972,517,329,976,378,801,632,118,046,766,834,382,792,918,055,264,
419,027,576,211,546,972,814,222,069,378,854,433,405,026,811,331,635,955,728,
932,437,445,791,023,166,486,825,064,656,379,276,361,075,437,474,284,613,091,
132,802,460,354,256,187,684,974,322,528,215,107,285,704,464,319,534,120,889,
676,495,996,377,618,489,687,151,531,068,544,508,564,414,180,704,505,770,579,
428,299,056,476,938,529,126,920,322,364,472,088,400,905,150,748,591,199,861,
756,649,822,351,662,211,525,407,037,090,362,045,359,846,837,010,551,511,942,
660,014,017,492,378,374,244,243,181,982,434,577,473,052,623,178,861,047,266,
903,717,737,340,508,030,832,453,066,858,305,200,068,960,863,275,062,758,610,
013,569,840,624,111,946,049,102,876,153,414,896,604,657,913,171,300,636,666,
496,320,258,429,003,332,551,014,840,932,232,474,108,712,591,119,787,329,255,
794,192,252,491,723,086,607,900,796,675,398,661,021,519,159,472,511,728,662,
464,446,451,106,701,322,852,859,050,846,077,776,038,700,919,770,924,776,453,
234,412,708,187,299,462,973,239,853,965,446,022,144,476,606,849,736,236,534,
414,970,448,891,080,429,032,160,606,018,045,462,540,409,475,135,862,040,557,
385,086,991,018,208,329,857,788,729,233,703,718,607,801,085,481,841,272,148,
080,518,614,996,811,852,427,713,175,699,583,866,808,192,583,584,470,750,350,
348,703,488,820,807,747,273,387,507,412,651,626,501,922,292,826,894,103,071,
002,162,406,678,277,084,347,536,238,681,356,855,077,818,985,380,638,411,215,
713,153,957,069,376,181,925,130,091,846,089,484,572,813,876,165,245,918,566,
007,537,278,289,029,540,404,276,779,911,280,616,788,095,897,950,371,705,319,
560,965,506,042,566,376,093,025,917,831,722,256,890,280,033,612,086,625,052,
046,988,935,192,507,103,818,004,631,333,142,902,960,152,207,492,109,168,628,
176,722,117,596,653,644,829,571,123,336,548,001,048,600,041,706,296,336,349,
026,514,431,346,687,237,833,373,743,312,282,584,414,798,741,172,843,632,225,
677,337,094,192,943,174,098,084,202,514,559,205,996,275,750,780,053,379,184,
982,793,419,195,384,983,338,779,435,403,966,061,360,550,331,931,142,415,190,
779,885,041,474,189,152,765,876,657,371,986,360,787,698,840,368,276,106,187,
354,953,404,814,213,663,684,278,170,854,494,701,527,371,501,811,452,685,613,
279,558,544,413,215,693,175,575,091,181,431,497,435,760,697,368,022,949,006,
153,753,150,084,038,363,229,111,720,584,923,410,299,233,783,092,691,488,245,
318,035,378,210,047,387,507,676,728,934,398,141,929,503,273,911,475,888,381,
323,910,456,899,107,601,528,622,889,423,033,219,509,905,753,980,712,964,816,
795,916,703,151,380,353,037,385,628,061,520,489,584,499,360,460,652,818,281,
064,399,492,025,784,791,452,668,814,490,883,336,773,824,009,606,830,421,098,
110,866,938,265,291,972,006,864,771,577,117,081,155,022,376,061,120,783,622,
190,274,014,781,882,614,498,669,305,134,103,262,654,872,398,792,442,381,867,
591,125,308,211,663,662,235,747,404,142,191,850,884,679,434,076,061,909,147,
980,349,890,748,754,635,097,966,209,661,204,178,945,237,101,066,006,826,786,
501,800,851,688,771,779,073,831,702,824,499,426,668,017,229,648,923,068,825,
709,223,409,459,750,974,106,390,028,010,850,522,309,994,802,318,489,039,213,
458,380,517,981,382,145,617,737,844,074,081,641,986,737,823,731,905,992,124,
318,325,759,235,757,896,066,359,643,968,274,916,603,506,074,894,438,392,317,
906,139,246,778,300,595,307,764,277,348,114,959,331,924,043,504,594,776,096,
536,033,289,527,981,135,564,444,102,738,792,683,496,498,579,070,536,952,416,
253,446,436,154,171,615,209,593,719,631,961,984,225,056,291,850,433,390,775,
051,266,027,922,230,965,097,787,167,049,804,121,980,015,089,800,140,173,152,
251,487,501,451,625,067,283,707,339,087,211,002,467,643,890,296,525,084,730,
507,361,749,976,562,633,287,291,795,353,799,382,884,496,163,297,552,380,985,
340,437,223,708,727,394,480,594,612,649,367,630,870,412,834,319,494,515,528,
385,176,218,626,916,228,638,652,507,373,890,136,178,558,664,366,606,093,345,
197,133,265,736,296,779,967,075,914,704,880,944,820,065,667,507,022,152,121,
338,252,555,287,493,747,928,250,023,860,995,872,360,043,723,664,800,342,587,
984,213,902,388,956,384,647,660,862,556,663,555,161,236,924,236,698,514,350,
264,717,535,715,640,226,596,341,217,573,380,987,752,403,913,855,629,231,387,
574,091,702,119,534,472,412,314,640,082,945,766,799,587,510,299,596,529,403,
939,112,346,514,859,635,804,376,427,093,684,875,125,293,779,463,315,957,610,
817,100,695,935,430,377,735,797,060,841,440,927,749,634,568,035,798,903,179,
330,406,003,096,628,368,656,420,237,563,336,653,340,012,276,687,737,914,512,
046,188,675,878,035,255,395,388,662,064,890,023,040,712,027,413,077,095,835,
667,100,331,955,965,078,713,871,127,664,118,825,681,188,332,878,435,106,036,
924,736,596,047,809,435,609,637,282,353,761,823,282,657,254,091,594,734,492,
942,312,957,993,841,222,354,798,500,532,659,403,495,843,334,517,720,787,068,
419,265,861,277,948,314,538,206,715,526,446,549,829,422,579,905,977,394,671,
713,170,623,287,816,811,995,511,236,910,881,592,817,663,361,666,753,909,710,
673,405,822,797,836,735,342,246,388,434,541,941,859,553,009,040,658,047,245,
550,141,845,556,730,771,895,508,205,653,810,061,201,940,436,961,755,505,103,
812,825,386,064,587,294,455,499,247,237,476,064,500,796,174,927,214,484,082,
555,438,103,432,689,117,523,122,720,239,789,526,617,599,618,195,473,180,372,
108,228,014,211,857,992,519,452,781,602,568,110,468,357,523,384,554,929,918,
073,485,263,928,913,001,683,947,829,995,303,192,272,698,628,546,072,026,102,
704,229,309,151,489,679,861,199,843,742,165,850,875,424,026,102,009,560,327,
444,712,272,975,639,470,755,035,115,819,568,661,826,857,611,474,758,288,901,
896,700,095,274,783,586,598,402,723,356,842,417,806,173,323,734,016,801,642,
025,991,023,324,032,118,733,524,226,963,560,760,494,753,008,981,931,587,828,
601,995,893,744,362,677,618,914,839,508,070,343,443,240,300,216,913,461,151,
952,522,090,339,309,151,967,237,542,714,725,581,742,373,283,530,918,849,353,
789,689,554,989,329,251,088,509,816,832,805,291,841,127,385,183,301,710,744,
304,564,325,779,259,457,983,040,362,054,820,169,643,953,100,698,504,600,894,
473,740,726,971,637,965,391,445,935,375,272,977,672,530,732,671,320,497,820,
647,797,532,351,962,095,118,365,299,579,323,524,883,244,181,832,353,742,610,
346,468,490,482,657,472,951,743,507,222,090,081,199,739,769,671,144,005,739,
293,422,769,190,530,590,079,476,276,096,330,211,848,507,056,684,025,426,227,
638,706,937,781,870,231,590,033,444,250,464,353,556,813,585,946,285,779,093,
129,705,776,441,840,623,958,758,949,706,024,342,078,356,467,804,413,119,382,
305,304,653,208,176,244,247,999,710,811,728,090,765,462,100,326,815,867,212,
082,328,364,807,438,358,699,398,770,321,072,526,595,566,933,743,609,155,209,
149,853,065,790,798,704,483,430,645,538,179,142,877,916,351,126,697,921,146,
837,990,443,250,563,852,395,865,600,403,786,495,911,014,500,904,914,717,713,
600,349,970,823,024,932,380,373,490,361,329,326,202,630,243,871,043,803,248,
884,148,996,967,011,400,902,743,972,222,387,822,218,154,595,380,311,558,898,
063,033,554,727,659,746,059,673,852,342,680,194,550,208,581,883,165,623,290,
940,264,247,824,471,351,503,224,298,738,114,981,984,118,119,342,458,219,515,
938,007,920,883,692,531,698,907,946,168,092,364,433,584,917,834,012,552,119,
558,550,311,038,590,006,815,789,298,807,028,589,141,454,073,090,044,182,064,
481,812,383,097,668,387,054,708,582,549,563,055,684,180,921,187,499,619,716,
994,819,989,686,840,146,261,780,034,412,372,160,267,804,456,009,016,747,072,
336,159,019,259,198,545,110,695,563,985,117,968,170,560,622,589,310,392,945,
306,885,740,942,239,663,485,742,314,820,962,308,236,951,583,898,639,075,205,
524,850,424,484,111,270,547,903,434,137,116,526,348,556,869,776,320,305,144,
804,046,408,364,337,438,496,496,704,842,231,939,142,588,021,198,151,316,618,
989,000,324,588,161,572,589,977,930,169,780,319,597,718,064,982,199,399,878,
343,778,718,861,883,888,237,611,019,802,260,940,179,396,865,647,058,463,122,
943,998,825,413,806,641,071,051,729,250,390,593,110,594,126,207,672,670,340,
037,758,532,903,576,476,932,822,358,884,264,852,863,294,805,700,876,950,804,
761,959,155,601,183,537,474,318,257,691,578,433,582,497,488,902,118,313,826,
146,223,165,006,285,810,010,370,025,860,440,765,755,029,434,706,892,414,764,
051,405,526,798,923,168,972,993,088,242,199,901,357,483,706,131,492,035,603,
344,823,325,388,910,552,328,236,472,212,671,919,195,319,927,132,944,112,227,
267,502,134,976,758,835,483,865,235,704,087,904,448,000,308,251,035,472,141,
141,774,675,998,826,252,484,836,321,385,391,864,983,809,787,038,291,823,618,
557,362,827,516,937,980,164,137,530,774,800,862,391,546,999,796,896,820,230,
498,088,908,500,263,430,485,471,167,784,030,856,822,204,767,334,925,026,049,
294,212,040,937,486,266,091,539,451,529,508,038,951,435,680,075,603,895,655,
978,100,537,641,967,918,834,105,066,995,351,537,038,806,966,065,411,591,245,
555,573,074,310,467,314,526,258,116,990,134,661,876,129,125,452,260,339,780,
862,910,435,754,278,981,762,256,130,803,754,028,855,310,676,919,889,849,413,
898,767,278,107,681,278,715,471,862,674,987,090,371,558,603,784,587,501,959,
803,375,948,552,474,600,761,210,228,266,674,008,679,157,986,687,800,381,023,
711,217,821,806,543,472,926,718,442,458,898,348,864,041,665,136,676,626,808,
060,216,112,695,196,770,657,908,033,902,988,536,296,785,664,352,899,415,959,
887,381,724,427,737,445,660,756,223,918,827,102,741,548,730,660,511,707,581,
081,054,304,302,750,454,444,520,883,686,437,101,303,382,005,403,705,752,887,
236,038,188,786,878,337,836,602,543,171,699,800,672,295,276,841,646,387,168,
925,153,736,446,779,285,084,717,142,092,558,196,689,131,073,849,574,211,763,
688,694,214,586,079,623,542,308,632,399,662,950,325,181,165,015,920,057,214,
801,405,669,957,300,027,022,390,109,241,660,890,813,556,679,354,777,585,765,
271,527,286,974,667,443,136,355,053,157,710,487,992,710,251,168,933,650,485,
836,935,492,151,755,691,064,796,651,433,933,920,058,940,496,847,369,900,411,
875,035,637,124,673,961,154,834,382,733,068,213,411,163,620,863,884,767,820,
687,298,196,848,935,880,487,106,794,020,621,978,724,796,233,789,581,485,696,
516,667,825,404,708,045,897,475,088,702,940,756,053,296,792,656,646,968,778,
190,150,821,332,815,014,161,244,329,978,961,141,576,283,441,638,989,874,900,
581,360,264,619,229,002,075,256,822,125,184,156,027,021,037,514,543,515,138,
579,965,941,395,417,069,910,568,548,776,188,489,351,152,478,284,656,173,129,
005,093,327,438,828,924,913,063,368,229,790,358,326,009,249,344,445,052,733,
332,509,087,826,292,087,154,363,872,815,678,317,743,715,520,406,020,279,044,
381,085,506,488,806,855,058,832,780,835,604,783,151,632,860,622,825,448,168,
833,094,587,198,920,564,466,698,470,150,672,355,084,569,613,309,959,137,936,
748,657,710,954,977,180,517,445,969,954,053,819,649,031,238,057,652,329,040,
877,729,382,733,576,853,034,939,470,284,720,180,513,421,921,518,988,955,426,
422,934,672,869,623,100,850,857,493,137,485,330,294,858,140,905,066,291,510,
695,926,358,101,705,853,812,738,424,098,913,660,043,748,007,497,499,941,102,
692,143,650,795,428,435,089,547,301,632,659,736,523,561,840,679,938,066,163,
234,241,459,934,380,735,601,230,786,889,807,315,403,949,751,545,713,336,038,
578,377,014,141,247,287,366,288,614,271,727,546,087,159,038,764,730,720,595,
285,910,066,558,257,321,867,296,030,589,924,312,280,110,121,654,631,498,702,
420,646,776,502,609,975,972,510,344,131,311,394,049,964,708,164,307,216,919,
195,825,587,911,402,696,288,150,380,152,103,805,872,667,363,565,399,135,952,
857,549,848,953,231,965,518,871,486,155,844,840,136,204,601,129,727,759,997,
139,922,400,737,550,580,754,552,223,385,847,889,180,154,862,944,922,918,868,
734,114,534,078,456,729,931,359,330,908,364,465,577,661,898,910,461,913,958,
931,550,206,945,189,977,119,515,450,661,045,865,726,548,904,849,120,876,022,
265,497,929,852,856,278,571,264,400,163,495,368,070,289,520,901,247,838,964,
756,925,897,867,458,379,593,593,228,504,131,353,875,876,633,389,564,992,971,
749,865,259,707,485,324,472,787,799,671,307,444,085,846,053,619,613,202,817,
543,933,823,789,690,924,876,197,473,998,131,649,023,235,989,572,826,647,890,
655,792,849,615,494,318,721,488,378,421,430,019,712,893,183,640,028,962,931,
230,961,010,679,387,337,560,245,043,181,787,819,598,160,407,441,005,756,469,
498,508,228,695,396,842,286,549,753,946,366,219,557,374,997,276,668,522,960,
396,066,511,298,013,594,333,777,295,854,642,705,831,408,701,537,588,624,747,
922,171,750,711,466,845,343,523,304,741,367,719,062,730,092,056,241,054,957,
933,559,478,998,081,191,846,748,908,287,202,354,293,035,156,534,650,535,065,
273,896,134,507,421,481,348,519,422,872,801,848,253,147,276,254,700,957,703,
317,664,076,831,096,225,689,604,512,535,336,693,331,498,756,714,642,471,945,
392,385,965,390,267,632,238,836,591,781,113,171,156,153,013,992,155,343,022,
531,198,346,758,662,314,647,725,059,039,902,786,052,940,979,274,199,746,603,
210,606,756,243,959,638,030,380,571,867,668,056,373,618,160,128,502,629,217,
104,034,831,321,908,345,997,715,626,541,592,718,440,730,965,510,356,676,062,
044,844,234,806,642,810,919,316,514,798,205,967,718,771,126,757,749,535,570,
976,270,795,765,083,650,292,641,299,255,944,779,344,858,133,138,806,116,702,
562,617,962,040,059,414,661,069,776,849,388,740,059,382,437,061,956,914,125,
666,475,728,847,654,690,050,118,306,745,544,611,742,475,650,825,200,935,978,
618,251,447,519,003,552,833,360,664,534,169,269,853,733,512,097,144,863,755,
264,903,987,032,548,880,844,749,543,610,112,974,972,568,008,100,295,157,031,
425,038,109,078,989,016,682,593,998,021,506,201,953,910,709,769,686,330,696,
049,807,615,032,600,549,455,448,529,829,169,472,836,784,424,166,633,596,632,
944,595,619,228,576,146,180,881,860,542,639,883,954,904,621,865,713,108,748,
843,913,085,830,116,412,549,443,158,947,008,676,005,472,237,262,580,106,939,
482,484,110,321,564,107,908,598,133,375,281,593,360,997,799,192,986,997,626,
031,683,091,678,649,526,626,363,418,084,049,204,708,629,174,984,628,191,820,
371,148,805,737,237,957,786,045,750,903,233,669,321,031,308,154,890,192,655,
503,872,557,771,086,318,456,715,985,974,476,014,274,084,699,736,988,476,291,
286,024,315,086,593,226,619,818,609,055,472,472,460,420,883,692,003,628,119,
767,949,870,757,720,928,404,752,645,257,113,070,453,832,816,895,689,148,237,
783,090,352,973,396,851,432,189,375,109,092,998,785,824,617,425,824,911,398,
396,703,623,453,803,099,395,284,553,219,235,062,406,307,154,335,145,697,298,
775,782,009,038,326,753,670,896,140,443,601,772,577,677,703,609,411,823,046,
794,396,912,495,503,476,616,548,892,215,960,215,500,096,016,718,333,392,054,
577,655,792,792,164,822,470,221,387,862,016,908,682,233,655,491,132,582,760,
248,632,294,648,478,208,436,426,542,546,878,866,894,449,188,362,809,454,348,
090,728,142,811,615,564,489,836,902,716,837,828,763,409,910,872,056,795,305,
617,169,571,696,974,136,485,021,894,127,865,607,820,469,566,143,314,692,243,
955,988,226,520,962,084,025,039,556,310,266,355,689,467,782,114,307,672,370,
634,992,960,284,445,268,769,892,566,562,118,363,892,294,825,951,985,502,634,
007,586,865,188,554,736,327,261,977,557,894,279,002,122,207,554,656,774,724,
988,291,157,269,701,185,324,366,100,426,855,991,629,330,446,740,386,338,480,
491,741,725,083,923,461,265,570,862,656,668,720,250,939,533,960,599,825,086,
382,536,054,781,425,813,428,790,509,509,165,861,277,286,469,625,138,223,597,
051,346,497,075,097,413,504,336,766,969,180,953,244,218,189,115,914,635,836,
915,115,635,057,209,656,656,154,307,576,816,578,660,163,513,541,801,661,643,
281,720,178,237,594,470,190,305,514,269,825,928,239,122,612,501,344,701,973,
164,320,123,639,389,906,146,619,602,716,018,856,458,329,375,470,407,933,829,
738,266,690,853,540,842,772,546,231,272,145,748,863,599,721,080,014,332,274,
144,507,618,315,642,684,050,866,142,287,673,437,675,479,111,912,715,034,680,
197,566,401,075,509,158,172,107,610,652,813,771,214,426,659,051,990,581,574,
279,254,683,057,249,462,291,096,850,464,786,408,597,840,521,164,370,075,387,
958,398,863,092,058,736,261,504,539,328,505,016,086,184,418,395,580,268,700,
468,153,148,661,976,730,222,814,269,068,627,626,843,184,345,961,536,676,997,
811,686,386,691,824,076,688,105,970,093,800,604,236,034,910,927,604,720,822,
713,347,242,764,512,133,480,067,113,612,249,318,339,768,910,010,576,107,689,
078,095,863,114,207,491,410,394,910,092,721,441,150,021,995,847,340,599,081,
955,230,515,749,385,818,758,379,593,956,732,352,536,737,479,863,820,591,974,
542,308,336,458,554,533,814,327,845,876,739,033,861,578,871,905,932,180,110,
249,784,763,065,333,592,308,458,129,454,059,047,528,968,235,909,972,703,056,
298,889,161,198,477,448,035,557,759,658,021,977,576,149,839,788,011,966,009,
423,800,523,852,943,489,919,712,297,062,716,446,824,047,019,925,209,381,986,
584,941,395,577,297,818,535,818,547,499,585,026,042,746,014,656,907,548,842,
563,677,635,510,700,112,616,561,574,213,822,374,650,824,957,624,047,300,505,
013,850,435,601,565,815,272,503,699,342,517,579,977,663,009,198,333,339,804,
115,290,069,745,348,048,743,993,205,916,140,475,964,139,078,923,729,103,219,
399,647,416,731,037,863,380,088,199,886,374,368,077,605,245,048,477,645,159,
651,602,616,556,633,289,762,650,234,776,175,696,397,153,228,693,353,114,246,
519,363,967,978,835,528,647,713,919,989,982,090,747,198,403,016,210,555,331,
878,850,451,569,098,564,256,376,791,852,868,218,794,062,874,130,807,835,841,
914,231,229,651,765,257,733,636,794,010,751,529,129,284,637,015,334,989,818,
991,744,570,491,924,836,061,375,081,175,845,223,809,145,454,732,488,283,627,
295,027,228,316,236,644,887,010,189,354,525,290,116,236,161,824,750,096,850,
787,094,550,190,632,835,080,751,760,404,144,016,374,626,834,389,879,849,602,
408,742,653,706,790,886,010,820,775,183,529,507,428,323,353,221,634,816,309,
178,800,972,830,115,495,051,449,744,498,285,260,144,437,063,427,121,971,346,
496,704,012,876,401,425,540,307,188,697,940,688,152,789,614,862,665,745,351,
977,440,155,631,773,700,478,596,891,748,622,156,664,808,670,585,762,886,689,
485,360,794,024,584,301,413,220,989,296,565,415,197,453,250,694,136,141,495,
988,759,618,997,593,335,068,177,395,882,015,128,156,592,327,379,424,203,827,
959,269,654,636,415,580,123,195,845,502,814,896,897,791,708,942,042,813,162,
963,476,850,775,862,305,721,256,514,043,213,009,404,937,924,025,065,812,926,
876,598,905,988,322,238,215,399,289,787,576,878,673,995,639,628,110,175,706,
886,328,850,671,309,466,957,591,326,072,996,593,132,009,978,395,963,386,207,
400,031,836,141,924,398,170,190,209,370,759,598,709,253,444,643,274,125,056,
147,052,820,305,810,184,099,384,143,629,817,194,201,501,610,495,350,676,678,
741,448,190,950,790,225,937,614,173,189,697,151,965,917,422,898,483,232,159,
106,495,659,467,643,050,267,118,138,315,020,704,960,607,829,065,244,485,040,
904,726,276,962,425,395,313,198,361,684,914,004,471,673,935,108,427,957,359,
903,892,340,034,791,782,878,714,511,451,866,184,752,424,938,266,877,717,966,
277,901,882,253,386,344,642,101,913,072,754,405,488,383,166,123,980,272,108,
235,161,879,624,180,578,398,151,946,021,109,145,535,653,442,913,147,192,749,
375,358,613,817,817,525,638,930,630,517,193,670,078,808,278,053,153,206,414,
685,816,889,333,326,290,983,791,033,175,425,860,453,127,492,972,598,122,343,
856,562,068,428,710,849,144,733,902,643,341,024,639,396,805,547,640,336,883,
285,243,556,117,961,779,368,138,033,161,775,855,819,770,754,674,941,221,927,
424,581,128,681,274,591,824,235,520,285,702,406,927,729,916,926,631,290,993,
848,996,461,181,898,559,174,938,552,177,945,280,918,095,097,069,335,852,359,
434,475,046,212,313,878,915,266,485,528,871,251,352,077,307,063,732,049,622,
956,435,590,605,866,937,392,761,140,216,570,686,634,068,234,640,953,163,805,
566,474,830,886,605,785,232,185,892,793,064,036,473,571,793,025,691,807,379,
472,409,803,300,466,783,956,255,106,955,692,294,205,298,268,683,446,157,950,
768,551,970,268,529,807,602,695,884,993,287,862,148,186,645,154,510,901,935,
658,409,110,444,398,808,775,449,814,677,990,805,184,805,686,450,585,920,441,
076,882,984,409,629,240,884,401,476,315,696,930,551,473,795,903,604,235,246,
542,001,767,476,013,125,639,348,499,908,454,519,270,980,120,987,501,078,099,
956,571,934,705,873,870,138,615,027,416,386,817,509,260,461,515,391,534,978,
150,711,899,179,770,938,930,983,132,305,256,104,307,531,401,989,273,451,505,
595,493,379,695,887,831,268,877,785,110,257,828,050,119,467,175,219,504,573,
403,558,449,888,620,176,556,696,527,811,181,281,762,358,990,740,325,758,845,
224,498,992,611,286,719,226,100,450,728,038,698,069,534,489,381,239,094,635,
136,881,618,457,931,407,602,752,802,769,444,090,784,043,381,044,669,621,156,
036,570,566,391,944,060,080,830,829,045,909,569,929,015,037,246,637,807,902,
462,619,965,945,911,814,202,576,313,958,993,475,443,967,724,171,994,314,413,
734,624,131,363,938,887,505,691,032,773,379,528,537,733,720,353,985,443,732,
198,012,721,760,415,871,752,774,190,805,014,837,895,626,135,130,621,794,556,
669,574,982,283,892,149,333,328,702,939,261,769,264,640,649,552,090,616,680,
268,424,059,365,025,837,324,055,275,649,565,965,113,821,512,230,130,086,106,
166,305,468,281,476,909,941,277,161,251,794,076,523,911,807,951,334,116,571,
733,453,300,394,247,929,854,238,239,746,659,075,543,137,187,432,146,260,431,
678,248,501,431,921,772,938,472,901,074,291,491,990,489,410,486,103,668,284,
933,601,488,160,850,396,983,364,898,105,949,796,200,375,324,349,368,538,603,
950,197,070,866,239,291,225,907,305,807,942,304,707,266,988,969,256,235,328,
910,931,529,916,013,749,041,125,843,164,271,472,107,846,853,359,488,590,096,
921,062,461,150,263,814,638,996,274,725,080,524,499,621,375,935,277,739,803,
089,907,987,981,110,529,247,463,638,741,783,757,363,585,473,589,973,158,740,
724,783,440,396,155,533,190,819,271,897,654,643,644,791,683,629,041,790,722,
772,904,603,316,514,860,186,000,581,668,895,766,356,552,905,291,811,802,893,
529,738,427,532,913,188,910,720,130,982,833,025,664,111,070,003,990,239,821,
870,173,339,043,876,444,230,011,216,064,899,110,430,390,492,906,359,473,623,
926,658,378,218,325,929,698,505,724,825,574,487,513,175,570,110,168,600,610,
357,641,760,668,194,551,848,383,373,629,111,391,194,763,556,825,725,492,634,
290,173,471,132,607,088,657,603,775,323,174,395,246,004,382,024,470,995,139,
609,512,751,105,162,201,518,091,782,932,850,972,366,595,318,101,392,665,220,
859,913,458,905,793,746,871,220,208,698,181,479,714,496,649,181,752,198,582,
351,743,072,049,121,598,334,628,136,554,186,190,796,108,790,825,593,438,366,
331,825,521,967,390,497,301,158,724,714,642,452,458,587,179,112,562,723,320,
857,595,769,179,275,028,410,628,304,913,294,746,905,503,935,575,472,398,853,
358,209,646,851,688,016,615,796,129,443,115,924,929,234,899,594,256,515,894,
768,382,703,370,826,897,612,547,185,755,024,005,415,822,401,720,122,442,781,
830,870,508,616,962,386,629,957,650,460,319,831,913,983,860,951,166,551,824,
268,822,953,072,020,109,875,838,829,358,103,009,001,063,131,662,272,053,902,
103,280,638,211,302,849,266,794,016,133,638,628,756,511,671,202,748,549,286,
079,321,165,810,810,340,323,852,173,760,293,502,312,071,821,930,665,325,836,
083,710,232,918,628,944,871,186,658,448,037,944,790,762,089,783,006,501,739,
362,638,434,854,219,819,610,171,058,172,676,906,905,528,432,061,479,984,281,
039,454,747,822,644,907,344,078,252,343,859,370,372,189,483,340,452,660,545,
591,812,563,263,493,590,761,036,279,411,955,963,030,179,317,179,583,130,914,
035,859,748,202,822,383,438,878,164,746,219,837,492,010,977,731,273,447,497,
669,893,636,751,769,410,703,797,950,131,097,325,844,931,977,133,385,800,918,
346,187,905,704,497,282,553,494,873,499,262,505,677,647,485,494,232,099,163,
041,878,353,899,616,976,171,803,790,232,910,199,197,451,982,122,332,254,785,
326,421,091,212,149,604,002,409,798,415,951,614,067,663,012,509,567,217,887,
297,604,841,161,990,181,947,473,768,456,145,842,536,223,536,660,822,748,423,
242,021,690,415,169,453,327,142,163,619,813,785,394,600,813,638,338,126,242,
461,108,780,689,364,398,723,772,491,223,428,737,253,980,560,326,901,422,627,
605,749,886,942,480,205,693,418,433,981,733,591,628,566,011,017,173,683,051,
837,683,641,883,342,820,717,986,137,637,173,031,158,848,171,163,941,768,903,
831,091,796,850,894,898,827,395,126,157,724,361,625,778,371,796,662,415,219,
852,940,849,933,631,148,837,748,288,646,859,582,480,219,579,970,379,942,725,
815,837,303,064,533,945,607,768,049,797,756,603,492,738,686,190,343,830,120,
159,143,379,034,226,077,521,661,130,085,634,715,631,368,057,876,874,634,003,
093,787,263,488,176,790,359,142,536,169,698,143,684,979,483,085,481,707,583,
241,568,896,763,620,396,156,361,005,061,146,834,749,864,339,790,996,971,932,
167,935,699,991,639,849,585,259,040,218,621,956,348,626,040,380,810,213,151,
015,734,566,130,829,530,803,716,463,368,289,767,842,152,270,910,120,672,116,
941,000,649,947,393,653,741,326,106,487,836,388,284,321,430,624,998,458,509,
182,823,436,971,552,918,978,686,448,411,642,354,682,061,923,646,002,164,969,
569,886,277,389,452,190,520,503,396,145,478,201,314,862,244,866,646,068,932,
233,346,241,546,675,399,886,109,108,510,714,864,247,217,383,959,134,022,278,
844,596,845,793,578,512,731,031,834,017,936,960,896,334,173,146,638,666,094,
076,147,033,007,988,713,368,026,119,573,286,866,374,664,158,126,759,346,931,
737,187,046,892,230,425,558,262,532,247,930,402,555,480,898,193,296,275,675,
601,433,714,491,477,089,404,972,349,279,099,607,671,512,982,928,578,501,523,
467,344,674,394,927,997,652,014,651,997,051,001,504,509,476,960,489,066,606,
614,267,584,009,919,302,557,184,846,739,926,902,069,701,994,850,123,116,693,
699,186,941,981,915,463,472,494,061,187,209,715,102,666,814,226,055,340,173,
658,957,889,799,029,684,345,149,959,465,254,481,344,714,555,217,609,694,081,
803,210,995,013,783,273,166,717,120,654,549,032,676,882,940,487,826,964,073,
067,670,763,169,210,616,532,827,457,309,462,078,725,971,706,588,862,418,483,
434,760,524,819,240,763,592,171,531,235,392,013,547,209,594,800,308,942,186,
605,374,604,252,275,242,756,002,123,510,489,491,274,855,110,133,478,951,513,
469,202,724,655,287,318,912,314,305,743,860,575,940,664,377,264,374,226,097,
260,225,793,726,327,032,049,375,840,770,248,395,826,482,439,132,344,084,592,
247,855,025,693,789,010,745,456,934,341,267,530,365,224,112,783,641,385,823,
809,774,695,051,679,053,344,482,296,752,628,671,707,657,300,922,953,350,524,
024,181,365,776,847,810,151,331,582,445,610,427,356,560,623,499,796,593,407,
518,826,428,004,708,747,840,694,191,332,601,599,366,810,630,134,606,379,194,
630,934,093,254,900,105,230,724,290,290,841,623,212,974,821,647,533,846,248,
209,102,617,156,358,502,065,472,322,897,892,619,921,564,958,597,899,446,197,
625,979,105,042,903,234,872,011,812,229,658,208,866,962,407,032,670,784,102,
569,958,477,080,359,032,588,947,861,577,250,215,919,950,625,931,173,161,088,
191,013,989,399,673,220,362,577,230,970,000,597,520,774,494,965,305,913,848,
085,492,168,911,997,184,245,239,093,480,893,942,270,666,861,708,284,697,551,
570,494,974,104,313,688,621,268,693,811,548,936,722,641,152,600,147,678,971,
788,307,129,293,404,029,839,312,676,467,851,292,377,487,291,738,563,714,670,
252,285,287,290,930,199,429,758,588,295,175,057,932,521,300,150,777,149,260,
132,736,069,763,327,051,636,288,466,814,271,835,080,192,558,855,242,630,187,
386,244,110,520,107,921,167,114,508,045,712,941,959,844,079,678,884,442,844,
130,353,304,982,807,394,150,083,257,219,315,967,480,891,546,400,257,243,090,
611,684,534,734,777,819,360,672,133,136,878,411,185,545,317,228,087,771,754,
135,274,713,156,162,953,343,713,037,895,647,360,743,835,053,701,345,763,659,
810,726,198,993,404,553,190,095,241,139,959,555,591,368,421,758,494,505,277,
920,215,917,398,650,812,010,157,687,925,435,607,803,229,695,322,091,153,925,
537,757,690,178,235,415,488,019,156,554,475,847,499,976,282,876,343,191,336,
200,449,352,637,338,352,472,087,589,355,310,714,104,103,043,774,514,122,494,
540,506,937,535,085,200,828,451,510,844,368,983,841,671,427,171,366,729,856,
302,294,446,435,095,735,850,098,761,886,817,918,645,715,309,686,134,760,191,
160,972,798,982,747,911,970,934,665,061,957,456,778,645,591,434,639,972,055,
328,799,821,853,842,241,711,923,811,774,490,484,849,254,966,414,669,993,824,
216,403,730,955,713,325,961,564,966,040,429,648,890,338,943,336,406,703,401,
404,195,814,396,042,514,143,179,519,381,903,793,839,072,952,931,403,884,451,
470,081,010,968,778,618,621,155,058,469,248,527,222,192,625,922,274,647,551,
808,542,336,343,402,528,353,067,046,916,114,693,737,054,893,521,400,839,548,
587,368,423,221,445,595,411,434,541,386,957,029,572,474,958,474,250,237,797,
978,481,973,334,280,398,884,540,507,012,388,427,321,970,413,533,171,094,791,
424,575,779,042,661,748,408,634,460,950,916,402,150,346,294,737,129,737,013,
037,588,430,682,776,743,389,685,962,060,399,728,496,129,460,784,343,969,489,
787,866,251,263,507,885,375,502,923,778,922,216,388,373,326,742,637,496,316,
118,978,351,796,634,319,739,055,773,731,568,057,964,984,427,050,581,341,915,
970,841,447,800,833,604,325,335,322,687,957,335,156,700,985,646,350,530,884,
489,096,267,089,198,505,244,430,772,987,094,255,138,934,146,590,067,253,990,
380,234,651,517,253,502,159,484,609,065,188,991,670,799,454,275,715,216,412,
745,204,183,482,226,938,616,625,854,971,436,234,353,877,963,536,603,070,050,
194,227,293,564,669,661,069,260,588,262,746,467,082,063,474,671,979,494,397,
055,785,610,318,884,486,914,200,039,021,241,724,022,910,644,498,852,524,995,
088,319,009,173,413,751,954,973,319,624,543,548,531,916,192,395,686,420,029,
044,678,684,879,829,604,305,351,710,412,593,208,535,370,014,971,514,509,026,
173,039,529,261,391,183,380,518,511,536,967,002,720,618,855,217,545,719,916,
620,642,053,542,024,292,328,421,101,740,890,086,208,934,011,145,576,236,492,
711,482,673,642,081,012,201,476,882,728,552,004,748,046,954,598,103,382,497,
989,897,232,210,126,935,670,364,544,626,670,942,457,611,443,165,081,896,249,
434,906,093,522,068,175,097,968,115,706,946,884,191,957,664,913,938,333,850,
843,934,575,704,389,257,642,583,745,684,419,891,492,765,153,833,223,473,722,
953,356,621,313,200,200,514,877,131,154,582,870,084,876,357,912,656,356,052,
182,197,573,038,803,697,267,595,890,884,683,598,129,400,484,575,313,910,623,
311,963,985,515,460,994,388,895,083,359,899,406,240,044,530,187,691,020,134,
079,845,116,666,525,121,974,865,230,792,797,682,332,961,860,246,435,916,536,
135,690,257,215,605,002,869,801,773,124,454,217,534,657,361,609,809,214,673,
157,626,553,698,246,362,002,803,197,170,825,416,949,645,600,921,412,664,990,
620,731,291,375,510,561,657,494,248,702,094,065,317,012,513,210,323,135,406,
055,980,112,764,560,501,830,761,799,644,692,231,219,876,188,106,929,499,204,
912,674,107,871,425,052,300,993,253,184,405,991,950,998,786,942,882,451,949,
236,390,702,004,384,269,538,452,639,675,373,956,826,068,019,007,970,464,316,
439,054,395,163,022,963,063,979,292,435,682,417,197,740,513,840,939,313,572,
591,093,991,857,851,589,557,727,486,982,356,698,242,589,176,026,259,253,602,
391,819,495,632,612,971,011,738,900,951,301,395,539,647,398,784,097,481,286,
771,825,222,381,232,441,593,179,900,163,334,532,285,908,507,604,477,078,035,
498,830,040,987,816,441,612,158,927,354,076,290,093,019,777,215,918,410,821,
498,869,153,218,535,956,849,027,504,431,849,580,238,190,174,798,359,936,924,
508,802,949,718,315,860,279,028,977,389,532,091,012,380,869,874,908,162,155,
450,814,097,642,779,452,512,707,204,785,595,958,356,063,315,166,315,539,559,
169,237,961,808,717,467,531,870,169,439,134,913,047,736,659,134,874,464,362,
452,769,045,345,466,162,796,258,492,411,274,598,847,559,773,273,970,374,499,
822,064,013,425,630,235,413,571,807,087,816,446,577,670,241,833,792,164,085,
610,988,585,341,386,096,135,957,300,732,598,913,258,451,409,352,769,391,859,
337,699,951,602,252,153,223,275,676,526,873,620,171,185,496,061,339,622,118,
818,160,313,438,488,370,952,628,755,597,220,962,481,867,193,406,517,546,074,
172,754,150,529,294,786,085,146,839,031,430,825,384,414,665,939,285,639,260,
386,552,511,172,386,999,589,088,919,501,928,960,270,887,516,412,194,572,631,
226,157,852,979,728,604,807,977,373,104,986,820,134,755,102,076,582,383,408,
879,060,749,955,435,570,844,973,291,835,807,874,063,255,198,661,991,633,780,
426,379,295,593,636,300,055,734,857,998,766,977,499,081,705,946,159,814,362,
630,749,356,282,618,589,860,279,549,403,179,396,174,954,251,781,488,939,100,
359,261,379,306,380,266,016,417,908,200,709,172,637,820,525,909,118,288,906,
891,823,109,635,531,877,907,243,466,393,670,701,018,089,614,552,708,723,462,
936,474,340,336,857,154,385,582,772,770,407,906,527,481,908,909,023,470,164,
438,351,727,478,315,428,256,139,864,570,831,243,143,153,701,622,911,939,486,
407,322,940,739,336,350,581,495,461,337,091,010,353,477,641,134,454,714,437,
534,596,216,846,507,169,815,400,151,041,709,169,028,768,026,618,448,457,581,
637,877,566,436,201,948,643,686,587,768,272,610,817,664,055,470,605,252,974,
701,418,548,302,030,580,374,612,076,237,656,689,301,683,081,671,132,486,797,
048,013,066,695,678,950,724,390,210,491,801,552,963,327,733,617,826,270,535,
963,247,892,665,780,713,440,535,445,689,076,940,488,835,788,361,620,828,639,
183,907,531,015,311,975,717,501,731,998,458,154,339,573,276,394,800,225,483,
385,091,981,199,241,966,758,502,631,708,539,698,337,210,348,187,774,482,202,
868,084,336,037,287,402,690,034,507,859,540,117,829,915,009,781,100,820,550,
457,212,908,945,530,486,018,083,935,500,881,523,627,180,623,518,224,501,438,
911,586,643,099,431,196,221,752,662,819,636,957,877,116,153,103,775,288,681,
312,983,413,809,483,082,299,165,125,728,974,801,956,444,546,977,521,413,612,
762,573,578,649,624,274,276,151,065,202,671,210,903,875,582,564,971,015,842,
093,091,003,496,482,697,617,500,461,493,393,022,881,209,520,802,979,306,400,
821,926,623,909,390,662,675,348,218,769,832,898,072,099,028,012,128,417,850,
690,454,786,783,447,702,895,866,270,427,100,913,839,818,899,351,521,149,683,
574,188,058,199,082,905,109,129,171,885,709,414,422,519,062,697,294,922,796,
294,803,504,474,660,332,068,679,218,892,820,378,695,741,382,220,946,136,569,
613,870,138,170,913,030,781,312,164,254,839,747,252,497,089,885,068,398,405,
798,135,371,436,932,182,589,595,278,549,537,391,859,737,165,427,217,950,166,
703,641,663,603,368,698,416,951,769,677,129,224,376,630,916,694,013,229,887,
384,203,372,799,020,854,759,090,081,364,227,952,124,089,950,846,922,265,559,
741,004,485,231,303,491,232,748,710,544,006,434,439,504,755,934,721,840,994,
734,030,330,956,917,544,804,797,248,081,572,209,529,750,207,588,623,167,812,
912,656,443,929,973,281,502,294,628,570,483,560,913,278,417,242,101,473,508,
050,368,498,039,755,939,916,623,669,903,785,257,933,339,859,429,590,201,236,
541,246,794,600,769,118,127,823,123,715,322,982,122,002,225,833,834,128,373,
369,230,011,937,054,532,280,533,498,220,042,105,962,629,984,651,386,493,880,
861,280,668,998,045,528,997,797,629,583,313,125,000,040,025,545,874,489,619,
101,627,775,910,296,458,362,007,015,945,232,839,250,787,268,238,517,128,470,
862,375,780,259,651,590,594,042,381,197,902,883,584,224,182,109,370,906,884,
345,926,358,766,908,498,801,569,776,331,103,010,946,688,683,685,831,671,680,
548,268,862,892,402,229,283,529,257,299,264,144,927,568,689,764,772,396,368,
747,367,691,087,222,984,140,282,573,789,294,433,239,249,988,133,800,129,538,
390,073,176,826,758,044,205,921,155,443,398,519,753,864,510,265,508,908,570,
374,654,959,643,778,965,610,595,840,633,869,045,119,893,560,058,912,680,621,
589,997,611,389,265,205,024,973,096,865,070,432,605,790,877,404,330,310,378,
050,280,763,867,816,134,768,453,896,386,729,541,427,456,017,636,098,526,204,
769,081,039,933,285,125,416,300,285,415,536,036,937,202,559,411,921,133,436,
386,391,511,498,090,334,861,513,705,431,382,483,833,067,161,578,135,446,344,
745,207,538,920,220,858,886,180,120,215,071,829,271,744,736,900,308,803,981,
457,110,421,666,793,151,957,004,226,743,422,080,061,478,183,343,969,236,805,
427,595,481,177,602,928,490,933,025,351,840,328,636,536,801,407,451,508,892,
993,863,861,743,172,818,053,292,979,489,352,213,351,190,171,302,840,308,005,
485,401,234,267,011,417,296,125,582,725,330,531,627,895,396,705,353,779,419,
174,982,576,399,717,076,233,024,035,927,561,444,653,764,742,879,570,556,165,
672,523,650,804,035,001,831,970,010,631,915,757,666,039,734,470,858,785,384,
448,180,784,123,868,176,993,134,339,186,220,899,478,604,332,442,113,778,100,
962,056,754,187,418,353,999,099,928,776,302,283,267,684,022,393,956,460,236,
040,867,100,724,770,719,531,903,307,531,448,159,726,341,467,102,350,392,363,
784,288,684,866,233,684,123,835,776,588,519,000,036,531,059,888,049,302,240,
768,227,748,530,801,523,349,977,113,055,149,842,629,428,609,536,092,116,488,
298,189,870,006,359,410,436,194,819,640,990,760,148,048,240,200,576,297,314,
624,801,342,450,383,993,651,484,486,202,463,840,975,732,618,620,226,817,440,
682,980,901,159,321,445,515,108,037,505,860,558,179,040,641,419,301,459,720,
192,814,918,487,958,762,643,945,162,955,405,197,829,645,938,620,962,879,996,
819,104,301,696,858,376,262,955,818,548,913,680,168,749,130,656,159,975,610,
165,637,978,639,276,893,889,265,361,380,039,133,846,079,058,480,342,352,932,
824,778,557,020,023,352,358,609,557,962,022,388,788,328,756,351,355,840,154,
260,224,388,044,311,687,032,951,676,693,488,957,614,026,846,808,799,237,137,
549,982,260,355,225,561,307,913,851,686,260,895,504,898,461,832,339,326,979,
794,907,633,262,729,890,236,013,789,094,957,620,051,830,457,987,038,923,276,
072,512,807,634,838,525,222,786,053,056,009,730,810,202,539,743,688,021,399,
960,937,774,991,352,238,400,145,195,996,770,357,697,769,881,051,125,387,379,
895,451,605,623,668,449,779,827,186,844,576,720,246,490,796,071,950,471,912,
186,463,537,824,605,455,624,557,224,601,133,156,128,245,210,289,869,177,417,
126,492,707,089,173,655,598,219,640,418,936,771,870,311,475,340,808,047,164,
218,160,865,231,326,177,978,186,094,325,026,735,680,503,510,400,979,295,315,
622,542,156,418,936,795,692,167,841,283,543,829,731,474,205,318,063,644,338,
449,392,035,634,511,145,066,585,432,695,812,093,540,453,595,625,850,367,602,
753,955,597,690,297,150,026,692,519,838,198,677,297,075,530,724,339,510,653,
343,274,521,839,278,451,461,107,795,851,513,514,264,103,503,892,694,407,548,
124,038,395,883,828,581,774,379,145,651,514,223,498,440,163,247,584,896,300,
140,610,403,227,855,389,795,466,070,451,756,346,349,441,089,564,649,392,224,
807,783,298,762,085,253,532,076,837,933,999,391,619,784,240,321,214,443,324,
673,965,468,856,682,098,643,180,448,125,313,541,505,564,016,313,883,824,366,
388,150,214,888,266,032,872,682,136,022,805,160,528,343,589,240,023,921,743,
626,185,412,388,513,291,796,768,879,364,976,098,687,100,906,173,808,272,746,
849,823,073,358,963,896,182,467,248,165,835,376,432,979,757,947,072,555,353,
417,210,252,171,978,818,030,339,749,686,207,733,716,730,438,071,098,416,595,
789,813,077,164,090,877,931,215,241,505,355,940,818,329,056,314,863,096,622,
160,837,389,397,186,447,820,736,140,765,666,118,701,701,356,702,593,595,678,
487,811,211,992,290,956,228,243,292,323,002,307,398,715,569,068,225,444,307,
324,011,987,916,773,013,721,666,682,116,953,290,982,535,161,839,311,743,281,
077,550,759,737,326,963,751,426,754,848,301,160,821,762,962,095,122,771,606,
845,121,664,202,022,770,641,247,539,113,416,405,998,228,934,846,194,717,777,
960,521,102,105,869,278,585,243,223,904,822,713,992,944,857,992,490,549,262,
556,528,561,049,480,230,520,072,336,762,529,054,882,971,926,705,649,689,077,
740,124,293,085,726,722,237,293,983,735,962,889,920,493,795,657,203,491,557,
944,996,724,471,532,478,351,723,950,445,671,778,943,410,529,627,269,107,113,
203,981,726,604,384,840,937,664,639,773,389,251,596,337,480,540,851,323,785,
543,933,060,981,360,741,240,748,709,569,457,908,358,042,752,086,140,968,434,
248,894,884,164,333,403,473,082,487,154,682,021,208,373,480,579,043,841,905,
735,898,714,807,301,534,590,853,076,907,600,871,779,836,250,218,828,567,351,
143,298,131,087,085,144,267,113,577,601,742,183,058,274,177,804,403,057,329,
604,304,061,927,034,705,030,728,222,811,981,015,027,888,424,229,185,182,182,
838,691,360,649,075,522,061,704,351,095,579,205,819,827,584,200,506,849,361,
263,771,466,020,342,507,799,684,303,659,202,941,584,140,102,267,150,039,932,
922,643,275,754,035,264,840,986,877,183,406,503,856,967,033,004,800,612,233,
583,642,488,621,393,716,624,213,214,465,178,111,218,708,016,743,043,175,406,
787,189,712,336,751,455,570,259,384,521,054,194,021,875,183,706,656,707,950,
124,716,503,013,461,362,641,658,249,031,961,062,904,047,372,095,164,012,849,
847,292,181,784,446,951,717,554,992,116,106,270,563,275,036,833,157,256,869,
765,929,267,379,508,796,037,704,921,287,789,841,464,235,782,987,005,627,573,
571,644,357,244,281,932,474,145,841,002,126,699,016,852,459,424,322,464,922,
945,695,198,158,263,759,787,182,804,175,063,578,065,387,991,407,652,476,636,
285,832,770,252,405,761,398,683,670,016,097,141,083,031,522,339,579,248,971,
546,744,697,399,003,124,390,415,295,580,253,414,499,557,226,611,236,281,792,
395,309,855,685,833,675,829,703,188,527,721,701,881,401,240,312,805,274,816,
383,783,556,427,657,523,404,043,802,800,727,044,232,825,529,446,158,740,228,
062,753,831,532,796,440,287,832,410,704,356,277,866,154,253,654,448,748,632,
616,801,071,582,000,539,979,878,587,347,100,000,820,072,254,917,043,839,283,
573,686,952,068,826,852,588,796,038,978,757,011,058,693,348,459,985,783,085,
235,456,288,462,383,076,285,768,535,264,904,769,216,129,673,051,983,996,823,
547,877,513,235,124,170,722,255,386,522,169,978,395,742,089,122,188,804,643,
406,057,988,048,182,766,129,683,775,162,814,004,351,588,041,310,106,608,795,
692,520,245,849,870,018,289,437,470,403,780,007,655,205,339,727,885,771,922,
760,550,180,700,512,619,723,821,663,483,002,211,283,587,194,475,876,323,990,
544,209,958,251,569,909,132,855,871,022,744,938,893,616,529,206,969,183,127,
704,551,997,214,075,444,554,175,033,458,236,112,332,614,388,309,541,784,080,
697,944,262,669,610,320,947,175,806,388,420,844,415,620,344,157,255,930,143,
991,256,337,731,182,032,637,189,477,420,969,607,675,464,676,297,317,942,808,
482,367,220,484,856,290,962,825,339,768,356,960,651,750,487,568,103,312,603,
298,501,253,400,179,582,700,983,014,769,444,562,788,412,075,033,952,635,996,
222,898,284,103,555,458,494,274,477,335,206,738,681,203,480,208,441,220,759,
294,539,754,918,857,030,735,046,997,719,422,565,173,745,490,707,117,188,901,
523,083,850,314,555,597,385,144,275,997,704,989,390,738,946,107,523,090,591,
162,729,823,150,913,768,273,526,456,483,465,892,076,328,869,202,972,191,858,
103,173,615,607,062,774,087,717,997,290,205,826,913,711,075,512,379,958,717,
182,782,120,935,177,751,392,523,365,475,108,649,571,316,294,317,482,406,332,
498,728,733,651,806,505,870,468,524,501,447,317,143,502,370,215,146,020,261,
696,362,503,700,625,821,098,456,872,485,557,810,650,428,734,463,929,758,475,
701,443,945,068,296,326,204,471,157,391,368,707,143,807,162,812,053,691,791,
224,556,672,101,636,368,253,908,926,384,289,691,939,304,198,108,302,243,327,
399,986,985,429,960,069,666,641,247,789,726,962,830,526,466,653,580,867,648,
663,564,678,714,929,912,231,468,343,773,183,811,565,605,702,062,984,846,494,
374,890,633,729,565,656,986,897,189,640,015,845,871,147,033,776,872,461,726,
587,144,303,918,857,774,376,163,956,528,903,798,840,999,966,532,772,783,101,
097,136,955,118,134,945,832,897,850,944,107,542,838,921,003,595,045,296,258,
861,056,907,711,514,700,743,927,644,624,288,818,129,498,357,501,976,956,659,
766,270,905,809,608,659,980,523,231,328,478,929,847,984,537,829,890,154,921,
127,219,966,393,478,507,125,521,019,152,681,048,350,277,425,166,398,273,759,
162,923,670,330,319,265,533,362,887,355,933,948,409,494,485,377,586,965,360,
662,566,243,165,733,430,589,611,302,929,979,652,331,645,885,164,576,658,812,
657,606,258,037,300,614,661,991,593,973,667,423,148,109,918,860,197,878,088,
670,453,400,047,033,250,208,134,410,019,096,330,622,913,491,899,134,945,136,
203,969,414,795,826,836,128,329,105,709,359,592,203,978,791,941,986,346,070,
118,097,870,222,158,621,568,784,986,624,268,722,348,015,269,740,064,885,047,
012,688,342,883,956,719,554,847,250,519,790,734,284,539,852,238,495,744,977,
486,662,150,776,569,005,443,911,992,432,483,887,576,349,278,913,557,674,224,
651,392,523,058,419,947,401,700,290,378,477,315,465,127,065,513,713,101,801,
935,118,122,480,372,818,156,574,374,920,801,743,197,039,246,145,365,264,424,
055,511,809,040,857,405,918,512,104,615,124,237,379,329,780,659,502,652,995,
720,948,436,233,061,286,639,940,670,390,315,049,735,227,980,831,917,645,064,
817,382,610,519,265,175,091,498,900,692,433,941,716,205,411,715,759,992,748,
580,785,268,446,903,315,688,332,148,742,039,073,373,695,132,637,698,001,504,
593,856,195,245,190,950,639,181,501,255,564,242,821,905,652,560,953,008,422,
850,874,117,929,916,643,616,773,625,391,457,052,425,295,110,075,231,869,736,
734,643,163,519,297,304,456,139,177,741,360,144,440,467,593,077,261,484,197,
234,144,919,380,523,840,320,246,130,472,611,168,961,978,682,263,841,496,421,
127,146,062,725,337,246,935,720,366,822,026,760,116,935,867,066,698,622,473,
637,660,274,659,998,488,625,528,970,402,063,439,961,117,394,879,490,330,508,
233,512,752,967,883,527,419,246,341,905,785,484,621,318,452,906,771,317,737,
292,618,170,144,676,652,534,250,394,764,075,765,822,563,071,860,128,702,067,
614,001,224,055,139,122,292,790,076,636,065,727,857,903,932,747,048,984,864,
924,656,186,328,107,679,379,802,654,795,223,661,309,762,334,695,108,571,402,
177,355,330,936,718,663,751,259,848,946,935,758,837,115,901,017,771,513,511,
204,768,896,169,455,639,298,287,090,431,578,711,299,494,575,007,918,697,930,
824,402,893,080,439,616,584,025,035,344,219,997,760,991,724,043,958,757,179,
149,865,137,928,500,781,383,504,835,878,985,062,218,251,854,607,760,324,834,
854,045,836,334,239,876,132,863,347,233,028,954,084,870,204,892,042,253,597,
841,737,484,124,996,639,189,329,675,662,318,077,375,652,555,765,101,932,778,
077,919,262,937,595,831,151,229,879,583,603,384,910,935,284,736,817,874,191,
618,409,042,179,036,092,884,685,150,318,264,312,925,837,124,156,326,790,075,
793,056,750,346,721,505,351,060,302,663,122,050,408,259,390,162,276,336,188,
017,569,581,034,538,636,413,041,440,564,508,023,811,884,817,537,582,085,949,
405,626,062,175,527,730,882,865,539,475,631,115,461,050,382,722,984,203,830,
677,827,912,245,455,426,549,158,068,335,470,494,496,743,710,272,052,728,216,
720,061,234,223,197,731,473,309,374,699,486,419,430,638,231,018,247,623,824,
411,158,344,004,982,636,771,111,457,950,729,793,063,151,578,020,863,864,208,
867,653,865,300,586,918,904,870,307,229,183,132,094,263,458,328,609,998,765,
530,813,927,015,754,687,012,868,934,093,294,206,585,800,370,476,042,710,403,
571,807,698,549,445,765,699,189,704,093,451,059,178,919,089,461,187,983,155,
127,608,916,269,873,617,216,401,548,457,140,763,784,471,047,579,298,461,285,
887,085,443,964,531,343,481,244,743,331,173,268,105,448,649,308,300,577,990,
263,939,622,863,770,975,484,235,675,489,892,599,336,721,123,766,192,638,666,
941,282,076,963,984,938,897,845,099,107,721,937,690,493,729,926,148,988,779,
213,345,215,924,637,699,353,906,489,326,025,657,495,636,243,201,798,486,727,
893,112,681,653,874,684,527,082,047,926,975,172,476,954,701,695,191,633,017,
410,632,812,503,843,128,241,800,201,906,080,495,794,313,527,153,300,438,190,
047,479,207,935,980,676,047,220,432,983,889,789,920,193,096,084,245,560,206,
799,914,959,212,364,110,586,401,278,822,068,446,968,197,665,562,252,675,232,
236,190,864,281,862,574,051,389,431,635,469,542,441,188,742,507,296,852,104,
414,038,899,175,627,238,851,797,449,750,972,291,598,702,325,741,314,947,384,
384,678,486,409,738,198,309,181,704,921,177,595,158,638,430,477,707,730,377,
703,965,743,707,543,777,292,360,366,720,442,068,767,255,387,942,250,506,479,
728,429,550,222,774,370,195,494,364,724,272,981,510,735,661,963,407,043,712,
641,616,530,012,456,622,479,729,166,339,735,232,879,069,773,162,516,414,649,
168,486,667,649,401,258,398,319,100,679,071,038,389,751,406,625,812,789,133,
288,563,478,706,212,793,830,833,709,225,479,803,021,691,709,958,836,519,590,
201,510,503,744,504,556,483,533,174,503,659,193,947,833,489,825,672,840,708,
207,273,184,108,251,136,506,251,192,123,156,605,467,938,788,985,770,150,046,
090,742,171,593,535,057,266,999,184,647,684,728,963,500,504,536,989,897,145,
716,478,357,072,998,455,600,641,935,304,697,361,171,365,678,804,172,744,257,
432,519,006,441,573,962,467,774,058,960,306,222,273,137,048,455,675,536,508,
242,630,294,618,803,188,558,136,230,211,556,464,363,248,399,242,607,376,098,
371,574,475,538,076,128,497,573,332,329,032,146,964,544,267,916,005,911,401,
700,782,497,310,609,759,970,166,156,162,091,191,684,661,780,044,563,727,650,
305,655,444,107,665,428,903,444,518,258,890,165,442,318,271,644,650,686,151,
272,841,373,018,548,593,270,925,772,418,756,471,263,387,451,775,115,881,509,
265,258,627,685,480,188,083,920,415,580,448,838,713,324,494,773,915,178,799,
359,490,701,749,990,423,721,352,916,084,892,752,849,173,114,242,469,822,403,
671,390,703,775,631,179,997,259,635,570,647,326,400,041,381,781,795,602,101,
639,933,573,593,355,128,161,301,790,514,844,205,397,903,117,260,838,367,144,
168,447,522,879,131,150,281,216,722,360,153,642,057,005,742,614,465,537,627,
077,030,794,523,704,832,983,573,184,709,373,319,699,600,036,947,471,717,238,
381,298,322,683,046,173,194,689,625,975,288,684,859,523,662,977,094,270,155,
628,319,117,257,108,218,246,151,520,017,983,637,407,348,358,252,399,137,675,
967,916,934,794,827,489,993,892,506,916,331,926,372,969,947,956,783,503,631,
391,486,161,495,896,002,423,306,920,051,399,683,827,094,552,338,328,309,470,
179,976,910,125,427,560,084,331,483,958,291,606,934,866,979,677,469,401,610,
940,662,325,140,425,598,791,254,452,929,970,068,577,672,670,636,816,951,048,
391,605,446,603,098,590,708,520,823,003,366,024,375,743,133,947,853,380,693,
389,724,232,889,004,670,837,428,321,727,170,567,632,557,150,955,555,538,309,
533,059,343,208,673,609,894,843,759,583,896,478,943,780,995,699,065,816,226,
209,086,418,686,640,918,506,093,978,978,999,670,414,834,126,735,443,708,908,
034,451,837,934,114,794,207,232,122,610,957,914,171,193,364,730,058,860,368,
687,442,354,753,846,301,465,915,427,082,325,207,163,908,879,167,266,075,976,
617,662,282,692,788,378,934,119,565,522,893,455,913,589,107,434,262,595,558,
141,604,814,380,007,752,149,913,448,434,524,615,308,785,717,946,924,229,625,
893,461,630,906,608,403,107,048,152,135,750,532,013,850,881,728,124,335,480,
747,055,552,730,130,654,244,181,375,547,980,623,117,232,767,358,499,748,190,
431,570,285,274,190,760,363,129,395,483,117,673,007,618,630,758,981,419,299,
959,444,509,867,278,947,186,227,216,055,801,613,031,682,734,794,988,262,867,
777,075,613,556,425,898,441,293,697,069,450,674,155,836,373,214,031,954,853,
664,872,773,282,579,635,738,624,286,761,127,862,278,786,943,574,037,509,899,
992,509,016,130,164,522,800,391,105,944,834,108,544,858,144,595,564,326,879,
303,829,692,534,986,442,618,342,059,558,566,747,477,550,728,337,244,266,411,
312,181,091,302,773,913,370,800,163,866,852,783,899,237,576,683,193,610,982,
179,988,799,537,641,527,705,480,405,072,091,244,323,649,131,779,537,576,616,
415,772,218,234,748,598,616,086,025,923,140,997,716,363,234,668,932,209,088,
395,915,648,481,406,796,053,103,426,939,823,078,647,055,395,511,237,566,006,
974,094,712,280,724,967,734,280,559,479,388,829,975,205,467,271,043,592,311,
548,161,512,131,695,750,889,069,175,461,652,310,525,999,597,162,417,485,226,
304,310,977,688,934,394,785,555,009,104,905,801,851,447,679,604,520,071,407,
532,647,297,334,924,888,439,070,259,075,234,449,617,497,525,705,732,258,532,
407,324,270,577,081,018,355,632,363,381,337,400,408,221,003,540,521,716,842,
649,358,584,207,853,091,225,308,112,707,714,155,228,799,708,978,988,832,637,
200,806,650,805,546,425,369,452,673,892,576,108,086,149,081,216,985,570,549,
023,428,032,382,956,163,716,162,253,063,953,471,591,560,224,602,943,365,644,
239,846,486,840,387,423,763,842,555,039,134,982,359,796,653,619,582,188,418,
001,368,477,573,900,506,364,870,443,503,116,481,820,424,277,832,774,114,948,
209,119,801,013,067,288,539,278,422,746,610,411,232,830,605,357,555,879,108,
699,680,957,013,462,576,576,485,444,562,755,416,044,304,023,933,598,307,130,
797,760,244,056,743,671,224,405,609,636,561,347,709,081,222,885,559,282,624,
483,833,909,508,552,070,393,663,361,102,662,375,279,747,156,735,922,679,405,
640,823,611,287,184,457,595,524,992,744,126,385,079,178,821,099,374,847,171,
513,104,267,846,991,206,582,702,958,362,910,240,240,744,939,978,027,771,902,
498,073,813,902,452,985,057,940,908,500,020,567,402,915,570,595,955,371,534,
645,417,558,104,582,009,686,984,542,909,811,011,297,085,435,146,948,680,646,
603,625,013,731,986,563,729,455,585,683,027,118,814,590,585,556,808,659,382,
510,545,886,231,258,514,538,607,355,418,508,149,823,593,096,823,425,607,934,
700,992,183,526,310,334,360,806,560,393,488,715,558,270,837,918,555,282,057,
814,518,226,678,615,637,004,355,113,008,937,774,913,396,149,910,276,618,560,
286,543,529,429,487,139,629,133,452,425,320,478,685,457,444,485,828,658,767,
090,219,464,873,927,889,512,565,209,213,425,522,259,086,330,214,528,180,632,
105,926,329,093,238,932,246,586,235,369,801,403,475,267,824,802,267,833,305,
122,305,233,259,648,840,505,259,234,383,136,570,494,005,833,792,008,260,703,
056,750,240,920,499,701,994,579,744,414,841,255,097,546,643,332,819,727,350,
042,709,674,494,134,619,490,818,464,344,447,831,334,760,125,455,923,074,770,
436,722,757,039,031,857,274,170,076,754,035,218,142,073,361,545,198,864,998,
258,569,277,257,582,428,567,929,360,426,848,868,979,257,224,729,562,634,131,
386,054,550,627,038,301,932,479,098,577,540,141,541,203,833,981,917,454,189,
807,499,396,897,281,385,937,389,728,298,748,516,257,369,082,622,155,327,803,
239,299,843,688,246,829,120,801,801,383,423,618,721,640,430,707,397,464,090,
106,508,652,481,752,498,468,744,930,390,381,195,922,325,061,779,612,074,816,
756,633,685,115,032,201,517,217,142,796,793,718,798,159,110,804,210,202,109,
169,761,291,837,902,023,051,039,575,435,315,808,002,960,728,378,757,549,216,
867,356,383,833,701,025,889,097,544,320,114,089,898,763,706,858,832,232,638,
091,817,884,815,393,699,224,796,214,849,903,502,522,469,178,154,766,264,433,
446,730,974,199,864,554,560,022,585,288,838,715,538,054,178,422,341,870,653,
984,900,813,848,599,563,531,238,907,211,850,440,744,640,067,681,450,017,662,
474,470,252,129,929,007,320,568,487,642,423,253,615,841,246,107,437,060,563,
316,248,832,414,574,864,473,146,387,533,466,417,859,830,733,228,950,555,152,
656,807,581,608,673,747,733,758,248,176,107,400,582,570,161,005,872,279,670,
456,685,128,861,400,779,847,251,314,954,927,085,061,176,493,807,027,881,939,
789,845,065,249,677,964,805,851,879,303,382,719,848,224,183,313,336,951,739,
930,664,303,700,237,440,149,455,753,632,214,235,678,202,467,628,033,753,529,
718,717,517,701,802,077,441,269,250,033,202,406,670,246,092,429,992,753,153,
438,400,649,093,083,436,504,609,556,220,164,155,850,345,647,771,217,878,912,
342,744,215,448,904,841,150,580,096,140,015,332,684,657,446,936,187,153,643,
388,320,358,881,268,034,629,551,719,170,622,323,803,593,838,410,836,813,459,
634,313,236,119,763,123,446,820,624,592,998,626,625,664,724,617,294,943,308,
687,451,387,747,030,489,169,799,344,726,105,660,611,398,013,986,284,845,398,
808,969,429,477,003,678,117,241,074,905,446,685,826,202,478,724,823,953,222,
890,795,517,035,697,189,662,761,995,614,852,490,702,033,492,659,060,180,239,
369,874,052,243,865,859,010,613,185,353,944,682,354,816,728,215,666,519,602,
154,169,013,796,662,533,773,527,854,578,433,316,686,714,685,559,392,444,491,
887,051,738,023,537,586,997,641,712,699,070,109,247,499,241,345,626,905,536,
582,467,612,103,741,888,254,840,619,302,722,527,951,913,916,206,199,347,036,
873,863,109,807,902,168,776,834,373,131,514,061,313,156,093,148,458,345,634,
100,370,712,281,891,330,929,253,905,179,174,137,730,567,605,556,557,578,100,
729,431,158,728,173,278,220,680,228,431,450,747,773,845,061,854,321,781,401,
642,660,326,106,485,640,083,208,816,209,116,307,566,915,949,298,696,131,262,
401,879,220,719,468,299,883,943,835,725,523,397,414,124,062,048,069,864,901,
305,685,261,230,696,582,077,188,008,159,794,219,320,346,803,360,602,390,419,
022,403,780,386,339,830,266,771,877,372,267,933,702,362,350,334,704,458,844,
634,279,898,335,608,954,517,345,277,175,523,724,491,612,239,355,687,444,655,
173,395,460,012,347,912,775,661,246,431,939,928,084,648,577,409,284,981,088,
643,368,268,945,537,289,062,569,557,218,180,406,688,662,512,860,028,137,721,
245,918,158,918,832,099,189,707,618,407,392,613,322,562,800,204,544,565,464,
537,244,842,179,160,430,411,474,894,265,699,240,867,208,600,135,505,694,329,
003,646,280,395,155,617,884,367,880,061,361,299,762,762,222,578,892,848,849,
765,205,625,820,603,869,770,151,856,611,956,198,562,148,463,279,491,941,223,
779,233,352,836,824,449,545,288,771,078,450,614,678,229,192,881,159,883,201,
208,077,515,811,957,979,671,094,687,088,573,952,894,805,224,551,880,199,986,
357,798,837,765,804,410,576,887,032,537,418,114,953,683,469,161,084,178,358,
718,191,430,789,352,845,153,607,872,750,826,048,816,658,286,301,773,587,198,
633,142,579,353,003,273,879,972,576,722,758,799,186,859,026,548,788,067,586,
156,535,032,900,914,931,362,257,653,375,586,874,164,398,736,736,299,324,728,
588,590,433,400,688,429,783,725,842,485,519,696,337,964,450,094,376,653,816,
133,698,503,517,363,389,948,028,987,048,246,133,493,303,470,905,070,862,500,
147,271,913,818,132,436,796,405,526,955,736,931,972,976,804,452,990,504,781,
637,867,070,637,578,563,690,913,880,463,463,405,943,196,030,287,286,550,194,
309,483,507,686,180,142,420,191,708,331,908,378,005,857,060,110,267,745,183,
077,428,394,237,110,103,286,942,677,541,791,691,391,249,951,190,931,503,014,
830,326,778,261,232,959,050,134,406,062,494,408,576,216,936,704,857,849,616,
806,135,624,233,283,412,314,945,898,415,178,711,513,580,622,334,238,695,341,
594,564,608,738,304,111,000,875,629,373,756,454,764,642,350,565,144,455,439,
920,437,787,661,133,793,978,987,931,508,179,809,394,274,341,392,902,978,814,
071,672,722,694,315,412,865,117,164,485,875,795,748,839,165,589,974,311,302,
678,549,308,790,553,537,665,299,376,433,503,415,372,737,707,050,944,102,775,
237,138,302,719,050,181,487,672,566,248,249,823,012,542,677,456,724,445,619,
295,508,880,285,307,457,765,153,728,364,456,007,590,036,296,504,229,032,699,
084,897,991,277,980,777,612,420,230,721,862,171,758,638,576,227,363,848,611,
887,694,979,795,082,041,909,138,395,498,388,063,321,951,146,737,194,627,728,
655,640,428,857,598,911,694,694,635,119,458,598,324,891,914,268,374,782,475,
698,472,793,749,395,605,952,653,114,207,299,619,169,515,476,345,682,800,270,
697,968,986,415,130,532,002,501,186,999,377,641,060,056,441,361,405,326,246,
489,205,060,303,002,431,285,575,367,146,666,435,538,106,531,762,877,738,942,
907,174,726,901,130,915,706,811,737,430,924,547,267,046,290,078,955,454,566,
729,039,215,151,496,457,441,893,086,110,621,062,812,739,248,219,561,925,328,
228,089,907,627,234,056,374,090,626,491,496,013,843,066,196,275,926,719,896,
036,659,486,082,217,729,844,972,401,534,560,286,296,007,467,816,008,772,866,
410,873,984,760,697,680,030,421,097,724,183,419,461,347,293,708,115,864,784,
838,381,893,448,760,434,121,936,582,993,534,877,230,704,596,102,156,239,889,
643,754,076,119,080,383,731,103,141,753,595,850,119,671,272,979,369,967,582,
430,746,562,142,426,045,508,076,501,486,804,233,733,237,830,454,600,616,933,
574,526,005,170,658,058,365,292,262,056,304,244,899,436,564,923,420,519,157,
133,796,798,781,665,043,844,822,763,291,532,514,453,794,712,368,110,047,409,
604,969,848,148,886,729,592,942,157,246,242,638,226,365,161,185,968,330,539,
841,165,573,284,848,724,853,534,677,245,650,652,331,276,531,744,750,416,445,
901,297,739,195,018,915,057,953,795,331,328,650,610,220,523,839,298,721,335,
035,464,638,773,210,045,658,081,957,284,532,878,762,639,120,931,833,919,324,
573,089,247,566,078,289,441,394,537,028,932,919,691,025,523,892,881,916,547,
589,302,966,306,351,672,603,656,624,073,085,177,975,654,145,484,851,774,835,
466,645,005,366,354,743,414,948,840,111,966,640,058,477,192,309,221,556,304,
411,516,593,590,011,328,692,835,500,773,498,622,412,226,878,084,004,403,254,
044,655,640,559,237,687,422,879,303,313,015,203,850,487,461,213,222,466,415,
294,027,043,404,081,928,219,743,270,179,375,411,532,596,273,040,581,740,479,
012,247,506,223,267,020,055,742,141,430,648,235,146,773,634,493,726,642,301,
535,030,234,089,517,584,973,809,309,692,468,810,958,191,403,091,862,035,155,
482,747,472,281,878,757,231,729,331,358,669,219,598,364,742,543,290,084,005,
725,632,754,557,914,061,947,751,345,155,340,010,752,417,094,782,896,159,261,
146,427,417,376,168,692,468,683,107,092,367,820,772,537,625,577,731,364,486,
195,170,588,595,552,252,148,767,213,393,189,086,726,624,662,909,678,042,366,
131,793,485,779,319,204,727,270,078,010,690,260,430,209,260,112,524,940,788,
501,087,485,134,091,760,597,231,404,879,827,644,802,557,617,921,950,308,167,
598,860,249,141,174,633,564,848,305,701,347,307,441,320,051,146,661,254,266,
882,036,461,089,847,258,992,494,083,580,047,815,162,396,469,782,630,463,854,
889,052,735,479,224,677,388,986,355,523,317,693,109,013,369,073,221,223,118,
863,730,791,279,498,583,087,284,596,571,413,197,183,698,106,582,715,509,593,
264,335,084,998,293,376,357,745,665,364,643,110,064,476,787,828,448,206,018,
165,638,200,572,812,156,226,114,492,642,780,596,658,778,360,143,956,681,435,
305,015,947,737,728,362,905,295,601,804,258,331,354,135,272,295,642,130,003,
291,209,905,264,708,042,701,747,936,155,296,431,996,542,909,399,912,564,123,
572,881,325,359,818,437,390,708,711,458,978,042,760,607,445,238,643,902,772,
422,462,224,682,899,356,437,259,941,772,319,053,097,597,047,304,865,769,411,
474,007,177,311,801,980,458,133,945,711,676,421,179,457,390,222,074,117,284,
361,036,446,507,249,004,117,227,825,221,569,350,053,191,872,071,449,724,719,
378,377,823,557,142,615,882,565,070,416,343,948,138,696,385,159,691,754,401,
836,100,842,124,194,103,033,659,286,766,868,593,834,074,614,939,739,815,753,
613,480,349,338,824,880,200,399,077,706,679,503,053,661,984,096,657,824,260,
893,819,602,754,185,949,057,882,184,343,578,331,112,332,346,269,656,959,536,
120,147,482,119,912,083,200,755,863,536,253,418,520,213,439,958,678,607,329,
439,293,989,896,715,239,012,606,141,211,125,965,828,452,733,630,071,440,970,
370,188,417,599,131,651,622,892,389,007,970,370,029,948,336,275,675,447,418,
482,099,265,641,600,139,452,755,183,019,720,732,889,826,199,994,384,065,668,
291,951,246,353,084,429,444,325,561,360,478,824,331,485,982,934,115,810,445,
122,042,639,342,395,676,491,457,087,700,083,304,910,089,241,935,364,139,712,
101,801,479,838,585,623,267,418,023,501,822,309,153,510,859,538,038,728,098,
566,691,946,972,607,474,860,025,482,323,169,524,448,436,269,137,139,704,445,
442,429,881,401,458,917,519,758,644,689,424,014,575,249,517,892,236,764,406,
948,484,084,139,391,701,085,951,053,566,009,467,389,865,476,471,478,596,764,
101,312,161,907,048,861,619,018,146,138,568,760,180,245,542,219,447,224,806,
915,930,959,542,602,891,458,837,367,857,924,306,647,127,815,961,505,462,586,
673,975,098,048,206,033,169,931,120,419,262,193,309,972,999,631,682,138,572,
077,166,001,574,658,988,490,268,558,102,142,482,825,641,788,183,164,784,445,
153,413,420,919,377,545,748,494,264,287,102,972,953,962,650,197,632,432,983,
907,174,382,640,495,303,863,794,864,376,093,661,555,377,657,528,950,486,353,
687,266,089,573,529,006,781,756,674,895,587,197,836,675,521,325,842,945,773,
377,491,908,311,862,035,210,731,108,665,364,403,951,718,034,651,381,785,772,
618,867,188,634,089,762,613,485,505,061,507,228,561,720,528,469,287,886,189,
836,057,823,122,121,605,897,208,581,278,827,047,802,917,722,403,684,866,599,
441,930,940,162,064,512,207,001,543,159,738,705,865,952,362,498,648,617,072,
187,604,526,242,096,592,743,772,743,985,688,805,550,644,909,078,559,079,733,
576,421,050,666,024,399,968,155,642,053,436,227,883,433,695,178,703,342,235,
358,108,052,073,549,194,512,384,254,670,199,745,287,419,816,799,448,193,515,
476,581,815,861,495,022,100,565,737,097,869,019,608,315,637,782,939,262,505,
493,793,201,384,229,711,576,840,237,938,814,959,693,453,821,957,796,703,991,
852,866,091,068,218,332,738,853,639,454,548,093,171,906,232,935,020,945,877,
861,300,272,974,646,005,781,238,502,747,592,909,564,283,946,883,047,298,150,
175,777,797,802,719,582,739,912,732,454,821,653,882,705,743,481,440,479,639,
064,498,964,440,887,400,739,621,944,520,392,481,924,072,142,332,435,995,230,
901,218,942,031,390,479,821,103,970,276,651,954,817,731,379,722,625,982,109,
177,807,465,324,401,738,094,206,625,080,944,202,780,525,565,152,410,004,991,
173,565,401,309,822,922,877,815,696,064,155,905,496,595,587,869,734,343,773,
442,272,521,792,279,540,055,880,524,861,550,952,119,915,356,743,914,582,692,
965,067,685,246,872,491,364,069,454,361,366,398,086,542,589,649,905,564,508,
312,526,363,509,550,655,958,461,105,434,810,649,966,078,401,575,647,811,460,
594,321,050,297,548,299,115,782,258,687,535,802,692,151,736,420,470,309,716,
883,727,178,560,312,080,484,936,582,641,525,437,856,074,958,390,150,498,292,
066,463,834,180,200,195,976,171,698,980,068,923,291,830,853,080,427,417,194,
871,313,056,304,511,961,144,112,013,438,507,673,302,780,824,187,035,844,090,
454,920,853,375,725,934,225,884,309,124,628,624,552,357,821,774,615,321,261,
615,915,368,398,566,130,591,475,105,712,173,009,797,086,215,368,156,405,979,
296,227,505,573,004,712,619,372,551,192,724,950,505,630,949,073,795,134,715,
909,184,841,309,495,545,727,112,044,650,248,393,996,378,087,832,089,938,132,
835,604,368,512,630,574,857,928,325,859,282,937,884,312,155,358,966,465,865,
108,021,586,104,803,762,172,717,572,064,626,023,129,074,528,924,758,859,565,
346,895,656,265,804,807,932,951,768,945,047,892,671,241,878,643,882,481,510,
485,909,898,782,956,798,554,947,943,973,312,160,457,289,702,649,063,097,838,
591,380,096,742,168,785,027,380,104,869,993,613,619,612,392,065,870,231,963,
194,835,603,017,359,883,630,772,457,657,948,344,203,320,193,796,420,545,571,
561,432,765,947,878,196,859,657,511,918,063,288,518,075,471,528,430,334,675,
530,135,542,252,476,174,075,649,396,226,941,123,201,048,202,934,761,722,025,
728,860,533,794,863,849,999,499,207,418,952,399,895,732,288,213,824,998,072,
435,172,201,018,247,127,700,429,497,599,282,190,127,831,612,904,436,009,010,
977,325,454,962,646,494,181,938,858,540,272,193,251,860,216,918,752,553,531,
243,013,168,544,825,058,348,712,265,960,310,717,385,121,611,524,832,061,424,
210,862,663,757,543,663,924,344,615,928,756,895,204,932,286,473,201,697,642,
281,874,370,220,711,267,361,894,700,367,120,559,637,647,256,198,977,465,473,
614,710,720,947,636,649,988,813,585,001,412,190,020,848,909,931,661,250,909,
513,220,845,555,458,429,443,522,233,189,992,900,207,870,075,372,950,133,381,
393,101,162,630,683,385,402,466,609,621,501,104,824,375,237,838,330,769,390,
038,536,945,650,436,336,648,766,366,654,550,598,990,048,289,768,088,711,196,
070,027,637,676,356,752,699,881,780,720,091,466,630,937,726,702,905,162,908,
690,717,837,842,721,151,407,896,093,835,257,293,260,203,190,739,409,954,153,
213,993,617,330,767,131,934,488,049,298,567,221,487,673,446,202,528,166,399,
889,475,197,640,003,230,725,097,263,936,133,259,451,532,404,027,535,327,478,
659,236,087,372,535,909,587,180,118,822,463,438,421,552,092,799,168,062,702,
818,186,312,716,198,620,577,804,929,137,725,365,557,063,143,243,231,601,633,
234,410,497,688,676,681,276,802,551,752,910,092,316,047,175,657,578,381,688,
843,048,444,123,446,445,612,430,693,832,957,558,553,549,351,277,403,224,130,
014,624,541,377,999,477,402,539,966,077,575,699,639,067,550,950,812,484,131,
883,985,257,669,337,956,108,690,689,966,964,224,915,364,717,772,861,375,905,
513,478,173,636,301,098,272,863,975,579,987,802,530,329,965,455,996,297,391,
488,104,559,668,892,208,802,139,187,909,235,682,355,751,899,837,056,907,323,
547,893,268,963,338,215,423,936,247,809,572,131,173,073,426,028,875,571,824,
044,894,144,889,770,192,643,931,109,329,919,237,287,501,800,958,298,016,622,
577,662,740,689,655,887,160,254,760,370,640,333,865,941,733,870,616,256,228,
575,756,325,612,930,704,985,350,133,042,944,296,034,719,234,936,269,357,377,
521,583,881,372,086,014,323,694,171,971,138,985,247,985,316,404,150,011,588,
020,094,324,007,799,980,617,864,511,790,986,898,653,170,703,001,905,155,673,
006,503,433,660,615,920,207,270,597,987,163,350,636,749,106,591,364,596,489,
159,753,031,974,868,658,192,581,308,077,583,425,833,512,740,723,497,874,821,
061,794,757,220,304,754,034,085,985,414,496,135,015,273,783,737,391,936,030,
116,771,521,388,097,801,096,883,883,899,207,457,941,225,632,320,353,462,044,
959,260,556,654,715,759,743,913,141,183,263,928,354,922,751,813,776,125,264,
609,719,610,010,687,657,634,752,921,976,123,378,906,309,812,928,206,050,221,
357,555,779,291,680,642,551,267,508,562,249,172,647,861,284,004,656,338,896,
927,085,323,033,641,192,836,557,299,008,202,948,902,779,305,472,577,012,355,
138,330,798,754,485,037,804,936,406,376,399,338,425,126,604,115,245,187,368,
953,751,782,913,589,249,065,287,101,508,956,184,899,991,584,290,952,801,379,
218,838,246,205,046,056,093,447,248,027,346,190,238,093,423,968,651,328,736,
787,508,182,834,472,142,040,423,841,745,083,033,432,928,272,337,624,709,789,
593,405,578,689,414,941,638,340,343,111,520,414,161,971,577,227,787,288,083,
417,273,041,241,984,922,219,180,642,391,858,860,838,177,327,778,418,664,900,
751,645,998,530,104,648,806,880,477,189,875,526,469,630,113,164,078,645,719,
953,411,104,929,313,342,624,302,183,035,906,236,614,161,259,190,745,133,040,
222,859,074,427,607,053,765,400,988,734,582,914,117,881,146,327,207,770,615,
917,126,691,497,341,402,047,276,708,312,096,649,236,490,062,289,074,036,071,
040,052,798,386,010,428,477,929,922,037,530,631,888,227,791,130,460,062,777,
396,566,984,147,298,109,335,759,882,125,363,515,161,107,524,985,036,147,159,
319,245,156,253,594,679,695,054,244,329,067,977,583,079,030,887,930,276,276,
227,022,340,982,539,192,729,772,123,915,554,807,069,183,333,135,472,145,807,
276,847,838,334,676,550,463,126,056,702,428,232,761,590,437,159,288,520,117,
269,812,123,855,085,390,680,331,037,239,099,288,244,295,717,681,768,166,378,
713,187,215,196,576,827,983,990,289,685,825,867,107,109,200,984,173,069,889,
250,774,925,780,188,864,311,239,449,804,199,095,186,698,726,885,334,373,780,
508,348,842,652,008,934,131,538,627,611,164,991,890,588,788,834,343,943,312,
249,466,489,594,263,290,449,241,553,111,223,218,703,966,132,214,224,904,661,
650,019,030,747,667,982,997,411,334,967,838,252,344,248,609,334,806,223,008,
757,718,206,958,619,162,565,982,373,865,146,736,737,907,145,643,142,483,097,
805,169,514,253,837,067,513,992,433,040,241,512,455,657,292,341,807,675,639,
532,625,691,959,118,163,151,507,184,947,054,294,943,869,358,310,854,282,761,
397,635,666,824,826,369,966,453,072,023,596,177,713,574,107,438,855,098,497,
738,422,227,440,585,968,449,774,099,032,468,356,618,448,738,550,835,690,155,
225,247,575,046,021,014,451,178,204,731,130,281,533,812,259,966,189,249,648,
059,571,585,344,019,721,534,911,249,782,742,188,318,345,350,352,086,700,764,
753,146,236,553,623,260,458,485,267,103,475,858,489,587,600,825,998,547,808,
732,794,615,832,721,371,479,387,092,786,807,404,066,444,525,257,995,069,686,
759,791,979,511,397,386,835,668,696,776,323,963,044,631,893,857,355,586,147,
408,485,877,637,693,487,987,013,502,764,826,958,441,760,163,165,977,890,369,
062,494,973,781,800,613,992,457,493,553,244,687,264,649,752,033,960,845,351,
193,564,106,762,991,759,004,325,311,651,420,470,285,636,046,412,265,870,322,
801,973,211,442,664,322,227,825,121,022,415,482,982,885,948,918,690,770,362,
518,696,277,716,957,318,496,988,014,944,529,732,571,246,652,253,054,731,900,
137,668,354,422,217,863,584,538,848,946,643,220,133,447,696,329,857,858,570,
231,879,872,153,002,500,391,647,341,477,894,969,867,426,503,559,371,818,975,
474,630,579,284,632,487,652,443,442,669,681,028,044,542,683,658,423,291,753,
491,452,405,601,662,757,197,456,616,889,648,853,842,020,193,385,039,007,373,
325,080,977,247,653,280,657,247,610,769,825,461,428,854,195,896,413,433,839,
788,996,562,913,999,236,093,835,211,352,981,449,446,830,785,132,448,394,022,
450,176,534,209,679,551,064,610,387,054,040,889,235,145,047,144,542,745,960,
033,566,459,778,872,189,386,297,318,185,099,938,840,061,917,235,053,861,376,
124,246,890,401,343,565,832,956,903,589,907,234,157,008,878,395,827,802,652,
280,809,347,068,083,472,493,535,925,353,748,194,391,167,530,528,755,130,012,
067,557,321,266,609,256,145,480,852,990,868,018,737,432,657,935,069,354,683,
153,277,046,720,511,110,516,615,454,999,629,845,628,404,821,153,349,954,596,
697,979,673,556,319,028,554,995,803,245,264,863,125,745,441,060,031,196,794,
611,471,525,549,744,902,187,423,888,347,703,696,964,420,482,820,185,189,216,
606,708,153,646,774,956,470,335,574,653,191,591,647,701,367,788,102,770,518,
894,007,217,631,449,100,009,215,569,330,463,810,816,973,087,425,108,500,068,
678,577,645,972,596,562,566,274,032,891,675,589,670,611,502,260,830,986,322,
347,706,246,284,001,159,484,920,573,618,241,615,242,014,082,812,093,699,905,
300,876,851,391,143,644,984,212,320,629,478,697,448,084,147,699,136,500,424,
146,959,650,608,592,692,191,719,646,625,686,540,606,762,784,938,347,040,170,
276,748,575,400,093,409,494,360,147,261,512,889,791,724,639,532,680,028,526,
784,286,784,169,113,133,335,172,181,352,742,159,007,370,218,561,772,888,571,
142,207,296,271,102,472,673,455,455,698,146,331,156,040,933,224,992,308,199,
414,737,979,277,525,833,521,330,721,430,742,655,278,427,631,489,125,700,903,
658,095,692,508,853,151,909,792,902,504,751,828,363,640,196,644,422,858,818,
752,494,318,552,221,422,801,534,560,022,530,177,931,722,866,016,614,042,274,
213,187,807,604,063,839,720,822,780,653,393,151,712,264,410,126,654,330,715,
715,019,437,704,414,663,403,424,606,612,866,554,724,081,113,693,303,177,203,
120,225,684,549,369,564,485,456,091,667,740,609,784,744,256,532,178,106,827,
659,375,934,160,035,199,866,951,039,987,334,009,984,295,665,820,979,347,331,
167,884,658,259,550,997,811,584,495,521,943,583,548,087,703,151,760,933,575,
498,025,324,934,368,895,562,402,689,794,039,263,880,730,088,225,828,824,773,
949,358,973,866,356,316,864,630,138,031,530,228,643,096,131,654,875,586,348,
498,156,085,800,479,917,407,284,878,383,943,511,225,366,737,944,160,759,200,
762,217,330,013,459,608,122,926,239,791,511,298,275,368,142,923,991,108,255,
387,579,271,755,056,151,335,084,085,413,541,829,630,971,802,697,905,389,248,
645,592,811,438,833,472,333,105,556,427,785,091,057,066,985,632,300,590,979,
563,233,309,950,578,444,373,704,024,824,946,359,781,962,986,765,046,558,526,
382,086,108,275,561,672,378,573,916,708,047,212,685,295,854,033,316,209,652,
607,300,455,321,726,061,076,219,386,221,081,039,582,426,500,064,646,181,347,
441,525,483,393,221,238,005,771,300,570,595,425,082,007,089,731,448,432,842,
417,288,821,465,352,280,585,572,246,497,211,209,637,255,711,391,776,522,151,
138,585,948,351,346,175,742,459,140,904,761,230,805,592,232,667,457,405,307,
667,320,228,877,152,898,978,786,964,716,554,785,715,390,865,811,177,790,339,
223,083,701,388,961,681,704,371,297,848,010,447,379,521,892,854,691,923,087,
284,843,456,932,094,093,717,193,044,937,849,515,800,593,329,889,875,441,380,
177,792,024,687,089,749,419,462,447,214,978,674,144,036,119,511,542,195,100,
548,412,898,194,740,265,288,625,793,808,667,119,295,740,382,919,152,635,645,
618,429,971,375,572,662,592,245,418,255,117,846,804,247,710,671,293,432,145,
609,910,834,885,815,707,989,197,813,247,251,210,787,533,252,410,305,025,824,
329,543,754,669,848,538,726,427,260,710,694,324,478,360,965,990,858,347,387,
961,952,963,481,136,041,413,467,043,643,588,418,313,381,071,833,609,515,759,
147,319,138,164,966,671,856,176,899,988,240,713,935,267,510,590,472,438,937,
541,637,357,777,435,956,544,453,081,258,503,869,748,685,210,455,379,674,164,
780,909,073,081,491,105,836,992,400,806,145,656,273,539,113,004,646,363,508,
514,024,296,138,861,621,625,532,557,683,128,930,264,833,486,419,693,046,646,
063,472,836,805,727,481,280,309,458,046,587,803,383,703,028,232,797,052,134,
431,474,514,300,516,366,290,935,358,428,486,618,904,845,051,612,657,363,330,
400,676,036,382,197,517,982,060,820,845,827,741,732,831,332,399,097,520,752,
775,476,867,161,921,683,570,471,974,298,529,925,596,397,786,584,987,441,595,
492,800,953,430,771,193,284,966,131,534,943,099,895,013,225,463,450,339,936,
066,377,405,849,660,462,403,937,486,060,406,401,241,738,956,348,228,676,349,
434,873,186,175,817,226,123,780,364,606,324,505,065,320,945,155,968,926,114,
923,304,183,786,047,358,326,398,097,071,485,015,750,353,215,834,213,223,209,
745,894,829,664,713,519,263,398,727,084,653,785,633,205,459,653,267,941,912,
578,130,379,556,091,431,937,630,433,243,304,543,784,824,361,979,191,647,576,
840,256,612,593,766,413,045,123,890,272,387,267,350,662,210,765,602,637,952,
145,982,542,246,066,357,249,327,540,070,401,935,736,381,877,363,483,718,392,
501,701,516,603,430,391,986,613,704,100,710,421,771,350,733,492,501,513,693,
769,884,683,962,958,734,751,020,837,571,517,198,338,908,943,514,188,552,541,
242,347,431,825,678,439,280,734,681,548,726,616,247,962,647,238,243,271,884,
464,742,468,436,264,103,557,544,544,138,489,063,384,464,841,056,992,178,816,
734,175,322,577,904,435,016,185,639,911,904,338,217,541,561,731,999,646,914,
075,031,425,254,583,500,241,215,956,031,606,051,036,724,651,248,177,527,781,
969,140,912,206,526,598,751,557,816,368,708,957,789,986,338,548,554,737,985,
865,308,810,781,242,930,238,870,259,468,466,790,879,596,433,299,067,869,262,
974,378,233,686,524,431,818,906,729,750,363,282,868,192,461,606,584,059,249,
970,081,645,689,572,921,876,470,010,625,151,382,358,145,258,205,275,232,978,
467,968,477,684,657,080,457,136,450,621,388,563,775,626,227,522,420,421,261,
466,902,127,307,690,370,518,470,425,976,279,759,057,859,792,651,321,405,564,
753,749,662,869,142,943,967,349,793,253,910,320,249,470,560,646,885,490,443,
410,036,188,543,253,048,145,035,038,629,549,016,396,423,595,076,581,584,590,
838,751,554,418,866,919,731,771,395,672,517,373,645,013,531,625,964,727,833,
126,883,267,060,026,999,228,884,606,104,858,452,653,163,644,549,161,322,432,
046,248,451,303,306,426,855,348,193,115,580,907,714,687,436,621,913,144,641,
262,421,067,300,283,707,660,418,394,318,703,810,865,325,333,417,136,024,465,
090,610,292,769,240,171,255,307,451,754,682,875,722,721,329,416,647,008,362,
584,208,100,861,609,380,791,581,609,219,958,821,927,399,500,375,849,971,743,
305,027,949,048,870,273,102,371,039,501,921,777,094,162,813,562,436,354,766,
442,841,761,701,849,073,480,258,274,158,477,402,709,178,175,084,388,500,646,
088,255,204,886,419,263,481,789,428,629,013,990,801,241,833,871,510,230,764,
005,835,574,951,904,422,621,088,179,930,453,743,656,944,949,966,979,324,486,
596,348,951,115,607,997,963,812,723,411,935,838,214,689,343,125,168,352,625,
013,949,952,373,999,124,252,424,933,791,182,190,458,376,256,525,017,435,023,
251,700,618,783,681,748,747,620,005,804,647,543,796,761,637,386,262,212,152,
730,639,747,063,422,789,564,934,311,366,254,471,544,066,271,371,669,278,006,
466,066,716,366,169,000,925,011,044,184,999,013,144,077,825,302,605,502,783,
879,211,463,934,964,389,365,746,585,683,774,082,195,055,283,895,495,279,050,
960,991,890,047,023,395,789,846,110,677,431,384,098,885,222,875,979,195,759,
892,016,391,942,609,597,039,032,009,023,784,911,786,350,915,612,360,248,029,
587,210,321,140,469,032,502,213,795,526,916,012,861,267,511,926,232,286,623,
161,949,136,152,885,331,760,621,620,558,282,395,572,357,445,305,678,503,110,
405,162,428,428,767,639,161,246,374,003,725,928,203,314,451,705,942,725,088,
525,019,127,120,520,834,530,027,410,971,510,073,154,257,448,319,684,060,793,
533,867,725,696,700,237,615,633,005,475,192,227,370,968,353,719,169,280,095,
189,981,445,613,801,857,556,756,626,109,477,490,908,098,693,255,486,399,581,
949,851,052,781,642,684,923,671,349,216,910,367,415,939,004,144,979,074,738,
507,531,980,412,120,575,269,665,458,090,707,491,243,970,336,812,717,920,369,
126,650,539,220,135,211,610,730,623,948,913,200,456,407,415,948,649,150,689,
343,159,439,682,536,637,850,798,066,521,650,017,213,252,475,863,140,138,319,
714,760,666,056,059,470,238,650,579,861,290,845,171,641,403,840,148,843,919,
185,979,732,449,527,088,679,970,152,461,365,201,655,360,041,329,121,882,463,
102,416,605,689,947,977,459,552,379,459,917,175,420,567,385,680,861,404,962,
866,300,283,166,562,182,336,298,133,895,542,300,379,320,765,120,387,885,786,
651,223,286,542,687,111,104,009,573,635,691,549,305,774,284,033,293,310,403,
100,987,605,026,791,490,678,715,852,714,301,299,915,096,448,855,255,820,706,
422,708,478,541,089,490,611,077,692,029,015,901,361,473,203,764,615,274,659,
450,564,343,926,688,235,277,554,850,592,974,133,323,416,326,486,043,417,272,
815,095,421,480,482,792,495,731,153,654,512,179,904,869,798,868,719,842,013,
318,831,380,948,323,111,175,587,273,417,733,681,163,709,816,824,285,258,908,
326,707,159,847,345,683,231,169,069,534,828,178,004,905,011,524,091,470,283,
179,067,628,561,228,308,177,907,835,008,349,380,549,841,163,867,290,960,441,
177,507,341,305,802,987,392,389,125,272,859,682,002,104,581,886,648,825,500,
077,127,588,769,004,098,312,568,701,068,412,168,358,973,618,304,626,856,433,
856,465,775,724,045,262,242,871,989,796,439,706,056,595,183,162,870,364,144,
648,067,659,253,367,947,452,659,547,678,145,245,143,416,334,934,482,313,809,
183,270,477,245,630,913,767,573,936,088,412,171,093,304,608,003,976,352,785,
084,014,663,806,892,602,160,669,154,144,495,890,792,082,711,909,933,065,295,
943,776,843,786,975,053,800,680,418,597,863,257,758,044,436,246,499,040,639,
583,683,525,101,170,211,288,130,471,989,505,628,198,483,260,836,800,476,508,
825,284,489,293,596,735,795,533,266,405,150,388,383,133,117,437,864,184,711,
680,972,571,871,315,942,097,237,392,529,540,389,442,269,751,032,640,841,024,
184,146,342,233,811,792,074,789,277,466,463,123,154,913,680,720,141,439,733,
900,033,591,999,197,511,654,045,267,470,424,156,207,027,139,190,506,132,416,
911,479,050,954,972,400,918,733,830,212,231,697,730,220,963,480,791,386,580,
538,862,502,730,474,445,046,445,302,984,058,435,205,528,852,904,623,495,704,
965,758,300,214,233,989,918,658,243,044,129,348,066,674,255,393,109,274,495,
812,349,222,774,548,903,641,062,861,202,390,365,262,893,056,841,847,289,654,
130,124,967,140,131,772,971,610,102,925,190,491,519,341,763,523,639,240,645,
932,215,402,082,321,981,176,822,931,358,814,059,576,357,261,936,488,526,426,
701,184,104,181,710,540,971,671,817,470,333,119,715,099,333,046,012,728,512,
242,458,733,243,096,043,572,957,210,142,778,280,498,735,179,616,334,561,202,
055,223,050,247,033,148,137,032,594,716,306,746,798,497,280,545,686,964,310,
449,238,145,470,735,061,455,635,591,610,359,265,864,397,986,097,681,463,603,
573,119,083,480,816,072,666,163,668,558,809,404,515,244,555,694,549,554,514,
325,721,195,742,965,935,726,347,610,423,283,239,868,181,094,547,300,072,954,
221,683,955,681,457,724,359,153,552,755,755,999,600,248,125,499,576,821,113,
395,452,400,836,268,179,377,268,234,876,126,520,526,327,419,619,506,252,232,
309,840,986,029,720,466,778,391,896,037,457,077,973,156,023,907,158,930,605,
443,612,577,522,182,305,554,078,572,322,657,423,194,127,530,009,161,680,785,
538,681,019,997,123,388,564,555,470,140,630,873,086,980,727,317,987,675,891,
641,150,270,293,881,516,294,951,587,166,846,025,022,283,815,896,168,711,201,
871,536,285,450,125,008,321,127,919,609,238,512,561,555,121,913,116,144,353,
675,571,997,245,143,779,347,916,032,061,909,363,025,383,334,757,588,571,927,
560,625,577,159,128,874,864,420,114,947,813,887,343,863,349,792,848,962,693,
962,071,486,190,909,595,580,056,553,139,908,008,593,079,556,119,673,970,151,
295,924,600,383,692,912,446,457,658,367,988,187,122,471,601,276,063,374,186,
476,463,588,906,930,682,409,608,453,413,880,235,810,111,037,472,380,837,562,
594,892,012,408,684,074,627,954,226,647,902,255,592,238,650,559,012,232,296,
515,442,941,894,256,926,952,441,750,086,243,192,309,252,439,429,036,803,918,
695,848,837,608,869,100,546,490,744,328,677,783,669,290,379,845,475,577,862,
684,033,267,429,469,912,626,540,864,021,797,131,074,035,569,096,335,159,306,
891,881,563,579,515,408,197,407,938,142,145,414,147,432,796,642,215,999,638,
687,513,694,834,996,311,882,751,407,561,501,910,403,373,997,093,035,621,445,
847,633,286,075,772,696,381,717,219,524,348,732,885,360,922,359,783,054,787,
973,213,235,282,378,079,907,971,982,686,583,246,833,735,687,207,595,114,687,
220,171,184,631,254,893,995,501,133,074,302,324,094,243,241,701,070,888,774,
473,332,127,933,429,220,683,508,979,886,953,918,125,585,292,028,132,456,934,
128,783,592,976,238,192,430,850,659,132,211,498,280,680,389,756,943,214,276,
002,093,803,778,345,050,511,084,030,271,903,105,502,976,394,999,394,726,278,
839,736,522,862,142,827,157,861,037,939,603,416,169,947,987,573,953,075,921,
588,847,851,514,930,060,049,340,531,780,426,347,751,386,249,876,174,185,931,
732,353,861,498,793,122,639,579,291,060,547,822,643,966,208,276,538,281,440,
191,505,036,235,275,026,869,330,508,735,055,441,219,690,719,399,868,348,187,
759,076,011,984,328,298,513,862,077,689,286,146,973,545,055,353,650,983,744,
532,572,519,804,096,783,711,479,061,617,690,381,100,073,028,548,299,700,803,
246,576,491,410,733,854,715,036,835,596,992,987,336,868,215,308,740,019,147,
033,807,527,290,166,996,777,592,720,801,419,964,094,709,668,657,902,815,626,
683,458,646,273,506,400,095,992,959,246,802,402,866,418,238,422,487,661,341,
104,955,532,914,601,026,901,725,507,692,023,903,462,180,396,622,934,093,299,
503,210,157,991,301,959,668,594,070,961,450,703,364,297,792,186,316,912,656,
398,092,307,696,960,554,650,620,678,753,694,582,361,225,724,522,786,890,012,
621,600,039,032,589,852,358,448,469,220,252,867,261,930,719,330,856,033,934,
391,089,154,516,192,537,215,375,996,456,320,611,862,109,385,146,381,263,037,
398,738,074,861,998,959,031,424,962,646,948,853,383,531,350,406,267,336,195,
046,592,830,933,800,717,921,924,955,119,583,399,876,339,512,433,543,515,553,
385,988,691,682,746,515,276,172,300,588,567,381,762,018,606,152,863,207,487,
507,249,969,467,255,520,656,074,473,907,379,766,446,404,394,310,541,696,452,
941,932,678,067,214,791,468,875,843,730,941,218,359,578,403,828,313,944,106,
158,801,414,915,540,900,876,415,255,365,805,427,920,738,984,288,210,982,034,
056,780,256,444,941,428,604,567,426,651,009,594,474,295,619,784,284,449,290,
550,127,279,354,451,514,692,169,595,900,141,657,528,084,468,397,424,950,986,
270,905,449,914,299,756,099,133,462,266,866,234,208,753,434,937,597,965,558,
130,979,534,311,654,993,948,375,237,755,898,880,588,973,347,417,761,664,423,
105,862,985,602,617,703,586,411,942,651,471,777,111,895,528,704,604,795,452,
308,407,215,851,660,759,405,601,276,757,499,324,319,869,155,619,625,037,616,
873,641,096,658,785,416,487,554,017,944,163,716,375,887,322,526,498,364,679,
590,716,328,540,418,640,052,709,156,095,197,693,403,105,111,957,245,025,041,
004,281,800,162,760,834,958,290,942,506,339,170,577,281,846,540,538,263,106,
428,366,673,624,429,235,788,210,300,941,739,524,857,204,133,393,895,913,247,
392,329,006,392,663,507,409,339,646,695,073,589,898,914,041,042,494,666,804,
049,238,327,135,307,204,814,621,432,574,374,311,151,264,639,593,030,159,114,
299,445,921,986,612,681,294,342,163,633,322,927,668,047,098,005,436,894,521,
982,540,764,553,570,240,342,388,562,606,778,623,572,789,596,484,901,625,932,
530,479,413,316,503,195,349,454,356,843,593,077,228,911,640,439,271,593,550,
971,999,555,206,945,631,154,354,440,145,308,256,519,158,232,550,254,355,710,
730,368,617,727,670,956,653,164,445,538,647,063,360,198,918,339,197,005,818,
197,305,667,187,274,819,827,765,441,416,874,988,339,248,001,492,814,853,583,
124,010,015,327,762,951,483,162,418,239,783,811,069,164,952,415,946,903,415,
426,059,676,685,963,803,036,612,024,278,230,999,919,343,780,131,716,312,733,
175,216,896,355,329,290,292,955,773,531,645,379,341,598,596,785,150,218,996,
906,399,161,163,252,307,562,108,475,924,000,270,933,402,555,299,950,165,585,
051,567,985,755,612,598,381,997,266,431,421,850,358,635,740,709,076,188,244,
320,498,951,221,455,384,512,465,645,771,087,067,711,886,670,009,378,586,974,
473,223,070,631,590,792,329,228,744,473,720,200,936,723,374,098,543,119,701,
519,252,268,701,988,643,747,291,338,040,965,083,054,151,088,588,699,351,635,
055,856,194,838,918,108,156,985,181,333,217,904,883,977,261,317,678,093,762,
595,010,783,699,448,766,777,621,902,975,464,789,655,067,970,004,532,552,032,
336,938,387,776,664,927,558,961,053,225,656,742,703,815,886,503,742,275,607,
429,694,400,776,067,858,486,663,703,924,492,051,209,974,289,621,259,918,694,
455,282,009,830,591,028,074,463,287,723,783,465,135,543,511,908,446,386,137,
180,238,773,273,580,004,754,045,980,532,438,441,841,093,596,911,617,531,928,
941,048,870,981,299,277,522,604,689,848,918,542,755,054,335,076,530,286,177,
972,019,683,056,538,089,042,012,098,880,078,815,299,802,601,146,749,588,419,
304,693,016,947,347,997,769,368,810,782,435,069,723,320,764,935,185,183,328,
134,660,563,236,565,200,524,815,032,411,651,279,707,179,906,482,932,028,591,
966,663,870,614,848,182,654,523,578,884,865,097,449,722,323,485,902,274,473,
199,434,001,292,671,486,659,787,804,299,829,360,608,098,579,465,031,653,187,
808,699,478,933,436,040,241,105,920,230,954,628,765,137,238,554,862,855,487,
045,533,867,987,391,767,317,377,712,585,460,459,649,028,153,959,308,798,377,
748,041,611,880,519,355,131,706,857,680,195,906,873,683,460,084,063,352,226,
565,657,060,342,873,432,426,655,720,104,900,040,097,661,283,259,375,625,082,
518,159,975,488,372,978,921,791,716,186,316,946,521,287,614,428,676,369,085,
694,240,965,932,066,691,894,518,897,480,861,071,992,503,765,392,789,646,459,
579,293,792,270,823,696,367,208,758,647,577,971,912,278,078,969,220,441,105,
627,118,816,779,367,511,416,898,222,919,225,627,263,596,384,077,118,799,394,
385,602,688,672,129,517,602,450,650,243,899,548,169,004,947,103,223,747,121,
083,199,992,967,554,281,036,145,383,416,959,160,898,723,939,228,871,759,001,
277,559,807,097,354,055,429,836,613,363,501,342,898,783,320,868,215,707,136,
058,207,627,057,334,438,702,995,909,035,223,949,883,387,345,307,906,733,951,
117,798,236,356,322,249,375,501,641,950,538,001,792,090,104,575,601,359,834,
610,523,162,115,155,896,607,839,481,082,399,869,698,059,254,934,653,461,295,
168,074,028,588,766,055,985,671,496,282,008,512,017,147,062,570,631,497,818,
095,181,781,891,980,803,202,271,990,540,742,400,906,950,173,480,253,158,272,
781,059,817,341,283,387,100,898,184,161,470,547,671,215,597,374,732,572,794,
271,851,133,357,449,347,863,379,704,703,314,552,422,573,278,708,232,105,129,
970,214,753,028,568,635,557,133,666,418,140,418,889,324,148,485,307,465,006,
161,636,683,644,343,316,717,226,012,231,244,764,090,754,574,788,252,430,288,
304,713,950,253,551,055,753,908,455,730,790,554,457,199,137,585,676,121,033,
217,388,536,492,370,970,455,022,134,970,105,162,063,651,134,662,666,699,816,
782,507,181,609,939,640,132,293,618,803,887,355,349,038,717,554,516,615,238,
661,413,754,025,999,385,240,550,397,141,957,685,319,141,093,024,643,134,657,
407,878,799,939,780,835,942,115,897,381,543,637,700,966,247,591,842,969,740,
517,055,065,494,974,229,572,508,036,974,479,308,431,765,407,139,037,734,064,
135,072,332,229,593,091,659,212,729,701,114,132,961,094,144,836,737,186,756,
377,354,943,718,255,919,871,663,066,643,080,651,918,675,447,011,819,990,966,
201,492,279,004,311,649,285,902,600,921,958,513,405,954,744,544,677,688,324,
898,125,365,898,928,732,367,554,479,164,014,233,484,910,160,429,495,986,653,
144,206,666,020,166,387,224,707,203,989,870,539,229,126,586,507,085,993,767,
108,403,803,194,830,204,681,888,112,293,431,620,021,935,060,639,104,651,237,
694,882,878,333,875,580,877,758,852,111,996,888,644,857,274,976,949,052,266,
741,890,826,249,132,097,971,960,083,320,060,506,829,271,828,940,549,554,149,
505,833,439,003,451,403,930,441,750,961,319,418,729,182,799,985,080,626,796,
464,720,499,058,762,800,782,669,628,932,206,340,633,506,437,005,066,363,092,
338,388,022,599,397,763,721,173,572,167,489,283,860,770,146,164,544,574,184,
344,283,510,217,405,292,856,573,708,277,680,623,387,257,745,152,266,184,180,
908,027,693,908,358,807,480,122,751,585,116,453,885,251,968,486,536,995,188,
679,238,879,445,383,255,824,967,095,944,197,526,710,272,015,473,645,691,504,
619,428,915,117,767,982,825,729,342,812,009,461,010,027,947,840,450,407,767,
070,673,836,432,333,141,442,475,978,318,311,717,592,458,157,484,112,140,827,
891,835,802,032,193,586,805,927,249,522,859,485,499,022,382,537,594,348,671,
009,247,904,671,274,227,717,388,065,920,821,500,350,835,675,699,986,256,477,
911,956,243,353,312,861,804,749,362,333,710,412,733,282,167,255,384,235,272,
280,213,067,087,844,571,003,146,333,818,385,842,652,079,535,788,791,375,700,
204,185,904,319,051,122,471,038,720,442,679,058,909,462,690,221,523,921,301,
788,346,293,098,656,563,793,982,207,948,632,467,057,357,363,272,288,714,141,
785,743,708,965,812,935,369,991,425,509,439,646,177,166,594,535,701,579,165,
698,049,819,636,554,075,415,911,476,664,664,406,593,067,893,588,675,843,432,
289,729,306,454,261,745,411,875,901,466,668,343,949,114,940,107,279,581,824,
442,154,752,051,583,585,774,969,440,147,432,222,851,671,799,095,887,896,252,
989,875,537,391,902,489,285,926,474,496,215,819,603,608,554,309,987,299,591,
739,409,404,499,323,128,344,930,903,001,239,966,252,819,330,244,854,192,020,
666,937,042,712,359,254,383,989,224,609,482,644,801,908,495,677,251,244,656,
200,587,783,926,800,491,644,378,865,125,587,774,102,285,525,199,814,925,691,
459,995,055,901,253,248,450,111,673,731,119,289,444,464,062,141,953,783,296,
162,720,082,447,796,005,790,876,109,260,268,508,731,886,819,879,804,142,763,
954,386,736,921,112,203,140,984,328,007,479,528,940,225,406,076,999,459,823,
892,338,357,796,674,471,532,275,171,300,454,738,996,860,076,779,717,377,086,
619,127,320,889,690,021,876,561,187,426,013,994,910,652,206,348,430,038,198,
098,118,883,184,378,899,617,118,674,893,967,037,364,884,731,068,499,759,211,
177,553,730,375,326,458,598,447,475,117,694,597,087,277,060,218,071,245,469,
405,554,778,794,074,750,012,990,116,411,334,365,469,185,558,758,648,396,875,
293,326,219,278,340,229,320,775,321,619,732,835,163,000,380,122,277,819,845,
737,925,096,547,748,668,991,332,857,184,593,349,417,761,898,682,737,684,341,
080,921,624,882,760,499,288,212,496,593,324,940,926,064,679,372,541,303,624,
981,750,626,443,110,967,654,696,977,976,920,833,461,159,343,318,762,327,716,
510,859,823,176,131,773,521,755,301,707,857,585,106,714,237,678,429,941,920,
316,187,236,815,798,666,311,719,805,634,636,613,765,668,240,205,142,062,224,
003,912,753,270,597,045,044,607,096,041,911,150,960,238,748,282,825,552,858,
647,771,747,955,954,066,394,150,245,870,246,548,238,824,527,878,492,977,115,
548,725,692,855,012,109,860,736,155,519,425,686,009,148,865,693,571,090,046,
828,126,779,817,355,032,726,250,760,520,802,121,863,259,511,431,361,285,578,
975,332,223,732,138,007,257,323,776,321,913,660,614,008,739,796,799,242,507,
732,204,471,977,278,480,356,177,553,787,624,520,432,015,140,515,007,805,624,
907,315,553,851,653,679,667,325,543,321,163,990,529,905,634,947,511,624,409,
017,158,887,348,624,678,059,290,510,992,183,039,058,140,788,210,189,292,794,
217,046,189,706,115,593,154,524,661,102,699,102,326,960,408,157,696,198,125,
006,883,874,801,558,577,821,134,923,862,379,629,408,878,151,806,326,916,250,
674,599,787,839,096,530,992,109,690,338,092,050,679,791,895,652,706,986,678,
681,798,102,343,236,173,464,330,070,303,724,368,837,440,177,395,293,673,898,
018,095,147,327,144,223,753,984,118,354,838,924,080,982,909,114,775,672,622,
241,300,127,644,250,905,299,660,375,190,076,458,476,031,329,798,261,952,194,
856,489,932,900,660,407,465,558,312,089,157,556,241,042,261,642,054,324,286,
004,699,918,979,334,751,798,552,709,761,540,987,757,592,252,846,806,158,935,
485,597,730,312,092,511,870,521,508,738,437,778,965,326,473,243,689,534,571,
158,535,045,227,245,848,370,469,142,449,192,335,211,020,957,242,469,725,131,
291,159,203,017,026,275,211,444,683,079,590,494,447,638,368,756,618,346,727,
814,581,408,549,328,577,603,462,933,946,978,805,661,504,843,029,610,047,116,
859,652,143,196,320,132,734,271,387,462,793,469,495,989,641,331,232,321,778,
626,249,845,371,971,481,354,161,448,001,721,640,185,287,029,495,691,221,163,
331,173,336,449,318,157,061,131,522,807,778,843,320,166,621,863,510,744,403,
448,179,511,262,717,399,275,208,296,895,530,664,610,543,484,609,384,632,734,
552,495,668,893,450,668,931,222,034,157,221,372,179,851,707,500,325,028,829,
573,047,508,662,402,976,434,892,872,639,498,997,614,604,181,950,097,759,253,
936,886,509,930,037,634,946,506,958,817,957,787,076,379,558,365,999,103,651,
930,105,932,359,023,067,385,238,628,001,738,796,707,710,065,206,561,999,146,
354,404,096,171,041,818,199,873,106,842,612,238,856,463,134,624,597,035,850,
623,425,977,968,241,695,995,411,482,960,143,268,389,698,107,924,302,764,390,
153,356,345,730,065,784,420,509,256,769,759,492,155,520,026,232,556,870,294,
544,900,906,219,515,369,013,880,657,789,190,884,891,887,594,545,157,257,971,
779,949,128,683,623,409,428,162,640,751,049,758,548,440,188,279,837,543,767,
602,213,348,589,926,237,571,284,778,731,253,031,730,068,570,712,997,237,382,
061,004,990,036,815,555,690,002,991,411,674,022,358,127,073,818,219,052,693,
181,392,087,551,054,306,418,330,763,303,293,895,075,513,401,142,971,322,190,
398,999,993,367,417,472,005,113,495,477,829,225,533,171,238,123,712,489,231,
228,131,271,696,220,070,315,076,218,202,507,172,830,476,502,004,282,522,848,
542,965,722,634,537,370,938,257,944,155,657,835,933,969,889,667,519,852,745,
819,123,593,819,932,392,783,942,382,645,908,338,420,125,595,312,261,620,885,
323,073,127,259,354,523,426,966,586,995,048,412,682,291,748,416,584,263,804,
097,513,057,142,725,882,172,111,307,311,326,599,579,726,102,154,334,927,490,
350,182,962,793,272,000,933,735,489,201,043,350,133,976,970,174,272,702,568,
970,249,076,789,281,113,863,933,459,075,550,752,894,706,023,051,978,055,402,
959,133,674,690,610,430,517,855,356,517,479,960,193,609,998,500,632,730,880,
971,021,328,071,993,088,765,274,475,732,704,790,733,743,791,376,725,211,134,
629,677,358,678,621,132,952,729,405,160,193,574,368,415,281,311,004,534,151,
786,562,594,649,759,429,153,243,437,271,581,885,589,243,949,828,889,784,529,
519,858,228,660,597,419,714,234,830,047,375,575,381,719,829,800,650,079,462,
102,267,756,182,229,307,632,712,641,735,687,142,812,612,090,702,616,298,247,
591,984,277,925,326,183,793,708,046,880,258,069,389,551,699,183,251,485,420,
199,289,618,007,401,551,083,993,054,949,257,779,930,386,959,670,351,351,445,
071,818,212,144,529,362,783,892,640,547,971,554,812,064,471,668,221,545,614,
232,737,310,435,572,441,609,580,850,437,766,953,398,379,324,052,455,608,792,
597,641,398,946,514,964,459,561,124,171,642,636,526,896,682,196,585,125,336,
323,814,909,326,051,514,179,617,928,981,147,785,038,949,319,346,665,262,844,
003,353,550,442,425,821,303,435,663,563,509,435,479,688,409,183,788,186,137,
537,876,382,675,845,799,912,092,384,134,275,554,908,446,203,667,928,262,890,
747,897,160,612,210,759,247,421,200,132,140,961,222,180,798,870,030,153,997,
241,844,146,949,854,755,898,188,584,025,552,179,805,826,590,412,438,669,020,
249,763,089,016,344,450,524,387,352,601,989,735,814,664,200,989,248,513,612,
075,070,497,391,930,798,021,841,102,472,598,785,098,625,064,013,107,084,235,
717,637,371,588,633,353,160,014,846,890,950,730,865,953,550,307,809,097,587,
602,310,669,693,139,837,601,778,036,763,973,448,288,906,110,771,479,521,630,
805,072,941,046,878,732,770,016,237,497,505,232,464,695,109,037,210,137,732,
773,262,785,020,743,804,473,124,973,663,860,827,716,585,573,489,609,650,924,
251,878,162,436,973,469,259,993,836,283,175,453,245,023,257,263,082,735,037,
166,783,578,558,860,782,819,457,180,490,582,937,695,497,000,346,367,227,419,
882,881,966,356,610,053,002,051,610,453,999,466,957,061,327,408,520,582,078,
760,998,515,736,488,626,183,791,829,075,440,433,717,279,894,147,967,939,880,
341,780,150,671,145,017,176,501,424,154,670,646,255,025,153,707,836,572,409,
601,070,122,518,912,574,425,507,930,340,449,121,021,145,019,337,552,267,401,
993,912,000,876,889,826,403,500,000,498,666,905,802,819,549,697,995,633,638,
779,258,927,401,754,192,300,053,116,835,453,357,734,263,847,910,570,776,199,
888,201,036,121,714,179,998,996,647,927,343,201,408,622,905,716,330,078,076,
144,688,844,171,290,179,958,172,675,162,502,139,855,549,462,768,313,552,778,
475,560,517,410,278,482,809,853,389,993,761,627,085,249,751,911,151,374,643,
276,605,275,766,461,924,189,302,377,258,497,553,219,938,979,506,782,786,951,
362,151,572,057,994,256,262,951,494,208,272,845,257,885,082,242,308,800,149,
407,884,231,791,088,028,948,739,498,359,264,436,068,838,978,670,330,342,664,
347,643,622,988,103,335,233,580,923,959,036,020,493,495,634,486,752,488,843,
546,507,705,282,185,754,638,998,850,682,512,409,033,853,355,837,822,014,305,
329,434,052,701,354,994,868,777,208,594,311,432,742,096,468,959,179,970,845,
575,270,371,206,925,954,609,714,738,333,245,249,396,185,804,823,079,772,340,
526,241,294,232,731,525,551,581,287,228,626,878,465,622,520,779,751,461,887,
527,449,825,932,031,927,970,877,796,021,630,876,180,326,651,660,130,898,367,
190,123,241,198,448,027,234,456,378,338,023,763,717,781,878,121,759,888,419,
300,560,250,641,004,613,061,456,442,005,163,357,924,962,530,847,780,025,905,
183,175,603,480,030,886,866,599,559,188,919,205,629,571,621,100,174,427,718,
415,455,352,690,766,913,861,607,431,569,488,046,983,245,673,390,219,598,285,
340,153,068,657,107,219,620,561,685,875,026,838,276,242,506,972,319,917,362,
843,909,734,765,965,747,720,680,981,454,032,389,832,738,243,885,730,250,553,
617,141,662,914,108,489,352,273,550,285,877,649,604,402,050,088,177,356,698,
085,130,708,409,917,120,828,830,219,294,596,383,604,251,814,942,270,276,497,
273,511,292,234,874,406,051,814,400,043,543,438,438,574,377,883,095,892,927,
669,556,356,684,609,646,749,942,950,103,763,419,377,736,946,979,866,945,781,
834,625,276,603,127,291,385,472,155,740,137,409,721,149,991,001,487,466,082,
750,936,968,714,087,731,334,543,223,514,131,519,966,963,391,071,930,911,191,
139,492,256,145,483,148,197,126,079,394,125,335,019,819,777,415,415,974,982,
286,219,497,415,592,173,575,095,567,998,403,394,270,078,572,822,491,418,730,
875,059,218,970,545,219,623,320,304,859,544,245,995,657,744,411,565,648,431,
510,109,440,506,772,242,238,502,073,438,044,798,791,067,582,200,995,199,757,
563,707,586,980,053,640,320,119,203,623,998,840,556,258,607,658,891,666,542,
270,751,133,544,065,036,156,048,636,943,904,152,218,981,807,613,324,603,172,
936,784,418,518,447,070,168,869,341,434,021,841,221,040,329,570,365,189,304,
194,748,879,579,019,058,393,602,113,908,637,121,237,744,311,642,134,916,185,
644,776,827,005,110,597,550,316,013,522,794,036,545,421,036,053,045,921,195,
044,717,703,374,925,276,295,941,725,692,578,797,619,930,348,757,581,770,845,
035,902,309,545,446,057,079,264,323,282,908,750,660,401,858,168,603,273,301,
693,817,353,062,262,774,607,582,074,990,154,738,613,092,737,704,941,812,220,
855,248,271,831,669,395,132,859,271,799,874,577,918,513,086,234,081,747,115,
728,069,326,833,248,546,133,809,813,742,191,497,128,866,519,880,381,041,718,
999,011,644,841,707,802,658,138,553,960,034,261,137,532,943,475,838,887,512,
292,982,255,309,316,767,108,549,689,599,555,408,066,480,990,958,218,241,023,
253,594,744,809,560,582,343,281,230,566,894,323,304,928,942,996,724,771,877,
643,008,605,992,872,349,680,534,406,491,752,691,698,522,356,695,096,739,087,
084,973,327,455,594,361,471,577,085,528,508,872,934,029,139,051,624,086,326,
155,098,242,317,949,493,864,937,515,390,297,801,090,974,056,013,869,627,703,
911,541,690,634,585,183,070,333,082,439,908,238,944,223,813,986,450,121,318,
171,898,390,703,189,239,636,409,488,287,393,339,964,852,690,096,432,388,637,
725,967,186,055,798,166,820,347,374,544,802,493,607,040,683,452,199,578,509,
632,828,002,818,566,133,074,691,184,044,774,775,418,827,054,040,747,125,506,
805,733,661,100,096,494,094,756,175,543,808,360,467,546,514,978,568,660,215,
742,412,213,443,684,507,005,401,713,158,511,447,465,725,424,557,176,542,979,
747,074,887,940,596,994,726,146,605,114,340,897,651,447,298,111,916,361,823,
435,465,405,486,260,477,708,411,624,726,409,013,758,002,234,951,546,763,646,
376,342,032,683,411,378,653,500,846,731,939,761,310,170,466,311,040,120,684,
278,894,333,805,383,110,597,864,173,902,996,039,518,744,472,347,546,166,935,
116,179,827,482,829,931,816,109,304,530,282,870,639,829,324,228,715,461,499,
302,116,572,640,487,867,912,475,401,989,759,111,632,474,967,650,048,861,938,
621,941,268,332,813,346,504,437,295,759,661,597,875,884,349,158,137,014,782,
478,271,235,996,942,435,404,072,503,449,746,052,500,712,820,829,316,985,449,
058,631,958,877,665,303,344,168,828,679,785,167,999,883,022,484,302,750,831,
453,675,594,592,316,186,794,476,073,908,752,494,773,953,163,702,721,318,705,
684,420,340,137,592,013,658,857,079,297,943,373,960,319,547,902,375,044,055,
031,147,280,949,380,059,061,073,517,458,616,195,854,214,525,442,978,671,017,
082,904,033,798,829,483,089,664,763,665,490,050,312,210,280,849,924,447,850,
104,248,830,291,191,337,856,208,376,287,887,432,642,233,970,528,458,063,010,
009,083,877,358,160,573,790,423,141,454,006,782,899,514,496,756,290,299,889,
964,638,995,997,672,204,807,659,245,077,860,411,578,511,919,976,719,223,722,
184,836,322,486,381,907,195,762,171,655,436,512,265,284,362,237,347,110,122,
646,457,662,481,108,821,819,094,363,759,266,801,638,792,280,366,940,049,000,
970,910,648,517,671,990,145,374,146,805,730,335,398,028,675,941,405,221,253,
940,093,032,736,212,789,146,403,638,629,336,724,393,300,806,145,234,269,251,
160,908,089,453,984,391,693,728,810,413,046,498,502,544,679,667,810,647,266,
077,406,514,529,392,658,982,957,649,150,513,035,786,160,894,924,500,037,717,
647,675,732,114,155,573,011,929,411,925,675,615,186,275,057,084,268,740,074,
738,301,285,004,746,439,018,277,233,166,939,036,507,697,135,078,853,668,859,
618,566,581,695,415,539,771,438,656,114,410,518,184,089,695,106,322,917,750,
119,451,855,568,008,032,358,067,361,698,964,410,269,659,687,155,385,798,177,
929,367,101,706,995,676,546,044,454,907,853,170,909,549,096,411,939,688,823,
742,684,045,962,300,856,698,642,066,667,970,368,688,268,830,745,186,015,363,
787,116,775,344,095,041,794,178,410,485,793,800,389,126,612,800,563,582,219,
179,017,451,434,146,060,477,108,765,674,339,565,510,544,961,889,533,691,169,
796,642,657,997,410,962,463,622,358,049,149,300,213,035,152,319,307,975,476,
964,994,547,736,001,795,352,520,738,477,831,850,433,999,619,337,229,299,475,
390,335,863,052,652,242,702,840,928,689,195,476,278,765,335,880,929,599,383,
926,882,598,927,548,788,611,839,161,809,909,005,379,304,633,246,820,643,327,
907,555,654,242,577,289,438,489,243,726,543,720,297,208,265,401,634,441,920,
728,545,616,378,050,016,860,571,933,433,317,008,178,964,466,153,540,743,583,
963,172,665,993,568,188,846,845,431,573,055,955,916,768,012,225,400,435,491,
492,951,723,269,427,513,396,371,103,560,831,273,443,875,311,117,520,599,481,
542,413,618,260,405,517,071,777,281,991,932,237,168,738,941,987,148,239,661,
046,549,496,938,880,198,251,709,300,509,036,466,978,776,136,283,353,073,363,
026,532,160,848,616,509,043,592,935,176,928,357,310,139,388,557,392,003,195,
656,938,669,588,067,457,306,730,427,291,943,069,802,913,713,424,741,287,160,
210,042,724,765,515,503,130,195,191,806,849,406,744,117,261,876,949,841,278,
147,026,902,060,887,088,213,819,196,944,866,607,697,952,794,188,864,218,743,
530,528,806,857,890,441,996,476,491,819,522,313,841,365,029,034,336,062,956,
184,394,062,002,276,550,964,805,272,810,943,541,841,389,119,002,643,535,430,
198,218,698,220,887,543,741,308,658,598,326,181,340,408,911,165,261,013,510,
367,057,262,329,396,130,665,303,261,248,568,866,995,489,809,659,126,477,040,
791,437,367,155,437,773,638,026,178,799,773,629,909,471,655,068,880,811,112,
577,847,409,036,387,677,191,203,117,668,776,703,228,609,936,476,387,272,193,
622,297,413,439,018,746,531,888,021,843,311,562,340,868,222,561,872,141,091,
006,809,647,107,563,660,216,153,446,456,966,062,380,409,995,848,920,274,410,
291,229,393,771,223,417,965,461,393,082,360,623,714,612,418,171,179,671,269,
517,887,161,884,935,544,343,015,298,364,976,866,898,356,710,083,923,726,512,
169,893,064,909,896,549,986,303,025,199,755,542,034,213,786,397,103,865,533,
652,730,147,382,454,469,225,235,174,232,555,123,436,534,049,623,694,392,509,
703,775,674,294,540,723,246,329,787,257,603,013,612,069,047,972,344,509,860,
045,600,187,282,349,704,407,400,885,177,228,925,727,378,623,867,249,136,952,
435,820,382,330,029,533,128,519,059,329,330,095,979,730,114,985,812,881,401,
440,583,333,577,649,864,785,830,596,566,197,696,341,137,174,443,261,093,074,
077,538,863,449,691,158,869,628,769,138,734,845,142,873,687,625,406,399,443,
910,114,773,063,520,289,970,283,865,435,824,932,130,254,361,459,394,958,072,
585,527,703,928,939,435,963,487,365,343,239,371,151,210,813,290,950,701,177,
541,815,921,898,777,182,358,285,585,973,300,800,885,828,815,298,573,049,134,
303,688,414,820,877,074,519,771,029,249,919,712,095,634,714,177,346,218,654,
326,431,492,913,199,606,178,360,991,524,440,480,104,316,904,774,120,500,234,
376,658,878,637,692,045,236,745,623,767,133,682,331,418,594,685,007,130,098,
385,412,851,489,048,257,670,667,182,844,843,519,898,846,102,553,421,846,258,
826,490,298,374,032,810,807,168,873,833,450,236,264,482,205,977,234,375,409,
907,856,369,434,791,724,877,244,833,485,319,346,156,708,286,264,437,191,794,
560,942,197,197,333,719,878,324,901,118,245,793,582,032,122,724,441,088,041,
911,659,826,552,803,409,546,328,381,780,369,131,396,070,020,715,263,943,720,
259,813,443,187,674,986,769,170,767,328,015,946,008,536,780,879,193,594,178,
506,291,502,510,740,322,342,588,342,450,576,244,735,495,571,191,006,255,750,
063,986,777,298,850,696,859,406,077,143,910,132,956,565,699,727,654,773,017,
481,663,754,877,048,435,819,975,142,172,288,137,259,474,033,833,511,477,407,
814,724,850,288,123,049,715,967,545,992,673,791,067,549,353,750,129,370,224,
278,695,101,576,380,216,631,188,589,854,363,271,629,135,595,052,786,083,203,
840,139,227,384,393,909,025,381,917,944,925,295,921,018,883,992,806,697,386,
756,999,068,304,466,036,211,551,532,777,481,413,038,646,550,437,020,049,940,
074,830,879,111,106,131,184,680,130,837,927,181,460,325,289,825,317,027,596,
214,226,313,816,248,004,015,900,456,455,042,454,473,317,581,814,710,125,808,
154,909,251,273,411,345,586,578,733,621,912,414,932,766,726,157,019,564,063,
467,841,013,733,767,775,061,367,037,202,124,793,051,389,657,043,447,398,252,
935,794,978,803,716,709,720,689,319,661,502,169,479,925,859,788,592,532,205,
479,691,505,002,058,528,112,486,324,909,403,866,882,180,882,719,229,534,675,
184,787,195,531,390,088,833,000,004,525,366,916,884,715,071,183,161,608,637,
960,561,832,607,436,057,401,949,077,806,347,682,497,697,821,987,602,940,553,
937,884,537,884,082,836,269,243,535,390,305,844,746,072,443,048,875,345,705,
361,873,976,824,419,613,716,388,299,453,275,305,275,429,748,995,337,952,335,
583,543,599,922,180,871,812,956,038,454,887,414,910,232,302,230,188,512,896,
059,044,628,075,961,519,310,580,050,165,577,033,962,584,188,674,725,479,603,
561,315,111,944,209,062,793,142,431,908,237,396,376,828,474,599,148,332,355,
846,844,863,162,896,544,287,155,062,265,845,742,630,438,353,155,187,391,159,
296,656,892,510,583,964,308,902,956,936,790,828,658,096,624,278,587,243,254,
597,568,346,585,098,622,677,535,662,574,359,415,088,657,917,833,375,952,406,
971,229,300,684,257,317,486,765,337,165,210,792,435,033,095,190,904,342,421,
056,276,561,787,803,560,482,750,749,216,782,132,864,766,189,534,228,452,525,
982,555,190,990,304,883,258,168,176,583,544,056,280,093,430,649,686,085,864,
655,138,390,653,384,162,004,263,784,696,327,988,402,612,804,277,726,838,613,
485,399,018,527,699,243,295,418,156,374,898,040,043,236,691,321,881,539,375,
737,455,768,678,803,779,989,793,415,630,330,524,840,512,854,375,356,850,477,
138,522,426,528,905,313,215,161,859,947,844,872,917,489,636,879,974,423,548,
183,290,859,370,062,217,094,876,194,774,058,654,974,312,148,045,896,588,494,
016,887,135,664,608,651,783,333,577,588,546,653,571,637,505,432,949,446,789,
725,286,993,515,847,657,763,644,265,356,396,092,516,958,995,732,717,315,512,
849,157,743,808,450,624,799,631,430,121,465,434,598,754,452,063,151,920,513,
708,423,101,395,477,505,024,249,042,731,119,757,023,326,350,145,423,658,173,
099,095,407,849,915,762,902,005,521,340,039,692,368,081,445,777,438,325,693,
808,820,326,722,087,420,209,793,321,357,042,646,733,616,966,778,589,595,858,
807,648,382,394,106,435,000,418,726,739,181,492,355,191,080,485,059,404,903,
052,335,348,404,748,408,434,929,753,776,769,090,594,615,815,975,557,744,776,
093,973,061,428,759,130,083,417,512,951,359,677,470,794,410,188,547,214,977,
538,580,575,130,929,823,209,853,734,690,477,164,698,263,571,887,976,265,425,
987,489,883,421,438,980,891,474,919,584,459,931,795,686,334,512,065,099,873,
873,528,457,303,117,626,702,152,315,242,981,759,536,265,975,851,101,423,127,
857,643,024,425,543,868,691,557,177,769,799,153,981,961,077,643,090,937,317,
373,398,395,197,566,278,437,459,839,279,246,917,434,721,910,005,513,814,036,
438,088,388,956,188,174,666,299,024,495,148,450,678,328,807,673,901,698,981,
384,688,610,986,902,050,573,628,929,190,799,084,591,605,212,502,539,091,710,
258,678,637,778,809,181,926,496,736,441,787,065,165,476,043,955,594,496,973,
648,425,036,024,123,905,313,868,096,103,240,296,569,022,617,853,136,399,561,
896,378,311,610,347,054,483,335,050,072,263,515,799,941,938,848,596,133,372,
718,531,717,087,056,800,630,416,185,084,740,346,695,476,902,098,192,315,527,
371,856,357,470,860,527,253,804,134,269,041,747,732,572,691,888,322,316,509,
811,408,499,420,491,401,400,073,867,696,658,878,699,312,128,592,640,992,501,
159,189,095,011,664,223,492,922,718,503,738,355,877,940,635,884,405,788,648,
756,101,894,749,748,626,400,540,454,886,035,716,063,877,114,389,755,332,903,
684,761,325,538,857,204,156,834,894,624,188,693,742,155,907,962,451,117,368,
438,937,436,149,751,807,191,503,644,582,386,474,647,976,234,344,238,167,433,
233,912,868,496,264,571,516,543,614,396,477,390,164,328,774,613,973,729,356,
395,589,514,518,134,733,804,203,157,184,733,739,334,543,942,496,668,978,301,
120,727,158,060,361,419,502,548,794,372,531,725,716,315,777,634,441,780,925,
852,005,250,983,204,690,264,116,350,321,921,088,150,739,503,306,994,235,541,
608,459,895,101,832,498,348,112,238,063,751,835,882,859,891,670,467,872,267,
276,308,599,018,292,346,998,310,608,754,047,677,606,053,144,589,463,643,954,
015,131,151,619,720,299,603,312,948,993,244,147,847,634,210,001,987,376,253,
608,072,251,903,680,203,224,801,668,589,927,869,130,846,270,095,180,271,042,
603,646,149,778,733,117,573,528,828,759,278,677,120,767,553,261,633,521,837,
932,111,536,319,223,327,493,689,044,390,577,644,819,492,577,036,576,216,345,
539,210,282,486,874,757,291,309,641,519,068,571,124,410,302,522,806,324,385,
856,376,741,095,706,076,810,896,288,423,193,450,061,759,184,230,237,671,926,
395,563,132,525,684,686,168,647,271,808,748,722,996,228,560,507,902,830,490,
340,856,594,757,217,580,711,012,633,124,554,319,708,575,049,181,727,925,977,
975,915,424,312,705,162,170,694,294,787,969,025,905,828,069,920,747,427,484,
843,797,897,563,603,410,992,607,482,876,058,171,345,847,785,485,884,501,144,
856,837,560,102,270,309,902,253,389,348,193,337,652,856,712,167,542,731,393,
250,310,549,232,032,906,972,907,958,584,547,648,666,776,229,166,641,391,748,
393,296,971,696,967,469,046,369,524,008,790,196,190,792,098,003,430,312,507,
402,406,282,924,408,333,989,055,144,903,661,759,286,019,153,122,057,204,471,
462,886,847,393,890,621,656,054,653,857,714,080,684,648,045,503,923,501,609,
159,652,846,962,974,463,396,433,191,937,021,257,446,720,041,006,616,657,668,
817,653,670,877,711,448,853,795,608,246,254,657,479,882,464,616,807,637,974,
510,024,788,118,024,224,586,839,587,610,602,485,139,140,552,753,714,982,409,
463,850,534,242,769,648,514,685,603,379,692,212,636,517,495,963,532,298,543,
680,586,134,353,912,266,640,527,340,766,566,290,545,339,080,029,059,611,163,
209,726,537,845,104,590,479,624,471,623,957,044,805,050,561,476,344,758,350,
688,989,356,656,085,655,179,834,445,244,783,295,290,996,372,274,824,341,289,
267,340,373,372,963,444,970,047,230,193,970,201,206,067,628,947,109,833,855,
307,951,162,293,174,967,864,075,470,055,264,923,516,032,704,803,335,958,849,
243,848,479,845,288,260,430,073,986,516,989,110,189,991,574,145,585,647,964,
431,908,024,256,788,040,680,989,796,238,536,093,049,742,708,478,568,437,027,
120,789,621,565,463,921,952,466,482,020,317,770,004,306,377,912,617,943,861,
155,981,462,384,495,662,465,044,320,736,434,759,784,225,312,630,363,019,289,
301,737,945,463,856,311,514,586,476,291,274,915,753,955,809,624,992,897,785,
734,625,535,693,654,751,787,439,922,576,748,001,788,087,408,645,900,082,028,
449,366,237,585,061,573,071,645,030,462,647,335,093,096,144,603,059,737,082,
269,141,490,412,439,290,865,550,906,428,695,485,421,786,370,252,976,542,360,
093,970,466,512,248,424,421,839,401,515,014,151,531,696,788,524,326,399,919,
708,477,692,516,692,196,977,497,767,994,823,354,363,330,877,510,755,899,376,
538,680,181,184,895,999,214,296,067,178,880,717,118,839,039,355,084,336,541,
994,456,383,999,041,109,446,782,225,836,647,438,540,750,937,743,061,809,770,
349,378,856,457,417,495,569,964,661,035,346,224,094,765,838,187,993,540,064,
117,962,689,015,573,058,795,455,266,593,982,866,673,102,163,314,157,269,299,
810,335,362,027,064,045,145,820,751,156,651,034,666,614,880,655,964,817,321,
454,286,918,916,582,901,992,682,347,354,931,044,782,451,874,637,119,162,983,
226,292,917,052,673,676,674,021,343,732,791,975,505,247,077,615,977,083,680,
846,000,014,059,276,167,956,791,804,673,608,793,267,114,240,592,326,664,593,
353,726,564,086,714,456,171,508,392,304,258,282,174,995,550,258,648,944,423,
281,061,667,496,403,486,335,813,020,046,788,248,830,679,312,516,453,319,771,
458,117,991,466,924,588,061,081,980,734,789,790,950,097,853,868,657,671,344,
954,063,110,206,643,993,018,320,793,055,997,090,488,775,415,690,484,846,022,
308,821,649,200,027,898,130,814,608,970,389,154,728,612,434,703,899,097,755,
028,315,523,518,598,595,555,493,866,636,898,435,308,970,448,771,368,761,561,
997,902,546,061,400,300,747,134,275,534,822,840,774,854,378,685,993,027,580,
060,306,122,635,092,613,593,221,101,677,723,859,314,846,284,858,000,793,314,
471,487,023,807,340,803,523,654,737,520,204,414,454,434,039,933,755,306,058,
178,573,884,636,738,136,834,064,831,042,838,467,789,378,803,996,274,532,953,
799,546,495,060,577,165,587,871,570,326,560,217,898,648,958,025,335,045,561,
701,183,791,812,686,791,088,667,028,371,515,939,764,581,066,679,545,971,827,
214,023,761,177,436,701,542,388,865,163,115,845,714,746,766,518,733,446,876,
030,490,409,837,984,188,503,012,591,158,725,227,928,739,386,653,638,403,604,
339,893,037,780,903,323,157,885,755,049,184,102,062,629,360,868,465,992,043,
835,395,603,978,226,525,113,938,177,474,667,513,495,319,917,474,361,447,535,
383,737,602,509,216,498,469,145,678,527,405,874,234,707,053,287,907,416,718,
049,932,603,407,597,981,658,545,076,988,392,221,231,991,766,523,714,159,143,
057,243,097,872,032,284,714,788,880,869,601,441,978,863,732,219,066,363,269,
092,847,299,096,901,394,442,674,413,190,677,027,031,035,020,059,841,872,765,
768,170,478,367,651,416,212,035,241,901,263,623,662,354,338,464,276,496,650,
516,453,597,585,587,561,397,829,241,945,124,769,542,975,599,782,715,811,976,
524,192,175,020,743,351,607,938,303,814,410,010,768,885,475,147,282,299,239,
497,467,718,228,268,469,278,830,150,221,825,467,590,557,992,725,828,217,524,
959,589,798,621,622,734,003,809,134,676,236,224,635,099,205,879,350,641,693,
932,200,999,137,550,704,369,227,540,393,383,958,868,774,855,545,997,146,044,
394,294,240,410,514,342,171,465,562,572,988,005,594,262,115,671,925,388,285,
234,461,143,518,216,369,262,143,114,948,525,259,055,256,929,932,647,432,511,
371,016,740,729,328,514,759,822,672,491,671,648,261,524,334,416,279,588,717,
067,743,069,896,248,828,589,610,913,754,437,267,832,192,866,702,005,084,526,
003,108,716,752,824,392,996,832,861,566,890,362,103,794,395,663,559,526,935,
607,211,238,720,650,898,470,919,114,457,294,840,094,455,601,383,468,200,223,
300,039,024,730,191,050,039,045,118,980,689,221,192,248,710,063,429,653,585,
184,536,736,196,009,441,145,725,637,061,710,448,565,029,118,013,135,506,195,
298,290,414,913,809,518,824,853,281,889,390,601,942,957,372,857,880,386,351,
339,166,067,659,297,350,238,549,849,982,776,125,880,765,257,830,984,254,840,
954,077,685,857,083,180,587,340,165,877,544,789,594,832,485,041,082,733,844,
623,421,577,719,659,350,899,796,652,036,613,531,877,834,032,047,311,391,130,
646,593,215,095,440,562,068,002,691,966,581,009,789,915,724,739,876,282,453,
917,016,983,366,832,571,942,408,711,103,731,379,380,302,146,732,874,514,575,
291,348,052,766,586,485,327,838,157,824,799,413,106,547,162,099,780,901,218,
191,556,531,445,717,947,593,205,288,255,949,982,632,657,765,135,394,855,544,
526,645,736,434,746,922,454,972,449,437,078,061,212,673,763,140,007,941,782,
797,059,228,255,598,402,064,815,446,169,891,504,359,713,623,180,559,046,244,
961,567,443,157,382,071,955,487,379,854,423,359,625,779,084,115,670,743,879,
078,392,399,068,990,732,713,755,152,304,885,192,159,276,396,470,251,777,211,
931,275,176,994,309,341,672,982,719,672,904,077,397,951,051,388,636,831,064,
486,409,336,801,349,779,678,143,287,189,761,022,107,851,463,868,636,061,705,
712,942,639,864,045,399,259,271,256,258,675,325,769,009,301,784,994,425,916,
661,190,041,284,409,370,235,781,116,304,815,308,082,066,488,647,932,083,230,
342,470,693,554,760,481,801,453,563,221,172,608,399,565,411,769,122,671,629,
959,214,879,450,399,852,773,490,150,377,406,328,112,659,938,724,753,079,860,
969,139,442,124,057,138,779,873,220,120,721,745,360,235,467,805,012,749,236,
482,415,485,543,467,368,857,958,018,154,959,676,685,515,808,143,556,230,449,
424,906,344,844,096,281,745,311,167,061,749,954,635,068,744,709,743,636,127,
739,268,970,460,975,465,198,377,605,999,645,439,901,116,251,946,961,408,308,
478,467,377,386,806,762,124,527,091,666,102,226,437,635,878,795,278,892,329,
601,937,204,089,274,510,397,674,837,216,413,311,255,316,919,529,570,064,890,
207,070,563,366,875,442,612,205,988,844,453,447,093,364,681,124,992,479,278,
777,025,151,847,963,012,632,119,323,636,466,571,356,179,001,844,977,740,556,
688,783,307,112,838,462,664,836,811,326,841,534,351,939,550,012,177,708,312,
085,667,535,777,590,331,807,765,661,486,976,023,980,869,727,740,185,418,141,
498,884,658,672,887,221,666,876,084,546,462,308,123,155,285,930,719,778,079,
188,039,720,352,506,274,376,505,680,481,922,737,536,410,386,912,643,109,395,
610,358,027,348,198,715,212,324,888,945,056,574,681,565,989,326,609,420,827,
128,688,696,584,400,096,502,428,312,484,169,567,763,924,291,527,499,736,256,
275,678,197,115,764,925,428,914,832,491,098,369,303,144,651,202,302,651,850,
351,513,633,271,286,191,462,180,892,899,090,933,063,260,072,624,289,818,365,
164,669,692,950,549,389,560,850,843,454,902,237,312,230,947,425,823,959,829,
068,519,847,946,334,633,838,914,743,169,325,833,798,701,839,102,915,776,437,
245,314,290,164,103,685,483,853,661,397,405,349,998,836,584,810,492,052,545,
432,473,935,089,695,384,375,824,054,338,931,032,437,283,350,767,643,208,829,
688,846,033,526,938,450,595,806,629,950,621,371,440,941,505,784,395,227,798,
960,976,616,327,143,013,107,965,662,950,795,216,680,058,705,838,806,225,937,
332,562,283,659,353,283,505,115,057,465,456,306,368,777,515,463,032,185,889,
266,714,344,293,443,935,250,172,871,007,720,356,767,567,543,292,783,343,590,
822,500,000,235,829,084,052,056,960,228,034,870,200,286,133,470,123,965,336,
407,237,331,800,809,508,364,793,618,956,848,253,179,347,386,378,537,952,392,
079,773,973,145,719,605,271,423,370,652,990,502,855,059,435,177,914,364,098,
445,535,676,618,097,437,070,682,821,549,408,199,238,044,679,754,449,170,507,
117,747,600,932,246,661,959,923,021,322,473,932,836,302,832,136,164,119,119,
162,309,493,760,889,416,818,888,461,734,820,227,064,935,454,680,507,330,167,
924,596,656,269,675,831,696,595,153,392,088,359,347,540,520,311,232,046,105,
290,260,688,187,660,056,492,693,891,524,530,912,242,214,655,427,809,432,357,
832,185,037,526,289,798,160,016,986,808,750,955,894,128,784,432,989,680,398,
198,425,040,046,493,455,077,658,542,160,256,896,835,597,354,945,161,420,087,
142,329,423,280,992,522,405,307,165,928,142,840,398,141,580,209,919,654,289,
651,924,903,539,916,612,869,354,947,352,500,867,804,057,348,400,139,915,119,
008,455,743,332,096,461,205,843,967,818,127,236,992,004,024,569,676,970,453,
629,646,201,717,163,582,943,688,974,233,526,904,720,996,024,237,505,429,616,
156,534,769,398,576,826,896,115,243,214,840,543,841,139,189,124,638,710,554,
585,336,314,927,944,669,596,103,827,949,629,562,749,456,322,987,924,627,056,
829,715,677,712,115,688,047,967,804,297,927,886,819,919,417,569,148,282,418,
438,421,192,820,405,714,866,944,599,149,210,601,306,045,271,496,331,322,050,
388,171,029,238,853,625,174,182,897,065,589,595,727,482,187,153,274,092,044,
009,919,728,879,649,389,360,677,464,904,003,979,027,266,567,106,377,792,848,
989,940,244,537,698,654,650,200,199,131,784,224,430,223,356,262,945,417,736,
663,683,008,199,084,186,038,049,646,244,461,219,890,743,085,543,258,122,953,
911,308,980,121,085,472,783,810,598,709,978,999,708,216,145,543,230,487,836,
545,569,159,387,130,357,813,071,356,785,691,056,163,191,641,543,454,883,007,
185,289,014,359,601,887,195,241,366,635,092,379,100,007,572,257,236,520,844,
293,009,636,141,504,461,582,953,800,420,812,101,130,493,549,002,747,538,371,
158,078,276,340,757,249,132,436,587,644,103,901,497,178,630,659,276,512,359,
270,590,071,030,425,516,706,452,667,964,161,792,364,584,986,051,761,338,954,
537,506,946,011,666,584,442,197,028,783,170,555,411,460,547,798,151,249,436,
346,744,336,128,521,618,641,332,801,894,028,699,349,899,970,257,385,710,572,
221,019,978,944,867,627,660,002,325,043,881,976,037,167,282,846,550,949,324,
399,489,597,176,515,581,002,900,796,834,410,392,311,194,302,503,374,403,022,
091,227,153,606,241,769,348,852,464,298,218,820,498,165,299,910,984,705,580,
115,977,761,167,567,467,879,856,747,846,334,334,178,024,799,604,050,453,315,
066,888,062,950,139,983,282,808,978,561,498,481,468,972,531,605,071,749,625,
492,256,069,047,162,160,687,280,490,817,361,042,868,926,416,745,006,302,261,
345,895,411,688,240,815,886,226,064,396,094,275,659,048,877,545,143,039,449,
436,904,442,280,806,156,906,501,942,888,221,666,196,027,799,897,449,362,592,
535,630,273,460,444,415,721,195,874,838,577,320,740,230,962,751,829,396,565,
742,120,681,390,666,628,047,497,028,805,802,317,861,713,214,173,855,117,653,
830,454,256,554,899,700,489,658,722,686,027,003,204,747,907,060,886,370,606,
806,550,827,554,915,308,421,149,565,094,071,731,968,403,802,800,922,315,877,
049,530,491,596,093,548,204,712,054,971,495,409,793,365,338,171,618,154,154,
743,616,001,277,530,062,136,661,764,309,066,000,912,732,122,355,112,213,196,
299,525,909,986,890,342,314,017,000,314,136,217,639,620,879,159,085,364,441,
699,114,673,109,244,001,174,776,864,989,999,169,180,723,669,570,935,969,993,
916,135,344,581,974,792,966,133,275,735,385,662,609,463,192,350,848,876,671,
414,032,142,587,479,008,501,667,002,439,665,289,982,780,192,975,511,647,644,
750,057,631,027,393,451,182,516,810,554,971,421,600,765,686,135,975,609,117,
636,042,816,947,298,755,415,328,677,711,099,560,752,541,680,779,849,417,633,
868,279,138,228,779,032,523,685,118,900,816,263,487,503,787,080,217,922,762,
453,863,967,135,414,607,739,112,084,544,446,660,707,329,000,125,469,229,287,
525,882,168,114,239,628,832,700,541,792,926,304,889,921,110,928,269,618,849,
538,168,830,399,121,051,250,188,674,671,150,586,459,882,030,148,489,267,426,
374,890,507,421,845,939,709,510,512,056,509,541,936,928,113,406,896,414,921,
554,497,847,529,654,530,568,714,815,917,902,231,845,190,665,526,223,102,355,
490,354,736,065,662,078,945,255,552,254,168,456,149,616,394,171,943,417,613,
179,810,197,484,928,231,813,243,011,044,457,667,916,979,457,507,887,150,095,
450,649,555,259,939,281,997,109,333,069,363,165,353,012,556,868,083,324,914,
271,074,596,902,544,493,018,968,149,803,951,887,293,969,171,547,487,562,939,
021,305,622,194,865,297,877,323,542,049,453,137,882,732,419,138,541,696,721,
192,666,409,436,064,935,236,818,327,695,805,225,205,710,942,531,688,884,203,
716,770,732,931,765,235,106,515,532,189,294,758,891,835,809,948,889,034,270,
657,697,722,627,705,578,018,832,755,071,709,850,105,922,015,022,167,556,816,
976,897,677,266,933,783,842,235,421,280,021,860,194,793,069,331,098,834,118,
649,289,197,564,904,625,721,269,083,450,531,568,674,774,568,148,838,225,334,
319,142,826,686,801,344,942,488,767,479,124,747,538,575,199,601,182,562,078,
346,067,692,350,761,493,630,825,088,944,861,157,590,471,301,806,923,416,126,
488,092,429,971,935,760,886,551,106,780,433,655,693,125,582,521,109,540,669,
764,099,840,140,249,150,591,613,203,267,808,550,144,790,800,623,298,115,898,
359,276,037,380,892,601,994,537,547,750,000,674,328,491,748,243,692,552,908,
808,024,719,654,054,230,792,671,270,093,045,297,823,085,808,449,424,852,582,
636,030,623,377,395,409,297,555,364,918,335,311,937,146,548,141,408,948,166,
358,832,997,124,761,043,694,548,263,889,999,678,166,932,816,704,862,229,197,
208,834,728,548,609,864,799,810,920,748,213,110,337,287,671,898,473,680,582,
503,164,320,334,956,460,600,649,412,849,024,511,824,371,323,507,533,550,893,
268,289,620,276,735,653,785,492,653,588,013,195,242,439,936,197,580,918,160,
445,488,019,907,598,092,489,991,506,005,632,473,683,340,246,432,664,803,925,
464,749,913,488,194,631,100,309,958,748,395,579,943,000,277,365,553,850,123,
102,429,066,244,575,013,410,039,363,725,886,556,229,632,732,446,021,389,825,
581,261,698,712,436,738,741,619,022,933,614,494,478,737,117,771,025,240,026,
978,221,601,442,382,957,433,352,537,662,605,305,490,403,059,162,198,348,661,
588,270,940,310,086,963,917,244,087,298,886,096,006,406,467,290,105,285,515,
934,598,747,147,064,974,274,471,848,495,964,682,953,230,852,844,201,570,064,
050,659,885,158,061,376,484,543,067,437,386,016,699,655,286,585,675,167,835,
398,749,893,664,224,852,722,757,492,318,758,301,785,957,825,301,460,721,252,
140,028,475,636,081,604,223,305,114,945,591,646,615,915,555,184,420,222,651,
973,088,554,964,092,766,938,770,750,412,837,189,618,974,901,784,818,931,386,
896,752,092,564,428,586,085,502,095,589,378,411,764,689,519,694,512,878,321,
903,670,845,779,346,264,213,705,136,985,729,757,552,671,876,036,492,239,700,
116,869,573,521,155,401,695,043,552,095,278,472,150,913,102,275,145,451,909,
376,952,803,431,802,963,363,184,849,557,033,902,130,589,712,334,886,730,040,
298,406,940,345,741,547,783,924,590,722,871,121,585,784,219,403,832,310,160,
285,931,059,385,590,505,286,645,316,743,087,879,386,716,721,125,237,981,171,
658,892,118,214,837,469,617,807,402,286,782,088,311,568,373,525,363,338,735,
778,554,375,051,925,687,430,727,852,525,496,732,573,247,528,261,125,731,652,
927,503,797,367,929,914,792,038,116,670,207,128,461,178,449,410,686,262,838,
390,306,775,247,257,563,261,467,218,644,390,841,525,275,710,186,364,588,643,
195,518,391,683,748,973,116,652,016,386,484,110,155,394,623,054,741,134,008,
867,788,977,163,222,371,773,937,591,246,583,179,791,226,511,578,714,035,525,
415,951,545,815,487,544,979,283,354,175,876,437,460,949,759,077,436,151,109,
713,441,404,813,866,579,688,664,174,440,860,933,971,572,383,867,514,859,550,
207,098,681,474,681,972,200,249,198,512,945,014,806,100,990,875,211,648,688,
453,181,217,763,606,198,337,275,730,737,407,551,198,196,751,092,918,622,819,
450,446,117,052,864,358,379,785,714,450,130,617,128,463,474,688,296,600,573,
661,777,573,197,935,545,333,857,414,243,496,184,766,460,831,961,168,646,768,
432,103,828,198,482,644,755,352,797,678,421,645,186,598,947,339,152,701,788,
310,318,718,319,848,244,761,122,728,543,013,541,874,107,310,290,566,459,357,
362,426,451,344,382,664,763,128,419,008,311,744,586,439,655,272,961,434,757,
522,960,771,894,902,243,584,244,273,004,861,071,553,273,506,285,144,502,124,
142,393,688,463,060,983,475,014,089,449,074,644,638,254,626,256,007,208,244,
904,966,818,973,218,229,001,637,486,133,136,426,703,056,674,521,942,593,289,
942,862,749,723,779,448,296,736,362,164,143,835,136,072,618,052,225,850,410,
675,107,375,895,661,407,612,468,556,571,523,502,837,550,621,849,361,205,175,
922,834,565,690,697,485,821,354,671,176,474,660,445,562,887,516,184,274,942,
502,039,620,927,199,296,309,487,804,734,413,018,650,525,646,497,176,123,067,
930,515,094,144,557,094,190,037,497,078,219,341,257,371,432,795,758,310,860,
261,893,430,317,476,189,980,076,739,124,956,144,279,268,624,474,561,111,996,
698,335,684,774,080,510,581,914,060,397,481,215,111,128,442,308,884,306,280,
606,001,784,973,442,294,762,856,276,235,898,921,719,887,734,645,880,741,335,
120,037,582,572,765,809,740,751,446,401,664,349,903,875,373,143,282,127,864,
158,200,016,102,212,679,735,490,268,372,101,169,435,465,535,640,151,803,638,
869,125,830,047,068,927,411,297,934,951,717,428,934,265,962,792,392,652,884,
953,164,389,858,676,295,983,621,074,245,700,636,875,631,823,238,303,070,993,
509,039,219,001,936,937,776,481,381,751,695,337,665,763,647,981,743,406,501,
047,304,692,344,681,760,012,453,075,214,932,202,030,846,809,856,046,908,642,
337,428,681,764,356,479,869,020,341,086,118,625,420,666,725,540,799,907,624,
163,971,213,926,738,017,307,890,379,027,389,483,799,851,849,431,511,887,130,
667,018,922,737,361,501,653,729,203,179,526,953,301,477,978,000,278,924,326,
943,438,930,303,634,480,303,195,051,055,367,876,213,032,000,993,957,240,804,
910,685,154,715,925,273,385,799,823,173,999,012,843,229,353,124,277,133,657,
659,374,076,936,326,450,716,410,113,623,969,826,238,601,134,124,001,548,286,
125,971,600,002,978,229,993,364,731,347,304,375,544,468,196,920,801,493,198,
585,375,622,025,352,994,959,848,729,716,715,566,920,011,431,172,054,483,217,
366,110,289,028,470,412,354,487,065,880,254,712,213,442,659,742,647,982,319,
420,519,649,682,392,469,314,831,162,608,800,705,654,170,252,547,431,158,250,
013,839,995,369,703,310,451,372,391,375,287,039,577,350,065,308,330,127,105,
562,532,247,199,058,800,879,214,522,133,283,981,715,804,991,884,132,491,366,
415,399,454,698,300,851,390,206,922,570,649,144,158,370,991,509,149,651,721,
737,453,287,116,437,905,077,732,664,140,597,070,293,128,434,587,749,052,335,
966,984,091,798,153,023,368,982,959,926,944,726,140,576,256,436,814,591,216,
921,931,085,981,419,533,843,352,914,719,958,484,736,293,417,049,522,660,302,
250,616,226,687,292,764,244,775,133,952,446,853,076,722,128,941,536,512,432,
720,659,104,534,608,219,834,743,246,181,573,643,408,811,500,397,053,001,688,
162,243,467,242,533,302,447,219,868,646,496,798,129,459,389,720,155,053,643,
539,397,612,801,358,758,721,372,997,646,659,614,569,622,872,519,164,385,893,
891,709,628,472,489,193,593,844,487,546,806,937,899,989,494,474,709,687,988,
807,854,611,892,960,717,627,004,620,972,388,203,690,802,206,069,091,293,547,
843,657,857,456,486,317,560,738,330,481,599,411,914,425,579,891,900,137,105,
274,108,403,967,782,312,492,950,094,305,588,588,366,987,250,241,304,834,688,
061,855,804,830,744,117,851,391,423,102,552,394,862,030,282,893,499,269,529,
734,532,965,803,742,811,616,795,505,374,155,074,553,097,760,585,425,731,974,
556,196,628,032,657,876,462,139,527,619,230,515,092,774,518,720,460,408,184,
043,783,679,387,295,113,704,105,359,180,495,461,713,243,132,747,620,727,616,
857,147,681,402,872,468,238,820,864,008,936,936,249,099,510,668,178,341,867,
409,954,217,825,752,525,550,365,337,944,874,682,929,889,288,801,688,144,562,
180,001,793,985,262,234,368,354,712,378,022,496,110,103,593,833,374,914,081,
625,129,813,396,513,695,788,723,548,159,800,738,335,091,360,574,332,228,924,
037,527,945,402,559,801,376,491,525,496,839,214,926,046,890,553,247,940,989,
881,042,219,671,821,628,964,033,978,716,140,679,651,616,395,264,333,070,490,
938,538,747,987,319,485,119,685,403,445,647,221,599,565,062,171,432,549,353,
071,293,937,576,918,151,808,105,086,022,797,240,049,228,497,430,189,203,657,
864,390,209,333,874,410,997,254,909,874,885,128,465,640,089,031,460,060,524,
053,479,995,096,541,514,399,525,314,848,255,225,211,151,816,052,726,870,554,
131,869,075,304,769,581,337,733,420,337,960,537,935,145,575,743,429,281,862,
087,577,995,518,929,360,921,514,761,632,177,265,938,598,064,830,891,630,238,
838,978,984,444,347,807,660,116,876,287,068,572,317,014,657,663,410,284,021,
593,900,369,333,379,490,881,999,212,054,332,548,475,737,871,684,001,958,918,
217,966,139,770,629,522,394,165,947,799,028,520,650,178,886,587,114,692,262,
102,087,018,249,191,848,812,520,713,218,403,897,462,908,886,267,969,814,367,
249,645,646,723,014,692,273,763,576,385,677,346,629,001,365,217,799,928,825,
683,569,393,169,889,304,539,848,888,437,420,314,723,169,124,870,622,196,385,
325,835,076,481,027,121,206,104,201,033,852,959,793,117,710,457,646,852,430,
910,747,965,360,373,356,152,207,448,950,041,316,838,993,281,752,067,393,692,
015,558,624,921,323,034,913,121,428,955,087,651,209,171,424,957,371,654,459,
822,076,014,857,605,081,558,101,245,054,717,909,277,318,920,458,692,516,436,
985,598,913,222,930,185,720,511,630,524,675,114,182,876,377,823,874,460,739,
517,324,419,037,712,553,532,158,631,991,643,579,337,995,905,818,265,742,037,
174,580,020,184,600,531,317,986,411,091,343,602,201,530,413,000,823,777,411,
513,580,634,666,670,357,980,457,473,267,833,544,848,103,767,575,481,774,251,
048,990,692,157,310,959,848,658,861,372,694,109,063,310,475,583,375,333,471,
079,887,074,868,806,172,329,106,547,411,130,124,632,263,406,691,199,797,992,
079,703,611,910,908,853,760,071,449,729,236,994,285,084,783,973,513,047,370,
534,215,416,895,922,051,990,727,383,317,995,792,410,430,677,109,820,399,107,
307,295,899,211,261,920,913,081,773,373,559,035,021,482,109,103,225,860,725,
308,908,051,186,873,080,353,563,707,257,821,876,380,184,876,136,350,855,197,
874,076,421,975,000,602,689,164,574,949,516,403,002,614,406,003,064,095,830,
821,220,326,480,264,902,670,133,008,505,651,982,662,686,274,918,799,664,476,
778,644,002,228,232,561,607,811,050,136,185,657,533,174,214,814,691,342,312,
914,006,998,198,338,334,878,566,940,810,058,394,919,894,868,917,126,517,609,
378,167,765,230,059,634,858,498,377,128,002,530,241,420,450,110,802,020,290,
482,919,608,809,402,746,414,584,211,141,472,004,821,918,596,785,365,497,929,
647,446,830,081,117,412,228,465,649,754,858,814,002,229,343,201,483,171,450,
602,296,232,747,551,702,704,970,681,707,251,489,964,964,703,586,791,810,146,
348,164,479,671,337,700,944,561,065,997,266,534,768,412,764,899,282,828,863,
276,377,789,584,733,125,180,282,222,193,576,609,605,356,567,384,284,149,118,
162,333,472,585,765,194,555,692,133,274,916,450,981,662,311,067,369,837,391,
088,895,182,825,105,335,772,331,879,795,812,475,957,775,071,821,106,016,581,
120,429,340,379,886,910,616,042,582,250,871,502,772,324,802,807,860,482,397,
531,274,312,209,802,204,611,015,306,478,712,964,719,320,058,343,645,154,499,
603,474,974,461,997,789,984,443,913,519,296,023,234,670,536,987,116,960,758,
800,192,039,447,989,266,784,789,524,574,867,722,360,224,540,138,973,369,623,
083,352,737,217,863,288,852,331,159,261,632,346,940,890,786,289,574,786,256,
261,691,743,664,279,806,125,936,923,673,251,989,104,750,916,988,563,108,347,
985,462,708,408,407,107,748,858,332,565,622,386,783,504,164,904,978,758,695,
246,961,589,975,413,743,720,083,504,689,681,940,054,052,610,682,812,278,573,
529,428,204,304,733,135,186,376,932,456,695,165,390,317,514,507,304,869,493,
631,877,219,638,925,043,720,257,868,990,310,012,979,087,086,371,376,739,149,
965,281,740,503,721,898,696,241,499,992,360,561,224,157,250,542,991,526,153,
027,208,984,863,542,624,505,017,605,863,025,367,908,323,121,770,593,877,680,
095,016,194,530,673,149,247,308,507,441,355,615,097,841,928,161,248,377,862,
409,168,550,666,868,565,585,587,933,253,436,280,544,276,153,374,253,682,528,
790,465,346,821,081,108,848,836,939,793,513,861,727,973,927,135,289,109,776,
588,885,375,914,145,393,936,961,709,584,355,095,489,125,876,255,328,643,747,
892,660,908,208,611,296,701,656,070,475,267,961,825,573,188,937,647,417,755,
060,577,955,107,327,414,187,809,380,326,281,084,827,440,099,891,415,120,492,
777,772,613,111,104,272,692,383,279,602,845,036,069,833,104,315,942,363,079,
779,163,115,523,857,230,631,432,726,088,383,225,721,956,776,834,155,334,595,
304,066,555,404,797,710,351,482,245,097,980,661,715,996,342,534,870,920,430,
580,695,222,320,840,106,949,177,718,272,678,069,191,550,763,109,753,362,464,
911,219,052,423,656,038,958,954,364,095,342,445,607,273,393,688,172,542,605,
525,230,888,672,068,985,111,702,398,847,841,636,071,058,301,521,759,815,466,
372,846,781,783,066,308,704,063,877,246,808,579,268,304,939,221,685,343,695,
214,910,748,340,923,465,469,423,518,950,299,919,441,924,474,613,922,140,904,
725,762,590,633,137,299,027,398,397,025,293,492,548,844,721,346,124,058,839,
355,941,203,401,458,244,906,602,602,976,757,418,428,128,528,389,167,440,085,
727,357,543,751,333,228,143,540,553,947,271,475,168,631,694,984,782,623,794,
495,004,420,855,507,267,288,945,973,063,640,935,723,520,664,519,282,788,059,
385,681,750,125,132,810,219,893,766,739,403,243,968,892,419,064,766,465,325,
939,781,238,520,131,917,514,470,730,960,225,637,516,046,748,798,634,304,774,
109,723,017,707,541,360,927,373,220,546,025,561,985,180,988,562,044,407,108,
372,381,426,646,428,343,068,303,787,178,100,944,608,457,897,337,570,296,195,
199,283,210,156,078,624,948,461,088,214,632,799,266,508,794,979,987,927,451,
182,331,375,689,663,658,681,834,439,358,815,055,192,308,930,860,077,424,098,
195,226,961,418,915,029,766,657,776,604,778,711,801,816,436,316,288,019,761,
538,445,780,660,890,326,837,044,759,868,013,601,045,785,315,414,787,381,361,
878,989,198,522,784,003,698,229,197,676,841,678,399,635,849,551,192,522,153,
706,681,002,805,435,980,592,773,732,134,132,644,900,422,191,046,007,669,876,
645,385,789,546,395,759,663,951,750,770,372,368,923,888,102,884,925,717,602,
925,682,689,609,785,780,128,574,289,586,914,675,093,731,519,443,872,577,636,
331,903,379,368,948,425,169,976,084,593,952,890,212,189,013,378,821,255,172,
884,710,539,283,807,826,069,448,340,310,387,138,582,085,988,925,221,828,062,
518,991,358,329,924,332,883,002,621,901,002,611,472,671,902,345,208,618,102,
087,919,930,163,700,707,784,106,533,535,772,865,719,995,380,842,223,983,352,
770,254,390,045,704,317,402,197,059,087,425,895,839,282,929,108,150,448,508,
768,914,249,688,378,520,148,014,044,815,457,607,248,508,848,341,861,016,061,
203,381,448,232,053,659,537,203,650,140,804,619,177,530,714,154,397,159,408,
082,266,226,787,782,897,928,485,306,349,750,951,202,524,466,940,108,343,977,
612,339,668,925,115,313,918,448,385,131,294,161,177,039,785,172,217,762,504,
215,851,604,682,625,525,716,819,590,717,174,920,474,822,402,933,057,904,515,
937,498,872,231,212,660,672,860,279,883,121,796,471,897,710,150,575,859,080,
003,208,598,589,552,802,356,758,496,305,128,031,508,757,295,015,193,398,037,
501,424,818,189,474,772,793,156,960,914,340,750,943,707,266,534,045,909,722,
639,952,611,276,025,701,459,266,207,502,073,634,318,032,012,858,635,799,211,
259,322,197,041,476,008,929,620,407,625,685,518,080,363,513,112,552,513,831,
899,371,644,340,412,102,447,992,526,074,731,476,631,153,415,466,831,618,351,
536,191,054,273,171,191,614,955,936,812,155,853,613,113,488,932,252,782,092,
456,060,883,474,726,153,127,477,307,623,382,934,959,986,747,327,165,968,006,
415,586,603,849,985,218,070,829,379,256,684,037,632,175,618,839,630,733,420,
200,497,174,681,797,108,525,920,142,174,126,843,935,930,254,521,078,429,462,
685,564,303,001,156,647,999,753,316,090,386,489,434,759,631,548,235,556,656,
798,981,478,994,493,249,726,620,349,141,598,271,237,690,085,372,000,857,686,
994,798,889,422,393,839,324,744,301,545,485,677,133,268,282,325,541,182,653,
163,616,867,119,063,522,906,263,547,056,813,902,206,705,642,676,807,641,620,
091,170,153,368,759,155,995,837,097,766,774,010,547,769,069,135,784,021,511,
247,523,150,953,769,846,381,364,277,278,015,466,874,839,817,535,928,730,459,
351,944,487,684,237,820,043,118,447,620,945,364,074,721,560,255,364,661,076,
612,445,758,191,099,049,878,357,883,640,960,370,236,181,928,223,736,297,800,
679,693,555,369,576,018,752,643,459,801,580,500,241,561,781,224,361,726,393,
636,499,542,812,213,501,114,368,640,433,271,019,884,657,695,735,427,329,677,
123,790,324,219,128,963,087,796,723,718,970,829,391,694,379,146,383,105,967,
827,071,285,287,770,452,503,436,490,897,119,340,217,649,650,434,414,842,303,
473,828,606,393,228,172,907,454,284,354,616,549,771,865,561,658,268,554,582,
590,902,784,007,087,390,690,528,255,930,175,818,020,302,958,953,279,771,995,
741,420,294,576,881,528,326,801,044,869,094,918,419,904,707,318,768,502,475,
187,883,959,372,206,680,483,337,397,101,509,270,634,891,292,974,559,207,417,
851,629,200,229,511,917,438,158,919,524,254,647,630,292,473,306,431,657,420,
367,091,841,393,018,054,327,739,077,029,237,496,360,725,391,025,604,514,389,
379,814,875,559,372,905,587,281,864,044,178,955,182,716,497,186,559,698,386,
059,557,869,718,509,390,593,808,419,717,671,343,393,122,097,659,954,847,966,
478,950,675,854,160,257,904,331,329,270,089,845,090,809,195,446,325,571,036,
932,180,012,458,402,478,944,955,061,186,686,939,627,624,867,287,046,440,209,
660,960,244,314,097,184,675,208,325,413,995,381,233,172,275,341,086,864,951,
177,640,978,460,501,926,275,856,458,864,668,703,335,631,097,942,413,540,815,
692,949,968,624,581,062,409,452,704,306,745,823,030,156,385,022,597,824,478,
439,232,654,549,012,952,075,809,667,753,110,939,334,935,886,583,919,736,873,
342,150,503,591,402,361,708,520,109,884,076,373,201,603,435,754,615,951,370,
204,569,997,171,049,108,849,849,488,139,030,533,198,357,706,656,351,157,266,
018,221,650,698,866,924,271,659,359,680,993,341,369,272,447,894,782,146,919,
642,992,354,827,477,145,245,911,522,961,697,562,442,965,280,579,326,000,079,
256,303,892,649,954,298,636,127,053,905,817,606,114,005,827,984,532,130,530,
687,554,148,765,657,429,614,157,333,673,583,906,838,867,359,302,135,837,653,
821,152,525,220,404,783,067,405,576,478,269,097,796,504,944,329,948,118,484,
205,256,644,001,555,063,653,226,955,615,751,151,479,762,066,252,844,412,085,
151,450,001,716,917,985,104,349,259,152,994,654,644,353,830,060,298,371,491,
187,211,663,878,529,366,364,361,917,968,718,835,877,129,009,013,468,255,574,
582,039,692,236,436,470,762,808,198,895,914,419,957,093,853,749,205,228,296,
640,502,555,078,692,506,222,474,572,415,621,871,565,747,724,150,857,113,512,
715,573,399,080,328,386,443,260,806,117,904,908,761,870,355,494,621,414,579,
570,989,808,069,171,676,075,032,167,471,316,242,690,655,608,831,613,594,428,
666,371,043,570,241,518,803,765,762,721,669,237,534,373,298,837,176,050,876,
140,944,680,376,891,345,003,204,428,049,105,947,731,846,804,806,906,865,852,
444,381,647,337,446,041,657,348,369,871,739,617,179,044,458,881,306,066,111,
827,850,734,050,281,542,610,487,959,523,156,981,877,405,519,272,285,777,341,
012,795,043,251,379,243,568,011,821,235,956,306,249,689,879,431,513,552,702,
629,573,045,944,094,668,332,562,787,461,574,563,287,388,033,015,422,228,554,
168,963,245,859,680,803,433,065,648,979,937,027,334,909,249,729,786,962,930,
596,292,411,565,733,004,899,323,605,369,426,547,287,695,330,155,761,583,364,
945,438,840,934,856,371,714,362,210,499,665,272,096,082,397,065,346,032,599,
179,183,914,189,714,457,924,067,596,626,264,539,807,026,442,097,152,077,135,
818,674,811,134,882,096,482,635,256,116,803,441,509,150,716,685,753,197,172,
268,051,848,211,824,864,177,090,153,575,573,272,020,482,698,704,049,161,875,
378,222,612,876,164,216,747,946,800,464,013,043,260,702,684,407,150,207,211,
805,517,592,477,667,417,150,465,771,427,683,938,441,822,457,177,329,292,623,
314,708,116,231,925,644,949,506,075,081,069,049,147,515,871,421,150,667,398,
032,901,499,780,175,509,402,860,734,202,047,198,626,015,462,750,668,172,397,
439,290,792,342,876,048,398,041,237,978,162,808,362,294,633,832,273,342,924,
132,143,139,008,455,186,820,786,205,378,746,039,356,518,619,549,788,527,265,
689,022,361,085,738,460,110,731,831,215,524,127,598,456,683,373,449,256,899,
399,283,182,896,144,006,701,631,620,735,828,226,063,095,545,809,630,524,997,
178,668,766,977,875,933,164,073,367,657,442,324,064,803,948,286,146,747,744,
624,551,914,073,863,173,309,961,174,311,258,670,627,724,118,975,291,722,212,
603,756,559,487,454,786,752,035,838,830,753,809,827,230,007,271,565,016,728,
733,444,770,957,622,812,867,331,874,141,407,641,785,184,058,729,916,654,030,
739,163,104,702,443,082,658,381,720,117,817,196,916,251,969,705,403,307,038,
736,187,979,810,658,152,066,090,801,264,359,502,913,415,924,241,160,500,317,
407,430,141,991,075,678,569,644,458,093,492,621,274,168,119,140,074,902,339,
101,586,298,140,870,402,970,416,293,147,585,453,965,576,778,636,840,886,843,
054,934,243,330,131,215,468,311,245,845,096,080,480,449,606,890,891,222,474,
148,150,781,016,890,147,361,971,383,364,344,862,982,115,241,957,113,431,089,
545,442,229,596,325,769,074,770,646,860,046,548,833,841,400,408,226,512,934,
314,517,842,094,073,254,953,195,458,800,590,257,139,125,593,001,028,839,874,
119,805,551,828,735,171,913,568,124,824,940,540,436,020,442,115,762,169,158,
570,765,681,347,310,843,867,025,916,545,083,580,382,310,769,068,766,719,845,
287,125,479,286,070,301,731,823,091,793,679,377,253,437,939,427,937,991,198,
909,452,154,761,315,991,505,959,443,090,568,777,586,662,289,709,258,209,727,
157,415,726,212,155,496,414,612,170,692,448,385,587,839,685,832,099,139,722,
612,093,235,503,646,461,431,504,678,332,680,011,855,071,648,590,678,565,462,
934,993,862,226,480,827,561,623,012,120,931,325,365,103,515,736,347,669,663,
695,463,494,881,232,905,306,191,185,344,860,434,224,708,573,676,267,456,432,
498,960,563,337,588,228,890,306,124,817,422,334,866,087,996,103,352,898,263,
126,021,651,277,673,032,975,709,758,577,373,186,124,670,266,488,466,839,012,
514,297,388,239,715,466,026,569,481,091,405,542,901,841,457,985,184,937,209,
164,955,739,325,827,251,168,962,043,795,266,378,012,297,612,045,961,944,713,
546,989,055,834,790,641,661,449,202,358,238,216,783,394,684,973,029,025,151,
222,840,425,654,653,298,107,674,205,792,613,841,873,838,161,901,070,680,335,
974,729,751,166,631,883,474,179,400,311,177,070,242,742,580,917,490,775,212,
549,132,227,881,324,464,209,843,521,591,357,164,856,979,353,261,525,164,557,
367,465,084,843,241,134,812,006,508,320,739,874,591,306,490,695,039,813,175,
612,835,686,290,606,481,281,367,744,258,820,481,838,675,498,270,700,964,928,
908,150,463,483,932,297,991,888,332,040,678,852,679,155,584,475,543,211,957,
717,715,784,737,030,661,528,338,036,976,722,908,714,772,045,516,093,597,233,
896,433,920,743,158,629,322,521,419,554,110,493,052,641,815,057,415,992,891,
676,600,537,516,569,949,797,730,521,238,148,874,722,166,463,680,304,460,988,
401,009,581,175,450,793,591,350,252,142,661,803,588,515,457,233,950,974,670,
985,781,595,908,914,885,678,489,689,238,122,436,351,298,108,535,044,146,360,
301,266,585,220,492,198,876,480,069,513,788,219,138,811,326,287,096,780,370,
484,443,734,027,091,252,074,318,754,071,334,363,453,938,073,764,010,382,011,
876,833,232,503,638,400,448,236,471,891,635,615,099,596,453,232,364,413,445,
891,525,562,115,767,615,490,021,732,714,208,433,584,836,864,863,919,752,578,
743,540,905,906,839,812,820,630,651,281,512,630,631,261,321,579,953,524,852,
267,787,378,405,809,650,537,578,528,633,171,806,535,188,458,004,932,931,644,
004,195,711,789,875,170,633,679,394,404,378,912,730,380,053,733,351,689,323,
438,931,419,992,963,516,707,468,015,740,392,005,734,229,215,780,774,401,768,
801,075,449,916,523,840,021,036,289,666,411,026,268,320,522,854,145,165,404,
467,954,342,483,356,632,418,476,221,851,402,632,415,040,757,494,853,819,864,
987,240,820,121,008,851,581,348,159,771,582,259,450,038,010,332,900,072,045,
477,379,690,078,001,495,474,015,936,523,283,691,716,753,782,991,293,986,057,
614,810,979,429,235,254,180,880,541,990,775,517,997,073,685,237,868,202,344,
942,214,158,472,762,539,497,529,600,813,060,270,403,528,764,691,055,871,783,
129,090,662,348,291,695,020,475,971,759,950,420,947,369,256,916,815,348,978,
766,546,330,152,963,114,459,239,400,422,147,136,756,719,996,809,709,142,787,
960,460,936,004,610,273,972,359,251,308,954,108,444,122,620,357,505,580,567,
754,826,631,880,359,471,672,408,825,082,338,934,882,694,632,728,282,211,830,
806,626,530,867,509,836,829,824,652,294,872,145,473,030,595,085,602,033,633,
127,831,841,015,724,875,484,396,346,399,855,155,042,574,950,383,531,985,398,
885,570,347,075,806,288,719,184,011,942,729,705,217,932,297,678,982,826,476,
858,690,356,855,979,851,403,160,753,692,891,203,617,734,925,283,264,506,471,
681,414,718,946,269,594,996,190,874,023,533,237,574,975,463,988,112,309,740,
063,767,955,115,594,530,732,179,978,931,609,702,983,623,355,605,914,768,847,
153,049,091,105,337,137,641,896,058,536,804,506,466,362,638,151,980,688,933,
381,589,531,463,232,049,625,855,612,780,096,122,084,455,025,651,768,507,210,
608,649,303,855,319,814,384,303,769,108,776,784,970,579,894,727,362,657,948,
780,025,398,924,123,256,125,982,964,439,810,642,645,506,226,614,565,918,834,
622,103,625,601,455,686,412,049,191,716,404,739,590,082,557,289,606,630,413,
982,248,489,634,295,028,211,124,643,408,440,441,130,581,359,963,924,395,737,
870,515,227,828,612,137,958,379,513,275,317,325,710,329,182,758,905,792,326,
843,319,036,157,204,187,127,953,172,754,391,187,874,492,484,286,062,887,933,
054,972,972,741,121,606,465,333,816,862,921,282,880,745,989,361,283,582,065,
508,220,836,852,155,469,878,900,647,586,754,088,705,625,622,128,660,312,724,
145,858,695,899,388,523,295,833,007,227,480,738,970,467,478,859,911,253,517,
983,011,169,408,681,631,010,656,585,560,541,257,112,459,963,133,054,010,020,
444,584,648,123,187,351,838,509,439,683,654,778,449,290,648,615,587,661,310,
374,804,563,813,815,451,187,241,331,213,720,836,075,894,676,198,817,411,664,
640,254,458,438,808,671,570,243,840,331,873,509,961,707,038,626,198,032,974,
799,584,480,735,079,150,191,312,910,505,644,838,684,428,332,825,093,563,821,
705,947,743,873,678,646,075,208,569,538,597,331,827,001,820,901,920,347,590,
302,790,299,516,494,159,898,251,628,270,198,703,733,893,470,892,107,378,428,
913,654,310,321,961,429,090,915,678,946,443,013,477,883,616,819,464,031,945,
995,364,464,221,608,110,454,166,078,395,803,963,555,568,932,010,233,634,692,
702,425,532,959,104,325,454,164,938,580,887,890,410,264,117,461,399,856,008,
892,606,431,457,466,953,305,376,712,265,331,817,517,933,561,936,746,454,571,
078,257,861,665,145,094,171,029,289,295,641,173,933,821,742,180,485,291,773,
048,191,944,932,362,989,513,652,248,764,251,265,267,008,486,188,806,683,182,
552,508,880,146,542,213,428,240,488,422,729,489,412,167,479,408,922,481,451,
830,818,874,851,722,639,711,784,570,365,297,503,382,787,442,472,836,432,253,
356,198,915,393,257,103,135,545,218,622,897,301,875,163,226,876,356,281,045,
130,535,154,854,519,857,473,962,485,444,433,645,530,487,635,707,615,383,009,
917,459,887,803,365,391,551,928,865,965,358,288,379,975,740,062,226,703,505,
298,282,484,388,199,127,269,526,751,312,134,529,279,973,743,092,077,114,051,
425,912,957,327,452,903,096,343,266,758,521,691,185,165,802,640,242,010,230,
256,617,127,892,996,869,898,853,062,152,595,704,408,678,180,109,485,581,652,
563,906,748,699,795,239,396,647,966,780,603,650,954,469,763,703,331,801,800,
247,129,461,714,943,091,460,080,183,882,541,441,353,725,037,998,988,246,206,
739,713,245,345,655,144,276,047,420,422,115,952,148,488,328,696,561,448,193,
590,422,910,743,739,840,244,578,030,490,489,073,899,605,805,443,825,880,834,
026,727,641,023,181,251,381,896,194,130,653,657,668,265,179,152,834,882,734,
731,303,164,579,493,123,871,915,381,193,589,806,422,784,206,296,789,423,614,
438,267,742,043,133,189,806,382,651,706,739,253,052,776,190,737,195,178,445,
890,665,241,384,597,948,649,982,170,313,857,415,198,805,012,046,273,357,849,
069,143,738,761,074,392,436,575,244,649,615,935,280,144,174,714,470,232,158,
594,661,609,753,174,383,255,584,681,620,832,031,077,621,840,126,300,095,738,
455,523,444,699,216,705,487,605,309,652,049,105,756,810,973,984,068,813,824,
599,364,599,510,379,670,364,102,490,242,626,355,264,805,907,044,823,344,907,
277,842,675,699,367,123,711,474,008,332,768,089,479,558,646,604,364,156,644,
764,076,289,902,900,640,973,228,982,127,032,388,884,921,719,587,571,976,152,
247,908,105,204,947,540,448,722,269,592,676,540,810,750,160,850,525,018,376,
277,815,351,010,012,739,945,962,823,084,640,111,212,391,680,936,850,149,749,
649,962,424,227,381,570,181,485,737,099,886,365,791,042,459,369,602,236,891,
767,537,821,063,697,156,841,607,935,889,336,098,179,800,613,468,904,773,732,
805,804,054,958,216,942,886,996,848,012,189,803,161,995,481,946,149,630,795,
616,142,141,050,185,048,503,157,180,451,771,100,623,480,963,132,802,315,641,
267,921,300,176,935,487,172,814,021,158,769,641,686,318,675,309,695,974,949,
566,578,091,883,605,577,569,923,882,372,567,907,583,138,081,701,642,014,108,
949,671,698,722,787,609,486,010,722,247,875,453,249,880,960,991,863,780,838,
760,371,956,435,504,490,341,439,241,558,262,475,219,352,880,315,905,686,913,
804,475,091,033,239,760,321,510,036,553,920,577,209,813,088,292,630,236,795,
355,364,164,329,602,622,244,669,256,301,374,580,376,803,887,567,039,605,417,
537,928,940,712,813,424,866,403,350,793,394,003,683,697,724,679,904,984,702,
277,960,403,499,395,581,369,480,698,519,226,345,667,339,079,893,380,110,073,
444,901,421,560,783,017,420,057,668,553,164,571,026,219,974,299,262,869,091,
372,102,562,081,991,479,906,434,886,534,983,729,924,589,850,958,106,176,594,
219,736,686,899,020,656,372,734,359,143,688,935,731,939,707,018,591,075,300,
954,654,697,608,436,498,197,571,956,369,169,461,451,470,718,467,606,901,478,
634,144,967,742,850,622,077,052,807,061,632,173,376,890,781,709,203,405,444,
931,438,952,103,006,691,891,390,220,921,893,243,253,052,357,740,717,597,246,
726,968,102,983,507,507,582,732,412,390,009,438,901,016,025,230,910,436,219,
852,246,108,652,483,437,280,479,465,241,228,236,401,890,768,696,101,611,341,
414,055,771,551,774,506,415,808,827,452,110,579,145,955,194,301,674,870,939,
862,457,070,701,756,372,169,120,757,836,966,725,792,466,395,664,127,953,011,
145,668,070,465,798,498,399,303,848,798,563,178,459,818,121,282,153,039,116,
009,651,213,202,811,452,807,169,523,921,282,778,433,340,931,255,680,110,806,
488,071,326,535,137,010,142,211,408,731,854,354,791,093,599,254,299,450,292,
540,117,228,154,065,681,325,187,593,535,750,853,408,900,324,323,660,344,041,
947,167,044,333,341,825,880,957,925,096,769,371,349,639,313,890,248,186,517,
529,285,296,000,759,788,453,544,088,268,784,816,612,901,818,144,090,050,628,
719,944,155,240,920,996,247,952,370,965,150,305,043,099,309,099,687,536,970,
608,732,427,797,207,826,460,128,996,983,927,081,514,209,790,902,572,562,281,
216,856,600,077,064,429,849,203,916,577,864,961,131,910,089,266,113,541,695,
721,779,981,978,638,685,288,276,548,003,362,303,021,940,161,242,169,258,322,
062,005,300,231,353,591,375,497,464,577,280,258,546,382,530,479,531,071,542,
106,862,061,511,849,749,790,659,221,952,565,354,501,813,216,881,373,296,672,
731,180,352,574,169,349,695,624,661,643,657,707,515,890,462,430,207,698,642,
439,682,296,400,353,887,442,334,521,193,994,514,233,536,279,197,619,322,102,
529,220,150,262,955,870,339,401,278,641,696,621,704,085,657,570,025,463,645,
841,875,172,874,661,016,379,355,220,962,858,275,803,888,379,633,189,740,697,
607,227,876,672,962,048,382,065,364,284,221,219,104,624,313,365,542,307,725,
874,903,441,846,414,206,503,740,823,194,958,691,315,616,685,453,001,388,854,
188,376,548,727,237,536,947,239,195,263,441,298,337,586,227,720,605,861,408,
388,345,067,294,306,105,964,724,414,320,535,416,067,755,196,240,274,471,379,
340,455,359,472,039,918,207,229,331,522,279,653,760,206,990,762,723,788,217,
965,604,131,558,078,339,261,155,531,728,977,009,757,146,349,841,280,845,778,
275,891,877,647,688,172,697,644,371,376,078,334,734,932,218,882,356,975,985,
674,526,206,072,368,817,220,544,373,245,458,424,791,877,227,766,429,706,093,
998,103,506,762,451,770,421,007,414,863,921,429,270,516,750,086,467,558,494,
615,814,918,119,127,943,954,598,315,257,347,696,070,035,467,808,012,971,138,
650,356,081,812,467,114,007,573,525,620,544,840,246,275,477,669,969,166,363,
348,987,831,645,938,298,065,928,399,152,410,291,531,624,988,020,912,905,689,
042,235,464,707,987,721,022,758,929,590,279,383,256,877,909,540,173,013,084,
331,657,641,612,573,532,681,759,388,156,077,265,093,168,885,516,353,874,094,
191,611,003,557,319,152,829,618,047,574,304,173,707,340,397,030,415,441,019,
762,061,899,851,639,869,018,085,340,770,661,063,631,342,165,225,721,633,695,
062,203,982,475,616,495,938,228,524,985,853,686,840,056,171,847,037,415,272,
272,746,572,192,447,509,018,643,840,434,457,698,189,180,158,891,358,048,977,
297,496,004,008,940,793,488,138,354,037,201,340,472,774,142,029,234,660,265,
453,701,219,294,445,865,294,690,778,033,812,507,776,614,197,237,037,800,289,
899,438,650,888,322,439,727,962,031,660,734,583,619,340,417,136,887,821,467,
204,779,618,164,400,950,325,457,780,131,913,308,471,310,866,090,379,013,396,
822,174,745,585,571,118,292,549,818,444,186,882,816,851,822,096,713,640,226,
907,897,647,693,104,650,781,375,822,037,201,338,805,202,808,065,418,212,060,
254,935,259,202,942,279,164,689,681,071,367,159,675,717,966,675,104,472,623,
118,403,586,535,257,258,227,217,495,429,471,379,435,983,883,765,873,119,371,
143,593,047,298,648,034,669,031,418,581,076,500,014,783,148,307,449,638,374,
154,484,601,369,527,880,386,483,321,266,709,799,519,505,808,063,856,447,210,
255,792,751,902,517,255,493,694,465,776,967,791,779,706,415,157,800,089,261,
299,461,810,888,326,326,051,524,997,854,478,115,114,463,238,251,257,590,356,
195,937,056,540,251,295,131,959,381,434,240,698,356,840,477,367,992,538,227,
549,482,723,849,111,173,311,435,603,162,856,631,481,353,286,736,438,415,635,
065,742,284,431,669,552,614,020,414,679,449,642,155,052,400,046,408,660,343,
081,886,596,611,035,518,380,059,644,687,814,705,646,743,068,483,055,816,385,
777,760,801,569,114,511,602,483,164,324,919,962,142,952,832,044,061,932,525,
612,689,352,201,878,943,498,919,309,379,932,583,242,776,110,474,352,656,465,
437,724,201,093,151,947,677,819,602,635,001,641,224,532,248,428,003,082,739,
627,474,738,653,909,243,633,971,896,320,104,042,073,174,538,069,911,977,218,
088,358,580,209,758,555,796,932,986,608,794,664,870,216,648,776,894,020,991,
730,510,837,863,097,960,090,062,722,200,652,100,123,790,519,958,127,058,283,
296,134,812,675,274,230,302,176,038,737,503,326,081,230,847,672,414,995,995,
330,043,050,102,242,875,900,649,732,028,620,632,508,030,317,691,566,229,011,
759,162,040,577,702,453,165,630,800,909,028,475,993,874,762,027,587,624,059,
178,784,790,149,077,505,076,726,875,433,272,263,597,621,095,908,193,659,948,
568,546,812,079,500,881,014,157,132,215,495,488,935,275,210,518,709,123,417,
653,165,266,529,698,990,307,727,506,854,781,035,761,501,675,686,277,696,895,
171,014,345,890,107,650,697,276,919,851,780,530,548,559,059,633,080,286,978,
626,497,117,383,854,256,063,335,706,075,376,814,099,385,017,480,623,460,260,
319,350,673,474,159,959,398,866,560,894,827,467,288,111,882,123,444,586,064,
767,593,476,930,353,410,146,495,856,575,281,853,731,635,275,634,122,860,602,
930,205,600,621,528,636,427,802,406,498,576,794,423,689,425,934,054,844,758,
257,382,772,190,235,553,563,241,150,931,449,652,781,695,543,897,717,941,988,
799,686,785,471,763,688,642,686,588,605,368,388,515,154,969,349,304,188,447,
824,744,697,725,777,429,453,369,581,155,543,002,308,195,436,467,337,140,497,
347,004,904,720,639,410,794,873,539,863,804,116,758,488,216,659,013,057,802,
550,185,974,577,854,387,275,205,702,519,312,349,192,982,939,278,329,932,451,
935,706,670,890,348,361,401,912,937,073,302,076,282,912,915,634,904,586,268,
261,627,222,905,231,601,002,475,592,354,829,577,366,956,840,530,976,810,588,
738,059,585,819,424,002,220,894,507,240,005,113,025,289,101,243,907,855,479,
912,920,250,000,529,693,049,216,832,974,553,399,154,691,846,274,741,490,949,
393,591,014,293,270,876,512,978,160,549,853,741,051,013,135,272,398,279,546,
512,213,657,831,503,084,497,458,191,154,505,419,538,587,597,878,076,381,783,
851,556,998,657,925,419,699,700,286,687,548,227,348,803,045,496,245,069,952,
256,545,988,524,396,973,282,758,743,284,529,630,839,041,840,303,681,518,676,
038,942,186,625,023,695,565,887,089,954,391,880,009,489,396,899,852,837,457,
593,175,000,340,105,063,243,075,113,574,689,851,174,970,367,630,969,403,761,
350,792,280,946,072,405,819,297,575,880,585,241,801,834,813,052,742,536,902,
018,811,465,965,325,798,186,468,360,448,978,711,158,966,970,949,124,656,035,
378,598,155,183,749,473,094,602,304,018,805,258,395,301,976,203,019,544,027,
684,863,350,168,145,483,301,349,317,593,594,283,672,862,265,608,783,369,303,
714,746,952,312,083,970,809,133,658,658,325,670,374,048,584,027,376,415,566,
153,336,432,492,555,422,578,759,226,012,195,579,328,006,607,555,082,795,386,
645,491,861,217,598,542,241,254,877,917,727,151,130,800,605,583,125,250,698,
173,453,230,848,868,507,509,244,524,445,673,628,027,705,725,352,313,497,234,
890,520,620,378,789,153,924,493,097,131,480,643,853,683,951,863,745,740,630,
415,711,471,192,771,867,601,417,928,928,457,823,798,628,129,970,591,421,496,
739,693,392,057,031,621,854,124,990,874,562,653,707,363,859,496,032,973,064,
761,885,515,416,316,835,885,401,649,251,984,131,897,262,981,411,557,333,368,
424,470,786,260,708,216,958,187,817,710,308,604,041,778,126,106,143,678,019,
583,563,299,585,374,666,165,095,223,274,629,956,840,559,654,010,308,668,687,
080,679,704,872,256,065,311,264,496,123,812,542,811,274,479,024,855,590,184,
764,122,361,477,817,863,856,877,841,321,734,835,778,260,507,352,342,425,055,
989,523,998,836,924,495,206,215,136,494,841,534,074,984,056,773,700,622,834,
909,702,231,467,939,675,931,997,499,299,751,230,545,252,473,883,909,189,005,
575,740,258,590,461,797,959,502,964,983,889,078,618,480,847,096,899,068,444,
716,398,271,927,907,979,223,752,973,798,495,924,129,169,658,160,379,020,808,
732,124,532,647,631,379,308,223,549,823,827,544,385,553,008,193,605,754,020,
688,724,302,403,812,004,807,439,165,797,941,757,219,401,347,819,527,578,060,
472,207,245,032,164,584,198,258,350,957,923,716,853,904,525,986,854,751,582,
484,141,565,607,356,809,437,872,388,356,857,739,562,143,724,003,416,001,366,
496,607,625,988,704,207,136,492,479,857,532,191,170,813,397,166,241,807,624,
784,709,310,977,456,808,811,263,061,188,617,962,554,013,481,815,062,970,875,
961,090,501,525,888,973,005,661,342,650,209,287,438,572,867,438,585,327,694,
531,330,166,190,206,521,449,232,087,227,882,737,586,498,897,237,009,303,366,
048,831,718,391,895,041,702,684,713,207,625,193,886,626,799,536,285,450,204,
565,962,477,084,694,469,538,373,978,336,127,042,700,293,204,838,117,257,257,
701,498,493,389,591,584,337,840,711,982,941,498,696,827,300,583,784,204,736,
137,735,683,126,205,350,581,523,310,557,122,325,779,124,384,034,625,068,004,
504,322,215,837,606,162,114,107,568,524,274,160,529,850,482,862,543,146,931,
173,024,554,466,116,305,026,646,039,398,300,950,166,734,589,606,491,681,576,
900,980,587,851,503,568,123,855,102,259,886,509,005,701,729,434,006,166,729,
791,145,976,307,379,313,707,586,730,375,933,578,530,209,821,251,613,656,519,
382,535,523,557,823,615,012,734,233,698,342,763,774,068,760,143,155,560,413,
441,971,063,625,573,307,926,964,082,315,333,218,487,863,898,683,020,449,350,
493,450,958,493,860,915,008,579,804,474,277,228,726,574,280,349,010,757,563,
526,964,233,426,628,318,983,641,401,223,385,929,545,794,340,523,717,983,748,
529,554,869,621,420,269,933,786,567,919,821,282,700,502,792,114,976,816,908,
842,331,168,733,169,682,273,187,176,815,934,185,738,966,728,538,566,766,238,
853,638,955,209,836,082,389,668,965,205,704,549,971,115,158,934,963,134,315,
794,777,013,367,432,193,946,588,636,387,775,957,426,131,753,795,923,709,277,
285,975,912,056,043,021,266,999,020,636,884,597,669,046,417,098,232,000,040,
363,603,168,136,536,983,960,902,487,654,335,617,238,685,235,565,157,601,429,
018,117,898,192,321,562,510,884,082,328,164,219,707,664,597,244,294,066,805,
164,508,479,690,499,790,295,251,973,828,857,197,322,587,222,816,539,991,134,
146,512,348,066,447,367,043,650,876,241,041,875,422,273,517,517,491,942,567,
793,210,846,762,425,006,768,370,174,173,697,736,541,938,817,781,315,374,001,
285,870,986,670,956,788,832,100,724,016,904,790,084,720,602,728,874,074,839,
397,900,954,572,138,573,706,637,122,347,770,004,080,298,179,469,898,250,689,
745,984,751,122,953,960,333,526,947,923,094,801,326,015,651,991,084,999,817,
431,740,832,582,291,894,764,174,136,268,470,129,897,168,059,063,494,937,584,
482,900,058,766,350,881,428,371,220,899,574,557,975,998,995,810,249,029,854,
265,317,833,373,731,350,800,699,103,022,888,677,371,891,701,249,876,721,196,
353,706,713,549,264,984,430,830,125,844,358,465,715,399,420,548,294,592,779,
545,512,050,083,434,520,353,861,739,463,139,642,225,022,453,318,095,994,160,
918,241,494,160,971,810,355,404,406,838,383,814,191,960,756,408,233,321,951,
327,304,559,845,022,687,519,685,434,560,170,261,582,590,688,858,104,627,016,
133,261,989,402,231,717,154,732,891,980,026,567,335,089,206,981,549,782,225,
799,492,357,608,445,419,620,621,311,623,293,151,408,728,130,398,909,923,556,
472,005,972,033,391,372,803,185,210,936,533,117,346,009,176,683,377,567,549,
390,705,637,492,429,787,284,879,805,380,778,681,718,502,699,890,343,674,656,
379,183,764,413,638,256,209,771,368,294,444,641,267,457,215,459,284,624,636,
340,699,846,022,878,888,246,715,604,721,618,925,327,880,759,619,938,672,401,
613,876,247,369,555,112,518,850,330,055,987,474,374,449,756,662,012,454,780,
261,467,682,543,689,945,706,054,533,175,487,024,389,639,222,658,448,866,535,
527,662,407,051,086,929,223,147,134,650,486,319,761,229,773,376,587,273,311,
987,927,238,335,903,080,520,369,973,242,540,354,419,951,839,511,410,639,855,
108,055,141,061,378,086,255,110,765,925,730,007,096,521,198,057,106,959,314,
447,810,585,648,080,387,982,727,950,762,156,458,595,291,184,134,754,475,796,
148,961,957,238,772,976,639,158,364,063,134,518,613,913,753,803,582,749,429,
403,932,499,566,252,323,755,889,348,070,949,269,978,098,274,393,857,667,324,
836,288,582,206,702,121,276,080,522,251,245,090,381,421,296,420,964,318,767,
771,946,935,681,324,426,127,514,576,354,630,948,371,644,044,516,177,773,546,
327,061,150,594,254,371,066,300,162,496,157,936,247,524,122,329,348,892,882,
042,860,820,611,546,888,046,731,319,381,198,729,237,481,540,374,764,717,728,
965,518,766,061,921,490,773,051,626,695,132,379,984,994,048,182,346,618,933,
392,774,087,205,623,949,680,928,973,905,692,549,209,833,625,731,750,375,818,
721,893,644,675,259,243,330,363,215,311,640,254,254,859,812,904,972,172,217,
900,044,014,541,415,518,576,978,890,824,429,442,478,402,905,958,779,919,368,
487,144,215,213,612,634,295,845,102,581,197,614,551,861,733,231,235,180,251,
178,899,940,131,208,061,639,046,154,954,498,968,525,811,478,043,029,322,048,
141,711,392,829,809,813,691,467,410,702,984,386,026,528,206,895,530,889,041,
893,405,340,152,347,455,001,331,497,970,439,123,742,598,317,172,904,662,653,
519,150,187,514,881,320,597,436,428,854,406,870,547,841,385,142,379,725,986,
420,577,921,397,282,784,714,529,084,761,500,192,582,895,799,030,507,095,867,
055,016,494,307,963,773,811,092,915,446,936,408,835,478,333,929,727,772,373,
474,007,810,361,452,608,372,070,383,579,448,604,671,892,809,604,090,178,933,
476,688,965,118,267,169,205,244,291,271,214,840,846,656,857,353,420,882,564,
515,022,147,005,344,090,228,540,913,565,522,967,581,272,826,332,318,292,501,
659,871,148,531,212,022,194,960,866,173,768,914,925,205,286,262,925,229,252,
938,843,203,879,821,695,146,760,984,213,621,922,659,744,324,646,715,298,787,
892,053,044,628,806,177,523,624,293,285,943,819,720,803,744,708,798,303,453,
411,924,508,922,646,022,000,691,244,377,857,116,543,093,667,912,485,179,503,
664,766,337,950,196,398,165,447,956,657,297,547,446,754,847,921,142,769,317,
182,665,369,726,073,784,537,095,050,224,647,181,047,060,075,844,993,643,054,
087,116,091,348,820,579,898,829,634,148,615,922,464,666,374,696,108,677,130,
738,486,014,197,661,006,903,091,188,553,985,712,766,912,212,094,486,651,132,
472,993,029,397,538,662,916,382,201,462,265,051,414,703,197,326,745,642,486,
639,130,162,762,490,643,221,240,616,559,590,749,267,469,863,701,382,425,262,
647,034,884,932,102,827,515,124,106,946,448,474,921,014,053,124,271,586,082,
997,561,773,024,373,152,308,393,160,295,249,452,434,607,689,295,472,196,530,
555,807,741,703,287,767,117,393,805,657,447,531,922,118,325,376,658,900,192,
893,308,301,883,501,797,183,521,181,647,782,046,414,672,000,427,977,821,126,
617,819,275,002,029,146,836,739,705,874,989,313,329,274,454,304,089,744,181,
097,423,319,075,222,083,509,927,660,697,640,683,512,374,884,995,257,297,135,
142,463,167,980,268,603,390,620,465,666,524,711,662,683,580,762,579,114,091,
978,800,122,029,425,668,171,712,963,719,500,973,960,493,643,169,136,923,607,
622,098,513,155,227,491,913,983,141,901,818,284,919,417,647,934,457,507,923,
136,016,678,127,803,768,994,813,762,633,507,039,609,380,526,353,619,881,720,
755,132,697,534,862,432,340,245,454,067,695,089,114,895,628,636,622,032,500,
310,765,985,578,851,176,589,704,146,118,758,811,801,218,673,511,049,516,110,
896,885,824,611,895,454,753,174,322,148,615,890,676,791,363,438,639,142,924,
351,493,200,431,563,390,543,794,149,631,641,348,374,502,355,818,908,771,894,
772,147,242,479,752,299,341,172,619,169,390,510,250,745,383,968,217,879,912,
283,513,612,577,888,213,043,000,889,909,440,172,325,223,902,442,832,200,491,
951,277,909,288,289,988,777,097,326,426,518,040,416,680,553,929,909,999,768,
286,344,779,831,194,685,659,123,322,278,348,137,746,728,226,444,009,704,711,
453,322,049,699,668,288,509,678,321,865,445,326,021,461,490,089,889,233,212,
443,859,555,340,267,166,959,009,748,257,502,818,980,157,779,918,815,711,214,
008,379,717,136,717,022,001,307,627,443,739,590,299,460,070,556,524,885,578,
600,077,384,979,675,519,552,561,337,552,229,206,057,068,870,334,969,777,917,
817,799,306,258,782,973,028,621,921,186,726,192,376,487,355,188,830,466,373,
431,984,409,053,346,761,899,798,383,248,140,061,230,483,451,332,279,953,780,
043,225,528,580,195,176,906,544,004,428,716,559,434,423,934,820,783,080,004,
134,651,552,885,312,300,737,438,768,747,236,169,214,317,061,877,492,572,180,
539,546,317,610,162,422,571,047,197,991,393,984,719,456,436,921,240,045,111,
520,978,115,657,488,881,071,143,168,415,737,356,712,859,514,939,133,848,612,
731,350,835,055,958,476,601,513,811,584,729,395,418,418,738,709,157,001,897,
828,342,486,882,165,226,496,117,753,014,979,080,383,786,387,930,662,323,814,
267,602,131,058,330,292,107,823,498,694,272,458,517,419,247,584,712,006,921,
539,039,376,475,606,881,145,876,652,147,955,624,101,430,613,245,375,251,834,
454,870,287,222,464,218,791,427,365,302,494,139,726,206,633,078,466,486,654,
566,699,175,540,050,383,025,239,963,696,417,083,555,072,332,331,697,356,873,
378,722,919,134,526,680,221,214,177,620,684,724,135,541,917,831,992,322,993,
792,802,228,925,493,312,040,520,881,847,436,256,501,188,719,412,244,211,794,
201,835,438,840,320,051,576,493,117,237,485,635,938,497,956,807,232,507,804,
464,013,119,075,733,923,625,134,208,030,329,754,321,704,933,058,359,524,026,
687,972,295,271,162,031,993,061,870,049,154,632,205,517,600,184,957,496,955,
662,768,850,386,315,323,495,887,029,292,150,699,602,549,277,855,430,801,853,
224,376,109,347,582,598,223,136,414,943,094,303,702,827,234,042,214,617,736,
850,015,303,418,295,351,390,938,511,510,557,137,508,143,909,010,805,298,618,
322,680,427,065,359,670,271,356,043,728,904,270,729,708,819,282,242,476,391,
912,797,015,039,782,044,317,991,249,742,553,261,675,889,587,227,110,230,338,
479,094,650,101,278,328,163,525,169,784,327,286,107,181,915,198,047,401,392,
748,094,912,183,042,582,441,020,817,781,019,368,299,715,042,325,956,917,772,
091,988,964,642,733,463,813,277,637,478,224,470,710,269,652,484,742,029,375,
985,832,582,853,559,830,796,547,115,658,534,652,556,548,437,229,966,371,412,
017,415,419,939,396,532,116,193,042,323,981,322,941,300,336,110,737,637,691,
293,519,078,146,846,316,819,786,191,971,420,920,690,944,697,764,644,810,808,
273,045,325,117,240,789,916,715,286,905,315,481,436,428,591,784,078,913,923,
483,143,577,358,147,500,063,203,029,488,882,354,384,722,464,358,356,655,595,
339,320,005,831,610,591,321,930,159,856,691,134,709,109,587,379,791,893,990,
742,398,914,718,683,980,357,670,768,547,807,877,910,599,384,362,648,053,639,
535,406,223,750,008,738,818,658,821,286,729,549,816,912,459,716,848,599,563,
639,850,397,239,578,351,167,436,379,778,473,547,994,028,263,252,906,637,717,
235,617,035,577,737,053,650,252,772,223,743,994,769,971,622,157,957,098,346,
419,813,413,697,312,296,483,164,306,655,590,863,113,560,446,623,825,378,964,
597,321,457,587,818,097,115,955,185,530,436,332,357,390,506,021,125,848,790,
992,539,149,369,787,631,641,831,890,122,437,940,020,199,445,608,627,746,486,
945,878,495,979,520,414,819,093,592,707,851,147,030,844,797,360,729,445,659,
957,715,783,268,960,691,662,890,909,107,820,362,219,641,497,365,183,230,917,
727,223,073,581,478,100,484,772,332,366,703,120,295,384,132,450,452,179,296,
076,972,384,769,455,614,243,946,222,086,023,052,370,050,861,515,283,272,697,
310,907,536,019,136,226,734,328,091,564,523,881,387,281,264,636,779,393,981,
784,552,458,497,006,461,052,950,226,945,108,696,341,879,714,699,826,035,423,
373,750,671,337,569,690,422,247,905,580,232,363,544,560,280,931,567,007,932,
786,217,500,287,839,604,849,783,152,510,522,230,935,978,563,211,259,690,914,
592,495,157,391,949,627,974,681,761,367,846,768,050,886,287,665,846,103,890,
716,183,909,547,148,169,052,077,862,929,452,597,379,499,227,483,947,289,955,
464,868,112,616,011,067,038,846,101,650,951,230,094,703,308,502,993,205,632,
908,098,300,747,514,558,948,392,304,126,015,194,455,280,482,485,445,384,170,
115,093,158,646,481,908,858,281,690,447,995,296,534,040,501,871,262,325,326,
370,920,371,348,369,263,457,393,696,380,282,721,427,399,410,504,101,596,869,
716,031,551,845,635,003,626,705,083,726,451,112,588,906,332,731,896,629,003,
787,441,940,627,265,989,576,380,957,019,163,406,748,746,219,337,919,057,269,
460,414,308,754,667,869,829,530,879,080,733,398,928,324,512,216,167,520,085,
844,859,854,000,554,278,128,561,861,379,607,514,255,639,871,955,089,808,166,
316,233,503,728,646,030,702,975,280,120,108,040,825,139,123,186,385,895,980,
923,043,616,752,990,917,488,078,852,941,284,210,737,893,927,333,283,449,644,
479,376,545,835,832,647,982,598,156,996,891,298,854,087,847,783,988,311,297,
990,577,895,818,660,660,341,529,754,611,620,860,477,308,250,121,369,772,529,
635,837,226,006,576,537,405,146,578,008,667,730,508,632,907,392,860,960,545,
244,668,187,266,952,339,908,428,461,699,912,986,920,220,530,021,553,732,780,
183,698,590,531,338,414,170,206,454,465,527,062,401,496,129,265,240,332,732,
762,307,038,286,711,699,066,256,325,535,179,756,743,279,266,701,033,580,098,
998,073,090,592,102,932,445,187,757,520,915,579,925,582,669,478,516,530,535,
734,653,233,858,819,748,327,443,469,930,198,027,412,241,070,050,551,089,539,
196,115,108,786,627,022,864,219,446,509,281,196,725,661,994,844,801,168,486,
327,425,162,048,026,490,108,118,324,653,597,691,407,560,048,118,484,601,166,
425,699,398,728,934,220,603,614,122,457,612,409,282,616,071,231,513,534,376,
838,006,479,209,872,365,857,883,518,853,246,120,687,844,671,774,916,551,167,
343,270,337,557,003,172,659,359,687,178,924,444,896,332,316,224,039,305,995,
936,425,804,597,097,485,297,416,604,453,967,629,058,806,754,606,968,565,632,
687,766,176,975,277,534,365,715,051,447,443,980,188,645,664,026,518,116,948,
934,482,655,043,444,512,145,798,581,547,593,037,759,759,825,372,238,871,597,
858,792,986,200,779,217,045,058,249,301,692,191,633,329,251,630,881,151,608,
569,234,729,302,030,524,279,262,888,751,490,675,646,433,162,009,925,704,736,
555,948,308,214,298,719,529,804,871,360,768,645,254,927,155,669,435,041,223,
315,672,067,682,282,629,154,729,318,101,450,870,000,035,073,844,269,968,472,
774,547,359,573,116,030,894,659,659,529,141,743,403,725,072,243,530,903,428,
722,865,266,188,641,711,210,253,289,924,890,846,854,323,479,627,952,689,908,
499,705,842,099,763,345,396,512,179,330,784,594,191,057,619,745,542,899,549,
001,845,862,031,544,895,301,716,823,963,605,163,159,831,394,799,783,207,429,
774,588,381,506,458,119,370,126,470,783,154,940,138,930,009,407,988,849,341,
958,456,812,630,725,007,922,055,785,058,280,697,378,864,257,407,054,357,822,
648,364,227,802,663,812,549,706,189,388,879,642,664,853,378,342,730,393,844,
370,006,996,752,344,778,459,809,160,804,217,192,888,140,360,025,027,764,172,
728,298,335,169,278,487,974,634,315,582,859,424,091,822,051,868,460,829,865,
685,560,578,222,175,487,823,442,512,350,090,617,866,761,801,611,030,107,450,
781,814,191,593,173,443,454,556,502,910,969,054,528,770,938,964,625,255,545,
984,512,443,084,436,241,619,583,305,616,027,672,861,789,595,474,045,814,152,
501,673,310,936,382,309,927,526,147,479,686,033,358,941,980,057,450,570,454,
383,587,868,093,333,024,281,277,604,694,743,626,913,419,217,142,137,729,139,
473,756,274,800,393,089,308,403,770,735,643,922,505,430,538,965,885,546,592,
612,806,257,933,631,960,327,713,086,766,908,077,493,982,134,685,986,429,230,
405,147,053,546,868,883,152,228,179,116,365,442,494,418,299,135,678,796,894,
745,923,235,361,905,867,697,906,468,802,184,766,846,259,382,125,813,509,509,
455,284,881,999,792,595,312,466,728,736,345,425,695,246,238,621,837,065,524,
557,736,450,645,088,453,050,984,479,394,236,792,081,007,480,976,745,337,762,
511,119,841,220,128,862,593,302,621,485,239,006,158,974,396,776,602,222,606,
489,692,332,988,300,207,103,758,080,160,275,665,926,507,811,614,615,049,496,
083,160,129,600,600,022,633,468,497,796,110,720,633,436,690,353,844,303,517,
113,168,937,826,622,581,215,073,003,517,568,540,191,350,688,793,427,001,614,
975,442,101,964,839,668,274,722,847,572,339,952,186,861,645,420,786,794,418,
179,676,012,852,524,069,527,675,816,517,659,558,732,761,699,901,805,158,483,
243,297,084,236,930,522,117,428,565,842,954,600,710,640,425,136,857,688,580,
579,921,543,957,548,028,060,486,940,519,326,001,919,770,204,656,524,966,133,
659,535,411,350,984,340,410,595,067,159,931,781,308,826,797,489,153,609,845,
199,914,029,090,743,981,165,093,230,659,490,493,340,930,078,492,153,459,089,
419,882,434,802,288,129,036,646,314,283,943,568,191,785,240,731,698,350,947,
938,176,406,825,550,368,447,095,506,237,654,312,261,952,365,177,651,684,980,
787,468,189,916,765,138,471,130,279,658,554,082,523,072,772,411,376,440,994,
069,011,661,662,793,931,206,158,901,509,974,806,998,032,160,360,750,563,552,
552,520,380,123,497,345,049,747,341,646,105,041,227,820,649,399,542,129,904,
605,414,267,834,187,175,523,595,784,372,400,596,218,833,775,818,518,632,628,
718,213,897,643,538,754,490,443,207,664,194,546,148,132,173,598,952,650,541,
699,789,061,670,055,892,348,613,725,318,401,106,037,630,430,007,728,316,707,
207,940,903,861,474,770,413,180,028,073,141,825,173,348,404,104,834,066,408,
779,126,535,863,290,753,492,094,408,510,553,473,068,853,884,435,303,002,217,
182,866,748,468,424,042,223,177,326,445,092,297,434,998,887,213,607,305,427,
525,857,724,604,736,950,679,005,761,908,087,776,127,182,850,861,705,088,046,
259,772,480,993,904,183,346,459,403,462,330,844,883,826,250,462,900,431,138,
709,895,550,787,915,101,733,159,662,304,031,512,664,376,351,875,608,136,774,
012,523,355,147,619,716,017,451,911,986,554,363,071,050,426,838,320,512,938,
716,789,899,502,249,103,835,629,717,996,317,005,009,553,795,172,151,413,230,
225,447,705,082,430,413,834,534,362,086,577,197,743,874,271,873,882,984,826,
811,873,003,824,419,171,993,450,647,354,440,114,072,141,361,496,010,157,382,
011,886,923,615,353,081,309,927,696,969,461,375,394,111,058,378,808,904,574,
949,973,588,279,316,086,884,305,324,041,048,492,208,131,623,230,046,109,897,
937,339,514,354,026,164,516,338,131,782,453,905,587,528,354,952,741,715,897,
419,630,361,431,931,401,435,530,197,535,532,085,903,533,324,834,827,830,909,
507,800,292,647,969,861,364,493,554,247,904,170,857,778,179,153,403,171,825,
358,923,079,943,244,696,982,455,173,296,788,876,759,912,121,379,639,690,661,
205,789,079,601,086,398,851,757,848,787,785,302,378,479,648,696,585,411,585,
148,222,941,430,483,442,098,314,973,718,129,394,809,649,835,865,723,366,122,
032,593,449,862,751,239,394,516,343,101,974,618,690,760,153,899,696,822,164,
659,252,599,838,154,077,791,407,233,087,465,457,658,127,992,514,326,918,612,
653,162,873,089,649,395,386,574,068,194,193,425,131,380,929,556,144,111,917,
349,171,713,135,613,550,756,938,475,753,430,788,230,777,073,482,506,505,456,
103,865,288,332,561,657,215,466,645,381,921,834,380,457,915,410,568,893,007,
163,010,093,463,042,813,400,347,129,927,506,775,723,419,996,271,151,338,770,
368,267,152,580,537,003,959,690,733,412,174,901,868,375,674,761,040,804,667,
865,457,903,544,314,007,651,330,058,463,880,097,246,379,067,328,554,257,381,
429,372,115,082,554,305,874,379,822,176,010,697,370,693,347,419,047,776,407,
120,503,194,349,459,648,123,678,400,956,889,655,396,516,473,328,876,485,689,
151,257,310,780,081,628,459,511,461,822,210,733,230,459,472,537,636,966,385,
853,649,845,862,014,499,415,660,679,901,670,573,761,784,593,638,227,485,347,
598,307,491,239,967,050,968,664,320,362,201,690,877,032,673,755,432,239,889,
648,513,934,751,182,135,905,876,939,211,084,546,909,865,145,178,830,133,161,
900,934,078,609,159,076,366,024,253,963,030,111,547,281,096,699,482,526,095,
392,135,059,939,941,037,818,689,732,440,134,545,207,290,642,424,632,986,131,
207,988,046,327,640,695,447,738,825,455,900,031,976,149,822,713,027,066,940,
145,834,067,261,637,280,993,862,765,161,907,843,281,733,847,224,706,648,871,
348,141,115,143,263,590,094,170,282,281,569,728,035,679,337,837,834,408,799,
360,342,009,022,157,606,070,467,592,425,016,272,305,929,707,222,721,241,606,
153,469,712,031,210,016,251,418,830,018,395,895,117,970,104,820,178,580,632,
416,730,907,971,853,601,774,457,000,448,567,129,514,987,924,900,259,604,572,
324,801,144,522,689,685,032,461,278,664,593,144,026,203,556,678,718,048,314,
349,602,220,850,630,202,116,535,484,494,724,581,434,299,206,109,167,392,744,
934,972,131,030,839,625,272,796,273,877,052,397,978,061,522,175,973,302,070,
454,928,574,231,251,540,587,411,870,873,901,023,048,098,625,323,923,422,216,
077,650,083,644,088,765,865,492,136,710,957,500,661,431,174,360,251,257,242,
456,559,618,209,377,941,647,218,842,691,682,329,562,063,022,356,322,388,658,
409,171,276,279,914,832,660,453,911,411,900,598,166,358,384,988,904,317,924,
630,585,099,169,531,765,860,262,983,118,073,764,228,062,418,801,127,663,151,
913,236,028,074,599,415,564,516,609,130,369,748,382,429,345,850,238,538,084,
463,663,515,262,257,316,481,463,961,552,098,930,154,407,911,573,687,020,804,
733,669,486,335,753,395,205,174,860,769,143,198,097,059,433,291,882,057,980,
095,824,428,801,852,565,092,151,500,293,426,456,042,629,035,405,073,535,029,
866,306,253,876,936,788,483,498,878,659,399,838,692,195,497,050,993,477,126,
338,056,769,576,409,965,874,210,059,118,830,033,722,303,775,819,694,853,972,
569,800,179,873,372,302,510,247,616,781,544,900,697,514,729,094,447,900,783,
541,445,182,007,321,144,938,618,856,165,435,447,854,062,285,676,817,801,694,
162,151,233,861,467,174,053,311,946,474,838,771,386,869,698,618,262,102,298,
944,605,025,117,580,770,342,593,458,254,458,159,373,956,738,901,429,087,160,
517,918,804,174,325,323,714,105,105,504,410,582,553,632,684,237,310,965,124,
673,403,322,890,499,894,488,685,144,452,631,936,517,659,459,241,267,143,766,
187,380,234,881,825,636,049,768,851,352,764,567,271,267,828,318,630,543,260,
718,214,635,385,410,372,935,035,396,569,235,245,297,017,216,051,947,255,939,
206,409,392,604,404,696,538,247,704,816,192,034,477,786,978,551,589,085,983,
746,762,663,106,743,130,651,760,057,576,030,816,849,772,574,504,673,450,535,
393,267,701,287,132,218,488,529,006,224,425,557,796,830,873,671,685,868,890,
790,483,305,248,212,729,221,091,390,063,248,108,110,598,481,000,629,620,517,
600,631,209,893,517,830,369,086,939,449,755,668,325,808,149,877,060,829,788,
999,099,034,049,925,629,764,632,374,609,648,048,329,933,679,255,100,865,891,
150,158,067,279,935,175,521,038,955,672,693,339,902,603,868,640,732,323,335,
059,816,483,225,011,727,464,447,599,029,077,548,712,548,763,534,237,102,713,
359,505,357,694,523,147,458,509,119,786,891,488,517,238,780,304,155,666,104,
392,103,370,146,736,567,489,996,807,254,390,199,135,420,746,148,798,696,058,
705,799,820,791,658,732,890,814,660,389,932,299,556,525,800,631,963,737,976,
255,143,017,815,938,961,944,970,827,291,998,412,452,920,728,152,007,166,134,
707,577,335,631,298,668,009,472,665,415,180,308,675,158,273,994,438,306,621,
511,411,086,573,774,435,264,112,661,518,411,767,370,960,566,606,210,713,309,
953,061,140,220,381,778,170,433,783,418,839,321,273,449,407,487,509,917,255,
193,503,588,999,763,228,929,756,987,292,525,249,668,717,404,638,076,603,640,
612,778,806,561,428,012,401,080,340,897,956,045,848,983,612,126,110,692,229,
533,718,947,366,450,127,694,626,880,495,086,672,578,394,392,706,622,678,293,
747,206,623,992,923,137,958,886,048,944,647,618,908,248,135,267,438,998,257,
624,270,794,115,895,917,344,208,855,782,754,234,568,430,426,585,766,838,659,
139,451,818,751,706,062,292,334,127,787,482,229,408,641,271,711,758,597,037,
359,071,257,611,594,696,196,600,043,852,177,643,217,999,267,609,023,558,612,
917,900,323,872,396,213,937,326,247,092,101,974,240,032,599,860,140,191,678,
641,392,872,064,664,684,216,200,771,872,695,853,906,924,485,196,923,504,395,
849,458,393,732,001,337,531,272,133,224,303,155,853,660,845,301,892,758,622,
138,178,659,095,184,343,480,854,375,447,382,038,323,804,552,230,985,091,533,
495,100,214,477,150,593,876,988,360,105,204,144,621,105,338,964,559,759,268,
943,997,282,628,615,894,940,694,316,500,121,963,990,422,621,701,428,166,406,
639,749,326,715,819,998,582,551,608,688,124,776,082,533,053,528,595,565,741,
832,861,544,358,326,016,541,856,345,179,202,016,837,477,431,778,270,280,031,
052,871,148,177,500,948,975,379,184,814,808,835,160,882,235,636,965,353,486,
661,121,331,658,732,548,953,120,057,568,204,993,857,335,592,566,657,092,965,
727,943,704,722,222,604,943,501,238,806,217,464,489,232,771,030,685,301,124,
977,123,509,231,443,587,530,142,251,127,879,294,731,033,172,104,341,411,199,
778,231,730,956,233,288,059,666,241,261,812,621,520,998,690,571,317,777,476,
213,955,238,786,616,496,422,569,725,799,079,376,137,590,923,004,165,607,283,
545,337,661,452,143,581,980,109,288,227,972,136,074,784,660,027,721,642,430,
566,206,877,701,717,962,353,743,247,042,989,670,331,392,083,729,813,457,240,
769,525,654,549,309,700,153,013,459,281,842,735,931,314,854,235,247,762,757,
238,984,759,590,887,070,307,597,945,916,065,847,786,507,543,773,688,649,105,
461,109,823,971,007,046,376,202,378,429,307,538,370,149,918,381,943,581,048,
383,033,564,498,604,241,843,289,661,456,734,272,457,323,511,556,460,692,697,
286,736,909,713,380,249,576,402,421,047,652,934,601,746,051,187,278,788,452,
252,294,635,561,429,737,807,366,661,257,616,878,907,377,814,431,549,398,278,
850,056,508,080,579,641,851,705,409,657,293,380,487,534,757,056,612,085,870,
519,636,567,759,823,555,874,562,230,626,347,755,176,357,431,834,910,948,413,
763,754,488,747,237,837,783,008,144,697,656,962,438,345,305,761,226,970,597,
328,715,674,717,990,836,591,953,959,926,938,581,316,305,708,413,948,343,908,
339,377,424,726,528,608,631,420,217,877,632,931,408,465,114,825,384,910,953,
256,691,659,618,717,671,992,983,714,959,600,143,826,667,869,819,283,987,473,
601,956,306,272,723,785,542,102,204,445,316,836,560,183,444,520,909,752,100,
420,382,808,799,583,614,629,213,996,811,904,592,474,721,775,997,757,935,564,
193,642,701,092,676,307,972,088,195,658,699,413,607,908,131,383,218,148,002,
886,234,377,579,971,495,840,343,027,772,077,069,253,231,394,177,399,492,899,
508,953,057,112,874,309,452,755,681,984,691,163,123,328,608,100,605,311,552,
384,545,345,844,590,535,071,969,411,709,714,901,143,280,144,145,660,499,911,
829,004,314,503,599,762,756,452,572,658,410,314,645,255,914,446,544,819,266,
703,096,562,761,732,303,875,534,103,788,403,263,492,263,582,609,310,945,573,
993,112,913,764,552,662,205,697,578,561,752,531,899,179,711,444,103,631,798,
525,658,136,081,456,523,217,716,071,016,687,362,046,329,670,851,737,083,123,
953,366,712,281,185,111,032,498,246,053,595,571,226,164,451,333,892,205,411,
584,045,469,363,002,463,179,952,060,093,534,997,534,058,320,479,634,484,833,
340,551,750,643,304,145,113,830,976,726,595,583,049,551,433,252,080,611,920,
078,321,001,701,855,644,836,326,764,822,685,335,812,316,736,382,114,380,895,
510,157,841,615,164,244,929,030,913,326,621,986,862,637,689,904,362,472,902,
331,786,546,486,296,311,907,405,056,482,605,032,903,477,334,679,055,124,481,
494,429,026,689,933,868,978,238,994,565,404,936,543,060,113,927,911,146,573,
882,154,173,541,846,567,899,442,395,968,304,840,282,308,697,919,315,949,298,
144,299,244,988,834,009,966,959,192,367,861,927,611,410,034,487,957,316,558,
507,638,698,944,309,212,990,561,705,342,567,879,160,910,177,756,729,253,106,
645,662,235,584,359,198,252,772,615,719,201,981,926,958,832,515,039,534,948,
949,956,187,026,246,850,289,794,004,969,454,723,641,258,629,084,906,227,194,
795,600,826,294,174,378,716,620,455,234,554,869,892,405,665,910,277,160,787,
471,746,244,713,183,996,359,549,771,731,484,933,008,336,015,051,637,183,279,
446,783,738,304,618,844,399,350,604,621,328,733,987,137,985,520,219,665,599,
142,378,229,466,615,999,474,078,817,991,268,099,446,847,865,988,394,128,983,
259,736,942,217,990,231,756,180,056,045,547,004,022,391,314,627,376,756,962,
955,503,378,897,631,652,734,108,973,953,988,843,530,278,954,720,322,625,392,
029,285,652,765,913,893,668,331,120,234,536,822,120,688,587,660,120,801,692,
489,898,680,615,503,373,346,162,907,144,588,887,063,328,045,084,617,664,700,
786,668,186,872,437,210,111,323,595,469,654,828,785,690,682,429,422,944,152,
190,808,570,533,318,058,721,970,045,588,925,168,081,405,425,473,622,141,993,
449,832,147,282,145,968,893,529,936,738,615,533,438,663,224,501,653,375,163,
618,598,866,696,360,529,407,906,288,211,285,924,845,592,540,984,419,389,160,
828,769,433,195,783,643,033,453,947,839,531,406,788,642,381,518,118,564,175,
448,328,985,134,052,106,461,431,282,988,107,250,094,714,629,530,018,342,020,
952,100,144,167,566,060,729,353,494,744,829,473,164,318,014,892,916,937,279,
364,187,603,976,250,344,622,721,804,782,508,087,322,248,442,483,686,868,133,
597,335,344,105,817,139,160,853,539,143,768,462,938,721,475,193,223,099,279,
104,398,402,749,106,387,865,713,291,742,183,196,944,528,532,082,339,038,889,
311,239,142,698,787,399,806,873,490,608,394,165,790,078,776,140,059,428,129,
569,621,253,114,454,708,817,000,859,805,142,023,127,242,403,833,666,425,583,
248,776,440,676,797,337,487,479,478,204,844,937,672,963,898,957,514,477,060,
802,241,249,047,669,281,603,776,350,404,813,429,640,448,024,386,431,762,191,
303,057,301,636,392,647,558,698,573,096,626,386,984,096,787,234,707,334,007,
246,964,295,892,699,565,095,526,401,984,975,011,232,676,283,267,402,289,270,
518,382,553,149,705,164,132,426,077,408,236,184,863,724,614,417,079,762,023,
199,001,472,472,212,679,069,033,510,024,024,497,557,812,616,279,682,952,054,
461,220,748,987,609,436,793,843,258,547,314,677,069,873,206,314,168,539,950,
927,833,136,294,469,919,455,968,122,150,662,751,065,505,801,479,915,046,677,
169,669,333,214,734,802,302,709,062,719,342,166,617,816,636,488,200,923,263,
991,398,837,962,906,754,201,199,202,922,854,919,268,008,972,437,740,763,632,
864,739,264,806,290,442,768,838,756,413,661,489,646,833,606,465,423,431,444,
074,767,653,664,479,336,091,489,676,149,560,467,435,926,478,760,557,338,651,
746,128,202,742,761,796,848,795,107,001,100,694,764,587,825,768,719,153,937,
036,997,282,665,219,704,141,260,112,540,051,970,096,970,347,429,623,909,610,
101,054,024,966,784,669,991,726,123,047,238,244,075,354,460,434,893,091,475,
159,590,645,029,959,767,853,561,119,034,916,474,261,842,659,850,586,341,179,
362,149,544,825,109,399,366,174,517,768,409,993,375,109,617,916,334,189,057,
853,574,235,651,251,746,323,418,528,300,208,978,251,848,732,642,793,286,703,
586,485,130,857,037,415,904,218,125,571,391,793,110,205,452,364,066,984,106,
059,155,679,658,922,637,286,745,153,059,776,139,608,837,400,568,625,229,910,
098,365,390,827,098,014,782,003,979,107,286,142,857,058,017,518,757,148,584,
170,700,515,210,842,810,708,831,795,572,212,891,209,231,402,777,458,452,472,
419,754,352,492,167,930,613,732,615,090,043,025,585,392,585,938,409,578,504,
128,584,569,481,540,829,644,874,995,227,230,383,869,624,975,291,553,038,865,
956,969,570,357,876,356,327,992,915,037,187,199,695,087,859,542,329,434,033,
018,100,278,451,496,999,175,802,853,529,116,082,776,927,026,734,693,408,916,
491,096,859,317,568,654,849,617,220,051,084,971,286,962,430,468,356,899,241,
306,751,121,662,690,999,133,419,351,321,837,575,656,400,829,384,290,642,520,
930,029,076,123,449,981,732,732,290,329,252,481,959,676,121,875,523,750,716,
685,962,181,181,176,484,494,453,764,936,744,003,993,461,579,005,876,815,072,
918,933,861,958,615,096,726,900,636,992,534,812,316,553,430,516,422,173,829,
095,758,410,439,161,272,954,087,210,986,894,823,727,308,580,603,727,543,540,
058,694,980,409,156,956,086,303,719,247,887,544,078,171,371,663,106,834,249,
785,940,797,771,771,863,042,679,284,855,367,816,982,518,385,371,225,391,374,
135,477,373,039,152,649,222,095,880,180,265,613,520,214,894,616,280,664,150,
324,930,556,450,042,470,825,289,489,800,809,167,572,187,057,816,082,232,592,
400,137,453,977,300,344,629,738,243,706,084,881,698,384,213,586,169,673,499,
801,518,820,627,878,793,634,265,262,373,423,408,476,963,135,854,309,492,973,
301,271,494,428,458,994,901,074,133,219,616,815,783,193,499,369,044,057,677,
365,633,781,671,466,105,076,679,421,349,186,244,982,412,322,406,016,306,494,
420,159,083,293,475,723,806,694,540,273,427,265,083,629,143,483,891,424,716,
239,449,637,064,977,741,159,879,375,783,575,961,405,392,987,567,903,211,005,
385,679,372,403,437,696,760,637,211,399,998,101,323,594,581,864,572,577,014,
417,794,443,898,557,497,620,785,879,664,270,110,093,582,908,288,165,936,311,
576,692,138,635,553,752,230,907,771,471,874,960,984,950,101,690,112,000,008,
464,219,373,299,672,543,127,298,489,973,658,812,574,493,807,332,478,939,856,
806,683,998,026,810,233,689,094,484,944,792,291,443,808,489,902,638,941,744,
259,638,906,294,111,647,640,920,495,745,409,567,068,279,910,568,910,459,729,
305,936,862,145,791,867,017,319,780,976,129,045,657,440,537,048,323,061,366,
276,946,861,310,943,548,888,743,428,894,697,760,164,886,397,948,784,957,500,
166,985,793,969,154,263,529,829,261,772,999,599,371,361,430,391,794,358,769,
790,573,293,950,608,832,997,882,361,539,727,228,556,737,121,306,256,846,271,
978,958,977,441,663,528,290,972,762,497,137,454,028,637,896,961,741,341,852,
919,579,612,990,525,903,723,105,306,166,207,021,439,193,017,513,945,440,328,
130,438,185,412,089,192,524,156,959,357,650,854,269,987,660,064,385,025,378,
769,298,306,652,114,407,362,236,363,468,758,326,692,961,235,737,714,457,955,
669,097,515,856,555,528,809,405,641,672,526,036,379,367,132,965,788,640,878,
685,697,539,512,421,081,337,872,421,804,830,121,590,413,940,655,323,066,730,
671,629,275,281,873,578,260,304,061,604,563,027,772,687,758,283,540,350,299,
244,559,426,592,648,580,770,401,798,362,917,443,676,006,193,405,958,928,650,
748,847,660,356,322,037,471,625,766,874,562,460,072,925,653,518,668,668,031,
292,018,528,994,716,318,413,868,730,145,327,980,748,748,520,726,028,302,573,
341,902,315,384,301,340,523,370,673,032,556,330,089,263,908,361,141,550,536,
489,090,972,933,877,704,090,648,498,176,811,515,308,560,661,846,870,548,088,
160,594,828,546,327,242,388,957,223,218,867,877,110,168,309,908,169,680,874,
409,871,700,757,498,089,820,478,086,525,248,804,364,561,562,273,796,645,969,
469,346,145,798,991,007,682,017,025,919,208,254,391,427,807,937,616,099,472,
801,626,503,104,025,606,240,617,427,676,371,101,582,969,628,757,424,354,678,
790,495,199,877,323,368,179,104,064,151,436,273,777,572,761,231,963,331,423,
087,920,542,592,920,922,951,028,913,431,044,465,503,639,413,483,376,440,287,
996,775,245,978,033,769,057,054,351,308,727,138,111,633,913,665,545,333,995,
726,168,382,127,982,935,655,455,585,318,581,746,189,282,783,616,162,208,856,
132,623,384,374,140,731,073,216,475,916,690,538,854,176,485,005,571,598,690,
602,738,049,017,233,457,039,545,109,226,302,751,814,206,115,044,597,770,599,
818,963,373,390,167,707,226,005,598,373,217,728,551,867,565,367,823,072,669,
218,882,701,791,516,458,395,081,091,634,781,106,191,147,849,710,281,975,486,
128,384,806,285,936,011,411,501,659,340,152,476,568,984,491,483,551,899,832,
758,482,068,520,494,174,872,559,648,359,132,149,311,695,754,709,089,976,777,
551,503,345,310,661,803,120,254,155,778,156,791,597,889,759,492,030,954,659,
555,744,976,807,822,181,151,995,622,794,592,536,676,421,279,820,560,041,864,
030,206,858,669,734,699,737,525,693,917,140,779,929,170,409,640,759,150,201,
972,815,143,180,412,444,084,100,082,745,670,066,420,061,215,306,022,137,943,
137,132,439,360,561,303,547,432,205,831,356,854,648,498,182,985,703,795,468,
958,892,265,318,149,638,104,495,288,111,325,997,706,318,995,820,236,218,739,
778,863,732,463,614,648,551,296,764,834,009,641,269,019,852,549,772,280,336,
738,567,479,639,748,781,790,327,229,287,267,837,090,841,538,450,267,028,682,
488,429,881,052,255,750,931,232,784,187,593,214,070,492,061,691,923,905,687,
326,527,483,430,176,893,031,494,171,622,881,364,734,118,737,633,397,144,148,
935,179,234,072,272,569,174,697,076,322,639,840,448,064,841,935,817,252,246,
380,097,594,915,887,731,379,405,422,339,050,296,238,601,406,125,159,436,591,
100,572,109,272,265,376,857,779,229,410,851,294,527,793,575,565,147,632,443,
383,095,806,194,166,638,525,370,150,552,273,327,253,547,553,636,170,823,060,
366,774,613,889,508,080,998,396,873,970,465,162,018,158,626,325,270,311,278,
478,293,241,029,349,190,305,099,254,785,566,434,546,074,285,968,200,568,949,
900,321,407,964,102,573,684,513,566,262,946,332,061,554,079,955,284,048,317,
954,806,028,000,492,714,970,824,527,979,647,283,900,897,372,530,714,405,443,
310,178,498,529,636,675,780,085,240,357,806,058,404,118,146,488,923,918,391,
010,414,544,759,822,567,828,057,599,079,441,024,542,444,559,455,991,589,882,
001,010,728,035,828,246,215,880,524,600,896,713,728,401,275,636,636,929,801,
299,730,931,680,321,574,052,577,538,261,176,123,477,293,040,002,298,416,687,
448,506,855,394,868,348,156,279,663,185,540,583,771,167,180,081,894,710,575,
318,858,635,688,302,997,756,459,114,145,493,691,448,912,231,645,592,933,688,
357,088,278,476,020,641,508,468,378,696,303,723,797,557,551,435,188,041,287,
793,364,071,755,111,280,157,544,489,678,980,190,651,577,978,566,320,735,511,
933,471,557,920,361,746,052,050,374,145,004,296,833,336,073,902,367,814,252,
380,681,006,578,271,924,703,467,624,166,427,811,191,087,084,127,302,385,865,
170,492,385,039,567,891,184,381,056,352,037,807,561,934,482,031,199,791,974,
531,343,687,132,268,105,727,490,800,389,032,254,169,999,326,747,031,709,718,
751,323,694,693,677,167,355,980,011,786,367,797,231,588,721,008,401,724,004,
372,114,680,450,600,050,785,913,111,560,073,022,205,540,376,542,270,010,404,
509,770,246,356,051,670,267,388,169,156,926,683,880,467,955,546,533,990,573,
002,573,676,869,756,479,519,050,576,318,492,088,634,800,512,799,350,980,727,
965,366,049,069,242,189,231,454,458,057,207,496,753,543,942,318,609,215,502,
587,724,386,233,478,939,178,708,629,968,465,923,733,963,638,085,111,936,345,
954,607,955,899,940,743,602,316,918,085,756,822,121,126,256,463,372,985,356,
406,023,850,735,940,757,770,911,299,226,072,180,232,786,026,043,915,062,202,
781,701,797,241,941,974,319,844,753,973,598,835,607,899,088,620,494,990,392,
596,288,497,262,853,825,742,362,465,056,386,301,835,062,729,916,617,801,843,
895,883,388,404,782,399,317,815,816,365,677,209,522,820,768,652,878,331,042,
886,976,873,263,759,650,403,987,635,595,665,236,984,155,185,595,537,339,440,
767,713,601,032,759,684,511,635,202,082,522,759,189,311,814,004,602,339,396,
207,690,769,711,268,446,754,556,198,936,616,905,951,519,890,616,821,099,229,
456,678,401,435,489,646,630,035,783,002,088,028,906,331,981,350,442,162,707,
755,155,746,587,825,981,298,742,348,794,991,229,868,583,932,567,340,954,917,
214,020,156,546,940,930,951,871,475,093,017,923,949,459,962,653,796,626,624,
468,746,311,380,348,624,943,104,528,506,743,158,322,743,307,285,788,188,693,
482,031,032,846,233,359,071,392,001,841,350,490,753,731,817,380,478,653,964,
922,474,457,394,219,800,806,393,872,948,015,676,968,938,604,008,967,827,052,
958,676,300,239,263,025,414,901,590,119,979,962,849,830,120,331,934,547,135,
990,669,591,247,269,075,364,930,016,572,711,136,181,044,761,281,699,803,711,
924,437,551,087,318,353,688,414,641,526,286,365,752,085,559,679,923,262,560,
938,472,588,170,328,033,372,827,248,844,990,608,655,192,328,816,296,765,835,
941,086,259,542,733,453,661,436,555,892,936,430,334,072,654,693,318,581,858,
619,737,589,121,941,335,033,575,978,981,237,095,230,320,093,351,051,261,562,
796,059,891,310,362,894,803,612,246,797,639,761,518,195,241,392,133,755,156,
515,442,178,485,765,991,615,641,436,523,286,045,639,941,030,408,322,355,662,
791,161,157,019,022,237,846,473,478,653,184,600,902,404,057,796,595,223,785,
349,720,821,031,052,400,935,274,669,986,457,924,062,294,298,629,917,753,071,
185,513,563,367,088,262,458,730,782,737,142,519,867,285,552,564,126,112,545,
245,077,887,250,757,023,328,517,099,156,011,789,751,553,507,113,182,287,392,
815,757,167,928,467,702,261,315,573,838,141,534,939,680,698,186,651,638,294,
430,065,272,414,089,030,458,111,088,069,389,662,013,018,850,378,469,448,175,
728,471,042,257,337,501,543,341,316,490,054,096,984,974,228,018,852,856,207,
877,685,611,348,752,509,263,428,036,002,755,799,223,375,403,429,490,037,886,
719,633,882,613,514,439,582,959,261,584,669,134,366,849,090,497,017,761,403,
129,705,716,265,284,360,662,034,170,326,655,052,178,695,775,405,924,033,846,
518,257,805,834,381,301,182,410,705,594,275,828,826,925,316,542,394,140,309,
922,404,974,973,395,121,952,192,572,914,402,695,066,501,240,315,078,027,565,
464,222,564,747,644,892,031,782,596,839,834,257,856,368,607,731,077,953,344,
591,889,023,124,288,549,059,047,993,341,092,358,722,658,140,786,188,491,877,
132,850,097,180,399,044,569,819,244,030,272,214,705,587,185,185,919,851,939,
253,159,418,028,228,874,686,212,985,690,236,399,416,158,931,029,241,636,864,
414,014,946,754,517,155,886,841,763,395,542,760,926,444,197,602,389,864,013,
085,322,358,507,541,615,049,163,141,606,397,220,179,621,430,528,318,175,654,
503,651,513,869,933,555,155,192,648,368,174,345,793,361,445,988,904,312,037,
127,802,726,332,325,853,223,018,282,278,399,730,822,418,448,246,875,409,014,
653,932,125,706,031,103,933,488,361,554,183,866,751,407,680,486,394,483,490,
257,602,681,452,500,855,135,077,701,863,708,097,093,548,085,639,386,292,570,
657,351,751,932,569,398,662,147,642,563,817,849,700,331,854,747,238,501,757,
382,603,799,054,016,655,838,976,690,558,936,537,376,838,220,845,851,600,458,
808,884,171,369,920,690,305,406,459,394,982,362,480,999,373,562,056,106,010,
036,564,796,038,587,334,016,268,757,997,319,781,026,364,497,202,936,765,522,
860,056,654,694,032,226,909,638,816,333,230,821,610,166,594,198,394,590,981,
405,494,433,777,852,343,317,800,024,906,955,430,463,055,671,420,449,845,068,
200,154,653,851,736,715,309,532,490,773,011,182,883,157,236,386,220,018,296,
222,722,826,188,329,796,136,790,308,540,935,512,085,328,209,746,476,438,998,
682,511,069,777,177,782,259,696,946,550,471,363,463,890,255,919,845,484,516,
015,899,801,959,517,666,491,411,016,756,893,352,752,505,119,431,118,897,038,
321,464,003,294,879,412,212,625,899,130,155,542,956,778,449,586,087,293,420,
913,239,191,181,505,457,109,954,280,974,282,214,585,636,520,083,900,920,704,
789,992,104,406,584,066,474,887,835,763,313,374,983,253,264,301,824,749,507,
173,313,453,209,914,629,588,480,108,731,037,564,624,111,447,546,854,084,473,
453,421,790,295,033,712,500,769,182,008,410,991,383,173,047,457,642,404,398,
843,151,965,921,683,510,306,837,899,762,155,533,414,352,222,047,921,779,300,
442,570,766,141,985,541,350,967,776,838,249,602,124,149,355,454,530,737,674,
617,353,461,534,963,178,166,906,697,007,129,907,231,577,265,190,523,730,313,
225,028,003,257,765,039,806,537,940,547,844,281,837,537,853,590,739,292,089,
322,687,355,798,280,990,213,432,713,237,108,263,833,827,720,592,319,306,671,
302,076,647,267,349,301,218,259,763,877,327,163,264,213,549,620,130,684,215,
871,309,296,546,623,249,519,365,519,581,034,828,375,752,865,173,375,904,434,
665,955,416,827,556,857,635,718,455,864,476,320,285,177,184,201,392,731,638,
582,855,484,951,400,669,053,324,086,609,628,641,457,450,194,179,011,043,693,
570,596,205,569,555,099,295,456,840,491,869,401,477,572,810,559,075,651,521,
523,685,007,906,326,693,627,279,615,767,772,982,150,984,531,229,928,814,220,
257,264,786,967,209,844,379,235,117,540,357,345,775,969,232,916,491,527,138,
692,136,850,189,709,965,408,992,576,094,224,281,951,872,051,525,549,859,248,
095,884,662,958,140,506,170,419,188,070,301,414,056,762,225,570,584,509,432,
862,297,043,978,992,711,916,366,054,421,798,321,439,713,768,443,122,205,852,
647,861,219,497,023,916,954,966,709,120,292,299,989,751,333,381,806,715,274,
848,682,291,680,010,643,014,349,646,668,619,257,967,414,258,432,934,513,008,
832,765,434,028,604,648,833,407,070,836,556,247,506,526,807,674,744,445,120,
550,091,021,666,811,518,386,841,333,170,992,936,825,136,719,129,451,387,549,
389,819,714,227,561,383,842,237,261,034,029,357,053,802,678,828,854,021,013,
546,931,131,751,663,709,405,734,374,827,362,050,292,452,869,479,782,724,217,
977,015,901,316,403,343,609,497,877,936,718,314,933,648,194,065,829,988,632,
260,637,470,408,455,540,024,127,275,478,527,436,228,183,520,244,190,966,450,
667,713,822,903,332,495,003,371,902,081,621,647,523,126,468,007,473,134,676,
349,221,188,717,040,883,103,556,993,120,651,161,587,133,637,537,696,676,200,
608,256,750,465,903,115,482,127,729,392,732,906,923,005,935,940,764,948,426,
702,834,764,137,345,468,789,927,463,791,374,783,304,777,875,175,424,318,592,
991,209,715,478,712,980,701,307,769,274,258,537,607,167,498,437,301,936,142,
430,326,467,424,189,789,032,275,969,496,769,820,865,992,244,757,715,954,056,
287,998,294,337,157,718,504,980,582,859,928,583,369,646,516,885,508,292,801,
329,247,927,316,754,637,962,381,007,509,019,254,863,409,881,074,260,012,270,
324,326,472,455,997,948,202,214,627,216,332,552,100,636,593,582,365,531,229,
856,993,794,119,980,397,721,369,279,552,005,777,890,874,667,084,771,534,278,
629,692,925,572,348,379,391,446,895,025,633,384,015,626,045,042,738,372,783,
910,039,414,166,705,730,533,283,689,646,570,502,947,137,212,107,503,183,648,
139,920,945,455,483,964,690,072,304,369,585,431,944,675,750,304,397,854,593,
074,968,006,275,448,548,427,799,806,147,940,478,134,632,205,336,584,024,564,
032,150,554,334,897,132,455,776,008,208,739,504,511,952,311,058,328,203,874,
634,667,801,823,698,854,819,431,553,770,604,804,097,158,432,777,726,174,511,
323,923,776,273,892,260,112,580,623,028,796,050,404,060,366,904,873,338,134,
221,720,170,101,845,254,815,869,628,512,816,837,434,454,139,116,616,041,005,
681,960,410,641,702,715,985,789,982,120,104,755,437,916,872,594,791,705,068,
408,816,171,295,652,462,492,876,597,682,388,129,646,247,326,916,072,087,539,
463,381,964,887,434,463,744,493,113,720,387,470,763,407,450,961,239,698,959,
176,795,045,190,565,422,127,222,966,394,432,326,401,090,336,138,085,450,982,
321,782,126,150,438,318,491,656,813,648,814,580,419,133,312,568,932,147,178,
319,591,486,732,684,428,454,597,385,643,585,742,383,434,932,605,951,143,475,
877,282,733,256,851,005,604,134,768,255,690,537,560,985,429,000,339,006,113,
132,712,558,147,916,005,671,990,328,438,385,849,580,250,346,838,663,748,393,
669,924,541,509,762,981,098,620,422,999,568,521,019,559,132,758,546,482,515,
635,748,029,508,586,377,500,757,717,660,151,268,918,018,952,400,673,897,223,
776,796,871,091,251,412,250,696,464,771,053,563,344,372,977,694,101,499,537,
820,680,962,651,349,203,805,403,166,282,902,191,961,031,503,416,416,300,689,
491,973,600,296,103,954,283,013,308,634,697,108,174,730,694,824,002,059,070,
178,218,638,525,472,195,723,592,426,181,260,244,621,149,996,851,812,097,628,
364,692,747,969,983,710,720,892,345,589,642,525,190,816,753,146,067,544,078,
911,444,355,577,019,648,571,398,465,438,325,710,360,687,528,299,986,864,797,
471,296,276,760,882,271,732,902,116,252,313,227,038,745,739,711,261,203,966,
191,009,388,084,437,553,634,775,576,785,590,412,427,401,848,621,056,414,289,
697,426,883,137,846,213,932,103,727,354,057,828,501,827,003,287,389,626,544,
357,713,892,845,915,769,745,565,864,428,110,195,832,074,115,794,658,482,373,
252,680,406,662,761,987,984,195,866,348,804,267,823,367,415,195,335,823,350,
891,576,817,635,248,808,319,853,777,290,714,667,185,204,594,707,297,736,135,
720,163,452,896,290,142,983,671,411,739,448,626,380,027,623,650,998,244,880,
591,949,291,073,191,768,290,702,839,879,653,303,938,210,391,402,510,031,244,
062,123,139,494,377,367,762,962,449,166,086,028,551,650,236,927,504,349,486,
831,984,526,733,143,706,563,143,671,580,870,141,941,425,617,433,181,751,028,
395,901,530,633,039,156,589,631,849,326,886,863,650,663,810,149,634,534,101,
031,114,539,246,520,697,714,036,439,915,008,239,613,286,602,197,641,240,190,
166,830,489,214,130,580,951,630,114,261,100,178,597,685,446,288,837,348,358,
749,574,940,106,466,079,912,418,052,064,381,477,849,585,715,002,335,797,724,
394,538,250,947,625,709,922,171,071,750,606,041,657,624,540,383,237,439,361,
384,348,498,601,612,998,092,902,206,819,559,502,546,752,034,048,869,567,101,
767,095,048,263,647,462,887,390,916,355,545,812,910,968,919,740,149,153,916,
384,161,352,335,255,230,187,055,626,054,519,357,708,213,182,376,186,817,546,
895,743,591,680,420,604,452,608,892,933,870,646,661,583,378,430,197,088,641,
816,790,976,767,327,587,359,440,010,037,932,606,079,225,806,277,713,462,460,
920,831,762,638,154,273,501,928,900,918,323,425,126,170,417,847,994,983,854,
804,554,041,438,482,021,883,414,189,689,230,960,918,382,429,911,876,896,926,
968,944,493,009,880,243,252,783,426,099,241,682,900,725,951,981,189,915,262,
632,427,026,747,054,038,437,879,684,310,684,441,893,411,348,141,862,655,862,
466,760,338,664,613,990,136,561,501,073,373,729,894,710,671,302,440,967,808,
424,161,589,172,711,563,539,673,540,965,764,535,280,809,632,383,440,654,399,
529,286,201,195,984,706,894,615,882,751,557,258,479,218,476,910,598,820,942,
977,516,768,753,717,161,964,899,464,689,880,086,936,334,456,407,941,086,009,
773,838,022,950,006,170,339,840,020,758,830,480,178,804,797,920,216,886,451,
302,075,484,546,525,277,632,771,846,892,035,740,009,048,774,907,284,240,989,
364,541,530,204,035,386,879,479,334,637,828,885,902,052,941,235,504,564,408,
095,592,253,993,191,771,297,765,817,734,301,180,039,895,423,177,943,818,931,
789,601,245,831,217,202,096,120,038,795,884,110,648,961,000,665,014,497,800,
744,504,341,262,881,278,222,690,684,605,037,097,881,755,335,223,324,397,789,
161,107,389,040,229,124,415,924,852,495,179,592,920,593,809,357,929,849,979,
096,322,954,285,867,151,239,876,609,834,424,936,241,205,078,054,043,532,857,
611,389,934,273,695,039,306,509,195,642,155,461,316,446,609,447,151,647,969,
968,883,956,567,475,269,729,943,169,310,804,874,935,618,237,991,057,217,201,
567,485,881,517,849,459,496,905,364,137,311,964,173,994,924,051,358,836,040,
650,503,858,863,106,177,324,050,211,209,759,175,372,449,980,496,129,403,360,
667,705,892,571,196,049,221,033,929,208,734,248,613,675,773,830,990,493,045,
464,283,131,122,848,271,370,557,830,625,099,795,843,461,714,105,611,106,318,
201,970,235,831,843,143,989,599,130,580,852,468,336,156,003,568,365,471,952,
302,218,226,679,702,563,440,782,806,950,234,241,660,512,946,895,482,942,244,
649,805,110,388,750,479,751,834,966,209,476,628,333,351,149,380,929,363,132,
729,782,345,645,382,952,526,870,644,035,402,473,424,687,685,131,149,442,359,
849,482,634,919,540,652,131,672,668,047,312,443,467,365,665,505,714,549,212,
085,112,692,119,842,933,407,498,752,193,428,661,221,817,943,676,359,342,558,
356,689,689,949,532,210,056,811,686,235,648,061,161,322,871,390,400,280,899,
989,701,582,264,206,775,491,390,442,368,921,131,238,310,295,769,497,435,564,
597,441,567,587,994,661,208,941,863,239,774,608,178,228,126,718,915,321,597,
495,311,611,504,436,724,401,875,596,418,434,265,931,276,518,895,429,661,765,
671,807,273,366,821,600,882,020,552,858,936,991,210,454,319,076,336,644,994,
342,725,391,635,558,515,334,033,130,351,338,898,511,607,953,886,431,574,351,
548,191,051,223,439,861,828,292,546,919,487,143,009,498,864,526,564,682,713,
840,568,335,603,369,290,392,149,896,504,944,075,201,130,660,615,996,324,192,
985,863,778,911,603,868,950,241,731,260,270,696,106,531,232,639,645,766,730,
382,823,451,810,482,235,574,061,473,558,562,400,551,054,211,763,226,929,020,
693,573,766,093,815,175,303,836,055,573,026,164,971,031,054,698,931,636,531,
233,829,416,778,012,255,440,392,891,617,989,637,227,475,349,712,528,219,627,
313,609,558,258,698,168,630,349,233,906,980,115,240,692,533,936,213,416,511,
223,424,231,441,594,367,219,556,709,491,042,530,208,382,409,915,818,577,013,
755,230,786,480,162,639,773,951,920,069,885,647,425,604,059,659,192,489,977,
333,162,492,667,855,172,105,034,508,849,806,167,787,304,862,894,715,741,812,
798,389,351,382,557,467,785,114,543,908,821,805,275,607,091,960,686,123,145,
492,272,613,974,128,423,204,927,635,321,097,821,061,659,091,311,999,882,882,
987,577,950,499,381,810,469,164,554,112,549,968,365,257,714,649,913,061,736,
236,146,004,470,194,535,417,091,973,818,577,372,851,414,098,308,186,228,747,
181,471,675,434,759,768,826,403,858,905,682,183,668,179,529,827,927,536,333,
084,428,611,838,393,722,048,388,850,015,752,926,657,017,577,572,426,180,915,
508,994,931,480,524,376,006,996,982,294,677,863,093,760,007,264,669,864,296,
840,453,632,241,252,893,861,966,826,218,211,194,967,233,964,806,045,417,676,
276,150,159,909,324,173,209,971,278,554,748,777,638,807,409,723,118,451,230,
907,019,188,348,315,130,663,560,979,302,212,573,230,526,885,978,058,277,659,
803,819,068,233,730,983,372,914,401,494,161,936,252,394,138,976,450,436,220,
829,087,648,886,925,835,536,858,536,122,112,446,258,094,225,129,054,251,849,
958,012,858,908,018,623,092,212,290,544,343,368,673,392,969,373,241,536,967,
072,130,271,323,007,187,263,706,165,443,227,085,496,866,959,262,983,441,408,
788,263,654,972,209,995,004,488,877,139,351,167,621,322,244,256,900,658,177,
890,312,541,590,880,251,707,192,300,154,097,003,108,727,370,567,173,455,915,
759,326,408,883,984,534,666,503,680,480,058,572,707,101,056,014,278,270,087,
029,378,864,029,522,877,084,358,403,098,713,568,787,008,001,624,939,776,461,
637,664,885,721,667,647,547,322,452,603,696,966,528,843,725,144,036,405,251,
266,577,277,249,787,522,604,899,334,270,131,428,300,253,227,757,461,860,959,
103,747,810,048,395,399,230,303,052,512,262,305,441,669,694,955,912,545,887,
582,285,312,443,376,282,389,462,550,560,391,962,924,763,126,642,229,022,693,
401,003,989,886,707,459,721,265,955,589,480,447,190,123,669,367,884,014,505,
580,972,488,258,696,158,138,249,581,444,425,499,169,292,808,410,663,834,844,
634,912,303,829,212,777,330,378,162,120,913,080,115,330,396,361,414,411,135,
408,582,646,377,499,617,092,406,915,943,929,732,218,871,512,884,906,181,109,
500,137,803,550,447,588,026,747,469,874,513,005,683,115,138,448,854,534,149,
337,253,743,529,371,531,953,776,026,148,977,849,180,753,610,425,003,837,331,
248,152,732,600,491,114,292,904,480,306,246,044,050,352,363,006,097,368,213,
240,644,165,237,374,940,240,529,312,523,683,265,182,112,428,934,089,911,729,
422,504,508,160,789,858,617,808,779,272,903,094,115,170,982,911,478,877,122,
544,124,934,330,392,057,167,413,747,963,608,179,883,721,364,891,411,111,111,
498,446,509,924,672,934,525,157,490,899,968,257,632,841,689,511,438,411,705,
857,318,801,983,472,320,532,337,170,937,654,691,564,608,909,855,622,258,823,
977,167,694,448,694,171,492,715,908,874,149,522,981,679,667,464,504,887,520,
203,191,455,384,211,167,351,944,132,383,424,746,786,062,795,823,511,921,754,
167,974,565,577,659,462,372,282,250,300,648,648,821,167,429,841,490,214,199,
904,753,423,915,385,231,228,241,245,351,815,566,160,875,785,445,245,084,134,
592,378,606,980,200,821,375,105,345,158,834,164,192,139,669,026,685,103,196,
139,998,347,106,735,965,824,537,056,280,436,670,164,130,514,529,518,224,844,
442,517,810,158,108,645,976,915,571,869,836,599,661,948,190,516,110,442,732,
587,355,135,117,278,369,877,524,943,229,295,645,185,717,256,473,492,412,553,
122,218,393,593,082,477,094,271,746,628,638,482,231,294,504,640,779,276,083,
987,377,966,875,841,118,758,291,210,495,655,982,770,386,930,239,072,988,439,
124,287,634,058,892,480,911,295,360,828,868,156,817,771,804,750,059,388,647,
350,787,207,006,621,829,564,821,371,747,216,219,783,963,705,681,999,535,721,
554,180,388,715,405,525,143,391,934,347,279,940,530,284,148,729,036,663,041,
826,664,274,689,877,278,533,615,851,156,959,389,929,006,325,219,508,407,304,
036,373,287,177,109,066,486,911,850,186,475,917,919,348,652,786,097,759,000,
250,699,593,048,125,469,822,803,306,912,195,435,044,126,058,594,665,853,848,
829,208,517,764,852,354,335,543,958,974,617,075,663,245,211,410,709,113,881,
575,132,642,431,260,576,144,596,927,546,347,258,533,331,145,294,459,006,520,
569,424,842,253,132,197,573,095,041,295,699,231,687,312,618,677,202,789,162,
650,306,829,726,293,641,265,899,933,689,023,809,214,623,021,326,773,124,555,
299,193,905,290,913,906,522,686,525,964,348,079,112,539,712,079,788,517,908,
992,414,170,732,291,631,536,589,251,550,527,976,390,474,282,694,752,872,320,
247,937,030,811,851,431,890,149,311,254,511,090,808,531,211,232,370,029,367,
399,762,972,742,387,509,773,511,678,887,323,615,691,607,106,559,058,470,955,
080,306,908,764,696,152,273,559,613,493,107,376,825,353,109,152,462,480,951,
793,627,307,174,543,261,454,483,236,505,462,859,049,616,082,165,326,902,141,
453,893,703,679,246,919,148,109,050,392,653,960,577,792,108,463,976,648,888,
619,410,707,063,784,592,734,063,135,639,198,379,356,398,105,182,912,201,783,
986,776,017,985,853,762,895,818,414,225,887,821,925,429,067,049,170,590,374,
848,180,518,796,740,989,573,877,472,678,457,390,749,239,719,245,756,670,422,
168,284,727,526,367,457,760,989,248,463,847,295,039,349,941,730,443,740,965,
098,738,799,489,376,023,514,680,055,687,300,040,522,350,618,008,388,083,059,
280,222,086,427,469,668,880,909,325,493,723,331,667,522,978,377,083,645,319,
657,283,251,352,150,767,237,136,355,358,089,638,581,490,924,384,485,761,973,
953,375,110,995,810,891,874,216,506,157,606,614,017,538,907,309,178,261,873,
345,419,047,854,204,573,287,547,264,837,844,321,627,393,329,375,903,147,218,
244,775,881,349,240,143,013,035,132,731,505,046,153,930,062,178,292,867,770,
120,828,941,807,992,598,805,411,475,845,862,883,101,698,616,577,290,307,151,
204,028,267,306,416,107,597,007,524,187,334,074,446,411,397,813,121,476,775,
353,820,088,488,563,413,972,962,244,386,965,938,219,245,506,053,595,567,047,
285,401,538,739,249,391,478,223,170,074,745,681,931,762,638,675,055,988,709,
130,258,996,079,037,184,692,012,543,563,884,943,673,842,175,836,435,689,261,
779,392,794,750,935,749,584,951,176,525,773,146,260,270,514,533,265,785,372,
802,842,558,030,547,350,644,148,172,801,572,217,488,998,008,108,391,043,291,
866,567,681,393,117,858,323,111,478,893,638,826,731,735,045,603,221,080,302,
732,194,955,053,727,502,072,270,209,860,913,020,998,545,925,544,257,200,677,
778,621,983,833,616,675,757,623,117,384,290,258,675,889,467,995,106,002,944,
943,848,914,835,200,723,140,702,707,744,986,463,740,202,900,214,784,877,739,
531,876,322,162,429,506,991,260,152,837,685,570,898,196,104,115,543,022,500,
931,611,059,495,926,473,832,590,510,853,612,980,389,547,107,268,995,492,890,
211,378,434,953,645,152,827,744,789,077,850,826,882,253,029,420,622,976,688,
524,794,975,840,060,601,385,386,492,887,054,053,522,227,960,516,720,283,982,
491,398,863,947,767,897,398,769,154,457,739,883,353,339,795,995,951,175,770,
342,101,955,223,340,147,090,205,340,006,841,881,285,785,839,786,627,212,176,
205,666,636,981,787,280,430,192,678,153,318,259,115,673,977,914,010,250,154,
464,196,722,409,079,757,557,265,140,899,329,279,734,066,806,680,440,406,915,
664,419,512,471,577,602,191,393,806,885,008,569,636,825,910,257,178,222,390,
634,796,193,935,022,483,595,885,053,017,453,154,982,091,969,354,570,323,017,
294,335,364,003,498,708,683,337,983,522,357,174,772,873,181,034,572,614,987,
379,949,358,347,421,498,996,485,589,361,232,608,079,282,656,043,271,970,958,
621,481,591,061,254,606,957,369,598,102,438,622,459,791,861,107,521,456,304,
859,428,608,780,650,597,442,196,214,420,832,333,516,898,607,198,186,330,233,
688,553,843,359,649,107,119,870,448,325,627,667,775,170,070,803,932,356,410,
224,001,621,039,816,560,934,122,759,462,675,032,733,407,489,404,999,572,694,
471,354,578,063,434,281,372,002,956,166,976,791,836,383,669,620,609,104,987,
473,280,884,354,708,069,465,077,500,647,957,131,096,433,070,203,510,497,742,
967,145,329,168,680,258,598,046,014,895,762,189,096,020,960,402,065,731,734,
484,309,827,723,937,761,758,587,853,651,176,653,762,653,105,543,870,866,691,
864,782,666,382,891,850,146,028,501,751,168,312,077,931,250,359,751,726,756,
540,504,883,490,374,290,215,943,472,091,544,429,249,756,522,451,282,807,404,
384,059,519,155,372,602,313,626,196,484,539,949,717,163,441,221,831,277,360,
406,630,903,590,967,235,053,214,565,529,384,028,287,799,363,137,139,049,485,
187,032,226,024,419,635,071,040,326,917,375,920,132,149,081,844,307,020,726,
518,609,843,814,767,165,098,418,745,624,838,810,365,351,902,353,432,186,248,
988,921,104,420,976,686,581,619,591,236,360,828,818,247,066,823,049,470,787,
827,950,863,292,898,390,611,119,057,590,285,616,415,735,831,727,556,922,947,
429,265,198,455,033,662,162,023,731,383,062,024,200,792,232,207,686,467,348,
505,234,940,613,166,995,767,130,806,826,566,827,052,248,240,195,056,133,570,
497,084,421,250,886,833,419,396,741,702,111,199,197,594,970,999,335,173,013,
368,382,029,933,047,695,289,896,422,585,813,082,209,665,866,850,332,256,282,
327,639,226,139,172,112,820,361,015,409,542,441,628,475,404,496,433,641,432,
308,285,784,908,206,929,863,666,525,425,009,292,791,430,653,378,592,586,683,
895,761,409,787,686,731,820,187,351,205,598,537,370,096,241,031,148,090,604,
641,799,772,531,340,328,049,475,885,221,222,871,375,724,867,873,330,901,771,
967,831,300,202,819,064,410,182,327,006,067,936,682,406,451,452,759,568,924,
381,554,274,449,512,303,839,040,432,156,256,175,158,652,246,410,311,727,916,
641,821,175,465,336,404,063,764,149,517,646,612,098,821,700,976,143,203,988,
650,415,581,094,895,579,285,888,674,628,168,060,422,823,196,152,837,171,653,
530,572,652,144,232,063,359,047,934,547,714,457,709,961,732,317,191,455,325,
147,968,920,250,687,160,882,571,732,951,178,512,177,685,037,832,441,971,753,
492,357,224,980,527,576,876,907,257,790,171,677,733,649,032,825,730,703,325,
598,942,976,583,082,998,125,043,694,020,198,821,374,721,163,758,680,209,299,
481,975,984,383,344,243,074,029,509,491,813,043,133,945,437,668,679,503,331,
045,705,828,510,806,131,074,179,191,875,578,507,192,872,202,401,671,241,404,
720,435,739,395,720,394,061,551,792,736,173,557,298,533,249,534,351,409,896,
405,781,907,939,401,283,571,827,775,350,178,742,627,000,391,620,292,121,092,
240,970,886,536,496,268,011,661,809,792,991,386,454,641,113,310,790,005,940,
730,689,869,814,579,323,796,247,701,037,014,796,064,644,869,546,261,573,603,
396,120,583,099,626,604,022,037,482,062,349,575,604,654,639,920,232,010,607,
683,425,883,036,734,159,370,114,733,616,883,776,191,252,218,540,347,399,159,
638,253,865,074,656,003,490,590,187,639,160,114,437,669,838,726,856,626,590,
311,757,444,127,821,609,596,409,892,431,373,617,948,860,828,372,798,424,978,
567,941,483,981,465,808,852,821,296,715,302,390,672,657,380,678,219,725,677,
828,612,810,743,508,177,964,535,473,458,038,495,335,074,868,256,306,479,985,
280,624,146,606,493,372,492,539,045,326,310,158,954,900,010,998,211,716,735,
658,755,202,714,004,290,473,274,434,904,781,118,893,723,440,548,673,683,646,
023,415,021,867,117,144,163,056,411,069,679,786,639,253,352,960,859,532,586,
153,040,512,729,881,408,170,164,806,631,198,625,026,808,876,264,725,527,211,
706,180,027,655,529,706,339,197,326,148,213,903,151,864,600,184,706,516,902,
354,093,184,830,024,531,508,614,116,818,579,402,524,472,963,014,286,105,122,
864,512,986,802,281,497,148,628,761,322,922,654,462,891,715,883,206,371,876,
994,379,872,226,729,244,703,733,704,927,778,856,368,884,871,905,954,322,086,
349,107,391,485,642,886,343,538,750,830,439,545,342,275,198,078,385,051,369,
490,386,388,023,821,896,414,648,755,480,598,686,378,148,930,174,523,919,721,
955,693,417,698,436,168,341,557,538,189,616,760,376,614,410,934,700,590,938,
766,893,576,521,026,773,416,718,787,212,070,641,765,607,068,122,997,982,762,
873,336,386,625,091,770,769,143,938,399,213,249,820,358,807,427,664,619,139,
312,358,438,819,435,105,238,688,451,774,136,705,026,776,923,996,404,719,898,
621,801,168,294,121,853,746,629,189,482,046,556,233,114,215,858,084,156,209,
205,241,040,671,258,075,406,689,714,625,119,434,462,268,996,824,835,518,689,
920,297,583,870,579,920,229,327,650,149,086,639,650,020,640,062,262,226,388,
722,341,950,188,051,046,626,465,620,115,227,813,681,937,877,361,550,971,622,
775,424,693,911,402,101,031,523,445,552,478,719,553,124,022,237,611,473,418,
414,303,428,440,882,977,648,987,784,335,306,962,625,169,529,922,260,839,184,
655,621,027,228,228,629,429,659,559,548,389,194,789,899,164,616,611,826,010,
719,095,067,088,114,885,982,361,387,492,556,560,753,186,436,543,015,794,820,
761,001,541,684,426,061,452,761,844,830,617,931,129,026,311,776,707,900,615,
193,754,363,256,722,185,996,874,252,518,869,503,323,752,919,479,887,391,621,
158,502,078,889,721,472,441,975,206,355,748,406,199,653,661,424,948,323,585,
416,292,452,906,851,285,921,720,054,449,233,285,785,176,083,426,758,900,357,
056,942,121,984,921,147,280,766,014,897,525,431,332,050,304,637,221,855,772,
349,850,941,038,344,202,403,094,551,689,750,189,604,794,863,712,497,980,040,
094,636,749,370,295,382,207,314,614,369,348,567,690,395,926,555,078,613,162,
215,528,026,850,557,986,651,237,180,338,926,690,767,942,415,130,500,011,385,
823,903,169,023,071,418,305,406,345,546,966,417,554,461,362,732,883,899,905,
133,204,769,545,657,399,107,071,216,047,693,984,934,079,740,806,653,281,216,
508,979,397,727,578,755,771,304,326,551,889,948,616,363,614,258,206,298,580,
545,988,897,397,364,174,505,711,356,208,538,532,894,892,700,408,017,812,279,
879,685,815,757,374,650,073,253,681,092,413,416,289,749,648,642,955,383,677,
114,202,672,729,762,088,473,522,546,289,561,268,766,922,793,289,014,156,240,
838,093,393,340,268,619,563,981,868,142,111,161,711,103,370,662,681,157,325,
078,982,275,764,202,889,785,255,602,979,242,750,880,884,549,460,661,891,036,
415,331,596,898,276,748,876,676,104,945,197,002,516,842,508,432,335,374,987,
214,068,304,115,543,802,663,516,003,245,361,436,561,168,505,743,113,934,369,
815,290,222,431,046,891,248,395,762,674,787,743,383,544,555,216,867,212,571,
753,142,496,210,153,462,210,819,785,030,503,089,224,219,818,003,294,307,183,
362,577,498,887,784,556,962,054,868,363,103,702,789,763,994,641,949,922,437,
736,674,532,270,779,007,204,379,731,116,414,613,738,932,502,766,692,501,512,
686,603,513,816,632,513,091,502,715,792,691,791,070,281,420,101,846,420,110,
916,659,705,567,769,665,900,268,829,362,015,401,795,009,841,450,796,404,001,
024,934,557,977,559,474,965,240,884,019,536,909,140,157,498,322,147,616,995,
575,997,140,270,214,080,426,028,306,295,419,897,190,617,261,362,291,525,787,
042,424,909,022,442,092,580,758,412,257,111,398,471,732,347,250,972,854,453,
497,223,220,772,004,180,143,747,646,884,269,280,694,631,391,490,046,449,389,
406,108,874,359,256,088,949,429,731,211,836,586,189,879,812,037,693,394,230,
855,767,852,764,208,351,512,758,686,762,181,202,667,296,086,240,590,411,851,
415,307,050,080,148,143,826,304,107,017,620,118,263,720,016,158,086,353,626,
377,420,051,400,807,684,160,104,353,771,321,632,595,527,131,373,406,293,057,
385,299,929,010,776,024,659,486,351,848,864,740,344,087,351,186,372,814,976,
864,252,087,662,241,262,167,556,828,356,177,529,534,770,545,760,457,204,411,
333,048,160,655,989,841,484,920,685,372,960,517,047,166,826,355,933,562,517,
367,121,724,749,770,863,871,972,776,031,768,742,561,897,807,435,174,538,792,
348,396,304,897,205,283,213,881,457,808,660,003,431,285,257,895,401,112,938,
492,998,075,126,340,688,944,391,526,537,146,869,884,036,424,573,913,910,762,
507,062,245,343,741,071,580,727,046,564,660,620,857,935,825,342,273,695,392,
190,011,889,794,279,922,303,661,893,335,078,196,190,803,020,421,958,055,471,
150,994,188,765,239,138,736,078,657,535,416,885,195,067,404,286,788,712,176,
807,311,777,762,302,185,957,901,022,151,495,902,397,950,589,080,003,852,172,
851,042,243,042,484,183,009,166,530,707,601,431,852,854,468,380,740,918,676,
966,743,211,625,901,029,679,474,985,432,333,401,911,107,262,919,691,459,339,
748,024,069,098,076,484,541,889,997,007,492,192,293,651,068,881,380,559,904,
949,924,455,259,478,476,977,143,404,002,670,108,490,384,221,170,851,699,964,
262,463,259,998,794,206,185,826,945,606,967,519,648,645,529,490,069,973,636,
964,071,464,389,266,568,946,560,096,542,522,341,045,575,981,413,729,664,142,
084,701,982,323,713,402,449,813,483,981,903,851,083,300,368,180,004,710,131,
632,233,105,411,724,556,029,048,217,114,950,869,094,762,987,721,986,972,409,
977,176,488,110,695,704,430,114,047,087,468,006,354,597,194,116,849,790,606,
407,576,285,069,908,961,133,512,794,772,531,371,493,548,881,297,873,295,792,
373,878,269,696,571,379,915,641,677,530,334,618,104,177,109,353,573,519,515,
207,323,430,236,427,570,120,946,229,134,695,237,044,112,650,255,419,497,888,
663,258,590,953,137,775,119,518,565,489,413,041,760,226,129,438,847,250,733,
675,654,512,386,565,123,266,511,980,849,410,265,351,232,186,658,771,635,548,
440,858,477,681,869,794,330,696,689,947,267,743,452,925,773,867,224,378,194,
643,732,553,680,635,870,115,088,727,257,244,404,840,828,671,490,623,069,504,
802,138,218,605,462,549,081,505,475,815,999,359,583,630,440,424,525,562,095,
501,729,980,794,514,558,194,246,807,062,414,799,522,014,047,758,719,178,629,
365,777,742,766,329,350,130,393,344,650,357,480,526,426,876,593,942,318,568,
108,971,076,796,723,504,097,331,138,856,547,934,326,408,404,528,206,359,962,
836,012,639,841,176,076,265,596,233,042,400,818,859,428,763,287,176,915,134,
067,092,786,635,011,152,907,137,777,093,009,403,650,973,255,822,691,478,654,
559,718,176,518,911,388,427,480,027,926,997,654,106,548,814,570,702,879,673,
903,836,916,531,461,360,573,774,677,435,099,657,157,839,831,944,002,631,689,
319,576,999,468,917,688,503,968,236,057,647,049,448,335,644,034,338,797,368,
258,786,375,663,627,152,321,842,751,038,755,192,680,384,813,904,431,701,327,
473,413,011,203,221,050,449,561,385,615,711,964,852,871,071,802,295,124,381,
717,723,700,130,807,539,239,526,542,429,928,276,750,295,201,569,405,475,595,
713,776,838,567,752,176,469,340,525,991,511,460,114,445,834,927,611,978,817,
458,234,501,056,428,209,625,329,303,404,134,117,871,826,091,233,071,315,552,
571,883,023,799,165,771,847,933,922,880,531,827,275,268,349,199,278,606,338,
862,083,630,030,296,907,479,278,142,833,933,330,830,442,666,195,384,822,675,
771,772,495,034,625,488,443,628,165,511,919,499,487,290,041,805,412,729,404,
662,356,757,540,040,743,390,441,056,309,037,711,559,013,155,757,848,178,847,
572,911,396,315,512,110,489,490,946,237,777,055,680,479,958,990,669,260,695,
606,111,288,800,148,757,532,716,156,115,374,757,363,479,653,068,815,974,565,
618,788,906,784,601,190,260,791,251,663,288,908,396,805,068,322,761,291,396,
626,374,689,225,920,858,069,875,084,671,094,172,815,987,430,375,615,195,998,
522,262,314,395,860,329,419,038,950,506,974,878,070,968,005,648,199,040,130,
835,657,765,127,895,091,645,442,330,123,842,945,722,453,127,397,194,862,413,
529,041,766,678,841,451,430,037,305,352,697,072,167,446,135,025,416,943,055,
818,374,213,960,622,477,615,466,707,943,024,274,196,995,539,950,514,552,277,
370,856,821,442,569,740,602,168,310,431,093,007,104,473,365,798,977,649,654,
805,383,758,979,931,994,361,699,630,463,778,609,106,958,983,839,127,749,538,
402,590,626,851,199,269,324,465,618,463,208,550,915,939,565,110,486,631,417,
603,181,221,509,991,834,592,471,990,282,337,166,310,026,562,172,874,771,247,
297,477,502,289,792,282,201,805,528,638,061,752,115,753,333,659,683,242,250,
911,206,648,290,356,241,450,034,588,587,543,572,104,044,946,246,339,406,686,
313,266,768,053,043,793,130,482,527,883,401,172,881,922,662,793,171,573,409,
037,961,291,309,618,181,422,179,611,511,687,181,801,065,918,738,086,764,602,
934,870,182,616,030,380,398,144,257,744,682,362,796,132,207,438,447,744,369,
670,519,302,373,624,356,525,567,451,327,326,219,173,728,956,059,926,068,750,
492,594,887,185,813,811,761,958,634,179,266,880,549,278,369,247,200,730,661,
399,217,383,596,593,318,272,561,869,656,276,875,530,700,161,176,028,588,895,
123,466,131,494,902,100,168,718,033,505,913,215,324,683,583,013,085,862,942,
197,487,739,509,950,704,762,814,534,008,819,763,886,472,518,730,675,075,643,
086,708,151,978,066,611,229,793,799,833,981,682,111,376,542,751,938,434,167,
358,515,174,594,691,598,732,083,752,806,634,899,642,444,486,693,238,260,896,
379,111,521,946,417,469,770,589,540,575,138,440,726,619,963,301,721,894,080,
280,162,429,671,398,513,466,143,580,490,637,030,980,458,656,514,374,575,022,
839,160,112,576,385,161,488,885,197,244,040,795,626,639,243,234,606,625,931,
159,098,629,297,889,034,780,887,290,244,151,048,054,125,605,300,855,802,499,
106,824,828,409,915,124,130,180,902,129,850,618,867,800,500,076,167,058,894,
237,800,636,392,442,433,755,520,915,055,775,914,340,258,562,917,566,036,257,
869,998,442,693,114,204,508,386,694,821,037,229,979,542,831,719,973,473,078,
682,135,448,764,283,181,791,379,995,269,269,584,205,991,140,461,261,970,152,
112,573,325,404,252,791,779,895,422,407,615,470,265,787,716,048,144,854,688,
610,989,247,930,668,926,226,497,279,661,727,788,890,826,143,886,997,734,866,
917,725,158,329,964,620,799,841,178,665,224,700,102,590,962,874,785,455,307,
402,177,520,599,637,467,857,760,474,377,143,475,108,721,496,956,571,174,812,
507,754,718,662,989,736,417,898,517,435,097,486,153,988,951,860,058,841,278,
251,875,051,358,832,552,249,056,947,475,744,567,792,756,839,124,959,505,104,
057,438,026,006,466,592,228,161,170,339,754,396,436,382,031,407,856,145,118,
605,051,936,032,748,276,296,571,737,428,564,043,373,090,028,692,387,023,243,
035,878,291,599,837,224,681,613,764,595,076,472,459,839,113,630,487,005,580,
040,817,170,739,957,429,615,658,148,314,079,440,609,389,532,518,880,862,861,
795,539,895,153,432,482,926,204,812,630,637,029,251,952,401,942,455,899,273,
027,735,120,882,731,898,325,233,616,537,926,236,862,393,757,985,583,717,902,
945,109,325,811,572,926,799,116,181,930,740,951,250,927,844,936,121,777,200,
661,035,594,719,282,552,201,688,604,421,739,456,243,642,772,069,411,320,678,
898,238,448,148,583,295,664,468,616,683,000,211,519,402,064,625,906,766,759,
676,820,298,062,645,593,831,295,811,558,397,417,661,097,749,346,761,882,620,
174,041,904,997,175,950,891,154,525,365,087,799,269,046,269,588,023,086,562,
269,527,233,276,737,603,767,740,543,400,867,925,579,343,687,651,169,928,108,
011,634,094,469,042,535,726,322,787,668,946,744,235,860,001,743,229,304,779,
655,158,917,127,960,053,587,295,937,792,809,682,024,268,839,385,072,921,209,
488,373,155,018,903,191,228,932,024,518,698,447,361,381,920,513,875,402,268,
720,445,532,205,283,982,205,285,024,171,045,571,729,996,308,820,597,686,283,
157,792,644,944,454,407,386,892,571,824,921,413,911,843,029,783,233,293,761,
608,717,251,027,671,871,382,271,360,421,833,325,827,639,647,073,708,030,444,
052,190,654,228,439,690,449,084,846,865,791,381,848,829,666,369,768,040,396,
865,168,056,950,541,288,320,366,159,425,616,155,216,129,140,416,202,031,569,
325,985,778,435,310,564,029,821,158,910,050,420,413,647,120,125,404,601,324,
125,674,276,993,932,376,924,489,933,317,289,883,156,269,537,785,082,259,584,
556,642,241,364,079,418,459,988,067,246,756,788,845,088,469,607,396,667,493,
041,831,084,267,811,757,379,820,545,313,214,456,654,936,868,133,098,077,002,
817,039,921,259,760,706,995,010,753,602,980,686,843,142,653,326,228,869,360,
022,777,424,476,508,077,280,173,311,544,800,201,299,343,381,531,072,241,880,
210,841,782,562,014,210,434,284,172,690,859,668,365,107,155,555,284,413,994,
269,302,328,309,088,544,997,166,628,898,308,781,010,303,783,093,793,302,892,
599,485,995,760,176,859,160,180,491,107,713,018,703,692,780,166,494,109,823,
754,163,244,586,434,771,080,380,057,603,603,981,043,962,238,728,717,864,807,
013,927,741,442,901,700,506,691,121,208,052,337,051,933,793,686,024,995,413,
159,199,536,842,036,151,474,601,200,457,822,946,869,233,197,398,789,696,081,
635,790,400,837,223,288,619,249,614,468,572,375,483,840,415,175,872,475,775,
041,194,305,209,697,264,016,670,702,612,358,817,277,726,136,998,961,109,667,
028,862,198,339,106,360,994,732,655,294,327,749,579,328,585,731,487,795,513,
760,054,850,558,152,107,455,058,707,566,239,274,569,660,398,596,310,555,670,
451,845,112,260,152,199,141,409,630,296,269,978,249,510,389,833,508,048,473,
610,745,885,401,972,017,151,273,833,643,821,515,816,869,153,526,828,002,730,
673,467,087,608,827,401,984,733,843,429,030,468,313,886,296,840,177,450,207,
056,518,991,278,291,814,842,533,512,845,917,823,405,012,153,397,644,332,613,
158,821,557,209,816,165,500,670,207,607,123,615,964,994,660,418,954,450,380,
113,520,759,546,691,679,195,577,240,128,113,377,185,715,813,589,170,585,467,
394,929,169,320,847,837,381,042,141,184,284,634,377,534,598,643,994,716,367,
746,623,983,561,683,910,701,558,007,261,403,461,498,173,230,958,427,220,048,
144,026,291,521,361,034,161,122,928,089,237,017,972,683,793,220,605,549,532,
372,660,230,667,083,702,307,489,332,404,668,156,636,322,584,416,587,177,474,
988,406,216,541,018,710,285,348,429,200,846,231,542,161,191,764,588,318,215,
437,037,626,682,980,721,386,481,942,846,570,161,441,102,890,543,403,824,600,
361,641,359,756,198,897,344,572,292,517,511,754,636,520,487,237,725,161,502,
881,879,539,212,121,573,619,572,476,337,196,083,915,418,402,706,015,212,752,
035,312,280,719,164,799,285,177,438,459,676,919,498,274,542,248,908,562,457,
917,811,700,879,094,709,615,311,855,812,004,769,704,504,526,739,628,705,090,
301,880,378,403,595,267,464,818,020,399,109,853,962,288,734,996,962,922,840,
328,665,726,542,957,291,193,334,463,289,954,548,088,930,928,353,585,044,957,
577,445,777,198,563,639,357,243,946,250,889,953,881,999,799,573,464,507,117,
858,503,301,675,301,142,035,061,002,262,536,476,975,481,495,201,708,480,652,
848,222,353,180,262,025,438,575,923,867,826,090,154,859,523,664,368,208,254,
976,094,255,262,907,435,736,656,472,338,567,876,579,942,838,136,207,209,770,
698,212,320,487,773,832,239,452,338,942,612,997,975,886,568,550,386,043,402,
175,411,097,477,320,857,948,669,551,374,834,712,281,492,517,410,065,533,728,
143,466,880,117,481,966,090,826,067,055,815,845,495,575,843,624,126,298,266,
520,435,218,973,090,717,100,310,716,571,820,937,847,380,282,795,147,995,565,
990,028,908,335,486,630,575,984,045,709,365,917,230,660,216,888,053,749,988,
096,165,478,833,907,512,025,481,874,807,383,820,544,920,030,534,847,564,800,
247,057,879,509,471,581,167,336,153,180,374,050,894,532,458,471,746,513,977,
358,684,918,422,885,928,385,780,475,608,174,704,388,097,575,381,504,323,626,
345,290,080,817,520,104,091,261,747,439,626,913,563,348,042,278,236,775,079,
247,254,582,936,682,263,115,462,727,531,095,856,218,913,533,352,008,688,581,
858,119,511,116,570,366,535,726,030,832,166,158,843,548,146,970,962,478,703,
454,124,118,016,205,020,309,513,240,158,598,760,441,270,354,608,638,311,816,
228,935,039,932,781,492,037,647,893,887,279,819,995,274,371,663,792,792,827,
205,839,197,844,768,817,242,100,580,360,545,018,454,346,891,203,687,105,169,
885,208,527,545,167,481,207,632,887,375,314,719,459,180,257,929,499,783,177,
082,297,167,425,647,025,563,379,768,648,145,666,141,898,295,181,003,785,149,
034,524,427,516,701,630,469,680,928,057,103,530,092,184,312,703,705,444,063,
132,777,055,457,518,253,785,509,728,956,993,532,916,490,624,439,900,566,481,
670,215,643,895,131,292,293,746,046,561,122,938,996,740,117,127,135,911,104,
100,104,537,406,512,254,089,318,121,046,715,423,506,306,121,713,757,258,687,
161,083,527,690,907,587,722,826,664,108,433,465,020,731,687,439,786,687,878,
674,456,719,509,004,347,866,203,936,405,706,049,966,427,994,590,920,429,662,
147,277,497,222,457,805,483,048,587,078,210,051,176,215,256,398,600,527,650,
929,388,455,025,544,547,819,860,908,057,267,970,432,455,517,373,430,306,065,
542,569,981,969,937,639,315,817,383,199,024,565,898,965,868,504,010,408,312,
739,938,712,985,830,544,521,912,715,378,693,869,231,055,540,198,684,041,704,
875,520,659,858,910,834,050,312,065,746,450,117,981,956,176,403,782,825,410,
262,416,817,434,414,337,789,178,043,009,044,006,770,810,072,824,500,928,144,
114,856,257,797,571,707,748,880,205,426,164,912,382,427,905,420,406,370,938,
879,629,137,142,896,727,712,270,979,246,404,284,186,059,847,640,323,990,159,
780,058,024,274,614,619,238,709,428,178,981,357,173,244,605,736,461,990,235,
088,024,190,271,356,197,835,830,332,114,888,672,913,373,725,971,108,419,787,
016,296,063,918,680,514,965,066,083,975,017,779,255,385,882,725,599,537,587,
960,422,188,214,509,376,248,969,315,235,541,007,003,214,402,034,983,717,097,
985,236,836,090,683,505,826,344,334,207,669,952,118,694,493,130,966,874,924,
116,050,400,842,738,368,789,792,019,973,720,368,665,157,230,261,767,142,500,
302,042,348,264,677,663,091,384,862,784,800,469,624,364,784,949,245,657,254,
522,572,694,463,179,766,732,004,378,013,544,734,180,525,736,150,904,282,189,
985,545,213,003,706,505,949,853,080,212,191,230,344,849,350,449,152,597,530,
960,441,520,042,435,347,518,680,476,773,172,702,082,414,089,596,538,255,961,
570,350,249,585,118,900,329,579,325,465,871,486,256,314,018,198,296,038,891,
984,892,808,537,023,149,136,302,666,596,514,082,960,273,705,614,659,485,435,
221,647,853,085,277,808,113,297,068,737,620,497,617,928,581,104,511,171,676,
107,956,873,872,294,768,424,723,140,519,735,746,212,543,027,633,690,770,021,
471,230,051,005,244,396,454,885,357,043,697,191,397,330,890,209,319,175,554,
321,670,017,053,945,020,079,775,791,668,766,917,817,984,203,953,455,508,969,
931,262,137,326,210,654,025,217,916,926,364,491,478,871,433,927,949,637,025,
839,457,851,141,483,989,627,174,640,076,722,109,907,213,900,411,418,858,159,
032,489,051,710,470,972,294,034,809,270,276,130,611,353,691,878,961,585,617,
843,265,822,460,319,400,923,665,950,079,492,385,075,137,139,909,780,055,053,
944,523,220,110,402,056,711,514,318,851,315,439,394,768,660,015,218,677,058,
238,010,960,177,936,265,586,769,402,340,023,808,399,726,615,188,599,259,978,
864,074,558,291,213,826,910,295,757,608,712,664,200,517,119,876,188,552,216,
024,242,185,896,489,022,373,055,872,915,238,049,335,462,624,127,879,850,399,
771,276,044,135,850,464,558,125,863,967,639,929,606,147,662,648,974,349,068,
382,028,453,649,982,972,803,006,805,358,722,930,640,109,279,561,648,979,028,
716,721,562,968,657,091,729,346,792,461,053,765,060,532,396,884,753,598,847,
031,296,211,747,665,585,070,322,723,226,322,002,496,546,680,027,174,694,586,
592,598,373,004,783,832,791,015,454,114,569,903,083,752,551,260,398,155,591,
459,559,893,481,281,403,083,409,079,745,014,915,227,375,270,153,816,390,513,
814,478,977,299,678,008,662,726,423,221,184,600,557,106,558,397,955,945,681,
020,613,839,256,962,402,409,871,998,486,068,049,475,628,823,787,149,386,576,
542,050,300,124,053,261,855,103,738,631,713,398,612,392,602,085,200,223,781,
052,031,035,075,833,665,423,598,061,072,787,058,335,423,534,099,697,385,948,
515,101,314,739,633,239,912,794,859,575,477,605,795,457,405,083,409,526,883,
549,965,248,137,723,666,047,727,125,179,452,192,584,575,173,804,426,697,678,
612,256,387,954,734,194,166,718,506,863,107,416,076,192,790,587,807,636,463,
332,136,405,630,315,154,539,441,048,616,842,577,343,120,708,177,380,919,063,
943,447,893,774,518,895,275,499,891,948,019,025,225,252,716,702,669,755,176,
887,992,943,795,731,997,024,986,262,741,404,265,524,672,440,388,701,952,613,
683,166,762,037,769,711,738,908,938,175,089,470,208,962,832,933,617,758,703,
084,202,564,174,554,559,925,746,089,682,274,599,724,735,119,380,276,102,081,
088,695,742,620,184,890,577,385,342,605,018,950,301,846,376,866,393,328,678,
769,926,952,544,680,144,612,563,846,586,674,045,638,813,054,938,984,808,172,
861,835,606,397,674,983,443,820,344,601,295,415,108,449,482,142,736,004,618,
567,847,956,693,583,137,690,856,559,378,368,467,059,691,810,500,540,454,123,
758,061,823,662,158,144,942,838,283,970,081,820,397,794,746,386,572,914,822,
994,730,291,532,738,962,750,160,890,546,197,954,267,487,820,747,046,430,105,
277,377,427,918,485,544,620,981,611,820,155,695,912,958,328,655,021,789,614,
344,607,437,324,369,804,892,713,173,494,476,184,884,502,255,442,024,029,529,
161,763,922,051,713,929,953,956,689,491,264,716,367,665,982,316,652,482,939,
030,915,905,107,708,925,494,343,064,998,602,738,939,528,744,604,106,644,263,
470,368,518,941,590,094,567,454,725,350,747,035,116,831,887,533,257,541,849,
550,718,789,044,433,130,873,826,730,448,728,268,941,616,576,866,953,284,184,
432,573,383,268,951,541,572,058,300,541,998,528,044,209,383,159,999,956,819,
463,129,728,609,224,772,348,641,211,308,591,934,874,437,598,267,486,934,504,
190,376,016,320,870,745,241,106,397,152,503,120,671,210,838,030,736,232,244,
638,113,064,489,513,594,293,354,568,898,198,579,393,935,939,734,406,162,082,
489,951,943,740,147,407,669,211,016,834,720,150,194,076,690,928,695,463,253,
881,827,298,869,612,978,210,669,036,575,515,975,588,897,472,392,135,530,129,
600,785,882,924,092,415,177,356,914,811,673,249,119,220,830,968,138,220,271,
742,414,929,989,038,721,390,686,749,177,339,306,348,458,340,212,403,479,700,
632,469,764,086,116,983,139,136,995,143,469,969,085,734,419,543,051,592,919,
772,427,900,749,961,381,894,464,058,703,681,185,105,774,948,435,832,038,234,
212,665,160,334,231,262,951,746,984,983,151,547,045,614,729,428,991,674,763,
158,115,562,577,309,481,806,062,151,806,116,812,822,184,942,283,281,597,075,
927,653,716,981,189,439,869,742,643,187,449,793,562,311,763,443,195,110,780,
715,329,444,033,585,032,368,528,962,800,827,621,495,254,057,231,110,862,913,
324,836,441,210,145,742,227,805,097,032,295,923,744,019,229,275,460,783,484,
772,098,951,549,091,638,392,358,851,281,866,950,317,518,403,810,928,117,976,
117,247,399,512,154,959,745,369,398,127,428,003,001,282,711,413,045,389,379,
473,089,230,589,190,436,810,067,694,922,458,681,845,657,283,316,843,931,514,
686,369,901,127,829,924,427,044,453,935,842,657,516,006,133,986,787,683,483,
438,608,155,318,339,123,359,566,942,912,357,512,172,198,398,837,707,807,224,
950,091,429,965,560,701,099,493,859,669,420,226,070,380,543,912,934,616,959,
325,735,504,578,595,767,000,447,022,867,213,159,465,988,545,499,692,879,573,
677,198,521,306,194,640,825,681,550,649,777,477,402,581,880,639,100,907,816,
380,056,299,473,627,395,062,872,244,798,886,557,927,754,892,766,967,219,589,
082,234,069,744,627,412,803,227,127,741,301,278,350,646,931,235,537,561,561,
247,561,412,234,279,720,321,104,610,487,021,599,280,630,668,240,349,270,851,
540,167,566,249,322,042,658,304,947,906,408,208,067,783,023,483,609,125,942,
523,455,187,112,443,273,495,061,534,519,783,732,080,003,206,372,021,674,798,
126,434,055,599,605,534,810,426,784,959,489,617,665,051,184,273,495,807,941,
701,489,367,710,578,344,137,693,941,270,492,499,394,313,538,145,836,707,002,
016,153,251,803,675,313,653,110,463,700,539,684,523,178,989,673,724,268,032,
876,613,887,474,349,811,475,757,436,160,140,798,301,251,711,822,721,222,738,
700,359,980,167,081,781,026,247,132,832,797,181,178,707,334,048,344,019,240,
458,738,994,593,182,546,830,654,016,005,936,207,299,267,959,047,883,045,518,
826,449,304,109,260,149,092,617,499,948,184,298,350,692,046,981,519,942,353,
133,723,314,220,976,338,016,654,527,284,936,987,384,551,854,592,319,617,321,
770,017,746,067,342,501,742,682,382,117,984,704,085,920,911,730,035,715,507,
920,277,828,481,121,609,040,638,385,617,783,574,274,306,058,813,500,981,903,
279,792,428,462,247,174,710,467,523,789,415,239,835,057,931,288,565,475,216,
466,615,556,287,593,975,508,122,394,523,866,990,582,518,367,220,528,443,442,
574,496,168,582,162,103,390,833,431,479,645,028,169,858,866,653,037,096,529,
214,761,986,269,045,182,431,735,920,558,796,279,010,286,955,351,182,551,107,
992,501,301,183,219,252,765,829,597,498,069,375,534,049,082,120,268,985,104,
549,684,414,030,148,924,675,523,192,129,593,331,610,992,647,267,695,777,186,
364,081,597,311,174,077,804,797,783,694,103,730,154,251,628,665,415,224,814,
437,809,301,433,513,870,068,236,581,446,540,569,877,434,037,982,786,169,616,
820,860,288,667,335,814,887,262,280,461,258,950,340,787,539,323,220,981,323,
215,184,383,190,765,935,822,101,758,845,176,720,758,363,798,683,807,447,304,
971,219,556,592,167,604,696,095,201,729,382,295,030,284,783,449,063,376,996,
016,029,061,449,141,755,923,155,503,021,580,696,919,577,664,860,604,655,636,
491,656,481,724,119,007,271,508,826,354,231,832,436,462,038,087,228,273,922,
191,406,866,575,810,559,618,833,386,239,894,159,722,364,861,331,715,785,398,
082,531,964,825,074,398,984,133,535,938,054,945,869,017,119,805,358,521,506,
758,324,250,695,553,627,961,656,335,053,640,845,991,976,649,598,609,470,818,
082,905,255,971,276,459,743,945,923,752,107,116,676,581,402,494,297,786,052,
930,566,473,421,301,977,933,604,374,422,287,497,545,166,099,751,786,799,612,
363,516,470,603,743,635,986,331,074,737,108,595,108,072,058,823,318,309,937,
915,503,761,949,363,658,256,882,569,870,813,956,358,073,085,899,528,098,572,
085,173,631,279,317,672,997,903,408,771,661,978,085,394,411,544,693,665,962,
951,627,298,639,214,619,379,772,267,855,996,456,499,873,452,766,593,850,011,
491,791,787,987,253,750,412,443,157,188,049,811,015,191,726,244,058,571,811,
015,480,457,912,576,270,816,521,332,498,165,645,557,146,644,786,794,461,114,
869,545,421,752,141,405,020,033,563,539,073,130,883,678,958,337,216,439,313,
722,434,888,934,136,707,087,313,331,097,586,776,798,746,055,032,613,660,266,
348,346,783,747,089,301,216,543,548,485,537,219,417,026,413,047,543,631,170,
472,376,647,323,658,554,316,176,339,952,870,791,868,923,530,314,061,801,676,
395,062,512,128,836,177,327,006,145,742,978,511,589,729,729,574,790,041,200,
264,746,708,165,004,178,705,279,621,596,920,109,885,375,832,569,232,666,061,
858,804,016,170,631,260,877,186,182,800,922,816,507,804,901,282,541,468,400,
602,033,047,641,165,298,236,309,331,219,151,111,839,593,337,932,493,269,850,
649,056,011,419,711,328,212,952,527,415,636,321,034,843,657,743,172,113,926,
277,078,330,578,577,474,897,988,135,957,037,327,179,466,824,740,987,279,129,
377,212,951,760,151,621,234,851,486,225,965,448,179,021,036,407,065,782,947,
416,247,346,670,439,483,757,483,216,755,484,206,936,806,673,511,817,241,675,
773,762,161,482,055,383,461,305,196,807,361,347,669,757,595,809,057,330,479,
742,650,207,048,640,461,898,444,004,319,016,511,057,084,150,448,005,049,317,
099,244,009,910,165,484,975,894,910,151,557,710,600,906,009,073,577,220,966,
294,619,637,527,949,961,379,384,553,958,459,914,580,992,638,255,318,869,075,
125,759,340,928,307,774,923,644,634,974,954,589,861,675,630,588,010,840,768,
245,445,615,040,198,465,411,732,029,934,564,345,232,527,230,745,399,460,740,
885,775,604,392,519,803,148,482,511,002,601,180,546,174,270,504,776,278,363,
762,605,011,410,747,264,610,420,010,814,804,883,001,455,161,358,265,455,539,
213,539,504,328,186,737,282,819,750,066,978,147,721,202,962,866,493,376,480,
267,422,155,247,588,092,163,537,525,419,959,549,761,640,892,036,984,920,531,
068,501,678,090,022,788,658,012,523,237,810,194,535,451,684,378,154,556,581,
578,946,446,580,869,055,923,544,203,265,005,784,115,883,193,089,382,401,571,
064,978,014,026,474,500,022,911,890,036,209,403,426,427,693,680,415,452,484,
305,044,531,857,023,574,867,413,390,990,061,050,978,423,715,675,580,126,730,
976,058,544,144,284,323,760,672,473,487,322,183,232,571,337,708,697,384,914,
029,380,129,721,786,391,998,873,820,872,651,718,174,940,131,233,600,953,203,
102,328,512,448,400,234,427,541,722,762,237,043,570,674,919,145,731,198,884,
261,674,708,759,465,957,014,179,430,162,212,437,758,791,768,169,704,801,755,
408,908,388,818,824,973,634,471,456,103,276,861,074,898,943,870,205,409,539,
569,323,968,510,757,489,896,786,984,790,673,156,623,463,090,177,193,894,624,
578,642,659,887,960,007,219,085,302,967,688,237,529,694,590,411,953,227,218,
928,701,489,343,817,050,275,861,236,069,614,588,960,743,974,393,159,806,841,
511,838,442,347,716,561,158,579,337,481,515,756,702,801,625,594,937,287,142,
965,687,359,397,462,126,765,421,503,965,542,815,671,344,993,193,278,658,357,
011,939,840,796,301,618,311,090,659,988,001,176,467,322,426,840,823,312,561,
886,117,972,994,780,285,591,151,986,872,248,065,337,247,836,669,917,837,343,
368,975,521,171,226,088,257,521,970,204,858,407,564,006,552,445,889,622,141,
720,202,413,793,741,691,459,792,844,474,817,493,184,908,227,469,001,561,419,
672,858,170,549,967,897,423,657,094,086,155,610,086,522,298,072,635,808,737,
436,154,105,744,215,970,318,209,381,514,696,368,673,273,168,465,841,832,763,
970,796,895,419,397,645,568,745,719,829,476,058,685,983,073,104,090,003,607,
464,073,930,093,291,418,711,827,693,063,202,583,853,837,065,257,279,441,494,
557,121,363,969,534,410,447,702,977,731,900,002,360,448,765,050,686,648,335,
453,496,961,837,165,454,747,424,659,592,520,714,887,071,985,230,268,025,901,
235,619,545,124,078,124,040,735,733,813,553,099,196,557,780,803,835,048,667,
761,392,727,715,422,919,850,010,625,297,743,951,451,511,645,049,681,943,012,
938,813,864,596,863,475,070,478,955,001,890,133,981,050,218,251,869,397,732,
143,330,627,132,427,956,869,905,358,545,919,441,934,732,828,469,088,424,840,
351,310,025,378,396,938,846,235,859,818,859,389,763,496,021,148,363,254,301,
686,607,723,400,498,226,317,889,728,930,027,616,666,039,295,635,322,581,845,
177,261,893,980,950,176,592,799,106,834,195,305,001,992,806,405,595,934,832,
336,914,344,985,745,488,356,808,613,718,508,214,679,996,414,710,170,107,698,
079,474,567,104,535,740,724,066,435,191,890,010,630,546,402,429,543,944,594,
111,462,046,045,108,113,677,935,662,955,340,368,996,688,864,582,149,333,259,
392,434,450,970,086,998,577,875,985,624,391,121,029,143,455,458,788,171,758,
783,824,617,918,031,506,203,159,395,092,066,365,300,612,403,945,726,022,565,
156,801,292,775,135,755,480,012,002,792,546,351,424,214,695,379,144,177,983,
613,612,665,750,081,940,940,704,912,571,895,710,889,013,740,079,496,216,529,
584,860,139,195,322,758,520,915,877,180,015,707,275,452,667,577,680,964,518,
207,814,608,488,662,698,668,364,817,466,605,443,740,800,900,434,019,162,682,
015,178,517,781,398,986,476,084,591,027,499,666,955,498,795,921,794,083,057,
708,478,142,863,070,584,012,795,305,059,874,892,320,574,545,124,153,285,924,
514,043,180,429,181,282,289,462,231,324,860,229,356,876,331,463,982,134,464,
468,598,504,037,366,571,045,269,071,444,845,094,930,437,132,671,872,591,585,
456,401,487,568,787,621,322,325,931,687,661,501,643,809,483,598,992,634,019,
385,600,692,313,312,470,021,476,445,665,654,361,584,765,883,276,724,958,748,
483,814,667,045,312,825,516,904,213,584,614,566,370,324,839,506,614,227,289,
421,971,150,132,324,096,096,090,268,580,212,325,393,172,961,983,588,011,706,
012,930,108,936,363,496,699,066,351,396,882,562,280,766,817,509,921,266,180,
242,776,170,773,292,825,317,650,048,817,717,165,251,374,619,474,588,047,847,
065,768,767,326,588,050,442,853,995,844,191,004,913,782,803,494,846,376,276,
982,231,999,315,403,932,308,109,479,998,584,881,070,342,380,743,067,968,853,
907,257,580,880,440,860,344,416,130,251,876,356,242,241,630,210,297,258,736,
172,582,939,569,962,911,719,275,290,149,452,797,136,652,058,205,922,125,495,
234,117,949,141,036,933,170,418,091,854,832,432,270,000,274,646,012,005,935,
549,706,178,045,074,194,801,393,476,186,010,847,394,830,623,279,442,323,011,
428,867,006,507,781,758,608,796,498,453,742,258,471,479,216,846,137,435,130,
517,633,784,410,893,133,948,485,609,793,611,631,992,854,226,590,036,405,925,
543,184,249,157,616,262,692,017,624,063,531,214,133,462,662,488,328,056,413,
502,464,225,897,549,928,598,996,700,858,422,360,376,631,528,576,077,776,253,
861,927,482,283,468,350,724,818,864,653,784,219,137,178,995,177,797,627,649,
062,463,133,487,782,923,285,061,130,299,312,042,235,379,374,623,817,078,666,
459,971,001,422,229,543,186,101,928,016,478,904,670,614,176,290,982,365,027,
962,640,691,645,808,849,468,299,447,182,351,709,144,074,277,789,155,566,694,
426,302,352,103,126,985,901,679,445,504,444,212,287,945,097,552,467,214,298,
944,975,477,105,450,699,766,253,682,373,269,498,777,055,702,917,476,129,226,
538,758,644,809,435,371,002,869,642,114,065,822,021,202,840,416,588,965,202,
180,616,924,630,807,210,770,012,479,276,697,079,336,208,250,649,135,005,000,
736,427,381,970,219,743,898,653,534,372,233,893,216,706,860,984,230,345,306,
559,057,706,550,459,159,144,141,721,365,640,055,834,463,929,992,523,542,503,
905,106,312,352,487,396,159,291,976,050,773,514,882,007,835,952,260,065,670,
993,828,120,697,891,840,262,358,212,957,376,940,345,570,493,447,365,694,623,
720,273,594,996,300,529,572,316,681,592,742,594,084,018,014,516,644,086,302,
449,056,281,847,332,581,918,574,044,893,301,099,100,088,012,551,678,368,889,
447,646,479,148,780,538,310,436,994,310,983,760,011,717,010,105,261,490,395,
267,049,458,947,437,849,002,591,988,734,081,380,921,842,990,802,244,650,618,
272,069,773,793,571,140,617,496,102,978,516,948,091,562,493,065,950,972,237,
976,348,962,189,182,072,275,936,095,413,169,828,205,332,558,200,554,329,871,
150,139,180,264,550,680,969,273,395,119,902,437,415,569,989,922,886,433,288,
604,345,527,641,282,297,513,905,261,399,964,848,241,254,551,349,881,061,122,
937,865,616,012,776,331,648,858,085,773,056,949,443,055,921,362,268,170,713,
820,872,325,539,992,174,099,908,429,748,219,232,985,317,373,985,134,277,820,
418,685,471,904,130,633,861,052,367,798,918,049,430,508,075,865,428,619,298,
157,440,504,582,386,862,474,006,786,712,106,695,998,913,867,256,826,592,495,
336,312,937,812,704,967,673,487,679,745,127,445,282,529,166,493,223,058,652,
973,815,740,004,560,321,777,447,512,579,578,129,946,778,864,891,059,506,447,
004,632,248,563,231,621,662,200,497,089,506,582,607,367,364,944,565,761,674,
881,768,814,903,269,545,360,867,409,845,347,008,962,573,194,016,191,865,436,
809,060,025,967,502,215,945,046,229,320,324,709,871,706,379,281,266,569,115,
810,303,642,510,918,496,881,786,603,806,868,764,691,243,278,556,533,070,603,
994,104,012,872,065,821,721,112,838,666,506,934,742,253,231,879,176,438,135,
216,289,442,468,491,633,023,171,998,170,255,672,679,778,705,759,720,804,753,
477,142,423,702,041,626,801,066,879,602,701,140,223,382,526,560,633,992,856,
222,430,891,546,276,617,861,606,881,402,513,041,237,754,638,170,284,809,808,
374,336,268,648,523,047,698,525,867,695,079,985,655,675,965,844,177,276,161,
605,612,398,032,812,933,815,385,053,097,619,082,342,564,510,693,281,000,895,
788,995,073,167,792,583,852,027,751,662,933,705,175,583,296,310,335,971,295,
207,418,505,990,778,670,035,975,050,507,184,676,852,129,519,397,726,279,758,
430,127,345,530,331,897,308,246,272,199,020,549,972,138,422,676,992,911,190,
028,875,830,150,308,372,777,977,658,691,420,914,574,749,459,579,687,444,073,
983,899,974,692,880,471,362,864,769,221,459,573,607,109,456,165,550,399,866,
490,009,238,423,691,771,068,912,917,736,433,914,633,940,587,956,153,117,258,
448,609,419,352,036,828,994,259,173,986,300,520,531,298,204,169,102,889,139,
654,334,341,290,379,784,021,003,342,955,972,311,322,717,927,584,974,242,864,
989,505,152,510,796,531,538,556,710,877,138,419,044,213,807,292,627,542,432,
481,538,475,543,754,264,814,984,363,883,745,618,001,809,322,423,227,427,801,
274,843,343,883,058,312,853,337,113,212,478,752,805,709,469,390,096,579,421,
452,389,289,719,446,890,917,631,907,537,470,038,238,944,824,839,155,690,643,
880,240,672,755,610,502,630,091,660,226,902,764,039,881,607,435,294,282,044,
827,088,048,040,799,423,675,073,358,258,593,647,000,191,472,850,348,994,494,
405,069,348,979,326,655,106,153,971,483,581,120,770,634,048,753,068,948,340,
194,510,831,292,623,636,009,946,389,216,773,617,795,554,569,898,666,261,096,
865,274,182,217,730,608,823,635,422,815,728,360,272,673,335,872,880,161,368,
578,636,362,795,719,238,985,048,693,001,116,789,026,706,047,278,952,084,933,
243,752,899,864,820,620,022,114,726,398,157,799,617,137,687,917,668,668,653,
875,475,361,818,007,939,505,965,438,459,149,343,355,463,502,389,146,397,868,
263,070,252,102,678,353,521,979,196,245,494,086,732,877,983,027,924,448,982,
839,176,349,729,878,409,988,769,130,519,407,773,118,618,318,198,466,820,681,
570,021,897,829,530,624,962,788,826,543,887,939,879,247,463,027,585,231,552,
618,509,563,446,169,506,935,438,252,463,013,685,703,106,446,733,341,230,427,
131,407,952,273,881,139,122,689,635,525,799,952,751,939,514,115,366,141,672,
210,489,751,158,324,965,479,826,440,622,190,618,105,426,611,311,192,655,913,
298,935,104,533,472,127,633,975,103,902,084,910,907,272,841,653,300,559,551,
696,811,455,146,282,925,515,601,517,826,607,395,697,217,144,942,565,319,621,
405,236,644,585,241,102,681,098,733,322,298,548,637,494,772,016,157,530,798,
404,811,386,921,907,763,330,913,676,656,212,033,685,786,039,354,124,241,380,
109,246,522,089,843,991,858,482,289,374,360,828,970,958,286,609,315,257,010,
904,575,704,386,763,188,601,757,973,883,252,072,378,325,727,676,784,506,542,
149,375,158,045,701,755,465,633,612,743,627,216,515,578,511,253,140,183,395,
266,391,061,762,714,503,052,174,540,107,211,010,067,360,260,868,404,178,123,
251,671,763,613,670,746,844,793,593,085,434,462,379,466,812,526,762,786,061,
156,356,031,028,910,054,204,211,736,642,482,292,987,710,319,313,785,992,319,
932,725,419,193,993,585,461,992,781,971,685,273,499,939,728,782,931,411,922,
140,562,991,104,528,096,193,390,453,692,197,346,064,462,763,029,908,230,698,
784,857,039,606,814,292,684,874,598,661,206,260,678,201,593,355,418,785,569,
058,459,583,910,402,570,266,410,836,485,923,128,323,443,187,083,601,631,042,
575,217,053,835,734,299,597,911,672,569,520,877,477,779,761,972,978,185,719,
131,999,061,982,310,035,160,235,862,482,358,713,220,311,291,557,398,464,095,
591,886,065,118,841,542,291,328,818,741,516,481,209,886,431,869,959,909,192,
105,546,847,641,834,747,625,050,605,667,563,598,557,922,800,505,368,535,083,
550,168,262,263,776,759,340,303,580,649,517,723,817,913,474,801,499,105,353,
511,701,219,704,493,355,311,827,913,071,869,027,961,594,168,582,116,467,079,
299,723,415,202,131,284,028,962,169,568,062,080,553,271,755,693,440,898,607,
236,419,717,956,639,423,116,530,256,155,277,993,823,114,499,092,964,676,954,
190,456,226,095,637,126,432,059,958,678,201,807,280,672,567,192,996,483,770,
225,926,611,422,676,700,371,927,791,350,268,987,667,512,474,838,571,984,222,
917,814,427,601,214,067,500,221,761,732,929,263,852,331,383,466,992,610,886,
941,856,815,466,241,575,189,375,038,057,291,379,020,853,253,776,608,885,130,
021,343,178,611,050,275,322,022,304,764,291,030,617,140,621,392,502,275,330,
892,026,171,463,671,316,186,289,401,838,352,514,246,623,409,132,912,865,860,
051,708,958,643,730,699,562,631,689,744,189,785,818,116,932,667,446,042,267,
245,045,972,105,256,903,820,682,409,815,855,820,909,030,555,230,842,845,015,
396,526,187,427,235,949,119,993,384,202,000,305,456,186,030,666,557,635,158,
158,683,896,767,678,009,304,526,887,079,400,245,145,283,355,453,657,542,252,
631,867,941,364,547,840,413,741,265,435,511,301,700,154,567,790,674,730,447,
643,241,424,538,479,993,425,695,613,891,835,270,032,491,617,513,794,395,099,
146,337,487,560,980,771,174,022,511,633,101,298,033,521,446,469,504,396,332,
054,136,464,622,453,632,976,147,102,060,871,018,406,265,826,636,220,965,559,
230,170,903,520,624,419,133,458,403,791,650,859,035,743,811,615,653,731,805,
281,174,430,819,447,137,144,944,841,925,243,738,190,513,614,003,764,654,780,
353,759,200,972,591,100,300,931,871,362,641,125,390,536,878,774,383,066,533,
654,174,129,735,442,752,537,092,327,294,555,705,059,813,938,690,646,475,141,
895,597,802,401,450,463,216,132,192,987,098,024,838,254,927,392,397,163,508,
133,143,912,030,712,703,789,161,124,807,205,788,027,751,523,030,928,294,786,
186,841,146,511,468,613,830,502,605,895,060,716,601,262,089,996,134,726,355,
179,848,713,840,816,371,970,736,152,817,173,195,429,624,244,330,263,735,371,
228,465,489,108,549,653,540,396,042,930,390,448,640,726,269,522,051,092,097,
459,389,226,073,539,213,774,250,873,917,771,423,375,903,924,731,090,540,065,
981,190,811,307,021,041,305,068,628,380,576,027,948,957,636,543,696,034,559,
342,551,054,683,295,235,563,625,776,464,474,039,873,949,737,561,433,348,467,
097,002,066,516,722,800,871,863,392,764,138,509,878,348,806,746,384,877,163,
023,738,797,766,713,819,709,370,257,341,725,321,549,294,122,853,843,355,145,
058,887,943,313,793,802,228,136,696,393,654,293,517,661,899,006,791,195,304,
911,448,155,975,612,215,801,198,415,338,447,324,135,963,580,804,434,138,301,
490,070,661,285,682,943,670,093,028,358,396,760,012,569,953,527,779,251,102,
875,217,560,444,573,698,630,758,030,823,157,597,273,556,873,076,364,498,961,
011,739,724,561,628,881,496,020,028,942,153,890,019,420,558,890,703,034,862,
146,818,098,959,436,344,481,568,003,350,591,572,809,851,262,734,297,666,401,
148,392,856,512,541,235,126,818,347,464,046,219,113,433,822,123,724,422,881,
520,701,473,599,867,989,359,392,516,067,760,229,976,694,570,884,081,097,764,
447,924,438,364,540,796,340,250,777,581,005,411,766,856,608,021,399,418,492,
290,566,576,555,669,489,071,567,507,003,902,472,132,086,743,377,933,625,984,
161,855,409,838,139,753,683,488,823,218,380,549,554,626,104,365,726,141,834,
835,286,884,597,682,054,240,855,214,875,114,633,805,164,976,655,643,548,014,
995,966,688,683,856,329,636,481,563,033,117,230,077,381,870,273,420,174,045,
863,523,969,397,325,813,155,104,900,905,475,661,858,730,548,524,110,596,544,
825,453,484,232,390,114,347,005,061,083,683,082,614,254,182,338,387,685,430,
435,328,326,573,314,238,390,810,777,534,787,447,127,624,737,572,329,433,456,
799,030,192,580,188,311,659,123,180,169,705,822,008,625,550,901,231,138,299,
979,158,037,457,323,045,145,520,620,288,058,342,584,959,455,135,854,063,911,
491,247,319,584,657,646,934,112,002,251,096,252,002,754,841,165,246,032,618,
848,038,995,230,075,880,484,199,952,443,857,384,137,712,316,835,992,636,522,
642,403,357,960,999,513,277,317,314,658,054,252,909,222,795,042,259,548,526,
262,669,277,722,121,801,787,291,956,199,295,901,025,033,209,325,534,965,834,
952,599,827,647,851,122,941,531,613,578,174,947,798,048,765,032,297,227,751,
426,921,563,594,935,560,918,582,957,714,409,166,417,487,234,202,212,347,501,
673,949,457,309,075,481,252,451,959,216,122,967,073,379,651,329,274,500,165,
248,635,268,166,266,568,758,969,800,415,758,333,411,200,151,027,547,181,096,
660,632,114,773,047,653,863,167,551,422,565,488,465,951,356,084,029,269,764,
824,295,240,491,819,078,943,794,051,912,329,779,302,841,531,119,914,462,650,
386,360,800,400,218,297,085,423,278,446,888,547,062,019,211,974,150,756,926,
137,185,839,321,398,964,623,064,057,812,203,702,807,251,150,251,716,468,359,
768,104,329,393,535,207,316,524,724,824,509,714,162,496,548,411,469,683,587,
559,468,917,792,145,063,586,213,327,230,172,719,068,013,805,315,305,645,031,
537,802,030,075,753,226,577,471,985,697,875,150,631,376,410,335,045,434,306,
054,418,430,673,952,087,901,352,559,888,735,674,122,526,148,649,435,673,592,
489,421,848,282,052,566,930,869,597,163,505,915,978,684,908,666,095,014,566,
816,406,932,991,627,641,804,468,521,783,708,869,918,026,166,375,819,531,109,
900,510,298,665,381,863,620,865,090,578,528,465,212,853,117,107,533,179,843,
983,522,291,995,282,535,727,827,725,892,133,967,749,132,305,680,683,744,135,
087,745,708,405,733,476,649,312,601,353,655,552,945,938,590,872,061,591,182,
767,898,393,494,811,733,623,143,597,734,755,672,197,522,119,825,828,045,358,
610,396,321,117,857,925,817,196,255,249,614,551,833,138,128,552,470,813,557,
884,650,871,008,036,046,412,448,141,149,139,854,649,126,989,224,154,260,003,
134,097,773,601,623,534,017,561,876,469,092,698,937,761,082,823,522,343,934,
765,345,547,058,204,347,358,597,837,794,104,372,309,531,713,622,269,263,536,
361,595,266,277,089,523,652,674,877,741,617,949,422,905,285,205,530,089,798,
576,643,588,831,980,702,050,499,070,958,787,613,426,317,361,944,776,610,005,
061,073,719,693,044,782,046,637,186,747,388,680,536,954,496,647,494,264,754,
339,326,274,417,413,925,693,625,254,009,593,455,651,401,868,387,857,464,309,
264,454,547,107,096,853,431,562,429,644,325,337,764,370,953,770,542,031,426,
446,937,640,385,343,521,262,763,436,619,392,991,109,739,443,428,976,419,219,
049,964,812,946,326,814,269,334,080,596,823,215,682,641,687,852,907,645,363,
465,920,708,793,433,426,625,436,812,446,304,465,927,130,504,884,570,120,648,
181,504,772,617,837,742,596,251,320,927,267,578,205,492,969,101,076,624,173,
099,708,493,769,687,443,183,657,220,622,977,937,135,616,392,325,266,258,308,
088,296,305,082,697,614,340,671,824,716,699,634,347,402,575,796,322,617,313,
325,699,905,787,491,949,896,991,798,579,888,476,387,417,003,632,425,021,788,
794,377,016,023,687,492,432,405,064,632,159,972,264,174,295,398,993,161,742,
268,380,277,616,669,610,914,939,390,650,688,693,668,472,470,954,956,699,492,
848,274,212,634,807,435,126,655,760,170,581,809,185,381,834,419,401,850,740,
675,056,254,646,014,911,011,117,184,374,434,488,463,624,224,414,289,038,780,
692,106,720,178,887,529,319,196,784,804,161,941,440,283,407,242,979,218,281,
172,058,018,629,550,710,418,518,454,443,506,120,069,317,132,937,539,516,558,
071,974,959,158,889,730,397,261,803,087,948,603,547,894,443,681,093,894,888,
791,737,924,429,083,875,094,224,501,622,665,271,911,867,714,926,235,555,465,
996,249,795,451,264,705,144,751,856,432,297,623,774,886,782,983,223,812,491,
552,174,124,997,028,077,870,382,859,475,102,578,120,039,265,902,252,475,809,
345,019,448,608,574,417,105,974,119,745,139,496,229,526,162,404,507,607,859,
737,028,717,458,928,072,093,484,910,641,562,138,519,502,896,982,306,990,504,
983,706,805,995,498,926,479,196,093,320,445,803,495,018,953,079,576,234,912,
279,703,486,949,071,110,776,746,987,539,031,955,427,978,457,126,658,705,986,
413,605,112,655,502,741,242,444,547,667,846,626,292,141,698,751,521,919,178,
733,293,785,675,555,233,341,325,294,673,056,276,235,460,431,219,728,225,153,
685,255,670,668,520,181,761,737,111,245,040,173,444,592,658,571,656,825,802,
256,508,599,266,601,811,141,575,549,480,699,291,906,845,852,295,158,330,642,
909,176,613,820,109,664,395,358,333,920,403,320,981,254,070,426,387,692,641,
984,780,490,423,172,855,070,025,145,112,461,036,802,132,729,712,673,322,552,
433,378,928,092,209,505,792,249,962,028,335,479,275,315,070,169,365,969,297,
363,860,548,699,794,939,678,323,943,481,336,421,756,128,655,704,614,922,344,
037,223,721,532,677,164,280,242,848,554,156,862,718,173,349,525,978,259,473,
834,418,174,597,482,347,841,106,062,095,531,511,408,238,259,710,396,707,456,
443,413,924,363,613,535,135,802,348,177,990,961,286,545,115,289,785,043,930,
548,313,238,640,406,301,213,576,242,037,373,818,088,718,942,564,430,871,058,
386,684,030,445,635,878,684,755,153,075,588,482,005,409,770,625,588,245,872,
572,592,204,650,856,343,447,177,720,642,155,845,534,166,833,403,698,643,938,
700,717,620,218,485,360,800,860,256,932,254,081,031,426,731,496,965,222,671,
374,249,304,202,272,595,168,006,243,668,617,004,078,239,257,243,602,897,138,
503,320,584,307,205,642,692,413,190,948,951,330,781,969,656,648,943,782,794,
455,776,330,034,548,885,571,736,422,552,122,670,203,813,668,024,878,327,524,
853,128,217,058,353,763,316,381,466,825,535,573,200,702,448,372,739,702,819,
066,941,516,750,316,306,287,998,040,069,588,365,081,227,394,051,946,501,312,
600,451,468,391,773,490,536,402,228,280,165,138,216,316,286,790,159,270,334,
277,445,782,592,148,272,806,685,539,839,035,347,581,723,773,806,262,360,557,
140,240,670,408,415,566,468,914,276,480,726,636,064,303,626,275,139,420,233,
371,766,853,488,735,915,533,072,596,221,495,451,223,271,049,369,993,372,805,
479,619,690,972,118,568,515,274,172,801,434,484,316,839,437,020,546,060,509,
872,624,656,519,726,199,961,390,805,734,102,759,758,861,042,326,308,488,000,
514,085,033,186,628,971,458,062,914,511,006,765,560,478,966,770,410,102,930,
997,175,697,554,080,896,498,289,305,989,757,366,536,684,889,221,388,324,587,
115,902,363,221,068,461,227,279,457,839,653,041,901,391,862,949,218,222,393,
568,190,113,612,681,154,514,206,253,311,041,786,307,390,285,898,443,546,532,
681,619,876,260,431,799,181,113,249,452,581,773,861,366,462,118,491,791,113,
188,383,291,039,442,504,254,810,217,061,336,738,067,854,588,126,023,866,663,
281,530,231,491,528,537,252,351,245,363,921,243,052,847,384,428,142,440,450,
683,906,614,524,922,101,540,972,132,418,090,265,494,268,152,800,211,413,817,
629,829,314,851,141,987,890,514,847,084,876,894,694,033,336,155,637,922,994,
861,824,824,572,973,049,766,776,548,766,366,228,735,470,180,658,206,777,474,
913,743,813,843,131,490,395,216,951,682,363,072,306,663,904,367,511,292,202,
949,109,475,594,901,813,105,337,087,526,112,539,987,758,775,518,981,926,764,
919,592,405,188,783,691,683,586,455,205,102,153,279,038,341,488,602,113,861,
958,475,961,371,437,969,101,253,090,636,269,875,338,011,624,118,812,857,517,
822,019,752,177,625,320,246,137,562,553,178,914,245,640,682,655,837,417,144,
094,148,661,602,981,001,211,155,387,026,282,662,885,755,552,550,956,302,280,
298,403,270,658,938,785,002,671,248,083,863,717,846,172,788,733,755,676,942,
074,992,879,539,702,921,499,422,119,735,706,885,990,221,535,591,177,361,117,
374,578,711,967,775,094,029,683,076,053,572,378,398,442,348,241,207,767,271,
040,280,505,307,419,904,688,644,047,433,604,928,251,569,189,352,693,618,723,
349,644,589,482,209,971,934,797,581,668,712,101,762,099,319,193,204,109,033,
173,151,537,897,178,159,011,085,034,666,010,736,308,236,804,811,004,920,278,
433,209,122,037,043,950,889,306,113,900,292,070,086,144,332,413,238,306,173,
851,216,568,925,819,641,751,852,432,097,169,160,403,467,453,400,866,175,407,
425,536,028,853,153,718,663,913,087,865,442,192,787,039,382,503,835,387,621,
082,412,538,818,192,365,758,519,107,642,346,520,344,064,440,334,872,679,233,
896,345,002,528,943,481,994,019,556,913,412,028,208,995,474,907,577,904,570,
561,951,458,515,938,472,298,366,001,138,806,074,152,687,508,207,778,624,935,
476,675,518,466,288,302,068,869,404,897,989,891,087,145,284,472,476,227,839,
673,421,273,595,456,188,746,203,892,378,403,895,205,005,179,433,734,803,138,
574,074,278,701,698,375,403,285,520,700,118,517,043,341,535,357,498,084,491,
600,370,021,630,942,753,043,107,571,048,729,332,701,938,572,697,966,855,094,
377,197,745,257,170,246,956,115,354,878,718,117,654,534,421,897,929,628,207,
646,894,741,797,913,320,303,451,689,187,264,205,576,445,455,263,285,478,161,
737,925,835,410,142,769,059,526,570,979,348,820,958,806,173,323,771,597,341,
850,739,450,070,976,330,957,752,320,696,913,955,267,642,609,373,189,894,527,
378,426,365,941,948,314,516,209,171,969,047,427,218,250,010,894,467,826,284,
760,498,476,911,373,194,011,043,268,642,657,300,803,697,715,939,803,620,793,
892,918,237,528,344,142,681,452,024,780,944,389,974,794,262,525,135,070,185,
297,101,917,577,335,855,573,419,362,491,335,899,885,908,063,646,965,485,700,
444,722,532,274,894,330,399,868,908,481,250,042,676,398,045,544,543,623,480,
559,839,810,681,596,090,275,707,602,614,226,137,647,309,533,476,249,055,045,
911,664,409,077,815,968,092,511,814,335,419,062,248,188,800,271,832,952,479,
744,678,346,223,564,585,498,859,892,501,831,309,856,966,663,038,133,402,442,
984,169,756,029,635,637,003,164,264,167,575,957,642,193,560,841,325,508,122,
692,354,956,539,161,757,143,984,421,163,879,164,360,266,791,669,688,979,297,
975,309,391,818,922,563,898,006,406,037,439,520,723,043,290,518,024,983,253,
848,753,311,883,395,758,231,312,325,429,837,805,471,811,735,140,857,028,680,
996,350,527,982,761,384,007,363,027,657,036,942,112,313,067,310,240,036,971,
574,712,908,283,600,357,683,174,892,085,992,992,952,912,738,036,176,626,021,
522,528,516,710,168,199,488,342,866,559,461,341,097,517,471,858,809,197,971,
636,321,859,244,120,866,036,824,214,378,273,154,090,416,619,810,860,043,860,
657,588,518,175,389,426,676,049,066,380,670,939,547,985,869,931,466,554,800,
737,224,805,076,854,302,486,460,221,400,955,088,491,736,147,288,962,997,893,
532,707,406,893,330,716,684,927,105,474,606,018,388,839,374,693,783,114,589,
645,767,383,322,219,987,033,515,207,462,191,601,121,430,190,482,961,710,101,
206,555,582,934,730,861,353,649,754,995,417,580,335,983,286,718,700,391,176,
532,483,616,277,915,005,146,977,459,608,890,241,219,686,184,358,402,985,888,
542,919,089,534,899,013,788,200,838,894,511,619,614,584,018,596,152,897,967,
912,270,176,926,452,337,099,412,722,814,661,314,454,093,665,661,449,319,942,
838,132,935,733,662,672,473,215,220,891,727,344,390,706,555,370,025,593,578,
108,424,721,897,133,053,750,610,369,583,182,635,465,324,704,060,836,279,304,
970,094,723,556,183,890,949,168,358,664,296,033,729,315,621,155,992,809,083,
558,254,660,428,657,168,168,977,503,899,242,681,597,783,699,406,361,275,561,
044,388,072,346,072,082,947,860,387,849,855,629,439,913,171,139,552,525,711,
114,261,058,563,635,898,967,584,837,613,355,929,318,740,394,041,817,185,568,
319,522,947,441,193,868,403,482,152,135,915,371,217,328,975,589,881,847,994,
016,581,655,497,658,114,414,263,305,429,462,757,344,183,594,943,569,451,040,
614,233,658,331,132,041,586,378,987,890,548,711,476,471,810,738,588,455,173,
429,100,637,348,288,675,104,719,613,743,809,300,749,972,930,195,887,642,095,
401,826,596,655,551,641,903,430,778,065,003,920,889,187,901,622,655,095,968,
176,635,785,776,970,216,030,902,366,535,020,266,700,964,580,578,974,126,937,
352,378,596,927,849,012,706,399,661,927,980,505,703,093,341,744,749,743,891,
953,614,232,233,717,315,819,465,652,415,287,515,758,762,691,746,931,990,564,
441,417,447,649,812,291,389,360,514,076,785,312,599,563,160,952,460,240,151,
468,779,178,100,520,448,860,528,984,966,095,255,349,595,384,966,461,030,942,
219,795,192,318,152,387,365,617,145,032,000,938,807,315,132,661,121,047,951,
502,476,895,645,088,640,293,767,108,535,141,714,971,559,722,040,894,693,633,
713,995,877,338,042,628,114,791,206,519,895,213,269,418,468,989,343,091,011,
468,047,409,077,240,451,045,918,192,554,017,838,381,677,762,547,724,407,792,
264,117,203,063,305,581,089,155,999,454,993,135,791,476,423,716,302,682,031,
748,755,741,470,885,945,138,792,245,320,428,504,114,817,542,452,020,203,639,
764,141,157,393,542,683,129,827,675,603,976,520,666,772,670,833,445,581,204,
414,046,750,530,982,254,204,412,273,199,321,496,108,303,337,738,874,352,017,
047,502,305,330,218,976,396,381,365,680,727,642,438,901,862,637,837,389,198,
367,251,099,975,377,865,869,648,576,279,828,120,612,944,197,352,772,056,974,
398,128,081,652,674,751,079,837,079,414,161,946,711,756,331,748,072,507,713,
395,672,769,901,791,573,634,164,733,236,528,162,723,979,696,106,672,871,587,
394,490,075,807,141,794,984,649,381,622,095,473,616,189,129,970,280,381,230,
131,939,929,058,571,327,345,724,098,469,642,965,811,359,238,986,882,529,167,
080,110,223,961,388,727,992,323,332,862,681,016,926,733,694,805,980,537,053,
263,368,045,577,032,295,797,295,454,063,527,231,248,881,339,178,187,388,502,
679,249,058,449,945,108,010,143,417,915,929,716,037,681,314,107,284,825,153,
073,972,499,944,280,924,162,284,617,137,351,153,014,132,337,479,504,492,215,
339,597,777,406,759,241,987,561,261,353,470,380,438,976,778,628,773,384,122,
810,622,776,220,607,533,471,051,751,113,143,881,274,915,708,487,543,993,858,
452,905,169,859,363,529,565,707,935,128,836,005,239,134,860,247,161,437,563,
882,220,248,455,575,071,567,685,048,015,933,311,137,035,213,681,507,479,612,
570,725,862,395,115,596,137,535,840,898,515,763,722,190,849,094,636,912,167,
482,302,829,623,839,165,269,753,685,078,327,788,795,784,477,015,346,132,336,
814,048,160,893,400,772,975,443,527,105,140,989,211,731,299,969,711,786,458,
139,155,956,921,911,068,559,985,689,767,435,741,073,078,572,491,148,618,705,
842,491,267,066,221,028,957,265,559,751,217,473,501,149,303,120,301,893,754,
171,801,418,769,130,940,565,304,685,915,481,418,446,250,386,956,968,572,051,
592,200,937,976,777,191,136,514,715,526,114,807,500,193,119,766,961,470,897,
642,753,437,715,075,858,868,019,152,107,799,337,573,427,083,836,691,984,524,
001,889,867,585,910,546,883,997,254,809,879,199,476,579,932,557,765,778,531,
092,825,620,347,421,313,600,195,082,980,362,758,738,106,565,036,378,343,742,
350,312,572,970,299,957,279,744,417,028,778,322,588,447,260,088,583,008,387,
188,632,242,576,293,924,204,990,263,719,131,368,531,627,615,640,510,088,162,
831,227,655,319,474,077,441,852,004,447,678,396,959,952,261,035,392,429,170,
598,843,792,123,908,883,210,685,887,656,425,440,784,767,656,173,032,418,258,
112,005,898,533,926,700,989,744,654,775,106,893,192,286,319,250,947,691,991,
630,494,062,036,936,171,012,050,301,130,162,940,760,738,038,171,051,948,166,
639,433,283,646,245,256,962,870,461,442,122,682,599,181,854,287,179,801,786,
926,113,924,198,150,745,662,022,856,571,338,519,240,234,061,431,554,019,861,
288,376,528,105,109,106,326,274,186,389,576,620,398,564,213,461,128,996,398,
141,512,781,187,622,590,534,997,430,181,869,859,871,695,528,115,359,449,731,
901,962,167,508,563,706,196,054,947,300,355,739,554,478,077,798,778,866,307,
974,438,305,420,876,497,180,893,443,317,233,129,614,144,969,758,099,476,072,
875,806,113,291,179,656,252,803,968,691,504,905,844,617,838,607,571,438,957,
769,533,604,756,363,610,934,215,897,494,067,114,800,464,926,030,007,846,968,
170,391,103,228,808,477,896,987,010,232,490,621,592,362,327,939,194,809,573,
271,682,133,378,884,140,383,917,493,431,108,192,569,738,730,267,989,454,057,
678,362,350,405,352,107,298,845,065,811,009,892,503,311,392,755,691,922,291,
534,093,371,706,362,545,830,041,345,402,613,257,907,250,577,257,307,469,462,
007,854,004,645,038,715,781,058,579,789,733,846,604,382,459,043,225,868,825,
269,572,221,293,707,930,694,148,017,289,276,767,289,220,696,583,731,395,333,
254,272,155,759,300,395,683,880,726,240,746,014,377,671,630,946,342,697,164,
701,282,891,746,686,504,440,010,299,736,674,978,948,859,842,782,356,037,107,
709,855,334,287,416,629,557,691,756,069,834,998,844,495,252,643,414,454,201,
611,065,399,534,031,514,796,539,072,477,155,608,087,780,661,158,804,326,982,
078,176,583,778,885,621,252,750,356,972,692,800,975,897,860,979,821,814,663,
128,042,913,927,521,245,103,370,300,933,306,239,857,442,139,489,314,807,628,
996,073,437,856,052,115,334,813,793,940,844,571,823,911,208,509,192,960,580,
544,823,138,559,808,253,179,839,969,576,160,177,591,754,481,793,442,680,438,
877,664,374,941,950,328,311,589,642,424,383,253,980,041,414,657,305,985,966,
792,602,248,818,156,612,676,210,438,133,860,646,862,997,086,224,080,753,378,
204,633,710,888,568,784,855,442,115,512,378,886,348,048,273,030,377,137,492,
766,549,775,020,998,431,334,013,150,569,426,759,470,005,010,409,243,510,451,
210,716,868,892,485,510,581,103,930,168,485,630,888,990,140,701,464,745,214,
759,004,207,294,856,101,732,606,852,568,039,552,219,066,022,845,400,324,340,
061,704,311,306,294,988,061,636,633,264,497,138,586,195,470,377,633,489,459,
272,592,748,182,905,513,912,285,757,141,038,405,418,511,018,376,977,224,374,
889,500,602,808,714,443,804,247,281,243,097,310,956,178,407,196,766,537,894,
690,441,888,761,475,444,935,771,197,222,577,040,799,556,430,323,645,372,224,
487,621,006,828,704,660,413,686,136,736,168,681,957,072,157,386,191,774,467,
503,572,189,957,631,874,541,868,967,698,827,321,371,418,224,393,367,176,351,
135,506,835,801,889,080,544,749,888,346,123,207,513,456,543,751,594,099,679,
529,336,588,103,777,648,790,725,896,655,815,605,536,088,026,782,833,656,249,
030,273,672,113,382,861,249,689,136,901,040,640,731,794,077,140,997,570,962,
632,011,224,395,552,445,455,174,043,503,499,579,137,936,051,449,648,230,595,
736,104,594,538,731,222,607,780,231,349,114,535,514,111,192,085,188,325,428,
133,805,160,055,046,904,832,590,065,092,435,628,648,849,571,792,631,378,292,
936,256,161,358,951,237,300,828,125,244,333,734,356,871,783,285,605,413,013,
115,870,043,301,223,009,434,339,925,295,151,503,423,546,975,612,632,271,677,
040,177,714,708,053,212,416,610,137,142,837,624,373,296,702,343,892,525,625,
052,420,673,846,309,403,352,859,531,176,428,227,786,999,553,959,616,848,570,
461,431,893,086,581,952,077,362,695,438,831,031,849,385,639,400,502,104,814,
579,550,013,305,962,538,677,574,253,081,155,823,494,621,459,650,638,517,179,
438,333,416,754,031,059,706,660,117,145,542,437,388,057,931,641,511,480,492,
091,326,878,475,595,357,061,592,822,671,804,069,745,185,673,444,974,591,823,
113,743,420,600,294,070,748,147,900,856,556,033,627,138,141,361,677,796,957,
070,359,355,232,014,842,400,397,517,919,695,621,003,715,670,020,913,672,666,
659,210,013,929,822,993,169,883,386,737,554,243,036,085,446,778,717,640,122,
778,540,551,580,010,246,753,476,894,476,577,011,224,929,110,693,883,633,916,
501,853,353,522,212,346,952,088,794,393,118,590,960,621,717,454,809,673,834,
222,912,281,622,088,093,315,837,030,669,711,150,097,070,804,512,750,992,954,
700,803,037,097,862,163,343,070,777,558,861,176,778,050,178,195,403,484,269,
554,354,374,633,559,594,692,043,192,070,481,365,475,245,207,050,297,303,518,
588,839,240,454,406,982,500,722,272,528,352,738,533,410,425,519,847,121,138,
462,767,260,628,357,343,214,426,747,345,817,579,806,135,713,633,520,235,691,
698,292,074,368,158,910,551,700,141,193,495,372,346,605,235,436,282,099,598,
368,190,840,406,561,816,579,024,089,624,559,678,078,021,668,262,137,051,865,
101,890,814,746,425,611,305,871,474,428,319,825,713,334,344,413,920,295,738,
599,982,798,759,141,282,783,299,610,074,130,157,657,871,179,563,068,066,695,
161,008,660,878,350,673,964,919,865,596,822,771,184,462,928,721,162,593,123,
602,256,479,947,948,424,267,710,389,978,671,255,093,944,827,918,694,345,053,
743,707,435,842,839,436,981,729,962,390,550,345,216,285,326,393,787,305,638,
995,745,292,398,870,178,754,389,122,173,875,687,186,553,472,604,471,155,833,
591,908,948,615,794,865,886,967,089,014,765,335,406,461,368,466,733,489,854,
111,717,017,490,427,366,748,169,869,720,404,168,028,150,571,431,880,482,560,
907,213,802,569,048,137,251,916,442,869,103,748,429,447,179,224,483,197,953,
824,768,555,220,818,061,584,647,982,363,297,771,367,813,580,552,872,137,337,
578,446,860,365,594,688,026,952,680,729,311,096,633,597,466,003,576,713,080,
014,904,971,351,797,158,493,046,963,611,558,502,251,996,532,771,611,911,113,
386,490,481,198,219,597,877,616,101,262,838,609,058,670,984,143,220,011,808,
981,920,252,508,230,054,259,835,303,629,699,168,297,034,440,190,455,489,676,
935,617,353,260,722,086,072,981,450,005,811,070,255,725,335,282,470,863,605,
137,547,876,225,830,182,200,867,172,062,289,640,235,256,011,832,791,807,710,
083,451,200,168,970,777,494,543,965,250,749,981,129,225,953,619,595,510,231,
933,172,246,133,268,959,455,061,773,653,607,382,996,239,921,437,904,515,498,
243,919,919,127,133,114,124,160,081,225,014,351,384,583,783,204,643,298,096,
474,457,524,037,255,190,126,670,707,267,560,291,955,161,143,287,111,191,105,
862,384,849,076,495,740,707,967,994,035,221,800,694,874,972,449,689,225,209,
184,333,001,770,987,303,165,276,830,444,940,385,959,656,762,897,873,766,986,
938,158,667,037,814,822,969,323,186,775,850,406,761,769,259,260,057,686,446,
288,242,501,122,022,472,989,667,335,629,810,416,079,438,168,862,171,844,911,
114,849,835,094,100,771,664,192,900,496,325,549,927,328,130,534,156,364,393,
082,129,282,387,931,938,561,637,969,635,610,313,102,196,024,540,365,377,707,
595,070,478,366,638,382,885,505,246,490,018,981,721,939,542,293,701,844,670,
648,676,098,349,502,482,125,725,464,022,829,095,235,600,292,381,634,765,819,
071,900,292,479,063,109,576,134,269,720,929,048,012,287,520,368,208,672,186,
936,287,720,790,730,490,831,588,099,974,833,020,297,315,940,064,890,335,637,
627,022,723,939,686,210,333,810,394,471,853,522,552,442,907,093,675,034,168,
754,290,875,781,736,208,547,539,278,740,955,651,218,930,870,265,535,951,890,
496,537,508,825,182,900,525,314,632,735,611,087,361,858,759,166,867,551,306,
582,948,952,933,529,140,454,074,869,489,673,632,218,090,279,163,484,417,798,
308,419,593,309,137,829,640,863,528,577,066,504,639,832,769,703,542,780,125,
509,350,436,515,366,057,300,925,620,119,632,002,822,014,713,930,837,335,752,
725,158,363,989,927,365,350,633,246,230,544,878,291,453,394,864,039,090,928,
757,526,247,905,641,870,220,539,039,162,257,856,634,487,414,835,352,338,999,
821,802,537,236,043,144,410,510,099,799,496,882,171,333,196,419,521,430,923,
921,052,105,281,727,597,670,890,163,730,169,101,521,355,430,758,037,956,069,
104,875,516,181,592,544,769,399,070,185,923,287,078,113,409,859,646,536,990,
468,800,269,009,976,569,631,236,898,863,023,153,307,771,108,136,411,330,563,
705,497,342,052,598,321,979,437,027,673,597,284,405,494,361,603,793,744,450,
723,645,224,408,687,165,576,301,313,732,786,076,710,138,354,958,627,698,285,
521,933,804,326,433,740,527,432,551,171,661,584,642,628,853,758,597,648,036,
986,997,129,830,659,665,141,846,505,080,997,763,982,505,467,882,373,506,196,
664,309,844,413,378,705,059,752,985,284,007,188,898,210,196,518,172,633,275,
771,205,150,480,357,738,185,814,118,629,884,043,247,313,407,238,253,986,809,
555,857,562,561,464,460,439,627,540,620,503,985,798,410,859,439,313,201,327,
912,078,743,975,929,571,696,482,993,522,075,722,338,338,742,381,718,747,733,
968,552,329,394,477,616,052,342,353,010,622,892,266,954,559,125,598,919,377,
514,498,526,147,046,875,349,393,512,857,449,728,298,600,082,873,597,961,489,
216,567,204,427,941,797,395,995,111,569,806,411,494,603,849,536,913,501,636,
864,053,359,161,670,143,387,940,227,363,182,262,324,694,278,286,517,254,530,
152,302,783,669,104,083,954,473,330,542,822,859,817,703,987,201,228,589,766,
539,056,527,349,280,965,952,678,876,407,102,930,562,124,492,926,268,200,641,
975,830,006,816,429,061,820,687,668,476,344,603,689,754,170,075,227,298,062,
035,078,121,475,556,070,072,173,629,448,713,978,721,681,648,303,498,808,853,
907,172,454,955,170,706,242,501,532,422,399,558,107,130,891,742,030,581,624,
809,204,368,206,906,442,156,294,272,953,202,561,849,762,895,354,492,917,883,
215,954,222,226,226,170,109,441,817,448,963,884,832,723,827,134,418,912,587,
356,487,359,425,070,466,967,569,006,879,301,853,638,956,408,256,035,904,677,
896,780,970,026,710,320,185,055,987,115,830,111,228,631,532,199,106,427,445,
942,302,148,216,122,462,660,944,583,819,988,831,741,142,495,355,494,398,393,
999,466,933,059,199,316,401,386,671,796,872,631,611,998,386,119,405,909,208,
951,113,590,065,397,113,231,341,407,418,359,819,724,688,207,294,127,972,088,
107,377,873,953,795,049,291,444,667,291,878,035,855,209,912,765,002,266,617,
225,703,165,911,510,944,539,733,449,757,574,046,222,327,110,254,388,106,867,
831,182,879,092,978,788,720,492,817,367,560,610,069,899,084,738,523,600,367,
754,475,753,410,672,904,014,321,817,964,710,004,550,557,678,683,853,109,375,
158,249,662,478,006,525,697,373,791,284,863,579,314,703,700,694,350,769,863,
084,886,192,474,796,968,914,208,232,963,239,183,747,440,375,956,764,058,701,
815,856,757,576,236,720,320,565,063,594,283,162,881,777,193,149,745,390,947,
980,507,052,319,025,124,290,467,706,827,299,260,140,262,525,036,050,475,863,
935,084,020,132,411,112,666,434,090,649,603,318,097,832,793,358,174,207,471,
072,480,021,793,229,381,763,872,232,624,269,572,532,881,233,518,207,921,039,
447,052,134,782,612,961,973,013,919,806,234,571,313,799,503,850,990,910,973,
732,207,360,837,160,783,327,476,872,842,207,070,361,395,830,403,744,020,889,
373,983,876,249,685,311,703,574,385,168,336,294,122,444,693,690,257,641,639,
536,256,727,392,230,562,851,623,916,634,917,384,294,016,804,870,094,349,665,
551,238,440,997,071,991,232,210,926,311,114,829,206,290,340,348,443,945,262,
019,629,011,270,279,764,290,305,890,282,629,711,382,079,580,393,651,809,017,
511,473,799,821,274,171,778,316,620,677,556,288,624,364,962,359,928,735,377,
289,091,778,817,435,510,925,838,994,208,244,912,525,206,223,366,427,418,587,
294,965,281,874,393,240,330,691,134,157,762,501,518,481,013,345,016,512,390,
852,541,400,556,399,594,458,891,311,717,938,682,096,369,274,671,952,244,730,
175,639,722,488,172,712,938,738,436,834,803,270,545,108,559,384,213,854,468,
148,542,555,913,204,767,177,220,581,843,579,735,951,080,840,429,032,355,527,
725,994,453,004,873,785,131,799,591,864,370,685,658,577,483,901,166,953,697,
130,660,084,018,927,225,624,351,310,988,908,548,148,343,192,276,481,869,484,
806,206,017,913,773,850,149,726,479,749,328,717,059,492,590,386,643,263,010,
489,644,873,872,915,748,740,123,035,443,688,881,141,208,605,203,359,117,449,
808,116,826,290,336,956,333,511,298,031,637,114,991,054,071,406,860,228,002,
397,260,119,546,223,316,601,694,226,986,070,121,112,703,939,014,744,871,965,
912,704,159,026,347,031,904,846,596,877,529,634,542,593,476,410,759,795,618,
945,549,111,580,709,443,821,641,933,592,521,021,012,539,984,458,821,539,263,
151,701,417,657,664,397,216,187,879,953,891,873,947,729,122,212,577,593,814,
689,637,315,720,935,511,706,247,592,251,914,106,986,457,021,066,893,261,474,
423,427,056,480,699,601,695,796,916,618,088,595,559,419,173,085,071,021,618,
799,952,566,592,791,503,838,374,433,402,750,400,260,023,096,353,531,177,996,
714,615,646,597,244,681,621,152,821,679,399,240,415,892,927,619,745,665,911,
398,536,701,938,103,983,664,838,930,516,057,147,770,686,936,218,304,058,533,
023,734,719,711,377,135,201,836,735,325,909,210,721,126,507,968,978,861,360,
550,203,523,015,244,325,886,328,006,567,547,300,700,499,299,147,813,096,945,
393,774,729,037,549,339,395,688,211,881,987,523,370,635,609,926,706,206,600,
853,194,124,254,686,950,343,859,119,467,637,324,258,385,723,546,731,605,452,
952,256,726,603,409,282,619,851,223,068,193,274,144,187,878,142,807,450,131,
932,349,156,387,462,501,700,411,764,245,842,028,877,442,203,138,743,990,575,
186,836,049,174,455,537,284,701,628,132,913,525,813,299,927,453,825,051,583,
012,990,971,484,659,871,790,054,446,884,248,138,797,155,108,724,271,260,278,
792,403,053,892,177,463,209,814,003,278,235,603,592,741,746,021,308,818,266,
228,626,250,132,903,591,895,151,535,176,710,717,302,800,674,897,300,077,981,
845,246,884,322,294,376,096,423,930,973,437,625,857,558,918,202,760,702,264,
211,563,782,105,747,477,994,598,201,787,158,001,247,043,838,401,857,410,690,
853,430,149,480,897,008,929,439,777,450,812,638,846,641,839,637,837,757,639,
614,542,191,146,953,497,940,286,254,676,630,755,684,243,568,081,759,078,446,
376,647,516,318,682,097,442,508,736,049,090,740,365,264,220,460,530,201,699,
641,072,155,620,222,554,128,048,507,267,063,598,175,954,734,129,320,559,904,
939,444,316,739,546,865,149,669,757,297,271,720,358,475,563,629,796,373,563,
132,720,928,787,681,074,419,609,957,793,621,275,192,656,520,904,482,243,025,
899,906,658,436,212,692,485,367,468,213,268,904,986,068,630,594,890,882,517,
470,437,426,281,270,240,435,258,606,468,911,251,285,439,671,990,170,214,543,
707,884,752,806,492,178,710,727,902,031,167,198,018,959,182,791,056,310,013,
011,101,157,271,983,618,398,551,637,767,231,139,670,195,020,616,916,138,551,
964,051,774,657,920,983,998,496,023,840,680,494,373,864,235,367,452,655,671,
161,863,120,416,810,629,652,955,562,332,682,727,705,846,982,363,482,202,451,
681,030,364,740,040,037,443,769,148,897,057,984,882,272,653,501,383,699,862,
936,129,457,295,937,093,613,610,693,434,874,744,053,655,556,844,585,893,736,
540,476,765,345,575,885,969,563,168,301,123,745,809,710,931,473,875,355,953,
779,737,606,232,609,707,446,603,724,892,415,687,020,936,880,543,936,523,039,
102,882,199,781,442,465,188,461,087,276,980,032,220,272,439,137,149,130,178,
351,843,995,894,036,726,540,400,897,717,865,309,982,709,666,120,231,842,739,
948,046,402,529,075,086,865,398,583,372,244,689,980,566,907,441,650,221,982,
446,499,885,232,692,945,204,053,771,338,532,533,939,781,715,883,362,068,045,
710,897,013,101,596,719,990,959,444,219,024,069,056,698,677,647,274,493,476,
849,586,166,201,697,168,703,638,885,414,831,151,888,060,424,405,735,495,931,
165,271,150,153,250,589,987,891,710,687,937,678,729,815,456,713,463,156,821,
773,402,288,531,721,767,610,580,770,170,260,842,779,784,109,053,913,440,059,
673,031,622,491,035,606,081,073,999,794,737,024,785,618,415,813,228,746,193,
167,160,421,349,512,703,670,420,341,562,548,988,547,474,414,945,047,167,120,
586,574,132,887,083,124,075,624,616,155,497,423,922,147,464,247,620,389,823,
831,168,919,304,779,825,477,623,674,344,225,663,718,049,129,011,186,691,196,
092,633,236,377,297,436,318,943,976,775,630,435,774,832,181,030,086,170,013,
807,622,375,611,929,967,855,125,817,176,989,661,563,080,217,316,388,018,895,
501,028,014,834,988,255,327,136,615,366,615,365,734,991,157,343,120,254,378,
124,849,494,080,157,871,787,362,614,517,657,972,955,084,761,257,197,617,732,
769,660,389,646,359,091,112,514,261,471,067,311,326,004,138,128,962,211,891,
859,167,930,796,612,494,276,714,695,752,420,522,646,523,405,741,042,690,059,
512,065,307,642,052,546,713,637,394,813,677,727,793,534,452,575,124,564,461,
111,737,556,952,563,077,250,920,701,534,402,774,261,477,335,585,148,536,216,
103,831,328,883,495,541,766,885,344,482,083,487,139,976,730,696,939,585,884,
528,532,314,894,715,800,511,907,089,609,987,607,231,152,433,553,444,120,257,
643,946,733,114,953,357,969,536,362,696,241,737,708,271,176,947,725,771,571,
935,838,836,976,706,707,565,205,193,656,144,715,295,885,150,057,460,578,960,
810,538,581,070,960,093,642,557,605,767,013,113,897,159,530,787,066,467,911,
747,407,063,960,178,762,226,931,114,002,394,163,585,921,512,398,948,757,067,
427,990,088,179,708,031,835,355,513,954,527,861,479,782,602,962,819,299,753,
177,241,520,491,698,909,089,751,412,575,196,861,159,204,049,536,622,981,637,
989,245,779,388,157,701,696,204,530,481,150,662,656,968,248,603,686,136,298,
727,643,752,845,668,135,168,108,850,606,630,707,919,936,616,366,894,243,879,
119,355,581,065,656,982,683,503,433,896,716,838,408,117,220,823,072,925,311,
953,750,470,002,866,746,476,982,454,735,384,172,000,526,702,486,729,742,080,
800,199,787,675,519,559,229,513,131,835,293,871,137,956,822,868,643,485,194,
516,976,647,397,537,654,128,303,294,647,216,249,127,289,372,039,261,959,450,
917,417,673,428,406,036,961,789,638,196,823,816,516,012,832,432,454,869,778,
341,295,732,301,034,186,132,992,386,633,387,138,230,529,630,065,750,290,576,
547,995,033,185,309,244,508,180,183,390,356,553,707,197,191,026,632,007,514,
003,459,630,569,665,127,079,067,452,164,933,631,279,608,446,129,224,425,021,
274,140,622,689,364,007,935,538,005,718,427,989,348,295,118,069,179,767,832,
256,510,250,787,272,289,048,912,629,349,377,506,169,448,717,276,563,258,952,
690,579,689,085,148,957,672,823,610,818,730,282,615,634,588,958,555,513,398,
758,210,032,380,300,468,040,889,146,224,058,188,643,768,496,863,336,373,466,
156,773,130,866,870,891,754,912,622,904,557,280,660,026,544,670,023,567,075,
696,149,614,109,084,719,645,074,663,228,159,274,091,480,412,760,777,889,872,
888,129,394,991,003,028,630,802,110,050,046,693,237,436,272,425,885,058,680,
163,613,531,740,393,081,989,095,771,832,419,658,519,476,717,911,132,453,783,
941,414,539,142,687,736,448,368,284,247,275,408,546,257,729,236,001,571,665,
872,544,572,032,970,905,075,641,749,457,459,275,966,176,463,092,545,684,771,
752,081,016,720,823,328,192,797,290,256,714,383,446,410,264,039,949,112,695,
944,996,291,416,975,550,710,596,393,714,850,180,064,046,084,519,618,361,252,
243,071,078,750,621,369,470,282,388,829,014,388,792,456,781,681,905,356,082,
936,593,539,701,955,563,412,073,739,356,744,218,512,978,794,402,972,748,030,
759,175,109,110,747,211,492,749,711,082,533,117,724,406,074,539,941,700,414,
561,859,376,048,604,536,385,954,636,607,352,295,533,372,066,941,012,080,765,
674,365,222,572,398,309,092,123,298,104,407,586,047,752,929,524,140,769,723,
145,061,079,401,299,455,273,484,057,544,519,534,989,359,669,357,516,166,400,
178,503,370,860,216,223,223,177,564,769,039,329,265,342,061,217,772,904,454,
160,756,566,015,297,933,663,221,082,336,926,408,243,994,403,112,352,313,166,
329,761,373,202,509,753,556,252,268,409,516,702,662,568,691,339,300,543,253,
663,610,265,543,583,811,192,136,089,223,043,556,461,826,150,072,062,195,821,
483,503,349,612,044,539,876,527,078,690,852,496,212,094,583,660,742,838,431,
919,642,082,225,369,325,718,366,775,593,762,463,802,056,156,789,405,928,800,
643,960,490,743,567,646,797,601,179,369,554,600,914,862,336,739,932,072,661,
231,298,888,404,646,250,543,029,867,780,803,562,391,200,698,848,639,434,947,
816,573,108,399,704,558,292,750,533,542,254,906,854,450,551,430,632,833,104,
573,379,379,272,198,056,145,597,763,220,698,617,941,225,115,814,686,469,879,
177,465,202,894,710,265,837,550,915,962,640,123,467,889,890,752,758,437,760,
479,256,217,936,917,590,873,610,102,427,903,124,189,754,389,559,610,673,311,
969,053,869,518,549,825,634,500,943,648,205,023,158,298,481,937,117,667,755,
476,389,392,534,800,669,133,587,461,381,636,472,502,899,292,099,703,187,719,
953,935,916,470,224,277,071,538,600,440,064,769,073,380,033,531,590,676,931,
437,901,519,860,177,592,696,336,775,036,590,130,935,587,156,516,189,001,930,
036,412,450,802,500,036,216,660,168,468,944,219,003,636,610,128,175,906,108,
646,950,587,200,604,832,870,093,434,927,741,741,651,391,362,307,243,340,204,
004,957,185,535,474,211,318,472,378,725,604,862,243,779,895,734,340,563,310,
462,278,698,067,644,584,244,832,696,120,534,633,422,177,895,360,543,426,293,
786,022,492,898,821,672,831,268,961,144,104,158,587,555,805,380,894,987,375,
913,961,201,442,304,077,796,995,440,165,903,119,537,110,485,128,964,267,878,
018,289,530,493,228,323,208,604,099,969,929,998,123,621,649,148,199,034,580,
614,928,697,541,068,436,212,423,268,553,921,766,659,485,492,561,964,571,714,
653,986,531,197,976,439,026,896,770,976,769,761,420,904,004,322,097,731,914,
324,860,251,676,524,209,551,442,672,586,541,892,508,239,785,925,939,232,229,
826,862,426,279,182,647,935,272,713,151,378,505,400,918,070,488,144,584,743,
961,224,973,136,216,100,534,584,554,970,796,501,383,314,183,933,736,282,208,
480,324,165,962,922,759,828,787,065,538,937,782,282,565,311,705,311,342,424,
941,447,001,519,189,199,671,197,483,205,902,329,640,910,651,973,070,914,333,
191,363,633,068,927,594,296,948,988,731,292,503,930,834,580,294,560,650,403,
880,715,299,877,930,921,834,626,435,402,260,122,764,017,843,997,087,320,340,
911,640,508,676,672,036,534,632,387,453,385,113,777,492,541,589,579,371,541,
004,336,842,160,797,926,595,305,820,220,412,856,767,376,246,204,533,597,288,
005,859,021,100,233,659,192,240,245,043,602,567,444,813,304,240,399,429,028,
407,787,512,205,501,613,196,040,516,586,484,614,583,498,607,946,438,036,373,
373,426,127,154,237,479,081,981,951,113,110,932,979,386,965,995,462,262,996,
319,551,594,533,458,484,161,090,398,227,566,949,261,977,829,349,090,533,353,
247,689,455,482,945,056,495,638,542,514,838,232,811,335,649,308,183,436,286,
062,232,543,735,639,743,607,556,065,324,920,795,048,248,466,534,939,527,316,
191,492,350,095,315,274,269,265,641,520,177,988,152,183,514,830,525,105,227,
119,170,982,631,691,619,089,623,324,865,665,397,358,836,328,718,990,890,808,
709,294,310,644,289,120,303,069,612,295,127,102,951,443,007,870,736,602,465,
418,647,998,488,007,514,346,266,193,440,067,820,771,382,184,411,945,059,214,
635,842,164,440,911,876,288,247,824,496,102,866,279,782,687,552,048,824,685,
840,456,798,382,197,956,373,794,717,419,406,506,027,588,940,045,409,856,467,
331,360,910,657,959,782,897,684,907,983,499,520,246,557,508,379,206,215,356,
783,122,332,687,814,146,831,596,950,188,933,374,410,918,345,034,001,556,991,
560,827,496,646,333,879,543,178,243,983,194,488,312,160,840,366,608,893,002,
785,582,505,557,296,585,526,543,075,740,350,012,418,528,981,422,005,794,203,
894,134,296,446,674,801,590,983,365,505,511,256,856,947,007,163,510,011,169,
712,365,039,243,087,187,095,221,475,954,139,119,190,216,584,870,360,675,406,
145,417,115,633,194,522,709,434,915,343,063,143,489,581,788,806,105,205,313,
885,274,569,606,429,992,758,004,836,752,207,823,766,763,260,585,996,450,061,
861,738,940,670,316,459,885,687,984,627,502,594,953,119,662,451,905,532,843,
327,005,045,581,752,941,982,559,173,902,068,311,489,018,249,450,144,042,888,
371,910,949,188,614,274,746,719,872,774,229,868,232,022,175,257,256,683,436,
080,905,968,576,089,749,028,370,911,417,868,894,670,908,660,302,835,734,155,
421,653,213,992,232,054,585,720,856,312,577,677,061,988,134,413,979,720,427,
156,027,349,130,893,435,896,965,418,896,547,348,995,088,924,436,037,071,709,
793,299,440,074,708,503,537,607,619,261,368,484,675,120,044,281,484,716,772,
779,835,484,135,964,219,525,465,964,609,872,180,733,136,076,614,101,523,882,
283,184,403,362,800,434,249,122,388,096,027,747,920,503,887,599,841,849,507,
806,287,336,151,717,902,929,125,588,011,687,969,174,403,536,594,169,498,946,
668,789,597,350,120,800,758,874,107,755,632,067,251,190,796,800,270,190,351,
393,823,529,947,011,750,080,309,576,779,668,426,092,269,633,278,127,329,162,
298,350,279,012,118,119,048,109,103,984,019,061,334,871,020,461,804,872,881,
375,656,741,821,828,803,901,607,708,172,308,756,889,821,335,709,427,919,809,
713,529,267,458,389,627,124,660,682,042,589,939,196,272,806,331,578,095,152,
827,884,081,319,618,425,712,615,152,476,858,654,303,556,175,377,388,957,483,
058,352,198,351,482,540,391,444,220,403,981,562,385,254,069,117,414,049,404,
492,720,113,711,033,177,535,451,420,678,307,883,214,942,445,168,329,023,063,
420,151,277,668,529,417,271,224,978,344,260,366,261,734,616,676,285,359,781,
945,295,150,993,967,885,391,205,339,284,279,130,967,412,697,406,232,916,498,
250,762,351,905,198,656,758,331,542,692,181,745,568,393,179,864,234,989,889,
652,095,013,600,881,883,656,896,452,779,466,249,470,093,863,141,579,665,507,
872,275,168,103,905,314,867,752,364,245,805,723,696,912,105,033,607,720,120,
396,643,543,816,430,926,292,787,275,181,302,965,543,550,524,284,437,952,063,
702,942,993,059,418,492,606,614,343,079,548,927,611,489,626,430,884,326,813,
813,489,217,983,929,010,352,525,798,922,932,602,634,919,790,747,166,842,015,
947,874,445,586,376,649,695,653,917,946,299,646,231,021,587,560,166,337,353,
463,112,820,595,086,284,692,206,635,485,878,099,269,957,288,848,790,018,473,
850,850,694,865,868,878,319,260,982,012,845,825,650,927,562,089,575,201,176,
385,543,741,824,946,258,236,133,629,988,291,805,668,147,188,685,173,865,698,
099,509,134,842,599,331,926,726,421,791,939,045,409,718,486,569,476,415,004,
897,661,318,709,401,101,458,015,500,861,424,161,852,332,844,934,432,970,748,
111,180,906,688,662,913,284,281,418,367,257,962,685,986,049,474,336,899,836,
146,042,989,545,428,307,010,720,194,710,318,218,990,428,171,315,600,990,099,
997,259,552,499,235,870,706,530,262,558,121,438,008,249,948,822,459,407,780,
223,289,764,618,729,949,030,182,195,038,159,464,652,177,483,249,816,198,862,
275,997,202,087,186,630,198,820,205,377,470,918,583,180,881,774,959,995,938,
529,793,462,074,549,171,651,782,474,148,299,052,436,008,939,031,022,074,802,
304,590,005,701,969,118,936,045,888,559,469,758,756,453,567,828,483,171,764,
114,802,223,881,784,963,667,776,956,247,998,562,183,966,191,425,041,046,427,
216,010,888,236,936,565,473,961,723,235,746,041,537,101,498,413,577,903,421,
352,626,711,683,359,284,566,058,950,113,047,459,177,110,487,981,589,117,557,
146,102,515,993,305,216,088,435,126,740,490,056,561,454,648,803,839,103,586,
064,736,386,154,691,892,680,423,793,295,967,126,642,713,885,811,274,427,489,
416,101,618,339,050,957,318,086,513,088,596,063,297,828,851,351,842,808,838,
241,443,538,206,199,602,543,996,549,732,377,643,349,753,518,350,153,945,589,
720,805,485,904,881,696,542,113,378,568,485,347,050,492,363,671,855,129,137,
085,874,726,258,535,518,183,782,770,449,197,694,781,927,316,110,555,997,980,
706,663,860,241,275,660,459,239,031,705,871,835,428,524,103,008,529,871,712,
256,234,420,195,966,622,406,041,718,550,342,599,337,062,501,867,713,450,363,
297,226,657,766,547,004,527,484,847,711,801,239,411,179,037,244,120,853,343,
391,935,381,052,917,625,729,994,524,982,109,381,282,861,933,147,347,181,600,
322,832,732,901,009,242,258,089,066,834,133,918,262,411,015,034,575,740,407,
457,952,742,806,355,745,106,926,585,546,805,131,339,072,585,328,159,503,039,
746,065,914,542,192,580,472,914,777,543,189,187,457,568,896,856,448,409,564,
372,660,051,692,845,396,972,115,974,272,377,102,115,714,369,475,313,685,476,
335,561,260,781,768,092,851,317,553,922,246,815,305,224,484,571,500,768,610,
250,970,108,722,566,561,091,294,375,862,949,847,066,398,399,942,916,897,002,
460,386,951,420,916,837,985,718,185,137,646,973,621,302,905,028,869,458,595,
729,108,300,725,950,683,029,389,976,614,308,904,036,998,629,300,620,318,694,
079,213,606,744,167,277,621,430,943,339,962,531,269,106,362,083,196,188,355,
370,621,369,642,338,421,188,401,667,179,613,251,308,851,357,187,528,641,419,
370,945,807,381,903,012,837,860,391,814,075,959,086,378,790,205,098,902,408,
313,770,766,892,040,765,748,680,458,343,397,547,336,976,567,546,786,732,990,
958,652,987,542,885,161,998,786,663,216,878,994,301,090,524,558,932,441,626,
486,864,543,220,086,978,910,278,753,097,211,127,571,746,781,076,613,394,446,
968,334,573,070,735,496,368,658,533,645,993,158,559,172,996,234,052,612,091,
945,397,661,655,013,893,189,499,814,269,268,639,008,460,785,704,847,436,006,
177,090,681,356,744,661,463,632,261,287,273,689,321,873,748,442,865,050,236,
576,924,973,001,706,260,056,134,216,545,868,832,034,882,198,110,450,458,475,
845,764,404,126,536,575,832,902,573,840,936,163,400,893,226,698,411,746,251,
588,109,189,687,445,853,603,028,628,404,340,931,810,924,634,695,570,905,191,
000,597,406,609,116,276,013,690,245,775,314,744,170,115,031,809,508,156,421,
111,936,906,464,984,168,163,002,709,744,809,526,563,584,055,457,967,364,207,
080,262,541,875,818,982,165,084,074,509,933,026,475,215,609,838,113,727,505,
740,937,777,437,364,902,753,773,182,123,336,940,718,801,660,255,868,770,842,
862,665,822,541,272,702,351,751,260,295,485,771,376,840,163,416,679,135,835,
352,313,725,127,475,081,347,064,175,657,119,413,557,952,387,724,270,940,434,
435,588,543,329,165,926,058,921,662,915,210,334,727,353,802,127,900,255,969,
882,712,519,773,743,376,285,405,423,648,062,845,403,969,428,226,880,740,518,
143,241,833,711,574,244,320,901,958,473,597,787,273,086,810,055,005,419,352,
127,330,324,095,276,837,690,998,389,237,016,814,167,560,617,319,311,872,679,
142,548,399,620,748,492,404,088,365,536,337,063,685,974,231,838,236,756,489,
823,306,189,507,144,434,500,635,158,155,288,188,936,014,990,617,790,612,112,
770,283,823,043,315,519,961,210,673,112,513,427,138,233,853,265,738,151,216,
191,944,443,395,095,267,980,533,451,031,576,621,488,086,291,478,778,218,613,
073,082,044,575,725,720,473,402,524,327,609,904,134,937,625,535,791,572,688,
449,638,519,531,783,040,327,589,015,793,341,132,077,855,227,870,389,214,923,
290,582,957,720,259,413,800,121,147,461,705,201,972,328,626,431,963,859,262,
868,623,331,831,285,811,033,922,259,659,544,145,679,911,370,649,357,939,360,
549,614,862,397,318,564,676,521,814,920,842,753,774,107,270,798,581,432,823,
777,922,623,752,008,169,630,291,684,896,164,688,731,879,992,528,999,888,085,
489,114,241,325,847,611,590,774,162,367,727,525,593,997,934,384,653,638,399,
102,705,483,561,891,739,367,154,997,636,366,979,012,379,478,708,585,719,185,
502,865,857,215,071,190,754,963,424,916,282,740,941,217,288,725,445,890,582,
690,431,751,740,188,518,501,997,271,823,637,852,908,216,203,710,436,882,512,
982,819,954,536,189,682,009,868,993,783,017,501,050,118,439,075,499,752,067,
310,388,105,752,442,873,002,960,415,636,991,509,393,995,336,358,314,103,676,
462,518,750,422,505,092,063,453,668,782,824,583,879,482,741,051,691,237,079,
613,737,587,408,430,337,524,766,086,772,320,853,247,778,364,671,248,631,124,
009,736,081,263,512,660,797,700,479,121,811,723,221,402,921,656,973,923,322,
050,899,005,275,676,544,736,759,823,092,247,405,950,081,956,185,442,303,529,
748,496,183,253,395,401,406,753,842,611,199,723,529,052,692,796,305,093,489,
481,944,558,188,691,801,613,065,484,891,103,249,487,268,429,876,824,592,571,
417,423,119,492,894,861,800,183,467,873,890,278,944,109,591,126,581,530,696,
992,891,484,618,303,021,610,533,305,767,308,602,563,548,372,210,054,685,483,
521,324,097,733,259,486,030,723,873,161,706,882,810,066,793,864,363,179,768,
889,092,835,765,962,178,286,876,035,513,090,034,452,274,195,315,880,801,436,
905,017,413,005,884,438,608,606,276,590,396,296,994,733,050,201,732,525,895,
687,022,642,599,849,669,091,366,029,623,605,507,917,730,370,521,193,829,341,
497,424,813,451,687,031,444,588,870,211,743,182,823,410,057,901,641,711,432,
933,111,259,074,032,590,084,627,201,329,850,873,667,623,975,419,580,246,283,
746,055,446,177,908,779,361,850,045,415,449,556,366,335,212,486,665,332,082,
894,891,486,281,177,088,473,096,063,211,513,931,408,307,855,139,876,427,254,
206,108,299,389,328,062,921,543,088,617,346,831,543,128,975,413,831,654,515,
261,304,246,139,074,848,124,930,959,935,973,505,981,345,609,284,234,777,768,
560,312,652,177,936,672,591,175,488,518,635,841,787,135,926,155,065,545,032,
257,468,792,228,918,337,364,771,074,956,480,792,508,775,942,944,807,226,270,
018,541,394,866,543,294,039,994,142,563,617,432,517,248,868,233,968,806,006,
889,180,715,419,287,981,948,631,587,969,324,328,536,549,441,406,303,325,933,
600,695,081,895,738,983,865,574,602,598,465,947,487,306,844,808,047,624,803,
062,664,744,815,268,935,400,452,669,595,367,098,271,111,910,217,882,071,386,
107,011,487,302,207,497,427,650,741,999,878,441,669,637,921,776,983,116,331,
343,616,621,729,096,666,058,892,068,603,519,242,408,494,042,707,711,795,507,
806,238,458,844,018,158,944,054,251,484,540,540,817,327,057,832,363,846,652,
454,943,481,097,789,761,641,600,360,159,578,398,655,457,639,143,563,136,990,
167,199,613,623,967,321,668,306,866,378,501,094,148,293,128,665,430,100,088,
214,784,582,174,199,120,557,195,707,310,724,610,620,317,043,769,615,149,730,
398,568,268,168,134,017,173,402,246,723,766,143,800,293,933,608,213,087,116,
393,098,989,489,046,196,266,150,524,824,266,691,511,392,437,809,636,423,330,
662,243,019,406,702,150,175,890,046,349,606,512,206,457,310,216,414,238,931,
227,325,233,982,759,856,576,095,442,229,598,091,940,421,395,134,968,723,710,
171,259,774,645,149,836,423,586,691,781,427,507,794,626,928,379,552,183,802,
498,169,155,237,287,374,643,766,313,992,094,741,822,649,193,697,835,134,969,
009,945,754,124,627,999,122,115,627,868,826,804,919,658,998,118,849,410,631,
100,516,222,977,834,255,414,229,880,932,872,141,586,192,683,822,825,852,200,
322,792,909,891,317,528,853,257,653,897,557,062,569,666,605,415,017,275,182,
152,272,904,999,679,043,538,665,527,378,580,911,306,384,952,170,348,011,458,
889,761,294,506,210,708,265,752,087,643,130,694,202,145,265,766,555,887,290,
094,596,133,056,716,653,022,455,853,974,004,286,772,234,132,592,608,168,683,
268,748,523,035,928,400,030,028,236,284,942,255,527,627,067,234,500,549,087,
486,217,263,479,487,930,890,898,049,578,051,859,843,078,193,281,739,379,178,
427,414,742,217,637,288,660,886,158,904,628,310,674,882,272,619,314,980,761,
073,048,401,203,063,994,637,131,745,092,804,899,511,834,274,974,607,282,917,
348,996,232,786,976,479,628,222,838,117,199,562,283,958,527,692,515,084,401,
711,120,508,054,131,258,441,784,650,741,868,350,474,488,130,905,511,246,246,
150,742,166,868,290,194,401,539,557,354,365,874,596,830,591,690,335,827,000,
580,438,046,585,964,574,045,599,106,747,141,342,731,116,324,135,451,258,092,
891,239,320,168,737,043,891,901,228,635,658,841,903,467,084,763,878,447,927,
601,295,310,310,094,499,082,058,317,147,542,314,191,345,464,470,119,647,663,
727,365,498,501,892,493,006,814,575,295,803,829,308,626,954,402,401,875,317,
147,364,811,480,903,729,245,224,653,735,160,058,400,559,532,893,970,311,669,
086,868,033,559,377,066,030,593,081,950,399,852,454,687,786,612,607,781,257,
515,515,423,417,846,736,892,219,723,198,663,818,496,795,794,399,494,008,682,
304,447,372,803,759,034,212,210,766,059,055,475,207,663,540,314,352,761,932,
190,122,384,833,102,832,357,759,224,806,813,168,651,902,892,059,829,551,382,
460,389,214,186,643,359,646,440,348,752,716,270,397,701,446,553,542,939,972,
483,593,913,897,537,313,635,224,829,893,074,265,875,346,316,637,402,766,243,
191,984,178,042,302,736,246,186,173,255,729,296,416,070,777,421,746,198,389,
993,603,118,267,782,930,015,800,329,494,458,715,457,276,689,573,915,853,996,
087,038,368,034,833,101,920,759,078,373,293,874,569,809,560,048,454,983,071,
239,311,405,800,270,385,787,726,818,906,024,811,979,573,073,348,818,719,571,
336,224,841,342,858,443,120,107,496,093,556,195,512,277,366,118,832,274,850,
393,452,878,384,076,217,103,017,662,366,377,571,158,129,889,729,979,273,635,
210,391,077,861,560,826,093,615,814,678,297,678,375,124,742,110,789,654,438,
246,622,536,434,606,668,006,569,770,366,482,987,526,194,073,206,725,442,297,
638,702,319,524,479,885,080,564,050,186,264,807,643,231,036,674,613,676,337,
729,867,163,753,781,034,476,688,421,782,443,274,444,654,782,339,778,571,311,
176,143,195,551,577,309,431,775,344,985,879,342,259,065,645,368,469,259,466,
321,347,005,239,623,567,530,452,289,811,788,687,374,157,883,403,468,110,389,
083,067,065,963,129,622,167,426,161,119,282,300,847,185,244,979,359,471,338,
346,572,269,639,316,795,096,354,019,919,884,178,047,971,088,481,552,361,748,
682,829,580,694,791,033,788,537,932,727,893,715,377,734,917,063,649,893,473,
917,088,223,996,984,942,241,519,531,531,810,378,951,065,932,057,880,559,066,
454,909,296,243,368,842,917,598,447,637,528,662,837,837,215,000,507,967,572,
900,759,250,609,007,167,563,373,383,768,321,681,162,467,433,673,841,864,707,
245,078,331,343,508,722,867,764,704,248,156,546,292,572,596,523,619,041,472,
744,246,925,416,710,644,691,172,136,304,971,853,344,271,520,726,927,943,121,
672,615,669,172,479,619,056,217,744,527,387,992,148,988,300,236,996,943,074,
380,543,799,074,811,595,903,339,403,158,763,602,355,187,710,440,410,436,123,
856,910,174,271,937,548,394,817,792,120,208,530,596,306,082,557,659,779,699,
621,117,063,318,401,425,475,624,223,562,426,157,473,416,910,141,439,782,404,
337,820,117,184,137,551,488,453,548,937,690,716,831,917,251,868,770,390,464,
371,325,264,427,548,313,737,613,978,694,355,618,450,231,981,138,637,107,192,
639,001,756,037,109,865,670,945,043,707,501,104,775,754,470,141,560,752,281,
598,799,947,723,097,160,215,099,410,346,730,228,351,238,916,016,669,372,271,
887,239,091,453,701,758,761,561,532,655,436,228,556,620,057,894,842,581,440,
350,298,406,902,731,599,875,265,409,570,367,493,214,782,874,563,975,609,453,
727,020,379,445,116,204,485,604,262,690,485,591,068,650,635,566,256,998,998,
988,339,030,672,014,520,329,095,241,016,319,656,139,609,254,453,915,050,308,
437,655,327,825,099,730,120,695,839,624,703,709,892,142,241,755,334,486,752,
704,454,488,887,399,366,206,835,186,824,086,484,886,769,686,382,499,810,484,
431,365,013,388,628,939,443,933,579,156,072,192,432,797,568,895,681,786,777,
316,112,435,479,641,839,054,096,661,124,787,426,209,634,919,970,837,047,850,
821,488,107,026,634,323,974,870,427,957,215,577,385,482,146,153,366,972,595,
779,884,002,391,031,962,292,510,449,890,398,928,351,683,949,652,925,454,602,
202,571,468,146,710,112,463,606,406,556,023,702,539,380,727,318,750,685,413,
802,228,482,989,252,034,041,067,660,407,526,379,322,383,977,952,695,365,377,
918,964,151,259,531,913,447,263,162,021,481,314,944,601,205,265,408,389,383,
586,451,190,563,148,481,591,466,199,154,574,141,040,303,383,616,081,889,538,
010,515,948,765,211,963,218,968,814,611,984,797,943,160,199,296,261,214,017,
520,278,241,041,821,091,002,166,508,027,392,687,890,523,623,884,105,201,811,
179,539,906,593,825,869,812,145,969,381,321,963,219,701,111,297,820,017,673,
617,340,475,419,088,654,016,457,250,232,816,632,116,867,285,573,224,027,387,
893,275,209,694,026,049,125,071,985,872,629,732,016,704,019,173,677,632,245,
626,947,647,075,877,320,208,687,818,436,284,112,334,087,321,807,114,116,902,
963,681,270,677,489,226,423,473,882,577,784,376,679,032,264,480,538,545,197,
513,921,930,594,538,161,531,765,996,111,646,030,360,627,879,459,173,952,216,
697,488,469,979,236,331,414,297,236,240,991,159,604,251,847,475,552,926,881,
581,767,234,060,323,196,163,718,417,502,481,721,040,439,140,483,556,852,241,
440,134,030,407,113,677,944,127,339,307,522,126,988,809,698,616,488,303,089,
987,163,887,335,958,248,013,409,636,143,676,457,322,924,916,852,818,949,626,
735,927,106,856,716,779,103,950,956,923,630,635,314,282,361,348,441,806,503,
952,929,197,165,975,740,196,780,009,487,759,083,479,853,792,199,161,450,588,
961,953,161,794,703,424,439,168,741,309,315,165,329,833,214,920,690,265,978,
423,241,393,155,921,231,481,504,825,048,610,664,216,794,227,959,471,248,061,
026,351,783,396,026,439,577,676,171,814,468,835,842,326,713,547,176,809,754,
902,801,071,080,937,035,799,774,132,669,858,083,541,919,651,729,691,950,331,
104,694,623,889,649,514,155,109,732,766,310,222,978,220,249,503,467,435,402,
489,618,361,283,765,558,980,601,827,017,282,781,247,580,700,044,436,318,596,
432,333,987,824,375,755,975,003,585,259,038,502,467,123,491,797,804,119,605,
464,410,201,823,320,081,687,178,185,450,833,039,332,160,265,980,697,530,292,
530,951,320,019,549,740,917,410,670,796,354,421,618,292,063,143,938,159,611,
090,649,479,907,189,067,086,224,452,595,236,101,653,788,613,237,743,101,522,
922,943,339,659,779,014,284,264,070,345,117,692,452,996,066,154,740,586,007,
137,245,144,714,227,674,997,073,629,535,927,343,877,787,433,502,449,849,261,
252,746,148,078,276,763,850,494,447,418,726,790,000,816,359,590,291,378,951,
088,371,153,637,357,311,885,847,092,560,751,080,494,585,135,167,484,555,441,
814,845,719,458,668,116,090,977,651,221,668,336,320,596,401,877,426,817,750,
532,632,847,992,059,024,620,819,835,500,960,678,022,511,689,305,660,354,119,
934,354,554,435,935,088,542,897,956,965,325,677,785,448,513,923,136,223,295,
343,559,145,386,340,189,499,549,898,149,416,716,117,709,504,588,356,179,485,
308,795,425,573,918,834,750,280,401,352,484,716,235,262,068,773,042,399,004,
036,301,737,683,844,466,231,528,500,764,228,511,131,082,054,191,753,433,503,
133,516,939,591,230,489,134,933,820,612,552,833,984,352,820,160,062,222,917,
196,999,000,719,040,566,296,647,610,649,861,757,086,506,912,675,824,406,510,
353,971,393,873,066,885,924,548,686,408,907,224,736,831,196,833,336,399,742,
371,705,842,677,837,211,667,607,547,860,117,755,104,537,892,029,773,221,802,
033,483,610,277,596,049,908,552,373,202,007,396,497,960,770,865,797,992,797,
816,409,931,018,499,583,289,488,018,260,179,367,418,788,126,510,633,961,133,
784,203,858,599,803,584,814,805,640,591,010,165,468,574,314,425,998,282,519,
234,423,633,455,050,218,523,751,284,550,201,210,693,962,492,615,520,742,232,
233,168,576,239,660,187,114,237,728,926,995,335,491,636,254,723,221,229,228,
333,538,152,804,454,800,061,313,859,643,207,938,593,166,764,218,903,452,835,
831,096,057,770,172,547,642,985,637,649,862,856,145,080,390,451,398,768,123,
827,780,554,066,318,366,474,766,437,065,827,114,554,582,210,189,945,618,690,
321,085,344,978,001,353,726,993,958,561,451,346,826,286,276,853,163,454,561,
393,201,611,627,416,931,987,921,892,529,528,037,483,674,182,958,666,341,631,
589,953,941,773,830,759,038,779,687,547,863,247,430,072,089,178,804,869,598,
181,429,714,325,809,670,085,891,761,701,212,245,021,112,235,370,493,713,835,
554,460,538,096,374,465,659,087,914,377,093,233,329,045,898,337,396,891,312,
638,677,277,237,583,615,900,788,960,173,386,179,362,389,007,878,512,153,690,
254,649,938,019,009,788,659,893,470,460,259,604,413,361,900,256,104,305,408,
138,059,775,315,358,274,085,201,782,964,306,920,318,069,121,116,450,074,473,
068,597,729,525,815,071,778,849,271,178,338,251,520,240,022,089,914,584,777,
211,156,808,455,523,666,268,825,413,385,437,345,178,558,641,752,608,074,650,
826,175,940,951,114,508,731,334,322,643,817,059,467,862,518,432,648,502,937,
460,937,381,749,251,144,402,774,274,657,911,952,349,324,736,845,485,034,607,
783,193,501,052,084,484,952,050,149,706,895,862,558,343,403,756,407,969,097,
800,337,573,133,333,723,190,435,608,848,003,952,191,082,470,266,275,991,473,
622,551,502,956,511,492,576,684,214,634,884,508,193,939,155,205,994,030,039,
516,882,555,133,375,763,162,919,713,462,160,555,199,576,310,603,940,842,025,
383,190,263,381,114,046,175,888,439,286,100,963,612,438,663,906,195,532,547,
753,883,201,693,922,613,351,817,711,354,744,834,863,221,229,568,128,107,377,
842,106,393,430,269,439,943,083,697,566,798,874,540,261,056,240,166,211,002,
458,018,589,534,865,950,821,943,922,790,446,984,841,068,523,993,299,584,804,
808,936,513,554,658,903,371,490,370,095,859,753,943,252,015,774,442,421,422,
109,468,681,028,155,114,290,420,666,078,589,770,293,131,921,646,261,927,221,
040,530,422,955,759,218,150,743,849,105,120,748,803,547,574,597,180,629,879,
538,157,502,981,357,028,021,241,368,843,053,604,732,364,441,488,170,426,235,
676,405,486,626,893,863,325,201,639,257,831,705,612,070,156,391,764,446,624,
505,129,784,767,614,725,714,330,078,796,736,444,377,874,638,404,144,508,993,
681,275,835,687,346,573,928,074,492,323,168,156,169,113,025,811,646,540,371,
683,186,110,530,301,241,446,864,225,874,479,208,439,863,336,619,394,005,067,
221,076,819,610,930,433,558,142,199,978,998,877,233,829,398,288,809,404,904,
301,727,719,123,666,984,663,153,171,347,330,572,593,758,137,969,431,707,910,
930,735,771,318,523,527,568,539,949,920,563,820,609,737,492,682,737,228,790,
043,353,283,980,628,310,586,533,963,585,314,401,587,548,736,264,217,519,689,
237,825,930,106,482,883,254,823,418,121,886,674,810,728,719,500,427,820,231,
678,262,945,945,648,822,565,362,226,691,216,281,737,533,604,327,823,735,273,
602,046,567,720,327,955,759,581,556,397,133,627,335,323,319,703,181,068,554,
857,000,113,136,951,968,479,657,700,674,586,511,465,551,515,106,314,506,451,
637,959,189,404,149,419,513,509,818,658,215,454,295,234,196,012,921,728,185,
961,415,777,381,067,630,593,515,689,613,803,658,231,465,360,964,483,094,652,
447,381,169,382,513,423,983,382,524,491,852,667,109,982,913,884,413,879,918,
707,839,151,098,644,096,267,781,954,584,252,063,304,418,241,092,313,626,588,
114,185,687,702,736,617,523,619,962,230,394,118,714,029,085,222,840,113,376,
916,463,097,036,843,417,240,882,402,339,719,850,431,528,502,004,794,556,935,
951,443,088,029,335,361,487,313,933,937,894,301,537,764,415,307,881,562,993,
330,888,712,247,745,999,029,793,868,927,001,537,586,358,196,046,656,086,739,
054,195,594,939,154,313,413,715,624,656,483,777,250,590,031,923,264,334,175,
367,292,920,506,247,207,548,665,367,399,999,520,702,913,460,797,402,124,991,
329,205,676,960,420,008,202,745,185,383,783,478,544,978,408,255,660,023,258,
919,566,151,520,692,255,076,388,051,185,472,928,817,863,605,205,270,898,546,
140,128,031,024,292,723,662,163,434,952,650,207,513,844,199,461,066,411,205,
308,664,428,381,168,122,859,895,747,561,891,712,227,474,033,145,738,358,103,
011,499,609,982,041,606,662,256,581,153,837,003,565,554,244,647,383,041,383,
716,790,806,889,902,936,820,639,096,164,468,272,319,935,647,340,410,224,248,
898,337,449,481,245,110,514,748,868,092,161,990,319,582,376,292,367,505,308,
325,678,156,929,117,953,387,000,900,480,732,968,884,009,723,405,245,247,816,
948,961,739,920,099,608,000,831,244,749,385,209,644,758,368,669,393,847,579,
940,287,260,935,912,281,437,240,077,715,934,279,149,140,275,380,149,007,912,
285,929,361,759,739,890,669,684,533,975,235,151,099,031,208,607,626,289,153,
656,244,312,949,814,947,268,972,749,899,122,538,668,864,332,445,402,856,442,
584,574,253,317,899,381,459,957,527,127,234,305,573,857,732,989,311,167,965,
381,582,645,429,961,366,582,514,890,735,720,676,044,633,682,026,578,808,331,
841,588,983,771,346,085,941,185,640,661,605,944,882,852,710,969,933,547,600,
827,892,142,810,328,547,694,395,449,530,801,509,007,777,022,094,280,502,125,
406,934,961,176,398,614,868,575,244,244,142,444,308,569,020,032,284,264,974,
119,128,794,001,530,756,491,932,830,836,930,477,698,001,599,416,846,816,359,
476,252,078,055,049,720,830,587,649,316,725,532,216,857,021,923,962,526,993,
217,684,668,216,065,501,251,722,025,280,258,935,665,379,596,130,223,121,000,
334,865,156,364,064,070,083,325,551,970,392,904,885,680,815,140,236,383,513,
080,077,330,580,756,784,743,628,750,720,974,194,847,957,172,833,545,125,175,
688,670,713,016,166,891,981,211,791,827,988,288,689,767,644,423,192,200,942,
614,086,479,634,410,109,923,557,346,406,579,248,267,040,137,968,204,510,354,
576,741,310,941,822,949,006,138,577,678,280,543,372,340,944,448,512,332,359,
148,247,222,952,275,744,029,466,293,466,545,484,431,560,328,145,149,439,598,
956,297,527,523,632,130,461,059,306,030,141,705,319,633,847,044,862,508,965,
797,800,737,465,475,320,997,864,319,740,352,666,427,638,646,499,137,480,049,
243,748,627,484,015,550,351,762,393,574,041,802,212,621,948,055,939,476,769,
240,061,743,669,616,996,692,766,210,991,415,442,792,902,160,888,777,821,196,
018,713,103,388,684,880,579,310,487,757,522,379,106,509,744,515,902,436,546,
684,044,430,235,670,385,865,025,986,165,965,988,519,613,380,195,696,893,889,
631,083,379,341,610,586,051,333,731,881,975,855,995,151,789,420,134,660,325,
361,348,864,627,220,069,115,452,047,017,309,980,605,846,839,048,873,942,537,
512,058,321,639,444,075,698,989,489,516,495,786,643,330,008,044,384,661,976,
540,196,833,800,961,140,151,225,055,995,662,974,222,574,964,661,793,591,804,
818,791,790,086,965,431,177,832,029,955,703,493,529,429,966,450,765,547,667,
642,221,834,028,946,107,867,943,124,170,985,298,856,507,388,338,796,664,542,
722,906,948,659,219,292,794,528,916,517,285,490,480,183,642,901,464,312,832,
129,580,691,140,806,249,517,804,920,095,279,756,562,944,144,222,539,468,063,
525,032,713,519,294,021,630,390,464,118,098,729,953,077,850,602,963,727,985,
302,290,321,861,044,477,239,145,225,814,830,369,694,586,305,764,243,496,493,
642,685,776,479,635,978,627,465,263,701,871,658,578,807,774,052,578,572,516,
972,380,139,113,693,977,622,544,773,955,012,849,418,834,120,467,297,429,105,
825,135,174,020,008,930,671,498,896,381,468,591,889,470,597,530,666,363,236,
857,480,771,568,257,882,748,108,058,355,366,413,612,074,563,328,443,539,683,
780,938,698,777,648,997,238,093,756,477,931,421,548,723,727,388,572,808,370,
525,550,283,468,877,081,382,693,660,088,650,624,792,099,662,773,655,395,903,
189,291,140,482,443,049,564,274,600,552,295,635,405,798,659,594,117,424,484,
985,936,103,144,152,190,550,482,644,117,753,417,351,327,030,746,556,254,403,
202,439,834,298,611,076,880,713,861,743,373,752,017,610,364,648,965,259,630,
567,366,375,624,884,426,063,494,455,690,929,622,017,429,396,024,559,575,305,
898,768,562,070,220,803,783,818,463,087,677,188,098,571,086,676,375,644,547,
137,014,487,247,891,784,155,653,262,065,152,580,723,382,371,106,783,427,407,
367,178,149,725,016,861,617,845,931,477,159,555,061,727,585,938,392,302,556,
428,425,573,467,641,905,144,901,962,559,314,577,517,642,343,583,312,686,783,
305,264,446,424,403,134,242,794,768,154,434,729,644,146,011,340,890,126,407,
602,853,823,263,837,864,254,561,825,204,083,288,597,592,953,122,305,864,059,
579,712,151,027,133,532,789,916,972,927,701,336,589,411,915,300,450,063,614,
591,083,583,606,088,371,156,086,061,062,045,845,889,040,351,524,397,946,556,
903,873,310,652,017,366,975,036,028,980,543,622,249,982,289,022,547,928,765,
025,547,932,796,492,655,724,109,520,309,950,064,686,672,705,991,956,095,569,
930,356,942,170,086,519,906,014,153,949,186,842,918,533,902,994,440,302,505,
486,770,631,171,834,248,420,201,926,917,446,992,329,056,262,565,206,164,556,
641,328,813,010,778,112,765,290,674,928,762,259,181,261,543,550,927,942,888,
277,892,248,874,028,604,491,303,005,825,272,796,363,049,927,429,787,496,052,
569,898,714,507,578,927,365,186,703,125,690,267,985,710,180,217,387,221,677,
829,953,151,895,679,032,118,248,110,043,606,003,935,067,377,909,823,202,243,
213,177,960,561,522,636,500,734,482,490,360,272,238,070,621,240,377,738,478,
365,761,538,110,295,936,763,414,223,208,879,670,302,364,443,265,089,585,348,
025,493,868,389,514,898,954,352,317,487,504,254,954,661,256,495,286,365,971,
725,833,740,005,222,451,249,741,753,589,481,279,743,396,644,361,695,447,365,
402,302,938,803,414,395,961,746,144,401,288,406,527,315,279,297,660,306,181,
995,558,748,056,354,341,866,122,471,945,161,110,504,779,314,434,042,198,714,
649,182,527,551,005,844,860,140,681,189,169,917,944,973,675,189,440,646,189,
326,908,464,550,341,514,108,615,307,229,736,275,903,304,640,227,005,289,038,
581,652,983,051,392,264,849,519,814,495,188,444,424,361,217,384,382,853,860,
815,331,005,243,826,429,119,743,157,691,977,555,337,301,666,852,413,049,485,
298,478,190,305,359,273,619,626,114,234,798,046,841,858,619,187,478,756,640,
758,262,029,276,807,240,220,911,149,803,789,436,691,268,754,787,631,945,639,
912,984,976,941,273,388,220,098,830,652,771,522,037,076,121,315,822,252,828,
695,599,065,897,677,532,219,564,556,621,767,475,296,869,519,812,118,291,379,
382,430,098,955,656,435,758,650,805,144,754,248,405,746,217,991,956,728,161,
403,994,035,633,152,332,485,405,882,584,036,133,207,358,796,084,728,486,371,
852,342,525,823,094,800,512,561,206,883,662,438,591,187,647,682,120,063,471,
346,621,822,947,649,308,252,455,531,389,945,884,874,687,697,981,344,138,764,
325,917,395,822,836,138,891,930,726,844,594,814,236,443,837,262,797,698,691,
682,700,782,198,743,474,997,102,881,575,223,587,459,179,089,549,372,842,017,
844,091,444,099,444,852,832,553,052,608,049,894,144,216,829,457,603,081,844,
131,192,712,020,899,378,976,266,202,770,108,361,205,636,736,226,803,029,773,
524,770,532,212,904,647,476,864,396,618,848,191,906,357,172,774,673,919,179,
131,906,330,124,384,704,635,485,355,788,244,160,960,433,405,281,020,811,352,
718,205,256,220,789,532,564,028,160,069,100,101,799,963,843,338,395,922,887,
745,592,752,459,350,427,823,542,941,337,063,824,338,018,049,318,290,900,731,
253,919,698,929,885,786,858,715,183,016,610,240,213,208,994,759,882,138,942,
067,292,363,680,635,309,708,845,471,911,998,998,824,011,911,579,812,124,032,
620,357,040,227,300,985,794,722,164,709,806,395,199,940,935,185,884,482,438,
078,228,883,615,431,611,363,769,420,445,424,112,854,832,061,958,510,732,150,
493,843,567,374,809,524,911,779,238,649,436,218,266,101,925,461,307,718,695,
417,206,144,663,991,663,378,478,641,235,764,292,152,910,560,950,498,410,198,
140,562,444,992,531,783,564,102,251,681,573,515,142,482,117,905,679,163,850,
303,641,414,635,647,101,524,672,779,096,763,413,695,362,274,659,068,154,761,
015,011,464,000,016,307,157,382,227,865,275,386,741,794,401,012,625,318,067,
514,148,925,911,792,478,244,583,430,217,171,929,470,821,902,084,760,182,848,
589,154,304,456,063,050,348,625,906,786,443,357,217,734,885,697,995,100,809,
462,709,938,989,637,134,638,932,011,696,289,610,283,172,259,772,375,473,211,
132,185,416,775,833,902,448,003,269,942,424,134,258,779,616,438,181,085,196,
599,468,537,907,651,258,885,228,129,481,538,003,065,236,170,648,269,384,464,
106,818,303,220,253,849,851,913,975,545,502,654,723,836,266,742,730,234,586,
781,369,945,807,091,155,299,520,954,421,875,372,424,550,549,825,219,461,739,
924,095,138,285,050,160,391,062,600,132,279,665,293,787,336,973,284,977,892,
420,042,461,118,901,431,328,531,185,288,108,696,467,053,468,277,131,740,291,
647,474,100,035,119,800,697,625,162,173,520,602,977,585,652,293,323,332,834,
039,244,193,504,968,126,860,809,959,987,491,259,273,393,707,978,436,386,334,
963,105,906,520,789,346,320,478,464,846,075,546,522,845,059,655,595,698,268,
712,974,866,740,198,174,911,162,575,140,048,558,461,201,114,974,833,739,016,
894,523,168,130,649,098,048,866,504,472,336,635,643,128,962,556,970,984,162,
666,826,575,443,607,609,696,751,893,004,927,416,017,301,246,537,879,142,475,
523,273,229,333,176,717,016,527,377,638,043,115,666,043,823,723,863,200,825,
954,947,522,851,424,920,074,178,001,127,867,446,206,199,252,927,472,775,354,
222,566,042,475,339,411,477,681,254,973,229,062,853,592,383,886,741,466,258,
626,978,846,720,307,010,333,531,347,797,095,152,415,442,883,141,331,025,336,
565,546,221,820,978,251,117,778,973,685,431,921,014,790,118,334,605,995,703,
449,899,358,718,293,300,945,244,394,520,660,440,140,854,774,856,794,356,147,
372,036,342,845,067,212,944,306,929,784,235,183,129,394,713,258,814,906,653,
297,931,733,989,847,215,199,412,240,169,879,094,000,973,123,309,980,294,572,
273,148,818,359,365,245,046,312,444,312,009,160,822,083,755,374,439,800,368,
269,150,897,741,287,765,387,810,760,226,859,024,818,343,556,008,080,994,598,
582,052,593,229,737,947,136,829,415,962,392,462,718,639,525,269,246,462,921,
381,947,248,288,818,732,458,312,337,318,514,160,549,290,449,383,687,519,915,
707,218,878,926,935,842,174,697,926,041,607,273,111,266,815,076,644,369,008,
409,861,878,999,203,765,283,965,853,632,152,060,300,853,729,126,083,050,507,
578,773,175,364,069,087,616,997,744,211,837,321,444,925,136,090,890,714,250,
057,089,431,906,788,283,006,006,385,172,248,792,024,668,267,015,456,783,464,
853,041,408,424,595,293,161,156,142,985,629,942,589,173,597,419,326,736,653,
694,696,790,862,606,346,121,934,112,318,247,147,141,202,856,095,034,263,449,
231,923,831,931,444,692,578,296,211,886,605,436,671,161,841,866,169,623,285,
011,372,834,146,153,440,808,533,422,032,552,265,533,745,907,536,518,383,906,
677,983,868,992,105,163,142,529,738,778,697,816,392,419,581,634,677,595,530,
283,276,065,087,581,959,255,305,913,363,723,499,909,968,932,288,890,513,240,
152,903,836,132,143,829,978,327,844,395,342,254,239,806,067,876,810,809,993,
623,769,751,347,559,509,747,663,881,891,093,660,389,768,445,950,399,811,276,
546,960,755,768,620,833,799,881,043,448,010,218,676,413,579,104,586,021,770,
623,165,315,880,014,202,177,406,642,162,462,119,094,050,405,825,398,850,494,
341,679,092,888,624,909,851,056,454,048,512,399,233,838,513,995,912,358,160,
921,963,448,459,056,090,529,513,576,388,676,182,274,225,258,894,854,864,558,
760,624,522,343,315,837,789,600,236,193,089,145,942,520,505,086,131,254,565,
998,552,637,038,322,127,182,814,150,881,956,734,007,582,512,764,288,636,956,
723,509,781,171,832,717,349,143,574,937,969,416,772,595,281,659,091,836,713,
575,682,449,850,378,650,579,809,193,070,603,965,152,572,544,474,215,252,408,
348,060,130,657,807,490,381,594,374,320,517,425,360,981,419,010,156,164,773,
661,837,957,328,261,321,690,292,620,163,376,169,604,032,032,244,753,250,444,
570,997,429,165,260,588,561,913,958,495,676,402,558,653,399,708,260,954,560,
611,259,495,881,722,045,618,454,994,817,179,321,979,598,862,936,759,835,053,
509,162,833,887,176,993,160,815,431,585,653,927,306,335,684,062,268,692,249,
741,059,739,419,403,787,020,152,660,764,181,341,818,288,388,210,055,388,372,
256,027,997,634,192,935,718,398,787,591,181,061,098,263,727,033,435,519,626,
364,516,092,232,345,734,358,606,984,908,686,960,556,598,923,047,773,360,910,
445,791,006,144,907,884,776,209,705,038,924,184,451,967,632,035,510,988,859,
334,555,778,455,377,246,523,974,181,034,451,086,460,521,454,895,268,696,894,
345,017,748,698,337,209,265,772,095,371,898,896,684,902,166,251,265,833,677,
636,008,982,423,588,692,250,053,263,458,682,394,143,715,568,704,058,510,704,
374,764,843,349,977,272,793,618,517,055,900,587,621,121,056,174,447,639,920,
474,071,169,487,820,124,630,632,294,428,693,558,626,089,235,627,671,512,296,
905,163,731,637,678,109,907,132,212,034,334,292,898,764,232,430,327,825,119,
605,085,535,429,691,829,376,439,940,006,266,644,121,155,890,531,231,743,776,
973,268,991,660,536,342,772,104,703,938,720,604,669,163,737,477,754,209,353,
447,841,103,933,657,121,893,350,252,941,362,619,618,929,718,053,468,711,228,
170,885,404,493,540,472,837,942,610,336,163,077,272,643,624,524,673,534,637,
036,181,864,482,574,624,792,240,947,037,810,728,895,051,833,672,803,926,725,
109,317,565,419,229,186,678,437,151,996,265,929,269,622,797,023,746,778,034,
125,506,858,356,802,698,063,836,946,392,177,221,469,239,357,227,062,163,646,
531,572,524,227,167,689,457,135,102,549,975,524,212,088,668,968,843,192,754,
537,428,792,774,210,323,375,040,690,447,484,618,835,449,553,858,954,183,031,
301,810,872,067,672,675,246,575,840,944,630,340,396,887,241,274,501,443,031,
031,138,784,133,304,908,695,379,259,776,528,114,116,422,187,165,494,955,498,
658,033,880,146,830,261,421,014,401,672,501,518,248,003,762,350,837,715,586,
039,917,648,354,912,334,389,525,125,666,903,974,484,418,985,236,330,664,329,
892,580,872,460,385,373,603,753,478,001,070,706,340,587,838,153,942,545,302,
865,760,617,125,872,258,232,496,547,784,572,443,080,625,451,892,343,872,555,
409,177,214,312,116,938,124,178,462,722,860,636,553,776,028,477,343,298,878,
111,656,392,234,209,122,355,804,449,516,407,621,353,671,119,727,757,461,545,
683,886,139,904,823,325,475,973,931,865,493,198,375,899,111,796,324,376,505,
889,253,575,722,177,670,214,198,879,991,949,283,809,400,963,788,456,823,424,
626,416,017,096,649,225,559,537,486,230,133,761,543,124,634,589,074,130,661,
983,443,990,547,596,165,003,405,720,270,675,457,298,617,135,083,923,444,869,
949,453,848,398,374,263,286,102,303,233,089,780,895,494,721,682,735,085,206,
920,700,815,679,474,247,797,252,052,775,349,925,233,938,168,029,736,873,910,
231,796,390,454,387,789,528,073,397,072,584,564,057,862,956,420,918,137,798,
713,765,495,902,946,680,237,707,051,790,491,790,029,949,163,228,318,204,932,
057,783,109,224,406,016,262,050,409,930,432,741,786,380,916,229,973,923,889,
417,335,776,235,575,014,889,927,365,626,959,430,042,403,346,882,571,154,414,
748,072,603,125,903,496,683,849,728,836,534,540,439,036,922,814,040,420,983,
637,426,790,538,343,669,697,400,340,802,303,917,313,690,470,317,432,120,508,
699,501,964,840,851,447,769,085,049,491,128,055,523,659,800,196,322,454,656,
794,315,817,369,958,575,269,524,287,001,522,717,493,778,604,707,346,035,356,
832,357,278,784,311,393,025,819,257,123,015,780,129,981,617,935,942,516,169,
139,281,364,890,244,037,775,077,469,146,253,065,904,956,443,691,052,357,288,
835,120,670,643,056,525,024,117,997,313,566,584,834,426,264,783,664,408,921,
733,609,862,284,561,467,850,560,695,328,214,266,040,187,515,700,429,485,572,
187,309,818,202,568,439,722,442,361,415,694,750,792,339,813,515,152,488,845,
549,612,827,383,352,926,530,404,370,883,580,506,590,328,445,172,430,791,154,
304,687,910,651,033,724,594,553,131,289,873,432,788,596,814,370,432,706,082,
752,157,649,592,689,620,003,458,315,899,509,064,531,845,646,684,280,878,846,
966,712,087,994,287,752,332,881,484,725,958,530,181,585,454,670,876,963,166,
673,909,699,833,725,518,865,650,921,228,292,829,921,615,876,144,319,952,374,
240,740,411,446,197,956,908,415,706,790,263,630,784,596,803,605,597,865,089,
349,445,764,651,130,306,837,776,844,588,014,398,868,535,916,891,674,116,617,
008,365,712,606,790,196,049,318,065,164,984,533,491,234,030,634,720,898,240,
578,607,768,744,481,272,609,479,467,211,721,357,926,005,462,290,984,135,549,
244,532,636,515,473,919,321,455,222,587,128,028,974,578,427,385,094,828,082,
783,070,159,159,306,469,076,427,421,575,660,190,332,416,959,650,821,268,883,
835,455,900,493,389,262,413,100,409,408,163,272,341,603,407,559,635,828,862,
668,092,998,305,096,265,532,253,173,023,757,824,578,039,967,285,387,881,799,
105,429,056,381,987,194,072,435,741,695,698,736,508,189,822,215,317,451,009,
838,558,852,993,825,631,725,872,227,700,052,293,578,393,109,505,696,275,577,
945,933,129,610,285,186,899,534,588,334,102,815,149,699,772,547,668,985,683,
724,402,192,211,687,034,279,139,912,714,171,454,197,950,162,733,303,503,151,
317,353,356,213,439,346,185,010,627,605,094,260,848,985,869,508,479,880,721,
879,956,380,473,583,305,577,085,370,739,058,566,192,782,659,944,677,329,075,
336,602,296,451,868,048,363,966,058,328,956,770,667,237,786,402,907,282,130,
542,831,725,488,716,951,722,963,755,651,440,904,776,361,381,483,709,487,194,
668,846,129,865,776,405,909,708,566,055,089,043,388,527,279,043,042,439,602,
181,355,109,697,033,516,703,405,555,651,604,791,999,931,620,842,927,856,236,
117,112,470,058,351,259,089,544,884,434,561,283,272,183,300,203,501,235,203,
681,777,780,013,644,776,919,671,564,121,715,651,316,021,978,588,285,618,204,
263,020,648,085,524,601,948,446,404,178,541,733,852,962,114,620,405,023,848,
825,650,169,751,569,416,237,694,423,396,536,812,479,384,897,842,390,158,389,
423,252,317,271,713,942,718,025,242,205,712,515,894,849,923,438,050,761,177,
963,641,178,452,558,537,710,622,932,443,553,669,784,905,930,938,441,855,043,
629,414,149,323,626,063,013,914,123,266,894,785,693,430,684,827,457,932,308,
568,820,118,602,437,723,847,851,998,249,246,598,849,364,318,582,215,766,185,
156,376,425,550,243,840,294,983,770,581,116,128,276,853,279,037,434,383,855,
560,475,280,263,435,629,436,183,862,540,850,531,808,620,787,863,360,027,758,
774,286,397,271,555,974,063,937,627,845,503,964,581,036,692,575,894,403,592,
767,401,283,900,469,560,519,790,648,975,593,281,371,207,197,981,297,745,631,
804,167,475,935,858,070,850,405,453,962,658,569,375,707,436,722,582,199,672,
801,081,365,393,631,616,137,453,229,822,434,288,938,686,987,908,243,152,913,
406,483,951,784,855,811,430,693,647,786,806,170,407,999,172,388,288,112,323,
771,545,244,151,461,279,077,694,053,818,052,961,180,184,660,694,216,887,726,
286,889,032,756,247,412,641,189,833,129,977,860,216,428,416,382,900,273,692,
696,821,001,245,499,047,256,686,677,674,527,738,120,789,062,198,784,354,120,
454,324,605,757,199,250,295,366,281,365,977,968,491,018,344,089,342,913,180,
984,676,269,054,514,844,465,785,943,529,306,499,464,892,381,780,602,505,869,
608,078,857,985,155,121,812,517,974,853,080,267,834,179,977,773,630,935,662,
255,728,109,955,848,152,624,168,335,127,848,545,953,600,545,631,442,933,233,
514,741,210,499,104,539,912,311,773,213,488,071,766,387,859,167,840,193,253,
226,596,947,795,965,043,596,797,118,594,903,417,848,404,339,030,822,182,914,
353,681,248,717,574,692,990,415,930,673,043,108,974,242,330,549,890,180,337,
799,023,596,514,746,020,713,527,676,808,047,048,390,030,177,687,825,596,499,
365,146,185,096,224,477,178,256,073,001,991,114,370,733,016,122,640,813,296,
571,052,004,892,634,426,749,033,389,524,485,479,656,099,232,554,462,617,686,
274,519,097,274,844,398,501,975,372,694,399,064,812,788,065,113,220,087,377,
284,496,880,258,042,797,858,866,340,674,006,123,180,659,056,282,395,174,174,
409,044,084,591,356,492,629,437,374,358,734,992,089,728,400,013,369,725,311,
626,294,771,370,006,839,240,844,506,991,263,592,078,093,465,680,892,743,733,
469,222,727,944,098,996,749,932,982,152,044,346,089,019,816,905,356,481,984,
831,603,942,438,907,257,515,420,247,286,803,798,074,289,291,276,332,331,598,
203,624,753,307,056,969,872,814,867,481,313,873,594,267,621,315,875,979,267,
687,839,442,524,525,823,408,287,194,805,156,677,929,294,811,332,913,670,182,
754,156,563,225,009,726,216,044,225,094,939,599,921,675,951,046,322,122,543,
494,591,179,042,519,419,591,411,275,158,776,368,862,760,760,667,091,165,024,
552,545,676,364,425,836,963,324,122,936,293,341,378,332,143,540,708,793,248,
505,006,853,177,234,581,627,046,260,794,945,782,987,169,038,584,742,952,819,
861,972,727,840,333,144,595,731,829,467,496,848,164,593,952,530,397,064,111,
449,699,642,499,302,161,444,403,699,896,166,545,571,663,944,187,111,668,748,
727,740,375,940,077,092,803,006,285,974,672,129,604,639,511,233,446,934,369,
666,870,194,428,536,409,829,308,850,168,438,300,112,188,642,295,980,574,715,
607,390,927,253,827,781,487,631,126,415,723,548,495,972,039,405,928,762,206,
600,120,972,841,404,917,587,094,512,842,907,514,943,338,319,067,388,062,769,
991,538,063,215,755,826,743,782,042,441,438,556,907,048,315,824,436,970,988,
465,502,530,068,350,867,936,939,317,593,456,432,648,680,896,429,126,861,895,
444,318,180,205,862,624,772,690,410,762,939,110,325,280,940,086,075,735,019,
187,651,187,183,801,186,144,886,179,468,208,364,407,022,998,362,157,360,265,
282,023,897,017,571,763,705,984,622,172,228,671,455,222,356,264,412,774,882,
989,386,430,258,656,278,068,467,192,029,667,747,308,766,340,925,506,545,312,
820,865,939,192,543,143,568,175,673,300,172,616,786,617,113,063,434,518,353,
373,098,995,611,801,151,016,120,933,551,810,716,989,951,254,287,050,715,915,
575,030,395,027,356,686,809,694,502,318,123,045,256,248,701,906,817,396,130,
322,521,918,991,177,109,556,459,889,037,585,837,368,634,250,036,198,408,742,
016,744,398,349,731,210,096,783,764,258,823,700,187,041,257,152,796,647,771,
406,004,699,213,998,101,340,969,139,645,170,959,754,335,834,079,339,127,620,
134,697,950,398,424,791,321,723,819,296,508,367,744,681,095,855,633,812,453,
159,510,375,295,324,047,493,674,666,059,256,127,740,688,837,879,448,102,216,
277,232,542,826,405,560,501,290,796,256,528,682,723,298,974,958,541,966,463,
729,558,346,144,824,927,508,239,839,935,815,963,886,503,607,610,496,575,579,
310,889,926,897,314,327,718,167,504,998,893,352,651,888,888,852,218,028,036,
281,801,357,311,704,108,739,443,863,503,999,598,205,981,437,123,976,817,708,
977,256,101,096,225,006,118,188,030,541,989,383,503,932,796,441,445,827,639,
608,050,902,003,017,776,549,549,800,587,519,099,103,672,979,104,231,514,955,
984,083,398,510,821,155,479,940,879,407,735,493,436,042,194,342,051,865,607,
263,278,808,322,344,674,303,365,893,307,488,688,782,813,122,073,775,306,115,
536,606,989,548,621,462,567,842,003,841,228,554,361,935,060,250,994,161,343,
502,491,214,836,680,886,612,644,425,167,851,852,795,764,964,885,618,470,683,
367,447,345,249,289,318,441,256,233,865,830,539,167,067,099,991,718,127,354,
212,924,580,797,630,928,254,340,135,651,847,850,620,376,985,542,361,074,202,
145,106,826,703,347,024,144,347,999,979,982,922,305,232,942,027,896,098,953,
500,122,696,315,645,691,722,638,228,025,853,372,678,966,234,375,891,270,450,
672,002,288,493,939,388,143,388,467,413,116,396,418,098,524,323,461,729,566,
409,048,432,784,244,351,156,094,225,815,701,484,877,886,784,490,342,294,868,
341,963,102,509,277,359,930,547,507,623,840,477,415,147,041,722,587,214,006,
167,782,255,066,286,440,302,086,411,852,952,197,556,155,387,700,666,726,628,
007,497,506,052,299,428,574,466,346,982,360,258,384,842,755,425,984,675,629,
533,573,077,093,635,654,327,097,883,518,717,179,275,334,039,294,692,827,066,
996,522,695,938,826,450,951,743,882,715,074,054,443,847,567,539,128,146,989,
513,646,229,752,790,897,833,276,286,567,792,725,371,534,124,556,272,466,928,
522,407,050,061,250,171,979,497,779,944,373,937,221,355,844,277,859,625,216,
952,963,045,052,843,352,024,668,432,012,411,956,661,476,042,517,888,133,711,
874,681,558,464,348,022,517,012,554,670,764,222,988,153,252,362,699,592,896,
028,300,112,057,228,844,621,759,909,691,122,935,620,540,493,467,136,186,637,
034,083,513,623,284,680,141,455,713,051,166,896,801,313,048,338,545,163,889,
243,686,302,375,220,464,997,025,294,794,102,336,359,899,229,166,888,886,537,
764,938,890,707,724,042,088,147,139,745,491,798,722,553,206,213,423,791,970,
208,468,061,457,182,961,766,468,041,090,513,290,535,241,806,808,954,839,094,
610,332,525,198,999,680,676,492,776,394,482,348,026,602,240,799,265,858,105,
015,924,176,761,551,762,912,051,758,837,549,220,282,760,877,277,125,862,371,
300,152,868,710,302,054,936,925,777,767,888,741,867,514,095,240,474,297,281,
771,061,160,025,825,127,802,327,259,542,013,433,089,301,731,286,959,884,646,
116,473,547,449,088,865,603,481,666,592,225,393,455,814,021,791,295,326,915,
748,897,230,464,716,449,585,554,099,089,432,488,767,519,841,476,639,940,703,
763,950,101,534,294,459,143,531,930,524,772,777,193,647,052,049,856,630,449,
062,597,804,331,291,920,463,739,926,619,961,793,917,111,208,960,582,000,696,
523,470,501,363,283,475,026,953,308,900,583,079,008,082,056,526,199,107,423,
003,350,760,548,314,512,644,862,536,412,876,150,819,319,760,367,442,924,896,
724,673,471,670,266,943,781,496,625,703,043,798,447,025,243,268,122,482,273,
032,846,175,035,395,015,600,605,370,886,181,282,355,718,191,685,589,309,357,
256,849,002,938,215,907,114,906,733,654,919,965,114,274,951,908,648,190,108,
570,792,725,080,957,590,308,266,119,078,431,721,338,858,905,728,576,274,065,
475,915,620,003,295,844,452,237,754,628,039,297,586,090,399,715,578,193,849,
111,100,888,049,457,861,197,636,644,135,720,721,850,341,051,176,696,404,212,
470,228,686,013,548,349,832,087,471,782,081,312,509,906,609,600,874,047,597,
337,068,796,490,428,194,066,974,534,844,219,185,354,489,898,854,282,432,769,
962,296,682,804,860,911,216,078,359,339,680,333,387,424,046,304,204,248,881,
959,590,977,896,216,837,336,439,384,376,739,129,540,231,979,061,708,750,301,
267,336,078,248,700,979,062,299,206,235,597,585,873,448,837,314,678,880,824,
147,131,174,938,482,875,629,154,665,675,466,672,667,602,310,607,496,416,491,
635,671,070,352,416,999,359,402,616,145,497,231,596,634,171,390,691,271,953,
104,169,174,245,771,047,183,694,097,424,932,534,180,226,084,347,479,604,618,
057,701,019,311,901,021,180,437,765,641,226,724,983,170,456,037,911,441,589,
822,744,465,249,026,789,888,854,554,178,415,040,857,388,489,382,613,650,242,
547,047,347,338,770,731,720,323,023,061,122,683,154,612,764,644,870,952,541,
486,034,304,201,099,147,314,189,940,243,141,932,950,336,686,415,470,274,523,
725,424,411,086,966,727,021,675,669,241,823,779,108,890,082,212,348,524,943,
063,786,312,474,927,197,191,701,143,287,263,309,008,098,183,203,066,629,692,
354,093,929,696,361,065,791,131,369,204,084,869,188,172,706,665,974,686,574,
607,084,372,695,372,862,754,942,141,830,775,171,129,577,502,956,671,471,002,
149,990,983,072,499,952,188,808,435,922,183,717,727,879,500,179,597,598,387,
336,086,719,552,654,532,311,883,563,092,428,202,680,330,726,816,115,081,880,
264,542,090,147,097,448,031,706,660,149,807,779,098,703,791,875,721,184,692,
166,765,486,162,198,428,930,876,132,801,100,027,641,935,174,684,514,895,544,
720,839,755,659,217,330,572,653,038,133,405,107,127,531,934,408,437,615,426,
567,738,953,269,211,095,182,654,718,950,013,414,244,398,789,467,637,697,142,
905,314,618,199,369,460,596,851,325,649,569,194,866,055,917,546,774,862,781,
455,162,797,610,738,344,284,673,603,694,888,408,010,378,569,143,734,574,287,
135,272,138,916,020,443,414,287,790,711,411,188,313,110,266,692,173,607,192,
223,859,380,102,356,371,361,952,752,899,522,299,086,545,417,382,410,223,073,
756,989,682,336,400,563,892,057,401,103,916,661,756,528,631,800,214,631,011,
905,614,132,512,387,308,882,947,560,846,393,226,667,101,522,635,755,383,389,
400,381,941,113,008,874,961,038,037,409,240,253,562,838,121,732,760,507,302,
024,697,437,538,423,230,924,538,047,067,903,264,890,710,837,846,768,369,446,
530,548,441,432,448,272,086,956,737,989,807,338,177,317,436,813,174,182,483,
129,888,781,499,308,710,553,893,498,154,942,842,720,927,546,555,600,380,895,
702,275,691,761,578,958,995,982,480,532,962,097,821,890,264,574,103,989,586,
968,892,209,004,638,496,037,633,585,045,072,172,915,945,337,137,750,150,204,
439,555,543,320,089,554,260,728,800,123,951,565,895,626,652,725,572,324,395,
369,086,702,483,637,281,560,388,337,958,646,809,302,529,538,695,523,822,034,
723,267,633,858,361,936,095,076,812,711,048,329,525,123,652,993,937,792,530,
546,592,449,356,457,589,734,789,609,615,565,967,480,138,490,698,408,856,316,
304,345,652,749,896,925,719,668,339,463,704,049,245,215,032,732,926,505,878,
228,666,163,291,624,821,323,808,328,532,511,294,037,781,734,383,906,513,252,
188,543,333,244,622,415,835,286,320,465,102,597,383,109,043,250,721,670,554,
010,245,173,216,684,718,923,780,279,679,889,697,522,041,223,919,470,714,569,
743,937,592,817,294,906,665,051,244,743,008,134,196,648,452,906,939,761,722,
778,083,022,647,476,160,622,556,959,277,083,396,321,811,051,732,133,683,160,
772,106,916,331,234,052,155,330,095,464,436,511,106,496,813,167,083,320,909,
253,621,284,173,151,133,846,218,025,936,783,306,884,671,932,587,657,918,085,
349,655,093,555,960,167,950,844,274,372,063,066,980,584,165,952,600,490,123,
432,569,457,888,925,504,270,825,063,483,785,930,740,784,908,295,529,311,029,
918,801,615,143,168,486,732,073,182,282,321,171,116,490,634,327,456,140,752,
348,773,750,931,890,483,809,316,711,123,865,961,980,701,632,604,570,801,086,
505,042,142,742,458,367,539,460,240,508,203,796,154,096,796,074,808,168,779,
893,186,162,304,741,441,552,678,281,880,163,381,491,736,688,514,045,119,724,
565,950,761,453,827,429,538,282,604,415,195,783,658,099,890,064,111,608,749,
131,728,509,826,010,942,310,374,931,961,343,074,807,399,410,383,475,169,242,
942,378,279,352,911,354,898,457,286,785,089,780,698,027,155,731,495,039,853,
241,815,215,229,117,868,757,483,040,107,766,784,469,096,435,537,763,447,583,
125,901,297,546,656,436,145,550,811,837,610,057,714,687,839,015,641,303,586,
228,260,590,475,409,135,343,667,263,705,619,091,881,675,540,101,647,885,188,
076,816,054,026,454,073,355,632,236,219,318,635,817,806,408,450,968,883,771,
483,666,870,091,071,501,522,922,124,321,217,903,729,625,487,266,066,644,944,
901,457,162,964,015,432,998,676,085,993,221,058,140,258,122,508,451,533,432,
170,134,901,863,873,629,237,463,380,498,859,609,175,906,336,689,067,567,452,
021,038,540,557,712,369,654,421,732,448,846,057,556,179,097,882,253,703,454,
495,451,545,557,985,522,097,685,749,163,701,988,335,665,150,604,443,906,434,
053,337,146,001,851,998,958,699,831,254,392,123,793,285,170,870,583,026,768,
996,659,321,851,013,656,571,269,380,085,782,998,112,164,250,370,444,675,251,
559,714,751,919,872,921,188,419,634,435,531,249,925,351,511,100,743,836,804,
173,085,803,410,483,781,011,094,156,198,647,044,312,218,898,151,444,380,267,
678,590,069,799,849,968,316,815,745,405,167,398,393,873,424,233,384,196,416,
144,396,769,875,153,955,536,762,639,035,489,176,291,836,140,400,611,451,459,
643,047,851,183,842,227,727,458,670,627,517,315,034,411,666,469,679,333,253,
788,632,085,366,290,856,092,507,120,920,395,752,483,227,177,764,464,811,048,
024,095,525,493,894,842,501,408,860,065,321,393,416,704,797,913,369,972,143,
605,573,717,934,225,336,900,513,950,011,621,465,834,304,582,669,410,062,961,
405,034,141,241,059,089,271,926,192,464,533,157,535,060,917,584,992,763,783,
529,004,797,612,457,829,017,159,176,440,588,390,862,427,876,360,819,760,362,
201,324,381,114,843,249,162,650,768,020,054,328,313,527,025,590,880,675,264,
210,718,379,664,850,188,622,360,133,275,757,968,341,403,195,206,395,824,732,
924,489,614,620,783,176,059,706,307,854,372,217,578,005,912,623,628,133,366,
106,487,248,316,407,578,620,624,741,217,878,062,238,161,685,672,563,740,757,
846,056,263,674,277,942,167,868,583,411,393,251,702,896,888,246,922,454,952,
453,629,790,600,435,469,379,124,580,724,720,773,631,379,091,351,429,831,293,
739,127,959,345,970,997,777,742,415,142,095,916,701,823,273,568,180,012,605,
113,032,622,313,497,283,110,359,819,048,566,251,900,987,084,142,279,441,577,
452,273,886,774,443,065,010,249,426,223,064,691,165,359,734,667,613,284,541,
254,687,208,085,554,744,233,601,586,131,691,583,107,655,345,104,363,918,334,
936,831,210,724,276,708,981,294,071,148,806,024,736,435,003,371,602,224,430,
500,585,685,283,904,603,127,994,583,750,217,286,704,029,247,159,853,053,277,
998,245,411,958,181,778,066,581,037,643,924,361,392,332,818,575,160,986,883,
486,280,205,092,736,140,693,776,657,743,412,041,484,918,158,132,223,869,397,
395,238,712,421,733,511,693,517,255,059,327,459,877,663,287,647,095,951,298,
951,479,635,327,615,040,375,122,932,673,417,477,484,096,852,114,584,220,466,
610,422,858,560,101,770,060,076,612,321,814,499,952,755,053,578,489,913,047,
117,389,297,335,898,926,771,014,841,442,801,373,619,323,728,870,279,645,914,
524,926,819,008,666,749,293,227,762,372,947,678,075,654,028,833,906,123,769,
919,322,439,474,557,490,664,212,133,670,069,491,814,533,713,600,144,578,733,
513,551,213,595,355,874,258,415,476,916,236,663,602,737,981,351,438,188,294,
272,453,440,294,646,068,546,361,675,899,902,337,742,977,287,070,176,623,134,
988,569,605,728,500,434,701,565,394,574,123,526,541,595,623,568,195,604,225,
368,295,952,833,713,195,031,724,265,849,875,386,214,851,538,501,031,512,834,
392,929,812,276,529,265,159,954,579,264,737,908,435,076,327,647,545,557,216,
528,432,969,775,989,749,791,210,657,912,215,912,156,211,441,118,826,015,178,
736,758,176,198,180,459,582,931,173,867,249,839,917,745,503,079,547,483,697,
575,993,879,094,303,161,817,835,831,744,660,031,061,961,880,418,630,640,508,
264,021,766,833,546,892,706,595,627,696,814,319,496,017,105,553,397,151,353,
175,834,583,546,133,581,241,849,890,930,770,364,244,751,233,255,166,479,000,
851,096,645,951,471,599,479,439,268,311,527,484,219,132,775,708,444,340,760,
447,919,653,252,656,765,918,833,744,932,554,834,865,519,935,748,576,659,085,
514,741,982,812,402,019,591,152,402,739,968,491,946,878,014,116,339,875,806,
604,623,505,164,698,949,550,880,136,169,800,643,126,241,595,451,942,717,029,
016,629,999,108,769,085,064,802,084,628,759,151,460,707,134,429,731,847,702,
026,639,447,953,045,765,929,682,207,919,528,950,793,226,263,921,026,692,255,
202,043,440,761,504,721,730,869,690,924,857,113,466,276,643,313,558,943,579,
358,612,563,286,417,297,638,106,795,417,951,803,532,728,427,090,897,599,420,
194,404,279,128,382,360,649,627,781,038,074,371,235,998,499,847,900,545,983,
133,857,061,324,584,714,744,576,412,027,212,037,712,663,548,747,595,555,301,
352,847,400,778,931,604,083,283,856,161,186,558,897,665,307,179,604,090,786,
415,549,617,794,791,149,505,116,208,323,870,191,563,116,656,791,454,269,276,
931,130,905,019,903,513,990,777,976,378,480,640,571,576,187,292,830,207,360,
198,584,295,157,046,741,539,437,745,660,117,185,660,503,681,261,508,339,992,
509,870,876,234,977,044,947,593,322,544,310,235,967,726,997,369,549,290,704,
041,705,656,762,417,981,573,419,165,606,743,683,723,706,756,975,213,675,199,
110,537,518,618,087,922,500,207,400,057,794,031,261,795,719,925,958,296,155,
678,826,707,190,328,343,975,617,284,399,238,476,424,310,792,027,489,406,989,
402,699,966,083,843,277,924,517,433,045,037,485,438,513,012,687,038,090,873,
667,002,023,559,627,370,680,505,314,898,867,170,794,478,213,575,423,733,296,
269,320,181,417,126,556,100,122,584,073,409,241,413,707,039,345,395,768,948,
170,044,801,213,243,588,668,129,728,212,869,141,331,914,378,826,081,449,300,
837,363,134,743,593,406,131,547,876,071,206,724,752,247,670,335,510,669,275,
775,338,069,969,294,478,619,811,377,159,871,816,168,378,417,452,605,761,396,
967,311,975,036,573,354,715,551,005,771,475,895,574,920,369,727,271,499,627,
236,234,689,221,313,716,064,896,741,772,443,757,756,897,873,074,071,775,479,
930,785,189,637,997,805,571,627,932,260,921,279,885,775,638,299,114,158,494,
343,522,499,468,205,209,249,395,661,403,469,358,769,095,994,949,389,616,353,
275,268,822,405,195,658,808,272,382,190,230,295,328,036,060,327,016,813,595,
813,992,296,760,681,761,062,369,266,645,342,936,591,885,175,102,779,559,261,
297,070,874,044,226,644,091,586,150,003,497,334,675,151,766,397,415,168,130,
877,706,613,023,089,824,869,003,128,871,197,417,415,241,279,382,107,203,777,
495,783,120,062,170,079,303,856,295,371,488,358,890,086,718,516,978,479,539,
502,201,547,576,920,633,268,029,486,842,577,057,015,575,024,135,092,198,096,
782,504,183,356,009,218,897,898,658,737,391,973,090,479,985,698,302,730,518,
814,066,559,566,363,058,115,282,225,924,681,767,185,854,985,685,135,265,079,
104,626,529,542,732,953,216,030,735,312,553,636,400,196,310,998,517,537,118,
883,413,346,557,055,459,500,474,361,824,675,078,278,049,631,033,084,870,855,
139,452,529,182,054,812,279,770,983,934,446,477,614,231,554,116,220,424,010,
274,045,452,298,453,219,592,951,813,391,677,283,041,382,118,544,577,683,094,
610,036,095,560,710,517,959,592,575,363,137,798,559,034,142,450,875,582,948,
632,330,185,110,011,953,384,675,824,331,595,256,518,732,616,982,978,719,250,
496,382,394,841,732,134,178,430,617,464,642,978,916,992,051,823,301,500,561,
549,441,856,835,026,807,119,741,667,527,999,241,075,843,270,683,848,641,836,
064,217,317,983,686,755,054,425,556,429,829,461,747,026,527,162,016,640,495,
403,069,075,208,400,518,874,169,158,588,748,758,805,213,391,148,354,051,706,
570,863,177,676,776,358,975,594,668,813,233,459,729,857,948,331,536,545,332,
749,872,546,754,447,321,156,023,699,560,808,432,991,258,148,789,785,736,937,
050,217,386,257,375,148,572,158,817,379,927,914,156,950,767,450,682,845,101,
407,142,717,447,149,659,021,170,842,703,791,870,397,518,809,158,823,975,172,
180,308,040,725,855,751,101,077,810,120,794,331,087,558,526,577,755,219,419,
444,871,706,166,616,144,951,268,191,088,657,873,646,277,070,517,049,014,549,
688,473,801,543,692,646,416,976,743,986,593,835,296,644,521,493,517,868,901,
063,596,417,327,708,723,833,308,961,438,349,916,220,766,490,331,309,387,778,
561,487,765,239,337,356,467,031,648,198,403,690,389,592,827,506,821,245,048,
602,124,103,151,891,079,483,207,776,508,899,798,313,432,454,331,075,227,760,
845,877,191,368,163,786,633,713,009,075,625,713,960,012,374,025,493,554,430,
501,478,212,045,522,807,873,375,066,308,816,637,217,843,286,882,666,177,299,
810,828,310,338,220,871,377,155,640,876,788,267,515,143,485,005,613,836,484,
460,290,588,745,752,512,522,166,849,229,377,604,789,403,584,944,514,308,099,
133,800,729,687,751,265,602,053,457,520,763,852,409,553,599,056,660,078,429,
852,769,076,432,324,329,740,700,108,876,874,777,609,622,069,001,836,433,255,
948,829,425,806,601,963,390,853,255,513,339,564,351,758,174,862,345,232,760,
560,785,570,487,760,317,301,392,454,643,655,951,715,259,207,203,387,302,916,
325,988,197,961,947,877,345,208,336,329,955,538,800,193,501,962,205,194,394,
730,090,634,427,425,279,247,828,715,661,964,753,965,777,755,439,407,725,086,
149,423,916,336,107,765,989,984,674,869,423,512,070,800,544,491,657,197,220,
501,628,866,327,201,658,775,758,318,332,187,080,183,528,863,717,364,070,224,
924,365,557,171,182,983,833,128,795,922,145,616,431,298,170,869,200,850,211,
731,049,867,914,661,267,574,460,647,949,293,908,237,683,592,117,945,889,460,
572,123,974,367,416,207,727,485,944,383,303,720,883,585,560,247,919,443,290,
994,179,800,463,010,618,619,356,097,541,641,857,221,221,440,224,999,332,895,
615,683,467,399,729,160,090,229,368,107,404,981,800,240,385,540,285,664,844,
992,282,536,462,696,031,239,216,953,480,289,259,970,154,482,193,467,991,596,
260,577,466,004,568,595,251,103,251,510,030,276,902,611,763,486,504,623,613,
639,647,371,195,518,532,606,786,397,400,384,399,118,129,435,512,275,901,794,
779,876,749,873,591,083,475,524,529,017,807,347,187,031,300,503,851,998,119,
314,430,447,289,813,638,114,664,893,061,139,805,898,288,876,869,827,256,606,
616,050,105,787,123,456,675,238,904,886,313,240,552,482,834,378,918,982,255,
125,358,313,015,699,643,466,073,388,943,649,352,457,579,308,193,906,670,754,
160,344,902,069,323,292,580,733,606,833,777,389,952,137,855,245,022,514,094,
525,845,129,536,140,030,334,528,237,471,275,494,092,339,040,802,516,763,857,
977,113,195,810,001,075,486,127,109,233,707,151,985,976,300,881,185,365,324,
057,689,355,792,687,290,984,549,591,147,521,872,346,736,204,600,731,416,028,
775,474,139,881,698,870,334,599,749,740,766,114,644,026,750,576,800,528,893,
174,065,280,859,119,498,555,567,999,976,770,840,622,151,665,058,752,689,130,
999,764,372,291,481,394,305,889,414,886,192,184,873,034,936,668,147,605,840,
491,230,574,764,023,496,902,975,030,660,337,037,480,200,029,162,369,825,185,
535,716,290,926,788,979,602,137,427,568,368,573,731,878,937,708,494,420,910,
717,521,889,539,408,775,368,763,015,114,745,635,603,254,404,120,788,528,556,
960,264,114,161,868,893,041,186,528,491,492,569,530,676,178,948,086,215,827,
834,717,499,004,173,918,236,633,031,964,996,978,929,974,755,064,170,806,712,
965,390,543,845,241,293,775,793,000,550,486,479,351,328,715,114,039,308,914,
689,421,512,139,554,480,539,053,835,391,907,526,132,000,718,576,122,310,744,
553,076,464,793,531,985,797,580,645,583,927,952,911,659,781,780,775,673,348,
437,893,727,315,641,253,979,259,177,360,200,394,329,740,750,633,426,663,059,
190,214,128,022,572,518,930,003,552,099,344,033,522,627,508,256,411,361,471,
335,588,437,583,645,229,248,839,196,762,701,614,394,623,198,541,599,819,775,
953,259,576,628,113,684,339,243,365,205,278,250,548,129,673,367,092,493,382,
761,833,945,648,320,228,417,223,929,200,032,444,741,111,795,767,678,440,942,
939,968,048,753,508,980,408,362,407,902,648,382,787,125,134,645,574,624,690,
568,958,713,049,476,456,327,635,798,985,416,392,746,668,107,967,514,181,890,
520,517,284,769,146,818,810,075,438,088,216,125,929,571,666,044,270,229,601,
027,396,630,994,196,634,850,676,873,290,171,366,947,736,015,669,210,755,727,
286,938,298,612,212,736,258,653,658,146,100,095,228,588,442,085,317,897,423,
759,163,685,115,063,674,037,470,750,094,135,380,527,207,852,924,477,281,736,
118,036,368,384,693,098,043,473,591,332,948,149,248,997,515,829,671,400,284,
674,352,838,370,053,472,896,198,923,440,194,363,541,779,674,448,330,942,299,
809,262,129,701,012,296,809,990,811,996,500,361,734,732,078,671,754,665,630,
615,227,348,545,919,432,506,700,596,804,363,930,524,235,811,945,421,679,717,
883,170,866,443,617,203,280,208,594,838,416,555,894,935,004,372,486,744,119,
388,708,479,263,172,142,739,189,151,589,515,083,859,858,754,223,129,882,314,
804,152,814,105,357,912,198,097,297,983,706,226,925,281,469,927,487,689,961,
527,422,872,280,258,826,778,813,711,267,873,030,239,909,118,733,493,074,653,
268,890,343,785,646,711,807,395,170,426,243,415,590,031,826,455,966,329,686,
950,959,309,575,084,637,185,922,796,416,773,074,217,868,632,234,857,042,201,
480,876,605,446,961,495,035,986,719,820,471,519,720,715,199,767,128,563,720,
214,680,671,981,763,748,435,211,406,518,771,865,662,968,646,276,618,908,688,
359,346,265,969,986,118,597,229,213,577,516,694,100,860,065,866,103,071,730,
968,811,975,099,738,796,569,509,539,838,693,860,834,831,826,818,280,159,930,
900,325,852,962,147,586,186,332,003,892,257,988,520,421,232,454,012,047,376,
820,961,541,300,574,256,403,489,158,289,224,984,771,367,955,498,261,960,769,
281,200,794,659,734,685,481,030,954,198,167,934,168,175,476,686,991,003,700,
155,346,591,401,814,800,624,774,162,762,582,093,858,053,180,452,595,936,341,
020,570,096,142,074,018,945,156,875,502,743,946,851,801,134,111,824,447,928,
839,966,195,986,984,493,898,863,723,862,357,179,487,828,795,940,817,902,511,
102,775,500,618,190,014,648,404,107,443,359,038,687,220,556,280,486,961,621,
146,015,173,510,526,285,003,220,091,063,716,470,841,347,014,619,062,817,022,
129,877,283,830,332,719,174,288,155,473,094,427,274,888,458,166,451,779,484,
252,230,556,329,652,728,836,323,293,720,981,783,534,534,994,799,341,897,456,
336,101,521,423,815,600,975,970,029,392,398,586,389,151,884,592,888,355,946,
505,506,575,912,001,147,900,837,081,199,554,549,460,779,598,556,087,128,124,
213,939,883,894,443,888,526,879,560,157,711,710,215,202,768,432,244,528,917,
320,296,658,328,244,325,797,041,277,238,130,763,799,104,395,889,144,791,993,
765,343,319,733,480,696,148,424,203,879,044,330,642,838,237,852,295,511,941,
293,375,448,203,258,074,422,014,954,219,831,078,163,468,542,596,107,928,972,
560,346,647,043,332,320,669,975,569,305,215,681,317,352,493,983,906,211,758,
048,505,961,159,870,268,577,715,008,105,743,074,938,694,196,219,680,906,277,
096,020,403,661,589,351,616,402,778,287,961,390,091,081,033,804,834,644,819,
360,219,814,020,904,189,943,043,224,348,046,279,226,733,481,135,100,134,241,
653,521,041,662,202,989,608,595,464,395,615,035,418,032,225,596,393,074,919,
109,930,199,211,650,853,298,705,247,498,056,585,944,745,208,059,900,938,974,
548,099,660,729,502,479,224,307,267,950,511,321,282,319,610,100,855,576,543,
306,591,568,438,382,775,144,589,745,597,150,087,764,678,449,709,073,674,822,
439,033,220,633,983,342,431,349,608,307,047,826,121,405,667,323,378,644,072,
204,278,374,112,973,548,525,427,471,145,210,947,705,390,428,128,121,397,626,
963,311,384,770,947,023,798,293,391,777,203,347,081,323,219,201,354,599,213,
867,701,991,664,902,623,155,525,536,965,378,983,361,723,872,636,200,994,635,
224,014,110,210,453,897,385,139,445,035,583,159,949,549,907,148,228,769,834,
336,556,724,210,978,855,244,287,434,754,837,793,657,253,134,965,640,530,645,
475,455,711,554,367,302,278,451,587,312,208,815,887,808,787,825,084,397,313,
788,504,472,295,657,038,077,252,202,426,830,591,056,747,998,600,172,060,334,
697,114,676,412,402,975,907,784,193,304,586,036,033,780,180,451,863,335,352,
264,364,877,392,533,391,550,087,702,447,848,892,267,990,271,626,827,134,916,
833,427,495,060,586,136,634,712,096,095,557,592,655,277,477,238,575,153,714,
006,284,061,493,826,025,368,601,491,625,817,311,703,621,995,871,842,827,922,
869,467,424,913,242,717,836,381,322,935,319,434,958,401,030,222,388,458,200,
769,270,852,294,348,431,254,652,295,112,223,743,657,742,124,927,233,022,027,
572,900,282,011,631,100,351,388,208,164,820,020,929,592,074,268,857,416,046,
517,300,211,474,210,070,593,956,890,597,427,483,668,009,492,345,820,909,261,
041,539,076,869,195,841,730,378,375,842,826,286,662,950,650,171,230,063,978,
434,416,155,160,914,409,151,728,695,489,581,703,170,431,104,066,845,966,596,
636,476,907,662,095,431,249,407,050,510,170,688,595,897,072,596,167,284,012,
918,923,935,990,823,852,942,928,993,454,923,986,008,697,948,476,430,643,859,
373,476,469,335,160,266,858,252,852,718,739,476,412,369,439,930,444,681,749,
804,397,849,234,107,522,958,673,904,697,613,471,652,183,296,884,406,583,798,
658,274,838,381,437,582,636,775,165,200,958,606,023,070,745,606,552,128,794,
736,875,762,883,186,679,138,920,580,311,954,677,642,914,197,566,086,504,835,
537,009,737,836,525,919,200,443,730,062,310,049,781,910,419,499,424,001,354,
985,845,426,007,513,020,628,673,549,046,986,513,171,822,766,310,841,998,892,
962,837,213,642,269,448,640,579,267,643,692,452,228,441,715,366,105,729,915,
057,696,473,258,858,805,373,360,134,556,894,716,449,086,233,717,095,635,219,
010,357,700,997,740,287,913,394,575,996,090,842,899,254,664,871,176,329,203,
240,150,225,712,868,090,493,023,872,391,796,673,208,511,986,169,128,427,241,
494,713,554,631,725,267,871,357,640,149,265,080,973,383,932,323,465,792,641,
513,796,320,915,522,501,023,462,956,925,662,803,396,461,473,868,423,330,417,
053,193,772,889,491,065,289,452,304,080,026,729,771,985,974,405,203,781,033,
453,961,153,286,125,587,685,817,889,862,334,033,485,449,565,040,818,948,068,
630,717,670,960,245,640,020,606,018,480,789,947,951,449,911,441,481,368,220,
409,348,071,075,129,870,619,650,160,597,901,574,901,574,588,230,252,904,634,
317,435,043,497,470,655,159,317,025,272,325,483,487,111,574,487,025,376,142,
354,490,121,799,560,381,537,195,058,261,760,910,411,629,451,609,600,632,200,
596,720,608,907,364,768,848,137,089,312,219,017,681,154,416,763,828,519,532,
065,357,221,699,912,549,537,543,193,095,195,582,252,539,656,865,698,601,975,
954,054,643,326,748,680,429,400,257,397,776,293,747,221,589,415,867,940,545,
611,154,161,313,176,237,780,831,245,420,746,635,908,845,824,566,228,255,372,
429,450,345,632,382,578,628,349,188,223,484,608,319,069,192,061,456,779,311,
854,462,673,730,214,815,912,229,332,542,682,307,419,782,248,968,528,914,978,
424,153,071,986,475,407,286,873,531,002,916,517,016,396,814,028,027,571,695,
435,344,624,545,766,051,026,157,809,171,171,087,398,147,385,469,653,762,204,
323,800,892,910,985,860,679,121,539,117,375,788,889,648,892,324,175,055,329,
585,484,587,244,912,672,821,911,139,756,173,054,739,307,498,663,737,846,340,
238,557,867,790,303,640,072,290,540,059,786,378,948,841,497,408,392,845,555,
541,936,968,240,248,507,363,719,973,084,456,410,097,768,356,810,495,757,487,
808,508,271,574,608,327,505,489,053,480,250,176,732,700,008,050,129,077,134,
355,717,835,362,492,065,748,565,970,349,495,847,186,397,748,892,508,550,109,
340,171,574,200,182,999,164,626,933,593,259,455,915,220,640,454,865,250,251,
896,394,273,196,116,032,945,498,225,334,403,380,477,672,571,184,026,243,355,
854,405,678,368,447,169,770,022,356,326,802,334,069,459,742,914,083,128,586,
802,090,202,690,747,280,079,029,651,891,582,069,118,632,295,936,073,846,488,
980,224,146,130,550,635,890,033,131,139,433,766,353,077,674,864,047,047,069,
654,975,647,687,670,207,518,103,858,929,409,853,768,527,397,935,005,268,657,
806,572,801,005,248,985,612,314,349,148,665,377,851,257,259,026,294,800,100,
081,097,124,365,882,455,902,881,509,849,894,639,592,081,192,685,338,898,107,
058,464,852,725,692,207,558,980,910,693,353,062,092,712,538,804,715,197,067,
375,787,131,479,711,009,359,067,200,814,128,212,047,174,617,253,077,868,749,
142,717,360,765,438,948,663,845,462,784,103,230,742,678,506,945,141,715,878,
238,108,202,116,445,905,448,883,710,060,483,669,348,441,941,745,597,205,985,
941,273,298,007,772,040,649,825,793,104,154,224,713,826,409,677,244,607,936,
463,220,145,046,878,762,008,347,932,097,585,025,818,979,088,340,428,788,442,
593,086,885,036,733,237,423,037,300,022,254,995,435,513,952,109,344,281,021,
534,475,925,713,365,696,652,029,622,255,069,185,100,595,702,868,473,202,686,
263,183,602,314,715,817,664,964,352,216,000,570,080,767,516,947,409,580,857,
417,678,436,677,521,417,721,765,791,578,462,212,283,502,915,561,704,575,032,
277,937,838,084,784,079,283,773,246,834,053,199,623,980,585,995,363,693,971,
521,313,460,063,955,652,500,954,117,679,239,716,860,767,847,079,188,469,417,
319,177,571,596,859,739,951,436,975,673,358,613,706,461,723,060,691,392,135,
409,861,300,127,690,087,694,871,235,590,618,149,408,104,072,578,454,275,852,
135,485,999,438,102,172,093,905,696,433,980,310,341,660,864,285,363,248,518,
586,177,853,002,958,566,905,503,499,969,576,826,338,443,213,065,331,196,768,
831,859,747,173,971,122,325,753,147,495,618,771,678,816,790,973,254,213,503,
394,827,632,573,792,415,773,892,533,794,634,242,676,440,053,710,197,614,941,
995,775,684,948,454,805,989,421,042,230,161,961,768,261,819,689,447,314,913,
438,567,452,992,310,577,450,546,635,766,101,781,160,940,773,310,041,806,680,
838,614,653,976,217,509,475,330,312,167,197,095,465,479,005,513,387,481,439,
797,048,100,570,846,596,483,546,331,073,960,265,251,428,347,312,772,765,546,
462,997,312,605,621,460,049,207,894,516,776,384,298,483,079,340,824,024,166,
950,265,048,691,644,863,742,301,661,364,616,184,627,949,990,968,128,415,851,
473,713,433,227,032,101,131,626,928,014,639,046,067,767,353,731,316,834,418,
176,951,375,379,276,494,249,581,485,280,238,991,286,492,559,672,738,858,312,
677,819,858,337,629,752,101,416,082,835,891,003,802,762,751,569,781,259,850,
857,205,686,822,718,844,966,130,981,006,415,257,835,769,173,558,044,726,311,
991,273,437,333,892,340,233,464,609,455,252,687,050,510,740,960,595,853,975,
037,586,984,620,664,584,233,335,448,729,930,505,981,084,336,279,218,467,766,
067,191,801,793,697,603,224,235,828,000,231,940,879,421,039,672,046,788,504,
239,134,245,623,717,333,714,410,759,773,040,711,671,258,689,698,233,159,777,
204,896,438,704,707,874,169,397,564,976,813,744,076,356,036,408,197,585,609,
854,992,753,520,584,940,586,035,549,141,468,375,086,022,027,094,312,960,098,
031,317,660,636,531,315,464,619,104,903,758,826,811,806,979,925,510,871,581,
402,501,645,713,184,696,952,789,960,147,558,133,781,410,035,622,891,634,745,
414,370,132,457,770,580,102,471,513,857,401,095,958,967,235,288,856,467,966,
777,382,393,595,893,645,633,388,256,782,048,784,026,677,093,112,869,373,580,
986,479,947,403,545,190,147,417,887,238,780,658,868,982,481,351,635,995,502,
363,902,529,408,502,037,858,162,779,503,672,492,032,446,456,284,229,697,171,
462,676,153,689,317,378,725,589,670,680,744,112,303,285,213,887,536,120,238,
479,457,776,442,698,445,925,600,946,144,387,520,774,937,690,685,716,326,238,
325,400,204,097,950,029,283,518,398,954,413,055,227,816,894,498,557,014,337,
529,284,020,252,120,653,966,255,406,880,066,185,627,709,149,672,359,474,822,
362,803,987,352,328,754,212,797,371,648,273,970,787,960,332,231,448,680,084,
585,220,053,073,374,512,469,634,809,215,339,678,040,712,269,333,591,822,102,
716,400,566,352,013,284,593,944,305,654,300,694,163,019,660,854,147,091,507,
422,959,035,934,557,324,437,070,059,585,238,031,783,381,631,078,121,406,267,
052,527,548,818,916,367,907,951,459,048,748,907,861,177,201,809,343,469,387,
510,185,587,673,877,880,997,310,368,976,611,412,089,931,753,285,464,934,688,
830,161,795,213,919,087,750,691,384,746,675,825,361,859,784,892,841,080,357,
122,942,399,879,636,127,451,520,405,954,094,306,224,734,056,958,739,062,009,
986,160,523,655,533,239,967,483,415,647,776,454,058,160,908,080,701,550,156,
451,721,719,054,716,667,102,975,646,159,008,388,046,095,957,745,876,909,623,
953,810,081,540,933,511,774,024,431,575,227,127,770,241,370,540,105,173,933,
407,053,554,895,973,300,868,927,224,914,643,086,862,722,743,809,993,873,067,
940,711,260,576,077,446,767,882,399,286,410,962,624,011,864,700,552,612,069,
730,037,151,020,717,978,804,718,948,511,223,611,038,668,742,875,129,109,832,
607,918,232,743,012,363,991,047,063,416,397,285,076,053,409,681,189,615,789,
369,134,753,896,421,663,990,569,430,412,023,927,779,326,965,802,470,532,604,
999,421,618,256,834,571,534,482,834,822,077,362,154,934,344,368,144,998,592,
354,194,327,292,693,364,056,207,107,320,135,323,910,796,650,572,116,536,323,
573,221,956,897,620,830,158,440,586,190,725,718,202,260,279,776,257,436,358,
223,933,830,632,966,847,107,221,787,416,081,098,008,624,994,277,366,567,940,
649,051,825,820,868,825,313,294,779,536,783,917,501,587,702,578,147,896,413,
100,060,930,584,673,942,560,584,167,374,307,408,939,925,157,513,197,374,315,
725,864,459,217,811,463,611,157,610,453,548,810,409,384,839,578,102,780,636,
247,658,561,308,840,723,943,608,594,703,204,825,582,043,804,333,858,008,379,
328,251,595,959,171,621,436,471,660,207,131,604,720,016,689,032,959,734,446,
355,231,033,166,371,439,503,544,879,499,363,624,356,964,076,837,054,811,956,
930,541,265,351,423,701,688,661,768,721,984,512,013,937,365,745,153,608,006,
554,312,963,350,114,815,900,258,656,919,805,075,565,343,321,384,990,331,267,
536,538,379,032,497,335,811,878,809,178,147,651,227,427,592,397,337,263,764,
355,129,454,793,930,555,647,951,151,498,916,290,544,988,327,842,476,795,860,
884,197,825,417,858,964,483,264,687,966,273,764,012,776,475,608,512,536,469,
474,260,359,848,439,590,494,009,394,072,115,617,957,608,790,674,247,540,927,
592,983,742,380,831,436,315,437,602,358,811,605,813,106,000,122,919,065,861,
954,719,685,227,851,559,023,916,786,292,536,736,380,131,606,456,419,000,434,
752,390,987,822,504,613,717,457,818,056,141,168,258,613,912,210,100,060,949,
136,705,630,743,983,173,506,630,807,726,616,452,328,328,318,603,585,552,699,
107,973,928,002,920,036,186,461,087,897,415,482,151,459,405,500,862,657,043,
194,015,609,888,096,166,489,635,133,859,685,901,055,406,293,900,445,547,858,
356,099,961,135,418,646,895,942,003,415,156,602,380,826,795,446,516,427,310,
222,803,886,936,965,688,337,882,287,860,494,415,093,807,840,091,693,173,723,
377,798,975,044,102,846,265,878,633,450,197,773,021,254,596,355,021,110,061,
189,709,706,760,124,785,581,072,433,511,826,585,825,157,172,886,192,820,949,
310,176,809,676,078,309,051,053,578,605,811,056,369,283,379,689,193,330,256,
744,681,783,183,301,504,242,758,476,489,104,201,754,250,237,927,210,950,020,
090,618,316,561,416,115,352,492,243,989,481,779,422,287,101,936,374,196,906,
898,894,118,184,525,604,808,493,345,573,158,184,638,096,444,253,064,114,254,
986,254,204,750,941,428,158,493,634,327,745,110,856,841,127,676,913,251,185,
053,368,311,801,581,781,495,713,083,157,402,737,955,647,718,847,673,942,124,
433,733,134,317,871,665,391,043,233,391,920,115,111,990,674,464,175,166,568,
941,387,315,772,476,793,078,411,216,922,360,321,446,030,953,908,720,631,999,
129,716,665,147,135,429,668,645,326,327,449,201,289,392,933,768,247,605,573,
548,383,454,244,166,703,317,866,296,031,001,294,173,253,790,624,542,927,058,
525,770,077,829,802,571,611,365,283,235,681,306,267,828,589,871,821,416,627,
892,321,826,588,423,295,962,994,694,038,813,721,208,984,114,251,638,538,099,
274,780,340,710,982,678,894,143,552,587,834,282,237,294,499,394,143,913,662,
870,679,514,560,067,343,331,572,723,041,428,412,201,893,124,800,399,240,316,
267,559,445,657,571,830,198,856,586,016,546,665,643,917,694,406,763,659,958,
828,281,923,101,060,523,367,107,988,470,180,681,024,421,512,813,897,630,498,
011,299,702,450,494,284,630,655,996,315,014,778,995,043,969,259,463,967,005,
107,930,063,805,536,287,721,894,893,809,855,019,491,852,354,944,991,677,202,
312,868,307,253,392,784,991,453,080,958,091,831,628,156,071,853,787,690,834,
394,098,148,944,779,898,975,549,711,747,631,444,206,083,384,489,117,218,911,
444,805,970,730,606,821,781,519,979,114,036,600,432,387,314,008,612,612,670,
565,493,856,590,614,769,144,094,528,072,976,310,352,359,164,286,006,105,874,
745,565,015,765,799,948,818,646,755,487,285,682,301,550,996,261,440,622,889,
194,328,310,660,609,192,274,159,615,157,656,291,779,294,674,159,834,329,941,
407,325,945,763,805,564,159,284,147,545,063,044,794,106,965,704,701,304,086,
770,419,466,873,818,972,555,577,420,660,331,312,900,023,652,400,586,930,068,
287,707,084,876,659,627,196,689,887,942,745,401,721,349,798,540,342,174,884,
625,991,584,093,988,087,418,833,591,321,949,219,040,979,182,251,616,546,379,
999,404,432,599,861,102,200,265,764,415,897,930,763,341,726,250,717,341,516,
880,977,898,461,495,641,868,517,209,328,341,385,058,246,608,179,915,074,687,
226,313,765,813,478,207,378,995,227,684,870,040,532,857,229,427,266,978,925,
350,040,287,970,217,567,133,103,172,271,935,259,487,059,882,271,759,794,283,
052,231,670,402,404,518,022,392,069,365,553,108,101,030,164,485,611,630,941,
354,615,967,079,110,406,981,587,339,391,014,080,323,890,805,807,508,732,378,
295,254,164,334,196,229,776,842,367,034,628,357,349,980,541,772,289,559,263,
447,307,470,887,589,162,033,962,305,555,789,287,525,306,994,297,413,856,373,
634,412,239,574,211,397,176,093,677,053,280,906,267,117,181,064,366,884,226,
020,482,915,627,062,243,699,231,190,876,157,636,130,320,208,415,242,710,960,
159,398,581,693,011,647,796,306,608,812,258,312,058,704,160,426,453,308,146,
212,173,942,282,377,604,373,279,862,488,249,698,094,424,742,045,180,378,931,
932,102,361,527,532,402,767,596,316,017,278,895,242,349,516,860,206,861,372,
124,021,855,324,888,739,395,620,961,754,262,164,692,349,830,839,358,200,451,
268,265,919,753,979,084,991,461,039,993,717,723,172,211,714,234,597,176,000,
879,333,097,548,256,727,739,094,865,387,887,401,865,185,146,981,777,696,553,
866,829,931,063,768,571,174,079,747,265,600,867,391,751,917,238,821,990,805,
210,495,820,599,915,844,478,621,132,165,711,918,629,074,811,686,655,812,200,
140,175,963,196,450,282,686,911,694,022,960,952,724,555,041,557,915,375,084,
029,284,166,482,335,927,199,395,900,391,486,870,629,583,952,371,697,212,323,
872,634,644,863,871,637,673,620,695,211,544,057,962,689,406,525,888,327,435,
000,633,032,185,703,480,005,469,776,462,526,947,110,626,928,376,337,606,575,
787,621,941,723,568,268,912,665,495,786,040,073,578,625,950,970,664,552,789,
882,114,524,055,745,546,118,492,521,650,385,203,232,410,858,745,903,229,936,
351,344,766,149,689,716,386,713,149,836,579,808,277,519,066,086,029,222,218,
692,415,817,495,074,702,967,198,490,161,051,690,846,621,971,493,914,254,917,
217,164,181,163,087,260,141,777,716,694,307,213,426,527,960,807,619,427,219,
662,830,934,093,408,485,849,721,277,500,262,916,786,427,493,354,239,437,250,
378,996,625,910,420,268,144,253,886,201,574,309,774,866,987,914,120,552,428,
262,029,143,084,097,751,809,954,005,407,068,511,128,319,445,025,510,606,427,
222,478,171,015,388,205,813,297,564,880,997,177,895,776,634,642,161,466,227,
681,680,894,269,269,451,453,629,331,747,787,768,112,650,010,339,938,470,321,
446,637,963,988,356,394,718,078,201,245,276,489,855,616,841,935,041,623,723,
778,587,054,775,475,207,732,552,016,273,526,611,047,889,233,793,603,217,779,
288,965,734,115,257,358,057,502,366,203,658,311,188,826,539,044,063,042,977,
840,782,182,073,324,049,169,580,643,105,130,290,639,783,352,123,170,703,778,
525,217,240,754,409,169,899,068,100,898,518,449,829,279,082,444,710,426,161,
938,391,112,819,396,842,706,443,261,096,510,728,615,460,064,422,879,262,304,
917,278,176,900,022,231,994,597,206,070,417,514,003,962,118,679,346,974,402,
083,124,752,570,579,193,840,579,877,960,560,454,444,709,736,968,154,881,839,
716,567,964,886,938,696,086,245,541,295,184,938,387,418,192,204,635,276,524,
505,660,891,272,996,057,126,852,876,348,561,923,903,194,632,624,829,493,948,
103,077,028,350,606,234,119,913,896,929,930,160,528,215,553,484,697,527,953,
100,994,335,654,981,405,906,448,441,853,346,177,644,686,714,522,948,350,900,
345,268,888,260,947,446,075,311,209,879,206,104,686,792,651,476,919,366,753,
900,342,164,309,029,891,314,404,685,176,926,475,128,916,684,403,164,596,494,
500,921,490,356,900,103,994,080,391,303,921,469,577,947,354,040,773,064,964,
003,905,414,954,978,769,740,064,771,912,474,217,974,688,785,014,311,986,344,
304,918,509,786,671,620,213,864,332,891,626,490,214,991,212,845,086,567,134,
162,083,454,475,488,335,871,463,847,858,838,517,976,681,346,594,051,855,605,
864,090,725,891,554,359,051,945,447,998,342,490,990,003,026,212,495,203,732,
821,521,176,334,855,652,204,956,706,027,913,102,970,693,655,919,720,867,606,
867,358,500,451,948,012,297,062,583,889,807,251,077,166,952,411,059,128,079,
517,455,479,296,997,797,752,299,278,358,845,493,949,455,280,271,185,721,234,
016,926,460,536,760,251,647,178,340,463,226,697,814,541,433,887,140,429,585,
486,075,445,969,093,772,129,152,739,542,697,571,751,074,732,370,460,454,300,
374,891,668,606,016,989,650,039,116,787,247,353,674,989,490,465,459,782,879,
194,355,355,626,486,932,190,115,551,714,656,457,416,461,730,177,185,564,192,
957,089,246,261,574,184,499,041,294,699,172,628,365,674,555,720,193,716,146,
436,355,955,056,837,113,991,007,136,784,310,516,399,949,754,016,764,118,344,
816,394,284,774,827,572,444,572,282,892,719,438,743,755,579,652,943,519,919,
921,299,341,517,294,657,497,800,524,191,886,273,032,113,914,856,455,912,982,
999,676,441,213,903,445,487,697,549,406,574,353,283,071,864,534,630,857,534,
703,510,381,689,800,694,174,484,869,874,659,808,792,163,548,803,049,745,934,
115,142,278,489,357,772,893,414,187,893,323,208,686,797,209,386,636,339,017,
795,074,945,383,369,427,199,811,497,026,638,120,790,782,648,832,380,161,568,
013,381,558,936,490,082,577,915,994,104,226,095,642,407,310,698,414,974,417,
508,480,199,872,219,750,207,868,852,205,300,208,787,924,087,810,239,682,588,
318,674,748,456,231,033,858,422,741,206,658,101,813,533,312,617,122,823,878,
648,771,351,322,863,510,866,333,073,228,390,855,182,020,661,867,154,463,549,
145,049,246,392,350,450,052,439,170,910,256,588,713,200,141,726,365,243,442,
509,598,358,947,250,100,229,085,669,004,077,225,957,818,312,436,474,983,049,
063,670,171,281,663,362,762,637,871,096,761,015,932,832,520,556,894,010,489,
997,033,873,015,699,544,715,127,181,049,519,169,323,393,977,522,919,146,181,
878,732,646,850,952,659,898,503,417,915,362,868,933,552,720,602,575,228,347,
232,977,684,861,223,322,103,779,485,025,450,097,892,222,856,806,032,504,980,
677,848,180,058,686,345,877,247,978,879,221,269,040,918,118,477,968,072,507,
666,324,413,720,511,432,724,498,975,267,251,702,805,152,005,167,822,158,966,
609,093,115,073,936,826,831,665,106,566,078,293,585,404,642,890,011,167,580,
913,878,233,654,585,333,393,592,615,615,221,606,181,662,495,791,932,654,866,
408,739,987,051,081,838,211,331,545,649,062,341,775,015,104,336,832,461,822,
727,549,396,402,125,815,532,871,696,498,922,274,751,143,682,300,393,278,060,
306,658,088,721,685,175,313,898,290,569,493,042,480,554,461,018,347,081,129,
401,644,412,611,420,485,435,112,815,774,594,743,558,635,393,110,763,955,665,
947,266,826,280,316,487,000,861,603,716,317,409,726,928,204,186,008,047,271,
105,773,649,913,867,646,249,918,906,695,459,453,340,945,761,554,749,925,476,
496,911,450,179,137,849,854,120,437,209,561,161,437,667,037,454,977,360,712,
284,400,122,507,572,931,690,589,762,381,430,364,828,927,653,896,405,089,349,
349,489,971,605,862,120,945,942,457,918,944,204,268,377,287,958,332,975,571,
511,630,802,442,087,580,157,478,835,600,601,171,480,606,389,502,684,133,532,
134,058,950,509,204,996,711,657,779,188,051,015,406,829,704,435,985,991,046,
504,753,184,235,884,015,500,122,578,435,908,315,403,819,813,641,915,699,180,
813,390,032,776,069,732,803,814,722,575,815,809,461,370,423,547,883,255,301,
474,203,647,247,482,858,079,331,246,255,300,356,416,079,416,780,945,965,537,
043,480,540,328,565,719,038,006,553,378,619,021,199,288,274,902,976,856,673,
921,368,899,621,339,951,103,346,754,636,025,947,344,484,003,144,476,229,086,
053,248,012,502,556,640,128,869,163,713,876,576,898,723,386,676,467,832,721,
541,014,035,834,378,978,448,561,427,217,911,758,651,684,320,916,543,446,590,
454,325,716,328,529,367,228,808,322,618,356,306,331,807,746,897,957,391,111,
411,101,732,398,536,343,284,999,485,549,736,010,701,797,976,657,747,277,252,
326,758,345,248,373,577,918,374,053,364,516,011,593,187,477,977,386,665,595,
538,900,161,055,655,973,407,319,923,525,405,246,951,035,173,170,528,396,657,
145,672,837,405,113,840,364,627,531,178,433,270,237,709,316,908,105,192,399,
311,926,031,333,811,204,245,960,704,538,310,926,235,586,233,841,317,857,945,
320,191,515,859,803,594,760,747,576,935,993,784,440,643,663,621,077,880,773,
085,739,063,105,781,706,637,935,315,492,825,284,753,262,792,737,528,178,807,
395,220,721,321,365,494,525,156,120,109,956,335,708,908,046,430,308,885,956,
653,247,060,916,676,539,009,005,029,936,187,096,088,134,022,104,739,235,712,
203,835,976,627,405,605,130,131,365,424,157,723,276,445,392,902,468,913,584,
461,443,591,671,226,932,080,405,646,739,217,240,581,810,387,786,330,435,761,
967,210,033,303,147,418,843,483,631,222,278,886,146,341,348,443,571,317,208,
992,059,017,536,047,666,456,935,363,656,944,553,688,355,922,884,971,000,626,
794,133,103,185,410,180,038,357,166,866,284,395,538,478,679,420,624,625,517,
816,059,112,796,377,626,795,443,977,093,797,208,163,419,134,836,858,876,598,
141,352,817,363,012,213,248,659,885,979,534,570,496,941,537,840,747,642,153,
950,771,568,934,670,041,581,848,999,220,889,267,580,102,096,381,280,272,751,
777,080,107,200,362,691,534,529,737,786,273,442,124,543,212,890,851,558,696,
461,948,708,429,530,950,176,081,550,496,417,149,652,264,003,362,165,825,489,
030,631,239,366,453,843,212,751,492,408,984,418,983,859,432,587,752,505,011,
300,746,597,458,811,141,203,305,699,276,635,690,677,843,550,936,314,732,172,
659,818,692,839,472,518,762,199,160,237,445,627,468,434,547,323,759,482,496,
134,861,141,518,989,506,160,234,620,910,901,511,210,276,862,931,826,233,329,
689,641,891,953,296,323,324,145,534,276,370,299,020,677,443,428,315,946,241,
730,419,067,999,508,519,119,787,095,748,344,756,495,013,128,699,070,813,499,
911,231,965,084,061,893,118,126,091,375,253,741,909,619,749,461,314,530,437,
196,523,526,152,752,695,772,985,870,624,129,376,450,272,700,548,217,471,884,
673,921,872,997,283,473,117,343,103,122,467,443,064,765,239,021,778,255,129,
545,972,666,456,123,585,774,057,413,207,565,716,899,736,997,880,185,625,221,
058,406,236,249,209,655,143,147,331,643,152,880,978,737,131,566,513,851,670,
456,041,915,923,623,871,072,640,975,338,867,610,593,385,241,674,743,492,781,
865,761,279,906,959,997,882,092,673,329,897,052,703,510,539,337,151,295,936,
498,473,079,803,728,150,238,973,485,527,751,351,004,987,569,872,534,860,172,
080,551,017,702,564,829,482,966,234,572,791,371,069,765,191,324,607,259,396,
985,489,724,896,245,503,670,927,708,696,844,961,785,327,083,346,385,421,710,
168,893,427,250,237,472,249,658,277,005,326,718,429,908,681,060,873,506,338,
095,878,494,369,163,540,498,236,188,618,915,348,881,522,066,408,928,991,516,
633,520,402,682,225,882,879,384,112,552,966,525,575,767,076,067,124,348,029,
134,104,023,325,518,855,252,350,619,957,059,245,965,534,284,447,813,406,544,
952,552,752,544,301,293,052,135,400,947,277,405,724,829,984,837,308,639,497,
664,483,229,900,461,836,485,859,137,328,025,711,335,742,771,632,732,001,568,
230,779,543,772,747,624,429,180,662,257,614,114,246,044,121,337,309,778,291,
168,663,438,509,495,946,579,113,824,336,590,944,344,167,998,398,395,035,395,
316,353,271,576,012,276,223,191,381,028,195,169,905,798,726,337,310,257,613,
150,401,786,765,863,270,951,682,568,605,471,486,693,899,255,876,181,928,167,
455,355,477,999,603,702,919,224,202,944,140,458,197,518,309,708,506,511,316,
842,079,331,008,695,818,303,244,158,908,253,198,525,546,998,496,302,683,235,
443,202,381,272,239,682,147,411,593,429,326,851,386,877,882,135,874,172,914,
299,917,469,907,716,563,744,288,493,493,668,369,995,895,244,303,220,654,949,
226,106,343,837,779,858,320,135,373,084,746,943,993,741,571,572,257,916,787,
811,649,212,669,387,620,237,516,298,310,967,575,553,326,603,774,141,649,296,
225,337,678,523,917,613,777,077,965,668,500,273,942,429,183,945,296,518,892,
138,904,897,574,234,167,779,020,680,888,124,258,102,151,415,894,367,728,166,
177,012,911,220,003,721,356,091,611,014,228,730,956,732,946,287,353,707,999,
386,755,055,517,013,678,631,070,792,256,521,384,068,527,228,473,770,227,261,
816,378,207,028,179,531,322,082,549,298,299,435,528,917,952,565,893,821,051,
754,273,236,072,965,438,660,839,850,932,606,941,563,074,944,644,788,166,414,
289,883,022,181,383,694,448,415,685,385,762,243,523,158,698,079,722,486,473,
136,213,196,247,882,805,994,428,578,451,584,872,453,549,515,023,857,311,488,
850,578,039,985,176,703,097,889,067,619,158,953,097,752,722,642,075,866,621,
456,044,716,726,063,338,646,728,882,366,411,815,729,484,594,016,950,089,308,
269,698,767,526,722,336,774,316,013,229,469,073,423,564,947,313,829,204,330,
507,104,181,367,540,496,246,093,740,458,939,090,387,680,915,214,306,450,332,
956,725,813,016,785,714,339,706,589,346,203,540,268,173,189,252,245,578,901,
930,513,016,646,894,792,801,821,580,340,470,480,091,195,822,255,193,029,502,
732,646,587,074,058,346,774,567,150,597,251,426,949,515,096,240,101,595,400,
120,882,732,534,064,022,923,197,808,314,829,758,644,734,358,381,785,285,066,
308,215,261,828,776,986,284,606,411,536,452,953,209,684,507,903,081,357,854,
305,717,702,699,839,306,481,806,721,153,937,503,616,154,874,196,569,030,445,
440,741,727,067,017,441,767,596,051,721,606,900,992,691,232,757,676,564,765,
952,521,163,510,875,828,187,381,947,319,852,675,036,914,396,094,863,360,159,
646,325,806,051,079,154,668,681,571,817,874,076,406,173,522,765,365,950,564,
772,710,465,621,984,421,500,923,457,313,407,955,696,962,959,872,678,114,721,
027,275,979,286,520,053,220,241,701,593,178,437,003,617,735,760,459,257,411,
288,186,442,497,636,742,260,452,875,491,276,906,964,058,581,342,847,247,738,
284,430,070,184,887,278,561,250,576,933,084,688,258,831,648,298,866,863,701,
061,816,532,726,211,177,625,003,719,654,725,974,080,544,952,832,258,826,015,
364,373,685,676,754,272,413,925,991,916,397,872,750,458,334,658,992,252,928,
850,469,780,997,088,352,857,621,632,545,772,135,749,216,434,504,070,136,193,
994,775,551,022,840,816,670,504,351,167,235,678,237,092,651,715,691,771,964,
522,690,436,091,530,690,733,079,030,346,320,811,954,036,806,443,973,334,522,
333,985,381,435,037,977,730,592,558,240,232,674,397,015,877,220,872,549,762,
179,480,856,950,280,588,501,128,961,284,565,767,337,344,931,176,791,328,735,
485,323,372,689,423,734,106,362,265,600,365,681,910,258,954,906,511,727,828,
000,799,401,089,815,012,945,748,652,530,470,975,997,760,117,315,669,471,970,
699,148,555,251,868,647,020,017,504,555,578,811,978,401,569,855,909,988,145,
677,176,977,166,495,686,856,322,024,637,234,509,805,703,548,509,235,806,762,
058,481,619,031,203,791,265,143,422,251,700,677,433,078,260,913,333,997,403,
827,017,534,841,962,479,007,368,879,261,034,062,990,034,425,408,388,546,976,
473,665,773,926,867,806,682,581,245,956,285,472,822,947,165,393,138,650,557,
516,620,321,199,258,390,736,438,405,776,986,677,502,356,322,553,845,018,234,
829,048,686,214,826,604,038,266,990,404,212,063,209,703,816,117,442,171,664,
607,368,270,097,089,144,022,304,488,425,053,993,013,284,714,358,193,351,361,
816,178,395,923,432,720,787,895,426,145,680,373,231,328,525,580,674,434,240,
081,337,041,402,403,642,485,451,933,896,313,478,251,701,779,354,049,211,065,
925,418,642,209,172,169,837,631,366,987,340,353,289,603,415,988,200,745,862,
680,630,844,879,395,228,951,552,654,984,681,387,873,272,108,327,076,466,024,
255,433,049,656,168,151,381,040,412,637,323,283,415,140,970,699,420,846,752,
273,409,993,713,443,891,001,393,879,492,247,663,980,579,181,533,469,766,436,
338,666,124,261,512,616,976,135,990,194,594,342,957,556,425,743,416,420,207,
636,380,311,495,907,527,337,287,994,507,099,528,607,012,617,494,205,878,249,
305,033,171,812,468,925,084,121,444,335,472,846,966,270,233,677,696,128,311,
625,328,792,248,015,167,748,304,082,531,651,375,782,116,673,300,676,596,433,
189,211,503,796,092,528,633,997,550,368,012,944,281,920,368,561,570,729,847,
377,021,533,246,274,555,751,772,233,657,270,116,612,459,059,553,535,575,198,
345,360,318,030,497,495,263,705,260,108,641,749,439,014,627,842,224,041,674,
954,162,360,686,027,522,956,046,996,063,808,958,696,509,639,262,172,327,776,
831,493,839,955,533,450,151,039,554,936,346,800,036,283,371,306,359,293,983,
701,492,370,310,122,303,221,440,838,226,415,526,615,674,131,837,762,093,501,
977,203,064,017,112,105,918,328,459,811,067,912,484,713,057,968,720,802,389,
584,560,317,573,681,980,569,062,593,675,464,474,638,750,538,078,336,527,316,
528,250,681,823,861,132,995,925,510,376,698,158,545,281,177,353,645,316,911,
064,991,551,029,497,704,553,616,331,141,380,038,802,673,154,108,199,153,444,
623,573,693,346,725,466,317,453,629,461,823,835,079,468,047,664,486,105,227,
866,446,522,275,135,439,391,894,938,726,698,898,231,517,764,483,262,974,169,
716,735,727,237,563,797,648,087,876,353,046,101,683,283,550,311,127,114,382,
031,286,032,614,383,006,646,665,104,929,141,524,577,622,925,013,808,464,473,
018,756,345,241,608,290,226,519,827,559,171,409,111,573,125,514,612,874,422,
390,175,319,285,728,666,811,902,282,433,715,715,691,326,849,244,570,312,341,
672,183,692,365,379,478,571,714,430,959,577,013,820,207,445,780,152,819,508,
860,095,796,082,241,476,129,659,061,685,667,643,814,450,438,306,050,337,880,
385,992,842,388,569,631,605,404,081,045,034,357,672,125,012,193,149,754,036,
052,248,252,526,131,275,421,598,860,169,465,692,224,232,957,708,786,179,446,
500,926,632,011,159,825,707,603,417,658,069,173,289,864,251,186,875,160,549,
927,521,562,085,153,029,414,197,615,643,336,524,792,093,853,919,982,378,319,
063,238,172,005,917,934,072,281,016,223,099,589,954,787,117,632,389,467,388,
121,930,139,219,279,987,406,552,090,851,405,748,581,785,500,670,936,661,223,
301,181,080,644,324,031,586,170,866,144,241,098,754,387,986,978,689,010,295,
115,930,533,780,824,232,287,729,819,777,496,129,998,985,646,078,473,247,226,
761,478,544,772,488,435,013,021,024,184,126,472,772,191,884,396,404,680,607,
630,304,188,592,050,457,784,693,597,660,213,268,510,603,421,972,938,882,903,
623,715,881,865,087,929,626,095,016,003,912,971,936,583,410,789,713,645,393,
820,760,092,015,168,440,784,883,746,505,704,935,695,246,830,407,520,300,451,
035,398,625,979,019,924,259,043,258,180,808,037,373,482,637,642,167,362,184,
533,665,687,547,340,688,091,615,100,155,591,602,425,032,622,467,483,694,295,
309,810,277,532,870,597,935,258,804,169,313,109,267,272,568,244,426,559,630,
535,404,238,857,357,930,871,691,455,684,601,612,515,272,003,121,269,743,537,
852,225,363,079,850,906,048,177,062,250,512,714,626,938,662,463,795,817,818,
768,937,312,182,563,546,481,712,882,183,448,850,887,327,010,912,060,804,867,
485,920,486,228,826,400,799,264,269,058,236,762,117,006,545,237,838,966,708,
412,438,051,284,690,496,110,339,269,306,343,526,022,135,503,441,883,415,612,
915,968,566,849,220,363,813,442,759,603,783,405,939,936,769,855,214,956,131,
704,635,307,599,695,237,769,261,934,718,026,986,824,509,352,796,833,730,774,
896,173,035,140,816,928,037,328,152,485,166,673,368,222,551,556,648,169,918,
483,345,595,765,982,669,746,148,961,175,988,769,167,126,746,012,151,920,310,
441,459,776,199,909,136,780,181,985,257,019,901,205,333,496,785,134,898,875,
456,513,478,525,924,355,113,601,464,935,205,118,859,610,186,404,815,092,873,
301,644,341,700,641,284,503,850,807,895,269,891,702,693,390,069,483,950,388,
599,540,075,398,296,280,902,452,725,591,882,044,435,529,181,143,134,983,059,
219,820,608,580,796,727,226,279,888,039,936,879,365,456,792,020,889,703,204,
328,435,723,700,666,193,654,742,055,498,340,347,694,106,502,031,615,027,713,
697,744,221,872,717,893,070,172,345,234,452,236,316,856,296,735,292,992,846,
419,895,042,652,845,714,869,904,262,104,864,184,442,694,865,814,642,783,891,
919,308,191,214,778,899,036,957,722,294,845,521,187,870,102,259,219,351,408,
415,023,151,626,075,659,932,137,296,165,391,826,635,754,599,800,373,171,715,
826,408,431,243,445,271,786,443,668,032,548,234,762,544,523,360,259,062,683,
464,081,572,189,528,226,278,958,885,332,201,358,167,149,817,069,508,676,439,
323,784,290,720,410,786,956,666,863,467,352,992,994,809,819,568,707,844,280,
445,096,286,409,119,857,315,338,540,714,620,787,669,009,600,292,305,750,767,
124,759,594,575,159,693,187,957,295,811,692,028,316,455,629,116,978,497,468,
338,910,639,663,561,673,950,243,929,021,339,081,202,602,642,929,666,781,850,
779,736,599,926,119,694,468,762,697,632,564,627,982,169,043,468,878,167,608,
272,058,089,522,074,044,611,654,124,995,982,582,221,493,327,878,960,703,153,
105,370,812,417,292,373,637,059,150,812,253,155,869,476,055,184,428,393,299,
540,369,137,445,665,688,260,434,622,013,423,898,693,601,819,438,308,945,641,
674,453,909,317,074,724,199,079,310,737,884,589,535,649,796,676,189,803,116,
359,403,090,756,474,202,702,446,692,448,256,445,275,368,946,215,822,115,012,
317,469,712,283,820,459,554,588,672,962,589,549,384,416,308,747,591,598,470,
831,569,154,776,185,834,281,802,719,936,093,191,790,226,573,741,257,435,858,
110,614,381,178,204,376,403,549,283,602,120,492,104,837,072,105,298,739,331,
506,380,899,661,057,050,860,322,817,058,198,772,072,591,143,775,417,793,277,
790,039,367,487,332,060,291,089,291,758,275,909,321,522,906,877,193,614,040,
246,820,663,203,235,185,133,768,848,835,417,628,578,267,972,194,326,176,996,
262,779,237,231,767,861,385,003,335,172,987,179,429,776,261,536,725,706,101,
997,705,507,794,498,620,029,683,605,664,180,979,116,002,036,625,356,735,822,
668,646,174,128,949,835,243,163,853,317,718,088,118,879,373,285,893,532,254,
133,547,456,304,048,744,200,046,482,070,732,524,857,285,446,704,409,530,826,
190,622,159,962,628,924,177,330,970,999,198,195,387,942,447,396,663,258,559,
625,172,571,942,560,628,112,950,333,078,266,984,444,805,251,301,242,143,229,
533,209,853,189,018,975,967,407,572,195,462,535,091,699,925,278,734,818,768,
243,044,689,325,351,849,396,056,885,044,090,296,694,387,139,194,053,736,884,
171,930,203,809,300,580,277,655,138,407,133,489,661,161,765,863,785,083,746,
217,141,420,743,289,194,845,727,035,335,751,064,705,454,066,040,394,054,359,
662,708,195,924,749,879,304,845,677,674,050,432,936,732,436,529,678,185,957,
336,545,670,817,626,931,592,875,135,823,460,747,136,249,271,386,762,335,562,
207,672,959,870,213,667,948,126,863,690,619,612,811,283,379,305,716,444,311,
226,169,041,450,230,580,289,876,176,441,851,020,496,048,203,197,496,648,430,
374,052,508,547,444,094,233,719,354,987,985,679,522,881,122,486,219,240,897,
166,455,849,472,366,765,147,995,239,309,081,370,387,279,097,932,837,355,493,
027,621,208,933,027,311,458,274,244,495,104,851,366,996,622,472,038,601,796,
293,193,469,102,813,954,757,004,937,122,191,346,294,358,570,587,570,735,616,
522,287,627,060,003,979,897,968,998,282,451,734,405,358,167,418,611,281,744,
953,485,483,818,718,051,893,059,710,372,035,675,845,494,637,285,914,008,434,
314,060,878,886,215,337,222,075,270,441,696,665,060,236,395,431,534,590,532,
377,024,167,228,471,094,830,296,278,459,285,430,498,838,369,045,561,140,045,
866,782,462,207,923,278,462,601,080,537,511,599,133,260,760,046,094,674,611,
154,602,663,626,886,303,836,787,689,607,649,939,360,437,582,326,066,805,264,
599,906,305,318,155,445,486,173,999,553,976,185,933,535,572,733,869,042,288,
417,980,495,019,174,101,616,141,763,347,842,579,366,456,573,912,056,978,585,
226,611,975,737,285,072,316,415,432,104,661,143,798,437,657,644,182,794,877,
991,695,040,375,927,683,963,309,555,077,785,767,494,088,052,747,011,799,312,
903,684,127,411,646,171,106,553,189,862,521,614,921,641,339,949,391,599,489,
813,638,699,032,390,268,247,686,836,355,341,347,694,815,730,666,872,512,063,
086,384,534,125,716,825,810,957,733,620,544,995,198,234,549,119,751,184,904,
875,401,790,350,667,311,932,751,756,305,687,120,055,760,224,667,452,414,676,
260,899,075,095,393,553,665,183,434,685,704,168,718,565,689,398,371,944,625,
437,400,106,247,954,480,151,339,597,662,228,005,864,726,745,187,219,599,948,
852,964,473,261,147,783,899,822,201,753,969,074,795,755,265,391,162,568,125,
297,483,190,674,478,035,039,321,002,693,779,267,379,739,631,449,373,397,434,
384,105,611,497,854,201,567,657,267,833,300,112,077,852,637,924,888,557,880,
736,093,183,737,103,230,073,976,673,920,517,311,697,078,733,471,120,470,829,
513,075,722,835,037,275,322,020,303,658,223,475,197,170,311,575,279,290,432,
454,237,168,843,939,719,104,361,879,890,327,413,838,004,247,703,060,752,952,
865,568,105,683,582,545,376,721,999,223,336,850,520,267,719,526,801,537,468,
393,826,706,464,113,959,357,009,345,361,179,555,619,621,626,386,887,334,211,
848,688,167,971,798,741,130,778,472,063,335,857,376,943,930,549,122,570,731,
267,891,117,361,240,744,013,119,988,050,854,730,651,930,132,347,614,070,847,
590,184,269,039,735,518,682,340,177,891,093,129,489,527,880,313,378,882,795,
268,645,395,734,719,244,032,800,825,741,733,163,418,188,472,861,614,964,959,
841,815,426,557,387,182,514,753,787,425,811,851,814,282,083,442,256,703,348,
865,923,505,803,916,713,050,475,889,632,330,349,070,676,202,242,285,326,566,
160,193,402,366,355,502,904,844,130,999,057,959,803,431,848,301,750,234,991,
866,321,679,231,403,205,385,533,103,316,701,380,955,598,611,978,682,868,586,
529,652,128,569,865,269,226,868,795,592,678,801,005,558,772,797,403,084,899,
292,575,679,940,017,981,904,228,213,638,406,852,159,515,193,565,191,020,230,
626,857,255,530,752,472,655,443,656,845,235,335,602,510,963,576,726,756,481,
377,789,651,248,921,158,459,778,660,973,750,350,009,793,158,056,864,132,933,
549,900,312,007,424,402,380,198,106,887,701,388,447,779,963,626,805,331,880,
441,884,650,909,319,780,812,826,443,399,137,927,109,356,230,248,799,688,077,
205,193,934,171,525,526,575,002,686,104,841,057,247,419,143,099,825,825,196,
603,330,710,137,054,434,016,036,312,596,424,805,238,746,985,539,681,729,352,
142,582,513,525,822,425,743,236,751,913,117,307,338,415,323,737,834,052,264,
928,173,267,487,420,904,177,250,589,349,084,322,055,061,142,671,765,403,299,
921,374,925,408,675,273,554,813,650,819,824,675,176,984,348,802,981,921,620,
313,306,698,259,556,662,319,340,121,696,363,772,208,638,254,195,329,362,847,
155,928,004,042,437,943,193,810,776,780,814,866,156,017,565,537,448,049,197,
876,209,219,427,275,049,802,034,074,389,896,432,114,967,243,825,715,684,453,
203,014,573,494,595,118,584,762,138,747,807,866,831,408,952,334,793,507,722,
978,080,332,637,453,631,965,541,852,499,488,879,566,199,326,761,066,426,992,
688,458,313,688,964,567,917,332,343,612,051,644,146,865,712,679,103,845,993,
344,931,863,147,727,548,388,035,101,919,698,543,064,922,647,741,569,681,537,
375,620,894,125,826,277,868,501,164,396,142,828,653,596,400,977,880,910,942,
811,663,619,058,177,590,980,282,841,657,468,560,915,529,478,002,338,286,079,
516,646,798,252,062,449,691,485,498,654,186,866,875,872,934,189,581,979,093,
425,632,009,636,097,639,303,529,536,629,062,118,372,875,217,696,425,523,619,
169,665,272,179,437,685,224,870,901,322,901,373,969,542,338,845,785,840,962,
868,646,882,955,558,901,490,669,338,910,784,051,041,722,017,070,650,603,035,
346,627,556,712,193,195,697,285,127,784,130,615,949,594,113,254,500,585,304,
952,520,124,156,723,747,967,034,221,904,490,776,161,070,637,957,779,167,920,
201,171,687,405,408,486,549,355,896,549,889,463,908,583,995,170,667,913,349,
389,076,868,673,254,780,110,737,257,057,035,484,013,621,437,903,018,784,697,
709,136,081,515,932,068,619,678,001,517,496,760,432,859,887,801,400,314,228,
345,777,721,625,979,254,406,642,758,104,435,299,786,574,939,486,781,475,132,
536,316,273,474,360,512,263,496,886,541,932,865,793,786,136,565,886,056,045,
231,618,963,606,690,611,047,330,316,831,106,168,140,944,254,285,574,782,436,
774,156,011,651,145,460,779,619,189,688,036,373,939,155,894,951,461,007,094,
502,586,296,189,662,432,268,074,829,077,415,025,256,489,589,328,965,849,056,
417,996,878,848,323,695,375,034,357,903,013,150,102,975,761,233,805,355,495,
907,808,395,842,549,335,109,486,183,667,911,556,900,721,958,536,525,531,412,
039,995,673,038,531,276,294,586,103,828,856,703,337,521,453,669,621,615,598,
803,433,884,168,654,481,845,946,350,584,268,394,505,581,767,339,098,419,978,
864,589,088,616,996,767,486,780,627,393,773,716,640,645,037,248,046,353,630,
522,378,091,095,729,706,079,626,942,615,810,838,470,803,759,743,865,308,850,
679,762,965,505,880,019,831,611,477,384,237,285,499,101,499,725,543,680,484,
578,692,840,310,181,486,811,043,597,535,407,626,410,180,581,990,037,215,647,
451,817,284,151,504,683,695,349,522,629,281,695,899,219,018,938,962,301,036,
069,112,001,204,620,527,414,658,580,909,630,552,014,314,441,366,040,642,143,
805,235,433,728,179,263,723,874,279,242,391,164,973,697,253,904,348,405,401,
647,365,242,772,828,256,975,548,674,349,424,433,364,641,856,674,016,990,880,
851,807,643,772,390,761,392,616,886,832,878,963,351,595,501,549,854,126,460,
636,077,288,017,615,993,095,194,286,391,548,614,344,302,783,594,756,653,304,
465,516,574,369,147,441,232,504,426,778,148,092,425,075,614,363,520,538,370,
883,119,749,889,340,063,028,072,695,427,160,335,819,667,487,360,623,448,029,
123,134,067,643,975,746,258,747,922,764,429,596,355,564,955,193,979,004,206,
166,555,292,365,010,800,774,727,966,707,800,872,386,100,860,253,320,100,513,
511,924,595,380,541,442,270,060,062,192,815,536,742,867,230,831,183,663,383,
178,021,341,053,539,552,258,656,784,836,130,650,901,104,895,945,768,158,539,
369,649,892,548,082,258,004,094,615,274,836,774,806,862,042,469,861,792,702,
098,537,237,134,085,730,684,032,694,034,192,221,974,996,223,204,459,307,193,
329,923,809,629,357,567,922,353,551,783,973,779,588,966,270,975,773,183,354,
215,377,780,304,939,383,697,614,591,321,379,417,313,340,265,291,352,183,467,
648,465,763,269,566,443,591,623,918,590,430,315,649,735,318,039,409,050,830,
568,730,366,709,244,462,491,965,551,980,168,758,425,911,738,342,466,279,502,
675,522,717,939,306,739,362,260,332,355,241,835,312,292,996,844,314,182,066,
368,230,873,711,938,218,343,750,963,185,295,223,713,498,131,789,308,445,451,
523,130,240,691,241,821,380,227,289,717,562,772,025,744,062,670,399,586,417,
329,983,715,719,156,495,475,219,578,880,573,376,504,857,546,794,481,497,870,
188,759,403,589,940,999,464,194,941,688,576,796,403,066,001,050,548,536,766,
390,776,145,699,261,165,723,592,484,970,644,329,904,968,179,972,782,377,900,
886,644,672,950,520,831,210,923,817,655,288,362,716,993,764,313,425,962,869,
703,281,016,943,209,918,157,063,105,337,819,698,704,126,457,264,252,443,551,
236,271,405,083,882,424,935,644,705,178,753,891,248,678,476,406,783,172,384,
362,336,098,040,304,270,269,067,218,604,843,787,463,801,148,235,870,833,185,
850,164,155,930,210,712,556,925,410,720,802,189,110,120,972,629,123,393,709,
183,592,780,377,607,982,796,193,818,038,738,161,221,792,438,924,994,110,648,
209,222,167,067,620,560,435,401,868,605,465,256,885,559,192,589,210,601,739,
490,602,979,301,652,926,299,809,273,855,147,086,328,883,433,207,419,405,266,
572,012,085,269,881,328,959,188,993,181,863,552,241,477,738,449,775,654,865,
504,322,330,208,447,275,282,730,659,338,876,951,187,424,968,493,025,918,229,
473,972,394,444,870,837,628,588,211,023,705,386,783,598,541,457,462,788,880,
979,469,884,253,374,743,253,252,069,235,985,634,519,267,565,555,897,468,087,
647,288,663,404,643,583,629,639,325,129,110,772,056,885,748,326,773,885,136,
866,524,132,896,379,562,311,103,580,629,111,950,351,790,626,851,878,199,351,
093,435,788,215,141,875,418,730,579,024,381,601,493,769,295,527,381,472,222,
897,354,534,092,702,957,762,898,893,781,770,422,702,965,540,655,370,483,983,
106,829,423,664,039,701,119,686,860,191,715,421,165,513,689,692,079,258,336,
860,737,925,770,505,259,767,830,657,293,482,215,697,804,872,043,415,008,581,
598,381,002,247,426,323,549,724,818,488,770,245,636,966,061,351,316,561,864,
126,915,040,271,172,914,935,439,532,987,216,863,639,869,638,448,921,120,049,
391,123,807,524,867,446,949,229,540,673,757,424,458,913,061,154,630,755,172,
449,064,592,936,438,440,414,372,075,858,736,151,100,753,898,483,688,681,600,
276,927,143,195,036,623,186,457,545,931,208,766,523,801,423,080,504,625,803,
378,317,887,173,499,731,770,374,562,142,511,638,910,037,103,562,615,532,908,
344,333,374,117,910,459,982,001,680,030,927,906,330,305,728,124,788,548,737,
879,981,318,042,320,968,369,448,796,143,294,403,589,270,507,413,959,406,291,
806,740,224,630,436,063,077,906,304,037,539,272,655,978,579,610,728,350,318,
826,704,951,214,112,229,012,519,076,598,610,455,522,429,611,634,137,558,630,
522,677,092,284,215,388,134,334,220,754,840,081,209,661,283,880,697,657,024,
233,711,613,699,032,363,387,631,315,720,972,936,800,476,308,346,929,067,964,
604,272,149,329,725,887,073,005,632,461,166,745,115,008,289,684,919,331,689,
871,827,523,780,283,953,201,423,940,006,047,411,623,437,319,985,282,683,320,
567,213,543,651,614,467,404,348,785,013,452,312,539,276,537,505,817,838,387,
885,979,417,294,876,634,142,406,802,457,681,540,743,683,090,538,083,772,674,
138,177,486,745,498,840,078,846,610,793,991,854,408,932,080,228,894,344,137,
245,415,023,276,722,668,074,977,879,388,371,551,571,038,997,118,976,515,874,
243,121,152,639,489,936,980,769,227,910,804,908,032,931,178,295,861,315,938,
475,458,394,018,969,386,852,035,863,181,603,289,655,897,347,665,148,007,135,
904,187,248,306,058,205,402,979,763,176,486,518,167,659,511,428,017,084,143,
866,404,567,009,070,112,133,268,802,962,830,645,225,044,374,052,359,915,862,
663,814,556,689,811,183,312,444,455,002,639,382,466,085,068,648,385,001,267,
231,814,446,018,867,859,522,861,954,749,032,007,701,878,031,832,440,776,062,
188,598,012,769,895,650,255,822,155,844,170,486,290,955,220,962,614,912,662,
008,940,961,058,992,000,824,339,284,160,834,706,803,261,702,107,573,627,672,
211,995,224,316,065,192,308,921,716,061,451,807,879,072,402,882,027,129,457,
616,574,650,703,391,744,634,247,730,622,065,227,967,374,879,843,893,738,352,
578,239,429,537,200,410,852,753,496,711,912,633,851,394,336,077,844,888,046,
806,068,557,693,155,531,679,677,928,215,923,296,297,611,435,081,854,685,620,
430,232,549,383,206,112,596,744,016,388,818,565,360,442,785,589,983,401,808,
823,562,007,847,321,902,324,191,161,115,552,092,376,028,585,791,859,565,081,
535,502,235,459,852,544,432,680,435,457,630,504,342,751,108,575,119,414,677,
066,578,101,503,252,850,026,557,146,568,669,534,176,860,360,998,568,485,186,
996,893,265,600,223,097,196,745,378,707,979,429,216,794,924,765,226,274,963,
839,741,232,782,208,540,245,790,552,552,719,691,838,741,998,852,177,355,100,
607,773,553,667,364,435,971,060,708,266,982,458,682,431,217,468,938,766,222,
642,398,099,804,743,375,804,413,769,774,356,584,231,418,321,530,373,451,719,
744,443,594,231,994,013,004,240,404,274,932,248,641,942,281,571,274,765,758,
661,314,652,161,194,932,618,783,570,018,951,015,456,680,538,466,072,983,686,
698,363,671,540,780,984,822,857,611,606,162,922,969,266,779,683,169,129,195,
068,522,916,168,567,891,420,299,984,495,943,776,939,197,290,294,716,169,736,
826,179,083,949,106,877,560,707,792,141,296,752,044,326,160,854,400,885,039,
897,685,944,193,598,439,023,968,272,693,666,117,739,934,264,664,436,766,411,
664,334,836,762,844,478,462,761,522,841,550,374,225,149,541,613,708,641,247,
050,720,892,504,772,373,211,524,828,048,632,823,503,573,384,414,870,652,296,
072,144,300,614,086,521,371,761,257,951,240,313,658,567,932,573,956,882,163,
475,901,711,892,807,576,204,738,360,185,490,333,229,473,969,445,931,018,348,
061,809,538,252,472,003,285,134,261,717,621,546,260,654,955,677,916,530,901,
415,857,273,591,767,682,714,074,461,526,837,968,818,001,827,210,466,107,821,
486,753,459,023,143,228,998,118,956,263,848,172,116,240,702,543,186,952,724,
271,393,608,163,002,530,809,131,635,313,486,934,714,330,331,484,086,617,673,
764,823,815,731,625,587,246,235,009,460,361,509,540,550,509,093,386,887,375,
896,333,238,476,170,027,043,215,988,416,928,084,608,276,619,289,107,017,788,
478,139,382,268,581,443,619,393,401,174,513,404,289,807,505,041,578,590,160,
635,244,837,807,373,896,824,727,527,837,750,623,220,105,686,543,659,976,580,
252,390,105,601,247,834,929,373,647,788,594,056,535,525,437,465,616,861,699,
561,611,779,663,225,005,120,727,858,515,150,846,228,450,176,136,190,814,097,
843,559,612,590,880,765,549,312,248,371,769,509,165,911,962,538,084,164,570,
348,735,137,812,844,906,568,099,427,164,118,214,638,038,412,231,521,683,754,
402,391,248,290,307,507,842,000,837,972,549,551,839,897,248,879,336,921,029,
737,511,334,609,320,330,819,373,534,306,028,384,670,321,847,045,542,897,147,
659,478,458,247,969,844,957,284,611,873,878,154,177,697,274,422,489,478,719,
721,580,078,520,655,963,693,955,908,571,304,163,896,223,722,352,449,273,606,
813,194,389,442,451,557,383,660,092,135,654,410,328,544,547,708,104,195,625,
124,192,018,942,789,279,094,958,261,398,376,882,707,786,622,745,340,358,793,
803,582,876,469,788,686,523,254,849,323,568,948,565,474,283,295,047,087,525,
886,202,309,590,498,085,025,329,710,784,809,674,845,272,073,812,599,341,885,
706,928,633,863,467,713,621,132,298,107,451,135,377,442,370,130,196,238,879,
859,000,446,735,751,689,700,050,528,982,500,873,614,335,224,543,510,166,117,
007,488,047,942,042,986,208,790,466,443,730,567,146,373,806,780,439,970,508,
416,443,694,223,511,300,040,349,303,997,770,595,425,017,990,753,042,120,297,
803,189,115,910,232,061,721,538,963,601,190,861,313,192,005,354,618,177,463,
722,234,933,167,506,238,018,923,862,428,679,887,023,312,328,462,075,795,860,
005,017,600,108,655,764,965,299,237,079,212,856,604,753,114,289,441,399,971,
806,671,999,643,208,828,982,248,736,436,856,424,602,361,530,334,687,088,285,
333,239,852,254,902,574,597,903,826,263,213,591,838,667,505,355,542,616,470,
007,876,169,346,393,890,496,010,796,509,684,122,440,664,387,145,003,858,294,
580,436,751,269,934,787,569,229,092,243,199,421,958,935,989,064,178,821,434,
722,692,412,225,886,871,801,730,443,070,839,765,504,250,336,681,636,382,695,
094,590,636,818,872,050,573,789,481,749,649,129,474,039,737,846,993,360,893,
099,462,537,791,252,726,759,570,763,363,271,668,866,734,573,595,280,698,698,
266,123,337,750,391,167,164,101,460,083,212,705,353,241,697,148,486,774,660,
887,140,219,257,367,467,103,582,640,829,835,265,135,557,820,574,997,447,767,
676,683,828,547,797,848,541,139,226,384,027,481,201,902,946,318,276,030,249,
491,671,888,307,464,453,883,396,021,828,394,886,966,714,475,688,513,938,379,
635,299,218,796,625,762,654,649,570,854,965,165,228,520,948,591,684,048,072,
361,147,486,157,265,990,025,988,780,705,535,627,368,588,214,929,272,200,664,
050,640,516,875,303,827,164,139,443,541,464,577,423,504,046,203,153,197,475,
949,857,872,683,116,682,453,263,221,736,704,408,840,194,289,260,043,147,049,
952,095,149,839,172,265,594,285,518,005,397,774,722,829,703,347,125,927,218,
139,929,794,732,358,332,026,786,304,798,047,057,969,002,790,886,280,956,659,
304,951,099,566,185,209,388,064,124,969,282,031,730,927,957,466,757,922,894,
519,017,025,689,802,951,547,240,734,259,525,259,813,707,878,879,895,550,050,
881,517,601,309,844,350,419,095,456,166,434,252,792,134,962,316,092,407,953,
771,129,523,774,744,351,919,072,936,162,693,263,339,346,404,651,613,847,265,
830,822,095,456,502,299,025,127,501,293,875,246,338,831,152,352,511,301,782,
690,166,967,906,788,817,802,953,219,717,152,573,057,746,863,869,719,797,339,
638,132,505,475,634,780,634,003,821,401,804,914,009,209,191,305,932,553,977,
753,071,119,345,810,804,763,158,702,177,984,995,989,608,545,862,434,639,860,
082,574,355,631,000,852,487,751,785,870,698,421,665,123,156,086,834,066,981,
301,875,511,778,844,570,167,666,611,248,854,353,597,407,813,376,689,780,381,
195,092,934,920,550,120,611,732,604,914,704,751,989,713,842,168,929,761,308,
298,590,323,265,542,504,721,749,263,396,577,857,084,077,444,815,248,392,713,
665,772,081,243,646,211,365,054,910,898,148,316,098,703,420,582,924,673,709,
841,589,800,527,683,991,465,519,982,632,411,516,870,739,785,336,011,131,208,
004,098,765,694,677,203,264,370,110,390,278,641,566,125,964,652,062,301,368,
066,980,212,570,229,942,847,012,405,432,829,938,944,239,320,552,344,856,185,
469,099,115,874,313,566,761,970,270,505,551,990,135,755,203,285,718,060,289,
491,018,808,961,556,023,849,307,249,148,699,680,841,449,121,753,424,166,551,
085,489,498,559,259,438,770,380,749,260,466,854,080,288,430,997,178,629,487,
408,136,243,614,506,114,291,357,997,264,391,134,732,158,313,738,473,726,979,
305,746,764,005,935,566,949,974,159,274,942,147,942,830,843,120,449,941,583,
270,123,555,124,403,266,543,493,905,823,021,782,172,921,635,751,462,374,919,
341,701,193,865,170,151,781,166,347,934,100,895,827,269,613,100,800,746,534,
210,466,051,177,686,932,823,876,963,885,996,962,386,216,485,108,179,963,955,
968,277,733,686,990,594,361,474,403,998,858,616,822,247,736,140,101,026,819,
139,488,018,485,597,241,585,757,879,829,964,141,306,401,791,029,472,329,132,
374,764,343,099,372,728,020,330,771,104,484,718,055,583,778,713,769,756,763,
563,546,139,754,348,834,097,253,431,880,764,228,273,209,946,248,394,628,034,
389,150,447,113,471,619,109,678,868,148,013,082,334,743,738,268,567,110,257,
020,763,600,581,388,282,113,403,246,360,211,863,618,035,912,308,554,667,378,
950,249,262,947,385,600,852,900,084,206,307,532,112,122,401,036,657,270,682,
524,012,768,181,151,173,876,146,053,750,243,749,097,324,835,746,936,770,126,
514,212,373,969,235,849,168,714,427,055,317,694,647,205,295,123,166,035,029,
119,246,752,988,902,060,525,629,149,250,968,407,426,072,744,842,005,660,957,
331,614,544,785,802,344,146,755,239,138,068,056,928,274,224,216,480,374,008,
252,295,052,266,543,913,137,171,367,841,944,853,178,020,800,452,425,252,994,
499,397,746,252,589,553,707,707,718,513,621,297,395,614,244,362,325,873,045,
538,308,677,632,599,389,882,896,477,852,020,710,304,196,961,826,489,869,020,
151,035,807,350,233,278,314,817,293,375,046,856,965,449,559,994,929,971,658,
683,817,520,967,369,038,240,154,101,624,218,128,584,507,384,370,259,711,685,
770,292,914,270,843,189,121,117,866,713,414,135,100,238,382,219,335,294,304,
689,356,886,612,915,664,887,724,340,260,035,027,580,526,394,119,647,573,819,
518,813,871,421,233,236,683,390,963,142,345,342,577,548,506,891,285,115,712,
369,904,798,578,156,233,145,723,693,295,916,604,039,525,965,338,319,486,882,
143,560,329,792,733,861,667,773,813,238,367,403,310,117,838,394,439,039,430,
589,231,248,098,790,767,543,331,572,945,612,928,543,441,618,149,184,464,675,
939,395,155,210,847,576,385,330,229,183,767,831,880,444,323,440,909,684,939,
828,838,467,072,144,478,816,959,768,399,046,763,681,399,512,294,730,517,500,
000,312,824,450,359,800,950,316,046,372,943,462,258,463,694,919,335,531,157,
423,633,065,943,386,516,212,984,174,089,752,843,594,068,747,826,953,207,403,
089,764,714,929,605,884,049,048,741,311,306,822,864,281,272,395,575,512,549,
998,469,204,888,036,416,982,599,727,698,936,596,374,081,315,366,303,318,212,
051,421,696,602,634,105,863,907,372,334,147,649,821,082,887,758,672,400,052,
635,687,756,686,656,597,911,114,458,300,003,432,980,241,565,890,765,518,843,
124,804,256,506,729,021,784,137,425,730,507,867,145,630,247,871,364,203,577,
853,869,244,037,399,998,138,108,283,790,065,129,010,422,957,492,478,979,275,
439,655,730,766,664,377,994,598,187,048,991,708,317,887,772,291,286,977,104,
612,713,019,150,027,130,705,447,047,241,651,681,884,723,167,581,747,207,433,
286,763,850,796,369,019,132,584,801,082,263,494,828,451,966,813,814,328,467,
279,381,581,400,755,488,085,969,944,965,788,344,950,621,522,985,671,651,682,
666,957,977,672,355,282,239,658,979,391,935,060,976,316,549,295,440,017,864,
503,178,294,870,611,623,442,143,078,379,148,461,042,581,641,773,448,531,631,
163,730,958,230,621,476,012,649,851,837,879,433,706,447,342,403,644,228,375,
638,036,203,808,299,164,375,149,423,424,141,501,924,114,908,086,750,395,690,
066,280,391,233,890,328,944,917,796,584,653,206,683,643,936,743,254,620,274,
900,393,154,017,926,409,564,185,961,920,173,519,512,521,436,894,675,968,741,
415,583,462,280,395,231,769,458,561,517,564,080,726,504,628,888,294,089,894,
854,253,326,259,043,711,082,340,413,199,197,387,032,308,920,357,221,984,531,
816,774,821,084,404,011,193,226,719,806,513,230,557,176,131,279,211,190,488,
896,093,440,983,282,648,611,489,648,146,670,080,492,679,987,356,562,858,771,
513,862,146,489,459,143,222,528,256,799,737,244,676,837,025,429,961,086,987,
706,990,014,608,054,911,682,405,253,369,460,926,043,754,663,011,904,219,561,
470,118,859,769,147,122,162,944,448,161,136,736,020,856,930,235,217,996,506,
488,534,287,269,683,778,495,896,270,316,715,165,240,323,866,626,255,967,854,
025,260,614,775,430,079,315,451,479,196,217,643,135,901,930,609,528,377,085,
827,777,343,283,790,151,696,292,121,393,691,608,963,934,275,611,031,186,255,
719,515,633,816,622,002,254,227,910,193,239,548,182,395,567,743,180,413,922,
136,452,278,585,585,521,448,863,235,616,668,988,124,588,549,651,681,797,928,
800,334,866,236,319,238,140,167,061,435,353,407,598,913,819,852,511,837,563,
178,123,480,137,287,512,163,920,485,619,990,550,184,247,306,686,930,540,053,
776,453,115,106,808,080,601,040,625,378,151,449,533,035,093,324,288,449,925,
110,579,026,720,763,198,274,107,297,078,697,641,105,044,004,941,031,581,738,
120,747,927,801,692,061,146,222,496,001,407,750,966,319,889,068,671,416,538,
766,505,707,223,899,569,694,353,907,337,120,229,722,396,279,113,443,397,972,
582,209,985,551,521,554,075,079,947,759,388,247,583,698,443,868,158,565,846,
559,821,582,226,163,058,813,674,201,832,825,758,852,122,340,280,855,592,594,
906,454,774,053,900,466,975,468,170,920,599,183,628,152,451,611,992,261,133,
567,695,606,408,132,322,052,381,027,827,541,537,388,201,957,503,303,972,916,
421,160,735,650,458,318,981,829,493,136,415,316,679,216,372,259,996,435,418,
993,471,985,829,326,289,564,571,090,907,329,209,709,738,953,996,960,587,054,
403,514,689,004,190,660,878,132,184,211,367,457,319,154,647,574,027,390,433,
108,755,058,913,513,986,637,743,209,616,140,219,878,696,992,546,266,314,881,
816,845,121,835,701,283,543,347,886,086,554,511,326,936,093,165,512,905,635,
012,197,800,566,277,972,310,306,206,036,338,775,436,450,536,595,787,143,038,
908,663,095,956,240,021,870,123,712,539,112,546,037,586,828,498,006,931,187,
076,928,513,155,317,314,732,848,117,919,566,086,503,955,120,489,122,098,368,
586,607,533,741,686,831,171,600,133,598,909,489,068,084,792,244,704,014,734,
616,247,269,538,863,996,893,243,088,573,526,435,555,224,249,974,722,111,175,
560,842,423,345,707,797,103,930,357,424,906,506,602,235,108,797,380,369,339,
203,668,643,072,915,742,774,589,771,741,245,014,490,191,244,614,339,863,603,
169,514,011,746,700,858,777,837,826,965,541,357,992,800,526,520,059,193,848,
443,507,242,412,522,585,196,866,903,423,270,595,394,560,827,297,968,359,225,
061,302,496,080,636,025,577,073,873,523,088,197,769,579,287,119,283,671,451,
710,939,943,246,344,000,580,057,262,787,407,944,852,088,216,602,865,977,264,
305,682,630,305,974,490,220,537,024,708,275,673,363,368,343,319,314,895,877,
741,276,891,046,113,956,318,920,585,457,908,391,668,115,930,648,524,450,478,
109,138,980,091,580,716,172,689,331,551,926,569,715,381,408,069,621,961,833,
700,907,480,008,493,622,057,191,065,082,887,975,135,244,061,522,275,313,656,
806,777,955,515,481,149,795,437,332,091,529,975,030,743,269,376,780,843,317,
041,829,608,018,417,414,088,593,358,088,731,520,891,703,949,442,104,701,659,
457,974,430,560,976,999,937,963,797,038,301,205,925,642,007,434,983,441,680,
593,965,023,401,458,825,388,331,534,766,519,826,214,785,840,266,514,705,032,
079,261,401,297,267,998,067,010,729,220,017,285,269,341,036,695,079,973,896,
662,480,919,363,899,325,289,666,526,019,373,661,720,985,573,219,048,148,805,
604,264,566,428,031,983,924,589,615,385,665,881,579,862,387,241,433,318,421,
058,859,445,516,047,683,635,114,371,377,051,602,807,593,399,790,763,752,395,
514,875,096,025,315,502,908,094,033,254,246,263,013,507,184,153,671,581,501,
324,863,434,823,270,578,983,236,904,264,107,688,698,311,028,272,065,271,593,
095,193,625,923,065,525,317,115,565,247,319,767,872,728,471,647,389,371,852,
924,352,735,362,219,815,990,345,357,285,774,426,306,342,091,058,185,813,573,
833,505,981,081,974,771,762,009,104,910,494,739,182,216,378,937,917,430,808,
019,477,757,889,913,065,168,440,729,693,759,438,944,040,932,016,675,864,922,
559,683,382,092,077,794,498,521,828,539,514,545,846,906,190,012,723,888,830,
917,944,501,037,677,162,905,522,323,636,080,396,435,735,777,053,580,019,783,
074,592,892,491,170,293,686,479,638,541,422,628,772,267,196,856,806,248,904,
784,359,270,655,525,528,209,126,108,838,892,261,995,156,052,818,118,842,310,
958,731,242,181,785,549,491,166,287,832,884,744,944,039,910,817,884,614,744,
284,864,067,506,564,214,010,942,236,606,982,379,074,027,131,619,734,256,093,
056,472,802,837,778,959,367,783,317,240,190,216,974,441,785,515,064,383,397,
211,819,752,616,324,438,486,292,087,495,257,062,608,933,975,266,462,727,555,
409,551,220,984,536,121,442,751,994,200,071,237,186,157,268,383,837,101,673,
584,137,554,315,157,976,988,474,547,430,773,436,689,213,291,710,667,374,116,
706,673,936,300,564,393,797,915,693,759,118,025,409,831,732,847,248,796,095,
118,454,312,935,814,117,005,277,124,604,549,667,783,886,019,745,433,864,013,
934,559,151,745,700,060,494,568,177,335,860,916,218,052,620,178,588,265,549,
858,512,798,428,231,107,721,214,023,792,499,279,712,546,132,438,129,035,889,
971,709,745,183,972,806,119,199,338,679,332,976,275,876,814,615,553,203,955,
952,123,424,367,231,618,305,221,356,386,077,725,481,088,865,248,232,711,474,
790,001,580,324,519,968,318,285,886,695,654,691,884,934,189,438,041,936,945,
161,262,392,035,054,373,805,434,246,672,550,282,710,800,856,997,061,600,404,
465,828,938,450,936,925,312,317,446,043,907,509,285,297,963,655,760,763,303,
615,315,660,946,100,692,751,865,816,561,262,592,082,694,649,115,059,986,391,
350,405,246,952,713,346,874,810,349,843,556,266,704,868,723,349,611,822,474,
696,516,940,309,608,222,328,622,500,204,783,341,597,991,764,732,271,454,513,
773,990,600,345,477,282,574,824,753,333,488,510,977,649,399,049,186,850,876,
096,326,775,819,081,616,887,399,354,404,422,744,645,712,196,650,884,463,010,
861,590,140,445,005,300,652,535,030,859,435,741,366,375,795,559,925,230,675,
157,644,148,547,991,227,471,620,198,875,659,441,950,825,937,063,908,523,227,
997,986,682,549,641,333,736,786,370,214,026,423,304,886,839,066,180,543,787,
527,640,914,370,895,083,064,390,648,589,445,588,164,073,313,087,432,043,095,
786,583,684,159,780,776,108,223,214,550,883,296,023,071,561,826,663,668,753,
974,944,973,534,458,526,176,151,742,320,697,288,473,648,035,967,236,651,877,
585,175,149,392,932,705,733,233,712,736,609,720,606,760,631,131,246,247,708,
527,724,493,314,717,093,895,875,024,783,385,486,837,712,896,095,889,014,488,
405,546,340,450,689,343,146,036,712,335,498,654,874,580,264,844,528,113,041,
485,462,714,849,954,466,527,317,185,089,311,087,931,486,641,454,106,803,199,
807,098,951,308,285,302,979,721,229,950,381,636,775,135,255,087,262,225,757,
925,030,640,233,434,191,794,446,251,056,586,335,573,084,696,388,794,586,885,
310,569,452,213,720,741,978,857,152,281,911,516,332,665,136,053,900,771,985,
056,191,783,089,815,737,829,748,875,145,931,267,212,951,908,262,732,558,320,
326,706,116,204,410,367,927,888,556,544,588,027,960,208,615,342,676,211,059,
757,573,984,706,381,912,451,112,487,607,523,620,489,794,347,113,051,066,092,
172,912,344,080,939,608,665,122,894,185,284,189,512,105,721,453,527,182,657,
400,980,951,198,924,989,444,432,566,949,511,561,941,281,796,086,334,409,191,
008,786,708,802,721,981,899,535,758,366,159,576,451,128,540,763,997,918,371,
279,559,781,684,825,191,930,244,074,856,996,226,218,214,913,196,418,306,662,
538,316,955,619,412,212,519,139,385,192,707,946,518,766,681,341,006,956,053,
013,483,619,130,125,835,866,667,455,480,378,015,996,484,670,700,523,738,466,
298,524,642,686,643,458,988,248,342,097,865,291,946,213,616,510,338,390,859,
401,138,947,373,727,704,205,392,241,429,480,372,868,861,067,735,305,279,567,
563,793,074,284,858,421,213,741,034,594,094,314,183,599,812,418,521,898,236,
079,000,930,265,537,359,534,826,116,196,540,300,720,249,384,982,753,241,182,
042,819,961,996,373,318,608,925,994,766,553,844,648,338,313,383,435,992,586,
438,170,125,249,772,972,000,604,490,700,353,967,444,496,094,790,890,767,316,
862,620,367,742,341,474,383,998,879,772,021,914,406,670,464,923,516,772,930,
695,028,564,390,472,088,062,126,782,901,084,687,973,325,769,041,035,493,950,
148,733,202,279,507,572,057,452,624,087,844,702,751,152,203,337,145,559,858,
449,541,070,252,095,610,431,800,067,446,759,923,588,218,388,080,471,308,469,
930,966,141,820,445,276,313,696,797,512,179,712,968,580,974,476,921,042,073,
222,529,251,707,951,707,668,545,869,850,705,481,885,331,233,593,339,027,788,
240,082,504,260,620,044,336,903,055,812,842,705,628,595,021,481,826,484,618,
325,435,843,350,664,717,787,770,228,718,079,703,839,355,318,346,365,795,088,
688,531,935,574,404,077,674,878,756,714,819,136,970,341,450,490,968,215,728,
002,877,905,279,588,687,935,765,371,172,575,480,567,200,718,606,382,926,485,
889,350,559,897,685,876,563,217,268,719,224,977,586,270,772,546,335,722,265,
756,555,613,561,748,927,763,252,739,780,968,002,156,666,077,996,070,344,484,
957,146,654,482,257,053,101,855,693,265,031,289,940,970,557,230,316,397,207,
774,467,493,654,791,075,540,792,469,424,514,972,856,954,365,896,522,923,062,
892,846,511,439,460,588,601,105,028,816,990,919,217,107,458,737,969,727,049,
391,070,305,293,955,997,138,083,417,908,153,383,420,299,016,331,608,941,472,
043,282,436,972,513,210,195,474,293,497,815,896,334,858,893,518,564,182,592,
100,087,776,886,154,749,021,306,838,970,717,740,662,321,529,905,661,592,337,
225,824,305,606,890,660,594,234,118,151,818,929,995,638,608,287,775,514,049,
219,831,154,283,986,381,722,028,603,548,408,049,314,438,299,416,422,766,907,
096,226,322,124,420,757,964,690,515,061,275,584,610,264,622,540,413,781,897,
473,561,548,012,938,358,815,295,671,775,200,000,229,687,607,747,914,215,203,
393,480,635,349,792,807,702,318,289,423,338,363,772,991,199,183,936,938,516,
574,538,344,571,475,659,842,229,847,664,727,891,131,985,694,416,697,060,839,
332,209,412,116,718,018,512,267,387,310,824,813,767,450,975,720,498,852,073,
521,249,808,424,382,229,104,186,286,291,011,632,747,340,982,619,935,131,074,
838,457,600,532,105,515,274,495,095,331,298,234,090,943,231,903,456,810,843,
657,825,637,766,268,630,113,055,353,442,436,917,626,934,785,578,788,880,431,
258,702,844,318,875,477,709,532,309,328,585,856,167,607,971,507,083,659,260,
494,073,140,558,861,683,039,136,102,452,051,371,750,772,898,311,325,576,893,
092,698,925,709,474,792,368,092,332,655,757,761,671,698,212,749,742,826,652,
139,799,123,740,668,557,463,330,857,316,283,041,862,151,332,445,644,250,668,
919,050,513,840,777,764,833,492,237,141,859,569,719,942,619,540,939,131,807,
498,135,723,315,415,341,538,502,812,752,790,590,038,133,413,236,151,841,155,
808,387,809,005,233,246,321,660,942,480,612,947,493,221,201,800,119,494,290,
953,111,090,838,546,215,340,947,357,813,153,349,307,061,541,208,749,488,429,
709,852,629,927,294,092,882,783,571,479,546,520,516,920,411,748,947,712,774,
522,359,542,841,495,727,121,429,218,324,336,983,786,800,705,564,360,628,173,
799,665,713,455,468,938,174,642,520,167,611,679,323,451,005,176,720,013,402,
880,545,728,555,656,635,915,018,848,695,062,050,201,205,455,308,355,556,355,
087,100,665,983,143,235,893,864,737,700,240,593,827,905,661,214,254,829,466,
077,963,142,762,334,602,687,891,923,443,146,188,190,652,285,473,026,582,882,
185,418,807,920,316,208,123,908,397,986,713,643,650,270,688,409,482,822,344,
637,083,901,620,207,186,555,518,297,443,505,620,764,823,790,506,024,450,242,
014,116,448,289,163,928,971,136,850,820,301,953,207,263,313,815,097,750,071,
268,657,496,378,778,180,774,603,815,490,774,970,334,894,285,319,099,543,781,
636,284,613,157,843,334,004,913,554,556,044,808,068,669,028,863,876,670,964,
295,644,272,884,859,978,597,599,371,477,701,869,622,268,432,819,253,005,335,
026,501,209,865,862,730,360,091,364,844,847,975,477,107,315,309,835,487,848,
106,552,135,052,318,789,264,115,584,624,499,497,967,623,670,356,704,532,575,
218,284,548,688,734,228,845,492,360,216,619,680,687,424,242,628,621,906,544,
073,887,961,850,866,546,729,250,536,040,111,939,328,288,340,966,183,244,436,
380,801,019,904,920,735,499,457,420,659,623,460,825,480,797,655,224,145,912,
954,803,233,426,131,180,159,481,732,750,999,897,630,269,381,793,409,990,135,
477,805,621,899,762,965,901,245,384,119,217,849,281,597,657,099,655,559,898,
717,667,432,255,419,452,895,664,882,430,867,407,547,459,355,774,523,283,901,
438,709,432,872,949,102,217,656,641,035,704,334,716,835,739,773,173,090,806,
427,503,675,394,372,989,088,175,220,970,031,508,732,903,526,788,633,343,587,
140,862,124,479,252,469,981,539,197,042,742,569,696,053,658,061,027,746,709,
577,700,472,763,815,810,359,006,833,440,861,314,354,277,237,899,359,006,508,
843,105,563,581,624,123,999,221,598,537,029,808,730,988,431,486,702,177,715,
707,990,947,685,773,917,977,685,859,621,499,952,920,611,522,290,692,821,282,
641,130,967,790,458,243,541,833,902,706,488,683,418,060,648,525,250,569,057,
316,581,446,640,838,447,251,299,463,654,492,597,500,653,803,546,560,811,625,
263,245,467,053,604,056,613,945,771,481,674,595,262,615,201,530,470,311,035,
424,274,499,998,978,925,543,949,571,381,478,225,383,068,033,920,950,033,858,
419,280,548,385,899,636,626,720,715,074,367,470,854,696,472,867,030,912,180,
657,891,513,792,639,033,406,466,184,602,264,001,693,315,063,319,147,899,440,
163,140,878,671,202,102,905,869,947,418,590,646,023,472,220,093,858,395,192,
586,283,630,978,143,149,959,188,585,052,963,326,231,367,410,041,289,242,041,
125,004,364,483,014,419,967,311,543,607,847,217,385,338,390,779,556,583,637,
037,820,329,196,649,245,615,781,754,147,125,392,436,602,281,718,913,230,552,
514,158,515,969,206,148,419,947,329,539,773,700,562,739,193,875,520,647,059,
994,954,340,223,589,251,239,459,561,755,280,184,994,782,785,562,433,557,155,
784,848,985,603,734,688,448,667,747,362,303,058,373,546,101,034,038,422,129,
305,465,859,323,595,597,667,358,764,479,469,673,869,120,710,178,350,093,086,
409,397,815,672,265,607,466,526,751,329,826,486,150,464,935,449,633,374,324,
096,919,127,259,968,771,020,101,631,526,331,196,740,641,297,672,323,480,985,
912,393,548,420,985,861,911,328,099,088,181,059,284,708,913,469,302,223,353,
007,942,619,488,312,569,976,108,502,834,521,369,667,257,225,347,675,763,075,
226,009,940,730,165,845,332,465,253,008,928,360,592,494,625,788,955,874,890,
822,302,761,760,604,852,523,453,915,445,973,117,257,331,728,149,522,303,988,
354,131,640,399,099,639,474,858,385,022,854,432,997,754,575,766,733,212,122,
427,362,130,705,288,628,473,502,892,087,629,505,588,317,499,970,138,969,324,
169,650,234,938,176,933,712,623,554,850,455,804,680,266,521,962,287,024,716,
726,532,109,904,854,087,300,015,140,721,870,820,457,244,973,289,546,720,858,
549,295,471,317,671,503,353,477,238,668,579,366,422,281,578,286,394,453,001,
509,764,816,943,513,460,264,068,119,249,019,234,542,302,176,452,869,705,783,
564,299,526,545,009,845,606,019,201,166,229,051,906,795,512,503,675,188,029,
117,113,734,354,302,830,379,834,379,947,124,818,141,153,165,011,699,039,163,
882,429,758,894,040,009,033,953,986,428,301,545,722,375,207,945,449,208,522,
390,613,018,815,176,279,147,151,658,552,216,509,276,993,880,421,904,620,675,
856,006,009,269,497,655,223,789,800,109,403,003,294,848,826,022,802,529,962,
206,726,906,684,262,654,814,614,856,110,102,132,850,793,591,716,408,339,295,
283,430,263,630,358,873,428,325,398,187,861,119,452,722,298,858,345,637,944,
303,137,171,253,522,141,588,110,250,468,193,796,347,107,801,817,296,160,807,
279,824,267,777,978,505,805,555,261,440,303,602,200,858,178,991,779,189,989,
043,947,876,148,800,544,086,129,804,029,903,296,699,177,226,778,273,772,147,
852,535,591,105,320,466,432,243,871,838,140,829,836,006,177,740,163,109,067,
361,751,379,956,291,763,929,064,471,311,129,096,300,871,053,200,046,526,615,
525,974,670,333,235,189,981,939,343,088,828,949,513,181,597,695,156,710,136,
763,795,590,381,305,861,165,842,811,274,646,767,529,072,042,141,607,391,220,
362,901,195,171,992,864,564,634,953,653,434,740,401,431,714,483,113,736,696,
125,183,676,815,629,105,692,814,669,170,644,778,720,867,329,606,490,792,961,
949,432,349,471,381,220,257,458,653,704,708,060,501,157,777,425,265,375,994,
023,168,149,221,014,932,157,128,554,631,571,723,923,423,351,873,615,428,901,
658,829,673,783,442,100,846,388,155,680,437,518,214,286,419,548,671,727,439,
966,854,143,568,067,332,730,068,412,172,910,206,488,814,175,105,776,459,716,
561,892,622,959,371,326,314,614,725,608,429,428,835,088,950,408,705,042,724,
911,641,198,018,591,399,916,854,407,766,700,433,529,271,835,751,060,224,628,
138,074,049,327,065,443,077,604,135,365,242,647,349,727,326,674,219,095,070,
359,469,074,423,326,483,540,399,438,809,467,086,632,437,920,686,476,339,101,
875,863,779,911,625,205,148,123,365,256,912,762,208,846,838,931,569,385,931,
146,011,590,536,881,376,386,031,305,694,258,492,200,325,436,165,117,131,913,
013,591,575,608,160,527,816,758,804,649,003,318,186,069,704,735,054,890,631,
735,678,539,294,358,882,893,946,418,501,380,320,511,949,050,152,044,223,048,
899,721,878,331,443,246,356,788,728,733,912,616,334,224,883,505,677,708,453,
275,345,472,984,102,747,407,599,698,484,125,244,176,008,922,576,320,504,313,
143,782,159,017,480,562,439,381,537,127,107,972,794,666,869,320,668,509,658,
065,937,081,328,022,986,841,276,118,809,386,132,046,401,537,361,824,103,920,
408,466,482,284,831,267,071,264,194,215,918,867,322,084,568,837,923,970,133,
481,270,106,893,278,208,276,811,423,403,880,766,396,707,978,553,101,987,214,
096,266,208,653,301,942,324,714,700,005,167,220,263,319,177,654,349,459,914,
535,121,774,594,079,253,651,346,659,631,265,640,907,288,605,593,450,942,474,
624,844,519,529,150,938,423,868,778,029,696,809,205,155,143,166,830,292,442,
608,040,057,051,648,325,455,874,451,199,253,937,420,718,704,106,021,231,052,
443,127,641,298,817,634,995,933,907,122,746,145,171,068,681,052,743,548,423,
861,859,314,216,834,754,508,919,300,967,587,841,630,849,168,691,371,548,174,
834,924,336,463,141,863,789,561,949,906,371,981,597,139,929,434,476,823,375,
581,132,076,163,455,282,850,307,272,265,801,388,570,771,446,520,084,768,658,
474,461,356,280,934,547,332,238,876,293,638,938,792,979,280,627,461,650,748,
527,100,240,743,574,707,569,755,050,400,978,759,885,369,966,242,456,478,890,
696,373,291,525,340,237,190,897,841,162,748,906,831,098,457,787,578,615,405,
634,434,868,992,582,896,305,872,831,742,071,948,292,587,148,726,697,871,265,
761,601,697,055,479,010,885,430,082,418,919,804,567,074,969,384,010,945,812,
890,743,185,396,067,262,933,212,709,677,777,349,180,586,239,125,285,264,682,
814,883,235,794,965,048,377,348,018,192,349,045,104,623,853,252,333,548,091,
567,555,554,375,806,342,979,250,000,249,756,111,290,904,391,115,900,518,103,
056,948,649,196,242,756,300,402,911,596,316,436,126,611,995,831,115,887,540,
335,041,722,057,562,035,055,424,701,512,255,592,032,317,391,649,500,210,389,
021,178,114,021,790,884,090,680,455,295,570,028,692,571,296,927,187,365,996,
295,962,269,991,454,894,742,027,588,616,070,778,645,823,505,677,527,222,627,
837,952,503,268,964,408,710,495,800,361,214,872,493,032,857,547,586,927,988,
699,719,713,227,545,070,348,117,864,018,150,186,993,162,214,989,699,620,679,
462,447,493,840,987,326,629,666,153,461,985,934,938,157,575,645,853,623,975,
958,351,706,905,135,966,038,219,512,413,380,678,696,125,963,450,795,605,596,
495,009,173,962,794,351,551,129,904,805,432,499,658,406,617,431,861,922,598,
457,095,097,060,869,593,360,288,591,545,217,493,063,434,694,013,148,165,999,
724,148,817,024,228,206,516,164,604,735,701,812,362,043,242,987,534,495,638,
231,259,021,741,007,563,751,648,198,899,592,202,735,748,250,798,917,877,475,
252,894,875,058,521,663,409,340,950,428,362,538,850,715,115,740,449,720,521,
076,746,427,810,646,043,354,352,347,573,702,802,053,373,101,092,432,011,660,
556,228,866,474,978,695,820,934,625,587,173,255,667,047,264,489,180,222,753,
004,526,909,048,935,713,101,404,049,622,055,725,971,431,863,506,643,120,498,
893,749,644,120,873,000,828,555,003,078,233,172,623,312,391,133,891,443,349,
685,848,881,783,109,203,155,789,026,759,610,832,037,181,386,283,241,176,462,
382,586,709,504,359,491,718,203,265,629,380,188,341,574,006,175,956,528,147,
244,384,804,765,481,451,152,112,728,064,266,505,291,595,091,905,376,756,566,
575,158,659,139,840,079,674,255,647,003,370,416,742,158,257,441,810,859,948,
602,823,198,625,495,968,408,267,901,893,628,856,624,032,145,426,968,408,453,
567,021,296,665,326,737,507,282,093,809,905,050,856,800,299,962,288,077,585,
002,616,048,645,370,482,980,676,877,882,344,688,676,018,524,713,895,488,964,
358,802,115,322,626,369,430,742,395,827,816,412,478,333,653,768,165,207,388,
289,718,801,596,319,796,954,153,288,129,313,384,027,712,390,774,879,600,311,
691,399,967,037,134,065,584,068,163,149,759,002,044,158,072,325,214,346,942,
190,992,656,946,150,167,449,992,370,384,013,380,571,816,708,459,780,957,456,
728,975,811,098,146,973,415,672,594,819,253,051,896,091,880,360,759,814,493,
954,395,296,503,434,752,399,158,422,207,474,598,386,764,042,728,112,123,735,
895,062,956,271,898,871,425,346,462,808,059,494,765,966,581,097,395,300,693,
604,500,330,736,052,492,175,404,846,464,769,595,223,666,222,165,256,743,470,
746,132,125,676,418,976,830,558,635,042,804,850,930,654,521,543,252,098,764,
592,916,672,810,017,330,155,964,744,150,119,359,508,353,446,626,535,620,623,
328,321,071,346,112,428,949,459,098,916,954,331,057,936,794,556,166,143,837,
823,637,177,030,261,060,220,152,263,689,819,507,600,586,375,778,810,108,001,
149,494,416,761,486,347,032,324,640,759,564,146,254,485,169,469,785,670,592,
544,524,556,099,675,360,920,886,445,066,777,175,639,821,295,776,645,255,940,
295,841,131,311,074,774,588,040,581,732,383,242,286,591,080,853,173,903,366,
309,607,355,294,790,946,260,491,322,496,475,952,844,605,776,867,847,886,567,
806,464,816,938,134,865,058,485,935,492,721,441,849,387,472,601,448,947,667,
976,682,688,290,801,429,719,152,890,236,129,117,983,585,419,792,117,802,840,
196,315,037,848,586,875,540,992,561,527,072,206,428,707,205,663,008,864,908,
612,410,576,911,247,685,166,851,608,393,049,603,778,871,931,018,309,358,392,
676,607,160,489,275,228,284,339,866,040,369,150,735,352,080,727,724,237,836,
289,429,446,473,062,741,855,593,764,698,428,568,413,377,041,029,261,069,078,
184,904,006,340,497,587,470,701,475,244,269,790,583,851,538,047,208,077,392,
494,401,627,351,128,484,171,022,522,542,495,002,284,243,379,550,979,610,034,
466,291,185,147,371,974,446,642,476,771,046,006,465,814,239,656,560,203,105,
454,563,275,535,073,979,562,896,966,333,853,563,810,167,447,590,893,284,037,
621,937,192,428,457,648,768,610,734,387,042,360,466,134,306,098,791,349,839,
276,281,720,750,195,919,950,692,947,199,498,235,656,580,566,054,795,916,205,
539,326,222,897,858,965,002,651,126,911,348,112,740,281,402,792,640,924,692,
945,977,319,207,487,806,817,523,394,268,589,006,830,380,767,756,081,481,954,
820,807,094,321,787,557,747,890,439,742,652,646,275,436,265,643,990,429,405,
683,715,975,585,433,023,676,397,049,445,819,585,429,123,728,554,155,991,246,
467,554,806,659,665,515,873,983,958,803,702,712,309,375,310,793,780,448,989,
895,314,681,842,913,312,048,885,841,146,157,984,787,182,409,629,764,003,348,
431,302,913,496,154,919,142,886,700,571,177,769,401,137,613,579,947,374,331,
837,899,649,945,967,743,669,678,402,695,088,058,356,891,527,443,313,172,933,
764,335,703,910,124,970,925,551,095,342,874,313,674,590,334,342,407,827,858,
649,375,434,967,318,684,161,475,371,779,242,971,783,221,235,647,820,747,765,
614,040,730,394,151,001,394,425,592,162,579,686,747,727,144,596,693,673,343,
655,811,236,898,706,357,545,482,153,973,669,309,324,056,246,915,733,669,796,
967,893,438,333,003,463,332,460,297,356,415,175,490,586,121,409,911,678,711,
624,150,619,215,974,491,703,664,751,093,152,226,606,496,637,776,214,021,452,
757,736,938,568,762,832,219,700,470,693,159,537,014,911,101,629,471,941,794,
420,454,463,178,436,566,769,285,543,191,891,193,568,507,344,447,132,353,705,
057,432,259,417,424,874,530,736,772,184,429,494,290,595,352,337,921,218,939,
737,810,604,093,616,687,646,430,115,220,679,163,411,791,638,642,416,010,327,
865,892,299,569,891,130,241,676,961,604,404,307,095,556,560,988,079,588,817,
123,573,735,194,359,826,698,166,811,011,459,957,783,204,327,793,942,597,009,
526,516,303,589,317,104,578,201,687,403,071,637,391,381,887,525,869,628,351,
842,219,803,703,782,066,570,874,266,530,789,259,703,308,311,550,980,501,876,
761,293,648,708,381,101,188,766,717,800,553,361,588,118,681,082,999,727,159,
445,843,760,632,397,548,614,376,427,336,618,812,250,443,936,426,332,413,421,
344,339,783,196,489,415,145,065,269,671,075,675,955,601,312,442,627,101,781,
694,150,638,756,026,027,890,514,109,606,596,600,443,920,867,580,796,071,094,
116,330,558,502,732,611,441,720,195,727,463,338,387,154,331,864,765,728,775,
510,512,431,172,593,859,270,496,049,109,658,454,612,039,075,887,748,819,695,
262,529,899,766,660,984,646,374,218,162,214,850,818,589,745,829,422,714,862,
983,118,179,904,657,755,227,123,902,339,523,871,426,531,968,967,018,921,887,
773,029,735,070,841,581,371,640,482,133,099,409,823,474,552,200,279,676,688,
122,523,335,200,626,418,091,446,840,883,244,127,086,697,267,112,030,182,911,
477,750,917,512,852,573,646,103,697,839,648,380,979,354,684,505,521,940,090,
104,458,260,022,863,267,331,869,064,915,723,494,369,350,544,500,707,632,586,
184,591,267,379,372,720,955,804,101,112,455,089,422,738,505,865,415,254,286,
076,756,559,212,651,858,165,242,188,154,389,397,042,407,754,530,848,364,353,
282,959,027,890,618,626,172,791,110,049,824,333,457,287,421,144,406,934,911,
947,568,708,218,989,427,156,430,060,681,548,423,060,802,498,962,415,798,994,
820,125,877,054,709,496,150,917,517,552,597,413,150,524,799,073,749,348,290,
431,269,245,707,496,876,148,732,035,515,062,933,278,765,614,403,422,523,545,
786,671,496,237,013,702,242,029,786,194,541,660,507,607,180,016,432,708,903,
134,511,155,201,769,453,884,856,438,352,341,328,706,264,328,845,452,396,077,
207,677,579,448,972,417,141,554,525,888,220,475,567,187,562,997,723,776,079,
551,328,884,436,681,875,599,640,427,468,391,154,332,882,054,548,751,616,373,
510,081,399,781,277,825,784,140,267,750,384,206,373,905,599,099,631,577,959,
877,359,333,400,609,151,503,679,329,223,559,445,889,224,524,452,747,404,762,
051,406,529,288,870,529,599,551,246,944,861,947,328,319,892,927,660,330,809,
258,240,361,203,421,982,509,558,434,583,220,186,305,904,742,464,654,388,684,
883,008,091,335,644,860,835,595,082,377,658,276,870,444,811,045,494,034,668,
789,889,285,981,601,022,998,794,434,122,027,261,957,458,242,620,206,523,705,
637,369,401,777,491,480,233,803,331,748,303,805,414,568,880,550,402,844,040,
819,426,556,366,428,369,874,072,019,254,166,411,594,374,292,177,397,459,369,
350,541,948,192,221,571,733,048,266,637,539,029,751,178,213,994,793,728,347,
624,854,632,400,867,393,481,843,710,572,015,023,027,735,400,239,072,934,924,
453,428,426,980,314,355,300,040,371,447,376,951,716,295,431,501,224,319,947,
828,866,981,805,800,812,856,709,719,029,341,788,402,435,061,625,609,106,549,
576,206,444,935,249,997,726,455,850,072,241,412,344,257,415,710,442,176,569,
579,611,064,199,960,176,111,856,889,158,219,406,466,622,207,547,818,502,666,
051,295,072,619,061,593,801,030,166,722,127,199,025,053,719,773,214,358,407,
720,629,608,374,148,803,275,983,022,491,742,616,799,698,570,369,914,445,788,
620,838,411,725,837,879,862,246,499,859,280,592,435,685,773,734,102,207,448,
520,196,208,550,303,506,913,358,441,505,182,596,536,232,044,478,699,771,218,
460,488,297,574,200,446,583,497,585,821,112,790,387,252,099,171,610,853,096,
005,765,946,429,884,701,303,977,777,477,217,759,445,836,885,480,520,832,390,
678,998,708,792,428,082,079,032,617,170,046,599,077,108,903,982,180,264,328,
750,460,133,577,815,899,641,972,967,395,621,668,588,503,524,310,346,022,847,
620,313,423,404,043,114,722,070,449,311,644,860,480,022,312,511,324,939,777,
577,511,073,727,618,623,801,534,880,446,025,190,339,601,939,549,673,182,253,
441,011,232,517,627,363,808,760,868,313,909,622,259,809,792,080,938,216,250,
996,569,838,908,416,622,840,429,783,598,293,463,324,757,706,865,520,043,453,
059,043,738,612,277,678,880,427,932,662,424,407,360,902,446,534,009,495,030,
436,552,379,710,610,428,371,860,988,353,560,522,426,754,924,522,052,194,411,
987,677,155,350,250,668,180,368,043,473,489,690,594,114,842,199,208,242,863,
410,796,883,703,335,910,051,905,268,768,078,089,592,602,430,964,026,029,348,
829,624,945,590,206,153,663,255,104,056,234,787,052,457,753,677,882,033,554,
465,807,429,694,665,378,427,460,389,226,230,865,915,991,440,423,270,644,586,
983,467,913,507,388,357,684,242,768,442,646,806,100,533,421,670,229,879,337,
789,913,960,716,404,277,041,623,533,915,242,903,639,898,243,280,307,072,725,
304,100,377,261,306,429,328,551,844,997,496,518,533,028,993,602,075,236,977,
512,807,627,475,695,513,798,596,057,486,350,243,131,564,014,537,755,159,391,
800,261,603,155,651,422,972,251,787,901,549,457,989,779,133,339,906,889,683,
498,504,566,849,312,106,459,635,604,404,651,250,894,837,930,236,330,232,027,
367,411,372,914,982,780,462,611,307,835,144,491,435,877,326,040,841,228,811,
342,248,183,748,339,981,540,113,041,865,880,568,963,273,136,108,011,688,728,
073,623,969,506,694,548,752,269,426,226,580,663,097,919,388,615,119,751,471,
784,136,273,203,813,845,163,644,746,687,355,340,800,677,727,652,191,558,678,
845,706,904,369,739,326,329,599,656,042,152,471,300,946,485,306,571,691,124,
895,753,178,227,642,811,639,200,237,463,953,413,520,176,224,013,199,238,181,
313,007,969,958,605,823,459,463,721,926,667,369,026,574,436,383,577,911,610,
168,571,910,749,004,862,164,213,548,902,619,824,860,069,370,172,077,088,959,
828,916,783,737,488,782,359,868,074,201,502,221,848,438,008,054,044,130,823,
133,736,308,105,445,756,313,711,652,581,930,571,202,385,220,568,758,422,142,
859,482,834,586,011,833,453,894,592,666,713,207,578,218,899,217,729,603,122,
287,619,541,681,091,927,448,929,344,610,103,552,364,237,621,022,174,067,679,
407,830,858,483,808,164,977,603,786,746,994,761,503,951,057,198,688,266,083,
112,122,786,298,709,916,273,421,617,541,468,627,011,418,237,264,159,118,454,
396,476,506,285,062,183,284,689,929,397,588,897,271,442,110,824,051,406,724,
684,309,037,573,134,679,481,708,653,260,637,443,560,686,651,875,003,154,193,
806,279,675,647,406,253,186,841,456,401,794,777,598,267,753,747,518,372,902,
241,130,633,380,114,475,441,999,066,436,878,221,509,862,180,643,299,944,746,
572,950,582,811,993,733,591,079,441,148,623,357,550,302,885,751,474,893,947,
123,390,948,703,253,835,908,060,606,811,404,089,340,049,238,422,678,853,591,
152,989,810,021,346,127,716,870,279,803,557,342,242,932,490,801,094,342,840,
127,698,949,646,358,927,292,844,798,844,865,635,819,389,647,660,000,065,856,
856,341,513,890,913,177,532,296,056,461,772,460,518,096,309,695,743,787,816,
245,459,520,330,579,579,807,015,799,696,996,685,264,523,577,546,800,547,444,
033,481,829,319,011,371,595,020,681,223,906,728,068,423,124,905,680,925,117,
195,742,984,903,442,032,324,329,082,286,439,571,397,118,896,332,506,127,125,
570,812,475,892,600,114,348,945,348,359,702,988,888,254,803,289,338,260,184,
315,393,857,411,648,299,625,820,679,851,953,814,023,255,364,139,608,599,886,
109,134,823,324,564,332,920,840,037,746,236,721,710,361,122,583,811,699,498,
591,088,339,522,627,944,243,857,038,469,962,712,932,245,534,750,342,167,262,
566,894,295,385,165,499,675,277,702,997,014,981,545,325,482,742,969,471,397,
407,278,565,843,050,399,188,045,742,291,142,245,779,452,734,453,610,071,946,
682,910,197,990,381,975,161,313,909,890,153,936,179,355,849,556,037,268,251,
449,397,126,786,604,527,453,328,944,264,292,365,672,760,145,927,179,057,147,
304,009,484,872,291,750,895,693,181,053,188,983,847,200,070,259,469,412,316,
052,899,808,321,606,247,197,540,944,196,183,044,760,273,608,384,217,851,470,
794,139,391,652,803,560,846,821,061,260,881,172,580,145,936,079,123,225,475,
490,555,341,727,338,968,758,703,717,022,905,140,565,691,130,975,173,554,410,
320,660,673,783,613,037,422,835,261,121,417,659,516,389,641,464,248,867,717,
597,116,804,117,451,696,096,872,430,627,460,384,509,716,074,109,122,083,982,
894,080,377,416,457,738,742,406,428,343,523,626,478,342,050,784,531,388,611,
938,029,754,301,031,019,670,813,236,001,685,915,560,424,208,292,891,700,220,
892,072,038,413,187,593,576,946,038,443,679,628,593,339,884,191,452,606,379,
027,701,852,908,006,953,157,808,313,532,825,017,467,395,791,026,118,939,128,
137,335,625,359,833,703,614,969,326,469,705,019,078,407,552,898,372,221,990,
793,125,168,628,979,368,012,629,825,000,909,743,192,920,959,896,451,735,909,
359,262,738,505,062,248,090,378,834,642,646,250,982,266,491,807,696,054,456,
819,115,942,028,267,539,190,449,092,971,366,523,257,186,648,794,753,556,231,
880,622,332,013,013,028,608,417,508,040,543,383,202,307,244,014,061,023,904,
634,877,107,472,435,051,524,744,381,242,381,793,912,136,516,385,634,723,254,
649,921,547,219,703,179,028,840,277,613,838,969,087,518,191,892,921,457,036,
307,608,498,516,281,386,635,030,310,342,523,249,222,738,761,831,349,175,326,
473,015,468,769,225,083,706,495,957,705,427,256,807,179,316,868,327,333,172,
498,124,951,583,568,069,632,213,573,815,507,374,512,108,250,513,567,307,477,
088,630,480,831,841,858,823,391,422,891,333,918,380,471,818,152,050,912,751,
152,117,829,711,500,245,983,268,713,319,476,679,017,076,311,225,388,678,398,
483,741,114,343,689,840,909,825,257,273,766,059,797,914,480,023,588,501,003,
783,654,711,743,412,548,470,124,727,644,104,709,548,236,718,967,142,422,864,
514,118,436,924,504,936,120,641,337,008,423,868,307,361,610,605,090,726,153,
687,452,153,819,127,920,879,208,917,283,449,565,195,816,790,745,294,505,504,
184,151,132,482,406,983,319,537,216,859,594,223,233,654,905,865,047,015,695,
085,044,271,761,059,265,193,303,252,523,872,703,811,814,876,041,369,827,186,
360,024,176,240,685,243,039,036,664,396,496,902,697,436,211,748,389,626,913,
248,064,213,226,720,863,751,635,459,294,094,554,262,087,610,631,379,849,919,
811,448,138,074,000,023,091,345,857,144,404,750,771,893,190,388,432,867,591,
435,566,638,851,865,906,248,642,065,764,831,741,517,065,763,812,657,709,912,
008,201,242,423,923,805,236,054,893,114,964,012,959,190,853,996,743,631,863,
945,594,459,541,061,738,807,236,579,240,745,607,836,417,951,036,947,838,386,
551,218,122,766,820,037,089,836,752,539,850,857,896,394,036,174,133,731,286,
632,270,203,560,747,763,363,583,636,484,425,128,327,224,481,291,830,535,381,
363,205,580,575,190,639,865,913,652,076,136,838,322,737,085,832,631,759,628,
139,990,755,915,051,724,554,498,944,090,653,333,875,690,510,900,724,782,023,
705,536,245,601,651,196,390,122,382,847,208,438,645,951,224,123,570,895,265,
269,561,417,029,554,156,051,331,021,382,899,912,167,536,114,310,335,944,763,
249,497,408,271,722,959,194,088,357,764,385,395,944,166,003,372,673,127,193,
697,318,510,419,729,144,521,724,961,155,733,267,610,646,239,670,505,921,401,
932,311,626,524,435,717,023,258,798,385,070,693,599,829,541,059,077,505,270,
120,319,193,906,396,322,027,664,594,287,562,939,835,713,575,081,052,559,535,
386,335,163,174,796,141,054,360,836,648,153,672,377,944,160,741,477,914,385,
867,311,982,900,072,734,148,886,737,704,055,366,602,597,130,290,899,092,891,
098,929,761,509,641,038,635,892,068,131,953,039,847,536,095,871,088,556,998,
030,892,529,302,704,232,836,983,355,117,583,273,080,887,235,314,091,369,026,
034,739,483,131,721,493,170,316,653,657,259,668,707,345,343,647,641,472,645,
059,678,527,464,230,020,030,385,283,321,072,976,174,591,799,848,675,319,342,
409,831,665,076,897,786,195,007,705,395,969,386,059,298,341,904,821,664,261,
987,795,594,798,551,106,696,744,219,886,809,753,111,214,933,073,353,058,013,
995,274,481,467,073,688,668,212,075,325,640,656,221,030,282,680,007,163,712,
837,489,952,850,563,328,430,559,604,811,984,610,391,806,688,604,188,527,435,
055,039,342,520,146,906,429,750,700,038,804,919,038,047,008,711,456,255,255,
817,585,267,237,072,209,954,312,456,488,171,494,936,608,494,432,259,601,659,
092,735,362,968,464,149,705,482,981,736,531,808,994,636,680,908,742,410,555,
638,605,833,488,351,695,398,361,117,776,436,918,060,913,914,692,834,923,473,
873,044,602,935,950,230,614,598,241,359,728,509,971,962,301,683,316,975,251,
106,333,580,850,247,348,414,711,103,256,045,144,207,230,490,609,104,479,304,
642,447,148,091,749,343,893,033,952,260,960,434,208,292,897,748,811,988,668,
036,253,318,154,122,936,919,713,429,043,278,473,468,649,592,359,495,886,833,
407,492,348,137,626,747,953,347,761,055,069,508,563,920,291,070,454,022,408,
592,073,365,243,458,308,554,091,028,793,016,559,767,927,227,936,809,590,051,
936,422,316,047,776,507,681,451,922,354,459,980,070,332,950,595,774,118,543,
398,034,812,506,771,966,337,791,562,452,512,823,183,092,100,788,455,469,972,
624,699,202,425,423,563,154,469,761,465,716,057,241,913,709,072,179,765,370,
200,955,499,445,610,864,969,089,857,747,726,591,502,683,118,822,692,625,694,
994,024,351,327,418,836,724,997,113,118,015,145,322,944,086,232,821,561,177,
048,816,835,769,467,454,180,025,480,970,244,769,727,566,442,680,893,088,115,
565,384,024,511,233,982,334,753,471,418,129,347,064,244,051,095,217,447,802,
386,438,028,965,333,432,340,723,627,336,169,816,363,260,916,507,144,975,900,
102,228,893,300,165,017,760,453,784,445,601,426,187,721,901,870,246,186,139,
703,973,213,314,894,517,743,083,107,052,102,632,172,313,114,329,179,307,444,
299,080,340,938,989,047,131,789,656,939,446,505,424,507,216,679,622,424,212,
516,793,902,617,828,073,088,926,846,681,727,276,804,720,739,081,088,360,620,
566,756,285,971,830,929,824,771,587,348,217,936,975,387,240,803,944,347,532,
966,628,461,152,724,955,786,599,989,563,547,872,230,849,161,462,086,089,223,
021,935,499,492,465,965,859,279,409,803,186,369,359,476,664,740,789,133,964,
441,603,676,548,117,679,242,104,812,305,205,469,461,721,019,080,086,580,042,
879,127,368,286,467,038,391,856,006,554,140,262,362,273,162,950,170,422,195,
794,419,122,724,659,052,552,708,735,884,806,480,667,069,531,835,871,729,343,
709,382,244,345,299,081,020,962,656,732,762,671,925,164,675,221,711,418,947,
233,507,720,189,345,449,576,807,324,922,698,115,063,671,789,461,822,846,042,
832,567,725,052,468,284,394,519,413,144,841,445,888,229,714,468,581,181,637,
933,173,104,040,148,416,314,024,998,784,521,347,846,182,286,624,774,573,944,
122,462,340,067,097,446,849,499,919,806,347,857,716,390,977,254,069,091,540,
598,500,196,887,877,888,448,814,310,029,399,849,134,063,430,430,267,347,330,
951,570,902,556,474,531,569,298,263,755,142,742,980,424,767,759,985,435,156,
158,230,502,912,292,202,584,652,068,122,496,014,268,500,197,811,185,308,124,
086,176,108,875,154,834,677,359,719,594,554,205,241,076,234,610,320,384,150,
166,381,363,432,948,138,845,995,605,679,296,040,291,464,495,212,549,838,565,
185,088,472,568,294,676,404,744,803,529,482,985,751,232,962,414,883,845,183,
032,985,363,596,583,549,186,174,261,436,427,473,847,219,155,887,116,895,675,
463,394,467,822,256,236,049,997,494,238,062,276,072,596,784,961,914,989,849,
752,733,815,933,313,775,805,807,428,723,413,670,518,644,441,734,191,684,601,
878,584,746,895,454,730,719,347,287,009,435,587,395,429,584,923,580,240,064,
244,131,074,044,000,262,376,856,431,631,564,208,562,282,554,416,534,398,959,
046,257,846,617,644,107,107,985,983,076,839,424,665,826,494,985,791,112,788,
718,841,220,139,494,678,914,492,600,546,800,811,012,643,152,123,082,110,483,
648,656,048,544,129,926,824,928,389,887,058,060,168,072,166,495,549,388,433,
479,252,555,777,236,140,719,289,957,577,785,436,560,518,541,964,343,264,447,
406,203,428,701,151,469,690,039,958,582,660,356,155,902,233,531,590,573,568,
216,049,459,702,212,128,257,586,827,862,298,131,821,730,758,532,020,466,964,
042,581,732,022,042,012,163,271,986,672,297,833,428,814,573,585,931,980,980,
201,038,623,817,515,738,862,352,855,640,061,677,412,427,227,813,064,447,132,
840,287,809,272,204,120,910,894,211,580,742,934,231,444,753,560,346,594,291,
458,140,733,157,074,931,902,422,169,203,867,364,914,023,353,682,647,876,597,
865,807,667,549,269,333,811,074,658,795,544,664,690,846,232,021,644,904,816,
430,262,080,139,025,428,561,318,118,849,962,450,479,939,711,537,226,959,621,
496,679,042,588,926,964,050,417,377,465,114,272,194,962,987,208,451,574,110,
209,421,576,215,436,266,602,697,714,192,634,822,726,530,932,594,420,238,102,
763,938,833,435,257,362,775,072,940,234,987,663,613,843,265,515,978,747,782,
020,613,912,423,097,123,919,718,418,504,827,780,826,376,666,076,002,906,818,
946,279,760,103,703,099,826,583,003,739,096,983,907,577,240,019,225,838,068,
267,277,463,907,343,010,223,217,314,314,510,859,744,977,190,783,469,515,296,
866,814,933,189,646,389,752,884,101,569,619,481,357,910,314,513,448,259,945,
027,527,685,844,805,288,628,222,467,965,343,651,466,242,639,281,896,102,740,
059,845,289,313,973,274,996,811,049,541,853,382,744,630,150,020,088,904,824,
437,858,609,086,889,650,605,139,316,343,596,478,487,061,727,324,481,822,584,
075,302,459,321,365,013,570,810,744,791,360,088,390,874,626,306,477,005,325,
985,505,963,210,443,328,759,258,765,477,007,948,340,908,057,695,151,444,383,
885,520,820,762,785,045,219,161,338,515,890,940,170,959,461,753,466,758,088,
529,984,222,692,335,133,090,764,026,445,250,399,736,674,406,181,348,927,288,
001,854,226,069,866,809,763,687,455,535,284,534,631,424,478,502,133,915,517,
350,478,312,183,604,627,144,958,228,330,366,027,816,864,115,671,671,163,520,
688,304,118,689,933,633,590,725,729,182,643,280,008,285,025,676,678,927,745,
352,723,783,965,329,567,588,389,782,684,044,760,350,689,130,587,304,889,082,
057,861,583,745,337,416,573,390,998,474,131,959,652,735,789,204,495,587,130,
557,681,438,600,107,247,606,430,996,843,506,420,422,728,877,551,288,159,859,
589,148,792,184,751,669,909,862,741,062,907,821,323,076,369,963,676,538,271,
444,474,366,368,199,256,860,230,382,678,291,995,933,770,595,496,498,391,184,
870,928,991,254,747,416,507,857,772,044,783,583,488,050,055,942,167,751,146,
417,644,400,572,724,921,928,585,712,659,625,268,168,128,660,093,294,537,671,
821,501,211,010,676,513,678,006,625,021,366,203,993,116,117,268,578,850,735,
269,186,910,182,987,454,011,880,119,401,295,323,734,942,250,254,539,637,725,
846,831,158,749,420,326,566,666,732,987,591,172,442,105,843,970,895,554,966,
227,849,857,414,284,091,725,289,485,948,232,692,231,752,362,861,276,430,055,
918,445,414,043,243,726,320,144,236,256,449,765,420,594,578,428,259,027,519,
091,104,224,297,790,483,405,530,037,412,132,215,883,773,111,770,265,380,603,
953,473,278,363,202,239,956,100,478,698,169,645,609,951,279,340,041,965,073,
114,893,430,378,183,402,353,346,717,876,098,699,325,922,876,243,019,656,417,
586,736,276,480,478,497,967,874,788,181,795,783,909,090,303,671,543,343,363,
777,306,284,923,686,614,125,301,129,877,326,944,476,853,510,663,884,401,824,
171,692,601,193,819,415,907,145,571,500,895,247,667,728,279,319,743,025,909,
068,659,879,737,340,047,244,975,693,584,607,957,887,734,670,922,352,081,646,
571,906,934,812,300,811,007,788,331,312,133,544,631,581,536,138,063,712,066,
414,543,982,865,242,677,475,764,607,765,111,685,407,442,520,792,273,997,715,
053,986,024,745,516,095,540,647,699,386,183,033,598,642,853,738,847,146,956,
391,060,180,310,012,163,504,745,937,408,854,375,484,140,891,900,385,870,179,
142,308,394,375,242,380,983,041,216,768,026,287,186,153,661,765,009,133,226,
423,041,494,436,576,910,970,977,404,780,364,583,126,369,583,843,067,537,304,
586,024,070,446,129,490,664,959,891,056,673,287,863,878,851,304,508,117,122,
560,317,133,795,829,165,741,858,561,747,786,165,754,048,011,261,041,449,860,
573,179,352,948,977,354,460,873,689,771,122,194,582,582,626,092,713,061,943,
898,876,844,691,553,004,770,009,551,156,121,212,278,257,467,180,504,136,302,
852,282,703,350,948,052,286,316,421,043,361,502,463,368,286,765,193,435,777,
926,350,188,723,620,026,740,073,187,929,306,891,647,481,508,506,215,062,449,
153,168,341,766,746,606,264,834,610,313,669,402,758,421,211,769,558,691,579,
130,429,233,551,214,290,469,732,659,873,465,235,279,479,435,600,632,828,366,
357,840,962,494,586,363,906,897,524,943,165,483,143,658,747,394,474,078,091,
313,155,053,462,465,046,607,123,870,413,365,583,928,039,067,700,335,171,420,
023,729,365,341,891,599,694,539,456,482,794,563,504,775,945,597,092,262,678,
577,740,448,644,706,066,831,172,997,228,739,022,112,269,014,839,915,507,967,
692,599,606,063,785,685,926,833,521,977,540,656,150,526,631,038,436,793,238,
820,763,216,576,357,018,112,665,649,722,803,521,618,169,612,058,717,087,891,
219,979,722,024,877,814,262,876,623,991,513,998,806,010,172,514,394,761,091,
436,358,240,276,681,601,066,832,166,282,233,781,826,594,900,261,540,290,532,
747,111,037,637,141,473,433,913,601,368,670,859,050,508,414,353,387,247,927,
477,672,931,584,949,340,182,544,404,401,161,391,425,743,193,551,543,650,502,
479,750,667,323,397,670,688,714,893,989,966,034,678,161,763,428,199,924,449,
186,797,028,005,852,050,864,878,005,130,670,928,246,216,585,397,243,202,290,
375,778,855,443,481,100,873,637,060,381,962,846,422,162,137,635,160,763,845,
772,076,125,514,213,479,766,334,826,667,006,766,933,635,610,365,100,399,660,
053,958,087,668,571,892,730,729,193,566,717,655,494,381,498,374,939,636,351,
951,192,619,866,696,203,321,053,709,094,419,104,530,683,513,219,153,178,011,
114,283,818,017,453,805,974,375,154,899,071,000,110,616,528,939,711,932,847,
909,955,298,151,986,367,653,585,991,781,089,925,100,585,179,578,505,738,579,
297,743,690,220,694,217,282,352,300,403,332,926,406,422,858,676,043,877,104,
736,986,824,680,165,779,529,006,539,318,520,020,861,564,403,566,117,789,637,
287,800,921,786,376,474,845,170,863,559,046,028,985,832,766,031,807,624,399,
888,579,055,469,324,864,387,845,874,117,247,213,703,487,522,057,417,105,062,
195,139,330,774,420,074,539,470,714,015,402,698,258,334,076,117,324,432,502,
603,784,328,200,273,814,331,334,878,358,304,658,275,759,635,707,899,506,725,
182,798,487,909,968,480,702,075,941,915,027,755,685,415,587,639,645,535,235,
087,006,558,612,266,521,467,684,475,658,546,842,349,326,718,238,135,578,897,
973,685,746,533,960,853,418,506,992,671,551,497,465,570,610,363,935,446,890,
642,627,155,130,852,669,835,004,138,557,053,062,481,459,531,391,984,542,575,
126,872,550,263,235,501,511,567,534,373,367,534,984,006,258,530,679,885,790,
503,090,891,421,094,818,068,123,734,227,797,258,674,103,721,215,590,739,827,
786,172,194,156,809,549,001,921,768,310,907,759,378,531,873,730,736,125,953,
753,906,358,071,859,856,644,130,406,785,283,821,748,905,017,750,812,205,947,
365,248,434,963,629,716,032,082,678,212,265,969,210,480,981,778,548,312,132,
657,191,786,009,197,507,431,268,070,113,812,518,921,090,280,637,162,358,359,
890,497,474,596,146,473,081,891,065,040,199,465,494,998,214,228,335,477,733,
964,130,052,085,464,910,107,681,867,861,638,722,205,562,712,754,601,971,394,
202,122,404,374,315,017,528,377,614,683,856,212,455,970,159,084,479,367,193,
324,769,834,134,380,919,777,295,636,979,610,730,599,231,373,931,747,256,486,
325,770,576,065,253,804,677,538,438,913,275,134,888,241,629,112,597,179,968,
273,979,444,357,722,661,592,219,116,330,050,926,524,807,780,102,721,182,997,
907,873,039,376,463,243,121,601,340,152,541,639,873,094,243,416,735,310,458,
784,854,443,958,158,216,397,985,464,574,454,389,669,945,593,666,080,903,953,
400,526,593,319,431,311,108,270,118,175,970,450,784,365,049,404,073,925,449,
086,824,440,141,639,874,202,777,078,902,320,041,295,541,285,739,465,805,120,
204,674,359,021,762,453,436,591,991,241,962,982,564,100,456,203,467,873,260,
984,499,914,911,433,874,641,865,835,291,011,996,655,032,130,846,439,053,195,
467,848,684,527,584,194,776,297,183,050,195,640,356,757,404,847,691,382,441,
032,483,595,536,073,598,307,364,430,479,979,694,679,319,215,960,655,546,910,
495,502,259,688,419,893,181,981,425,852,937,552,825,669,694,833,201,713,247,
449,429,320,846,364,580,644,359,312,739,358,700,148,880,814,117,697,319,460,
646,033,561,795,331,246,381,149,598,019,104,911,083,416,844,577,381,240,634,
019,263,438,938,134,323,567,414,297,096,637,821,480,315,518,341,916,324,232,
414,308,937,183,730,677,362,300,621,221,202,452,442,861,994,793,275,425,429,
316,777,986,818,488,414,159,592,692,914,393,992,585,102,829,145,462,082,108,
244,975,439,931,374,986,326,836,660,214,221,810,630,113,602,482,557,815,856,
533,356,524,215,979,662,691,980,141,290,541,138,772,694,672,355,622,368,246,
915,246,270,246,996,432,405,971,019,063,668,469,458,435,641,428,761,832,515,
180,739,451,109,770,897,366,280,740,488,320,428,543,178,507,794,278,372,069,
189,540,485,313,549,815,836,668,110,973,411,175,144,795,804,045,437,966,772,
199,210,332,174,869,474,433,301,669,463,180,937,971,377,535,531,685,359,825,
275,481,092,535,529,344,788,386,959,768,673,034,754,704,610,812,597,486,671,
805,228,380,090,208,786,183,318,830,965,556,572,687,122,079,909,745,013,074,
180,486,285,773,093,930,535,932,471,495,579,374,112,052,716,928,964,354,605,
317,031,692,291,254,933,484,678,867,779,131,600,186,062,154,839,945,301,609,
435,643,338,059,722,433,468,532,702,738,885,007,871,390,551,805,424,381,728,
656,436,962,948,234,726,550,383,908,536,581,501,755,608,534,191,839,926,190,
584,670,311,366,276,152,227,398,578,019,595,485,261,267,203,512,687,968,817,
876,404,358,910,852,967,203,351,248,078,488,843,485,272,491,556,031,983,124,
673,819,670,831,806,095,546,105,724,297,387,152,544,083,896,018,307,230,135,
230,005,651,244,410,450,329,562,092,455,667,535,239,807,516,995,141,634,048,
043,850,546,054,686,342,822,595,653,321,276,240,890,906,853,183,032,113,807,
196,646,353,763,092,711,241,998,041,014,258,175,672,745,311,477,267,527,725,
614,745,751,640,357,478,868,754,151,474,578,576,930,312,817,143,648,760,252,
161,397,192,738,071,622,493,850,490,468,004,226,662,091,528,490,008,201,526,
243,895,740,695,276,990,535,798,057,846,892,458,491,292,303,617,281,044,914,
908,218,977,728,522,843,684,826,978,580,048,678,914,752,146,219,032,803,082,
933,677,716,786,601,604,024,623,782,006,415,460,580,151,261,966,426,709,459,
008,981,779,030,117,101,173,981,365,182,368,839,210,265,509,381,413,669,471,
975,608,532,933,937,285,228,156,651,682,613,191,502,612,868,399,337,545,287,
582,332,558,632,368,214,381,377,081,760,730,153,911,565,862,889,306,880,304,
799,288,498,541,340,492,424,255,376,886,319,312,936,061,432,633,327,271,911,
245,911,050,601,020,282,905,529,415,754,672,514,249,356,856,082,368,465,689,
597,933,495,287,023,479,599,906,015,793,475,279,243,954,300,097,336,334,813,
545,184,761,459,312,705,795,535,153,463,872,277,053,069,157,786,168,858,744,
946,721,755,972,663,018,867,107,581,963,339,438,185,575,209,125,547,758,171,
236,958,263,504,760,325,017,961,694,416,481,822,051,820,138,623,177,359,330,
877,171,404,468,689,678,791,507,531,164,094,435,383,836,533,982,994,101,607,
552,443,335,874,756,791,241,572,302,982,266,738,283,089,685,239,701,540,385,
072,864,677,418,888,544,072,817,466,069,622,930,621,384,882,131,074,198,395,
126,161,530,630,720,382,218,746,945,425,038,343,062,710,064,126,256,447,641,
221,173,639,400,323,209,908,010,447,065,652,777,669,364,362,085,884,898,241,
819,901,664,830,605,275,551,409,950,289,938,427,880,278,956,472,161,157,700,
715,997,111,399,310,454,379,257,048,526,936,127,666,199,477,425,758,750,380,
133,796,096,470,445,615,551,435,882,144,531,694,337,253,329,096,840,648,297,
572,867,466,432,570,692,025,158,290,390,560,094,656,576,101,739,017,816,803,
045,611,878,118,572,643,960,382,004,866,469,976,904,480,314,252,256,317,630,
979,061,864,799,748,160,562,330,314,891,647,066,578,481,602,362,117,188,672,
441,728,551,702,256,305,004,331,313,231,894,397,350,662,239,425,511,832,166,
813,911,930,914,111,661,723,626,189,829,830,381,670,675,600,498,970,536,400,
159,507,321,338,442,472,759,109,773,445,696,764,679,629,362,018,756,637,394,
009,116,968,540,636,176,355,695,887,861,543,312,390,320,125,410,106,240,893,
602,142,566,401,396,756,250,456,020,153,176,989,017,238,204,791,265,075,111,
266,383,958,910,302,818,742,388,472,132,796,273,606,517,982,500,292,245,286,
051,238,638,701,860,958,967,736,277,021,302,483,563,111,452,366,473,622,796,
739,057,898,019,468,686,069,394,584,327,611,414,289,418,577,289,070,716,912,
362,042,894,612,613,025,794,437,064,898,418,177,958,272,911,376,562,689,090,
816,636,285,941,315,596,566,025,470,310,462,227,066,941,514,535,249,766,941,
121,347,041,928,410,594,047,461,603,531,698,979,786,346,506,529,737,578,484,
340,421,461,512,854,812,476,671,460,240,825,000,516,966,939,801,779,189,971,
580,606,414,168,014,674,934,229,843,971,070,411,874,562,246,633,488,046,453,
641,473,630,062,479,214,529,305,099,333,246,447,673,470,070,885,519,396,997,
015,794,744,873,984,099,074,806,539,691,690,882,110,155,094,506,991,712,879,
045,647,806,388,751,621,128,352,583,742,933,487,977,919,432,127,290,298,342,
029,234,096,806,690,178,852,669,069,148,480,074,923,430,285,345,661,172,931,
651,752,878,422,829,510,076,752,882,629,807,680,263,261,055,960,273,328,706,
866,711,140,530,028,560,120,247,646,417,053,717,964,090,443,749,426,767,591,
828,070,717,809,445,984,835,417,405,264,402,830,269,937,243,224,321,551,397,
334,626,740,978,724,024,825,178,856,492,699,119,415,193,487,459,223,213,987,
380,989,714,266,467,219,012,296,279,910,377,717,648,333,375,203,185,211,467,
381,837,429,208,504,121,546,144,856,355,126,957,196,449,783,539,364,578,121,
809,037,360,540,289,121,871,329,764,463,675,092,159,663,579,067,425,582,585,
055,820,967,567,076,976,088,867,143,619,243,138,685,612,279,633,696,707,218,
042,706,817,748,739,176,137,389,136,544,818,639,937,588,779,214,519,236,385,
896,372,786,840,428,563,188,162,761,936,260,080,912,889,225,598,315,331,863,
193,970,971,886,932,575,903,342,925,876,859,506,185,402,398,372,999,488,551,
233,894,236,037,990,615,672,619,689,049,236,382,392,702,629,725,292,478,259,
042,771,901,187,682,295,371,009,123,708,157,923,358,026,007,892,802,630,837,
244,186,193,616,033,814,147,295,186,569,219,851,486,158,998,760,207,105,650,
475,266,882,253,054,260,415,945,130,769,542,482,809,021,898,215,218,062,914,
417,030,546,807,990,439,647,984,482,438,921,640,663,825,488,971,498,481,348,
549,444,725,042,843,754,827,223,896,049,692,764,052,625,309,060,227,619,886,
925,820,502,327,085,875,801,554,882,872,561,543,768,228,127,851,178,045,359,
036,186,493,698,528,741,273,173,282,307,115,067,358,856,670,279,103,086,020,
006,461,530,772,722,540,832,475,551,474,983,757,159,516,917,648,585,193,947,
450,008,576,802,549,828,340,433,705,096,277,355,041,553,254,308,284,616,695,
269,256,234,235,747,633,949,313,266,944,671,088,191,122,417,055,785,462,146,
713,182,447,527,687,575,504,774,075,214,170,608,927,897,984,236,816,920,914,
838,659,545,045,524,668,252,340,535,030,605,028,694,151,291,164,616,312,046,
965,278,745,265,648,897,026,112,566,223,110,236,323,673,207,049,870,993,172,
980,870,848,094,821,331,503,340,122,701,348,740,815,381,480,426,797,206,469,
739,550,036,712,305,201,262,140,049,894,417,091,959,269,498,084,256,259,505,
404,180,528,981,013,813,761,115,009,757,054,988,160,938,200,487,548,286,436,
352,137,186,573,443,575,294,218,090,892,587,395,283,986,152,643,592,743,698,
786,455,243,155,600,609,161,883,896,438,987,324,462,120,924,715,106,128,525,
388,165,479,252,894,903,952,618,459,844,294,822,487,693,860,246,270,469,668,
346,426,783,293,912,647,165,915,053,507,268,832,254,861,008,149,849,181,597,
183,591,099,040,794,672,233,483,091,895,390,660,902,718,993,398,113,146,848,
620,882,057,665,769,718,389,643,432,390,359,168,614,048,030,040,180,203,581,
320,524,929,199,574,659,889,269,014,912,987,226,099,331,077,992,605,601,066,
599,429,392,358,748,019,695,539,170,351,718,471,766,180,452,459,983,639,038,
641,167,708,027,416,667,746,991,822,445,530,089,836,570,191,687,130,850,823,
084,657,331,720,097,303,527,697,722,345,642,765,975,803,942,252,951,404,991,
578,967,243,393,384,171,128,170,876,306,534,485,583,820,021,446,226,444,470,
696,368,739,287,162,028,206,624,031,996,401,207,577,091,870,013,016,557,199,
714,818,244,495,533,380,011,428,050,769,102,937,883,479,034,196,777,034,330,
897,524,899,731,579,789,061,638,504,796,837,930,545,366,599,217,343,176,954,
478,538,587,207,429,244,327,949,270,340,863,548,929,576,391,579,950,867,900,
352,002,882,376,321,009,830,766,319,900,664,169,095,560,534,136,182,393,943,
336,580,989,019,333,782,838,571,542,317,970,081,099,087,013,806,185,555,695,
436,435,046,231,135,622,092,819,058,062,597,765,143,011,905,731,586,433,227,
294,375,337,728,881,140,864,310,549,983,377,399,524,458,064,440,404,563,830,
963,363,112,128,515,468,012,283,754,335,905,169,302,134,052,053,140,993,360,
534,675,490,849,556,406,775,335,552,829,358,045,284,646,078,342,282,526,027,
054,677,407,326,115,197,875,820,160,040,315,210,101,761,248,450,940,420,749,
507,557,133,275,852,224,066,761,051,251,663,455,486,554,314,101,693,854,807,
775,575,191,050,478,093,318,991,495,823,021,868,524,035,090,851,704,073,184,
772,561,447,872,686,814,959,967,584,776,857,388,769,811,311,019,589,788,567,
655,364,388,293,190,647,648,917,112,627,037,251,342,189,316,154,747,005,470,
844,418,698,154,712,630,178,410,009,392,824,902,285,207,321,041,794,586,151,
839,388,547,158,793,743,021,170,983,620,009,282,715,502,070,679,777,885,370,
065,043,824,501,553,101,008,980,055,089,862,942,832,860,268,931,070,486,928,
470,379,297,159,184,199,191,864,278,702,824,577,429,818,251,594,737,645,184,
193,976,153,754,317,566,261,035,718,644,477,890,975,694,140,363,445,345,153,
903,494,202,764,645,515,715,359,323,440,742,413,928,452,649,735,614,553,318,
990,402,994,763,263,367,788,214,492,587,900,537,952,662,929,152,009,690,124,
713,612,945,665,012,730,676,247,731,700,812,172,543,304,096,444,107,087,555,
751,810,900,296,230,518,483,514,156,301,777,202,110,336,567,356,621,210,701,
082,362,292,191,516,436,108,529,066,784,820,502,825,571,580,199,750,935,628,
727,570,948,563,316,456,551,903,596,682,002,902,474,508,212,322,750,992,754,
926,811,992,976,223,881,786,221,288,909,132,195,691,873,194,601,640,723,010,
037,851,322,715,737,672,224,806,313,210,768,232,628,880,969,618,237,733,928,
516,561,343,624,197,018,795,555,768,168,950,048,249,163,730,021,007,620,364,
471,146,373,134,455,050,599,057,051,383,024,783,529,592,241,706,635,332,276,
110,243,073,996,166,688,142,338,332,225,261,494,064,922,492,900,118,826,144,
107,852,665,295,882,971,380,930,445,869,485,580,033,540,582,433,208,010,179,
618,520,444,191,046,256,736,131,312,014,005,002,284,224,062,098,223,229,872,
070,020,993,552,999,202,850,646,793,205,571,890,194,088,043,088,678,664,477,
055,474,172,547,514,102,869,473,316,143,191,041,562,828,529,226,256,960,289,
290,130,755,751,761,363,049,200,149,821,444,225,514,385,246,495,374,187,109,
248,707,087,936,865,749,586,484,748,623,845,456,199,918,948,954,661,511,550,
553,931,061,144,695,613,787,261,824,952,114,352,806,217,627,192,562,529,315,
570,705,195,117,280,920,755,675,841,705,569,348,914,659,747,229,691,422,822,
825,884,129,831,968,194,188,285,422,651,553,132,950,566,258,446,830,404,186,
070,014,923,095,826,473,094,458,802,822,716,872,293,031,866,086,523,701,719,
108,602,758,703,675,493,009,931,412,535,525,791,886,446,628,098,850,017,811,
803,594,206,968,059,923,325,841,164,035,060,556,735,284,822,855,332,555,737,
182,737,558,722,960,440,096,707,230,529,085,757,652,014,001,636,112,060,039,
329,833,289,207,264,618,983,460,094,369,469,955,241,871,389,181,385,102,485,
305,650,984,551,941,080,465,610,118,641,572,200,414,270,710,187,473,725,745,
079,644,249,519,648,380,174,121,117,133,641,575,260,381,224,880,298,792,424,
726,231,685,090,566,283,394,763,617,960,147,911,084,318,893,269,061,027,205,
822,487,147,564,956,580,224,067,583,894,733,590,279,793,386,558,910,845,487,
259,699,856,794,099,559,447,935,089,116,649,471,724,844,247,092,327,365,140,
045,336,886,087,094,978,449,342,886,831,229,556,378,169,923,853,384,845,372,
351,090,742,578,590,394,585,792,285,449,204,889,358,961,227,974,123,652,148,
538,346,802,916,098,264,054,264,564,802,272,952,777,826,684,271,975,419,139,
768,941,051,907,170,804,926,389,153,399,211,560,862,694,898,096,187,800,192,
202,619,147,052,775,819,472,974,192,400,660,755,428,256,992,852,235,475,736,
619,231,786,061,853,974,250,547,814,236,812,378,308,628,372,641,366,455,294,
237,368,262,298,235,734,293,877,516,565,559,922,453,004,755,869,172,554,427,
324,543,257,301,740,180,954,353,729,987,639,069,696,038,864,088,828,889,014,
976,455,764,548,475,524,479,437,189,346,429,149,454,739,902,321,606,684,877,
461,820,243,572,525,699,946,419,371,191,505,138,380,125,242,795,576,273,506,
605,559,006,202,687,520,604,663,212,956,891,215,282,116,911,962,996,294,703,
611,810,064,202,892,853,014,721,405,802,997,843,853,416,523,372,210,267,499,
051,589,650,725,487,982,244,375,718,938,053,367,993,139,989,584,317,201,520,
951,521,917,327,706,667,118,797,504,086,959,452,877,672,604,660,910,516,348,
986,501,068,142,128,642,571,331,880,285,517,893,369,963,575,110,232,274,156,
762,264,724,751,042,718,658,852,355,741,984,629,115,041,794,294,118,070,713,
616,359,946,488,671,451,984,703,758,071,783,570,604,102,272,816,517,782,219,
474,028,522,810,544,408,486,763,604,501,345,781,719,186,235,334,705,336,967,
947,792,788,582,114,356,397,872,609,490,325,203,277,113,639,595,790,662,855,
212,146,157,414,570,648,676,784,064,430,983,208,254,429,381,356,564,916,463,
587,693,016,477,530,281,284,841,618,808,058,564,570,995,076,143,287,505,522,
741,131,555,155,689,648,656,568,927,232,614,805,837,345,541,056,536,994,107,
150,612,494,198,342,192,060,383,243,053,351,852,373,426,937,360,938,101,056,
964,945,072,809,307,962,508,298,245,102,844,505,314,740,166,245,235,849,943,
894,136,128,046,788,272,386,103,936,096,597,532,994,884,099,092,593,380,413,
457,986,719,046,469,873,800,415,102,085,747,331,639,784,372,165,039,896,485,
348,357,543,422,720,655,618,262,680,011,447,934,661,592,145,820,108,405,729,
212,755,289,580,589,840,295,864,328,936,629,989,294,152,505,436,857,565,063,
294,427,515,993,461,025,465,722,532,571,532,859,068,405,182,177,311,235,651,
330,017,835,567,549,350,126,522,331,872,482,418,600,945,480,099,683,522,808,
982,549,839,171,161,302,443,272,180,931,966,124,252,256,974,813,500,690,794,
858,256,116,420,955,042,486,094,538,420,737,206,867,841,896,888,357,613,864,
680,686,477,651,352,515,819,011,419,646,340,294,296,796,512,380,073,455,248,
995,976,066,484,883,660,120,400,894,448,438,772,429,745,440,332,393,569,672,
240,773,136,454,268,197,284,777,963,283,808,549,777,114,046,761,395,178,940,
585,731,567,877,362,800,467,204,683,402,298,007,050,739,495,059,107,978,109,
786,354,832,257,716,339,033,116,409,531,340,811,431,035,457,186,762,789,776,
101,332,217,173,570,227,716,418,763,946,142,433,292,990,738,132,893,228,721,
437,633,558,365,132,821,473,402,808,527,965,517,745,562,180,766,939,285,025,
291,749,660,981,339,769,404,444,853,953,687,276,722,499,282,256,656,452,099,
845,991,181,649,439,701,204,719,686,768,828,630,801,121,031,799,410,011,712,
315,154,165,717,904,132,397,166,156,212,799,606,622,025,102,872,246,710,477,
821,438,072,464,580,302,123,295,740,600,160,117,821,996,627,163,990,358,981,
925,362,358,893,707,797,395,490,105,043,056,842,149,041,004,999,046,714,893,
961,085,434,877,675,689,296,865,658,678,856,371,111,119,034,399,340,154,310,
809,792,689,641,086,248,441,598,147,883,017,321,009,331,714,914,828,761,549,
776,132,302,066,379,133,400,002,575,104,023,697,857,369,121,827,111,121,380,
486,894,469,031,868,756,703,714,985,245,808,286,162,875,771,151,655,288,878,
811,169,160,800,828,059,223,725,662,500,833,424,571,620,221,817,499,320,763,
256,577,793,573,619,708,782,919,489,534,573,518,120,564,832,534,424,458,755,
241,607,882,276,279,412,781,724,278,724,227,974,489,551,038,972,012,415,863,
863,978,683,526,089,073,383,962,765,057,013,942,772,905,055,061,541,163,563,
974,564,425,528,684,426,737,453,682,325,792,321,349,445,697,385,077,037,729,
522,099,224,409,583,698,129,271,234,844,896,527,320,582,820,738,380,511,864,
829,662,311,190,899,711,278,469,396,103,792,973,284,005,482,018,681,977,075,
829,472,460,037,728,688,462,346,030,099,507,129,314,583,630,570,511,069,701,
275,853,598,826,105,835,600,676,932,903,588,808,698,566,217,576,947,783,536,
280,784,853,042,556,339,949,596,615,383,366,258,241,157,972,701,949,374,467,
880,687,660,123,935,108,737,403,341,309,371,074,833,984,207,668,920,654,671,
423,477,254,921,795,017,742,568,242,984,703,587,670,116,116,272,569,854,845,
292,357,900,690,983,095,474,050,382,403,809,545,610,538,748,979,898,137,358,
760,128,180,555,352,665,887,885,316,595,195,184,084,137,712,285,942,292,721,
765,235,802,262,171,062,227,438,539,192,795,646,079,320,080,285,942,769,033,
464,882,288,888,544,038,355,754,502,886,353,917,476,175,102,196,187,287,047,
302,144,474,222,297,120,831,255,466,155,110,456,597,323,375,294,513,143,979,
199,842,524,610,016,494,102,612,283,325,183,622,209,202,257,557,166,606,034,
862,595,162,114,977,377,117,818,244,677,322,957,094,200,028,824,533,109,560,
058,868,912,467,314,007,760,935,825,438,491,409,382,840,821,247,269,968,042,
213,566,923,244,877,313,048,488,478,405,506,571,230,238,348,262,527,316,566,
922,876,069,133,671,973,474,169,202,282,766,406,135,226,759,118,141,913,795,
900,083,899,348,307,338,029,243,973,343,225,580,509,160,067,039,578,369,283,
581,942,357,303,974,108,258,008,465,138,688,214,295,407,988,374,523,618,178,
787,940,794,861,429,389,054,225,950,185,691,304,299,967,843,808,094,569,939,
958,536,292,191,855,128,928,708,414,866,658,931,997,633,950,283,055,579,625,
802,143,943,045,185,468,654,026,371,631,260,308,416,202,385,428,155,426,906,
091,534,988,300,019,309,796,176,614,122,889,562,732,532,687,117,452,609,429,
138,949,057,149,941,651,098,525,242,591,362,238,942,657,148,418,907,179,998,
245,788,937,670,705,421,513,870,857,611,297,827,904,707,696,812,006,631,466,
101,538,588,454,498,578,709,607,971,210,842,305,763,263,945,014,431,058,888,
883,428,394,588,966,868,901,143,325,874,994,625,113,916,055,543,640,326,070,
595,916,219,942,925,077,913,809,130,988,891,266,262,829,653,214,481,620,784,
326,422,499,621,743,408,063,225,587,329,210,017,806,699,442,806,334,733,082,
474,056,521,774,525,140,188,208,785,860,316,564,455,925,723,095,480,144,666,
453,262,363,373,244,584,791,103,768,537,701,621,848,612,065,640,005,411,432,
350,834,622,721,406,399,912,722,984,512,583,954,498,799,969,468,938,960,148,
476,424,647,848,354,948,429,687,241,059,100,867,033,880,218,175,386,741,905,
787,838,636,326,251,878,964,653,585,621,253,419,855,256,103,687,627,765,854,
645,440,881,080,374,116,159,884,104,590,886,572,006,855,064,084,224,604,294,
250,242,996,323,550,676,318,440,144,967,083,995,608,585,727,300,012,961,885,
042,377,407,519,922,887,737,510,158,169,013,754,120,846,757,294,477,593,999,
606,793,061,206,729,418,710,488,055,602,477,281,416,158,705,852,296,872,961,
248,978,725,391,602,845,435,864,345,443,955,103,609,045,879,630,593,400,976,
212,241,603,023,506,206,136,810,183,730,466,799,170,809,616,965,392,257,558,
090,286,025,521,634,439,527,752,201,886,415,492,070,248,525,176,453,982,422,
321,281,831,639,455,284,582,826,425,080,529,959,018,483,857,617,274,520,314,
538,831,650,395,196,950,807,534,159,247,735,112,669,493,850,421,721,885,939,
078,467,855,397,887,358,531,331,852,224,994,360,103,959,700,677,727,766,226,
524,072,642,392,351,044,993,807,473,295,435,934,438,981,207,628,536,059,960,
511,863,794,859,747,090,712,153,927,261,793,839,873,538,885,591,665,220,578,
085,396,353,690,343,650,958,096,048,377,590,654,716,539,806,126,790,676,094,
413,125,782,955,971,152,870,794,045,453,450,598,790,351,179,820,701,349,476,
522,288,931,112,582,482,006,534,330,419,684,996,769,988,872,774,538,522,310,
105,685,684,300,480,986,358,176,619,013,013,932,909,745,613,173,132,538,515,
936,945,383,160,660,695,857,667,977,782,962,241,134,110,638,640,273,349,603,
540,854,570,333,052,027,617,459,117,175,150,666,601,910,315,138,860,560,900,
427,699,720,608,999,900,393,231,199,278,264,344,153,236,250,515,010,246,696,
506,561,918,910,425,418,705,619,973,682,359,115,353,543,573,841,033,768,175,
913,059,189,496,308,615,407,319,690,173,270,081,231,727,110,321,567,461,890,
538,896,215,579,945,617,101,678,573,030,628,436,639,403,486,940,757,864,985,
977,295,075,914,549,966,299,014,786,739,299,833,614,114,202,157,865,797,119,
454,998,576,993,494,338,128,151,217,552,205,194,445,337,060,629,625,278,171,
413,289,030,553,830,319,408,099,188,815,977,167,537,337,798,382,692,005,770,
084,604,216,413,550,861,149,851,527,777,961,996,868,332,874,668,192,186,732,
294,406,883,588,923,527,127,302,162,369,407,656,772,859,366,993,318,066,619,
981,970,573,024,274,377,681,714,017,905,209,973,608,766,246,121,985,205,151,
634,739,635,409,491,076,355,956,041,324,522,914,077,252,675,057,693,123,893,
891,818,081,161,928,989,468,823,398,309,963,283,028,764,462,469,983,446,378,
259,141,569,471,603,364,331,183,696,757,459,978,098,076,346,596,047,998,621,
692,384,392,781,573,083,609,842,575,777,637,189,170,137,827,786,433,704,830,
023,859,251,900,233,054,630,897,243,120,085,234,595,504,444,585,762,814,156,
938,692,599,722,908,895,494,771,305,360,144,162,878,876,827,563,728,306,788,
725,874,600,567,941,263,420,329,257,940,544,791,982,433,042,495,393,776,616,
475,929,445,214,442,455,046,289,022,091,144,567,827,993,205,515,801,715,609,
317,816,209,889,418,017,632,388,055,787,068,934,906,070,293,920,070,041,292,
577,759,379,302,444,173,881,358,828,139,284,846,855,096,543,134,091,953,165,
001,182,466,058,473,316,222,947,850,234,928,937,253,808,843,001,719,688,859,
196,889,381,638,203,096,850,037,479,496,723,931,090,707,472,853,285,684,040,
928,029,179,617,599,583,182,112,933,296,081,202,840,131,570,401,704,155,642,
901,435,018,381,904,832,472,128,725,928,821,536,533,209,756,245,531,256,034,
383,279,767,925,667,025,066,479,176,989,232,456,792,820,176,630,775,957,376,
100,174,544,952,211,780,269,819,162,139,031,121,570,956,738,819,063,404,498,
989,760,976,662,668,503,327,292,698,564,799,868,044,994,678,759,914,695,654,
097,601,427,634,879,253,460,523,630,880,295,841,723,979,294,176,062,053,930,
285,080,538,534,330,423,318,396,438,314,432,594,048,564,057,512,469,318,286,
483,906,037,034,530,346,987,706,543,470,707,971,683,875,723,629,586,196,355,
668,696,311,948,608,653,617,196,405,936,394,550,689,555,513,387,337,203,583,
203,209,242,920,934,652,974,846,903,580,811,249,564,714,738,781,348,130,191,
247,179,079,924,148,210,582,767,696,415,857,299,009,750,366,339,994,170,587,
866,884,711,120,520,080,363,761,837,774,109,854,782,438,365,780,329,436,898,
239,322,549,769,320,618,169,165,042,132,476,141,603,033,517,049,771,881,691,
273,128,309,689,271,228,080,914,027,823,259,181,534,271,645,123,111,205,797,
498,957,933,312,164,088,180,321,668,467,945,085,265,859,647,000,606,954,713,
945,336,623,500,196,750,950,183,467,084,337,597,515,693,575,084,144,494,877,
663,607,245,128,349,681,377,378,666,512,937,755,553,778,563,782,077,219,808,
860,261,955,228,250,585,639,575,335,602,864,165,474,582,005,951,077,045,344,
519,800,488,864,687,296,548,354,996,980,291,072,930,602,934,730,407,297,863,
277,085,292,671,812,844,955,411,701,264,918,427,659,078,847,296,329,801,509,
761,711,445,813,663,471,988,152,604,545,401,922,969,108,573,614,071,841,265,
299,764,455,723,726,102,314,457,088,112,739,196,078,858,952,337,885,430,634,
668,976,316,380,872,470,772,895,024,543,346,716,634,712,698,700,300,693,409,
025,167,186,763,757,618,094,455,311,165,891,991,723,388,829,740,900,232,912,
331,870,303,017,864,671,166,307,315,944,295,719,897,378,056,937,074,059,776,
107,951,177,590,893,060,863,849,901,402,517,555,461,410,159,810,480,869,352,
235,071,838,018,787,443,891,364,357,649,786,658,832,290,945,460,229,051,930,
722,167,902,238,172,798,520,480,688,446,257,300,631,644,740,809,862,637,502,
708,135,251,579,193,669,627,345,394,467,901,536,141,758,113,843,760,240,890,
304,723,584,402,939,737,027,257,594,859,473,239,022,976,349,270,789,180,295,
584,888,424,802,787,993,781,724,366,269,936,366,541,080,413,676,222,085,450,
920,924,981,794,895,002,052,736,497,186,617,272,087,149,407,995,624,665,504,
485,698,161,604,246,065,582,306,196,361,579,478,942,679,511,774,661,353,203,
765,351,564,592,929,922,830,991,441,400,535,373,573,614,252,541,347,369,378,
304,895,987,317,146,421,834,230,746,909,677,118,748,439,584,298,892,488,036,
031,978,035,429,582,145,143,985,646,578,875,935,627,303,875,154,532,842,837,
756,672,607,074,319,470,413,649,266,193,098,646,510,650,296,643,944,857,588,
522,190,844,461,181,370,968,350,383,529,096,851,508,594,298,433,822,920,701,
705,948,791,266,867,107,050,210,004,362,229,933,055,893,571,984,659,212,714,
124,580,795,806,865,388,206,768,141,582,884,247,119,056,001,801,146,672,642,
859,830,817,259,613,563,855,289,285,248,723,246,232,100,819,874,165,310,434,
210,642,830,497,545,901,309,665,487,346,057,641,223,841,454,911,417,118,732,
538,130,433,724,129,253,526,697,383,747,068,337,377,186,795,544,319,010,144,
963,891,772,192,061,793,438,026,471,525,536,135,634,474,204,190,733,858,744,
367,174,693,521,728,701,913,232,674,645,972,655,643,464,828,250,344,253,495,
074,154,534,846,961,695,117,951,449,375,239,696,100,779,469,557,790,727,330,
458,466,830,398,560,988,626,801,873,348,810,304,680,582,969,490,035,902,573,
097,167,887,729,677,708,355,880,431,929,848,798,817,327,272,964,043,161,652,
121,440,157,202,736,525,617,638,458,924,750,929,723,173,171,406,923,710,338,
752,917,365,533,538,469,678,131,402,804,301,383,960,585,327,106,845,841,388,
373,918,474,104,570,377,498,402,722,169,059,083,465,652,137,750,596,222,187,
884,708,819,331,075,519,673,932,035,795,010,355,666,704,931,952,011,349,113,
107,737,956,519,496,160,983,131,611,513,998,863,252,408,267,951,836,867,215,
364,917,816,255,910,685,920,305,007,806,526,235,654,437,803,337,092,474,728,
651,622,821,399,176,022,858,370,505,460,154,897,285,068,093,125,907,432,297,
555,629,320,706,581,286,166,359,509,019,645,408,423,406,886,416,835,846,594,
191,780,341,357,562,147,865,067,992,793,767,053,529,483,667,308,568,618,347,
119,451,837,389,698,552,769,068,092,379,288,120,720,322,293,270,953,288,580,
494,353,744,721,222,479,636,912,585,895,824,226,777,422,001,664,869,155,069,
350,412,267,933,638,561,736,171,068,514,237,916,418,083,691,931,106,833,400,
929,346,696,054,558,125,230,654,573,877,601,075,923,752,497,667,962,199,843,
067,007,226,910,794,954,186,971,098,926,421,302,578,072,561,857,792,797,269,
657,554,374,835,197,522,439,009,213,153,337,001,682,543,554,176,064,649,957,
118,428,559,379,299,328,185,974,257,999,742,961,030,983,852,864,190,084,806,
133,429,072,065,729,369,273,660,291,184,401,654,391,246,243,965,622,080,009,
881,078,160,441,326,605,091,765,067,630,982,338,759,808,618,418,682,201,246,
703,238,787,517,381,657,548,082,130,079,877,110,836,072,386,758,108,687,548,
857,293,414,249,289,061,721,606,083,413,075,885,132,987,505,235,162,080,561,
608,107,836,012,650,360,367,949,008,417,804,025,780,651,520,284,381,597,091,
654,594,870,441,957,713,329,877,576,302,074,886,026,261,183,331,388,356,049,
355,864,402,776,698,128,264,950,528,467,677,294,234,521,930,996,439,642,057,
172,153,417,622,566,126,007,026,237,126,099,592,289,220,738,892,635,266,575,
461,086,531,926,065,568,725,058,644,022,897,726,815,159,760,205,905,553,389,
923,176,064,000,102,725,686,861,481,953,711,342,510,811,739,971,729,045,333,
102,652,328,898,589,400,065,425,441,512,386,986,703,312,315,858,606,702,419,
235,383,042,441,167,667,543,677,828,325,056,155,742,136,176,249,020,165,056,
283,165,875,451,054,430,136,148,398,857,762,869,042,290,510,677,975,401,910,
874,302,721,656,360,212,644,288,273,155,756,778,260,496,498,683,655,417,840,
627,400,384,771,888,837,608,029,157,487,992,791,367,745,796,145,638,241,277,
291,062,252,428,273,438,168,015,785,671,432,501,077,500,657,783,352,179,932,
965,663,292,107,182,033,638,022,039,672,778,271,917,280,237,106,926,377,507,
598,080,042,486,724,964,693,292,529,451,300,047,749,263,254,103,254,387,036,
385,719,486,572,882,445,924,003,786,818,840,031,701,121,275,486,071,185,283,
342,695,176,443,412,737,080,369,098,301,452,820,384,066,257,685,297,607,846,
667,038,059,507,199,705,933,314,363,524,113,311,241,001,480,714,188,742,281,
104,269,175,666,743,756,827,275,920,001,600,790,757,838,773,270,351,212,646,
999,104,437,100,375,392,748,589,810,897,035,349,636,685,729,488,409,746,857,
353,995,898,437,983,054,620,822,159,065,972,765,193,866,643,314,825,727,443,
140,719,833,034,964,229,696,019,123,299,633,676,786,972,498,587,560,507,458,
839,875,210,168,696,413,974,935,833,343,283,192,907,756,050,283,133,290,244,
033,032,477,845,751,370,605,111,614,881,662,260,308,878,497,561,647,607,556,
839,515,727,815,711,439,824,224,003,420,221,934,358,346,455,389,125,087,222,
717,020,559,627,171,259,457,431,829,466,238,585,277,078,869,692,504,411,197,
713,226,546,408,313,628,624,990,171,935,422,499,565,931,370,791,607,684,179,
858,645,295,196,175,195,349,961,443,296,039,190,716,166,546,643,457,406,917,
149,062,621,588,542,873,538,375,428,182,833,093,039,628,856,624,234,120,952,
263,220,793,007,554,124,299,742,322,023,131,934,487,343,320,722,219,408,663,
571,332,440,666,160,481,749,462,504,129,233,118,011,075,632,713,823,575,389,
921,020,091,159,564,455,865,178,444,907,891,390,320,947,391,774,079,148,495,
016,312,156,769,045,076,367,091,508,118,369,593,950,885,134,002,757,098,127,
849,866,247,712,925,188,158,370,998,178,503,108,495,600,199,178,531,156,202,
899,431,059,120,083,541,439,134,710,034,972,843,365,970,797,375,824,063,658,
903,819,578,990,941,637,275,391,295,202,598,479,931,444,257,449,806,284,769,
769,375,689,997,929,904,879,794,299,192,468,114,478,413,307,637,238,097,322,
038,782,951,560,878,091,398,422,814,242,198,148,580,060,325,981,366,979,456,
860,846,018,973,993,850,554,122,481,660,946,047,415,141,473,963,272,007,631,
952,127,867,694,263,358,681,456,393,532,215,401,448,604,983,393,285,474,780,
651,013,295,281,582,656,136,372,374,923,466,109,712,392,046,557,158,278,711,
882,880,718,270,761,973,462,566,729,982,724,986,308,645,094,754,391,029,893,
643,376,404,352,670,726,293,654,202,228,543,203,121,326,510,909,299,571,951,
966,149,148,042,201,613,620,411,869,365,608,869,316,183,732,835,768,505,885,
363,077,184,982,385,214,237,764,221,506,971,000,729,614,661,280,403,345,237,
954,700,957,385,476,009,708,097,226,250,317,299,807,539,785,240,174,390,104,
756,469,412,853,950,596,913,868,188,091,721,921,301,454,303,792,173,829,838,
903,339,965,296,004,288,575,354,704,958,432,020,614,690,998,810,926,267,910,
426,924,744,414,660,522,554,732,297,505,645,101,821,653,081,153,284,588,409,
788,767,404,448,939,652,185,161,501,718,376,495,999,585,625,744,207,475,932,
855,907,977,765,325,044,865,983,301,978,506,535,386,800,237,149,654,765,349,
959,299,798,659,526,633,823,331,953,297,222,944,747,189,885,182,359,484,379,
709,857,895,795,304,291,160,228,141,892,344,993,128,930,080,510,762,804,719,
686,376,583,030,962,458,745,730,703,847,976,299,591,081,258,341,609,784,852,
804,848,906,795,939,625,206,159,093,004,998,772,939,015,636,407,612,982,667,
605,713,483,449,727,585,171,668,581,947,859,443,222,655,641,971,254,294,914,
459,432,252,152,213,766,213,647,031,253,368,924,249,495,168,283,252,363,903,
785,909,105,608,246,900,975,377,000,709,182,417,466,642,215,889,950,538,474,
042,056,869,827,887,639,831,689,271,456,020,317,469,972,112,335,999,994,024,
760,681,985,011,935,131,109,319,039,795,903,464,022,646,235,055,778,591,738,
363,540,961,187,669,755,307,565,222,363,821,258,634,037,644,296,888,095,521,
759,802,891,908,069,607,431,233,797,396,955,814,802,786,861,657,024,971,839,
755,794,954,602,526,389,975,566,232,999,415,553,299,500,540,108,169,553,130,
035,418,366,938,422,130,224,274,816,906,306,109,164,000,525,320,608,075,742,
410,944,666,699,213,193,309,620,179,776,562,416,524,778,224,848,838,632,811,
799,007,767,355,438,761,228,085,745,566,596,318,993,537,061,603,355,419,753,
801,784,145,498,530,769,126,691,562,994,580,889,140,529,084,217,243,494,579,
731,951,278,751,840,611,968,651,792,394,896,918,119,647,951,799,909,239,055,
211,099,036,948,482,306,459,638,961,606,202,822,473,503,564,187,079,134,253,
108,438,961,873,040,382,263,753,473,727,559,255,703,283,720,677,107,206,539,
553,368,153,171,037,661,023,131,311,554,972,470,528,124,430,620,492,424,577,
016,344,101,347,224,585,483,366,328,355,125,693,896,769,550,223,411,444,084,
255,585,282,184,678,375,532,620,483,099,018,883,915,570,456,456,304,874,263,
741,895,452,060,570,217,472,035,985,931,502,520,741,640,992,268,688,679,153,
803,673,617,713,678,683,684,646,114,354,617,020,432,220,976,453,544,462,284,
057,803,389,151,053,837,199,667,366,852,095,848,778,525,690,912,895,154,080,
759,674,476,838,241,152,977,925,175,014,920,416,067,116,240,440,803,876,286,
275,606,348,910,018,450,079,888,388,234,471,240,483,067,754,690,761,582,352,
676,761,414,602,408,561,684,023,949,211,367,349,277,897,554,726,283,569,301,
258,614,982,949,684,931,991,798,696,884,207,331,255,137,699,552,866,872,752,
075,244,614,188,003,125,930,369,476,646,015,194,429,978,982,316,365,679,621,
270,900,186,783,603,036,446,668,804,070,267,712,397,393,257,894,736,122,505,
979,193,524,634,362,590,440,183,764,493,053,435,179,740,571,451,422,359,299,
246,854,452,352,161,658,886,901,469,535,478,282,117,139,822,850,936,113,083,
310,213,878,321,257,800,810,965,231,394,265,613,900,078,667,512,699,129,080,
525,683,325,730,163,217,151,885,253,072,968,308,482,600,952,884,592,259,499,
026,349,350,014,683,296,666,560,505,230,705,980,198,328,007,958,112,242,674,
996,705,151,509,591,846,656,013,916,574,359,961,952,266,486,765,858,881,840,
546,677,978,435,468,293,649,915,946,525,363,497,526,483,106,591,658,438,132,
748,080,255,714,197,924,163,688,538,000,126,315,503,996,481,321,474,357,985,
410,478,530,506,120,829,170,421,718,112,496,937,476,890,903,538,147,332,606,
324,497,120,852,333,245,427,583,063,862,024,557,145,097,925,034,898,570,512,
718,396,918,354,831,058,336,914,813,106,900,130,151,817,488,373,541,635,271,
654,017,599,134,613,062,312,549,575,510,124,631,201,839,900,939,390,670,702,
438,096,562,634,542,135,943,136,495,869,068,191,172,967,561,314,737,409,235,
359,914,061,088,256,688,070,081,109,856,926,040,116,353,540,849,994,559,159,
332,267,881,215,615,333,580,696,728,627,095,727,309,311,819,417,125,655,127,
252,855,774,361,887,413,426,563,738,840,528,011,016,897,790,735,228,796,356,
663,504,774,084,138,052,595,809,998,495,172,043,542,200,360,161,891,370,748,
982,345,046,617,330,724,314,399,030,402,505,049,262,965,608,070,528,172,587,
038,373,262,320,222,282,657,146,017,761,734,144,595,249,085,874,676,252,204,
296,668,449,574,106,381,457,510,447,255,572,570,681,456,472,332,491,231,936,
241,218,132,152,829,627,864,157,281,545,119,429,127,547,147,266,323,435,605,
681,421,518,947,248,052,052,745,516,648,854,053,087,164,563,133,579,940,713,
143,178,786,099,369,825,837,335,901,673,115,383,283,012,901,969,785,626,480,
580,936,162,174,294,947,849,292,320,426,151,749,573,657,260,119,217,691,007,
093,318,847,006,993,222,586,216,416,570,107,012,416,171,905,218,290,742,414,
248,529,029,521,278,210,847,585,001,719,327,721,454,467,282,377,972,385,387,
429,503,905,564,333,339,151,584,837,637,966,741,249,615,710,544,989,855,470,
679,505,193,655,379,589,468,733,690,034,422,392,763,887,168,634,777,364,235,
946,114,317,273,044,844,545,063,754,572,400,429,111,066,595,624,625,471,753,
055,849,764,040,858,240,555,152,396,366,871,112,428,051,770,599,474,669,169,
358,150,765,897,258,369,721,459,192,359,881,918,286,480,669,496,324,026,002,
391,984,401,716,866,102,934,820,983,324,902,303,464,822,505,048,290,272,799,
217,490,621,196,917,170,603,668,521,603,951,924,083,895,280,251,537,395,291,
616,897,023,670,809,674,045,265,227,144,402,033,785,065,341,106,824,674,775,
184,481,022,057,835,175,767,383,115,646,694,615,097,127,306,414,690,722,917,
403,393,260,123,198,996,112,947,049,108,905,192,981,749,761,131,108,513,886,
844,123,508,444,434,065,974,656,036,290,290,716,858,544,581,429,570,542,235,
095,238,801,348,986,155,668,334,959,060,922,044,127,932,634,819,282,206,140,
361,303,063,806,015,485,816,462,921,211,318,615,988,714,035,859,344,310,143,
663,345,434,437,952,608,615,870,332,713,003,539,604,489,979,138,339,722,948,
457,637,953,684,041,609,492,274,094,145,325,861,433,876,782,304,049,802,162,
990,468,480,675,430,418,912,745,142,209,187,409,705,787,739,921,455,528,202,
610,082,881,718,347,146,766,882,878,576,080,726,062,757,506,011,611,175,200,
223,739,767,229,753,268,624,986,876,447,361,543,644,072,483,822,318,832,276,
013,499,785,184,178,233,399,565,953,458,240,504,917,888,077,193,591,092,226,
691,227,742,024,200,122,294,084,716,739,079,618,427,146,781,659,142,272,483,
784,016,095,704,233,499,124,049,857,556,315,201,852,904,074,712,574,890,154,
067,299,218,421,464,290,871,441,141,588,216,873,405,035,000,232,016,160,076,
363,523,253,597,443,633,845,443,849,924,123,445,219,575,233,625,711,391,343,
374,611,116,265,760,481,436,323,551,119,803,306,482,936,408,944,280,516,365,
188,818,845,528,761,118,650,171,088,118,800,569,828,442,752,567,836,867,556,
305,810,646,016,971,839,162,607,381,121,876,857,205,788,574,276,176,195,088,
270,059,093,394,657,773,512,270,013,746,457,359,285,831,459,950,724,270,699,
802,360,806,528,529,596,663,154,681,852,684,449,669,928,716,587,300,780,076,
910,936,990,320,763,752,443,038,900,389,095,418,391,565,750,840,120,210,814,
283,624,640,239,855,582,857,605,538,007,147,264,170,643,354,595,964,782,385,
894,275,429,719,182,115,891,082,242,114,639,304,345,697,854,032,798,551,721,
144,276,756,295,776,724,777,191,563,167,473,435,225,385,226,445,252,747,019,
145,698,427,240,837,662,103,767,963,463,315,563,502,158,687,036,345,340,964,
031,774,633,225,826,581,237,822,008,699,824,317,270,017,723,823,779,507,059,
844,400,954,247,447,195,511,640,747,559,175,801,516,841,018,255,982,876,947,
435,328,505,051,194,417,506,336,147,589,983,039,299,473,472,740,929,246,834,
273,372,103,563,397,333,505,327,348,079,360,070,732,655,161,256,937,792,029,
524,234,945,643,408,844,504,762,707,878,934,414,262,603,842,216,026,494,404,
211,092,293,262,425,920,735,134,434,319,663,222,023,873,320,044,651,299,922,
899,854,642,239,938,568,490,684,994,506,975,373,381,681,896,911,088,931,391,
957,546,507,112,496,422,561,360,756,970,066,687,942,696,633,793,096,176,032,
947,524,180,292,752,672,526,692,228,046,597,488,891,071,313,293,183,865,718,
518,689,120,132,786,177,745,837,176,814,802,426,296,755,175,060,932,520,079,
177,631,176,657,426,595,082,923,943,962,289,903,167,620,925,125,998,460,495,
193,242,682,078,802,565,386,034,694,078,088,932,459,245,122,945,029,747,572,
885,104,351,956,470,429,397,023,809,300,382,328,163,372,492,234,939,459,193,
124,129,098,262,089,013,180,437,244,697,100,965,618,370,628,457,163,401,573,
638,171,150,302,379,714,368,933,762,106,115,947,818,306,303,139,741,040,277,
105,750,958,685,247,415,558,421,892,032,331,254,951,961,158,206,508,485,635,
194,394,329,698,699,175,015,739,635,087,526,716,531,232,626,591,903,828,520,
499,420,662,938,725,488,638,628,989,815,877,973,504,858,022,976,170,090,184,
379,568,934,282,464,111,340,683,791,414,342,218,545,751,512,564,960,800,285,
000,602,300,647,000,280,481,663,663,941,312,490,178,995,913,564,015,474,853,
809,460,561,896,042,217,724,892,556,791,359,682,415,934,216,887,907,306,572,
170,414,735,946,975,311,986,981,994,145,341,406,493,496,042,728,014,792,392,
477,651,696,887,401,321,394,514,952,678,225,741,048,332,871,257,976,137,574,
052,703,881,022,602,586,975,584,209,466,102,028,062,282,929,138,815,166,452,
770,629,387,820,485,275,685,171,154,058,222,735,763,549,986,323,888,078,283,
369,562,732,657,822,650,492,292,409,739,733,075,763,555,350,165,478,961,649,
018,351,428,189,569,662,022,788,628,122,273,055,240,891,841,580,474,836,201,
063,567,191,716,044,257,896,204,617,030,343,942,629,636,745,070,347,610,734,
015,352,681,581,211,370,706,430,340,576,112,196,908,411,034,967,143,437,047,
226,510,695,994,146,764,882,909,541,367,520,156,284,792,711,896,101,732,983,
486,314,088,694,632,169,372,623,097,516,606,528,372,134,439,555,565,710,690,
770,550,866,549,465,754,580,840,860,092,797,715,393,478,270,698,277,323,412,
281,201,394,930,399,714,663,669,039,971,925,716,087,315,695,208,557,401,634,
497,534,166,541,839,955,934,360,910,407,020,953,180,756,036,455,372,153,927,
640,271,645,534,114,885,556,135,454,878,027,986,651,377,944,317,714,837,066,
060,928,888,831,981,315,877,367,519,928,604,683,404,678,227,347,431,047,325,
814,701,618,197,726,409,896,995,877,574,024,583,854,739,650,755,263,503,073,
569,813,900,848,536,868,420,385,409,378,562,509,152,009,811,070,119,719,263,
051,503,459,327,775,987,784,783,046,694,709,657,776,279,067,529,776,334,322,
697,253,074,830,899,430,004,149,138,405,533,629,166,201,329,631,299,595,273,
561,718,750,188,885,883,852,880,013,582,538,232,859,586,599,080,573,544,824,
331,782,014,379,955,057,510,650,215,079,609,843,800,755,389,129,262,737,975,
258,975,992,218,414,382,927,858,292,143,751,370,058,831,525,471,708,063,138,
786,996,518,427,267,833,900,177,604,020,287,404,402,170,148,382,708,073,091,
864,992,108,185,034,113,313,634,154,196,052,302,005,224,361,882,597,704,774,
233,828,327,940,512,039,936,862,130,376,462,174,337,262,784,339,558,500,228,
838,395,521,839,668,509,845,330,301,163,037,094,727,611,474,220,639,607,239,
393,546,101,843,342,512,999,636,026,113,979,196,215,193,711,726,348,776,140,
721,772,656,807,208,755,556,506,172,722,538,253,099,689,953,919,651,284,868,
122,205,274,218,205,166,574,425,872,652,170,386,411,483,178,544,645,424,663,
581,225,686,867,212,465,604,827,258,929,395,274,764,976,948,673,623,453,147,
338,888,104,863,710,022,881,324,601,906,613,324,994,063,246,444,453,749,063,
097,749,786,225,795,989,150,096,490,075,834,089,619,246,562,884,134,179,162,
962,984,456,281,706,235,033,657,704,963,587,930,855,872,119,883,602,729,969,
589,768,151,518,810,008,009,937,876,908,734,554,111,871,834,063,923,278,686,
130,628,293,041,690,869,584,540,605,234,506,158,457,138,920,054,217,522,385,
658,203,518,077,398,155,218,966,793,228,105,456,698,108,736,665,721,862,464,
583,103,606,675,176,240,456,532,907,759,902,967,744,090,743,202,913,485,166,
521,310,507,174,352,884,278,788,660,031,162,119,247,579,342,566,512,738,939,
824,415,599,920,424,385,868,913,722,876,980,396,075,523,136,131,480,917,922,
159,022,451,431,058,838,057,844,479,773,670,597,777,341,643,582,106,888,139,
268,646,139,975,130,766,157,071,422,424,953,571,731,163,170,732,062,055,637,
549,760,184,955,706,105,030,998,864,688,161,130,869,233,073,863,076,091,048,
470,610,334,049,848,504,479,064,014,468,510,998,433,901,729,621,140,765,088,
734,628,774,088,656,692,600,883,760,260,462,354,907,465,165,065,560,727,904,
795,170,612,191,883,818,011,373,690,906,769,986,170,926,261,829,776,270,075,
707,126,434,388,345,491,242,294,849,548,872,472,216,480,725,612,812,163,424,
828,363,629,201,817,584,901,249,881,604,983,541,698,054,360,351,338,540,730,
398,535,604,291,770,745,397,690,647,274,958,892,704,320,420,425,916,658,184,
338,947,850,792,311,080,544,924,280,940,819,079,170,860,807,187,957,757,542,
025,078,115,387,910,554,735,163,828,698,821,428,156,226,129,841,312,298,205,
886,885,116,358,660,089,505,064,163,541,491,566,725,841,444,343,770,522,738,
789,777,806,122,053,550,627,610,353,304,005,607,301,008,759,687,109,139,425,
822,115,448,660,622,714,238,812,210,864,032,660,436,906,272,249,980,799,266,
156,982,515,048,720,034,961,887,977,577,447,906,131,854,032,232,442,463,552,
121,169,203,889,346,213,700,834,508,673,829,401,978,996,824,632,913,245,660,
936,318,964,775,441,051,057,303,667,694,900,030,192,844,671,389,451,769,710,
988,632,809,349,932,886,893,813,680,096,459,204,155,304,205,378,671,894,978,
207,490,054,134,412,588,194,369,559,620,816,166,984,312,139,604,299,479,207,
877,429,363,996,974,026,344,149,033,066,598,473,513,414,455,392,618,107,719,
241,579,253,220,977,203,500,619,131,019,657,624,965,503,925,678,646,426,810,
822,743,054,265,218,883,503,995,086,146,021,756,235,461,360,702,703,987,047,
870,432,261,629,207,959,183,390,676,740,377,241,721,513,138,272,945,753,480,
210,402,549,905,455,101,529,962,067,824,395,958,056,660,425,462,425,033,142,
522,221,722,137,102,770,248,273,876,429,087,804,898,522,890,520,986,601,047,
785,626,059,510,129,776,515,983,397,979,520,546,285,141,293,755,493,904,996,
779,102,747,697,238,954,580,074,698,119,472,456,737,141,505,119,422,575,903,
287,004,100,270,005,535,583,309,617,966,523,041,597,253,298,376,940,791,720,
006,378,197,294,801,346,489,520,373,156,853,278,517,770,498,464,388,100,807,
873,848,176,489,209,198,744,411,875,943,756,351,594,866,676,017,874,004,220,
734,800,379,628,869,757,921,277,035,199,201,315,826,956,200,269,369,699,759,
765,995,475,224,934,061,220,912,965,816,898,712,773,377,487,063,226,878,594,
356,109,664,340,030,487,675,505,377,409,995,590,263,437,468,306,313,822,526,
330,610,210,580,270,463,877,860,279,330,956,187,270,399,273,734,233,029,256,
906,772,903,323,667,952,028,481,823,809,037,516,460,425,042,871,589,448,803,
672,440,519,557,095,896,503,293,281,340,821,969,217,973,158,812,477,491,104,
458,944,715,547,392,137,152,252,967,055,816,019,515,192,557,191,572,430,654,
976,821,781,699,417,388,813,459,615,734,162,476,415,586,632,115,733,556,656,
095,243,389,791,666,118,074,420,533,778,692,732,247,917,177,414,657,532,378,
386,770,441,409,317,856,292,147,314,157,951,178,155,297,895,315,825,210,138,
295,280,101,522,448,839,215,147,885,611,150,991,189,384,411,008,117,861,535,
640,716,328,414,222,829,463,858,653,337,157,501,119,261,567,009,688,494,432,
323,888,645,709,883,084,064,518,536,369,768,488,704,948,805,601,232,407,492,
817,508,885,677,189,239,736,249,308,009,227,364,859,086,101,421,257,090,514,
506,764,580,533,704,840,809,956,862,532,303,032,197,640,228,228,213,104,973,
103,204,842,918,380,274,012,470,734,205,912,082,344,586,316,832,692,607,011,
669,442,890,080,202,623,558,979,191,260,442,747,504,435,963,984,479,088,643,
195,944,441,486,364,411,908,543,058,870,641,962,862,272,302,112,600,959,439,
630,061,809,125,456,942,209,794,568,566,498,450,899,837,007,659,742,336,515,
201,150,765,887,780,960,342,894,338,898,773,000,683,302,291,336,615,431,816,
020,370,142,601,105,908,741,268,444,999,337,645,860,070,857,471,396,031,891,
178,824,287,175,619,589,912,641,349,616,400,058,494,851,845,427,086,154,893,
966,580,566,432,748,618,468,678,402,939,951,259,831,524,338,023,240,930,719,
444,547,827,992,172,712,298,010,703,955,514,022,777,614,639,811,925,431,282,
643,927,167,917,382,940,475,369,030,367,780,697,968,936,755,348,437,077,687,
923,191,352,893,335,736,071,341,067,786,271,741,538,706,253,452,953,423,155,
050,628,351,380,264,534,308,287,773,651,745,248,044,360,310,632,182,506,781,
691,292,651,578,482,509,380,319,790,189,059,359,390,376,597,031,928,907,486,
763,080,619,707,020,504,029,645,261,974,683,918,776,878,183,252,467,623,098,
467,320,121,098,299,174,226,653,884,307,080,572,606,150,554,467,223,442,040,
732,236,198,308,189,094,501,926,987,866,941,057,134,758,728,924,747,360,019,
927,561,967,715,824,964,301,068,778,571,274,560,598,805,105,919,179,313,294,
335,511,629,536,653,162,632,807,031,042,803,321,614,359,294,460,066,692,054,
711,384,508,979,145,401,223,959,255,832,068,553,183,301,393,691,828,145,389,
023,865,739,352,689,469,818,837,774,062,924,714,292,345,116,114,071,796,456,
462,339,452,143,595,069,415,727,358,368,735,752,360,249,692,992,939,196,141,
028,988,511,679,493,140,554,157,196,510,388,471,487,430,491,442,476,765,159,
742,401,785,080,459,541,008,173,471,388,315,148,921,646,994,822,801,514,734,
494,667,086,379,985,235,913,638,844,973,045,258,457,267,676,812,511,307,721,
440,128,375,110,342,240,455,024,209,131,106,819,261,002,850,934,996,812,466,
312,264,351,647,978,732,357,289,237,462,208,727,261,609,681,186,669,192,683,
235,441,202,113,866,138,115,733,105,545,103,044,075,667,371,734,752,086,599,
084,835,339,223,323,767,325,210,954,151,409,998,613,640,914,253,421,482,224,
490,208,871,603,834,712,794,846,077,071,981,676,685,032,836,783,021,860,920,
084,385,221,010,760,187,768,457,029,333,635,926,933,465,814,345,997,014,486,
324,154,868,212,607,762,744,102,820,494,987,064,391,379,820,931,653,290,343,
416,402,446,746,004,739,551,702,818,571,285,878,298,837,467,599,330,945,507,
234,289,988,661,636,682,066,030,202,866,454,319,063,142,042,301,401,678,973,
814,911,248,830,258,318,616,416,579,330,410,117,768,740,167,839,739,290,484,
897,949,431,900,604,851,979,114,140,824,067,202,471,311,715,731,911,386,043,
022,350,797,349,028,281,849,532,978,648,695,494,492,086,656,811,425,354,520,
729,968,321,964,275,156,356,979,802,527,047,444,042,407,873,160,000,254,208,
758,591,905,794,155,792,697,200,241,520,129,823,990,408,925,001,423,411,364,
641,950,586,345,332,770,855,268,019,598,998,074,582,377,262,173,282,177,523,
315,937,912,857,798,202,199,023,713,382,322,932,806,976,488,615,605,129,062,
484,548,921,288,315,030,815,320,682,796,392,733,034,077,677,483,957,069,074,
149,790,719,858,286,560,462,753,081,607,824,283,260,603,019,725,834,515,700,
235,579,995,199,269,356,090,702,247,737,114,002,361,468,069,501,343,150,038,
528,513,071,449,772,346,749,641,042,603,977,374,171,662,050,753,194,551,689,
266,675,163,299,808,928,467,462,590,859,388,571,880,649,469,605,577,112,912,
037,091,326,176,926,161,460,882,909,374,311,182,486,476,833,659,233,573,376,
053,509,517,621,886,895,578,860,214,971,154,072,434,677,282,860,619,755,458,
899,589,974,292,908,452,823,601,004,977,742,506,387,057,727,111,261,700,070,
514,233,452,342,149,895,587,770,690,387,702,183,644,040,075,443,814,156,465,
931,704,235,087,307,860,169,428,444,375,798,276,035,928,493,729,044,626,052,
921,930,183,164,402,466,130,185,347,232,213,725,484,585,650,892,769,095,682,
629,408,838,418,129,267,815,445,089,606,132,786,589,575,818,971,244,953,789,
289,259,462,565,775,772,834,633,952,567,231,040,573,515,838,343,883,645,922,
852,990,632,118,772,425,474,368,267,562,753,834,113,022,555,577,658,974,031,
389,171,162,729,450,127,936,466,497,369,489,285,573,557,121,691,857,322,726,
309,874,015,496,425,404,294,374,454,852,242,902,802,729,329,972,846,927,663,
234,904,540,590,292,019,690,738,720,603,533,936,463,489,447,596,661,975,127,
592,742,219,706,668,418,320,570,272,600,385,099,949,003,119,689,310,543,874,
319,683,983,299,436,381,944,826,029,428,974,229,389,310,421,895,044,189,822,
764,173,067,693,157,317,803,898,363,415,385,615,701,222,912,913,048,634,170,
411,996,538,784,284,954,190,476,323,708,468,499,242,641,885,013,287,333,047,
536,972,756,446,250,622,674,292,431,916,066,342,928,163,726,496,876,251,452,
074,773,831,146,204,037,077,858,556,739,566,642,949,981,183,978,959,312,049,
128,231,202,843,325,591,063,871,949,105,956,380,775,475,297,578,998,906,048,
562,800,291,677,813,890,722,434,164,490,537,828,349,910,659,422,329,095,600,
614,056,850,058,830,337,807,018,956,598,938,524,755,359,305,092,735,381,423,
265,168,027,685,419,617,464,277,621,298,805,301,263,669,825,466,248,749,306,
034,767,241,508,239,900,126,075,144,383,920,044,779,330,678,031,731,653,650,
452,679,339,839,611,873,375,363,197,731,762,758,319,718,717,890,074,150,044,
035,861,256,182,962,102,723,157,719,099,978,571,284,352,477,113,122,286,194,
587,376,997,916,998,189,840,388,165,449,229,881,139,537,032,929,516,699,031,
634,458,389,674,071,878,797,565,829,805,837,854,420,550,833,661,978,831,371,
490,256,504,771,274,592,155,703,834,364,802,346,004,269,314,423,990,247,442,
042,954,626,857,483,830,044,737,087,507,659,777,094,184,365,611,894,415,653,
872,278,825,608,369,626,418,796,358,655,755,258,263,739,146,614,378,348,204,
215,445,152,139,751,630,637,466,233,028,139,051,903,277,376,642,358,773,294,
392,815,275,717,712,083,485,353,282,924,021,490,048,522,396,130,492,254,617,
009,437,702,423,384,866,748,921,888,046,974,627,473,862,011,593,324,000,057,
001,216,354,640,873,699,148,157,648,476,166,499,112,041,890,822,832,100,797,
339,100,277,220,559,543,496,562,614,830,622,246,445,757,824,523,270,760,377,
807,252,527,130,621,774,287,710,631,308,504,559,081,227,459,738,671,808,806,
262,136,013,370,273,306,220,620,048,359,703,733,404,433,952,129,067,041,562,
990,765,295,454,172,308,863,183,982,920,156,688,577,988,129,630,060,874,033,
531,719,790,086,475,776,907,881,234,062,011,195,287,696,417,027,127,067,081,
324,532,472,264,317,914,870,093,102,804,293,080,098,373,678,695,109,795,501,
479,996,606,159,478,172,353,019,519,473,170,668,984,430,758,548,964,122,120,
839,257,962,519,757,254,295,766,329,707,851,238,942,269,324,275,220,052,257,
773,787,446,637,146,985,468,442,285,140,847,234,974,507,561,063,578,545,664,
738,058,069,466,293,606,653,547,206,865,544,713,882,036,551,670,100,886,509,
393,595,924,990,100,450,493,016,318,257,225,359,422,178,505,726,790,582,564,
351,707,694,816,927,566,790,510,434,748,233,231,491,339,220,903,618,920,478,
389,290,133,182,828,833,839,431,474,136,323,183,500,571,010,773,022,533,585,
936,245,018,514,872,576,248,335,935,034,212,642,291,713,771,105,870,743,759,
521,552,053,582,016,563,867,543,733,058,830,496,993,767,557,306,824,066,261,
069,560,648,206,090,265,946,173,273,385,006,292,339,328,616,691,811,376,339,
713,422,152,947,355,790,981,749,861,254,648,696,886,050,737,251,977,529,223,
855,631,339,523,670,213,074,125,234,200,370,461,244,049,224,265,676,138,556,
006,900,696,600,801,236,716,974,352,604,164,904,827,922,827,533,725,665,619,
351,812,480,704,696,947,047,249,249,143,151,842,495,208,199,779,010,802,408,
704,180,487,618,959,559,068,808,811,937,062,407,543,548,575,226,612,061,544,
553,633,855,233,208,345,680,727,469,769,483,529,440,033,253,845,115,624,572,
949,931,091,766,324,126,277,451,978,335,981,754,987,718,167,751,562,943,405,
568,588,161,423,655,066,745,287,768,321,681,736,484,738,652,967,781,893,156,
510,650,277,254,203,310,733,792,800,705,552,073,187,715,378,201,560,404,353,
895,967,454,622,755,208,778,594,489,436,605,466,279,064,617,285,822,502,146,
992,923,086,645,431,963,198,705,952,684,538,892,254,396,572,978,974,185,311,
336,857,486,212,163,097,096,537,311,158,985,649,228,686,025,474,942,590,762,
009,584,861,869,508,394,371,395,936,918,017,468,463,127,960,612,006,795,438,
213,220,920,630,950,032,574,839,214,621,652,624,157,399,275,788,369,592,456,
262,435,858,945,687,534,524,106,165,439,025,551,483,520,285,914,908,272,111,
257,344,405,423,654,755,630,318,791,750,958,308,554,950,235,209,370,996,792,
232,681,360,788,115,990,089,579,135,821,319,307,708,467,194,864,629,540,550,
025,679,797,390,751,006,412,665,433,665,519,207,620,459,274,846,651,462,918,
704,001,708,634,332,564,617,004,971,347,116,711,733,965,277,744,603,456,172,
770,380,574,094,354,487,390,691,683,672,669,300,282,221,945,468,243,755,662,
190,187,674,253,512,515,332,083,159,237,599,885,975,291,615,284,039,568,183,
663,501,476,718,577,011,484,136,311,947,453,085,031,606,357,714,127,899,037,
271,834,302,457,386,514,117,706,946,388,442,481,088,237,822,483,197,120,042,
900,814,903,884,239,803,874,531,685,679,391,016,755,904,901,885,516,777,955,
760,187,795,396,218,460,060,504,693,664,268,171,447,086,058,270,318,650,411,
930,391,124,813,501,638,714,454,168,812,710,807,133,011,403,940,044,842,013,
516,024,384,993,653,241,947,810,870,190,955,543,304,800,411,482,259,204,236,
313,656,537,420,572,940,009,900,427,664,492,600,728,067,280,753,678,891,929,
316,396,051,287,479,478,020,372,299,681,194,475,748,754,943,247,120,257,086,
014,549,829,153,396,432,427,447,881,222,005,904,880,597,408,902,560,141,927,
999,896,372,044,560,651,434,684,156,065,572,245,657,752,386,767,110,413,021,
126,356,778,469,610,583,706,827,897,180,720,418,784,621,702,774,565,809,396,
008,125,103,814,813,497,735,875,664,444,236,089,697,160,779,889,804,251,695,
802,650,601,536,633,738,347,247,186,099,846,340,113,688,561,833,190,352,620,
872,807,212,000,872,615,926,567,697,159,655,623,364,340,498,171,422,033,672,
686,982,811,486,256,550,919,222,086,806,261,708,888,447,485,203,390,746,338,
868,194,045,747,891,217,370,025,789,430,471,454,297,081,474,362,392,345,079,
032,892,327,398,720,001,141,325,124,594,001,772,148,870,857,509,830,959,711,
733,367,110,838,773,091,083,488,991,204,789,212,667,507,743,213,540,674,051,
652,570,093,113,970,122,031,288,689,015,602,972,982,296,634,218,791,036,761,
637,330,974,624,970,668,260,587,177,693,649,772,293,491,221,063,307,030,353,
975,072,004,369,004,719,654,719,240,953,061,698,426,198,155,346,997,024,141,
751,932,733,638,923,056,521,319,675,244,470,061,099,478,360,840,988,194,132,
764,800,327,942,840,270,204,200,287,976,848,715,420,342,569,163,275,960,832,
253,562,926,201,462,288,505,793,460,297,853,911,690,743,700,171,167,664,713,
798,193,660,095,687,244,401,903,500,135,461,996,041,667,364,377,980,892,922,
381,677,225,889,653,267,815,314,493,329,318,935,704,716,603,951,389,759,250,
237,548,806,186,254,377,460,932,113,746,789,408,821,363,524,493,529,788,377,
045,926,823,636,821,696,291,967,920,479,263,570,352,523,473,368,575,795,267,
512,030,817,552,162,346,798,656,901,235,777,556,188,597,737,970,177,928,981,
868,300,603,463,674,250,105,220,417,877,687,627,897,153,776,075,041,858,463,
478,567,781,878,259,113,641,819,727,294,769,792,337,521,086,510,120,622,902,
577,087,601,345,247,547,351,049,889,549,278,886,097,667,612,073,161,621,453,
746,497,015,448,833,593,800,564,289,950,972,570,467,846,601,575,477,880,883,
518,161,891,907,477,447,865,297,049,411,869,353,642,418,012,345,868,074,215,
909,446,455,718,625,469,491,295,538,295,977,799,111,601,940,183,007,390,049,
472,093,195,912,941,351,392,778,304,354,528,064,890,888,155,755,286,645,113,
638,447,295,715,536,117,267,480,231,873,744,820,761,677,692,136,820,940,996,
225,926,925,189,250,923,836,335,077,981,302,071,820,346,698,805,388,937,058,
795,498,602,237,609,485,623,840,104,024,964,178,542,147,083,022,137,286,277,
077,396,200,406,875,026,542,245,080,974,419,345,977,957,601,294,161,786,829,
314,826,859,736,733,836,730,329,055,118,947,364,576,681,009,740,616,643,335,
286,432,693,666,504,897,462,563,810,864,718,246,622,949,480,415,498,543,764,
133,791,183,958,301,194,025,672,183,769,896,138,867,238,514,340,079,928,302,
311,807,045,799,803,812,829,857,578,584,567,788,848,224,483,855,376,620,033,
604,291,363,821,662,806,951,970,286,986,773,312,878,952,183,244,362,374,721,
904,251,750,491,626,646,291,955,577,521,914,662,649,232,277,264,375,694,021,
298,290,669,054,630,586,010,503,698,916,510,398,215,802,386,994,855,428,719,
744,513,038,929,434,453,299,700,989,248,272,868,388,286,369,784,455,781,731,
419,847,460,311,647,304,868,252,179,059,838,570,077,541,622,003,187,719,713,
200,990,335,993,799,081,996,200,131,535,714,056,678,213,797,709,014,184,748,
448,919,210,583,629,616,168,863,241,896,833,448,480,567,283,513,914,067,867,
558,876,102,034,779,065,113,448,431,616,861,499,665,924,023,112,601,139,410,
906,204,295,690,137,632,431,697,853,614,641,089,889,187,754,300,668,264,596,
389,605,723,057,766,966,936,525,753,112,021,095,416,992,296,180,869,670,790,
869,390,893,103,609,653,422,771,347,125,043,142,300,686,837,161,391,358,404,
166,669,927,206,149,391,749,877,716,271,240,607,349,206,941,371,181,437,520,
898,091,212,267,276,964,687,006,372,435,075,589,303,349,440,959,335,478,646,
449,896,966,769,722,192,802,121,980,350,632,262,977,288,347,820,632,515,736,
654,701,558,304,659,200,919,214,997,243,031,820,349,340,217,709,945,824,769,
909,215,274,863,228,274,020,179,292,775,032,433,642,947,584,316,503,438,889,
643,842,938,179,855,999,120,864,380,683,660,314,892,125,549,878,952,936,658,
402,516,930,567,326,845,693,827,583,613,996,705,320,910,775,290,958,609,029,
579,681,050,928,184,507,372,099,176,033,574,954,532,262,988,121,409,370,230,
694,652,186,561,749,492,655,684,531,229,237,209,297,587,705,755,681,516,688,
885,135,240,683,344,258,714,417,303,265,745,901,685,943,961,130,699,941,108,
182,212,008,894,860,372,707,172,742,873,525,616,138,066,000,916,685,772,709,
396,285,487,510,057,098,977,409,838,968,955,574,983,935,349,162,424,793,685,
392,674,159,494,546,452,966,787,237,252,843,941,064,060,241,099,492,651,403,
580,032,836,321,107,399,786,143,794,348,538,706,257,288,783,634,275,081,896,
656,068,840,055,838,810,452,868,384,391,057,267,082,223,739,640,641,364,878,
696,098,244,737,294,252,559,017,879,046,031,681,731,799,772,920,082,295,692,
961,884,985,889,564,041,128,473,985,127,667,247,751,543,472,280,863,219,279,
927,937,445,832,060,054,525,195,619,373,152,953,626,081,363,213,203,363,663,
831,402,331,397,121,817,103,500,030,102,526,230,530,487,971,883,774,224,426,
507,040,501,212,121,065,298,219,588,179,747,490,866,342,029,515,280,866,291,
419,316,551,736,707,471,144,310,224,596,835,711,837,719,954,933,126,234,984,
768,837,915,609,428,398,702,484,891,028,292,077,608,388,227,988,640,312,542,
221,398,934,585,052,242,296,406,038,346,386,225,543,542,794,222,066,647,638,
214,088,332,531,245,436,716,800,977,887,531,768,730,371,448,380,827,973,375,
070,502,336,645,128,611,598,324,609,968,035,881,784,339,808,778,062,475,561,
811,423,992,498,661,847,824,834,949,937,134,508,148,281,395,160,594,205,832,
467,004,816,354,147,827,555,412,583,146,184,710,664,660,184,820,823,858,652,
781,983,905,169,950,914,358,328,324,328,254,681,318,039,196,819,081,684,419,
184,603,608,630,755,767,264,262,082,042,004,040,321,393,338,234,449,206,867,
697,272,308,682,863,498,147,268,986,362,557,778,397,427,006,974,114,800,677,
906,501,706,987,816,503,651,866,093,061,243,277,997,065,393,751,698,498,488,
846,215,772,327,424,390,685,155,968,227,381,062,229,757,849,048,958,140,408,
507,466,152,061,401,288,895,935,106,631,600,441,629,220,427,458,463,294,208,
389,924,059,955,228,743,563,079,410,216,903,918,942,506,609,089,809,142,145,
031,360,355,635,477,425,793,901,400,150,716,694,741,751,030,394,651,197,221,
271,558,773,105,389,797,381,520,669,719,760,119,446,945,333,106,292,441,842,
948,618,699,198,692,422,798,404,166,736,614,791,704,880,152,993,495,280,569,
872,591,207,150,025,183,238,787,393,424,219,824,536,877,780,007,416,155,322,
578,380,804,500,865,723,462,889,830,658,191,407,655,090,085,605,167,700,497,
942,127,964,828,535,941,015,760,855,761,497,863,669,063,699,389,255,208,256,
911,271,816,072,353,099,589,734,052,645,454,859,620,320,272,776,190,190,415,
217,021,341,168,705,346,312,280,740,699,759,735,516,421,117,242,531,853,593,
596,204,006,012,821,554,994,712,662,870,407,188,418,517,431,293,773,242,855,
187,354,271,669,539,343,692,906,068,661,399,268,613,118,114,899,167,611,209,
515,581,704,154,820,067,220,798,256,405,749,030,698,030,849,081,126,746,389,
903,213,961,798,898,400,144,329,465,345,539,071,597,282,172,839,429,256,246,
882,409,844,735,003,890,929,162,042,071,967,240,234,308,036,956,595,502,564,
068,349,221,503,814,067,093,756,024,081,742,351,656,781,404,928,572,289,089,
289,200,107,177,997,499,814,513,569,418,598,031,803,130,679,429,767,358,687,
566,464,384,734,999,742,376,259,376,862,965,861,185,478,812,519,167,612,764,
126,705,837,615,213,760,574,318,968,610,727,528,915,717,588,700,951,215,234,
704,865,611,482,114,001,744,206,099,373,459,987,070,284,094,717,226,671,209,
574,038,978,264,216,752,401,054,479,393,509,176,821,464,982,874,874,779,604,
939,707,007,322,888,553,124,774,518,288,803,299,242,658,878,180,506,825,528,
883,948,682,280,518,474,779,020,997,024,744,312,508,108,732,123,915,341,369,
890,784,142,281,246,516,174,351,160,230,567,934,042,226,212,893,883,145,867,
835,674,591,935,285,915,716,743,403,336,984,995,147,071,897,984,806,684,831,
509,887,071,047,005,687,260,678,488,421,860,118,748,076,318,135,144,183,414,
578,645,772,705,156,825,749,460,631,113,581,203,793,791,271,514,760,752,635,
942,533,081,309,503,941,209,666,278,259,312,440,569,887,563,413,458,553,987,
131,321,501,976,631,998,471,052,295,882,515,589,606,059,166,969,626,794,994,
031,327,810,735,982,202,216,761,476,190,998,415,011,642,172,093,125,773,086,
143,948,460,512,096,941,564,124,184,571,753,455,805,473,852,218,103,587,691,
168,311,699,758,434,853,504,422,044,167,829,272,389,900,999,077,605,400,991,
030,628,397,315,194,931,783,705,524,438,249,460,219,287,075,952,766,032,388,
403,410,939,785,122,496,476,739,982,339,650,811,166,548,054,696,470,136,037,
998,716,437,158,158,478,039,865,450,996,687,484,250,621,958,809,893,263,533,
640,934,195,371,530,730,389,373,032,840,403,675,650,038,629,500,349,101,410,
887,706,972,689,339,615,182,402,650,126,999,804,637,259,446,059,803,674,590,
877,484,261,194,361,714,145,916,415,790,647,865,894,001,425,998,555,640,821,
031,555,214,616,536,152,138,897,223,033,150,101,551,523,819,825,646,552,460,
545,769,160,771,057,717,245,249,295,275,051,779,017,763,923,675,508,204,333,
168,703,945,005,539,022,204,086,856,188,068,479,674,622,160,246,393,050,852,
904,732,123,822,826,857,696,763,782,385,570,376,251,640,820,535,984,079,650,
315,325,181,593,627,571,546,055,626,327,009,191,360,105,971,433,331,315,990,
907,626,984,318,746,731,371,775,383,859,543,868,378,719,245,156,326,176,161,
555,301,003,183,515,708,834,838,377,347,694,222,912,752,070,696,988,170,507,
515,890,852,095,937,295,411,322,047,926,325,576,303,900,303,583,912,333,821,
903,875,041,128,915,928,391,657,979,713,815,581,541,898,853,636,401,605,745,
669,529,306,645,708,719,083,532,339,967,493,500,632,894,594,399,558,268,305,
916,915,783,459,648,401,391,012,835,948,208,604,603,363,610,782,951,228,239,
102,151,168,656,235,698,835,619,108,988,188,494,813,420,556,959,027,578,257,
294,900,756,500,003,689,361,697,621,901,105,670,348,612,905,781,453,676,373,
532,487,043,854,004,348,658,714,327,906,664,979,404,231,387,794,159,764,106,
448,046,706,411,457,213,459,403,588,672,545,632,566,634,047,836,366,297,041,
136,036,485,941,574,135,831,100,678,259,281,076,101,918,110,866,212,800,129,
645,982,970,362,507,224,761,755,760,696,936,235,928,640,155,872,540,453,598,
897,831,578,708,717,874,817,563,824,833,876,095,894,176,368,949,809,418,177,
437,858,147,187,562,036,335,071,205,165,536,101,565,658,077,923,339,808,357,
705,913,669,966,337,671,180,392,827,808,961,547,798,083,465,919,694,666,382,
576,295,752,508,575,542,551,104,533,185,358,803,489,813,296,078,995,266,394,
252,520,362,467,131,438,755,523,149,247,976,007,310,852,014,028,596,370,098,
167,498,518,060,953,424,546,604,502,065,834,409,665,939,575,201,543,483,823,
420,446,347,923,231,410,652,372,793,368,737,424,993,714,506,750,904,207,927,
123,602,080,373,961,259,717,116,836,421,146,342,173,117,055,158,375,723,504,
077,191,307,779,144,636,430,066,581,763,902,530,047,878,938,870,181,768,188,
952,141,785,799,093,945,994,013,724,466,645,471,391,245,561,858,975,276,236,
235,893,549,713,100,282,936,189,552,252,748,986,575,323,557,452,786,410,434,
325,948,415,485,790,178,608,975,752,367,600,766,523,412,742,112,252,125,310,
205,646,398,375,163,896,624,640,615,309,537,633,560,056,091,542,307,312,534,
505,799,304,726,995,178,711,295,651,832,321,968,296,079,614,108,788,715,030,
356,914,196,475,837,776,421,853,747,078,884,431,028,469,611,322,771,010,559,
153,859,748,723,123,133,096,508,451,817,001,699,638,353,133,125,418,137,054,
870,992,492,159,737,817,711,500,141,889,745,459,691,542,976,777,538,332,664,
004,156,589,690,665,301,729,555,727,138,258,439,139,548,892,031,798,741,156,
661,638,782,663,477,748,455,330,148,618,812,964,911,025,775,509,426,742,861,
363,192,798,046,496,394,256,465,531,847,791,794,760,436,200,105,831,269,302,
319,911,073,458,411,177,897,167,835,664,275,932,633,227,086,814,562,659,883,
034,498,155,981,975,124,693,211,099,750,872,829,802,966,651,794,604,221,890,
297,063,990,961,639,676,115,485,719,027,234,325,796,311,474,751,542,317,029,
770,919,715,581,891,813,313,273,318,850,771,869,628,851,845,986,253,854,812,
271,108,968,097,174,249,445,900,478,496,366,718,576,295,920,675,298,514,527,
274,164,562,367,133,340,526,800,680,051,254,216,686,599,586,825,566,845,748,
606,152,955,531,301,417,266,923,898,854,977,529,567,212,677,188,328,818,855,
082,389,012,981,055,405,848,683,034,747,844,802,006,002,427,685,627,801,657,
492,571,789,718,100,595,232,065,111,367,249,345,401,392,653,558,875,579,525,
440,588,177,844,932,302,809,354,143,975,500,789,765,139,604,828,785,118,848,
888,381,144,357,845,998,971,693,369,104,606,967,770,220,923,958,334,600,434,
182,692,897,312,861,836,341,815,276,688,027,105,647,890,315,320,359,880,690,
868,022,894,719,829,873,329,461,103,403,250,912,321,051,684,912,053,922,623,
708,992,032,760,876,260,860,810,983,355,700,504,140,740,713,180,712,169,180,
536,673,835,973,954,680,722,198,726,661,363,653,406,698,772,312,163,467,127,
493,947,343,458,036,735,319,830,400,960,854,967,409,205,523,796,420,763,719,
692,220,237,794,481,475,013,348,761,922,964,248,726,563,033,092,386,547,350,
099,863,962,272,297,785,757,268,177,168,103,273,511,636,223,216,260,673,772,
826,489,052,787,896,669,539,978,061,561,838,265,290,860,461,550,721,807,385,
136,853,079,865,084,276,967,524,671,187,642,319,291,341,391,656,573,215,814,
400,425,538,630,919,814,960,268,657,740,438,975,496,080,312,811,424,416,125,
411,754,873,876,630,122,152,650,547,368,537,140,694,223,833,796,439,499,477,
536,593,253,445,666,868,440,252,635,008,888,663,448,106,119,788,412,870,402,
678,576,070,221,711,611,868,109,903,891,839,028,312,945,053,670,853,845,093,
768,902,105,442,595,907,486,488,791,692,101,695,383,748,747,597,690,580,732,
622,757,204,565,198,105,338,834,310,775,345,084,934,503,436,714,223,538,920,
651,158,691,487,121,297,326,339,850,854,717,534,337,941,154,335,259,504,943,
644,306,354,832,860,269,581,407,232,023,535,668,104,192,073,989,481,216,638,
410,927,563,703,159,655,095,848,501,122,953,570,764,579,042,988,833,498,114,
332,313,782,175,620,632,148,705,073,816,705,742,726,457,357,304,568,991,533,
621,001,646,643,216,320,699,433,432,632,600,327,479,734,446,570,414,632,834,
916,105,923,379,212,664,954,547,749,332,054,187,737,639,698,365,312,652,945,
227,888,601,179,562,005,814,077,257,774,176,956,555,776,418,623,389,046,315,
740,831,016,327,101,369,933,857,624,655,889,162,629,392,802,316,764,085,731,
888,283,573,710,362,348,510,807,852,264,541,135,707,097,243,836,597,521,151,
802,979,183,685,699,937,147,336,609,584,181,149,417,083,762,337,871,151,722,
824,272,245,088,223,987,919,948,052,767,547,669,236,999,195,732,747,301,356,
582,316,582,779,097,789,887,847,341,604,758,930,052,709,254,300,516,169,268,
612,459,544,434,777,786,651,882,423,448,828,346,184,377,533,139,780,779,016,
613,914,671,424,733,924,290,652,269,651,884,885,004,783,724,388,136,925,409,
073,519,554,582,894,168,935,836,803,392,158,223,259,929,196,626,978,939,067,
572,396,409,211,890,623,344,225,289,051,086,212,774,459,137,327,985,322,936,
090,449,272,614,516,557,807,397,668,399,440,540,051,210,357,721,696,436,795,
057,746,779,378,415,026,984,022,424,712,519,224,316,723,095,530,294,165,507,
428,730,498,530,393,727,082,301,496,979,512,549,789,358,313,207,148,779,615,
558,278,203,336,100,627,926,377,144,228,740,884,546,593,482,796,884,824,838,
373,743,234,681,672,703,999,676,815,408,200,803,138,589,783,382,952,277,839,
942,537,967,466,530,046,454,406,890,116,389,668,006,372,046,516,849,434,900,
334,971,518,157,863,909,932,388,705,191,418,870,842,166,134,008,287,101,494,
858,412,349,472,335,548,773,515,898,238,114,886,744,595,561,343,074,566,726,
185,713,605,983,720,811,776,246,298,964,300,989,069,764,694,338,300,886,577,
739,136,049,093,322,370,200,500,622,316,126,874,808,566,609,994,864,870,287,
312,589,595,168,474,379,339,799,215,106,134,177,337,533,015,365,633,845,402,
487,119,889,968,126,977,605,835,845,437,886,106,818,258,239,174,788,436,816,
173,896,929,582,586,197,962,297,405,790,843,907,871,603,699,527,830,217,520,
895,682,836,334,138,513,584,794,900,357,398,157,553,778,741,570,141,737,387,
799,280,511,463,706,553,125,846,061,094,170,250,047,130,149,474,838,856,113,
540,466,734,458,711,943,531,880,705,639,210,054,449,592,544,152,522,582,690,
339,694,604,043,610,920,363,725,451,849,238,897,552,430,705,928,331,541,419,
116,567,347,173,770,008,293,881,221,464,240,088,106,295,115,883,944,505,904,
599,277,431,892,806,654,195,096,261,528,937,050,701,111,443,800,850,215,940,
323,670,434,266,991,748,055,157,327,345,191,326,388,497,808,861,387,101,255,
123,925,890,860,476,439,269,502,344,261,127,635,283,837,782,266,327,538,229,
229,445,497,515,186,433,424,155,872,158,187,941,660,409,970,156,596,125,054,
536,269,830,529,560,757,881,832,989,114,501,071,370,125,662,672,068,001,043,
944,145,521,623,872,460,073,182,821,577,322,094,147,622,878,844,835,924,369,
302,967,518,886,069,936,556,238,693,015,846,559,753,301,604,295,834,289,546,
083,631,542,690,337,704,546,408,656,925,453,818,734,697,214,118,644,160,220,
829,658,692,802,979,661,975,992,444,299,862,767,199,107,296,358,859,035,765,
173,127,806,131,899,493,818,436,654,286,859,415,306,517,463,589,583,676,495,
619,675,377,945,705,582,990,186,643,827,689,913,359,514,716,408,675,370,228,
408,023,073,179,680,229,913,975,296,875,911,662,824,931,674,095,142,906,011,
889,608,457,151,449,274,381,551,761,816,653,198,360,357,987,784,896,079,818,
865,000,452,607,928,482,444,111,100,057,833,579,064,791,992,836,962,645,565,
519,386,764,518,477,238,414,146,143,194,065,554,653,497,971,283,997,751,132,
105,334,434,998,792,290,200,092,532,671,609,401,578,195,443,443,268,947,452,
155,200,692,621,286,493,360,041,173,888,842,507,999,773,809,098,762,359,479,
369,799,224,675,561,388,634,105,460,457,665,941,955,051,433,510,708,746,373,
826,335,860,084,009,622,528,393,260,341,606,075,257,697,221,593,503,611,990,
801,780,584,372,416,033,351,874,018,016,950,114,777,605,319,711,936,563,716,
393,936,244,304,111,403,974,833,624,555,789,288,693,852,812,859,902,134,406,
024,032,551,151,285,404,088,986,192,206,798,197,355,555,224,866,709,641,916,
899,527,959,844,921,508,794,170,866,893,988,183,925,129,976,486,248,764,924,
462,205,639,629,598,093,292,015,028,752,569,559,892,722,236,926,565,677,688,
399,111,673,179,266,139,796,340,206,336,457,970,140,441,618,497,120,643,934,
719,744,198,201,924,380,257,849,835,043,651,383,584,067,388,872,423,089,547,
625,281,507,509,800,533,328,251,324,269,410,231,093,326,009,863,976,280,736,
992,009,470,022,953,210,010,883,852,539,668,651,354,803,162,327,286,220,615,
519,985,219,551,395,619,838,299,237,305,809,689,155,496,195,913,396,556,732,
744,274,696,123,904,265,681,947,770,905,775,316,645,599,032,948,744,454,960,
309,622,362,404,829,359,306,855,098,716,501,986,891,531,727,089,829,446,116,
347,582,132,630,232,978,571,125,268,674,369,613,809,562,190,667,510,103,254,
729,053,980,763,443,632,180,916,854,443,287,419,317,721,107,839,636,432,787,
064,070,106,078,958,753,029,481,295,559,899,103,990,541,860,630,214,909,800,
443,678,634,850,839,733,462,697,285,897,091,994,745,734,999,857,617,065,656,
742,979,944,918,394,852,558,261,052,244,233,260,799,092,934,042,547,456,008,
048,585,222,052,335,211,641,932,995,907,468,327,943,739,307,512,947,996,461,
870,186,427,141,716,150,473,267,930,396,402,207,325,240,206,091,498,174,126,
718,109,824,036,494,104,357,536,837,649,547,381,078,420,848,917,066,230,273,
144,220,501,267,230,541,021,663,905,458,036,609,186,675,957,322,484,589,610,
399,702,156,007,978,708,888,236,886,519,965,886,630,248,469,040,350,469,104,
181,252,320,528,930,724,031,021,897,169,534,210,894,166,271,019,394,741,381,
151,667,924,124,930,767,109,374,754,616,232,562,467,347,567,934,463,501,931,
423,383,997,424,458,481,152,599,386,254,104,147,984,834,285,204,846,650,669,
226,529,142,147,893,415,740,772,265,834,220,036,110,851,555,891,008,273,992,
188,760,743,873,732,039,573,820,443,805,271,651,127,365,010,415,526,789,455,
753,044,358,373,939,074,890,810,184,716,654,743,600,319,778,104,705,065,853,
205,345,774,943,248,425,221,167,301,711,682,974,991,162,161,378,953,875,883,
829,351,180,108,511,280,411,662,682,222,390,031,003,095,510,330,219,863,607,
798,530,996,628,547,012,695,875,719,685,374,755,373,324,437,836,551,297,449,
168,080,460,823,309,778,031,414,913,157,773,357,761,658,663,215,337,734,394,
483,658,720,094,756,284,512,371,261,118,548,816,526,592,272,128,863,420,551,
619,324,731,321,887,847,227,991,566,838,052,708,652,194,353,834,436,918,632,
323,398,235,071,279,243,447,761,046,600,570,123,157,393,753,063,965,231,106,
035,653,708,019,895,127,442,354,237,203,059,781,339,525,327,975,676,299,506,
883,817,969,935,236,140,717,357,901,701,840,715,674,323,727,513,308,725,554,
244,186,845,334,204,393,120,952,391,387,061,160,083,154,685,640,789,406,435,
039,734,405,621,005,504,569,085,179,648,233,340,262,537,026,519,532,227,735,
490,390,510,198,558,325,691,221,778,840,837,476,717,009,885,556,261,517,159,
046,524,014,078,169,582,083,291,868,157,794,054,915,719,218,447,818,121,771,
158,838,283,609,816,446,089,961,198,258,009,063,337,128,343,146,882,337,728,
591,262,218,204,953,642,852,998,278,211,244,360,906,933,054,056,280,658,024,
435,614,925,279,196,121,112,715,403,453,607,614,955,133,101,652,739,525,949,
591,431,913,668,217,541,746,078,276,810,123,864,843,541,996,388,429,625,355,
809,980,278,511,654,470,503,735,952,690,272,762,301,372,340,935,012,177,612,
888,171,765,432,768,190,941,058,032,196,639,448,203,393,347,429,216,919,339,
641,477,007,998,725,249,075,805,162,077,656,004,219,517,961,737,255,368,179,
630,679,278,841,680,221,100,497,511,596,518,285,912,853,394,300,741,819,369,
517,458,873,856,043,324,218,450,405,325,994,300,681,869,044,950,928,808,197,
090,439,098,506,528,897,327,960,225,230,186,031,439,358,285,238,605,716,442,
916,981,142,759,082,998,286,788,379,358,574,232,872,215,529,166,077,356,710,
314,406,086,902,890,212,801,191,297,025,687,168,968,509,864,789,810,427,560,
258,343,548,094,453,672,633,052,800,834,498,986,862,088,459,729,488,258,896,
053,255,857,661,646,408,743,273,582,021,878,481,512,199,982,517,995,406,859,
038,885,875,917,803,422,933,746,110,809,931,579,969,893,330,481,815,277,149,
089,134,943,117,545,556,603,848,990,103,362,585,217,220,076,542,993,673,547,
666,400,428,838,206,618,675,942,967,237,343,272,277,267,214,447,547,905,227,
536,504,044,207,567,037,583,414,283,046,969,754,883,421,088,456,747,352,313,
144,164,476,843,597,656,493,938,735,829,411,345,024,461,516,817,305,217,209,
127,065,066,099,058,988,213,151,435,067,946,816,917,207,438,573,335,488,167,
998,799,232,956,458,192,012,216,188,869,178,375,701,712,693,635,701,911,152,
405,633,844,767,502,876,587,836,655,393,624,822,379,138,666,395,691,633,796,
532,021,020,311,266,575,676,853,990,972,151,650,414,011,866,453,548,729,755,
510,360,504,182,379,184,135,255,887,975,325,621,854,464,914,256,292,587,872,
835,754,404,087,050,291,886,757,440,353,958,531,087,585,421,114,041,361,949,
861,128,011,305,398,915,432,409,004,983,067,377,755,763,192,263,717,308,337,
580,860,212,733,464,645,449,205,609,642,485,260,211,015,998,021,997,393,007,
920,923,872,135,914,649,774,785,129,929,072,183,847,705,644,019,394,754,631,
519,678,863,846,619,281,346,475,655,571,817,793,941,088,338,463,854,316,796,
351,558,217,231,371,573,989,089,934,578,693,756,034,261,171,705,549,138,797,
480,489,790,103,787,220,572,076,902,019,633,462,139,055,841,771,887,104,560,
592,994,359,870,783,634,730,651,312,918,172,694,424,631,261,111,434,444,118,
760,889,200,650,982,958,505,891,449,362,642,580,699,449,215,563,163,079,777,
506,743,881,749,478,183,526,797,262,723,544,290,373,591,150,036,758,083,382,
576,434,248,199,855,214,048,790,379,874,906,882,977,804,005,153,653,772,452,
369,565,411,963,105,689,624,951,856,655,814,140,194,928,968,082,983,122,610,
001,209,007,544,922,718,657,321,964,429,549,507,972,063,949,202,423,771,322,
146,571,005,913,712,314,027,538,516,582,919,190,405,588,533,950,235,887,582,
917,559,496,801,409,718,936,340,504,168,575,199,385,528,906,352,956,140,017,
863,774,914,431,809,648,631,242,528,233,442,646,061,505,683,438,083,545,493,
032,535,809,813,539,703,882,120,162,010,437,604,208,998,003,363,206,811,427,
545,082,397,251,482,598,800,216,746,249,425,161,286,172,198,498,063,619,461,
128,411,434,801,769,083,285,657,410,402,135,146,201,075,085,275,924,014,243,
136,957,161,356,071,551,826,331,271,109,643,403,134,604,835,655,361,111,643,
895,793,270,781,256,274,541,818,355,274,320,117,393,511,905,019,443,430,634,
151,736,320,500,614,772,078,837,871,252,694,979,023,393,666,654,777,302,689,
154,892,654,783,527,107,279,595,980,130,308,469,009,817,435,406,399,123,299,
201,965,733,115,594,504,189,287,299,608,565,087,467,567,849,851,590,248,895,
451,955,032,873,176,870,475,659,315,589,628,951,790,611,779,711,122,384,181,
399,614,483,018,561,574,846,849,328,096,056,090,055,797,809,796,632,678,809,
595,661,376,091,471,263,485,166,362,232,766,929,674,438,363,943,738,751,009,
577,879,421,446,324,502,443,730,947,036,804,850,209,303,344,758,603,952,009,
335,618,839,506,020,278,005,842,621,171,490,497,284,160,557,520,174,742,393,
154,639,592,537,608,640,281,510,117,921,661,487,633,229,325,889,593,392,309,
774,363,123,559,909,364,100,154,689,298,414,989,336,268,333,478,116,070,240,
379,379,627,257,664,334,261,400,834,991,010,255,728,800,996,122,955,527,684,
953,998,419,128,525,673,532,145,152,165,844,727,332,024,126,401,738,835,505,
153,590,574,300,901,185,548,706,033,948,107,637,225,985,827,111,564,873,758,
064,010,569,621,901,629,232,451,836,730,429,048,238,138,533,072,262,216,936,
877,481,948,621,858,653,918,341,250,591,741,982,493,675,261,827,953,952,267,
605,926,057,401,209,930,631,494,208,137,065,935,484,884,282,798,409,204,381,
004,459,331,037,227,234,013,789,547,389,280,810,471,890,702,007,750,745,726,
005,469,947,301,551,854,272,833,075,404,105,035,427,209,209,014,571,755,963,
431,732,139,356,134,940,559,022,623,478,062,398,650,174,279,426,795,632,951,
534,245,438,768,903,582,486,750,043,343,868,531,635,203,187,377,271,230,846,
429,792,104,403,445,176,964,898,706,470,189,078,114,164,182,181,366,301,426,
555,454,986,180,475,445,686,124,173,827,982,611,796,401,409,432,464,151,030,
486,227,266,868,996,913,901,047,910,131,720,887,136,614,746,094,470,669,748,
214,821,895,046,455,747,310,926,960,922,522,408,466,040,699,634,697,917,029,
820,696,714,583,730,629,499,621,466,537,425,249,403,639,960,869,397,765,487,
200,116,098,874,200,719,975,441,053,079,085,032,676,843,976,456,439,502,917,
119,338,043,611,169,870,051,593,345,584,929,184,027,208,699,616,602,921,632,
581,192,166,717,271,082,872,595,057,102,300,327,063,400,595,076,979,138,647,
755,050,510,482,843,104,311,140,440,463,705,197,164,531,080,822,901,737,780,
240,482,256,024,605,070,505,578,170,265,743,731,410,270,323,434,252,086,314,
488,850,713,001,707,975,229,190,660,674,565,642,378,271,081,861,934,845,600,
472,015,684,651,819,313,368,777,650,336,316,551,173,157,719,695,158,137,692,
674,041,769,991,753,369,193,883,828,890,483,014,734,100,374,878,869,781,900,
442,495,283,627,696,450,281,996,138,622,183,320,625,785,935,072,019,353,359,
106,626,501,603,880,553,492,307,808,939,964,854,587,229,392,771,144,530,819,
811,566,796,047,848,310,321,898,474,899,264,150,566,130,057,194,447,955,577,
351,599,819,154,135,548,996,728,935,864,995,033,742,758,006,316,924,604,088,
044,442,166,147,364,966,814,127,380,949,701,052,574,497,684,147,160,404,642,
566,386,986,391,278,629,709,349,077,582,920,592,123,607,202,172,288,600,364,
467,372,146,883,844,165,857,057,442,868,165,716,838,960,552,458,775,620,759,
110,710,104,053,065,357,444,767,337,496,863,885,105,531,456,648,872,292,033,
106,648,606,316,805,532,588,601,126,999,087,753,037,839,753,699,428,359,286,
783,095,724,576,701,702,227,741,185,869,879,202,588,371,091,725,712,106,496,
403,861,397,455,239,245,134,682,793,456,691,921,687,361,154,543,529,087,007,
615,793,317,735,849,097,462,535,835,700,584,081,049,424,740,526,627,088,060,
849,465,722,029,029,933,227,100,448,485,512,581,497,377,097,509,747,620,161,
697,097,090,968,245,761,566,421,635,117,978,378,639,311,958,532,281,133,586,
639,481,600,540,013,458,608,465,791,961,488,469,387,484,326,852,950,862,592,
808,705,386,074,083,295,911,812,151,130,343,808,609,253,070,494,955,759,625,
190,219,389,891,091,087,413,518,125,369,032,285,968,071,087,763,360,285,656,
979,325,589,442,090,201,905,821,495,550,521,860,053,809,918,910,785,190,563,
679,597,079,648,291,887,945,152,503,703,561,429,771,928,536,354,169,142,813,
777,393,730,994,141,557,149,399,649,448,889,562,441,833,996,262,603,723,072,
561,565,079,514,483,226,823,127,138,899,844,507,876,044,414,924,221,747,270,
048,444,758,641,667,183,862,941,371,965,295,261,799,947,623,944,187,824,343,
782,187,026,180,785,437,616,400,214,365,383,459,153,870,451,341,968,644,844,
155,333,523,150,896,385,302,712,545,830,549,102,222,271,244,744,939,359,388,
596,773,180,807,858,758,919,618,837,251,869,024,669,798,825,143,608,829,686,
506,079,791,091,846,165,636,470,745,841,930,961,117,684,171,863,093,932,100,
968,638,634,040,272,721,568,284,314,733,342,194,176,993,680,153,998,831,495,
355,439,404,401,174,073,347,462,703,399,297,249,825,793,511,793,585,700,292,
103,254,003,481,837,865,920,816,044,231,399,314,370,433,585,496,953,743,056,
638,690,006,448,904,560,967,158,452,032,686,235,690,648,669,079,133,560,589,
684,871,307,291,029,460,499,848,094,970,858,817,217,286,935,795,334,787,945,
265,555,438,098,634,115,749,986,982,975,943,593,950,511,221,584,207,388,713,
740,999,000,853,159,741,736,236,921,280,891,166,668,502,080,750,157,346,370,
962,646,551,286,600,383,503,438,764,816,183,750,134,341,145,764,847,837,121,
711,306,300,558,433,269,901,079,759,787,110,405,424,868,783,344,951,271,308,
428,439,543,427,599,321,624,895,656,006,970,251,511,817,706,532,400,657,573,
907,448,038,397,996,330,061,596,523,628,074,206,070,078,173,826,346,027,769,
824,054,670,297,704,219,322,315,393,387,533,951,329,272,447,547,730,127,693,
893,762,999,742,041,190,140,439,244,394,830,016,119,111,664,225,137,638,488,
419,323,618,894,891,001,284,163,444,541,262,444,121,472,321,390,887,935,517,
561,576,586,431,764,654,698,982,764,240,151,931,102,861,093,827,881,249,009,
524,593,194,539,506,684,264,171,288,459,991,643,345,943,730,237,425,514,063,
133,840,360,726,185,788,688,599,374,211,360,733,517,036,267,624,105,174,365,
365,430,903,689,485,147,558,169,796,207,640,983,166,873,313,705,394,027,196,
938,264,466,047,606,605,665,072,350,171,131,967,747,868,508,094,021,847,218,
274,587,819,886,721,790,543,889,089,708,231,416,311,590,339,229,588,988,337,
379,181,414,322,942,375,699,762,514,588,304,994,137,790,130,156,200,433,666,
425,589,689,170,078,896,957,965,232,861,478,319,174,286,072,327,171,750,917,
458,387,770,500,116,267,035,736,855,164,759,398,177,203,232,856,189,110,587,
181,956,717,058,875,817,839,705,295,213,491,820,060,890,840,904,327,838,183,
700,596,547,732,294,476,565,916,892,962,959,516,474,106,282,497,978,014,249,
578,301,041,867,107,565,916,929,179,188,598,378,776,800,702,264,594,622,116,
674,639,908,788,794,198,300,531,620,805,652,045,578,840,864,409,343,833,205,
293,330,703,439,396,020,089,967,446,770,424,898,307,545,514,341,683,077,024,
186,951,617,305,396,267,447,575,360,576,370,064,703,662,051,070,427,541,696,
036,963,003,986,718,103,591,476,895,470,141,964,338,252,453,567,024,440,824,
606,964,412,517,809,057,568,080,887,773,390,733,900,123,034,993,536,634,866,
676,912,087,646,233,379,968,327,847,156,589,821,004,948,180,653,174,304,168,
327,642,687,565,816,648,161,097,112,571,642,940,376,341,557,679,560,837,096,
751,631,489,776,340,116,775,824,174,613,508,601,156,835,872,023,636,566,437,
640,182,713,688,016,216,217,069,519,368,642,499,639,280,391,804,144,694,153,
506,864,801,111,472,137,078,861,042,940,033,934,864,640,591,185,241,023,894,
938,568,086,574,339,964,202,789,442,793,039,905,350,992,161,042,118,553,642,
617,645,418,068,402,716,516,797,970,979,376,510,812,565,099,891,713,972,809,
645,704,174,921,304,431,502,577,040,721,840,274,230,669,555,135,674,617,052,
542,228,061,707,372,000,476,664,805,652,850,167,781,013,275,523,405,235,969,
743,078,622,850,150,106,727,967,702,261,273,516,116,666,769,165,603,683,270,
377,974,782,787,076,721,074,075,896,885,846,602,591,921,904,313,201,227,895,
275,477,776,346,381,883,756,247,684,201,799,441,346,352,852,390,044,023,631,
400,573,081,756,371,339,970,669,861,169,602,065,561,747,632,685,908,046,746,
250,104,385,748,842,094,937,533,535,455,367,337,377,807,084,948,507,324,618,
192,117,355,837,082,434,459,971,218,180,436,978,752,588,894,642,216,372,378,
421,864,517,461,310,939,565,468,863,324,030,485,974,715,382,914,603,341,004,
321,688,114,663,508,549,494,786,101,170,394,098,428,981,384,639,369,448,577,
071,752,050,942,637,294,514,119,798,199,538,854,219,223,046,477,168,735,655,
875,903,214,975,821,042,755,868,150,765,809,121,794,541,401,909,160,624,028,
417,916,242,469,723,953,930,744,354,736,486,394,196,309,412,314,356,444,278,
536,093,251,380,141,072,245,196,186,032,381,941,271,387,483,986,088,082,835,
031,575,400,336,714,184,467,404,633,665,058,230,419,904,552,732,228,598,230,
601,468,852,408,348,335,516,723,032,489,369,878,041,650,071,906,398,605,358,
079,092,516,705,985,870,920,982,761,333,244,193,486,990,763,200,696,889,022,
615,949,176,380,442,897,674,419,932,497,788,367,475,830,094,466,063,112,994,
706,828,578,592,164,831,945,997,504,479,011,612,598,662,046,160,369,394,782,
767,685,181,986,091,388,919,726,105,816,610,701,417,424,522,299,102,734,873,
998,058,854,323,959,094,633,168,937,490,941,992,925,903,576,968,081,725,109,
187,408,854,080,608,980,067,534,234,256,222,587,694,463,735,184,646,336,212,
729,574,615,618,774,943,158,193,674,237,011,358,215,575,788,349,091,974,936,
842,438,469,518,973,773,870,427,972,191,248,371,899,756,941,711,327,038,216,
000,344,355,609,128,970,793,907,605,231,301,656,253,011,737,252,168,257,238,
946,383,476,784,386,953,404,364,755,198,794,669,352,283,999,028,266,964,236,
573,452,282,930,753,960,155,575,037,882,764,294,105,788,725,629,729,691,838,
488,385,771,448,749,810,549,310,583,323,094,204,338,362,440,428,051,612,203,
593,798,799,974,978,456,974,315,797,816,904,414,197,465,181,549,919,278,904,
882,297,479,365,330,994,263,952,962,670,770,872,129,836,715,449,990,618,880,
863,239,589,427,423,617,866,826,286,945,191,102,448,382,790,962,338,118,492,
417,859,144,086,900,930,492,523,124,860,943,904,187,252,440,138,327,478,032,
064,384,216,673,490,286,743,150,219,347,812,407,341,145,433,117,147,220,721,
315,318,206,872,060,568,838,721,494,098,374,211,622,966,453,580,474,137,292,
072,695,522,407,462,217,024,501,104,932,035,319,464,511,952,199,104,021,317,
667,958,043,967,046,687,809,272,667,774,711,381,869,351,205,141,763,647,163,
898,549,656,846,637,574,514,937,846,289,391,998,050,082,209,031,732,428,554,
635,907,114,431,358,789,136,113,067,656,529,025,026,907,729,765,278,957,402,
237,886,035,351,288,276,236,404,512,536,775,301,007,439,035,993,036,373,358,
549,791,152,708,562,831,582,091,070,121,050,488,373,054,001,038,637,564,780,
895,132,703,283,673,045,776,069,955,282,861,477,819,599,992,538,235,552,347,
157,200,819,070,671,315,498,193,983,740,781,782,889,694,251,588,568,205,669,
284,632,596,028,144,381,284,758,701,243,051,874,456,601,513,113,109,265,265,
025,146,060,116,454,578,289,863,564,544,968,649,546,881,678,870,954,797,271,
193,332,890,579,826,061,538,092,401,370,493,825,886,818,712,617,939,108,554,
270,801,149,910,534,295,553,413,230,435,737,570,321,125,256,359,708,369,652,
446,271,489,067,668,665,056,453,978,465,036,468,410,263,817,172,075,709,546,
064,940,143,716,107,427,698,183,603,210,893,760,267,069,473,994,935,360,610,
952,240,403,473,104,305,122,870,145,753,340,154,783,275,752,389,621,427,795,
450,715,026,968,219,310,736,675,661,615,024,960,231,465,955,561,854,841,323,
626,683,862,030,945,986,937,509,911,030,387,088,602,660,331,543,471,958,962,
728,178,879,076,345,247,786,911,115,903,028,234,724,294,574,209,289,074,212,
733,636,745,876,815,428,597,021,143,008,928,688,383,218,188,319,596,845,318,
806,030,787,877,071,393,615,592,072,054,186,708,003,408,683,164,647,196,110,
146,012,737,556,007,776,487,095,207,809,091,847,943,598,368,719,439,708,358,
010,715,649,115,479,207,465,856,234,318,149,870,874,198,762,446,387,690,836,
521,320,602,816,133,359,970,802,279,062,362,831,148,309,690,346,978,401,047,
223,099,265,576,857,129,557,921,859,710,411,566,142,680,776,236,795,677,466,
654,852,502,939,675,004,657,067,899,777,457,366,736,341,231,382,783,476,809,
623,642,236,841,417,133,378,588,930,791,960,884,642,436,164,851,466,558,972,
365,562,908,975,547,234,979,724,335,367,216,221,966,408,948,451,763,294,209,
929,145,318,605,417,358,139,233,828,141,444,207,279,174,254,777,595,491,187,
644,709,117,771,261,267,359,823,250,945,029,735,773,961,381,563,025,216,822,
963,046,675,097,569,283,595,175,187,671,858,112,268,606,296,846,719,086,099,
138,301,356,133,900,447,752,498,134,350,347,490,993,067,689,029,194,456,963,
783,867,728,707,705,048,211,345,678,310,661,523,922,859,728,821,918,364,794,
354,369,260,932,957,968,960,296,545,078,893,926,810,427,359,072,236,310,972,
547,256,316,648,112,495,329,686,119,706,147,572,941,891,307,597,490,633,855,
049,035,932,617,288,464,631,561,203,365,678,398,099,411,136,731,286,463,271,
584,012,164,000,159,176,421,696,794,079,449,827,242,318,833,619,787,758,587,
517,177,821,007,066,644,246,063,931,924,945,511,092,119,338,170,658,968,565,
340,186,942,700,511,399,791,789,682,673,307,977,114,131,078,932,015,116,984,
221,176,441,932,022,293,825,499,877,162,351,379,431,133,179,934,282,791,038,
000,755,790,569,910,739,435,348,806,177,142,422,379,768,661,979,618,967,768,
110,040,858,893,268,581,470,521,123,807,078,472,325,841,972,019,080,941,909,
429,439,753,158,956,692,458,750,069,036,642,399,210,999,299,181,192,500,313,
708,266,481,685,436,509,154,376,884,276,781,886,459,374,204,028,558,806,076,
648,755,632,242,091,799,179,086,462,917,702,182,929,941,306,976,047,377,912,
471,477,231,297,880,556,262,843,640,806,737,628,107,503,316,380,289,236,610,
566,000,685,754,017,250,803,026,894,737,071,225,014,918,255,844,573,998,208,
599,256,254,999,792,442,369,091,407,907,085,800,273,397,291,664,250,043,138,
399,125,834,585,003,116,181,604,198,295,691,471,773,586,861,665,404,853,058,
402,006,286,093,150,151,617,492,271,811,366,198,666,326,787,098,452,807,460,
245,805,203,137,086,760,513,728,262,570,581,032,638,300,143,370,437,083,374,
676,640,564,624,105,613,756,135,025,080,064,200,803,165,719,531,582,958,939,
632,379,760,082,309,012,370,672,498,963,390,659,420,009,140,167,832,705,567,
511,806,638,986,430,836,676,497,656,264,771,249,738,942,035,628,607,273,425,
752,334,970,589,485,032,907,760,778,806,016,841,824,873,743,433,143,817,104,
258,253,120,853,937,269,574,987,257,437,645,610,148,046,616,994,620,639,010,
858,258,552,124,462,364,756,066,540,376,652,141,912,909,278,721,131,011,241,
138,307,551,359,834,558,970,062,752,990,622,638,723,795,075,339,066,290,631,
805,620,780,035,128,667,671,476,459,631,884,250,352,925,227,106,423,513,119,
580,218,367,238,849,040,168,687,070,013,600,446,342,036,418,332,313,400,895,
204,566,269,051,689,888,409,393,241,077,982,674,731,715,832,288,384,377,566,
675,822,054,910,703,918,429,291,013,469,260,582,053,614,752,801,486,054,753,
968,180,401,755,058,638,570,295,744,634,799,936,697,927,931,570,968,089,341,
406,379,864,573,633,548,324,369,480,686,894,583,715,684,638,234,298,736,177,
096,404,348,728,981,248,561,771,222,638,828,292,699,851,324,081,189,721,216,
619,003,845,631,697,505,112,178,926,330,657,971,322,010,927,800,176,825,812,
847,545,660,068,960,736,373,183,147,480,614,750,237,793,531,782,256,384,100,
237,678,361,621,526,302,071,535,996,686,761,289,874,095,331,362,061,298,275,
491,618,209,385,174,921,794,941,152,015,684,952,558,953,295,087,142,800,864,
192,538,523,892,692,056,667,758,458,395,848,747,612,240,163,122,092,642,887,
844,375,753,558,889,220,171,839,327,416,944,497,184,883,102,854,899,341,862,
889,778,034,356,173,570,212,663,734,848,641,609,826,299,000,703,934,568,957,
515,808,923,196,905,231,239,134,787,514,607,393,017,050,856,500,136,112,981,
097,183,732,305,218,148,441,503,972,686,371,117,896,598,649,075,690,746,411,
966,219,235,330,082,341,425,170,513,969,925,738,953,709,087,121,199,918,034,
979,900,252,113,492,534,874,661,975,723,764,633,296,187,167,438,654,827,969,
213,968,837,747,234,485,126,482,891,033,001,721,385,960,736,444,151,115,147,
003,250,658,243,193,840,322,247,855,889,235,959,894,917,436,485,457,293,129,
410,939,615,948,490,782,029,880,409,438,055,117,682,423,093,723,051,340,638,
209,265,269,565,483,356,133,400,525,845,463,398,838,588,584,521,032,428,915,
278,962,976,174,992,435,753,492,145,627,891,246,528,713,668,880,644,381,385,
510,639,737,480,443,281,700,446,490,266,134,007,195,679,442,701,131,653,497,
341,169,915,040,739,312,944,062,829,019,864,577,403,264,676,999,221,749,520,
193,258,736,096,188,663,380,253,281,290,162,408,805,042,345,493,326,582,478,
750,233,001,844,146,131,966,444,971,359,994,524,946,293,711,914,618,932,694,
743,425,521,316,641,432,411,705,775,911,777,744,862,646,956,375,874,734,707,
775,858,648,585,341,909,620,054,212,623,935,450,899,790,298,626,556,543,177,
573,722,484,012,412,251,511,313,651,571,260,116,958,449,210,147,936,565,537,
536,620,875,160,774,905,509,282,651,227,155,662,687,003,343,693,977,373,688,
680,226,781,668,403,774,405,901,729,025,412,324,224,386,021,091,706,319,649,
149,014,567,456,300,197,282,016,185,829,720,959,308,604,607,272,501,119,201,
163,821,242,360,290,443,141,007,917,232,895,795,391,695,976,282,693,971,613,
247,184,558,338,087,135,012,987,975,248,754,472,053,067,262,117,410,889,483,
412,829,274,171,236,018,049,857,083,156,571,535,950,216,009,607,737,771,128,
089,014,600,363,171,430,876,055,960,741,087,589,578,199,841,518,234,936,517,
940,584,336,985,931,789,930,341,993,031,307,103,178,549,013,252,997,081,418,
454,927,317,276,909,489,225,850,891,856,162,136,916,825,826,221,246,977,933,
780,692,927,464,391,979,829,120,857,753,121,306,041,569,317,162,694,913,975,
886,952,301,092,505,744,219,619,448,600,339,014,530,849,190,098,856,679,442,
861,362,338,670,560,153,083,873,752,078,303,901,740,515,010,006,075,725,241,
382,015,679,164,963,153,391,742,624,776,395,503,112,353,907,380,274,185,508,
544,783,988,219,647,020,273,397,505,736,170,352,461,169,735,210,115,511,340,
913,037,980,524,291,961,296,715,559,945,668,407,034,670,636,323,327,651,681,
492,066,377,083,037,550,954,019,284,724,310,717,164,687,548,285,528,680,365,
818,975,262,427,941,785,229,273,424,834,533,253,087,241,826,361,037,148,603,
722,803,467,637,371,456,672,812,432,405,657,213,313,406,706,441,226,489,181,
791,565,165,568,271,947,318,113,868,366,328,396,963,794,020,556,779,595,086,
866,426,654,748,655,682,591,096,976,339,026,544,961,849,343,706,470,861,318,
538,637,981,019,276,739,795,049,454,581,057,693,253,811,650,498,780,453,768,
689,156,552,246,941,524,605,228,094,828,452,637,826,580,515,162,609,868,742,
302,590,484,070,936,231,593,678,987,233,296,005,054,121,156,543,957,293,998,
608,387,619,909,888,344,716,844,492,369,784,219,982,379,983,312,499,010,492,
312,338,049,943,320,075,533,338,080,315,936,512,535,182,536,110,168,658,829,
923,558,145,355,713,356,899,089,793,794,628,253,020,570,122,039,747,029,547,
516,052,613,251,543,394,902,025,877,841,900,219,366,101,836,022,754,372,504,
129,088,936,019,358,340,363,916,685,739,245,439,567,526,990,631,737,096,324,
392,817,500,209,917,951,564,603,519,924,005,442,455,569,044,602,204,040,198,
125,477,391,704,488,292,086,495,454,413,004,911,242,007,084,046,539,516,980,
643,130,259,810,257,500,077,719,585,506,146,190,003,345,433,352,497,187,925,
877,926,432,410,256,957,748,423,500,012,363,918,626,597,197,528,378,811,111,
981,632,622,347,385,255,700,780,481,742,249,907,132,810,114,145,485,658,287,
457,044,031,756,218,916,852,949,869,724,005,186,702,116,856,903,691,009,535,
944,194,866,505,379,499,065,002,299,120,268,673,176,520,912,762,040,392,910,
674,868,129,287,081,910,220,459,791,904,397,207,430,895,425,616,476,849,165,
678,158,742,352,521,117,317,235,397,107,282,382,872,384,190,939,200,601,602,
134,660,849,703,825,489,775,807,229,706,542,325,115,044,827,714,447,649,066,
139,592,987,381,236,916,599,853,109,070,137,570,506,393,984,176,282,427,566,
797,571,769,154,133,404,660,983,044,312,987,588,469,253,800,925,546,997,947,
185,563,146,329,134,300,433,495,892,977,535,135,465,906,597,363,609,896,488,
345,950,732,307,478,646,812,086,382,085,645,158,495,437,100,701,859,665,038,
889,957,302,022,853,466,392,845,351,224,516,739,161,191,062,228,088,549,085,
028,161,849,009,898,548,711,567,709,550,862,463,959,305,925,218,864,473,322,
403,397,904,266,726,720,041,589,591,923,155,349,681,210,515,970,323,467,682,
460,045,778,598,052,086,218,326,988,519,842,386,754,186,808,042,942,672,430,
628,792,220,458,384,023,758,071,414,149,135,612,288,770,551,931,534,208,859,
174,068,532,898,365,338,140,142,438,814,573,262,102,141,949,088,096,864,457,
706,260,020,380,498,560,970,669,005,397,920,685,501,362,723,874,917,838,523,
102,238,846,185,564,332,841,986,321,138,790,226,852,050,529,635,449,983,216,
392,693,059,697,117,001,706,716,028,431,568,438,361,107,784,402,327,439,532,
416,996,435,797,541,965,380,018,648,501,780,881,431,983,504,661,999,000,382,
107,153,464,765,265,996,056,603,943,524,890,556,542,320,988,474,321,684,576,
032,895,470,131,003,819,097,472,813,410,206,484,582,859,595,605,215,618,302,
882,407,012,373,996,004,860,057,122,958,400,130,392,151,150,118,605,717,293,
984,398,111,108,172,184,592,550,008,407,262,169,401,223,654,258,212,275,569,
673,637,007,474,639,371,168,644,115,912,049,796,230,610,471,527,945,640,829,
761,617,302,806,463,525,135,670,314,349,950,594,254,309,929,849,516,397,174,
445,933,618,972,373,909,850,450,824,955,294,740,531,369,196,944,023,926,000,
181,474,207,441,795,441,371,937,370,162,607,201,605,310,972,095,052,986,701,
192,855,914,784,948,112,958,536,046,625,226,365,542,611,967,688,856,540,294,
558,800,203,887,349,168,473,268,498,413,311,117,263,647,715,987,651,123,916,
942,749,105,624,998,548,696,914,590,753,131,550,349,186,788,695,748,470,097,
193,444,798,996,785,029,151,132,509,723,886,734,428,103,719,037,534,597,243,
910,219,520,633,829,505,325,516,239,534,385,503,079,950,208,824,114,607,180,
698,321,741,451,913,618,197,600,984,937,113,878,069,606,815,419,370,257,481,
416,602,293,393,812,463,971,988,825,378,155,869,756,554,448,530,603,495,469,
701,513,803,111,622,169,834,191,467,524,323,598,983,120,850,269,734,499,422,
144,102,593,505,785,968,493,668,619,749,276,422,330,743,562,416,598,317,755,
506,706,984,478,700,254,024,278,222,865,418,283,061,876,131,142,723,622,945,
061,724,229,014,713,005,038,291,706,338,597,719,869,411,941,658,620,021,579,
327,962,053,987,531,486,692,293,828,095,345,090,021,936,249,184,709,511,608,
514,325,523,973,218,467,327,842,999,134,047,795,844,067,393,467,632,005,713,
821,110,246,534,223,363,906,462,646,219,832,244,775,077,563,588,276,166,068,
010,962,786,752,447,217,833,706,825,215,352,536,933,118,784,738,966,180,945,
866,263,367,089,581,182,364,148,065,611,828,338,396,388,481,895,747,455,698,
689,562,495,480,160,921,452,357,191,663,377,291,908,279,644,676,320,476,265,
427,805,674,519,438,072,046,172,253,398,715,169,659,393,379,688,284,860,549,
766,810,547,303,199,678,973,988,263,676,845,690,676,501,369,768,654,626,631,
715,770,672,130,988,875,314,349,651,847,859,185,996,241,683,237,094,123,961,
544,638,787,034,198,441,854,063,375,946,604,281,642,264,038,022,916,154,846,
779,836,909,212,173,789,268,358,585,389,655,716,421,721,419,531,285,787,908,
850,261,812,337,578,451,718,825,517,181,658,086,299,321,365,654,215,358,575,
175,718,103,955,565,111,883,921,316,468,600,030,097,756,975,253,849,495,195,
156,845,542,183,064,786,351,048,241,219,373,404,934,301,084,729,254,703,736,
026,189,443,484,147,066,208,482,567,528,812,942,986,815,557,900,180,599,165,
192,349,192,173,727,833,475,800,057,597,130,106,888,530,153,528,959,837,395,
810,499,330,719,361,041,809,426,001,038,684,293,713,632,904,283,259,984,001,
158,774,515,347,217,395,552,037,552,403,636,398,160,033,375,632,321,529,039,
452,639,909,629,948,861,287,196,872,333,764,783,152,048,786,842,182,160,407,
512,796,836,863,797,285,204,228,228,563,106,105,717,253,262,580,157,342,793,
483,960,155,590,004,715,380,101,909,535,374,069,490,553,596,534,070,869,233,
682,239,841,683,868,525,348,293,629,215,945,676,265,337,501,863,948,436,620,
522,884,190,532,029,746,222,016,454,767,694,506,929,350,505,903,948,022,229,
906,938,546,063,937,315,399,739,278,435,699,222,033,901,276,737,585,139,872,
606,610,946,925,842,234,821,379,424,840,435,875,795,299,095,429,947,351,895,
148,290,904,131,762,005,925,518,875,407,304,978,403,453,906,937,653,313,738,
083,419,301,453,851,403,522,926,996,748,347,290,684,633,698,212,068,657,996,
514,624,598,803,317,184,011,676,308,492,883,110,104,181,690,084,196,994,269,
222,662,780,986,329,789,158,010,079,470,777,082,257,027,639,184,721,350,163,
513,643,928,319,071,984,385,821,484,012,608,927,712,923,181,262,203,844,086,
857,782,666,307,115,032,055,517,375,615,931,745,772,149,384,110,076,751,918,
227,573,443,432,762,953,992,303,239,590,302,955,168,437,753,122,167,007,198,
644,697,239,346,179,136,490,035,550,888,793,384,756,896,756,915,532,590,716,
335,525,452,909,242,070,045,506,377,995,164,965,396,305,523,116,649,543,600,
286,209,374,519,876,355,834,506,562,075,249,984,322,394,155,751,366,153,922,
980,879,075,697,326,523,378,080,222,950,728,073,210,302,895,551,255,984,858,
003,759,433,746,489,971,303,689,158,957,345,951,363,829,993,423,065,799,483,
317,451,366,127,496,255,564,291,617,835,551,635,263,424,835,508,934,447,571,
667,460,349,022,831,615,125,417,923,333,246,112,718,234,886,042,232,149,229,
167,276,409,517,033,950,106,057,784,916,831,129,737,533,949,706,590,636,597,
091,094,564,106,637,428,896,677,077,975,198,273,270,034,284,636,788,373,404,
773,925,200,773,522,665,957,424,231,994,218,814,890,107,744,945,304,190,893,
314,506,114,782,197,802,914,626,748,674,904,407,208,748,856,750,902,989,488,
404,979,929,518,852,892,522,809,339,481,082,194,418,863,910,433,694,711,094,
696,942,021,331,341,437,606,197,479,704,763,689,003,195,137,839,908,348,952,
188,255,453,252,993,304,844,812,685,555,882,116,068,667,797,129,809,675,310,
361,226,890,700,159,782,763,206,137,020,303,677,871,047,462,084,672,979,865,
844,009,023,453,329,627,498,834,901,738,068,762,868,377,064,046,833,730,413,
960,437,405,759,582,841,230,921,077,195,947,715,459,300,751,525,746,387,501,
008,306,031,428,567,936,223,840,311,928,516,468,002,389,789,212,174,031,313,
726,841,030,317,712,361,628,820,940,114,193,584,047,408,683,225,199,877,977,
061,150,347,613,065,671,316,281,295,881,300,337,784,967,945,382,506,003,223,
845,757,312,610,820,242,035,293,818,310,421,787,937,261,381,350,031,378,452,
485,637,656,837,095,759,241,116,985,800,553,991,525,200,215,238,513,710,361,
603,314,779,308,744,944,829,150,790,831,994,094,508,561,486,311,649,515,831,
194,480,600,755,726,144,575,455,088,448,913,462,589,432,673,970,986,287,731,
416,982,293,896,830,195,860,083,563,661,084,721,668,479,234,994,633,326,406,
855,427,617,667,375,974,564,230,321,804,316,840,601,611,886,940,118,222,614,
880,137,343,952,413,911,905,766,684,488,436,838,198,664,238,733,380,841,375,
889,389,399,561,493,335,084,085,949,933,326,939,912,921,487,697,216,144,927,
674,278,440,043,501,519,409,232,235,522,203,203,416,303,455,131,136,215,580,
755,382,880,906,739,858,518,397,737,679,945,527,801,363,946,989,320,238,826,
706,547,032,043,091,351,878,828,402,849,880,025,305,814,951,526,622,699,832,
746,242,988,842,159,717,653,939,057,774,416,760,208,062,035,974,336,821,644,
743,982,981,967,329,674,330,366,471,843,749,623,535,814,530,502,741,280,513,
904,193,582,107,068,746,689,365,008,447,737,685,543,015,585,605,259,631,767,
744,731,357,360,121,934,223,704,972,139,444,636,498,488,986,815,694,637,915,
731,758,531,957,396,229,341,805,931,204,377,828,053,032,079,869,653,577,805,
390,748,799,442,658,326,154,047,774,819,418,474,455,805,451,479,083,224,222,
651,204,100,676,536,120,063,376,558,507,795,329,529,544,737,002,023,595,591,
485,187,096,091,147,141,167,508,002,479,577,261,932,531,427,910,336,755,596,
818,239,262,337,548,585,692,645,952,430,012,434,809,889,146,947,663,235,894,
332,598,192,799,375,757,125,943,426,863,927,348,589,686,412,588,264,955,031,
710,397,086,878,236,740,924,723,635,331,771,418,549,059,048,312,305,166,332,
116,808,956,934,225,039,039,932,733,285,679,969,660,523,767,185,847,772,800,
972,379,927,605,903,341,598,225,413,195,516,176,688,159,102,095,019,341,885,
214,381,435,562,819,196,676,953,718,810,247,870,847,400,155,718,233,991,376,
554,229,671,986,977,729,771,234,750,763,872,478,738,164,273,696,806,289,467,
879,084,140,397,675,057,632,395,697,711,531,643,354,639,877,137,159,047,239,
962,247,387,480,034,435,468,702,132,629,207,041,635,025,674,226,743,473,696,
091,929,273,122,095,294,154,388,310,835,303,989,798,394,764,962,423,383,685,
567,649,551,470,455,281,679,999,071,651,859,085,762,042,414,434,481,971,311,
384,280,455,863,162,807,349,582,499,878,466,176,788,227,217,249,042,459,061,
283,312,860,642,560,959,291,693,841,786,534,945,892,786,434,478,630,767,256,
673,255,888,833,590,443,153,887,622,227,261,406,164,122,025,926,720,190,584,
405,490,289,986,800,995,736,829,571,114,877,756,373,053,710,450,915,000,875,
705,914,127,731,805,894,125,238,324,319,396,345,215,718,058,439,267,569,903,
550,940,254,504,786,770,993,394,669,819,008,189,840,890,748,243,645,501,638,
175,343,845,376,179,793,370,673,207,784,254,621,553,903,774,934,108,669,809,
513,792,659,857,760,267,453,766,664,494,315,852,212,734,803,699,734,574,629,
950,622,346,534,685,125,357,145,125,803,051,270,515,926,271,069,281,833,976,
819,989,412,648,213,505,109,951,398,357,627,517,032,161,205,460,207,309,381,
578,899,053,409,308,172,952,190,654,981,104,102,317,046,458,757,027,136,260,
443,942,996,810,042,823,894,617,243,710,995,187,167,374,783,511,673,866,753,
258,368,169,483,241,866,266,274,787,384,085,373,210,952,906,224,410,511,001,
838,594,994,212,249,150,009,941,911,829,068,481,363,776,701,624,215,504,041,
110,627,459,128,368,322,318,592,838,405,335,419,337,392,133,069,032,317,331,
176,574,045,765,127,138,332,539,750,906,654,363,089,818,731,216,672,167,148,
146,699,827,213,161,169,478,135,010,721,632,637,870,681,042,271,293,317,598,
395,189,728,865,578,151,234,354,960,791,533,598,779,182,601,371,338,772,445,
028,904,566,554,823,390,040,950,463,873,845,678,466,486,855,377,037,867,778,
045,788,033,747,698,549,029,513,389,514,421,519,143,409,633,795,129,321,182,
099,279,033,030,598,812,422,295,705,838,404,453,645,770,051,390,470,589,850,
859,710,400,269,183,719,310,604,278,755,160,604,269,477,945,749,823,896,688,
273,825,175,602,496,544,454,757,293,674,371,066,472,432,582,839,330,025,681,
568,385,776,621,568,358,625,330,389,189,042,671,158,343,804,441,644,510,200,
262,356,720,521,747,351,082,609,149,042,561,961,163,916,868,608,120,328,872,
312,478,745,412,617,644,413,967,340,215,547,613,720,115,713,681,301,200,955,
359,291,042,482,605,460,909,387,599,598,225,718,849,951,297,638,323,690,709,
462,308,143,393,713,639,128,210,977,762,237,681,059,526,532,283,348,026,956,
631,316,574,516,146,389,068,134,773,730,096,112,400,742,420,649,407,222,288,
336,527,990,004,679,269,046,793,086,876,636,582,629,658,993,771,050,472,844,
136,051,687,374,336,144,630,717,517,806,510,025,882,686,555,037,591,058,188,
818,404,895,275,176,409,211,665,698,541,041,181,636,179,611,896,762,265,119,
845,194,627,988,016,072,446,340,499,263,617,985,311,596,828,651,099,074,522,
103,821,553,934,131,201,705,784,184,868,342,826,647,636,260,653,179,473,813,
882,509,306,259,448,121,393,189,902,230,778,558,776,890,102,039,513,635,271,
507,037,968,293,071,098,840,306,021,772,794,858,273,514,203,752,450,528,180,
850,199,712,733,204,974,711,317,680,326,612,519,471,383,676,832,913,714,240,
017,822,690,342,102,822,164,255,587,744,810,096,374,095,974,649,843,157,667,
122,489,745,122,351,294,081,083,027,574,080,794,994,256,624,752,415,619,649,
083,261,867,964,832,124,947,787,030,369,647,644,865,804,381,106,028,378,568,
357,069,961,792,504,811,677,271,188,118,637,030,747,540,292,074,726,731,367,
053,362,002,985,446,511,469,266,490,296,358,547,398,107,495,970,719,381,495,
917,045,096,040,950,703,900,928,293,878,158,534,901,319,179,605,607,306,912,
697,834,650,798,505,861,052,525,128,220,775,947,382,469,204,109,166,109,389,
849,909,027,996,091,456,216,198,044,546,940,801,881,998,190,251,248,171,324,
321,956,096,428,202,357,410,191,276,546,299,574,193,964,286,559,271,389,023,
448,653,930,680,788,795,227,741,664,850,008,770,905,464,307,479,610,827,289,
492,828,317,195,452,166,546,662,464,984,398,560,641,019,216,129,849,355,269,
156,432,386,138,777,661,410,110,952,452,539,495,212,822,810,358,413,063,799,
511,519,920,039,719,837,215,277,571,762,128,852,243,980,057,004,904,314,309,
570,041,666,667,582,213,612,786,855,901,321,915,965,149,281,990,897,360,504,
474,225,109,827,641,381,053,469,172,785,058,830,481,286,470,864,940,595,161,
459,785,611,106,623,636,450,201,657,193,143,126,076,353,654,531,037,065,489,
926,165,563,124,815,881,605,171,344,270,445,730,021,769,600,959,729,294,516,
425,801,307,953,203,004,745,743,742,397,769,972,008,139,018,761,073,007,402,
754,759,614,747,124,853,712,576,585,680,505,828,583,263,167,451,617,993,442,
387,812,847,818,606,327,849,819,456,226,504,085,753,641,643,121,266,603,983,
469,335,406,570,538,524,161,796,541,900,133,576,672,342,360,708,705,083,321,
811,636,267,417,893,996,127,068,222,412,081,879,053,823,297,730,219,107,578,
796,949,840,875,956,610,233,413,675,693,627,500,510,922,311,780,022,462,070,
239,202,597,938,440,578,123,527,932,548,608,608,824,218,066,557,903,232,465,
575,425,393,713,914,276,532,398,128,266,642,308,783,695,676,272,428,708,419,
837,849,337,956,317,202,595,546,623,566,859,646,435,363,293,100,801,036,309,
342,353,745,487,374,251,080,026,398,420,999,340,374,105,131,962,403,981,117,
932,920,981,725,759,276,865,070,225,798,626,623,754,290,348,104,209,184,262,
608,568,213,180,376,361,007,422,816,412,122,355,055,600,758,069,736,793,977,
750,740,444,587,150,323,975,801,495,812,227,115,658,160,457,102,825,364,337,
045,102,046,267,737,626,989,801,261,435,949,063,510,304,824,240,623,580,334,
176,529,794,137,219,182,139,977,616,595,222,832,100,731,543,840,148,222,780,
434,223,267,586,105,535,464,973,390,319,680,789,117,410,432,223,764,617,970,
875,619,818,812,760,582,881,702,283,605,865,506,242,342,591,380,032,929,142,
321,515,220,868,071,701,790,870,800,316,103,956,671,491,853,672,494,646,189,
445,045,678,158,322,153,175,062,705,049,533,941,725,065,814,483,706,139,349,
698,769,304,411,419,958,506,453,082,251,044,321,563,551,191,405,360,921,522,
867,435,486,724,524,209,955,458,528,026,041,827,956,443,988,958,319,418,459,
876,263,359,729,876,785,473,929,109,935,196,783,908,239,760,762,462,927,599,
763,910,865,372,742,245,006,973,883,243,358,915,011,619,967,273,230,076,594,
082,317,513,983,720,587,471,453,792,314,766,101,353,138,635,812,408,533,357,
937,067,031,865,310,757,366,697,617,227,336,161,787,432,753,418,016,062,671,
434,597,816,596,902,160,638,965,475,837,475,291,272,363,403,423,044,721,151,
656,761,818,323,866,462,323,448,391,482,352,244,181,248,732,511,995,296,643,
172,282,337,776,214,510,768,337,475,917,199,022,659,163,871,580,528,940,246,
474,126,187,258,418,459,917,171,767,608,438,751,591,134,297,876,515,777,991,
082,462,851,763,903,065,770,054,630,443,076,463,155,746,760,568,249,552,494,
209,476,690,097,590,365,536,533,824,312,341,577,456,269,227,798,487,747,952,
375,673,634,102,539,159,462,905,742,472,119,391,895,775,714,629,867,147,218,
575,941,001,229,696,190,405,006,644,288,354,584,449,104,485,090,750,439,130,
250,586,770,171,407,770,188,971,905,222,037,384,816,148,518,718,143,683,998,
358,649,089,748,231,426,947,323,591,802,524,642,629,818,022,185,332,666,297,
749,138,833,170,217,225,486,061,929,881,974,948,288,347,470,335,706,768,499,
950,772,942,782,671,531,256,405,349,241,395,629,131,972,665,027,021,099,285,
183,272,345,309,748,297,520,684,116,057,634,875,208,945,651,594,103,973,041,
966,215,194,223,735,733,607,543,436,000,064,929,304,981,128,191,515,419,435,
803,799,449,575,600,773,650,045,293,151,955,305,679,248,988,572,076,098,981,
468,804,108,785,022,751,034,236,782,365,682,938,679,321,503,076,396,731,695,
453,686,169,763,319,522,811,651,000,932,935,698,498,205,568,166,003,984,311,
890,685,750,190,936,094,097,233,678,413,227,590,417,146,309,867,684,814,063,
959,846,601,206,056,118,511,652,000,630,123,963,878,244,223,711,130,009,557,
895,375,768,537,586,934,377,791,793,062,812,587,360,276,138,980,675,799,426,
390,358,923,523,323,527,693,827,869,354,635,057,584,439,231,388,509,778,357,
584,856,330,653,859,560,338,830,026,381,527,708,558,036,103,338,316,343,347,
329,376,969,702,028,902,568,124,081,160,477,069,885,520,132,688,183,428,534,
193,828,378,247,806,434,917,280,207,166,151,102,464,746,978,481,110,232,344,
384,457,055,223,881,155,479,939,926,740,599,051,268,455,822,180,460,208,103,
563,619,095,974,604,410,858,875,557,975,847,020,993,168,575,652,570,731,910,
809,872,487,703,028,201,173,871,318,244,195,382,930,848,778,486,233,821,874,
042,318,777,561,995,481,818,360,122,196,479,932,509,830,590,244,538,786,099,
367,981,496,605,842,370,840,025,985,745,724,114,083,532,393,861,402,755,308,
398,044,507,239,192,247,601,390,199,305,148,599,260,567,270,039,740,872,282,
505,224,184,448,600,461,083,221,280,138,232,812,552,144,202,560,572,296,016,
158,287,673,556,549,751,023,972,593,034,600,047,854,717,930,850,715,718,223,
645,386,809,158,982,659,911,012,174,286,215,367,133,699,315,843,852,048,909,
229,537,993,346,496,151,622,024,114,764,694,882,584,547,450,073,992,749,405,
992,286,494,389,040,349,029,319,726,633,679,060,511,520,629,798,939,106,613,
141,834,792,564,694,644,703,944,478,335,199,855,806,434,157,002,494,057,844,
410,990,061,458,573,662,516,930,345,836,980,786,919,101,559,779,373,922,548,
163,462,002,936,160,157,947,721,489,480,052,967,238,969,053,488,376,978,767,
861,446,875,590,917,078,531,817,766,190,421,808,713,579,769,167,389,787,160,
566,367,931,003,978,035,248,705,643,306,885,033,440,616,415,301,728,532,389,
893,942,791,669,217,168,247,997,889,340,549,334,943,394,249,889,615,985,588,
154,629,879,586,270,853,169,040,185,437,210,021,467,341,718,163,579,378,408,
968,308,288,804,162,202,315,738,689,033,778,691,143,045,613,305,803,426,275,
619,078,488,080,161,124,792,380,545,105,517,519,845,067,595,822,912,690,634,
291,184,672,591,167,704,484,501,310,814,740,111,363,563,030,248,225,953,655,
132,698,232,624,528,398,955,680,206,840,787,524,745,509,364,843,229,513,628,
652,827,275,140,975,704,753,530,237,675,507,388,692,066,955,463,565,441,337,
257,814,734,683,232,430,210,664,449,954,258,444,515,466,716,759,261,872,756,
269,063,896,780,402,664,570,600,670,100,519,272,610,230,275,030,254,735,262,
507,319,627,317,289,831,912,730,861,482,253,526,512,266,113,484,208,939,741,
546,703,463,643,208,237,712,486,383,236,244,547,133,931,178,477,330,427,468,
781,450,394,445,639,140,290,715,725,973,150,749,481,241,152,410,274,826,310,
653,568,111,520,556,664,411,789,882,500,657,008,510,517,408,588,939,381,395,
150,471,746,354,129,599,231,432,602,271,735,692,720,648,876,237,827,516,263,
311,226,736,687,416,535,786,179,603,659,527,823,628,282,574,070,569,533,822,
301,164,105,626,646,600,925,043,892,636,416,127,138,400,087,511,565,607,708,
189,870,680,394,607,737,883,213,500,172,890,891,512,635,292,736,842,597,437,
029,412,851,124,496,379,445,582,646,087,365,959,922,530,393,786,030,221,792,
823,524,667,986,048,328,345,063,960,795,389,535,956,262,909,414,663,382,119,
144,828,546,877,056,416,391,416,119,915,235,292,317,765,143,436,617,388,586,
006,751,170,534,466,284,053,903,377,224,268,214,401,530,101,509,835,797,834,
692,953,968,889,040,210,822,059,337,893,779,848,942,050,946,302,263,546,446,
611,567,531,111,023,377,968,777,162,474,421,194,342,102,012,543,976,140,148,
760,319,409,860,198,766,808,323,452,816,389,655,269,985,774,611,770,536,697,
171,968,480,485,475,430,293,465,207,989,892,607,317,360,714,605,492,635,865,
779,803,161,236,880,132,754,455,730,795,163,784,511,969,916,313,102,538,238,
267,215,050,216,481,726,885,306,158,619,451,032,850,128,258,308,038,777,511,
902,447,802,083,677,445,031,527,160,004,418,232,775,625,785,357,114,083,023,
588,801,800,146,007,442,493,202,347,718,651,676,252,491,366,797,171,148,980,
125,501,016,808,505,430,322,223,383,067,757,109,469,791,763,904,477,598,286,
901,704,821,764,932,226,848,045,053,451,277,143,405,366,042,165,434,468,393,
262,157,148,333,996,188,661,849,757,151,832,940,374,765,615,879,824,605,814,
670,955,718,164,416,208,435,656,969,758,840,637,693,033,306,271,760,881,755,
265,205,385,428,013,429,096,937,601,430,737,536,315,311,905,636,431,406,340,
464,764,847,628,896,335,251,588,878,264,675,147,971,164,115,847,496,085,231,
881,529,846,538,264,014,411,979,653,131,817,188,536,228,009,596,387,281,521,
573,623,519,856,797,895,157,051,501,375,020,322,640,461,659,559,778,501,090,
633,708,140,851,947,874,980,589,050,917,203,318,224,890,153,797,498,377,777,
947,389,632,125,761,606,228,359,456,269,735,331,666,557,070,450,228,305,571,
041,939,385,347,828,700,857,362,424,790,608,768,466,260,351,276,247,058,753,
213,282,409,929,028,165,696,967,454,860,282,062,338,055,609,518,802,101,558,
515,701,002,938,475,937,493,292,631,091,755,478,800,937,987,299,319,267,942,
125,373,789,406,176,907,540,753,500,360,143,119,566,713,557,926,203,522,828,
923,917,051,697,270,583,752,167,545,398,405,916,685,906,501,435,816,666,735,
202,594,162,434,183,453,947,782,112,109,959,278,433,767,780,167,427,989,724,
199,616,555,748,383,673,515,277,506,755,872,863,178,495,903,234,656,418,639,
934,962,589,854,566,378,545,461,208,373,019,983,114,877,015,677,516,829,798,
111,693,476,837,677,485,926,025,463,003,300,546,256,654,201,746,901,510,058,
653,644,880,182,711,335,700,488,224,680,660,142,409,583,094,677,692,812,806,
059,404,055,937,199,841,842,490,375,277,298,540,357,149,577,539,017,971,834,
831,687,795,335,894,817,680,799,540,752,650,093,703,178,271,339,505,699,656,
944,805,793,096,593,488,952,527,708,987,236,848,841,780,761,950,123,396,178,
875,877,826,251,192,001,945,093,727,199,038,845,918,195,666,595,920,764,343,
343,398,688,750,556,339,045,285,849,939,083,770,281,304,578,829,679,709,138,
427,263,156,505,322,467,446,045,614,275,951,237,725,418,135,301,109,397,120,
587,959,248,613,212,118,657,997,043,481,554,437,754,086,155,742,126,159,253,
771,070,617,937,722,970,001,145,042,164,461,816,639,252,071,388,920,135,084,
352,136,643,895,501,418,083,984,622,578,644,557,344,344,622,310,174,111,380,
954,708,129,625,737,886,860,365,939,465,037,281,082,422,313,971,167,754,748,
278,954,270,418,866,685,473,255,629,500,691,874,135,467,972,677,246,158,130,
279,831,287,920,520,992,639,684,957,205,282,624,627,931,363,563,638,128,218,
149,221,206,159,976,657,872,787,736,933,284,570,681,509,613,446,999,298,789,
264,265,121,751,030,457,796,566,099,823,429,372,815,806,512,308,390,356,228,
630,269,890,781,022,758,540,061,905,236,115,740,264,254,368,816,155,290,535,
122,894,526,646,982,065,389,555,461,179,091,883,207,757,590,973,391,455,259,
404,802,440,681,072,643,974,563,574,712,388,936,298,971,111,760,139,676,296,
400,118,403,902,491,331,720,617,971,373,152,814,788,647,735,063,423,656,570,
515,935,545,699,642,713,286,659,031,144,968,338,953,805,647,181,557,372,831,
505,429,012,786,671,373,937,093,657,258,993,956,679,357,343,606,172,138,677,
758,686,389,954,577,738,830,717,648,406,768,244,587,270,214,399,437,329,307,
124,224,607,474,323,550,778,965,887,109,244,090,022,102,574,527,743,244,198,
215,357,203,299,543,930,996,361,441,565,605,377,191,325,136,374,839,723,673,
399,460,605,262,376,898,838,180,588,446,121,702,164,294,465,690,196,506,127,
973,092,671,398,902,156,029,572,649,100,895,450,006,365,873,786,386,494,982,
358,175,810,454,920,852,446,822,300,264,920,891,577,393,433,845,026,880,749,
728,254,937,005,741,996,572,287,877,281,853,825,168,507,547,019,992,839,469,
470,983,567,361,682,217,520,415,772,650,156,608,798,295,022,893,214,790,980,
802,605,325,799,138,666,011,742,416,931,494,547,476,380,387,042,093,582,041,
711,777,858,026,300,836,612,114,007,338,830,720,508,536,138,978,422,335,814,
197,428,486,803,391,323,190,478,180,246,155,542,021,871,130,912,668,459,636,
807,408,766,992,126,061,870,671,716,869,478,657,146,306,167,368,991,903,300,
960,437,692,617,449,911,948,426,680,992,253,760,224,006,186,589,498,708,497,
057,080,438,224,756,818,574,018,585,329,479,296,566,472,286,149,538,474,219,
395,358,239,653,880,715,258,318,337,789,903,143,825,007,796,243,769,123,829,
107,916,275,197,281,773,539,257,967,019,905,210,257,528,409,516,674,078,034,
990,005,445,277,488,329,048,800,598,004,554,193,862,286,271,372,892,408,897,
813,213,055,452,130,062,600,150,669,869,472,809,745,444,976,016,564,914,645,
005,720,898,587,693,399,497,083,511,408,826,383,482,260,416,894,818,401,004,
502,385,181,252,427,674,971,456,008,313,578,516,721,895,757,008,715,707,394,
639,504,420,826,971,572,634,673,270,438,028,670,631,007,417,207,702,987,737,
392,105,500,329,761,585,916,387,856,966,587,584,823,732,018,247,317,972,690,
454,886,718,211,521,810,805,805,056,556,636,339,420,504,165,750,460,731,186,
946,601,250,736,185,799,556,445,109,745,738,238,664,049,078,783,242,666,587,
308,591,755,154,389,926,589,849,516,982,345,038,289,490,544,153,582,422,686,
874,450,371,456,877,024,612,926,406,857,431,598,245,891,939,128,555,597,329,
469,105,909,936,762,499,492,761,840,517,693,015,026,034,399,941,779,608,130,
975,165,710,560,757,657,911,523,648,379,667,106,504,322,164,603,809,718,637,
704,381,715,020,205,045,588,147,639,666,363,258,574,635,416,937,774,322,900,
939,356,148,299,957,917,248,256,983,256,138,761,367,351,628,973,591,967,423,
045,803,285,917,051,804,906,741,321,317,229,116,460,942,853,148,666,564,992,
407,554,993,715,322,359,727,949,442,251,823,758,190,375,375,064,965,286,360,
863,638,330,144,444,231,907,777,677,638,171,735,444,943,453,824,888,218,789,
359,602,506,226,245,638,231,792,984,627,609,832,551,670,904,120,818,523,851,
413,496,320,810,647,575,349,871,412,575,350,704,413,368,428,201,347,396,050,
295,328,947,554,381,696,491,374,403,115,243,286,386,857,914,747,018,336,279,
736,210,057,504,604,392,420,829,964,006,274,180,425,038,708,357,676,790,356,
138,873,625,783,581,472,747,845,402,941,815,205,216,569,668,013,285,272,032,
010,396,865,418,990,588,776,747,238,763,980,781,003,462,822,362,353,133,499,
687,613,398,875,993,644,722,070,657,052,227,492,091,124,434,978,178,900,475,
076,339,042,871,314,601,833,535,948,267,780,230,587,511,113,079,712,748,277,
704,086,313,755,868,238,388,281,192,560,807,158,599,994,075,947,093,417,799,
122,086,973,584,910,916,874,030,243,577,381,208,464,663,009,397,970,844,747,
917,156,859,937,294,018,387,336,013,414,036,468,154,736,061,464,023,097,713,
573,495,879,569,253,870,774,084,476,918,676,090,763,671,980,890,371,536,469,
451,078,472,839,323,501,686,881,806,083,464,686,213,625,576,662,601,152,348,
352,214,548,361,590,074,413,305,325,651,343,772,622,818,312,530,614,240,330,
229,412,800,898,178,343,189,131,055,994,306,405,430,977,483,630,820,239,640,
983,549,955,192,046,940,538,994,372,115,505,738,517,101,851,440,744,503,251,
432,201,371,972,319,771,969,775,628,465,172,717,840,657,292,130,831,627,412,
736,202,009,329,047,624,742,517,791,938,696,486,506,851,409,954,377,458,119,
437,933,045,328,340,963,430,185,361,715,717,668,869,886,616,313,842,162,123,
780,683,578,161,474,836,410,408,550,744,407,312,746,150,319,341,105,020,830,
748,010,151,437,125,405,238,321,715,086,070,475,356,119,649,223,640,628,488,
822,949,119,492,644,250,207,121,333,799,943,616,139,908,250,093,075,482,748,
629,903,217,117,964,384,424,939,813,726,251,860,545,756,128,331,325,137,509,
029,649,168,581,938,721,889,562,506,892,371,917,538,233,496,200,984,916,836,
864,541,931,032,103,976,214,570,901,067,839,140,366,679,766,140,891,470,764,
861,779,196,895,455,792,251,484,788,229,377,024,464,827,578,236,762,397,333,
383,928,435,450,472,476,107,304,921,988,674,042,357,955,913,657,251,916,021,
330,098,102,764,012,266,871,528,443,109,447,078,924,393,671,639,816,558,700,
601,870,827,304,601,461,125,227,961,512,100,874,847,129,002,928,431,005,433,
699,708,321,653,205,012,455,226,799,285,019,663,893,113,378,683,223,453,148,
424,246,129,591,039,527,855,489,062,890,910,049,506,882,092,413,385,730,364,
340,631,752,656,137,685,670,855,638,925,633,613,311,672,840,439,748,176,417,
100,230,872,405,756,015,198,769,708,288,743,717,281,166,259,647,670,926,949,
061,746,419,859,912,320,522,877,805,750,490,861,184,388,911,639,519,878,917,
770,401,660,856,050,598,029,986,042,380,706,976,933,469,925,162,202,563,711,
918,550,975,865,359,913,354,110,639,782,600,344,333,143,610,219,753,117,100,
471,777,971,474,534,437,459,418,354,961,888,538,654,610,418,823,684,583,903,
386,403,344,126,797,929,867,276,311,360,926,415,290,557,070,633,844,793,752,
164,545,627,862,823,477,882,361,968,086,763,530,296,973,021,615,531,456,379,
116,184,510,674,702,058,176,630,384,060,242,861,343,247,838,175,407,335,661,
357,827,576,741,159,809,839,546,992,414,120,566,920,647,272,603,896,947,117,
260,202,548,369,015,791,826,510,362,434,096,306,243,813,966,828,366,432,281,
566,561,781,809,756,727,095,758,618,081,028,236,928,535,281,083,581,702,649,
797,022,130,504,477,035,245,785,706,438,975,236,935,146,923,680,675,978,827,
962,039,621,505,777,870,292,714,440,578,774,604,285,477,771,536,703,517,299,
309,952,637,640,489,184,910,470,485,181,813,316,248,035,943,517,075,495,525,
820,660,685,957,808,916,699,093,325,396,417,712,055,180,813,438,620,413,082,
483,261,112,685,164,299,651,620,138,577,888,277,606,297,951,428,745,165,032,
969,443,166,215,815,133,637,042,267,997,943,224,967,882,419,510,285,940,455,
826,682,682,904,720,493,831,699,795,323,567,405,723,024,919,005,063,465,173,
368,569,131,296,949,132,838,473,520,219,179,949,463,018,030,786,479,279,764,
844,187,654,001,266,017,813,755,531,840,493,684,862,791,549,145,609,787,111,
217,107,059,863,467,539,054,299,015,950,299,130,252,252,743,292,920,355,978,
972,797,371,870,491,009,024,982,277,591,664,083,380,067,103,665,934,544,760,
989,535,720,330,574,294,071,929,225,864,604,456,781,539,601,861,355,971,660,
716,788,721,610,591,547,213,632,046,194,038,100,320,200,474,188,388,239,749,
921,655,097,960,612,689,919,727,445,832,728,377,763,112,706,626,715,349,814,
624,643,905,751,228,277,044,438,842,142,527,849,194,366,581,372,168,710,641,
589,087,558,154,416,183,330,119,936,699,229,076,287,564,758,011,043,573,011,
488,099,619,258,314,011,488,329,143,414,756,416,831,827,038,479,721,874,973,
692,767,191,550,170,422,454,951,198,334,846,979,704,537,161,891,443,891,585,
216,720,790,093,022,128,386,119,503,003,211,045,292,908,760,454,592,728,506,
177,269,718,356,670,970,240,214,324,875,398,669,195,073,088,096,174,993,763,
486,085,985,295,165,896,587,832,461,913,231,811,653,359,076,435,266,898,575,
775,189,822,139,424,382,717,488,688,020,134,507,055,324,776,475,796,671,842,
712,629,939,294,895,208,865,785,308,724,387,680,851,316,685,605,095,806,495,
054,275,006,569,217,666,233,913,963,646,736,896,540,236,511,303,021,319,831,
157,118,067,466,402,510,642,621,590,794,497,003,369,219,463,455,745,668,737,
865,562,570,483,677,411,152,524,048,505,284,421,207,607,062,364,441,967,128,
752,536,447,059,293,646,188,352,758,217,968,149,570,812,062,391,660,023,459,
416,110,931,537,360,085,776,929,331,502,534,079,854,538,903,130,889,631,168,
112,359,019,069,759,640,186,600,590,981,298,426,821,106,303,478,555,991,032,
793,609,315,738,260,678,096,061,646,525,568,999,654,960,147,040,494,400,640,
782,428,540,606,028,291,435,595,999,741,511,334,531,799,502,706,761,532,140,
900,913,088,227,408,330,473,245,915,380,838,713,265,894,478,423,992,293,961,
171,773,592,139,402,336,922,565,845,167,208,584,213,671,620,769,819,350,527,
334,035,830,733,579,243,597,258,771,124,001,848,668,324,531,692,071,437,325,
722,364,991,807,035,754,825,645,587,920,857,558,793,863,581,859,465,116,509,
637,831,709,901,820,104,618,817,298,113,471,908,425,963,726,267,957,023,338,
127,971,301,860,362,254,713,780,690,177,002,456,785,974,129,475,815,492,325,
004,708,091,270,014,548,825,378,586,166,292,284,389,618,847,247,979,252,627,
340,506,361,254,459,022,651,052,984,553,596,427,904,890,868,046,436,704,328,
693,772,321,243,658,933,621,841,544,208,876,678,730,423,922,165,482,033,118,
127,732,585,397,751,084,024,405,815,438,155,893,225,725,437,792,852,817,628,
245,401,658,233,821,076,862,622,074,203,150,253,370,381,781,433,939,916,633,
881,757,360,806,333,509,399,305,316,026,212,438,262,153,252,688,306,823,664,
631,093,081,529,760,997,784,311,932,002,314,242,018,865,550,220,385,054,937,
760,045,893,972,148,418,519,430,128,978,542,894,941,247,985,161,984,016,705,
854,523,827,037,341,726,542,438,857,420,746,619,111,735,342,890,948,252,551,
452,562,197,481,756,732,084,366,234,711,920,449,035,571,124,968,816,194,388,
829,197,370,246,587,452,972,456,954,568,956,012,090,479,297,098,397,369,729,
596,854,556,449,673,021,209,502,727,663,591,441,326,622,124,674,490,267,846,
258,615,586,166,093,631,436,582,835,110,138,448,581,313,020,491,786,404,132,
580,025,741,723,512,843,434,573,780,539,382,101,270,682,932,788,817,685,289,
895,448,133,326,433,192,425,338,137,393,436,988,703,717,916,844,936,653,208,
666,011,281,393,849,736,192,251,931,061,784,396,259,849,899,718,357,515,771,
964,375,631,585,227,083,068,805,246,496,906,975,725,671,782,022,064,444,346,
960,132,652,021,527,909,269,960,980,884,998,156,105,315,459,598,784,762,158,
165,333,097,784,904,400,735,873,849,915,347,845,075,814,138,443,922,746,171,
487,727,768,226,891,640,022,421,711,345,705,787,297,007,827,627,396,613,681,
558,854,190,073,491,254,267,809,041,719,977,577,448,134,196,777,814,542,247,
713,291,967,754,787,583,289,049,227,252,819,296,691,033,112,397,758,990,882,
043,531,717,587,142,154,783,543,847,138,103,291,647,361,348,547,070,735,629,
436,419,704,456,852,016,199,080,288,740,619,396,627,009,507,826,256,543,225,
319,431,786,585,303,333,825,137,646,676,823,088,478,522,085,321,916,456,988,
121,462,233,960,153,910,325,558,435,468,531,012,264,652,833,975,986,902,882,
074,332,081,195,565,760,107,290,899,971,396,776,965,420,306,813,109,251,679,
464,443,819,771,235,955,287,408,803,993,194,750,333,742,717,180,112,772,494,
025,328,092,963,187,902,040,298,341,265,068,390,363,541,191,362,782,013,850,
965,139,012,937,611,656,779,566,141,773,684,135,909,231,682,959,734,298,314,
789,170,985,402,043,231,585,348,056,056,424,127,236,389,248,982,441,347,759,
260,298,639,149,540,435,974,665,446,340,506,637,453,165,759,788,374,679,106,
620,062,602,833,435,056,508,604,735,501,940,654,247,525,940,076,088,942,333,
312,905,805,655,675,529,485,157,955,778,660,837,863,864,140,956,820,844,474,
114,452,737,688,687,494,791,981,309,057,027,459,025,852,847,716,586,016,580,
584,542,563,586,045,613,216,654,202,292,544,091,872,784,614,894,293,418,682,
131,336,057,172,484,307,676,620,345,756,580,533,169,346,631,864,098,549,662,
618,104,451,515,126,645,171,020,934,577,003,419,123,534,490,474,158,078,081,
059,201,259,751,929,258,938,257,945,788,768,271,922,445,515,933,775,528,788,
784,978,884,423,726,044,557,715,663,403,164,481,705,410,846,343,286,021,455,
083,657,729,619,266,881,808,427,656,071,943,241,782,914,165,423,716,743,833,
670,604,557,440,883,023,824,353,497,452,624,506,605,267,481,952,354,142,129,
166,060,074,030,799,027,063,140,924,300,832,469,316,277,174,755,910,141,168,
534,162,980,123,982,420,384,523,895,202,130,978,330,406,532,817,084,195,956,
380,960,335,960,787,561,528,183,062,527,807,569,201,342,307,518,653,410,746,
101,736,305,433,701,899,644,833,002,303,227,618,984,169,849,980,390,269,997,
484,853,681,319,184,908,198,428,314,480,316,647,707,715,502,863,799,449,041,
808,987,670,053,911,929,715,903,240,186,357,721,117,941,313,203,932,435,727,
777,189,543,782,231,228,762,186,662,074,171,867,154,828,137,779,194,239,691,
509,839,269,463,195,080,717,542,165,578,862,847,395,500,865,281,929,553,005,
034,115,660,230,129,744,560,848,277,654,333,104,705,707,601,082,205,709,520,
630,079,522,824,462,158,408,122,176,484,311,125,779,146,138,878,209,892,789,
268,320,989,396,465,814,510,300,780,085,815,022,821,748,342,304,133,300,290,
567,142,477,355,245,722,623,564,822,673,728,245,498,709,152,809,543,366,042,
460,293,994,671,696,472,101,145,319,315,505,871,590,910,968,821,239,368,741,
691,503,081,017,279,141,516,974,594,713,329,576,351,295,723,018,386,215,422,
997,268,325,826,368,587,023,648,765,201,054,191,199,241,908,551,035,504,270,
885,932,074,748,975,231,855,642,036,856,379,487,148,599,971,867,196,046,342,
854,700,148,089,884,912,963,215,541,610,114,917,495,788,902,057,526,606,785,
850,073,274,745,779,494,070,525,184,653,996,522,830,516,071,990,960,641,989,
186,148,516,275,249,486,476,160,913,056,052,320,917,918,266,000,070,173,257,
149,328,912,001,221,631,372,312,342,061,362,677,772,535,154,456,275,336,676,
483,744,986,746,485,384,698,439,270,225,674,594,549,569,959,296,491,380,163,
875,945,782,256,982,812,648,203,422,885,909,419,515,148,649,167,937,038,976,
906,023,809,701,346,563,228,493,616,842,270,461,273,433,885,240,329,072,814,
061,754,715,418,248,386,060,206,559,604,128,390,272,935,939,663,447,680,116,
648,266,798,218,475,932,542,812,221,004,420,034,720,058,468,841,536,755,472,
788,354,209,003,763,997,821,235,288,151,168,596,669,780,132,312,677,385,098,
817,989,974,486,830,818,380,757,166,566,955,981,431,940,673,811,627,225,678,
646,776,793,769,814,083,072,966,062,974,671,732,263,281,358,149,509,410,224,
063,896,898,680,268,665,427,734,912,785,404,925,389,553,320,343,725,873,870,
082,772,965,569,701,427,639,939,620,020,802,195,066,291,892,040,087,246,694,
453,396,280,264,376,166,471,605,639,173,211,825,593,152,908,798,087,806,062,
906,380,207,460,362,894,522,918,445,351,628,859,964,430,712,103,619,566,972,
608,877,165,816,378,052,981,412,436,479,639,794,031,774,344,133,967,683,759,
608,872,387,332,240,555,691,775,930,075,642,002,032,855,655,513,829,049,331,
793,284,381,448,446,794,991,037,560,394,999,592,088,119,606,461,127,601,893,
933,366,552,870,453,591,943,157,807,212,477,840,854,892,330,656,347,339,907,
462,319,101,609,039,237,955,415,696,866,913,297,411,875,355,106,222,126,156,
179,142,014,296,637,605,991,827,751,159,191,782,601,132,059,442,616,739,671,
545,372,012,310,630,294,219,652,967,252,194,786,859,214,800,512,643,150,514,
453,238,011,291,199,276,826,768,631,510,214,781,026,944,787,404,551,720,473,
217,909,879,084,444,053,452,926,000,857,029,221,181,407,050,920,171,564,027,
392,492,194,117,544,153,397,854,022,116,185,013,681,587,205,903,637,820,092,
800,387,590,420,865,739,883,378,382,925,776,699,065,900,962,953,012,858,028,
700,813,670,244,766,622,906,129,874,283,670,567,619,856,226,664,607,354,496,
804,445,895,670,847,558,524,779,349,931,066,605,805,209,182,746,277,916,096,
843,848,459,626,124,368,653,195,266,747,844,592,940,531,537,001,555,579,079,
357,729,728,146,598,125,532,831,834,041,356,257,829,551,659,964,844,770,128,
414,923,422,314,081,052,901,222,106,128,012,373,928,003,047,377,858,471,639,
053,361,914,532,364,857,444,517,582,233,905,238,280,654,862,922,735,701,044,
811,356,367,290,331,382,462,704,241,231,410,261,818,007,152,475,308,273,509,
258,989,946,045,847,087,550,493,768,121,466,484,364,785,643,427,594,899,393,
556,282,182,279,751,018,444,464,305,628,205,234,729,822,414,427,568,866,472,
228,867,629,174,424,708,546,382,872,473,678,474,897,515,149,423,200,849,017,
599,154,085,682,753,093,050,523,797,333,089,231,990,755,732,231,585,783,480,
782,245,092,439,154,772,185,597,828,183,322,517,863,952,197,453,606,614,369,
665,435,465,822,905,207,387,237,292,540,864,082,332,263,844,332,825,723,774,
180,300,468,500,186,267,728,142,257,904,036,492,683,992,076,748,021,366,951,
661,838,963,714,832,904,343,749,725,652,713,826,545,414,328,073,214,024,989,
774,870,624,162,296,767,242,858,350,517,826,234,484,363,196,581,089,691,031,
511,154,822,840,228,123,254,004,631,930,656,449,207,031,219,742,880,549,291,
750,639,718,119,407,827,001,420,181,753,594,653,692,745,248,359,517,022,931,
516,248,483,310,182,781,521,218,903,479,077,460,125,729,014,614,336,487,891,
693,682,738,091,739,225,277,940,142,498,441,237,357,016,335,653,325,413,590,
838,810,575,947,255,399,654,182,457,292,505,623,772,826,026,593,656,396,447,
319,845,108,911,159,013,752,866,166,991,548,248,443,028,226,243,857,535,091,
116,803,684,172,236,533,201,551,630,059,935,839,991,229,592,529,389,931,564,
827,643,179,209,793,605,206,216,766,088,309,447,383,803,977,670,771,392,778,
948,844,635,131,875,995,986,999,897,849,589,351,846,419,582,978,780,792,451,
201,802,406,498,925,936,259,153,118,846,350,885,501,196,107,086,072,112,820,
074,043,374,925,444,396,383,847,146,692,406,562,723,415,515,762,721,601,458,
640,168,087,014,877,509,883,135,019,965,285,913,690,995,512,755,938,366,947,
990,195,548,337,810,797,298,493,039,633,122,839,598,539,492,944,082,073,693,
758,202,482,999,305,785,848,887,315,504,677,828,938,625,321,393,100,088,542,
246,340,232,221,047,045,449,826,990,658,251,433,741,168,458,183,712,064,755,
778,102,197,970,839,547,307,237,613,896,732,362,271,732,383,044,252,201,079,
994,682,350,408,306,923,095,938,856,261,563,778,289,705,416,398,317,906,612,
747,769,442,081,335,987,892,881,436,525,998,293,334,353,193,564,873,453,448,
283,422,340,555,181,965,463,625,747,141,316,374,949,342,943,109,488,252,323,
860,105,958,767,851,450,880,198,615,845,375,544,038,190,766,448,053,154,735,
977,497,682,103,678,265,666,093,121,353,547,933,845,735,860,105,021,105,573,
922,882,708,796,137,544,511,892,592,404,001,998,674,210,841,112,774,980,780,
041,212,690,041,608,702,252,832,109,248,715,646,322,971,251,235,606,451,076,
638,046,379,433,292,896,566,087,609,459,930,692,934,381,614,201,835,592,298,
924,576,354,844,333,846,418,669,827,740,277,817,295,338,955,320,230,315,359,
219,756,254,608,425,254,226,204,252,977,250,454,796,834,923,387,372,862,710,
934,794,826,185,304,869,371,539,967,866,727,835,191,640,656,869,719,022,635,
762,107,067,634,181,618,811,543,964,348,023,587,930,480,233,443,247,832,770,
199,738,706,632,996,649,783,824,962,998,549,699,727,967,316,056,504,746,501,
960,357,817,541,101,173,969,341,158,166,990,118,740,887,763,012,726,840,139,
500,788,580,729,047,632,339,249,504,512,320,971,379,222,717,000,387,627,974,
301,079,029,373,508,138,642,989,704,910,833,727,491,118,615,148,550,837,616,
475,032,382,123,487,556,689,586,255,570,294,851,019,019,482,700,163,292,497,
964,075,032,085,723,064,769,218,239,763,271,207,641,185,744,069,060,110,758,
625,925,946,504,568,333,644,315,212,324,134,468,218,320,145,281,111,131,560,
942,274,829,848,512,427,518,550,950,569,461,451,605,081,173,685,071,756,079,
219,066,138,516,323,595,128,090,506,891,696,434,770,215,363,420,305,177,694,
230,538,434,945,993,775,820,052,582,857,449,198,162,941,739,503,835,310,011,
517,226,168,439,633,833,571,730,184,004,338,445,405,736,719,326,914,504,631,
815,581,200,374,626,972,451,947,374,033,654,841,766,327,105,592,834,832,718,
392,028,363,096,269,122,974,486,472,006,313,923,401,217,555,704,330,892,794,
028,399,486,367,829,245,936,725,059,798,569,388,791,787,092,920,046,278,374,
536,032,283,484,775,283,308,455,285,332,755,455,885,928,152,868,880,415,017,
898,525,987,995,900,797,609,748,095,881,244,375,363,217,793,127,511,818,210,
719,105,491,956,529,873,231,918,640,522,904,154,641,710,484,480,699,617,220,
793,348,630,820,881,392,706,563,799,522,017,261,223,122,820,239,350,559,226,
284,414,637,515,285,163,385,284,656,931,372,638,467,351,360,579,482,715,069,
577,334,049,471,007,792,714,235,659,403,744,212,539,807,636,448,623,128,134,
033,108,337,663,436,551,267,790,829,463,090,900,188,369,851,572,241,629,329,
825,807,944,250,855,010,808,927,131,985,054,226,182,679,762,306,775,461,239,
448,123,452,874,776,237,551,441,278,482,706,042,720,121,219,700,595,628,194,
752,661,226,395,760,391,682,617,015,967,686,539,080,403,105,019,957,366,811,
558,007,619,059,413,551,112,628,798,528,575,226,431,413,497,363,449,451,215,
852,532,895,024,912,789,628,275,194,944,934,788,341,166,558,439,827,053,286,
338,261,554,438,012,608,579,620,640,239,501,010,505,430,219,028,473,326,882,
509,645,791,161,943,192,409,751,198,054,752,415,652,295,325,201,606,293,567,
988,531,726,968,485,376,449,845,441,524,022,237,633,186,431,550,221,710,441,
100,719,378,263,141,323,754,955,568,201,934,922,290,551,116,870,365,936,453,
997,868,612,023,807,841,839,763,406,087,596,080,072,706,247,868,889,569,216,
170,919,642,799,290,422,721,610,503,926,405,517,829,771,022,699,847,827,876,
060,486,829,101,756,843,985,721,479,994,064,265,444,790,070,050,490,297,439,
229,570,176,876,140,658,074,600,464,531,611,324,617,508,629,669,164,393,992,
190,917,743,748,300,057,437,808,941,891,430,426,561,743,478,129,052,270,372,
663,894,341,259,676,947,284,563,087,645,456,247,670,406,649,996,988,270,768,
634,143,541,383,832,888,421,743,176,141,429,795,394,739,626,338,062,764,563,
141,096,738,113,263,473,260,104,387,613,921,893,693,472,298,019,605,500,410,
954,459,669,947,780,732,294,122,916,012,511,404,236,910,765,585,813,248,724,
918,292,043,401,734,133,319,878,656,879,668,672,894,648,212,173,207,059,811,
119,866,985,716,088,380,394,156,480,040,453,164,295,674,029,401,622,986,764,
811,746,798,389,009,148,160,070,064,845,397,672,755,258,413,785,286,384,754,
088,973,199,698,947,203,607,140,368,113,342,402,818,209,936,705,465,929,626,
790,791,855,295,463,736,528,391,168,632,707,756,208,286,023,822,027,252,101,
264,155,272,007,448,937,502,109,472,106,715,378,404,254,370,860,638,757,309,
282,505,752,977,427,573,801,845,569,590,811,640,118,441,198,832,875,435,679,
961,778,310,077,945,005,732,934,580,568,737,885,732,187,017,885,607,543,403,
174,957,390,268,626,484,442,155,467,189,341,828,791,823,510,561,373,692,965,
599,187,305,894,359,464,813,682,013,571,314,958,223,660,665,791,068,408,947,
494,131,823,229,154,520,886,307,519,496,567,747,208,625,127,920,655,877,211,
499,596,384,512,582,543,150,203,366,138,002,235,773,375,029,767,472,346,544,
996,665,776,577,969,095,360,525,459,340,290,378,633,583,148,265,822,882,062,
991,913,495,683,178,733,365,031,518,313,906,826,043,592,076,053,914,664,805,
490,391,204,595,139,629,839,566,729,770,646,542,283,050,616,648,310,032,346,
464,063,413,009,422,246,031,697,116,420,123,547,165,136,544,060,189,093,264,
403,312,895,836,266,250,493,691,359,106,819,243,467,063,259,738,509,879,397,
897,402,188,053,070,141,325,171,767,596,062,717,081,043,549,198,560,279,916,
221,276,398,666,551,884,496,168,712,680,798,104,049,713,612,008,926,994,751,
000,049,388,656,213,646,021,387,605,928,113,314,889,289,452,508,618,758,223,
841,921,285,812,942,691,398,490,227,754,598,417,492,386,226,558,080,016,037,
874,890,712,053,426,087,953,071,313,494,740,480,688,687,531,324,382,573,354,
298,687,347,894,402,208,943,416,958,640,432,707,303,517,183,044,173,360,738,
470,957,985,018,279,116,354,451,889,230,473,604,944,370,621,306,656,333,345,
796,022,923,125,487,007,833,243,424,437,714,666,161,472,776,073,285,774,864,
878,907,851,016,472,644,169,620,690,208,925,279,364,339,535,158,618,975,189,
325,220,887,991,685,771,205,884,245,951,091,237,661,661,932,997,745,495,348,
626,961,911,263,693,622,436,631,944,640,431,692,125,337,488,072,816,054,772,
092,199,929,329,102,108,957,578,057,705,020,937,676,200,107,475,488,880,499,
103,039,281,194,563,753,939,291,548,637,572,746,872,272,723,439,666,775,521,
591,823,734,713,461,575,405,791,865,924,954,319,312,088,812,583,845,241,840,
206,707,598,790,222,443,535,624,878,834,217,030,182,264,653,526,346,236,706,
431,368,086,011,182,450,033,779,097,119,120,132,282,729,388,827,140,368,502,
279,618,303,453,540,956,189,574,742,906,456,041,160,672,244,812,622,394,979,
006,187,113,587,728,722,163,414,199,111,195,010,324,744,704,281,597,911,229,
475,773,765,702,121,155,975,514,739,089,162,199,044,552,820,731,166,282,347,
409,666,385,913,847,875,498,819,098,359,708,690,719,975,927,490,840,896,299,
639,054,890,284,904,143,193,707,908,401,345,232,946,468,861,203,701,505,319,
912,079,724,214,976,812,416,902,266,882,589,793,231,311,764,700,395,723,486,
632,935,693,941,560,344,535,858,894,341,998,933,238,709,324,066,185,304,784,
132,915,877,403,160,989,936,844,767,400,220,491,970,925,522,467,091,793,040,
574,129,542,008,036,753,468,469,358,872,735,418,042,551,099,582,253,634,306,
705,567,192,042,524,749,842,489,512,660,242,902,055,305,039,533,262,083,355,
074,750,788,986,802,401,455,674,714,470,366,310,192,018,111,672,853,802,288,
586,321,979,064,629,036,731,145,584,541,463,413,224,362,212,487,036,719,677,
662,416,386,474,991,707,869,040,015,574,025,482,575,434,965,749,609,790,090,
967,600,969,830,027,736,573,851,091,048,923,692,503,528,132,675,029,461,229,
379,230,247,110,217,569,198,556,232,741,128,191,364,453,785,048,150,131,681,
472,846,305,835,619,336,742,282,289,709,307,393,698,601,028,762,739,592,504,
584,224,381,690,492,373,135,314,127,189,603,234,851,603,356,374,123,600,410,
273,746,048,042,521,903,229,782,172,064,945,024,531,321,415,354,917,991,429,
072,616,637,873,265,353,776,951,467,781,405,118,391,352,944,138,445,213,279,
097,010,348,930,425,930,535,365,746,025,255,591,423,787,001,679,878,851,512,
908,129,778,656,167,607,752,807,799,999,681,077,446,704,428,228,319,865,942,
645,349,858,628,061,665,927,436,306,127,831,600,405,850,274,217,249,852,723,
007,155,077,665,364,475,585,536,454,916,941,042,541,819,480,920,335,389,380,
215,379,737,255,564,434,815,594,463,409,728,951,211,189,697,501,244,768,080,
952,851,642,406,459,567,415,474,670,064,835,985,479,326,461,384,902,371,563,
024,986,203,211,121,113,526,656,398,712,564,206,078,236,647,850,179,099,930,
568,006,611,222,777,305,530,895,686,188,638,663,283,198,119,599,441,177,109,
399,286,623,043,228,388,823,730,497,067,760,782,094,728,198,155,611,685,383,
764,549,651,359,076,496,622,029,827,783,865,146,685,589,544,043,573,191,526,
499,873,307,853,415,974,090,633,340,985,184,425,297,441,059,125,997,908,188,
265,957,545,204,671,331,854,604,290,812,413,160,397,231,637,818,026,356,809,
271,962,846,164,771,067,800,384,705,985,228,646,821,878,553,379,250,083,495,
683,166,972,482,863,796,764,317,693,887,554,572,317,118,926,281,039,526,062,
496,317,616,166,276,349,970,184,322,266,801,843,833,024,834,174,017,078,819,
464,571,663,431,918,887,140,188,542,681,847,770,893,035,407,860,352,764,010,
335,935,884,502,840,909,730,881,619,200,782,075,500,974,171,530,311,238,424,
627,848,693,076,816,542,455,803,524,789,614,051,830,836,478,919,085,639,607,
529,899,591,022,038,473,079,810,321,110,276,211,269,490,110,086,725,135,601,
438,049,713,591,561,777,441,466,414,916,983,844,511,129,158,984,000,626,162,
391,884,146,835,519,404,118,407,468,556,832,913,629,246,594,593,669,663,834,
208,695,288,456,679,911,295,450,385,211,725,964,072,935,351,115,850,638,564,
035,214,573,058,048,970,883,940,255,222,107,454,266,464,455,348,648,404,271,
631,647,014,549,044,879,346,056,693,502,688,660,506,351,084,124,264,655,975,
701,658,203,320,445,585,703,725,348,481,567,209,787,349,084,413,522,946,877,
566,991,437,305,663,361,627,096,208,153,176,042,978,453,330,020,321,914,251,
310,270,812,286,087,543,054,837,330,786,905,076,524,263,984,230,067,357,680,
785,748,392,213,821,966,565,131,333,907,724,968,649,717,649,261,417,337,962,
498,745,050,024,501,959,738,933,743,580,219,999,238,622,593,722,544,828,543,
870,145,300,201,968,419,611,535,814,732,634,558,874,652,095,642,631,741,539,
702,539,355,049,638,054,325,436,423,785,166,988,156,169,553,790,575,773,094,
843,537,275,990,471,748,793,237,573,774,471,973,685,918,665,222,460,132,235,
295,723,211,945,343,687,408,550,583,143,166,002,105,601,258,071,419,711,789,
019,852,865,285,199,374,454,889,605,946,618,848,276,549,373,581,552,871,779,
647,772,459,333,956,229,497,220,012,587,706,193,518,442,524,066,074,657,440,
804,924,205,784,403,818,092,755,526,763,705,658,949,946,033,458,363,722,254,
117,049,903,491,817,918,547,600,564,051,631,481,144,404,219,741,002,965,725,
497,878,303,808,632,339,266,198,744,731,266,083,918,845,300,369,373,201,525,
385,076,705,917,572,310,953,674,123,716,200,510,576,914,975,997,342,989,012,
539,299,934,349,839,469,462,538,337,352,749,096,614,887,160,540,573,193,241,
760,373,151,732,693,766,300,319,973,490,140,893,422,809,282,869,521,188,244,
005,987,247,081,160,681,157,791,455,853,674,309,243,375,099,575,523,437,804,
244,801,355,608,424,787,804,211,149,981,132,828,518,400,146,182,541,696,403,
877,750,094,696,122,367,820,411,293,360,841,887,621,729,316,434,067,727,457,
356,022,264,141,740,406,435,046,565,683,263,123,604,972,166,240,505,924,206,
272,667,474,495,450,813,449,953,802,925,150,686,464,401,397,755,465,624,701,
964,849,537,635,842,222,163,294,412,054,633,625,928,340,107,677,731,850,360,
156,706,362,707,958,659,866,420,703,240,552,942,060,967,502,116,726,533,020,
861,238,573,095,611,156,594,880,078,184,379,369,139,843,725,051,602,456,591,
953,634,537,704,791,062,610,235,602,234,265,237,196,426,682,097,025,501,466,
032,079,678,183,989,784,838,881,491,115,131,207,324,434,901,235,490,329,109,
747,193,231,825,281,204,465,759,799,189,110,685,577,211,275,716,987,948,847,
232,487,955,109,177,125,547,414,656,048,722,299,838,168,093,208,821,298,778,
889,816,555,325,871,233,557,183,668,310,600,093,626,881,675,149,237,559,538,
251,444,335,617,117,954,322,993,737,412,145,470,619,937,009,895,156,480,578,
914,953,018,188,921,659,269,549,825,817,391,265,772,570,250,660,439,538,843,
774,936,407,970,756,015,465,040,487,925,047,020,102,646,089,048,131,428,882,
857,341,058,542,756,799,778,178,355,722,154,345,820,067,962,956,440,689,100,
797,033,140,632,359,695,018,908,463,473,570,332,648,605,247,187,213,282,541,
522,281,896,752,496,350,505,141,741,777,203,467,055,795,010,287,987,880,115,
348,651,643,665,072,080,894,741,684,912,325,280,920,483,525,179,285,928,606,
851,406,476,377,629,644,089,983,960,581,611,913,746,167,840,852,270,721,681,
900,991,442,947,931,280,634,404,731,487,065,014,939,189,748,997,596,037,317,
841,271,546,637,296,156,656,006,687,727,793,793,826,972,192,829,225,000,125,
124,314,149,773,036,535,306,287,949,025,745,953,967,893,503,772,240,568,739,
819,041,515,554,477,001,559,062,563,363,608,622,768,855,864,344,937,511,767,
873,235,743,701,090,656,165,460,220,384,661,742,128,371,082,129,875,624,114,
683,850,776,744,264,195,292,572,632,148,331,301,086,045,787,336,470,252,703,
731,978,943,491,179,983,309,635,881,981,489,306,229,002,347,281,165,393,839,
432,577,129,436,722,932,377,165,692,390,441,118,702,306,833,615,286,548,401,
816,545,280,144,425,791,147,918,160,296,792,032,050,421,004,351,967,784,612,
604,974,294,937,341,858,371,428,225,238,758,136,814,669,280,118,822,776,774,
594,913,286,017,858,041,331,673,442,852,441,924,179,170,245,083,552,545,614,
559,130,343,073,824,933,864,936,397,062,883,933,779,325,805,721,902,354,274,
477,205,922,751,755,875,021,585,867,231,409,507,198,572,720,142,760,856,807,
106,487,677,646,782,046,940,699,095,780,628,688,246,642,349,467,360,747,619,
502,660,928,669,272,099,464,800,727,822,334,185,568,366,640,126,969,712,657,
141,642,686,964,489,323,085,815,821,070,043,833,479,981,759,173,466,918,430,
628,867,531,281,719,114,904,130,626,053,231,265,703,404,041,404,162,958,862,
782,687,198,555,121,167,589,377,087,889,463,353,453,526,113,149,209,732,166,
067,466,700,611,119,475,205,105,260,527,746,454,721,040,799,339,464,652,420,
951,986,457,741,199,489,307,836,463,812,584,541,419,734,439,811,372,826,280,
637,769,478,757,353,125,659,219,764,004,898,830,860,211,669,235,327,447,746,
064,971,769,193,176,819,692,078,386,284,266,249,440,521,047,749,767,339,454,
220,497,517,809,466,352,376,491,832,787,128,411,675,289,650,997,229,264,635,
881,723,130,070,204,331,303,674,433,054,587,689,087,507,993,046,290,727,415,
664,120,430,049,232,640,297,298,621,446,377,817,485,161,998,869,241,597,965,
938,813,723,819,173,035,424,973,564,335,178,150,312,175,157,085,363,764,892,
485,947,355,429,452,202,328,574,798,733,961,733,205,428,605,576,403,989,726,
340,512,629,734,478,332,291,890,300,565,976,239,336,571,585,222,535,284,701,
124,245,642,504,559,923,476,894,699,515,410,256,666,578,265,777,830,202,386,
203,620,528,089,776,852,205,525,364,999,891,817,464,118,478,403,791,560,771,
501,836,820,955,302,143,501,362,633,152,398,573,591,582,981,251,724,149,281,
508,528,804,667,249,149,344,175,854,058,590,304,165,656,723,227,312,485,027,
130,726,403,350,451,291,775,559,106,845,591,882,469,756,205,353,666,298,931,
090,094,209,883,402,172,854,722,703,824,607,102,095,513,396,289,900,884,069,
270,704,696,219,302,735,546,247,821,732,393,675,422,344,369,602,925,112,824,
436,539,134,327,514,986,161,890,950,623,613,963,438,337,079,041,368,457,029,
741,014,625,950,650,384,444,384,697,139,413,041,825,523,891,301,598,616,305,
824,918,092,794,613,795,313,454,259,110,997,088,787,435,606,779,456,724,030,
961,307,042,704,998,659,413,677,262,274,405,569,616,960,017,602,151,558,471,
387,875,653,423,273,870,247,704,544,213,576,311,822,137,233,413,923,740,472,
263,401,108,574,350,841,029,115,991,464,909,657,631,649,018,521,295,139,629,
717,047,314,584,818,759,251,112,135,978,310,349,324,388,136,779,093,920,275,
104,343,865,840,051,434,142,238,543,163,464,770,223,756,744,885,094,597,895,
231,828,547,064,086,050,247,725,174,609,488,658,692,982,476,354,492,411,893,
733,337,473,389,336,819,374,915,734,702,700,797,473,856,190,546,220,348,855,
981,899,239,935,013,643,347,904,633,403,545,785,411,308,817,569,728,230,353,
738,608,249,147,009,307,506,630,144,454,200,965,195,105,050,803,766,403,952,
638,314,305,191,392,528,704,206,641,972,492,879,925,693,439,139,450,679,433,
340,022,514,962,225,182,812,245,434,463,898,502,336,856,250,768,554,301,576,
565,150,845,939,126,619,753,919,185,626,967,547,598,453,561,055,901,552,962,
318,340,084,848,753,252,880,139,415,223,711,097,779,006,451,706,130,443,318,
855,989,482,453,566,697,987,480,756,081,807,678,972,309,513,028,174,253,921,
421,418,530,909,126,035,639,086,084,120,694,746,914,377,253,556,097,329,275,
166,356,982,765,863,771,951,741,611,146,314,574,537,445,632,201,182,980,510,
594,827,871,895,583,936,796,360,638,736,224,955,246,041,786,873,714,176,412,
414,420,205,888,511,633,973,332,492,665,059,419,985,019,889,150,529,321,933,
010,814,608,905,303,108,576,757,145,038,604,201,472,424,994,199,865,456,111,
969,207,368,741,351,966,955,400,127,734,585,600,984,760,844,258,715,159,566,
424,889,933,139,408,181,876,970,627,120,500,522,700,460,798,900,211,225,463,
058,120,994,000,035,448,010,905,977,113,070,786,376,304,593,737,937,329,157,
359,853,848,743,062,401,103,782,360,414,778,544,423,601,522,814,290,489,049,
614,720,887,073,324,929,059,758,445,648,646,905,732,395,989,279,508,212,773,
676,359,705,743,085,871,044,374,640,223,340,454,222,241,902,950,415,332,970,
061,626,520,242,401,962,182,819,990,013,320,063,436,277,653,669,831,013,576,
175,263,682,972,546,016,517,346,043,897,439,812,302,377,169,210,191,384,049,
468,114,516,016,523,103,951,828,081,977,430,829,637,606,782,467,828,341,971,
495,566,449,051,851,996,650,537,616,757,992,103,432,787,300,117,704,167,212,
774,955,242,194,728,108,192,939,832,263,388,496,164,066,790,191,351,575,993,
630,480,600,496,541,211,013,685,193,432,965,809,342,363,107,214,409,909,631,
718,430,231,719,962,544,654,320,412,187,616,134,546,089,873,642,257,999,232,
426,944,530,175,436,510,772,507,764,685,538,269,045,182,340,785,044,197,933,
582,678,603,921,111,753,616,402,390,604,619,076,813,586,289,899,108,756,521,
879,988,085,952,025,352,951,761,237,289,098,390,943,973,318,150,041,871,433,
724,861,363,916,379,062,244,373,345,971,145,048,221,515,564,129,116,863,635,
773,815,632,396,479,093,075,343,853,549,244,390,513,982,985,880,455,877,422,
518,346,134,895,703,511,157,370,261,733,622,785,122,598,135,990,922,559,539,
552,555,616,930,799,037,691,398,409,490,445,485,265,389,327,612,690,275,708,
193,273,807,259,659,146,688,089,601,171,249,750,017,622,397,170,828,842,868,
343,925,078,283,885,970,307,473,379,409,866,992,818,777,503,757,039,162,741,
554,984,145,782,802,054,761,448,013,389,150,720,982,559,039,935,590,856,699,
372,542,263,999,002,367,297,189,128,902,510,917,200,362,105,104,249,448,328,
670,479,851,521,121,352,133,397,901,756,792,721,676,885,112,937,280,235,153,
614,872,250,726,929,055,030,245,197,184,298,011,580,886,621,160,844,924,673,
998,941,505,706,925,501,543,007,393,838,844,551,884,839,433,336,061,438,113,
370,194,685,929,474,110,330,769,967,208,862,370,748,256,705,587,418,464,992,
554,237,316,722,091,329,713,577,955,601,391,227,177,640,247,909,245,462,751,
272,322,880,915,802,051,395,748,371,460,090,074,911,812,869,751,996,559,317,
017,673,354,931,474,484,118,111,568,417,808,956,928,890,135,523,482,084,353,
806,224,171,549,282,084,888,827,067,193,753,606,451,254,735,386,943,679,707,
373,671,336,536,431,550,779,194,424,867,079,628,727,863,096,465,465,669,509,
503,142,769,324,515,721,542,126,476,191,062,600,014,026,715,819,940,548,655,
423,578,087,394,490,682,176,165,944,659,330,693,789,759,578,582,592,797,517,
953,232,651,195,092,188,190,826,292,267,538,039,036,721,986,357,953,354,579,
430,096,090,442,048,896,464,244,602,665,146,287,144,868,269,535,160,488,163,
636,718,576,166,449,662,572,174,801,435,322,451,909,243,240,742,646,694,089,
011,090,508,115,907,332,516,120,746,976,551,925,495,888,912,953,683,859,149,
475,940,312,528,966,023,064,785,011,421,320,213,706,287,256,670,361,487,947,
832,621,038,670,238,649,060,486,805,721,526,435,566,915,728,021,098,010,963,
286,956,173,313,472,016,612,385,867,883,841,563,003,527,754,833,286,343,825,
743,334,017,976,228,430,437,353,814,864,364,098,386,284,736,396,651,273,164,
448,292,981,688,850,733,427,808,047,497,965,992,679,274,165,198,072,173,119,
719,099,586,335,412,319,738,463,988,438,379,234,241,969,460,738,817,991,759,
929,048,784,067,917,984,489,008,854,008,355,444,537,021,283,003,700,489,406,
343,653,200,005,601,390,104,946,328,654,417,912,922,585,262,175,897,460,512,
287,487,524,308,146,667,499,252,669,388,344,570,693,816,660,837,404,062,777,
590,045,889,366,278,742,135,560,954,572,553,878,056,911,692,485,983,482,551,
625,731,728,156,066,805,963,246,653,865,917,826,203,095,917,605,307,442,517,
729,125,520,189,217,911,472,885,837,797,113,157,176,724,852,268,621,546,741,
250,878,974,253,844,991,924,474,672,921,098,525,869,537,128,605,229,778,433,
232,600,432,270,816,538,683,536,928,168,686,390,473,003,760,707,828,669,906,
643,649,438,459,594,546,875,100,371,628,085,284,064,053,346,894,466,818,314,
470,475,120,742,746,151,892,529,819,223,286,696,755,755,450,224,999,599,593,
015,122,292,614,518,658,687,500,790,738,941,440,247,514,674,382,258,611,630,
220,590,345,350,437,806,350,656,043,196,846,693,404,334,182,402,028,923,858,
373,142,544,302,785,978,719,090,169,200,939,870,027,895,996,055,112,336,319,
393,489,298,399,482,717,437,567,633,864,343,460,384,594,300,083,422,128,226,
085,450,114,895,709,722,446,778,606,311,719,553,513,770,981,309,189,005,418,
180,441,538,310,521,589,453,234,890,988,374,483,369,410,555,736,423,280,394,
183,485,050,401,450,713,589,767,072,253,125,356,423,433,824,069,753,961,387,
230,938,684,491,699,696,012,037,919,702,247,167,812,683,365,998,538,787,168,
101,458,519,679,609,871,535,866,183,361,175,391,685,482,330,659,054,068,758,
570,487,188,746,549,261,633,322,282,736,104,432,793,177,738,732,950,241,556,
334,125,164,413,940,360,124,808,347,138,530,346,851,282,506,316,113,494,926,
102,104,368,611,033,743,161,464,332,263,740,400,408,406,717,897,246,521,777,
355,304,737,900,294,778,419,081,195,226,306,484,107,227,466,344,193,378,327,
979,185,630,878,568,767,351,931,430,845,350,087,513,468,378,420,012,910,276,
234,387,988,260,114,678,661,787,709,236,358,643,032,402,066,393,070,749,122,
507,388,113,178,687,140,146,933,288,007,817,010,471,066,612,077,827,875,632,
285,914,407,810,105,111,012,020,246,574,661,547,726,684,649,107,498,441,659,
702,900,541,893,032,920,459,516,112,001,717,403,262,266,603,175,033,271,183,
737,323,433,759,041,349,360,957,501,682,693,713,881,809,837,808,273,465,243,
460,942,323,477,164,402,703,112,221,863,717,399,020,912,884,889,141,834,681,
356,255,991,490,535,745,014,909,639,054,873,783,704,336,198,032,010,416,587,
152,757,853,536,367,882,190,106,151,454,481,841,561,391,699,881,605,617,714,
177,579,222,153,066,912,602,267,513,910,829,705,092,430,313,918,527,844,356,
953,135,216,802,476,394,073,048,625,402,722,983,855,109,503,821,636,847,828,
324,555,828,795,645,395,203,618,981,137,052,051,155,883,565,160,802,744,130,
081,622,196,200,467,881,500,578,033,161,316,248,759,525,975,136,462,814,795,
417,366,199,447,563,164,033,902,284,986,158,924,022,482,775,303,641,599,708,
380,587,684,716,368,419,276,961,794,642,196,790,670,002,379,050,784,441,699,
219,840,273,179,615,413,246,117,780,261,217,191,038,191,118,324,832,213,668,
946,302,964,771,146,538,781,579,554,572,615,841,876,163,900,709,953,754,014,
034,205,765,290,402,037,222,408,255,292,146,521,748,546,238,971,155,329,349,
537,956,982,469,685,338,468,047,431,881,600,329,686,216,565,762,594,641,943,
559,991,821,700,267,065,797,073,320,561,108,948,331,806,993,613,126,761,708,
883,497,109,412,147,442,710,782,307,498,605,513,607,881,076,697,515,244,194,
634,368,209,958,196,050,397,393,038,456,581,838,213,508,701,632,354,568,587,
585,233,219,294,066,047,017,046,876,236,927,828,880,246,898,218,442,462,115,
721,186,663,145,071,626,424,624,103,652,042,150,775,820,198,545,662,906,202,
972,051,920,481,093,291,686,961,398,503,619,048,235,259,922,050,403,635,104,
802,435,251,688,535,130,128,272,734,583,566,375,199,592,690,070,188,508,023,
820,760,471,538,561,629,701,042,175,321,362,348,339,786,382,778,618,505,026,
132,076,664,297,171,302,294,634,579,722,867,041,372,348,231,652,137,246,356,
737,552,263,120,618,176,784,520,974,070,973,682,284,215,788,627,080,850,039,
492,561,866,493,381,787,270,424,742,790,872,292,115,246,310,586,263,378,177,
733,991,429,298,664,851,505,493,968,966,040,049,098,215,969,260,782,597,364,
354,700,989,837,906,220,611,159,474,045,235,946,303,549,563,560,458,289,545,
585,027,360,219,019,523,816,323,743,938,475,160,550,504,410,954,248,758,589,
871,889,940,225,397,213,975,858,840,909,639,865,323,264,557,732,972,852,948,
234,926,079,346,591,843,536,218,140,896,338,620,138,050,534,068,871,304,886,
528,144,544,021,749,933,474,433,420,425,949,275,078,060,878,524,663,013,480,
821,381,027,738,706,414,825,403,408,658,229,762,696,019,947,658,667,351,237,
341,811,915,235,183,591,328,032,586,859,736,990,006,630,049,990,141,384,181,
399,252,322,876,094,089,341,057,182,083,576,348,735,577,756,106,491,543,073,
321,484,820,669,598,940,842,683,465,998,914,477,633,222,188,289,756,385,247,
235,068,217,539,268,877,161,654,598,121,582,375,775,742,482,301,274,896,756,
404,313,432,343,520,030,010,401,670,518,409,329,592,417,823,577,114,088,257,
328,350,341,968,325,037,222,388,399,957,714,204,792,936,024,013,429,883,873,
800,520,799,840,485,968,054,915,785,116,214,496,771,374,441,247,426,195,916,
577,146,633,275,131,809,555,886,983,078,357,428,071,946,930,120,864,554,240,
876,086,156,097,766,358,476,834,212,762,221,205,815,927,054,147,648,884,825,
136,832,133,081,533,359,585,531,502,850,148,735,297,696,939,371,537,447,071,
134,939,411,015,915,834,351,410,694,308,961,198,425,035,656,202,844,898,319,
373,041,648,245,693,132,200,321,268,896,104,867,918,271,115,018,930,248,308,
518,238,428,720,885,953,637,501,653,673,333,520,487,678,256,740,699,359,004,
366,543,942,803,888,451,900,982,669,392,324,315,194,819,151,491,641,605,249,
784,518,839,170,705,045,522,115,654,514,434,984,540,382,249,955,068,507,676,
897,792,514,070,650,880,880,677,645,269,354,868,976,141,161,768,330,884,315,
870,254,132,842,736,410,207,057,081,979,541,982,291,155,486,455,743,079,850,
191,550,195,985,370,969,191,138,092,518,114,187,122,375,388,072,686,918,991,
785,815,851,645,916,977,499,750,131,689,700,170,553,570,099,982,207,543,503,
115,983,868,290,576,976,818,391,737,552,211,782,988,077,208,794,548,082,354,
409,861,415,705,354,318,186,140,028,846,930,674,900,112,180,741,492,309,975,
226,134,915,767,463,537,793,327,292,031,738,827,733,017,255,527,143,140,890,
854,064,243,323,300,650,810,832,700,338,147,143,210,626,318,096,821,495,646,
427,459,772,556,479,016,371,917,782,174,962,931,230,877,053,086,004,799,332,
513,258,325,012,430,219,696,010,581,530,371,618,575,776,435,995,167,844,159,
682,177,423,730,551,256,587,634,672,540,062,051,174,498,929,953,827,103,086,
890,369,646,044,000,383,765,345,369,403,351,176,381,344,598,089,323,742,607,
010,967,856,883,656,111,259,792,065,443,328,341,428,691,056,924,509,926,150,
998,688,540,773,089,420,822,264,673,642,458,810,484,721,393,192,326,869,008,
563,141,199,358,243,824,130,904,875,361,528,051,949,494,208,955,588,551,045,
324,093,193,828,185,616,284,746,400,635,949,489,295,216,188,954,150,679,741,
072,547,146,334,034,486,555,334,215,575,899,307,035,072,513,843,305,415,760,
195,311,302,745,584,443,890,642,881,867,274,143,129,674,295,937,082,283,356,
600,045,052,420,497,821,816,086,954,383,616,684,928,638,581,661,037,291,416,
733,829,439,194,785,698,914,542,388,269,385,959,931,168,906,458,046,190,483,
828,490,621,311,467,360,194,443,113,929,806,912,108,855,390,684,008,141,232,
193,849,586,955,425,768,114,078,523,501,517,818,926,119,424,631,997,543,662,
726,603,009,423,532,046,593,548,415,344,975,403,378,058,844,463,048,717,982,
152,784,788,238,801,604,078,901,970,976,066,205,613,647,527,453,882,814,057,
882,763,120,577,402,895,437,518,086,634,675,319,314,854,592,034,197,486,873,
233,144,498,498,689,119,694,822,544,076,647,887,840,679,468,724,330,240,789,
906,188,338,983,775,010,522,094,861,246,351,680,343,530,916,569,783,294,836,
252,651,181,353,408,809,856,142,322,968,179,201,149,816,574,951,451,889,179,
288,364,259,922,200,142,734,464,465,134,348,105,042,101,653,092,099,313,718,
787,478,153,067,816,339,652,530,808,965,998,547,547,509,432,663,883,009,812,
470,955,014,772,105,593,414,527,211,611,618,885,211,050,612,605,206,702,789,
241,672,769,354,947,123,592,605,953,941,006,146,499,741,826,497,004,778,069,
661,851,159,316,148,400,381,057,166,883,742,084,107,725,228,321,742,889,059,
696,564,698,794,079,127,397,720,508,021,805,405,522,640,246,450,345,176,266,
110,741,183,680,189,853,209,190,424,633,022,199,218,905,424,744,139,322,213,
600,793,399,316,693,365,462,600,499,984,239,896,137,731,861,019,147,414,142,
392,377,548,066,628,740,688,387,839,107,875,571,223,751,373,423,882,096,207,
511,197,361,113,405,234,171,755,990,249,248,303,552,972,349,865,645,569,862,
488,499,874,436,564,097,556,585,144,228,223,247,405,452,707,265,515,771,730,
180,407,321,772,419,736,073,361,773,957,909,317,956,374,590,429,755,357,295,
699,982,956,578,967,202,051,045,310,355,876,401,273,414,906,176,576,465,772,
046,926,664,324,426,137,863,419,808,099,590,653,299,730,864,942,926,000,559,
947,347,344,822,612,114,491,109,425,807,599,159,840,309,158,872,445,331,374,
805,249,904,559,792,966,320,343,487,628,754,829,562,713,470,617,346,918,242,
271,295,774,568,438,927,493,636,954,675,867,210,069,615,422,531,011,631,113,
572,315,285,348,366,848,398,792,956,938,621,948,471,938,275,143,817,852,712,
229,643,573,962,216,591,515,753,501,676,377,826,808,883,109,183,102,509,974,
387,964,285,862,951,177,900,116,704,867,168,928,618,170,859,711,462,733,585,
508,626,844,476,874,403,004,540,094,114,494,380,666,827,302,639,388,431,248,
374,283,587,557,639,005,149,056,578,863,813,172,775,894,133,588,125,505,171,
944,529,588,816,509,674,902,801,309,663,407,601,712,862,913,560,919,332,189,
001,255,221,550,316,775,893,689,039,558,139,467,951,863,373,332,823,851,159,
877,395,716,329,511,985,071,406,500,474,017,007,717,291,560,298,311,598,896,
232,892,614,243,503,651,797,090,694,944,907,502,835,945,006,396,720,191,669,
245,129,066,666,701,976,186,206,561,517,462,567,561,413,106,519,280,247,122,
131,415,619,696,901,746,030,820,440,346,935,485,922,627,156,111,537,183,298,
788,431,948,944,625,747,876,985,495,892,347,811,589,202,706,487,026,021,963,
159,395,813,023,691,113,917,039,821,637,122,218,206,539,356,029,235,903,364,
407,269,091,109,773,876,594,940,867,243,748,762,258,180,548,939,583,705,174,
250,765,311,165,964,888,840,901,986,066,546,270,875,833,745,482,032,019,775,
311,660,401,134,937,417,911,244,296,208,551,079,537,834,371,330,676,797,519,
134,886,198,196,559,163,596,351,758,309,904,778,462,475,685,359,942,746,868,
319,799,410,037,336,978,310,411,943,926,015,856,757,917,084,853,259,947,703,
474,282,913,645,085,343,592,409,171,806,750,188,207,159,092,909,746,806,762,
121,287,392,407,087,612,705,251,693,698,832,982,092,257,986,377,924,722,296,
647,309,946,687,752,579,762,789,683,596,967,875,851,218,681,653,072,914,904,
884,490,515,587,935,482,493,451,439,930,346,589,955,950,585,598,170,565,179,
518,773,769,614,548,588,526,042,660,991,435,577,239,088,011,772,620,909,562,
642,667,617,166,332,781,307,878,531,577,545,252,116,629,013,811,067,831,566,
309,610,424,399,620,061,601,034,009,687,521,274,609,803,964,329,077,257,677,
518,205,764,368,355,167,418,581,119,380,127,468,152,190,529,184,441,828,538,
212,856,954,843,263,770,054,391,894,938,595,355,045,922,304,964,741,149,622,
271,442,220,236,529,768,327,958,681,462,032,788,249,852,914,168,607,134,345,
907,466,087,893,141,836,453,681,357,120,817,320,049,246,392,267,996,402,502,
052,921,852,407,845,908,151,642,711,606,891,505,408,066,697,692,217,706,473,
991,078,988,760,903,331,884,130,809,466,147,516,169,220,397,269,546,810,221,
514,693,290,847,290,428,736,815,992,269,345,519,244,653,029,512,847,548,526,
633,990,691,581,713,032,390,389,441,610,788,963,767,197,246,581,999,699,784,
878,913,277,740,391,261,591,019,476,282,752,517,165,385,101,937,505,878,008,
321,454,354,433,689,749,509,071,998,131,706,284,289,734,468,448,295,389,924,
432,490,915,414,242,135,722,539,578,927,026,473,435,119,057,322,531,467,599,
847,707,271,677,495,184,135,795,962,642,508,292,483,829,811,831,124,603,985,
460,097,150,946,344,324,820,034,609,146,427,583,863,390,556,940,783,696,860,
078,574,920,651,687,659,005,379,614,436,693,948,278,655,095,068,760,937,633,
626,821,331,511,695,404,414,661,895,068,149,792,667,169,863,008,704,527,977,
063,647,756,169,332,899,281,351,291,784,351,674,159,028,941,478,115,009,206,
886,308,147,877,945,083,497,910,055,115,483,226,193,850,291,033,930,023,414,
997,590,494,324,750,999,351,557,127,622,561,530,638,903,378,915,128,062,380,
076,836,868,693,158,420,255,725,888,760,677,897,232,177,911,451,835,162,524,
378,986,323,955,578,212,812,965,047,134,956,622,159,399,011,238,763,428,179,
636,308,813,745,149,763,019,788,789,703,046,716,495,380,517,833,917,806,941,
080,069,579,605,527,468,110,317,370,121,482,441,310,125,234,914,452,072,194,
865,325,939,515,856,457,619,260,774,017,329,353,388,427,117,907,531,760,081,
736,746,935,600,133,698,480,165,116,925,607,148,144,329,736,021,000,779,196,
666,800,813,781,510,657,091,628,167,697,030,168,258,609,249,413,471,214,901,
854,591,732,232,366,964,672,106,991,673,175,138,391,684,587,662,548,110,202,
258,971,649,095,638,070,795,241,026,721,184,793,862,399,924,763,753,408,509,
187,125,409,607,013,936,004,861,514,715,667,684,172,843,103,716,537,992,967,
420,964,904,557,639,023,211,777,999,080,444,640,694,849,234,056,319,222,209,
382,253,765,676,456,621,644,309,788,771,622,888,927,135,093,482,286,094,368,
354,486,755,302,490,502,721,156,301,831,248,870,151,562,530,961,447,805,514,
097,548,694,933,242,822,611,757,151,271,977,555,484,005,499,938,579,816,434,
527,444,049,081,648,103,140,419,506,373,652,590,528,166,207,134,946,658,662,
735,745,958,854,530,543,759,215,748,110,157,089,170,352,888,662,620,161,070,
366,322,844,970,302,313,710,386,222,178,842,126,793,427,038,749,929,653,881,
983,030,497,330,884,918,306,034,109,679,285,096,455,499,135,253,260,542,231,
735,343,181,607,370,787,182,676,850,481,011,540,418,411,805,549,147,163,938,
391,308,082,308,513,597,682,025,851,463,331,859,095,349,543,756,593,858,190,
627,802,886,541,164,042,749,242,206,213,650,903,849,599,895,372,634,594,485,
543,410,242,020,621,797,633,633,143,214,698,986,719,359,651,931,519,330,725,
037,042,886,995,706,401,949,069,240,258,151,065,789,098,386,184,013,377,731,
241,610,093,680,463,476,585,744,107,822,805,046,777,700,273,735,692,609,248,
538,583,414,914,782,786,617,879,785,275,133,004,890,954,019,919,600,853,368,
500,777,873,538,623,185,933,401,558,548,142,324,615,347,521,278,566,544,807,
741,402,095,583,751,535,032,642,033,494,818,713,689,072,602,985,337,188,115,
464,068,743,949,094,742,557,984,860,174,422,546,538,110,273,111,146,664,775,
880,873,356,155,736,949,237,451,875,577,598,596,310,289,498,628,584,624,130,
452,330,783,865,500,367,487,304,906,449,476,844,539,981,568,581,141,316,723,
550,159,653,686,166,748,437,893,236,179,782,417,256,462,968,183,602,101,080,
129,933,136,543,705,198,828,145,520,604,297,784,099,697,166,615,017,288,190,
138,574,398,687,601,326,062,984,880,586,981,939,154,450,866,593,883,126,653,
884,502,174,869,484,604,263,721,280,259,799,104,120,691,725,083,258,491,989,
569,017,626,856,960,610,253,277,977,103,589,547,101,764,329,167,994,263,694,
424,935,306,959,989,376,390,198,452,664,888,594,281,051,021,574,597,714,237,
075,484,352,203,785,345,136,561,971,338,027,549,102,450,846,068,583,463,115,
029,430,422,175,714,702,572,013,785,542,401,685,148,235,029,888,892,533,130,
921,459,293,199,854,623,003,202,228,976,700,084,196,650,666,457,387,665,346,
677,055,146,805,169,306,508,425,087,275,474,524,326,434,529,122,115,438,714,
408,808,984,444,139,315,582,008,615,284,983,285,535,683,429,576,447,241,828,
217,943,609,562,118,214,122,783,348,114,698,790,680,885,585,729,310,330,204,
424,324,461,442,904,798,301,976,882,422,720,770,594,425,383,328,360,493,355,
242,465,784,281,252,997,998,625,361,593,212,743,159,460,536,337,294,130,872,
822,748,484,368,910,532,036,418,558,194,074,103,217,494,015,222,566,682,796,
143,876,088,397,079,607,953,648,144,620,080,177,661,807,989,841,118,705,323,
709,668,989,770,616,658,590,143,095,319,378,890,596,262,881,189,624,142,146,
870,784,947,002,551,877,227,223,898,037,494,783,492,038,271,347,922,642,903,
912,584,041,723,732,424,044,663,411,229,041,774,461,933,215,138,848,395,336,
206,665,662,839,448,443,301,019,768,889,859,988,806,975,798,734,055,040,573,
545,667,597,760,469,546,261,790,681,829,710,093,515,291,590,902,758,314,452,
941,182,966,575,405,507,540,001,941,141,609,084,391,353,829,568,525,174,140,
378,613,716,437,086,210,044,717,327,926,716,572,458,190,769,745,399,112,069,
747,365,585,522,154,885,901,848,587,528,095,285,400,734,434,161,656,361,632,
463,944,686,344,787,284,914,825,695,388,641,994,074,474,251,016,107,782,972,
483,463,807,181,938,191,275,479,254,723,074,523,208,236,909,486,651,687,706,
850,303,031,922,879,838,717,271,112,106,162,431,012,456,836,585,561,282,498,
698,289,151,976,035,760,474,295,727,204,750,744,003,597,883,759,304,544,359,
983,849,385,730,223,551,852,018,732,095,066,500,871,230,512,385,152,765,429,
856,813,311,113,848,889,443,242,506,075,158,658,653,397,786,391,383,960,502,
663,839,850,519,716,809,012,620,203,716,486,078,659,332,409,332,829,156,023,
608,141,609,039,988,218,154,086,973,147,719,933,653,926,644,895,682,785,399,
826,348,574,381,173,980,150,106,052,415,953,129,147,729,624,370,373,827,722,
080,214,352,593,497,466,427,607,336,132,398,359,321,267,731,164,643,433,062,
359,713,600,184,257,724,231,692,921,447,530,349,981,002,500,612,361,163,513,
862,171,011,685,448,345,343,667,334,758,372,599,661,460,427,854,301,299,210,
945,329,539,509,379,820,498,901,531,506,325,049,749,755,809,667,834,594,426,
680,584,034,888,443,447,562,535,876,517,358,265,378,361,677,616,587,876,964,
937,600,930,793,844,674,834,039,520,740,389,284,008,591,049,650,045,446,385,
881,127,184,793,260,411,710,730,888,006,637,652,053,918,585,662,299,459,778,
323,938,362,562,800,848,231,988,339,568,580,267,897,534,638,132,084,675,335,
838,191,977,026,328,453,088,827,199,769,413,633,476,826,428,680,083,467,109,
712,120,872,755,193,278,958,885,941,557,657,945,880,409,161,769,014,622,493,
419,048,177,149,685,371,321,072,580,440,604,444,301,770,957,448,680,380,997,
682,766,520,246,336,953,480,188,495,908,748,085,012,006,732,867,871,971,331,
439,101,374,531,732,449,555,027,533,257,520,360,554,046,520,530,373,347,466,
066,449,109,678,906,711,430,378,084,699,185,713,047,824,114,669,277,397,045,
927,358,838,811,690,135,211,671,899,368,072,394,400,097,645,177,025,766,227,
734,095,289,219,338,215,432,397,407,107,952,623,311,528,732,403,052,080,428,
799,115,923,222,117,148,644,541,588,131,514,270,111,270,854,721,857,150,450,
019,342,064,229,440,635,281,352,153,255,913,602,133,110,452,590,520,510,144,
028,570,022,219,183,418,075,814,144,216,436,140,359,174,342,041,597,207,169,
192,571,838,470,289,555,359,720,124,586,568,942,671,901,977,379,839,768,888,
138,239,809,532,570,181,946,136,192,376,376,242,084,282,878,119,153,890,535,
378,209,890,767,605,223,048,166,865,760,797,296,295,368,215,082,383,127,704,
121,518,158,480,378,650,843,160,276,205,737,993,972,113,099,595,305,489,884,
447,274,445,324,087,348,487,001,069,606,428,356,400,502,588,392,471,876,402,
526,053,807,627,123,223,452,107,834,394,371,858,863,891,268,791,577,427,309,
520,235,536,002,978,620,897,208,991,235,158,073,739,294,922,753,617,914,496,
262,203,954,808,686,174,424,496,249,986,305,013,470,992,393,698,785,798,767,
566,161,596,484,702,534,643,620,626,529,191,777,454,596,596,515,516,043,509,
192,844,483,248,298,409,092,206,986,621,788,861,084,151,313,342,308,022,881,
292,375,183,840,750,206,118,694,631,163,920,641,211,304,006,502,391,709,811,
994,750,314,205,998,082,555,140,427,455,786,194,256,222,023,140,307,173,946,
756,949,398,963,549,935,214,562,054,357,691,031,697,181,247,963,707,937,817,
851,075,235,355,752,430,260,501,719,500,527,516,682,370,997,146,815,843,994,
275,047,013,843,843,872,643,162,418,841,735,028,270,983,731,052,784,191,816,
952,797,611,637,883,464,136,695,287,009,815,474,196,254,608,371,902,930,169,
053,483,914,888,872,450,742,932,109,954,141,215,899,862,638,932,792,838,709,
474,145,587,966,775,703,166,848,735,075,407,593,203,231,064,715,378,295,784,
771,091,324,667,140,667,626,760,284,406,612,161,717,346,458,774,294,335,845,
544,925,746,400,568,528,312,425,183,454,923,025,021,235,834,616,519,718,292,
963,466,870,925,882,697,361,114,011,856,141,276,139,839,080,114,086,969,383,
863,274,760,760,060,404,717,379,989,925,573,172,904,867,527,661,458,241,997,
547,611,750,229,557,500,765,176,036,445,630,782,615,981,402,933,257,446,354,
482,706,640,861,760,590,392,646,041,909,525,783,504,159,567,969,356,107,094,
917,103,428,763,646,422,322,252,577,288,537,589,103,199,278,032,347,668,764,
876,413,951,289,695,679,160,514,788,550,852,136,928,203,444,850,656,648,464,
787,359,192,372,428,814,102,865,839,437,692,327,777,850,127,226,879,747,528,
398,794,752,850,851,141,005,459,056,031,971,639,038,026,722,422,482,975,948,
436,653,433,190,291,060,616,013,354,089,321,135,497,822,922,354,500,639,571,
397,913,599,556,073,953,905,134,465,822,230,477,617,266,436,433,856,016,694,
330,202,666,341,897,660,912,961,790,355,180,273,948,908,357,128,450,434,771,
780,373,900,098,289,122,856,622,867,842,147,445,139,704,524,962,962,708,382,
223,523,740,379,888,018,558,420,963,101,480,353,138,661,726,497,579,499,444,
663,365,485,873,215,061,330,534,771,742,713,428,562,698,990,348,296,226,554,
817,683,129,135,836,325,501,675,882,410,428,645,552,725,258,269,774,120,366,
247,303,577,090,295,862,781,719,973,683,209,421,524,223,684,663,504,719,321,
631,936,992,976,646,604,712,485,563,598,034,316,309,602,651,568,579,951,157,
885,988,508,037,748,996,256,938,647,370,756,983,383,699,798,342,089,881,799,
842,891,693,854,858,323,443,980,146,807,064,790,670,023,727,298,764,361,760,
744,494,754,007,182,509,010,636,613,956,564,893,135,878,585,880,799,300,118,
691,667,678,474,387,972,820,710,790,978,710,359,077,858,394,445,281,582,946,
882,377,936,176,872,274,727,274,154,281,838,647,276,754,000,920,579,679,615,
538,231,417,442,298,478,090,999,318,807,178,175,563,477,540,055,486,009,084,
041,743,663,422,717,245,304,650,375,669,068,876,333,887,766,468,288,769,485,
289,123,148,356,429,646,439,360,067,397,437,619,132,601,168,946,154,839,888,
063,279,983,789,622,867,288,808,170,008,339,203,176,430,414,978,704,281,284,
810,269,001,823,464,511,239,153,404,291,137,981,723,678,582,991,345,594,475,
048,212,019,641,818,649,857,326,422,796,780,181,397,413,915,104,589,413,152,
009,560,689,340,236,757,459,982,565,100,146,584,394,514,386,559,082,119,344,
401,504,118,308,634,032,394,074,195,043,344,566,089,579,301,051,661,545,583,
048,485,460,419,929,697,121,777,378,214,029,022,335,192,811,276,991,198,365,
754,327,462,222,878,570,163,951,490,125,896,326,707,561,411,353,480,846,390,
653,301,033,634,484,431,068,713,931,667,033,854,799,254,467,960,294,107,530,
765,547,309,387,145,682,927,186,901,337,722,887,364,829,298,189,563,816,844,
765,285,878,933,573,961,505,008,664,739,740,488,917,832,272,507,161,225,091,
348,419,741,999,557,117,038,028,186,569,400,578,132,778,203,926,930,141,291,
487,984,601,741,872,245,576,714,491,598,242,018,244,502,422,538,161,132,600,
248,951,240,718,930,117,041,409,535,403,415,965,334,454,215,867,795,500,099,
543,829,870,171,334,791,065,348,358,379,390,433,182,124,736,023,198,789,605,
842,365,552,863,848,573,151,131,411,062,137,180,901,945,579,682,817,565,027,
938,573,640,375,449,887,062,553,433,842,384,611,203,164,865,501,158,483,509,
050,129,033,695,143,276,599,613,046,793,421,498,202,284,632,522,922,044,902,
229,070,153,822,106,942,520,512,561,189,699,673,350,699,649,348,397,517,091,
183,150,258,070,094,122,984,587,156,037,101,850,033,617,099,739,612,337,217,
987,733,820,274,546,911,087,406,546,955,396,291,721,345,582,835,179,777,632,
908,244,754,675,822,889,884,947,460,612,150,118,809,587,829,496,204,193,096,
507,675,868,958,311,161,885,458,610,011,843,160,940,518,536,024,988,332,401,
454,044,300,357,565,022,706,874,957,488,097,515,052,908,524,183,269,899,223,
161,428,606,277,539,222,550,640,553,818,907,399,355,907,228,150,736,602,244,
185,138,602,050,139,973,061,893,115,123,431,181,336,706,839,970,881,064,988,
856,604,092,760,961,106,952,304,965,502,922,877,443,108,601,342,578,913,299,
624,609,583,090,021,154,142,461,036,424,761,108,956,040,146,912,782,159,982,
959,637,031,089,601,429,303,857,979,028,026,799,261,630,481,548,799,900,257,
519,270,369,399,862,414,361,496,351,241,638,814,155,458,219,590,079,596,255,
158,910,777,710,948,708,360,452,685,541,577,361,693,626,659,476,473,629,877,
225,181,848,726,703,920,709,166,310,231,983,140,545,992,816,467,115,412,393,
672,579,324,393,848,582,921,460,081,864,369,177,779,879,153,490,867,944,758,
507,856,912,667,342,831,702,501,504,989,995,353,212,038,032,915,016,996,263,
084,358,986,640,563,805,437,324,146,706,983,215,624,260,260,643,920,538,572,
902,194,955,560,857,943,025,496,916,128,089,896,181,883,781,274,009,878,405,
835,921,836,969,193,430,441,226,001,855,813,066,962,849,442,463,477,449,098,
052,988,550,917,824,245,510,240,189,555,455,472,021,967,051,152,424,351,815,
250,176,538,323,093,854,051,224,927,610,322,067,683,507,064,344,028,651,356,
409,298,950,581,808,607,466,703,091,116,017,296,420,042,728,471,945,594,866,
353,066,079,780,182,658,111,999,948,907,790,763,900,231,886,338,764,033,579,
493,411,654,895,610,350,314,464,518,378,104,468,536,703,720,318,009,798,232,
984,894,889,310,369,782,636,082,882,597,117,559,011,666,610,239,235,866,769,
853,186,239,450,316,379,612,160,533,639,326,671,130,530,038,752,229,222,056,
706,651,473,413,211,466,057,315,347,139,509,253,439,919,663,356,076,987,566,
359,612,970,766,710,247,648,173,836,460,928,278,903,650,932,813,602,071,465,
544,725,864,859,831,069,709,858,679,806,764,758,435,217,170,270,371,180,445,
122,376,493,428,347,541,580,279,473,832,558,984,929,241,416,128,882,346,114,
050,145,266,807,167,449,901,075,915,238,580,764,759,751,047,760,748,868,360,
219,945,513,664,651,418,134,300,162,890,703,557,469,525,656,312,009,955,328,
020,982,421,994,292,392,276,107,537,004,144,649,791,536,115,218,310,861,260,
903,614,846,713,160,467,134,592,100,778,385,739,175,155,351,022,065,003,584,
836,103,861,083,433,348,273,940,185,328,114,809,903,435,861,831,076,158,623,
485,864,488,603,429,745,049,651,122,993,017,508,805,579,666,111,730,050,574,
824,821,806,500,667,396,498,718,400,600,956,737,860,486,059,980,511,602,442,
951,766,196,644,717,187,805,064,972,042,405,203,001,520,502,702,428,769,987,
563,762,937,123,773,388,833,138,861,207,859,032,201,998,388,765,276,497,350,
262,575,730,820,912,721,600,310,097,381,681,158,967,376,583,732,599,147,970,
234,911,630,475,574,706,696,883,886,587,432,068,722,243,421,065,927,079,341,
631,347,057,443,010,549,685,815,233,515,170,227,234,216,077,862,057,440,811,
297,300,015,246,521,302,995,694,324,913,860,323,508,930,490,093,910,152,542,
231,286,075,729,962,477,332,475,733,729,499,430,662,099,592,857,082,235,447,
610,558,684,542,315,392,612,331,930,075,265,635,058,746,792,118,922,054,653,
144,374,183,455,604,185,221,812,016,982,987,599,103,855,734,906,967,243,282,
183,630,352,908,871,214,489,193,350,906,374,549,161,649,745,486,272,176,878,
662,146,792,706,541,459,821,349,636,959,120,162,789,997,398,060,086,980,796,
680,655,129,396,536,263,614,407,970,788,764,243,189,567,258,417,051,655,888,
130,552,962,201,352,639,419,219,949,092,782,031,701,746,594,503,933,474,622,
321,895,931,644,332,713,344,557,048,742,347,401,390,175,080,899,088,278,053,
479,934,513,980,198,927,049,655,051,730,807,493,486,652,877,788,726,434,704,
803,315,094,052,656,108,831,879,788,559,502,115,548,339,581,065,251,394,206,
514,203,045,389,161,602,290,482,468,392,277,703,575,741,846,398,689,948,382,
019,699,379,357,142,054,129,563,864,737,756,221,797,740,919,781,844,343,913,
882,738,572,624,025,381,202,183,027,449,591,116,261,347,833,571,303,762,298,
775,361,119,203,612,739,750,288,236,411,261,243,969,631,335,003,557,712,543,
883,635,610,372,871,530,506,585,960,903,963,509,901,398,390,480,109,533,355,
423,967,227,713,573,547,156,004,347,211,701,562,648,625,114,560,264,998,864,
659,541,139,666,089,510,216,576,371,093,553,091,851,782,811,533,818,392,788,
256,303,855,524,027,459,215,124,728,874,689,226,892,257,879,544,477,623,917,
090,513,508,630,279,218,314,000,484,852,630,619,319,576,958,509,810,922,254,
654,352,154,519,689,805,547,892,333,578,709,024,697,721,105,860,807,776,589,
934,871,762,184,317,353,210,123,994,275,335,863,099,742,442,756,238,328,540,
521,432,371,764,086,824,821,831,402,408,402,078,040,762,787,428,187,937,796,
284,465,892,339,242,616,671,374,191,114,559,520,510,185,029,446,347,414,981,
220,924,280,635,415,647,405,122,139,380,080,146,738,297,676,189,255,299,773,
813,828,651,154,531,589,534,607,386,050,889,932,728,296,870,088,191,579,192,
631,850,815,818,023,151,743,561,752,155,102,926,251,699,795,759,440,294,180,
469,228,092,932,542,798,155,708,959,023,059,862,724,429,848,634,151,314,604,
140,189,772,273,127,965,000,649,754,594,237,476,531,568,746,681,894,778,770,
311,823,796,513,999,266,813,974,729,900,316,603,070,857,039,280,775,895,087,
154,794,121,714,608,397,291,196,587,472,028,648,086,474,561,521,544,195,161,
100,069,517,304,819,508,470,445,620,925,469,532,856,551,189,191,440,662,977,
628,750,693,153,720,640,296,746,814,097,280,305,130,874,244,663,999,831,589,
155,723,831,877,838,066,901,995,462,896,463,054,974,363,730,224,362,308,965,
432,436,996,142,008,574,637,571,286,953,077,054,453,455,058,153,379,050,222,
797,178,006,241,186,907,490,403,307,340,870,905,380,419,258,426,176,676,762,
061,679,493,236,265,356,917,856,989,793,742,097,840,110,029,383,260,298,740,
449,136,522,918,743,790,993,190,595,894,421,239,038,871,586,781,099,626,229,
015,788,046,636,992,806,162,821,800,987,550,877,629,088,186,604,542,996,279,
101,651,861,165,965,529,224,222,485,621,765,571,925,184,888,240,244,374,416,
815,193,293,749,003,154,807,456,039,331,499,621,134,941,135,128,567,777,185,
287,530,734,706,820,691,487,003,672,453,486,878,019,870,537,505,566,204,628,
018,560,584,555,936,539,467,480,622,946,542,196,852,915,318,210,258,063,882,
905,286,121,190,964,426,873,926,632,276,086,085,981,296,484,324,000,365,069,
389,129,586,202,745,638,020,103,756,346,609,380,252,537,788,078,553,895,037,
352,591,686,007,111,500,051,811,144,623,763,127,455,377,290,539,372,991,722,
373,713,737,186,596,101,572,279,103,255,307,813,229,517,625,052,697,208,534,
324,297,050,868,166,205,589,355,251,736,858,863,077,649,716,097,180,394,507,
117,359,876,459,580,100,831,098,357,564,252,117,247,370,233,218,513,827,166,
411,223,091,514,325,566,699,742,167,560,846,121,794,296,319,540,554,074,852,
080,792,993,156,073,874,137,349,030,185,048,191,115,293,314,891,738,243,975,
167,387,011,695,971,612,249,979,448,324,915,585,834,912,877,623,037,952,377,
643,746,990,736,769,922,221,366,742,545,934,119,660,182,161,130,292,550,989,
791,321,188,876,011,158,107,970,645,853,490,874,131,054,034,474,955,909,430,
749,990,646,303,031,098,508,395,709,133,359,055,136,944,144,482,945,189,485,
195,189,013,388,347,705,710,766,499,725,181,522,293,078,299,013,434,771,307,
999,132,128,738,343,258,445,364,976,965,811,161,167,492,481,992,862,497,554,
023,968,510,037,296,807,536,490,245,859,672,324,545,256,561,621,861,872,652,
229,264,161,712,294,657,061,558,826,979,282,318,391,292,453,448,773,078,743,
818,619,355,998,929,736,520,785,706,819,879,403,645,692,604,004,203,540,809,
969,360,663,162,552,653,115,140,255,657,340,729,358,972,968,070,497,172,420,
460,280,242,302,015,604,966,728,466,690,739,416,517,814,726,418,514,264,497,
679,614,876,224,366,664,682,920,998,519,793,048,327,152,452,150,624,836,245,
224,180,886,390,956,625,877,412,009,101,956,701,015,164,809,851,943,606,144,
661,632,679,005,879,870,210,512,193,408,640,011,610,362,615,768,539,354,447,
971,183,567,089,872,938,018,668,851,792,535,868,454,344,527,991,730,004,631,
172,907,086,948,203,042,430,784,438,351,096,326,297,671,100,137,118,023,728,
707,021,638,460,222,114,095,920,908,876,422,846,767,295,532,761,491,629,973,
567,325,599,968,356,025,153,537,474,365,248,770,939,380,420,051,975,867,383,
336,249,286,366,784,430,302,007,138,317,478,114,685,225,773,831,114,134,378,
099,357,715,055,295,317,745,004,279,331,867,374,141,970,631,925,479,258,329,
455,766,112,987,600,030,902,640,098,855,301,412,855,666,345,046,515,954,950,
745,660,383,648,519,837,318,288,681,766,252,049,309,174,228,682,464,808,164,
910,148,513,089,621,334,656,260,367,753,464,860,998,537,439,406,310,828,140,
876,164,813,940,576,874,577,699,284,753,272,832,248,718,067,633,536,251,814,
617,223,596,944,619,751,952,386,936,066,803,656,533,800,504,821,102,953,217,
386,960,834,647,374,994,848,853,796,288,032,074,196,841,033,679,934,962,409,
661,350,278,841,898,231,453,505,531,495,405,473,723,931,931,733,248,584,683,
712,941,235,656,215,862,887,951,159,664,030,892,762,771,180,732,668,250,521,
054,277,866,627,470,352,776,547,139,311,893,338,539,951,351,082,427,737,875,
049,799,074,121,133,132,670,894,199,050,400,355,268,230,303,452,653,051,343,
029,441,604,541,417,436,364,063,347,500,588,201,212,973,020,041,559,527,125,
357,447,147,267,806,801,532,490,189,605,297,267,969,798,366,045,344,164,594,
471,053,388,602,398,262,009,659,568,491,549,874,585,372,476,719,294,263,405,
246,725,405,078,882,478,160,230,825,768,111,100,686,776,023,882,622,108,485,
843,542,558,580,857,758,058,997,542,502,793,073,060,330,394,013,610,855,842,
015,531,648,651,669,293,990,025,245,088,939,255,901,929,602,682,929,048,776,
259,743,776,146,239,071,521,790,147,836,618,296,538,264,411,448,760,678,799,
659,788,361,102,655,161,875,232,496,068,893,564,524,967,236,265,780,606,254,
740,552,795,704,594,805,113,840,185,366,823,994,583,043,870,903,142,594,146,
516,904,736,801,197,481,615,712,619,210,978,943,390,665,904,320,299,206,247,
482,694,178,804,006,136,190,988,054,502,988,663,731,544,128,828,154,418,877,
417,513,391,881,394,781,381,808,137,589,133,469,940,494,328,341,104,069,580,
530,463,246,406,587,201,777,587,905,524,986,956,064,833,650,876,108,042,079,
967,651,098,507,569,539,397,364,460,488,862,699,237,791,038,014,594,418,033,
526,344,113,818,771,795,254,238,183,288,759,781,959,104,104,842,213,568,261,
619,104,371,919,446,689,210,550,000,946,993,088,743,982,257,789,111,089,226,
845,732,316,455,413,597,747,174,797,768,664,908,583,565,698,295,317,368,349,
277,904,970,881,362,853,224,569,064,535,648,463,834,956,812,230,300,921,009,
547,623,152,493,288,328,513,799,218,035,777,766,916,754,968,121,230,605,464,
673,311,559,088,191,924,602,491,073,113,719,362,754,183,095,004,959,065,797,
546,726,031,937,279,243,470,091,672,631,640,198,668,296,516,218,515,536,276,
122,064,472,092,025,636,603,394,194,208,488,232,258,494,370,588,958,439,650,
663,225,052,460,362,487,147,074,727,777,220,655,404,876,437,055,234,754,596,
620,311,324,963,556,224,380,022,664,551,871,195,184,829,527,545,746,904,094,
228,535,169,353,104,171,584,062,746,330,858,597,968,785,276,579,092,959,069,
590,313,376,250,327,258,547,589,259,073,711,947,464,995,031,906,530,874,947,
049,782,829,758,892,043,607,934,811,229,516,166,766,861,176,960,449,518,294,
402,280,837,851,115,521,045,877,375,120,695,493,203,674,874,547,205,183,817,
160,332,628,533,989,825,653,792,104,334,489,450,298,551,220,297,074,135,763,
341,859,505,641,628,312,195,030,464,451,534,099,863,066,314,360,081,953,072,
206,811,432,895,636,760,264,074,114,855,758,808,990,511,181,058,574,255,844,
203,125,184,525,703,150,547,322,087,201,945,841,320,860,105,009,326,073,482,
230,819,039,537,671,391,794,785,830,489,596,878,900,673,283,785,512,212,353,
008,246,290,953,843,976,913,715,509,084,963,483,764,315,719,987,162,888,385,
798,995,966,913,356,489,955,528,246,951,170,946,576,274,199,728,341,835,431,
320,053,203,609,089,710,838,060,641,147,817,573,131,960,847,346,603,010,504,
317,017,771,035,892,056,361,784,263,559,839,996,910,015,701,983,168,421,070,
152,890,151,673,037,678,308,436,569,737,604,224,198,923,261,192,801,078,832,
740,325,189,361,404,277,620,021,855,042,056,839,012,119,201,375,163,747,631,
994,009,284,334,653,125,814,737,561,954,942,670,030,475,658,439,631,758,018,
935,039,237,223,537,349,963,524,298,154,482,641,683,150,803,076,240,023,563,
251,956,725,152,319,659,607,464,495,755,235,912,068,368,344,964,291,428,794,
390,014,701,977,680,980,257,436,642,399,824,708,735,276,231,496,975,029,797,
496,553,866,600,821,417,184,121,075,214,825,496,372,576,457,747,935,874,284,
706,625,853,927,099,087,505,398,155,026,099,982,306,046,224,941,041,258,129,
102,391,992,739,410,106,066,625,865,777,495,779,843,286,562,983,388,353,704,
500,983,545,602,723,038,518,016,209,424,046,768,621,710,866,922,634,753,811,
480,948,358,099,837,555,988,542,839,187,427,926,766,792,817,580,158,366,679,
786,686,640,094,852,152,531,781,457,798,195,383,838,226,767,087,945,179,120,
945,377,140,068,483,532,478,052,620,532,784,512,268,788,615,298,540,692,924,
995,678,963,530,902,401,442,623,820,941,994,574,721,047,641,177,140,067,639,
476,849,521,743,945,793,655,361,890,638,570,350,848,858,345,111,663,567,818,
413,653,969,305,746,596,468,772,753,191,025,315,305,313,210,043,455,618,323,
869,754,024,545,363,405,453,849,540,372,107,889,896,465,053,190,906,812,755,
435,104,964,200,305,623,464,396,245,533,799,340,406,996,720,865,006,316,290,
576,846,020,657,103,259,827,826,773,610,940,058,892,335,574,989,989,435,405,
120,423,720,903,227,529,903,450,030,084,001,651,576,108,285,145,425,326,979,
607,742,076,177,090,663,506,585,768,682,335,310,728,048,356,765,266,912,371,
001,773,344,476,722,841,411,261,965,250,382,628,655,100,389,030,989,202,958,
237,303,690,039,470,118,111,976,974,357,500,938,185,752,896,860,803,973,866,
994,172,586,890,788,996,568,989,378,268,989,665,604,407,805,242,941,928,325,
651,099,518,078,687,870,805,233,155,556,410,993,210,939,578,353,808,210,958,
457,240,061,172,760,103,477,005,825,981,142,645,441,577,777,204,311,141,416,
419,247,241,270,827,070,723,972,874,160,823,804,771,103,167,199,819,620,851,
093,927,156,185,947,162,300,415,682,734,930,663,771,112,562,177,039,753,341,
861,070,817,426,111,543,759,963,075,933,784,804,671,218,803,258,598,324,988,
742,029,245,002,258,130,932,781,404,840,328,352,952,152,661,701,011,660,717,
817,350,662,490,166,145,452,886,050,969,129,434,052,375,137,005,889,727,261,
696,999,159,571,361,627,987,619,088,554,045,057,241,844,615,518,918,905,104,
022,454,825,220,440,106,817,201,452,578,478,184,568,027,439,502,084,545,372,
169,072,775,307,199,566,512,770,130,439,390,791,161,140,857,503,822,649,720,
450,758,762,366,386,404,341,945,236,567,029,329,225,088,539,199,270,871,474,
446,499,845,418,310,127,218,126,818,688,492,349,304,852,979,349,860,139,959,
354,203,335,773,498,520,585,016,913,434,591,015,145,537,313,586,853,903,082,
134,123,674,897,592,692,256,252,176,632,706,983,972,829,887,517,648,477,274,
824,759,225,866,654,021,114,443,139,892,659,990,681,876,463,535,806,227,262,
987,296,947,672,421,270,574,221,063,635,104,716,103,518,071,784,555,856,668,
804,781,602,562,760,762,164,910,843,630,473,268,881,597,952,438,807,823,656,
797,333,559,650,963,930,760,540,441,527,179,844,572,937,491,606,184,499,415,
119,445,784,150,228,996,034,526,951,037,416,103,944,346,290,533,591,987,909,
793,250,593,965,699,241,766,670,748,819,914,587,052,816,468,782,006,135,252,
795,040,346,050,166,404,809,840,346,655,116,236,325,250,648,384,879,627,779,
802,901,461,413,470,018,431,465,683,837,842,955,017,819,748,321,923,294,038,
330,056,306,056,360,403,515,450,221,332,376,521,467,340,826,009,373,417,089,
142,288,485,921,584,045,755,051,613,405,152,959,482,751,952,914,714,696,819,
122,568,482,720,948,771,061,933,176,268,487,222,785,399,788,609,665,777,920,
418,604,322,470,707,489,900,899,479,514,844,779,323,688,093,370,650,681,457,
390,212,080,365,348,814,952,572,312,942,239,370,759,317,972,650,095,298,319,
541,792,280,846,934,482,490,005,265,790,198,162,085,502,665,581,873,013,037,
662,175,591,354,873,470,872,836,453,977,390,370,295,927,584,422,895,416,429,
996,935,631,495,567,953,211,596,045,456,133,296,712,057,728,812,970,239,841,
252,160,012,559,409,355,259,626,114,707,027,957,823,802,395,531,148,348,198,
497,570,842,344,893,102,337,624,607,440,559,167,420,749,353,526,847,322,850,
762,232,753,140,550,286,014,668,807,218,032,443,257,649,385,335,479,275,027,
966,240,962,837,271,318,606,383,263,471,165,186,556,322,454,903,468,607,425,
441,207,202,999,331,150,639,464,954,376,138,433,841,731,858,448,389,001,220,
751,567,020,384,283,054,811,544,079,745,029,823,532,123,080,059,703,331,101,
017,205,862,277,387,225,458,018,858,021,755,220,819,789,840,408,243,200,109,
549,559,813,149,652,083,437,782,644,517,300,073,585,906,902,485,648,708,415,
051,025,122,931,953,808,852,845,061,829,916,565,089,106,533,590,317,191,328,
404,234,782,590,635,944,042,345,841,156,327,429,851,241,227,125,022,910,702,
236,656,660,471,723,238,377,388,138,736,537,926,705,903,564,264,228,686,479,
742,298,860,072,276,407,089,923,904,442,517,780,965,298,523,403,336,933,604,
056,050,048,829,964,372,835,276,161,763,604,598,680,532,141,335,797,842,537,
063,843,090,458,437,059,284,685,941,448,472,042,625,320,724,996,833,781,530,
524,941,030,010,230,575,879,652,221,131,791,391,174,233,913,121,949,204,730,
315,702,357,335,401,668,175,550,793,286,030,084,452,634,607,434,257,627,814,
587,354,223,707,414,814,772,352,044,703,748,353,222,668,212,552,539,831,932,
458,710,218,343,918,403,477,727,526,930,311,141,486,875,815,840,904,747,867,
414,905,010,928,284,681,052,452,242,967,329,388,217,695,464,405,021,250,712,
652,305,820,024,975,240,592,375,435,831,294,335,898,050,214,759,765,972,215,
753,147,038,428,404,227,662,216,118,823,759,228,114,614,526,468,443,054,411,
449,907,556,369,728,870,405,296,326,536,763,531,799,033,631,053,712,275,571,
351,105,555,499,353,975,001,760,185,038,445,432,750,430,382,126,422,752,581,
662,442,636,694,354,715,050,941,397,178,209,788,481,385,260,959,969,241,530,
187,346,972,764,371,290,292,923,464,645,761,510,631,391,038,308,655,209,416,
308,660,952,440,082,283,744,651,467,359,661,633,415,344,855,387,921,031,283,
666,898,560,728,882,495,149,580,283,247,356,777,907,905,456,219,671,743,116,
164,606,014,124,476,342,594,748,422,635,110,254,073,119,795,271,624,552,024,
516,967,440,488,525,898,514,193,093,882,105,703,638,293,722,243,989,421,582,
539,726,092,419,558,670,546,849,491,079,441,613,209,358,306,620,942,325,735,
112,605,554,918,346,248,197,791,503,218,938,804,845,049,037,354,376,552,524,
253,018,346,540,764,506,192,143,404,603,987,041,822,797,676,335,561,953,259,
015,709,032,519,456,208,972,830,497,741,687,734,375,373,938,356,537,453,697,
117,066,237,719,737,980,102,436,196,385,303,347,849,019,059,576,639,888,358,
639,309,990,554,973,745,578,040,043,773,581,527,668,138,246,857,170,026,166,
500,183,781,951,941,592,912,858,324,954,005,470,469,843,149,531,870,208,259,
094,876,232,336,974,802,016,456,593,048,582,991,968,499,866,040,775,381,487,
715,118,124,655,317,335,427,317,688,406,115,991,880,614,085,213,581,226,602,
734,799,681,059,176,924,515,705,945,976,245,879,734,389,399,519,652,936,605,
813,146,334,439,565,372,671,759,345,731,343,228,708,900,633,612,182,927,215,
407,604,791,988,242,145,111,896,645,694,477,264,664,553,465,479,829,596,991,
757,949,719,547,877,862,771,898,691,325,496,140,738,737,785,897,942,751,423,
126,530,419,278,129,868,486,636,403,842,800,412,222,365,112,252,566,950,699,
859,598,380,513,748,167,207,106,273,720,310,527,444,791,045,899,196,110,537,
667,148,401,278,842,152,493,311,531,979,364,094,708,811,155,995,769,627,254,
952,087,089,366,487,844,973,143,100,677,931,218,428,590,863,071,051,377,537,
451,260,286,656,519,876,731,604,017,068,650,931,429,316,533,536,600,129,437,
479,221,099,453,986,685,107,650,997,771,739,635,556,025,930,899,791,616,181,
336,685,457,021,363,446,882,876,072,406,050,085,692,885,398,042,237,015,011,
812,835,222,213,114,868,581,547,709,743,356,500,352,592,456,751,191,402,484,
133,957,669,615,953,333,051,547,484,435,355,883,480,195,831,992,636,940,497,
586,890,279,335,074,308,060,063,501,139,425,102,382,316,141,426,254,123,901,
048,363,907,735,269,433,938,891,067,183,881,684,822,408,314,069,634,672,027,
906,494,776,320,964,483,377,252,142,317,559,520,424,050,556,906,843,659,866,
363,687,303,428,512,510,742,473,850,843,789,498,209,476,913,452,948,539,457,
104,749,004,425,497,394,924,003,121,246,041,328,187,097,356,510,720,487,044,
136,366,751,933,055,691,380,928,529,126,821,854,289,362,596,230,166,555,846,
375,082,912,966,944,535,362,983,115,265,245,949,469,066,334,478,739,734,030,
222,772,628,816,129,897,438,484,747,728,991,206,656,418,639,178,067,345,252,
311,325,370,829,521,903,361,898,836,426,396,635,102,256,450,531,915,551,128,
319,804,744,786,567,136,198,269,708,121,497,175,080,663,547,173,381,993,639,
902,732,501,187,274,404,631,838,862,228,478,931,588,613,471,456,824,645,955,
837,754,722,340,759,987,454,742,087,736,996,849,750,075,151,153,365,826,926,
671,469,714,198,843,108,805,594,267,736,027,875,801,307,555,030,600,194,059,
116,064,151,043,639,352,193,799,246,556,760,256,083,134,260,042,663,041,304,
478,305,523,338,323,768,319,388,098,703,507,498,023,828,322,242,384,556,536,
480,862,058,717,057,320,657,150,743,262,354,872,405,656,723,098,074,517,703,
216,447,523,877,246,951,787,424,837,871,430,060,265,525,075,320,485,711,612,
174,109,667,793,602,562,816,334,940,306,293,394,192,654,079,643,320,258,646,
775,557,937,119,436,060,707,206,941,694,217,108,581,335,856,793,492,957,180,
727,901,013,234,504,258,167,673,050,915,495,405,537,368,329,784,314,634,072,
448,756,590,159,378,954,981,444,838,808,703,229,348,872,735,935,419,345,245,
046,652,907,616,110,737,361,855,735,102,202,004,886,132,795,097,771,486,491,
550,918,480,542,709,200,807,266,347,771,621,896,983,401,188,441,903,883,117,
972,764,590,815,307,679,530,831,694,538,531,031,274,511,711,914,790,344,120,
914,561,516,113,092,528,678,801,386,852,802,488,998,410,186,578,731,289,871,
699,587,898,828,372,445,410,788,884,382,018,541,304,722,429,136,902,521,104,
964,192,108,256,045,753,539,213,727,231,944,910,861,875,262,390,765,936,106,
642,558,157,146,906,549,114,401,742,307,140,142,372,652,262,465,675,002,517,
321,279,647,190,453,604,553,435,362,558,470,847,300,903,116,648,762,946,747,
038,105,501,654,430,053,769,056,228,293,003,700,784,205,877,564,621,700,235,
574,478,145,079,633,819,539,796,486,755,181,674,289,417,648,090,857,095,960,
741,632,059,719,039,640,635,233,708,101,578,099,554,126,066,284,290,850,081,
022,376,311,083,383,111,743,714,226,771,198,577,910,469,810,747,259,516,317,
232,403,322,416,502,469,085,110,416,243,621,169,564,180,254,257,407,117,431,
073,267,782,389,133,117,376,765,907,205,146,808,873,121,515,776,481,381,254,
713,634,851,542,668,576,933,100,769,412,819,240,677,501,844,085,321,903,283,
086,220,373,147,654,109,516,617,382,260,869,558,189,731,801,685,206,611,586,
669,864,027,291,101,409,804,515,675,783,237,202,182,441,513,396,574,703,459,
720,453,122,985,183,380,965,668,088,289,184,206,896,543,293,320,749,520,506,
541,260,597,927,685,205,406,570,472,814,719,497,156,911,639,295,508,016,318,
410,208,139,163,864,901,300,144,161,148,573,403,300,568,556,400,155,205,690,
460,095,937,332,573,170,030,401,955,821,350,134,049,725,453,575,052,261,866,
654,834,189,771,827,900,773,541,497,064,811,382,058,621,657,461,527,339,912,
042,512,868,980,292,158,747,413,996,536,284,252,198,334,912,004,059,525,678,
520,828,251,731,552,928,518,374,445,961,363,672,402,161,354,045,771,006,328,
547,296,932,564,858,585,027,157,466,945,923,628,546,812,225,910,655,750,528,
654,519,483,249,006,948,506,313,738,182,693,341,309,999,892,731,007,654,720,
409,172,843,430,075,367,378,596,109,221,398,461,876,268,473,456,970,597,085,
852,435,725,158,144,466,086,088,749,536,844,090,023,085,391,700,522,599,383,
459,582,408,126,337,083,469,329,545,504,495,202,259,875,723,199,608,974,313,
138,459,874,249,978,212,417,250,256,416,637,612,369,218,515,813,965,554,192,
804,686,112,693,063,250,670,514,781,815,379,736,790,933,709,741,825,220,528,
300,162,195,872,868,325,216,007,998,893,711,993,589,138,948,969,018,833,926,
286,334,017,740,713,284,669,425,811,844,884,772,862,279,227,965,791,637,943,
125,228,559,290,347,466,475,214,361,902,061,563,433,647,611,414,384,931,298,
270,486,577,509,750,681,543,968,526,884,054,902,213,782,763,216,476,443,805,
420,866,591,558,155,809,049,293,201,869,206,992,880,805,532,553,629,307,028,
867,010,921,731,314,173,526,762,788,566,342,720,825,073,712,915,582,142,181,
561,771,681,752,707,725,984,433,094,883,723,240,407,791,083,668,576,791,609,
109,845,309,945,817,291,827,865,069,035,117,087,312,076,225,484,541,247,962,
612,635,565,352,447,690,482,523,141,434,537,226,433,946,288,695,877,052,333,
136,166,849,959,748,507,339,069,561,373,421,849,091,815,311,050,023,090,526,
483,874,609,700,107,741,526,388,277,177,317,617,380,181,751,759,205,763,140,
018,914,755,071,469,006,772,206,866,572,749,493,688,278,421,831,826,938,353,
096,752,757,751,850,768,919,879,766,412,672,639,092,768,113,533,926,562,597,
881,546,836,708,349,996,749,808,725,500,016,112,013,929,125,324,642,517,396,
407,255,706,225,716,845,617,317,240,606,285,699,647,056,365,902,485,419,918,
520,846,182,202,708,925,162,018,346,279,348,023,030,171,430,723,819,914,105,
699,814,452,649,705,439,921,418,859,325,321,957,244,475,095,854,235,749,689,
393,049,663,800,665,377,241,163,511,688,251,991,494,989,431,257,038,314,386,
661,252,019,410,256,270,584,624,409,826,794,773,230,328,576,941,186,252,815,
466,302,992,516,212,422,538,458,530,499,229,061,052,826,230,563,673,245,204,
935,707,264,345,747,241,328,621,115,651,332,298,160,690,386,684,733,910,409,
979,962,949,258,500,014,207,728,141,622,471,636,619,377,502,209,042,442,220,
570,423,906,539,087,929,417,015,282,840,571,249,841,120,582,734,455,415,739,
330,710,699,489,899,100,824,873,157,674,646,859,064,731,668,930,346,224,661,
091,354,102,468,405,953,920,243,529,793,202,718,607,130,472,624,264,351,797,
131,529,545,588,436,893,448,802,584,375,034,081,547,155,177,415,261,725,476,
179,626,328,204,651,996,575,808,401,613,362,506,631,791,324,760,762,587,952,
930,776,509,312,409,992,054,821,804,442,976,727,366,719,484,625,210,693,055,
554,423,014,244,288,947,647,534,546,296,414,877,021,782,179,625,186,535,434,
652,077,370,622,848,217,675,658,861,761,145,508,028,128,338,371,721,625,944,
299,012,569,149,693,502,915,739,860,548,794,919,709,687,807,873,980,703,781,
110,283,445,104,629,202,491,201,257,907,777,331,288,720,742,492,233,075,478,
169,102,852,637,418,356,371,620,436,849,022,459,658,118,726,123,120,707,644,
322,290,764,313,919,833,981,705,860,489,056,040,936,183,018,287,492,940,439,
476,719,413,511,283,180,032,391,825,793,108,226,243,472,793,595,659,864,086,
960,591,298,858,244,932,053,128,260,444,170,796,334,659,267,307,672,443,457,
495,613,845,270,431,462,884,301,472,665,311,816,772,390,813,132,113,571,986,
823,113,262,289,107,354,495,652,364,552,840,381,534,958,049,204,797,999,629,
907,002,516,423,371,290,257,762,858,658,728,864,764,120,290,088,151,850,212,
000,419,759,174,002,758,998,130,978,901,564,769,420,005,742,669,292,803,594,
034,797,614,373,604,660,297,536,941,646,100,459,312,816,086,159,724,837,417,
809,100,850,082,292,852,880,273,770,215,871,207,578,744,850,223,242,528,937,
001,005,509,989,521,616,293,009,848,365,570,357,111,999,359,734,297,952,327,
591,484,158,446,814,785,622,211,990,432,976,300,226,318,144,162,735,946,952,
941,547,171,825,030,944,407,883,486,507,418,695,082,787,728,534,131,810,744,
439,469,054,323,923,884,716,659,125,582,179,595,211,582,993,072,564,713,180,
323,368,655,864,061,665,469,195,969,903,068,985,918,549,355,683,967,548,218,
962,070,655,327,757,667,494,706,836,265,291,087,461,529,025,805,348,980,515,
475,904,131,078,248,560,007,040,403,306,439,569,523,280,572,588,605,343,698,
165,121,268,764,027,946,182,944,978,748,925,969,427,910,133,832,041,006,488,
069,204,598,909,127,899,246,220,977,977,696,838,113,412,343,335,288,616,754,
378,238,203,525,326,179,041,652,151,721,534,082,289,707,077,056,574,408,264,
281,981,589,244,335,836,482,795,124,070,190,639,256,863,495,834,072,626,001,
299,777,121,696,671,220,835,642,961,745,424,767,407,125,221,301,872,622,654,
255,042,666,587,402,560,029,740,447,850,145,323,874,592,708,705,170,063,948,
639,264,190,499,491,592,087,459,992,717,994,380,882,826,644,547,218,473,357,
616,540,190,497,689,609,085,370,670,777,542,135,737,978,501,497,275,935,208,
582,324,315,974,831,561,546,953,037,032,554,912,370,046,791,223,899,758,537,
600,935,959,164,694,837,093,998,710,292,730,569,051,288,144,837,518,033,221,
729,203,306,854,857,638,726,631,883,920,617,911,077,656,693,005,849,907,686,
692,917,107,727,587,531,846,944,561,297,080,923,889,118,774,679,218,026,057,
529,274,221,314,216,707,821,726,236,651,335,262,170,025,000,745,630,914,067,
876,868,509,548,286,606,642,270,144,301,590,649,551,503,350,954,113,613,285,
535,242,171,867,701,572,709,408,198,040,244,385,454,566,137,999,027,849,978,
163,871,892,714,134,585,815,998,384,173,134,085,837,792,190,011,556,661,201,
697,149,096,273,696,717,928,882,546,977,312,931,708,630,969,723,711,945,223,
856,566,403,341,673,561,056,240,555,950,341,700,375,323,488,337,878,886,135,
647,465,562,441,037,153,338,591,726,817,684,370,701,521,057,114,228,195,175,
887,125,872,424,700,735,465,502,737,139,710,500,363,040,887,994,535,353,473,
312,603,649,961,440,819,193,526,645,796,016,068,886,702,254,804,813,560,402,
046,132,658,410,099,563,824,429,745,316,507,432,984,818,720,947,043,054,962,
944,008,749,532,195,658,291,534,504,092,459,806,595,381,621,224,906,086,073,
832,199,656,900,655,729,484,971,988,167,752,085,773,967,466,050,030,312,001,
719,947,384,050,030,366,577,822,914,278,809,774,533,673,172,244,421,113,229,
835,475,849,582,449,050,642,446,149,506,175,131,886,782,062,584,213,318,936,
285,511,319,373,701,174,268,993,944,366,345,149,007,582,201,897,735,394,356,
235,710,400,391,367,525,665,621,176,280,594,968,251,536,209,356,833,755,898,
197,192,985,218,962,361,366,272,672,771,416,475,701,764,894,791,983,775,823,
444,688,893,257,018,473,259,226,788,084,424,681,022,144,257,860,194,428,382,
496,409,230,587,036,312,773,687,779,781,642,642,731,176,062,965,890,416,527,
762,579,932,532,724,592,102,502,972,127,695,254,286,111,940,492,157,714,995,
273,374,681,268,248,685,613,182,681,680,664,846,397,116,247,886,631,710,497,
065,433,646,187,621,352,448,769,005,882,608,699,354,722,475,315,100,608,583,
800,150,184,136,560,688,670,621,358,880,872,000,613,966,744,698,899,061,127,
995,482,449,738,147,985,590,801,810,788,295,252,420,986,447,467,826,514,348,
408,988,613,901,257,977,201,653,523,100,555,891,633,619,527,064,241,429,892,
884,858,979,437,452,060,208,392,083,722,684,883,114,505,314,340,030,699,732,
576,697,438,043,190,488,158,282,002,836,535,248,563,127,896,789,254,134,221,
473,156,219,511,287,059,271,416,236,233,086,543,629,198,402,279,192,143,012,
257,441,904,622,197,723,732,360,595,558,295,473,981,003,048,898,609,745,192,
808,685,036,979,721,023,213,707,801,466,274,515,629,357,397,831,227,557,806,
490,510,207,542,885,123,922,302,405,343,684,591,890,596,344,405,751,467,458,
120,065,694,493,975,814,086,144,247,496,510,313,063,075,110,473,009,102,848,
989,033,105,902,696,986,385,436,436,338,263,547,567,136,801,241,028,434,234,
525,473,479,488,604,289,351,735,754,097,353,522,239,619,084,886,013,917,331,
794,458,764,732,199,829,386,960,075,834,413,098,289,776,404,301,813,668,884,
975,243,880,551,110,375,839,748,349,560,927,679,767,941,610,034,492,579,690,
799,890,920,327,846,580,328,009,106,832,973,045,249,057,914,870,705,842,390,
407,466,484,886,656,153,029,575,473,182,484,339,041,247,133,432,158,449,092,
006,651,287,456,273,288,756,396,883,737,661,430,597,349,121,600,057,957,210,
488,089,828,174,819,210,339,098,745,829,623,373,634,692,925,852,233,086,057,
238,864,753,173,473,528,797,075,411,942,389,295,649,907,200,635,710,638,144,
668,059,653,168,722,153,831,199,914,741,281,032,587,710,146,691,317,538,807,
946,853,873,129,495,175,339,924,771,868,624,260,887,248,629,820,161,768,930,
138,778,548,605,599,664,537,445,745,758,395,431,459,382,977,485,582,133,487,
687,789,878,034,907,616,101,652,518,528,615,589,319,772,209,366,942,858,280,
992,497,921,934,930,784,972,660,892,538,666,323,423,792,000,028,653,721,217,
588,545,704,023,945,893,793,600,649,058,182,210,230,811,227,714,961,329,180,
519,791,918,318,865,624,012,888,523,500,298,592,759,063,319,711,240,791,114,
206,003,965,111,438,192,392,710,238,828,608,958,754,728,591,721,862,631,842,
002,412,477,874,543,644,756,416,508,464,813,575,206,870,754,217,310,751,362,
593,503,535,153,051,560,989,522,982,090,708,031,692,304,141,305,585,188,044,
250,937,181,604,886,034,184,544,106,785,689,094,858,866,431,464,426,904,446,
933,468,196,945,979,406,511,353,006,718,010,348,994,064,754,692,188,806,934,
535,358,693,499,697,855,208,847,922,073,136,567,846,264,535,471,967,468,392,
622,799,002,298,046,263,949,928,760,565,980,116,604,943,464,585,512,097,591,
804,771,448,313,529,841,355,207,572,271,506,325,917,597,327,880,867,792,397,
771,760,218,540,479,867,738,742,363,656,936,411,518,671,297,686,760,754,586,
939,656,428,735,693,567,779,832,208,451,791,016,734,982,286,493,612,983,767,
653,744,216,310,511,478,490,990,980,567,383,968,584,015,337,623,922,463,460,
769,084,477,872,240,066,656,863,195,856,297,881,214,471,092,609,427,680,318,
688,237,858,325,791,792,287,341,942,283,342,102,852,390,249,429,143,265,334,
828,247,967,768,322,356,111,149,314,716,449,574,062,609,752,136,457,890,054,
079,124,818,018,674,312,680,332,624,608,594,452,624,392,992,286,097,201,578,
175,396,136,265,724,093,355,084,109,708,415,473,367,598,702,615,867,752,545,
055,618,765,014,198,297,802,840,718,352,002,379,197,297,889,541,716,721,931,
879,660,998,316,505,601,484,309,982,461,536,328,123,432,581,622,068,744,234,
223,189,324,086,956,614,702,071,492,188,671,709,166,488,027,767,905,294,485,
422,765,049,857,347,784,862,115,501,563,944,148,779,659,290,579,275,782,218,
325,749,808,559,496,971,517,287,892,153,258,097,181,651,573,893,727,118,373,
067,807,543,109,281,030,593,277,604,489,459,525,271,118,469,901,889,350,209,
400,618,512,528,958,638,518,854,697,965,900,076,675,750,219,713,068,120,012,
543,988,570,141,676,020,651,698,630,754,495,073,340,123,895,998,434,830,206,
857,032,235,842,108,273,419,509,440,026,076,040,530,234,994,030,144,651,842,
535,395,657,555,545,482,839,063,035,295,481,018,974,943,222,451,525,548,449,
477,212,452,770,457,184,134,707,242,387,588,405,088,398,409,489,540,739,316,
645,033,733,155,943,331,388,413,674,145,630,462,801,735,109,233,966,822,112,
697,148,319,027,560,707,812,331,158,263,902,226,085,339,421,483,637,409,159,
780,798,127,961,168,466,376,649,506,924,194,322,380,456,764,510,715,135,522,
583,728,144,913,479,246,468,089,677,520,631,268,976,552,750,747,302,488,359,
721,431,684,644,238,887,159,313,249,969,077,259,919,308,585,644,809,938,434,
082,953,875,025,139,132,169,510,679,343,061,493,721,970,380,954,131,442,655,
681,421,214,120,842,522,245,991,323,907,089,116,507,442,465,437,159,568,075,
722,653,048,544,981,345,754,269,886,522,162,128,771,712,400,253,681,732,766,
780,686,711,140,739,969,336,318,956,554,368,877,658,327,564,690,576,538,928,
356,713,794,039,919,766,256,447,788,437,055,340,065,678,467,986,464,650,761,
259,583,349,029,285,235,744,523,096,718,918,101,005,816,286,542,601,873,448,
400,376,897,627,147,062,918,473,502,721,983,052,071,098,495,284,801,139,176,
702,065,466,643,103,307,094,360,821,581,448,759,849,914,877,122,489,254,902,
926,592,620,801,146,689,388,651,006,278,649,922,130,626,233,078,124,132,776,
759,942,164,000,446,032,961,210,479,769,658,061,901,480,298,700,976,446,401,
653,499,949,081,403,066,338,021,091,549,830,511,873,239,499,978,072,955,065,
552,583,277,141,902,860,766,236,891,318,703,858,899,241,321,103,751,072,081,
635,183,071,986,012,513,996,257,651,207,304,127,138,426,447,023,061,570,571,
993,438,484,906,197,715,235,129,317,009,454,985,316,090,952,581,520,725,125,
247,267,736,252,359,506,366,707,444,015,769,766,506,769,568,781,050,237,296,
721,477,535,173,776,873,776,180,029,955,219,075,321,774,818,538,876,878,382,
895,315,096,995,356,640,198,637,519,705,633,014,074,490,006,915,602,451,783,
699,759,385,165,103,350,653,021,138,482,549,477,823,514,443,263,935,217,729,
298,954,597,567,162,199,244,459,014,609,956,223,712,245,592,104,154,437,237,
161,404,014,158,107,103,234,428,802,997,845,317,660,774,345,322,628,991,679,
182,249,266,478,232,031,429,569,467,688,736,201,695,068,912,740,917,054,604,
730,200,166,155,886,332,123,093,174,834,453,006,745,302,734,643,242,507,723,
272,632,392,059,435,613,463,240,119,399,381,734,413,148,291,035,109,093,377,
218,732,926,077,822,562,820,035,881,658,079,613,172,276,823,566,940,194,527,
233,851,231,096,010,350,635,281,503,528,532,524,047,787,366,085,938,538,458,
085,889,504,372,674,948,419,576,666,182,799,811,271,474,674,119,398,944,403,
964,103,353,048,957,476,030,150,015,080,171,551,578,556,664,910,678,800,767,
633,653,396,450,670,867,358,961,501,760,414,910,970,256,750,077,194,123,844,
295,086,648,895,507,814,574,342,076,409,334,156,396,649,650,159,744,241,603,
461,411,882,335,271,072,463,737,761,465,468,978,878,330,522,539,169,468,559,
762,364,908,620,371,135,137,879,650,108,516,810,615,892,353,564,446,818,049,
607,593,145,630,007,935,156,754,505,429,359,327,480,418,126,947,156,162,190,
556,027,404,993,751,892,422,854,021,427,812,153,828,961,268,983,134,906,839,
232,625,339,790,136,446,192,899,623,763,770,808,819,184,759,460,341,174,711,
728,030,016,401,341,305,038,689,370,844,452,221,485,152,361,957,349,637,357,
929,444,496,836,506,510,008,809,125,759,555,296,109,261,020,259,158,087,577,
774,748,639,405,148,245,771,123,920,343,814,537,166,498,973,168,144,210,725,
402,423,351,860,786,771,691,193,737,485,090,964,955,100,263,529,343,528,664,
342,846,601,150,564,210,448,053,137,934,110,849,087,799,735,876,869,197,221,
779,626,376,066,932,667,656,526,152,601,676,341,229,753,051,931,106,249,610,
216,091,355,342,264,942,081,451,048,129,150,277,936,969,254,724,559,528,043,
183,158,604,326,216,787,014,452,615,778,371,925,244,073,484,037,539,094,856,
415,838,278,699,783,499,180,154,212,446,850,028,348,070,940,314,706,525,608,
561,897,754,147,036,159,703,293,576,503,213,275,564,873,417,486,782,180,471,
459,778,869,984,867,845,912,549,814,836,966,272,223,232,046,172,192,874,683,
221,816,619,448,477,247,312,562,649,503,788,892,271,592,468,933,681,893,436,
582,611,165,863,840,115,746,549,340,909,747,656,376,234,217,873,952,907,153,
812,931,377,453,342,774,308,848,064,594,714,836,775,450,815,638,121,346,195,
856,502,491,159,660,615,210,014,861,913,506,562,235,890,777,138,281,702,692,
430,996,780,070,811,519,485,757,213,439,749,380,496,516,030,246,990,930,670,
252,801,177,590,896,994,364,055,458,376,193,201,454,003,099,108,372,100,927,
360,788,770,999,921,060,324,436,239,724,883,442,838,203,675,501,070,235,362,
181,108,235,890,735,807,776,982,788,517,121,531,960,907,346,260,188,188,540,
715,552,383,827,527,571,429,299,024,856,022,897,153,586,161,348,957,049,082,
062,636,764,240,379,178,327,575,258,473,230,678,453,460,306,615,358,213,237,
275,209,616,419,217,241,156,933,623,466,312,163,758,360,945,521,810,023,298,
077,740,334,616,414,961,843,760,067,200,689,106,009,051,029,885,831,034,890,
176,396,336,351,368,818,032,311,247,513,056,717,539,934,019,861,645,123,043,
989,569,106,393,318,108,089,289,463,077,434,483,451,215,839,002,943,371,111,
575,947,147,129,882,373,554,996,729,799,949,334,935,955,991,571,624,555,865,
769,320,202,707,857,933,748,465,113,108,834,367,938,434,672,999,891,857,486,
238,760,162,537,215,775,031,512,433,206,234,755,334,531,143,482,838,923,621,
660,873,169,998,249,070,122,533,604,257,336,112,922,481,349,296,939,203,571,
018,511,334,581,319,828,938,507,218,994,858,197,000,839,608,045,921,996,762,
419,244,712,314,448,535,378,470,357,987,262,331,230,816,499,354,701,266,154,
168,858,425,599,556,021,993,437,885,771,844,976,798,597,459,591,219,486,620,
865,691,891,423,268,871,967,910,082,575,762,232,956,402,766,202,633,151,792,
621,173,695,521,799,241,209,559,378,512,259,664,208,441,588,263,880,170,579,
258,669,788,653,299,460,529,410,610,088,243,412,064,423,823,489,333,532,107,
471,920,045,462,064,800,492,479,252,617,861,924,147,579,024,658,706,511,048,
671,911,055,488,588,057,027,203,911,570,290,596,381,625,851,480,518,705,786,
978,608,989,570,896,215,969,832,380,027,552,130,253,060,336,847,923,238,240,
597,290,505,809,929,767,425,005,802,875,981,271,589,292,911,698,410,590,176,
264,411,231,649,597,038,099,614,408,692,063,652,535,917,422,716,744,825,148,
311,650,963,888,236,232,090,995,279,985,363,932,529,188,630,152,990,389,160,
902,603,954,792,032,788,437,882,783,326,650,359,123,015,258,064,826,476,629,
760,553,721,271,434,349,316,402,193,287,386,875,875,509,321,313,447,438,155,
857,129,307,650,253,391,465,425,428,167,068,399,630,048,478,930,294,103,298,
483,407,137,578,611,061,832,329,210,362,222,134,899,652,199,876,064,206,224,
718,553,765,943,517,343,792,150,619,009,871,295,130,553,887,145,781,866,073,
590,418,957,733,962,242,172,727,092,468,528,022,103,849,124,063,939,936,410,
216,638,999,888,029,688,977,218,038,244,063,325,286,669,765,572,794,139,325,
088,380,935,960,546,578,783,735,213,580,362,452,520,186,427,562,382,146,604,
204,168,665,654,271,960,810,599,038,120,311,761,074,643,953,710,450,927,947,
487,039,268,760,926,582,966,339,524,230,376,761,646,009,887,798,354,097,037,
059,913,127,478,612,121,935,848,480,317,011,820,369,303,589,814,987,764,043,
548,616,073,903,223,528,049,474,531,623,154,776,565,261,186,285,444,116,049,
384,415,475,358,392,426,717,374,107,207,804,378,244,080,480,702,626,562,841,
668,684,228,002,672,035,753,777,673,427,924,993,684,420,568,536,905,288,394,
555,138,063,804,883,109,594,928,765,039,539,206,487,492,721,653,243,506,923,
282,093,985,864,296,524,995,806,818,307,565,042,324,384,588,524,573,497,334,
320,295,066,403,841,124,554,085,259,816,224,922,136,963,440,254,536,625,781,
515,830,804,876,245,680,779,117,735,705,333,730,150,982,223,468,187,488,100,
706,652,089,589,796,399,570,211,383,571,853,978,516,407,531,315,290,660,794,
959,174,729,497,487,932,019,905,705,296,717,639,671,129,606,618,082,879,182,
653,399,172,803,571,661,516,924,037,613,558,064,238,504,715,578,896,923,705,
626,832,310,586,038,728,077,589,622,630,753,309,912,634,933,652,916,865,640,
264,076,440,889,965,183,529,147,416,334,992,066,266,376,259,732,221,217,115,
059,715,031,666,771,380,273,582,551,487,494,319,297,718,256,696,816,231,673,
509,659,130,761,596,854,429,962,219,221,979,843,952,125,815,842,164,173,990,
930,674,997,184,521,658,147,762,577,771,673,117,955,179,888,233,954,594,053,
399,919,259,703,631,669,526,672,299,791,974,964,139,275,682,029,128,906,901,
500,750,977,379,562,622,563,210,879,291,753,019,087,533,264,629,550,498,274,
368,043,315,716,191,687,511,633,818,140,643,197,347,415,496,780,656,618,752,
773,965,698,587,842,665,052,757,345,447,233,578,541,449,812,818,316,368,947,
937,393,464,768,091,484,758,565,328,025,240,591,152,494,127,451,367,724,959,
140,757,438,105,292,785,622,027,763,368,887,182,126,601,205,477,441,774,840,
312,460,102,009,885,175,312,113,119,325,615,582,745,235,270,829,977,789,113,
703,608,920,092,359,327,804,054,639,362,841,476,695,799,580,904,958,726,413,
946,516,130,850,766,024,522,258,435,330,381,316,757,990,362,762,649,798,596,
096,556,204,165,503,904,306,969,289,228,449,364,869,615,260,715,539,592,906,
086,912,494,962,122,978,199,970,522,249,910,867,127,894,661,622,546,944,053,
147,378,575,941,046,792,063,744,881,027,053,509,432,756,039,005,654,047,851,
354,390,049,554,203,929,797,138,908,524,272,033,879,976,072,075,311,267,174,
809,711,722,057,758,418,083,333,221,034,016,830,760,625,677,832,061,068,403,
532,598,543,743,542,033,772,977,102,231,010,015,387,475,760,707,094,327,256,
590,166,382,712,041,360,763,643,419,813,232,728,707,513,843,788,855,662,596,
604,783,131,209,423,042,912,719,696,000,464,788,239,222,439,625,144,485,275,
910,366,450,920,852,394,831,548,494,771,647,584,828,408,006,863,149,792,702,
353,034,807,920,520,647,673,824,815,343,660,146,634,822,205,971,150,694,267,
428,783,679,437,564,781,003,933,969,094,233,330,803,631,549,826,618,672,444,
921,803,820,977,629,665,065,890,722,941,723,875,520,390,355,197,886,936,808,
100,029,430,485,939,015,506,047,663,254,443,750,282,343,745,487,393,430,739,
548,152,551,991,336,814,527,113,269,865,857,508,974,111,114,694,132,260,786,
055,746,874,931,783,712,785,535,288,972,607,056,208,355,634,859,230,246,758,
261,019,797,351,818,259,531,810,960,250,498,053,964,764,583,655,507,578,777,
300,907,564,986,993,032,608,681,447,409,235,783,715,298,760,995,635,158,748,
903,005,298,714,066,496,732,181,972,282,131,868,919,674,215,423,282,351,315,
173,088,048,881,785,093,132,404,631,105,427,924,170,278,017,922,152,804,938,
672,197,935,239,834,566,025,515,658,358,035,703,942,945,313,715,213,891,425,
641,804,318,766,240,018,579,233,304,235,258,866,138,165,510,551,667,976,609,
428,930,356,713,887,535,856,228,645,317,530,823,943,329,010,691,493,848,479,
562,521,062,673,474,161,976,298,267,511,444,207,885,748,415,867,219,995,972,
491,409,423,524,506,575,556,509,705,999,499,899,814,769,562,121,223,647,965,
139,666,232,095,574,065,833,523,438,189,401,660,080,047,654,100,823,836,429,
444,935,088,209,031,350,712,427,709,850,002,031,761,612,664,541,649,556,325,
844,818,546,230,610,215,929,989,847,223,869,472,545,156,368,687,281,927,062,
128,592,435,388,492,765,844,822,922,522,061,997,750,290,669,950,583,324,965,
222,191,124,650,750,206,273,919,885,381,548,743,951,522,378,285,670,092,652,
365,465,963,523,924,251,035,984,128,340,249,092,535,361,722,972,288,739,000,
150,884,037,762,034,393,045,680,945,970,801,787,652,480,613,643,146,259,169,
041,845,362,922,384,768,796,814,246,527,692,998,087,228,879,497,883,273,453,
442,671,209,120,952,993,398,812,338,651,051,737,097,083,924,610,527,904,486,
927,085,896,561,576,568,994,571,644,345,213,548,405,193,744,044,299,117,258,
832,285,746,219,332,402,395,452,632,075,464,686,464,034,105,314,825,250,408,
719,294,320,649,134,205,487,105,249,589,256,647,296,775,908,153,298,760,791,
909,492,117,195,300,681,197,027,740,048,059,687,464,195,185,306,252,785,309,
850,941,459,134,227,621,958,236,643,894,136,545,470,009,811,160,076,970,311,
973,934,925,375,870,517,118,089,447,552,668,342,120,046,782,743,784,116,692,
992,366,926,621,266,035,876,044,591,580,481,552,955,830,829,176,495,559,803,
649,471,828,439,112,523,276,573,591,395,954,399,592,734,776,612,716,685,856,
197,967,933,521,012,952,813,946,151,975,092,225,680,827,740,645,050,933,258,
926,002,365,303,985,840,777,916,898,233,481,442,366,079,548,791,301,965,005,
843,615,986,824,918,348,357,633,265,594,534,408,773,518,930,905,170,357,268,
758,537,132,807,709,306,539,919,127,224,668,722,293,699,304,685,052,205,011,
130,021,383,042,676,085,403,707,419,740,333,968,699,008,740,101,907,130,613,
111,386,567,329,195,355,052,798,989,374,609,970,420,990,416,429,433,768,129,
107,163,439,888,213,106,516,664,726,085,068,937,006,532,045,377,846,469,948,
373,767,185,687,788,994,287,140,629,163,561,672,188,241,041,598,757,124,153,
180,074,631,745,069,765,926,920,778,032,366,858,065,684,180,465,063,019,295,
922,940,868,019,878,306,596,654,162,956,165,877,110,055,579,029,098,502,839,
773,114,024,922,010,634,522,268,046,197,775,933,000,978,888,972,443,818,738,
107,823,514,506,167,895,787,826,140,490,288,189,682,945,001,617,519,868,514,
658,426,441,344,813,656,697,294,038,459,468,904,533,440,838,327,617,292,266,
391,910,241,921,398,386,876,324,742,444,679,965,467,488,811,128,443,234,862,
139,350,084,931,409,101,920,392,050,010,104,164,080,179,323,987,873,918,650,
289,591,748,862,282,100,501,211,104,914,754,487,365,235,997,961,076,655,847,
245,090,286,197,313,122,505,662,764,949,380,761,352,901,268,342,545,908,949,
860,292,541,000,122,096,504,402,846,845,112,384,684,655,945,295,936,585,190,
264,642,479,446,861,122,361,931,266,274,403,713,605,234,579,393,176,164,570,
478,357,535,964,205,945,691,500,099,729,743,779,294,155,727,454,714,208,169,
913,696,169,439,419,435,159,153,031,565,625,727,641,962,966,997,616,942,430,
359,490,825,531,392,583,738,151,047,384,608,323,616,243,273,069,829,328,260,
347,559,923,016,760,097,606,737,834,786,862,972,668,255,782,413,443,618,065,
391,336,174,535,068,869,434,664,160,674,877,107,718,221,081,225,239,566,369,
258,619,180,220,369,972,450,423,784,281,797,198,416,830,238,817,491,788,992,
895,058,372,500,172,680,933,083,401,230,259,713,954,016,893,129,229,295,070,
829,367,788,926,809,270,157,620,994,213,282,107,190,781,072,516,528,039,820,
860,773,106,975,106,334,998,199,478,366,630,339,036,157,397,462,697,318,569,
338,631,127,602,784,076,181,645,949,857,020,659,496,528,669,429,405,210,560,
738,655,192,893,192,165,962,975,382,150,666,711,728,554,349,766,432,869,521,
052,364,171,651,763,629,533,538,619,697,149,633,648,573,010,711,802,675,682,
934,753,100,561,458,893,445,366,058,121,800,054,970,203,998,370,015,680,611,
351,973,610,272,286,448,447,998,046,396,894,769,588,651,191,351,752,964,015,
010,531,203,078,480,088,290,901,513,452,831,597,256,360,118,360,745,041,501,
722,718,159,747,683,341,365,665,032,132,859,960,625,316,808,567,104,801,586,
491,583,023,769,822,487,389,827,644,061,660,113,821,699,288,239,008,747,416,
418,904,122,389,826,160,875,303,160,636,947,547,035,550,024,412,345,908,149,
066,663,744,629,666,340,155,999,100,999,628,892,428,332,325,075,391,418,348,
749,694,513,247,967,201,474,494,229,071,759,184,706,013,178,614,634,915,635,
105,751,786,206,226,433,508,293,496,355,182,285,342,712,368,051,887,339,370,
917,097,242,747,525,274,233,199,279,301,026,725,433,190,013,815,428,903,055,
431,228,037,702,220,486,177,886,383,369,703,845,102,861,857,362,916,734,937,
259,919,883,226,138,081,974,969,724,914,034,861,380,701,555,259,145,534,155,
516,946,425,287,651,004,619,870,436,551,692,129,126,902,948,108,448,212,518,
036,225,761,774,976,432,628,118,802,662,288,561,442,762,104,325,500,108,199,
679,660,919,044,876,655,648,806,415,813,690,450,845,683,735,939,498,760,220,
896,481,595,736,142,875,074,337,667,634,276,227,928,138,705,361,044,098,438,
869,790,600,840,230,448,902,370,112,330,994,641,411,235,977,903,671,723,945,
393,924,059,234,972,543,407,649,550,789,607,852,715,590,172,208,017,537,185,
870,399,259,987,756,573,169,330,524,054,654,625,674,920,109,831,100,142,709,
579,174,149,233,936,389,893,873,934,364,421,569,078,051,477,168,012,852,226,
660,416,402,335,390,070,101,708,562,739,119,095,210,448,096,557,520,771,231,
858,523,621,583,472,127,395,475,255,252,934,303,674,917,932,976,266,182,205,
985,318,296,547,034,815,361,155,449,682,594,309,649,015,263,076,569,886,768,
126,940,049,460,363,719,757,124,515,073,607,408,161,901,871,685,967,251,476,
024,312,924,311,045,498,003,262,208,690,162,837,353,900,665,632,840,575,160,
758,226,442,423,739,445,262,841,016,867,475,694,230,580,908,347,901,352,548,
100,275,787,485,977,272,267,973,550,522,483,754,227,332,601,422,328,453,713,
893,069,063,696,887,831,360,383,846,700,407,753,784,489,803,772,057,131,364,
380,374,918,310,352,611,038,211,955,775,859,103,459,701,310,349,626,844,010,
764,643,463,847,816,694,690,275,770,543,994,440,458,064,050,034,035,951,095,
487,851,036,892,611,884,840,093,867,583,413,869,755,969,957,568,997,530,835,
838,184,452,987,899,142,750,416,794,323,738,168,123,949,492,960,522,036,560,
097,609,046,084,666,857,821,533,785,154,480,788,526,252,954,870,107,371,833,
141,207,962,504,103,245,569,469,583,174,646,237,268,770,125,031,777,718,162,
943,015,117,317,962,934,220,483,436,853,382,274,671,575,739,242,275,671,678,
783,399,343,203,672,878,374,433,310,755,472,822,689,223,042,297,564,306,365,
127,136,136,090,961,641,012,159,779,213,070,902,315,979,231,003,343,915,466,
784,491,361,777,257,785,159,829,320,049,836,151,967,958,444,015,085,177,505,
147,671,107,651,881,607,596,771,214,356,104,885,511,620,297,319,235,608,328,
886,000,328,084,921,722,725,811,921,598,116,932,743,002,447,937,838,373,855,
811,719,929,409,825,860,558,110,194,914,425,897,597,422,461,921,487,326,160,
105,189,692,736,143,539,112,368,299,211,013,651,938,945,366,276,172,385,038,
592,133,491,508,795,301,938,694,567,787,367,596,725,087,661,095,206,019,451,
886,454,794,481,251,885,299,749,290,861,523,596,759,718,074,021,314,558,298,
246,610,966,328,378,426,118,581,195,129,111,256,374,124,757,110,206,616,739,
148,797,165,272,665,209,535,058,117,112,296,488,381,535,965,418,983,421,640,
055,662,332,710,682,034,393,907,836,238,837,368,676,462,779,140,893,462,549,
769,831,899,860,384,879,493,992,987,309,583,110,247,704,362,587,791,495,734,
913,937,518,746,898,715,075,808,595,996,062,902,819,987,356,045,327,490,157,
221,660,870,639,121,065,637,008,764,795,201,380,169,049,648,043,323,961,980,
344,524,428,514,577,576,263,410,777,616,951,920,572,021,095,303,277,429,403,
447,467,269,080,420,861,497,078,320,787,585,818,551,205,439,918,220,346,353,
041,282,514,647,144,388,399,711,329,777,686,577,444,161,750,574,988,064,008,
285,621,290,881,977,989,943,883,155,591,693,239,633,349,965,195,729,103,384,
902,301,819,188,267,056,600,114,210,784,730,237,039,148,938,754,914,431,182,
772,455,569,995,462,169,438,868,908,096,063,146,608,636,095,504,386,186,978,
738,614,649,398,087,961,489,520,212,111,658,797,385,850,916,724,212,448,996,
126,704,680,808,627,272,844,104,853,734,499,036,497,857,882,662,485,787,325,
247,979,849,303,926,789,297,378,849,285,068,587,567,776,717,533,949,066,863,
943,178,465,279,305,501,653,567,398,559,926,254,858,298,524,107,995,547,783,
801,884,289,586,638,682,822,807,989,896,487,424,052,861,587,790,654,277,851,
285,339,509,235,851,705,823,749,158,369,313,265,763,210,942,242,930,649,371,
418,514,359,563,954,605,509,146,142,148,715,075,395,318,123,074,834,388,588,
076,700,171,064,803,598,478,784,104,335,806,163,049,620,286,380,619,108,761,
687,999,317,241,568,146,688,346,170,833,140,757,289,748,562,676,073,350,005,
841,129,991,519,181,796,992,988,577,843,556,089,169,271,157,031,109,234,270,
142,188,175,629,257,530,550,091,624,910,015,448,630,190,037,781,762,778,643,
379,186,664,484,519,262,260,993,566,862,923,913,244,160,966,389,988,715,663,
198,560,148,377,672,506,202,441,099,548,764,675,397,810,218,307,308,291,363,
939,293,978,856,790,099,909,765,086,508,767,685,620,570,252,484,882,368,196,
018,523,387,283,342,805,696,206,530,252,634,482,834,076,175,055,632,467,994,
570,199,436,055,936,286,502,957,737,393,139,226,400,719,765,992,975,676,595,
851,189,995,746,945,036,611,869,883,735,091,905,196,614,278,194,589,578,987,
827,766,578,215,486,961,156,236,105,709,761,360,044,806,305,159,652,003,565,
972,404,877,080,151,679,311,469,283,563,848,641,785,960,378,849,602,581,058,
801,633,802,092,895,116,280,960,813,749,724,704,999,491,281,831,696,931,081,
011,822,110,246,470,745,556,563,646,095,416,952,508,898,653,113,228,893,786,
399,365,050,045,101,983,983,687,743,098,611,091,519,037,123,439,685,619,915,
593,711,075,087,805,271,588,986,786,468,603,776,371,097,145,802,160,561,555,
291,875,799,615,142,218,114,235,514,216,773,773,186,014,189,782,505,782,290,
445,925,119,597,129,129,379,259,236,952,065,924,405,744,177,907,444,524,045,
970,510,199,960,840,650,715,793,918,308,326,652,100,090,990,293,775,581,934,
726,476,926,889,443,630,902,832,904,856,964,353,198,421,932,212,856,008,064,
032,656,550,377,512,306,794,684,173,509,679,245,001,657,062,387,105,310,519,
209,782,490,201,854,568,119,451,346,925,891,073,470,128,186,392,142,058,626,
449,935,301,810,827,307,705,857,738,369,362,592,083,056,391,996,980,706,318,
140,003,186,543,207,156,562,527,477,775,657,048,131,887,443,041,113,634,593,
267,534,544,664,812,351,377,880,052,097,061,388,217,789,322,680,942,878,795,
336,793,934,559,511,115,663,027,103,590,305,082,460,059,189,168,768,902,363,
123,252,518,163,076,853,595,520,044,029,352,667,504,884,775,857,691,777,940,
940,126,912,254,956,660,625,105,828,365,157,800,356,077,704,161,901,222,946,
950,264,291,361,916,936,527,074,765,573,805,496,490,229,018,782,122,217,525,
591,880,095,346,510,629,619,089,596,651,569,378,404,140,791,846,685,258,839,
648,896,624,960,185,027,931,676,772,516,663,146,393,611,025,984,726,755,258,
275,753,461,285,952,583,625,457,942,982,505,461,094,878,538,379,528,655,585,
501,101,327,047,807,511,046,699,260,421,513,567,270,388,143,793,023,206,709,
857,962,843,752,970,299,612,778,794,461,299,859,145,684,251,630,686,577,674,
663,305,430,155,353,824,516,103,049,126,698,735,051,163,039,841,176,460,297,
805,660,958,067,113,296,395,112,457,109,221,992,834,328,631,031,818,947,306,
971,515,647,526,357,251,763,439,918,574,284,322,787,893,026,583,786,491,785,
700,641,641,384,382,237,178,988,706,397,565,222,467,488,887,626,265,034,055,
667,662,038,415,251,113,916,859,489,522,871,540,528,324,743,645,201,151,098,
456,695,220,426,096,364,498,120,532,592,307,714,772,124,146,172,769,286,712,
103,044,962,833,703,641,398,696,092,032,738,040,990,877,530,209,776,464,270,
847,933,928,777,783,598,610,565,353,261,305,823,951,581,005,679,918,033,703,
240,247,028,584,290,396,181,226,601,737,893,081,988,612,248,562,295,017,250,
550,817,741,161,862,987,953,905,225,025,552,409,770,002,250,452,847,598,359,
751,563,731,372,348,849,102,863,722,983,932,798,026,947,448,235,966,940,508,
906,978,145,982,117,077,082,486,935,479,716,378,828,282,881,931,926,384,187,
627,917,472,957,906,679,346,216,930,287,475,199,951,256,136,216,076,669,933,
956,881,156,974,103,411,798,693,153,180,955,063,370,751,041,445,116,759,155,
096,545,823,398,593,249,962,096,722,879,955,425,512,985,035,496,109,537,086,
176,691,044,144,498,745,887,070,998,837,119,502,152,963,335,559,118,640,101,
775,816,567,770,320,569,820,503,722,986,679,426,238,303,511,594,888,803,257,
273,858,279,937,726,595,864,384,219,012,106,177,746,008,604,089,976,800,570,
236,783,212,245,947,395,725,119,480,788,826,590,373,439,899,150,476,038,509,
928,808,334,860,348,384,496,023,072,842,252,126,320,888,225,775,656,313,627,
999,516,135,122,158,161,481,762,922,775,079,026,046,916,972,010,743,300,232,
973,189,133,337,409,181,004,516,969,034,099,951,433,631,727,858,370,058,518,
264,924,187,323,532,783,284,163,039,423,274,367,114,308,710,070,528,267,089,
271,119,922,904,392,206,671,971,531,193,965,408,415,589,272,264,390,169,683,
323,280,896,569,456,359,382,961,054,616,715,012,739,680,807,875,923,233,685,
330,838,415,722,470,252,163,428,337,739,211,258,763,681,740,887,884,878,066,
519,673,658,327,615,231,655,311,603,643,291,813,433,116,119,099,124,450,518,
124,623,404,444,647,985,269,847,748,106,574,435,432,323,913,854,540,376,789,
192,495,141,617,121,211,967,877,370,087,416,149,722,902,589,178,031,110,716,
292,108,182,417,177,947,212,714,109,907,535,736,096,758,437,324,501,972,561,
139,601,644,981,358,981,428,468,995,944,859,651,310,826,161,574,089,520,315,
956,282,354,298,584,487,065,720,848,178,397,056,704,901,520,953,971,075,661,
828,571,689,514,139,179,374,574,652,527,635,291,692,811,348,170,153,310,951,
005,705,281,348,417,530,507,988,351,091,117,567,155,629,320,112,281,790,295,
209,308,232,220,208,446,067,058,189,526,962,779,655,783,533,896,375,654,486,
305,001,696,915,018,361,639,065,369,326,589,507,318,414,827,355,696,679,171,
332,312,758,037,787,606,245,142,321,693,584,445,193,246,404,284,112,435,487,
737,253,092,255,360,543,716,220,885,302,031,338,052,053,293,281,876,271,012,
119,313,163,460,632,874,443,330,392,936,815,017,897,516,473,707,823,197,027,
528,740,008,529,174,860,367,038,655,247,924,218,676,897,280,510,180,210,505,
444,530,505,985,157,861,006,613,696,335,721,880,003,634,196,023,342,255,494,
983,602,624,889,420,147,584,987,469,404,292,960,437,342,349,739,386,604,128,
001,684,446,355,194,219,142,130,914,218,963,761,322,763,743,847,818,432,939,
257,036,729,358,456,929,496,074,984,927,976,032,339,789,695,448,850,724,048,
108,329,551,788,852,563,023,886,893,163,766,852,237,443,554,399,087,065,757,
992,281,977,719,256,395,009,738,289,139,749,678,982,464,313,069,082,184,575,
285,045,092,733,109,366,249,061,590,753,204,476,975,986,161,600,647,708,018,
032,483,798,981,751,269,445,682,362,694,680,568,074,474,958,347,318,690,584,
694,394,497,606,679,698,651,721,839,001,012,253,740,800,939,428,630,012,263,
885,779,995,944,794,213,972,016,851,701,969,839,560,183,279,381,811,762,528,
163,766,630,919,864,831,374,463,299,423,481,544,716,448,835,340,840,103,764,
970,371,635,663,857,809,643,853,974,287,138,244,548,649,756,376,396,048,404,
046,694,048,920,146,380,180,943,448,148,584,495,371,364,842,470,858,618,719,
764,659,023,439,579,056,834,307,711,143,823,038,319,657,134,669,412,416,844,
491,965,344,712,476,296,596,932,268,278,530,540,563,169,365,590,711,323,325,
332,004,096,913,824,609,916,097,903,578,418,724,081,546,598,222,836,730,631,
641,698,156,117,107,927,317,614,586,805,166,817,585,885,015,774,003,495,655,
964,686,509,700,627,552,192,642,169,362,343,834,110,455,885,301,650,980,288,
445,887,752,837,262,855,888,205,543,899,008,267,922,371,424,167,878,786,765,
685,135,864,686,267,652,404,744,292,675,402,237,811,907,742,522,171,241,829,
417,560,856,528,632,857,877,177,228,197,577,611,026,261,506,373,586,959,590,
604,586,908,029,659,400,282,957,891,804,059,919,533,215,307,953,558,186,545,
226,501,553,843,351,136,962,012,049,721,924,332,579,998,173,260,657,504,129,
965,236,704,233,636,589,814,161,304,890,591,522,807,981,902,315,726,258,957,
973,933,698,541,030,795,133,942,637,808,588,727,806,129,723,059,131,964,780,
241,886,714,410,136,093,333,518,836,429,204,235,993,097,456,250,813,341,177,
208,876,916,377,134,338,780,753,923,675,845,550,901,589,727,249,665,129,779,
682,210,145,357,638,516,263,791,468,469,802,071,154,171,909,196,780,890,738,
165,644,167,284,257,399,221,307,275,852,579,537,527,997,609,543,961,569,244,
800,134,975,088,911,968,672,589,418,430,779,177,202,851,645,333,472,220,264,
034,770,719,119,868,106,998,643,543,036,908,295,754,902,892,633,882,985,353,
489,092,612,258,815,463,216,591,499,666,593,155,784,466,923,389,179,695,852,
493,209,249,546,206,996,688,984,672,958,739,242,626,410,179,165,772,963,216,
986,297,064,975,840,093,870,434,357,991,666,904,962,662,288,012,130,375,216,
294,185,595,063,038,837,614,972,019,317,810,610,355,701,485,662,117,230,966,
303,232,716,676,490,722,254,043,876,494,059,983,906,330,839,678,476,036,749,
033,072,937,572,335,467,693,916,267,808,022,532,172,923,487,745,168,723,907,
770,953,653,864,711,127,019,834,577,197,768,955,436,037,585,556,191,201,360,
734,832,559,891,991,879,100,692,021,910,886,644,897,052,202,086,662,474,853,
786,399,350,802,971,513,221,784,760,335,977,222,659,422,620,500,436,823,721,
293,971,538,710,886,693,277,985,945,204,116,953,767,519,383,299,876,955,000,
899,970,161,669,204,487,280,564,008,339,606,804,296,626,944,778,938,195,158,
073,719,775,505,999,714,459,807,279,123,636,432,856,241,630,557,200,832,005,
246,662,794,643,549,796,869,863,891,727,574,475,356,919,980,358,667,981,772,
680,748,520,427,456,039,367,223,585,333,772,183,224,833,946,277,350,049,824,
220,173,579,950,621,224,960,753,684,155,674,094,751,595,517,457,455,366,501,
282,401,264,066,925,109,217,964,193,952,040,400,491,077,859,161,092,941,641,
087,591,158,001,723,817,052,809,563,824,224,675,529,138,523,592,815,075,474,
053,382,333,917,932,559,852,365,207,151,706,883,761,895,651,493,877,626,995,
767,282,760,640,348,080,278,024,038,100,105,000,403,301,939,486,075,099,599,
635,357,080,065,920,015,970,652,859,687,671,924,839,719,680,538,021,063,574,
188,463,509,104,262,052,599,820,369,452,179,393,718,754,397,680,708,707,294,
233,333,534,986,423,452,029,374,310,684,911,752,132,416,052,280,153,284,636,
839,686,749,220,820,086,386,997,996,044,537,140,375,768,322,080,110,894,443,
802,213,284,778,081,810,074,337,578,730,738,025,990,406,123,781,995,559,724,
930,872,520,042,944,349,423,274,170,064,010,345,227,558,941,028,675,588,867,
183,587,499,139,779,383,818,508,609,422,311,721,036,482,992,398,276,062,725,
197,352,336,349,672,207,046,813,999,850,176,603,992,280,477,343,100,133,554,
117,482,064,459,630,770,972,197,928,133,367,525,894,206,516,109,927,506,350,
527,956,704,881,648,565,936,301,377,316,940,802,999,809,133,390,674,538,671,
776,946,875,999,292,689,442,758,821,534,488,773,858,598,391,397,212,164,429,
514,884,085,803,796,940,047,336,510,147,270,665,806,471,653,140,635,568,339,
847,440,725,432,860,457,907,330,314,175,995,834,531,640,804,488,135,213,597,
952,839,630,551,717,170,767,702,460,980,543,570,123,309,702,792,244,984,224,
352,346,657,638,995,805,474,895,577,631,379,710,450,123,098,558,024,368,784,
297,789,014,597,869,812,674,661,838,703,479,615,609,482,908,574,296,857,329,
463,887,668,199,379,957,462,787,343,475,471,630,220,605,714,186,283,901,651,
058,104,353,609,015,753,866,796,142,744,314,953,559,993,783,038,703,428,274,
495,342,858,909,149,090,033,973,566,582,921,337,355,823,770,712,703,624,969,
732,688,846,887,466,447,764,530,200,485,405,559,674,411,521,208,585,149,340,
201,010,904,103,154,915,218,195,343,450,187,278,376,591,850,624,600,851,884,
839,138,711,502,809,770,036,924,297,147,099,131,249,270,107,294,056,128,018,
493,217,809,628,223,292,218,054,491,847,222,245,643,658,452,764,144,451,436,
865,383,564,315,959,392,594,205,724,399,522,502,280,995,531,843,002,222,919,
350,597,323,966,662,114,081,612,059,615,124,122,710,574,305,957,395,392,076,
014,285,776,172,492,479,072,480,793,439,477,417,867,598,299,828,429,861,870,
521,125,617,510,068,142,805,654,934,799,320,766,392,154,411,418,149,557,547,
280,997,514,687,751,837,547,644,472,157,781,160,378,825,060,783,156,083,093,
627,066,692,619,772,042,905,886,394,927,445,593,042,400,371,085,365,002,028,
005,723,181,948,711,455,848,821,044,187,780,826,333,116,527,881,700,192,854,
091,946,257,598,083,330,824,759,266,309,341,571,907,425,889,418,468,816,418,
432,788,929,884,753,711,413,740,550,218,094,517,739,543,278,270,911,756,604,
561,499,952,140,490,908,340,344,263,448,018,839,449,312,471,309,850,673,569,
535,712,036,660,606,999,747,654,578,640,055,393,594,427,181,978,065,716,519,
800,803,118,483,715,990,258,157,232,448,636,784,177,771,611,642,021,414,220,
673,441,123,030,503,131,962,365,557,320,165,893,133,221,693,997,463,230,083,
449,443,143,734,067,134,647,062,020,175,199,552,077,742,098,065,511,188,145,
210,817,428,828,822,710,972,849,042,337,151,981,136,701,082,150,029,477,440,
072,942,212,685,303,339,129,551,381,065,544,853,556,986,955,381,551,510,171,
069,110,016,577,607,000,642,511,824,436,961,182,251,988,871,500,581,684,856,
845,402,284,985,607,155,565,191,504,356,993,117,276,613,825,062,585,079,309,
345,446,666,671,796,968,684,099,256,392,001,219,269,994,047,506,656,069,051,
389,361,313,757,606,454,222,495,080,614,680,233,014,103,142,390,258,409,091,
328,477,468,479,991,187,240,147,137,968,812,285,645,734,951,944,547,684,294,
800,123,674,007,396,816,633,975,223,943,931,227,244,801,753,320,150,393,692,
764,690,134,614,130,721,136,189,282,805,596,958,715,652,028,663,405,686,420,
265,043,838,808,078,761,977,370,160,512,917,138,974,583,480,690,955,682,721,
790,053,563,556,820,237,310,204,733,172,648,699,197,006,912,791,638,694,183,
720,264,085,481,827,471,536,381,405,741,340,445,508,339,070,427,427,184,319,
157,989,624,953,697,823,305,568,729,283,755,129,047,720,441,987,266,098,874,
244,294,785,303,098,413,766,281,469,568,146,361,882,827,399,856,297,678,684,
393,178,774,128,037,394,334,441,087,081,098,442,314,402,793,223,414,758,791,
359,424,281,266,202,562,547,693,567,078,873,932,510,720,429,818,783,539,947,
902,622,692,114,651,868,772,697,276,867,887,741,009,792,166,789,643,035,356,
466,543,368,324,631,238,441,158,138,220,039,025,150,829,186,477,345,430,254,
821,664,943,084,903,343,777,677,798,836,673,190,709,338,467,172,997,344,146,
512,262,757,332,265,661,353,503,912,966,676,232,996,723,022,391,112,626,970,
598,007,530,520,018,120,160,346,081,266,700,518,590,928,772,274,570,511,192,
871,621,431,517,804,091,227,919,781,167,771,072,314,178,731,615,106,511,898,
890,232,410,530,136,805,133,420,905,705,372,019,282,692,606,192,664,862,476,
408,355,454,329,023,487,681,209,228,283,316,006,341,260,621,987,065,714,004,
941,227,909,106,737,701,798,023,378,314,049,206,696,259,353,700,045,950,716,
674,660,386,564,721,718,292,795,701,477,919,098,819,398,840,487,307,786,442,
790,287,777,013,062,498,342,150,910,792,360,410,805,914,578,301,120,559,424,
734,544,989,428,805,420,694,641,340,500,076,207,321,292,084,545,451,458,656,
832,417,200,001,914,801,642,901,411,424,702,340,577,308,957,231,193,730,149,
147,860,295,534,049,045,225,321,141,396,971,791,825,296,787,825,322,286,815,
455,009,653,402,801,005,561,721,809,646,235,992,642,743,576,990,471,841,523,
275,033,299,653,567,045,219,459,217,671,157,595,754,465,709,762,034,677,289,
855,207,982,804,034,434,600,259,486,078,593,353,813,737,619,043,701,997,138,
595,952,700,341,184,592,279,849,402,388,655,392,646,377,293,657,932,010,019,
122,650,018,407,896,033,042,704,480,677,891,301,445,719,884,065,133,415,077,
802,432,881,070,715,783,916,658,056,937,056,475,281,490,227,900,754,995,084,
540,889,152,458,744,768,832,270,991,224,152,815,945,330,587,171,301,897,126,
760,532,921,588,851,924,760,625,369,051,961,422,208,389,562,299,869,672,458,
376,541,454,245,010,733,162,679,989,062,499,697,325,698,886,461,039,723,134,
177,313,881,291,294,407,931,353,135,045,490,517,505,046,693,795,157,512,041,
080,768,965,933,910,084,731,933,907,424,348,859,470,487,584,557,999,863,349,
365,589,213,116,855,986,298,218,751,394,465,886,596,445,301,925,275,696,035,
148,556,882,546,568,357,001,893,507,846,080,261,337,761,937,997,734,563,626,
193,281,994,985,499,502,148,641,693,192,533,580,668,202,170,684,299,309,990,
049,749,077,272,665,030,714,886,416,674,998,924,701,157,526,411,240,882,361,
441,163,112,399,397,209,049,764,673,007,704,798,872,470,770,261,039,067,141,
948,734,807,819,899,542,941,627,542,264,285,332,745,965,587,774,016,247,151,
885,761,785,158,656,222,400,161,238,682,219,366,962,509,891,370,504,087,174,
352,367,616,462,820,718,543,190,332,966,429,386,502,317,511,521,438,946,843,
019,047,679,218,825,179,191,151,246,030,010,524,683,762,466,577,291,615,238,
405,037,789,183,065,304,054,641,697,824,217,712,714,370,279,887,637,010,936,
394,366,058,368,576,088,327,410,962,250,962,724,687,776,494,278,670,105,369,
706,099,900,381,264,768,329,071,948,487,235,940,344,808,149,058,781,187,089,
833,085,555,925,473,528,933,809,422,056,283,969,847,668,211,580,421,713,493,
231,917,797,909,100,846,786,631,149,686,352,224,130,965,153,047,999,549,342,
259,398,217,948,502,676,308,536,175,465,492,553,825,859,222,125,978,467,236,
726,332,767,986,671,878,754,037,309,733,885,661,322,459,657,756,364,594,975,
789,065,659,464,755,349,126,078,653,844,171,603,249,844,265,700,043,759,912,
483,944,394,589,539,531,957,493,423,357,033,075,253,379,514,762,424,114,979,
054,981,317,708,857,949,725,373,689,543,887,305,090,490,961,368,089,096,164,
247,270,405,213,159,570,316,681,038,338,902,215,053,625,025,367,581,831,210,
019,963,895,361,766,736,658,033,246,793,999,844,528,336,846,204,657,992,725,
193,449,047,688,807,788,936,307,574,636,686,581,257,711,214,474,342,338,046,
276,278,177,729,881,556,447,329,656,465,170,140,488,959,555,148,382,387,552,
746,789,657,837,099,377,406,039,708,936,127,292,946,642,960,179,104,790,632,
326,894,623,729,789,423,656,187,004,485,178,540,657,593,409,220,971,457,527,
814,517,729,764,307,930,704,176,322,988,977,417,953,067,778,541,481,701,123,
680,704,746,179,332,753,111,205,385,391,791,492,750,510,090,212,995,375,333,
623,227,007,536,007,381,332,004,798,770,327,560,402,827,080,624,656,718,835,
999,809,350,045,551,937,172,678,881,586,536,147,535,414,499,619,918,841,601,
829,649,080,882,912,265,491,993,422,622,104,143,188,542,930,687,146,412,678,
482,506,112,980,409,422,070,668,902,799,433,168,631,856,591,208,560,328,504,
275,447,747,063,045,239,255,408,902,413,228,961,850,307,158,050,563,039,767,
106,392,535,352,663,729,723,823,965,722,286,160,178,850,336,871,473,016,138,
690,052,444,097,629,923,289,987,709,919,945,025,511,845,138,441,359,993,135,
382,739,929,616,612,083,409,832,372,301,632,256,221,309,893,095,189,576,874,
782,552,625,663,742,241,507,533,540,441,988,583,110,213,031,981,283,071,203,
850,703,754,614,148,911,312,527,413,357,128,677,633,833,965,915,914,326,305,
525,485,829,755,642,422,868,530,595,949,394,372,231,871,275,864,225,758,267,
906,198,814,112,400,492,346,236,940,977,838,247,152,306,654,135,793,605,777,
153,546,503,137,038,257,837,800,854,043,646,626,738,628,958,142,274,801,794,
105,673,417,265,689,675,477,180,953,725,923,419,469,421,210,348,339,268,435,
633,645,153,883,824,637,581,007,161,061,806,031,985,626,192,751,017,908,900,
369,361,009,519,366,813,479,248,105,024,894,721,271,084,695,004,010,235,317,
301,479,093,730,348,772,405,383,663,513,195,786,204,170,364,212,480,831,992,
657,061,156,791,784,582,455,692,960,664,793,089,239,069,874,030,684,320,150,
973,839,073,318,125,506,997,440,359,573,289,542,507,721,404,330,828,608,970,
174,668,104,138,225,395,002,771,193,848,504,886,049,177,786,144,456,950,504,
533,587,482,150,283,818,934,516,380,767,950,495,536,034,122,204,556,237,210,
182,763,856,537,282,473,107,111,200,275,041,834,896,487,762,151,864,818,969,
476,011,754,141,013,358,919,126,706,855,298,236,631,852,102,680,327,306,653,
620,548,950,270,020,736,902,371,096,178,300,855,937,816,416,926,640,871,289,
876,168,010,347,009,263,602,016,869,095,090,011,763,687,083,148,730,077,218,
397,055,199,363,189,978,887,272,627,669,644,943,375,540,124,971,242,794,095,
051,530,263,644,417,657,069,931,824,916,795,787,588,518,087,829,388,901,312,
239,461,228,121,950,815,804,760,730,513,813,856,959,088,184,030,670,278,830,
921,514,566,003,487,832,218,413,490,461,026,337,029,414,470,762,809,958,554,
530,897,901,952,010,134,322,451,779,793,557,415,832,700,863,798,331,651,324,
703,995,707,225,171,978,413,391,081,616,413,620,961,018,876,336,552,397,141,
027,542,659,058,902,993,085,990,979,552,884,386,066,874,967,171,068,450,672,
400,140,549,462,929,308,092,772,190,143,977,283,431,595,283,315,240,768,904,
075,950,199,831,668,374,629,492,626,842,818,775,164,127,387,428,307,251,213,
956,688,533,059,768,770,302,534,439,508,115,062,891,362,906,560,795,325,520,
824,055,301,243,121,295,689,833,575,879,947,103,397,294,051,074,639,086,371,
449,341,279,755,216,264,108,430,785,486,271,402,767,652,057,012,496,621,049,
331,250,913,372,306,395,966,596,207,248,413,030,053,419,221,012,230,607,583,
694,691,015,335,916,517,411,373,004,362,432,486,423,364,234,516,150,126,839,
633,451,243,822,114,887,704,662,982,686,351,781,854,206,497,773,653,419,320,
854,009,221,982,856,424,266,227,037,599,720,689,867,102,339,309,535,913,237,
927,088,272,103,218,854,560,832,784,162,597,298,279,474,517,559,629,787,894,
163,636,479,099,066,251,393,196,335,625,455,037,178,361,733,521,028,778,167,
455,860,524,527,034,679,607,268,536,394,447,828,902,324,873,646,812,744,595,
001,498,097,477,931,374,219,950,311,611,408,936,231,415,299,375,839,393,322,
779,805,381,605,059,339,661,496,485,412,837,685,536,912,590,768,184,647,932,
458,781,228,323,537,093,527,679,528,974,103,622,527,499,423,466,002,144,143,
215,870,041,600,461,973,393,145,670,459,488,326,277,356,894,773,769,367,346,
128,486,138,133,346,803,779,546,379,194,193,902,690,212,005,249,219,772,595,
655,939,506,296,220,155,760,858,526,100,937,803,526,755,306,697,603,463,373,
314,399,758,204,922,662,630,539,818,823,612,794,970,747,241,879,943,167,733,
862,146,828,766,194,451,963,815,837,741,606,432,787,059,926,723,887,851,596,
001,945,808,422,709,769,450,352,204,128,136,906,389,431,247,201,776,883,225,
349,248,029,842,860,224,180,920,505,156,639,692,647,376,089,666,473,621,156,
554,803,068,883,827,581,369,479,444,399,957,500,354,738,769,660,573,905,029,
733,672,641,117,715,885,168,683,992,183,481,202,398,393,871,338,536,717,452,
538,946,215,867,220,330,922,137,442,580,610,174,361,409,777,527,762,363,379,
062,081,349,249,363,331,032,774,926,255,011,390,600,958,153,600,118,323,747,
937,826,883,624,300,400,353,068,062,386,859,488,085,125,007,913,003,214,843,
149,580,214,717,154,144,840,462,691,304,879,087,628,870,808,523,435,381,907,
944,144,036,286,571,756,684,019,684,345,077,543,214,815,908,796,357,215,332,
242,581,755,679,750,511,421,440,375,795,208,650,806,131,896,021,109,599,849,
838,042,465,690,657,224,115,090,392,923,770,346,935,593,417,969,141,099,987,
918,860,613,297,981,242,710,635,607,602,342,767,601,241,019,679,475,853,449,
672,975,387,592,015,229,162,112,339,464,912,503,613,169,690,447,747,501,553,
029,773,878,026,450,741,920,560,531,037,343,919,199,671,216,782,701,953,071,
590,293,754,954,684,774,196,026,298,212,432,467,773,969,642,015,329,605,646,
915,173,847,546,154,498,274,713,540,618,715,966,798,750,107,724,794,390,672,
220,483,441,794,315,928,884,881,894,639,551,463,705,113,272,923,801,749,449,
998,592,159,759,610,224,474,184,489,536,169,853,990,086,687,076,461,803,904,
323,151,247,066,906,163,479,254,898,186,676,776,485,087,244,783,688,833,649,
094,571,610,963,823,031,655,888,880,122,565,800,041,525,349,594,525,325,737,
827,659,082,747,998,918,667,563,864,573,759,208,919,313,480,664,934,803,164,
297,496,563,851,645,141,052,467,645,625,669,204,317,579,439,741,076,145,032,
222,975,194,495,121,694,749,390,774,694,468,598,434,447,571,850,738,604,667,
319,181,384,517,373,840,157,030,491,689,526,409,369,263,049,461,135,287,791,
555,966,629,623,076,588,054,769,728,225,556,864,280,184,302,369,282,095,577,
554,095,933,828,219,721,890,733,131,675,172,283,893,794,657,116,714,416,283,
636,756,601,158,794,476,165,701,359,622,334,384,029,341,327,219,514,870,995,
084,686,732,178,469,312,546,999,961,194,527,368,015,237,032,987,553,211,110,
773,637,848,354,941,271,974,907,103,829,902,652,347,885,801,652,092,107,882,
573,792,857,716,794,800,039,906,282,335,817,436,907,538,669,086,535,182,313,
687,825,955,213,642,517,290,142,985,097,307,962,923,146,103,015,816,111,473,
282,419,942,895,664,860,131,428,426,192,050,177,725,767,990,343,311,396,637,
438,444,585,568,497,052,725,819,910,657,346,291,893,487,723,137,448,505,002,
850,064,552,973,173,327,654,787,900,154,854,570,042,636,234,935,340,087,608,
255,567,379,902,109,814,186,401,354,527,526,874,492,293,032,116,515,369,717,
047,888,857,432,630,802,740,326,356,027,679,422,212,555,956,083,747,756,591,
069,423,115,719,023,426,183,562,238,987,712,200,843,244,532,667,732,211,228,
459,620,010,620,491,440,970,363,042,726,472,822,049,346,458,607,824,933,100,
437,859,946,423,160,725,510,900,787,117,363,726,938,207,662,647,729,384,637,
311,998,950,001,707,874,606,104,570,683,613,935,157,098,238,886,376,056,175,
121,082,662,232,788,242,450,901,705,523,848,228,792,157,356,053,894,709,366,
335,559,818,573,858,905,649,278,301,867,580,529,180,159,909,448,902,989,087,
847,537,458,812,441,382,614,737,811,576,805,547,148,064,288,721,389,683,200,
781,951,605,837,444,341,715,302,647,204,142,468,700,315,448,543,436,395,036,
543,068,036,849,726,070,085,784,258,713,215,798,954,186,878,928,352,305,364,
859,700,535,340,103,147,544,734,308,085,247,209,471,320,868,186,587,603,022,
575,618,469,271,751,965,450,697,665,731,449,245,131,419,707,221,016,145,474,
072,156,003,963,507,510,985,263,108,550,072,199,371,291,360,635,521,886,376,
497,017,524,773,531,094,422,025,422,824,902,067,471,558,273,116,403,467,056,
998,771,425,422,018,353,728,722,802,255,353,136,941,573,239,789,298,694,366,
893,434,806,189,259,605,203,834,764,488,858,032,544,290,643,679,306,796,875,
754,587,311,956,581,308,664,292,908,903,264,941,248,694,178,136,084,920,476,
480,004,946,502,717,057,368,291,325,249,447,337,606,200,886,211,382,166,366,
935,585,667,552,684,652,189,602,151,406,153,306,445,964,942,879,582,986,404,
781,049,662,236,697,977,815,618,423,122,626,904,479,033,488,077,524,122,810,
749,507,811,369,900,013,213,900,990,285,487,660,611,256,415,257,264,700,722,
703,681,501,822,583,918,924,456,954,033,829,132,645,242,900,920,106,548,354,
897,316,892,475,330,003,466,844,798,345,978,989,949,951,336,389,029,933,688,
552,753,976,165,900,361,869,007,175,936,230,504,408,036,562,919,088,023,887,
232,394,337,498,093,544,141,377,058,307,622,863,802,923,055,506,914,742,013,
346,214,708,283,552,588,053,676,621,724,118,210,613,703,253,938,366,292,449,
236,026,436,812,310,025,545,620,920,848,120,110,953,840,416,988,330,948,365,
002,149,766,588,936,944,220,455,794,486,728,494,978,382,997,727,386,832,499,
493,751,738,484,520,916,451,492,514,596,642,196,010,071,886,088,267,291,446,
197,517,134,215,936,773,048,917,222,965,124,512,511,559,729,472,756,426,667,
052,473,959,331,187,953,032,072,009,556,915,038,577,906,607,168,707,833,383,
899,039,173,216,936,515,398,530,721,483,657,625,451,679,784,556,389,741,079,
573,999,814,610,898,884,298,682,216,298,537,033,281,342,209,635,633,674,806,
858,213,573,526,143,217,398,297,379,594,874,621,516,536,977,897,566,281,925,
592,335,018,362,389,244,102,918,509,138,399,935,062,936,082,198,893,635,205,
254,822,982,068,554,094,534,133,573,674,182,583,063,807,803,126,879,421,546,
898,542,189,320,323,283,771,495,594,421,213,386,013,736,250,146,275,340,213,
760,594,506,091,409,706,240,276,028,662,788,117,742,549,319,284,875,924,720,
634,667,238,532,121,920,244,943,685,131,505,185,019,856,183,358,196,346,355,
559,682,068,897,402,318,961,736,566,080,526,629,344,354,195,526,771,919,496,
094,701,594,592,407,535,354,398,478,074,796,115,585,636,012,792,986,413,587,
232,802,024,243,097,770,029,279,266,614,208,059,391,470,984,267,061,734,174,
370,311,500,664,845,290,043,428,398,457,997,444,819,591,102,601,260,262,814,
670,906,720,083,045,454,623,033,164,467,881,006,377,359,325,847,902,276,283,
615,914,095,173,298,865,846,122,389,840,531,984,161,449,886,579,762,141,962,
401,146,523,523,172,346,220,567,322,627,258,240,174,494,563,139,213,459,190,
699,476,291,011,132,251,087,318,465,649,918,021,128,304,761,156,441,619,733,
071,032,154,906,952,266,916,521,382,857,161,328,914,165,890,781,480,491,734,
946,767,104,123,193,473,700,433,365,344,753,239,139,567,019,361,171,729,659,
023,385,899,114,954,005,691,349,706,352,616,474,448,425,033,441,331,651,499,
151,088,316,673,507,775,451,653,345,597,681,285,473,360,711,991,100,612,257,
553,380,450,750,591,119,567,044,269,039,569,232,772,953,037,515,557,521,041,
180,216,287,872,938,388,017,426,156,797,769,579,829,428,636,690,167,387,177,
946,954,879,408,228,921,026,309,719,479,411,783,991,683,210,584,014,326,151,
743,577,523,994,952,717,104,130,431,113,617,237,864,861,664,496,960,680,098,
356,225,790,562,241,294,306,004,564,574,385,196,616,211,875,838,057,986,935,
644,772,544,283,794,129,285,445,191,609,507,436,396,650,396,319,443,309,740,
224,670,625,650,211,840,668,983,166,883,365,016,173,127,013,224,659,535,093,
849,113,439,733,554,864,917,748,039,942,134,120,943,556,411,998,209,900,835,
017,946,858,618,208,976,983,020,415,883,377,652,690,969,197,286,603,717,975,
022,109,866,125,593,343,792,193,439,641,601,321,433,388,648,989,454,941,447,
172,106,388,134,662,882,644,966,090,864,229,263,010,351,519,448,646,148,193,
450,028,194,841,025,594,876,305,000,187,601,515,938,395,441,471,843,017,190,
318,584,965,066,937,732,693,252,967,194,817,384,181,877,727,475,182,207,885,
417,024,877,434,335,632,344,778,295,421,808,757,324,263,534,724,584,721,583,
724,977,639,118,676,892,870,572,504,004,397,764,280,555,734,842,785,169,549,
126,899,050,191,856,558,251,698,337,916,989,906,353,593,971,911,085,123,716,
950,323,950,388,274,561,517,033,384,745,570,157,002,799,137,282,712,024,323,
477,771,665,478,665,646,127,855,447,238,047,299,513,614,577,455,912,019,665,
151,792,298,813,828,955,591,333,064,950,654,759,471,724,552,064,952,865,327,
411,007,800,076,493,044,915,963,732,381,976,837,126,140,325,856,076,625,073,
181,045,251,742,805,022,234,667,089,623,095,183,576,516,764,902,872,537,744,
497,287,218,613,437,408,910,541,784,154,559,415,831,648,133,839,385,381,468,
802,539,437,970,151,469,553,966,686,697,735,626,380,087,474,472,567,608,217,
997,375,365,216,878,164,043,052,258,593,664,725,670,248,263,045,640,287,537,
080,093,400,759,262,134,936,876,865,720,719,285,821,272,683,160,522,410,244,
421,910,950,984,063,323,974,492,587,558,110,386,426,404,871,161,888,781,393,
192,311,069,116,393,146,781,668,770,103,043,497,617,926,430,380,583,835,095,
411,995,813,377,270,445,487,369,827,317,049,182,445,128,864,647,785,229,496,
189,068,250,583,417,079,426,344,890,766,958,189,212,865,760,565,616,041,013,
985,885,524,207,907,909,617,645,363,767,424,702,822,943,566,143,751,098,527,
207,499,287,446,103,814,707,349,791,418,511,422,355,524,567,689,298,046,124,
704,168,828,786,776,424,741,854,183,437,119,575,587,447,720,918,173,542,710,
683,315,104,833,977,189,913,936,786,308,155,572,805,667,686,716,266,003,548,
846,537,044,265,965,776,155,790,585,578,252,670,632,117,653,307,572,557,039,
202,581,009,450,871,346,742,846,612,012,266,142,530,196,013,709,477,666,956,
822,954,908,941,062,218,616,777,656,396,023,566,227,355,967,625,181,592,066,
242,277,374,189,285,738,798,696,639,329,228,952,087,701,385,877,549,859,462,
802,105,219,471,449,436,895,991,925,095,458,327,785,164,152,167,974,352,571,
485,920,698,286,005,282,741,812,839,108,934,257,711,148,005,306,115,964,045,
715,767,253,855,494,921,383,790,307,373,084,832,554,655,107,906,642,084,799,
134,345,008,264,032,449,243,105,962,164,335,347,927,901,982,220,209,694,997,
279,761,209,130,679,838,074,667,309,841,548,726,115,861,554,293,018,522,117,
824,398,226,125,903,065,503,425,484,266,046,891,303,582,544,462,996,132,916,
523,345,687,055,023,942,958,681,576,116,145,297,160,948,703,018,504,375,896,
958,943,278,355,138,661,300,911,668,883,663,587,012,940,322,385,915,381,172,
601,480,783,374,886,785,097,282,123,318,474,371,226,570,501,969,429,093,676,
039,344,201,916,119,330,400,755,239,180,978,639,910,540,274,510,964,713,432,
861,915,607,010,974,296,879,334,250,476,249,690,233,018,212,757,015,192,605,
209,610,510,162,159,228,952,915,246,820,414,963,580,223,580,895,640,694,158,
827,691,623,583,507,725,525,142,192,157,637,755,360,799,048,884,634,976,516,
677,101,847,577,677,601,871,428,872,172,715,929,333,281,167,341,079,825,076,
973,847,537,949,903,821,983,765,451,519,724,820,826,756,805,770,659,958,287,
363,176,479,576,017,877,096,426,558,223,635,524,832,758,340,109,862,306,993,
978,113,862,348,193,843,046,289,070,809,311,000,380,225,145,241,264,224,125,
323,121,540,589,768,756,773,515,839,838,381,041,743,547,975,985,343,944,113,
919,548,177,956,486,237,065,011,776,123,632,837,497,589,499,021,805,212,267,
144,341,739,091,586,049,003,903,495,642,728,426,258,333,519,534,943,084,071,
392,356,347,448,339,980,546,217,624,035,439,924,810,828,259,182,530,809,024,
847,216,503,656,547,179,711,104,849,077,256,014,553,563,549,367,788,049,558,
011,419,546,383,015,161,543,299,640,635,355,193,685,758,182,876,177,122,382,
543,794,915,532,509,808,968,656,786,077,737,480,687,486,326,973,245,387,451,
167,446,056,788,629,042,452,831,292,885,744,867,066,485,308,643,457,387,589,
439,228,822,754,382,682,042,181,928,190,664,383,530,904,991,614,376,428,332,
687,865,543,573,569,514,885,388,756,460,868,601,585,468,184,619,949,823,858,
477,852,253,350,171,519,442,419,637,602,643,952,207,319,105,287,062,643,813,
399,801,169,289,204,400,070,511,993,170,500,886,774,566,477,125,290,561,360,
284,764,810,187,414,393,620,973,140,764,819,960,357,514,809,228,556,369,993,
560,297,040,670,085,157,015,698,810,845,016,406,674,144,132,640,119,093,889,
717,883,061,596,780,860,523,090,786,247,120,429,644,674,475,236,882,722,048,
330,794,839,551,995,162,056,973,582,781,601,076,248,045,437,910,021,115,644,
980,048,576,001,200,712,543,530,161,098,774,719,674,751,434,263,441,654,537,
220,009,758,361,037,695,204,440,109,473,086,460,155,695,474,819,482,690,792,
146,420,627,539,500,089,710,796,024,259,422,938,976,130,314,004,580,628,286,
279,494,107,544,513,775,616,671,669,566,605,286,593,804,038,864,869,976,363,
835,613,765,798,268,131,624,754,059,015,770,407,651,430,517,502,905,357,308,
368,774,870,445,661,281,948,381,502,858,689,868,754,656,346,452,988,403,984,
913,633,442,969,932,935,145,728,702,542,551,366,348,141,231,429,677,584,308,
635,501,405,158,758,901,530,477,927,353,281,694,260,322,339,833,141,239,390,
555,088,631,743,265,383,080,417,907,056,399,127,203,282,688,509,910,029,449,
005,263,318,937,591,262,585,478,256,921,575,422,254,019,339,446,244,531,914,
692,589,954,246,573,950,662,499,797,596,270,909,421,911,406,961,748,117,599,
938,859,113,034,962,669,141,542,131,053,924,842,689,457,870,773,892,498,954,
905,059,934,820,173,406,923,184,436,610,699,230,827,958,310,555,721,850,083,
522,521,842,532,607,455,609,508,322,908,210,785,341,618,970,963,259,629,166,
944,368,394,868,462,511,458,966,137,669,073,068,580,627,388,549,357,780,063,
180,001,099,423,212,101,058,513,302,266,688,306,131,284,228,971,444,440,777,
074,008,733,979,511,052,412,644,582,913,889,405,149,016,166,025,141,496,687,
108,389,076,971,354,605,159,606,619,915,808,271,315,824,899,002,777,950,203,
654,162,837,919,939,404,086,211,888,960,765,866,506,682,887,705,862,586,081,
133,949,034,861,220,953,702,505,419,327,447,021,833,983,149,318,683,380,237,
096,698,053,721,035,034,225,209,799,428,543,047,575,054,294,410,085,486,666,
472,332,031,424,814,013,044,940,374,696,798,506,601,450,609,500,626,487,482,
659,708,182,997,782,844,524,738,996,703,377,878,886,036,493,431,339,810,276,
550,225,239,064,589,353,730,928,329,101,206,779,356,480,625,018,188,390,536,
717,723,044,703,835,179,359,696,502,594,810,075,502,500,123,509,612,859,471,
923,530,599,749,184,263,513,074,184,393,859,781,154,301,064,360,000,857,380,
403,527,057,962,540,463,234,313,167,345,305,201,146,791,349,611,190,466,547,
891,151,958,554,843,255,749,655,119,944,795,666,280,852,905,536,769,433,872,
330,905,961,061,999,550,942,745,648,116,949,508,860,610,165,965,387,456,715,
043,468,789,308,522,484,198,078,731,894,375,685,221,138,791,764,068,397,562,
680,364,053,268,130,235,963,655,349,150,752,765,778,907,092,217,184,104,298,
921,091,729,658,162,451,681,287,876,375,151,767,590,659,856,718,829,707,925,
491,380,254,814,712,424,994,128,013,324,570,518,369,419,157,525,105,370,198,
912,078,803,755,964,667,857,798,795,846,207,496,573,599,649,030,704,197,507,
070,411,761,327,416,467,851,363,390,110,933,842,447,110,743,136,061,645,840,
542,951,065,550,776,362,466,852,181,902,689,680,853,522,031,195,482,123,109,
202,655,959,248,622,807,927,641,816,438,176,834,875,681,958,434,710,658,473,
937,759,783,423,949,906,075,110,766,820,588,519,458,121,830,015,323,388,576,
175,288,814,799,274,731,479,363,765,006,956,758,808,682,762,583,505,637,585,
623,907,267,461,445,128,657,659,382,009,149,973,025,655,734,573,140,743,271,
503,815,646,992,653,477,673,664,516,187,083,851,976,268,495,850,341,301,425,
325,191,761,001,133,957,858,535,185,754,580,269,839,625,140,804,274,364,227,
220,966,481,331,033,490,964,567,132,954,658,332,908,478,154,663,740,011,986,
881,756,022,509,723,763,541,186,730,954,796,878,987,676,572,625,995,344,068,
525,862,213,616,540,088,090,156,795,802,857,317,908,474,334,611,241,902,018,
225,385,473,419,730,444,603,542,817,536,199,165,935,063,897,337,935,466,164,
959,284,833,213,481,549,411,875,233,888,606,103,777,040,291,749,082,808,244,
973,972,938,473,173,009,386,666,420,499,511,927,965,548,613,261,805,708,188,
215,577,600,924,081,951,014,568,822,212,935,053,548,263,682,791,896,575,275,
100,888,400,483,737,464,914,972,845,066,190,764,495,960,578,021,576,012,510,
604,792,928,418,291,739,665,383,857,318,053,732,214,605,766,244,617,844,366,
353,748,155,714,663,014,065,842,653,904,483,718,163,500,895,053,839,139,450,
630,687,436,060,236,244,761,661,429,209,897,804,515,653,335,248,604,252,948,
235,421,755,004,109,963,280,975,003,822,945,732,895,683,791,319,882,551,390,
439,606,435,369,447,244,438,234,944,520,243,067,163,083,446,935,364,756,404,
414,159,435,359,724,451,926,255,821,125,317,062,406,716,355,308,538,795,466,
040,491,751,221,703,610,402,925,839,114,590,162,343,032,672,194,682,321,772,
920,485,412,772,334,459,907,478,990,113,324,476,279,674,205,280,065,409,167,
128,503,084,431,863,152,146,171,365,201,993,037,854,883,592,359,754,420,608,
470,124,229,658,012,845,673,934,146,129,158,874,158,759,461,531,270,991,391,
808,448,713,966,887,207,943,789,167,456,959,412,138,632,204,960,918,910,779,
825,021,059,895,316,662,154,363,887,344,097,653,585,940,382,551,314,522,554,
831,648,119,583,236,565,835,566,675,036,249,945,824,536,587,386,468,289,044,
075,464,104,614,255,481,617,472,341,272,991,137,180,311,019,322,702,683,181,
822,170,462,221,790,482,649,359,109,361,269,832,491,998,318,732,179,003,865,
504,871,641,842,202,848,211,439,077,519,517,779,286,368,600,407,675,846,842,
744,040,784,878,386,223,066,201,865,397,782,064,883,914,315,490,144,886,769,
565,175,246,397,466,534,434,809,715,613,358,132,430,202,345,908,112,664,313,
368,505,275,382,918,297,424,763,030,356,514,855,488,577,350,606,774,938,040,
328,419,251,835,328,396,951,363,041,058,835,459,423,614,507,714,183,716,600,
706,280,435,378,630,539,407,362,139,957,583,542,632,646,642,894,743,084,543,
295,686,091,386,095,769,995,233,785,116,175,665,890,863,953,606,714,507,120,
288,725,954,849,808,268,871,879,300,231,610,578,289,156,334,610,239,124,236,
272,994,290,479,475,389,755,919,046,289,111,214,059,832,008,732,353,914,021,
563,648,267,508,343,492,466,780,084,978,848,276,491,623,638,199,164,673,339,
553,376,875,633,416,718,024,343,353,989,108,938,824,198,758,286,272,221,597,
561,421,871,124,170,728,799,601,253,729,799,606,077,641,745,141,703,833,329,
691,272,358,152,196,078,543,914,504,202,606,793,894,563,723,525,571,649,347,
144,712,883,068,460,854,858,241,590,872,642,734,470,416,821,614,197,891,853,
084,952,424,133,023,705,686,299,971,946,439,313,423,367,404,082,869,276,223,
590,732,172,571,845,207,647,408,717,986,656,191,260,575,009,990,310,710,838,
441,057,304,314,673,687,730,624,563,234,492,511,028,381,478,797,934,990,097,
953,114,957,122,648,005,543,210,774,084,200,088,078,192,365,099,389,255,225,
170,552,961,868,655,999,084,121,561,838,805,631,917,447,573,428,614,555,697,
277,653,515,245,714,101,167,334,031,843,285,233,162,985,021,038,641,192,354,
143,622,991,406,921,189,571,212,170,921,524,218,769,278,333,438,235,766,395,
246,037,392,811,926,890,398,172,020,708,346,767,215,326,458,109,990,968,213,
132,913,394,839,824,708,377,972,487,850,569,340,191,504,209,539,913,181,775,
966,182,388,628,440,060,848,188,182,928,323,697,939,665,916,713,674,293,289,
014,314,593,154,412,889,264,283,237,439,934,833,738,507,235,623,846,829,841,
566,216,922,844,626,900,746,016,819,469,649,859,276,501,587,550,004,010,081,
359,492,388,723,033,785,355,091,055,509,278,085,572,034,587,461,208,837,654,
838,786,325,086,660,171,090,431,356,147,987,149,844,122,502,257,076,244,896,
588,511,436,047,296,489,241,143,256,432,785,268,321,881,922,568,090,652,076,
323,580,893,898,067,221,553,407,523,024,323,209,049,047,792,483,304,173,431,
619,274,453,391,408,346,806,829,478,108,092,231,261,011,828,341,797,856,228,
182,083,935,932,031,722,069,645,227,871,169,846,940,496,846,256,212,879,456,
342,990,766,985,110,610,965,935,847,073,533,927,426,853,472,942,938,609,599,
556,191,535,078,521,169,324,207,370,340,806,458,947,179,415,789,959,566,396,
134,855,919,126,389,395,626,071,736,694,038,644,589,345,272,820,340,065,832,
732,754,211,325,795,666,155,460,057,844,032,434,067,349,883,478,086,069,613,
976,699,540,172,149,081,375,142,482,352,401,528,152,368,063,632,760,491,877,
585,579,350,549,634,896,840,847,492,479,918,791,468,466,666,097,457,916,092,
863,629,851,081,510,877,313,458,094,794,600,725,112,006,109,456,941,937,598,
225,876,479,233,193,614,277,275,013,573,137,824,950,471,900,058,491,588,273,
743,993,548,730,341,823,904,845,170,716,790,780,432,393,280,757,620,837,594,
029,989,049,842,961,136,655,810,600,505,794,687,287,495,446,899,337,757,231,
203,748,340,277,310,667,361,917,476,622,129,798,089,514,959,668,329,338,171,
574,418,120,964,831,416,829,405,417,651,293,696,841,533,093,072,047,120,723,
765,336,490,011,519,311,248,333,639,114,550,811,792,153,019,634,222,058,963,
819,883,759,405,782,298,994,688,061,977,166,334,928,577,540,616,991,149,887,
735,570,954,602,593,507,805,252,438,488,748,318,996,057,535,240,104,999,156,
079,855,893,436,728,280,647,101,096,178,781,756,643,426,031,096,404,940,175,
139,060,218,493,302,051,552,727,886,088,030,463,409,224,502,017,730,551,974,
221,784,138,194,757,227,632,631,846,548,509,386,314,961,704,851,003,748,981,
647,273,498,447,866,868,478,332,592,971,695,373,597,177,553,992,866,294,303,
526,839,396,396,164,428,781,102,659,397,096,723,185,172,430,484,497,158,471,
937,944,477,874,975,140,411,648,113,284,017,052,364,681,824,019,056,856,550,
438,381,073,432,396,188,712,308,272,186,692,516,399,007,394,516,991,051,609,
321,441,626,365,890,151,692,879,794,856,727,914,866,621,877,533,795,604,037,
923,263,356,485,602,833,284,175,217,851,730,177,889,094,864,976,281,128,023,
529,377,173,138,698,194,117,230,460,464,406,827,272,427,309,716,344,767,604,
954,154,761,447,069,566,081,126,610,775,262,156,286,500,696,716,350,104,049,
416,393,355,882,329,109,553,004,668,347,317,240,342,923,567,582,693,404,265,
026,608,233,323,187,184,369,746,915,780,330,309,019,849,452,657,737,120,336,
103,461,944,728,587,128,167,957,548,053,060,828,396,346,071,924,667,301,822,
549,838,438,022,455,744,638,579,397,128,417,792,135,366,836,922,121,824,387,
583,074,175,755,132,095,466,424,316,182,488,238,753,208,394,268,771,200,787,
782,060,051,478,965,342,971,619,162,827,013,527,516,574,218,757,852,116,763,
692,533,572,358,625,639,396,889,497,264,800,485,463,855,234,976,673,263,929,
570,600,139,095,978,280,031,012,319,196,855,024,188,580,110,480,879,483,541,
282,373,419,201,418,398,979,909,501,691,508,606,750,966,090,360,766,484,634,
837,933,873,003,997,554,285,748,587,421,886,071,234,063,980,333,132,937,279,
463,788,787,564,971,511,064,795,547,744,588,467,476,803,378,300,157,228,735,
483,818,167,073,663,788,835,280,561,966,860,016,420,049,560,171,357,776,592,
297,368,428,052,906,382,724,378,459,563,212,282,471,872,111,396,499,064,556,
260,318,446,163,035,883,398,948,158,518,962,365,982,403,085,407,668,696,962,
366,884,419,528,799,378,830,872,270,588,567,041,717,184,451,926,874,068,083,
486,337,609,175,705,501,503,850,005,935,818,660,760,558,529,666,667,507,495,
635,652,783,615,552,285,907,199,836,754,617,808,657,309,037,272,407,418,124,
904,921,411,680,620,216,441,413,046,760,406,604,506,233,824,539,227,154,903,
615,839,567,652,615,963,992,940,749,011,035,527,333,128,607,738,259,967,577,
792,690,929,915,534,635,556,382,491,249,778,888,436,675,047,642,998,420,907,
701,623,013,018,450,833,735,568,451,963,993,068,602,312,887,961,625,413,692,
057,416,958,161,008,268,633,398,462,292,144,241,742,139,613,709,859,282,267,
804,302,345,043,699,713,261,636,167,625,511,086,195,310,091,450,937,973,382,
417,816,434,099,816,467,908,229,523,097,850,044,029,466,153,934,452,108,655,
060,431,357,202,831,736,806,724,255,613,121,286,670,378,285,778,456,103,130,
475,090,430,640,661,704,125,437,825,456,481,095,589,818,922,058,489,880,031,
750,789,060,649,122,426,249,248,449,942,981,463,616,319,776,340,400,731,091,
073,673,326,970,919,513,506,409,410,319,719,968,395,246,559,192,548,592,945,
764,542,347,450,396,648,832,377,093,253,611,465,126,343,304,718,313,145,124,
041,314,717,912,281,864,343,872,738,195,873,886,585,487,947,702,825,660,805,
397,837,212,908,594,406,756,519,124,953,694,386,899,536,408,791,727,694,416,
481,350,514,258,153,897,969,093,888,337,400,887,837,213,229,497,962,757,813,
184,442,934,793,087,865,317,183,870,547,715,918,398,957,472,215,624,566,332,
640,747,484,253,311,199,179,992,241,229,348,394,158,779,767,535,460,323,650,
134,111,019,603,659,653,317,576,489,960,487,117,325,475,514,249,617,793,815,
126,470,331,593,726,913,148,412,228,172,529,967,476,870,274,314,388,383,678,
122,392,081,376,510,834,669,874,269,484,247,988,029,150,378,686,082,814,446,
220,833,055,303,181,384,650,239,397,920,860,289,633,912,735,691,443,630,359,
221,057,432,684,204,116,938,640,177,302,996,680,717,228,546,533,274,824,954,
975,910,155,233,946,286,561,593,340,591,052,083,982,363,613,935,081,890,344,
130,123,003,288,229,342,660,514,903,496,703,795,811,996,436,565,710,902,010,
930,222,020,086,776,817,262,919,464,771,199,192,128,636,751,315,299,309,587,
147,074,310,551,444,940,479,168,128,741,468,002,141,995,149,648,700,527,959,
996,033,268,895,604,286,048,736,474,668,109,399,953,548,437,449,513,155,388,
616,940,812,633,110,125,679,285,988,463,220,412,136,104,697,873,897,505,710,
456,753,901,371,921,170,402,293,098,690,935,584,727,125,396,538,973,604,689,
481,441,685,481,045,623,328,645,774,082,907,120,874,423,592,640,579,895,581,
637,712,265,041,443,309,020,455,055,536,804,701,351,796,011,706,064,342,411,
248,084,845,348,436,905,630,224,447,680,919,330,936,240,570,589,807,491,590,
642,899,594,184,938,346,399,829,671,256,049,677,026,245,208,542,646,079,565,
131,459,300,215,410,036,997,828,682,118,803,195,022,469,163,541,460,629,762,
521,357,460,699,128,851,800,344,517,203,721,265,859,025,726,837,717,550,292,
363,822,149,095,316,177,225,908,837,291,335,352,264,508,243,242,960,588,027,
444,409,415,170,583,025,507,055,692,120,660,452,239,046,147,327,448,224,636,
400,744,113,494,134,688,994,256,537,328,458,472,931,342,900,053,659,376,475,
420,002,298,403,939,331,993,250,711,482,330,788,873,880,970,966,174,791,674,
207,707,889,607,049,905,175,819,822,673,642,396,134,863,660,746,421,646,623,
128,786,727,708,807,776,680,920,997,718,060,940,309,798,857,786,356,532,746,
335,302,237,663,457,647,358,628,698,130,478,192,351,783,576,299,881,653,839,
217,389,424,007,020,319,487,256,431,084,817,973,930,191,806,955,453,687,683,
188,740,172,208,343,055,543,321,790,221,666,244,280,559,260,433,255,324,272,
831,004,232,076,885,526,573,681,101,557,129,073,603,808,211,062,683,278,937,
477,970,286,444,768,367,169,103,100,661,112,315,654,777,393,652,359,335,907,
695,998,347,054,133,126,274,683,329,676,729,955,734,422,785,886,722,158,667,
476,715,749,011,690,571,757,813,203,629,487,577,322,038,011,543,162,609,674,
018,289,431,893,809,472,250,152,426,927,413,375,136,866,337,615,023,043,549,
978,232,454,245,873,955,409,094,851,247,334,285,756,548,719,447,855,553,465,
886,368,443,278,440,505,879,188,000,811,480,206,959,615,176,956,140,542,168,
880,069,588,974,437,281,920,310,194,941,028,726,566,080,025,657,452,449,917,
712,611,226,445,832,165,966,107,695,814,225,778,939,016,402,402,080,833,618,
468,812,732,200,213,682,388,971,804,385,144,684,522,197,769,316,890,093,176,
841,022,778,062,360,447,994,407,912,827,916,205,379,795,304,107,221,528,555,
763,923,481,281,827,887,545,527,345,047,099,447,198,980,852,341,729,171,177,
197,068,423,510,602,470,969,058,165,284,853,691,243,871,008,005,204,932,216,
334,082,567,776,291,587,109,001,223,183,130,177,096,461,492,457,166,771,469,
292,510,091,573,789,303,173,378,171,807,784,703,850,326,207,757,997,129,897,
034,140,607,875,378,836,505,497,146,937,263,809,706,055,308,193,362,090,972,
269,147,775,463,626,174,434,066,239,072,660,430,426,242,465,296,097,740,588,
511,640,448,527,959,767,542,083,042,818,269,094,378,140,220,521,464,119,189,
997,534,539,053,495,683,156,995,871,722,232,890,665,864,453,364,026,526,429,
595,822,824,604,113,634,458,305,375,164,250,277,162,390,750,565,742,167,645,
081,408,847,411,682,705,889,205,320,711,840,059,830,586,130,153,268,278,735,
510,270,669,234,251,424,086,952,695,901,160,509,236,711,687,496,312,895,655,
825,133,206,941,637,254,101,055,738,994,131,238,549,279,695,320,934,291,516,
918,567,207,742,604,795,865,698,471,072,700,681,262,183,792,082,096,466,868,
479,039,527,570,516,963,302,500,987,790,041,134,856,049,975,019,787,432,909,
247,913,784,253,085,925,218,274,953,147,863,803,187,373,889,346,242,423,653,
792,644,040,820,555,259,962,033,996,510,058,279,881,167,474,164,163,713,945,
071,938,870,291,712,960,331,056,288,269,444,489,873,778,649,562,096,494,174,
540,742,998,745,152,738,687,169,006,158,279,966,386,511,054,528,517,280,152,
429,833,313,387,337,744,465,549,848,979,331,506,527,266,884,205,861,027,351,
633,478,432,615,533,814,366,469,030,763,835,875,652,722,493,788,907,730,473,
710,440,125,516,783,273,250,433,361,554,906,939,349,106,474,360,293,415,936,
532,880,816,616,348,089,445,750,278,790,620,612,401,282,388,009,032,573,831,
279,004,337,186,302,918,605,012,285,831,475,621,601,333,261,085,959,835,141,
306,746,113,935,418,138,199,005,896,134,898,420,092,079,976,112,147,074,876,
808,540,285,638,255,371,734,305,668,587,319,530,054,682,449,444,813,616,852,
634,948,625,833,890,081,617,173,154,384,980,682,768,308,979,298,762,598,116,
522,010,910,795,162,449,838,102,340,349,169,439,497,984,942,281,089,792,462,
573,012,706,160,627,648,232,353,363,791,879,976,594,140,252,430,590,230,854,
869,497,824,398,463,514,665,367,818,314,639,732,359,387,676,046,824,528,542,
721,714,647,016,598,914,880,449,893,177,718,928,181,613,224,324,486,017,323,
692,229,407,712,636,350,279,945,231,220,880,213,444,433,717,319,997,246,063,
371,326,904,599,697,662,762,498,035,294,491,846,867,153,562,417,396,112,014,
645,082,527,427,167,142,411,471,616,527,657,315,979,427,722,031,112,217,582,
809,349,013,642,289,684,681,119,299,222,871,285,892,171,616,985,195,764,179,
032,219,378,609,384,833,248,684,735,145,658,380,822,255,740,991,797,923,361,
780,763,028,427,845,863,885,794,389,765,116,835,470,671,284,158,464,322,010,
146,397,661,154,192,332,354,703,845,274,317,846,328,933,952,812,821,173,631,
311,035,212,007,550,275,259,881,062,757,320,437,145,772,455,824,479,264,008,
198,422,578,488,208,127,040,754,346,679,625,787,337,428,899,491,196,385,447,
455,995,937,827,131,013,636,772,776,477,195,147,378,701,646,693,424,274,089,
577,242,196,649,081,673,050,503,002,245,172,029,546,559,035,536,661,905,734,
399,292,753,379,035,970,429,217,118,164,948,562,044,381,084,251,784,826,017,
391,177,402,335,173,944,612,335,559,007,440,012,736,833,662,615,034,584,248,
655,318,774,575,944,921,277,894,199,248,118,042,269,190,992,248,800,717,899,
854,460,479,538,701,075,021,111,468,956,510,189,887,212,847,445,472,915,040,
770,726,920,604,980,134,014,157,101,287,293,160,491,248,380,271,011,379,383,
169,624,215,946,080,851,573,063,408,647,859,179,468,495,803,343,823,906,710,
398,841,714,949,717,803,311,874,621,208,386,249,575,493,544,736,787,543,134,
835,260,290,984,977,192,335,615,954,796,024,497,319,587,828,692,688,357,727,
767,480,812,973,339,956,096,920,187,560,426,137,377,170,019,253,242,986,234,
863,631,885,618,564,317,349,877,605,172,583,696,863,644,821,455,437,918,874,
826,002,733,761,014,903,653,986,192,674,361,477,590,325,050,991,721,037,933,
007,017,870,239,435,044,550,590,716,536,902,042,154,174,700,058,798,832,853,
556,370,979,962,546,953,961,132,951,169,185,715,218,309,871,760,326,956,439,
082,419,941,872,706,831,144,944,584,377,127,693,561,042,977,987,843,210,481,
362,551,551,470,436,796,723,056,585,089,344,406,460,796,079,134,638,831,117,
848,999,582,185,817,377,002,782,266,057,387,297,346,687,900,476,354,632,903,
517,266,078,870,944,889,813,516,933,721,685,589,140,702,469,993,068,856,039,
082,716,007,288,202,218,009,229,579,835,312,800,761,205,632,240,804,669,204,
594,320,819,880,014,453,731,772,166,587,589,532,643,451,673,641,517,320,359,
426,899,163,402,126,600,549,051,385,781,197,625,643,357,021,349,336,917,603,
293,659,386,844,842,593,784,297,892,863,431,610,867,511,890,587,075,072,590,
585,714,156,047,385,584,749,152,497,973,258,586,213,246,841,242,608,953,645,
555,243,016,900,736,308,786,853,498,007,736,356,925,062,524,676,041,316,928,
155,560,462,814,999,006,667,977,843,613,271,920,706,966,278,043,320,526,542,
326,272,808,628,187,218,563,886,538,744,890,971,310,005,028,942,315,978,945,
932,923,457,557,090,586,360,749,153,093,249,854,594,071,190,706,498,624,943,
046,521,178,644,709,847,164,828,271,189,882,766,824,411,084,215,548,123,723,
148,779,644,765,128,108,014,320,418,361,684,774,181,276,372,104,472,246,064,
035,124,136,137,987,458,374,164,159,212,213,277,847,449,371,985,994,300,578,
311,950,961,944,791,052,470,979,069,920,317,591,494,233,741,920,570,892,200,
731,033,782,415,911,530,246,020,781,115,381,686,392,747,390,531,452,759,899,
159,783,810,253,085,919,685,701,951,523,270,833,919,711,872,172,558,987,175,
392,647,039,658,340,605,210,269,657,932,734,957,505,478,480,421,576,901,525,
302,708,895,888,230,490,073,024,226,015,748,072,449,866,055,539,759,244,388,
054,822,175,038,706,897,760,112,351,262,198,431,230,415,374,292,317,383,376,
773,544,255,429,488,438,568,488,328,323,218,276,503,214,422,533,346,155,720,
675,544,879,192,445,133,399,133,083,182,755,799,675,613,434,867,725,861,017,
050,154,827,026,029,633,861,286,699,304,076,818,516,661,400,348,956,833,491,
567,156,436,379,738,178,355,984,930,787,373,530,684,382,451,251,972,649,930,
385,270,257,560,714,352,067,242,902,162,949,543,521,228,097,377,294,969,798,
013,237,215,061,832,212,677,556,130,234,807,853,565,648,386,001,991,731,586,
056,312,552,266,315,620,669,335,932,251,357,882,599,829,975,620,899,604,886,
417,853,464,845,325,805,723,043,925,713,425,693,613,887,196,050,632,947,068,
219,996,750,718,552,888,010,563,168,569,705,961,045,359,893,541,480,487,902,
757,204,855,650,920,653,720,641,190,667,124,534,600,571,609,731,749,790,962,
342,288,924,888,666,531,798,592,419,344,496,228,453,826,960,412,779,006,755,
783,350,009,999,595,459,952,795,258,575,494,973,840,013,649,698,219,945,338,
445,538,461,499,332,510,996,322,207,190,857,388,708,843,201,067,723,775,107,
359,446,743,264,104,296,931,997,832,425,604,213,373,485,334,215,708,687,526,
035,113,471,259,559,048,065,335,713,505,206,559,597,387,662,833,933,591,896,
575,717,623,254,835,077,389,489,191,606,772,380,204,865,721,944,488,781,968,
123,023,074,357,121,358,636,540,504,411,695,490,587,904,589,681,642,622,352,
834,262,464,883,073,276,896,710,719,780,586,812,504,330,837,033,388,578,416,
418,744,902,849,086,456,089,256,413,914,651,054,127,250,447,514,003,767,292,
171,822,080,443,616,486,357,458,824,957,698,451,289,205,514,453,736,937,144,
203,021,985,990,243,748,689,318,922,436,380,862,764,883,637,219,436,019,388,
308,212,487,142,455,813,178,162,837,312,326,934,883,947,818,395,904,207,256,
487,161,024,994,438,851,652,119,018,881,374,003,706,667,360,250,351,812,201,
931,298,075,997,406,220,139,601,645,790,647,946,774,963,892,136,779,891,071,
445,747,646,061,981,249,850,202,865,646,532,471,683,952,023,345,707,454,623,
063,184,645,995,725,580,318,936,569,602,509,345,609,121,019,027,371,387,804,
017,355,754,544,851,624,183,319,057,677,134,140,485,115,968,601,077,404,828,
373,539,709,301,655,421,738,609,177,371,940,991,124,537,724,596,574,302,752,
307,118,612,603,346,699,644,188,742,442,700,001,054,231,578,122,060,203,589,
419,464,213,252,690,717,698,188,790,006,543,612,788,985,665,997,577,723,952,
728,639,879,267,241,714,936,981,247,141,924,563,893,065,040,291,952,107,081,
007,475,885,718,211,797,180,599,301,134,503,102,409,216,359,602,618,327,603,
743,365,635,363,040,853,989,940,188,879,350,847,246,303,162,904,576,698,645,
943,903,326,039,955,563,465,652,808,321,328,643,606,757,460,925,697,931,765,
112,355,803,729,093,868,981,642,708,244,934,218,562,755,289,946,121,341,352,
203,732,518,320,517,452,607,690,119,934,860,305,246,829,935,350,605,768,642,
106,382,959,128,971,843,378,699,708,160,337,169,840,450,561,894,675,491,286,
036,131,011,243,703,147,678,693,775,481,173,931,023,932,016,968,483,003,163,
205,864,661,163,130,994,490,413,838,899,949,356,884,279,342,576,841,836,823,
744,576,653,223,091,526,382,416,379,902,709,924,744,449,961,528,302,068,108,
758,443,437,187,709,621,626,581,939,922,272,323,772,155,371,215,074,957,669,
251,989,450,887,039,954,184,804,219,657,291,005,215,369,184,786,715,703,719,
970,739,644,120,814,186,172,164,830,238,728,677,012,472,519,921,214,073,652,
241,870,991,615,465,115,986,469,764,940,897,576,457,733,795,077,065,828,336,
599,738,307,440,805,926,180,938,554,316,445,679,727,243,212,859,526,783,481,
973,401,191,616,503,643,252,992,638,687,321,469,058,065,552,015,847,951,294,
143,795,005,352,455,726,768,733,277,571,175,727,838,228,974,543,396,058,330,
077,415,072,316,107,905,623,379,884,224,968,533,040,013,388,238,706,231,420,
825,249,935,814,275,908,582,759,709,423,571,478,910,160,674,267,879,529,768,
269,496,121,696,466,693,129,782,001,445,895,268,017,915,039,078,138,397,267,
533,313,439,604,498,791,378,655,697,721,196,953,068,408,617,090,574,208,803,
451,747,274,811,820,299,417,819,350,164,372,973,500,728,574,675,433,921,458,
799,806,545,037,108,596,853,262,330,443,798,366,860,173,250,278,834,717,493,
775,282,301,317,181,210,427,590,769,785,158,041,463,102,221,850,542,157,527,
777,071,903,384,685,176,763,594,583,034,875,444,086,972,804,409,798,782,676,
584,895,192,772,848,640,898,385,782,452,905,453,069,575,126,448,310,109,396,
338,802,741,803,277,008,990,774,771,841,652,094,588,662,603,212,523,381,844,
561,087,738,897,223,886,694,938,209,638,438,813,674,737,491,272,857,608,700,
202,256,804,061,010,107,011,415,345,673,076,532,334,022,461,335,415,406,212,
454,826,603,151,204,354,616,365,290,742,893,542,621,867,746,019,869,309,141,
698,115,895,780,007,420,543,219,444,335,799,736,118,019,641,212,628,382,634,
808,590,443,829,396,863,515,719,909,384,883,477,143,133,853,955,226,207,240,
341,418,166,869,328,515,478,190,713,777,764,138,206,097,874,363,261,635,688,
315,393,600,909,964,938,367,778,413,472,380,542,331,103,901,116,831,214,733,
737,003,985,676,069,612,261,324,574,049,956,773,692,147,472,033,493,807,422,
173,879,761,348,326,093,148,449,848,881,966,653,916,669,198,227,379,818,955,
319,085,844,068,757,659,764,124,115,129,494,876,472,822,374,588,198,330,713,
043,021,759,418,291,266,800,059,062,432,417,608,964,668,948,204,769,348,672,
010,580,138,937,800,880,952,256,533,919,531,670,507,028,030,089,316,415,318,
566,277,149,789,832,366,322,680,936,157,047,203,737,198,658,056,310,493,342,
308,969,440,963,630,858,337,357,106,799,707,843,402,054,854,168,150,201,074,
916,669,713,958,520,779,688,233,054,187,758,867,767,211,341,339,657,145,661,
776,526,751,104,856,697,979,883,271,311,460,630,223,418,574,187,808,532,015,
743,900,225,799,568,978,979,707,858,497,277,101,652,191,438,011,096,121,458,
045,340,171,926,020,355,376,401,750,234,083,386,036,101,274,106,117,469,813,
666,114,630,705,688,408,894,162,136,693,955,922,396,478,888,274,857,596,339,
155,855,918,128,244,830,195,889,552,239,805,705,406,894,277,026,988,321,603,
808,607,489,712,187,062,905,108,095,507,713,543,405,825,771,365,437,389,929,
930,643,772,571,466,949,928,077,088,715,673,644,708,625,491,361,345,796,963,
421,801,329,637,136,106,669,675,996,779,967,889,123,704,924,599,281,698,131,
377,362,898,233,861,550,237,257,650,431,680,799,106,026,792,141,641,909,975,
491,346,086,080,618,525,645,254,094,506,966,571,998,999,969,695,161,819,737,
536,405,259,780,514,185,921,933,665,774,059,560,918,020,416,950,489,653,226,
732,700,013,020,861,841,590,466,975,649,925,690,837,988,226,847,327,640,880,
918,826,115,120,557,710,802,470,393,451,138,388,309,787,851,434,990,637,739,
606,220,336,961,073,845,468,562,300,162,867,607,330,684,994,810,088,281,323,
557,367,994,939,902,239,980,727,928,509,535,232,884,872,576,335,941,257,582,
286,148,041,521,715,174,322,243,918,947,891,954,060,502,208,921,335,626,840,
308,789,015,357,689,462,400,192,637,482,469,889,121,353,633,411,605,436,302,
948,722,664,378,069,745,633,508,949,800,942,255,024,752,426,666,710,207,925,
025,330,009,977,448,653,602,403,273,626,155,551,812,614,999,222,485,083,414,
015,785,124,721,443,904,433,536,736,504,519,514,762,473,102,419,082,158,377,
370,260,056,866,808,299,401,456,761,054,132,672,659,325,871,542,359,513,639,
159,304,075,673,693,618,284,556,689,673,504,404,650,403,251,896,517,280,569,
476,760,625,323,895,552,583,765,462,957,547,667,064,824,129,787,123,711,046,
955,849,351,343,112,711,058,278,796,638,589,495,101,733,846,582,367,156,327,
500,482,519,466,560,521,980,818,186,005,723,800,375,869,586,640,584,533,281,
316,519,840,484,863,202,669,357,836,981,690,455,530,956,798,147,392,151,009,
112,017,398,161,665,185,490,007,933,128,639,374,044,987,415,762,425,041,086,
136,434,698,026,227,106,057,963,286,559,494,391,358,468,913,929,516,264,712,
921,371,823,243,392,440,897,503,667,501,465,043,132,778,193,051,445,588,542,
473,561,603,715,490,268,261,648,698,891,448,246,346,134,347,966,247,325,339,
558,459,128,057,709,414,870,022,314,044,276,809,857,096,573,299,479,486,240,
890,208,676,897,907,986,910,921,556,182,571,710,213,083,656,190,120,960,881,
445,776,371,059,140,643,456,030,998,253,268,768,734,225,323,616,302,718,909,
019,810,035,724,210,498,402,198,935,231,566,247,055,478,835,171,500,768,026,
792,038,181,106,122,507,694,393,901,707,128,287,688,806,782,522,442,431,264,
540,400,125,918,391,968,057,313,877,898,750,322,320,971,554,848,462,777,067,
101,264,631,553,311,170,081,468,542,948,710,586,332,235,892,182,365,474,670,
996,103,690,144,086,236,223,795,574,464,944,730,326,073,289,210,108,399,492,
095,027,544,536,846,274,756,076,302,018,894,430,602,576,246,318,472,224,472,
944,698,010,528,843,478,037,812,285,305,965,217,595,008,869,454,255,430,126,
551,606,932,928,564,766,140,480,943,116,849,871,662,567,603,978,195,409,357,
429,531,738,500,589,214,991,464,241,708,554,870,173,854,180,993,240,265,025,
528,437,106,000,451,949,891,613,490,357,564,621,143,001,053,142,453,914,266,
785,709,443,581,627,686,407,399,882,672,560,554,202,281,531,118,877,821,589,
912,742,769,326,482,588,800,698,463,161,295,027,485,943,628,126,510,698,451,
361,723,704,105,324,352,959,464,453,544,822,357,865,433,441,816,084,485,402,
757,691,300,646,613,399,149,444,189,365,158,518,901,205,298,659,732,775,811,
861,864,119,336,808,679,031,308,640,499,241,052,226,044,311,402,582,436,685,
237,584,452,046,868,188,738,751,892,795,261,921,393,597,967,487,668,763,698,
164,136,834,576,210,407,133,672,651,685,768,676,900,185,242,276,778,535,301,
612,264,134,477,608,369,814,650,246,730,361,303,265,035,550,082,457,110,470,
214,830,663,058,734,590,422,349,272,401,298,144,812,462,667,034,230,959,373,
572,155,115,159,279,964,278,209,574,083,195,963,219,205,831,387,649,431,370,
648,419,984,215,497,521,858,928,477,625,621,566,856,240,840,801,228,661,265,
726,580,356,321,853,568,075,670,576,089,743,198,997,482,801,066,626,547,160,
332,925,801,924,373,616,371,554,516,001,013,128,506,904,906,571,218,389,004,
833,041,149,525,691,935,243,937,426,162,827,246,337,424,192,646,696,456,088,
549,473,812,411,839,345,872,522,632,594,105,293,601,199,824,481,910,395,001,
290,346,455,430,417,497,179,617,167,060,400,874,034,266,546,961,945,369,908,
437,755,896,416,581,647,745,565,509,575,752,566,727,684,630,229,183,558,336,
328,404,661,965,781,971,338,655,197,991,961,942,013,952,066,005,279,815,062,
341,491,545,001,923,301,436,712,573,093,201,102,921,498,453,254,265,686,682,
405,990,614,759,010,544,138,077,189,329,485,820,380,828,237,562,127,999,110,
757,779,951,763,966,509,664,624,168,970,518,825,884,171,910,105,583,390,309,
181,450,276,588,100,452,189,385,040,844,837,682,751,314,250,244,268,692,830,
514,773,054,224,837,527,883,833,649,521,006,972,135,265,012,389,762,047,233,
874,648,169,158,346,064,115,499,220,525,127,588,552,530,423,283,867,343,293,
291,583,240,358,442,566,900,857,385,340,957,410,027,269,990,875,882,949,205,
951,436,295,967,532,752,091,935,527,580,849,398,908,642,720,528,759,776,168,
547,251,173,533,722,217,806,982,081,469,978,054,235,069,445,397,410,624,967,
635,937,379,366,914,046,123,192,905,589,049,382,797,031,542,349,317,276,950,
751,812,566,999,621,851,205,259,467,856,224,136,715,839,117,714,377,165,970,
034,974,525,901,743,750,293,309,930,219,508,625,933,794,680,174,823,268,508,
348,359,630,039,292,881,390,721,770,892,516,266,793,686,694,343,950,867,298,
010,151,164,718,903,819,946,335,860,545,905,798,923,876,463,518,203,134,249,
710,632,666,844,330,239,555,845,541,785,768,459,676,606,321,000,256,433,262,
675,329,026,924,203,446,711,663,389,817,997,737,514,999,265,515,727,033,123,
830,393,034,534,383,174,342,473,006,313,334,787,701,367,376,430,049,937,478,
916,352,631,037,133,145,563,275,844,831,458,178,545,389,096,222,228,828,642,
658,347,927,733,228,633,045,359,985,897,124,419,185,626,834,061,329,256,696,
640,994,097,155,689,990,458,960,748,880,864,261,493,443,308,355,795,746,782,
213,877,784,477,008,218,118,905,812,227,545,671,083,638,271,371,882,675,240,
312,959,786,456,413,142,132,372,787,261,378,323,980,969,196,650,367,597,430,
410,662,388,518,041,584,132,500,313,616,794,613,917,394,962,823,763,307,084,
127,057,544,638,970,411,861,546,980,851,786,064,691,062,672,744,280,209,318,
835,525,341,021,632,254,726,082,150,139,661,530,857,363,173,673,069,292,095,
286,113,975,496,354,255,686,037,968,727,697,637,640,562,462,183,229,358,590,
957,674,564,756,236,124,846,223,717,504,550,197,852,850,929,688,619,085,756,
867,675,390,371,919,681,671,955,286,507,562,433,265,021,238,041,494,137,234,
213,159,394,780,601,806,788,891,827,214,680,567,634,747,871,134,595,376,758,
887,607,238,267,277,294,858,244,859,435,024,605,326,558,471,978,674,165,363,
371,402,333,009,873,633,750,541,920,366,068,994,937,967,265,941,064,314,523,
543,691,965,972,828,468,523,806,795,840,694,805,681,873,822,208,285,837,409,
762,046,399,226,666,618,107,258,264,128,969,017,739,024,713,768,010,939,417,
412,093,159,490,014,602,352,477,016,675,942,273,155,769,557,799,951,463,814,
535,212,586,206,431,034,956,171,409,122,628,714,262,706,641,845,143,324,386,
934,530,160,394,259,315,783,328,337,101,582,572,961,612,934,553,530,094,058,
845,731,910,813,317,923,900,091,790,883,593,407,034,091,020,299,644,466,995,
625,082,103,120,163,462,077,623,604,083,636,598,328,420,994,714,760,298,298,
337,714,616,895,247,844,493,895,544,767,432,242,992,925,769,501,259,982,899,
906,864,340,384,641,687,916,520,182,200,769,563,039,710,320,599,451,398,100,
516,717,712,047,067,086,643,292,455,670,046,276,866,444,754,281,525,246,376,
928,427,914,713,247,978,557,239,806,276,225,242,021,069,734,109,548,549,074,
503,953,893,310,078,663,942,329,616,485,025,926,860,034,834,175,038,798,432,
053,784,651,698,292,614,885,734,141,135,660,020,073,012,856,684,762,074,649,
876,962,478,212,461,071,243,932,097,519,559,940,199,075,729,087,674,975,027,
509,563,005,316,953,644,013,749,625,344,749,961,257,184,589,797,547,414,301,
489,828,107,336,259,768,189,746,571,757,178,374,305,774,927,427,722,781,338,
595,493,738,056,371,565,523,708,839,478,565,163,310,434,855,568,636,593,326,
423,729,261,417,275,657,368,887,379,614,409,464,382,698,868,815,726,681,831,
574,357,082,982,385,695,990,695,647,157,511,011,437,973,807,871,918,606,770,
154,351,393,992,867,146,511,115,448,977,664,976,578,474,282,386,487,673,293,
564,313,760,913,204,964,801,404,640,527,325,642,742,224,120,380,916,406,607,
444,021,529,454,176,917,164,655,152,390,911,513,528,687,749,721,119,283,684,
145,311,326,943,863,098,376,481,171,721,482,170,173,778,920,929,696,362,300,
133,635,025,367,027,827,367,721,145,486,272,878,736,317,513,092,178,114,092,
220,658,663,262,838,317,648,295,951,549,728,099,310,352,601,759,436,514,500,
691,856,719,035,167,359,714,186,634,040,242,088,945,565,394,042,662,982,518,
443,220,248,765,087,823,716,716,935,189,428,492,933,051,163,408,341,000,598,
581,860,985,326,148,319,899,568,537,833,612,107,141,952,961,096,937,755,508,
602,211,559,596,584,102,179,358,425,186,908,778,858,578,405,700,403,699,721,
789,232,428,525,056,134,068,011,937,146,655,080,884,898,172,005,085,477,472,
174,983,463,685,704,152,892,480,497,057,376,945,762,451,027,838,487,443,462,
455,488,730,294,177,136,549,371,518,225,592,068,929,788,567,225,558,967,136,
621,520,773,289,504,605,935,284,285,134,632,164,647,608,357,335,945,665,820,
398,621,057,432,882,658,363,324,341,335,823,133,351,836,550,031,704,269,222,
944,150,995,083,863,472,022,770,087,698,543,340,310,930,190,709,947,481,383,
680,331,326,905,731,848,287,913,742,654,393,953,114,220,012,659,599,546,388,
138,510,945,411,188,151,097,009,339,850,682,371,717,581,763,026,526,675,885,
448,610,941,943,977,239,680,852,645,500,204,650,650,775,343,420,123,779,588,
033,813,040,459,065,006,267,677,292,066,085,776,166,634,099,905,286,763,005,
833,841,329,695,069,001,463,071,576,258,382,777,382,602,270,132,172,338,825,
767,567,842,514,961,864,764,218,847,524,147,648,790,408,923,156,974,568,809,
646,344,986,387,550,162,400,286,367,091,932,597,946,235,738,549,987,332,767,
915,656,280,775,573,059,015,016,093,426,108,550,041,482,018,317,059,961,612,
472,735,700,860,000,939,109,786,510,288,096,303,244,566,121,104,583,905,056,
340,590,540,365,518,766,670,326,122,199,465,220,596,911,775,033,637,616,681,
720,718,370,615,392,134,419,440,688,518,999,080,385,884,656,522,257,840,650,
911,848,840,710,231,330,100,893,709,785,505,476,345,525,977,967,814,968,689,
107,720,630,641,374,545,512,924,645,255,923,647,611,701,149,532,124,944,062,
604,713,933,610,455,401,275,827,770,399,820,028,594,682,104,256,624,862,328,
611,081,426,507,303,786,089,410,412,662,315,383,087,818,716,243,407,919,587,
115,713,219,491,277,333,957,577,263,122,438,294,042,318,942,021,038,266,043,
423,844,668,224,050,541,988,559,400,689,553,194,702,375,590,666,945,733,140,
552,187,008,139,045,113,369,533,567,912,076,914,001,945,726,007,403,202,775,
289,374,008,865,150,899,821,016,668,571,268,408,880,870,312,263,521,258,836,
463,899,965,149,931,818,321,846,593,367,770,786,251,334,212,212,024,020,649,
261,998,357,997,274,646,789,141,077,287,138,861,885,251,128,529,513,158,852,
008,642,724,259,276,369,961,450,989,514,735,272,903,561,649,703,079,948,142,
433,523,221,753,958,304,765,410,475,915,861,682,996,178,554,208,474,398,978,
781,318,917,199,541,094,957,991,473,331,250,775,397,176,879,177,001,335,947,
029,522,058,516,489,702,705,622,823,462,993,866,711,545,569,490,692,022,848,
732,754,610,762,258,865,534,768,176,726,082,590,809,662,841,662,522,233,834,
811,692,687,026,409,142,769,522,133,206,515,617,084,808,532,160,250,749,821,
669,660,370,651,615,717,077,290,978,866,882,640,987,044,046,883,272,403,030,
725,143,015,448,008,754,766,279,472,040,960,090,284,820,799,180,065,433,648,
074,246,736,018,671,121,699,108,804,438,398,416,986,691,357,744,510,787,317,
954,244,829,284,671,806,253,237,226,979,739,112,447,268,342,185,888,830,401,
974,831,295,315,486,676,280,934,798,128,911,958,091,429,896,097,937,516,502,
159,289,810,972,531,529,099,623,519,702,857,358,898,676,300,885,769,780,377,
451,166,568,395,651,478,691,195,997,909,718,912,976,318,548,946,345,790,862,
337,678,834,972,006,666,583,084,295,895,230,874,969,365,879,006,391,626,522,
430,021,697,618,283,532,413,371,089,883,633,825,562,634,163,316,094,583,671,
058,265,619,518,098,245,978,458,415,171,245,897,254,654,247,324,003,813,406,
524,690,315,270,343,321,105,409,977,084,870,288,688,195,069,219,647,996,489,
293,448,510,893,692,361,470,588,550,604,768,485,596,241,895,906,920,739,035,
390,870,427,899,557,971,787,647,443,680,720,103,503,942,919,136,480,353,952,
881,289,821,167,178,460,418,273,970,771,782,132,518,999,098,393,214,423,573,
421,120,466,931,336,748,880,316,585,038,062,632,018,626,344,130,753,631,595,
112,911,819,402,460,117,506,778,105,015,105,866,494,483,217,267,490,325,965,
730,617,461,211,836,308,591,425,833,367,766,339,753,634,842,536,976,428,275,
719,538,946,428,513,580,777,163,285,008,289,742,116,581,737,763,603,389,870,
121,435,054,577,685,159,166,969,888,387,882,243,087,802,236,596,967,875,225,
165,491,500,499,729,812,806,020,361,945,050,022,715,727,562,163,744,657,284,
739,705,221,009,943,462,780,247,695,336,507,306,307,317,942,068,855,071,448,
657,489,288,370,356,535,687,057,308,254,189,069,356,788,047,722,925,371,044,
288,781,874,605,788,123,874,751,920,773,912,160,184,835,812,337,517,749,537,
367,151,114,952,217,193,353,722,724,740,978,536,901,535,126,732,726,515,464,
132,521,232,349,057,371,784,811,948,504,392,393,481,471,084,186,127,665,535,
840,351,299,578,461,743,462,503,973,275,529,393,517,237,095,934,367,962,496,
753,759,274,323,831,907,045,594,545,271,983,936,273,081,826,967,603,703,067,
692,649,649,609,510,981,817,270,862,333,146,537,758,542,290,552,068,596,420,
014,200,286,233,078,167,377,620,763,753,134,766,779,673,423,207,995,131,203,
033,535,950,496,280,434,131,965,918,615,148,093,806,575,015,353,082,834,294,
763,132,189,031,054,882,054,143,585,304,072,223,749,651,780,520,021,613,667,
398,119,479,414,555,483,514,992,314,643,490,801,005,391,417,888,046,418,443,
546,493,529,206,484,787,387,988,748,105,127,447,840,999,022,510,317,194,891,
627,300,685,833,278,992,106,348,379,131,979,321,262,814,484,863,115,761,047,
830,262,801,657,193,421,720,590,698,176,136,792,226,157,157,577,647,439,310,
657,148,343,396,561,140,852,253,603,362,980,750,585,512,950,094,039,775,154,
279,082,881,979,557,269,764,566,003,063,722,520,822,772,994,652,890,080,940,
368,322,660,079,767,953,259,627,951,593,822,670,048,194,828,449,605,278,418,
023,203,423,931,090,586,856,403,027,353,512,565,555,954,761,772,607,264,315,
174,379,395,979,112,885,605,600,154,334,165,913,726,160,297,807,265,231,629,
118,330,766,979,766,108,807,886,059,815,577,944,304,945,279,011,479,586,876,
762,494,036,167,687,111,741,323,694,449,117,444,310,574,580,753,642,655,496,
372,968,059,638,093,766,408,891,642,336,871,554,343,889,281,721,111,473,662,
720,876,659,814,200,907,073,139,368,336,691,213,916,920,921,098,990,866,986,
057,675,428,665,313,152,733,507,712,960,351,073,299,451,095,709,188,109,272,
270,647,058,164,875,968,823,240,974,540,686,294,291,790,108,694,303,491,950,
658,042,701,391,874,382,429,850,876,226,561,553,078,965,131,656,053,258,720,
927,682,043,197,761,179,769,165,363,450,446,090,255,506,243,451,969,329,834,
033,440,382,571,533,085,850,791,804,936,640,114,578,230,847,345,316,517,779,
228,187,344,132,470,364,878,503,734,309,113,527,798,080,747,153,320,773,221,
159,743,518,128,567,938,151,341,008,424,458,545,657,595,010,605,227,656,528,
618,492,111,726,907,671,930,127,365,856,321,375,643,640,517,228,576,390,610,
970,301,812,233,045,986,698,742,376,348,005,537,805,814,108,860,809,861,935,
910,258,638,653,147,375,025,097,073,095,949,356,344,933,401,019,748,346,553,
014,210,068,443,137,038,337,716,011,188,362,336,154,357,588,873,173,906,096,
373,693,859,366,732,358,851,985,083,647,972,731,944,108,388,232,545,396,300,
014,554,263,868,447,496,682,480,780,283,980,688,296,031,267,398,409,442,673,
301,748,203,320,629,331,561,231,915,144,122,662,662,416,554,773,764,308,962,
832,578,604,726,926,617,655,029,750,081,838,371,974,359,387,507,913,099,519,
159,283,167,347,108,199,985,767,339,175,603,681,958,166,350,083,106,721,708,
783,607,019,981,210,125,092,253,305,027,659,373,870,480,714,097,246,911,100,
794,974,732,498,138,392,908,782,278,740,882,173,554,977,171,064,698,156,992,
068,381,977,034,402,472,828,423,030,726,674,635,415,999,644,181,915,359,566,
951,333,872,594,528,636,106,522,989,128,407,224,379,881,206,894,758,267,144,
248,339,119,698,225,523,213,898,353,324,235,289,938,063,511,754,372,363,420,
587,117,070,809,991,252,834,694,113,552,988,753,705,110,897,977,826,667,973,
688,793,409,276,830,515,067,770,916,768,734,734,441,331,984,674,576,437,241,
234,228,708,424,422,011,227,714,864,407,371,319,836,272,906,014,086,178,465,
062,919,943,010,917,750,173,369,842,945,951,652,605,655,942,807,447,287,999,
087,904,463,677,195,527,569,473,762,414,689,473,714,441,829,773,193,114,787,
730,636,303,932,902,211,059,241,309,072,631,184,338,904,584,568,142,172,660,
014,964,646,138,931,907,206,496,652,257,816,255,046,121,425,985,954,406,419,
365,699,545,984,793,506,006,170,968,489,079,026,141,573,487,300,124,202,691,
453,525,476,786,753,610,689,002,475,564,680,936,220,006,978,957,743,203,387,
867,026,325,044,273,640,917,343,722,487,673,327,752,560,385,362,549,999,426,
265,988,728,046,108,479,578,278,785,257,513,894,568,778,888,206,416,316,908,
034,428,004,073,025,050,424,835,150,892,140,738,812,735,228,518,299,992,551,
526,666,060,775,667,765,495,362,735,763,216,484,035,789,223,111,434,651,171,
327,845,267,781,938,803,709,407,181,201,106,136,930,804,980,165,433,617,372,
589,518,085,846,568,801,349,942,545,852,770,290,478,530,242,387,575,229,821,
520,669,908,259,620,280,081,745,724,813,832,607,280,365,521,458,063,197,017,
147,414,488,306,429,229,737,622,711,883,605,489,995,116,452,035,675,706,978,
591,720,348,064,505,441,715,069,925,125,022,829,183,703,133,348,662,320,479,
968,067,244,509,917,172,371,951,698,466,320,538,974,801,326,683,662,618,810,
631,962,644,419,685,530,337,704,638,439,893,883,587,700,079,522,342,539,443,
176,089,472,481,839,007,523,932,875,570,440,905,334,276,640,743,315,113,615,
710,169,024,384,167,360,958,978,739,206,033,609,062,467,966,290,319,734,400,
974,860,515,902,219,041,057,890,023,359,605,822,669,976,064,111,292,976,317,
685,177,470,844,802,060,196,444,134,156,666,411,790,847,906,165,240,986,603,
655,102,342,930,852,839,358,402,613,652,114,407,494,223,758,413,914,160,183,
687,499,324,858,805,094,533,581,611,553,706,130,978,535,103,561,344,599,421,
823,269,945,754,095,143,152,206,879,903,213,961,387,231,195,277,305,063,554,
811,586,383,317,952,230,843,934,067,426,092,705,248,010,333,165,877,915,964,
343,636,064,153,308,416,537,242,248,785,480,010,924,372,352,607,927,886,205,
170,572,061,637,316,207,982,914,938,359,306,632,224,862,207,406,593,712,315,
284,974,363,629,480,692,111,187,935,740,186,441,255,800,040,235,771,009,768,
030,876,917,559,573,574,614,722,578,908,344,269,434,198,031,191,954,677,678,
592,886,971,665,472,497,629,216,409,192,717,165,929,085,161,918,755,839,004,
171,085,312,496,559,683,935,322,382,248,584,696,221,435,585,664,188,884,416,
031,971,424,766,226,922,466,644,556,549,930,459,105,340,858,716,879,536,664,
826,218,286,349,464,407,777,191,545,690,822,351,379,183,926,027,456,541,975,
362,455,315,662,218,194,444,586,401,580,450,219,127,108,100,027,011,713,436,
055,577,132,786,537,452,310,053,142,550,853,891,015,841,287,054,509,138,935,
799,232,206,737,349,079,901,244,619,107,865,139,621,644,374,472,704,050,710,
055,595,805,140,007,511,360,260,628,279,120,330,965,920,366,644,314,824,857,
334,680,807,223,411,386,097,927,923,512,989,483,291,740,437,799,188,756,996,
096,414,203,918,747,363,927,750,296,260,870,532,771,536,012,552,751,326,878,
130,568,888,464,335,955,869,142,032,548,062,943,352,795,290,400,773,594,187,
945,260,354,350,386,320,564,518,723,480,584,402,127,939,998,050,306,596,171,
985,610,162,301,100,591,387,232,711,469,157,365,485,213,424,097,629,618,596,
748,874,766,578,206,102,688,693,344,268,092,250,850,495,392,417,350,057,791,
751,635,125,520,965,562,922,545,161,891,195,232,116,879,136,248,347,140,447,
095,670,046,807,084,676,027,792,122,446,686,030,849,139,093,207,325,086,608,
698,943,342,200,797,308,695,688,952,108,661,531,910,801,852,774,327,320,690,
074,332,262,454,754,940,653,523,058,672,408,112,838,931,294,716,867,872,715,
266,862,528,084,072,500,141,924,500,731,944,881,561,670,809,434,136,388,827,
250,523,615,199,591,350,458,976,212,049,267,100,946,434,512,694,138,927,171,
378,156,790,987,894,334,415,168,123,192,855,989,775,076,400,652,330,006,130,
469,014,840,257,025,591,778,067,144,956,740,982,440,623,616,670,948,042,706,
734,326,145,199,481,895,224,827,763,413,250,762,283,726,253,938,995,342,305,
125,044,630,145,557,302,453,298,767,225,532,153,171,063,657,627,816,127,846,
852,173,448,056,977,592,693,917,368,808,891,837,637,450,964,105,485,651,362,
302,130,110,230,564,282,099,169,096,443,769,481,406,030,664,925,640,618,228,
933,251,160,313,144,089,001,543,223,003,603,706,410,336,504,327,258,965,642,
272,499,441,218,590,247,350,718,078,144,754,656,297,755,942,705,335,108,207,
033,094,507,956,782,844,560,363,188,640,439,008,786,259,419,937,453,397,543,
899,347,528,318,610,795,172,151,919,097,399,533,142,813,179,796,143,446,966,
967,731,847,304,362,117,999,343,453,147,656,258,543,537,107,368,560,045,899,
632,521,728,961,069,540,937,043,676,942,846,067,517,273,702,845,698,034,285,
532,815,756,497,447,363,393,701,188,210,764,250,975,999,369,463,289,626,365,
198,640,851,538,894,341,461,037,672,702,091,130,264,253,398,533,952,030,649,
177,632,713,571,111,673,965,506,450,316,418,538,931,421,273,577,227,989,509,
048,803,000,927,693,519,248,509,891,504,375,936,003,684,886,811,050,172,378,
464,739,495,524,079,399,155,192,367,355,958,887,944,849,992,076,541,528,366,
164,279,909,280,708,834,512,969,153,416,655,861,609,413,905,737,164,371,331,
784,840,524,060,092,062,229,442,732,973,040,335,720,458,837,629,280,003,412,
293,050,045,710,443,960,615,213,424,570,844,766,974,484,510,711,319,244,656,
451,635,314,753,216,369,360,482,718,979,835,316,238,639,782,949,196,351,064,
679,744,442,059,653,718,796,882,899,043,822,197,945,301,005,254,170,249,599,
768,205,827,138,705,447,548,317,315,667,348,753,838,231,795,571,156,362,605,
141,047,739,765,051,122,969,377,409,561,469,379,120,526,093,424,529,794,713,
058,701,987,872,982,667,489,443,930,409,030,475,159,116,755,122,801,379,030,
126,177,352,296,414,057,814,150,285,229,095,481,128,007,242,036,000,145,613,
972,294,115,260,133,635,549,373,459,955,998,793,898,707,508,212,328,182,368,
602,170,064,062,052,966,045,218,321,574,801,078,010,004,979,322,260,089,747,
438,842,531,594,470,582,744,593,941,036,784,174,084,511,785,034,162,944,140,
726,997,228,077,519,508,109,858,390,593,156,395,295,939,105,233,426,099,860,
881,537,198,205,001,794,410,460,998,863,348,042,762,132,836,762,540,533,131,
267,893,156,396,438,120,327,570,120,565,227,759,455,093,316,366,679,654,531,
561,257,333,969,273,283,916,229,752,245,168,588,844,791,722,715,513,378,115,
752,722,354,758,799,604,046,281,559,260,423,216,015,303,295,715,569,365,566,
141,395,469,841,661,910,021,908,395,072,588,923,854,855,224,514,270,624,899,
866,280,849,707,092,607,733,624,286,013,330,128,101,289,544,138,433,207,655,
118,572,283,814,674,840,192,546,901,032,563,161,664,942,392,144,868,760,329,
958,501,095,556,338,311,398,416,637,533,354,031,089,122,486,276,710,448,455,
219,168,216,948,287,010,990,053,153,943,522,977,427,041,818,148,059,065,398,
091,018,240,213,854,230,984,664,127,532,690,962,556,997,770,597,496,341,146,
871,966,964,304,621,341,035,262,165,595,434,922,104,201,890,139,994,823,838,
691,605,840,796,600,890,867,524,758,927,323,191,556,635,537,403,876,655,601,
863,363,536,722,457,624,301,182,764,418,336,120,032,833,129,821,384,172,801,
003,334,189,026,038,797,317,825,885,781,845,148,554,251,721,367,299,376,932,
337,523,159,023,280,324,043,596,577,346,123,400,901,997,268,197,548,529,938,
621,222,262,866,009,264,181,225,465,468,841,262,268,898,992,347,560,381,942,
464,960,346,167,818,955,647,240,568,599,049,459,116,398,713,171,199,221,701,
613,823,502,309,471,989,313,658,873,514,681,139,518,187,229,289,472,484,736,
223,816,845,286,858,048,123,441,702,476,639,029,082,879,978,706,871,875,818,
436,754,675,313,956,179,576,593,185,516,218,189,483,794,255,249,738,119,689,
942,594,628,534,395,725,743,520,927,070,104,357,756,941,098,740,848,569,973,
922,047,004,254,206,036,562,194,635,620,561,410,852,975,533,079,039,608,729,
580,735,613,831,267,528,534,554,421,957,069,868,639,465,912,840,383,006,177,
496,942,038,778,200,872,148,929,609,045,249,486,005,663,781,052,494,492,584,
796,273,927,510,746,791,911,817,889,068,358,767,857,985,587,554,765,708,093,
427,139,447,574,118,044,106,139,281,775,718,904,671,542,575,618,799,416,167,
435,292,007,048,553,315,240,903,626,349,544,283,097,691,192,169,230,737,765,
075,526,594,782,758,416,260,733,233,828,964,762,616,760,678,134,711,655,706,
559,257,959,683,894,633,451,693,804,272,324,541,066,692,355,067,387,858,547,
960,168,945,171,212,227,734,622,089,665,616,382,883,872,632,079,898,651,387,
928,233,036,175,431,462,436,217,341,578,637,240,184,355,034,824,387,251,807,
095,796,392,221,529,554,537,952,211,013,372,625,015,803,126,464,419,323,600,
844,153,255,450,502,403,643,542,775,690,257,351,261,490,704,171,996,318,494,
076,356,065,651,201,140,531,967,054,686,365,141,070,373,173,720,527,285,793,
623,375,321,083,798,640,997,572,898,376,066,628,531,756,807,640,752,727,222,
068,163,498,232,668,425,508,928,713,041,280,110,638,388,661,571,444,767,435,
669,341,832,976,624,063,222,876,839,731,901,642,425,356,662,944,597,463,676,
893,947,776,077,833,677,344,971,047,711,571,351,369,324,407,651,630,058,575,
637,724,645,189,657,639,180,253,524,403,458,966,055,222,504,860,067,711,627,
290,713,569,061,460,215,896,863,234,579,382,538,104,440,672,288,759,407,197,
004,361,574,949,767,495,817,226,216,063,395,498,214,935,696,925,994,156,345,
373,621,382,840,887,224,865,774,352,734,009,287,885,249,852,047,776,033,565,
957,770,836,340,160,767,328,226,686,980,003,838,549,239,182,939,892,439,226,
818,480,075,561,457,355,714,629,386,396,644,109,385,789,339,999,858,591,607,
574,286,860,988,648,731,337,404,604,073,710,037,916,074,104,590,761,661,085,
404,832,627,507,961,641,030,879,954,012,780,150,301,406,861,653,754,231,418,
411,704,825,424,612,816,077,725,869,741,355,649,637,348,488,131,253,798,242,
703,486,065,199,105,019,245,988,577,950,994,446,076,102,305,004,651,899,093,
174,425,439,444,560,070,377,650,763,703,095,897,398,204,001,497,602,972,532,
727,590,276,707,501,510,784,239,456,686,216,955,215,485,818,875,150,053,394,
932,427,248,189,774,965,980,764,972,767,956,147,561,288,382,554,519,272,192,
497,924,768,112,744,304,351,624,196,991,423,669,904,879,002,676,337,058,149,
742,577,146,491,964,268,208,330,926,143,302,668,265,180,571,432,688,212,184,
198,228,118,128,577,305,903,951,242,420,295,243,897,363,355,984,459,064,927,
881,595,356,210,173,991,374,374,452,658,530,130,121,358,497,432,291,975,107,
729,867,881,050,130,038,642,318,475,207,560,977,236,434,831,968,703,643,543,
914,698,261,648,663,568,704,356,918,785,773,612,541,958,249,078,377,375,971,
271,295,145,409,960,159,672,980,558,129,464,760,594,278,345,710,465,651,326,
993,133,783,349,813,720,266,856,318,321,879,627,285,122,114,208,964,351,221,
827,466,915,038,997,842,869,945,845,921,398,182,800,541,296,852,638,672,543,
428,800,594,453,795,544,293,154,418,554,448,322,246,295,417,524,953,813,069,
382,220,764,878,579,235,863,451,711,664,585,667,620,138,150,325,586,225,968,
782,839,746,134,953,480,673,604,005,119,099,038,015,446,925,145,766,715,963,
613,284,691,330,590,006,469,320,088,667,985,900,149,915,163,520,091,529,520,
966,523,829,248,394,279,260,621,818,067,025,166,550,268,384,548,420,060,844,
293,763,881,002,591,977,935,236,971,480,038,016,124,882,861,391,425,108,427,
070,987,829,694,354,939,065,038,549,797,821,571,289,458,271,644,361,796,002,
017,770,316,127,856,270,063,973,312,556,292,012,830,698,323,133,142,084,109,
249,227,698,328,901,093,520,281,301,453,794,909,635,035,305,063,701,612,955,
004,116,108,639,202,455,608,328,821,246,323,681,149,484,082,730,186,001,915,
362,332,129,674,244,136,444,519,505,755,129,547,115,269,439,592,686,304,720,
301,866,169,161,313,746,926,436,143,010,451,555,276,502,923,504,266,272,847,
569,400,728,748,800,298,106,244,139,387,291,154,051,662,075,746,883,558,129,
617,855,102,174,127,988,404,616,217,700,158,459,732,527,015,168,828,239,098,
595,557,098,601,525,476,449,459,269,993,114,813,266,748,242,440,404,440,939,
762,032,002,442,385,705,993,574,183,970,686,757,217,271,971,811,575,516,167,
307,181,630,175,571,196,396,913,191,532,975,644,909,972,573,282,247,820,746,
673,482,520,421,680,328,414,884,600,935,198,464,173,091,810,571,892,861,247,
246,310,976,145,823,681,082,662,324,708,731,122,027,656,500,270,996,685,593,
375,165,586,351,087,631,681,753,970,774,325,672,643,748,228,562,283,558,573,
513,544,368,399,715,303,130,936,583,692,703,006,334,259,523,356,331,727,222,
160,705,839,191,427,548,230,715,105,769,994,895,896,565,055,254,561,742,124,
884,850,396,209,052,027,134,759,235,723,721,587,443,307,647,653,295,146,569,
740,071,402,542,287,840,420,185,950,546,211,183,403,740,881,956,667,010,426,
679,103,404,441,364,196,551,205,130,118,964,402,069,396,842,870,781,800,464,
340,553,189,220,125,895,792,708,615,838,623,719,897,115,466,546,770,703,402,
477,155,484,012,715,470,174,999,003,109,293,079,468,086,675,365,342,165,142,
056,900,547,844,663,961,664,495,768,195,893,650,262,220,729,556,480,835,444,
110,231,845,704,274,893,545,514,682,054,093,263,272,265,009,988,019,692,274,
377,457,696,412,479,543,225,710,858,002,319,139,307,251,156,739,069,364,846,
177,857,026,843,244,574,192,784,604,666,271,893,922,013,744,722,177,077,748,
507,733,577,792,228,681,120,929,807,862,232,315,567,820,261,434,893,366,630,
751,426,174,026,182,239,178,859,561,038,931,265,305,968,429,606,269,280,024,
743,360,839,401,084,528,060,984,664,787,678,997,772,719,987,528,155,306,785,
219,606,901,082,389,242,711,771,019,611,840,135,605,769,628,994,827,739,706,
438,532,986,917,187,570,027,415,835,029,457,768,027,161,476,548,443,257,666,
989,607,011,240,542,498,853,884,746,704,220,306,003,678,687,916,646,206,102,
275,403,262,202,397,171,602,315,093,390,503,366,201,925,428,160,125,148,672,
788,070,844,442,987,578,030,387,249,890,881,364,631,875,564,688,668,858,182,
515,645,786,641,577,278,587,230,150,284,652,501,164,969,174,020,599,593,393,
426,483,807,063,243,890,385,058,251,235,825,797,354,493,931,644,650,512,393,
898,836,941,275,596,945,166,336,012,990,856,830,317,726,102,302,035,337,493,
426,437,654,176,449,186,302,167,537,915,718,275,899,543,549,539,021,295,073,
398,287,571,943,920,316,853,789,271,121,911,216,610,624,582,865,933,142,225,
515,639,815,347,546,984,354,125,950,334,696,368,440,599,644,915,094,022,228,
194,585,333,214,997,218,214,877,840,962,090,118,008,498,122,168,095,766,944,
961,879,540,215,094,189,286,349,347,133,883,368,974,688,584,814,749,607,776,
340,462,135,305,996,609,153,830,225,405,902,324,512,687,260,649,786,727,044,
605,281,233,166,835,090,772,117,163,129,706,391,947,713,061,929,331,454,447,
745,774,242,778,671,623,705,662,123,641,161,718,575,489,163,239,759,788,483,
031,841,225,268,266,066,186,099,026,919,236,936,263,365,872,882,723,150,995,
755,972,340,284,073,916,036,390,769,539,292,933,124,256,569,069,536,280,931,
575,040,747,750,603,694,506,751,717,432,194,798,910,281,125,740,220,610,815,
317,392,350,043,420,143,783,822,823,551,137,194,394,766,975,381,282,511,871,
208,933,364,381,459,009,524,219,091,316,398,646,432,921,204,549,898,521,956,
011,282,400,129,007,083,498,980,319,536,315,450,017,367,666,507,377,387,572,
322,378,445,555,827,014,609,870,848,359,889,854,065,675,556,865,173,092,485,
771,103,122,966,610,171,491,143,543,308,050,854,598,303,619,520,214,401,678,
781,575,092,542,807,370,970,070,770,011,899,780,460,053,432,413,057,023,589,
311,336,761,188,965,838,566,802,489,312,386,247,761,006,671,858,315,337,024,
790,146,465,782,695,073,121,468,996,010,206,124,907,332,714,471,845,049,219,
327,843,561,737,379,421,330,156,563,151,182,540,572,399,202,925,090,031,525,
395,808,968,901,812,725,823,012,471,751,327,288,359,232,926,189,718,773,516,
498,728,404,742,787,292,087,163,751,213,867,550,140,923,399,340,679,788,407,
132,473,174,307,329,309,524,190,090,830,874,913,503,538,115,018,281,868,681,
831,718,432,102,735,616,565,415,376,668,564,972,376,468,104,119,852,948,196,
043,502,562,596,285,083,427,309,412,569,216,630,640,230,660,717,544,077,484,
705,709,381,904,362,996,888,423,492,452,527,584,443,168,956,791,531,438,834,
267,765,918,281,398,934,446,274,820,820,137,862,158,049,289,519,219,530,489,
189,759,901,009,630,571,512,074,073,032,529,972,663,824,835,392,834,182,144,
031,504,258,174,442,370,945,198,841,299,668,509,220,383,716,644,996,737,457,
256,622,115,293,764,275,937,154,645,901,526,272,253,981,889,870,295,521,470,
689,663,840,671,766,097,441,117,294,966,382,519,223,789,344,902,843,132,878,
662,869,887,102,571,654,273,316,693,787,100,126,033,144,330,863,366,192,266,
077,959,754,430,431,371,807,007,538,367,029,676,749,196,641,010,390,466,499,
307,062,938,648,580,208,418,268,583,177,512,794,842,300,204,138,440,401,659,
134,828,020,918,709,749,074,317,878,517,421,260,310,836,044,471,737,462,340,
993,216,415,238,588,859,042,958,204,002,453,795,854,486,707,099,480,727,805,
118,435,186,316,433,671,119,591,020,930,006,285,403,480,011,725,481,190,099,
864,020,891,863,925,969,502,481,456,781,980,608,738,400,290,671,570,513,004,
505,311,751,317,966,611,990,950,267,487,246,610,016,201,321,757,808,343,056,
982,695,458,029,683,646,361,561,634,585,896,447,086,038,907,626,871,158,416,
680,819,757,891,831,812,843,482,522,676,547,958,919,461,454,112,722,674,783,
017,921,410,809,535,783,467,762,597,948,719,695,967,797,454,976,250,869,153,
196,368,010,844,626,924,052,098,022,646,953,712,423,110,794,416,476,529,023,
370,553,278,919,184,511,611,474,302,643,270,543,415,868,547,231,470,260,387,
385,932,797,194,819,272,496,004,992,501,288,177,291,009,316,707,048,548,953,
829,565,300,110,447,466,317,395,477,346,367,118,991,337,686,141,577,433,727,
140,961,563,130,719,523,983,043,883,051,684,892,678,884,485,175,413,875,466,
033,916,834,495,581,315,769,453,903,779,868,565,463,364,225,269,969,334,557,
445,452,260,066,279,822,184,899,888,950,343,323,001,249,527,538,247,098,544,
044,968,121,094,743,677,274,201,074,121,603,446,819,052,041,711,570,477,592,
146,959,458,873,082,655,282,972,798,638,945,124,747,190,513,404,191,751,507,
766,593,146,010,315,258,028,062,924,662,263,744,746,466,330,700,125,727,176,
749,130,024,064,730,286,988,325,471,067,115,290,480,572,690,078,828,637,906,
445,908,140,435,018,329,970,418,165,815,628,261,460,918,096,017,152,258,776,
913,940,634,238,803,349,711,534,098,359,301,452,583,038,537,983,527,446,160,
198,568,181,832,057,643,821,544,706,952,097,004,363,144,090,780,815,295,345,
192,838,430,210,218,836,816,165,341,017,317,995,795,914,890,013,577,342,106,
868,879,327,162,302,396,972,691,149,855,992,305,746,834,675,275,631,656,241,
271,544,013,264,500,436,638,926,070,272,327,050,526,179,833,473,106,151,181,
948,765,284,028,618,907,305,120,538,280,732,819,171,022,356,303,264,302,200,
856,577,885,808,088,965,803,373,834,546,522,389,559,008,470,891,920,839,513,
554,255,051,765,677,355,061,035,623,059,957,227,551,041,868,659,980,250,309,
636,291,705,240,432,741,687,331,578,433,484,479,844,271,662,256,757,535,572,
899,302,632,219,593,516,953,657,279,807,064,602,681,599,499,837,043,162,246,
684,715,534,601,901,806,122,294,139,480,258,603,647,702,668,713,961,763,082,
364,771,971,976,740,401,081,103,209,432,239,161,733,938,356,553,390,634,294,
718,077,748,486,410,380,358,521,101,684,570,800,975,918,982,092,112,726,696,
499,016,793,619,071,502,466,847,734,367,003,887,307,698,059,698,527,936,566,
224,373,075,138,404,973,778,815,687,841,220,966,209,847,522,639,411,749,505,
408,557,933,925,522,710,172,312,666,972,976,789,033,248,616,416,308,049,342,
307,999,007,688,959,415,475,047,366,198,643,303,693,802,469,602,349,872,316,
045,796,617,678,592,842,309,869,569,987,975,295,159,822,587,455,162,287,167,
929,409,492,020,062,039,057,366,312,178,957,838,699,185,640,659,437,713,384,
422,807,798,525,276,317,235,580,035,807,861,307,502,036,297,648,524,198,790,
426,023,684,328,431,236,865,868,760,759,638,430,928,139,778,173,453,569,296,
880,053,070,062,217,773,176,232,822,924,221,348,383,972,684,367,358,617,511,
286,623,772,360,600,001,516,845,740,432,763,178,802,674,324,825,402,092,594,
264,484,060,811,824,660,618,706,085,384,760,863,520,605,366,934,296,887,603,
240,691,196,176,093,573,245,548,418,146,667,894,744,103,078,172,168,911,461,
582,361,697,871,450,193,091,542,004,871,673,027,128,833,885,535,592,031,920,
162,954,168,908,051,920,268,231,304,939,067,378,983,228,031,579,666,107,042,
427,887,487,213,102,722,813,631,586,632,739,297,094,166,154,534,965,394,587,
276,343,681,189,142,148,898,071,790,291,996,069,635,902,261,879,457,216,114,
445,625,352,089,684,521,918,356,893,945,910,284,141,777,346,926,673,093,246,
094,853,219,380,343,851,668,959,818,979,459,366,867,136,140,986,937,627,448,
520,195,677,729,976,893,575,771,415,911,907,802,423,701,838,518,179,691,085,
298,138,780,521,619,315,393,008,483,006,412,448,476,605,158,895,043,843,777,
234,153,259,467,461,694,408,187,804,659,069,807,740,988,334,822,042,621,838,
002,667,067,019,603,398,513,107,380,940,286,984,200,382,549,010,600,834,561,
802,136,640,112,870,549,981,081,099,846,241,241,423,603,363,846,893,432,043,
713,631,552,687,422,927,565,051,342,618,477,680,574,690,176,223,737,082,313,
426,841,291,857,963,075,638,073,130,057,549,258,520,395,960,562,154,056,130,
341,578,517,073,930,670,222,370,306,431,966,856,044,621,711,575,203,990,187,
827,584,241,433,317,001,554,594,276,072,529,135,267,805,574,717,773,735,989,
855,469,264,105,417,885,316,454,259,924,785,123,873,427,848,550,421,707,303,
508,377,506,763,651,495,361,476,974,826,499,282,376,506,449,371,350,143,101,
351,072,785,773,015,572,402,606,173,296,704,318,636,762,387,118,441,999,695,
882,724,766,995,918,155,140,819,956,339,418,289,244,514,378,514,458,777,763,
448,510,409,114,299,240,777,913,124,359,613,352,384,271,946,872,611,083,099,
559,415,102,157,439,451,338,706,123,497,144,023,512,522,271,821,980,986,580,
869,016,711,031,802,322,472,730,803,245,991,088,837,313,505,112,678,425,149,
103,375,927,146,861,554,586,279,154,113,548,164,189,559,062,527,762,853,316,
574,126,068,857,743,279,111,354,097,282,178,257,032,504,233,938,977,962,556,
375,514,405,830,414,690,863,456,401,194,865,049,822,661,728,547,200,611,644,
220,497,398,725,627,308,210,957,415,031,023,794,771,316,943,068,992,333,646,
736,632,830,157,223,043,904,074,637,896,651,320,727,710,531,341,020,091,014,
036,606,406,088,209,937,651,247,128,106,447,607,893,953,356,097,599,198,918,
212,425,760,971,642,288,063,514,530,825,511,480,868,780,175,663,429,426,097,
314,919,715,238,190,800,800,545,658,120,954,405,848,597,869,780,742,328,680,
436,067,265,718,159,963,540,785,191,720,066,571,660,298,527,302,134,476,912,
107,098,217,275,213,758,883,149,875,891,825,038,136,620,136,405,970,246,277,
002,709,027,366,965,963,788,079,928,114,961,176,216,388,265,107,529,474,159,
332,220,448,338,452,561,698,877,694,260,047,740,289,748,216,987,516,080,236,
538,498,109,390,720,748,357,888,061,420,351,808,133,683,309,961,782,281,888,
470,024,239,719,543,742,149,402,451,788,903,798,958,779,281,267,382,524,491,
880,400,016,379,061,589,913,228,884,768,164,130,497,526,608,723,148,832,601,
124,706,122,527,980,671,680,559,929,010,361,076,168,052,338,903,267,707,195,
221,841,781,034,795,885,196,838,154,478,829,897,264,357,142,438,786,769,033,
291,195,560,504,758,515,596,551,959,694,688,454,449,645,733,290,131,025,878,
533,972,201,427,929,522,550,211,620,498,831,437,935,017,519,196,280,857,078,
710,497,496,597,984,705,910,868,318,477,639,644,245,150,138,696,714,806,072,
706,659,081,077,721,626,398,093,656,851,326,621,772,969,393,481,396,607,650,
352,223,527,549,529,117,417,730,773,791,478,856,663,111,055,857,891,560,217,
385,833,941,703,787,323,024,849,420,371,475,103,561,891,883,970,340,729,258,
236,012,186,800,263,524,670,110,232,732,888,925,439,379,745,845,895,508,040,
118,999,853,239,458,010,395,931,125,377,309,143,534,602,491,409,529,130,830,
314,572,454,216,477,831,100,289,873,850,532,027,479,738,477,016,993,675,761,
893,619,224,882,664,854,166,314,668,071,006,808,300,052,267,595,918,215,426,
824,483,824,006,364,011,507,346,209,675,570,077,645,235,359,779,166,066,640,
586,149,669,955,118,405,950,223,359,386,003,785,678,981,154,989,030,949,501,
112,663,978,488,272,411,829,450,280,011,433,649,189,829,411,384,612,511,578,
572,691,815,763,311,837,206,166,684,705,301,196,756,378,751,049,449,976,624,
002,843,641,178,140,715,993,253,405,064,888,207,962,331,286,933,711,526,495,
160,122,456,472,073,009,024,394,790,502,616,924,067,783,888,897,547,329,552,
386,145,722,061,968,670,385,630,042,468,705,916,070,915,391,164,652,164,234,
572,739,342,514,668,614,286,026,728,043,646,214,195,670,518,715,860,054,705,
182,466,978,550,056,709,201,145,195,335,839,820,298,926,927,167,534,907,097,
324,551,349,619,388,561,842,801,147,889,397,146,414,792,589,971,474,501,641,
191,386,345,684,545,109,011,110,348,994,023,526,653,147,399,915,458,547,419,
717,890,964,403,363,129,739,973,435,364,080,774,223,910,285,992,573,756,629,
835,127,737,074,986,253,747,521,803,818,507,848,513,648,089,544,140,805,870,
818,275,381,478,089,416,041,032,567,912,171,468,092,420,092,680,052,673,579,
174,789,629,701,301,843,541,896,866,033,298,541,161,671,228,562,401,557,235,
492,182,026,210,492,798,219,347,011,514,570,199,288,707,429,609,398,847,304,
232,711,409,913,397,448,880,776,253,981,929,381,330,596,016,702,123,544,476,
795,918,884,759,337,195,144,057,132,959,756,940,509,270,134,734,097,220,737,
316,932,214,744,059,116,296,232,307,929,248,455,848,990,189,213,853,790,020,
217,782,384,448,079,683,019,623,569,861,064,473,132,947,226,062,559,697,042,
858,581,119,361,800,287,886,905,859,390,251,392,965,749,640,717,802,524,745,
845,982,768,617,557,830,523,124,445,699,515,388,130,935,145,204,900,952,526,
654,745,478,117,098,583,562,527,965,861,393,120,411,408,610,342,408,461,715,
894,071,943,387,340,335,040,681,702,029,508,780,906,548,709,787,956,918,850,
953,994,309,027,263,480,200,383,967,974,802,059,759,603,939,805,930,798,265,
115,029,393,537,479,900,632,720,965,729,063,386,206,003,754,710,885,138,407,
605,755,933,061,046,753,201,857,294,752,741,009,269,494,816,703,254,913,313,
504,649,497,278,231,036,995,057,388,907,632,547,142,620,031,317,157,902,835,
772,611,981,785,092,880,714,177,506,633,401,110,486,737,947,874,784,685,212,
295,643,790,290,354,533,808,033,110,054,392,892,411,112,004,914,536,108,912,
841,288,281,025,729,001,753,369,116,859,039,779,160,568,659,242,482,124,571,
048,318,917,459,909,743,171,548,332,064,782,931,940,290,144,072,498,911,059,
447,659,578,929,536,141,798,899,337,116,039,247,547,094,432,868,958,931,773,
373,534,293,818,209,612,667,274,098,105,837,985,757,557,686,383,730,483,602,
877,337,959,981,107,320,315,540,111,336,715,336,114,320,077,906,418,472,263,
571,511,120,723,131,726,851,090,443,834,435,352,708,799,503,398,646,066,096,
687,227,982,133,880,182,236,944,031,307,931,017,259,868,743,812,250,335,826,
385,390,390,837,812,573,365,036,569,984,804,114,961,052,075,053,827,564,081,
817,500,352,812,914,678,184,202,384,567,888,773,868,627,676,265,797,518,419,
177,158,033,070,825,792,939,769,604,842,637,593,570,709,449,765,592,592,532,
919,933,965,382,419,922,492,146,329,257,941,970,752,632,937,598,802,609,339,
410,294,013,252,975,995,017,373,362,838,266,356,395,417,159,180,350,430,958,
203,114,288,963,772,744,737,308,853,737,158,483,545,699,894,409,824,906,370,
214,052,090,398,247,333,576,343,461,488,464,887,270,624,649,301,424,067,634,
295,694,015,816,707,412,278,152,050,860,037,006,163,764,136,793,545,657,479,
733,273,628,754,490,743,402,512,604,607,229,784,144,282,050,314,487,451,506,
178,078,009,849,004,099,548,219,952,082,630,417,585,635,231,413,076,840,744,
735,063,596,273,148,130,521,956,879,611,028,986,973,106,198,436,643,317,147,
848,850,823,511,591,169,234,070,173,698,482,106,908,795,337,105,595,764,191,
176,634,550,925,657,362,769,918,724,278,589,519,521,698,241,049,373,214,868,
300,004,824,231,653,631,107,576,740,300,590,907,776,992,095,225,927,389,293,
916,124,053,922,808,522,692,371,000,356,318,472,268,432,791,349,144,167,947,
322,080,260,958,681,989,074,258,520,234,658,182,835,986,859,589,906,105,973,
322,903,458,278,597,149,061,239,813,108,977,236,308,113,894,281,748,455,789,
104,284,174,148,481,595,421,985,633,393,443,471,386,234,005,802,278,253,452,
035,864,408,100,486,905,885,397,034,229,631,023,355,715,507,600,720,995,175,
327,424,536,175,186,132,594,757,460,622,612,081,731,568,962,400,963,498,223,
202,924,075,928,504,869,238,086,164,635,264,289,151,963,947,897,148,729,425,
879,895,253,604,738,533,198,100,465,390,475,414,363,955,966,465,680,839,106,
653,883,179,639,540,767,583,764,637,920,851,335,543,977,508,718,309,722,477,
918,770,651,769,596,780,708,074,446,762,934,232,391,743,657,562,735,395,437,
314,806,990,462,966,693,157,518,612,884,781,708,111,633,834,553,568,418,754,
044,661,981,762,851,402,075,162,200,567,363,530,734,487,863,919,008,072,454,
416,984,940,888,408,112,236,431,247,976,329,281,696,974,733,586,107,050,174,
065,605,761,711,085,870,308,552,640,438,660,952,568,957,370,747,619,618,788,
170,921,841,396,016,803,044,374,134,602,906,618,105,512,691,535,296,294,707,
459,817,423,641,893,553,615,887,686,338,259,540,316,260,404,902,191,622,179,
239,623,948,849,625,816,564,917,107,271,345,093,357,806,007,715,313,571,149,
467,927,239,397,922,445,428,171,523,897,474,012,861,482,899,373,392,697,493,
698,924,827,969,368,547,397,574,184,207,275,275,580,020,188,424,283,717,563,
774,235,432,346,534,491,894,584,091,791,825,782,789,551,753,160,986,665,237,
954,983,633,454,677,174,684,025,777,658,401,620,589,551,250,075,193,358,610,
922,389,818,614,542,056,684,676,189,530,134,727,112,333,258,870,896,650,340,
559,105,947,378,179,716,061,114,835,712,333,500,339,232,295,778,786,528,160,
613,562,356,301,589,334,130,240,650,274,910,070,285,419,533,752,274,850,175,
979,427,701,578,601,196,269,325,000,213,982,732,814,830,332,469,695,208,546,
376,910,229,389,734,254,991,920,473,426,949,968,700,456,423,247,136,394,906,
583,487,584,551,636,038,115,347,752,131,810,949,282,472,114,298,190,196,976,
822,074,778,941,362,638,355,172,447,114,110,786,011,269,404,703,768,727,154,
781,427,395,409,109,603,672,396,359,906,644,008,449,067,436,004,936,272,675,
758,460,554,810,588,033,217,920,913,623,912,124,832,341,503,375,479,604,046,
581,113,834,733,481,796,195,743,417,892,490,684,769,318,448,899,883,016,533,
370,557,177,584,831,422,364,688,229,205,037,966,137,447,043,616,533,284,280,
965,116,447,761,264,707,279,702,871,475,056,191,399,132,091,154,435,606,525,
619,560,829,685,308,298,885,557,278,846,630,986,289,332,853,880,755,052,785,
407,826,732,701,440,223,753,763,683,513,992,879,647,567,313,255,704,293,002,
639,739,053,873,658,271,403,676,504,919,823,297,606,120,028,318,767,611,791,
546,425,999,304,716,870,956,703,256,991,061,303,468,589,373,206,202,197,793,
007,656,988,075,730,660,790,624,940,535,061,434,766,001,054,379,639,176,102,
092,078,846,947,606,718,750,608,973,052,494,693,784,839,751,825,512,309,101,
129,102,812,449,119,845,017,563,538,232,306,100,789,816,657,470,946,975,734,
753,611,950,146,079,814,120,307,333,462,585,569,189,169,522,256,096,656,729,
449,668,768,182,956,855,722,044,259,630,729,462,576,790,336,558,030,492,813,
180,933,447,418,837,623,330,688,632,634,912,320,699,440,670,694,664,207,229,
305,630,854,169,288,034,393,333,802,539,253,520,039,944,952,719,305,234,740,
073,938,163,577,802,462,200,735,544,108,195,914,180,485,778,856,370,126,816,
845,071,928,873,414,420,214,997,345,086,975,840,616,067,683,171,291,814,615,
881,121,049,448,939,103,210,667,878,247,183,851,076,235,620,444,823,144,092,
533,794,995,900,833,286,973,010,421,279,099,101,736,437,668,090,206,875,173,
711,155,262,488,972,450,097,103,690,959,768,947,038,190,857,494,322,612,553,
313,797,491,772,918,853,158,286,086,003,121,613,949,659,165,021,777,813,148,
103,600,632,070,499,738,309,689,804,412,939,681,684,520,800,059,058,516,544,
642,892,080,364,381,204,781,512,692,774,859,071,154,682,304,964,947,377,999,
040,655,266,121,580,568,895,071,756,848,601,769,945,342,739,358,169,490,966,
838,906,735,607,581,886,474,924,861,619,824,570,503,899,028,822,381,718,115,
293,255,309,272,227,931,675,701,390,386,200,656,874,863,520,531,073,617,276,
910,018,440,415,482,705,655,721,132,391,149,576,663,261,964,047,459,536,696,
107,973,947,225,563,374,198,250,237,501,613,549,476,862,110,510,105,742,486,
897,347,257,295,931,304,145,870,208,689,600,487,103,832,494,113,928,071,091,
887,070,952,540,577,694,475,735,419,046,640,729,547,966,020,280,819,681,420,
791,685,068,505,472,873,701,289,677,810,141,786,382,098,985,064,871,240,793,
830,003,455,839,236,101,807,755,419,540,313,919,371,991,354,065,864,932,017,
839,364,586,069,131,118,973,562,729,869,438,359,755,182,163,363,394,041,567,
159,577,537,126,646,918,753,885,650,251,142,369,776,280,589,777,190,732,331,
300,006,170,032,155,458,654,039,046,960,865,213,143,021,389,267,948,087,895,
702,704,549,044,289,214,018,925,896,558,128,788,178,080,901,369,072,555,050,
088,089,051,970,166,815,658,267,901,161,008,656,824,615,702,696,449,563,622,
630,758,307,295,760,715,598,565,670,388,752,378,637,551,266,705,268,659,676,
102,668,037,660,644,102,497,582,114,468,540,029,873,790,762,694,252,825,606,
435,436,098,717,397,377,537,901,230,188,662,496,856,219,343,394,788,947,626,
798,576,106,342,112,253,967,341,532,901,815,106,858,727,407,735,530,111,911,
794,996,003,116,478,584,432,485,108,014,275,168,333,746,217,417,731,442,977,
284,422,289,265,934,873,315,769,708,153,157,817,356,341,099,344,652,437,406,
153,727,179,279,530,363,446,539,964,801,617,626,501,132,555,637,479,951,222,
339,678,587,748,377,806,289,149,959,808,168,913,934,884,991,202,108,569,597,
603,037,788,107,828,425,376,815,386,727,243,065,227,562,269,342,457,027,940,
637,629,104,812,046,351,551,661,159,789,172,891,839,367,051,590,264,399,828,
898,591,768,078,840,133,052,040,031,487,213,949,262,082,339,967,243,676,424,
221,816,964,588,538,271,981,780,609,958,552,585,621,377,318,311,672,367,845,
241,662,338,008,581,761,961,891,708,556,406,276,558,718,267,246,770,568,491,
461,085,057,953,704,909,179,869,524,499,949,158,414,750,141,211,492,366,414,
432,472,461,016,584,956,904,676,010,949,414,066,237,534,674,634,950,716,243,
806,975,869,058,332,689,809,985,021,211,821,631,067,721,125,162,713,179,999,
376,742,550,180,082,146,790,945,400,638,518,058,604,175,104,125,597,557,244,
354,530,015,871,385,246,689,606,410,457,131,739,490,681,986,958,326,735,656,
154,025,088,657,316,239,179,926,478,819,247,908,026,443,809,461,071,908,092,
141,836,730,759,530,381,907,618,163,700,808,311,738,349,617,210,658,795,137,
476,752,201,104,997,217,375,594,371,009,160,340,554,381,252,648,228,456,813,
890,599,895,919,369,804,766,456,340,532,673,608,900,483,426,327,377,308,909,
134,057,689,617,193,622,973,678,062,922,503,877,880,969,264,917,299,491,303,
332,330,434,773,476,686,087,525,741,222,141,522,298,303,168,647,488,107,294,
189,509,141,219,528,826,707,008,824,918,082,775,355,601,634,148,464,643,304,
467,462,518,299,249,069,038,840,472,065,803,674,426,127,118,381,529,922,495,
930,443,230,713,780,051,060,793,985,517,259,325,190,949,032,699,160,661,046,
379,476,810,032,348,895,629,993,380,813,625,457,741,140,913,366,848,623,801,
837,826,411,932,747,380,304,996,963,660,144,328,251,371,158,921,298,333,913,
254,238,484,778,782,264,516,965,679,596,743,668,749,985,726,440,203,393,985,
379,015,132,749,395,198,231,226,574,320,706,232,450,837,246,211,805,939,330,
808,659,449,217,887,886,694,614,226,099,386,972,720,501,986,670,017,910,092,
287,588,333,605,047,356,245,824,357,935,649,177,484,053,342,167,337,868,059,
630,438,896,084,003,602,113,111,173,843,464,673,544,902,177,892,187,151,721,
987,999,258,164,975,638,286,380,079,903,845,419,045,882,929,990,330,694,903,
878,786,351,366,563,377,029,258,910,692,793,448,932,639,055,973,142,008,125,
853,545,168,070,530,958,407,963,775,339,200,739,192,964,797,842,825,212,300,
886,089,102,847,090,013,448,187,658,256,071,366,550,548,533,099,120,667,249,
482,212,233,841,472,747,543,528,528,210,194,671,944,275,742,122,797,253,854,
009,425,652,071,631,373,779,962,291,665,315,131,792,801,146,092,927,856,336,
563,498,468,568,812,487,776,949,779,634,700,908,957,281,797,565,419,238,533,
147,021,906,990,985,127,449,949,745,196,423,201,884,995,687,695,029,007,240,
133,978,812,686,551,510,054,949,217,189,211,193,349,123,171,315,750,069,973,
012,931,913,128,253,704,456,134,208,153,397,383,927,225,518,776,267,035,323,
225,248,460,003,309,277,351,978,410,794,257,543,683,208,185,704,501,743,081,
389,319,557,160,543,069,074,339,591,107,207,991,941,591,490,563,932,247,020,
128,080,322,898,867,868,556,125,651,164,514,976,046,890,084,614,343,290,386,
638,598,971,919,281,000,535,936,227,698,306,417,890,221,950,591,562,593,739,
799,826,758,928,924,147,647,368,724,418,368,642,485,511,152,572,600,561,871,
926,932,849,692,797,252,133,357,547,394,428,206,106,859,209,059,067,221,448,
888,106,004,493,162,371,504,732,641,878,704,080,411,975,383,969,967,725,216,
243,148,292,446,329,416,521,141,846,010,221,032,927,243,682,557,567,269,647,
843,975,851,589,691,637,136,898,316,229,206,740,895,841,914,855,016,370,323,
034,026,038,612,853,562,612,707,068,663,275,057,677,846,957,798,028,074,417,
977,972,590,129,889,509,635,711,572,066,333,067,821,633,655,240,554,383,527,
864,196,678,470,680,092,853,356,657,847,105,136,238,958,240,502,726,195,072,
672,637,057,549,004,143,624,156,414,741,883,141,415,643,054,339,570,350,145,
063,757,429,847,329,320,926,295,787,064,149,052,873,672,353,413,012,642,012,
935,191,531,739,832,103,869,729,536,981,458,660,634,691,576,454,329,542,125,
938,731,814,840,505,191,155,210,577,804,890,672,082,346,413,791,942,918,556,
456,109,178,257,556,576,837,209,877,016,100,998,298,973,200,551,187,014,070,
591,860,099,528,999,012,453,259,775,333,112,773,206,897,663,076,304,366,057,
673,986,326,814,077,842,058,594,198,603,362,731,165,277,432,278,805,649,914,
782,409,577,438,597,812,203,654,235,712,958,910,587,495,170,406,409,709,229,
244,361,975,981,035,749,427,211,581,188,541,056,329,366,928,306,227,263,293,
736,581,817,677,886,158,614,709,228,893,692,568,772,123,756,210,456,082,307,
853,609,723,663,924,268,281,887,574,381,707,765,644,480,217,593,166,418,404,
469,203,378,991,331,753,866,198,398,347,741,701,048,013,085,933,184,570,494,
949,836,384,715,851,097,866,644,955,994,444,867,423,532,840,413,953,448,918,
629,088,893,934,526,523,939,662,649,572,966,516,681,283,992,425,501,774,124,
313,716,463,983,887,864,618,030,489,036,622,433,586,167,238,454,501,994,309,
501,635,669,851,751,597,427,359,856,972,532,648,766,512,468,108,682,938,124,
916,746,957,067,371,651,020,021,653,549,151,329,207,020,051,381,594,463,741,
102,926,311,508,023,576,652,621,011,086,230,353,777,978,634,760,211,057,875,
071,399,595,067,224,891,470,685,125,014,095,043,000,040,882,754,046,706,739,
132,804,568,375,828,549,570,889,632,416,838,177,965,348,111,588,582,852,265,
817,070,078,397,165,586,116,676,660,234,153,764,797,888,248,189,259,271,885,
032,213,584,586,008,521,103,091,862,768,291,526,357,413,541,587,421,698,389,
320,029,551,478,941,104,480,998,384,463,435,787,269,991,367,732,761,488,791,
110,382,351,681,215,260,362,589,475,871,862,832,252,272,863,185,494,421,567,
008,125,707,788,209,522,457,826,645,667,011,098,299,479,756,560,906,278,889,
989,355,802,968,624,621,362,686,702,546,824,042,495,358,077,486,486,920,281,
823,332,109,161,651,312,046,748,653,592,060,670,166,736,011,574,315,199,214,
967,474,564,019,827,245,810,773,540,584,482,535,863,994,044,496,864,275,332,
920,579,192,473,445,690,330,864,161,148,624,089,150,013,141,080,826,833,544,
993,843,649,063,260,414,039,212,567,719,605,823,739,351,911,663,657,837,371,
016,073,521,358,058,391,395,046,417,589,894,027,774,116,084,626,374,829,812,
169,934,415,417,147,618,316,048,202,650,606,217,481,434,991,985,973,365,499,
461,537,637,458,726,394,477,554,840,265,773,208,270,570,939,737,027,118,898,
177,374,280,005,843,394,829,123,408,439,504,067,726,483,607,498,106,816,723,
743,548,988,989,658,856,198,663,019,557,634,844,357,992,254,074,608,212,025,
609,607,143,562,990,505,584,662,913,002,151,813,558,784,297,262,168,076,791,
070,234,231,021,719,720,482,005,939,351,493,871,209,203,989,102,197,175,479,
921,939,509,566,012,395,303,933,617,393,736,330,595,616,636,115,247,673,557,
864,080,831,487,763,261,010,343,176,674,651,575,696,445,760,611,738,125,596,
347,896,789,276,780,957,640,591,754,841,199,460,220,375,215,714,327,075,631,
743,172,660,412,699,977,014,801,314,902,545,272,541,650,180,029,606,488,615,
956,904,124,556,806,678,930,414,284,955,018,136,521,159,177,243,231,917,704,
650,365,327,790,222,573,612,648,027,921,212,879,149,958,788,512,459,298,673,
125,644,562,518,536,835,604,402,098,758,080,704,563,648,429,901,273,164,080,
386,015,739,843,771,441,884,956,585,529,736,000,370,498,861,106,358,666,217,
374,138,395,263,174,709,171,344,653,484,015,305,027,915,003,784,476,858,229,
242,341,635,393,172,074,859,980,932,097,675,240,272,466,881,290,274,923,674,
321,848,983,091,170,089,653,958,891,317,225,099,931,642,842,732,322,102,177,
865,883,275,552,771,670,481,135,229,106,967,778,738,108,280,231,839,389,100,
692,871,987,010,304,591,899,032,156,295,402,622,640,059,826,400,683,343,225,
067,906,267,627,387,468,119,569,603,906,609,470,142,581,221,973,829,813,435,
176,724,758,926,063,032,558,227,765,906,654,726,697,453,977,048,990,441,041,
728,733,487,491,775,971,276,537,949,021,027,501,026,108,529,449,325,229,898,
199,329,443,328,374,447,739,239,111,780,804,906,122,567,012,798,182,032,829,
700,000,128,177,332,800,160,051,199,828,178,324,937,334,636,883,173,886,647,
723,047,476,526,246,335,241,685,162,340,850,167,259,090,719,725,440,407,091,
944,033,322,410,622,515,522,502,968,868,455,346,550,797,812,095,836,736,108,
750,051,288,509,004,806,669,274,174,097,791,669,046,472,849,065,912,548,246,
335,088,570,729,524,691,061,060,205,282,821,522,409,033,029,661,171,074,685,
200,191,783,418,793,181,118,265,279,266,903,064,241,501,574,612,404,597,876,
660,671,336,153,501,990,938,226,864,949,511,135,820,255,309,684,908,932,810,
463,414,051,427,820,128,021,997,201,848,333,835,773,505,774,278,225,157,061,
034,818,773,194,611,187,341,360,138,782,551,453,783,188,930,012,255,995,531,
834,230,338,391,811,718,427,660,459,202,536,795,663,241,534,246,904,015,171,
457,216,106,619,295,050,353,189,949,664,422,226,849,582,623,412,844,469,045,
428,622,394,097,226,548,096,821,619,853,561,999,034,853,246,265,193,176,660,
676,966,068,275,546,308,047,171,228,194,749,168,609,086,009,886,656,798,905,
442,351,000,968,529,260,580,447,374,631,786,642,069,698,885,018,934,461,236,
935,131,153,131,531,441,910,023,968,271,501,858,877,705,617,925,480,035,913,
717,887,561,448,536,798,785,923,375,216,792,960,108,172,641,818,940,337,964,
325,210,604,754,045,968,187,955,114,688,007,400,925,215,467,060,754,880,585,
240,718,831,168,821,247,951,824,258,475,453,886,124,828,747,135,808,993,110,
103,619,208,232,694,315,233,308,653,638,967,111,028,376,678,511,614,938,586,
261,231,260,525,999,565,077,007,157,607,347,229,322,637,418,209,141,176,032,
297,546,694,527,110,670,078,222,184,315,171,027,005,735,947,907,393,180,897,
303,215,462,291,626,988,567,778,692,592,765,248,282,344,078,727,482,343,135,
747,618,046,631,493,622,198,854,612,019,863,695,537,426,809,035,277,045,864,
919,572,772,305,840,871,947,009,783,639,853,189,987,005,551,495,735,088,946,
521,961,386,599,897,175,150,815,813,268,210,264,512,556,885,410,757,118,471,
690,585,618,467,772,392,003,539,580,378,063,251,479,506,275,934,928,207,890,
325,525,866,363,933,289,197,179,197,963,298,027,617,639,113,664,086,367,781,
226,407,431,360,910,308,744,777,421,792,498,676,576,620,118,380,573,708,278,
447,439,877,716,102,091,518,810,218,821,643,486,789,433,727,842,839,948,462,
253,232,636,144,329,510,836,128,696,747,120,669,709,423,817,090,183,960,512,
681,197,089,739,975,384,072,165,760,714,190,874,285,422,036,474,774,222,372,
359,151,098,844,245,692,322,823,361,260,748,289,004,895,036,260,273,945,172,
495,287,739,913,566,453,797,251,143,820,610,817,372,764,970,765,133,386,472,
416,194,510,468,940,570,634,026,107,004,678,892,688,200,847,564,385,618,766,
669,534,996,280,413,247,649,515,865,017,123,959,016,784,013,317,941,600,262,
541,580,039,631,333,285,164,320,824,631,749,730,836,283,660,649,858,294,104,
894,900,549,968,864,264,256,442,660,375,307,268,639,111,013,610,451,215,202,
555,108,050,580,027,073,631,258,021,700,054,041,371,335,802,073,032,739,035,
955,509,277,569,867,797,599,622,211,527,941,400,728,336,497,066,892,117,799,
253,521,599,526,750,671,054,485,269,548,080,869,855,576,112,912,672,505,689,
145,080,206,100,180,921,505,696,038,387,930,373,477,043,519,750,492,350,248,
774,831,250,382,584,761,545,844,215,713,226,746,333,305,452,215,769,153,735,
953,635,701,933,589,760,571,447,211,411,971,850,986,390,878,170,614,705,551,
705,329,856,927,269,547,503,007,887,319,641,028,713,519,618,677,322,027,058,
205,817,858,195,285,206,291,185,108,297,378,736,031,053,731,769,298,907,169,
165,549,115,404,997,273,893,050,695,528,869,701,279,234,339,984,541,997,869,
130,802,165,090,802,457,506,198,672,604,084,249,647,426,164,144,178,528,363,
164,623,230,187,948,506,027,360,653,510,343,676,452,672,066,732,071,087,104,
273,709,911,106,244,491,926,771,401,650,471,047,322,054,549,904,376,076,175,
774,747,845,192,200,414,285,497,430,520,182,450,564,989,281,234,490,294,170,
655,719,775,992,950,884,815,046,011,088,019,747,809,202,267,307,440,451,289,
913,922,762,304,983,145,378,202,128,691,121,617,763,414,823,560,245,181,678,
219,580,868,849,560,446,494,476,840,699,542,916,803,908,959,693,532,139,026,
611,658,341,440,288,487,417,579,996,838,931,446,355,041,588,869,356,978,783,
670,458,564,379,369,530,760,722,599,229,964,713,259,539,762,683,523,321,159,
250,255,785,908,518,226,936,923,185,116,132,755,367,341,404,522,036,792,176,
653,799,872,614,338,491,528,471,458,759,652,026,420,554,903,570,901,348,005,
792,536,537,199,151,622,048,174,579,786,548,545,943,741,086,120,435,278,450,
864,928,325,761,959,406,200,418,230,097,602,351,420,445,409,858,445,500,205,
784,021,601,054,912,619,010,612,570,415,981,054,607,044,444,215,978,716,851,
659,177,558,162,491,550,644,772,984,045,949,197,397,145,320,675,620,158,277,
526,070,600,161,958,808,245,346,159,517,573,603,145,252,554,648,062,438,758,
163,084,423,839,624,002,959,668,779,185,367,336,384,313,934,092,625,835,315,
881,393,419,788,742,537,587,564,241,139,104,152,463,969,259,945,758,219,477,
781,877,669,305,784,234,218,068,984,332,946,384,861,599,330,904,287,186,135,
447,295,717,885,993,501,000,852,718,406,173,117,942,352,756,976,263,395,420,
440,210,861,885,708,457,247,539,930,350,216,769,394,406,795,171,134,150,751,
182,997,824,803,278,241,477,304,926,638,346,906,569,689,205,500,575,673,098,
229,132,111,669,568,431,525,321,094,434,225,079,141,131,297,905,071,393,655,
336,308,206,251,344,889,543,217,698,538,736,155,799,095,843,938,454,534,969,
042,401,642,526,821,216,842,421,705,011,104,669,490,513,738,371,239,342,017,
467,303,481,557,930,672,925,385,072,986,198,238,058,682,883,246,853,739,099,
207,707,359,190,552,887,698,332,078,118,710,193,153,496,270,232,810,923,287,
279,077,302,125,406,370,314,254,332,131,755,264,529,052,036,129,767,421,511,
326,225,950,837,869,617,279,217,460,336,389,491,369,381,929,295,818,536,463,
320,004,611,879,897,353,426,556,077,469,587,521,109,986,841,202,485,360,665,
704,584,802,450,772,089,564,184,678,981,722,263,350,232,632,849,813,013,606,
062,639,936,333,213,645,169,562,836,273,078,230,427,628,468,629,061,013,194,
494,121,930,397,979,621,251,792,910,511,441,196,008,746,177,604,236,638,561,
427,483,103,828,736,639,445,642,617,705,991,165,085,539,151,073,530,297,164,
878,988,549,166,004,633,569,858,352,052,123,699,556,102,379,818,668,355,468,
672,870,240,920,168,231,442,507,315,373,159,314,031,312,061,722,824,014,364,
919,804,413,056,903,512,809,573,141,999,007,011,251,696,750,975,000,936,370,
147,450,939,159,050,026,837,888,219,159,526,389,929,284,479,073,443,780,010,
282,094,528,405,630,739,377,251,199,307,459,804,587,218,295,785,438,074,031,
421,281,487,223,555,187,164,013,946,062,841,585,935,658,714,210,427,929,842,
501,363,391,125,984,604,249,893,848,670,608,150,349,657,786,533,067,214,052,
181,164,566,386,857,842,470,085,263,082,547,250,729,932,230,996,422,037,150,
533,045,986,590,343,458,398,948,809,758,739,887,715,034,985,374,651,897,483,
736,050,800,685,547,397,474,407,047,660,293,022,359,675,963,656,841,499,780,
017,289,759,575,046,240,564,038,381,327,655,560,759,043,380,018,075,923,746,
497,916,277,678,953,687,309,206,883,502,176,386,316,935,585,744,719,521,072,
685,443,551,309,152,389,717,525,194,737,881,037,961,991,887,573,889,856,303,
668,698,247,190,271,933,643,716,569,612,403,834,236,629,704,608,013,230,690,
897,261,495,787,701,654,268,933,872,876,698,109,161,120,019,340,338,458,489,
300,595,796,580,327,171,100,084,431,760,399,311,783,752,864,223,226,603,034,
185,773,053,727,381,979,625,224,576,279,292,133,765,632,092,262,089,581,759,
434,210,408,133,228,873,583,800,969,037,794,373,311,666,923,506,928,086,671,
451,855,560,762,884,999,090,252,921,231,853,100,770,531,723,777,723,601,132,
221,315,394,266,788,206,130,070,096,805,909,641,978,310,868,953,051,392,393,
373,253,167,681,373,626,863,152,743,852,662,467,669,211,310,174,883,096,056,
086,323,181,988,157,967,778,909,979,215,911,941,943,972,291,149,863,046,420,
050,766,784,215,963,586,430,294,473,932,178,310,375,061,719,241,419,797,221,
812,836,430,765,887,078,058,733,480,068,320,017,603,462,043,649,883,231,371,
716,341,336,244,228,307,822,372,877,073,534,351,249,271,350,245,765,250,785,
882,763,110,587,554,175,957,626,525,785,235,094,453,358,847,764,080,685,389,
095,722,179,038,893,688,147,520,841,450,031,975,474,597,733,523,992,644,650,
721,019,629,062,979,267,038,732,224,586,237,521,754,830,107,353,774,440,750,
513,111,653,057,348,827,792,991,852,305,715,596,469,036,330,499,939,166,794,
249,756,226,191,572,470,302,646,989,110,083,188,120,260,706,795,156,992,145,
761,076,795,035,544,397,088,332,797,216,251,996,672,694,105,272,172,028,246,
207,638,481,901,565,929,329,344,204,916,555,905,816,318,285,632,463,568,294,
864,089,666,909,265,430,546,026,778,516,369,294,682,563,063,737,959,889,940,
514,471,142,370,419,400,124,402,048,120,584,843,288,132,869,044,844,730,859,
929,775,292,445,870,136,843,306,503,382,185,918,836,523,628,136,998,247,777,
433,796,041,111,703,317,115,441,576,500,064,509,114,269,307,289,776,627,211,
316,025,544,097,681,261,987,698,899,259,902,409,939,280,267,028,198,779,446,
240,088,613,410,613,246,483,624,600,988,855,381,774,578,755,117,135,226,431,
758,794,545,897,346,577,616,322,596,761,388,958,334,120,478,987,143,439,000,
370,235,771,940,989,286,009,462,148,989,777,682,008,168,335,229,470,282,733,
527,271,595,682,784,508,126,007,656,992,211,371,844,090,379,567,489,687,805,
767,570,899,500,937,426,808,785,599,899,804,094,308,092,074,080,072,118,530,
770,361,824,449,827,034,680,768,628,832,960,433,118,254,609,579,009,213,599,
736,584,397,938,203,138,346,855,701,094,834,005,669,245,247,452,813,969,931,
155,881,125,591,008,031,224,651,627,532,735,172,578,916,793,089,919,170,492,
022,999,428,649,728,239,904,343,958,500,638,383,507,010,734,292,647,844,116,
274,367,966,223,438,071,661,616,140,454,242,848,819,263,059,300,110,333,129,
407,292,632,914,114,098,002,741,194,632,809,952,632,040,979,610,407,288,506,
013,088,500,104,253,225,496,123,362,538,315,878,294,393,310,175,535,135,268,
329,291,412,501,092,455,427,062,209,795,032,720,679,369,517,078,939,021,376,
750,047,313,668,442,289,046,675,741,578,771,695,031,003,794,446,886,472,611,
981,048,670,714,340,009,314,878,439,623,953,992,188,119,438,251,548,109,492,
128,836,675,515,878,119,237,507,447,144,070,672,824,176,937,146,329,539,877,
648,261,525,280,466,631,629,575,187,268,863,888,723,000,266,934,240,730,924,
901,610,569,308,336,439,063,968,603,081,536,594,524,954,713,701,271,356,147,
084,384,164,132,072,336,290,529,097,850,232,054,402,158,378,477,209,811,533,
129,000,257,249,299,673,953,422,478,937,788,328,463,690,018,848,928,160,881,
195,782,204,069,618,331,293,639,862,039,877,398,775,277,276,674,495,880,470,
282,146,791,218,828,279,209,164,061,297,280,138,797,094,250,650,779,274,318,
921,306,942,820,269,272,342,955,121,863,111,498,514,264,963,558,750,195,621,
395,480,556,016,621,152,436,902,375,980,162,621,744,895,289,332,040,243,253,
560,234,275,304,961,824,182,991,229,282,793,867,475,194,401,718,204,255,441,
049,998,262,869,380,117,066,384,026,001,410,693,069,060,574,032,746,237,164,
379,611,586,059,223,177,953,468,007,651,070,230,210,400,370,649,962,235,627,
045,795,145,065,480,897,887,407,049,383,261,535,357,673,013,488,138,097,176,
906,413,633,349,630,434,190,203,497,852,533,328,339,468,608,898,323,502,257,
220,361,570,258,426,988,681,049,503,612,945,207,584,857,098,775,381,739,249,
711,668,289,636,590,104,143,901,361,356,331,688,825,200,202,930,641,684,438,
214,520,418,934,631,735,599,120,458,869,425,916,092,076,093,961,207,906,134,
552,603,049,406,562,455,866,727,398,513,812,226,856,126,196,775,068,917,643,
008,996,651,320,314,729,291,423,776,624,998,043,124,566,701,464,839,179,560,
405,774,477,231,197,608,207,402,854,479,154,257,016,668,878,796,142,481,793,
606,657,504,250,619,206,078,645,961,014,648,511,336,372,951,704,108,110,460,
043,962,836,223,418,990,519,201,502,938,489,678,447,433,533,292,633,822,557,
290,567,754,645,940,501,092,490,568,537,114,549,896,594,902,655,643,355,757,
247,887,471,515,881,743,334,754,060,153,850,037,537,730,435,230,820,590,298,
142,201,244,677,674,290,122,678,085,101,611,599,242,502,499,501,095,893,821,
605,528,783,972,055,664,113,895,493,942,078,245,117,215,740,273,487,059,743,
963,590,266,558,248,058,660,808,225,927,459,146,446,226,199,880,576,713,360,
329,213,444,828,518,259,250,135,202,334,163,001,112,880,998,009,780,585,853,
689,106,474,964,344,846,045,063,872,374,126,980,762,375,596,577,512,098,329,
708,140,751,827,207,612,985,874,687,853,941,908,377,878,833,243,019,386,179,
328,670,091,041,017,692,828,931,780,737,835,590,860,706,928,609,381,058,965,
206,923,870,337,198,038,073,104,831,655,536,915,172,761,225,055,905,598,670,
406,242,857,695,310,791,732,945,244,638,679,772,578,006,115,419,373,990,204,
482,054,241,546,694,180,780,660,412,675,249,098,421,429,777,305,072,783,025,
753,959,931,414,400,085,048,462,034,169,192,193,118,330,968,056,661,074,451,
163,609,682,868,337,437,739,241,755,076,987,341,072,303,608,543,914,526,434,
121,150,156,578,222,723,944,426,533,093,773,487,417,049,672,447,776,861,422,
300,064,136,194,163,278,003,943,929,202,739,224,834,007,108,408,464,575,380,
771,445,291,663,862,434,540,079,985,490,491,915,368,059,559,917,942,481,145,
458,116,765,172,667,764,202,554,822,546,710,415,682,746,591,781,190,765,563,
722,823,655,202,764,657,176,066,902,988,200,993,884,870,243,043,801,796,196,
013,258,633,753,998,121,419,082,182,774,163,547,833,031,734,474,583,930,386,
088,491,862,292,211,901,463,885,862,221,974,723,398,669,460,475,500,338,429,
246,275,173,984,463,574,488,878,457,808,749,921,720,673,626,180,716,106,844,
087,299,088,600,380,735,234,301,549,760,387,715,198,291,912,460,285,121,041,
047,454,103,950,593,890,865,889,574,709,368,139,625,942,520,938,006,405,975,
118,702,894,173,764,523,583,294,113,465,850,892,256,063,562,905,641,516,157,
188,809,255,320,409,877,339,729,816,481,109,089,672,257,083,883,668,437,820,
231,170,455,468,448,191,901,098,534,119,751,643,535,405,020,615,614,637,992,
145,612,901,336,372,093,367,557,344,409,856,472,486,829,443,396,558,106,165,
862,491,968,323,949,569,314,562,795,448,698,484,051,431,324,024,058,487,062,
755,747,216,135,579,703,344,188,138,393,835,332,250,840,190,541,583,239,707,
710,342,557,098,741,678,286,288,150,249,381,348,058,937,139,596,687,053,967,
375,532,447,458,175,394,674,903,781,054,896,309,950,428,979,764,389,527,054,
332,433,431,699,642,015,025,623,892,091,277,899,059,344,139,591,771,454,191,
585,886,990,218,911,786,710,096,921,942,186,056,001,975,639,861,400,646,559,
417,044,240,282,992,338,096,871,467,758,204,322,295,166,447,189,212,900,851,
242,930,995,327,529,441,640,166,769,970,630,210,049,241,971,659,331,881,974,
330,916,068,739,443,591,708,837,493,305,682,711,269,320,799,799,750,536,729,
537,212,184,514,725,972,024,340,920,705,513,639,505,877,400,053,218,547,324,
200,421,145,141,591,568,817,597,228,053,757,465,413,730,471,628,266,217,970,
584,367,186,879,462,746,445,222,490,012,333,314,476,520,102,600,773,999,606,
242,510,751,728,015,179,226,906,285,930,214,911,201,703,228,539,991,503,515,
944,546,876,086,496,384,883,721,793,093,199,515,784,336,588,918,971,151,381,
791,203,213,249,668,029,094,904,154,691,084,701,178,680,758,368,018,527,087,
351,362,486,938,756,230,807,501,628,846,601,018,870,113,220,586,030,800,582,
222,142,556,842,386,072,690,940,866,857,860,511,184,696,619,329,256,420,175,
572,347,884,004,369,478,431,048,095,018,567,802,489,296,786,745,149,376,136,
384,258,436,906,949,562,255,816,937,229,427,064,147,860,311,090,515,443,184,
837,842,190,555,822,910,599,167,274,686,323,954,874,832,944,659,937,684,833,
153,177,098,027,398,598,338,520,067,379,505,798,734,800,625,056,998,603,126,
233,304,679,498,877,115,854,260,194,411,358,033,425,396,869,692,861,214,042,
840,935,581,654,055,914,828,845,937,831,913,486,468,978,795,943,046,186,607,
190,796,147,438,539,495,717,558,568,501,914,703,339,395,822,531,596,548,784,
613,200,008,242,970,091,814,791,945,034,483,382,923,667,472,518,445,416,959,
995,724,192,229,670,946,056,417,360,248,394,695,214,188,458,685,388,007,268,
286,522,908,950,870,675,685,387,997,915,497,493,675,331,239,542,035,336,814,
877,314,952,732,987,897,774,986,686,646,563,189,139,017,291,280,153,011,362,
341,355,911,938,070,476,552,626,906,509,412,722,046,491,919,870,873,817,668,
247,830,116,633,990,929,831,424,401,722,832,480,885,037,840,498,875,857,609,
153,830,385,926,787,743,634,083,225,773,482,730,548,275,446,724,694,120,163,
857,367,642,176,233,949,160,714,244,409,869,202,200,579,824,645,774,508,322,
496,856,659,309,710,654,373,118,314,371,138,582,240,321,829,175,798,688,428,
945,554,572,927,945,111,251,035,494,764,185,238,305,360,665,343,662,110,609,
000,422,473,395,376,148,161,706,395,862,178,205,037,409,066,781,431,895,113,
263,031,212,105,332,420,185,707,152,874,819,891,529,220,804,170,579,756,065,
090,799,566,058,108,551,190,483,264,630,647,547,714,863,791,118,074,715,534,
824,360,156,544,099,449,344,138,835,494,229,009,741,355,428,379,038,300,097,
064,771,523,079,155,353,112,255,246,788,006,585,369,905,779,466,753,635,526,
761,278,382,795,592,456,133,638,074,806,316,049,607,726,404,372,449,469,887,
303,991,920,714,193,026,746,060,483,137,572,226,443,718,439,415,166,457,315,
908,742,665,087,384,718,120,470,192,630,751,931,297,170,878,187,908,694,546,
205,668,599,942,892,400,255,818,290,781,391,984,131,817,872,361,495,982,705,
639,805,459,210,040,979,505,098,859,421,154,794,835,534,408,620,996,180,022,
554,422,565,536,042,188,167,439,624,935,117,812,453,716,174,408,147,411,963,
355,320,939,659,389,220,781,110,559,470,528,215,573,318,252,702,787,097,547,
933,715,204,475,606,757,496,675,980,732,797,076,101,652,803,489,310,198,366,
925,282,122,288,655,837,774,535,456,386,940,570,930,729,516,509,818,662,240,
860,621,133,042,572,395,193,948,500,527,967,715,527,357,323,393,558,809,397,
227,543,339,170,114,180,389,871,142,367,800,518,173,930,980,326,445,483,974,
979,105,294,331,611,711,139,314,277,504,951,015,501,074,206,023,719,175,316,
878,825,480,752,213,547,149,111,056,031,293,472,236,543,440,420,329,445,883,
635,853,462,880,462,802,085,403,959,648,706,087,864,376,645,303,782,043,386,
116,333,632,453,684,000,982,099,352,719,066,977,058,587,446,010,710,824,975,
998,220,212,135,887,370,257,174,688,618,187,735,221,125,163,616,540,000,488,
009,698,227,314,056,405,893,178,054,021,683,910,127,106,223,486,358,851,738,
024,973,798,525,506,585,412,683,351,101,557,574,767,242,173,047,751,244,048,
357,306,839,291,553,165,050,320,129,359,421,697,785,362,065,097,441,636,646,
026,043,957,625,400,157,360,024,828,676,634,181,496,310,618,843,616,051,523,
677,825,506,278,643,244,926,556,831,830,473,462,356,873,082,849,017,940,916,
343,769,729,788,549,074,785,225,260,156,606,835,106,047,200,341,555,866,706,
152,945,758,271,103,058,279,983,887,309,374,561,217,716,738,875,220,791,700,
602,163,626,849,659,904,741,803,052,837,163,755,928,358,731,753,113,132,666,
698,897,004,629,300,747,841,198,632,039,491,566,618,055,694,245,047,164,857,
052,532,579,803,111,714,405,266,995,063,527,577,969,994,896,839,753,122,828,
954,788,915,578,176,391,324,801,881,636,506,572,541,837,650,976,559,212,359,
228,739,009,496,588,912,124,636,894,757,021,682,041,243,219,880,500,421,539,
704,658,702,208,570,464,098,398,171,192,289,563,825,825,255,300,963,774,182,
391,058,588,945,045,123,042,925,392,887,822,799,451,926,061,887,359,500,717,
909,181,527,016,586,430,531,840,472,951,765,103,950,660,363,445,620,023,470,
354,450,644,783,974,572,336,159,144,493,872,932,380,396,788,174,500,523,482,
416,673,894,574,990,625,160,846,879,800,747,294,351,319,393,540,664,439,388,
244,333,301,515,428,246,098,158,313,787,052,829,467,493,993,927,335,209,411,
199,158,431,790,020,951,426,201,871,963,863,340,420,536,398,001,083,175,628,
879,826,599,821,391,910,208,777,051,167,901,713,029,833,956,730,288,776,182,
159,426,984,395,986,743,418,953,244,791,357,021,990,063,871,861,084,925,969,
007,374,517,986,980,367,930,767,058,619,934,366,063,504,324,128,615,007,635,
806,016,927,063,478,090,968,810,438,320,028,592,992,705,579,425,907,233,831,
554,809,517,470,362,984,894,877,740,142,266,477,148,308,189,334,953,376,932,
062,181,343,973,545,859,444,977,864,098,021,443,879,797,716,715,864,327,699,
581,965,818,516,008,120,936,460,728,464,410,793,635,832,582,536,567,579,399,
684,587,695,954,032,979,207,510,388,519,956,849,410,830,887,290,989,832,787,
089,916,305,247,264,925,738,859,075,663,939,133,304,539,284,416,198,211,727,
377,468,755,885,638,533,827,628,000,249,807,831,638,718,292,726,760,520,241,
540,066,628,587,682,343,918,057,286,334,255,625,864,969,410,249,688,662,517,
856,072,260,876,115,292,766,790,570,672,033,437,315,509,450,391,858,909,080,
578,474,647,474,959,358,842,470,816,870,696,819,830,244,264,703,798,237,612,
642,776,942,148,355,868,301,760,966,270,001,966,618,117,916,229,603,108,867,
687,125,965,080,569,853,375,446,445,794,555,126,229,411,209,044,670,988,958,
123,927,196,334,952,920,898,359,145,387,939,503,671,007,465,700,048,450,443,
491,497,798,463,913,621,020,698,899,771,863,510,581,968,727,167,241,743,197,
713,529,650,486,003,601,786,385,029,665,070,017,247,539,931,686,254,385,957,
552,880,256,940,253,944,531,801,441,013,265,066,710,991,013,237,261,521,770,
246,227,939,629,595,760,028,157,424,577,230,078,672,627,275,176,477,837,155,
660,200,323,974,596,010,895,077,629,761,078,342,137,837,630,286,314,611,378,
622,010,149,795,491,096,911,747,458,251,655,263,746,469,237,494,789,088,187,
150,953,597,304,122,902,034,855,181,507,410,782,437,239,748,207,548,594,983,
313,318,413,141,843,109,714,578,970,055,062,565,663,746,124,182,940,365,207,
432,637,193,080,448,964,077,901,291,113,701,171,233,732,245,945,230,357,494,
522,414,816,430,693,212,123,099,642,736,234,261,384,376,792,938,670,773,117,
625,241,926,774,986,972,413,859,415,098,048,371,588,439,630,897,827,976,180,
655,686,326,276,267,475,745,082,491,526,196,359,824,033,770,514,633,587,146,
931,498,364,838,378,560,200,082,619,443,639,218,473,443,698,727,657,901,429,
708,172,677,515,963,909,016,375,572,231,599,746,046,059,532,671,635,298,423,
463,027,562,696,148,598,842,422,621,954,184,603,980,984,054,365,022,929,869,
718,220,890,737,350,483,970,384,845,813,512,815,466,043,858,095,816,984,750,
140,667,945,343,048,769,140,956,148,446,145,126,905,633,331,133,336,799,136,
580,630,693,910,886,713,743,866,869,069,064,517,694,012,169,320,253,032,179,
539,264,034,472,878,167,758,559,669,969,832,546,462,429,606,687,535,557,638,
320,564,342,522,781,441,596,167,832,472,165,845,781,194,663,114,278,469,569,
450,179,990,953,923,266,031,062,764,791,872,083,802,730,757,790,929,726,363,
641,117,931,655,986,241,524,129,647,257,679,949,311,405,141,122,825,890,874,
508,145,135,663,099,296,298,501,319,897,911,528,790,554,026,143,167,483,022,
792,766,808,107,835,118,171,305,762,035,692,594,724,845,147,142,576,096,236,
302,686,129,389,285,988,154,308,289,130,811,583,482,569,263,468,042,080,467,
812,210,353,103,131,289,711,168,127,887,655,139,363,723,735,013,390,895,089,
508,788,613,701,832,284,672,387,327,592,754,478,608,992,397,086,649,648,946,
649,416,831,576,223,876,509,122,114,117,187,118,631,940,219,157,003,667,603,
262,448,202,469,774,932,347,950,093,498,770,480,614,377,552,413,843,543,883,
823,108,720,190,400,300,530,564,260,193,576,083,355,129,208,073,999,066,452,
956,272,662,343,447,700,275,614,615,245,732,126,795,119,124,108,023,076,149,
253,121,102,046,683,450,968,116,173,847,230,375,068,846,955,014,620,414,314,
314,207,779,561,526,168,511,301,736,673,905,788,396,318,353,833,641,816,841,
044,670,709,463,866,990,489,513,664,938,414,643,339,169,853,845,878,904,575,
674,587,694,837,389,353,436,533,525,047,851,200,199,429,548,509,639,506,125,
982,939,054,577,315,371,676,024,194,887,317,733,615,176,643,589,644,588,707,
056,618,614,442,185,161,017,364,437,037,847,881,949,690,587,168,779,890,463,
962,340,047,602,955,712,733,605,973,738,705,427,618,151,510,538,305,332,484,
638,057,606,198,793,652,479,670,168,869,335,248,364,567,116,984,498,306,778,
854,052,467,097,164,170,633,903,382,346,443,377,237,470,250,964,799,481,450,
838,388,644,580,001,696,502,164,618,397,405,536,795,129,382,530,394,207,938,
190,282,652,544,592,376,551,814,840,431,014,810,079,150,285,253,082,552,286,
918,313,052,765,356,167,864,878,685,779,442,043,783,246,178,360,168,033,078,
541,275,451,554,172,585,401,484,968,067,990,922,281,107,635,179,326,470,953,
543,161,299,630,214,315,764,708,917,954,521,101,547,077,267,496,106,695,451,
747,179,422,534,622,281,944,779,695,548,416,929,358,734,593,816,638,871,879,
053,062,563,441,441,155,221,358,239,524,274,298,286,429,964,539,493,236,768,
401,295,247,698,960,461,590,659,030,824,152,219,917,681,319,496,796,521,147,
534,309,128,614,956,334,988,577,214,677,663,929,352,246,808,742,054,085,588,
199,145,912,673,610,295,961,695,270,940,749,266,234,171,750,825,566,342,011,
608,378,037,044,416,320,440,451,407,300,704,637,419,781,656,299,987,389,382,
817,295,116,453,574,444,883,228,448,901,065,156,762,329,678,635,089,377,844,
495,150,707,254,321,842,712,478,103,435,921,162,284,833,171,363,377,667,996,
753,532,011,177,192,943,698,063,731,792,536,700,155,678,401,609,263,629,246,
919,815,225,288,897,458,754,644,312,034,324,203,001,738,475,671,292,527,563,
668,081,192,733,857,941,530,119,123,802,304,979,915,474,175,141,683,148,000,
792,485,139,947,212,361,965,825,133,769,680,413,712,370,267,675,154,180,621,
100,835,779,258,596,357,424,218,395,343,252,011,885,854,009,084,001,657,212,
558,187,161,744,139,333,772,203,664,038,047,038,418,883,355,908,273,268,490,
419,194,228,683,155,937,939,294,279,261,339,312,243,734,079,911,663,351,579,
690,038,913,811,968,336,982,205,650,022,931,607,824,774,988,337,753,638,457,
065,498,092,649,284,079,716,873,084,325,762,343,212,328,208,921,997,728,295,
938,264,278,701,691,376,475,215,618,321,455,449,192,719,546,742,731,612,121,
214,196,094,122,744,625,398,878,005,378,768,194,915,139,816,625,958,119,756,
165,946,891,148,416,590,210,932,336,842,893,628,037,306,724,286,335,203,254,
789,435,825,262,413,980,311,915,311,390,541,325,260,455,357,461,971,946,725,
566,573,447,261,092,622,045,010,844,259,411,708,245,696,781,104,078,619,421,
249,875,694,913,549,162,839,579,939,518,615,492,846,124,392,113,876,205,447,
102,509,946,257,303,204,975,792,724,045,833,912,606,428,065,878,213,422,974,
334,158,346,205,902,620,032,584,365,527,041,562,832,271,481,309,549,058,874,
979,745,672,042,134,226,386,581,618,471,709,406,823,377,581,589,132,102,104,
644,672,087,645,138,247,595,332,087,546,044,081,812,039,755,220,142,790,767,
577,891,044,674,843,219,569,155,383,828,388,118,832,678,671,736,569,972,948,
118,627,427,201,747,405,076,135,471,740,261,308,964,209,081,546,859,993,056,
630,332,472,025,727,831,584,374,293,904,371,445,204,580,974,126,315,117,631,
061,010,661,012,705,284,168,631,014,459,906,772,292,065,672,195,509,096,440,
148,347,196,851,157,250,794,963,364,581,681,897,817,469,472,063,699,186,370,
810,862,579,479,711,509,681,870,317,806,036,653,473,863,218,442,862,294,671,
299,724,998,900,433,021,926,857,134,321,549,642,599,979,977,099,581,882,832,
238,893,989,761,780,985,666,083,965,325,807,712,616,506,780,709,833,513,847,
530,077,227,382,148,304,821,085,687,294,092,504,211,871,529,515,845,773,122,
098,509,071,991,675,958,242,921,820,440,915,441,066,202,886,527,414,334,389,
478,292,810,899,164,719,860,124,342,479,829,663,407,304,985,616,100,139,373,
321,444,399,627,128,258,659,620,310,690,827,434,659,453,474,537,271,895,790,
240,861,640,921,837,692,128,293,015,043,233,391,553,562,818,662,222,807,435,
790,799,570,337,397,984,982,969,125,822,734,085,684,276,691,165,774,180,821,
308,049,197,696,731,730,200,454,527,416,886,140,972,816,647,461,102,886,218,
660,135,072,139,926,444,620,328,832,285,340,519,301,346,739,224,282,027,243,
333,914,544,588,619,264,036,838,430,432,027,410,569,366,061,010,783,195,561,
357,113,853,960,244,241,903,663,864,929,411,411,846,155,040,479,175,364,370,
107,300,188,644,125,046,089,201,773,490,999,661,765,762,931,595,224,660,193,
078,382,444,700,488,047,459,862,749,629,552,397,115,022,931,812,909,395,371,
015,312,009,110,003,284,654,625,676,068,565,632,433,151,350,031,427,285,780,
958,225,852,133,139,559,394,887,299,571,468,312,389,932,034,701,397,021,132,
246,205,430,774,551,439,833,358,638,888,507,803,248,679,822,238,625,021,036,
577,466,790,131,596,834,101,560,172,407,112,082,424,740,379,533,041,506,650,
571,846,310,026,545,260,418,058,926,191,302,626,711,500,972,331,990,642,070,
404,022,821,141,808,631,468,642,711,391,862,977,952,469,150,255,853,917,153,
620,384,774,930,517,523,807,123,957,601,532,540,021,054,810,380,492,629,759,
243,643,169,085,364,430,045,626,764,013,490,389,517,199,451,663,518,302,320,
336,939,990,656,598,359,277,372,944,698,373,641,328,307,833,752,319,732,894,
928,107,802,163,687,427,560,003,582,199,735,020,477,390,903,584,685,310,203,
169,283,218,532,956,107,915,733,344,746,492,105,121,524,723,096,651,815,165,
791,249,880,895,056,381,082,107,292,687,824,247,223,797,668,003,279,932,496,
218,002,126,166,232,575,242,125,484,986,315,236,213,005,289,344,548,467,132,
217,176,664,053,286,417,493,645,020,466,978,684,187,186,481,710,164,604,957,
043,456,269,309,642,559,216,436,448,639,218,390,822,199,581,958,972,227,738,
511,217,726,505,997,989,419,114,713,512,349,196,260,814,544,560,311,271,770,
074,697,739,943,380,565,218,168,316,574,253,522,061,538,893,542,857,810,029,
940,223,771,233,417,484,260,996,260,561,904,204,989,072,858,799,103,199,990,
392,306,781,405,628,839,628,394,585,752,394,461,928,165,866,364,011,063,862,
549,556,349,788,641,179,151,346,302,686,097,316,191,280,729,410,575,328,685,
493,791,719,637,765,322,583,233,148,290,703,266,190,418,040,574,554,204,171,
922,808,137,871,021,160,939,404,851,188,927,763,649,543,709,619,692,295,834,
104,630,818,539,369,173,634,823,547,367,739,539,349,878,690,804,134,695,499,
444,961,139,521,136,983,700,112,407,769,562,567,503,814,079,036,165,272,117,
843,749,089,668,490,862,132,693,161,383,646,794,513,422,757,720,065,439,212,
199,054,165,055,080,723,637,403,382,449,849,748,242,498,095,828,645,165,915,
390,175,653,705,019,532,638,626,955,386,537,134,160,685,921,979,791,947,488,
941,241,709,476,474,212,114,471,955,611,492,769,118,600,394,043,704,133,386,
158,386,930,512,439,162,409,718,062,687,320,116,532,814,206,652,376,050,817,
616,953,543,866,641,488,323,651,107,991,709,223,020,124,320,958,333,574,433,
429,627,011,340,520,386,795,471,453,831,301,690,341,942,299,836,763,922,656,
229,435,964,377,188,227,273,122,810,276,544,092,572,316,522,159,562,465,924,
926,670,079,526,109,358,340,116,784,524,503,267,702,927,645,409,583,076,356,
783,113,590,829,543,347,877,521,272,336,822,930,930,240,435,496,096,224,423,
984,894,427,229,744,598,380,768,885,604,153,253,458,336,098,758,132,385,103,
680,854,399,632,114,466,758,571,250,191,913,289,974,368,159,236,781,796,763,
586,345,269,218,909,169,625,102,299,996,355,434,597,550,062,170,253,212,787,
561,848,460,627,680,745,306,358,852,778,672,537,736,854,547,957,871,909,514,
636,629,341,536,144,442,828,822,085,870,297,985,022,179,428,617,915,317,423,
681,744,349,588,480,418,498,798,406,322,275,302,134,898,677,516,631,715,705,
073,640,937,038,597,538,388,586,447,425,970,696,547,501,370,884,369,437,157,
989,630,430,295,000,718,104,916,965,355,491,634,491,085,396,821,896,807,428,
748,996,941,851,208,623,082,738,961,511,635,846,454,301,576,649,161,856,021,
324,314,906,956,070,937,503,579,277,946,994,661,141,935,366,559,699,266,868,
216,561,055,816,364,628,378,679,855,503,169,180,430,375,046,853,517,008,682,
398,678,366,319,073,299,112,420,880,858,875,528,360,252,509,369,582,401,166,
310,526,556,621,340,748,750,660,396,264,724,653,746,486,952,096,914,919,606,
408,444,441,584,317,012,693,438,232,434,965,588,703,340,224,407,892,978,537,
179,206,845,079,712,435,646,836,536,305,957,898,655,322,884,861,078,916,210,
625,068,894,573,702,917,709,904,406,008,535,243,991,058,322,425,558,638,540,
345,190,806,047,143,531,640,290,167,306,902,826,189,503,887,491,021,747,461,
151,892,441,649,311,973,475,276,366,008,162,841,973,405,611,410,618,265,666,
416,505,409,084,909,738,291,738,593,424,725,247,115,305,341,065,669,764,261,
130,357,820,823,879,481,972,199,643,386,095,009,828,550,217,107,361,113,877,
220,637,388,754,592,069,926,371,015,717,702,334,537,974,847,409,116,746,303,
296,133,839,383,277,193,306,132,297,436,601,283,374,920,920,504,010,680,451,
989,442,086,348,469,919,322,796,077,527,452,186,915,759,688,488,953,840,300,
159,723,497,222,167,620,305,448,598,301,183,273,009,292,008,156,006,423,204,
676,320,506,718,059,097,368,617,063,385,347,073,893,524,559,905,293,297,235,
336,806,853,704,600,722,823,575,326,353,271,343,805,082,313,671,985,393,675,
220,782,130,019,705,932,284,743,803,894,699,624,015,566,728,956,005,168,694,
991,651,540,650,562,913,712,001,800,145,721,173,974,920,902,126,862,429,675,
844,884,225,213,379,235,016,878,621,999,678,330,947,759,263,197,099,910,505,
767,227,373,465,922,541,413,608,780,253,070,613,283,972,469,447,371,340,243,
074,955,724,016,991,569,027,462,473,269,778,607,785,084,857,912,617,438,984,
639,598,638,347,572,444,466,252,904,813,446,283,502,173,159,441,104,944,869,
454,938,802,773,229,183,661,068,466,132,808,043,674,749,896,044,457,631,407,
635,631,613,413,501,313,868,480,048,390,660,796,595,177,694,361,474,663,578,
864,963,805,011,871,805,803,013,706,139,639,673,599,663,539,076,707,048,945,
261,781,883,469,123,974,302,857,953,072,929,507,962,940,700,960,745,237,792,
879,776,072,267,867,378,708,925,373,511,144,490,347,544,199,943,936,893,424,
870,279,458,256,784,142,597,804,031,964,051,511,573,339,543,292,305,314,527,
094,216,754,977,574,671,241,420,458,871,866,204,938,322,371,454,984,783,724,
368,437,966,995,101,131,980,674,338,756,864,904,200,981,045,692,380,820,295,
234,234,434,800,164,863,018,436,637,969,931,438,896,045,213,892,377,404,241,
543,246,469,550,518,795,815,619,129,268,125,418,394,878,313,683,310,024,588,
758,966,985,901,299,424,562,907,101,616,814,324,652,362,068,420,219,754,531,
804,099,997,617,991,191,958,431,087,891,189,040,517,338,463,519,055,079,487,
863,090,807,206,057,521,351,031,610,476,890,860,991,885,210,977,162,658,900,
321,795,661,725,494,371,184,765,176,061,923,636,977,232,083,798,991,966,371,
315,975,930,013,725,740,038,898,068,225,164,714,860,861,997,855,182,099,529,
459,595,090,949,592,302,320,722,014,317,933,644,548,342,971,096,084,675,691,
073,160,307,423,829,456,761,340,340,477,239,095,458,137,481,012,456,085,226,
449,791,604,768,278,133,758,475,302,939,349,660,483,249,389,618,873,386,661,
475,305,598,266,594,912,194,036,923,777,068,405,288,355,330,866,895,099,250,
384,713,961,451,616,709,487,180,422,459,490,700,123,351,585,284,239,876,215,
699,976,810,247,235,353,857,078,784,908,535,630,760,392,936,769,115,818,711,
580,253,952,033,966,690,978,944,209,130,937,543,252,327,406,354,580,135,049,
594,155,482,035,450,519,075,603,387,418,564,583,230,285,003,629,474,828,008,
096,713,975,021,681,215,472,222,555,460,933,217,232,840,202,039,902,979,362,
710,428,162,145,187,100,824,062,350,576,670,961,903,622,499,146,770,910,142,
804,619,948,970,926,262,302,432,213,945,355,702,127,411,068,476,542,540,253,
939,097,342,601,020,528,595,111,511,565,637,308,532,439,026,715,670,385,211,
049,958,640,004,817,611,811,289,490,895,517,718,787,869,705,335,754,193,866,
103,815,323,835,319,030,091,949,164,781,084,891,319,244,809,725,201,084,226,
275,596,947,800,337,076,613,435,259,556,727,701,269,194,651,848,378,764,985,
464,637,213,057,617,269,018,618,043,163,864,407,689,207,886,384,377,355,279,
590,637,797,778,102,114,243,889,274,038,942,165,886,415,519,235,529,632,839,
455,290,419,034,957,979,995,392,120,963,353,460,085,469,678,134,248,783,227,
145,913,442,889,427,096,828,848,117,840,401,208,775,645,174,679,115,897,715,
148,064,429,190,166,030,105,589,244,149,027,199,477,261,029,686,695,565,113,
614,558,052,136,113,853,581,073,068,050,280,227,699,398,682,141,061,444,781,
332,571,224,840,427,621,043,247,869,918,846,170,749,738,793,069,077,731,485,
106,749,671,402,837,259,057,210,833,053,179,906,133,525,214,720,553,217,882,
762,974,954,268,266,518,872,350,101,449,847,513,698,262,149,742,041,124,569,
483,593,624,892,313,333,679,483,030,460,966,808,151,959,953,017,640,208,404,
133,804,792,412,320,665,699,313,315,179,197,758,434,637,077,370,730,766,860,
034,676,153,971,675,296,255,244,912,826,066,614,581,527,528,990,165,000,528,
409,815,131,718,200,030,582,839,631,175,466,040,781,406,284,023,921,759,306,
742,507,618,197,078,342,320,227,668,548,642,027,189,511,594,427,619,294,787,
071,500,051,333,273,978,776,706,555,883,503,663,621,275,418,685,660,716,063,
547,089,861,455,820,292,688,867,548,286,024,991,342,059,967,310,817,815,857,
866,806,446,917,990,466,292,230,445,329,563,576,087,142,965,068,999,012,338,
132,115,603,526,116,828,349,520,351,408,331,471,322,699,398,708,578,634,175,
226,742,009,719,495,812,914,718,255,191,573,825,687,961,126,041,721,452,646,
897,803,385,271,524,677,691,700,813,545,221,006,620,846,488,923,983,733,712,
457,828,906,229,914,353,566,932,076,010,472,455,993,751,118,747,550,131,484,
057,328,311,225,736,483,359,100,682,850,314,242,538,596,047,411,310,429,385,
136,476,537,168,864,478,040,757,379,525,930,159,922,077,214,738,930,514,902,
533,603,660,583,318,458,344,414,100,218,740,460,591,860,705,464,019,823,756,
535,476,246,395,939,629,581,829,601,654,068,595,504,325,269,672,140,923,549,
191,562,721,073,768,346,540,959,176,090,054,346,687,756,469,259,929,337,449,
469,228,797,970,012,024,343,435,438,773,701,925,338,135,051,254,672,339,021,
722,694,619,966,423,774,398,137,851,446,475,879,068,108,208,224,143,380,335,
041,730,766,410,508,263,100,701,661,104,094,024,902,422,113,980,717,948,453,
970,522,288,833,423,820,786,499,515,994,454,405,253,314,422,387,535,642,256,
801,675,814,161,411,538,725,325,872,833,363,270,688,264,877,820,580,671,221,
564,764,379,138,009,124,557,474,988,784,695,435,087,241,496,900,722,412,365,
520,975,494,214,711,098,745,435,579,401,084,061,684,815,682,519,582,457,570,
465,849,854,111,897,630,531,598,493,058,155,880,731,865,194,180,118,209,760,
162,110,323,094,638,223,415,874,806,633,828,920,071,755,216,028,849,349,176,
533,394,993,101,308,740,042,301,176,095,524,370,033,634,282,027,109,421,928,
328,840,476,423,861,593,779,838,128,210,036,687,914,285,707,444,972,238,602,
338,372,848,592,106,747,463,618,722,327,945,680,741,072,574,022,587,429,717,
154,899,521,089,945,948,553,104,333,780,012,835,500,326,787,309,370,657,814,
628,466,699,831,625,774,257,282,198,632,169,515,299,735,704,877,781,512,017,
743,582,128,669,316,075,572,983,291,995,603,305,819,656,761,785,569,323,731,
533,719,722,415,954,645,992,589,769,300,726,872,975,840,152,335,107,570,872,
325,388,009,976,339,571,169,539,564,553,358,292,479,231,115,430,313,561,618,
995,672,818,038,966,293,496,311,950,492,416,006,067,724,819,009,963,736,218,
510,367,173,829,065,399,101,156,075,764,711,524,527,251,858,293,093,700,272,
365,045,224,937,733,581,775,265,058,773,605,942,248,135,956,776,048,359,575,
307,467,088,199,574,701,046,764,862,514,152,328,256,415,801,334,803,500,830,
620,824,209,447,032,913,918,749,748,816,412,949,263,831,892,164,388,351,338,
427,602,296,531,710,802,964,297,297,992,676,073,492,057,086,605,653,309,973,
388,929,000,562,739,086,947,550,420,640,205,957,111,619,001,285,231,318,926,
243,289,845,751,919,674,589,921,255,005,250,695,972,682,703,340,269,975,882,
255,561,932,512,100,998,045,321,243,326,168,488,356,748,829,732,449,281,804,
551,000,636,378,367,897,916,285,758,898,608,178,264,531,599,925,442,572,123,
525,240,687,931,256,730,978,611,099,128,821,721,350,637,659,109,352,119,381,
887,283,291,700,274,580,817,904,152,879,141,697,461,890,106,608,207,470,389,
263,219,814,651,115,741,892,744,051,177,490,543,435,173,249,407,025,427,706,
415,121,358,403,952,242,797,670,327,439,414,379,008,049,805,836,465,071,090,
153,994,134,855,663,485,947,651,045,755,538,565,546,984,021,650,972,302,710,
160,982,516,042,087,190,440,330,510,871,855,822,184,141,581,105,150,237,860,
983,728,692,519,021,259,528,117,558,880,674,594,503,081,962,388,690,952,450,
685,223,324,792,322,466,168,406,259,961,803,071,200,044,690,896,770,293,553,
630,273,007,390,901,497,216,098,813,960,648,873,061,242,490,335,760,365,718,
034,102,603,231,568,576,724,078,846,435,839,366,599,768,260,083,516,006,195,
544,930,802,151,106,626,057,777,620,671,460,564,520,034,591,539,344,375,387,
173,751,932,534,835,210,863,816,712,971,614,175,484,902,123,719,900,138,755,
380,495,645,011,912,313,740,354,678,741,128,651,544,915,723,916,890,473,603,
074,924,622,915,747,092,303,832,424,333,178,305,303,803,275,225,685,743,058,
135,124,030,086,930,111,292,175,811,724,277,863,570,551,554,476,230,043,003,
694,983,157,953,397,402,898,860,069,456,222,925,349,778,055,866,538,061,783,
420,225,738,596,983,563,956,864,845,650,692,045,380,261,572,337,689,343,099,
379,445,903,087,414,353,670,361,225,330,177,242,816,210,499,189,486,737,339,
934,451,839,071,289,356,180,422,618,333,190,884,317,596,885,701,482,818,002,
885,887,416,271,145,670,194,031,859,607,837,896,975,068,644,899,109,666,249,
442,388,226,037,516,072,610,858,863,673,558,289,463,959,821,672,546,108,458,
309,435,588,656,780,794,057,478,000,043,423,370,439,040,281,494,414,618,429,
893,167,598,665,103,769,619,348,770,209,334,637,797,337,001,032,169,536,920,
863,545,243,932,033,199,581,651,637,704,358,018,342,342,521,247,799,554,569,
544,519,620,977,124,853,197,837,248,144,246,108,473,361,228,415,899,541,343,
897,964,686,086,816,582,816,267,859,732,313,699,401,555,013,343,742,505,891,
125,898,720,681,159,176,416,160,127,662,783,082,819,108,145,137,707,024,266,
489,926,637,987,535,679,234,563,243,777,296,308,859,381,318,865,963,791,628,
805,072,818,696,712,966,431,492,421,906,086,904,387,896,688,604,581,652,709,
609,753,797,723,822,808,186,856,935,808,853,806,240,439,826,737,940,428,667,
038,835,563,588,516,881,890,397,980,586,355,203,737,819,654,515,823,173,859,
939,418,028,890,960,081,577,998,629,018,106,527,819,466,040,020,659,791,254,
388,860,244,916,543,642,103,744,204,726,584,301,075,734,286,126,696,779,079,
834,460,221,727,610,068,982,449,450,756,911,063,612,645,543,855,506,934,823,
106,959,435,332,686,675,859,785,966,764,657,494,525,050,531,288,418,370,258,
772,806,256,049,456,405,586,970,192,708,927,684,766,146,742,331,999,965,546,
695,491,149,436,349,471,802,418,856,906,091,743,946,385,657,891,731,767,814,
135,919,081,865,771,324,704,657,948,038,878,636,943,541,298,689,759,755,791,
690,626,134,519,389,840,575,470,809,822,797,449,097,166,581,827,826,906,117,
780,293,975,884,326,328,060,575,181,180,165,999,711,657,796,286,601,281,632,
112,631,375,779,176,908,853,564,211,668,172,753,276,471,503,002,413,381,780,
433,276,452,053,939,351,302,915,329,088,344,744,786,338,506,054,026,982,530,
654,615,943,944,932,377,192,509,231,416,719,735,392,297,595,304,439,577,903,
367,406,113,434,051,568,692,362,259,206,479,244,841,829,844,712,800,045,143,
601,715,282,605,622,488,940,056,135,527,772,684,815,308,386,383,160,768,907,
021,312,436,829,003,348,544,116,119,307,092,618,829,999,384,353,885,091,637,
371,163,612,175,817,102,841,312,585,064,502,338,508,368,152,599,760,616,348,
094,634,261,149,083,547,150,982,453,070,488,704,361,327,897,597,663,222,888,
921,141,193,283,744,246,146,400,503,620,969,229,509,023,057,290,185,366,038,
651,642,792,596,872,144,112,219,552,276,056,458,557,978,779,205,273,249,682,
507,972,130,135,822,861,404,121,344,807,269,754,918,752,830,642,526,478,652,
741,432,586,962,444,971,759,234,070,498,969,853,570,933,865,351,615,868,991,
005,208,858,812,635,928,885,710,315,300,904,624,021,330,824,093,827,288,893,
177,331,810,157,359,902,090,598,644,239,309,266,333,391,917,212,148,336,037,
277,614,291,249,568,712,763,910,270,300,188,583,444,971,995,357,908,081,494,
496,591,318,877,379,872,475,105,222,766,843,745,479,781,102,679,273,476,159,
335,211,668,425,912,509,320,283,933,604,155,726,382,842,057,342,959,196,518,
361,649,111,869,744,450,242,494,273,325,764,178,587,794,637,619,307,018,504,
636,016,964,290,754,995,956,116,223,160,342,226,329,304,097,397,215,793,339,
376,089,475,021,703,987,007,089,501,819,610,157,922,867,623,956,815,833,906,
992,400,044,229,291,425,367,720,371,005,913,290,758,023,955,808,248,813,083,
327,248,661,981,276,665,254,944,041,152,907,627,604,023,422,599,246,801,470,
027,234,535,606,832,478,568,640,521,813,032,070,105,256,791,976,203,862,287,
782,404,369,994,447,107,923,384,875,254,427,240,217,955,116,428,804,748,760,
460,985,017,563,030,745,490,402,460,435,164,374,282,691,381,056,140,786,132,
479,737,836,346,661,447,335,300,927,810,213,145,616,309,593,420,591,417,743,
441,409,287,873,775,176,080,864,923,455,887,617,497,363,842,436,018,876,188,
593,245,264,939,067,764,158,548,865,002,231,393,910,956,451,794,293,088,832,
105,565,498,696,121,729,153,075,356,312,481,594,246,231,766,753,558,807,040,
634,072,262,311,858,256,615,666,092,371,097,365,350,791,510,012,188,642,571,
354,232,123,783,505,062,374,611,318,777,202,232,142,738,099,375,002,540,935,
964,090,785,695,459,976,311,770,085,935,049,307,022,978,072,732,585,041,191,
576,022,974,900,814,324,687,152,638,697,094,086,293,534,640,451,074,442,754,
416,603,883,755,501,944,205,105,844,690,953,478,607,084,583,060,108,051,999,
918,996,424,036,621,442,231,033,695,968,537,432,351,120,198,680,881,811,797,
740,454,271,121,232,836,095,697,142,126,293,653,855,437,893,628,684,149,504,
459,536,275,947,929,672,238,720,740,377,611,952,794,244,121,354,321,490,757,
474,300,536,884,920,985,124,866,604,152,993,150,273,186,028,864,829,355,170,
428,749,830,838,246,441,021,952,053,358,574,660,319,918,591,427,071,700,236,
788,897,200,183,965,285,644,761,477,617,081,282,913,871,091,223,331,048,023,
672,523,526,047,739,305,943,745,527,377,284,445,792,844,594,310,204,709,116,
674,518,508,820,153,474,410,968,925,306,760,456,474,563,143,371,914,851,891,
245,003,049,558,618,951,671,608,572,306,239,732,534,035,527,981,711,008,712,
213,904,918,835,938,587,836,080,639,438,932,318,867,611,410,531,132,859,159,
673,133,386,685,509,683,008,653,180,180,515,757,642,670,027,639,246,288,387,
634,758,772,778,581,908,945,095,004,651,868,679,965,324,531,692,182,220,447,
276,546,122,095,643,169,309,077,872,711,988,106,093,236,216,800,383,472,584,
669,773,319,189,850,122,638,441,420,639,236,119,110,396,234,506,069,092,214,
322,601,106,124,733,367,690,711,494,591,093,026,508,363,777,391,509,313,584,
274,776,662,961,455,894,185,859,956,473,143,707,556,502,085,001,769,342,370,
176,092,642,599,759,932,900,713,610,571,116,914,265,753,609,264,545,041,841,
641,611,764,481,556,200,562,801,354,451,518,967,625,247,201,220,945,266,005,
619,060,513,979,392,661,115,941,269,079,259,535,392,597,002,662,101,202,735,
146,837,202,812,784,420,184,612,765,221,923,010,231,711,960,536,742,943,704,
959,049,771,916,411,396,909,513,230,390,070,665,301,175,885,364,708,529,210,
785,132,513,470,481,906,378,676,003,480,477,334,332,846,526,614,865,744,214,
504,279,635,465,256,153,981,254,322,672,033,523,589,228,443,532,612,393,540,
956,832,713,077,045,773,768,381,273,230,836,218,785,102,037,795,761,080,908,
614,885,887,714,287,314,268,778,413,311,894,468,042,554,620,499,609,918,263,
308,327,950,864,372,402,137,342,315,133,723,511,880,583,058,428,496,782,014,
357,695,628,747,385,886,472,057,329,136,156,843,243,929,767,551,653,902,688,
636,109,398,824,661,241,914,073,585,969,804,714,815,003,834,227,500,116,562,
482,637,492,523,472,362,298,070,093,479,616,980,424,335,485,908,872,600,092,
649,124,696,945,006,211,196,227,146,866,266,170,562,489,428,540,493,975,178,
550,490,568,672,295,918,453,619,779,966,103,278,171,017,286,602,920,212,420,
441,483,215,609,383,655,302,242,161,668,220,217,946,204,669,855,164,408,768,
134,352,454,816,148,121,037,887,922,216,979,479,459,847,065,961,431,580,130,
363,611,286,304,187,672,258,752,123,228,055,581,503,014,784,407,091,165,667,
052,347,237,572,121,919,636,232,924,850,132,640,545,647,609,310,238,244,412,
263,662,543,402,536,332,002,546,862,912,567,047,649,901,072,414,249,183,347,
168,344,088,800,107,019,527,420,615,309,128,519,167,946,138,418,696,304,153,
975,016,914,980,702,096,809,444,938,360,662,074,872,155,488,932,037,084,298,
233,638,585,052,427,385,035,944,217,170,819,972,718,624,398,137,530,683,363,
321,933,052,478,642,998,498,793,633,974,378,227,885,424,972,887,925,751,223,
922,578,934,993,817,148,771,330,513,461,504,513,917,428,740,151,782,939,632,
269,688,184,843,657,124,201,193,457,342,654,711,602,884,817,613,509,723,721,
800,896,178,427,674,892,045,184,718,632,737,133,802,791,840,792,914,565,211,
543,038,129,475,791,015,899,684,019,681,224,656,061,604,875,514,940,116,514,
957,529,188,346,127,847,169,054,822,921,002,320,990,551,724,288,594,245,248,
708,210,507,869,234,575,304,918,486,244,287,428,470,824,911,615,683,562,259,
899,778,819,688,386,143,880,209,960,476,687,931,583,719,259,850,183,553,467,
821,176,065,906,313,874,312,543,341,555,947,578,712,288,925,489,283,713,679,
103,188,468,180,676,636,290,328,534,098,936,162,004,198,847,233,092,895,115,
280,903,657,781,279,416,140,075,450,478,796,642,100,670,469,083,993,146,972,
843,852,517,794,171,721,437,583,046,281,006,142,022,842,050,002,846,709,546,
471,540,674,448,822,282,014,081,198,296,368,796,986,503,814,542,000,363,720,
036,222,062,289,067,057,218,920,102,176,338,050,529,485,513,937,424,984,409,
019,587,812,870,778,026,340,247,534,061,857,159,899,117,345,905,435,759,955,
158,630,340,322,170,094,632,022,330,032,529,833,546,717,355,363,023,246,937,
591,532,944,479,556,751,763,297,050,175,060,150,937,223,290,772,291,123,216,
390,353,074,655,088,128,695,437,276,644,787,843,016,075,675,768,151,672,471,
452,908,370,007,677,198,421,968,407,336,256,796,649,360,665,909,375,558,428,
906,572,500,936,936,350,044,610,098,560,002,197,618,977,348,747,139,419,528,
430,376,679,051,897,237,546,164,856,730,919,678,909,118,068,462,383,527,810,
753,246,029,389,364,816,591,294,099,566,125,586,132,682,675,275,109,278,599,
043,385,284,492,012,419,078,131,843,477,160,523,185,046,812,079,361,464,268,
577,385,981,703,893,604,185,791,238,593,731,322,030,118,917,340,651,030,643,
939,787,170,356,586,386,258,644,491,255,721,469,179,088,731,933,006,954,904,
464,642,436,378,803,756,201,645,584,942,707,347,714,033,036,516,437,339,929,
442,065,233,489,238,543,516,602,942,202,816,745,996,028,841,392,783,552,512,
003,863,401,586,641,020,158,935,628,909,906,058,270,678,877,993,232,386,246,
645,654,514,088,190,494,741,563,363,874,403,465,686,183,573,587,245,990,010,
205,917,791,286,128,506,406,007,715,188,519,481,633,504,527,838,198,218,600,
184,956,694,996,171,951,710,375,078,705,916,176,824,318,464,439,337,806,548,
954,420,906,491,503,256,159,626,019,688,117,874,011,779,749,730,141,920,655,
270,531,277,912,458,391,571,338,744,475,878,028,918,682,149,726,770,207,883,
454,963,194,332,443,810,369,669,372,527,589,685,073,868,165,084,059,732,856,
636,701,519,184,769,855,308,837,399,978,558,684,305,826,096,157,610,256,927,
660,312,399,372,158,961,272,396,596,719,950,395,577,184,996,210,851,857,514,
559,612,860,790,794,920,650,190,908,617,618,328,092,409,861,523,372,182,317,
273,114,600,663,386,708,813,879,576,217,119,973,501,086,943,008,966,739,455,
557,786,116,281,625,853,667,866,073,943,208,826,489,580,281,034,955,026,576,
241,551,756,920,120,161,912,794,476,164,788,657,081,902,527,929,740,534,415,
421,376,316,775,748,536,334,919,634,619,832,981,098,875,712,738,933,861,921,
870,738,830,231,433,869,533,865,378,263,761,905,466,586,486,194,827,838,226,
910,292,649,073,457,752,802,031,699,108,652,638,220,065,013,843,403,848,660,
620,799,708,842,128,986,693,010,725,779,113,845,751,302,229,783,641,616,775,
569,684,395,973,521,611,849,260,704,389,556,415,575,902,743,094,315,590,988,
787,401,357,535,935,387,588,907,640,843,423,460,741,367,480,922,771,265,263,
077,982,968,192,307,230,786,773,136,125,156,993,190,155,442,171,913,222,258,
324,636,103,406,750,486,098,416,478,310,261,605,577,684,886,765,269,254,215,
693,749,156,829,359,017,823,569,201,133,680,203,948,498,389,640,604,160,674,
892,631,953,573,580,126,776,134,235,054,496,697,821,849,906,691,386,503,777,
663,173,078,695,607,900,006,455,673,288,133,103,466,568,107,275,930,795,094,
939,488,710,921,119,226,449,594,652,729,596,477,213,767,406,684,680,210,651,
035,375,966,382,165,588,546,686,873,083,060,686,317,632,011,576,070,893,086,
696,358,540,314,264,742,468,020,090,235,245,715,388,976,860,867,022,160,826,
671,434,331,964,913,368,787,122,671,118,455,728,948,245,568,818,349,783,105,
179,505,710,632,880,200,598,818,941,254,199,490,643,579,639,977,264,008,885,
073,917,551,688,813,602,835,660,824,347,509,540,050,366,322,994,855,370,737,
773,780,630,544,845,095,235,262,803,214,612,263,493,387,507,257,112,615,438,
992,875,317,885,550,307,601,861,054,829,139,278,071,311,343,877,282,653,243,
808,315,033,013,275,640,845,691,558,919,019,670,037,670,640,338,512,824,314,
494,703,996,172,101,971,001,369,327,076,571,921,803,104,552,323,982,760,546,
900,992,046,926,129,487,263,468,089,684,377,672,254,443,578,245,716,870,175,
279,911,851,799,871,589,899,893,355,018,291,736,633,884,013,917,044,787,706,
896,456,247,628,120,735,225,819,438,280,460,637,334,837,107,756,448,660,432,
133,517,949,969,646,286,479,385,400,015,889,719,411,001,855,815,335,950,296,
932,931,880,406,560,588,542,981,920,324,147,292,901,173,153,741,986,452,975,
025,100,740,216,219,389,166,166,759,136,618,981,613,373,101,195,444,782,081,
540,079,529,957,402,232,378,125,543,919,603,683,365,721,775,124,583,693,178,
538,673,139,858,907,202,659,059,308,244,759,521,644,809,535,369,536,356,129,
048,512,314,256,224,555,061,924,042,803,123,619,593,620,350,510,267,666,124,
146,062,713,514,422,302,959,831,826,505,232,105,175,948,418,542,957,838,924,
757,389,086,797,960,301,746,821,449,426,100,222,832,230,243,424,780,661,931,
721,252,660,453,344,817,169,565,702,093,853,796,302,629,479,952,739,699,411,
382,789,431,647,121,982,342,546,132,764,851,919,614,524,996,005,072,117,285,
453,635,859,879,659,452,392,078,415,114,810,764,466,546,232,268,463,852,077,
495,132,361,363,385,180,335,348,036,307,563,671,466,856,519,296,688,974,867,
451,442,116,626,039,336,001,495,201,911,138,415,317,874,079,343,051,047,552,
435,772,261,545,352,225,617,819,078,374,322,925,237,109,060,484,450,509,603,
182,557,687,815,646,427,760,239,726,281,661,720,639,433,740,418,313,054,341,
185,930,273,388,224,915,106,885,147,960,825,473,925,200,437,172,603,930,536,
188,878,009,747,586,545,069,391,014,115,207,874,064,164,881,890,237,458,582,
456,419,431,756,390,365,679,610,945,234,949,761,630,174,379,433,591,867,472,
146,389,313,602,521,205,421,753,383,139,988,612,180,603,011,123,262,144,685,
802,547,385,850,360,402,291,131,047,434,931,794,371,846,403,108,799,641,036,
802,063,291,777,460,674,638,175,463,105,339,833,452,030,927,188,994,299,894,
107,209,179,330,355,886,450,906,129,118,307,938,963,729,305,328,921,145,683,
813,547,182,203,279,029,744,811,542,365,982,293,543,180,308,003,914,608,127,
995,668,112,327,260,239,924,176,338,127,556,546,492,661,989,499,197,114,581,
391,190,221,981,824,560,377,579,117,350,160,524,715,236,417,830,312,103,330,
124,503,485,127,646,580,831,318,025,727,575,132,254,145,897,602,979,548,290,
900,198,513,359,585,850,114,869,612,350,164,038,005,826,504,248,011,507,682,
266,253,913,028,302,770,191,822,535,567,155,188,300,393,647,665,616,864,821,
039,726,074,280,260,964,747,796,287,386,362,408,307,006,395,880,188,298,331,
075,678,240,366,469,301,939,264,724,008,143,582,943,053,320,875,853,053,357,
773,909,598,113,316,344,571,063,735,375,912,903,189,867,493,636,034,975,604,
604,806,851,190,836,469,405,476,789,297,053,167,730,063,876,871,955,968,287,
295,612,971,223,479,356,534,131,755,063,505,486,206,663,760,149,217,317,006,
720,398,385,896,045,191,232,743,842,097,279,110,688,886,927,955,637,648,799,
068,705,912,409,245,240,787,016,394,684,632,745,073,461,766,799,438,063,557,
116,896,738,112,128,401,972,123,422,694,238,503,456,899,138,795,844,036,007,
328,874,562,553,097,954,747,099,264,519,767,916,603,045,052,300,670,116,479,
943,294,390,315,157,411,163,742,561,233,452,299,214,208,925,011,714,886,767,
101,094,576,320,847,536,751,315,922,984,651,521,822,729,246,024,441,191,935,
731,984,090,606,801,786,319,144,120,635,005,622,405,647,754,029,396,466,313,
116,600,047,442,683,492,137,691,646,486,372,502,142,610,086,411,842,629,238,
852,962,123,606,178,509,343,152,442,247,465,249,901,596,253,446,242,814,080,
201,502,549,341,123,901,030,047,811,948,792,472,576,662,433,773,494,070,909,
657,890,708,935,417,829,277,489,352,170,951,966,256,213,460,435,252,728,583,
466,248,792,421,445,065,781,303,434,086,844,368,841,751,298,002,827,918,408,
127,301,526,163,653,901,007,036,670,438,413,778,889,405,751,453,904,807,868,
595,919,182,563,694,955,620,284,238,426,111,990,295,069,579,643,954,013,181,
296,996,984,705,201,640,276,741,796,106,077,469,995,358,668,466,936,464,003,
719,072,001,624,128,524,329,679,621,341,295,093,478,252,873,805,864,778,791,
456,864,215,255,672,317,095,288,398,022,679,478,780,049,877,624,487,745,615,
351,426,781,794,332,268,504,686,878,012,317,416,257,524,664,107,622,146,311,
253,330,207,976,373,020,325,101,386,051,486,765,650,527,964,364,996,218,817,
032,939,101,244,386,291,309,972,213,320,078,873,271,945,324,719,044,543,136,
670,973,960,690,135,649,562,962,784,108,301,517,161,968,880,161,461,463,358,
261,318,278,126,824,583,526,940,378,207,010,686,597,998,579,750,591,669,256,
561,041,089,541,569,244,365,375,594,302,467,814,214,443,668,307,969,276,384,
016,666,946,856,225,946,232,214,613,843,203,478,518,634,273,612,070,233,078,
932,738,366,410,957,780,954,499,613,076,822,009,172,998,952,728,691,366,368,
711,345,100,447,497,976,017,202,497,508,077,667,858,345,015,982,461,027,800,
441,975,453,816,480,940,508,755,146,912,056,653,563,299,127,470,273,267,604,
172,464,949,020,283,404,095,872,172,024,873,583,425,315,851,781,902,341,334,
026,252,672,947,494,306,770,483,079,188,983,761,366,903,375,251,025,293,708,
391,929,324,059,734,341,657,507,914,494,560,382,624,007,367,021,178,903,537,
705,004,247,401,926,238,574,901,078,682,164,780,273,736,592,480,327,553,101,
661,613,102,522,695,190,769,520,997,238,336,368,736,324,165,892,366,779,706,
670,244,458,786,228,779,142,079,950,649,311,068,677,328,911,060,604,625,507,
599,150,259,946,762,035,615,975,883,630,026,984,127,018,180,421,382,410,137,
026,457,965,906,590,493,129,684,092,951,173,029,353,413,361,010,742,295,519,
710,267,205,221,146,687,414,014,946,985,742,410,780,000,866,937,047,416,433,
140,520,355,209,088,083,531,409,427,568,870,286,930,087,777,250,715,477,248,
700,344,252,676,791,023,218,957,685,498,530,181,986,178,284,336,442,572,829,
877,971,678,838,679,061,937,573,734,237,477,851,951,916,822,218,821,329,041,
997,320,874,034,163,727,777,169,660,493,548,331,180,775,042,924,101,893,985,
548,767,783,683,302,395,284,392,960,920,701,385,391,918,010,895,295,566,689,
689,122,898,178,725,333,846,975,094,826,471,923,312,394,943,031,063,030,716,
403,483,987,100,726,252,478,438,563,858,873,036,478,104,981,138,219,782,258,
674,334,541,202,912,119,201,422,453,049,395,910,039,523,718,462,048,569,733,
864,422,932,052,852,078,498,886,595,441,970,051,202,303,381,962,749,975,408,
855,040,311,775,052,583,744,259,500,693,797,501,666,061,335,107,723,933,322,
946,911,396,243,021,101,058,805,504,123,930,861,057,097,890,042,850,338,019,
379,871,394,140,655,522,016,303,361,381,676,318,426,226,870,670,183,585,949,
430,062,173,096,461,858,930,710,557,747,443,857,238,929,506,283,121,654,873,
596,009,933,685,412,649,493,696,016,554,723,780,303,258,901,484,936,603,364,
853,125,513,985,724,243,037,808,776,322,749,168,402,378,086,657,646,096,398,
144,456,541,287,462,868,843,277,762,490,111,561,559,870,273,542,375,402,605,
139,555,858,199,717,557,891,354,098,586,441,499,530,849,202,516,721,586,387,
946,485,429,073,274,692,967,514,315,336,482,511,128,948,076,459,779,819,201,
862,449,368,520,721,437,944,237,103,641,839,889,365,942,752,651,576,861,864,
316,195,209,160,353,974,823,798,693,471,539,595,069,033,962,404,719,629,593,
889,373,539,594,967,028,638,071,628,619,871,914,535,179,249,822,591,435,923,
386,025,703,068,675,834,743,028,873,743,557,915,302,232,898,056,386,378,384,
778,753,168,099,560,510,251,667,554,937,806,929,400,914,060,010,190,883,262,
646,219,699,590,383,494,214,862,570,290,363,124,933,729,046,695,565,167,589,
083,035,866,079,534,070,712,364,778,300,092,505,058,249,215,757,144,122,353,
705,099,563,092,580,386,200,523,552,882,828,086,760,483,000,125,226,932,943,
811,153,924,696,009,266,938,416,611,051,360,139,722,747,181,256,230,558,914,
935,611,270,210,311,996,930,181,967,957,222,988,365,783,059,206,170,703,222,
654,198,739,692,347,015,792,961,040,589,075,047,009,085,090,729,144,870,588,
502,087,005,517,512,170,746,445,943,216,978,930,873,241,482,732,461,708,321,
242,409,257,330,709,318,263,121,079,702,908,102,815,852,956,113,696,569,616,
156,831,736,487,671,547,730,483,948,004,626,029,093,212,743,404,791,956,903,
872,189,829,675,273,522,267,290,807,191,479,967,967,183,372,653,031,996,575,
101,356,513,380,476,776,381,065,798,236,515,350,309,614,759,221,729,599,785,
428,814,634,540,105,057,783,118,055,456,745,104,338,845,837,536,017,705,450,
728,569,682,090,112,918,929,113,316,828,238,160,410,314,759,032,726,201,261,
490,736,197,150,066,605,573,985,372,479,543,249,512,473,850,336,851,077,649,
858,939,281,452,805,363,308,339,275,251,719,201,481,082,300,270,820,768,785,
643,947,620,909,210,747,891,987,924,338,057,441,503,329,939,270,162,129,305,
131,578,605,451,155,173,586,357,538,420,739,179,168,218,719,609,150,400,054,
670,783,226,498,010,199,592,047,633,939,984,702,179,389,041,289,633,152,532,
140,497,448,596,079,713,837,419,400,443,462,529,971,175,532,309,340,581,137,
305,927,547,101,053,693,299,598,244,413,323,464,053,091,070,189,603,494,896,
353,077,310,477,323,933,513,493,559,525,102,205,434,412,608,604,210,661,182,
679,239,332,707,531,597,933,085,031,107,341,619,130,913,798,721,685,299,425,
104,026,621,849,938,467,348,358,598,256,507,683,825,980,764,183,479,053,314,
779,845,363,867,577,563,230,020,666,608,715,503,515,707,712,908,014,476,082,
998,294,227,158,433,892,966,273,283,965,208,574,385,842,003,297,780,100,772,
022,324,884,640,539,173,395,040,490,800,616,941,240,946,388,570,708,370,106,
143,133,736,314,742,825,140,973,854,667,947,807,380,652,323,949,669,380,951,
629,878,600,310,150,196,736,114,898,576,037,010,807,787,215,776,594,226,188,
399,423,744,970,401,861,077,751,581,176,658,014,059,664,486,549,319,208,563,
453,786,913,443,881,486,568,784,671,220,440,573,981,437,868,933,588,460,135,
002,593,819,499,411,440,915,808,939,443,450,168,302,135,528,204,449,587,111,
636,991,540,530,431,399,811,293,681,751,001,605,988,784,967,873,092,764,669,
699,212,119,485,358,270,239,772,022,055,328,135,078,212,510,884,169,337,654,
411,254,743,323,995,794,559,156,495,315,872,432,077,464,762,895,733,934,675,
384,503,308,568,418,578,703,339,970,696,543,604,750,687,901,941,830,346,301,
977,471,372,494,398,081,141,126,364,795,553,128,762,506,448,394,319,324,442,
331,179,546,063,283,141,515,177,349,395,741,621,426,777,811,767,332,890,819,
520,868,567,473,709,175,246,044,792,928,717,805,588,287,951,174,414,947,054,
395,900,915,089,891,269,887,817,949,543,620,963,054,818,876,516,508,479,924,
344,534,101,993,767,940,897,856,259,712,436,461,821,883,750,026,966,826,608,
707,242,920,769,977,998,873,365,341,935,150,450,718,289,866,539,196,532,078,
887,610,871,933,996,522,435,379,139,080,009,251,020,236,580,527,545,606,077,
913,200,867,056,787,360,730,823,686,910,259,204,603,729,011,738,292,288,282,
233,307,328,975,321,898,313,312,525,676,211,491,536,703,498,143,500,847,166,
009,507,569,394,095,188,444,179,094,192,179,551,708,812,565,915,487,314,684,
705,913,541,497,407,672,357,623,126,335,565,477,393,321,185,423,656,476,013,
060,872,461,664,325,827,471,361,798,045,488,418,149,157,587,730,007,575,566,
313,806,042,440,352,483,031,230,801,447,223,344,152,321,054,415,508,488,872,
005,654,166,200,772,511,411,721,030,309,167,557,185,505,217,642,532,815,157,
786,447,528,904,530,322,345,358,233,305,935,845,568,271,832,552,816,295,309,
835,773,210,841,631,936,468,332,542,749,808,907,118,056,024,355,911,195,149,
051,895,050,032,372,723,000,209,143,711,566,827,269,494,930,153,161,886,740,
189,718,515,613,511,342,193,132,307,431,012,543,397,004,015,901,449,476,765,
155,335,866,114,252,850,033,086,870,642,592,070,632,163,528,139,700,988,521,
789,318,547,351,519,385,158,032,408,906,727,572,314,221,293,330,453,147,868,
613,726,888,124,218,172,928,383,660,947,687,899,805,326,913,199,875,023,886,
140,149,695,293,193,423,244,251,542,686,935,477,711,670,850,063,418,438,208,
279,934,702,921,235,617,185,947,081,081,610,766,930,442,970,532,741,085,488,
841,701,111,220,039,995,316,736,073,064,886,259,433,707,073,746,881,464,566,
376,592,569,021,494,936,886,069,153,226,009,597,428,978,735,050,694,672,588,
650,360,755,571,094,361,230,801,429,147,327,237,944,624,425,693,340,343,210,
048,605,652,004,223,642,731,509,269,767,187,954,203,501,942,622,055,762,339,
016,882,166,250,576,200,413,740,535,303,791,311,329,923,793,456,793,915,421,
391,750,574,096,001,491,082,409,216,952,491,397,241,210,882,598,729,435,368,
028,529,139,412,003,223,907,783,986,284,243,920,872,201,203,507,198,912,377,
084,358,334,389,706,492,623,479,746,489,407,691,483,767,881,470,962,859,995,
528,545,520,572,221,820,544,947,366,918,729,404,946,359,218,227,166,106,932,
190,862,754,815,557,397,362,782,725,978,242,999,074,308,284,284,360,676,116,
058,115,465,003,552,521,299,580,784,221,953,385,039,638,372,933,498,441,198,
976,236,200,790,534,654,926,886,393,619,158,253,105,360,573,155,932,537,245,
909,657,141,601,037,013,321,112,242,425,383,676,053,203,854,424,981,710,181,
427,883,215,244,498,961,135,243,573,834,806,449,221,747,114,189,689,789,207,
379,089,611,734,968,214,140,902,969,577,090,290,652,585,384,013,377,367,182,
439,631,807,976,961,337,658,369,184,623,954,014,651,830,172,731,793,178,694,
577,981,568,562,818,648,628,227,885,994,411,808,672,042,053,386,737,691,139,
788,619,441,828,703,761,315,649,398,794,656,255,622,648,110,712,459,914,710,
116,381,475,452,070,970,116,423,898,996,250,928,642,271,767,941,654,347,426,
101,139,096,985,721,834,735,443,573,100,873,218,988,910,113,075,162,692,650,
434,859,310,406,833,466,735,597,648,878,737,936,469,371,209,149,995,224,106,
889,737,999,634,836,218,416,310,167,452,836,736,217,530,468,746,176,602,806,
581,165,409,808,375,690,355,973,777,331,681,380,978,648,835,832,687,673,037,
594,934,867,553,522,434,713,554,153,297,305,787,621,832,932,463,346,393,039,
874,822,333,427,659,761,923,650,686,295,407,128,499,288,096,974,844,093,361,
661,331,633,301,094,946,671,460,423,435,776,557,549,788,497,914,825,405,119,
690,387,739,328,706,071,644,289,710,859,672,159,841,538,482,909,491,167,540,
310,701,522,769,911,688,903,697,534,611,153,844,407,768,668,674,995,088,558,
956,391,532,834,504,530,489,660,307,561,625,856,741,723,595,694,403,769,366,
648,697,317,883,506,632,325,515,594,311,856,875,147,062,210,570,375,274,063,
462,453,312,226,530,471,919,267,158,357,263,545,141,249,250,610,970,731,673,
235,515,019,173,931,126,466,002,346,868,983,928,829,765,799,535,792,183,847,
637,048,929,160,915,595,917,802,439,416,424,941,813,549,423,085,113,987,694,
203,476,755,080,386,684,462,517,919,036,217,274,379,228,853,821,501,297,523,
544,075,424,039,121,508,351,434,051,779,163,798,564,090,084,857,363,239,096,
550,739,740,818,990,360,766,505,039,700,357,423,185,147,586,731,022,146,765,
114,454,759,898,086,027,622,186,905,595,112,100,244,233,799,527,299,952,091,
410,173,274,458,230,142,522,752,404,007,877,205,355,695,721,879,806,600,176,
458,365,233,664,930,359,872,240,665,561,060,075,569,698,642,662,700,427,070,
647,887,921,604,887,932,990,710,694,071,137,812,584,232,609,522,516,654,574,
591,608,168,589,070,505,307,070,991,392,513,872,933,567,318,505,613,894,804,
916,524,486,080,109,096,828,195,725,892,196,266,749,568,853,737,328,570,396,
531,291,405,021,819,575,721,625,981,128,671,551,816,444,393,877,528,396,751,
946,829,407,826,024,418,622,121,676,554,477,404,058,109,928,504,313,174,103,
024,814,690,908,931,526,779,143,295,537,991,596,284,964,584,370,422,926,549,
887,462,763,720,998,401,768,318,684,919,900,290,169,741,251,922,274,482,630,
199,716,786,333,649,255,925,343,573,338,098,884,542,023,592,010,831,108,980,
435,832,366,838,668,756,772,111,250,671,885,843,417,897,143,103,570,998,671,
817,268,764,581,947,922,106,888,568,456,824,673,220,253,286,163,551,998,310,
090,896,030,095,396,251,471,361,548,212,432,635,387,683,618,140,276,341,685,
930,263,066,087,126,444,514,453,418,475,551,857,176,232,701,542,914,275,319,
056,315,401,049,776,948,123,678,014,217,651,369,792,102,261,476,507,722,119,
010,826,448,787,948,785,204,361,571,838,676,415,039,454,832,649,079,526,984,
163,813,753,908,814,150,807,331,612,738,080,084,958,701,779,912,208,838,241,
365,789,324,934,103,111,678,369,334,183,179,353,173,244,738,568,398,172,286,
131,420,133,829,944,590,706,268,552,083,797,883,216,922,258,863,740,911,618,
515,892,058,621,661,038,391,028,881,662,564,190,755,903,513,570,828,017,991,
016,208,519,960,952,937,050,266,066,765,364,943,208,310,320,058,262,231,226,
619,670,188,743,463,674,831,592,760,515,572,727,773,913,243,410,678,872,539,
685,039,524,101,667,455,788,091,930,466,480,801,264,925,817,459,802,828,051,
105,927,454,245,554,659,041,445,000,273,155,947,134,684,115,359,815,676,343,
375,377,600,797,730,194,366,062,121,806,745,834,759,790,885,326,257,182,771,
544,603,132,453,374,452,555,348,131,362,909,605,000,111,094,824,709,784,299,
320,423,773,069,794,902,558,525,238,542,537,291,459,683,907,525,170,746,295,
437,171,829,600,104,346,871,067,702,766,426,173,495,377,224,596,685,491,090,
699,614,605,468,354,295,195,044,740,264,637,788,367,358,053,399,064,757,492,
840,882,305,449,020,871,006,050,363,379,914,732,487,381,176,373,895,412,656,
021,218,309,692,433,167,412,782,807,887,286,368,098,789,508,247,108,311,126,
934,726,981,466,404,499,086,212,351,837,708,012,447,438,888,723,338,064,612,
800,137,214,417,501,185,460,494,670,419,364,149,877,367,808,158,947,609,429,
533,438,967,329,556,950,229,446,706,724,025,244,893,568,471,005,545,170,115,
999,594,065,030,534,448,176,882,214,338,714,976,310,404,953,269,558,028,744,
955,502,612,096,617,205,654,798,095,020,587,092,937,751,646,834,406,821,518,
065,548,344,402,135,314,805,300,110,370,227,186,707,377,091,041,214,391,627,
721,287,167,706,829,017,963,989,795,557,559,637,866,236,685,203,078,829,315,
260,742,768,966,842,722,415,071,475,917,508,109,550,717,802,753,571,774,400,
483,135,386,544,530,260,980,677,415,544,792,583,162,310,524,886,112,733,821,
846,381,102,885,146,193,760,134,710,043,150,392,016,728,568,265,650,894,676,
768,485,762,820,618,140,387,236,634,889,756,435,668,024,121,154,483,628,949,
330,429,772,379,115,303,296,385,877,383,255,439,626,832,762,609,872,534,699,
326,310,633,756,631,895,986,110,873,659,627,420,215,734,160,084,198,731,850,
193,330,807,727,430,735,209,879,836,184,574,689,634,163,106,517,096,785,267,
322,818,234,547,066,147,618,246,908,509,663,504,575,517,034,233,616,467,412,
714,128,675,710,029,352,631,878,543,918,525,977,793,113,470,830,128,823,081,
020,482,111,378,354,920,797,586,225,096,818,783,828,087,085,242,242,328,858,
783,440,110,523,162,961,476,928,207,380,654,164,353,961,217,290,098,877,444,
208,170,987,422,656,933,704,470,509,368,058,113,973,971,527,655,791,478,299,
800,540,658,929,181,946,416,975,155,502,663,414,971,291,544,548,343,431,572,
946,776,929,332,315,555,208,546,631,462,801,099,841,110,463,413,305,505,113,
369,403,388,615,525,247,540,448,642,710,817,802,826,416,902,432,744,429,127,
757,822,947,105,843,334,730,189,914,266,233,005,208,168,961,714,495,092,702,
395,186,198,282,240,786,221,659,091,389,508,259,222,582,911,439,977,594,839,
805,147,156,768,907,614,444,599,960,928,147,580,756,384,433,210,427,073,356,
522,593,211,149,440,099,941,731,106,604,841,366,662,043,554,113,326,071,014,
483,059,659,264,673,435,531,856,213,283,260,722,144,074,903,110,950,931,869,
063,549,994,339,740,102,408,143,768,659,891,658,338,488,723,252,942,898,816,
843,167,532,548,414,110,239,059,319,510,872,698,427,139,051,522,151,817,342,
337,853,338,229,699,439,707,958,037,213,646,691,970,842,985,734,322,911,466,
931,465,890,104,075,870,833,153,773,594,207,688,801,524,846,870,693,454,988,
516,037,127,173,914,444,509,103,714,934,093,329,118,544,735,907,156,168,175,
876,456,808,798,871,123,337,579,385,342,096,690,187,976,750,890,786,175,370,
665,715,576,459,135,137,644,602,167,965,955,040,912,745,331,155,399,401,176,
485,160,109,703,573,223,894,253,768,649,505,363,466,021,552,932,325,221,331,
914,702,257,836,550,383,128,354,936,920,117,899,079,541,138,412,426,782,469,
488,152,388,511,526,178,671,376,868,903,759,260,197,874,618,607,542,785,667,
451,464,606,011,622,790,543,148,085,688,605,571,095,183,634,127,395,353,502,
053,978,501,533,968,806,324,270,317,252,294,020,511,027,483,934,287,851,276,
121,560,998,767,905,136,938,073,846,622,501,109,761,422,129,807,472,791,142,
602,802,004,032,769,975,675,751,429,318,152,783,716,142,825,089,996,081,278,
393,376,211,789,206,849,626,656,947,215,548,023,612,948,424,348,200,972,416,
414,164,473,754,196,747,719,498,935,212,529,940,822,688,590,701,394,165,142,
928,767,874,888,679,294,412,770,918,799,301,171,536,911,808,022,809,217,384,
056,387,721,272,372,237,350,752,763,729,771,491,890,956,305,471,088,896,333,
028,077,607,530,091,465,207,730,166,184,117,706,431,296,677,384,634,195,652,
490,966,533,479,635,645,871,968,590,365,349,514,193,373,730,022,558,847,089,
283,446,490,066,423,037,428,718,468,772,990,507,992,415,338,348,404,403,528,
853,404,197,945,348,126,320,837,187,149,120,365,675,341,376,120,086,775,240,
125,940,363,827,081,656,645,317,148,087,035,538,042,339,215,790,370,107,700,
165,184,142,081,100,335,091,757,274,645,723,545,112,984,561,532,849,189,528,
188,288,215,782,134,469,815,663,155,127,577,115,598,130,616,436,907,988,241,
431,457,882,268,688,861,589,871,954,215,806,874,300,402,024,695,304,682,191,
361,429,779,027,642,030,589,819,023,732,045,734,368,951,172,755,065,872,712,
372,008,882,222,861,956,647,039,310,789,164,344,769,974,443,045,995,649,115,
919,757,809,697,977,211,553,867,262,697,011,006,110,836,181,842,447,337,366,
298,189,105,561,228,731,394,824,536,657,454,428,187,591,595,858,442,231,118,
264,237,173,250,011,631,754,729,266,455,986,377,071,302,996,573,465,359,069,
650,873,195,275,408,524,833,439,491,522,761,909,606,088,109,080,777,876,808,
428,634,357,688,338,255,322,918,020,031,287,958,418,879,020,200,986,616,817,
638,934,198,451,045,923,126,056,350,829,112,058,697,501,703,065,189,304,783,
032,696,516,918,550,438,937,195,602,845,152,513,701,321,604,107,791,075,282,
391,926,000,642,299,604,775,133,678,527,521,038,803,524,113,885,229,027,180,
171,625,391,240,729,568,406,942,013,569,048,465,455,480,832,333,471,779,745,
060,145,886,848,365,148,405,070,226,184,601,448,966,121,825,353,366,236,020,
255,173,205,329,424,977,252,661,009,147,837,525,923,201,286,550,718,020,438,
131,120,263,026,625,205,690,783,676,684,893,872,676,822,515,877,794,518,838,
484,487,304,766,158,506,926,168,914,310,059,870,994,867,365,692,624,444,556,
767,634,855,271,721,228,284,679,758,998,285,651,511,997,920,412,139,772,010,
010,726,078,609,714,857,495,504,043,563,212,734,554,661,703,039,131,414,871,
932,238,643,214,867,488,230,201,744,759,228,048,379,993,841,752,371,358,592,
519,268,355,999,631,673,972,003,394,026,529,377,788,826,394,248,295,722,944,
754,897,658,773,943,031,051,570,105,763,321,437,341,830,020,850,076,159,014,
755,227,573,073,839,385,507,014,487,947,405,375,749,272,518,053,338,712,743,
735,629,655,444,325,024,243,911,221,912,821,091,357,617,565,952,879,549,175,
971,455,612,693,749,362,345,789,597,442,985,015,425,259,820,412,944,110,803,
637,298,690,394,929,747,220,247,146,474,002,262,411,865,398,059,067,845,893,
697,214,507,577,819,706,156,495,310,790,531,831,445,041,582,405,588,041,925,
102,124,170,907,333,896,671,263,960,124,386,666,484,614,832,507,661,198,155,
423,020,254,820,494,659,756,990,746,958,852,455,872,212,914,413,523,314,765,
087,112,183,216,675,079,562,861,714,380,132,576,060,980,558,153,354,100,030,
643,447,034,840,665,567,150,392,827,568,028,250,723,977,800,519,810,173,573,
520,336,499,269,148,660,227,163,883,683,426,535,747,126,642,232,395,265,391,
250,646,546,547,879,083,701,814,916,020,993,714,241,809,364,240,016,877,048,
233,823,936,767,943,579,421,854,685,662,588,678,676,041,565,218,788,796,666,
734,135,662,164,969,232,348,073,773,018,593,365,917,692,817,110,410,031,232,
900,489,806,965,617,712,018,499,481,502,560,237,765,157,294,925,725,971,978,
375,115,209,772,520,807,064,812,156,882,856,213,123,953,394,141,273,838,991,
893,896,470,114,495,198,127,093,105,967,156,552,368,692,774,194,732,371,801,
434,310,044,324,069,109,734,398,216,336,446,511,252,411,140,862,773,596,108,
095,809,613,943,439,050,358,901,448,403,643,153,098,660,686,888,362,268,588,
750,005,149,884,819,161,547,273,353,046,715,559,199,176,319,996,313,956,602,
586,692,057,435,941,528,774,388,632,701,662,445,675,030,117,580,068,780,070,
990,528,035,216,147,394,365,414,604,647,265,134,467,630,890,848,167,160,693,
828,920,552,082,176,742,867,346,398,254,340,839,227,139,076,810,653,901,887,
360,024,381,045,104,138,371,451,763,164,896,739,973,440,815,381,701,063,008,
598,788,973,298,840,585,548,025,642,539,502,477,148,014,370,419,826,638,263,
949,924,708,227,175,823,743,012,032,942,526,884,866,884,206,917,415,129,697,
722,292,165,308,067,983,427,789,927,110,167,922,026,085,418,998,934,290,317,
727,278,715,334,826,910,521,242,844,473,570,463,781,444,337,292,444,768,289,
100,272,979,708,342,137,652,023,676,892,173,169,944,724,655,678,592,750,119,
565,341,569,002,625,783,426,149,924,247,074,199,566,801,900,304,368,537,239,
145,939,901,053,001,427,689,606,914,997,413,816,605,200,711,902,168,793,954,
317,973,893,386,200,053,689,843,247,080,133,702,355,875,373,150,679,030,672,
558,614,642,671,367,188,260,935,741,145,223,897,021,968,367,375,131,677,135,
385,471,521,907,019,774,793,532,087,830,776,451,215,852,275,948,102,988,584,
923,897,027,522,889,785,550,468,811,176,785,854,119,869,418,576,736,137,219,
580,534,272,779,229,645,596,009,738,379,410,613,247,984,060,299,116,841,453,
327,520,926,004,740,483,531,152,217,291,567,586,393,835,912,766,276,410,008,
678,943,628,668,432,776,480,534,959,523,172,817,525,752,294,002,354,487,924,
156,300,377,086,564,553,269,838,148,053,180,624,914,694,625,804,505,403,770,
887,322,405,906,293,177,017,311,105,666,688,652,128,645,616,069,362,801,411,
803,117,580,522,738,611,086,153,697,703,228,354,304,346,443,935,913,944,079,
473,033,703,558,058,074,335,318,262,684,227,126,688,142,949,313,739,333,024,
152,769,259,995,597,283,019,959,993,406,379,140,321,185,523,385,471,001,724,
681,171,125,483,886,368,252,751,544,082,926,502,965,087,008,545,276,957,746,
836,078,842,416,784,727,766,314,139,248,066,384,831,525,915,103,021,257,397,
127,719,012,658,525,606,893,515,631,346,727,534,093,196,158,689,821,115,878,
459,178,814,197,640,220,707,195,950,729,863,978,080,895,949,948,512,978,766,
191,936,892,862,763,009,758,022,658,773,164,020,979,604,390,385,560,806,960,
017,826,721,126,398,476,799,240,991,844,768,919,595,520,951,870,301,392,135,
439,779,925,397,418,248,732,163,152,132,998,375,531,176,191,166,920,295,750,
748,939,674,847,621,427,712,558,417,874,589,958,695,051,661,947,322,842,203,
026,534,617,997,820,979,650,422,260,606,191,064,699,669,582,624,027,661,641,
005,069,192,543,010,945,183,544,866,753,636,919,292,211,236,150,038,209,302,
247,747,844,656,028,578,523,009,494,328,970,048,258,946,429,240,582,919,502,
058,281,808,962,113,088,291,981,406,053,598,271,691,653,995,002,887,340,675,
346,835,511,174,436,213,253,723,376,317,178,558,078,028,632,427,472,896,864,
603,683,807,313,752,140,998,246,635,816,052,684,526,039,778,464,603,764,824,
439,250,756,805,681,199,643,929,177,950,343,794,769,850,748,282,501,400,471,
484,257,582,407,349,531,791,862,139,125,988,023,348,845,664,489,222,062,587,
947,644,219,103,539,001,986,120,571,748,114,650,336,434,466,601,087,595,623,
322,129,773,081,638,352,575,648,502,321,611,683,333,571,405,564,901,762,294,
945,858,947,344,875,833,654,209,674,211,707,136,903,318,890,623,409,229,030,
785,453,324,273,653,284,425,647,509,235,179,324,421,176,088,877,593,467,748,
425,325,596,757,885,094,475,994,757,402,326,217,631,442,573,263,164,754,540,
153,413,783,871,921,357,704,250,896,005,321,716,406,294,275,824,645,290,884,
894,940,498,414,286,282,346,164,945,538,546,341,500,620,180,089,503,717,717,
274,960,379,317,859,538,156,460,475,659,326,479,548,084,079,162,928,468,666,
714,275,705,997,051,433,169,823,569,605,444,156,997,123,386,517,352,548,794,
245,123,476,219,760,010,361,060,589,514,294,567,306,084,981,538,614,271,009,
971,689,044,899,972,964,256,794,529,618,792,846,478,707,700,642,404,145,714,
693,770,668,045,220,886,198,267,214,097,777,979,413,328,126,121,001,808,757,
296,704,649,292,497,813,458,276,977,824,407,452,708,608,033,180,525,507,770,
564,401,433,540,936,810,797,351,575,814,417,433,934,752,534,221,874,782,221,
469,635,704,735,303,933,824,239,141,215,586,669,076,013,125,870,487,855,180,
520,363,552,305,266,528,816,085,731,520,881,188,941,932,253,738,552,527,838,
193,760,217,394,831,877,738,895,095,948,364,574,829,222,821,738,940,649,135,
294,663,182,371,235,887,793,482,912,653,061,146,013,311,913,060,310,011,967,
305,306,441,035,733,135,534,535,131,175,289,901,257,785,735,642,252,254,788,
954,983,923,469,455,332,164,065,064,185,774,929,947,807,129,071,163,769,819,
738,248,950,376,635,666,596,207,508,842,537,052,307,529,139,951,957,360,399,
478,225,216,761,682,326,512,671,878,837,560,950,391,503,905,399,169,455,911,
651,940,627,861,304,806,422,904,378,142,719,302,147,092,880,623,205,367,663,
961,310,328,765,432,567,230,517,830,515,865,432,279,201,092,517,542,693,512,
850,351,646,893,764,381,025,349,992,556,975,143,919,338,948,200,458,653,679,
414,483,299,497,857,644,147,360,123,371,229,462,614,494,986,109,401,102,226,
144,162,377,276,863,279,250,264,869,621,404,252,195,309,529,110,570,322,331,
255,071,504,558,870,358,116,654,304,501,490,015,030,115,989,561,914,207,179,
579,815,189,030,489,141,704,463,627,666,396,121,831,715,936,396,368,097,902,
727,562,931,077,561,532,093,105,928,869,896,672,679,800,140,926,758,028,623,
905,013,443,228,601,394,273,186,723,510,178,281,403,016,138,725,163,123,187,
819,938,606,258,513,811,571,039,695,710,082,046,325,775,520,509,508,808,937,
613,258,041,543,428,581,389,783,416,599,462,923,361,052,031,414,673,470,345,
129,763,062,928,008,174,133,886,710,817,508,875,411,946,050,056,792,424,033,
857,130,134,064,825,500,224,284,120,849,358,738,323,754,152,503,902,037,985,
091,622,870,812,189,100,454,914,844,774,199,573,435,155,066,435,612,010,284,
296,676,659,465,011,696,653,309,083,328,070,420,427,527,303,244,888,018,026,
146,331,240,873,409,034,638,252,837,119,081,801,910,511,247,628,635,411,236,
029,621,648,366,757,577,208,684,276,899,571,882,214,700,840,397,644,402,366,
642,853,893,558,189,917,631,274,415,427,613,676,042,873,750,733,784,378,229,
271,177,423,105,558,118,300,328,093,390,315,309,184,873,683,552,173,348,316,
762,549,375,357,371,728,451,551,294,862,789,593,253,488,316,762,772,227,498,
018,208,975,432,558,037,093,188,310,856,326,972,625,842,498,982,694,165,248,
448,588,801,130,209,870,036,601,181,316,444,990,851,663,428,353,905,405,233,
475,350,578,483,520,579,876,237,012,466,359,277,808,205,262,263,097,243,498,
528,297,411,496,119,915,483,356,037,739,672,445,697,935,954,094,969,967,058,
131,645,534,922,076,049,750,779,880,821,608,452,716,775,851,849,328,159,569,
086,903,529,212,983,040,846,931,666,383,344,268,225,761,192,373,993,157,748,
933,270,007,724,878,845,642,051,046,113,043,323,261,324,539,184,808,181,721,
840,777,466,423,669,595,073,361,045,342,648,353,184,412,167,263,863,577,573,
303,116,984,027,224,851,995,373,423,025,084,068,471,843,074,029,022,622,803,
695,829,047,428,186,835,339,378,022,659,755,227,240,348,108,630,760,345,673,
455,134,917,974,366,922,426,753,296,327,456,036,872,705,149,272,484,221,145,
229,544,061,149,772,921,209,405,145,585,050,575,253,818,820,407,614,785,791,
467,319,632,359,020,757,989,199,912,058,114,629,479,357,528,071,977,840,689,
617,035,644,388,107,209,629,294,253,936,726,322,815,108,985,097,286,878,713,
667,049,281,803,163,574,163,213,302,313,950,507,363,940,707,979,301,098,149,
814,555,105,743,813,173,610,814,702,906,884,430,722,198,906,396,938,876,655,
623,584,389,195,343,759,259,034,059,305,321,634,283,807,574,261,566,976,219,
672,337,151,596,742,013,127,907,478,975,121,757,429,288,636,135,829,255,267,
793,638,727,639,168,612,614,524,915,727,463,149,145,482,487,412,645,424,924,
078,140,304,377,423,539,425,946,265,982,167,845,961,422,085,476,030,463,499,
417,356,663,833,994,534,359,431,091,622,825,253,285,659,807,937,387,138,093,
220,555,134,690,818,338,272,208,617,097,378,243,624,129,616,629,852,437,432,
045,806,375,733,564,863,894,317,920,072,813,932,040,383,425,428,074,157,765,
098,477,553,160,497,748,705,448,527,181,353,255,951,146,651,444,013,398,143,
537,541,631,735,599,771,310,369,798,445,481,769,484,036,654,569,312,832,497,
244,394,253,745,809,906,601,723,476,067,748,459,316,312,046,720,406,622,470,
048,111,364,709,905,855,404,850,893,185,896,915,869,793,137,501,474,019,489,
088,271,885,480,139,959,945,248,419,048,754,881,054,793,810,251,267,491,700,
665,453,161,365,716,341,474,304,632,660,527,896,477,811,992,381,824,791,679,
952,505,331,180,174,599,666,874,930,709,215,858,476,395,190,411,206,452,793,
393,055,597,655,456,487,136,506,052,479,703,701,009,076,192,064,821,712,511,
308,112,741,009,348,466,940,867,540,541,340,083,587,347,071,231,576,763,210,
953,606,780,803,619,345,790,344,185,777,044,798,749,067,867,178,423,544,402,
601,716,740,232,564,749,967,335,592,134,162,249,397,435,859,594,752,480,004,
631,839,195,273,296,800,986,262,537,835,966,750,418,061,658,232,622,829,114,
443,878,614,097,073,027,078,548,517,004,397,420,112,997,717,177,008,880,012,
295,649,364,369,934,637,688,869,275,619,896,398,195,334,907,233,700,280,110,
040,423,262,562,874,881,129,385,836,020,024,891,859,418,444,521,805,374,463,
518,442,971,684,652,173,679,598,193,524,717,178,466,729,712,162,888,412,330,
006,252,913,112,621,108,056,952,924,754,327,667,654,463,317,545,360,671,493,
175,995,349,752,248,024,795,462,356,490,447,059,389,042,028,981,988,860,669,
217,470,897,923,511,941,098,348,331,586,405,629,927,291,175,852,001,950,749,
076,853,252,288,142,687,113,832,464,674,957,314,857,061,073,101,727,712,809,
522,716,215,102,753,886,114,960,474,716,284,130,964,118,906,164,582,518,095,
603,345,140,884,412,862,946,140,211,158,161,459,678,107,679,269,366,390,161,
367,149,530,391,682,148,642,951,408,721,962,221,200,651,137,405,462,961,153,
654,442,289,167,917,294,961,218,157,819,174,496,899,550,508,148,336,268,163,
993,843,760,837,032,225,808,823,772,704,775,121,802,678,571,487,362,689,260,
109,307,623,005,390,316,807,044,791,672,740,736,830,176,590,469,948,061,958,
009,904,397,100,688,730,325,447,281,234,044,317,778,641,321,376,997,630,032,
566,898,854,562,041,380,217,549,509,184,131,714,760,307,967,535,639,063,212,
518,539,448,774,298,666,348,874,576,155,310,068,090,920,642,970,628,861,400,
350,982,530,205,114,188,347,183,408,745,903,415,105,663,298,793,774,307,845,
105,240,945,161,786,637,607,661,262,678,489,652,531,924,591,072,240,487,206,
512,630,993,267,865,381,569,067,687,864,105,781,307,751,343,508,075,117,433,
768,284,588,467,413,027,577,029,692,206,157,777,865,776,133,796,231,313,292,
877,608,835,704,927,352,031,406,720,748,341,726,296,355,931,549,087,056,292,
547,574,168,512,809,873,944,091,613,300,826,979,759,280,928,163,607,046,481,
294,492,543,856,984,976,117,049,556,236,509,809,361,773,130,043,452,139,624,
452,221,797,180,326,161,879,063,060,749,200,574,399,228,295,679,535,407,579,
766,739,141,565,138,253,010,846,633,729,304,477,636,718,783,137,324,546,930,
395,655,881,235,979,560,999,412,094,792,160,081,392,018,263,271,719,233,378,
747,370,235,813,350,979,261,145,177,154,487,555,920,667,640,259,226,382,707,
877,063,851,853,842,864,030,360,043,254,653,612,595,284,776,726,859,839,416,
611,564,514,540,217,676,184,201,329,466,063,862,061,899,805,893,159,537,039,
763,978,960,977,222,871,627,047,029,079,406,447,058,263,557,125,696,114,931,
059,686,653,977,268,460,602,661,531,653,043,827,942,873,797,142,618,817,332,
300,529,411,004,170,682,697,060,823,328,976,702,004,484,889,509,563,126,034,
370,595,513,158,394,434,447,608,507,258,697,926,317,898,308,640,100,793,985,
701,566,573,935,299,801,824,463,641,551,158,581,667,214,308,063,133,624,528,
742,213,652,109,462,174,318,714,149,434,261,655,677,996,083,623,906,092,318,
698,787,296,130,093,728,724,726,415,107,748,673,821,225,583,899,572,831,908,
122,012,314,464,975,215,695,029,201,521,898,970,701,980,915,747,858,958,384,
612,104,844,569,926,548,121,580,264,181,774,546,180,872,494,296,123,564,408,
415,126,056,146,592,546,061,660,209,926,567,532,715,032,135,582,451,478,502,
847,258,560,344,353,591,338,152,182,254,604,642,983,640,378,110,759,254,153,
977,592,506,890,601,566,787,207,150,158,501,246,033,088,988,139,525,596,359,
957,253,794,899,555,849,785,459,410,379,308,485,403,091,222,233,607,060,346,
127,095,082,432,210,926,282,794,268,293,394,700,884,378,457,797,875,519,383,
745,220,603,079,579,629,385,205,698,097,077,113,028,914,517,140,022,464,870,
373,538,154,304,603,458,019,850,549,776,378,788,299,126,779,274,220,760,597,
331,582,189,426,431,984,826,502,664,170,119,244,045,516,220,689,414,523,805,
382,926,638,722,234,231,182,578,560,483,762,363,325,881,570,843,249,298,187,
112,346,186,340,369,566,849,670,306,248,129,909,710,950,090,395,794,585,089,
003,757,627,653,316,274,542,166,224,715,215,157,973,744,376,425,690,978,599,
494,586,339,302,858,230,191,769,020,043,904,204,558,636,504,026,875,931,570,
703,042,022,304,019,518,258,097,340,427,491,971,939,608,803,346,958,513,850,
941,804,538,595,996,781,069,371,742,703,666,411,746,310,157,743,136,975,034,
447,899,615,597,634,631,691,163,946,972,057,203,311,341,331,145,948,012,923,
755,728,900,847,135,905,798,134,843,443,773,751,446,033,003,692,876,963,337,
772,237,242,718,050,934,990,504,928,949,555,998,819,906,175,132,283,254,280,
373,445,354,839,462,166,067,472,153,856,581,837,152,955,133,465,609,259,328,
493,082,904,914,712,191,169,104,396,190,822,823,142,989,452,436,937,164,730,
568,918,663,804,955,520,782,012,029,139,129,068,423,536,255,376,346,569,674,
519,424,508,645,215,606,971,226,844,226,481,140,791,843,793,947,042,465,353,
646,869,675,674,926,621,000,835,647,682,186,474,428,347,631,838,730,920,203,
236,512,357,612,006,742,969,160,573,892,421,512,164,870,329,440,650,786,519,
352,024,901,538,186,792,199,509,350,804,857,598,771,070,565,080,296,098,340,
300,507,836,838,452,330,537,679,147,474,178,350,775,387,083,397,559,307,981,
707,560,469,640,447,551,432,451,085,957,659,707,593,946,327,018,358,781,644,
179,142,107,022,910,962,564,226,212,971,873,763,424,810,119,827,974,080,319,
057,010,736,513,427,635,794,189,459,048,656,739,464,663,985,475,662,402,641,
828,266,933,532,266,750,343,588,163,720,673,704,833,993,284,621,961,891,493,
296,467,690,078,503,574,232,176,108,816,471,068,557,808,055,219,456,945,561,
331,803,698,587,963,436,134,517,498,290,383,925,540,648,345,481,584,475,306,
547,564,571,182,071,347,742,531,837,666,292,036,419,603,825,965,287,306,625,
994,840,866,188,979,593,054,791,217,619,305,972,898,075,000,133,621,315,752,
164,304,951,507,873,863,304,482,068,429,131,418,069,488,703,216,226,271,498,
110,255,347,965,346,587,278,701,425,830,665,894,636,627,911,938,578,559,761,
632,275,034,841,848,421,577,886,197,488,178,708,959,593,133,798,191,356,848,
877,464,253,655,437,711,917,101,514,038,837,956,020,427,896,141,864,214,688,
630,059,110,749,664,957,502,225,846,472,533,234,495,318,880,019,031,116,275,
301,848,569,948,349,030,171,432,865,992,238,109,495,579,343,837,751,494,872,
502,821,551,326,256,843,843,908,409,731,145,224,105,379,723,003,992,773,339,
691,793,000,424,044,854,048,166,649,344,012,199,997,785,508,865,765,822,330,
839,744,996,646,290,180,820,460,385,282,789,900,737,204,240,826,897,345,736,
150,568,792,735,830,470,092,415,024,557,752,203,761,257,924,969,139,904,692,
317,065,211,708,188,531,111,425,810,604,247,999,123,202,660,050,585,273,532,
631,859,484,516,845,294,308,066,682,084,657,936,202,478,901,181,040,335,070,
131,949,851,542,847,541,328,035,861,834,531,167,008,585,685,259,389,724,518,
505,712,970,757,478,803,801,110,031,683,781,357,898,866,820,532,009,528,945,
778,228,786,359,138,825,441,713,744,136,350,662,678,338,049,731,664,117,535,
240,119,572,385,343,518,304,122,719,460,791,619,827,070,440,533,723,666,350,
057,150,915,419,443,944,120,176,533,565,654,407,480,411,529,257,808,457,268,
847,870,402,896,127,865,821,083,677,093,318,900,367,706,792,671,574,370,556,
311,665,042,122,916,347,425,572,880,196,513,195,601,925,055,331,826,247,024,
998,658,136,734,913,524,557,483,276,984,384,649,807,836,429,339,565,717,480,
340,332,696,941,372,648,281,302,577,430,676,691,520,081,815,097,687,771,725,
546,792,940,134,003,511,885,646,065,190,074,952,319,256,728,688,902,659,655,
522,730,208,577,729,866,040,519,614,096,582,742,248,249,823,143,166,844,607,
062,599,311,632,427,625,472,866,013,429,883,193,390,737,471,786,861,987,421,
103,763,154,367,896,858,970,940,944,322,252,922,978,233,466,658,158,583,555,
594,655,323,735,239,099,133,718,247,710,290,412,931,336,963,373,371,579,189,
944,808,802,502,874,113,269,834,553,162,576,517,841,089,544,682,844,916,562,
030,715,643,987,880,795,202,334,747,368,136,652,329,110,492,873,106,147,001,
578,573,088,667,568,959,451,034,220,333,596,734,636,380,763,761,371,229,655,
375,071,651,791,441,902,054,190,293,850,376,097,509,877,913,029,101,463,301,
140,007,883,656,460,095,050,703,182,836,626,798,859,231,655,220,552,536,587,
629,192,431,844,957,547,288,706,630,496,579,673,908,260,536,998,192,439,680,
267,739,021,141,477,929,402,649,782,869,022,153,254,929,198,082,571,718,393,
269,167,681,558,364,872,755,882,893,427,629,221,712,783,765,735,711,503,364,
725,967,093,706,221,049,906,749,678,413,438,920,707,634,971,661,426,788,168,
581,532,042,621,082,807,295,508,285,795,063,993,475,345,261,444,537,985,542,
897,385,103,034,677,463,872,103,747,377,292,721,295,859,488,870,727,537,454,
777,015,620,783,472,698,368,344,633,373,228,680,700,395,466,229,339,556,916,
300,362,705,843,339,611,376,219,968,057,927,365,721,856,864,158,054,116,295,
516,223,296,331,295,030,772,319,829,208,336,978,319,928,053,419,354,265,482,
813,618,879,000,828,166,057,262,254,392,535,535,762,159,178,768,862,808,495,
699,668,596,557,562,387,250,470,038,257,781,404,787,493,346,608,534,639,790,
981,055,511,789,253,566,502,260,271,267,141,361,530,215,768,587,502,458,982,
599,825,111,177,894,394,325,965,307,521,396,599,461,379,629,317,381,747,064,
819,313,627,521,652,922,029,757,728,945,973,359,017,952,773,106,074,938,652,
732,022,481,663,525,023,218,537,953,874,929,729,468,297,923,907,409,428,258,
346,724,177,575,637,321,557,364,134,536,292,394,886,850,685,923,234,909,906,
820,167,692,650,544,348,962,789,487,635,370,077,147,807,948,096,800,850,562,
973,527,532,569,522,196,441,637,999,202,088,088,402,898,510,394,007,395,168,
655,300,808,605,107,865,038,971,271,054,266,991,825,462,287,080,043,720,203,
113,461,553,159,401,366,746,880,430,769,476,873,932,705,858,775,156,635,419,
593,934,941,581,923,161,391,906,222,793,308,016,381,733,850,451,843,301,035,
987,832,150,046,044,852,002,692,431,883,188,884,470,309,840,304,351,746,413,
006,186,212,412,155,607,540,685,399,501,386,716,492,432,283,700,248,760,672,
659,578,912,545,508,404,698,767,502,331,871,435,209,217,979,985,605,705,867,
266,009,040,578,382,170,708,984,305,481,961,853,350,392,255,084,090,585,007,
449,246,512,057,432,391,835,532,806,492,740,393,471,707,774,377,445,992,546,
871,063,877,393,543,441,255,844,883,784,860,866,098,142,569,525,801,981,900,
688,881,764,389,230,814,691,273,661,295,959,910,397,252,009,243,334,829,941,
091,823,247,856,821,750,393,169,375,869,404,317,188,224,687,734,624,876,553,
848,173,782,537,059,671,770,456,973,410,833,057,161,845,701,333,290,173,844,
612,861,204,431,812,639,641,025,953,624,021,332,604,967,535,290,532,567,155,
940,213,701,507,518,459,029,141,160,888,968,190,281,696,102,698,551,638,097,
214,215,458,418,510,574,332,538,978,018,228,451,520,355,986,673,217,622,924,
537,383,641,969,900,279,723,585,326,875,492,415,146,309,039,880,893,152,933,
168,579,053,431,858,161,607,346,601,481,098,286,075,498,377,302,874,913,298,
415,854,674,003,996,449,125,978,261,616,896,525,449,717,938,327,699,697,325,
010,451,144,225,762,935,441,832,821,694,556,930,966,051,405,534,071,878,534,
045,256,503,116,600,361,884,976,074,228,110,795,735,824,477,782,085,405,991,
765,518,368,377,553,233,647,692,406,611,598,547,226,919,104,007,156,824,879,
343,126,793,970,528,176,565,879,823,484,658,545,001,255,491,245,455,212,775,
135,602,677,187,073,216,858,221,573,626,713,070,716,549,479,190,133,237,870,
120,799,255,136,331,449,862,203,170,942,002,290,924,444,327,104,633,807,378,
550,292,364,112,358,074,217,618,847,919,378,841,174,207,538,193,759,570,630,
459,655,225,199,617,862,580,639,619,107,155,549,761,636,975,777,705,580,725,
734,651,530,862,760,702,989,610,564,830,310,585,233,589,942,455,153,890,810,
971,571,364,076,846,598,077,856,362,853,639,526,264,435,827,211,712,250,323,
280,457,378,981,376,970,737,790,056,811,384,341,503,843,424,820,409,691,149,
766,556,789,089,083,458,768,572,177,660,567,202,253,671,628,504,043,071,703,
053,824,920,783,292,175,744,821,206,829,853,306,343,000,490,978,925,239,101,
522,145,441,155,653,945,165,786,460,700,424,628,776,867,292,094,243,913,302,
354,592,357,629,122,698,353,770,481,135,314,825,295,951,246,177,469,522,254,
782,127,130,757,324,775,686,923,489,302,164,349,153,561,884,122,506,101,872,
720,810,772,175,902,227,212,736,744,823,642,570,975,494,633,892,822,144,179,
317,655,711,002,389,893,892,334,462,414,954,902,131,779,745,126,079,750,386,
829,297,810,252,639,740,543,350,504,177,415,721,271,021,873,943,872,519,816,
760,763,341,415,936,905,329,946,422,251,861,294,870,790,625,835,404,016,246,
813,484,144,494,237,589,636,904,165,911,132,219,053,104,888,406,117,118,768,
909,466,893,648,298,469,603,898,089,254,860,531,370,943,838,244,481,772,000,
553,357,828,985,736,583,924,776,706,386,591,714,149,571,293,988,242,656,713,
378,514,224,005,800,499,324,788,733,186,882,126,383,883,715,751,142,942,659,
075,143,986,133,912,372,416,094,401,445,598,584,789,356,002,505,513,311,641,
296,741,600,789,521,979,034,007,632,331,732,417,349,680,593,658,996,872,321,
309,518,730,754,398,802,494,765,076,870,921,290,562,930,185,027,241,739,633,
233,961,295,020,509,032,344,822,442,066,976,331,733,645,140,618,374,031,927,
956,503,188,892,792,772,211,127,673,456,597,239,150,956,723,990,800,627,515,
213,109,256,620,722,971,953,953,127,171,253,490,029,670,977,634,543,684,217,
679,194,845,287,636,682,431,100,138,411,196,851,553,238,813,822,194,768,214,
088,650,346,735,851,425,446,473,380,217,534,090,040,332,700,095,373,824,741,
961,127,597,651,417,881,771,614,338,176,485,846,355,090,597,899,250,028,253,
023,547,809,523,258,665,445,498,817,834,135,494,138,519,171,695,456,149,151,
557,733,135,568,213,139,010,325,857,703,951,190,962,533,013,466,315,986,648,
181,051,744,149,446,914,354,003,821,478,966,516,423,777,542,532,878,026,380,
949,828,806,054,178,349,678,502,169,432,839,704,538,029,539,334,396,758,443,
773,169,687,120,938,599,577,917,732,032,842,810,246,423,860,092,510,610,539,
616,568,117,472,195,266,085,741,545,483,172,785,855,161,156,587,468,485,387,
401,498,344,156,121,946,348,292,939,726,369,874,212,215,512,478,951,037,356,
559,454,457,464,643,530,895,317,509,929,320,623,522,959,565,568,744,618,702,
575,624,894,804,368,395,141,652,891,173,751,709,710,403,419,033,587,858,052,
675,132,756,101,835,060,461,832,077,485,954,060,472,547,795,154,993,641,500,
123,347,548,874,702,458,703,226,304,338,277,021,349,040,524,982,326,258,106,
092,176,121,880,871,940,892,356,049,127,255,708,787,191,974,671,794,801,844,
697,158,442,274,417,328,278,421,320,897,026,576,386,377,168,659,431,436,102,
920,056,100,006,984,578,064,715,824,486,376,649,669,478,738,588,650,724,537,
722,756,393,046,819,772,410,087,338,052,138,471,017,286,143,324,199,722,057,
142,532,707,045,116,228,188,175,684,380,659,166,482,052,696,769,784,523,307,
500,744,345,034,693,653,994,667,014,272,970,354,835,337,402,221,949,308,153,
296,226,299,195,126,368,775,174,884,470,602,551,882,413,021,131,869,911,617,
659,616,108,182,220,315,552,179,274,909,957,795,609,955,475,739,989,931,283,
570,748,387,651,942,383,201,509,579,644,177,156,915,585,842,427,444,319,527,
882,105,791,388,047,391,843,677,799,422,573,522,902,214,325,806,123,456,858,
296,579,549,707,564,525,662,849,098,115,393,544,524,465,424,271,881,118,348,
008,314,982,361,627,724,355,514,914,267,479,816,494,680,759,322,227,741,481,
285,255,981,589,832,327,639,634,813,859,998,254,061,213,012,297,091,963,337,
417,916,333,812,263,132,861,092,667,922,571,879,940,779,402,815,487,795,422,
453,825,924,395,382,501,994,099,052,430,186,410,119,336,333,720,938,653,304,
467,124,271,039,330,585,039,229,307,077,911,925,750,237,166,431,294,151,975,
202,088,907,683,714,922,605,756,023,357,126,461,163,899,776,871,572,485,049,
746,550,333,562,020,381,143,063,636,518,137,786,148,193,524,989,005,238,422,
719,863,696,390,074,569,133,692,743,072,639,183,741,650,448,933,684,542,036,
436,069,710,146,698,203,980,361,294,500,780,581,664,206,410,439,816,670,324,
085,126,042,841,780,121,637,074,018,907,802,241,912,974,551,745,855,494,812,
395,442,289,484,199,716,534,395,681,178,865,744,791,746,449,532,689,731,813,
467,916,273,188,022,749,392,650,252,958,016,790,598,390,498,852,786,549,773,
166,170,622,192,586,760,065,326,270,613,960,475,150,027,311,545,202,001,090,
748,962,243,449,870,894,957,800,268,936,032,624,272,506,474,613,804,878,429,
096,535,519,534,718,050,332,140,316,088,102,082,063,874,622,407,250,938,504,
106,010,286,430,448,839,652,197,674,898,737,631,690,614,888,209,290,714,606,
361,113,256,696,934,114,088,730,871,205,550,693,978,928,152,017,118,974,142,
864,111,883,901,617,302,681,906,532,518,460,983,748,749,727,412,008,021,694,
997,259,919,800,823,225,103,857,880,996,116,315,239,580,597,265,088,790,614,
364,154,215,798,949,920,809,555,000,922,938,641,186,198,343,136,225,972,431,
126,629,683,664,784,606,619,871,508,306,762,297,981,091,051,981,202,376,633,
336,567,052,212,015,251,490,233,190,102,505,482,349,496,669,385,247,901,143,
081,954,338,498,495,719,527,821,844,009,383,864,934,180,133,771,401,785,309,
330,346,997,442,624,018,114,468,871,624,107,935,807,472,028,577,101,990,277,
086,784,603,749,204,164,175,681,109,879,000,226,779,294,497,854,837,328,285,
833,950,580,873,862,885,715,546,116,547,676,066,908,569,584,071,993,934,950,
094,309,487,435,775,849,443,156,735,974,394,105,804,444,697,850,685,730,390,
601,034,676,528,343,702,134,171,442,990,736,097,140,119,991,345,934,997,355,
983,742,592,593,033,827,970,499,130,784,182,290,445,224,329,068,344,195,814,
218,539,310,621,855,693,276,419,115,391,235,549,454,345,273,144,514,430,336,
662,525,633,046,197,414,538,763,130,644,866,120,181,561,353,471,507,690,471,
394,079,830,032,434,862,964,810,069,402,705,401,500,256,158,307,362,354,222,
365,072,810,465,185,330,714,068,755,363,800,880,629,818,664,922,238,431,757,
862,015,305,616,262,437,670,279,252,903,410,525,335,244,395,815,755,292,893,
753,183,854,929,421,301,948,044,142,377,060,128,150,018,085,829,716,358,600,
465,339,767,603,189,460,703,276,915,081,851,040,393,443,778,844,932,537,331,
252,520,197,597,112,907,720,382,239,272,227,802,426,268,316,422,856,531,435,
962,896,433,984,262,698,490,579,843,532,876,620,022,693,095,274,812,648,763,
146,735,444,201,628,340,003,394,643,150,242,581,379,993,120,372,217,544,442,
116,811,184,803,489,066,309,089,760,518,751,005,737,992,580,999,973,872,394,
628,697,034,071,685,131,664,755,010,183,191,198,048,258,059,586,690,044,747,
745,811,874,912,113,909,388,424,655,960,217,473,582,380,646,728,876,687,233,
217,369,892,661,233,878,090,697,201,142,548,061,667,694,880,386,471,875,380,
903,360,468,240,301,414,864,096,267,447,556,063,024,952,916,308,746,441,897,
282,510,841,140,246,997,033,031,279,325,336,983,121,292,513,002,451,937,362,
199,552,949,870,408,835,120,361,639,148,582,009,592,715,560,819,195,137,210,
329,061,693,972,761,939,856,309,649,855,936,110,058,153,620,805,223,794,224,
253,329,054,383,899,712,268,144,433,202,107,312,146,819,128,486,289,573,916,
428,555,748,273,911,619,053,300,714,608,990,033,622,941,753,466,946,791,577,
671,675,202,231,848,395,515,708,845,258,603,442,632,530,524,704,940,586,679,
362,347,703,191,696,233,504,833,756,022,074,605,683,903,308,532,454,697,918,
897,385,472,982,037,456,443,472,929,138,437,698,443,805,390,237,298,272,042,
915,464,965,012,592,347,527,395,574,337,114,675,718,212,978,026,871,440,852,
885,322,849,422,829,453,503,564,023,368,163,872,109,349,088,391,288,413,414,
520,510,681,895,662,872,765,084,809,708,473,892,735,954,917,632,940,039,380,
931,211,558,863,053,041,143,855,309,723,871,950,149,020,529,661,972,469,471,
136,314,398,174,880,877,325,544,170,991,983,059,657,752,738,238,944,336,918,
387,999,900,409,997,926,601,780,825,572,054,688,069,168,328,122,324,489,617,
813,364,394,707,769,934,930,094,353,130,025,290,876,517,101,478,795,332,074,
844,129,375,602,570,413,065,772,027,879,669,665,029,887,344,638,614,888,776,
002,139,807,602,550,419,552,126,931,550,568,699,904,074,560,261,265,984,124,
120,123,963,638,893,635,471,748,423,908,297,391,542,562,524,099,577,939,555,
692,680,150,581,940,865,821,592,941,801,105,388,350,796,923,775,895,179,998,
652,720,729,225,580,266,562,658,047,836,613,886,448,860,807,116,489,810,296,
490,012,155,254,471,379,018,077,171,314,756,393,002,576,074,539,268,279,035,
574,955,601,497,079,923,598,553,062,550,769,186,377,895,555,216,066,733,787,
917,355,617,513,872,399,792,082,579,157,952,235,257,897,731,876,338,734,565,
334,652,297,967,047,833,244,542,652,725,169,944,044,544,089,890,317,172,290,
899,524,516,052,243,087,523,668,394,535,534,877,508,777,838,083,923,641,481,
787,449,903,187,896,695,354,260,325,985,693,223,327,063,143,009,932,094,859,
794,594,885,808,662,986,716,706,111,629,836,616,468,505,419,031,014,075,953,
995,209,034,958,399,810,185,863,509,687,586,894,102,075,620,294,561,694,702,
220,421,601,156,952,710,795,461,572,794,062,444,807,977,595,622,202,832,021,
434,868,455,459,571,365,431,992,002,613,420,752,376,734,933,653,831,065,674,
087,415,475,509,115,203,235,030,103,053,416,104,093,458,296,410,470,823,620,
028,792,615,984,649,844,858,427,376,608,941,696,682,304,556,512,762,444,007,
819,715,629,070,942,119,449,486,270,698,566,020,425,328,356,835,448,044,589,
837,759,464,745,678,217,466,003,534,247,901,761,081,813,994,014,792,801,707,
661,865,871,395,020,672,977,438,563,090,577,200,105,823,911,261,824,327,640,
616,827,300,874,499,465,249,701,037,124,736,258,083,575,671,973,441,153,199,
103,540,693,572,651,333,840,330,041,499,559,085,851,066,381,122,544,827,402,
719,697,652,152,204,795,894,787,302,290,631,179,594,622,778,383,945,548,504,
504,453,694,577,778,676,598,432,478,474,010,149,344,472,866,562,035,138,122,
950,524,013,815,603,084,647,704,599,548,444,139,310,524,983,522,778,738,190,
798,528,909,324,449,790,148,888,861,410,710,265,315,282,145,617,674,119,983,
942,313,844,235,055,708,716,099,440,447,487,141,453,879,655,915,964,721,947,
699,308,678,847,363,934,353,853,155,501,440,638,993,942,811,643,149,105,216,
527,422,468,869,127,223,798,252,471,599,591,582,407,371,071,629,789,450,777,
297,490,676,038,457,929,476,699,898,292,923,620,814,686,139,511,127,957,333,
087,414,125,452,579,761,699,064,658,657,882,162,012,256,564,647,051,530,170,
648,905,351,476,012,863,858,070,691,584,486,009,403,730,035,396,272,945,721,
986,642,802,179,069,144,816,099,152,676,060,626,715,638,366,906,626,723,535,
230,090,548,756,547,334,114,180,223,875,232,923,256,108,162,039,666,586,021,
676,485,908,338,050,092,309,392,354,002,587,351,637,856,241,570,317,329,391,
934,407,920,701,273,215,981,626,740,130,158,196,672,102,706,769,520,183,431,
175,607,503,027,285,163,866,684,665,810,046,640,945,650,794,068,041,370,498,
454,574,363,610,209,685,261,806,241,931,938,232,737,033,903,793,620,572,887,
890,195,031,921,886,263,212,313,381,814,646,470,954,703,943,008,099,123,031,
048,090,093,235,618,355,493,330,809,598,809,861,839,942,280,174,104,223,125,
777,482,101,107,650,449,184,817,576,380,867,859,986,412,075,635,832,545,337,
648,684,349,955,483,817,585,870,278,994,677,797,872,236,916,073,496,833,237,
620,444,884,600,054,496,024,876,079,927,878,661,492,544,328,816,337,554,363,
165,804,803,400,866,305,109,447,361,429,741,563,144,453,681,309,496,090,260,
584,060,880,138,143,643,578,885,247,183,382,625,752,533,884,415,329,041,262,
289,596,902,598,383,753,487,238,668,910,242,302,464,284,028,292,347,691,395,
745,690,948,215,770,553,521,843,829,978,005,518,122,674,333,485,751,119,510,
276,804,579,898,586,244,739,579,005,232,716,793,026,147,013,519,759,058,843,
834,017,782,734,043,592,025,107,714,003,270,380,662,568,812,143,229,423,085,
811,921,319,340,172,800,754,906,913,970,285,751,656,109,544,141,081,483,267,
564,495,617,889,485,043,212,890,515,657,010,318,519,286,628,442,799,250,198,
638,016,897,744,556,012,186,339,265,815,830,703,503,389,559,740,193,440,347,
315,644,069,533,902,763,314,763,874,574,167,735,839,169,148,781,403,345,790,
432,722,250,660,630,391,094,851,470,355,163,521,668,568,921,798,197,228,665,
931,749,662,844,917,727,733,095,806,796,427,597,508,365,584,430,511,334,206,
030,709,307,239,422,229,501,549,000,906,445,665,988,988,836,447,894,459,545,
299,376,890,007,247,408,943,935,208,767,442,848,056,951,034,871,330,237,216,
924,859,077,973,756,508,143,501,518,643,217,758,244,822,993,542,146,449,008,
787,589,982,955,670,621,069,210,721,137,737,336,150,692,399,583,762,400,919,
161,330,614,727,810,676,083,332,653,223,526,342,331,064,551,779,686,071,180,
090,810,713,039,852,378,474,865,279,705,424,552,613,814,408,956,989,384,746,
111,942,146,818,407,157,176,669,546,254,419,263,774,677,637,335,287,276,815,
151,789,278,868,285,808,251,753,094,705,978,360,110,559,778,483,388,802,811,
622,783,990,576,638,276,044,721,716,922,342,619,862,807,471,377,166,589,297,
805,826,993,677,812,364,570,812,762,321,352,963,124,809,285,448,433,767,883,
030,120,917,613,591,472,571,409,259,476,232,666,007,683,700,895,905,599,663,
349,916,866,542,695,570,425,471,044,357,632,708,283,686,132,395,211,675,476,
363,745,755,220,238,389,320,846,562,219,565,080,684,655,047,462,019,196,379,
903,415,500,630,135,184,164,284,760,510,204,659,896,722,862,539,728,982,600,
030,901,263,917,983,626,824,374,597,398,009,751,318,096,963,593,856,267,157,
690,443,806,006,903,888,300,439,286,255,190,646,833,168,186,865,676,600,722,
543,050,791,576,542,733,725,327,610,383,628,997,027,743,388,173,909,085,266,
709,762,636,059,893,528,596,980,795,596,550,152,548,663,676,898,110,384,862,
696,410,840,036,868,200,639,124,763,058,230,177,046,267,909,370,311,795,308,
005,709,876,090,126,970,168,389,489,820,296,437,160,649,488,218,643,551,922,
559,000,594,003,375,779,000,896,473,006,488,241,360,113,909,298,497,600,725,
526,164,044,564,504,435,243,012,264,753,253,246,178,606,412,304,006,976,247,
309,060,803,261,345,161,605,842,786,524,665,771,391,436,425,677,809,044,860,
214,959,904,782,727,942,605,674,370,957,536,765,173,867,057,209,567,017,476,
403,567,897,986,107,531,058,175,858,604,524,313,752,037,666,842,707,741,787,
283,660,248,665,383,868,347,867,331,090,234,563,707,465,283,803,429,148,972,
165,843,433,057,913,141,734,785,437,067,490,354,050,446,843,492,810,770,820,
384,292,256,997,871,806,193,703,998,674,721,072,377,056,801,093,844,051,349,
511,323,970,243,640,926,206,702,421,701,346,890,781,561,031,617,490,469,651,
569,566,978,378,251,415,407,896,404,113,088,251,656,432,892,843,599,077,349,
921,721,628,993,356,036,540,478,819,250,712,402,459,750,406,250,665,838,469,
422,733,411,276,628,447,592,726,607,843,740,266,752,818,712,322,708,448,555,
711,286,615,859,307,811,558,410,404,474,350,119,958,199,238,199,626,205,019,
282,903,446,946,731,012,174,494,399,131,282,892,202,288,024,936,761,684,368,
049,364,966,167,854,053,807,849,448,375,805,094,675,872,302,906,581,527,294,
296,552,448,217,453,426,942,797,421,988,995,441,967,956,679,377,636,882,469,
332,147,220,845,261,367,999,626,243,772,039,609,290,456,435,405,232,164,918,
336,688,657,077,728,990,301,178,388,413,025,112,013,307,624,576,232,920,030,
610,858,480,420,750,317,965,772,994,442,448,037,585,069,021,550,234,148,437,
031,739,901,032,788,366,761,893,363,924,124,766,668,427,457,613,833,749,071,
164,661,795,966,133,004,188,176,141,209,242,606,537,842,594,708,662,418,155,
050,371,970,042,278,116,349,083,102,513,671,833,402,803,361,969,937,046,265,
028,791,569,805,848,177,051,316,553,357,319,133,167,799,842,305,187,369,715,
455,014,205,583,116,627,136,578,122,720,680,114,175,532,932,697,579,541,930,
464,741,182,968,527,665,991,289,225,383,247,873,396,768,854,138,942,913,016,
256,640,715,672,125,953,617,950,653,583,174,106,709,273,500,965,628,154,241,
787,833,301,997,931,713,102,233,337,337,310,873,742,673,700,390,713,728,693,
093,824,771,357,491,241,447,147,033,468,127,239,571,968,061,446,335,348,217,
062,323,804,501,595,469,001,517,849,805,383,947,463,205,288,600,146,504,756,
013,437,085,820,027,568,424,258,091,844,869,055,277,086,436,808,080,239,695,
471,225,909,376,725,948,758,277,641,683,635,570,899,137,019,726,486,980,889,
576,594,713,424,463,601,937,007,264,235,431,989,965,527,843,418,605,559,116,
917,099,043,999,709,620,484,313,427,246,086,195,758,733,702,713,198,106,892,
620,493,964,689,635,545,830,197,993,094,947,702,321,004,575,899,491,746,916,
073,172,090,695,944,659,060,491,599,420,140,766,787,004,799,829,186,387,041,
060,482,231,147,772,510,918,049,678,641,400,566,271,119,364,944,226,129,018,
103,646,470,669,742,081,920,441,898,004,347,397,661,229,946,770,325,384,917,
805,122,792,305,587,015,671,100,716,926,110,555,269,113,248,145,663,199,369,
643,824,471,636,193,628,605,065,246,233,376,300,504,074,070,282,226,455,815,
980,615,321,671,453,989,985,448,840,586,257,541,554,878,194,949,430,984,557,
728,163,479,081,861,388,101,384,478,637,002,180,792,581,531,247,108,494,788,
684,392,347,550,709,685,145,372,338,474,670,745,457,918,739,289,203,504,925,
423,560,828,127,314,366,240,805,870,855,314,538,397,036,426,296,431,205,419,
678,233,339,097,073,208,788,518,515,650,592,468,718,472,024,859,610,915,530,
756,208,739,465,163,218,481,007,569,185,336,654,415,091,806,265,523,901,985,
875,721,141,631,449,796,402,257,598,067,979,699,050,004,397,849,133,778,501,
116,418,685,815,833,692,700,958,100,673,186,720,557,790,876,367,410,015,794,
381,721,809,408,264,405,494,198,783,201,879,503,199,857,356,505,658,734,970,
162,585,978,650,111,508,627,189,139,954,449,083,906,339,970,947,134,560,322,
716,730,223,088,329,477,832,957,846,477,869,956,130,563,844,979,243,176,966,
448,080,524,311,845,109,149,380,511,378,046,610,479,049,038,274,715,529,128,
889,542,711,330,856,999,193,369,971,909,740,472,052,124,491,566,234,696,429,
042,431,984,658,039,094,205,458,125,718,638,069,218,163,017,283,749,879,163,
379,036,437,964,467,396,124,437,105,607,495,769,839,700,305,564,711,193,642,
812,858,584,226,004,671,201,678,595,618,268,934,708,471,941,563,004,435,026,
412,582,317,026,427,620,632,452,828,589,369,224,836,101,998,704,516,509,158,
915,314,775,007,637,036,359,992,691,323,326,589,462,370,267,778,716,796,208,
876,866,881,650,747,715,564,088,880,467,605,446,554,977,775,338,038,738,840,
077,211,932,704,472,686,269,109,592,783,693,671,808,082,060,068,832,362,771,
702,545,018,940,176,884,393,218,317,521,671,406,830,099,283,045,288,123,186,
755,335,964,604,184,512,412,765,441,029,809,970,249,669,247,924,311,067,288,
094,458,682,961,822,165,456,464,611,154,204,006,933,346,168,019,010,955,730,
376,505,593,361,464,747,792,647,964,400,878,062,535,896,271,784,277,641,992,
383,077,738,975,386,898,673,201,923,200,585,193,697,137,404,534,596,410,250,
193,441,464,957,179,475,919,136,591,810,278,547,972,246,833,404,952,221,297,
326,210,863,442,076,923,355,305,116,353,732,375,059,234,303,389,481,310,331,
094,711,286,214,152,402,746,786,818,494,243,336,309,785,926,860,957,134,543,
381,693,564,332,308,793,176,868,917,779,998,316,533,483,444,370,575,888,478,
243,884,034,641,200,952,368,728,010,656,900,577,246,811,635,933,219,260,003,
119,178,232,707,431,030,921,663,280,009,505,927,276,824,720,361,333,146,729,
751,971,446,491,923,308,828,406,356,652,530,008,568,404,608,868,735,725,794,
246,611,903,249,673,920,435,383,071,241,139,238,249,578,532,245,432,084,773,
161,751,685,603,654,633,794,429,229,938,698,419,956,430,895,144,329,312,613,
702,047,606,635,887,652,536,302,887,164,890,521,693,240,286,188,497,781,432,
671,927,020,275,244,394,409,448,121,734,496,969,254,469,210,442,103,832,800,
826,677,474,712,246,788,999,700,149,389,454,974,251,543,864,854,987,546,085,
042,735,269,660,401,699,242,892,480,459,558,715,545,518,066,514,154,266,149,
116,018,757,802,721,800,070,846,699,457,946,872,614,256,523,347,926,530,474,
241,664,156,287,702,352,294,013,858,662,153,529,999,210,927,503,311,841,132,
231,018,553,944,345,193,088,073,048,422,231,626,895,490,424,420,041,917,177,
007,369,534,707,850,750,944,756,784,212,418,387,389,283,654,889,185,090,194,
234,587,649,542,533,358,008,851,553,862,638,784,419,920,427,293,656,274,260,
970,645,814,335,628,483,924,894,368,226,133,586,840,022,847,749,548,599,009,
209,974,389,170,658,854,249,368,944,730,867,762,876,798,924,051,327,148,008,
090,202,813,020,870,761,041,741,346,191,071,145,374,519,182,114,175,363,449,
160,396,621,858,964,400,707,141,268,720,599,426,415,392,237,632,413,954,838,
516,604,633,928,196,666,609,574,032,244,757,461,781,872,035,067,286,137,643,
798,213,096,740,230,897,182,003,117,273,655,183,315,114,718,919,148,450,944,
076,880,504,941,441,615,558,255,249,922,780,597,935,253,605,891,021,358,604,
542,170,750,913,496,338,488,146,443,667,334,184,737,542,919,278,383,161,166,
811,084,163,654,020,280,033,137,752,853,426,985,978,939,161,939,965,303,817,
545,632,712,988,541,044,537,506,412,201,076,277,713,924,919,526,439,006,950,
540,728,628,771,346,188,036,514,871,203,593,171,693,495,016,860,008,014,429,
138,336,492,660,425,632,505,142,799,200,343,365,713,564,251,373,332,596,513,
114,446,300,734,882,341,825,688,518,354,716,910,127,128,193,808,410,773,369,
068,130,309,768,971,597,917,363,105,608,680,710,405,013,757,526,829,651,148,
294,092,064,530,324,506,305,432,737,141,458,311,135,301,517,667,317,149,111,
593,848,495,212,361,038,768,854,997,738,527,061,516,338,155,931,570,970,259,
919,677,723,748,570,452,737,000,889,089,050,825,404,883,993,299,275,885,844,
305,085,435,813,618,665,617,350,136,691,931,738,275,670,182,923,871,316,678,
083,988,693,855,805,925,214,922,049,017,499,645,382,237,487,214,137,162,033,
886,067,749,836,340,058,069,315,482,279,842,079,477,399,746,794,866,708,151,
882,551,965,366,438,452,211,020,495,414,372,025,440,309,251,683,447,617,963,
830,309,609,840,185,082,990,121,731,263,877,413,090,825,890,198,964,376,489,
911,409,159,228,561,976,291,441,803,138,227,023,794,852,603,307,684,997,923,
278,240,173,204,456,264,760,526,856,297,118,786,022,420,754,595,057,465,152,
488,106,378,266,434,334,038,771,357,226,519,449,596,990,386,463,908,752,456,
016,544,308,803,787,733,833,769,164,081,756,065,273,276,236,073,828,570,291,
876,817,897,971,566,830,412,148,225,743,310,818,677,693,642,237,483,212,777,
090,054,095,095,692,592,906,090,297,697,511,649,554,618,251,702,339,064,584,
209,166,895,682,992,023,130,504,644,797,195,901,566,553,126,827,786,647,501,
119,631,531,330,984,205,740,298,924,109,217,291,643,379,085,265,157,502,976,
038,617,404,765,057,097,373,193,374,767,796,015,020,462,243,833,112,005,391,
288,938,480,483,597,127,809,298,332,785,046,121,139,484,659,255,816,177,257,
439,747,594,876,524,740,033,275,950,699,948,406,411,078,154,101,634,291,158,
013,595,750,335,092,735,821,275,786,088,292,721,582,146,679,684,190,125,022,
963,014,984,186,713,899,557,058,229,792,823,878,125,024,432,437,482,022,111,
959,093,394,462,095,679,160,155,667,167,676,422,070,119,116,117,541,555,363,
167,913,068,921,064,855,142,112,383,415,006,128,987,529,371,666,407,972,484,
591,615,176,255,899,771,109,619,403,528,419,624,271,453,100,829,245,356,936,
992,676,606,693,598,801,578,065,194,660,721,105,881,188,053,546,723,359,547,
575,549,679,076,187,223,284,438,825,600,013,314,330,135,372,641,840,487,834,
134,291,087,447,611,007,710,659,745,215,618,765,900,459,748,563,106,870,643,
749,053,747,356,237,001,496,011,046,147,759,025,909,092,888,202,267,628,903,
509,927,407,332,299,002,024,779,286,976,083,752,012,181,134,987,494,295,402,
489,617,599,172,247,822,387,520,535,008,727,476,788,267,272,127,056,140,510,
741,309,510,891,252,179,719,341,450,877,191,647,727,555,801,274,339,578,265,
866,331,263,120,567,099,792,393,572,825,646,226,468,988,797,220,456,824,887,
370,274,213,015,475,375,028,460,072,269,366,025,800,491,198,318,736,841,201,
467,272,436,196,354,648,187,025,954,724,873,614,708,336,390,171,348,222,073,
454,293,794,598,675,144,357,367,129,136,155,337,803,485,577,510,676,069,894,
468,323,302,098,285,239,332,312,600,513,786,457,131,910,652,235,924,107,651,
044,529,895,020,412,922,227,855,270,600,294,527,417,394,732,517,180,832,833,
038,576,812,266,091,182,265,927,848,345,996,864,292,141,573,839,235,658,591,
844,528,849,815,266,684,927,442,336,574,677,728,149,989,903,228,708,176,318,
909,572,342,759,831,997,174,593,566,291,660,686,324,873,440,887,093,335,107,
375,436,320,415,204,163,520,799,711,853,789,298,331,771,719,662,420,561,307,
566,376,049,529,666,713,973,571,127,957,690,653,983,541,316,965,559,896,137,
016,455,911,472,334,473,943,823,595,094,649,087,222,392,523,133,946,336,565,
685,897,734,749,201,922,666,079,605,393,472,614,103,792,417,484,317,649,425,
382,058,264,025,500,572,292,101,247,652,614,748,774,241,007,593,697,967,234,
394,747,192,057,140,626,807,800,976,507,894,681,761,554,768,851,426,648,119,
166,114,810,822,944,679,081,582,499,635,345,257,666,416,113,703,895,093,704,
941,754,038,604,474,839,654,729,415,270,165,619,633,192,076,794,400,147,402,
960,398,734,434,035,808,826,752,437,013,211,437,914,528,494,559,965,209,502,
393,420,789,885,284,074,916,477,025,049,461,026,099,258,248,955,564,193,295,
357,759,117,524,398,946,061,588,433,139,146,348,348,674,271,844,795,636,314,
319,697,313,586,508,828,627,403,586,999,539,348,402,506,070,516,136,918,673,
813,550,961,092,185,986,483,397,232,892,784,342,370,543,642,989,835,524,723,
719,135,725,684,690,067,220,134,399,606,310,951,161,314,426,432,776,919,404,
303,749,359,570,196,518,318,842,790,123,091,096,155,751,699,971,924,709,473,
638,267,530,828,299,946,049,166,459,008,353,960,099,339,285,066,288,693,235,
338,798,594,046,905,825,483,908,405,276,565,076,031,390,033,222,412,525,311,
584,989,357,526,477,687,441,598,745,685,754,697,350,619,674,368,236,505,742,
341,022,555,140,795,120,042,181,203,092,998,980,370,424,336,309,721,783,836,
987,203,327,852,803,282,495,509,073,978,901,169,527,956,006,563,310,062,744,
461,709,353,344,865,172,067,998,064,854,230,159,479,793,338,603,564,333,722,
934,880,960,639,259,447,370,163,145,266,604,300,380,252,779,361,569,508,479,
496,297,792,762,223,624,559,500,815,082,617,283,627,744,123,589,174,991,381,
724,566,855,250,906,085,842,976,375,447,231,088,713,558,373,729,154,244,224,
396,201,309,287,119,115,955,306,632,715,351,047,142,633,007,455,095,689,266,
400,551,960,796,343,267,932,291,945,224,288,453,047,750,270,813,707,324,906,
454,436,613,073,811,062,057,192,781,667,713,088,700,617,278,154,285,379,170,
435,022,223,188,826,211,691,050,080,898,578,115,847,083,586,956,050,731,468,
618,706,763,748,378,379,774,938,406,305,126,316,804,343,997,546,141,097,277,
645,485,572,864,829,154,184,527,372,697,298,770,395,188,184,775,216,128,588,
099,264,650,748,947,364,783,595,338,622,735,621,024,312,189,477,086,425,251,
493,781,879,329,468,963,159,033,437,455,633,825,958,365,697,403,102,281,809,
227,369,575,271,206,890,223,966,168,575,366,620,619,958,995,221,465,444,315,
805,926,865,404,929,111,510,059,178,706,718,074,518,003,401,996,406,860,773,
281,476,403,454,281,994,804,689,574,300,790,835,014,349,390,757,286,988,469,
692,934,160,895,056,563,096,980,921,911,930,701,198,193,423,067,752,705,276,
484,225,321,137,481,825,947,147,035,680,473,998,815,675,615,987,777,269,617,
336,896,516,406,719,991,702,131,216,090,439,386,391,605,866,509,556,997,405,
278,290,522,995,440,738,082,947,204,534,092,284,377,597,131,143,528,024,639,
275,408,433,469,787,977,297,605,516,561,078,360,783,188,878,434,075,641,874,
140,775,459,410,248,888,808,080,288,535,597,522,248,547,432,516,326,653,332,
854,006,875,146,121,859,445,526,413,901,246,678,093,869,514,564,148,995,629,
757,573,984,938,947,849,222,503,367,692,319,470,396,252,623,253,200,714,399,
774,742,331,088,031,227,945,869,507,222,745,358,164,197,423,593,483,834,312,
814,065,131,691,909,602,512,725,287,709,353,981,518,113,503,008,428,104,080,
660,366,285,794,257,964,518,774,947,338,620,776,678,661,553,729,032,832,313,
761,947,452,113,515,708,607,630,607,957,832,104,805,652,254,881,679,818,982,
623,488,350,599,225,724,420,607,901,928,523,807,791,320,934,950,195,054,198,
705,544,227,500,001,081,112,243,563,128,556,523,477,034,475,522,692,964,676,
730,090,076,812,085,861,169,890,920,445,271,891,588,791,208,682,776,652,361,
481,565,503,234,595,246,512,838,264,492,601,190,270,247,305,581,667,383,321,
208,548,954,764,920,367,986,784,867,560,038,021,519,084,039,276,496,546,014,
257,109,569,839,160,087,277,091,113,928,097,931,791,795,689,467,368,992,482,
826,442,853,309,321,341,616,909,377,193,432,102,002,865,790,270,078,714,632,
831,946,136,439,991,392,474,857,823,072,529,367,332,665,345,922,058,269,377,
243,456,414,450,901,991,239,988,947,328,721,710,640,501,133,571,000,663,371,
169,080,154,569,127,973,892,333,314,808,409,374,468,029,721,068,177,517,604,
747,352,554,154,515,419,710,418,646,445,391,843,496,928,712,174,215,759,995,
301,137,314,107,733,873,807,625,225,950,585,668,769,347,093,740,896,252,030,
700,023,221,787,666,380,348,828,776,662,683,628,797,653,453,782,796,971,177,
449,570,968,538,086,576,876,441,419,364,294,414,671,912,947,997,582,680,536,
360,383,473,005,117,366,943,066,073,317,553,418,039,779,660,023,018,469,746,
326,502,365,129,667,421,160,753,762,865,969,691,476,208,307,591,055,884,926,
753,725,658,885,106,983,886,428,211,446,766,354,128,324,429,842,790,569,156,
654,680,530,431,118,890,788,750,471,436,904,014,399,251,465,180,767,149,972,
211,035,499,662,673,702,445,641,593,139,832,169,890,126,564,244,384,960,359,
534,326,550,585,500,055,650,477,300,974,124,553,416,929,871,455,348,564,969,
981,706,020,168,774,508,631,046,851,549,396,603,140,510,121,721,679,002,852,
967,632,243,189,338,865,979,288,186,805,285,749,361,200,056,466,149,807,505,
489,472,128,337,656,599,265,915,041,498,005,932,696,545,957,052,066,948,681,
408,472,574,120,605,068,206,117,615,708,791,418,456,179,337,375,623,180,248,
811,009,975,455,363,433,838,253,885,983,757,792,321,740,864,824,912,327,433,
476,896,151,648,709,703,775,838,777,610,072,454,874,998,668,158,447,927,591,
100,704,716,528,402,973,849,914,477,569,872,313,832,382,052,696,124,588,652,
904,213,682,817,654,076,689,009,204,231,144,755,393,948,263,171,904,534,866,
157,375,165,157,845,574,550,788,067,208,114,457,902,071,249,838,838,898,381,
571,849,827,399,852,596,944,994,459,415,856,786,712,802,145,175,878,674,652,
712,575,770,934,960,447,356,222,314,815,041,714,961,073,211,537,719,029,168,
564,153,479,424,208,231,521,649,635,718,959,808,696,666,070,429,265,778,945,
941,073,853,407,723,269,190,337,170,606,678,614,866,716,518,778,179,903,531,
924,305,198,166,597,471,289,085,004,676,558,677,120,804,094,558,803,880,504,
125,718,724,137,356,627,822,885,007,853,931,062,401,274,128,164,949,406,009,
581,036,054,676,514,756,109,120,328,112,633,030,642,352,566,430,510,840,829,
532,435,126,687,586,156,464,334,895,545,376,054,950,791,289,429,734,630,814,
605,335,982,184,226,141,664,350,487,980,948,925,527,560,553,905,490,835,675,
538,203,138,719,242,856,005,881,311,562,675,239,517,722,352,945,028,635,913,
048,354,127,201,299,490,425,420,033,825,255,039,785,251,766,520,836,576,087,
450,019,672,375,928,254,360,336,336,917,510,044,348,508,135,626,432,746,389,
866,561,372,049,149,094,301,072,507,935,042,851,273,111,672,879,291,110,384,
915,299,086,573,872,494,153,603,367,169,354,357,021,775,283,093,775,125,031,
547,163,112,794,238,486,675,106,676,542,282,866,665,519,090,776,756,357,618,
075,324,415,976,649,820,270,980,262,398,846,764,002,443,164,994,354,114,133,
385,649,364,565,815,133,330,209,390,133,551,582,068,802,681,880,524,898,584,
510,684,639,038,462,247,998,782,750,721,357,252,251,705,413,809,390,891,293,
964,409,710,717,466,537,210,334,812,575,001,351,561,525,389,150,750,170,184,
646,295,732,400,986,575,058,621,892,355,993,101,564,920,172,320,931,990,244,
986,403,863,984,423,189,699,836,387,268,724,175,455,043,102,145,192,666,892,
439,522,954,336,215,674,382,783,895,752,252,493,908,010,042,259,520,392,105,
155,755,930,921,307,962,509,898,933,055,494,945,408,576,719,500,392,303,851,
226,932,879,216,692,919,520,860,214,237,176,300,614,720,900,542,208,115,771,
299,143,652,665,882,262,999,552,978,576,570,009,656,086,360,835,801,001,807,
888,874,729,081,327,629,531,566,388,315,405,314,200,409,123,493,972,884,078,
019,675,765,074,146,576,327,083,158,754,716,967,201,376,285,261,726,920,072,
264,747,800,407,429,920,470,343,673,956,752,383,704,263,867,838,326,788,800,
491,525,784,446,445,072,197,270,288,144,724,526,608,133,682,385,033,696,845,
367,835,926,666,478,870,325,916,199,896,377,830,231,170,542,613,865,931,185,
065,817,175,569,277,684,460,555,243,860,604,435,389,216,038,199,158,071,036,
623,759,692,770,008,564,502,309,332,754,149,479,736,761,689,752,709,603,397,
351,705,078,583,259,307,231,544,103,396,315,005,884,839,538,195,751,642,388,
105,037,219,552,522,866,312,063,606,139,375,101,037,655,165,100,202,639,276,
185,888,659,934,570,534,753,842,679,650,525,375,082,241,846,540,129,222,967,
152,435,192,151,215,158,673,999,236,144,893,119,981,469,488,168,563,238,898,
109,857,254,649,442,861,642,359,380,668,702,703,360,216,217,736,151,162,947,
093,526,785,088,086,997,211,718,525,258,465,664,868,414,180,006,841,399,889,
586,149,844,030,845,547,751,328,917,403,263,325,842,470,442,164,373,920,701,
294,233,948,625,816,307,460,361,047,357,739,972,479,432,809,454,177,332,957,
902,358,991,663,188,070,654,824,384,590,334,319,581,634,960,196,364,550,502,
520,864,838,945,373,302,015,345,013,065,518,019,043,074,646,257,557,118,762,
733,309,600,546,799,380,396,918,487,212,425,914,034,575,085,088,187,310,911,
984,084,303,031,193,861,636,147,521,722,800,778,252,978,947,442,115,227,134,
734,464,526,593,442,647,480,073,598,144,319,571,566,952,321,797,775,053,006,
068,651,632,858,883,879,177,330,922,941,322,304,569,481,712,687,859,275,342,
188,525,859,832,151,769,429,245,418,069,991,876,694,952,524,928,381,300,506,
350,588,836,034,883,356,173,406,123,898,195,392,248,933,004,647,478,928,669,
372,353,736,495,323,781,517,940,252,307,049,139,623,040,412,885,249,393,701,
024,662,368,016,653,649,594,279,020,768,917,664,117,972,657,457,712,585,006,
709,307,871,880,403,863,954,280,228,603,153,037,343,959,963,003,988,384,743,
861,788,532,862,611,197,164,697,326,281,514,419,975,235,546,573,149,979,136,
405,007,234,717,169,679,168,603,562,643,195,981,678,546,621,949,333,716,258,
161,273,849,248,533,405,403,312,616,318,161,642,771,217,292,308,832,871,666,
074,895,976,568,937,081,347,346,393,297,112,260,775,174,493,328,186,265,481,
355,214,021,625,089,333,420,419,701,452,642,202,951,764,035,936,787,686,007,
434,459,266,842,860,044,521,711,680,491,803,724,812,956,159,864,360,769,212,
053,089,670,820,469,466,229,013,735,116,429,838,284,686,972,082,288,228,137,
117,608,098,331,645,985,635,830,487,448,756,311,396,513,350,884,643,914,227,
782,762,273,507,568,391,956,043,950,395,189,900,163,496,911,147,047,594,001,
610,235,708,715,928,879,317,237,426,912,541,276,658,201,759,278,097,241,815,
638,042,731,389,058,327,043,794,468,721,324,721,694,439,624,087,168,977,427,
302,660,876,041,148,746,991,004,842,263,095,465,571,711,469,495,365,644,210,
286,198,198,087,942,170,653,974,809,854,377,751,445,864,256,691,327,390,247,
208,608,287,809,739,775,665,532,250,698,699,007,101,092,359,148,541,220,921,
414,758,507,453,141,632,733,664,714,812,800,218,329,672,029,249,529,398,030,
503,268,264,610,334,532,549,952,914,177,112,174,491,870,438,306,498,066,961,
355,006,960,755,668,857,003,339,409,789,375,465,092,455,322,527,914,877,927,
026,662,078,437,958,282,221,313,510,458,437,395,607,315,154,308,323,487,661,
923,317,203,435,133,395,218,912,229,415,592,236,065,915,248,046,924,668,950,
020,371,530,167,633,709,626,179,809,246,453,155,198,687,074,284,077,456,983,
562,113,903,421,158,474,937,489,064,652,000,448,596,339,033,522,553,426,502,
148,272,272,415,486,178,723,795,738,117,704,080,679,045,417,468,152,069,316,
650,290,916,502,852,738,802,216,585,246,785,329,619,744,880,391,696,360,241,
963,203,534,923,977,078,232,770,293,141,262,001,936,840,929,339,513,492,249,
229,685,363,973,202,927,548,451,003,769,191,646,547,416,601,573,630,939,795,
515,483,059,195,346,849,523,944,600,369,331,033,866,725,772,155,442,383,448,
095,633,013,649,517,386,450,059,026,544,642,856,783,772,572,216,732,319,532,
097,017,831,966,707,255,011,518,513,891,693,103,827,895,248,947,758,486,437,
241,757,382,732,570,925,838,580,969,677,092,509,273,868,017,100,285,362,728,
080,151,614,565,803,815,908,079,239,858,416,753,253,448,552,790,425,250,840,
807,433,299,386,899,755,843,515,676,458,147,333,574,226,899,290,658,074,266,
153,083,448,399,260,206,337,964,203,507,802,832,674,214,074,965,379,380,191,
079,484,507,398,996,242,543,237,929,765,529,633,945,432,421,435,674,606,100,
589,849,923,726,363,530,084,436,027,104,527,156,542,989,156,830,495,866,881,
298,368,396,057,410,131,932,411,994,724,901,625,945,217,836,400,196,294,356,
899,906,420,689,710,130,642,040,284,572,467,990,417,959,123,051,589,394,170,
824,997,844,068,085,450,255,088,558,472,072,449,059,759,579,984,980,581,891,
579,386,834,558,533,929,004,339,864,723,683,782,204,892,558,391,720,598,275,
077,726,686,218,989,591,011,664,213,233,175,832,368,251,201,437,902,715,904,
004,866,778,415,087,451,359,076,477,075,675,715,626,268,408,259,187,896,082,
492,088,409,037,035,416,455,336,942,407,728,763,582,146,193,935,468,701,101,
105,473,321,264,561,310,055,651,028,804,098,813,626,985,501,637,871,644,759,
156,319,810,431,827,434,603,104,737,092,020,383,929,782,809,625,564,337,849,
496,426,230,617,169,287,648,387,871,429,528,461,893,544,908,057,054,840,454,
863,230,678,516,635,042,191,512,042,148,894,872,878,244,813,037,381,702,649,
119,823,869,702,298,707,281,320,638,417,462,525,817,181,169,171,420,813,539,
050,468,678,669,814,163,554,697,912,631,369,398,546,693,525,548,115,248,371,
426,685,388,700,672,667,212,833,071,329,305,670,488,307,347,799,394,261,241,
798,649,700,661,493,437,507,193,171,621,528,061,797,536,030,302,046,744,070,
088,623,023,513,201,941,110,114,286,926,791,799,632,826,327,914,726,256,415,
226,900,293,707,739,765,608,486,099,535,563,235,179,819,739,794,215,522,538,
497,521,868,307,650,915,998,388,866,696,528,397,512,932,546,260,685,432,199,
786,775,343,009,421,528,131,610,384,444,930,951,202,367,072,720,826,284,915,
555,916,379,288,741,132,134,160,250,242,289,774,220,903,555,083,861,637,868,
659,708,888,198,682,959,239,601,546,665,095,150,578,972,364,717,057,874,298,
425,801,794,868,629,649,256,085,533,636,013,209,919,529,757,013,028,458,093,
957,357,295,882,242,314,394,506,536,187,426,995,494,734,518,895,238,630,950,
088,438,741,081,112,790,975,956,100,276,525,134,079,678,541,034,312,486,669,
876,437,553,083,145,783,321,927,584,990,501,515,229,177,940,977,604,066,251,
131,193,355,466,410,877,785,948,575,183,770,797,321,629,935,642,053,645,312,
730,818,565,213,516,586,185,660,866,647,499,718,519,990,740,745,396,979,800,
377,094,239,885,510,286,876,892,666,652,868,281,763,668,590,788,565,946,754,
257,435,228,972,885,171,860,587,835,355,907,136,020,630,088,371,477,754,576,
247,110,224,794,632,794,747,773,130,137,888,728,220,268,820,099,299,490,758,
281,787,895,423,899,884,308,754,466,927,925,404,535,779,717,959,781,568,392,
650,263,622,759,261,700,506,575,667,201,859,926,786,742,536,953,624,039,421,
348,123,069,496,343,448,894,576,836,200,151,073,222,777,329,912,889,503,889,
866,576,588,585,890,935,819,044,692,033,781,254,212,287,547,424,517,996,852,
163,834,143,444,796,806,300,058,379,979,250,039,565,543,508,947,017,156,489,
822,371,946,278,316,800,294,470,385,803,307,429,054,518,596,034,209,846,187,
367,482,397,660,694,764,424,303,936,292,877,577,624,195,562,317,264,673,321,
953,111,100,265,971,234,713,718,641,293,179,199,095,944,392,575,332,065,305,
526,890,170,710,061,577,685,690,708,427,672,798,747,103,632,611,283,727,987,
799,386,514,505,420,264,900,430,517,736,172,066,084,693,582,540,047,212,513,
845,588,890,672,840,698,247,125,603,516,578,743,621,628,203,023,485,014,714,
867,539,213,514,165,586,597,672,623,217,084,520,439,275,835,914,134,993,431,
164,776,112,668,358,611,095,746,976,897,378,392,856,237,342,679,599,077,322,
300,551,675,081,069,489,889,333,546,476,421,991,996,803,799,895,929,647,464,
144,811,473,157,271,508,872,068,100,678,805,865,339,341,047,316,625,434,636,
846,816,258,897,393,540,220,154,966,568,450,192,449,083,329,411,947,738,769,
451,129,210,256,873,640,264,299,800,421,731,136,357,869,297,151,046,957,123,
824,969,470,879,815,992,936,751,928,578,296,326,372,841,938,210,022,206,434,
244,782,445,193,723,639,454,073,087,276,389,848,956,827,186,030,526,014,727,
926,940,598,592,103,418,393,390,829,661,358,024,685,402,466,478,401,437,314,
297,685,692,069,620,916,974,604,001,897,459,986,381,558,135,273,363,830,658,
890,904,476,110,295,644,403,630,133,014,505,615,506,767,285,732,896,925,005,
052,654,895,376,488,312,216,570,475,014,754,123,489,702,173,265,847,259,814,
532,793,302,898,376,923,672,114,234,320,568,816,490,554,166,535,505,634,919,
734,586,242,811,439,493,787,999,589,588,194,655,737,037,472,853,420,649,433,
957,386,174,651,940,234,846,706,916,872,628,697,440,325,073,814,008,680,481,
143,407,432,078,802,472,283,591,658,298,771,126,857,172,477,456,789,875,315,
479,748,239,067,893,664,696,059,945,419,393,902,844,812,901,231,935,769,272,
015,908,249,503,265,525,877,185,738,044,327,028,300,306,159,427,239,173,337,
358,851,242,762,934,978,010,661,537,767,252,061,727,557,241,346,667,532,763,
280,671,786,381,406,648,171,360,233,489,541,187,475,729,083,328,384,721,067,
108,638,772,210,020,652,924,575,169,177,900,592,780,217,246,657,670,650,837,
891,318,928,049,562,197,530,759,681,144,083,392,941,216,287,835,900,056,153,
518,275,250,267,102,263,860,516,850,827,584,592,666,606,684,484,687,552,490,
499,450,247,791,215,358,620,347,705,337,297,015,195,452,786,299,122,208,740,
583,737,320,704,275,535,896,787,188,412,464,825,791,689,832,614,354,311,079,
669,820,549,029,985,095,868,850,202,637,531,995,786,527,308,747,866,797,904,
854,157,482,202,888,992,984,416,950,221,932,686,090,650,210,482,090,655,628,
328,827,978,727,362,338,762,631,818,172,457,467,622,028,050,751,727,267,484,
184,164,607,174,987,431,485,206,567,380,784,000,202,411,328,254,065,470,265,
180,331,774,747,656,675,975,244,163,248,321,817,355,267,040,970,586,140,948,
960,107,935,747,741,180,759,951,210,425,425,385,520,622,592,397,280,471,891,
478,420,572,393,508,327,250,085,101,212,524,375,242,564,738,883,707,144,406,
476,903,439,739,638,982,075,888,401,823,348,600,284,485,238,000,399,711,211,
703,266,454,220,887,949,904,717,691,977,530,605,004,643,588,893,351,432,391,
949,706,032,417,736,263,742,042,012,542,157,451,153,849,707,365,431,139,764,
537,566,428,069,077,933,669,433,064,802,371,280,991,802,846,246,580,387,217,
687,565,283,678,685,426,841,591,757,343,312,993,820,800,648,678,301,010,314,
607,997,218,961,079,720,678,939,655,684,138,987,207,635,977,384,231,298,122,
552,965,124,335,778,586,230,025,613,959,337,310,861,678,988,719,704,666,439,
756,801,758,710,006,448,658,818,955,349,930,405,129,272,668,861,275,955,264,
650,351,942,548,359,071,643,123,284,683,441,260,113,516,848,485,146,717,106,
346,672,225,146,130,257,581,774,459,273,931,737,942,894,162,675,836,905,791,
582,203,268,860,278,654,722,621,389,241,918,955,442,211,732,872,909,177,893,
615,112,013,777,622,396,205,663,383,396,474,424,034,568,561,391,406,331,731,
155,393,852,848,396,871,666,366,707,043,295,210,587,025,374,216,276,740,959,
233,204,913,526,831,562,780,093,662,989,518,650,180,742,622,069,306,158,891,
817,927,183,258,132,273,339,025,121,359,344,557,956,157,260,587,708,476,944,
093,713,080,265,134,740,375,970,211,666,248,580,140,889,392,648,375,988,346,
901,210,681,866,290,522,643,738,463,740,708,796,224,131,727,976,317,598,898,
261,935,413,222,150,743,259,629,497,725,734,947,348,301,645,497,530,314,447,
686,081,668,129,468,152,035,460,153,970,690,057,871,675,781,996,165,421,205,
997,978,938,214,459,609,371,254,705,876,706,209,945,598,478,785,557,728,135,
298,039,498,484,197,285,121,951,297,480,772,003,658,971,267,943,844,922,216,
942,383,200,417,729,802,906,156,665,280,936,419,380,216,456,043,150,824,751,
601,540,494,234,393,971,934,078,230,511,590,749,923,423,082,694,288,193,398,
511,715,802,957,436,806,808,887,432,712,993,195,257,495,434,536,509,351,869,
168,587,485,778,258,670,708,297,274,031,880,761,026,933,917,417,601,048,098,
663,472,010,515,146,047,493,540,269,063,471,653,379,993,580,500,803,719,742,
314,364,666,152,505,815,804,462,394,932,071,826,758,796,376,241,890,130,071,
623,501,998,745,554,092,492,908,926,387,732,267,276,116,757,045,565,656,928,
279,866,023,869,187,392,046,927,822,131,957,717,457,369,648,106,281,195,862,
086,816,042,042,799,818,636,700,889,208,285,517,014,074,380,507,204,009,944,
996,641,412,425,897,592,265,487,010,150,250,272,520,908,275,218,830,986,676,
727,686,075,742,597,759,416,057,625,007,835,717,167,433,129,633,859,124,603,
210,373,970,263,705,251,362,864,147,826,567,533,353,341,855,068,110,359,380,
956,998,629,563,803,167,274,009,486,511,853,273,645,774,593,484,939,194,788,
760,506,421,989,594,007,033,775,017,862,681,644,979,655,663,484,586,275,042,
046,765,422,527,021,224,817,509,472,860,137,278,868,784,986,085,440,223,911,
637,427,499,771,328,989,776,652,435,527,480,529,071,159,660,182,850,684,157,
274,588,493,775,672,858,342,637,985,598,806,790,936,017,887,621,866,855,960,
653,507,047,993,452,542,008,154,896,914,071,386,877,674,906,665,233,251,246,
943,594,951,105,600,617,020,434,729,763,531,039,379,110,268,185,970,289,139,
046,288,810,328,407,083,546,747,279,798,840,331,864,054,696,012,288,581,164,
873,418,309,169,307,967,476,575,686,160,585,652,585,215,235,379,053,188,328,
599,432,431,262,725,809,256,811,083,034,576,498,634,445,427,418,920,645,422,
689,218,630,692,155,296,063,515,517,786,073,374,949,508,697,035,043,010,460,
972,972,676,922,335,408,737,424,014,471,350,018,470,681,707,437,511,491,794,
369,751,708,529,146,495,773,232,494,863,520,395,798,778,429,304,380,709,489,
816,111,588,900,205,852,155,255,067,949,032,154,548,825,507,901,209,307,142,
542,580,327,191,550,185,901,818,576,069,003,188,220,736,144,714,055,842,526,
593,073,399,963,951,620,783,237,715,519,418,403,652,181,700,749,133,550,962,
733,711,693,707,268,246,753,151,802,673,164,623,753,227,549,525,388,498,095,
025,355,525,812,216,399,822,847,494,593,551,494,004,809,287,763,802,367,416,
198,033,678,415,408,214,116,976,335,993,020,346,504,834,884,240,510,823,301,
207,191,997,861,320,989,438,070,123,644,906,277,662,611,696,566,338,122,511,
987,374,238,813,069,390,701,628,892,493,459,161,505,809,795,175,650,681,670,
291,295,279,455,719,883,918,564,776,476,216,072,734,091,534,291,463,223,879,
239,406,390,695,412,792,523,982,873,615,454,137,761,189,109,105,014,681,519,
378,908,339,473,072,952,212,614,694,008,653,384,630,662,925,688,083,368,749,
544,380,884,432,684,807,359,289,163,351,043,345,443,742,659,240,706,077,045,
661,661,961,792,876,252,544,039,573,229,732,808,593,425,677,005,459,634,859,
726,707,001,580,950,874,194,083,091,967,900,311,997,965,890,925,708,864,380,
117,250,647,087,717,163,154,777,075,617,950,317,677,783,419,605,421,433,475,
957,166,343,314,024,547,142,872,530,682,344,003,964,758,428,594,078,886,641,
986,606,218,528,301,676,341,420,096,722,488,441,402,350,267,596,997,287,250,
098,210,228,211,687,354,598,077,426,588,629,709,367,884,623,261,695,213,806,
015,604,219,091,071,130,422,172,004,898,358,005,161,476,855,346,595,111,243,
521,534,507,007,423,301,390,887,634,759,255,994,819,569,208,147,439,816,956,
896,974,764,841,179,023,382,940,117,334,345,188,584,729,957,591,256,103,558,
722,140,082,359,225,303,711,126,023,135,184,886,293,616,726,172,232,574,728,
161,722,951,620,385,323,075,980,647,454,551,020,421,490,481,402,819,280,649,
030,785,646,107,377,982,775,444,312,427,377,725,842,740,794,125,774,029,102,
181,457,010,889,193,873,593,390,802,704,162,342,463,497,999,327,515,558,018,
871,046,102,688,486,222,420,367,336,780,428,922,761,511,383,083,020,578,146,
721,513,841,317,169,055,777,618,779,571,015,440,482,324,389,285,818,406,292,
575,806,044,303,692,346,784,146,631,805,589,586,137,169,838,856,327,963,504,
287,625,587,083,639,667,074,006,318,546,654,703,933,177,550,127,079,323,671,
330,457,863,035,704,801,909,963,346,291,876,713,873,656,118,627,102,639,063,
025,277,834,275,379,034,832,532,818,555,339,899,166,428,734,912,355,880,154,
993,939,227,475,851,192,945,032,762,776,605,825,325,604,661,441,616,259,383,
940,131,629,294,127,599,833,584,724,737,562,902,157,996,925,947,609,116,238,
194,970,151,036,807,851,635,883,142,831,281,998,420,965,362,514,263,809,288,
477,350,043,001,762,182,962,455,193,468,810,872,854,613,698,443,217,708,520,
192,023,229,890,223,122,313,625,347,208,983,128,246,578,422,996,481,819,786,
539,172,397,158,704,094,027,149,701,369,339,036,427,302,847,436,001,698,357,
208,921,539,742,691,057,299,216,730,239,676,483,705,223,921,790,626,391,245,
905,648,315,790,662,746,821,408,852,504,057,142,885,385,044,014,512,502,984,
899,513,843,317,498,316,291,829,282,378,213,806,968,400,026,148,443,599,120,
159,917,036,560,715,588,447,213,846,102,529,575,052,312,071,785,657,429,815,
690,400,934,057,864,449,887,914,170,118,306,847,251,710,257,939,853,334,965,
979,242,946,713,331,148,087,018,782,384,439,394,053,822,837,454,710,082,393,
991,091,680,282,539,734,342,915,144,766,485,163,773,074,326,934,600,767,026,
085,021,130,505,475,853,544,928,544,529,813,963,044,760,585,314,587,731,697,
830,454,493,848,199,307,783,755,417,716,935,442,440,696,727,112,871,450,084,
849,399,715,531,017,946,512,951,182,060,462,786,518,520,142,933,308,275,341,
821,336,497,474,195,592,686,318,827,787,666,948,536,629,791,802,026,289,375,
417,809,557,779,637,903,385,048,528,617,963,183,984,758,099,626,503,091,469,
505,937,521,489,339,145,727,095,640,518,234,183,595,346,549,496,228,424,878,
826,997,385,326,034,781,753,540,512,729,297,116,963,321,394,387,485,459,106,
168,455,541,520,734,011,804,118,880,116,134,685,619,957,315,744,876,033,558,
531,287,732,702,013,566,844,819,663,712,160,277,633,609,770,423,598,546,641,
514,762,586,368,643,714,302,099,738,497,212,809,046,384,384,872,882,629,028,
910,762,611,739,235,093,133,937,811,614,747,328,559,877,049,431,442,415,085,
849,204,859,674,431,781,164,696,773,760,513,547,837,892,987,977,296,977,747,
816,422,943,953,106,073,814,529,400,553,416,805,715,498,567,571,141,952,754,
768,795,922,762,278,334,300,490,006,982,304,767,293,602,631,042,036,061,232,
865,610,792,138,459,078,823,395,590,475,582,607,549,053,269,817,519,154,716,
576,947,517,113,688,301,334,811,177,208,597,397,579,377,777,638,313,467,513,
249,720,134,848,969,876,303,154,215,953,509,203,470,794,024,425,040,775,100,
393,192,591,038,924,735,262,792,372,978,862,526,809,591,930,749,757,977,801,
362,453,971,401,475,533,117,697,861,218,407,931,183,502,411,670,311,615,059,
261,311,534,539,800,745,851,312,657,068,638,805,139,396,462,521,180,292,426,
311,757,152,108,706,884,848,149,092,152,280,280,010,399,549,821,058,031,730,
960,084,084,217,251,497,390,452,997,689,134,496,736,847,713,588,257,256,913,
707,716,074,154,633,217,316,475,951,010,313,531,850,624,703,430,512,239,977,
894,165,724,433,330,315,318,948,427,159,687,540,726,402,461,257,057,348,655,
257,683,619,155,869,630,742,251,690,585,872,752,093,592,048,778,210,028,969,
504,175,004,416,587,698,414,705,647,806,421,758,951,863,199,602,927,021,029,
090,048,957,378,750,576,797,007,744,443,492,804,716,157,767,254,161,740,395,
535,373,150,349,312,831,876,106,874,817,823,790,576,456,019,613,559,975,539,
842,300,653,431,895,338,396,930,371,111,090,709,605,882,459,984,112,663,157,
495,582,274,725,222,503,649,054,452,568,607,424,163,086,732,237,488,232,846,
641,606,878,285,609,845,076,142,602,777,440,395,703,592,539,453,983,918,575,
646,687,766,795,508,116,927,042,117,604,070,715,424,890,840,881,645,700,134,
919,270,730,527,067,096,740,494,077,187,453,073,412,491,267,345,073,979,712,
730,212,707,595,814,847,146,074,903,233,454,920,936,545,259,270,453,995,422,
682,459,645,678,999,359,338,512,513,506,499,807,865,836,923,211,803,890,758,
092,083,904,842,142,907,118,701,891,921,895,176,270,126,401,305,684,523,210,
634,927,084,548,025,552,676,312,308,437,257,331,948,593,774,550,271,874,216,
474,828,452,742,329,943,973,001,206,491,481,220,414,311,432,661,122,702,923,
986,034,928,739,438,810,452,810,060,963,309,313,855,581,475,071,475,332,295,
752,695,070,612,290,402,264,294,867,399,568,370,486,805,916,004,899,776,531,
002,365,982,357,727,886,609,144,545,361,727,182,313,580,929,291,592,536,547,
116,036,144,362,466,032,694,513,160,897,140,993,679,598,561,249,180,534,150,
536,361,187,137,642,507,169,166,471,708,329,495,602,614,966,418,612,922,395,
594,876,001,522,607,631,004,717,540,367,713,446,606,917,543,299,128,580,325,
792,167,956,016,105,364,738,617,240,679,365,082,750,863,644,390,911,919,928,
111,495,391,194,100,838,541,965,806,811,496,282,704,489,027,533,329,402,489,
774,837,844,777,555,210,043,162,931,618,843,891,766,678,165,040,257,406,504,
516,703,776,968,579,545,773,950,051,030,976,048,706,652,360,138,073,318,044,
006,915,057,211,147,851,112,478,637,784,357,154,397,739,673,212,328,257,422,
736,916,708,699,479,339,348,131,788,422,389,742,881,849,216,163,516,049,525,
947,561,330,620,413,767,155,360,726,406,190,633,691,181,698,762,681,379,185,
522,448,816,723,236,349,308,268,289,575,094,009,392,757,715,534,244,177,541,
362,552,520,030,835,491,109,690,681,807,131,633,110,549,101,285,531,676,578,
025,102,641,073,915,270,590,638,768,978,089,244,292,424,401,889,773,332,548,
400,912,144,283,869,131,763,241,618,290,684,190,899,201,141,443,592,652,665,
918,013,226,703,856,035,307,203,509,472,328,864,838,024,757,573,919,626,449,
121,350,505,077,626,256,409,437,891,030,779,054,324,890,400,284,248,901,362,
552,352,539,067,294,160,312,745,823,852,353,404,372,688,034,441,787,574,469,
821,577,928,893,416,873,665,468,119,411,767,032,466,068,441,943,184,425,794,
841,078,331,338,531,707,914,780,847,949,901,003,642,375,177,773,712,866,442,
151,815,325,577,149,222,607,413,848,534,258,066,716,102,492,100,559,649,001,
203,582,160,188,144,144,018,856,262,057,436,737,991,717,000,499,150,035,335,
562,926,253,174,183,515,685,334,839,633,827,471,673,590,595,831,902,532,107,
383,697,584,089,781,488,645,257,998,276,737,729,814,947,215,666,697,716,224,
312,698,497,774,493,470,203,621,833,745,750,807,427,985,152,095,743,912,505,
721,380,006,548,822,433,541,123,855,888,727,774,869,679,735,603,940,658,429,
372,565,431,993,298,782,123,180,437,104,247,964,532,604,313,052,360,659,785,
013,034,532,607,383,322,753,944,083,890,355,126,485,856,993,733,044,357,346,
818,516,640,540,105,055,858,904,887,318,539,130,165,171,017,982,580,440,977,
065,906,472,649,623,495,255,258,543,673,652,107,780,037,438,694,632,548,586,
663,994,870,913,339,684,252,493,770,039,433,139,214,108,990,126,148,034,836,
801,491,106,003,924,489,061,459,737,107,988,065,055,424,210,540,800,892,325,
019,921,818,511,393,414,748,714,367,965,940,666,278,109,150,920,616,658,934,
405,685,196,212,450,854,525,878,796,009,146,787,913,261,742,884,800,501,437,
472,685,508,576,125,888,789,161,809,197,887,082,094,712,145,743,281,604,084,
082,609,586,180,877,484,387,142,560,364,745,347,423,449,918,653,642,760,029,
719,182,123,383,043,427,798,338,276,368,651,833,595,661,978,673,721,238,506,
589,237,142,213,828,320,819,650,019,243,159,342,785,619,984,858,772,294,129,
569,906,998,726,691,762,091,697,867,720,119,050,427,541,164,603,517,792,516,
209,017,161,540,663,767,071,326,819,535,607,610,104,402,404,593,586,054,293,
447,946,869,211,408,589,677,469,720,464,501,400,313,590,288,036,068,802,718,
033,630,936,550,562,148,411,243,141,093,480,184,821,539,966,908,110,651,255,
995,627,953,633,011,207,432,115,170,510,419,217,495,259,120,455,640,152,268,
398,686,137,499,415,074,978,455,533,510,883,011,034,069,246,437,314,939,936,
342,352,009,449,876,771,370,101,848,630,390,162,602,436,823,430,888,024,140,
177,052,792,150,694,949,109,144,613,616,923,066,806,872,157,921,192,033,751,
789,866,595,370,188,392,371,721,617,376,202,711,940,381,079,267,378,671,474,
434,147,709,792,531,853,720,035,662,387,897,383,699,401,618,502,837,468,766,
392,685,801,583,403,883,411,932,451,760,280,668,634,730,332,367,070,570,048,
216,760,338,234,722,762,717,489,893,812,089,074,609,311,136,621,299,276,593,
377,088,002,865,077,275,497,086,445,008,179,112,105,310,579,965,266,469,471,
016,558,457,662,639,334,100,274,963,492,944,061,201,667,850,880,087,596,390,
976,933,763,098,850,484,920,716,563,648,826,928,098,634,523,921,102,325,630,
699,293,542,474,947,390,924,577,514,347,872,775,432,367,869,731,029,893,812,
948,598,869,459,507,241,224,945,795,926,940,807,503,064,863,513,301,122,986,
745,117,331,046,511,489,522,407,968,734,025,801,161,710,163,994,013,316,230,
852,356,103,928,299,024,193,686,262,133,392,002,367,034,090,023,138,075,325,
343,309,510,603,729,121,636,837,324,178,957,355,719,604,885,967,234,210,393,
980,820,671,713,812,324,276,929,564,286,775,318,489,631,071,511,066,183,737,
343,713,839,935,322,471,522,382,442,815,038,006,909,876,879,790,728,842,495,
611,487,435,031,327,168,938,687,037,475,419,628,574,122,538,983,240,648,511,
032,735,467,871,995,072,367,548,029,256,707,171,075,124,325,975,270,589,861,
572,534,417,173,182,777,990,365,050,857,067,177,533,169,076,962,323,771,305,
222,450,992,055,452,315,276,285,984,711,806,005,377,580,695,595,569,008,809,
473,674,682,834,127,836,554,373,472,595,837,909,793,953,628,687,589,854,096,
604,561,932,804,228,015,130,304,805,779,818,376,833,261,733,248,095,014,438,
721,579,057,776,358,916,008,648,826,594,014,481,808,627,168,103,879,912,064,
170,301,031,830,797,177,800,691,187,620,591,866,113,098,724,806,892,061,147,
719,824,499,997,970,001,677,499,161,484,253,308,989,961,989,791,093,773,094,
184,859,545,069,124,006,015,651,568,827,759,091,584,737,782,680,422,392,515,
496,672,769,741,610,907,545,327,298,726,933,352,865,463,320,320,515,409,575,
218,788,616,268,917,490,885,821,265,465,165,178,480,374,762,174,232,516,541,
028,105,007,059,036,951,115,015,852,075,547,817,903,879,089,221,871,669,812,
912,763,226,457,205,637,533,497,344,088,393,960,292,461,371,088,604,700,004,
306,436,064,686,932,955,258,649,359,708,986,761,309,164,246,942,336,910,795,
746,320,791,201,883,937,976,512,664,801,293,390,473,270,471,816,781,940,465,
873,298,229,758,934,831,798,382,364,015,078,951,261,352,379,764,969,033,953,
489,147,381,269,487,434,844,402,196,511,482,533,737,213,648,220,644,999,211,
889,296,716,760,142,304,918,122,255,801,076,156,289,546,949,061,706,652,914,
158,357,188,677,119,574,113,743,052,113,494,113,892,334,695,814,788,066,234,
837,716,197,250,631,758,216,643,382,944,117,959,849,543,389,314,277,017,978,
266,558,509,381,453,778,584,308,609,704,387,625,918,973,003,470,068,609,044,
558,691,422,451,651,116,490,692,803,530,777,459,727,125,780,253,985,024,656,
601,121,122,536,111,668,635,509,069,645,357,167,790,510,347,312,811,330,830,
678,461,488,869,039,245,300,100,906,849,585,953,612,928,048,691,923,225,638,
616,516,381,523,366,652,558,796,249,697,516,885,519,565,862,294,580,356,759,
595,116,625,313,749,091,815,763,181,811,980,682,793,376,280,536,271,659,681,
166,621,150,395,709,393,058,083,984,375,487,158,154,922,277,540,762,486,481,
589,470,594,809,308,968,776,536,386,464,149,608,105,321,122,498,334,631,415,
735,100,932,667,440,957,446,337,880,608,878,562,015,230,552,507,578,452,665,
800,577,289,988,533,274,322,555,823,138,281,314,027,539,931,822,027,184,707,
440,935,685,406,718,647,074,005,458,268,258,152,522,853,267,145,151,901,675,
505,612,151,457,721,592,395,401,386,171,776,869,256,106,595,508,111,107,364,
061,197,753,069,945,493,729,264,053,573,960,451,534,352,145,798,229,793,935,
997,120,221,270,364,786,970,048,376,476,190,197,687,941,991,147,453,563,461,
092,272,027,950,862,287,663,785,425,320,044,524,323,502,627,226,056,730,272,
910,570,208,193,437,017,342,926,426,403,374,272,872,046,754,030,347,123,692,
126,961,597,328,697,006,302,440,087,029,546,892,762,265,200,231,751,122,099,
227,293,357,503,399,654,266,192,908,441,297,476,578,334,375,305,885,329,530,
141,869,616,084,983,572,815,613,891,567,172,643,508,109,098,149,844,974,592,
351,696,999,819,684,213,885,754,968,982,759,681,693,891,281,895,050,519,073,
487,023,300,135,379,130,612,706,018,009,891,247,509,531,996,912,386,204,556,
334,225,959,751,673,096,378,464,446,312,315,418,655,842,047,303,021,088,955,
108,033,696,246,728,352,060,829,370,754,786,409,067,479,627,681,074,495,118,
172,137,790,141,263,874,875,869,724,035,452,149,723,752,219,846,256,107,697,
145,987,372,118,330,988,139,149,509,927,157,291,750,848,247,176,272,295,071,
466,524,442,876,111,426,180,330,951,102,784,893,402,287,413,173,445,421,252,
523,178,759,277,312,943,139,345,755,260,258,008,894,384,720,588,882,455,572,
304,881,550,459,207,379,246,995,691,534,057,684,637,406,452,845,109,541,550,
719,472,342,384,109,690,372,959,086,187,007,435,876,669,507,222,881,862,271,
174,148,504,575,867,997,457,106,889,420,510,293,229,666,522,515,764,512,982,
927,499,235,699,033,188,174,225,798,267,525,239,162,845,031,148,532,557,120,
239,464,535,235,626,771,911,810,094,979,595,566,834,666,840,319,485,397,671,
475,829,635,027,991,156,409,678,784,628,062,120,059,525,332,747,685,371,016,
288,808,548,587,362,743,446,940,096,471,824,617,868,481,743,821,222,192,706,
123,367,287,395,777,768,615,163,463,707,986,418,284,381,123,073,365,971,898,
315,869,900,722,742,476,950,063,021,555,588,365,093,585,120,420,097,777,493,
777,231,313,946,453,094,384,353,993,910,861,680,478,994,327,627,395,077,679,
374,407,559,849,083,060,892,208,371,834,781,463,869,045,853,154,676,554,481,
939,753,186,925,363,460,509,066,669,441,362,705,067,681,902,326,934,148,178,
100,599,753,438,349,722,247,119,655,822,608,181,517,707,109,359,497,635,676,
230,661,226,404,248,987,969,993,471,210,918,789,369,024,386,147,155,919,744,
391,180,240,227,466,222,305,807,901,049,181,407,519,167,570,315,462,906,165,
490,811,578,407,891,782,664,205,822,855,680,347,899,098,118,894,623,825,094,
093,028,312,928,112,008,946,466,546,206,831,296,170,017,875,970,826,206,492,
649,947,696,316,514,841,520,963,009,969,860,881,282,796,438,920,807,003,890,
618,165,398,942,279,888,107,790,694,559,474,320,823,459,878,268,396,648,912,
415,619,706,635,808,593,949,652,057,082,526,815,031,447,196,763,258,396,864,
878,481,853,105,295,453,319,015,055,155,541,604,317,330,340,885,282,664,939,
759,123,906,900,087,733,591,436,311,810,028,965,952,221,438,129,651,468,591,
810,652,321,352,668,201,986,884,949,158,519,883,203,003,422,355,668,987,425,
249,618,318,633,324,218,089,707,266,291,170,944,304,158,040,066,531,564,800,
379,023,067,605,836,214,984,421,645,849,359,133,662,820,846,054,032,264,495,
396,664,509,819,382,270,739,444,119,263,627,073,064,115,311,020,636,567,414,
277,338,900,264,668,041,929,254,433,890,339,056,008,380,451,464,916,127,746,
877,321,399,437,602,649,350,103,197,843,462,905,283,346,178,145,796,282,518,
393,859,976,643,158,443,924,299,643,137,396,794,013,355,565,891,570,313,285,
368,686,262,431,994,247,395,224,596,286,020,856,143,891,282,041,785,999,096,
306,253,340,302,895,077,130,339,516,616,241,201,168,895,053,895,694,903,019,
515,331,261,020,687,272,801,944,960,685,392,691,835,680,416,994,099,489,471,
440,820,995,699,230,819,061,019,088,534,224,482,145,814,206,522,359,958,577,
531,467,103,790,419,252,507,220,048,642,457,143,787,646,994,517,362,623,561,
116,071,518,919,776,341,981,087,274,691,058,908,777,105,082,217,973,656,292,
526,937,332,881,122,763,336,319,170,043,802,837,698,151,830,146,131,785,590,
268,830,422,454,839,296,479,350,298,241,867,046,017,481,649,851,503,210,756,
881,421,475,663,338,916,034,953,286,054,669,777,891,459,093,672,633,595,936,
462,465,412,279,336,300,892,941,231,788,252,753,442,967,864,752,418,893,791,
457,893,364,303,917,663,727,390,536,627,470,061,184,656,191,212,811,406,599,
640,419,266,348,032,617,942,606,818,999,731,237,528,101,414,796,398,880,865,
976,420,291,172,544,141,408,810,737,983,277,949,747,889,632,145,985,626,911,
354,895,987,773,223,906,955,200,747,049,389,245,821,737,350,542,027,658,008,
723,910,555,200,818,293,524,736,022,072,985,849,843,818,115,788,803,930,877,
177,181,863,333,379,777,686,740,558,442,401,564,530,800,219,183,760,531,441,
203,725,643,386,263,052,152,357,672,529,417,077,307,849,169,344,437,675,921,
076,127,308,167,785,200,612,267,619,003,761,264,087,112,745,089,554,955,534,
042,293,073,609,554,602,997,081,407,033,603,707,572,384,325,620,702,886,561,
295,654,862,084,189,891,865,884,392,613,972,532,853,354,286,675,494,142,999,
793,362,234,644,613,639,626,036,271,106,392,625,695,246,972,459,121,063,812,
064,350,246,368,138,491,685,382,589,955,294,249,196,997,811,748,503,589,162,
913,966,347,459,759,311,882,303,353,290,394,718,688,455,905,811,273,639,086,
304,395,783,950,996,288,647,940,870,450,794,007,961,168,885,418,633,903,132,
115,217,259,513,601,236,699,696,192,141,984,484,119,791,011,184,687,636,538,
558,805,742,342,972,295,039,111,005,017,732,640,440,186,284,357,951,411,766,
822,897,874,177,530,936,824,205,255,775,464,671,049,801,708,246,238,994,062,
818,071,881,863,654,243,156,965,405,820,784,275,533,295,939,199,287,199,023,
832,637,708,858,297,262,113,568,031,439,230,918,831,673,700,198,068,703,370,
730,000,847,217,296,247,628,061,165,871,016,721,306,251,006,002,508,809,973,
282,180,815,694,878,060,534,321,161,419,647,570,347,078,551,904,892,674,432,
735,830,655,705,963,875,387,816,724,542,791,860,131,472,553,693,889,633,103,
788,361,126,062,541,767,774,013,297,519,773,456,921,933,854,359,158,371,407,
325,037,363,912,616,188,790,820,749,719,682,863,206,865,972,410,154,994,655,
668,615,892,305,304,964,493,985,427,647,157,409,551,355,566,651,393,666,551,
933,889,378,274,430,407,090,662,918,375,286,377,044,691,886,532,657,103,129,
911,432,428,600,309,925,440,222,332,074,888,022,799,071,967,561,571,202,974,
698,233,562,661,580,314,230,318,519,643,932,288,885,192,891,448,847,078,679,
915,865,909,813,712,411,884,237,201,200,439,537,203,011,448,475,931,894,155,
306,987,075,218,419,633,846,735,537,550,034,439,290,589,259,158,447,912,291,
701,578,843,254,529,970,563,155,663,579,456,597,781,585,187,113,263,154,609,
115,885,765,034,213,230,006,718,332,319,988,494,379,471,216,868,382,141,301,
212,890,281,694,921,782,933,972,032,729,689,744,360,481,059,014,175,643,071,
463,048,186,578,100,292,536,656,728,529,929,395,900,727,779,467,933,088,265,
874,612,096,683,564,565,289,912,091,746,858,353,865,378,496,650,501,668,151,
934,897,161,403,362,079,771,400,515,862,371,180,621,965,507,784,578,120,976,
278,823,564,083,945,564,831,072,768,608,649,818,789,229,034,366,262,401,393,
389,209,967,779,078,946,399,532,797,354,054,394,481,091,645,848,958,758,016,
489,364,141,622,503,056,925,021,588,285,232,666,417,118,204,293,332,149,777,
090,637,270,344,057,374,730,453,371,725,715,202,002,326,180,271,173,471,966,
383,995,410,895,675,748,469,081,003,111,039,970,896,077,800,247,061,842,392,
932,238,223,923,456,068,793,942,786,897,427,428,730,906,462,819,270,340,189,
980,356,728,495,163,269,155,075,378,605,852,734,168,250,151,143,210,628,184,
508,699,435,173,263,827,512,265,128,517,667,037,801,812,922,043,014,133,349,
472,308,614,727,562,791,934,288,872,305,491,376,292,744,205,849,294,252,645,
206,037,558,089,256,038,367,534,222,933,507,427,975,108,895,144,061,860,414,
646,111,970,330,882,842,154,350,433,819,613,715,580,034,115,155,834,378,041,
845,351,838,950,062,541,449,634,975,050,435,495,771,017,618,185,235,271,713,
175,672,354,567,848,424,301,911,184,810,214,314,529,444,825,244,193,150,955,
178,160,287,979,355,795,765,843,283,181,706,740,019,378,042,410,541,376,880,
714,777,631,826,859,913,266,693,831,020,717,949,919,471,787,365,416,493,325,
791,739,872,652,898,333,079,185,551,517,250,832,759,791,099,970,532,513,177,
007,554,674,852,073,257,108,996,066,404,075,478,558,704,511,450,994,880,487,
297,548,720,842,349,292,470,539,919,113,097,578,435,585,867,283,785,455,600,
168,660,871,027,751,080,256,226,390,262,241,138,285,637,930,759,023,956,882,
045,204,112,609,767,446,550,090,212,388,608,520,634,228,894,154,330,797,607,
586,181,779,266,790,457,855,349,493,078,441,120,514,964,468,472,497,827,235,
005,688,370,705,474,178,856,829,333,621,330,265,640,119,262,808,963,711,836,
314,242,949,614,768,762,031,478,601,156,289,270,263,706,377,443,676,755,096,
458,122,957,864,265,301,170,585,404,574,699,542,501,878,880,380,562,452,884,
249,579,069,881,259,171,707,414,540,103,677,693,792,604,281,398,995,439,962,
200,954,182,955,549,018,080,292,595,178,817,803,428,405,621,932,785,458,126,
083,214,124,495,097,507,670,943,641,287,092,947,316,182,944,252,377,016,105,
585,752,803,372,249,602,897,393,706,791,609,426,466,448,842,831,791,161,754,
749,009,653,841,083,828,440,819,911,488,268,164,575,821,875,658,745,608,571,
961,087,935,244,372,991,328,411,622,474,899,165,922,449,977,501,363,424,955,
756,216,752,555,161,366,350,045,258,433,296,537,299,275,088,587,140,839,593,
084,922,292,197,830,207,147,116,429,778,400,511,131,967,730,837,384,661,306,
299,678,069,572,616,110,005,311,842,108,367,948,887,709,897,429,010,266,356,
737,930,263,256,346,220,819,740,449,728,141,072,583,054,267,115,782,155,702,
559,765,647,267,641,609,967,214,371,704,709,086,323,748,012,423,930,866,483,
069,764,825,487,876,546,825,724,797,260,860,298,318,685,459,002,418,433,880,
181,376,269,324,765,276,140,953,960,223,484,774,692,824,999,838,050,683,645,
791,730,414,173,199,111,739,544,014,536,525,278,626,018,755,323,300,201,348,
798,783,039,083,534,951,172,631,809,092,322,820,086,069,379,777,598,107,932,
591,954,705,586,491,768,293,925,474,707,807,054,175,268,946,469,444,784,810,
275,692,735,854,392,532,524,206,633,167,235,975,187,334,577,306,576,931,668,
496,341,278,896,847,448,891,181,763,114,414,490,824,315,738,551,476,919,326,
406,189,988,484,602,437,949,105,611,654,966,224,301,466,055,150,271,808,037,
031,931,937,003,582,380,001,470,719,373,277,464,023,976,693,565,115,686,723,
738,083,327,541,128,276,179,974,164,104,855,884,502,238,728,930,247,278,268,
958,023,462,270,283,062,138,816,521,789,985,713,387,337,430,203,774,068,258,
949,444,007,401,602,942,409,356,842,088,074,878,548,249,190,294,244,003,192,
880,299,386,269,060,144,367,108,097,415,083,174,448,652,922,194,297,711,898,
590,095,007,800,423,033,869,143,319,802,495,103,800,143,327,949,146,917,686,
560,140,959,117,450,975,980,260,413,780,739,397,310,466,865,512,920,793,051,
947,654,651,356,922,899,603,879,966,480,923,476,624,622,778,463,936,919,843,
548,547,562,564,311,319,959,534,395,294,767,180,154,639,685,467,359,197,476,
422,710,210,405,945,965,303,141,183,803,881,598,590,750,470,841,922,553,108,
820,551,602,354,555,180,535,845,715,575,602,325,609,971,363,620,437,772,367,
251,794,329,843,693,813,694,557,882,070,095,117,372,209,967,119,031,017,992,
521,759,777,484,559,282,137,625,957,754,139,333,196,410,450,804,259,959,221,
421,092,349,461,542,127,525,946,562,589,228,915,065,673,002,412,265,698,316,
050,192,851,240,305,129,595,268,101,446,257,251,287,915,765,285,509,076,449,
365,215,849,799,304,894,881,233,474,098,874,177,332,814,524,236,087,774,362,
307,945,382,002,302,630,383,253,663,249,498,630,311,453,265,694,713,409,876,
110,041,809,949,447,458,218,796,582,285,105,897,039,272,866,249,630,315,571,
281,060,002,185,135,998,075,730,686,605,510,493,280,092,169,678,930,986,780,
425,355,298,616,016,548,013,120,006,158,868,518,732,163,247,176,623,266,614,
596,216,833,122,554,659,487,780,602,822,693,329,409,896,423,880,206,715,498,
688,925,294,654,952,645,110,950,637,948,110,275,337,170,314,567,594,752,402,
852,653,716,562,054,827,589,402,200,467,987,405,766,716,798,693,625,488,416,
283,013,690,872,909,638,928,692,022,475,875,187,478,945,247,886,657,495,351,
793,852,863,331,649,335,446,477,722,235,229,228,333,619,025,948,006,258,428,
658,688,520,036,334,330,005,645,628,409,147,608,251,958,061,088,127,740,571,
471,592,109,800,927,719,376,353,120,709,644,084,838,424,839,620,157,920,478,
278,038,377,677,380,407,954,487,372,843,131,751,202,157,971,429,193,813,361,
984,251,268,437,953,051,616,706,582,256,873,605,873,766,353,239,219,392,514,
713,992,759,198,778,445,983,097,338,380,998,606,909,702,698,088,603,498,081,
111,798,255,260,352,570,729,594,252,401,927,498,951,144,654,553,686,155,680,
286,880,238,450,330,618,305,843,535,489,710,717,631,643,642,039,538,693,937,
441,493,940,616,694,608,676,514,433,099,867,736,094,368,484,845,839,131,834,
174,407,550,389,246,705,609,136,629,603,684,571,678,004,168,840,925,821,375,
836,696,250,102,197,191,303,144,825,000,641,132,434,229,304,314,321,777,068,
377,252,061,035,028,231,255,547,997,905,349,126,850,801,929,891,430,145,903,
556,916,524,193,475,890,132,098,510,027,996,501,319,459,092,131,345,172,407,
090,103,863,844,480,183,977,530,180,913,834,931,084,686,660,079,040,606,006,
099,214,706,645,193,408,818,496,255,693,591,005,848,203,026,155,818,530,220,
984,398,565,045,852,997,176,936,965,648,735,737,262,386,314,949,363,485,419,
518,708,117,954,161,350,259,995,500,038,409,965,194,211,870,342,646,563,309,
948,553,863,532,134,259,311,674,244,526,815,942,690,073,506,870,564,499,859,
154,485,533,792,596,191,659,627,531,085,193,660,464,425,456,421,303,019,908,
356,826,738,621,274,814,803,216,656,115,849,775,046,505,233,590,037,226,649,
641,276,948,019,022,161,266,458,760,636,456,746,844,029,499,374,541,399,943,
910,559,238,379,856,147,726,542,206,873,378,785,429,759,386,142,676,003,235,
060,107,131,308,690,691,245,910,550,225,834,156,760,364,193,431,689,453,737,
629,175,822,465,322,539,927,432,287,765,364,907,866,625,114,867,397,029,266,
960,938,780,187,789,635,608,320,503,667,295,864,689,577,903,964,782,462,706,
801,947,619,484,888,485,023,778,194,230,767,783,085,910,566,794,053,488,908,
739,851,449,652,701,117,943,126,694,177,567,303,295,092,420,512,758,699,254,
408,801,793,658,934,851,059,409,510,157,133,968,558,128,984,683,463,020,334,
115,354,640,468,671,772,408,756,499,140,575,049,878,923,201,211,088,110,477,
552,548,389,738,659,944,478,480,824,325,966,552,780,857,898,194,786,468,840,
718,477,392,911,986,242,187,170,997,747,906,543,085,268,381,165,082,277,931,
282,602,567,507,342,327,875,550,440,927,275,157,661,932,198,715,264,173,819,
001,740,711,915,024,289,495,650,417,547,961,930,334,501,407,736,605,478,059,
395,103,394,294,639,303,967,221,758,457,426,770,284,896,936,218,216,045,477,
921,885,816,660,472,960,091,574,961,508,741,114,395,867,184,373,962,326,175,
856,715,584,018,445,475,481,360,454,945,996,399,380,307,857,949,385,134,507,
713,149,969,000,961,248,955,553,705,942,909,480,331,005,638,481,843,029,327,
727,060,609,463,903,205,830,270,228,899,523,635,171,536,406,811,616,218,443,
548,608,731,232,497,410,255,032,229,315,789,348,133,091,480,439,772,074,263,
192,476,313,937,876,113,013,012,500,783,678,553,506,894,745,570,578,408,268,
974,574,115,988,469,799,101,532,675,302,982,977,688,609,808,210,745,929,021,
865,058,455,561,346,114,232,447,835,229,912,523,628,326,062,337,851,259,358,
826,567,909,984,227,474,395,901,990,899,368,290,230,954,830,582,251,364,759,
767,030,244,737,264,755,176,754,259,323,961,541,293,667,921,260,077,724,120,
681,829,531,757,447,161,937,570,419,516,823,593,121,829,415,987,123,563,674,
014,930,224,652,103,893,814,225,531,021,987,494,336,906,958,456,148,940,332,
184,255,371,680,351,556,132,663,165,341,171,258,153,953,565,679,527,466,051,
706,673,011,045,629,631,847,957,573,202,008,724,632,412,584,721,121,080,889,
743,294,110,334,599,052,879,652,457,393,068,311,564,738,373,770,450,062,167,
745,992,828,830,164,371,798,228,888,565,839,319,106,297,649,991,917,654,683,
664,785,361,264,262,570,649,801,954,035,832,528,664,008,589,720,345,813,323,
195,980,285,332,059,267,694,894,730,412,550,953,574,845,270,601,443,930,808,
934,239,778,387,004,912,047,919,142,420,377,052,044,677,888,515,096,080,020,
365,246,497,720,569,538,521,794,047,668,498,381,578,742,573,603,280,977,737,
587,635,697,252,204,288,609,192,472,503,716,944,643,738,823,223,109,449,260,
923,033,610,512,993,207,317,844,124,659,336,139,031,210,498,038,515,751,512,
607,073,826,870,842,363,566,997,056,604,731,674,547,803,692,674,925,028,382,
747,758,092,984,415,896,273,830,898,881,630,954,048,047,023,025,454,977,103,
401,796,725,230,393,965,036,642,463,311,323,031,312,151,644,490,569,030,130,
630,873,536,466,892,341,586,454,618,543,461,952,969,032,060,956,551,427,930,
385,811,404,648,390,037,502,005,417,729,111,389,346,791,311,285,163,964,264,
315,190,815,520,811,679,490,056,928,890,632,999,629,989,393,433,080,739,852,
356,592,982,450,671,614,146,044,201,339,344,531,742,545,006,972,785,445,286,
177,625,850,211,754,786,500,304,985,311,931,156,778,167,993,746,892,652,594,
343,675,031,025,023,713,933,444,523,380,020,384,393,005,375,963,925,008,014,
998,782,244,951,329,344,912,937,541,860,518,750,543,309,671,996,353,009,160,
018,929,114,352,996,856,070,175,392,714,451,832,991,934,351,640,937,099,916,
565,263,841,266,706,868,063,518,791,549,371,925,138,387,740,313,144,794,289,
390,283,140,940,479,587,031,823,511,248,719,751,007,538,733,103,585,931,423,
991,506,719,371,570,427,030,122,086,865,045,759,404,083,763,854,794,209,304,
538,072,405,968,285,534,064,342,183,767,979,824,251,563,606,216,947,791,098,
693,585,823,486,162,864,326,296,025,681,327,912,604,629,855,213,362,048,290,
100,295,895,586,013,051,335,442,038,008,883,760,762,560,034,523,478,800,002,
264,781,044,873,752,840,457,138,799,212,040,065,599,528,629,731,618,973,579,
832,216,067,393,842,364,975,009,642,977,736,672,994,917,779,542,153,762,882,
448,979,025,593,880,606,470,390,727,139,688,002,526,579,687,016,218,259,153,
469,282,754,859,694,014,768,050,143,319,751,014,561,614,713,859,375,065,537,
138,802,779,073,112,698,254,604,930,627,814,453,208,819,182,244,200,519,263,
023,463,895,471,380,222,700,213,492,889,373,290,599,312,844,415,009,020,487,
619,372,888,014,721,801,085,927,003,401,218,654,414,685,424,727,707,129,048,
334,434,829,437,099,346,854,204,072,976,285,752,482,329,281,921,691,659,689,
940,630,129,906,424,143,897,462,135,352,562,192,170,175,972,118,025,774,358,
841,462,070,616,028,685,531,352,479,282,500,701,979,616,858,626,325,529,470,
997,664,818,079,817,886,166,494,749,825,815,069,640,814,499,715,643,944,595,
498,613,317,624,067,518,652,841,997,326,860,014,258,507,265,886,927,499,784,
237,051,044,622,991,258,924,153,989,834,464,745,092,661,710,080,258,370,304,
593,154,655,848,730,775,829,320,266,830,278,516,884,599,826,434,605,686,743,
133,218,234,613,021,787,494,154,925,959,690,629,519,862,532,172,114,205,964,
763,548,245,422,274,786,655,183,996,535,048,179,566,245,616,144,280,806,688,
967,859,721,388,981,797,063,005,396,183,489,928,458,479,901,406,828,642,367,
906,694,986,297,464,252,270,656,968,967,406,814,124,101,561,926,562,974,233,
789,086,855,632,334,103,500,681,355,751,029,027,760,977,902,207,927,534,418,
889,535,186,124,018,221,327,520,861,852,790,190,533,501,853,735,644,663,724,
020,767,196,159,657,581,018,217,713,420,051,012,155,849,088,525,008,422,905,
964,741,171,937,228,259,628,260,153,977,438,316,512,776,369,303,073,141,660,
870,912,771,787,958,726,772,258,400,622,147,475,835,437,976,450,880,481,234,
592,371,584,331,699,006,127,274,233,581,081,729,120,026,563,665,142,590,027,
063,881,678,634,173,220,664,202,676,243,207,516,559,348,637,882,558,121,586,
316,755,304,683,278,994,283,898,878,804,324,226,915,685,137,099,579,512,789,
702,112,555,544,723,590,066,022,513,166,586,032,996,420,749,601,304,823,354,
899,299,072,281,360,581,094,512,235,130,260,867,497,766,155,990,099,740,754,
622,373,572,162,888,308,760,692,961,448,401,845,342,541,147,135,271,304,923,
907,492,645,342,710,979,551,948,326,383,536,848,216,742,392,425,851,852,163,
549,465,118,599,370,979,317,968,801,976,205,951,811,085,447,736,023,930,739,
792,865,904,700,603,577,809,458,505,338,068,782,949,179,004,823,653,613,820,
627,300,367,421,741,768,142,530,219,364,319,992,119,701,963,427,704,909,672,
983,751,697,372,543,175,149,995,211,911,348,825,793,026,555,162,541,840,338,
883,145,886,814,057,200,475,428,231,994,952,710,132,172,747,037,138,235,179,
950,067,041,533,071,310,832,552,509,216,889,095,028,991,782,792,640,562,120,
627,684,996,504,588,570,749,499,105,099,752,958,439,617,242,761,114,044,775,
454,944,812,674,074,880,325,750,092,560,700,776,694,454,338,343,676,253,981,
185,298,494,564,124,947,484,971,229,711,651,461,872,228,546,235,565,323,302,
295,079,709,116,245,897,081,800,526,569,337,721,537,954,499,325,767,875,432,
249,192,819,183,633,427,545,093,779,777,348,256,315,352,840,995,520,631,566,
266,398,351,933,170,510,244,668,404,019,404,426,837,283,530,061,060,362,888,
982,729,297,034,960,747,206,265,593,728,342,240,924,007,095,522,802,631,975,
392,962,573,172,359,242,874,851,109,874,831,985,038,309,705,742,323,027,652,
093,159,420,333,010,652,020,167,045,287,156,490,707,945,453,353,475,151,580,
919,211,477,775,282,108,526,820,427,086,569,964,742,198,355,526,868,451,378,
805,773,125,673,798,874,876,935,820,656,499,235,731,638,127,970,273,976,302,
522,073,520,306,592,110,239,628,962,749,598,667,902,435,369,242,257,976,655,
626,946,731,548,209,275,270,667,002,443,216,998,179,936,280,335,449,832,080,
148,194,591,253,461,097,646,077,067,837,253,457,778,563,867,268,973,546,239,
531,967,546,836,093,385,097,461,410,680,715,965,615,258,439,798,920,091,518,
441,449,685,530,215,211,127,961,603,989,055,616,214,741,547,405,733,195,333,
945,418,349,464,518,912,443,978,109,851,436,053,357,019,600,280,870,477,440,
527,224,350,190,713,666,452,376,283,970,732,094,170,227,612,646,212,115,426,
458,229,719,595,384,744,414,265,240,654,788,820,714,606,980,796,788,767,583,
923,087,975,648,967,132,480,800,148,460,049,122,356,170,143,364,751,706,763,
735,580,308,536,972,592,258,621,100,934,666,042,185,850,206,033,886,607,597,
694,852,367,525,301,231,560,808,539,288,085,388,038,754,673,792,339,471,157,
098,779,730,190,479,017,680,650,738,054,861,146,513,356,062,342,880,083,913,
927,466,986,666,780,819,509,510,496,621,040,032,182,768,501,261,869,351,584,
403,787,378,019,330,316,101,022,589,288,292,738,829,082,826,682,044,226,161,
288,658,722,642,252,337,737,265,598,187,549,567,430,961,265,576,101,402,275,
221,833,925,062,528,143,539,604,726,201,424,333,675,470,732,563,897,769,804,
481,180,969,453,395,485,123,554,023,481,867,878,088,171,108,538,300,032,510,
002,353,591,501,615,094,728,328,996,475,053,665,789,087,963,788,712,280,475,
437,833,937,966,876,959,044,209,245,726,317,932,896,606,181,998,720,053,075,
448,424,592,700,500,775,208,447,134,696,309,864,100,111,787,302,106,410,180,
830,530,234,828,829,897,597,479,118,175,371,181,848,013,230,770,735,238,205,
578,536,571,684,919,199,786,772,384,149,227,605,868,152,295,063,430,413,450,
120,233,247,890,362,234,304,016,321,363,962,822,645,401,629,108,377,087,948,
485,788,458,551,938,388,225,091,608,351,222,588,776,203,108,311,483,612,113,
054,161,396,485,550,602,811,384,737,913,369,403,668,939,219,709,803,459,802,
515,678,637,690,009,920,548,799,029,279,025,975,797,216,869,742,578,410,077,
569,941,014,885,590,915,036,739,753,762,440,289,272,682,641,046,626,342,139,
055,317,305,679,455,227,020,427,410,327,899,606,850,998,535,861,880,757,613,
181,793,535,113,863,128,436,083,438,957,327,875,184,201,997,180,569,843,386,
864,082,120,941,685,274,713,467,311,976,068,678,345,940,917,129,940,449,403,
702,228,483,284,021,494,278,277,967,215,990,651,786,313,999,198,130,729,793,
819,825,278,176,596,107,230,450,491,106,096,620,860,186,414,801,792,463,515,
965,932,806,143,093,993,906,814,605,433,425,865,689,087,738,663,888,281,035,
888,734,757,663,764,859,098,353,946,432,675,661,714,895,208,480,837,526,122,
181,380,028,882,473,418,839,352,429,686,221,763,820,751,645,880,088,634,608,
754,702,056,736,652,192,441,601,076,942,813,430,507,636,782,407,606,721,365,
845,120,163,065,257,690,467,601,764,167,382,259,944,435,779,456,025,483,529,
477,942,275,793,832,295,750,277,578,253,658,423,003,256,781,860,670,927,119,
700,237,530,701,261,803,147,253,327,277,103,465,355,973,961,143,628,531,588,
228,660,126,358,096,460,381,354,503,729,022,100,774,829,594,108,798,908,494,
895,798,726,574,794,555,905,174,371,200,326,435,241,869,640,703,685,929,208,
541,586,036,448,085,721,520,715,056,248,465,655,972,198,928,687,508,024,937,
243,044,592,646,887,803,376,989,457,435,251,337,995,766,363,067,230,078,282,
714,352,327,055,613,357,851,984,298,866,583,128,646,607,875,205,944,950,504,
035,468,351,587,434,168,414,597,671,125,482,295,299,702,305,309,401,625,952,
245,422,855,225,753,876,998,098,936,908,941,973,007,544,819,930,630,183,879,
131,512,233,769,768,080,923,809,588,405,178,167,238,850,375,362,503,538,351,
925,265,430,369,056,973,780,051,458,882,707,123,043,302,556,394,859,642,210,
657,129,193,400,696,133,892,268,439,512,949,017,299,274,004,452,135,316,940,
607,329,819,335,947,223,405,886,123,227,683,373,291,723,206,900,968,494,524,
123,093,399,011,016,423,666,097,319,769,422,444,098,155,261,683,981,766,223,
850,077,345,486,526,085,601,090,010,170,401,591,442,618,788,589,702,885,060,
435,367,252,092,770,301,797,942,878,562,962,773,721,252,965,592,861,248,165,
730,516,536,100,762,597,798,215,449,323,177,082,297,974,823,763,570,589,930,
157,264,330,216,852,876,375,736,535,201,152,151,496,766,869,781,614,072,256,
358,771,053,453,384,180,009,766,481,384,036,454,619,432,406,049,981,861,244,
695,871,320,062,940,044,061,961,646,346,826,244,459,672,979,162,507,330,753,
727,950,392,933,864,114,507,445,687,507,287,391,612,368,909,263,060,859,593,
387,369,710,997,961,992,507,151,474,297,674,807,196,915,405,187,396,137,875,
328,380,094,579,735,998,171,919,271,964,296,016,906,203,957,671,947,664,504,
095,406,638,921,691,332,828,351,315,509,669,075,901,691,539,267,368,070,218,
345,724,484,049,891,384,443,283,832,191,117,093,537,904,040,598,715,085,076,
996,905,311,933,470,813,079,235,531,039,529,894,927,731,031,128,535,183,022,
961,451,564,764,319,448,017,026,894,079,567,052,374,103,516,112,606,608,672,
416,046,404,735,016,296,056,623,824,448,892,987,244,452,843,391,428,305,961,
499,032,313,869,944,716,619,195,307,582,453,639,439,448,316,656,136,927,061,
041,743,030,056,753,173,291,480,598,750,945,580,228,569,861,165,982,298,998,
757,389,687,935,191,517,440,601,459,124,865,210,520,164,377,586,800,344,171,
467,136,918,725,736,322,179,317,503,449,517,569,523,250,009,593,296,279,005,
590,340,564,879,481,389,095,266,334,083,988,797,987,534,420,583,257,479,424,
558,475,843,379,826,056,089,371,612,435,526,765,448,233,287,379,805,950,691,
766,662,742,191,240,888,119,782,755,394,027,229,353,888,607,910,306,018,672,
667,032,741,514,392,669,631,830,201,457,362,741,901,459,020,208,691,220,543,
472,649,988,085,705,837,759,063,601,429,591,393,406,542,416,194,348,704,882,
895,676,906,511,429,705,898,503,888,426,693,003,670,442,233,441,089,617,901,
135,406,045,205,056,379,416,661,781,216,016,029,975,605,108,290,271,235,394,
800,559,376,348,812,743,995,707,283,851,916,288,523,715,220,887,230,163,839,
962,780,029,899,639,730,872,966,636,710,545,326,499,069,914,002,684,060,880,
106,206,315,556,706,652,443,478,324,839,215,130,995,186,791,662,686,219,934,
394,116,202,293,860,002,553,178,385,652,421,872,993,966,359,606,359,739,726,
167,467,531,142,613,202,645,161,175,795,772,597,251,209,134,421,123,313,153,
795,331,104,246,989,423,826,084,876,087,092,646,502,817,385,933,119,356,830,
704,549,647,333,642,085,121,284,659,118,790,997,466,397,469,324,450,667,941,
348,285,574,967,946,148,065,534,427,828,924,139,546,866,906,431,329,200,738,
316,163,258,652,077,867,668,776,801,246,346,114,739,412,422,025,930,863,562,
694,865,136,873,310,069,014,586,958,228,997,547,508,420,299,481,536,227,942,
431,436,037,917,823,147,177,613,819,290,081,859,106,118,595,715,139,092,327,
036,222,395,379,957,641,303,228,082,191,597,118,704,212,379,972,213,157,591,
645,613,782,857,229,000,866,629,555,306,459,708,265,818,622,728,783,072,731,
047,135,079,815,899,723,280,497,816,996,149,859,152,224,677,565,807,984,984,
238,360,164,963,616,276,496,382,912,657,276,798,839,203,548,550,995,332,349,
817,215,084,585,852,502,954,381,631,661,297,495,651,232,199,252,114,457,384,
935,698,785,501,105,510,243,592,350,915,157,764,454,519,168,299,020,322,909,
272,324,891,909,481,291,126,953,505,908,078,986,368,081,925,076,278,171,189,
320,677,557,421,605,355,829,924,235,658,582,018,032,233,269,505,935,251,681,
010,481,594,909,134,732,961,481,327,777,954,161,959,225,526,215,759,014,017,
856,831,381,579,485,018,701,390,220,751,946,185,745,321,334,168,999,261,662,
468,711,209,508,645,365,780,860,836,402,458,077,376,751,039,550,226,863,550,
100,135,972,103,415,541,210,407,616,770,440,096,321,516,561,013,244,199,500,
028,697,058,173,652,867,322,430,611,826,302,302,269,479,638,177,015,408,142,
003,424,626,163,828,944,846,759,714,468,494,930,128,946,614,803,208,194,833,
901,426,670,872,896,519,572,923,933,039,368,443,645,570,650,087,966,296,998,
291,562,742,623,699,949,756,626,446,931,654,057,266,310,853,214,861,554,003,
491,756,223,191,664,206,595,625,351,001,068,241,053,740,126,780,930,845,288,
582,954,867,855,966,810,340,961,779,627,935,159,153,863,534,076,143,424,116,
483,280,221,929,970,872,165,498,382,096,675,240,300,432,396,364,996,159,136,
090,898,427,540,435,111,626,748,293,020,114,966,643,258,486,645,416,193,440,
709,927,280,087,722,969,683,985,002,448,424,839,681,901,808,995,258,005,293,
708,719,401,552,243,832,598,547,405,501,657,530,993,489,428,401,457,396,838,
394,271,438,047,418,606,675,846,307,921,880,161,714,092,999,543,263,798,692,
827,783,752,563,691,063,908,882,415,779,704,051,227,355,796,525,927,806,307,
824,379,293,887,737,926,536,312,453,987,234,081,973,753,504,944,509,473,011,
523,594,679,783,891,502,068,013,586,671,505,953,606,904,433,519,200,037,734,
490,864,820,556,693,855,496,711,403,918,518,441,582,524,716,153,064,011,533,
773,380,416,129,650,224,439,230,028,608,415,178,499,110,389,073,525,536,831,
824,445,391,308,669,097,132,625,742,474,637,031,762,074,892,434,104,254,028,
368,865,083,950,817,871,052,936,259,506,365,980,269,475,432,712,162,961,089,
278,069,545,600,064,374,313,347,411,503,173,781,507,252,615,186,673,068,054,
256,202,046,728,232,363,606,178,424,137,123,037,015,228,208,980,125,333,245,
848,705,346,217,261,575,386,045,239,006,255,743,960,349,670,924,663,438,753,
394,442,200,314,277,540,469,521,491,931,494,783,994,114,815,940,485,318,380,
181,467,227,101,713,407,688,506,878,085,197,180,740,496,059,029,083,899,853,
082,835,256,910,398,703,616,358,002,585,642,148,930,976,117,420,696,056,300,
364,318,118,959,586,597,651,342,404,554,096,831,105,599,742,851,639,235,794,
034,542,931,268,905,465,818,992,493,082,499,026,458,803,523,957,441,871,191,
327,193,341,441,023,443,086,090,029,077,973,634,614,786,564,188,728,312,587,
728,394,732,922,762,737,215,967,780,676,241,706,060,914,075,525,207,591,558,
689,429,253,995,902,014,911,539,399,936,653,738,863,364,966,095,791,314,163,
393,901,524,305,016,899,693,245,287,154,524,396,434,204,030,203,236,748,396,
556,120,924,861,334,120,921,969,275,263,251,349,955,269,378,244,457,800,956,
565,133,122,744,044,498,544,914,555,628,865,868,939,697,719,444,991,204,408,
119,229,219,018,752,468,671,008,467,349,415,553,856,152,341,810,815,402,429,
452,790,613,071,432,762,160,309,893,762,856,152,932,365,010,898,896,880,016,
585,714,460,043,727,518,142,131,220,435,262,229,943,199,577,078,146,473,581,
126,973,912,655,158,372,131,972,866,215,389,983,998,541,685,145,906,632,525,
191,333,629,313,215,799,545,597,430,873,941,507,679,795,110,338,449,653,347,
099,108,384,237,461,201,957,945,753,052,242,653,475,759,500,806,022,467,438,
022,037,483,641,853,347,135,338,351,652,835,249,577,907,866,931,401,942,413,
393,701,209,419,448,472,015,959,783,401,706,036,000,968,331,150,856,910,981,
205,554,784,072,241,773,568,375,413,324,084,977,075,749,487,279,237,080,148,
897,615,231,214,561,358,644,379,434,288,660,172,421,921,209,844,590,081,616,
067,821,015,830,660,163,670,296,028,152,169,385,211,840,985,232,602,348,539,
645,142,738,185,701,581,524,007,631,747,639,369,308,653,119,943,060,487,463,
931,161,098,913,639,267,931,718,182,331,246,985,723,157,213,913,949,594,785,
603,205,217,354,329,964,540,376,447,047,209,154,635,494,686,209,513,667,555,
103,142,165,546,557,627,910,998,094,890,207,104,186,614,862,450,058,033,636,
698,879,785,009,498,871,857,989,431,184,453,758,444,782,778,800,211,265,736,
077,918,756,265,919,820,360,928,458,858,178,126,687,866,356,611,431,475,147,
434,572,144,606,764,986,476,812,352,376,162,158,137,858,451,079,235,032,987,
609,082,532,052,670,890,274,669,783,226,577,384,258,543,174,286,206,311,974,
784,636,715,993,139,991,588,793,933,361,025,661,739,130,739,921,961,967,619,
934,646,221,339,442,594,182,805,433,758,039,603,175,049,321,149,142,067,667,
778,962,187,101,346,743,815,493,506,296,135,481,627,709,656,242,333,906,333,
178,564,348,244,101,945,994,727,707,572,718,846,374,596,993,806,760,893,819,
961,685,882,951,216,407,571,937,625,586,542,234,765,980,893,588,274,018,018,
165,776,282,157,053,466,664,667,153,874,969,276,013,416,151,199,096,360,612,
931,200,213,941,124,885,323,132,038,970,035,486,905,213,476,923,692,561,955,
292,895,897,115,004,970,948,197,948,630,323,099,503,177,252,357,192,072,711,
648,201,942,400,003,007,325,745,429,710,216,308,539,666,668,611,124,841,895,
472,289,826,867,513,044,783,604,051,486,906,964,641,925,336,497,558,039,775,
430,286,167,471,965,060,294,299,516,763,502,335,005,224,984,794,940,200,188,
589,658,948,793,400,159,170,134,891,618,308,165,015,835,762,459,485,212,929,
253,251,491,336,154,269,844,868,339,438,135,771,305,714,112,494,841,483,414,
638,569,835,715,009,297,908,466,471,009,727,832,159,322,559,480,459,142,402,
939,806,679,211,443,773,754,600,238,902,102,556,587,468,056,351,114,982,773,
508,827,139,764,448,208,183,539,058,940,924,732,464,553,594,989,757,844,953,
791,832,407,214,699,967,643,823,143,098,567,096,097,894,672,680,280,197,440,
064,067,606,010,868,672,065,754,439,058,215,228,590,234,771,508,472,478,279,
749,253,808,066,353,360,223,169,929,193,119,617,328,145,236,105,160,276,359,
099,620,677,492,805,521,285,341,219,888,374,592,973,465,770,551,932,881,786,
659,633,122,748,174,846,590,793,706,121,831,595,696,497,467,423,900,679,909,
513,958,412,490,191,418,850,668,022,164,768,066,023,486,769,399,935,397,970,
923,464,114,687,358,883,400,203,213,580,980,660,599,617,810,673,513,499,966,
556,694,905,152,249,433,966,440,730,796,417,666,163,502,818,470,494,294,062,
055,118,060,184,403,943,822,564,577,529,061,155,797,117,986,331,849,936,891,
767,795,439,656,184,354,660,213,302,668,083,521,210,685,643,035,908,278,347,
684,575,222,382,594,277,613,960,018,486,174,066,512,722,171,299,545,369,367,
998,258,914,827,408,206,483,189,758,123,745,173,463,689,108,395,532,801,896,
172,316,777,105,475,881,514,716,132,515,339,944,668,642,206,293,023,183,403,
728,951,576,170,652,794,485,755,547,949,681,839,042,988,111,602,554,517,861,
990,933,781,783,120,193,749,615,095,870,054,548,597,259,459,766,136,572,663,
692,996,850,833,288,547,579,210,567,185,438,658,802,421,221,551,763,322,272,
733,752,604,704,562,495,814,476,187,033,904,780,557,594,293,311,383,458,305,
949,454,588,776,987,825,719,827,398,223,855,697,116,923,996,014,447,816,578,
628,971,402,951,166,658,646,387,249,726,840,499,709,747,299,162,211,682,265,
562,599,078,891,191,655,279,408,705,710,243,146,187,592,467,250,974,033,948,
304,299,641,169,141,078,232,433,837,677,847,964,378,409,764,460,716,610,728,
222,434,013,371,147,241,587,421,137,812,303,120,043,911,920,503,449,736,776,
418,000,899,750,151,388,004,533,668,050,601,284,901,813,656,834,840,641,705,
521,824,073,839,573,343,296,952,684,388,529,770,670,658,268,910,293,654,243,
815,466,326,759,578,447,941,300,931,753,408,278,804,760,629,243,547,663,703,
544,625,977,258,294,905,261,150,130,582,952,583,702,371,803,300,459,224,303,
259,666,475,041,386,551,076,264,092,154,681,775,240,924,254,219,863,496,230,
400,950,460,307,537,158,143,809,033,868,105,116,249,777,938,407,108,580,662,
942,029,933,248,448,745,281,562,053,986,554,088,806,944,808,090,027,479,190,
694,457,378,473,812,122,451,966,368,561,016,908,569,050,490,784,505,724,022,
905,467,337,649,710,236,674,589,600,223,240,278,714,851,863,496,341,129,116,
494,171,809,816,760,991,130,431,271,948,893,792,849,936,623,597,930,809,279,
536,505,843,759,094,359,182,515,600,300,498,136,594,052,081,886,221,455,926,
402,911,594,637,785,537,706,358,695,424,854,639,355,974,189,463,858,211,377,
360,208,674,057,743,803,830,848,597,587,432,440,910,708,601,487,198,089,429,
765,978,042,757,905,981,824,969,441,343,391,348,104,176,443,096,275,197,546,
456,635,472,061,126,464,372,951,198,367,952,750,047,779,551,700,264,029,200,
536,737,587,150,296,525,315,605,619,080,309,172,114,382,199,613,172,650,308,
457,006,423,598,777,062,669,473,844,564,069,050,863,523,513,716,653,445,200,
075,740,726,381,546,355,277,915,309,902,109,511,967,398,345,710,361,751,130,
144,929,135,351,701,526,537,608,992,436,147,095,361,439,344,445,492,355,730,
107,575,784,224,111,463,351,459,127,966,901,879,118,103,952,382,929,146,644,
590,873,383,490,363,808,820,411,578,846,933,518,193,880,370,815,320,186,617,
205,778,505,787,667,812,837,661,123,354,179,017,961,100,126,426,790,701,723,
698,022,724,449,093,929,282,362,928,819,216,169,017,577,687,457,629,715,263,
113,841,499,449,180,728,583,314,326,442,558,974,104,337,557,296,995,241,767,
973,002,243,252,287,261,338,278,020,804,399,769,902,309,859,965,121,432,356,
932,671,018,039,927,821,298,677,159,473,435,613,965,472,584,594,221,424,563,
360,600,492,282,627,709,597,914,420,254,866,856,053,257,122,438,304,130,053,
975,807,106,837,723,189,269,437,517,762,114,867,172,776,332,304,577,122,954,
903,379,905,466,689,671,666,270,384,067,542,522,020,459,190,506,117,306,675,
997,005,868,935,093,866,336,867,782,157,177,729,881,105,342,201,176,335,018,
361,313,611,603,294,336,745,870,791,872,929,971,564,768,068,420,540,310,947,
351,933,842,253,951,374,521,355,986,692,589,274,843,993,767,138,763,600,361,
774,953,971,976,289,919,588,764,952,065,228,229,876,386,258,978,221,129,361,
000,917,362,806,584,429,018,417,777,348,724,974,967,147,121,081,227,432,955,
506,921,377,901,008,152,343,509,511,420,107,466,445,960,343,388,787,837,068,
464,832,677,891,375,392,653,260,917,011,780,361,534,657,214,932,796,283,130,
705,751,792,694,502,894,929,003,437,770,468,102,215,429,804,793,525,712,891,
221,583,473,046,815,161,471,005,356,219,929,547,547,357,145,532,710,983,536,
476,436,724,019,397,151,747,859,068,875,194,611,806,669,785,246,168,106,191,
567,742,418,428,694,202,603,643,749,298,596,879,741,557,098,372,947,048,169,
388,419,915,436,747,655,521,752,246,130,884,736,947,463,692,188,129,126,638,
475,397,460,171,268,754,978,733,613,628,279,783,350,247,231,850,832,801,831,
067,901,924,726,671,785,949,484,778,366,402,226,906,084,218,638,458,474,508,
741,941,747,540,088,495,933,101,557,950,848,782,367,338,446,374,865,587,500,
039,044,980,254,827,974,322,771,343,315,265,911,166,283,220,402,945,935,193,
038,267,419,040,167,764,460,695,364,292,823,564,936,767,845,102,464,360,623,
197,596,279,595,167,816,703,621,252,138,945,587,906,565,909,273,977,558,462,
080,952,073,571,691,849,031,870,225,812,668,800,596,299,653,139,332,696,431,
842,543,291,456,929,653,241,188,445,675,514,759,982,328,959,558,500,944,008,
862,992,111,511,370,434,258,883,273,715,777,293,504,299,707,745,432,689,527,
957,108,254,795,846,777,907,897,957,394,566,880,492,590,145,947,052,971,387,
645,200,174,876,507,313,272,007,573,030,608,874,796,419,556,524,819,592,690,
758,022,783,915,896,566,530,014,913,080,879,440,959,505,768,715,540,720,151,
828,121,106,645,046,342,026,253,868,279,138,492,561,822,940,744,954,171,398,
589,254,876,571,713,129,172,660,026,021,552,985,252,091,696,455,045,396,104,
435,441,095,905,940,876,053,616,376,634,537,542,297,240,246,812,447,233,321,
128,525,986,784,551,863,122,415,681,303,812,248,229,002,169,841,382,903,845,
744,294,290,782,695,117,290,542,710,134,097,030,633,823,327,222,557,990,380,
819,000,048,966,993,431,164,990,110,607,496,376,436,777,567,151,014,834,720,
180,880,282,568,569,522,076,740,361,450,558,271,678,908,682,143,730,192,322,
655,150,221,726,715,892,130,370,375,063,727,244,979,453,036,458,562,677,690,
604,738,281,266,857,377,549,964,613,972,743,618,205,739,481,075,569,478,339,
660,672,273,297,426,489,274,128,510,767,004,534,264,544,601,881,423,428,608,
525,069,571,587,272,506,626,994,941,361,582,338,523,592,460,426,081,974,268,
990,916,905,298,288,788,119,481,153,519,503,611,422,122,258,360,567,204,126,
492,418,979,037,248,396,078,750,128,351,299,089,112,883,281,984,002,208,804,
611,868,036,128,715,467,780,119,029,736,208,875,332,248,291,172,894,033,292,
693,978,348,554,134,891,154,752,431,099,328,527,083,819,063,744,604,035,014,
430,963,065,359,903,997,710,885,917,733,832,484,474,108,685,377,065,006,384,
549,045,661,011,606,347,853,332,817,048,417,466,651,842,461,024,995,144,721,
592,922,670,486,520,380,034,978,235,566,384,215,575,455,221,645,843,934,232,
074,311,973,733,168,099,763,262,783,969,003,840,167,969,555,770,394,811,308,
120,989,748,407,329,707,198,051,042,723,236,640,206,467,105,808,424,817,132,
480,695,180,810,541,914,757,237,800,832,198,676,198,689,749,770,233,592,752,
001,931,620,584,726,666,984,839,376,374,033,673,194,305,648,679,261,652,519,
239,987,718,206,098,239,372,080,453,238,487,267,669,150,275,978,104,495,378,
580,971,094,790,083,871,303,504,628,199,893,816,399,792,416,284,535,364,075,
795,980,514,962,671,069,862,395,334,170,042,892,122,521,237,230,982,831,431,
382,133,247,612,167,240,297,163,280,337,587,709,703,542,558,547,100,467,884,
973,417,515,279,982,328,034,182,332,001,589,972,565,476,809,969,933,242,756,
072,978,852,493,660,939,121,194,852,433,045,172,195,573,994,741,719,397,113,
425,822,593,424,577,649,005,589,587,365,646,238,307,834,907,499,345,513,185,
703,632,679,440,103,706,060,976,237,006,573,342,927,695,243,951,225,586,492,
977,302,536,667,591,570,153,861,988,218,613,224,419,118,558,008,257,235,186,
666,295,200,620,668,528,669,883,943,535,557,831,885,233,853,527,760,769,299,
970,132,672,160,927,502,725,795,787,145,041,532,522,394,414,341,785,010,479,
414,500,526,702,698,082,851,490,241,940,110,687,520,378,882,530,708,010,923,
804,279,434,365,070,646,145,902,727,039,985,960,098,203,185,933,331,629,195,
843,471,623,260,144,048,069,397,980,183,688,591,474,392,287,315,444,577,013,
974,286,243,126,730,657,821,223,260,802,339,010,466,278,916,112,410,576,394,
848,575,033,559,647,524,389,038,858,807,531,091,030,125,237,210,533,737,151,
179,227,804,021,363,362,029,625,635,194,960,867,049,641,972,850,412,699,086,
805,889,516,241,958,033,824,882,776,719,131,776,097,858,849,870,558,629,368,
741,822,896,688,045,801,624,432,978,767,292,902,718,395,163,419,256,861,556,
498,355,408,206,514,443,459,694,911,375,943,747,083,060,043,808,498,108,177,
120,439,900,895,390,339,284,851,710,127,612,461,115,923,728,188,861,443,509,
589,471,577,142,264,802,785,599,672,651,523,146,590,628,326,978,032,496,790,
074,098,026,134,515,191,769,614,697,375,794,560,046,436,882,681,687,085,299,
503,534,150,322,910,213,434,452,829,681,400,119,112,326,552,413,299,737,463,
192,339,703,944,094,849,923,377,186,323,526,591,915,244,213,507,589,219,284,
367,106,103,845,550,624,963,341,579,976,472,843,306,777,316,027,554,638,754,
727,328,964,163,120,672,568,407,691,786,218,092,225,852,441,759,454,411,929,
228,758,381,812,168,565,033,937,019,138,617,136,373,385,661,636,365,802,909,
990,122,096,011,858,589,571,533,762,910,673,367,038,300,550,782,477,254,289,
496,614,036,601,514,428,587,425,473,264,807,709,234,535,227,627,221,177,543,
857,377,681,805,983,526,334,229,342,112,329,961,546,110,397,620,360,464,142,
054,975,873,324,352,185,465,793,043,437,476,839,724,862,841,747,612,348,131,
007,786,575,678,350,246,657,100,633,289,074,905,057,574,621,479,474,646,207,
019,610,063,181,954,103,897,826,214,113,022,163,235,812,342,415,221,541,699,
320,497,278,819,044,784,836,094,153,375,804,885,919,825,856,623,196,110,410,
734,429,170,369,965,338,818,615,037,754,641,255,923,711,610,531,259,284,667,
585,500,599,949,129,565,510,881,776,746,630,899,740,110,536,016,817,540,154,
587,833,429,758,500,763,157,933,206,385,416,538,512,104,102,869,131,792,534,
776,946,436,976,684,487,988,344,358,714,958,825,750,527,875,230,621,964,664,
363,335,942,885,539,302,847,744,662,275,839,042,855,513,320,672,273,963,371,
164,825,345,955,449,872,203,392,364,383,205,379,821,904,728,472,924,431,511,
380,941,337,359,301,997,443,443,684,508,408,386,876,249,763,584,912,823,212,
164,548,786,405,620,374,529,550,415,253,309,845,469,753,239,850,282,049,306,
730,191,148,127,724,437,168,168,118,487,964,127,727,740,359,669,300,445,141,
707,972,142,375,822,608,853,902,028,850,359,099,239,613,294,532,981,186,163,
084,198,499,446,762,977,075,017,575,586,469,743,836,744,877,075,894,865,590,
764,147,575,184,839,535,026,158,971,507,777,600,159,996,692,905,105,517,595,
771,290,892,661,149,724,252,597,885,284,933,517,224,375,790,896,782,001,349,
999,982,379,349,295,235,711,005,024,619,691,981,660,461,295,045,026,670,462,
548,589,040,436,145,795,986,907,259,153,996,713,112,334,617,744,592,362,079,
686,656,607,807,813,866,895,984,969,321,267,300,034,318,105,257,324,804,567,
602,962,495,073,338,723,794,661,064,068,148,267,948,863,772,454,024,652,282,
447,346,675,871,947,366,738,262,412,132,410,311,870,220,220,529,126,355,985,
490,496,767,116,681,469,421,100,195,066,804,978,123,901,298,017,978,932,011,
772,029,315,581,733,327,652,911,265,063,557,852,682,550,326,609,683,583,149,
740,894,950,723,665,793,857,818,545,303,374,660,843,435,900,657,376,572,647,
585,259,740,909,338,883,493,653,045,152,688,495,766,172,107,028,469,026,597,
945,652,619,421,605,526,179,470,132,961,496,405,794,595,963,699,969,084,790,
049,790,165,661,737,364,444,415,009,022,624,472,346,646,337,498,440,113,109,
660,004,514,842,687,787,990,672,704,076,246,721,265,034,143,918,238,433,668,
768,889,974,260,625,192,900,938,904,884,242,116,949,950,375,131,139,236,021,
335,261,899,456,645,300,323,679,560,174,519,537,268,248,084,939,046,750,680,
292,087,732,391,721,928,251,577,380,738,306,087,938,563,293,911,887,932,514,
295,538,448,149,209,390,456,760,989,969,874,719,177,079,190,193,041,772,134,
464,412,022,183,299,386,914,108,894,805,883,921,973,679,919,549,639,110,627,
739,781,736,185,616,802,296,554,936,357,301,313,780,250,470,030,359,722,296,
672,836,722,711,044,423,386,968,565,735,963,103,212,093,286,357,771,016,427,
297,390,242,757,109,119,041,248,587,343,196,063,672,902,317,222,782,079,025,
567,576,738,408,491,152,031,260,089,872,949,834,460,300,956,363,495,717,275,
517,683,375,997,417,443,736,814,526,728,825,186,549,995,758,054,595,877,513,
826,561,143,935,803,354,938,627,084,954,793,332,455,912,792,388,149,323,626,
434,451,016,656,380,711,398,416,048,337,450,873,046,318,038,428,087,324,530,
167,868,361,645,416,267,585,169,461,930,798,716,707,077,497,387,562,529,448,
537,243,685,136,030,148,465,692,097,948,867,461,619,939,046,398,193,366,759,
643,819,318,675,464,347,233,440,428,250,200,491,448,332,221,759,895,184,921,
792,433,913,117,977,917,513,343,632,509,405,863,354,434,801,630,806,122,757,
997,287,313,921,854,631,513,415,859,540,064,114,554,605,523,604,441,833,612,
533,096,257,296,264,018,656,582,517,766,679,987,430,855,616,123,892,069,613,
299,663,183,070,788,750,407,857,715,534,670,273,094,051,594,202,347,694,291,
659,342,545,222,576,819,284,732,734,219,822,317,499,574,441,154,619,159,686,
610,616,520,440,676,016,252,572,526,635,192,820,168,487,457,906,069,782,782,
092,749,082,390,406,085,163,992,390,379,862,930,058,586,710,870,220,495,318,
490,294,334,749,419,602,351,424,522,901,880,361,003,578,838,388,856,170,229,
581,003,873,023,960,506,625,322,223,789,290,529,742,117,397,902,766,572,552,
960,328,756,146,856,043,297,443,733,291,759,045,600,615,296,014,628,066,723,
148,386,723,058,930,199,574,011,742,127,266,447,658,722,101,332,179,450,537,
806,326,431,160,127,220,461,217,622,473,780,570,175,627,929,878,709,449,092,
257,805,856,546,770,961,170,540,413,169,079,659,917,509,837,505,287,450,855,
468,951,989,562,849,792,146,435,732,541,518,244,651,145,736,608,137,783,552,
895,693,263,783,895,575,036,355,457,655,926,883,378,340,770,237,647,772,830,
833,449,333,973,722,889,421,261,429,102,417,658,954,930,747,365,890,408,968,
453,968,742,988,356,981,306,599,303,099,678,100,893,739,439,276,059,678,342,
843,988,695,662,671,199,129,858,582,480,081,817,792,483,726,552,851,574,303,
104,347,256,898,049,413,827,880,309,060,563,581,719,328,456,854,057,719,204,
669,409,339,666,344,970,290,779,716,817,576,869,093,619,648,947,889,606,063,
572,420,436,109,285,578,408,663,271,310,933,331,196,145,511,264,714,268,652,
953,830,771,721,955,945,098,112,116,727,221,528,254,529,020,962,189,823,662,
989,929,453,026,208,480,547,892,132,780,000,265,814,346,094,329,843,351,590,
323,583,124,596,997,580,684,974,270,104,701,494,972,383,771,197,913,853,627,
679,084,615,705,188,751,364,573,943,317,542,703,868,279,506,602,314,404,939,
428,352,197,475,995,180,282,731,312,634,737,301,322,533,335,923,224,382,697,
694,781,446,232,901,807,522,685,539,791,485,070,631,885,563,109,099,662,324,
040,646,976,300,023,520,697,469,876,397,306,240,166,614,717,097,643,195,627,
842,560,525,346,916,031,865,971,548,561,415,081,838,465,346,108,544,513,477,
600,233,445,499,558,798,376,521,784,541,372,951,893,417,115,469,642,109,917,
927,816,740,013,299,155,650,458,252,846,974,179,702,365,028,478,330,708,367,
131,880,331,069,485,923,890,305,881,542,167,470,506,545,068,199,092,716,936,
758,749,455,957,531,966,392,694,603,978,083,917,777,279,483,726,371,478,701,
683,807,647,760,498,464,520,550,039,953,804,508,778,196,514,687,410,118,697,
713,887,430,918,786,845,640,394,912,467,528,513,747,936,075,517,543,151,968,
864,525,946,583,138,222,332,898,478,802,519,494,267,051,679,772,856,127,238,
011,493,036,384,515,652,683,187,310,818,547,018,982,829,646,987,561,419,411,
146,596,525,933,196,411,896,561,820,008,836,088,540,158,059,507,166,328,647,
306,143,226,582,381,846,406,430,051,961,497,603,035,620,982,992,960,472,110,
580,511,078,891,723,113,315,989,775,129,722,033,990,257,714,499,939,568,850,
558,941,830,666,890,515,031,191,068,267,426,810,864,824,856,631,018,205,377,
664,735,406,640,474,639,030,084,902,535,469,931,211,658,404,927,043,525,293,
621,379,991,632,581,289,807,344,502,340,785,989,006,490,890,178,729,165,907,
669,935,367,417,582,468,224,950,827,170,587,788,409,472,625,608,304,320,105,
374,677,996,872,881,701,007,229,602,231,246,231,511,662,174,553,260,187,608,
198,166,777,394,345,493,019,103,235,900,558,275,271,852,737,587,055,436,865,
834,339,074,323,542,072,527,655,566,751,184,398,168,238,101,625,236,665,689,
233,871,252,336,449,114,824,052,948,143,782,222,069,258,140,388,005,894,682,
449,131,520,844,472,505,092,038,679,045,294,110,571,096,726,059,788,742,691,
632,052,058,562,133,340,161,438,955,439,462,825,904,177,083,071,514,317,495,
445,229,910,441,768,951,302,976,793,188,851,805,859,625,592,892,442,309,180,
777,758,845,323,645,769,274,494,341,797,538,813,465,008,988,331,300,830,335,
960,811,225,897,542,540,527,515,431,148,831,690,915,592,102,575,893,487,763,
837,541,270,850,128,188,671,500,519,872,234,407,443,806,123,137,020,852,624,
851,047,625,167,553,133,811,916,182,487,937,633,695,589,443,702,129,284,856,
425,935,661,477,976,737,738,320,271,307,405,389,746,111,194,034,601,574,301,
251,292,286,784,568,221,412,592,952,085,344,207,914,238,800,872,052,712,547,
191,097,307,748,178,821,153,090,808,649,884,825,429,720,654,750,699,704,634,
576,272,506,007,975,743,174,959,566,860,306,778,981,621,956,859,857,809,059,
457,931,954,619,974,644,957,546,339,514,621,639,289,579,156,144,459,044,476,
981,738,411,870,925,325,717,423,661,463,536,751,454,735,246,543,670,745,140,
402,630,563,859,136,218,150,616,326,545,798,644,240,721,398,730,147,652,495,
780,195,645,076,492,941,827,792,479,687,745,100,800,433,478,187,506,753,209,
066,430,047,515,983,976,553,835,036,255,237,980,261,886,377,698,196,063,868,
922,773,442,657,528,872,699,345,104,571,891,427,582,727,059,403,560,485,012,
269,488,005,668,531,535,020,799,224,289,558,946,198,952,570,983,670,763,481,
386,346,623,594,762,203,443,637,947,106,065,565,299,030,646,049,844,323,497,
847,177,928,582,758,491,765,948,919,610,272,001,988,140,730,015,378,684,302,
337,203,452,911,620,184,248,729,818,206,462,154,737,413,037,277,216,390,969,
504,226,489,927,971,390,336,346,590,631,188,485,092,180,180,435,206,114,551,
461,598,938,666,652,084,222,964,872,883,456,370,440,409,656,951,149,633,760,
710,182,684,027,064,152,786,922,531,868,852,967,039,772,343,399,713,973,325,
578,740,366,962,963,210,941,675,071,524,378,224,291,001,863,001,851,974,459,
834,133,566,205,153,846,103,047,801,449,881,147,428,040,703,882,713,912,660,
753,164,356,626,832,705,471,218,952,569,144,428,588,277,822,680,724,077,752,
577,668,249,165,395,627,393,746,267,725,880,441,716,164,459,625,651,318,971,
298,828,830,681,072,849,929,554,193,452,348,697,861,686,744,526,655,196,679,
760,914,953,214,260,446,664,742,131,656,530,830,279,779,228,794,054,527,062,
021,894,726,359,213,271,338,488,915,998,173,357,167,244,498,570,001,968,287,
518,724,843,423,297,562,154,589,336,625,210,407,395,101,568,243,852,591,367,
842,018,438,440,491,343,916,231,014,699,286,175,348,702,862,575,589,395,143,
964,444,226,161,778,282,059,708,450,157,135,348,511,856,857,185,215,436,279,
526,251,036,078,240,898,883,299,341,631,844,204,632,510,547,386,493,398,476,
294,577,383,085,925,979,510,567,021,041,376,227,123,951,221,586,833,209,473,
526,453,625,104,431,360,765,915,364,043,912,253,416,032,198,300,916,190,961,
429,768,183,524,356,656,556,714,562,436,823,251,936,299,923,576,814,619,686,
350,448,710,399,857,647,512,201,134,988,133,399,251,454,560,561,647,662,982,
312,478,448,114,259,615,005,567,445,140,266,673,471,154,203,043,307,646,374,
674,218,245,897,438,190,402,119,989,272,590,546,655,003,420,669,307,455,177,
805,833,791,660,770,969,811,336,374,266,094,808,746,976,457,932,688,460,481,
132,911,863,725,679,387,151,141,135,236,272,081,652,193,455,828,066,568,074,
324,202,815,410,191,008,449,077,108,717,270,983,924,012,491,493,556,282,826,
518,359,640,782,854,938,406,012,369,017,277,445,478,330,117,197,466,001,080,
112,088,680,628,584,461,583,336,881,920,261,458,202,692,583,009,918,476,213,
888,127,730,002,360,016,852,332,415,438,048,643,880,526,932,568,760,449,007,
720,936,676,380,247,563,329,905,014,480,115,729,391,441,612,995,259,240,606,
166,699,496,715,143,933,732,874,781,181,685,703,683,284,801,513,919,181,884,
433,789,703,196,370,106,105,812,908,638,141,385,993,646,032,805,799,050,573,
136,214,090,950,409,759,980,987,241,367,907,773,431,350,187,540,069,011,293,
977,726,511,090,386,835,483,750,166,592,236,858,143,624,820,650,416,948,375,
276,981,806,512,108,558,300,497,321,267,416,293,749,321,692,855,283,960,945,
663,978,632,025,004,341,536,556,023,500,462,608,306,478,357,903,360,997,501,
100,047,241,309,892,943,664,131,233,857,320,506,846,141,751,177,380,756,152,
408,585,679,987,650,969,424,349,247,431,077,504,335,942,615,986,390,219,621,
007,771,250,348,795,238,519,152,493,949,824,064,692,051,144,766,659,922,245,
920,167,985,697,011,865,510,644,651,646,215,453,654,396,021,927,081,560,368,
755,727,878,957,672,480,836,116,542,970,410,158,587,609,794,105,086,087,264,
117,403,378,246,201,110,923,600,074,473,906,535,249,016,414,324,700,782,118,
070,835,322,139,529,052,436,242,725,107,969,542,690,963,451,238,005,806,149,
163,034,732,648,987,348,103,134,377,598,680,908,309,295,408,625,153,129,272,
444,544,687,075,401,263,111,624,797,085,555,914,250,384,153,936,025,054,749,
654,661,127,391,586,486,058,706,941,485,142,206,984,985,622,141,315,237,790,
486,668,722,921,667,450,797,097,864,066,959,384,424,390,943,825,841,478,741,
921,040,438,449,057,586,356,319,644,428,669,299,672,072,489,677,262,704,224,
305,693,216,803,235,854,780,744,747,232,627,909,194,680,299,483,520,682,515,
875,179,052,535,821,407,407,542,915,028,515,448,161,971,650,843,103,117,147,
498,097,156,012,391,663,993,108,663,732,788,905,953,021,394,582,553,450,476,
362,992,803,074,975,161,074,868,222,289,617,842,270,419,412,777,410,034,507,
152,879,932,413,322,398,774,052,333,793,414,158,102,704,889,173,637,054,692,
009,484,072,876,727,471,004,283,326,716,457,131,231,720,377,047,045,841,197,
172,474,387,186,693,065,445,443,593,762,890,200,839,842,839,055,839,735,429,
265,903,947,703,347,294,105,758,314,340,187,373,725,525,437,280,704,980,445,
833,333,474,776,545,639,132,208,649,525,113,138,554,501,487,114,846,260,095,
673,952,397,925,922,770,706,028,243,816,330,504,963,043,320,353,743,552,578,
726,687,647,157,332,776,742,938,637,013,269,596,096,910,826,788,239,141,112,
291,698,948,751,087,176,877,274,604,941,036,897,719,892,177,533,057,331,333,
079,894,140,935,385,485,389,859,834,192,402,012,961,263,995,357,282,420,019,
147,029,819,195,970,350,088,678,524,906,380,347,735,137,888,979,601,946,389,
512,626,658,645,440,250,737,133,015,583,237,980,725,559,317,769,494,769,952,
115,707,562,664,317,018,615,129,382,508,923,439,519,950,251,032,932,144,971,
000,092,671,456,520,558,281,491,710,305,304,860,122,905,070,653,421,647,427,
826,634,556,690,354,920,606,801,664,293,902,152,825,429,942,913,126,400,197,
044,926,056,320,828,314,662,703,379,707,433,026,658,064,037,576,680,743,764,
389,396,171,795,262,306,499,810,619,954,474,594,854,407,015,460,156,767,394,
300,844,479,199,317,405,128,725,598,803,506,267,117,764,345,059,505,971,526,
094,532,758,084,563,549,102,175,950,011,831,935,171,414,425,327,638,646,081,
169,644,283,486,054,716,048,669,568,015,452,125,653,204,618,469,683,883,920,
289,715,215,418,392,739,243,439,380,082,108,448,385,919,528,952,136,610,213,
103,073,947,284,634,114,245,601,716,889,177,647,209,158,584,207,682,033,270,
845,582,442,729,446,288,915,004,776,992,142,990,929,784,017,244,723,110,215,
747,879,857,978,650,232,466,958,169,207,407,433,357,016,459,306,453,580,692,
374,957,583,054,321,938,290,752,306,911,594,303,260,102,950,559,735,993,990,
172,460,924,088,522,604,107,788,551,238,407,811,353,324,620,033,639,071,897,
577,465,973,673,776,338,220,718,759,863,458,009,206,456,726,483,801,596,487,
503,794,509,510,267,913,942,050,931,290,247,670,863,994,457,750,251,266,214,
994,309,944,037,943,486,480,417,357,714,486,890,815,106,577,360,199,507,906,
830,064,476,267,277,109,868,708,939,649,196,775,875,637,244,111,482,298,977,
689,964,493,988,956,082,596,154,381,757,057,168,910,950,752,003,661,212,765,
957,660,814,990,776,348,136,171,461,284,496,929,251,613,136,633,968,534,456,
554,188,269,076,869,682,238,721,407,995,472,152,268,343,026,365,365,071,978,
269,359,850,808,648,219,720,104,730,174,387,816,499,548,831,628,024,487,205,
607,057,365,079,813,370,611,428,659,515,378,001,471,886,801,251,087,493,393,
143,859,858,594,314,071,521,485,591,713,783,542,663,249,014,182,735,847,837,
346,198,447,520,395,465,276,040,802,118,944,290,223,164,409,996,889,820,147,
510,584,255,094,667,285,057,615,241,149,692,813,565,385,910,487,434,825,405,
275,932,813,244,864,312,337,066,961,849,095,631,937,823,880,409,973,896,007,
026,628,384,871,750,341,573,072,230,182,382,781,218,088,810,721,419,414,126,
729,814,855,140,720,294,394,535,429,333,998,710,466,834,752,238,867,818,327,
146,939,967,397,230,762,505,416,015,199,510,107,149,747,479,480,314,198,377,
856,995,883,580,945,090,476,756,145,350,462,178,744,318,477,441,343,208,579,
857,323,443,869,530,010,303,698,753,842,696,199,331,414,032,275,784,845,385,
187,132,082,078,814,116,537,654,387,753,495,562,560,018,615,812,009,187,879,
063,344,172,075,993,774,055,773,284,475,331,586,110,564,351,977,491,396,492,
913,629,666,277,233,826,938,464,911,743,068,340,597,379,590,028,489,671,034,
050,057,247,117,824,299,118,423,971,487,664,913,018,409,845,097,861,269,527,
583,593,617,517,503,945,770,478,109,603,131,561,766,946,493,485,247,861,909,
955,596,801,325,346,449,759,912,178,393,121,971,726,233,906,562,327,841,938,
208,889,882,946,351,848,569,032,881,385,660,210,284,160,361,882,771,666,772,
582,655,702,944,069,075,098,304,672,374,621,318,981,155,200,902,420,310,500,
593,627,334,588,593,751,001,480,212,530,216,001,230,636,396,613,814,718,543,
261,276,964,532,967,874,203,757,708,658,033,223,218,812,431,145,475,233,282,
278,151,980,121,445,393,651,165,097,427,346,677,878,948,370,282,993,943,905,
475,818,571,513,272,444,494,976,252,486,899,631,283,409,984,227,333,848,843,
764,318,480,750,186,022,227,841,576,061,212,398,658,988,861,802,329,383,409,
921,842,609,225,841,262,761,971,790,019,335,357,765,921,315,862,375,872,509,
093,185,072,461,039,208,828,290,124,721,982,029,042,695,851,020,196,428,091,
616,588,831,406,852,255,852,217,567,550,925,450,866,201,831,475,162,295,908,
441,182,562,933,814,125,247,958,829,600,136,841,563,260,136,209,078,926,696,
432,172,879,021,288,679,479,735,361,248,564,123,487,070,997,746,515,863,946,
161,645,556,579,843,132,748,179,603,741,015,039,796,741,153,687,969,046,322,
707,681,251,462,351,070,053,755,542,237,018,003,915,662,106,516,967,843,022,
575,449,909,892,447,890,590,513,332,869,745,621,791,308,022,944,143,786,986,
841,104,201,100,708,148,926,123,304,592,716,393,026,784,748,678,620,546,441,
557,273,954,379,705,012,167,030,413,228,650,887,568,022,248,296,881,340,883,
604,407,191,884,490,380,581,532,633,307,476,614,432,579,029,620,976,792,890,
939,707,691,657,866,744,150,266,262,626,931,940,507,151,891,596,453,708,746,
908,047,909,618,698,348,963,680,317,230,707,217,293,338,586,747,674,568,322,
020,964,065,472,759,411,045,324,710,008,368,789,463,242,495,051,340,541,732,
019,713,673,055,993,447,845,912,686,460,722,160,346,925,735,099,728,872,083,
995,605,878,146,069,998,154,081,480,905,659,649,639,033,251,233,282,727,746,
581,111,783,869,385,392,544,979,319,386,342,589,786,343,577,026,264,061,161,
670,199,116,104,513,173,939,351,073,963,915,994,994,693,608,005,844,995,764,
568,167,966,837,154,614,565,088,766,315,211,092,926,979,681,761,008,930,870,
849,876,683,929,006,763,660,799,944,935,610,487,806,065,718,107,198,554,068,
948,471,013,644,762,819,003,438,819,344,159,035,634,779,965,834,676,169,072,
261,108,277,245,323,828,909,563,176,446,434,010,355,603,512,905,507,851,110,
033,879,848,117,218,401,580,774,871,191,325,686,991,947,266,808,199,450,740,
261,883,839,166,960,109,391,396,812,684,551,899,823,237,110,031,157,985,975,
538,578,866,136,450,036,298,684,777,103,447,572,813,740,375,932,948,389,587,
274,454,123,849,629,910,190,281,694,961,633,335,584,928,342,744,867,236,555,
316,000,788,105,628,958,292,071,063,284,044,421,346,139,374,890,006,737,875,
432,730,364,062,586,470,980,038,804,686,411,829,726,384,432,376,914,398,470,
456,318,436,145,115,584,332,055,078,294,431,395,967,218,532,471,313,737,418,
284,181,671,607,774,264,310,951,850,877,486,136,603,973,510,264,831,144,452,
624,053,146,971,574,532,397,711,431,211,804,296,961,390,701,117,187,090,859,
917,660,768,015,421,490,954,647,935,678,271,417,908,973,980,742,650,446,457,
080,111,440,052,753,242,792,391,174,992,923,836,565,310,090,045,097,887,819,
709,105,058,091,908,385,672,608,868,406,385,655,417,889,011,309,337,208,285,
932,863,846,438,752,652,877,905,325,162,585,659,212,110,184,383,112,366,641,
895,863,201,591,517,708,677,810,952,809,547,619,534,620,625,987,182,237,489,
437,326,075,458,029,014,903,020,319,356,583,819,159,923,558,906,334,667,751,
009,127,031,787,092,429,311,599,100,566,823,954,238,327,547,585,593,677,637,
613,960,509,272,726,906,811,708,259,835,535,712,741,929,533,892,199,299,811,
411,923,391,893,568,179,507,633,666,653,126,285,016,668,821,966,405,716,677,
168,256,252,808,745,145,924,904,575,994,327,844,517,399,424,237,136,389,078,
707,753,142,111,603,066,092,908,957,000,577,718,754,565,813,272,572,188,028,
367,713,186,842,529,574,720,116,505,905,772,674,869,246,460,611,775,732,524,
367,802,538,373,869,522,866,639,248,951,377,233,346,087,043,401,308,112,211,
056,139,875,059,274,565,651,068,168,133,147,431,434,934,744,675,062,014,862,
984,101,838,759,921,060,313,250,574,173,907,418,364,774,129,774,680,268,113,
895,275,525,384,118,404,859,378,146,882,478,144,235,982,133,148,698,328,659,
969,835,572,872,095,225,983,233,457,092,210,725,651,847,293,059,232,827,200,
943,156,238,883,522,503,377,646,788,355,386,721,586,431,182,550,138,948,961,
435,519,640,157,508,013,838,779,268,761,054,966,011,282,795,858,612,163,477,
504,135,669,454,423,926,162,001,852,933,316,737,237,875,339,450,175,085,830,
799,219,445,569,488,950,007,264,400,810,869,682,066,035,673,107,912,303,330,
886,309,230,820,798,471,229,555,507,514,310,658,713,915,145,600,496,690,115,
613,484,366,844,165,194,122,089,486,227,775,760,838,267,835,434,504,489,531,
148,783,146,909,571,722,705,040,581,015,479,506,451,090,807,297,663,015,877,
500,609,195,514,295,137,613,938,503,319,039,045,804,962,486,158,850,936,818,
594,959,565,946,993,306,070,072,803,790,731,880,889,465,215,342,625,661,990,
927,592,873,667,568,289,301,662,263,776,702,533,477,980,628,828,275,752,982,
374,024,636,958,782,502,077,738,350,322,868,060,555,076,610,831,363,740,295,
917,570,367,961,764,678,592,494,948,367,595,118,370,892,748,578,255,896,565,
528,927,239,875,438,180,677,760,998,466,657,382,076,781,933,859,232,173,718,
930,419,128,243,369,182,809,973,015,514,547,121,864,124,750,025,420,798,413,
828,816,355,030,556,756,290,941,331,672,800,290,113,482,969,667,114,308,408,
771,828,640,982,475,815,097,480,898,719,970,149,237,854,256,221,791,182,573,
840,896,112,545,147,503,856,525,908,121,865,380,114,354,292,355,534,770,645,
172,281,029,074,097,307,502,183,861,392,018,659,677,191,354,274,655,339,164,
848,531,774,139,086,564,440,912,265,849,872,509,984,894,221,496,320,909,650,
868,538,569,693,798,289,017,167,011,202,210,274,774,979,005,853,475,239,908,
073,313,280,040,040,030,377,474,699,152,648,749,029,018,827,549,530,107,144,
484,620,588,084,268,907,397,819,631,337,874,229,698,904,257,800,618,406,160,
031,152,158,461,560,135,044,764,073,599,035,638,202,515,720,764,443,616,447,
070,329,700,333,049,336,373,202,196,594,050,845,987,644,873,059,558,285,552,
168,505,383,037,232,030,695,315,448,378,141,270,769,309,410,880,340,989,202,
677,049,809,428,051,499,764,861,144,647,459,596,919,721,098,518,186,602,466,
358,364,590,552,602,373,480,367,142,040,571,508,548,139,281,793,662,020,879,
926,787,409,045,429,278,341,461,457,946,452,657,908,929,280,734,131,509,472,
828,325,830,657,034,078,396,489,213,040,007,980,967,523,529,194,745,806,079,
319,028,781,707,839,649,890,216,283,938,907,389,369,095,790,341,008,192,122,
155,588,198,511,660,033,055,430,826,261,525,619,874,755,280,126,960,994,257,
945,857,322,717,673,874,311,059,599,193,265,303,437,170,922,988,233,377,735,
315,823,956,502,457,122,685,509,103,830,648,685,794,640,714,360,924,156,298,
807,438,289,729,393,378,272,762,931,081,412,667,539,566,308,775,041,175,920,
128,093,734,127,673,833,608,719,896,033,211,744,751,283,137,103,078,549,173,
535,264,213,701,440,178,064,361,677,933,108,216,184,369,303,217,157,029,575,
092,462,131,636,037,887,750,738,460,749,669,524,075,508,561,441,982,556,489,
691,793,542,176,255,676,580,368,036,901,171,789,446,784,023,708,153,610,119,
340,207,795,874,598,866,431,587,914,140,924,917,948,524,304,378,518,180,457,
159,249,350,975,429,110,263,701,773,261,311,435,318,101,328,514,494,070,743,
879,506,642,883,976,299,282,083,823,288,506,871,648,506,521,253,462,765,383,
715,828,139,793,627,023,510,271,567,205,365,743,434,701,264,874,824,157,871,
054,141,240,956,507,594,582,580,987,739,363,229,186,277,321,153,668,019,014,
916,656,831,494,131,341,590,024,829,614,797,700,618,480,235,766,883,538,273,
658,546,132,124,044,524,583,119,804,555,005,099,071,121,735,747,321,787,328,
116,664,086,658,096,869,380,534,674,889,651,165,605,075,138,384,187,962,077,
486,920,174,506,858,659,500,692,243,223,664,280,215,677,335,866,730,904,410,
573,454,646,949,873,868,093,965,196,112,550,636,930,783,035,068,367,852,945,
820,305,338,187,825,496,921,911,048,669,197,243,024,783,926,030,258,365,102,
565,224,556,443,557,626,207,394,853,081,109,973,460,815,503,605,406,424,482,
748,082,671,012,043,647,903,061,961,128,737,773,650,113,620,085,925,572,412,
759,760,294,522,435,534,494,481,979,205,767,203,698,553,279,514,021,180,374,
447,141,593,410,739,263,111,639,777,995,038,977,395,677,018,262,615,964,299,
308,530,608,695,564,052,624,954,423,241,450,210,653,962,259,881,159,262,639,
484,977,186,893,712,847,752,204,262,506,024,298,259,970,586,876,803,502,663,
606,572,236,306,121,130,625,849,236,282,300,144,078,699,827,440,080,453,535,
875,763,997,763,602,460,889,531,087,236,888,771,823,553,966,460,755,059,852,
077,510,492,077,986,423,907,011,460,603,312,036,376,935,143,705,919,585,139,
895,145,103,379,647,472,564,423,194,782,851,401,563,383,358,517,853,349,649,
437,873,110,126,851,208,318,792,032,187,471,274,371,699,345,962,294,424,346,
085,521,137,923,894,899,992,296,943,664,028,264,254,806,938,406,609,481,763,
613,048,117,103,154,245,028,304,088,007,613,639,613,539,136,266,565,901,446,
053,537,470,554,288,623,669,847,144,560,174,276,521,971,950,371,512,558,199,
594,358,569,122,890,484,246,703,691,049,983,641,487,450,247,497,261,515,163,
841,992,056,158,006,837,938,904,770,295,523,921,956,920,213,603,594,495,699,
889,534,437,943,909,679,858,977,708,387,568,863,385,687,296,540,625,819,707,
328,749,695,703,630,165,731,718,206,009,378,742,171,348,725,422,559,226,617,
273,490,271,657,380,026,249,524,358,033,117,776,741,008,960,415,313,813,863,
491,916,073,689,772,420,550,790,461,635,424,823,471,170,387,525,903,212,809,
342,527,693,145,578,387,394,028,936,950,936,232,767,932,963,912,971,729,791,
855,692,908,929,498,056,447,838,324,832,991,400,477,091,681,631,611,362,914,
402,980,403,616,761,102,835,636,214,005,739,737,778,495,230,338,443,461,017,
252,095,713,960,529,293,279,727,758,247,342,072,498,503,295,133,293,515,634,
934,848,009,288,587,085,747,170,367,964,031,544,968,006,486,046,885,732,934,
318,020,048,408,305,321,235,464,885,565,564,196,520,456,846,987,268,789,335,
553,329,775,820,963,367,550,560,291,800,442,875,458,547,354,812,205,371,811,
710,153,602,070,401,953,402,770,923,022,769,536,675,980,865,838,911,184,154,
912,268,806,146,898,991,666,179,198,591,899,943,571,381,708,736,995,924,392,
699,171,340,915,663,324,360,217,248,878,218,477,738,620,637,563,575,700,508,
678,768,566,634,648,782,952,123,207,610,280,973,652,471,761,898,024,810,649,
002,978,252,494,080,880,771,070,937,798,094,959,821,489,129,873,670,889,038,
042,780,660,428,695,496,851,298,180,070,384,815,181,119,338,521,472,674,654,
600,647,243,242,457,186,670,667,178,472,640,066,822,320,709,477,462,906,878,
004,789,772,078,938,851,799,381,805,867,499,545,286,541,821,916,891,574,160,
480,596,782,125,103,440,897,818,528,603,173,042,416,174,278,530,524,273,233,
333,013,933,091,957,693,099,343,348,984,058,020,877,286,766,417,344,400,555,
205,880,842,426,575,715,571,253,525,462,915,315,165,219,492,806,664,138,435,
954,264,018,253,646,358,827,904,215,172,517,671,241,517,816,501,625,803,996,
374,314,976,632,082,470,695,647,517,474,832,424,344,546,304,038,731,846,185,
160,198,710,472,805,323,940,428,671,780,234,240,132,656,366,854,190,707,189,
908,708,134,519,574,079,926,757,980,843,583,528,624,612,742,725,142,797,805,
645,964,049,072,464,239,188,453,050,792,841,421,712,088,291,135,917,301,857,
105,334,008,742,200,325,365,569,710,806,370,610,560,743,711,728,465,594,816,
843,139,429,898,049,362,247,417,983,323,187,922,359,848,588,281,481,875,491,
109,399,218,773,878,827,557,383,085,731,014,789,003,606,407,259,487,741,999,
268,758,613,996,280,758,048,726,761,906,223,932,762,939,040,584,455,069,193,
211,684,855,931,530,517,182,940,586,653,156,787,250,393,459,073,108,662,429,
922,788,381,713,765,598,280,302,057,315,666,068,266,883,804,065,013,777,985,
524,392,776,618,174,766,953,419,436,235,379,096,607,964,948,242,801,391,415,
987,913,195,355,475,822,448,897,928,339,057,494,028,407,912,645,417,672,589,
939,638,990,735,855,901,293,413,495,013,133,063,548,673,883,942,965,042,637,
897,050,522,126,795,273,704,550,991,244,674,407,319,141,842,631,478,711,700,
152,627,139,640,427,783,135,593,118,449,243,925,976,972,143,408,229,629,251,
592,165,449,357,747,995,787,882,824,249,467,541,305,175,462,651,404,176,082,
223,922,214,218,368,880,460,860,523,867,967,042,584,566,192,875,960,162,771,
608,151,190,069,930,233,225,161,748,584,322,912,978,200,553,378,356,587,388,
405,411,852,674,545,802,416,974,550,479,689,970,579,217,785,493,134,011,921,
752,854,339,055,699,103,356,725,113,496,149,021,207,083,335,581,882,224,007,
456,888,586,931,550,570,784,503,608,968,846,520,743,337,918,156,837,662,758,
446,024,828,088,462,391,427,462,379,979,385,614,309,040,126,991,745,124,324,
456,900,965,928,920,784,349,432,192,205,504,356,831,151,060,533,544,553,735,
958,164,644,030,480,638,548,169,448,525,857,849,263,094,935,400,635,114,594,
130,865,874,622,948,156,615,065,446,263,436,626,060,245,506,613,349,960,780,
946,164,005,559,618,176,964,023,140,611,035,968,130,006,829,877,885,971,182,
143,911,825,880,353,600,744,649,702,657,375,216,218,920,613,872,471,457,913,
890,735,985,164,840,853,676,033,419,007,121,454,872,346,313,292,027,413,693,
663,967,766,297,931,198,947,174,892,664,375,415,144,736,760,993,428,694,572,
414,288,009,892,506,085,628,079,252,237,887,984,300,376,240,845,438,812,354,
994,920,351,132,243,766,050,238,848,941,646,732,696,579,163,337,255,225,429,
999,475,794,232,232,504,937,557,564,413,829,156,143,292,689,107,999,357,139,
515,608,165,632,042,604,783,415,068,083,343,730,200,033,834,488,157,370,597,
300,716,028,354,086,088,068,932,096,078,067,430,724,890,571,974,024,666,899,
947,449,077,711,028,447,290,677,827,520,696,329,982,451,241,650,264,185,213,
652,975,527,288,819,484,937,180,087,542,802,175,359,103,732,316,489,143,058,
799,404,556,431,242,276,759,894,509,054,543,339,645,528,755,815,003,362,516,
801,448,055,752,128,322,516,406,826,993,422,520,690,015,666,416,739,691,798,
218,167,870,833,797,401,219,972,441,616,465,238,597,085,907,172,243,425,830,
262,198,193,889,855,068,948,716,401,958,983,113,065,784,086,947,940,599,998,
499,229,757,592,926,312,222,146,656,299,216,449,686,872,011,157,441,682,656,
423,032,757,030,674,591,440,138,862,186,182,843,176,296,359,243,500,920,977,
620,120,848,155,021,534,313,765,281,367,222,511,574,712,246,983,567,936,737,
755,432,920,802,110,045,465,188,209,249,491,175,145,405,395,662,403,796,542,
696,598,292,370,480,696,396,715,413,641,408,103,733,517,225,197,796,003,009,
643,591,968,909,603,606,760,550,322,591,168,186,285,975,137,212,336,451,554,
896,037,099,058,299,474,060,179,946,370,873,717,288,091,792,493,407,777,703,
931,136,143,160,664,545,235,826,551,010,590,813,293,085,031,805,690,053,022,
694,493,309,693,605,162,956,171,372,362,157,373,675,704,213,511,135,813,905,
718,418,687,538,938,752,482,789,469,417,361,787,587,917,113,404,078,385,158,
711,353,162,152,741,030,593,233,074,298,935,770,920,164,797,170,486,479,414,
612,364,613,451,186,354,339,018,632,862,198,175,174,088,233,140,019,090,218,
760,429,404,709,518,130,584,054,576,658,271,947,037,332,308,836,538,226,643,
046,982,472,513,161,076,959,902,849,066,113,764,505,193,451,582,556,759,338,
501,016,970,967,129,684,343,612,426,548,220,788,442,308,528,324,734,683,477,
309,709,110,160,310,688,615,637,786,441,988,036,583,208,513,503,203,455,158,
409,415,712,617,854,429,180,990,634,198,280,685,774,256,728,774,326,169,400,
346,287,510,934,819,320,976,315,966,043,474,260,715,527,304,330,674,852,031,
800,498,495,709,661,575,317,604,511,545,578,662,737,467,374,564,315,216,243,
387,538,274,589,253,254,312,350,200,739,942,251,774,643,621,502,121,025,879,
146,920,983,409,383,002,745,162,470,817,375,285,519,359,967,398,078,648,810,
327,049,221,295,172,489,116,563,038,431,372,810,816,951,882,824,889,011,976,
932,099,386,412,582,234,275,414,009,855,673,577,485,627,927,213,741,078,043,
191,985,847,724,868,907,077,984,346,521,947,960,193,541,655,580,200,906,747,
278,685,085,478,606,140,157,129,892,610,616,114,756,799,295,344,690,850,655,
218,219,917,722,763,142,200,191,949,858,490,772,907,985,099,595,509,366,021,
123,308,756,582,156,953,179,030,649,619,218,732,610,509,632,603,263,528,976,
372,832,851,967,499,682,844,830,951,638,135,125,051,495,780,129,676,128,870,
898,998,680,953,039,726,322,922,143,234,912,810,396,539,491,291,145,738,537,
435,017,489,725,646,575,061,061,109,155,382,143,857,937,418,336,776,391,237,
299,226,087,500,023,230,800,613,596,709,690,120,440,473,898,210,134,353,888,
330,725,168,485,177,814,864,563,276,941,372,574,086,548,627,620,465,492,290,
117,612,980,048,424,273,915,140,731,496,458,406,591,181,260,894,625,729,903,
924,852,073,503,715,745,498,388,944,556,951,159,526,607,042,743,495,604,045,
409,998,327,066,535,164,273,293,902,167,579,789,702,655,037,923,417,470,636,
267,501,293,921,928,332,803,391,479,761,015,419,572,062,916,467,680,083,909,
324,038,063,686,271,619,839,822,874,437,029,927,022,583,136,480,661,726,710,
288,707,896,797,204,771,703,316,346,690,207,265,711,933,529,879,603,757,776,
752,410,890,197,245,377,973,942,076,673,992,371,234,455,721,289,231,701,444,
677,000,390,580,804,753,707,881,470,509,761,234,366,810,817,642,126,240,376,
502,929,090,195,651,548,115,987,127,495,576,541,504,999,884,397,761,958,446,
228,194,625,619,033,436,171,139,404,747,989,512,165,279,712,805,087,811,597,
924,941,704,163,994,392,741,382,072,255,342,881,113,204,746,993,674,601,649,
712,470,203,204,121,788,813,514,892,525,609,727,253,551,073,699,862,289,915,
926,368,070,667,039,507,209,779,161,522,348,009,315,212,798,265,017,258,777,
436,490,327,484,363,747,079,818,812,848,597,430,468,126,362,789,231,259,218,
595,251,475,690,688,196,286,466,297,552,538,414,114,398,340,886,680,818,391,
098,502,667,982,047,573,305,909,664,989,126,113,521,439,527,352,104,651,331,
215,082,233,886,116,766,893,914,861,139,592,976,731,207,553,936,683,381,689,
730,181,678,283,155,165,614,159,557,283,198,065,140,179,677,505,298,019,060,
996,907,280,634,776,291,908,522,173,926,268,933,960,089,781,717,493,803,312,
905,516,401,445,911,813,144,869,138,824,652,308,917,692,511,517,847,993,240,
227,504,057,544,702,535,842,871,942,113,706,390,686,085,561,661,264,703,065,
270,847,927,256,500,599,035,083,405,870,201,598,356,391,763,621,646,294,038,
154,070,103,294,644,479,436,319,441,423,391,704,484,210,044,343,207,103,320,
025,040,118,262,474,531,938,656,047,064,591,612,458,981,815,361,261,561,888,
992,773,121,920,437,149,283,940,160,573,482,650,541,663,403,698,040,249,065,
202,722,067,999,032,232,550,331,613,053,368,394,261,345,615,594,883,565,173,
010,298,866,180,281,258,430,751,654,758,807,285,888,799,925,856,223,178,185,
788,741,257,167,142,206,498,470,728,072,863,516,731,442,987,553,553,329,463,
452,274,001,017,188,501,320,599,179,005,074,371,592,895,173,060,230,729,851,
752,981,540,559,361,103,794,438,686,925,520,859,241,186,854,365,136,199,269,
210,160,915,532,405,032,261,075,168,510,230,745,634,843,849,169,739,457,041,
884,970,911,724,737,786,343,313,120,097,276,017,432,571,266,656,027,336,204,
388,559,585,205,095,250,349,002,666,894,865,735,049,815,991,227,673,429,886,
969,168,330,250,461,831,398,075,033,915,209,100,575,456,371,926,196,384,389,
066,862,687,735,928,871,833,401,447,610,175,252,726,564,254,138,232,065,315,
235,412,925,788,982,086,661,068,295,716,823,730,991,987,736,050,918,698,229,
484,642,104,014,058,929,224,070,423,882,278,716,665,661,224,603,947,614,120,
540,370,807,488,917,586,597,432,330,070,492,580,115,107,015,094,944,333,466,
445,879,570,801,986,713,988,664,783,673,197,171,386,821,045,632,694,093,827,
382,717,589,324,943,802,644,893,172,147,874,535,606,023,430,503,434,811,734,
753,947,876,176,275,149,318,446,348,193,781,948,952,605,481,459,696,397,961,
899,651,407,401,627,487,220,970,217,786,892,504,671,667,496,769,463,365,394,
986,896,847,814,139,800,825,306,398,364,996,799,600,668,669,101,038,182,519,
062,497,792,758,141,189,555,056,967,948,184,884,181,960,517,463,109,392,474,
847,529,775,251,623,328,158,262,999,125,470,189,077,120,892,065,174,992,017,
954,192,799,959,955,394,250,140,221,205,935,557,355,196,444,510,067,596,865,
851,195,266,351,599,936,547,140,985,376,092,328,079,614,931,501,403,014,171,
070,567,492,727,367,349,179,254,174,635,246,320,218,986,190,199,053,070,849,
735,474,869,878,235,281,508,002,031,010,668,096,180,954,358,950,679,595,396,
746,492,528,591,787,069,035,032,353,830,287,701,892,786,913,380,983,160,339,
020,799,052,027,987,490,422,117,669,386,641,226,651,913,083,765,427,524,424,
957,397,512,026,577,473,161,549,509,176,881,579,131,274,972,185,632,550,138,
785,834,818,777,809,196,813,710,093,104,938,759,513,419,204,297,937,259,766,
001,031,064,293,014,948,547,098,829,158,756,433,176,963,446,639,283,443,365,
562,971,565,056,362,484,038,061,907,102,950,641,964,354,677,461,910,834,087,
011,351,636,164,626,805,938,574,030,885,992,825,373,651,835,219,715,717,519,
117,939,116,890,185,384,717,712,017,520,042,923,142,538,269,366,353,249,058,
822,033,886,183,495,204,473,909,467,205,272,410,110,991,184,550,313,446,692,
711,630,359,463,552,367,104,183,364,293,231,580,773,564,790,692,389,058,999,
686,622,380,102,872,238,107,339,709,065,622,956,648,368,216,494,512,910,726,
736,448,294,706,731,733,380,801,131,897,987,327,659,379,032,550,234,340,553,
666,829,142,455,415,164,249,670,634,055,511,317,905,957,794,085,054,969,819,
285,070,678,526,547,636,016,705,497,203,757,058,909,493,837,782,480,372,080,
436,067,735,724,140,510,403,559,490,317,482,779,401,343,656,248,475,849,809,
052,456,453,681,555,730,449,880,785,007,999,752,633,739,778,510,799,709,119,
734,850,797,181,095,731,133,174,532,964,898,456,754,549,891,524,993,377,587,
265,812,905,862,537,056,376,460,490,647,674,666,349,786,081,932,887,743,998,
469,394,608,223,150,457,045,335,775,751,140,075,862,697,602,884,471,507,317,
123,911,996,873,786,472,135,735,327,461,894,586,290,777,866,202,926,324,203,
434,411,799,732,215,696,700,470,663,549,538,283,090,289,821,410,303,067,588,
530,127,832,079,409,415,799,203,575,265,081,830,046,469,128,158,334,120,881,
849,045,546,155,837,592,975,691,939,568,050,233,458,637,212,443,630,402,801,
413,242,304,589,272,858,898,628,469,781,741,998,934,755,222,970,596,830,530,
893,817,841,432,119,772,769,216,406,542,020,722,749,673,735,622,855,334,528,
739,583,971,904,565,709,249,512,777,655,136,522,858,538,288,024,186,218,894,
806,568,345,679,380,457,748,535,573,205,467,779,038,872,106,523,594,847,007,
233,431,484,124,320,793,357,485,414,928,032,890,416,257,915,423,105,312,373,
744,553,329,002,019,688,073,680,741,787,856,388,283,187,383,434,237,193,672,
418,127,925,759,545,264,235,930,665,506,644,742,616,953,220,504,202,560,729,
030,376,067,877,565,756,027,991,945,087,739,753,493,979,457,895,578,977,722,
549,633,823,016,626,448,811,794,594,931,901,799,542,268,597,139,245,697,798,
817,450,047,771,677,708,291,968,268,865,397,056,447,487,963,790,303,363,948,
747,537,839,365,346,762,862,703,411,841,510,684,307,110,119,760,442,020,767,
962,848,035,397,449,440,555,573,243,445,328,975,046,495,796,513,144,343,597,
942,400,789,635,160,354,644,808,830,101,736,361,691,254,895,199,023,543,979,
321,011,540,311,143,842,574,247,601,878,686,426,078,754,322,175,343,996,455,
350,893,637,592,945,430,164,171,544,173,939,281,925,363,588,465,138,834,531,
123,173,941,986,879,103,568,912,330,419,672,498,725,598,828,422,030,044,623,
462,303,774,801,879,310,738,047,050,680,562,295,703,656,970,289,229,264,385,
659,041,665,122,756,673,921,758,475,542,691,527,106,630,535,442,573,608,828,
574,136,975,170,785,443,467,708,066,593,595,696,579,735,288,065,973,571,799,
100,975,592,581,121,416,204,335,232,257,849,466,789,425,505,461,398,717,269,
098,669,510,757,647,029,274,266,520,164,007,848,759,432,722,764,820,530,224,
149,412,726,992,442,990,516,799,467,049,609,194,914,986,435,121,716,579,200,
774,479,579,749,031,705,132,260,511,754,250,917,095,759,733,090,867,505,621,
133,080,580,113,648,499,326,698,439,131,479,192,192,872,048,924,211,174,557,
816,967,549,978,306,363,609,664,478,398,962,244,782,344,402,818,762,469,426,
198,529,358,697,962,064,001,355,634,680,413,018,088,766,338,919,254,582,938,
932,492,739,342,802,293,767,922,524,191,907,142,489,685,583,260,278,513,297,
515,398,009,649,290,882,161,093,392,337,657,241,225,447,055,475,936,432,768,
259,196,498,507,435,073,669,394,309,663,353,611,656,065,556,734,745,129,367,
768,213,836,339,050,570,663,454,397,067,548,973,819,749,792,251,051,907,621,
789,877,550,978,870,822,862,116,212,129,140,497,250,152,528,700,902,248,201,
457,369,249,275,834,793,532,816,236,147,369,097,259,905,592,319,885,275,619,
503,317,247,693,242,141,865,179,632,441,093,356,536,965,788,263,241,999,830,
892,182,070,125,308,051,697,898,586,212,289,951,833,655,815,272,047,531,744,
328,570,987,663,990,315,473,119,220,537,831,457,515,165,556,043,140,133,411,
310,077,523,968,023,862,457,378,251,665,565,092,893,386,480,906,617,108,970,
725,631,440,585,058,122,816,633,696,473,564,314,433,958,305,157,831,453,753,
039,902,800,962,094,404,620,430,164,981,922,357,925,378,979,451,243,499,656,
296,558,060,531,756,172,434,923,751,338,665,588,310,019,261,532,319,887,451,
779,094,449,479,135,619,616,562,338,375,102,309,114,159,545,378,186,810,586,
541,637,021,558,626,838,582,924,444,714,471,151,236,702,888,221,221,672,665,
849,830,985,031,273,531,419,392,343,309,986,359,771,281,685,519,888,081,328,
338,104,772,584,676,011,721,882,939,569,662,739,842,437,324,375,351,558,628,
234,179,452,109,374,117,727,844,394,765,336,659,296,157,396,368,806,285,812,
853,906,485,155,070,820,566,874,690,290,838,334,405,711,346,218,026,800,100,
305,708,823,860,986,985,305,598,589,403,201,375,032,608,741,628,573,697,555,
981,759,249,112,398,516,186,104,756,470,176,203,875,318,230,200,974,840,932,
591,282,133,774,514,612,978,953,155,161,435,568,656,224,020,946,208,309,210,
356,796,936,610,773,503,410,271,528,337,927,553,163,233,800,304,964,259,552,
952,859,669,472,376,714,985,218,896,841,177,466,883,438,301,234,171,825,860,
871,794,573,361,701,497,872,241,622,527,367,168,297,109,367,088,524,471,395,
412,356,677,592,211,158,873,624,933,930,889,401,797,094,166,662,197,692,565,
515,370,675,059,408,922,640,702,004,394,651,713,105,434,161,411,176,259,013,
974,120,289,000,823,792,531,173,126,586,294,650,461,797,739,225,585,329,635,
364,464,875,036,067,585,357,653,238,434,449,644,043,776,322,278,641,832,046,
073,383,698,493,059,184,791,283,772,626,476,864,309,500,790,389,903,926,411,
499,392,096,389,246,624,257,593,700,046,297,249,133,030,391,650,002,512,315,
907,135,848,862,875,755,040,303,350,008,167,412,499,977,641,259,822,609,245,
352,577,641,334,475,757,921,420,096,924,666,529,664,541,668,213,835,060,560,
419,304,172,163,288,293,158,620,053,334,444,593,005,057,840,057,483,268,678,
077,741,272,539,861,949,389,552,129,244,933,742,096,560,372,840,657,375,092,
022,280,471,808,274,878,829,545,779,909,436,773,335,944,090,264,440,584,220,
341,009,564,034,202,160,022,302,104,856,226,492,214,192,349,369,475,987,136,
153,176,819,377,637,400,514,713,752,106,869,831,910,547,458,102,964,665,383,
700,015,486,986,503,941,953,841,819,714,315,854,298,426,333,492,482,458,991,
226,659,015,679,647,183,366,979,992,722,071,453,242,685,543,797,983,159,498,
560,407,629,972,903,817,619,852,706,681,863,646,464,267,381,789,399,577,386,
884,737,535,070,105,428,376,888,238,306,565,166,315,412,484,652,050,394,343,
709,645,769,842,262,858,448,553,503,994,028,353,470,037,724,532,811,528,446,
654,687,696,551,390,274,569,744,112,350,796,189,723,741,567,630,249,388,059,
286,573,353,217,864,021,242,576,652,760,159,782,777,235,771,652,893,322,417,
403,921,872,260,283,278,735,749,019,605,311,751,366,663,466,174,052,507,085,
281,078,239,671,112,574,923,248,917,060,168,839,222,356,097,880,176,838,836,
192,309,032,105,231,415,386,987,193,654,683,218,601,562,907,649,469,662,617,
830,257,787,862,752,294,597,296,938,196,411,339,116,300,876,423,489,790,551,
973,682,140,775,639,120,635,951,417,885,417,816,777,985,794,756,476,035,610,
713,016,207,193,598,127,536,794,927,327,014,652,874,695,173,443,036,719,104,
975,618,033,305,899,266,469,410,323,227,531,281,984,322,628,537,108,594,028,
590,376,346,581,328,427,518,686,129,897,233,121,914,711,057,541,848,760,443,
816,338,409,262,173,313,547,608,239,121,891,058,917,554,521,399,660,432,688,
908,271,150,970,604,258,642,397,511,314,622,696,074,637,285,526,842,601,035,
799,744,242,875,086,740,865,357,773,932,545,735,916,029,731,821,705,740,648,
708,685,332,275,719,410,537,507,910,369,522,931,829,796,526,745,763,806,284,
917,368,144,890,137,794,625,479,223,627,333,904,206,027,558,116,896,967,545,
092,201,659,581,423,388,000,466,483,395,597,699,382,441,083,600,748,364,301,
299,092,161,104,141,882,086,783,704,077,744,762,675,736,777,872,201,710,051,
352,893,949,438,900,870,522,292,467,081,943,906,392,149,688,254,013,487,218,
833,035,015,209,359,645,637,897,365,519,091,036,058,438,139,469,097,916,540,
164,938,059,431,507,600,230,096,865,277,417,071,808,423,944,289,296,712,106,
812,427,305,225,685,907,662,061,674,506,134,336,967,264,258,826,045,197,365,
223,562,612,772,719,733,393,727,207,554,999,307,629,537,676,755,491,941,885,
008,786,894,636,880,402,003,387,352,551,982,242,160,057,438,732,764,251,492,
991,810,387,437,555,334,395,263,148,834,847,751,665,307,533,965,469,785,056,
784,350,811,794,798,724,418,090,310,276,886,675,641,540,245,203,056,260,774,
167,515,762,809,206,349,804,201,275,577,334,479,565,374,829,177,960,944,755,
366,862,198,422,110,788,320,383,380,454,893,770,124,237,053,539,380,890,369,
723,452,820,410,184,585,486,971,494,382,862,531,833,815,888,800,173,890,931,
740,390,321,394,166,112,767,752,197,534,636,257,857,176,766,686,907,576,070,
984,012,919,080,634,717,266,430,617,963,326,474,311,794,796,040,591,252,187,
718,155,415,980,033,278,483,446,648,723,666,987,631,456,271,383,774,436,884,
476,598,476,798,214,994,408,871,326,071,617,350,190,550,571,055,104,535,664,
584,467,976,521,630,481,770,935,536,707,299,288,468,716,211,131,077,617,848,
294,372,310,551,153,792,498,762,155,987,788,432,190,587,981,667,573,894,213,
214,328,852,462,524,198,259,911,903,835,855,667,288,715,574,252,478,126,187,
896,155,871,314,635,089,569,190,658,776,325,277,667,373,188,418,493,905,866,
249,646,831,567,905,383,637,420,547,194,802,363,750,695,959,706,446,105,197,
930,787,669,557,985,367,663,265,415,504,504,930,551,158,065,653,885,894,909,
910,605,561,437,634,760,403,403,604,780,151,757,286,368,185,507,432,350,402,
166,606,745,389,558,198,183,911,237,504,013,451,274,623,316,680,983,907,155,
246,658,651,521,669,394,996,076,702,713,200,334,109,584,741,279,655,838,734,
225,100,972,228,571,929,333,966,045,393,774,065,863,142,846,017,960,282,196,
755,072,857,375,915,026,188,945,784,743,281,820,625,627,443,572,008,690,736,
326,063,054,834,672,667,670,713,835,267,525,177,880,076,548,145,105,138,113,
165,090,653,892,575,269,046,581,345,595,918,314,888,890,764,590,969,046,574,
265,561,196,566,498,945,750,710,030,497,800,346,254,588,840,217,432,256,581,
864,649,701,684,780,466,000,895,262,530,577,052,237,244,268,641,091,130,865,
673,959,290,264,953,603,712,598,998,440,001,595,769,667,385,053,334,532,721,
993,377,812,557,976,982,467,436,810,908,024,149,397,315,824,278,976,073,036,
719,403,773,315,944,310,935,024,427,262,828,847,661,445,287,354,539,356,785,
557,739,552,427,954,005,837,978,109,903,153,769,337,798,353,631,450,650,736,
717,127,290,604,677,217,515,879,608,459,288,193,518,190,126,150,901,800,683,
294,512,644,893,799,297,875,982,354,168,120,572,070,999,174,906,843,177,811,
855,660,549,770,201,603,010,115,334,282,919,173,378,413,387,176,309,757,387,
641,752,122,389,091,602,180,622,510,562,484,591,430,492,545,793,395,455,423,
884,242,621,917,840,305,370,643,499,360,021,335,588,847,759,561,981,000,594,
494,265,902,548,365,211,368,597,359,420,489,459,601,255,467,373,729,950,897,
066,824,416,025,917,951,409,299,503,476,401,935,620,786,126,316,268,244,006,
331,860,747,090,492,906,002,562,595,315,752,527,357,750,960,925,009,821,253,
994,462,405,607,800,632,121,603,493,838,962,427,407,352,170,372,997,640,756,
138,048,916,719,256,845,287,062,710,225,834,591,857,115,597,502,711,981,900,
604,576,962,512,997,460,621,227,758,519,007,880,780,839,919,004,171,183,852,
341,581,904,823,220,266,106,744,806,865,222,627,743,194,171,739,595,230,202,
806,190,814,164,008,264,768,902,357,098,252,574,720,429,015,946,704,620,986,
030,191,080,491,468,864,356,169,850,381,414,055,870,636,593,269,789,973,754,
219,628,058,665,881,978,182,962,007,893,914,228,693,337,093,501,892,380,044,
940,263,701,165,412,545,677,790,272,808,043,277,436,703,765,654,845,450,705,
273,134,094,016,526,519,100,967,444,749,792,469,760,204,279,708,451,735,231,
201,880,340,395,869,823,455,387,115,711,461,526,336,957,319,130,018,604,612,
207,248,338,867,604,409,920,408,067,825,968,495,031,646,279,005,840,245,464,
853,977,445,241,467,658,745,883,132,991,408,367,415,619,710,767,106,898,328,
397,217,747,372,171,779,196,184,424,063,199,121,773,803,955,741,077,450,130,
941,949,057,341,579,218,185,009,174,636,082,735,427,323,417,812,457,546,280,
472,269,906,203,207,189,457,049,598,411,666,292,850,260,796,377,381,863,464,
873,831,438,015,919,676,688,670,789,158,179,500,717,898,298,512,988,859,493,
414,973,216,548,460,029,845,247,053,782,981,208,720,882,358,304,212,987,531,
435,372,215,088,334,783,958,079,602,340,429,316,530,753,100,996,052,564,379,
750,742,481,076,785,363,160,571,646,381,266,692,907,613,669,396,982,598,927,
331,251,205,199,282,821,747,586,485,810,025,969,327,915,928,416,395,209,432,
677,739,847,065,341,931,877,233,143,327,538,181,831,946,927,363,762,057,700,
279,916,740,877,234,391,001,964,091,405,184,978,708,960,872,748,577,453,285,
275,829,857,466,373,417,593,156,113,873,326,262,705,325,700,689,674,627,282,
405,327,925,039,819,622,052,815,041,058,580,237,517,673,946,603,285,439,626,
178,031,701,536,765,516,403,098,773,073,093,170,229,079,915,050,711,548,262,
802,889,086,875,479,094,744,912,154,742,023,462,919,690,566,703,884,329,904,
370,422,110,620,589,529,774,383,647,207,614,978,607,013,417,681,384,424,761,
354,510,494,316,874,486,981,438,644,134,992,102,918,399,878,609,987,703,142,
147,923,900,487,359,496,333,843,987,526,549,103,358,492,645,882,530,994,914,
872,962,849,655,318,807,163,351,374,649,636,689,001,290,817,552,726,986,380,
874,630,166,750,940,745,650,414,660,482,551,852,906,757,523,871,712,464,939,
303,175,290,312,331,843,755,605,528,089,886,639,266,775,985,633,366,068,559,
275,628,228,044,114,473,238,947,156,197,766,192,230,137,676,386,055,003,566,
698,314,454,926,432,305,258,680,782,260,309,285,879,578,698,789,273,538,896,
283,241,690,463,540,559,180,015,070,950,323,981,897,815,227,762,650,738,373,
990,307,344,651,581,433,723,680,566,225,253,838,526,976,721,675,423,023,898,
357,712,613,700,829,363,168,925,143,476,996,942,317,245,511,411,594,946,558,
732,273,335,873,609,358,199,977,423,289,154,781,826,004,379,539,939,117,137,
090,001,502,028,920,527,341,411,329,123,627,915,217,408,130,769,028,373,832,
402,749,322,677,660,195,165,431,107,398,532,364,995,451,969,313,000,694,574,
075,284,238,331,280,469,381,610,002,794,097,469,415,201,018,295,037,701,165,
464,390,928,962,863,995,622,692,743,137,715,334,557,539,482,619,352,054,129,
847,528,346,605,442,307,180,315,672,591,343,345,785,134,220,665,474,537,727,
614,418,125,063,606,954,913,280,692,599,981,793,562,404,667,060,188,466,131,
668,161,455,224,916,415,211,208,176,714,401,089,230,678,688,687,745,019,605,
947,866,452,490,859,765,881,156,168,624,353,619,647,948,212,030,876,027,187,
939,064,399,573,638,809,836,385,247,302,796,460,719,290,899,424,206,228,867,
374,171,707,536,992,403,565,463,024,412,747,494,730,883,070,520,969,798,328,
337,524,040,347,512,885,524,958,432,182,058,055,095,456,903,396,266,783,864,
436,668,055,578,397,151,261,637,769,939,244,752,260,976,550,217,698,074,151,
222,124,407,984,956,799,873,972,269,824,427,804,801,746,226,044,894,805,716,
938,163,481,603,689,916,630,726,140,157,559,937,373,951,639,487,726,362,685,
676,607,640,124,140,522,475,510,381,287,636,723,643,929,545,657,706,729,230,
873,268,288,806,671,593,463,983,767,229,605,706,960,184,399,222,067,239,227,
986,327,195,001,210,408,416,059,248,549,335,509,103,308,172,692,443,314,577,
514,140,432,984,891,366,435,235,968,144,472,330,099,648,389,528,181,114,385,
611,247,160,570,175,056,032,681,525,733,385,915,605,945,287,633,392,956,722,
526,899,085,834,803,133,323,453,831,190,025,772,192,161,899,862,995,958,161,
548,397,237,895,464,516,734,933,446,923,496,061,845,456,999,765,156,087,311,
214,200,164,322,420,202,491,873,865,404,869,353,169,224,101,066,707,901,836,
326,570,531,951,189,986,760,751,814,276,522,262,115,054,429,106,158,851,222,
697,134,017,075,703,091,115,924,594,517,135,292,724,478,692,989,471,787,490,
391,615,751,379,321,980,104,747,669,448,740,570,123,678,897,162,243,027,861,
692,043,878,623,608,120,379,512,840,728,322,125,131,060,333,076,332,071,690,
828,031,426,727,936,122,935,151,368,355,137,021,874,736,949,973,070,477,149,
844,621,994,808,258,747,743,843,976,783,822,412,116,619,461,066,536,954,843,
041,734,499,722,418,557,345,177,130,709,430,127,783,908,450,100,534,312,080,
641,688,818,288,520,514,552,065,150,958,622,479,407,147,205,851,418,493,454,
415,132,296,128,949,866,975,110,799,221,119,392,104,338,894,318,302,594,879,
976,740,369,126,335,898,243,921,108,913,906,200,274,714,275,360,057,310,163,
183,273,081,576,463,122,049,066,700,988,356,242,581,314,698,475,441,720,649,
978,714,222,669,642,198,311,293,188,377,189,476,322,471,211,513,606,664,027,
161,534,398,368,860,718,361,836,588,494,055,633,403,432,356,495,561,389,333,
700,516,508,627,015,441,944,482,649,161,522,928,408,830,005,345,430,560,929,
739,286,915,124,725,097,711,801,411,212,379,945,825,848,016,728,303,034,639,
539,992,984,601,742,569,657,255,675,537,325,784,910,271,866,155,949,908,131,
126,430,939,181,099,515,703,400,355,788,978,378,597,061,939,057,647,750,439,
023,417,260,266,737,069,062,433,361,579,479,462,207,789,390,108,646,996,423,
424,767,276,914,001,248,858,087,337,997,149,370,156,697,314,885,505,971,310,
647,987,310,017,159,830,387,991,197,784,274,202,957,415,201,739,278,532,913,
301,868,874,024,490,650,770,801,230,985,084,894,720,110,908,591,076,622,505,
902,262,933,727,249,199,537,413,935,987,528,385,164,097,930,146,963,148,329,
779,147,599,293,119,523,371,208,750,804,294,708,951,742,521,701,556,775,556,
952,335,801,632,394,362,037,049,019,369,885,117,638,755,963,198,377,978,676,
074,552,017,782,012,004,478,509,490,738,144,561,173,138,832,355,598,831,743,
042,204,763,021,225,262,476,290,110,500,380,159,851,975,127,777,312,289,507,
423,989,467,932,346,833,376,167,099,558,326,958,394,712,303,498,607,200,911,
537,609,506,888,648,229,474,762,857,751,799,493,627,698,360,010,745,435,349,
532,953,437,504,940,096,142,500,619,003,591,550,851,221,575,231,108,352,141,
186,838,919,800,306,462,960,646,781,009,399,723,520,872,191,817,691,073,059,
541,989,476,314,406,462,154,246,419,978,626,199,866,660,713,916,884,287,388,
204,072,114,371,668,153,380,545,293,987,143,979,379,108,333,961,493,818,742,
186,295,526,186,796,141,474,361,098,348,934,700,058,106,786,262,813,372,150,
745,481,106,143,311,081,776,955,582,148,630,410,395,183,719,137,916,105,308,
259,207,342,197,936,140,703,558,158,348,114,207,374,202,010,867,291,311,709,
032,093,951,697,228,527,753,624,026,325,882,892,105,371,082,479,563,729,657,
224,725,620,529,511,745,307,295,341,887,700,938,568,679,228,479,345,052,873,
439,053,304,587,278,162,528,063,243,865,619,533,093,458,895,183,921,184,575,
460,649,631,354,289,613,518,338,356,180,506,745,198,309,692,568,624,007,374,
064,824,134,223,731,517,292,708,988,552,240,220,464,796,896,577,846,119,313,
967,176,453,549,568,515,308,029,116,726,969,595,363,113,234,719,833,759,402,
480,242,808,620,313,935,265,691,584,150,072,058,533,800,596,565,239,973,325,
201,672,575,410,786,475,473,391,168,961,323,008,821,213,029,908,780,064,997,
545,091,405,750,270,942,412,523,462,290,747,817,224,854,777,699,596,544,257,
624,627,910,077,197,644,326,435,067,395,378,705,639,995,143,326,254,536,601,
238,099,670,792,920,046,545,832,875,374,459,935,822,262,903,763,589,409,744,
346,249,333,496,628,920,486,365,406,290,598,689,392,105,714,266,242,890,042,
416,333,485,775,742,209,879,820,228,219,842,216,790,677,193,683,083,507,732,
930,520,339,555,764,009,861,327,534,420,375,511,412,929,735,134,065,980,993,
620,966,517,048,255,298,937,103,982,582,680,794,889,688,475,116,693,060,458,
702,207,791,199,984,589,773,132,346,540,688,037,534,967,121,520,809,791,629,
698,139,097,416,934,049,502,977,285,844,786,178,637,942,405,647,064,583,856,
874,079,995,659,597,728,139,671,144,317,335,955,828,261,495,954,050,494,970,
284,968,666,152,196,382,275,993,627,700,148,761,223,788,761,242,407,250,066,
366,642,782,559,430,801,059,744,056,767,503,553,056,172,598,971,387,465,516,
554,725,289,276,992,711,710,575,759,503,682,377,408,218,311,599,310,289,721,
151,299,139,388,831,202,309,087,950,070,540,625,712,458,730,155,882,831,941,
504,756,783,736,689,874,468,594,162,915,613,778,130,216,579,573,893,143,011,
557,852,720,997,709,158,696,645,928,413,725,701,906,505,402,090,170,037,515,
863,869,534,305,511,772,347,149,273,812,860,427,455,632,814,047,192,179,780,
151,404,909,327,413,427,107,070,500,684,433,512,520,521,054,401,433,435,340,
568,845,982,037,785,035,322,282,518,460,609,206,468,281,770,071,928,621,246,
926,819,057,684,150,426,972,198,636,113,548,080,505,656,645,597,023,877,592,
017,899,722,445,877,123,297,038,748,202,358,665,151,915,685,587,159,618,683,
116,162,599,053,096,316,787,685,269,737,077,011,006,983,492,124,284,207,546,
993,727,716,320,421,034,942,975,912,110,428,895,838,217,572,024,563,084,324,
470,566,298,255,227,557,532,280,229,965,689,146,646,356,138,539,838,960,815,
211,987,442,524,577,219,703,449,026,313,896,736,380,534,928,032,262,879,977,
092,756,120,542,399,116,706,658,292,243,628,663,183,049,418,322,359,894,025,
042,307,674,134,644,044,175,791,618,399,408,731,085,705,732,097,049,812,205,
831,951,988,949,936,940,922,016,238,626,914,418,955,634,136,819,124,205,941,
419,947,936,437,381,722,597,794,429,973,920,295,915,683,916,079,411,478,673,
707,147,468,779,787,719,738,701,359,465,323,139,851,822,613,034,549,606,369,
007,031,754,295,050,467,914,789,586,414,509,893,835,264,760,336,569,589,293,
210,926,617,086,834,163,426,230,039,122,865,498,863,785,042,377,135,435,854,
046,695,629,266,570,853,465,210,032,278,167,546,078,516,328,307,510,481,142,
883,206,748,102,557,222,596,789,327,309,430,924,975,420,431,819,812,485,413,
853,252,182,885,898,729,633,423,962,521,953,139,450,589,979,424,321,440,199,
646,391,295,576,299,544,473,239,969,840,175,642,171,883,778,706,347,995,884,
726,728,074,921,786,590,713,849,633,001,080,014,926,306,192,234,190,799,297,
006,444,020,842,197,415,340,461,693,696,409,234,941,241,426,691,132,102,383,
049,727,438,167,602,411,336,797,419,221,849,699,962,680,539,149,618,764,271,
250,206,042,216,610,000,870,538,335,257,861,367,013,029,613,494,056,527,101,
118,925,677,699,439,432,546,286,886,300,092,221,922,973,286,338,142,972,068,
061,252,103,799,274,580,554,051,181,779,418,660,585,644,447,078,646,713,470,
626,762,154,101,917,898,789,536,805,053,852,830,750,331,127,118,282,182,859,
176,432,706,334,339,296,527,637,523,877,759,775,516,472,463,763,978,503,177,
881,956,833,851,804,933,352,887,273,605,869,229,288,910,332,070,656,953,472,
435,105,628,157,420,140,675,153,196,027,271,754,816,157,272,723,545,609,285,
293,776,572,737,243,967,647,699,918,112,572,328,636,420,022,580,496,479,850,
349,933,343,270,350,690,293,792,881,580,253,084,664,054,685,811,555,767,801,
626,849,790,649,235,255,341,464,075,450,242,409,183,958,532,137,015,554,642,
673,817,846,861,650,741,177,647,289,438,152,515,634,158,734,275,744,793,768,
632,593,279,902,381,920,176,521,102,045,294,855,312,974,757,398,841,561,218,
971,920,551,823,983,103,438,993,026,238,172,960,509,923,587,119,838,707,038,
929,915,992,331,540,281,805,361,846,651,314,067,340,599,357,456,657,685,086,
924,205,297,721,746,380,138,134,655,040,685,780,934,929,896,439,055,026,413,
796,306,433,121,685,824,035,178,297,066,841,962,504,750,460,312,378,855,142,
730,448,677,811,436,752,735,658,559,139,498,342,762,931,593,554,646,096,553,
805,731,966,751,225,426,526,420,009,336,499,158,576,414,604,572,146,370,025,
126,993,034,389,436,565,739,750,090,401,361,788,232,846,268,826,433,961,789,
128,965,454,800,133,175,629,031,074,779,862,207,198,733,888,157,850,003,037,
976,069,848,941,728,401,607,962,910,400,133,844,346,170,504,324,184,920,770,
637,251,833,168,159,818,163,679,858,084,100,005,877,555,075,699,155,157,175,
948,469,456,379,945,395,083,512,683,878,582,979,463,069,077,498,086,282,332,
472,056,919,763,263,756,219,541,462,767,869,894,130,104,780,791,559,967,572,
176,722,922,085,571,636,306,128,634,952,000,076,109,124,955,012,470,143,620,
951,509,370,642,399,292,846,291,103,509,593,665,358,954,480,016,550,338,847,
129,815,961,132,975,194,729,674,901,931,169,971,694,659,792,279,486,728,728,
483,865,322,796,075,772,994,222,515,068,462,672,767,677,771,398,128,059,779,
941,364,889,498,941,816,551,947,771,906,281,477,604,842,485,985,141,143,974,
182,741,188,929,561,460,179,490,161,541,117,815,086,526,538,658,029,132,740,
012,349,949,976,357,475,421,590,100,105,954,333,193,004,761,309,770,803,699,
458,689,101,109,152,269,264,480,864,682,144,585,126,269,101,059,481,525,383,
192,685,995,014,025,980,952,270,299,019,150,720,468,855,087,608,331,327,830,
787,880,095,293,072,096,844,798,556,713,862,735,484,907,587,868,645,420,195,
438,034,275,171,057,866,795,572,212,641,724,713,362,522,969,775,134,014,378,
988,013,867,376,810,654,272,572,078,299,454,781,398,184,322,866,354,103,571,
400,767,390,758,574,666,013,329,368,927,485,256,927,082,986,663,702,227,177,
280,435,567,073,599,970,455,460,634,205,995,572,391,158,685,619,330,946,295,
744,728,077,220,004,852,039,847,129,187,864,152,122,073,993,875,993,599,570,
339,851,102,259,157,602,543,275,184,866,074,490,293,705,661,252,120,772,903,
361,426,763,458,643,192,790,651,188,917,285,042,077,133,600,157,436,753,145,
403,738,259,336,721,993,321,658,694,497,884,391,054,342,698,922,890,695,621,
398,662,386,831,375,979,954,170,329,778,437,475,963,857,340,626,752,862,542,
652,212,367,688,018,557,610,307,248,136,836,955,645,363,525,604,415,680,021,
014,606,904,189,997,375,973,718,660,145,913,310,189,354,056,410,237,275,502,
927,883,825,331,798,887,354,602,788,859,070,126,671,777,342,184,963,007,882,
478,297,070,736,303,593,536,534,952,707,500,396,293,810,794,426,217,717,470,
830,533,801,200,108,250,043,318,821,474,174,517,512,246,659,355,286,698,413,
810,085,421,796,352,832,065,750,199,879,309,793,217,989,549,146,816,625,547,
622,682,803,899,556,766,487,155,158,506,590,952,078,070,663,524,246,709,076,
805,289,559,380,260,618,293,443,385,502,337,154,698,339,686,115,674,510,775,
656,886,166,617,086,302,026,482,695,020,843,117,605,059,644,619,998,639,036,
678,431,952,391,858,329,543,543,992,756,546,849,465,564,832,034,688,237,108,
565,727,667,646,764,009,870,260,319,397,976,656,911,555,146,672,073,561,440,
884,730,848,871,253,084,674,339,337,910,804,055,397,319,589,885,240,061,700,
698,617,276,467,932,615,534,293,250,606,261,571,012,161,190,383,545,966,285,
188,178,917,158,162,480,368,835,914,372,663,764,463,144,821,167,920,768,714,
856,040,636,751,946,725,304,654,644,230,084,653,168,566,980,661,037,867,766,
989,934,880,241,059,101,241,034,374,118,163,006,822,985,509,864,120,398,258,
233,803,579,264,907,818,455,823,351,127,878,423,184,955,105,147,815,006,416,
523,121,869,486,856,173,111,850,388,155,441,116,344,086,535,545,270,837,050,
404,323,937,583,631,994,291,143,148,181,780,406,965,072,591,671,971,832,815,
131,932,051,953,039,820,746,461,437,104,584,921,056,728,129,954,869,912,338,
141,249,026,551,975,310,858,730,017,462,775,534,408,980,096,339,218,317,482,
598,274,365,258,477,355,185,840,527,345,008,109,944,449,540,788,108,870,520,
146,746,924,132,223,582,934,143,679,040,061,315,038,314,245,478,874,923,083,
455,750,761,500,018,904,968,066,045,887,909,163,406,002,787,091,539,776,210,
504,984,195,390,261,489,707,058,721,959,799,327,883,498,638,872,110,239,180,
666,228,377,286,554,584,494,143,071,205,033,246,318,740,794,404,573,044,117,
991,633,662,662,960,076,623,131,328,976,550,126,577,999,175,503,127,555,840,
784,453,296,264,909,320,871,045,784,348,126,723,215,732,953,623,821,245,197,
942,099,778,416,284,398,545,342,312,639,507,195,783,186,030,319,557,680,796,
190,489,355,238,702,821,965,449,315,662,506,269,221,928,364,238,471,256,738,
807,888,723,567,055,969,554,442,895,424,840,596,880,722,552,152,180,586,108,
105,429,740,923,358,287,390,848,874,757,500,373,333,777,407,411,004,661,567,
814,958,146,036,030,533,209,645,051,136,891,668,130,136,105,818,852,564,965,
027,871,706,665,729,618,329,144,541,464,787,932,544,719,393,899,546,316,754,
594,951,479,146,358,236,464,429,435,518,737,469,976,167,777,771,945,160,630,
152,632,715,712,313,654,776,458,512,414,603,665,644,795,555,068,829,206,340,
858,287,205,044,074,483,151,453,545,863,074,500,464,918,203,760,264,135,131,
857,920,408,575,449,543,492,734,345,289,636,198,320,314,640,714,454,111,517,
427,152,563,507,954,837,824,926,912,719,479,693,840,784,492,369,096,867,460,
006,757,909,763,776,832,933,786,727,780,025,167,894,925,182,787,625,323,760,
609,945,966,530,017,885,974,785,689,327,335,776,751,388,568,244,051,820,559,
512,239,301,945,510,395,310,723,556,741,413,556,358,248,194,327,881,207,977,
708,378,842,700,829,002,048,368,108,403,224,008,143,658,878,033,667,464,074,
243,215,954,666,585,512,873,369,123,403,930,524,451,300,723,079,942,483,108,
331,588,263,599,644,279,658,852,062,986,553,011,203,161,081,220,985,869,381,
538,437,247,492,523,701,635,911,113,422,849,478,309,242,139,715,119,093,368,
342,353,940,300,738,117,801,404,047,754,171,588,538,805,451,154,106,230,504,
273,637,000,398,989,365,696,198,481,916,499,890,645,452,144,518,834,713,977,
528,171,846,098,175,668,795,553,450,770,264,189,740,033,748,832,637,658,016,
986,372,610,049,585,912,841,602,298,090,081,032,386,868,030,310,273,884,107,
149,489,654,333,287,026,908,492,346,804,395,646,791,857,959,244,430,141,427,
364,180,966,728,269,597,786,803,376,765,290,311,166,859,023,550,353,263,655,
382,418,946,118,412,672,359,072,815,890,340,539,190,584,869,315,674,277,769,
155,235,939,745,630,972,923,308,880,375,878,316,267,025,581,606,182,579,554,
736,098,155,333,227,172,064,965,534,942,706,856,148,955,737,186,753,486,189,
281,420,181,929,829,406,789,994,626,230,045,620,639,201,707,254,645,172,070,
905,457,649,967,516,538,460,966,587,031,718,452,407,383,698,348,784,326,363,
248,969,189,856,699,922,621,020,961,498,513,489,943,451,916,473,292,090,568,
398,376,694,384,332,400,796,419,099,300,790,456,090,714,014,630,548,941,818,
765,967,720,162,670,652,899,198,322,883,071,794,940,709,250,529,935,692,467,
073,368,348,442,599,591,218,545,565,019,679,692,303,824,182,971,974,490,219,
022,342,001,796,891,032,710,220,004,226,620,661,996,544,777,056,463,399,546,
893,191,305,922,717,576,006,507,330,843,478,313,311,278,156,313,146,672,756,
081,119,090,592,214,505,078,359,761,220,770,931,972,648,483,337,238,499,323,
962,657,549,717,177,584,631,913,358,946,999,459,279,437,424,320,280,640,769,
495,742,093,943,825,506,263,748,493,310,190,809,578,968,085,089,010,030,151,
652,605,784,548,736,860,033,294,873,581,449,546,487,934,921,078,652,249,194,
800,747,333,698,305,798,391,223,713,826,490,119,638,380,668,977,107,461,713,
260,318,271,213,483,058,157,377,770,122,248,405,021,189,577,286,935,677,269,
466,320,725,209,393,852,248,321,204,195,891,791,058,252,596,642,943,416,472,
038,027,332,553,409,159,412,320,671,598,139,559,185,120,769,360,120,557,792,
511,702,813,400,747,161,157,734,414,542,633,029,240,341,593,182,500,993,599,
715,941,667,827,048,701,445,403,315,402,781,347,770,688,898,945,154,427,205,
080,615,929,115,851,520,392,974,705,524,227,172,377,926,040,071,996,408,588,
666,420,969,790,477,864,599,991,275,647,193,384,175,583,532,941,176,820,556,
034,190,279,447,408,156,458,669,228,164,019,271,390,266,034,828,247,233,947,
763,736,834,840,002,152,371,520,510,053,733,828,653,411,676,089,608,822,691,
647,264,165,892,748,866,977,329,336,416,950,506,321,185,059,649,131,538,568,
420,739,547,262,050,592,841,271,458,484,531,793,392,371,662,578,439,851,051,
706,243,913,943,850,532,593,536,587,038,564,631,279,179,148,992,562,340,990,
614,159,407,447,786,568,232,673,152,744,902,106,423,268,467,727,255,478,420,
918,952,248,273,746,255,695,290,055,221,484,836,377,331,609,535,569,102,777,
995,217,870,225,646,124,455,594,408,415,200,135,507,428,350,295,538,242,278,
385,107,170,606,046,825,659,139,454,632,830,045,597,867,367,393,145,949,438,
457,273,762,231,289,467,908,295,130,482,986,372,458,918,378,076,094,305,739,
905,363,094,630,790,355,606,989,672,846,424,135,552,419,231,177,147,758,291,
859,937,413,369,981,165,465,377,407,797,156,998,522,904,369,898,374,362,014,
844,562,951,470,248,135,999,768,991,158,280,796,267,458,548,380,667,196,928,
043,293,783,609,823,257,471,690,516,289,914,559,969,529,479,696,951,754,264,
390,371,756,958,212,274,559,687,157,538,140,190,223,990,726,786,755,778,450,
391,970,895,868,142,943,402,031,254,783,349,041,677,545,763,818,626,198,373,
235,059,449,828,493,326,610,448,534,974,798,146,924,706,478,278,200,130,171,
362,594,710,892,463,486,748,126,277,258,850,864,132,751,753,746,282,373,744,
119,764,311,309,108,984,755,455,344,782,062,686,891,264,118,522,916,077,388,
788,769,439,993,648,565,285,046,918,719,231,548,895,908,470,185,759,630,392,
580,717,055,071,154,530,955,488,681,112,748,409,768,591,199,048,925,174,992,
894,598,114,771,021,819,141,907,170,950,141,774,166,854,784,838,641,593,781,
749,077,753,808,573,987,932,375,312,740,030,088,575,902,067,398,681,066,118,
841,472,859,701,741,954,387,680,014,271,972,627,520,717,786,246,766,826,614,
722,061,544,811,767,403,701,271,882,857,185,955,741,942,592,284,280,961,749,
428,278,399,284,933,173,828,160,844,721,310,692,454,904,745,038,233,954,379,
270,278,137,694,516,818,321,191,209,984,090,788,172,410,802,350,546,750,172,
045,654,459,601,444,255,790,306,370,968,929,296,634,175,960,041,359,908,933,
886,952,670,780,608,269,365,549,902,363,213,008,568,718,184,886,505,592,310,
993,320,222,086,969,666,007,113,561,566,945,303,823,912,435,355,727,189,865,
460,784,597,756,416,514,994,925,631,390,364,672,114,803,444,909,328,046,202,
342,415,153,013,697,927,266,363,225,497,259,085,416,053,584,143,344,259,852,
261,277,651,059,990,623,669,270,630,131,947,454,074,755,291,579,427,914,756,
582,952,015,970,744,190,473,187,336,507,548,617,228,541,441,111,066,834,311,
458,426,438,524,129,695,300,482,901,066,374,726,218,153,159,199,537,075,120,
831,160,272,313,518,165,549,566,745,469,443,124,177,083,768,839,318,639,307,
917,743,852,891,444,484,574,972,797,035,197,118,047,996,225,761,173,973,739,
122,120,440,728,201,699,987,539,316,652,470,701,914,976,143,706,578,392,617,
480,150,681,947,580,298,585,339,741,865,926,300,122,449,369,272,325,561,484,
370,215,784,420,102,602,084,117,590,138,620,813,576,393,684,036,583,391,770,
525,030,201,986,012,771,693,217,478,757,124,857,187,941,224,947,191,058,221,
528,266,890,815,188,434,609,774,695,480,240,204,301,293,761,096,934,748,453,
940,671,125,870,556,490,324,150,660,904,933,957,509,324,736,379,993,952,995,
761,749,064,990,631,822,166,267,899,283,139,627,631,688,034,543,895,105,155,
029,295,986,390,784,836,663,882,974,963,840,131,565,922,923,008,079,294,562,
585,820,567,390,125,165,404,049,511,446,841,665,557,696,894,817,609,644,751,
269,011,643,257,457,345,139,794,015,149,593,779,937,395,848,532,206,612,225,
015,840,758,093,249,403,315,743,620,463,564,784,513,976,418,149,653,727,335,
177,333,818,488,711,469,714,568,891,112,629,021,494,173,531,923,351,757,428,
357,552,235,545,174,240,438,436,849,449,108,599,993,117,516,694,309,386,521,
708,617,873,779,576,279,641,380,528,511,713,566,063,971,160,553,769,911,944,
760,768,409,890,232,094,802,662,412,370,340,026,380,763,606,897,366,641,409,
915,627,349,139,508,435,886,849,940,273,734,886,994,657,824,894,956,338,683,
692,317,481,027,313,837,296,921,189,102,386,331,078,333,460,157,401,733,259,
874,740,356,736,706,939,918,164,719,112,405,870,433,962,483,026,508,624,740,
061,152,644,527,064,956,498,966,549,737,670,714,818,701,497,489,784,556,078,
854,477,124,991,207,471,347,034,252,822,192,398,891,052,284,657,491,353,304,
048,187,681,606,554,143,809,477,743,980,236,723,698,157,404,774,373,037,812,
948,630,995,142,891,378,066,681,989,313,218,279,127,143,846,502,323,360,689,
462,139,480,304,961,104,517,535,717,315,923,216,960,500,627,800,655,256,874,
429,389,608,098,220,653,280,271,728,825,175,490,247,716,593,636,755,018,258,
718,040,282,578,934,819,827,525,390,294,998,902,992,651,215,365,653,073,852,
907,303,009,727,973,978,021,893,635,682,116,496,214,065,822,662,081,765,862,
935,887,053,490,389,099,518,504,882,922,495,724,056,874,680,704,394,531,718,
708,193,749,818,434,854,969,613,663,558,449,110,566,248,435,961,567,138,651,
151,143,682,479,516,207,448,074,784,617,465,752,807,031,288,840,980,065,513,
148,420,990,056,686,002,276,516,125,838,371,324,903,595,369,968,210,896,886,
578,989,207,425,597,356,278,155,114,886,673,259,643,014,884,235,936,638,028,
127,004,861,558,984,861,634,477,988,847,467,790,461,314,622,465,772,813,598,
325,701,727,678,755,333,864,388,561,885,600,027,732,529,471,336,294,156,699,
101,036,028,172,810,105,687,795,537,409,775,294,903,205,063,928,352,493,175,
898,600,726,095,659,832,832,627,667,338,843,510,084,660,586,190,254,851,610,
884,840,697,976,761,432,810,394,426,318,871,388,423,227,660,086,031,628,440,
784,418,415,351,212,547,073,766,570,837,776,130,393,351,150,875,136,202,386,
212,214,118,689,220,150,801,242,416,007,497,879,990,718,860,887,972,013,949,
977,521,732,049,812,137,285,750,851,705,916,456,702,750,435,655,776,775,309,
077,173,174,922,030,873,828,198,348,843,213,568,354,853,304,934,353,780,892,
564,533,793,702,752,521,502,802,761,132,958,596,164,731,056,516,629,110,852,
551,270,926,645,859,275,829,638,325,553,376,574,431,695,553,869,883,160,838,
900,698,173,675,974,846,482,326,022,121,707,085,103,402,495,715,068,624,042,
535,003,201,766,507,670,648,529,666,316,500,221,069,989,136,883,878,659,895,
605,549,776,006,581,078,151,734,105,142,326,405,369,768,239,018,580,611,964,
742,605,552,955,426,599,545,259,296,183,633,429,052,284,219,088,029,807,204,
426,299,766,922,259,592,453,639,229,576,853,788,954,285,067,240,658,751,044,
226,444,121,393,035,755,142,172,441,995,265,858,297,621,448,657,621,230,672,
303,563,387,580,927,702,443,827,844,279,907,208,993,248,732,823,833,882,260,
215,123,746,565,826,645,873,759,397,633,223,405,815,680,757,710,291,502,478,
935,822,883,457,523,416,283,221,504,360,169,975,776,404,217,776,206,092,040,
401,975,653,795,416,742,449,388,372,518,219,150,880,141,696,912,426,086,806,
367,195,978,503,301,722,181,802,575,765,703,051,876,442,143,071,639,548,698,
165,952,611,090,008,358,987,387,174,321,412,017,750,398,176,174,385,153,673,
071,500,887,251,629,642,057,516,048,899,486,813,793,783,755,403,917,250,715,
863,078,057,093,686,785,016,009,074,616,078,628,395,833,350,458,769,186,111,
616,849,494,724,199,640,981,765,494,689,253,330,400,579,823,994,616,239,592,
826,490,297,728,297,305,114,638,236,404,715,933,418,809,039,669,394,297,806,
044,664,080,859,515,252,136,125,973,888,515,478,558,736,914,437,476,363,625,
702,945,721,023,497,294,061,306,136,156,770,739,236,855,379,095,465,425,752,
109,264,237,030,113,565,529,533,575,544,084,879,687,452,984,769,333,262,757,
774,905,936,530,407,206,246,372,372,576,278,817,525,646,435,481,804,541,340,
968,785,736,726,663,607,654,030,915,491,122,839,295,897,440,555,072,851,791,
958,373,537,986,215,842,405,502,254,180,413,897,788,436,207,202,283,487,350,
660,846,588,076,262,253,456,093,313,203,756,453,331,073,401,432,004,356,379,
369,268,496,232,654,123,630,359,080,183,576,930,902,057,647,632,378,916,401,
304,727,728,082,088,396,183,821,702,907,909,183,069,555,311,184,420,672,307,
919,510,154,775,984,818,350,842,255,040,428,916,452,732,428,355,505,575,664,
829,924,310,741,774,781,167,093,811,741,205,295,625,594,967,383,417,403,653,
186,938,305,796,510,833,119,236,416,232,225,323,517,059,033,671,689,423,809,
802,563,036,521,147,427,540,186,534,801,216,049,668,898,588,514,436,611,010,
498,414,789,344,604,622,901,129,750,810,190,100,028,711,206,015,816,742,333,
063,631,107,542,186,039,000,442,121,530,714,365,830,825,774,080,869,829,061,
891,027,230,148,558,878,059,332,006,338,343,390,057,499,036,407,987,391,389,
622,751,283,647,470,785,661,785,648,576,667,766,405,045,123,965,223,674,282,
264,449,315,887,889,976,807,814,246,247,500,090,608,345,780,671,309,736,738,
058,344,859,026,581,639,742,196,196,761,923,627,119,941,169,360,724,400,997,
482,899,255,221,910,983,943,732,779,188,989,802,877,207,879,207,045,832,715,
210,540,095,822,585,170,847,908,800,299,361,831,322,375,906,337,629,431,693,
273,151,739,839,737,118,338,688,466,080,902,600,081,151,913,755,388,710,838,
699,186,161,787,031,712,571,805,114,007,290,373,857,831,813,860,534,746,360,
198,905,515,299,008,303,980,751,448,079,223,620,972,992,689,729,153,517,447,
508,407,023,632,071,750,013,982,992,951,735,117,339,896,370,308,880,219,121,
737,212,693,960,515,305,170,450,921,634,671,190,883,797,722,195,876,350,652,
073,455,456,463,182,519,306,322,876,797,211,054,848,886,122,757,230,134,460,
135,501,291,509,706,706,905,054,720,721,133,474,779,357,685,819,559,371,493,
396,477,793,622,989,556,933,070,063,628,845,005,037,395,901,134,245,690,419,
585,228,655,619,157,368,810,345,217,352,746,302,419,935,598,468,923,324,090,
519,359,134,439,375,045,587,219,789,535,801,945,543,543,938,253,852,346,056,
076,950,316,543,423,176,518,982,714,035,085,667,716,091,257,070,288,344,916,
336,114,824,685,445,709,949,655,565,478,069,893,848,719,684,391,349,544,092,
756,695,550,800,039,917,321,867,869,179,686,157,445,122,317,687,383,901,965,
208,457,000,631,213,908,511,399,005,520,170,811,550,307,706,287,333,825,775,
689,930,401,524,104,420,324,172,169,260,234,158,731,872,827,801,963,447,358,
353,269,472,333,972,617,302,144,014,730,110,491,234,369,016,024,378,545,233,
428,170,707,377,886,920,213,195,739,555,653,227,333,208,040,599,370,441,616,
128,636,468,649,827,261,172,215,425,511,606,166,819,842,552,143,710,008,475,
185,145,360,210,679,633,742,264,395,119,546,591,880,765,141,538,332,263,310,
270,666,877,031,328,610,143,542,637,040,310,213,169,906,190,041,770,116,046,
678,873,882,988,214,037,223,667,488,668,484,683,807,264,277,234,219,473,462,
856,309,176,606,434,412,582,623,286,582,495,863,961,838,382,483,251,954,444,
049,879,046,386,289,332,186,568,258,324,543,384,125,694,316,545,964,345,463,
113,160,062,869,421,813,710,976,947,696,420,483,348,719,386,900,096,586,880,
977,242,097,958,566,967,470,711,436,628,376,188,674,343,705,692,740,245,281,
402,278,732,211,003,544,382,723,074,304,846,842,291,732,995,006,215,919,701,
135,224,810,238,747,882,018,331,981,451,685,276,186,750,985,672,546,758,498,
689,623,289,585,352,149,762,446,571,901,989,314,981,705,882,508,225,831,861,
999,218,388,894,999,777,259,433,624,103,415,146,074,931,511,629,908,313,091,
422,186,295,850,309,718,144,844,601,539,295,246,725,350,630,825,426,241,856,
232,160,680,997,685,269,925,533,670,060,730,140,555,947,189,059,426,406,324,
648,543,681,039,143,794,174,082,704,517,172,654,588,469,911,811,566,818,487,
304,954,206,766,083,561,813,712,243,098,931,435,381,139,811,119,390,519,825,
092,311,467,982,800,806,052,852,488,675,036,262,230,047,857,025,408,326,393,
917,097,350,430,920,381,679,269,947,530,827,301,860,063,169,773,618,744,408,
197,150,820,571,031,987,517,593,181,322,129,312,437,775,329,067,779,544,286,
326,367,446,617,558,275,106,669,618,772,497,734,972,662,357,927,252,105,552,
717,301,776,133,668,233,060,292,504,511,081,036,565,214,859,349,526,143,075,
041,616,734,556,276,917,217,613,541,359,659,579,735,392,994,291,092,213,768,
622,205,149,341,712,763,485,819,285,453,735,434,350,045,825,628,898,195,695,
755,299,135,407,517,619,992,107,878,602,142,619,901,392,038,396,025,355,338,
295,213,762,154,073,221,478,576,061,106,611,330,457,095,876,360,737,259,528,
230,933,748,518,625,501,885,074,266,069,440,407,234,130,895,319,402,938,812,
848,120,967,837,441,186,553,889,496,945,894,291,281,333,919,054,423,955,054,
026,236,606,980,407,920,651,249,956,065,105,885,591,515,769,181,851,258,533,
518,036,098,242,293,331,296,575,780,681,630,540,239,402,180,112,317,658,274,
288,883,625,592,890,784,678,673,990,742,029,329,118,205,034,021,029,211,290,
454,051,624,806,202,583,692,505,419,766,475,984,309,078,421,748,591,120,862,
014,135,181,923,737,477,141,143,989,016,774,995,258,475,683,998,250,323,927,
443,170,054,725,387,286,635,599,719,559,336,499,441,017,164,990,982,052,076,
093,326,826,203,983,408,892,334,235,105,888,879,860,685,843,250,036,091,773,
896,166,734,087,805,299,387,847,163,945,349,321,969,895,608,589,320,169,605,
242,405,091,972,133,181,483,780,346,848,510,648,802,438,131,613,481,921,325,
362,870,562,713,183,635,810,435,958,833,021,263,802,657,783,142,874,820,989,
309,825,042,378,954,941,999,834,923,201,171,479,057,381,601,860,372,145,951,
675,228,561,231,226,768,442,122,086,385,481,846,981,412,528,443,067,368,135,
950,766,921,727,024,172,239,358,022,142,805,587,938,962,950,856,051,842,945,
363,126,765,054,359,252,346,479,534,861,150,962,694,792,066,402,509,102,973,
686,335,776,274,225,581,796,828,058,920,818,737,042,187,973,264,896,016,679,
932,301,611,139,642,644,637,146,199,430,762,497,321,605,037,750,048,199,975,
489,510,339,282,540,245,009,236,909,078,470,745,011,513,150,229,512,665,177,
097,558,415,392,893,059,545,309,410,577,593,649,807,431,593,030,643,912,113,
003,112,464,919,146,582,634,912,895,747,487,956,069,534,438,345,497,051,471,
121,111,043,123,419,301,604,607,247,985,092,242,863,290,230,401,711,651,653,
421,274,095,772,610,432,013,754,077,633,693,136,068,944,274,934,969,389,951,
892,596,808,747,233,010,561,272,562,664,304,980,509,022,954,173,584,012,690,
793,966,206,682,658,179,847,930,136,933,955,845,661,146,901,374,070,295,033,
664,250,465,721,098,331,270,934,845,036,589,565,707,797,837,909,829,564,120,
676,304,339,213,054,098,474,461,104,900,443,703,809,363,877,327,705,658,694,
462,281,843,350,757,161,216,275,965,915,940,651,446,712,859,551,274,462,064,
615,928,615,095,723,505,560,914,804,458,455,569,360,657,221,919,411,503,085,
935,865,405,550,228,818,225,301,358,996,416,559,725,485,975,782,479,986,492,
315,438,605,609,070,138,604,741,044,957,515,795,121,619,460,334,558,747,268,
942,193,356,750,995,935,387,224,610,505,073,657,762,707,569,087,228,276,806,
012,314,793,704,879,168,980,582,286,436,369,218,282,049,219,921,496,025,593,
386,415,470,226,523,150,574,238,114,150,324,891,002,447,798,828,445,863,925,
975,914,413,883,468,646,212,591,114,242,168,852,448,260,187,418,138,615,066,
170,956,902,323,697,962,107,635,065,524,559,957,596,161,046,843,731,459,777,
803,104,358,659,588,965,197,650,688,003,845,684,256,683,550,722,232,133,952,
524,511,992,147,667,601,481,811,784,281,995,773,853,094,311,203,538,263,319,
349,621,350,541,873,880,782,786,782,729,066,997,014,591,968,158,347,653,229,
050,694,039,595,093,942,247,210,284,577,726,911,049,130,751,570,536,984,233,
412,239,807,867,405,990,963,558,391,133,934,050,069,715,304,998,458,694,943,
366,950,152,031,969,987,978,515,840,277,316,739,734,064,545,165,241,618,560,
485,477,631,191,923,703,190,796,932,153,254,349,430,539,494,402,245,958,525,
730,071,737,421,560,564,364,324,779,929,504,100,207,190,328,729,612,244,820,
154,815,741,596,999,656,341,817,102,509,269,014,360,510,512,561,578,489,125,
651,980,998,270,950,401,331,300,730,565,679,498,642,121,698,171,439,205,523,
834,601,787,647,321,866,188,395,126,831,042,070,051,397,304,698,576,372,975,
445,420,377,470,891,995,026,941,736,007,966,333,859,079,675,100,946,273,386,
494,281,616,315,237,809,772,158,539,705,360,388,504,128,869,952,392,831,729,
392,981,388,156,846,319,010,961,274,339,735,434,843,668,337,975,315,720,898,
637,919,759,949,618,683,353,337,239,996,503,511,770,501,739,471,992,014,378,
710,382,175,154,469,284,445,400,566,241,464,337,387,194,242,559,558,601,781,
526,648,235,369,479,694,003,430,540,031,748,040,031,850,195,960,367,544,037,
528,459,481,225,451,306,468,999,764,673,820,818,615,282,911,727,773,489,387,
264,043,646,788,565,466,030,368,779,653,182,645,961,868,679,853,518,289,448,
604,060,369,807,949,495,795,187,089,289,002,254,364,024,272,709,555,935,491,
540,161,707,566,484,373,549,403,591,998,777,375,140,870,982,419,536,698,684,
593,495,895,010,822,399,997,466,727,344,959,660,886,739,877,211,607,798,362,
210,639,793,188,298,870,552,882,949,982,455,421,204,615,597,019,838,439,106,
872,626,488,034,362,142,909,572,881,902,050,492,298,716,916,891,809,139,411,
848,680,923,624,578,060,557,361,634,491,584,864,293,606,190,284,675,191,723,
447,737,379,781,514,293,464,408,576,788,782,533,291,967,778,312,047,722,164,
541,834,599,474,124,957,437,532,575,716,134,916,932,460,365,019,052,145,497,
599,680,678,964,923,085,544,641,630,414,796,450,006,186,601,293,280,339,436,
296,117,252,155,880,456,110,308,842,446,932,924,411,413,371,107,458,272,117,
602,598,617,643,540,328,366,365,670,970,888,708,057,324,148,437,260,734,667,
528,716,932,340,808,399,215,725,449,858,173,212,501,314,576,785,207,708,651,
609,768,632,583,142,802,149,606,374,850,561,943,299,056,349,235,971,509,200,
870,443,940,925,761,777,983,524,423,203,033,966,266,783,243,409,622,646,709,
040,240,460,273,696,264,721,796,890,397,295,468,099,296,357,092,736,032,301,
688,460,848,854,889,454,699,469,721,212,017,195,833,069,504,123,224,154,595,
285,328,394,754,999,141,518,917,030,765,642,115,471,367,735,875,408,202,478,
208,029,832,145,380,765,789,747,286,483,610,194,554,105,834,507,259,693,415,
482,470,257,517,862,293,734,591,921,013,467,951,056,850,203,173,662,071,324,
579,980,737,622,750,451,911,087,691,813,067,379,911,854,983,963,622,694,632,
714,974,459,229,901,573,316,801,906,273,104,417,217,461,798,878,475,936,131,
603,422,644,650,198,587,128,600,522,808,566,923,815,246,853,903,447,160,617,
626,068,793,000,406,391,330,151,337,967,674,370,518,934,574,677,511,543,093,
037,961,695,738,186,312,985,180,831,825,126,399,069,045,556,062,904,406,162,
195,840,424,845,471,215,250,404,176,932,171,257,513,260,446,514,657,618,848,
930,496,163,082,227,858,100,945,145,820,967,714,489,148,473,356,448,394,388,
922,215,940,857,195,293,136,399,618,404,302,681,541,891,398,140,671,951,521,
027,538,699,561,376,692,363,303,823,241,324,774,188,410,396,019,720,405,571,
467,587,171,205,389,024,860,124,856,354,626,533,247,498,036,559,916,219,015,
851,377,348,007,431,400,087,649,206,419,594,942,450,896,811,846,150,469,142,
511,660,502,241,058,410,636,748,743,544,861,706,259,338,879,965,118,172,341,
018,144,232,321,005,584,524,097,282,982,271,979,663,526,795,981,259,646,248,
653,196,294,476,095,718,095,151,931,885,502,842,037,479,269,402,761,926,674,
911,148,144,897,506,639,597,518,294,126,743,274,067,658,230,238,579,996,810,
570,937,692,888,696,075,418,289,420,289,544,535,993,423,876,505,110,443,276,
170,205,298,222,632,177,470,610,358,555,663,598,295,113,820,170,896,495,738,
459,881,875,581,631,709,185,328,490,029,432,696,764,307,520,677,393,285,796,
373,295,107,403,098,457,638,807,914,472,646,632,211,897,388,504,548,491,262,
059,596,255,334,445,347,869,345,706,659,425,399,649,631,379,091,688,879,861,
380,258,897,188,363,498,352,394,757,838,933,300,281,283,706,666,168,899,043,
832,077,657,462,938,169,567,762,976,085,041,844,022,442,766,922,636,109,932,
089,437,898,135,560,143,268,023,512,502,385,239,594,592,398,473,174,202,484,
901,250,858,247,083,049,585,744,293,669,146,012,584,542,948,451,936,691,846,
884,846,428,557,799,860,764,352,700,047,916,232,502,680,500,620,963,493,527,
778,007,738,501,376,673,735,441,156,643,287,400,957,899,327,752,755,693,858,
061,712,885,541,219,860,129,148,927,989,931,337,138,041,225,363,356,447,664,
706,236,044,287,314,025,091,222,932,878,407,978,380,008,625,731,592,364,222,
080,412,326,631,576,855,867,554,976,137,532,982,291,531,232,285,712,861,267,
445,366,993,114,900,943,165,171,569,612,455,103,147,867,365,766,095,604,764,
535,010,695,837,716,129,288,637,981,569,822,730,370,150,760,433,005,533,273,
426,068,750,506,786,353,954,595,631,612,810,798,080,255,706,969,936,967,499,
811,759,253,264,461,178,538,042,413,482,617,592,460,941,955,894,569,797,806,
611,837,179,364,272,206,564,765,373,845,498,174,054,071,317,028,746,535,928,
704,362,827,450,073,146,582,576,630,617,208,880,884,451,614,398,398,279,776,
730,703,704,546,696,617,505,738,660,011,032,240,430,701,485,114,449,459,721,
667,807,435,144,087,064,275,590,156,631,931,016,036,784,324,219,085,052,747,
330,947,499,838,057,877,554,982,668,640,335,352,927,221,239,280,027,141,206,
666,676,301,826,120,925,011,650,536,445,314,195,154,370,174,087,966,941,045,
476,644,703,977,865,911,860,082,778,933,003,628,869,030,960,040,003,962,705,
698,288,890,570,973,412,752,003,663,026,204,987,290,726,733,651,909,215,154,
371,713,535,885,053,285,205,530,927,484,570,730,405,645,363,218,328,832,486,
392,947,737,156,462,037,608,586,539,596,075,725,302,473,204,870,965,225,362,
874,215,194,398,640,788,903,617,959,436,497,763,097,881,657,671,490,785,698,
408,330,064,545,787,718,549,435,513,346,000,290,980,406,085,442,635,569,044,
956,777,371,861,708,293,730,283,453,263,196,229,284,243,264,718,179,126,870,
173,915,409,263,683,137,134,395,945,867,426,806,054,812,278,464,275,604,120,
584,499,948,752,315,166,891,481,522,023,993,018,338,513,849,143,637,532,722,
458,687,420,554,951,568,207,320,784,849,064,165,862,887,580,652,510,390,046,
114,119,057,862,531,279,308,162,060,528,049,605,946,594,778,002,610,640,392,
272,879,205,971,890,837,539,570,823,181,520,512,309,616,220,787,570,983,443,
753,142,878,628,424,867,762,134,791,228,420,350,845,278,989,260,433,660,042,
160,516,188,182,138,173,517,976,367,284,613,695,327,485,393,143,105,096,277,
153,787,049,277,105,536,032,729,991,782,538,742,384,108,430,571,801,801,233,
533,546,342,291,968,083,051,082,930,457,174,437,268,572,901,129,417,871,429,
084,072,546,169,973,282,811,318,441,815,388,299,969,508,411,310,351,540,346,
742,409,668,107,193,000,987,704,084,840,073,268,924,791,758,529,772,758,259,
437,715,911,385,620,767,976,630,168,632,728,778,143,460,668,859,287,220,420,
404,993,947,602,657,513,347,973,474,895,066,749,902,295,382,115,269,728,656,
848,793,893,605,851,734,902,661,889,603,501,956,777,973,652,136,955,480,869,
022,766,447,435,382,109,685,734,561,654,444,341,841,334,052,628,025,169,899,
182,428,471,099,424,449,072,406,081,427,761,219,210,878,680,301,764,254,407,
317,155,371,707,245,175,737,093,264,273,367,539,826,003,613,473,587,414,973,
488,254,264,485,821,347,106,804,244,820,694,083,528,019,860,080,327,406,063,
267,393,513,802,810,887,079,141,220,331,326,875,597,603,131,944,687,614,231,
877,329,449,057,070,502,479,385,879,017,386,470,493,478,603,262,666,316,004,
367,143,901,738,711,718,017,301,913,364,603,247,570,968,127,765,750,555,106,
612,836,323,459,697,021,525,543,296,458,145,257,229,826,300,407,602,197,301,
167,288,707,753,861,936,012,641,671,141,343,184,460,226,169,330,065,742,921,
941,084,947,398,163,920,176,629,109,440,866,060,628,343,386,797,527,620,011,
069,388,333,190,064,622,644,138,737,423,544,904,931,830,416,522,439,888,049,
101,546,717,625,379,403,748,938,267,830,986,516,466,327,621,623,219,958,206,
012,648,898,034,211,841,235,151,248,552,538,321,583,767,716,192,779,344,703,
264,918,728,232,162,952,005,908,087,910,724,317,294,303,820,125,783,694,924,
498,910,768,605,714,790,169,107,217,962,234,383,186,388,875,725,182,247,304,
128,643,809,000,779,917,099,744,127,156,592,357,572,611,488,373,053,110,822,
760,527,306,969,342,935,958,752,447,700,806,646,122,870,271,326,042,161,432,
359,931,496,273,759,843,888,527,433,108,254,343,167,813,195,108,148,571,327,
024,114,639,469,720,744,682,706,137,438,486,182,015,636,073,971,936,499,642,
397,867,835,128,291,995,045,170,803,112,193,998,585,735,957,785,063,770,639,
347,416,331,932,096,038,027,341,252,928,820,487,891,301,882,289,702,901,643,
580,103,669,176,628,471,016,369,200,557,997,976,493,881,246,330,050,804,915,
566,334,192,394,388,324,825,432,773,945,123,716,506,557,214,010,527,979,702,
570,322,162,602,781,523,439,478,858,171,595,728,249,237,222,814,131,443,990,
843,068,980,920,727,323,536,727,256,846,676,030,193,344,775,711,686,567,727,
807,080,558,326,310,752,054,998,643,128,041,598,845,681,465,692,934,003,381,
951,410,324,684,538,708,017,721,202,763,681,047,661,186,254,368,155,915,898,
459,227,302,537,171,533,656,012,896,427,245,654,015,458,217,016,299,904,666,
236,669,929,085,784,805,087,837,035,234,432,341,929,859,987,720,537,216,411,
689,061,534,474,244,612,105,706,928,876,383,776,513,238,388,328,739,368,811,
629,446,539,367,192,632,993,839,397,680,956,939,896,109,195,450,141,336,113,
325,488,981,512,399,572,446,668,105,480,312,746,164,010,242,172,865,020,282,
700,426,940,427,060,538,148,439,109,754,851,443,111,410,550,482,647,114,315,
988,381,024,993,560,558,986,371,408,437,540,979,899,074,693,904,470,710,921,
942,333,813,656,801,125,110,514,496,769,829,367,753,097,462,627,969,997,254,
588,913,621,044,588,054,200,676,114,135,155,709,013,232,359,373,966,063,957,
600,607,213,969,377,121,453,381,108,498,231,087,338,364,674,049,975,635,951,
457,713,943,016,900,495,620,063,944,428,787,540,908,947,245,631,655,950,269,
078,816,811,099,469,842,120,233,714,364,470,050,308,857,511,529,875,554,470,
323,452,492,628,566,472,437,200,180,213,566,900,550,632,632,002,838,684,289,
218,389,733,885,197,765,643,002,853,795,703,898,201,092,720,374,120,857,595,
613,264,843,212,968,725,828,512,561,707,990,085,861,921,536,511,961,723,999,
868,890,320,407,726,690,083,575,459,218,800,453,029,338,070,597,759,599,249,
088,821,950,365,240,607,001,960,823,990,459,199,740,502,240,004,635,798,891,
219,866,306,055,989,390,826,978,823,653,167,543,929,660,782,941,466,885,838,
369,700,034,723,049,032,081,128,386,991,053,613,523,818,741,802,423,624,160,
968,498,465,837,460,321,612,592,830,109,713,987,769,800,050,661,607,903,121,
200,397,878,697,949,823,890,180,234,998,303,443,533,675,705,657,677,247,547,
176,358,482,321,961,461,165,066,558,909,507,026,603,379,127,945,740,757,057,
162,606,607,062,932,313,103,784,790,125,889,871,446,040,356,569,499,946,315,
246,573,123,305,529,862,132,332,343,807,165,976,435,099,441,345,990,064,337,
292,154,306,941,213,296,378,444,810,539,541,503,832,317,912,734,040,006,605,
472,076,560,173,766,775,494,971,168,942,893,839,584,787,392,607,238,540,502,
128,315,842,706,177,816,688,028,950,777,998,191,881,014,265,364,540,856,768,
302,305,512,114,226,067,233,125,467,373,794,457,530,084,697,053,802,984,219,
675,921,067,462,542,202,608,265,907,276,327,446,402,269,069,730,409,741,979,
558,294,749,878,503,569,738,865,865,091,178,227,131,125,655,016,454,939,434,
238,207,126,423,476,930,463,519,753,447,906,319,109,563,680,610,581,733,283,
696,802,763,001,712,857,080,926,698,993,487,099,835,982,900,016,204,264,368,
210,031,250,504,972,982,242,043,318,032,685,924,533,095,831,101,194,398,922,
798,993,992,390,244,252,390,575,147,156,189,402,194,480,502,545,718,483,183,
994,266,482,800,367,755,955,569,156,266,498,888,024,478,948,746,772,261,457,
089,184,449,229,719,487,711,764,773,383,287,680,273,999,815,820,969,659,399,
826,082,391,102,761,266,326,565,110,419,599,878,599,065,515,802,697,053,439,
008,769,114,253,089,562,722,148,228,058,617,504,944,342,604,501,742,643,293,
490,887,008,714,030,543,951,605,398,231,203,166,993,053,646,347,900,767,564,
255,127,925,795,522,219,205,533,954,796,607,259,663,873,668,114,842,755,009,
349,805,344,357,078,456,436,349,701,673,587,219,526,701,626,506,580,530,618,
034,125,298,427,783,913,392,488,920,325,538,247,955,600,994,602,554,345,816,
414,039,470,925,934,944,543,613,047,663,481,366,484,168,002,551,804,676,603,
143,908,871,614,267,521,300,578,456,644,108,225,959,983,046,962,924,511,135,
479,670,994,163,657,390,631,108,829,500,344,048,577,116,549,237,058,118,808,
082,077,631,055,264,119,762,732,841,432,036,219,279,635,635,747,239,977,143,
482,447,282,643,432,836,259,255,801,131,999,024,795,966,982,916,604,927,790,
214,803,838,192,171,318,413,276,223,582,400,213,767,790,789,525,956,316,622,
674,022,413,038,093,825,938,991,879,236,121,236,342,367,571,809,368,698,258,
145,682,124,075,332,928,991,025,422,842,947,858,821,573,746,845,532,194,852,
781,284,187,269,878,654,087,520,229,637,361,555,050,400,751,038,816,529,288,
617,196,147,176,557,732,143,939,909,836,774,471,452,977,431,766,977,040,805,
962,663,026,477,330,135,684,391,444,994,643,676,071,043,520,054,892,845,575,
757,992,086,648,148,950,301,044,650,452,793,337,448,228,430,892,149,479,572,
029,668,830,864,686,945,944,266,562,789,996,467,252,810,978,848,398,876,585,
422,741,334,642,349,022,678,823,475,019,843,567,408,773,960,168,655,069,244,
659,895,725,111,840,355,842,643,846,097,795,431,431,721,455,330,936,490,112,
986,685,451,005,024,313,047,991,744,692,318,743,390,919,196,052,605,194,459,
259,576,346,422,889,472,679,315,841,947,440,854,503,018,421,632,620,249,431,
349,416,767,699,066,762,055,424,984,286,341,888,768,428,878,842,703,934,495,
178,221,097,175,867,083,500,992,169,996,776,159,838,556,083,083,884,167,957,
273,638,025,839,105,238,578,701,496,197,844,405,387,656,327,216,371,050,472,
132,280,733,350,747,533,684,098,422,989,242,705,421,267,524,289,352,586,775,
711,014,203,783,084,174,232,916,308,703,361,023,033,599,983,199,298,229,444,
396,934,717,868,616,810,598,993,490,968,336,043,626,570,907,934,191,833,774,
452,703,284,086,255,327,896,194,904,415,418,039,573,291,468,398,851,984,289,
106,986,616,261,395,536,598,286,483,271,517,217,070,808,158,105,399,053,741,
636,176,275,694,039,191,415,178,814,243,222,005,401,736,016,194,916,112,898,
516,130,708,666,484,581,567,383,081,438,576,313,162,326,165,087,361,671,244,
906,999,057,221,173,666,206,806,698,526,332,367,949,408,177,729,895,010,077,
134,464,935,643,949,207,612,477,608,930,292,943,900,408,697,235,621,988,373,
111,930,272,510,008,539,099,091,690,978,974,524,487,530,265,479,729,592,694,
057,887,971,538,468,193,146,901,877,964,650,759,949,790,356,473,117,449,764,
247,982,284,697,622,046,237,703,172,098,923,873,276,781,911,361,785,560,092,
745,104,226,902,506,251,015,998,979,704,998,126,761,653,277,064,917,796,203,
691,088,809,023,043,059,143,973,001,485,642,087,055,973,793,596,962,401,564,
644,169,503,339,918,202,927,312,030,515,129,088,414,166,583,326,158,848,767,
445,630,081,976,663,920,128,461,632,636,936,743,027,201,391,853,279,559,087,
046,918,897,039,285,660,202,835,737,566,408,351,697,715,211,648,764,274,357,
464,600,910,281,211,455,424,325,796,131,295,136,529,653,791,469,081,799,641,
831,512,285,880,663,581,487,143,259,371,413,115,365,824,679,372,760,533,556,
091,017,394,291,411,135,214,903,239,622,843,449,218,929,238,415,267,536,088,
283,889,652,926,730,558,046,689,228,319,966,224,178,284,929,437,718,207,314,
742,997,083,256,301,250,141,037,660,601,325,003,860,999,015,202,770,691,110,
775,320,648,510,163,604,114,296,248,361,391,735,753,764,170,774,916,193,357,
673,713,091,972,986,003,325,497,388,039,680,557,763,457,194,839,568,795,827,
745,539,160,568,123,859,284,015,528,931,424,347,688,812,420,159,718,409,893,
547,629,985,960,166,431,606,122,611,700,678,552,124,720,339,735,696,835,712,
667,768,323,071,871,951,197,660,846,027,534,561,154,312,016,699,141,614,769,
287,599,385,075,678,371,835,578,689,194,035,885,815,382,703,605,633,877,931,
253,941,371,358,718,089,306,607,889,828,843,877,969,854,058,601,987,749,688,
964,600,028,001,228,886,147,626,564,403,135,795,419,492,695,459,413,133,971,
331,342,164,382,552,602,843,186,649,798,795,497,490,440,791,974,682,251,829,
825,011,713,282,271,579,637,910,596,168,304,072,334,115,417,928,007,757,106,
938,801,761,986,952,066,648,007,707,443,800,229,308,114,827,211,413,699,877,
783,926,365,333,492,011,322,225,259,154,824,534,030,267,323,860,826,250,625,
975,034,677,103,656,571,406,672,368,025,932,541,195,410,144,780,060,322,327,
420,330,232,703,776,054,660,478,940,103,667,899,358,246,453,465,928,864,711,
442,991,297,756,455,368,531,235,455,159,456,727,718,911,628,923,635,901,319,
435,593,205,660,239,745,000,788,217,433,085,991,317,360,691,831,935,342,806,
281,769,799,826,368,562,851,810,009,618,624,423,190,675,962,065,121,615,094,
210,537,709,807,370,013,689,917,190,918,131,237,376,094,441,087,193,942,211,
055,572,794,139,422,080,310,997,608,314,684,410,119,326,021,253,275,626,914,
176,987,333,267,767,241,167,544,604,587,281,975,249,075,315,313,591,482,537,
460,185,913,278,517,567,789,489,333,851,112,896,302,739,532,752,992,050,987,
174,986,305,386,427,713,005,063,929,577,587,330,733,562,975,439,799,994,995,
110,814,254,371,724,616,405,084,094,423,710,387,963,166,431,093,341,323,918,
602,755,448,095,226,180,006,718,260,936,712,147,213,277,438,746,059,035,486,
255,284,115,610,854,844,007,775,331,179,567,720,960,677,140,045,878,669,794,
248,377,258,437,025,618,050,133,829,068,844,371,862,999,455,366,374,419,469,
947,441,611,781,692,923,353,195,290,660,602,937,649,721,890,868,348,512,209,
156,922,308,000,091,599,739,975,055,297,007,520,990,426,928,961,998,330,104,
771,885,123,050,605,703,312,062,890,939,079,664,647,687,546,326,933,673,263,
125,965,196,377,593,467,797,411,044,397,307,984,457,520,815,279,641,059,845,
854,719,960,321,514,441,166,189,037,627,405,481,950,779,298,795,157,615,099,
103,902,424,737,169,665,160,423,957,071,223,211,097,302,116,539,036,412,196,
866,937,633,149,483,369,523,687,968,101,641,371,960,990,753,994,844,304,620,
865,124,090,197,133,948,264,686,842,864,072,193,890,011,235,948,750,360,360,
489,306,457,183,542,463,465,790,973,333,219,974,238,809,543,955,810,201,776,
007,065,333,707,483,371,174,559,923,166,924,599,157,033,287,334,517,732,212,
605,018,065,990,143,437,406,040,399,541,526,620,638,908,846,558,195,710,750,
266,754,117,548,213,988,714,697,464,319,501,300,844,886,135,476,848,162,702,
556,997,493,183,248,613,822,497,307,526,159,310,991,068,832,898,964,031,238,
267,909,940,115,197,410,837,225,950,978,318,329,539,730,607,273,703,031,227,
580,012,322,864,423,838,675,039,160,955,251,434,888,972,468,472,669,184,526,
720,787,104,454,722,828,918,022,649,580,096,369,479,893,357,427,250,778,765,
005,105,586,408,213,678,645,852,550,912,175,098,542,138,994,278,538,111,464,
898,688,615,671,562,538,339,370,834,936,955,798,291,827,313,049,066,688,400,
782,593,348,437,676,562,843,520,105,165,024,639,939,315,317,907,578,041,652,
548,615,357,626,907,354,376,086,918,549,589,894,650,296,691,839,425,765,348,
828,410,304,870,598,793,984,158,002,658,776,518,277,020,381,813,190,429,713,
247,773,612,045,121,520,328,280,956,480,656,062,487,150,467,815,962,740,289,
984,063,151,011,941,896,970,948,563,014,968,002,911,290,195,310,715,582,872,
366,848,495,225,162,782,030,402,301,994,495,089,394,603,604,785,793,881,847,
287,347,144,333,548,611,308,836,722,139,160,741,821,439,858,575,628,483,700,
254,643,489,760,641,899,165,720,458,986,234,320,033,142,217,803,724,732,997,
872,865,226,110,220,188,475,389,047,454,960,836,188,664,807,097,378,201,610,
998,405,948,154,893,551,884,952,608,021,865,123,127,474,986,321,189,981,789,
479,742,789,787,395,551,055,144,716,971,463,057,982,912,732,203,646,261,925,
784,846,285,869,246,258,668,694,925,232,122,844,732,999,856,230,771,646,759,
384,870,557,799,822,121,908,367,120,670,746,546,521,291,643,880,302,991,888,
419,764,516,252,629,288,100,146,258,290,132,065,219,416,115,409,108,917,317,
163,645,711,838,517,686,326,012,853,966,981,130,496,176,513,640,775,786,986,
213,505,410,327,256,632,893,282,402,558,202,811,709,652,062,228,800,004,921,
675,248,369,409,398,976,318,731,126,948,692,417,132,004,418,890,527,924,425,
592,097,249,018,955,226,966,707,560,317,645,579,341,453,106,219,605,151,342,
950,506,637,849,282,569,183,083,554,900,887,381,155,881,938,693,159,377,364,
443,890,116,771,884,780,555,669,979,827,330,688,409,195,760,231,949,558,468,
426,068,276,220,573,345,221,518,999,584,036,751,996,858,143,397,848,252,164,
958,623,190,569,822,009,644,945,133,728,302,454,659,218,010,063,092,897,842,
642,929,812,994,947,300,955,595,956,314,398,616,250,816,201,401,754,544,594,
954,370,594,904,434,909,183,060,283,840,554,842,137,759,738,624,760,700,191,
749,514,160,096,232,149,724,184,985,564,031,836,080,148,284,681,041,163,432,
832,695,980,893,003,918,178,763,715,439,867,654,863,388,538,162,312,597,550,
530,411,435,610,394,140,860,329,803,946,770,222,614,048,049,196,029,359,174,
844,479,742,574,734,553,573,456,464,944,880,053,686,918,141,847,034,019,581,
007,722,921,287,631,173,512,583,043,741,509,702,646,692,011,375,669,696,106,
683,390,441,876,646,570,018,801,713,311,261,352,169,631,115,659,040,164,700,
329,995,948,037,236,659,034,032,201,663,086,230,698,060,447,962,765,397,423,
419,111,335,786,144,214,554,781,648,222,482,799,841,925,725,967,671,248,863,
988,477,167,832,847,100,449,693,510,731,771,391,987,720,909,407,339,423,162,
828,992,916,429,602,594,856,664,916,886,070,645,202,252,269,424,221,679,856,
194,320,672,302,774,720,369,705,160,251,296,025,364,178,762,035,732,931,089,
712,962,621,714,462,619,722,738,979,582,621,902,174,529,278,983,161,332,245,
609,101,673,768,779,960,150,518,099,021,955,745,322,981,604,693,460,138,786,
664,868,876,959,778,550,038,986,476,266,242,550,437,249,069,701,404,229,971,
461,056,928,520,817,386,723,863,292,018,394,347,126,785,311,902,876,566,487,
262,168,251,672,661,539,524,899,234,492,845,056,257,868,195,843,447,414,175,
406,609,999,330,498,450,100,380,126,719,269,572,553,393,282,259,777,746,910,
233,263,671,194,229,190,660,452,287,795,631,213,882,616,859,250,792,162,067,
833,280,904,659,099,778,946,342,559,218,352,385,376,837,131,999,445,469,145,
959,583,999,159,786,393,440,940,572,074,702,434,839,034,502,635,195,193,501,
282,048,139,712,373,896,677,775,255,038,641,364,455,625,718,201,829,323,879,
061,995,900,795,232,685,546,573,234,521,603,540,182,978,408,961,788,259,984,
511,821,482,836,993,480,364,622,342,358,319,153,446,480,179,717,736,406,778,
866,839,071,119,062,432,806,961,580,527,395,232,700,929,174,245,742,119,188,
645,818,284,743,473,688,011,990,631,440,317,224,097,057,110,393,060,219,929,
874,245,668,535,065,124,478,708,953,181,700,716,887,619,489,429,012,032,807,
712,481,839,483,417,283,347,508,916,706,835,675,517,762,451,867,134,781,621,
680,560,508,397,606,049,191,278,163,085,342,011,367,705,607,837,774,972,451,
951,175,260,231,793,596,709,259,385,520,918,349,562,708,835,816,301,990,593,
290,015,638,805,935,083,942,643,098,758,248,653,077,490,722,557,432,026,382,
266,515,891,498,034,177,923,866,454,432,116,602,872,034,410,244,998,228,319,
159,029,783,086,007,089,237,829,583,029,415,035,384,819,535,895,204,360,737,
118,577,027,820,894,822,671,606,804,051,164,503,551,014,281,735,377,594,658,
963,370,083,752,528,291,034,465,587,035,638,601,087,554,832,807,207,897,421,
320,233,638,925,627,437,918,013,710,364,394,266,267,979,840,129,440,075,941,
879,480,282,161,210,338,154,733,524,812,084,271,820,911,159,678,551,580,756,
184,037,485,622,961,868,935,896,757,528,842,861,505,978,717,604,911,261,737,
692,322,601,770,253,317,914,405,786,652,903,400,863,666,489,028,072,805,387,
000,425,896,015,285,019,111,408,501,477,510,197,274,063,436,096,428,389,435,
252,089,731,245,779,180,228,180,473,392,908,780,971,999,690,661,625,277,479,
835,824,742,093,074,004,617,430,262,895,485,350,853,610,978,588,819,057,612,
590,118,017,438,985,193,689,916,456,595,715,079,090,230,394,626,474,614,881,
312,868,614,631,362,059,439,173,855,885,062,666,551,928,619,102,086,920,017,
270,733,821,559,349,038,632,769,430,319,543,392,624,442,450,088,148,571,650,
478,306,485,255,133,304,380,848,770,152,298,119,635,471,033,458,317,634,594,
539,689,270,025,773,398,313,391,486,772,434,812,594,833,585,817,857,029,233,
784,561,776,004,027,208,652,079,998,261,263,386,331,986,295,861,120,787,553,
996,878,897,371,275,929,398,479,561,501,601,602,502,034,135,002,094,351,474,
883,378,258,365,268,884,125,283,948,527,770,338,266,863,745,771,990,985,437,
624,800,950,280,882,273,564,059,242,621,649,044,109,554,954,690,692,852,818,
285,555,515,770,771,166,056,399,329,161,488,734,807,643,918,952,265,372,767,
279,452,868,649,004,845,546,256,710,759,266,840,844,253,695,316,326,434,323,
589,053,398,049,955,849,008,703,245,230,720,618,658,296,370,187,049,729,537,
483,168,729,261,038,181,906,756,331,628,818,104,250,844,088,581,758,000,856,
935,337,617,196,923,776,029,697,988,644,071,964,257,046,198,096,540,537,526,
651,328,831,785,865,171,659,033,416,162,441,459,612,211,170,136,940,871,074,
512,445,653,784,711,542,332,296,361,323,123,174,067,566,242,571,978,422,594,
491,822,533,238,861,014,471,194,800,548,141,953,409,034,559,856,302,656,693,
513,742,884,853,783,840,135,064,485,502,453,101,463,732,119,489,628,006,929,
370,188,132,782,999,018,427,634,002,635,338,465,362,365,343,079,451,651,178,
004,784,776,673,152,900,582,942,331,101,839,248,899,784,815,335,720,389,315,
746,603,933,830,232,874,577,478,724,066,881,630,365,465,588,367,147,363,755,
544,087,381,255,813,534,004,570,338,122,855,366,655,810,688,840,758,608,633,
648,984,433,652,170,607,688,286,851,808,508,836,900,480,869,320,677,994,096,
495,212,980,861,020,139,540,992,235,228,685,340,003,686,532,132,875,501,034,
544,087,903,810,707,585,722,257,876,289,728,588,827,144,983,216,796,838,367,
730,789,715,171,614,771,299,331,558,131,715,295,037,741,822,831,258,323,204,
106,297,547,074,252,343,400,054,544,271,840,300,988,498,892,462,545,533,735,
725,575,038,202,129,241,863,071,950,873,869,650,493,389,746,597,856,013,740,
444,082,773,865,478,633,539,042,752,840,832,387,768,100,307,825,415,554,896,
341,257,960,121,498,377,551,656,017,758,533,439,490,036,015,931,571,541,247,
341,228,359,784,323,164,714,893,355,529,403,438,190,841,515,144,918,391,870,
907,102,804,789,379,175,240,966,303,847,976,529,739,313,051,389,350,508,195,
639,530,685,389,801,645,501,839,129,811,141,875,672,424,373,776,149,911,713,
672,118,110,514,210,162,723,709,910,066,468,564,588,278,629,329,163,265,584,
118,960,938,918,521,565,787,277,834,435,633,986,248,381,893,440,725,404,175,
785,964,496,992,184,537,872,714,442,690,695,815,464,854,634,699,718,679,634,
313,659,522,837,455,078,511,912,502,773,889,813,982,131,278,426,899,926,865,
480,425,057,325,483,443,475,222,545,465,410,935,574,159,820,906,571,619,570,
948,979,431,555,935,029,789,203,362,866,971,229,566,045,001,979,603,721,498,
459,660,756,704,206,888,948,370,980,138,912,480,044,961,218,250,367,310,384,
006,713,360,003,623,192,968,356,352,948,016,261,892,581,501,726,026,821,910,
378,530,695,929,226,796,829,108,820,727,283,159,024,404,180,903,159,138,472,
332,864,261,704,459,507,386,600,083,543,042,746,321,765,569,289,738,545,987,
110,533,008,431,122,455,420,399,118,819,526,647,337,235,800,871,038,750,887,
693,743,824,395,199,920,331,992,058,238,599,549,786,603,780,352,736,723,668,
552,280,603,066,092,199,123,712,565,959,807,570,644,780,415,370,914,187,716,
226,510,924,789,550,561,352,704,515,796,101,453,832,942,662,350,688,268,942,
004,746,710,115,052,581,138,362,514,452,623,234,177,384,774,570,626,112,890,
113,205,560,438,507,315,533,635,608,872,628,300,994,074,500,643,174,118,533,
209,917,079,535,853,803,210,838,403,711,500,229,372,133,060,144,513,415,332,
965,979,817,311,881,237,256,986,359,344,178,562,195,942,420,055,096,205,546,
699,127,857,825,072,984,962,781,022,744,894,750,277,695,672,719,740,489,652,
713,244,034,351,747,211,687,303,702,806,538,539,821,790,094,598,034,417,835,
791,420,537,345,355,183,407,162,598,074,960,368,976,413,778,457,280,998,839,
756,981,949,713,336,978,797,181,275,468,964,781,113,399,082,893,684,177,251,
213,640,090,317,179,860,693,150,528,461,911,097,049,621,579,461,355,569,153,
973,872,823,441,383,938,411,434,342,512,725,482,288,773,248,363,193,569,314,
984,512,573,220,993,712,514,526,920,227,543,923,561,632,602,572,305,327,290,
008,468,658,912,546,598,023,357,491,732,126,071,475,823,236,621,213,915,017,
620,830,094,718,223,296,580,580,783,429,197,937,145,178,216,344,899,222,668,
364,900,803,961,872,014,404,365,356,311,812,651,583,632,669,853,358,301,002,
369,071,450,885,096,613,002,155,023,306,011,059,519,773,630,510,063,731,393,
590,566,140,508,630,125,938,585,179,264,064,433,405,574,055,274,877,396,417,
380,284,223,298,787,576,918,560,272,358,428,439,473,131,192,198,463,835,128,
466,389,642,176,155,235,276,041,480,000,923,048,190,755,485,520,465,065,666,
144,225,423,259,226,710,758,441,197,454,839,955,531,914,267,170,091,406,590,
504,752,871,083,800,320,093,925,596,953,290,376,266,459,855,302,771,606,282,
806,976,045,634,360,226,273,299,339,519,946,429,772,241,805,134,860,790,316,
962,729,626,196,444,857,546,318,695,262,218,573,531,498,136,440,814,533,780,
382,512,833,450,037,631,440,289,004,263,939,776,376,186,246,831,134,518,467,
169,844,246,270,529,685,516,978,210,403,565,466,731,307,535,335,718,908,208,
449,765,964,040,407,594,675,846,906,101,067,275,548,128,987,358,818,388,585,
792,806,475,189,150,623,289,453,298,019,344,142,782,923,440,497,693,169,767,
807,917,425,163,817,610,067,616,390,616,513,644,282,959,536,661,392,510,222,
703,439,325,558,160,700,155,457,568,718,047,156,427,290,456,794,102,859,487,
210,056,507,605,700,485,128,394,575,899,141,418,757,603,790,737,543,984,331,
512,065,924,079,367,269,787,076,103,889,269,407,249,253,523,736,639,882,026,
683,031,459,079,717,355,614,385,649,880,697,157,702,787,320,825,094,302,888,
744,729,900,830,286,497,772,788,917,095,795,849,295,996,219,614,262,429,241,
314,347,030,476,466,716,783,404,877,727,986,163,407,678,767,735,693,376,989,
287,891,032,843,609,051,252,292,431,746,916,622,847,241,125,824,501,560,997,
844,237,867,643,984,843,663,936,124,541,507,287,145,457,907,439,884,467,554,
374,961,818,083,225,727,880,758,504,517,487,172,649,911,578,181,325,991,853,
755,226,490,860,937,262,045,226,717,377,543,382,646,100,001,507,639,027,960,
998,122,546,560,478,602,741,217,135,176,543,104,646,253,983,033,047,269,025,
101,386,464,463,484,139,989,743,821,410,309,107,502,648,758,474,317,396,874,
092,838,092,910,450,443,368,810,472,331,530,511,289,994,670,341,225,024,272,
785,646,910,184,407,148,032,380,580,101,954,588,841,696,792,069,996,961,731,
639,890,056,322,691,973,385,149,380,857,019,210,356,436,815,037,150,036,858,
990,886,792,937,967,661,087,577,437,080,859,390,668,472,197,915,989,751,415,
866,668,253,726,181,575,847,259,880,866,302,310,212,525,997,684,466,455,702,
671,642,823,491,138,693,837,281,943,785,047,711,648,572,311,595,399,435,538,
686,407,620,722,798,405,904,148,807,148,887,869,941,383,288,572,809,430,076,
725,739,176,859,097,036,816,162,500,253,584,615,019,118,221,616,069,758,885,
755,990,696,394,385,310,522,938,136,231,097,237,077,847,058,385,395,612,076,
639,361,943,091,367,927,561,209,045,053,884,624,940,577,899,084,192,427,655,
143,286,920,526,571,339,291,325,624,496,846,339,701,650,860,162,652,664,387,
751,496,367,774,478,687,723,753,022,662,474,109,014,565,116,300,182,468,328,
674,662,482,026,662,364,070,236,045,550,848,528,962,834,627,459,894,756,733,
913,531,686,820,103,940,482,503,367,246,498,725,724,258,751,434,443,183,305,
128,657,297,338,488,292,367,212,547,382,460,248,871,693,531,240,192,252,754,
727,505,902,208,137,640,811,961,637,581,767,216,582,312,542,671,549,084,231,
994,468,396,645,134,268,591,783,194,575,569,309,062,602,551,531,646,277,658,
537,058,567,156,011,241,865,725,467,600,116,724,818,782,094,189,752,064,376,
618,890,361,654,137,975,908,741,237,835,931,098,758,389,785,861,695,125,286,
058,091,676,654,271,291,731,941,969,748,969,553,740,185,926,431,877,626,200,
898,258,215,904,179,443,923,652,346,441,809,877,139,508,785,901,710,175,791,
987,079,834,885,324,596,180,143,415,211,258,720,984,984,251,206,275,611,733,
367,077,708,854,323,143,906,732,872,917,872,036,243,804,700,826,860,985,830,
536,064,188,783,856,421,779,038,190,487,839,135,298,203,793,425,635,867,629,
327,343,924,445,210,823,483,045,642,549,789,762,833,489,346,772,149,641,292,
605,360,203,792,088,006,275,986,192,538,264,551,683,491,401,191,823,220,618,
482,656,012,098,071,062,908,405,496,323,419,614,515,827,811,657,640,490,890,
701,013,248,985,216,097,247,805,952,882,510,923,634,909,841,824,355,912,784,
907,871,802,781,108,663,297,190,928,313,241,688,013,398,598,743,256,834,588,
472,399,687,370,833,886,021,580,102,938,475,916,821,649,792,013,931,427,190,
660,443,355,423,857,866,209,290,832,163,303,507,456,273,339,808,043,484,613,
937,347,131,659,123,708,692,118,794,003,981,775,811,317,514,860,404,883,944,
723,244,294,637,609,047,205,892,446,322,826,128,559,374,741,774,386,134,482,
243,723,501,907,078,062,106,525,689,483,029,279,486,943,794,640,899,984,877,
828,969,640,133,863,645,680,495,171,673,689,173,900,837,618,663,708,232,823,
400,825,636,971,544,260,019,369,145,336,241,912,743,443,370,333,938,392,822,
991,326,684,907,263,243,324,422,816,873,650,393,990,932,154,696,271,824,736,
983,447,425,983,519,471,978,514,299,986,065,478,351,957,695,305,637,400,790,
842,521,239,980,160,959,651,947,142,449,785,896,324,838,194,583,514,931,052,
898,135,678,544,726,050,451,520,405,098,543,525,177,896,842,789,743,346,349,
723,506,098,527,797,823,425,192,433,907,238,022,145,976,945,802,402,465,718,
164,678,419,022,017,322,352,571,736,059,421,445,209,621,366,431,127,740,776,
610,286,445,992,288,596,575,756,424,720,352,158,062,472,065,292,439,532,118,
770,883,808,945,892,856,844,877,749,647,751,468,436,278,932,753,429,163,871,
941,076,235,953,347,157,472,797,005,742,888,375,941,934,051,117,689,357,116,
624,094,616,822,461,907,810,827,366,956,513,473,270,759,959,037,517,444,152,
723,521,570,985,014,807,948,943,445,901,145,096,268,107,869,197,209,852,888,
513,026,893,751,013,711,923,160,617,818,089,966,148,903,687,311,953,233,511,
874,972,543,769,109,878,751,472,227,923,200,376,856,299,559,260,246,653,523,
708,120,283,422,196,877,564,002,047,115,684,021,095,088,110,234,386,088,072,
211,270,753,191,641,793,223,577,322,956,473,596,246,273,322,634,646,523,896,
198,240,559,702,136,708,631,318,283,391,695,992,382,460,618,558,797,928,029,
000,416,514,715,884,980,888,458,705,490,069,930,362,670,089,674,366,196,088,
786,728,520,126,943,823,036,166,787,969,145,044,329,122,973,463,699,789,384,
347,706,212,794,121,012,493,666,831,336,216,255,191,106,913,535,126,137,075,
639,392,500,190,219,752,058,704,961,562,437,264,036,870,738,746,489,540,810,
819,753,923,980,417,807,077,908,957,451,600,169,151,744,898,094,030,492,280,
165,161,733,649,424,723,529,776,375,282,991,789,565,647,667,696,567,776,270,
071,579,342,220,264,217,187,092,017,100,746,658,710,843,454,408,484,821,455,
941,186,255,916,376,273,157,154,110,827,444,642,183,144,426,751,966,230,384,
330,878,499,026,706,335,161,925,746,918,616,546,186,387,766,773,911,246,577,
595,119,465,306,307,313,981,897,788,034,757,114,521,647,334,597,871,041,425,
886,783,083,829,346,441,698,408,160,810,637,266,795,098,535,893,975,835,553,
460,647,768,046,365,895,383,075,137,851,966,330,713,658,942,208,790,017,807,
862,908,610,071,225,483,101,367,814,464,044,019,184,205,491,366,147,001,328,
492,185,962,933,326,444,288,562,943,545,675,828,000,421,240,850,894,043,612,
935,413,744,754,581,062,212,382,335,720,541,586,053,403,427,107,829,959,965,
794,918,371,889,273,350,133,137,298,697,383,348,089,120,970,496,351,091,340,
460,796,089,108,398,538,836,734,746,440,818,933,424,252,590,531,786,175,263,
717,920,625,222,107,642,869,304,348,579,290,513,822,347,879,032,086,477,456,
693,111,198,735,613,248,678,657,348,223,681,110,078,263,701,632,044,719,016,
774,796,046,597,155,709,795,413,474,378,513,427,516,877,496,767,367,660,734,
583,590,933,354,503,343,826,545,691,665,388,063,012,985,644,167,426,285,543,
984,374,614,928,052,864,522,578,807,491,808,738,424,308,551,966,289,735,347,
579,776,522,992,906,578,806,583,733,051,832,551,971,048,328,153,653,095,651,
144,636,826,483,184,792,438,071,321,532,273,801,935,969,922,018,754,508,913,
554,272,227,201,642,568,027,815,461,350,673,788,847,864,598,523,152,554,234,
743,443,245,974,052,504,415,620,953,225,084,946,530,210,069,484,670,863,779,
676,779,174,113,077,213,126,575,569,286,141,401,812,829,908,990,492,004,045,
676,736,681,315,082,011,772,572,379,212,725,971,416,258,749,588,884,249,422,
449,627,064,294,034,755,246,334,750,283,286,186,139,644,875,712,704,886,936,
447,737,952,844,555,583,478,413,611,517,790,121,170,350,545,346,616,088,076,
593,258,340,642,674,168,477,070,864,127,275,394,336,013,301,942,996,170,218,
254,879,956,701,857,520,160,524,386,102,404,630,641,667,658,789,367,127,831,
060,532,463,482,364,719,578,043,368,856,393,944,662,207,899,535,664,708,384,
646,891,163,574,831,348,884,850,068,270,137,758,332,187,499,890,256,642,637,
271,406,230,070,068,149,665,446,800,883,411,830,951,689,734,463,851,781,460,
606,130,046,923,304,726,886,967,027,845,748,655,819,269,696,327,132,451,589,
144,191,092,100,527,921,128,916,005,452,887,601,755,815,916,345,006,903,215,
986,916,060,462,026,845,563,431,044,046,166,732,324,925,580,950,198,545,822,
995,864,550,592,947,738,877,455,239,189,286,713,587,066,634,263,554,234,807,
798,193,439,035,899,273,767,507,696,056,606,811,135,589,769,322,277,957,307,
373,306,648,231,043,726,501,952,247,772,857,070,692,247,078,931,555,145,370,
752,354,621,911,337,903,510,562,705,499,869,884,926,117,555,148,793,930,936,
995,202,718,205,749,400,298,078,044,398,143,119,414,418,872,591,583,058,134,
481,296,816,777,352,765,303,635,363,575,089,634,599,548,273,659,984,943,146,
020,012,720,562,296,938,038,021,888,732,236,618,300,858,634,095,665,099,480,
299,048,358,889,601,344,974,520,902,636,845,552,656,501,272,776,924,642,363,
149,070,416,429,262,088,321,769,468,441,371,084,123,269,216,924,295,511,913,
957,959,394,679,422,962,456,863,131,632,048,905,200,800,926,325,622,405,719,
759,004,348,707,402,718,212,174,651,872,879,025,027,394,713,268,360,489,064,
607,519,243,943,706,651,654,599,081,930,575,209,472,934,625,459,536,437,041,
766,550,820,070,916,342,582,529,956,848,637,131,045,183,339,833,094,115,574,
394,534,585,132,292,417,599,874,369,388,249,441,191,280,069,647,017,022,949,
877,570,299,570,604,860,298,552,877,364,388,149,133,669,916,941,284,490,033,
475,338,609,163,078,624,777,972,630,463,712,857,166,591,068,041,302,283,270,
513,001,912,547,434,466,925,627,596,497,334,518,924,370,079,809,866,235,091,
434,303,583,940,390,794,650,697,892,122,542,749,570,835,933,705,420,187,126,
260,966,213,515,074,524,121,639,336,410,819,692,128,902,371,432,545,626,626,
801,710,603,679,881,486,264,503,128,525,065,186,283,124,889,680,589,935,341,
384,500,550,958,169,951,728,269,010,743,766,426,094,105,320,416,977,407,876,
777,290,497,979,940,934,346,120,282,841,734,729,473,045,408,874,595,353,620,
489,561,921,141,151,864,710,352,752,964,417,073,382,138,582,337,958,882,169,
577,284,450,358,394,565,997,678,576,896,015,577,331,168,864,753,362,958,002,
194,582,282,530,953,019,555,381,544,384,228,738,184,488,347,147,528,258,299,
891,126,101,913,218,989,816,770,358,361,197,826,314,316,101,274,762,095,385,
001,828,510,900,114,551,626,596,032,976,686,109,410,760,703,787,108,777,655,
606,220,899,749,834,436,135,002,349,794,121,636,936,691,685,358,250,135,010,
803,807,082,387,148,545,359,447,492,012,187,772,697,133,082,172,262,968,079,
123,559,646,721,563,574,055,962,222,877,369,116,032,088,061,194,046,383,925,
826,976,757,692,989,098,870,591,784,640,126,871,803,896,136,801,305,725,660,
508,628,939,911,846,918,130,877,815,202,178,277,603,122,292,038,712,066,905,
720,369,593,395,213,440,267,642,711,669,335,349,548,291,567,568,745,681,069,
654,176,199,831,603,342,027,828,602,999,400,726,185,867,523,566,889,823,454,
336,439,872,317,741,065,007,146,850,679,331,554,547,220,144,647,237,083,021,
993,257,136,564,803,178,971,396,575,006,819,212,342,978,172,214,044,403,253,
861,665,213,900,846,030,401,352,566,692,998,643,720,682,039,043,934,827,441,
315,874,685,531,905,441,394,534,032,086,399,418,783,458,727,000,766,028,661,
948,787,439,244,840,729,623,766,320,212,610,256,867,568,065,204,783,305,475,
292,527,401,867,495,275,085,999,373,783,463,515,943,148,045,267,174,884,139,
215,032,211,356,155,148,343,656,850,965,505,882,912,494,297,833,707,585,164,
699,950,394,842,378,770,639,454,068,595,823,792,774,650,677,118,903,250,864,
395,494,734,447,876,507,458,967,168,307,015,113,713,002,549,130,267,399,815,
834,449,342,654,995,073,159,055,738,909,748,934,283,630,054,862,078,422,436,
786,680,604,871,465,174,007,945,204,166,276,963,967,442,575,694,816,920,706,
447,977,762,622,100,908,616,919,015,109,204,010,583,232,552,428,229,485,617,
676,141,776,066,049,099,805,412,226,187,559,721,182,745,710,370,204,937,520,
861,095,284,152,003,675,556,547,339,971,614,634,105,109,855,669,405,352,333,
103,958,456,359,680,904,894,157,439,046,021,160,155,577,763,106,577,116,570,
081,213,930,009,407,873,467,912,480,610,117,937,886,572,845,663,220,157,530,
385,719,029,325,877,786,351,971,458,711,265,917,198,515,615,423,156,470,550,
154,117,826,603,939,145,965,688,398,982,555,508,665,209,648,092,025,480,879,
310,255,937,927,702,585,296,687,123,357,049,596,177,861,837,366,516,344,912,
966,723,369,968,376,522,996,009,582,666,228,774,186,292,011,683,085,773,647,
070,786,574,042,708,678,732,251,350,259,210,582,171,923,223,984,902,869,336,
218,166,734,448,359,100,143,750,158,586,310,020,754,219,336,430,962,893,273,
308,017,650,111,819,358,333,597,994,774,705,642,583,040,610,859,832,573,897,
403,893,711,872,126,030,721,095,381,431,754,291,328,066,207,066,378,265,585,
818,615,865,970,182,268,218,946,115,232,932,163,600,796,909,390,408,369,266,
719,976,352,244,676,336,460,799,953,960,769,918,111,965,933,757,777,375,123,
704,829,281,292,887,248,221,768,788,383,349,270,383,243,781,768,828,718,581,
699,625,474,349,523,827,501,960,295,084,528,364,165,521,275,481,629,653,372,
789,616,579,976,726,746,513,306,204,846,357,078,099,337,328,042,923,994,656,
430,239,350,505,853,849,341,517,467,648,347,372,646,734,586,546,410,543,100,
272,948,451,435,278,673,423,490,529,833,327,011,846,968,567,006,729,888,805,
852,652,946,797,654,487,227,015,826,389,394,040,658,223,274,574,067,580,882,
067,616,777,468,877,995,889,916,493,379,427,406,004,073,890,882,258,469,944,
643,474,549,065,288,131,332,979,791,290,528,352,410,427,848,063,745,042,865,
126,277,647,218,214,421,534,915,472,274,601,704,282,407,415,382,560,870,300,
076,399,327,224,644,538,263,386,527,926,805,742,768,478,733,659,783,925,133,
636,281,337,666,303,713,005,189,454,723,951,438,636,829,358,353,436,597,316,
194,627,502,914,482,151,865,529,972,496,586,192,882,048,570,914,414,957,009,
688,315,896,432,520,583,598,683,956,674,072,356,159,465,092,472,358,365,021,
070,352,845,741,656,289,284,222,874,319,484,965,223,822,598,335,084,797,329,
614,380,025,580,782,592,112,467,560,749,009,718,337,906,899,680,636,049,994,
288,013,226,393,776,303,214,763,935,411,328,343,665,303,345,112,449,195,871,
203,368,065,299,658,756,881,401,328,012,067,770,125,595,050,219,190,916,519,
828,928,054,021,760,685,827,990,567,815,487,458,489,965,572,843,223,853,504,
999,376,365,880,327,615,877,387,970,810,276,012,385,384,430,478,287,741,602,
213,540,027,885,317,928,922,232,585,359,472,618,859,834,248,191,669,971,239,
319,226,978,526,517,778,325,914,902,989,173,337,877,609,107,261,888,961,175,
513,859,734,006,961,874,755,630,941,724,093,372,560,312,772,765,185,679,292,
567,066,131,192,075,733,167,514,455,247,039,753,688,674,977,483,156,838,514,
909,017,091,757,306,366,937,073,212,441,190,582,319,508,684,596,555,688,686,
391,874,637,639,368,962,236,918,481,135,622,887,201,571,018,858,672,907,748,
003,103,037,891,235,711,437,759,915,387,867,265,819,187,806,683,353,741,126,
415,281,326,998,142,154,327,077,793,916,834,773,646,498,421,548,440,485,753,
148,300,428,437,520,577,775,073,447,698,695,326,394,106,373,611,405,359,451,
784,595,076,529,485,160,394,325,061,862,835,141,855,289,866,764,791,190,255,
681,727,815,542,126,208,445,763,541,679,873,617,762,398,279,654,131,687,492,
351,894,572,594,442,252,303,477,484,085,971,708,088,559,732,543,279,299,140,
783,744,720,559,084,625,736,579,887,613,082,000,774,480,452,565,787,882,419,
234,806,324,288,118,126,273,863,016,495,997,246,977,699,204,410,950,426,823,
860,148,119,896,582,190,056,924,443,909,544,786,305,885,341,527,340,919,725,
859,819,050,292,271,296,592,824,991,137,138,647,057,852,057,441,422,307,710,
323,240,046,713,848,492,396,771,541,317,079,948,272,058,001,804,466,576,482,
893,267,427,570,710,694,750,633,506,106,706,152,517,764,964,005,620,516,437,
230,938,638,261,273,641,192,266,161,517,790,318,648,170,159,094,090,389,108,
805,297,319,393,202,050,314,137,536,527,537,672,637,103,425,118,232,658,466,
159,038,372,260,049,805,328,390,464,221,361,755,461,450,453,661,295,757,880,
724,156,355,704,823,217,087,240,555,145,676,277,995,508,012,497,141,765,449,
895,825,162,076,953,616,116,041,362,803,643,412,176,716,674,440,073,220,340,
555,313,682,651,083,587,469,018,789,711,891,173,849,239,131,677,358,729,377,
517,099,060,609,027,063,867,002,301,705,364,123,173,062,855,628,897,492,675,
187,303,044,093,989,753,395,934,722,918,322,942,028,452,431,166,315,095,396,
797,729,842,202,775,597,505,549,146,452,820,556,804,273,493,105,202,819,767,
187,470,796,105,450,857,033,032,301,035,030,811,918,385,169,266,396,779,386,
723,987,593,864,848,101,893,362,189,820,578,357,970,304,549,738,811,587,182,
380,023,659,388,279,754,721,595,282,834,005,502,714,236,597,720,316,090,621,
310,179,379,257,969,756,097,785,662,353,853,866,200,892,087,261,824,990,039,
035,580,840,819,563,901,647,297,505,944,933,160,407,177,692,499,283,982,471,
475,364,511,418,471,621,937,173,893,031,986,244,654,393,603,806,544,649,861,
865,748,335,844,020,002,222,113,227,239,331,598,162,022,786,572,831,533,354,
591,834,930,956,791,087,905,874,799,523,219,077,015,399,882,351,033,844,913,
291,613,759,852,473,743,791,728,721,244,734,983,538,918,641,221,210,579,285,
731,868,303,326,577,408,021,596,668,953,545,788,606,782,421,596,419,547,869,
417,332,672,560,102,329,079,522,055,310,869,996,258,092,641,233,195,105,727,
928,781,788,903,799,296,980,019,422,995,139,052,301,223,984,697,270,699,554,
473,575,041,812,976,734,593,572,132,172,795,634,724,180,191,001,370,033,449,
898,177,585,407,594,265,198,475,098,077,611,032,563,837,936,940,680,067,949,
377,302,510,364,540,433,122,110,078,668,799,851,087,906,207,617,776,219,106,
839,241,660,891,624,711,446,505,688,169,721,170,373,678,368,608,626,485,658,
182,765,413,281,282,109,718,638,602,755,839,990,626,153,029,648,903,713,591,
124,194,806,003,385,319,200,718,750,349,982,511,779,200,344,013,913,104,077,
317,195,226,184,455,278,234,953,888,275,657,121,256,688,530,872,457,220,738,
549,436,388,646,569,482,903,591,797,073,108,382,239,631,309,877,366,015,301,
582,920,495,372,219,259,615,320,594,074,716,145,979,493,671,740,175,167,505,
913,200,666,969,023,068,966,207,100,703,147,890,283,903,069,297,132,701,361,
539,637,966,793,964,253,085,910,887,824,481,676,289,964,016,305,988,082,329,
829,920,031,161,712,178,916,881,739,000,136,511,650,689,568,763,820,678,568,
225,004,315,148,499,717,652,765,048,919,549,598,090,004,850,175,225,969,477,
728,623,692,175,999,264,212,370,054,858,477,838,194,676,714,342,119,247,520,
481,205,487,515,784,841,209,745,413,589,944,651,576,780,302,190,518,059,238,
224,089,388,261,331,507,971,907,909,350,113,864,514,468,167,579,757,699,156,
058,602,554,129,782,579,067,641,157,357,220,053,879,509,936,713,318,272,459,
212,170,269,029,019,494,125,501,772,018,341,926,370,991,149,429,812,939,626,
350,957,089,933,466,808,607,920,062,971,388,055,515,512,672,361,167,700,050,
164,448,614,209,115,973,387,513,213,363,134,608,601,685,892,820,470,358,229,
015,611,705,788,788,937,464,174,429,417,809,958,418,661,119,557,828,193,723,
518,685,318,126,608,659,294,226,310,572,385,633,038,395,473,853,164,449,497,
200,098,373,786,386,644,426,018,665,838,913,349,204,122,748,062,595,132,085,
947,475,099,761,353,357,616,276,977,329,424,947,633,766,272,784,490,969,559,
799,110,590,492,794,405,508,442,881,238,940,332,375,264,833,883,731,734,060,
964,407,070,988,652,883,507,201,396,636,818,421,048,528,405,603,451,503,938,
743,959,300,770,817,106,016,696,350,811,860,307,128,045,422,725,442,650,938,
604,021,521,817,487,122,023,309,256,025,842,917,978,943,744,537,405,330,696,
760,478,032,980,450,247,492,920,687,036,090,732,002,093,833,236,086,692,096,
455,226,905,620,899,832,937,468,628,484,785,615,489,803,179,016,214,674,230,
446,239,306,678,852,566,649,457,426,121,689,019,431,537,794,550,076,417,180,
019,313,353,054,859,822,254,027,641,920,211,524,504,275,883,073,171,310,699,
797,372,442,641,278,302,452,900,125,464,645,849,257,940,310,311,109,430,602,
364,851,339,965,082,390,021,359,121,020,548,651,457,852,321,809,695,613,246,
197,171,755,599,381,465,745,054,161,613,328,226,986,614,836,762,885,156,416,
320,260,408,195,921,982,353,977,823,031,639,072,957,351,070,832,762,292,961,
520,553,061,938,774,080,267,514,111,881,217,336,299,204,807,002,370,036,790,
190,071,857,202,621,890,533,642,806,335,048,717,027,093,748,854,051,878,165,
478,944,045,084,205,832,124,515,904,442,603,365,496,050,170,849,388,117,793,
968,282,349,205,179,627,589,887,926,527,790,630,833,727,019,837,715,329,195,
810,868,742,651,043,140,094,430,721,281,885,981,370,290,316,949,657,471,084,
018,732,271,308,860,004,542,165,316,983,018,097,532,832,333,696,078,286,542,
616,951,181,066,444,166,987,958,796,798,606,132,195,431,788,872,107,261,271,
107,032,604,116,266,846,889,461,577,785,752,844,905,208,282,961,189,714,448,
466,231,172,071,939,728,751,216,375,986,410,679,263,024,784,173,262,054,468,
431,580,627,323,585,637,807,357,463,514,778,512,566,452,055,334,646,627,353,
691,787,147,658,076,767,269,960,760,313,395,779,256,350,135,407,986,728,581,
941,253,836,024,804,012,726,910,053,311,554,395,823,647,453,453,648,756,815,
924,569,076,538,140,833,996,046,336,699,961,119,691,534,164,115,649,259,622,
378,713,391,618,274,127,503,038,523,654,593,179,708,725,134,543,616,260,783,
920,405,719,015,709,588,317,576,426,011,734,889,355,634,516,261,268,403,181,
176,193,159,508,012,896,231,535,829,336,802,877,334,721,811,319,275,305,053,
355,133,644,009,263,993,440,720,739,715,925,216,591,306,269,071,652,740,475,
365,227,828,610,359,483,762,409,843,862,820,946,223,376,169,498,459,801,335,
624,649,840,872,694,288,128,757,359,211,644,563,210,345,572,108,748,575,432,
150,769,912,968,151,090,094,764,301,512,902,624,825,065,498,747,693,509,143,
201,975,925,732,228,834,008,657,815,441,371,295,145,382,893,676,210,459,023,
125,617,801,011,386,110,515,982,487,556,007,759,352,577,260,264,825,407,363,
814,965,429,574,763,434,527,816,564,000,864,600,826,892,317,861,463,217,677,
953,439,792,648,435,870,415,609,123,044,485,460,065,495,812,595,792,154,301,
926,369,164,366,873,419,943,449,975,646,834,822,747,696,379,114,685,216,245,
619,483,270,845,030,674,915,029,565,474,766,258,370,453,552,947,357,803,275,
934,455,502,916,255,670,362,272,661,155,741,638,003,079,108,953,059,516,336,
472,753,387,308,390,537,094,911,334,200,144,421,825,144,694,504,363,773,927,
388,479,041,810,229,708,834,704,640,479,164,908,278,912,669,237,619,424,690,
240,633,620,627,575,463,829,598,724,483,372,431,773,128,991,451,134,457,213,
574,258,641,868,698,555,659,655,681,468,703,071,117,824,968,633,922,184,162,
962,161,478,357,491,679,612,437,691,863,382,835,688,846,458,657,370,245,307,
784,169,527,460,965,558,698,477,815,601,260,833,516,212,518,544,346,006,194,
004,065,194,304,960,898,769,187,637,638,619,146,175,642,597,143,468,018,157,
104,651,457,397,465,534,404,975,901,205,434,608,463,360,499,077,990,136,985,
595,769,327,938,615,541,147,907,971,679,249,056,202,909,382,806,770,274,139,
539,475,781,076,075,469,104,396,306,195,348,415,081,388,491,743,952,847,769,
695,063,265,241,200,993,516,936,683,968,818,802,443,235,734,550,227,285,534,
902,701,962,122,910,756,542,249,323,647,085,089,902,778,265,904,953,714,194,
310,618,208,157,257,157,041,794,075,343,289,908,408,636,513,201,920,769,719,
756,302,416,818,816,495,913,361,305,080,956,581,541,520,138,509,651,544,870,
337,457,268,363,770,530,784,160,272,480,876,550,744,499,978,848,590,052,598,
245,764,647,662,723,882,820,236,898,364,152,493,904,696,490,080,755,558,154,
802,377,152,624,247,537,463,180,804,452,215,707,512,568,580,210,772,082,511,
346,526,528,227,343,833,352,683,280,622,377,239,332,752,769,996,504,118,974,
494,090,575,588,007,796,927,438,649,703,291,426,971,829,141,886,132,109,751,
757,504,298,737,875,105,449,136,828,322,609,000,107,011,533,303,373,694,418,
289,447,969,655,458,731,710,747,125,021,427,616,940,209,581,103,807,681,185,
583,084,544,451,383,567,846,390,408,625,902,767,324,946,697,117,236,557,796,
903,612,711,036,676,688,446,275,289,740,196,111,522,284,188,791,827,741,257,
750,946,550,008,030,258,902,960,060,056,484,039,334,267,817,909,428,304,500,
002,428,433,910,985,417,068,098,520,499,075,601,764,731,807,594,461,776,259,
243,838,275,189,969,048,593,425,206,342,531,582,184,514,175,484,303,172,362,
478,992,521,723,298,299,220,511,849,960,358,740,785,979,567,583,325,568,011,
893,368,787,187,611,917,398,095,214,920,810,104,442,589,211,767,421,634,831,
634,791,341,762,266,022,621,266,009,613,347,902,615,678,383,214,180,349,923,
191,289,061,318,925,176,925,303,671,095,714,970,079,587,029,788,603,173,984,
250,469,113,322,368,014,267,308,636,705,504,719,953,146,491,391,264,935,624,
987,029,331,741,297,946,268,387,315,807,380,726,075,557,731,854,685,141,086,
358,964,650,328,428,428,001,820,566,062,746,324,803,497,851,813,378,124,020,
892,021,230,247,891,773,012,595,292,413,432,471,358,248,469,334,567,366,591,
596,266,764,408,665,127,786,113,435,100,900,564,628,440,327,614,673,650,254,
812,683,280,200,734,754,427,968,817,493,293,041,771,824,531,762,417,873,499,
498,813,153,198,902,232,736,412,151,075,623,864,646,888,922,161,289,209,777,
419,567,295,736,586,237,669,472,066,222,203,221,810,392,249,776,905,953,780,
831,934,435,918,921,901,771,566,881,557,360,087,403,991,458,611,182,225,255,
922,416,211,235,099,469,162,787,396,308,479,070,674,541,483,066,836,616,236,
807,234,649,133,883,901,732,903,755,994,814,617,374,440,072,509,139,645,955,
647,724,091,436,071,845,957,362,368,968,775,742,371,351,782,333,349,896,418,
156,303,684,484,431,464,238,110,214,701,750,552,610,567,529,424,148,866,091,
452,097,730,969,910,450,444,281,720,323,161,164,945,756,731,904,178,924,511,
231,795,007,933,851,290,495,982,084,787,409,774,101,442,863,615,026,585,953,
745,423,846,279,140,888,673,718,500,819,898,839,467,700,259,579,243,357,218,
168,901,684,050,594,164,960,271,645,495,543,203,224,858,058,470,532,465,268,
460,944,485,730,118,975,535,100,775,114,657,725,050,740,267,606,592,206,758,
196,250,298,104,792,121,493,720,295,220,916,779,885,821,370,098,725,900,930,
826,631,512,149,480,462,224,761,149,815,877,051,306,200,402,473,407,633,790,
040,226,674,658,285,097,571,885,481,642,315,694,743,746,547,499,096,471,379,
212,880,304,498,043,521,517,744,979,072,368,792,658,774,470,469,110,989,171,
174,405,021,128,577,654,155,522,774,902,539,113,326,044,190,360,740,945,762,
403,320,683,994,055,200,703,077,893,067,361,568,683,724,316,095,351,081,435,
828,316,815,662,312,285,556,166,204,255,074,362,073,777,635,048,043,521,233,
222,445,172,492,252,991,622,605,918,786,001,982,006,836,153,755,424,466,450,
464,818,484,318,210,900,692,852,590,836,324,596,684,553,803,379,539,996,373,
465,427,935,272,308,230,918,344,772,080,317,016,012,774,597,131,986,968,040,
586,655,445,023,688,820,553,409,135,779,443,388,551,665,625,806,654,639,174,
887,569,806,348,639,318,315,737,894,691,137,021,580,420,125,699,627,185,072,
569,244,017,220,069,109,728,858,840,434,914,648,163,983,247,876,097,795,631,
755,139,809,104,503,064,581,711,024,868,721,737,636,757,237,338,731,366,993,
116,362,538,762,480,024,525,269,964,755,151,824,545,523,275,153,945,388,743,
660,708,385,344,152,144,772,631,868,273,830,560,652,868,031,403,233,617,485,
776,728,938,633,396,058,269,478,480,971,149,790,801,546,515,328,994,423,895,
313,500,682,897,203,680,243,040,958,199,662,060,781,285,884,666,090,263,948,
002,448,798,934,471,773,307,468,869,473,445,495,865,243,020,790,682,268,172,
934,773,272,827,902,460,891,337,397,552,485,533,774,198,300,365,785,888,947,
549,108,093,176,853,352,457,269,934,708,680,933,537,374,117,094,671,501,238,
904,189,667,698,117,666,625,099,229,736,399,658,001,978,212,885,287,557,931,
169,545,036,622,582,388,390,684,058,233,374,207,817,860,474,228,101,782,635,
222,463,235,894,998,970,870,044,860,050,282,251,779,975,127,112,866,913,255,
194,613,512,995,731,501,580,893,461,190,376,891,152,178,062,502,442,998,085,
299,709,073,305,820,328,132,259,183,977,351,610,529,891,856,303,500,168,058,
808,046,921,180,878,207,414,031,964,484,628,733,014,067,834,836,020,477,661,
318,792,389,428,995,922,370,001,163,644,053,429,350,955,821,655,635,650,308,
473,119,343,348,673,020,843,795,385,300,233,930,880,799,644,809,979,630,973,
135,695,638,443,604,711,068,700,988,189,415,680,959,343,170,349,795,014,667,
693,995,114,341,621,007,340,789,096,421,515,091,967,862,352,190,143,352,773,
051,601,315,776,076,047,676,418,899,145,734,313,275,279,520,082,453,249,199,
200,881,393,878,201,942,332,490,812,043,429,413,188,150,056,638,267,863,000,
949,746,487,100,120,177,594,411,448,118,495,512,375,643,346,194,446,286,692,
986,401,245,617,574,361,252,264,169,794,569,012,487,064,711,003,220,360,492,
782,928,701,213,484,886,389,644,306,185,616,397,432,434,505,688,229,593,348,
661,643,390,689,376,057,766,252,931,267,482,419,129,699,199,864,468,301,487,
385,770,090,258,283,992,355,199,264,846,695,335,009,262,736,194,733,937,037,
562,430,793,055,051,806,238,179,881,013,350,629,731,293,525,349,120,654,076,
777,073,196,883,012,755,713,409,797,510,002,210,678,455,504,448,492,285,098,
153,585,186,878,846,566,452,439,082,133,838,163,835,214,229,340,368,109,147,
444,894,375,960,081,791,554,098,100,906,943,410,591,659,338,725,595,155,247,
962,736,345,914,851,788,873,041,738,722,001,384,236,778,628,125,808,017,727,
054,880,781,779,595,817,214,309,494,866,259,496,941,437,283,912,668,404,218,
817,251,964,093,640,573,963,403,336,585,590,968,492,083,680,734,733,422,893,
934,662,847,311,255,985,944,439,496,008,756,579,719,949,864,600,370,284,287,
251,243,023,069,427,728,592,387,422,276,910,235,888,345,622,609,265,459,116,
377,967,447,422,259,207,438,821,628,613,110,167,932,611,478,362,971,072,118,
420,470,155,636,650,767,838,183,002,779,186,371,001,030,867,456,166,775,100,
504,504,588,097,949,768,724,520,585,541,920,280,721,230,665,366,815,334,137,
995,912,986,592,162,322,277,855,219,956,808,499,533,545,760,067,647,089,903,
426,263,462,171,151,462,723,188,041,638,841,994,511,123,348,579,521,089,598,
878,463,558,505,769,976,338,430,787,590,374,095,258,073,856,995,287,793,433,
754,069,307,463,440,459,027,999,474,972,537,659,655,624,079,002,324,772,569,
638,090,488,184,231,187,810,444,130,146,947,721,345,323,704,189,115,160,212,
683,710,803,759,363,122,588,804,835,444,512,370,824,096,087,832,320,917,643,
565,760,833,186,960,174,504,736,118,260,454,048,815,304,096,505,855,062,385,
740,639,101,914,351,443,526,263,087,378,764,539,434,341,238,542,406,840,332,
580,145,038,957,913,306,209,761,467,409,793,737,290,086,293,918,869,066,848,
094,368,127,696,318,832,860,936,783,254,652,552,118,735,099,158,404,123,591,
759,851,816,678,117,288,558,083,957,733,011,323,724,527,212,193,903,803,244,
579,423,601,796,174,948,401,714,746,802,639,221,428,030,819,871,716,458,978,
518,381,491,378,949,593,033,958,468,052,555,994,711,761,853,813,946,995,649,
862,258,033,824,006,986,849,734,071,926,774,230,660,204,493,035,013,466,126,
602,208,871,716,223,118,537,476,578,205,713,336,766,534,224,962,661,353,361,
463,567,217,056,584,092,382,485,212,726,931,096,847,412,564,261,353,521,229,
736,407,063,296,550,235,550,961,431,331,189,804,973,844,028,714,378,146,064,
904,774,535,935,507,964,569,800,856,985,440,941,780,067,340,097,817,204,509,
539,747,788,560,052,407,201,860,048,767,097,073,841,771,140,843,627,678,150,
824,359,357,363,979,844,397,855,985,255,507,870,577,721,048,433,530,580,584,
756,156,821,372,449,275,634,632,847,491,969,435,536,493,754,293,704,194,933,
984,018,108,607,274,687,148,153,137,962,037,277,212,721,959,869,733,574,039,
747,394,278,912,990,756,077,725,511,944,643,436,152,907,348,464,586,598,050,
621,882,847,722,827,150,525,775,341,278,002,691,472,320,326,041,713,674,266,
193,899,551,973,787,067,499,040,890,330,672,538,896,231,008,614,975,690,778,
019,734,365,987,208,065,558,997,531,977,025,285,804,253,798,661,330,893,352,
042,334,754,459,940,534,919,841,409,918,093,458,022,770,867,015,735,065,464,
366,457,040,600,920,139,741,497,591,362,090,850,595,062,917,113,454,635,736,
965,839,158,352,214,112,247,126,117,966,411,238,707,763,375,139,709,211,177,
637,979,535,442,347,438,671,889,417,865,328,267,914,378,471,714,198,164,455,
157,005,225,104,058,931,304,003,911,426,213,888,243,568,245,226,897,474,769,
841,571,744,234,448,141,968,402,635,015,435,872,031,552,266,573,249,736,742,
541,793,082,730,591,570,033,756,125,761,117,411,215,534,833,948,447,950,102,
686,370,349,286,687,356,101,421,864,096,934,039,304,372,026,706,276,311,694,
296,594,153,515,159,487,916,500,349,111,894,504,219,081,388,469,141,032,732,
414,574,957,949,942,794,950,566,283,936,830,248,238,053,025,291,928,680,494,
856,378,912,920,148,765,530,920,875,184,681,891,183,092,327,382,912,461,952,
375,259,246,581,277,596,124,680,773,958,499,967,365,168,233,209,377,418,637,
870,183,941,247,136,049,937,673,502,847,596,930,406,466,449,607,449,292,788,
919,648,231,668,061,237,871,635,830,278,936,960,294,045,383,978,127,116,736,
120,665,001,362,326,143,686,704,667,039,234,239,405,230,470,473,211,642,295,
907,317,687,303,804,802,059,708,350,569,916,037,389,007,372,519,707,289,994,
932,040,432,605,028,382,659,515,199,519,419,585,426,925,771,763,801,508,555,
918,474,657,329,139,050,689,087,031,583,849,428,099,223,935,836,475,743,932,
231,522,244,130,977,624,944,019,542,894,599,328,894,406,700,409,317,723,535,
032,164,381,461,075,570,907,505,640,906,687,423,060,778,683,237,936,888,016,
862,773,873,110,652,936,595,430,088,862,786,163,674,925,926,163,438,798,813,
966,949,040,392,093,705,213,343,057,864,653,888,715,416,634,265,384,260,069,
030,225,300,448,008,628,758,220,599,272,299,379,231,719,968,830,542,380,780,
683,192,373,580,203,091,974,309,763,771,651,489,725,498,138,048,384,917,976,
325,723,981,008,134,295,084,788,234,378,263,188,729,810,685,202,392,233,212,
895,821,745,703,516,993,139,230,100,933,010,654,758,126,425,658,168,276,651,
378,216,516,519,390,492,668,320,930,520,033,772,602,087,598,006,510,913,238,
374,538,042,685,831,884,767,430,041,323,110,442,540,587,569,666,933,981,411,
595,418,023,508,618,364,633,743,909,103,453,406,358,888,176,992,352,737,905,
616,673,024,511,933,035,761,805,491,450,204,938,270,105,317,041,458,125,599,
978,712,930,841,466,260,326,981,432,706,169,419,807,554,511,894,340,572,771,
520,924,427,843,591,810,181,083,304,596,397,299,765,525,452,528,220,900,093,
964,254,980,774,416,112,294,354,433,385,538,515,991,181,525,432,089,339,003,
185,519,400,702,074,647,661,329,738,296,227,587,323,182,090,414,391,852,939,
605,390,731,579,218,240,924,683,581,766,805,878,955,603,786,105,044,835,075,
547,339,364,789,565,064,849,344,568,536,028,630,338,483,086,753,653,449,035,
618,741,043,806,209,351,311,050,142,218,538,598,330,698,136,394,015,737,248,
894,889,272,706,746,624,731,737,248,036,286,158,038,982,139,023,372,289,725,
600,064,850,663,180,704,236,863,416,394,484,947,286,996,130,524,354,291,809,
705,756,125,966,405,598,180,621,959,512,137,850,653,990,081,298,914,118,074,
388,593,855,444,624,384,238,730,078,386,105,971,093,567,536,079,841,734,480,
606,461,574,288,597,372,390,488,095,820,843,367,062,294,906,584,314,476,747,
496,599,867,819,644,589,494,533,782,857,345,878,541,091,888,163,419,534,277,
514,262,858,036,815,980,466,030,024,827,255,728,569,113,821,386,173,179,041,
511,973,914,083,985,005,918,627,298,529,335,441,219,929,243,263,450,868,457,
518,025,443,132,051,630,875,046,286,722,229,202,782,165,479,173,209,594,901,
107,104,658,641,298,475,093,567,802,356,674,726,284,224,510,719,156,935,578,
884,629,116,553,700,459,545,482,185,096,278,022,849,039,428,717,874,969,346,
186,228,278,857,058,759,715,628,937,992,719,712,114,999,810,025,159,423,177,
544,193,195,449,796,561,302,526,500,395,297,258,432,270,811,505,111,171,074,
394,852,860,124,006,596,121,928,113,582,098,192,806,219,420,167,678,242,912,
649,368,594,751,003,044,560,804,505,678,149,692,317,777,057,465,355,116,455,
685,161,605,944,592,942,889,643,745,086,015,875,410,904,189,815,466,962,184,
748,232,009,103,288,553,137,142,321,411,496,853,360,412,701,283,310,225,491,
013,151,150,508,432,017,661,034,202,268,790,197,658,858,557,969,168,126,841,
784,151,846,159,310,178,264,650,694,578,575,216,933,695,244,600,732,036,447,
389,364,559,508,099,142,247,266,203,640,259,256,919,799,815,189,741,003,183,
389,042,934,277,435,524,237,209,191,446,363,429,916,432,809,579,051,158,011,
179,012,581,302,178,795,151,381,471,811,215,768,353,157,728,677,211,657,043,
747,276,693,209,742,303,142,886,615,958,109,537,896,591,661,509,526,226,913,
821,935,186,810,923,754,915,148,461,770,277,577,669,843,158,088,277,185,662,
551,778,922,138,976,099,745,383,418,992,429,081,133,242,128,675,379,582,440,
770,399,919,395,350,236,056,614,607,012,119,917,570,063,798,460,688,011,119,
379,244,607,004,698,668,473,517,364,500,563,563,853,079,705,232,367,663,262,
198,688,801,741,482,273,972,781,936,959,272,823,025,593,949,690,354,895,042,
769,883,525,716,003,566,600,116,373,787,284,979,911,871,918,905,856,981,623,
591,343,255,398,906,116,242,455,234,998,643,641,696,613,089,813,693,293,891,
109,001,018,109,342,620,533,863,324,505,352,610,679,239,368,008,137,417,801,
009,439,087,107,936,542,576,013,228,397,091,981,582,580,689,875,421,560,561,
743,940,983,261,235,418,603,051,711,461,042,815,983,777,838,215,192,216,501,
011,307,931,837,805,211,918,083,639,212,106,475,235,498,820,723,468,482,544,
734,354,583,915,028,419,038,558,392,724,925,693,618,664,392,075,378,159,209,
652,507,577,034,040,954,713,411,469,030,361,582,057,202,331,735,527,956,282,
304,410,592,425,123,691,292,629,859,343,417,128,517,235,061,967,616,147,774,
122,053,191,833,721,212,747,085,121,485,187,108,983,556,541,460,115,513,798,
640,055,014,836,204,897,691,459,511,777,867,708,589,322,686,977,280,744,195,
373,590,662,705,265,551,237,796,580,916,183,581,714,813,922,316,379,750,639,
048,148,369,086,220,718,074,679,521,096,967,199,338,579,713,167,932,526,707,
875,388,901,277,841,218,991,396,632,619,258,879,239,110,754,437,651,183,822,
563,325,212,622,016,961,498,370,980,566,910,395,187,169,678,096,890,563,921,
643,253,120,388,129,494,736,123,033,246,980,134,832,082,144,970,200,694,598,
103,236,702,497,329,867,197,303,455,071,247,708,988,699,167,611,777,924,271,
906,851,397,747,400,219,338,912,631,760,190,157,725,384,316,591,771,976,089,
664,015,972,743,848,089,597,218,640,382,061,037,499,483,078,597,460,594,216,
434,433,196,249,019,813,654,373,339,396,475,022,477,521,546,398,341,824,206,
173,651,823,240,962,700,701,596,140,364,432,771,058,926,880,340,276,704,656,
285,863,668,227,383,280,422,970,719,967,499,660,190,400,981,106,124,296,435,
030,826,998,488,847,867,323,932,830,988,660,605,934,859,700,064,592,304,144,
387,422,695,613,186,316,061,953,520,080,167,065,166,985,642,778,603,009,591,
418,177,350,557,114,172,384,502,924,286,368,736,436,499,445,241,249,290,562,
484,975,272,215,942,693,162,335,601,578,845,073,631,308,286,827,715,223,960,
024,287,685,124,786,814,339,873,426,485,318,255,604,274,205,660,895,516,178,
557,336,465,357,675,291,864,372,400,042,919,814,773,925,211,425,771,024,470,
400,191,998,680,890,276,605,275,040,955,420,357,448,559,144,815,820,472,513,
070,070,223,231,591,146,247,860,124,864,651,034,926,695,773,694,878,586,219,
106,962,919,585,202,272,766,773,174,987,900,413,731,109,234,197,594,149,924,
679,662,953,764,880,244,939,535,314,249,307,198,663,413,083,842,705,680,325,
417,409,450,125,294,853,555,021,494,562,348,774,866,434,551,049,266,584,526,
953,109,265,510,429,496,757,656,424,817,183,223,085,761,006,099,973,712,844,
501,980,116,221,419,436,854,452,470,805,293,350,774,141,311,073,652,538,118,
734,707,820,627,003,424,408,111,131,603,728,087,440,279,754,612,077,331,431,
472,147,056,107,739,223,269,494,723,478,861,816,511,010,274,852,091,345,054,
763,246,318,102,388,889,121,436,024,959,177,143,734,595,426,124,474,289,617,
906,209,719,981,657,563,799,172,626,506,795,904,170,147,902,057,713,627,957,
034,742,786,510,738,333,656,477,862,883,803,101,447,793,691,599,856,414,588,
574,805,563,256,823,619,038,159,116,199,655,700,135,706,317,217,246,347,452,
013,344,809,435,673,317,557,622,026,326,199,270,676,670,259,898,622,951,153,
271,303,280,630,011,041,490,599,957,189,556,453,816,855,439,170,479,833,929,
478,616,073,788,944,199,501,649,376,959,261,408,617,820,092,054,319,368,531,
870,374,685,124,643,318,018,063,584,396,349,393,581,490,447,961,751,417,289,
107,128,284,672,824,936,053,649,315,212,580,662,608,025,271,745,177,078,793,
239,129,248,556,991,211,158,903,800,034,646,329,786,282,183,271,004,353,863,
500,155,828,020,697,202,402,866,080,247,925,082,809,363,377,229,715,303,857,
072,934,011,512,756,726,818,227,012,275,077,344,789,833,458,645,303,266,719,
567,734,248,367,116,940,406,475,976,114,077,132,678,320,317,044,822,548,870,
031,776,192,034,269,328,356,192,461,717,884,256,938,528,861,365,521,217,033,
721,899,244,948,614,998,854,059,745,137,257,489,083,610,435,822,118,862,407,
062,604,951,068,549,838,115,863,056,500,844,840,168,347,411,716,891,325,069,
381,435,822,915,772,192,100,793,882,503,338,996,867,746,108,060,632,449,150,
217,064,828,973,512,081,674,141,330,830,371,558,988,569,630,371,325,205,759,
508,862,705,223,347,252,874,793,304,595,435,978,233,173,888,527,682,621,270,
553,501,775,892,677,168,172,364,635,115,499,092,446,775,250,293,015,973,935,
320,588,413,686,071,540,725,980,369,623,016,385,322,186,631,418,384,246,683,
091,376,823,600,142,879,656,136,466,940,641,264,011,496,550,985,575,618,151,
162,387,329,223,575,101,410,154,962,501,876,153,484,798,237,261,810,182,698,
963,644,387,319,933,219,014,780,188,335,562,059,038,483,582,156,464,986,032,
061,086,466,800,854,546,390,210,208,840,009,727,503,870,694,165,089,014,491,
228,327,417,276,291,732,282,304,626,156,228,485,273,314,255,321,788,840,337,
638,648,349,695,089,364,410,373,212,090,827,203,713,378,502,839,527,769,811,
438,462,442,879,948,196,081,029,592,081,839,189,700,652,328,700,266,443,629,
335,444,519,401,813,289,536,086,423,338,203,086,224,205,579,660,811,860,685,
320,845,600,079,849,852,393,715,144,542,345,987,695,681,813,697,911,220,189,
759,577,458,688,634,531,927,588,612,229,179,007,430,141,728,093,324,420,779,
948,297,462,119,200,256,396,974,140,702,496,952,498,963,737,152,506,065,058,
890,677,812,436,624,956,343,101,396,981,386,283,367,804,145,014,207,201,782,
171,258,985,901,757,384,505,778,582,231,080,165,539,533,370,672,009,378,680,
379,882,329,529,373,099,126,091,706,787,546,643,846,278,622,938,852,099,175,
852,282,401,408,390,214,546,578,266,799,910,668,001,792,928,604,216,671,092,
796,853,239,639,338,946,861,178,963,383,423,154,253,474,892,685,757,656,001,
916,924,366,657,853,740,135,097,817,163,593,013,991,031,966,041,240,613,398,
867,523,883,626,083,224,795,119,914,617,449,463,256,563,785,140,639,808,656,
380,379,518,464,686,218,292,312,800,492,480,105,037,623,595,960,692,368,127,
816,109,562,953,009,785,168,380,918,820,934,558,025,229,428,985,351,944,249,
651,820,821,676,668,539,264,585,789,160,986,160,386,463,154,988,450,911,688,
079,592,560,210,352,002,742,357,442,289,899,304,013,700,536,485,458,068,760,
727,048,469,446,042,130,378,513,835,774,041,295,797,554,464,654,878,384,151,
837,423,271,129,147,408,608,773,234,884,316,562,866,621,260,913,820,757,358,
526,316,053,759,024,355,981,075,655,572,995,563,656,085,228,224,887,061,935,
778,861,838,171,218,368,418,985,539,056,300,736,460,711,166,278,708,689,705,
190,692,730,792,305,719,120,633,318,425,733,673,805,218,344,185,067,748,466,
131,002,531,021,381,270,242,292,651,555,164,198,423,130,989,189,382,371,928,
115,130,631,322,637,544,225,779,848,619,780,023,798,084,691,004,978,288,685,
136,360,194,287,468,813,316,797,934,079,264,751,676,033,042,979,319,779,305,
274,406,873,947,270,677,081,088,794,753,976,026,893,083,622,698,611,763,602,
247,940,094,650,760,807,409,844,118,966,546,534,502,051,051,244,227,053,505,
357,216,453,818,651,740,088,344,562,853,611,322,577,322,256,737,091,243,519,
725,398,337,350,871,916,956,663,736,722,057,418,730,916,090,518,368,268,611,
634,421,772,543,742,769,656,856,291,740,494,029,613,635,424,397,135,767,420,
632,001,807,324,593,940,954,619,413,440,908,373,960,366,735,937,895,560,843,
781,978,686,968,079,863,669,009,043,563,629,469,798,294,927,263,357,237,085,
920,890,484,087,104,144,541,002,945,904,508,271,999,880,833,570,053,235,705,
398,460,622,909,477,118,670,747,907,922,506,431,621,186,528,467,781,213,394,
543,967,340,368,487,924,503,459,106,386,242,528,448,720,353,817,475,508,879,
828,878,439,439,476,147,106,218,420,124,640,535,203,824,197,832,244,217,735,
389,586,301,685,600,442,942,792,675,325,352,591,015,722,005,509,002,035,348,
568,424,895,331,437,625,861,569,912,822,115,210,920,595,508,995,879,624,524,
895,730,373,052,243,436,642,959,880,141,863,969,223,301,388,961,141,618,591,
128,129,335,814,911,601,434,688,626,160,701,191,258,734,647,638,199,483,882,
818,129,020,698,244,421,429,387,023,159,046,378,557,156,780,969,371,527,355,
378,599,715,959,437,621,482,855,885,285,562,655,087,456,604,881,775,900,310,
398,652,561,023,861,229,371,161,837,151,394,856,879,375,171,184,107,411,775,
372,188,086,071,042,569,071,611,074,340,098,878,064,717,498,358,118,360,197,
074,855,315,750,711,835,507,228,701,559,330,462,328,881,565,968,402,031,325,
102,513,204,426,861,116,268,375,381,837,671,514,668,569,569,213,782,343,212,
999,500,863,618,450,399,661,075,830,894,896,729,566,283,349,048,619,070,306,
529,181,516,431,745,427,054,645,762,355,899,039,608,401,995,215,746,732,271,
408,095,550,422,194,267,465,433,490,754,343,388,756,010,307,143,965,367,627,
309,011,191,531,768,188,017,944,916,866,031,882,402,554,612,967,436,401,385,
620,401,222,799,481,416,946,470,711,242,146,025,326,717,347,356,884,650,990,
123,033,506,617,927,673,292,704,077,462,606,677,757,908,326,127,829,459,620,
717,483,648,019,156,727,031,273,355,404,466,654,151,101,687,844,777,554,933,
392,580,685,241,973,752,482,073,567,980,286,219,745,185,934,333,720,677,668,
624,411,113,403,908,488,716,728,317,748,756,602,455,677,216,728,518,831,232,
473,049,588,973,243,879,893,823,614,071,144,003,595,936,690,308,296,533,166,
313,434,567,066,917,980,508,761,842,791,598,871,789,629,889,327,987,499,268,
572,691,421,776,161,001,392,047,028,950,109,133,274,277,044,847,111,522,122,
663,995,800,808,580,206,482,291,486,390,660,959,108,923,580,030,614,347,435,
509,441,765,321,030,463,066,748,503,511,413,648,438,837,578,571,878,128,038,
510,031,486,662,935,058,217,141,794,898,599,445,010,868,371,979,425,849,289,
299,887,446,866,910,932,740,612,100,952,617,408,755,842,569,291,480,867,554,
394,843,285,606,414,415,629,698,627,462,521,188,068,921,052,572,351,311,974,
303,355,281,065,716,567,463,362,584,008,759,478,593,903,457,505,177,025,215,
447,449,639,518,836,261,675,202,532,707,581,179,315,670,534,266,944,890,857,
064,742,549,306,378,789,353,713,972,337,173,375,490,315,268,043,375,322,538,
742,488,924,637,774,347,977,786,435,948,653,709,869,368,265,921,563,636,938,
862,066,875,485,716,643,867,628,889,830,202,912,146,563,809,709,082,052,832,
700,031,975,773,857,172,644,211,309,607,968,177,264,167,329,225,484,986,700,
247,972,755,990,676,564,857,590,140,245,153,915,954,414,588,747,388,781,348,
258,386,683,353,875,726,009,043,527,188,888,378,836,044,647,792,070,222,506,
011,852,681,690,735,527,097,782,193,228,450,635,709,358,884,267,245,322,914,
132,930,141,051,930,417,950,082,710,760,703,868,506,369,900,354,948,284,957,
148,705,760,958,189,134,733,227,036,018,873,138,129,651,318,238,007,898,608,
457,730,203,669,051,254,650,485,684,428,957,514,831,509,240,745,254,310,141,
057,759,779,749,966,000,043,695,317,889,058,621,303,284,628,374,929,568,080,
101,561,850,112,416,499,454,458,996,065,127,335,511,436,749,373,521,085,195,
105,226,042,928,470,496,565,652,027,037,800,073,487,001,984,417,250,766,424,
501,845,784,349,140,571,063,729,699,999,665,389,658,137,538,504,441,079,524,
535,969,204,071,102,853,086,311,057,576,650,716,888,809,512,348,833,575,471,
342,321,491,234,780,848,642,470,638,945,043,073,809,009,252,395,962,913,355,
582,402,673,007,882,958,945,813,290,823,122,502,659,616,460,970,025,499,999,
139,834,721,875,221,555,359,669,057,108,243,410,596,907,621,047,030,077,801,
457,103,940,476,603,401,730,450,237,140,647,815,841,724,558,697,951,947,656,
917,505,702,803,398,495,582,088,600,920,021,140,554,329,096,205,299,348,754,
566,090,498,667,289,784,266,627,206,279,713,411,800,272,020,419,599,862,336,
637,387,391,653,577,557,691,468,142,613,151,412,538,495,953,169,310,247,887,
962,580,026,332,755,347,322,266,926,186,037,484,293,601,602,670,904,711,407,
648,113,701,538,685,387,890,383,286,395,904,089,141,141,572,770,916,247,797,
175,048,022,968,984,508,189,804,694,388,353,644,179,451,816,778,036,041,120,
319,173,475,241,064,304,492,694,476,149,915,806,198,246,934,206,934,862,710,
886,496,889,426,348,752,792,390,935,777,239,459,341,885,138,094,289,551,806,
312,233,809,335,717,564,396,696,414,006,400,273,107,126,235,253,351,218,746,
273,621,927,238,758,937,986,103,173,916,881,254,486,690,304,686,978,962,706,
805,165,997,648,693,061,147,532,699,906,960,232,701,668,447,257,705,124,941,
132,963,757,171,941,937,194,887,150,420,847,780,442,637,666,186,220,288,639,
817,395,405,715,491,802,740,557,586,341,792,434,826,989,961,454,968,612,012,
337,016,518,017,500,207,125,776,367,130,656,188,732,843,916,415,343,957,572,
088,554,189,123,228,766,322,220,103,170,331,283,748,241,251,614,172,200,682,
608,566,608,433,479,853,405,688,988,476,890,640,740,987,334,774,689,469,966,
858,669,833,112,946,166,977,372,976,312,526,294,990,221,577,944,174,821,838,
577,895,479,763,057,552,852,295,517,079,821,535,054,015,424,033,757,073,047,
985,291,221,458,163,755,256,613,057,687,753,030,584,392,867,378,694,718,149,
119,973,504,926,018,161,222,491,677,586,123,153,237,035,419,125,038,989,248,
842,874,770,662,002,605,884,128,369,042,793,289,457,568,171,080,400,348,163,
966,835,448,569,919,701,468,137,268,432,084,823,104,864,417,691,631,062,626,
731,061,576,451,515,120,151,687,044,353,607,378,110,310,722,930,937,306,706,
705,818,277,157,322,146,906,990,454,269,937,591,495,615,363,848,332,091,333,
026,816,015,633,839,240,776,362,799,125,310,219,832,372,320,095,009,732,617,
655,221,885,686,075,155,009,510,157,617,949,368,161,033,613,410,404,088,956,
450,667,777,412,949,306,586,538,039,427,105,915,522,136,982,547,207,682,848,
794,656,513,256,840,729,208,937,056,992,678,891,925,346,105,324,102,651,044,
354,332,481,485,156,653,983,444,122,418,968,982,158,060,937,921,603,925,375,
980,790,049,637,472,500,428,305,790,408,093,546,883,682,824,974,523,734,947,
583,359,723,075,359,333,698,947,097,446,436,042,658,656,436,104,249,397,540,
338,795,642,638,804,062,224,233,942,491,819,107,255,281,996,274,220,498,373,
008,830,111,047,418,345,395,946,854,697,154,790,640,298,182,568,998,426,001,
627,422,032,709,729,663,501,768,083,267,567,555,241,317,335,382,766,373,476,
703,755,373,517,162,892,038,288,629,537,412,411,368,593,534,330,941,746,772,
200,877,033,203,478,179,860,536,510,175,483,514,911,725,578,693,305,739,960,
751,885,249,407,681,022,856,650,377,582,430,562,933,673,724,095,842,013,131,
888,805,673,440,740,336,447,842,918,502,252,345,182,034,998,750,880,908,660,
943,223,770,302,429,414,388,122,820,522,726,556,783,011,571,719,725,345,253,
321,534,475,006,226,533,074,164,048,169,351,528,749,197,317,348,171,757,187,
924,949,845,624,526,686,568,448,467,288,156,167,687,993,495,999,623,955,658,
279,579,757,409,446,273,558,262,919,168,502,541,002,287,772,135,178,832,783,
091,590,746,520,518,499,725,280,548,016,228,042,207,382,409,668,933,592,631,
015,717,371,142,106,577,215,607,134,150,233,644,565,849,046,946,328,668,123,
523,289,946,840,789,382,940,683,127,725,502,244,196,300,295,792,001,085,041,
475,905,791,252,076,161,742,084,270,798,509,660,733,217,164,610,040,021,470,
647,737,936,937,765,026,741,467,131,196,532,203,713,141,363,202,820,294,133,
830,158,408,619,778,588,878,032,672,868,986,968,967,148,549,523,326,359,670,
474,485,670,292,936,901,082,824,171,378,684,702,316,268,313,109,435,634,186,
600,962,397,362,174,052,118,816,545,734,435,463,992,317,825,064,355,711,817,
536,801,668,939,649,444,368,730,090,457,422,662,522,021,060,082,316,558,008,
419,768,289,511,024,224,241,670,299,990,605,635,859,991,282,682,482,214,038,
142,562,100,027,372,690,023,946,582,382,822,123,549,081,709,070,389,779,296,
923,649,389,507,860,413,843,854,716,310,760,041,137,819,501,093,851,737,703,
633,695,181,646,393,606,090,092,011,311,039,779,757,386,579,043,954,290,736,
351,631,868,690,553,307,563,008,773,168,471,724,975,650,082,236,539,400,340,
198,512,975,290,956,577,080,401,705,145,360,261,419,478,134,739,129,383,013,
385,293,093,326,584,634,151,317,225,159,293,538,440,161,296,324,773,486,863,
134,935,352,900,026,473,458,929,969,375,262,296,046,159,232,227,962,893,012,
305,074,642,765,634,617,437,906,760,428,169,239,475,297,566,698,407,618,809,
642,822,987,827,067,642,309,240,947,384,892,684,345,639,211,986,072,177,226,
149,661,803,579,198,257,782,943,980,563,065,349,076,647,308,453,443,357,186,
030,596,231,474,703,847,525,257,551,196,275,815,402,161,791,443,117,038,518,
887,096,592,918,650,644,026,132,068,092,634,524,900,650,134,250,309,290,064,
898,304,608,393,787,855,895,739,561,806,796,402,770,182,969,568,956,517,326,
464,202,041,664,209,141,093,743,260,382,243,386,849,818,021,146,596,738,304,
932,708,610,339,831,644,508,023,884,281,014,376,560,634,439,572,506,658,606,
991,996,925,639,949,167,781,294,658,288,826,501,304,016,669,514,405,051,588,
130,798,884,798,502,880,639,816,522,319,745,125,853,520,450,467,879,306,760,
454,236,506,052,711,278,536,503,452,202,552,103,704,196,699,928,027,321,889,
153,562,089,156,995,390,421,962,289,660,434,222,588,126,925,928,041,458,110,
240,517,121,413,637,218,249,554,588,202,029,287,478,968,928,964,838,090,657,
218,446,624,132,277,764,203,163,241,830,016,940,133,266,377,307,101,181,638,
710,291,977,647,594,867,750,629,294,245,312,913,239,152,186,050,078,892,952,
440,730,646,454,575,328,214,042,700,299,959,611,775,352,192,411,552,469,489,
435,676,886,221,327,645,727,643,523,632,886,493,084,353,063,645,063,940,187,
323,453,848,481,573,040,994,500,275,278,613,931,703,853,214,037,205,172,549,
981,037,955,043,977,484,710,386,429,143,801,086,781,892,202,890,389,682,327,
574,085,836,256,369,043,775,123,757,046,874,666,909,480,258,993,283,126,470,
698,922,989,017,693,006,741,994,831,127,796,936,649,342,222,092,640,196,498,
642,616,659,124,379,140,875,019,558,489,471,639,418,914,451,351,379,392,043,
066,797,174,644,499,947,382,496,034,998,693,069,913,713,143,281,973,054,500,
976,114,150,486,150,203,353,927,758,846,311,945,435,631,756,288,978,925,741,
143,939,458,076,800,672,815,141,980,658,506,287,889,996,555,270,045,108,334,
769,649,942,143,831,795,451,861,166,775,829,912,523,939,060,905,184,526,341,
734,090,354,488,059,549,898,955,886,199,412,419,663,332,125,155,154,643,087,
384,758,864,825,744,577,387,520,183,501,579,076,612,095,955,155,198,711,649,
082,275,718,332,419,589,877,254,192,419,009,006,586,522,397,868,105,184,478,
485,379,377,758,985,819,454,895,755,560,184,466,823,740,073,806,889,955,393,
322,695,091,928,898,089,142,291,463,559,920,375,663,898,088,865,065,742,431,
590,446,579,070,911,581,057,903,052,117,064,691,123,790,659,431,823,994,184,
874,831,697,866,839,378,110,508,509,307,352,732,911,964,208,380,226,339,843,
047,882,714,006,160,779,280,480,762,491,681,903,310,887,719,737,209,034,431,
496,783,638,587,431,987,247,483,063,495,236,632,850,975,821,654,545,246,224,
829,842,685,279,507,979,688,279,488,611,066,677,183,056,481,118,578,244,646,
098,060,627,402,431,049,906,168,071,302,465,675,675,896,292,039,677,195,849,
402,432,328,772,351,118,098,734,807,302,613,233,712,818,298,945,718,142,757,
519,523,870,146,344,492,169,591,826,329,375,359,783,645,700,813,725,021,477,
737,595,946,424,749,945,309,422,043,519,187,980,530,704,453,976,708,958,763,
186,332,609,144,268,269,760,900,982,369,182,238,259,188,850,380,750,630,802,
873,047,716,304,926,774,445,694,832,939,827,017,033,300,311,342,361,445,830,
830,034,597,210,270,193,240,020,576,037,967,389,495,594,456,955,836,633,050,
310,052,714,461,703,404,925,501,726,661,093,693,822,971,470,507,448,143,368,
441,308,140,250,898,765,878,679,404,015,311,434,906,697,167,430,585,708,759,
046,528,654,750,141,641,922,060,809,434,989,857,313,376,836,571,456,949,872,
898,247,490,208,041,994,845,650,721,323,316,129,450,753,492,667,389,796,630,
705,894,346,494,925,226,164,666,690,450,588,253,794,524,479,987,246,817,414,
107,127,726,923,593,992,892,311,047,026,808,485,926,920,194,973,981,618,319,
668,124,393,885,428,593,720,622,352,927,512,443,343,190,884,435,054,789,266,
004,786,299,482,996,720,499,148,085,726,887,932,765,820,357,471,748,890,299,
662,569,208,444,398,859,265,033,905,625,156,731,591,660,927,333,846,192,428,
524,919,014,059,345,505,900,596,446,464,077,772,398,555,550,332,735,542,471,
123,758,086,045,922,438,026,174,035,761,683,200,891,691,045,250,927,181,981,
800,928,980,219,240,018,003,490,379,656,650,828,543,523,525,218,704,116,830,
617,182,259,280,519,133,552,211,311,901,831,891,488,132,414,101,852,874,551,
044,937,556,877,270,989,603,900,561,297,376,716,916,557,343,601,237,259,984,
574,127,319,372,788,424,917,561,036,356,674,856,083,273,080,581,195,523,270,
865,499,097,827,169,735,707,960,480,118,561,816,852,261,199,702,051,265,351,
811,706,435,047,400,597,430,118,253,312,006,511,993,094,171,673,759,655,010,
510,232,188,320,985,817,890,795,447,686,042,647,511,849,245,289,281,087,821,
190,164,159,306,720,343,430,693,809,785,020,815,100,201,644,366,172,265,737,
479,971,408,294,404,965,401,814,105,897,707,733,670,320,028,792,360,562,694,
089,064,551,921,519,194,907,248,299,277,291,940,601,982,178,884,278,885,101,
747,448,267,824,873,270,592,329,508,572,385,124,671,896,317,372,630,272,286,
310,476,013,914,029,952,820,387,012,568,537,919,096,472,934,642,497,247,069,
478,658,771,150,398,787,019,586,908,640,769,966,170,473,465,105,742,883,003,
478,996,389,073,819,957,670,936,958,125,954,816,109,890,064,182,716,528,704,
589,461,842,153,971,123,614,767,942,154,438,544,324,856,717,026,705,129,738,
043,599,790,170,174,694,012,420,737,921,631,887,680,373,100,145,216,528,682,
886,326,915,925,848,237,892,513,956,517,701,274,562,930,343,487,692,201,386,
309,319,089,278,556,910,620,970,261,524,034,272,770,763,324,737,150,947,382,
941,983,303,254,737,052,815,037,237,437,282,014,360,481,040,054,583,227,307,
135,188,183,790,073,468,683,680,332,058,717,329,152,456,563,100,514,899,010,
112,639,554,105,196,912,809,061,654,667,408,584,945,729,348,107,274,514,249,
556,493,435,601,321,412,204,043,265,605,848,153,166,588,373,088,402,278,473,
543,802,538,872,546,248,686,936,956,823,261,629,793,670,621,982,696,755,655,
588,109,918,263,697,836,574,512,072,025,008,941,867,410,856,507,202,469,549,
189,573,246,494,060,907,181,802,472,334,056,732,789,323,912,146,770,363,264,
324,477,558,562,929,111,758,224,636,436,160,673,002,755,586,608,204,306,629,
521,351,393,407,998,873,887,917,469,619,388,009,866,698,508,125,650,192,729,
453,112,294,735,379,470,171,527,374,057,275,936,552,558,077,290,423,449,440,
629,905,871,409,505,060,046,262,325,683,074,919,190,281,283,786,489,224,069,
719,885,171,678,228,744,384,671,705,788,695,322,895,265,659,933,400,433,011,
211,065,435,351,770,163,069,625,083,623,028,069,594,478,483,611,551,176,814,
556,481,614,808,126,349,827,261,766,739,547,844,478,031,936,569,629,565,785,
374,912,541,382,705,430,653,447,423,329,652,276,022,397,973,655,781,076,268,
299,232,322,969,101,451,869,362,636,844,828,004,536,240,212,424,178,330,947,
117,239,239,066,760,271,519,787,691,248,009,279,908,491,432,721,219,700,111,
779,098,064,858,521,026,569,521,622,505,171,155,945,220,069,618,802,426,153,
432,266,246,042,836,968,638,253,273,113,030,384,479,874,558,480,903,450,633,
011,424,077,663,006,802,048,534,856,570,923,696,610,437,888,220,505,207,812,
323,265,457,150,068,248,326,310,624,938,378,282,211,594,768,630,478,069,735,
650,527,139,235,195,734,509,031,754,186,721,013,585,865,015,508,018,210,368,
617,750,428,574,378,621,714,812,900,440,240,331,153,220,293,196,304,835,606,
214,979,351,776,571,388,205,516,630,329,466,531,874,322,435,161,317,477,362,
885,127,558,451,463,128,233,284,482,032,021,563,458,173,776,127,132,402,625,
089,873,413,618,059,149,912,276,031,863,083,378,411,887,116,172,682,532,430,
029,627,326,560,908,960,325,955,038,031,557,022,651,309,048,079,839,685,225,
416,084,974,192,258,936,189,577,234,619,844,004,368,565,087,120,197,644,264,
093,511,301,862,785,711,075,806,402,471,786,075,498,198,909,192,409,161,322,
417,087,082,194,067,925,751,303,682,384,018,950,765,137,549,881,264,464,955,
995,531,173,611,445,393,052,835,541,590,545,869,915,880,246,063,189,516,365,
346,112,345,419,280,087,160,505,128,056,965,569,287,055,527,024,647,672,306,
951,131,559,997,118,103,656,455,809,760,439,448,019,197,798,742,106,171,227,
678,907,025,762,967,063,672,825,898,259,685,648,456,531,205,220,287,992,096,
149,614,968,717,065,829,348,186,850,520,583,574,917,367,228,227,289,376,456,
487,481,017,481,081,137,207,336,468,523,780,544,906,849,918,085,556,323,310,
410,207,805,500,230,279,790,281,638,400,257,105,454,303,813,856,306,613,027,
510,771,357,256,521,348,372,845,007,279,464,961,027,312,813,232,631,656,824,
738,010,738,967,775,945,164,939,867,935,067,930,090,167,869,134,296,052,197,
187,468,380,977,701,104,892,865,830,740,540,470,324,394,628,235,534,937,336,
510,889,965,258,998,761,434,364,918,358,561,633,348,154,403,959,500,423,062,
391,236,687,304,684,012,567,630,594,121,822,977,173,821,469,225,917,560,259,
374,613,802,170,600,867,004,390,845,012,268,948,789,726,729,364,992,796,602,
673,295,769,234,200,283,339,737,114,837,073,782,299,578,276,287,111,866,269,
347,398,290,211,053,443,868,529,235,087,770,309,089,988,221,548,096,995,446,
843,930,893,750,842,391,745,461,780,775,794,488,851,547,498,071,298,155,284,
232,838,083,609,553,920,857,805,182,284,868,239,743,283,728,284,884,076,530,
994,705,970,705,379,975,755,435,202,773,974,302,138,516,539,265,132,790,811,
304,637,975,421,971,629,851,092,191,332,574,263,810,323,840,533,529,816,998,
207,446,467,638,187,555,514,482,259,306,383,513,927,866,873,397,997,547,541,
079,347,399,343,865,346,288,184,212,027,378,480,537,748,737,014,415,835,180,
677,817,219,369,330,185,283,048,739,684,962,912,386,190,016,499,946,394,460,
106,587,612,481,582,085,835,008,487,157,694,504,117,848,292,926,035,272,943,
936,874,058,819,204,706,855,467,849,891,208,684,685,027,778,310,998,391,114,
569,645,784,522,401,868,350,670,205,958,436,640,106,585,126,474,940,114,685,
815,706,384,615,996,894,731,535,713,450,740,351,033,531,576,612,069,960,433,
071,374,408,731,948,639,131,193,996,780,856,285,220,942,248,797,695,358,571,
047,295,852,530,437,443,389,813,383,453,296,349,833,165,743,302,440,876,823,
295,771,245,670,047,794,980,423,640,198,849,402,309,104,852,927,445,144,248,
107,832,268,036,287,770,299,467,111,556,280,037,929,146,363,070,001,508,537,
071,066,884,650,620,244,951,342,103,372,729,080,276,175,614,928,101,670,699,
769,254,622,869,796,250,144,269,766,736,046,727,643,226,844,280,178,406,962,
583,737,208,119,313,624,947,070,442,655,551,237,988,019,823,026,724,902,223,
956,104,303,959,672,414,120,642,614,132,857,114,738,988,037,115,030,043,861,
786,671,233,800,086,750,160,220,226,276,468,278,816,290,786,300,145,394,100,
250,984,024,338,378,545,295,379,484,710,842,077,631,736,236,493,880,667,190,
159,525,893,467,900,897,442,889,431,484,830,734,025,850,862,815,822,002,589,
619,726,837,207,424,207,143,705,096,700,737,149,514,336,899,152,208,981,924,
753,119,524,502,791,690,219,865,284,478,641,358,289,267,041,296,240,478,084,
889,433,827,652,469,190,693,661,130,533,987,907,220,342,464,227,197,273,434,
263,858,727,287,249,650,077,089,465,480,643,882,642,061,325,078,730,371,802,
505,672,198,520,840,380,984,046,240,341,705,032,266,925,927,188,160,475,523,
775,390,931,673,222,148,767,589,578,899,915,205,817,184,671,537,003,913,641,
593,984,962,184,157,252,900,786,091,594,260,500,911,331,347,671,039,769,255,
081,306,540,283,936,667,836,082,138,651,494,339,288,263,105,392,977,194,145,
547,030,602,606,228,747,987,526,331,311,351,593,798,879,305,729,940,612,978,
428,993,751,611,442,257,017,336,154,789,796,447,266,996,679,642,361,696,066,
672,790,813,992,424,734,346,827,365,579,821,054,294,653,321,811,239,217,785,
010,818,135,528,903,014,604,691,780,819,791,460,599,841,897,892,529,621,085,
761,956,789,443,343,886,235,008,758,815,656,923,951,259,728,869,811,095,499,
269,229,806,109,181,755,000,231,966,847,360,914,129,342,382,037,004,765,652,
823,017,471,408,392,421,252,665,984,806,871,861,484,668,954,441,983,474,806,
746,740,368,562,277,516,029,736,567,571,743,316,284,807,696,062,567,153,070,
308,903,658,711,313,277,729,599,403,207,828,093,713,649,483,938,598,439,665,
308,674,207,745,616,062,622,753,914,163,429,803,347,124,366,636,003,102,659,
196,191,144,934,590,586,611,791,890,474,112,383,276,927,211,623,082,343,281,
142,833,638,410,552,302,492,518,366,569,664,600,391,531,887,739,400,732,872,
131,739,272,250,962,082,801,841,923,954,907,559,367,493,242,815,247,289,398,
915,202,561,903,384,126,513,863,140,550,142,436,338,414,705,536,709,833,251,
451,061,871,014,600,594,046,766,094,586,687,637,181,251,105,230,519,434,433,
561,651,321,709,884,899,545,401,611,325,281,767,218,164,975,254,198,933,925,
645,511,929,541,001,261,776,127,170,372,190,201,519,117,911,291,713,086,789,
896,876,672,935,701,593,920,190,670,137,173,656,787,786,541,798,305,546,026,
501,361,820,791,100,338,290,622,731,765,476,580,258,576,690,912,692,676,763,
989,468,846,132,193,295,893,241,631,843,349,683,390,728,954,784,765,831,381,
381,569,557,182,778,655,372,928,150,221,137,367,014,373,180,332,824,919,205,
816,849,830,964,803,554,734,364,307,944,045,388,831,637,760,381,537,664,446,
692,775,362,465,021,344,659,545,484,888,341,042,597,658,985,253,427,556,714,
211,652,270,828,138,280,083,919,422,534,007,274,613,343,118,592,973,399,618,
542,596,316,574,916,786,870,786,632,688,545,996,873,853,052,613,579,008,023,
791,912,290,348,176,107,511,831,585,484,211,918,850,358,468,553,758,554,923,
717,544,055,806,040,669,039,145,913,105,786,130,971,604,763,969,234,388,360,
207,268,532,941,969,403,626,816,679,125,245,752,347,543,181,377,741,512,419,
545,047,976,612,257,755,604,661,823,462,699,596,802,975,299,922,311,592,517,
612,217,677,000,278,462,030,888,314,814,938,847,126,731,000,149,601,904,086,
680,259,369,131,561,518,103,473,756,864,519,978,917,179,226,396,010,952,359,
826,059,741,809,797,248,666,258,820,405,644,969,336,840,529,312,626,195,350,
061,625,959,903,153,128,847,989,584,725,401,774,276,046,311,174,785,372,208,
841,744,229,565,980,426,741,228,335,914,085,518,153,399,098,587,428,315,379,
081,122,199,181,116,363,332,119,364,711,626,537,026,466,500,616,655,897,804,
321,395,819,039,066,807,962,942,534,814,024,678,211,932,084,602,034,026,239,
923,264,279,116,955,092,048,887,119,843,075,992,155,923,987,124,324,723,029,
099,129,091,937,527,038,538,687,945,506,243,377,680,673,684,517,263,125,712,
707,776,354,348,884,400,682,259,094,103,269,087,270,552,074,573,667,225,694,
151,795,646,029,470,945,188,054,294,415,514,352,120,934,217,572,223,849,419,
810,836,692,097,679,267,000,172,075,267,819,205,432,522,957,454,516,586,110,
767,236,930,707,804,573,323,724,258,905,154,186,992,120,947,891,446,943,699,
160,632,798,197,302,230,914,081,304,506,370,356,351,154,619,257,156,897,126,
438,060,298,589,622,125,425,006,936,255,744,617,301,371,075,820,203,778,712,
212,645,611,836,543,827,581,775,670,640,469,128,400,092,744,104,385,365,200,
377,272,206,181,182,425,951,664,606,459,947,630,326,936,377,146,344,382,142,
204,221,926,171,990,245,370,251,514,010,628,622,327,640,466,175,726,938,808,
598,312,615,801,328,375,164,988,496,693,587,100,942,639,715,013,259,319,056,
378,240,880,535,172,077,541,438,534,735,230,461,363,898,549,868,647,359,954,
343,720,467,396,389,759,646,585,606,263,327,006,698,072,198,288,067,122,853,
077,978,740,509,501,175,300,473,880,176,055,030,954,077,772,943,458,329,144,
768,691,983,416,758,828,206,541,875,480,258,385,411,278,487,768,228,463,036,
945,000,330,785,823,123,115,205,720,923,352,591,689,957,999,632,200,655,863,
272,680,457,122,516,804,078,496,142,205,323,806,257,226,303,050,010,143,334,
392,876,089,996,029,010,439,097,264,602,581,634,629,332,789,129,219,573,572,
605,772,748,577,253,645,715,739,814,392,935,764,273,083,094,846,121,751,005,
002,315,340,335,866,721,422,184,442,137,350,416,803,360,123,523,170,975,614,
719,378,347,721,960,451,024,954,164,107,075,831,524,460,226,952,990,759,900,
768,531,070,694,207,255,071,258,632,508,511,047,612,922,986,673,414,601,784,
211,449,033,378,825,568,442,830,509,948,109,627,263,561,507,146,740,707,264,
054,828,688,735,347,293,524,383,284,830,964,845,031,601,205,538,098,622,018,
322,765,023,615,322,513,333,422,867,631,858,177,641,419,786,541,819,203,173,
396,711,787,311,209,021,640,973,650,009,651,334,576,169,983,150,401,192,443,
094,057,585,214,127,437,054,591,687,215,710,838,666,894,550,066,551,765,722,
530,403,460,793,732,054,699,816,746,338,120,268,185,373,073,161,728,046,455,
155,233,691,500,533,530,368,490,338,870,807,057,515,201,904,985,975,635,345,
397,640,233,204,601,145,650,676,233,140,082,700,638,162,509,913,657,654,780,
917,802,588,789,327,927,876,552,925,413,522,541,402,555,622,743,470,682,670,
508,765,334,819,634,077,181,387,330,864,813,124,336,191,110,976,900,102,231,
766,359,379,953,879,775,219,176,995,734,449,485,364,625,439,688,191,756,602,
036,149,416,566,780,373,584,294,359,555,811,347,295,201,672,835,255,916,705,
424,783,168,002,098,863,087,610,990,834,290,846,667,024,463,838,818,039,634,
747,338,162,464,931,922,259,380,880,574,350,673,992,371,628,341,392,176,717,
334,091,721,147,638,736,264,222,001,257,939,075,900,682,743,464,213,662,908,
468,962,777,529,912,505,677,186,984,125,859,482,345,852,009,503,594,626,389,
920,192,285,675,854,068,601,170,948,796,646,526,215,996,640,680,277,802,604,
389,390,831,740,786,912,318,406,720,518,039,707,573,942,565,741,601,596,113,
147,396,031,001,775,060,557,535,334,995,929,863,043,120,265,154,168,777,588,
491,432,855,294,778,736,330,316,734,409,746,585,994,388,580,212,111,110,943,
274,857,049,434,259,040,810,476,654,724,815,547,556,233,450,814,800,457,765,
632,573,307,070,910,464,969,880,012,865,746,540,020,343,405,540,341,306,791,
061,585,222,689,777,476,888,863,353,445,058,877,372,666,622,954,447,488,682,
201,915,721,224,239,645,603,082,389,789,217,360,373,449,761,739,225,971,682,
949,722,772,943,328,440,284,044,576,915,956,329,005,399,859,510,733,704,062,
504,229,288,968,924,211,386,937,555,726,169,654,093,487,816,896,406,158,957,
262,333,802,580,931,483,467,049,798,873,593,327,106,297,571,335,907,940,715,
386,785,633,645,136,280,694,963,552,676,835,058,099,193,900,264,107,160,272,
705,215,721,156,873,584,735,092,382,029,219,984,837,622,419,938,443,971,360,
626,475,336,980,095,065,073,551,202,792,943,390,563,974,436,110,545,611,000,
412,830,662,764,020,707,382,619,827,689,075,231,313,207,992,973,578,818,283,
030,713,715,048,476,485,389,286,623,359,504,585,150,268,709,249,717,594,070,
669,912,778,925,748,888,960,971,821,488,099,729,686,379,278,505,017,602,824,
467,302,331,782,697,609,218,560,816,696,214,056,989,863,308,792,059,681,532,
222,609,540,031,505,073,309,364,623,475,661,530,183,381,638,189,174,954,222,
323,013,835,083,873,698,978,436,377,891,938,448,385,796,877,799,274,045,844,
753,982,383,314,757,268,363,626,843,244,285,073,487,310,539,486,301,002,545,
326,701,302,368,225,536,490,267,122,349,877,494,849,022,385,156,830,074,648,
210,223,072,752,814,676,126,187,667,020,748,666,317,694,609,203,808,551,473,
761,426,135,010,909,868,328,926,318,759,538,593,866,977,959,409,130,078,936,
090,842,546,087,232,049,421,377,015,231,130,606,198,533,675,634,813,730,436,
395,448,966,728,879,484,736,570,756,838,466,506,321,470,612,327,248,974,523,
314,078,212,919,114,838,566,409,654,026,411,637,892,148,116,730,665,461,610,
971,267,824,768,544,733,857,280,174,240,779,521,268,605,097,962,910,203,111,
789,527,554,839,748,335,132,752,225,920,414,909,693,862,260,213,289,867,581,
169,435,934,010,161,924,006,453,324,663,702,661,798,401,235,958,320,918,842,
192,907,575,872,628,927,174,375,277,994,975,062,302,798,387,464,885,819,742,
750,784,706,686,718,143,511,359,605,073,062,852,081,099,898,701,684,323,641,
003,036,353,576,887,350,648,874,831,916,068,174,101,537,290,396,771,335,070,
264,652,086,585,468,846,560,614,605,231,454,950,526,924,548,545,644,114,392,
525,795,030,222,380,249,683,814,876,355,638,481,213,115,643,425,016,508,856,
033,085,653,096,206,842,108,275,288,889,456,464,601,641,798,775,689,544,369,
231,917,972,788,910,406,967,286,999,382,898,645,203,207,949,551,356,858,687,
010,653,905,156,030,722,993,729,104,064,790,459,423,332,302,282,361,994,875,
956,085,271,469,988,460,810,083,232,904,986,016,999,749,991,632,939,111,471,
481,058,070,994,897,907,933,461,859,106,978,885,570,040,652,878,622,893,001,
889,007,006,999,978,588,653,859,176,043,738,331,021,581,689,693,546,920,320,
806,691,781,584,778,379,657,209,953,492,470,865,773,960,999,890,264,417,601,
071,617,018,164,110,865,198,872,627,264,312,949,379,808,345,594,738,627,996,
003,088,935,789,799,042,897,775,569,603,394,308,854,653,140,442,423,792,331,
655,784,540,258,191,589,334,712,494,290,540,880,049,712,641,657,125,727,506,
464,613,084,804,869,677,849,562,463,064,583,306,205,895,147,215,248,251,677,
624,995,484,621,145,812,577,439,807,822,908,447,761,402,862,087,059,917,251,
505,227,433,921,055,146,164,475,636,800,633,963,585,284,798,423,479,356,971,
367,554,890,464,191,258,681,482,031,300,022,342,491,507,372,271,773,163,149,
852,951,859,668,726,576,822,109,937,075,909,521,615,196,465,621,883,744,123,
427,801,068,099,353,507,825,029,519,278,055,877,663,084,213,940,085,842,132,
132,875,271,214,148,591,410,135,856,640,091,055,160,698,688,744,420,850,914,
551,106,832,707,333,943,399,800,634,413,429,578,700,343,945,854,046,679,855,
144,664,264,298,274,294,047,548,726,345,220,481,069,015,199,308,451,671,179,
308,127,548,822,154,555,898,312,495,263,897,837,221,064,232,127,997,970,230,
058,107,395,853,343,047,110,538,802,375,284,193,515,223,396,360,902,108,892,
879,954,308,776,600,776,415,427,733,148,199,697,390,385,293,708,966,704,268,
142,341,687,436,599,462,891,634,578,935,938,132,880,215,389,497,829,863,008,
246,174,521,712,834,589,794,963,865,329,443,653,136,544,039,464,529,802,418,
598,010,885,166,562,432,502,383,511,669,836,559,448,370,536,572,516,549,527,
987,525,117,820,350,927,719,505,744,162,593,650,037,261,581,660,830,202,697,
029,824,457,366,534,193,022,258,335,044,518,516,990,017,415,026,809,873,225,
366,303,221,754,964,211,882,774,833,182,995,753,931,224,176,320,436,735,968,
352,336,790,136,551,635,827,129,418,626,204,710,319,723,642,058,016,704,335,
960,231,432,038,968,856,214,180,886,896,681,818,696,535,908,072,925,292,033,
495,648,325,232,794,325,480,077,070,090,307,129,375,042,140,769,432,561,318,
553,772,884,325,184,243,942,363,091,231,701,812,592,566,964,962,335,154,351,
776,192,822,724,299,381,844,827,648,115,774,753,350,866,534,180,918,724,417,
465,954,536,260,433,413,837,634,493,498,638,999,372,549,477,248,118,086,597,
224,045,162,323,993,367,254,541,436,090,135,931,218,759,898,395,580,386,271,
445,510,153,603,573,920,739,920,168,038,473,582,803,726,770,956,272,860,900,
433,008,992,042,757,360,480,522,134,085,656,849,585,603,537,565,452,169,073,
754,734,824,203,374,569,179,871,324,784,461,635,697,375,448,692,621,682,852,
940,067,721,852,690,388,413,415,121,770,418,115,227,203,806,577,779,669,143,
572,914,826,079,167,228,433,996,508,607,295,236,992,902,961,191,884,015,508,
205,163,806,509,334,626,288,855,982,912,202,776,751,960,884,608,662,527,145,
166,908,452,089,541,850,176,008,685,555,174,283,340,605,647,852,196,654,295,
972,795,863,127,097,764,206,452,742,167,718,097,681,383,033,197,239,576,665,
061,465,253,248,105,729,631,202,668,811,547,162,683,676,882,910,707,471,618,
333,132,743,972,985,005,605,540,734,674,080,803,010,749,990,366,698,059,447,
664,241,163,226,269,503,447,620,328,434,593,484,750,814,880,356,375,152,049,
911,518,807,333,464,332,707,215,895,113,759,798,677,615,807,724,959,494,819,
114,148,514,101,368,905,806,905,784,961,513,698,180,282,702,613,248,799,001,
936,317,798,788,138,112,517,356,371,404,840,597,279,308,867,791,719,874,981,
333,522,854,924,074,225,951,536,287,479,042,449,882,328,640,798,549,233,934,
991,999,949,930,431,718,429,078,596,549,011,729,205,942,939,686,192,576,140,
074,932,397,853,226,222,861,362,552,917,455,636,476,134,334,956,013,959,192,
418,323,435,885,696,906,255,280,472,904,621,458,523,266,145,850,402,857,721,
359,345,757,712,852,743,400,514,230,036,846,761,135,222,434,752,350,971,357,
925,586,099,709,828,657,088,704,642,548,500,950,781,732,793,641,238,895,338,
692,782,225,308,692,444,445,585,982,970,640,518,579,195,647,404,585,625,655,
522,523,738,180,821,285,387,735,282,963,957,827,033,899,919,858,426,303,902,
452,113,701,048,904,871,889,251,458,866,322,182,061,859,775,518,233,066,201,
426,370,294,009,320,814,130,637,918,257,892,065,337,719,730,073,548,926,009,
354,202,446,977,528,856,596,098,385,737,358,802,664,231,340,668,765,468,129,
911,668,639,142,509,088,476,442,251,351,030,325,527,456,399,588,678,932,637,
849,164,648,685,167,950,635,985,560,266,750,409,160,997,794,726,400,455,152,
214,874,686,028,124,841,048,185,466,147,394,631,864,031,270,168,508,191,594,
431,431,829,467,096,692,860,946,425,655,706,806,757,948,626,146,204,493,176,
043,612,242,948,184,170,882,048,464,500,920,127,746,104,937,998,104,813,233,
117,242,369,911,243,338,045,400,667,182,085,945,699,367,241,423,694,728,612,
743,070,780,438,218,602,745,427,953,742,031,468,101,600,819,640,992,516,362,
586,353,212,115,716,645,753,635,413,822,620,777,378,247,648,722,951,202,990,
488,288,297,658,367,003,128,816,681,474,934,320,991,076,567,859,982,476,273,
526,824,879,589,812,253,806,066,543,483,478,326,931,550,280,217,749,092,136,
964,802,314,350,181,577,524,244,882,491,746,584,516,017,589,272,669,424,143,
661,436,011,650,841,326,882,932,620,650,803,430,838,163,673,244,379,676,407,
108,669,113,509,764,906,866,609,544,309,701,978,222,050,831,619,305,333,590,
589,053,494,521,602,118,311,246,101,249,933,654,736,867,123,082,874,007,100,
898,343,949,345,097,361,845,138,099,705,282,867,340,539,381,903,489,709,430,
031,562,849,638,142,688,393,695,654,129,413,947,374,098,036,423,176,442,551,
075,375,491,426,320,521,571,491,107,689,258,850,480,073,003,064,099,398,118,
306,553,530,701,594,287,127,094,113,930,296,498,826,868,807,992,482,070,899,
751,462,153,902,156,194,037,760,910,980,418,911,886,096,024,716,829,526,793,
354,239,235,764,674,794,067,031,097,934,980,903,517,440,199,014,870,760,431,
099,795,310,994,854,730,133,273,000,380,536,166,491,962,771,795,509,986,434,
520,735,447,262,039,669,818,037,418,782,506,908,167,621,794,851,934,080,146,
700,718,525,549,202,122,000,517,375,806,630,968,782,170,136,899,144,002,899,
392,856,691,088,982,772,425,677,202,063,022,829,579,602,901,734,448,090,630,
634,635,770,008,468,290,660,705,035,368,776,049,591,130,478,348,471,264,111,
186,786,556,231,623,218,658,987,116,386,396,446,297,292,380,690,957,804,294,
662,271,798,638,243,167,988,130,138,478,943,490,791,948,458,316,036,170,150,
709,467,970,473,878,907,375,190,192,336,591,305,113,612,497,926,317,167,981,
149,492,206,515,218,222,575,749,933,205,273,529,375,481,053,770,989,804,108,
508,764,355,645,243,749,561,103,333,798,315,315,294,075,668,222,507,563,104,
818,047,971,593,796,851,502,959,218,964,913,981,191,000,189,612,296,637,913,
477,154,554,027,444,861,420,169,471,655,397,467,186,858,890,037,202,063,120,
150,990,013,557,199,342,265,799,324,872,706,656,142,130,404,016,934,479,840,
328,117,813,388,790,271,486,082,765,955,501,277,904,211,319,236,045,372,180,
843,428,934,384,567,410,943,265,542,514,288,415,304,473,025,660,496,593,929,
500,041,852,995,247,187,989,924,369,387,572,522,334,852,002,644,284,686,900,
506,516,934,384,877,180,348,421,498,071,517,902,281,063,825,913,708,530,268,
149,967,242,519,466,555,666,953,826,326,537,771,895,344,353,550,454,443,506,
950,660,821,846,490,287,719,887,182,200,012,179,501,854,147,852,188,180,226,
920,848,080,727,881,809,819,048,668,607,828,293,049,247,525,129,597,067,736,
167,369,377,164,829,069,833,642,028,371,211,608,336,001,425,063,498,586,130,
154,358,689,414,549,116,616,076,079,062,925,356,454,984,615,939,114,102,842,
175,981,370,348,475,670,869,917,594,847,678,959,766,344,796,959,383,257,852,
802,974,024,914,275,865,409,558,561,162,795,757,987,517,571,876,297,501,063,
116,135,970,457,574,480,394,573,484,576,094,761,953,158,646,426,842,728,828,
047,521,123,030,835,005,177,543,074,848,956,544,828,838,172,296,930,397,370,
219,179,662,823,508,125,667,112,289,684,376,497,989,665,353,040,506,284,736,
257,247,635,860,363,270,317,871,794,511,019,673,996,826,176,836,951,715,294,
987,693,343,923,091,433,524,438,343,653,968,160,936,625,727,980,100,893,551,
971,755,931,119,789,654,941,888,448,610,316,602,109,412,516,707,352,308,060,
997,212,981,035,541,404,580,719,351,881,876,548,555,558,362,063,880,854,175,
050,691,788,431,917,287,374,671,434,239,971,310,304,998,960,040,331,699,140,
536,939,585,179,955,169,490,726,634,324,354,545,260,535,345,163,773,752,145,
642,107,403,326,129,602,629,362,300,119,912,994,152,701,803,776,647,874,749,
306,566,951,216,175,035,696,450,250,131,179,825,536,412,382,473,049,646,523,
170,094,200,135,347,453,159,726,322,481,140,898,075,436,462,227,691,245,248,
681,265,346,176,002,406,313,846,164,601,265,471,006,887,936,353,164,068,464,
620,922,227,824,583,586,767,403,249,554,300,940,324,318,607,027,584,309,913,
284,932,992,316,395,927,154,071,045,919,261,531,313,049,783,768,868,289,099,
293,713,195,880,870,725,575,449,533,864,625,514,479,539,063,976,382,462,823,
329,650,451,921,059,957,487,054,110,857,629,653,651,817,985,019,076,013,175,
561,595,570,596,929,735,964,257,221,273,963,432,523,268,805,359,930,500,000,
242,434,370,204,550,163,496,301,110,062,200,408,174,513,913,132,165,300,536,
379,047,362,767,867,719,018,840,387,699,669,199,229,985,480,156,729,605,426,
614,240,658,056,186,961,452,215,247,027,901,970,817,730,790,222,909,167,411,
010,798,214,201,328,833,932,769,809,280,546,899,420,618,947,537,110,539,945,
047,079,742,358,259,288,179,741,502,485,824,363,206,078,324,265,748,381,585,
632,271,240,778,060,055,062,938,753,963,549,174,268,440,049,516,751,619,904,
580,577,118,101,722,853,129,437,303,762,835,716,715,714,545,170,858,596,836,
287,985,503,226,839,616,886,747,215,742,295,164,999,689,448,607,793,501,989,
536,808,769,364,907,694,663,274,844,394,981,840,527,808,217,620,309,826,756,
617,759,331,721,212,495,915,601,632,496,389,907,752,267,791,833,712,627,867,
394,917,009,608,535,990,626,859,354,579,316,997,732,506,572,907,423,452,240,
287,799,115,406,011,609,844,889,486,785,209,671,101,851,454,645,335,051,794,
677,881,204,344,538,575,525,345,447,831,849,864,573,913,830,469,085,783,164,
878,484,837,115,583,828,896,712,183,861,943,884,514,632,182,430,249,973,561,
315,869,177,561,042,939,151,396,060,888,433,924,659,592,555,165,583,638,536,
758,775,490,457,436,693,013,587,836,390,438,791,863,153,820,234,452,400,447,
571,620,245,316,225,088,975,805,025,332,664,083,065,130,926,893,997,794,456,
377,187,801,444,742,900,706,137,286,952,331,719,994,313,938,085,107,473,008,
272,378,625,529,879,514,714,248,989,389,016,186,912,480,166,421,321,799,411,
421,340,079,729,560,711,398,092,676,315,265,557,752,459,918,320,287,383,069,
847,107,231,958,794,465,195,765,472,757,438,982,474,671,657,444,392,957,817,
797,184,540,423,911,535,830,544,153,249,800,725,590,267,404,963,033,394,912,
587,526,557,269,273,872,550,610,461,905,337,990,949,992,472,777,609,484,113,
508,751,543,755,993,392,192,431,597,069,448,958,649,412,427,037,002,996,425,
984,775,245,949,449,615,051,933,520,379,867,969,422,661,111,621,522,331,259,
570,914,810,417,108,443,458,548,407,360,534,677,019,323,150,599,579,239,103,
829,662,857,776,507,980,826,576,626,029,119,390,622,718,679,335,102,443,905,
108,477,080,815,077,475,807,314,884,251,170,147,863,270,115,420,121,761,038,
920,698,654,430,418,009,153,246,394,878,342,088,391,801,288,032,796,642,647,
098,704,168,863,611,274,715,734,879,713,611,897,110,050,637,528,867,850,572,
219,055,994,167,837,457,754,561,838,645,373,969,285,235,939,539,427,828,364,
518,276,730,953,743,073,309,413,779,065,233,617,006,612,040,937,077,217,622,
171,661,200,513,710,453,999,293,425,295,195,340,839,048,114,124,773,993,901,
363,722,853,790,087,638,995,490,771,895,498,501,470,491,843,058,227,092,643,
122,651,688,375,110,750,472,564,074,425,351,838,534,319,364,594,946,588,205,
644,341,980,618,407,432,510,723,171,115,716,157,229,718,247,861,825,403,500,
574,841,643,138,120,701,288,976,237,182,496,829,264,968,179,116,300,466,879,
896,235,642,338,243,307,737,369,363,238,806,630,825,853,777,391,145,801,975,
459,854,150,467,197,274,158,309,348,027,177,889,935,347,204,564,949,926,148,
037,739,928,985,241,710,369,964,219,164,352,404,805,631,363,857,309,670,505,
303,088,054,732,987,835,189,845,635,116,157,936,064,384,769,708,300,850,498,
443,035,729,315,313,706,280,166,654,380,262,433,897,683,873,362,867,677,111,
746,091,181,381,756,590,877,893,765,474,363,624,147,218,251,063,969,831,794,
081,430,447,646,713,086,821,777,253,135,709,222,616,914,480,443,268,692,499,
721,386,175,359,555,151,940,175,597,895,490,114,671,798,843,633,336,072,587,
257,902,909,292,698,591,946,371,054,135,035,213,062,901,482,082,443,228,447,
162,860,506,692,200,682,473,846,348,484,015,762,619,658,546,143,986,116,473,
496,130,349,248,144,094,061,927,326,560,512,113,859,063,676,340,672,069,983,
125,054,709,121,254,993,322,144,849,110,517,235,059,476,252,392,153,862,669,
171,211,135,004,305,554,219,549,334,615,062,338,545,277,853,728,362,146,922,
800,441,100,930,809,061,413,748,156,164,314,699,081,244,087,122,396,399,448,
066,241,938,984,380,726,881,934,688,203,431,431,046,499,301,655,999,413,376,
304,782,078,228,943,716,973,824,739,888,986,923,530,847,305,627,508,459,214,
844,587,255,111,518,915,072,497,037,802,387,681,040,550,566,371,164,150,729,
198,910,903,424,571,869,128,099,721,091,145,144,850,829,502,939,055,072,347,
849,780,457,337,339,643,831,139,604,619,869,154,992,856,007,351,992,349,887,
079,361,426,897,148,380,807,362,680,292,344,846,568,811,061,297,928,974,725,
581,582,600,945,917,290,851,945,560,486,007,808,238,769,106,368,717,727,936,
415,071,091,051,495,447,107,161,718,740,876,725,522,704,559,161,627,086,976,
007,790,122,340,837,318,877,725,349,208,214,377,603,353,947,061,482,334,924,
039,819,265,890,402,656,202,811,128,533,362,959,803,589,931,261,933,731,034,
209,798,828,310,756,156,329,799,287,327,491,900,470,762,870,232,803,950,588,
335,285,336,102,023,142,485,381,968,139,537,710,563,023,705,227,604,903,045,
939,515,830,799,604,759,136,560,618,693,571,436,188,929,566,075,321,107,673,
318,473,882,081,553,962,147,841,395,257,053,822,564,961,653,194,465,883,658,
269,331,675,452,447,720,810,213,351,699,647,830,238,819,190,230,427,934,456,
793,110,466,722,302,067,069,418,016,556,194,290,363,959,264,311,854,223,033,
614,669,334,174,592,647,829,554,590,800,345,726,323,369,762,276,170,532,922,
913,381,822,412,680,900,937,691,529,945,631,035,433,602,579,324,796,289,954,
538,577,575,130,550,745,043,161,708,300,726,093,198,925,914,429,258,518,602,
670,398,915,378,816,646,939,594,605,934,078,158,480,291,284,669,909,727,091,
213,088,744,511,765,434,484,343,508,336,172,946,731,883,497,359,889,679,682,
504,501,212,863,131,858,903,785,045,948,583,617,132,689,263,859,831,710,803,
967,710,400,973,899,692,977,258,979,334,546,326,991,165,664,102,910,226,364,
262,919,261,954,121,594,903,912,121,276,528,345,191,617,289,614,004,051,539,
325,008,568,974,225,538,314,541,505,255,238,423,230,957,849,789,164,118,490,
551,811,552,639,122,701,675,259,419,590,618,259,122,535,631,052,228,952,278,
756,455,435,550,445,904,346,130,316,244,930,219,587,398,516,463,746,119,274,
632,623,933,229,771,303,286,033,372,626,027,933,242,093,862,486,175,769,102,
486,172,754,983,576,755,234,674,383,096,295,092,626,425,423,913,019,881,080,
420,285,284,213,515,559,770,602,351,841,067,717,215,004,005,848,867,572,716,
551,550,182,491,575,563,399,032,810,130,893,820,136,866,735,345,005,289,966,
241,015,654,180,644,320,009,562,121,142,664,667,565,544,878,895,302,255,373,
964,508,716,383,201,244,938,044,490,436,174,041,115,255,990,778,703,643,780,
369,475,204,218,553,852,041,663,025,344,914,838,071,774,324,974,657,304,987,
306,017,954,242,739,153,397,032,214,246,213,900,326,085,715,842,806,984,207,
926,307,106,535,407,877,537,558,552,778,605,583,004,972,249,746,045,491,530,
781,070,120,060,816,506,890,546,822,674,704,356,399,381,284,184,463,030,051,
587,473,500,341,170,314,155,325,933,475,797,831,867,077,247,648,608,549,257,
414,491,358,833,947,113,061,645,315,033,954,991,777,505,176,380,030,970,994,
039,716,497,123,050,379,068,642,167,733,935,321,031,027,953,190,712,679,649,
254,484,339,960,660,513,575,856,438,583,363,070,991,817,232,507,593,443,443,
998,501,638,903,081,741,199,511,223,799,664,298,358,600,923,911,187,284,648,
998,586,353,059,750,141,839,313,235,618,226,207,090,472,142,050,083,687,965,
979,570,079,348,288,247,892,963,685,368,747,484,840,001,488,150,216,727,705,
612,242,669,281,766,127,817,590,053,626,876,695,103,831,469,027,917,915,311,
866,542,037,509,295,644,997,481,197,193,455,047,350,467,782,182,216,866,829,
733,913,966,789,668,879,823,512,959,926,397,190,466,260,947,765,216,127,468,
019,546,788,356,716,148,524,072,544,843,570,486,978,991,404,852,599,006,876,
691,328,456,980,807,575,868,360,702,645,204,353,690,755,357,625,829,061,564,
737,305,413,520,264,778,662,081,582,971,416,458,932,160,961,440,543,732,519,
774,989,428,379,758,540,742,847,851,786,366,703,525,528,415,275,160,718,963,
061,794,012,460,091,375,029,079,013,291,321,765,121,338,270,369,613,514,556,
996,228,441,361,731,364,992,535,556,693,683,446,707,428,940,068,585,374,052,
675,671,717,459,788,700,115,642,477,717,262,297,728,382,677,157,351,691,546,
086,724,579,454,092,564,882,876,627,563,283,772,528,908,530,153,365,257,397,
946,915,441,036,230,448,323,465,551,039,803,183,166,705,201,827,373,590,638,
413,006,805,738,783,103,334,702,050,877,344,162,946,884,138,254,586,340,545,
151,505,309,167,798,175,159,022,948,763,274,517,228,763,329,624,965,466,528,
264,967,881,001,758,588,845,565,989,963,780,998,624,235,802,450,573,371,479,
235,494,307,368,355,150,563,271,641,271,506,808,470,628,755,711,833,555,324,
337,701,384,438,678,795,386,468,819,459,574,557,109,387,245,178,589,619,779,
780,191,256,698,597,324,435,951,947,178,190,242,215,146,319,428,063,685,860,
332,654,757,735,314,059,190,545,856,480,724,966,104,941,519,731,574,529,711,
779,236,017,888,527,375,971,482,274,755,111,293,830,914,373,495,481,678,396,
029,245,539,728,127,097,015,619,907,257,982,074,708,027,596,190,782,684,797,
840,733,958,691,424,617,198,604,589,616,423,834,448,438,438,521,881,179,426,
190,905,974,232,692,586,472,096,273,270,325,267,267,420,943,350,178,752,032,
954,922,510,576,142,019,922,211,428,129,231,358,332,344,466,855,939,411,045,
646,301,378,555,129,684,612,174,372,004,260,134,416,264,654,495,569,734,471,
446,794,761,835,048,481,602,384,794,306,702,788,159,110,127,767,348,535,506,
254,335,474,618,342,498,011,014,748,418,318,476,228,774,065,927,019,900,072,
694,074,643,646,064,501,685,533,418,173,885,232,364,903,989,321,596,273,758,
888,476,019,736,784,531,397,429,109,395,240,534,192,304,114,505,884,364,218,
366,958,237,912,405,307,520,439,992,153,038,863,927,266,181,753,811,535,932,
704,633,472,121,607,827,809,942,037,852,860,817,069,646,938,568,240,736,978,
417,308,803,460,907,507,273,724,770,576,257,139,430,251,467,499,035,894,969,
608,945,627,231,747,407,407,431,179,102,803,029,004,373,486,092,230,298,231,
737,951,199,436,761,614,726,710,172,198,030,453,130,897,519,908,712,414,291,
682,078,860,438,216,694,529,586,635,398,818,357,694,573,694,766,918,988,733,
992,695,321,911,106,372,986,762,701,157,761,633,143,261,057,943,883,485,112,
432,341,282,512,702,023,198,510,205,617,598,436,459,384,831,370,061,284,264,
386,217,157,999,813,538,730,742,238,078,472,365,046,712,784,246,183,051,056,
942,772,709,891,962,642,255,671,769,993,831,695,824,167,915,821,317,246,754,
783,605,706,645,821,587,396,864,000,843,513,268,049,323,795,667,769,613,183,
469,568,409,116,899,540,521,262,187,410,338,331,615,390,051,430,590,166,544,
081,417,401,226,358,918,436,269,864,521,953,390,104,961,707,959,091,168,690,
851,201,995,794,467,978,400,829,645,040,397,028,357,065,122,471,781,225,484,
604,991,813,083,234,990,978,222,338,670,428,778,369,011,942,773,641,556,407,
314,944,483,776,114,306,604,230,832,501,342,604,535,504,922,840,715,982,367,
650,723,633,753,959,686,201,093,921,180,799,018,252,494,755,475,105,513,943,
129,268,317,982,736,650,544,013,948,371,544,741,301,171,835,342,438,733,953,
644,598,119,233,869,378,353,718,178,549,655,806,844,245,728,921,656,968,602,
368,265,574,901,981,037,088,230,132,356,606,035,018,396,333,652,899,359,849,
785,961,054,920,186,637,253,030,096,012,043,217,622,810,050,150,852,255,174,
735,835,217,099,778,475,204,089,429,597,374,716,599,384,038,107,513,958,635,
713,513,552,270,027,527,755,183,238,446,582,927,434,154,468,391,686,650,759,
143,123,599,724,653,328,206,909,599,994,037,109,934,283,863,867,718,262,439,
778,228,577,126,483,873,429,206,059,106,569,646,871,889,282,356,851,006,825,
323,171,086,469,667,295,901,743,301,782,633,013,354,948,212,755,599,197,202,
821,241,104,313,827,500,566,366,026,640,464,395,585,659,113,069,208,634,712,
619,487,211,365,932,462,565,446,406,242,466,668,333,412,387,914,292,624,630,
905,719,571,865,193,632,495,929,389,919,520,156,186,438,418,757,983,349,217,
978,811,207,754,113,146,678,566,430,074,234,032,543,087,556,577,926,174,018,
645,971,499,725,291,086,701,324,323,716,767,444,576,850,413,999,223,997,137,
640,569,599,349,755,434,915,728,269,866,159,040,338,679,274,699,207,079,891,
655,806,666,170,177,227,926,564,200,130,382,853,565,556,151,345,667,623,108,
472,725,933,917,660,173,289,602,933,621,605,359,697,880,167,855,020,936,979,
272,739,782,146,642,955,768,159,368,575,630,516,268,882,570,426,883,518,958,
539,313,407,941,617,483,071,515,127,196,799,012,832,354,616,009,477,320,528,
527,771,048,183,705,255,024,539,590,683,905,310,455,113,407,414,352,813,209,
188,946,832,519,475,715,432,144,145,605,453,570,189,582,569,606,513,554,645,
850,890,350,936,161,895,579,838,446,206,680,559,209,836,090,259,058,731,047,
936,621,238,021,003,804,167,674,760,456,433,402,894,747,998,194,422,389,918,
711,495,911,217,308,798,161,282,280,843,059,506,423,728,696,177,976,056,100,
890,276,270,773,457,008,670,140,737,777,450,355,767,626,334,118,025,811,541,
110,305,133,417,587,909,273,204,536,151,724,762,372,876,296,808,279,192,285,
471,394,040,673,078,447,681,601,928,049,727,927,526,917,867,764,687,943,270,
952,959,594,575,649,122,032,646,932,935,783,889,412,132,385,443,945,707,629,
916,582,506,003,802,536,679,173,433,312,248,003,323,314,219,852,702,807,270,
001,859,691,639,708,830,450,484,886,995,350,260,321,522,314,579,102,533,830,
072,130,274,012,518,336,984,205,992,993,979,387,886,668,663,760,171,552,978,
512,176,289,190,666,924,463,999,300,847,822,570,407,700,252,760,964,177,963,
546,848,511,696,275,130,772,220,519,062,710,175,115,572,548,460,782,447,041,
935,261,751,283,335,190,958,300,351,272,812,168,483,824,529,520,892,421,592,
693,310,835,184,112,007,570,863,988,478,119,960,185,772,853,547,316,510,559,
771,751,908,394,220,144,000,266,463,396,662,934,391,966,321,471,776,835,797,
731,254,402,817,159,659,766,111,543,267,442,064,223,768,718,678,473,363,328,
571,763,994,395,622,781,042,688,964,094,400,578,372,735,708,846,802,824,860,
823,838,036,969,602,546,752,667,394,190,423,415,356,464,052,784,845,747,431,
123,950,413,154,241,879,533,075,910,050,608,122,275,386,515,127,808,597,397,
944,969,944,618,410,626,341,995,934,858,381,487,378,975,776,792,782,733,116,
328,754,821,967,885,709,344,766,762,032,531,044,519,431,199,484,210,926,371,
277,537,391,092,846,502,708,757,109,053,216,733,924,092,700,110,606,703,334,
013,867,572,070,979,421,768,261,949,267,622,889,779,228,159,271,540,574,910,
598,651,402,265,197,494,126,256,455,465,575,125,269,461,615,452,489,191,830,
867,786,996,470,014,656,425,132,819,178,482,020,700,295,024,027,740,153,503,
391,111,520,237,868,591,716,593,837,107,313,350,199,290,637,698,261,285,715,
037,117,266,258,720,269,645,139,215,418,925,462,036,813,353,838,693,767,688,
523,014,949,293,262,905,312,710,311,749,420,067,705,357,743,139,677,034,789,
373,476,622,873,083,483,885,072,714,911,462,129,516,995,446,063,275,825,753,
336,687,818,166,887,798,783,971,473,735,639,139,036,640,173,980,111,831,345,
427,968,003,375,666,097,626,039,497,019,349,901,639,829,460,818,825,935,052,
827,898,766,857,093,113,876,776,898,513,599,928,480,336,506,723,231,723,774,
225,680,498,463,537,868,379,165,948,951,033,087,396,590,035,185,534,240,309,
898,518,293,563,013,373,949,922,430,687,256,640,417,711,131,257,116,970,259,
451,509,317,502,966,975,646,916,088,254,837,410,167,407,798,626,234,029,514,
216,714,785,188,884,796,393,495,073,049,644,308,644,802,174,881,075,663,766,
434,519,138,000,422,878,640,285,935,335,974,954,349,647,042,543,963,110,879,
171,865,952,549,299,984,391,210,402,149,049,223,875,256,931,759,933,467,689,
920,397,758,930,118,939,515,611,356,084,298,326,526,702,826,048,864,250,111,
753,024,531,193,449,394,203,494,370,286,124,927,066,642,811,710,593,308,687,
859,842,466,131,586,375,841,632,752,155,064,554,249,702,559,873,660,534,857,
481,610,378,547,797,074,065,270,124,875,687,987,523,391,740,767,177,702,522,
872,044,785,192,184,345,950,124,238,981,596,021,345,626,659,359,647,291,970,
714,930,310,719,891,753,399,297,083,534,300,054,432,581,133,544,092,092,282,
289,679,365,869,714,911,662,595,029,240,607,138,760,851,323,833,631,772,260,
706,956,249,998,876,722,880,071,220,735,344,271,479,587,446,036,888,057,237,
254,736,754,427,368,084,330,358,747,647,110,585,046,477,944,030,685,220,160,
594,927,451,216,615,837,009,858,918,971,155,036,043,184,341,343,841,066,464,
579,050,637,887,009,269,649,011,035,030,107,093,019,217,511,591,557,063,287,
350,168,805,641,064,567,127,577,831,861,514,330,954,268,313,549,405,730,600,
031,465,651,350,890,666,279,646,860,400,771,138,214,161,330,479,800,985,738,
587,845,746,386,599,102,374,279,156,723,945,542,652,371,469,497,198,180,723,
199,494,480,357,945,471,605,397,102,376,784,373,300,762,071,687,157,737,844,
764,263,656,533,755,741,286,256,101,912,850,057,080,412,195,464,328,576,777,
809,207,896,776,610,070,536,380,872,133,777,156,024,684,926,556,810,338,537,
914,168,984,214,027,051,109,432,808,991,777,777,119,588,331,304,642,051,814,
338,432,207,883,399,029,129,958,109,893,237,061,957,929,215,700,602,369,105,
142,753,003,560,223,209,098,537,173,138,573,702,915,880,009,728,802,448,788,
800,003,948,872,224,888,277,219,901,096,904,011,675,129,055,796,972,732,375,
422,778,893,384,327,664,915,356,132,444,091,485,604,706,894,949,787,871,047,
444,791,705,525,930,378,955,488,008,067,494,597,989,673,128,286,976,254,661,
126,221,552,418,701,505,180,630,703,562,620,019,436,406,081,561,213,367,247,
604,434,566,313,488,302,794,380,592,015,917,531,481,391,853,258,563,981,391,
286,561,345,079,932,794,162,339,376,043,798,203,759,912,365,995,327,994,966,
875,873,928,595,553,687,878,876,862,885,028,214,058,777,461,644,209,575,342,
070,554,433,355,277,260,189,860,128,525,196,304,935,080,627,773,551,882,542,
430,670,809,904,584,226,268,850,372,162,625,407,246,638,964,756,903,627,037,
869,115,463,840,481,140,795,652,059,720,408,613,799,029,913,461,744,652,825,
190,552,284,917,783,447,730,251,760,116,394,133,322,192,200,210,208,307,130,
465,632,104,232,233,874,747,759,756,368,231,066,069,253,581,670,358,327,737,
546,844,344,326,344,471,708,745,728,894,499,002,516,772,433,391,979,594,711,
712,664,163,609,814,565,507,554,716,467,935,986,448,926,978,636,183,426,537,
158,667,514,385,411,650,054,082,957,900,437,540,835,971,554,504,547,956,437,
859,350,427,273,251,086,935,875,508,293,837,290,932,973,891,424,298,883,969,
148,981,667,753,418,845,113,630,555,539,356,239,584,452,973,498,241,909,660,
192,808,355,828,343,260,045,209,160,947,711,721,452,350,668,221,076,292,168,
507,361,856,384,192,844,085,257,292,046,131,896,539,493,117,581,167,445,822,
814,888,927,074,698,010,241,730,410,150,547,093,262,397,109,177,259,384,332,
183,443,390,451,445,129,420,594,992,816,998,734,484,566,909,698,466,157,198,
435,342,287,556,656,767,220,341,358,233,608,473,343,044,695,379,884,446,240,
360,205,039,960,231,396,533,706,287,306,597,015,997,658,015,607,971,210,261,
676,801,964,050,478,366,796,770,820,264,185,401,708,168,563,800,213,837,793,
811,224,522,891,387,947,691,109,186,972,941,626,040,873,128,120,735,258,428,
988,423,633,728,129,448,801,992,151,527,751,394,137,937,933,272,397,447,321,
931,767,639,185,271,690,078,837,173,265,589,501,002,254,519,719,701,928,043,
454,479,497,380,026,904,261,990,924,034,378,083,591,920,000,456,130,990,226,
714,485,407,457,945,412,140,143,175,901,227,676,068,501,445,446,978,994,305,
539,092,971,609,872,281,321,306,237,452,655,059,805,799,057,635,030,147,692,
922,737,842,130,054,548,230,480,627,352,332,189,300,406,538,722,270,068,727,
764,624,452,307,262,265,832,851,468,205,114,982,244,731,082,701,281,134,492,
208,202,698,867,354,303,493,668,886,913,039,837,669,821,258,155,852,351,731,
818,624,102,094,101,209,413,171,240,254,002,977,447,003,826,457,467,397,747,
588,879,792,923,589,617,491,850,565,298,881,302,797,641,893,209,210,382,583,
341,563,275,914,368,271,460,614,602,769,794,604,508,305,733,799,932,976,439,
409,654,459,370,397,963,953,247,234,885,474,129,916,849,878,042,590,725,508,
111,113,040,704,786,473,849,013,193,948,089,028,703,586,315,322,111,941,966,
639,716,696,907,255,985,118,968,652,429,191,953,748,536,311,878,355,007,893,
608,964,381,695,175,493,289,336,862,636,428,199,140,280,765,613,549,356,471,
512,258,708,094,739,355,933,646,803,709,223,374,751,868,459,510,944,097,052,
481,282,755,311,857,510,895,482,631,720,662,643,631,576,045,554,386,957,647,
684,760,284,505,785,238,095,517,500,785,814,451,481,288,140,405,908,221,060,
979,236,805,723,893,351,341,444,259,700,870,855,186,592,545,309,522,094,483,
251,366,973,212,106,196,998,527,139,939,172,845,687,242,281,030,983,838,431,
154,083,466,822,973,823,663,282,616,960,327,332,838,781,788,075,193,812,321,
048,066,221,394,599,217,562,578,629,552,919,131,623,156,540,677,695,733,246,
381,534,442,877,641,106,253,791,043,100,687,370,618,965,022,090,500,478,179,
598,156,288,854,375,572,977,075,965,598,643,137,625,187,720,427,464,280,233,
023,428,203,316,472,009,955,889,391,525,421,128,637,993,590,840,121,920,733,
203,137,957,155,913,610,582,776,020,980,227,391,074,479,681,106,232,287,207,
849,425,288,813,614,308,277,958,068,146,241,857,528,943,454,607,502,123,950,
772,795,018,034,422,500,756,447,943,871,840,414,591,765,528,089,894,932,672,
636,151,629,931,028,676,902,480,538,697,735,107,431,272,170,967,734,117,889,
341,699,194,606,426,880,401,329,889,043,214,689,983,794,242,351,676,654,974,
340,259,246,964,909,769,628,729,245,916,454,261,121,519,575,660,017,289,084,
746,185,726,746,179,430,352,371,689,342,919,444,414,090,318,432,067,107,151,
266,186,626,835,189,539,774,546,103,486,951,093,627,249,443,287,985,325,743,
771,428,125,820,633,680,295,368,842,463,848,321,406,774,975,443,707,017,074,
783,001,051,473,281,552,480,963,264,986,614,152,699,173,350,949,702,183,852,
714,656,318,270,602,044,516,962,251,190,980,248,831,383,273,167,363,436,171,
173,518,616,043,357,377,606,247,949,079,400,961,098,148,795,397,073,759,308,
223,711,935,226,266,435,784,764,607,264,389,983,921,202,404,828,867,024,927,
862,966,203,661,538,839,883,973,376,834,483,176,041,849,556,693,277,959,901,
482,024,286,980,239,010,062,029,138,110,200,842,806,378,513,411,138,890,122,
154,427,761,603,422,228,854,308,305,399,340,221,126,832,747,844,627,873,611,
018,695,116,592,896,273,266,769,471,180,541,210,813,281,664,368,796,791,816,
163,793,108,278,692,683,513,420,879,209,780,118,965,239,487,340,700,894,324,
620,358,459,413,478,856,294,153,663,661,164,142,686,905,926,804,725,829,882,
901,962,456,872,934,927,451,833,102,050,951,569,190,760,699,510,234,404,370,
864,705,338,193,388,464,853,835,867,292,084,670,007,902,794,382,820,816,467,
188,177,041,573,335,023,848,373,775,018,526,943,295,124,073,606,629,167,989,
627,450,705,458,768,839,379,074,190,383,294,540,131,741,898,160,769,288,652,
582,733,450,389,468,318,806,676,550,855,292,726,052,481,293,639,092,981,645,
436,946,256,250,846,671,434,593,933,820,211,748,004,671,392,882,726,533,149,
003,146,628,990,694,186,608,905,018,736,990,341,827,253,902,971,310,813,602,
010,977,937,151,615,886,268,558,596,378,722,532,158,207,843,420,733,113,900,
097,527,165,358,538,094,089,935,855,176,297,345,194,985,797,761,661,465,076,
885,003,243,176,708,474,620,342,827,331,827,520,283,965,714,486,149,777,937,
998,118,739,885,279,395,877,121,698,969,477,518,370,397,352,469,066,866,196,
494,892,302,648,931,909,143,682,761,222,913,921,811,763,684,200,619,622,932,
099,683,187,786,155,701,918,724,364,524,977,978,908,533,272,259,866,893,309,
451,033,925,601,290,124,373,583,227,535,425,177,036,049,987,888,328,457,793,
272,855,578,243,750,905,673,454,973,660,054,002,643,769,529,218,596,753,140,
326,039,975,309,951,094,427,604,301,830,810,225,016,473,348,825,091,669,753,
153,520,395,779,746,039,934,402,445,460,898,689,529,288,639,526,088,540,334,
767,776,883,616,556,562,162,111,317,744,391,064,998,111,179,533,999,339,541,
187,461,162,813,352,545,689,079,514,395,934,188,778,368,760,035,362,762,546,
830,692,647,073,767,244,843,371,317,364,570,603,659,586,189,699,612,330,695,
054,337,437,554,685,890,282,449,619,476,968,721,306,314,573,363,452,073,767,
353,836,749,577,377,650,521,251,955,372,535,438,215,329,526,863,535,199,719,
582,914,581,443,353,397,999,885,524,347,028,030,713,688,171,505,228,868,598,
211,789,998,692,290,260,499,567,929,755,380,484,465,884,358,831,722,995,974,
899,423,421,379,766,934,391,326,558,698,597,415,772,389,693,512,554,069,227,
147,933,382,993,009,573,346,443,742,422,512,850,668,397,251,063,748,469,113,
251,906,671,446,065,528,674,288,459,733,505,001,789,857,044,892,836,895,135,
175,427,311,443,547,591,262,802,309,941,446,885,838,091,418,888,332,015,780,
495,541,765,694,668,191,370,717,274,942,327,293,044,791,801,780,144,237,125,
015,212,347,330,496,380,964,779,943,843,846,749,138,718,717,798,952,577,125,
272,160,962,554,847,230,223,920,386,559,719,550,035,338,437,759,902,742,577,
917,178,246,732,113,700,650,317,128,311,444,445,461,608,175,524,339,501,050,
034,583,713,577,472,971,780,362,930,625,474,698,632,869,437,929,107,955,169,
779,895,148,953,813,169,104,496,588,651,729,495,176,588,520,636,054,008,491,
923,131,248,485,650,303,284,811,359,045,616,638,099,248,840,589,919,617,706,
988,517,947,663,735,215,681,225,099,880,096,834,344,286,981,900,612,189,138,
835,576,266,600,423,631,996,977,506,065,752,592,614,275,499,520,707,797,527,
836,273,320,232,452,325,347,330,313,858,036,601,195,845,323,195,568,039,073,
913,394,980,548,247,483,127,601,628,592,455,387,229,323,304,428,608,394,893,
535,275,097,962,543,139,870,538,671,550,570,442,633,981,379,271,250,017,320,
922,169,671,892,041,187,136,838,788,142,957,963,081,315,236,385,591,050,629,
929,275,797,542,201,565,720,113,888,802,573,024,101,121,981,168,741,285,575,
270,690,074,469,743,422,111,227,066,291,710,617,621,553,164,558,254,064,775,
946,560,470,775,324,487,285,416,510,719,034,713,569,416,781,091,005,328,996,
539,541,868,927,899,869,521,644,446,957,795,602,493,217,786,701,115,365,894,
687,332,426,963,608,690,297,063,293,017,679,024,368,141,261,543,664,687,089,
452,656,595,753,822,983,256,294,030,585,980,459,931,336,447,594,316,614,684,
583,360,424,948,179,186,615,220,475,207,395,012,610,517,491,374,990,014,487,
737,233,778,306,303,132,015,854,628,400,380,973,524,437,745,877,342,249,165,
001,829,680,564,013,697,717,795,053,593,558,485,134,700,200,832,870,943,968,
356,818,403,513,335,092,401,966,335,291,471,109,471,764,068,409,975,212,990,
915,248,240,953,198,900,132,612,091,379,013,381,248,850,832,812,012,630,398,
403,294,952,458,861,749,816,543,085,606,271,852,235,201,352,299,751,763,808,
455,856,950,072,490,413,636,880,741,845,510,836,998,350,542,317,103,268,891,
312,322,217,690,408,261,755,349,673,367,177,198,322,989,656,638,894,121,815,
022,392,275,411,315,634,342,301,441,206,734,169,842,949,413,171,499,158,597,
335,208,959,930,782,039,321,351,491,052,104,316,893,228,497,966,780,789,506,
605,590,788,016,956,493,342,580,953,830,597,505,601,909,686,644,395,049,980,
499,227,877,070,464,417,958,491,861,831,190,534,090,653,486,929,755,301,746,
867,060,758,955,542,730,621,651,282,898,918,197,149,510,655,885,855,026,187,
935,595,197,779,930,672,263,622,152,451,599,713,470,971,611,890,183,712,483,
188,637,239,749,381,997,972,978,520,856,519,271,980,823,209,609,214,699,063,
456,437,766,369,136,795,441,823,326,761,500,350,341,359,983,854,264,047,599,
294,057,206,091,941,843,422,021,749,394,178,579,369,884,632,206,880,144,448,
662,977,392,067,944,217,480,387,779,379,330,648,682,124,136,231,599,424,321,
417,532,983,721,111,587,186,196,858,151,498,844,810,614,732,491,253,079,564,
197,428,303,450,502,327,837,649,818,577,488,140,070,798,967,074,959,020,721,
983,493,391,940,351,768,333,711,656,921,746,997,269,176,651,763,799,394,428,
336,477,114,863,264,641,726,367,204,674,404,571,140,840,480,889,424,949,161,
749,093,283,145,201,311,795,863,116,661,157,830,697,343,052,463,023,142,342,
219,026,059,807,842,874,752,931,458,017,625,616,675,374,689,096,819,578,854,
390,500,105,775,819,078,065,658,878,904,129,160,460,475,640,651,420,258,961,
252,071,190,203,791,284,426,246,712,090,732,754,007,588,644,737,779,035,051,
851,685,289,287,595,042,823,645,754,521,018,028,077,316,556,631,770,585,082,
198,019,150,106,211,403,968,271,203,449,279,192,558,533,485,260,343,221,031,
685,642,980,706,619,258,819,569,190,400,627,762,252,485,239,692,456,257,170,
896,935,055,354,017,900,033,885,900,771,301,265,071,919,351,456,202,624,096,
415,245,282,897,005,029,739,117,213,131,550,781,406,380,315,152,362,532,014,
299,342,909,367,899,663,626,534,726,278,971,052,948,259,001,343,888,259,993,
946,251,235,066,044,789,341,901,214,173,215,256,419,235,989,608,333,376,099,
653,964,823,998,609,277,670,939,947,906,064,415,267,996,242,836,831,106,950,
404,023,245,634,929,171,086,678,269,023,472,955,444,582,677,471,589,888,378,
510,174,500,595,586,821,833,430,379,272,847,216,838,837,709,935,968,986,667,
486,063,342,239,220,225,829,595,833,054,841,817,873,025,726,690,590,638,421,
493,090,146,163,273,994,419,639,793,531,039,995,718,558,461,765,824,867,429,
027,938,489,672,912,507,410,190,693,746,596,249,934,350,076,579,097,722,579,
312,955,451,129,134,213,381,912,933,547,602,288,021,688,778,462,434,163,934,
202,547,405,813,024,609,660,276,308,518,737,646,824,745,340,585,012,174,136,
873,570,854,604,853,460,959,025,822,671,523,767,235,871,502,766,955,442,360,
008,263,306,987,420,405,639,439,676,397,636,558,972,645,785,091,802,512,786,
914,846,328,861,382,172,520,301,383,019,900,507,145,622,358,347,334,777,389,
499,215,232,626,962,149,063,047,273,487,145,799,198,664,379,942,239,309,663,
043,136,419,420,908,061,965,020,670,511,328,360,682,663,543,635,683,219,766,
676,126,228,750,416,449,476,973,683,768,308,555,734,949,350,202,017,189,365,
806,862,607,202,777,014,969,703,549,449,921,577,913,055,377,322,316,808,318,
474,590,258,413,719,791,466,868,599,787,445,777,428,014,571,566,441,057,176,
645,144,389,185,004,163,276,725,312,442,329,329,118,215,199,060,730,327,155,
163,474,705,495,040,483,148,908,762,165,736,446,025,788,868,508,280,866,984,
230,894,349,335,107,031,852,641,280,202,447,910,529,359,784,301,434,286,249,
074,389,259,565,262,262,738,277,683,548,609,920,399,891,590,907,208,978,915,
818,457,475,956,949,262,150,310,260,348,276,642,201,729,983,769,808,847,680,
168,059,067,896,531,762,828,238,247,223,368,392,065,776,009,722,736,313,126,
688,046,254,629,902,998,036,127,441,757,573,833,463,252,703,342,381,292,150,
554,731,150,440,477,573,476,410,933,760,173,208,013,251,194,841,006,666,832,
455,185,769,792,402,196,573,835,358,416,536,060,745,290,686,181,679,587,181,
600,695,250,144,411,959,955,991,015,338,800,964,918,198,007,420,180,817,560,
588,918,913,117,950,950,756,101,110,399,852,686,021,668,856,107,794,505,792,
553,736,749,677,680,005,589,619,459,986,435,839,043,773,935,437,037,664,239,
648,047,208,414,355,122,214,985,985,232,774,399,499,185,073,440,928,009,175,
465,633,513,855,630,961,440,356,358,184,306,146,048,114,324,259,952,436,613,
690,089,710,244,918,771,933,117,627,588,405,901,659,871,168,492,762,143,620,
586,797,815,504,422,361,287,636,718,396,891,272,348,748,869,993,942,068,851,
599,701,241,400,104,168,072,575,401,870,803,910,812,347,377,478,731,650,545,
717,160,323,939,987,399,619,275,168,926,789,419,174,475,152,460,453,315,182,
653,124,802,107,478,568,525,706,264,973,281,182,511,549,788,801,228,430,357,
397,389,488,981,858,171,577,903,335,614,450,954,613,999,977,884,135,858,490,
262,299,552,635,106,790,613,362,350,358,454,353,150,306,277,262,439,293,836,
000,242,047,939,293,557,874,216,405,738,389,634,603,966,379,410,334,520,985,
880,545,886,679,864,595,916,120,398,433,269,836,094,434,905,344,399,291,932,
941,834,269,754,976,060,081,099,588,602,929,203,585,971,686,536,608,298,255,
169,972,466,373,956,940,031,414,574,759,080,490,758,984,207,787,045,855,664,
924,744,568,811,744,332,187,842,121,554,663,681,137,146,601,644,293,024,718,
027,723,547,585,688,799,610,348,635,509,599,576,693,124,187,759,657,550,819,
776,691,693,695,854,739,772,055,118,937,004,691,016,160,253,326,686,794,775,
691,612,186,960,739,599,090,005,799,295,904,705,806,199,390,433,181,298,271,
428,642,321,374,339,860,070,192,999,439,138,831,252,430,665,628,383,779,034,
554,110,383,240,204,676,320,988,575,947,420,877,792,110,192,144,452,755,049,
119,292,460,281,959,291,809,227,253,339,506,117,167,941,531,283,081,241,094,
788,601,004,975,575,367,439,080,816,079,318,776,814,605,258,172,978,905,740,
693,797,249,764,761,700,909,007,812,935,757,347,924,101,223,946,964,049,781,
459,718,267,384,362,556,566,505,383,116,771,771,915,868,570,912,339,114,068,
071,025,496,812,939,988,123,806,431,678,271,876,054,478,323,140,308,449,304,
805,431,814,733,020,758,365,537,378,505,111,941,262,719,847,273,626,216,815,
704,198,266,725,378,345,876,483,732,409,468,849,588,151,501,696,606,090,687,
502,411,693,666,442,597,397,280,648,082,170,656,319,134,039,307,246,955,455,
624,964,597,921,607,967,376,854,941,866,979,722,269,200,847,709,698,262,239,
220,613,583,863,198,239,916,629,590,623,349,175,084,307,880,719,589,286,905,
308,463,302,352,144,965,635,110,055,664,584,806,092,232,913,489,672,546,071,
323,806,443,107,844,019,960,025,590,287,511,640,765,858,562,681,166,787,922,
816,504,275,695,303,410,427,481,692,122,880,435,237,030,087,814,412,888,646,
573,534,964,492,840,830,844,004,024,115,548,782,706,789,303,431,796,342,981,
690,518,979,430,457,217,145,216,209,050,096,433,504,333,228,213,831,631,954,
474,180,057,668,635,008,236,247,227,467,150,487,148,001,567,412,422,645,382,
284,361,981,574,424,907,089,985,952,190,738,396,194,432,142,030,538,038,131,
797,609,580,425,561,032,817,149,581,793,386,500,303,590,305,330,426,637,051,
959,349,567,338,485,136,283,284,101,869,507,380,235,318,585,846,623,002,710,
519,551,123,752,425,221,756,091,668,275,299,847,694,830,040,075,326,701,675,
577,062,718,390,000,208,574,845,130,881,440,145,415,213,488,969,704,371,469,
014,555,419,096,260,395,338,127,835,563,762,520,236,236,187,538,699,959,060,
429,600,613,785,116,359,382,702,590,816,582,960,997,006,306,069,869,471,522,
417,130,880,946,216,950,944,914,466,786,527,517,203,127,175,196,580,490,802,
482,926,451,351,845,926,924,292,714,525,634,319,800,888,253,543,832,908,334,
206,143,249,524,107,873,717,971,038,468,228,182,521,583,987,511,267,596,495,
261,536,004,038,179,394,853,012,499,863,302,235,952,014,224,617,610,569,795,
852,106,266,336,065,102,908,534,466,695,504,934,281,221,713,746,497,769,818,
113,460,310,739,065,912,760,527,403,538,132,857,337,335,523,643,229,851,369,
609,116,348,885,335,807,423,240,605,092,989,164,271,909,594,663,158,281,561,
399,095,914,187,217,084,211,981,442,242,748,258,336,138,668,530,601,111,431,
142,378,526,361,067,825,405,791,959,186,292,822,427,973,694,654,812,833,602,
294,938,355,239,999,890,381,996,609,170,340,447,241,843,221,892,964,978,692,
811,317,583,365,992,319,018,848,709,831,381,050,747,750,780,850,512,619,781,
454,570,911,397,855,880,001,284,967,689,675,112,866,713,190,882,450,361,560,
018,060,491,132,287,612,921,375,227,525,925,944,659,308,318,607,917,889,427,
985,606,764,926,291,252,581,026,772,280,312,949,019,674,769,824,158,505,325,
022,379,114,383,003,422,711,925,670,097,256,618,984,715,103,658,895,971,033,
257,864,714,170,571,156,825,960,099,999,074,830,268,115,424,177,174,365,508,
619,630,035,938,906,272,307,577,747,384,263,544,914,251,047,720,299,242,600,
497,344,036,668,005,839,470,007,768,370,463,138,973,285,638,729,036,516,013,
423,449,050,865,037,544,823,327,223,768,303,075,842,078,758,312,064,256,034,
953,410,609,744,790,933,444,796,985,545,529,163,432,014,027,679,679,848,436,
410,177,446,148,055,611,544,590,717,647,284,116,295,019,570,557,320,841,012,
139,570,061,655,306,283,814,276,042,124,513,221,899,266,158,859,493,852,174,
548,924,734,338,320,817,847,881,883,985,295,353,187,118,634,190,486,038,675,
194,978,314,174,321,354,737,974,491,696,153,486,852,292,289,333,858,454,034,
998,848,305,941,351,476,888,261,300,359,485,951,721,787,149,513,135,538,801,
078,385,016,580,253,713,834,783,873,116,463,141,291,946,466,910,755,171,931,
076,511,219,605,842,139,524,182,369,900,264,158,022,502,697,454,485,930,337,
725,826,626,552,482,327,692,517,281,528,013,264,706,937,944,414,715,284,946,
892,779,460,183,011,844,311,494,088,809,445,830,803,605,508,373,152,929,518,
751,609,699,633,483,450,944,904,331,747,923,320,648,423,928,506,463,210,809,
436,939,444,721,612,378,238,492,119,033,565,603,572,841,298,639,769,715,929,
173,528,934,803,016,266,072,581,901,397,937,199,147,209,727,364,679,512,717,
545,713,171,441,657,334,284,493,331,388,113,116,955,116,607,608,169,471,266,
642,664,915,056,771,297,771,638,406,101,618,539,563,928,891,615,434,691,784,
727,913,438,367,423,700,296,842,735,434,912,981,340,480,464,641,844,682,794,
209,344,825,861,849,727,970,819,128,660,831,571,135,902,223,420,523,252,764,
955,904,340,884,167,970,856,429,012,514,551,803,915,664,083,834,188,742,707,
338,104,398,834,906,297,076,248,479,425,335,249,811,178,689,933,706,224,226,
363,593,624,293,767,766,316,423,082,416,294,255,769,085,466,267,023,066,206,
140,726,381,766,089,981,651,964,845,419,347,775,813,259,970,281,209,655,319,
719,477,453,572,080,162,361,469,038,712,878,644,409,230,459,481,734,593,019,
969,379,713,196,635,249,150,383,199,737,796,341,488,601,678,174,477,535,053,
624,427,430,689,200,917,130,621,234,348,947,408,330,740,909,308,653,686,400,
496,409,001,451,329,926,519,536,184,857,223,548,015,179,650,058,554,922,280,
391,963,718,092,771,396,569,772,128,988,568,047,881,062,126,332,345,206,971,
637,543,915,222,760,493,048,212,468,638,571,256,861,708,931,321,577,508,694,
729,734,840,096,198,057,816,804,215,424,939,660,962,507,607,808,360,406,873,
309,015,249,567,025,428,733,759,121,895,516,736,271,868,470,634,299,501,719,
331,161,381,658,220,223,631,247,808,445,358,686,385,928,654,482,381,268,611,
873,604,910,984,253,382,660,850,648,476,712,628,994,043,540,221,027,883,630,
351,154,491,489,060,952,912,223,798,109,519,141,690,257,439,311,894,192,597,
812,629,465,695,409,476,980,323,371,075,800,689,817,492,593,564,881,723,372,
306,072,412,582,286,588,975,751,036,041,127,920,714,084,846,914,720,687,972,
692,648,247,856,535,754,950,722,100,921,458,604,187,614,992,987,274,866,323,
753,707,623,036,745,166,217,931,106,586,216,253,076,998,423,358,149,922,305,
597,475,012,275,689,207,208,136,310,360,311,517,005,721,182,452,324,012,805,
601,526,611,473,484,897,099,841,207,454,755,563,010,696,208,294,260,746,492,
996,636,769,308,781,953,477,247,832,913,753,546,523,192,342,599,470,180,205,
489,876,026,909,698,605,317,622,139,539,419,507,558,609,565,828,501,264,618,
671,679,615,507,807,899,033,663,078,708,171,540,324,011,528,653,259,634,738,
361,882,423,416,719,546,677,885,925,553,899,508,879,012,001,214,291,526,058,
629,242,709,156,838,866,868,502,992,193,803,850,559,841,830,580,731,723,626,
725,020,203,543,997,647,964,771,822,835,640,674,671,360,505,987,758,904,879,
918,364,536,209,548,781,283,697,782,905,681,726,774,987,517,667,840,134,621,
296,463,778,478,942,783,541,323,790,789,112,650,858,009,881,629,279,532,170,
142,904,623,858,628,359,333,007,607,954,231,679,348,569,919,101,617,179,547,
015,827,874,003,085,762,645,820,302,700,961,722,979,676,330,324,312,611,903,
178,700,166,850,360,522,845,005,899,209,183,438,851,210,782,266,908,542,878,
939,769,328,441,751,926,510,429,027,670,075,090,716,034,144,403,120,973,708,
425,379,696,099,209,383,409,098,433,556,230,956,248,576,099,693,771,782,379,
198,119,365,623,086,913,341,178,862,959,994,792,149,923,997,390,171,769,286,
801,906,277,995,276,137,309,320,576,090,167,533,409,928,990,947,596,666,197,
907,922,701,373,157,460,787,553,216,020,262,189,803,323,037,331,942,477,759,
509,919,100,016,322,462,395,558,451,232,276,097,468,828,038,459,876,499,936,
774,738,044,044,933,414,875,773,974,328,327,464,255,492,902,016,562,306,588,
877,550,254,690,322,258,470,289,122,050,710,727,482,942,395,570,146,546,364,
743,134,111,763,710,111,542,771,575,912,228,884,207,871,316,264,469,598,371,
022,707,737,009,048,313,930,185,278,678,413,282,686,651,475,795,387,016,629,
087,625,887,409,971,950,975,793,165,832,257,272,659,052,874,699,527,700,111,
168,588,300,855,563,773,861,664,570,660,982,646,563,092,500,750,031,755,765,
632,005,097,304,496,128,074,123,802,298,361,004,082,497,412,459,324,257,105,
226,023,458,805,720,657,445,048,677,873,898,860,558,628,007,640,587,199,161,
104,187,377,545,396,195,248,681,920,826,024,439,973,833,297,023,119,366,740,
466,878,074,265,494,660,784,433,225,559,446,680,509,826,990,110,984,673,532,
099,572,341,750,799,906,552,069,695,964,161,836,454,826,877,530,095,531,063,
121,898,750,894,866,600,092,246,834,226,780,007,835,476,509,415,361,071,725,
558,075,576,037,064,216,921,107,732,876,759,861,585,144,582,548,164,962,377,
460,699,450,397,605,115,536,057,650,867,236,773,610,978,770,423,672,269,990,
065,673,443,366,714,352,166,174,806,671,096,847,714,747,934,284,069,213,155,
959,372,435,917,285,375,177,038,007,327,036,484,893,610,754,383,527,073,200,
369,404,990,837,483,857,411,542,687,325,035,905,945,840,400,757,548,861,510,
772,707,287,605,728,374,224,305,317,302,044,217,377,421,049,246,514,841,185,
729,483,065,518,010,400,918,580,864,959,496,569,028,898,551,340,593,416,115,
221,526,930,473,842,134,983,000,005,265,927,405,342,914,185,937,850,189,531,
873,599,025,774,092,665,521,647,905,342,969,118,722,647,962,192,678,783,760,
896,920,403,969,167,555,780,909,646,864,604,817,844,936,136,336,400,217,120,
148,073,701,663,182,575,853,814,859,875,947,096,535,741,491,989,436,923,947,
065,374,968,586,593,958,831,890,621,812,383,973,252,689,822,158,923,027,695,
492,377,827,738,511,084,400,212,309,248,103,798,168,229,674,927,746,976,383,
407,128,738,995,160,038,746,970,665,649,595,207,472,738,420,280,808,579,818,
353,574,603,698,340,332,155,249,728,842,852,640,687,669,769,596,671,303,425,
878,014,408,447,686,917,738,386,863,769,947,486,566,213,867,973,180,729,857,
813,689,217,989,400,735,808,662,633,792,725,101,103,375,878,657,125,870,124,
748,692,468,771,924,401,412,914,594,858,917,289,926,859,311,310,833,201,303,
216,974,137,439,319,758,224,752,332,633,416,008,223,200,548,297,249,185,158,
909,844,128,729,859,620,967,081,741,182,564,336,252,283,585,699,119,845,760,
367,962,124,692,419,557,066,962,010,382,419,679,486,527,978,741,022,325,377,
491,920,573,497,093,684,543,821,039,235,149,174,625,422,177,571,387,134,089,
328,765,953,944,029,441,954,138,199,218,583,771,492,576,521,755,764,252,570,
645,712,586,171,031,691,923,483,730,273,815,437,206,846,657,313,133,325,120,
639,696,781,537,074,429,340,880,004,222,948,178,505,324,595,171,247,180,563,
972,867,689,806,788,366,640,621,780,758,218,077,456,553,252,548,149,901,063,
859,658,029,197,754,404,227,398,541,386,794,860,982,043,246,500,726,157,601,
171,808,268,553,305,243,003,026,391,370,816,152,659,404,273,978,607,717,855,
139,219,426,443,864,627,095,715,345,736,852,631,412,138,981,908,816,743,070,
193,246,247,423,102,832,417,510,051,759,065,987,803,785,052,535,409,249,861,
502,447,396,462,606,455,072,055,837,261,112,795,821,199,879,505,007,525,125,
018,746,832,846,991,532,536,399,319,373,108,783,939,031,120,888,282,341,882,
924,626,963,051,467,307,991,740,071,246,238,138,031,984,593,867,686,715,742,
173,455,925,466,993,361,530,583,057,344,427,901,446,406,180,964,082,054,631,
932,217,487,709,113,464,218,606,251,150,755,750,868,258,313,619,963,440,998,
332,098,281,880,160,827,153,637,641,801,777,835,566,241,918,930,845,674,862,
414,571,661,536,355,427,982,757,060,915,317,274,593,662,014,325,108,928,351,
205,449,428,565,327,976,173,797,966,857,227,913,661,059,486,070,640,797,823,
105,763,402,666,133,483,877,285,270,827,898,154,895,910,041,198,636,550,117,
566,905,591,072,790,377,082,675,427,388,042,980,784,941,644,034,917,903,965,
092,752,097,027,959,420,569,697,420,176,671,749,584,172,260,718,790,690,248,
779,558,135,074,355,672,021,621,867,914,736,057,013,671,601,670,734,097,221,
241,371,432,784,720,684,695,607,550,377,898,347,856,745,454,087,331,299,162,
850,081,608,669,318,243,814,046,195,260,847,873,819,726,922,733,378,270,093,
637,814,056,638,590,452,316,169,230,708,555,907,723,353,550,818,058,648,422,
000,767,836,259,184,378,114,795,640,953,227,145,444,419,265,912,488,781,754,
829,686,420,706,548,468,441,137,759,453,905,222,527,314,759,533,877,160,873,
919,141,807,392,479,954,825,930,882,372,220,850,450,736,073,985,050,127,795,
879,569,328,709,388,448,974,760,008,234,279,854,445,267,427,951,747,327,782,
890,648,420,065,582,468,548,309,878,267,073,471,113,801,874,798,936,043,087,
569,630,685,065,452,931,444,693,053,163,790,930,991,543,943,373,080,902,535,
869,269,734,892,949,207,024,365,887,011,992,392,164,890,298,418,356,779,927,
071,032,100,403,586,683,674,376,575,227,401,632,521,719,802,240,152,271,878,
428,828,948,591,731,748,041,260,445,868,667,005,161,288,161,301,273,505,920,
717,807,502,205,255,590,991,316,464,026,339,622,757,964,328,825,498,769,806,
268,149,791,438,304,511,765,378,639,129,624,229,665,071,433,943,574,210,026,
067,980,652,719,385,600,732,498,918,837,252,183,790,586,173,914,214,074,289,
834,664,927,823,966,092,270,274,723,369,219,194,241,572,978,459,362,677,136,
305,542,599,495,571,299,199,571,711,469,452,784,724,453,923,280,092,677,875,
946,956,885,983,029,538,817,973,188,267,817,358,232,332,274,898,452,014,073,
358,377,490,806,508,580,304,555,667,945,483,595,123,909,889,572,991,173,494,
338,156,782,911,017,668,296,636,035,142,914,503,826,755,455,314,623,319,375,
988,875,061,469,806,286,251,457,897,564,304,043,445,531,073,292,083,296,275,
590,793,359,917,552,393,788,150,076,794,679,217,842,170,254,106,856,268,716,
147,967,778,826,854,159,685,525,176,984,460,277,141,148,092,028,353,524,956,
555,784,992,063,997,743,068,441,606,204,019,134,339,794,465,775,333,480,450,
551,717,469,018,837,691,310,747,946,334,437,376,889,535,515,285,033,662,126,
104,705,772,491,796,535,732,195,522,997,434,294,942,552,880,618,060,287,152,
170,981,091,967,491,453,148,027,670,167,003,905,361,449,608,249,158,456,418,
702,501,186,911,875,830,445,743,615,876,867,776,263,520,782,370,475,712,214,
832,215,416,390,307,547,313,571,638,036,573,645,522,295,869,429,994,501,510,
012,518,908,920,457,065,756,059,493,253,159,632,272,891,496,483,144,368,250,
157,176,225,392,263,185,459,725,290,321,665,289,359,882,384,643,358,259,031,
613,465,206,731,410,280,749,902,830,566,471,056,144,619,967,470,157,604,134,
595,048,749,127,935,287,947,786,926,156,851,021,205,405,888,836,497,652,446,
217,214,632,285,785,335,222,292,147,818,073,281,380,779,997,178,713,648,531,
595,361,541,194,739,415,741,675,208,733,093,833,968,642,089,488,068,642,165,
853,722,360,701,720,552,135,885,807,932,427,993,707,083,008,431,475,523,300,
245,862,344,675,648,240,902,423,331,579,421,265,208,567,260,585,528,546,356,
841,443,507,961,992,596,037,532,445,250,924,881,998,281,312,270,444,856,212,
783,966,559,610,014,130,821,052,752,808,196,150,406,858,770,713,124,307,732,
976,364,171,645,071,832,855,057,942,843,043,321,377,486,003,998,789,913,308,
367,224,689,963,121,405,539,467,101,619,520,553,781,973,132,264,735,103,183,
710,836,590,781,404,532,286,235,259,266,011,104,283,910,250,075,104,807,176,
044,828,500,081,176,341,023,075,119,737,075,239,387,837,565,102,280,363,400,
242,467,799,549,161,397,622,098,500,637,713,395,255,733,237,855,791,848,164,
114,571,958,197,974,589,704,789,949,981,195,447,149,022,746,161,654,879,621,
457,887,687,111,150,787,143,574,675,328,053,398,459,439,169,512,387,172,724,
401,903,307,609,985,149,945,754,026,251,611,851,980,360,675,802,878,240,187,
609,327,956,174,391,706,708,170,053,852,749,520,236,132,356,356,021,783,877,
470,493,377,888,835,576,909,209,510,681,883,208,462,205,407,389,971,640,976,
211,432,518,978,394,859,946,992,314,930,265,945,857,057,466,928,035,753,873,
462,212,766,003,338,972,537,829,673,389,105,935,002,109,275,362,852,918,369,
141,776,905,314,769,685,845,449,339,667,236,929,144,682,761,280,106,944,431,
087,372,432,802,988,956,188,132,824,527,573,483,840,028,737,559,068,331,482,
138,662,359,114,795,270,506,469,139,183,692,105,589,638,306,604,621,881,808,
861,517,403,167,026,643,954,320,611,704,186,009,090,952,694,265,324,180,331,
008,228,681,823,598,893,134,954,098,586,076,121,284,440,085,656,020,908,981,
836,826,956,430,686,920,093,165,877,903,045,560,604,056,948,242,973,838,937,
442,559,126,361,990,338,050,381,810,672,854,865,472,328,832,649,851,396,455,
067,640,533,138,990,700,758,617,633,207,206,671,274,493,939,077,059,801,780,
351,856,492,432,182,706,937,700,180,074,938,458,179,705,300,871,425,841,816,
170,651,444,215,995,816,476,248,011,117,926,197,837,603,855,310,245,775,450,
935,379,058,037,930,180,388,146,721,942,924,414,561,108,192,323,917,058,046,
978,427,850,013,698,723,502,698,692,166,543,483,866,761,203,416,301,440,872,
201,525,561,721,197,900,725,626,635,302,216,747,673,675,006,827,092,891,639,
923,611,818,603,787,589,585,977,584,721,856,508,506,741,760,667,600,227,197,
586,707,756,304,998,979,253,986,949,187,431,396,011,528,372,389,913,053,774,
449,915,158,828,439,042,417,264,381,927,683,020,131,260,474,798,832,789,849,
896,031,062,521,432,371,914,093,233,661,416,983,800,150,715,928,213,286,891,
449,523,847,631,065,496,570,753,049,348,529,053,346,833,258,711,211,832,131,
821,748,890,186,614,512,341,703,381,049,794,993,796,397,469,705,286,330,403,
698,403,324,826,369,360,816,881,627,941,044,718,200,979,255,178,428,358,807,
640,225,596,200,287,032,999,615,724,112,986,660,308,547,665,727,185,438,867,
936,424,010,939,062,575,135,118,703,694,390,169,436,225,814,569,191,085,391,
767,788,974,760,101,879,223,656,553,580,560,802,570,541,732,830,385,371,340,
426,835,083,556,307,745,601,680,794,506,759,817,130,893,452,337,496,337,735,
684,922,586,480,477,749,274,749,896,669,911,939,231,692,527,803,745,942,652,
740,679,183,449,771,042,395,264,452,222,926,651,775,578,825,440,972,507,939,
952,266,302,685,302,493,878,610,064,000,642,072,907,701,702,654,237,352,835,
345,948,826,099,746,592,834,336,816,411,073,598,933,275,917,817,862,636,361,
849,515,373,471,432,072,908,038,091,434,593,211,688,316,568,170,304,387,326,
019,033,597,522,813,602,420,870,143,167,002,777,654,726,715,298,389,146,610,
447,304,262,010,699,211,936,286,494,973,105,003,909,125,438,040,888,055,105,
110,175,004,186,060,509,630,056,242,870,471,615,202,354,254,442,756,672,916,
325,788,424,292,713,695,777,985,238,221,220,649,420,932,546,519,291,787,026,
855,409,577,715,165,764,743,095,932,024,852,149,232,139,546,085,767,247,567,
353,121,335,561,739,033,124,647,253,526,159,778,910,968,528,879,936,463,951,
975,372,055,794,157,132,048,001,676,135,954,202,341,000,140,716,907,002,417,
432,044,781,779,761,015,961,012,936,031,677,368,875,070,749,373,183,428,136,
172,014,249,564,730,014,488,412,515,656,465,234,658,090,309,634,007,987,088,
756,941,780,075,477,230,669,779,392,828,048,205,574,164,438,079,713,499,708,
161,435,078,937,282,258,348,915,086,704,791,847,820,199,902,689,589,110,787,
700,187,296,735,019,556,295,309,487,491,391,714,063,525,435,261,883,834,153,
823,808,283,021,226,594,444,656,725,811,540,248,521,944,366,062,281,512,962,
081,073,520,646,504,066,445,005,937,824,721,888,902,709,099,322,126,088,397,
710,518,460,177,843,052,782,825,062,760,744,543,517,019,773,043,632,069,503,
039,029,417,048,919,405,822,821,271,328,170,957,736,767,992,772,981,148,083,
668,179,442,140,104,176,084,674,296,053,095,515,568,340,440,707,307,311,863,
646,446,444,160,429,592,307,451,219,379,074,468,099,053,191,120,068,187,772,
570,196,606,853,429,024,808,902,019,487,340,726,553,149,019,818,094,856,534,
930,971,587,896,833,113,012,954,475,759,275,326,276,668,072,337,942,879,878,
016,520,741,138,940,717,818,103,434,442,691,154,901,964,410,820,472,033,327,
278,184,301,457,385,425,053,706,634,861,587,017,391,258,571,826,029,181,571,
929,054,948,738,583,575,844,815,958,854,213,400,198,032,145,546,105,786,798,
232,000,860,546,302,737,757,707,031,269,754,345,462,423,185,139,655,122,754,
790,624,189,437,194,094,729,320,200,233,042,925,163,575,796,090,613,659,054,
155,943,565,279,888,673,943,164,714,246,472,520,815,864,654,343,766,565,428,
241,692,393,936,365,945,556,912,270,550,628,679,232,441,802,749,059,668,029,
644,476,362,356,448,806,282,902,122,641,885,490,578,710,119,039,131,298,201,
736,623,229,571,372,847,576,114,408,620,285,278,688,221,096,405,513,717,066,
459,534,738,527,499,879,305,651,473,215,435,486,422,015,900,141,388,256,650,
354,012,111,547,784,870,266,701,446,119,672,254,993,780,208,664,572,770,518,
742,412,980,177,612,518,538,436,480,618,352,210,922,891,928,065,957,961,712,
181,152,963,527,393,505,559,072,891,839,457,314,620,669,437,675,059,028,906,
890,188,969,033,762,548,501,334,712,826,204,910,415,164,557,014,400,149,293,
505,093,679,466,805,230,697,613,233,913,119,229,699,374,508,695,426,424,345,
070,186,784,828,710,963,083,035,095,947,162,349,330,576,329,172,520,974,353,
659,768,554,015,789,228,725,336,020,575,805,163,938,070,813,417,772,110,618,
599,345,941,870,264,353,768,083,791,546,127,723,035,979,342,030,803,470,985,
679,831,582,326,665,660,629,172,047,124,279,838,555,061,862,882,850,120,049,
150,650,317,685,309,560,218,987,456,576,947,689,243,078,161,029,607,299,710,
287,593,883,277,844,093,336,475,461,103,331,665,661,336,859,075,312,836,718,
168,699,231,620,032,185,036,305,253,691,682,580,056,270,108,471,260,552,248,
539,957,139,122,347,444,933,547,883,844,047,249,836,759,328,675,195,424,099,
316,625,076,124,055,603,632,428,529,502,575,250,692,260,697,515,826,702,043,
822,280,671,549,390,630,419,034,994,097,451,233,211,491,372,069,193,119,507,
042,066,547,375,458,180,459,821,722,648,154,840,373,986,275,912,716,228,204,
753,541,634,798,299,498,166,378,471,110,015,639,329,758,394,559,439,790,428,
898,647,452,085,399,251,949,369,255,517,642,120,528,239,630,773,391,084,992,
871,090,450,269,750,992,746,380,951,605,303,430,972,813,379,372,959,489,897,
527,080,106,076,820,715,759,725,507,090,294,995,260,341,608,100,208,547,879,
462,441,735,308,130,162,195,842,896,242,869,757,552,985,632,764,134,001,507,
846,414,723,414,670,493,125,956,053,459,203,898,244,033,829,256,578,944,617,
876,070,701,945,741,538,689,334,549,252,849,442,416,317,923,877,799,581,085,
840,308,438,488,308,140,397,010,326,457,721,164,773,132,899,274,511,048,682,
891,767,737,330,354,631,569,682,266,592,784,384,862,601,820,989,311,033,383,
841,751,291,618,019,409,198,313,097,348,100,359,394,031,339,463,495,553,608,
459,261,550,981,452,694,550,262,889,458,854,108,584,910,104,875,891,602,977,
886,122,529,521,828,560,969,808,279,798,059,709,555,686,811,654,335,946,959,
641,984,412,758,907,091,066,121,632,641,592,687,479,356,283,585,228,546,849,
213,932,352,057,378,815,555,114,212,474,684,504,814,385,946,570,890,737,234,
076,503,216,135,030,608,024,711,441,037,765,021,305,187,369,762,721,247,251,
319,016,473,244,814,310,952,675,581,642,813,631,805,454,510,830,866,439,409,
787,175,066,012,089,234,665,324,090,669,439,576,566,733,491,674,243,670,656,
058,382,872,120,107,667,001,550,178,314,479,825,520,617,374,156,729,359,349,
108,963,749,476,933,613,119,759,574,881,846,900,032,927,971,087,793,203,257,
793,721,129,310,167,171,853,364,946,012,290,158,102,253,164,417,812,814,431,
882,314,356,523,850,440,223,757,070,159,830,815,359,616,311,333,807,144,116,
312,696,948,280,550,403,296,805,640,643,374,331,008,398,624,656,116,414,408,
736,830,529,669,583,930,168,085,600,882,984,761,251,686,820,808,038,897,426,
782,385,392,471,830,306,141,899,532,238,797,651,112,280,213,544,927,551,729,
066,056,891,746,399,692,755,984,855,202,847,645,565,188,834,327,195,453,563,
594,797,339,377,014,659,240,886,489,476,790,976,325,388,111,108,134,724,778,
355,923,686,118,877,487,116,625,521,469,004,878,988,346,588,558,845,547,120,
122,892,170,678,359,803,232,017,725,081,809,082,705,121,823,448,451,440,793,
127,973,333,484,812,597,052,036,458,246,878,034,728,297,788,670,252,318,690,
152,809,963,616,432,536,679,780,896,232,809,356,617,748,777,889,939,836,787,
675,003,079,166,412,180,222,696,795,256,103,350,956,591,830,937,995,332,819,
225,542,691,580,451,027,596,647,109,158,145,575,077,739,090,707,198,702,912,
888,244,311,799,737,670,420,428,543,513,647,836,886,604,144,766,479,059,801,
774,412,941,326,720,889,183,906,051,549,818,484,631,123,974,273,657,468,957,
241,046,414,984,451,719,176,129,385,613,713,894,483,406,408,737,585,241,025,
615,992,040,151,144,946,746,058,387,491,703,170,585,159,199,505,721,503,508,
926,468,037,293,320,168,863,366,357,328,450,058,372,644,921,960,946,586,311,
251,351,874,802,272,169,362,715,093,954,987,080,096,407,158,901,732,591,873,
138,318,126,158,080,669,019,302,208,439,996,061,282,720,524,398,270,858,800,
336,464,461,216,048,015,820,671,116,151,445,448,433,073,078,974,589,618,805,
635,444,377,981,573,838,773,412,612,682,806,387,426,385,536,588,232,602,673,
628,703,468,648,062,305,678,989,851,080,735,743,280,922,533,301,321,412,930,
728,384,963,905,991,967,355,782,410,319,409,385,288,225,606,857,592,860,179,
188,301,940,274,537,667,272,035,512,613,531,067,438,046,082,518,080,087,016,
671,714,428,288,292,479,297,051,556,166,926,574,035,320,085,840,049,055,743,
420,065,247,941,790,239,925,438,929,775,018,963,056,346,710,351,988,181,386,
901,599,131,803,921,501,107,020,569,190,147,833,835,475,093,795,212,231,524,
493,206,588,966,237,439,570,775,627,986,443,672,413,048,743,065,917,659,066,
790,359,991,348,600,337,119,267,672,207,245,328,728,169,761,840,569,512,612,
477,623,024,602,120,562,530,585,830,581,594,822,077,032,812,944,147,992,115,
448,673,153,695,125,662,855,697,694,898,460,457,154,738,507,933,419,432,324,
439,437,204,040,886,240,854,778,410,936,979,913,499,364,409,655,175,959,202,
714,034,969,660,841,795,417,404,304,870,536,512,529,460,512,141,147,802,425,
359,912,528,871,538,401,794,719,830,101,499,646,969,235,197,057,423,117,290,
803,457,503,491,162,840,725,230,078,587,272,519,544,736,574,469,438,598,225,
327,108,654,023,660,550,921,588,163,479,772,248,664,024,078,547,019,551,623,
732,839,610,374,507,600,238,893,656,416,253,489,562,508,001,302,040,786,385,
945,082,386,641,902,574,964,414,248,513,614,408,073,677,925,788,377,861,699,
489,488,920,681,743,863,016,822,831,799,859,858,046,927,401,441,974,484,684,
548,598,467,572,600,201,840,315,776,417,708,487,975,690,053,713,213,337,265,
455,259,622,810,516,971,583,892,731,860,133,580,510,782,769,079,853,218,778,
647,008,038,390,215,094,163,391,424,514,200,805,299,511,333,879,287,034,719,
210,809,635,859,831,409,986,009,097,449,866,650,851,107,596,456,129,554,914,
896,544,346,690,496,539,308,130,455,470,430,481,398,015,817,244,691,031,098,
842,946,824,157,888,302,911,191,787,084,926,303,777,744,479,346,487,852,456,
549,804,128,903,174,516,272,771,262,570,896,730,389,053,772,586,628,725,180,
674,390,980,632,907,603,875,002,524,403,346,506,023,908,944,415,542,446,838,
431,682,783,636,050,680,165,377,257,929,531,240,422,589,799,505,701,577,900,
676,701,439,797,593,923,730,595,643,820,976,993,795,992,274,429,543,895,193,
378,217,170,036,810,610,410,974,413,911,195,642,398,289,128,995,180,474,042,
094,892,328,028,177,270,735,996,438,770,529,209,791,722,001,920,921,855,947,
091,946,918,423,057,081,362,456,352,802,568,129,761,019,425,511,619,679,193,
732,965,405,901,359,242,532,850,965,487,116,160,606,046,376,857,956,675,536,
400,459,199,960,818,453,353,870,942,612,445,483,589,112,540,036,025,185,130,
255,190,982,347,223,024,532,238,783,550,038,357,639,708,627,672,974,112,443,
327,269,894,021,154,259,404,615,492,132,055,052,720,854,563,857,743,084,904,
883,345,801,024,203,546,226,324,039,991,492,748,063,949,116,050,655,243,176,
727,174,269,127,116,309,973,079,770,352,596,598,445,275,892,295,991,572,349,
800,949,404,872,231,227,483,909,045,840,431,258,536,750,491,244,435,289,198,
158,212,264,973,476,036,590,272,358,124,354,101,809,889,238,605,855,119,405,
161,205,782,262,357,912,017,066,790,045,931,380,322,673,510,767,597,875,733,
996,614,691,857,207,775,611,804,197,407,983,876,396,270,201,708,054,835,762,
384,373,632,101,539,356,183,912,106,658,664,462,579,404,505,320,327,300,938,
246,333,740,134,224,371,394,328,660,061,749,693,053,962,686,222,344,055,798,
934,881,081,920,519,520,099,397,789,827,629,919,256,084,098,535,441,132,146,
603,298,617,849,950,347,373,297,650,050,668,451,654,511,950,551,374,877,342,
456,542,230,902,067,825,480,350,341,476,609,606,747,501,113,433,619,715,792,
052,885,323,819,433,700,550,191,918,196,733,259,936,584,321,685,527,223,237,
982,767,327,215,876,692,515,725,209,046,088,197,183,648,345,323,453,020,419,
610,670,702,519,705,149,550,062,234,354,689,929,873,599,016,260,678,042,586,
480,794,826,261,901,297,032,475,677,275,301,970,536,935,565,252,349,164,037,
112,293,752,354,542,655,190,519,799,446,610,207,633,391,305,220,468,786,586,
045,016,181,165,632,098,675,309,372,731,459,036,431,556,269,904,254,757,872,
857,669,915,033,806,943,739,069,922,903,831,216,981,250,375,452,849,350,007,
881,532,211,945,106,302,456,981,537,659,608,814,986,418,455,742,315,488,962,
752,207,689,423,106,687,744,298,195,532,225,527,830,617,739,019,331,655,356,
489,030,486,785,629,244,860,594,122,950,025,081,872,224,810,237,047,174,650,
903,578,725,850,650,048,948,293,968,809,815,662,678,825,421,290,621,811,007,
480,017,367,978,713,696,630,120,073,750,096,582,926,340,130,374,553,132,739,
055,240,402,670,411,539,579,829,706,336,064,769,933,111,588,075,800,595,855,
627,657,131,689,893,785,201,927,456,167,417,801,415,663,295,274,193,220,905,
324,232,897,045,281,257,498,862,797,359,821,968,218,824,433,262,108,045,509,
868,460,992,939,584,055,659,255,556,403,581,660,475,630,739,308,571,276,640,
498,445,982,775,654,947,388,169,129,955,312,645,996,897,373,919,329,592,574,
157,369,705,156,460,132,178,339,614,070,021,492,855,921,311,409,867,991,709,
456,059,219,448,202,116,142,389,340,508,103,788,150,275,168,369,322,665,827,
835,737,005,836,837,061,922,589,316,924,687,269,206,285,442,777,243,261,989,
597,945,098,468,222,422,304,357,754,336,651,627,278,923,344,319,957,804,368,
030,270,924,461,223,196,983,569,163,924,510,261,744,803,760,872,619,379,945,
536,170,743,074,637,623,222,938,397,061,685,958,989,988,970,921,703,989,961,
849,690,196,082,656,336,975,056,560,714,575,621,850,316,942,355,320,304,411,
569,920,867,022,213,054,141,644,574,378,727,339,302,104,084,734,331,736,025,
590,482,823,450,375,559,703,006,338,888,716,315,731,110,092,360,417,504,210,
463,366,660,981,147,700,868,555,830,679,648,199,781,808,726,624,325,407,869,
641,047,553,246,870,865,744,456,557,571,266,561,061,904,002,179,551,728,679,
294,072,713,892,101,270,116,268,037,712,787,114,374,775,873,795,662,548,279,
168,830,003,376,998,726,923,440,241,730,552,713,391,001,038,961,820,326,937,
313,071,949,078,336,662,665,249,725,674,836,230,396,666,800,389,824,605,564,
204,455,552,574,748,043,841,948,923,417,697,273,210,939,339,908,554,256,378,
812,217,717,102,286,816,110,717,064,359,959,648,251,787,637,393,233,823,608,
128,812,817,752,971,077,773,292,414,348,844,405,755,635,462,189,683,926,250,
639,891,247,513,247,750,466,172,908,696,475,121,103,578,370,222,437,752,418,
540,968,641,921,481,644,217,496,194,998,943,925,081,520,699,904,404,888,828,
913,128,746,056,216,563,803,583,236,991,890,460,721,025,460,186,182,962,043,
594,582,093,285,870,302,041,900,696,483,415,102,767,289,943,182,726,035,989,
509,405,314,099,826,030,602,378,126,944,846,551,793,081,304,961,763,476,502,
764,388,517,418,323,032,732,201,919,004,946,576,763,801,401,239,199,820,777,
235,511,424,287,310,514,900,071,163,236,267,131,149,841,093,177,197,130,101,
433,723,434,409,856,758,180,178,891,004,711,820,244,877,476,476,563,595,464,
714,718,165,254,018,200,574,429,810,330,802,769,611,356,657,181,687,450,464,
996,404,489,353,119,742,751,394,453,776,092,429,065,226,621,543,999,608,624,
788,287,315,829,653,621,636,667,762,147,246,656,204,045,577,338,241,340,080,
382,679,509,646,477,363,163,456,297,436,579,949,956,732,627,384,835,505,849,
599,244,076,835,155,113,313,922,851,442,733,278,716,392,866,241,882,093,355,
797,870,572,408,958,114,685,695,575,236,628,145,180,483,598,877,841,139,711,
054,295,455,190,782,227,114,841,993,473,238,277,564,414,364,143,806,124,231,
807,313,612,837,155,661,629,886,168,170,766,960,292,376,422,380,552,528,984,
496,893,519,790,123,987,689,261,403,797,684,349,566,797,962,331,458,772,874,
998,338,202,455,306,833,779,248,573,001,345,604,419,109,113,987,379,582,082,
429,001,647,468,118,387,114,536,659,979,662,301,423,185,141,009,355,140,652,
281,367,470,448,903,900,039,732,106,731,146,134,813,229,538,959,848,679,255,
797,003,094,471,654,793,851,076,581,449,564,193,464,558,036,008,363,365,628,
859,116,419,821,841,287,391,863,354,588,808,835,755,959,684,006,392,911,480,
774,659,831,750,092,241,606,437,467,732,211,471,627,524,374,402,740,263,662,
867,024,450,930,167,822,962,067,411,717,218,068,390,072,824,108,412,594,728,
732,662,863,458,069,244,469,549,223,503,673,840,760,459,082,407,460,878,582,
271,205,266,015,651,890,108,681,821,361,631,026,675,737,286,602,699,285,346,
530,285,473,496,981,402,377,667,677,474,600,576,955,748,751,651,420,801,381,
282,473,592,795,954,355,882,590,870,797,425,972,293,172,368,483,766,574,973,
235,321,421,105,099,442,029,459,324,041,858,383,744,112,043,307,029,305,335,
674,416,050,069,569,214,936,107,669,407,176,956,194,583,826,823,892,930,644,
753,310,805,644,081,596,328,235,595,010,802,043,022,619,919,730,164,637,296,
680,853,513,942,945,031,630,232,023,489,267,325,738,920,103,449,734,370,691,
040,681,799,973,604,771,735,792,385,769,706,922,105,999,963,150,256,011,461,
319,833,593,348,246,626,052,895,899,905,271,018,835,634,323,537,876,394,965,
499,569,054,660,201,153,512,539,764,844,921,935,261,450,904,608,692,091,527,
840,762,714,779,529,469,925,264,310,513,357,219,842,405,322,184,594,678,214,
738,016,745,192,592,107,808,565,978,032,024,426,563,942,508,182,934,953,546,
207,564,890,214,788,823,945,793,583,914,533,968,786,169,730,186,594,465,844,
305,708,234,106,240,549,155,665,818,712,323,433,644,606,798,972,550,632,797,
679,409,200,134,192,802,926,554,290,179,676,749,633,997,634,195,365,260,583,
632,415,844,168,987,690,606,923,192,457,387,074,804,220,076,578,788,418,343,
939,195,138,317,635,546,832,067,119,831,744,971,969,315,885,889,373,291,089,
387,375,759,219,101,322,745,409,757,959,722,399,852,542,695,327,135,337,174,
786,287,622,397,487,604,369,254,769,141,511,506,534,341,098,735,544,500,229,
254,128,097,615,966,877,786,471,860,967,007,648,239,080,868,216,402,685,360,
682,193,132,591,093,934,886,776,246,221,717,875,731,672,547,275,705,909,666,
154,507,580,271,764,967,410,928,537,594,914,252,913,922,055,013,200,819,569,
610,829,860,318,875,994,460,188,106,819,419,788,679,833,480,957,611,689,358,
082,205,123,147,068,741,613,947,012,066,084,871,060,101,334,798,491,478,595,
736,686,109,974,981,998,613,093,803,160,636,701,632,870,365,732,854,282,647,
382,206,765,447,321,331,111,540,281,599,372,095,782,115,414,173,292,639,356,
144,395,661,580,278,385,225,175,321,143,642,106,780,348,120,550,498,794,355,
417,546,065,621,361,709,601,078,477,164,760,339,089,504,842,650,113,776,935,
133,358,768,964,538,774,570,594,523,913,356,930,311,576,539,640,559,763,707,
580,333,036,466,385,171,482,045,778,804,356,552,928,780,823,598,122,784,449,
228,857,268,436,878,882,395,615,847,153,425,503,132,931,905,813,421,632,295,
414,034,870,131,950,322,188,580,175,327,560,479,389,648,610,194,176,938,665,
723,504,431,347,610,541,031,853,160,314,174,576,961,193,079,412,238,953,175,
862,006,172,998,108,271,354,773,070,160,567,605,614,577,163,571,704,379,826,
522,083,410,229,632,372,682,706,781,224,459,916,942,091,497,190,076,975,579,
438,581,982,568,667,768,177,121,342,582,426,895,803,838,639,346,534,314,846,
031,085,898,595,227,086,138,802,189,327,434,973,757,668,595,485,881,114,796,
903,206,172,973,329,607,683,732,325,953,113,109,015,235,777,852,195,844,338,
160,977,308,044,790,800,608,693,489,069,853,692,352,130,232,458,029,740,518,
243,727,634,369,907,863,320,863,392,359,979,252,986,143,091,000,789,924,145,
045,626,022,953,472,885,635,269,795,712,061,345,659,080,934,958,710,709,885,
630,066,339,355,779,156,592,911,567,751,480,306,967,403,900,116,559,954,671,
479,305,995,856,831,096,269,481,231,284,919,209,312,942,255,241,240,624,636,
700,653,336,335,538,427,095,607,470,009,675,143,083,346,792,385,151,297,540,
937,208,723,510,218,648,732,114,260,054,349,349,952,081,034,017,920,492,937,
809,811,489,130,565,538,089,148,981,742,176,924,749,407,075,249,706,279,912,
740,994,511,468,995,484,474,734,781,484,495,585,714,956,320,392,964,743,261,
238,596,760,804,292,865,384,845,530,488,169,151,027,645,904,538,949,730,946,
422,529,314,221,035,105,715,716,805,114,730,294,673,300,775,105,361,551,695,
448,812,653,247,807,175,367,842,865,946,729,286,903,272,306,007,376,765,358,
018,334,641,618,661,374,386,643,145,536,832,292,509,648,839,933,367,705,475,
979,631,637,934,775,995,544,841,664,206,899,336,590,084,240,827,097,748,567,
256,102,292,648,741,039,608,998,546,495,243,685,633,231,787,526,956,459,830,
949,010,520,245,259,240,043,743,763,937,561,961,807,903,604,159,776,338,383,
079,605,922,643,271,912,235,253,082,926,522,644,974,690,648,282,892,151,739,
948,738,484,959,791,473,568,582,900,511,707,798,919,569,976,456,191,186,729,
451,753,532,109,316,073,853,969,485,074,845,415,143,304,657,198,229,640,608,
240,762,381,978,119,774,085,006,452,224,205,878,936,198,907,822,495,375,797,
192,954,628,437,623,530,325,231,171,000,385,674,342,923,487,709,925,871,648,
925,238,057,403,679,367,472,154,108,167,878,190,743,835,963,831,789,334,370,
272,620,123,806,559,935,105,813,652,176,670,725,876,212,644,017,254,816,757,
764,543,728,036,805,006,013,780,449,162,767,473,997,016,120,862,837,787,771,
148,922,678,097,661,385,389,541,031,630,728,932,894,257,333,927,292,560,443,
537,074,833,493,239,099,105,659,496,851,277,647,167,087,395,727,239,991,314,
673,157,728,742,268,226,734,357,282,340,173,075,120,163,240,992,935,956,759,
906,690,716,074,381,050,747,453,696,172,424,495,687,372,550,493,340,866,711,
326,664,820,241,025,846,832,933,922,899,830,917,713,528,206,193,538,583,926,
227,465,876,458,095,169,220,465,999,032,865,582,656,472,866,184,749,597,147,
252,590,844,470,908,124,095,136,213,887,847,836,639,932,512,176,638,382,604,
680,574,047,762,617,969,942,983,195,459,245,482,498,706,634,838,265,880,001,
710,137,461,486,772,680,892,064,078,020,959,808,407,736,998,159,385,797,536,
935,755,204,092,890,236,771,899,909,914,898,229,939,573,726,668,289,979,164,
524,070,292,455,883,501,075,791,141,139,533,071,695,351,396,907,410,948,724,
615,305,792,776,570,303,689,724,669,234,982,024,233,405,646,684,538,168,858,
440,838,868,194,835,840,229,824,013,380,977,320,853,941,444,159,699,175,604,
811,618,111,271,679,103,107,068,388,008,305,316,329,354,001,736,305,918,807,
600,866,164,272,384,498,134,528,297,379,377,424,835,523,324,048,157,845,113,
892,690,193,317,266,578,331,397,009,692,710,718,811,995,021,850,380,784,114,
332,989,862,234,349,116,497,924,604,563,782,176,102,247,596,684,645,334,584,
180,656,365,971,816,710,158,384,362,943,819,869,701,003,485,277,688,760,428,
246,484,505,877,464,186,966,994,423,266,959,277,106,630,611,585,193,765,542,
303,234,892,248,309,999,165,977,737,516,231,077,112,824,833,509,800,861,710,
814,278,313,350,294,751,607,176,556,355,236,645,685,472,920,897,966,670,481,
737,910,715,386,880,972,086,319,788,795,496,660,232,024,803,941,888,597,481,
809,980,379,219,019,726,878,263,780,976,094,352,236,681,125,709,617,454,026,
919,817,868,955,233,810,717,602,604,304,476,830,529,301,443,172,646,636,346,
840,758,764,598,986,363,459,656,104,960,068,375,448,141,199,428,754,758,615,
379,536,571,306,111,169,498,127,463,291,204,014,182,765,172,212,265,114,381,
002,048,119,103,758,816,912,677,765,201,050,135,945,800,154,371,524,964,859,
320,530,438,017,237,222,492,952,622,180,465,123,740,727,212,554,050,393,937,
888,900,197,231,060,747,840,905,888,314,625,061,824,569,549,770,770,200,514,
987,018,876,830,287,536,360,874,216,065,475,441,097,654,088,793,421,385,012,
850,811,880,764,317,956,074,013,295,555,807,793,888,251,026,785,752,170,348,
526,194,819,167,940,325,881,520,917,838,598,527,305,951,992,732,411,204,715,
982,960,999,444,969,617,124,337,864,642,111,500,380,502,793,159,499,570,202,
887,902,163,276,401,321,960,586,497,980,094,362,500,847,541,475,165,956,638,
959,724,419,668,158,913,778,477,230,817,696,659,295,562,523,612,153,310,146,
760,784,542,965,222,718,637,623,160,498,567,271,022,423,094,402,074,184,607,
077,163,465,991,582,491,005,382,310,499,608,536,425,580,767,023,143,779,501,
556,314,811,881,869,414,839,591,905,094,001,093,204,456,548,157,481,083,981,
864,163,466,733,391,458,329,414,996,306,040,237,861,629,411,409,333,580,488,
373,672,562,219,215,614,273,420,454,245,452,444,619,072,888,348,497,877,594,
695,678,141,081,408,715,432,102,644,504,377,580,743,520,599,116,352,051,205,
526,922,333,784,287,433,963,376,017,611,694,633,946,563,815,083,789,518,974,
290,942,589,500,657,350,268,729,404,888,562,521,844,284,245,367,246,894,840,
085,585,962,347,190,226,304,740,470,356,509,074,239,544,389,274,475,771,319,
928,086,269,670,860,591,256,457,292,950,092,300,522,253,895,771,588,503,837,
044,987,590,764,614,094,406,635,417,118,009,111,908,648,153,443,407,589,320,
688,412,182,802,975,993,675,122,592,864,442,454,688,444,509,877,172,868,061,
072,552,107,380,677,534,014,124,867,430,077,488,374,765,217,717,597,184,110,
489,460,508,126,220,186,778,808,501,834,073,572,246,778,561,394,209,018,393,
490,129,305,038,583,021,119,407,366,079,071,611,071,685,730,271,432,037,899,
441,763,487,781,572,269,920,989,321,907,356,747,361,934,627,678,487,835,261,
135,396,639,008,221,529,178,313,363,688,398,937,897,214,123,978,508,532,223,
085,534,169,370,956,509,159,980,354,842,884,623,404,086,227,697,105,991,233,
072,574,202,328,460,145,464,922,626,021,702,087,406,635,391,747,916,634,426,
572,801,758,852,160,627,878,534,283,314,873,575,583,903,520,153,339,009,273,
685,086,569,070,257,077,231,571,447,171,521,341,740,299,117,467,922,202,065,
397,619,854,316,857,426,238,210,108,111,489,452,645,001,172,653,770,530,419,
079,704,023,730,534,416,937,498,669,911,572,338,316,942,465,437,015,177,514,
044,754,906,888,733,257,440,285,200,378,690,993,885,035,692,947,699,008,042,
883,094,729,837,788,437,505,057,640,555,430,951,012,565,530,129,465,333,386,
330,536,991,833,833,177,967,298,861,695,201,670,715,688,144,185,565,014,244,
498,546,594,029,251,119,675,905,478,965,171,230,498,979,436,516,275,633,831,
904,784,908,061,840,048,509,595,181,799,638,928,729,980,943,566,167,119,754,
802,547,528,146,156,733,679,975,684,155,347,165,336,679,208,783,413,414,184,
402,839,860,355,672,012,351,407,549,468,907,061,067,288,897,853,597,913,215,
620,733,563,659,176,915,306,957,232,357,186,841,065,835,417,955,248,843,869,
871,584,321,951,844,462,374,112,698,268,758,123,325,477,889,613,980,223,536,
016,192,739,597,835,596,273,897,578,086,340,958,713,199,590,656,010,068,815,
673,861,124,701,354,436,217,105,757,011,706,401,348,472,574,324,033,097,358,
522,585,297,385,928,912,265,695,379,847,664,577,006,067,616,097,322,285,784,
612,911,710,179,244,406,559,964,488,090,215,415,237,037,466,970,335,341,700,
557,038,771,559,773,940,444,489,932,596,746,005,202,086,857,889,078,456,634,
124,522,683,779,848,635,663,194,583,656,196,249,151,503,961,226,625,176,950,
063,920,896,004,452,148,417,054,910,114,192,322,918,420,896,105,313,429,005,
027,845,568,847,016,879,099,215,408,945,234,862,597,378,385,945,251,980,319,
948,907,955,822,581,980,938,482,016,420,060,658,778,095,541,725,747,576,242,
157,333,228,001,931,055,116,180,438,644,904,683,810,126,767,591,464,496,059,
866,802,931,435,814,839,735,634,077,062,494,954,075,283,974,091,172,684,689,
700,030,805,149,562,068,447,322,750,356,910,177,090,810,112,755,647,264,795,
578,247,610,403,516,132,885,879,495,162,235,874,819,315,193,080,604,976,118,
728,357,445,207,580,881,712,691,026,570,428,752,682,932,122,589,631,938,547,
666,132,078,695,727,993,256,943,465,412,870,813,133,639,505,773,436,960,102,
522,726,497,425,171,261,330,092,494,838,174,179,977,427,100,001,781,602,535,
190,291,237,881,192,681,495,369,945,693,472,160,442,325,700,863,265,139,409,
795,643,374,399,219,876,829,651,558,201,901,469,798,101,211,994,541,996,239,
123,543,741,709,805,982,805,309,634,894,267,656,450,613,292,588,474,628,494,
494,037,130,569,061,502,801,243,197,249,633,964,206,969,240,202,741,778,663,
865,510,868,308,453,818,827,388,533,420,927,537,444,815,039,565,392,852,839,
517,734,508,544,982,265,474,379,765,356,910,693,215,932,323,677,811,453,725,
150,184,507,989,991,731,099,687,670,238,109,786,893,284,835,063,281,574,299,
590,335,211,763,139,396,021,192,464,097,828,836,011,649,156,552,605,906,485,
331,418,329,541,999,045,802,531,136,841,225,526,869,643,840,642,905,652,626,
456,920,975,726,094,718,588,236,476,935,718,402,768,838,156,258,213,290,107,
532,740,993,367,976,507,242,729,142,493,137,183,917,495,848,562,262,356,897,
115,245,787,862,583,781,150,409,007,320,290,518,920,599,246,108,761,992,873,
672,692,902,315,026,716,497,015,918,229,180,975,917,324,912,282,622,556,424,
875,655,508,492,041,304,863,059,639,601,374,989,604,427,657,021,703,264,406,
440,037,915,254,739,264,596,515,024,090,479,772,133,063,163,158,369,831,946,
370,649,473,469,251,093,571,429,507,793,142,050,202,642,349,459,332,456,743,
748,707,183,245,356,425,028,304,483,068,796,090,199,503,402,295,733,993,770,
497,983,032,259,109,034,751,535,226,382,837,266,071,544,135,648,482,932,881,
999,864,230,092,188,693,206,164,338,897,182,311,210,435,512,493,990,004,712,
799,924,689,155,561,179,109,437,871,357,462,084,959,534,502,602,623,703,806,
180,670,213,891,210,065,915,220,072,417,250,337,886,272,673,849,536,485,223,
320,280,905,603,126,832,572,204,940,430,881,483,200,710,823,726,303,590,026,
700,066,184,800,077,372,718,067,270,206,622,063,993,170,351,025,804,110,352,
530,029,833,388,329,570,665,962,078,820,091,534,039,828,070,341,849,712,125,
051,948,725,144,215,595,083,434,601,571,337,725,566,801,345,724,558,942,584,
815,542,133,169,687,002,604,977,964,363,418,110,720,353,500,719,076,310,581,
251,665,363,329,356,830,561,484,136,216,476,334,281,649,103,130,682,462,185,
118,918,983,046,500,645,072,052,686,696,596,236,767,248,158,908,045,276,338,
150,908,271,109,490,321,790,732,006,367,369,656,537,181,956,533,645,914,663,
599,532,688,634,383,168,024,302,427,272,611,197,417,207,447,662,930,125,384,
823,633,836,006,415,380,581,837,049,068,575,406,500,088,843,028,585,633,417,
040,573,587,754,440,421,632,161,906,044,274,499,467,964,751,170,342,913,932,
870,778,824,281,200,703,726,395,787,476,491,123,272,888,201,640,209,412,920,
269,596,479,548,582,686,132,173,710,243,570,283,346,425,126,536,277,289,675,
946,043,047,287,375,393,719,727,727,029,132,141,368,486,531,820,647,473,126,
911,161,577,685,044,743,057,080,367,134,643,931,053,341,368,410,023,755,495,
430,480,002,856,972,858,114,023,511,768,274,124,920,272,391,791,172,946,600,
796,472,961,746,242,921,152,154,149,739,114,927,660,121,848,467,293,829,286,
798,516,650,609,861,707,574,175,679,177,000,097,672,102,208,789,010,509,810,
501,996,705,771,209,662,307,287,585,105,894,965,812,010,363,623,065,831,496,
866,363,538,536,166,547,478,846,778,528,058,145,964,173,027,081,404,008,921,
066,687,283,274,251,171,962,654,632,489,689,555,646,128,218,995,696,492,911,
379,825,231,265,094,746,578,609,625,353,975,552,620,066,970,491,074,190,058,
156,042,724,778,733,155,255,612,694,779,564,893,378,215,367,450,844,767,594,
794,957,439,868,754,468,425,828,892,261,036,766,276,970,134,057,913,460,839,
541,889,387,209,051,911,697,500,128,872,459,442,745,605,888,830,946,130,442,
626,380,894,578,151,174,975,074,347,093,363,514,084,383,078,029,455,708,658,
454,251,630,246,951,452,709,008,505,937,530,199,568,471,499,845,429,781,316,
596,514,582,948,648,740,853,288,584,789,262,674,922,765,130,255,977,721,872,
254,113,638,537,241,121,469,535,310,775,022,294,780,342,253,669,876,412,351,
769,849,541,511,635,080,669,818,929,721,230,238,126,369,212,584,468,085,245,
620,649,830,823,426,551,176,723,601,436,882,825,910,462,218,164,182,019,010,
316,656,131,739,461,801,637,440,761,244,338,898,482,963,408,280,214,811,660,
254,993,049,521,498,845,393,891,587,357,101,383,048,773,255,126,230,068,552,
953,988,725,939,547,371,064,379,932,393,320,629,343,910,613,731,287,371,220,
706,118,542,213,548,667,551,282,995,315,025,960,479,473,295,802,947,862,006,
989,185,509,771,227,771,724,598,135,915,059,278,098,228,335,052,507,145,131,
381,922,420,254,967,722,105,110,325,725,271,111,450,021,493,199,968,586,321,
672,234,669,333,883,259,228,115,031,552,753,359,846,225,439,559,384,209,008,
829,570,568,963,426,117,730,155,854,035,404,965,974,658,551,228,010,289,235,
425,702,441,232,230,233,652,655,778,508,390,355,400,219,003,281,498,490,352,
745,556,153,372,306,929,833,729,159,816,614,196,074,177,798,369,402,171,955,
852,286,720,363,139,253,706,113,203,956,611,673,872,706,461,383,371,502,501,
976,449,839,823,180,898,408,850,261,191,174,382,625,587,129,636,133,476,368,
040,802,674,938,230,425,187,829,337,105,405,374,260,015,474,674,063,690,859,
190,082,343,424,091,382,347,919,370,111,291,458,638,352,248,362,627,394,138,
637,268,108,343,581,824,293,402,482,610,713,156,682,753,940,299,378,680,744,
384,761,567,321,257,547,915,832,957,773,194,159,430,607,196,713,638,710,438,
589,028,778,968,525,222,608,522,487,186,637,050,031,336,263,673,026,249,745,
544,375,121,846,592,103,577,649,863,854,829,633,079,853,258,463,952,056,123,
777,891,566,376,784,929,821,673,708,649,143,387,101,073,796,562,404,249,418,
796,624,346,716,267,131,436,351,526,713,969,647,724,230,013,794,568,630,405,
564,927,293,132,852,640,016,686,411,450,368,954,753,783,377,695,114,128,239,
289,373,765,687,774,165,053,245,055,853,094,070,001,284,285,262,048,388,987,
952,002,787,192,672,401,379,506,199,696,779,566,531,498,733,001,293,476,086,
322,067,601,054,508,549,310,165,851,077,000,075,557,812,949,154,380,724,315,
854,573,462,761,018,675,447,412,533,821,952,381,737,434,623,276,559,704,376,
236,039,511,030,194,220,681,435,928,837,449,232,594,866,777,930,026,640,156,
363,802,930,136,684,278,824,509,044,605,489,310,948,602,672,954,160,645,189,
254,022,318,096,055,764,305,860,813,590,267,916,016,170,409,583,693,427,809,
585,781,713,434,187,431,635,737,312,947,290,146,830,569,163,262,435,448,970,
642,974,252,147,378,923,050,455,151,484,927,976,524,469,782,355,826,765,171,
404,695,860,746,860,752,737,115,999,629,430,881,297,801,161,950,973,254,675,
532,830,706,381,495,230,065,394,236,558,124,842,215,767,401,051,339,550,552,
364,485,007,316,553,094,128,483,538,498,432,879,796,379,685,378,408,230,573,
226,434,203,197,171,913,958,594,726,719,993,724,787,030,156,819,232,783,616,
077,096,713,329,572,613,022,256,960,637,330,036,498,774,736,567,483,772,681,
901,470,038,411,697,091,798,928,026,998,432,901,479,354,777,432,445,572,815,
431,380,367,055,756,144,416,106,606,606,701,174,635,078,677,782,916,795,712,
824,885,920,673,131,671,388,463,840,710,830,057,113,111,483,038,304,723,155,
654,787,002,218,064,657,119,625,305,685,604,310,316,068,597,030,004,155,593,
744,326,059,672,215,860,770,863,347,630,075,778,436,201,461,286,840,672,775,
452,620,668,715,483,018,106,066,548,288,471,155,988,488,160,293,581,965,375,
285,407,731,334,148,241,523,608,236,592,149,617,439,995,170,332,709,903,074,
746,628,782,769,893,640,675,053,300,097,550,443,963,649,994,889,507,367,434,
287,625,123,737,470,261,722,917,221,077,434,173,209,782,072,560,818,113,986,
104,399,476,192,816,562,633,624,963,485,163,681,814,770,408,783,174,930,934,
868,189,373,306,048,800,017,169,353,760,164,038,340,427,077,734,993,110,894,
001,631,093,318,186,816,746,970,201,684,246,087,695,572,622,319,483,171,451,
197,693,995,264,544,929,410,928,104,338,314,490,059,169,958,543,863,306,230,
349,206,070,056,086,838,026,067,531,038,664,943,139,256,472,120,019,263,964,
207,538,602,058,594,005,524,273,801,528,299,201,220,810,560,867,642,924,404,
421,696,260,249,446,786,662,874,912,457,371,924,643,253,619,289,537,446,778,
591,451,698,615,109,883,572,207,364,099,683,528,104,743,011,543,857,404,216,
929,936,674,893,902,511,331,072,645,363,267,004,522,872,455,839,765,125,229,
915,343,353,303,616,835,777,946,816,770,901,280,982,054,607,067,211,595,842,
316,066,065,139,314,747,788,633,812,567,623,614,950,945,738,390,536,096,159,
112,717,425,392,455,556,576,342,090,237,330,137,586,512,460,337,084,636,597,
145,442,589,958,921,254,858,666,228,255,888,093,931,161,034,510,549,110,726,
839,618,611,495,113,804,932,233,760,178,601,663,344,174,786,549,555,677,839,
387,768,955,712,183,914,579,589,079,623,581,076,028,067,755,760,343,165,541,
260,851,489,420,739,507,425,117,188,670,915,106,811,757,718,251,958,967,536,
671,822,668,436,629,537,825,072,596,682,615,061,815,394,888,489,112,277,610,
453,374,610,121,133,473,872,509,383,097,327,225,698,926,813,291,835,895,803,
166,254,856,755,150,131,812,974,613,463,657,531,520,647,832,602,050,816,960,
854,210,252,095,586,619,038,183,370,111,708,894,916,418,288,330,820,456,581,
324,702,808,043,853,953,315,111,050,606,907,878,129,501,389,292,760,654,238,
441,209,090,190,190,683,021,272,199,364,003,102,254,311,796,318,819,504,262,
376,238,413,854,891,476,126,493,536,790,475,948,412,312,683,822,083,261,439,
114,862,605,679,044,602,309,483,507,856,629,603,483,590,293,999,975,764,849,
808,939,930,411,738,230,877,550,455,626,645,016,917,419,872,030,568,102,071,
285,229,815,226,472,772,626,101,986,260,874,663,559,044,697,718,575,012,799,
410,012,229,373,218,615,634,806,955,773,653,458,191,119,048,184,713,421,436,
369,005,944,673,722,766,429,826,049,607,908,949,244,119,990,929,132,779,283,
135,850,344,734,375,961,380,479,526,479,693,544,168,324,168,591,121,278,485,
217,737,734,799,775,033,069,958,969,945,156,970,135,497,696,330,554,267,234,
185,983,178,038,314,882,169,006,207,530,420,134,104,574,402,992,133,489,999,
859,299,939,636,652,232,664,928,347,117,174,515,362,347,169,125,780,209,498,
154,839,013,935,913,468,148,194,277,084,346,787,980,970,760,392,367,002,837,
484,551,332,722,475,553,769,938,006,072,487,310,228,014,130,301,301,877,726,
008,861,362,788,364,901,678,589,443,456,984,020,235,473,759,349,500,734,974,
241,845,037,261,393,215,776,717,088,489,925,009,870,739,559,347,696,897,285,
805,069,977,046,933,500,472,845,943,660,127,854,810,883,001,363,836,077,227,
807,407,299,642,104,061,718,544,591,547,701,081,450,212,873,584,630,927,249,
433,903,597,920,969,518,442,364,587,429,888,120,065,244,137,774,745,911,116,
180,953,533,548,790,116,273,274,257,764,996,706,771,221,277,195,540,909,228,
468,889,480,099,473,889,376,838,227,934,614,658,232,138,280,310,324,721,561,
331,267,483,405,543,769,256,545,858,887,818,104,983,732,031,081,020,092,009,
242,096,435,053,634,141,707,698,328,885,803,259,709,404,569,646,790,536,755,
773,361,123,833,865,004,289,723,966,117,221,171,444,455,938,693,241,999,761,
312,351,237,485,579,078,268,344,631,270,881,643,926,830,604,556,458,867,414,
303,973,203,731,338,950,281,293,899,182,390,351,390,165,695,770,172,046,433,
202,545,399,509,111,449,510,671,886,629,008,353,902,194,124,576,320,176,734,
070,108,254,689,011,022,932,932,086,183,133,960,809,969,434,370,196,240,438,
762,417,046,116,846,127,368,512,881,110,337,142,648,936,738,138,698,907,851,
937,447,691,105,373,228,506,039,266,988,638,631,398,151,243,666,434,048,962,
980,500,718,136,309,959,732,824,885,277,487,223,415,735,581,722,249,538,387,
488,621,210,951,011,203,797,081,686,603,883,205,064,774,140,431,331,977,134,
161,190,305,838,989,195,516,379,081,213,063,014,789,478,627,500,352,294,806,
915,221,991,036,328,949,462,725,456,094,362,802,524,104,323,253,441,771,627,
375,110,945,102,186,863,665,070,280,347,022,474,036,784,486,527,881,578,033,
763,806,216,173,838,779,436,245,589,018,293,158,302,200,868,104,673,865,908,
743,312,436,799,997,320,381,209,662,325,098,883,866,619,262,026,506,113,958,
791,090,580,758,463,501,847,166,591,829,441,118,604,391,743,351,795,687,190,
150,717,845,692,529,551,797,670,770,636,053,491,343,323,769,488,072,008,105,
690,583,426,734,233,253,150,580,612,262,958,947,702,136,046,531,768,186,483,
170,866,820,810,943,237,975,245,734,574,296,814,411,607,020,243,345,213,803,
170,393,840,849,971,489,492,770,890,950,471,834,955,445,583,166,368,055,290,
704,890,254,641,092,298,167,834,189,549,024,057,124,880,831,633,410,547,714,
022,561,282,195,743,966,541,857,687,259,061,008,265,697,616,021,442,402,815,
104,711,106,011,026,669,908,070,242,296,437,800,788,129,420,768,877,616,743,
990,310,997,504,005,587,647,927,390,739,884,936,917,643,880,619,073,180,637,
451,263,323,620,877,295,786,143,022,533,014,702,023,932,395,746,639,888,637,
530,301,898,413,751,252,757,244,819,260,558,702,304,737,001,893,759,449,685,
533,845,534,495,136,380,332,920,140,715,425,892,389,688,994,446,045,938,448,
791,360,390,183,735,724,196,603,435,900,823,684,171,877,745,221,440,453,911,
696,003,239,996,993,106,009,783,597,027,718,366,926,534,803,818,127,328,886,
077,202,661,462,297,138,909,859,643,048,910,006,727,637,271,660,316,699,901,
276,720,238,305,241,973,704,194,356,591,670,710,048,888,152,064,757,825,479,
082,090,910,220,958,389,955,084,155,643,901,115,313,354,957,467,402,652,759,
648,807,299,332,215,825,439,053,268,816,202,789,505,437,275,241,819,605,651,
531,275,765,571,827,422,281,963,738,467,415,555,356,901,936,455,164,109,114,
864,755,386,884,536,966,169,594,693,041,742,774,943,983,176,030,950,363,773,
978,335,959,919,803,398,074,296,730,944,038,753,675,875,669,882,675,617,087,
108,488,199,826,668,106,715,155,594,331,762,000,545,960,603,141,873,564,845,
694,679,398,455,235,204,728,456,242,978,145,151,737,406,298,162,578,149,173,
586,010,159,120,123,583,164,437,031,707,622,018,817,026,062,317,254,093,989,
981,309,673,078,750,523,187,809,043,690,737,103,281,296,882,895,608,570,059,
368,036,785,451,870,301,738,844,618,532,615,334,042,970,890,342,290,775,945,
939,814,218,547,095,622,490,086,955,853,256,827,452,004,227,746,083,464,853,
976,110,237,541,813,629,569,211,155,903,989,905,328,425,935,354,469,482,277,
562,425,412,050,613,846,021,134,116,547,638,438,213,424,029,505,076,816,486,
538,466,385,827,039,606,129,728,461,606,679,514,943,000,806,180,544,743,159,
181,850,214,102,669,215,944,033,337,970,081,911,647,970,916,457,920,055,464,
869,921,836,148,183,483,802,386,196,106,714,223,215,194,585,289,121,619,440,
114,792,752,403,742,974,654,291,813,459,786,593,725,715,877,080,829,574,186,
212,436,432,868,945,699,367,453,431,252,157,224,038,488,459,892,048,090,084,
196,740,178,796,442,949,106,202,182,660,635,236,364,792,237,819,799,793,408,
341,880,525,994,123,475,640,609,898,021,545,255,568,838,929,830,504,347,941,
406,066,752,858,619,869,493,194,631,226,875,027,127,488,828,757,310,381,613,
833,931,971,240,818,937,246,830,843,816,099,098,995,656,702,650,897,083,411,
014,350,481,289,301,673,322,576,572,341,107,490,821,960,717,367,220,817,895,
779,367,404,184,064,807,080,361,739,920,839,725,488,618,214,463,957,483,535,
106,581,279,069,878,757,704,472,734,123,594,265,788,952,425,746,608,916,378,
995,850,071,008,302,997,055,766,947,529,931,874,559,663,901,839,201,834,851,
482,964,504,014,200,410,373,037,812,116,267,268,209,262,290,789,598,241,674,
325,652,894,401,805,363,532,078,609,661,634,500,329,194,533,876,706,112,581,
204,951,889,005,923,997,743,054,162,218,819,614,896,635,324,986,895,642,871,
491,540,056,343,359,050,733,055,337,870,841,081,746,945,166,651,550,957,806,
648,090,480,000,844,698,619,256,246,962,855,235,981,879,996,061,955,978,964,
581,664,730,404,375,735,806,765,296,273,888,374,835,282,412,239,169,905,318,
815,646,191,788,300,441,471,008,074,797,969,882,794,297,446,090,964,734,090,
298,488,682,215,549,317,300,191,157,963,951,074,894,985,420,420,599,538,250,
868,464,884,419,376,594,021,953,849,773,868,086,175,088,470,653,665,345,618,
121,283,510,478,447,467,088,155,186,137,543,325,513,947,704,329,774,903,030,
522,868,406,811,017,194,898,158,620,096,432,894,297,072,381,821,920,542,434,
690,896,140,067,051,605,090,473,916,777,692,654,555,148,639,984,862,013,240,
049,851,074,089,553,781,241,787,592,455,808,429,913,043,947,502,204,705,950,
206,648,175,705,224,509,465,504,918,460,076,823,343,411,375,529,485,467,823,
918,986,959,551,753,468,706,451,518,248,486,739,336,878,864,389,248,877,100,
146,599,978,152,616,463,712,257,733,553,213,531,773,449,321,096,245,236,915,
780,579,606,509,696,741,159,920,220,272,035,171,483,980,289,511,805,652,917,
446,085,040,839,476,269,092,615,770,377,008,943,405,191,190,042,727,563,298,
786,145,837,605,357,674,313,454,505,382,294,275,347,743,040,261,189,208,418,
054,665,685,191,647,309,930,103,137,778,159,067,532,173,584,851,110,345,592,
609,319,872,137,225,893,492,052,594,766,432,393,849,480,802,567,561,316,478,
758,138,615,555,930,706,312,713,152,793,663,954,062,002,485,380,159,100,623,
216,486,633,377,995,726,607,011,422,422,991,313,435,206,181,430,501,197,662,
843,589,547,005,729,133,983,433,657,279,816,082,973,281,569,487,958,517,661,
936,105,699,623,446,816,531,273,341,215,932,868,714,509,273,546,826,138,266,
703,086,115,733,376,769,830,471,215,772,836,396,091,142,213,570,857,495,297,
921,103,346,186,069,793,504,210,940,059,593,009,018,945,925,548,857,203,853,
263,835,343,216,431,883,720,692,524,484,068,861,180,015,765,822,413,214,481,
470,740,650,471,584,592,378,396,817,071,900,997,317,932,921,556,905,366,946,
447,152,547,619,623,232,092,114,050,529,424,228,463,364,610,730,689,995,678,
829,032,643,847,385,195,879,600,897,815,313,068,617,555,276,464,101,148,504,
222,106,629,033,199,680,846,285,136,369,556,438,468,318,510,089,610,987,336,
383,250,139,699,367,485,295,163,289,478,879,281,576,246,597,384,699,261,175,
686,700,544,563,193,656,870,366,103,669,029,825,739,812,756,138,603,103,920,
254,367,560,084,820,224,887,854,946,452,746,133,739,220,654,466,650,172,247,
517,739,090,460,822,340,566,273,003,178,241,709,627,236,722,163,449,641,719,
084,881,832,865,777,720,740,807,718,900,133,455,025,727,460,281,152,535,199,
168,421,680,146,288,593,858,347,966,995,580,971,647,970,828,141,852,861,166,
985,178,504,219,258,505,463,543,482,544,992,731,465,521,056,460,652,106,984,
407,139,952,070,687,737,529,766,160,804,851,099,715,466,798,948,469,965,194,
327,420,415,999,747,152,229,446,221,234,839,555,886,042,430,671,377,324,721,
253,980,340,163,482,681,626,880,458,408,220,360,762,530,262,498,737,146,643,
004,965,951,612,314,136,171,095,963,736,357,323,569,236,491,125,404,007,467,
058,999,162,658,223,207,482,507,398,280,790,409,696,498,488,521,230,332,200,
391,949,586,766,425,607,186,494,230,643,394,001,599,080,961,284,808,932,047,
431,099,450,653,349,956,997,359,890,243,827,680,339,102,186,371,867,513,270,
583,988,159,322,329,874,907,373,111,673,007,957,710,300,122,145,946,283,793,
707,543,699,772,024,811,822,685,610,035,889,396,345,686,272,695,587,585,146,
154,802,017,565,142,615,524,189,005,918,713,978,264,872,932,031,960,407,196,
813,061,678,050,885,778,359,400,040,937,391,619,726,300,711,157,083,865,846,
784,052,639,319,135,452,238,016,899,234,432,243,417,671,624,573,338,278,682,
155,463,113,281,091,157,756,719,000,555,822,440,713,490,992,723,027,315,117,
212,990,411,305,135,668,960,469,320,932,733,299,718,706,615,054,981,640,180,
801,746,772,840,682,663,633,135,008,937,382,506,903,316,593,507,291,551,527,
113,077,729,725,373,307,148,766,843,146,051,946,222,635,581,245,390,563,526,
377,069,129,937,907,747,444,480,503,842,936,323,237,585,296,969,725,477,881,
654,664,246,063,325,612,398,958,464,558,762,258,683,665,872,349,175,021,838,
550,212,702,831,591,732,022,212,887,815,186,765,786,015,371,918,782,362,422,
838,902,021,844,934,695,226,536,234,293,342,866,719,165,284,287,096,804,548,
316,214,227,221,657,722,243,442,792,079,649,065,357,404,099,481,311,781,957,
426,675,211,927,894,551,522,177,955,557,976,245,633,217,270,357,928,582,715,
977,916,239,224,865,455,187,156,313,206,187,656,998,482,669,709,812,602,277,
699,055,933,979,890,055,789,539,180,468,882,698,946,952,758,849,848,164,090,
050,529,999,566,042,785,282,232,775,215,349,168,998,996,038,530,665,137,604,
329,660,133,663,674,116,042,435,333,066,755,627,881,337,678,770,548,372,710,
927,933,431,971,095,887,635,848,811,064,511,386,508,191,206,399,005,873,670,
514,697,061,819,144,734,632,375,410,482,891,779,195,427,786,989,633,555,074,
764,653,585,390,151,940,341,350,926,868,669,901,984,885,639,908,066,858,345,
489,406,024,359,357,402,098,428,294,071,238,373,717,143,477,976,803,966,465,
268,935,490,544,047,255,312,262,935,703,127,800,697,273,371,186,099,793,780,
054,626,753,404,236,098,798,103,705,134,888,886,350,370,240,480,846,274,727,
358,917,043,334,997,104,101,461,552,010,811,584,954,956,824,577,983,707,830,
673,508,633,785,341,483,939,484,450,842,548,813,077,868,043,673,169,895,444,
214,998,257,047,366,613,888,439,760,477,009,781,865,222,142,486,304,301,862,
516,915,337,641,530,196,098,923,822,416,219,495,448,673,213,872,523,865,777,
167,522,480,291,478,895,449,530,666,253,428,963,463,260,561,924,098,739,824,
065,520,177,319,773,937,936,894,002,547,673,503,557,796,749,399,086,313,677,
088,591,500,471,669,258,854,133,815,036,731,906,651,269,765,845,750,665,964,
853,478,482,386,311,288,419,196,809,110,842,209,445,947,357,313,264,209,598,
450,247,817,038,098,107,362,213,060,282,501,065,654,577,329,576,120,450,361,
867,516,713,713,904,815,688,675,285,948,025,009,437,488,786,993,068,161,318,
773,108,322,149,958,287,448,131,502,918,037,290,395,503,137,401,087,454,898,
744,980,382,859,486,233,295,321,330,619,539,688,389,501,691,610,614,265,698,
065,948,192,181,916,701,733,504,056,830,470,824,466,798,095,113,171,612,386,
105,384,162,859,048,452,819,978,992,017,790,477,230,130,651,698,783,439,744,
940,873,717,803,888,915,375,723,735,768,713,338,093,679,772,217,130,062,490,
045,612,075,268,611,813,884,226,114,450,446,096,190,965,670,503,742,417,597,
324,344,221,223,784,439,393,905,074,880,104,810,657,059,186,681,281,129,151,
486,143,395,243,507,948,398,029,185,017,747,093,234,219,796,997,304,639,165,
774,675,258,440,639,059,981,099,709,645,163,617,787,013,943,393,090,905,409,
617,213,717,662,881,975,476,227,291,607,174,663,498,215,272,789,418,816,348,
360,495,426,891,873,361,682,422,346,300,799,250,597,420,371,990,496,788,874,
816,548,917,859,195,849,443,913,513,103,485,474,911,131,510,063,863,833,769,
546,957,228,659,895,676,345,002,995,731,541,698,604,891,505,220,082,186,561,
847,582,181,568,505,462,204,115,961,963,781,115,924,674,635,657,317,157,557,
750,825,676,715,521,368,300,936,870,592,527,383,512,159,932,504,906,483,812,
440,059,378,976,990,702,432,925,834,898,943,645,983,285,342,235,607,789,835,
648,374,965,457,227,655,831,099,543,260,928,859,816,191,412,439,036,297,809,
474,870,766,906,217,550,012,543,729,070,905,085,183,723,312,637,674,067,411,
788,218,110,731,476,294,879,026,394,386,331,710,104,838,577,346,209,798,394,
727,338,011,258,469,690,738,764,855,324,134,946,493,482,827,261,254,878,362,
961,109,969,188,101,389,511,326,813,266,266,073,959,974,017,997,562,232,542,
442,850,549,470,479,347,550,972,042,421,136,872,205,620,711,685,856,108,391,
704,994,485,618,610,861,945,297,948,976,077,637,556,558,905,913,870,040,030,
348,336,044,976,579,811,436,036,304,566,490,793,947,887,432,039,484,238,619,
794,475,713,712,718,571,959,647,057,047,215,817,068,765,086,454,200,625,406,
371,855,163,193,837,696,010,454,090,994,052,559,332,964,782,120,031,620,122,
711,429,451,964,918,347,846,254,137,193,770,292,775,154,212,983,478,948,772,
511,562,387,744,952,670,474,647,556,130,512,233,887,813,810,353,129,484,842,
027,634,562,803,667,919,211,012,723,323,124,013,413,561,703,094,811,521,035,
817,126,538,452,267,180,565,347,201,774,136,110,468,115,484,469,939,235,089,
103,256,251,931,246,784,528,055,768,006,396,342,464,556,021,400,574,277,003,
647,721,776,991,094,393,259,144,596,593,133,981,669,307,763,364,776,848,808,
495,864,140,899,122,111,475,689,898,696,360,857,979,473,271,217,249,782,801,
729,557,960,722,141,596,549,457,287,003,871,370,201,163,535,435,337,678,391,
045,676,977,263,459,872,239,229,162,401,852,570,952,722,094,363,119,938,913,
319,698,107,171,678,929,037,347,811,074,207,925,571,919,466,320,520,047,396,
982,820,011,633,855,857,229,992,469,503,214,998,049,575,822,148,829,279,143,
027,660,359,677,615,383,231,219,574,742,749,445,124,334,547,498,612,313,836,
211,305,486,565,631,856,858,375,813,002,849,079,237,294,081,977,891,196,478,
117,589,014,510,867,109,402,442,307,503,699,917,681,016,336,738,354,416,889,
020,606,054,889,002,335,912,798,960,828,591,715,593,044,847,148,200,506,154,
163,330,702,628,096,271,777,569,220,193,131,107,597,432,215,294,550,142,772,
579,464,416,144,013,078,037,323,845,805,531,912,335,419,067,075,196,797,446,
757,897,985,474,965,083,281,997,932,521,943,103,245,974,446,022,166,769,044,
488,097,435,481,044,922,009,459,881,640,740,768,782,531,423,414,343,527,882,
896,982,852,614,969,508,294,780,821,867,547,842,542,042,154,318,858,051,215,
799,445,855,715,690,945,216,405,243,751,183,841,997,676,580,942,028,127,298,
135,352,657,075,777,712,803,374,990,562,459,608,090,352,833,060,517,135,767,
143,583,131,115,813,114,674,093,291,950,232,474,155,348,836,719,443,743,123,
198,733,428,506,447,484,961,086,755,427,754,440,832,812,724,096,945,730,643,
609,859,294,910,838,363,939,720,520,651,700,557,240,536,830,858,304,941,001,
281,329,336,670,055,660,129,930,987,373,393,704,934,285,095,378,568,015,966,
220,552,807,730,489,524,303,227,124,709,628,224,801,671,457,996,894,125,077,
119,033,891,772,599,527,875,822,664,694,627,014,811,614,071,182,937,541,619,
053,821,250,873,592,530,491,687,264,691,589,504,542,485,548,857,780,673,086,
816,267,909,986,377,148,683,732,967,845,489,512,141,037,184,929,666,033,540,
249,802,589,900,404,764,300,766,116,564,747,182,618,116,990,906,942,863,845,
748,306,192,134,050,139,530,999,923,599,071,732,982,876,172,221,409,475,857,
843,676,183,359,944,070,323,748,657,261,361,185,257,374,548,807,493,997,132,
898,879,425,885,641,004,791,453,917,327,651,596,457,231,495,483,055,130,741,
366,613,623,170,000,281,727,275,635,811,759,409,401,221,662,661,371,847,336,
882,125,814,730,283,919,470,714,957,499,913,487,763,391,629,400,168,327,984,
763,653,900,722,804,998,528,807,679,562,918,884,779,402,667,399,205,295,969,
151,781,498,191,456,664,758,148,499,756,755,292,037,319,160,814,852,180,622,
880,624,762,638,059,614,371,760,648,823,744,665,752,097,176,821,225,550,122,
875,857,661,727,138,434,003,501,704,546,216,814,190,905,610,736,694,139,774,
859,019,844,501,346,305,608,903,978,641,635,450,710,356,560,155,405,423,801,
590,843,160,442,062,253,032,968,674,525,456,524,126,155,532,436,912,763,056,
034,737,695,674,920,936,544,096,541,719,611,435,388,535,623,105,589,787,191,
170,456,625,139,104,026,624,130,168,994,903,868,336,437,938,090,483,778,838,
416,949,782,242,594,804,763,904,309,287,372,243,735,632,680,379,810,702,773,
172,879,657,918,040,629,905,169,319,713,354,505,699,937,516,769,170,436,577,
622,574,746,062,753,875,251,384,356,838,377,732,767,833,049,435,915,414,165,
883,932,381,533,463,279,571,381,702,513,776,247,364,533,754,423,978,078,899,
995,309,867,492,886,403,385,662,951,857,147,763,808,727,111,482,202,113,256,
608,312,359,009,827,435,256,606,929,530,729,566,567,894,940,834,800,370,354,
207,953,765,074,876,618,085,612,908,234,217,127,462,501,152,106,666,394,379,
224,332,493,518,017,627,055,206,492,153,055,022,452,858,420,327,586,957,073,
558,952,388,044,010,714,788,760,436,403,886,122,830,861,668,964,755,408,322,
395,061,565,750,968,645,432,352,647,041,368,357,139,989,384,049,509,690,168,
447,614,487,155,266,548,030,581,463,751,834,135,357,765,024,226,170,738,074,
651,580,904,982,571,489,863,199,400,929,953,827,898,405,611,924,864,310,692,
487,672,409,284,496,787,388,761,799,849,320,220,306,216,880,842,336,982,207,
650,732,671,612,710,900,905,925,843,097,582,296,996,848,785,912,449,317,107,
342,268,421,108,431,041,670,739,191,168,542,797,284,951,952,911,001,206,712,
696,806,360,047,067,593,109,343,001,084,751,813,064,993,467,225,980,180,695,
796,674,040,965,354,748,796,455,655,035,355,028,168,899,654,000,057,057,842,
579,078,708,353,242,700,579,472,439,179,098,195,610,893,829,666,864,190,417,
453,506,149,280,176,627,266,328,214,707,517,188,125,569,229,726,329,201,190,
133,836,031,892,655,839,537,458,872,230,446,339,242,588,914,488,912,878,896,
855,041,250,742,575,215,749,258,114,154,462,015,665,374,719,795,325,762,346,
943,954,726,413,573,327,287,811,394,798,960,828,765,881,562,340,565,363,241,
941,155,092,826,194,683,664,795,218,856,024,182,602,783,961,051,723,161,099,
943,695,945,020,692,142,224,445,084,019,999,600,999,537,809,513,970,060,215,
181,313,420,457,178,746,216,875,851,682,456,878,231,178,762,713,498,008,823,
566,754,068,353,857,500,812,851,901,510,144,655,550,293,002,368,069,933,874,
598,404,693,706,553,185,993,137,323,240,617,239,372,395,482,473,739,251,089,
068,315,926,521,692,842,143,508,310,399,222,715,438,451,201,243,452,044,639,
094,481,263,415,569,363,690,323,662,030,448,479,140,803,605,273,314,974,666,
847,365,272,740,730,280,713,404,795,387,914,626,197,892,934,861,626,617,640,
001,089,448,088,423,835,483,673,875,846,539,916,183,145,096,131,603,640,389,
859,481,476,668,532,471,506,220,959,551,725,226,357,368,589,477,524,370,844,
760,449,449,350,741,913,218,826,146,856,878,348,822,514,630,059,213,387,664,
132,047,450,926,925,792,741,085,607,006,410,376,928,007,424,246,016,937,135,
683,094,485,137,982,113,163,175,025,766,073,703,804,669,998,587,752,945,974,
663,164,959,911,672,535,355,104,854,431,998,550,946,450,267,009,191,897,403,
011,225,096,727,048,034,252,507,301,248,309,619,659,990,305,320,155,139,979,
833,241,782,252,511,811,602,899,253,905,306,940,866,227,280,183,664,988,006,
333,748,274,822,210,692,306,751,720,568,423,063,374,076,160,670,481,984,845,
788,488,611,084,990,436,572,702,133,857,128,012,551,794,886,646,002,395,346,
693,172,724,730,779,716,280,107,019,641,098,629,587,743,040,809,122,266,032,
723,517,752,425,973,853,680,275,394,907,701,363,953,777,348,151,998,648,927,
659,052,803,696,595,320,268,950,076,940,386,693,740,931,876,313,448,089,455,
407,521,793,351,425,888,630,537,711,144,453,783,809,452,655,164,299,091,813,
586,911,708,409,722,633,317,825,847,448,065,323,631,947,491,953,582,293,850,
488,309,671,306,436,121,986,168,262,619,474,611,469,695,163,117,074,611,048,
709,643,902,333,928,114,299,784,177,000,449,754,340,335,749,373,385,075,371,
156,273,802,531,070,889,440,858,036,288,116,617,589,683,470,007,830,079,744,
096,268,852,777,954,102,495,362,833,707,150,375,387,107,835,865,890,679,564,
429,331,444,178,192,087,706,557,560,992,197,253,489,951,366,481,430,074,354,
335,328,479,206,466,869,843,761,511,188,638,102,243,858,018,801,704,340,757,
262,454,562,134,735,808,116,697,124,762,343,058,568,866,625,652,670,903,049,
843,994,660,809,969,103,014,169,937,610,035,114,237,937,405,804,220,948,834,
031,264,082,768,505,368,363,282,703,047,421,344,239,101,957,601,931,412,893,
930,141,805,873,262,184,396,609,479,025,000,463,082,570,673,267,366,536,560,
342,473,175,720,643,204,374,964,411,669,238,827,821,710,864,671,079,936,439,
367,595,154,056,691,983,436,367,652,798,308,699,629,667,486,071,575,804,867,
532,550,614,523,021,551,182,402,229,989,117,351,815,293,841,003,053,045,464,
601,960,802,016,705,571,604,430,219,748,899,620,030,984,774,518,456,798,692,
637,439,731,955,181,166,204,215,302,364,289,521,166,734,523,131,423,806,942,
581,921,007,649,843,961,306,265,398,963,103,143,030,241,692,529,611,737,442,
480,489,251,630,881,967,198,841,584,506,732,476,122,988,779,238,306,773,897,
170,492,994,298,402,948,889,206,652,137,287,975,397,287,407,263,101,336,558,
318,589,053,251,648,414,795,647,142,616,202,341,504,627,276,096,476,695,828,
110,871,234,863,889,994,055,048,748,882,019,844,132,191,336,527,198,282,007,
989,654,450,686,447,224,531,139,532,985,564,776,107,500,201,929,148,139,871,
138,073,150,421,239,709,911,977,487,880,320,957,351,569,941,396,522,310,763,
981,500,123,684,309,574,851,238,564,852,895,813,356,389,229,231,577,016,134,
897,065,174,988,857,423,248,570,486,029,346,550,084,154,511,658,956,350,002,
079,336,678,437,770,673,357,419,963,367,591,539,138,825,064,868,411,803,134,
599,452,510,203,206,423,252,990,704,700,806,769,645,543,256,763,611,660,523,
742,390,188,399,374,231,230,130,303,916,731,311,674,582,258,498,425,233,654,
720,780,820,284,589,967,342,327,140,366,803,248,264,346,611,625,831,204,366,
431,978,403,816,990,812,214,399,764,139,664,006,801,697,586,800,251,274,196,
566,296,733,032,683,922,379,945,567,616,581,757,643,893,346,889,796,170,907,
465,195,890,720,349,376,663,262,475,469,490,270,382,733,778,600,879,688,432,
164,709,391,281,603,397,757,770,395,222,281,225,275,630,698,462,076,400,016,
597,034,664,341,684,714,549,905,669,319,060,046,472,383,085,354,998,257,976,
766,056,879,951,226,086,929,997,481,420,796,140,260,583,123,673,777,816,281,
481,047,672,933,673,274,389,432,194,411,033,681,580,155,303,294,613,632,048,
586,493,787,969,832,511,421,771,744,987,920,097,122,665,429,897,456,920,797,
606,500,236,003,592,703,832,026,532,438,000,766,914,458,540,686,347,728,977,
124,348,966,743,395,717,021,136,823,138,150,640,296,351,685,140,566,749,617,
380,044,675,530,275,072,482,910,237,713,226,759,873,221,271,288,271,575,647,
845,422,008,618,145,891,284,492,713,403,985,268,027,449,143,087,472,337,212,
726,045,978,719,415,705,320,301,235,306,677,022,014,462,585,704,807,518,336,
034,501,309,310,305,125,558,932,537,054,633,757,086,089,049,582,079,811,747,
617,783,115,006,940,590,549,282,984,142,185,931,977,898,127,296,710,853,099,
185,991,489,463,003,650,074,698,793,383,513,326,050,633,846,105,794,225,980,
135,894,119,370,987,862,558,149,118,034,654,536,302,087,369,561,429,098,819,
961,812,614,867,009,475,893,790,460,367,581,026,388,231,413,922,499,624,217,
499,010,416,337,768,003,237,981,572,410,344,456,954,425,151,759,725,150,226,
865,494,508,078,915,732,033,513,846,714,104,397,800,539,951,049,088,840,059,
470,810,228,837,917,144,864,021,004,806,477,622,231,614,077,043,062,258,342,
944,168,512,106,457,966,886,448,307,486,305,004,155,735,933,616,240,795,107,
261,622,338,638,424,004,592,309,578,447,525,119,808,203,005,973,322,842,020,
313,761,652,755,731,070,956,926,269,591,778,201,638,127,304,416,770,148,033,
900,274,341,499,269,759,692,735,129,352,643,392,997,967,141,099,062,581,561,
400,489,375,747,177,231,126,240,739,613,786,233,676,280,143,071,939,207,637,
655,830,820,035,689,993,764,123,140,161,749,564,074,273,180,271,364,974,473,
059,430,128,121,344,674,014,195,868,126,718,045,664,493,261,419,327,636,951,
066,999,663,215,348,403,095,504,095,403,007,188,711,747,253,764,151,101,136,
201,177,265,790,777,955,366,945,813,575,044,140,090,519,300,828,826,799,439,
581,056,210,110,767,468,550,919,568,557,582,711,366,533,806,395,039,539,905,
857,223,726,166,133,599,162,907,974,385,878,666,826,400,983,703,660,979,325,
812,147,586,260,146,221,490,908,946,807,935,231,449,527,594,396,837,138,612,
521,246,383,432,350,604,513,573,883,192,528,128,526,937,423,185,903,814,792,
449,757,507,417,978,145,354,067,926,277,971,956,758,752,686,090,790,106,672,
693,812,859,711,774,301,087,415,504,518,354,753,703,112,583,111,867,505,621,
212,743,177,959,780,246,078,731,492,961,321,570,911,249,158,721,815,620,042,
528,861,595,425,151,545,607,983,841,776,862,038,354,538,633,885,016,705,930,
827,964,988,257,323,865,903,656,889,361,021,082,075,378,138,062,834,535,258,
855,370,097,186,525,217,803,334,043,669,418,856,636,333,250,182,617,520,591,
956,873,949,077,833,208,909,498,855,299,158,293,656,216,909,668,422,340,269,
448,254,104,957,088,451,510,689,063,284,982,648,996,094,954,053,175,794,127,
797,591,202,518,670,338,005,305,379,871,851,294,864,900,109,251,019,443,767,
569,974,135,904,583,720,224,626,866,791,039,904,302,367,407,950,986,549,648,
013,066,941,161,590,238,964,663,912,574,567,755,686,827,452,873,735,609,004,
262,427,001,198,778,470,054,669,833,606,793,357,284,652,084,145,059,361,065,
512,086,261,938,525,930,358,325,198,451,955,461,121,661,483,205,033,733,235,
052,747,804,528,369,837,036,897,473,917,547,592,284,607,201,175,270,957,580,
629,607,244,319,036,079,088,225,899,211,362,936,337,292,085,641,371,207,198,
917,738,638,279,619,335,793,405,536,473,227,506,899,355,422,342,724,791,476,
541,489,288,947,146,431,061,877,983,005,178,773,819,843,165,954,510,740,277,
948,388,745,322,067,164,340,588,689,541,625,916,416,276,154,485,463,527,740,
576,945,247,256,431,648,319,043,590,984,105,592,131,073,570,962,390,472,975,
603,068,307,431,105,676,537,527,302,120,445,081,012,683,164,396,207,969,471,
638,200,050,953,968,556,513,915,078,966,575,478,621,213,380,556,985,370,548,
753,168,913,208,956,791,740,234,609,540,402,169,337,318,978,410,244,338,896,
510,867,412,614,313,387,936,017,423,797,344,906,932,586,951,301,232,195,448,
237,014,095,622,649,282,045,345,340,883,989,087,834,058,846,733,214,435,065,
721,398,072,764,915,933,424,317,271,635,839,962,486,684,395,084,204,402,389,
640,555,559,896,206,211,550,022,513,213,629,834,135,052,771,874,541,511,814,
290,996,652,325,634,081,880,220,829,819,326,406,870,511,239,529,032,050,400,
004,556,678,869,687,563,278,533,990,788,128,215,373,974,161,984,026,353,016,
765,762,891,990,696,454,230,097,320,932,618,846,563,298,943,036,650,186,591,
819,977,025,405,974,822,985,390,591,794,110,058,841,460,713,585,277,316,154,
470,734,865,903,217,522,907,974,885,205,341,406,601,120,196,350,819,940,486,
746,258,575,385,695,122,815,103,168,642,639,089,752,436,447,484,398,013,231,
495,410,776,538,034,825,715,702,902,813,555,209,240,462,071,733,840,799,215,
932,907,940,090,917,865,758,077,729,268,877,975,449,952,367,670,670,751,727,
896,522,577,883,488,415,625,129,082,434,504,218,600,063,055,185,816,258,539,
554,739,943,712,159,691,202,328,441,112,042,782,199,605,787,541,674,513,811,
893,209,880,584,911,038,719,768,172,233,433,293,517,001,858,159,965,182,187,
874,773,121,277,721,930,954,772,311,592,861,710,072,383,884,172,043,339,793,
909,320,523,719,945,679,621,468,694,026,326,794,894,863,416,152,880,097,783,
391,714,919,648,436,597,344,004,347,546,217,086,739,019,908,015,124,346,582,
303,147,844,228,516,091,103,481,989,647,531,620,930,544,564,635,950,107,863,
926,238,102,503,522,631,874,630,787,508,640,711,540,970,173,107,564,239,023,
914,097,441,950,938,054,181,055,838,668,389,053,348,872,786,444,807,461,422,
773,701,009,907,105,900,557,629,031,942,877,518,336,177,475,205,786,234,220,
969,564,981,414,322,982,221,140,535,708,352,288,404,351,361,582,834,101,493,
840,165,772,669,061,561,957,017,081,497,508,958,026,676,320,742,307,495,476,
010,221,675,492,908,744,808,191,902,656,937,866,208,797,693,576,370,853,347,
387,986,826,304,445,907,469,087,068,775,860,687,310,201,203,344,843,502,496,
567,283,615,223,165,994,885,376,839,772,833,002,919,649,060,245,680,870,727,
138,921,786,152,607,797,898,319,469,748,499,924,218,220,370,774,755,840,298,
196,301,242,905,430,364,868,892,098,984,774,157,566,642,728,511,346,450,022,
666,940,122,863,416,962,055,080,050,082,259,675,220,577,844,298,792,327,695,
835,697,345,829,020,715,281,598,120,068,012,569,211,874,147,074,827,665,134,
088,801,702,031,543,868,253,428,191,880,638,975,390,629,303,914,207,492,484,
224,321,415,828,438,234,188,983,403,809,494,202,740,980,250,588,329,351,801,
090,235,531,223,645,906,435,449,270,135,896,890,075,331,374,009,304,851,186,
835,382,638,717,511,443,806,163,124,068,514,621,828,877,105,496,771,162,076,
601,611,673,282,882,698,198,391,810,227,279,248,650,527,127,292,217,879,918,
381,303,813,603,958,498,552,228,918,249,698,329,245,220,154,407,779,724,942,
114,582,197,902,710,186,149,834,367,020,943,189,288,853,459,251,350,846,953,
548,030,111,437,575,309,211,662,726,518,993,705,867,234,961,065,704,568,222,
496,156,620,775,228,847,210,577,196,514,124,634,913,389,133,605,988,417,043,
148,097,569,964,024,843,713,808,885,945,005,982,306,571,734,193,248,980,293,
246,106,990,472,269,424,418,495,978,164,417,756,948,603,776,237,109,598,509,
922,031,393,175,866,469,341,089,943,829,381,483,202,347,477,354,291,684,159,
762,482,248,682,023,547,371,154,669,890,250,548,507,860,146,001,049,788,589,
715,347,543,124,596,307,602,013,778,153,188,563,429,799,412,518,025,153,040,
995,314,436,803,272,516,809,427,020,456,523,144,726,721,423,838,454,829,323,
445,203,036,998,893,044,598,836,611,935,253,961,827,400,290,815,200,643,039,
930,127,002,647,353,970,189,944,525,391,986,188,216,734,968,566,495,600,421,
034,666,214,519,982,301,039,233,084,821,894,946,970,425,321,792,821,608,307,
332,431,010,960,802,959,868,271,032,623,478,177,956,561,030,941,669,777,525,
628,877,205,871,282,785,122,084,093,500,847,104,309,702,111,571,124,397,107,
389,103,664,416,958,246,081,127,938,723,626,175,956,077,914,540,760,322,613,
546,123,851,122,338,048,555,986,148,745,898,462,085,753,162,553,506,382,678,
731,449,400,510,909,156,811,196,880,551,010,084,829,192,739,683,003,076,814,
680,380,438,845,783,118,238,138,983,243,336,494,312,269,095,213,866,275,466,
553,027,045,638,068,585,293,949,641,330,061,818,748,547,609,103,558,145,943,
540,883,524,706,028,078,839,374,975,666,504,968,771,382,751,065,597,512,154,
443,702,513,607,601,417,639,842,619,691,574,814,995,434,710,149,714,178,226,
003,514,592,962,574,675,857,496,381,998,329,609,196,215,718,972,219,588,413,
458,492,157,958,653,180,395,088,280,293,113,589,914,593,026,867,159,467,787,
883,676,576,741,690,363,335,821,253,824,873,940,239,079,257,991,684,637,562,
049,422,060,919,957,902,422,892,890,495,738,897,114,205,919,589,365,370,022,
810,218,325,357,196,720,358,092,096,545,953,349,099,173,853,631,712,147,777,
404,699,048,238,051,430,144,250,619,985,217,828,851,496,094,089,059,475,630,
594,013,637,904,481,653,839,972,372,254,448,727,713,016,881,933,725,114,371,
788,007,413,190,456,588,453,423,208,338,710,380,051,601,916,500,962,117,184,
443,005,713,017,968,994,979,496,090,464,356,073,278,872,906,898,928,043,303,
350,923,269,465,432,090,384,931,240,014,357,512,233,848,091,520,907,574,920,
400,040,100,282,912,409,879,450,713,060,245,160,900,176,125,963,524,044,052,
827,729,461,708,986,225,830,559,519,873,766,641,607,537,216,688,906,692,788,
234,463,430,032,941,161,247,164,240,904,995,609,517,791,942,533,266,792,382,
832,462,207,438,638,634,513,521,090,091,725,785,349,872,723,910,335,824,383,
402,913,403,137,213,256,913,915,564,249,759,943,030,581,677,180,451,038,467,
914,508,030,011,043,127,613,831,462,543,733,245,962,977,706,345,574,603,006,
725,860,709,113,855,281,980,543,621,604,384,450,503,183,213,623,557,670,311,
595,606,724,568,958,228,464,540,060,415,000,194,929,899,244,666,068,197,652,
495,050,820,696,465,131,326,296,470,284,549,760,623,476,365,662,635,970,996,
894,362,795,751,710,190,754,465,878,486,885,895,426,288,542,194,593,448,790,
194,108,065,354,112,666,358,986,238,772,345,619,631,182,148,779,971,298,228,
666,770,445,483,808,251,791,623,038,590,072,800,099,925,099,269,654,847,057,
265,589,051,782,041,623,911,033,300,567,309,039,515,720,493,690,461,899,788,
600,021,265,513,147,753,809,558,622,254,425,720,504,569,124,390,926,129,019,
057,579,827,800,469,594,721,630,690,633,727,193,650,783,455,378,194,448,175,
819,156,574,085,222,031,370,815,952,494,295,805,064,165,682,247,485,379,264,
016,063,697,444,560,520,683,336,726,161,951,620,511,553,868,791,759,771,113,
726,255,091,830,151,102,474,139,737,749,942,536,519,588,184,510,671,105,343,
638,219,951,646,123,554,146,258,982,799,589,900,898,613,973,917,588,279,615,
828,759,153,941,595,555,159,787,583,121,396,383,603,874,741,153,740,814,993,
413,990,158,933,425,976,612,768,606,941,792,776,229,560,535,362,078,367,383,
721,222,219,783,444,767,085,173,529,369,024,799,085,244,859,886,818,231,024,
675,623,759,990,313,311,084,796,143,687,226,168,075,950,055,268,708,336,531,
580,987,181,412,711,427,486,763,223,499,737,904,230,591,791,255,105,174,378,
278,064,820,890,135,124,145,290,744,262,484,258,258,373,768,116,374,214,010,
589,331,629,820,558,996,451,354,070,200,569,235,874,710,061,585,137,525,102,
283,115,564,639,185,498,532,152,575,470,615,588,961,608,644,046,367,162,593,
140,046,905,994,161,927,107,321,885,797,755,184,393,780,812,407,712,191,218,
595,145,187,941,056,203,873,565,066,651,871,481,042,595,669,852,234,367,317,
059,737,237,066,462,015,587,271,560,313,636,810,561,436,210,335,701,267,130,
628,022,079,884,204,992,605,051,017,545,014,502,154,391,380,169,456,374,173,
518,792,177,874,726,578,486,370,441,983,126,450,680,990,605,763,179,077,168,
088,278,914,116,268,681,783,520,264,300,551,242,018,714,774,399,895,617,419,
606,840,023,888,679,242,351,361,844,206,153,097,054,885,240,189,976,067,771,
253,017,589,726,494,541,261,068,432,782,475,395,275,233,367,594,775,821,396,
114,375,493,313,237,516,807,647,074,661,533,460,431,203,645,376,710,823,689,
734,051,247,274,580,340,348,776,163,842,021,721,065,391,798,907,291,555,675,
341,164,426,417,115,381,016,984,713,140,147,827,311,715,306,025,205,248,365,
187,762,362,558,415,308,624,669,945,661,085,257,794,301,641,332,953,550,096,
112,349,976,680,289,713,355,464,082,458,056,475,167,823,215,708,906,709,177,
358,860,767,751,580,038,816,521,738,001,218,022,948,497,003,936,130,199,101,
913,341,058,070,473,034,550,348,398,191,704,635,512,866,661,509,593,655,388,
870,520,379,540,893,541,775,049,934,447,900,248,144,482,459,760,032,396,640,
452,242,941,700,316,002,659,951,214,533,770,963,139,523,934,351,139,704,889,
244,122,875,424,883,527,018,357,512,170,657,372,352,310,778,310,374,250,077,
512,795,960,537,357,575,475,101,990,037,933,118,861,927,289,923,108,028,126,
188,249,936,693,470,488,397,265,123,460,784,602,043,877,836,371,296,039,480,
925,651,582,433,068,064,680,880,118,110,251,941,092,639,409,411,247,470,934,
308,607,497,890,064,075,086,392,932,036,367,606,982,822,858,665,526,088,627,
120,232,250,389,882,021,078,915,805,441,823,474,561,509,515,570,179,243,847,
933,726,185,644,777,827,765,036,040,470,045,369,114,392,936,775,918,262,718,
846,291,463,923,539,817,600,173,493,255,453,958,390,268,629,874,870,380,826,
125,765,949,718,196,918,989,482,577,642,957,394,151,783,962,345,161,695,242,
234,740,660,585,352,650,780,386,606,776,711,285,463,609,385,882,467,345,010,
061,659,111,340,281,917,396,526,804,673,042,484,034,660,921,381,492,398,249,
993,805,457,980,303,358,946,768,618,030,998,024,824,328,742,890,394,356,708,
497,821,734,712,522,142,760,850,448,666,138,467,849,877,526,925,043,696,802,
123,848,578,468,788,942,036,605,162,051,138,624,287,377,940,290,780,802,939,
393,354,357,092,202,936,164,035,345,142,675,068,450,578,762,951,219,206,060,
315,175,479,600,510,996,001,618,841,810,287,488,760,372,530,095,461,863,532,
472,596,020,632,119,828,416,200,528,130,753,099,620,883,335,649,813,710,101,
622,516,860,458,041,395,351,232,485,255,760,049,315,877,688,522,780,331,204,
395,661,841,553,167,258,452,459,281,774,777,257,534,544,656,909,053,549,699,
516,733,225,554,900,025,005,035,009,160,856,777,515,848,717,231,613,680,251,
076,979,557,063,841,590,536,295,226,953,486,391,951,022,855,561,227,880,340,
607,776,741,317,840,276,606,693,691,974,910,922,157,149,616,768,097,615,628,
920,855,247,223,665,920,436,813,724,130,319,903,522,346,783,590,411,651,619,
284,576,961,518,890,902,821,077,263,335,856,155,640,368,503,303,741,171,313,
183,347,356,341,546,726,459,228,317,072,783,383,252,684,873,170,613,638,008,
359,369,746,776,642,995,706,344,183,385,766,792,667,436,267,880,264,551,171,
483,781,630,723,723,531,924,311,535,441,030,446,819,010,981,076,992,946,795,
853,088,100,170,138,407,206,812,119,399,341,210,534,761,734,358,232,002,120,
922,852,018,135,393,121,580,206,164,471,428,301,881,908,517,219,484,861,969,
061,239,863,619,323,078,624,829,988,580,763,164,752,487,367,127,182,814,352,
571,054,353,142,011,862,888,612,786,238,363,575,727,671,586,024,408,466,551,
047,331,212,786,480,678,411,621,771,330,225,501,999,515,222,255,736,059,507,
098,163,290,746,907,679,710,756,155,318,520,914,389,757,620,837,276,387,767,
242,264,103,873,863,535,856,519,543,197,656,834,556,401,686,977,039,375,635,
169,951,007,755,772,075,393,947,183,698,885,077,452,280,218,516,637,226,685,
034,368,404,361,705,546,408,814,956,644,637,321,271,597,556,373,116,440,018,
762,632,034,227,488,518,649,668,332,431,198,356,359,241,876,155,195,238,414,
854,330,681,883,698,405,279,194,808,341,342,129,109,981,564,111,129,734,705,
070,592,088,718,787,296,536,850,453,048,317,109,669,181,406,097,307,411,557,
144,084,497,606,074,273,875,787,781,262,077,430,240,874,491,691,349,252,320,
487,444,553,165,165,949,258,550,178,454,920,549,792,721,050,874,558,856,904,
611,136,394,399,973,891,014,984,742,150,482,452,959,988,102,329,466,569,219,
044,344,729,644,409,151,893,652,175,494,900,314,678,239,998,404,447,409,925,
720,991,627,999,225,664,555,832,846,938,666,124,311,039,984,764,958,010,266,
786,315,511,496,077,685,231,382,833,469,682,041,416,740,778,161,966,675,552,
266,643,764,330,558,487,834,948,640,379,445,454,017,490,963,049,118,628,838,
921,615,478,814,718,918,981,215,038,837,027,448,827,766,218,710,302,460,678,
618,289,952,915,018,197,468,971,306,108,824,369,185,094,955,803,986,278,112,
318,697,444,987,506,503,672,744,984,126,407,176,818,314,997,239,831,598,927,
290,048,269,215,781,369,217,367,646,545,792,715,422,526,072,306,660,280,827,
064,302,362,546,744,055,267,240,558,764,010,958,945,010,873,696,935,986,479,
681,275,888,964,501,140,080,946,519,049,260,451,272,006,221,992,716,636,795,
842,546,304,136,487,298,066,343,373,472,848,098,241,312,469,130,806,178,167,
023,379,882,325,961,268,389,697,785,813,488,619,441,071,373,829,617,217,733,
843,669,406,358,135,963,924,672,160,622,156,281,163,464,701,849,002,013,860,
893,901,944,124,406,600,246,063,654,814,167,490,008,356,637,055,517,855,891,
885,898,298,575,824,534,375,545,109,801,518,393,952,363,271,867,763,953,238,
148,417,402,604,315,663,630,545,774,105,291,136,525,301,672,078,406,126,117,
705,019,954,128,404,546,319,326,212,262,290,348,815,109,704,769,483,684,866,
429,951,902,632,141,497,316,902,018,906,283,852,036,835,509,379,614,554,400,
799,056,293,323,156,067,578,064,981,580,580,417,466,305,111,646,144,958,143,
330,216,705,431,770,921,738,292,810,945,631,970,170,893,915,523,993,837,355,
229,222,350,232,636,347,705,160,110,726,232,158,283,745,875,408,332,481,923,
895,776,631,963,718,537,371,253,084,968,068,135,441,792,808,899,641,735,225,
178,089,888,099,048,165,132,175,749,039,049,295,240,249,858,146,161,803,743,
115,536,904,437,877,086,856,999,890,933,379,844,198,646,373,124,619,094,304,
816,695,902,247,440,356,046,955,775,109,524,941,080,239,633,422,437,195,705,
489,099,701,410,444,438,468,264,666,998,746,917,719,878,368,194,529,176,134,
629,319,311,121,020,102,598,138,793,251,410,003,608,477,810,291,284,672,973,
437,700,603,327,292,406,443,142,530,324,892,394,435,132,418,585,672,336,996,
497,189,445,871,281,001,685,879,843,745,302,497,218,800,281,958,289,089,684,
721,261,346,111,369,552,829,637,921,835,914,004,224,619,254,064,843,706,331,
422,479,202,354,451,618,749,250,898,799,795,315,977,432,997,138,563,384,311,
898,935,858,509,272,958,145,329,565,157,615,740,255,412,620,385,108,586,893,
684,749,693,727,995,785,959,461,627,363,969,007,237,426,845,039,983,466,398,
284,389,719,606,311,736,108,843,389,514,098,685,521,446,074,658,729,225,360,
874,209,656,472,140,498,150,111,124,411,253,272,820,565,210,640,465,279,209,
407,959,998,435,568,926,901,042,114,282,519,733,457,276,201,766,737,571,566,
553,753,400,561,320,428,363,044,301,263,157,308,284,458,296,395,900,171,766,
206,466,447,738,919,600,078,736,381,611,420,734,600,149,357,403,401,817,752,
119,738,980,662,305,951,787,573,319,982,716,044,433,701,664,768,492,250,311,
810,122,262,369,113,854,478,003,882,518,004,960,723,630,978,257,955,305,472,
757,861,809,751,837,743,787,971,398,062,326,851,601,263,961,772,787,707,715,
440,216,017,887,572,605,219,537,319,114,722,500,657,887,702,646,996,995,196,
890,964,019,459,409,720,930,010,337,835,476,358,890,774,292,493,336,421,306,
672,093,969,852,328,833,972,971,068,690,199,766,482,218,009,730,870,763,587,
960,999,603,736,891,350,966,689,795,565,515,655,970,896,846,279,325,865,687,
846,387,657,234,772,779,876,420,219,525,313,251,984,272,832,296,277,946,758,
646,547,407,691,415,137,919,811,710,710,671,181,140,265,578,119,252,057,722,
827,535,794,327,584,614,677,115,488,557,892,064,470,155,063,524,731,227,603,
367,367,346,281,616,327,259,487,952,172,348,267,497,273,539,838,393,808,863,
937,799,789,557,597,517,420,181,032,640,213,537,434,713,777,846,180,219,518,
328,716,652,239,019,384,567,719,118,286,768,074,817,397,155,977,988,630,538,
222,488,670,447,306,764,111,790,430,745,695,535,151,722,972,879,442,032,439,
044,600,502,362,048,817,810,157,583,355,267,377,535,594,886,486,235,660,520,
214,006,569,492,048,863,725,992,103,784,024,346,101,190,102,044,479,997,824,
640,337,498,865,908,949,518,012,168,180,472,462,742,843,922,231,072,046,738,
969,937,532,311,740,902,604,429,529,778,420,319,315,625,396,976,235,971,356,
995,311,894,200,758,336,542,262,397,823,670,481,338,243,497,258,744,430,267,
756,874,087,971,340,298,633,724,162,011,365,542,059,289,436,702,509,735,269,
243,851,624,275,601,902,686,201,657,382,823,531,887,250,359,393,121,574,370,
214,740,908,778,543,466,245,107,998,386,020,082,384,276,788,592,600,642,602,
703,389,864,043,794,149,272,846,759,271,233,142,696,673,356,281,425,213,552,
170,578,214,233,123,651,586,439,359,279,697,664,784,007,113,612,958,979,951,
127,729,813,741,379,827,430,014,066,406,450,865,608,250,802,910,557,425,273,
135,289,137,213,910,641,760,961,419,704,459,987,010,051,352,116,477,772,700,
239,264,460,916,945,626,343,131,046,085,799,085,894,041,153,954,603,488,897,
804,087,110,690,834,537,476,084,532,292,419,892,141,376,620,807,371,055,773,
892,205,464,390,603,646,339,759,286,372,455,716,177,320,429,349,439,996,913,
337,724,375,809,888,637,372,740,954,844,387,025,377,448,113,722,529,897,199,
544,031,087,586,942,694,040,919,022,715,012,508,945,712,543,970,626,434,470,
306,463,006,531,386,487,164,745,917,780,465,333,586,261,803,159,362,281,910,
587,135,658,831,038,170,728,744,041,366,901,715,340,034,868,188,489,252,940,
917,740,103,886,350,438,460,264,378,670,809,433,826,079,873,566,578,409,658,
082,636,632,902,027,274,240,013,714,894,440,704,855,454,152,561,473,855,280,
383,816,186,583,277,888,709,185,303,742,704,956,014,274,933,698,069,838,076,
974,138,074,700,943,800,034,983,690,099,451,690,879,782,225,725,329,410,977,
093,411,287,890,341,128,258,767,652,266,817,490,777,820,195,228,627,738,056,
350,841,016,474,325,542,964,107,823,387,445,920,897,408,766,045,275,185,344,
382,768,084,088,944,622,011,788,779,595,117,767,364,971,562,239,474,088,893,
227,533,348,055,964,194,959,654,289,437,207,441,446,805,044,922,106,526,157,
471,730,263,596,266,153,536,246,406,198,343,835,713,368,429,633,343,343,049,
633,993,277,029,960,171,413,804,463,061,137,132,480,382,801,237,792,655,429,
438,552,245,278,209,552,657,686,216,841,911,898,046,518,866,903,984,200,520,
765,818,020,462,873,317,397,545,533,513,820,954,315,409,183,353,791,223,379,
215,989,120,706,028,974,950,578,825,625,733,696,122,296,887,371,281,274,368,
277,296,975,856,876,917,095,672,129,879,929,412,395,364,937,101,243,392,608,
014,981,343,198,503,979,145,581,740,124,502,030,319,281,350,149,179,195,049,
068,751,558,078,613,274,184,325,368,912,087,625,686,378,270,905,209,074,594,
888,807,992,904,951,028,521,361,497,840,662,755,816,592,522,423,433,303,387,
660,244,797,742,152,235,342,304,689,663,241,924,557,423,387,427,913,315,332,
546,350,731,741,329,146,443,049,477,418,489,224,142,550,553,630,960,343,319,
283,256,108,759,045,215,173,535,119,811,340,224,698,613,759,905,880,683,723,
868,780,582,087,724,647,766,152,269,710,956,619,286,883,269,819,029,604,187,
974,608,601,303,791,356,503,458,191,346,643,367,581,902,468,157,245,248,258,
021,105,734,921,300,412,968,811,819,722,746,171,291,271,902,779,219,587,808,
626,946,909,067,002,387,321,927,331,235,784,718,017,169,446,402,827,053,029,
585,515,321,622,272,282,566,801,223,242,385,593,478,276,637,863,288,025,752,
578,419,109,051,174,384,876,291,765,648,055,931,336,446,596,005,695,498,179,
355,228,644,769,692,140,536,426,044,353,918,045,033,480,128,680,693,137,676,
351,505,838,210,576,268,284,431,585,704,301,468,711,872,772,650,986,274,581,
995,247,412,298,806,943,789,210,511,657,776,347,887,833,215,401,593,484,770,
045,184,538,845,856,904,355,440,024,016,953,118,324,759,151,639,090,959,370,
975,043,332,886,919,325,983,499,500,547,796,651,379,709,444,410,941,564,152,
620,297,277,261,388,844,068,411,453,674,102,533,309,592,324,742,000,071,874,
704,062,319,319,180,835,586,422,283,128,812,446,259,760,326,660,671,112,393,
431,123,983,359,844,597,685,042,107,496,876,179,163,029,003,943,271,256,062,
648,130,578,269,998,111,734,942,845,278,538,192,236,914,801,595,203,252,942,
698,459,446,684,691,268,564,499,737,475,700,242,690,555,722,310,686,453,047,
867,553,995,402,354,069,573,685,595,593,722,856,088,305,204,040,321,808,761,
822,930,837,684,537,247,413,721,421,449,913,567,783,949,198,781,882,704,624,
915,238,918,708,116,248,420,001,877,243,715,365,785,319,687,450,406,854,926,
834,807,100,865,110,932,005,016,462,431,932,843,235,302,910,340,792,678,150,
144,334,967,774,354,757,745,762,751,622,158,505,604,743,723,595,743,480,277,
117,202,714,328,109,562,319,795,963,760,958,429,451,262,249,041,505,105,491,
006,104,793,412,766,108,714,719,116,226,035,185,710,801,490,432,860,959,399,
716,726,786,938,889,709,308,729,530,837,962,430,332,067,610,563,266,727,350,
815,190,377,492,960,255,942,265,792,430,883,336,919,334,550,511,329,468,277,
901,875,412,671,988,241,791,341,189,656,252,518,871,683,978,612,947,538,553,
764,692,139,728,726,706,682,428,956,152,041,365,945,093,419,709,048,433,111,
735,155,362,954,862,721,218,656,475,870,886,603,063,713,882,584,071,799,998,
580,697,982,966,367,214,756,801,881,009,331,412,178,141,086,472,697,569,882,
947,615,271,006,009,540,910,172,331,727,954,563,811,337,177,903,103,405,984,
603,054,019,225,508,697,793,689,114,531,701,514,656,360,415,802,685,935,718,
307,786,858,632,365,910,382,902,798,778,648,287,232,568,152,735,427,043,987,
635,477,088,163,787,521,725,099,473,323,772,936,680,916,568,789,894,780,359,
776,514,357,456,379,919,881,422,710,344,531,929,032,085,392,110,984,457,308,
460,128,686,609,833,214,762,293,763,257,726,125,953,900,124,003,189,843,338,
493,119,510,053,435,484,619,576,088,275,382,899,600,925,747,594,132,969,404,
445,825,660,718,243,789,526,248,062,406,296,629,575,074,783,912,406,848,541,
618,817,388,538,408,535,572,669,319,342,560,429,909,861,180,237,005,361,807,
535,078,933,480,865,867,420,887,191,198,151,989,550,776,338,763,859,563,103,
367,344,966,632,096,190,366,306,588,227,431,224,522,591,309,138,354,041,417,
385,341,346,807,640,259,392,518,484,075,118,548,666,153,892,265,907,993,781,
534,960,371,894,740,429,800,610,087,218,324,807,838,013,837,710,106,683,532,
697,764,113,413,983,182,609,395,766,688,298,304,649,537,292,118,197,592,078,
056,865,121,636,106,915,958,330,004,065,357,237,433,802,160,305,688,276,509,
409,693,684,178,058,445,035,031,457,777,834,040,878,332,394,934,231,692,512,
944,106,589,945,435,903,956,638,513,659,275,073,545,426,895,581,844,449,290,
445,307,086,364,642,013,926,527,460,441,111,783,197,935,526,845,779,597,847,
659,977,260,793,921,099,492,333,789,481,956,770,263,304,925,398,303,229,219,
867,622,468,682,482,022,062,106,805,324,270,558,373,372,348,592,620,928,499,
998,307,021,469,888,933,319,672,584,148,413,906,133,070,313,912,812,253,566,
441,353,908,060,997,327,419,912,160,261,628,679,358,703,436,027,124,389,801,
902,404,217,646,589,730,998,950,364,449,853,160,550,065,120,193,601,139,543,
024,605,950,871,718,260,400,578,684,974,929,018,952,522,003,290,877,307,438,
400,785,360,637,777,969,215,299,688,831,042,170,356,881,144,299,478,362,391,
350,775,561,534,365,992,846,797,148,473,148,372,232,723,805,346,719,673,400,
134,458,412,886,861,106,936,724,917,850,379,072,464,698,955,322,678,394,604,
981,680,210,191,931,999,385,533,957,092,959,810,875,540,680,245,776,177,428,
103,297,213,328,528,624,600,182,170,854,163,699,113,276,681,562,967,175,463,
349,520,202,100,771,422,885,145,169,447,340,159,066,583,105,865,975,887,619,
870,161,788,161,254,585,081,488,195,034,917,147,707,433,279,191,541,904,278,
005,696,922,188,368,408,951,588,898,064,397,849,082,485,513,352,640,016,131,
386,246,385,220,458,115,045,153,565,352,238,834,212,463,548,231,673,143,102,
891,274,593,946,448,021,543,662,808,042,946,278,107,084,233,408,133,681,253,
073,684,519,305,882,378,951,393,128,396,088,365,573,041,771,328,991,887,638,
915,407,463,431,899,025,083,016,064,357,604,592,990,450,845,849,097,932,431,
255,335,357,023,674,079,263,601,424,910,119,658,772,930,051,674,923,102,356,
643,940,882,436,537,522,325,693,402,907,110,686,585,721,178,086,871,383,979,
939,683,328,902,218,441,527,031,864,861,591,993,201,810,576,120,251,685,152,
047,054,964,070,521,110,867,493,459,168,815,656,306,576,955,826,315,662,464,
878,346,383,569,141,077,057,042,450,337,533,530,332,219,551,884,925,288,121,
387,524,331,660,354,218,196,515,926,678,140,543,772,143,157,354,590,712,296,
275,902,202,590,600,727,949,749,341,747,614,197,482,734,056,040,260,317,099,
069,750,623,200,247,084,353,472,189,126,034,689,334,316,103,458,086,380,550,
390,544,165,255,933,727,364,198,025,934,579,756,167,486,006,478,152,774,286,
503,136,971,749,426,247,571,851,234,388,078,009,504,247,334,922,954,570,650,
498,641,496,141,619,999,951,910,704,104,434,621,936,821,726,985,031,421,934,
900,021,141,737,668,333,920,326,449,919,092,626,435,793,542,469,130,129,006,
297,701,314,230,778,076,894,156,845,492,201,078,717,094,441,431,762,846,197,
255,889,084,358,757,696,858,123,621,291,182,211,543,988,523,124,249,328,555,
912,890,620,640,204,835,159,473,146,246,221,355,673,734,806,511,529,906,058,
657,989,894,802,349,939,516,749,325,742,810,227,017,653,534,415,136,896,904,
042,899,201,466,984,020,932,533,743,371,406,093,542,584,295,956,058,916,938,
001,554,640,543,675,228,854,387,953,387,839,384,960,604,318,386,874,051,963,
386,385,879,408,978,009,631,557,129,470,693,654,363,431,274,562,256,632,628,
237,148,907,700,156,214,798,837,826,974,694,377,244,414,781,490,976,969,930,
609,288,420,494,629,882,133,080,545,434,009,648,428,771,647,615,826,754,441,
820,464,703,326,768,954,224,644,598,696,361,310,797,956,879,604,633,404,793,
327,344,766,506,215,394,787,698,513,066,163,266,060,756,237,793,257,280,679,
190,748,049,681,536,410,342,357,928,597,856,764,360,266,484,492,644,048,054,
758,495,216,818,971,692,856,904,973,008,573,177,819,324,526,600,269,148,490,
935,627,144,798,762,931,261,396,386,915,509,235,743,032,552,578,540,177,964,
480,737,461,664,582,038,856,853,673,129,521,086,491,811,043,991,809,256,184,
059,134,127,998,752,742,461,673,641,204,406,539,839,419,614,341,846,228,876,
769,712,990,932,026,219,929,925,068,188,133,674,752,585,281,071,743,767,737,
128,887,725,995,037,425,929,580,528,406,221,241,389,186,976,639,495,474,236,
358,252,874,401,969,228,105,246,968,389,319,851,198,918,617,557,901,673,613,
591,526,223,782,275,436,613,728,076,478,529,051,995,448,346,450,286,067,995,
155,827,507,798,443,426,659,549,154,499,241,379,037,986,133,956,124,746,412,
857,853,554,691,847,592,994,774,590,371,129,249,420,119,295,208,376,968,693,
901,251,145,647,892,570,143,481,563,142,542,146,032,376,666,499,527,399,212,
970,669,890,188,701,047,551,795,931,373,286,967,111,114,154,686,923,108,812,
161,930,063,260,948,736,744,224,564,340,325,911,255,865,241,559,102,170,519,
220,649,094,711,612,444,319,725,986,099,137,897,332,858,760,955,590,800,491,
999,744,597,582,184,049,865,730,697,281,267,627,396,141,867,139,372,009,666,
430,178,642,603,092,525,230,630,300,140,673,122,107,060,053,953,158,998,809,
390,268,387,130,939,690,457,203,961,215,245,609,248,345,281,178,296,033,233,
338,813,570,584,745,966,682,791,021,779,712,715,421,454,285,787,923,563,665,
097,659,284,348,008,495,318,155,196,974,376,042,123,611,650,238,535,354,274,
917,555,665,459,071,582,150,785,016,637,348,006,498,048,924,077,456,406,825,
851,786,726,134,782,029,799,464,154,815,643,752,364,219,707,439,407,700,561,
896,600,264,020,460,538,796,343,877,885,964,205,632,544,244,978,523,136,702,
152,915,548,003,984,135,981,907,968,897,304,656,576,514,031,936,435,588,597,
045,604,042,614,485,228,070,100,904,531,204,094,381,479,011,455,791,778,410,
651,210,214,934,138,135,929,998,289,796,203,552,001,215,004,746,317,250,001,
759,157,464,108,854,263,710,159,644,610,781,391,497,192,157,996,095,118,687,
885,783,372,347,897,327,354,497,247,456,614,365,347,315,566,513,874,471,607,
561,042,360,844,649,919,230,331,199,828,038,624,173,581,917,241,019,722,603,
051,302,392,373,154,848,116,180,336,190,571,394,013,010,932,980,316,890,890,
145,175,364,968,237,313,442,128,710,735,101,671,601,913,169,118,020,374,374,
991,465,075,316,062,295,312,771,291,260,833,512,928,790,156,232,624,119,967,
670,224,054,810,650,632,614,757,314,909,761,350,812,126,344,775,699,768,431,
198,423,597,736,427,440,702,060,421,933,193,631,001,444,810,903,890,461,971,
274,594,074,569,036,969,519,812,141,677,030,436,115,744,857,354,993,579,800,
667,315,023,202,321,105,272,545,689,507,747,074,946,360,380,362,763,787,749,
256,091,593,754,000,103,089,434,731,598,530,619,387,524,427,478,687,324,249,
694,445,390,295,297,540,068,264,824,857,879,743,251,847,520,734,980,768,034,
743,751,726,186,211,373,651,216,480,514,805,431,732,205,703,349,352,764,168,
257,798,322,049,982,747,620,087,800,094,174,880,441,402,732,009,582,648,046,
286,420,995,465,653,972,010,009,861,843,350,060,258,665,378,328,151,116,352,
563,128,512,207,307,450,346,130,681,459,780,994,713,029,350,480,176,649,716,
101,965,074,283,402,929,670,337,569,382,747,361,966,214,041,726,185,962,964,
959,870,173,743,162,560,812,687,028,221,045,507,590,973,661,923,119,014,909,
763,783,777,945,114,187,058,713,777,816,706,870,937,408,968,122,373,777,391,
522,864,490,041,488,409,115,465,853,750,472,386,038,052,175,025,073,623,635,
058,266,119,744,063,254,364,329,986,957,599,220,984,068,311,496,091,980,255,
241,479,720,032,462,640,804,614,910,193,983,552,603,878,853,585,138,227,860,
971,785,246,845,192,493,347,724,519,937,901,077,049,123,795,201,146,172,943,
612,999,978,812,290,084,410,095,709,853,009,877,360,629,256,498,644,867,974,
350,149,948,898,615,941,046,325,550,113,900,220,289,514,601,408,260,481,596,
651,442,148,558,657,767,045,566,474,575,939,500,797,690,589,789,021,349,737,
417,967,788,159,996,312,382,956,563,098,328,720,748,021,555,650,873,490,938,
471,230,821,775,839,406,295,461,580,053,187,318,956,177,849,194,719,864,688,
129,051,041,006,158,230,615,589,438,726,118,152,242,555,433,792,290,007,240,
144,321,412,095,582,434,471,601,926,188,541,616,065,056,462,978,545,404,790,
305,866,136,334,170,188,803,809,778,549,993,342,511,514,504,580,576,508,692,
609,119,992,417,706,828,637,973,598,905,607,046,446,108,010,619,573,020,415,
762,562,175,226,863,925,579,214,508,441,489,836,626,467,916,862,066,101,441,
399,187,974,553,640,838,320,582,949,317,930,234,661,061,558,519,608,193,579,
974,678,151,243,995,308,022,528,667,679,304,553,001,829,328,522,192,090,745,
842,631,881,108,957,046,269,773,201,756,245,302,021,919,689,357,683,087,794,
053,992,775,699,346,614,750,978,678,573,928,116,696,090,334,813,457,844,388,
847,881,524,147,393,886,968,731,143,727,892,804,270,139,772,764,155,584,308,
406,564,866,020,999,329,779,969,958,388,591,380,640,206,840,775,178,653,443,
767,324,810,338,043,538,815,547,032,587,067,927,342,735,877,257,784,831,026,
596,295,767,457,612,401,211,317,405,594,245,572,022,328,558,519,871,636,541,
050,993,875,493,103,505,417,684,977,544,809,596,088,197,030,196,300,577,239,
931,862,164,011,913,475,693,806,147,657,316,814,513,401,248,180,671,229,290,
857,586,945,708,506,063,867,819,491,123,838,955,140,394,246,907,549,996,166,
101,779,015,081,454,293,057,181,446,708,498,233,705,644,814,444,376,192,352,
527,500,238,469,681,162,550,253,022,481,713,157,964,413,172,327,090,187,042,
062,183,120,490,359,953,119,386,610,432,632,541,292,518,225,774,787,294,837,
834,344,982,232,008,227,760,601,539,781,156,821,130,310,632,901,078,721,635,
087,794,537,652,114,309,468,864,997,315,323,323,007,783,765,998,703,985,395,
103,888,657,488,261,085,001,023,181,158,703,015,990,425,924,628,775,039,425,
777,636,420,082,647,691,084,159,157,949,166,890,658,795,799,560,722,867,216,
150,585,309,540,596,355,684,635,092,371,004,309,197,834,376,387,150,259,554,
226,881,238,320,330,032,593,160,492,419,794,736,590,810,780,559,759,034,667,
641,393,518,886,049,962,492,617,970,523,994,853,374,640,940,610,616,817,990,
266,187,603,492,836,828,564,487,285,683,970,726,162,348,204,082,581,911,613,
609,026,176,543,380,212,857,694,288,587,603,870,405,243,636,671,776,997,346,
993,893,135,192,029,066,483,665,491,534,442,578,565,290,430,416,005,462,398,
573,567,296,436,073,363,055,224,700,315,024,785,071,116,971,657,345,622,856,
757,624,549,634,017,230,571,607,816,111,734,243,396,156,073,982,689,650,015,
970,553,851,581,086,944,946,363,206,679,756,540,044,585,531,536,306,490,030,
998,918,337,220,893,874,245,061,550,681,064,383,524,720,818,229,317,794,488,
859,095,827,065,921,049,776,064,466,044,133,931,932,545,282,351,814,580,001,
420,635,780,844,032,847,684,938,787,023,649,681,932,619,648,543,860,020,809,
632,899,909,026,335,543,875,613,519,693,801,404,581,571,362,674,471,812,450,
429,322,930,370,031,009,493,747,841,963,250,951,047,991,327,503,877,852,564,
443,801,890,574,656,143,699,757,631,510,724,636,384,264,694,499,273,465,125,
672,226,611,394,393,054,436,684,843,690,314,746,226,903,750,629,398,693,689,
726,327,607,305,176,703,006,863,798,799,627,818,245,754,302,113,751,398,399,
879,142,757,716,275,452,990,843,881,618,920,455,337,368,071,834,162,215,294,
718,213,009,036,356,634,164,153,257,751,168,001,415,976,700,416,189,264,772,
847,607,894,923,014,785,728,303,396,278,653,684,444,592,343,480,124,736,878,
849,825,065,518,833,760,246,144,530,024,929,579,484,129,998,608,672,834,502,
469,984,774,432,968,097,374,023,694,627,018,687,182,100,392,202,810,492,150,
709,343,179,802,062,613,600,897,280,911,992,906,641,522,570,310,688,594,110,
723,052,058,575,378,287,000,423,261,101,173,220,060,282,160,185,239,630,376,
346,666,741,750,781,206,246,099,223,704,630,422,942,038,778,237,607,249,338,
261,266,126,198,548,515,633,416,154,318,731,978,280,387,714,239,810,889,811,
881,840,603,177,553,215,755,358,878,108,582,082,486,476,178,444,279,575,360,
265,346,559,486,422,956,606,388,831,662,876,796,731,165,021,382,443,467,831,
354,973,993,459,749,970,214,263,358,659,825,070,016,765,973,009,835,842,831,
068,227,288,160,759,606,037,374,880,824,223,608,423,695,484,604,284,167,427,
801,677,892,736,934,728,637,328,762,925,274,286,009,533,430,147,748,166,701,
109,690,728,063,310,117,665,758,485,356,930,138,427,923,097,459,172,339,511,
473,589,347,249,453,999,043,804,173,183,941,585,697,497,224,991,739,933,731,
738,722,904,239,265,189,094,566,549,756,588,814,257,448,088,853,872,631,117,
456,351,995,481,463,201,381,804,593,566,663,893,080,135,710,541,507,490,512,
999,300,964,455,335,846,408,739,043,746,147,026,083,171,907,024,555,912,058,
945,451,161,089,052,162,960,982,672,553,472,464,369,816,376,416,276,599,176,
653,302,284,266,119,746,489,085,331,653,539,898,379,415,952,910,947,150,940,
194,905,061,656,593,562,936,952,489,628,657,857,588,903,424,596,411,018,012,
148,644,509,038,140,463,559,070,357,647,785,113,760,020,941,089,799,546,350,
268,190,938,590,495,227,661,692,909,704,420,666,807,270,585,377,001,924,540,
139,640,593,800,083,889,450,743,154,084,029,975,001,624,408,936,154,656,099,
529,312,538,074,661,347,517,758,343,939,715,661,736,079,367,728,212,043,396,
292,583,617,419,107,141,653,301,975,377,285,899,595,999,665,057,761,734,317,
116,236,079,646,617,745,759,101,647,132,309,605,283,829,524,582,205,054,897,
643,849,230,502,734,195,591,186,471,267,808,381,773,198,557,081,050,916,223,
177,715,174,807,996,751,767,904,233,499,748,365,895,514,866,415,722,756,583,
086,924,837,073,909,061,635,913,513,772,477,632,442,782,350,661,996,863,963,
977,565,127,839,470,881,440,429,316,580,095,517,445,778,445,324,083,856,813,
779,006,637,773,747,089,806,903,074,444,916,909,834,715,760,983,806,182,826,
909,430,176,399,494,868,278,798,398,491,144,098,895,146,461,234,665,167,952,
096,495,186,818,165,472,270,719,985,454,355,871,261,478,456,265,825,927,263,
233,237,501,860,419,740,525,613,952,553,604,544,356,934,280,703,950,289,379,
450,796,834,165,674,090,605,604,437,479,053,887,371,006,581,586,143,725,396,
171,245,437,318,062,484,731,286,630,683,569,669,520,504,686,924,695,526,343,
320,292,193,046,089,892,826,595,695,589,912,268,483,200,365,806,217,569,604,
100,780,698,503,163,998,608,669,037,238,317,937,610,404,719,449,429,160,311,
859,513,594,362,587,859,131,257,190,566,261,809,459,912,009,735,905,190,633,
417,655,726,453,675,193,750,664,226,577,855,749,582,910,109,917,599,416,501,
143,496,149,608,720,355,471,459,725,502,040,183,491,622,024,218,319,148,342,
471,681,580,160,175,229,282,267,031,861,430,302,271,854,238,678,925,546,482,
025,046,082,476,592,424,224,257,622,116,916,777,565,423,000,611,924,373,544,
309,641,213,628,172,852,467,634,726,562,887,774,655,735,665,358,361,551,598,
839,732,129,506,940,804,227,542,902,634,302,802,391,126,932,152,029,147,381,
533,947,191,009,249,979,715,801,351,515,208,230,826,477,357,644,753,789,037,
810,599,232,990,705,823,492,135,613,912,199,519,728,786,114,428,703,476,793,
343,979,092,905,100,635,818,359,918,518,058,144,149,715,810,530,339,249,562,
500,761,773,855,937,010,848,010,558,000,117,162,027,387,375,804,902,378,652,
748,221,787,660,409,149,689,114,832,954,640,679,200,095,292,389,109,252,875,
831,201,329,657,369,088,031,193,741,273,109,767,239,396,994,769,457,697,858,
937,519,018,012,356,858,463,684,176,262,237,428,551,660,243,568,695,749,878,
056,067,555,554,951,538,106,359,258,783,759,714,444,869,829,790,396,222,952,
528,239,145,061,090,833,723,594,052,666,608,314,023,300,131,741,908,301,730,
316,830,612,458,370,104,417,932,732,222,560,701,618,064,219,764,214,989,188,
706,199,295,229,886,895,287,847,883,293,853,630,439,988,609,959,858,210,341,
477,715,406,186,114,452,534,167,953,466,936,825,719,133,065,811,528,418,132,
424,720,822,902,978,111,229,666,314,821,154,524,948,168,967,604,331,899,973,
642,768,074,805,427,935,900,115,753,523,002,981,199,428,421,752,134,110,136,
447,911,049,606,167,307,922,800,443,461,093,651,827,527,578,646,282,950,204,
839,887,585,733,370,136,607,491,014,545,861,931,102,938,003,364,461,393,327,
630,284,650,019,798,859,096,557,523,644,854,190,252,645,239,544,584,017,985,
881,511,754,803,290,034,660,928,166,425,394,027,376,247,979,773,678,016,908,
393,374,776,887,356,647,162,358,813,697,510,972,817,378,502,256,628,209,445,
788,793,712,149,538,477,687,279,378,709,381,687,597,817,769,182,200,664,373,
820,771,023,664,384,256,227,558,462,240,866,195,442,663,348,219,642,939,303,
428,151,841,229,854,619,900,572,779,798,691,735,208,628,262,101,378,050,105,
660,850,733,898,344,671,272,127,905,282,672,354,688,972,665,010,726,472,897,
560,616,339,122,539,372,734,270,745,554,827,700,362,703,981,322,131,106,870,
305,021,776,834,357,160,147,433,082,262,438,945,563,364,278,093,127,372,192,
424,605,048,600,272,442,243,313,770,179,177,793,067,472,155,351,599,249,272,
064,392,113,500,608,236,337,498,202,438,816,590,270,962,179,115,784,208,768,
960,754,070,671,909,893,822,132,190,088,803,178,357,113,634,961,494,484,864,
905,060,162,688,566,540,641,503,499,602,174,842,010,336,459,380,513,008,081,
332,183,411,226,812,258,773,460,910,484,664,511,052,230,485,254,420,681,915,
137,459,338,307,296,276,502,680,572,645,557,819,458,620,279,585,603,275,899,
553,515,464,795,887,111,667,685,684,236,876,922,007,820,235,384,181,751,516,
006,833,354,903,571,840,504,435,858,748,138,876,724,089,037,051,694,893,805,
702,532,036,835,240,481,335,357,147,831,049,614,866,857,497,513,697,845,973,
640,327,945,359,619,144,514,033,255,379,361,172,126,457,801,509,300,064,949,
744,780,662,106,137,145,575,210,185,475,581,366,846,170,325,428,893,496,231,
492,482,238,854,722,007,553,713,182,297,021,112,688,421,738,837,292,307,472,
303,231,317,531,883,334,613,578,720,908,097,693,162,184,447,781,531,607,099,
801,457,055,518,114,940,133,299,925,762,224,966,231,252,890,985,214,118,371,
443,161,404,719,925,426,764,439,333,907,904,286,877,786,846,786,524,753,530,
284,307,400,579,870,384,076,253,526,838,708,118,305,639,242,703,447,711,268,
268,693,944,847,731,263,899,357,594,227,290,494,715,131,140,135,081,561,945,
710,621,574,585,618,799,265,086,345,612,996,398,189,399,814,320,046,487,309,
812,809,415,205,845,482,698,827,053,207,408,707,745,952,532,493,348,849,373,
155,726,177,226,935,253,511,880,458,304,875,487,412,061,185,899,220,005,591,
825,579,054,071,939,559,202,265,630,746,469,630,082,610,089,786,618,500,521,
824,139,425,781,048,107,869,216,385,870,280,202,558,984,920,045,635,016,185,
989,011,415,413,285,260,583,450,315,423,974,558,937,195,208,458,869,394,494,
944,180,320,785,021,160,912,046,289,998,216,825,700,583,144,182,517,405,144,
026,055,213,203,224,406,715,591,079,002,037,009,592,047,191,159,953,183,547,
233,285,715,259,853,953,630,765,569,130,741,187,082,758,715,321,782,081,000,
185,695,235,194,733,422,329,237,826,195,007,323,082,216,717,172,924,074,277,
833,267,289,888,532,921,403,546,894,337,527,638,669,712,763,656,840,119,327,
839,338,241,044,679,709,710,405,100,355,874,375,833,248,183,399,699,416,136,
053,229,621,600,397,074,752,273,468,732,068,387,357,907,149,455,034,566,540,
230,570,328,667,873,421,467,070,262,587,784,134,612,470,070,563,077,882,335,
420,016,533,598,054,265,126,330,086,276,245,494,773,579,238,267,763,720,386,
138,709,536,750,467,961,324,529,339,507,863,447,211,604,796,595,760,360,937,
748,812,703,758,171,753,090,669,840,208,957,732,064,337,912,687,326,326,659,
379,303,887,867,630,591,750,732,640,364,205,085,435,519,995,495,104,176,799,
653,296,727,206,022,690,691,934,022,114,626,108,866,867,125,286,395,019,900,
928,850,852,739,089,830,476,886,605,641,437,518,544,924,188,174,470,328,906,
178,233,386,196,011,118,831,382,105,221,726,454,715,257,464,734,942,353,562,
279,780,566,470,487,219,037,154,924,706,166,230,274,170,945,233,372,520,372,
182,296,820,590,389,404,687,828,172,917,432,109,913,619,107,407,711,288,509,
080,613,944,563,474,237,904,730,191,708,675,059,087,117,601,113,819,404,259,
768,011,314,787,055,165,357,436,642,469,586,572,497,358,925,009,541,126,554,
053,084,128,752,839,530,355,400,043,264,405,797,292,558,995,778,347,383,416,
713,452,662,852,938,634,819,810,991,680,728,121,301,691,597,996,852,847,489,
508,388,340,463,426,418,301,870,134,982,303,852,316,983,601,446,770,239,289,
129,954,293,961,737,348,208,950,495,943,143,869,042,693,539,421,537,971,082,
388,662,200,863,851,008,292,286,205,863,715,065,617,185,282,623,045,960,081,
320,958,135,434,388,066,906,732,451,391,232,648,108,440,055,392,255,553,604,
833,225,452,577,777,280,827,672,662,476,979,930,849,990,882,904,965,976,951,
216,792,277,476,616,930,950,780,128,164,432,745,429,038,137,754,764,092,307,
420,067,002,990,931,719,313,067,492,009,698,801,108,182,999,474,310,307,446,
598,932,391,324,253,350,208,714,616,531,226,611,240,347,242,145,528,867,892,
466,477,948,131,215,775,001,784,717,124,805,753,670,342,434,680,784,357,738,
549,507,376,841,261,688,617,050,538,806,858,755,827,868,881,677,708,199,859,
674,362,006,341,116,698,354,356,113,380,380,917,530,118,244,862,448,335,994,
240,946,958,698,873,749,408,373,246,181,783,910,680,933,219,795,632,441,095,
079,403,819,288,183,744,599,948,139,649,440,580,409,684,185,577,890,827,416,
360,887,917,341,530,883,106,819,704,455,475,958,013,405,486,240,724,031,697,
505,689,351,901,978,157,836,586,798,138,931,138,549,050,852,617,075,259,061,
477,458,693,868,226,559,138,340,304,851,555,390,418,034,412,374,804,787,495,
802,346,742,977,593,521,776,225,961,838,437,094,800,269,532,715,613,231,854,
611,823,762,603,943,857,332,481,185,175,440,386,377,231,005,536,924,797,644,
573,231,968,803,897,445,488,749,298,730,329,769,556,764,354,891,603,072,566,
421,392,432,149,584,368,987,864,634,788,211,491,555,686,944,396,851,388,763,
748,939,645,914,820,262,848,517,103,177,192,071,795,815,853,433,977,613,909,
737,802,204,138,891,780,979,780,347,684,276,898,462,516,488,435,757,991,897,
713,687,897,129,574,288,175,389,406,064,246,953,943,099,615,748,119,065,599,
612,067,402,976,649,600,381,498,104,451,530,550,110,195,270,250,762,927,148,
349,487,314,419,984,180,426,690,125,625,220,511,216,762,263,170,147,727,381,
251,867,826,483,786,585,141,698,002,253,322,748,562,075,588,797,022,181,654,
625,303,462,067,925,085,691,071,722,782,382,771,119,458,148,854,173,831,253,
508,939,493,969,450,945,646,352,695,539,264,231,658,450,719,553,448,840,587,
428,675,023,249,224,149,124,022,420,211,016,378,521,364,383,103,160,938,991,
417,429,814,378,643,181,517,997,558,753,295,626,313,219,752,920,022,120,330,
660,443,432,556,874,645,733,120,223,521,193,058,419,948,860,768,134,883,980,
189,716,966,229,859,643,534,138,690,400,649,055,536,038,885,657,292,017,644,
942,559,717,263,336,215,460,976,327,227,212,028,211,307,435,852,598,273,660,
345,676,051,414,909,818,667,324,010,952,660,780,279,268,634,846,642,435,493,
697,978,048,853,978,812,530,324,746,110,481,879,064,361,595,099,675,475,578,
018,738,053,869,727,240,078,240,817,217,416,747,010,110,173,114,304,782,242,
915,640,486,962,763,484,269,459,382,708,408,461,993,792,454,221,651,807,723,
705,334,511,838,413,304,569,423,006,153,977,781,758,380,913,179,225,615,521,
960,364,550,656,060,927,285,451,820,787,815,103,550,685,806,041,510,984,230,
046,500,053,028,172,694,869,695,066,007,459,770,173,690,590,857,678,907,408,
319,611,373,490,872,143,058,295,752,210,155,667,299,648,280,620,192,274,040,
897,611,741,510,706,940,805,112,117,013,758,994,133,969,988,643,073,521,847,
847,031,244,941,447,822,945,814,328,575,881,117,998,822,740,514,567,127,358,
213,305,032,399,706,323,848,074,028,930,739,288,994,276,083,936,556,674,448,
758,967,780,061,395,409,395,044,926,191,869,754,475,260,635,490,084,454,159,
243,726,195,214,864,482,869,463,098,726,801,783,795,025,173,381,309,836,612,
169,980,725,458,846,607,114,561,737,507,376,564,092,023,422,109,761,234,414,
386,982,587,304,335,917,694,630,905,575,361,301,636,016,573,944,809,520,123,
801,872,360,506,435,498,405,237,134,510,348,970,877,786,396,131,029,017,126,
635,757,903,316,964,998,530,705,245,026,305,428,027,814,278,545,004,853,701,
266,407,552,328,860,543,540,037,321,316,927,778,536,958,931,721,378,710,350,
932,867,967,966,533,292,517,533,752,078,798,710,957,167,309,795,272,469,827,
220,863,889,641,107,644,767,623,805,112,838,243,507,451,070,199,192,167,189,
812,505,689,478,907,997,965,578,580,009,007,562,608,106,523,296,396,838,276,
801,359,588,806,945,265,594,387,376,218,316,623,832,290,472,365,769,012,693,
890,907,914,120,773,976,421,590,351,929,051,356,874,178,442,270,993,094,098,
740,745,749,594,123,330,474,833,514,885,899,161,248,629,470,176,911,112,917,
343,440,384,232,766,558,593,975,208,008,549,359,353,600,881,505,029,501,835,
105,918,100,074,802,215,186,072,406,721,055,042,989,459,458,911,285,369,546,
296,326,628,154,232,765,937,403,838,986,085,599,907,788,704,705,174,281,526,
995,420,386,658,651,118,338,132,352,561,716,810,390,439,491,513,510,644,744,
519,186,614,207,446,403,637,795,748,385,835,637,888,002,485,686,248,806,470,
048,244,509,364,853,352,421,457,167,836,375,347,504,111,484,296,808,568,498,
065,882,088,068,870,697,361,193,362,666,402,200,170,038,110,236,747,326,649,
337,166,965,266,376,677,845,732,678,209,072,191,979,196,454,380,915,292,037,
168,329,356,361,602,928,800,335,106,775,763,632,947,346,334,311,020,854,318,
484,759,390,462,576,646,206,472,612,524,088,691,487,237,677,411,696,548,751,
215,268,894,662,346,300,158,661,481,946,675,639,066,350,376,159,754,093,365,
943,657,363,012,551,719,278,964,071,206,837,395,495,359,021,113,034,797,317,
524,687,062,891,197,004,364,974,657,290,649,137,379,798,684,831,541,176,902,
000,118,676,062,616,552,408,013,418,664,633,020,035,443,640,362,865,719,697,
024,046,175,500,873,449,975,207,462,816,943,317,892,420,252,947,373,919,323,
674,715,453,725,699,069,877,564,635,917,812,884,145,490,854,344,096,540,226,
200,547,220,804,921,919,734,412,545,812,681,253,566,633,214,058,386,938,020,
247,034,275,686,599,710,181,760,467,733,860,582,776,175,063,467,199,704,834,
917,887,658,947,666,619,952,272,734,199,011,203,930,592,750,240,826,308,259,
045,775,206,105,307,301,658,061,225,947,510,154,888,987,236,978,824,298,723,
603,851,740,189,401,031,638,966,272,846,217,295,015,460,101,266,199,114,724,
988,844,465,199,764,471,492,465,206,492,638,458,339,647,411,600,145,624,062,
668,482,514,657,924,581,112,859,278,864,951,660,686,500,391,924,567,405,369,
972,902,918,004,674,445,613,046,302,065,655,942,936,578,213,671,481,302,935,
984,276,691,585,649,833,658,594,524,757,189,492,496,247,552,637,460,251,468,
388,831,109,140,810,459,026,398,134,835,343,985,010,424,195,532,372,751,122,
651,153,288,548,043,389,981,573,040,651,315,668,709,923,704,220,513,540,844,
781,935,104,711,424,421,450,274,162,386,580,738,260,012,054,094,403,631,148,
660,765,418,049,563,989,458,961,502,566,101,286,873,938,734,275,903,158,927,
475,796,488,900,857,769,975,583,570,897,994,980,658,605,290,150,488,154,308,
544,170,378,531,197,058,185,156,630,331,999,857,728,671,828,192,794,205,239,
633,005,996,439,837,770,548,936,495,341,207,715,697,079,180,772,665,920,053,
343,800,137,334,493,908,448,909,180,299,064,086,889,708,497,455,864,943,170,
019,065,583,714,259,773,769,381,147,723,685,618,060,213,372,457,284,861,633,
686,484,782,762,667,846,497,415,519,128,837,780,798,360,071,688,255,932,743,
727,884,617,904,754,520,857,887,715,626,169,329,544,579,209,001,044,924,549,
861,043,691,652,310,382,874,242,984,198,970,662,416,209,753,648,545,467,010,
349,399,419,925,391,525,485,327,573,309,584,313,659,405,444,432,909,083,093,
452,104,482,334,772,843,615,959,774,643,635,213,263,268,269,127,466,082,730,
829,645,836,722,852,220,742,230,303,208,409,032,918,546,667,732,983,040,165,
762,809,118,436,705,747,775,282,061,148,944,685,829,130,473,858,729,546,502,
053,873,391,616,038,584,498,751,972,046,635,441,136,504,773,640,692,050,136,
005,727,981,743,021,325,334,458,505,334,292,921,151,848,813,282,421,324,516,
505,598,498,958,222,438,532,636,246,206,035,809,743,174,418,047,177,182,642,
530,797,789,092,239,669,267,700,377,164,051,149,416,343,873,291,769,144,548,
976,379,272,894,602,511,775,478,237,048,970,222,144,626,727,062,200,094,769,
616,258,529,359,415,626,407,717,833,446,224,117,752,594,383,768,605,268,970,
342,285,047,020,982,096,550,347,676,149,115,525,196,655,337,001,322,842,611,
836,306,378,068,284,124,770,689,213,236,308,676,033,532,086,859,598,759,714,
740,725,238,938,970,106,841,393,959,161,007,748,715,022,185,887,917,313,042,
903,710,334,381,048,102,035,618,062,109,825,963,182,162,803,748,262,467,774,
543,614,105,242,644,348,177,266,967,705,300,288,436,028,013,905,300,941,632,
259,604,851,511,093,053,578,860,093,291,835,312,717,930,612,472,762,286,104,
154,586,245,836,057,222,699,558,715,199,054,970,128,879,553,456,176,926,347,
614,098,880,770,522,303,067,373,194,387,162,158,687,356,387,534,049,453,263,
634,898,424,895,740,175,676,676,133,362,033,886,009,026,424,859,569,804,072,
521,588,512,620,356,047,817,524,748,761,277,028,721,772,985,717,296,111,232,
968,561,880,295,440,439,234,040,091,013,385,809,016,974,251,153,548,398,160,
912,200,817,332,598,933,311,334,322,264,917,622,658,375,196,656,083,718,101,
769,081,305,505,330,371,518,787,312,284,244,101,910,174,626,650,942,558,810,
832,377,892,129,347,369,559,599,105,762,172,806,958,342,900,912,214,518,454,
262,886,904,656,094,137,021,646,325,087,953,567,218,778,752,623,415,405,912,
605,563,678,697,867,014,728,247,194,067,332,467,522,251,168,192,040,852,369,
317,967,122,802,838,696,131,421,493,785,267,632,577,431,542,940,243,119,587,
509,215,887,714,279,802,392,207,828,070,597,100,823,892,507,077,553,000,287,
003,384,449,770,629,361,805,947,802,616,776,623,780,918,062,025,891,161,537,
801,232,737,068,581,336,960,448,372,050,257,870,365,400,248,889,205,369,027,
666,778,858,322,481,260,053,866,457,531,874,184,537,638,900,768,735,572,971,
798,507,700,926,556,272,223,269,960,294,327,138,374,289,526,295,508,570,097,
457,844,813,951,187,799,003,836,249,049,324,965,175,974,353,552,847,491,105,
057,000,902,133,275,491,820,432,207,912,993,847,772,944,134,492,072,163,534,
798,558,127,742,866,939,908,956,874,742,634,804,985,535,333,784,787,723,844,
131,105,572,157,434,004,820,015,598,717,106,992,858,498,063,181,407,712,802,
481,590,194,257,612,614,396,789,144,506,939,826,722,475,627,581,646,245,553,
601,541,275,822,082,313,609,913,271,627,364,909,238,109,065,644,279,661,898,
549,932,430,736,118,240,487,816,374,824,362,884,128,063,151,342,583,120,442,
081,433,139,813,763,220,265,213,731,847,968,633,253,450,529,602,073,947,194,
315,668,357,154,004,612,552,114,995,277,901,519,902,346,593,931,444,033,189,
560,071,796,628,172,703,564,772,363,789,352,280,745,056,144,445,106,887,714,
605,690,054,354,834,619,463,802,873,903,238,282,348,606,059,223,602,575,842,
822,025,172,125,039,190,318,229,035,278,714,313,272,610,463,945,015,064,308,
801,285,343,636,948,242,021,643,332,654,939,177,167,523,646,942,270,836,023,
874,754,519,440,362,651,095,212,425,728,428,894,259,951,885,375,753,560,926,
656,355,243,478,633,487,528,145,972,326,974,396,401,975,172,077,601,268,605,
681,682,720,196,046,054,084,682,611,469,812,043,226,608,235,246,933,182,291,
862,259,749,540,200,636,915,261,997,753,105,159,861,199,789,155,298,832,567,
296,256,432,593,386,166,975,187,708,103,325,884,125,823,181,396,709,469,464,
857,579,270,260,062,088,962,281,808,664,794,196,623,075,342,273,241,132,794,
291,169,939,850,543,699,876,034,452,590,145,416,259,275,891,544,758,583,051,
920,041,583,046,300,730,088,853,866,850,600,490,266,062,917,390,763,573,830,
119,079,696,576,296,880,500,211,100,852,947,816,539,373,740,723,504,253,070,
513,323,603,938,301,830,014,320,098,423,367,428,745,533,818,366,062,975,106,
904,066,603,395,958,927,045,369,023,092,484,010,532,245,907,927,479,128,944,
290,147,975,645,932,770,579,276,394,269,828,905,338,126,002,886,681,112,368,
369,913,073,601,515,324,160,620,477,536,060,793,975,224,271,451,723,917,117,
553,353,882,895,752,630,425,400,083,372,709,112,569,653,593,627,097,139,114,
330,763,885,178,757,447,895,876,813,610,819,043,969,002,891,652,273,540,654,
811,952,814,374,711,836,157,856,647,908,842,479,689,119,256,709,056,000,354,
969,224,898,250,935,355,254,176,106,327,586,578,466,636,533,730,344,995,757,
100,652,879,808,121,546,678,196,187,890,427,413,145,047,059,360,001,163,219,
103,950,375,401,332,081,403,088,185,574,565,751,513,788,517,627,452,409,098,
793,917,260,225,211,668,488,308,733,969,571,034,328,033,320,784,061,671,765,
856,451,686,932,014,762,820,584,195,095,401,001,619,272,311,860,294,718,690,
599,373,925,959,817,473,637,364,233,023,000,085,946,554,287,413,026,854,024,
702,763,773,324,042,974,607,035,940,351,155,245,144,235,038,496,245,303,353,
428,574,112,627,646,000,898,958,576,982,240,254,743,673,924,335,667,815,294,
279,319,540,508,263,427,725,426,473,402,400,590,419,475,798,371,084,863,131,
638,995,462,169,381,033,292,575,141,593,292,064,808,892,525,062,986,365,210,
320,869,850,971,041,109,606,394,226,277,632,755,081,343,401,366,853,239,700,
688,911,650,311,760,640,475,137,303,413,866,662,206,691,040,796,946,688,435,
329,679,015,376,457,033,028,373,960,574,249,635,827,388,276,487,215,213,703,
093,287,105,555,658,813,873,603,477,108,566,540,595,250,245,579,418,241,744,
609,656,831,666,159,112,975,363,405,954,637,543,686,388,732,618,078,006,223,
065,532,320,415,205,357,297,625,068,134,367,192,109,012,149,471,126,045,076,
585,485,160,944,745,134,943,365,888,566,256,281,447,741,540,553,840,706,428,
035,815,411,972,981,522,563,996,595,861,073,847,646,110,324,843,773,149,992,
544,121,077,137,223,672,908,995,278,295,287,034,044,732,539,479,027,441,019,
104,614,108,273,142,507,139,967,253,903,811,166,068,357,519,075,819,182,975,
793,734,819,433,902,221,683,076,503,569,193,374,392,052,199,085,935,416,157,
607,110,680,949,767,785,698,727,454,397,034,743,373,964,108,371,087,605,707,
455,222,491,401,755,256,851,835,451,507,193,132,154,360,933,765,656,132,159,
381,650,793,359,667,660,568,294,986,632,535,224,827,735,808,117,794,659,317,
568,507,941,839,443,242,078,039,529,031,556,150,073,660,097,553,427,920,982,
341,816,776,359,594,202,964,998,105,067,304,143,716,331,038,650,033,809,462,
970,024,126,154,856,171,971,853,661,353,766,022,241,488,291,220,743,481,385,
180,125,504,147,844,362,571,504,256,031,667,522,288,279,180,919,698,896,132,
196,565,483,743,827,660,189,767,389,320,077,821,828,784,645,170,753,218,691,
461,518,385,613,727,351,392,918,895,142,027,088,121,246,953,963,661,763,946,
398,794,715,548,418,169,877,033,932,526,572,134,958,699,184,947,219,990,056,
885,543,231,471,413,585,940,484,426,567,199,781,008,794,739,034,048,238,561,
826,103,286,119,665,123,107,513,537,167,876,142,958,300,423,260,401,834,896,
669,313,449,505,733,274,812,824,524,887,368,994,397,512,270,927,337,938,757,
644,043,693,892,987,638,629,055,521,172,330,780,421,481,630,895,892,460,320,
687,308,032,520,526,657,601,025,792,214,868,902,197,909,060,784,061,552,499,
636,642,016,405,429,749,758,222,264,549,230,725,735,958,886,526,666,292,479,
131,672,025,714,812,992,278,538,001,254,479,017,660,741,606,132,998,233,810,
778,998,065,622,544,200,206,771,840,584,880,072,944,851,781,422,277,306,813,
096,390,984,080,369,581,785,409,958,462,692,452,024,979,654,981,112,473,935,
615,857,250,930,101,214,526,068,698,419,006,992,261,892,973,209,589,616,361,
716,922,094,922,645,864,613,079,482,159,536,342,239,424,961,279,849,324,430,
270,261,590,983,355,170,045,283,489,755,185,510,131,702,986,318,182,281,326,
374,481,086,629,576,343,013,416,566,340,995,246,416,607,657,604,832,694,142,
236,072,687,408,600,687,834,860,106,487,120,857,115,291,063,187,766,801,093,
201,007,826,763,489,720,242,084,809,724,745,214,300,335,214,355,159,275,315,
283,015,489,271,425,357,716,122,243,852,010,390,075,148,762,386,513,218,862,
148,593,663,768,957,230,494,552,724,703,525,008,790,659,261,629,543,748,846,
034,978,802,832,870,845,959,762,136,598,724,425,673,435,051,187,915,204,501,
379,924,580,009,679,119,478,858,378,427,819,755,985,944,619,481,111,253,389,
762,971,988,371,981,636,713,951,801,327,769,172,388,716,602,020,490,772,720,
284,544,787,429,238,678,306,049,667,487,114,710,635,350,548,930,459,676,275,
650,603,767,668,300,921,915,375,070,544,470,928,587,163,764,556,122,333,116,
625,269,090,844,563,507,986,704,454,831,547,496,381,946,725,339,977,571,898,
757,565,849,728,987,508,224,512,673,077,425,814,412,012,209,228,561,052,199,
711,752,767,733,790,856,814,042,934,168,580,213,842,552,596,822,563,948,825,
407,904,933,671,073,578,665,332,495,208,834,535,307,383,250,783,823,746,883,
322,824,441,395,574,216,224,327,846,613,376,556,074,938,572,873,605,314,281,
368,417,157,793,971,881,962,347,439,530,586,468,470,778,589,099,446,222,087,
985,036,609,847,402,217,040,069,261,624,350,331,345,887,404,175,770,307,862,
696,090,903,153,263,373,747,585,492,464,533,101,695,030,652,246,413,469,628,
384,107,075,333,248,979,827,822,165,714,784,024,755,891,399,662,883,258,567,
457,038,490,696,820,140,762,152,366,821,795,865,285,172,958,952,102,991,161,
441,745,356,856,452,687,003,624,581,426,071,623,081,401,952,415,708,142,790,
375,412,991,307,121,410,942,519,172,035,125,326,148,772,635,198,953,411,964,
921,919,480,168,000,475,417,426,291,811,758,875,895,073,235,456,819,619,690,
904,961,045,859,514,344,577,630,656,562,506,555,826,544,093,383,158,816,843,
810,264,153,310,496,373,268,743,037,956,507,638,234,485,048,334,557,328,989,
580,153,448,380,003,052,693,459,667,808,464,429,860,241,742,023,166,072,492,
151,288,279,547,331,262,557,528,967,580,009,253,440,439,245,553,291,857,775,
380,472,733,198,077,912,560,059,638,568,374,999,768,714,977,835,437,351,570,
193,469,439,093,679,167,657,100,067,026,399,344,583,829,624,769,894,192,895,
221,489,041,236,537,248,366,640,015,014,648,915,804,265,112,843,481,480,235,
553,027,191,491,564,959,442,831,190,440,035,420,952,328,518,657,973,270,578,
222,196,387,266,733,442,493,407,039,762,926,223,658,666,292,569,060,061,096,
019,711,527,478,310,337,614,943,325,211,067,971,267,947,891,240,048,235,166,
492,241,547,487,812,222,680,692,666,551,018,954,421,881,230,453,536,899,589,
874,300,367,803,460,874,800,888,844,900,809,750,585,935,260,500,254,948,198,
678,138,326,590,377,248,227,859,637,402,089,496,065,026,533,614,840,542,639,
433,174,021,917,988,741,415,773,308,221,310,691,289,174,871,797,122,387,057,
257,439,607,223,927,383,745,440,632,511,460,965,637,962,832,587,512,781,803,
504,820,247,314,277,391,010,708,303,189,354,742,639,711,008,450,076,860,818,
632,100,724,050,054,609,479,074,861,335,925,265,014,339,311,789,640,685,977,
136,890,405,362,523,987,583,153,438,202,446,500,861,221,686,822,278,050,886,
210,152,516,354,755,389,546,901,035,525,987,473,519,214,371,611,511,991,496,
311,746,127,077,944,659,225,892,609,546,740,924,399,401,006,339,108,371,225,
318,767,137,949,736,977,506,112,677,718,934,789,706,707,691,429,457,953,245,
281,325,897,327,723,591,168,413,440,275,706,524,417,202,316,727,955,058,678,
339,811,648,680,467,573,104,630,335,055,302,195,218,047,880,137,410,945,126,
968,895,701,931,813,548,121,936,932,699,585,728,122,023,823,851,256,353,915,
917,573,096,505,216,629,308,513,528,795,812,376,331,532,892,144,738,908,223,
306,835,928,232,857,420,767,389,283,565,684,325,681,155,320,479,821,639,903,
814,615,145,919,011,463,104,959,162,456,917,316,921,659,327,898,449,557,441,
201,650,371,902,607,800,106,867,283,499,931,688,601,787,010,566,426,463,197,
117,145,850,778,160,888,733,208,288,029,693,728,177,424,982,574,300,148,396,
507,925,153,983,080,600,114,682,508,341,324,990,313,687,051,858,123,977,499,
786,788,053,148,654,428,214,153,856,442,876,142,489,809,567,092,509,456,032,
726,305,371,335,583,478,427,706,424,899,926,181,311,250,800,931,393,220,424,
417,365,192,504,484,422,617,593,972,046,953,853,620,127,002,981,115,170,088,
526,552,435,896,398,009,855,015,040,004,533,529,349,397,942,031,039,565,347,
888,532,975,121,305,593,633,705,926,550,243,217,311,725,924,700,780,907,685,
573,346,365,430,310,510,182,083,106,205,418,885,101,469,434,413,518,245,205,
586,372,885,072,111,828,770,730,467,686,518,250,919,811,306,666,815,539,354,
136,894,677,114,550,388,216,866,238,297,599,291,589,464,442,416,326,331,252,
880,066,863,060,260,517,061,799,169,892,359,357,926,144,758,099,371,981,767,
697,506,230,752,058,406,120,699,114,510,381,902,196,820,828,046,051,487,058,
615,828,465,684,760,066,769,794,680,473,843,661,913,398,431,199,949,272,663,
243,470,729,573,024,253,537,992,729,357,592,061,360,756,773,240,765,837,886,
372,135,184,399,666,529,565,320,527,597,273,526,358,019,347,363,086,598,353,
651,549,193,426,707,843,663,290,044,185,536,270,114,982,392,185,864,460,845,
531,903,288,886,371,659,858,357,396,496,868,801,286,362,574,831,977,133,826,
932,730,798,566,635,727,582,322,355,235,294,336,388,367,954,144,267,496,861,
389,027,010,217,853,874,703,283,224,901,327,499,874,759,455,629,783,241,065,
016,078,300,004,917,672,663,844,634,219,947,737,919,687,932,996,824,978,883,
489,969,549,195,656,617,169,999,210,347,612,845,053,982,323,395,185,269,336,
429,253,770,031,398,201,683,641,367,750,045,828,947,622,237,625,089,340,396,
705,653,185,241,379,083,020,461,537,692,497,082,777,362,793,830,155,714,764,
339,607,221,625,287,289,726,699,908,073,663,990,320,471,179,158,468,142,438,
767,580,447,869,949,797,580,275,302,707,911,677,909,782,150,282,860,154,834,
113,243,026,157,217,134,787,108,834,892,132,857,278,317,532,246,329,403,549,
345,140,867,518,206,857,989,801,890,313,927,743,197,298,050,343,186,699,112,
254,511,284,137,779,400,277,386,435,070,527,117,244,368,008,163,279,073,621,
285,847,190,353,554,473,438,580,238,323,858,160,635,182,511,156,873,716,482,
630,104,725,579,209,598,112,192,215,925,753,812,074,147,800,069,011,739,825,
636,506,938,279,970,492,315,885,533,132,614,123,631,043,555,634,039,611,153,
570,796,965,994,202,753,010,743,758,446,732,311,845,551,091,932,686,762,635,
346,807,005,829,322,154,202,415,832,278,841,801,088,778,459,026,585,850,160,
422,806,407,316,154,498,683,861,562,852,624,581,836,716,134,632,185,752,609,
929,927,199,482,076,071,850,362,952,190,456,561,153,038,355,426,120,648,660,
009,843,827,480,330,418,986,277,248,844,344,314,285,230,954,095,157,360,115,
016,506,507,211,870,414,059,540,792,633,690,055,467,067,796,441,491,246,673,
497,560,551,773,927,692,187,446,861,306,183,469,007,046,558,231,907,673,625,
589,362,150,809,889,192,757,743,177,351,952,031,520,605,861,620,500,025,738,
548,269,154,911,466,777,265,009,446,935,530,532,878,622,214,351,999,531,282,
701,180,182,550,059,564,341,994,593,989,762,251,882,074,542,078,334,907,688,
800,633,483,068,029,873,898,929,891,110,291,810,838,544,981,531,421,919,592,
288,715,966,853,271,070,303,067,592,007,475,431,071,915,980,911,714,156,855,
161,199,739,612,786,094,952,903,902,349,071,286,694,394,772,939,499,153,945,
824,821,456,520,986,976,220,558,861,232,309,721,125,946,656,540,197,126,542,
868,887,882,843,671,887,198,579,030,975,783,171,502,473,760,325,477,868,524,
621,763,243,113,916,935,184,765,473,628,790,998,297,156,399,477,206,209,301,
098,087,604,423,519,268,675,559,348,901,757,510,024,844,287,349,073,029,479,
000,510,597,322,356,488,477,976,740,088,165,773,166,304,056,106,730,416,948,
836,902,137,495,784,957,422,388,277,669,715,593,437,250,784,520,001,514,035,
559,330,379,300,076,350,124,378,270,991,997,825,457,373,311,008,861,968,919,
362,321,066,371,674,698,673,336,085,633,463,451,981,894,435,959,482,008,476,
860,287,855,145,073,904,786,099,597,555,953,089,893,098,229,319,220,127,015,
892,809,441,984,336,569,091,242,123,271,900,910,996,269,225,744,451,020,575,
944,257,474,949,453,936,463,373,966,567,419,507,528,424,600,596,678,697,385,
383,908,977,943,634,754,556,589,247,719,006,118,864,228,103,504,024,182,225,
996,148,847,496,164,718,954,039,156,421,665,293,679,660,308,553,086,818,623,
506,234,752,139,609,215,585,905,018,405,475,963,927,592,471,919,675,432,772,
491,679,512,224,542,341,469,609,610,513,568,542,696,329,404,604,998,839,132,
687,150,192,378,631,231,681,760,446,137,170,842,145,103,955,131,024,324,942,
107,945,017,125,471,681,032,649,723,503,650,637,209,193,455,434,816,932,311,
451,803,524,797,429,697,347,110,200,142,654,425,758,531,232,956,415,465,235,
895,941,105,507,949,751,677,166,612,647,144,802,209,731,181,685,782,571,707,
868,781,253,505,688,416,092,142,060,516,381,153,557,384,506,103,505,561,088,
704,516,951,085,079,288,522,971,455,458,917,260,176,427,814,270,306,080,744,
368,386,374,866,494,854,168,226,971,888,404,805,553,233,238,794,766,508,967,
612,960,888,511,404,786,790,526,711,331,252,498,678,231,622,951,593,202,083,
004,462,450,767,284,958,324,069,359,178,159,584,420,584,924,165,701,815,569,
497,783,220,154,827,471,305,128,466,779,485,233,701,579,631,407,889,624,213,
792,280,974,565,252,185,280,417,159,626,453,164,503,807,167,326,992,328,598,
960,402,403,597,752,826,088,687,095,054,971,669,673,466,656,429,643,810,767,
357,789,797,334,132,315,902,848,488,603,249,714,734,441,006,897,190,479,969,
325,348,026,146,385,166,028,752,999,834,986,050,920,671,510,410,459,831,076,
946,810,594,429,331,805,860,418,296,075,778,779,794,115,702,609,675,656,787,
611,075,135,986,267,799,231,804,089,821,002,976,281,279,783,339,020,525,430,
808,806,911,331,215,648,093,200,000,077,054,129,373,733,574,210,534,895,750,
298,508,277,832,066,307,222,043,926,998,296,489,617,478,649,004,076,799,047,
193,270,980,152,933,171,701,792,626,541,816,209,860,935,441,041,123,984,308,
960,357,639,703,011,211,377,853,957,301,931,041,574,991,730,097,319,459,082,
058,161,541,203,483,615,248,171,205,435,093,418,440,785,346,272,296,984,402,
210,429,026,159,512,880,659,373,760,822,440,038,191,162,197,926,229,557,029,
894,640,134,893,851,769,377,520,375,678,970,790,970,794,236,037,854,037,564,
077,757,510,333,919,338,770,962,849,868,359,692,951,052,394,145,361,329,187,
457,715,890,484,961,302,868,706,016,994,310,303,887,291,529,506,273,148,670,
305,695,911,461,814,515,040,051,313,676,386,134,452,833,002,065,997,232,743,
155,472,030,815,852,115,771,157,554,299,542,494,541,999,227,571,066,673,049,
238,414,076,849,607,115,250,309,364,539,339,835,575,235,328,919,754,425,312,
607,499,036,541,540,650,901,970,302,520,742,563,096,924,196,675,561,625,381,
122,235,978,369,914,801,824,471,412,416,309,316,217,186,057,525,806,365,929,
031,576,068,037,841,127,058,568,669,999,803,291,396,200,711,667,166,461,132,
256,289,318,468,199,415,176,298,127,517,078,323,880,631,816,661,005,378,823,
604,849,386,097,711,224,287,881,444,216,886,555,238,502,133,789,274,880,150,
918,903,535,475,201,519,960,195,613,554,148,423,248,798,947,071,098,266,689,
137,537,270,594,815,921,124,760,032,294,052,449,283,456,868,143,906,917,019,
922,762,048,584,403,350,521,081,659,256,688,466,129,384,203,865,251,648,139,
558,215,337,615,953,465,091,159,371,772,322,327,557,104,265,650,739,554,021,
053,321,487,681,152,895,603,079,194,848,232,001,947,247,649,722,739,147,386,
992,487,724,100,997,144,638,971,585,335,353,202,337,165,344,637,313,703,747,
153,195,804,003,090,860,573,307,330,593,345,921,958,883,316,650,607,825,248,
362,473,408,727,736,898,011,857,622,144,830,097,874,440,018,752,677,525,033,
518,353,633,437,074,135,985,391,800,932,979,066,280,704,742,026,642,062,137,
295,897,560,572,186,147,450,858,026,840,184,562,588,002,621,395,155,215,480,
201,033,613,657,634,255,860,901,206,553,371,294,880,517,147,465,083,563,116,
762,697,871,560,538,599,272,826,746,422,769,272,406,864,516,442,573,621,075,
813,550,496,475,708,395,286,995,965,680,247,618,391,831,978,100,638,685,411,
999,392,717,292,754,740,777,897,399,671,522,662,396,027,722,603,440,870,297,
998,097,821,430,106,460,067,014,927,109,039,520,185,347,927,856,762,236,137,
383,910,664,896,082,556,404,567,258,976,722,642,617,167,146,149,429,346,025,
318,606,810,800,136,926,584,478,443,010,333,278,334,183,657,557,955,540,972,
381,795,325,584,518,148,275,036,759,882,149,982,083,635,247,911,743,836,749,
839,953,027,844,703,481,844,967,672,760,230,082,971,216,078,857,690,745,150,
480,211,653,097,534,313,371,972,751,643,430,620,540,110,982,400,378,599,752,
110,968,819,343,748,337,662,540,714,254,815,399,337,770,042,293,698,880,198,
113,446,417,138,462,217,679,029,213,058,688,500,096,985,856,077,720,794,184,
428,800,290,569,377,865,367,415,808,896,838,176,995,979,368,025,632,414,780,
717,559,292,777,273,176,923,927,584,571,942,759,314,214,618,561,799,941,923,
343,385,697,149,192,817,324,385,730,791,793,942,336,724,877,854,190,759,303,
997,196,143,236,240,475,177,264,100,579,643,633,635,136,728,938,185,282,411,
392,431,246,915,105,735,506,479,964,519,281,524,909,424,319,709,665,167,749,
548,766,899,451,248,512,945,901,863,855,981,198,059,894,381,586,634,693,025,
795,000,292,385,132,470,898,417,393,369,139,421,780,121,574,885,181,875,044,
572,696,479,181,496,781,767,349,446,420,524,613,685,252,357,824,925,025,765,
977,444,299,478,993,774,292,349,572,159,582,728,108,569,979,463,175,853,779,
506,858,826,752,152,174,232,151,912,641,474,459,480,424,103,861,182,880,304,
329,866,794,153,962,894,785,428,106,291,360,249,374,964,981,384,370,925,440,
182,003,277,762,612,532,887,937,275,256,015,062,294,115,591,770,309,190,648,
264,759,660,402,505,176,993,546,432,063,788,824,458,887,034,374,051,089,596,
630,875,722,803,836,675,158,784,345,853,039,497,044,351,129,976,446,367,152,
257,543,495,751,080,967,470,373,386,406,640,722,134,087,325,744,915,098,436,
448,855,883,838,444,030,961,674,809,918,793,063,913,157,940,198,278,309,134,
337,481,390,587,821,741,939,350,406,270,940,277,674,136,139,693,683,674,893,
791,372,465,437,628,140,093,804,155,023,337,821,727,407,858,275,833,561,374,
850,234,810,019,345,245,210,125,798,445,819,056,480,195,915,038,133,041,602,
303,130,134,427,293,202,889,437,919,751,034,951,951,681,245,315,712,994,524,
616,528,066,156,752,315,006,106,552,443,202,702,066,208,114,205,437,612,139,
004,821,343,440,919,481,189,105,117,677,072,772,488,490,084,111,768,527,938,
023,238,290,757,412,062,468,746,813,170,792,910,339,190,793,587,395,058,198,
962,946,805,885,528,142,651,257,154,813,648,800,213,648,406,985,628,839,264,
433,000,659,798,719,408,872,698,870,384,774,260,269,270,418,118,694,093,702,
974,459,439,525,901,730,876,455,097,302,543,306,654,816,543,667,264,017,832,
417,518,859,228,701,329,245,996,433,373,479,866,809,327,408,719,922,600,175,
890,215,065,514,373,957,766,627,492,836,647,280,300,029,015,118,706,640,425,
629,171,324,962,807,158,927,411,393,921,185,752,613,775,537,720,386,577,246,
432,337,805,789,866,775,772,531,784,864,194,949,422,097,030,221,191,128,183,
119,498,766,664,223,570,131,616,771,129,294,278,293,189,168,586,199,127,228,
238,500,265,253,258,666,283,252,051,323,292,467,414,191,374,724,857,540,411,
986,986,813,363,347,009,243,117,983,929,198,997,813,956,231,892,000,432,775,
632,130,615,137,214,857,091,863,307,118,043,123,514,002,263,339,874,782,512,
785,117,415,667,025,823,924,133,584,274,006,309,617,774,571,164,426,230,537,
029,115,033,815,820,817,503,371,397,991,671,476,092,891,696,446,976,943,327,
751,068,701,787,746,065,666,397,906,889,142,941,865,124,078,066,297,278,028,
212,790,699,870,872,088,390,278,708,727,212,170,727,409,222,086,818,025,135,
406,697,471,594,567,556,163,231,619,203,723,408,849,780,116,383,859,001,017,
914,425,209,132,020,714,686,874,273,948,607,416,402,978,144,778,969,465,341,
814,749,829,684,028,008,674,304,626,640,637,597,890,134,780,439,305,802,832,
938,859,083,062,523,585,490,923,856,236,469,142,818,079,222,420,646,338,324,
269,069,967,382,426,970,733,839,460,957,311,678,257,793,844,313,518,929,685,
293,082,147,559,586,007,513,563,557,018,846,827,983,396,501,781,642,481,044,
730,628,180,808,530,874,878,082,901,112,916,454,450,420,029,740,922,808,513,
326,433,229,806,196,615,536,401,318,232,353,097,466,935,647,071,645,471,434,
549,602,113,927,534,005,781,342,562,464,257,443,944,519,670,632,791,192,583,
875,940,348,141,680,350,223,400,823,050,411,174,426,035,661,932,102,188,391,
951,932,175,253,729,312,383,937,843,638,043,617,722,324,554,103,157,856,845,
143,302,777,214,403,573,182,545,213,436,049,916,743,776,277,519,711,563,491,
463,969,199,226,995,387,746,904,828,108,359,455,302,239,108,867,926,187,625,
999,226,515,094,680,909,953,869,226,715,164,292,557,456,978,435,451,019,534,
291,942,261,595,605,688,867,555,746,698,132,363,915,591,525,609,843,441,013,
259,900,408,583,948,342,257,096,857,650,834,940,670,168,535,866,678,626,236,
615,745,188,829,499,010,350,879,296,858,082,541,324,449,538,540,431,399,292,
936,426,935,221,271,619,092,660,365,565,002,544,784,297,153,140,048,273,430,
865,848,590,079,078,210,884,551,087,049,969,058,004,250,769,078,389,931,567,
976,370,131,349,022,665,712,310,767,539,458,051,478,554,006,522,487,459,935,
087,171,117,844,250,093,061,269,601,970,154,065,456,112,820,867,846,528,965,
214,293,526,866,932,393,615,143,050,974,399,911,300,132,251,621,328,651,223,
038,533,024,033,338,385,740,032,673,780,031,871,712,301,181,677,765,916,383,
667,039,010,207,608,637,905,069,357,421,618,863,584,656,325,097,598,004,989,
852,702,807,824,435,135,199,401,091,580,142,535,932,957,051,700,257,224,288,
496,664,407,379,273,215,767,990,132,210,227,715,875,092,141,523,061,830,835,
717,198,051,908,256,392,266,878,155,434,591,558,630,403,714,410,391,101,073,
477,339,054,810,765,703,840,116,900,620,885,971,426,800,917,325,264,604,399,
293,634,481,448,626,896,019,516,001,000,412,189,552,604,806,092,669,168,686,
469,539,101,098,573,743,409,258,596,406,635,184,576,288,530,391,191,983,323,
105,545,948,646,932,077,994,626,041,131,418,137,568,217,490,353,740,062,833,
028,941,719,917,012,150,653,793,178,411,238,146,241,144,445,471,067,269,672,
161,325,821,536,492,990,457,878,565,404,146,275,356,565,600,189,362,829,359,
625,956,953,952,502,101,131,480,567,658,214,166,647,955,671,717,726,756,895,
802,874,005,296,033,247,200,811,069,337,477,841,217,461,154,390,966,211,336,
696,549,305,147,979,398,672,856,278,162,070,020,981,821,147,271,344,837,094,
019,149,276,971,373,487,519,011,345,733,959,865,807,184,445,917,239,427,453,
279,228,072,850,592,733,390,872,268,788,270,655,635,950,822,611,687,273,866,
472,882,623,519,643,644,161,874,062,018,483,087,816,319,689,954,294,353,005,
277,399,153,875,554,080,200,951,834,595,096,417,014,317,162,501,153,946,244,
856,339,334,978,913,546,899,914,470,767,801,332,033,381,191,754,517,472,681,
159,515,457,477,031,563,064,063,540,892,554,139,885,877,128,071,804,374,656,
053,055,681,592,374,128,777,329,815,626,169,893,937,027,678,778,595,449,045,
941,418,287,231,413,676,530,641,608,341,644,438,858,759,357,283,984,372,316,
162,219,415,827,786,799,873,966,351,050,463,264,534,166,821,468,176,430,631,
578,192,209,367,389,110,781,232,131,928,992,612,157,340,691,801,360,716,245,
285,383,037,256,355,278,884,499,888,890,196,089,006,079,027,963,676,908,741,
446,319,873,063,266,184,235,308,408,910,847,471,550,678,167,350,198,961,955,
115,681,240,513,628,381,573,344,050,378,776,732,393,877,026,620,516,887,807,
943,031,370,253,067,990,014,699,019,932,603,999,939,734,548,580,684,676,776,
451,637,433,396,292,739,345,089,944,357,464,559,879,197,768,342,682,925,519,
059,059,354,691,352,733,971,390,796,782,978,391,657,754,691,412,917,291,241,
953,534,014,102,568,812,096,430,134,154,313,711,992,729,316,599,622,650,789,
174,201,759,553,339,524,164,647,157,558,622,218,925,189,510,385,431,885,045,
019,933,499,795,026,585,708,245,347,168,591,461,124,114,402,664,501,841,424,
650,291,254,003,510,846,795,170,518,728,458,495,011,864,439,575,238,195,671,
227,368,182,191,241,688,887,787,465,859,828,887,237,669,370,015,441,274,014,
901,922,258,446,576,434,141,872,429,566,072,683,093,125,464,668,568,977,310,
648,881,399,596,239,886,529,781,390,845,575,078,998,168,730,127,085,545,512,
173,029,297,144,172,833,672,307,358,825,807,289,423,577,341,304,855,484,121,
214,121,274,517,326,883,738,725,692,694,675,146,884,674,500,809,407,691,818,
981,524,258,399,756,278,612,540,281,971,056,100,556,458,022,828,070,728,533,
008,100,797,818,246,621,730,788,446,922,122,839,279,551,210,709,552,075,966,
663,728,147,165,700,127,059,554,672,036,341,272,544,117,022,363,463,478,590,
768,895,531,897,339,978,069,649,725,890,133,992,933,531,187,765,573,767,852,
283,370,161,986,733,351,655,456,397,318,574,842,939,660,552,056,085,344,798,
810,553,033,652,557,554,605,054,577,534,967,923,906,267,312,417,828,703,235,
791,326,612,020,557,300,638,229,549,840,732,985,196,096,635,782,144,384,524,
937,701,911,024,026,421,482,690,137,487,236,186,390,780,945,299,478,747,058,
272,753,722,919,610,719,720,323,257,226,910,358,557,583,387,533,853,762,701,
518,164,672,464,688,159,347,118,317,264,563,341,426,009,087,033,440,682,831,
995,893,309,127,318,015,369,952,586,665,504,180,667,257,005,493,882,917,612,
603,634,818,161,757,622,883,971,048,036,748,324,076,883,746,767,997,008,866,
151,385,147,095,973,975,474,565,959,078,753,584,879,396,167,591,205,121,378,
327,107,705,919,774,541,305,903,425,042,382,447,021,891,015,696,735,777,256,
255,784,281,111,188,649,167,605,888,491,061,764,546,893,053,610,830,264,026,
023,678,099,754,751,823,269,616,107,285,781,458,839,895,792,365,710,158,877,
258,556,778,306,686,150,596,513,476,617,799,054,721,862,204,771,136,332,647,
893,337,202,673,342,790,548,089,792,937,649,625,832,399,344,361,387,012,690,
846,940,637,844,985,268,943,644,602,460,641,622,975,120,083,563,578,031,819,
717,869,001,395,346,915,483,477,934,923,154,781,599,345,037,581,268,704,823,
623,289,158,095,274,731,533,628,472,368,628,214,328,174,471,316,819,911,963,
826,967,160,517,238,262,634,578,367,707,952,318,194,957,132,610,680,604,415,
024,796,739,391,338,684,870,660,226,227,513,554,683,821,934,059,322,355,984,
671,433,479,960,889,109,831,903,955,426,571,157,126,519,549,213,443,132,404,
568,476,058,133,553,531,589,901,216,459,246,740,082,189,630,076,046,251,379,
235,179,212,053,868,815,823,845,090,702,634,450,719,150,596,953,686,185,440,
679,303,832,795,157,244,627,284,241,080,917,272,682,884,279,807,113,680,099,
512,235,893,408,833,784,855,970,623,590,866,504,804,889,658,542,790,029,092,
695,050,607,265,576,443,470,979,251,700,035,853,834,591,033,189,839,654,863,
625,368,789,806,170,741,926,758,139,838,979,681,097,519,747,898,458,628,682,
640,369,083,928,998,211,245,065,733,000,983,873,842,258,658,072,987,170,419,
916,124,526,450,404,041,700,065,564,685,443,646,951,591,309,153,783,493,731,
483,964,965,657,123,280,730,851,205,327,294,095,753,263,286,185,724,269,470,
948,868,823,066,699,443,237,378,237,939,728,528,967,448,576,566,444,257,758,
461,541,910,728,691,132,697,379,074,893,406,013,055,224,198,163,107,786,335,
709,330,585,261,923,153,213,342,324,173,308,522,618,458,487,806,239,303,355,
352,331,698,033,406,523,706,445,744,452,929,763,580,583,173,362,768,538,604,
989,609,958,204,483,912,635,092,054,393,190,985,230,479,852,225,127,307,905,
086,202,630,763,976,691,555,333,186,451,633,155,781,284,085,649,796,365,627,
277,128,240,676,531,916,234,341,065,462,692,744,557,267,091,049,249,793,411,
689,326,424,159,283,351,263,107,008,945,059,463,306,098,880,906,245,014,551,
203,008,003,493,876,024,926,877,520,927,944,120,434,409,027,357,259,917,876,
131,124,008,537,093,393,014,182,682,158,249,198,978,195,984,383,974,644,721,
166,943,691,538,083,968,056,707,754,724,010,082,582,323,884,213,283,105,744,
917,531,735,474,123,432,845,527,108,489,689,755,969,644,169,482,651,406,966,
628,884,858,253,058,234,183,392,886,259,528,267,195,421,964,483,264,613,502,
593,891,938,839,441,305,225,493,155,306,744,403,065,036,945,185,569,815,935,
233,492,220,253,846,695,911,089,668,549,743,593,582,019,386,246,153,105,185,
113,595,761,003,584,284,197,553,460,629,159,860,320,554,395,972,789,229,556,
316,504,586,530,593,702,763,449,874,240,527,048,524,002,693,487,907,404,573,
130,639,578,090,146,643,820,195,954,659,488,867,157,588,610,158,773,499,046,
366,265,606,827,270,517,361,631,977,967,639,775,985,308,278,486,446,759,610,
677,425,710,843,494,817,611,777,562,552,015,332,578,471,598,718,594,914,974,
786,068,158,304,302,481,338,157,720,060,574,335,594,548,815,438,191,723,825,
467,011,730,361,078,919,267,533,098,320,817,238,816,126,761,461,889,045,528,
354,027,211,629,879,004,862,940,366,371,336,258,278,646,305,307,496,649,545,
205,769,856,153,664,520,222,709,707,941,927,558,711,833,743,793,675,036,879,
722,696,865,076,893,513,202,475,671,087,725,117,271,984,186,908,215,589,301,
921,844,855,197,661,193,221,915,497,806,863,552,815,127,091,993,837,784,392,
135,095,301,183,482,962,131,301,164,221,439,508,892,783,973,358,277,012,896,
691,560,755,144,011,076,096,249,713,851,474,122,460,257,130,877,763,168,181,
077,216,106,213,148,770,326,062,003,103,830,104,196,756,476,311,165,922,444,
344,032,816,362,510,141,458,168,455,482,142,289,300,066,347,959,398,029,131,
556,218,923,753,743,766,625,156,837,514,022,455,767,620,494,322,611,611,228,
594,619,224,061,387,571,816,906,029,439,304,077,537,086,739,741,135,750,782,
513,591,560,137,902,244,673,017,223,348,531,781,118,677,690,975,090,297,619,
680,240,657,078,429,508,408,563,223,479,828,840,095,958,652,062,027,683,898,
806,780,745,865,964,018,251,027,322,092,033,742,379,357,431,864,343,271,550,
615,484,733,774,229,021,234,138,059,662,948,555,658,065,136,566,319,598,985,
689,427,210,127,750,578,004,953,299,274,203,231,198,565,697,665,462,732,607,
813,351,168,897,809,373,616,867,682,988,869,883,551,464,401,082,621,810,516,
089,435,324,710,315,949,003,237,682,621,040,251,281,126,166,915,101,601,478,
828,791,648,695,490,352,618,957,345,075,032,684,689,078,287,530,438,842,084,
223,880,878,087,036,107,980,956,366,197,780,674,295,006,477,817,736,466,244,
822,805,096,429,048,668,649,629,016,254,208,446,497,181,489,716,977,266,891,
041,092,246,515,173,413,104,940,253,375,585,130,133,143,966,647,869,988,368,
124,361,345,179,148,406,675,195,214,845,692,547,687,353,382,645,372,624,057,
987,306,525,541,256,298,585,555,947,794,473,623,555,755,952,261,485,867,591,
717,073,152,136,723,210,141,826,513,812,515,559,749,801,687,163,817,162,595,
608,634,304,168,476,769,010,000,638,863,907,962,825,315,798,470,208,643,644,
538,972,595,375,590,088,368,597,241,688,005,963,214,181,489,725,601,179,884,
009,397,438,076,303,072,963,163,234,443,147,722,398,305,711,462,185,246,776,
845,956,220,666,604,238,804,917,403,027,115,117,295,032,703,946,049,046,091,
511,150,522,665,364,060,855,169,457,012,753,064,069,382,411,470,201,762,152,
676,023,902,250,430,708,639,053,445,129,934,648,681,767,803,526,812,137,576,
567,183,873,466,775,244,506,162,523,984,767,086,162,529,844,246,723,892,909,
532,147,920,084,463,426,882,688,624,431,898,999,649,034,594,679,095,298,716,
359,337,211,413,430,877,695,824,696,814,164,838,350,144,071,825,989,830,744,
069,559,868,685,749,621,569,807,317,883,139,895,094,073,784,597,311,014,410,
327,676,114,444,434,582,444,259,780,891,098,401,054,323,598,368,336,754,343,
571,566,848,409,872,533,323,405,993,262,932,335,764,444,797,318,227,239,294,
516,853,476,147,162,339,069,913,423,535,834,679,731,050,412,366,711,517,289,
796,080,519,774,896,085,243,879,226,313,883,410,541,386,392,039,333,718,267,
666,981,129,817,959,517,607,947,326,973,338,512,728,959,894,971,786,424,595,
172,614,100,374,205,622,652,286,368,221,978,685,457,879,811,305,028,329,867,
574,533,689,448,159,766,844,576,847,613,938,408,699,951,032,837,764,503,792,
986,576,195,677,183,066,065,316,923,076,263,454,266,708,572,719,260,314,078,
474,523,572,343,706,392,250,816,197,657,122,643,032,226,090,758,534,510,093,
857,056,856,581,228,503,607,403,041,993,051,971,222,724,548,495,066,649,106,
341,540,413,310,567,969,392,255,925,826,498,906,596,795,571,145,170,262,318,
540,109,045,866,519,914,645,557,553,354,511,394,866,030,706,844,709,094,820,
355,592,139,708,021,338,835,856,199,490,877,446,106,703,031,106,101,124,784,
959,984,802,268,641,626,967,432,377,445,297,753,319,458,528,402,252,428,133,
616,720,373,756,782,130,438,884,216,839,790,381,548,976,151,672,657,590,472,
950,375,227,283,306,801,256,966,929,177,958,155,807,046,366,401,646,997,209,
198,729,606,178,545,093,490,644,348,733,905,021,434,102,533,346,387,487,649,
821,443,075,064,970,960,148,793,542,020,952,375,770,058,998,659,925,880,105,
513,247,281,992,952,128,777,713,887,069,193,856,093,971,829,462,780,211,811,
323,926,897,368,577,308,950,131,209,867,246,499,301,552,920,883,936,874,963,
957,881,768,298,032,866,787,998,396,614,094,545,553,491,899,976,938,871,659,
069,678,733,573,768,620,114,970,177,128,838,846,884,805,031,735,352,545,707,
627,034,089,912,298,989,018,482,313,379,492,913,068,852,415,064,331,306,296,
326,431,321,936,385,730,800,006,687,966,596,879,246,402,415,931,691,060,914,
984,866,959,160,731,837,360,251,013,086,030,693,810,838,015,682,352,520,727,
274,914,778,558,725,597,220,432,277,237,298,584,564,089,106,999,264,922,427,
456,547,533,672,853,116,319,950,803,440,289,885,644,614,975,409,599,907,644,
756,957,556,580,582,447,794,625,002,505,247,636,038,802,405,285,440,435,463,
782,348,580,326,730,680,340,515,112,787,094,927,827,673,218,776,340,397,040,
205,164,863,325,751,487,306,917,233,015,175,273,177,042,597,216,572,342,637,
883,729,467,455,479,567,622,499,959,620,058,153,363,368,097,629,427,531,799,
270,494,968,433,665,915,076,590,863,236,496,037,885,246,519,763,911,036,908,
491,913,398,828,065,829,691,025,990,335,953,644,807,075,529,900,525,396,432,
480,287,177,203,345,062,561,456,020,141,234,496,606,187,768,872,936,831,714,
451,467,160,825,630,759,567,047,269,213,829,078,142,911,288,518,404,639,053,
758,927,008,171,630,042,116,985,662,081,373,100,572,518,982,479,049,133,215,
795,129,388,595,033,430,605,867,222,755,909,114,739,534,592,063,682,204,347,
786,097,040,971,798,814,980,400,831,554,981,521,515,662,319,583,392,503,793,
559,978,112,823,173,230,865,941,852,437,217,207,146,966,415,753,723,647,272,
904,943,786,118,160,312,155,136,430,643,831,464,566,447,689,350,686,351,973,
575,463,886,751,075,022,482,217,510,286,030,974,462,179,044,772,284,143,667,
238,293,055,766,599,819,241,577,337,030,984,509,913,650,517,210,174,088,654,
777,928,286,966,142,799,176,724,302,191,544,315,157,726,151,462,414,204,398,
332,491,920,721,778,838,166,267,293,703,114,695,074,967,799,254,105,945,992,
599,012,167,134,663,932,412,548,505,861,918,241,609,317,452,644,555,393,303,
484,269,108,322,409,412,225,747,771,054,725,978,836,886,561,054,541,140,541,
603,682,393,534,352,007,561,803,405,251,268,418,294,436,955,793,043,101,913,
475,503,218,045,102,415,615,334,433,550,885,463,564,272,634,092,314,405,591,
401,748,748,459,944,500,664,023,877,216,741,900,149,337,855,724,035,933,826,
978,552,276,013,320,570,859,656,921,436,745,812,452,660,704,294,962,694,561,
363,356,033,294,842,094,463,932,661,110,416,192,116,282,107,454,916,413,106,
417,809,155,097,945,935,666,070,966,047,723,553,329,195,848,405,328,380,666,
756,922,597,977,277,807,983,643,255,235,914,442,084,543,755,597,356,949,386,
268,161,587,604,101,915,308,981,177,631,379,433,940,060,983,223,237,172,307,
991,592,561,663,840,453,041,381,348,315,824,250,569,888,478,915,114,926,562,
697,083,333,732,437,005,903,470,994,504,587,165,115,130,486,983,789,924,842,
767,644,767,106,071,296,453,451,473,965,384,070,820,532,492,287,987,272,704,
356,486,440,259,842,387,037,326,279,415,452,353,363,369,648,058,971,060,814,
050,858,324,347,636,151,650,058,098,585,009,019,944,306,808,025,403,368,366,
940,514,647,533,785,849,305,911,986,573,680,478,591,155,871,232,434,033,888,
118,905,144,719,444,312,074,205,087,800,174,643,967,283,240,492,575,314,914,
289,650,242,267,607,078,396,911,904,264,644,830,221,403,011,475,845,591,144,
413,721,112,833,082,170,264,978,359,300,984,451,483,252,585,521,162,331,746,
313,480,173,657,307,522,600,374,347,528,840,582,350,189,024,691,432,500,632,
584,121,931,404,000,160,150,143,921,313,799,509,578,676,155,677,504,649,649,
606,448,621,073,053,182,362,531,486,160,802,943,252,896,016,964,075,861,763,
146,554,543,416,240,818,591,212,475,226,770,467,254,666,816,875,949,551,262,
874,418,562,566,446,680,858,425,110,634,579,745,944,150,878,829,577,962,596,
767,475,797,770,014,664,468,541,833,903,356,417,414,007,448,558,842,140,512,
996,769,169,176,761,734,706,729,374,616,520,106,391,653,321,057,637,352,012,
288,587,379,225,316,597,286,903,261,708,758,940,581,514,360,065,336,553,396,
406,271,008,807,242,154,581,473,601,325,370,030,079,263,399,147,473,869,624,
682,838,492,027,003,087,689,144,092,068,992,157,607,613,854,880,616,438,649,
050,228,442,917,890,387,024,562,321,497,329,859,472,708,166,609,894,992,829,
741,028,403,676,675,021,134,665,592,317,231,547,932,613,722,299,150,766,028,
107,739,244,066,778,276,579,137,828,154,360,959,901,856,406,903,472,901,852,
588,036,370,328,231,033,429,535,270,790,851,235,981,096,822,036,859,988,543,
981,903,966,485,094,200,334,349,492,744,612,249,070,202,448,872,738,416,017,
447,614,107,987,503,199,164,536,437,393,559,753,807,161,352,288,748,920,585,
569,736,548,527,626,545,826,231,364,867,819,430,437,220,543,450,079,963,256,
095,837,247,386,742,131,508,021,661,024,853,793,067,662,979,414,078,463,914,
901,021,704,997,276,950,710,767,752,870,629,178,193,421,294,186,336,379,308,
727,909,561,434,062,791,713,337,168,170,281,605,501,453,590,078,071,590,300,
813,827,255,759,663,815,564,546,829,660,570,021,268,026,100,274,361,490,515,
971,460,852,814,869,049,857,281,456,669,637,917,429,565,457,640,901,017,941,
181,828,672,868,132,303,580,735,542,175,973,803,726,593,640,075,858,726,371,
081,561,242,018,956,000,843,877,261,710,938,786,867,889,381,518,854,576,471,
286,199,749,251,438,866,622,953,845,542,954,634,809,859,473,773,758,375,822,
811,100,738,503,832,298,038,599,837,100,384,918,399,969,437,244,086,750,108,
316,902,580,652,026,409,554,340,036,370,857,386,055,139,692,331,305,502,878,
687,561,378,930,937,344,400,715,784,637,178,079,695,539,098,448,120,582,908,
469,054,895,798,023,241,791,052,557,236,597,548,318,236,154,539,644,782,606,
028,589,579,363,359,011,883,966,873,327,991,166,856,468,668,061,155,107,710,
095,038,842,485,723,168,805,221,405,152,256,082,953,802,524,308,706,298,470,
766,196,825,496,272,684,563,099,775,198,032,877,397,381,827,099,765,409,096,
536,524,649,290,277,378,373,837,094,536,530,375,775,675,999,576,839,770,442,
470,740,735,324,374,853,383,231,690,680,290,407,319,741,960,505,286,359,607,
579,094,373,070,780,913,818,503,932,342,569,572,852,541,166,490,980,282,064,
709,672,336,614,232,494,442,183,477,858,866,548,653,343,122,939,385,050,963,
839,277,704,948,531,066,250,266,041,076,380,225,691,492,575,267,125,784,746,
577,297,914,248,741,301,861,788,731,895,080,242,210,759,343,287,467,676,829,
834,496,982,482,559,583,802,346,429,513,155,110,499,379,045,694,514,929,546,
914,626,315,788,710,893,065,548,735,261,747,497,156,698,908,785,582,341,784,
978,631,407,623,662,996,650,622,871,144,808,590,853,851,930,062,159,188,096,
896,247,133,566,577,560,524,418,050,750,229,610,728,084,340,281,756,200,150,
665,336,284,815,368,082,165,055,672,982,340,041,895,534,385,181,005,795,091,
863,101,026,519,324,877,930,849,796,671,756,887,051,112,669,518,884,343,841,
604,039,394,431,012,600,439,805,526,267,309,543,120,763,280,592,878,942,454,
648,358,077,642,448,076,666,092,151,849,021,933,276,140,681,464,217,235,181,
192,409,158,746,313,046,248,923,028,734,540,841,892,543,611,062,541,353,873,
410,600,297,926,024,773,700,555,410,714,140,731,050,658,444,712,156,086,983,
807,641,736,794,661,624,633,090,689,451,519,034,330,941,782,109,347,082,278,
673,142,426,462,190,842,068,778,455,932,463,016,196,946,328,110,463,319,796,
733,863,055,036,188,798,883,758,282,302,450,041,935,834,169,905,194,432,883,
698,047,269,088,225,220,624,919,285,210,612,328,218,391,801,157,103,923,195,
692,330,670,496,384,139,717,645,368,871,406,065,998,402,153,307,259,759,534,
695,697,445,741,040,411,615,975,712,540,665,459,416,217,421,693,187,014,459,
126,764,401,966,663,967,175,599,938,582,747,846,374,908,363,214,190,705,372,
837,742,976,598,581,534,390,120,356,020,402,768,617,753,135,232,762,473,544,
102,467,204,620,927,592,813,374,938,534,674,405,615,849,307,611,928,530,757,
955,863,453,333,351,442,919,740,161,469,364,208,912,740,324,765,299,733,687,
100,920,548,264,171,679,188,244,931,712,209,539,689,528,200,148,232,057,437,
784,806,351,433,449,686,427,992,471,784,999,172,544,410,899,222,114,169,092,
923,754,581,452,185,936,481,343,860,471,262,131,041,294,037,033,009,550,639,
125,706,415,301,230,391,036,346,877,678,674,291,351,483,522,822,297,790,340,
561,781,437,356,916,010,262,625,209,763,066,088,069,785,463,303,844,842,713,
481,893,077,468,794,822,650,320,694,414,211,835,487,167,517,685,576,071,095,
495,069,415,573,547,483,666,017,317,307,520,186,947,366,845,578,772,065,498,
293,432,889,655,551,586,306,813,758,012,332,480,934,518,544,166,975,657,325,
306,606,164,362,751,948,680,442,164,368,385,310,585,816,290,463,712,535,684,
918,117,828,517,488,694,820,124,468,193,505,008,260,515,161,259,753,413,737,
443,956,290,964,850,047,453,534,736,264,971,059,210,785,861,997,609,021,021,
310,150,063,720,499,338,675,672,826,126,618,777,456,237,821,878,135,332,835,
572,289,167,282,526,692,176,665,171,180,787,992,305,617,464,917,566,087,306,
730,745,129,659,062,479,383,205,430,800,660,081,354,065,229,828,895,381,427,
116,431,267,099,443,030,706,854,867,484,967,240,914,857,058,334,474,261,708,
807,248,674,567,915,003,555,925,565,042,901,174,456,542,535,798,932,918,904,
297,997,922,587,537,821,684,701,299,255,006,740,167,679,258,053,045,161,661,
396,535,324,315,844,694,542,803,245,377,744,804,482,690,002,038,571,227,716,
263,441,220,294,444,391,576,660,435,839,853,465,071,249,367,617,821,222,968,
934,800,318,803,323,248,526,039,121,406,111,227,580,569,626,383,215,160,485,
204,703,862,365,399,998,464,858,829,409,676,761,392,116,430,876,231,387,821,
467,299,545,382,079,430,441,566,665,388,444,101,953,041,150,821,700,041,289,
871,187,251,835,394,682,168,025,689,866,409,343,721,926,697,043,315,239,617,
269,237,906,130,479,608,334,329,622,499,132,356,045,610,188,623,610,170,314,
276,225,303,525,572,703,278,019,622,974,470,951,347,775,719,739,299,897,320,
777,011,674,936,063,694,056,735,040,189,296,972,909,771,717,720,351,640,464,
416,174,174,879,579,536,009,285,504,645,035,461,946,184,093,463,335,122,159,
986,433,527,447,647,945,055,633,493,092,091,538,970,767,658,826,015,669,231,
771,508,591,819,822,054,232,964,733,462,749,325,344,573,049,051,187,542,042,
127,837,284,536,588,819,162,032,079,619,654,659,495,844,941,117,542,162,850,
579,231,169,557,429,665,159,339,299,096,509,969,929,216,001,710,803,391,770,
119,294,737,467,844,797,775,613,704,749,978,996,754,930,052,924,880,770,359,
055,757,145,052,082,764,426,673,883,678,882,185,811,712,866,500,617,554,068,
121,595,373,633,136,661,197,928,276,464,292,043,155,011,403,195,181,039,589,
356,199,465,806,487,704,764,772,917,518,874,424,569,668,036,061,359,096,611,
106,393,793,078,468,887,291,321,281,122,648,390,790,754,360,574,700,130,939,
660,437,775,602,816,206,921,584,755,646,952,436,175,566,649,176,018,704,842,
440,096,916,325,486,914,155,782,046,520,540,157,330,600,813,973,299,856,650,
799,307,555,420,509,053,745,700,779,339,901,335,317,570,335,924,006,657,641,
518,820,509,906,519,167,110,659,613,863,200,174,221,758,524,273,484,305,099,
121,042,149,106,438,391,105,082,173,352,928,354,656,050,652,976,608,197,967,
793,718,302,248,446,348,735,112,445,224,759,571,907,822,929,392,364,777,798,
140,075,607,739,565,578,270,970,460,216,731,849,466,481,034,817,174,635,600,
752,838,212,897,678,114,647,024,435,748,537,178,307,303,467,020,504,635,889,
783,261,911,070,858,745,007,251,762,847,724,411,425,691,607,801,267,600,782,
538,967,492,615,703,454,729,426,931,542,515,763,607,795,788,880,653,688,930,
261,356,782,263,702,456,479,359,155,977,590,524,614,720,901,008,726,491,963,
128,914,452,387,826,361,813,866,009,227,131,366,109,123,578,052,214,285,242,
070,891,109,990,934,002,776,981,793,573,384,547,734,973,229,198,515,197,978,
927,262,512,471,959,340,685,644,898,109,634,615,569,506,220,250,702,972,825,
577,405,542,984,022,414,386,424,940,058,632,602,063,641,699,439,977,986,571,
577,056,205,911,929,058,691,713,537,838,139,782,910,641,082,103,017,618,598,
100,981,074,321,904,823,175,000,576,121,655,712,014,594,916,944,975,381,596,
567,682,409,400,800,892,835,881,461,686,747,058,245,389,211,254,901,731,219,
252,939,653,970,142,493,120,863,126,214,148,776,624,874,309,545,963,268,480,
634,391,318,981,899,092,443,768,421,371,952,791,133,917,171,508,422,785,751,
780,034,610,809,036,923,372,014,875,211,741,766,995,997,980,061,071,798,120,
907,303,249,155,398,029,268,103,319,539,360,229,444,318,014,323,132,797,207,
452,256,067,627,772,841,592,876,399,978,455,677,078,643,951,185,022,125,997,
589,751,865,057,578,169,621,284,453,995,754,515,045,748,184,365,964,889,909,
056,224,230,228,197,203,238,036,348,178,167,488,128,772,235,823,034,468,329,
757,544,006,842,266,637,652,515,451,828,581,679,376,995,374,356,314,472,750,
811,699,324,582,638,504,223,660,755,923,084,416,853,097,583,738,159,501,363,
380,178,117,382,358,360,154,300,463,050,206,901,774,774,403,689,683,910,791,
706,163,328,881,171,197,340,953,445,095,457,612,572,016,840,063,826,097,822,
102,879,679,381,450,288,686,702,662,839,219,889,867,798,273,515,808,207,245,
963,849,065,478,920,994,452,008,503,401,624,751,079,454,800,580,536,496,735,
517,251,052,947,788,926,206,663,437,100,763,522,128,767,753,024,827,989,832,
841,929,126,084,723,657,616,151,469,703,629,206,243,918,062,772,038,693,318,
094,982,057,499,353,839,505,852,245,780,718,443,200,177,478,209,027,837,312,
010,779,656,916,350,806,441,041,485,301,617,856,731,540,007,482,872,894,333,
522,408,702,395,155,566,234,880,576,298,673,020,205,746,612,745,845,394,507,
496,139,953,026,853,092,599,849,119,518,630,756,580,088,004,816,241,780,278,
034,093,950,746,780,403,112,759,894,355,794,313,057,984,716,821,003,165,051,
656,714,737,928,803,901,079,997,375,862,874,314,883,454,088,133,987,049,426,
477,644,522,915,566,304,572,313,965,908,379,097,537,802,683,408,600,140,236,
900,798,529,886,536,256,128,068,558,145,525,160,996,087,196,935,548,410,687,
236,053,097,939,596,880,397,029,751,713,974,299,036,562,812,362,581,944,637,
391,634,741,492,451,146,237,746,255,402,703,434,834,670,311,288,162,773,293,
819,900,568,107,280,827,946,835,270,085,197,241,410,582,553,872,117,639,426,
372,145,260,263,978,873,261,266,543,958,510,677,410,759,586,997,692,788,715,
774,876,534,063,438,558,704,575,495,198,604,076,876,695,760,795,565,174,663,
267,830,325,076,046,528,604,635,429,656,268,654,219,640,523,529,647,623,745,
446,287,207,480,383,578,354,054,406,527,378,219,483,379,893,466,518,698,181,
279,818,013,090,470,906,422,944,446,952,593,087,225,023,210,512,331,022,809,
525,234,087,897,976,807,943,494,705,135,575,432,612,792,369,827,761,667,549,
512,128,230,398,476,380,898,873,178,224,909,921,554,989,974,062,193,039,020,
963,591,511,623,967,358,807,780,766,198,453,010,715,896,918,499,567,122,734,
054,436,338,982,577,885,686,740,817,000,746,242,822,085,428,107,406,066,534,
311,799,104,708,659,483,791,652,567,036,779,599,152,089,103,514,433,783,924,
077,607,416,670,383,651,150,153,430,953,877,522,619,841,044,010,124,904,559,
526,725,885,357,551,693,887,296,026,623,916,410,134,170,373,982,863,483,231,
194,902,601,301,466,147,809,659,823,528,688,726,276,105,320,526,871,452,486,
356,528,964,767,327,830,980,552,579,103,354,245,485,450,488,625,874,287,383,
529,072,227,392,716,648,265,167,638,203,376,816,476,555,996,673,690,666,852,
923,051,775,046,672,981,092,539,849,266,636,295,664,059,763,821,635,071,298,
180,155,399,172,866,801,948,503,853,000,895,313,507,152,585,935,106,706,382,
291,808,155,259,529,038,817,142,794,645,407,188,150,641,715,049,621,385,891,
161,611,772,573,722,780,571,745,401,512,929,589,568,053,696,388,143,378,944,
690,099,825,814,686,575,425,829,906,158,480,758,332,384,128,811,205,955,975,
900,805,649,266,206,579,992,531,826,464,701,384,342,999,073,951,981,365,350,
328,927,195,111,948,721,737,496,752,010,838,012,661,209,963,256,289,378,932,
840,541,144,724,939,648,270,424,991,946,952,409,996,590,729,634,362,779,116,
451,885,122,429,474,817,929,536,672,067,940,112,820,683,360,746,227,336,051,
318,276,281,307,175,960,642,090,059,286,612,176,610,705,001,177,691,539,870,
054,104,388,086,865,482,015,879,338,044,775,278,811,814,912,390,434,845,410,
996,008,951,653,950,792,699,108,542,597,562,384,052,552,891,479,194,433,143,
777,878,434,052,449,605,423,083,357,202,684,054,947,359,353,618,308,375,305,
076,950,974,469,143,848,577,765,153,219,937,858,930,181,846,271,742,674,387,
914,311,839,757,436,929,203,889,035,245,980,604,949,683,269,562,452,542,377,
453,731,175,629,018,929,518,750,821,249,483,975,859,748,072,374,595,561,071,
311,190,081,882,683,085,272,357,449,003,779,146,772,358,143,919,185,860,370,
057,652,183,098,688,201,001,381,247,485,788,326,578,739,361,813,420,746,722,
390,074,589,898,389,073,415,426,044,987,550,858,917,222,943,152,198,163,819,
831,071,677,459,236,868,162,475,959,030,149,686,697,304,613,476,303,862,051,
213,946,001,129,195,074,445,255,329,422,113,666,537,693,706,841,464,562,950,
915,038,838,091,253,804,039,473,345,027,352,878,258,450,226,506,823,151,449,
338,096,881,884,615,248,461,779,519,667,463,601,222,616,509,331,907,511,096,
295,741,935,100,527,265,021,594,266,976,270,326,890,538,355,505,621,435,720,
971,418,226,558,515,627,862,077,589,623,594,739,063,771,573,226,702,523,822,
665,708,330,600,041,539,437,277,196,661,409,400,754,581,028,517,535,656,329,
509,269,916,848,874,407,173,666,055,066,931,843,625,531,615,002,482,947,494,
712,177,441,998,164,206,156,011,740,914,912,792,354,690,189,045,740,092,688,
534,698,183,715,881,618,930,309,167,441,780,626,408,532,918,298,560,087,106,
252,080,580,266,681,068,573,571,919,353,337,502,488,302,282,623,103,516,509,
096,035,198,553,064,678,641,040,360,519,437,182,743,082,633,555,618,010,752,
858,748,569,245,495,371,236,426,243,916,385,491,024,168,797,803,219,504,984,
017,580,160,797,153,989,437,976,431,722,952,081,104,730,756,265,099,554,009,
483,706,218,526,378,143,797,002,733,656,616,418,184,603,097,514,826,380,049,
232,831,230,458,868,543,747,162,493,681,221,052,250,419,640,161,027,175,848,
620,633,342,250,827,617,555,292,498,314,130,030,321,288,716,756,757,111,794,
392,033,307,605,972,294,138,645,973,822,132,197,465,812,192,942,544,963,240,
874,483,156,109,212,796,836,931,082,448,476,473,872,182,120,413,004,424,664,
851,941,236,914,375,094,056,820,002,400,876,466,155,044,679,996,747,871,588,
206,254,106,896,419,335,354,001,019,178,639,875,627,905,710,618,112,022,593,
760,907,538,927,357,568,773,188,294,386,370,018,099,506,283,363,149,185,569,
076,055,918,862,416,715,354,724,469,591,589,356,266,807,561,239,553,233,125,
146,912,726,835,797,125,346,941,540,739,798,619,280,631,321,420,823,862,217,
765,606,473,196,307,341,623,042,189,593,148,389,877,344,940,304,470,291,947,
304,245,013,770,824,180,181,920,177,384,705,860,645,217,908,551,955,567,480,
841,389,547,471,292,374,767,158,378,979,364,989,261,835,391,331,196,178,791,
760,868,886,403,331,444,776,848,788,798,419,933,209,589,555,885,016,758,112,
414,012,385,425,086,690,038,173,483,734,367,089,212,508,190,934,572,608,638,
883,918,577,317,908,467,164,040,726,719,565,541,830,022,236,259,504,933,241,
600,355,438,630,980,021,806,023,431,105,814,166,925,518,807,752,784,667,508,
355,705,065,273,397,835,843,851,433,526,284,180,273,345,101,363,005,632,944,
927,207,975,049,458,557,481,535,479,303,901,968,456,139,060,731,519,391,622,
654,840,438,473,977,378,070,846,428,822,764,210,848,155,916,929,720,267,894,
546,909,661,550,348,079,469,428,243,990,375,904,049,729,714,859,791,048,681,
516,394,306,109,379,651,817,928,235,381,656,765,614,689,499,589,211,805,117,
849,861,653,490,056,080,892,892,907,060,512,554,072,401,387,706,242,040,845,
004,337,132,523,525,837,609,145,476,731,636,409,083,137,524,542,829,689,711,
437,650,491,325,798,532,362,815,361,261,121,944,652,974,727,140,787,767,366,
394,581,208,662,765,772,001,224,932,660,396,561,345,008,623,964,328,377,449,
342,773,554,663,090,914,237,359,395,454,847,671,664,398,850,761,770,161,673,
483,980,038,080,528,477,205,867,416,824,595,208,019,904,237,244,254,652,693,
380,208,484,714,681,349,874,252,685,413,733,508,584,196,699,956,027,246,508,
634,052,822,243,543,119,959,051,904,361,939,744,181,542,208,013,156,736,751,
222,505,503,180,736,345,326,294,975,341,272,659,613,014,494,900,710,297,235,
461,273,281,217,149,616,257,689,498,905,423,019,431,432,751,641,291,435,126,
697,968,828,184,426,340,834,917,411,256,471,514,430,501,635,236,423,359,387,
860,376,062,282,320,547,965,635,394,855,167,878,711,330,205,235,518,274,314,
283,081,654,774,176,081,380,442,786,368,553,895,658,648,205,872,945,087,214,
481,968,911,486,013,161,834,044,694,834,253,074,088,751,909,789,575,676,600,
132,270,246,796,817,203,506,041,949,006,923,978,890,407,358,057,743,562,389,
644,570,244,215,012,874,970,754,311,738,038,154,172,353,341,260,691,774,679,
093,071,073,336,954,949,582,951,598,638,608,056,649,113,688,457,988,652,755,
642,387,634,070,277,530,652,004,633,393,631,742,511,084,177,230,180,679,342,
870,983,500,666,332,033,835,075,183,283,388,966,409,973,313,024,883,053,611,
909,801,257,786,277,500,903,003,015,380,997,132,501,498,004,176,745,015,728,
513,216,241,057,441,134,555,490,044,147,668,787,976,057,663,122,283,642,493,
472,079,230,933,545,212,579,717,635,870,125,389,049,051,521,522,300,767,888,
590,872,787,166,645,165,746,194,184,314,561,516,795,954,413,501,723,454,368,
140,823,339,837,238,680,001,628,016,491,496,885,945,410,675,767,780,872,467,
721,074,732,652,717,238,857,228,118,360,017,448,584,935,074,809,962,338,455,
851,918,729,430,384,469,061,593,132,126,877,626,613,860,988,388,265,850,460,
490,733,853,667,877,398,642,631,214,083,268,397,015,345,560,765,608,977,220,
104,282,717,886,974,685,958,025,947,894,165,340,245,194,073,241,700,183,592,
409,265,910,523,327,528,080,335,219,076,799,022,560,434,378,209,501,233,501,
434,832,010,412,479,664,405,698,315,973,559,464,225,720,866,504,513,018,085,
989,463,542,394,198,463,992,487,189,317,741,378,550,281,118,347,036,009,462,
892,590,535,530,868,303,111,681,225,640,994,382,405,037,570,766,093,796,819,
909,906,077,006,942,968,222,416,988,786,710,399,428,358,923,155,854,622,603,
744,505,262,223,334,876,534,061,364,130,317,583,154,339,232,644,375,977,671,
174,738,703,642,700,993,567,338,027,666,440,456,487,353,434,636,384,063,632,
795,400,291,699,627,720,518,148,140,947,398,296,386,744,625,976,937,007,849,
213,863,846,493,956,547,760,299,376,985,972,642,640,407,259,739,051,732,197,
852,090,063,369,793,371,269,875,877,929,501,118,292,605,163,761,822,130,841,
913,087,442,445,578,117,434,062,513,937,520,002,743,869,522,414,607,627,840,
343,760,316,040,370,541,232,357,692,218,054,799,077,477,095,921,314,845,875,
460,502,290,422,670,844,222,364,747,246,778,467,560,217,150,537,854,105,313,
207,785,070,607,936,413,829,026,845,741,104,736,610,822,078,506,150,635,845,
722,086,066,014,945,967,951,758,267,674,834,059,871,729,088,563,481,991,749,
194,838,308,042,099,010,270,039,036,069,677,736,157,225,819,427,900,117,387,
383,672,056,399,498,594,403,925,984,394,632,620,525,361,715,532,308,121,268,
889,526,324,589,647,710,706,025,902,948,358,347,557,186,193,764,929,035,394,
571,272,545,337,308,199,099,291,562,093,158,864,583,988,524,167,601,826,628,
800,349,397,378,549,694,195,998,709,308,053,901,504,698,926,474,653,255,158,
926,495,680,520,855,566,362,604,855,231,865,777,463,078,630,206,217,965,516,
902,714,978,327,217,988,743,775,034,849,430,550,096,297,851,708,214,546,227,
896,657,735,357,908,565,373,343,034,123,669,487,552,798,551,370,214,353,131,
762,553,531,740,546,375,207,733,577,726,621,809,735,483,637,325,711,929,676,
602,460,065,896,227,815,974,071,157,258,219,569,758,070,500,446,840,230,119,
901,454,285,800,834,997,944,696,388,005,664,879,235,764,660,187,947,394,738,
335,655,518,904,949,523,151,724,361,803,056,246,035,806,345,263,947,432,940,
475,661,004,965,334,465,408,807,023,561,460,958,242,662,266,583,858,835,799,
753,000,036,802,068,079,044,477,300,337,450,807,706,317,925,778,789,429,202,
608,062,554,577,120,376,931,463,670,960,060,161,357,662,733,264,913,166,024,
908,214,255,903,642,296,268,880,960,919,730,118,674,425,362,509,603,350,381,
132,753,034,557,463,483,935,846,643,567,411,839,190,571,296,797,077,684,930,
533,525,391,963,796,504,908,114,784,228,709,575,353,662,511,404,293,377,713,
866,305,945,858,650,766,310,616,517,778,943,776,458,699,299,715,369,383,591,
223,411,714,071,410,999,162,138,706,634,650,174,799,573,169,174,977,205,211,
303,953,883,305,116,070,633,286,833,396,952,268,480,346,593,938,772,780,611,
932,874,941,205,019,925,842,801,589,397,597,672,666,045,651,793,476,004,421,
012,193,918,938,286,294,760,100,060,604,414,822,108,878,384,694,088,601,584,
324,517,882,730,969,706,743,227,365,113,315,125,632,583,596,926,235,931,865,
320,442,530,249,251,669,276,183,151,416,071,359,107,930,932,659,432,113,377,
281,065,019,813,591,654,961,672,627,797,943,640,516,487,577,167,628,843,417,
940,974,362,961,837,596,548,549,887,084,766,688,600,990,129,491,813,748,358,
719,784,887,114,385,785,990,059,548,796,517,597,521,142,877,493,909,786,857,
359,686,597,801,248,654,883,201,084,450,863,858,579,176,636,285,653,012,240,
284,630,465,845,534,182,990,295,484,479,494,811,471,927,692,674,411,783,966,
883,963,620,036,842,203,605,866,339,391,379,021,631,039,453,638,903,758,380,
435,229,976,601,513,450,520,065,580,189,913,811,008,654,840,629,640,630,121,
875,583,068,563,063,462,125,777,770,047,529,372,635,854,349,649,650,079,991,
902,653,765,353,756,072,902,476,859,273,916,131,268,586,056,360,381,109,777,
131,055,420,466,738,581,909,026,443,323,956,329,618,301,877,246,871,078,441,
329,691,506,890,235,270,062,919,667,861,726,064,821,952,223,588,084,399,496,
979,830,440,827,567,829,395,893,002,097,954,621,405,100,975,318,811,870,901,
084,880,426,481,232,748,246,789,012,658,864,571,191,153,001,234,017,265,805,
079,335,013,208,659,341,044,953,155,590,811,765,979,784,463,269,810,440,948,
911,110,272,381,655,810,118,116,109,681,319,625,735,561,308,678,116,552,362,
328,125,420,153,791,012,039,364,355,931,017,914,759,792,161,431,349,035,810,
883,160,561,520,376,002,212,870,603,855,222,773,640,710,719,456,700,913,040,
278,390,698,781,487,549,048,211,009,684,267,936,273,834,836,327,704,118,731,
900,546,969,515,012,547,171,905,479,962,369,053,880,175,724,221,643,525,375,
923,278,247,063,725,785,978,994,502,963,032,195,036,971,815,597,446,887,297,
340,505,425,867,870,913,812,058,662,300,209,226,493,832,514,245,250,557,265,
353,929,584,552,061,776,890,020,248,875,094,942,608,978,890,522,000,161,912,
659,445,565,993,767,337,090,845,476,312,266,219,001,233,167,768,041,883,483,
916,187,703,079,945,603,892,714,601,202,860,436,647,399,914,064,704,112,547,
211,500,972,808,778,977,059,807,929,746,929,525,711,828,088,635,841,385,985,
406,382,924,976,283,134,211,860,751,367,157,923,680,668,003,034,756,612,633,
667,208,267,032,762,796,931,761,768,627,318,228,138,409,194,030,619,176,204,
497,155,423,510,082,974,211,920,110,085,522,244,867,884,702,278,826,217,182,
117,811,715,569,052,198,718,450,154,814,337,204,231,900,300,987,245,388,884,
261,911,619,647,903,071,082,987,808,693,629,110,791,768,781,584,821,342,674,
183,921,362,252,757,699,453,004,451,277,249,252,851,108,702,348,952,723,288,
563,315,486,664,711,469,666,363,999,567,510,664,664,054,320,356,355,597,694,
422,974,791,610,684,270,292,754,885,162,438,438,676,405,962,575,490,591,646,
906,052,475,826,717,491,093,686,867,789,998,717,707,135,879,917,558,380,142,
626,255,518,031,443,462,716,545,345,886,647,265,898,967,252,531,265,265,033,
615,338,293,865,347,799,890,014,919,867,033,048,628,235,457,562,770,105,715,
074,867,998,534,422,739,842,989,796,366,751,338,423,540,127,933,650,015,980,
882,873,226,094,410,799,948,984,402,577,844,388,258,620,620,247,324,860,126,
799,584,440,265,848,001,508,712,135,213,507,467,847,641,013,623,544,112,304,
013,254,003,660,456,903,206,113,662,453,988,175,359,737,617,573,045,489,163,
551,543,795,036,634,659,737,348,058,175,551,956,728,597,005,541,136,131,928,
087,460,858,540,833,305,146,719,948,163,147,301,224,929,901,969,147,654,686,
152,374,263,728,833,666,035,637,577,797,143,028,634,739,863,793,088,168,733,
819,160,580,175,753,695,221,054,604,152,065,905,635,758,584,990,847,044,650,
546,000,535,550,236,801,899,093,470,147,044,207,967,760,032,351,575,286,718,
332,399,148,716,180,992,926,314,222,643,828,881,299,090,847,363,474,006,926,
505,920,767,278,059,392,709,926,372,007,016,609,601,324,656,815,062,248,562,
925,947,422,461,729,723,662,426,501,528,540,889,521,538,193,646,696,769,868,
223,487,981,989,762,581,763,362,032,527,849,409,841,068,397,251,532,087,623,
274,709,439,640,486,552,294,564,252,729,407,591,206,741,499,859,998,939,629,
067,807,648,771,532,105,461,542,458,465,264,200,827,452,228,568,390,443,700,
754,143,761,202,696,345,576,570,811,632,067,069,148,615,409,617,647,742,376,
385,458,823,276,523,639,381,178,471,042,291,484,867,682,584,263,234,945,050,
672,231,264,831,101,426,074,382,693,606,468,877,220,441,219,307,681,351,519,
745,602,130,570,123,299,566,262,898,394,293,799,453,777,747,867,356,555,443,
763,642,653,700,972,107,347,292,245,274,857,989,443,187,744,962,725,628,309,
147,518,600,444,378,383,196,436,647,312,247,040,634,359,357,001,815,276,058,
941,748,817,540,120,448,206,073,242,622,187,714,435,535,852,625,977,963,688,
932,178,753,625,370,860,846,737,127,368,873,398,480,270,063,874,626,121,462,
043,002,218,954,536,221,852,655,879,893,182,743,985,261,123,013,688,732,089,
465,702,520,786,069,602,980,644,905,611,360,629,234,373,372,990,159,050,488,
266,177,578,776,110,239,327,061,731,946,732,940,464,682,871,411,222,296,767,
828,763,017,260,527,328,456,305,659,749,558,326,353,690,166,736,899,286,436,
110,775,954,894,689,404,080,894,571,220,472,367,547,900,463,398,109,503,491,
944,266,352,678,920,611,569,445,566,355,009,148,992,411,463,225,222,837,920,
528,617,757,388,156,377,545,445,846,141,370,049,962,718,359,112,173,476,551,
338,573,236,800,227,181,233,947,264,560,163,357,615,980,054,139,743,821,691,
315,030,339,776,899,036,635,783,058,639,123,722,149,969,702,873,130,526,716,
058,543,245,939,272,753,682,934,065,882,339,170,553,376,324,368,510,187,799,
442,425,601,592,450,009,848,145,315,876,577,403,135,425,201,265,903,851,368,
610,323,878,689,911,669,973,075,441,439,412,906,227,839,967,775,230,952,941,
815,235,531,965,803,614,640,351,371,592,765,134,670,753,523,278,909,646,293,
987,626,831,576,572,858,541,306,109,914,239,362,352,380,261,714,697,817,954,
575,234,996,000,099,787,105,209,297,590,488,042,322,976,340,540,336,630,422,
096,501,521,491,798,571,596,223,689,437,895,438,819,078,395,336,604,190,124,
513,269,250,904,984,732,902,032,907,639,882,448,036,785,484,504,932,473,831,
112,978,034,659,515,857,295,786,219,068,177,260,785,557,287,460,503,801,371,
697,005,584,618,807,218,042,298,793,641,504,473,693,378,039,013,119,046,782,
242,868,994,003,696,880,916,186,972,215,641,409,143,923,323,660,549,650,308,
285,893,219,605,237,866,646,746,253,153,468,407,271,631,014,495,565,561,034,
960,259,188,708,101,103,117,454,878,066,840,158,835,096,429,269,020,270,098,
243,752,708,896,537,964,142,114,585,014,647,942,443,317,668,251,879,641,665,
285,596,203,439,864,578,085,409,767,124,491,414,836,890,966,286,781,339,663,
129,474,332,256,344,694,125,505,827,725,618,370,133,070,303,641,180,027,833,
544,734,489,436,947,910,615,852,673,038,423,468,094,909,495,328,680,877,713,
643,735,351,847,782,821,288,478,766,442,292,595,494,441,101,968,716,465,646,
492,178,174,414,582,635,318,141,167,052,295,282,903,057,062,643,055,145,213,
959,289,815,010,951,573,061,430,683,596,171,005,629,817,708,457,257,852,507,
813,010,068,633,558,224,311,165,685,304,484,396,667,693,990,400,541,408,335,
716,959,135,512,245,432,075,408,932,543,466,340,269,321,741,766,278,385,459,
250,402,399,010,663,806,172,384,554,583,110,572,714,026,813,469,090,390,395,
105,631,337,690,463,583,147,110,381,462,818,584,864,149,456,117,929,112,003,
709,388,959,037,401,043,549,293,247,193,460,427,079,155,601,450,959,904,663,
498,807,058,037,064,579,710,774,384,347,036,671,338,072,910,500,788,614,764,
990,412,869,017,503,144,817,222,160,218,692,845,181,565,350,862,751,188,889,
470,688,580,460,641,082,350,467,311,722,219,928,281,484,562,572,113,882,513,
111,997,464,655,060,721,762,428,974,182,918,048,189,917,720,821,519,989,617,
146,080,954,200,193,269,814,810,329,280,761,258,148,884,034,645,620,565,034,
057,303,059,651,895,750,538,385,267,966,846,299,634,869,329,229,910,478,700,
639,276,141,039,737,662,366,295,913,094,108,295,277,269,447,577,561,045,859,
762,236,610,293,570,838,505,530,425,701,504,538,234,901,593,478,750,871,814,
525,468,934,080,875,882,786,753,332,513,936,923,920,041,579,725,374,409,812,
310,672,987,912,937,325,354,438,865,431,947,373,737,494,572,250,662,924,040,
508,438,367,678,547,669,469,967,499,969,864,215,867,607,656,065,162,239,637,
640,604,854,607,149,403,419,556,933,986,537,948,553,166,753,433,561,499,561,
784,315,609,028,266,684,161,316,586,730,719,103,297,536,179,040,202,392,814,
690,460,125,597,756,161,128,628,223,163,114,608,143,618,120,158,173,931,081,
988,479,830,673,758,020,205,751,641,553,006,523,354,985,884,249,416,525,912,
614,737,483,741,945,876,346,530,578,348,798,549,486,103,213,162,193,856,169,
675,860,401,748,765,312,530,936,179,481,205,335,047,470,534,563,370,430,094,
601,843,578,821,880,107,674,208,457,086,058,188,582,503,828,381,461,382,284,
702,668,813,883,354,951,464,438,905,037,967,451,166,864,012,006,684,657,093,
191,017,012,633,993,831,740,291,259,777,920,451,536,689,276,347,775,999,028,
804,069,626,751,542,783,940,338,155,630,853,905,698,691,632,938,596,187,296,
088,482,656,070,332,559,297,625,672,572,413,432,380,832,071,964,748,328,763,
558,770,192,488,639,900,933,638,509,965,213,418,491,301,747,993,256,786,233,
648,812,533,109,180,902,083,506,465,424,576,248,173,891,096,144,931,007,083,
805,471,155,186,278,943,667,277,168,778,306,136,290,164,388,844,027,340,576,
338,333,325,806,183,449,750,192,823,309,088,961,035,501,264,782,459,907,875,
655,762,346,173,954,603,629,069,540,088,757,787,293,667,619,770,938,317,314,
875,703,702,099,694,581,539,312,801,982,523,857,695,269,582,830,883,478,685,
937,657,313,145,456,372,555,924,706,529,266,959,240,924,694,948,930,235,164,
300,581,123,413,229,597,592,608,861,404,604,477,187,679,982,676,017,355,142,
844,166,918,480,446,563,033,917,008,392,627,458,150,307,971,265,947,666,148,
862,434,956,790,855,211,274,312,568,240,363,837,222,296,392,569,081,397,222,
571,279,089,877,485,087,184,633,371,393,098,595,832,231,002,480,620,009,100,
060,359,313,768,262,813,236,236,947,367,017,492,296,369,529,870,212,187,825,
221,705,377,083,693,868,028,359,756,612,265,056,072,119,363,542,343,601,181,
079,210,114,073,903,147,172,254,786,704,110,924,865,332,691,323,225,063,335,
447,357,046,354,656,313,744,372,313,672,766,066,949,912,392,294,025,708,523,
781,100,817,899,704,817,369,832,529,139,063,346,014,038,714,828,165,337,781,
029,344,312,261,165,826,690,793,116,713,309,802,203,497,357,543,578,046,622,
934,002,335,178,411,491,944,592,678,416,070,895,605,916,774,783,571,178,656,
033,438,541,075,240,866,153,645,285,827,971,749,850,392,243,237,996,299,603,
678,322,059,762,968,318,088,857,156,048,918,353,819,702,124,769,331,138,392,
893,041,498,211,206,273,650,678,154,985,269,248,769,836,978,982,980,818,692,
752,496,891,898,145,950,818,730,716,564,005,871,292,355,344,681,692,317,639,
112,532,536,589,670,602,761,126,409,720,216,980,893,395,300,791,465,670,200,
518,324,522,477,301,009,859,183,646,579,336,695,176,877,902,866,569,749,007,
956,181,498,530,018,342,714,163,394,347,032,826,445,169,147,203,050,477,830,
842,625,255,650,615,547,213,568,100,686,834,814,476,908,276,729,146,534,146,
587,736,270,662,478,523,448,966,245,407,528,556,075,964,251,731,066,352,624,
048,673,099,373,381,538,500,296,766,040,310,502,498,739,340,309,963,796,950,
562,955,108,616,604,422,305,866,829,724,819,294,837,804,001,851,459,622,295,
165,068,868,361,665,249,496,964,359,740,662,459,492,194,860,377,714,738,887,
544,942,056,019,553,679,007,404,092,704,776,972,118,092,592,245,896,277,938,
942,477,083,084,927,660,507,459,898,211,701,814,849,808,590,063,153,539,395,
398,926,370,447,471,604,173,996,090,313,634,271,107,936,349,101,627,862,444,
921,035,707,921,017,349,631,909,551,628,618,715,522,315,819,321,745,408,669,
577,304,831,475,390,221,476,059,750,814,392,275,427,040,343,635,275,059,470,
747,651,290,810,580,328,493,979,186,439,168,820,988,190,405,385,076,631,471,
208,470,536,689,699,352,445,422,948,243,760,871,205,850,536,260,912,032,490,
287,730,737,878,077,184,033,263,162,632,867,016,033,315,307,669,965,766,220,
518,544,883,159,604,893,489,506,199,118,379,457,505,892,637,457,401,107,854,
397,069,208,394,569,475,152,688,024,541,999,670,686,828,956,498,753,733,039,
595,631,675,637,089,145,720,625,792,685,072,134,581,616,767,353,565,342,406,
737,914,173,361,942,937,716,270,286,617,905,361,218,346,714,834,732,138,128,
840,643,594,311,400,488,246,251,416,503,667,887,310,703,244,000,159,321,347,
025,687,627,134,199,186,702,345,533,032,760,942,187,087,954,051,868,749,734,
093,307,176,504,252,436,744,219,597,991,613,566,547,133,482,966,524,399,794,
876,490,107,412,574,125,449,649,687,158,644,657,202,460,401,061,501,744,454,
030,712,574,024,692,219,027,742,122,306,607,104,012,736,536,055,306,692,602,
510,099,964,998,381,725,064,551,467,399,631,603,590,933,377,379,329,180,378,
913,163,434,737,011,392,705,800,009,741,822,744,012,192,458,558,847,798,332,
960,765,990,548,365,453,513,541,242,565,210,625,174,379,378,505,899,733,099,
382,512,868,112,600,298,810,189,107,792,392,078,318,333,809,632,798,904,647,
808,483,325,885,396,958,913,746,071,374,869,803,073,824,489,960,387,998,897,
263,131,749,199,744,183,464,869,414,510,809,819,133,044,091,018,186,914,985,
949,342,286,285,115,163,975,718,780,065,097,515,679,990,380,028,956,804,901,
719,287,914,180,668,686,689,131,312,270,178,527,205,236,053,504,167,005,438,
259,711,046,203,925,179,707,684,990,344,039,621,630,184,932,299,007,333,049,
961,720,864,445,673,745,733,556,720,214,889,851,634,581,036,677,898,091,000,
945,530,207,563,931,410,697,693,767,310,251,202,858,116,862,568,029,988,051,
586,576,143,216,086,719,839,836,009,121,427,467,826,617,713,338,649,178,160,
842,845,937,513,474,584,691,597,615,136,515,336,419,541,931,186,051,543,375,
446,330,614,395,551,521,094,248,720,583,822,959,303,635,836,901,406,225,974,
721,334,970,726,104,072,105,592,939,764,528,827,920,515,310,741,175,252,843,
713,967,023,492,235,642,239,738,504,905,317,516,305,537,347,564,076,004,749,
264,228,334,089,869,675,543,572,488,899,748,019,831,442,769,901,614,848,040,
469,342,628,111,782,450,034,477,857,550,469,260,717,028,375,613,586,212,324,
268,176,400,085,317,072,748,719,958,669,522,071,306,956,583,245,599,441,138,
725,928,475,791,152,055,532,382,451,820,246,720,459,547,109,219,887,839,113,
481,517,151,630,105,630,972,505,153,190,883,368,712,576,184,238,210,169,254,
735,878,078,157,247,315,172,270,602,299,329,423,166,862,001,770,701,228,726,
765,010,399,822,594,965,210,954,061,090,738,214,184,678,499,819,011,788,525,
510,325,160,232,392,811,678,566,610,262,673,066,937,360,456,516,744,266,453,
977,499,437,337,774,601,351,968,822,826,891,697,543,641,772,095,423,928,487,
760,357,106,482,797,593,301,251,258,593,714,380,894,550,604,357,021,332,463,
573,665,072,982,112,517,018,704,117,911,012,889,713,826,440,244,264,262,780,
141,741,795,723,706,074,543,299,202,825,060,733,576,408,514,235,246,427,296,
792,703,918,061,012,051,507,106,730,043,737,154,766,975,667,531,535,141,272,
889,086,619,970,314,340,090,146,795,173,911,501,984,066,624,773,221,449,475,
249,156,532,751,920,243,265,434,742,545,371,203,387,155,341,580,913,300,519,
287,021,774,617,246,126,336,091,771,579,111,789,543,147,289,812,402,033,519,
833,905,102,476,022,301,031,868,883,481,089,412,835,084,776,925,418,830,810,
705,996,064,636,723,689,769,970,749,398,118,378,586,460,204,984,082,976,780,
149,129,826,626,879,943,035,025,820,491,643,726,630,648,853,957,465,028,860,
618,248,332,376,028,161,154,938,338,483,766,709,667,802,743,177,452,052,354,
920,184,913,044,013,422,041,233,072,821,496,823,358,706,929,063,483,426,129,
594,695,298,672,717,042,545,130,849,584,130,133,079,362,346,002,407,953,440,
092,753,698,795,130,810,826,491,716,059,759,529,839,039,426,389,088,158,894,
010,967,762,121,415,807,412,566,591,865,248,804,136,872,225,835,346,208,781,
110,308,337,833,746,284,668,607,208,648,849,371,806,851,509,923,959,356,878,
882,364,685,191,233,840,718,027,926,082,872,317,211,646,553,489,186,923,487,
871,310,746,984,988,740,394,206,267,103,006,467,913,665,030,104,645,446,132,
789,549,800,268,615,371,863,969,179,090,282,612,427,431,192,685,077,535,229,
541,142,802,602,932,641,065,871,588,166,792,322,957,339,383,904,432,041,229,
374,573,743,763,983,436,848,800,945,575,924,569,460,449,330,287,888,845,312,
486,588,678,588,700,411,536,654,569,935,056,223,257,076,527,909,350,835,220,
598,332,322,450,951,106,227,161,087,899,534,684,439,128,536,216,505,775,357,
573,322,146,718,817,246,568,670,152,666,625,375,301,607,542,111,149,892,568,
355,956,861,264,236,829,284,674,467,577,981,319,961,707,163,876,922,723,644,
635,165,904,993,408,423,836,790,829,921,672,591,538,482,043,304,569,290,273,
007,982,876,658,491,989,970,851,485,928,850,946,928,798,787,908,855,820,874,
200,534,754,063,901,088,175,247,930,857,279,182,867,251,280,070,793,338,560,
677,217,520,850,128,345,940,598,235,725,837,686,944,926,837,872,007,877,251,
355,807,250,760,372,238,996,035,094,502,751,182,727,670,908,742,021,567,281,
714,246,070,279,920,687,308,260,122,854,646,400,754,728,620,898,724,423,323,
896,486,490,284,054,444,584,547,601,413,443,687,152,884,115,930,658,500,259,
314,652,285,765,156,555,048,669,587,714,213,846,660,076,540,532,133,594,152,
190,469,554,235,618,653,859,292,006,359,342,083,811,088,903,780,202,225,980,
102,535,967,971,211,701,510,207,473,628,347,523,743,980,162,717,880,171,437,
086,865,115,075,831,587,862,509,021,703,011,921,521,301,280,879,434,484,595,
848,782,881,848,745,992,093,143,140,516,459,187,212,771,646,866,617,074,900,
673,777,995,400,771,916,185,071,571,278,767,782,027,174,999,016,212,160,655,
544,391,103,392,027,020,575,554,448,639,967,652,149,473,281,771,888,344,260,
590,272,703,743,387,625,526,150,906,315,119,469,467,483,726,682,202,173,043,
061,914,491,393,237,908,513,201,549,561,567,905,094,949,137,582,710,269,322,
391,320,054,322,408,335,916,841,098,657,884,886,587,314,539,403,458,144,297,
158,137,589,670,298,224,398,172,672,790,021,958,668,082,907,061,378,998,860,
635,173,946,050,640,528,169,661,452,597,011,999,301,727,781,285,790,665,450,
120,127,347,119,406,086,445,387,506,672,432,625,176,846,715,252,210,155,981,
149,827,650,234,886,824,811,293,341,135,410,259,258,805,491,991,907,073,900,
914,117,286,316,898,423,657,873,326,988,352,747,589,476,015,052,668,757,017,
209,586,856,237,085,213,564,489,861,482,973,202,953,114,342,079,547,800,900,
319,983,913,243,317,575,579,507,371,519,619,677,643,862,567,429,575,746,748,
545,958,095,295,769,459,992,942,975,077,247,831,031,766,931,488,872,222,948,
155,574,194,425,607,982,714,976,771,418,809,659,006,162,057,515,348,059,713,
877,795,622,538,966,483,094,033,805,356,489,430,142,366,399,612,210,313,713,
004,594,776,871,287,967,376,901,048,978,207,550,963,760,429,336,390,913,233,
884,114,408,269,538,947,185,526,924,495,535,063,770,573,580,678,619,569,831,
375,401,545,589,803,039,436,735,022,152,363,049,050,755,153,111,486,624,690,
929,148,148,350,226,367,964,905,863,049,785,479,244,473,603,027,148,144,913,
115,212,351,897,589,807,833,413,597,767,540,547,504,917,830,019,796,573,854,
589,702,639,824,599,474,058,453,874,881,225,631,237,088,699,393,428,383,996,
772,560,769,465,161,831,099,610,632,627,346,843,349,738,647,576,246,589,692,
431,146,529,031,896,438,288,885,331,047,028,236,983,476,749,289,047,602,503,
718,448,215,848,445,903,645,556,973,375,137,780,371,614,678,192,359,500,659,
820,717,713,270,323,093,807,557,270,488,900,461,961,774,394,808,039,295,273,
847,670,291,724,557,227,615,334,708,548,205,384,699,458,682,752,179,586,679,
300,041,693,834,248,785,412,255,841,550,657,262,175,740,509,226,120,418,894,
565,266,173,571,800,272,788,329,456,619,839,177,245,946,894,393,369,719,815,
086,563,886,667,472,387,067,435,902,462,032,964,510,157,959,401,691,112,787,
382,392,663,381,945,137,620,868,666,022,345,525,179,682,008,726,349,527,083,
681,336,092,932,927,298,240,906,050,119,259,690,022,365,998,847,353,987,405,
179,871,848,641,527,089,730,007,089,653,720,788,367,806,577,420,825,381,393,
973,906,007,126,236,665,630,868,026,524,057,526,142,015,053,586,157,985,667,
635,821,553,526,545,741,947,170,655,659,593,292,712,478,943,774,698,454,159,
575,488,321,111,559,114,810,396,872,856,003,092,668,089,018,686,081,203,145,
386,042,647,581,994,487,286,113,216,569,649,701,467,627,374,782,087,709,463,
095,067,503,471,642,421,033,116,520,913,411,190,578,525,444,645,861,219,797,
160,953,807,972,151,749,759,312,970,460,114,559,290,177,506,412,447,547,467,
366,379,760,336,260,261,126,105,830,228,292,267,802,646,253,168,844,570,033,
338,121,632,108,932,543,407,672,979,119,454,400,646,856,166,998,504,654,912,
637,545,137,616,766,366,783,827,820,310,379,246,556,287,532,589,530,053,521,
204,605,262,773,300,611,320,761,471,551,468,509,914,089,116,335,251,925,341,
621,306,792,819,312,272,269,017,435,376,122,505,925,703,064,109,254,084,645,
192,629,796,236,510,935,046,031,038,950,988,317,936,031,875,287,283,318,189,
273,745,406,593,304,423,596,198,313,507,070,740,373,979,496,466,476,853,273,
005,194,815,091,153,985,790,681,755,982,238,583,808,332,457,730,578,280,483,
343,246,793,489,145,535,749,037,357,277,862,415,758,545,571,976,344,493,923,
945,721,368,961,792,747,396,705,099,007,903,850,438,172,923,164,432,256,607,
119,012,781,282,194,589,606,466,886,797,820,153,852,054,790,018,138,461,886,
490,187,664,068,350,950,498,178,871,773,033,951,664,454,426,830,972,923,190,
060,826,241,039,033,390,650,703,049,860,961,917,949,274,407,552,876,632,227,
094,776,061,583,888,362,414,307,425,166,741,898,052,516,769,003,949,028,707,
580,235,709,966,905,428,123,078,410,226,776,395,598,956,568,339,140,327,672,
800,403,191,920,632,888,474,736,905,322,481,682,496,311,791,132,377,019,778,
781,962,263,760,805,931,783,406,317,392,957,611,358,036,676,600,865,535,707,
521,755,960,497,770,229,772,920,334,739,394,631,802,236,512,936,312,861,542,
480,867,825,067,074,121,241,741,347,118,028,827,754,186,057,498,819,236,415,
958,927,981,487,856,220,723,322,695,295,545,172,528,765,234,451,292,215,171,
818,503,135,575,578,902,014,351,273,494,892,684,892,642,766,750,295,445,580,
379,115,738,210,419,753,764,438,782,461,687,050,889,157,080,773,059,750,323,
217,145,031,871,710,287,436,810,003,055,603,972,899,689,396,150,366,969,874,
363,710,404,025,019,221,947,697,983,025,666,639,431,478,655,911,363,783,662,
569,045,545,607,972,891,935,490,684,362,975,051,957,303,219,039,392,111,840,
604,757,809,168,079,346,834,884,900,175,702,829,214,645,449,899,283,583,195,
802,971,514,065,468,169,816,559,979,460,796,379,360,629,089,135,912,955,307,
989,294,846,476,682,166,786,046,723,321,104,700,681,966,815,348,160,250,233,
070,459,635,218,366,364,364,965,368,618,002,145,117,551,052,663,391,357,247,
349,135,043,403,617,428,988,491,415,929,867,867,499,711,793,478,610,846,797,
214,234,980,612,131,771,739,986,881,220,593,708,731,030,902,747,920,144,642,
184,527,243,737,416,712,112,814,970,550,452,442,149,153,303,172,436,655,614,
095,075,991,059,485,926,351,383,941,161,658,881,095,796,138,532,707,942,702,
140,861,394,334,361,404,776,545,727,859,826,855,338,957,327,506,165,632,993,
211,595,142,811,965,123,708,602,986,696,263,347,962,738,641,617,339,687,063,
989,736,478,741,131,121,962,956,084,082,534,444,806,969,143,440,759,034,211,
992,897,013,080,765,043,593,036,600,907,415,217,029,265,061,963,974,898,131,
329,161,218,508,028,926,912,836,095,683,550,742,991,795,883,725,020,104,818,
928,432,890,169,776,406,970,005,288,894,030,898,696,979,053,387,358,129,173,
610,639,498,232,557,786,994,543,520,243,029,737,444,425,575,328,554,470,630,
301,546,796,286,940,484,665,580,211,619,204,221,963,976,579,211,318,410,283,
058,824,345,667,445,205,824,287,638,112,684,359,713,815,138,920,271,690,332,
618,584,844,770,110,524,443,744,939,259,322,063,219,109,777,353,320,768,289,
468,475,898,652,667,589,933,035,977,418,580,685,890,849,445,135,879,480,645,
822,322,584,617,109,266,663,408,315,036,687,147,196,078,146,554,524,431,548,
250,964,269,472,761,333,108,209,609,510,453,550,237,778,849,157,927,231,493,
910,850,137,797,241,071,229,418,754,443,991,546,604,068,546,700,802,520,161,
423,553,629,776,639,363,248,627,889,125,272,516,503,558,605,388,068,875,591,
620,345,840,689,015,765,182,262,445,351,134,572,628,262,519,075,555,800,913,
944,416,116,792,047,695,723,821,043,069,860,753,440,399,447,412,448,400,484,
069,126,764,216,863,153,860,631,856,354,081,417,271,123,126,909,890,177,163,
500,015,913,380,613,446,940,259,341,928,761,747,870,786,038,490,656,320,782,
743,920,470,105,225,401,617,411,466,919,334,742,412,530,376,985,598,121,332,
635,209,950,970,090,936,718,297,740,842,259,066,075,528,122,179,395,278,247,
524,000,627,652,539,624,766,275,774,567,187,279,914,719,617,363,616,672,388,
528,081,636,076,757,093,085,994,161,748,430,954,011,126,416,462,993,209,791,
762,373,775,706,623,425,464,296,763,381,737,194,548,867,934,244,171,040,345,
287,580,429,212,490,970,318,284,338,192,267,412,976,436,712,821,064,199,403,
716,284,502,196,179,904,817,425,887,955,320,613,814,800,001,502,266,946,417,
563,881,578,504,101,637,960,444,151,513,377,149,317,192,379,677,299,798,955,
757,610,943,399,039,632,000,404,200,324,089,132,133,680,677,656,354,515,781,
636,726,844,411,100,262,933,666,119,139,029,052,014,589,693,948,553,467,250,
078,618,552,412,166,022,054,482,097,944,284,721,132,595,402,978,010,458,549,
651,668,664,791,914,156,553,474,079,639,893,734,151,981,843,779,835,863,780,
979,480,822,440,630,023,614,713,037,501,126,321,268,644,828,437,840,629,486,
667,767,162,782,451,272,359,440,839,187,766,030,643,683,820,100,218,470,081,
442,636,328,804,016,835,347,376,253,164,300,668,873,676,821,552,275,938,737,
699,857,773,019,502,227,677,432,817,123,625,672,796,109,057,798,575,406,584,
620,030,175,315,313,914,429,986,794,182,250,813,240,842,773,527,534,726,087,
066,143,120,821,274,703,866,984,295,840,507,755,356,211,302,493,777,213,655,
146,032,688,288,757,673,719,795,886,109,410,954,844,082,730,055,855,820,165,
683,928,832,540,562,676,931,828,629,850,296,249,863,278,724,469,402,486,308,
279,370,675,679,068,829,904,463,802,254,720,478,046,759,540,522,930,912,935,
796,718,345,333,259,226,328,597,233,994,584,442,886,448,268,532,194,317,797,
486,467,803,042,967,634,457,822,455,639,600,566,474,792,659,687,030,769,162,
302,032,197,413,999,904,288,080,234,789,740,845,448,753,244,311,212,970,998,
739,802,212,385,429,663,244,362,798,549,388,180,586,367,832,193,245,529,387,
895,061,926,022,100,405,412,152,324,721,762,570,252,023,104,525,762,921,815,
400,981,931,140,387,835,550,380,271,439,252,500,435,143,695,470,713,265,962,
660,244,712,110,536,269,029,351,153,572,706,827,089,199,181,233,125,030,468,
394,335,348,109,778,921,842,213,667,077,687,653,435,227,109,686,802,166,135,
800,949,668,187,063,851,043,402,028,576,868,170,645,147,363,016,452,881,054,
062,798,204,235,675,923,570,539,975,294,538,243,357,392,851,686,387,437,499,
247,218,303,245,055,932,977,404,009,183,180,044,764,013,376,318,149,197,177,
786,948,429,719,379,593,624,704,394,093,734,005,284,572,806,909,939,578,917,
000,218,134,148,859,265,074,514,738,569,486,151,635,686,691,830,868,634,436,
527,945,496,151,536,142,487,541,024,974,162,860,798,896,221,703,038,253,372,
465,945,092,159,186,483,447,378,935,331,165,899,491,234,157,654,101,437,900,
754,535,355,264,492,928,462,962,416,568,309,377,498,701,148,086,379,981,096,
104,237,838,280,609,338,417,975,246,438,871,193,013,126,271,748,219,355,477,
259,240,134,190,569,036,799,526,708,591,286,625,064,041,304,454,669,731,952,
266,126,001,804,743,191,556,771,342,195,614,363,213,170,993,813,452,334,650,
413,481,220,701,748,128,320,562,104,639,632,762,721,240,763,325,035,291,719,
397,580,290,193,724,505,645,643,340,326,409,212,053,285,978,118,170,668,959,
867,652,364,946,146,405,174,955,390,224,171,003,856,539,580,283,141,516,072,
464,408,479,542,437,580,775,468,132,214,284,494,078,934,279,170,691,788,157,
631,877,471,353,455,285,926,340,483,548,321,359,835,431,432,793,102,540,073,
671,893,213,616,187,810,017,362,763,246,109,818,758,947,221,230,180,368,087,
635,541,394,200,514,306,842,630,993,973,058,275,880,053,991,452,872,087,783,
670,911,313,508,230,439,987,335,369,447,207,723,016,299,432,984,812,878,549,
709,047,622,389,596,792,470,001,272,037,920,408,502,888,287,882,296,647,581,
776,199,170,052,341,308,029,616,282,726,968,391,737,112,963,941,741,244,043,
449,731,696,720,835,488,514,349,379,419,637,316,779,673,665,507,462,279,726,
263,845,825,662,472,259,686,783,872,808,222,988,313,532,544,417,768,770,362,
591,502,066,742,590,772,817,363,329,832,148,238,571,569,152,273,281,389,112,
117,666,354,451,474,561,441,128,587,638,120,573,364,942,354,394,965,063,540,
385,130,629,196,943,580,124,520,733,737,770,302,627,387,550,445,478,008,175,
288,656,956,871,773,630,749,904,129,874,465,457,231,608,165,574,879,397,474,
143,261,869,220,135,467,738,153,849,551,952,169,459,566,496,579,500,720,600,
149,090,137,166,610,446,951,058,579,820,785,080,476,278,900,339,843,285,651,
768,764,743,155,583,673,697,696,056,576,250,124,282,458,581,516,844,067,176,
910,710,148,822,931,523,720,772,871,414,391,219,071,780,322,952,277,466,860,
476,202,477,608,150,165,418,486,625,841,916,433,510,224,059,122,282,007,538,
282,525,583,662,667,335,483,700,642,293,033,763,053,496,943,773,456,021,055,
440,138,589,896,687,985,074,727,876,725,425,520,110,732,803,522,537,401,027,
582,640,150,116,225,489,458,765,585,109,280,332,988,495,348,611,895,837,103,
757,598,216,417,668,061,609,421,514,682,610,787,923,262,161,331,993,911,641,
512,931,171,999,186,300,500,383,702,771,972,064,280,688,507,855,424,671,823,
202,102,384,519,329,894,262,971,438,323,028,120,529,999,396,807,436,612,211,
244,221,438,980,250,880,334,759,773,212,737,181,083,283,975,014,329,841,900,
908,982,027,321,474,029,756,752,767,453,377,939,044,201,075,446,282,447,123,
634,663,876,133,943,081,759,190,170,404,241,575,721,611,629,511,440,774,265,
955,995,896,038,442,799,435,806,780,907,971,544,402,189,230,967,076,065,957,
258,830,948,597,216,978,555,798,107,793,456,241,854,890,641,367,628,431,411,
013,755,389,235,170,075,518,286,071,930,582,493,353,926,608,790,405,533,025,
725,802,695,684,355,667,032,973,317,504,392,579,877,996,216,169,544,801,823,
375,306,943,639,421,476,011,367,461,171,658,331,690,957,770,016,768,224,050,
402,523,903,215,120,202,122,317,348,052,730,767,693,877,811,484,790,312,359,
440,338,270,630,361,400,963,325,187,862,618,701,854,965,034,792,644,287,198,
411,365,269,078,782,274,360,107,187,423,794,593,245,154,110,878,458,981,825,
072,658,934,448,827,793,633,343,111,319,385,455,553,577,165,742,119,236,454,
172,551,301,843,362,530,151,377,985,337,886,121,277,011,167,907,407,074,235,
761,204,863,737,457,425,990,764,991,074,085,077,017,854,153,371,981,275,699,
929,612,403,139,563,954,008,147,698,024,118,287,132,486,112,742,503,336,664,
574,328,163,032,579,131,611,642,384,509,343,623,493,145,256,908,325,215,936,
820,722,483,225,251,327,053,117,204,634,823,319,515,476,265,256,599,108,070,
200,704,494,489,910,879,705,426,589,242,421,962,795,743,910,032,326,999,415,
462,718,056,221,004,583,527,865,221,135,729,316,207,331,438,460,761,739,090,
406,101,849,037,924,240,594,594,377,194,040,860,212,494,991,838,069,400,233,
189,017,486,952,856,298,967,350,692,382,546,105,578,313,718,613,859,395,704,
332,189,888,468,066,109,625,086,284,038,847,455,728,856,881,294,003,843,869,
134,540,038,003,031,775,198,594,135,684,665,149,029,215,843,702,049,736,564,
141,265,546,683,417,748,802,756,273,994,633,437,855,644,830,172,217,017,844,
633,351,337,908,392,243,592,290,284,710,586,228,473,969,468,777,027,554,169,
337,152,490,053,037,992,094,125,142,263,114,528,759,162,894,457,738,913,888,
044,954,089,576,247,225,736,984,052,252,041,818,319,191,399,544,136,516,685,
089,388,171,714,820,396,606,807,645,983,728,319,631,641,811,537,351,317,623,
023,813,248,101,087,667,169,162,455,634,009,593,279,330,343,470,290,471,151,
832,247,373,106,907,866,703,344,992,312,436,123,060,821,083,652,451,483,364,
639,596,810,951,649,223,099,324,704,429,362,947,702,577,190,326,109,749,178,
941,179,396,596,369,386,688,508,422,868,988,968,736,616,249,761,371,117,014,
053,081,709,614,061,359,769,180,313,464,887,001,291,144,304,649,921,258,847,
423,420,455,236,641,259,802,464,874,313,866,584,431,177,616,212,917,736,245,
032,953,210,711,704,321,317,966,023,502,256,583,749,858,629,504,650,233,652,
101,179,402,471,897,927,446,314,231,473,920,149,109,555,812,735,453,435,803,
687,921,903,992,952,332,305,057,562,485,713,420,366,808,058,363,451,104,103,
412,274,434,463,935,374,785,696,461,078,370,647,414,828,321,120,848,914,562,
048,458,050,434,028,155,594,900,910,937,053,901,495,415,464,023,918,739,197,
202,710,768,120,065,809,072,444,058,432,878,124,227,512,607,041,271,195,072,
169,899,572,886,928,752,313,398,134,312,505,255,280,598,550,139,525,013,339,
796,339,394,378,725,368,620,659,537,924,468,775,881,807,815,009,043,452,036,
955,453,560,436,458,020,400,016,891,283,586,477,050,158,477,057,855,812,428,
700,757,877,437,511,530,515,748,682,835,853,270,983,937,848,422,618,902,301,
301,676,403,275,386,894,124,105,799,730,017,677,692,449,697,877,386,767,862,
531,645,579,739,709,673,928,178,222,696,179,638,389,328,264,468,864,370,736,
265,499,053,556,072,144,564,797,335,720,680,976,383,208,550,833,539,501,170,
491,654,714,166,640,902,455,133,290,979,955,354,776,691,786,316,053,459,768,
443,799,571,236,949,260,907,735,058,121,883,793,552,743,335,244,313,768,469,
682,835,333,108,653,921,263,776,019,057,278,368,722,765,312,756,324,532,560,
096,251,944,370,306,912,153,869,656,284,014,184,690,920,175,152,330,574,072,
855,207,233,305,512,622,199,038,379,909,536,214,030,647,253,684,823,762,958,
090,692,549,729,120,602,437,024,768,991,929,355,447,230,240,816,734,112,423,
608,003,364,885,496,494,963,002,474,853,181,279,064,685,570,055,552,078,207,
926,639,015,159,243,341,215,365,045,389,463,155,401,935,248,579,050,384,651,
368,869,898,270,055,507,381,629,785,443,929,019,649,083,526,948,135,623,693,
901,424,398,986,584,025,885,640,429,959,122,135,839,049,036,080,629,885,983,
681,234,728,774,077,150,235,051,471,206,839,468,853,520,547,867,681,167,901,
947,686,672,700,100,735,091,671,932,986,658,393,682,570,301,000,303,103,149,
485,202,145,699,114,522,404,439,579,954,553,949,540,606,981,112,024,052,109,
589,251,597,061,556,489,266,682,399,499,514,347,947,846,190,464,796,148,259,
651,716,680,882,950,746,074,356,530,031,122,318,199,367,971,693,931,200,268,
345,633,142,258,182,313,782,951,029,887,853,002,437,306,276,334,717,459,423,
154,149,279,805,963,845,941,911,492,523,400,544,408,725,460,020,607,714,387,
343,338,718,674,366,738,480,096,582,611,375,366,812,858,635,957,003,974,681,
616,604,023,241,049,677,126,934,489,166,326,522,811,463,353,546,114,424,382,
983,390,914,435,132,425,262,421,621,272,064,895,509,647,688,191,081,742,041,
314,006,983,891,523,677,858,811,208,576,486,434,988,860,057,883,677,770,880,
348,930,953,374,820,752,925,498,109,027,385,505,218,971,514,379,585,841,128,
138,418,574,021,224,284,723,745,220,587,319,932,207,787,019,855,316,988,462,
722,358,898,551,854,643,872,559,743,117,400,815,675,282,463,188,331,027,845,
196,436,693,463,361,140,786,948,182,994,301,620,890,205,725,488,134,499,651,
029,245,863,852,407,498,327,255,383,935,400,641,379,516,563,396,360,014,785,
486,635,151,220,027,921,650,443,740,238,743,300,281,300,016,323,395,610,976,
239,266,126,033,958,396,728,814,252,257,786,396,845,262,601,688,661,861,747,
336,328,592,198,222,104,572,049,637,106,215,242,741,827,331,149,589,675,159,
958,258,283,863,529,329,541,500,043,512,190,548,230,892,326,144,424,869,199,
077,888,472,775,082,664,342,707,679,901,190,845,677,337,154,264,509,487,314,
286,230,340,444,649,309,989,236,244,644,925,713,167,817,948,044,805,206,656,
425,791,568,689,737,895,366,105,620,256,684,811,726,373,835,137,775,170,352,
473,915,428,168,055,423,065,754,899,284,917,507,639,438,241,737,323,879,794,
963,105,568,647,614,190,293,804,646,227,303,935,306,475,585,673,051,015,063,
015,859,543,597,114,926,553,547,630,802,984,949,093,424,282,973,613,924,130,
585,231,412,474,138,226,584,106,236,072,012,886,131,974,115,287,284,417,874,
629,266,849,297,826,544,573,491,841,691,053,848,295,716,384,740,178,843,640,
683,767,394,624,095,474,414,751,965,175,279,970,587,747,467,072,940,213,456,
445,050,215,438,870,155,980,400,120,741,820,040,952,524,916,289,539,523,452,
564,124,936,456,277,198,665,453,082,058,190,820,461,766,090,022,978,714,102,
117,752,540,694,924,600,887,250,806,691,814,535,187,092,108,161,640,504,984,
550,982,976,088,587,935,472,815,226,582,741,075,457,067,262,837,281,346,917,
121,974,148,126,190,277,511,380,270,342,569,125,160,397,988,917,720,194,487,
212,814,522,417,548,288,737,667,368,138,109,771,194,947,804,382,073,622,672,
563,358,827,615,767,944,125,488,818,140,759,849,805,814,124,083,374,027,076,
360,395,260,082,678,737,512,368,815,131,118,733,108,866,976,638,610,240,454,
764,703,749,456,982,534,176,607,455,676,855,893,996,258,149,950,727,919,199,
380,828,898,705,660,988,545,218,837,348,334,221,207,126,213,157,175,351,749,
885,761,881,320,307,653,123,430,289,629,532,674,447,696,118,651,653,579,525,
481,354,279,795,672,680,333,323,033,826,390,238,483,354,961,537,338,417,296,
505,292,188,134,329,855,818,387,412,716,931,695,514,231,205,107,924,015,558,
649,878,294,302,747,886,919,864,523,245,181,333,511,045,879,045,867,371,034,
303,000,650,605,245,696,778,883,268,869,688,467,453,069,989,459,144,199,266,
613,465,094,455,804,328,562,875,432,889,336,341,596,207,921,635,751,722,439,
013,071,978,963,416,771,500,955,955,029,592,619,691,803,696,138,096,935,651,
845,499,817,014,563,067,064,639,504,952,062,023,231,714,103,276,269,602,988,
000,896,458,007,141,656,623,647,027,603,260,287,299,237,213,300,274,922,456,
440,168,821,852,452,336,146,421,857,540,249,070,139,372,583,161,862,427,409,
519,213,806,729,579,822,352,080,754,536,656,973,523,784,767,503,652,051,604,
137,469,993,133,044,381,236,631,313,409,518,142,084,003,008,426,230,339,930,
042,638,351,883,950,457,557,496,161,343,134,598,972,345,375,682,511,752,936,
357,346,078,764,044,596,591,351,115,251,214,271,940,020,419,708,834,055,926,
724,834,480,805,247,734,883,590,850,639,521,537,951,711,789,728,304,355,682,
349,028,393,924,819,353,446,642,016,126,010,977,949,313,880,186,390,733,413,
465,674,960,562,618,746,752,464,716,015,794,197,905,472,938,513,201,709,566,
567,627,466,757,240,655,911,217,045,585,644,749,153,666,073,655,271,816,216,
805,044,568,078,742,218,339,760,717,280,745,904,320,839,499,714,905,224,677,
344,931,199,729,805,488,563,128,009,530,807,629,339,569,986,461,721,475,915,
640,277,436,988,978,109,020,746,870,217,438,623,964,802,908,820,007,678,392,
399,315,450,333,437,192,092,404,045,954,430,791,234,138,825,049,052,338,812,
004,261,101,643,117,458,667,154,618,119,929,101,621,503,149,756,342,580,102,
022,957,786,013,557,848,014,669,539,109,631,356,224,849,030,784,066,878,079,
285,423,553,738,913,383,714,373,878,242,377,123,781,196,048,261,468,943,136,
362,817,150,445,288,455,310,536,588,588,561,701,681,803,134,259,941,071,859,
453,004,445,603,907,112,859,547,992,887,851,231,168,277,113,494,125,908,633,
148,023,117,932,790,765,403,182,497,181,971,247,581,050,025,470,545,200,703,
325,579,283,324,020,839,305,749,490,095,540,167,048,212,075,987,008,892,905,
651,288,946,176,230,478,775,345,466,437,509,224,561,563,879,482,827,240,178,
748,054,861,171,654,081,639,057,739,558,949,196,028,579,989,337,515,231,335,
006,876,844,216,005,145,798,139,309,282,436,023,671,246,890,006,333,339,362,
578,304,659,265,030,056,662,192,982,806,071,612,757,238,537,095,351,843,029,
129,885,385,498,294,901,224,929,316,963,389,959,595,577,494,459,623,546,281,
279,446,097,471,705,241,894,422,469,175,135,938,190,861,616,253,593,541,923,
570,215,811,147,050,561,005,151,199,438,879,831,706,903,478,102,286,377,641,
075,269,660,640,406,544,855,421,113,223,606,171,410,831,876,261,919,179,605,
429,457,043,842,783,547,753,601,493,204,175,211,901,432,584,940,986,661,089,
555,366,967,744,998,245,945,992,066,727,095,955,448,651,753,843,113,158,154,
762,945,808,029,445,746,123,270,326,933,107,094,160,984,162,579,672,393,254,
490,181,779,930,445,799,276,221,363,653,601,259,409,604,591,294,927,991,597,
780,738,933,357,830,240,594,360,256,119,660,522,444,706,190,966,344,704,346,
056,434,949,008,189,440,903,278,741,236,339,740,738,993,031,339,739,431,357,
962,530,950,993,130,755,315,530,943,763,274,351,917,319,444,968,011,175,559,
802,433,536,653,552,421,937,354,331,293,274,719,257,298,987,904,380,810,096,
165,906,613,520,434,778,687,636,189,223,154,325,744,536,987,926,406,465,756,
655,083,182,758,829,122,263,442,500,182,047,991,313,937,191,711,230,167,315,
660,514,101,085,132,679,082,365,005,708,787,985,703,621,220,561,546,015,932,
606,444,476,189,427,768,653,276,196,143,111,407,643,012,300,560,412,798,193,
275,127,701,073,295,037,322,264,722,424,638,093,192,393,560,668,669,183,902,
573,503,415,634,753,914,180,812,474,982,763,354,667,066,860,616,599,879,888,
357,585,424,167,358,626,791,839,528,427,915,160,298,378,754,636,724,756,493,
111,197,381,856,008,526,787,249,964,836,843,207,483,222,813,341,413,126,720,
145,405,146,295,634,916,491,396,893,168,769,931,212,255,234,173,935,874,328,
562,532,168,312,059,935,258,824,470,975,806,427,348,053,619,250,294,501,496,
807,854,115,046,871,131,714,629,358,012,470,521,586,917,084,955,195,566,459,
095,813,647,216,874,872,965,884,640,880,896,987,208,564,862,411,929,735,298,
621,171,914,602,461,450,214,840,886,033,564,888,644,612,731,990,548,991,398,
841,137,168,925,506,493,163,312,425,705,016,227,516,367,065,086,531,503,968,
353,911,764,304,396,999,863,262,477,920,511,790,726,932,866,168,627,656,491,
847,256,096,944,514,787,968,800,881,865,341,562,053,833,414,547,294,324,667,
974,229,273,419,790,381,997,301,759,446,573,398,773,254,048,221,316,815,823,
936,485,990,246,302,835,190,723,486,883,841,009,866,434,780,499,061,301,839,
949,842,768,460,353,387,017,622,756,567,105,319,423,854,491,516,022,494,563,
032,178,512,052,674,009,275,354,567,012,194,280,762,021,398,726,910,844,566,
372,637,433,203,822,884,701,577,933,701,592,459,968,278,751,210,638,205,290,
827,404,416,658,644,314,002,280,691,462,046,892,430,431,902,355,414,981,351,
161,729,109,508,135,675,993,247,815,568,958,909,285,488,709,420,550,011,951,
470,979,497,223,325,448,976,037,296,891,335,783,506,317,206,025,804,283,158,
721,763,788,955,150,741,658,381,708,587,512,030,134,005,859,615,615,648,629,
951,130,793,256,301,122,677,480,368,041,229,353,130,496,516,572,551,032,192,
251,556,803,867,923,670,369,077,206,441,672,157,318,450,680,908,952,635,462,
908,699,850,462,755,938,680,417,789,134,708,403,476,837,583,129,537,816,929,
753,360,227,954,842,091,751,560,433,391,129,057,546,188,636,956,336,832,840,
828,691,431,816,705,595,699,177,513,167,499,328,660,089,743,219,680,995,894,
419,706,081,529,346,961,858,780,049,495,619,768,417,640,051,454,978,122,089,
296,516,429,591,409,310,574,090,131,824,434,473,382,665,667,276,658,176,485,
116,843,697,838,170,653,790,825,236,501,399,466,721,036,371,444,866,526,645,
593,615,004,873,623,667,127,439,079,600,466,180,558,108,061,840,177,353,838,
902,814,412,404,182,158,940,515,835,799,562,572,539,472,693,466,060,528,428,
842,246,457,691,044,031,591,787,112,094,897,747,223,279,925,185,677,457,215,
522,468,031,157,033,765,119,053,222,405,563,402,990,409,070,518,263,840,128,
905,254,344,939,953,408,887,512,977,742,083,023,860,959,735,409,933,251,560,
073,610,948,364,143,455,215,688,732,502,648,440,336,708,189,674,994,235,866,
974,968,384,977,312,983,223,665,225,400,216,242,283,557,391,368,499,097,826,
888,812,440,697,548,612,881,738,097,617,879,901,035,647,191,529,846,250,932,
944,462,998,888,147,275,406,439,055,702,596,173,355,958,575,218,438,265,281,
494,108,651,769,078,989,168,339,724,277,266,428,973,790,052,372,247,537,883,
949,039,317,747,531,420,906,100,959,573,986,472,750,643,330,772,472,103,751,
742,282,279,251,338,949,070,126,618,114,723,611,578,071,887,901,001,806,145,
888,160,542,225,073,094,649,991,512,838,161,388,404,029,532,524,331,898,984,
433,632,875,604,118,557,665,191,484,352,980,794,356,996,625,059,009,374,144,
745,806,546,775,808,337,995,244,085,704,667,006,522,010,594,342,095,294,493,
198,563,717,137,027,966,155,225,396,856,223,315,123,639,088,615,726,031,039,
035,638,144,336,442,556,306,451,872,270,665,863,806,258,573,269,634,637,630,
702,012,193,604,550,334,717,018,044,923,613,809,911,793,030,700,250,419,205,
655,810,115,232,627,348,966,319,719,511,224,468,434,731,436,078,166,400,563,
669,551,750,086,244,555,674,320,202,644,623,489,724,846,773,793,403,690,218,
279,860,862,467,912,339,999,398,071,457,217,113,921,292,203,975,578,318,646,
519,555,863,543,889,115,289,776,763,011,965,021,844,215,803,971,974,468,062,
441,901,540,512,115,561,676,721,362,230,804,952,731,303,766,759,870,489,913,
715,328,111,561,817,860,233,367,020,556,604,441,392,309,566,840,083,740,207,
969,491,839,826,064,917,041,231,344,545,670,549,620,116,952,208,736,946,429,
803,647,099,799,298,342,875,031,391,730,442,262,609,535,003,525,918,149,143,
523,822,331,209,508,711,463,151,277,747,573,580,122,978,836,762,266,386,433,
131,599,553,220,339,975,156,624,654,033,309,055,707,393,124,933,981,622,770,
779,401,546,079,158,396,733,995,217,711,476,166,957,281,750,647,052,577,858,
155,985,222,273,813,818,841,493,407,077,471,473,746,363,273,365,078,754,952,
056,288,804,978,550,720,873,463,462,309,827,100,184,629,963,616,611,441,277,
931,076,100,508,997,883,849,615,159,487,452,499,569,370,945,531,013,768,713,
565,417,682,495,650,985,803,569,613,239,013,324,328,950,143,838,610,695,242,
389,970,800,704,235,214,969,808,756,547,535,949,077,501,880,019,667,545,457,
054,558,019,795,261,341,767,033,689,409,139,310,248,559,559,014,772,162,391,
705,274,273,923,550,857,023,907,166,274,642,433,286,567,400,898,801,107,169,
252,731,562,252,158,959,642,436,332,147,724,480,953,533,363,638,342,240,272,
515,562,108,646,780,508,903,341,288,289,542,486,356,601,732,522,389,558,688,
072,950,590,701,101,105,301,743,477,824,746,948,820,767,633,446,347,334,041,
169,825,486,642,065,563,380,743,300,615,816,372,456,804,757,892,724,992,572,
236,203,089,352,924,245,664,191,886,542,158,446,355,074,412,569,432,907,737,
002,086,381,931,359,295,938,155,562,577,113,519,501,441,962,634,349,807,611,
009,641,033,228,571,601,449,362,036,377,110,465,393,115,772,439,214,693,757,
090,344,671,652,322,866,666,958,467,547,275,073,464,667,706,398,467,060,580,
389,617,248,935,401,554,194,453,177,713,542,942,426,682,950,192,365,759,043,
201,869,185,708,918,183,027,487,028,711,033,649,277,389,611,960,101,054,006,
962,004,009,686,712,223,216,698,633,392,203,422,436,183,239,473,233,699,970,
074,787,518,036,808,775,694,788,519,965,289,411,401,847,601,570,528,736,654,
360,157,624,291,820,304,971,078,934,709,136,531,233,264,905,102,308,282,763,
317,654,167,583,942,355,037,003,242,570,341,491,249,492,379,386,639,260,277,
602,517,387,612,486,130,777,360,213,882,950,376,863,476,060,537,180,520,334,
327,105,285,589,422,089,815,864,168,829,261,171,976,973,202,322,453,028,162,
844,241,106,763,748,843,461,193,748,919,387,601,928,267,053,543,458,486,501,
714,932,783,453,033,821,696,750,021,286,158,267,306,580,611,015,416,540,566,
390,217,615,740,313,198,947,287,326,180,283,159,682,807,235,760,401,566,195,
745,057,097,248,467,530,532,418,746,924,026,533,914,820,767,089,418,042,486,
445,061,731,090,093,640,978,633,134,697,244,485,912,080,986,866,044,368,269,
561,341,270,950,199,108,563,940,146,124,120,379,543,610,358,238,323,848,726,
287,189,877,723,089,751,564,197,329,650,621,418,460,468,203,498,193,468,240,
066,453,136,151,666,169,295,755,169,418,437,326,639,090,981,264,158,385,522,
989,059,343,824,827,996,442,980,378,932,354,461,341,297,897,685,958,802,155,
138,178,361,282,077,494,746,972,886,322,708,096,451,033,262,398,355,140,790,
114,343,388,141,043,187,439,840,430,341,270,259,365,578,961,614,692,314,533,
618,055,819,659,982,693,205,440,934,386,037,073,839,298,679,073,411,832,098,
101,539,643,005,255,081,000,338,435,266,395,332,357,368,704,404,141,201,312,
349,286,627,221,676,864,388,897,608,727,661,237,020,030,924,726,364,959,871,
350,960,799,816,714,820,780,915,270,035,422,280,466,634,342,562,687,902,938,
234,600,210,627,024,827,384,178,598,461,178,100,477,968,446,733,338,573,659,
892,782,252,043,250,557,494,181,131,735,320,951,315,332,854,814,828,014,174,
892,670,670,133,717,350,449,135,144,698,687,003,207,520,046,466,209,873,299,
466,141,271,640,564,609,329,936,156,536,798,752,526,217,109,359,779,266,396,
008,909,602,110,905,592,982,792,348,178,876,947,527,731,876,606,146,479,993,
151,253,092,111,301,641,798,466,988,877,418,836,252,982,620,507,305,166,091,
027,165,972,913,958,369,888,303,664,904,090,920,151,356,703,904,978,765,469,
745,243,157,316,605,766,132,988,340,415,097,524,973,032,090,439,941,152,304,
968,193,991,023,557,695,857,164,581,519,330,432,755,317,915,252,978,315,583,
272,091,941,117,860,826,927,906,994,343,375,600,113,831,052,119,668,329,201,
579,544,996,436,303,392,141,820,808,853,613,459,353,206,482,315,960,434,188,
865,786,750,066,894,137,808,897,944,488,615,775,566,209,097,628,239,664,988,
516,142,503,063,652,404,482,619,516,637,933,987,420,852,667,227,844,292,607,
483,348,391,666,032,301,324,040,057,893,297,204,008,590,401,886,972,310,876,
630,651,050,828,617,632,851,581,723,674,206,626,486,730,576,260,202,199,867,
845,427,248,258,020,687,533,044,687,878,377,560,419,967,062,603,335,351,902,
477,608,602,529,394,479,806,716,884,236,137,793,243,804,254,420,797,241,619,
370,123,899,443,104,863,953,352,827,109,035,726,614,358,833,374,957,404,498,
334,640,342,175,069,713,202,157,667,881,092,519,456,491,627,055,439,431,649,
267,092,824,633,438,701,100,581,233,396,609,545,346,434,275,627,200,355,784,
073,321,209,466,480,041,666,296,300,605,853,169,931,730,544,016,010,386,919,
503,108,969,931,779,420,601,702,811,601,357,120,103,777,517,076,550,015,427,
405,301,741,754,562,502,106,098,219,027,915,438,403,549,587,446,288,580,113,
524,435,234,266,857,135,971,045,167,771,182,437,933,357,455,677,421,931,872,
419,808,924,804,975,737,292,396,552,055,128,640,664,551,789,216,823,863,982,
963,006,058,450,719,323,750,869,275,601,348,260,459,357,847,503,669,284,315,
419,642,740,116,184,626,248,095,918,134,058,847,587,021,536,885,673,044,889,
758,538,849,378,139,744,556,000,421,113,961,204,441,846,708,082,153,763,278,
048,502,685,545,663,860,003,698,821,429,998,989,282,589,044,459,973,654,919,
795,006,960,732,288,726,251,122,885,532,191,526,083,016,183,182,186,757,780,
666,787,720,637,177,735,162,475,488,267,663,447,667,062,435,869,595,204,875,
826,754,105,268,552,421,065,961,093,787,785,915,670,126,175,384,009,016,522,
992,360,998,069,899,491,263,413,736,069,710,097,798,824,035,438,878,541,153,
903,734,750,297,664,711,061,891,299,675,164,479,915,366,328,175,820,391,379,
208,020,854,116,557,573,271,737,222,071,427,033,111,549,846,136,146,319,261,
502,967,668,119,766,497,501,851,939,858,025,173,804,175,838,376,649,918,251,
500,086,972,320,226,075,460,263,548,102,953,741,105,479,941,293,390,359,548,
402,391,913,789,588,551,977,170,064,144,436,979,613,227,756,587,142,958,036,
707,155,551,918,275,648,087,914,243,846,760,264,374,863,502,264,366,424,155,
305,207,679,393,915,265,011,358,992,465,551,992,602,424,041,603,648,271,912,
636,169,615,724,786,101,418,513,899,779,219,473,876,853,586,585,120,659,331,
612,061,534,467,069,238,886,958,581,448,850,122,335,852,314,549,130,811,296,
149,072,934,976,715,089,670,759,262,722,393,120,915,818,980,351,638,540,222,
648,413,906,229,764,266,386,029,545,902,930,171,224,011,160,091,361,573,161,
713,716,033,765,764,190,866,296,446,056,773,410,356,272,421,687,351,188,591,
005,796,647,324,762,617,065,042,093,144,837,933,126,309,198,914,963,868,085,
523,857,835,326,248,320,241,402,329,489,342,377,412,201,630,892,035,678,992,
994,008,739,818,409,982,938,710,629,618,510,129,648,452,228,480,407,170,247,
080,217,049,064,677,267,502,875,782,229,248,336,565,029,641,190,857,365,982,
391,298,317,767,743,046,726,688,576,334,907,735,898,658,375,455,865,570,755,
500,195,031,410,552,428,993,850,192,592,765,860,828,622,329,907,214,305,661,
890,518,914,140,565,550,970,143,399,246,976,903,890,535,228,411,660,250,356,
773,890,424,187,603,823,626,232,544,164,326,162,158,921,480,281,059,993,294,
147,702,087,627,578,830,729,132,883,630,048,680,824,365,320,435,640,034,457,
781,471,544,194,388,458,750,872,780,837,468,762,222,931,166,764,976,130,579,
389,714,332,030,554,425,250,693,384,767,952,217,256,919,474,811,764,490,233,
097,673,636,298,029,722,089,973,702,641,182,250,290,609,188,388,542,704,446,
278,687,277,145,072,102,683,717,445,683,156,350,202,738,999,119,366,994,850,
994,276,661,137,473,899,933,140,022,822,201,695,895,585,318,010,331,367,779,
727,776,324,233,726,532,812,155,546,239,431,627,993,272,810,947,408,343,451,
198,296,453,741,252,732,427,237,011,223,046,641,216,121,800,056,192,037,452,
505,281,837,207,645,972,479,848,220,297,257,242,048,207,235,630,149,172,869,
097,802,829,371,417,709,020,340,814,518,941,565,392,774,385,132,832,678,673,
452,501,280,322,763,961,250,637,830,491,064,295,465,631,064,116,794,013,271,
097,448,558,286,611,849,410,916,929,214,593,336,606,596,370,129,211,690,373,
649,207,884,240,938,929,226,643,235,198,331,010,804,767,343,246,181,445,846,
589,408,153,942,160,572,247,795,058,479,429,733,889,960,492,366,540,706,874,
849,141,468,966,330,811,126,520,292,635,919,313,913,491,193,542,471,239,392,
351,140,832,534,813,387,693,901,697,063,333,852,289,208,452,739,736,877,948,
755,346,021,247,919,719,341,082,812,284,610,942,218,951,544,997,440,287,037,
589,014,743,555,631,086,023,854,067,162,462,206,015,420,729,898,554,476,453,
527,762,871,174,307,033,712,395,512,768,468,752,176,378,085,027,621,369,411,
260,637,758,459,301,722,156,498,605,113,492,762,484,967,857,607,251,762,867,
368,631,556,649,836,563,031,420,738,225,364,799,507,492,817,289,343,200,764,
526,231,722,470,622,261,212,190,770,904,382,166,165,047,904,107,927,455,293,
016,927,585,432,725,550,486,593,389,425,079,392,156,614,398,615,132,760,101,
724,043,513,715,656,877,698,591,040,214,363,474,159,720,260,527,951,623,137,
015,095,325,659,228,746,789,794,637,761,624,309,613,448,555,985,374,528,165,
985,302,851,635,980,548,378,292,939,618,245,528,273,745,199,008,419,162,675,
859,918,315,970,225,152,868,114,284,396,932,736,254,817,242,664,679,642,705,
838,923,482,581,018,040,404,347,319,323,101,913,131,972,841,833,231,326,380,
170,990,147,595,566,497,405,605,041,853,764,275,893,917,207,611,025,472,092,
380,545,080,682,055,635,235,548,551,206,638,782,584,175,573,248,273,656,622,
319,058,701,854,735,859,596,604,886,276,830,798,881,864,457,153,887,048,517,
267,660,421,060,202,905,510,281,153,869,922,133,663,161,517,526,714,488,304,
992,898,381,487,761,232,612,796,565,959,917,069,288,595,701,864,640,258,827,
753,862,601,719,798,660,910,673,224,013,789,171,567,698,633,918,418,836,749,
280,360,164,733,472,824,474,699,352,434,676,683,203,762,003,048,586,124,817,
304,581,668,382,279,266,025,706,839,360,799,463,880,990,051,372,899,233,826,
752,460,559,302,491,490,635,284,011,346,727,257,067,206,392,030,369,745,111,
663,628,901,556,974,092,174,398,102,845,429,188,299,002,949,941,116,283,063,
211,663,357,849,209,353,369,963,985,275,978,332,812,890,680,543,727,803,924,
931,846,819,087,327,591,835,479,656,430,097,168,139,051,845,157,605,912,003,
798,013,401,343,097,481,728,326,816,574,063,014,728,656,986,414,138,381,575,
390,756,913,104,494,394,402,976,989,445,992,855,015,491,296,568,150,702,385,
775,039,991,382,216,723,165,532,617,351,247,142,208,192,765,771,533,062,863,
063,854,098,380,412,060,261,219,448,708,125,531,639,834,268,191,467,701,076,
679,659,976,203,094,965,558,806,600,080,480,891,196,112,208,105,889,512,811,
954,097,841,517,105,645,816,333,462,521,520,646,997,269,874,489,835,283,543,
853,613,685,041,598,094,451,985,087,058,685,850,087,782,114,233,015,283,530,
604,387,591,027,490,191,888,197,200,166,797,704,685,217,224,649,968,206,548,
918,117,567,748,316,857,012,333,677,916,638,928,909,749,511,994,981,014,445,
767,264,696,167,439,193,446,191,012,763,904,083,759,151,114,147,915,894,290,
295,064,245,326,233,848,438,623,461,331,121,560,908,655,083,643,343,360,157,
128,016,739,766,910,897,688,049,091,552,800,964,231,718,426,705,336,046,380,
624,995,504,463,860,461,850,200,951,072,907,810,691,098,640,086,397,405,431,
984,381,159,498,638,939,267,289,213,177,593,839,959,924,600,009,896,894,404,
344,936,796,290,491,788,909,168,224,021,936,511,045,180,024,489,690,673,621,
933,775,441,022,216,587,328,966,444,439,914,204,182,473,582,858,442,564,549,
304,017,974,310,091,721,907,727,857,038,987,477,970,017,870,868,096,971,613,
645,998,942,953,366,301,377,199,471,562,576,804,515,055,017,167,278,457,792,
424,483,669,422,524,871,941,283,441,376,047,525,654,565,002,689,421,897,295,
493,808,140,606,250,345,159,209,717,558,842,239,742,278,776,359,144,946,757,
718,934,649,785,610,674,736,961,143,220,800,077,663,004,753,327,038,981,084,
691,209,381,345,009,416,200,195,240,514,982,466,274,691,705,912,821,137,244,
979,341,743,259,531,319,935,387,193,612,438,578,207,624,260,019,068,218,503,
050,055,618,155,273,529,479,389,038,456,821,592,140,541,910,244,506,167,499,
326,634,530,551,977,899,291,416,593,375,014,189,186,031,063,520,592,422,722,
780,306,879,172,752,151,309,673,653,430,829,316,448,023,406,413,764,966,215,
531,614,399,078,990,722,398,728,609,730,576,487,578,859,533,465,320,546,282,
185,767,185,367,103,502,930,870,949,590,014,955,384,582,421,765,881,457,102,
890,989,130,026,178,315,237,787,515,357,987,126,229,946,808,319,493,938,082,
664,163,572,633,975,417,831,363,319,808,954,508,779,183,239,414,254,724,209,
548,802,388,666,198,100,551,388,605,931,314,279,230,810,429,625,610,186,285,
609,554,539,427,800,411,013,166,304,687,943,853,227,683,472,273,509,134,610,
392,996,616,751,228,016,269,554,277,795,234,940,212,300,770,839,497,781,369,
819,259,762,613,231,593,237,815,348,901,311,690,856,996,523,690,235,110,555,
357,922,303,174,877,606,382,695,137,869,821,530,912,571,819,258,928,649,468,
272,205,384,077,124,877,592,639,072,572,493,383,024,676,360,449,182,361,391,
607,427,359,076,838,082,173,759,678,036,668,631,850,036,273,251,067,846,372,
331,050,482,882,283,466,356,885,388,022,494,075,830,684,788,152,137,442,443,
724,749,841,207,557,987,132,661,396,936,833,414,651,472,702,735,895,520,713,
104,137,248,514,517,434,782,539,338,934,465,547,642,736,027,567,859,115,591,
630,280,623,478,260,004,869,106,658,364,457,469,960,079,355,117,069,823,443,
643,575,573,739,903,057,832,262,304,522,052,800,730,193,070,701,438,468,318,
256,623,182,579,503,738,904,231,439,865,994,511,173,847,064,078,339,427,358,
146,272,536,260,164,824,583,866,654,046,591,407,700,496,087,511,112,424,985,
697,636,864,836,768,075,349,941,935,946,372,663,329,630,796,096,167,082,456,
762,196,045,184,464,792,188,604,222,761,391,767,394,322,105,591,727,882,945,
824,558,572,761,702,651,384,043,099,800,725,945,782,723,961,341,589,553,654,
381,357,262,653,164,727,611,390,933,282,871,598,584,383,958,771,222,797,712,
971,961,448,454,506,642,534,143,119,734,792,432,815,329,195,282,797,680,265,
044,097,843,906,341,281,579,775,475,669,920,163,623,020,413,791,520,373,928,
464,494,497,566,036,744,179,066,667,434,945,810,661,303,398,733,846,139,169,
630,983,872,430,531,116,724,978,873,267,775,508,019,951,718,563,796,457,836,
361,233,116,165,163,096,295,775,634,698,760,377,457,988,629,227,862,854,321,
310,631,216,897,028,364,489,407,110,432,410,614,565,190,459,492,973,059,189,
908,512,167,405,271,525,384,663,628,357,521,436,689,754,645,427,026,277,790,
124,428,881,598,112,609,893,251,568,343,904,454,407,644,153,527,936,852,261,
929,731,295,887,348,302,209,529,456,313,801,634,264,338,283,070,447,915,699,
903,089,059,041,713,234,421,789,197,167,126,215,605,585,085,036,235,550,186,
874,256,735,664,599,915,708,250,726,457,349,666,077,689,144,981,667,358,489,
059,021,787,326,050,319,244,161,919,830,540,526,733,480,274,677,789,282,468,
377,165,968,511,746,711,655,301,402,288,506,238,308,123,599,016,712,226,460,
909,535,949,542,547,670,547,440,545,461,388,521,468,247,101,718,722,348,052,
216,746,633,696,575,287,756,825,219,500,626,990,745,385,756,085,500,563,095,
451,208,494,235,344,801,162,159,743,786,246,187,305,824,866,770,344,274,706,
080,263,824,632,267,395,928,678,969,035,294,081,814,812,284,773,023,926,476,
813,873,764,890,782,774,883,314,811,477,115,709,106,394,799,914,890,756,226,
339,497,858,547,102,047,281,836,077,885,186,782,963,146,860,786,416,864,899,
999,292,456,832,970,754,525,300,877,193,581,571,890,265,860,330,818,551,265,
058,429,330,572,962,010,904,929,022,946,336,346,330,436,201,637,393,061,004,
778,674,041,390,298,014,346,369,592,134,763,590,122,364,915,334,565,539,748,
752,471,178,417,031,333,108,117,614,846,472,882,329,057,807,536,452,297,929,
698,831,201,889,196,344,484,397,536,923,200,141,664,609,557,312,853,538,667,
282,164,126,132,806,917,025,794,395,709,144,625,078,444,140,852,472,250,723,
009,398,278,944,635,012,006,074,022,457,000,176,313,423,953,876,383,883,812,
239,570,706,935,209,594,001,617,262,826,585,671,021,086,852,580,005,221,766,
900,508,805,990,963,634,487,268,095,186,101,446,367,221,880,686,242,926,441,
073,806,792,533,782,352,094,785,327,594,428,360,372,259,137,920,331,323,460,
616,442,340,244,681,310,920,146,519,154,573,776,210,076,294,682,685,569,737,
019,602,679,154,900,494,482,204,203,782,078,141,247,003,885,775,471,931,908,
164,090,131,120,412,236,846,258,210,566,957,046,173,377,931,014,688,458,467,
991,470,325,554,741,908,985,866,419,126,892,601,595,286,563,592,929,642,089,
323,082,267,719,239,282,863,560,508,134,915,997,287,094,854,990,996,173,651,
098,138,043,951,368,328,455,307,891,864,653,422,218,254,641,591,901,324,552,
195,015,699,860,877,635,355,101,713,115,528,687,174,075,194,019,375,935,827,
502,980,940,882,165,360,606,986,912,260,079,626,042,302,228,581,781,131,843,
049,937,595,550,987,360,170,597,031,684,083,219,806,611,931,618,403,124,559,
644,777,460,668,280,150,008,411,976,984,488,295,656,845,424,874,777,363,826,
650,812,358,526,436,401,705,585,064,362,073,546,654,316,952,782,096,204,912,
416,651,969,839,116,197,643,992,740,753,078,842,096,092,566,138,028,139,606,
348,236,553,916,968,700,711,379,191,465,537,653,270,480,280,950,301,219,351,
468,683,718,224,348,286,779,529,048,537,364,203,254,617,477,609,819,548,673,
725,472,950,061,413,898,581,448,011,863,948,385,347,447,233,527,131,033,740,
288,706,597,741,880,003,990,527,083,306,938,944,131,509,379,984,077,383,335,
818,607,399,827,947,211,470,485,613,919,440,991,269,986,248,786,510,629,917,
616,572,082,488,047,604,308,979,913,526,901,291,636,106,175,046,445,434,260,
173,487,838,404,446,203,527,786,466,305,479,081,772,676,337,249,324,519,635,
850,725,334,615,518,175,541,859,014,956,671,704,229,358,829,804,356,694,316,
873,178,260,572,841,241,953,052,740,983,240,546,688,627,477,891,364,624,492,
645,714,058,917,961,149,070,030,025,173,081,807,786,235,346,749,335,368,301,
926,202,991,351,751,319,793,958,228,450,219,965,533,986,344,894,778,482,517,
633,991,392,340,658,922,475,243,931,264,317,116,007,039,926,405,730,172,912,
473,160,689,345,510,591,383,963,424,309,067,594,378,740,743,237,406,605,776,
287,974,305,318,899,261,967,506,398,281,608,623,416,960,324,026,782,500,987,
392,774,859,285,029,614,353,931,041,877,876,720,301,760,455,468,827,074,899,
599,183,137,423,004,646,803,687,656,091,204,730,645,530,339,800,895,848,831,
992,686,123,017,490,597,924,883,293,649,090,725,743,963,791,744,885,685,548,
814,143,542,550,994,719,062,298,387,793,388,389,767,800,257,036,094,594,842,
420,982,576,148,177,642,071,744,265,270,604,896,144,071,308,939,545,581,644,
706,970,327,379,715,799,347,487,723,004,538,200,500,670,894,095,793,395,608,
891,653,738,377,362,212,648,167,025,350,616,885,755,580,275,726,305,195,337,
597,582,804,448,540,409,134,503,289,925,529,421,086,393,459,150,561,299,814,
435,377,931,423,979,487,950,981,242,295,914,523,911,584,546,476,807,024,793,
874,453,995,432,678,594,629,720,692,528,830,464,967,364,225,746,252,041,178,
257,622,445,924,650,647,699,422,148,796,304,421,463,670,491,584,458,010,794,
806,388,625,521,268,278,741,540,997,326,554,249,221,897,213,310,194,633,058,
998,235,048,075,087,726,186,061,402,145,614,362,215,705,686,886,452,613,296,
250,565,003,714,604,198,382,252,378,335,735,099,404,167,643,286,805,601,753,
853,261,997,280,088,692,635,372,433,343,040,315,598,182,703,199,561,636,943,
007,945,701,078,445,465,887,386,743,269,853,080,051,207,860,896,803,030,127,
832,967,248,040,026,746,067,310,808,278,516,108,011,540,489,117,742,872,379,
592,576,707,385,439,514,900,086,552,941,973,875,034,585,908,507,202,448,280,
365,939,431,216,221,869,210,172,980,832,939,880,909,090,001,752,712,760,410,
968,669,050,988,451,256,880,735,562,160,048,307,607,431,387,555,749,869,760,
181,621,907,046,320,116,909,668,370,210,744,109,486,553,457,111,153,028,854,
836,061,025,095,006,086,480,493,632,381,899,891,946,966,640,051,767,534,046,
515,333,244,707,878,702,884,373,212,178,590,843,118,347,148,428,852,099,954,
621,879,862,567,573,084,891,897,018,664,785,311,310,892,246,775,444,138,880,
961,311,217,643,924,175,312,384,490,507,361,569,449,660,211,431,159,108,552,
577,316,722,413,358,302,913,180,546,905,703,976,241,616,799,093,536,101,466,
839,985,414,515,118,637,859,878,278,907,088,678,516,364,372,587,262,984,286,
501,948,724,776,698,543,701,492,282,244,510,385,057,338,163,824,070,382,083,
653,387,984,535,671,619,255,567,599,872,391,945,688,275,698,912,311,414,100,
655,942,750,823,808,880,928,006,555,650,653,689,582,525,769,799,129,530,617,
057,571,311,180,466,684,314,463,056,430,495,539,344,809,084,206,334,385,009,
284,832,133,157,789,336,744,385,175,030,936,846,731,295,046,990,159,547,624,
335,134,584,146,145,335,760,380,796,295,726,462,633,517,783,691,644,826,179,
871,166,351,842,705,439,655,372,918,934,011,352,551,491,076,531,758,126,480,
369,208,932,430,801,668,840,510,280,773,269,285,989,307,305,354,723,535,849,
589,284,152,206,216,304,523,592,616,545,399,149,649,417,289,063,815,789,491,
606,610,827,777,027,219,703,186,074,787,180,277,215,423,539,555,124,667,886,
229,488,334,665,230,426,460,873,881,874,199,138,241,727,241,280,439,610,855,
859,604,161,416,067,782,576,903,870,695,915,901,486,817,510,623,756,639,895,
865,657,693,044,618,118,496,102,062,710,744,091,705,722,750,392,103,485,227,
356,872,578,189,453,022,823,503,412,320,325,705,527,031,761,968,582,815,643,
234,040,935,665,809,979,426,190,353,747,661,687,789,044,522,302,488,112,013,
353,814,447,074,316,770,960,749,743,164,654,763,956,094,819,207,526,107,639,
373,788,688,111,697,942,370,102,904,403,749,574,495,562,565,307,147,290,560,
784,419,750,430,631,214,842,620,092,200,470,362,843,433,006,173,309,629,683,
732,094,073,075,240,865,378,818,968,367,988,638,174,065,365,438,792,047,435,
969,184,385,574,350,161,766,215,714,114,029,211,805,187,741,735,781,887,931,
230,525,621,377,315,468,314,701,983,643,765,696,083,310,198,563,570,192,920,
276,369,698,906,625,513,728,123,427,295,364,094,765,437,785,937,792,177,251,
628,891,998,946,715,664,837,991,422,658,575,463,278,914,497,369,730,204,843,
009,845,391,092,645,139,333,102,050,423,727,583,979,761,565,251,537,380,626,
320,166,685,496,266,373,629,186,081,469,644,888,345,892,858,683,998,749,130,
806,181,987,350,963,855,146,548,246,486,790,153,968,397,225,731,828,195,790,
078,540,101,350,012,010,344,212,795,946,443,683,204,374,398,174,013,838,827,
766,595,485,326,112,353,876,987,871,403,190,219,502,850,129,733,655,382,195,
524,605,955,809,232,227,332,094,278,112,154,412,425,659,196,672,698,471,116,
459,194,569,276,246,806,445,944,648,437,271,190,823,560,644,627,851,344,689,
832,629,542,115,924,322,719,487,758,722,192,564,079,419,423,606,698,341,839,
186,797,593,092,109,837,123,946,589,107,318,157,349,060,087,556,688,015,746,
332,754,339,189,895,399,358,193,369,766,556,016,724,800,335,541,722,075,698,
641,913,040,325,223,747,344,670,511,221,738,703,298,264,616,953,350,788,647,
543,588,530,714,588,098,373,851,276,901,815,521,775,732,730,865,498,327,858,
171,518,604,552,305,159,781,655,647,701,648,848,282,437,599,271,626,837,066,
210,307,602,409,571,462,136,387,852,607,749,986,453,638,328,736,298,090,181,
101,687,477,801,257,186,129,090,787,675,677,716,712,490,384,498,619,740,814,
403,109,222,433,007,398,120,980,253,924,191,829,389,630,048,200,693,279,888,
943,383,958,515,930,615,753,093,026,164,239,535,565,140,535,977,461,112,665,
001,889,510,979,140,088,628,653,479,005,205,909,517,089,358,807,917,291,190,
752,730,091,849,117,679,166,111,709,383,677,755,964,054,162,347,692,768,277,
954,090,262,521,557,704,621,668,517,294,522,685,450,179,016,607,907,952,834,
344,377,736,209,813,862,653,669,273,877,373,332,181,446,657,611,078,629,967,
110,847,284,491,653,957,010,447,097,677,982,514,554,497,026,695,031,873,807,
072,689,732,501,487,760,972,458,914,665,595,150,741,199,226,183,203,865,902,
574,189,189,431,264,752,348,301,325,905,603,705,249,854,848,198,996,024,380,
257,552,911,111,113,124,041,764,179,365,556,498,208,408,952,444,609,989,568,
409,353,375,817,775,347,922,615,263,002,857,557,205,789,854,900,191,800,367,
762,441,304,449,442,155,851,031,931,269,817,851,761,764,426,247,772,543,767,
951,350,949,242,847,372,991,842,514,634,284,223,247,273,436,478,138,527,749,
958,971,678,593,992,242,265,774,219,349,631,920,863,453,778,224,616,979,387,
786,608,260,526,627,776,213,195,554,705,890,694,697,472,283,724,899,290,192,
549,085,982,240,994,177,129,822,379,207,709,484,495,653,366,718,828,301,927,
891,533,358,090,331,723,528,822,387,943,521,205,943,955,682,675,529,769,363,
663,483,391,505,322,950,219,466,161,689,636,142,901,864,639,178,325,906,356,
057,761,800,468,254,833,927,194,848,051,489,755,556,595,576,428,213,774,236,
207,454,537,573,811,886,033,897,703,725,653,214,110,962,516,820,742,282,765,
023,951,349,611,332,887,978,169,084,970,678,388,429,241,931,563,145,311,733,
885,201,233,290,430,017,653,065,219,766,582,046,889,863,904,848,958,624,088,
301,637,638,695,318,096,438,896,004,901,458,118,288,160,905,920,570,294,044,
308,533,429,531,045,176,051,587,179,287,614,256,782,862,874,290,036,114,693,
470,944,457,401,132,556,960,494,083,384,968,500,776,864,050,945,985,765,685,
932,962,436,185,345,778,740,551,648,352,074,999,396,711,689,069,439,700,075,
110,808,527,319,154,975,580,805,593,393,876,637,703,682,928,141,947,847,869,
679,549,377,912,051,648,097,275,649,509,038,949,541,011,784,357,022,691,384,
446,714,316,373,753,347,840,342,777,641,030,545,499,511,406,428,524,654,140,
462,070,019,600,188,630,850,713,865,100,555,268,427,554,497,815,255,239,628,
644,865,269,334,268,170,079,537,045,797,395,487,236,166,352,791,351,028,753,
632,150,949,230,743,938,062,381,293,051,854,744,505,543,416,680,594,837,654,
156,226,609,576,385,028,775,583,970,858,995,195,659,272,144,015,833,184,439,
306,244,769,297,586,991,521,874,606,114,102,501,908,366,530,300,958,948,724,
008,089,724,316,574,430,949,361,161,680,273,935,100,092,782,535,782,829,265,
476,394,311,727,262,912,378,226,969,938,691,480,633,807,250,365,864,213,254,
960,461,452,539,340,133,390,643,391,434,251,236,287,178,698,200,649,526,780,
596,965,085,543,847,264,300,679,816,303,275,498,077,835,015,248,764,755,284,
893,863,979,239,352,865,506,091,642,831,015,785,864,297,770,999,068,017,818,
593,351,421,850,960,209,594,548,809,176,380,835,681,323,090,733,705,621,107,
324,413,064,860,012,627,781,147,029,341,228,929,786,256,177,779,038,218,495,
937,161,096,785,145,677,397,543,455,881,801,713,860,002,256,131,588,895,424,
372,833,280,642,768,799,618,401,927,680,789,325,679,730,598,281,863,049,983,
307,116,113,791,128,014,498,601,897,673,955,355,020,898,010,786,957,532,977,
904,398,436,266,147,531,106,798,889,055,540,217,712,213,080,641,497,210,400,
707,908,315,309,545,230,033,182,878,325,116,421,356,668,929,976,825,102,058,
459,987,395,750,512,310,298,659,036,999,668,373,796,098,444,623,859,678,390,
374,493,734,968,047,618,702,718,129,408,072,143,017,285,206,749,188,171,725,
626,723,953,128,842,023,580,943,132,085,636,804,250,762,995,644,108,779,450,
048,585,825,791,305,091,221,043,397,807,131,425,382,200,948,303,262,609,203,
705,019,532,551,184,035,137,994,122,017,291,500,680,548,470,676,175,414,421,
764,447,332,934,162,768,723,634,040,148,008,357,187,755,621,091,808,074,196,
416,584,637,839,578,997,614,718,348,055,504,720,934,981,180,405,746,398,935,
197,289,947,895,516,860,015,520,081,041,951,134,136,029,041,731,187,565,901,
608,745,789,300,959,527,886,504,380,530,784,210,505,998,091,787,978,856,614,
847,030,140,736,211,708,471,006,297,483,560,449,399,082,967,535,685,991,807,
672,329,533,684,003,597,955,654,564,382,241,467,772,444,942,239,337,964,866,
766,593,333,107,411,305,780,140,839,268,757,528,286,419,832,820,734,469,884,
570,449,857,174,800,610,943,121,271,705,910,777,767,353,496,264,909,748,625,
781,162,833,254,703,867,883,962,621,178,628,730,284,470,889,891,089,700,453,
956,590,853,548,383,428,799,340,312,714,369,479,532,205,780,758,305,424,862,
684,752,163,354,436,791,655,043,598,149,447,451,475,287,897,666,721,149,936,
747,634,311,854,357,758,241,015,447,696,015,921,537,105,831,743,053,793,721,
889,285,982,501,283,740,573,357,540,826,267,309,772,981,757,338,273,758,272,
136,851,683,199,946,487,847,135,009,278,557,283,322,971,445,931,131,178,359,
401,563,444,120,144,502,207,360,649,568,839,898,963,495,562,259,156,543,232,
536,447,423,765,489,242,770,306,881,742,499,234,467,881,380,887,018,894,587,
314,232,885,332,114,856,174,771,398,090,333,131,344,443,438,595,019,940,602,
861,909,455,581,457,969,347,884,429,327,832,318,044,736,932,228,520,602,704,
947,195,298,226,123,603,804,177,247,015,240,245,633,951,410,922,927,744,407,
482,904,601,064,826,217,181,961,268,865,939,808,079,046,796,719,650,909,364,
730,248,780,226,441,339,017,557,562,577,821,665,787,253,880,025,779,537,426,
478,909,312,334,672,336,641,748,090,904,070,735,789,263,383,572,537,530,904,
557,797,935,362,808,989,224,900,588,103,839,868,157,856,280,289,752,594,337,
703,154,487,529,856,449,313,846,453,323,789,442,773,549,302,492,780,725,525,
312,223,431,065,531,465,182,146,692,469,395,966,736,923,786,887,525,945,368,
322,919,975,332,907,470,424,188,425,765,058,479,353,071,515,848,692,345,818,
598,228,727,587,213,291,821,227,324,953,374,551,413,553,040,565,245,806,046,
227,150,758,988,432,976,869,555,780,016,120,940,607,246,903,446,809,782,014,
786,105,444,391,873,932,648,286,148,345,197,639,239,747,084,787,160,029,134,
900,542,995,289,942,962,551,922,271,745,006,248,940,144,449,273,960,596,105,
509,350,989,982,010,593,967,603,543,001,031,814,712,274,070,713,030,347,434,
263,706,067,250,684,243,897,677,435,534,666,412,604,909,847,758,851,568,786,
622,420,209,865,201,619,242,345,706,373,876,549,812,790,625,554,658,031,699,
941,069,961,909,835,176,353,059,073,803,826,464,342,073,126,194,203,045,644,
172,798,457,782,023,774,791,320,056,255,066,783,716,801,238,771,684,992,998,
502,589,186,863,743,667,189,019,990,412,337,438,313,471,144,961,374,462,080,
170,503,571,976,768,617,548,486,031,825,671,160,231,342,350,812,857,114,817,
441,930,219,999,933,266,929,442,198,175,074,152,231,788,958,675,883,544,666,
430,958,682,238,527,530,990,398,912,090,267,535,447,003,201,467,773,673,607,
173,477,821,211,584,686,000,750,162,172,747,913,154,856,036,252,312,572,454,
348,251,564,058,497,867,054,542,501,960,235,343,351,531,337,654,707,949,779,
586,469,501,649,825,194,989,540,068,231,903,052,140,193,503,712,553,078,402,
907,821,186,216,470,450,231,859,188,449,739,028,970,871,292,366,924,869,878,
448,602,467,570,713,500,189,886,053,094,727,571,067,625,348,097,745,325,480,
118,577,948,466,467,614,999,570,520,822,581,466,847,831,178,692,462,817,231,
036,653,536,063,555,056,378,949,556,768,207,542,419,220,758,837,676,780,142,
461,937,799,726,581,440,744,259,288,141,015,335,699,179,577,511,329,559,307,
359,901,448,937,703,008,895,047,877,526,956,289,644,234,195,209,524,594,633,
987,866,595,345,960,963,700,785,808,390,465,211,318,959,697,958,575,371,323,
448,454,023,379,414,800,427,598,473,657,143,618,638,096,771,334,989,334,891,
266,603,424,914,151,630,468,854,923,051,556,303,019,377,973,500,307,102,150,
632,655,535,932,164,745,030,049,531,773,201,736,303,408,587,951,824,329,611,
615,839,348,234,471,141,916,809,513,615,603,480,482,816,623,352,754,204,979,
869,691,201,395,226,575,141,903,987,448,612,933,788,352,859,437,244,047,559,
928,588,007,811,294,812,641,101,040,060,336,374,644,586,828,444,516,712,242,
466,668,655,243,283,250,873,521,595,792,075,850,983,743,795,109,551,871,086,
980,872,964,623,962,791,452,824,486,391,627,075,465,306,858,775,448,952,071,
614,934,376,661,440,223,183,656,717,106,784,067,043,608,191,983,106,995,896,
691,746,493,247,614,139,277,930,627,618,398,566,772,573,728,194,317,923,363,
144,832,250,508,314,615,193,645,004,697,006,395,286,517,181,430,678,493,208,
200,498,946,691,041,558,357,058,466,018,418,534,985,130,934,295,842,512,992,
453,954,379,409,555,195,377,050,397,190,679,576,499,945,283,970,157,468,903,
890,859,626,506,944,705,048,728,646,986,119,257,586,900,042,862,787,568,365,
016,978,669,962,514,436,857,460,353,788,559,767,409,726,151,411,075,548,541,
680,740,825,315,587,985,002,865,522,852,910,244,592,167,677,712,489,835,496,
135,699,232,509,096,701,823,136,594,724,925,774,473,985,776,015,736,280,747,
669,786,069,316,267,807,022,054,921,033,482,281,266,282,949,282,216,349,928,
585,733,857,252,920,702,655,998,537,443,809,418,340,625,080,157,795,705,945,
591,781,141,641,650,846,190,649,879,133,966,331,843,775,111,192,148,585,274,
883,605,523,878,709,437,246,120,873,629,955,875,963,862,222,556,243,941,128,
876,812,185,686,541,584,093,765,508,236,055,655,621,044,711,334,554,604,671,
783,768,441,790,569,196,761,629,079,452,836,687,342,480,374,986,336,894,343,
080,749,793,492,864,467,768,422,536,303,141,859,618,903,615,327,826,983,286,
608,610,620,754,502,915,179,146,587,440,627,540,090,840,494,784,432,801,105,
763,369,902,024,820,738,153,881,146,728,321,180,956,912,514,431,295,111,931,
340,468,389,244,739,761,269,614,477,002,962,120,225,016,119,204,786,846,519,
944,085,870,277,436,240,148,625,764,104,775,025,760,611,681,769,192,720,713,
638,196,254,364,313,938,029,054,854,632,367,785,318,985,131,405,011,300,289,
265,783,044,145,757,354,352,725,729,729,229,571,983,131,613,986,594,383,025,
608,871,646,471,099,943,812,279,798,288,565,764,895,670,094,741,648,549,849,
209,487,388,910,846,800,533,306,992,137,198,241,701,693,928,272,360,616,107,
384,392,769,353,505,276,219,865,448,415,417,640,528,623,863,274,599,918,576,
336,400,031,161,360,796,617,060,869,810,959,567,507,357,724,237,711,327,050,
777,654,531,944,944,390,816,272,313,531,193,709,407,591,406,986,526,690,454,
666,619,020,163,511,669,561,180,789,044,731,903,566,097,499,339,974,052,974,
389,948,662,658,406,084,597,580,405,133,916,213,179,467,161,184,389,688,004,
243,709,775,619,401,891,507,476,400,930,039,054,258,771,935,103,569,002,902,
346,275,874,869,527,143,504,992,465,390,225,786,066,440,192,959,362,469,530,
141,728,188,657,002,812,955,315,787,049,572,682,108,190,278,866,668,639,943,
378,172,010,670,993,835,332,883,023,875,634,706,974,998,727,894,237,263,487,
768,853,496,792,675,065,162,535,124,695,654,510,422,574,307,012,265,790,673,
110,351,140,210,334,115,173,291,971,874,720,698,922,471,504,192,284,172,211,
832,015,456,579,054,787,862,819,977,113,231,345,808,624,865,498,074,052,094,
624,419,617,067,477,917,648,951,668,943,349,018,436,685,847,371,749,585,932,
108,933,478,904,939,020,372,897,772,237,498,602,236,355,401,206,067,765,719,
452,972,343,601,278,317,976,848,435,690,461,503,138,603,680,463,914,043,457,
382,593,885,821,128,960,524,099,061,972,343,692,111,019,300,987,260,228,233,
494,380,947,679,982,461,658,428,673,146,038,693,158,501,657,553,373,711,529,
273,619,104,965,435,131,537,464,877,532,636,813,165,690,645,536,720,608,842,
656,921,886,301,740,461,910,505,597,645,669,161,491,748,613,060,055,373,635,
961,124,502,703,266,553,965,852,522,498,682,992,425,521,972,569,342,218,165,
044,970,939,026,432,202,000,591,876,603,740,507,706,162,691,898,750,173,664,
828,791,048,356,298,245,967,293,670,712,842,747,634,002,256,191,282,818,057,
221,269,462,987,914,788,855,386,315,978,183,350,400,129,490,226,243,602,017,
746,165,911,962,817,813,837,078,436,256,339,817,995,110,798,988,837,741,054,
370,036,089,695,206,324,571,483,958,149,550,913,557,194,978,675,261,120,787,
292,143,754,085,518,884,184,178,569,666,179,777,313,741,211,702,790,760,139,
948,777,376,618,998,782,343,219,451,066,285,551,541,808,286,176,157,494,306,
168,342,760,251,982,559,099,976,465,684,554,766,621,315,281,488,266,696,474,
603,744,407,351,670,161,406,016,114,156,437,086,566,186,317,770,245,292,675,
546,026,992,512,886,651,674,847,207,715,690,402,680,781,758,256,903,796,461,
889,342,259,697,239,304,088,655,158,010,864,451,447,509,063,608,782,508,591,
278,457,983,097,604,229,085,621,972,789,893,711,610,235,107,862,343,713,130,
359,788,910,677,940,350,554,113,716,845,695,913,598,899,545,979,241,289,233,
992,601,101,098,569,542,178,163,579,322,092,881,576,437,395,244,427,382,998,
298,868,627,141,611,299,428,777,219,503,841,235,638,444,241,652,329,081,720,
065,381,770,937,418,035,920,560,620,595,015,031,857,134,246,694,328,003,177,
503,281,594,739,949,289,276,253,309,286,646,551,732,711,657,363,224,015,911,
967,363,169,233,909,184,157,963,116,608,214,304,726,126,757,082,738,985,127,
693,735,989,789,895,057,517,500,095,488,473,132,732,620,801,153,591,637,739,
749,124,507,534,990,535,235,617,400,001,116,640,105,437,686,144,967,029,653,
788,899,711,604,911,058,547,378,250,436,573,938,705,665,013,616,033,734,704,
496,701,027,697,829,637,382,153,398,933,906,851,783,199,931,332,622,825,488,
206,563,822,674,567,259,099,489,848,980,063,743,774,435,346,042,183,236,692,
343,140,244,674,120,791,535,368,535,209,192,586,618,825,000,719,186,714,132,
012,726,859,073,120,006,175,822,421,706,587,051,959,175,543,718,475,900,587,
767,123,061,428,688,269,786,555,942,287,806,262,697,488,028,057,624,459,145,
801,734,943,704,529,643,627,987,734,935,758,219,273,988,823,738,921,830,085,
226,892,297,726,459,764,190,412,553,687,681,574,624,692,117,548,411,307,837,
885,407,429,484,618,948,095,311,779,521,868,035,426,859,340,060,291,499,418,
631,497,090,557,534,941,772,280,970,027,777,970,981,135,862,964,490,772,470,
654,819,978,548,852,569,280,093,767,971,793,610,232,368,303,850,078,863,681,
508,015,986,902,756,814,144,563,439,132,549,912,929,716,355,325,264,472,930,
598,188,617,316,574,051,060,076,997,218,171,181,377,376,284,790,323,139,998,
356,264,558,111,716,754,688,876,792,515,460,304,582,117,869,124,360,928,125,
789,965,468,629,219,505,745,839,134,161,458,362,704,450,490,413,949,425,933,
246,959,505,782,527,611,621,221,447,674,129,630,201,530,853,295,293,472,844,
813,430,269,323,840,893,731,379,679,835,408,450,953,148,620,888,933,861,390,
476,933,888,922,566,395,119,256,517,884,657,928,414,607,500,294,847,048,157,
034,670,878,387,958,355,985,093,688,679,040,977,282,436,456,489,396,542,527,
509,475,524,277,814,038,275,547,507,726,414,173,009,132,865,227,979,970,437,
019,019,991,773,975,274,580,759,188,041,113,284,049,010,331,155,334,652,763,
141,235,359,543,690,369,173,137,267,379,646,982,810,510,534,398,943,458,500,
815,730,141,764,850,646,484,494,199,063,180,121,617,938,473,397,378,740,681,
665,411,634,848,839,220,667,833,044,328,791,118,915,984,385,937,730,517,757,
516,838,058,397,894,353,276,079,257,673,987,407,988,512,132,851,125,499,926,
641,582,756,072,234,829,604,859,670,564,509,689,881,201,915,274,281,717,310,
670,300,806,599,285,585,324,173,558,419,752,768,323,801,164,432,075,533,599,
553,366,045,423,191,433,598,994,312,924,858,740,610,065,863,498,655,320,772,
780,304,493,291,842,716,126,964,752,933,047,317,582,163,376,992,455,335,137,
732,315,199,677,169,330,845,520,472,436,844,034,531,705,968,210,212,402,978,
021,760,440,284,857,492,232,963,397,427,820,129,969,240,823,521,586,904,414,
505,681,629,323,955,594,570,722,516,143,959,691,629,188,145,134,196,938,013,
997,158,050,079,233,153,525,190,369,645,384,593,797,009,014,670,653,205,971,
838,078,997,277,862,376,599,547,417,742,322,125,202,856,559,474,437,861,043,
009,561,676,996,897,951,846,933,733,461,152,289,051,838,375,342,095,356,747,
228,935,589,545,480,349,229,200,371,401,842,836,801,151,681,646,541,436,945,
169,276,418,350,385,708,385,372,460,572,859,145,100,568,891,272,402,132,734,
327,926,826,203,874,107,469,202,164,030,253,604,393,927,573,592,192,206,792,
996,448,738,882,189,445,189,765,557,727,131,460,290,406,996,230,870,458,945,
330,661,949,154,539,577,034,868,816,433,800,177,572,539,163,745,745,510,642,
689,961,364,859,132,419,522,043,290,050,666,259,218,207,280,063,014,895,091,
466,583,342,861,280,989,794,501,782,482,453,115,826,769,123,145,406,484,586,
102,113,747,120,811,040,661,252,186,456,097,836,753,431,823,544,216,656,662,
181,583,792,450,820,213,958,363,701,597,151,295,011,045,919,584,270,294,247,
754,027,390,924,829,586,585,390,841,848,760,239,762,144,849,912,516,971,708,
254,800,741,644,829,897,926,215,211,481,805,688,782,930,438,177,131,681,440,
874,749,248,602,192,714,899,752,856,441,289,161,230,627,475,935,994,944,642,
818,821,446,689,446,099,825,528,454,498,698,865,466,883,888,821,477,293,147,
451,996,471,306,249,176,937,895,121,666,640,221,488,653,499,507,312,896,860,
221,915,726,232,743,649,275,610,240,781,646,334,234,795,274,304,955,838,621,
694,527,598,059,646,340,139,146,142,324,403,737,746,030,861,676,310,915,957,
674,070,889,685,220,003,061,985,625,018,665,784,945,224,564,601,938,428,357,
976,231,398,376,225,071,016,648,451,202,898,269,467,009,490,438,293,991,079,
305,668,109,611,876,055,632,152,883,107,374,815,378,930,104,969,228,196,234,
217,487,242,263,385,025,450,255,581,466,207,714,755,769,802,842,611,072,397,
354,645,787,582,754,610,705,011,844,300,462,380,181,640,407,533,561,532,112,
035,208,291,452,651,272,652,754,788,523,026,314,973,446,334,864,980,591,753,
391,801,833,269,211,655,650,274,551,601,932,881,137,404,158,391,457,769,680,
166,856,798,572,181,034,830,577,227,730,857,175,480,891,567,160,204,583,000,
202,546,434,659,879,892,678,304,850,639,463,995,697,086,961,498,675,474,225,
889,303,327,686,405,624,824,843,401,614,239,253,153,531,003,404,872,212,984,
449,569,995,654,825,794,124,198,189,517,628,545,621,166,268,703,182,140,913,
207,558,102,586,962,044,272,891,100,225,484,160,767,226,452,150,906,280,586,
410,489,907,593,150,695,746,678,868,600,372,905,042,622,600,436,693,635,668,
599,845,932,695,175,131,073,861,267,901,246,927,726,582,789,580,122,123,316,
691,494,550,902,852,013,618,323,058,339,539,679,803,560,875,067,818,614,046,
704,460,927,591,629,966,649,112,308,869,816,006,973,764,343,353,601,736,455,
383,448,819,392,705,681,227,469,702,704,475,759,455,053,665,695,163,355,469,
899,785,802,809,611,810,521,672,727,081,962,032,167,246,712,140,773,807,545,
971,219,958,772,804,407,691,253,724,556,519,936,896,281,419,406,998,874,807,
854,856,703,817,430,224,557,282,303,307,982,542,104,331,832,452,399,515,475,
082,213,834,552,691,219,069,309,917,410,944,210,098,674,242,198,059,607,357,
906,450,145,818,765,676,446,979,701,326,650,624,351,745,651,589,526,598,986,
907,770,131,459,519,642,276,898,580,547,813,959,743,465,116,647,983,712,706,
523,382,422,102,477,175,697,280,170,703,367,375,758,854,425,791,776,274,770,
112,088,650,297,319,418,656,393,400,768,915,534,463,395,675,693,889,795,033,
030,312,296,586,514,778,406,079,016,177,981,940,131,194,314,792,981,469,998,
576,099,296,548,692,520,423,898,363,598,272,419,849,563,267,746,044,120,255,
127,972,689,371,182,208,631,596,426,033,146,848,387,865,215,383,487,864,363,
163,220,580,896,399,974,019,468,783,185,482,902,709,304,778,460,621,522,768,
722,771,696,682,143,057,899,104,866,145,954,548,236,707,934,597,397,247,703,
081,196,079,731,011,849,023,648,907,793,523,543,722,043,358,670,747,556,241,
818,156,317,006,011,056,827,005,991,735,986,147,537,400,550,050,003,161,458,
699,913,332,429,661,618,614,370,879,935,361,522,031,260,051,945,658,762,731,
612,993,147,547,681,991,915,388,695,209,195,403,266,928,242,761,329,848,779,
162,387,417,897,512,458,023,500,478,283,794,928,627,125,358,073,727,595,084,
146,899,612,607,673,229,433,336,859,809,546,189,746,032,230,960,806,852,360,
720,190,389,311,597,507,787,415,934,119,085,955,809,926,759,962,110,303,574,
659,714,248,280,665,855,867,393,609,633,371,044,692,266,560,888,809,562,216,
112,261,417,676,203,034,986,135,100,491,485,224,487,523,511,951,266,684,499,
573,140,078,513,400,127,366,936,754,359,549,621,235,045,933,947,892,639,436,
452,724,055,990,867,996,309,413,656,944,096,391,153,128,982,757,517,049,327,
677,232,004,053,836,603,087,255,261,730,705,695,098,494,423,788,406,329,451,
643,182,926,006,533,425,282,096,795,612,035,461,636,328,417,195,291,804,146,
387,970,519,345,226,314,064,113,011,675,536,306,933,571,789,984,062,252,724,
578,256,286,910,388,433,841,719,190,447,886,431,022,366,105,954,015,462,032,
597,180,997,397,823,795,124,544,028,007,084,311,016,267,707,219,688,267,678,
561,728,120,751,750,006,264,601,748,608,700,231,923,878,999,029,656,255,709,
102,442,167,605,244,155,810,299,245,944,873,138,527,145,718,833,935,029,606,
138,884,822,322,589,840,173,724,304,602,544,368,457,439,975,483,270,876,189,
573,514,356,213,731,587,956,756,961,754,808,408,567,960,629,065,341,843,736,
375,962,120,563,369,297,876,669,695,039,037,967,476,986,599,369,293,790,623,
369,146,605,759,759,176,355,319,443,174,648,261,434,283,772,650,331,267,956,
262,564,788,448,650,549,923,971,070,964,701,954,142,185,385,200,141,382,598,
120,119,998,852,759,254,207,213,964,004,912,272,717,235,096,980,459,711,874,
874,927,743,961,164,112,602,604,369,904,308,167,795,917,081,433,665,956,064,
367,544,198,541,071,994,847,064,062,862,333,736,148,654,818,759,398,439,953,
485,481,885,026,547,994,307,934,361,054,736,393,777,727,605,863,319,695,592,
809,453,983,597,852,195,621,470,320,926,721,894,225,040,287,108,907,645,640,
502,933,691,655,977,592,794,053,516,849,043,746,248,681,622,932,113,495,258,
778,333,512,513,671,405,153,112,107,818,022,413,916,133,367,658,505,444,301,
970,876,381,834,508,126,370,629,975,061,340,618,000,878,675,231,409,483,213,
947,567,476,076,207,867,916,403,871,512,936,378,040,417,642,316,267,658,384,
471,688,728,488,270,988,903,782,630,482,841,974,912,951,366,257,159,487,075,
918,049,053,100,828,503,476,177,546,027,662,765,944,137,848,580,252,370,407,
340,206,896,483,949,936,110,950,591,516,798,088,672,733,497,927,910,810,408,
445,566,403,098,753,681,132,883,451,662,831,323,682,639,076,397,290,193,579,
318,936,831,861,735,634,992,375,771,089,320,017,319,361,676,384,707,107,885,
734,591,219,603,511,923,813,910,596,318,638,426,119,766,681,091,438,659,567,
701,992,338,477,360,976,114,771,271,374,935,291,858,861,344,755,640,993,121,
378,029,096,839,987,222,026,374,171,021,320,881,366,766,693,948,081,733,509,
463,667,092,127,008,048,959,848,132,822,086,994,839,643,554,281,041,800,950,
064,765,101,304,233,432,629,065,436,262,566,140,599,069,062,920,160,774,213,
437,918,409,081,455,252,533,551,120,626,871,775,310,645,077,474,411,730,873,
685,836,637,377,273,906,541,644,919,382,397,012,604,892,406,833,912,734,531,
570,441,103,076,310,339,456,086,364,405,803,590,111,148,695,516,788,732,605,
312,453,791,864,368,444,409,970,484,424,957,253,882,048,850,051,217,912,956,
826,223,234,933,745,050,830,777,108,744,052,611,680,435,565,538,949,855,380,
493,771,518,965,513,919,400,251,920,973,346,752,583,227,604,127,246,184,583,
212,559,409,455,291,301,891,019,601,800,632,754,963,234,273,346,779,185,895,
790,562,429,061,261,768,748,455,793,011,266,379,343,699,986,864,419,227,782,
448,771,665,685,520,862,484,525,305,317,465,202,927,409,891,970,558,860,177,
254,908,002,283,581,710,809,355,766,340,138,656,167,512,556,903,824,386,988,
950,921,697,771,132,609,702,936,019,484,298,467,633,032,088,691,413,490,958,
044,574,166,886,443,089,716,508,486,700,158,088,467,889,142,491,048,365,516,
165,568,191,660,716,241,813,736,867,788,316,569,909,338,497,240,681,873,075,
769,086,293,720,537,590,146,814,539,279,955,020,490,349,816,669,225,854,774,
824,015,851,994,735,349,530,359,748,326,006,171,548,702,974,337,988,472,249,
263,886,561,354,572,600,497,648,519,912,668,511,003,086,466,628,493,245,755,
207,545,075,008,331,184,394,794,124,160,204,380,669,220,264,672,823,113,694,
424,145,577,971,082,384,253,100,165,702,111,040,997,991,020,494,860,772,773,
481,029,643,974,593,926,173,174,189,194,558,300,233,069,033,851,232,329,952,
443,727,474,593,550,358,847,480,173,172,436,825,195,948,754,679,288,100,472,
049,420,547,113,116,401,887,928,197,841,421,660,817,849,860,734,546,817,571,
109,392,118,649,474,857,032,908,561,620,115,378,777,048,735,483,493,778,596,
720,336,659,459,930,248,952,274,785,463,225,724,797,462,148,487,748,092,826,
241,448,119,809,606,096,764,725,558,855,661,478,307,655,175,067,345,461,391,
353,659,975,611,876,075,797,067,366,116,797,947,063,665,966,860,256,677,325,
106,147,739,630,840,663,568,208,839,331,621,196,986,551,007,337,286,813,940,
827,957,754,850,898,142,515,140,787,922,958,076,096,683,564,584,330,929,870,
665,845,353,938,763,200,636,967,573,788,711,645,041,549,272,656,513,759,497,
096,996,880,720,764,834,359,518,441,193,923,430,805,285,375,302,880,290,129,
313,197,761,094,715,476,634,826,320,572,235,409,430,905,761,677,521,103,532,
468,286,393,604,766,746,390,324,965,409,078,958,176,398,210,828,573,079,645,
819,695,768,303,332,474,485,668,778,952,877,414,556,039,516,091,752,168,254,
466,413,108,157,784,659,294,530,086,184,405,977,339,457,751,361,210,737,341,
811,440,566,102,098,452,128,443,707,871,982,992,451,994,657,759,220,267,819,
504,905,900,821,265,146,734,174,346,750,565,948,684,133,420,791,489,773,721,
464,962,440,219,268,270,961,745,326,510,563,121,040,977,649,850,831,372,828,
530,620,535,354,065,608,466,563,900,888,095,204,517,548,723,255,028,470,099,
615,486,368,678,469,501,797,202,823,806,224,483,988,523,341,965,834,106,036,
368,706,789,755,599,107,974,903,228,093,948,792,693,100,241,712,612,433,986,
370,356,851,046,118,847,405,296,878,697,223,497,545,044,657,703,236,733,382,
696,762,326,190,760,836,256,465,634,452,186,127,093,683,048,049,542,028,875,
973,700,267,995,123,552,144,452,316,562,922,460,256,379,877,510,047,469,079,
498,268,878,294,860,636,539,083,838,096,996,053,641,914,247,565,645,367,088,
001,500,178,155,484,352,067,560,363,133,714,060,864,554,235,965,712,802,690,
839,663,841,633,979,591,981,025,208,288,746,853,845,672,125,487,078,403,285,
320,210,296,715,243,002,622,397,875,907,372,279,023,136,698,729,044,127,734,
320,482,767,197,794,173,464,425,562,452,991,157,450,588,027,348,085,300,349,
023,151,377,981,062,505,085,088,280,372,696,967,028,425,814,668,513,104,214,
708,598,915,992,953,186,691,151,650,833,653,206,293,894,491,640,678,502,934,
403,997,812,201,964,265,149,728,494,358,566,546,798,007,978,853,448,430,671,
563,404,422,294,590,766,232,639,355,938,493,449,758,728,029,298,014,200,616,
736,387,734,842,233,964,136,936,328,245,284,308,873,570,810,746,961,428,981,
568,445,137,914,248,529,450,559,251,100,020,659,506,647,466,072,948,939,644,
404,494,466,657,590,236,132,067,896,452,078,745,298,713,234,941,786,876,708,
737,504,832,385,431,544,165,894,124,125,407,691,482,982,159,426,516,120,244,
973,690,352,036,698,795,888,934,797,359,064,628,503,441,113,404,000,528,133,
283,845,394,230,347,282,154,599,964,078,452,161,124,664,872,912,283,314,040,
238,657,193,401,055,523,573,159,120,881,533,154,089,600,529,989,080,787,388,
331,226,795,094,945,366,349,846,676,435,682,346,972,587,496,079,172,966,828,
624,151,655,798,754,686,772,748,653,542,739,713,098,798,701,717,996,435,298,
449,299,782,154,883,913,331,702,322,616,367,636,031,036,159,271,387,215,735,
954,300,467,849,313,283,795,978,368,452,704,714,717,420,949,230,527,428,309,
673,750,554,116,366,648,456,641,335,099,832,269,692,289,093,655,761,524,331,
973,531,161,455,844,658,629,926,691,819,018,832,101,500,151,813,296,952,963,
148,108,164,579,367,507,391,579,984,395,985,611,414,840,420,533,481,053,890,
855,254,961,970,516,535,006,721,461,134,128,829,326,865,501,426,075,813,050,
461,305,922,238,251,321,754,896,930,919,690,298,864,201,139,618,338,119,171,
665,890,821,944,546,027,695,196,522,248,111,765,384,497,297,174,950,514,675,
978,589,555,459,008,336,164,795,391,549,731,627,317,370,236,328,467,708,175,
693,149,518,205,543,458,012,939,687,563,000,081,025,363,038,869,214,448,263,
357,499,616,380,329,301,589,787,681,192,229,193,316,125,755,596,337,866,005,
849,440,241,939,685,104,800,258,346,328,513,100,258,510,464,603,831,930,897,
800,135,832,557,651,369,358,288,572,924,422,638,887,071,595,979,566,347,586,
133,301,990,015,723,367,508,196,502,694,032,514,598,417,042,438,327,650,632,
922,141,164,485,917,141,978,763,677,292,265,871,510,866,588,990,910,029,532,
619,747,303,078,562,416,345,700,057,354,936,288,242,570,648,683,761,456,243,
595,224,453,173,100,504,276,001,502,934,571,549,372,750,762,909,163,298,944,
656,803,298,535,853,727,544,838,687,938,480,763,260,901,230,601,463,784,341,
576,974,687,439,396,093,497,810,071,251,761,677,777,586,876,349,608,610,007,
350,936,535,318,593,849,604,521,167,133,984,496,750,289,115,216,736,253,924,
121,312,021,239,981,710,407,100,010,840,395,613,323,310,801,343,388,576,822,
640,998,296,149,441,641,603,161,169,240,357,856,344,630,500,396,690,185,953,
049,314,632,990,811,545,355,665,064,776,272,556,510,023,651,119,695,412,511,
762,650,348,062,903,827,796,783,824,793,701,391,269,341,586,374,814,302,181,
922,192,191,642,849,455,757,739,614,650,689,759,758,761,528,674,187,754,642,
047,966,901,179,561,041,357,807,744,387,854,585,980,585,549,106,884,584,822,
179,382,500,647,784,344,719,703,036,528,770,977,157,813,465,778,288,872,299,
955,036,793,485,699,954,407,073,553,766,767,167,942,628,650,304,273,633,889,
245,421,080,543,378,545,139,165,971,050,839,955,104,484,483,277,316,004,018,
334,601,312,161,514,792,205,252,928,676,443,990,846,219,320,141,633,382,808,
697,754,083,322,790,724,386,203,303,635,825,475,924,558,005,290,395,501,179,
434,070,062,387,890,299,057,724,307,445,196,977,018,958,059,619,957,981,876,
515,151,946,829,718,105,710,967,212,789,862,907,077,251,460,710,045,676,323,
551,145,577,989,160,932,179,858,800,129,425,859,625,801,576,303,433,846,564,
682,961,876,692,371,447,740,113,067,421,635,060,281,565,537,937,554,929,966,
007,088,221,851,753,349,773,151,970,848,755,519,375,045,087,987,727,846,320,
380,568,343,010,609,332,782,788,146,303,908,974,600,723,916,902,180,862,962,
034,355,861,884,212,961,476,269,348,882,185,889,643,216,147,138,119,054,317,
567,235,820,443,146,253,526,353,423,353,502,491,610,387,960,858,304,763,573,
734,661,038,969,675,510,721,829,983,863,449,315,828,336,780,658,281,869,930,
319,073,148,659,392,133,106,907,009,550,291,297,316,273,497,970,204,995,849,
252,235,009,077,548,134,684,756,799,298,699,545,560,969,362,748,601,338,415,
771,036,124,973,264,129,730,825,869,184,570,060,931,299,205,930,974,844,162,
624,453,140,267,605,931,904,915,201,904,290,542,568,370,124,051,580,604,017,
200,040,172,095,956,673,311,255,907,077,743,410,468,197,940,375,992,405,586,
508,141,363,287,477,489,401,711,313,067,760,195,643,877,722,993,598,565,619,
287,389,666,019,711,857,698,436,692,069,868,469,274,878,754,546,939,153,609,
339,662,587,407,626,878,401,521,795,682,619,131,294,755,555,927,500,110,236,
369,364,909,251,040,832,247,430,661,101,960,133,975,149,781,166,597,258,023,
559,807,399,258,904,238,599,916,148,450,242,840,377,831,008,327,661,476,590,
529,156,619,459,569,802,346,555,124,199,999,266,381,688,812,393,256,190,902,
013,305,780,416,439,175,612,398,222,596,429,186,621,148,239,738,604,645,209,
286,255,841,301,635,952,568,826,515,094,996,417,221,821,126,283,827,678,895,
047,200,307,659,415,792,796,475,148,699,017,239,761,527,537,853,831,574,002,
001,798,272,330,207,456,560,142,498,579,791,246,612,959,574,145,086,717,900,
205,927,470,668,666,034,328,737,098,918,736,325,410,854,864,414,156,047,619,
383,381,476,343,819,173,467,724,740,145,078,600,948,354,775,665,288,235,862,
191,504,950,138,584,765,016,096,527,950,997,579,754,303,536,671,569,092,897,
392,241,695,639,264,994,724,185,400,458,993,386,626,617,135,093,501,994,735,
514,599,021,862,974,141,506,862,606,088,611,195,999,375,284,442,411,568,590,
897,610,493,995,127,268,511,183,956,411,905,897,667,926,017,165,763,243,769,
190,832,669,009,623,919,735,874,948,893,991,028,345,299,542,163,782,566,415,
377,773,974,395,844,832,054,576,521,045,590,335,487,290,126,672,721,163,025,
737,848,927,862,879,485,856,888,830,046,012,279,239,514,625,065,976,590,928,
410,666,632,061,154,826,100,717,798,122,922,509,277,994,259,518,423,591,222,
419,421,843,459,649,369,761,891,280,171,104,451,742,606,264,153,040,387,147,
004,294,796,926,284,057,971,654,890,665,538,203,272,331,950,477,039,661,221,
063,251,608,102,691,554,862,291,162,958,580,264,816,681,061,262,977,036,097,
957,428,324,422,665,578,977,952,034,434,959,878,723,118,643,744,386,753,905,
949,800,164,228,581,741,253,916,778,710,629,359,490,798,553,142,999,638,484,
942,753,073,319,448,793,760,501,699,985,983,547,517,809,610,374,581,515,075,
207,080,485,893,041,011,381,579,009,471,344,190,962,202,236,409,775,269,860,
195,040,424,995,492,540,652,418,422,644,940,396,115,279,019,606,076,552,666,
025,771,932,339,097,525,639,472,857,636,937,175,448,527,458,505,111,443,746,
557,106,514,915,095,879,314,549,879,504,274,956,691,407,565,020,324,729,149,
362,594,816,685,245,359,081,914,997,786,659,519,486,109,857,931,875,577,111,
418,946,242,069,614,757,493,765,949,619,017,342,367,796,236,462,034,971,726,
032,067,282,479,928,222,738,186,507,676,878,941,118,556,212,497,444,728,600,
681,752,557,060,836,710,181,416,920,716,495,878,351,381,080,211,551,578,974,
574,205,620,094,674,290,285,202,910,208,585,570,658,457,150,728,875,700,187,
977,660,227,496,020,349,763,628,060,794,245,258,021,278,813,973,774,597,753,
701,834,710,571,439,162,879,597,851,650,195,174,490,477,901,495,786,735,916,
340,604,411,986,598,526,577,605,286,517,293,700,634,155,943,956,500,594,403,
502,132,379,678,493,792,764,162,180,051,526,208,062,992,456,924,474,772,524,
027,712,312,473,063,773,441,956,228,825,440,641,841,374,912,834,309,466,547,
148,526,157,376,521,275,291,584,091,934,184,790,101,544,752,204,613,686,548,
878,026,413,540,263,633,286,227,415,891,633,379,514,664,591,134,640,340,382,
260,634,753,731,536,572,518,018,980,321,767,066,200,907,055,329,912,449,954,
339,624,017,727,814,280,634,264,603,251,716,748,827,286,061,267,528,025,743,
596,579,618,881,890,172,241,591,781,454,647,801,295,530,420,937,052,139,168,
677,594,841,661,268,218,523,330,506,267,803,876,285,972,026,528,200,993,541,
388,668,725,799,675,268,547,136,525,580,553,285,547,762,606,417,351,849,264,
843,961,646,867,912,680,032,473,433,657,050,999,267,800,274,110,894,607,683,
176,967,043,392,022,363,704,200,096,682,789,927,596,179,498,391,695,680,484,
114,240,139,205,944,978,931,513,215,490,563,500,351,738,667,092,972,295,909,
843,595,646,540,243,403,030,359,991,503,490,026,448,942,322,051,519,124,427,
357,438,145,160,670,924,605,818,499,584,003,009,897,087,897,518,007,900,912,
279,940,569,638,958,620,537,395,679,898,684,641,019,373,322,798,411,055,468,
642,764,344,419,314,311,934,830,958,583,884,704,646,350,555,847,020,339,974,
556,101,738,668,157,643,097,063,337,404,995,246,337,671,896,905,197,196,924,
420,879,420,053,380,050,420,462,909,610,929,585,270,114,786,383,059,760,574,
776,652,373,636,586,289,931,493,957,930,437,711,176,753,355,757,443,525,070,
265,183,466,817,945,226,964,100,875,194,670,810,941,776,126,306,920,836,969,
115,340,451,940,695,924,546,243,016,318,756,195,648,903,275,575,399,658,135,
500,140,207,433,411,369,408,182,679,022,461,526,139,073,356,406,478,015,822,
365,958,627,258,900,418,357,878,654,211,134,330,211,622,217,640,680,105,262,
545,480,679,115,321,443,049,204,799,011,703,273,659,204,669,120,693,575,440,
243,203,397,351,798,596,671,664,868,169,507,141,797,526,653,974,330,495,702,
937,507,286,285,698,726,665,153,251,706,070,793,624,436,245,623,008,028,972,
665,398,477,618,535,688,287,994,868,009,530,950,910,353,620,705,880,363,882,
501,845,353,872,392,960,728,616,141,509,106,786,630,036,090,851,162,056,885,
845,604,108,612,344,568,368,234,145,479,210,727,175,856,744,962,224,596,089,
206,814,275,292,020,107,906,479,847,745,756,311,861,963,002,004,088,672,282,
051,802,984,980,945,958,091,405,582,429,498,524,436,788,304,893,259,958,196,
457,822,209,921,092,360,544,937,718,133,551,006,257,396,424,259,243,554,116,
758,920,093,086,164,278,809,752,574,703,965,148,553,185,453,679,987,671,856,
298,623,529,661,895,919,594,253,854,475,056,589,489,551,515,155,646,093,708,
999,663,310,186,975,351,559,485,740,702,669,529,562,499,230,233,763,327,083,
189,937,400,572,343,643,712,845,616,455,959,276,416,066,619,686,524,780,378,
453,075,189,839,306,693,144,593,331,560,803,665,634,688,206,603,947,486,299,
715,382,955,234,996,791,523,135,135,639,883,090,841,676,214,944,379,804,849,
984,689,551,538,316,035,991,791,486,764,953,494,579,327,307,819,660,824,915,
153,820,342,480,807,312,777,265,781,736,234,747,525,691,557,439,161,668,518,
473,097,773,843,173,758,495,942,480,512,721,695,107,113,960,249,101,507,145,
122,217,279,182,231,581,011,387,666,713,721,490,335,140,411,110,145,134,592,
736,263,012,851,827,764,683,360,713,078,872,319,845,442,498,851,184,456,478,
366,337,942,237,478,380,535,198,318,378,157,573,473,761,034,876,678,422,846,
846,743,221,737,519,809,656,547,221,253,251,632,608,657,031,270,090,419,828,
695,391,038,156,827,905,518,861,596,772,444,577,133,984,669,403,824,008,624,
914,588,635,892,860,024,376,245,677,324,369,249,596,056,161,056,043,440,888,
932,112,869,585,496,186,853,949,715,666,890,317,540,514,958,683,420,566,190,
064,350,858,729,644,563,908,524,570,577,920,237,915,638,661,145,509,459,255,
172,533,102,952,626,038,469,746,828,913,295,810,326,709,153,238,760,192,529,
609,437,852,451,381,316,211,142,236,625,930,165,868,559,612,502,524,076,520,
010,961,998,449,210,659,623,006,208,554,170,339,854,931,279,277,985,347,384,
673,248,696,928,974,314,991,619,574,536,491,165,148,386,112,938,525,782,423,
852,537,943,437,600,185,116,664,382,411,196,262,841,511,155,555,356,784,998,
995,829,222,059,138,246,048,966,414,076,939,930,379,201,816,894,374,287,352,
346,620,967,015,511,308,664,714,475,013,875,072,703,904,828,679,633,012,992,
092,395,890,826,678,179,341,429,154,176,578,525,485,647,407,032,002,725,867,
467,194,927,466,790,044,221,411,434,868,032,843,091,758,035,047,204,621,430,
592,637,833,252,583,349,254,723,482,624,283,948,779,455,123,471,894,997,851,
773,676,186,514,732,384,902,311,706,098,118,648,842,761,883,858,454,458,881,
291,689,947,515,062,187,236,708,816,152,592,597,779,733,735,414,278,872,901,
842,316,269,582,737,207,805,826,255,105,033,952,532,414,181,315,058,713,394,
972,079,053,502,758,708,091,121,569,355,917,232,564,640,478,036,706,175,244,
891,621,083,868,721,056,101,301,954,734,021,304,956,862,368,625,470,673,206,
256,186,069,046,402,314,889,327,052,927,538,440,274,875,725,334,300,594,140,
051,262,005,690,976,655,769,448,977,084,215,512,443,107,759,116,797,378,196,
108,710,506,374,717,333,733,514,735,832,668,355,155,388,003,869,875,152,447,
321,583,682,243,633,659,984,244,030,410,260,806,615,287,273,663,431,233,534,
299,895,007,550,658,381,149,597,615,559,942,031,596,985,102,683,096,576,354,
826,492,831,710,684,919,995,432,093,557,239,891,442,869,319,636,001,507,714,
709,662,959,067,327,225,926,169,492,045,868,957,524,584,838,345,771,898,229,
450,571,447,888,043,186,946,303,937,654,715,369,617,826,938,100,549,589,395,
401,862,107,849,725,133,947,901,231,928,740,209,934,752,207,330,332,223,053,
705,850,328,110,200,124,873,202,922,887,408,972,001,603,024,285,177,188,720,
991,209,928,349,884,507,908,643,557,740,862,892,368,536,730,450,509,839,709,
851,786,210,426,445,267,260,639,389,860,654,074,053,159,638,056,248,451,244,
149,021,677,985,988,101,083,816,291,647,079,487,807,198,508,116,005,762,516,
394,165,289,414,290,656,408,444,355,639,735,239,856,387,543,972,498,039,084,
616,298,584,150,480,632,606,383,522,119,020,002,894,674,336,943,642,188,393,
157,010,419,293,067,893,616,528,878,448,234,806,843,081,129,455,688,932,137,
735,691,763,378,990,534,802,758,704,585,635,707,898,438,643,957,801,477,034,
084,766,959,723,855,195,470,670,339,114,744,742,762,230,975,398,681,363,623,
553,103,988,774,603,952,259,742,839,814,914,400,858,820,388,954,897,086,046,
058,978,592,593,567,341,984,348,231,918,466,681,054,565,362,688,559,806,964,
232,727,083,219,954,837,948,686,903,462,155,686,794,108,192,908,240,457,571,
724,971,967,343,873,502,402,256,393,742,965,741,146,732,219,882,658,625,823,
286,861,238,469,463,352,088,245,124,487,473,804,330,662,090,145,609,015,748,
007,695,202,670,065,229,200,574,911,084,029,092,966,066,223,135,750,767,355,
695,609,816,855,758,867,489,058,688,953,803,770,394,794,587,296,914,633,316,
436,191,150,800,760,759,453,401,882,757,255,792,684,904,019,190,410,766,055,
519,527,643,935,381,825,363,674,696,873,235,564,661,313,843,223,840,804,972,
241,340,953,626,768,456,604,312,734,045,743,903,087,583,895,893,566,794,658,
048,546,829,240,606,533,558,539,059,076,257,586,651,493,465,501,014,153,245,
036,010,764,987,056,758,638,714,596,945,921,886,439,194,928,208,440,268,006,
218,613,066,001,185,982,605,822,082,913,724,584,352,527,141,336,690,579,109,
401,728,074,305,349,343,409,286,459,055,384,189,805,121,227,921,164,318,528,
316,611,547,542,471,081,916,822,405,427,666,248,242,676,136,593,881,742,416,
295,283,889,334,932,208,455,042,835,182,322,717,749,665,093,134,955,693,173,
284,965,386,198,516,542,137,536,653,115,968,184,600,912,410,005,975,768,977,
259,811,591,796,594,988,282,938,807,409,293,280,397,653,986,198,431,037,963,
500,674,049,960,874,522,525,456,253,794,408,870,451,280,439,960,865,228,165,
146,936,484,083,226,824,962,435,682,237,653,126,937,908,937,777,560,022,875,
267,683,839,103,525,077,442,344,856,978,104,453,909,047,772,453,746,925,663,
351,426,448,742,554,734,416,900,722,822,792,517,290,464,601,166,473,841,678,
343,879,366,279,471,656,961,712,233,626,917,475,515,747,502,840,383,543,048,
307,235,108,696,155,127,682,004,124,848,862,348,343,258,296,843,742,093,453,
293,796,334,184,072,158,235,214,118,985,711,765,786,246,569,961,588,329,768,
025,129,915,372,168,240,670,104,658,035,904,066,157,317,754,438,474,333,798,
130,139,982,192,588,419,274,167,998,699,300,272,228,568,691,077,229,747,424,
313,989,292,748,425,358,729,562,633,088,027,057,420,678,597,115,356,955,748,
737,856,366,045,089,954,901,236,491,454,425,880,300,666,655,565,175,809,288,
196,659,205,183,274,069,019,117,648,419,680,924,954,568,569,011,921,311,144,
204,803,208,845,900,641,989,467,886,608,379,867,227,448,483,423,397,127,532,
888,417,288,139,343,391,029,975,104,466,992,338,083,076,711,112,943,443,117,
775,903,285,597,882,786,252,654,274,882,628,955,393,331,920,274,192,947,558,
115,303,639,060,705,175,475,154,479,165,263,805,209,377,905,008,736,969,248,
915,214,794,558,595,240,984,939,602,907,921,974,553,466,438,198,374,242,141,
694,098,863,501,361,568,329,917,260,552,500,205,696,873,798,644,230,799,030,
137,039,419,638,630,790,682,881,762,431,207,609,436,702,086,313,165,129,584,
805,239,937,839,335,528,150,301,053,205,342,809,622,352,433,049,712,729,979,
896,625,597,396,933,999,920,353,395,982,624,251,066,322,548,641,460,713,342,
939,435,716,398,851,243,641,439,887,643,277,439,670,613,842,759,284,047,309,
756,059,834,638,682,732,281,033,973,814,595,453,421,634,977,546,039,466,422,
416,872,092,376,183,849,458,582,439,493,818,838,704,553,914,654,634,876,669,
222,195,338,993,260,136,113,022,854,080,811,918,107,183,822,076,872,219,715,
306,224,126,686,372,317,924,654,824,224,207,127,592,538,138,150,618,556,046,
332,640,724,594,075,706,254,558,575,147,687,354,957,928,462,335,965,059,249,
785,296,570,239,289,875,395,876,535,019,835,529,858,656,014,024,658,465,041,
313,101,518,000,125,607,205,088,935,429,607,740,129,811,248,285,656,658,722,
038,029,558,966,526,787,374,736,342,573,207,774,949,765,709,047,857,110,552,
233,620,576,453,610,560,663,250,413,402,013,922,023,087,420,049,397,659,542,
288,761,468,918,329,991,080,540,715,368,137,167,359,301,426,979,829,763,176,
601,385,669,660,955,204,864,248,155,266,806,056,131,897,068,473,306,633,029,
011,875,962,898,831,243,314,427,649,545,667,700,605,634,775,615,649,458,311,
242,054,353,647,516,249,970,743,117,603,139,273,686,467,324,013,087,047,107,
412,827,573,301,036,352,749,389,641,073,069,459,494,933,891,008,269,448,261,
463,897,537,009,659,781,048,532,369,292,393,343,305,178,297,573,254,428,756,
980,925,269,299,385,743,067,926,798,825,857,552,880,919,025,687,580,817,019,
787,087,818,038,908,748,357,845,411,384,146,111,581,699,119,948,788,055,069,
873,318,268,757,417,978,602,154,969,999,058,242,189,109,694,085,969,625,410,
470,506,635,841,969,207,796,697,802,067,765,300,591,125,934,646,922,277,658,
300,373,982,061,176,054,019,683,689,445,201,555,054,316,842,166,931,018,438,
344,521,092,150,278,553,224,715,332,236,810,961,222,304,534,218,567,177,460,
169,951,152,098,883,670,573,946,694,879,839,645,393,588,762,009,371,421,793,
013,575,903,175,312,811,605,288,571,694,936,137,798,867,609,109,606,869,301,
449,972,055,265,521,561,876,966,795,042,450,707,747,917,533,234,336,232,408,
923,263,130,407,149,317,795,300,454,407,216,896,327,658,563,846,839,792,225,
895,264,626,549,835,232,968,223,307,447,309,160,215,831,511,132,130,868,436,
619,105,802,079,154,070,781,613,412,421,357,898,791,936,468,423,535,744,133,
723,025,393,117,110,701,155,527,934,485,070,845,613,655,200,758,688,506,838,
826,657,537,363,184,059,392,593,127,011,309,050,837,381,220,768,440,650,338,
717,561,149,772,690,983,827,424,907,776,483,290,183,508,170,021,183,187,656,
656,809,207,027,062,904,156,039,744,888,323,275,781,974,787,121,225,612,662,
953,201,981,934,507,931,578,956,799,040,852,597,729,342,452,831,374,007,604,
887,079,665,668,910,668,536,220,027,033,458,912,387,580,791,754,382,355,884,
547,528,617,826,454,434,113,255,658,502,762,620,637,994,531,354,057,710,862,
571,095,722,592,123,194,855,204,622,404,286,591,129,508,271,133,770,980,865,
263,441,359,919,300,692,418,897,514,462,248,479,780,198,209,635,525,301,554,
789,892,342,199,437,883,931,240,952,816,282,457,964,633,196,924,163,039,279,
373,812,901,581,555,680,394,500,727,818,395,525,720,077,634,443,758,888,388,
045,369,788,070,470,042,159,810,666,319,142,721,983,007,787,300,527,635,665,
429,921,120,510,370,794,144,816,950,495,672,566,198,805,601,230,861,755,861,
445,575,020,014,172,545,707,508,828,094,819,887,159,351,805,778,107,073,831,
085,283,576,774,744,418,515,319,163,086,804,706,495,037,593,500,723,827,218,
474,754,363,359,232,743,376,156,243,111,827,323,572,689,463,792,852,062,751,
051,650,437,254,774,205,686,472,990,062,811,259,529,456,781,619,872,831,374,
180,174,185,372,401,126,676,620,547,242,105,016,428,476,136,709,347,028,682,
668,045,497,172,395,037,194,358,582,357,504,053,685,067,999,763,698,884,687,
054,902,745,132,039,976,160,995,972,466,600,078,849,258,439,429,522,390,440,
956,515,425,281,871,625,427,415,930,722,329,386,710,726,831,874,581,856,487,
827,788,451,693,098,466,422,449,775,098,827,702,405,098,854,852,285,627,600,
868,616,446,700,899,763,967,693,738,194,355,152,922,094,270,193,119,458,751,
308,809,578,205,870,315,407,376,232,936,042,339,334,416,045,797,721,916,265,
803,994,335,164,831,692,012,525,390,529,092,516,358,308,669,322,008,188,136,
110,934,244,825,697,253,429,970,048,088,618,948,085,573,786,308,684,196,510,
308,566,902,540,254,687,852,698,075,596,897,205,714,417,187,503,091,208,114,
031,156,778,531,178,546,923,130,374,755,360,251,601,874,919,833,392,744,769,
972,091,261,011,394,815,998,379,018,363,923,963,119,515,839,222,254,590,734,
236,205,940,508,951,954,479,125,422,845,409,889,955,063,053,227,958,884,086,
703,372,373,150,682,230,891,740,396,627,277,861,404,028,501,148,072,850,062,
645,366,457,417,228,993,081,086,764,150,885,385,416,039,652,693,969,486,682,
207,852,444,177,653,947,389,973,104,074,398,066,642,079,247,646,610,444,806,
579,199,515,140,438,262,419,348,808,666,049,786,780,690,906,774,792,685,132,
211,831,058,376,460,792,928,620,835,482,760,644,320,312,157,400,494,865,415,
852,449,361,739,743,297,359,117,480,629,621,421,737,504,348,346,281,913,318,
263,838,082,564,930,018,308,815,591,407,373,108,879,275,329,910,457,261,008,
299,574,280,521,185,829,335,476,886,916,957,572,911,005,898,964,775,195,858,
127,196,991,966,463,059,375,087,034,616,127,845,654,940,379,972,265,315,509,
630,638,941,455,096,824,894,684,488,491,144,607,675,905,769,626,952,439,307,
018,492,485,674,344,214,243,647,936,100,076,819,515,576,741,281,092,991,409,
234,696,739,471,754,946,952,878,400,053,298,195,854,550,936,091,583,930,162,
357,495,111,165,424,926,230,909,614,703,440,108,236,456,815,544,830,367,246,
195,376,490,592,136,679,451,828,510,223,121,901,107,308,260,909,334,538,582,
427,713,153,108,085,482,056,255,106,857,414,425,273,539,337,362,310,243,615,
725,695,540,133,559,161,796,671,967,680,857,812,072,342,442,762,541,405,478,
525,706,613,785,398,849,771,351,729,770,471,541,502,880,861,298,347,951,432,
357,369,645,488,146,451,606,573,591,385,677,329,280,717,495,043,748,776,390,
494,607,557,143,591,872,115,693,752,646,707,576,879,054,448,640,538,404,232,
456,055,431,799,013,648,902,629,578,599,959,549,313,213,491,815,608,255,256,
269,178,706,312,380,340,974,979,461,361,516,319,792,375,365,481,316,032,694,
590,042,085,887,670,111,675,535,296,724,094,996,861,916,849,254,464,427,638,
446,184,672,132,244,988,922,090,260,966,141,881,756,970,635,828,778,366,951,
696,627,350,515,812,274,619,559,447,733,399,582,503,331,673,947,911,081,860,
066,667,017,159,122,499,444,146,049,512,151,933,780,653,651,941,134,521,032,
915,851,300,021,577,182,946,577,211,273,480,368,189,711,302,453,488,773,532,
566,097,032,937,382,810,985,914,152,205,000,698,437,444,590,600,884,960,776,
837,595,137,649,660,105,325,467,037,830,198,700,896,151,911,391,210,899,632,
540,027,289,539,943,842,539,050,626,226,334,002,546,656,877,268,070,869,363,
817,333,240,868,971,596,031,900,953,335,467,286,460,064,437,111,339,621,017,
189,101,959,125,103,417,238,748,882,342,421,260,038,731,512,986,587,222,161,
462,807,678,233,321,348,360,463,792,468,567,232,185,653,571,234,240,517,861,
844,418,456,391,052,234,417,301,756,219,823,514,210,064,326,737,238,434,810,
583,023,600,834,559,298,120,622,630,508,734,121,208,779,864,197,233,823,028,
130,521,455,765,787,195,672,307,371,583,991,603,369,724,296,386,119,645,053,
509,780,695,352,833,503,563,761,763,033,518,854,898,602,344,457,578,821,406,
588,570,701,964,555,981,350,711,458,934,727,387,743,279,509,015,197,615,655,
853,496,693,332,579,444,461,723,202,354,145,370,638,414,747,798,032,798,790,
010,606,439,754,898,915,241,124,878,565,524,262,060,214,499,866,791,551,849,
899,454,966,476,603,608,385,974,178,310,798,846,495,404,153,850,406,011,128,
780,794,673,205,837,367,181,481,022,467,075,546,069,007,767,260,064,589,899,
370,806,447,705,251,271,500,101,428,541,593,148,197,061,738,315,955,159,255,
687,225,471,885,829,368,335,042,894,526,352,698,100,257,560,682,830,463,763,
878,836,550,191,707,686,325,880,250,803,125,854,994,190,073,380,317,020,070,
772,013,903,067,662,110,804,409,202,885,182,375,841,727,182,664,812,381,298,
146,298,193,193,425,244,244,884,984,650,585,819,272,562,936,931,565,136,555,
628,145,153,135,173,164,167,145,242,082,814,000,112,415,025,771,968,320,871,
968,297,450,839,585,874,282,706,290,954,124,588,132,584,044,292,160,760,673,
607,308,121,694,659,680,247,459,605,417,580,067,519,770,107,385,239,983,344,
253,012,048,295,419,260,465,345,171,092,672,694,869,121,362,904,865,298,092,
487,547,859,171,467,965,982,964,285,603,208,492,033,842,994,671,843,054,796,
085,843,298,598,143,246,777,921,223,100,718,639,307,453,008,679,603,234,887,
757,691,883,276,996,238,596,026,693,243,909,964,655,478,038,786,257,734,564,
802,004,425,491,626,180,153,755,872,645,800,756,986,519,552,033,565,376,430,
076,308,699,833,470,186,433,402,085,067,175,650,412,454,135,101,651,874,586,
856,835,722,768,762,312,104,984,244,016,439,648,089,764,973,820,394,787,799,
094,004,983,065,484,318,275,887,755,963,576,562,370,230,240,599,325,035,049,
898,554,796,042,537,142,914,880,405,993,763,454,179,936,196,315,820,543,828,
084,257,820,928,662,890,060,297,666,134,173,907,380,237,974,638,274,696,272,
983,420,901,301,108,405,668,025,369,324,483,257,712,244,745,270,943,195,409,
071,191,921,338,745,112,967,940,622,565,621,896,656,942,682,527,060,633,303,
202,549,433,751,447,422,509,935,293,293,110,863,959,644,295,460,589,037,815,
549,668,218,304,623,686,118,212,886,229,120,213,598,650,498,777,389,772,547,
559,503,205,734,791,463,122,639,362,318,057,693,558,131,362,602,172,364,868,
757,420,937,584,033,369,828,541,494,293,777,525,787,150,750,469,120,441,313,
470,691,737,542,614,698,960,359,450,963,680,249,578,913,877,348,530,897,385,
570,696,579,707,153,121,401,751,301,693,257,059,232,941,709,015,166,158,724,
086,612,272,952,620,285,752,835,491,250,941,480,897,081,919,591,110,323,993,
934,848,848,507,760,067,716,528,028,269,001,841,750,436,060,472,063,263,930,
987,588,819,458,292,676,893,918,152,135,334,577,279,388,072,904,495,600,543,
727,080,330,664,261,852,167,609,610,310,564,204,586,494,742,884,823,969,221,
229,433,450,892,281,955,526,477,066,031,666,147,091,014,468,544,405,503,180,
479,814,085,522,673,414,960,849,639,246,393,086,676,628,263,307,698,119,304,
025,829,892,400,762,906,093,504,164,059,938,971,261,767,153,530,739,333,798,
686,238,351,209,030,177,545,065,220,810,903,685,500,846,721,670,554,162,791,
483,155,254,072,282,526,944,902,831,840,104,572,595,793,156,277,013,087,892,
541,915,509,402,155,554,239,029,154,309,644,133,744,215,054,436,420,297,731,
138,260,564,655,610,218,880,747,397,153,139,039,173,695,633,733,727,782,359,
352,686,238,120,341,727,436,085,727,645,741,432,463,413,491,573,369,647,065,
078,590,710,075,575,548,513,676,198,488,474,545,161,234,396,928,921,342,927,
966,599,126,755,108,242,330,202,615,314,572,214,147,580,448,005,992,004,060,
965,943,616,939,709,560,158,742,719,671,482,526,212,309,228,173,147,280,859,
431,355,940,372,590,178,260,061,207,486,970,128,865,656,702,776,725,235,272,
381,404,795,571,216,486,178,920,219,387,259,926,823,536,025,657,537,384,114,
039,480,376,541,543,689,050,584,142,011,723,047,434,407,387,004,072,544,229,
397,843,068,563,422,706,847,747,569,275,287,218,876,908,804,434,945,675,806,
086,432,410,588,678,354,265,669,459,549,029,569,788,333,226,106,389,916,941,
357,302,952,122,890,518,459,806,331,343,170,497,639,688,924,749,520,139,578,
018,080,249,591,340,587,404,169,638,760,602,626,690,708,433,570,671,028,275,
846,196,758,638,002,323,457,959,860,775,170,891,605,578,886,043,814,694,250,
316,287,937,721,281,594,842,032,788,939,298,208,308,393,524,510,879,100,127,
503,036,620,545,306,262,643,556,971,289,754,491,848,541,045,834,095,572,728,
017,510,990,469,078,067,746,710,167,209,879,877,565,844,399,693,407,770,172,
433,052,530,310,039,296,250,270,852,742,442,483,242,634,759,246,838,195,728,
923,268,187,258,750,345,483,634,725,057,941,017,238,848,737,634,905,357,021,
831,370,864,222,545,923,355,618,389,547,198,297,566,423,324,256,667,354,426,
012,330,083,024,342,761,987,386,533,836,030,457,430,108,128,614,802,605,763,
609,722,514,129,350,965,751,531,496,465,195,818,398,845,421,418,665,227,454,
422,703,967,668,178,220,030,201,982,990,075,505,849,251,216,770,137,376,094,
005,822,949,152,414,353,337,518,738,464,648,400,101,786,617,211,088,899,340,
353,461,078,252,013,145,317,221,027,172,463,509,298,299,441,585,712,110,657,
346,361,669,540,497,763,550,619,899,732,901,343,214,270,919,137,345,286,120,
865,754,674,542,836,900,378,533,859,663,528,297,362,700,132,810,528,241,460,
040,920,846,582,312,160,150,693,780,378,031,671,740,139,561,170,830,590,770,
535,019,564,083,917,132,428,643,392,223,079,296,874,183,121,073,509,073,918,
044,555,361,596,732,827,286,707,078,907,439,325,137,890,435,531,733,526,626,
560,876,946,282,964,637,338,860,451,171,363,400,912,551,008,771,176,308,000,
739,830,944,128,541,997,770,572,736,175,694,122,986,819,501,921,034,814,068,
168,462,472,399,220,172,490,898,801,867,855,276,757,683,243,718,799,822,794,
540,022,089,974,600,200,337,647,075,020,184,857,965,958,116,829,368,963,724,
757,790,458,540,450,466,464,556,552,769,451,963,381,731,811,644,161,487,880,
506,479,880,040,751,350,061,901,498,032,215,869,087,449,357,216,240,810,387,
918,928,310,711,150,042,810,683,938,657,099,521,985,344,574,782,777,660,038,
579,061,409,287,524,570,905,928,261,892,984,479,886,436,173,146,776,985,296,
982,504,053,635,935,607,821,029,064,932,455,367,029,646,711,799,998,052,797,
406,481,405,184,511,508,755,557,044,758,582,855,041,706,968,045,268,455,814,
328,126,359,850,207,557,483,612,755,978,397,355,239,221,414,587,072,930,533,
225,768,915,878,276,049,773,585,587,954,031,895,544,604,823,461,165,994,927,
112,863,161,959,206,206,880,785,696,103,528,382,082,198,024,654,249,204,701,
414,411,142,543,933,951,782,437,820,347,842,441,125,021,945,911,954,686,028,
299,193,349,159,425,249,768,363,578,274,151,836,637,719,951,556,194,947,489,
109,967,801,946,121,160,153,325,782,243,278,020,714,314,991,469,087,340,131,
579,646,181,998,640,685,509,767,259,412,283,339,950,622,407,475,034,659,173,
075,179,825,350,624,150,827,087,511,022,374,931,142,033,428,935,353,298,482,
773,068,363,693,028,366,437,323,127,477,660,641,802,549,490,975,002,642,360,
945,166,193,394,341,727,298,434,509,525,656,585,649,278,287,570,047,451,425,
891,225,390,974,501,635,929,987,224,079,169,335,511,285,822,304,257,560,851,
302,696,836,188,967,955,932,938,784,330,599,947,660,405,908,751,427,360,016,
797,702,378,996,028,332,423,129,594,369,890,932,619,156,806,970,683,498,161,
513,992,960,425,582,804,587,772,621,305,668,026,537,931,884,497,647,421,898,
345,074,056,733,873,036,353,603,327,877,601,807,811,323,177,993,185,180,345,
297,323,036,812,419,053,467,414,747,417,243,513,420,556,419,411,611,038,930,
730,450,596,065,400,449,751,407,886,750,665,217,363,226,550,614,559,225,683,
481,466,420,199,852,891,445,327,009,760,737,003,304,101,892,013,453,959,597,
943,525,296,068,180,537,984,513,880,744,679,098,764,980,427,671,232,552,223,
433,585,550,699,666,359,552,416,348,407,241,804,124,345,792,671,306,999,345,
018,499,788,815,190,095,230,066,036,143,121,113,872,730,711,102,804,118,825,
770,560,632,581,706,315,422,621,842,585,302,676,336,146,632,480,625,584,480,
080,918,810,005,741,524,910,537,933,596,288,321,115,173,210,747,869,300,610,
375,133,899,718,172,166,848,865,774,753,674,976,920,053,876,849,834,866,985,
400,040,457,026,478,846,469,046,652,332,319,444,799,867,183,261,677,254,315,
371,534,448,603,526,059,759,252,463,065,212,140,565,964,534,588,945,579,756,
622,664,836,367,848,984,239,928,997,020,674,696,623,513,325,428,360,124,257,
304,216,715,033,983,778,733,066,117,953,398,413,034,517,907,289,674,840,586,
935,476,127,073,474,585,756,626,163,051,286,770,308,855,167,739,279,213,555,
444,667,585,591,718,225,789,216,169,135,243,852,203,943,783,460,452,281,655,
255,384,822,976,297,527,797,646,291,229,467,219,596,088,472,014,519,307,764,
379,392,546,534,585,186,459,485,377,210,234,413,640,141,255,860,624,448,720,
807,598,681,088,735,102,985,494,900,297,737,157,402,952,527,404,859,631,410,
005,132,095,500,858,922,226,220,062,292,433,360,579,761,197,276,687,740,411,
283,745,602,688,458,527,040,338,975,879,331,067,484,819,046,815,170,124,043,
776,416,021,629,821,451,877,571,476,029,074,247,917,384,253,639,435,791,916,
266,102,998,184,086,256,636,383,295,650,067,363,096,945,776,543,862,724,521,
631,929,381,085,598,573,505,875,969,124,789,159,227,349,497,422,579,153,453,
479,607,855,895,224,889,687,246,436,195,748,979,844,987,810,698,700,174,494,
639,656,840,370,328,485,571,050,673,509,513,204,340,325,344,201,329,302,349,
311,425,396,181,327,802,725,460,078,069,969,172,417,295,044,355,778,516,448,
529,260,344,637,430,321,090,711,941,459,782,140,075,689,466,002,662,037,414,
532,503,617,641,640,852,911,039,435,522,804,971,228,223,030,212,228,181,564,
742,883,275,924,446,279,670,196,848,844,392,749,985,057,087,478,337,839,821,
826,154,255,949,200,822,800,628,212,254,497,828,267,041,579,805,296,767,075,
138,604,959,842,976,639,870,731,894,584,710,156,634,518,553,825,976,753,532,
733,879,948,459,218,139,066,307,775,466,702,552,662,098,517,974,207,655,524,
685,441,528,946,198,979,702,825,749,065,741,894,630,553,581,909,163,032,248,
063,253,969,135,279,226,764,090,936,193,766,343,753,840,249,856,163,450,639,
480,067,447,257,985,276,902,364,303,383,898,371,280,972,880,053,687,772,012,
776,149,172,417,782,904,199,268,085,258,259,430,578,251,126,700,837,618,833,
394,540,549,212,033,000,736,549,460,916,414,308,884,170,960,266,646,040,508,
425,485,005,726,479,841,164,093,276,909,720,319,650,637,488,765,926,672,017,
829,743,889,039,360,655,358,542,042,605,689,429,455,710,260,768,340,930,060,
836,642,357,007,774,829,048,453,960,470,800,276,599,123,492,658,658,633,968,
383,454,107,184,777,766,649,253,835,828,160,538,203,117,706,939,200,061,175,
884,649,145,616,243,176,087,090,507,844,300,591,923,631,756,768,061,846,397,
077,515,041,953,539,328,191,172,752,119,356,527,564,654,920,345,741,387,658,
490,040,242,805,964,239,840,346,344,682,676,455,923,226,791,214,805,754,922,
992,016,738,672,937,668,613,037,674,755,084,755,886,567,623,266,650,479,897,
190,418,733,426,577,382,682,484,824,328,270,699,650,358,069,849,396,857,036,
205,245,682,261,732,563,210,985,542,007,128,374,618,793,777,397,389,314,096,
087,636,746,111,090,980,933,431,501,697,519,647,452,262,792,968,728,606,119,
928,300,432,054,049,499,977,424,067,314,833,958,982,876,106,579,610,620,728,
655,878,841,796,235,977,708,647,007,669,094,463,529,428,318,578,476,525,079,
189,884,972,459,184,171,347,696,109,041,757,927,538,255,472,087,422,316,450,
844,218,028,746,086,909,420,541,919,471,190,268,497,087,567,249,807,003,885,
450,992,776,984,562,998,088,533,362,437,744,882,798,624,644,991,678,397,070,
457,100,429,089,098,214,424,974,622,084,046,126,650,764,189,630,207,495,628,
796,626,584,414,686,471,673,523,164,889,595,214,128,813,950,566,290,434,229,
126,473,406,466,144,543,532,862,683,240,604,737,130,744,208,096,924,731,661,
185,171,700,295,339,054,756,049,979,118,839,435,273,170,633,721,709,894,126,
617,494,647,706,377,531,600,373,649,809,543,311,983,988,013,982,060,303,965,
713,330,634,165,663,113,697,713,819,666,007,196,450,503,007,966,838,235,617,
738,143,990,069,234,617,879,916,476,695,754,315,147,152,735,603,339,238,313,
362,774,528,722,162,791,693,396,176,755,403,835,529,172,107,154,440,157,821,
045,071,648,601,344,742,169,275,578,004,852,322,104,788,555,397,401,117,852,
631,952,661,327,888,538,346,388,292,018,331,647,672,556,662,589,825,586,634,
152,026,082,035,027,050,745,446,146,244,449,330,175,091,445,643,931,136,485,
370,447,415,682,468,904,604,135,024,924,095,644,642,268,683,836,824,996,778,
480,633,155,974,620,753,966,060,721,700,329,351,164,463,646,575,542,676,966,
614,478,420,547,110,658,672,059,629,754,347,147,600,761,427,689,782,208,129,
376,455,165,870,917,973,038,691,162,069,500,707,191,889,242,519,497,579,829,
627,576,225,684,494,517,001,104,545,438,521,886,590,181,018,152,508,236,720,
163,427,988,739,028,907,529,489,117,212,552,428,631,498,288,482,499,605,300,
154,013,848,384,052,031,452,220,131,512,928,201,776,765,494,102,447,117,084,
067,551,013,536,173,076,022,746,439,968,936,797,576,290,790,556,443,776,707,
834,158,831,017,949,993,039,561,125,478,086,239,775,955,771,025,869,637,081,
940,576,860,190,773,655,777,450,982,638,397,155,668,525,362,471,447,014,028,
393,575,247,826,565,769,315,313,045,177,252,081,241,855,089,689,610,787,511,
612,640,864,322,419,157,141,520,735,812,190,322,844,270,146,371,704,804,170,
377,169,325,097,217,728,645,597,802,714,372,599,164,213,434,867,052,796,517,
594,912,850,195,889,786,591,510,368,779,781,660,429,182,924,064,092,503,350,
843,150,795,863,726,561,316,789,227,216,423,868,664,807,551,232,829,723,417,
230,983,551,747,741,700,749,430,823,309,330,626,215,505,149,376,228,135,544,
231,565,528,459,380,861,932,410,892,513,001,658,994,383,539,473,562,035,709,
501,987,378,282,117,525,601,599,241,764,231,498,590,933,937,416,497,487,948,
734,862,864,590,680,956,831,367,708,459,652,920,606,416,660,750,160,241,863,
229,025,447,347,339,099,299,129,555,942,920,194,692,680,774,113,326,813,826,
362,947,777,101,745,437,788,556,003,391,738,000,105,020,511,414,589,857,567,
565,822,192,366,919,552,548,742,423,847,970,306,667,257,766,916,148,114,892,
507,149,415,798,764,342,596,334,226,709,065,728,121,721,881,134,028,666,187,
668,322,889,331,657,984,404,416,239,650,934,694,398,714,938,347,369,196,511,
692,821,219,412,647,581,648,511,367,346,052,597,059,955,518,565,036,371,471,
894,709,332,715,355,722,706,232,693,724,531,526,737,496,692,803,364,093,254,
129,800,450,820,384,551,194,776,116,681,766,594,280,483,010,559,593,367,577,
445,369,233,135,477,284,883,261,187,016,425,227,487,850,434,874,508,196,339,
978,027,747,111,186,940,824,076,765,158,660,694,775,424,524,633,717,101,853,
465,299,898,671,011,197,726,614,262,880,799,386,862,020,616,656,871,588,744,
933,195,396,279,581,145,423,797,581,995,692,348,005,907,225,444,989,972,594,
769,175,577,618,081,438,931,030,545,496,427,104,868,331,076,925,681,465,677,
634,987,561,440,312,762,164,343,276,592,547,641,695,987,836,187,924,371,013,
071,317,048,965,969,384,694,282,534,368,880,813,649,343,800,273,347,024,722,
344,475,930,682,350,228,836,099,704,007,992,407,974,259,552,971,248,429,480,
959,161,829,711,328,783,778,786,106,339,478,369,684,736,958,892,264,770,749,
013,835,645,164,445,591,244,821,399,150,056,642,097,801,825,905,766,939,671,
057,813,276,563,018,414,581,592,852,990,066,331,063,820,901,481,782,830,800,
467,231,975,648,661,913,763,983,735,761,084,806,022,878,604,714,410,552,847,
079,477,483,221,496,789,796,065,330,488,793,323,360,725,797,527,627,244,171,
243,390,913,709,180,535,056,251,966,581,903,347,757,655,427,440,643,252,261,
644,608,637,103,184,712,835,612,467,417,643,066,826,743,605,376,161,009,336,
755,809,949,168,665,998,654,067,733,680,088,210,552,727,183,331,523,731,904,
594,710,663,687,355,708,592,897,869,640,567,915,674,287,539,586,102,870,979,
354,592,269,407,085,702,774,672,004,647,234,812,601,619,860,686,363,616,658,
937,422,698,430,051,146,914,139,779,426,105,496,126,877,554,322,878,403,673,
671,832,685,838,861,463,370,352,602,093,530,087,253,307,372,779,652,681,248,
065,909,385,893,844,737,964,955,346,578,351,327,070,725,856,458,999,913,850,
016,535,421,301,479,067,109,802,583,476,683,170,441,675,945,316,660,145,749,
364,900,204,946,415,143,490,102,470,065,501,314,492,038,554,023,633,206,815,
681,976,286,742,488,171,831,354,172,277,766,884,432,174,043,834,453,472,320,
343,473,833,166,193,559,744,015,719,060,938,925,193,795,909,351,312,175,765,
726,190,435,613,707,248,376,143,140,285,128,639,022,127,627,693,094,156,456,
266,743,328,524,197,469,140,896,517,392,307,786,674,490,321,090,639,121,819,
545,520,679,226,116,377,354,897,266,007,008,812,250,754,053,007,874,869,897,
161,104,233,736,896,652,903,897,039,591,605,013,925,860,312,643,115,511,394,
668,970,227,181,239,366,175,025,944,495,276,155,203,256,339,168,099,314,555,
495,680,141,923,067,923,355,468,011,367,232,016,721,272,880,522,341,242,375,
747,765,187,287,090,197,295,117,900,284,634,043,890,666,997,235,355,744,739,
354,272,470,786,478,231,832,684,850,418,360,718,732,601,963,894,662,456,351,
163,604,554,452,379,365,085,852,232,947,007,036,885,807,351,898,120,748,367,
991,833,760,690,332,903,693,451,058,671,719,234,395,789,394,339,536,742,569,
688,847,497,307,853,208,879,428,405,759,224,522,475,540,238,767,923,935,987,
229,039,518,768,640,373,875,452,014,519,073,676,093,854,249,540,121,843,981,
598,631,136,528,616,635,963,963,207,288,356,099,616,169,843,012,372,129,464,
490,845,679,810,581,914,632,646,320,789,660,208,778,319,684,191,889,007,737,
748,559,960,471,866,822,192,926,165,382,053,441,027,310,213,071,007,091,969,
349,289,392,547,982,548,477,331,226,300,730,274,014,135,685,887,472,101,049,
465,296,865,137,306,115,072,319,349,245,208,493,156,838,182,050,471,058,259,
401,235,287,990,877,490,693,077,062,635,334,453,139,073,779,779,870,850,404,
322,473,189,882,079,129,415,678,456,695,363,019,776,865,682,613,194,930,294,
441,626,226,073,454,780,635,330,263,014,841,837,327,765,926,271,434,287,751,
834,288,282,044,077,796,033,782,821,541,157,882,075,200,517,616,714,277,373,
314,873,857,830,209,592,441,738,567,585,779,953,963,221,276,939,152,818,281,
053,320,558,612,268,907,023,398,507,950,466,576,811,572,022,890,580,037,106,
065,471,774,078,142,251,520,204,210,326,884,783,845,114,511,270,702,041,177,
026,828,339,570,759,047,134,118,562,564,175,205,371,185,676,834,989,843,678,
572,885,213,267,630,952,705,078,110,386,052,370,856,651,164,741,912,146,716,
626,540,101,418,427,343,494,840,750,269,313,666,353,686,595,078,118,851,497,
605,997,251,780,520,782,974,079,915,832,259,047,380,131,197,162,857,991,799,
510,214,185,635,925,503,963,780,609,570,936,625,205,382,774,709,990,658,909,
911,308,211,822,974,690,169,272,061,158,198,296,986,372,531,318,586,226,095,
548,063,332,739,697,064,106,774,579,628,848,906,154,702,336,665,959,906,132,
327,414,514,621,692,246,714,376,014,970,558,107,145,316,549,633,301,338,166,
577,238,521,328,443,173,363,095,870,540,613,599,089,964,625,922,696,730,096,
013,622,283,526,093,721,478,513,645,894,051,694,613,328,578,016,819,349,652,
832,446,352,056,694,180,167,167,227,895,786,728,354,361,367,162,076,912,538,
330,930,630,834,873,135,422,112,931,519,973,690,054,489,818,268,494,752,257,
212,339,817,006,331,238,431,609,583,024,363,556,126,728,121,792,175,136,581,
661,027,882,016,175,231,605,399,366,226,652,882,183,310,410,736,820,346,055,
869,351,634,698,933,531,027,065,732,566,267,088,877,835,741,951,167,985,440,
736,218,514,057,687,185,311,537,716,758,695,498,528,579,477,181,953,769,009,
764,781,001,922,512,227,883,484,117,211,148,444,456,728,359,357,625,070,195,
652,939,496,298,108,007,389,907,185,725,325,515,394,514,629,147,942,247,571,
063,179,106,296,332,964,609,718,816,061,699,240,019,045,448,591,688,011,945,
451,562,060,985,473,779,552,103,576,645,728,039,967,460,415,892,932,177,917,
275,827,809,514,271,039,963,349,871,197,459,561,322,126,444,555,783,834,154,
346,679,725,838,369,760,935,168,948,266,669,694,208,985,157,380,234,897,437,
681,007,671,624,185,255,810,254,378,546,189,521,526,304,175,183,882,454,035,
480,794,384,329,139,465,433,496,045,927,243,821,130,099,927,643,007,642,212,
229,101,300,634,755,761,391,386,667,718,642,842,347,641,083,921,963,613,339,
733,213,173,528,551,837,463,091,896,260,511,669,582,116,234,169,487,955,871,
563,515,676,063,244,392,208,643,939,615,893,251,199,923,568,547,810,361,431,
977,463,958,002,402,516,349,979,071,372,146,302,678,420,431,833,229,517,867,
752,718,124,630,574,749,272,898,095,603,471,909,203,226,520,713,814,916,755,
092,506,884,888,533,318,609,289,264,368,469,360,551,777,640,955,083,465,117,
215,507,681,956,318,648,771,313,317,952,041,384,954,477,049,510,923,126,116,
735,713,457,861,147,066,208,349,311,966,299,789,892,150,823,854,413,539,082,
668,401,844,798,394,287,387,004,665,011,914,145,189,044,520,368,894,897,594,
436,464,399,358,744,174,578,833,096,269,594,761,423,783,635,083,120,124,929,
665,613,344,529,001,118,940,756,501,841,730,272,534,238,741,084,600,296,835,
744,636,921,621,755,789,876,051,336,365,087,461,548,736,765,418,981,333,136,
715,554,605,767,424,646,420,162,192,382,696,938,740,350,300,336,813,982,950,
231,835,402,661,800,853,993,117,293,140,218,868,343,180,087,764,517,102,605,
447,022,449,631,600,446,323,111,020,308,809,859,302,729,894,051,270,245,193,
604,350,471,639,986,670,970,732,213,759,052,713,046,885,453,916,664,557,935,
824,038,906,706,205,414,230,746,526,817,894,509,824,492,920,190,467,793,070,
499,189,117,329,995,583,291,247,496,183,557,911,959,688,732,141,001,419,680,
283,293,062,884,052,829,392,699,222,712,625,496,994,263,119,762,893,103,393,
285,809,573,946,276,494,405,676,438,223,363,664,676,470,349,866,224,497,520,
886,600,190,044,488,008,488,962,436,939,339,147,080,340,458,215,530,293,897,
451,226,230,441,451,972,904,268,270,469,751,925,234,377,603,460,185,304,053,
664,719,334,599,126,538,295,817,896,838,360,397,349,608,214,119,838,350,772,
339,775,444,572,120,758,469,439,159,701,116,854,726,552,378,212,950,268,107,
599,292,255,285,441,682,114,624,885,600,464,634,170,336,501,277,781,057,835,
844,515,187,117,602,023,786,208,001,605,170,360,491,883,484,577,322,496,767,
978,634,908,096,783,103,421,913,138,079,051,236,709,439,410,421,843,580,771,
243,630,220,976,653,073,535,089,562,266,083,155,594,368,228,231,724,691,899,
827,871,886,166,391,846,407,772,411,115,910,760,670,745,152,759,113,931,226,
322,071,559,372,604,467,408,737,163,697,674,639,750,137,239,543,443,096,684,
233,997,454,318,682,192,552,050,079,330,660,115,376,064,550,088,628,981,146,
550,756,107,023,709,118,798,137,927,118,239,370,024,334,461,524,952,593,837,
884,563,005,871,463,372,985,370,095,117,572,996,391,060,185,555,718,868,315,
750,705,965,817,336,045,351,222,969,211,264,062,573,125,936,453,384,165,769,
174,248,039,800,965,350,948,941,563,051,055,532,642,443,137,921,597,630,202,
340,150,239,923,881,969,645,126,068,268,980,185,734,687,073,176,592,522,271,
029,763,699,926,785,008,635,765,030,883,492,625,363,309,107,531,086,958,488,
255,621,342,367,782,297,388,231,234,985,499,226,312,688,127,120,250,949,620,
628,294,376,497,740,687,043,597,353,562,484,615,915,526,357,506,103,061,555,
591,125,814,280,241,419,491,025,348,322,279,183,255,420,141,687,412,659,300,
284,563,032,269,140,409,054,731,961,098,395,897,829,513,574,527,779,411,890,
905,169,692,113,687,457,193,969,031,279,900,485,590,535,884,827,933,573,159,
378,513,044,433,505,665,821,010,830,084,720,809,291,118,194,638,821,192,692,
114,649,846,645,716,868,682,793,905,326,873,412,230,725,703,121,325,278,885,
914,651,112,214,019,818,098,190,927,665,380,827,252,948,767,780,202,214,886,
207,042,912,284,853,709,935,045,568,468,881,240,986,313,878,158,481,688,540,
923,475,279,530,170,968,672,355,569,498,953,670,234,277,280,094,426,347,097,
661,371,740,571,034,237,706,094,579,723,742,966,781,147,350,511,885,945,247,
418,394,602,624,740,134,631,506,682,305,094,682,591,162,497,288,896,879,636,
223,227,509,258,537,247,870,524,627,921,749,028,769,041,559,062,081,669,840,
484,257,058,020,846,697,333,489,435,583,025,967,410,278,255,066,214,210,698,
491,071,704,076,389,056,686,970,711,633,222,250,993,103,263,062,074,354,512,
527,964,782,898,063,728,522,691,667,518,460,699,313,577,481,160,134,308,508,
919,634,194,229,427,896,947,192,815,427,550,010,978,102,347,111,727,908,684,
452,077,085,521,891,669,690,242,676,981,695,768,525,536,259,042,486,591,201,
828,662,630,916,736,596,512,146,468,076,316,043,767,633,210,340,847,149,424,
164,438,606,138,237,088,545,609,116,766,678,482,582,329,778,134,618,961,115,
370,798,904,294,700,878,379,456,121,623,738,680,290,927,686,604,832,812,170,
037,136,273,815,120,298,751,879,239,617,885,971,060,908,103,455,455,252,846,
853,131,433,948,360,830,649,712,357,348,433,684,590,885,426,264,883,473,862,
842,845,023,666,869,293,341,720,650,328,705,521,228,211,113,957,816,111,153,
066,984,382,657,100,970,802,182,236,203,791,698,867,096,063,910,231,077,111,
331,530,645,829,314,519,844,479,387,455,218,954,213,613,224,376,788,344,875,
879,434,556,341,609,389,339,476,161,847,009,125,252,153,710,699,262,648,909,
977,729,066,313,408,559,674,782,000,025,173,823,461,269,845,690,944,361,802,
952,786,624,848,316,504,027,673,768,687,680,939,797,995,826,748,535,394,702,
672,926,951,070,502,414,125,204,029,711,063,587,651,713,016,799,191,570,989,
038,124,987,997,667,943,510,410,316,003,921,379,394,529,396,043,629,382,252,
640,609,953,860,455,482,082,053,597,498,704,205,853,839,238,252,331,465,498,
795,502,467,023,831,844,831,348,535,237,815,493,830,913,436,110,900,011,501,
692,686,947,064,484,530,293,473,643,124,304,072,880,554,354,105,860,008,230,
570,632,408,409,845,027,462,615,583,865,805,925,913,422,557,347,591,792,795,
697,518,644,140,177,960,497,275,671,613,412,236,637,006,088,230,891,300,777,
411,296,526,828,484,522,290,356,482,180,736,163,767,158,586,372,411,122,390,
282,262,256,487,892,250,619,171,684,843,709,783,467,972,522,278,305,857,730,
951,607,603,708,241,980,039,851,051,538,543,359,715,763,207,580,545,318,138,
932,778,454,135,890,919,353,585,348,955,152,397,752,671,501,543,990,667,847,
139,510,958,897,365,998,506,533,938,570,296,903,638,050,227,145,043,567,926,
555,708,158,083,367,023,172,195,294,052,637,144,494,550,054,214,914,794,175,
565,492,322,873,205,152,426,147,501,650,296,827,234,226,348,104,789,913,551,
217,014,147,584,332,636,854,316,338,160,866,624,228,460,185,516,187,406,247,
279,983,816,302,322,156,255,073,044,392,569,671,684,674,338,441,197,840,979,
376,326,110,609,251,186,665,291,568,037,361,951,309,569,347,649,363,281,824,
357,037,308,418,608,659,026,618,920,599,584,539,860,919,928,278,714,798,063,
458,278,881,102,052,230,888,710,721,361,272,865,612,078,128,615,425,818,747,
260,408,680,902,546,876,690,349,315,016,742,962,119,749,995,954,446,102,166,
811,293,041,799,327,377,820,761,811,731,819,566,963,084,741,989,063,996,417,
016,712,088,380,110,745,967,729,190,934,901,910,047,675,022,311,220,557,977,
509,479,418,129,590,035,417,632,183,926,137,938,198,889,657,639,046,200,766,
578,557,119,345,300,501,427,522,866,378,440,786,645,960,237,334,693,555,350,
509,681,189,176,132,889,621,273,250,511,011,193,729,210,525,573,725,353,255,
191,692,815,408,077,723,987,278,037,552,272,564,372,010,142,140,763,690,946,
713,713,378,465,004,988,812,741,141,592,642,835,143,741,129,706,241,759,197,
872,938,731,496,794,870,140,032,392,395,800,951,342,665,662,439,121,150,677,
307,535,530,415,648,684,231,215,072,095,437,335,894,554,130,721,868,569,461,
778,709,706,884,921,975,187,463,163,987,331,965,345,335,922,946,551,272,039,
116,722,338,231,281,259,790,660,403,801,605,065,448,275,323,564,404,208,455,
772,256,961,140,749,452,038,052,864,391,146,809,662,703,823,781,521,206,927,
570,090,633,468,433,827,155,082,568,673,611,415,923,895,510,074,162,682,877,
699,819,481,290,660,220,099,783,700,777,458,564,340,198,528,748,490,297,436,
990,899,433,780,168,174,351,434,395,783,160,639,073,771,399,795,404,443,776,
179,199,467,031,685,256,879,722,174,429,370,336,239,962,641,718,061,391,703,
405,252,044,708,756,086,048,699,769,059,406,211,375,312,778,777,279,993,540,
989,213,914,102,840,120,243,623,743,165,058,504,130,728,045,470,197,999,507,
917,991,481,744,215,601,954,152,410,603,551,204,851,277,877,802,590,120,180,
606,026,671,036,951,580,845,655,127,284,840,691,283,747,406,677,348,647,494,
433,280,179,349,508,121,060,613,015,640,010,548,707,910,083,654,349,071,816,
732,264,404,580,277,487,197,684,524,789,518,912,487,786,659,099,930,811,780,
591,629,877,094,969,315,621,947,486,742,257,236,252,903,892,970,440,788,831,
142,337,916,983,546,676,383,328,479,803,423,593,284,214,839,407,594,052,417,
196,220,634,363,022,377,377,789,850,564,321,473,829,861,503,344,287,453,089,
874,983,531,227,582,760,468,632,966,726,705,660,805,866,394,185,651,520,026,
534,785,450,408,690,536,545,197,118,662,590,932,688,127,244,335,793,874,539,
595,180,271,854,523,909,092,388,071,816,395,738,838,444,654,365,957,467,778,
578,791,196,814,287,368,976,450,472,253,494,302,009,987,917,099,389,506,958,
047,584,796,787,828,681,116,280,397,711,293,482,685,126,758,266,399,573,400,
644,467,745,055,144,982,086,754,856,554,480,294,706,335,558,543,950,752,525,
485,810,817,289,946,113,672,195,375,706,156,214,669,243,289,858,225,546,157,
187,535,116,960,778,796,492,214,985,308,249,236,262,109,107,227,876,866,144,
198,718,950,314,077,598,095,713,008,337,153,786,728,433,942,126,219,905,296,
341,640,313,116,293,298,059,998,874,466,733,720,331,569,536,370,386,342,412,
690,763,996,351,466,235,620,219,315,890,007,829,085,829,642,686,251,630,875,
855,733,622,877,806,529,478,160,641,316,581,505,949,168,998,035,807,098,436,
904,994,836,512,278,739,058,252,109,884,982,152,913,535,072,683,347,424,119,
693,041,157,402,337,876,498,862,517,282,575,360,352,828,788,462,799,847,818,
949,627,713,378,805,838,803,963,801,674,430,047,744,430,763,083,439,767,410,
642,996,004,757,023,245,731,740,629,910,677,649,611,490,898,645,276,668,604,
158,227,778,928,629,064,169,710,782,498,341,859,144,683,090,206,404,987,939,
353,696,285,277,115,686,315,636,004,601,920,836,157,248,374,931,050,027,954,
455,130,664,866,532,482,514,997,187,496,479,287,052,760,309,758,197,753,803,
585,948,725,668,478,898,742,765,493,770,803,877,155,776,469,233,879,768,110,
757,390,902,206,945,232,282,523,641,000,649,018,167,186,962,010,153,193,179,
079,141,876,327,182,499,315,655,842,319,567,253,134,157,366,617,483,263,191,
656,652,765,489,494,508,346,607,665,052,272,838,354,705,734,731,284,599,421,
704,385,220,322,373,639,278,121,495,132,981,295,317,238,500,712,436,570,767,
733,474,772,040,281,010,172,733,387,617,664,617,211,097,397,288,944,447,646,
897,652,210,093,286,566,924,117,667,378,411,421,394,298,199,969,955,230,190,
424,244,871,627,639,727,221,959,612,877,902,060,994,492,384,959,618,125,912,
010,758,129,214,068,117,499,126,943,314,164,652,203,409,987,887,615,328,240,
399,853,025,099,677,754,033,128,039,051,797,212,532,065,420,539,577,395,484,
438,387,788,155,221,881,451,390,066,351,157,710,707,877,748,002,398,506,339,
876,025,920,563,852,463,654,045,709,012,176,609,668,392,398,891,356,924,192,
933,686,637,970,210,554,618,085,085,389,211,121,622,888,660,876,142,024,083,
462,020,140,238,177,960,374,534,444,558,173,885,490,166,202,238,836,033,736,
214,655,223,285,502,385,212,210,623,030,659,269,207,193,870,726,627,400,087,
112,848,397,679,295,291,672,440,814,818,291,551,622,966,760,589,107,819,934,
517,998,398,087,524,984,686,678,601,080,553,502,678,161,974,487,623,383,808,
082,266,740,747,924,923,933,376,026,518,210,893,418,697,593,919,928,838,531,
655,210,109,259,233,148,040,829,176,306,650,986,627,394,683,640,077,960,026,
949,459,648,453,624,306,381,676,785,809,130,435,281,843,737,217,050,714,535,
827,778,705,835,371,828,884,989,877,110,812,898,365,791,202,036,658,060,212,
489,837,986,922,143,349,142,721,480,051,085,256,291,322,071,140,655,309,456,
452,954,197,928,085,802,003,013,435,346,877,305,765,939,135,632,587,920,953,
392,772,684,832,215,819,938,874,312,423,184,403,545,239,588,091,836,558,653,
290,396,211,909,028,568,869,169,034,113,924,735,694,577,557,790,959,142,604,
453,402,840,973,162,833,901,787,894,731,810,886,800,473,888,241,688,897,776,
079,624,897,001,975,273,568,655,172,058,902,584,602,598,811,470,163,066,973,
940,899,624,632,260,511,520,934,999,519,866,388,603,337,218,391,733,552,239,
619,058,988,820,860,138,158,345,425,491,809,329,579,183,333,486,983,322,785,
904,008,161,983,281,263,904,080,310,509,397,300,056,100,867,827,775,978,340,
596,640,287,966,171,652,843,909,188,039,448,265,811,725,320,113,957,518,162,
085,923,195,400,151,769,185,105,144,898,355,858,261,073,579,629,439,878,439,
504,013,464,005,920,091,516,103,206,170,664,408,933,931,708,640,141,142,945,
726,188,420,146,399,588,746,043,418,814,877,791,351,531,585,499,001,436,633,
996,413,486,771,406,445,322,872,774,294,887,768,904,093,401,636,992,352,469,
339,942,402,875,552,134,679,438,572,196,058,905,318,257,074,722,549,773,879,
098,523,477,967,488,149,445,328,096,684,254,236,381,823,118,790,954,765,631,
117,062,257,561,274,106,916,211,298,677,789,622,174,054,543,835,442,204,909,
597,833,704,668,423,062,981,996,523,662,251,974,770,225,941,505,000,493,419,
940,159,682,853,072,733,607,375,633,457,441,203,069,434,225,564,981,437,494,
821,814,572,899,576,038,083,453,821,758,386,487,853,640,780,309,732,874,828,
336,976,510,082,124,797,776,430,001,061,080,497,019,094,087,327,178,595,715,
139,716,125,172,341,500,389,714,722,139,389,687,211,821,203,950,977,839,941,
466,272,478,803,817,376,937,418,506,449,655,101,262,067,347,259,558,795,098,
969,232,474,918,420,263,748,582,251,657,421,246,560,348,084,281,599,895,961,
666,255,546,270,698,266,643,241,979,848,180,278,120,775,575,007,855,739,747,
588,569,743,798,181,782,183,162,949,538,384,462,149,302,490,198,865,252,449,
773,837,297,998,366,298,629,144,986,294,022,019,375,160,256,259,738,194,598,
416,086,882,021,255,294,462,066,729,879,128,397,835,514,478,093,814,808,795,
407,218,497,570,334,005,725,251,746,306,260,102,188,654,234,285,157,101,276,
863,896,317,981,190,835,438,679,081,889,866,780,901,154,854,717,324,184,480,
439,376,878,998,586,159,722,119,910,491,736,784,520,184,510,318,888,108,034,
931,172,289,932,016,383,607,047,552,543,116,796,174,360,766,683,320,948,357,
255,360,915,845,988,123,422,789,131,298,008,580,733,941,176,768,957,912,075,
808,500,047,604,867,562,753,575,870,816,965,828,020,588,631,088,778,364,549,
478,892,738,548,422,842,038,993,629,064,778,702,512,992,856,370,485,817,722,
486,768,325,651,928,673,210,501,530,093,805,784,188,180,520,022,651,449,492,
207,830,400,242,454,755,799,288,347,755,368,802,038,979,385,212,063,723,669,
813,099,364,596,130,675,950,506,450,302,936,281,500,449,943,828,192,608,210,
550,428,110,703,502,131,684,698,267,061,613,507,561,963,853,354,129,948,723,
303,904,576,564,964,347,504,549,665,656,278,284,374,894,163,512,788,787,670,
117,261,138,452,392,360,693,955,040,736,702,845,154,396,106,133,242,235,837,
917,988,391,032,418,995,784,118,212,886,915,714,798,296,590,051,165,676,887,
012,848,924,975,007,501,220,579,952,120,073,191,884,273,856,137,754,481,062,
923,701,224,619,264,495,005,799,972,713,917,343,510,962,765,759,374,242,134,
891,113,890,807,856,486,272,723,380,149,639,630,991,861,117,860,999,955,029,
355,401,831,021,005,593,476,045,123,234,197,260,703,525,457,444,590,142,783,
965,523,367,114,982,184,159,732,897,698,178,491,933,145,601,261,216,775,449,
776,854,632,023,834,507,473,506,378,819,920,932,161,699,622,386,889,717,307,
976,814,645,244,173,860,437,336,981,335,773,323,428,297,613,786,127,042,417,
722,182,811,087,020,971,880,382,881,597,424,047,392,212,861,186,441,207,451,
324,849,144,984,995,466,638,782,382,424,041,286,148,509,672,798,774,548,503,
483,551,976,095,633,695,399,916,539,167,235,621,546,838,320,058,399,242,762,
971,786,174,237,956,967,827,051,947,371,255,301,973,302,428,018,725,599,085,
828,574,263,723,294,782,998,355,594,317,923,526,419,640,987,962,715,709,953,
532,557,125,048,473,925,181,276,340,468,563,454,884,544,677,762,798,022,655,
040,623,250,725,978,767,513,852,039,224,140,411,691,121,607,116,804,505,429,
987,514,577,379,793,460,916,930,325,796,945,133,479,234,493,296,617,679,098,
729,174,831,771,575,551,342,410,673,374,198,254,930,519,782,261,975,010,504,
106,708,896,505,515,957,817,586,387,131,504,862,385,046,070,090,010,260,119,
993,175,470,093,024,338,094,942,275,134,430,866,671,574,217,801,363,837,506,
820,331,028,831,353,424,493,516,014,220,125,543,082,545,023,277,861,476,462,
687,677,182,548,458,600,423,404,671,148,016,691,254,183,381,470,072,709,959,
708,185,275,738,162,298,415,479,938,303,555,209,618,337,777,722,175,258,132,
253,988,393,211,665,882,470,270,089,357,135,066,851,896,343,017,346,140,119,
558,702,442,248,982,618,077,532,855,299,083,439,287,142,390,879,195,148,990,
414,710,303,759,575,433,300,470,934,588,006,670,669,011,978,850,449,341,308,
256,272,380,140,713,460,303,454,964,795,538,778,525,282,456,008,607,471,739,
486,422,198,536,718,689,815,521,337,939,884,976,966,626,185,390,041,042,002,
046,436,965,637,950,919,458,481,759,559,389,694,137,171,389,579,148,156,845,
601,262,797,178,334,150,604,615,464,439,032,308,766,901,810,907,704,736,258,
561,867,725,098,871,022,929,308,651,247,895,106,861,891,433,167,846,281,228,
745,699,823,795,519,399,205,496,273,363,834,204,654,097,413,917,936,045,407,
028,948,392,110,935,896,251,154,244,115,238,935,007,206,265,086,453,057,238,
660,380,475,956,259,773,796,161,204,073,039,373,210,779,671,360,730,396,866,
859,127,789,365,150,538,682,589,346,087,444,909,752,534,564,528,108,293,011,
907,855,377,798,727,760,166,423,113,505,230,708,803,590,084,057,914,779,929,
142,341,396,603,907,896,461,982,056,241,863,420,153,010,123,191,277,975,118,
822,360,480,223,256,434,253,338,967,767,079,594,261,994,058,580,472,426,595,
582,007,363,592,752,473,540,761,553,929,019,145,800,156,489,118,991,970,103,
212,034,262,331,206,414,509,546,143,441,999,628,818,413,692,945,806,615,415,
633,169,937,410,793,639,962,760,704,721,601,633,034,500,298,395,055,862,758,
629,454,558,345,088,527,848,993,970,944,443,797,969,007,301,319,282,087,567,
137,736,062,823,159,352,585,498,978,174,218,246,451,015,585,033,183,872,628,
357,745,046,330,811,755,709,946,913,495,714,134,466,208,250,277,762,482,561,
648,167,644,824,654,943,595,493,427,620,127,076,065,012,199,307,895,398,288,
902,859,733,657,133,098,477,539,105,346,044,487,706,828,143,614,154,303,674,
641,119,629,089,474,852,054,494,239,742,842,307,992,881,251,991,125,877,316,
415,854,841,171,338,935,608,217,944,618,469,058,339,451,594,207,189,115,386,
390,376,505,562,805,631,623,043,139,756,431,560,373,099,867,482,945,182,964,
097,887,426,382,346,245,449,981,637,389,697,012,627,869,653,252,061,120,740,
280,532,563,215,661,594,026,249,813,687,129,944,660,037,459,751,076,708,916,
332,210,788,077,103,787,277,372,666,464,892,246,419,466,692,445,989,174,861,
207,103,281,751,040,297,648,927,920,488,679,053,673,177,124,655,179,586,223,
697,665,950,046,027,909,499,702,609,613,803,876,384,709,068,902,425,542,679,
407,911,179,775,060,756,227,283,794,270,463,605,012,408,183,137,052,042,048,
968,723,370,853,700,640,443,913,000,064,513,731,227,055,973,756,753,631,256,
262,862,794,185,342,526,901,548,017,139,570,778,242,493,677,622,210,392,022,
164,261,106,840,704,056,098,279,908,677,136,900,177,124,330,278,346,840,349,
006,341,990,517,619,385,503,916,302,658,874,503,718,613,656,034,509,874,361,
065,533,071,166,204,316,773,870,999,972,000,848,074,693,249,108,269,772,619,
949,504,109,657,077,923,089,148,122,144,182,574,431,093,216,718,070,940,013,
574,554,170,496,713,563,385,761,146,225,829,139,681,105,995,344,955,825,643,
958,536,189,136,951,722,082,664,644,931,430,558,307,144,802,039,009,054,522,
884,911,609,140,061,271,987,023,765,578,232,750,639,977,065,101,345,831,723,
668,744,693,351,545,853,123,401,907,699,596,687,095,718,804,864,812,323,253,
815,393,539,491,955,951,768,014,501,023,876,838,295,903,846,083,652,217,123,
909,767,464,417,987,628,817,144,313,736,440,572,611,142,186,208,557,471,242,
926,126,572,684,691,371,682,971,032,483,155,737,872,614,299,706,615,549,251,
383,191,522,522,961,589,017,312,669,159,094,867,832,724,780,246,712,602,927,
960,742,293,782,089,227,895,662,377,392,629,322,529,079,184,660,253,063,068,
781,376,509,847,618,762,817,369,799,086,589,170,251,525,540,861,097,137,972,
488,986,419,532,320,718,438,540,742,753,807,692,336,015,463,616,460,794,630,
040,098,942,611,464,765,590,743,342,174,048,231,914,008,667,636,726,524,372,
013,199,006,561,789,514,318,227,703,411,714,427,526,980,257,229,328,021,912,
264,826,018,707,778,318,175,531,223,506,883,329,091,423,661,790,118,495,480,
070,869,623,232,499,683,088,710,708,844,034,600,427,717,210,071,522,031,158,
382,691,678,091,771,090,115,789,794,071,623,024,710,724,693,047,464,444,381,
747,633,457,140,541,955,641,374,353,994,635,072,954,672,431,373,715,963,259,
125,445,332,930,412,561,895,079,179,239,107,338,835,621,478,618,360,656,930,
554,529,261,592,992,654,546,873,285,208,263,045,081,058,885,076,187,752,647,
840,280,378,762,743,947,388,495,789,034,274,839,774,662,263,270,874,904,747,
023,879,333,084,024,487,080,178,381,091,943,683,726,642,662,444,937,147,669,
393,683,070,120,116,521,086,010,019,228,874,235,899,161,096,828,931,453,901,
376,620,163,344,038,710,638,583,018,946,171,819,564,800,098,703,958,110,540,
240,684,598,049,885,412,056,684,473,777,538,489,345,201,635,629,543,727,214,
091,319,274,219,422,342,716,801,830,490,944,238,284,727,342,110,610,539,590,
172,576,674,501,552,350,813,991,596,159,902,935,119,377,327,035,905,769,466,
978,294,678,666,234,472,394,209,525,288,203,843,587,036,579,770,140,214,061,
659,542,860,658,410,596,078,996,820,892,932,070,981,477,078,050,988,848,268,
746,186,841,307,988,348,618,893,418,127,818,233,015,528,184,104,473,659,429,
091,548,278,090,630,707,673,473,430,449,073,350,220,753,425,128,857,090,244,
124,416,343,815,281,520,951,891,775,801,020,045,476,999,915,422,010,556,205,
244,471,898,371,046,424,255,885,254,125,587,396,740,749,794,271,995,701,793,
399,948,017,271,591,344,048,687,299,021,712,587,118,915,046,531,084,763,645,
113,303,263,589,615,433,786,114,951,836,038,030,095,745,324,510,997,605,981,
737,792,356,234,564,731,376,042,973,146,108,487,910,474,946,079,166,105,750,
218,598,388,032,663,461,578,688,699,883,978,876,993,272,667,484,658,571,035,
781,944,546,878,654,489,059,240,210,407,504,083,197,359,185,829,796,101,035,
582,160,984,051,559,607,511,659,529,738,076,667,744,852,339,770,569,284,119,
188,946,283,678,603,667,687,467,748,109,380,558,115,716,263,550,068,697,167,
499,338,675,286,086,577,308,410,748,614,243,429,214,643,934,165,243,758,544,
247,686,520,326,540,666,765,803,799,317,831,485,598,592,013,548,099,986,812,
283,240,736,740,226,169,025,210,367,187,223,443,074,344,580,292,227,860,103,
844,560,347,416,199,509,864,547,939,884,680,594,890,430,650,944,551,307,696,
545,956,279,673,018,148,948,870,397,858,050,447,706,591,417,049,280,895,297,
764,773,735,810,177,134,494,167,855,966,860,755,362,594,350,737,884,006,746,
013,081,656,693,312,665,086,830,020,885,990,698,387,456,262,548,063,003,669,
881,049,425,575,514,032,258,415,085,899,515,330,106,612,761,841,106,948,930,
869,654,798,237,872,005,992,326,073,427,864,526,986,340,183,712,065,243,665,
967,084,355,324,363,681,954,353,796,431,048,225,413,033,048,883,656,239,226,
630,680,819,688,730,851,186,034,209,124,664,922,256,334,522,741,064,301,413,
570,372,007,888,490,908,141,320,612,342,446,770,862,572,421,367,146,479,772,
645,252,206,914,281,384,551,579,975,211,342,352,893,764,932,117,755,119,037,
392,596,067,639,316,923,763,939,753,249,062,814,087,634,575,971,458,402,945,
877,558,459,908,493,395,352,536,360,787,928,486,911,740,650,408,129,975,434,
132,028,196,239,638,868,585,305,863,926,262,627,832,206,550,812,280,185,132,
811,116,870,862,310,477,188,672,197,028,037,072,346,522,125,360,748,756,263,
290,708,043,101,213,211,869,044,468,347,703,010,180,267,552,165,605,037,285,
899,851,294,647,244,988,271,148,175,844,462,329,066,142,587,866,494,780,417,
019,612,230,426,087,933,028,860,238,792,226,093,780,464,508,630,159,766,483,
683,168,982,546,734,395,043,119,875,240,191,537,355,686,984,102,762,440,456,
585,407,587,207,538,448,011,339,542,107,907,037,718,190,353,996,850,141,671,
771,911,764,302,068,697,312,781,990,874,246,838,961,560,797,631,761,510,805,
498,327,684,830,297,893,585,353,605,344,633,811,076,699,120,000,482,900,217,
097,794,246,536,682,839,576,768,758,699,400,364,550,459,726,513,188,606,170,
293,289,981,824,068,599,464,457,409,311,648,877,452,328,138,663,605,485,529,
644,719,755,102,103,506,078,217,222,984,459,748,553,294,300,975,552,231,619,
321,033,222,612,363,242,544,489,478,206,246,050,932,141,192,728,364,632,304,
359,174,707,955,007,349,392,127,741,079,947,091,356,755,737,729,316,826,569,
945,755,406,969,062,253,798,048,730,386,196,332,914,621,362,529,763,026,590,
667,307,092,570,063,527,912,203,166,586,336,440,611,883,107,320,074,003,952,
265,847,062,401,008,673,223,969,114,284,770,282,312,765,550,408,586,940,010,
565,241,418,682,511,994,433,042,969,695,894,708,009,504,546,838,354,562,568,
842,329,274,001,337,128,704,395,543,948,260,397,484,052,422,808,911,442,627,
252,985,256,510,449,807,285,521,710,070,320,062,001,414,889,947,434,193,513,
364,836,676,707,408,018,299,907,322,398,529,300,281,297,277,086,969,332,370,
543,571,103,904,291,118,441,946,918,912,489,126,689,146,174,419,853,074,994,
724,800,115,753,130,213,048,857,311,834,296,452,461,246,335,208,709,572,616,
244,214,795,479,479,971,955,689,215,273,273,402,836,151,873,350,297,076,888,
455,652,642,660,054,740,321,348,746,250,135,955,655,887,348,779,992,313,352,
025,196,699,365,607,297,047,269,222,400,408,040,672,904,525,181,972,420,126,
125,836,887,249,535,812,907,636,114,477,140,032,484,522,427,699,456,552,986,
921,873,465,836,825,573,636,133,783,241,038,873,547,254,125,108,227,970,779,
910,054,928,883,830,633,240,843,191,511,572,793,167,346,760,678,012,615,513,
484,841,669,250,434,024,106,189,093,994,491,337,168,948,718,538,170,371,849,
739,966,767,739,360,895,134,400,640,906,410,355,694,227,161,053,689,924,421,
000,575,470,983,790,561,320,741,281,826,202,834,785,124,864,095,481,805,631,
513,980,495,915,849,769,077,499,434,084,619,069,824,721,396,043,034,014,251,
173,435,860,625,682,789,288,970,958,122,333,297,852,558,228,778,412,668,089,
114,190,669,822,838,558,393,917,924,465,655,686,077,946,754,171,221,836,839,
040,316,380,983,696,511,249,363,311,915,441,451,853,449,297,032,209,900,603,
362,962,600,934,542,667,521,539,325,302,628,259,506,030,487,719,384,901,683,
290,313,727,871,808,948,421,862,381,299,544,543,010,695,256,336,702,066,099,
896,178,755,350,975,911,060,462,927,303,999,260,846,030,893,573,598,073,562,
570,465,149,390,204,844,447,994,985,210,347,253,839,715,179,550,577,566,573,
060,577,618,953,643,902,248,712,162,438,286,650,010,491,523,287,235,310,424,
869,601,062,411,623,431,149,893,549,264,795,252,966,212,775,247,452,475,559,
811,535,010,581,344,137,718,532,533,363,441,669,469,863,309,056,664,758,688,
809,149,955,460,533,604,449,108,523,384,948,579,190,206,887,826,656,164,211,
805,038,520,716,868,592,229,070,067,185,927,367,865,097,364,257,275,360,594,
577,978,602,237,030,597,982,648,143,104,160,406,355,318,302,876,655,854,432,
395,565,852,485,747,972,141,756,796,619,637,439,475,687,985,138,552,932,175,
065,743,078,476,742,060,284,989,819,379,992,481,159,143,245,709,094,929,531,
482,099,769,414,367,234,439,910,747,375,912,737,823,057,695,341,995,987,726,
361,005,958,585,148,654,124,573,073,096,220,515,653,921,217,804,235,038,867,
083,822,743,380,400,449,955,656,901,194,167,280,717,577,286,419,647,926,007,
201,641,410,685,822,349,590,885,536,443,845,692,217,003,379,681,826,906,168,
444,494,610,538,926,263,754,612,887,181,854,145,861,773,674,506,790,388,961,
249,950,043,241,153,862,767,187,131,020,301,232,002,305,778,262,036,298,504,
820,322,675,235,104,480,844,065,552,591,755,674,998,778,484,641,180,978,407,
307,746,757,980,809,867,563,318,378,307,658,260,217,834,808,614,990,364,637,
432,793,125,995,503,124,037,809,824,266,027,179,699,285,118,621,455,403,474,
516,155,166,426,705,390,663,525,363,968,500,038,649,694,502,768,108,069,778,
177,384,080,694,633,413,051,194,685,710,500,040,484,709,862,566,021,796,050,
149,535,431,639,149,742,787,657,249,241,999,960,452,113,813,722,416,004,042,
756,568,719,160,481,021,928,804,683,528,441,597,259,282,251,696,988,361,784,
838,371,103,978,862,876,638,767,814,789,230,217,029,884,915,130,921,565,762,
630,959,458,591,902,742,578,695,126,681,385,532,580,969,898,236,131,309,056,
850,248,709,977,749,701,258,604,900,503,231,583,803,973,350,191,222,694,943,
857,399,683,209,611,016,651,263,946,123,759,467,375,720,083,916,624,272,224,
410,406,763,217,511,700,910,771,757,863,301,164,933,982,263,680,613,036,510,
488,646,789,278,631,393,870,092,006,456,646,167,402,351,949,074,916,185,406,
624,178,585,556,223,887,738,784,915,611,166,029,795,950,151,015,110,120,293,
456,324,731,506,950,326,631,160,901,650,025,829,787,400,841,167,173,163,435,
534,932,395,381,486,065,957,906,187,165,115,472,940,970,636,657,319,103,233,
250,047,366,247,836,081,578,994,303,362,345,195,075,260,371,417,295,454,227,
804,026,714,517,821,053,737,317,227,648,400,306,258,906,848,874,646,361,998,
417,445,076,401,828,987,465,652,832,687,240,460,111,777,683,607,927,854,827,
260,476,493,214,081,102,765,204,669,087,176,649,091,441,766,430,516,259,435,
952,542,294,078,160,682,991,759,690,267,742,623,835,619,077,838,361,124,662,
495,837,101,593,934,903,540,487,079,804,831,532,827,134,919,112,925,563,181,
164,209,711,895,103,596,382,267,313,660,634,055,581,923,410,217,817,951,012,
899,312,249,488,257,056,587,866,905,087,831,985,349,897,837,611,913,710,825,
161,090,967,056,121,614,493,038,494,491,609,506,097,265,334,255,477,223,271,
018,417,481,595,595,965,688,090,443,606,814,745,160,471,648,175,990,714,070,
272,563,640,909,787,124,872,618,716,671,288,750,579,297,287,025,989,537,303,
316,407,147,397,407,361,337,661,316,737,856,266,119,404,293,489,400,711,108,
784,031,895,735,645,614,841,707,992,861,971,402,549,775,437,813,566,086,598,
077,419,293,107,280,409,586,317,059,500,771,118,998,845,231,039,342,710,503,
029,431,320,413,716,853,962,802,416,079,827,510,965,862,902,393,302,856,672,
896,885,728,420,328,704,270,825,966,000,775,814,782,183,167,894,192,540,172,
019,237,039,834,319,624,569,256,566,482,634,755,858,361,102,359,575,196,606,
145,335,898,354,666,244,722,739,403,139,114,231,610,015,227,321,173,646,895,
463,233,885,987,398,401,052,281,993,765,336,287,404,922,637,809,856,023,849,
759,114,985,538,475,108,912,337,945,079,635,884,843,163,119,337,799,444,561,
678,069,054,446,486,066,874,923,466,365,855,010,791,989,451,250,810,646,390,
290,798,299,842,828,254,871,094,836,465,877,782,771,523,556,011,147,051,713,
232,904,307,589,047,526,795,245,209,660,729,292,062,286,860,012,495,998,887,
347,205,243,119,180,698,813,624,273,103,309,058,993,039,834,596,362,528,157,
262,303,425,045,839,881,096,069,384,707,549,000,725,568,913,859,327,050,118,
829,878,503,546,051,243,353,998,764,916,350,888,353,204,871,094,980,593,564,
994,574,541,955,789,647,910,246,466,334,743,480,960,417,431,204,148,070,414,
713,775,743,835,757,191,453,262,280,874,017,430,670,650,075,760,017,010,382,
703,401,362,429,236,132,756,182,306,463,490,356,105,330,723,390,197,818,496,
999,915,650,914,386,386,781,208,957,540,176,434,041,916,511,847,128,694,257,
146,378,924,253,088,657,963,793,105,104,898,208,016,725,295,426,570,409,224,
813,375,606,903,696,550,592,269,573,577,259,111,635,419,417,667,486,714,176,
489,559,527,346,010,418,923,372,637,496,075,673,092,859,936,701,843,732,207,
972,816,118,481,962,276,105,126,704,916,516,442,892,150,833,065,490,918,659,
718,660,069,415,924,816,489,605,446,639,333,830,133,987,854,207,029,692,679,
473,692,357,688,474,664,988,894,089,606,385,233,576,330,436,358,193,390,354,
738,651,118,173,078,273,322,642,286,779,170,298,246,841,216,218,105,633,351,
096,054,773,825,517,749,398,249,543,179,390,518,607,895,588,254,498,969,903,
806,352,510,589,959,896,624,152,769,355,688,723,095,769,712,161,142,939,070,
591,762,994,877,875,879,728,419,360,111,244,538,774,269,698,689,390,149,520,
482,363,603,013,746,597,674,951,354,387,846,571,753,474,475,603,408,683,924,
406,563,624,966,339,219,794,974,752,697,354,822,292,129,005,106,253,164,365,
699,207,756,032,927,193,499,953,624,598,890,714,857,230,911,357,553,045,411,
728,982,952,126,169,763,931,941,922,914,740,154,530,699,181,642,630,526,061,
877,596,525,433,955,919,906,704,412,137,505,598,901,273,045,261,847,360,071,
896,185,923,748,845,955,178,023,723,549,085,594,957,412,027,738,668,820,880,
873,254,715,755,199,982,534,175,706,743,049,327,022,916,524,445,503,721,613,
313,573,593,887,015,647,930,075,045,148,864,049,577,554,246,048,350,829,409,
267,214,257,619,076,813,645,729,342,824,576,036,466,365,136,035,003,039,812,
431,129,917,565,194,816,994,353,511,557,032,068,157,655,259,428,962,549,479,
415,185,782,941,625,905,813,634,730,588,689,444,367,723,096,041,581,580,449,
001,318,983,873,461,537,501,413,305,803,682,617,607,685,170,895,685,324,595,
753,459,926,325,308,182,652,829,972,744,572,239,503,008,239,988,176,384,866,
385,228,076,411,947,815,022,139,808,777,456,122,159,842,373,788,063,828,062,
318,155,177,787,770,539,988,966,466,453,345,796,543,858,841,970,229,099,941,
311,869,303,430,012,074,433,498,780,012,002,296,659,321,743,050,083,035,366,
428,401,291,358,594,213,214,661,413,267,589,971,041,112,678,209,239,808,868,
495,238,754,596,286,730,656,624,865,185,381,648,123,104,497,551,475,218,828,
043,152,619,852,454,956,788,386,495,968,220,086,171,860,161,181,880,682,652,
273,486,845,643,850,548,024,266,437,795,217,987,505,569,124,741,712,476,818,
761,880,441,293,069,800,819,816,308,249,728,089,910,590,794,502,906,582,658,
965,901,685,206,750,830,027,011,654,606,140,279,119,646,611,996,821,656,466,
123,005,859,147,629,074,779,209,061,811,429,395,153,766,720,535,865,445,294,
511,828,187,713,095,948,166,827,276,982,967,270,869,146,033,606,136,876,505,
760,625,844,987,908,353,040,023,181,827,207,514,944,825,353,679,809,521,380,
092,189,415,380,457,477,020,026,701,165,859,038,486,754,952,610,919,520,180,
093,994,711,634,382,481,659,063,127,659,792,656,885,838,930,484,354,715,451,
692,299,436,072,562,832,777,950,744,090,121,715,418,191,668,710,980,265,545,
471,785,940,870,614,069,090,125,283,053,091,933,915,098,762,547,845,207,356,
468,235,990,236,612,523,157,045,540,643,387,691,346,746,703,804,213,683,017,
309,037,614,162,601,969,442,354,137,957,478,955,422,540,581,341,840,675,666,
662,154,051,120,241,002,901,398,409,980,787,098,979,380,179,136,209,077,400,
818,972,737,933,402,159,724,534,088,521,899,340,005,700,303,590,865,227,276,
514,622,082,638,820,220,769,665,843,771,376,629,320,632,119,407,649,123,448,
447,785,415,227,900,839,290,486,984,609,145,520,126,476,872,510,618,409,523,
334,934,587,500,442,241,961,651,389,757,061,721,445,167,465,293,824,760,635,
346,106,897,590,767,919,540,231,037,142,480,941,324,833,742,369,744,709,225,
577,473,887,549,978,451,534,502,797,781,473,115,753,704,331,473,264,999,500,
189,881,550,689,522,049,693,008,007,720,581,840,149,778,563,020,844,331,415,
730,366,540,268,952,486,199,443,096,794,398,354,145,357,923,122,016,861,871,
753,549,887,786,611,265,579,129,307,575,930,882,608,871,972,041,990,908,688,
786,786,544,083,099,162,183,781,799,513,370,636,602,701,520,245,846,666,555,
678,025,215,556,686,819,549,190,483,591,670,974,825,871,906,530,484,538,884,
803,913,830,519,245,403,341,853,412,113,442,756,811,786,684,799,341,373,788,
966,159,647,478,218,731,172,079,911,034,328,729,319,374,521,028,356,353,308,
372,187,583,235,193,935,460,817,987,954,697,949,271,228,292,597,921,711,855,
293,289,239,070,048,300,362,164,353,081,767,841,058,503,112,232,221,329,362,
990,774,779,014,135,633,502,127,015,462,984,289,333,200,792,786,407,323,091,
745,354,052,737,892,668,837,890,547,980,850,008,812,583,960,752,537,608,706,
709,015,334,791,915,352,968,587,238,530,582,039,164,762,078,575,241,386,847,
098,194,825,108,372,569,599,120,406,644,852,095,469,502,938,403,832,568,357,
845,562,671,827,918,522,024,517,117,385,152,479,110,163,724,180,608,046,872,
439,677,716,145,063,815,794,366,172,685,482,842,884,813,813,935,009,197,234,
295,265,012,858,568,736,119,727,619,858,923,883,148,981,547,351,244,090,041,
112,261,670,830,325,367,332,514,266,537,820,549,531,166,303,786,520,919,777,
447,442,351,355,990,534,429,644,474,578,856,530,615,742,684,995,186,521,817,
817,214,963,357,234,111,455,308,902,536,720,861,531,358,256,525,843,166,514,
723,702,964,627,166,433,469,255,526,237,419,906,909,319,934,425,027,226,844,
009,490,939,386,011,112,680,726,686,505,878,273,402,748,536,838,307,354,231,
480,009,551,720,274,958,095,492,067,286,214,147,698,357,098,880,143,293,969,
270,028,487,384,489,120,392,444,370,507,716,785,142,470,152,005,366,204,225,
701,977,805,132,441,521,543,951,764,825,117,943,712,557,810,847,261,302,234,
348,175,113,641,862,113,160,791,727,901,390,112,063,267,529,841,355,839,429,
056,535,025,370,929,587,425,701,687,585,101,825,678,872,936,614,070,335,465,
291,550,452,675,332,588,180,306,343,857,496,307,574,051,710,939,198,912,118,
655,063,123,262,987,055,584,496,010,271,377,146,874,818,324,229,870,191,125,
560,861,483,561,182,019,909,506,718,292,356,656,558,916,052,138,057,329,095,
593,900,038,883,709,429,196,419,270,794,796,616,458,735,045,172,942,539,049,
695,490,690,220,922,810,810,716,110,445,310,303,859,399,424,116,241,337,169,
232,947,066,325,763,585,490,623,591,386,703,869,925,717,901,807,907,531,068,
035,688,762,963,999,522,942,870,063,556,219,237,285,231,109,081,749,380,631,
388,330,191,459,611,509,430,996,332,529,017,946,980,786,127,967,427,238,500,
821,663,307,221,342,524,372,418,587,713,112,241,082,829,322,541,505,403,060,
460,400,823,917,110,973,999,526,465,729,968,115,427,417,897,299,721,505,269,
711,748,859,826,897,924,616,358,925,883,423,525,445,777,975,960,371,952,134,
434,172,259,659,913,350,696,212,903,435,435,683,709,570,393,340,457,054,496,
604,934,230,717,305,737,476,145,694,221,804,001,113,341,478,953,005,575,871,
665,784,503,951,340,967,833,559,884,368,915,866,613,525,989,853,279,063,171,
772,919,252,203,235,768,754,650,697,701,268,031,109,192,894,576,073,763,746,
488,088,433,643,010,446,907,711,545,808,488,755,436,351,606,704,385,763,380,
190,265,134,792,415,485,037,930,028,566,985,761,986,395,441,179,277,630,083,
072,169,017,687,128,895,019,584,677,982,961,500,349,078,887,167,308,411,819,
486,120,977,788,961,592,320,710,551,240,202,222,598,057,413,598,682,051,558,
957,824,276,989,022,392,990,134,033,254,882,580,180,083,865,435,542,012,345,
594,090,023,016,192,705,412,449,849,929,956,716,513,578,509,008,324,112,453,
801,836,772,258,205,572,954,777,060,423,134,896,920,303,877,973,688,408,919,
024,987,224,081,864,031,517,819,208,806,132,134,318,847,587,967,116,657,661,
353,590,038,671,389,149,289,778,690,034,599,276,752,124,605,684,620,469,690,
415,784,575,912,473,471,395,359,334,703,140,458,540,955,686,904,278,098,106,
838,107,287,719,907,315,483,837,989,094,344,207,603,972,163,499,818,049,402,
313,616,171,178,272,409,912,792,549,898,892,177,731,183,812,293,191,167,471,
207,092,951,231,889,749,352,175,940,477,748,417,760,929,957,481,641,282,920,
329,445,764,976,402,402,723,402,739,271,182,562,372,125,542,222,092,488,148,
927,460,807,928,592,237,981,074,208,954,884,894,060,178,979,131,984,975,391,
103,372,020,812,917,468,198,362,279,608,599,666,976,957,911,922,128,315,425,
774,239,170,329,852,440,724,314,892,596,203,884,730,341,220,025,056,157,672,
935,024,819,434,031,837,552,653,492,681,768,411,298,244,874,923,748,100,383,
349,123,976,239,878,912,610,791,403,893,858,745,530,036,827,620,440,946,666,
051,610,955,442,500,409,830,613,148,297,668,849,899,201,978,975,019,681,599,
169,820,572,049,486,411,759,807,034,382,961,454,396,403,602,693,400,215,320,
759,590,162,847,827,579,777,924,979,429,604,662,086,877,581,488,974,676,558,
745,158,035,290,231,105,872,066,855,258,484,127,846,937,565,089,197,704,189,
103,920,829,926,093,634,099,449,617,461,405,794,040,134,918,273,038,370,654,
829,027,629,483,108,359,338,013,886,158,304,563,346,838,535,018,669,171,448,
975,395,106,180,841,335,295,970,853,733,584,591,002,835,983,003,225,293,904,
601,672,067,394,010,806,470,785,562,900,423,829,275,906,516,285,543,279,256,
158,991,296,023,103,318,008,325,458,835,619,560,691,144,014,156,769,845,499,
744,716,916,308,397,686,647,015,081,285,578,601,307,071,542,837,543,684,454,
824,250,184,874,775,826,131,924,075,860,903,215,589,913,620,354,189,408,821,
630,280,859,970,636,562,461,808,996,129,068,670,311,471,032,649,082,903,249,
368,917,091,233,270,775,149,921,195,087,986,065,730,400,625,272,451,633,363,
098,538,994,470,033,264,497,524,942,351,346,399,576,202,092,976,592,884,373,
279,611,192,098,973,780,125,192,422,446,929,537,368,380,989,006,611,438,585,
336,587,440,111,612,528,167,303,112,229,919,860,351,038,147,324,541,935,680,
516,397,069,927,847,456,554,131,843,439,469,763,720,406,724,070,065,973,323,
568,905,707,210,193,030,251,252,260,864,396,644,655,954,163,681,957,039,206,
638,298,856,545,974,905,460,489,376,595,061,908,908,142,911,150,046,980,576,
289,826,916,701,516,643,625,097,775,160,975,053,441,511,262,462,489,854,837,
112,870,081,304,129,725,333,378,274,287,439,325,551,606,712,001,510,201,545,
588,022,787,354,679,747,060,418,159,882,593,199,700,028,400,646,141,970,042,
221,626,190,818,111,639,876,417,150,088,246,841,055,155,574,906,795,181,819,
351,986,906,027,821,116,102,761,671,398,407,902,491,688,502,157,602,219,419,
553,679,751,515,967,153,132,071,539,568,157,885,073,898,479,048,526,105,085,
632,866,762,533,793,690,516,080,628,547,487,188,957,282,308,431,740,304,910,
345,231,155,098,938,235,838,403,195,191,003,431,678,970,258,113,969,866,325,
710,892,917,429,826,644,486,749,792,875,418,124,619,626,381,137,647,882,841,
795,952,768,301,066,124,697,511,218,574,995,914,938,331,602,614,466,412,353,
945,459,341,634,151,493,221,157,569,386,661,692,609,931,270,703,663,057,947,
308,865,645,090,443,468,645,942,306,018,084,894,675,056,861,297,934,637,110,
763,885,087,368,423,162,809,335,809,338,177,970,371,807,543,933,695,844,481,
466,472,963,587,969,773,908,669,554,686,541,554,391,413,760,604,091,109,410,
980,299,104,041,671,932,860,675,880,731,760,677,625,522,857,289,557,227,979,
659,830,651,181,469,607,766,316,309,269,018,606,043,065,080,476,735,148,179,
905,079,987,339,041,089,575,968,530,729,443,319,854,889,421,804,684,118,886,
331,383,915,077,242,801,626,623,369,030,040,054,642,898,944,078,243,913,279,
575,259,274,004,071,081,416,439,003,781,123,432,030,563,735,144,040,441,375,
745,673,539,529,255,725,003,911,606,399,211,477,042,223,468,596,802,706,182,
863,631,271,247,343,437,409,888,861,106,052,865,771,236,493,471,951,643,313,
016,381,435,155,761,132,689,552,679,252,327,838,022,380,989,980,535,781,670,
697,476,861,220,554,675,369,726,546,093,433,999,449,435,879,479,632,993,215,
024,647,010,931,725,301,585,844,247,622,034,982,967,064,537,335,772,845,331,
452,410,150,716,265,523,034,146,436,654,156,555,954,968,270,761,943,185,685,
543,371,032,101,323,769,042,098,378,202,120,280,523,499,866,517,100,684,143,
531,057,343,660,882,079,368,751,904,597,265,734,462,287,492,905,911,957,352,
234,532,787,887,105,605,678,823,240,613,651,686,226,295,869,474,111,096,273,
985,133,637,750,861,433,222,280,996,802,882,704,200,046,322,301,335,754,263,
205,176,660,215,124,551,338,559,566,493,724,957,596,075,856,149,207,354,476,
909,067,112,393,266,469,448,647,701,795,658,826,637,217,561,501,193,726,970,
694,926,705,646,529,011,733,849,968,947,098,876,280,100,701,038,934,926,601,
859,881,479,371,366,884,832,597,942,045,158,200,540,754,030,150,254,394,371,
343,490,575,344,423,232,309,803,478,189,577,851,638,886,365,036,879,330,225,
520,022,221,779,446,337,499,623,317,421,041,475,594,729,770,437,903,556,386,
213,103,145,682,014,621,671,891,520,274,915,218,281,281,804,883,667,959,419,
036,462,801,721,434,364,744,071,912,926,799,781,930,297,101,774,950,465,127,
706,160,241,149,878,490,423,922,312,981,810,036,835,785,342,437,478,339,605,
869,281,646,282,025,442,311,779,635,144,890,112,334,173,021,989,697,638,792,
813,752,416,586,298,178,345,690,659,661,256,062,432,097,302,848,113,975,746,
031,619,393,103,586,590,853,608,299,060,933,813,289,574,297,280,365,812,205,
110,313,654,060,637,737,530,223,370,205,248,034,797,882,282,966,173,412,308,
499,726,135,733,381,631,337,766,259,052,268,017,119,520,209,710,844,021,877,
897,328,935,950,862,487,532,376,897,820,440,759,419,798,340,186,540,046,662,
392,927,297,510,778,341,284,317,251,782,494,731,954,207,654,519,566,023,883,
845,396,095,000,536,528,498,976,319,189,689,415,161,068,859,238,655,313,444,
392,218,065,891,859,230,984,512,416,121,044,762,866,235,422,691,895,766,668,
501,466,942,370,452,174,224,003,326,053,507,702,654,171,937,969,448,665,588,
245,540,933,942,972,488,948,093,346,627,336,563,101,646,842,282,136,052,621,
614,491,682,005,728,313,137,858,844,358,964,769,482,481,848,973,962,096,571,
603,616,513,483,571,888,358,967,244,329,684,524,876,362,244,193,701,392,817,
128,805,456,410,427,433,037,479,177,342,238,329,853,440,411,952,566,835,276,
951,372,700,955,476,393,813,894,807,636,521,017,022,133,610,817,275,960,530,
244,218,417,766,402,583,324,443,401,321,430,970,449,016,779,529,092,015,018,
050,048,221,983,225,181,152,759,736,241,763,597,035,093,276,759,860,346,947,
630,172,696,005,178,309,996,742,450,821,176,592,770,314,367,927,222,044,586,
209,217,341,465,717,536,772,350,412,987,093,813,722,428,472,845,651,108,434,
092,210,970,644,045,325,784,098,689,248,810,850,030,578,135,927,161,246,528,
384,044,492,954,061,565,406,196,364,489,137,546,011,481,401,256,362,152,054,
778,008,245,187,636,479,802,342,752,995,088,374,462,039,086,784,671,815,915,
361,930,237,651,768,454,068,836,194,342,372,275,993,544,240,663,955,624,046,
427,726,446,958,632,564,984,169,218,256,411,231,701,261,098,821,231,005,203,
129,834,222,923,638,795,335,384,741,595,467,808,691,480,862,377,111,838,683,
088,520,828,362,806,895,585,060,020,584,131,128,788,325,225,801,181,673,416,
257,666,955,713,276,403,100,436,057,338,689,102,977,284,362,928,875,101,807,
606,467,020,772,500,929,668,690,212,934,261,178,247,760,922,179,289,651,842,
125,675,792,514,747,309,819,980,064,412,010,161,020,392,587,108,619,245,786,
396,917,935,104,639,275,552,327,313,160,261,504,609,893,226,774,872,954,356,
292,036,759,096,833,182,155,001,984,300,594,240,932,041,827,294,114,490,181,
108,681,383,498,433,539,894,158,676,265,678,182,590,508,495,878,771,339,000,
795,673,972,338,755,055,810,457,380,927,841,931,995,596,422,401,942,456,906,
949,901,767,605,278,356,860,434,630,344,991,832,902,883,732,699,467,991,060,
332,301,193,303,317,153,362,850,756,863,081,327,715,821,772,653,722,557,216,
576,547,296,122,278,297,541,713,795,388,988,746,481,000,851,624,839,488,080,
955,897,304,708,308,589,083,430,099,917,278,527,461,850,249,154,640,856,153,
174,801,649,933,507,657,160,286,326,779,110,425,525,464,249,028,237,199,449,
267,583,193,977,737,777,470,526,539,988,462,430,830,124,349,410,408,877,240,
245,010,795,449,950,547,843,850,478,040,800,155,788,085,225,794,172,967,764,
790,909,768,675,981,466,632,290,157,086,637,258,022,280,015,255,526,245,182,
771,611,702,597,342,438,026,591,743,556,732,462,406,597,421,152,375,755,615,
849,156,733,425,889,738,053,553,898,101,082,093,651,735,356,757,916,328,631,
350,950,648,217,008,652,784,988,188,145,139,604,723,330,797,306,130,133,561,
454,442,416,185,966,250,239,975,809,282,482,102,654,632,169,335,120,529,305,
111,401,530,031,146,949,844,815,714,795,645,565,126,371,667,356,573,227,387,
927,905,163,094,553,926,540,699,766,994,778,993,441,820,756,038,657,300,984,
860,311,413,847,759,741,986,711,899,451,001,317,790,914,719,003,070,959,101,
138,013,818,841,559,734,175,221,398,037,120,529,841,075,870,455,054,180,418,
966,841,747,373,669,449,122,214,915,430,627,048,858,736,334,257,835,774,965,
387,399,540,621,847,938,983,634,177,399,243,620,598,199,484,299,911,303,259,
023,970,943,347,889,427,320,875,913,242,724,659,164,541,905,880,771,428,258,
232,436,846,483,151,375,745,976,903,572,230,751,803,767,012,655,979,445,920,
646,518,172,622,956,799,993,637,368,128,039,353,498,370,040,354,612,231,216,
561,493,172,656,478,128,594,245,455,944,579,379,384,434,570,934,081,895,312,
371,660,897,471,151,771,488,846,346,048,328,541,292,055,860,169,958,677,099,
316,678,834,314,862,594,228,278,490,784,296,670,054,542,316,571,771,958,921,
422,384,183,022,900,842,006,802,835,265,479,367,091,070,606,947,886,695,458,
059,279,532,419,696,210,468,432,851,138,831,918,721,562,127,547,579,049,812,
551,802,758,214,519,192,556,840,401,770,195,769,658,015,767,632,974,076,046,
374,946,433,912,467,274,219,491,958,702,855,561,799,021,125,807,764,642,560,
970,985,235,273,014,860,883,536,413,985,036,788,954,733,822,167,935,434,922,
281,023,496,510,959,437,164,918,815,723,177,732,375,043,162,348,035,625,986,
375,112,384,396,282,832,058,393,628,062,936,830,978,011,951,188,476,934,058,
086,045,253,877,072,198,398,778,937,986,868,344,621,744,939,994,808,371,768,
280,299,687,641,925,486,855,191,813,399,521,104,631,071,536,507,636,086,992,
822,162,609,310,972,985,658,404,699,234,545,733,831,491,707,179,064,932,408,
002,754,051,007,019,168,459,062,080,100,528,118,382,735,423,118,664,271,662,
410,614,603,214,338,980,210,641,380,196,448,234,765,472,337,047,020,727,470,
981,366,611,549,638,278,430,500,050,228,595,507,489,940,190,246,202,377,934,
456,534,667,280,254,022,544,376,055,320,870,615,936,856,487,347,353,515,507,
152,731,522,013,701,619,862,456,402,458,358,448,962,947,455,636,541,099,710,
673,547,711,431,110,065,273,119,436,403,631,597,786,143,013,160,295,679,400,
657,705,996,429,843,488,253,364,227,531,364,369,139,877,610,392,487,515,743,
369,265,225,173,049,298,982,195,313,148,399,160,177,877,034,137,634,354,320,
590,714,991,505,687,181,266,888,171,217,975,085,932,766,648,983,901,387,444,
235,350,776,625,422,838,619,423,291,914,792,506,614,822,821,458,477,625,349,
774,295,387,117,891,866,762,246,421,618,345,441,661,798,371,895,699,523,081,
266,041,744,655,101,103,278,431,623,474,795,808,856,294,922,840,431,679,095,
052,191,960,727,774,316,331,619,421,455,516,307,982,087,694,502,510,698,189,
772,939,671,689,254,610,278,035,976,828,026,512,844,274,718,682,853,648,777,
661,183,768,422,520,210,037,351,537,042,285,093,837,866,007,426,541,776,622,
638,509,516,187,081,378,994,645,600,875,810,395,552,753,196,935,338,861,067,
983,293,410,384,443,770,338,293,408,604,573,395,452,156,991,194,445,065,111,
641,280,877,174,942,715,980,611,164,593,936,006,850,886,056,409,266,699,615,
202,736,620,224,078,481,840,579,304,101,236,510,550,259,274,805,880,681,506,
916,999,003,300,873,066,682,535,795,537,159,239,552,537,845,510,844,907,154,
417,234,537,338,228,274,085,838,747,998,596,219,873,675,482,322,904,626,063,
130,898,910,311,280,516,918,516,260,600,461,024,384,736,826,487,564,226,406,
831,778,059,655,682,227,661,225,222,568,493,166,729,941,491,005,189,271,095,
198,859,176,777,388,417,144,659,354,383,217,147,768,757,546,702,042,708,063,
198,407,303,875,198,501,433,041,649,839,085,633,849,192,822,931,397,595,610,
941,034,581,144,145,306,328,869,044,659,587,708,579,917,889,897,612,762,593,
048,400,073,214,223,118,792,994,978,689,459,364,175,040,502,745,651,913,861,
384,330,551,152,855,432,580,702,718,946,522,748,305,060,726,575,644,796,426,
703,275,323,658,956,812,283,780,830,676,268,213,932,639,077,019,342,286,208,
435,127,755,175,604,993,961,145,079,207,416,575,691,622,971,563,661,422,913,
657,765,597,015,591,278,514,946,474,287,865,356,174,552,267,594,225,685,791,
038,844,621,711,320,381,205,389,273,474,432,810,657,103,913,701,816,618,603,
985,307,857,405,248,149,705,724,494,904,500,112,270,728,501,176,959,220,440,
252,089,336,666,984,179,766,145,675,667,628,341,101,510,334,830,304,693,302,
987,982,303,260,937,230,540,127,229,193,302,562,004,561,177,101,932,011,883,
253,885,008,198,723,966,528,546,881,218,664,056,747,588,725,200,675,029,565,
475,491,666,237,153,292,134,473,159,058,390,074,201,971,557,160,834,175,865,
356,205,854,026,968,712,164,003,243,714,865,646,706,225,123,200,959,577,466,
171,712,793,883,288,962,366,204,285,998,363,398,106,107,717,744,228,341,842,
512,234,782,960,108,333,395,425,056,073,782,835,756,521,315,104,407,641,820,
980,757,838,935,197,200,205,239,702,157,816,536,674,200,909,562,055,006,230,
699,253,229,189,459,046,126,033,061,385,419,239,533,197,938,290,097,670,397,
339,461,406,210,262,322,270,210,409,669,472,152,725,595,397,962,458,332,604,
975,689,413,826,233,314,904,028,679,429,638,057,868,401,248,670,253,938,594,
643,617,666,744,506,235,431,765,595,257,745,947,226,648,911,814,868,716,558,
354,767,472,353,830,218,882,080,593,252,604,274,356,946,735,690,137,134,770,
584,764,537,604,657,228,032,324,870,011,305,394,189,711,575,110,415,477,188,
804,884,796,667,024,052,254,101,168,052,614,067,468,153,118,196,311,158,864,
819,565,726,523,071,594,932,030,222,563,120,945,365,142,162,066,999,039,300,
159,360,631,509,408,048,483,608,315,634,131,559,588,616,427,131,923,076,861,
834,912,314,891,714,885,211,343,538,630,651,603,987,668,968,933,951,395,812,
709,147,149,022,977,335,633,949,357,517,331,855,058,246,265,300,949,404,968,
586,867,648,562,959,539,308,833,648,563,771,491,314,672,107,847,963,050,261,
224,311,461,060,298,796,490,194,274,051,473,862,709,091,083,805,189,369,375,
789,248,212,002,453,929,559,733,305,657,364,070,716,062,209,307,675,885,866,
900,143,423,532,139,252,248,159,114,584,301,156,054,154,124,413,807,864,928,
999,515,381,353,594,129,952,426,814,570,910,984,882,810,852,882,552,070,097,
861,400,823,425,924,966,269,766,848,237,738,114,257,911,154,256,105,640,964,
774,784,768,385,198,497,164,677,240,748,845,619,152,686,337,680,246,127,206,
418,806,805,628,404,070,436,733,312,702,267,519,402,689,289,851,805,510,499,
783,292,417,378,760,824,993,684,541,430,933,124,745,682,721,658,842,628,944,
182,924,555,621,956,480,855,141,312,343,222,274,898,267,006,989,677,507,015,
650,154,957,064,004,064,735,537,181,793,962,871,398,395,207,475,136,424,268,
623,082,168,282,372,263,442,883,567,370,339,260,833,344,789,350,600,955,776,
206,326,444,389,455,353,641,138,127,240,448,110,781,574,080,554,124,189,219,
768,405,661,785,768,960,566,528,224,202,278,037,213,796,076,636,607,209,449,
862,831,222,571,093,591,745,359,557,245,676,011,398,717,003,767,810,562,380,
116,302,672,173,273,331,771,312,733,393,585,752,480,290,703,464,261,421,767,
857,606,566,594,827,619,006,764,611,453,860,871,697,274,065,676,819,481,220,
747,570,733,069,533,406,033,687,131,851,457,727,705,347,836,401,643,384,288,
170,626,161,514,762,660,417,536,479,262,347,170,116,908,201,133,994,615,345,
775,930,348,807,995,696,263,939,861,104,665,287,714,415,065,027,058,919,463,
437,206,331,234,882,156,521,764,705,134,793,425,390,793,908,642,248,624,650,
820,981,543,202,542,890,535,188,481,367,230,224,674,140,159,621,823,042,241,
748,925,627,621,589,599,235,970,305,133,252,019,595,937,498,888,858,830,751,
116,342,853,083,162,131,275,389,847,188,665,368,329,025,047,597,917,353,333,
357,238,199,010,115,932,456,853,356,389,135,000,139,187,969,737,312,027,235,
490,308,427,292,441,285,161,411,253,145,259,963,003,391,185,507,789,028,246,
263,418,026,819,571,840,977,790,167,550,907,587,704,443,580,833,922,955,453,
124,281,513,685,362,555,071,811,246,451,402,664,682,772,841,228,980,134,123,
868,582,333,736,895,541,896,548,890,590,980,071,181,857,265,816,391,864,993,
326,751,382,169,278,904,369,705,993,156,866,022,506,643,144,630,994,891,567,
911,524,662,909,538,184,377,280,279,396,077,344,916,665,057,989,376,380,649,
575,906,539,563,647,234,404,102,171,441,432,065,485,447,342,626,349,402,520,
572,147,513,674,265,499,648,035,266,286,482,267,092,188,407,595,512,427,406,
574,319,707,922,225,464,946,804,583,140,002,340,265,157,022,196,304,127,319,
614,921,926,466,989,111,243,083,152,849,863,149,716,985,926,244,815,974,024,
306,549,539,725,992,583,846,393,368,697,148,577,720,923,133,672,673,887,665,
050,948,042,945,409,910,972,873,071,397,743,251,680,187,176,178,297,210,935,
990,967,350,418,261,870,038,704,590,899,396,040,077,718,134,986,289,876,376,
749,488,439,844,853,984,783,394,200,943,437,076,228,310,152,261,704,980,078,
348,160,477,437,686,536,318,369,306,869,140,375,189,416,695,982,728,358,902,
004,488,976,808,108,162,720,905,945,261,916,224,709,053,447,615,424,448,980,
477,354,064,540,022,280,645,647,221,436,637,001,049,835,526,142,223,516,688,
699,556,418,285,509,155,100,353,289,891,012,589,700,270,272,920,690,192,558,
877,806,948,264,251,063,994,849,408,173,048,356,359,831,317,534,288,841,867,
096,923,400,909,098,410,519,381,602,584,177,709,521,476,549,414,245,529,653,
093,050,096,710,707,580,071,671,613,413,799,676,220,661,717,193,387,510,630,
150,857,107,425,590,381,905,444,949,197,623,562,174,024,873,497,510,044,854,
016,983,758,227,412,652,622,694,015,026,789,145,243,856,970,986,569,365,055,
965,591,315,405,102,406,099,322,079,352,701,375,729,278,915,696,049,370,426,
416,033,286,588,875,352,769,032,411,653,206,073,229,608,407,005,935,158,716,
331,364,255,603,530,749,577,225,165,398,597,937,337,556,318,623,019,456,963,
474,224,491,113,076,131,784,637,400,402,204,420,769,422,781,328,123,433,178,
473,639,495,464,969,461,988,911,983,093,390,119,905,646,643,438,826,513,031,
667,634,206,196,678,077,264,951,282,018,619,617,178,506,412,428,776,412,270,
140,270,478,718,362,180,436,249,359,944,731,854,259,652,492,422,626,038,595,
229,836,320,363,372,920,184,439,056,560,239,045,334,219,658,106,478,095,130,
163,381,989,023,831,678,480,693,606,367,874,522,545,830,825,492,226,854,391,
385,699,189,623,763,663,676,360,174,205,147,295,241,658,224,786,201,417,031,
309,701,238,688,145,482,708,647,740,195,221,976,388,239,702,551,884,801,771,
303,879,202,834,196,769,210,072,364,717,885,164,705,224,284,511,804,531,213,
325,580,468,915,694,978,946,128,776,555,140,379,243,026,166,886,298,275,455,
966,415,297,698,494,765,600,422,435,266,004,560,017,413,903,881,052,665,498,
373,927,380,964,791,853,668,374,770,220,531,192,631,497,075,434,489,704,727,
223,292,096,357,024,932,559,710,061,736,985,961,008,547,335,867,450,865,066,
688,305,643,181,353,544,479,612,370,035,379,182,870,937,032,325,528,963,270,
303,952,605,815,610,121,922,299,550,718,536,769,724,615,713,273,735,679,523,
694,986,814,944,608,909,083,450,941,219,391,116,497,288,225,472,054,149,250,
217,995,204,309,479,925,220,595,711,161,489,562,650,807,517,391,315,920,475,
981,160,334,758,199,652,396,211,987,988,156,779,739,397,802,351,977,112,515,
110,533,999,375,230,279,906,720,596,409,098,373,877,731,670,045,974,910,161,
613,880,285,010,946,667,050,264,819,187,927,596,063,362,501,959,730,647,807,
055,443,738,957,805,615,679,095,079,333,308,284,714,776,669,527,733,424,463,
718,611,383,342,400,915,435,264,643,880,796,958,071,318,761,869,309,456,198,
565,616,977,075,094,111,830,064,470,767,583,209,599,618,943,558,556,168,570,
245,756,075,169,060,219,607,397,306,806,239,366,195,744,855,154,331,504,591,
686,971,435,683,342,582,920,620,246,727,326,411,563,890,263,718,132,071,318,
833,643,224,392,188,008,453,612,898,385,196,775,494,646,930,454,459,017,315,
629,917,649,442,889,325,435,640,197,865,429,216,118,733,780,036,113,076,480,
195,012,393,062,011,787,372,666,381,956,483,394,505,030,464,420,214,213,124,
738,727,186,255,336,904,336,043,286,502,942,709,691,644,750,647,185,426,949,
658,916,221,356,072,099,469,075,610,442,052,681,483,943,662,009,865,075,741,
975,981,967,041,520,919,600,832,324,852,067,921,573,254,973,059,422,458,232,
967,357,302,584,016,603,187,319,695,303,879,362,623,272,553,770,804,737,773,
873,582,720,971,033,625,819,552,864,646,414,228,985,761,387,693,760,738,125,
207,731,078,949,690,896,603,027,914,853,891,878,695,024,417,814,123,001,908,
488,795,806,221,902,845,072,159,688,329,728,686,997,676,217,161,908,838,059,
583,117,523,220,368,106,612,283,174,009,360,323,801,804,912,886,596,025,712,
188,655,663,297,409,200,774,095,631,890,732,933,231,979,434,343,051,407,439,
317,376,055,211,582,600,928,637,518,977,010,575,462,327,061,913,443,528,131,
678,933,666,327,964,992,236,369,026,846,458,711,159,708,038,551,698,091,745,
352,632,890,396,521,283,225,921,578,636,852,434,295,435,747,379,566,094,358,
202,824,620,032,307,536,939,403,270,614,206,578,472,275,114,245,079,362,113,
669,331,642,698,301,631,583,789,417,384,796,801,015,288,783,371,043,183,349,
341,782,685,360,861,868,754,977,533,803,986,836,917,125,500,882,956,425,245,
732,777,431,795,097,902,283,396,671,828,733,595,500,705,325,626,044,849,145,
313,020,294,672,038,933,532,979,872,269,182,671,551,338,547,812,287,597,492,
324,872,871,755,006,007,694,323,608,931,770,953,538,912,917,108,052,383,579,
715,371,819,426,844,644,377,384,439,642,879,717,563,348,446,803,225,756,903,
747,322,189,341,379,227,247,792,750,139,731,552,693,109,004,163,366,235,624,
173,178,015,054,847,273,540,250,710,437,538,439,104,206,837,224,953,080,294,
538,927,125,003,803,664,251,151,350,090,058,097,672,752,132,296,444,874,820,
299,749,976,377,153,017,574,307,146,589,940,772,523,257,646,452,629,602,930,
806,720,570,308,988,672,637,166,698,308,645,839,748,608,892,310,690,020,263,
734,114,081,800,826,426,465,268,669,499,986,108,057,847,222,695,639,359,791,
096,739,168,407,771,212,216,369,868,278,711,462,068,790,433,380,325,785,057,
249,500,211,370,695,106,610,172,604,958,806,891,397,596,553,264,899,061,903,
976,308,423,007,381,124,107,951,895,836,201,384,084,778,741,803,370,316,171,
281,582,975,395,891,145,002,109,267,700,018,124,886,461,534,658,452,095,922,
452,380,533,861,086,605,074,400,198,504,213,712,233,394,840,119,821,241,279,
199,453,856,642,403,361,383,236,759,219,548,206,319,034,351,641,071,946,482,
739,449,742,609,276,796,772,652,331,550,174,531,048,814,523,855,675,436,062,
604,643,161,660,476,760,659,436,191,728,321,992,565,378,788,208,371,122,972,
449,518,471,256,884,914,805,645,298,298,031,409,092,380,687,670,089,222,214,
227,229,039,771,923,881,210,914,588,055,404,063,633,453,562,581,669,642,161,
378,756,172,946,335,280,301,285,895,049,132,324,991,222,680,983,818,396,985,
355,359,127,722,869,844,000,006,471,891,459,407,308,019,674,718,230,087,900,
687,470,462,605,992,972,870,944,720,414,375,865,319,282,472,668,567,398,463,
657,537,356,504,913,255,874,973,315,798,907,269,253,637,675,725,295,443,468,
552,599,512,732,546,773,561,540,689,918,121,697,540,175,355,658,669,779,012,
966,362,990,248,575,132,938,559,844,687,478,969,673,989,136,671,620,018,064,
794,661,963,162,814,507,920,543,366,392,215,477,776,937,133,149,683,696,604,
018,370,242,797,633,179,196,832,521,508,922,524,899,072,777,155,744,433,619,
100,537,994,715,787,282,341,624,143,370,857,952,066,104,847,880,852,319,043,
506,797,688,662,940,547,898,495,905,542,297,909,017,970,668,379,548,690,936,
127,317,794,424,271,663,111,300,123,874,854,168,736,176,986,469,800,223,215,
879,759,530,044,354,211,797,800,027,243,291,000,623,594,407,920,768,225,883,
183,060,545,059,807,621,541,707,312,909,531,027,083,796,606,102,306,338,547,
560,243,403,296,290,632,781,089,721,283,081,635,976,846,925,453,905,483,695,
900,069,772,528,108,281,806,955,642,288,894,178,157,217,743,782,635,072,517,
972,632,273,611,716,976,072,568,427,992,305,704,218,041,241,515,931,349,831,
365,222,119,222,969,593,943,746,943,330,190,313,463,218,192,750,326,852,164,
755,991,036,133,338,633,208,636,620,160,009,639,193,298,391,806,207,443,799,
391,944,253,253,389,638,118,273,557,274,284,618,065,232,055,056,673,653,940,
008,023,057,399,186,163,046,588,390,668,608,925,471,499,846,379,348,281,694,
348,676,277,510,026,360,692,650,383,376,370,792,689,466,264,430,258,694,789,
482,962,821,171,059,348,597,829,688,023,055,540,961,962,977,290,453,499,058,
042,162,970,928,991,806,039,092,925,282,980,819,142,584,548,565,504,053,623,
204,014,040,673,467,031,212,036,725,882,962,494,436,952,378,541,434,871,806,
987,257,331,878,063,294,981,690,203,168,445,038,702,044,405,481,793,231,688,
996,317,215,214,103,986,797,591,753,482,106,208,063,944,604,754,078,987,884,
651,866,915,791,673,673,523,527,753,150,525,140,997,548,185,095,872,153,927,
426,499,086,570,904,321,131,589,043,404,992,172,835,085,994,096,558,282,739,
424,819,470,231,065,684,626,454,972,111,486,188,390,318,245,165,351,230,597,
636,488,862,960,885,432,901,084,855,479,267,355,563,475,661,384,261,545,205,
112,621,394,012,227,390,362,737,838,254,785,517,787,949,435,002,933,347,303,
185,266,324,141,939,265,842,866,526,835,899,406,845,196,323,073,723,760,973,
759,506,053,031,737,430,114,936,709,923,308,288,389,372,058,048,922,719,253,
632,401,005,253,821,132,123,935,897,998,120,273,044,881,354,636,617,640,648,
993,388,446,730,983,315,527,715,053,098,018,805,954,846,170,913,788,976,982,
083,317,378,641,969,951,100,040,220,230,197,028,277,567,088,230,270,442,791,
716,461,831,266,180,871,448,726,882,326,379,475,519,476,239,039,117,012,454,
904,417,958,994,074,930,020,994,576,853,900,917,043,830,303,039,177,743,874,
045,035,098,415,308,167,456,796,398,777,707,143,395,306,344,006,489,667,031,
727,216,661,596,224,597,264,855,750,124,638,770,815,099,971,887,696,647,665,
732,677,158,576,622,421,799,678,382,575,402,196,403,176,242,622,609,628,573,
777,624,386,447,896,642,558,263,020,630,561,551,752,953,034,174,585,553,800,
779,898,436,676,773,463,120,494,310,416,057,348,728,179,319,087,981,350,855,
872,736,798,375,218,158,408,414,411,447,859,662,540,041,937,975,915,735,340,
879,726,378,932,660,165,766,066,792,640,416,160,820,741,048,317,141,422,399,
098,167,752,613,837,438,912,667,124,135,267,815,331,142,818,276,564,869,805,
846,899,778,053,122,034,402,829,296,977,262,392,588,546,457,195,802,870,437,
396,819,402,144,373,273,410,708,258,159,349,929,123,523,042,782,566,305,040,
350,574,123,288,470,873,940,694,003,981,909,341,762,740,778,627,575,865,418,
638,335,863,721,100,632,162,087,971,463,239,190,353,778,026,944,943,923,960,
055,535,635,698,740,314,880,178,116,365,699,878,129,828,648,709,316,965,859,
035,264,180,650,554,770,482,328,185,229,822,128,036,866,209,367,227,079,598,
366,321,630,416,850,363,925,924,509,869,120,920,185,468,103,898,956,491,289,
865,913,210,806,189,796,041,573,913,454,654,502,713,485,271,846,896,762,739,
069,690,856,440,085,801,639,439,520,317,358,409,770,685,394,893,540,080,681,
251,322,731,604,388,864,814,539,873,900,080,845,367,578,868,470,994,513,229,
880,867,562,338,915,619,609,235,421,937,171,875,789,873,431,677,119,938,158,
494,683,542,053,726,675,142,278,431,113,676,519,689,555,892,965,025,908,234,
441,671,700,636,514,707,927,061,426,226,864,890,195,792,733,700,821,051,454,
174,267,573,347,345,077,525,045,889,601,655,869,993,004,745,068,509,301,701,
543,401,813,631,007,292,901,341,810,955,296,488,165,306,317,287,521,646,261,
911,091,854,955,721,860,051,591,720,130,004,814,174,305,271,276,761,129,427,
405,187,642,980,070,351,719,777,254,702,127,814,333,466,351,690,704,173,334,
408,298,145,644,617,407,555,042,096,919,336,966,576,602,129,004,734,428,185,
249,794,487,909,211,769,043,621,134,952,862,538,909,656,230,305,171,975,161,
653,915,647,270,951,095,567,377,473,659,099,154,566,713,685,157,269,558,330,
434,628,534,943,746,712,265,987,920,439,285,870,250,507,415,304,499,208,947,
594,148,788,868,373,822,958,137,394,538,020,917,199,274,523,228,581,216,523,
910,617,966,645,841,312,369,774,536,442,038,631,758,016,981,474,278,518,361,
388,403,759,645,293,014,984,146,175,097,977,817,343,714,371,180,116,648,616,
270,666,401,726,773,821,545,096,543,506,225,306,670,948,442,139,106,692,898,
339,885,656,876,662,065,763,373,051,537,584,746,005,402,898,683,136,447,608,
510,860,351,890,891,534,356,716,771,407,089,483,730,126,636,929,519,814,041,
233,075,941,471,254,089,800,660,784,185,797,735,965,088,069,965,340,698,924,
543,414,886,231,825,713,066,765,100,811,781,712,930,650,418,336,038,707,140,
764,211,640,304,262,332,393,195,801,681,639,340,386,493,439,712,183,051,664,
631,748,384,810,095,728,187,767,532,012,185,216,531,819,522,257,188,042,320,
680,407,115,355,999,540,924,850,218,495,346,690,966,046,652,786,907,034,366,
669,355,040,832,780,348,109,032,476,804,732,188,458,334,124,057,801,492,762,
866,935,406,515,175,372,145,695,677,316,122,829,922,466,522,161,623,453,436,
715,172,854,258,421,177,326,912,182,384,286,163,422,768,101,368,150,028,180,
540,034,464,999,934,525,935,356,202,547,840,106,992,364,101,340,813,473,141,
691,425,856,645,403,617,114,736,729,717,726,931,445,612,457,142,709,465,507,
146,692,635,928,603,333,377,740,139,689,356,212,896,512,774,672,835,145,529,
177,721,328,701,650,377,529,137,945,830,032,295,564,006,950,190,293,494,716,
409,817,506,131,649,531,819,447,032,720,405,560,400,087,777,468,311,605,285,
433,373,126,854,168,531,396,705,925,612,261,790,184,338,160,594,029,232,282,
607,968,267,258,968,679,197,351,670,354,749,314,456,578,940,334,916,367,751,
044,823,118,296,412,713,144,222,852,673,798,928,757,403,950,216,868,985,338,
237,958,386,473,569,694,702,365,371,081,355,747,885,135,045,519,508,696,583,
554,387,892,935,341,097,950,885,342,798,905,527,446,166,656,980,523,028,182,
223,959,347,707,962,473,053,708,210,175,047,856,031,791,464,582,081,043,182,
514,923,757,974,883,399,936,712,576,035,979,222,727,039,879,591,637,081,634,
211,583,078,720,633,134,477,995,691,865,418,507,925,227,004,741,213,263,576,
075,960,740,815,012,747,657,062,337,131,298,155,407,283,944,406,348,939,588,
055,738,238,729,072,592,374,956,036,522,115,466,074,060,785,595,048,510,801,
435,304,984,903,749,146,207,478,844,238,873,914,299,003,104,753,504,148,068,
855,234,030,901,052,291,719,803,388,072,161,999,306,313,144,799,229,065,989,
813,826,620,190,917,775,477,934,968,983,679,172,990,327,642,573,164,425,455,
326,306,695,068,344,908,255,437,573,381,269,323,422,467,439,943,669,255,484,
777,546,868,498,500,036,937,757,957,623,968,118,224,578,189,926,066,824,716,
710,657,914,384,473,344,980,091,510,240,556,273,139,842,031,084,316,036,803,
023,655,654,348,346,642,287,961,053,751,166,874,431,437,784,248,021,836,979,
868,975,782,266,322,685,020,361,884,775,643,896,798,306,624,171,932,604,126,
684,532,786,126,720,081,605,535,081,599,415,496,668,544,132,998,231,639,385,
102,527,690,293,377,754,761,541,362,736,911,996,315,465,356,891,355,269,292,
651,146,886,289,074,685,220,345,745,689,278,904,909,452,016,854,223,264,365,
782,958,833,757,682,245,157,223,932,782,469,139,190,345,404,110,485,229,882,
859,897,912,938,546,192,026,942,412,018,592,455,404,338,619,600,338,430,888,
763,627,451,618,060,747,393,174,925,322,826,575,982,431,887,215,128,349,065,
420,116,733,807,276,047,613,416,664,207,638,287,907,203,994,781,487,884,923,
938,724,296,632,786,094,472,549,512,538,461,189,456,981,307,286,877,008,171,
085,981,808,564,286,797,791,640,427,490,920,735,099,984,698,647,512,813,541,
258,619,478,153,437,204,385,117,910,851,990,677,341,506,686,868,405,129,307,
867,636,433,297,707,228,065,469,115,265,497,901,983,006,249,028,126,354,483,
933,954,152,873,475,276,693,264,379,375,841,225,131,651,450,480,318,250,099,
855,055,901,867,706,707,002,164,963,112,535,274,897,317,547,989,833,795,037,
827,596,833,372,140,432,398,430,329,557,708,435,608,083,302,627,348,808,700,
279,034,744,645,103,601,770,731,225,911,699,957,408,196,530,610,610,261,778,
876,471,413,243,539,701,870,364,121,766,896,600,244,990,613,678,247,098,109,
734,548,465,600,225,113,545,876,255,219,852,004,461,681,946,543,985,660,996,
475,492,241,857,236,354,342,668,580,746,074,500,158,349,312,458,659,088,412,
669,440,303,893,910,660,793,331,096,841,194,909,270,762,647,546,727,117,810,
821,186,091,110,571,491,550,681,406,869,683,526,563,185,136,322,903,904,405,
090,140,052,448,106,345,922,147,069,874,777,389,318,155,137,622,648,746,700,
239,760,001,080,612,736,599,319,443,551,452,869,662,690,953,393,368,028,343,
396,004,506,463,112,181,654,976,511,292,388,493,356,579,755,744,264,016,562,
441,174,910,305,745,220,401,027,362,667,484,397,324,721,083,379,073,224,248,
922,254,394,643,267,890,770,928,541,567,426,595,358,364,696,669,777,520,030,
458,725,814,679,727,683,810,300,462,459,559,673,406,037,087,830,460,973,678,
077,018,040,629,728,616,997,379,510,143,466,252,569,152,031,637,615,829,340,
984,597,923,644,385,028,481,408,746,521,748,668,479,989,906,416,359,751,508,
720,200,677,448,566,161,057,280,375,494,948,409,805,503,597,348,836,455,103,
935,538,188,762,456,705,176,511,076,408,288,725,526,023,380,166,614,950,623,
709,078,514,454,869,474,649,208,883,392,036,550,862,807,721,295,644,729,292,
024,928,229,959,108,550,590,162,665,777,190,067,099,053,638,326,063,503,216,
649,645,656,257,943,603,205,432,820,372,318,661,518,549,264,000,741,024,389,
755,346,883,976,305,901,701,836,790,889,117,703,680,799,570,827,676,305,270,
703,639,683,662,286,922,746,254,710,206,144,966,925,574,763,012,317,741,181,
073,210,277,769,160,768,292,803,373,049,903,944,913,864,599,158,814,748,031,
568,640,089,810,382,765,653,529,215,180,809,984,193,732,399,195,666,484,724,
520,966,279,423,830,815,611,872,559,440,673,682,441,399,121,734,578,495,418,
232,756,531,072,619,827,427,609,405,077,363,886,876,572,819,723,954,149,045,
207,527,236,517,036,969,373,885,154,634,097,225,431,227,745,759,723,205,251,
389,773,354,375,708,113,411,739,269,688,234,402,395,782,680,887,268,879,137,
373,601,696,788,620,092,864,893,751,339,772,517,780,841,583,835,172,084,027,
175,408,528,042,297,738,601,994,459,674,261,980,104,277,579,722,632,502,848,
354,633,860,252,876,971,188,833,570,597,063,548,468,177,675,187,749,677,642,
427,206,322,907,878,846,501,852,096,765,240,042,994,742,705,555,593,396,215,
512,179,008,398,143,633,272,187,375,789,200,649,125,996,484,675,738,031,464,
442,289,915,679,534,940,494,832,747,858,578,933,881,170,515,659,091,806,613,
560,023,028,014,702,161,025,880,717,877,598,861,859,156,092,255,473,735,235,
701,381,908,783,276,001,795,652,749,432,212,705,940,844,624,285,302,784,015,
507,856,446,808,114,893,617,691,603,451,275,349,209,016,387,274,866,919,265,
427,093,998,105,944,317,797,789,733,995,172,988,623,094,814,246,247,250,938,
776,369,538,799,968,945,442,711,240,502,012,180,094,786,174,026,404,512,424,
720,437,961,823,348,294,272,573,990,437,002,962,970,790,869,574,667,928,849,
477,917,442,592,446,794,822,766,413,323,951,182,626,909,415,592,328,656,597,
145,875,188,435,138,673,241,687,272,271,701,544,747,594,535,123,598,179,325,
699,923,434,861,288,546,885,056,825,421,411,195,888,682,221,075,390,216,570,
099,631,014,839,699,672,385,772,410,346,711,058,947,099,761,940,782,678,403,
699,969,765,618,262,820,242,766,946,446,740,002,338,619,067,089,022,473,151,
765,276,708,943,404,074,726,080,921,885,644,166,452,299,447,855,203,538,920,
871,238,514,969,850,221,115,860,611,081,131,179,238,671,583,397,934,462,984,
187,429,605,161,814,397,383,803,099,699,101,834,855,083,293,843,751,297,918,
550,119,607,869,121,094,232,229,503,612,687,720,473,953,733,226,150,146,791,
422,168,413,061,947,094,934,533,902,619,818,616,200,942,661,751,190,480,958,
731,871,288,297,047,984,275,159,730,816,955,763,387,436,733,391,396,394,630,
507,091,766,037,012,199,507,675,320,607,080,225,920,755,364,593,314,145,862,
614,095,495,878,802,538,404,422,472,088,379,156,492,227,169,470,339,829,142,
006,258,281,964,425,049,727,328,142,294,727,153,767,020,141,455,719,289,348,
878,829,349,520,827,234,604,532,459,370,218,891,203,391,559,199,874,227,633,
497,032,283,659,531,977,897,283,444,247,780,660,495,892,284,546,754,929,165,
915,421,253,800,755,841,692,833,919,542,811,134,567,564,163,274,388,478,700,
017,942,611,465,344,103,603,072,053,169,182,345,416,919,012,961,934,879,405,
867,258,921,535,463,747,726,707,467,933,895,383,611,030,228,627,312,584,305,
698,727,920,438,670,453,478,228,366,930,089,946,745,308,269,755,484,585,167,
481,543,228,834,347,960,940,622,789,392,014,220,159,522,689,404,019,460,210,
743,338,545,160,156,143,615,884,233,860,832,014,828,556,218,637,173,440,732,
298,585,367,923,273,083,873,882,970,870,801,193,991,078,524,938,647,532,246,
767,149,001,304,346,117,132,573,962,177,547,310,020,835,541,589,670,089,221,
948,174,718,380,183,898,552,070,715,316,697,958,597,921,331,301,791,229,107,
995,264,096,409,558,498,346,065,277,752,218,829,884,196,007,741,825,934,784,
374,947,246,955,915,816,261,394,216,130,628,565,974,670,188,004,209,561,171,
384,177,817,432,401,775,200,990,981,441,793,349,709,346,524,848,829,040,149,
373,961,136,573,822,634,610,670,793,053,520,591,961,358,161,460,746,394,533,
320,925,246,481,793,838,328,877,971,278,003,170,311,029,352,435,117,630,729,
618,173,986,693,750,864,520,830,016,285,081,395,393,421,563,152,797,813,995,
139,165,188,446,641,725,573,442,961,725,027,348,667,379,580,700,804,940,515,
963,984,680,005,471,799,886,411,377,424,217,382,303,999,333,070,217,584,944,
948,337,145,456,701,885,420,941,482,127,672,758,369,104,886,208,623,334,874,
207,399,647,980,497,158,088,522,295,690,081,273,037,972,638,670,998,394,623,
843,538,000,943,416,456,009,432,544,390,766,552,726,887,180,946,038,290,476,
458,885,720,993,256,513,285,194,539,237,621,410,766,200,209,534,884,993,408,
363,913,482,821,609,457,773,561,873,293,555,476,909,377,615,551,846,298,537,
322,707,689,682,217,895,082,882,239,396,886,317,508,196,839,224,888,879,370,
489,824,907,298,850,199,635,965,490,192,494,913,922,800,815,135,549,447,085,
532,107,565,907,550,183,655,276,426,606,958,992,099,629,164,971,858,268,754,
831,779,218,533,008,249,144,875,621,444,419,099,905,096,831,698,951,601,508,
712,633,281,975,749,133,735,624,377,916,254,081,513,536,842,227,154,293,769,
427,357,928,435,549,291,260,022,926,245,832,692,046,948,417,594,791,167,489,
920,003,657,900,322,875,027,913,163,585,178,317,907,529,620,258,417,292,763,
255,685,063,608,469,058,549,817,905,678,456,933,948,731,316,962,300,856,232,
307,894,059,893,089,961,726,071,498,000,649,371,044,713,130,224,721,041,428,
151,085,478,836,885,808,377,519,012,880,567,320,008,464,903,457,320,973,135,
431,433,713,770,824,315,290,509,698,419,130,394,869,100,724,178,150,126,773,
414,593,627,532,923,408,646,549,761,029,953,182,684,460,714,265,794,691,999,
352,577,489,339,941,952,898,684,325,529,399,448,414,584,644,796,771,635,420,
793,529,549,547,898,519,787,211,722,694,726,872,987,358,561,180,043,467,249,
752,579,924,329,105,786,129,686,570,377,755,929,189,567,130,779,505,651,219,
256,738,493,880,622,163,873,290,580,883,494,295,240,015,584,659,105,315,557,
668,075,822,860,174,692,150,765,213,421,891,237,683,110,282,501,633,281,104,
705,806,600,437,033,634,381,440,303,168,192,067,227,745,107,532,467,847,140,
977,158,452,165,980,100,661,432,124,990,203,851,002,088,771,833,068,816,832,
773,162,147,164,535,374,845,627,041,352,645,454,813,487,546,265,107,225,049,
099,480,184,130,474,731,186,693,138,778,288,289,036,688,334,687,507,896,555,
589,756,816,020,419,832,421,327,674,903,230,770,854,293,014,441,344,226,984,
232,691,647,657,432,949,026,135,608,985,560,578,939,390,944,848,182,185,594,
675,062,338,717,763,994,437,098,296,639,239,936,552,169,707,224,725,547,305,
599,609,457,936,228,741,478,194,840,192,336,838,622,742,888,931,798,885,951,
302,218,354,812,885,497,459,046,929,346,606,530,443,297,744,585,556,672,063,
757,417,260,419,926,591,337,726,544,421,226,762,432,207,696,069,102,597,551,
567,967,206,831,546,266,139,405,265,272,946,284,116,811,690,236,385,247,288,
907,099,454,888,956,896,721,237,069,238,211,983,037,460,920,898,067,403,295,
495,520,725,940,239,646,464,980,439,751,081,228,802,670,051,365,447,552,092,
028,886,189,803,058,745,335,816,304,492,075,741,834,307,503,865,391,143,050,
933,235,950,700,396,957,129,777,414,411,786,502,753,030,573,741,141,643,554,
879,137,666,106,789,948,198,980,194,710,035,518,649,571,841,153,076,891,478,
865,622,099,629,642,919,875,763,707,842,252,090,336,680,702,244,404,770,353,
968,690,703,684,530,219,873,794,513,167,117,216,594,816,858,448,410,177,051,
169,733,798,507,407,351,414,132,319,296,837,273,464,547,215,566,095,426,583,
984,668,879,871,336,606,729,503,197,975,438,322,416,889,074,064,633,701,426,
484,845,860,987,794,259,680,378,877,467,498,189,713,136,826,405,800,002,706,
880,639,694,044,183,067,755,735,016,989,720,276,393,503,859,991,515,074,879,
176,447,879,488,102,678,349,691,822,724,557,370,842,849,150,939,632,015,446,
878,660,456,947,016,282,239,672,569,856,127,240,929,384,726,072,136,753,336,
147,195,390,069,556,444,059,224,766,946,957,601,998,526,931,695,241,040,757,
090,053,808,246,179,975,457,964,484,412,979,818,804,033,207,095,658,493,512,
024,681,544,272,101,603,790,269,890,279,394,087,829,191,953,112,036,779,386,
296,582,649,170,564,182,097,890,294,361,989,424,799,495,328,746,266,414,383,
652,246,437,805,607,084,877,220,090,185,572,181,286,004,150,122,390,680,380,
296,299,304,637,615,872,582,049,959,071,475,605,568,687,342,908,300,055,683,
538,308,540,181,474,582,460,244,978,593,949,182,960,241,598,459,869,578,997,
999,262,898,044,950,755,427,119,928,582,823,434,748,781,612,586,481,831,640,
569,530,611,999,656,808,318,968,739,714,369,081,700,105,056,552,847,357,215,
779,591,507,302,444,066,200,822,100,578,170,087,895,169,459,495,771,754,016,
613,644,688,211,380,329,233,305,793,988,944,150,437,208,490,838,088,137,724,
057,663,052,749,503,700,788,642,339,433,354,993,483,834,710,921,831,439,308,
587,927,467,933,429,715,648,642,665,559,318,559,417,695,567,834,569,637,080,
620,449,756,880,711,628,831,192,892,360,985,473,937,304,242,222,010,175,636,
229,767,618,454,317,455,880,330,844,645,308,114,824,158,773,575,771,291,468,
451,408,801,665,241,105,819,517,261,219,138,423,611,528,664,150,068,623,365,
246,820,491,362,017,156,160,352,800,577,885,080,830,649,409,417,977,772,657,
875,814,075,844,506,029,036,458,948,175,952,800,565,238,804,515,153,435,988,
715,062,240,523,774,915,703,914,736,481,821,553,263,048,327,140,811,365,574,
516,794,846,128,418,225,818,814,987,362,322,776,519,996,544,060,462,081,723,
491,991,195,388,789,808,677,141,467,490,511,531,437,271,258,706,592,867,592,
360,243,597,833,386,851,334,079,734,485,456,307,511,717,462,434,927,783,838,
748,438,738,709,249,826,850,686,263,363,718,132,588,646,965,903,239,964,989,
489,872,469,607,190,826,314,297,340,784,713,737,133,392,133,641,090,702,450,
567,102,745,579,536,151,039,749,048,342,136,047,573,647,710,580,970,253,978,
942,210,926,211,848,306,928,510,430,172,916,455,694,650,213,446,139,976,053,
943,768,710,433,074,234,567,849,009,008,777,488,232,609,609,578,585,101,156,
205,431,583,110,494,770,272,998,229,664,912,272,416,868,142,678,844,491,725,
503,158,147,859,511,693,743,549,981,626,681,242,717,075,520,863,760,382,026,
492,208,502,332,515,970,976,942,719,976,550,924,703,872,059,743,172,452,591,
222,021,156,942,524,626,433,498,010,388,971,230,572,059,694,317,637,340,280,
654,247,478,299,614,091,457,319,230,983,381,301,695,676,819,496,460,548,439,
030,341,197,899,393,252,450,112,927,909,284,253,242,515,046,630,967,844,004,
325,686,498,364,441,280,428,124,419,153,587,442,202,722,011,076,276,019,377,
365,235,630,953,776,459,525,946,934,382,696,145,393,201,228,184,193,999,621,
904,363,476,251,767,598,995,012,868,298,321,916,795,986,501,319,961,286,682,
283,688,708,831,023,010,178,834,547,552,960,575,561,566,740,837,633,838,444,
033,970,682,917,881,980,619,440,416,724,696,635,165,409,360,031,248,484,510,
958,696,328,096,618,076,344,034,448,780,572,479,370,455,199,487,201,497,111,
556,016,940,019,891,939,115,392,089,145,722,496,203,071,264,083,327,362,913,
258,189,181,603,234,194,178,432,668,020,835,813,351,605,442,865,397,850,042,
992,639,322,146,490,862,732,338,636,719,286,769,187,493,706,600,720,063,683,
310,716,284,701,745,388,940,883,069,018,073,247,907,747,381,922,887,395,843,
348,362,197,279,530,728,655,793,511,127,144,977,224,958,916,680,123,011,451,
634,996,342,035,981,222,539,709,068,432,566,676,619,070,551,592,004,382,784,
144,441,025,507,061,740,135,674,512,727,931,443,904,419,457,780,650,498,803,
617,756,889,792,243,978,441,772,570,734,122,634,333,076,617,083,406,713,625,
728,800,792,672,700,572,371,245,715,263,447,965,080,224,615,228,240,561,555,
727,755,461,169,681,485,424,091,402,676,926,090,021,015,221,140,568,573,030,
571,908,327,550,385,027,516,468,804,509,719,377,493,780,033,789,546,704,456,
419,866,219,766,300,730,398,066,987,907,188,899,211,473,575,744,933,975,013,
965,318,268,576,000,463,892,988,029,962,718,356,233,359,703,510,140,516,089,
895,445,134,039,903,358,731,027,471,877,353,199,309,330,173,303,804,763,300,
454,492,163,356,522,416,501,153,900,518,204,894,986,901,463,332,981,440,162,
199,939,114,534,546,671,915,000,769,143,990,218,227,653,318,214,029,348,392,
742,683,532,980,833,203,256,166,324,961,029,253,249,175,480,629,676,377,309,
400,372,626,610,308,288,420,835,787,854,886,766,618,103,341,599,148,662,776,
446,136,020,547,312,102,581,398,448,912,308,045,492,109,646,427,593,289,640,
810,825,460,620,597,155,309,502,159,566,738,319,393,211,845,150,324,876,048,
487,481,361,255,967,096,958,612,411,107,819,243,668,427,745,287,754,307,796,
774,588,730,938,060,014,746,783,339,087,538,760,727,823,267,588,591,186,403,
847,866,503,961,461,679,868,392,779,020,761,809,433,018,474,629,107,079,419,
752,826,989,777,682,652,650,363,692,750,938,335,460,420,522,180,786,913,770,
197,367,863,439,113,132,555,542,651,767,692,734,939,487,922,258,832,014,655,
084,626,020,813,079,688,562,073,760,193,898,125,736,888,814,584,571,840,446,
344,266,897,591,705,886,021,272,135,665,929,680,270,759,981,184,718,545,094,
053,852,194,548,034,025,973,166,346,408,277,455,613,457,548,165,621,988,421,
996,034,493,346,719,724,514,889,281,875,750,056,966,348,747,808,940,682,242,
146,279,367,911,365,882,684,443,396,981,395,237,989,560,486,289,200,104,450,
751,365,269,484,335,996,585,044,859,987,698,872,604,605,730,347,615,036,527,
802,849,038,189,164,345,346,170,922,259,757,864,898,353,621,134,237,681,941,
052,534,647,153,794,563,928,081,082,113,848,648,665,180,074,337,005,881,925,
465,095,057,635,684,886,331,118,560,635,635,260,584,093,712,955,591,296,573,
583,793,213,460,658,311,710,507,932,884,655,830,389,443,219,977,063,122,695,
162,648,074,611,935,054,444,894,029,676,024,027,571,769,737,502,396,375,837,
871,800,581,606,091,297,284,369,717,263,156,616,710,326,447,947,437,330,464,
602,954,913,475,617,453,476,135,613,901,219,851,048,649,683,286,163,815,017,
837,995,958,555,640,490,263,193,191,378,664,667,687,615,584,984,924,860,952,
275,138,124,030,751,023,777,045,905,630,298,499,290,462,873,886,079,662,972,
385,647,261,578,666,670,320,210,924,316,608,287,097,951,530,952,982,689,127,
136,279,888,904,526,991,181,900,673,791,015,366,120,143,744,220,601,434,720,
388,739,232,153,210,953,646,668,768,132,208,556,555,785,345,963,310,995,677,
848,250,249,001,098,171,644,264,319,947,588,460,550,885,956,420,029,775,562,
247,939,152,190,198,414,368,853,524,492,604,180,849,829,929,879,242,448,452,
845,143,990,975,871,090,614,661,808,063,226,995,401,011,011,416,437,561,428,
541,001,137,920,541,850,083,990,582,592,826,513,727,181,116,042,497,071,126,
602,884,615,932,781,352,499,353,304,081,910,015,790,214,964,923,401,788,724,
047,348,623,143,887,038,097,769,337,532,039,544,206,635,279,634,787,214,602,
064,784,122,761,645,463,834,367,831,963,754,766,603,200,505,776,491,679,192,
007,458,310,273,641,273,907,436,336,521,402,650,990,117,982,873,867,895,697,
306,557,109,527,971,726,825,814,440,924,958,554,166,563,103,958,711,158,274,
140,444,785,135,721,501,066,334,455,093,503,682,291,253,845,001,793,335,655,
627,389,890,475,110,419,608,635,411,508,329,260,251,293,711,848,119,045,434,
161,741,319,548,744,328,735,545,209,231,553,055,440,358,064,928,524,387,512,
496,888,283,239,937,844,177,185,101,096,140,352,350,986,469,880,399,675,160,
855,886,678,778,145,911,327,709,415,284,328,092,449,393,847,752,260,867,233,
445,069,561,973,458,507,646,764,758,693,731,544,394,437,953,305,081,590,276,
376,810,488,157,750,910,336,791,761,393,866,822,330,155,446,900,715,343,613,
392,967,001,830,600,106,126,677,846,012,831,570,097,468,972,010,919,365,199,
766,158,843,515,172,821,898,949,363,896,910,898,833,862,532,356,806,519,639,
056,888,456,830,078,683,882,320,979,632,531,700,402,720,718,837,877,417,153,
432,558,886,336,862,923,028,006,792,891,937,667,085,987,346,529,329,080,050,
504,078,121,754,124,052,170,201,360,498,043,716,867,508,019,346,325,800,401,
592,298,323,571,061,018,415,100,295,228,814,823,255,362,466,859,274,173,309,
867,710,707,969,100,668,433,642,629,177,153,660,342,959,584,707,847,980,581,
220,169,633,174,607,397,754,172,122,348,300,465,477,892,862,936,758,848,898,
052,453,135,405,153,207,969,533,408,786,122,094,198,501,506,302,810,704,833,
975,785,280,209,333,593,220,718,836,076,579,077,034,291,260,735,805,649,244,
333,200,190,642,449,322,273,807,163,662,915,316,920,366,545,960,392,713,102,
665,062,155,344,322,420,082,436,718,780,857,249,908,058,903,277,851,559,012,
116,069,780,655,745,301,720,291,184,353,642,861,112,979,504,347,818,540,652,
783,369,546,456,634,098,535,728,931,155,874,340,550,855,240,907,390,187,413,
065,788,823,910,710,284,965,359,336,710,020,999,977,450,424,941,972,324,137,
904,524,357,671,480,384,681,020,181,275,184,062,162,121,146,266,548,476,443,
141,002,117,843,453,012,081,505,161,313,591,023,818,969,530,453,534,385,724,
389,915,937,848,903,730,362,351,065,009,662,128,651,044,142,489,802,727,529,
619,950,111,850,408,028,428,143,825,849,834,829,114,694,495,882,753,151,850,
733,513,570,530,003,763,887,634,810,403,317,747,692,035,793,230,485,650,497,
193,184,420,283,534,019,588,050,592,674,673,223,727,832,478,149,093,950,550,
723,748,522,092,553,391,707,467,095,033,165,778,468,149,278,189,821,717,334,
087,516,307,556,559,243,209,368,683,695,130,822,040,902,097,898,229,353,548,
609,111,880,394,575,929,394,679,080,976,519,369,164,504,408,027,593,234,777,
839,780,567,730,125,170,218,565,434,667,552,441,216,135,052,965,606,312,776,
802,854,004,413,577,202,321,444,846,151,735,017,899,955,686,631,435,329,894,
178,099,824,271,474,345,553,075,628,235,757,376,556,810,546,333,778,887,216,
671,969,053,828,692,307,092,483,093,322,559,449,739,064,193,766,823,355,946,
926,498,162,764,780,890,831,734,359,462,519,225,028,387,514,460,448,058,557,
772,867,997,552,368,728,299,087,442,701,529,848,393,103,262,815,635,822,376,
642,889,531,189,082,754,683,547,688,644,714,095,131,382,534,295,564,528,406,
103,624,534,598,554,604,321,671,868,417,742,673,811,613,952,824,855,080,098,
995,314,809,941,735,217,295,754,985,864,380,264,730,773,463,638,034,680,344,
521,230,629,686,008,006,605,490,896,167,771,104,067,862,957,489,276,547,257,
942,368,110,973,365,201,798,296,171,200,206,998,400,348,891,851,574,860,043,
841,486,763,006,394,940,801,198,608,140,276,278,415,340,662,419,817,313,321,
645,663,708,329,528,451,269,120,258,823,864,060,412,469,716,875,643,576,147,
644,306,379,630,400,581,612,609,194,076,251,917,107,401,829,872,456,171,800,
503,061,911,377,888,356,613,137,337,984,202,580,891,374,967,734,118,229,656,
829,362,222,857,830,914,034,513,984,717,019,443,501,918,950,192,225,658,328,
538,139,279,542,278,517,455,475,502,240,920,977,828,669,318,082,199,705,969,
400,125,253,435,608,192,367,892,968,846,618,042,942,865,827,867,922,583,620,
169,690,708,749,731,629,761,060,057,191,175,635,235,451,204,535,465,988,704,
621,959,028,026,234,373,719,815,146,162,571,569,714,026,259,654,939,839,402,
529,070,824,995,683,624,742,048,006,021,701,223,201,539,013,559,408,415,031,
568,317,815,860,778,750,338,907,412,745,083,444,693,374,676,740,878,844,773,
706,643,987,612,974,541,087,642,248,354,813,302,684,392,407,267,501,523,882,
281,064,704,200,793,553,750,490,685,458,023,500,904,614,008,563,930,143,120,
104,091,297,167,648,895,495,953,019,645,633,321,102,008,509,398,846,317,838,
451,627,796,484,598,963,537,763,706,381,307,424,790,782,095,941,224,154,807,
572,694,454,171,596,698,593,379,406,350,957,052,019,029,288,790,719,028,069,
986,413,275,020,875,307,015,759,816,196,694,902,084,970,428,065,061,816,590,
212,008,223,166,839,654,084,961,754,829,977,125,239,341,703,297,137,825,696,
374,557,611,889,089,405,763,740,757,643,713,773,315,721,210,225,430,086,406,
632,414,164,045,784,488,652,240,432,025,532,116,628,602,819,781,148,140,873,
877,935,564,030,798,179,041,798,972,411,740,049,607,531,391,452,537,885,687,
424,179,364,547,883,005,462,710,174,028,070,579,317,099,716,274,323,767,232,
147,768,211,000,592,255,484,476,557,629,509,853,081,674,721,758,006,809,677,
754,753,457,922,455,562,666,738,714,270,087,956,460,300,452,047,740,438,131,
563,839,183,628,862,126,346,782,938,071,517,558,357,157,361,479,255,597,745,
586,428,562,761,460,577,894,470,592,726,225,930,650,494,523,139,075,954,407,
335,942,064,069,131,769,304,128,955,144,217,435,463,830,464,993,707,249,157,
961,639,680,043,243,379,820,869,870,990,832,650,019,647,948,330,422,098,289,
389,505,110,865,351,287,785,257,482,317,240,294,619,269,507,626,499,570,084,
673,118,591,216,105,018,826,218,169,517,594,654,265,697,865,859,488,528,818,
951,727,984,650,434,594,520,508,662,018,625,974,214,894,262,927,934,415,253,
259,834,747,551,582,653,817,705,511,277,537,425,140,223,797,478,928,747,640,
942,041,608,258,857,677,702,641,859,406,311,640,040,158,359,194,732,274,446,
904,850,262,935,303,688,680,057,069,510,919,806,794,313,687,087,202,520,689,
171,306,050,141,464,808,100,071,693,623,476,829,898,527,705,913,166,798,589,
164,540,809,009,515,023,015,574,970,208,400,393,167,380,497,234,058,011,539,
529,046,932,743,153,857,743,535,340,116,547,103,757,464,178,732,743,989,062,
516,470,141,509,462,754,704,520,469,681,196,396,427,613,016,676,094,843,884,
035,177,921,654,499,830,430,845,615,107,208,901,954,516,898,098,260,784,537,
134,996,374,796,036,641,966,327,194,731,418,329,764,474,824,951,260,300,861,
575,281,214,338,304,646,100,086,684,154,830,355,640,041,540,125,528,742,334,
903,961,074,176,394,976,123,485,784,274,609,506,134,011,053,903,232,908,834,
673,244,569,752,038,451,096,647,940,525,567,119,359,850,371,725,322,290,720,
741,234,501,575,912,007,968,344,375,616,745,577,924,204,085,435,865,401,150,
648,882,389,458,260,665,169,220,009,240,065,006,446,489,459,842,704,806,706,
034,109,836,603,063,276,665,852,519,006,674,057,231,983,983,121,798,631,744,
965,114,953,688,172,123,790,474,189,815,565,026,524,373,861,603,071,204,355,
247,483,578,841,802,638,013,147,071,718,904,995,691,357,602,944,838,104,950,
002,312,030,748,932,707,579,161,975,183,731,313,629,339,202,651,971,334,461,
841,364,343,301,574,915,204,577,235,847,046,112,240,247,155,745,215,109,394,
895,759,735,364,522,532,417,140,846,103,722,565,323,272,532,785,701,727,905,
056,313,102,120,009,769,735,701,747,380,003,186,699,967,937,221,139,059,031,
614,345,026,085,062,756,434,218,286,711,336,960,590,524,799,631,625,922,204,
703,823,740,691,547,540,887,661,810,329,122,184,779,368,902,392,458,272,231,
582,769,762,255,194,323,656,792,283,458,886,294,574,428,335,225,000,748,321,
873,104,960,982,587,908,020,631,614,951,857,747,862,723,028,340,012,769,869,
276,039,197,045,954,202,181,233,191,007,210,882,536,172,283,765,201,456,734,
956,406,749,516,991,791,820,478,745,702,700,068,224,220,868,176,748,338,657,
299,006,535,281,980,316,650,017,076,847,782,036,897,720,941,111,979,731,905,
669,118,545,217,913,473,481,405,673,958,392,994,020,560,848,042,524,130,409,
362,740,587,773,792,620,482,315,818,413,665,007,212,208,284,552,326,099,389,
585,832,537,825,240,079,733,583,261,720,885,360,384,766,995,300,837,379,269,
476,950,746,988,195,749,939,064,058,662,527,875,765,077,572,864,450,520,871,
968,177,029,869,165,596,223,516,973,471,125,239,517,249,057,807,078,128,595,
136,443,432,593,196,968,108,974,824,479,961,327,996,444,947,100,705,123,044,
717,690,858,148,339,622,593,981,239,344,339,226,117,819,035,528,614,994,633,
482,664,237,876,957,254,320,774,170,757,116,847,439,429,562,527,620,684,214,
419,776,187,829,967,410,228,916,456,526,500,532,733,072,621,470,725,533,614,
845,889,685,102,385,385,454,707,236,576,474,921,326,496,790,817,892,955,746,
370,482,448,458,904,203,955,866,646,822,742,979,357,606,021,757,979,672,414,
760,503,744,046,850,359,256,784,933,657,237,585,124,249,878,218,791,825,110,
489,119,393,667,089,538,819,416,788,795,760,068,082,521,920,344,907,294,188,
939,593,686,449,707,408,796,090,822,814,322,825,387,507,273,446,942,437,641,
086,263,371,150,001,570,902,678,365,208,721,720,428,399,161,578,970,878,657,
413,453,859,549,439,652,824,421,245,765,393,135,453,762,251,807,089,935,393,
436,800,790,132,333,350,268,240,371,067,777,140,229,338,791,680,921,007,684,
578,089,328,149,419,500,637,660,319,731,015,132,500,575,195,293,462,440,583,
500,982,126,335,484,189,105,235,719,245,488,383,743,125,829,183,275,934,174,
885,931,360,017,962,645,611,473,963,266,035,611,841,625,429,087,455,392,021,
543,807,670,920,396,783,734,089,160,569,351,009,801,290,605,547,240,791,932,
775,429,116,268,173,910,774,051,707,226,239,323,172,713,000,792,363,232,565,
581,795,890,132,353,576,718,857,315,230,247,299,746,909,715,080,784,014,803,
215,094,966,248,897,879,007,504,425,953,526,394,253,017,595,510,450,052,225,
551,962,609,134,555,735,046,839,880,441,559,308,498,471,834,014,713,521,178,
127,820,298,932,107,002,552,438,920,946,511,406,679,597,689,371,728,870,832,
832,576,104,518,568,843,988,260,830,090,545,610,164,602,824,637,653,724,131,
339,603,661,245,391,570,120,620,629,569,131,027,006,115,822,441,140,991,074,
865,295,826,277,339,799,718,230,305,857,685,853,912,273,919,118,695,926,303,
942,291,119,018,295,605,957,515,142,151,048,010,799,020,725,198,529,967,841,
330,875,087,612,227,800,620,214,255,642,252,432,162,730,597,184,416,685,964,
954,075,287,589,240,089,311,105,100,437,872,221,716,923,584,055,401,202,872,
699,238,005,549,668,122,727,261,207,792,555,891,944,193,079,536,165,345,699,
116,350,347,916,806,876,976,071,737,981,162,606,973,158,326,336,254,342,608,
103,621,891,213,348,321,416,238,333,803,533,011,574,557,603,871,175,939,396,
792,959,034,412,330,406,011,273,075,553,728,257,943,904,877,735,760,108,276,
922,202,587,467,089,704,110,936,657,309,205,024,125,332,242,475,247,565,976,
325,089,943,379,936,144,395,754,773,311,803,544,895,160,881,064,887,925,980,
370,132,235,899,795,659,988,693,344,846,958,177,370,018,073,168,307,185,424,
774,813,926,970,486,244,206,159,210,506,451,517,417,002,160,726,673,669,338,
793,946,821,633,636,104,452,890,246,551,140,292,477,949,369,327,811,678,215,
297,187,105,741,473,807,712,309,022,604,696,652,345,016,147,633,457,929,987,
597,994,946,906,553,300,269,007,994,049,222,402,258,433,855,438,079,829,414,
826,162,354,948,777,141,548,218,444,078,109,529,817,903,449,350,836,431,029,
758,322,110,824,865,022,182,255,880,069,896,793,070,298,095,654,578,848,094,
156,682,191,858,560,600,220,137,660,324,007,323,116,064,710,386,465,395,956,
703,633,167,713,296,761,914,843,447,603,599,777,833,079,095,999,590,617,901,
505,006,787,462,879,936,829,275,851,313,284,231,644,254,136,855,850,263,177,
764,286,730,062,471,857,791,425,081,353,211,558,926,395,140,773,979,826,868,
122,683,595,806,267,918,354,155,431,798,028,881,320,920,759,234,255,448,054,
674,828,861,810,768,381,453,881,421,074,328,823,155,630,518,161,076,111,562,
770,591,323,918,504,751,720,353,385,897,832,772,931,780,219,402,748,636,760,
194,429,892,027,779,008,118,503,481,382,488,370,839,834,926,018,383,247,034,
010,547,247,939,455,754,834,132,645,627,507,874,631,566,374,157,575,713,482,
450,444,537,950,086,503,650,596,221,314,354,573,539,798,348,152,356,641,646,
798,054,914,992,222,095,255,723,518,900,441,867,042,437,341,829,173,015,434,
661,966,006,639,941,193,018,537,574,955,320,679,625,933,815,183,905,076,803,
505,324,339,640,129,530,702,920,013,412,036,957,085,172,840,609,087,660,930,
240,053,696,420,373,848,033,689,999,211,275,798,759,007,579,012,995,138,682,
425,296,205,715,617,630,437,447,336,043,521,149,136,102,083,109,196,058,269,
116,461,148,246,461,079,195,735,373,857,557,278,239,116,745,311,119,310,046,
581,589,358,426,953,112,265,290,708,318,347,118,450,279,698,079,188,951,647,
887,699,470,968,643,560,948,719,421,293,816,857,933,411,524,615,124,388,720,
393,098,455,119,265,538,629,978,890,889,266,260,130,920,981,713,113,311,698,
914,428,720,266,560,434,523,680,149,422,459,008,159,800,792,816,075,287,719,
031,729,476,956,991,662,613,123,815,555,301,144,712,584,128,536,988,095,373,
921,470,493,771,841,090,793,926,518,905,403,366,697,212,234,435,996,120,191,
151,612,093,195,521,448,896,157,837,558,532,099,481,431,241,946,836,846,347,
518,581,365,283,252,371,657,734,501,062,026,357,944,710,637,886,484,412,763,
902,764,047,258,620,968,847,103,398,014,134,462,531,633,606,276,448,764,082,
923,669,799,138,825,478,216,200,877,587,749,187,961,715,748,514,726,456,554,
095,986,620,038,732,210,511,952,811,605,825,020,612,167,177,014,998,337,700,
146,114,499,808,588,971,468,208,854,069,509,058,220,019,877,979,380,997,929,
927,889,169,104,871,807,533,409,065,844,539,758,116,487,990,313,963,947,522,
437,952,656,243,481,622,351,053,401,162,221,283,846,354,925,757,955,064,350,
939,529,901,839,177,763,167,687,543,843,950,702,377,587,551,608,144,734,454,
358,953,537,209,339,009,398,801,376,431,302,866,245,496,793,288,561,350,611,
867,448,080,967,359,000,676,092,731,650,587,293,841,759,619,821,223,622,489,
350,220,656,255,044,245,498,616,941,012,400,459,406,889,049,658,078,645,148,
639,150,865,018,932,129,449,628,043,309,015,272,951,028,468,615,482,290,695,
877,710,405,747,408,712,402,111,814,603,557,154,675,668,060,090,881,963,694,
442,374,100,800,846,816,763,979,328,785,642,026,507,615,672,361,294,913,214,
064,222,324,951,018,486,521,161,690,820,645,777,780,371,055,203,635,071,597,
185,666,389,455,971,858,836,758,008,041,786,148,293,656,649,712,703,973,373,
901,163,600,156,142,508,432,063,212,682,889,895,876,095,564,558,526,837,777,
631,176,906,074,924,405,651,287,564,120,530,570,938,946,140,762,710,324,839,
564,863,561,824,951,192,638,609,131,284,717,413,144,287,475,634,268,859,713,
191,819,784,420,773,466,300,943,013,795,966,546,510,832,229,379,909,012,362,
468,232,652,226,231,953,148,239,116,114,856,313,997,325,623,715,229,951,752,
719,155,901,388,615,673,125,980,594,260,047,252,084,425,273,230,859,232,444,
779,633,499,221,065,993,844,717,304,956,050,072,968,945,680,775,157,687,514,
585,140,560,839,059,701,516,575,728,644,914,260,130,684,982,122,754,089,678,
578,515,930,293,006,084,847,967,996,747,849,531,944,691,938,450,810,213,810,
680,860,988,639,038,595,389,461,564,402,196,223,919,130,244,156,350,402,552,
926,219,672,252,231,461,593,768,498,512,872,890,431,418,139,639,136,003,371,
142,311,479,835,301,827,494,524,068,097,068,755,714,397,015,803,401,153,202,
649,317,409,849,056,207,947,058,825,979,676,512,081,086,230,311,421,793,713,
036,888,549,900,695,837,600,154,932,031,969,720,516,969,631,875,841,453,935,
829,209,115,581,326,583,414,047,577,927,310,941,650,554,843,109,863,179,383,
080,613,795,952,759,423,014,438,985,156,014,584,691,976,045,257,332,432,913,
979,699,603,234,025,819,351,092,384,603,974,278,766,810,603,809,240,203,680,
387,902,114,911,736,347,641,678,889,924,440,783,761,787,842,913,839,643,463,
004,781,435,822,656,811,426,771,085,535,849,806,844,677,687,904,779,513,597,
068,428,506,486,777,445,341,955,291,018,062,529,946,422,443,921,868,148,967,
733,069,376,817,667,724,322,207,056,755,716,170,017,568,691,427,898,297,544,
091,470,243,327,151,818,212,432,482,849,515,531,171,623,961,118,556,203,037,
327,563,717,678,755,000,230,108,368,944,101,486,958,455,124,053,661,265,219,
212,300,110,683,379,475,555,426,657,889,635,638,114,884,225,884,948,742,955,
031,828,077,048,942,606,584,548,224,120,927,904,034,952,285,943,091,175,421,
428,951,265,598,548,063,146,056,579,715,851,950,999,220,686,384,302,731,704,
537,529,755,738,295,282,648,119,642,408,211,385,513,145,388,364,535,240,130,
137,279,461,667,804,806,363,194,305,969,482,822,428,246,635,225,005,736,211,
051,304,594,320,900,112,519,471,032,915,454,862,564,167,991,436,269,738,874,
801,308,640,221,378,826,101,031,564,358,712,999,073,304,642,627,456,226,768,
666,566,059,649,131,481,964,980,842,085,214,572,814,064,627,900,838,770,704,
286,521,960,593,253,720,192,549,920,577,341,257,241,779,945,527,071,601,686,
610,736,971,522,804,800,942,311,397,340,789,447,287,454,727,795,928,263,167,
719,086,868,553,792,079,873,969,924,464,661,269,099,049,330,871,981,654,355,
943,955,604,408,326,290,989,496,528,494,580,208,221,456,642,003,498,304,981,
386,965,404,632,700,398,946,165,250,684,127,124,657,736,667,175,235,283,732,
350,670,681,385,307,638,315,829,700,289,890,653,583,154,161,153,338,844,210,
838,567,924,766,070,230,474,695,591,509,416,848,061,819,095,541,142,683,757,
723,354,484,181,198,669,716,330,474,903,779,890,701,478,598,604,446,126,794,
263,686,024,590,747,074,651,921,340,893,837,024,098,588,712,502,583,339,315,
619,427,273,116,094,851,506,870,746,372,960,391,319,297,686,100,345,008,779,
439,830,646,908,316,916,385,112,237,399,525,060,846,569,290,255,348,240,803,
803,375,288,535,171,037,966,122,558,233,825,703,741,454,882,864,519,554,925,
090,102,783,088,972,284,850,842,027,148,902,674,722,362,624,991,888,444,749,
535,090,617,477,712,228,373,418,400,635,618,949,077,607,820,360,432,299,475,
519,433,818,838,204,293,935,353,058,103,556,953,621,056,942,760,491,948,293,
105,214,517,831,099,923,468,078,343,430,673,812,343,688,447,994,471,534,144,
517,173,523,531,816,940,469,324,578,939,360,894,897,442,201,303,414,611,611,
768,069,132,101,564,340,475,538,384,961,190,651,210,521,658,820,417,304,045,
749,036,862,389,248,624,903,653,319,087,797,521,869,210,670,963,232,197,548,
104,883,083,988,964,587,514,220,536,359,573,383,077,505,460,445,243,861,307,
252,769,969,311,454,836,633,692,928,257,292,719,809,463,900,388,890,654,264,
063,727,377,780,737,401,173,930,572,501,488,292,065,065,653,567,334,062,264,
046,746,946,097,862,549,736,310,431,527,829,577,512,435,162,211,645,248,798,
942,997,546,626,332,788,629,137,293,662,390,900,973,820,067,397,244,033,960,
417,551,243,125,316,117,272,790,971,735,063,381,567,537,309,606,929,323,719,
662,890,004,997,908,026,024,363,291,355,413,979,845,415,393,135,935,098,411,
057,801,730,328,067,835,782,836,143,479,359,862,340,594,848,619,544,178,104,
324,962,719,647,256,587,180,374,555,242,829,932,168,792,283,050,578,267,564,
925,557,649,126,524,714,748,592,168,561,558,743,140,119,115,831,197,311,397,
168,672,316,495,185,054,804,163,004,681,674,704,487,828,000,795,691,235,398,
038,283,326,419,305,791,397,033,697,067,045,368,461,019,485,015,990,376,130,
882,019,644,676,646,744,471,875,498,390,652,944,321,379,459,687,944,283,461,
961,361,969,678,191,856,377,455,521,125,148,223,327,921,264,508,808,227,893,
894,354,826,648,006,185,571,143,683,029,948,625,362,995,644,818,985,520,017,
317,353,482,194,257,311,258,894,822,863,113,168,220,321,523,092,528,377,890,
575,984,311,553,098,789,306,527,503,791,896,089,629,014,083,542,141,537,169,
064,960,200,653,738,566,434,246,262,653,055,542,846,965,607,527,082,872,224,
693,044,524,169,437,635,131,882,765,837,068,069,538,496,550,356,370,660,722,
686,101,912,090,191,527,399,394,988,625,513,193,714,056,548,839,621,627,206,
687,873,328,872,293,676,683,685,883,125,217,314,550,073,091,712,502,902,586,
029,891,768,478,185,096,719,081,458,183,904,846,520,282,324,712,397,394,332,
549,310,069,693,490,947,100,003,853,343,758,755,108,838,051,562,269,481,186,
166,008,618,645,030,230,229,764,238,341,344,224,790,202,342,422,042,049,592,
844,382,594,089,104,702,478,733,592,726,290,799,404,054,608,481,083,120,157,
241,887,929,144,726,577,193,492,360,938,741,708,729,354,700,137,002,317,204,
720,140,306,111,452,004,732,165,230,002,712,593,392,903,977,408,045,183,421,
795,966,672,143,894,026,151,676,117,901,092,598,085,892,033,741,477,172,089,
848,822,492,350,970,350,900,499,030,934,225,126,584,744,885,510,822,615,003,
337,713,632,924,032,251,776,768,891,062,669,032,733,426,218,664,152,181,745,
250,223,068,989,939,617,184,158,358,671,778,805,365,761,336,057,356,431,723,
849,859,728,158,455,229,442,934,810,666,091,234,104,796,114,986,921,341,279,
966,681,777,491,066,299,692,149,581,507,013,902,097,173,496,412,325,039,512,
746,493,786,816,497,489,095,999,345,840,213,307,842,916,955,462,006,100,138,
282,615,419,325,437,293,868,047,070,864,849,576,298,951,128,624,989,229,219,
714,816,224,240,386,729,164,875,850,736,600,407,579,584,660,643,098,435,112,
666,179,473,868,018,910,239,894,806,192,495,909,306,830,624,853,502,539,949,
371,877,423,077,332,584,354,982,769,859,424,253,697,951,120,818,400,631,463,
249,379,610,442,794,057,966,113,667,099,730,411,925,627,395,132,442,089,448,
230,674,767,602,945,115,314,483,250,592,818,400,417,441,980,585,018,333,580,
500,261,570,623,717,898,298,731,969,412,825,135,445,657,979,327,351,362,812,
564,987,634,107,601,110,749,599,389,293,805,526,799,194,865,999,103,956,803,
895,898,464,668,253,892,283,036,359,011,882,495,555,679,760,578,070,836,368,
544,400,095,233,263,494,404,948,974,306,907,452,234,024,386,674,423,633,997,
926,369,504,382,480,795,960,738,834,217,958,295,519,212,324,898,331,964,391,
542,963,326,395,282,040,458,119,241,079,466,629,108,116,456,816,963,762,933,
203,397,246,390,339,530,952,266,532,255,058,875,074,272,147,308,256,618,948,
489,584,926,573,254,190,936,602,777,950,373,382,387,036,749,695,431,980,748,
647,247,230,082,534,613,369,081,922,423,936,286,777,657,961,471,921,152,143,
142,499,163,799,240,512,585,274,920,241,080,719,023,323,482,850,212,331,513,
707,642,436,979,053,431,139,024,909,721,414,361,586,015,834,936,019,109,140,
521,045,985,534,405,700,766,790,398,730,999,332,938,400,522,507,210,465,239,
295,860,266,674,958,388,335,975,440,058,255,037,249,118,652,312,627,584,980,
241,960,854,642,450,614,696,484,770,808,217,898,705,623,308,122,686,093,982,
261,815,390,436,919,025,189,151,905,943,624,929,282,488,865,157,092,033,457,
261,199,301,206,965,042,036,287,208,870,854,022,164,588,164,975,490,114,624,
986,102,177,134,921,554,095,023,455,681,416,481,196,209,687,975,582,952,803,
740,475,004,187,083,026,490,590,163,284,235,891,185,714,218,144,534,350,525,
915,368,540,852,087,595,288,808,219,806,861,982,622,844,526,426,508,151,677,
069,219,787,810,966,810,451,251,585,396,713,038,854,412,714,901,990,624,486,
843,268,785,889,649,547,042,881,296,978,741,121,645,020,562,631,747,255,266,
705,427,188,070,734,565,149,235,977,098,436,711,877,595,630,271,142,328,928,
573,830,075,019,962,325,189,425,977,722,995,587,420,452,584,584,690,559,172,
083,043,755,320,103,243,556,938,057,983,096,672,872,459,364,052,503,073,943,
091,169,380,362,368,261,848,198,727,468,359,301,474,234,806,929,315,950,115,
338,955,547,949,339,119,367,433,212,227,742,630,813,438,652,085,083,669,158,
146,205,629,859,080,579,315,504,490,152,460,171,265,069,763,018,627,900,138,
945,443,729,013,824,891,020,319,934,556,393,676,147,318,611,735,792,018,209,
484,030,835,324,922,451,959,727,740,633,257,646,730,726,258,705,353,769,804,
531,527,075,871,019,971,427,319,340,304,916,298,711,451,840,516,611,279,416,
092,267,316,417,143,835,944,560,824,778,213,041,960,085,214,542,137,313,787,
002,154,392,917,040,486,788,096,151,964,992,446,853,792,821,901,874,935,868,
947,138,336,152,764,856,084,228,226,245,952,710,909,126,166,313,478,735,792,
379,073,869,569,535,437,259,073,451,886,660,289,599,361,953,801,279,102,690,
106,498,304,777,798,224,458,351,781,930,221,084,730,559,037,264,657,484,524,
588,795,172,885,330,115,271,049,059,933,030,776,336,724,931,695,672,261,791,
296,572,032,675,331,807,922,465,116,136,946,113,126,579,413,667,881,518,264,
203,554,247,588,942,201,351,090,899,373,807,331,916,038,264,528,642,283,417,
008,935,790,297,631,274,858,294,913,576,735,380,074,525,924,966,345,365,778,
245,211,916,104,531,445,148,848,102,100,512,695,730,024,995,112,765,374,468,
058,326,119,687,455,454,228,046,719,588,550,548,786,331,517,852,452,042,018,
773,096,568,076,607,189,702,594,626,771,466,011,293,504,252,265,078,936,119,
625,605,465,309,114,602,304,569,809,938,512,180,024,269,560,811,000,168,399,
240,662,499,321,324,487,710,429,804,901,729,057,098,624,564,173,336,784,496,
089,047,071,912,739,866,065,043,827,614,563,022,788,632,240,795,656,068,009,
847,342,909,076,256,934,846,510,726,455,675,647,123,304,962,103,580,463,493,
524,494,628,915,216,015,835,147,661,949,621,070,603,134,448,175,217,651,963,
129,360,309,921,503,647,688,351,678,975,947,444,499,113,260,630,298,683,613,
896,759,099,748,339,362,393,182,085,700,214,676,788,503,569,948,652,960,717,
175,619,880,812,981,067,845,112,322,289,528,579,971,531,817,646,282,769,371,
207,644,928,849,654,157,845,816,194,307,711,642,864,190,054,486,601,026,511,
967,023,747,298,196,738,924,215,899,850,769,413,163,892,107,523,455,865,848,
060,304,133,878,103,728,673,166,703,339,040,481,979,909,246,280,753,556,586,
840,741,495,381,251,960,158,435,429,910,932,604,172,552,542,481,118,789,169,
984,976,286,802,451,845,732,434,351,014,675,606,162,252,927,310,840,894,819,
735,119,752,371,141,773,646,405,490,523,550,513,897,441,300,854,907,543,449,
008,217,857,813,989,607,749,001,326,306,756,698,900,115,312,817,274,941,791,
765,509,640,906,019,363,132,670,916,904,214,910,870,668,682,461,087,379,657,
908,846,757,756,829,424,218,652,169,425,587,334,153,721,382,628,141,385,869,
366,684,185,600,380,936,777,308,994,063,722,864,446,916,597,845,805,015,658,
089,442,025,837,201,740,623,479,036,966,882,496,779,986,070,026,270,602,215,
594,298,838,535,490,598,095,492,605,019,623,203,215,208,178,991,700,719,633,
561,584,269,463,771,718,706,586,781,394,001,244,747,956,022,940,958,456,616,
518,148,340,376,406,899,110,257,717,526,315,877,645,214,405,905,066,986,082,
850,699,468,736,029,626,375,422,570,635,335,177,904,217,752,501,800,474,577,
663,117,439,358,859,249,396,630,459,406,572,297,366,348,386,659,613,826,179,
829,274,799,805,496,150,541,376,545,268,084,721,883,242,577,876,311,715,273,
039,676,132,092,021,988,498,553,024,447,554,029,362,446,625,757,210,568,678,
920,080,358,928,113,913,495,405,812,936,758,280,200,054,962,537,978,900,077,
229,977,398,913,695,229,041,741,185,912,149,207,272,548,292,258,550,301,632,
897,174,270,633,304,158,994,313,360,314,589,374,530,127,879,936,746,250,990,
698,085,383,236,075,511,232,916,070,795,555,195,508,032,290,958,937,145,386,
236,720,873,179,214,411,017,330,787,954,271,327,442,787,988,017,955,468,167,
422,561,478,673,241,777,938,860,156,828,823,365,915,787,931,119,604,712,561,
900,201,837,299,930,652,713,225,442,168,912,578,441,762,067,176,318,609,645,
926,024,359,914,822,959,406,596,925,879,300,472,664,610,791,644,626,439,899,
615,420,002,801,704,048,860,425,864,890,536,824,610,906,777,455,799,619,706,
474,430,139,204,423,364,010,044,081,712,201,065,478,483,912,468,004,256,182,
118,455,029,977,267,650,960,508,936,438,589,837,772,201,863,477,812,235,336,
659,320,657,612,098,885,985,373,370,782,688,381,334,142,086,484,588,025,795,
363,357,808,582,469,624,972,053,521,912,563,940,273,573,152,910,038,526,970,
020,634,259,147,444,560,988,235,999,451,537,337,807,954,482,925,552,931,446,
038,420,602,825,211,014,897,521,853,316,858,563,637,981,774,931,395,054,399,
377,240,521,569,965,275,912,304,102,139,605,128,098,864,447,756,624,067,517,
552,297,389,586,087,468,153,671,419,858,041,211,832,165,194,838,059,901,089,
043,644,211,316,208,582,435,756,523,870,993,373,463,193,997,803,273,864,117,
836,359,182,332,483,341,032,849,072,546,892,025,818,030,496,886,161,712,008,
815,941,194,307,098,420,625,924,739,013,238,255,280,123,550,233,271,040,149,
661,124,376,698,363,927,401,314,298,306,478,598,485,749,319,888,296,960,854,
524,931,204,098,145,762,334,636,995,924,612,918,265,002,447,895,691,942,774,
698,456,066,886,686,262,072,946,751,180,638,365,380,386,051,333,550,017,979,
100,415,112,259,166,930,453,037,422,032,822,125,478,640,264,321,782,810,865,
074,098,162,758,373,636,749,124,216,733,110,898,819,482,256,633,141,351,904,
425,082,354,385,780,771,848,359,541,338,062,395,704,316,974,615,205,019,311,
664,660,251,414,021,598,621,065,341,578,164,401,562,518,630,115,521,075,840,
466,940,643,606,226,718,499,477,415,172,330,397,739,929,405,417,743,972,107,
197,757,508,797,240,541,892,186,167,834,805,234,138,232,555,100,564,835,236,
629,505,655,088,840,905,526,080,078,076,411,369,304,641,247,674,854,114,404,
443,471,446,382,511,332,717,881,727,807,479,442,667,046,726,016,628,917,005,
200,683,053,620,439,828,229,536,858,344,659,132,798,140,350,046,538,343,290,
551,211,046,708,696,882,477,895,041,427,307,575,154,645,367,701,940,120,085,
618,810,255,694,545,903,042,143,175,846,971,105,500,111,099,298,406,566,159,
002,676,512,946,336,136,216,955,676,132,035,044,211,275,147,024,958,908,979,
378,259,151,360,086,560,529,310,502,519,274,899,810,522,770,888,158,288,274,
115,370,147,619,666,470,364,037,065,363,871,201,205,015,641,054,770,892,637,
883,902,759,127,774,716,279,936,897,992,772,102,767,855,482,689,478,341,998,
504,002,245,889,507,963,842,148,800,209,629,757,788,973,800,567,098,811,651,
307,585,426,402,359,468,519,294,963,037,567,157,733,858,924,493,102,709,783,
275,354,597,486,214,722,781,002,307,940,357,274,811,745,883,331,828,902,959,
534,046,360,346,968,539,671,670,513,648,846,229,961,942,112,715,130,984,310,
943,996,683,756,817,854,368,279,478,962,300,858,250,549,260,684,293,026,531,
235,916,415,712,473,191,292,603,371,487,067,591,063,141,372,945,233,569,001,
911,112,622,009,584,498,195,359,035,932,013,169,083,464,602,687,781,969,317,
444,868,401,178,611,479,872,762,680,542,190,629,784,705,537,708,419,794,900,
016,644,824,250,632,575,045,141,243,325,405,276,754,219,401,839,352,312,779,
294,459,911,700,932,886,521,735,058,930,405,396,756,334,265,044,684,305,812,
466,297,573,652,804,014,633,512,135,417,989,253,946,941,986,633,203,433,923,
766,036,821,719,886,244,494,965,009,977,350,531,857,412,095,650,957,246,849,
906,886,679,976,838,382,875,180,640,091,262,578,261,222,220,968,411,551,628,
343,624,252,306,281,514,439,632,123,138,103,956,283,462,896,480,844,848,523,
155,132,716,645,314,418,503,261,019,394,120,250,195,022,487,326,338,388,964,
599,776,291,421,306,315,358,999,562,143,825,916,807,065,503,233,170,376,973,
548,712,344,309,576,549,417,856,894,987,019,993,400,385,898,953,023,318,532,
552,045,479,956,368,595,612,418,254,977,547,793,727,631,975,185,366,813,962,
975,478,390,440,105,626,644,826,555,596,857,359,165,190,214,919,412,659,635,
259,665,346,720,430,193,476,309,007,729,583,557,133,270,717,998,704,987,943,
755,520,957,628,430,113,678,570,437,155,618,256,424,761,710,141,575,246,190,
000,262,712,440,448,236,193,226,303,536,286,346,203,029,198,571,086,479,875,
642,410,266,324,574,782,873,372,143,231,288,326,617,767,321,316,807,692,548,
791,475,753,831,743,652,602,076,458,799,298,577,421,785,118,998,666,715,363,
640,546,082,737,508,758,963,980,379,493,923,333,276,176,380,743,863,183,031,
557,856,892,145,098,239,242,067,069,760,809,004,055,729,524,695,723,632,107,
445,158,901,602,201,868,714,451,274,275,926,547,853,690,083,987,179,548,236,
938,799,318,000,703,942,627,921,984,436,725,533,735,144,373,037,508,588,222,
526,652,898,133,933,735,938,658,184,857,296,658,381,592,386,353,840,859,836,
097,930,221,218,680,761,134,014,328,096,942,977,585,161,756,307,114,141,923,
471,682,760,926,087,866,720,890,080,245,467,027,299,555,499,439,197,102,610,
385,580,549,969,996,906,999,647,718,929,840,145,787,705,000,673,106,623,017,
435,358,257,923,201,896,954,482,165,625,620,267,201,092,660,553,898,671,515,
946,960,340,345,903,880,385,303,646,263,444,597,827,204,819,285,002,891,099,
710,334,409,040,863,591,273,771,360,247,467,802,235,206,020,015,078,374,280,
841,323,461,043,897,316,629,073,022,553,547,047,046,107,934,652,663,342,412,
996,804,352,753,794,821,312,480,929,371,110,143,920,455,966,448,382,147,813,
128,046,412,669,223,886,971,245,628,899,252,150,035,718,705,823,040,057,575,
960,401,331,499,650,751,842,614,954,815,615,331,707,037,690,855,326,674,803,
409,505,252,751,294,030,775,865,378,360,901,868,199,333,731,055,648,542,468,
686,559,549,130,490,379,588,090,478,186,377,596,229,509,245,713,730,710,355,
287,882,718,003,242,904,515,104,821,666,246,587,971,670,611,871,167,163,844,
231,725,963,949,826,203,386,932,530,390,975,653,628,390,511,125,195,370,299,
096,962,761,021,310,353,089,798,406,387,618,966,031,913,025,316,199,690,004,
720,423,737,413,335,472,970,617,131,410,266,024,284,985,169,558,270,648,579,
130,455,236,480,201,710,589,666,511,147,135,473,483,870,839,913,477,287,522,
942,397,870,787,518,452,873,660,405,620,707,971,826,852,071,884,812,632,444,
988,584,578,593,449,838,696,024,196,053,374,351,820,281,221,563,434,474,270,
628,692,448,328,402,460,089,466,650,553,150,058,446,807,036,548,038,888,004,
593,911,911,624,068,507,098,004,891,510,009,733,004,522,157,185,189,504,194,
055,353,510,732,918,655,731,108,954,786,713,334,013,103,410,696,055,436,441,
156,758,600,318,548,867,274,487,146,180,900,220,682,317,648,844,563,863,493,
986,622,130,581,813,514,336,439,196,310,207,872,159,324,189,107,595,227,924,
848,027,064,173,529,062,248,893,430,658,965,499,726,642,090,459,609,319,726,
700,807,640,109,727,600,609,332,173,379,811,248,743,988,338,251,493,789,431,
680,883,093,049,105,482,400,804,211,494,725,180,859,894,990,746,818,709,206,
198,152,478,397,404,761,674,793,633,196,298,940,494,503,593,503,999,584,111,
937,960,697,656,558,276,776,334,249,257,266,596,912,397,461,207,060,437,260,
820,110,482,628,319,653,414,519,403,970,296,412,495,916,986,609,465,110,133,
189,838,038,853,289,917,497,162,369,044,730,675,669,948,806,470,566,643,396,
643,426,461,509,051,108,275,620,721,462,649,234,828,899,228,940,881,786,749,
329,919,061,252,837,375,457,424,655,927,048,592,051,476,431,558,511,423,631,
181,296,165,453,138,094,853,500,438,825,172,411,809,346,177,729,429,461,368,
656,948,641,885,152,373,077,202,815,763,272,083,619,341,785,893,644,028,250,
222,535,203,767,774,444,455,060,577,305,569,215,917,420,819,275,495,121,052,
404,660,244,722,473,808,744,933,982,469,082,123,483,255,896,312,746,633,454,
411,864,967,357,629,129,392,262,689,808,138,365,008,734,857,817,515,161,877,
273,737,599,150,643,604,566,415,758,599,322,727,886,916,831,924,676,157,187,
479,517,923,724,121,684,833,977,002,604,279,740,971,963,711,306,409,381,575,
507,780,512,104,268,989,064,613,165,801,322,629,567,424,635,609,408,585,816,
261,864,869,483,200,284,951,422,700,480,372,992,811,786,030,269,780,783,140,
269,752,740,186,129,460,504,625,124,748,229,610,159,907,516,561,312,311,102,
581,064,849,975,848,590,524,527,138,026,462,733,392,133,993,489,739,980,735,
223,141,798,686,670,783,365,922,007,856,529,323,866,703,423,599,820,662,754,
783,350,401,306,866,079,323,860,928,172,988,652,362,846,207,834,515,568,490,
929,457,686,591,024,461,061,990,400,109,568,223,508,233,780,358,982,480,303,
863,772,281,746,937,757,941,728,272,757,811,700,908,817,284,718,436,473,399,
421,581,637,255,976,863,724,517,770,397,420,296,787,718,713,634,970,550,545,
511,275,741,656,648,216,077,001,589,488,269,826,078,513,982,790,782,550,744,
229,549,898,395,327,061,830,046,975,140,506,693,674,679,400,977,741,436,897,
369,215,841,593,854,921,409,399,874,786,574,280,460,325,653,115,698,944,464,
683,543,100,546,638,442,783,456,355,548,562,735,588,157,243,838,520,489,495,
414,849,607,509,305,899,302,065,556,182,264,651,674,063,241,659,071,438,595,
866,900,506,928,128,339,146,646,385,156,116,077,683,817,694,996,336,247,308,
191,816,147,341,517,605,024,067,299,087,579,561,063,381,258,649,199,278,531,
676,399,615,088,662,782,154,093,364,535,907,571,613,910,393,801,408,832,680,
098,599,256,846,101,711,797,806,546,132,414,747,973,650,129,077,102,463,224,
118,210,491,278,492,699,738,667,803,496,773,222,946,970,581,851,076,985,673,
370,728,169,265,419,537,805,104,501,611,257,510,432,548,681,035,506,260,777,
291,351,718,455,522,982,997,898,931,555,502,045,933,006,407,626,882,983,730,
375,354,524,973,673,445,999,680,706,068,179,329,721,013,643,886,842,975,084,
441,206,320,078,860,811,575,252,361,409,155,840,563,978,247,886,388,512,559,
475,328,018,270,948,644,202,647,814,125,328,401,606,134,120,584,956,615,574,
592,008,131,674,079,544,403,406,588,587,574,354,554,459,086,013,350,454,651,
425,385,676,999,308,357,571,919,456,218,457,957,863,808,415,086,311,720,840,
008,612,647,695,118,953,109,388,475,341,852,010,189,336,855,232,177,672,160,
577,222,226,218,705,286,795,293,712,698,414,238,443,703,285,808,427,107,878,
666,388,532,226,963,662,466,685,373,509,693,812,503,441,830,314,897,744,007,
723,378,525,152,265,994,322,002,037,077,348,772,833,716,116,863,505,806,300,
117,684,494,418,217,791,683,925,673,555,294,573,885,420,804,967,825,996,961,
788,359,854,102,598,442,547,987,301,110,012,930,162,326,809,002,461,491,525,
336,987,246,236,794,168,526,719,437,622,965,287,189,495,349,637,928,279,355,
402,588,843,407,231,075,193,233,700,323,652,586,010,508,268,428,102,962,508,
929,628,847,524,135,570,647,022,731,144,116,626,077,692,266,723,227,793,965,
789,587,928,470,572,005,825,054,234,405,001,999,826,077,043,208,700,438,467,
688,953,118,140,989,205,073,139,527,491,826,121,093,844,842,796,178,219,067,
106,630,197,299,725,885,753,309,460,771,690,026,614,984,780,617,060,791,040,
478,105,108,606,944,512,968,468,579,006,694,046,486,568,540,404,564,242,609,
892,491,612,704,571,424,620,595,000,595,361,010,994,634,998,436,488,293,291,
184,093,454,247,281,332,386,280,786,553,045,189,631,021,037,152,286,406,807,
509,821,726,398,574,320,765,087,333,855,556,047,403,567,426,826,833,243,246,
167,993,590,071,170,572,895,897,979,210,346,997,239,667,110,212,854,589,364,
797,039,679,012,412,271,019,547,009,345,233,594,327,779,751,638,190,317,165,
793,435,881,805,504,893,084,352,851,713,167,091,965,520,301,905,267,026,533,
743,277,934,973,400,506,551,401,216,024,050,210,515,336,919,563,980,423,630,
138,961,460,653,352,071,237,180,408,512,407,488,232,810,975,875,792,673,101,
535,871,341,204,475,003,740,622,857,878,808,450,422,656,818,219,564,626,323,
689,103,898,718,568,381,326,755,559,844,855,899,657,963,310,484,802,110,476,
459,157,851,382,283,785,528,238,448,332,898,786,803,645,058,549,214,127,945,
750,016,242,605,792,733,382,419,670,495,306,606,947,069,034,694,050,863,151,
976,724,269,478,622,011,356,581,063,559,799,834,990,639,770,521,676,550,382,
297,924,664,585,219,299,105,513,116,189,816,975,611,809,797,939,008,622,542,
368,060,814,375,862,105,158,733,435,371,512,611,430,805,976,832,344,931,215,
976,763,013,093,993,573,150,065,334,229,040,941,284,977,589,252,136,372,272,
700,750,246,746,827,652,756,947,880,437,374,634,087,756,980,393,748,912,694,
028,200,883,625,225,886,045,689,891,567,804,558,760,318,278,228,512,312,667,
621,268,774,696,988,200,296,220,409,517,341,254,114,854,127,529,815,318,921,
234,459,751,278,086,941,799,008,562,994,281,522,985,474,909,736,478,947,363,
165,796,533,352,415,062,548,235,762,439,309,359,821,094,689,131,030,216,701,
912,859,102,485,868,677,849,577,418,347,585,910,182,478,012,422,325,244,458,
825,104,834,596,107,831,726,896,470,665,902,918,600,185,482,465,371,507,221,
781,713,946,528,921,343,143,478,409,798,862,366,798,193,437,851,675,868,947,
997,727,295,645,638,050,907,274,098,177,737,885,325,999,434,694,877,786,603,
919,175,552,906,372,786,562,550,076,205,855,698,345,815,394,643,427,854,351,
278,252,251,796,327,174,940,081,667,234,845,026,194,307,857,619,876,835,073,
461,149,270,371,548,362,423,290,829,788,594,738,015,277,415,479,209,018,630,
956,441,816,554,574,329,128,747,634,281,404,755,716,805,634,775,232,414,962,
571,940,946,966,324,181,291,852,347,194,517,136,400,211,992,804,211,296,325,
289,999,629,233,097,346,496,533,371,093,343,436,006,779,364,399,339,534,642,
043,858,492,811,054,250,286,517,513,511,974,332,988,715,539,711,678,676,144,
263,581,397,328,342,093,586,642,965,350,807,018,823,720,490,401,275,406,396,
916,072,412,866,222,670,956,805,702,834,401,486,088,320,931,351,854,086,773,
276,258,998,874,285,459,838,386,451,998,443,950,480,679,995,780,555,698,894,
506,834,374,157,581,528,212,466,751,472,150,811,809,374,454,113,052,108,179,
129,571,133,209,396,367,848,018,749,296,844,398,724,630,423,937,914,746,090,
592,395,323,564,097,343,059,735,571,276,167,428,575,247,147,576,601,408,820,
095,317,071,883,376,265,359,330,711,960,412,046,389,023,327,065,642,998,107,
324,552,625,244,614,036,714,602,101,014,907,121,034,037,250,386,164,139,607,
432,492,940,327,597,625,825,689,685,723,653,996,458,244,252,464,546,738,365,
367,502,355,411,885,038,076,317,002,499,872,174,127,395,442,654,906,030,249,
884,684,089,243,687,039,032,099,930,087,812,610,414,793,839,129,571,251,889,
910,264,125,125,843,646,497,548,564,996,016,475,936,062,902,506,778,780,828,
143,965,385,970,561,493,227,518,935,286,123,749,737,196,485,614,192,888,191,
420,078,006,663,161,577,808,907,597,063,305,997,266,208,904,812,317,143,551,
565,865,376,879,928,988,408,006,090,206,974,391,536,422,403,555,450,370,684,
511,878,888,851,117,362,327,002,808,306,678,696,614,546,081,555,027,534,131,
122,960,513,491,858,288,993,088,292,056,322,109,485,338,524,297,545,813,514,
807,436,071,601,365,671,176,988,884,934,265,881,059,388,677,946,608,487,284,
584,858,163,126,525,766,931,455,002,092,583,369,314,011,808,250,516,382,008,
575,782,136,068,841,544,383,613,764,632,949,537,921,991,488,091,686,546,970,
064,336,428,794,208,570,887,089,287,188,147,807,994,510,770,740,503,405,994,
362,606,178,985,675,415,268,589,586,369,793,469,371,026,000,303,060,224,873,
170,193,728,590,327,890,821,369,998,321,884,414,920,747,685,767,381,292,649,
711,951,660,671,162,549,079,065,305,056,048,427,513,335,693,983,556,028,154,
707,130,383,645,641,893,960,435,619,134,030,113,916,119,323,338,786,786,391,
796,857,669,179,322,402,238,657,531,755,938,641,522,754,437,503,059,046,214,
290,697,434,680,387,350,950,955,995,283,798,745,891,108,921,716,713,481,176,
313,763,838,491,283,824,363,157,212,652,538,284,285,126,130,982,047,991,965,
901,068,189,977,419,545,829,410,419,368,582,553,936,720,602,047,203,335,362,
772,351,860,774,468,376,531,386,738,175,370,828,086,676,200,266,372,692,241,
899,497,649,274,296,389,128,347,733,758,669,798,819,013,431,196,047,423,626,
805,517,092,165,213,101,292,383,435,664,242,922,012,455,599,025,401,682,107,
151,883,995,594,071,649,353,820,604,763,051,798,945,608,603,409,758,615,902,
975,397,549,142,208,526,194,624,363,976,853,926,555,666,187,157,819,557,771,
355,425,181,158,695,276,181,981,929,362,378,817,294,222,060,098,382,768,826,
194,503,917,393,707,251,379,592,881,516,155,053,720,640,426,596,777,835,165,
586,461,099,520,692,359,294,872,625,420,591,072,530,544,802,128,772,827,703,
025,103,387,209,197,559,116,334,519,206,960,672,512,305,969,682,585,093,952,
630,809,845,836,554,536,487,296,703,395,586,068,717,965,425,119,915,729,016,
153,267,501,162,646,160,676,767,742,685,096,305,065,472,017,223,595,778,018,
614,682,442,557,100,825,305,710,501,496,969,270,792,485,894,927,380,154,272,
882,996,559,803,070,598,130,197,433,028,815,395,993,388,369,813,582,445,392,
467,648,038,661,653,620,561,680,541,598,366,693,270,768,703,726,563,574,091,
008,809,132,885,794,273,745,103,429,463,497,332,422,546,304,791,827,958,455,
061,240,887,809,756,949,267,567,520,184,749,256,963,672,074,305,933,836,380,
482,645,394,757,356,270,175,617,467,291,044,060,880,500,347,227,824,405,461,
258,785,236,213,571,205,150,469,080,871,878,596,076,648,058,546,384,845,632,
572,320,336,176,592,479,437,847,474,872,063,505,069,701,905,102,481,860,178,
555,732,667,009,390,203,014,466,043,689,989,790,875,363,995,899,999,278,099,
785,709,629,776,065,457,074,921,315,111,700,390,567,919,910,605,145,265,563,
516,129,633,858,214,139,599,986,471,647,074,891,639,232,416,312,277,702,660,
868,555,659,589,396,716,783,923,118,545,483,425,308,216,442,779,129,200,383,
552,958,823,093,244,620,626,178,223,365,334,146,258,003,698,064,774,810,777,
032,544,987,538,611,327,207,703,342,333,830,652,563,241,270,314,348,809,250,
186,979,847,468,644,111,009,299,952,291,702,248,491,735,975,984,495,858,055,
244,557,668,644,295,676,780,400,202,277,309,727,472,394,216,980,228,455,080,
194,468,882,761,288,825,149,792,845,352,020,117,596,452,883,624,839,670,998,
904,211,632,842,349,362,562,290,882,745,963,983,642,701,688,284,113,836,454,
691,367,495,479,939,734,779,557,523,240,435,725,965,149,769,275,636,796,341,
965,486,944,965,399,481,867,795,040,961,244,460,718,519,579,156,128,390,030,
701,891,551,100,364,342,333,678,261,350,126,460,033,656,714,618,694,736,078,
645,288,253,502,688,459,298,879,326,653,352,948,898,966,769,264,423,874,861,
601,025,678,916,199,074,744,708,794,407,912,176,052,959,098,133,918,177,665,
110,809,669,434,008,575,428,786,478,198,703,974,301,878,066,588,826,903,685,
372,798,054,002,648,127,988,335,747,071,705,788,656,094,579,025,483,307,188,
081,301,147,590,533,335,795,622,343,796,094,143,208,776,687,517,484,109,311,
815,631,077,917,614,312,203,565,554,700,159,109,538,626,438,911,100,049,203,
893,031,443,927,091,615,836,984,135,091,193,894,295,967,123,273,608,160,883,
092,705,390,910,043,220,418,430,791,070,316,454,740,169,924,381,124,439,008,
491,783,823,646,116,986,163,653,443,050,419,237,527,884,544,565,464,373,870,
121,746,087,102,006,580,180,115,621,268,811,953,246,890,087,418,346,293,531,
981,196,145,589,387,764,442,673,129,705,261,381,064,959,472,313,572,810,830,
954,450,104,643,349,228,363,222,472,506,746,412,422,481,400,486,932,543,554,
991,682,580,513,014,389,605,300,676,417,705,816,123,164,307,798,086,813,619,
370,020,195,959,021,574,155,654,526,652,454,154,347,301,991,724,363,854,719,
017,171,292,429,501,132,661,182,462,988,066,780,252,974,016,799,903,546,041,
718,215,099,669,176,598,408,884,522,963,600,512,136,081,284,734,638,332,778,
565,344,817,696,359,956,985,782,884,886,934,383,879,695,247,092,892,540,957,
043,840,693,465,507,501,241,236,312,751,542,024,619,201,766,243,664,363,354,
356,084,493,132,948,022,545,948,820,676,997,258,367,725,686,287,571,658,299,
405,692,075,082,313,578,825,499,946,078,533,907,521,389,545,048,919,205,829,
973,870,876,125,339,235,854,421,974,861,575,535,377,104,694,195,741,750,434,
426,595,504,430,076,630,741,563,813,015,798,634,965,593,386,270,191,988,033,
461,836,402,724,032,747,771,421,876,011,378,881,584,505,839,750,636,467,196,
156,799,954,485,509,253,618,303,125,512,945,698,620,844,160,885,673,666,937,
832,498,760,189,725,023,500,030,035,034,203,704,694,285,081,696,562,734,763,
699,319,665,183,197,923,374,872,148,726,951,613,949,451,690,678,808,230,783,
257,594,103,222,614,267,459,670,662,090,001,773,736,358,961,291,552,400,506,
279,293,862,622,996,406,976,152,108,852,733,937,216,459,461,168,967,559,831,
230,136,621,348,059,927,231,300,525,474,633,152,084,486,327,909,221,600,135,
407,501,827,839,475,573,226,217,555,310,204,155,277,727,871,956,511,332,440,
091,754,744,767,281,945,351,585,624,846,775,048,649,594,910,591,738,052,529,
594,891,437,968,925,201,422,961,537,085,869,583,696,649,444,348,979,933,109,
804,653,509,589,928,581,459,834,643,898,141,664,506,268,084,564,358,725,757,
588,915,135,547,483,844,566,334,879,191,058,473,085,821,409,810,777,314,608,
938,368,237,851,669,332,378,594,398,218,115,924,535,445,121,387,115,172,222,
416,487,931,246,407,031,636,271,959,547,210,168,537,066,788,614,198,457,469,
912,210,836,964,969,883,895,857,024,992,934,004,400,027,650,612,206,902,363,
110,685,615,888,184,840,105,389,574,756,830,828,546,391,971,682,285,907,194,
307,991,001,598,864,843,202,756,832,738,466,916,193,967,249,414,233,861,292,
777,592,965,296,655,885,627,992,576,760,966,146,489,287,690,377,276,194,854,
611,550,134,976,694,545,915,076,115,976,008,665,326,048,032,363,656,493,113,
756,458,982,588,956,067,679,069,170,053,340,738,944,743,555,253,045,796,240,
360,244,877,621,535,656,977,647,975,166,119,675,170,285,039,530,572,015,356,
614,823,413,862,386,600,492,546,359,420,155,713,505,746,660,677,051,036,174,
635,874,676,186,158,162,747,897,595,417,055,013,007,578,280,850,699,317,145,
379,600,805,544,797,900,108,847,741,006,051,720,073,623,482,096,972,329,850,
102,072,228,126,962,399,385,055,963,709,202,619,511,573,737,678,319,523,858,
274,071,659,071,052,959,757,556,761,574,910,472,711,158,129,280,175,833,956,
329,886,564,834,183,034,387,712,850,790,175,530,054,345,650,473,411,675,436,
525,059,516,846,591,617,939,197,051,107,145,939,386,570,418,462,172,149,844,
367,053,975,666,695,629,460,278,631,668,263,177,436,973,134,099,733,384,102,
415,120,657,274,099,518,797,169,881,250,516,262,293,110,272,325,295,105,843,
530,323,878,475,259,249,124,573,009,448,028,429,213,162,595,071,066,697,936,
695,445,935,394,898,115,178,140,329,163,895,973,855,634,318,617,217,857,962,
905,175,976,363,725,710,864,612,708,193,270,002,002,280,861,904,499,407,709,
319,995,809,332,265,905,604,892,634,006,199,543,963,286,843,739,835,827,781,
203,492,933,805,429,462,314,727,495,486,506,055,808,272,085,252,651,308,848,
952,545,274,976,681,814,152,321,628,463,314,913,576,988,211,993,851,408,260,
036,800,513,221,409,262,583,993,842,178,871,609,688,560,266,921,905,522,704,
001,467,734,677,029,496,654,307,234,098,217,879,063,277,872,230,454,666,707,
059,483,111,179,876,730,114,324,231,794,128,377,367,105,924,718,177,188,253,
513,995,789,312,780,530,408,195,034,764,506,508,828,956,889,907,358,960,262,
885,004,404,035,877,870,736,710,083,543,574,942,521,581,547,548,775,789,857,
622,619,742,911,630,454,672,302,343,300,207,297,728,069,197,585,135,932,800,
067,729,246,645,896,229,398,620,086,492,140,447,802,002,550,800,719,771,834,
072,619,317,388,433,694,774,855,309,233,449,095,099,026,965,695,429,491,613,
484,291,568,990,417,028,270,562,804,392,247,052,367,132,289,843,461,295,587,
634,094,560,166,416,035,935,420,373,725,404,886,398,884,377,471,659,234,226,
234,048,421,894,136,633,850,706,301,957,313,315,874,116,254,228,703,337,412,
492,618,185,898,664,772,629,741,134,924,737,093,473,068,465,194,221,909,926,
505,569,761,148,563,998,907,718,674,889,051,003,659,133,589,729,552,941,848,
347,507,799,457,665,664,675,047,143,060,593,462,474,572,472,457,859,038,427,
132,129,749,215,238,819,608,439,948,183,703,498,141,665,375,323,969,388,939,
985,903,443,337,638,534,933,039,789,359,250,082,117,415,876,928,862,409,395,
046,463,607,509,567,412,474,688,559,067,694,269,984,152,232,630,149,833,162,
324,071,233,680,662,580,507,252,543,758,977,065,892,667,598,170,563,807,560,
118,513,604,750,729,025,833,623,424,628,859,008,279,815,786,986,245,159,050,
359,205,824,006,716,766,481,254,757,476,372,567,248,584,513,239,193,689,257,
638,825,382,140,270,382,890,475,116,362,817,249,731,234,434,787,154,426,843,
932,205,242,335,473,976,065,970,371,261,383,746,338,002,493,217,777,311,101,
010,973,382,449,219,467,455,890,306,249,823,126,721,644,095,137,670,275,128,
322,939,822,815,446,653,607,413,905,745,011,560,441,803,956,526,198,480,463,
182,299,532,263,602,685,891,111,318,700,760,178,246,446,356,664,217,486,482,
802,310,818,555,946,253,662,047,902,478,382,512,605,248,085,873,956,475,620,
595,976,547,446,378,698,576,737,915,156,395,025,717,586,048,664,468,471,305,
597,004,587,105,698,726,710,723,568,776,519,404,408,916,272,287,693,187,727,
737,331,695,457,202,445,928,834,535,119,238,231,205,252,891,524,231,911,526,
656,183,130,061,828,439,956,653,714,125,469,111,441,819,559,087,556,559,491,
560,753,762,613,320,628,433,794,123,000,636,232,938,940,278,729,918,938,391,
848,004,957,280,248,869,240,776,416,064,178,463,320,968,949,761,134,714,056,
182,201,156,037,198,407,596,907,035,054,334,089,929,223,346,470,020,033,365,
337,029,878,315,341,206,667,192,789,408,139,469,215,643,175,556,541,146,639,
117,930,824,627,829,497,424,898,934,772,572,993,699,139,343,829,892,949,423,
905,108,489,899,774,687,943,063,662,489,664,855,811,372,646,843,179,284,949,
636,651,055,362,692,085,224,919,982,297,353,730,843,579,033,459,970,895,242,
821,295,102,024,150,388,827,572,848,547,928,868,692,596,231,685,066,482,879,
555,696,426,131,803,190,663,924,435,643,623,651,277,695,831,122,063,861,094,
605,673,691,982,998,687,580,958,939,457,604,937,502,715,461,392,767,232,887,
457,199,552,403,687,490,514,873,448,966,918,706,909,418,031,374,463,411,814,
899,033,371,355,873,563,801,468,251,960,957,582,303,748,976,928,986,346,768,
613,305,238,240,453,088,617,213,345,374,823,086,907,807,269,913,813,112,009,
472,970,228,059,694,510,401,289,074,555,711,671,015,830,055,960,726,306,616,
068,202,100,203,358,105,878,646,126,558,644,558,891,767,008,666,009,315,285,
187,004,296,149,728,707,003,790,764,996,914,578,627,517,334,603,780,037,517,
032,069,114,707,595,801,225,818,401,896,447,813,768,127,975,155,208,070,183,
957,667,065,287,293,656,373,852,135,837,196,729,412,219,637,463,512,472,632,
247,888,626,976,482,192,576,448,724,090,625,062,210,781,299,351,820,097,223,
904,776,071,014,458,059,561,705,967,812,772,720,258,419,813,104,940,818,500,
610,701,838,961,470,903,108,008,982,644,388,352,980,966,959,457,875,110,017,
016,754,962,155,056,594,058,222,988,265,473,957,429,495,149,100,742,685,925,
894,524,953,727,128,951,892,636,507,728,156,585,430,341,492,301,217,518,977,
751,284,807,391,031,545,989,702,595,604,405,782,670,578,760,725,434,949,090,
890,363,149,276,491,644,906,388,363,514,781,126,163,721,035,689,519,677,077,
018,039,044,030,285,642,544,768,461,629,647,533,705,503,554,217,192,373,787,
055,532,445,934,694,246,375,346,255,093,171,118,686,110,029,380,896,827,800,
623,204,728,270,832,114,515,376,679,099,953,511,344,491,379,314,208,822,848,
706,986,942,822,550,418,200,911,651,548,224,692,696,352,998,253,752,154,987,
812,206,222,744,378,316,582,009,004,257,629,204,945,554,611,218,377,101,424,
713,959,592,054,424,527,575,406,103,587,781,586,376,829,295,331,621,832,443,
184,791,344,096,046,159,188,648,488,786,859,352,553,659,639,633,445,445,355,
704,214,206,282,094,162,699,516,601,570,733,412,628,997,186,103,221,032,315,
484,076,811,432,017,971,776,393,346,639,828,802,397,828,356,641,963,184,745,
859,821,750,530,366,392,189,876,324,106,867,112,893,557,215,459,354,878,833,
818,312,360,003,972,996,020,204,309,616,732,134,786,340,578,756,060,901,542,
354,051,318,443,288,643,888,602,355,310,175,620,678,000,680,385,323,711,210,
231,540,251,246,953,443,243,671,414,741,375,730,762,514,318,667,566,774,731,
728,365,718,771,667,303,953,712,098,172,950,566,646,815,439,309,799,817,339,
090,317,931,546,775,105,310,315,997,226,482,872,040,768,626,301,992,186,474,
007,266,569,442,089,569,069,681,524,163,544,859,649,131,761,786,119,420,311,
621,938,609,565,645,748,879,905,976,274,208,329,097,602,695,283,528,112,045,
625,860,653,577,664,066,408,226,516,817,303,721,883,288,008,642,673,291,017,
751,031,321,988,977,932,001,405,287,937,347,501,503,354,434,273,970,380,003,
811,423,633,371,517,764,437,420,587,598,951,612,390,370,497,856,480,868,772,
684,647,964,875,908,011,223,174,313,474,069,947,237,009,056,066,259,014,197,
914,043,884,360,117,589,387,975,083,529,712,175,315,647,866,393,246,949,213,
740,121,561,012,254,643,651,598,960,989,324,672,601,091,871,728,469,488,556,
323,266,095,338,459,026,298,812,516,447,172,325,061,389,108,226,726,531,972,
282,121,651,354,234,943,676,009,415,209,811,600,917,800,359,174,018,392,087,
746,895,303,077,219,220,674,767,046,799,973,835,774,336,936,098,490,602,402,
970,301,115,360,235,823,006,323,158,655,645,823,258,138,060,912,603,996,221,
557,608,702,126,874,219,425,401,121,680,251,146,626,683,244,918,618,962,121,
854,148,322,017,531,470,511,111,403,364,877,940,771,586,480,110,026,376,419,
143,412,550,932,730,812,218,686,533,653,202,307,004,211,547,495,179,029,805,
101,997,349,102,488,399,601,007,388,607,696,807,504,623,863,339,804,759,922,
199,124,817,216,641,671,530,814,911,342,824,478,704,578,774,387,545,366,209,
319,344,476,213,346,288,973,463,109,922,054,324,438,001,191,734,661,973,417,
920,475,428,807,533,646,191,911,243,366,013,418,495,111,062,210,031,613,614,
183,384,917,500,269,879,229,052,812,562,995,372,836,683,322,088,626,463,535,
213,971,616,705,135,568,412,496,232,021,736,264,210,254,603,360,626,753,036,
143,236,387,240,631,701,078,997,701,532,535,980,654,217,785,358,944,258,861,
668,317,002,693,225,991,019,035,893,205,154,878,019,490,273,214,331,351,075,
137,578,036,232,032,326,931,120,064,269,250,504,728,676,430,546,527,201,520,
532,405,535,098,018,873,575,416,216,415,720,860,841,014,537,909,170,921,417,
950,947,811,286,401,704,409,744,114,961,856,676,699,294,258,593,072,037,343,
845,947,755,186,395,472,772,398,388,199,919,265,271,788,440,043,717,517,565,
382,048,879,014,089,589,566,159,783,443,542,568,616,479,996,861,331,907,962,
199,718,993,739,584,385,642,738,192,535,452,831,708,003,902,952,111,776,038,
534,070,138,684,031,620,533,830,724,271,957,287,287,853,842,982,644,934,301,
746,928,869,957,594,446,307,224,235,687,804,662,216,837,179,377,430,081,356,
049,666,834,634,751,765,612,033,568,324,702,352,304,400,432,082,373,874,676,
080,520,882,058,261,744,366,360,783,137,164,218,513,114,943,198,183,878,792,
018,533,804,248,500,000,147,110,067,364,210,773,767,597,806,176,608,509,080,
921,181,380,146,144,522,173,790,533,474,458,954,779,676,301,063,814,329,845,
090,240,796,451,956,341,244,371,449,154,550,430,779,960,425,877,942,750,672,
853,373,920,806,810,270,820,919,222,989,355,611,340,649,808,631,635,690,784,
516,339,971,508,546,634,413,601,069,229,014,345,627,749,555,478,282,632,631,
708,187,179,024,028,684,688,082,642,461,952,548,666,541,030,859,252,217,911,
066,663,141,517,042,503,411,086,562,071,475,423,403,047,704,174,275,453,411,
281,182,428,107,329,809,484,461,500,429,838,452,973,331,435,083,415,854,811,
691,235,896,969,035,098,821,501,351,466,626,510,611,045,602,951,116,252,078,
349,143,196,533,860,044,215,324,771,543,051,816,584,223,768,221,016,310,966,
557,535,618,855,451,783,522,859,483,996,798,570,868,664,560,705,633,820,798,
531,563,297,873,614,039,970,498,496,751,392,769,650,015,944,985,935,179,505,
595,442,463,163,393,745,118,893,591,337,959,985,638,762,043,100,542,273,938,
798,620,452,651,127,529,231,569,244,243,686,723,821,456,051,254,914,590,941,
159,775,754,391,574,993,850,769,828,706,601,523,844,620,216,634,449,887,706,
705,459,389,478,337,729,510,596,461,507,519,635,362,393,245,358,158,629,154,
452,292,119,391,424,940,104,312,554,653,816,461,187,521,496,754,501,591,869,
570,464,758,167,250,384,569,322,600,502,642,428,771,270,661,002,932,541,217,
049,636,992,431,915,323,332,211,132,582,173,861,486,520,030,436,520,149,033,
098,981,894,843,656,294,660,787,131,186,652,022,907,063,780,100,967,986,637,
704,723,416,260,538,900,223,667,197,186,204,449,618,104,229,058,454,969,800,
768,137,556,603,012,606,982,192,821,276,673,347,556,315,676,068,875,825,694,
014,356,112,043,708,888,125,290,046,747,602,812,011,497,195,936,010,293,573,
342,698,636,149,338,277,424,949,535,605,194,048,173,778,999,925,618,748,067,
313,633,629,669,589,617,895,657,426,839,915,149,949,523,908,450,762,960,420,
349,333,780,402,470,712,143,321,749,863,693,653,971,388,996,811,102,877,747,
824,166,644,004,068,161,683,273,709,244,688,514,768,450,483,326,351,598,318,
583,059,656,382,833,736,310,195,038,851,125,821,584,388,169,352,714,647,707,
663,689,416,543,134,953,522,187,211,396,405,590,125,282,791,451,161,067,273,
877,244,772,982,662,934,506,714,648,416,616,280,189,460,365,313,445,252,616,
440,348,154,547,285,544,576,938,958,287,815,203,399,476,055,907,706,901,057,
937,335,212,612,895,461,336,473,444,432,245,107,421,285,312,024,273,614,263,
039,693,639,746,435,182,827,842,002,071,138,641,563,287,441,333,049,799,150,
431,679,441,625,474,963,709,817,102,917,725,842,260,072,730,945,263,691,681,
705,690,891,719,788,722,744,999,954,353,153,140,465,103,571,966,674,679,444,
955,788,294,558,510,684,997,093,391,540,710,921,661,491,578,780,981,913,070,
939,458,510,242,277,290,343,963,231,168,808,836,809,162,400,591,296,015,333,
184,996,712,671,840,465,162,040,629,800,207,077,422,795,296,398,726,492,366,
225,385,314,585,816,884,568,657,461,459,744,064,486,297,510,240,511,638,332,
053,088,896,950,720,512,356,855,940,372,744,390,335,965,932,613,060,950,055,
068,949,978,941,288,209,852,416,314,505,607,287,990,560,633,389,894,399,262,
419,217,430,496,496,644,842,198,898,877,300,322,596,056,219,096,413,570,125,
283,492,546,705,514,764,760,337,575,148,001,553,007,135,292,574,816,074,908,
696,846,521,243,855,943,724,287,456,640,765,385,980,481,364,302,502,525,051,
033,538,641,306,405,474,993,833,685,280,047,105,514,040,513,702,822,078,333,
798,717,339,709,419,494,209,660,085,087,600,413,902,342,980,105,983,378,580,
374,613,177,144,098,150,123,312,939,564,360,497,013,457,846,453,569,612,686,
503,686,608,083,868,223,076,677,099,002,540,467,454,688,330,642,135,873,659,
575,073,040,048,133,852,245,102,727,581,189,307,415,341,932,863,224,354,154,
267,424,638,842,208,911,573,713,294,482,536,629,802,183,666,701,207,014,012,
590,954,278,417,319,422,266,987,781,973,680,251,602,947,782,424,328,159,122,
246,018,042,883,330,720,610,639,386,491,251,374,950,252,018,447,525,244,466,
174,522,181,620,707,208,983,374,175,466,862,819,418,588,809,670,523,762,057,
141,744,857,272,626,629,721,821,606,154,293,845,725,273,691,950,191,785,010,
375,925,207,800,927,939,657,943,752,654,044,105,738,799,936,326,355,870,893,
895,103,749,093,199,804,220,434,712,259,949,633,029,284,821,007,997,871,106,
962,675,590,350,476,552,331,700,021,921,053,925,770,649,027,164,063,913,625,
130,610,537,079,732,889,662,283,194,809,839,610,640,113,993,337,680,810,704,
434,134,285,219,702,397,345,732,865,083,045,172,322,738,084,859,205,185,937,
028,134,651,949,745,969,000,218,159,894,429,650,125,762,946,523,227,174,062,
462,357,401,128,632,321,192,571,516,042,812,455,787,869,491,333,264,167,607,
995,406,209,970,608,399,285,661,862,642,624,078,300,202,147,407,754,862,126,
077,007,862,427,974,987,219,846,282,977,608,148,802,958,873,667,739,762,682,
013,094,907,276,673,837,598,409,599,178,154,819,734,587,039,363,673,016,746,
247,133,231,096,026,792,815,930,800,956,928,776,655,997,228,686,898,935,008,
265,493,067,686,544,450,186,833,617,129,504,306,992,066,218,815,561,044,035,
968,230,333,829,731,414,395,442,881,617,057,150,835,417,705,771,767,305,477,
793,002,427,863,391,058,659,849,123,254,503,480,582,432,332,379,487,917,237,
446,737,980,399,935,748,609,602,465,799,881,280,865,204,240,515,049,986,942,
855,647,082,056,621,480,425,640,292,024,423,993,508,975,567,120,483,139,427,
958,097,060,322,544,231,196,294,002,806,649,134,889,348,214,347,388,905,477,
027,846,958,300,194,837,332,425,963,138,218,769,187,395,844,651,137,809,148,
882,426,379,203,494,109,307,736,463,644,338,083,183,443,953,372,598,173,031,
598,389,352,793,777,370,953,806,147,924,628,148,197,439,670,676,502,421,620,
909,954,243,406,556,594,767,164,120,703,852,460,551,021,032,224,396,470,316,
194,578,124,539,378,010,342,168,597,833,676,824,777,951,270,967,032,784,392,
092,515,999,494,798,227,310,701,528,256,386,624,040,755,533,780,189,946,242,
585,514,571,380,486,086,230,355,350,404,415,228,386,255,456,882,737,848,574,
879,445,408,556,091,283,126,013,343,198,201,591,151,268,087,849,574,131,555,
570,026,276,768,214,491,804,230,345,322,636,839,382,548,584,700,010,422,504,
478,334,049,814,978,387,180,361,361,885,927,288,470,496,837,492,852,812,720,
828,049,316,397,863,100,936,113,729,649,432,424,903,672,715,929,433,347,751,
674,480,010,627,375,074,954,935,295,267,316,102,261,317,813,606,005,920,447,
820,830,026,783,769,484,943,470,305,090,266,255,211,548,623,718,084,032,717,
332,022,658,809,672,730,139,032,467,544,741,920,326,092,589,623,818,131,147,
287,051,063,445,972,813,834,520,526,456,346,765,578,928,576,693,796,113,253,
315,735,010,820,732,011,787,508,553,711,167,502,155,970,209,066,030,269,726,
262,448,498,415,623,581,488,026,713,138,964,391,037,317,228,309,873,545,095,
395,078,136,906,741,179,718,236,576,155,938,452,578,307,154,328,466,484,599,
276,492,790,208,925,770,900,682,944,088,454,330,582,049,751,915,052,272,254,
845,021,737,622,171,028,220,593,585,338,297,126,619,268,113,910,202,224,371,
281,090,494,385,460,531,261,023,097,132,218,235,704,408,476,707,170,821,456,
105,133,551,632,831,636,737,651,907,373,632,886,697,539,410,068,221,135,246,
721,546,260,929,235,397,610,195,393,008,809,959,038,434,226,933,633,012,150,
764,474,667,742,339,258,424,119,909,523,578,189,554,881,211,827,219,639,954,
617,622,582,396,297,069,139,996,066,845,502,803,771,035,386,347,845,336,724,
220,601,772,235,286,893,437,964,376,106,076,612,680,066,041,150,969,029,851,
650,049,731,658,305,025,406,256,935,870,679,259,953,845,011,434,756,653,067,
601,526,618,007,115,724,096,041,001,526,517,231,756,205,106,757,599,974,284,
952,889,254,754,515,858,859,184,783,813,236,040,472,309,044,772,155,027,304,
101,587,221,916,214,993,455,878,455,872,702,605,019,241,623,224,778,740,134,
977,586,632,161,648,353,321,358,907,566,290,367,223,275,984,804,331,943,787,
157,816,082,647,021,577,397,311,682,857,682,865,165,681,207,783,593,039,060,
240,226,394,178,599,684,052,066,856,595,821,146,673,523,208,522,625,594,688,
404,189,461,717,942,832,163,382,161,599,647,313,780,407,467,172,400,103,644,
045,604,352,729,951,374,417,417,954,710,810,699,544,285,470,967,213,504,230,
168,870,382,030,168,709,759,016,225,977,298,615,292,646,895,277,645,353,379,
343,192,719,248,380,182,139,477,245,828,393,489,655,656,130,066,883,826,613,
466,455,361,568,456,872,575,922,978,904,384,172,269,996,604,794,049,023,421,
375,971,051,482,514,567,976,604,041,262,819,382,279,236,705,543,411,620,040,
696,020,484,584,235,043,339,634,589,966,774,858,401,062,812,204,035,042,250,
133,757,368,143,230,393,540,207,927,490,540,240,096,082,789,446,506,139,181,
854,901,675,568,109,990,631,360,836,199,532,064,481,930,152,532,076,806,254,
826,169,883,558,853,583,973,853,304,776,965,661,178,667,585,149,101,592,565,
777,029,211,865,392,182,872,860,300,094,527,913,448,859,087,983,532,129,968,
192,335,441,320,267,214,451,006,789,317,895,707,906,505,908,034,821,054,999,
424,608,055,054,315,016,628,749,433,084,589,121,996,663,798,842,711,988,000,
585,385,559,674,952,345,870,907,590,812,875,991,092,477,695,050,397,896,616,
766,911,513,485,968,567,085,123,739,550,873,435,443,878,797,328,830,298,952,
578,948,647,090,262,875,787,209,711,145,517,287,886,097,835,483,028,622,105,
295,884,735,206,959,321,958,319,093,060,481,293,800,449,033,247,673,887,127,
559,397,156,194,265,223,929,532,469,308,354,948,738,036,071,648,052,550,432,
005,443,583,150,511,280,158,872,086,760,751,880,203,184,070,469,565,539,975,
885,265,983,559,576,426,525,882,000,074,417,436,348,329,305,249,185,606,721,
461,720,690,083,372,865,880,855,975,719,545,961,935,021,395,839,860,793,639,
879,840,488,217,058,541,843,957,658,695,695,266,693,091,186,754,276,209,051,
815,428,035,663,466,118,080,229,379,216,049,515,913,271,618,232,976,323,864,
361,986,012,362,892,049,792,142,311,855,437,487,635,338,743,232,494,586,635,
941,474,095,286,463,218,239,831,630,861,029,758,702,387,249,162,156,446,922,
909,745,902,480,142,629,079,323,153,289,178,744,386,449,423,150,700,141,976,
569,356,511,858,213,024,363,873,824,422,685,729,710,614,974,553,792,488,893,
885,782,972,394,574,733,650,336,057,960,097,533,898,757,825,674,799,214,573,
162,809,079,412,423,594,873,522,504,894,069,499,432,565,720,905,995,291,772,
827,687,603,023,314,790,127,600,000,399,396,905,283,261,494,801,384,990,347,
387,004,517,600,170,340,072,509,017,489,653,112,088,626,735,693,976,587,481,
385,363,412,495,168,371,473,710,116,460,961,156,847,430,093,202,340,454,631,
059,236,287,233,955,737,988,182,977,224,993,230,371,177,229,785,889,907,590,
314,639,783,450,589,719,490,469,746,427,065,131,396,485,444,875,719,314,663,
611,333,415,440,348,993,617,188,317,836,027,086,230,685,143,315,087,441,965,
101,458,039,924,318,830,329,299,577,700,799,523,844,826,782,776,422,632,220,
064,354,945,877,774,774,590,832,605,038,085,701,688,219,374,032,948,634,032,
601,473,134,111,225,693,952,889,585,588,719,427,056,233,998,411,411,650,860,
966,767,897,057,293,400,448,959,718,890,048,596,135,550,761,655,125,124,091,
390,897,623,713,988,801,550,917,622,643,441,417,138,048,051,061,473,276,167,
804,064,027,890,955,475,685,176,030,361,426,844,381,595,928,783,091,547,652,
493,002,244,376,532,560,424,274,803,523,952,206,230,094,822,254,083,774,180,
090,245,446,658,220,746,102,615,510,897,913,629,139,829,604,971,977,422,149,
631,489,577,528,612,706,652,617,757,669,280,192,108,591,023,119,902,876,129,
138,266,697,447,586,467,476,721,255,127,143,133,294,552,344,732,536,718,799,
344,316,540,352,427,732,686,447,925,780,185,970,002,539,894,732,451,047,377,
394,032,547,763,307,446,490,949,621,287,219,138,932,055,784,110,634,677,725,
424,849,738,628,855,954,900,222,122,213,439,011,081,089,406,038,635,240,973,
866,477,719,704,729,097,071,616,768,991,239,998,853,251,389,711,771,897,348,
049,915,956,364,241,181,700,717,577,018,975,807,757,030,552,535,214,669,856,
538,683,130,197,686,921,458,435,581,290,023,688,349,515,615,934,337,446,705,
286,761,272,202,957,983,162,401,758,511,742,774,779,073,231,085,146,814,488,
101,330,805,794,081,537,370,188,462,612,515,633,366,673,358,249,017,080,954,
896,512,416,070,734,139,483,228,025,878,072,476,147,777,870,420,501,563,809,
137,971,285,303,722,100,041,738,721,073,637,464,458,876,662,781,625,686,929,
291,121,086,826,556,822,866,037,546,470,523,020,699,590,152,586,821,978,782,
690,227,485,282,162,298,105,595,323,285,534,840,672,959,595,863,524,385,647,
994,593,535,448,538,731,126,779,382,359,902,061,812,411,336,175,131,521,273,
393,867,584,888,324,977,905,431,600,732,992,032,622,649,781,406,024,914,277,
952,655,265,582,423,811,719,198,558,640,092,624,991,999,168,955,481,880,272,
654,404,018,403,230,039,874,147,344,933,786,821,561,848,040,739,012,944,518,
772,295,524,134,340,535,101,470,998,623,659,647,979,735,955,504,418,275,849,
243,458,949,846,093,237,362,793,699,963,943,651,024,779,252,438,333,946,123,
591,242,252,296,221,148,646,471,369,938,136,685,832,807,132,722,418,335,509,
131,983,048,803,090,400,739,432,711,689,344,034,264,574,713,056,330,918,326,
255,577,008,886,098,201,462,677,396,856,117,962,027,754,900,924,835,222,299,
381,880,046,305,185,104,562,229,840,679,192,964,200,052,887,716,330,180,044,
903,858,295,691,498,452,951,861,711,238,275,075,032,355,749,192,061,134,245,
379,942,489,387,863,409,168,474,162,025,569,022,083,525,760,632,535,628,102,
965,736,272,738,733,616,937,851,225,561,734,983,360,545,259,772,101,131,599,
360,125,297,419,180,622,646,112,776,479,437,367,806,650,971,326,739,966,955,
024,872,896,018,431,088,547,447,041,869,299,406,223,663,551,781,985,456,990,
442,575,752,565,902,826,269,223,970,911,280,596,359,459,157,135,308,764,231,
211,408,346,096,057,871,008,671,442,519,192,239,564,787,910,327,473,184,988,
837,783,685,097,995,018,306,526,327,822,509,430,299,601,505,337,401,943,569,
908,830,659,794,235,790,369,387,750,919,593,214,054,491,029,614,883,049,681,
237,254,187,957,115,141,880,752,199,292,420,942,264,271,466,643,179,681,115,
204,849,599,775,666,461,889,971,977,285,035,997,396,702,357,361,627,639,380,
704,554,371,267,654,743,090,596,844,061,224,763,127,431,119,434,259,934,664,
168,421,952,919,668,518,434,087,002,669,801,531,499,483,830,841,462,454,894,
133,128,206,596,312,495,436,855,973,371,803,788,733,984,855,110,603,003,361,
700,339,919,405,550,057,357,862,428,045,844,775,975,272,552,516,843,680,371,
067,760,426,028,740,710,153,663,367,999,974,886,918,005,352,721,533,940,129,
920,066,095,504,999,699,085,047,788,805,478,917,637,343,798,432,625,517,701,
314,550,124,259,030,648,397,838,809,491,111,985,684,592,620,787,276,549,026,
638,204,501,045,966,862,158,441,767,535,459,183,831,004,312,418,242,401,371,
113,848,110,663,600,934,088,567,297,019,430,687,790,115,379,139,863,508,299,
695,105,292,733,905,551,426,987,295,608,619,152,454,859,273,303,569,621,101,
536,332,639,654,581,054,113,257,811,429,429,705,887,905,415,023,614,810,024,
412,677,766,470,331,446,796,713,557,087,813,796,468,018,671,598,911,495,942,
354,491,522,583,863,657,840,665,695,724,016,524,536,947,487,714,685,995,577,
612,814,011,370,415,618,598,395,046,450,760,659,901,219,755,151,488,404,136,
217,236,295,588,844,566,546,879,775,881,918,720,274,324,983,862,352,875,342,
128,881,271,885,990,700,268,230,930,500,078,747,709,420,693,714,587,486,160,
483,167,058,616,991,413,401,484,119,180,670,250,656,813,716,277,910,947,795,
863,111,411,923,602,692,127,242,991,563,141,329,661,576,386,358,579,916,659,
022,121,867,767,958,307,977,111,972,431,551,559,285,082,895,921,013,186,496,
153,265,578,714,187,104,100,962,568,778,439,045,633,748,464,812,890,727,847,
501,875,198,566,590,886,183,368,594,455,414,097,640,074,220,368,939,045,264,
013,017,080,253,268,078,513,830,326,531,802,333,501,576,698,598,980,932,789,
989,874,217,940,852,907,784,353,470,484,963,141,726,492,899,250,921,589,333,
514,640,670,883,855,012,220,914,473,116,811,013,377,107,117,744,833,518,538,
411,753,894,686,289,382,110,979,360,983,631,504,579,835,421,071,097,221,385,
570,000,390,936,143,955,505,938,022,350,297,027,329,607,333,548,731,811,577,
979,455,921,137,226,473,591,935,312,785,722,858,781,423,659,762,169,080,908,
934,012,828,179,458,617,193,255,655,767,497,817,664,795,496,351,026,954,363,
922,622,416,660,434,892,509,937,298,831,098,985,785,542,209,752,531,854,186,
270,356,276,565,363,220,853,985,807,252,537,578,646,150,925,964,913,821,169,
722,173,064,013,226,191,236,193,949,213,233,739,337,467,226,669,047,556,669,
145,479,396,270,399,073,236,358,854,827,567,771,829,654,847,119,079,708,624,
119,793,104,918,270,155,208,852,926,617,732,163,043,486,744,850,699,038,852,
394,927,801,225,115,827,853,041,484,677,431,468,601,219,815,580,466,763,759,
415,887,443,661,040,331,126,788,103,478,276,131,336,164,164,862,172,882,488,
477,888,442,369,125,414,082,844,859,908,276,916,042,012,574,214,650,617,545,
170,938,183,249,005,870,359,745,863,489,393,891,794,691,383,358,772,783,957,
783,663,466,469,782,555,145,141,358,246,235,657,648,046,045,794,815,509,523,
191,494,243,147,639,521,527,043,467,015,207,240,893,749,116,560,892,997,361,
455,228,967,957,754,892,122,656,771,503,834,213,175,360,787,427,463,435,309,
455,083,766,584,458,703,398,150,014,020,885,031,866,513,940,804,534,421,741,
324,839,404,612,646,729,590,772,819,800,062,116,398,702,242,670,464,945,114,
514,768,246,373,796,973,535,061,916,014,149,811,515,855,837,313,626,511,503,
071,464,289,278,007,725,949,273,251,774,465,212,342,931,855,922,057,301,163,
407,518,942,480,812,352,922,784,106,162,678,764,254,802,991,477,193,705,315,
999,234,635,777,769,618,488,590,254,524,406,637,029,261,855,467,532,826,168,
098,457,970,432,434,085,080,360,588,148,474,680,422,799,385,874,345,074,330,
661,853,289,171,267,029,657,430,217,750,237,615,404,211,173,257,507,642,596,
828,915,356,628,291,681,008,602,932,448,340,828,411,187,963,789,259,207,700,
734,319,493,668,589,551,031,870,524,173,452,991,165,687,156,369,896,535,725,
525,517,158,592,030,471,814,922,591,271,024,563,084,048,161,832,454,672,128,
150,941,839,839,699,058,761,212,599,877,094,567,472,368,928,468,360,912,873,
288,506,358,268,321,748,302,542,279,823,477,029,808,766,737,272,637,017,475,
682,006,403,655,413,520,745,185,752,495,957,189,833,327,278,678,099,040,787,
814,025,462,208,763,169,639,403,762,252,040,244,136,254,493,714,735,217,599,
991,193,840,517,383,102,640,739,213,092,224,212,316,949,460,351,750,399,827,
652,575,939,778,515,752,863,889,933,484,046,008,415,839,990,104,071,795,035,
043,612,127,644,000,040,273,473,121,160,362,772,646,333,094,512,200,231,131,
213,554,031,822,754,375,065,383,668,612,246,333,577,444,025,397,780,216,171,
651,923,523,675,939,252,752,262,809,806,294,642,838,240,688,374,811,388,347,
682,983,218,463,302,772,452,988,566,731,176,016,080,615,197,662,466,310,473,
977,907,757,125,727,438,962,221,329,483,933,100,242,659,813,499,479,389,693,
999,583,903,850,766,047,880,320,046,070,678,525,666,310,127,960,385,896,835,
435,904,343,395,985,885,225,542,174,945,758,596,621,343,948,843,887,906,869,
345,242,423,357,859,690,200,678,723,387,609,938,705,354,598,767,443,048,232,
389,049,983,070,277,147,488,304,939,587,834,569,750,023,146,499,065,305,596,
668,002,492,309,783,390,186,884,831,685,018,441,676,794,220,610,797,393,371,
947,164,533,773,552,898,771,347,175,293,944,350,822,324,622,574,142,367,028,
945,575,358,017,790,089,346,466,755,888,441,511,085,386,805,580,013,511,267,
850,548,440,152,971,596,389,676,632,444,251,230,955,992,429,001,554,492,912,
028,198,487,166,072,962,914,169,126,590,873,041,203,331,346,985,466,373,773,
997,775,269,351,259,460,738,685,311,181,514,577,494,507,155,656,741,615,931,
478,647,859,551,626,452,028,083,608,321,137,764,260,816,585,991,065,160,841,
447,861,345,484,106,849,564,004,014,234,180,937,351,931,846,235,667,445,210,
896,181,867,126,797,398,548,284,593,117,539,677,333,474,144,659,387,310,684,
875,298,992,055,917,352,992,455,619,245,379,928,458,123,789,530,014,639,223,
167,351,419,590,812,512,060,864,697,727,579,497,375,940,852,354,076,011,866,
335,649,366,356,026,446,256,155,290,767,889,171,717,175,103,264,793,731,598,
311,456,377,015,834,122,331,616,391,748,508,888,897,532,649,293,900,259,019,
790,285,532,028,865,086,807,241,390,043,478,447,192,673,945,520,613,781,045,
360,990,539,398,172,319,700,813,854,781,066,599,263,376,331,187,683,420,695,
737,197,187,802,980,189,491,545,671,077,531,121,415,260,520,045,006,365,666,
668,391,740,333,557,484,256,459,237,847,792,172,769,447,785,535,053,208,358,
154,906,985,048,739,953,289,227,568,631,057,054,823,871,578,645,824,234,955,
025,472,178,881,543,942,282,364,402,548,417,120,690,805,932,850,206,363,067,
399,460,343,600,585,104,836,723,085,044,753,353,111,085,373,899,505,426,656,
180,918,858,212,561,709,683,215,878,853,007,981,673,672,527,268,052,619,834,
876,364,354,839,467,037,473,897,515,721,672,555,036,519,993,110,186,167,896,
093,089,327,210,657,907,166,920,747,413,671,086,283,084,490,714,322,849,973,
296,894,469,911,125,684,169,012,942,305,616,496,461,587,570,452,278,410,549,
631,264,442,789,731,482,201,468,119,262,276,601,159,546,178,079,492,367,045,
928,461,632,247,607,931,159,333,831,522,502,383,190,560,914,541,483,141,151,
831,273,062,962,243,703,749,474,396,104,814,294,013,854,307,600,853,844,134,
973,095,217,026,104,441,875,879,576,418,023,050,070,654,794,614,781,467,089,
710,688,718,758,722,562,279,456,774,690,143,634,249,823,207,476,391,264,973,
547,287,730,084,976,606,850,028,605,112,542,181,234,200,624,452,015,650,245,
817,818,627,574,731,267,352,568,024,325,366,458,629,878,014,401,883,920,336,
564,298,933,129,790,819,890,609,623,220,842,497,401,755,145,438,336,953,703,
886,100,804,510,861,122,233,703,384,687,743,314,352,071,179,738,720,889,730,
060,705,800,936,360,992,065,348,929,417,171,255,417,113,765,941,096,594,260,
383,445,210,995,132,914,055,098,573,941,987,179,581,617,142,807,533,879,358,
995,381,671,446,608,264,550,207,028,125,140,633,586,836,878,840,659,857,594,
917,101,919,384,668,090,652,350,676,130,243,272,330,388,578,906,119,987,122,
672,131,499,460,387,901,255,111,643,987,569,871,129,426,121,617,111,150,075,
837,208,858,065,140,828,689,471,619,849,578,908,171,632,842,114,898,226,742,
677,873,640,202,672,103,489,928,601,580,246,304,709,758,687,418,571,017,154,
850,842,207,893,203,036,426,116,083,216,153,984,243,562,668,889,123,679,832,
196,989,842,565,199,793,035,780,225,037,731,559,065,354,202,894,426,135,490,
238,995,110,267,469,480,557,163,039,208,444,898,219,212,576,880,709,641,837,
443,702,252,133,860,962,892,498,175,625,997,826,481,243,505,177,622,911,642,
546,708,111,205,155,035,718,564,288,448,714,526,495,331,554,749,144,902,663,
511,266,976,108,742,925,165,866,434,969,106,141,524,468,880,954,302,558,015,
176,070,946,905,283,360,654,279,727,169,860,125,385,592,307,084,263,343,887,
586,700,717,212,393,146,750,507,812,208,042,762,413,484,983,672,213,671,533,
374,706,337,200,151,554,715,300,860,946,676,105,375,333,978,770,972,549,076,
318,438,975,940,267,171,232,009,315,784,827,974,063,849,313,464,070,343,583,
601,090,547,861,584,593,173,040,039,315,540,766,362,253,279,931,170,963,303,
172,640,078,453,606,399,720,112,242,705,730,334,190,585,047,769,621,042,978,
566,996,803,785,756,746,221,213,874,318,580,378,080,511,507,511,199,813,635,
150,090,693,996,308,705,561,332,280,537,357,136,393,331,346,523,872,532,769,
661,533,804,285,314,030,290,210,739,831,471,800,078,095,291,604,202,857,054,
109,603,968,612,588,731,472,187,857,708,523,632,318,815,516,513,341,009,051,
933,528,341,142,490,438,772,876,419,018,036,524,022,999,185,485,301,989,587,
969,841,393,425,569,764,196,158,451,747,123,523,560,358,097,929,264,570,231,
112,294,684,723,472,586,716,627,560,917,975,061,237,694,014,882,021,758,452,
260,467,812,773,021,667,544,737,998,893,596,496,312,778,345,053,547,701,870,
130,652,193,561,894,924,079,403,759,067,369,524,067,706,487,810,693,783,993,
554,211,332,027,491,961,014,231,891,573,547,613,064,289,497,606,917,777,106,
427,833,718,423,008,908,572,038,758,355,575,643,395,191,573,635,771,526,721,
321,919,202,491,279,432,548,495,612,390,751,237,841,911,284,891,788,389,267,
277,860,840,939,926,458,952,356,475,450,739,897,476,867,970,331,403,829,302,
983,406,456,832,964,042,176,242,684,460,094,485,258,881,412,982,054,664,322,
705,189,910,575,108,558,879,639,630,808,707,649,927,401,438,351,218,600,074,
043,788,313,013,459,299,338,962,527,394,334,790,177,889,091,796,000,990,661,
305,923,237,055,867,189,833,313,259,071,523,279,406,693,736,959,296,298,927,
776,574,676,766,457,618,188,703,454,141,536,999,894,770,408,833,049,543,726,
701,059,239,469,339,432,752,455,169,561,398,549,826,066,967,025,649,364,697,
183,432,525,872,480,602,355,157,334,012,988,068,511,787,691,975,699,888,836,
466,484,811,787,413,601,838,982,913,699,894,556,061,421,930,179,684,189,914,
991,194,773,763,213,240,187,897,132,803,624,268,213,454,375,965,128,460,237,
534,942,946,853,376,770,407,432,677,357,199,426,353,558,690,607,401,033,011,
072,690,526,021,296,494,374,574,294,548,775,673,772,902,221,972,601,216,879,
943,337,251,319,414,740,102,439,876,106,488,409,745,358,691,989,552,134,730,
966,443,038,066,782,890,228,042,951,837,298,129,297,412,463,867,747,046,770,
501,750,078,245,228,463,573,782,003,528,756,397,956,351,185,300,324,531,941,
200,918,126,702,631,163,367,536,390,101,933,673,327,761,069,316,297,471,545,
220,885,142,193,215,788,507,850,770,530,455,081,178,594,400,634,377,678,942,
640,573,506,323,577,232,810,140,530,605,705,945,665,686,002,987,542,650,814,
751,302,189,150,436,025,590,243,988,320,949,334,392,333,813,435,606,347,893,
524,430,840,169,336,995,730,179,807,236,872,883,617,120,002,782,462,161,017,
703,509,246,023,904,260,342,106,950,439,392,671,124,554,496,189,794,746,556,
464,969,771,346,716,870,380,220,257,280,666,053,243,995,829,648,657,228,332,
070,466,219,790,518,724,821,834,010,008,276,638,514,985,465,681,880,504,845,
653,734,002,621,664,295,013,343,559,274,132,216,135,627,454,582,525,046,204,
946,168,262,885,173,969,292,342,119,468,653,386,692,888,368,849,162,062,886,
640,208,227,889,437,546,306,450,207,289,849,303,321,061,712,001,511,708,926,
625,485,189,108,722,875,533,904,126,764,637,768,535,118,173,767,397,980,599,
098,195,171,191,665,384,848,051,663,440,318,830,196,898,076,208,642,159,317,
429,770,312,139,994,913,067,870,409,211,244,615,758,183,883,742,460,097,198,
713,859,840,436,392,058,490,964,615,589,728,051,614,950,892,374,684,496,169,
120,537,605,535,567,342,545,033,280,004,053,947,298,344,703,376,850,875,185,
954,294,233,577,804,947,707,525,764,776,260,153,842,060,053,008,382,949,089,
634,147,991,716,741,096,910,687,349,794,888,981,210,266,245,455,237,411,648,
802,250,451,312,216,737,307,170,817,408,957,818,155,757,391,306,130,892,252,
719,143,565,384,802,920,598,951,937,465,785,919,104,459,670,419,465,127,894,
794,359,486,701,159,041,612,953,086,354,069,273,983,357,590,500,930,362,065,
237,932,389,027,070,014,545,664,016,319,611,569,096,664,919,181,815,074,091,
102,199,110,985,571,070,669,844,099,301,957,549,073,165,920,490,255,933,536,
041,799,179,684,366,663,892,923,113,004,731,585,864,952,832,589,597,772,033,
943,344,263,303,520,318,345,481,435,099,417,134,216,549,900,388,528,445,498,
844,779,634,761,181,309,287,096,506,545,967,633,258,649,771,177,897,941,739,
443,817,384,315,878,194,808,484,592,009,500,692,235,328,129,062,284,238,710,
484,240,768,560,771,906,004,004,408,401,331,161,075,527,314,939,882,835,515,
495,925,935,834,482,465,248,416,189,761,330,537,430,533,786,936,920,567,067,
181,497,993,408,676,481,431,832,561,312,015,050,084,514,851,493,270,711,142,
004,721,230,982,762,190,486,877,347,045,647,817,865,267,298,196,797,727,660,
203,859,183,986,717,493,177,125,812,590,622,437,249,123,842,435,057,765,945,
835,787,426,922,227,133,925,544,409,564,182,243,271,914,871,989,633,168,716,
364,828,717,466,773,567,572,490,472,103,486,441,485,185,359,197,396,239,619,
536,281,747,111,132,068,915,418,897,287,396,875,533,068,410,690,454,973,001,
600,881,197,656,494,999,387,472,770,855,892,429,408,374,019,705,632,276,343,
222,067,533,312,676,792,236,558,959,031,912,464,805,083,026,370,082,479,207,
719,111,131,736,733,417,930,317,917,536,672,326,185,080,147,666,721,262,068,
649,489,209,916,031,569,546,819,577,905,552,653,616,987,521,450,290,990,885,
376,680,198,224,077,460,665,024,720,407,330,691,286,338,261,301,163,937,113,
733,288,009,602,802,658,583,426,620,808,254,264,963,736,553,926,442,838,157,
045,158,316,364,111,164,422,773,590,303,604,336,025,758,743,527,450,032,983,
554,980,040,737,521,512,565,946,371,746,827,890,584,344,938,541,355,826,445,
554,937,619,146,005,781,492,251,582,825,738,763,828,429,817,854,586,965,885,
618,678,559,416,355,036,384,612,568,108,829,184,607,922,517,800,301,217,380,
547,312,639,513,417,054,032,223,594,687,760,438,775,389,553,632,708,132,634,
595,635,145,728,968,305,074,891,624,153,622,759,264,892,011,065,020,936,709,
506,282,731,946,203,150,631,820,812,493,358,338,082,365,566,496,370,489,253,
336,054,925,793,850,147,142,013,751,423,349,709,270,176,082,967,914,586,981,
840,425,092,333,905,946,357,500,514,055,135,574,982,189,597,159,928,061,533,
344,384,612,566,471,647,259,541,227,219,132,960,441,798,191,178,532,464,302,
683,911,499,480,010,469,775,570,322,359,090,785,258,320,408,130,006,543,732,
262,896,830,131,165,375,189,740,776,005,376,692,165,289,088,209,786,699,750,
580,878,278,564,978,873,105,055,992,513,565,936,250,455,697,075,421,510,994,
427,875,918,621,996,561,928,498,625,775,294,032,223,509,575,134,659,175,413,
395,777,864,659,857,553,116,031,412,280,657,453,333,236,971,631,672,190,951,
789,130,652,129,242,503,082,395,660,127,642,705,214,078,013,243,015,701,018,
752,533,103,882,440,448,950,641,636,407,211,265,187,726,273,187,153,831,093,
845,121,420,352,080,635,576,248,759,653,085,982,336,949,034,873,868,780,386,
316,930,264,236,841,267,287,061,245,823,320,410,813,261,244,579,682,267,352,
907,686,265,916,620,480,742,382,547,799,627,048,044,322,171,272,191,191,097,
855,888,249,107,701,988,517,595,004,813,030,137,130,798,719,139,905,778,328,
394,993,881,368,491,251,364,138,325,864,197,676,659,056,698,691,736,305,911,
358,637,682,193,694,989,236,237,349,329,745,851,524,692,582,190,134,595,521,
864,725,018,026,297,668,995,503,901,968,470,499,544,668,356,848,135,024,209,
890,433,552,143,718,764,649,597,268,575,516,277,175,604,300,595,120,445,973,
983,528,885,134,910,453,690,884,384,223,775,949,102,462,052,316,514,648,202,
860,980,576,361,550,928,762,533,992,400,059,187,238,118,143,198,802,448,869,
612,767,604,229,669,864,837,838,747,981,881,581,086,469,674,233,637,359,805,
392,874,615,727,754,510,043,327,980,851,793,520,627,064,933,833,270,062,461,
469,984,082,314,420,506,372,883,692,785,013,007,105,844,425,238,082,276,921,
807,140,532,263,817,205,978,644,604,309,858,632,724,574,326,333,393,560,892,
784,373,340,439,922,590,194,385,465,268,321,418,238,052,787,813,423,506,789,
461,228,603,756,939,252,810,426,738,814,597,906,324,098,080,983,813,966,685,
946,869,443,990,855,953,319,675,262,114,634,341,482,109,454,975,596,432,421,
349,175,355,975,124,195,135,152,699,530,522,884,527,044,702,203,173,331,899,
915,856,562,124,070,607,298,231,912,580,858,745,446,677,412,854,626,631,806,
345,641,904,475,127,581,544,488,361,444,710,522,459,681,224,521,516,677,037,
357,657,293,281,687,614,794,373,818,887,282,692,205,825,927,638,242,991,164,
778,296,604,169,475,665,942,988,556,215,960,020,374,110,656,100,064,675,666,
130,218,133,357,309,920,034,516,896,331,580,611,914,765,748,174,486,109,569,
048,262,240,191,299,282,051,438,332,928,425,235,373,935,663,105,543,639,925,
176,999,415,155,013,784,387,399,440,763,078,234,068,910,534,085,862,582,443,
530,701,002,564,260,421,181,745,861,475,826,882,727,006,364,314,671,959,103,
231,190,583,678,854,485,173,767,125,333,951,040,836,130,392,113,184,335,052,
208,547,418,491,038,182,381,082,873,225,166,962,129,789,808,780,693,292,926,
982,257,749,987,936,427,774,944,007,463,634,621,585,222,210,826,304,987,457,
485,671,423,584,498,653,361,503,260,729,462,951,957,616,315,622,723,140,667,
293,180,799,818,300,044,511,714,694,697,972,317,905,663,266,190,268,564,013,
638,697,985,379,229,529,642,044,908,617,838,083,883,990,073,349,171,662,203,
314,386,631,415,430,951,063,314,041,893,851,883,774,317,920,473,706,578,474,
361,058,081,575,795,130,224,608,824,917,337,830,483,857,394,545,780,698,975,
090,602,577,044,707,302,310,687,033,258,927,866,927,934,575,396,834,003,997,
144,286,548,041,683,791,398,598,367,706,903,190,311,051,734,460,238,218,694,
166,214,381,586,564,358,743,484,301,519,364,667,224,282,286,047,110,363,133,
011,431,099,565,909,976,333,820,577,057,567,414,427,928,408,756,105,838,253,
853,298,127,156,542,984,993,730,770,123,210,858,415,053,495,965,629,995,718,
602,291,240,889,615,207,501,176,841,126,325,742,564,121,088,653,549,480,153,
042,604,674,902,621,288,517,507,825,439,975,206,039,285,165,283,639,559,691,
649,831,781,114,876,556,896,227,478,665,330,393,961,460,838,582,623,230,419,
479,935,092,989,599,457,727,326,166,405,985,915,274,337,992,220,484,632,962,
374,423,936,588,013,688,614,390,325,703,844,997,182,068,423,459,755,721,714,
169,890,519,667,218,450,233,603,983,842,634,815,700,863,022,301,824,352,341,
037,980,681,496,150,145,832,605,306,294,891,187,792,182,145,305,013,354,767,
174,466,382,893,492,643,364,876,527,437,614,875,432,524,216,205,906,098,773,
641,702,215,364,076,172,349,669,169,551,109,341,355,920,142,758,250,918,309,
600,613,114,019,704,925,405,327,964,467,048,237,971,269,220,738,950,332,240,
105,671,490,243,459,724,116,703,121,172,669,955,729,116,455,333,297,069,752,
569,398,493,238,140,431,952,567,532,272,361,559,542,640,361,236,532,989,777,
711,834,278,194,620,728,425,775,461,820,175,416,981,749,829,757,798,366,240,
166,637,601,991,725,238,330,126,365,366,986,793,882,471,373,406,676,679,675,
706,069,612,371,458,965,565,260,751,437,056,306,122,315,212,021,520,513,334,
531,103,479,486,104,890,467,487,467,525,088,409,017,585,739,968,827,656,143,
145,822,569,519,000,874,380,923,096,334,257,048,242,941,768,166,337,742,640,
321,515,196,490,796,856,686,169,960,794,471,030,385,677,537,087,602,164,389,
093,513,773,256,367,272,986,958,899,085,909,119,951,826,951,195,027,876,909,
163,014,515,962,668,063,824,735,279,433,425,601,943,509,444,212,503,595,248,
177,196,005,793,653,333,739,549,640,161,114,346,061,389,737,021,842,635,257,
359,164,642,635,932,527,484,078,385,298,848,844,808,298,598,523,594,174,381,
870,797,463,138,511,002,283,059,150,223,150,818,001,673,699,066,915,119,918,
667,570,065,915,095,321,511,574,007,277,490,156,367,641,603,845,295,855,442,
504,799,851,774,933,773,393,403,764,522,803,945,866,630,948,884,837,407,382,
302,994,090,075,909,312,997,291,870,493,938,032,807,005,952,214,502,236,238,
741,367,562,108,690,557,573,331,224,922,093,357,932,862,723,256,955,874,310,
907,939,238,057,475,468,461,589,110,663,882,217,805,118,032,972,240,448,211,
471,477,762,643,712,986,104,130,171,957,592,774,955,382,063,246,474,157,416,
526,641,324,665,888,478,466,270,776,136,818,243,571,588,390,932,977,778,031,
535,491,842,033,659,092,390,454,307,832,004,477,525,393,544,233,529,859,798,
266,280,430,410,923,263,745,982,408,355,191,302,241,137,854,041,336,487,765,
358,359,578,153,998,506,225,587,640,383,559,139,175,120,735,812,942,153,422,
594,145,456,478,619,835,945,600,962,323,060,827,822,277,747,720,809,928,336,
825,764,060,317,679,183,498,777,577,093,309,371,200,306,340,504,762,625,967,
580,345,722,494,312,140,119,727,778,340,384,373,069,831,347,372,220,539,949,
769,721,295,195,603,948,720,932,252,946,151,695,476,339,632,879,324,302,947,
383,872,092,759,771,529,577,065,691,782,576,657,920,408,381,760,151,694,984,
863,658,474,137,672,306,188,143,018,852,629,670,202,245,767,051,821,743,999,
998,631,967,172,056,279,747,329,213,020,851,106,325,384,811,734,102,442,457,
228,682,354,051,238,748,118,410,540,205,404,913,911,662,328,952,205,987,836,
507,180,107,901,694,547,142,006,953,544,359,567,163,462,547,803,647,681,060,
269,402,262,188,251,981,837,029,159,140,981,958,519,283,463,995,905,501,203,
410,637,793,758,563,049,513,974,813,849,081,507,615,064,015,449,489,018,440,
524,202,978,975,350,573,059,906,406,095,217,281,233,771,093,581,209,154,498,
829,331,820,954,224,608,258,593,377,105,968,448,579,803,083,196,318,366,223,
289,756,380,383,321,960,945,011,569,145,037,606,545,078,997,318,766,961,680,
479,267,562,318,233,800,235,232,243,310,351,306,473,150,640,694,230,406,563,
854,969,722,833,078,956,764,087,749,394,491,020,347,678,280,063,828,635,335,
769,375,557,094,335,729,757,106,936,692,772,921,749,071,828,139,226,965,434,
261,139,112,705,638,852,562,883,920,787,045,935,194,321,496,841,767,076,664,
274,303,801,415,253,930,187,189,059,564,586,141,912,323,333,204,965,406,389,
754,480,167,955,962,108,884,897,411,735,840,007,126,816,299,527,559,439,245,
029,407,079,281,206,371,146,585,310,933,826,622,403,540,362,421,811,316,260,
899,388,588,093,526,776,597,799,398,880,619,379,969,008,713,362,285,416,050,
161,198,467,616,691,391,026,971,980,185,494,295,031,753,072,128,686,121,043,
334,377,969,888,999,729,137,905,459,419,594,352,998,064,153,649,747,864,952,
699,292,541,826,625,230,370,808,637,321,800,024,024,699,870,885,512,298,489,
956,755,619,809,069,236,351,500,108,563,342,289,158,587,162,803,996,765,560,
376,847,750,990,074,300,541,511,125,968,740,236,961,455,035,685,420,507,987,
451,372,958,742,441,987,915,992,048,498,364,500,494,198,427,880,077,299,176,
862,076,114,807,341,191,290,739,442,195,862,942,919,167,244,762,626,311,909,
220,543,708,590,618,523,135,692,717,091,832,148,803,697,974,328,154,626,755,
654,631,150,324,330,794,029,923,378,694,321,788,637,190,428,901,146,074,274,
157,800,268,688,628,424,746,066,991,293,001,126,264,418,707,682,331,789,418,
056,496,558,039,310,173,208,111,708,287,354,824,455,723,420,382,185,340,754,
538,955,636,350,067,069,157,683,596,198,239,369,745,945,604,881,916,275,031,
956,766,357,446,934,784,311,983,144,836,392,413,722,691,878,923,427,041,757,
554,749,375,771,241,490,255,467,357,047,601,438,895,533,955,947,398,283,925,
219,015,110,995,218,946,242,638,549,848,025,453,538,494,839,471,755,779,095,
184,945,126,142,038,447,260,581,451,003,644,123,768,245,658,306,177,216,946,
201,961,072,659,142,988,902,563,043,374,716,093,034,177,032,185,363,922,601,
224,536,796,381,040,315,752,959,969,266,656,633,167,576,381,972,079,182,882,
975,233,304,631,741,124,256,335,437,199,663,489,309,627,129,947,770,381,190,
952,620,268,080,668,026,516,668,642,091,501,366,339,350,260,673,520,014,587,
543,437,217,044,188,303,822,281,094,333,422,117,097,047,438,106,072,732,650,
358,879,640,846,905,277,045,405,561,008,266,273,743,709,034,588,330,163,595,
139,766,277,586,407,916,500,169,061,426,101,320,620,885,853,340,659,662,213,
639,061,009,070,119,890,438,507,052,320,779,107,087,840,587,419,499,827,663,
508,620,136,621,808,153,357,905,320,612,882,791,333,925,681,443,633,130,522,
668,982,522,612,040,950,695,736,116,334,552,645,737,764,536,602,446,614,570,
164,798,763,241,116,915,559,956,844,889,341,402,051,689,160,252,644,523,392,
506,688,424,653,091,592,568,580,349,789,430,777,203,313,255,364,145,091,280,
819,189,731,192,885,724,468,334,173,199,924,583,150,846,954,059,741,659,555,
336,139,740,247,709,145,823,346,086,863,557,645,493,818,108,268,067,145,988,
970,010,288,627,488,772,803,997,038,374,729,439,971,924,476,164,232,108,967,
424,940,661,436,727,971,184,758,047,674,565,822,211,503,786,782,279,313,560,
696,772,622,606,438,297,959,697,673,553,065,855,184,269,735,843,006,032,063,
917,088,747,995,103,169,224,559,812,353,577,070,356,625,667,510,480,823,121,
478,986,510,948,668,948,085,702,478,763,173,483,266,107,306,965,542,096,329,
137,254,247,129,446,652,763,048,732,287,488,202,797,296,224,863,126,490,948,
528,003,426,076,206,291,822,924,766,817,399,528,630,518,504,636,475,852,703,
284,091,973,702,164,604,776,725,495,084,175,622,970,803,532,442,919,020,965,
454,583,012,332,860,707,071,308,262,403,751,893,229,634,432,537,140,939,829,
563,987,929,871,303,615,805,235,730,008,202,819,220,410,676,024,292,163,282,
183,139,287,734,444,612,245,480,864,614,324,031,608,734,990,684,153,822,781,
698,579,454,983,961,092,791,400,865,828,030,148,238,985,008,782,211,214,058,
457,633,852,379,481,610,812,696,479,546,232,401,966,004,053,439,392,625,300,
381,041,421,118,656,567,029,924,381,032,933,107,132,758,111,280,653,806,185,
072,353,490,678,453,451,499,479,537,099,418,902,955,567,921,473,680,750,003,
744,752,021,942,047,254,897,337,295,887,969,897,109,369,102,492,938,460,614,
015,585,746,527,504,476,742,440,117,091,294,137,008,946,481,624,715,891,566,
917,567,462,077,182,013,578,059,849,130,391,607,726,614,106,626,876,812,858,
153,949,885,423,532,537,784,907,732,199,586,044,175,277,798,132,546,786,203,
325,615,008,167,105,084,866,255,683,515,185,569,397,892,931,532,807,699,550,
715,822,731,010,327,190,328,985,441,691,454,275,209,522,233,886,711,463,213,
716,740,701,502,814,834,590,371,371,235,440,416,065,315,068,662,179,429,617,
200,380,962,450,084,075,624,318,390,080,753,057,256,103,250,709,862,561,294,
041,912,961,101,828,441,389,250,461,587,825,111,795,899,349,520,862,142,693,
694,830,555,717,544,993,841,462,789,417,118,258,443,996,767,956,183,987,302,
778,358,125,021,160,308,410,559,212,956,295,935,180,857,622,119,382,355,770,
090,099,425,329,871,170,440,106,802,607,505,491,565,203,632,928,203,878,236,
797,765,005,646,763,928,453,701,694,377,265,684,143,046,321,282,764,979,083,
182,250,694,717,982,352,681,562,875,765,556,564,794,851,441,486,312,671,280,
377,368,497,845,354,598,297,324,179,504,268,156,169,722,637,970,929,161,993,
830,650,710,520,047,850,086,740,567,960,555,971,606,404,871,147,740,750,246,
748,896,186,498,057,890,856,854,859,676,485,744,411,823,701,254,739,360,439,
256,896,414,555,379,941,312,447,407,448,849,804,181,841,404,759,879,968,519,
999,094,249,287,982,283,627,954,202,953,214,966,089,036,400,823,611,323,603,
185,410,042,960,386,024,623,024,829,565,997,141,518,564,550,460,277,481,996,
174,114,539,968,033,935,213,958,772,596,874,495,184,775,714,084,948,120,714,
202,605,306,048,486,582,454,187,633,049,958,201,089,367,213,116,147,176,301,
959,426,629,413,729,445,712,381,930,823,833,157,946,163,188,567,134,812,032,
136,485,678,103,121,239,940,330,432,521,977,300,021,414,769,576,765,113,293,
123,846,152,511,019,091,568,692,364,593,464,816,177,236,839,814,157,817,069,
797,825,623,402,477,943,326,876,379,462,334,250,718,316,497,640,632,868,206,
372,952,277,808,340,095,829,466,544,482,190,518,967,293,196,252,088,139,354,
711,972,434,959,946,447,855,423,851,094,416,331,301,349,031,257,879,155,386,
327,497,386,394,748,792,793,798,979,115,530,039,191,037,246,585,343,447,956,
606,558,651,228,454,712,833,342,964,788,405,209,846,416,757,725,447,767,822,
017,521,776,242,010,770,273,449,037,025,023,921,541,559,160,483,641,596,875,
096,861,500,419,143,715,616,243,766,171,004,779,439,044,615,950,259,605,108,
539,651,291,483,102,693,472,154,648,493,205,656,293,953,779,722,861,653,559,
214,396,503,640,229,508,620,863,057,600,969,373,609,273,932,578,055,103,740,
051,398,335,405,550,940,967,009,606,990,172,827,428,534,832,777,629,985,049,
157,046,553,999,046,473,893,357,112,042,718,756,982,539,966,533,034,257,082,
929,504,364,175,642,671,451,832,964,292,474,329,847,574,235,352,392,943,630,
452,609,760,458,055,780,180,289,909,335,332,442,992,361,673,101,720,258,365,
920,983,543,873,105,978,972,948,363,294,591,597,574,007,061,877,839,840,222,
452,324,079,044,718,496,176,100,371,270,966,666,940,709,668,250,476,606,986,
923,190,908,447,632,018,416,032,167,524,293,474,764,509,586,899,089,168,738,
430,963,759,433,339,138,961,041,655,547,930,302,798,878,240,693,614,314,323,
414,609,441,588,164,074,741,947,354,311,923,479,324,842,364,735,289,345,431,
580,036,338,025,089,421,542,014,653,424,392,096,263,413,684,603,097,132,982,
452,630,361,479,825,694,128,662,462,695,939,553,684,742,017,541,572,218,243,
877,750,299,049,758,474,930,813,434,458,278,359,024,293,053,868,509,184,934,
148,282,717,319,415,116,059,530,752,287,610,126,549,518,122,604,470,962,335,
487,005,854,299,051,317,289,472,697,340,997,230,254,235,534,583,981,054,589,
673,804,403,608,730,282,941,183,548,535,250,234,162,294,699,253,870,716,406,
986,845,449,994,239,363,138,491,241,790,202,803,679,856,898,400,798,845,679,
185,450,161,978,346,785,642,478,350,943,760,444,142,540,504,228,836,607,229,
375,158,589,179,385,507,296,294,784,648,436,060,952,100,164,675,511,149,438,
158,296,014,905,527,906,716,750,619,446,589,021,985,643,292,687,497,063,963,
894,156,206,957,428,634,285,352,009,387,547,248,420,462,557,712,542,167,486,
457,710,159,763,019,209,842,128,023,354,640,986,530,349,021,840,460,371,407,
002,325,546,285,339,346,171,992,656,380,145,766,766,093,300,273,426,700,994,
082,492,035,891,606,328,523,356,718,155,427,732,759,064,642,733,248,225,174,
895,939,510,409,460,796,402,524,242,755,870,164,347,581,201,568,193,628,111,
089,928,845,067,585,130,637,704,763,804,384,123,916,079,130,360,376,595,161,
792,499,927,999,109,958,167,285,609,043,105,676,865,154,860,172,964,591,430,
108,191,211,878,603,541,484,508,824,497,311,711,078,276,589,817,323,534,018,
521,079,262,419,849,016,869,845,348,992,515,473,579,154,020,440,019,847,524,
676,360,089,341,939,329,815,197,207,146,340,244,703,254,264,954,751,193,056,
413,835,463,652,396,519,486,690,507,735,604,275,595,277,301,834,530,246,104,
738,285,224,355,085,783,825,666,248,624,410,436,474,951,719,682,534,094,206,
778,643,790,651,745,062,005,821,079,752,126,737,837,028,971,610,152,688,346,
932,931,897,704,468,178,950,663,232,052,948,297,842,814,233,696,500,251,143,
186,604,143,482,937,883,773,318,459,971,413,902,804,294,063,972,060,091,406,
571,837,218,745,455,589,429,950,935,258,166,504,353,408,769,194,542,426,574,
463,300,093,309,702,618,625,143,312,422,792,250,708,574,062,285,280,019,318,
321,076,290,191,222,781,407,264,186,198,356,069,531,250,344,884,727,277,116,
276,075,273,943,108,860,643,832,784,258,699,157,533,232,129,715,257,691,264,
443,817,853,545,398,268,266,342,741,703,313,974,882,358,371,904,883,747,041,
161,719,058,356,275,059,170,403,978,084,170,189,895,483,345,528,686,936,504,
766,101,169,375,180,848,159,934,148,424,504,244,957,900,599,510,366,122,473,
976,990,036,151,035,494,321,392,084,169,225,069,788,228,472,359,741,515,172,
078,539,034,454,653,364,257,662,905,690,626,268,696,366,367,178,440,561,054,
527,247,201,759,202,292,885,879,623,412,531,183,635,567,624,706,041,978,629,
584,332,791,237,473,945,063,600,688,813,637,502,408,535,207,519,314,467,756,
331,968,673,164,175,596,033,589,057,977,750,493,826,879,792,788,963,062,171,
919,758,607,849,919,752,379,541,531,261,935,646,187,646,248,044,927,043,133,
437,959,842,061,315,407,438,160,615,290,384,504,490,428,518,647,544,549,644,
701,808,216,382,865,126,651,559,962,720,109,796,432,356,910,932,275,794,740,
121,546,063,737,409,193,072,568,017,142,971,513,771,706,842,564,689,222,983,
251,339,750,204,165,047,448,606,825,729,886,401,603,134,524,419,736,634,375,
630,902,273,755,041,855,227,474,246,765,060,232,125,571,687,861,786,718,143,
514,083,338,425,459,944,295,626,618,028,720,291,087,771,169,737,953,421,502,
853,852,307,706,375,319,083,321,400,366,914,893,960,178,367,388,270,944,024,
555,210,305,525,439,806,387,166,132,985,769,002,428,784,391,610,007,368,303,
327,341,502,715,397,567,916,695,590,192,474,177,578,071,174,857,828,334,414,
065,577,079,576,924,905,013,122,295,383,938,284,492,560,643,570,879,175,146,
436,176,632,558,239,521,849,274,704,398,365,558,899,247,988,660,290,540,714,
807,129,604,537,764,502,491,506,560,407,540,185,186,124,194,489,524,459,683,
404,798,844,658,126,519,931,941,167,998,609,336,842,500,293,119,386,666,516,
545,490,513,516,147,653,043,124,674,286,123,411,344,307,658,526,593,999,484,
376,329,491,401,016,876,936,935,591,114,472,837,495,344,810,147,155,574,189,
702,518,152,495,482,662,891,461,760,886,803,190,456,509,974,476,623,869,069,
963,983,241,796,742,821,537,964,085,993,955,219,314,641,364,028,642,672,701,
772,376,833,043,199,848,427,138,613,803,290,801,924,078,434,521,680,551,884,
218,969,856,774,695,403,326,395,551,111,835,352,912,233,340,536,757,076,424,
144,144,560,878,833,493,417,769,324,891,062,977,548,607,037,784,951,008,389,
147,808,921,216,184,918,807,884,193,228,403,075,923,696,151,675,048,152,743,
410,663,612,504,579,640,138,319,522,372,247,226,984,441,208,398,962,998,681,
364,193,911,994,920,879,153,135,359,766,845,958,609,795,387,685,414,713,906,
705,395,908,312,053,110,752,190,709,231,728,778,540,235,191,567,860,830,508,
575,897,311,936,745,328,345,075,224,952,967,198,165,496,452,512,613,915,297,
885,096,097,292,957,404,104,226,942,747,162,339,754,842,552,514,083,795,728,
404,010,833,902,755,409,125,092,743,581,454,716,476,106,796,162,417,139,522,
624,029,345,117,157,727,951,306,730,975,041,767,022,230,835,192,721,037,592,
406,554,575,689,447,077,819,572,592,343,307,821,832,533,387,367,529,555,789,
783,840,460,336,093,349,640,041,826,090,939,347,044,784,400,009,602,004,999,
558,007,819,244,527,352,271,223,880,655,376,025,148,077,214,124,617,381,285,
168,525,404,629,491,298,160,476,328,458,417,231,196,408,770,711,429,318,499,
986,278,313,132,429,303,654,822,189,806,753,884,405,475,408,356,924,054,908,
613,069,172,231,583,059,048,283,978,295,379,146,796,669,739,580,818,218,282,
960,321,763,770,058,711,692,142,100,052,651,766,092,696,072,378,714,841,015,
843,129,726,810,669,337,644,366,223,753,723,854,369,545,393,164,457,108,338,
577,138,455,741,697,945,216,661,461,590,225,359,423,840,411,194,607,894,307,
168,101,743,515,215,794,301,950,082,309,302,858,101,414,149,135,248,927,668,
054,164,480,625,006,396,350,734,888,351,136,761,860,580,229,550,435,038,839,
404,847,561,140,991,678,085,870,737,465,005,302,778,012,467,122,403,743,570,
688,193,384,346,507,596,464,096,087,416,021,002,057,374,485,682,568,530,747,
580,828,556,276,690,129,845,308,516,536,990,000,412,255,730,929,244,111,188,
534,656,852,015,471,081,052,813,810,153,214,445,528,156,207,917,764,841,130,
850,628,450,786,465,198,471,984,320,435,566,180,918,854,180,807,543,893,544,
231,012,903,494,226,993,274,139,933,538,281,561,782,149,910,582,104,002,959,
726,844,667,321,111,632,920,943,768,007,418,218,316,860,296,235,105,601,649,
011,844,065,056,188,562,718,431,530,845,680,621,637,925,998,383,005,168,273,
952,227,404,657,960,159,364,217,912,164,799,439,632,275,669,095,835,046,249,
666,211,176,087,369,611,500,337,003,906,911,459,743,251,239,400,585,605,231,
040,220,999,216,009,578,500,508,806,231,096,438,073,341,876,726,443,568,127,
175,725,774,981,258,904,914,076,126,715,750,155,162,264,551,059,291,404,800,
239,591,876,349,549,206,237,924,898,689,862,033,370,392,389,330,973,104,672,
081,308,619,366,190,148,372,317,213,141,064,189,717,176,246,832,769,567,599,
558,344,332,880,298,069,358,625,301,188,053,299,459,804,515,780,322,800,196,
799,684,653,387,344,437,719,223,793,439,067,665,896,457,096,636,219,524,055,
681,559,478,178,984,631,596,316,095,869,836,789,563,914,628,898,362,124,881,
380,579,343,259,205,158,653,566,171,133,229,227,308,094,729,819,997,693,646,
373,430,731,007,995,866,840,071,546,441,970,617,544,584,774,892,485,913,955,
859,704,643,570,738,291,623,118,398,507,600,010,004,300,821,674,005,579,765,
715,812,776,689,131,541,916,534,085,393,286,340,162,841,840,507,979,522,723,
363,275,910,515,649,952,143,413,060,815,788,259,039,093,568,889,169,579,642,
166,020,562,376,624,816,728,117,547,948,771,848,820,927,271,468,287,181,224,
274,505,942,700,689,375,738,243,645,559,500,907,077,641,270,544,405,545,177,
677,158,996,085,283,996,897,439,419,284,174,515,090,381,252,098,665,186,156,
288,232,417,993,215,265,901,426,816,729,630,262,791,701,843,346,987,458,565,
516,892,822,154,707,475,164,562,610,067,228,629,121,035,340,092,767,113,924,
758,868,820,871,083,892,334,042,909,168,156,198,426,634,360,290,591,623,153,
004,758,433,730,816,796,635,941,284,669,113,142,468,958,266,609,325,914,165,
665,509,539,973,257,936,830,307,704,544,296,856,255,216,105,618,602,742,937,
178,069,662,793,166,797,746,145,410,431,286,524,514,209,706,929,636,728,452,
909,051,078,893,200,012,654,513,557,995,641,188,670,753,688,048,413,738,924,
611,248,643,168,711,188,598,016,733,034,601,427,703,955,064,771,503,193,841,
890,491,694,200,673,367,288,269,163,248,499,805,234,487,340,221,564,120,526,
047,618,178,658,871,981,512,083,111,378,536,407,145,158,827,919,645,785,581,
780,879,620,316,982,268,392,670,414,794,006,080,096,476,023,333,484,500,623,
390,858,354,477,317,852,392,055,343,667,754,971,781,992,586,790,646,700,165,
859,951,505,327,005,509,046,163,780,824,567,812,556,128,715,889,228,429,538,
771,911,287,108,606,114,363,937,490,552,837,211,814,674,108,148,437,260,499,
911,782,760,434,235,133,126,642,230,636,014,397,588,368,542,070,905,785,805,
986,973,681,901,347,575,320,393,135,144,653,747,821,782,743,095,042,589,559,
559,098,513,198,541,173,223,590,968,256,360,896,509,246,040,103,685,423,398,
852,541,125,286,276,214,099,782,449,809,660,030,180,095,762,221,397,293,230,
332,201,367,131,100,167,925,610,654,060,691,526,676,586,211,846,684,843,535,
532,499,604,471,074,756,605,923,022,874,799,006,554,555,192,116,436,224,176,
821,433,038,535,930,677,531,045,663,770,535,697,206,878,637,701,668,259,009,
494,715,919,467,219,865,322,866,774,602,149,040,663,191,584,656,128,431,794,
327,145,580,868,112,467,010,781,704,529,084,907,761,876,410,792,163,949,657,
555,361,232,136,108,386,663,223,624,174,297,039,238,461,776,291,089,030,555,
770,352,641,849,370,183,328,556,075,112,940,129,942,071,823,829,928,541,688,
387,327,769,342,400,167,954,482,340,615,577,907,830,981,347,828,733,682,534,
414,806,663,459,615,907,923,623,448,103,843,782,474,702,124,101,894,946,399,
930,384,685,303,052,460,927,572,873,482,432,894,484,021,476,957,902,784,541,
891,663,151,869,114,858,455,178,346,169,578,695,163,365,322,769,950,538,671,
654,608,547,617,810,373,578,059,471,699,742,568,733,746,331,823,659,921,670,
386,399,362,173,226,243,014,353,552,878,718,740,990,912,753,634,001,651,768,
491,371,098,826,575,373,534,253,026,635,602,996,444,664,404,299,735,043,112,
021,817,031,329,858,925,992,254,215,137,107,793,164,336,182,528,794,734,807,
993,209,289,176,675,357,857,742,279,156,909,929,268,586,378,878,183,682,126,
248,545,303,141,525,736,942,777,665,400,252,564,873,972,771,284,285,799,694,
297,910,436,969,570,818,710,735,625,340,462,577,062,467,442,852,954,092,336,
964,891,724,976,424,672,280,181,783,278,622,114,100,167,252,607,361,345,999,
015,314,007,239,802,127,853,713,465,980,006,029,314,753,157,847,291,930,816,
223,919,349,023,716,394,842,207,828,304,130,147,482,769,616,687,008,142,921,
784,008,028,059,722,950,793,650,434,852,266,573,428,552,975,607,976,475,848,
826,724,969,650,311,836,142,894,257,626,574,343,785,303,882,813,594,078,337,
727,583,986,730,508,928,563,528,664,371,745,362,626,090,214,664,816,199,947,
698,935,803,100,167,259,769,278,569,338,922,330,899,583,054,910,045,776,557,
466,622,948,298,309,555,889,238,837,105,447,700,228,181,696,955,660,031,173,
754,285,565,124,284,443,158,844,048,112,573,683,198,416,641,075,081,402,638,
771,299,984,411,476,217,750,419,474,116,148,600,706,936,925,143,016,867,209,
740,053,663,105,497,873,125,960,761,083,021,765,697,020,458,293,871,144,842,
986,662,547,767,363,936,000,094,039,871,493,537,403,699,138,232,629,116,727,
157,466,315,747,065,899,409,630,086,339,660,085,726,928,440,100,035,100,891,
547,799,415,933,891,185,442,997,329,198,873,833,320,236,898,528,329,838,346,
603,649,824,051,020,072,161,434,439,485,482,777,864,333,744,077,354,076,908,
331,313,478,156,276,942,341,831,706,794,797,409,601,470,708,364,549,534,799,
528,605,760,910,429,564,049,205,286,887,569,870,076,416,171,253,244,974,588,
914,332,355,327,079,774,010,466,263,818,147,101,944,479,617,283,267,326,610,
651,715,747,031,043,790,579,597,890,112,001,385,620,312,881,818,752,332,061,
804,906,704,763,949,402,543,328,387,541,888,567,571,997,092,842,218,633,149,
122,174,098,352,297,951,088,434,986,188,214,329,886,112,293,378,928,437,545,
749,843,957,731,403,556,394,791,734,364,725,971,750,516,995,164,919,618,137,
846,442,707,759,646,037,731,275,249,807,945,165,124,029,001,147,782,323,882,
466,584,270,316,295,821,588,596,458,534,865,140,296,059,163,331,643,364,944,
470,047,227,978,440,048,944,493,303,332,317,899,022,509,856,738,394,098,730,
857,819,714,799,261,844,242,727,859,277,004,536,555,836,516,177,289,082,130,
777,871,456,274,726,718,685,339,970,195,058,758,869,483,696,321,363,593,894,
934,359,809,463,721,170,053,889,012,043,350,792,835,636,531,002,164,978,825,
974,317,714,266,687,114,104,910,088,970,246,667,267,542,620,727,904,942,583,
116,947,351,729,334,370,857,732,398,950,373,352,258,172,718,325,425,236,350,
822,820,281,073,762,936,736,997,284,881,643,966,655,488,108,188,068,880,948,
769,939,829,681,305,344,405,037,418,070,089,340,917,748,567,535,521,415,054,
255,087,444,794,809,439,568,879,611,772,075,590,740,396,389,207,595,515,822,
482,936,457,776,900,557,429,994,511,220,210,565,618,479,523,657,656,907,610,
374,945,647,988,117,712,952,625,900,834,846,057,883,809,010,208,961,752,857,
993,748,152,177,988,526,098,968,390,988,791,343,310,552,739,612,126,847,230,
334,128,639,590,260,199,501,626,038,245,890,824,449,642,264,150,132,060,065,
908,592,320,441,930,203,377,706,938,379,056,415,763,800,759,274,896,477,554,
323,637,836,293,883,479,696,240,990,104,415,847,892,408,416,333,253,357,602,
740,315,733,782,043,947,560,954,570,845,530,804,557,128,431,805,056,441,575,
281,747,106,836,716,592,938,463,487,144,181,705,603,467,191,362,103,366,226,
312,773,389,043,922,686,577,787,050,680,877,799,527,057,734,702,126,972,143,
737,962,596,496,343,920,612,054,833,508,487,233,145,385,561,118,797,298,189,
182,624,404,072,198,071,976,161,888,046,877,826,891,774,013,758,811,598,975,
999,888,992,107,028,274,805,969,003,475,843,170,609,088,298,686,437,342,770,
877,759,282,541,330,040,253,563,656,454,769,813,730,400,723,474,526,655,232,
722,083,767,857,910,036,300,605,894,795,290,233,252,146,380,542,561,688,864,
165,964,795,255,862,019,619,606,265,769,858,396,514,738,090,890,548,547,959,
140,953,236,106,146,200,935,044,189,267,532,372,196,018,507,799,993,310,616,
998,937,572,126,165,970,541,118,718,877,192,296,113,603,537,927,791,350,357,
282,444,931,685,148,144,127,245,218,163,951,471,979,108,673,644,198,103,367,
179,998,598,576,415,597,152,990,708,966,241,312,322,514,482,095,646,673,009,
719,279,288,870,441,049,634,803,838,355,405,557,215,743,710,975,319,383,613,
352,970,065,181,342,857,097,611,457,086,771,867,932,940,212,811,054,938,474,
511,551,528,884,172,771,707,782,036,252,390,387,432,902,219,704,627,144,524,
191,236,130,176,092,268,650,978,916,921,133,277,218,187,806,575,013,065,296,
986,958,113,970,936,444,817,187,096,356,392,904,445,473,372,752,922,132,346,
302,973,119,042,868,998,821,387,976,301,052,828,052,633,422,897,045,129,822,
786,062,260,964,956,960,841,632,986,399,266,172,126,319,908,646,429,941,964,
598,658,533,893,041,756,156,362,671,422,689,254,552,649,113,154,851,249,045,
474,022,509,937,043,958,878,717,889,976,680,541,868,999,739,938,497,043,856,
484,629,369,428,913,813,738,653,903,759,087,949,826,749,281,325,071,324,297,
837,456,392,489,907,412,828,632,884,131,763,095,853,680,250,733,023,590,788,
535,119,246,975,858,386,470,822,544,345,596,923,221,764,450,624,936,419,329,
541,511,478,147,614,970,191,416,736,395,677,261,527,090,994,807,648,041,944,
497,748,579,088,135,519,421,926,666,341,357,758,797,354,084,265,812,580,763,
989,183,980,630,157,154,971,463,952,864,693,530,769,575,378,897,555,193,125,
767,068,135,954,864,105,009,833,359,342,709,651,075,961,568,378,482,331,819,
312,297,395,488,727,418,753,488,181,602,819,402,047,277,512,800,203,660,865,
741,505,488,447,264,713,626,446,938,949,693,712,486,657,510,932,877,881,905,
958,400,312,512,535,535,480,621,446,501,568,122,240,284,964,073,202,963,508,
481,320,478,219,797,389,908,798,176,947,686,840,418,644,980,339,862,629,155,
100,861,479,840,852,467,802,169,853,365,670,840,958,833,571,033,932,604,850,
937,568,390,659,281,823,862,519,557,622,555,027,570,477,771,290,555,441,585,
450,836,405,872,140,667,984,177,288,555,812,104,420,642,793,732,519,414,475,
234,638,137,250,901,314,489,608,041,653,194,935,629,261,213,340,113,909,602,
507,220,443,898,850,703,474,770,360,511,646,536,734,824,613,739,283,921,262,
726,735,037,029,623,714,631,872,527,808,841,274,040,883,745,442,339,734,348,
976,626,718,166,561,496,355,976,287,810,537,686,559,364,065,148,884,933,639,
564,792,157,064,803,269,059,972,857,609,269,102,863,126,550,444,582,810,797,
068,199,307,188,732,795,715,212,606,310,073,868,293,918,758,963,031,466,670,
479,241,686,378,552,466,940,602,025,008,289,326,544,688,535,067,035,495,593,
586,590,281,595,451,368,670,330,498,999,670,021,521,912,135,956,646,414,183,
729,410,544,226,882,050,705,673,010,508,165,937,096,051,887,290,240,675,889,
486,792,262,018,950,064,840,481,258,147,019,943,282,156,195,692,499,596,538,
121,949,682,869,081,961,215,847,449,302,182,043,473,251,563,175,119,427,702,
582,136,578,400,365,155,322,504,678,883,114,682,179,250,850,052,981,203,448,
392,789,647,588,567,616,432,031,379,844,914,930,469,322,694,455,271,847,842,
753,011,806,049,935,984,680,003,631,071,683,191,338,884,183,101,596,540,723,
211,530,635,989,756,642,338,964,973,126,811,059,980,531,697,561,602,825,354,
042,973,765,009,798,903,199,175,729,249,493,800,670,341,993,390,601,631,035,
579,808,658,476,990,344,446,958,597,634,438,549,679,413,422,277,949,152,069,
273,378,592,705,540,015,193,480,630,666,586,791,404,972,321,257,702,121,197,
432,956,671,858,488,041,782,599,641,237,621,432,225,776,722,283,920,286,831,
421,096,078,669,321,384,331,393,732,365,454,489,178,708,233,257,960,760,201,
573,303,470,422,437,947,201,068,009,575,713,237,971,750,198,917,942,546,202,
355,256,565,487,205,958,418,149,299,600,998,314,176,227,726,443,165,337,259,
054,484,590,003,657,423,774,616,017,017,365,492,830,316,244,448,618,613,888,
871,593,215,566,161,459,210,444,239,362,158,603,120,675,169,177,307,611,659,
749,033,743,752,082,522,615,747,342,175,694,055,790,084,790,470,816,633,163,
990,773,602,294,857,528,491,205,613,928,093,960,931,410,481,139,602,398,665,
996,110,501,356,191,491,493,754,199,460,292,658,295,578,991,795,801,928,202,
089,351,547,202,410,849,689,074,364,291,931,015,302,462,586,841,473,309,987,
207,566,941,366,886,645,793,809,953,047,486,375,584,900,615,680,378,313,309,
873,386,319,458,831,295,212,119,931,829,316,838,334,560,968,896,989,506,364,
643,903,023,000,056,593,516,148,419,191,213,907,083,593,243,770,449,152,293,
987,748,586,809,806,258,808,324,729,894,633,799,371,023,614,391,316,164,829,
614,607,240,668,229,120,314,366,451,952,968,417,150,721,785,662,316,414,524,
924,496,986,130,862,601,706,588,371,092,816,821,242,979,168,343,443,891,936,
505,655,041,297,316,146,012,010,758,540,945,121,855,116,976,072,034,666,212,
244,555,446,256,034,253,354,397,616,964,120,846,662,319,283,050,671,250,655,
762,388,086,916,971,119,869,356,971,265,560,552,767,656,451,270,763,389,179,
114,579,428,917,044,147,810,903,521,711,604,767,227,790,308,163,451,827,445,
354,658,663,972,985,008,269,262,013,412,347,229,166,464,511,089,196,108,940,
183,308,679,070,660,401,714,058,788,826,391,587,652,426,367,995,143,390,520,
651,457,411,272,825,359,985,339,223,395,961,528,975,178,955,792,885,525,160,
508,860,181,788,106,474,959,581,042,306,150,515,011,048,755,872,540,983,439,
113,915,576,703,791,939,897,228,445,571,338,671,359,644,063,838,938,678,575,
048,860,255,045,508,968,119,178,304,364,349,515,286,929,758,307,522,293,385,
053,912,862,599,298,624,093,330,233,088,111,085,886,847,973,251,171,297,123,
008,314,132,172,805,321,097,785,504,033,712,388,106,259,219,949,778,609,201,
203,684,515,608,329,094,611,970,592,464,172,733,822,652,709,648,492,592,853,
820,711,497,797,216,359,976,842,632,297,656,040,386,235,651,478,671,936,268,
661,422,886,552,553,836,329,008,295,790,890,094,079,488,036,463,743,966,686,
605,565,437,722,079,564,634,530,555,421,115,587,339,715,931,122,349,164,665,
185,408,737,673,895,140,559,136,621,826,906,298,991,978,059,123,229,842,520,
382,318,459,291,219,665,386,349,730,779,665,297,553,388,377,774,707,307,192,
635,066,014,218,338,086,524,088,091,107,488,368,036,449,430,231,292,571,464,
614,865,519,595,467,107,650,926,521,920,148,014,163,423,217,531,129,163,961,
850,981,287,146,829,307,199,083,392,299,865,907,633,284,729,872,411,707,228,
023,530,364,976,462,952,478,012,920,466,835,862,963,619,382,368,540,188,744,
657,446,358,312,385,285,381,662,997,727,197,772,374,239,747,907,432,110,042,
801,909,884,144,784,245,296,577,632,335,410,855,251,697,110,065,054,420,983,
252,764,144,200,826,060,189,743,967,634,346,848,036,652,872,664,641,255,267,
795,023,699,004,243,444,219,094,571,369,339,028,088,842,184,306,010,528,253,
311,722,724,754,444,955,820,742,249,092,595,737,221,802,599,493,151,444,995,
139,673,486,167,377,436,210,422,082,999,912,956,632,751,252,773,436,875,977,
161,566,469,158,546,627,099,726,960,077,555,117,288,863,441,427,395,968,662,
340,085,047,146,900,788,572,391,740,685,798,689,283,033,238,704,820,465,198,
175,205,462,903,749,816,572,534,054,551,110,550,041,630,023,530,073,953,377,
732,887,836,347,909,851,952,352,190,287,039,016,828,021,688,292,357,666,887,
438,719,138,506,787,795,783,264,531,782,419,803,987,253,808,075,247,730,889,
396,456,500,286,106,908,096,396,373,551,981,599,113,507,069,444,299,666,408,
574,642,667,423,661,697,734,567,838,413,166,627,194,673,346,770,418,858,409,
317,141,612,393,248,776,561,193,294,933,415,141,187,860,915,515,868,770,922,
579,195,330,445,178,680,630,390,099,126,977,287,533,149,089,840,202,654,483,
911,901,944,335,935,822,005,796,137,755,898,239,441,375,607,378,559,021,836,
061,089,411,057,668,352,671,170,905,429,185,785,118,499,685,705,427,124,019,
187,833,087,373,714,921,362,338,095,121,125,330,627,883,354,121,323,321,685,
433,785,254,687,828,546,828,680,779,646,835,001,450,502,531,121,926,561,586,
049,030,286,575,829,075,481,534,949,702,854,697,392,998,237,541,228,562,415,
598,560,780,158,036,932,898,513,538,624,604,330,974,963,586,900,764,609,743,
669,802,934,536,281,389,632,182,782,680,323,445,329,905,835,928,392,538,615,
033,584,326,975,694,856,951,758,027,529,488,294,279,214,492,474,649,084,986,
977,951,027,405,957,181,778,532,031,515,656,254,938,566,461,178,884,269,848,
481,831,384,585,156,932,830,952,690,267,422,062,163,210,412,243,383,792,327,
591,396,681,146,760,507,314,803,297,719,273,034,833,757,220,874,885,572,405,
398,771,559,080,613,636,509,536,180,310,152,789,141,903,457,441,779,950,841,
582,680,706,043,129,293,057,039,104,063,472,818,624,977,078,116,400,073,142,
110,699,634,846,919,733,737,680,375,047,010,632,802,975,831,546,031,962,478,
329,994,800,507,319,258,168,915,704,956,056,521,854,730,643,264,742,358,969,
972,813,269,052,391,869,218,548,158,061,049,794,475,135,579,064,498,514,389,
367,552,290,524,108,905,676,267,696,823,455,994,844,618,803,977,590,633,841,
555,556,923,972,389,062,781,419,768,894,504,623,902,638,237,493,359,237,700,
719,997,214,045,848,414,400,980,110,622,951,393,578,312,994,632,756,659,580,
698,532,437,940,217,701,325,380,064,198,718,337,532,601,618,635,885,748,206,
481,653,404,688,934,476,994,374,737,592,685,241,379,113,279,864,135,508,623,
196,636,850,583,295,671,481,365,963,079,648,256,871,080,996,767,301,754,500,
784,726,053,762,634,052,665,570,188,571,744,371,104,490,955,056,184,208,596,
342,344,808,263,549,954,951,446,659,931,976,461,591,630,324,319,316,053,705,
022,940,025,059,705,213,308,035,356,033,276,440,578,934,566,226,313,750,092,
321,549,249,182,745,353,202,037,473,460,539,859,047,385,989,087,723,232,398,
730,888,714,181,511,561,078,370,070,970,017,365,094,589,623,670,423,287,057,
054,877,257,770,317,180,904,364,425,531,661,223,885,517,760,926,564,346,209,
203,994,215,829,657,461,130,789,645,929,602,595,609,893,780,404,921,139,481,
141,140,861,418,856,667,828,591,138,804,594,514,768,264,273,733,978,228,962,
823,114,453,022,880,138,325,270,630,951,717,514,254,663,724,452,084,814,960,
709,508,336,727,163,594,902,268,548,862,086,649,794,320,101,634,039,002,255,
721,083,310,574,591,673,742,870,093,831,387,281,927,434,285,822,642,086,574,
479,475,600,236,533,942,509,127,160,750,189,858,716,739,438,538,656,508,293,
126,337,480,705,469,935,112,073,079,049,597,510,503,645,605,718,958,416,544,
918,698,704,626,864,830,483,858,824,941,539,721,083,363,844,059,715,297,205,
462,340,430,634,150,560,624,476,811,804,005,086,130,412,454,199,140,777,865,
520,483,013,601,622,304,933,709,209,759,458,389,228,030,325,973,904,355,196,
278,246,058,792,528,287,348,427,688,496,177,976,288,571,791,268,069,814,090,
364,202,396,460,913,358,234,954,158,953,789,080,027,312,987,554,727,187,447,
867,733,713,131,160,422,593,432,948,801,869,439,137,252,790,136,706,569,324,
399,063,520,360,240,149,306,790,381,643,158,340,407,008,185,946,515,650,185,
443,293,399,231,148,802,286,815,863,784,810,142,012,199,711,641,560,407,252,
447,940,188,103,725,263,950,306,693,303,888,778,176,609,439,896,583,882,719,
859,993,886,945,378,317,358,811,027,824,426,138,337,175,872,467,893,518,264,
539,108,671,349,644,225,722,782,299,594,964,350,316,195,005,412,481,170,764,
425,331,580,294,105,162,242,461,525,322,930,990,210,743,322,061,067,655,948,
998,032,881,994,171,675,338,149,345,529,261,870,739,081,300,526,278,061,434,
780,999,516,636,046,112,837,660,443,269,560,604,860,209,208,610,400,623,579,
492,846,539,751,799,760,897,747,637,676,059,421,237,359,965,254,367,757,782,
830,765,072,063,838,524,620,577,023,231,549,907,197,722,033,440,454,933,696,
706,124,509,473,391,360,179,682,779,376,902,089,229,700,811,359,431,891,955,
504,423,639,490,508,093,643,335,603,142,673,364,173,496,847,595,103,569,867,
690,629,957,206,950,788,425,699,025,770,588,693,874,598,684,264,812,676,438,
739,774,592,328,222,707,270,928,968,361,449,661,061,729,452,694,436,492,308,
740,921,346,088,675,573,361,429,558,904,504,451,639,891,293,568,917,351,959,
926,489,484,624,522,088,266,173,199,827,661,858,977,436,448,547,373,537,567,
072,764,805,386,515,835,566,663,872,388,556,483,204,460,097,805,852,483,434,
687,275,435,180,738,413,367,484,847,773,690,195,171,705,452,841,138,207,030,
050,536,728,898,801,019,075,809,718,594,464,561,771,838,174,643,189,215,696,
077,215,726,676,339,554,717,664,280,746,407,161,648,880,106,565,762,364,647,
955,619,457,102,737,106,776,964,474,914,227,659,305,475,507,929,457,547,360,
180,160,519,146,787,114,651,669,808,244,571,647,725,574,398,995,184,628,644,
361,287,210,417,337,064,332,807,704,712,512,082,832,873,770,068,680,796,532,
128,041,843,566,226,629,280,116,822,708,217,382,789,683,442,999,966,122,579,
580,678,800,978,546,434,760,333,410,830,743,383,623,777,087,080,456,630,631,
843,400,787,407,712,834,714,099,862,874,733,578,922,690,320,799,603,063,087,
718,873,899,684,264,592,442,183,021,812,212,257,265,628,160,693,682,376,752,
133,969,389,841,434,345,444,132,698,085,706,795,439,587,716,478,760,583,205,
652,659,866,021,893,393,246,889,572,066,373,324,799,550,523,448,396,014,760,
716,456,336,578,452,315,674,469,700,833,776,794,818,168,228,631,754,380,969,
431,302,092,516,162,919,795,322,448,362,515,667,237,942,949,704,481,321,357,
599,421,995,113,862,900,888,134,626,311,859,035,244,452,908,531,519,488,677,
374,856,514,188,008,711,124,190,530,582,739,574,957,416,150,710,452,284,193,
591,232,082,239,321,578,954,723,622,074,552,680,231,712,560,979,016,892,043,
503,410,778,130,988,452,345,189,371,688,790,867,377,029,721,641,923,742,691,
812,946,957,374,498,859,842,847,707,045,435,766,039,196,175,521,984,667,760,
321,046,465,736,173,038,116,154,700,478,165,777,089,225,192,722,346,482,877,
649,690,070,424,476,651,572,278,758,789,792,397,959,611,689,286,111,266,397,
946,636,493,131,619,959,897,477,553,581,372,166,510,600,254,093,788,165,375,
860,938,327,825,199,057,649,043,003,290,264,364,887,363,363,016,285,284,439,
513,467,790,505,604,069,861,191,617,390,854,036,989,577,569,772,701,259,695,
806,200,727,691,252,724,583,968,710,035,527,534,568,076,112,665,099,211,855,
065,042,980,571,294,586,432,165,044,251,521,778,054,717,366,861,255,696,009,
800,851,654,947,742,190,323,622,202,123,627,173,472,398,850,959,025,764,645,
292,943,384,666,125,318,467,552,367,353,630,643,575,230,962,974,243,566,489,
924,004,549,051,967,193,849,530,563,070,844,527,545,475,266,838,810,148,581,
658,856,591,834,569,078,885,926,209,010,803,056,041,460,375,790,646,110,165,
210,303,057,935,960,181,676,663,298,773,388,572,714,497,153,338,559,098,916,
502,028,783,159,177,427,718,845,011,388,395,068,828,408,001,136,821,674,924,
733,426,111,499,429,080,097,264,301,586,561,824,956,790,928,395,884,683,925,
461,054,671,789,968,721,340,351,719,285,900,243,735,108,996,476,274,554,340,
393,460,398,894,813,678,701,190,931,629,995,883,261,703,548,325,127,482,048,
282,597,175,760,478,658,068,714,120,011,173,954,659,370,904,452,373,230,704,
328,712,611,892,482,296,519,579,419,214,241,249,231,533,169,068,829,922,275,
851,038,714,555,423,690,634,488,753,249,646,307,723,127,027,188,579,293,701,
871,724,511,287,223,965,539,888,326,432,585,112,280,433,472,345,263,166,128,
255,699,099,301,041,078,642,975,525,231,306,654,871,952,838,946,517,360,487,
034,450,129,488,232,289,916,191,166,690,958,007,917,216,799,902,444,976,023,
899,686,757,796,447,154,947,493,452,763,169,581,704,719,334,836,416,937,023,
417,038,709,233,368,644,164,504,806,045,505,951,310,594,800,074,870,016,395,
344,636,811,397,594,037,787,535,691,309,105,654,300,631,886,903,728,723,941,
916,547,111,986,635,263,253,250,611,730,031,156,820,344,269,015,649,113,611,
145,464,985,509,597,796,726,038,222,071,806,420,927,831,614,361,916,275,113,
704,098,272,705,397,807,870,148,779,584,228,825,333,175,780,825,885,700,687,
369,131,440,982,520,943,278,195,107,082,608,899,245,009,313,147,612,352,306,
916,287,064,671,609,105,574,111,588,040,652,278,150,162,395,262,510,211,787,
397,656,319,993,792,272,876,353,152,257,671,881,212,748,598,722,279,497,651,
294,083,800,406,904,573,797,677,312,417,028,491,957,556,543,465,709,782,273,
368,869,984,606,476,400,583,181,618,495,034,802,295,013,882,361,263,594,002,
171,381,747,374,267,580,812,221,096,733,818,593,999,919,129,861,021,204,378,
616,307,371,700,592,484,898,900,414,532,805,771,131,878,181,975,906,930,174,
379,044,468,843,933,446,068,355,516,211,315,769,137,365,104,949,254,718,376,
839,653,058,402,393,588,627,046,937,548,238,189,938,491,481,640,859,209,518,
949,107,543,560,553,249,523,584,022,113,015,103,379,949,656,674,470,059,484,
995,916,071,393,184,364,028,587,646,605,269,932,650,861,123,384,723,098,484,
095,976,199,760,357,575,057,610,961,138,838,836,781,005,091,754,055,583,019,
272,022,806,536,895,015,991,037,425,985,896,913,248,738,998,090,303,925,086,
677,757,409,475,724,085,702,007,501,321,801,306,873,791,198,038,080,640,685,
710,124,254,191,298,939,865,006,663,047,779,575,483,676,319,186,505,147,996,
443,727,861,463,885,612,249,011,458,854,453,359,633,589,950,229,740,870,430,
539,005,540,318,466,067,445,992,922,218,363,776,069,530,656,628,296,981,071,
253,745,167,279,169,630,527,846,347,014,937,478,301,652,252,372,408,248,684,
796,350,983,314,415,320,602,064,720,988,978,669,873,142,537,973,899,933,047,
792,482,044,561,174,075,509,245,855,027,130,397,741,183,264,965,027,770,660,
591,748,448,068,668,202,840,275,805,410,777,425,121,798,457,621,297,113,423,
116,902,806,544,308,592,967,606,537,715,101,375,130,462,676,369,696,497,989,
773,823,858,020,620,442,229,323,625,800,246,719,982,202,892,596,165,979,998,
525,845,272,441,520,392,815,351,641,445,876,190,347,010,333,745,463,533,661,
070,943,666,305,451,141,103,981,921,050,258,916,660,798,387,690,848,328,257,
554,395,425,449,795,869,434,013,194,823,094,037,966,054,658,698,182,147,841,
010,462,733,582,755,824,879,847,414,938,521,705,666,103,949,953,307,802,156,
192,509,011,283,685,373,153,372,457,844,716,728,975,066,106,794,880,949,034,
281,372,578,771,229,341,587,964,299,874,281,154,868,642,977,124,365,028,275,
161,364,602,006,217,889,601,836,481,885,255,884,853,696,690,316,400,647,385,
306,060,077,798,565,038,912,452,529,914,817,632,545,555,929,847,975,257,931,
108,294,378,568,959,999,015,360,110,204,332,279,732,626,126,996,439,796,434,
971,748,678,501,648,327,567,467,507,765,860,298,686,514,152,499,850,811,631,
319,149,470,453,893,587,369,387,169,223,214,748,359,245,100,478,974,006,030,
664,399,783,279,764,120,009,931,641,744,955,005,249,345,188,663,012,743,826,
253,101,259,203,953,619,350,409,957,284,059,840,667,856,515,293,376,129,233,
111,878,010,613,640,890,431,943,141,655,995,840,138,884,654,753,594,180,579,
559,936,959,703,401,005,616,536,704,841,011,693,888,014,531,987,062,392,189,
894,005,371,428,479,817,013,234,763,094,850,987,785,094,933,901,855,786,540,
863,676,594,340,154,077,401,775,672,524,602,706,732,748,490,330,392,366,581,
646,981,361,026,427,073,883,891,510,098,849,987,877,985,372,258,152,024,898,
807,136,373,109,669,342,071,323,390,732,116,038,815,885,295,291,328,260,743,
698,642,823,787,954,395,918,573,896,210,156,160,004,950,439,296,593,285,563,
087,428,924,105,381,561,550,180,586,210,109,485,774,080,227,302,014,554,202,
357,664,473,059,275,464,378,521,406,553,300,461,531,305,030,614,928,496,008,
918,460,137,562,345,667,998,115,307,697,626,889,562,186,936,433,716,041,615,
826,540,352,474,392,657,138,913,166,946,849,879,998,990,321,836,008,597,636,
033,368,835,973,727,134,113,291,559,811,458,014,352,559,074,174,892,101,140,
111,322,564,000,634,357,405,923,365,373,897,947,538,668,760,809,308,007,105,
119,013,335,729,335,563,758,299,528,432,024,246,557,457,111,772,848,849,769,
264,123,305,636,834,832,728,857,306,885,343,446,890,825,001,300,355,609,953,
273,232,927,032,367,794,573,517,770,844,634,114,331,926,804,677,508,715,283,
648,281,588,741,593,097,073,162,386,182,812,652,141,009,831,396,609,045,404,
432,804,975,155,300,143,127,765,566,010,782,339,542,934,161,503,735,106,380,
785,117,080,000,055,626,785,001,437,711,622,176,726,717,127,233,627,108,517,
388,053,089,786,514,221,568,035,897,261,886,156,849,342,831,735,908,515,057,
070,466,699,581,545,109,355,049,533,550,282,106,883,109,074,104,904,837,304,
637,868,261,586,755,476,382,308,491,728,341,252,426,709,273,854,917,896,412,
672,035,295,866,596,402,364,443,214,494,749,415,435,168,372,533,631,385,436,
368,429,821,110,032,460,881,232,990,081,575,448,654,758,956,894,130,971,749,
461,756,179,452,947,353,131,851,605,799,520,822,848,959,553,577,791,437,248,
480,217,852,933,529,461,539,693,414,430,097,917,014,391,244,007,823,645,616,
797,497,891,045,547,976,312,342,539,703,381,275,968,069,105,008,969,105,005,
105,033,939,463,996,950,472,806,991,003,494,302,655,126,020,651,194,191,628,
420,252,274,371,755,086,986,603,094,840,869,343,200,059,860,208,340,614,440,
561,726,215,963,493,109,055,129,264,411,362,372,018,027,402,506,855,617,406,
367,863,585,909,391,177,564,431,721,746,118,982,231,045,938,253,173,122,721,
928,050,303,183,628,096,775,787,966,380,751,464,637,210,801,916,469,398,490,
250,993,341,896,559,303,694,679,521,783,024,355,119,629,477,680,706,238,688,
432,534,056,892,075,693,279,531,311,764,617,120,309,502,664,750,423,352,384,
463,689,737,305,319,306,522,112,293,789,360,460,484,847,855,473,922,020,449,
600,117,337,659,735,171,580,986,840,626,778,542,586,352,290,990,799,673,649,
419,506,571,284,360,657,354,373,300,804,183,987,609,241,753,370,151,865,570,
687,457,429,680,863,857,162,309,259,315,092,496,978,235,250,590,077,903,008,
964,512,213,721,990,378,569,588,204,480,330,269,810,250,669,737,053,545,097,
007,689,695,455,957,279,993,832,933,414,900,611,285,043,465,200,600,464,919,
734,041,196,422,038,300,201,080,426,215,032,605,401,364,136,957,376,373,988,
749,329,157,581,240,692,211,970,408,165,594,735,518,182,416,756,656,473,061,
589,789,450,951,879,471,932,633,515,447,974,347,022,230,426,330,384,999,694,
920,982,732,908,077,248,929,553,584,940,361,363,672,651,037,617,283,263,522,
941,329,670,082,104,054,997,923,208,794,435,427,994,972,654,569,240,612,426,
088,655,665,175,031,448,832,612,389,874,205,670,603,862,603,643,880,038,726,
382,365,134,191,761,401,778,974,072,423,902,761,877,960,477,924,427,266,579,
617,096,657,620,674,162,032,593,351,911,078,911,719,689,263,567,678,210,985,
935,055,035,051,538,048,302,631,184,175,398,880,557,702,903,951,831,402,050,
813,405,073,093,955,076,987,264,153,737,364,600,585,204,123,616,722,771,848,
635,696,648,237,182,615,429,804,149,647,536,739,236,091,454,880,722,253,434,
358,211,190,744,278,925,394,016,439,355,350,449,598,609,877,093,565,600,472,
999,088,832,981,486,689,830,988,129,971,663,163,293,885,808,287,333,277,663,
145,638,093,268,143,511,857,018,841,266,443,842,304,845,758,712,087,543,750,
523,633,068,001,086,931,883,106,532,012,770,659,597,283,417,405,113,910,088,
137,713,893,207,410,430,500,177,376,618,222,545,102,416,204,674,519,383,563,
043,064,430,183,744,956,441,768,753,282,263,516,966,498,682,788,996,542,565,
158,275,727,714,224,290,239,924,334,553,356,051,590,181,478,232,166,688,015,
892,637,398,653,940,238,185,316,318,212,983,383,040,652,241,727,036,689,138,
751,110,661,571,423,166,222,437,011,447,388,182,560,857,331,606,553,940,369,
412,399,211,375,304,182,219,759,544,448,753,372,249,539,160,600,564,446,165,
883,528,994,127,411,189,374,673,545,349,832,554,210,872,370,404,531,562,672,
488,311,812,256,636,521,582,670,414,438,167,078,998,658,660,336,119,967,701,
409,196,452,973,032,650,744,736,009,392,257,242,705,237,645,492,828,279,409,
295,006,931,193,855,427,106,660,458,184,970,960,394,448,997,467,608,423,686,
500,449,435,313,627,515,662,250,221,323,241,888,107,756,203,223,555,035,851,
428,864,804,426,988,221,689,794,278,100,092,000,497,608,196,002,708,249,430,
065,941,995,444,090,722,287,923,320,495,793,105,869,988,982,408,801,624,049,
423,626,203,663,283,574,887,815,970,835,993,145,819,866,508,326,445,842,961,
786,403,510,412,145,207,875,953,274,945,177,496,210,341,272,573,577,390,199,
883,601,148,356,436,168,725,989,166,032,571,441,901,468,333,681,728,047,331,
885,018,738,453,966,225,145,860,893,211,874,044,880,200,439,478,633,865,337,
862,138,140,995,353,429,315,097,593,769,469,348,929,816,813,767,615,000,182,
249,868,841,814,805,148,246,819,347,164,536,548,213,996,351,455,567,168,923,
075,809,316,118,516,006,612,854,571,924,924,589,368,486,860,242,648,886,080,
861,174,874,165,387,202,976,526,105,181,447,548,374,642,552,065,727,303,668,
736,813,443,923,493,050,353,075,873,935,936,970,856,397,298,418,800,823,676,
971,041,405,900,503,383,962,617,522,487,629,738,888,471,780,125,016,791,849,
049,832,300,850,308,375,315,177,160,953,111,479,706,859,019,538,071,578,796,
083,070,878,628,260,238,339,345,233,351,941,661,706,553,406,104,122,307,295,
433,825,781,406,422,069,693,590,886,852,386,561,664,881,818,059,366,322,436,
604,186,595,341,506,842,932,458,959,527,636,925,143,220,248,227,535,554,384,
224,259,396,355,050,147,358,943,093,661,761,803,372,047,752,374,089,584,965,
958,054,838,512,207,030,068,133,089,592,786,862,566,128,275,542,443,888,242,
803,553,804,540,149,539,651,688,382,572,727,649,606,295,745,281,123,271,170,
620,143,120,416,338,382,583,834,235,087,053,596,528,398,045,479,743,280,953,
988,406,357,994,665,550,746,373,770,546,281,612,963,718,917,440,688,950,000,
563,756,107,124,692,606,389,151,850,053,192,399,856,559,886,871,749,823,063,
546,867,290,913,288,807,363,284,034,071,388,179,348,464,080,875,413,642,216,
232,560,262,445,649,457,933,723,047,703,577,613,299,620,110,272,652,172,992,
681,592,330,585,475,228,914,340,083,905,576,601,815,026,714,076,866,153,650,
822,090,745,589,782,993,189,326,255,946,398,999,830,511,155,811,666,248,141,
845,359,714,002,042,153,246,435,890,661,791,922,380,832,852,300,951,409,324,
888,919,968,552,598,985,441,531,080,271,835,231,751,093,066,666,964,372,073,
975,408,985,799,339,831,101,011,420,526,351,728,958,111,467,559,445,458,489,
506,342,309,476,307,098,345,488,705,417,929,768,791,659,000,788,579,087,693,
758,779,953,727,928,366,955,607,895,181,420,646,029,765,640,443,810,931,684,
102,590,065,564,255,334,062,128,456,638,710,851,345,530,658,870,863,218,423,
872,551,123,111,229,769,861,448,519,378,036,202,484,149,826,649,744,363,181,
733,767,337,747,999,586,633,368,022,222,412,453,448,088,842,464,616,996,310,
086,083,429,647,478,557,581,021,083,774,743,964,610,028,717,865,091,493,066,
094,336,164,226,751,911,039,728,771,512,641,526,079,036,763,007,284,611,548,
952,867,247,352,652,845,922,892,101,428,291,236,286,130,901,335,012,095,714,
370,345,162,214,214,648,214,496,574,887,705,532,297,445,582,275,486,957,963,
237,143,623,513,712,182,832,589,949,953,890,845,361,306,391,133,300,815,904,
057,916,680,932,351,590,946,192,263,221,329,460,501,282,446,663,001,511,869,
054,554,184,883,664,400,057,250,313,198,168,540,817,223,656,317,717,371,503,
579,115,370,004,158,377,348,282,932,480,320,246,817,438,068,729,298,743,658,
208,818,982,767,154,643,305,709,506,322,511,147,414,687,712,804,566,982,812,
493,227,048,217,220,667,636,021,374,650,987,430,148,352,469,399,801,563,552,
484,173,396,143,169,478,145,464,701,696,827,042,834,029,840,952,144,349,096,
398,041,416,020,391,275,382,600,857,121,615,277,207,590,001,336,671,504,943,
277,883,151,949,834,493,595,982,702,856,163,715,963,661,480,801,722,608,419,
493,117,210,205,087,247,596,865,057,672,888,383,320,495,132,535,153,626,086,
084,475,466,642,310,439,624,086,914,969,490,155,959,645,687,363,419,221,837,
736,759,969,406,540,332,137,743,514,390,418,388,726,283,761,410,467,910,286,
464,572,160,244,595,865,128,256,027,965,228,953,633,737,140,012,045,393,202,
470,515,510,480,150,732,986,192,983,835,086,630,027,456,308,513,059,263,420,
546,455,773,496,919,958,777,102,892,406,092,334,681,942,505,927,596,520,234,
763,960,268,940,480,010,380,336,026,666,832,869,920,269,860,201,918,662,834,
638,993,129,639,914,348,493,415,247,867,263,237,937,923,277,560,061,327,617,
877,642,615,448,049,530,424,068,722,457,907,926,902,311,322,884,702,658,738,
996,556,003,911,739,175,076,183,023,741,366,091,101,488,717,101,748,064,081,
976,936,444,980,000,201,730,718,836,779,967,183,772,763,183,233,768,517,673,
459,390,608,986,201,527,734,732,613,588,920,581,595,778,590,877,295,214,316,
716,012,132,898,362,607,733,439,339,130,172,400,162,594,110,150,141,681,425,
947,225,865,946,949,891,326,832,698,850,678,023,503,266,200,378,126,992,199,
423,843,785,552,785,108,393,522,205,341,326,845,829,358,529,729,832,640,041,
519,731,209,085,486,019,153,283,473,176,007,222,742,154,288,186,829,611,633,
395,665,509,401,547,774,565,120,903,239,755,126,529,227,107,316,319,897,046,
589,109,488,406,059,583,566,275,386,195,777,789,107,364,786,493,807,052,961,
153,295,952,677,027,535,419,875,085,827,788,099,849,731,041,596,356,488,166,
337,647,747,778,150,167,873,098,742,530,206,372,603,144,439,627,427,335,858,
941,040,807,383,682,913,786,022,950,589,158,802,457,550,495,895,328,471,506,
726,737,058,234,579,986,279,238,997,730,540,301,287,481,343,260,423,620,491,
180,913,910,755,654,191,392,065,459,628,176,235,415,737,110,226,359,855,207,
819,367,838,912,956,315,016,729,061,138,069,509,704,212,443,711,915,278,508,
944,236,830,535,576,066,431,257,394,685,718,232,072,890,448,819,635,629,540,
471,369,119,708,079,688,517,490,892,343,250,253,397,657,858,310,640,779,512,
459,280,433,016,510,136,691,279,553,555,340,578,287,664,044,067,257,734,405,
513,923,338,671,692,446,262,888,806,574,978,628,403,861,691,678,924,672,920,
749,011,084,328,973,847,243,663,482,105,439,637,072,232,305,012,474,476,733,
844,274,673,042,345,034,573,140,800,157,770,827,673,295,964,661,797,397,184,
936,960,292,114,069,455,287,073,210,306,015,017,065,662,278,186,787,421,899,
800,420,621,736,651,588,908,754,325,565,561,445,658,671,522,020,811,773,043,
101,748,770,621,312,882,933,919,025,660,053,973,155,236,395,053,011,330,391,
643,006,036,030,603,083,538,477,308,921,516,282,511,267,868,931,493,363,719,
952,176,724,486,673,375,377,865,869,174,048,135,130,695,320,024,371,022,208,
836,802,106,106,159,575,551,927,138,602,203,812,362,652,991,774,825,555,139,
504,633,032,156,322,071,086,835,100,795,291,354,797,002,073,947,281,448,263,
797,259,731,197,697,112,507,707,465,398,375,198,304,832,021,968,114,507,957,
502,670,182,822,142,767,655,648,014,995,585,632,557,072,662,864,815,337,716,
999,145,502,534,103,333,779,077,030,010,369,809,500,847,737,078,359,719,416,
119,319,549,624,167,003,277,501,784,351,363,528,062,801,623,307,430,239,163,
075,246,870,079,873,512,475,052,065,952,957,034,586,073,612,769,037,140,716,
139,392,076,791,681,847,921,164,600,698,725,843,550,728,245,284,693,460,605,
523,390,653,722,388,437,520,502,583,442,696,925,017,649,615,481,903,230,475,
445,188,219,670,937,651,976,028,869,549,447,805,507,083,509,866,305,639,116,
685,937,307,255,871,982,369,607,260,016,742,351,442,312,047,894,900,726,322,
551,652,139,055,280,065,132,546,042,869,618,090,769,287,675,852,786,347,375,
209,964,701,519,874,023,211,943,721,299,621,817,529,807,114,808,725,538,823,
590,958,856,790,524,354,746,162,730,438,217,509,620,515,177,353,704,873,275,
189,126,304,556,858,819,199,647,910,868,986,721,729,433,688,293,157,140,207,
325,015,061,946,464,203,010,124,902,601,612,272,441,804,378,237,692,149,226,
912,569,784,874,331,415,733,703,753,682,658,934,874,997,071,198,379,584,028,
265,515,465,337,794,140,530,509,664,112,436,575,518,187,048,748,852,864,270,
347,068,289,314,172,941,462,007,335,960,466,757,041,344,206,264,084,485,099,
544,392,150,080,241,013,440,400,070,043,778,075,320,958,893,088,438,097,552,
438,239,663,275,014,402,540,888,274,875,860,643,838,598,924,442,978,199,841,
616,951,255,475,074,287,923,325,829,912,208,140,136,527,469,185,121,653,786,
384,655,797,081,307,338,282,078,246,735,635,108,361,680,675,341,946,346,529,
072,332,818,035,539,682,416,275,849,522,101,595,937,883,437,031,902,955,072,
346,134,025,797,134,933,785,832,304,192,780,335,803,801,026,462,229,325,552,
309,950,292,102,756,314,522,037,185,955,296,342,018,647,346,947,029,446,114,
719,150,981,907,025,748,741,317,968,830,035,824,821,161,222,901,529,414,658,
079,022,430,600,973,918,138,045,271,983,120,350,929,457,181,469,216,531,037,
197,670,218,988,029,094,740,606,671,633,326,990,964,134,141,600,310,868,639,
592,650,768,301,362,992,449,242,305,056,803,696,702,486,988,479,707,661,760,
341,892,946,087,140,528,731,581,073,644,589,908,054,230,460,725,269,452,927,
064,292,494,882,696,692,401,484,422,113,297,908,154,321,969,944,501,401,600,
632,616,668,407,247,456,955,860,453,549,704,405,760,768,218,847,040,317,682,
604,426,213,487,176,448,202,833,591,034,619,895,062,587,650,671,400,597,559,
448,760,000,053,338,193,652,225,644,259,393,032,151,501,600,448,360,227,424,
563,635,603,161,954,663,059,555,627,887,457,466,405,841,732,010,600,309,603,
397,564,897,911,362,952,342,514,144,636,930,315,950,566,682,603,386,734,386,
041,798,189,850,476,286,888,350,746,887,545,633,601,858,405,850,298,496,193,
213,367,549,163,785,993,735,128,208,113,655,524,354,891,194,636,278,716,648,
891,421,216,102,543,431,585,004,906,361,624,213,171,600,371,610,686,455,566,
583,510,058,073,190,886,265,373,854,811,641,079,427,897,574,140,711,550,097,
589,857,660,481,498,793,017,227,389,225,882,875,266,837,642,627,293,219,640,
822,139,687,267,917,938,619,395,895,068,522,293,966,932,362,264,950,866,805,
592,499,961,064,585,040,267,648,854,028,304,467,198,275,932,644,203,171,672,
271,662,102,426,991,716,966,134,864,942,357,854,830,513,328,114,726,378,522,
442,281,322,516,608,696,410,273,373,077,045,114,547,900,105,879,643,428,696,
090,589,620,005,238,156,195,591,679,008,114,532,308,295,828,848,479,139,101,
488,681,899,704,670,222,095,349,837,326,946,797,726,942,902,242,090,636,533,
133,251,842,509,755,090,700,008,129,452,560,083,029,051,858,633,475,346,226,
104,112,862,194,904,671,732,443,065,103,159,607,890,851,917,072,665,340,562,
678,472,460,247,607,316,729,503,876,891,501,440,500,619,404,681,357,096,051,
744,363,151,084,994,702,995,507,690,633,533,948,171,332,242,773,335,778,702,
131,963,635,225,242,320,739,732,354,232,147,766,305,973,011,583,981,565,604,
140,116,091,370,554,032,669,319,811,441,317,896,504,226,757,201,048,939,664,
347,112,117,862,833,263,286,048,080,082,136,461,895,468,792,161,251,608,361,
128,310,543,616,350,154,662,311,745,980,633,222,038,696,169,534,563,275,353,
287,171,523,162,572,227,094,403,873,478,272,392,625,755,694,419,466,715,033,
694,120,580,122,283,146,820,795,988,548,928,842,573,461,084,572,216,405,656,
954,958,660,060,064,808,216,791,874,155,062,744,825,578,638,370,124,491,308,
682,241,984,242,439,497,592,152,103,851,379,599,264,445,870,125,486,401,244,
655,377,369,829,926,598,867,188,945,585,607,399,183,123,833,191,195,314,762,
136,132,121,679,052,635,047,811,595,770,137,156,732,744,892,062,593,436,794,
645,747,773,214,179,103,601,081,293,208,732,433,347,009,916,953,169,607,074,
975,793,410,892,414,195,582,779,343,201,299,973,496,182,696,004,660,266,508,
727,063,279,050,450,688,722,339,339,935,883,914,707,765,598,744,192,376,202,
935,479,726,859,261,381,554,822,253,961,956,225,463,224,564,896,426,194,769,
458,210,426,347,744,768,633,741,096,730,111,737,811,654,290,339,475,705,292,
646,609,375,517,345,375,417,338,513,978,287,751,443,939,653,405,104,481,091,
373,468,784,659,030,646,736,234,333,363,538,931,995,980,743,146,588,328,614,
242,808,873,223,031,144,061,145,760,232,231,286,329,482,523,632,631,132,534,
388,225,976,594,407,411,635,561,535,901,806,996,345,954,622,204,116,109,160,
813,767,328,078,968,491,283,865,639,107,057,310,817,147,134,403,787,450,877,
123,495,886,911,914,754,319,444,321,604,580,230,434,202,542,936,989,677,447,
242,846,735,285,818,629,126,864,460,440,918,125,121,144,711,205,782,208,357,
814,288,455,937,266,276,645,119,303,941,931,645,011,311,316,062,032,078,021,
921,037,346,199,178,039,811,457,852,879,360,103,026,689,399,836,274,252,928,
793,491,770,927,480,104,806,210,414,122,107,713,457,217,641,286,456,174,751,
664,767,995,336,774,566,884,133,566,749,176,292,622,519,049,425,507,714,747,
461,383,367,123,832,996,416,073,097,695,873,592,528,100,529,092,149,805,775,
974,806,006,609,096,519,437,684,635,573,541,845,361,365,282,396,975,721,082,
404,777,478,812,635,454,829,599,133,763,615,007,488,377,064,614,712,793,744,
246,086,131,144,860,726,368,597,531,818,762,911,490,243,650,583,644,583,069,
604,652,812,888,589,807,927,207,978,460,444,539,640,849,812,772,030,721,104,
095,606,181,199,058,398,334,460,536,346,386,831,933,512,666,854,237,246,275,
266,864,229,064,296,138,253,598,020,407,047,307,964,927,032,180,033,080,982,
813,624,644,924,350,603,237,192,373,755,622,674,210,241,299,685,942,991,440,
906,216,443,861,839,130,215,518,313,592,268,570,341,377,512,931,417,211,070,
506,361,547,515,748,217,438,273,476,904,805,530,547,435,513,281,805,147,226,
989,209,647,408,453,995,158,177,352,912,835,916,139,466,714,278,708,810,889,
726,302,259,676,699,204,993,420,275,940,328,036,286,182,110,382,202,971,924,
111,070,161,848,788,697,951,519,733,816,132,558,630,874,872,050,360,595,028,
617,790,948,771,498,668,941,815,857,383,245,037,672,821,965,307,901,482,752,
312,926,863,397,342,185,090,238,396,702,296,546,233,764,454,588,003,643,964,
253,121,372,385,255,479,058,982,657,808,398,977,302,337,984,831,777,887,114,
016,024,301,271,238,636,475,298,748,217,978,416,832,988,758,668,033,989,989,
272,222,676,367,969,184,673,214,832,722,222,347,600,175,242,372,719,435,374,
032,310,140,824,210,255,216,073,557,396,905,065,820,138,757,467,371,694,122,
817,534,192,097,925,777,095,295,705,405,539,139,852,108,113,946,966,398,471,
761,090,533,864,332,368,388,239,379,135,684,775,538,279,879,733,384,293,351,
272,072,632,775,903,085,429,062,715,670,109,699,476,013,326,222,087,912,940,
945,105,398,531,716,050,253,510,022,061,289,649,866,459,400,628,361,896,695,
605,284,674,324,114,857,133,867,099,391,551,810,513,729,356,875,050,864,215,
186,665,437,918,560,946,492,264,855,094,581,345,651,789,780,092,955,753,640,
556,666,550,710,745,083,300,311,848,787,073,647,631,221,221,455,954,178,780,
370,500,500,435,726,748,613,428,672,950,412,033,513,747,669,996,916,863,798,
831,974,316,969,447,739,328,839,131,420,684,340,367,075,099,525,673,922,287,
896,080,947,066,701,096,989,896,538,664,096,517,634,096,691,955,757,515,771,
534,750,482,930,329,602,085,623,270,143,984,871,493,021,320,328,131,935,281,
526,831,302,055,482,757,031,941,694,291,250,851,419,248,228,692,133,790,722,
875,313,865,817,819,295,709,035,092,672,163,140,032,150,401,052,205,678,418,
035,150,495,802,251,240,652,156,294,026,429,229,237,168,465,722,136,553,199,
045,703,151,599,497,537,816,519,857,426,015,782,668,623,471,355,386,681,973,
295,122,328,350,781,756,377,346,301,380,291,171,643,277,803,145,098,784,372,
457,557,512,484,829,759,650,869,023,669,923,682,360,194,152,355,616,222,483,
130,292,323,229,174,720,397,815,774,841,275,644,387,148,250,586,147,280,796,
958,788,359,769,159,710,924,300,657,461,054,440,788,449,028,364,611,363,508,
330,758,512,712,306,854,113,711,851,809,204,242,579,001,949,566,065,559,687,
372,819,424,911,867,564,686,592,244,139,899,775,317,181,747,948,310,165,705,
810,073,968,967,629,106,313,414,407,301,441,873,491,711,255,388,361,558,855,
136,297,296,373,788,745,275,032,082,885,243,293,670,082,967,530,560,947,003,
219,339,988,265,731,415,197,377,093,163,618,081,578,030,011,596,752,282,218,
701,924,418,591,295,511,805,787,351,415,513,964,506,997,527,778,517,302,193,
019,202,512,538,664,470,701,515,354,663,903,387,367,625,892,125,648,540,557,
524,924,351,548,864,150,865,475,611,308,312,509,994,546,743,323,686,473,436,
182,425,672,122,359,039,937,240,724,392,678,517,969,128,265,266,188,091,134,
168,616,138,579,765,015,211,010,677,248,494,618,897,492,932,413,712,430,271,
513,693,553,643,502,295,461,881,692,836,865,032,314,270,889,449,657,924,340,
879,525,088,671,133,954,478,415,119,969,724,633,862,755,157,355,679,804,800,
851,407,937,079,518,043,350,465,888,093,976,564,527,164,957,643,658,630,607,
743,581,790,501,932,110,191,831,820,611,722,420,135,719,732,056,367,237,723,
693,518,370,522,134,264,432,475,134,724,066,599,573,776,752,105,969,131,692,
274,921,772,365,335,869,357,766,925,311,141,943,703,688,178,291,815,401,122,
746,859,503,538,720,951,258,722,538,414,058,726,697,399,026,745,872,733,879,
252,891,238,265,743,667,202,546,098,260,702,768,406,822,592,957,364,942,565,
327,034,135,914,535,505,244,817,929,968,134,897,118,893,414,825,495,268,914,
476,466,802,048,260,482,499,577,865,946,262,815,083,905,763,802,017,196,576,
374,181,424,494,583,519,797,694,384,084,558,015,509,868,801,238,351,238,422,
076,363,990,419,953,671,316,455,447,816,553,168,696,048,814,752,159,519,274,
927,478,420,664,165,150,246,961,984,928,896,159,725,355,161,645,907,702,286,
847,374,290,428,468,318,330,007,313,111,635,737,940,015,126,481,195,186,958,
031,636,720,042,701,733,182,536,146,527,123,750,443,145,438,563,095,521,017,
830,016,906,831,906,805,320,774,458,735,173,193,331,329,265,846,138,268,961,
288,147,311,206,015,608,485,262,451,800,264,202,608,134,389,474,891,874,435,
687,249,416,698,009,192,626,301,597,075,868,459,925,620,651,582,852,395,698,
154,112,521,154,461,578,604,151,618,686,975,708,135,242,429,087,641,344,867,
633,217,814,526,778,729,324,642,009,503,959,993,308,189,272,667,764,542,353,
738,642,696,981,650,482,031,335,126,336,717,039,618,021,888,915,321,128,702,
813,684,850,161,200,174,631,933,195,048,372,027,268,299,711,724,373,732,018,
343,797,243,985,371,468,429,136,984,165,392,738,064,663,789,462,790,461,843,
809,235,115,103,350,944,965,116,334,359,759,430,930,700,347,558,085,264,286,
402,350,866,128,077,101,542,403,539,109,495,359,271,563,888,310,923,990,165,
830,212,154,377,399,101,894,536,295,329,744,268,878,871,137,906,447,337,445,
792,194,570,826,883,608,913,318,882,587,554,942,194,382,762,004,555,309,071,
677,252,081,434,278,963,690,723,955,654,007,501,770,093,353,524,482,953,820,
541,596,359,565,156,952,684,037,326,592,587,344,086,943,089,469,065,487,597,
860,525,455,982,125,880,374,630,708,845,921,137,902,336,518,829,289,021,838,
947,545,144,733,010,503,775,992,846,308,424,391,038,570,463,387,855,780,848,
614,741,185,156,516,822,646,513,721,567,695,101,438,957,041,256,115,066,947,
712,008,687,537,828,645,121,467,897,945,163,724,003,481,409,750,068,106,027,
299,161,413,284,711,798,805,246,813,384,383,289,195,268,508,937,157,827,799,
927,741,546,779,544,648,035,389,611,142,450,599,134,900,496,323,575,424,403,
101,067,759,500,924,648,183,147,307,904,664,664,457,539,386,073,667,660,850,
861,730,857,092,388,838,280,262,292,421,906,671,979,160,274,582,650,051,275,
406,813,473,118,489,261,079,219,030,831,552,308,443,193,878,215,356,969,201,
520,410,884,568,242,224,604,258,258,871,903,161,955,997,748,054,352,883,883,
449,966,165,088,653,457,439,967,593,419,623,516,628,956,758,306,075,451,115,
752,079,272,330,886,930,362,281,066,662,863,938,062,472,729,740,882,731,061,
282,123,634,248,017,384,541,627,108,562,422,366,039,451,256,055,276,277,718,
278,528,818,802,715,867,939,811,408,928,022,524,426,183,335,953,384,980,225,
158,839,915,435,274,810,778,930,597,229,418,280,410,813,752,130,518,344,231,
149,965,330,135,900,544,399,262,859,349,352,636,896,510,029,302,204,056,442,
609,974,353,854,494,462,757,278,844,858,402,811,960,485,759,968,730,219,107,
688,197,367,570,336,686,620,945,554,118,969,769,087,507,729,753,386,300,806,
206,459,374,229,842,501,155,895,524,536,046,797,124,718,149,097,660,733,137,
929,544,070,844,520,294,152,951,460,148,891,512,123,695,945,220,035,378,517,
849,840,456,019,888,668,983,018,468,286,843,573,274,951,163,787,531,408,945,
909,631,633,645,388,113,901,672,005,193,405,121,617,796,448,050,628,032,501,
890,416,330,164,822,845,731,060,825,222,922,607,628,922,179,205,644,252,623,
597,427,919,442,637,336,208,167,254,648,784,529,461,740,782,623,412,046,622,
817,539,482,409,328,648,417,881,885,804,880,818,193,507,799,849,847,340,077,
030,568,328,656,252,820,716,182,421,334,137,351,767,167,649,813,499,162,046,
078,028,498,279,470,472,479,760,878,030,490,406,292,642,545,197,232,703,566,
291,720,507,184,872,908,552,879,633,431,814,331,535,160,339,573,114,563,147,
942,137,028,009,767,046,348,628,394,615,560,030,340,648,345,958,956,232,967,
288,041,135,893,140,370,411,716,132,566,200,326,917,866,645,178,721,568,244,
813,164,144,810,701,849,779,483,418,611,608,850,710,025,095,125,659,668,027,
982,493,578,355,294,274,673,915,389,278,810,375,684,734,320,453,135,665,620,
315,107,111,608,983,426,473,072,272,734,338,324,200,842,127,526,667,588,695,
944,065,167,854,820,724,749,000,309,090,850,959,882,072,111,378,992,409,632,
830,106,354,899,391,515,213,091,206,505,925,253,338,394,657,982,435,160,805,
833,396,063,819,900,990,246,012,724,755,442,398,099,979,163,952,855,545,132,
647,274,103,234,279,501,725,131,692,114,770,565,374,254,880,143,447,423,262,
175,759,659,145,791,553,136,333,172,044,370,443,615,928,533,704,580,724,541,
046,647,029,656,293,645,632,505,087,575,810,060,651,943,708,864,744,968,798,
844,546,330,184,454,214,711,565,282,898,360,403,277,460,073,317,824,875,734,
716,657,288,977,930,773,200,138,191,570,976,567,907,716,278,338,305,794,459,
433,875,620,297,754,930,624,727,992,178,124,773,384,422,469,794,076,993,567,
346,647,943,982,202,404,847,176,625,192,409,145,327,492,722,236,646,149,134,
479,252,953,009,988,966,079,462,540,573,756,107,857,272,814,924,283,310,034,
514,643,616,607,741,805,266,312,879,080,132,177,435,772,831,705,657,302,342,
606,675,083,310,628,934,232,228,639,178,568,339,018,498,470,175,841,593,733,
417,104,654,250,141,032,305,913,759,965,446,052,270,495,776,501,925,730,542,
740,426,613,876,953,302,531,672,342,990,881,672,614,321,867,069,086,082,721,
986,127,665,493,367,300,871,379,831,700,405,737,475,287,835,839,760,707,403,
092,412,425,377,238,346,261,603,769,403,009,858,701,969,657,060,592,513,885,
933,956,697,587,853,299,458,728,833,445,977,053,250,547,486,396,403,428,626,
131,413,161,342,294,039,876,493,019,727,084,536,117,986,102,970,226,497,326,
388,268,566,669,070,929,164,567,004,249,696,683,626,918,556,612,531,065,641,
099,251,497,129,428,502,235,081,259,181,037,323,430,229,995,232,784,943,030,
804,745,907,598,914,220,915,680,156,402,479,996,268,793,970,397,032,624,215,
631,872,737,753,082,474,607,183,701,191,290,239,798,670,958,219,935,884,613,
197,575,048,791,996,457,797,178,433,598,437,490,412,737,857,092,805,448,006,
513,162,685,211,711,013,200,718,213,428,645,222,911,907,466,635,005,827,186,
389,720,100,035,657,961,948,716,450,767,318,658,544,870,402,986,334,340,817,
834,411,525,575,695,483,061,860,199,674,161,310,043,849,731,071,557,306,265,
814,854,205,868,005,116,910,906,179,942,703,157,675,394,600,488,129,227,175,
437,160,078,138,222,462,740,491,176,438,673,119,672,328,369,003,691,209,480,
738,307,824,193,231,929,687,831,809,962,507,499,287,366,963,686,602,769,273,
361,701,144,848,305,805,440,312,966,299,131,319,695,884,687,801,835,577,288,
630,056,914,159,782,348,812,297,919,227,865,388,259,452,179,644,500,355,937,
104,311,390,909,885,607,488,721,855,058,858,726,403,297,413,693,299,546,859,
739,507,695,224,552,313,619,809,986,467,560,359,357,881,436,706,311,728,998,
166,166,982,917,115,754,672,474,185,156,559,356,189,041,821,903,802,373,485,
592,438,256,024,118,721,973,536,513,919,261,995,306,138,716,804,915,868,183,
602,401,023,392,946,455,095,965,082,112,984,733,146,481,591,387,928,340,628,
227,309,313,940,767,483,290,860,005,998,118,362,663,779,783,201,455,639,859,
697,371,568,211,003,821,372,022,513,453,849,817,286,046,192,539,151,780,175,
073,123,106,656,170,064,600,910,922,063,807,966,727,940,377,701,002,608,104,
269,543,090,322,825,484,665,609,065,778,301,505,230,461,936,469,022,958,889,
058,065,408,246,235,208,525,267,045,866,635,706,463,115,420,092,455,630,924,
646,471,180,691,100,151,067,365,756,873,813,178,535,402,828,802,465,876,563,
271,452,779,919,201,095,412,360,721,076,474,358,175,243,924,336,042,020,710,
817,151,421,752,505,843,711,717,286,280,858,949,179,283,859,696,208,266,251,
867,734,062,800,401,045,765,284,665,837,781,922,180,266,695,130,105,511,857,
884,320,176,556,946,376,644,960,167,021,819,170,503,633,413,886,085,016,693,
675,079,586,333,065,825,395,728,110,190,554,010,090,499,190,325,025,287,187,
965,586,803,724,735,494,785,226,875,595,786,837,492,256,467,824,003,559,120,
229,416,691,462,198,493,646,591,699,812,446,618,700,566,452,689,726,368,027,
421,796,242,158,846,678,734,493,623,245,503,711,030,428,611,809,303,990,100,
321,726,725,710,028,195,549,545,866,805,775,407,473,285,089,731,593,761,180,
998,848,432,754,249,720,404,247,593,010,550,328,912,286,096,038,351,571,100,
299,927,753,376,883,939,890,930,069,530,730,482,572,087,996,608,732,623,559,
822,688,682,076,003,427,305,409,600,236,923,476,102,626,074,461,265,096,547,
904,800,784,205,794,177,990,410,059,729,156,644,085,680,252,283,965,298,688,
304,006,902,574,349,650,134,771,158,511,975,260,483,591,881,624,169,250,396,
085,937,031,718,613,324,918,390,515,563,714,440,775,713,127,551,755,418,613,
273,297,118,467,254,608,582,782,272,135,938,479,955,279,068,343,612,396,955,
520,732,601,260,443,203,410,992,857,348,402,265,251,829,182,850,874,119,971,
142,924,224,599,540,395,818,186,301,699,721,629,785,508,001,305,974,148,480,
080,930,040,669,587,030,750,997,669,038,914,282,545,320,980,187,748,564,882,
970,161,862,387,857,836,182,655,626,016,494,907,738,177,753,885,023,943,972,
503,848,157,376,543,858,375,171,215,365,005,545,193,763,239,432,654,548,963,
042,796,638,449,550,173,054,423,789,885,144,802,049,728,714,174,726,929,594,
551,909,995,933,183,494,558,491,797,336,034,391,338,938,920,441,996,371,312,
496,650,145,187,531,595,425,104,330,984,361,795,247,700,732,521,369,240,042,
107,900,806,635,666,270,129,620,697,595,298,428,297,556,369,561,133,493,696,
805,356,548,414,669,539,100,513,975,145,336,458,623,362,648,755,494,660,959,
256,404,404,422,136,280,872,722,349,274,050,813,579,744,790,886,732,664,219,
546,970,113,856,699,304,228,428,325,456,617,228,028,301,725,553,473,109,898,
571,774,160,641,546,171,700,904,713,544,096,066,136,706,855,092,797,204,248,
312,227,440,036,474,714,879,209,823,307,517,597,465,983,281,175,921,190,710,
246,962,020,445,739,811,399,721,876,117,443,820,107,055,925,443,209,784,248,
253,100,930,843,845,281,431,819,431,285,493,862,732,499,640,620,261,814,523,
073,726,256,166,745,789,918,055,094,741,830,642,268,577,325,484,190,646,411,
401,364,641,596,327,506,503,727,280,993,439,603,422,061,618,032,068,386,525,
837,037,545,198,201,973,769,504,097,783,183,689,707,962,883,347,606,339,906,
128,226,443,686,626,707,771,224,352,110,675,778,659,050,739,992,123,645,042,
608,667,489,884,923,776,733,840,739,334,074,357,920,175,762,503,356,319,475,
519,027,306,861,789,072,838,452,888,359,126,203,066,156,243,721,159,069,383,
307,721,231,350,035,282,452,922,942,703,637,813,368,583,899,889,816,002,114,
223,187,401,365,851,393,232,396,451,848,993,436,163,155,324,150,341,448,791,
036,467,842,014,740,729,095,290,435,475,053,074,495,879,448,953,363,565,626,
626,854,568,340,144,034,447,729,940,718,707,530,887,543,555,001,973,999,719,
359,863,221,880,477,033,087,231,212,916,031,785,267,598,985,416,241,412,109,
672,372,248,629,152,727,549,259,395,829,732,867,679,009,839,574,411,101,891,
959,973,902,534,903,138,400,681,146,994,638,353,471,381,164,002,455,200,273,
659,297,775,681,753,927,660,387,547,265,110,070,647,032,761,913,627,104,129,
531,570,287,477,389,006,609,959,397,738,607,818,191,644,934,733,398,707,842,
155,581,875,173,423,778,183,179,684,827,450,330,473,747,340,001,895,214,714,
631,520,899,627,137,461,167,620,429,306,178,715,105,034,153,543,086,723,250,
451,327,695,877,923,844,388,990,210,243,908,794,442,124,512,314,806,513,514,
813,310,656,677,575,162,043,089,159,724,197,263,309,372,118,787,083,962,954,
032,496,043,305,067,479,209,009,769,816,611,125,003,208,851,191,151,506,675,
342,007,502,621,966,936,354,390,232,158,884,451,977,883,677,272,307,557,987,
771,021,368,547,271,462,988,752,093,784,573,144,587,103,185,109,902,230,044,
103,609,778,169,023,265,247,282,332,410,549,922,941,493,166,723,767,235,550,
198,773,411,582,461,290,472,394,617,046,186,758,798,831,882,963,333,345,781,
484,975,374,764,977,301,738,500,695,738,764,795,781,986,735,535,458,852,456,
575,797,570,726,944,374,247,073,342,838,547,737,245,695,511,814,599,945,639,
376,180,077,497,651,307,341,144,507,950,093,508,833,375,451,416,242,263,588,
606,443,017,355,289,043,622,997,860,364,341,929,276,757,212,374,379,247,132,
003,745,847,261,990,956,883,126,402,875,610,647,498,677,351,941,254,145,757,
935,067,521,417,653,871,345,472,371,287,936,407,578,104,499,495,663,083,977,
533,420,376,335,640,757,744,602,647,121,473,287,827,319,819,233,760,284,027,
380,142,235,186,999,585,098,663,686,644,817,437,814,409,599,503,772,906,021,
747,971,072,958,840,806,341,466,744,692,043,087,395,157,871,041,570,380,412,
807,523,562,180,199,977,865,728,518,388,787,008,342,589,726,834,420,134,502,
335,617,855,789,355,605,170,386,558,307,887,187,978,593,144,188,365,271,977,
791,513,809,719,199,944,446,785,517,979,495,478,593,007,997,525,279,797,509,
642,183,093,559,716,255,114,165,348,182,460,840,395,828,669,115,503,493,004,
099,563,574,040,771,661,338,342,661,334,747,659,047,955,497,391,162,791,805,
134,515,966,337,665,674,174,199,872,058,221,713,620,965,832,788,069,806,813,
184,695,747,795,718,175,488,538,622,467,493,910,267,880,826,319,493,172,682,
179,821,174,170,778,022,747,641,389,009,957,344,078,870,082,659,886,125,080,
929,940,696,515,712,804,514,976,732,581,105,943,353,307,231,955,659,743,362,
188,185,593,851,121,312,940,361,458,088,418,537,509,271,297,346,033,530,692,
402,596,929,016,393,889,409,097,331,361,646,720,710,147,156,475,761,917,405,
349,698,054,636,139,853,647,672,963,788,178,537,559,059,060,265,665,058,058,
431,479,730,705,803,201,915,807,524,410,583,018,449,932,827,196,281,578,352,
421,944,645,821,868,187,377,309,212,900,193,106,379,819,228,521,949,788,117,
555,840,826,991,780,003,604,317,474,669,178,441,309,561,568,185,932,129,019,
094,988,788,108,331,894,724,183,837,242,354,817,038,506,329,972,381,602,818,
118,466,802,078,586,829,442,281,660,530,034,943,093,197,942,925,799,997,761,
073,061,250,479,656,587,103,188,630,905,297,730,948,487,445,676,635,438,334,
574,227,116,421,614,515,304,961,269,517,990,625,134,124,001,993,112,538,825,
557,473,055,252,234,685,991,149,960,007,494,311,698,582,235,437,033,266,805,
444,779,667,177,769,343,275,937,241,920,924,744,628,580,364,518,802,511,935,
681,757,800,279,647,694,176,162,437,466,377,317,787,276,938,184,579,100,901,
465,060,606,103,651,681,559,950,858,758,945,809,318,372,646,087,241,426,978,
725,124,735,468,792,785,865,593,247,034,519,329,362,517,259,005,702,385,893,
239,052,379,229,158,555,855,535,292,653,326,274,443,543,314,945,134,623,332,
537,637,319,407,769,896,003,521,382,724,907,230,241,247,460,462,252,081,501,
723,404,554,506,196,539,934,553,763,838,168,535,559,233,353,484,784,340,442,
671,829,779,865,409,078,430,618,623,771,440,293,742,632,714,368,574,727,246,
726,141,859,137,946,426,213,785,223,904,932,336,440,556,932,286,894,469,323,
706,159,156,051,595,426,066,606,231,307,407,113,945,232,253,818,350,151,033,
303,250,976,292,346,180,837,445,118,124,344,335,501,601,023,521,514,611,950,
926,047,008,556,577,260,359,361,325,369,498,434,905,395,951,285,828,666,172,
076,873,266,834,205,503,890,441,331,110,741,782,286,605,284,244,597,532,022,
530,429,075,395,596,065,798,845,270,761,923,152,143,810,172,885,398,283,251,
901,434,409,822,334,322,329,888,812,099,474,864,883,421,455,451,971,243,778,
622,797,738,099,628,305,238,068,477,648,750,405,707,812,606,043,617,631,205,
198,498,348,752,596,492,713,804,181,573,314,361,707,102,790,462,995,928,294,
010,285,790,970,373,169,638,751,719,314,742,864,386,933,248,237,452,794,068,
593,755,323,815,005,146,653,463,301,480,319,007,002,280,501,104,652,507,616,
430,134,218,906,734,662,436,810,194,466,774,876,060,803,995,082,644,177,649,
230,204,909,482,243,139,684,093,522,483,839,919,049,332,852,808,461,610,362,
414,558,967,131,757,523,686,602,124,750,992,612,404,227,098,870,437,510,571,
309,780,198,100,222,323,295,549,845,600,735,471,020,852,492,093,370,699,412,
100,945,633,854,557,833,729,698,836,217,387,339,227,345,395,480,908,048,593,
697,161,684,631,205,579,047,063,686,374,029,766,563,913,079,949,945,038,367,
087,280,522,826,509,286,557,721,641,763,715,751,353,363,215,488,687,463,047,
324,664,058,436,768,358,974,638,926,593,154,351,767,118,276,433,394,997,908,
825,186,729,120,848,653,950,273,640,505,713,640,488,259,822,202,642,096,842,
235,656,921,229,165,896,261,518,453,603,127,204,271,331,675,954,577,488,746,
055,718,340,010,163,142,358,046,377,664,854,583,770,629,185,450,886,820,777,
511,280,750,894,065,531,442,419,242,448,145,963,228,210,377,632,664,508,183,
109,259,443,389,464,010,369,713,618,186,124,982,141,885,091,934,827,444,966,
885,652,692,793,356,892,842,948,389,817,395,744,376,382,372,203,776,273,107,
968,476,532,615,507,388,051,553,018,940,252,208,226,581,863,162,214,423,329,
689,058,153,241,474,870,780,969,290,554,949,347,166,439,592,797,702,228,650,
248,971,409,676,850,313,080,947,068,097,050,906,841,058,654,442,448,826,493,
538,293,538,528,660,590,627,770,781,136,894,320,890,435,665,415,350,175,170,
577,739,929,347,797,004,552,289,945,683,946,907,403,207,857,282,132,223,991,
285,039,371,857,142,049,264,773,881,217,835,812,698,937,063,877,576,963,071,
945,370,418,157,267,229,587,710,519,753,869,942,338,360,798,312,452,747,513,
179,096,943,279,908,047,899,407,790,291,847,509,476,167,012,189,006,638,446,
457,236,687,670,445,395,506,693,190,518,023,140,119,647,480,021,107,563,344,
198,627,232,604,688,898,853,454,372,405,484,299,563,492,254,316,017,575,452,
397,959,882,590,662,877,896,812,660,621,216,077,804,523,326,919,203,999,543,
822,272,459,593,146,519,562,340,995,499,403,890,083,235,696,556,324,197,330,
346,197,447,339,192,748,349,399,957,687,224,058,586,500,067,837,551,354,042,
053,829,068,397,053,892,513,457,571,323,791,837,883,543,195,733,718,325,446,
980,593,936,214,451,238,750,866,488,473,995,353,799,757,646,438,418,233,560,
509,270,503,819,536,533,918,273,250,979,327,906,788,984,603,650,975,030,441,
103,856,047,632,131,494,518,664,085,588,673,433,481,034,281,768,759,406,242,
893,977,441,046,818,479,034,121,779,371,176,507,746,352,377,927,004,720,840,
898,218,747,103,133,578,831,416,396,486,278,917,583,827,323,645,125,089,490,
299,106,406,555,212,625,431,460,675,823,486,552,844,939,870,470,466,891,923,
488,825,828,281,583,584,584,233,864,365,462,430,037,491,228,063,977,319,544,
410,361,072,354,946,116,795,292,749,830,829,967,757,261,188,302,348,826,703,
814,971,420,398,606,996,461,997,881,733,856,996,005,683,853,950,691,317,655,
253,180,524,970,010,932,609,033,742,532,770,122,141,074,249,875,557,117,513,
954,359,639,722,201,217,148,443,983,919,291,048,225,030,179,173,638,583,852,
569,943,691,564,784,926,804,404,951,230,603,854,946,249,324,397,268,783,213,
073,073,866,282,921,997,102,478,118,873,976,557,022,173,038,673,149,326,414,
212,441,634,776,086,603,802,133,882,690,580,092,619,998,294,374,696,157,028,
314,221,564,783,867,307,024,965,948,756,442,260,234,345,298,641,491,975,397,
871,969,636,701,841,784,791,295,588,594,290,583,025,351,363,998,286,176,355,
856,557,571,287,536,168,498,702,356,231,169,046,960,204,394,314,292,168,890,
030,617,870,189,241,395,976,210,615,098,385,108,592,802,690,837,295,208,153,
405,581,216,452,126,256,076,492,707,534,577,167,864,422,632,254,622,639,268,
348,434,822,797,850,815,772,218,085,406,949,220,954,105,128,555,215,009,396,
680,183,061,074,672,832,251,334,736,627,293,444,227,260,842,113,259,349,040,
205,004,413,894,530,507,092,625,052,274,838,189,195,755,547,311,386,430,785,
965,921,626,608,951,245,945,449,673,573,282,131,003,344,427,507,091,898,080,
220,305,156,332,182,550,480,968,562,388,408,003,935,694,548,843,940,121,345,
962,017,766,191,722,841,139,333,892,871,956,118,645,301,280,127,831,534,209,
802,911,377,995,377,405,088,610,018,821,004,662,378,794,785,991,735,259,573,
599,923,635,665,565,379,384,083,637,865,089,772,687,738,932,045,300,004,760,
025,431,349,711,794,540,860,994,494,840,509,113,692,726,067,383,482,805,939,
982,251,942,052,900,379,045,739,593,272,828,321,602,561,937,729,382,460,270,
799,469,951,413,754,634,055,022,934,976,960,121,795,990,163,463,751,326,005,
375,040,816,658,640,710,071,456,075,670,323,164,852,798,907,529,177,094,288,
867,119,952,943,034,786,715,307,240,935,754,822,844,771,895,400,043,781,835,
742,609,540,257,909,357,773,351,553,741,641,398,414,422,773,548,852,567,300,
276,597,051,551,177,927,711,602,232,992,704,814,672,494,747,860,281,674,228,
103,189,085,063,256,539,111,489,253,408,078,692,734,713,677,272,553,257,000,
148,219,142,514,392,200,860,686,276,422,095,324,083,850,820,475,820,126,604,
733,575,786,795,140,395,146,503,088,805,998,363,676,609,700,148,976,873,000,
070,263,463,958,189,604,166,761,504,158,185,499,440,732,271,609,807,346,228,
963,045,401,253,508,337,377,880,409,056,586,231,187,712,031,903,765,235,280,
789,134,536,085,237,841,627,030,789,388,988,420,353,952,198,496,221,238,716,
061,274,812,343,214,557,864,074,845,018,287,075,924,263,473,836,861,347,363,
397,110,496,448,867,200,602,275,909,289,686,524,834,003,693,170,302,788,922,
953,069,705,971,990,532,530,055,802,442,264,973,072,085,767,193,194,342,272,
457,518,474,189,283,445,527,085,363,716,164,221,802,809,960,229,619,816,554,
710,043,686,911,689,450,138,441,252,858,523,762,435,784,204,829,974,985,968,
299,121,163,798,808,457,238,378,763,948,318,661,116,564,796,061,738,750,800,
078,562,439,568,791,926,358,005,607,323,571,590,947,522,132,738,511,310,737,
372,092,069,389,357,424,889,526,148,205,546,579,634,423,111,418,458,187,835,
727,732,707,527,031,187,110,726,438,923,269,595,787,301,640,238,548,494,824,
944,233,784,060,533,468,159,601,615,174,537,413,108,782,394,755,786,363,315,
387,101,073,944,216,001,099,674,942,630,292,872,024,861,307,473,896,139,018,
637,971,848,044,552,289,128,975,992,011,113,012,148,220,103,513,618,822,513,
573,337,383,941,790,443,645,056,981,712,724,969,724,857,961,787,570,246,522,
371,448,946,078,077,899,692,279,535,760,586,223,511,820,612,371,176,251,676,
415,753,804,561,086,803,591,535,548,692,728,769,172,578,363,876,431,942,230,
345,933,330,774,240,741,278,199,861,609,045,814,628,960,441,077,205,496,606,
385,777,443,753,890,499,732,484,920,137,583,272,503,313,516,304,477,416,735,
853,478,330,153,052,699,735,602,396,864,651,228,069,851,721,034,076,671,858,
134,844,236,974,276,116,168,357,107,336,804,400,835,213,461,597,575,607,236,
383,608,649,545,728,028,499,410,158,993,614,970,339,895,644,294,282,242,856,
543,918,997,686,432,627,816,887,139,116,195,722,845,355,650,136,163,551,069,
469,963,552,996,841,026,434,958,222,914,051,315,497,162,949,079,805,047,988,
514,483,456,161,548,709,619,283,760,148,982,881,484,983,661,199,289,252,139,
574,182,068,947,768,566,505,707,728,357,915,624,277,959,948,829,208,666,741,
676,499,066,354,867,403,627,154,559,918,630,429,474,696,790,877,668,338,209,
772,744,447,841,343,189,705,680,877,519,492,074,586,228,100,909,422,881,979,
191,788,057,991,620,242,943,420,672,780,424,806,807,553,002,260,882,947,431,
928,186,955,870,055,281,943,396,978,349,448,499,844,085,170,650,272,879,930,
479,464,134,414,751,355,765,948,595,174,604,805,482,562,354,179,809,144,808,
190,309,681,967,275,670,002,138,510,772,017,006,077,172,432,787,096,118,580,
459,831,911,347,114,930,762,865,161,624,079,617,468,056,361,681,261,404,366,
405,658,147,278,886,346,857,877,807,292,169,079,965,190,990,287,305,197,389,
490,987,915,499,787,073,416,680,189,827,886,854,173,374,696,808,806,145,707,
129,318,050,333,544,972,384,391,076,660,383,984,287,987,196,566,807,351,999,
347,364,155,908,099,549,363,610,736,493,679,653,266,379,776,857,012,538,131,
902,667,679,074,254,546,663,320,242,772,586,125,490,139,021,874,792,439,583,
240,338,250,309,994,906,004,881,514,591,037,679,334,606,631,100,202,761,002,
873,426,108,046,644,768,941,850,894,866,639,643,889,176,275,987,506,624,863,
897,953,691,637,793,075,409,475,309,813,330,933,116,141,720,211,214,336,022,
921,545,564,326,401,966,383,816,361,268,835,736,041,599,069,314,328,048,437,
320,235,601,126,065,499,217,208,047,046,924,836,424,717,651,467,716,301,244,
276,796,843,614,446,095,029,766,842,422,063,448,198,732,590,496,491,810,894,
278,018,807,543,400,914,859,213,317,469,198,878,306,279,558,243,915,278,716,
160,880,740,833,782,298,057,895,230,940,472,293,713,068,923,169,384,854,424,
854,436,699,651,026,889,726,355,658,027,520,584,928,900,193,197,770,101,931,
869,735,275,670,941,138,870,486,487,049,725,958,946,853,741,491,627,868,966,
535,854,771,855,515,351,728,120,454,975,747,517,721,256,522,830,415,653,717,
951,074,955,582,722,814,403,224,390,419,091,605,399,387,243,903,711,105,747,
918,862,312,228,988,181,727,651,054,718,560,946,489,276,486,171,712,744,673,
618,089,021,245,056,715,661,356,002,214,626,709,776,904,989,797,287,790,592,
571,271,477,656,671,865,484,220,270,538,566,530,656,650,006,095,941,426,904,
394,561,791,288,148,846,605,445,189,889,004,540,274,412,392,837,299,962,595,
037,764,465,212,149,207,547,212,241,406,201,619,872,401,591,394,408,343,781,
085,778,925,218,156,980,155,969,755,426,433,924,387,527,773,477,032,461,619,
069,841,286,422,828,101,436,493,741,319,782,833,113,341,795,759,230,945,858,
839,594,386,139,762,355,664,774,386,688,273,380,402,237,804,057,621,394,463,
014,464,009,474,828,234,210,476,607,031,686,708,447,352,848,009,524,291,674,
445,534,160,045,503,771,560,499,505,297,271,404,820,096,175,370,449,205,125,
494,254,428,921,355,423,766,432,983,643,004,762,333,653,788,953,584,215,717,
877,987,226,403,449,872,010,511,498,427,964,559,883,102,389,866,099,427,932,
068,739,130,538,131,415,066,492,749,140,947,026,533,615,634,462,568,406,035,
791,172,557,980,234,592,572,593,176,042,825,863,107,693,561,728,055,951,625,
516,145,072,928,125,854,578,164,044,903,604,445,166,598,335,256,865,148,635,
765,015,734,980,664,104,198,334,530,715,862,035,869,143,739,416,633,478,181,
828,958,678,011,174,258,273,037,210,990,303,814,740,195,225,314,832,306,934,
689,581,507,791,990,209,434,576,410,709,319,841,436,186,934,165,398,324,313,
224,111,571,706,052,476,558,129,573,043,248,516,817,934,680,511,117,875,127,
367,177,915,396,562,629,927,544,619,014,794,520,308,134,858,182,906,013,224,
759,095,070,639,205,927,998,965,014,397,939,035,007,732,902,835,422,491,699,
232,034,972,708,109,887,743,805,797,969,206,049,835,156,746,419,069,508,575,
465,015,945,526,253,020,496,269,406,224,565,391,399,531,416,566,104,590,386,
739,173,390,472,640,720,635,750,704,297,816,043,806,055,009,292,291,224,179,
336,180,718,090,456,369,706,335,201,543,987,313,178,116,390,837,825,032,663,
867,846,902,510,737,594,068,619,492,074,237,254,344,538,622,046,118,513,202,
062,202,193,070,641,843,665,290,892,158,523,702,853,344,801,095,876,883,937,
007,428,535,952,105,480,279,400,319,395,518,256,769,957,229,463,311,418,396,
251,588,016,127,469,716,321,973,997,974,786,766,807,847,845,460,272,005,811,
686,951,944,184,877,291,928,617,658,619,364,320,062,311,348,260,685,140,187,
800,478,534,190,131,813,709,458,466,764,531,553,256,645,436,753,931,465,027,
636,171,981,275,825,954,742,315,796,541,498,557,294,293,273,723,393,410,990,
444,382,686,340,734,402,035,631,057,510,535,074,180,271,384,162,980,542,003,
835,819,753,874,518,060,918,750,157,997,965,621,931,997,317,035,501,273,385,
896,519,895,697,929,923,390,372,023,999,734,470,515,217,457,496,615,688,805,
742,063,228,515,614,026,422,752,196,332,911,341,060,952,140,289,471,885,365,
798,114,361,085,041,292,019,134,982,540,894,474,781,942,982,244,718,877,770,
871,552,680,365,532,524,151,732,361,972,811,120,576,399,899,421,152,109,300,
330,429,000,810,995,835,396,643,759,700,825,492,885,600,054,318,332,185,647,
000,472,953,904,862,404,531,245,897,877,771,007,580,245,948,950,612,913,061,
878,012,218,174,937,802,614,249,406,427,130,491,506,690,273,002,152,989,886,
533,782,922,923,039,120,755,424,435,011,758,539,971,381,448,054,480,235,661,
621,497,568,535,483,433,773,211,980,214,852,073,476,290,663,958,505,029,684,
551,782,845,301,325,728,494,319,011,153,264,356,179,701,927,424,759,299,791,
191,380,608,874,209,235,924,196,600,934,910,552,547,562,519,395,616,427,152,
174,929,346,791,984,421,132,392,307,354,679,956,502,106,080,052,545,629,370,
030,429,711,566,576,675,810,238,244,158,214,098,036,268,604,564,444,163,965,
227,222,767,387,593,323,312,683,587,100,904,535,197,063,340,253,667,067,620,
647,020,137,352,500,629,856,474,136,530,058,865,436,387,590,398,162,227,076,
405,612,528,197,880,972,079,124,654,986,537,424,875,088,858,351,537,820,208,
772,354,679,404,553,989,999,241,171,181,945,282,717,420,217,739,286,691,452,
423,326,127,667,780,934,563,939,689,299,906,385,356,440,937,470,865,668,227,
736,893,550,020,924,602,548,691,954,955,263,162,422,168,341,880,620,953,877,
872,897,841,087,294,587,896,930,743,883,958,634,656,995,037,257,568,802,534,
774,511,543,507,557,433,738,017,726,482,731,714,260,922,330,343,618,411,928,
388,488,859,442,320,639,886,172,624,380,848,598,464,896,960,111,310,259,379,
668,734,063,618,088,464,839,840,308,897,763,455,835,200,331,388,193,944,006,
428,765,440,508,016,902,614,728,364,739,653,229,916,818,617,238,168,419,824,
312,217,971,188,259,918,445,591,585,418,108,717,251,071,347,308,820,140,234,
926,263,769,660,837,139,243,276,356,054,692,834,670,540,153,777,933,130,629,
615,701,412,044,602,184,681,279,806,321,152,528,546,462,362,529,142,683,537,
532,791,229,618,489,279,424,263,714,967,580,585,844,881,977,516,860,722,692,
005,545,656,058,646,784,066,023,252,734,377,482,529,060,097,707,281,623,862,
398,549,475,888,669,463,424,162,147,132,412,683,210,897,793,008,674,928,101,
331,162,051,255,935,568,002,058,412,292,281,413,725,955,776,303,964,381,437,
812,237,522,393,209,166,490,285,978,023,925,763,654,527,016,646,323,328,486,
692,561,357,594,626,826,620,867,108,000,075,740,580,152,468,853,307,519,961,
170,310,687,016,094,052,666,142,369,702,172,502,631,819,924,869,436,571,044,
985,897,293,560,338,619,662,017,687,279,175,535,289,888,167,422,542,126,761,
546,647,854,056,406,882,304,220,549,697,938,127,533,583,648,260,823,034,428,
981,077,473,675,739,512,549,841,002,749,200,640,217,329,298,701,505,291,037,
267,831,432,241,405,210,603,558,621,363,879,817,071,470,962,654,747,793,202,
969,212,370,619,116,226,746,105,596,131,139,606,851,384,622,202,962,663,622,
793,161,301,626,467,931,447,454,992,428,987,301,487,325,491,429,277,029,485,
521,758,194,259,207,529,634,087,125,193,999,275,992,120,136,699,906,908,254,
698,870,868,024,283,686,495,475,941,393,805,105,093,839,825,366,970,014,873,
318,537,107,245,306,967,413,359,252,913,201,247,836,122,559,745,719,397,235,
224,998,120,458,095,307,504,353,989,743,413,119,364,137,295,189,094,456,495,
422,978,568,367,217,475,488,814,030,526,891,130,901,144,350,350,397,485,394,
092,707,702,008,111,624,806,314,732,084,783,702,811,747,498,231,041,522,901,
026,736,203,879,971,252,205,400,343,450,261,429,370,626,537,253,860,432,428,
563,949,066,407,628,777,000,204,007,497,205,977,786,820,720,660,569,035,878,
045,405,195,156,445,456,875,727,579,073,821,747,997,271,487,509,138,941,751,
193,561,139,453,561,594,561,306,248,047,931,065,788,453,414,624,498,097,652,
314,617,936,672,269,746,726,487,923,623,879,608,459,389,971,687,329,028,249,
928,724,940,644,777,603,763,097,107,085,752,930,371,466,427,382,686,353,073,
301,511,147,891,424,637,532,149,113,712,552,056,160,919,002,264,237,606,934,
817,952,946,164,713,373,178,335,596,814,522,881,650,002,212,007,326,663,110,
465,468,230,359,846,927,800,368,729,856,016,812,365,499,235,208,905,055,400,
894,929,989,311,368,887,693,370,451,607,406,374,289,585,744,674,564,275,459,
830,375,712,873,712,405,183,574,139,433,374,946,781,725,620,746,810,563,766,
018,892,934,457,173,733,252,418,989,362,761,734,214,343,413,752,691,617,013,
840,517,216,346,818,084,353,066,292,804,677,179,463,851,765,811,936,107,984,
470,570,536,329,316,621,408,383,547,182,929,713,607,726,726,458,033,290,005,
897,100,068,514,272,132,668,332,638,315,231,458,560,735,798,639,734,488,477,
532,707,578,184,246,146,740,717,891,370,479,263,574,878,393,737,404,723,797,
882,670,872,439,186,857,697,169,255,603,911,123,787,876,604,700,640,948,324,
136,614,874,044,295,564,820,595,353,155,173,621,212,890,676,628,464,983,045,
939,140,404,236,764,025,623,844,810,271,527,070,356,497,922,301,223,578,799,
692,011,742,775,910,072,376,929,684,136,377,186,702,580,422,526,452,982,947,
790,180,103,315,197,000,610,858,833,265,102,245,578,506,960,971,728,701,462,
501,614,743,998,177,119,124,349,710,371,187,856,934,351,498,676,032,239,720,
434,593,778,707,219,739,272,254,964,463,118,311,845,434,947,548,056,319,422,
119,998,862,302,857,387,973,702,173,184,427,716,763,735,262,298,326,021,021,
451,326,160,647,053,443,645,266,181,293,662,670,858,214,086,661,561,471,313,
237,493,840,870,532,169,268,429,327,890,221,372,430,336,869,640,002,755,599,
078,114,530,328,712,059,290,642,143,298,871,323,279,070,725,407,380,561,253,
723,998,648,340,771,944,960,789,297,877,745,988,348,541,928,715,694,118,808,
752,366,190,285,262,993,221,431,190,354,482,735,730,792,320,402,371,649,413,
621,242,794,510,306,729,056,803,925,255,255,802,683,330,466,638,885,809,236,
408,159,037,432,169,657,600,368,306,431,705,685,676,067,053,296,002,413,174,
049,918,072,139,289,588,874,244,660,261,969,631,951,503,608,551,802,856,892,
913,123,979,670,295,035,255,809,677,347,889,907,006,558,004,695,151,345,375,
291,062,769,283,504,275,222,338,713,710,851,017,729,998,669,952,694,333,795,
573,511,352,998,477,570,783,657,510,638,819,196,537,394,509,743,670,383,760,
663,439,837,458,968,488,718,090,827,951,199,864,703,678,910,009,417,656,497,
399,180,838,932,611,677,817,896,305,399,099,759,624,327,211,150,054,286,177,
910,539,805,177,352,406,536,985,907,222,965,124,847,300,108,509,185,000,777,
646,735,850,165,643,015,622,567,547,726,142,889,861,299,787,882,473,412,627,
002,747,010,998,644,791,487,117,170,760,204,719,593,946,366,954,078,657,257,
589,789,590,823,902,354,340,804,737,111,363,981,761,466,869,110,107,330,642,
966,112,777,404,144,017,622,916,371,982,287,179,980,638,514,722,853,386,975,
766,140,876,570,530,774,470,479,516,119,522,573,343,740,843,452,359,369,613,
690,202,814,109,885,410,777,488,538,269,938,842,333,725,764,788,442,015,727,
122,743,886,307,031,502,632,874,978,867,514,883,399,637,755,244,360,015,383,
474,065,661,598,071,674,017,621,278,613,444,779,820,537,208,724,460,096,546,
942,393,183,739,919,069,051,762,667,634,277,280,823,505,633,710,583,112,396,
356,448,430,158,730,606,300,021,519,708,487,755,360,449,582,370,185,049,004,
539,555,572,138,055,900,230,196,851,217,236,465,005,410,327,808,516,025,951,
105,397,805,065,797,368,918,533,178,838,523,297,616,191,010,005,707,377,040,
624,038,535,578,764,679,231,609,957,053,568,461,172,234,634,595,341,006,519,
838,341,240,141,870,045,284,917,640,209,788,034,636,128,835,087,064,667,409,
998,900,777,736,358,051,097,264,181,614,816,420,929,512,235,369,425,084,087,
223,549,474,930,477,208,677,142,360,661,583,211,209,168,665,247,737,447,944,
341,077,424,037,905,050,288,412,361,900,026,999,104,744,112,468,982,981,034,
888,447,537,345,659,740,467,791,870,042,896,364,431,471,667,140,529,533,791,
384,179,237,289,633,515,669,164,328,422,894,617,758,817,338,798,287,450,543,
894,671,366,751,875,108,118,835,942,281,506,245,671,344,958,726,820,615,509,
105,640,223,381,829,880,476,199,739,713,389,684,637,220,593,974,556,081,604,
739,578,224,981,069,583,870,216,746,965,716,231,004,923,445,830,839,021,144,
334,172,693,478,258,146,297,941,359,275,400,877,946,171,260,640,270,210,285,
484,253,232,077,297,413,793,861,980,270,746,659,093,896,106,994,858,005,761,
748,152,854,214,663,820,120,618,660,442,675,689,256,340,487,614,664,078,693,
271,944,471,330,390,562,212,742,498,171,599,380,025,566,771,045,657,554,271,
765,766,413,720,487,483,801,198,599,913,217,971,117,986,189,072,562,430,331,
212,438,661,994,792,366,919,429,830,304,468,647,109,318,020,312,686,249,046,
315,016,784,892,101,497,203,826,983,474,487,421,333,726,324,177,076,141,933,
127,743,950,068,486,872,070,135,789,717,288,543,518,189,945,572,381,588,546,
294,651,663,324,024,555,534,760,233,226,329,638,551,740,751,558,220,257,674,
905,753,446,627,656,078,890,004,680,969,714,003,524,424,629,074,327,541,043,
759,814,038,871,501,732,824,622,475,218,374,417,135,732,506,610,886,747,424,
510,999,570,417,581,735,358,083,998,364,697,061,492,893,787,758,441,028,558,
299,926,829,063,055,926,920,916,468,732,125,972,149,607,213,030,907,539,592,
689,530,144,559,873,697,135,066,103,927,872,803,778,847,903,115,349,744,438,
962,131,707,314,572,301,621,764,595,525,162,484,074,721,854,747,106,860,275,
937,159,116,525,943,998,260,611,639,498,513,455,351,099,509,787,234,747,481,
669,767,963,544,556,344,983,355,273,913,733,681,599,936,036,875,707,804,771,
841,689,361,508,026,710,969,374,895,081,075,563,302,455,004,227,007,307,142,
333,704,959,462,863,128,578,140,488,492,130,672,763,552,523,876,662,000,965,
044,285,669,165,581,662,682,375,484,437,255,828,261,816,435,453,931,807,259,
891,836,658,724,479,139,199,322,038,469,799,692,489,547,877,758,671,885,454,
426,588,299,166,731,857,158,779,567,653,119,821,113,677,475,993,350,682,276,
684,995,467,537,708,741,434,036,156,945,402,138,120,782,175,360,684,849,222,
997,978,999,224,767,815,308,234,044,829,244,937,111,112,727,439,442,377,566,
193,788,703,630,782,100,623,250,153,093,987,433,896,907,270,263,901,055,878,
391,668,158,089,766,860,770,505,620,188,754,603,474,684,214,474,692,158,044,
048,932,109,222,321,058,782,495,080,841,172,855,087,570,584,700,909,149,312,
542,515,186,325,655,007,944,959,424,320,242,617,529,641,859,395,533,442,237,
657,197,003,640,481,163,071,162,897,355,846,254,459,445,035,614,502,126,229,
242,091,224,709,802,993,497,275,638,766,508,097,410,828,117,480,004,201,745,
889,171,149,436,960,649,874,213,058,569,628,562,407,948,078,736,769,677,766,
645,308,329,820,849,541,692,202,043,372,812,458,933,347,138,858,220,185,065,
926,780,126,374,264,971,898,916,817,015,929,421,205,739,797,910,068,637,007,
657,529,645,079,095,152,903,023,784,305,574,497,390,279,949,448,561,419,583,
133,316,595,679,811,937,905,320,688,792,802,508,131,805,556,824,109,702,364,
137,739,322,418,865,962,233,068,402,351,775,204,061,860,918,954,037,147,016,
873,305,139,102,512,509,696,520,974,189,192,354,116,821,878,052,773,394,643,
785,209,316,506,094,364,225,354,062,417,677,245,832,775,874,229,791,727,177,
687,930,622,586,018,386,556,145,939,409,527,186,197,547,216,988,422,084,359,
908,319,395,646,593,805,648,470,271,398,008,952,708,255,791,265,155,695,323,
812,965,925,115,252,731,514,699,654,336,729,922,240,652,776,269,872,966,434,
434,080,530,145,147,932,912,536,116,065,804,484,802,676,713,802,819,441,051,
384,743,264,805,914,807,723,913,293,517,763,321,417,258,946,654,661,801,338,
023,347,378,437,574,330,861,505,163,793,393,720,699,409,468,714,488,287,197,
949,829,732,742,217,564,643,226,376,961,057,644,971,218,016,094,152,690,190,
104,055,395,825,687,442,613,356,339,285,789,614,854,775,397,075,221,920,526,
823,125,698,244,857,386,187,895,399,393,112,787,132,951,056,792,334,186,466,
373,509,794,438,452,546,937,246,008,433,887,232,105,109,544,191,038,819,599,
917,956,326,140,451,863,012,879,540,095,589,841,324,679,526,286,301,461,413,
111,863,506,850,948,349,238,383,187,831,229,853,574,293,015,243,073,746,730,
115,573,003,727,485,392,987,324,620,675,928,972,325,357,754,782,329,169,872,
447,014,515,591,063,066,576,429,515,505,203,111,902,163,512,210,785,179,447,
358,801,904,217,931,036,337,372,557,825,577,385,123,636,571,580,914,548,789,
992,029,055,053,597,493,124,278,431,735,529,085,900,724,972,698,046,155,662,
343,792,812,997,553,473,108,396,490,141,716,895,271,550,724,646,356,847,313,
178,520,636,843,023,027,927,841,664,099,019,320,190,916,072,689,590,171,457,
194,059,619,606,434,721,160,475,364,539,456,256,791,432,018,783,969,123,755,
889,464,125,860,276,008,575,632,339,638,467,205,421,599,443,286,338,398,424,
777,768,650,825,967,346,013,197,384,732,130,237,330,287,868,731,948,891,357,
741,416,514,353,483,195,134,418,900,214,285,962,271,081,130,696,828,037,485,
668,614,791,190,912,428,867,733,405,924,586,336,904,138,278,042,581,023,636,
592,513,164,266,326,048,960,404,341,620,857,828,475,861,037,109,538,640,129,
958,487,635,043,202,543,974,617,962,006,655,796,921,649,158,550,133,875,655,
137,389,392,333,586,278,631,166,177,728,348,436,588,141,976,170,500,579,981,
030,021,097,447,098,320,882,159,353,353,667,015,150,363,370,795,949,432,944,
190,791,985,943,989,596,961,504,465,616,888,772,602,916,467,024,660,498,160,
646,836,031,154,721,212,990,030,758,503,560,158,375,272,978,676,449,474,864,
952,456,655,482,017,822,421,276,832,570,828,282,136,293,082,954,405,383,038,
552,023,346,431,378,292,448,463,060,469,675,728,582,001,833,030,526,063,804,
707,684,831,113,601,883,956,068,294,068,928,629,648,849,775,062,594,388,904,
183,645,322,091,444,393,559,580,609,726,544,137,217,937,745,354,281,757,272,
847,453,644,634,091,343,185,627,502,106,408,102,651,884,376,344,147,717,564,
456,655,389,413,593,484,644,348,334,457,306,567,791,087,647,595,661,172,472,
440,724,093,054,973,510,655,595,336,420,259,998,695,174,241,945,188,309,363,
765,109,325,580,577,663,944,768,514,537,556,320,960,179,462,681,948,078,733,
866,240,486,896,944,905,735,389,418,448,394,246,075,677,567,760,753,967,302,
646,532,945,233,120,408,504,217,274,709,577,690,444,246,160,359,744,845,211,
179,157,183,602,101,867,411,783,038,016,897,275,092,000,840,678,185,279,709,
769,943,689,450,243,593,166,011,520,006,635,988,190,779,652,591,744,818,872,
275,437,300,192,336,822,614,576,797,180,442,911,305,597,828,492,518,762,372,
411,875,121,231,418,874,354,786,608,497,833,090,746,602,358,529,483,260,054,
288,495,034,709,759,118,950,007,654,678,202,022,947,013,413,637,613,062,223,
122,301,641,802,341,297,861,144,080,710,114,088,956,416,947,481,343,194,009,
514,011,390,086,259,801,040,509,818,540,327,354,002,839,493,090,525,778,820,
376,920,267,090,473,211,366,775,792,502,470,382,231,004,755,104,263,097,702,
676,842,250,245,599,431,026,265,597,989,918,909,277,075,178,306,323,786,892,
961,991,037,615,393,421,657,150,391,066,373,401,829,570,400,389,573,768,716,
024,121,515,336,547,103,801,472,825,125,346,209,540,915,044,760,056,246,174,
964,413,138,331,174,371,973,797,234,989,915,199,073,123,383,796,572,853,504,
715,854,710,753,010,849,230,652,293,358,123,369,675,890,935,024,257,644,520,
519,851,466,043,500,230,875,899,456,440,776,838,308,972,812,035,319,567,038,
311,005,652,199,268,173,660,222,469,409,357,967,255,246,883,245,453,951,880,
868,201,237,525,377,384,445,477,175,772,505,426,679,522,015,481,826,785,526,
219,175,023,501,584,248,823,019,690,563,135,139,799,642,949,933,533,489,355,
257,488,131,987,578,834,945,152,990,770,978,358,244,082,591,383,562,059,082,
614,830,092,982,034,445,078,401,833,108,501,931,074,559,707,597,867,614,402,
622,209,664,466,913,599,483,877,000,808,697,625,811,145,501,096,167,915,802,
718,511,725,527,789,872,724,758,937,614,386,277,605,422,831,483,220,906,425,
534,316,312,076,837,747,689,298,873,291,818,175,049,131,083,335,368,068,715,
191,727,886,511,082,974,547,187,893,776,684,812,971,704,519,508,915,070,080,
730,737,317,779,419,326,418,667,180,096,333,799,894,311,963,962,994,997,039,
075,882,034,642,597,743,485,637,739,078,791,879,463,173,726,936,734,219,899,
931,052,071,312,368,288,959,735,198,872,156,121,249,086,337,839,494,446,811,
574,976,453,273,303,955,217,537,237,271,641,894,890,297,758,159,220,142,793,
199,855,241,734,718,399,814,575,197,935,838,355,656,259,388,212,792,996,011,
840,015,525,953,507,468,750,342,221,641,439,234,393,289,829,207,715,022,910,
123,667,652,793,239,703,555,061,657,196,338,591,739,925,747,459,421,258,595,
229,120,009,533,598,388,548,284,625,682,553,236,892,539,013,076,155,438,766,
312,445,954,075,808,111,872,957,380,385,260,474,404,051,368,920,983,319,128,
258,374,449,340,998,186,081,111,491,467,237,295,671,302,538,512,865,027,605,
910,310,822,660,013,091,899,231,838,948,078,023,025,456,490,187,417,401,014,
059,004,384,130,713,314,096,734,635,892,810,623,999,120,579,437,509,282,210,
602,031,222,244,069,027,592,146,766,607,015,850,892,153,196,300,576,984,309,
049,663,960,219,292,685,570,240,378,873,452,997,608,111,412,863,038,066,117,
638,956,555,823,979,287,099,210,905,894,403,228,716,070,163,990,454,226,158,
216,889,432,165,384,220,534,934,958,371,734,048,579,018,177,669,453,247,013,
977,592,058,849,632,857,416,619,676,980,029,371,874,490,029,164,380,446,616,
584,126,412,863,649,066,298,841,879,198,164,343,974,856,778,594,994,924,281,
170,651,492,632,579,421,616,469,808,591,627,558,480,503,055,266,708,318,175,
196,116,755,933,946,477,771,499,067,396,363,684,328,743,595,709,959,006,228,
951,241,117,639,086,807,046,412,536,731,150,216,916,649,549,555,984,519,555,
249,981,634,087,124,871,649,365,942,330,841,316,788,623,540,971,623,694,681,
336,364,739,911,027,809,661,915,525,132,778,010,160,222,560,785,416,715,531,
767,129,883,909,967,522,499,065,776,692,413,082,855,062,225,043,244,988,985,
145,332,947,854,809,974,351,391,320,925,163,009,786,806,638,157,748,604,442,
507,112,931,420,391,105,675,568,279,416,309,132,785,251,360,987,593,634,965,
057,567,218,252,788,203,004,916,976,840,395,187,912,010,456,932,096,396,342,
312,002,078,088,304,336,410,893,367,324,097,032,374,624,396,788,302,674,575,
405,412,543,917,669,263,939,640,392,097,617,086,204,935,836,492,278,741,347,
963,504,174,176,777,869,499,153,699,544,217,291,915,575,928,100,260,033,313,
281,821,058,640,204,194,035,969,596,798,873,560,107,009,941,819,174,047,691,
818,458,622,407,127,395,440,693,394,461,450,254,079,152,820,751,963,530,717,
730,317,126,234,796,013,515,190,114,472,005,351,962,152,132,496,300,502,374,
976,979,707,323,704,916,204,994,679,363,994,320,039,781,256,060,089,284,807,
992,497,501,946,727,447,958,683,848,248,789,127,878,178,922,234,798,865,551,
734,406,882,578,328,420,066,311,557,347,310,700,831,869,481,404,348,510,506,
121,084,534,626,659,516,560,939,835,899,014,467,393,557,771,269,113,288,714,
554,414,251,494,209,058,637,239,758,628,354,082,899,341,865,346,427,327,563,
075,905,612,887,697,718,125,159,291,703,260,872,326,979,265,123,854,158,934,
155,603,822,744,650,928,518,877,587,717,333,734,112,273,837,909,144,500,240,
331,968,271,637,992,900,985,548,252,809,298,212,715,369,095,243,152,281,839,
531,332,184,119,292,750,118,141,991,255,573,046,707,638,801,634,459,205,857,
703,003,884,034,785,017,368,439,989,185,777,469,799,306,329,289,554,371,447,
311,084,823,289,653,541,532,009,577,785,648,474,448,040,483,426,594,842,346,
137,678,468,095,879,049,165,765,689,751,343,092,299,076,999,925,198,929,436,
906,806,474,860,488,512,483,095,582,517,840,126,949,769,817,432,992,263,903,
407,421,516,827,133,014,708,253,715,751,531,365,245,199,007,135,703,554,702,
267,183,536,262,721,704,623,536,424,404,682,073,206,034,368,114,932,215,094,
881,121,927,029,449,482,173,495,882,533,391,432,282,515,875,919,690,338,150,
879,538,819,188,412,933,472,500,378,232,903,403,978,952,450,993,403,810,290,
569,667,169,083,720,616,296,467,894,774,141,288,357,185,032,108,744,309,267,
210,611,090,143,119,753,109,251,918,373,930,209,081,884,716,312,170,560,109,
408,649,312,736,383,525,180,412,807,253,327,376,557,288,221,542,467,093,301,
852,419,007,496,545,189,829,225,846,628,575,792,959,076,518,790,983,708,342,
238,608,626,752,488,644,884,771,856,864,946,327,627,499,053,241,726,287,244,
923,010,936,984,227,264,235,117,760,527,087,270,521,011,071,405,947,374,917,
590,232,730,882,845,945,477,596,429,151,496,437,848,769,540,678,337,378,163,
034,296,944,771,433,995,879,327,750,821,666,949,322,328,438,972,680,614,365,
200,768,883,609,068,842,439,453,480,257,631,787,569,840,387,811,147,402,723,
613,644,832,369,686,708,055,505,593,380,874,820,363,889,254,822,127,484,073,
821,329,363,411,223,485,878,332,232,944,768,426,323,471,893,913,969,859,197,
957,984,007,106,390,141,653,785,757,972,741,960,743,812,439,832,263,946,144,
082,167,568,828,513,789,333,951,212,734,516,593,333,955,446,871,960,033,992,
699,479,458,986,146,442,487,207,898,458,322,043,649,849,110,782,018,475,212,
796,824,494,437,050,345,221,276,900,351,487,244,826,427,877,182,864,369,355,
115,928,818,326,584,607,170,260,019,401,904,155,489,979,018,022,739,162,464,
462,125,551,503,938,754,179,076,714,802,543,181,523,483,478,171,202,088,809,
620,231,182,590,073,975,613,580,651,086,070,868,514,575,106,415,356,081,429,
446,730,697,763,730,324,086,006,124,953,621,530,927,403,560,096,971,013,532,
649,052,728,750,485,722,206,733,782,023,565,632,790,753,103,738,180,527,857,
947,867,542,699,102,833,997,611,359,976,803,298,317,857,408,647,530,884,137,
288,466,804,815,524,757,479,194,106,768,680,058,583,312,304,104,227,216,923,
005,919,743,911,938,404,624,518,132,307,464,798,016,225,396,572,178,880,999,
706,355,491,025,404,866,603,649,003,201,056,738,577,166,661,165,528,996,942,
225,287,700,861,258,455,378,731,752,687,104,200,405,993,140,342,920,673,691,
887,332,823,295,758,534,493,093,345,379,517,739,269,838,435,615,325,638,687,
840,535,294,787,204,291,458,842,147,024,931,631,956,867,814,340,304,197,746,
280,382,127,608,123,146,647,157,427,495,235,737,894,598,783,791,239,366,104,
393,478,966,494,385,981,467,572,391,443,616,862,125,852,564,309,222,174,243,
834,736,089,590,692,708,056,044,813,009,697,439,418,641,711,676,611,812,515,
791,689,134,812,504,322,459,989,628,043,595,216,171,175,064,522,583,463,165,
373,994,880,577,753,702,537,570,476,698,150,944,261,340,777,817,055,168,455,
511,091,614,936,158,385,059,656,102,783,809,003,846,632,153,171,614,166,760,
948,416,967,167,352,733,134,972,978,469,211,938,732,039,825,869,881,210,336,
501,340,742,996,416,896,683,670,304,831,133,693,366,494,400,791,316,367,105,
322,447,690,563,779,204,721,318,552,848,864,727,885,491,088,187,793,581,471,
434,462,723,384,766,560,550,417,647,738,645,653,796,710,641,891,773,117,251,
306,165,554,400,379,870,015,353,374,245,947,359,710,045,966,108,483,504,732,
892,011,089,980,648,158,899,919,406,555,967,013,205,714,992,823,232,002,487,
872,546,334,973,688,144,337,522,026,196,311,496,245,181,699,386,361,250,779,
000,363,877,534,248,597,436,255,680,211,642,449,917,359,282,789,729,302,005,
112,056,123,933,975,153,419,485,114,300,547,225,847,505,289,796,703,961,113,
597,648,263,483,805,704,570,086,563,729,985,701,200,629,755,424,167,912,504,
051,144,808,924,895,621,281,179,576,897,394,195,025,875,169,208,802,631,793,
209,973,538,240,820,194,187,434,210,279,194,801,096,200,753,181,658,912,326,
716,082,882,170,082,391,135,452,103,369,876,595,219,459,126,845,805,641,698,
816,445,359,450,111,644,493,492,103,428,725,045,384,130,672,853,804,857,456,
263,341,645,831,518,711,605,062,931,573,219,102,368,991,644,202,993,305,747,
481,354,155,825,231,887,435,328,567,921,086,402,434,010,910,244,233,261,413,
796,777,211,048,019,544,845,147,174,791,809,935,261,183,071,709,190,902,667,
821,093,696,220,683,261,498,946,301,936,940,479,968,985,139,300,922,735,915,
560,658,295,190,234,932,666,979,891,681,053,460,158,647,021,792,195,111,400,
818,412,881,118,743,469,919,215,001,724,052,359,354,543,433,571,047,071,181,
626,279,133,762,732,052,182,866,420,515,330,924,468,621,988,387,408,416,692,
874,204,177,031,152,587,275,724,287,354,199,456,364,242,266,863,677,210,504,
434,947,978,978,689,527,002,898,695,797,283,194,251,108,368,697,480,962,914,
066,016,290,267,624,196,620,016,614,119,522,485,100,112,131,469,118,579,736,
557,846,873,659,047,466,327,590,345,676,466,462,955,220,142,977,701,183,542,
540,155,173,039,004,500,799,991,237,247,473,284,164,487,682,458,832,095,459,
244,224,375,015,772,074,925,557,343,695,853,826,254,040,845,516,724,779,684,
441,910,552,196,876,828,792,513,695,116,672,797,181,474,078,641,154,596,817,
513,406,878,229,745,113,128,533,075,239,642,495,236,730,534,769,416,406,721,
408,195,642,901,226,778,188,036,256,762,435,488,688,355,636,858,447,173,092,
723,953,852,761,124,924,509,474,356,668,677,954,385,513,195,037,063,621,666,
279,483,032,199,293,126,247,086,767,936,767,306,425,140,584,963,918,781,730,
935,920,884,654,222,939,965,069,195,467,743,457,854,112,666,480,022,376,424,
614,239,621,898,112,226,277,549,884,912,958,123,726,615,773,157,398,977,914,
437,511,625,547,002,114,579,813,473,426,878,498,502,987,727,263,336,126,931,
453,211,836,699,369,776,318,644,613,188,611,062,658,409,472,129,102,253,469,
566,872,523,711,724,732,486,836,070,792,095,862,633,444,774,296,606,888,966,
571,060,378,734,601,793,406,445,157,155,792,145,428,028,528,073,909,294,057,
345,774,269,425,479,057,670,224,522,294,679,632,604,358,281,809,583,064,937,
197,100,609,812,746,114,024,266,726,436,890,117,455,656,437,414,226,515,403,
394,277,552,461,428,270,505,414,581,076,959,957,276,201,820,989,637,798,280,
811,306,655,558,413,201,977,198,381,690,130,608,472,827,460,121,029,075,134,
744,245,770,354,821,507,751,420,237,885,889,492,979,544,260,872,755,130,593,
933,970,280,249,246,633,802,582,204,665,835,807,744,176,429,265,291,321,818,
508,713,237,554,591,604,601,129,449,742,096,154,449,253,966,355,021,709,392,
219,849,473,413,697,086,141,741,893,468,095,024,030,641,111,646,213,410,150,
401,410,964,249,950,367,758,006,092,809,991,069,770,146,502,260,836,785,638,
748,378,989,174,328,864,004,980,483,713,163,607,453,773,326,273,380,138,184,
621,818,210,688,688,160,405,281,155,487,774,757,963,939,230,135,338,160,078,
588,665,903,132,727,724,695,376,098,869,994,925,937,767,245,330,766,907,413,
109,474,134,612,701,343,601,982,446,868,552,320,098,351,664,553,765,954,354,
928,737,536,898,759,109,762,574,877,741,239,089,413,117,265,846,541,497,957,
628,432,111,424,016,193,938,983,860,817,001,343,067,771,751,505,761,744,419,
313,948,239,322,374,071,709,937,271,610,739,624,729,213,154,252,786,228,169,
656,554,723,081,647,599,857,120,140,888,758,905,172,691,592,568,123,771,280,
931,298,841,466,590,979,230,995,126,478,693,007,321,338,109,682,616,384,916,
577,759,423,299,939,079,607,654,045,711,611,201,818,956,430,608,819,813,313,
812,563,286,333,289,505,986,449,580,696,813,614,869,914,904,088,156,515,948,
884,974,721,251,020,788,809,474,121,024,987,591,277,256,604,849,492,485,991,
604,183,423,955,571,839,579,194,514,471,537,689,918,265,679,256,995,714,862,
070,210,425,900,257,197,954,769,786,567,513,450,527,121,343,900,974,332,950,
465,654,446,584,634,674,440,924,164,715,583,891,209,001,186,710,596,015,321,
093,083,023,484,034,059,116,737,955,300,649,944,078,808,080,572,309,352,816,
080,187,945,796,583,437,948,752,333,723,210,810,573,937,596,532,758,692,205,
280,105,067,097,956,374,813,238,072,898,103,475,418,071,107,572,558,060,826,
300,811,271,786,624,855,470,560,845,880,194,569,338,222,445,522,603,997,048,
084,385,564,308,928,608,791,215,785,592,588,093,816,100,014,556,025,742,613,
573,210,761,847,043,028,512,137,142,139,317,721,284,840,248,438,494,830,281,
066,511,439,227,319,776,749,336,959,365,375,041,141,059,455,511,852,550,772,
997,672,036,419,279,998,524,702,036,125,951,504,956,035,095,968,283,655,292,
782,689,900,823,299,929,749,284,247,291,341,041,666,639,311,198,213,350,200,
790,773,200,768,846,083,146,222,342,862,543,981,887,580,683,705,551,913,618,
420,756,638,479,523,397,156,647,879,253,693,629,635,133,246,271,898,227,937,
595,780,246,504,544,915,533,001,125,757,013,989,335,354,564,089,571,406,275,
017,336,826,443,773,731,884,042,587,435,552,459,587,809,874,076,882,016,615,
811,005,767,777,155,130,209,769,315,679,571,501,307,935,250,164,245,619,717,
104,714,805,807,957,174,354,024,301,821,378,583,380,448,987,635,027,420,590,
586,945,444,517,820,775,062,914,530,238,058,734,655,748,457,894,786,339,942,
155,390,835,870,308,856,271,056,627,418,942,222,429,324,946,939,171,013,884,
062,404,841,092,780,448,257,147,973,160,377,896,985,097,277,285,274,538,979,
554,374,572,200,713,238,754,095,914,129,875,991,075,530,409,232,083,936,442,
782,471,764,772,210,457,484,168,041,749,396,709,729,709,833,998,258,763,686,
583,474,276,539,246,258,128,764,139,170,931,871,675,018,303,565,758,679,726,
524,561,509,448,251,038,711,376,466,678,709,164,484,314,105,635,619,771,371,
608,856,525,555,391,951,067,333,858,540,796,820,000,641,754,845,624,637,795,
936,179,570,359,304,612,112,436,924,104,808,584,654,163,946,799,949,481,068,
573,185,069,254,738,121,689,795,646,287,133,873,758,143,312,985,502,759,819,
806,707,156,886,752,883,383,630,376,083,286,519,817,798,368,979,354,113,033,
015,180,665,694,399,781,731,188,709,748,218,274,676,994,753,238,301,084,513,
134,307,499,124,762,112,023,012,046,409,730,426,509,039,242,447,553,490,945,
814,510,250,247,447,272,040,070,659,633,054,826,644,488,562,501,876,337,216,
826,681,606,664,277,640,339,111,946,639,518,774,596,044,256,122,136,601,727,
874,575,366,910,754,525,924,518,385,277,666,098,714,704,387,210,327,210,482,
206,482,340,449,256,765,279,838,457,662,907,670,463,440,397,450,357,785,283,
517,362,876,666,078,923,373,374,988,533,515,241,369,051,105,583,520,271,055,
208,542,218,982,781,188,816,658,460,374,340,397,317,490,289,170,828,823,295,
860,604,431,417,263,823,395,117,096,596,629,751,294,045,052,253,623,252,289,
424,877,402,667,098,703,369,708,321,843,454,438,125,032,679,610,192,878,676,
675,030,727,973,260,554,323,774,122,060,683,705,227,827,714,215,773,321,870,
388,069,422,741,971,761,120,195,569,330,981,160,052,260,550,126,072,132,674,
207,455,281,336,136,382,763,633,345,940,135,843,107,209,602,206,513,954,734,
044,909,832,993,397,812,136,656,309,091,014,189,600,458,060,037,952,430,974,
107,197,999,000,924,235,380,797,725,588,478,519,556,723,658,425,571,406,562,
964,604,755,470,487,926,774,485,911,049,647,245,218,894,682,721,701,615,397,
156,649,305,453,967,088,209,048,079,542,852,887,762,683,979,540,210,247,543,
238,951,077,768,451,088,201,652,520,802,115,002,004,834,068,074,374,795,243,
748,080,747,396,767,335,378,779,171,005,693,753,464,423,979,343,661,578,989,
042,222,932,991,899,202,994,622,922,834,660,538,373,315,758,061,813,240,043,
202,734,988,836,062,525,830,491,272,642,361,818,335,461,639,755,734,446,792,
023,942,246,756,271,817,942,996,734,814,752,751,756,325,393,275,497,085,140,
805,810,547,499,901,349,592,673,318,146,091,080,113,048,440,142,657,925,294,
814,928,000,362,777,072,508,571,451,918,563,076,457,561,135,198,005,775,552,
449,732,570,638,529,531,481,586,160,275,159,317,584,435,947,613,524,119,463,
416,038,809,591,374,166,522,113,889,202,278,106,097,687,993,701,176,280,305,
090,650,688,001,418,700,431,595,863,060,095,484,112,507,586,044,196,979,210,
059,707,262,438,649,248,601,857,002,812,460,260,416,011,666,290,425,592,346,
027,489,933,058,740,364,691,326,835,323,608,766,136,929,164,525,666,052,257,
061,296,499,065,749,036,525,336,121,228,586,077,910,281,958,435,273,924,394,
213,192,000,778,845,023,053,676,940,529,545,722,332,481,273,115,576,189,467,
060,806,229,348,467,709,050,126,807,201,784,761,431,279,289,899,089,457,204,
611,356,726,334,058,550,136,279,517,168,690,401,865,898,021,808,305,733,053,
286,669,170,944,786,514,591,597,901,674,068,140,782,374,638,744,251,012,220,
311,997,803,313,587,801,785,165,238,901,480,694,908,902,659,636,577,637,448,
944,044,572,305,250,655,567,623,632,643,069,173,753,432,498,702,352,107,758,
223,368,079,628,815,288,147,854,932,342,277,002,048,449,221,408,568,910,209,
510,025,712,698,450,469,727,527,707,702,077,960,089,392,417,540,302,816,734,
200,423,271,417,188,531,322,532,049,831,884,636,680,793,154,362,197,556,409,
378,878,173,804,828,692,328,775,899,161,900,649,370,997,919,465,376,418,632,
303,277,081,444,558,888,009,340,184,639,337,422,150,641,800,280,042,058,310,
452,904,920,069,074,050,629,500,107,834,507,136,950,653,578,535,599,941,605,
984,694,838,385,894,691,228,514,289,769,669,151,512,743,858,238,419,522,500,
701,956,798,295,321,389,617,407,949,952,038,493,399,513,942,508,386,789,832,
786,984,017,805,586,059,605,903,382,544,722,021,459,111,167,878,419,765,882,
065,022,862,061,486,905,391,030,589,159,545,050,356,676,958,674,524,536,311,
093,937,349,618,276,173,001,062,051,489,395,782,465,573,607,085,853,553,517,
886,143,680,665,047,594,908,839,030,956,545,154,585,036,004,090,253,905,970,
500,952,930,314,970,666,612,196,163,705,399,868,499,483,454,724,541,012,699,
008,333,772,442,849,557,169,149,009,413,100,959,800,325,553,954,343,355,840,
512,590,220,193,409,057,602,305,610,926,458,905,412,563,218,942,124,369,327,
540,528,685,740,982,996,000,942,167,803,101,075,119,117,612,147,315,217,045,
286,959,347,103,971,817,863,477,736,215,649,056,032,747,166,975,390,888,627,
607,617,779,209,513,838,319,283,828,046,621,104,988,879,643,514,176,255,810,
537,957,134,796,646,341,663,832,756,179,451,044,658,730,310,228,759,058,918,
363,541,948,098,707,410,945,063,052,908,081,043,649,270,936,108,363,373,240,
354,308,728,306,487,609,692,641,843,286,464,589,260,508,852,531,697,875,843,
363,331,676,678,435,266,722,140,413,894,029,970,573,151,970,162,587,841,681,
069,503,201,022,655,217,164,002,782,634,000,400,462,836,259,642,182,350,570,
801,106,343,392,595,629,684,057,461,869,281,131,617,321,847,140,467,151,765,
500,554,404,262,481,667,071,060,385,728,193,075,200,986,982,765,107,913,557,
550,847,025,458,433,602,953,152,680,398,064,270,414,302,783,243,562,418,372,
055,818,096,073,347,882,202,660,773,599,261,840,092,214,935,474,558,991,252,
606,712,566,427,347,929,100,318,167,328,103,358,676,914,952,043,901,486,459,
052,838,731,679,833,552,272,021,345,999,608,550,012,991,008,135,974,473,396,
670,880,690,544,650,421,186,328,391,798,845,648,148,010,205,396,569,592,826,
256,442,036,199,893,498,873,763,095,825,174,338,233,505,393,979,490,455,336,
343,881,874,240,360,162,269,656,073,719,391,585,154,629,505,172,163,507,561,
068,102,113,803,261,456,632,236,436,870,984,118,401,261,491,569,193,349,502,
564,208,394,058,386,743,094,918,904,896,392,016,103,397,906,386,249,056,429,
153,299,787,052,817,722,972,685,690,988,224,991,658,718,467,114,559,858,384,
735,912,839,505,748,917,393,504,567,203,047,513,991,181,618,462,056,605,912,
995,788,320,159,750,515,474,711,592,812,985,614,583,354,489,086,818,504,277,
126,536,248,601,604,469,778,850,689,269,361,110,674,952,274,823,160,470,405,
765,887,725,954,135,394,653,734,692,774,626,438,496,518,523,089,483,914,167,
253,073,998,222,770,601,898,725,594,986,094,078,797,768,274,884,488,964,058,
889,952,707,041,404,686,659,449,298,368,663,039,155,246,527,882,120,671,384,
029,863,051,728,923,476,796,383,730,073,887,729,401,338,647,476,783,019,254,
212,447,620,531,040,752,578,652,289,899,766,604,107,908,069,567,075,879,128,
849,989,469,140,489,193,875,252,824,150,324,678,345,701,323,836,452,627,786,
384,038,435,955,878,368,414,366,712,462,571,903,286,701,853,384,190,847,433,
016,251,879,806,601,365,306,699,793,872,435,364,637,487,854,295,826,047,422,
554,370,190,357,157,750,366,416,278,274,834,651,585,579,132,874,496,309,031,
409,063,978,076,150,099,574,395,731,183,386,248,755,686,197,659,233,665,097,
157,136,486,241,426,593,388,622,673,925,333,445,117,803,556,793,394,249,582,
009,488,666,912,517,061,752,332,809,165,293,970,999,489,698,631,183,911,060,
853,735,796,154,655,242,618,360,590,331,246,108,851,009,473,345,380,458,419,
865,859,366,785,496,589,298,918,008,330,781,127,161,727,068,508,059,936,938,
141,152,198,866,286,945,672,373,924,709,743,160,733,304,936,334,620,055,357,
804,620,190,287,959,793,488,695,343,559,469,539,751,542,483,482,272,972,679,
372,369,089,491,132,971,668,069,691,330,014,846,828,355,825,627,100,932,808,
590,691,517,847,717,141,914,268,685,283,489,094,182,024,809,104,130,444,647,
468,363,482,493,863,212,936,291,994,561,281,110,342,125,345,949,779,330,912,
609,292,346,457,537,084,769,702,244,266,564,879,742,982,599,020,631,754,784,
562,749,056,349,148,858,145,159,129,395,909,470,876,271,284,263,203,753,148,
032,492,361,023,761,244,357,780,909,381,181,987,585,936,575,558,924,817,828,
429,274,745,975,955,880,048,906,946,316,455,179,569,010,086,603,843,130,083,
783,102,176,921,742,524,006,913,738,783,993,754,690,453,003,110,514,676,076,
638,881,084,448,526,456,400,208,605,091,550,542,542,742,014,864,829,799,559,
613,142,437,415,638,251,407,688,091,697,685,246,712,048,957,282,432,302,246,
375,849,739,772,712,792,920,392,789,533,338,493,963,211,843,730,433,256,754,
045,025,433,953,554,544,105,676,193,052,189,112,998,547,243,157,585,554,497,
840,216,352,630,002,365,598,493,570,808,306,650,412,172,652,334,711,084,374,
580,402,150,971,063,746,558,452,091,274,242,022,173,275,153,067,899,531,838,
442,009,630,745,987,082,807,891,064,602,056,310,663,707,432,747,762,925,906,
899,059,029,544,197,081,470,876,027,653,874,440,113,025,578,108,066,450,531,
946,528,415,443,628,676,121,413,907,684,529,279,454,377,884,595,550,103,393,
713,524,479,148,164,629,676,958,272,374,721,488,153,257,733,666,019,439,062,
714,012,841,234,003,647,692,747,720,204,699,622,199,081,905,856,304,206,590,
562,031,421,297,994,699,273,147,320,478,541,228,111,572,480,534,308,679,017,
145,728,321,747,087,969,038,869,426,464,202,416,359,078,163,353,147,820,375,
651,436,672,364,774,094,089,170,650,132,323,516,308,165,831,741,846,428,324,
291,686,060,721,684,128,764,107,345,290,679,499,540,132,282,745,291,663,592,
105,949,685,203,591,064,539,593,462,363,309,873,366,021,809,618,317,094,514,
634,998,213,234,966,028,895,719,309,225,474,294,087,533,381,343,668,060,120,
591,796,852,457,184,099,129,938,556,767,885,956,075,247,432,652,047,770,624,
833,324,135,063,513,684,882,726,906,589,603,924,331,378,612,495,519,447,018,
895,554,447,905,201,367,374,737,219,101,947,419,477,667,388,463,908,371,976,
547,744,083,219,278,629,439,464,248,275,642,029,048,689,842,535,363,226,803,
625,215,899,427,718,327,087,872,558,626,724,708,884,920,132,402,258,191,973,
834,179,842,204,395,217,218,925,872,044,375,587,981,406,100,032,367,265,501,
161,431,858,770,845,122,314,765,137,479,166,698,102,669,257,039,117,964,414,
489,780,203,536,060,632,631,280,374,476,044,736,012,084,420,551,445,735,791,
496,158,293,059,751,691,177,474,177,586,982,660,002,729,909,847,063,591,783,
051,510,618,378,005,967,555,179,575,559,383,938,414,095,585,642,055,314,239,
824,840,138,903,692,177,915,758,605,070,730,050,900,963,931,725,381,753,942,
406,909,583,409,264,469,020,166,910,094,297,086,926,775,907,325,384,734,463,
752,205,293,670,377,655,978,279,412,088,686,591,840,392,928,505,462,204,008,
453,326,301,452,112,812,977,783,944,231,848,950,916,845,610,524,985,421,603,
587,061,644,457,147,459,230,158,645,812,975,842,184,798,183,568,405,285,928,
116,585,181,940,283,178,303,978,956,644,026,164,444,528,245,542,289,626,315,
935,190,448,877,911,073,089,845,695,913,450,292,407,396,287,666,213,175,214,
548,995,224,421,017,192,128,425,219,799,602,143,930,824,858,050,290,274,387,
882,418,986,549,597,911,784,557,374,695,077,890,180,799,496,504,472,651,068,
116,026,599,765,328,428,547,390,524,928,307,512,674,312,526,681,150,758,025,
960,449,925,189,036,951,954,795,795,562,225,647,547,964,890,784,852,099,481,
935,457,983,020,245,655,420,223,606,182,315,065,219,288,760,411,757,163,226,
481,150,331,128,100,964,385,126,965,351,132,536,347,168,170,013,847,366,738,
915,205,322,370,319,654,453,175,570,153,302,388,215,535,446,207,586,073,246,
904,161,780,831,759,398,427,337,447,514,986,091,059,920,179,452,922,640,507,
545,050,435,080,829,509,377,809,679,185,143,208,345,018,656,914,821,424,840,
770,750,420,186,928,684,754,627,464,209,315,723,937,562,784,466,200,009,821,
436,895,588,413,570,341,062,864,006,074,725,835,287,127,064,136,875,626,724,
480,776,625,662,463,913,217,745,108,037,268,390,565,932,386,262,511,278,435,
854,569,658,982,419,590,907,872,263,276,430,480,240,938,842,730,544,740,159,
148,149,967,484,838,228,412,021,262,384,279,716,580,299,442,194,594,975,976,
690,023,879,437,526,436,100,221,437,759,357,404,080,699,921,845,056,219,821,
639,997,977,989,232,832,750,044,601,297,395,210,314,442,674,090,469,401,686,
782,649,004,198,199,820,782,608,755,691,968,764,161,241,067,703,350,387,755,
774,003,712,863,278,514,720,361,060,346,225,543,042,984,986,445,903,815,051,
018,465,766,901,359,275,877,745,654,687,888,468,284,053,316,363,282,527,156,
680,380,581,481,548,478,688,642,063,034,582,227,030,012,179,547,261,084,732,
833,431,745,034,995,935,483,184,845,954,519,679,461,640,828,271,607,394,258,
798,545,133,943,055,069,960,892,050,977,798,891,470,463,174,725,232,256,760,
827,945,356,212,029,632,929,669,349,060,124,950,143,398,722,970,941,569,044,
772,107,610,206,891,630,637,013,562,962,266,157,192,701,174,621,716,808,563,
760,426,178,665,760,979,649,881,142,208,622,128,174,988,866,661,311,598,544,
080,147,725,678,178,292,986,129,206,188,065,273,908,004,021,149,516,293,103,
039,943,161,707,887,255,417,906,125,959,343,089,800,088,474,912,605,929,895,
081,385,392,650,346,173,133,777,840,313,393,647,749,562,660,460,166,412,836,
471,492,894,196,015,570,171,784,643,466,414,269,805,740,614,095,848,036,040,
543,766,816,063,972,143,210,989,958,191,108,704,325,619,403,933,901,479,887,
988,887,050,022,261,905,467,469,770,281,960,342,666,810,263,869,705,612,065,
690,612,039,840,680,698,834,879,683,881,022,022,464,971,589,043,320,585,339,
991,644,943,993,643,291,909,888,917,801,691,152,206,293,189,170,737,834,969,
096,793,808,307,903,446,778,352,941,203,783,115,507,442,854,313,818,514,856,
623,196,303,409,776,914,643,459,245,438,072,370,357,077,803,431,579,130,952,
731,492,807,955,424,275,107,259,957,771,415,105,125,326,743,112,509,194,015,
270,398,744,063,167,453,867,143,501,990,449,215,587,978,632,512,543,591,967,
995,978,175,088,081,146,675,019,123,882,781,445,151,655,285,010,988,448,699,
533,282,009,340,866,219,045,559,500,057,225,124,020,947,698,161,934,501,698,
647,321,648,883,709,042,096,594,163,166,003,214,785,456,744,425,435,541,194,
081,799,599,059,627,891,857,777,179,252,692,317,182,654,859,032,155,207,329,
415,078,524,430,712,261,345,635,496,976,056,616,700,695,870,330,130,085,128,
717,927,810,262,476,254,500,728,607,406,336,334,335,264,613,469,568,634,185,
266,002,165,917,156,152,242,021,889,506,571,568,318,628,922,338,427,107,130,
966,130,493,612,463,179,727,362,407,430,218,176,739,999,019,007,237,143,657,
456,940,045,124,827,505,288,105,175,131,267,290,946,254,006,915,703,470,527,
877,397,118,527,107,236,977,055,501,122,353,053,814,947,512,252,575,133,541,
362,962,247,945,264,834,216,374,752,644,510,902,102,146,789,702,662,621,823,
374,216,317,248,845,286,090,432,103,367,812,563,091,345,495,781,882,794,554,
115,690,692,973,372,291,659,422,336,646,913,151,094,433,049,593,237,280,587,
189,802,986,083,510,833,314,756,596,558,358,949,881,807,741,591,389,652,858,
514,173,480,327,528,614,165,398,376,147,206,151,912,175,174,431,006,162,908,
863,421,869,401,920,609,447,427,998,988,230,052,314,410,310,251,550,537,906,
002,271,883,215,897,777,861,072,260,470,512,483,096,059,571,093,256,403,866,
221,866,111,318,504,644,192,121,743,889,772,033,349,040,581,738,070,655,536,
875,011,590,224,557,049,403,023,119,032,279,675,331,124,744,377,936,536,382,
323,819,890,554,991,849,907,155,274,403,648,934,180,154,306,431,461,794,546,
460,210,331,751,834,319,596,340,115,597,668,153,866,563,392,108,812,217,527,
102,712,191,342,198,861,431,304,138,937,916,830,593,673,726,684,944,456,071,
156,343,153,086,942,558,796,540,325,965,983,170,674,010,800,517,117,374,794,
611,575,335,963,748,331,172,491,481,769,385,609,827,582,507,282,842,400,271,
278,798,138,624,164,161,409,104,613,138,033,695,729,277,228,086,014,888,400,
916,755,425,737,440,915,241,593,111,815,211,982,020,430,279,969,045,228,005,
711,557,137,111,100,057,325,361,295,443,303,074,145,544,980,483,647,905,993,
257,268,848,131,754,862,073,611,401,989,403,934,329,565,467,713,872,042,132,
436,600,662,245,150,923,678,649,103,906,343,835,449,386,102,906,035,704,578,
293,445,481,629,066,659,408,625,900,031,254,931,776,827,931,825,376,707,450,
079,341,101,644,346,746,460,965,086,001,683,571,110,743,230,061,586,291,810,
319,866,646,471,940,068,146,551,902,510,979,100,096,154,725,263,359,974,302,
846,773,387,399,004,823,815,369,196,833,930,177,681,569,030,989,568,405,387,
029,096,540,624,542,214,774,841,538,991,493,748,638,585,147,428,496,883,746,
505,387,793,713,325,010,612,841,334,712,784,827,701,403,526,650,954,049,954,
480,852,889,370,537,909,913,392,752,374,135,587,745,739,680,022,236,774,888,
729,472,592,358,951,123,674,893,568,132,764,235,742,148,786,258,008,748,226,
713,576,162,581,195,660,010,879,206,870,661,156,402,770,171,431,211,849,068,
483,226,413,195,007,583,257,187,662,630,775,191,596,315,445,299,843,882,262,
742,611,523,251,128,848,878,841,483,729,324,777,570,721,985,852,536,082,748,
597,179,290,227,611,958,975,194,675,191,517,296,688,464,238,766,940,270,491,
850,874,167,202,478,213,286,184,345,992,816,006,132,563,986,519,681,794,277,
972,600,669,514,676,174,414,459,212,356,053,915,763,007,834,807,558,667,155,
197,999,127,769,866,802,055,622,706,761,122,776,381,506,532,320,426,034,994,
639,320,595,342,971,193,670,396,760,864,048,849,445,593,029,408,235,587,201,
404,505,329,820,095,078,354,406,106,234,048,602,376,614,183,473,555,394,604,
737,693,304,654,539,071,427,882,878,368,682,270,173,793,795,582,729,352,897,
454,649,197,665,027,385,343,122,239,348,601,746,842,293,979,499,682,748,856,
781,316,637,504,520,148,319,002,238,698,501,317,085,002,497,079,415,032,679,
550,528,667,331,541,864,011,697,672,255,430,723,719,357,399,047,657,769,383,
957,088,353,337,584,455,614,949,421,598,848,604,133,773,726,105,965,595,637,
212,637,068,548,708,515,008,822,766,560,698,516,728,741,669,436,457,355,407,
286,198,914,073,712,164,530,926,934,897,667,889,973,720,485,469,041,770,929,
557,141,978,363,603,455,391,646,795,540,921,920,580,535,340,725,670,222,694,
060,148,787,503,847,710,020,717,036,418,258,115,081,033,470,229,000,398,708,
813,037,345,920,579,503,749,693,887,162,762,160,944,111,959,146,869,024,942,
331,255,553,280,807,731,263,859,487,474,620,552,310,769,767,136,985,428,419,
841,757,367,057,438,387,711,182,887,254,416,250,392,792,593,366,297,722,536,
220,828,385,007,461,541,083,717,118,686,144,257,144,656,928,667,473,151,967,
722,321,071,695,643,555,493,563,444,316,715,146,583,294,192,944,706,947,971,
704,908,345,005,020,974,735,464,859,807,908,958,981,685,599,361,858,855,265,
548,170,669,661,351,656,774,548,203,526,707,619,679,014,191,650,224,309,951,
802,974,941,550,613,018,794,482,867,112,499,955,685,060,562,930,993,050,400,
699,464,699,742,415,604,698,302,505,664,814,877,512,787,517,532,134,713,542,
446,531,632,686,124,901,923,629,707,645,637,587,351,340,048,307,545,375,081,
670,869,409,145,495,828,998,246,202,547,162,670,209,394,383,412,001,285,198,
785,127,128,587,870,580,201,923,148,622,594,855,027,612,859,908,201,475,943,
406,716,060,810,772,225,001,376,193,142,779,930,165,688,383,853,391,538,196,
576,054,971,564,727,410,033,843,198,100,579,716,793,579,290,690,646,516,684,
660,312,816,899,272,614,640,387,308,736,359,102,261,597,292,538,486,264,647,
985,628,069,079,915,244,151,963,932,298,105,998,396,824,608,776,368,622,828,
726,488,719,647,128,712,334,160,203,779,166,749,023,952,024,199,270,823,783,
144,896,212,116,763,020,573,029,476,740,259,320,536,818,482,677,068,036,483,
779,950,185,299,640,598,169,657,766,821,277,722,775,657,920,244,934,140,481,
001,678,696,732,459,252,542,617,821,828,121,988,342,162,440,370,208,607,059,
950,136,561,935,586,394,552,300,691,141,295,532,333,649,788,102,255,647,035,
745,921,083,870,622,599,343,593,340,007,836,687,300,915,834,336,370,001,971,
263,266,639,119,882,589,059,280,781,583,539,999,647,305,545,348,192,010,826,
820,665,759,127,588,831,810,613,098,554,018,690,840,149,906,061,031,770,847,
688,213,305,216,941,821,157,315,872,941,998,719,848,903,362,531,027,486,672,
763,693,768,253,253,993,282,727,996,450,121,737,300,404,013,206,638,391,935,
258,610,845,241,246,310,787,034,433,855,662,511,251,097,135,131,649,916,446,
121,699,615,352,789,278,955,467,777,292,766,856,050,870,217,315,684,918,228,
270,285,548,726,167,626,115,491,736,087,943,949,668,097,631,551,952,969,045,
040,811,432,760,891,272,392,777,806,011,764,353,981,841,617,549,765,671,674,
311,179,545,551,064,832,041,415,777,913,305,625,767,582,337,263,607,326,202,
721,094,483,224,963,384,432,258,883,769,373,916,985,882,185,118,681,509,876,
162,175,002,636,645,446,144,473,065,418,795,111,713,730,517,231,465,514,104,
268,111,706,815,774,930,124,945,725,693,018,354,134,616,595,905,477,717,859,
143,181,688,369,913,631,977,847,365,720,072,293,708,292,620,307,653,208,923,
898,522,197,355,406,963,954,922,707,306,987,682,759,058,608,610,171,077,455,
691,656,616,699,662,677,296,925,500,587,729,259,702,762,529,968,082,494,347,
837,238,480,372,078,504,016,561,179,458,539,481,395,124,783,622,782,024,598,
549,952,767,930,016,191,629,456,433,694,468,891,377,427,088,103,241,371,077,
899,814,189,435,393,140,151,960,170,251,166,128,321,566,915,785,260,467,501,
682,465,623,022,521,526,119,864,510,157,145,904,768,466,748,793,360,847,623,
358,220,931,495,649,427,254,701,664,749,208,970,629,759,848,083,985,389,601,
613,482,004,683,142,457,554,679,291,360,669,631,897,329,604,594,536,364,604,
500,145,247,096,894,419,403,004,914,179,158,644,532,444,015,057,878,747,246,
334,645,934,985,534,938,937,849,490,203,986,945,111,096,109,470,819,378,465,
874,937,473,883,678,479,034,753,185,709,076,400,804,318,986,900,018,781,385,
748,540,759,343,962,768,409,669,826,447,497,090,006,576,219,130,238,531,568,
448,181,341,256,770,791,882,106,782,555,609,727,555,602,056,547,251,549,294,
051,566,563,585,437,496,465,529,932,790,810,715,953,186,153,176,741,218,752,
932,391,270,269,311,483,807,884,082,213,995,967,419,374,019,131,072,097,176,
799,447,311,668,842,511,252,578,118,621,120,784,884,283,569,926,404,508,043,
112,402,321,163,870,556,398,935,511,566,740,589,724,359,092,459,391,051,799,
359,384,356,186,477,941,584,927,060,232,694,355,743,465,890,579,587,770,293,
588,449,482,938,731,967,789,377,946,930,667,648,064,308,445,252,615,917,501,
924,156,967,107,274,946,825,726,804,398,098,516,601,269,681,397,499,512,278,
892,343,780,746,848,338,593,251,193,349,614,231,439,372,217,336,043,932,117,
545,283,351,837,184,693,721,003,152,397,597,707,728,216,045,886,018,017,322,
741,722,294,035,066,744,017,929,717,813,849,182,795,721,506,462,265,465,714,
768,960,734,499,616,341,978,454,692,991,105,243,297,718,608,539,460,445,477,
050,787,422,210,428,019,010,168,965,315,398,493,483,467,085,193,815,250,484,
875,986,594,814,476,966,167,088,107,005,168,793,334,338,214,549,609,537,806,
183,708,242,327,915,211,729,102,870,211,263,207,566,204,252,990,625,109,725,
844,611,543,408,935,345,385,426,953,324,112,839,141,245,127,691,020,214,673,
954,401,161,012,936,614,484,494,151,693,207,602,685,648,855,561,286,203,299,
750,483,105,068,038,560,333,769,702,932,134,628,318,216,565,921,112,305,970,
540,488,084,804,429,469,324,945,184,368,892,088,995,361,643,468,167,336,611,
706,006,152,825,936,166,057,056,178,784,714,699,900,253,358,648,358,067,061,
455,400,617,539,570,776,553,265,350,669,878,741,545,233,057,409,407,544,784,
539,105,118,418,340,935,751,644,019,164,652,254,102,058,373,517,524,540,210,
844,073,976,452,254,668,999,392,124,297,001,851,816,949,419,719,174,394,063,
788,347,321,751,092,014,254,678,996,475,028,988,810,337,414,028,469,512,504,
202,825,006,046,520,273,273,105,342,795,802,521,131,636,370,464,486,618,570,
219,145,350,292,372,159,406,177,046,435,845,329,522,124,415,481,439,011,453,
598,558,684,151,031,225,490,628,415,111,039,050,562,766,675,732,419,930,096,
505,569,062,901,616,080,734,489,382,228,859,935,476,897,591,567,856,545,975,
310,048,501,331,458,186,171,393,380,719,080,213,931,167,598,010,590,103,160,
602,795,197,161,451,729,817,888,188,811,714,986,757,713,713,959,295,533,221,
330,124,616,363,112,510,062,379,109,302,090,783,088,948,512,563,172,542,082,
123,583,964,205,021,377,832,540,359,539,587,112,184,065,472,117,426,741,377,
058,154,006,788,666,349,054,676,904,070,147,098,916,713,678,779,948,728,655,
889,344,329,605,558,362,269,331,131,351,816,508,286,740,592,923,604,977,605,
485,895,145,709,343,813,416,454,356,837,819,766,634,601,063,350,761,653,264,
697,630,988,728,062,221,615,018,855,263,614,955,281,804,357,567,865,268,574,
109,836,665,796,259,546,002,141,918,049,193,533,678,534,950,264,657,566,040,
280,572,368,194,025,480,660,928,140,897,299,133,830,705,799,736,510,301,623,
411,491,637,849,972,960,015,488,467,692,772,128,366,698,504,832,815,646,380,
725,895,700,192,749,702,687,213,410,616,009,270,761,368,678,590,026,604,219,
856,897,726,076,993,726,200,009,628,511,720,818,572,808,007,419,641,967,856,
222,650,519,716,146,970,062,756,761,585,918,381,279,185,411,872,410,652,301,
810,730,430,483,639,494,420,741,581,484,751,301,786,819,456,926,438,003,827,
815,486,114,423,662,411,850,175,398,914,268,482,218,526,408,427,282,813,586,
844,765,538,003,524,496,935,739,963,662,353,334,838,472,815,986,196,533,691,
461,655,080,685,350,952,675,565,455,661,509,211,814,761,242,112,176,774,013,
402,599,658,332,074,490,797,608,338,377,998,936,427,983,594,331,195,739,228,
193,528,189,011,557,145,100,113,000,158,679,328,386,137,743,039,439,975,355,
084,045,826,056,978,143,495,500,179,535,829,397,751,957,076,600,189,985,470,
341,418,738,042,847,152,118,053,341,141,125,719,953,395,358,117,430,500,266,
273,280,334,601,266,993,089,356,338,894,424,077,830,261,066,627,338,853,948,
220,935,798,830,131,458,092,184,207,074,820,847,451,079,065,267,995,753,790,
963,744,779,811,924,289,147,600,294,834,799,996,899,979,945,025,184,974,242,
947,868,744,352,996,153,205,441,311,282,901,002,706,417,007,658,837,214,951,
567,802,688,436,718,350,355,763,124,689,747,155,060,034,433,743,341,637,188,
697,293,712,509,185,975,095,279,599,300,315,969,020,716,710,675,655,613,502,
632,691,867,185,266,935,365,025,251,518,920,156,420,267,763,452,935,738,406,
934,638,892,339,095,575,348,135,084,425,740,432,625,596,781,449,070,766,223,
110,390,298,407,453,028,729,492,004,413,138,423,217,006,497,711,537,394,799,
796,032,863,186,161,697,942,573,992,214,980,330,945,149,711,417,845,575,141,
700,013,746,829,557,378,494,032,528,743,764,242,565,029,803,504,869,804,353,
349,929,704,873,700,783,262,084,215,133,953,886,268,724,699,079,579,955,158,
222,663,012,032,001,072,266,026,150,886,864,182,224,705,554,356,348,054,949,
478,475,708,343,275,944,661,594,329,343,429,854,343,774,896,149,921,197,167,
589,789,173,578,549,009,979,201,641,013,383,654,349,516,712,908,138,844,366,
228,786,424,129,454,537,117,726,608,035,474,939,631,123,439,749,877,354,875,
097,763,574,642,425,034,962,978,081,821,909,024,306,164,623,712,671,461,994,
647,932,501,619,233,869,031,473,115,051,078,940,608,656,092,356,659,638,688,
018,686,656,854,599,378,934,614,689,989,767,204,252,340,035,642,292,173,331,
818,841,772,199,347,583,957,987,952,174,163,476,111,515,068,683,033,365,243,
760,607,502,606,421,222,091,428,404,617,493,503,729,906,904,190,955,620,705,
342,406,616,606,092,918,186,409,808,206,523,831,156,072,588,851,098,974,512,
589,514,497,065,694,688,261,024,651,404,754,943,071,159,059,783,036,568,826,
692,801,187,657,646,577,353,675,179,108,013,223,321,766,289,757,597,143,462,
513,292,742,415,749,800,413,954,497,362,190,480,274,638,083,979,721,797,293,
883,536,309,528,127,931,773,263,566,437,198,638,043,076,523,762,837,942,496,
728,998,705,664,244,752,780,914,789,402,667,070,878,046,888,142,331,979,784,
948,257,863,573,482,231,273,281,392,038,646,415,016,258,206,774,010,365,697,
233,929,717,826,794,885,506,567,485,040,368,825,219,644,469,070,986,361,922,
798,471,294,470,917,664,816,855,773,007,042,477,629,942,498,156,066,534,462,
044,322,700,653,086,584,182,726,732,852,477,036,445,989,857,164,071,065,728,
058,255,312,040,614,024,871,388,823,647,479,550,211,153,993,144,746,321,537,
538,714,320,820,488,490,504,059,190,767,629,184,131,620,825,652,655,566,904,
849,819,656,167,621,668,769,975,920,839,411,046,869,491,320,569,604,083,782,
392,660,257,139,502,769,541,865,678,584,457,868,214,865,061,243,220,833,125,
586,066,568,075,875,761,345,051,090,213,303,085,906,079,462,589,793,098,831,
034,955,831,768,387,766,850,737,987,483,529,314,302,954,869,208,143,117,545,
541,745,159,984,656,201,052,177,621,447,388,018,589,019,373,847,898,245,271,
372,124,234,674,984,747,793,178,137,752,255,504,409,645,628,847,867,274,375,
984,275,014,614,402,101,054,928,147,639,858,793,771,166,789,811,682,770,260,
607,420,258,371,308,739,365,032,599,763,946,164,040,883,097,763,838,409,176,
369,841,803,037,585,216,345,253,320,533,987,507,796,373,765,425,729,513,602,
454,014,243,151,307,357,958,064,862,997,075,305,957,792,024,360,179,354,542,
556,803,665,379,920,075,921,639,582,650,721,148,492,042,395,038,460,733,613,
000,710,040,236,530,274,489,916,235,619,237,481,073,734,757,314,167,713,987,
680,730,608,086,318,995,391,530,842,940,053,188,300,047,011,868,103,820,111,
677,990,975,300,289,577,475,435,903,142,945,362,426,693,013,056,784,304,639,
984,425,080,233,219,078,612,345,988,418,679,505,255,712,917,653,581,530,750,
692,797,087,684,355,184,120,682,287,195,976,586,294,248,540,450,159,952,597,
868,936,372,736,037,459,982,623,511,547,056,020,049,340,858,140,864,078,583,
124,112,441,296,445,296,380,912,059,268,540,108,754,928,489,072,213,027,093,
860,365,223,364,429,752,122,720,715,879,273,681,708,313,091,722,223,341,887,
552,086,443,311,986,452,677,783,567,317,947,102,074,702,516,201,342,409,230,
079,672,527,864,217,385,012,388,327,198,997,159,208,461,118,195,305,967,064,
018,354,178,190,642,204,061,611,331,754,004,582,786,764,619,001,875,969,627,
907,310,010,874,806,578,687,576,772,272,384,248,174,630,357,846,136,077,360,
336,762,771,468,108,079,660,938,340,243,924,673,293,587,110,093,142,993,333,
416,863,285,315,442,108,817,076,879,534,068,588,948,341,575,274,175,697,432,
707,448,589,433,523,689,638,902,732,880,871,927,233,308,934,536,580,046,772,
673,299,014,581,120,924,102,885,950,966,778,022,009,485,014,996,433,470,463,
459,290,887,316,086,052,962,454,159,341,146,209,872,999,891,102,661,218,913,
542,911,505,647,532,963,164,030,500,316,170,661,488,984,764,070,567,499,480,
052,371,046,111,326,922,284,725,635,688,216,395,954,236,378,099,640,894,093,
582,167,913,563,845,317,750,875,908,876,388,786,248,938,088,423,039,277,717,
315,358,159,377,962,305,050,622,383,768,865,480,548,518,223,014,884,814,605,
030,648,542,872,719,884,072,465,550,012,311,424,932,904,615,716,730,372,721,
939,652,237,873,088,461,580,175,265,946,988,047,622,462,415,516,627,288,313,
017,652,252,259,536,111,171,785,251,561,706,458,418,813,469,632,201,232,790,
137,350,271,669,519,750,100,753,242,228,949,891,386,242,739,545,008,708,504,
129,248,216,660,383,324,639,470,639,546,739,511,601,835,334,134,072,184,640,
020,189,567,626,871,522,122,191,898,827,277,719,626,709,767,420,372,258,902,
982,380,984,006,055,154,855,552,530,130,520,177,226,361,611,367,058,281,218,
106,010,809,767,555,761,385,939,887,275,089,856,421,442,978,273,750,976,019,
618,219,614,187,104,594,126,347,294,689,107,707,082,728,021,505,860,042,404,
235,876,328,776,770,721,772,169,963,815,768,508,337,538,739,542,694,302,166,
699,068,260,466,458,728,503,289,585,903,920,283,918,450,657,063,033,398,434,
689,092,973,594,709,570,159,571,185,195,134,421,729,419,623,617,249,087,880,
300,283,857,879,618,473,973,422,593,239,023,870,052,397,314,181,341,428,880,
962,435,341,203,546,106,014,110,644,755,503,025,510,446,002,031,813,186,097,
124,681,609,039,206,067,663,309,714,013,623,838,228,344,656,514,902,727,579,
825,058,004,833,424,384,534,026,855,524,296,905,718,799,842,624,800,669,525,
756,198,256,747,707,192,257,257,988,574,439,486,240,074,153,651,919,093,999,
003,208,742,352,881,267,524,331,224,963,772,649,097,095,561,331,257,150,518,
530,002,899,831,678,052,804,860,814,587,452,916,066,565,807,829,637,556,846,
005,454,088,095,858,424,544,678,900,464,381,750,257,438,256,619,140,309,321,
612,625,921,931,135,344,404,455,238,455,588,761,288,467,174,964,331,660,943,
227,206,612,349,679,178,839,429,616,364,951,183,121,638,995,244,276,290,999,
337,736,749,797,180,559,805,060,325,114,517,349,161,924,015,469,385,033,467,
703,710,759,113,538,093,980,922,097,765,936,112,763,318,815,736,752,848,064,
848,720,421,413,774,903,107,683,477,438,858,433,682,994,619,569,359,515,203,
016,199,558,942,051,366,593,977,024,754,110,830,655,612,849,934,652,668,792,
513,550,272,269,643,168,281,286,686,091,937,241,931,043,092,312,823,524,416,
644,566,532,159,574,240,794,154,776,025,768,655,160,810,121,509,017,322,603,
532,070,408,504,448,581,970,187,609,567,347,907,785,374,754,799,182,685,006,
471,443,880,269,882,946,342,793,107,810,787,229,181,879,155,513,673,860,408,
788,310,928,331,704,124,468,833,502,830,553,649,593,860,289,304,930,049,488,
290,748,355,598,821,218,315,692,390,106,118,139,382,484,277,271,023,220,016,
439,085,336,905,611,539,130,435,772,773,287,295,362,059,342,284,975,595,640,
510,036,725,708,773,140,538,985,261,267,582,100,523,525,640,031,810,709,933,
455,558,931,818,087,500,479,504,665,077,816,334,874,039,664,272,397,830,534,
395,238,578,569,625,115,932,255,933,065,009,879,737,018,557,058,457,779,002,
611,457,027,553,550,249,202,636,882,428,788,180,979,430,188,135,127,065,287,
675,258,608,147,041,229,028,260,861,557,396,553,821,533,853,965,679,064,286,
026,109,799,585,329,925,901,294,212,470,517,891,942,134,282,215,299,409,786,
473,654,209,465,752,076,975,618,431,513,038,296,763,669,952,935,978,609,469,
587,152,291,157,170,984,859,016,550,244,157,540,843,417,754,324,191,051,320,
459,530,411,095,402,503,733,495,160,392,339,895,913,740,636,650,631,184,530,
163,375,331,472,901,169,790,717,202,483,555,201,873,925,952,838,545,980,025,
869,999,849,768,155,072,337,548,572,228,652,056,605,420,376,004,916,675,896,
865,223,278,480,094,454,218,203,020,525,133,009,744,392,024,550,934,991,528,
744,041,328,591,085,445,082,056,445,640,177,290,239,976,761,216,048,797,731,
762,022,805,327,898,583,189,798,182,853,725,024,795,643,238,665,455,728,029,
531,674,802,530,674,562,999,887,163,004,912,051,137,338,128,590,190,727,635,
706,059,957,283,559,636,782,738,186,893,530,583,196,592,075,465,744,733,690,
445,937,018,136,602,278,232,018,529,757,891,067,053,823,293,096,947,231,903,
123,560,565,365,008,739,945,720,776,248,888,783,886,421,878,565,258,836,321,
189,463,192,697,816,733,462,492,076,248,247,140,221,940,719,079,152,948,301,
897,214,336,573,184,524,263,828,747,008,666,252,357,467,966,992,654,257,999,
573,234,968,720,885,331,077,821,649,343,280,727,908,743,695,647,911,794,589,
098,598,816,187,634,293,123,700,081,427,930,839,776,319,128,264,493,518,071,
699,242,947,098,610,705,642,162,160,823,990,716,988,043,679,506,443,555,905,
477,976,457,643,001,309,842,940,569,697,936,130,688,106,887,031,890,368,672,
747,029,193,239,415,585,662,458,371,517,429,227,519,217,983,697,164,697,129,
940,798,654,271,945,670,776,812,280,846,776,894,272,068,442,360,374,153,112,
504,958,676,113,392,995,366,001,274,493,008,589,028,711,169,005,414,127,920,
305,834,624,916,601,724,621,557,861,264,922,505,446,763,025,166,068,388,031,
538,710,381,708,244,333,932,270,075,563,173,478,643,167,963,767,615,485,775,
502,375,268,224,972,904,504,420,568,343,417,529,890,718,519,739,724,772,909,
251,619,143,861,227,825,524,089,268,200,774,146,292,199,474,195,535,223,583,
679,681,917,528,720,367,878,829,090,599,884,044,799,054,125,273,448,931,724,
421,511,561,146,000,374,368,156,209,949,371,558,171,632,221,110,792,051,780,
432,383,311,259,007,081,746,828,554,941,195,138,379,031,123,904,005,245,429,
298,786,191,521,571,241,343,203,738,581,378,498,199,238,685,427,087,683,705,
851,005,296,378,696,940,299,414,705,232,303,216,769,254,768,377,756,135,672,
300,082,430,153,615,503,068,694,464,334,405,207,899,800,402,657,415,689,657,
402,439,763,408,525,088,016,260,212,695,076,517,819,299,472,716,204,203,401,
316,197,406,714,760,470,036,867,378,277,122,285,966,285,773,882,816,410,408,
857,568,556,863,510,424,942,322,315,459,756,632,913,495,795,106,245,277,149,
569,362,912,125,326,446,874,590,825,578,128,304,187,527,285,873,314,408,339,
089,387,391,054,772,480,122,011,474,667,912,590,082,203,160,192,304,647,314,
723,086,809,720,911,127,635,809,749,271,566,913,344,542,116,189,195,764,350,
009,204,125,767,925,876,749,395,593,240,585,663,983,916,724,941,110,434,289,
051,628,553,141,355,652,650,659,597,083,047,267,918,194,557,568,313,040,565,
744,882,573,470,262,892,126,177,068,841,884,664,623,118,693,415,538,376,099,
396,212,170,131,218,300,382,495,071,504,163,455,179,212,613,097,550,310,915,
216,316,885,375,315,425,953,320,889,707,484,660,225,067,641,214,028,659,755,
233,847,551,423,966,592,223,191,492,421,826,060,483,804,487,971,012,707,454,
403,416,276,672,156,082,743,936,723,023,661,698,401,925,083,225,048,567,951,
259,869,440,995,282,479,525,576,983,459,417,040,204,485,772,880,597,058,818,
244,502,753,947,453,671,792,697,875,328,323,434,984,156,549,574,291,302,290,
672,813,147,313,804,875,366,062,372,230,807,659,000,026,505,586,293,781,010,
077,630,003,819,322,930,443,648,673,225,761,220,253,682,224,865,570,024,229,
304,526,813,423,710,060,921,893,389,798,626,476,234,173,145,784,562,000,246,
091,233,152,209,776,529,665,874,138,573,179,981,125,034,592,237,855,548,410,
724,231,680,239,976,045,767,586,293,821,777,276,708,079,509,587,794,611,062,
633,525,323,891,464,119,630,965,564,610,810,463,568,637,077,746,683,979,455,
310,469,388,150,629,203,354,909,837,562,848,013,410,730,309,528,902,741,494,
835,387,991,723,319,644,680,144,555,715,838,691,492,167,165,554,329,311,105,
587,922,321,614,106,754,420,211,467,340,848,110,933,022,576,594,667,226,857,
976,374,358,878,574,635,314,244,710,794,770,282,525,060,460,866,789,670,840,
998,138,894,747,570,945,608,130,205,714,648,406,582,390,207,873,783,727,646,
225,181,442,231,983,402,129,234,476,216,231,975,916,335,898,787,659,958,850,
241,178,787,864,415,277,104,349,273,425,865,269,770,843,531,494,529,753,167,
945,671,191,326,921,467,908,521,863,678,264,475,472,573,709,417,157,243,055,
891,792,826,143,988,707,332,087,217,076,854,060,138,507,828,420,125,428,024,
524,294,387,760,713,798,112,920,390,758,830,978,936,020,769,271,353,404,610,
395,539,539,454,408,986,947,256,964,172,481,106,738,371,003,179,989,269,011,
536,719,492,559,743,489,564,398,912,646,908,578,169,119,682,417,223,077,313,
355,512,847,356,783,295,510,981,514,063,214,178,426,662,331,983,732,796,975,
399,726,826,592,633,226,053,648,967,214,497,080,223,772,799,394,771,164,370,
866,448,105,722,756,923,620,595,476,050,128,634,896,315,189,842,746,293,445,
494,788,547,936,362,705,835,635,922,434,238,939,689,986,668,433,717,590,673,
898,925,309,399,519,707,419,762,632,652,012,664,974,360,039,238,685,438,548,
090,170,303,227,556,908,496,749,698,024,884,631,096,526,501,644,900,414,132,
030,165,201,817,384,656,381,764,266,140,020,077,247,210,043,736,357,147,492,
365,561,677,448,863,184,937,464,485,976,464,835,700,274,008,092,545,868,135,
682,559,076,069,879,918,081,556,250,468,685,872,609,956,422,634,314,794,257,
857,313,412,554,984,859,024,342,489,054,036,441,294,980,860,003,000,031,140,
854,544,130,443,066,750,130,554,785,777,917,433,388,600,046,872,595,664,324,
186,926,983,933,069,550,836,542,765,779,697,829,331,887,396,360,444,301,873,
305,879,204,188,764,538,112,850,993,137,776,843,201,532,929,911,492,596,265,
168,096,882,386,816,624,280,670,573,491,332,224,935,401,998,668,187,109,991,
357,093,167,897,881,839,983,108,774,036,867,375,251,818,837,698,727,093,863,
036,182,782,908,626,380,315,688,091,033,532,920,829,519,148,771,518,459,960,
629,039,182,316,607,370,445,842,616,570,098,503,830,425,853,738,966,558,311,
628,889,939,380,822,518,156,590,350,356,094,403,029,520,839,888,008,948,741,
703,937,152,028,198,090,018,925,841,994,284,276,192,094,996,319,952,054,152,
002,504,280,037,415,558,630,786,537,279,569,134,224,234,723,892,571,000,073,
706,959,972,186,164,319,766,348,598,175,216,456,206,851,098,291,212,598,196,
200,338,560,907,210,063,277,678,918,530,766,513,230,530,434,364,419,975,918,
109,589,420,682,347,151,398,930,230,288,014,982,855,410,299,333,846,306,750,
280,677,415,753,002,210,137,276,546,645,873,381,729,579,995,158,650,795,713,
681,886,117,128,044,194,609,101,312,222,382,735,234,229,178,089,350,161,260,
867,709,886,683,802,596,806,191,633,263,459,858,589,498,630,453,747,422,444,
211,181,099,125,990,641,591,558,104,331,824,663,515,988,437,663,505,357,883,
693,143,679,690,960,046,661,118,770,449,302,744,301,003,301,269,502,578,472,
060,609,374,279,030,428,550,884,303,575,623,478,688,995,176,033,918,324,112,
659,596,788,539,605,228,628,719,311,291,329,724,249,681,142,710,855,603,663,
299,568,087,066,042,796,244,371,816,398,492,639,642,575,733,146,002,112,046,
875,440,667,680,638,701,617,147,583,738,189,955,970,940,415,723,709,295,672,
949,081,646,960,832,504,178,520,652,691,498,953,087,815,674,215,764,928,964,
010,525,373,303,742,765,523,517,564,929,385,101,535,844,492,197,135,196,638,
644,918,686,252,201,479,938,923,830,875,340,770,053,771,415,633,569,067,927,
294,661,108,793,676,318,417,612,571,954,569,842,428,322,466,716,475,382,113,
674,542,802,711,341,526,049,911,216,804,695,038,886,105,285,270,365,037,453,
309,574,838,940,139,212,715,653,911,370,914,814,988,585,716,709,343,564,853,
053,119,981,445,981,728,528,462,740,403,939,847,145,777,533,477,811,542,724,
212,361,699,902,385,999,520,480,779,320,785,488,806,194,527,816,363,589,207,
912,208,677,195,197,203,102,812,997,176,119,837,444,132,567,541,558,367,933,
051,809,924,279,806,916,538,382,175,149,456,885,821,282,961,093,206,609,842,
312,512,751,638,509,700,345,978,618,167,789,760,482,537,347,463,952,450,204,
072,072,469,443,017,189,341,004,005,536,454,854,550,126,559,915,238,898,038,
503,560,535,763,798,352,898,980,816,262,416,176,685,780,242,827,301,101,241,
672,584,477,306,506,637,624,990,382,965,412,452,873,154,434,625,309,432,080,
620,873,374,842,854,735,763,301,868,946,189,897,066,131,710,414,649,050,545,
548,656,211,217,555,462,277,409,661,218,223,946,295,321,014,872,429,040,226,
895,113,486,769,238,512,103,722,881,499,435,667,376,866,529,497,232,933,395,
273,069,701,282,259,405,582,006,465,432,933,753,591,808,421,190,981,282,545,
002,762,031,243,341,583,054,902,674,052,619,758,879,744,717,018,488,858,531,
260,842,531,934,549,544,474,466,149,545,699,423,467,565,269,501,856,455,131,
267,120,351,787,424,779,174,217,722,875,605,041,684,864,731,106,805,097,609,
123,767,538,275,465,365,156,255,140,335,581,388,528,739,894,499,713,807,543,
486,495,816,390,337,754,561,866,150,168,416,882,263,510,769,694,240,289,214,
510,603,714,737,346,183,205,829,654,687,092,201,302,906,126,320,932,516,951,
519,816,397,943,031,125,476,220,077,777,390,945,374,891,193,564,341,172,088,
572,693,516,818,788,527,946,043,712,133,005,404,308,518,145,834,470,300,009,
914,683,511,750,793,197,108,663,002,437,321,339,899,325,308,947,409,075,003,
563,776,647,800,835,394,302,082,271,113,005,595,762,161,335,630,380,566,639,
285,122,247,726,351,319,312,457,756,899,656,260,724,397,369,189,593,348,843,
503,761,251,096,376,237,885,105,046,294,100,173,078,775,845,222,078,857,076,
800,936,416,682,354,329,316,392,558,679,553,655,584,969,574,849,446,680,907,
606,105,599,025,236,511,717,794,336,134,706,881,451,312,411,371,328,323,216,
029,243,191,012,431,171,662,172,418,663,652,803,219,933,323,195,997,333,545,
401,186,317,539,578,711,424,673,449,298,793,145,066,171,874,598,510,775,346,
494,441,706,256,604,049,358,213,625,999,935,617,403,983,434,058,196,528,086,
648,418,004,443,717,640,605,771,600,445,070,165,091,207,262,761,818,770,092,
629,959,640,987,227,503,393,982,038,383,657,326,995,700,390,512,820,332,178,
439,093,654,613,919,044,156,178,478,245,711,195,505,277,807,103,467,730,559,
838,575,872,412,430,952,989,450,526,188,678,411,533,843,413,247,882,633,119,
218,337,161,119,381,994,430,706,092,751,616,785,237,674,654,720,401,125,171,
640,787,958,507,185,248,175,572,333,521,630,431,084,037,948,969,926,726,474,
150,475,043,928,773,203,449,565,206,705,214,587,540,611,766,938,487,413,076,
319,204,393,601,424,055,782,527,191,873,336,386,446,954,153,606,430,724,738,
944,088,977,507,770,403,325,056,243,401,530,521,171,278,004,280,495,877,402,
976,219,319,463,433,047,434,412,568,210,417,319,991,953,540,064,592,689,617,
985,246,145,347,477,534,402,074,047,617,738,258,315,187,127,427,925,907,329,
287,595,430,969,791,774,718,402,421,574,766,739,167,133,219,350,509,063,360,
318,334,129,253,268,528,265,892,959,048,739,105,695,232,761,770,156,963,535,
369,796,519,698,776,422,441,900,746,408,487,244,523,452,493,147,154,687,235,
837,199,023,711,753,412,028,109,872,704,229,975,113,983,306,313,613,613,637,
750,965,625,681,811,245,036,849,313,611,805,842,723,092,516,117,113,533,532,
268,316,893,100,992,505,157,919,677,958,547,370,245,157,346,033,753,827,341,
610,531,047,235,999,798,651,836,471,182,095,887,528,873,349,305,767,945,560,
341,007,685,960,855,931,800,036,805,915,158,424,648,591,868,357,926,945,940,
969,977,937,829,591,776,361,928,007,413,039,926,331,413,679,770,366,168,175,
449,502,952,002,957,332,686,769,843,228,839,724,241,107,190,176,171,140,114,
055,937,854,556,458,583,112,307,761,552,156,432,155,450,338,845,681,296,422,
818,739,362,378,076,204,230,922,989,348,387,131,370,979,761,976,151,545,907,
215,631,511,427,132,679,588,861,456,275,066,319,184,296,025,275,611,279,861,
709,818,708,602,278,741,393,732,900,381,656,294,175,590,313,678,898,325,790,
991,472,923,908,132,531,881,823,360,972,744,395,266,776,871,381,669,533,975,
093,790,318,251,116,749,042,888,957,921,091,570,350,423,459,547,601,516,754,
103,494,103,966,262,296,617,528,698,203,553,943,951,622,424,435,666,172,353,
958,532,533,431,938,147,858,322,174,418,993,989,679,540,189,358,413,683,408,
758,640,054,453,057,680,670,352,500,858,344,697,695,947,109,791,608,003,314,
281,089,685,079,559,776,492,119,418,573,742,486,875,164,322,212,864,000,104,
592,975,150,333,308,275,355,958,262,392,249,430,188,157,600,423,679,525,547,
955,374,981,957,861,662,376,125,993,524,559,009,471,881,686,832,608,618,974,
872,699,000,990,093,251,132,821,519,744,209,993,131,669,481,601,412,633,437,
023,056,295,978,012,539,600,212,727,733,454,739,258,456,424,133,500,470,262,
108,938,111,948,619,126,448,052,752,624,625,167,893,819,917,198,914,178,866,
780,650,276,320,447,444,535,025,287,374,646,984,509,307,426,171,607,417,711,
920,460,871,220,262,567,065,958,772,052,341,364,450,480,680,248,813,624,627,
693,879,920,406,952,228,015,023,102,896,092,809,116,060,651,767,479,859,066,
318,644,330,255,514,349,339,482,300,035,892,935,014,736,890,260,814,863,585,
165,067,801,417,576,572,329,636,225,399,624,778,178,228,656,947,149,612,993,
414,510,057,709,016,447,116,736,407,714,868,142,467,133,848,072,109,042,991,
120,697,894,773,389,236,495,019,215,047,708,431,611,956,305,385,751,254,662,
472,298,738,926,488,730,727,558,359,565,459,044,272,480,980,637,147,036,172,
483,666,026,250,158,122,450,601,490,620,035,749,452,977,320,152,441,023,387,
273,687,798,985,891,704,882,171,113,792,959,440,190,774,169,584,740,063,429,
460,006,648,388,211,871,202,165,544,015,678,880,363,014,924,525,341,252,432,
573,486,807,622,294,002,047,834,206,906,227,864,378,945,594,889,713,253,160,
008,917,524,293,606,361,774,861,371,179,186,215,897,659,850,507,409,039,647,
133,156,827,694,604,650,299,073,809,794,283,590,928,711,533,838,009,603,914,
455,396,483,706,956,778,636,273,628,286,454,292,921,774,261,517,293,875,540,
245,117,173,664,505,604,421,471,432,332,676,101,052,955,832,488,108,404,298,
631,236,225,153,384,494,721,584,049,429,570,799,165,546,892,751,528,519,332,
079,907,886,695,017,556,154,670,040,599,473,342,018,289,786,146,901,860,366,
689,754,475,997,373,819,766,310,413,022,966,789,536,587,096,165,391,531,178,
037,991,267,257,871,940,035,996,516,419,154,860,967,792,666,891,837,012,016,
407,628,324,822,101,270,703,520,193,469,397,613,686,206,336,381,483,374,810,
448,101,080,919,483,064,546,807,353,869,014,746,798,555,050,543,247,486,074,
173,314,844,271,735,263,418,934,486,443,532,267,271,588,466,984,437,482,369,
235,253,779,280,365,033,593,487,209,540,748,088,440,248,185,882,489,205,759,
197,036,534,678,009,866,367,391,717,582,757,727,496,021,288,617,224,427,793,
789,975,764,101,922,957,710,554,242,687,084,507,617,222,374,663,881,076,984,
125,360,859,082,772,847,568,082,567,015,195,974,146,724,060,073,700,442,237,
313,609,146,041,728,027,066,484,993,313,656,158,597,466,599,585,460,380,351,
859,909,360,371,066,212,047,255,274,528,509,903,863,068,320,397,024,218,305,
037,981,006,716,371,077,689,514,607,200,380,450,920,373,455,691,971,845,505,
573,837,381,199,281,319,262,695,426,167,239,816,180,796,746,403,338,338,290,
958,749,783,948,256,389,649,021,229,086,693,491,964,255,274,849,658,402,066,
652,764,913,906,798,439,023,496,203,255,859,636,612,390,637,750,140,380,604,
088,833,763,515,361,047,215,181,937,443,059,792,795,627,318,503,138,912,498,
454,821,821,405,722,562,384,602,174,556,920,988,282,035,303,625,467,088,394,
555,976,174,949,826,385,761,442,310,446,174,776,581,137,998,290,473,232,306,
319,177,035,436,858,573,968,049,611,673,814,176,166,872,093,378,015,001,163,
061,485,075,198,638,580,972,153,884,403,613,602,090,455,366,835,149,666,282,
297,880,169,745,268,011,043,495,247,292,915,752,162,997,863,068,421,006,914,
461,111,001,064,500,142,078,837,386,087,418,881,489,298,886,770,553,699,521,
506,114,249,295,126,840,265,493,122,944,004,312,431,463,899,713,875,512,574,
506,181,313,583,912,988,949,792,695,195,047,468,697,707,042,367,401,884,713,
694,306,122,062,442,683,654,374,014,839,838,681,219,450,550,492,868,368,922,
302,704,663,939,668,853,018,622,816,458,501,351,028,876,820,725,272,105,258,
289,061,760,979,410,807,677,557,408,323,065,924,756,655,557,544,287,038,793,
320,280,525,641,544,725,805,256,047,824,332,970,216,258,406,125,321,716,203,
366,249,305,042,615,187,571,195,959,296,190,949,553,493,781,829,518,006,022,
625,864,141,911,810,919,643,154,873,997,811,251,054,305,283,013,998,262,242,
228,844,351,057,247,629,014,182,804,056,500,482,769,120,909,652,202,761,376,
363,243,582,124,930,877,630,671,053,090,403,934,563,742,034,332,734,294,947,
420,216,302,009,694,250,144,282,622,590,551,539,784,441,633,042,768,497,660,
009,325,170,911,842,378,770,850,109,348,273,978,811,496,604,590,569,439,114,
483,627,250,920,883,309,454,556,664,220,516,914,047,777,670,634,474,996,638,
976,838,864,840,865,375,475,592,992,769,000,086,714,551,613,987,970,754,297,
652,619,846,252,889,536,266,949,609,686,322,663,276,705,472,357,496,425,154,
778,015,216,318,978,424,949,716,249,154,413,759,370,998,674,674,579,239,364,
221,299,284,140,524,323,538,638,912,381,338,624,477,169,482,578,803,512,729,
210,704,860,865,802,973,989,070,096,442,942,305,393,264,374,461,077,905,322,
389,426,588,278,933,756,069,284,737,288,143,949,097,221,361,236,947,787,059,
959,076,907,878,189,113,244,017,894,645,491,539,526,148,959,930,822,440,460,
029,156,303,403,105,455,357,439,362,851,805,013,179,365,140,684,032,126,287,
144,869,851,477,611,199,007,359,191,553,903,847,197,374,032,183,687,908,994,
011,830,385,282,845,109,067,892,279,532,599,457,969,366,403,706,663,748,910,
773,150,062,309,532,500,069,079,389,809,423,535,640,116,317,497,219,497,939,
356,234,103,653,201,387,870,087,601,809,576,113,055,707,394,618,815,362,283,
408,796,594,778,134,834,613,750,435,352,839,292,234,369,262,914,667,552,633,
913,890,697,133,235,099,025,388,007,335,131,483,656,965,183,969,522,007,394,
490,836,449,549,719,842,549,694,384,877,103,755,711,856,035,672,400,654,618,
013,401,868,826,308,839,498,338,235,000,850,955,510,933,768,766,024,888,083,
141,714,748,523,156,771,021,333,602,660,064,434,776,584,949,981,903,697,155,
338,297,948,851,016,336,110,240,735,920,704,185,269,514,873,263,108,415,961,
900,237,084,957,152,191,493,225,243,670,669,904,825,366,477,855,056,084,591,
095,243,751,721,056,726,794,161,024,299,623,828,523,920,484,278,184,109,325,
736,528,099,955,935,761,540,540,992,386,153,182,417,748,394,953,340,239,196,
799,194,944,132,193,379,863,365,270,129,653,887,295,816,739,899,757,035,330,
706,284,524,695,211,704,443,526,785,413,986,491,038,263,194,118,784,449,599,
941,943,013,108,119,935,756,927,090,451,035,344,203,452,601,224,349,657,187,
762,628,196,894,172,052,148,811,370,165,001,451,711,272,488,420,790,559,911,
797,037,641,930,228,780,071,308,629,775,935,171,902,481,732,828,021,082,403,
752,518,800,566,301,887,130,970,647,493,920,382,907,413,774,587,979,429,773,
565,537,698,631,157,890,154,246,682,250,735,822,143,834,186,226,868,519,551,
491,070,376,405,902,638,356,883,282,494,313,650,299,903,757,626,188,894,348,
577,967,111,789,212,569,177,870,638,550,240,890,213,960,273,458,643,140,055,
544,548,562,610,351,170,787,156,548,226,434,429,920,761,991,758,884,468,507,
406,169,343,015,442,064,398,440,319,315,599,312,979,634,193,932,766,646,316,
817,220,416,836,755,441,310,272,305,050,078,000,573,574,055,565,871,648,091,
144,768,132,853,331,865,438,664,865,188,910,067,843,905,910,521,303,946,385,
948,038,451,156,380,345,998,333,679,183,831,174,920,949,743,004,793,183,495,
000,982,971,936,506,614,733,792,188,666,734,372,117,188,268,733,197,645,052,
026,496,244,376,726,692,595,006,174,762,238,190,966,078,549,464,707,779,104,
644,690,691,219,964,420,461,177,176,881,080,640,504,575,231,852,291,325,287,
837,598,944,673,236,945,274,382,100,527,852,517,822,996,317,076,315,883,867,
173,819,343,556,357,804,171,746,940,930,463,468,660,114,905,179,853,712,702,
282,761,583,164,763,722,880,142,117,279,138,389,469,854,591,717,900,011,197,
026,750,223,957,721,354,454,447,103,081,307,859,415,677,642,718,370,581,083,
045,882,614,140,418,142,797,394,998,858,538,466,779,888,798,891,564,270,019,
203,623,804,755,078,768,084,514,212,761,332,598,589,436,320,511,373,734,285,
400,054,224,273,923,814,864,520,884,627,318,587,368,613,922,823,024,650,853,
339,543,812,301,878,458,224,364,437,388,303,009,161,340,109,686,359,811,828,
755,979,028,254,625,749,681,899,971,765,183,754,249,875,204,905,382,346,509,
348,388,210,699,186,542,425,929,926,497,582,134,765,094,081,343,074,774,058,
832,317,744,712,577,982,114,149,732,075,854,948,134,494,834,860,816,294,783,
003,944,613,668,580,166,975,240,551,743,328,869,767,583,550,540,151,493,820,
864,626,859,564,272,120,374,652,262,051,772,791,502,159,430,163,607,715,646,
490,111,320,685,958,195,301,962,126,894,200,850,858,723,551,480,225,978,141,
611,449,073,265,034,684,321,377,733,892,946,833,346,468,803,741,480,256,934,
899,088,321,904,546,212,149,272,802,728,450,033,637,356,818,430,030,259,765,
322,397,700,869,371,457,345,974,513,420,342,102,156,624,055,748,690,697,409,
987,703,698,834,220,643,988,809,946,492,291,206,948,724,759,320,578,644,666,
451,755,508,617,565,686,320,327,859,895,538,941,821,518,486,596,419,683,897,
823,039,159,344,639,587,429,424,672,113,765,688,498,365,114,980,451,070,418,
854,809,836,684,887,690,168,246,915,723,976,360,391,706,856,406,262,748,568,
310,650,723,787,942,588,012,049,056,073,482,585,538,663,458,076,262,270,715,
342,775,985,261,906,400,512,325,240,387,055,803,278,972,159,991,111,191,605,
306,019,735,833,721,137,242,168,775,643,868,154,355,053,204,145,872,232,158,
868,291,391,753,678,145,898,262,204,973,576,056,584,768,369,201,499,888,531,
363,606,874,417,466,659,156,557,261,049,977,754,390,915,536,169,257,898,528,
974,200,994,555,063,141,130,660,172,370,662,325,666,782,256,395,809,915,391,
173,406,402,018,250,332,035,571,087,012,262,711,049,102,059,646,873,960,198,
566,678,764,814,196,888,435,259,307,420,231,896,665,351,869,584,648,630,557,
040,000,455,627,778,883,072,334,332,722,220,289,315,584,289,272,074,519,439,
067,366,170,418,010,361,171,344,612,019,742,867,882,975,705,332,344,973,006,
043,631,995,453,151,841,805,281,244,924,735,276,893,248,850,104,544,750,472,
776,886,443,856,831,885,633,946,957,375,610,367,921,913,807,206,996,211,638,
823,152,056,767,108,655,956,784,508,275,615,546,097,880,841,726,576,346,743,
448,098,886,217,944,419,160,746,819,562,267,017,544,976,711,173,709,651,221,
230,135,515,061,349,342,366,786,289,676,511,254,832,258,143,360,692,186,118,
091,752,455,625,495,519,007,409,719,526,914,129,714,306,404,681,595,754,184,
635,096,430,128,271,413,225,959,208,273,238,303,977,862,353,296,472,028,421,
283,467,168,619,184,105,746,419,326,779,982,156,463,757,028,926,698,478,484,
608,042,951,444,706,347,838,076,256,128,254,606,264,443,305,955,702,969,385,
926,668,223,646,430,229,404,389,739,765,337,221,445,145,050,210,458,566,183,
436,738,958,158,830,749,000,178,659,594,053,496,693,576,844,428,016,969,418,
740,230,578,765,032,670,671,986,068,770,678,643,750,883,170,060,137,620,906,
985,372,664,241,520,610,832,145,664,347,557,337,578,469,725,455,923,883,383,
121,370,499,764,647,862,260,525,055,259,759,047,678,639,300,152,824,721,952,
976,767,042,167,607,398,547,467,211,529,279,963,979,283,726,130,595,822,514,
341,205,140,927,414,058,946,957,364,733,427,131,206,747,592,995,771,915,774,
116,698,787,222,516,698,490,444,108,045,393,888,273,509,759,473,139,627,471,
941,453,088,714,889,158,000,799,902,817,587,215,889,341,446,791,000,833,188,
289,046,122,446,617,563,578,887,617,979,058,316,363,024,707,364,233,712,904,
392,489,883,694,202,366,753,509,003,431,471,322,364,967,050,176,968,878,745,
215,548,354,120,596,957,145,456,464,017,138,116,913,839,437,243,151,000,001,
311,358,897,506,669,223,102,638,038,781,671,275,957,694,516,646,212,134,884,
649,339,865,239,193,093,192,972,804,347,971,991,517,642,651,103,949,786,498,
177,836,548,334,712,786,452,187,240,870,101,488,776,433,359,325,386,777,856,
062,005,500,684,930,077,357,761,616,175,432,489,605,881,704,155,263,112,902,
294,894,212,339,572,780,880,486,212,610,250,101,822,888,381,425,605,657,334,
540,317,591,038,400,203,772,084,205,230,165,015,142,996,246,755,715,698,703,
276,482,301,556,794,327,258,280,102,688,707,674,262,754,974,010,770,576,236,
530,796,081,567,040,613,384,947,915,744,610,438,486,113,995,309,339,064,398,
457,236,920,979,852,479,527,771,339,501,986,263,166,393,710,569,774,767,761,
475,466,272,977,679,718,788,200,728,375,446,070,152,288,110,946,232,398,885,
195,555,695,940,255,991,114,027,570,212,391,196,900,102,405,760,807,266,175,
681,107,155,631,596,661,822,025,086,275,335,263,281,504,569,095,568,168,956,
164,291,538,371,267,276,270,005,949,592,706,214,536,181,259,189,430,780,972,
936,568,339,016,449,506,565,738,862,999,539,229,264,629,786,613,633,212,944,
781,542,953,492,075,719,858,635,058,831,397,344,863,516,015,157,273,886,767,
750,909,495,939,076,226,111,251,399,635,499,275,283,882,095,273,578,899,492,
858,325,740,718,166,387,635,946,598,925,189,576,525,458,809,448,638,107,827,
003,964,121,213,996,507,356,743,503,563,537,618,460,514,954,233,128,916,480,
859,689,106,411,969,873,208,046,790,793,132,162,555,516,489,406,082,384,152,
634,463,203,569,563,158,120,447,095,793,135,290,538,063,311,533,734,413,866,
491,984,167,206,603,485,646,215,710,665,951,477,821,247,890,767,772,961,245,
728,604,822,247,686,446,852,128,412,507,047,324,823,894,173,903,243,778,884,
029,706,553,626,879,305,520,992,022,314,457,498,890,293,877,749,623,962,672,
900,401,403,838,176,643,074,266,250,557,020,171,173,944,630,561,597,762,287,
887,321,941,086,437,894,817,979,578,181,178,849,969,915,942,021,876,605,828,
439,764,314,580,143,579,467,522,298,904,651,763,190,308,302,251,421,116,498,
289,745,677,404,381,253,657,019,946,767,026,500,194,717,844,603,873,370,055,
967,294,295,699,958,831,850,268,738,215,115,051,057,557,191,886,905,932,750,
451,698,240,890,552,900,318,375,168,809,648,142,866,515,692,703,759,992,125,
965,830,448,918,081,480,159,776,411,204,516,423,997,141,471,395,705,710,820,
836,433,383,526,287,536,899,692,407,765,915,304,396,155,992,770,331,187,187,
517,547,592,304,894,884,374,203,127,006,577,040,131,582,002,702,210,620,257,
225,902,103,602,739,975,789,538,926,857,367,863,793,293,305,984,064,589,062,
803,985,591,444,662,615,812,270,806,279,873,545,228,860,712,206,451,978,801,
374,796,088,153,423,222,831,270,962,737,176,959,810,625,165,370,321,842,536,
509,065,011,711,636,846,578,027,628,503,257,173,042,329,723,294,084,297,938,
589,897,645,046,472,050,557,208,114,609,771,700,601,225,273,078,068,451,107,
313,595,333,443,909,365,655,504,740,551,055,525,925,594,140,172,392,949,329,
253,775,336,492,807,697,531,163,009,622,191,175,321,134,771,673,070,050,156,
595,435,882,294,783,055,355,737,109,646,529,474,604,030,400,322,335,599,603,
275,725,057,093,141,663,755,380,037,088,545,128,784,409,828,924,827,335,995,
407,816,297,365,805,858,120,927,649,760,006,081,695,833,648,825,312,826,149,
727,800,262,771,626,084,514,717,099,468,315,150,634,928,363,176,254,608,511,
843,960,269,793,411,442,792,535,207,476,132,524,619,561,780,658,505,782,170,
089,114,331,313,254,790,549,308,287,761,788,508,782,380,681,780,305,923,574,
795,346,823,431,885,101,720,006,333,623,988,056,189,719,613,500,517,425,621,
127,579,070,721,070,555,887,226,138,013,010,855,758,311,273,515,322,121,105,
641,729,276,273,737,703,385,262,545,885,924,237,537,446,744,435,886,621,315,
611,119,529,780,633,184,110,939,475,101,354,061,016,170,071,527,967,274,014,
360,984,327,232,027,810,577,998,292,834,206,648,183,063,284,471,782,649,464,
703,941,371,225,089,985,424,283,878,876,755,596,578,939,094,146,765,681,484,
544,399,252,660,682,200,347,087,412,689,985,419,671,514,908,664,857,754,562,
015,597,039,704,605,500,051,065,317,938,828,957,199,256,144,796,690,488,859,
765,853,827,551,497,762,010,675,255,081,184,950,035,777,599,996,259,976,706,
922,005,941,084,248,786,615,337,479,089,068,127,329,306,519,103,757,511,764,
398,230,018,202,122,236,786,825,961,847,391,257,370,751,064,333,819,727,533,
370,899,838,298,115,671,346,929,362,866,697,987,919,164,688,216,205,450,251,
657,573,016,439,915,254,247,582,860,714,327,817,594,746,266,851,264,398,270,
620,420,136,935,465,714,824,369,186,438,956,974,081,941,754,909,108,334,871,
056,191,225,758,584,139,583,682,448,850,727,081,611,124,996,019,563,055,821,
780,475,480,391,365,951,274,717,259,954,949,635,612,302,425,421,473,629,119,
980,425,672,397,427,776,339,405,681,377,275,384,819,956,957,177,522,986,054,
845,366,085,048,624,414,047,155,978,379,587,664,974,282,901,488,175,458,928,
685,268,240,492,711,901,951,723,120,586,823,148,423,142,969,328,876,265,313,
837,760,437,237,942,915,905,109,491,104,124,359,380,621,187,550,837,568,278,
743,061,901,153,288,189,563,059,752,135,304,917,638,704,694,261,605,870,610,
895,591,913,085,542,560,704,032,921,987,023,376,756,311,447,801,123,077,641,
320,337,196,372,905,491,446,377,818,339,420,135,955,762,673,764,556,798,160,
892,604,407,110,202,796,885,613,281,025,362,083,695,245,687,929,944,381,527,
147,384,739,381,816,632,176,276,258,264,543,637,445,269,406,685,841,466,598,
211,088,294,989,636,055,853,411,060,633,374,120,120,043,069,926,667,595,965,
063,110,037,819,637,378,187,401,642,335,406,333,462,126,579,681,100,873,978,
984,949,676,022,648,436,602,146,632,315,512,409,925,163,892,252,797,151,097,
105,429,453,809,965,146,946,617,451,201,401,748,021,163,848,304,900,833,177,
944,860,884,318,994,090,567,469,771,035,607,867,107,676,421,962,869,696,696,
827,565,656,810,991,219,632,083,961,671,357,110,222,856,953,662,603,615,468,
720,050,261,700,759,533,335,959,267,490,975,601,560,124,967,144,251,921,631,
097,859,649,001,569,171,260,553,801,111,285,187,968,450,898,714,280,833,650,
231,127,667,450,311,404,342,923,004,282,071,260,544,309,777,474,866,311,699,
260,920,409,193,525,018,574,195,312,096,284,574,928,463,087,838,359,191,378,
392,424,912,708,133,309,729,959,796,254,698,676,423,088,328,039,507,072,545,
896,039,594,416,747,310,211,043,383,263,015,009,832,823,316,716,106,893,798,
981,526,920,260,601,717,848,836,323,225,200,213,797,597,082,308,122,956,331,
899,256,814,930,592,476,747,079,869,976,170,684,117,154,863,753,612,621,572,
140,082,547,037,627,812,320,068,246,535,372,115,823,762,860,139,725,321,686,
785,906,325,813,218,362,714,389,845,360,294,662,140,450,408,685,813,171,827,
641,619,989,208,545,637,522,278,283,717,065,648,229,132,863,002,351,601,692,
565,384,020,648,645,427,206,631,535,630,754,695,720,583,041,367,936,751,393,
384,981,696,743,439,182,055,604,352,182,993,498,163,725,142,627,785,177,724,
632,661,088,761,608,974,668,696,033,599,880,763,386,176,715,205,537,068,882,
742,129,401,211,028,219,459,619,991,127,657,328,455,547,089,818,144,060,660,
575,392,270,791,765,335,274,273,928,953,762,893,953,231,528,609,901,956,172,
831,931,040,054,481,346,785,325,783,716,550,871,816,062,620,131,189,491,143,
534,584,066,013,417,493,670,129,081,860,032,681,279,564,337,254,332,129,202,
361,749,223,210,245,865,787,808,788,399,499,279,556,581,910,323,099,459,093,
788,713,523,759,011,099,476,218,399,038,197,565,458,525,709,396,983,834,271,
841,812,015,632,168,719,340,078,478,192,444,203,435,292,476,575,800,749,666,
031,447,963,406,626,683,041,141,163,500,661,119,561,463,602,687,426,150,357,
284,683,023,132,483,543,013,418,295,264,251,686,524,684,202,488,788,083,659,
098,196,815,347,827,846,864,503,975,182,179,562,554,066,815,885,195,136,699,
488,592,891,269,880,915,924,458,114,426,494,287,927,951,199,375,172,601,623,
362,788,185,717,535,964,570,528,180,513,784,264,039,309,533,197,886,393,146,
621,484,759,958,623,954,667,247,853,634,405,467,818,786,258,102,676,869,707,
928,841,213,242,691,206,535,142,980,591,779,148,102,770,056,403,749,864,677,
376,996,945,156,993,255,103,064,084,778,989,691,850,848,612,615,921,316,070,
293,913,456,261,736,885,133,557,848,942,786,908,663,263,814,656,015,236,100,
393,452,210,246,364,355,060,498,292,193,211,448,741,669,163,218,121,767,089,
527,876,996,750,519,987,725,021,936,537,523,567,854,164,708,277,609,377,218,
001,616,053,738,396,807,635,444,240,568,423,449,642,158,777,921,323,609,317,
284,763,850,815,343,256,773,101,991,686,477,880,327,260,963,831,163,708,284,
050,672,674,767,824,418,874,521,413,849,674,449,965,096,597,629,432,413,227,
947,180,903,269,162,920,565,233,796,358,922,573,980,975,134,656,148,362,238,
956,335,015,595,252,250,973,662,866,167,796,256,063,884,655,322,052,276,849,
311,276,346,679,116,208,658,539,292,396,078,374,603,621,407,521,411,654,140,
444,199,842,812,029,567,348,930,841,171,284,271,570,172,250,183,555,734,974,
483,562,047,040,432,244,157,370,822,719,580,618,471,490,030,756,011,565,018,
065,434,252,777,742,138,307,768,264,278,556,392,963,324,439,560,955,060,406,
152,774,645,603,011,089,010,234,782,041,840,236,538,050,145,759,951,660,815,
595,695,053,443,208,946,062,253,997,674,844,492,569,072,910,121,320,270,313,
249,630,612,502,047,542,959,201,305,337,472,007,891,369,639,294,412,165,234,
911,948,735,997,054,037,838,183,823,746,934,747,957,502,961,949,114,412,061,
836,966,516,495,686,803,200,660,665,962,830,789,348,036,865,096,503,683,702,
490,424,962,698,068,301,398,889,493,745,975,046,942,072,865,897,117,177,770,
113,132,954,637,080,704,828,287,337,596,245,166,677,588,119,703,832,709,599,
959,187,431,789,534,709,261,105,985,516,790,698,893,929,877,668,075,779,859,
916,464,305,448,201,384,930,430,231,703,276,511,809,341,818,079,530,873,408,
670,818,708,129,839,654,337,426,495,060,041,876,573,821,655,332,593,731,239,
062,019,371,414,965,916,885,320,010,061,422,626,973,949,019,385,203,069,224,
578,934,967,496,797,988,956,027,657,967,419,485,560,745,543,148,095,061,761,
078,509,743,090,554,198,350,464,732,221,166,557,349,564,561,163,873,736,374,
766,990,602,250,977,231,985,158,786,420,690,362,993,132,344,254,595,409,745,
532,959,796,007,346,618,306,782,157,473,289,276,655,578,396,990,084,753,173,
536,352,194,794,495,322,501,524,635,495,793,426,140,384,104,225,355,023,043,
239,449,602,794,621,713,570,566,394,119,523,852,916,778,383,911,091,150,044,
584,362,997,428,438,587,449,362,051,372,066,819,212,697,003,808,410,582,777,
753,640,434,005,074,685,173,637,330,438,376,225,276,678,280,679,278,840,169,
024,769,108,314,204,310,061,299,458,478,179,606,037,137,691,390,624,598,776,
420,170,051,644,236,845,142,785,076,690,728,360,954,951,568,928,264,764,358,
423,050,991,801,813,850,544,702,962,055,350,210,225,278,989,796,373,213,869,
556,709,315,952,302,274,083,183,787,724,583,709,074,351,551,334,200,308,504,
216,194,883,492,442,298,105,624,916,879,937,988,901,375,494,020,140,272,770,
620,731,253,640,352,727,769,173,953,104,831,805,739,130,007,142,482,609,531,
507,005,046,526,182,944,532,749,994,137,675,746,407,914,721,375,328,559,582,
982,616,625,057,812,083,559,937,109,797,848,471,064,026,684,585,778,153,735,
115,583,472,053,954,993,641,553,728,404,796,624,177,975,576,292,923,269,335,
054,429,669,221,536,915,779,642,864,960,198,998,569,658,022,695,673,154,362,
357,793,096,826,484,846,948,898,329,768,572,536,222,093,117,283,213,007,270,
058,061,190,633,217,942,271,312,344,420,682,097,024,810,634,966,547,082,650,
795,293,279,413,568,760,242,635,321,309,270,116,029,463,789,702,757,870,873,
970,853,746,782,465,254,282,873,180,860,259,992,364,316,394,606,989,753,505,
544,623,618,586,367,036,688,517,377,281,516,797,646,616,881,974,343,961,384,
342,755,811,782,156,850,928,996,738,474,761,592,245,863,865,979,117,698,654,
667,704,552,946,336,488,933,838,174,194,935,813,059,801,238,544,132,342,989,
842,951,690,193,634,812,382,570,249,880,108,955,694,142,219,368,294,406,974,
001,719,791,868,031,593,040,913,938,997,084,586,531,661,487,187,321,091,537,
132,370,573,555,071,297,429,582,398,647,399,275,141,787,280,447,326,741,740,
540,829,523,477,554,075,207,937,222,022,656,789,154,932,152,034,599,924,045,
231,083,405,498,482,175,027,143,191,452,754,975,243,204,858,767,381,065,778,
791,718,407,295,906,162,718,467,464,374,832,028,537,767,600,934,930,389,564,
117,075,040,247,923,604,189,291,800,313,089,628,366,601,406,800,173,392,101,
843,512,448,343,386,471,263,280,886,347,190,662,148,661,476,387,465,755,670,
248,357,048,170,942,231,610,457,845,241,875,894,425,323,846,749,800,634,132,
414,235,666,651,800,211,881,069,090,307,262,827,922,809,845,180,567,803,325,
807,037,201,493,858,870,322,983,955,387,119,368,266,092,309,797,507,896,393,
307,583,737,825,331,625,683,958,536,560,799,632,848,032,511,008,260,588,979,
087,541,801,787,188,301,424,803,806,370,393,951,247,181,804,638,638,046,976,
845,474,257,154,454,976,666,794,707,179,224,103,776,557,259,144,226,775,499,
910,094,305,918,632,700,759,008,135,212,244,120,060,093,882,196,816,024,712,
493,264,545,258,899,742,036,303,549,951,898,891,626,847,240,212,134,271,016,
098,505,895,208,816,510,016,058,862,884,933,975,836,260,837,571,313,968,144,
867,759,838,086,691,260,370,987,928,421,999,494,466,310,066,337,813,236,739,
096,750,983,632,297,213,993,063,720,664,438,455,208,883,293,679,583,209,069,
634,314,250,216,033,587,245,783,924,991,706,021,209,340,095,989,208,458,388,
062,326,457,800,710,284,814,727,915,929,736,472,183,883,469,263,923,818,619,
438,052,120,638,941,379,420,005,776,322,471,458,098,474,675,613,649,036,738,
442,463,224,074,824,383,581,596,719,806,499,451,402,354,861,359,749,022,568,
607,501,387,082,367,563,926,050,652,107,446,421,905,186,514,114,653,509,244,
251,993,988,490,058,388,753,718,222,706,528,765,511,781,810,124,224,173,620,
526,378,435,718,573,271,258,541,226,820,510,963,260,210,374,847,486,848,875,
871,318,560,852,563,864,476,795,391,246,201,080,573,725,420,639,327,334,624,
839,134,764,936,700,443,078,160,411,266,587,142,832,474,472,736,540,486,104,
871,903,595,005,535,228,743,610,281,860,632,052,657,817,309,649,905,601,517,
579,030,251,646,184,807,560,740,875,152,318,405,794,543,983,915,470,660,212,
986,438,440,738,747,557,838,173,261,288,420,040,654,728,651,290,928,840,328,
940,003,450,758,230,859,024,959,274,921,582,479,537,409,935,559,766,045,266,
106,042,261,238,892,066,817,826,850,696,302,615,509,818,106,739,707,613,384,
730,688,631,812,675,882,159,119,930,664,419,055,491,857,630,579,530,533,152,
717,734,244,652,320,727,255,625,336,883,284,313,835,506,948,255,210,251,134,
636,608,587,287,443,484,239,625,857,752,226,937,066,074,542,076,020,574,112,
965,159,233,323,580,427,571,879,287,578,882,467,087,311,992,164,037,118,735,
925,160,164,446,842,071,482,796,996,306,629,145,161,206,168,200,855,208,352,
771,044,635,013,560,760,900,024,662,550,564,899,580,248,812,606,293,299,978,
039,929,115,792,077,644,707,788,182,726,940,024,318,412,762,285,920,712,389,
659,916,590,338,694,069,625,716,094,352,598,990,783,129,971,995,666,548,547,
228,631,635,841,984,988,384,279,143,962,297,637,921,410,885,752,913,809,848,
855,820,637,694,750,950,709,657,479,356,786,271,935,802,851,028,576,783,898,
221,052,604,373,471,052,739,204,964,210,654,831,924,056,687,020,536,823,503,
097,442,434,702,418,503,076,963,150,467,809,510,344,593,386,079,527,941,275,
459,054,387,005,021,193,493,723,549,995,207,904,996,155,544,344,551,758,241,
355,058,448,197,391,389,833,896,029,168,901,327,044,132,011,445,657,086,110,
351,997,016,872,078,949,245,311,234,919,008,758,444,207,335,201,193,372,705,
351,793,507,005,501,767,149,997,554,596,147,533,918,469,027,165,501,926,344,
576,085,981,331,200,152,059,931,996,919,749,707,232,622,304,777,377,180,093,
534,099,390,462,863,676,792,734,229,429,185,263,101,078,550,271,171,460,141,
246,877,872,549,945,060,046,160,495,742,418,776,980,586,663,901,492,797,041,
832,059,001,843,281,787,325,029,159,040,666,860,582,754,922,262,636,740,039,
316,497,010,656,264,169,653,028,789,987,335,489,292,963,284,875,055,642,267,
097,243,892,498,696,677,335,862,892,378,153,263,898,956,987,438,570,790,960,
228,482,500,552,504,754,215,237,097,668,656,661,723,971,849,490,671,110,123,
670,500,045,219,093,696,064,811,579,688,422,953,475,897,103,687,768,812,987,
577,116,588,891,068,803,871,995,719,328,793,170,351,995,657,986,163,073,690,
794,835,512,914,727,511,056,778,772,193,116,352,194,526,001,724,185,457,038,
477,683,851,181,232,836,635,736,791,531,270,334,498,090,396,495,022,623,188,
183,568,345,509,070,302,694,136,754,885,171,611,257,343,272,615,438,431,180,
043,984,183,227,637,514,449,675,431,963,662,977,478,123,831,375,332,387,827,
610,871,972,191,795,731,673,396,822,977,278,485,771,471,437,527,341,772,567,
633,037,551,081,339,120,852,855,327,741,590,635,721,210,797,312,302,040,293,
998,437,953,832,109,493,405,804,183,133,187,802,125,214,452,117,622,843,740,
234,132,988,015,131,536,107,852,594,262,298,657,793,734,277,537,018,941,889,
405,365,541,644,111,191,638,838,963,828,788,740,425,006,151,270,699,711,540,
881,981,519,091,862,274,496,003,109,374,093,897,996,239,932,481,166,520,820,
138,650,963,571,303,705,386,845,947,266,377,219,936,405,832,991,773,011,472,
681,584,465,819,814,007,807,482,687,674,733,177,534,992,605,547,445,286,446,
567,898,186,509,924,928,518,917,834,809,399,350,022,877,300,252,391,274,241,
627,051,048,877,419,068,375,546,251,070,945,813,845,126,825,563,270,963,368,
956,075,129,399,121,342,386,349,602,655,836,608,215,191,566,032,715,111,039,
936,585,493,753,524,522,649,322,499,884,540,027,907,653,663,866,625,860,740,
586,880,845,959,815,131,839,258,489,785,892,641,038,297,214,660,894,013,167,
338,935,700,039,193,759,749,249,876,616,163,555,440,938,845,397,935,079,338,
721,901,884,709,081,593,773,228,359,029,348,418,663,270,803,552,212,053,311,
680,783,103,322,932,040,582,494,860,887,550,190,331,962,100,377,958,048,932,
023,811,830,360,213,055,744,649,727,210,343,360,578,578,004,815,956,795,674,
785,524,678,922,085,670,416,457,642,897,626,876,936,924,995,944,977,938,152,
372,340,932,963,350,622,704,652,732,996,021,792,668,988,956,717,650,366,029,
483,138,956,430,248,596,859,234,503,523,638,224,041,406,052,384,256,493,222,
878,178,874,952,246,748,457,523,986,123,475,395,461,193,136,945,609,375,799,
433,131,927,706,011,971,837,404,504,411,760,979,033,329,282,785,058,704,719,
581,321,387,144,548,806,718,970,136,987,742,344,808,972,171,951,070,092,046,
400,786,110,413,679,053,432,647,815,416,618,888,630,756,527,830,605,892,907,
865,968,301,380,378,682,705,242,105,874,954,019,508,563,381,343,438,221,315,
506,205,597,389,394,425,019,282,168,334,014,464,790,548,722,740,843,120,280,
489,249,696,417,431,738,520,038,070,728,726,138,868,859,066,011,365,369,131,
534,102,032,236,706,121,866,036,137,292,868,890,496,159,659,895,077,372,059,
429,431,959,944,343,305,408,726,062,153,628,011,945,130,324,921,087,254,275,
582,055,469,172,560,013,284,775,399,694,277,849,261,710,763,527,322,159,590,
698,163,341,415,023,403,640,821,594,542,630,992,919,024,625,164,676,612,881,
586,334,944,067,509,383,897,047,502,618,563,937,170,949,533,851,515,711,454,
809,317,867,822,043,476,039,061,668,882,130,514,787,598,186,096,237,660,583,
127,094,520,868,984,020,225,400,131,129,658,571,898,133,943,144,230,878,055,
563,169,774,773,801,310,256,705,799,063,382,895,201,065,144,063,561,857,506,
961,795,125,910,103,206,246,548,692,241,455,349,595,203,683,616,733,603,283,
964,030,311,355,987,051,287,269,245,424,746,174,000,925,928,320,678,152,983,
300,314,223,357,920,503,634,581,936,697,486,787,848,000,425,866,635,403,463,
709,069,772,396,295,175,925,870,312,043,873,933,942,899,016,576,770,513,469,
169,396,779,284,568,655,398,593,901,535,945,895,235,991,961,046,433,664,302,
271,478,609,210,420,806,769,381,273,115,492,146,890,166,524,693,404,387,081,
284,890,313,141,832,456,740,987,167,518,361,673,460,205,124,362,333,114,747,
269,317,296,170,777,184,898,951,879,330,866,475,963,057,672,071,848,009,534,
956,493,031,046,484,107,900,437,706,388,502,988,809,703,649,557,047,485,717,
997,175,786,182,181,263,882,686,008,483,084,684,552,146,847,247,248,770,760,
206,942,390,034,265,849,195,413,488,435,379,924,424,415,400,471,438,159,694,
140,702,791,678,374,957,232,855,162,093,726,025,914,075,434,052,379,965,861,
316,804,244,179,053,275,675,314,683,770,771,987,432,379,885,305,513,244,184,
666,371,795,505,249,920,758,577,069,559,610,986,345,997,130,711,433,724,424,
970,344,787,103,125,029,344,112,697,452,233,465,020,473,907,297,723,511,737,
167,279,560,743,371,771,472,267,800,017,164,675,141,838,551,214,468,599,138,
612,974,903,119,175,573,023,640,582,758,187,711,209,554,437,359,563,542,908,
720,333,151,568,439,339,304,708,196,016,504,286,148,197,111,191,741,387,982,
748,685,887,431,702,696,284,187,338,396,632,536,114,724,334,968,495,058,531,
962,021,464,050,310,463,477,739,734,755,414,487,809,456,986,832,816,065,689,
930,759,742,717,694,057,012,622,188,214,913,690,549,695,362,220,645,643,449,
353,210,860,719,536,602,730,006,674,583,427,229,052,063,355,724,388,398,807,
562,671,293,170,694,345,935,779,694,510,257,881,460,696,888,377,755,940,550,
753,208,604,463,781,204,178,207,169,971,953,525,661,629,034,884,352,367,830,
744,863,653,866,513,275,204,294,613,934,997,108,570,019,710,603,300,736,249,
487,606,668,603,306,629,992,977,413,028,060,504,717,182,302,270,654,173,635,
448,992,931,304,960,427,679,393,374,950,493,577,060,865,568,706,475,616,760,
660,606,742,550,852,832,691,086,897,787,742,443,780,769,054,203,115,671,512,
112,091,996,918,529,040,361,784,093,202,960,440,134,706,243,862,838,926,577,
551,864,611,508,589,034,905,753,377,307,275,219,257,451,840,721,086,136,950,
095,972,931,321,562,825,805,151,345,562,805,030,118,716,166,851,429,011,079,
752,224,342,420,644,905,316,453,701,691,729,346,305,965,372,082,755,820,119,
773,994,191,480,165,740,260,634,049,757,556,821,023,087,114,932,378,807,793,
635,726,570,538,155,261,341,862,884,495,875,484,279,937,104,435,348,411,336,
174,801,313,715,879,347,443,990,832,541,899,241,241,699,706,288,770,716,463,
746,953,361,823,727,434,313,785,793,096,019,013,668,859,582,424,394,978,414,
307,559,333,210,208,816,133,097,782,774,619,475,096,361,720,928,687,708,089,
398,657,126,208,712,036,105,201,653,892,675,704,427,228,525,062,904,341,670,
929,568,956,417,808,528,060,906,870,183,650,942,493,877,651,162,699,688,912,
420,001,406,477,712,045,309,491,350,054,784,413,907,364,560,366,465,423,351,
339,083,806,586,427,591,117,870,712,174,165,098,267,272,921,928,997,660,488,
143,400,177,917,703,543,521,469,084,819,276,948,803,424,612,070,751,326,242,
441,289,955,142,912,001,852,407,329,221,031,609,205,614,262,715,157,274,423,
409,055,389,899,068,180,012,455,927,355,998,981,330,597,396,262,481,502,517,
515,100,151,399,785,295,785,855,828,762,451,407,362,935,408,908,528,831,428,
710,174,662,318,495,909,434,837,169,124,195,259,416,887,222,865,916,871,762,
000,157,874,829,842,441,089,442,930,508,645,262,217,342,949,979,647,760,453,
140,881,277,975,107,555,353,600,072,370,591,882,285,161,851,782,024,991,002,
289,028,716,420,300,709,923,413,162,528,402,227,236,808,063,503,027,934,208,
421,548,632,174,508,861,217,052,455,211,309,275,872,269,299,983,399,993,576,
787,616,817,674,707,779,929,929,625,391,825,001,866,607,782,560,913,958,034,
572,486,576,172,043,578,315,208,136,051,285,335,739,091,050,275,803,345,058,
439,672,866,399,834,562,113,444,444,109,699,000,297,338,072,917,264,360,661,
411,612,283,588,817,965,040,028,040,495,373,596,535,545,117,275,724,752,923,
296,444,535,425,947,716,468,293,493,673,667,621,862,287,093,065,633,265,158,
609,701,270,961,018,468,843,503,390,202,283,827,474,876,968,889,680,807,150,
597,837,373,229,499,552,510,276,085,817,779,156,138,951,985,225,942,355,426,
525,979,396,749,681,600,516,363,397,912,921,854,389,246,235,798,339,155,803,
317,580,509,082,258,576,193,783,313,771,069,335,363,467,440,718,845,039,808,
190,748,001,743,857,799,943,226,154,817,838,461,985,474,094,972,575,793,276,
898,554,823,539,263,371,089,689,819,317,246,703,417,321,674,483,143,059,069,
122,495,107,855,677,338,265,021,839,521,199,857,883,567,846,731,622,346,551,
168,609,909,199,894,187,679,969,076,330,261,440,950,113,020,865,393,485,415,
128,429,123,287,789,919,648,077,417,695,802,679,909,002,733,621,853,936,045,
291,957,841,312,741,200,988,879,986,577,519,657,885,171,601,426,127,415,332,
976,024,714,473,926,015,087,683,237,576,406,978,540,645,563,525,226,437,832,
779,580,685,572,369,029,199,931,965,232,091,546,467,925,448,866,403,881,572,
193,234,220,674,675,322,628,523,790,204,144,647,605,399,242,801,377,686,240,
488,247,370,813,995,175,693,032,686,848,054,928,028,011,196,283,296,664,208,
889,066,933,124,778,214,863,317,611,170,391,067,965,164,502,913,831,585,107,
997,985,964,701,426,953,392,133,383,645,337,105,567,208,408,355,341,173,183,
969,977,974,381,266,951,814,846,260,217,521,211,800,609,772,256,767,481,926,
357,196,566,817,276,831,752,272,485,008,758,006,591,947,051,532,862,087,697,
589,571,552,587,888,055,092,354,781,792,450,596,312,262,211,921,777,484,508,
086,109,960,684,161,521,741,948,266,373,910,579,257,028,129,416,128,646,461,
866,214,658,060,131,665,709,624,699,909,214,809,529,960,160,658,149,995,750,
571,602,625,026,806,044,611,317,094,782,023,119,407,019,608,407,768,277,230,
000,614,318,856,840,856,982,018,066,623,819,427,331,212,813,658,270,088,782,
778,142,763,468,169,467,385,212,994,780,036,816,146,257,506,039,667,157,546,
580,866,562,399,733,204,948,635,683,188,421,464,101,818,287,553,661,767,975,
719,295,922,479,801,191,550,966,798,612,930,398,078,841,467,939,071,894,481,
587,990,184,604,949,162,999,385,466,439,944,545,861,068,940,078,596,843,449,
366,016,775,422,587,008,367,324,575,211,790,468,946,435,768,309,783,808,134,
963,844,958,603,790,414,993,795,797,505,802,262,805,347,719,463,171,353,431,
625,826,638,849,022,549,666,958,809,775,476,270,125,078,094,289,865,075,692,
913,742,392,660,599,624,571,490,970,435,821,359,726,942,632,047,466,996,390,
078,815,065,154,979,561,689,740,251,330,006,937,043,316,618,631,324,415,683,
938,314,015,396,827,434,232,553,983,934,128,061,732,373,543,641,357,320,547,
024,926,339,753,325,754,139,514,012,743,544,771,634,386,938,007,421,482,473,
210,867,871,192,374,505,860,033,312,185,802,863,173,020,651,723,148,009,716,
996,882,657,786,338,455,401,957,776,816,861,336,757,381,618,435,622,638,838,
380,390,955,956,399,688,050,570,113,642,259,476,814,685,725,453,162,057,109,
933,428,154,189,420,784,078,087,541,069,970,988,246,668,535,454,619,261,043,
260,693,654,274,611,028,967,394,267,756,432,889,383,437,419,707,981,342,517,
632,294,636,642,950,302,802,473,222,699,548,735,710,691,839,954,416,994,689,
080,586,944,222,752,689,486,854,202,141,098,892,120,208,873,855,327,872,441,
145,273,600,958,085,743,384,717,772,202,761,519,056,547,892,458,774,915,032,
067,455,810,285,132,926,670,286,446,266,609,107,453,713,360,738,618,056,640,
456,712,021,012,350,988,295,196,946,377,864,723,953,676,930,095,305,827,873,
410,922,508,655,613,280,090,348,495,673,583,029,228,014,265,077,945,866,934,
309,885,706,203,634,729,067,917,422,838,222,413,390,867,013,534,433,832,022,
392,480,915,884,656,233,438,570,765,726,840,358,197,869,641,058,734,177,708,
499,000,886,159,066,041,891,937,468,411,098,925,942,792,714,814,944,887,535,
057,835,801,782,620,982,579,173,519,622,822,572,902,202,484,094,715,698,263,
715,249,005,201,552,318,650,854,050,014,582,332,346,500,169,597,377,218,504,
782,714,065,019,015,510,254,982,752,209,477,546,226,128,530,157,420,318,924,
155,558,517,491,313,312,390,863,702,804,510,227,683,712,699,523,502,409,972,
975,020,871,599,131,178,297,717,953,718,483,219,683,528,265,086,199,754,291,
069,721,579,962,252,955,079,827,786,703,496,618,964,163,919,748,017,491,415,
844,302,202,114,790,340,664,026,755,743,162,758,879,414,512,338,294,535,295,
287,253,658,014,099,623,080,638,831,096,078,886,824,292,405,251,564,440,033,
125,772,715,541,833,303,765,272,208,743,679,833,824,992,955,139,342,491,903,
592,447,914,528,387,687,582,807,378,278,591,102,478,263,578,256,789,173,003,
052,535,767,966,005,490,078,645,948,296,044,392,206,459,064,301,168,689,076,
793,242,083,190,777,956,085,366,105,086,178,203,506,775,859,267,292,751,460,
043,835,229,638,234,019,692,541,039,555,235,863,996,237,576,950,457,371,754,
621,110,995,690,238,306,263,149,858,708,037,493,311,429,857,584,434,228,258,
104,974,043,257,346,877,023,995,937,502,795,369,311,456,704,168,282,008,934,
032,121,021,232,349,106,422,656,417,004,121,022,603,053,315,390,411,978,090,
070,654,387,831,294,607,355,035,666,503,048,241,450,689,760,046,841,716,054,
178,801,915,495,038,920,026,094,720,167,281,533,336,697,554,461,157,428,974,
103,758,315,690,080,427,922,561,524,654,012,640,602,115,124,080,769,805,279,
801,889,317,515,077,246,098,260,541,306,913,126,986,832,274,448,513,566,185,
881,473,559,040,310,838,153,657,661,858,746,807,962,968,238,352,991,688,984,
550,354,508,671,565,526,989,528,824,886,628,450,955,295,535,961,516,317,223,
830,449,481,959,340,902,418,467,694,233,396,574,118,687,755,606,487,808,588,
276,744,414,240,280,634,419,170,697,879,866,660,081,044,383,204,301,512,206,
498,330,087,417,128,470,317,447,871,032,878,309,399,480,890,118,099,516,161,
198,130,733,492,565,800,198,171,876,447,239,700,377,057,104,369,882,574,921,
201,224,006,891,455,098,068,334,404,196,039,012,932,662,458,834,500,800,820,
887,930,685,764,118,031,495,280,659,115,054,860,296,497,609,049,243,351,454,
874,089,171,361,042,874,730,075,242,773,503,665,361,181,578,149,498,886,467,
835,394,096,782,021,371,992,196,256,357,741,164,041,208,515,787,352,666,490,
758,358,034,390,015,394,705,223,248,688,580,537,868,587,064,436,723,728,386,
691,017,973,696,442,455,622,382,315,989,960,371,062,050,370,337,048,226,705,
113,760,169,374,220,878,517,521,039,046,904,715,360,778,600,307,193,612,736,
254,895,307,573,611,145,412,967,467,123,833,054,058,409,228,574,090,232,678,
555,289,138,413,833,599,119,223,060,735,680,280,892,130,926,221,316,376,679,
076,670,478,858,734,488,365,027,340,912,993,870,791,571,997,296,799,908,140,
186,708,118,924,382,428,462,140,843,903,180,892,442,658,256,005,393,842,872,
148,432,365,262,956,496,902,914,025,960,518,542,183,747,310,459,063,903,033,
490,173,617,218,662,921,753,184,148,570,536,347,975,039,527,767,292,133,308,
918,429,619,497,802,232,023,034,606,289,900,793,048,045,377,895,687,337,425,
967,419,873,917,742,869,730,561,464,650,637,017,465,402,951,633,505,644,521,
415,090,648,930,048,410,783,830,672,962,685,925,680,694,810,996,473,962,891,
192,404,449,421,515,274,389,062,094,198,491,159,310,323,381,901,565,828,937,
811,799,322,231,426,227,691,998,300,317,588,921,979,636,968,508,779,917,362,
926,237,377,360,116,677,405,450,944,334,487,010,064,593,495,641,967,221,478,
223,675,294,570,705,316,674,299,874,307,063,656,407,821,133,541,759,478,571,
050,471,992,363,678,022,379,450,045,887,499,149,190,001,909,713,797,328,634,
221,465,084,246,398,252,943,603,740,508,944,739,609,633,703,577,589,810,691,
345,584,111,781,670,951,575,002,344,124,010,565,214,292,151,850,862,502,520,
405,635,998,212,056,371,169,894,511,619,592,600,268,710,188,427,941,472,108,
028,733,476,962,218,518,631,194,576,887,346,148,098,172,196,370,071,904,665,
850,368,393,496,330,763,244,774,308,829,637,266,981,596,377,963,909,605,720,
488,784,401,636,250,120,390,792,970,617,000,193,891,038,187,767,565,963,730,
803,743,302,197,812,881,256,516,594,849,202,106,722,019,948,136,882,408,274,
113,489,093,725,644,812,599,961,588,680,803,351,063,395,718,449,066,410,200,
033,252,159,092,545,559,235,721,546,910,173,875,483,025,274,470,046,513,634,
459,683,227,492,592,283,497,490,003,615,260,626,437,927,853,273,795,432,136,
545,403,632,726,912,115,576,483,821,443,321,113,233,020,368,376,138,806,450,
535,791,271,324,462,885,403,032,231,555,319,622,207,748,824,318,155,352,608,
449,759,135,911,053,478,076,947,462,289,427,054,808,866,197,852,362,071,078,
993,025,126,262,547,417,568,092,196,095,932,608,480,299,270,376,813,794,720,
744,831,270,804,960,114,609,601,259,413,435,889,515,933,200,377,177,996,176,
527,780,619,112,042,320,908,102,850,660,054,245,602,707,549,013,541,196,470,
027,705,437,088,656,834,613,477,923,445,225,724,895,810,175,839,838,262,586,
638,411,087,557,308,342,865,239,247,813,254,019,994,815,154,491,543,930,624,
390,758,251,966,028,999,990,947,845,069,545,691,051,855,312,192,848,690,464,
782,634,390,486,435,234,003,598,972,693,682,301,229,628,128,709,132,070,461,
254,047,651,770,454,701,578,773,993,615,686,193,028,667,910,035,068,870,284,
210,267,627,076,524,831,078,554,476,062,781,991,301,133,312,965,247,072,087,
003,335,569,893,965,909,864,623,196,903,675,671,404,719,091,884,138,192,246,
254,035,113,135,712,949,043,276,397,488,438,780,362,797,097,469,312,413,043,
342,133,611,753,304,635,277,843,343,009,969,653,115,364,702,368,344,542,909,
216,955,713,753,172,152,782,792,459,974,940,795,380,827,471,681,369,165,122,
335,243,560,431,661,087,411,418,785,275,207,957,177,032,422,515,557,625,142,
817,532,122,422,243,201,135,415,843,577,302,535,834,249,461,849,944,804,580,
751,181,889,788,423,560,850,804,422,809,087,417,383,426,816,370,205,777,088,
355,222,467,128,540,445,101,699,532,499,163,639,350,451,174,598,274,924,186,
306,787,402,415,778,746,597,567,802,019,952,139,273,193,827,437,086,485,332,
664,559,320,471,072,449,445,547,730,901,273,782,331,436,220,836,027,236,465,
154,218,613,408,515,249,449,743,386,343,091,442,949,070,405,512,225,503,315,
427,133,736,961,116,470,315,228,545,235,489,118,404,849,553,938,177,500,575,
030,289,913,883,634,497,737,467,514,363,301,658,349,282,726,104,085,423,766,
338,335,224,953,206,027,398,977,915,530,821,040,635,521,364,325,257,651,989,
888,018,481,895,674,072,536,096,344,881,071,504,540,414,585,958,423,011,561,
183,350,705,616,454,903,021,777,236,393,623,331,518,291,083,191,252,234,757,
439,741,472,645,451,694,433,854,547,437,539,373,453,337,047,986,653,291,512,
387,502,924,373,862,536,432,408,213,246,590,322,293,470,260,052,702,057,195,
934,078,980,849,347,546,143,357,674,128,426,656,935,584,202,739,885,591,836,
837,262,935,194,284,916,345,225,683,407,073,327,923,214,166,555,162,193,160,
771,638,571,598,755,420,704,820,368,243,466,052,927,510,235,011,428,356,399,
192,716,502,515,445,826,481,110,351,322,645,061,757,995,988,296,859,825,123,
326,180,765,986,330,885,013,113,740,046,931,894,758,513,184,466,499,563,279,
513,952,346,728,159,517,472,336,482,200,163,241,136,428,509,739,002,177,503,
404,340,849,085,375,717,964,598,609,710,687,775,778,081,182,764,303,739,098,
781,309,819,187,534,096,804,400,705,177,111,762,469,833,606,773,681,838,111,
576,718,696,923,698,675,380,839,736,036,356,796,581,285,145,468,762,823,394,
903,536,440,648,861,833,740,221,232,347,588,549,262,310,122,976,581,319,865,
971,065,289,596,170,128,964,205,362,331,615,837,382,155,234,363,412,374,999,
141,067,402,429,637,988,028,303,593,153,220,126,734,916,312,064,418,427,231,
522,025,313,305,284,971,779,853,592,994,538,148,506,099,482,965,261,823,024,
577,646,568,481,163,389,603,234,051,196,136,917,725,829,440,996,124,709,324,
029,408,521,700,694,009,666,215,529,807,576,961,753,369,835,722,788,889,662,
406,320,590,104,898,854,277,310,384,750,983,435,160,651,223,121,678,579,682,
449,474,946,721,535,581,770,596,429,314,972,254,347,474,777,055,500,257,181,
163,797,246,267,515,635,466,722,771,660,600,018,484,037,326,496,529,526,167,
560,650,697,739,305,629,906,285,601,172,828,154,741,125,605,957,397,502,496,
274,683,369,811,164,950,349,300,135,536,005,346,091,448,312,052,360,835,527,
744,269,578,388,695,341,750,035,991,940,347,806,377,157,026,266,859,187,192,
161,262,269,707,429,864,786,186,060,683,977,374,736,885,339,986,442,208,133,
890,493,396,816,729,616,475,593,551,942,217,710,465,828,959,638,959,877,789,
324,791,043,088,514,280,136,656,097,261,354,276,319,270,382,531,166,342,875,
831,501,522,574,726,511,664,840,605,489,782,123,392,206,452,592,266,713,323,
350,537,603,543,291,776,856,908,737,378,810,195,399,164,206,646,783,307,152,
599,255,278,575,004,634,477,646,355,157,625,894,941,784,497,300,797,529,436,
189,332,694,326,592,837,148,566,343,688,749,792,412,247,644,666,925,658,867,
251,849,092,668,241,396,506,817,174,522,576,306,081,073,806,792,639,725,636,
188,791,599,790,930,936,405,603,147,227,990,877,092,626,457,511,915,786,719,
031,264,927,710,579,736,464,100,685,041,349,162,667,763,894,227,137,384,752,
621,983,320,900,488,160,586,717,475,191,050,548,928,004,665,254,116,572,928,
317,411,519,993,330,879,332,988,662,335,933,602,765,773,364,244,718,505,776,
155,770,251,108,557,022,561,172,785,866,677,104,934,373,337,114,966,020,659,
613,478,171,099,002,461,324,255,684,338,805,516,986,773,101,749,031,301,873,
628,719,800,390,326,555,406,123,432,294,268,143,738,205,761,634,741,186,064,
092,027,535,327,914,142,151,493,842,829,714,814,270,494,311,032,517,392,706,
379,094,259,724,572,085,810,081,411,821,791,904,877,934,135,720,856,010,235,
010,666,146,486,624,646,891,808,735,855,193,501,624,264,317,398,241,144,046,
440,415,637,941,153,841,538,344,297,145,522,663,991,580,737,767,396,416,788,
047,454,292,330,749,296,198,541,981,639,856,992,822,747,011,757,704,311,673,
659,345,070,390,493,469,199,345,268,811,139,679,803,946,177,620,660,368,922,
428,342,229,400,209,658,593,112,561,172,808,778,279,763,650,696,969,530,720,
255,823,553,430,280,035,166,424,054,406,331,855,198,613,914,920,308,394,527,
293,086,548,402,507,551,344,110,882,440,246,397,478,372,133,303,296,798,319,
932,051,579,027,811,432,729,821,575,069,840,763,406,436,250,373,983,301,621,
944,567,457,505,989,458,616,938,613,493,935,821,750,534,104,360,389,032,573,
445,638,530,505,758,761,914,466,130,415,253,995,810,583,380,372,041,008,625,
519,868,985,019,646,574,324,564,360,797,209,863,559,013,040,971,526,988,518,
840,032,948,742,701,696,721,363,934,664,368,460,879,137,507,272,628,977,004,
927,318,779,629,031,083,830,788,656,967,453,074,850,034,255,159,475,192,114,
042,614,721,303,608,238,201,870,777,219,834,521,649,514,171,384,998,061,880,
738,674,476,659,835,214,916,101,457,911,317,237,560,828,092,899,431,556,456,
616,794,671,479,897,813,136,131,480,882,835,958,824,567,584,473,363,459,407,
286,293,227,525,890,906,187,606,492,564,538,400,714,726,189,638,631,821,305,
765,940,490,313,284,534,782,703,787,021,133,943,688,817,155,514,598,932,892,
605,815,015,651,843,505,272,750,521,053,556,466,632,829,859,746,687,311,516,
792,800,516,360,651,267,865,836,619,689,304,500,891,900,005,083,808,295,493,
822,522,593,723,821,725,243,926,514,690,955,963,034,508,112,196,685,012,863,
890,587,834,768,839,746,659,892,591,515,233,108,177,484,855,546,879,196,779,
134,959,118,580,506,969,323,888,480,804,804,672,913,712,503,081,516,866,079,
685,162,070,081,354,724,526,730,939,984,450,240,661,795,301,856,825,323,547,
488,110,199,238,009,107,621,916,517,783,108,918,154,345,664,066,875,457,068,
941,136,896,481,152,798,358,300,287,696,836,709,744,318,980,140,147,103,695,
421,430,060,456,701,647,840,191,319,779,799,963,967,515,034,536,785,732,295,
487,976,729,475,956,652,760,364,093,414,680,927,292,813,155,778,870,309,353,
291,563,969,988,336,174,084,604,885,963,776,969,340,157,783,590,263,426,528,
450,525,317,796,333,871,672,028,761,051,732,558,231,876,033,245,213,920,327,
332,782,998,257,028,029,472,008,050,371,883,779,373,534,128,331,819,718,624,
649,955,493,654,367,168,985,644,622,417,158,393,225,414,588,726,462,620,274,
628,124,471,821,760,953,693,835,062,918,392,655,475,176,588,104,008,033,652,
071,932,463,943,792,476,611,607,704,560,208,199,324,342,812,644,054,963,967,
790,971,709,718,680,142,444,783,390,849,121,519,019,567,997,261,024,929,399,
173,754,298,478,096,863,395,409,887,523,912,696,174,519,569,793,099,264,737,
737,253,516,548,178,913,150,845,844,586,556,259,593,038,896,543,143,457,231,
731,479,469,694,685,293,248,111,467,493,123,651,437,837,905,803,881,854,673,
446,901,067,357,812,084,588,321,222,638,619,492,513,943,992,103,654,548,664,
135,979,154,668,288,878,800,322,190,717,596,608,047,694,017,678,587,103,068,
602,188,193,078,272,268,301,118,852,336,919,261,665,594,390,765,637,356,628,
214,178,556,639,149,463,860,948,812,744,015,036,603,887,363,236,067,961,550,
958,119,885,732,843,240,825,480,789,595,577,207,677,213,104,175,226,316,771,
612,030,701,616,071,272,157,868,787,386,762,060,772,662,258,120,262,228,925,
812,988,535,754,494,164,712,687,189,335,737,221,767,088,892,048,007,077,892,
555,936,371,456,821,861,485,386,616,964,498,376,276,713,058,368,330,945,365,
041,802,985,311,929,376,678,461,887,353,303,799,132,550,025,091,803,244,454,
224,738,079,577,824,690,900,991,342,433,111,597,477,349,319,431,376,599,444,
978,454,989,749,480,653,258,370,548,769,053,177,944,818,434,263,610,645,130,
213,254,882,048,811,968,486,629,407,772,863,391,817,906,437,523,138,483,208,
980,300,553,008,993,151,393,336,932,149,108,493,243,572,396,192,727,569,157,
301,851,566,497,125,484,017,873,235,619,651,094,914,601,502,110,187,182,501,
598,571,484,745,569,552,949,494,026,618,724,331,707,269,443,949,008,460,784,
058,174,802,282,866,112,564,446,822,365,941,272,625,940,690,595,665,367,177,
794,957,273,294,679,420,293,052,326,313,734,962,833,210,395,122,707,557,244,
461,627,779,658,718,984,625,874,342,623,549,437,814,878,607,398,862,780,339,
426,580,023,730,298,470,038,464,368,143,880,069,447,347,788,581,026,339,359,
712,378,422,323,502,964,662,674,971,603,356,809,746,492,890,214,499,789,956,
317,631,346,330,568,237,254,815,170,997,792,635,594,213,423,964,086,437,041,
635,008,713,417,280,787,757,091,141,225,982,488,386,233,689,967,385,023,122,
252,638,795,193,253,191,561,161,427,609,066,195,947,743,019,591,936,564,639,
017,985,250,597,853,748,409,261,241,980,826,578,110,935,757,886,793,355,127,
775,654,862,785,180,139,729,951,218,005,159,061,551,613,531,619,910,348,151,
519,442,319,940,362,732,009,418,023,578,467,128,814,091,220,218,116,009,674,
301,119,316,315,929,953,297,484,096,066,160,295,699,998,160,186,323,335,997,
767,037,934,194,826,741,245,161,412,303,041,920,646,006,780,175,342,558,752,
386,231,466,749,322,537,788,883,218,633,724,857,644,402,331,762,710,422,086,
334,721,098,148,668,404,145,299,811,351,681,762,629,372,956,939,463,068,686,
808,528,890,506,600,310,128,626,243,095,763,133,190,242,873,836,392,806,415,
576,310,110,170,086,977,258,431,207,619,135,349,335,675,179,889,932,398,341,
294,556,424,876,920,698,018,116,123,228,537,180,957,893,496,187,862,910,658,
515,342,890,432,935,903,136,177,725,211,875,493,909,882,664,880,112,185,358,
010,239,562,845,120,187,240,995,760,045,881,044,098,763,945,988,981,479,272,
230,585,013,259,696,687,160,230,579,222,571,442,115,369,681,088,521,615,154,
956,451,210,693,018,845,090,106,831,042,680,798,070,932,211,097,759,938,881,
929,597,446,466,470,172,240,731,279,567,309,899,865,158,181,944,618,729,665,
534,932,792,344,869,103,785,741,413,019,751,998,047,783,575,532,342,859,012,
708,831,517,532,936,070,579,323,149,459,070,282,439,855,708,746,735,023,844,
333,353,609,320,500,721,207,620,064,221,503,517,013,634,328,258,050,418,966,
161,486,349,406,540,462,774,748,111,667,329,062,748,463,026,677,021,422,878,
615,960,907,638,334,169,337,172,266,310,070,939,123,561,563,407,941,567,243,
827,329,774,897,100,252,867,846,997,663,259,335,621,420,490,261,995,807,420,
065,158,065,994,822,686,530,597,940,553,467,661,808,490,013,155,833,115,264,
993,053,152,198,453,795,549,103,389,528,884,114,946,929,124,737,967,029,145,
490,201,971,369,098,899,621,706,341,703,247,250,246,024,265,830,564,580,838,
347,588,894,795,653,895,478,446,033,029,546,641,185,547,324,372,254,215,287,
729,209,434,169,334,130,568,066,729,278,345,979,676,765,152,059,286,656,683,
579,521,402,038,265,480,841,279,226,700,607,596,871,181,513,827,708,456,736,
553,823,127,262,895,586,500,069,245,834,313,146,885,762,719,647,101,398,853,
576,540,550,184,326,137,061,389,994,736,643,051,677,390,955,283,506,362,599,
184,929,371,385,686,020,052,972,352,549,533,499,533,430,679,725,121,591,714,
061,223,266,441,202,218,820,175,744,659,099,165,025,777,655,164,451,474,242,
491,145,668,803,212,320,678,614,391,195,468,535,736,644,745,478,178,309,429,
839,149,124,902,135,997,023,804,343,825,549,209,769,843,137,758,082,096,138,
371,908,041,631,817,401,611,789,168,832,775,698,382,385,467,328,024,466,266,
493,870,223,165,555,293,712,301,875,846,220,409,505,169,926,485,505,126,879,
188,638,198,383,810,944,110,370,890,977,957,433,428,218,100,698,270,134,158,
418,247,461,168,341,680,857,647,883,407,155,184,410,035,571,642,575,674,316,
481,787,045,380,303,698,659,567,102,164,878,250,522,189,290,514,395,924,383,
152,594,719,636,082,796,478,947,954,412,028,106,216,631,469,705,635,930,416,
801,480,363,560,763,373,273,161,382,542,668,923,513,208,747,086,126,496,558,
504,267,685,263,360,909,330,062,450,309,381,432,759,933,132,235,596,020,462,
452,625,275,460,872,282,318,961,215,818,637,656,699,553,983,945,657,416,008,
694,720,923,800,898,946,560,072,467,265,422,451,039,160,695,785,323,746,153,
700,614,170,477,507,635,384,489,211,898,847,250,246,600,646,109,521,981,775,
016,913,560,578,521,960,444,150,700,599,403,636,011,772,055,968,797,939,655,
853,698,329,517,306,586,535,409,418,146,250,486,399,147,682,731,112,340,456,
039,733,445,402,134,996,280,094,484,744,682,218,161,260,515,179,780,962,074,
537,364,663,412,055,652,093,207,746,752,470,330,552,017,770,635,028,491,279,
480,227,191,055,514,453,748,682,407,246,730,152,782,346,496,229,107,342,422,
444,072,553,404,281,245,143,458,573,208,618,617,305,253,610,554,728,222,771,
929,901,968,419,008,153,988,377,355,244,452,870,254,325,336,196,952,764,653,
286,747,976,114,989,750,315,188,356,863,918,665,547,654,161,242,047,184,908,
615,863,438,778,080,621,426,357,402,375,135,805,112,551,889,696,564,542,854,
830,643,957,365,534,053,742,859,717,638,403,300,741,494,958,841,494,613,605,
733,193,247,756,338,437,637,242,378,482,804,756,928,313,626,063,136,716,147,
096,598,143,647,699,647,373,039,151,431,915,108,492,678,311,495,189,321,859,
291,432,951,440,299,662,583,951,188,123,082,720,241,017,845,674,055,985,388,
659,439,054,872,885,333,245,531,747,429,274,427,712,893,580,191,868,546,476,
676,040,497,726,185,487,573,894,214,309,593,138,707,273,713,263,161,324,895,
906,532,233,397,260,468,064,413,022,733,272,767,731,836,540,273,346,349,158,
902,206,366,301,233,594,007,177,757,056,250,250,538,157,238,730,974,391,145,
260,890,653,352,823,070,576,176,064,440,743,316,347,430,276,812,292,318,002,
900,830,892,911,144,366,858,714,365,427,275,412,523,626,731,678,347,310,883,
450,228,261,735,197,998,158,059,056,672,124,321,692,308,270,641,122,436,655,
872,547,882,309,301,341,875,228,755,866,968,418,818,097,839,703,806,648,304,
972,819,141,443,145,223,510,561,074,036,471,452,152,508,412,424,462,977,015,
851,314,440,239,309,614,244,883,131,997,194,123,515,227,992,551,368,254,918,
347,282,329,996,388,427,794,500,414,426,595,977,190,503,388,674,826,010,474,
322,547,003,110,055,453,301,906,651,569,943,298,773,579,781,291,646,279,249,
501,359,577,507,107,222,156,265,122,341,379,503,054,409,787,900,329,502,987,
041,859,099,547,268,207,625,885,265,545,923,721,041,035,411,788,261,274,051,
217,875,759,455,269,882,160,477,154,849,541,523,163,485,225,285,353,643,500,
644,331,760,224,706,635,611,299,551,022,709,332,667,473,644,287,311,099,680,
648,314,167,737,959,667,211,698,850,358,662,528,345,730,921,073,555,483,323,
107,236,513,760,080,718,022,704,995,264,611,930,522,297,444,630,123,650,264,
657,482,317,137,156,904,610,311,793,967,148,458,761,297,955,012,906,473,168,
139,028,601,634,954,680,942,304,255,305,785,168,562,282,252,271,057,166,956,
313,653,454,549,276,331,564,597,641,570,980,931,570,281,138,250,988,331,096,
066,074,868,287,215,357,603,277,943,351,716,033,343,483,922,405,674,735,328,
331,722,087,917,064,572,000,185,804,953,232,373,212,438,376,373,875,776,561,
802,425,188,383,321,422,353,680,547,837,823,988,162,437,755,158,516,241,831,
861,305,509,325,510,493,625,409,875,738,412,220,947,452,040,522,424,706,925,
226,775,567,106,209,068,081,200,865,304,824,239,171,135,695,663,257,334,817,
517,394,537,723,141,793,102,868,048,072,467,852,471,754,236,423,501,497,764,
650,852,914,874,493,481,607,559,215,294,222,251,659,970,567,489,091,528,290,
076,820,828,928,771,798,782,719,976,333,892,130,080,774,890,079,259,998,453,
168,894,140,670,030,016,299,753,923,609,564,574,439,714,848,339,643,773,236,
018,667,717,354,647,717,915,630,130,582,083,457,872,793,150,981,745,729,126,
575,176,795,145,952,067,838,282,378,440,591,407,693,455,625,824,154,321,803,
639,876,831,024,297,610,390,325,389,220,435,507,609,442,795,334,236,599,251,
496,042,133,246,201,615,674,252,497,790,875,341,113,304,967,668,450,533,815,
357,283,810,746,243,232,548,364,432,254,994,416,128,311,753,356,112,560,566,
335,632,708,525,069,435,385,069,939,476,320,794,242,546,106,751,475,327,082,
332,935,078,746,795,314,518,875,182,011,993,360,884,675,063,994,727,896,705,
103,159,123,014,555,375,813,625,255,709,674,653,541,452,766,208,414,592,290,
422,787,094,756,361,278,504,036,717,839,699,939,342,041,917,542,023,076,613,
409,782,318,651,473,675,276,617,793,652,918,273,823,378,634,385,549,254,359,
030,428,341,545,400,203,101,475,512,933,958,209,219,044,938,007,047,128,917,
200,593,601,829,473,505,846,587,469,083,675,220,055,889,801,408,246,371,110,
873,039,939,338,405,164,789,485,728,367,867,941,361,934,424,777,915,451,951,
002,122,813,850,470,436,588,076,796,866,034,670,653,333,396,516,446,590,899,
586,569,238,930,090,382,510,171,046,427,215,228,755,490,468,386,554,502,829,
166,127,997,404,294,776,797,600,080,252,459,103,457,693,339,187,020,982,543,
981,249,364,258,320,201,017,234,304,823,648,393,209,627,327,189,119,495,129,
922,231,435,803,625,903,021,529,427,690,459,272,223,846,458,812,484,772,474,
548,321,797,455,816,669,669,428,849,810,541,748,968,626,330,732,849,329,739,
329,913,071,660,605,283,679,805,943,250,916,604,423,719,249,736,385,561,664,
228,551,421,232,341,194,796,983,175,906,252,543,231,901,879,384,412,999,381,
440,711,615,450,241,601,515,356,150,670,639,267,921,462,207,933,079,230,008,
547,504,647,804,112,375,195,574,401,133,815,871,459,674,756,240,946,276,327,
942,783,398,986,256,655,328,223,284,683,589,113,156,597,288,162,000,556,585,
391,247,884,192,171,438,993,439,177,176,274,588,044,965,716,832,195,665,022,
216,933,511,829,699,038,530,045,098,918,079,383,330,064,537,398,496,349,600,
894,235,356,352,739,113,721,584,697,385,985,395,924,846,814,728,718,550,764,
813,861,584,982,638,861,176,925,953,953,435,023,236,887,861,670,208,352,656,
400,936,277,394,287,053,052,386,870,819,254,682,465,413,272,534,688,496,019,
528,623,824,331,446,738,761,991,213,602,705,604,792,398,446,406,188,955,020,
626,750,296,903,391,871,776,045,635,799,544,656,826,773,084,139,257,238,506,
597,744,656,204,551,520,247,394,301,118,924,873,000,281,309,772,637,019,672,
825,079,702,462,561,275,998,476,851,466,473,575,654,091,902,629,388,534,350,
377,926,561,043,226,656,226,266,667,339,076,478,312,215,634,199,464,244,972,
552,638,019,573,840,529,492,107,966,232,974,735,452,379,823,597,290,731,951,
702,176,350,780,461,198,436,685,072,240,793,078,375,964,009,740,829,072,837,
503,121,600,786,560,445,157,159,253,937,189,438,273,919,151,173,788,145,731,
038,855,629,752,485,246,708,500,254,115,038,578,822,248,606,485,830,233,033,
869,027,331,371,363,404,356,728,500,367,724,137,763,594,920,530,571,905,740,
371,363,063,383,079,785,974,836,928,090,630,314,436,618,801,318,086,459,473,
308,695,557,048,657,497,816,179,641,316,522,583,270,470,324,661,621,993,055,
303,488,694,402,280,893,055,193,641,343,513,743,101,956,425,709,711,415,767,
728,565,020,867,722,935,260,384,856,001,986,366,300,307,378,979,796,940,575,
660,359,360,663,490,514,631,550,768,860,030,876,503,458,268,532,641,675,608,
654,690,718,954,834,174,370,336,797,878,164,100,066,807,738,626,727,682,106,
850,547,894,909,931,708,902,292,365,642,230,494,982,009,401,392,130,776,123,
661,129,050,873,567,136,243,108,801,561,193,222,135,154,074,268,852,201,431,
314,833,935,903,351,448,591,351,293,088,457,786,248,803,085,476,651,434,463,
704,120,056,686,300,557,710,443,939,847,435,418,518,848,990,325,881,668,861,
498,534,031,600,990,595,407,355,549,735,930,307,121,733,181,068,723,794,398,
785,286,403,159,873,201,154,886,379,359,653,487,583,095,999,502,688,743,587,
951,840,931,477,599,271,717,750,226,174,790,209,177,932,699,304,971,820,310,
381,695,462,684,820,852,665,249,191,520,756,561,807,107,326,731,823,653,336,
714,925,134,244,809,961,434,992,888,505,557,095,907,586,105,298,541,340,517,
408,979,150,101,985,584,162,267,868,910,380,306,317,831,677,739,077,250,258,
694,149,666,254,322,565,474,533,637,856,145,186,843,432,424,065,218,933,504,
180,208,226,495,455,046,254,339,828,332,217,264,750,221,794,904,287,944,584,
096,944,312,405,411,968,405,501,077,027,092,634,117,323,586,332,061,831,257,
311,874,972,352,469,609,640,228,356,833,851,135,800,027,723,441,503,541,633,
987,582,276,906,978,714,640,588,598,964,575,192,694,496,512,135,320,146,275,
097,314,181,237,761,322,606,752,988,967,357,675,204,793,109,867,886,274,488,
818,389,300,972,603,388,680,019,692,383,209,065,369,300,735,774,038,864,681,
263,199,422,260,551,515,912,108,141,935,426,555,062,735,494,185,107,636,480,
489,118,959,371,179,131,165,269,848,571,366,308,981,555,803,311,185,290,377,
050,052,336,676,339,089,354,287,084,395,996,936,453,626,334,177,108,506,074,
159,670,352,262,441,342,980,153,442,083,230,485,746,559,998,066,469,555,340,
868,828,595,865,233,937,394,609,840,077,953,585,039,837,053,986,232,385,238,
536,259,326,254,306,780,313,110,739,916,563,446,604,549,641,473,771,668,819,
397,614,146,300,082,015,025,069,168,080,319,637,878,118,076,928,942,511,209,
729,167,482,607,211,625,721,888,354,228,539,783,750,252,295,422,334,242,461,
617,928,968,916,136,252,488,060,889,419,308,073,393,591,932,488,498,994,951,
779,660,750,123,255,398,174,515,199,871,241,453,419,822,161,325,569,769,267,
949,891,457,918,764,782,903,870,873,461,638,232,114,827,257,925,827,963,900,
618,169,057,852,416,041,121,531,400,501,005,919,063,938,464,239,970,691,037,
718,004,522,434,223,350,856,911,234,442,856,976,759,794,885,993,073,696,956,
710,540,764,132,301,489,173,790,941,528,481,313,482,453,468,198,703,100,139,
556,567,253,353,301,742,295,097,086,433,489,412,080,001,480,617,254,445,718,
133,346,014,737,195,621,462,285,877,076,743,990,661,349,019,668,408,000,766,
794,247,158,188,355,387,477,661,465,444,065,734,707,608,992,049,977,938,806,
727,501,369,828,966,338,819,586,972,646,670,349,570,558,073,454,072,140,998,
200,294,602,928,798,908,086,791,432,486,647,353,292,060,540,563,740,890,131,
723,567,420,134,682,491,841,691,417,811,671,381,355,929,000,355,268,848,815,
990,778,659,600,113,231,877,181,720,384,290,260,303,888,852,945,643,914,902,
895,476,003,196,122,943,373,456,565,093,697,186,076,266,238,103,035,920,041,
852,462,021,289,728,518,200,873,924,674,513,103,886,237,172,248,128,320,230,
826,982,353,706,003,630,450,091,346,225,412,789,460,597,997,025,979,469,721,
286,758,348,517,995,319,928,104,293,861,454,925,142,221,448,613,303,164,444,
103,747,280,221,000,044,734,626,854,914,747,776,800,183,211,238,663,603,707,
662,456,995,036,329,761,538,170,640,830,785,044,303,583,208,611,420,912,027,
266,778,932,255,119,321,599,869,746,527,079,241,345,287,685,340,217,364,964,
837,413,514,794,539,531,106,987,049,093,955,782,346,252,566,691,364,824,931,
709,281,709,854,218,972,331,738,275,479,018,619,312,349,617,187,378,909,363,
760,699,960,689,349,201,274,926,560,954,189,346,744,196,736,580,871,495,531,
847,623,569,389,227,646,005,239,986,586,543,838,912,479,707,114,269,954,629,
791,875,390,985,713,153,704,384,714,627,389,152,271,155,853,879,248,115,711,
070,141,240,945,587,749,083,161,020,232,581,993,561,860,332,234,966,919,824,
722,796,385,122,230,909,093,191,922,670,143,671,195,077,673,887,311,342,971,
261,947,539,523,171,898,488,624,025,624,238,543,355,314,579,876,699,578,133,
485,543,534,982,045,326,162,590,850,211,141,378,554,338,933,053,548,144,936,
318,960,289,190,249,608,165,345,927,730,304,007,315,681,430,570,178,174,892,
145,180,965,698,874,983,631,696,135,330,930,666,164,607,337,393,105,918,669,
392,262,335,780,376,973,876,102,651,851,052,156,133,057,417,541,690,415,103,
877,622,562,019,665,764,886,469,186,364,418,611,127,634,726,056,150,790,155,
150,459,242,083,964,171,626,327,328,295,238,929,396,257,707,745,798,958,818,
607,599,411,615,505,934,656,246,682,792,638,323,171,276,927,785,547,337,865,
518,190,121,304,990,870,060,370,604,699,895,000,216,238,953,303,744,626,493,
093,279,814,057,261,478,870,497,644,414,364,608,942,390,869,041,498,534,419,
308,986,576,735,638,622,724,958,991,287,282,540,929,809,369,264,529,984,549,
218,870,062,719,190,826,533,982,476,583,922,044,292,593,183,597,342,410,611,
055,631,515,808,433,461,229,300,488,213,830,096,638,658,446,712,843,857,647,
891,323,735,353,293,475,691,597,582,419,275,143,895,638,671,603,495,407,931,
047,671,806,924,496,027,596,721,010,164,826,616,375,498,900,827,299,916,302,
904,395,820,256,255,499,896,233,886,106,745,675,251,488,094,015,864,173,532,
097,183,272,485,621,601,094,737,676,942,268,578,705,701,158,911,430,177,698,
531,534,194,276,134,713,485,480,751,085,183,370,261,289,073,200,741,163,101,
657,900,398,991,236,416,445,852,232,357,997,569,312,346,747,729,609,292,176,
741,247,431,677,762,232,937,813,448,666,781,253,465,172,343,134,398,004,615,
105,363,535,917,318,147,328,780,717,240,298,364,409,779,858,157,521,375,967,
558,967,046,093,471,899,454,369,239,133,396,069,138,465,505,683,381,168,960,
493,498,506,428,000,337,303,615,702,422,877,178,926,810,612,563,731,224,414,
920,256,021,054,085,832,190,647,943,325,504,938,200,167,863,113,703,876,806,
358,300,845,948,720,712,543,240,622,437,434,142,908,425,249,848,322,058,829,
786,533,459,085,679,527,013,584,024,317,563,942,874,431,339,707,738,663,187,
855,251,198,341,447,607,080,237,374,467,270,041,297,445,157,387,023,568,584,
614,768,033,238,366,076,232,667,079,421,776,648,151,620,085,190,024,987,717,
084,847,934,190,504,065,851,143,110,855,253,613,158,000,639,458,628,332,892,
509,421,168,609,799,352,699,071,658,462,558,973,041,343,682,084,674,503,057,
007,862,801,633,856,362,056,321,696,232,018,666,107,332,113,849,978,884,192,
081,090,733,031,404,816,762,833,182,696,408,920,716,644,759,067,729,934,520,
550,475,765,825,093,112,136,681,317,647,760,940,657,391,126,614,383,451,201,
338,278,771,263,325,015,038,139,711,132,827,633,332,574,693,273,566,522,827,
900,382,636,026,373,113,614,868,636,301,222,926,675,943,154,360,011,120,306,
695,699,858,173,030,788,948,075,829,032,584,721,948,594,550,883,489,338,274,
688,999,920,957,400,865,132,920,452,098,959,134,358,373,259,202,504,713,618,
922,696,655,322,750,019,592,442,337,771,851,282,151,822,552,229,888,906,299,
082,364,117,698,951,893,117,161,719,957,718,142,636,317,045,877,597,375,810,
459,415,057,631,579,205,973,825,020,598,866,580,410,922,206,419,672,359,756,
163,529,469,697,848,215,322,258,586,488,502,177,115,083,772,174,637,877,716,
279,867,501,438,007,417,516,432,572,032,900,322,469,962,575,293,215,495,622,
284,513,510,854,529,818,482,317,175,007,564,651,695,875,573,726,771,917,402,
833,737,498,306,393,311,514,528,732,890,049,784,118,716,955,740,733,488,735,
443,649,921,581,602,537,849,821,392,463,530,821,515,873,682,501,689,956,131,
719,534,726,171,935,813,609,802,471,084,644,488,830,697,655,429,124,211,144,
835,210,334,109,324,404,145,664,437,543,311,980,067,587,176,219,762,577,559,
002,623,587,148,180,499,591,110,705,453,201,709,451,000,987,019,255,024,212,
058,899,096,636,706,252,627,585,045,677,127,626,776,896,283,454,770,354,563,
309,760,222,551,244,032,059,996,558,727,016,971,875,825,337,082,760,208,092,
733,781,395,124,163,872,543,974,214,721,003,454,260,459,102,827,475,044,210,
664,005,709,688,046,848,685,548,371,860,154,822,389,023,106,174,437,069,799,
021,146,099,547,842,670,351,400,484,606,802,593,957,184,684,531,697,647,281,
165,944,778,813,327,848,995,119,574,540,658,648,546,737,491,431,126,003,981,
961,100,927,638,412,825,748,075,695,196,723,950,731,052,314,836,393,469,786,
313,601,850,988,497,588,266,967,460,360,850,814,932,119,162,703,662,753,092,
776,972,562,663,170,350,724,060,042,317,024,506,235,622,841,976,305,976,277,
805,462,654,730,044,708,545,536,928,263,274,625,223,164,326,476,898,906,762,
044,512,544,424,706,514,742,511,694,503,004,381,191,542,809,475,026,021,281,
143,543,177,703,143,738,888,503,351,691,734,660,979,002,841,300,807,757,814,
503,934,883,631,239,111,282,825,937,195,972,381,271,139,095,767,848,805,442,
287,090,229,376,633,719,359,714,521,772,503,169,379,992,930,705,461,285,549,
565,671,369,289,406,181,327,400,476,078,334,432,269,493,909,552,662,722,806,
462,991,926,710,681,247,264,637,587,914,553,049,055,791,415,307,300,613,165,
206,466,430,088,144,012,892,379,096,281,521,668,987,939,728,461,338,119,238,
911,175,162,381,736,923,608,760,709,386,887,917,020,180,649,975,447,347,377,
994,529,482,120,247,920,793,108,141,541,222,449,802,898,190,179,090,369,796,
216,619,529,903,876,375,563,746,667,795,204,534,943,324,294,150,855,459,797,
896,353,782,818,856,836,142,697,247,546,779,156,417,226,379,728,714,518,766,
354,776,297,941,219,442,970,112,980,182,123,178,453,709,450,430,003,292,922,
826,331,828,658,320,470,574,560,979,002,950,364,858,433,919,405,212,798,608,
115,397,806,506,251,458,191,252,713,635,939,171,246,724,291,638,684,130,431,
092,885,806,067,432,210,344,623,260,181,157,357,061,367,182,175,661,606,465,
076,558,431,369,843,459,132,694,720,760,413,175,995,916,037,622,710,563,559,
100,001,440,750,805,009,795,842,603,296,934,505,572,065,598,603,172,578,748,
988,850,618,382,648,123,800,301,806,384,367,540,025,462,873,328,611,267,839,
176,054,695,185,095,900,285,987,856,963,297,420,636,240,050,901,862,840,693,
229,576,513,834,689,222,471,177,249,615,726,015,511,618,733,156,596,919,552,
008,533,590,693,100,317,277,969,610,063,696,099,893,311,984,414,740,848,405,
918,107,726,650,695,441,901,928,724,598,869,416,936,879,241,519,896,590,025,
465,744,855,266,376,415,458,934,988,443,846,867,442,477,783,362,107,465,668,
179,560,986,817,174,159,655,720,962,662,201,237,581,384,443,159,533,762,850,
133,248,800,956,676,731,087,118,631,707,148,192,655,676,082,316,860,101,263,
232,924,636,880,813,362,028,198,599,886,621,164,468,900,740,186,371,711,686,
642,875,897,763,131,500,335,874,339,260,524,775,621,865,820,879,453,145,414,
611,379,606,669,902,055,265,363,895,964,838,205,454,335,337,107,235,911,884,
268,843,676,768,338,216,304,544,841,352,696,315,923,745,924,606,035,947,174,
605,862,002,914,837,984,950,305,001,139,482,228,828,486,124,804,051,989,765,
331,865,385,034,538,727,844,548,402,529,048,536,803,767,542,873,086,325,378,
886,846,109,118,108,443,690,942,976,576,227,904,750,588,878,181,808,957,182,
144,667,026,348,098,720,192,463,115,519,710,257,294,747,763,039,826,039,121,
775,603,478,274,409,022,894,795,994,516,495,159,381,470,148,149,788,369,574,
670,206,983,465,950,659,456,287,561,727,891,107,461,192,216,497,638,696,957,
031,490,173,557,088,573,230,906,718,250,623,722,783,903,166,892,825,998,494,
941,349,408,269,425,920,749,263,700,735,693,080,233,872,360,431,530,677,251,
055,294,252,400,195,259,979,092,052,888,244,473,045,637,180,120,094,234,750,
400,670,433,660,807,997,174,945,606,022,534,993,267,863,625,829,793,125,704,
315,416,205,347,769,917,089,188,592,911,156,572,587,652,732,290,788,331,190,
060,625,920,245,547,990,619,607,060,395,628,620,898,722,782,030,621,935,027,
976,063,593,658,710,858,814,991,867,400,126,118,083,000,819,808,920,374,983,
058,025,091,039,870,173,928,670,443,009,697,839,045,715,236,089,954,782,245,
465,302,514,271,085,744,083,833,785,159,594,937,488,957,146,307,774,702,167,
075,333,507,574,194,824,819,804,021,692,863,913,512,355,849,233,358,924,656,
259,771,399,576,936,960,536,316,421,378,010,870,269,858,805,628,599,371,972,
132,134,475,369,674,196,735,055,100,563,766,943,000,123,333,102,567,214,437,
172,624,439,430,393,769,674,833,363,685,305,912,725,837,140,792,019,372,994,
636,221,432,129,072,907,914,798,653,249,310,369,875,695,027,129,376,504,201,
544,909,841,056,018,327,138,632,919,087,374,847,516,638,243,500,202,241,676,
877,913,323,204,969,488,496,360,558,067,329,088,945,173,868,077,300,015,380,
616,277,328,728,371,054,158,791,569,328,074,345,734,680,998,193,607,247,257,
678,372,723,826,577,894,125,017,309,421,585,437,595,718,598,053,660,272,370,
348,867,457,149,896,569,363,670,127,236,014,719,833,017,920,617,543,383,095,
366,450,170,143,598,874,674,135,867,965,620,689,313,318,373,807,189,798,641,
058,352,178,588,861,262,080,124,964,975,304,113,148,145,678,716,172,377,153,
270,809,898,164,750,916,382,939,935,340,537,815,302,450,247,846,817,263,695,
034,555,287,975,974,520,268,742,124,861,249,438,278,188,122,266,960,150,942,
568,808,871,349,682,280,757,885,593,877,291,377,540,384,327,756,732,737,791,
034,346,359,394,427,454,108,543,964,477,070,439,410,820,486,981,841,325,723,
105,250,033,078,994,963,839,474,595,714,408,792,728,230,891,733,774,210,272,
832,203,983,399,241,772,195,692,548,756,904,455,879,864,017,058,074,848,732,
699,426,514,233,769,001,327,710,741,825,507,865,555,643,332,054,411,767,018,
789,470,707,514,603,872,373,270,491,785,006,917,270,435,619,390,779,391,851,
408,065,580,433,813,853,496,662,268,573,822,561,681,232,668,508,125,282,662,
276,690,185,301,509,288,562,294,498,016,492,939,404,352,732,511,564,920,586,
301,978,058,124,449,720,120,870,866,223,767,765,238,734,057,138,389,460,536,
052,695,729,129,367,993,000,488,598,394,927,614,818,628,614,438,397,519,781,
129,490,694,968,184,453,673,051,590,438,640,480,878,379,567,378,841,582,239,
069,646,847,385,656,934,572,733,786,671,925,847,892,595,027,388,238,642,382,
054,926,544,919,052,305,253,509,799,933,533,590,996,064,829,154,494,907,677,
151,527,839,911,963,212,695,829,941,384,434,244,608,473,447,273,087,092,028,
370,925,979,621,243,674,755,320,925,760,464,239,084,870,665,230,449,202,928,
039,842,485,543,924,272,926,221,954,039,903,209,093,793,500,601,507,864,263,
771,817,684,005,355,411,206,294,075,367,319,683,337,193,111,756,006,797,267,
804,055,448,373,930,329,962,570,931,121,268,260,789,694,968,071,994,557,151,
063,077,351,901,753,939,260,791,277,783,603,086,935,306,308,238,951,649,924,
256,761,569,792,277,564,039,777,027,183,202,968,540,404,674,076,867,543,110,
545,490,522,294,268,080,081,235,750,546,765,516,000,795,883,906,572,683,445,
405,005,228,324,025,615,663,630,327,424,739,646,870,222,282,278,997,698,891,
054,993,289,730,595,398,929,230,828,037,929,655,387,094,201,911,485,727,053,
725,496,991,577,039,664,845,799,603,444,612,528,424,932,191,811,700,278,078,
270,611,683,772,433,695,211,280,801,027,085,700,273,102,093,193,100,245,250,
364,154,053,327,613,128,391,603,359,156,253,212,619,012,344,922,453,831,698,
189,662,477,097,578,329,903,358,914,958,727,945,324,067,262,666,554,556,987,
488,120,122,351,543,205,558,895,992,424,581,808,685,974,228,051,194,967,135,
720,943,795,693,785,768,856,508,889,585,232,604,720,596,758,378,102,247,418,
023,547,055,759,110,860,402,712,350,542,452,206,875,817,745,019,998,080,418,
246,007,866,756,637,865,642,581,162,311,800,128,461,856,443,421,621,483,056,
796,645,791,700,229,136,591,052,300,957,408,842,572,619,073,615,879,987,524,
137,153,468,904,680,782,560,246,465,566,509,364,090,882,474,779,462,665,146,
652,686,550,339,047,832,762,773,182,113,551,214,144,059,083,590,783,606,142,
454,530,336,341,500,547,142,842,126,168,691,657,565,941,556,246,379,489,477,
328,448,465,595,654,624,786,789,996,142,111,910,212,470,613,836,854,516,864,
813,907,180,622,597,120,629,029,560,326,131,476,966,524,625,876,309,122,924,
113,375,901,507,484,736,550,083,588,610,477,732,607,454,663,226,537,379,714,
630,514,271,294,707,984,304,280,098,886,928,807,150,598,356,917,646,605,597,
835,278,285,496,660,869,654,542,808,230,200,925,362,478,402,945,928,629,286,
129,771,135,542,144,069,429,880,537,246,762,965,096,568,671,684,046,760,546,
446,561,087,104,632,918,693,025,079,919,667,473,784,208,318,873,847,762,936,
606,105,535,366,551,767,464,290,035,981,803,635,215,334,059,768,883,951,976,
321,502,989,299,647,421,037,942,301,502,597,263,984,158,975,800,366,221,263,
980,225,012,298,160,689,314,496,163,633,745,833,884,074,068,969,102,602,392,
862,327,420,875,792,179,364,514,760,289,293,001,378,166,138,173,955,928,761,
454,585,489,378,874,118,714,174,620,013,252,857,855,975,252,091,086,316,644,
652,091,382,546,231,351,726,741,304,094,379,218,504,419,847,037,464,394,838,
943,317,910,753,633,332,795,960,277,555,432,749,403,494,550,442,594,324,355,
349,266,416,533,341,087,778,092,506,607,608,443,995,576,743,560,857,364,742,
591,221,757,253,777,749,703,503,225,551,919,688,199,575,887,068,992,110,979,
613,354,183,853,176,682,405,193,532,064,830,025,601,763,288,174,629,453,493,
504,297,068,838,055,551,720,035,322,871,800,506,773,428,946,657,109,315,126,
819,826,983,943,936,665,907,241,314,844,676,754,450,957,711,972,642,488,271,
294,877,868,692,965,121,048,670,005,024,804,675,064,196,645,846,282,130,032,
253,434,002,822,540,814,195,439,744,334,633,683,850,466,658,261,140,079,679,
182,215,531,500,886,589,809,257,601,605,081,007,415,733,740,277,549,292,759,
311,426,120,143,650,823,921,551,810,231,918,217,357,608,151,992,801,574,187,
283,074,660,902,007,562,330,825,016,257,792,655,703,283,391,487,122,289,843,
825,388,317,015,458,339,386,175,453,687,863,071,922,029,324,975,938,984,915,
118,613,532,342,529,347,127,090,885,279,406,097,564,081,885,637,793,068,296,
902,021,456,297,849,632,537,527,953,599,818,473,042,356,885,619,990,196,367,
509,526,246,410,485,468,890,235,741,649,188,440,460,940,211,493,051,535,382,
794,513,133,657,851,393,076,015,609,515,716,078,094,159,661,197,146,855,848,
514,492,184,437,306,017,717,838,027,350,213,587,432,687,646,140,265,103,793,
748,008,661,367,819,319,000,815,232,852,913,190,082,452,295,974,368,807,099,
385,444,701,974,755,737,641,034,750,931,598,993,989,634,290,845,893,277,894,
327,837,826,777,104,756,574,435,486,047,390,222,061,865,722,620,087,368,339,
380,287,879,572,652,111,592,292,320,987,831,798,296,362,406,562,108,580,363,
755,062,678,521,113,694,183,820,502,420,516,458,243,327,769,727,268,660,558,
005,970,547,941,292,152,127,377,676,523,920,756,194,545,130,238,893,611,860,
896,471,360,007,455,527,056,444,060,557,448,837,271,746,093,829,881,381,669,
062,045,736,535,378,461,274,213,181,634,841,724,234,502,234,133,796,487,303,
370,086,242,538,811,949,742,716,527,945,193,884,649,812,284,726,078,611,015,
668,471,744,745,099,818,705,677,390,683,549,816,883,668,778,270,697,625,944,
453,199,607,273,402,203,878,453,785,224,833,659,216,825,297,555,812,855,987,
801,833,048,688,927,099,998,800,891,151,971,672,151,493,185,319,226,799,019,
552,066,633,139,939,547,631,726,559,060,305,830,830,566,878,610,741,862,346,
471,888,988,203,473,843,319,299,185,396,435,072,385,050,145,562,115,806,463,
024,364,475,000,282,208,360,404,069,199,332,641,852,027,660,087,326,235,331,
348,811,128,938,646,353,948,518,248,441,082,467,279,825,900,330,334,135,126,
302,148,237,814,226,133,865,354,532,949,258,049,653,003,833,580,480,588,456,
504,696,519,890,120,171,990,608,969,979,559,125,128,187,056,858,871,688,443,
679,331,800,093,297,504,763,111,387,511,790,479,308,636,759,561,911,308,530,
085,285,762,293,027,675,885,892,438,672,086,951,317,168,152,060,210,780,428,
732,976,998,241,434,514,820,272,049,459,994,393,831,858,048,937,844,656,436,
757,200,134,325,907,185,240,407,333,144,908,615,787,194,659,111,280,439,999,
295,628,980,390,420,122,930,630,022,122,619,481,362,460,818,364,523,870,799,
957,465,748,167,120,888,086,243,928,826,339,219,256,059,529,256,023,052,529,
560,458,676,622,894,013,139,037,890,306,463,985,373,017,815,078,023,162,890,
883,348,296,025,903,168,526,481,142,918,669,049,928,014,017,041,441,079,814,
514,105,966,605,427,001,619,770,087,488,518,219,212,753,929,411,270,500,600,
390,192,041,591,044,898,819,997,542,482,326,381,026,097,287,983,665,631,783,
562,965,103,983,892,939,746,587,237,406,124,235,649,419,430,679,463,533,393,
779,675,953,367,144,251,151,581,207,104,127,012,791,734,903,894,415,083,545,
385,566,018,612,301,044,568,927,883,676,139,814,243,247,558,806,669,605,184,
879,939,191,230,240,891,445,090,719,369,097,506,094,572,781,442,180,957,972,
143,884,423,299,876,013,164,351,925,413,960,856,051,188,918,764,747,445,094,
297,201,621,117,417,989,739,476,139,468,088,781,405,705,707,496,399,385,932,
668,049,833,383,749,585,446,990,100,727,188,968,605,082,733,697,289,642,962,
322,605,297,027,880,055,651,365,044,426,144,790,407,675,030,732,516,512,980,
954,397,111,503,700,286,669,710,588,518,321,263,823,963,612,887,856,766,201,
726,034,135,375,760,401,784,340,993,354,107,853,546,148,263,132,908,658,181,
498,803,232,126,087,960,953,854,529,502,197,374,515,133,583,651,948,577,058,
240,483,170,296,462,472,022,049,121,808,225,221,353,283,739,087,704,748,273,
630,335,767,128,040,703,664,851,330,344,475,636,014,900,764,474,548,773,167,
867,427,095,077,731,817,847,094,977,245,901,049,351,122,182,113,861,352,380,
749,307,407,092,550,240,716,173,150,136,121,974,881,909,272,655,933,934,206,
230,643,319,089,368,242,384,245,634,605,235,665,177,053,378,116,277,457,572,
623,781,280,835,842,587,409,042,937,793,397,541,722,353,434,557,477,628,897,
392,209,440,364,158,412,692,843,284,155,576,712,866,373,745,704,213,101,799,
004,044,685,562,211,252,728,651,103,569,697,708,670,567,101,834,997,899,401,
398,844,515,615,122,913,916,868,536,057,503,527,406,983,722,589,452,653,379,
626,275,343,732,627,471,423,442,777,599,196,154,442,369,890,890,591,539,229,
797,962,679,473,267,924,219,315,560,140,571,739,705,442,211,835,741,053,506,
067,894,326,684,155,374,761,534,469,787,632,246,504,248,259,224,193,129,120,
194,657,050,490,641,985,222,783,070,042,256,926,511,433,843,063,803,351,695,
099,818,309,923,810,775,426,894,855,051,266,380,957,702,043,265,163,432,798,
153,467,278,429,368,913,824,183,026,449,675,573,009,954,277,485,996,376,477,
520,166,542,516,719,964,323,192,050,656,378,136,705,922,566,124,582,744,097,
030,365,012,451,947,822,330,155,727,923,187,989,056,343,325,524,501,554,710,
693,382,677,292,175,647,650,882,299,832,550,930,331,403,324,177,445,975,938,
718,335,560,771,094,951,310,435,043,404,485,878,944,200,560,954,110,229,335,
418,651,925,810,518,035,875,590,124,263,392,524,807,123,152,157,839,232,820,
826,807,025,787,951,519,616,982,302,410,961,832,811,756,417,599,076,650,802,
777,261,809,850,851,278,202,209,590,012,969,556,698,448,801,924,540,177,343,
894,900,683,101,169,870,031,287,835,453,027,782,072,138,968,387,228,000,845,
651,673,296,247,380,552,040,312,048,639,382,915,637,298,484,746,530,215,124,
243,482,641,874,862,115,970,657,457,231,625,707,529,385,590,834,653,083,192,
043,317,154,802,438,342,725,095,361,455,630,551,655,247,924,973,272,166,865,
923,379,949,545,852,519,719,124,741,543,594,983,062,169,517,835,286,048,934,
259,390,967,828,037,034,603,506,253,029,284,496,739,759,981,145,395,073,251,
328,337,215,679,140,241,485,934,214,779,025,292,311,274,367,431,850,620,749,
674,352,800,711,630,356,486,694,523,966,720,783,992,654,008,738,181,883,071,
004,959,685,269,691,762,339,317,665,593,912,917,839,106,180,538,004,985,155,
715,683,739,820,602,131,441,513,375,921,937,513,975,868,183,889,852,663,519,
678,346,210,527,452,662,887,383,607,575,745,554,964,419,454,703,593,695,675,
925,597,749,494,685,149,564,934,468,572,204,264,421,287,068,468,471,843,416,
382,829,235,256,448,794,082,233,705,633,505,428,771,697,459,581,659,785,037,
118,143,422,784,302,892,784,119,650,204,838,769,624,781,103,673,088,101,916,
750,502,398,014,733,763,032,717,783,988,903,991,966,198,848,052,158,911,399,
365,720,030,378,858,340,227,813,184,080,321,943,232,880,141,737,895,158,999,
973,063,440,586,760,424,181,398,363,765,054,046,700,281,731,938,849,088,975,
769,099,115,840,131,384,742,292,513,630,079,059,823,547,315,803,044,041,964,
325,987,618,129,462,201,173,630,014,448,486,269,888,821,429,940,517,180,048,
586,403,189,439,741,606,808,061,160,985,881,958,342,066,412,032,858,716,530,
407,056,724,688,355,143,207,178,378,215,930,058,895,709,697,674,573,329,383,
110,378,824,695,298,132,799,326,913,930,959,389,626,043,353,369,055,803,893,
660,152,808,890,200,084,151,208,172,608,676,587,517,893,830,866,371,745,781,
314,733,761,834,493,600,533,128,213,047,867,971,443,491,763,024,302,595,046,
436,008,471,936,855,168,283,659,801,173,322,034,305,069,728,053,850,181,864,
802,391,717,495,304,926,979,236,033,144,294,926,005,381,570,530,936,227,314,
356,397,401,615,636,178,768,895,003,482,824,889,451,887,158,373,303,417,918,
032,774,072,887,276,377,648,354,463,642,337,235,212,994,363,966,119,179,643,
519,284,955,058,087,983,908,659,511,093,812,944,640,341,660,120,056,038,312,
328,057,266,386,613,108,445,866,903,550,666,931,532,848,029,393,596,892,807,
167,284,257,267,651,078,623,310,899,909,302,234,030,793,536,505,613,521,405,
404,796,842,861,544,317,398,784,513,186,776,035,990,499,416,700,880,602,507,
174,727,163,026,198,472,483,988,250,967,323,245,928,121,859,704,272,080,054,
070,712,924,158,390,921,707,435,710,277,492,541,361,686,144,560,253,340,417,
231,415,128,519,195,727,943,308,542,516,007,653,718,537,235,421,859,404,275,
701,822,177,864,076,842,148,590,403,626,337,841,336,335,533,594,035,171,836,
589,845,437,910,906,741,974,870,586,574,545,230,026,290,870,614,386,480,346,
012,548,486,148,188,569,374,050,277,725,650,897,293,716,743,808,138,655,354,
819,507,846,478,914,629,903,253,488,849,747,129,906,035,220,097,334,157,582,
830,733,810,472,181,153,486,399,260,358,076,301,112,443,003,908,919,666,846,
606,031,747,329,330,616,241,363,581,443,868,086,558,562,338,376,601,191,722,
327,383,607,740,731,691,826,088,780,291,847,489,237,431,928,009,247,903,270,
237,540,187,216,496,882,043,666,550,188,463,373,616,589,019,424,215,035,844,
138,377,076,956,839,495,434,313,609,909,324,174,564,799,510,804,456,506,238,
675,489,205,875,596,465,817,961,648,023,636,891,059,675,863,780,868,183,570,
901,981,507,644,416,189,935,955,857,681,304,299,278,853,005,529,700,037,064,
069,123,322,721,879,053,908,788,130,415,727,708,987,141,445,603,021,026,893,
371,911,962,431,675,302,331,598,248,217,572,859,478,201,806,885,456,657,434,
934,146,322,032,537,578,765,956,147,656,519,684,156,048,163,054,005,887,729,
811,123,562,069,854,534,413,547,454,416,593,485,848,959,321,669,566,755,934,
596,463,647,437,359,594,946,573,284,382,504,914,956,014,759,090,162,679,585,
543,768,991,428,132,508,892,248,471,169,752,388,492,016,097,577,400,378,875,
212,125,072,455,081,734,660,056,026,519,318,616,405,946,202,165,085,163,358,
127,492,167,698,772,171,424,139,340,768,637,128,407,008,912,098,914,187,761,
794,461,486,202,345,226,161,132,170,657,178,812,654,859,943,814,955,390,799,
315,371,383,022,751,985,925,585,717,018,888,307,312,206,980,013,813,438,614,
787,203,448,683,499,127,223,905,479,389,349,435,926,414,848,102,644,631,849,
471,833,078,888,961,339,345,156,149,139,973,948,738,866,577,583,206,158,516,
624,521,887,807,712,406,739,976,911,871,227,446,488,844,644,161,921,435,718,
630,558,501,569,725,050,937,782,778,919,810,255,585,012,760,484,778,343,685,
685,793,654,609,718,585,376,055,662,548,555,481,597,937,795,232,591,428,475,
308,159,456,205,940,035,694,006,984,305,975,248,359,510,039,660,353,185,784,
570,916,790,450,130,250,154,139,642,697,515,095,129,543,092,372,708,174,859,
877,371,072,237,715,012,544,645,344,726,360,019,382,994,658,908,351,508,866,
648,359,734,407,359,064,876,117,107,706,493,948,127,818,114,104,267,307,792,
701,832,723,097,481,986,477,444,659,476,741,092,106,390,908,898,484,199,878,
314,023,419,539,318,498,796,853,089,873,871,284,905,807,827,315,336,237,964,
755,660,367,350,028,554,941,833,740,038,272,687,143,226,925,554,541,376,792,
616,695,093,186,202,633,860,173,246,276,151,802,270,357,115,557,609,069,581,
411,173,851,671,358,871,271,292,154,070,274,688,766,226,030,275,222,702,502,
629,057,968,489,252,841,145,905,436,840,719,142,723,824,768,206,954,686,307,
244,267,090,603,989,359,982,128,540,546,968,702,931,447,600,605,651,505,274,
791,978,669,142,503,279,190,147,910,172,316,940,137,230,190,364,171,041,420,
304,800,735,000,478,345,053,509,652,629,981,566,513,166,162,120,304,276,142,
286,507,495,433,897,639,701,383,158,024,286,596,604,359,604,974,364,723,423,
609,297,322,160,593,480,875,941,678,447,971,930,602,246,991,858,178,084,565,
633,359,201,580,769,973,902,820,775,862,296,794,060,357,577,270,166,213,740,
008,596,655,482,615,116,506,385,516,190,242,688,787,851,492,422,286,134,035,
420,917,017,170,678,353,117,306,622,161,738,468,065,307,834,970,779,060,495,
938,826,314,326,329,571,522,605,535,054,812,753,696,076,810,728,221,689,510,
194,625,001,618,533,650,237,455,520,015,957,750,453,535,267,449,936,609,157,
429,223,533,517,369,477,158,836,387,728,030,322,338,024,728,581,877,670,945,
576,346,286,736,364,273,918,120,413,873,800,639,437,322,431,098,188,237,267,
159,401,441,289,113,808,896,471,494,369,560,454,377,971,368,563,986,467,364,
958,404,850,385,433,919,353,147,919,982,208,926,458,028,895,620,602,059,863,
132,164,587,765,191,596,319,109,460,530,168,298,262,226,424,606,365,830,679,
516,941,203,170,818,971,252,536,204,109,548,792,219,138,484,816,147,677,209,
645,934,386,281,074,659,581,341,758,005,500,077,387,769,976,846,961,967,369,
636,555,489,955,931,525,354,769,666,882,781,753,786,536,460,130,927,219,569,
418,762,033,371,418,697,203,400,961,236,654,832,963,162,240,571,662,106,841,
815,096,236,187,712,891,655,537,682,553,750,317,662,233,675,468,746,066,853,
840,316,519,593,795,301,875,053,614,721,893,527,442,538,942,096,645,615,608,
815,766,729,630,047,217,644,171,991,095,795,567,999,861,451,848,930,722,144,
153,303,490,608,160,099,613,337,567,461,693,302,713,187,583,363,438,928,053,
924,710,696,203,407,186,636,483,563,477,424,016,076,253,419,655,975,976,333,
215,136,098,992,386,128,455,757,622,891,301,527,918,781,087,786,257,255,315,
210,786,708,131,676,197,027,524,946,029,018,427,673,373,253,078,767,097,981,
389,819,642,450,497,806,058,327,128,463,041,974,929,304,652,500,236,399,361,
940,923,118,588,991,214,587,868,054,842,786,317,129,671,389,517,120,323,227,
147,617,247,164,126,542,640,965,630,470,788,806,386,949,265,497,495,850,445,
121,817,337,258,943,681,866,170,570,008,642,833,833,757,800,469,064,724,450,
265,567,609,316,035,540,134,766,650,848,401,745,736,089,650,318,783,340,138,
517,913,076,308,191,091,391,888,001,400,736,273,318,449,640,026,821,978,384,
309,467,290,476,903,319,586,723,329,289,078,504,291,021,263,887,622,530,206,
405,137,598,220,175,969,457,409,390,247,801,474,142,120,167,959,525,284,244,
360,139,852,953,018,204,669,862,229,893,969,345,633,029,140,220,863,007,532,
469,235,683,864,730,786,008,000,605,390,042,513,145,476,531,730,914,574,768,
953,931,808,737,813,904,294,967,719,950,124,296,752,184,410,978,231,413,604,
245,491,830,136,868,469,219,633,420,291,153,693,317,187,839,180,829,487,798,
844,381,374,099,170,825,391,012,099,905,692,503,179,862,667,435,012,857,447,
309,732,274,585,180,733,352,264,910,452,652,714,254,680,177,553,704,262,493,
602,880,168,527,791,191,438,873,205,749,760,421,892,004,080,971,491,195,917,
359,350,161,368,164,575,480,802,527,594,803,466,402,790,523,193,906,896,452,
345,088,270,493,593,824,432,349,044,051,251,476,958,904,205,089,775,050,546,
650,717,622,949,953,740,231,790,418,238,003,692,728,943,666,158,137,435,331,
263,686,563,512,654,677,256,182,560,388,760,598,024,286,414,886,850,472,563,
070,115,590,162,216,963,410,359,450,044,835,050,393,353,099,148,567,854,337,
536,178,034,907,203,454,066,411,650,619,871,861,353,265,783,204,708,434,405,
367,072,481,158,070,407,223,339,902,571,760,979,244,474,759,410,001,619,493,
299,646,304,114,074,408,799,028,406,359,748,246,887,430,882,381,356,916,625,
872,043,852,885,615,485,029,165,084,680,090,110,257,125,546,971,048,689,227,
620,991,918,292,787,875,027,180,999,374,310,516,732,510,636,309,355,115,647,
953,278,641,086,818,798,555,333,624,832,891,510,725,445,962,799,704,995,456,
121,420,416,984,357,808,721,150,092,062,119,604,507,990,670,726,378,528,813,
218,987,922,757,620,544,844,216,189,251,895,109,887,287,749,539,738,570,351,
592,707,044,960,752,572,238,193,662,463,589,802,726,465,540,756,736,128,873,
646,768,333,230,079,964,000,845,564,184,460,209,597,250,469,584,704,820,349,
427,642,702,220,808,993,010,653,701,266,717,432,578,815,717,334,092,613,615,
109,889,196,855,965,309,625,047,455,476,051,846,218,762,806,478,931,112,187,
999,532,475,072,726,551,695,661,401,885,607,498,391,165,737,933,107,401,832,
436,971,540,797,845,798,831,213,644,472,095,449,375,919,341,900,023,971,606,
369,155,148,308,697,861,438,862,196,672,055,491,064,998,060,835,113,342,903,
278,718,337,018,270,029,034,866,367,682,884,682,224,508,650,043,636,425,973,
893,037,291,892,132,470,019,785,645,419,794,158,896,547,608,409,701,678,563,
927,628,887,428,692,359,424,826,221,783,823,288,963,620,652,882,753,166,555,
683,719,117,093,486,574,539,319,314,782,698,338,454,874,801,251,569,362,156,
795,141,614,092,484,917,596,210,574,217,035,661,594,518,451,449,413,202,316,
533,895,916,083,375,090,014,217,221,733,793,969,821,740,823,300,591,839,704,
289,942,872,976,443,213,870,633,434,357,459,245,088,061,264,030,084,257,665,
757,883,181,441,548,889,463,085,732,445,875,656,411,974,684,197,084,090,171,
958,689,548,582,207,961,162,696,992,185,772,100,860,481,640,392,496,590,760,
954,035,415,318,933,557,751,964,962,150,834,398,568,959,971,725,602,678,177,
231,283,808,581,043,209,434,597,129,881,877,817,858,334,461,338,821,520,723,
591,311,711,861,886,820,434,274,162,842,879,273,052,032,098,840,336,035,896,
521,886,482,891,194,451,532,847,930,454,302,616,218,733,070,805,979,202,817,
433,999,503,253,325,857,152,540,191,622,103,008,981,240,557,851,086,803,731,
733,304,015,646,016,576,653,548,851,456,760,614,629,812,750,187,824,724,100,
737,652,373,181,180,263,967,239,893,473,585,680,946,900,189,621,519,059,014,
098,523,253,263,742,147,059,797,294,119,116,306,167,736,276,798,045,534,564,
967,965,396,514,200,887,447,300,540,904,114,411,240,826,371,370,782,244,539,
359,481,088,202,914,137,992,812,014,135,733,689,776,378,261,366,540,679,398,
841,847,469,605,864,892,779,311,666,927,242,301,188,654,883,928,585,206,410,
363,320,126,955,283,801,663,674,883,802,909,989,874,670,468,687,422,891,840,
626,030,883,233,715,638,266,028,158,325,988,978,467,882,593,217,373,246,938,
994,674,140,569,053,949,495,007,886,071,859,451,823,444,021,003,329,720,101,
719,913,623,098,572,616,992,837,071,817,191,979,238,367,738,783,749,493,054,
195,562,369,481,619,337,852,943,003,858,905,012,976,928,629,788,854,034,382,
866,017,629,258,837,447,854,570,394,701,765,118,872,221,612,698,539,632,777,
044,393,433,227,099,282,861,472,776,402,503,503,641,230,316,433,568,577,376,
430,256,009,377,118,776,695,477,059,371,119,348,656,088,792,480,537,665,752,
190,929,746,423,405,019,858,898,307,677,244,919,662,581,410,852,775,910,188,
317,050,894,394,354,375,315,378,696,433,713,768,871,572,511,631,048,678,925,
026,028,555,272,720,874,916,804,916,436,614,235,553,173,826,768,376,510,192,
804,432,461,165,555,867,312,536,948,676,707,763,474,307,718,798,699,966,138,
501,726,320,495,048,007,269,495,950,362,194,840,477,419,619,264,828,767,149,
591,131,575,397,183,528,338,320,999,718,363,735,924,290,012,376,337,192,978,
802,527,222,110,237,518,597,937,136,782,800,526,559,635,363,068,846,363,847,
231,303,041,312,670,035,791,085,778,385,189,853,046,429,523,603,714,054,398,
140,432,850,226,731,296,967,244,395,141,923,965,860,360,979,270,131,438,539,
684,218,617,261,755,289,422,817,665,607,442,763,285,440,339,824,663,158,965,
147,768,092,724,545,067,377,513,070,070,645,891,227,659,301,311,577,601,991,
734,556,598,367,160,095,122,612,869,944,055,400,654,168,799,271,411,889,170,
270,517,068,911,879,728,391,013,231,514,125,682,946,584,823,731,085,195,598,
809,049,790,099,279,530,059,418,963,599,367,584,039,594,838,254,245,610,372,
018,854,356,098,435,512,212,267,229,492,625,697,138,722,186,617,384,804,445,
443,126,615,973,479,521,868,824,942,255,913,617,973,198,358,154,553,890,718,
050,605,137,732,533,374,785,756,766,284,186,746,254,091,717,138,473,525,330,
451,922,072,165,059,468,813,018,786,859,143,082,999,138,130,041,131,076,469,
854,444,584,408,193,724,533,308,166,360,751,701,109,687,230,914,165,634,970,
174,326,213,510,382,534,066,969,497,077,789,362,674,378,600,288,341,434,841,
476,308,439,811,434,464,524,575,943,729,344,915,547,109,388,929,690,276,466,
511,113,232,572,035,715,849,597,758,500,066,109,788,796,857,781,212,065,750,
447,537,238,121,703,721,192,019,114,906,986,663,451,769,343,420,800,153,318,
568,532,441,873,113,941,912,982,598,094,814,824,131,522,318,669,953,675,775,
418,182,442,828,266,062,349,344,914,782,465,648,751,585,848,128,250,524,403,
175,459,489,556,946,270,241,838,662,771,556,241,171,075,579,605,816,626,417,
787,836,271,665,464,827,835,157,555,413,239,498,718,413,705,424,398,119,932,
479,089,505,782,087,284,103,274,588,591,831,956,069,951,702,325,269,599,795,
180,503,718,143,882,425,164,924,282,547,829,594,205,947,330,644,906,110,171,
698,852,053,122,775,396,701,900,677,455,555,323,576,728,965,286,762,793,640,
021,648,963,274,701,885,917,026,604,741,838,562,207,893,394,780,472,396,074,
294,858,207,534,141,196,296,982,260,056,041,768,871,450,528,301,551,196,331,
994,499,879,529,984,297,915,819,968,088,596,421,446,713,467,175,481,185,074,
705,978,331,387,551,693,720,982,335,683,871,760,858,318,596,230,456,838,259,
085,287,873,119,685,488,434,897,597,211,753,535,425,531,945,808,613,008,993,
080,175,718,012,761,042,602,553,211,499,639,980,592,274,436,861,525,333,749,
700,342,687,224,466,142,873,790,703,599,392,791,420,268,010,608,330,882,235,
943,380,206,672,024,765,528,537,240,021,615,784,615,190,566,077,825,576,428,
520,493,507,304,070,139,262,466,943,699,199,728,288,866,580,435,065,827,516,
949,786,894,617,077,156,236,315,134,614,579,665,064,624,046,397,696,617,397,
110,197,041,759,003,543,578,004,208,445,285,053,711,828,029,992,669,498,234,
629,230,299,623,749,083,292,507,325,594,650,130,741,318,302,319,174,710,684,
480,710,254,375,531,598,198,744,178,237,494,434,733,163,713,002,749,393,896,
691,321,072,772,016,491,648,257,739,577,956,322,843,818,662,975,298,592,239,
610,440,433,478,230,150,342,057,163,149,619,454,448,596,319,522,627,772,646,
660,274,965,791,001,140,532,233,033,912,958,042,674,584,438,238,604,326,078,
950,669,081,714,371,513,306,464,306,001,320,099,765,928,852,931,848,389,163,
953,872,544,615,461,665,312,005,516,187,282,255,574,949,888,636,526,023,177,
765,273,609,698,128,762,539,822,518,346,161,868,043,478,805,711,296,697,086,
094,522,203,562,000,041,382,421,545,998,054,576,216,985,203,714,214,360,833,
262,332,572,000,751,827,006,601,893,838,607,759,821,390,101,647,393,557,791,
121,826,189,173,895,464,220,663,490,544,753,642,362,305,552,756,632,242,987,
225,457,742,060,771,965,339,820,781,636,031,284,014,792,952,332,183,526,874,
125,119,178,028,699,808,533,829,124,192,662,182,184,481,082,778,853,624,879,
752,811,200,292,063,650,398,335,717,086,333,390,808,051,301,300,269,048,291,
058,083,331,871,379,453,835,375,064,055,600,003,389,837,111,372,255,312,793,
588,395,403,322,338,478,217,672,402,912,813,745,821,799,278,151,599,247,433,
305,342,988,355,803,720,821,076,223,110,101,572,646,119,106,993,397,040,237,
968,440,708,514,377,232,859,226,956,735,994,292,234,649,792,796,216,523,420,
188,139,154,240,993,967,494,840,430,251,454,038,878,271,614,713,572,125,618,
476,468,517,552,706,027,140,200,122,890,014,179,913,346,586,775,108,767,189,
255,903,006,991,599,233,349,150,703,357,171,780,676,190,048,973,154,279,086,
469,437,994,638,275,099,571,426,191,520,884,409,886,185,376,290,720,536,535,
063,851,577,768,675,730,951,947,114,349,420,746,860,643,713,310,206,534,921,
156,098,473,498,740,152,992,364,462,640,730,469,134,645,926,104,110,112,124,
992,809,405,432,863,772,328,222,919,529,458,347,075,332,503,889,631,475,982,
149,453,260,490,838,075,434,515,557,677,631,845,054,639,663,249,007,490,498,
535,734,203,934,708,784,601,584,928,025,662,000,104,942,599,721,653,681,843,
875,922,364,542,830,983,047,718,452,997,235,445,147,819,813,056,232,927,861,
088,122,764,038,060,112,947,193,223,547,051,442,869,039,767,128,930,399,144,
996,327,609,861,168,984,576,762,061,475,181,421,706,754,790,503,745,836,346,
937,836,634,386,936,942,868,075,287,371,976,684,801,330,374,504,880,008,624,
445,205,951,712,621,454,965,141,167,294,996,746,315,991,438,636,561,672,702,
491,312,779,615,781,380,462,436,493,852,675,728,579,907,341,517,820,025,746,
058,702,845,055,043,222,565,599,573,937,859,739,431,241,135,200,963,577,940,
328,295,192,857,591,734,453,123,833,198,392,584,773,833,517,294,673,300,346,
870,061,204,988,531,626,756,938,197,555,380,232,901,085,552,063,211,006,152,
948,250,247,233,511,042,132,172,766,360,967,658,728,662,430,387,086,995,148,
236,046,478,836,640,615,268,371,244,567,168,097,309,241,364,616,546,824,814,
519,511,023,818,443,862,154,800,250,052,554,739,097,962,325,261,457,726,398,
473,342,892,781,314,379,448,692,555,643,093,752,842,048,741,809,992,147,369,
253,457,686,902,548,650,855,553,226,781,904,107,859,714,942,576,493,262,102,
803,113,288,380,531,257,358,332,691,503,843,392,115,483,169,616,611,598,447,
543,745,294,095,470,579,872,845,301,966,580,410,893,403,411,296,912,021,074,
884,794,951,456,542,124,774,967,319,547,497,929,875,893,873,334,526,756,283,
158,896,197,234,765,035,122,682,324,684,113,197,056,251,433,370,312,790,509,
788,969,902,821,317,165,426,247,233,737,290,589,646,965,900,424,219,005,462,
856,650,351,541,478,572,914,438,952,439,347,486,314,888,835,443,723,844,038,
218,748,326,805,832,918,138,491,735,788,401,716,886,429,990,336,100,209,945,
222,927,335,273,075,599,011,520,933,709,813,859,491,727,643,657,131,300,766,
085,630,814,939,336,987,099,805,741,144,606,942,406,737,429,854,545,194,329,
727,268,563,348,860,873,197,333,180,071,559,930,893,254,803,965,468,756,438,
253,461,859,983,286,101,302,707,515,944,600,229,629,383,545,501,135,147,068,
474,185,214,527,384,427,779,011,548,353,562,987,526,104,056,145,587,526,064,
306,021,130,447,311,491,920,450,095,021,715,447,970,763,485,432,633,388,948,
939,449,283,853,880,574,691,931,783,741,731,793,920,086,160,030,449,362,617,
895,990,149,444,550,492,505,358,650,123,892,188,130,218,371,163,872,679,717,
074,029,052,570,039,034,821,735,196,595,809,508,090,802,998,286,862,013,812,
514,892,635,494,957,743,516,885,789,387,845,434,003,024,643,525,558,543,178,
558,702,926,298,327,050,612,669,944,937,830,268,034,558,592,847,348,445,627,
161,170,215,866,756,372,764,688,948,345,991,221,489,264,484,789,019,997,705,
632,139,843,750,305,004,525,354,708,196,878,929,084,550,136,303,777,351,908,
999,976,803,205,123,743,338,030,054,337,226,030,228,506,439,427,465,842,334,
560,963,405,453,785,141,118,861,081,199,146,744,408,468,414,529,812,480,579,
831,497,405,136,071,480,409,211,347,786,480,453,832,789,431,022,945,020,962,
061,394,595,666,721,543,854,987,281,268,660,104,456,407,491,868,654,571,119,
698,025,808,182,179,423,457,978,537,664,041,243,807,908,932,575,408,312,587,
873,329,410,337,310,298,583,933,313,632,655,922,704,776,896,608,876,672,106,
240,271,330,786,967,178,743,891,843,679,897,603,182,639,493,082,959,705,817,
104,031,933,241,751,342,886,660,271,290,736,902,866,654,328,448,991,921,460,
050,069,799,347,133,844,762,489,572,275,293,486,837,264,200,047,956,691,315,
080,197,281,705,149,825,790,054,447,225,340,472,096,540,629,739,606,240,704,
393,918,113,294,022,911,873,513,356,432,136,919,042,287,449,023,280,144,671,
176,422,586,149,943,682,698,632,115,826,662,037,486,815,136,775,588,008,860,
424,326,405,281,077,958,397,241,092,049,980,417,943,328,264,638,126,486,976,
702,554,698,785,014,596,183,628,543,881,752,941,235,887,286,318,256,486,192,
572,481,626,139,771,503,932,725,370,468,930,392,599,654,322,011,650,854,317,
649,933,012,572,973,153,387,439,148,991,084,664,107,039,355,897,749,355,562,
890,473,923,205,094,382,964,564,106,168,086,763,096,282,748,781,567,129,914,
730,474,590,602,113,305,114,411,443,992,838,538,082,825,406,906,481,897,401,
944,446,235,464,397,555,136,693,842,780,378,332,531,181,666,792,923,501,072,
744,827,971,684,855,164,838,573,176,035,852,884,160,114,083,182,295,746,675,
665,311,984,154,611,442,247,459,728,565,377,786,869,979,452,304,935,202,167,
662,047,580,592,230,741,758,913,974,922,846,581,370,764,931,360,897,899,838,
834,843,864,497,941,955,335,185,591,927,335,858,031,403,891,124,488,457,226,
366,217,880,746,293,394,539,682,650,608,391,203,517,290,527,624,908,103,624,
819,556,869,480,226,558,649,478,532,756,472,592,702,556,622,342,860,982,591,
184,210,859,282,452,089,084,530,955,570,379,758,793,162,196,932,482,296,925,
541,987,558,992,277,281,434,564,317,891,819,653,119,910,083,077,519,125,765,
484,196,329,145,023,064,533,221,769,806,021,024,878,222,881,096,487,634,153,
843,100,405,811,230,564,622,807,576,576,654,033,675,656,318,137,684,328,553,
534,916,480,854,505,316,238,684,432,187,213,914,223,902,301,966,523,519,593,
753,429,224,115,735,693,767,771,347,320,992,041,434,623,949,984,292,571,599,
859,440,411,507,514,962,987,974,567,167,081,628,734,564,027,300,235,614,585,
042,576,555,782,051,001,054,849,466,725,211,478,637,237,613,930,773,210,524,
134,064,304,542,132,515,937,249,371,500,969,751,862,354,501,155,133,395,982,
653,082,948,940,024,944,522,235,728,164,964,054,809,669,274,401,478,036,687,
906,203,070,712,140,048,215,758,143,852,811,782,132,883,152,264,315,141,630,
570,328,655,410,993,785,875,737,416,456,728,006,317,686,766,689,269,356,977,
190,733,374,586,173,316,126,049,847,982,437,437,608,110,449,784,334,785,850,
403,980,357,217,417,108,967,386,652,727,237,338,865,059,508,024,648,876,714,
610,331,083,316,420,393,548,099,538,962,073,879,789,850,373,122,941,258,967,
172,661,488,577,113,948,840,785,453,615,891,887,889,168,732,484,291,809,658,
280,065,235,251,844,374,408,026,990,712,163,422,399,632,578,430,258,419,377,
235,565,685,935,926,934,422,099,429,859,978,610,179,381,800,623,275,740,241,
119,635,561,776,541,499,020,845,458,587,786,724,338,944,974,690,594,430,615,
078,052,166,697,426,422,699,394,734,236,829,444,465,209,732,122,664,298,955,
251,959,769,607,615,498,560,796,040,369,795,463,226,808,498,387,658,059,190,
545,158,598,614,148,118,086,027,617,442,722,516,984,268,025,373,816,540,836,
942,665,321,290,585,478,642,692,803,966,097,794,306,812,751,076,602,888,493,
510,982,966,860,572,580,090,274,822,629,094,118,032,339,659,484,279,352,838,
010,592,198,434,968,659,344,385,822,800,865,484,038,815,085,035,464,702,237,
430,680,311,216,301,066,252,780,348,323,225,708,220,131,227,192,883,546,078,
770,170,534,687,710,706,039,880,115,590,287,346,004,887,533,353,745,863,844,
883,271,800,033,127,480,899,957,164,064,274,163,683,012,059,838,791,400,035,
794,590,664,907,299,138,884,271,714,740,617,347,120,659,079,663,852,397,818,
452,177,204,835,905,376,829,864,017,783,026,945,957,618,801,910,088,309,465,
220,738,110,113,389,478,808,155,073,947,075,193,434,719,918,353,357,830,589,
994,024,405,618,562,241,686,518,044,836,743,067,102,175,084,596,529,406,172,
334,854,375,439,769,771,744,034,603,745,056,235,998,858,869,243,700,188,471,
583,762,128,656,208,778,302,681,784,949,355,889,471,146,506,040,691,416,983,
560,958,860,181,099,162,833,717,036,499,503,915,916,666,305,251,463,661,274,
137,788,872,355,072,349,409,865,975,823,054,497,415,825,180,643,947,303,579,
752,538,466,553,168,923,373,672,495,875,491,825,681,193,800,952,895,233,876,
708,163,442,925,082,098,525,157,586,323,602,160,681,355,426,057,263,015,254,
270,869,512,293,440,458,221,153,501,290,974,449,693,148,649,049,125,077,198,
477,521,626,867,613,168,117,082,620,075,441,024,267,635,324,834,748,289,754,
623,290,328,520,314,623,571,781,844,814,620,614,508,458,456,386,212,432,898,
217,536,609,461,768,448,565,461,659,159,247,348,654,782,800,821,754,976,890,
902,425,765,486,010,718,113,956,751,391,655,370,028,352,552,839,399,160,057,
408,583,192,034,666,214,678,455,768,633,166,699,453,911,743,845,737,105,426,
722,913,686,169,811,412,871,321,410,657,680,976,349,035,134,425,420,427,125,
933,421,673,726,906,493,793,930,860,403,476,683,744,849,119,637,815,998,613,
197,078,532,489,701,416,636,541,973,281,300,511,749,243,268,156,237,843,674,
544,352,490,308,599,262,509,082,094,359,662,441,047,390,377,270,050,612,864,
063,946,316,547,064,304,834,655,023,797,936,007,665,781,441,229,542,207,619,
922,914,852,066,234,915,525,591,892,394,777,002,536,963,408,341,981,520,312,
322,963,863,048,332,535,091,918,502,113,332,404,874,232,341,320,542,840,651,
056,561,384,242,566,510,072,955,109,734,661,260,549,209,240,643,513,759,343,
896,953,703,836,234,781,127,519,218,276,363,224,422,915,090,989,942,308,223,
931,475,847,554,302,221,903,773,880,443,635,810,396,677,086,851,347,090,179,
946,459,178,959,458,608,611,000,719,624,974,057,543,643,695,192,465,722,880,
361,694,304,675,980,203,589,753,834,988,519,546,093,841,790,686,963,007,138,
701,389,379,656,772,811,624,453,647,936,459,482,519,226,892,357,653,167,591,
105,079,954,918,355,471,977,449,845,672,312,268,444,235,852,858,011,084,021,
845,957,259,851,712,521,157,862,558,117,687,414,046,012,691,547,775,974,771,
927,873,685,781,111,708,418,709,516,420,693,330,367,531,016,678,843,617,788,
165,127,665,296,136,907,467,371,342,007,467,641,569,099,027,472,033,160,260,
832,828,627,915,210,941,184,577,750,800,018,901,659,452,895,773,569,169,609,
163,414,607,050,224,454,697,869,821,776,971,002,983,917,728,383,612,115,255,
439,278,168,343,964,375,512,840,498,319,587,658,722,407,836,514,777,347,037,
266,883,887,263,321,589,294,112,708,288,874,976,822,866,668,216,177,985,167,
488,409,807,745,837,773,751,929,470,437,108,902,943,783,424,467,345,752,731,
711,372,760,510,269,090,827,646,758,794,935,952,825,755,290,063,545,272,682,
690,687,142,871,933,092,011,262,210,007,563,965,538,705,608,081,942,385,185,
807,529,210,750,705,195,995,752,427,614,894,831,024,049,867,383,675,399,339,
650,419,135,748,053,515,137,035,025,508,718,692,767,451,986,962,004,621,337,
695,522,490,534,312,229,705,642,349,701,808,386,295,450,427,826,522,585,231,
405,827,830,152,521,741,019,525,819,433,236,497,045,595,784,317,400,577,530,
956,861,043,583,536,422,650,357,408,726,341,792,806,640,003,069,254,419,845,
234,941,375,448,996,902,054,608,775,659,579,194,473,853,664,207,357,665,714,
820,438,325,942,412,508,512,521,831,166,844,928,865,852,255,592,349,248,090,
848,685,861,994,445,598,473,720,347,258,611,694,129,421,607,894,549,615,900,
988,965,792,365,937,386,102,118,379,988,272,663,593,094,720,854,642,813,452,
992,483,991,706,241,566,539,534,919,355,587,710,793,139,462,166,204,705,505,
933,788,118,408,202,250,597,940,123,753,619,449,944,574,057,147,836,898,501,
586,210,420,655,093,942,695,728,842,649,181,613,277,014,455,648,936,526,667,
988,208,957,217,022,430,495,120,602,875,489,672,953,315,632,772,299,557,458,
244,721,555,834,782,873,321,792,165,572,214,384,739,482,396,269,205,623,432,
321,766,720,158,629,764,894,740,702,843,270,238,068,596,270,332,243,716,902,
015,084,356,254,434,258,817,392,332,624,251,927,285,080,543,783,845,172,518,
250,715,190,237,025,245,398,366,979,654,769,335,190,546,391,971,526,746,607,
710,358,740,489,464,791,151,752,806,446,531,364,049,631,033,363,011,895,814,
580,799,241,449,260,458,351,408,118,768,478,368,636,955,164,995,156,458,125,
371,809,547,933,659,326,036,802,004,751,722,555,222,456,213,809,285,612,802,
883,100,184,133,329,876,838,117,750,799,802,068,258,996,446,527,475,646,503,
777,130,126,012,942,040,955,995,046,407,377,381,327,097,182,325,301,355,670,
905,156,968,877,298,981,672,747,610,152,242,815,283,923,797,975,611,979,270,
340,989,168,757,279,872,710,758,646,826,528,478,708,603,485,542,005,763,400,
244,587,092,199,928,056,132,389,625,171,737,215,993,998,894,971,535,652,885,
860,842,130,127,107,240,687,386,429,691,583,819,666,883,999,451,057,321,435,
149,658,390,808,534,765,449,232,833,885,647,231,403,793,675,377,262,698,433,
078,669,863,435,727,152,641,862,602,084,276,162,925,555,390,215,002,806,969,
489,246,768,242,129,465,086,954,965,460,500,210,126,434,271,499,229,558,462,
934,401,135,430,494,448,519,929,451,591,499,857,295,246,411,899,908,694,207,
923,058,263,711,350,559,710,080,173,957,841,572,726,098,305,238,231,239,915,
453,545,901,153,979,714,513,042,213,453,872,732,943,741,720,209,417,030,390,
035,950,150,609,109,940,297,646,344,933,624,684,220,809,661,722,059,951,609,
817,526,456,220,290,721,194,792,806,004,136,626,594,718,314,677,374,264,273,
655,313,012,637,669,955,013,476,376,533,468,063,318,205,378,423,470,427,044,
522,809,463,999,977,922,491,870,053,625,291,227,762,194,996,170,215,478,618,
804,194,626,773,849,724,664,499,778,399,498,434,633,666,589,244,949,896,924,
430,210,665,114,631,922,772,310,792,290,894,151,876,715,735,060,023,852,840,
226,408,002,954,007,558,216,400,803,227,157,012,219,132,968,277,438,104,652,
663,963,686,240,146,962,448,017,178,367,677,225,738,965,846,566,827,635,830,
204,565,037,705,686,269,270,332,763,136,492,002,101,366,795,202,550,800,602,
132,241,162,232,505,155,465,294,562,092,132,733,324,762,118,726,325,328,974,
343,117,454,620,322,000,697,835,693,950,904,669,035,356,724,560,284,732,065,
373,143,104,436,045,523,010,357,183,105,772,166,618,707,705,848,966,977,632,
425,884,316,011,996,390,274,642,391,118,536,194,647,756,117,767,418,585,634,
885,135,411,732,745,520,627,432,586,882,560,178,897,161,193,716,468,005,443,
056,962,427,242,808,483,398,015,711,791,798,978,891,406,109,665,419,726,782,
888,326,134,765,613,928,444,921,945,970,890,367,836,441,433,929,846,938,670,
959,097,483,600,925,318,282,222,883,715,838,096,932,367,134,695,972,303,006,
261,593,752,219,857,814,918,688,713,560,057,578,567,820,092,725,404,211,466,
360,158,535,557,765,209,116,784,220,772,785,046,895,647,621,387,111,249,210,
019,113,120,836,920,683,975,219,629,300,437,458,651,353,480,184,489,141,368,
114,397,168,904,303,153,797,668,099,495,071,622,878,733,223,119,237,417,721,
434,503,983,310,105,238,942,999,655,968,846,084,482,352,860,363,642,912,032,
602,829,336,297,577,800,588,115,915,208,720,562,580,910,947,480,528,914,202,
752,646,188,464,381,862,532,408,717,306,604,843,893,446,621,096,500,559,223,
944,620,535,319,379,551,151,472,116,357,006,961,150,649,235,614,279,112,074,
404,828,533,879,537,662,117,833,875,291,541,297,473,897,872,634,801,665,033,
670,665,671,938,748,098,631,160,409,114,786,068,988,845,789,635,549,662,297,
840,484,370,521,578,138,942,418,187,818,622,359,479,905,658,239,265,152,340,
785,892,410,156,492,637,065,192,715,743,518,119,519,752,830,874,689,800,297,
902,297,811,868,188,082,753,327,033,989,624,809,176,652,235,200,009,601,328,
536,181,274,753,912,307,203,774,904,870,438,214,437,791,156,403,696,417,378,
841,416,756,829,685,126,868,297,453,289,417,008,068,786,741,784,851,678,604,
936,538,518,717,809,949,539,081,050,634,535,095,001,692,509,459,604,263,498,
593,620,504,675,874,337,010,829,547,761,768,194,424,608,290,221,522,486,487,
289,045,901,765,630,147,494,551,303,285,655,844,241,870,383,538,799,267,677,
613,702,058,912,356,136,123,963,323,787,506,376,866,125,804,498,470,149,934,
012,495,015,396,675,969,032,901,226,705,476,697,499,419,675,909,554,834,784,
808,803,730,130,580,490,465,265,713,724,189,562,733,075,564,836,749,221,239,
436,314,178,227,558,388,474,836,500,246,887,777,529,665,571,942,247,962,251,
494,685,513,421,395,338,249,734,713,727,136,928,352,771,369,598,105,321,305,
283,046,157,969,053,607,045,395,493,401,638,557,890,726,918,477,896,374,192,
708,335,461,601,144,128,590,611,623,489,360,755,024,876,134,207,112,548,108,
461,585,433,720,463,742,416,674,221,290,385,472,789,945,461,434,676,766,937,
007,708,769,123,786,034,164,157,286,704,999,263,283,413,818,426,506,241,840,
301,112,444,672,059,909,748,581,614,343,392,234,689,370,965,125,078,615,006,
018,344,272,971,609,163,351,497,251,771,198,501,736,444,188,875,089,907,764,
280,342,164,345,963,163,177,885,693,765,579,193,339,392,369,663,876,036,628,
157,086,265,631,946,679,902,619,514,232,536,706,405,142,031,628,242,273,181,
329,393,804,232,331,868,411,802,892,348,233,240,579,580,096,846,667,737,881,
381,712,740,123,041,782,103,807,311,104,445,538,929,299,444,666,295,218,060,
472,255,637,221,820,491,623,990,465,013,436,574,480,706,242,479,001,031,196,
757,629,766,099,109,684,363,836,417,457,068,295,629,483,978,239,454,269,736,
520,890,376,204,441,876,676,678,599,532,011,495,217,633,350,001,660,908,327,
126,834,236,558,057,499,834,150,712,671,012,859,634,921,624,453,690,673,174,
648,946,919,776,273,828,876,442,920,569,503,279,358,038,719,809,635,301,811,
861,571,640,736,932,683,196,703,771,759,711,443,058,496,122,604,595,869,310,
664,178,171,668,577,674,291,592,008,418,973,249,343,255,595,169,921,919,857,
739,978,244,155,646,271,759,101,072,412,757,932,797,445,103,432,648,805,183,
995,393,973,799,183,710,595,737,420,143,828,288,480,541,238,804,592,226,365,
733,937,878,716,929,139,810,855,745,057,320,727,286,582,217,916,598,725,976,
652,504,451,156,602,177,538,760,194,766,729,540,679,044,473,078,327,285,942,
797,974,345,925,840,425,852,469,678,681,719,707,731,570,734,617,113,871,969,
666,224,630,069,341,872,089,338,100,395,110,497,300,704,939,567,213,232,672,
902,574,792,768,043,543,276,890,058,866,810,907,290,101,492,030,648,063,945,
970,400,924,803,678,987,681,113,659,641,308,713,671,918,915,793,058,218,216,
943,698,391,936,770,308,172,144,665,899,529,119,870,855,962,665,082,498,541,
536,638,280,866,693,928,685,181,926,357,173,874,052,978,293,079,599,693,185,
070,119,569,661,308,585,139,561,942,456,645,121,864,295,515,158,874,286,563,
175,077,592,424,301,387,781,088,627,921,212,388,799,081,798,963,244,484,876,
781,263,578,489,422,818,102,159,296,893,076,781,290,698,494,687,279,284,407,
180,506,132,202,182,191,243,500,192,804,410,475,657,289,413,815,017,712,505,
793,383,945,012,606,038,953,269,848,928,795,964,263,235,251,864,468,473,515,
775,662,761,125,626,752,288,841,448,308,595,490,378,763,951,226,575,132,685,
860,757,466,939,990,439,319,495,266,432,977,842,297,787,573,481,905,967,707,
713,634,554,846,728,997,041,882,076,649,667,396,312,639,079,045,749,079,625,
201,799,679,361,586,421,361,648,714,492,507,566,045,574,073,761,347,852,119,
429,316,774,928,155,085,933,714,545,023,435,039,665,762,130,761,627,343,664,
508,259,929,722,567,799,254,051,831,100,441,454,498,315,280,295,902,305,296,
171,973,960,857,266,497,299,816,893,142,988,916,945,709,172,258,154,745,860,
082,890,522,926,834,836,495,196,496,816,681,204,861,224,438,124,127,654,778,
682,102,244,890,928,805,245,543,727,057,441,360,053,833,761,662,188,878,798,
973,140,996,931,306,526,422,506,831,569,866,111,399,627,662,545,561,433,892,
050,135,455,894,030,717,353,337,887,634,306,713,643,895,641,718,031,053,072,
399,208,482,923,740,769,020,738,162,995,176,389,666,451,079,068,141,030,172,
763,376,199,485,082,887,625,380,460,050,036,113,473,346,295,270,403,121,159,
261,551,695,618,711,042,148,170,076,052,145,599,912,133,384,838,201,781,317,
444,593,595,723,937,176,039,670,238,226,636,775,279,361,583,330,423,034,164,
112,808,520,027,939,945,026,236,082,266,775,666,863,515,407,317,452,419,676,
148,236,297,467,598,718,798,820,157,522,724,181,146,508,216,008,389,675,379,
551,875,974,925,239,053,710,123,943,077,444,561,752,719,458,263,357,521,733,
773,268,786,753,063,304,290,515,049,590,314,776,135,946,818,193,342,686,586,
417,119,411,255,754,604,720,902,130,573,881,349,995,683,555,052,688,947,255,
098,351,746,265,738,899,887,609,985,618,912,894,934,285,827,739,131,299,108,
279,908,180,235,935,169,753,656,617,798,753,851,558,060,915,833,795,903,735,
475,612,339,334,508,205,511,935,101,132,320,821,844,265,343,803,256,309,771,
974,801,972,481,474,698,492,755,995,266,081,140,799,623,750,923,783,289,886,
885,456,551,200,561,418,509,300,654,453,962,780,735,370,802,588,043,325,583,
454,297,016,807,376,313,617,396,282,198,225,351,693,348,430,739,170,666,227,
354,416,171,750,122,474,596,212,544,921,753,272,290,200,439,822,869,137,305,
350,694,968,955,192,313,901,282,288,313,825,319,605,720,794,549,137,288,463,
915,967,200,074,282,939,897,520,229,088,040,378,284,822,597,772,236,926,504,
325,152,553,382,264,823,161,089,619,986,600,582,706,164,601,502,457,325,287,
111,803,627,680,666,556,991,116,561,777,566,165,871,081,423,041,053,730,684,
023,427,976,382,330,510,329,899,916,071,949,138,468,737,210,589,195,076,726,
116,315,455,324,852,985,559,663,430,472,014,347,377,348,949,323,508,690,035,
309,528,671,218,555,702,314,815,189,753,772,715,395,060,894,702,813,841,758,
520,822,789,817,288,709,363,247,639,072,706,422,186,644,405,133,868,325,160,
695,856,864,975,988,822,362,924,667,542,616,194,623,985,999,957,415,475,621,
998,030,688,949,098,186,585,746,048,368,322,120,400,337,085,598,607,482,105,
113,354,954,532,230,483,091,370,142,968,903,832,270,194,445,805,490,375,113,
754,936,398,026,906,852,301,991,920,065,512,717,545,193,665,735,533,874,378,
972,119,993,564,071,674,911,637,548,673,828,346,564,552,826,061,865,183,981,
688,736,776,624,231,088,897,563,483,568,152,638,174,468,890,124,766,670,124,
571,773,162,781,054,291,729,750,001,863,505,261,405,275,142,216,756,484,308,
862,408,737,644,217,712,553,043,065,136,507,394,934,370,630,850,028,479,623,
860,882,761,087,766,675,143,204,626,891,889,250,373,546,719,925,226,047,294,
455,326,917,491,979,137,022,059,513,294,865,735,284,855,687,888,445,526,186,
727,811,875,915,268,975,873,984,623,196,148,193,208,915,152,596,709,919,387,
369,615,261,955,817,090,747,587,216,727,090,544,916,492,381,295,034,977,525,
300,602,088,515,937,083,677,165,054,486,413,850,737,329,991,493,345,557,988,
454,295,365,980,654,151,553,874,718,516,165,279,766,656,248,271,607,321,904,
292,659,946,430,936,949,709,310,061,171,179,653,471,295,551,320,236,721,843,
308,716,036,003,747,373,421,633,679,773,163,778,326,229,070,796,488,059,094,
587,216,531,661,183,223,485,481,475,792,821,879,330,333,792,625,517,453,718,
931,605,488,305,870,735,397,205,471,552,702,116,001,888,560,770,873,197,918,
026,692,149,057,269,599,529,715,432,022,436,525,088,179,791,683,819,609,727,
901,543,140,731,116,224,275,705,613,966,103,770,298,511,025,987,257,143,327,
543,723,546,011,831,089,048,730,852,602,282,345,906,955,154,204,498,369,708,
860,302,190,305,505,579,213,338,122,141,172,750,133,244,838,107,128,465,857,
540,876,217,850,862,226,439,869,950,051,523,727,912,543,454,175,520,661,667,
352,621,803,294,225,647,028,118,464,451,882,639,404,527,931,883,409,618,578,
300,239,249,500,258,731,288,175,271,706,975,268,569,780,116,322,280,844,219,
897,138,776,381,861,249,817,475,684,055,439,267,908,895,883,981,858,324,463,
367,122,618,052,533,690,300,029,414,195,443,871,927,171,597,971,469,077,535,
201,405,099,692,281,419,122,857,954,267,556,766,169,138,427,496,657,051,610,
834,919,854,543,529,159,690,603,842,835,559,746,153,209,340,653,798,684,222,
773,637,383,830,725,617,345,136,976,706,018,333,543,689,229,928,027,597,775,
089,872,678,890,577,263,242,967,502,270,779,745,247,294,111,151,181,218,293,
433,548,612,904,356,046,260,432,732,079,435,842,121,002,954,465,792,165,749,
431,742,255,278,463,432,874,096,837,713,311,826,774,514,104,384,219,609,790,
647,930,700,423,031,872,172,854,703,985,963,423,833,183,824,242,964,991,025,
351,428,147,661,241,467,718,807,488,151,690,202,306,594,531,147,696,205,426,
773,351,880,445,781,926,681,890,034,526,304,803,990,905,244,803,028,460,756,
375,094,400,637,997,305,310,292,318,379,040,758,950,075,025,242,258,651,631,
668,771,567,022,590,602,073,519,676,825,358,767,618,204,387,901,150,785,387,
966,654,469,525,149,999,968,360,438,269,255,510,252,132,165,662,468,057,766,
035,191,532,245,072,365,596,014,206,730,205,912,352,626,140,477,677,713,668,
990,105,586,679,749,143,433,420,811,499,677,240,296,966,759,586,591,093,641,
309,763,318,508,677,675,676,342,533,723,307,707,016,791,490,580,207,114,701,
483,289,081,923,317,254,478,101,676,663,900,562,070,042,826,988,870,660,278,
440,579,097,024,933,214,621,931,486,005,642,093,899,418,804,721,713,700,482,
878,194,122,469,848,700,491,112,058,408,838,240,978,951,063,090,211,560,133,
129,106,008,089,656,725,642,795,816,077,406,059,184,986,913,504,012,116,013,
252,657,485,350,324,274,629,506,265,644,365,943,917,100,371,317,223,999,751,
900,335,108,739,428,501,536,562,460,883,499,827,445,007,578,776,756,148,242,
409,732,947,069,215,493,047,273,388,336,718,331,765,888,671,896,732,956,851,
323,931,274,946,590,832,328,948,426,081,203,722,727,365,774,880,865,298,516,
788,348,963,703,098,821,377,440,944,884,543,105,632,472,735,270,365,454,007,
744,940,758,118,771,242,937,019,454,988,759,774,859,819,558,021,855,702,964,
737,267,444,697,243,990,339,072,301,013,944,070,707,261,941,083,740,863,514,
198,184,502,724,616,542,279,535,816,624,153,651,319,915,349,724,751,778,738,
751,875,243,643,358,988,375,483,701,073,476,386,844,578,492,661,520,274,202,
716,761,048,439,777,074,156,813,528,935,206,940,689,061,120,123,128,661,411,
972,924,214,907,485,060,438,937,747,347,686,487,449,722,923,423,339,524,505,
801,003,557,730,077,191,285,267,320,514,000,760,092,878,516,243,529,740,255,
741,296,785,898,432,042,013,188,652,920,847,397,212,402,625,361,645,718,752,
042,773,872,578,801,710,695,526,467,490,819,154,332,248,307,832,060,838,248,
877,701,674,752,796,172,736,298,276,117,190,034,798,519,347,079,283,897,963,
263,298,021,317,801,962,613,641,029,841,585,307,412,355,549,123,304,846,946,
454,752,213,740,116,854,941,425,861,195,856,684,928,385,337,009,853,085,636,
624,225,648,254,955,924,536,760,865,364,171,235,864,130,233,337,712,457,561,
996,075,938,320,593,513,055,410,705,600,926,581,350,697,190,886,348,323,037,
542,726,785,110,277,655,045,047,635,972,802,050,742,919,530,433,156,090,503,
660,370,016,264,956,162,859,416,867,216,489,906,763,928,878,995,287,951,881,
182,939,498,768,108,477,110,343,614,180,013,334,402,849,273,311,628,926,006,
064,332,543,257,883,101,092,242,536,184,212,759,321,995,833,042,269,399,174,
749,898,097,688,780,866,724,262,621,569,208,088,004,809,614,616,424,517,480,
973,399,659,903,026,660,061,092,819,956,812,296,382,659,750,728,061,292,764,
967,571,993,525,576,742,137,136,611,297,070,828,626,810,632,636,397,534,791,
905,126,820,381,654,800,708,934,312,565,720,309,351,025,302,983,415,817,892,
330,090,770,146,558,962,787,737,573,921,427,529,828,832,165,613,681,828,530,
286,744,865,119,135,811,418,823,068,558,540,397,735,930,798,669,585,814,722,
773,512,220,285,361,726,091,562,120,223,838,252,895,472,139,959,037,578,355,
956,977,131,795,096,889,776,150,850,627,885,819,182,031,704,945,563,837,553,
678,697,503,893,468,645,694,428,483,946,942,866,034,114,437,291,283,275,510,
404,541,761,012,176,389,982,869,191,190,637,917,218,601,855,795,714,827,472,
227,981,673,690,692,504,414,132,665,138,953,107,236,630,134,048,870,024,693,
469,520,339,044,068,275,812,817,379,602,492,069,779,095,174,414,623,601,261,
899,796,248,668,615,442,173,188,506,316,942,127,189,357,557,088,200,579,848,
794,745,359,407,656,689,903,214,698,940,223,938,287,599,266,725,491,426,717,
495,854,610,205,666,131,788,211,057,471,878,699,883,740,756,408,740,091,429,
483,067,544,921,344,668,636,543,060,600,783,320,722,590,969,493,729,826,088,
663,715,285,049,735,975,342,476,392,499,708,853,998,496,653,633,554,362,288,
938,843,654,302,276,261,649,315,959,280,028,093,904,446,304,851,720,754,721,
211,300,000,253,580,858,997,906,177,032,059,767,862,579,563,659,272,039,416,
655,417,870,863,988,766,555,090,841,747,154,392,705,034,098,601,411,743,371,
275,431,581,611,004,865,501,639,687,367,739,591,243,868,823,615,866,099,009,
421,078,096,187,066,750,629,891,708,601,043,423,529,278,283,445,731,927,226,
482,966,726,276,516,897,180,483,876,172,831,997,942,269,560,563,784,424,914,
132,482,499,550,375,363,751,538,761,686,105,907,075,441,464,032,169,933,921,
918,230,942,813,035,633,605,300,229,916,226,022,048,342,320,749,373,045,616,
569,784,638,972,374,606,569,670,283,188,389,223,470,412,655,312,619,559,115,
902,985,004,874,907,388,101,449,937,571,553,808,580,527,755,861,267,024,416,
071,644,207,985,811,992,544,230,798,318,605,317,374,747,204,724,876,413,161,
284,274,725,013,527,673,924,075,093,497,715,637,751,876,454,542,304,449,869,
844,658,643,743,090,755,642,009,541,027,333,044,580,784,943,290,181,856,918,
774,747,285,304,146,406,477,256,725,480,185,777,127,441,215,371,370,864,424,
695,239,851,090,153,360,359,659,178,489,113,520,962,859,769,785,032,333,343,
407,832,566,101,589,313,609,135,256,011,985,096,766,883,613,526,982,083,210,
872,707,780,317,380,033,590,959,051,263,151,943,917,034,850,521,103,480,786,
554,420,365,737,313,033,097,221,821,422,457,751,789,079,489,012,108,306,530,
859,492,153,349,194,341,478,889,917,935,077,168,166,215,565,896,602,849,181,
483,979,163,250,836,974,289,286,629,487,707,365,352,795,145,275,945,616,868,
097,774,898,721,786,105,982,813,372,561,214,799,222,725,619,715,425,651,196,
803,380,667,363,043,846,713,215,998,211,433,525,989,703,568,395,903,275,137,
210,997,629,464,461,270,966,900,526,267,558,197,301,265,096,438,137,744,339,
962,328,898,566,968,300,016,577,160,956,288,300,712,533,559,538,022,833,073,
716,904,334,986,389,970,221,195,072,151,878,821,662,757,179,419,392,710,468,
934,044,414,573,371,126,344,632,003,457,402,782,671,942,694,749,402,229,938,
358,379,027,525,799,613,669,097,337,237,907,445,293,221,663,688,365,779,501,
364,217,606,172,759,106,823,038,601,329,780,333,156,048,037,887,558,376,581,
169,713,185,961,540,620,800,232,900,504,455,141,317,837,740,219,169,948,545,
913,939,925,269,078,939,896,423,307,020,900,382,659,927,844,046,722,858,849,
895,455,584,318,060,585,635,397,888,134,216,545,964,687,782,228,545,151,862,
080,949,710,053,527,944,984,344,537,537,670,393,017,444,934,779,096,834,340,
213,299,773,732,102,257,450,142,896,181,192,955,675,952,932,619,850,822,344,
562,496,925,971,526,866,294,032,051,145,560,157,600,261,952,144,352,077,536,
687,254,583,739,165,012,341,319,953,360,230,488,078,374,439,724,518,381,799,
953,779,430,235,902,220,615,132,575,543,713,471,246,560,285,537,519,797,367,
604,883,220,378,395,939,895,662,240,860,137,721,189,503,928,509,199,191,120,
950,557,821,058,620,905,725,772,781,054,040,799,905,061,724,241,529,997,200,
778,774,032,395,003,080,684,440,491,817,743,205,888,568,344,315,208,935,041,
685,149,038,322,492,187,224,210,113,684,254,319,731,301,776,429,289,439,746,
166,204,979,362,101,626,265,917,453,163,677,006,510,461,338,336,917,194,757,
232,912,761,053,999,135,341,255,758,961,535,783,565,531,552,853,804,280,225,
530,690,483,042,444,803,625,950,978,735,032,331,817,426,065,448,675,745,766,
077,100,012,869,258,607,744,763,144,749,187,707,778,010,934,817,646,958,087,
420,382,469,857,131,995,307,050,416,301,316,086,520,355,507,868,133,869,541,
429,136,886,600,164,077,832,005,672,973,694,474,313,360,060,358,988,033,816,
274,579,116,352,512,670,183,910,043,535,480,908,289,732,098,532,977,623,104,
034,416,072,310,828,661,871,602,545,241,162,703,511,772,713,901,629,125,806,
107,781,908,577,447,123,647,419,807,327,329,524,678,364,629,623,976,647,367,
440,026,593,672,054,093,092,463,474,863,055,017,992,177,839,054,928,282,139,
904,478,040,683,660,393,468,692,786,542,377,906,030,329,254,055,236,664,885,
288,983,941,784,632,885,230,746,849,740,839,549,446,540,025,370,891,642,714,
178,952,048,986,435,407,431,515,789,558,365,334,512,605,054,093,036,462,041,
427,546,192,907,824,047,787,491,205,748,273,333,337,292,328,702,850,586,386,
569,831,308,603,735,826,388,683,324,743,534,715,379,942,943,786,769,164,846,
720,339,325,868,415,280,941,826,271,231,626,072,396,407,811,786,759,293,057,
367,508,042,529,091,701,467,309,066,756,313,757,422,543,281,424,614,592,383,
214,507,403,063,431,727,869,569,781,836,605,347,212,916,860,510,260,343,916,
223,434,913,580,485,822,212,278,738,020,888,578,607,431,505,030,457,869,253,
768,254,585,093,474,086,647,380,508,278,280,709,474,324,369,942,358,273,630,
472,480,440,263,779,693,763,896,132,190,959,040,321,293,215,319,511,248,512,
954,993,417,691,939,924,688,884,028,738,181,330,038,536,397,969,762,663,532,
504,148,449,041,761,831,191,839,559,991,764,066,977,938,762,388,942,367,173,
837,210,626,452,417,303,199,812,312,983,271,234,972,955,866,971,141,787,571,
198,253,324,410,256,122,651,226,119,815,902,708,534,804,848,811,087,590,391,
050,501,011,507,083,723,198,995,872,468,029,013,636,146,803,041,411,417,573,
704,215,389,005,487,580,668,059,714,811,786,773,315,619,026,234,208,542,416,
858,094,026,678,653,936,945,284,413,239,860,785,880,266,038,404,992,886,130,
467,572,581,394,563,443,426,875,911,750,704,607,137,331,313,604,970,384,042,
544,270,900,569,238,738,202,720,260,669,342,810,576,912,430,434,067,757,542,
935,239,422,475,612,727,238,086,295,049,750,126,177,047,907,204,877,198,580,
374,538,650,984,957,430,257,754,730,384,932,854,656,905,072,316,563,750,977,
585,934,791,789,247,019,215,519,542,221,018,869,219,771,516,105,853,900,285,
921,864,221,885,926,896,089,419,877,261,385,480,208,050,200,412,298,455,970,
870,721,596,029,815,139,942,281,753,037,024,350,664,497,541,685,010,351,297,
691,627,458,957,549,606,908,992,615,687,638,966,698,031,447,080,025,982,129,
242,179,111,808,162,444,011,576,522,578,955,653,069,909,623,159,109,444,609,
156,353,974,560,753,221,850,251,282,219,802,822,118,513,473,211,923,910,459,
346,526,970,880,603,940,713,430,090,722,139,895,299,668,259,036,099,132,981,
035,208,532,261,315,510,227,234,880,868,608,694,456,514,702,285,935,453,221,
078,367,893,297,133,322,873,562,854,662,763,928,202,647,911,884,052,765,238,
915,576,725,921,305,936,589,398,021,048,423,634,100,197,488,653,054,252,675,
688,246,776,773,201,756,119,639,936,062,557,767,868,078,124,428,423,179,318,
072,835,554,269,546,869,053,791,531,300,816,018,362,765,861,507,299,550,615,
934,844,349,643,932,716,860,632,188,507,962,160,458,763,911,174,646,303,889,
037,618,822,294,011,080,136,040,076,993,882,218,327,419,439,934,086,942,388,
080,684,168,175,246,586,902,949,113,282,238,173,174,032,994,158,698,465,007,
798,254,718,257,019,555,763,248,334,653,467,100,304,636,013,697,333,476,545,
561,970,111,877,429,885,499,122,944,620,970,595,948,013,643,101,384,041,985,
651,243,148,130,412,517,841,672,617,056,735,658,658,273,225,384,017,056,310,
511,354,555,194,418,676,604,050,272,414,096,740,491,314,551,980,137,895,875,
205,998,904,926,183,585,601,851,889,337,012,883,957,976,398,367,580,319,690,
602,643,144,134,510,215,376,310,549,036,935,803,780,021,201,514,677,525,665,
923,716,247,734,580,495,910,232,552,038,956,203,534,870,064,114,100,645,166,
499,264,778,075,611,818,033,146,211,242,064,459,201,082,529,865,452,566,832,
369,237,368,217,020,539,927,900,823,843,310,632,059,599,521,764,889,919,058,
579,026,367,613,879,345,662,859,145,962,172,523,756,712,041,239,539,358,969,
796,956,988,321,282,735,565,972,436,209,531,975,439,801,310,435,407,109,959,
936,820,427,299,491,454,372,649,761,034,087,001,248,430,082,745,088,878,909,
466,681,436,816,707,559,369,151,391,980,613,506,634,472,084,418,957,573,141,
135,562,673,119,944,665,641,377,390,023,208,591,936,782,881,882,324,817,071,
941,285,718,475,440,336,769,793,254,151,189,773,690,507,255,658,393,286,019,
313,778,805,852,086,749,131,563,908,196,595,357,014,861,457,953,532,117,173,
236,014,267,311,266,094,747,933,062,160,298,215,929,952,512,261,161,520,047,
212,086,621,228,436,065,027,877,631,518,859,575,314,651,157,250,943,350,721,
541,361,603,404,802,411,034,938,478,558,452,926,346,456,196,882,440,648,872,
217,619,069,243,387,820,151,973,142,706,500,285,235,360,067,885,736,276,881,
040,261,229,207,133,160,016,043,632,984,256,740,244,593,214,326,349,955,511,
051,332,158,530,100,786,659,238,964,114,319,332,328,755,799,722,818,679,549,
741,789,945,512,440,467,001,874,267,021,677,168,101,727,369,286,081,961,504,
474,620,058,425,633,346,410,193,920,085,870,135,588,442,049,954,148,942,135,
909,124,590,241,380,061,436,935,879,676,901,493,429,087,967,377,902,174,088,
059,068,861,029,815,209,104,891,634,712,076,611,171,092,892,380,656,817,916,
626,900,481,234,006,741,041,236,255,731,102,938,281,386,666,618,313,111,055,
676,749,410,818,863,529,933,153,922,229,255,180,327,720,856,039,372,367,325,
555,719,506,994,986,787,899,108,532,229,827,945,113,037,512,308,108,089,518,
537,800,193,517,374,598,123,854,527,770,950,759,234,979,324,078,265,068,781,
354,540,221,788,531,966,280,487,098,920,270,433,541,058,707,570,186,170,926,
239,471,249,586,408,889,441,577,981,927,824,497,494,444,618,653,281,177,382,
952,453,229,093,510,217,123,393,126,154,790,446,520,078,741,039,453,938,768,
462,318,160,745,207,418,267,648,226,153,576,844,325,257,491,422,989,246,462,
211,279,822,016,426,675,562,015,911,795,414,950,506,594,020,963,031,710,014,
817,886,524,343,180,402,842,005,172,762,432,436,551,746,796,686,526,080,559,
480,908,179,668,674,356,075,643,474,413,520,866,937,778,698,609,868,089,465,
212,439,638,414,418,013,785,104,229,360,240,953,336,267,632,531,007,536,081,
752,735,610,863,381,927,704,322,473,373,316,169,053,209,258,505,495,076,768,
302,477,067,064,726,712,630,525,288,901,606,558,090,028,743,810,851,805,785,
485,911,412,460,367,908,216,237,076,784,666,579,555,394,008,526,758,055,056,
482,929,152,983,582,492,803,359,840,053,033,684,477,695,176,792,522,243,632,
902,867,371,084,196,067,381,024,118,145,955,749,149,932,586,084,407,087,308,
849,032,965,118,385,402,948,899,952,456,320,178,226,712,077,070,406,334,556,
443,936,099,920,591,968,560,241,912,579,842,715,180,146,024,448,649,112,424,
880,253,853,720,252,901,820,506,429,811,712,841,245,680,841,942,580,391,603,
730,985,965,025,457,909,704,691,875,516,883,662,070,805,138,016,043,291,370,
483,135,615,837,371,511,130,704,933,806,458,219,543,253,061,270,848,000,064,
744,398,078,105,446,783,907,454,340,849,038,480,328,308,418,803,723,792,543,
144,525,377,819,049,844,860,981,244,925,106,743,036,766,031,863,539,633,814,
016,330,042,236,373,128,530,363,930,687,573,699,281,689,745,845,145,392,749,
477,621,917,620,261,586,736,415,307,407,319,324,841,527,252,246,953,878,221,
003,967,505,958,371,290,350,117,263,075,832,949,715,771,477,550,055,788,185,
876,307,359,008,838,404,430,063,219,106,902,302,401,982,235,790,958,675,153,
366,728,540,957,255,641,593,144,750,951,199,561,880,260,831,333,895,717,085,
198,503,915,485,650,410,532,068,459,484,444,341,649,017,808,935,256,629,324,
616,569,782,563,962,497,332,712,468,397,486,721,290,204,094,285,483,072,491,
199,589,265,926,935,061,900,480,933,565,401,744,270,409,421,282,855,000,685,
691,347,719,125,878,464,932,564,450,099,241,292,310,362,681,834,106,000,553,
341,708,696,856,319,485,611,517,682,454,806,575,757,557,424,039,402,451,659,
861,805,026,225,592,981,451,717,704,331,617,313,295,439,048,478,458,460,243,
938,874,261,089,675,873,364,549,170,533,627,332,414,708,085,933,568,651,697,
017,681,899,675,480,394,775,108,817,573,943,812,402,138,771,937,945,726,542,
351,083,965,460,276,640,599,737,016,280,283,118,136,272,354,966,266,366,577,
012,427,310,689,156,274,675,748,953,415,857,164,085,808,792,850,323,874,249,
633,511,177,341,195,574,311,389,750,504,452,905,366,965,270,730,380,918,415,
734,337,181,240,460,536,906,409,849,798,817,331,932,531,909,049,257,230,046,
237,683,227,289,887,234,740,103,266,601,600,625,008,268,081,014,469,277,068,
934,385,594,624,638,110,500,671,650,489,517,267,031,529,631,327,134,340,918,
908,129,439,004,133,930,932,410,904,627,863,240,427,356,765,356,711,057,637,
493,217,005,522,300,321,320,718,938,542,836,429,076,808,118,385,602,961,884,
464,967,385,022,978,719,567,956,947,725,049,198,694,918,441,538,236,137,220,
695,888,443,518,092,325,794,142,897,563,331,052,102,501,955,343,846,010,060,
036,431,723,767,425,724,654,786,404,784,177,202,472,848,303,485,305,099,073,
419,226,371,159,102,858,991,786,934,418,144,337,309,816,165,335,681,842,472,
551,817,139,112,533,251,780,417,333,005,901,709,451,719,541,888,761,997,175,
595,701,886,616,230,119,950,101,233,245,357,782,643,166,120,831,377,582,452,
291,085,813,366,348,984,068,140,924,021,443,119,377,040,585,665,444,192,345,
800,090,937,621,958,831,430,096,872,454,248,263,252,513,394,580,344,185,847,
260,191,390,114,778,364,852,714,403,422,178,813,982,357,546,378,197,759,054,
176,342,680,025,233,188,468,668,152,746,924,548,418,124,978,151,678,441,445,
309,832,068,894,893,390,831,805,755,644,508,064,415,855,316,959,052,370,312,
006,366,051,598,692,668,006,476,163,923,447,194,186,494,736,115,916,498,732,
198,114,018,551,460,348,632,590,111,778,791,653,843,985,783,465,854,909,187,
621,037,165,428,959,885,614,233,018,363,223,498,467,938,649,433,206,218,102,
994,014,009,751,154,293,210,835,672,522,593,497,481,308,482,700,386,161,081,
960,142,537,754,027,123,594,565,587,577,732,139,050,417,336,120,895,342,027,
199,475,916,332,112,445,473,959,104,007,561,866,449,648,062,145,915,649,200,
928,575,011,116,164,476,275,767,812,077,127,019,597,596,915,073,042,213,955,
549,376,759,301,233,575,882,306,522,921,129,552,857,169,766,998,326,912,520,
851,544,435,717,318,191,774,409,485,079,132,891,067,116,700,760,670,943,874,
814,239,710,387,108,610,236,897,798,501,719,907,699,299,457,056,425,202,034,
710,216,060,278,777,092,135,253,104,452,019,013,672,968,521,213,962,102,991,
177,153,211,637,228,563,882,487,307,800,502,038,899,610,242,779,188,456,062,
648,252,281,013,527,949,141,859,170,015,636,597,537,401,038,805,378,710,330,
898,083,000,079,115,755,658,130,721,956,691,988,042,281,926,468,026,717,811,
044,077,677,877,317,185,396,124,497,957,132,437,072,967,747,832,668,851,916,
891,885,029,056,780,374,905,078,658,944,957,687,413,923,967,755,749,978,973,
760,997,603,476,123,964,281,958,715,865,418,417,443,028,131,241,192,302,623,
951,799,417,763,670,153,691,869,585,941,982,669,857,796,261,650,518,837,257,
289,533,245,995,235,623,534,081,546,526,138,287,489,119,607,548,780,316,449,
218,367,970,684,745,193,757,716,918,067,039,915,428,449,407,533,372,789,645,
267,197,723,802,336,864,590,586,411,339,273,174,197,050,281,538,551,557,356,
313,868,139,008,933,921,907,979,604,533,736,926,912,724,395,697,657,223,929,
481,223,618,706,903,024,551,893,444,948,559,385,507,098,182,109,762,685,923,
303,767,149,629,281,806,364,998,572,538,226,665,631,971,324,022,920,124,393,
556,150,929,182,554,515,087,545,204,312,299,920,219,319,860,930,447,482,364,
333,464,279,078,207,485,600,170,249,227,996,942,241,455,836,925,432,795,669,
395,921,790,236,518,623,886,294,389,996,505,689,706,434,563,929,536,558,809,
422,021,195,451,801,152,920,093,211,694,074,345,972,416,635,714,586,122,561,
192,831,276,377,767,263,364,289,381,045,879,935,665,199,403,397,916,392,436,
845,122,528,846,872,793,928,489,388,758,049,779,433,157,981,552,617,450,968,
310,474,553,714,405,971,781,302,729,642,256,663,518,247,718,021,885,004,813,
222,045,147,404,936,061,037,847,761,352,279,527,875,857,017,519,310,942,002,
838,376,442,527,015,070,380,605,890,562,859,574,003,255,470,658,777,194,870,
250,313,436,834,482,461,109,888,011,794,578,581,223,558,310,691,694,225,275,
922,112,792,249,049,619,354,048,668,365,400,202,212,449,531,819,886,889,812,
801,367,381,302,867,482,023,846,937,567,128,237,198,992,646,517,872,445,949,
639,898,564,740,196,990,421,308,467,191,186,629,058,434,396,575,767,518,353,
958,825,618,236,945,072,360,853,020,301,655,784,374,783,104,099,434,026,561,
719,004,715,951,565,428,584,382,930,069,128,441,816,589,410,554,240,619,244,
598,926,012,288,473,279,404,626,161,558,956,958,270,281,392,485,538,471,064,
157,751,797,545,389,007,130,394,888,952,596,232,522,717,853,233,715,156,619,
746,958,198,444,744,576,977,515,096,935,872,400,764,226,653,372,393,331,538,
991,999,897,031,672,711,893,452,971,446,455,978,094,374,329,253,426,531,592,
425,619,110,988,230,889,392,771,466,743,246,134,679,442,057,437,673,529,271,
579,776,348,188,433,608,547,592,122,127,514,882,995,110,836,759,438,854,137,
767,127,570,244,021,911,176,084,851,632,044,899,726,092,696,452,048,481,137,
429,449,042,426,380,092,190,624,329,968,717,944,042,542,076,930,569,870,331,
388,388,602,654,236,320,418,516,820,945,192,673,962,379,691,226,881,046,833,
081,001,487,931,847,594,049,101,368,660,772,595,077,788,398,770,146,738,339,
637,101,526,854,376,659,687,339,418,880,984,482,770,615,900,598,833,439,783,
744,090,609,044,017,355,539,571,366,200,172,832,948,314,770,418,171,893,260,
919,841,135,188,975,063,271,443,634,907,677,203,550,064,940,437,735,329,210,
220,438,316,574,321,275,013,175,166,971,707,873,815,680,193,625,848,486,098,
904,464,689,857,033,726,853,754,513,121,031,776,391,558,094,314,491,117,634,
276,965,661,452,703,339,439,631,920,505,644,148,111,673,172,704,158,244,386,
466,975,873,787,139,728,351,954,106,584,634,642,043,053,434,046,888,377,827,
642,233,748,963,727,039,792,794,419,279,018,774,351,680,995,627,190,276,449,
778,870,926,607,228,603,610,413,965,239,902,245,822,548,767,328,173,867,090,
536,369,158,134,982,642,305,113,790,815,102,267,006,492,913,847,257,601,064,
811,594,719,524,410,463,160,937,086,735,185,333,456,026,352,644,876,162,833,
793,351,911,792,585,806,320,331,331,281,027,860,353,396,005,824,793,722,021,
997,426,445,149,099,864,080,797,089,412,205,328,672,568,097,995,556,862,579,
407,900,794,600,810,874,343,141,495,760,935,482,727,758,517,370,504,564,861,
269,292,689,769,636,417,052,127,539,398,911,200,189,422,469,097,340,583,737,
757,980,697,785,434,406,984,159,272,431,405,606,856,782,092,333,214,572,634,
504,436,945,206,432,515,229,932,747,095,358,660,126,801,616,909,488,520,636,
887,275,912,729,509,910,684,901,216,702,792,481,618,345,214,810,238,232,859,
337,559,263,888,052,903,853,458,293,589,768,682,010,170,497,232,683,327,255,
728,731,150,665,089,952,312,699,649,761,169,144,460,439,408,685,877,943,067,
162,965,964,137,354,390,891,289,628,011,357,779,419,868,048,846,921,716,282,
721,400,046,819,281,957,567,177,159,717,193,312,881,496,351,656,309,967,962,
315,416,954,602,356,901,867,613,150,108,848,198,663,776,238,689,176,573,727,
476,202,467,956,784,071,250,769,378,760,320,434,598,474,931,808,330,414,110,
055,776,633,068,295,021,442,770,657,038,517,170,921,552,174,506,592,210,215,
135,883,604,636,816,215,997,128,629,154,468,196,255,485,721,933,377,080,030,
861,883,056,724,974,224,436,762,126,483,660,620,948,107,129,074,842,570,615,
162,840,268,027,606,234,989,649,586,958,585,232,354,579,201,425,065,094,979,
352,983,555,101,197,210,680,220,703,986,554,627,135,131,997,961,520,088,060,
657,180,667,537,838,602,458,361,099,242,614,324,798,066,461,186,585,199,585,
659,125,799,017,230,491,084,322,544,980,291,848,220,778,025,596,068,820,401,
098,558,375,467,561,369,665,120,528,378,352,043,878,495,644,522,637,625,292,
641,942,675,283,874,319,760,047,789,651,788,633,585,576,702,481,958,220,714,
281,229,980,715,042,700,292,594,201,314,901,874,208,456,755,435,574,350,772,
007,511,711,313,460,317,826,258,827,139,465,320,726,392,702,838,939,737,681,
618,060,568,419,478,832,377,779,195,804,512,155,379,520,971,755,938,616,501,
420,276,387,670,828,545,053,024,769,441,756,377,245,665,737,224,342,891,974,
471,953,260,834,499,248,784,555,451,738,829,878,870,406,505,266,096,013,144,
015,888,832,356,454,871,839,405,415,706,582,657,644,808,371,390,311,499,349,
696,500,281,852,364,545,582,367,867,982,951,059,778,851,301,347,771,467,538,
171,383,351,398,646,626,523,481,781,126,298,501,429,343,656,385,972,674,210,
847,533,363,684,138,473,146,776,807,035,669,868,895,589,320,798,977,393,765,
336,171,648,442,194,841,085,215,346,972,268,907,892,043,332,829,016,803,397,
216,644,564,301,682,155,062,194,522,718,536,335,688,031,600,899,411,270,524,
098,244,370,630,722,049,248,778,944,197,912,881,069,002,975,006,013,448,659,
441,079,891,955,108,794,912,464,591,172,151,594,006,816,313,223,341,025,033,
033,832,344,549,773,298,329,832,214,450,101,656,558,851,095,857,913,775,316,
229,526,091,808,383,488,985,501,692,638,086,367,099,078,625,129,258,500,745,
150,454,107,799,801,627,641,767,718,493,928,725,576,809,573,025,127,689,607,
328,139,297,255,433,227,818,204,346,967,087,740,448,394,098,129,242,119,317,
396,048,001,953,316,938,775,979,793,829,884,458,166,082,383,255,396,054,857,
263,744,646,543,975,446,134,953,396,021,807,256,779,261,453,206,851,522,981,
935,866,796,751,643,906,927,616,983,907,146,579,444,257,906,559,655,649,418,
155,088,877,855,328,650,267,610,925,508,932,784,708,557,954,507,024,972,823,
606,520,762,646,744,920,237,048,464,739,563,194,758,430,604,764,838,790,925,
881,579,926,330,424,331,676,063,777,260,377,861,256,342,443,599,019,270,484,
802,972,421,962,256,644,334,066,718,495,533,691,483,487,332,057,538,670,248,
808,624,749,505,051,591,969,238,363,748,040,629,162,418,178,928,059,502,921,
729,997,880,354,432,841,759,487,994,868,226,768,259,908,549,592,720,429,509,
982,562,326,292,902,559,507,810,456,384,651,311,917,708,473,519,637,586,081,
294,979,963,025,990,430,806,787,798,419,120,712,894,689,954,839,045,181,738,
557,581,176,128,801,558,601,757,463,359,850,743,531,475,718,092,644,135,018,
909,896,919,173,859,391,570,064,830,648,492,523,720,041,388,757,739,288,302,
362,756,762,659,116,526,932,667,430,187,943,761,397,134,937,309,461,986,158,
540,943,642,733,984,055,875,984,136,774,330,609,501,446,280,439,678,724,588,
077,321,221,072,653,962,183,450,733,011,746,433,168,331,063,225,885,892,348,
857,423,067,346,127,238,531,053,074,400,529,007,620,412,885,288,697,672,642,
133,607,073,120,488,302,976,523,304,828,603,483,183,786,866,476,441,012,427,
476,210,731,135,223,769,483,802,946,586,979,961,957,685,996,218,361,051,930,
966,316,431,534,834,736,036,088,649,760,944,948,040,306,877,964,647,754,420,
839,163,623,637,837,226,520,502,183,011,311,731,006,038,975,764,304,037,441,
094,301,921,000,829,985,673,764,202,493,463,774,235,848,712,583,763,180,467,
290,733,342,260,393,349,499,499,847,448,510,128,820,390,288,336,628,264,183,
016,932,922,709,474,611,843,072,206,283,612,559,891,404,491,640,784,743,358,
335,930,160,639,014,620,305,980,299,076,830,353,836,329,672,232,861,512,944,
361,279,182,567,985,316,813,272,268,059,131,731,080,361,655,417,954,102,838,
929,795,089,619,352,770,329,158,080,980,845,433,170,336,953,494,946,314,204,
332,471,807,330,228,695,801,520,668,183,449,396,119,133,748,065,666,661,874,
578,094,063,794,474,598,753,182,819,506,973,264,360,721,957,858,123,717,799,
331,761,606,692,364,401,848,940,784,879,291,916,056,630,250,260,433,479,508,
528,516,209,360,207,129,667,363,890,468,186,051,316,274,877,446,354,759,257,
689,963,773,607,827,782,827,494,108,455,501,704,665,786,381,897,974,439,898,
885,172,918,979,275,322,906,040,484,722,547,076,581,611,128,777,969,357,959,
221,721,746,778,521,946,352,538,076,716,283,956,245,374,555,974,435,988,547,
313,204,596,838,198,045,077,437,382,205,587,264,976,689,910,416,115,035,780,
435,364,309,971,756,069,196,466,073,365,823,270,562,454,520,846,385,148,171,
226,262,661,949,904,920,293,442,991,550,991,809,143,522,751,802,155,976,109,
337,255,623,606,376,435,534,238,951,806,625,812,464,261,471,145,089,125,651,
845,630,808,696,509,361,139,198,620,464,768,581,520,339,877,501,390,606,629,
591,352,036,913,102,928,327,375,556,668,605,215,510,509,675,128,541,082,888,
991,205,727,380,864,359,847,586,029,841,125,022,388,651,880,545,150,609,901,
424,502,279,777,991,405,916,976,845,075,032,155,305,028,890,364,582,881,072,
259,467,770,502,612,170,089,381,215,740,613,891,069,963,007,692,626,230,466,
915,378,918,652,328,619,317,112,957,811,132,880,670,485,943,727,370,777,530,
871,727,312,763,425,501,298,753,345,234,280,075,177,915,794,294,923,439,548,
978,950,933,221,998,613,083,226,485,358,107,496,653,618,479,055,182,748,035,
425,805,865,618,690,036,221,692,883,808,602,480,055,052,811,375,919,533,405,
145,303,591,076,627,628,632,399,278,240,120,773,181,104,674,222,040,884,316,
777,483,661,013,302,825,685,206,074,723,303,921,509,766,196,457,203,223,058,
593,960,059,862,056,197,060,057,578,364,720,853,003,591,391,276,377,756,542,
692,367,695,012,111,357,576,028,247,822,699,460,894,985,027,002,292,824,946,
426,232,478,987,668,741,414,872,439,260,591,582,414,722,073,662,191,385,290,
489,947,778,441,973,485,835,236,616,202,296,995,775,760,005,005,842,990,464,
339,199,941,335,835,095,518,438,563,634,389,663,950,667,362,070,033,074,340,
949,772,123,280,494,059,777,790,551,800,893,969,818,799,230,554,422,222,063,
348,557,894,525,962,276,726,734,283,059,688,014,479,515,284,387,760,387,305,
021,660,127,213,262,541,356,075,390,257,093,704,879,293,252,870,593,824,939,
600,967,752,494,444,921,973,595,381,416,545,042,250,889,203,129,390,129,024,
383,905,498,884,239,087,351,681,447,365,138,190,628,795,557,973,145,604,540,
560,195,405,309,101,392,153,386,719,289,706,436,253,900,459,972,221,222,156,
743,277,357,944,516,549,994,560,999,086,522,920,212,453,127,140,435,678,111,
813,752,087,622,891,751,720,905,773,686,045,838,766,053,136,946,414,813,892,
841,427,808,070,623,906,582,744,269,197,616,481,679,227,111,276,240,730,306,
841,482,630,928,933,905,625,345,147,818,926,867,075,470,520,939,339,457,956,
098,809,116,416,897,379,454,514,546,633,394,048,244,531,394,984,091,582,937,
598,059,566,413,045,201,977,890,260,294,401,640,220,096,057,909,036,442,140,
683,546,742,079,899,567,787,071,281,721,207,471,510,707,750,250,576,982,881,
169,276,829,717,293,336,390,061,906,241,241,136,029,760,081,556,317,713,860,
892,440,204,009,863,391,273,729,124,777,520,488,683,929,447,402,971,019,443,
373,998,030,204,001,812,400,618,395,112,663,858,171,467,780,779,732,737,205,
718,305,102,013,183,000,814,372,702,592,810,974,230,101,747,395,624,060,246,
739,542,939,871,567,183,601,276,356,509,586,432,144,229,946,738,536,740,570,
465,255,918,440,157,139,896,638,653,217,066,259,759,118,091,882,615,450,713,
751,228,921,252,370,022,884,032,389,350,144,714,892,539,165,760,356,273,021,
714,018,003,791,854,133,863,932,842,313,423,698,752,804,447,903,552,603,819,
748,317,614,969,176,363,863,855,819,410,731,230,698,797,737,666,772,418,664,
092,549,419,692,324,798,761,113,650,602,349,622,968,878,682,406,001,281,741,
765,510,713,442,370,862,299,821,063,941,488,314,110,346,268,794,359,779,701,
920,662,702,733,008,571,027,457,112,003,714,697,917,139,532,897,894,270,130,
439,523,895,367,372,793,038,040,509,376,530,238,645,784,124,530,620,290,758,
637,280,383,933,111,294,812,575,583,683,826,221,855,421,983,169,612,750,123,
831,665,356,780,396,747,734,165,642,873,560,437,806,609,080,481,376,317,110,
213,796,258,184,052,177,179,506,830,456,969,939,435,451,055,406,047,746,709,
821,640,615,766,378,557,838,644,032,368,084,807,795,887,724,630,022,826,477,
702,699,179,662,470,286,620,844,555,789,376,989,289,552,260,255,600,115,062,
404,378,510,120,672,229,176,985,308,009,073,371,449,451,951,514,948,489,471,
873,242,211,699,628,654,456,308,754,374,065,945,701,868,661,141,554,920,354,
720,512,783,532,544,507,395,498,356,428,362,703,074,539,244,139,764,208,347,
977,993,781,955,606,552,077,235,620,825,182,955,014,292,154,831,066,963,956,
069,127,300,188,591,123,398,989,388,929,530,527,375,415,011,682,884,886,564,
917,563,943,287,260,804,498,864,740,197,221,977,864,466,455,741,656,997,231,
663,129,959,644,143,065,195,797,504,702,477,065,764,628,097,798,345,199,495,
299,567,410,536,083,794,436,191,758,317,075,615,317,472,527,853,093,776,581,
550,244,779,517,679,297,449,973,071,155,137,790,398,439,871,197,536,589,086,
538,553,749,857,779,040,129,051,002,786,622,261,803,297,179,778,403,178,548,
437,861,222,211,113,060,160,915,866,626,738,221,782,693,398,281,803,170,592,
580,090,516,846,853,012,462,869,528,897,986,900,466,389,233,185,171,120,689,
766,505,344,602,972,456,788,588,613,930,740,099,063,027,559,550,860,623,113,
954,358,417,290,587,286,275,896,058,159,375,165,007,208,754,445,181,320,536,
657,673,978,349,501,125,692,085,941,855,187,478,614,671,423,261,171,535,993,
751,868,834,314,046,158,484,690,813,507,008,825,043,055,926,487,448,597,724,
066,241,978,211,826,888,153,626,303,760,255,986,891,739,203,106,264,336,700,
420,996,360,716,379,033,254,837,773,742,374,843,873,316,272,160,173,193,116,
445,657,916,138,114,274,606,382,683,870,893,908,929,473,130,150,731,989,498,
394,677,753,816,906,727,816,047,921,803,343,252,924,925,089,660,776,549,796,
638,616,021,820,797,853,460,123,322,049,154,678,044,721,305,427,145,064,446,
206,324,297,149,056,308,735,784,709,854,155,694,889,116,769,859,188,532,481,
304,468,872,916,621,297,606,798,671,304,272,717,257,644,843,488,005,515,582,
078,372,426,645,309,595,667,017,388,683,605,416,501,730,026,261,414,551,165,
297,368,434,598,339,598,854,440,222,098,815,025,164,932,183,184,061,697,742,
089,689,508,270,759,346,796,386,554,966,899,109,606,514,511,350,001,442,602,
552,920,534,940,026,709,041,997,511,861,500,190,981,604,966,237,754,136,012,
038,367,592,146,720,566,829,982,638,321,103,336,689,008,951,690,484,089,100,
986,587,801,191,297,922,074,981,563,298,213,276,291,446,852,326,679,796,717,
161,558,547,453,580,925,232,902,755,295,522,458,941,270,257,865,170,873,550,
968,030,306,706,551,370,455,346,510,632,619,237,407,642,802,091,047,904,851,
473,835,715,896,205,058,436,981,362,865,821,981,527,531,176,636,234,300,787,
917,109,576,072,809,157,761,146,649,295,141,780,517,598,954,002,880,925,679,
547,869,766,142,237,735,449,281,572,551,146,053,944,725,822,421,483,379,374,
363,207,794,852,512,799,530,654,147,039,722,459,534,157,819,762,823,349,606,
252,935,922,309,866,649,227,537,422,646,312,012,319,501,060,476,946,326,821,
287,478,722,641,974,728,636,067,174,430,588,448,082,056,806,957,043,921,833,
173,391,004,354,825,795,477,799,923,204,845,986,866,406,544,232,630,331,824,
997,940,353,357,302,580,019,885,452,590,389,865,131,390,459,364,926,726,945,
668,019,185,238,789,577,624,714,594,904,058,466,799,739,487,393,132,347,292,
592,042,083,836,615,318,943,053,994,466,738,488,976,738,670,974,357,530,255,
034,798,411,545,474,184,739,007,675,804,120,686,330,124,212,053,104,187,635,
551,944,093,519,830,819,506,009,903,642,283,930,706,655,450,761,947,510,252,
812,802,636,369,343,106,112,715,125,173,999,926,547,751,943,177,607,758,364,
836,523,318,938,726,511,779,212,312,721,696,704,867,439,558,459,372,061,694,
789,178,784,545,819,178,060,610,153,223,736,831,825,839,587,443,638,171,109,
667,477,721,113,913,464,373,835,746,334,443,445,415,619,746,665,331,344,470,
001,836,837,889,006,528,983,908,852,946,657,960,822,759,222,263,669,255,591,
290,855,828,960,085,222,399,207,302,427,048,395,813,442,144,485,535,283,250,
564,455,737,594,173,431,553,994,487,425,768,821,690,430,037,906,303,014,618,
260,280,718,284,629,171,408,059,015,288,196,638,601,159,113,080,446,556,166,
791,502,110,368,059,994,486,042,487,699,055,288,464,653,205,886,976,485,739,
184,825,000,126,552,293,871,791,015,246,550,393,001,469,120,161,471,997,726,
790,286,669,885,085,414,830,504,183,775,586,460,083,641,039,214,507,527,250,
410,341,024,266,032,316,436,929,996,428,975,815,799,085,707,954,484,613,217,
867,198,402,324,434,892,096,473,806,632,215,368,475,475,861,640,310,557,579,
380,431,409,031,471,525,303,475,061,558,544,602,262,492,850,523,918,382,156,
754,640,630,457,364,053,750,152,451,073,276,870,722,877,392,142,669,522,670,
335,782,840,763,321,767,076,020,824,370,467,016,313,722,878,522,305,309,981,
867,872,466,158,592,036,520,378,096,055,356,078,616,128,860,581,540,485,753,
391,281,468,715,397,284,556,333,184,491,125,467,287,151,524,464,446,921,018,
828,061,871,180,480,956,713,165,203,683,328,776,452,205,007,353,433,840,934,
007,150,055,585,288,762,813,247,907,453,841,017,465,736,084,495,008,122,776,
480,990,550,902,524,296,781,939,433,321,314,057,436,565,931,142,634,154,154,
787,420,132,732,480,190,196,053,945,198,427,528,866,502,696,202,388,338,789,
584,126,683,635,130,011,114,963,837,349,286,074,602,626,789,465,898,250,954,
926,283,712,421,617,362,368,278,932,343,711,204,309,920,519,326,604,594,075,
665,912,014,934,805,922,041,742,206,266,754,806,683,625,736,054,686,738,571,
065,016,893,183,076,605,264,047,565,286,230,159,661,305,512,838,244,219,337,
516,794,843,394,677,511,011,170,238,638,110,322,738,210,337,951,684,544,100,
531,996,518,670,369,525,677,586,027,622,926,753,565,143,753,320,088,992,403,
353,353,079,815,796,115,750,077,511,888,893,861,516,495,665,698,766,917,784,
496,092,855,591,320,249,485,474,630,312,367,723,683,045,400,832,120,637,951,
220,886,173,433,644,740,738,405,759,093,334,969,973,348,290,673,315,918,118,
568,654,577,946,058,147,785,712,276,110,909,910,926,960,706,506,116,912,374,
187,156,661,150,372,324,374,836,014,442,324,725,887,010,519,893,844,077,288,
749,291,749,126,500,724,125,860,319,890,001,133,407,857,714,456,043,868,214,
031,863,138,546,200,138,363,553,900,427,923,612,894,897,244,716,144,171,295,
304,032,101,046,370,878,124,591,139,006,145,263,803,493,858,948,813,203,022,
136,544,770,396,755,666,292,547,769,551,099,219,597,153,402,953,602,076,847,
471,528,150,302,585,354,719,315,894,118,043,826,878,884,116,464,675,927,939,
983,315,215,331,319,663,486,516,608,421,315,587,998,688,088,714,884,877,756,
186,817,969,694,657,351,459,126,769,454,491,459,495,630,408,555,927,842,644,
196,436,148,252,024,680,398,975,613,107,866,080,910,492,559,927,755,208,273,
611,250,517,214,905,078,492,906,404,626,176,373,658,758,910,720,357,336,536,
625,166,747,311,456,422,486,249,683,215,518,022,171,372,828,284,759,926,472,
420,648,908,794,240,864,887,349,417,999,362,317,534,410,553,691,364,029,290,
621,778,824,113,485,534,035,738,500,070,557,066,013,142,024,593,019,702,477,
655,601,746,767,201,763,557,997,657,215,984,494,297,911,515,251,284,346,819,
708,276,631,134,212,862,705,896,753,782,916,811,406,937,357,261,227,262,841,
581,982,530,954,659,964,034,699,515,802,659,072,523,634,763,043,455,523,331,
618,576,749,606,402,659,997,438,563,982,783,347,917,358,941,426,355,034,063,
289,868,992,183,496,893,643,995,764,588,223,350,969,551,860,733,296,163,703,
899,329,011,421,550,479,329,814,201,013,558,676,975,735,129,291,282,919,893,
371,978,961,888,766,627,431,165,541,185,000,508,650,561,270,779,513,245,272,
443,698,314,787,670,736,907,866,511,030,764,929,757,782,698,671,465,631,702,
791,651,639,229,679,346,520,767,219,342,809,051,849,844,236,043,688,526,487,
747,520,964,005,093,385,715,324,920,643,146,099,433,035,497,800,400,481,151,
319,341,339,790,114,850,069,174,245,042,641,793,333,345,717,960,419,334,064,
768,934,130,257,942,740,906,133,241,893,359,191,875,498,733,970,111,368,937,
353,396,919,238,117,068,371,954,859,245,331,313,568,235,905,764,827,457,433,
570,768,397,505,133,594,592,402,305,634,928,384,466,975,536,468,340,276,972,
611,630,786,686,624,141,440,061,198,684,721,076,726,230,049,826,232,527,876,
936,604,033,765,542,977,346,017,728,221,042,504,394,811,629,055,103,834,562,
266,308,731,522,362,443,073,613,251,882,734,901,446,894,396,763,198,602,233,
294,682,567,487,923,637,384,432,386,928,692,187,067,078,900,830,301,352,979,
644,776,733,786,649,687,718,304,278,177,935,024,715,312,321,887,078,277,795,
792,523,826,108,368,635,973,158,762,118,334,837,846,047,550,588,916,983,077,
853,054,338,285,178,720,150,139,617,168,139,262,568,901,994,180,381,179,793,
913,333,160,107,884,196,161,257,393,563,334,190,197,419,615,732,582,337,926,
884,964,557,438,586,484,734,545,604,492,506,714,077,856,329,864,562,011,190,
321,940,565,605,123,598,339,119,207,717,477,459,700,144,612,748,650,238,488,
253,751,187,806,240,261,812,328,700,485,917,305,242,356,850,355,605,080,805,
230,867,281,762,087,007,957,414,955,109,878,290,859,657,978,122,913,159,572,
710,924,367,179,533,284,930,795,557,023,846,911,862,908,846,284,958,605,321,
274,057,406,101,719,381,757,798,691,654,607,462,171,159,306,188,856,985,701,
604,589,033,659,413,512,226,194,473,755,303,679,369,848,644,993,372,719,016,
340,055,480,617,584,687,127,879,832,448,552,016,731,484,655,544,810,831,812,
052,778,349,805,497,110,264,505,637,310,591,135,520,471,957,050,073,428,474,
187,334,845,702,870,297,541,240,496,561,611,950,323,206,631,699,266,532,801,
894,996,220,213,062,631,383,344,351,150,716,893,729,732,182,604,657,137,205,
796,240,636,297,765,542,603,473,559,125,209,670,253,443,838,846,099,861,783,
593,813,292,832,387,464,441,854,076,736,804,540,964,565,809,433,949,039,082,
963,242,215,040,866,274,011,806,755,506,806,782,094,989,810,415,934,994,075,
549,760,519,130,849,446,345,180,628,890,884,227,516,324,656,719,976,782,078,
159,585,208,312,637,881,129,398,979,788,952,195,389,003,977,936,827,842,279,
166,860,141,164,497,144,776,747,002,413,071,756,924,762,915,416,928,565,667,
332,727,902,480,542,692,728,749,929,657,882,916,477,735,404,171,881,113,989,
635,019,624,432,100,177,078,925,016,804,155,249,271,182,052,554,915,420,903,
233,412,645,385,196,601,626,583,145,016,967,387,432,109,985,954,123,203,071,
312,204,834,187,879,749,743,154,537,171,980,356,128,451,592,373,667,153,409,
854,137,927,853,713,110,337,423,704,071,551,567,996,395,992,569,165,000,256,
165,680,074,529,764,982,502,202,462,349,138,142,837,192,664,810,985,394,717,
684,865,360,974,484,969,423,055,107,367,301,624,692,827,418,953,160,422,757,
085,348,669,890,762,546,278,999,903,041,893,605,962,939,160,002,536,518,263,
794,362,634,103,076,037,174,528,272,213,821,716,806,190,975,421,896,259,481,
216,897,224,491,550,082,909,819,554,373,199,539,940,357,083,894,502,090,105,
020,498,756,351,168,755,193,547,134,339,820,344,445,594,508,394,246,471,197,
891,787,518,556,865,552,195,685,169,641,236,706,525,679,791,624,215,468,852,
747,286,902,066,101,552,689,999,343,663,509,287,351,634,962,127,378,613,685,
338,161,671,919,354,043,473,178,439,761,025,415,634,960,801,732,968,355,286,
600,590,226,849,019,890,527,845,814,913,921,629,651,733,719,948,328,591,377,
423,792,269,871,424,709,346,566,952,696,027,310,439,732,317,500,901,080,524,
795,607,914,101,954,246,810,013,377,177,126,156,319,562,899,047,263,304,053,
727,238,381,119,782,439,363,400,608,474,793,227,350,512,513,816,375,520,631,
694,924,180,011,584,805,147,573,567,300,994,299,377,621,943,942,844,075,144,
509,293,284,158,163,778,826,111,337,215,873,789,085,884,157,210,813,904,779,
789,416,019,597,656,281,227,625,440,013,949,999,489,445,823,104,529,136,526,
647,723,113,938,111,780,918,832,038,935,494,616,917,793,613,195,636,236,408,
436,781,887,573,078,275,901,992,786,729,757,309,154,451,520,353,721,808,107,
868,452,491,901,525,663,649,687,529,212,541,624,313,536,953,613,882,960,707,
360,253,041,480,695,829,499,349,722,792,970,493,975,011,054,181,784,043,707,
640,459,174,259,257,370,577,427,734,908,203,979,036,253,616,554,093,753,968,
317,483,330,172,963,414,590,893,995,178,145,761,959,605,785,930,866,661,482,
216,424,658,238,604,834,721,663,240,456,362,602,506,398,945,070,709,942,368,
786,534,500,850,602,368,096,325,934,017,360,129,506,677,732,587,815,911,347,
253,012,615,165,549,117,336,262,830,862,137,107,775,086,917,280,837,628,697,
457,576,427,973,156,876,887,884,791,014,068,602,605,419,145,863,386,328,107,
387,512,257,560,683,915,475,733,780,978,307,698,271,714,515,854,544,600,809,
854,541,235,978,219,362,435,673,486,306,219,621,042,846,107,468,315,352,473,
682,954,811,945,478,593,154,702,516,115,828,750,874,177,387,562,739,551,494,
633,300,034,910,592,536,093,749,203,968,607,491,360,771,527,627,089,236,448,
621,126,815,247,041,341,835,393,997,050,426,472,861,466,046,757,116,641,330,
892,179,803,385,582,403,843,164,657,090,183,580,441,442,379,253,721,984,063,
839,633,463,646,045,177,651,556,249,781,834,622,713,313,230,608,028,694,187,
286,291,842,533,746,010,175,468,814,787,631,352,995,771,262,189,662,874,295,
042,719,860,450,777,912,130,729,032,782,809,561,581,942,300,447,388,702,247,
848,740,556,523,722,902,693,932,912,236,609,461,382,517,199,118,428,502,359,
131,755,775,056,794,082,049,105,389,323,473,528,892,702,790,439,707,145,676,
207,123,342,791,979,636,348,170,846,519,836,091,738,429,884,279,562,875,241,
402,586,752,880,945,912,647,586,208,667,671,297,699,369,408,487,199,640,310,
780,858,724,480,927,538,262,536,419,107,701,854,910,084,658,797,904,801,992,
342,537,492,867,209,132,941,855,719,588,789,916,144,226,562,549,837,351,345,
749,895,057,983,010,017,492,227,513,556,557,987,578,029,299,747,198,426,593,
905,507,269,909,948,777,646,121,551,081,825,136,543,619,614,834,008,293,403,
593,524,074,191,525,754,613,039,625,637,215,904,925,775,730,771,889,468,931,
069,404,734,369,528,135,571,616,627,325,021,802,963,745,718,583,531,596,609,
263,399,720,739,548,467,500,089,634,564,872,550,391,626,023,034,279,090,532,
144,969,467,398,367,987,023,749,188,258,612,150,822,541,668,522,808,091,182,
757,464,671,175,068,860,233,725,732,327,919,954,661,122,229,960,752,019,973,
064,345,150,537,309,535,200,763,450,603,788,127,116,683,540,924,499,078,736,
559,174,897,798,621,967,658,883,456,674,864,983,789,672,019,562,570,127,097,
135,823,399,487,113,934,341,181,654,297,519,071,013,477,459,981,614,922,343,
322,604,761,406,169,735,719,159,749,377,476,860,231,043,672,938,654,852,665,
029,668,755,564,370,543,886,203,894,281,714,970,908,988,930,365,284,381,039,
769,263,591,591,503,486,995,228,576,936,274,684,378,595,706,040,297,934,334,
516,491,144,550,227,129,892,512,498,387,265,487,593,138,798,096,494,400,835,
923,503,228,164,641,000,826,414,837,684,304,673,266,208,181,041,875,919,670,
011,412,106,138,533,220,663,547,534,386,197,574,512,427,790,152,932,140,982,
379,269,293,853,665,240,316,519,849,095,463,754,657,400,013,065,809,578,543,
255,145,839,718,818,273,383,771,203,770,809,657,610,623,841,393,622,312,661,
013,488,354,801,564,620,096,205,160,257,953,703,668,222,230,115,034,431,793,
546,408,022,608,672,092,720,247,541,976,762,687,456,730,326,961,792,720,295,
136,154,486,617,099,087,466,591,723,411,572,222,084,934,618,983,466,447,646,
838,973,728,964,716,356,137,314,975,704,328,057,256,703,209,046,142,695,342,
950,323,656,695,526,443,988,720,250,010,534,933,812,832,801,060,723,016,155,
013,455,710,577,014,843,920,124,149,494,122,497,262,253,895,371,281,037,222,
202,781,982,272,421,282,519,039,054,489,238,124,968,806,666,739,143,006,814,
052,601,060,003,737,344,366,340,304,690,214,946,524,797,347,487,705,737,008,
534,216,395,906,842,588,933,378,583,709,366,993,175,366,147,694,938,605,632,
059,783,640,460,751,108,831,407,065,535,712,596,009,732,381,746,581,420,708,
823,758,176,577,906,750,008,757,378,626,933,330,587,926,751,509,018,828,359,
603,979,698,022,556,593,467,986,330,915,173,302,985,501,747,160,751,730,531,
233,287,350,565,837,665,726,757,485,066,187,556,102,297,927,961,980,586,245,
425,430,785,771,141,011,176,759,592,034,444,170,451,215,669,684,841,569,952,
341,616,033,092,734,162,040,348,655,095,766,371,325,819,726,616,006,311,219,
806,594,427,463,198,083,987,641,991,579,687,819,735,866,342,651,165,292,629,
968,005,945,169,601,656,177,881,635,510,799,951,242,863,184,255,467,036,490,
149,239,287,526,771,976,281,344,212,070,801,657,660,945,505,724,882,370,067,
442,219,308,461,487,801,336,138,894,557,423,229,081,612,766,515,979,540,654,
374,164,880,891,702,841,735,426,738,743,540,172,268,876,716,497,083,608,919,
322,314,733,144,605,082,622,317,009,354,497,144,286,465,866,949,554,053,738,
585,085,158,592,694,118,124,620,130,512,005,605,769,855,156,964,165,251,435,
103,900,239,479,011,986,838,908,886,491,801,955,097,655,927,778,141,128,938,
533,680,362,963,414,854,490,825,257,379,987,037,422,913,297,721,611,437,566,
062,888,563,521,689,083,758,896,763,378,201,083,299,815,186,679,982,513,753,
688,095,670,236,712,246,638,546,982,876,843,195,385,985,341,153,169,717,559,
049,126,649,969,926,733,262,762,362,316,456,353,734,528,985,980,374,629,056,
521,717,606,574,346,351,402,994,193,798,000,751,292,870,420,226,404,140,069,
398,378,276,376,600,252,399,050,196,635,597,147,973,568,844,149,653,447,832,
208,064,457,587,530,493,961,800,372,656,742,808,838,972,577,896,203,734,510,
467,400,763,323,264,379,131,276,368,551,931,478,006,860,626,903,995,230,291,
454,493,956,148,667,230,876,174,774,230,737,681,397,298,857,972,464,084,304,
483,730,000,921,461,546,934,728,763,201,562,695,958,180,912,300,016,148,912,
531,592,917,327,039,023,236,357,095,569,488,865,146,052,246,527,024,173,724,
136,522,368,267,776,295,519,253,220,041,748,785,066,953,643,063,343,668,347,
128,769,912,763,173,491,429,837,293,439,064,737,769,551,772,127,998,550,965,
548,918,834,702,566,274,215,188,532,153,290,745,885,361,341,957,225,221,383,
875,248,802,807,994,679,225,302,881,565,415,545,053,806,343,061,948,696,663,
319,831,867,129,095,822,338,309,912,243,627,616,546,632,893,439,570,423,468,
873,556,254,577,574,584,351,805,523,941,503,514,984,601,230,553,536,793,659,
580,806,606,658,582,919,634,883,486,432,626,916,190,920,652,292,213,620,485,
370,570,745,884,939,152,634,750,553,340,777,287,788,929,313,540,941,750,132,
571,578,873,869,302,322,515,014,657,052,452,424,774,451,034,388,774,056,047,
789,532,506,385,284,719,184,653,707,726,374,150,669,189,919,266,867,788,388,
593,610,052,314,950,436,050,082,707,066,291,206,453,324,346,058,075,301,479,
087,216,458,770,373,589,279,044,329,113,843,885,516,916,152,128,801,896,926,
659,368,204,333,441,288,755,419,333,332,203,215,340,856,763,935,416,549,851,
892,112,020,908,719,102,734,404,476,792,240,971,760,031,928,318,623,251,991,
221,293,520,234,416,231,639,498,496,300,773,438,138,900,990,645,160,316,643,
124,792,770,389,781,801,308,288,860,186,296,482,672,211,814,451,898,194,708,
514,591,406,005,912,144,496,487,865,643,175,020,614,396,307,489,581,817,740,
463,369,368,900,960,395,698,499,946,733,922,886,389,174,385,570,220,249,058,
946,497,031,849,979,366,432,233,814,259,085,850,666,887,098,124,188,815,853,
439,360,276,732,845,598,936,530,868,707,122,794,259,269,571,817,285,394,001,
402,469,074,506,220,799,788,894,678,156,606,536,013,742,225,779,828,797,354,
766,493,691,217,799,360,413,853,838,522,551,728,373,793,355,736,043,408,129,
979,700,415,115,017,454,362,555,606,744,880,081,709,871,398,291,875,797,034,
596,015,748,689,943,853,144,208,184,792,528,688,033,026,400,687,108,765,321,
747,150,650,870,149,774,107,171,211,329,662,937,237,388,754,186,700,688,731,
920,573,714,757,080,884,038,298,015,968,177,921,501,962,509,495,753,663,110,
437,939,268,831,008,455,641,131,627,119,957,718,060,557,447,373,922,192,374,
760,291,326,875,308,059,406,613,996,929,713,134,117,626,672,453,933,673,366,
059,434,712,283,891,630,920,861,026,692,168,972,065,342,300,800,926,473,148,
624,910,050,938,736,271,989,614,228,797,131,172,001,172,549,767,244,011,383,
186,078,018,826,592,586,002,418,527,920,418,421,645,646,669,743,253,871,036,
857,919,749,856,876,429,501,667,404,085,972,215,054,247,859,049,744,248,935,
744,774,748,569,715,929,857,887,203,480,285,588,117,406,048,352,109,883,149,
002,411,368,957,209,457,536,256,520,756,882,673,326,508,046,587,863,128,420,
163,208,686,856,727,564,676,527,162,468,823,089,583,871,507,292,281,527,229,
297,357,379,562,734,511,029,261,518,431,557,679,929,045,816,521,493,225,986,
513,141,973,984,851,802,355,361,256,244,601,314,627,761,085,430,860,045,265,
714,091,595,664,984,795,140,438,371,028,643,113,472,980,654,546,991,711,738,
839,142,802,605,605,206,436,723,261,592,406,532,390,047,331,301,326,266,462,
831,784,590,867,270,557,288,281,563,386,204,726,972,756,106,652,080,346,016,
830,233,938,584,555,442,284,740,365,921,018,042,939,040,301,779,740,001,385,
835,003,748,104,607,854,156,056,978,017,558,049,719,291,912,512,521,187,906,
576,226,570,961,078,898,355,328,556,893,433,907,410,451,729,867,759,734,174,
683,661,026,825,541,878,854,302,632,783,290,583,644,274,873,717,825,788,414,
877,793,845,880,877,856,731,392,811,331,947,443,161,074,603,682,114,718,664,
966,528,464,445,018,950,841,929,355,880,968,226,634,190,024,783,639,009,042,
907,620,413,914,262,203,593,024,890,970,995,171,204,161,348,375,755,597,828,
038,632,524,265,990,588,377,108,358,202,246,734,853,122,813,461,132,688,381,
163,036,879,278,164,332,992,878,941,424,956,564,129,921,193,999,868,402,740,
313,381,360,442,204,871,836,031,543,067,599,543,151,111,068,897,259,076,255,
776,132,561,791,711,050,352,213,947,952,101,705,818,834,500,285,081,253,964,
685,696,520,016,453,189,130,728,551,483,368,893,249,454,806,339,759,168,734,
692,684,514,548,994,184,715,380,471,023,037,135,701,018,276,911,285,157,881,
482,828,198,516,517,395,731,187,923,667,417,472,216,820,916,069,353,429,697,
869,873,544,733,237,106,551,114,853,749,249,894,079,608,284,431,867,038,619,
980,947,217,838,902,625,647,028,503,562,500,262,514,835,794,280,014,634,750,
946,541,927,552,916,394,110,353,221,797,561,615,159,349,559,172,833,839,862,
410,328,119,972,765,658,089,510,968,329,642,095,264,336,440,269,251,025,772,
221,720,851,448,620,848,981,152,394,967,625,266,978,511,438,075,169,925,602,
543,724,243,397,369,557,648,316,212,512,323,811,358,582,708,647,914,573,745,
426,009,226,044,752,952,291,709,556,650,178,887,358,914,052,270,511,876,434,
082,766,694,125,382,075,022,427,402,755,231,458,623,382,287,977,622,330,813,
593,266,831,568,876,816,184,419,321,424,349,122,903,765,609,838,738,024,036,
206,813,669,049,194,024,907,755,422,639,257,363,058,226,216,030,437,231,247,
326,233,694,579,858,283,079,635,736,533,033,494,986,412,014,427,722,629,289,
265,753,628,172,297,685,756,477,777,445,960,292,514,784,788,181,406,975,639,
497,386,938,057,320,787,130,285,716,253,459,985,947,165,964,649,530,800,897,
277,182,378,682,405,547,626,534,050,829,356,089,222,265,102,747,367,319,019,
210,723,951,688,379,087,345,576,270,677,726,096,679,199,016,633,942,936,885,
935,737,381,859,626,934,288,606,478,869,747,691,642,297,832,387,721,213,608,
659,547,815,275,502,504,435,643,949,292,815,533,619,596,820,501,220,877,242,
295,785,194,086,655,312,871,454,929,904,818,489,494,175,558,508,828,670,909,
791,688,848,021,289,864,178,984,964,786,292,911,596,711,142,822,130,571,715,
011,219,551,896,412,244,448,113,031,915,121,689,250,701,963,117,964,319,823,
240,520,130,371,981,765,197,093,109,820,868,461,531,058,945,926,500,598,188,
301,365,153,494,444,994,938,967,527,761,783,032,996,531,072,951,141,068,139,
309,802,131,178,540,472,201,988,276,955,384,379,013,125,154,353,263,956,762,
284,882,444,875,671,482,940,621,858,151,864,424,027,783,076,112,154,853,313,
978,862,514,008,019,359,884,189,350,231,304,169,688,197,063,405,508,160,241,
364,105,007,933,442,076,705,538,968,735,688,842,567,222,571,511,353,039,568,
431,486,517,719,620,851,024,782,044,528,351,722,979,820,873,000,859,876,440,
374,438,397,585,444,355,836,396,649,258,401,375,145,034,620,277,846,223,928,
095,792,926,682,515,470,284,677,740,976,196,231,011,167,368,463,140,204,281,
989,861,911,237,786,400,495,787,730,897,723,423,008,787,730,331,349,835,993,
435,914,038,741,278,172,134,315,372,311,584,769,093,121,563,735,820,416,582,
956,657,016,548,527,550,010,604,112,577,168,907,985,031,313,520,324,948,529,
948,612,317,731,221,044,585,158,049,273,850,213,015,156,645,553,820,393,548,
938,802,767,000,262,324,174,816,083,026,036,333,146,686,779,950,102,204,179,
619,404,471,034,965,164,696,395,081,607,554,408,769,114,596,279,968,923,921,
736,562,706,540,677,817,338,717,048,151,388,318,366,966,008,906,862,213,950,
203,467,257,092,939,187,395,605,591,486,718,316,346,122,105,024,882,840,307,
981,133,806,270,806,479,631,564,881,762,326,703,484,223,982,306,856,300,712,
100,551,424,881,105,641,964,979,971,891,290,865,328,382,310,454,203,918,842,
570,394,090,414,025,798,482,768,802,460,420,313,338,460,644,453,922,836,614,
712,856,985,339,285,089,952,056,316,577,116,685,077,840,948,818,759,507,796,
341,464,998,569,535,054,622,064,185,265,062,738,059,546,285,129,355,414,933,
876,912,891,428,100,834,922,921,948,122,648,422,414,628,063,952,209,569,618,
821,771,034,173,766,458,030,569,031,440,201,777,719,873,971,797,535,825,885,
071,426,141,503,448,550,704,538,864,835,014,153,218,464,490,920,169,063,263,
067,496,037,274,200,581,791,755,514,481,294,454,369,360,777,703,551,384,059,
551,795,844,620,945,247,353,134,756,607,243,620,912,857,423,942,382,931,431,
258,911,946,343,899,077,878,666,469,994,896,405,654,946,712,924,798,273,992,
861,550,977,013,930,726,890,034,477,992,950,261,888,064,932,483,280,792,950,
036,404,336,975,623,922,057,384,628,065,639,566,311,756,806,554,706,660,847,
490,517,456,424,463,978,202,174,096,072,551,079,899,371,424,475,882,289,095,
226,743,671,835,062,664,910,159,594,754,986,806,429,751,738,014,716,500,855,
813,543,479,028,156,138,294,792,650,110,620,676,257,646,875,755,001,980,585,
604,029,375,064,740,093,284,281,132,854,393,679,509,942,198,232,851,133,932,
960,248,563,845,472,566,234,718,565,682,535,957,535,777,369,027,332,149,882,
606,459,858,628,801,072,891,921,963,287,901,689,850,378,928,768,493,564,683,
141,226,313,785,851,493,828,284,511,555,944,689,578,118,584,164,015,193,573,
910,006,787,533,392,718,424,082,653,715,171,775,172,093,466,939,759,722,188,
025,136,766,079,119,250,057,683,116,895,577,381,637,182,207,398,653,446,601,
313,587,700,371,401,531,378,501,966,121,169,868,180,857,719,056,552,699,449,
683,373,988,320,705,957,469,714,031,793,863,956,019,768,737,255,417,790,429,
090,951,049,903,678,101,280,841,398,866,764,817,991,592,046,279,374,157,453,
390,365,669,171,033,508,788,784,720,607,559,659,136,046,821,182,093,621,716,
108,829,435,113,291,730,566,699,849,568,735,257,760,722,732,654,320,867,008,
193,780,676,772,506,222,577,417,658,155,040,278,463,466,898,729,688,233,975,
596,958,356,908,976,170,581,905,470,505,849,873,053,918,451,067,789,791,559,
011,590,708,435,618,268,800,628,836,539,007,061,156,712,248,381,281,453,776,
456,774,022,878,062,611,164,135,507,104,125,809,424,507,549,856,126,491,455,
747,580,250,104,181,543,617,085,731,813,478,373,866,823,795,709,370,060,661,
107,763,721,002,464,145,500,928,561,074,598,540,632,993,400,928,931,942,668,
326,643,059,591,493,294,730,472,125,444,455,285,557,392,855,487,400,223,567,
696,311,844,303,664,766,610,338,651,057,239,590,423,386,092,462,851,025,730,
337,026,659,436,394,740,439,362,549,896,283,932,367,095,104,328,233,131,158,
555,441,448,734,388,456,369,309,913,484,615,757,795,386,399,699,391,710,542,
545,761,685,993,577,233,495,074,448,264,517,631,440,639,992,370,796,475,596,
888,306,796,834,118,051,058,633,940,546,107,213,666,368,774,521,555,760,054,
976,046,197,331,615,770,613,762,668,313,013,701,968,354,979,585,857,314,219,
345,527,713,947,258,410,255,569,775,830,272,764,281,680,837,791,980,488,423,
813,240,035,463,444,779,571,728,206,436,018,490,559,771,840,333,061,346,383,
636,995,793,947,510,919,256,613,854,039,446,332,404,699,450,600,967,433,085,
175,475,431,026,756,860,826,303,237,932,224,290,261,546,760,870,919,470,943,
466,457,968,975,619,595,687,456,707,417,963,989,505,429,378,537,167,972,574,
057,881,759,207,710,615,221,432,125,570,455,403,858,084,898,763,277,441,605,
390,205,190,630,818,455,092,772,861,431,286,101,428,677,802,966,087,170,656,
283,333,534,337,615,140,597,759,995,579,641,470,460,635,029,879,013,180,725,
282,279,439,004,689,475,680,371,363,694,201,155,661,830,583,472,986,908,161,
563,960,464,784,443,291,201,316,431,888,598,969,179,113,142,468,006,773,000,
623,594,935,508,485,784,432,322,846,647,922,417,413,681,737,623,767,279,106,
357,607,503,794,022,692,711,456,353,443,352,442,152,070,402,035,036,979,228,
489,745,219,718,513,972,379,380,894,838,985,816,888,342,736,972,676,812,331,
447,829,882,963,618,515,874,189,510,955,636,512,908,239,650,022,244,549,876,
400,040,630,382,023,035,234,259,334,126,739,888,996,306,389,101,632,875,294,
587,660,314,978,973,383,234,167,778,477,845,720,194,544,977,882,541,986,213,
308,582,780,966,376,966,500,843,627,525,517,079,302,998,752,444,630,037,456,
470,515,849,142,195,340,812,742,458,972,266,611,145,135,511,428,977,997,436,
013,609,686,233,768,982,789,829,122,254,506,829,971,410,243,055,529,072,059,
130,196,722,570,192,952,493,018,272,055,221,299,373,221,810,194,167,107,623,
771,725,455,071,369,700,259,510,853,687,612,633,435,168,771,464,867,364,993,
595,211,683,454,681,428,764,346,566,738,778,281,506,545,788,372,516,617,662,
046,442,016,270,933,009,325,899,386,382,047,538,905,364,051,527,505,187,716,
377,843,030,408,584,082,657,870,517,761,402,627,260,188,125,435,936,849,314,
071,004,949,445,458,875,993,448,872,137,711,250,149,704,961,129,119,009,389,
215,058,479,951,851,629,941,392,145,994,389,259,109,562,456,689,385,272,871,
723,746,041,227,510,176,483,470,160,511,865,879,643,912,224,718,324,932,592,
688,054,785,697,283,114,675,559,560,978,532,972,596,411,123,183,367,343,471,
027,574,086,637,083,175,614,330,413,082,974,709,576,919,095,081,072,658,952,
998,826,512,504,972,319,209,418,544,071,530,758,839,507,624,683,811,501,738,
200,694,883,011,331,314,224,184,709,917,797,905,895,294,602,781,041,347,483,
519,929,205,640,360,085,214,437,129,601,477,676,374,901,559,120,865,090,871,
490,861,143,675,337,849,807,940,640,384,785,356,183,507,024,023,479,940,052,
530,416,203,801,115,179,271,372,397,299,681,712,069,171,349,571,457,010,027,
084,774,912,903,326,291,754,133,360,171,975,935,049,506,785,493,218,154,269,
071,126,113,328,716,321,318,981,789,747,912,656,786,383,015,103,941,724,789,
254,714,345,472,356,581,008,961,400,700,124,550,783,438,380,853,152,103,689,
513,359,117,246,481,507,332,350,455,314,502,045,443,850,034,343,036,292,123,
580,700,935,841,713,845,914,521,737,048,845,812,048,063,744,803,368,235,819,
722,330,054,554,550,647,324,291,180,015,793,970,399,399,769,236,426,192,714,
646,735,746,879,275,569,611,560,118,294,320,794,588,645,019,954,391,348,553,
943,649,075,275,822,615,720,997,290,762,323,161,087,631,127,673,505,581,535,
185,780,466,882,124,476,558,278,297,938,584,287,730,425,439,463,294,165,178,
686,173,913,494,948,270,139,629,791,245,725,128,788,964,792,592,576,642,109,
793,258,237,463,415,611,232,889,705,451,306,276,958,718,972,565,427,669,739,
412,449,711,108,329,998,905,551,618,477,534,531,110,009,010,076,569,976,477,
791,551,027,480,926,302,302,052,082,072,078,062,390,256,993,603,697,382,212,
191,792,801,207,632,463,986,574,883,740,285,418,885,637,483,092,264,126,237,
884,627,972,856,354,828,331,560,493,530,982,725,323,150,560,473,247,274,347,
171,016,055,683,872,289,969,634,476,086,433,782,131,469,915,424,113,722,242,
994,487,268,221,151,416,227,809,344,214,300,499,138,707,326,753,501,134,212,
929,079,614,404,833,134,732,127,443,769,709,371,506,191,074,120,071,207,259,
687,963,343,585,405,201,000,632,773,334,000,037,741,037,075,631,618,518,361,
245,658,529,725,856,836,547,147,917,426,714,275,979,075,975,718,987,400,441,
165,777,549,268,569,368,143,819,983,238,446,191,917,471,094,583,910,777,268,
263,874,908,978,049,901,967,003,663,016,755,591,942,080,053,765,104,196,297,
175,365,216,213,167,403,385,450,095,358,203,792,872,468,061,234,882,121,441,
877,633,259,756,125,983,066,569,756,159,287,112,172,852,656,668,181,115,664,
668,602,565,792,921,518,719,842,966,048,546,310,743,025,664,866,916,376,330,
972,398,511,572,661,272,318,751,735,728,163,892,373,221,912,267,499,516,731,
136,819,385,405,527,498,771,276,562,511,260,404,838,758,841,539,037,810,022,
363,254,404,819,475,964,059,360,937,905,284,691,728,961,839,651,401,698,248,
799,783,649,600,776,170,640,921,824,269,045,818,454,673,349,637,306,927,257,
336,151,317,621,673,468,861,532,930,838,384,745,976,510,684,319,453,575,714,
785,091,445,607,254,538,487,529,803,453,731,974,992,395,689,275,411,884,920,
529,695,347,358,133,840,415,163,205,663,923,216,806,092,702,059,873,746,635,
494,444,419,097,033,382,116,110,368,693,037,724,841,259,266,349,038,830,542,
206,693,085,513,473,479,293,840,831,658,849,751,319,859,286,138,255,307,357,
135,091,024,090,127,648,171,410,464,162,905,267,904,611,773,311,590,134,247,
495,889,848,163,713,842,524,230,331,199,858,796,602,900,283,160,886,464,676,
686,489,193,952,406,568,750,004,042,850,875,320,136,663,332,955,751,919,026,
826,897,555,695,929,211,687,374,184,661,377,165,631,734,948,430,736,137,567,
083,177,598,416,200,358,850,700,635,828,461,448,397,278,511,234,497,081,769,
532,706,849,470,049,576,891,684,203,733,639,224,501,545,116,905,639,207,942,
463,898,379,573,506,459,792,677,893,228,643,402,736,237,794,098,691,975,540,
708,610,705,408,819,147,205,339,774,867,228,075,082,112,382,758,982,183,501,
931,594,254,871,470,608,271,666,382,921,060,822,583,607,585,262,641,619,821,
454,279,971,943,090,937,794,240,407,088,523,201,080,594,457,698,029,018,642,
765,504,550,759,057,774,625,022,207,754,780,384,010,729,836,348,638,723,550,
048,254,448,178,285,244,424,020,234,273,770,987,924,191,248,441,264,461,224,
727,462,788,956,618,112,679,166,309,384,367,492,994,513,804,898,407,106,678,
598,741,819,983,090,130,899,525,973,672,853,164,538,767,003,437,256,651,986,
779,401,207,897,229,763,095,272,426,614,217,660,853,723,961,592,452,765,732,
553,487,569,947,485,930,244,109,501,286,970,942,445,276,617,850,431,072,135,
440,730,794,092,415,646,354,773,880,608,511,161,575,794,673,454,061,741,082,
093,271,842,994,805,230,269,414,416,271,724,454,015,976,870,955,566,786,970,
879,518,279,483,217,195,757,694,447,809,913,685,877,833,426,130,801,009,517,
652,134,542,524,861,442,846,675,815,710,495,395,395,133,589,706,001,810,525,
330,796,878,956,992,007,419,161,676,869,719,291,007,889,562,729,620,781,164,
582,550,923,242,399,179,432,264,219,262,424,451,315,674,500,648,532,161,795,
804,028,065,205,158,658,484,449,220,415,677,483,078,591,683,800,848,065,463,
745,888,910,222,455,984,070,212,981,404,769,347,024,594,038,833,061,189,793,
425,794,466,075,292,059,861,911,913,169,133,002,583,760,160,297,175,256,103,
895,429,389,546,710,937,964,253,656,233,707,053,395,622,560,449,463,517,557,
616,133,331,160,351,449,435,950,009,664,343,670,947,966,565,681,193,423,580,
950,493,302,231,807,134,505,199,806,836,987,689,694,240,050,880,363,055,340,
169,355,380,569,680,602,025,474,984,883,266,876,151,893,054,545,490,701,950,
103,190,925,681,548,590,425,902,931,446,065,198,475,357,360,860,978,072,249,
715,038,890,001,317,609,974,123,826,337,168,653,214,950,025,383,926,153,236,
765,522,416,876,007,732,825,423,696,065,175,892,921,437,021,334,988,717,877,
779,723,268,714,428,477,392,710,243,740,550,331,619,422,926,875,572,704,159,
934,510,608,864,527,138,657,146,426,827,353,995,238,677,990,075,272,819,218,
200,251,006,550,884,225,465,373,716,523,260,694,856,790,361,795,770,579,662,
766,036,069,718,267,655,527,542,299,340,486,538,246,994,246,751,100,908,745,
363,536,410,387,506,195,665,273,361,173,679,100,239,761,288,891,752,053,314,
626,188,396,614,812,810,162,835,891,481,925,069,111,596,011,986,395,631,713,
649,560,947,853,327,406,583,451,219,572,270,201,348,422,882,689,307,701,149,
161,472,891,300,232,538,984,317,896,992,841,969,651,182,471,969,665,916,909,
151,353,512,364,519,957,187,392,819,941,164,573,070,204,402,864,525,358,567,
993,086,827,851,657,626,157,753,621,290,757,661,900,393,417,858,035,870,160,
795,999,615,101,497,624,750,329,085,049,699,195,905,088,866,630,417,842,730,
037,812,892,851,029,525,075,302,266,860,191,831,142,913,384,121,728,520,090,
210,860,187,677,799,270,405,878,006,622,420,035,195,576,329,143,387,180,765,
538,405,374,626,265,734,200,501,581,830,968,227,473,829,092,762,777,053,494,
411,379,556,989,700,487,848,593,079,619,085,793,619,659,958,767,107,397,534,
729,010,598,384,252,914,953,568,912,635,106,768,677,650,325,913,471,301,934,
789,284,060,847,181,626,973,180,436,450,621,839,778,066,612,995,802,557,164,
189,266,184,510,389,873,843,735,824,057,537,226,530,848,069,506,587,575,214,
970,351,346,108,398,733,014,969,107,106,082,549,816,468,661,147,623,399,355,
047,227,139,440,931,140,742,121,415,334,646,962,733,292,297,962,423,771,119,
475,633,003,510,800,718,068,029,797,598,554,444,408,424,185,621,945,940,676,
955,739,620,899,670,023,256,148,036,013,326,923,219,799,722,514,443,599,252,
968,581,221,624,933,876,327,954,039,958,017,666,642,116,808,872,154,995,316,
324,555,720,475,531,090,124,865,081,737,311,291,086,092,054,249,974,011,054,
222,498,919,186,835,818,799,823,809,421,391,256,479,823,614,253,379,989,645,
036,453,742,204,167,368,112,126,936,170,738,569,407,407,743,557,622,379,042,
872,248,615,390,992,954,152,093,047,493,636,207,045,315,035,216,612,069,191,
161,055,358,069,182,117,452,657,913,411,061,617,238,127,966,912,108,380,778,
341,322,375,277,316,516,146,741,106,226,930,676,025,128,091,696,884,959,164,
200,161,706,927,924,594,240,210,838,701,841,717,154,152,255,020,259,205,227,
593,332,337,929,370,628,331,584,915,487,899,565,430,962,944,196,001,846,813,
020,729,496,606,297,886,865,287,041,693,566,396,343,702,857,936,154,357,657,
281,976,934,849,367,437,169,977,573,770,337,189,718,365,690,710,227,876,593,
656,452,241,700,240,638,738,688,474,533,250,787,743,151,407,244,125,989,658,
210,359,087,735,383,324,683,608,042,384,822,382,682,353,691,375,884,313,415,
419,777,271,993,261,902,046,966,619,545,168,489,836,013,835,512,957,999,245,
606,227,267,172,101,275,936,191,698,035,940,470,649,346,898,636,887,194,350,
631,985,301,218,730,781,646,386,355,080,025,068,778,558,634,464,121,389,687,
281,844,807,139,857,639,119,624,921,499,253,316,360,643,647,857,299,043,800,
972,283,876,265,648,725,615,064,703,235,681,589,017,885,692,246,117,472,945,
553,877,400,959,603,821,536,919,386,811,796,966,825,676,076,315,136,250,537,
528,888,295,898,563,096,049,830,836,220,398,939,838,009,438,087,926,953,566,
173,311,662,621,318,909,984,559,853,635,063,744,813,368,078,462,216,720,328,
994,984,461,563,215,658,338,845,621,964,428,993,177,623,573,259,936,968,466,
972,192,840,911,123,625,565,517,081,492,167,484,894,857,422,927,685,264,730,
877,467,200,119,160,083,384,744,222,550,563,394,965,457,298,932,424,245,171,
825,692,104,297,697,761,092,794,665,903,292,255,156,280,273,128,952,254,797,
106,054,182,981,631,158,856,217,282,816,153,746,084,639,802,876,301,134,091,
229,269,135,660,273,572,083,134,807,634,552,269,978,742,602,898,116,236,515,
943,930,179,692,362,145,476,730,742,379,758,246,237,908,558,020,876,134,614,
475,623,762,209,873,337,721,701,946,511,607,329,586,459,682,935,699,038,750,
814,453,189,957,757,482,857,426,430,010,067,694,076,355,058,067,681,247,380,
629,641,847,130,884,716,573,273,063,144,916,233,781,258,312,989,415,835,669,
725,665,376,413,596,905,767,155,790,552,924,504,526,743,345,011,536,771,071,
179,067,598,923,117,787,710,044,451,866,275,238,913,899,713,475,016,220,146,
055,080,904,904,498,957,804,377,500,136,321,060,953,311,557,784,335,432,939,
469,156,199,635,666,629,795,080,526,208,027,663,751,038,644,811,964,169,406,
216,428,503,420,521,667,060,595,919,238,510,258,714,209,107,121,182,806,290,
731,439,061,964,231,853,767,189,490,144,231,607,738,569,222,168,036,604,451,
520,870,809,207,439,703,547,438,461,538,284,585,922,109,134,179,013,278,736,
128,036,608,297,845,466,777,427,369,872,006,472,613,643,933,781,884,388,687,
891,883,077,147,660,098,073,018,034,501,446,031,047,745,967,494,864,459,099,
945,587,358,144,658,246,965,512,681,879,757,286,088,303,026,529,537,552,298,
429,344,787,957,027,245,113,228,242,562,638,842,371,982,105,481,706,890,899,
106,119,781,474,628,218,482,478,040,691,376,555,182,111,576,310,277,935,607,
450,801,905,384,495,524,548,361,740,966,906,880,745,632,365,133,804,890,866,
117,810,480,795,738,503,557,158,136,540,239,034,872,609,583,778,110,109,205,
371,570,136,801,296,351,108,509,177,498,750,076,475,861,885,177,212,061,162,
692,000,553,556,663,029,931,416,594,326,804,266,207,217,430,595,521,111,204,
024,887,311,543,067,165,783,411,258,767,638,682,895,699,656,593,304,792,970,
417,734,642,416,111,614,689,222,417,946,544,515,408,299,042,050,360,350,904,
908,817,984,480,603,860,545,566,962,643,314,160,748,709,657,902,537,753,889,
238,625,734,757,276,141,782,676,669,622,852,974,668,015,042,440,321,548,108,
404,935,850,623,341,893,007,241,028,185,978,006,478,900,379,594,435,838,230,
093,227,155,909,086,020,071,088,219,028,427,212,557,932,090,327,545,971,345,
498,890,196,832,787,694,118,006,462,011,978,161,619,742,982,884,331,788,221,
779,361,685,287,782,352,055,564,842,442,673,763,985,995,527,164,581,893,802,
296,328,214,623,039,537,851,489,580,255,952,426,412,788,324,813,384,253,474,
348,018,380,351,132,252,220,489,512,027,669,502,418,955,772,474,408,049,286,
700,314,220,974,794,346,630,691,896,009,087,072,611,344,468,216,706,097,070,
869,398,760,913,814,387,619,605,343,936,781,227,887,509,505,771,385,418,962,
313,557,729,880,848,073,165,873,149,929,177,732,860,238,427,746,654,641,113,
369,137,820,168,428,828,977,944,072,204,633,070,480,382,289,339,719,210,507,
375,934,220,389,006,532,899,199,485,767,549,310,283,557,902,776,650,023,104,
441,455,485,993,637,081,004,735,399,510,253,333,216,693,854,726,074,676,854,
889,356,561,547,828,455,594,035,458,333,617,771,365,212,591,886,497,873,151,
332,509,438,039,913,858,588,203,287,011,231,829,202,784,157,762,621,063,108,
740,753,146,657,028,669,459,099,497,379,331,416,643,020,009,072,040,870,347,
042,927,993,415,227,150,029,922,433,195,858,639,213,472,431,344,894,362,361,
354,555,229,274,440,168,456,596,903,960,708,095,409,185,693,514,082,260,781,
130,232,028,697,227,047,530,750,730,210,394,941,074,004,888,167,797,109,595,
742,931,652,520,935,408,133,008,444,485,845,475,260,782,284,981,150,041,144,
157,700,170,716,373,475,364,100,210,233,544,708,302,657,563,813,117,774,770,
567,494,263,025,589,339,478,600,075,096,300,830,926,364,440,937,073,670,079,
241,052,371,097,328,686,496,479,399,786,625,036,634,603,111,611,437,420,863,
517,410,710,045,878,845,338,922,094,133,838,596,652,037,715,317,812,136,532,
692,012,204,886,255,355,916,315,776,154,079,537,018,445,170,098,040,638,802,
845,184,713,699,664,879,885,786,247,559,184,355,914,210,680,490,570,600,428,
970,400,502,865,404,043,482,271,594,876,064,426,640,650,523,118,238,946,235,
535,253,127,475,012,892,297,590,675,653,874,474,935,400,877,330,980,993,344,
799,465,176,214,733,249,639,232,718,960,863,406,322,105,380,877,681,162,071,
649,952,886,406,726,446,930,973,112,507,126,305,287,805,492,253,593,748,945,
530,821,668,919,145,044,638,555,771,328,795,995,887,994,818,892,957,382,471,
025,620,897,220,667,551,300,872,057,496,849,247,815,624,965,361,428,866,203,
434,537,568,558,280,680,206,170,621,326,167,372,383,625,649,512,638,021,921,
456,370,881,885,618,244,618,786,845,260,548,728,010,029,805,540,694,867,488,
379,493,515,279,236,379,785,023,135,488,688,735,915,056,947,619,981,919,151,
224,244,489,060,841,933,526,516,157,181,913,934,728,518,293,177,181,471,631,
436,248,622,229,032,976,082,778,810,131,921,259,872,563,352,448,871,833,960,
085,253,936,761,752,049,505,765,164,039,106,431,538,999,817,740,313,622,287,
072,363,172,790,661,901,876,874,984,515,185,945,416,401,361,824,973,834,645,
221,486,054,439,711,935,345,829,613,554,962,323,837,149,551,525,855,852,796,
835,039,845,404,226,532,012,217,902,538,739,106,877,916,732,244,809,368,598,
448,675,655,901,068,957,016,291,615,448,271,723,859,421,391,773,287,211,214,
899,567,556,971,238,120,809,695,463,574,625,012,496,268,209,800,935,690,421,
119,677,600,481,487,971,984,952,281,695,093,152,353,849,954,341,505,578,079,
194,801,246,628,081,278,543,225,724,168,394,831,439,417,483,581,843,538,099,
147,031,887,564,604,092,135,864,115,389,533,005,376,342,074,486,451,805,646,
470,245,267,867,388,802,182,538,142,213,994,202,033,829,674,156,262,960,999,
615,868,782,511,253,459,335,846,454,742,834,892,007,239,615,127,663,803,058,
561,068,509,257,332,881,447,399,925,514,386,830,607,728,403,193,174,704,855,
964,131,450,777,772,626,800,049,035,394,056,016,279,116,215,100,631,639,796,
865,852,149,978,428,196,982,184,665,439,702,691,064,361,169,603,889,343,839,
561,177,517,566,655,924,656,276,295,170,216,331,841,983,227,362,411,558,524,
636,185,502,156,317,655,754,470,834,414,595,040,174,960,258,339,646,018,727,
588,542,961,057,774,463,831,706,119,851,406,622,976,584,218,649,731,644,015,
602,554,147,798,736,109,904,395,811,718,547,350,770,034,903,642,062,365,566,
006,791,060,969,719,021,040,129,062,988,898,800,837,714,055,186,007,883,874,
296,923,320,602,750,818,172,642,859,445,652,074,323,876,351,922,618,029,427,
647,766,675,715,546,973,280,144,686,065,359,376,861,183,127,578,511,741,170,
378,210,532,232,666,940,834,695,611,745,386,835,676,595,900,198,339,626,054,
011,110,253,328,611,124,375,456,336,987,306,583,131,234,101,424,599,629,709,
874,061,698,134,660,029,140,082,426,769,471,284,798,462,174,574,095,507,509,
767,159,748,375,351,683,534,242,395,891,332,469,850,772,720,018,245,542,919,
200,997,829,006,498,599,022,159,260,294,482,262,239,442,666,133,991,913,856,
327,002,578,567,493,488,879,083,752,516,523,475,521,880,722,003,559,260,595,
096,758,727,370,167,158,386,941,782,277,141,256,385,789,735,949,788,280,009,
384,152,841,158,640,543,881,959,090,734,616,924,409,436,075,363,550,195,640,
012,484,686,447,201,680,569,945,941,893,138,708,177,952,943,225,403,997,177,
737,278,548,699,722,562,944,420,965,284,319,687,556,918,772,751,714,941,069,
415,349,101,694,690,721,865,729,999,165,232,512,085,405,506,606,592,770,847,
319,937,999,315,298,889,193,955,186,674,291,566,598,609,102,397,295,379,972,
962,771,220,941,870,544,495,480,457,030,976,830,471,402,293,989,969,694,839,
286,638,544,813,992,994,263,660,714,648,303,544,404,922,590,527,047,174,643,
485,471,155,377,254,026,271,926,298,044,040,465,527,552,420,574,559,285,836,
661,664,756,359,976,315,496,467,806,213,765,617,725,673,847,340,664,722,691,
547,318,842,518,231,259,079,113,462,342,785,062,683,451,845,708,411,253,486,
901,147,427,389,624,697,155,285,931,654,103,032,442,374,103,730,720,706,216,
403,257,881,662,872,037,482,641,141,174,813,724,793,696,721,500,438,948,435,
702,103,238,472,268,481,904,260,873,746,896,308,062,287,849,174,937,248,075,
708,738,905,156,148,763,824,285,959,373,059,523,056,950,777,294,081,326,838,
458,873,599,822,652,417,020,205,740,561,945,095,914,499,404,431,173,424,594,
292,430,940,182,624,624,379,841,773,081,090,608,426,041,513,161,835,521,854,
218,959,960,499,061,811,372,813,726,394,756,549,364,985,639,869,412,805,173,
287,027,417,076,819,115,897,054,843,681,514,089,312,655,559,514,538,335,923,
362,271,347,881,122,438,963,741,458,208,827,142,143,192,556,842,739,030,527,
089,353,647,835,306,649,257,075,324,677,146,506,805,464,075,259,531,861,121,
218,825,715,119,678,178,394,281,394,860,376,338,526,213,522,370,892,084,105,
193,672,228,655,759,681,425,196,111,279,663,294,963,127,573,938,024,592,125,
610,127,328,313,017,108,852,712,630,514,783,231,170,119,448,159,491,351,461,
439,374,742,625,382,171,259,827,195,650,566,593,049,349,163,321,634,183,163,
988,911,594,488,486,151,189,692,829,433,001,049,923,382,209,061,103,678,976,
316,686,871,693,265,854,220,347,028,775,679,753,934,657,483,713,143,421,763,
585,789,762,690,692,068,566,150,803,533,347,078,911,218,133,641,760,266,610,
072,201,076,365,013,599,673,847,228,494,247,370,911,827,022,133,260,868,600,
296,192,534,194,651,064,508,177,294,293,221,728,124,815,825,015,998,094,721,
982,696,029,796,456,898,488,953,303,674,548,486,663,711,355,509,342,686,207,
033,127,958,784,128,634,058,672,583,416,497,348,870,020,749,157,307,403,771,
320,686,519,250,964,928,218,375,914,867,927,064,239,791,675,824,795,911,231,
231,183,574,778,040,138,546,815,853,480,640,753,294,301,388,341,268,726,954,
680,478,649,045,933,549,987,801,997,569,218,158,055,935,190,652,664,605,304,
072,169,980,348,230,265,152,003,410,144,985,129,178,633,264,948,625,217,867,
131,307,516,657,176,961,709,142,585,673,939,185,642,047,193,823,540,328,304,
092,289,307,438,964,632,033,425,260,586,234,680,575,320,825,849,902,396,049,
377,002,118,328,655,919,669,014,704,061,077,108,576,353,334,553,814,338,183,
361,111,368,466,778,254,066,430,973,779,856,602,472,452,869,717,449,617,090,
188,445,975,860,040,636,193,959,618,475,812,496,729,681,558,025,442,975,101,
903,178,032,660,300,633,965,142,335,616,548,934,727,237,947,609,217,039,804,
923,733,843,857,118,835,880,826,922,095,783,466,091,303,812,763,251,764,580,
896,184,548,674,174,076,051,666,294,091,849,005,797,441,243,663,861,919,148,
445,501,549,693,843,103,128,457,682,374,816,429,011,044,191,783,300,442,320,
813,118,091,186,068,042,200,352,752,190,866,869,979,805,459,248,208,649,892,
433,948,415,767,403,798,620,531,371,229,695,933,453,025,758,617,011,376,509,
674,790,007,964,848,717,402,793,879,362,110,130,759,046,440,580,919,824,977,
380,683,045,622,951,197,292,789,008,236,821,437,457,409,294,633,059,895,860,
191,785,959,459,651,737,186,240,930,105,411,269,896,339,433,038,243,207,120,
204,539,206,717,942,319,046,389,449,964,194,319,843,430,874,321,815,530,752,
538,028,411,467,891,900,441,898,973,291,901,878,839,262,930,669,511,724,164,
465,975,484,906,941,505,048,708,233,219,582,288,877,960,386,317,118,977,592,
479,143,043,957,050,901,212,397,816,870,017,073,218,026,551,630,418,585,910,
298,338,651,536,462,561,148,401,754,823,418,559,418,794,075,045,004,728,094,
861,235,104,583,009,134,847,421,769,560,086,694,731,844,718,257,654,387,552,
881,435,489,093,817,970,389,176,461,464,083,012,470,955,792,755,043,261,721,
519,748,947,220,273,085,742,892,149,172,090,923,889,626,938,335,225,900,854,
970,577,167,379,703,402,904,526,584,627,887,590,031,582,300,415,490,662,269,
362,203,636,431,793,082,664,850,025,568,194,423,793,761,317,990,716,559,999,
501,758,105,943,984,478,661,281,640,802,178,601,081,695,554,587,498,064,263,
354,417,484,672,308,520,026,264,320,990,506,011,397,831,679,770,543,640,169,
500,768,624,437,969,732,965,318,448,611,144,827,634,696,723,647,418,449,864,
790,460,776,476,559,214,937,681,399,147,114,462,774,073,388,645,904,064,575,
002,937,263,461,332,736,397,587,404,847,653,657,332,929,649,168,274,936,229,
883,943,891,048,277,241,821,717,882,750,619,355,861,416,679,454,552,124,814,
934,209,782,804,962,674,552,127,699,032,030,232,376,496,667,485,024,957,141,
682,369,718,187,544,979,461,914,041,202,248,927,573,419,194,648,032,857,767,
237,175,588,045,015,876,856,007,283,206,841,243,828,425,075,966,973,000,918,
214,326,700,474,037,974,895,570,454,058,240,186,714,323,870,240,718,934,889,
427,732,296,953,727,537,932,318,410,190,898,585,976,830,685,364,654,385,561,
886,833,183,041,871,568,518,508,691,229,642,040,088,359,246,023,011,893,324,
346,655,858,351,893,614,472,067,873,833,929,082,023,278,404,387,344,105,992,
534,066,168,949,763,979,967,641,803,429,953,237,897,726,906,591,673,722,982,
071,993,660,150,374,690,688,304,186,536,091,433,549,667,280,791,522,587,269,
453,353,237,045,347,876,402,608,820,434,576,724,946,500,076,130,812,197,850,
985,450,303,121,104,721,299,192,009,970,894,371,538,416,142,601,018,506,252,
550,356,740,305,322,596,994,563,367,872,410,512,183,036,189,492,312,756,851,
301,839,331,190,780,001,852,475,689,127,506,408,312,603,603,894,256,274,676,
100,656,091,631,277,768,037,063,830,820,061,855,117,368,087,477,334,421,551,
497,329,107,796,672,506,618,013,678,521,147,205,388,769,465,782,488,871,277,
646,901,943,594,326,875,340,072,365,196,435,324,077,693,438,468,454,315,127,
131,889,938,570,654,835,522,450,782,323,722,918,742,070,497,166,564,581,074,
765,704,380,125,078,221,027,513,113,098,377,971,348,988,940,942,102,396,746,
203,009,050,629,137,668,887,422,041,065,735,787,929,517,737,923,968,638,930,
581,449,835,885,862,816,311,694,809,899,113,586,147,141,588,784,850,962,252,
637,921,235,571,159,450,673,165,026,783,393,386,897,000,626,556,127,949,206,
755,713,763,526,776,170,806,226,014,909,759,114,643,085,452,899,542,463,958,
875,623,061,097,871,717,356,867,571,694,589,858,305,216,410,089,521,330,413,
302,361,217,899,741,592,810,966,165,170,341,825,132,944,864,578,658,535,099,
140,090,674,910,149,608,212,182,407,251,630,099,577,392,957,689,315,930,146,
080,850,638,564,276,029,436,279,056,940,860,561,802,538,532,757,937,695,357,
631,829,807,152,607,832,903,038,273,863,220,104,983,740,644,573,538,227,779,
779,759,020,318,578,059,336,485,866,704,543,532,441,337,125,571,299,635,252,
325,432,999,675,225,828,396,933,653,333,716,976,642,282,066,559,682,981,240,
279,523,292,030,176,544,968,784,575,607,352,475,730,429,312,293,305,843,180,
874,223,415,306,850,266,576,343,046,028,809,514,204,732,473,951,589,039,107,
007,546,083,059,563,424,188,252,022,717,671,890,636,022,612,682,357,598,561,
588,903,550,076,150,325,319,709,853,213,485,432,556,719,156,826,203,243,397,
757,319,631,978,218,592,917,470,840,276,617,911,120,896,821,589,894,614,949,
186,151,767,466,663,801,994,849,231,845,969,914,996,626,026,539,966,229,568,
048,231,024,857,626,940,602,112,083,600,798,254,298,310,408,981,701,515,806,
343,491,233,817,723,208,406,577,746,064,841,567,170,920,406,922,835,434,059,
286,577,400,229,799,049,869,655,382,870,504,766,393,847,299,288,716,152,031,
436,097,827,102,564,550,250,587,226,356,051,982,590,640,332,193,608,360,825,
344,757,342,329,143,616,905,756,891,274,808,799,402,978,691,018,704,548,644,
218,621,997,903,651,705,904,891,557,422,789,548,406,389,237,080,349,920,084,
518,522,349,324,405,554,047,627,395,012,912,824,358,622,195,059,153,656,482,
638,274,440,464,198,324,524,974,382,989,714,719,841,993,131,014,732,151,022,
356,210,567,397,109,208,122,397,451,377,708,491,659,268,290,119,384,686,472,
075,420,790,575,822,242,025,390,128,190,321,718,918,409,899,064,847,639,581,
779,472,174,325,837,608,767,777,644,034,894,804,274,370,955,848,987,567,218,
043,651,027,543,487,285,466,051,405,568,349,837,487,740,723,108,652,116,947,
951,111,750,322,403,140,441,385,524,864,546,144,257,440,940,484,311,249,551,
757,839,373,714,756,164,376,984,918,656,905,045,036,184,853,381,587,779,008,
296,341,462,134,929,274,680,979,902,175,690,727,910,670,133,809,444,650,426,
026,620,864,037,648,532,088,019,315,943,311,403,146,835,118,321,009,306,677,
130,679,344,134,498,550,430,161,674,496,361,236,288,595,081,342,770,202,408,
096,011,889,379,717,840,172,885,952,070,612,253,167,695,875,898,364,267,721,
745,414,877,113,021,799,517,296,789,977,557,639,422,644,183,302,070,171,957,
146,454,797,212,433,858,937,599,361,543,515,331,421,925,926,678,507,044,988,
836,703,507,216,799,122,923,896,763,554,924,278,339,369,503,272,919,268,867,
075,303,216,506,410,671,057,495,888,659,246,763,909,408,764,797,242,261,804,
436,148,238,080,218,448,063,238,928,075,067,816,814,337,671,807,692,024,730,
661,736,822,988,185,463,938,998,928,849,159,693,192,313,073,931,602,463,116,
700,066,981,370,231,521,770,481,428,421,844,159,436,327,618,125,020,202,759,
952,945,667,929,486,426,895,356,591,372,429,658,935,868,724,061,901,639,730,
383,896,209,440,448,151,694,563,557,588,006,238,715,922,166,127,253,008,164,
669,979,876,735,513,169,581,364,945,851,808,447,565,430,611,032,533,925,536,
150,402,428,452,949,975,843,966,540,379,793,684,610,206,720,156,496,043,496,
861,534,736,426,945,109,521,756,875,543,622,493,234,252,981,047,285,492,569,
172,937,476,196,940,503,773,855,271,908,564,429,822,723,057,581,024,444,480,
407,231,048,862,057,440,632,029,538,587,053,653,553,041,451,684,616,811,165,
754,358,947,853,259,894,750,044,767,719,096,952,424,711,041,823,479,240,896,
357,644,598,877,263,704,685,502,791,225,890,901,099,307,389,305,950,026,972,
891,741,869,042,826,814,732,531,681,525,188,778,086,312,828,743,810,149,480,
820,735,680,649,902,942,281,448,527,289,019,907,220,734,715,353,501,049,750,
340,657,438,185,407,149,310,163,231,314,480,186,928,751,939,678,763,174,929,
216,031,398,079,156,334,120,810,730,207,791,514,867,120,786,860,412,120,156,
446,767,935,504,016,515,042,841,358,715,094,157,635,403,018,592,637,037,427,
811,027,648,720,470,418,371,511,797,909,791,153,965,296,737,591,275,335,558,
938,676,293,669,753,631,546,863,640,673,394,777,955,104,111,896,466,073,665,
202,184,750,193,840,529,158,473,067,265,239,370,434,323,557,666,791,524,044,
689,885,603,297,252,827,998,841,936,072,917,616,865,930,620,338,739,529,321,
881,222,731,796,870,474,565,644,541,747,151,303,315,263,405,525,030,229,936,
017,924,442,907,588,584,017,303,247,505,783,339,572,520,732,128,555,994,476,
531,863,727,702,378,833,314,456,280,992,454,956,250,925,423,672,227,243,760,
152,823,886,767,402,905,737,980,820,036,287,935,277,431,023,923,401,802,727,
196,643,609,007,475,293,846,668,873,108,918,294,135,975,510,501,959,993,753,
790,505,186,321,562,447,946,540,888,577,169,588,222,706,215,566,168,640,745,
225,483,666,414,345,200,334,457,424,109,967,307,486,668,775,168,087,792,797,
447,175,706,545,537,668,403,934,899,027,103,394,531,577,228,206,438,858,607,
343,705,870,160,110,170,938,352,204,338,208,513,669,325,133,578,805,244,925,
663,774,485,493,383,071,847,995,008,632,462,634,977,162,296,287,584,926,521,
407,206,072,161,652,147,286,450,262,169,662,252,063,844,325,737,390,471,839,
019,855,789,262,225,782,115,918,454,882,174,216,510,468,836,133,833,095,345,
532,478,838,170,040,414,100,752,300,780,316,015,157,651,727,228,709,565,030,
153,097,907,514,406,197,823,382,157,593,821,406,610,947,770,538,750,781,452,
338,166,125,456,258,251,079,889,438,166,979,133,859,299,377,943,673,675,616,
928,522,257,056,540,339,287,157,127,432,502,739,180,214,670,023,649,215,957,
651,015,021,169,344,613,433,924,654,276,846,420,146,441,519,203,251,103,996,
705,057,299,959,989,885,949,785,479,555,745,760,476,339,662,248,215,875,142,
393,113,441,803,321,646,385,011,063,877,339,180,902,265,591,450,794,818,310,
145,872,039,211,154,064,661,151,134,913,661,471,021,627,122,188,588,601,815,
541,302,901,722,359,524,909,929,558,442,779,093,410,490,794,320,611,857,419,
472,122,597,207,992,181,097,974,161,395,864,460,025,313,546,008,426,128,039,
484,491,130,305,211,064,320,306,624,575,859,188,871,653,780,970,323,984,182,
784,706,412,267,945,281,090,061,928,642,655,351,114,122,073,620,521,554,194,
157,458,407,888,448,364,228,035,528,326,404,558,819,144,549,344,393,436,338,
990,990,874,621,023,535,021,926,190,829,173,902,621,008,056,700,559,843,354,
770,119,398,597,613,325,061,638,492,762,177,676,545,601,920,654,729,919,505,
510,941,793,870,426,504,686,990,978,620,806,663,033,202,207,460,343,967,984,
105,051,051,870,154,546,461,335,880,236,716,276,711,394,489,398,682,221,675,
182,459,624,799,198,648,242,113,691,241,392,168,526,264,652,204,331,860,097,
772,050,404,551,736,777,128,967,287,995,868,842,589,207,997,575,288,269,454,
867,013,913,978,584,203,996,006,067,629,408,407,250,288,387,216,840,729,617,
639,800,407,924,354,875,490,196,863,747,883,913,864,822,895,670,019,665,982,
905,470,929,067,278,449,637,534,938,452,053,616,653,259,593,207,235,520,149,
118,754,056,931,518,365,892,596,313,033,967,521,271,916,656,476,751,709,183,
865,470,060,701,369,330,329,137,595,867,150,070,373,704,157,293,042,547,804,
630,492,313,175,849,378,439,091,994,497,996,465,509,953,809,323,045,003,382,
899,554,934,926,064,322,901,993,243,377,409,537,689,540,982,241,463,947,423,
782,539,632,906,526,362,899,803,065,888,869,057,715,760,984,511,872,005,035,
987,393,800,721,607,572,326,485,112,794,569,029,040,988,928,974,649,776,246,
052,508,178,030,354,651,112,537,679,761,147,956,989,277,555,195,462,881,667,
648,512,571,848,794,906,728,997,149,478,624,103,315,173,666,301,060,944,926,
676,329,451,517,030,493,090,800,723,344,542,751,061,124,653,234,395,356,069,
074,599,014,907,406,700,215,338,397,472,199,377,928,612,894,543,962,846,072,
517,602,357,399,185,662,001,629,897,676,705,921,889,194,370,897,208,090,227,
114,199,728,229,087,163,714,371,929,491,071,301,009,476,439,096,417,306,630,
069,338,983,085,622,914,217,858,598,659,263,867,009,616,592,228,829,485,866,
184,599,698,832,136,354,751,125,288,717,855,398,964,036,830,662,387,715,566,
230,186,858,644,508,719,736,134,994,842,624,440,383,202,924,305,901,588,331,
766,589,764,575,451,263,333,102,580,687,155,808,125,639,800,726,019,320,411,
871,013,526,013,128,252,570,441,388,891,712,080,029,373,918,518,899,549,280,
845,554,626,854,108,840,446,977,673,281,466,049,011,369,422,249,988,166,554,
386,494,841,815,894,551,555,924,102,840,749,670,784,826,563,543,597,225,655,
281,292,901,376,828,272,910,138,285,267,716,438,987,592,132,001,969,244,687,
316,350,428,276,249,659,042,399,367,117,637,603,848,455,447,162,567,266,130,
166,530,830,966,022,410,547,356,542,366,172,378,048,334,553,957,540,079,543,
414,695,660,378,772,216,558,272,729,565,891,620,560,630,925,453,604,010,223,
640,414,780,586,678,355,530,613,853,290,785,851,169,782,160,834,037,860,455,
016,962,039,153,154,763,938,576,751,006,254,361,023,934,842,751,321,463,150,
780,570,957,200,869,740,370,482,535,076,740,718,148,998,238,716,778,169,973,
467,124,730,637,211,881,935,818,421,784,827,932,677,601,265,824,289,548,875,
079,226,825,563,655,934,932,066,585,037,077,976,969,268,412,242,047,214,331,
753,176,352,414,452,186,041,096,639,981,659,181,464,553,196,588,998,004,991,
657,021,794,234,838,732,864,956,073,473,542,589,389,062,644,297,764,244,785,
221,783,510,194,189,166,241,326,095,151,896,295,805,922,059,333,503,356,720,
856,068,184,510,606,518,538,414,790,478,163,379,308,942,014,789,837,766,875,
639,149,543,985,637,080,049,671,081,510,659,204,069,022,637,537,021,617,118,
009,683,390,665,767,622,713,246,474,124,663,644,553,033,999,681,757,268,883,
107,652,367,483,011,308,459,209,742,841,278,556,427,321,605,685,383,773,190,
545,172,934,809,627,291,099,808,202,805,750,497,066,740,331,971,149,167,027,
007,817,005,268,391,038,226,296,510,495,015,962,191,021,394,391,738,061,157,
533,015,397,905,117,234,791,891,400,717,692,237,051,047,990,991,777,284,787,
111,415,316,506,475,726,313,035,278,799,153,773,149,117,047,133,570,549,834,
591,745,605,816,544,748,346,871,665,088,630,404,518,784,254,029,821,224,372,
716,452,387,862,520,377,716,044,010,954,269,109,309,373,830,141,072,818,704,
819,406,359,948,359,349,584,012,053,995,069,066,376,248,337,143,861,538,100,
914,293,032,223,797,586,143,822,698,048,355,586,667,307,611,361,569,465,454,
217,321,307,998,381,749,583,814,557,978,242,626,165,441,251,463,117,857,455,
737,034,688,441,192,399,819,507,110,807,896,287,988,625,838,736,054,789,140,
054,917,453,379,478,259,992,228,313,047,996,766,189,951,026,501,046,217,204,
336,683,158,721,885,171,085,545,525,979,577,970,620,833,231,198,773,524,019,
553,597,854,872,804,488,361,764,021,294,563,034,727,266,860,744,815,215,572,
364,914,096,385,845,856,508,476,078,883,883,467,869,737,377,076,102,613,238,
981,217,985,110,315,047,586,009,637,734,150,108,471,282,496,210,792,877,502,
150,613,735,020,906,239,148,919,635,830,747,435,675,504,170,838,021,877,560,
116,903,894,131,507,454,543,889,901,602,123,638,307,866,788,544,915,420,755,
487,900,381,756,178,573,225,824,368,214,210,640,965,373,670,196,874,064,496,
460,972,956,705,128,125,901,522,259,036,774,630,027,662,804,113,585,876,745,
475,536,714,729,300,091,451,221,254,353,630,518,976,610,970,593,763,567,162,
334,470,826,787,897,586,377,849,473,645,130,465,323,910,462,960,784,059,845,
930,950,037,015,416,484,507,106,291,447,510,420,555,453,681,184,238,798,319,
298,998,224,146,534,754,110,217,829,879,193,646,586,044,340,514,145,896,548,
252,135,006,620,250,514,433,957,388,809,324,639,127,282,195,664,688,283,620,
025,081,799,248,482,099,322,202,999,831,589,218,671,100,445,892,000,814,840,
019,745,732,814,735,337,891,746,829,854,429,179,300,145,435,105,577,395,039,
667,408,134,281,578,217,438,217,284,786,120,299,275,051,071,611,804,846,721,
292,718,443,710,642,157,729,159,176,578,368,264,238,175,467,027,453,114,755,
422,539,929,887,107,332,662,860,564,076,703,393,191,751,947,949,838,574,420,
330,821,201,004,772,855,929,163,739,469,071,236,520,909,804,952,994,784,830,
244,400,567,834,235,810,370,850,392,033,216,587,939,021,625,877,107,008,920,
776,683,167,494,654,490,615,932,709,370,206,188,653,297,179,053,408,077,034,
745,207,361,287,675,851,692,486,946,988,918,017,832,496,332,466,311,614,939,
472,892,771,242,438,542,148,654,081,843,986,138,854,717,187,028,966,933,663,
873,601,290,564,089,819,735,912,735,140,134,116,582,669,824,652,574,888,982,
783,030,153,035,280,884,215,815,640,591,878,082,288,710,365,473,139,120,159,
812,689,041,674,855,574,078,767,330,201,101,253,614,173,934,132,225,305,827,
936,216,748,440,670,646,826,001,325,925,456,955,356,111,087,640,895,944,098,
829,971,557,615,837,692,360,112,992,302,841,544,633,630,952,759,178,709,562,
310,303,782,917,313,822,135,933,688,803,165,687,814,019,293,080,467,600,350,
252,115,482,837,113,546,153,547,332,840,353,753,277,617,175,352,616,765,797,
915,218,115,144,340,284,939,850,378,654,582,200,429,334,039,901,319,642,535,
108,104,457,027,337,398,340,003,353,939,416,480,700,459,364,127,037,495,698,
122,979,311,378,383,692,483,365,415,928,406,845,051,694,817,421,942,354,936,
292,505,164,800,248,826,250,227,810,215,987,139,543,164,140,341,944,015,307,
239,021,330,801,365,717,349,428,726,421,619,914,940,601,823,998,982,521,791,
908,857,592,079,830,353,599,162,323,659,682,614,622,231,248,169,914,538,287,
903,548,716,304,895,198,541,377,373,538,591,628,343,884,117,502,410,141,671,
361,338,074,651,976,859,663,642,119,813,755,218,991,317,883,505,650,031,563,
666,049,866,055,096,444,059,931,775,678,388,272,388,380,932,347,734,641,788,
561,799,548,302,257,491,332,078,925,171,985,933,011,266,823,520,207,784,036,
527,627,658,067,781,319,987,431,074,276,220,997,628,244,966,477,103,312,784,
007,285,196,391,848,021,221,107,456,069,441,181,961,064,653,120,126,072,515,
854,350,559,179,640,085,676,740,616,561,604,546,826,864,431,586,124,763,619,
197,909,514,925,241,357,416,068,176,516,766,529,153,391,789,979,891,694,507,
436,438,098,445,043,803,427,438,051,419,266,181,306,148,531,138,491,477,581,
475,732,508,454,332,152,359,466,608,296,300,821,887,883,218,109,075,513,949,
765,194,640,504,551,931,553,253,554,443,204,417,862,207,255,956,404,240,921,
813,264,223,608,186,353,875,984,129,955,019,068,793,310,519,772,039,574,183,
569,152,477,423,531,195,170,661,945,698,639,555,863,653,345,479,192,454,786,
172,566,400,886,620,331,994,033,194,491,828,099,698,501,177,621,620,666,088,
041,184,902,090,290,854,240,348,332,549,250,102,295,644,707,402,121,707,928,
096,770,767,433,056,029,352,101,302,573,484,948,502,364,721,255,936,218,082,
369,480,635,854,448,491,703,958,523,023,279,704,684,853,845,196,811,762,504,
565,208,144,219,936,246,143,940,888,638,122,291,909,230,943,364,602,077,307,
982,411,888,627,056,274,790,144,330,434,730,229,116,393,758,282,207,682,749,
057,747,216,193,871,667,610,833,860,183,800,181,943,913,248,439,198,280,947,
883,801,912,410,295,550,249,242,916,257,171,038,889,101,011,636,012,335,535,
566,348,858,594,137,628,992,455,063,794,656,970,566,897,797,996,030,617,704,
336,786,207,350,498,645,806,550,451,213,229,480,358,206,551,170,967,403,529,
391,668,549,421,380,375,190,496,835,022,609,410,095,254,743,668,830,010,340,
624,611,585,846,600,184,623,948,705,768,634,033,661,538,185,921,101,102,241,
008,379,306,414,987,882,804,205,163,530,986,537,507,662,901,324,959,273,240,
539,532,439,911,487,664,230,979,255,316,559,207,735,720,814,276,582,966,973,
674,601,651,022,804,496,691,666,901,628,592,911,651,676,150,946,049,858,113,
580,811,712,844,195,867,598,666,181,542,142,759,715,931,868,039,375,741,034,
106,182,575,238,654,721,917,349,043,170,006,279,169,022,069,249,786,191,656,
830,961,786,718,726,333,781,945,648,083,829,184,535,252,058,083,497,100,706,
343,025,150,101,893,423,018,153,936,930,315,642,772,550,802,791,316,134,788,
209,771,478,459,741,555,987,767,080,902,722,031,002,965,496,201,027,121,626,
691,711,500,517,490,727,871,312,767,316,653,090,925,470,033,561,262,351,216,
919,757,246,877,737,389,492,584,583,443,932,847,166,974,760,307,508,127,608,
292,734,885,850,187,599,670,174,763,860,927,728,364,602,810,892,756,193,780,
659,016,390,696,000,827,656,517,934,206,481,333,096,849,033,308,658,073,435,
851,480,276,236,135,957,153,031,709,270,203,230,364,309,824,144,017,592,865,
396,136,603,678,609,118,233,256,679,927,869,718,597,793,673,759,481,050,428,
276,505,967,180,769,454,657,911,844,413,025,096,200,749,331,212,735,731,865,
389,337,742,350,227,237,583,357,943,175,417,056,488,282,770,557,639,505,800,
478,969,894,654,778,018,903,321,957,381,367,701,510,496,472,405,193,369,589,
961,102,101,045,672,617,089,164,344,726,963,755,700,805,071,499,072,419,679,
967,709,965,562,681,372,046,280,971,913,468,574,262,611,545,532,272,187,656,
086,365,333,310,121,341,327,272,967,405,640,913,001,322,154,191,835,290,393,
122,428,761,313,820,600,311,324,183,439,720,572,640,464,769,463,119,713,725,
687,320,523,187,802,634,849,560,669,987,872,238,513,567,353,047,252,455,535,
728,985,850,472,592,948,080,017,352,479,293,247,318,372,345,331,198,282,876,
637,537,194,912,588,324,018,472,297,467,197,081,806,801,845,104,720,669,264,
219,684,915,856,857,015,516,401,870,115,668,657,444,792,766,095,741,676,838,
196,225,114,720,470,524,384,593,961,343,025,645,157,439,429,066,319,520,408,
941,905,698,087,357,470,893,338,523,702,430,331,250,822,146,861,000,566,851,
089,712,410,086,145,391,384,608,974,454,496,340,068,828,844,425,312,309,440,
245,410,588,727,993,098,684,592,054,684,089,689,803,741,154,257,517,703,501,
450,419,891,850,034,203,964,934,493,337,432,140,884,124,781,188,061,825,375,
547,509,831,727,917,381,601,806,696,320,219,513,602,748,606,743,665,193,856,
102,141,228,476,454,068,840,181,682,030,985,811,764,654,338,665,248,523,450,
286,938,149,926,537,880,481,982,692,407,532,421,848,165,570,609,071,242,314,
259,185,184,342,916,138,349,044,654,805,038,393,305,539,927,454,860,206,632,
600,246,332,521,518,957,029,652,274,615,031,897,963,814,926,199,636,026,628,
685,908,331,593,798,840,614,868,386,787,655,796,306,184,152,056,919,900,259,
711,328,137,825,065,827,170,602,844,641,968,823,680,339,101,806,477,507,111,
645,613,321,593,670,200,312,372,763,016,329,641,078,967,863,263,345,342,513,
178,569,971,918,476,927,446,778,092,336,307,708,683,047,257,613,026,674,979,
666,584,261,546,387,946,737,252,029,012,994,392,273,630,484,640,974,185,699,
590,906,621,721,115,078,790,466,256,504,420,547,272,401,054,274,196,550,919,
473,829,156,221,034,758,996,491,905,865,773,280,553,175,107,219,867,069,640,
260,643,989,786,182,653,710,317,252,801,390,325,444,611,491,595,838,744,500,
517,009,106,043,976,305,428,604,289,152,404,707,294,779,367,453,108,746,041,
688,201,532,843,810,841,394,008,318,907,674,991,870,498,759,734,723,597,618,
797,057,280,087,032,561,325,087,583,350,275,625,744,309,759,540,346,229,689,
778,046,860,884,848,562,219,757,069,647,878,386,742,708,025,832,006,744,486,
915,540,859,030,645,619,780,074,861,038,107,120,239,509,332,968,114,361,116,
400,054,757,192,253,802,127,092,498,690,669,323,421,356,569,522,767,305,256,
615,522,632,111,930,468,436,976,076,251,876,310,505,404,338,024,897,065,894,
417,634,576,308,500,183,262,306,900,153,262,539,450,783,591,612,347,439,873,
697,606,780,467,644,515,484,661,090,165,384,854,990,103,333,326,707,540,303,
584,812,265,825,571,556,323,305,439,994,487,051,768,453,454,470,703,757,868,
861,544,350,971,910,256,205,141,311,604,059,051,718,745,404,033,766,566,938,
321,472,777,733,186,712,706,924,330,138,648,616,719,065,024,830,346,441,090,
790,545,265,181,594,014,262,974,660,209,772,530,901,620,809,211,694,738,773,
739,139,246,900,334,213,548,703,862,106,916,429,105,738,219,048,428,468,243,
498,776,434,192,235,070,690,909,881,724,784,934,460,350,365,720,286,471,502,
434,931,548,193,521,829,787,955,415,428,753,377,698,881,060,999,695,027,634,
404,341,902,521,447,628,331,155,524,133,842,810,576,908,465,628,338,719,836,
298,160,496,993,098,700,265,619,638,909,601,700,708,060,099,436,400,014,980,
849,778,076,667,041,244,529,330,225,416,655,178,285,768,717,426,973,543,441,
553,391,165,680,781,618,598,571,140,665,355,915,309,040,581,691,413,954,367,
327,602,343,723,551,214,081,977,413,341,655,581,136,461,921,608,070,666,685,
958,229,143,644,047,742,373,463,781,847,978,726,771,088,699,999,220,654,766,
154,939,165,409,290,428,287,749,865,131,870,334,964,116,954,005,670,068,943,
519,323,870,939,849,594,436,267,832,733,373,387,784,872,594,868,708,040,170,
427,731,245,942,217,962,236,792,487,779,484,946,374,649,406,124,647,559,768,
931,628,248,142,223,956,184,901,107,586,400,249,207,290,154,334,178,337,846,
662,737,897,094,076,295,565,743,933,150,736,856,436,511,306,579,207,345,173,
737,949,128,861,018,428,730,736,925,816,330,540,451,511,998,356,412,805,028,
509,697,813,874,320,254,065,506,305,141,214,942,663,547,252,686,083,181,029,
727,117,332,052,613,581,734,980,079,712,706,253,913,816,041,601,329,084,021,
273,497,319,616,610,151,258,230,029,036,868,625,802,146,360,250,589,218,815,
347,020,467,368,093,124,360,277,509,388,581,271,655,427,925,293,729,737,609,
229,030,883,526,149,429,438,785,695,105,700,197,254,906,020,490,547,199,257,
869,949,949,274,222,514,451,089,650,428,004,482,875,276,313,858,052,136,993,
912,201,011,018,835,522,699,848,902,678,389,031,142,565,513,052,666,767,104,
851,682,438,080,669,304,352,223,961,029,132,573,856,890,866,731,295,421,009,
290,312,326,042,040,467,011,074,753,478,855,964,352,935,091,214,155,473,813,
524,093,506,064,749,546,988,895,476,614,646,136,059,710,838,029,426,162,139,
118,390,551,414,752,777,238,786,243,076,870,846,727,075,056,147,388,504,960,
568,095,227,051,947,601,152,257,995,491,008,687,547,600,279,866,033,210,741,
135,396,480,206,987,099,271,225,472,493,690,574,954,776,778,461,861,387,470,
248,458,124,738,665,738,399,579,541,310,283,977,606,412,963,003,915,703,792,
896,096,962,099,208,981,197,574,526,622,273,706,839,410,856,489,335,060,881,
901,868,897,492,500,802,515,140,614,615,027,340,134,376,480,877,554,539,549,
937,016,004,134,481,871,204,608,900,469,461,317,641,258,520,048,405,262,100,
820,273,247,211,637,846,093,797,808,571,623,510,907,697,052,372,001,428,097,
496,554,861,536,483,947,419,214,785,493,996,707,471,080,080,359,159,453,488,
660,821,947,548,438,778,235,530,770,780,999,154,852,628,013,200,215,086,093,
772,118,322,655,221,267,403,537,065,708,138,313,234,916,585,756,670,080,224,
924,513,808,549,582,005,069,981,729,669,656,790,917,246,019,261,354,729,055,
503,845,668,509,897,231,461,739,399,086,845,038,509,389,060,895,929,250,720,
548,259,901,911,990,629,622,844,976,457,368,324,895,871,738,601,434,142,355,
015,210,110,594,792,065,464,483,803,162,049,774,750,717,579,973,713,423,036,
067,237,307,475,893,221,326,778,938,847,230,436,233,272,505,861,497,086,330,
543,069,682,185,315,046,768,111,561,906,815,871,095,735,947,091,172,079,731,
444,516,144,033,372,682,894,162,572,992,438,421,172,461,663,175,675,554,309,
274,050,334,754,051,842,032,763,778,363,089,972,270,090,952,788,210,481,344,
922,366,470,397,391,443,619,684,296,468,147,326,572,756,629,559,003,973,892,
222,302,535,157,307,571,673,530,627,338,651,413,737,726,300,994,472,440,073,
759,887,083,123,215,367,203,378,334,942,242,339,719,518,641,898,746,681,663,
719,465,271,294,525,460,610,879,136,325,812,550,682,056,513,961,742,222,100,
663,285,533,038,525,334,380,851,719,356,799,569,433,511,391,087,906,971,719,
916,632,391,163,673,144,999,784,236,602,192,992,099,300,795,431,342,724,371,
512,926,488,076,886,680,517,424,526,798,846,025,942,640,653,801,421,646,913,
654,273,571,569,641,341,209,926,795,712,151,820,452,711,159,945,013,686,876,
809,585,916,633,030,782,781,605,010,408,681,537,335,938,396,688,023,881,213,
406,800,565,369,245,665,565,903,355,836,471,397,531,819,648,865,240,044,314,
145,117,842,867,985,728,212,779,349,325,151,152,704,419,897,234,094,493,206,
014,271,189,230,222,733,824,385,662,531,869,909,812,794,902,850,489,196,502,
128,003,994,923,067,251,614,059,221,610,880,430,741,015,877,556,328,189,015,
223,098,427,694,387,428,155,280,796,221,789,892,595,236,140,850,782,772,466,
439,012,253,771,358,012,125,778,936,272,809,127,620,772,702,035,386,653,039,
780,445,024,231,864,081,318,921,175,683,865,647,556,190,559,030,777,603,462,
734,895,709,114,808,775,822,238,615,775,175,711,537,911,450,716,653,953,785,
082,222,426,417,889,813,818,688,721,035,857,860,800,251,068,711,997,574,242,
823,662,502,509,450,868,803,624,873,251,331,099,341,430,498,612,439,030,745,
272,483,710,723,665,380,625,789,390,061,839,744,605,157,405,280,644,698,485,
674,499,866,053,644,072,799,589,087,449,041,332,014,299,955,710,381,589,308,
561,507,471,910,788,965,786,743,526,670,418,126,359,851,085,558,073,726,207,
216,528,059,435,018,236,256,771,848,346,748,203,034,194,780,071,903,561,243,
070,868,316,290,600,593,594,188,089,216,202,461,420,520,031,564,693,919,292,
220,851,124,524,437,142,172,791,115,424,867,427,276,089,614,403,851,702,901,
558,381,060,713,081,358,429,703,057,017,117,926,386,855,114,823,397,744,086,
792,157,572,874,389,053,642,927,801,587,467,377,574,830,459,247,425,532,244,
195,486,715,232,910,043,037,970,790,925,115,422,486,011,261,089,190,218,359,
169,160,868,862,961,256,079,407,147,121,496,172,526,996,169,239,849,877,264,
446,595,868,669,464,116,717,740,048,413,679,855,522,416,796,789,915,400,048,
719,463,724,247,304,326,532,350,944,359,908,828,379,506,127,343,013,090,786,
300,253,900,765,208,040,335,082,676,169,896,490,946,595,518,488,923,990,017,
392,373,866,021,008,930,546,092,917,512,806,926,450,667,351,959,139,626,986,
593,011,947,865,595,039,164,791,190,265,539,335,802,613,495,774,228,305,833,
184,320,701,266,090,074,479,071,990,973,655,122,844,338,722,715,452,077,749,
413,093,365,111,565,673,419,524,768,908,103,576,057,823,265,422,083,482,840,
334,245,435,205,017,672,935,547,294,603,358,442,991,769,068,736,863,480,140,
260,675,902,666,813,727,979,389,859,672,320,545,887,224,683,198,494,832,771,
303,195,606,625,143,167,079,223,905,154,030,943,267,857,170,205,860,528,838,
889,517,359,293,535,319,371,351,630,529,275,312,822,922,605,314,483,175,555,
008,947,535,734,094,604,470,253,829,591,784,585,945,950,868,682,353,272,210,
619,173,138,621,282,168,155,139,883,786,087,572,848,176,942,052,093,214,728,
189,059,549,431,620,086,609,245,299,178,073,267,643,839,411,117,612,726,660,
363,115,723,520,758,147,673,592,881,829,228,493,804,372,788,511,595,001,066,
090,109,086,647,179,493,885,947,099,483,687,558,387,099,584,642,909,620,258,
788,877,643,719,579,452,590,704,630,899,484,979,541,394,664,743,076,100,726,
280,845,327,719,523,154,577,704,022,439,844,114,370,359,405,815,817,177,490,
536,794,031,238,801,527,355,750,760,929,202,193,645,343,150,990,570,782,596,
779,622,026,344,138,909,141,874,854,338,390,937,995,726,481,684,407,860,678,
320,203,435,389,571,792,681,653,904,425,541,387,973,354,418,477,007,625,086,
428,533,891,368,521,238,905,340,415,359,789,480,873,213,049,945,018,111,183,
859,338,989,904,269,966,578,969,968,809,798,811,857,117,398,207,222,193,671,
433,199,327,910,687,618,249,946,055,113,780,423,233,199,664,624,989,167,360,
046,331,079,729,121,496,500,857,122,001,214,093,306,867,477,183,188,328,285,
025,705,294,042,104,969,773,457,026,340,868,760,976,463,948,997,556,851,510,
490,704,226,833,922,668,851,298,242,803,400,076,170,205,108,244,791,666,993,
818,324,567,926,148,755,756,795,769,284,965,957,150,852,952,865,147,176,950,
631,290,543,233,057,450,906,231,013,754,107,915,610,117,099,253,878,810,004,
621,721,933,478,622,910,976,434,574,968,681,879,050,747,445,717,357,110,362,
525,034,948,383,281,949,949,602,920,460,627,345,496,504,600,862,534,878,017,
110,890,075,857,902,207,769,131,672,525,087,231,352,855,380,005,767,231,006,
734,312,397,395,465,460,573,607,750,596,470,881,344,860,799,773,671,898,340,
262,120,554,688,445,418,069,157,389,240,295,963,794,969,437,786,881,620,660,
475,117,224,752,858,219,417,128,113,705,708,464,279,526,179,722,748,845,218,
928,719,559,342,179,129,185,840,012,813,833,199,633,386,530,273,610,277,818,
524,571,913,004,818,300,067,535,409,340,692,977,332,801,985,371,600,892,986,
630,704,486,516,002,022,652,598,532,824,550,688,896,728,124,424,022,163,611,
331,796,710,817,928,646,350,986,870,448,611,505,653,812,475,673,337,211,184,
021,459,494,190,315,358,635,273,366,108,944,443,719,574,092,388,148,683,172,
554,339,473,630,534,385,801,213,559,332,497,294,920,431,967,957,215,268,257,
325,013,545,800,726,130,027,557,224,680,147,889,234,900,833,490,310,845,433,
102,976,930,458,445,915,653,891,870,945,582,209,457,180,771,147,653,351,189,
886,204,447,101,473,305,959,873,548,409,440,538,273,886,772,209,335,598,258,
940,739,519,997,601,926,909,650,406,522,932,198,885,781,026,928,397,897,596,
694,194,022,587,279,542,060,746,448,597,079,348,389,041,158,443,376,477,182,
470,768,840,247,365,337,393,452,757,689,255,744,912,048,929,922,388,674,867,
702,179,244,415,784,001,042,507,136,534,337,364,156,062,499,089,310,536,263,
146,035,256,101,000,250,089,028,466,835,777,437,258,432,975,831,445,793,351,
258,375,485,827,907,035,707,195,263,984,754,271,396,032,923,194,774,747,414,
179,700,428,248,868,221,382,743,261,457,091,087,328,203,821,065,034,713,397,
319,617,280,059,652,652,617,961,743,248,478,902,871,185,728,271,988,393,571,
290,792,327,025,905,207,075,490,331,401,616,266,697,026,921,632,593,312,484,
712,471,982,445,730,255,620,789,788,134,760,708,368,656,950,269,235,019,323,
522,151,410,870,124,282,683,562,127,228,377,143,725,875,541,398,929,797,381,
810,734,545,901,322,087,885,345,600,887,601,038,397,443,945,706,131,468,240,
499,197,900,133,775,943,280,148,204,800,267,307,295,612,398,341,783,580,540,
351,398,246,334,665,404,174,535,487,743,384,194,967,613,603,800,756,502,208,
665,214,493,194,916,344,358,546,614,882,274,358,425,604,516,007,831,179,357,
301,026,265,378,853,547,399,505,641,120,204,656,687,423,418,883,438,156,985,
485,678,824,583,082,731,292,472,053,273,464,552,835,012,460,185,599,714,122,
968,632,471,030,569,592,487,517,530,177,318,105,161,411,658,375,884,026,503,
499,792,455,827,514,576,606,629,749,657,316,342,758,684,728,426,418,822,782,
139,100,057,198,351,660,556,984,545,794,746,284,925,054,659,127,438,700,845,
946,046,430,506,585,483,541,118,684,606,336,523,802,437,822,427,627,163,255,
576,596,513,862,530,946,578,618,704,556,242,248,040,356,896,469,840,929,176,
877,971,464,400,164,656,967,045,350,067,497,682,840,189,557,869,984,132,398,
877,013,409,983,418,766,212,946,210,308,109,327,463,254,996,436,686,974,691,
063,186,853,153,100,502,735,291,645,431,107,930,537,633,483,018,012,416,573,
843,555,477,090,411,582,922,050,445,372,176,473,768,166,221,870,178,160,701,
990,638,798,424,777,090,063,448,350,334,437,618,061,666,210,561,610,268,530,
540,452,449,364,698,044,532,977,756,096,693,591,957,392,669,814,381,890,526,
860,167,033,834,425,815,232,987,026,752,543,149,614,606,293,858,196,869,815,
402,693,200,175,403,780,276,600,741,903,004,272,676,523,885,444,829,424,479,
407,373,285,439,902,869,302,639,130,365,023,592,665,601,595,393,389,941,521,
829,936,671,719,482,271,970,508,273,098,553,740,251,345,067,077,887,084,571,
177,232,333,481,996,942,169,100,921,734,951,482,852,902,988,583,723,842,128,
484,693,669,165,726,379,498,829,700,806,192,371,439,617,995,338,019,436,856,
509,159,328,524,845,869,766,410,796,535,397,144,036,661,129,219,903,441,538,
218,604,374,423,111,995,668,170,547,252,833,639,332,666,673,218,898,759,163,
883,026,683,728,907,159,030,022,821,187,212,154,365,903,492,103,941,959,412,
537,081,339,289,488,964,358,821,876,615,018,070,295,438,072,005,939,522,268,
232,114,270,489,782,193,705,482,601,536,259,901,012,039,148,192,128,915,568,
490,584,338,599,585,817,187,153,631,568,648,345,436,903,471,906,384,057,204,
213,509,725,618,657,751,841,685,808,496,073,489,736,908,845,394,953,668,156,
867,452,524,968,703,248,300,111,917,390,354,446,615,389,549,002,586,758,447,
896,669,117,331,417,021,975,895,506,855,988,813,728,070,700,271,367,534,043,
260,269,410,940,341,924,611,667,089,055,436,100,264,951,888,353,942,058,872,
087,622,570,483,979,743,416,082,600,346,552,596,284,057,494,945,645,857,436,
305,012,690,576,283,033,894,532,555,536,721,336,346,272,188,173,887,753,398,
955,286,039,224,010,586,485,368,843,455,927,866,213,167,207,646,759,606,015,
527,573,810,503,465,906,309,781,886,791,174,449,672,237,886,499,193,624,526,
261,201,799,398,662,231,343,762,712,243,907,100,317,047,345,126,545,215,475,
154,665,428,751,696,022,762,520,148,547,365,876,863,743,151,234,012,112,542,
103,224,108,780,527,359,028,925,583,567,598,041,371,158,676,929,264,246,050,
434,455,476,601,154,043,516,066,584,111,059,309,247,302,577,555,031,256,219,
087,253,093,017,373,590,357,586,018,877,868,895,885,491,113,371,717,703,565,
426,004,849,061,226,267,334,167,694,037,579,149,906,346,684,937,298,073,343,
479,949,439,521,844,535,468,458,731,931,385,858,116,791,474,350,823,684,759,
697,820,731,105,391,136,051,273,790,851,836,681,254,907,078,082,501,955,572,
975,124,767,475,743,099,708,118,803,201,405,768,068,994,468,162,415,560,807,
072,331,973,874,397,541,519,146,185,733,629,188,509,636,303,096,253,265,803,
342,474,873,238,665,073,818,343,617,506,630,168,019,874,758,561,829,241,796,
952,823,435,523,514,246,332,631,290,712,698,672,424,832,797,844,648,006,547,
434,042,951,815,034,312,120,852,969,542,409,100,808,694,608,964,657,439,780,
775,994,171,199,853,784,178,477,083,299,805,676,387,697,369,835,988,230,861,
548,077,952,213,957,375,372,721,162,365,178,392,096,507,006,050,244,527,011,
035,905,661,481,174,354,590,890,166,380,371,131,751,130,452,321,867,978,848,
435,132,855,236,274,409,340,030,134,457,943,222,660,083,261,587,087,300,058,
356,478,140,620,851,228,553,143,522,834,893,771,438,061,942,090,890,745,142,
355,251,138,345,044,632,720,961,713,408,195,459,105,665,912,823,975,627,324,
399,252,053,685,530,543,732,570,984,193,447,250,008,173,692,272,644,459,870,
149,921,685,906,924,717,078,691,412,015,829,120,251,949,471,899,614,011,319,
655,805,311,221,008,860,417,784,646,494,338,294,093,776,373,203,224,600,519,
045,540,850,957,567,388,401,505,299,148,424,431,640,805,889,863,808,946,153,
528,813,645,236,908,963,393,751,803,449,703,681,959,766,844,255,825,054,530,
483,125,662,272,588,608,603,530,425,087,740,670,599,679,409,157,342,928,793,
327,046,076,475,731,037,053,940,428,683,329,918,188,504,110,069,641,478,732,
704,161,698,898,867,786,210,771,144,259,370,699,213,414,841,476,700,945,793,
285,071,428,070,007,475,765,625,346,303,338,692,032,164,010,135,685,035,283,
379,675,637,328,990,918,504,062,773,303,079,428,422,855,327,538,979,896,907,
025,028,273,623,026,937,813,981,885,205,881,418,041,360,235,960,331,604,825,
755,422,525,825,080,182,326,230,599,442,443,301,869,157,994,746,588,743,194,
441,124,055,452,705,900,855,565,587,440,588,752,147,982,378,317,459,939,908,
992,824,700,116,143,508,608,945,315,802,873,466,212,242,812,663,419,436,180,
156,576,512,191,305,944,701,227,447,504,510,150,878,902,420,440,060,094,497,
234,153,242,826,719,083,519,105,489,921,170,204,813,081,417,651,754,293,455,
658,985,663,778,591,144,727,049,035,246,697,880,049,252,265,940,249,654,570,
956,583,296,070,108,611,668,239,435,986,598,195,519,862,849,378,323,138,353,
313,663,918,872,800,626,179,189,754,281,914,102,849,720,927,993,679,134,076,
182,720,254,279,007,832,853,252,098,481,932,143,961,371,358,452,887,818,402,
356,006,014,360,874,494,265,374,009,884,034,249,282,037,405,543,810,400,541,
084,316,180,703,768,858,892,707,640,152,783,488,538,637,795,442,051,353,333,
251,895,746,180,182,739,797,478,047,327,201,527,176,397,720,490,038,191,052,
201,084,510,160,753,651,203,706,389,479,068,005,072,346,514,832,492,006,978,
597,070,885,238,357,306,509,454,192,308,634,232,965,764,304,376,473,630,591,
766,602,370,857,451,823,992,527,949,994,218,635,095,760,851,215,721,284,499,
387,687,817,596,722,019,376,058,054,394,740,797,879,812,855,297,296,686,902,
197,339,871,182,288,455,933,703,848,886,983,663,895,267,811,311,063,451,847,
732,267,758,305,974,369,013,534,164,934,838,071,550,876,869,711,528,744,808,
589,102,142,882,809,733,689,696,426,733,234,432,042,390,244,847,787,788,061,
733,515,676,269,778,511,528,190,232,042,876,102,170,131,217,980,806,327,782,
080,978,034,415,101,641,690,459,950,532,890,564,341,426,747,756,930,412,902,
500,976,763,092,474,691,894,063,695,597,892,605,812,996,240,159,265,136,879,
332,927,284,284,712,929,568,620,453,598,576,886,619,719,203,426,219,777,507,
272,909,130,297,822,445,501,854,645,390,109,509,184,242,097,135,465,213,762,
629,040,363,711,574,653,420,555,804,490,636,456,852,508,113,236,820,799,696,
914,094,734,610,870,083,841,683,215,081,937,602,254,145,649,320,268,433,189,
394,006,874,621,686,133,889,420,902,564,413,091,676,515,545,441,606,530,579,
335,703,738,596,382,607,676,232,112,665,423,524,878,461,017,696,882,178,702,
599,578,317,342,060,790,503,604,449,394,387,666,797,687,775,789,166,990,639,
456,276,013,683,098,874,087,094,748,973,474,176,206,781,052,868,808,203,237,
029,457,940,325,498,630,269,588,716,946,610,280,350,469,101,534,743,235,087,
259,626,345,104,771,468,579,304,032,928,420,818,444,954,306,301,373,618,101,
430,082,242,951,157,987,598,056,778,536,032,645,515,338,778,441,037,764,201,
359,623,377,363,072,802,773,307,111,217,286,026,539,972,210,087,355,671,321,
261,135,535,901,929,429,307,041,633,284,752,946,326,184,009,063,656,030,875,
389,347,580,694,753,021,432,064,829,610,193,053,829,022,430,895,086,142,297,
282,715,505,585,563,665,289,367,030,921,424,539,041,986,790,554,726,190,844,
771,757,972,689,263,516,146,125,358,235,605,647,291,418,986,784,625,774,484,
282,091,077,942,715,294,117,316,754,808,041,633,096,458,959,578,490,338,254,
804,405,024,916,812,248,455,857,900,178,123,352,120,193,764,656,227,082,721,
940,607,353,630,756,358,952,260,423,057,054,391,424,504,973,989,083,191,094,
000,855,901,796,041,004,477,163,753,726,879,910,320,186,461,847,422,517,611,
895,709,114,965,246,525,103,059,427,753,155,872,041,561,284,871,195,642,749,
268,342,735,022,699,541,002,191,900,019,283,516,350,641,844,215,140,062,724,
786,570,363,329,717,973,508,897,663,944,296,359,199,565,165,291,729,791,770,
153,580,320,015,261,236,747,709,458,991,289,781,154,441,167,697,280,771,696,
701,333,242,109,980,694,240,491,322,274,354,352,158,002,824,798,243,731,233,
850,460,218,453,378,169,084,815,772,546,380,962,374,119,867,870,629,183,455,
059,014,588,697,064,845,948,220,679,444,068,784,829,926,800,838,023,948,122,
123,721,207,798,577,454,519,029,729,408,730,502,886,796,489,465,856,863,106,
154,229,505,899,538,050,957,527,716,869,029,630,154,071,260,084,921,830,556,
923,350,498,607,255,184,235,037,404,773,092,641,691,900,522,832,386,279,834,
397,491,288,217,737,505,233,828,605,695,258,723,973,899,470,393,551,054,393,
241,881,137,307,578,265,125,144,403,959,532,017,146,680,596,917,868,860,332,
205,833,116,349,323,764,506,374,812,855,864,012,202,363,169,312,542,317,892,
393,160,523,796,753,112,268,598,699,812,728,937,325,092,801,964,817,031,373,
343,274,698,160,923,498,174,225,611,624,954,712,740,832,058,008,771,452,444,
253,788,315,173,838,895,794,806,870,659,216,760,939,517,981,388,984,703,574,
242,088,753,948,830,809,847,974,074,614,364,318,356,986,083,250,189,907,524,
195,859,370,049,745,474,432,619,663,029,624,035,295,666,044,806,486,159,666,
557,125,392,940,410,351,578,990,835,876,677,234,718,185,752,382,867,979,762,
240,836,287,454,675,292,329,160,482,070,722,227,574,986,793,315,210,595,514,
964,628,409,464,919,170,216,029,607,531,394,422,371,723,710,525,700,463,601,
691,706,628,930,495,074,983,488,369,643,489,941,106,488,862,554,433,952,553,
648,371,310,576,194,606,637,839,903,761,989,178,686,632,896,196,797,043,978,
227,657,379,406,871,466,691,455,309,293,259,948,062,070,914,113,320,585,346,
410,331,395,969,121,006,913,008,721,312,802,876,657,151,469,103,296,016,145,
606,403,803,119,722,868,627,977,759,412,753,800,115,404,459,916,060,852,021,
006,948,600,837,926,141,786,265,552,392,061,396,406,232,863,969,695,324,535,
430,878,979,816,681,674,952,227,247,923,498,653,171,084,388,584,141,984,029,
991,355,087,228,914,784,156,730,787,019,640,131,063,967,532,671,489,166,935,
287,448,357,707,499,979,940,176,804,732,760,851,302,147,474,691,254,969,950,
485,900,276,714,185,958,484,337,114,193,028,623,794,561,879,120,513,656,139,
233,602,777,443,265,862,296,656,943,501,385,781,940,055,613,486,047,760,692,
759,572,502,884,415,093,864,572,183,338,139,809,051,635,683,265,264,495,020,
051,339,537,964,671,414,497,365,274,047,475,228,490,355,649,682,986,315,071,
624,598,840,112,752,086,199,891,897,827,259,536,156,388,457,552,149,599,097,
900,503,596,354,201,230,571,658,986,784,233,921,587,595,663,903,180,326,906,
673,842,092,003,034,932,806,527,344,956,899,188,728,813,990,042,403,381,767,
320,921,512,343,494,756,549,825,713,362,125,366,076,048,677,776,497,866,624,
897,761,640,064,440,191,242,378,442,925,417,362,221,116,986,793,147,274,613,
279,054,692,050,629,070,137,627,638,183,256,715,438,588,183,423,097,895,717,
889,794,815,398,246,428,039,910,189,852,665,061,358,338,586,551,677,439,829,
207,530,320,067,592,355,472,540,224,948,121,315,987,453,246,755,485,874,316,
163,286,689,329,462,120,811,493,853,081,369,593,319,463,706,146,319,751,329,
863,211,309,818,322,671,956,391,895,848,083,618,481,276,733,469,414,430,889,
016,419,245,953,085,292,197,846,666,360,174,481,672,949,424,185,622,110,773,
697,498,002,299,562,730,401,269,653,237,173,330,790,458,917,866,600,052,981,
831,187,372,117,742,492,584,874,149,049,737,751,834,563,832,575,364,948,938,
694,831,785,365,862,421,965,872,902,977,633,465,899,343,212,085,277,562,085,
466,021,551,754,325,926,765,857,011,073,358,753,438,559,334,038,543,036,830,
025,793,574,436,446,675,958,593,411,949,673,536,585,464,150,989,450,488,847,
022,698,381,045,023,380,020,798,242,590,302,696,036,525,601,897,026,561,223,
794,475,140,983,705,571,755,362,505,307,244,704,196,252,952,906,835,828,580,
569,411,420,852,510,753,778,724,104,758,213,295,691,942,990,466,455,234,111,
518,195,406,098,993,765,193,698,521,148,577,972,768,648,791,680,173,540,008,
424,261,286,250,339,057,089,466,961,837,023,966,235,273,804,007,938,215,559,
635,314,607,781,714,771,206,606,268,759,007,707,475,565,783,748,126,822,726,
249,441,261,533,606,662,243,428,856,768,059,600,606,502,668,672,745,195,687,
806,410,808,824,041,235,218,479,339,467,534,529,442,655,687,145,010,309,692,
379,047,728,528,660,670,973,248,367,864,755,609,043,283,804,674,326,173,685,
541,764,867,169,670,005,429,982,983,413,785,335,437,900,280,362,425,643,226,
236,876,934,293,793,846,285,607,043,534,128,584,402,097,957,501,171,060,214,
948,063,648,906,882,285,023,841,813,657,730,371,313,436,383,829,626,678,444,
406,636,954,664,089,208,754,135,718,277,607,843,718,001,343,574,133,120,316,
774,601,089,183,531,421,663,206,845,862,063,741,395,533,530,130,731,376,788,
429,143,483,218,816,041,800,380,439,419,484,931,136,157,102,925,346,314,996,
828,274,933,178,846,913,073,897,808,773,894,230,087,688,919,079,607,432,888,
813,517,974,683,907,967,506,199,913,897,468,175,692,771,274,714,701,908,359,
546,603,380,498,997,902,943,337,692,166,838,254,712,124,322,355,035,892,629,
448,055,269,443,732,868,082,768,171,573,480,231,234,084,848,839,778,358,855,
537,036,965,244,821,116,643,978,074,611,236,746,554,833,810,475,450,263,629,
240,434,865,279,474,997,379,167,013,261,015,054,419,371,857,964,128,106,423,
968,410,671,997,732,668,933,376,638,791,895,611,947,495,057,564,551,230,145,
359,422,294,860,340,877,132,557,482,135,778,040,897,230,599,072,313,909,873,
865,365,408,197,916,118,265,355,638,203,162,249,905,338,913,933,178,020,890,
622,796,036,563,948,473,563,756,392,708,102,270,773,683,240,860,041,276,689,
853,486,848,771,450,738,608,285,502,453,505,148,559,949,962,285,961,288,767,
105,033,919,623,390,691,694,310,662,875,391,220,183,498,294,025,336,775,773,
780,349,640,739,543,472,572,918,684,125,223,076,763,592,479,443,455,782,116,
890,001,616,270,201,062,210,053,957,650,618,884,913,620,283,670,450,385,669,
631,621,742,256,553,805,575,373,947,888,334,945,126,319,087,257,497,256,727,
237,451,745,493,785,836,013,068,580,198,831,511,728,113,084,128,155,906,797,
079,535,291,884,914,683,155,342,303,615,113,768,626,116,954,547,605,832,293,
427,419,650,300,621,488,096,791,775,584,773,796,972,495,701,263,043,609,775,
363,090,122,170,204,620,437,520,246,271,738,774,858,730,752,618,680,121,783,
212,923,927,065,643,330,567,808,797,722,970,616,278,867,282,077,515,862,815,
783,836,768,221,378,673,235,771,247,701,498,781,803,534,884,729,547,804,397,
791,325,867,581,408,102,530,147,469,257,087,500,321,078,273,516,078,093,395,
795,167,651,773,743,861,717,947,817,002,803,295,509,721,550,816,001,850,732,
453,695,743,139,127,918,298,865,718,279,400,431,010,734,691,550,286,905,256,
453,258,525,041,402,788,186,404,687,014,246,658,162,625,716,861,654,010,534,
125,474,282,176,082,661,867,592,832,875,106,953,221,994,826,327,495,871,201,
043,209,712,997,288,688,162,796,817,926,960,741,766,746,075,645,243,120,440,
399,242,896,282,762,508,819,384,061,582,923,059,098,294,945,183,408,472,018,
545,496,342,134,246,468,350,530,189,109,898,457,557,934,452,996,033,238,277,
330,802,584,698,087,718,925,200,995,314,804,228,215,642,185,549,789,605,600,
294,382,638,538,322,929,352,483,128,825,654,336,199,744,068,925,804,373,049,
550,867,018,930,106,552,317,966,922,663,908,262,498,217,186,965,187,392,894,
100,415,784,032,617,600,823,674,853,645,156,727,533,288,666,333,638,364,424,
453,873,245,391,548,741,197,517,836,688,822,038,752,573,328,663,309,382,444,
857,995,085,350,864,866,741,351,162,994,078,944,230,511,438,241,027,115,912,
733,859,750,799,730,420,592,357,410,516,958,123,635,283,919,021,005,334,683,
342,906,095,137,239,207,003,030,145,807,773,340,401,718,032,667,540,721,774,
988,823,920,286,131,553,056,048,666,685,300,722,530,016,020,305,237,473,265,
172,833,566,994,557,253,778,634,036,522,596,503,459,620,793,327,001,271,273,
900,832,758,907,820,232,196,270,794,527,079,165,497,045,738,094,288,860,624,
575,533,511,409,561,795,913,366,231,099,041,649,472,585,902,818,130,287,476,
538,564,843,833,451,049,419,767,532,435,097,488,502,482,045,906,593,190,532,
842,660,964,520,127,896,668,650,947,064,831,904,560,296,422,181,126,101,159,
607,591,831,666,265,557,979,232,506,353,776,399,566,186,652,292,841,677,807,
481,159,911,020,750,912,900,807,945,550,751,448,599,008,905,933,350,297,200,
501,673,737,362,665,747,710,752,788,036,997,715,388,246,490,358,944,174,026,
621,504,978,690,336,664,725,595,892,778,855,465,467,927,638,854,831,845,365,
626,616,955,295,106,217,092,587,760,989,228,276,238,873,826,771,866,778,273,
721,188,622,026,034,029,224,079,137,410,640,699,983,394,126,162,665,839,344,
638,156,118,211,798,146,698,642,072,535,046,113,549,419,613,297,818,701,450,
343,436,850,279,857,508,644,729,769,603,619,365,129,953,774,785,302,476,261,
790,551,576,843,344,552,719,121,792,164,243,786,992,707,600,689,855,994,710,
879,780,627,158,216,887,906,957,343,899,283,374,965,622,795,810,396,505,329,
374,664,280,941,192,206,410,962,315,101,946,140,324,572,019,099,533,809,271,
752,319,201,111,724,342,910,184,936,551,379,812,240,829,849,529,043,945,725,
684,046,317,721,155,951,301,697,039,566,815,169,130,304,229,561,362,632,276,
818,181,470,711,352,942,890,136,394,447,059,943,325,082,605,174,776,557,956,
626,366,493,001,468,370,879,595,140,257,873,785,848,001,856,231,806,343,299,
263,634,173,536,540,146,856,299,951,226,975,449,409,039,469,797,785,979,642,
529,401,581,887,177,855,481,376,151,453,911,605,128,413,625,855,720,019,464,
903,263,229,761,716,318,210,701,755,307,083,840,272,357,441,551,282,321,908,
354,274,914,777,052,108,001,215,776,730,655,837,345,763,681,830,468,073,756,
102,893,683,854,448,262,177,873,729,285,263,123,477,530,819,326,737,385,413,
219,126,357,920,606,978,675,268,739,338,710,179,277,047,959,395,258,488,198,
258,593,119,267,932,376,521,672,677,409,542,387,836,950,211,458,663,211,088,
571,931,662,847,715,383,015,318,507,960,778,882,506,969,544,575,612,804,705,
480,745,474,829,567,225,334,344,365,327,441,689,750,717,238,178,729,911,513,
997,933,888,220,628,642,728,637,390,778,848,148,274,420,016,214,713,009,962,
053,071,422,874,447,831,990,378,561,134,044,734,178,881,015,279,082,731,456,
966,753,759,594,779,961,126,342,895,758,411,379,310,543,062,586,248,621,342,
643,231,839,530,294,762,683,376,157,271,548,022,854,531,235,626,806,747,885,
404,905,854,653,101,890,219,533,968,178,538,437,272,021,070,863,995,799,373,
113,996,323,241,759,422,290,701,297,650,531,097,755,571,624,130,220,803,105,
605,064,355,370,730,509,030,658,725,279,776,268,158,796,423,662,345,709,880,
706,710,588,860,901,501,290,831,684,772,115,260,769,198,313,211,929,696,657,
517,384,267,047,392,515,439,477,382,816,149,166,343,464,780,184,962,073,986,
605,133,231,093,283,051,556,396,714,712,279,740,088,913,384,280,284,049,826,
127,074,289,041,815,135,319,147,056,123,791,509,634,762,316,191,971,612,895,
936,503,919,604,452,369,190,116,596,036,157,150,593,320,608,384,425,508,008,
149,188,534,867,062,047,324,039,936,797,896,356,469,616,797,321,306,800,094,
676,266,392,706,567,349,400,006,913,327,822,662,310,656,763,911,177,554,047,
018,998,266,431,750,192,908,535,050,235,618,386,370,497,264,351,417,361,129,
494,880,850,350,036,060,971,801,517,283,960,249,597,180,131,000,253,809,190,
765,210,251,962,794,045,387,257,766,479,126,652,764,175,662,621,855,663,028,
824,624,321,050,099,341,020,827,830,997,143,836,771,769,514,872,769,809,387,
374,354,084,686,299,876,042,824,742,848,768,148,950,644,641,237,427,157,659,
510,340,501,928,167,547,983,932,389,273,834,015,170,467,297,736,833,635,324,
576,415,592,708,704,145,395,963,134,663,337,254,194,872,279,407,648,438,292,
939,175,414,032,020,808,813,288,346,098,747,131,223,233,324,838,677,500,213,
103,237,501,443,760,698,860,598,443,530,503,046,861,203,490,929,180,702,503,
221,952,005,579,455,882,647,304,992,145,387,719,088,172,113,460,822,161,930,
772,852,735,848,027,723,115,946,715,330,994,071,998,291,263,857,156,371,287,
582,061,884,460,731,763,737,209,202,161,236,713,329,389,796,045,726,168,390,
487,070,506,343,441,891,335,418,079,568,716,547,467,313,424,124,886,200,606,
758,076,174,828,958,914,803,354,326,142,267,694,721,409,127,434,603,854,981,
287,632,619,049,028,325,120,193,775,447,374,568,795,856,157,833,480,037,794,
759,344,827,693,381,176,082,736,236,875,421,146,775,922,269,981,641,859,347,
220,879,908,225,015,930,267,277,506,670,244,628,782,363,633,890,155,657,951,
992,765,179,510,296,382,855,416,344,725,044,530,522,078,804,020,316,394,792,
703,241,344,656,764,235,190,619,013,702,330,503,507,219,784,225,317,099,168,
289,987,678,303,714,510,493,607,704,568,629,330,530,268,960,928,705,763,556,
299,080,354,668,308,833,149,065,588,838,182,347,100,487,254,141,346,120,374,
737,674,226,773,803,437,622,694,936,840,566,340,556,635,630,264,677,150,119,
374,604,827,932,140,632,356,894,343,613,320,921,476,562,966,548,739,003,138,
686,482,737,209,866,573,524,918,511,553,538,066,794,126,937,475,501,943,440,
006,420,409,390,284,718,463,267,719,437,169,258,479,529,599,718,209,319,665,
249,170,844,868,820,800,846,521,397,039,596,718,980,523,594,110,066,927,798,
711,488,392,558,203,353,979,820,322,736,555,041,602,405,330,411,606,987,796,
401,769,248,502,112,886,090,937,013,202,808,120,907,429,435,262,392,871,125,
640,078,007,160,815,015,880,530,106,396,128,508,374,811,025,013,448,535,917,
082,409,405,064,230,344,607,975,012,498,601,905,677,158,000,312,780,637,321,
732,799,160,182,697,954,248,730,357,336,492,894,648,865,663,928,336,582,282,
435,783,407,139,168,009,995,686,835,284,610,842,378,289,724,738,333,443,018,
916,047,201,149,864,612,530,183,380,512,865,682,015,463,773,942,194,288,625,
620,865,547,196,588,058,019,486,408,983,996,333,391,330,060,453,329,100,006,
656,489,055,349,156,951,820,889,536,941,267,701,291,977,548,688,185,455,752,
640,512,891,617,924,642,025,198,367,614,091,474,168,962,918,964,392,347,962,
748,844,287,578,515,394,436,549,898,483,357,630,567,681,758,391,569,381,982,
563,395,028,786,290,131,181,336,042,055,481,701,935,857,991,526,235,315,780,
164,908,560,380,510,188,717,202,006,207,349,729,911,657,810,621,001,354,414,
724,354,386,772,513,414,486,604,689,871,895,361,979,679,401,267,337,086,054,
249,876,608,741,108,434,903,383,814,338,697,192,863,851,301,347,163,482,464,
213,291,463,827,097,665,959,588,992,096,274,865,341,919,494,415,955,680,502,
747,197,417,348,509,503,225,365,988,722,662,718,459,425,049,826,404,107,146,
353,389,569,940,574,586,282,398,168,586,491,569,822,345,427,798,756,918,242,
905,959,589,310,203,733,773,368,823,570,699,696,534,610,024,763,697,179,335,
427,716,039,606,012,533,010,203,911,446,494,004,217,118,820,211,751,617,239,
712,175,159,087,688,636,396,628,847,924,608,127,945,387,185,016,132,558,682,
146,834,174,508,420,969,522,072,519,209,639,137,368,972,322,429,594,949,191,
050,410,534,144,226,955,629,409,096,647,238,084,142,091,013,578,959,606,954,
591,775,895,315,315,912,096,778,506,261,632,634,321,188,422,084,290,855,083,
312,804,103,716,864,866,637,790,462,242,585,334,595,525,070,472,133,570,955,
060,850,727,737,790,190,233,973,865,095,020,988,025,164,249,330,517,970,115,
601,436,465,533,095,341,384,426,341,365,465,318,360,380,580,718,746,113,986,
673,233,326,691,713,556,444,871,815,457,978,273,623,523,871,010,256,871,536,
270,330,005,520,789,249,456,698,631,981,550,326,925,095,773,906,518,270,148,
150,980,557,872,352,693,114,910,553,030,755,640,297,407,012,342,357,304,334,
764,234,841,344,238,077,848,402,725,801,626,428,915,114,412,662,665,294,567,
187,139,934,712,563,669,993,490,525,352,366,061,778,027,471,881,185,461,440,
447,505,394,438,031,196,002,707,451,716,008,191,507,379,367,922,654,585,675,
581,463,202,974,994,023,828,700,843,990,177,985,919,783,973,872,607,256,793,
547,345,326,917,768,196,524,324,821,547,061,527,798,614,728,115,304,565,530,
718,932,203,547,319,030,657,159,456,351,522,424,734,651,173,790,653,479,648,
939,326,284,421,860,504,353,148,467,246,042,744,568,591,574,823,192,683,504,
432,630,076,173,028,149,634,570,169,145,875,171,317,647,909,009,411,631,908,
151,846,512,924,714,148,859,056,299,216,063,206,908,490,505,472,459,698,166,
324,450,948,529,649,855,028,404,404,715,658,632,840,674,939,280,595,697,333,
891,983,803,530,713,596,014,874,732,949,267,722,027,151,007,265,861,089,906,
921,401,322,538,635,963,425,577,052,671,511,283,975,391,222,709,215,290,075,
814,336,234,453,849,604,287,093,116,604,977,266,370,648,912,343,971,783,785,
225,770,080,735,146,434,382,559,155,681,839,567,051,058,402,225,937,405,317,
141,885,134,375,919,770,526,347,500,455,926,436,684,685,617,974,882,575,203,
460,999,467,314,032,151,093,172,998,986,706,186,374,922,914,345,468,241,436,
075,701,214,226,786,640,678,051,876,960,184,821,582,145,202,845,749,710,303,
060,338,379,364,364,143,152,415,130,948,530,926,162,779,850,026,780,192,325,
561,448,939,395,695,946,016,002,200,251,140,052,956,447,029,091,870,930,677,
554,944,251,916,261,255,803,676,455,790,440,892,701,681,133,457,289,699,558,
722,874,502,713,294,045,173,018,563,683,628,006,857,227,047,128,338,755,316,
098,711,038,448,241,167,500,098,753,630,341,862,128,848,873,308,897,346,148,
153,585,256,721,418,607,946,871,788,624,152,648,863,224,013,847,071,791,423,
905,147,309,635,012,421,089,010,918,914,227,558,386,411,924,388,571,217,078,
964,422,382,798,563,434,839,975,161,518,908,126,840,589,470,980,388,603,727,
894,514,418,797,716,280,317,526,500,624,785,796,643,135,114,589,307,785,128,
794,214,305,762,300,138,705,560,214,337,348,438,264,200,587,526,658,054,594,
883,410,214,422,584,636,723,899,926,176,096,878,025,859,636,501,267,119,190,
497,479,578,178,547,599,725,030,867,851,178,101,413,024,567,497,083,561,795,
634,608,872,240,717,445,516,522,987,734,357,928,617,504,463,612,353,259,653,
362,560,819,016,931,457,940,573,760,977,809,230,559,759,101,774,413,357,076,
651,122,536,565,375,494,890,404,820,080,576,983,835,769,506,023,376,755,692,
743,800,136,322,790,294,678,214,135,842,864,114,330,288,117,219,544,240,320,
697,248,319,468,204,987,112,234,451,303,069,552,380,636,459,601,698,567,530,
179,050,320,260,171,285,626,533,747,027,240,325,775,427,276,166,267,233,794,
940,606,258,155,739,144,688,759,830,627,169,036,336,923,168,033,801,436,122,
272,666,325,109,690,228,714,358,505,363,266,436,284,728,915,948,585,866,770,
695,051,177,875,933,627,382,812,715,275,764,780,045,227,579,406,283,060,200,
814,599,723,098,754,859,309,396,445,813,658,535,158,328,716,995,892,696,800,
241,014,508,924,153,291,473,169,001,201,466,145,791,960,287,826,701,351,280,
567,333,827,982,617,578,364,034,666,287,738,053,028,927,192,687,938,356,972,
318,970,779,941,860,541,766,450,198,627,165,096,363,123,330,521,204,787,467,
834,481,219,393,302,133,566,582,567,203,824,307,816,320,277,307,312,327,751,
095,353,427,414,813,860,554,078,873,313,119,966,464,686,274,465,357,556,616,
342,287,899,405,508,658,224,650,534,113,152,496,740,684,971,072,663,388,366,
257,687,135,519,417,143,333,056,037,367,722,785,882,559,243,882,760,199,834,
274,408,327,991,678,504,834,684,906,011,228,480,764,146,277,609,388,001,371,
068,299,301,724,584,385,156,271,634,307,368,136,922,060,063,804,821,937,646,
092,151,827,289,126,265,204,661,573,407,873,898,341,071,849,606,718,024,434,
809,275,606,900,968,843,624,804,744,895,880,669,677,380,026,005,418,705,678,
197,382,864,298,655,927,764,700,692,388,938,458,309,356,550,109,436,096,323,
885,009,475,509,392,667,702,057,989,570,659,472,362,711,649,119,149,832,747,
130,857,809,730,735,214,445,442,060,029,236,611,137,818,405,727,733,634,185,
491,530,769,424,072,507,863,272,633,268,861,525,402,115,334,343,046,983,947,
640,860,783,421,353,903,176,542,300,256,104,873,821,786,310,766,880,418,274,
270,727,342,173,271,561,017,473,408,051,338,012,136,856,063,897,245,083,386,
326,092,773,773,756,847,823,515,382,626,391,855,642,135,014,007,389,923,474,
259,313,614,807,874,157,691,313,258,368,380,157,011,585,726,985,981,651,387,
386,377,993,901,549,711,244,290,509,338,923,275,163,963,516,042,444,135,629,
915,788,375,923,851,498,101,698,119,179,727,753,720,961,417,778,954,298,781,
321,668,052,982,816,528,075,123,438,790,799,064,930,773,595,059,768,510,683,
535,548,326,669,650,895,630,092,881,265,891,182,006,242,009,093,102,644,050,
620,755,635,772,743,022,466,438,788,826,266,899,059,541,442,974,603,417,593,
702,838,102,752,918,023,164,094,779,754,783,048,487,463,371,504,051,066,155,
909,225,361,684,533,722,923,475,844,171,842,806,850,128,940,956,245,687,867,
890,491,353,261,750,628,922,557,560,167,217,360,176,266,864,105,069,033,852,
166,936,207,067,024,954,784,763,843,031,488,943,731,823,590,539,144,846,014,
985,738,768,301,954,512,655,716,944,150,124,649,163,610,674,534,735,644,508,
857,819,621,301,400,142,377,496,054,684,398,938,470,222,956,270,315,423,756,
292,509,023,366,467,092,788,947,864,818,990,923,387,465,317,824,041,219,977,
124,100,059,118,573,957,342,592,699,350,550,048,153,565,136,570,332,846,015,
140,570,558,014,833,314,387,290,687,190,547,749,712,216,939,694,159,021,660,
950,587,986,687,694,641,501,996,397,076,450,873,191,280,988,308,888,589,825,
197,970,612,351,579,833,724,215,433,961,725,225,505,441,697,689,737,719,985,
498,005,259,586,394,613,963,895,236,285,089,697,051,366,112,205,018,996,646,
102,243,768,369,476,563,808,013,177,939,962,526,428,837,481,455,840,572,105,
759,056,675,392,878,192,366,125,474,788,679,306,212,559,058,412,924,301,609,
848,664,382,503,433,801,344,519,170,717,313,941,570,475,891,713,792,057,685,
060,301,230,704,785,423,091,409,006,263,895,476,712,314,335,283,016,522,879,
282,254,309,651,143,427,073,614,180,713,803,721,618,514,700,461,023,101,324,
987,134,409,354,450,146,596,744,501,508,671,368,718,507,446,277,995,935,989,
585,696,958,389,533,617,104,106,784,036,973,144,036,094,486,886,100,087,793,
485,306,198,691,848,636,536,371,583,275,892,308,707,783,988,891,081,559,662,
225,538,825,959,761,167,591,252,385,749,325,478,920,572,116,778,062,557,287,
419,599,754,020,635,905,613,721,984,474,715,264,848,300,515,985,853,873,637,
374,354,247,176,839,753,061,829,897,730,280,443,881,605,820,449,243,562,799,
657,819,512,230,872,113,655,171,909,678,533,897,076,859,228,847,259,686,052,
088,590,045,958,695,455,279,311,594,085,609,888,053,678,610,904,525,312,110,
194,511,632,507,418,430,907,343,936,634,579,730,308,714,040,397,428,420,498,
558,952,571,936,532,285,008,689,694,127,954,112,140,565,379,709,226,149,393,
243,763,120,480,647,768,462,659,716,727,017,018,261,111,892,504,256,215,128,
851,457,396,400,856,750,890,783,550,122,883,511,650,419,595,488,871,502,768,
841,267,121,203,508,555,624,147,378,922,853,504,411,292,190,370,577,721,601,
885,238,858,028,039,904,112,807,866,397,593,050,652,785,132,360,510,115,097,
746,365,639,347,788,509,770,662,676,227,396,228,955,236,788,053,524,506,812,
920,464,136,479,826,368,333,918,324,386,914,977,478,465,929,387,915,143,220,
042,272,333,922,383,657,868,288,630,456,357,076,205,371,684,863,519,117,063,
246,434,018,437,805,341,978,928,210,568,724,392,791,798,479,870,784,290,640,
512,554,688,134,371,662,942,609,943,144,733,957,276,331,258,322,801,361,919,
501,785,613,934,766,948,978,514,883,833,132,240,255,554,799,009,378,233,734,
534,478,709,540,262,139,298,508,275,866,614,797,618,167,149,712,613,887,481,
060,368,246,835,794,681,729,843,123,179,597,459,709,806,327,053,584,599,636,
069,035,031,257,794,544,120,147,449,523,593,260,929,155,288,004,288,688,924,
482,621,160,467,808,622,894,679,490,061,491,011,783,784,904,417,891,840,806,
488,181,495,991,328,646,660,837,928,018,060,427,867,865,644,928,315,191,940,
038,442,527,039,784,215,820,416,456,937,836,665,062,191,020,706,545,196,808,
866,488,748,357,607,379,935,713,978,465,198,919,403,765,939,707,091,175,895,
938,471,896,912,440,700,340,454,724,657,022,453,694,715,848,857,635,130,752,
606,422,691,745,643,358,265,632,676,744,825,608,652,590,139,388,564,120,563,
461,660,217,191,308,563,836,877,578,039,999,073,886,898,079,670,437,884,737,
094,678,044,411,429,658,207,645,280,286,269,167,902,450,556,748,015,686,254,
122,321,336,988,992,060,600,319,961,384,846,331,530,307,421,069,596,974,150,
864,343,118,507,781,837,649,673,564,964,925,231,854,651,348,808,354,725,432,
367,573,669,453,643,933,874,958,186,058,365,608,144,275,936,299,317,513,313,
311,692,111,719,900,934,887,019,851,970,605,555,642,125,986,867,966,414,943,
397,910,578,344,610,349,308,218,015,831,040,478,237,217,015,420,709,668,456,
322,805,739,646,540,442,469,482,175,616,716,307,238,828,166,226,960,225,913,
187,419,976,574,553,498,909,949,078,208,724,608,374,004,302,728,265,437,608,
663,858,948,028,778,313,105,790,807,492,185,337,623,395,562,715,604,705,459,
658,030,785,327,887,738,112,321,174,753,541,939,674,078,907,075,819,339,114,
148,444,028,874,823,039,752,513,842,618,696,168,751,836,825,361,724,698,200,
610,665,248,848,358,310,742,598,459,386,217,046,843,754,522,310,151,251,350,
204,260,083,900,335,174,856,062,134,657,046,957,938,224,691,085,305,419,293,
538,008,240,660,357,361,468,070,162,928,677,913,488,508,777,469,446,410,500,
556,533,875,015,103,828,174,887,843,306,166,981,308,898,907,196,070,154,685,
482,328,427,668,737,768,408,128,037,439,095,632,523,778,029,136,241,735,955,
413,589,543,556,130,458,470,874,428,601,488,276,575,768,623,951,627,178,556,
672,656,063,143,402,257,457,369,069,134,011,695,660,568,753,674,675,538,148,
686,661,133,127,304,116,090,327,199,238,934,185,336,311,594,372,420,933,436,
276,555,666,193,426,945,755,783,031,257,405,060,885,764,287,184,705,460,131,
751,970,025,303,295,962,448,234,892,259,170,848,672,989,745,751,313,499,063,
997,625,043,963,204,321,600,002,598,752,409,054,956,625,270,846,384,752,161,
403,314,649,768,678,586,441,689,188,567,559,378,692,582,981,019,559,791,169,
843,264,852,572,719,478,076,524,819,202,686,255,707,600,789,640,844,783,551,
512,391,588,521,399,958,531,351,483,718,309,165,299,889,198,683,229,224,267,
843,678,318,040,165,917,316,715,512,681,728,022,682,575,509,214,845,463,697,
314,559,295,805,859,128,778,538,021,217,125,647,154,200,667,050,878,871,789,
097,452,670,606,924,124,286,096,395,964,468,425,774,205,080,960,511,061,263,
605,740,900,657,712,447,442,947,155,285,359,015,601,961,879,150,103,667,682,
051,974,748,436,016,986,442,180,651,368,854,885,779,597,580,010,612,286,433,
226,006,283,407,775,253,002,071,411,201,688,901,607,501,336,673,055,772,471,
960,368,621,016,198,747,939,555,790,987,958,527,332,761,968,167,509,535,825,
866,468,552,536,786,748,711,346,532,866,471,367,545,916,758,583,684,215,067,
198,332,633,633,254,745,623,428,223,022,697,229,516,777,630,432,249,230,434,
386,960,925,147,895,285,679,451,796,178,376,909,803,709,186,274,003,352,429,
359,889,219,137,566,538,063,285,342,516,932,596,848,654,711,893,960,265,036,
409,686,220,903,585,229,782,262,034,062,679,080,655,597,877,667,200,549,808,
153,053,060,970,435,511,375,465,111,527,717,483,395,461,445,061,159,618,671,
145,905,687,481,785,342,091,149,853,846,268,592,746,427,828,506,441,223,761,
231,640,147,917,297,930,988,486,288,191,782,745,898,694,371,779,073,630,948,
702,947,569,114,151,842,394,142,382,010,248,765,251,676,002,929,237,186,296,
181,795,718,428,652,954,634,258,296,277,924,209,700,111,269,433,071,286,890,
455,037,348,091,848,340,375,851,780,016,473,423,210,250,811,445,301,557,055,
516,295,582,069,194,719,180,668,319,288,879,417,703,487,860,526,352,689,252,
859,500,870,026,597,278,561,558,071,012,052,235,870,023,623,675,405,287,950,
932,585,745,148,429,980,510,100,361,502,153,175,700,205,590,264,658,147,756,
642,481,317,924,433,054,019,877,872,597,578,221,945,591,385,800,415,599,447,
518,553,170,164,607,297,567,834,088,254,900,173,102,898,501,911,304,368,655,
927,379,869,965,093,354,046,522,917,171,756,282,143,869,037,860,979,980,165,
413,142,386,429,462,810,672,746,023,340,060,871,061,066,389,966,177,456,561,
883,067,366,791,796,882,121,487,425,214,278,377,738,070,704,243,927,113,015,
322,160,749,547,118,999,944,809,081,309,750,764,427,935,164,977,049,793,743,
607,582,548,642,839,919,969,263,977,135,403,026,313,156,205,574,589,012,469,
783,986,686,201,972,409,229,094,874,032,279,136,729,169,252,709,693,271,592,
207,592,709,246,077,800,320,245,516,659,786,390,499,720,346,583,042,700,284,
279,492,850,070,404,877,026,391,923,021,714,299,556,578,223,822,740,120,215,
447,175,493,061,352,854,222,174,822,334,485,341,863,325,001,632,007,384,201,
183,106,210,906,181,700,783,590,705,311,859,951,435,084,154,619,575,724,040,
709,779,168,088,052,843,326,768,682,780,360,725,191,099,011,580,406,081,098,
556,925,947,787,013,001,155,033,993,032,039,675,919,395,233,522,803,977,398,
412,040,602,137,903,631,539,737,772,691,168,063,865,790,864,327,990,970,505,
285,495,095,223,484,572,767,402,318,636,058,247,451,641,547,636,059,773,859,
111,293,906,853,419,968,632,814,947,961,381,170,403,961,154,920,699,968,482,
727,386,321,111,932,436,731,267,533,169,507,937,155,371,712,105,811,341,932,
858,534,210,685,747,487,731,617,352,568,612,996,708,605,653,081,231,113,631,
846,969,108,160,706,007,651,617,424,382,957,759,651,015,337,060,133,589,936,
226,582,513,152,501,418,275,645,299,514,428,772,385,775,881,269,764,027,169,
509,793,171,199,274,777,447,923,225,889,382,575,846,923,044,857,397,109,499,
813,053,264,133,032,621,663,240,957,999,182,540,161,695,551,501,468,459,573,
356,479,758,798,685,972,384,260,663,787,015,151,956,192,004,008,532,580,705,
253,751,097,810,267,689,567,379,323,936,329,120,432,525,145,428,611,688,097,
416,886,556,511,818,032,104,702,535,925,490,997,773,887,479,995,157,865,634,
073,943,713,137,791,256,265,799,161,819,067,539,852,005,567,754,354,571,680,
067,910,610,866,098,839,212,528,316,326,282,106,207,375,121,200,470,068,998,
238,886,843,769,425,548,146,379,333,958,027,114,126,700,447,234,957,789,847,
572,281,656,666,196,649,997,391,055,160,872,805,240,917,022,604,719,087,439,
991,450,333,942,432,704,878,093,863,029,474,340,370,369,989,779,961,218,980,
456,952,185,052,998,768,539,474,068,418,881,534,034,649,556,437,069,065,339,
894,625,775,506,178,991,599,074,679,544,278,672,922,092,735,353,827,109,082,
504,112,434,452,567,106,164,312,433,197,117,591,210,574,543,899,653,494,011,
653,683,290,261,358,915,638,027,260,514,577,667,253,704,828,304,434,521,434,
460,880,914,252,588,476,938,441,628,100,974,534,785,332,575,825,925,384,798,
987,865,448,548,483,694,767,257,556,577,804,464,592,151,963,588,847,710,893,
010,941,564,324,609,283,212,161,751,240,396,100,001,135,430,446,885,737,064,
519,346,325,779,023,903,875,183,697,332,217,784,257,132,631,211,969,841,587,
726,430,197,360,635,562,786,409,520,112,750,880,150,494,213,964,724,681,388,
919,903,129,902,704,469,650,726,868,933,401,230,759,385,983,068,862,452,435,
534,364,500,090,252,868,986,520,861,584,614,657,802,500,702,160,158,956,187,
735,612,043,957,123,693,432,904,479,736,047,113,757,692,799,196,503,481,460,
630,401,152,009,693,743,403,411,406,167,548,761,551,106,321,989,742,901,973,
794,619,229,740,659,896,517,839,402,572,642,640,471,772,939,802,738,833,050,
978,610,712,490,002,158,630,952,409,699,031,604,556,435,662,299,482,759,327,
892,217,690,357,936,382,062,927,006,240,748,581,737,148,738,852,004,784,062,
911,902,451,530,348,909,745,048,751,094,527,977,862,551,814,648,054,078,636,
556,039,327,218,685,664,336,872,673,825,206,132,844,780,962,447,742,169,044,
922,074,318,346,592,282,823,397,702,750,026,694,919,905,599,967,583,896,630,
116,436,864,411,904,922,395,389,414,723,611,620,565,157,050,233,381,707,474,
777,838,606,251,718,434,053,719,707,268,910,879,818,268,511,083,755,297,282,
871,450,180,866,382,446,312,237,028,805,382,128,899,661,609,113,832,266,334,
160,301,493,786,504,072,231,121,933,676,248,566,428,690,775,477,957,787,417,
101,961,875,669,637,818,706,753,430,368,147,717,731,900,795,741,094,712,183,
332,241,907,441,658,371,226,322,822,965,490,268,344,293,697,088,852,924,241,
394,318,047,633,342,962,244,688,355,026,770,561,661,463,519,246,839,522,788,
782,827,317,500,845,652,348,298,588,602,041,612,145,301,506,154,440,585,489,
927,808,965,906,868,132,045,370,602,903,049,102,326,343,796,991,511,437,716,
498,218,655,647,034,794,484,593,614,253,599,531,973,912,322,903,403,258,730,
330,507,574,325,782,844,697,984,740,661,602,985,080,082,305,671,092,710,166,
851,331,137,876,046,538,015,172,431,351,396,234,585,703,649,087,313,307,976,
001,720,512,404,376,144,486,199,463,477,010,221,216,921,508,235,026,100,659,
041,832,311,542,656,575,188,839,705,755,208,913,068,137,117,075,937,333,821,
428,100,746,033,702,009,485,149,538,494,124,757,319,229,792,520,375,097,215,
992,057,293,348,912,407,429,112,488,141,306,134,402,716,455,068,040,205,458,
862,541,048,310,875,192,327,711,571,178,163,007,986,193,071,100,640,927,912,
253,122,170,694,769,279,458,665,859,029,310,838,794,742,720,546,240,424,923,
083,307,320,352,358,211,598,972,384,455,398,723,626,002,843,345,242,417,260,
267,527,675,566,407,803,885,950,500,096,266,635,980,374,932,055,400,502,536,
950,490,870,800,363,842,425,190,014,146,236,050,906,780,139,297,779,433,598,
789,746,869,540,067,158,670,665,848,917,981,258,713,492,200,784,013,128,249,
880,559,367,064,882,774,290,159,804,384,501,881,460,344,566,660,947,991,446,
993,173,565,183,571,993,491,431,424,379,557,130,312,770,573,847,351,937,521,
254,363,910,336,113,861,816,938,186,778,644,654,747,896,120,255,776,420,490,
187,535,017,153,560,785,835,623,403,034,457,675,486,615,157,873,534,213,417,
063,032,532,534,586,914,336,737,949,759,035,300,882,690,545,527,204,040,005,
548,346,582,128,897,687,965,956,558,152,829,429,668,702,441,990,884,120,315,
271,143,741,634,536,811,913,230,262,598,767,838,817,761,010,884,454,204,855,
083,640,348,947,836,801,953,490,736,550,327,721,670,866,222,663,049,283,637,
144,130,583,152,795,232,470,495,406,512,704,268,952,152,910,505,196,675,937,
188,536,351,091,602,977,007,823,241,129,055,695,506,506,217,466,216,465,273,
019,596,941,837,208,762,860,531,193,693,228,284,964,374,593,435,602,582,861,
486,098,509,244,206,033,831,223,369,196,630,969,758,802,319,303,847,017,770,
715,220,681,430,709,071,452,465,498,021,146,187,970,872,035,092,224,434,296,
617,571,502,346,205,778,189,498,757,089,478,476,622,127,273,146,276,893,179,
220,087,710,130,527,901,133,845,051,841,619,127,215,215,592,380,134,721,124,
188,979,378,653,879,483,756,673,822,917,947,551,871,848,530,435,634,461,171,
398,080,429,249,692,630,024,972,526,001,469,808,747,948,087,840,874,695,773,
091,008,811,107,029,287,831,687,241,433,312,235,539,970,832,427,093,433,545,
943,898,285,456,242,760,797,640,093,868,659,373,978,837,556,217,176,894,074,
626,973,607,415,685,643,389,860,008,027,964,341,303,664,331,909,971,835,027,
461,562,114,127,639,678,227,921,732,688,143,504,029,528,434,434,279,750,229,
928,723,618,821,541,706,020,542,065,103,271,526,664,794,163,977,755,375,490,
268,273,554,877,121,989,890,208,451,420,845,633,628,233,540,213,988,210,607,
593,054,070,677,013,020,428,786,640,737,913,086,943,640,276,110,734,333,442,
552,976,380,438,844,485,522,944,455,381,506,351,805,047,715,805,459,949,825,
850,720,001,419,916,521,278,866,683,854,800,305,572,877,442,915,643,784,119,
436,936,126,917,860,422,653,887,315,173,761,352,106,040,394,167,517,701,266,
630,696,514,044,135,184,483,884,282,142,772,031,053,529,819,101,586,756,785,
141,255,700,457,028,805,782,082,327,446,127,546,213,003,812,392,385,461,493,
834,452,183,484,425,707,518,124,282,260,628,338,499,135,551,273,531,965,813,
965,669,787,965,637,024,198,491,280,927,388,435,699,788,508,837,563,103,742,
798,597,429,732,792,508,888,814,985,403,728,893,561,815,291,858,943,952,021,
032,282,985,449,421,067,186,345,987,841,362,237,724,540,826,058,591,970,304,
932,299,387,822,872,139,550,389,992,592,446,562,078,809,775,103,318,810,361,
329,628,398,307,296,203,354,852,277,026,591,463,510,820,218,363,902,893,669,
541,514,985,296,467,638,139,643,787,963,751,735,473,681,852,368,227,159,046,
171,681,841,026,074,766,169,432,308,610,024,658,183,661,161,427,488,982,921,
408,080,713,843,758,446,332,283,641,479,987,105,665,479,763,557,352,146,355,
867,236,026,315,083,817,638,585,437,925,253,570,501,728,705,881,710,801,092,
842,284,827,521,346,974,025,780,217,741,964,618,552,244,631,599,077,656,605,
198,827,988,967,704,016,195,389,723,509,010,193,048,296,265,136,474,041,869,
900,003,395,763,918,259,985,300,174,520,050,680,575,660,081,150,644,714,408,
936,440,447,154,086,822,288,453,275,187,310,411,948,332,277,268,175,146,354,
023,517,559,773,273,471,984,390,123,944,820,239,874,096,686,751,752,101,119,
873,715,471,496,390,340,835,064,096,223,927,606,054,397,602,099,484,045,481,
553,671,611,688,905,635,592,540,252,898,268,798,219,865,050,847,311,591,340,
692,338,385,364,112,815,467,081,286,495,316,000,764,649,119,257,425,199,092,
944,585,407,176,112,789,499,602,169,704,658,591,065,835,044,672,814,659,917,
652,844,810,480,136,333,393,145,265,404,428,353,867,435,090,233,326,936,423,
925,172,715,313,180,189,146,477,435,791,952,735,921,281,118,842,359,243,288,
686,389,408,247,578,179,470,714,562,470,136,956,214,840,896,514,430,633,928,
073,485,273,201,456,590,026,310,981,234,312,268,374,579,262,076,800,727,999,
991,986,779,388,680,617,612,525,650,343,401,489,703,846,699,941,496,294,808,
843,724,389,732,349,412,537,024,218,033,973,415,426,116,992,842,169,741,861,
922,331,170,062,695,964,303,473,169,764,398,718,570,020,265,020,444,603,346,
032,723,568,110,836,723,243,046,141,395,083,483,271,159,175,148,764,070,473,
012,613,240,821,351,352,200,659,530,540,214,724,245,270,037,809,371,103,270,
005,012,846,722,813,587,019,109,200,439,458,808,441,821,936,954,950,686,745,
798,790,137,217,084,595,843,784,342,375,078,304,167,261,356,084,213,003,734,
632,949,951,857,114,180,880,464,971,540,321,906,491,927,404,543,384,873,589,
526,139,726,007,912,900,432,941,906,988,186,365,874,720,177,254,099,039,117,
842,298,688,941,907,972,216,857,862,901,813,047,448,730,528,941,574,141,288,
671,622,233,070,636,108,545,363,765,973,764,659,228,284,531,014,865,719,389,
936,177,847,778,500,973,200,941,440,201,243,989,267,352,682,165,560,972,281,
893,016,669,399,694,083,109,438,953,938,002,075,599,211,486,008,351,451,522,
907,944,647,996,573,478,610,298,267,276,250,137,041,359,459,768,070,087,782,
525,439,175,386,786,956,773,566,033,428,383,042,282,707,203,783,028,235,430,
469,161,137,556,437,767,194,044,944,614,191,475,657,159,788,370,381,942,013,
524,917,100,058,356,810,342,757,476,428,693,505,616,691,635,593,131,220,534,
334,235,810,431,774,567,896,059,285,220,745,040,088,085,789,632,374,535,175,
110,495,588,311,075,444,936,810,841,018,234,821,086,206,666,966,043,657,752,
902,833,695,433,608,301,017,406,613,135,976,319,036,966,753,705,990,563,174,
003,666,502,839,841,824,070,039,006,465,771,507,847,046,319,349,415,165,155,
913,553,996,064,244,824,591,800,154,227,688,121,965,815,508,399,480,504,756,
097,494,984,540,413,246,752,292,413,888,012,817,215,675,294,377,061,136,205,
183,616,570,626,289,160,764,390,656,691,145,663,250,306,213,797,342,595,590,
880,337,251,798,760,287,134,481,006,105,588,420,993,892,141,736,165,819,881,
261,046,678,871,264,549,663,673,849,426,620,232,056,668,551,715,353,322,097,
455,213,916,761,567,808,505,512,593,378,801,301,964,657,993,893,108,177,312,
826,766,657,829,860,433,690,515,101,424,667,870,834,172,712,425,054,158,548,
487,657,803,584,171,411,769,641,842,295,116,754,948,271,379,028,217,859,538,
669,964,363,042,797,574,226,128,919,652,893,095,713,167,060,254,409,371,018,
344,676,068,974,894,888,802,061,861,581,679,111,729,533,405,746,986,858,857,
505,702,315,626,290,541,561,714,317,356,579,637,485,860,628,708,640,324,355,
535,512,963,731,255,981,961,838,343,172,107,596,968,568,331,657,359,751,904,
152,953,694,780,334,224,435,431,891,118,280,660,165,083,633,922,065,152,588,
324,236,576,353,164,846,376,069,954,443,411,174,405,779,988,741,320,611,687,
222,217,256,764,317,244,275,479,450,909,247,216,012,801,370,154,420,255,622,
387,781,205,590,084,378,474,659,712,129,319,926,050,330,843,242,392,398,706,
613,264,682,742,473,593,377,631,542,185,474,104,029,955,707,964,059,920,974,
295,865,231,268,535,805,552,821,207,701,557,429,197,703,961,328,522,011,066,
681,558,148,684,010,503,758,754,813,964,586,519,223,790,504,456,530,623,301,
502,385,790,683,360,939,086,910,841,048,860,532,603,698,755,002,532,690,217,
442,862,675,269,997,048,028,173,365,883,250,850,491,859,640,780,923,776,632,
217,830,287,297,039,209,474,888,992,649,647,631,708,865,664,823,186,589,149,
628,193,532,814,095,730,544,639,851,166,256,920,311,826,043,716,983,676,583,
942,201,244,970,371,144,527,774,871,777,060,897,865,936,674,728,633,474,077,
171,428,473,272,876,551,142,841,844,023,878,705,594,390,817,640,493,421,896,
672,100,315,083,792,467,057,791,018,904,554,260,853,613,561,267,045,066,169,
489,911,149,081,909,040,973,048,224,883,078,278,119,540,140,326,228,910,966,
356,101,582,526,029,606,772,021,796,604,156,859,774,682,562,712,909,059,125,
267,485,675,621,912,410,926,038,632,470,963,579,049,493,746,214,237,880,358,
604,274,664,931,432,838,638,602,835,912,243,211,232,954,734,147,118,442,473,
021,506,382,219,092,863,730,974,390,272,339,581,672,048,667,532,176,741,469,
556,128,763,623,275,086,336,254,462,302,704,369,900,070,448,523,752,222,266,
163,043,386,731,435,837,276,868,589,661,841,175,306,088,110,818,836,598,658,
452,512,983,976,726,319,724,781,033,633,925,856,564,807,905,403,291,888,041,
789,400,175,282,070,316,539,586,557,763,556,541,475,050,440,525,051,715,774,
385,997,394,232,785,991,266,896,677,787,695,452,905,691,668,600,991,519,464,
098,340,622,972,818,851,486,259,642,176,406,824,551,417,469,057,913,432,899,
769,903,873,522,795,246,804,977,674,049,756,131,197,056,263,198,448,576,353,
465,640,942,768,674,688,292,995,868,735,457,634,703,851,930,368,971,433,159,
524,226,390,052,937,227,910,075,273,501,566,479,590,743,809,582,350,759,652,
554,888,470,277,687,993,903,327,061,453,885,586,615,554,324,278,581,399,268,
541,316,015,518,168,485,320,304,185,406,842,125,272,406,819,225,568,179,005,
650,746,177,503,314,217,102,231,517,169,919,241,373,632,030,435,682,757,989,
963,294,178,272,674,678,689,786,613,712,497,963,105,125,372,004,274,776,873,
737,604,302,916,367,413,342,353,197,630,636,162,823,297,824,033,238,437,357,
416,105,405,439,022,232,017,345,261,467,192,167,979,260,381,280,703,569,594,
247,735,949,928,901,213,454,834,569,179,112,120,528,076,749,906,760,004,495,
485,987,641,492,811,414,826,739,241,226,226,066,802,142,626,236,667,837,610,
521,896,037,406,555,635,857,638,254,136,613,170,434,517,689,573,230,823,765,
557,093,205,895,613,460,574,632,931,960,089,240,726,563,172,466,627,569,888,
955,651,838,636,130,494,276,598,797,352,596,503,073,788,862,866,892,916,737,
373,428,608,348,190,202,363,275,949,584,939,585,788,004,749,523,506,377,371,
336,794,271,873,937,312,668,714,502,281,964,968,205,872,387,370,916,935,767,
090,730,324,866,407,020,672,808,126,471,960,545,307,916,189,418,820,514,816,
285,294,792,855,277,563,615,647,011,338,870,252,071,994,761,724,549,026,162,
515,953,787,613,829,408,273,047,843,827,024,096,768,300,334,156,931,152,098,
007,311,885,656,577,165,241,241,454,641,461,213,870,463,181,679,373,996,245,
638,415,560,613,216,274,033,769,926,229,902,681,923,320,959,184,149,191,201,
185,720,146,661,932,995,482,518,570,496,373,221,426,816,804,233,752,567,305,
963,154,835,597,361,618,887,651,952,373,986,194,169,695,918,850,073,696,461,
881,183,669,215,428,561,612,815,790,056,818,962,852,248,987,746,903,203,631,
336,797,155,515,137,666,279,571,676,735,496,198,716,837,241,552,550,877,592,
150,036,651,188,215,610,627,384,648,090,519,501,481,989,892,144,636,676,775,
999,827,845,611,419,239,108,086,505,069,723,551,129,919,377,444,959,848,272,
091,032,388,155,778,541,071,075,959,401,289,807,761,200,501,543,961,620,836,
864,898,329,492,598,564,973,322,565,831,685,155,070,397,465,701,844,855,621,
131,290,993,484,698,571,599,496,533,831,713,726,995,937,013,805,473,471,726,
073,589,088,709,374,275,619,830,472,438,405,017,119,694,342,873,073,206,279,
710,791,219,652,358,615,448,687,250,251,755,491,977,013,190,145,143,657,490,
920,477,652,600,929,324,625,497,803,339,871,863,346,931,018,691,862,285,090,
587,414,104,195,895,010,820,971,433,733,914,924,207,971,694,481,695,490,081,
425,623,596,688,600,190,887,747,334,259,634,653,654,335,886,257,324,821,673,
877,333,361,099,162,715,221,016,658,641,700,016,171,819,844,983,717,916,289,
006,397,383,627,284,992,296,098,420,942,195,592,551,937,988,709,295,579,280,
876,036,504,151,682,185,162,638,706,512,138,701,023,428,481,892,640,721,574,
089,280,938,832,341,964,267,640,171,206,488,571,463,663,883,511,279,969,612,
825,549,232,437,270,080,801,839,109,662,749,439,302,736,349,317,318,022,674,
066,415,294,534,114,932,694,534,776,890,449,601,034,492,960,437,753,491,092,
204,358,025,431,648,525,412,542,058,676,341,950,651,880,407,348,577,556,127,
411,927,755,459,878,607,589,755,443,889,511,101,238,187,521,829,041,484,487,
733,620,191,800,040,399,551,429,416,934,981,747,462,901,624,164,168,896,165,
505,656,694,330,293,255,636,782,754,746,658,729,580,587,644,454,481,638,899,
209,785,256,125,396,356,153,655,128,049,978,317,287,920,574,681,927,370,270,
501,070,895,053,409,614,805,604,161,095,223,193,226,948,848,698,360,950,230,
235,390,200,329,481,773,067,326,167,847,645,736,632,702,214,702,989,136,456,
804,535,133,601,860,696,590,985,963,343,766,646,315,798,252,497,650,313,956,
660,422,983,115,779,859,435,369,096,046,836,282,093,702,749,151,412,073,634,
076,241,260,993,620,683,563,954,028,071,465,134,749,025,795,823,502,906,598,
725,621,411,397,577,618,491,599,641,937,453,760,012,503,553,481,388,550,888,
173,871,276,278,059,383,694,490,325,587,801,796,824,888,455,066,756,406,853,
152,477,694,662,053,650,589,535,160,241,821,617,118,664,148,273,465,484,630,
657,604,640,980,064,300,102,582,573,869,862,874,030,157,884,434,844,499,939,
145,850,119,770,293,745,224,785,910,547,279,677,258,937,440,464,634,050,191,
636,901,843,840,791,721,859,842,535,409,407,778,083,439,845,433,036,838,441,
950,354,420,353,602,367,241,680,871,719,311,570,402,940,609,566,585,380,941,
998,726,246,494,681,124,036,487,370,016,349,324,697,516,908,135,073,784,053,
277,882,268,610,862,300,770,005,712,996,698,731,914,807,983,855,826,316,695,
159,930,478,925,904,855,759,529,555,269,545,177,356,316,176,627,413,047,590,
778,041,105,927,941,924,553,926,939,337,357,439,096,333,581,095,855,814,982,
485,618,850,371,191,529,498,064,845,980,820,238,955,773,220,947,483,508,258,
784,239,828,013,448,140,500,787,212,897,821,745,878,829,693,844,447,916,609,
767,814,949,919,295,562,973,625,645,566,348,761,533,394,435,376,313,205,498,
752,850,233,951,711,521,917,534,937,935,812,541,747,109,072,858,338,413,724,
299,800,171,975,144,009,867,405,373,843,644,141,090,776,948,603,340,307,580,
056,814,557,114,556,503,621,368,938,901,156,139,661,628,700,134,656,718,635,
438,180,772,694,594,380,767,160,745,020,966,246,812,022,989,806,993,407,455,
364,485,176,298,929,803,263,965,780,341,579,531,976,310,315,809,266,449,495,
551,491,024,270,818,312,303,959,514,984,612,087,821,741,515,805,815,122,708,
359,862,648,472,374,291,501,803,203,740,333,329,705,421,135,255,107,301,602,
356,470,662,436,012,889,512,560,695,718,058,460,106,999,543,530,709,566,358,
907,329,813,407,506,583,321,152,383,950,959,674,238,929,592,875,233,963,227,
184,902,169,158,036,359,253,286,939,718,719,871,842,703,202,264,099,015,206,
594,247,736,982,199,433,924,550,422,920,980,343,350,672,014,922,888,752,847,
745,431,995,483,034,483,625,885,447,357,033,341,538,515,286,920,752,906,350,
672,024,102,285,890,924,053,613,280,863,079,721,174,800,685,765,098,807,208,
888,126,979,399,945,743,339,079,847,921,190,944,035,980,648,984,064,221,451,
908,202,142,043,399,550,952,006,534,327,479,135,250,373,103,338,714,327,564,
087,124,284,287,489,329,331,000,857,627,278,443,563,783,911,970,772,910,840,
985,391,913,377,927,356,900,200,428,276,114,810,284,449,400,137,722,117,058,
207,634,917,475,436,519,266,435,239,747,294,610,713,272,473,860,561,201,537,
713,408,008,929,771,597,597,090,812,193,231,997,780,429,021,003,067,847,221,
110,572,822,354,241,063,793,880,592,824,823,802,408,599,374,340,284,601,779,
943,589,504,441,050,512,128,110,630,954,083,177,993,681,727,156,935,113,968,
788,090,833,823,542,064,559,249,451,201,625,008,219,167,915,819,356,736,464,
167,336,103,468,008,945,404,483,885,421,933,605,508,529,730,474,325,113,463,
270,160,500,477,331,084,834,892,530,551,191,018,753,290,185,125,187,626,674,
438,603,776,376,731,527,142,514,278,613,496,550,111,020,975,616,055,609,247,
732,344,474,244,622,951,243,720,381,771,845,481,210,522,492,244,713,992,987,
569,791,481,396,414,027,893,481,532,530,414,370,787,781,573,413,328,936,803,
354,375,709,363,738,432,222,405,286,079,798,634,974,119,772,848,476,077,093,
725,825,856,237,115,558,584,804,415,346,144,033,181,917,932,647,624,496,931,
192,927,778,577,600,241,727,800,817,390,514,457,440,257,901,777,349,372,887,
226,280,501,339,791,982,437,128,775,562,199,051,165,864,671,883,769,489,993,
008,293,128,427,552,274,288,311,727,565,411,016,443,798,519,687,341,095,863,
202,681,643,365,978,943,164,995,990,420,348,086,002,668,571,380,825,533,349,
830,986,650,127,443,329,039,702,176,515,275,493,366,941,210,155,841,860,997,
518,744,079,253,146,762,505,329,923,544,447,420,393,189,341,004,193,172,962,
332,571,915,418,028,251,073,960,963,370,259,073,019,970,814,722,929,822,631,
846,183,101,279,278,842,773,569,788,619,780,919,604,233,074,499,526,071,594,
972,616,071,058,746,632,091,354,939,825,574,867,827,188,061,178,542,698,161,
563,449,953,476,726,003,291,298,212,004,047,268,143,822,268,711,606,185,872,
200,186,571,578,203,709,421,790,578,969,852,417,916,214,035,701,822,868,240,
226,412,241,414,898,650,068,752,318,353,749,135,414,503,261,945,422,532,542,
270,476,344,043,805,497,080,724,107,372,009,775,088,683,332,816,298,571,291,
915,556,290,808,959,149,514,618,222,663,883,893,544,507,934,951,196,220,725,
552,577,241,116,663,811,079,038,831,602,613,060,482,916,644,086,365,380,394,
066,654,134,300,790,687,740,553,071,898,590,602,855,963,888,141,048,377,792,
931,358,158,524,070,755,871,036,990,453,297,052,509,730,757,429,312,815,414,
711,894,463,513,253,373,706,139,724,764,566,593,049,240,922,259,321,805,443,
330,177,781,872,633,753,870,993,130,701,044,978,083,330,372,431,504,020,834,
991,481,293,107,652,410,342,400,692,522,926,382,908,488,595,838,438,865,218,
774,567,088,317,511,477,620,565,723,232,081,763,461,244,858,003,391,042,134,
581,472,701,116,390,464,586,975,087,596,354,608,272,957,790,649,484,037,796,
435,630,956,724,639,231,540,799,190,022,495,182,057,309,305,896,516,025,890,
457,933,242,824,402,751,957,351,113,466,791,629,633,091,161,262,911,394,343,
662,080,062,536,899,955,852,020,667,402,886,718,603,754,934,709,200,483,018,
368,958,274,678,603,655,307,089,239,809,220,857,438,194,642,449,213,435,533,
467,201,609,721,182,298,271,055,630,996,361,895,366,216,443,650,362,734,601,
183,651,721,923,936,826,927,319,531,762,450,856,510,818,342,630,347,639,209,
605,933,342,493,797,890,402,022,385,009,619,454,521,439,124,883,859,104,457,
768,457,277,855,473,963,248,768,147,301,343,200,044,422,246,106,729,379,739,
880,086,450,803,770,840,118,582,227,818,915,446,761,522,088,093,910,457,043,
763,421,078,554,352,319,607,234,854,343,646,457,453,195,491,873,594,676,169,
563,898,644,074,402,117,115,278,518,022,047,092,229,865,153,654,545,261,977,
242,112,744,438,574,237,951,263,195,460,460,087,941,929,803,609,259,427,025,
569,506,050,212,603,580,463,457,343,011,154,516,207,712,326,357,172,189,030,
956,135,191,362,995,833,902,149,413,337,344,962,883,147,982,497,226,964,461,
722,909,502,609,095,177,072,352,491,954,016,856,487,104,414,233,059,174,137,
671,773,604,577,085,573,701,847,314,950,482,848,050,622,525,778,588,164,254,
840,536,798,126,796,802,933,281,020,317,496,101,954,631,351,115,706,701,818,
697,983,765,484,355,186,227,890,679,606,232,694,161,810,366,917,075,284,492,
483,924,431,241,963,574,646,186,742,072,525,429,563,409,003,437,959,537,707,
366,482,436,548,826,519,065,970,955,388,815,615,616,960,862,826,234,158,352,
061,517,459,695,421,300,032,897,524,497,154,464,912,998,136,137,881,892,298,
349,121,713,582,245,490,349,949,760,690,621,019,294,232,707,365,843,583,784,
864,735,279,700,708,977,686,464,508,572,499,819,744,014,365,750,946,069,889,
139,526,188,224,520,833,959,279,429,943,832,708,043,679,264,791,543,192,313,
313,941,260,913,302,374,701,936,590,091,635,346,296,368,213,511,402,537,331,
462,930,550,427,595,702,479,056,049,547,008,656,509,876,014,805,697,365,096,
071,186,757,130,258,427,097,952,269,319,136,470,193,366,092,663,420,439,191,
872,278,048,042,309,758,564,563,873,739,038,569,450,630,032,083,696,776,039,
193,684,750,229,069,288,987,979,123,099,515,346,223,095,654,909,247,991,370,
574,682,964,896,089,698,972,084,869,962,394,019,572,967,183,886,290,964,293,
234,232,658,860,983,843,191,563,843,252,561,218,588,720,183,784,719,607,699,
325,961,886,568,015,237,882,679,330,724,431,526,675,255,141,725,468,497,339,
016,860,508,514,600,032,500,952,359,927,824,950,173,314,522,857,679,816,131,
936,963,056,280,899,322,766,834,571,907,699,526,658,127,214,687,163,935,608,
904,569,157,210,377,518,205,610,262,794,733,605,386,819,577,796,997,667,760,
958,268,349,561,327,128,947,537,875,358,018,965,923,844,277,055,397,196,169,
042,604,524,415,851,065,476,433,532,682,056,268,152,269,423,774,446,693,733,
128,779,128,250,911,394,753,197,365,309,350,370,191,578,861,458,807,527,020,
607,784,611,112,125,303,935,900,939,747,400,439,760,249,793,008,833,063,933,
494,428,952,650,383,531,471,755,302,227,541,455,563,038,895,386,479,364,244,
326,768,602,977,500,835,007,055,545,407,564,521,522,790,719,101,859,457,272,
333,398,720,374,554,223,906,910,250,721,469,754,715,322,479,287,895,558,414,
767,676,508,576,120,900,137,646,366,861,611,718,783,602,603,771,073,009,486,
014,571,683,208,184,065,509,518,194,892,123,533,063,506,575,059,815,132,755,
600,987,483,613,868,604,021,025,186,301,469,730,790,469,221,183,698,697,914,
127,632,335,851,814,082,166,464,444,277,683,410,630,813,267,154,613,307,471,
284,007,864,378,846,541,713,951,395,124,726,584,701,082,115,595,905,773,899,
641,862,381,003,840,608,837,083,283,365,408,571,932,166,504,754,640,376,890,
989,690,164,953,554,335,870,059,792,097,426,675,504,411,158,503,609,232,364,
760,428,088,055,201,659,321,460,306,486,348,255,433,334,410,008,773,007,163,
326,121,031,002,298,445,991,638,332,346,411,688,156,063,875,618,876,061,370,
934,403,801,756,890,591,715,872,567,685,095,000,937,167,876,277,235,149,674,
171,257,595,716,454,892,139,964,854,964,049,103,419,319,755,601,230,920,033,
569,719,436,743,874,191,488,159,675,860,893,141,723,997,239,311,551,313,374,
077,089,383,900,252,408,276,693,034,397,667,140,510,422,737,475,372,614,966,
343,427,812,470,561,252,322,133,977,901,448,872,216,565,697,195,423,398,626,
598,165,613,972,543,996,364,918,628,104,329,166,009,984,267,163,548,048,164,
354,884,338,910,258,630,139,497,935,061,719,491,099,265,072,830,110,620,955,
859,782,976,755,265,504,405,609,534,360,417,269,819,322,023,551,113,026,115,
876,143,231,091,712,217,596,006,732,623,687,558,007,666,514,685,952,699,801,
745,291,100,790,300,604,746,984,898,905,218,022,830,937,577,365,894,925,699,
991,574,062,092,520,611,504,669,186,208,534,344,602,381,243,160,128,356,379,
137,543,614,161,012,772,984,349,189,129,371,299,534,351,265,563,948,270,010,
966,403,767,438,858,892,106,057,599,253,147,717,288,243,568,141,311,862,836,
550,727,027,019,914,709,720,399,957,687,200,169,832,792,574,336,789,536,601,
267,380,447,720,128,088,490,411,672,206,169,862,832,155,031,457,297,378,870,
980,241,210,207,699,621,928,393,189,772,496,717,871,375,469,177,660,318,101,
492,520,069,925,300,003,206,579,187,012,121,680,780,217,024,283,225,458,511,
717,167,163,795,768,104,360,837,151,381,673,247,378,606,501,577,677,043,364,
207,552,188,786,059,451,856,311,257,514,900,539,019,808,866,552,541,912,389,
504,289,217,441,510,391,876,500,342,603,967,721,099,195,079,420,824,716,982,
990,903,927,688,004,807,184,838,757,759,315,099,494,055,685,055,715,037,930,
930,367,996,335,847,111,386,045,158,772,036,238,165,604,530,228,179,409,774,
909,590,319,171,892,219,162,163,524,197,089,435,507,960,143,140,754,609,316,
704,431,041,707,951,739,696,959,869,176,296,768,837,391,373,990,689,251,976,
081,194,631,265,355,258,163,504,916,015,939,165,565,175,000,888,496,752,869,
992,462,147,806,410,776,454,659,999,125,154,174,592,708,055,732,563,068,441,
796,929,988,936,195,101,354,822,691,050,055,452,071,309,787,511,898,177,417,
502,896,421,013,759,069,412,708,808,151,834,677,789,308,820,845,312,949,877,
071,592,860,056,831,342,844,059,387,639,558,662,891,757,319,326,252,071,463,
405,003,111,398,544,513,839,389,480,205,891,161,986,223,511,087,026,963,481,
407,881,516,510,647,505,001,439,183,977,389,948,961,161,405,469,804,743,688,
543,774,994,648,590,599,618,950,562,644,394,668,456,822,748,404,983,146,607,
019,416,757,042,423,165,478,402,752,379,532,044,214,735,336,831,216,881,870,
171,909,485,676,307,580,484,128,977,043,680,715,315,076,862,910,952,331,807,
762,249,304,414,454,125,438,626,390,925,617,460,471,011,200,666,962,203,651,
713,824,210,288,329,265,939,007,856,903,800,851,679,622,304,663,565,782,305,
873,861,659,913,592,406,484,281,912,858,490,123,402,854,693,069,416,412,670,
074,585,111,749,196,667,976,976,554,990,431,456,533,482,700,733,833,002,771,
250,437,999,573,621,586,993,807,730,469,502,954,795,653,294,256,751,713,192,
519,348,115,264,822,248,194,293,935,071,553,110,825,443,435,057,046,800,637,
178,790,507,672,798,064,226,156,523,857,056,677,943,101,258,118,719,653,249,
442,996,316,260,164,588,786,390,336,705,749,402,506,831,605,709,790,810,375,
646,115,765,697,482,117,376,605,960,309,488,191,305,710,375,388,105,069,014,
026,826,913,550,388,192,020,473,872,007,145,006,769,097,829,742,917,299,736,
926,222,922,639,376,298,816,054,391,508,157,173,934,982,428,357,203,550,941,
447,261,954,966,673,168,729,630,655,151,769,166,579,181,062,352,337,431,160,
421,008,033,831,209,928,954,364,499,184,512,194,568,474,345,270,342,217,182,
260,108,950,622,644,663,653,598,226,893,796,797,665,799,083,898,925,686,240,
720,882,612,718,630,255,017,467,726,949,069,501,613,319,642,553,680,070,465,
526,275,141,383,566,442,925,963,644,555,214,129,207,512,367,235,140,562,372,
808,284,521,159,266,775,254,874,837,421,790,732,370,552,596,846,219,359,158,
057,713,646,982,835,191,329,526,968,415,386,625,896,858,152,979,022,322,019,
705,674,729,659,247,605,086,247,695,800,195,285,856,664,974,327,302,324,873,
758,165,976,803,736,375,730,741,269,132,997,088,330,228,509,378,727,301,097,
778,207,053,283,896,255,142,138,327,129,204,942,629,802,370,130,630,325,048,
183,077,445,862,052,308,008,764,232,854,311,538,820,802,693,109,266,167,283,
154,034,451,105,313,205,917,376,550,176,909,855,561,902,012,169,524,162,305,
444,746,007,524,616,603,618,518,985,416,694,681,260,798,613,985,558,289,744,
173,264,567,897,759,507,812,859,962,910,230,172,262,784,976,898,614,049,941,
381,105,763,340,685,369,023,212,299,919,264,143,346,401,116,998,298,291,504,
230,368,453,693,741,699,606,261,874,251,485,846,687,781,479,528,847,638,422,
844,932,364,521,753,568,970,570,494,023,910,609,723,634,628,268,618,840,553,
548,029,066,529,559,221,674,207,623,888,034,542,252,633,061,661,210,160,371,
294,835,974,315,519,918,664,246,718,191,060,701,470,548,377,789,969,350,377,
497,908,058,562,324,052,013,138,632,311,877,225,556,069,088,218,745,496,090,
350,807,399,113,017,051,348,890,054,639,665,279,843,101,315,326,818,487,438,
514,647,328,136,069,739,491,734,190,434,792,047,960,708,464,968,827,929,819,
462,696,294,784,367,053,912,913,771,714,797,535,514,385,675,214,505,002,737,
862,471,279,521,502,410,192,104,192,505,029,022,143,479,021,837,369,935,839,
985,633,663,448,354,808,169,083,201,995,989,302,531,453,538,630,626,636,187,
918,492,405,367,041,302,182,275,730,059,707,121,301,514,347,652,326,596,025,
572,280,269,600,316,390,605,535,704,610,635,674,145,846,981,544,588,176,014,
392,278,293,224,448,155,256,001,983,518,522,807,280,665,257,296,115,901,075,
112,210,577,319,246,621,272,687,456,039,851,843,442,841,006,815,714,394,654,
815,647,596,342,400,912,215,139,738,710,424,986,130,762,032,327,317,200,764,
801,951,970,499,388,295,835,387,990,049,215,377,618,031,264,562,651,103,342,
301,861,924,237,930,537,491,229,614,540,492,975,954,363,466,045,187,901,227,
933,636,011,946,885,834,640,828,099,361,343,657,867,533,864,554,914,779,920,
279,136,014,246,338,682,826,443,592,143,328,221,956,969,161,462,742,916,356,
162,886,000,816,595,017,333,983,395,167,057,523,532,392,146,196,015,781,918,
707,608,113,332,916,010,411,116,103,753,545,248,569,222,113,101,107,343,352,
298,036,577,822,958,569,226,167,601,663,526,304,143,417,364,677,071,280,126,
990,955,985,662,253,320,558,148,259,568,214,172,840,575,751,053,631,850,603,
041,202,125,980,584,039,946,404,821,537,722,100,206,564,036,740,082,133,632,
564,822,775,108,665,535,679,691,116,448,109,944,756,353,045,980,808,946,031,
712,729,009,303,006,457,011,343,354,331,012,167,173,630,083,453,851,830,268,
107,957,678,273,762,326,953,442,870,268,165,838,828,599,038,389,039,916,802,
681,225,253,594,465,159,978,752,156,529,684,942,748,122,465,862,028,512,055,
793,444,922,555,924,720,756,518,021,262,879,097,118,069,584,243,033,985,304,
441,676,076,764,328,761,464,238,340,001,005,798,959,356,553,606,672,506,505,
126,760,249,057,817,129,762,959,320,757,461,311,573,295,002,171,501,147,337,
598,760,184,531,754,054,616,043,351,371,654,209,887,703,672,826,622,760,961,
174,279,620,387,178,865,733,429,471,364,661,401,553,446,670,123,845,724,814,
159,360,323,677,785,716,869,431,372,173,439,758,880,155,326,424,302,343,184,
493,540,729,815,556,419,070,661,716,557,472,773,396,529,953,340,937,666,120,
356,963,877,413,863,215,502,304,260,506,244,809,019,326,322,452,640,717,265,
708,210,252,301,256,964,226,901,033,088,853,138,213,426,917,214,445,749,524,
099,075,389,705,090,723,211,049,006,579,355,079,488,015,376,970,510,020,263,
588,651,323,936,267,738,274,443,047,363,116,444,432,554,302,806,726,604,324,
186,240,464,484,041,163,348,206,069,662,121,435,302,924,575,568,377,404,851,
425,989,601,140,997,775,079,760,576,587,620,934,594,685,430,166,029,352,642,
338,386,469,393,879,613,496,968,782,478,118,340,151,289,437,527,577,937,844,
589,098,623,425,524,754,855,155,834,986,960,699,604,543,707,726,957,727,842,
792,863,256,039,680,059,109,099,059,772,392,061,773,067,771,163,655,410,942,
612,686,831,690,676,633,962,680,049,715,295,595,289,211,658,867,347,083,289,
646,693,807,677,143,131,030,211,199,915,473,086,377,397,679,578,845,086,776,
535,578,546,144,696,848,769,712,277,180,974,579,356,958,003,090,433,567,106,
987,381,438,823,202,960,432,295,039,611,832,520,285,159,115,759,296,042,522,
817,562,622,435,470,037,051,598,644,895,738,698,890,675,028,073,021,402,075,
259,021,499,216,296,811,013,306,876,655,592,482,380,876,648,059,197,039,133,
673,512,283,387,110,594,881,390,915,393,027,022,135,181,241,450,207,445,947,
835,416,630,240,327,547,359,936,320,605,370,452,434,549,091,010,940,539,536,
444,139,237,862,563,995,066,144,210,461,299,921,477,899,745,848,499,692,685,
666,803,977,808,224,240,941,365,389,471,599,997,485,849,689,023,248,706,157,
236,633,413,079,982,316,935,492,028,696,397,802,852,835,473,718,660,058,690,
002,356,637,169,480,998,859,663,192,790,654,186,901,086,440,015,246,756,837,
011,987,235,986,181,525,298,063,341,370,059,685,829,247,709,570,484,894,098,
055,096,354,969,233,254,110,349,036,594,508,268,789,244,008,464,786,065,781,
301,159,783,557,847,769,209,828,697,725,177,865,672,378,129,290,233,847,320,
658,895,404,202,503,620,411,829,112,217,473,693,367,043,938,590,670,405,190,
429,596,673,228,512,906,937,297,802,357,446,033,924,012,406,060,908,609,610,
740,845,705,534,325,290,845,986,918,110,503,244,452,782,071,856,884,205,677,
746,346,125,025,036,404,979,568,306,977,186,110,311,874,618,570,291,021,927,
653,522,924,310,469,828,768,134,730,671,515,605,965,814,909,553,927,552,853,
698,295,852,219,974,423,082,048,408,763,941,098,183,417,799,859,704,427,685,
493,482,909,963,561,376,080,098,176,551,185,945,556,924,593,522,129,625,141,
090,077,820,842,261,620,301,938,853,353,140,262,002,643,881,979,813,856,670,
906,710,123,064,967,210,167,486,920,776,824,845,776,247,890,837,417,664,512,
536,716,286,994,609,159,172,814,942,643,345,513,407,667,215,060,023,036,333,
046,351,874,716,995,824,079,929,211,422,218,236,538,205,958,097,671,346,634,
644,205,314,814,522,691,956,072,957,250,990,976,682,218,148,690,108,998,444,
294,386,841,064,776,144,434,421,301,958,205,327,950,853,290,568,572,864,647,
257,139,710,037,820,538,968,165,620,065,969,263,420,228,254,155,843,584,893,
304,360,448,577,919,445,091,670,066,943,630,425,300,729,552,509,423,002,492,
080,269,018,328,763,702,081,511,714,214,928,572,154,880,106,418,685,418,187,
889,597,622,835,019,588,824,350,528,274,582,336,918,776,239,826,451,941,821,
172,219,298,319,453,939,443,742,051,701,081,635,213,962,732,683,295,127,161,
440,026,572,115,001,919,786,466,455,617,404,372,161,078,117,105,019,270,758,
793,675,846,234,217,520,309,015,130,318,552,126,771,596,354,868,541,856,575,
293,356,482,905,732,207,515,921,914,530,858,159,390,686,087,401,648,822,827,
518,488,259,227,904,006,886,574,652,656,880,513,870,457,660,851,841,347,097,
386,944,364,398,286,397,315,590,231,880,189,158,386,691,860,297,105,037,116,
694,976,894,551,522,878,019,434,863,842,790,773,485,611,169,164,652,172,231,
739,717,262,892,911,019,177,601,825,731,642,764,954,284,792,347,286,896,719,
619,229,306,028,892,045,950,739,088,248,124,986,122,553,013,229,460,382,497,
856,640,634,439,773,936,049,046,372,869,377,827,025,581,655,901,853,766,242,
460,875,884,340,149,415,216,535,335,081,010,344,931,962,882,026,131,900,595,
975,143,423,009,207,714,743,805,828,257,120,188,643,631,924,322,723,659,836,
212,801,054,761,519,125,019,469,377,841,671,038,180,554,405,702,611,545,982,
164,210,320,399,411,189,822,816,218,099,964,930,680,020,194,692,967,991,884,
434,767,191,200,594,071,159,036,182,839,811,719,191,818,850,859,849,018,452,
757,116,058,484,939,617,126,866,283,865,601,921,987,222,698,626,970,592,881,
413,450,177,318,634,571,646,710,500,839,604,456,319,626,180,656,594,008,138,
685,847,484,766,896,122,995,235,127,330,669,890,071,882,419,073,251,412,442,
118,261,897,936,046,789,544,134,873,604,550,724,624,879,549,509,198,455,803,
447,681,130,254,040,799,147,393,098,582,506,516,982,629,285,997,384,152,645,
239,263,372,290,720,984,261,799,065,069,097,228,830,452,724,968,421,952,844,
078,182,189,055,802,578,564,476,583,842,395,461,112,779,120,533,081,572,715,
703,064,563,060,773,077,650,237,239,723,451,126,935,201,302,562,665,192,912,
141,110,714,827,768,406,187,491,111,821,244,900,527,263,786,701,699,169,172,
029,350,931,450,128,829,498,766,116,185,592,322,602,996,208,502,466,272,646,
733,740,491,172,163,050,569,162,820,012,759,156,066,990,020,951,218,723,323,
020,747,723,343,065,567,585,843,179,397,236,182,060,224,134,747,560,300,981,
463,156,673,645,793,505,455,114,919,471,447,790,171,716,037,685,040,850,625,
343,214,616,575,851,969,568,803,297,445,111,315,776,874,371,221,979,887,809,
633,483,611,939,555,160,825,670,309,501,800,337,408,535,456,722,042,523,836,
228,085,142,665,528,685,919,914,987,749,817,934,116,008,988,830,484,982,892,
347,877,616,801,142,457,036,686,721,799,298,087,952,072,600,381,189,915,495,
550,136,756,069,845,725,111,662,960,360,380,059,641,122,749,658,872,138,482,
749,129,272,914,007,306,196,058,920,525,517,229,912,747,266,402,546,326,860,
351,791,579,448,254,594,900,068,368,315,365,546,791,760,082,949,499,175,884,
202,338,315,199,354,177,058,236,263,434,632,874,013,539,765,998,918,644,701,
326,810,665,957,062,042,137,081,538,002,753,464,874,872,270,592,625,014,991,
170,189,797,237,371,981,584,882,147,634,145,756,858,152,249,350,063,219,039,
645,804,631,404,709,008,023,927,601,719,237,838,261,802,067,596,192,611,203,
918,660,720,043,309,774,502,463,340,083,049,918,234,521,143,809,857,891,804,
878,141,131,594,689,943,381,168,739,585,357,613,431,060,519,284,422,292,901,
869,657,776,618,952,087,133,931,278,433,545,366,332,743,665,675,779,457,597,
974,321,631,731,884,358,037,350,706,921,291,535,371,504,843,043,406,583,687,
769,862,510,662,097,087,763,486,364,126,920,879,461,547,254,629,454,378,119,
720,661,620,154,355,255,278,097,243,890,038,017,431,976,073,151,303,141,509,
416,011,081,071,265,168,301,798,066,378,935,897,228,616,355,495,405,230,154,
660,230,586,036,706,055,188,932,723,958,421,939,483,674,637,706,049,445,647,
168,479,205,820,336,232,849,129,216,439,239,159,354,504,506,021,542,144,086,
087,690,857,018,338,059,312,033,968,356,141,057,637,744,035,778,204,635,258,
377,125,360,621,255,058,257,035,211,550,013,151,214,119,775,051,736,119,759,
124,683,697,571,834,625,531,559,198,606,058,983,216,291,603,330,228,245,853,
712,471,505,151,861,250,186,157,817,915,360,529,774,713,797,122,526,396,158,
245,484,108,453,461,879,826,027,905,610,682,942,271,843,858,771,757,412,963,
469,058,443,656,095,491,408,737,106,189,723,208,847,979,056,066,965,266,728,
429,651,244,069,115,190,904,586,706,271,888,165,511,281,869,679,260,175,418,
592,517,235,178,560,489,637,588,542,922,256,602,285,871,097,863,658,845,456,
549,706,264,917,941,328,695,958,872,357,089,711,290,565,619,000,042,346,872,
061,584,780,213,112,087,423,634,766,029,624,942,604,883,943,947,651,116,527,
531,743,459,386,513,262,177,729,816,458,048,302,470,941,396,414,568,427,556,
140,836,313,723,018,520,657,708,197,308,985,079,495,589,564,359,017,791,330,
877,353,627,384,133,129,618,743,416,130,417,394,434,031,329,053,813,832,752,
107,470,580,891,357,142,677,942,551,859,710,410,127,372,973,752,554,553,718,
747,638,329,492,496,615,421,435,362,496,961,144,353,992,301,261,527,267,900,
172,423,124,175,680,624,795,815,709,706,238,246,530,063,237,978,979,646,765,
801,324,912,888,023,236,782,517,924,396,979,093,245,387,277,841,571,169,030,
553,286,954,323,978,262,457,206,438,934,097,775,222,388,955,184,520,870,562,
227,529,778,865,900,562,657,756,829,357,042,677,227,520,883,950,159,652,629,
834,778,124,426,336,517,322,332,726,196,671,660,038,410,143,098,296,864,054,
849,709,005,391,845,731,372,985,667,508,824,102,806,290,955,827,127,072,253,
346,488,231,330,757,982,312,616,824,591,126,478,073,612,689,228,827,938,174,
454,719,976,291,284,792,661,674,069,756,048,478,858,489,151,218,755,189,004,
529,118,728,520,846,366,889,156,119,730,851,803,272,849,653,148,109,593,593,
606,183,462,351,340,596,531,783,982,730,027,538,725,629,518,459,217,992,904,
728,600,700,368,501,641,023,988,181,857,156,167,400,558,772,608,779,000,582,
423,978,922,908,158,983,101,571,645,107,866,648,197,907,283,951,709,656,720,
270,722,108,822,290,355,386,561,740,348,956,448,155,188,438,869,722,222,298,
245,190,599,652,348,278,522,035,750,802,563,538,144,904,125,755,811,311,683,
764,486,833,860,757,071,139,189,303,736,082,280,083,634,945,564,302,742,777,
699,591,583,143,180,837,630,871,096,362,955,604,430,789,441,324,268,280,323,
985,299,590,480,304,243,344,239,317,385,587,962,006,964,865,992,086,966,817,
985,645,675,377,771,159,515,417,450,241,300,303,868,666,726,671,213,311,538,
532,146,424,564,164,712,426,502,083,370,165,051,355,718,027,295,917,467,806,
075,921,456,768,940,782,746,529,554,468,756,978,314,117,786,746,259,385,109,
642,428,108,440,487,648,479,208,540,010,100,845,519,767,086,335,234,209,815,
858,038,066,628,335,504,822,005,992,911,730,535,096,427,721,480,577,203,840,
060,892,414,772,945,678,656,855,096,174,824,301,798,731,307,865,624,821,387,
121,870,609,870,481,369,893,093,310,379,980,124,971,164,296,117,770,740,347,
660,791,831,390,121,205,053,694,367,457,096,822,935,675,111,321,206,388,826,
400,983,188,082,250,113,989,113,767,771,849,279,356,733,266,855,538,749,717,
512,854,228,498,771,881,524,445,126,925,270,135,851,427,091,540,668,360,014,
808,474,127,051,385,880,451,954,326,341,195,986,078,822,952,661,123,663,709,
048,941,001,008,627,212,282,294,214,485,787,749,927,910,270,186,080,795,571,
179,249,151,432,672,434,796,548,834,334,479,232,879,214,498,853,712,425,264,
159,408,083,254,223,604,010,039,897,318,686,087,564,086,301,505,267,856,873,
922,159,922,573,683,899,891,106,883,905,105,166,725,938,337,706,576,582,670,
290,050,499,700,381,059,811,327,956,442,225,355,865,800,560,212,537,903,697,
517,488,176,923,004,138,592,264,842,962,802,479,157,849,715,677,948,148,353,
674,329,490,107,332,826,370,563,035,831,964,108,629,715,525,076,404,064,779,
606,271,860,576,018,447,711,130,237,398,524,703,637,145,195,704,352,545,938,
134,346,233,818,269,711,083,482,054,464,487,280,820,077,863,764,104,148,690,
501,130,378,327,102,341,015,014,014,015,125,518,614,851,255,133,805,747,444,
676,375,579,627,377,798,200,070,813,321,700,531,710,783,303,156,141,897,893,
203,867,083,952,990,864,794,383,421,231,520,776,364,934,763,022,763,354,719,
364,696,310,063,547,927,779,249,711,586,625,745,535,291,699,928,689,956,019,
052,780,473,299,651,658,553,473,907,983,629,259,137,456,639,661,415,574,021,
124,435,300,062,768,530,312,744,261,595,093,069,129,045,244,449,023,895,976,
187,351,791,632,823,466,643,183,358,589,413,820,738,751,596,817,604,777,011,
463,963,129,313,796,219,446,790,393,926,956,450,689,753,670,864,369,645,844,
737,613,798,947,477,005,865,270,942,664,901,879,743,493,572,729,639,055,741,
226,515,986,204,991,947,315,910,633,333,443,140,382,399,453,374,331,644,993,
159,943,177,122,934,339,107,713,912,647,030,914,415,172,465,895,603,190,040,
319,012,245,481,852,789,549,961,502,055,867,410,000,069,452,429,649,050,819,
051,987,487,535,268,495,158,703,312,208,478,155,623,817,718,911,602,058,516,
688,508,844,202,291,778,027,358,202,193,120,769,723,946,840,166,722,603,674,
598,319,125,724,113,877,253,369,882,437,594,678,251,146,478,919,221,010,534,
002,859,782,830,763,209,765,741,864,360,066,855,307,706,307,953,806,561,415,
772,705,737,753,551,140,777,577,621,244,030,494,379,460,516,041,712,673,261,
729,083,010,687,599,935,273,923,396,092,909,124,087,442,861,725,512,511,671,
218,986,168,297,007,073,512,738,435,000,317,420,221,579,326,604,877,579,181,
150,831,024,577,600,536,522,684,822,717,360,283,204,391,389,155,897,441,175,
625,785,122,913,530,814,818,130,788,566,175,616,586,593,751,479,089,334,582,
098,628,143,705,124,675,381,397,713,290,899,200,509,465,940,689,951,022,268,
415,182,549,293,443,420,844,662,275,770,468,164,565,769,521,545,097,896,521,
868,463,921,969,347,131,534,929,758,989,745,623,954,970,566,559,836,320,740,
213,760,352,825,481,985,389,090,010,272,353,195,948,285,475,831,930,362,832,
744,907,068,711,412,434,909,813,180,741,748,226,704,109,966,087,588,772,589,
749,329,112,486,052,589,152,695,779,228,598,102,703,530,086,554,170,661,123,
213,811,315,701,107,717,017,823,889,834,617,271,315,730,354,207,391,907,368,
611,815,269,448,384,944,576,437,628,199,664,516,254,381,215,660,363,813,711,
884,289,737,775,362,473,914,790,822,887,126,711,956,761,159,583,206,413,893,
535,596,776,327,610,791,455,459,586,582,263,364,882,509,458,414,893,293,903,
012,176,807,467,813,260,097,040,318,944,849,025,825,182,974,703,320,486,379,
799,728,798,157,041,153,257,610,111,153,054,768,975,297,623,858,650,543,582,
072,882,838,891,032,347,055,296,824,657,619,758,587,258,985,810,998,719,373,
687,997,584,772,688,363,147,508,449,671,231,466,001,878,303,301,652,790,893,
782,532,569,869,422,306,247,313,941,050,117,096,109,164,913,446,640,148,221,
694,597,168,243,205,307,107,776,787,264,154,703,765,512,502,467,679,031,474,
111,735,897,252,187,748,150,999,987,687,857,034,262,960,696,128,956,780,326,
390,414,120,402,452,651,840,534,940,495,450,839,523,485,481,357,296,992,419,
277,260,035,838,567,156,297,910,627,629,952,649,598,854,897,571,316,964,020,
780,932,614,643,020,719,411,375,070,498,638,870,076,132,249,633,913,454,930,
537,746,047,413,730,197,842,785,925,095,138,439,006,752,816,881,761,050,979,
716,459,005,890,726,377,107,338,860,197,806,968,500,368,590,361,309,508,586,
119,576,152,123,674,400,336,659,145,802,534,266,400,009,962,770,368,249,396,
155,857,242,825,994,250,392,587,946,509,178,636,416,177,068,695,791,993,927,
761,858,658,669,720,085,699,833,432,563,094,514,186,171,903,873,634,180,539,
660,690,066,122,298,740,666,165,564,624,268,755,052,719,215,339,922,777,514,
546,097,761,371,428,904,264,122,900,662,995,007,875,189,438,968,176,043,629,
736,752,228,619,251,973,678,630,769,245,524,461,112,522,457,187,122,968,764,
772,669,069,124,064,032,981,457,529,351,074,018,798,698,324,074,983,067,877,
916,769,559,651,390,932,865,903,693,312,884,106,494,603,720,019,153,006,758,
012,471,227,792,298,565,270,314,375,762,760,416,696,224,484,988,331,034,364,
848,666,157,927,507,817,363,933,360,935,932,617,670,797,905,720,792,819,063,
027,696,155,559,307,669,509,721,191,365,666,360,064,563,182,365,990,402,490,
012,846,043,762,776,624,516,569,366,981,462,595,097,190,288,377,625,745,811,
841,165,521,828,630,300,232,437,182,839,102,794,806,107,983,730,798,200,406,
918,976,552,238,399,704,993,464,240,129,264,993,360,150,972,243,045,580,064,
529,277,489,448,840,109,748,494,307,252,397,142,444,627,966,451,534,443,779,
987,621,791,423,720,744,826,599,930,759,803,226,989,353,556,259,749,172,814,
275,751,320,865,686,278,820,957,414,423,537,609,945,031,060,606,611,598,874,
374,913,436,563,270,699,108,423,621,566,527,186,467,230,045,562,456,146,410,
545,453,161,899,299,718,470,783,308,419,321,650,784,083,945,135,451,276,639,
583,675,795,767,020,412,834,286,392,077,930,661,733,459,251,139,840,365,667,
794,544,196,221,782,658,040,333,943,441,298,501,720,734,485,410,084,841,974,
538,969,157,737,257,555,998,451,240,805,894,690,338,167,519,880,931,523,593,
457,836,115,308,978,933,024,572,453,916,853,581,908,500,219,651,503,626,154,
873,771,063,705,543,234,842,606,374,507,235,229,978,411,247,400,706,387,123,
833,049,818,423,641,227,255,285,330,583,433,927,923,395,055,970,474,151,402,
933,708,903,343,607,561,237,495,357,940,011,234,316,146,911,127,380,501,476,
182,271,713,414,944,245,653,377,825,437,652,076,036,617,536,794,234,521,851,
121,574,357,139,668,941,458,766,904,422,780,638,687,874,967,299,440,901,055,
241,218,456,844,003,550,389,799,646,949,986,047,307,529,322,238,059,211,735,
673,559,761,911,490,052,320,238,398,974,950,849,776,682,213,585,425,669,407,
484,385,793,914,461,078,287,981,465,286,376,050,146,649,983,806,199,973,266,
726,630,577,956,760,381,536,549,297,776,333,732,573,135,104,699,941,437,077,
087,605,669,430,986,711,733,148,384,729,243,112,419,520,498,835,423,295,491,
044,603,641,738,412,044,092,733,522,647,727,502,398,157,619,487,988,226,140,
347,908,642,799,363,960,027,688,662,103,544,209,208,587,751,035,383,604,017,
290,850,659,965,314,174,826,213,515,808,248,097,600,798,332,795,612,743,485,
764,118,883,560,298,634,686,794,701,957,147,639,379,495,352,344,618,094,590,
865,331,344,167,313,316,743,599,465,748,944,898,000,137,196,855,460,723,862,
056,279,288,226,914,879,031,313,710,034,002,390,631,842,286,020,405,472,412,
817,820,595,110,112,461,820,480,854,740,123,675,792,718,116,487,802,798,242,
960,798,926,281,170,336,204,489,567,729,249,635,074,521,792,160,780,738,253,
591,383,131,770,547,434,451,145,704,003,827,311,668,703,101,157,151,156,751,
585,862,747,171,658,853,782,977,238,516,563,308,727,305,583,013,670,623,629,
535,733,908,784,962,482,480,390,098,075,508,885,367,087,570,125,821,361,449,
470,240,581,229,855,923,348,305,870,535,568,726,991,831,250,278,785,708,996,
753,833,193,399,230,566,834,302,006,445,474,312,816,345,948,569,011,282,849,
274,142,856,305,770,421,212,515,066,126,612,772,034,349,716,570,764,834,607,
372,149,257,887,102,763,988,936,820,526,427,328,732,054,538,645,346,695,463,
729,376,049,835,360,018,100,503,948,838,355,654,967,408,453,901,431,114,762,
172,432,454,278,913,663,954,741,481,894,423,060,487,407,189,596,459,109,769,
121,585,559,592,282,588,636,741,302,484,221,468,569,573,072,275,429,430,346,
753,090,408,202,475,091,105,163,421,588,773,119,313,946,142,224,676,749,267,
713,019,801,170,125,186,290,232,585,282,081,826,729,956,836,917,772,113,291,
732,886,877,080,027,068,340,531,191,556,938,929,020,481,966,699,955,961,229,
956,280,110,135,180,221,932,425,957,563,690,397,882,026,918,943,171,823,595,
327,663,870,664,931,229,505,353,059,819,541,553,359,172,758,471,992,187,093,
908,610,933,161,455,009,686,576,660,146,649,354,769,763,649,003,107,490,483,
772,782,989,697,201,099,185,606,234,887,848,663,288,263,230,974,789,004,500,
567,154,888,714,530,927,150,541,064,798,273,599,257,897,938,242,577,080,680,
598,924,125,320,412,010,672,490,843,433,295,979,177,889,258,451,825,716,687,
657,480,297,974,946,455,919,586,534,327,373,332,679,102,223,667,290,294,752,
826,704,114,533,737,862,840,764,204,800,276,831,330,424,436,287,488,203,303,
334,876,651,215,431,186,280,437,092,059,274,547,736,343,354,239,103,357,871,
247,161,524,734,488,832,837,696,053,434,791,072,535,288,343,120,757,158,025,
863,285,389,675,687,122,908,519,360,705,348,080,446,801,454,246,086,247,375,
460,939,651,655,758,706,701,556,834,875,424,316,041,884,071,703,867,305,672,
802,132,926,217,373,393,198,336,792,648,286,145,554,862,529,408,386,923,378,
054,547,486,808,411,990,953,425,941,679,016,976,376,198,882,748,662,640,848,
736,746,966,454,906,140,249,951,070,189,840,365,532,192,236,747,619,203,170,
767,603,072,349,664,257,265,246,757,483,550,882,704,556,598,523,442,053,843,
731,838,094,535,394,089,123,675,885,667,616,055,204,471,568,931,463,063,946,
890,650,690,100,643,932,703,817,809,865,473,512,156,777,766,276,882,967,144,
505,803,568,434,644,327,008,142,361,759,159,285,418,976,531,909,980,492,461,
963,771,083,774,120,486,899,041,865,595,395,433,507,556,668,833,371,206,798,
626,050,674,817,138,272,556,780,053,331,146,256,210,468,149,548,191,029,455,
425,167,812,859,737,259,747,082,724,646,209,373,381,699,918,074,577,262,181,
785,591,590,313,510,222,565,479,813,188,285,503,928,403,766,741,046,579,759,
236,706,425,228,916,678,858,674,687,901,353,911,262,662,471,706,104,883,186,
290,432,433,346,222,258,303,976,456,580,875,256,290,909,228,127,631,897,901,
028,368,222,125,585,927,502,007,591,244,752,322,111,693,985,881,945,609,481,
022,049,442,461,241,267,200,115,838,356,114,795,005,011,168,698,042,585,316,
474,681,008,640,119,610,641,641,112,249,556,950,807,450,154,145,802,022,086,
001,755,563,377,309,925,554,519,499,076,399,381,444,779,371,715,960,018,202,
095,740,927,721,300,902,075,296,918,282,102,977,939,774,946,395,867,776,175,
228,677,797,816,578,220,693,462,583,950,511,152,369,835,969,747,231,687,816,
561,198,615,075,730,612,633,522,335,767,628,478,445,723,916,043,445,194,220,
987,907,492,367,470,036,796,789,722,089,786,167,638,016,691,439,667,475,094,
990,106,244,722,930,386,970,825,589,109,566,178,551,977,855,772,968,463,722,
990,264,279,543,104,341,807,859,155,859,282,287,600,975,487,451,581,085,192,
037,585,115,581,646,593,855,286,664,680,577,455,172,581,561,937,978,120,150,
035,083,139,753,964,788,443,010,864,775,046,109,941,019,227,697,198,991,771,
416,171,076,796,174,399,517,844,822,121,146,030,462,596,612,421,571,493,866,
187,275,466,107,593,066,303,301,068,668,345,872,197,621,738,281,964,470,888,
681,629,748,222,408,670,693,922,985,844,711,358,735,708,688,374,614,969,775,
976,735,472,550,087,954,852,708,635,598,136,328,894,144,928,292,944,954,228,
905,012,895,548,664,883,318,756,801,737,368,716,772,847,956,635,461,504,461,
837,270,249,035,094,150,768,367,779,420,135,512,253,447,082,490,801,088,416,
294,731,630,448,232,037,825,236,453,249,236,560,776,151,598,393,170,297,172,
228,068,583,312,057,101,027,531,066,540,039,170,801,488,680,523,547,586,510,
679,000,816,150,865,278,269,252,871,582,493,388,103,607,970,408,750,429,784,
743,916,290,054,560,872,168,259,813,272,287,207,531,680,121,123,519,793,631,
900,638,573,648,177,721,917,011,525,781,201,602,340,507,942,173,888,308,374,
687,558,558,165,793,967,225,320,177,002,556,020,896,708,860,006,992,413,480,
526,842,465,543,924,839,081,332,482,259,706,896,219,332,883,808,609,038,811,
605,221,918,659,126,637,143,712,817,076,285,589,823,904,764,962,580,435,112,
704,521,477,530,344,863,265,259,700,015,585,100,721,719,028,767,127,848,244,
528,586,155,224,930,009,740,057,244,528,826,136,829,453,465,391,273,256,009,
810,581,102,277,917,474,874,868,167,263,483,689,771,270,316,537,199,118,445,
836,481,938,613,023,824,140,681,084,879,565,522,769,551,827,736,319,666,841,
474,137,080,493,205,302,694,546,701,725,012,834,633,260,197,748,056,858,654,
484,948,066,927,018,788,231,933,900,837,203,849,450,898,715,619,958,742,336,
024,215,121,327,927,105,254,057,602,040,205,728,822,134,572,170,320,038,050,
433,147,360,121,548,202,386,896,372,004,664,072,466,890,398,060,442,694,991,
150,090,185,641,522,824,324,732,748,959,272,975,476,421,645,272,762,544,604,
177,970,205,930,422,154,910,199,716,648,261,121,672,150,854,553,241,683,050,
239,836,993,030,191,668,347,862,511,563,106,450,855,261,617,484,439,337,857,
966,709,111,482,119,936,900,627,579,828,212,906,882,486,048,095,576,006,013,
183,692,395,717,308,648,425,019,214,773,652,592,460,040,859,898,859,951,364,
933,664,589,078,006,833,059,018,071,002,883,725,316,021,845,640,552,808,972,
496,373,402,950,917,303,748,977,010,257,961,882,482,488,958,893,213,632,148,
930,131,625,499,505,965,091,017,432,861,546,488,132,659,856,673,737,495,509,
507,328,669,825,564,349,259,238,679,771,237,507,469,652,841,423,725,771,249,
872,751,302,157,112,877,966,209,185,812,743,650,570,593,355,609,570,852,642,
284,504,555,267,939,562,499,922,205,606,342,355,159,846,002,909,601,534,176,
844,104,373,126,011,376,888,975,265,411,287,752,441,565,404,696,642,699,957,
728,567,942,174,261,598,763,779,203,084,191,623,062,565,598,291,418,041,502,
867,346,626,933,033,147,901,208,766,389,531,370,440,420,363,818,359,619,464,
831,352,492,145,718,207,066,842,023,650,157,214,976,408,946,324,297,737,887,
729,291,992,747,362,404,046,580,704,694,374,349,416,337,193,894,466,849,087,
608,775,720,288,336,085,315,675,408,955,678,418,517,522,154,696,092,776,120,
851,017,993,590,046,299,719,251,563,184,654,099,302,073,483,327,918,407,650,
577,839,027,266,707,505,466,692,138,029,153,691,456,033,594,852,490,732,946,
365,772,487,355,469,426,028,569,323,350,162,417,480,359,671,598,783,184,605,
267,036,497,219,136,805,845,980,744,857,242,007,158,929,995,594,658,619,918,
581,824,321,776,389,024,415,626,962,033,372,153,384,587,508,890,395,687,152,
011,374,247,746,545,940,567,348,590,553,723,394,592,424,868,509,777,698,199,
779,996,645,976,424,011,492,216,812,290,006,481,951,543,194,792,965,548,587,
152,241,283,238,670,797,512,516,737,174,082,261,775,105,022,634,061,977,805,
435,095,245,349,168,641,932,316,535,573,631,289,630,982,487,553,942,366,223,
206,281,575,213,281,595,408,530,402,963,944,789,965,181,954,624,629,321,135,
107,636,963,502,905,657,188,309,221,186,395,722,823,698,897,494,690,771,210,
445,938,947,001,616,001,508,939,196,499,137,634,584,357,473,401,285,110,427,
703,448,966,274,062,824,766,095,245,300,637,047,812,011,212,549,080,946,299,
691,143,639,233,532,756,100,618,551,796,870,028,096,560,004,524,667,578,110,
743,195,720,271,014,141,526,103,108,739,296,187,924,178,325,417,925,634,680,
714,867,589,343,844,936,866,701,020,809,304,307,072,963,347,028,476,474,639,
246,796,078,551,030,594,745,993,581,258,845,779,028,613,029,262,644,371,682,
164,328,704,690,158,393,027,544,913,592,870,582,992,794,517,650,774,134,802,
831,320,695,497,394,973,143,346,773,891,730,119,525,117,128,353,476,006,226,
189,956,298,472,318,411,125,357,044,199,407,983,682,699,032,124,917,402,435,
578,268,598,203,875,136,593,240,628,162,542,466,699,422,681,143,347,787,262,
013,722,084,566,294,361,876,627,038,228,556,825,358,170,327,272,749,312,497,
641,080,172,867,258,449,434,659,327,451,916,410,237,619,559,187,288,117,751,
182,449,755,222,548,584,668,204,170,901,299,071,458,636,732,626,676,026,920,
500,752,420,878,421,902,599,204,000,415,305,726,051,956,589,302,294,877,225,
614,219,471,930,248,480,959,363,067,170,446,652,130,709,612,697,969,754,136,
014,756,350,057,514,059,703,593,974,402,851,416,600,991,193,880,224,879,395,
243,032,018,154,811,127,441,454,582,394,883,014,173,786,216,154,018,697,824,
426,767,635,530,655,612,158,728,265,968,334,729,901,071,641,800,000,910,161,
257,139,110,065,466,931,491,306,759,289,148,500,044,271,711,021,820,751,767,
682,032,660,627,404,682,297,499,349,536,779,456,024,747,602,229,883,066,460,
285,252,711,019,953,775,352,261,753,114,923,382,347,220,004,718,279,552,551,
219,856,398,393,877,297,118,029,314,152,195,669,081,299,925,220,837,456,658,
144,855,155,387,816,532,025,697,604,879,958,887,746,658,752,902,516,452,458,
370,267,836,490,893,667,857,884,212,824,514,706,100,226,699,323,207,623,707,
705,800,886,242,321,266,357,827,081,147,585,792,497,686,579,546,411,186,989,
242,057,732,113,842,575,704,830,561,072,520,418,883,573,761,712,242,893,982,
953,835,065,256,578,311,564,568,351,379,409,299,914,640,978,196,220,724,924,
253,878,670,477,039,488,858,485,397,580,203,192,904,955,874,479,867,587,964,
079,020,644,278,725,858,532,638,762,025,766,286,659,841,793,255,550,968,565,
923,408,813,339,271,230,436,400,955,166,443,958,236,739,466,363,381,945,276,
939,519,114,221,567,127,664,430,770,373,696,776,951,116,390,695,235,510,672,
447,652,562,048,192,809,622,020,918,933,488,263,125,559,821,705,410,846,683,
428,670,373,645,168,885,660,788,658,060,937,339,582,880,950,648,236,604,528,
431,048,344,624,230,169,293,106,452,705,629,169,764,900,666,173,792,859,488,
679,707,995,920,851,929,896,850,907,392,185,978,370,780,608,253,680,243,283,
018,018,080,804,193,465,471,140,372,739,712,524,072,387,458,306,277,690,726,
597,641,422,376,686,838,075,209,109,411,865,070,780,137,011,981,684,241,095,
273,488,551,450,749,315,418,733,951,185,659,485,154,691,100,714,965,077,578,
185,206,046,352,148,797,837,571,717,887,173,330,667,045,022,556,139,960,633,
895,691,818,016,327,707,273,681,683,256,118,514,677,809,486,228,573,859,290,
533,961,035,459,974,004,045,226,510,971,985,963,885,846,289,869,908,682,858,
206,929,898,487,873,402,102,250,917,185,387,458,023,498,158,856,231,372,643,
701,771,513,015,479,337,843,310,117,790,861,884,328,589,661,157,777,455,527,
432,272,298,859,000,406,711,432,312,739,646,884,106,270,253,371,578,828,316,
837,893,521,663,284,612,674,119,013,016,120,492,468,259,630,525,443,648,001,
400,771,868,200,614,290,725,662,727,281,065,648,126,367,626,551,774,887,551,
992,455,348,621,298,247,084,983,764,837,455,110,621,992,471,361,552,358,243,
195,842,358,285,229,658,817,212,366,390,149,232,252,778,432,278,582,139,576,
319,313,339,451,547,445,920,821,745,396,195,676,338,879,903,005,264,491,205,
442,226,800,717,459,472,898,718,878,568,669,446,425,610,693,465,458,841,999,
686,253,150,470,603,471,952,960,484,691,095,016,780,060,589,653,727,684,245,
017,213,454,311,590,646,643,685,429,353,801,794,119,969,485,390,020,004,048,
798,540,218,402,292,471,703,074,152,385,182,855,960,224,882,102,529,551,433,
047,028,106,756,773,940,912,671,777,470,273,332,397,019,874,774,958,363,554,
892,105,035,185,169,796,385,343,191,608,940,263,049,019,996,098,149,636,163,
263,675,027,718,105,053,115,194,114,702,631,171,209,518,623,843,143,201,221,
738,811,627,900,800,736,138,328,596,997,209,459,179,416,884,132,187,194,482,
414,724,567,872,565,479,259,110,181,206,154,263,923,028,959,623,919,411,135,
245,472,859,951,204,941,236,299,140,865,761,143,561,409,125,922,933,695,284,
645,547,855,045,795,246,984,115,770,924,285,036,747,098,752,619,385,736,987,
955,866,383,224,099,182,902,093,324,598,970,628,011,759,323,646,630,762,941,
912,853,196,673,279,295,892,193,580,746,565,199,367,978,832,223,201,958,399,
095,939,073,948,575,579,688,093,116,818,063,171,812,404,690,562,832,432,434,
931,554,603,473,035,141,412,423,503,421,933,281,462,603,815,622,512,374,714,
210,545,251,642,599,816,682,316,794,474,122,444,919,538,843,196,494,942,183,
227,057,137,695,545,660,453,252,472,598,037,792,693,439,124,746,472,338,000,
978,347,811,181,720,248,527,563,204,197,279,393,881,917,070,260,806,138,200,
092,403,723,837,290,318,827,073,544,251,060,024,584,771,298,922,025,274,933,
184,580,641,831,677,258,864,192,463,309,200,790,573,635,247,972,287,591,127,
703,785,919,203,435,652,192,206,862,604,137,704,106,169,255,901,757,692,276,
064,977,130,511,056,140,039,508,249,114,840,496,362,612,191,090,203,628,678,
060,780,421,784,776,343,768,770,013,532,692,291,282,477,423,251,304,777,930,
793,104,079,294,057,649,667,055,190,355,003,086,131,674,371,330,161,728,321,
283,421,480,628,969,383,036,107,154,930,605,496,770,215,288,499,009,665,368,
664,929,012,478,281,726,963,552,398,360,756,636,086,860,610,189,922,083,882,
142,213,696,348,495,387,214,462,949,704,746,473,606,697,148,768,881,438,178,
818,279,522,287,277,491,118,074,246,505,322,014,955,883,173,079,245,699,932,
002,999,566,141,921,260,552,954,542,941,161,457,726,553,991,902,743,808,892,
011,503,744,869,082,859,073,132,856,314,402,006,832,463,137,916,793,966,994,
269,600,254,122,624,979,126,241,782,436,409,857,804,905,963,365,351,979,334,
162,132,921,057,907,455,221,425,750,125,952,271,173,357,923,657,483,325,753,
602,573,226,545,204,357,668,098,706,037,361,670,776,442,964,121,994,934,431,
603,753,209,186,897,316,087,688,420,192,161,521,880,624,652,494,679,858,501,
730,707,700,317,562,443,886,763,847,438,427,861,325,624,246,321,148,449,644,
897,391,756,290,885,439,597,366,369,112,443,653,707,820,789,986,467,156,347,
597,335,556,020,362,537,079,814,065,491,254,252,138,380,715,138,046,531,346,
714,352,926,916,091,100,074,759,825,398,092,755,938,933,836,330,198,398,661,
511,629,340,999,170,780,743,004,560,938,594,520,177,458,692,774,251,643,538,
479,184,694,759,298,288,387,997,004,234,679,857,787,957,102,628,823,656,198,
023,700,846,459,883,401,612,862,423,812,210,690,275,099,582,499,116,212,014,
537,162,066,280,419,264,377,286,428,506,120,260,281,129,938,561,301,536,055,
788,942,091,520,976,272,725,031,466,056,578,852,388,759,132,325,653,618,399,
553,737,114,590,596,848,360,122,529,203,252,692,053,488,755,452,291,211,341,
937,380,882,640,928,561,757,335,162,013,632,748,710,086,367,261,393,984,443,
057,494,520,967,106,610,024,342,760,586,058,425,211,319,509,722,565,823,362,
574,587,753,651,837,642,715,894,143,250,916,560,407,328,342,728,569,049,354,
797,258,872,143,657,122,498,703,930,733,599,741,108,634,259,234,443,870,764,
349,844,457,501,660,875,986,512,824,911,933,007,290,223,744,426,634,476,807,
380,576,795,285,170,992,442,354,380,555,653,721,110,258,707,141,836,916,007,
359,207,123,813,800,053,370,767,677,353,112,072,369,100,168,349,697,685,264,
416,505,845,462,294,145,316,961,232,019,161,654,322,159,771,766,438,521,339,
425,282,443,375,453,464,406,278,068,103,476,735,595,120,182,745,060,215,559,
082,439,950,880,043,185,999,279,868,543,760,398,790,995,778,037,694,108,510,
538,247,540,199,417,929,284,398,552,945,971,985,052,510,423,028,659,475,179,
607,622,336,742,459,806,385,760,652,129,043,662,190,419,237,049,905,818,375,
952,865,932,486,607,476,786,286,143,088,976,839,584,592,674,262,057,104,471,
854,927,074,261,126,408,841,717,148,556,932,725,372,020,265,692,006,454,528,
100,254,015,834,315,701,441,001,978,296,152,310,532,220,362,045,904,253,614,
960,785,657,094,609,400,551,793,316,325,293,766,428,166,170,376,660,655,835,
962,102,027,016,000,944,603,722,349,468,139,877,823,077,018,941,434,445,466,
429,618,800,972,541,064,688,937,178,746,368,011,721,730,806,236,897,078,546,
969,932,656,118,374,481,391,338,777,824,371,276,939,843,961,853,397,589,119,
685,617,913,260,617,893,027,804,146,279,739,535,116,440,926,598,506,205,380,
514,450,980,140,260,245,818,505,945,908,591,101,073,914,966,026,210,082,376,
027,476,804,778,435,063,958,945,268,036,028,167,801,835,244,228,723,633,420,
752,096,298,095,901,118,465,442,799,627,431,963,234,495,691,367,028,046,758,
937,406,477,431,018,564,150,155,425,445,650,863,911,791,615,953,594,072,440,
527,466,559,746,205,913,675,015,445,086,217,484,644,176,830,019,554,566,324,
815,918,567,405,406,978,341,526,652,531,712,073,085,343,125,841,889,964,855,
528,278,423,064,931,190,977,227,165,764,893,262,719,877,156,781,914,601,794,
792,640,118,713,297,490,841,588,749,760,336,231,224,612,433,514,743,295,538,
112,844,448,943,227,850,894,412,701,628,956,304,408,089,140,755,118,311,405,
063,374,135,537,069,948,925,261,824,978,565,263,819,646,068,782,446,875,927,
904,923,386,856,231,101,697,610,615,507,484,282,692,342,779,234,573,553,265,
028,433,048,646,346,269,773,141,694,489,045,928,047,609,266,329,175,970,541,
862,637,229,003,860,706,355,101,911,982,693,933,205,966,921,270,810,280,051,
262,958,595,053,561,906,214,890,925,646,837,988,139,178,694,139,920,982,445,
850,546,562,701,704,375,936,119,625,911,013,466,555,352,754,361,976,011,322,
669,063,917,823,492,259,920,631,867,753,661,341,930,890,670,039,012,307,972,
024,730,308,036,555,338,489,202,211,899,017,360,294,840,655,717,093,612,494,
980,227,815,864,044,615,829,011,143,001,548,225,918,637,590,464,242,771,401,
223,649,844,618,489,051,597,974,007,862,429,155,715,059,642,735,520,931,967,
856,591,980,404,157,739,795,409,830,671,925,175,599,821,438,535,472,857,734,
455,242,755,581,465,183,110,254,591,878,204,185,481,433,748,019,974,571,813,
838,120,777,219,328,280,188,193,337,286,784,859,837,836,125,613,950,215,388,
801,519,653,808,974,252,418,032,969,303,242,147,031,402,959,414,294,549,896,
610,843,013,718,729,299,786,033,683,089,300,635,104,315,239,548,121,807,731,
843,076,814,376,010,599,263,057,617,995,298,905,117,649,770,207,236,844,512,
575,576,251,028,056,141,056,768,295,792,787,867,494,573,001,423,434,639,193,
860,471,206,597,617,573,566,497,060,011,671,098,049,808,218,267,982,181,152,
584,707,853,836,404,551,486,080,492,965,807,218,628,993,136,312,378,545,245,
972,239,419,985,502,485,365,252,078,045,241,984,201,701,467,384,697,551,004,
297,282,915,533,845,653,054,252,690,849,761,949,120,305,548,831,957,865,435,
299,307,312,197,489,881,955,027,367,370,009,207,889,874,066,414,253,591,235,
507,669,066,042,169,891,185,500,931,240,881,607,898,807,762,303,498,912,080,
237,380,077,627,512,903,527,853,999,117,155,537,909,096,712,097,378,158,605,
752,224,186,010,555,334,124,573,245,422,249,060,381,315,376,717,303,175,136,
862,888,135,377,660,282,501,918,664,252,717,450,374,423,200,707,262,961,259,
722,515,342,081,342,831,875,923,677,699,357,898,858,852,296,268,580,980,795,
258,219,649,175,932,212,657,135,183,520,096,638,514,800,033,630,780,511,445,
641,926,272,787,221,178,667,349,041,390,766,210,287,238,528,310,180,258,428,
379,439,822,109,156,576,417,345,328,721,488,755,381,960,746,575,744,602,860,
474,523,211,131,561,745,166,517,558,119,611,263,958,202,881,426,611,211,240,
967,066,873,515,768,644,188,208,334,244,032,280,910,980,303,877,494,079,954,
772,883,098,525,064,725,798,014,123,607,870,261,924,399,236,302,458,259,347,
935,087,679,002,624,494,951,209,164,825,577,542,678,576,301,739,112,573,174,
800,335,279,483,266,354,321,747,472,089,874,040,581,255,646,396,184,768,303,
005,947,840,723,017,706,379,737,951,539,420,596,752,753,676,930,779,615,182,
430,772,679,839,596,883,105,938,541,169,839,773,336,671,038,073,149,011,838,
399,978,593,061,680,853,765,304,137,234,983,600,482,205,106,847,747,599,908,
363,187,686,577,043,742,990,895,567,305,642,083,023,221,626,611,334,016,789,
766,046,543,329,684,704,949,082,115,966,105,918,763,751,919,895,562,636,494,
697,879,820,210,924,716,236,825,850,759,730,614,965,224,195,075,597,736,429,
233,922,896,375,777,741,944,285,620,125,502,590,160,377,700,048,072,123,147,
042,941,482,890,855,995,276,971,750,445,714,183,584,224,371,749,474,863,561,
078,064,433,639,737,951,201,425,115,121,845,128,120,873,631,507,385,449,924,
754,718,825,407,258,993,324,922,030,900,239,465,622,517,259,573,366,215,422,
144,379,610,440,743,025,119,219,827,104,388,823,452,658,247,935,852,237,806,
358,417,723,105,932,112,994,750,144,507,684,836,121,797,316,683,952,526,362,
679,810,674,212,497,966,859,641,002,476,701,048,040,944,996,589,166,176,124,
006,100,772,756,105,124,721,843,703,443,837,941,844,273,995,636,738,824,427,
013,988,777,771,983,448,577,033,519,648,059,273,551,248,502,808,812,999,102,
754,038,206,602,069,904,368,083,778,778,227,603,688,061,450,940,747,385,884,
234,606,008,535,923,159,641,097,869,071,676,823,223,391,517,339,339,680,395,
572,630,309,693,481,604,237,264,787,176,507,615,109,098,320,084,635,409,810,
163,588,042,641,361,768,391,529,626,756,071,598,248,909,387,726,771,445,830,
111,280,697,071,219,122,906,299,107,057,207,139,958,072,554,053,775,114,565,
670,460,396,464,862,397,898,321,717,313,374,312,874,980,804,655,010,577,729,
835,406,802,990,536,625,708,569,548,806,273,013,994,596,080,868,024,169,810,
358,993,084,709,161,391,653,696,581,116,814,124,413,478,507,024,955,425,563,
955,379,691,898,731,678,943,065,000,189,618,047,896,730,931,930,996,860,558,
167,867,760,363,415,269,215,757,906,723,838,895,674,997,547,611,237,518,383,
631,809,468,292,954,767,808,612,539,731,970,589,467,224,832,068,989,289,904,
859,146,335,043,092,865,452,639,684,674,995,661,195,348,936,952,837,480,094,
434,069,790,092,510,934,859,270,423,946,116,162,264,415,423,403,068,511,417,
770,719,466,536,886,021,571,942,513,003,505,092,287,337,554,560,120,671,462,
736,915,555,261,060,053,747,607,497,452,572,984,548,671,957,026,079,180,526,
950,556,781,632,965,843,942,373,547,850,968,229,956,130,583,621,739,565,233,
214,299,812,378,996,899,287,231,126,575,103,733,182,248,690,442,043,711,002,
846,235,127,808,467,877,692,988,639,472,426,939,924,523,361,183,563,154,855,
017,739,584,741,607,466,480,250,413,316,990,694,680,013,069,060,995,191,859,
010,646,218,959,599,693,527,491,830,375,606,739,625,917,015,044,127,684,015,
272,858,353,185,467,251,889,309,205,740,721,139,170,344,601,225,835,001,340,
090,655,554,944,492,992,122,390,963,002,338,954,315,623,418,446,763,289,054,
984,674,936,334,575,307,958,740,019,997,698,068,473,205,407,731,126,057,909,
815,427,941,958,221,311,019,384,339,230,611,113,762,655,147,528,553,002,253,
062,425,274,929,637,830,391,555,433,874,621,507,658,125,309,297,310,054,389,
053,021,162,226,008,254,672,728,010,641,380,100,761,035,514,102,349,792,956,
469,058,575,980,262,240,873,274,788,553,799,203,367,714,869,218,240,491,808,
951,814,776,292,061,877,052,308,717,045,658,209,732,152,185,032,638,323,060,
179,714,154,970,374,410,500,712,245,053,724,398,782,828,694,008,939,182,567,
152,436,448,409,701,027,541,457,109,082,793,490,037,576,000,656,103,331,277,
851,852,346,022,337,699,347,520,834,607,104,611,883,418,749,844,277,089,893,
322,740,664,047,646,783,508,502,007,466,309,316,673,139,526,253,155,294,230,
930,751,493,241,126,215,267,644,124,081,524,398,637,442,026,718,551,463,510,
237,186,923,676,732,474,011,485,686,017,991,245,483,781,158,384,835,240,434,
383,658,913,787,580,540,666,335,583,467,507,718,118,672,106,647,874,254,357,
841,379,080,171,600,496,415,484,585,138,540,726,938,876,140,548,735,448,464,
358,458,142,947,536,155,812,309,308,984,709,206,891,408,732,905,561,239,053,
556,487,429,749,844,350,506,546,631,605,594,116,425,332,128,284,229,753,674,
269,805,552,854,467,949,359,008,403,267,353,097,873,208,561,622,489,196,511,
269,650,267,234,882,278,981,427,102,586,257,053,482,637,407,235,813,098,308,
920,493,269,861,640,113,608,474,296,819,951,723,759,862,075,294,335,175,642,
524,090,965,700,506,601,645,976,727,284,700,311,075,372,936,715,804,918,525,
748,357,542,483,473,425,189,596,546,771,958,742,819,796,324,276,386,544,517,
580,073,368,314,946,642,291,435,758,482,483,997,664,505,422,844,611,217,341,
219,981,549,675,880,145,021,523,339,432,877,394,549,647,371,510,983,421,586,
014,222,355,910,714,816,369,630,282,593,926,196,706,648,446,585,468,101,389,
062,690,523,338,690,456,471,974,090,754,720,911,166,614,085,526,038,267,603,
445,690,057,619,858,793,888,708,282,396,926,025,604,880,026,194,436,251,012,
193,091,220,757,395,235,205,712,069,206,385,860,261,343,003,193,975,787,615,
567,556,249,009,705,784,121,730,594,716,825,572,470,180,132,516,953,753,981,
293,409,043,426,850,373,683,791,762,152,252,666,334,677,376,583,046,822,016,
500,635,390,924,081,294,760,641,256,260,899,892,135,894,865,190,477,736,226,
301,529,421,719,109,542,082,191,406,562,656,045,042,426,051,837,606,793,677,
900,900,969,463,182,869,257,112,872,164,269,670,966,363,460,550,545,980,514,
536,467,595,129,730,256,614,772,607,713,377,187,774,841,765,858,447,112,723,
981,556,251,207,258,484,285,750,528,544,832,258,702,605,021,271,890,819,539,
596,372,964,407,114,145,764,569,911,911,022,235,735,507,998,584,461,147,033,
599,835,992,060,578,990,283,637,384,705,867,754,221,809,019,942,236,741,959,
265,692,909,331,766,226,719,358,655,795,393,228,660,143,820,147,830,627,162,
453,763,511,995,196,318,866,787,334,339,059,489,187,848,437,588,362,261,163,
789,912,697,568,720,157,640,988,944,009,501,556,638,624,515,847,670,858,124,
536,505,969,935,099,528,825,868,002,907,356,225,429,933,903,144,016,770,991,
193,007,491,829,256,700,737,255,066,113,895,438,839,149,104,729,147,648,990,
605,904,162,101,711,757,158,620,744,357,752,504,995,181,238,623,419,961,241,
656,771,484,367,841,527,919,294,152,367,673,654,499,629,128,664,422,232,216,
458,504,871,678,863,955,610,867,546,095,174,417,365,430,407,612,328,859,379,
262,832,737,562,008,688,278,799,569,892,253,270,676,516,446,201,984,283,903,
058,141,104,826,436,915,216,935,405,688,341,772,103,609,675,291,084,060,497,
287,087,642,340,777,619,674,715,776,367,325,662,967,896,065,357,869,013,682,
023,331,696,556,139,420,434,642,407,390,628,471,634,385,872,729,829,995,790,
991,137,483,540,816,683,450,001,084,901,871,169,875,258,595,845,372,881,160,
956,054,059,325,625,811,371,022,402,844,471,464,712,085,819,642,205,349,661,
435,523,037,509,373,213,358,064,012,893,233,765,067,632,631,653,076,025,114,
382,289,291,450,337,638,711,624,143,469,567,322,314,524,084,247,035,199,542,
980,043,695,412,961,746,097,616,917,477,345,869,576,323,746,418,604,023,980,
093,579,485,993,865,411,018,091,570,729,113,078,786,056,741,727,775,057,573,
454,808,824,690,745,173,395,734,370,234,793,445,399,495,591,699,426,499,480,
010,688,754,325,012,555,118,402,384,250,969,610,869,198,964,627,739,506,350,
684,096,258,230,441,056,180,779,712,955,725,813,993,412,516,913,767,738,285,
574,002,215,386,452,584,351,552,882,966,528,118,837,656,524,244,014,605,291,
689,472,492,642,968,812,589,512,369,521,937,447,219,095,254,272,307,260,191,
060,366,216,181,008,809,785,850,608,607,519,076,442,168,485,599,099,320,131,
579,033,212,154,872,315,151,049,880,672,204,165,481,027,230,568,270,796,802,
963,642,694,001,678,454,238,572,304,299,379,008,972,732,013,123,612,827,434,
242,880,326,291,303,713,702,860,021,103,761,609,225,368,114,511,432,139,054,
763,435,211,545,084,401,516,876,888,621,878,943,374,516,753,095,420,100,040,
718,782,213,704,592,705,793,436,184,517,342,896,870,740,209,809,614,799,926,
010,228,260,655,144,153,794,314,469,611,575,989,882,209,311,150,196,375,877,
415,899,985,594,798,893,349,886,365,663,926,367,258,778,049,089,319,739,482,
351,195,975,799,852,728,420,810,393,235,238,093,888,355,497,041,693,805,070,
997,296,082,913,330,902,539,676,544,141,596,005,225,210,754,061,222,605,900,
503,411,243,262,869,385,599,544,833,875,394,190,821,689,515,890,045,992,916,
471,598,639,272,031,324,224,688,910,241,391,237,658,188,183,768,644,019,092,
019,066,304,088,461,149,343,686,501,725,640,485,861,086,787,585,182,740,508,
135,618,432,229,194,761,639,061,435,304,328,056,054,736,569,325,041,718,059,
911,951,080,998,932,820,065,597,328,388,749,341,878,843,612,879,141,649,520,
291,055,493,480,476,221,641,238,786,251,147,797,773,987,704,494,855,728,171,
666,561,566,373,392,227,430,694,976,561,740,720,440,461,828,555,871,764,169,
065,496,937,184,062,975,038,160,036,360,760,166,208,217,672,874,372,582,759,
351,105,429,480,933,569,735,540,049,155,798,553,805,783,507,605,596,871,046,
460,250,559,928,633,476,175,251,434,631,516,231,069,027,937,581,556,686,253,
007,000,530,624,414,866,060,631,175,930,038,433,049,349,264,264,322,691,700,
609,247,127,599,204,105,908,785,932,138,495,482,859,396,266,351,500,045,110,
687,649,140,495,199,055,669,844,809,899,932,564,177,865,174,055,311,249,557,
121,891,738,606,928,473,795,362,384,035,391,110,017,699,715,902,625,549,371,
550,368,578,070,910,802,937,309,463,619,520,674,232,285,399,919,933,862,444,
059,838,867,992,927,526,011,754,956,947,768,206,697,448,304,010,380,065,529,
149,096,477,735,082,882,104,769,704,972,596,908,111,162,022,541,553,648,382,
422,283,673,360,743,308,448,870,911,823,440,434,484,681,743,273,977,695,500,
212,397,927,087,495,532,780,986,492,968,428,851,720,046,779,698,087,378,467,
313,644,840,327,058,707,593,517,927,464,482,004,344,902,059,860,753,036,926,
282,709,512,103,567,549,730,068,416,211,357,354,829,847,507,430,788,957,311,
112,443,804,681,614,341,508,045,731,325,144,939,326,689,107,289,828,157,857,
257,367,562,227,486,482,136,839,448,810,984,650,543,159,173,747,222,983,265,
023,186,888,444,723,829,735,957,813,978,409,236,848,887,898,821,464,694,615,
930,265,895,523,152,141,728,687,616,563,632,655,175,253,187,142,069,720,773,
739,271,337,017,318,263,453,504,289,789,859,982,808,136,036,102,323,375,181,
261,490,085,589,618,126,189,942,991,151,544,603,308,224,262,053,899,853,643,
700,335,133,489,746,121,209,049,404,865,223,171,953,122,259,329,137,604,194,
120,962,142,961,244,161,065,657,477,225,211,855,491,521,093,078,099,033,853,
215,793,910,737,779,963,379,462,638,975,652,141,607,818,474,568,306,423,495,
007,855,599,856,798,749,959,236,081,080,633,420,162,752,081,029,872,376,503,
113,587,357,028,321,198,234,065,031,773,464,447,403,274,975,737,697,429,028,
547,714,382,159,546,086,121,067,969,439,117,220,824,597,498,446,552,251,990,
103,878,029,541,882,105,505,191,823,203,990,445,691,507,389,267,607,148,352,
259,171,215,712,609,064,577,292,900,816,799,939,088,599,359,555,147,561,069,
398,962,962,153,155,304,650,560,001,893,645,818,855,282,796,862,460,277,442,
955,956,037,251,317,682,722,953,361,188,050,471,540,041,856,401,129,944,682,
304,720,914,138,201,289,374,025,387,221,070,589,176,779,607,633,023,301,444,
606,087,141,415,017,631,387,617,244,711,203,209,326,952,404,183,886,055,881,
827,454,420,285,885,917,869,641,154,393,335,969,334,612,742,949,875,865,646,
599,001,163,419,418,192,377,824,973,477,022,021,414,592,734,787,870,986,190,
863,092,950,302,619,282,815,396,652,653,139,651,442,864,443,502,512,416,118,
050,839,095,781,687,524,149,182,390,984,746,379,122,957,623,789,430,171,592,
274,968,293,281,391,784,770,166,120,870,538,019,380,500,434,467,819,692,205,
729,568,109,496,888,816,859,527,959,126,435,302,353,335,792,268,259,581,134,
019,344,821,541,084,577,862,753,263,057,101,905,204,520,538,958,535,600,759,
631,830,772,723,650,712,458,181,038,881,696,922,044,979,814,908,799,968,140,
664,608,332,512,903,372,298,530,851,854,247,793,337,809,339,211,489,934,791,
550,139,917,439,152,705,220,335,357,077,311,828,825,814,698,005,278,188,369,
351,776,255,325,076,876,658,097,353,009,831,696,333,020,698,109,124,299,153,
527,744,383,813,677,184,088,937,983,741,702,102,342,890,623,849,655,124,262,
774,628,095,125,420,960,983,221,881,746,538,388,793,474,391,966,199,298,350,
769,754,643,655,949,833,192,665,519,012,456,643,635,062,127,639,853,098,323,
949,016,793,832,219,017,413,901,549,392,216,636,281,461,505,237,569,445,394,
793,755,518,054,826,429,982,922,467,387,377,893,242,379,129,121,836,278,016,
029,252,178,080,622,125,664,582,020,162,769,726,686,151,797,669,529,018,610,
074,348,783,394,964,136,589,394,246,097,434,941,266,377,029,978,102,925,034,
758,177,168,962,793,039,507,260,655,740,401,926,556,844,199,342,075,513,128,
640,436,474,522,395,835,009,123,272,993,112,100,325,945,124,315,071,693,242,
114,535,638,382,140,459,780,289,005,146,975,225,840,634,845,513,634,117,091,
259,200,662,018,349,964,476,540,422,878,519,398,599,935,689,524,839,227,670,
901,696,493,784,641,532,517,283,894,730,150,017,172,194,334,329,953,345,220,
617,161,133,970,765,549,705,616,507,777,789,670,015,121,144,785,553,659,822,
051,987,106,884,648,195,964,744,784,462,239,438,698,761,714,161,700,173,647,
216,874,230,933,786,086,209,475,069,145,298,533,238,266,136,309,550,435,165,
876,482,252,852,977,594,502,354,168,527,288,049,400,480,612,710,331,991,898,
263,969,043,791,165,951,083,994,430,912,618,781,266,225,277,178,259,840,051,
463,978,616,879,810,947,292,248,901,643,342,800,045,815,070,382,425,466,345,
265,247,342,865,878,078,707,561,364,603,956,003,176,358,536,675,087,627,871,
207,408,103,123,149,969,456,279,496,556,112,100,455,084,530,694,680,324,932,
062,446,492,819,406,546,684,814,912,971,873,395,247,038,058,580,749,137,812,
301,078,679,876,701,025,773,835,126,678,103,434,598,223,327,217,385,210,889,
531,901,551,365,350,724,586,915,486,583,962,124,704,676,295,761,434,814,025,
929,322,038,855,569,533,076,139,865,939,318,634,340,620,531,590,350,116,241,
137,238,822,523,066,536,091,750,169,805,405,983,715,633,225,311,266,077,463,
710,574,142,461,661,700,184,154,494,216,478,387,212,623,014,225,808,865,395,
091,948,419,361,462,291,198,562,861,585,343,523,290,722,063,991,804,114,729,
834,843,864,799,864,126,544,566,902,416,606,720,846,058,834,148,343,725,320,
983,060,696,666,893,193,138,303,200,080,995,747,929,380,662,345,862,677,989,
218,531,288,017,541,080,875,161,594,137,326,683,916,406,014,501,411,990,413,
302,291,731,848,456,034,306,769,018,094,983,435,713,032,566,814,587,322,071,
396,976,384,616,595,447,389,686,565,925,190,606,867,837,203,739,413,050,772,
840,764,144,861,309,681,440,861,322,480,900,262,497,858,683,882,585,639,687,
195,818,826,907,868,351,037,288,057,680,066,921,014,097,485,605,523,246,855,
295,912,658,748,930,000,851,840,737,711,846,033,958,181,959,829,515,918,126,
836,988,756,186,376,720,126,488,657,103,644,994,703,451,351,462,192,180,518,
818,826,848,037,709,024,801,765,068,699,312,616,276,468,453,716,056,954,026,
468,632,688,092,783,867,801,536,970,715,318,953,316,894,458,102,520,158,580,
755,255,053,357,935,868,326,320,865,478,692,632,977,430,282,238,079,535,236,
611,823,221,920,339,244,407,555,875,496,451,150,131,095,957,409,804,596,019,
255,231,002,803,096,467,941,217,947,801,575,272,489,252,441,829,113,254,446,
329,970,568,905,945,217,967,751,087,182,031,883,118,287,007,239,795,946,477,
481,202,275,394,125,666,514,528,642,759,688,060,011,142,441,348,086,798,789,
528,064,398,017,402,196,107,994,677,603,762,411,489,241,140,790,826,783,855,
752,200,455,822,271,623,228,357,257,602,629,193,132,198,938,839,089,556,297,
444,226,904,613,968,047,056,677,855,967,790,970,177,400,113,244,788,740,834,
336,948,925,500,713,706,161,713,037,842,090,520,803,008,386,675,412,715,200,
565,517,739,000,655,343,426,525,886,788,698,818,467,677,209,814,668,705,386,
102,385,625,103,132,925,760,259,892,548,570,319,202,560,998,570,755,545,503,
500,190,914,816,403,013,505,436,763,483,503,795,605,164,910,793,223,056,473,
225,038,171,707,150,993,165,677,120,482,199,127,802,457,670,449,900,350,405,
825,420,768,580,022,203,266,340,589,714,964,674,537,763,393,263,101,906,172,
182,678,390,842,852,841,628,592,956,196,747,278,511,638,446,860,965,565,181,
698,174,899,195,415,565,099,320,841,476,316,204,706,594,948,782,201,755,235,
250,993,303,815,004,347,780,930,456,655,085,445,346,090,057,593,511,769,239,
790,374,158,999,169,162,929,144,927,670,377,035,099,380,987,263,201,482,434,
318,974,479,797,284,205,385,133,902,250,802,159,589,296,664,192,033,253,161,
643,348,234,220,700,163,332,876,608,072,552,110,576,344,248,578,325,455,439,
129,611,217,765,524,532,900,947,884,128,338,858,591,827,698,595,537,930,157,
532,679,606,555,435,759,562,229,614,745,781,419,349,128,369,430,305,815,969,
850,240,701,797,165,485,059,773,105,753,921,680,558,411,916,674,631,572,345,
466,456,074,613,742,129,876,960,881,201,306,311,928,705,125,872,190,770,310,
122,618,060,807,224,468,595,359,520,508,318,823,753,760,775,585,478,746,028,
416,573,326,581,112,321,979,271,670,002,410,591,203,380,984,351,647,900,369,
679,723,792,288,815,211,224,120,668,028,365,902,282,646,375,118,085,158,172,
426,871,795,587,359,577,003,628,321,454,661,329,522,916,236,353,828,612,363,
310,979,060,153,635,349,491,195,551,309,254,375,370,395,363,275,482,613,974,
411,282,266,190,391,595,034,771,428,012,432,964,555,580,695,482,950,357,468,
169,876,421,401,547,174,374,086,105,152,619,191,413,333,662,648,648,395,234,
992,044,015,390,462,351,987,212,968,824,683,665,549,128,687,291,170,532,522,
565,492,695,095,008,747,498,757,699,972,637,501,007,029,009,701,519,867,479,
933,840,423,568,597,759,134,277,170,823,176,394,785,681,239,049,834,141,091,
968,758,818,433,233,149,609,476,987,362,667,139,147,141,125,225,434,525,045,
876,764,962,990,524,923,712,363,039,046,281,720,675,142,219,737,230,450,370,
910,531,107,188,994,957,380,601,839,762,249,972,406,363,702,892,387,797,971,
316,430,274,162,208,296,375,961,608,413,067,827,356,114,391,480,544,079,834,
770,928,609,876,525,003,105,210,385,373,534,934,089,098,886,292,140,658,771,
644,291,700,224,485,142,416,683,573,809,542,959,753,815,035,821,118,112,866,
996,216,535,680,696,844,900,504,734,480,957,383,177,258,668,478,255,929,519,
935,366,851,413,206,828,270,608,168,816,461,576,862,957,002,094,150,111,447,
690,623,960,303,556,943,949,875,144,299,506,514,865,584,687,136,819,530,514,
551,824,332,761,268,755,451,149,489,633,762,398,344,745,072,210,675,378,919,
923,259,046,629,122,017,542,178,093,329,960,691,724,865,977,166,361,761,091,
697,620,107,303,093,227,274,499,129,608,473,763,499,385,507,205,900,704,917,
524,105,445,576,602,992,598,501,774,215,719,443,815,249,410,432,505,234,982,
835,173,954,197,014,028,258,146,783,589,950,193,907,752,724,944,190,982,502,
375,391,625,088,786,462,525,926,044,007,613,892,805,323,878,647,214,008,307,
340,307,287,306,585,109,547,083,004,343,180,720,426,084,284,932,864,371,253,
075,508,998,320,012,883,210,552,717,543,079,982,361,994,867,845,501,861,578,
597,510,873,865,134,181,899,608,923,547,791,102,841,001,774,933,675,943,578,
149,181,406,402,223,368,560,413,041,565,399,155,869,204,722,335,468,809,924,
924,988,536,515,115,072,239,994,746,440,773,323,973,489,795,614,221,288,004,
830,574,703,682,384,125,018,760,771,055,563,328,595,458,678,711,918,038,198,
794,967,125,769,434,788,869,490,310,078,173,675,052,939,509,764,632,759,727,
725,840,331,266,749,490,996,246,380,289,358,608,424,594,714,755,277,332,921,
213,107,350,719,061,876,416,713,236,842,792,736,887,132,664,261,727,013,157,
790,284,809,354,568,485,358,070,229,320,958,565,567,674,108,711,916,506,927,
611,734,542,526,129,441,155,746,821,951,666,695,840,511,445,708,545,947,706,
007,280,232,257,679,072,648,851,929,528,220,459,141,281,677,038,287,631,670,
622,365,103,741,219,779,781,903,326,869,137,717,240,138,501,513,793,574,279,
394,369,624,214,155,869,424,812,786,859,264,636,772,189,386,782,686,352,555,
881,949,262,021,126,124,157,072,176,920,284,274,948,950,007,842,811,900,646,
191,760,540,401,750,719,542,131,345,606,455,671,407,436,245,926,764,235,235,
538,825,855,878,579,344,933,813,421,883,447,104,081,682,172,528,399,191,250,
345,400,227,894,342,860,215,865,977,672,872,099,027,231,155,428,262,643,935,
610,253,241,401,803,348,882,489,570,038,552,509,398,851,513,694,411,843,792,
866,192,865,951,167,146,451,689,391,675,724,371,508,070,221,010,837,118,926,
625,064,206,863,794,610,873,118,261,486,517,251,417,319,990,422,190,436,031,
492,256,054,999,965,282,089,462,235,519,566,110,688,196,621,250,402,072,692,
571,738,192,213,102,100,681,902,839,397,975,134,318,754,788,874,793,774,792,
535,237,704,280,701,890,702,378,017,358,673,482,144,670,019,217,033,009,105,
327,026,024,692,431,597,699,697,128,024,434,619,454,967,980,721,415,450,636,
326,842,401,714,196,262,789,521,149,961,818,346,513,936,390,288,821,551,930,
552,029,885,889,489,897,666,127,997,423,575,462,255,200,779,601,337,368,254,
993,251,319,084,784,732,093,414,648,363,561,883,737,711,564,380,286,455,207,
461,651,248,957,825,409,601,108,186,135,054,727,689,858,756,854,106,773,248,
618,093,276,898,252,618,865,825,552,133,520,634,480,353,245,748,321,481,010,
017,291,117,925,688,101,583,786,770,480,622,586,032,647,401,021,705,193,670,
465,858,639,486,834,658,296,993,249,819,993,554,569,887,344,143,518,946,308,
640,025,232,765,239,879,909,759,147,973,803,662,163,803,518,760,716,407,353,
182,029,701,936,029,373,847,726,752,011,670,339,411,147,773,682,467,895,337,
759,081,692,638,662,879,006,948,045,459,046,848,162,888,151,995,908,908,679,
644,917,817,913,602,955,607,358,113,698,843,561,938,614,926,956,492,712,774,
278,928,956,670,347,027,865,474,316,944,273,912,941,137,179,278,267,793,409,
716,108,970,259,116,374,977,496,325,428,589,546,393,970,785,796,322,756,375,
705,420,721,404,563,659,997,940,556,570,656,651,589,832,071,577,247,807,355,
543,512,537,322,830,493,743,887,270,006,927,781,340,554,575,519,006,859,798,
616,692,972,204,674,029,794,639,824,805,939,784,467,621,774,073,251,684,837,
741,498,605,853,469,534,660,617,982,986,679,155,958,252,328,061,318,441,241,
237,059,274,935,110,275,283,240,991,836,129,864,001,063,368,434,115,174,001,
066,182,394,731,786,063,311,362,845,462,547,808,852,238,832,957,576,572,927,
617,062,298,442,081,909,404,393,311,912,444,209,187,712,375,440,834,804,353,
293,999,060,946,454,428,380,596,579,873,796,046,695,036,467,091,946,056,006,
932,334,136,068,171,584,659,015,442,455,305,846,457,233,150,682,532,073,926,
255,926,580,929,956,900,755,322,339,043,119,079,787,825,940,824,426,571,429,
923,229,952,021,472,779,915,562,388,729,225,544,238,824,434,940,929,745,113,
931,407,365,667,235,157,065,485,200,077,095,015,854,723,071,497,443,448,321,
773,330,908,599,668,989,715,439,362,950,901,510,310,692,930,330,356,722,689,
904,282,325,134,082,914,562,718,905,529,901,133,916,417,959,958,566,057,866,
070,588,065,365,116,526,839,405,908,894,285,628,129,129,687,562,179,618,346,
663,997,804,318,808,317,204,500,644,011,215,938,963,627,284,148,486,130,709,
456,643,099,204,373,595,709,460,508,937,623,730,178,198,628,776,918,825,558,
938,584,414,067,731,761,316,296,001,718,668,294,175,584,258,917,261,651,227,
438,656,144,620,494,304,199,749,755,194,871,649,529,796,010,050,749,364,589,
197,359,306,888,387,145,929,754,668,703,422,606,276,815,810,156,807,688,476,
559,414,836,676,272,018,510,764,980,152,405,933,339,628,021,768,444,544,975,
053,436,211,539,760,730,430,844,524,940,695,276,472,025,117,318,343,053,272,
170,113,553,795,744,586,797,275,738,032,940,981,626,642,574,417,394,698,189,
988,736,087,000,778,412,685,017,858,313,589,371,227,663,665,290,464,222,785,
423,687,998,310,706,245,568,003,983,443,574,754,306,043,264,148,503,202,047,
826,766,175,434,314,667,516,225,292,650,855,918,751,123,355,123,831,812,255,
163,037,589,662,038,361,273,877,110,536,063,171,398,915,006,602,873,614,732,
775,950,140,205,582,862,429,695,719,503,010,890,962,050,684,385,080,549,289,
107,857,764,517,379,463,440,318,956,582,471,229,827,743,138,153,009,239,373,
392,165,974,115,172,302,250,728,905,370,740,560,836,138,769,004,705,898,272,
390,192,677,009,173,500,125,998,240,810,576,687,199,030,209,348,485,141,809,
692,306,083,972,554,041,796,043,381,214,996,160,867,271,398,720,918,908,162,
291,483,937,559,970,385,342,068,476,757,421,026,204,602,039,231,995,364,806,
216,007,629,736,499,455,576,593,023,900,968,211,672,064,372,254,816,543,450,
269,697,130,827,400,161,050,485,951,189,486,566,323,854,667,763,597,607,161,
629,499,735,573,121,711,588,073,328,259,235,139,541,244,401,917,597,784,387,
180,624,449,884,809,772,469,747,967,021,525,957,339,360,294,384,292,884,945,
532,115,816,004,136,579,454,132,638,027,839,177,080,539,803,339,969,949,029,
182,393,016,415,882,024,495,876,031,305,130,636,023,228,859,404,908,246,432,
256,609,878,546,301,209,087,695,953,095,529,604,307,308,800,125,874,936,081,
561,664,190,464,579,165,814,211,571,023,569,948,335,296,356,548,775,283,186,
563,334,049,408,796,192,208,384,712,299,110,025,280,623,562,566,426,470,349,
879,590,202,888,768,299,261,539,246,612,450,839,926,882,931,861,789,579,714,
522,845,642,776,238,902,471,562,300,627,080,607,316,635,879,782,293,272,298,
271,392,096,984,246,700,570,124,141,854,662,636,896,874,594,991,407,037,199,
608,212,161,976,884,655,776,167,082,702,046,206,687,335,870,479,849,343,286,
763,089,626,496,519,444,967,156,545,901,447,215,170,653,158,800,257,523,265,
586,437,657,059,849,505,632,636,062,503,906,470,175,728,404,947,607,867,358,
555,059,360,516,403,233,927,164,231,856,072,332,379,010,639,141,452,512,454,
581,344,008,967,628,452,153,745,790,719,952,177,326,587,714,183,510,352,380,
928,638,562,329,018,772,566,719,005,727,271,027,769,263,065,728,342,117,611,
628,713,923,701,742,000,464,158,300,831,274,514,067,303,059,026,754,881,506,
608,480,274,291,676,255,244,988,802,088,848,057,798,537,192,522,741,309,623,
685,760,624,792,895,357,075,711,302,350,591,745,004,554,226,251,103,923,341,
904,957,769,584,518,118,516,062,563,011,765,051,053,180,783,149,076,229,995,
252,122,020,407,735,088,416,665,381,694,601,599,839,596,454,675,892,992,079,
035,638,486,456,056,764,411,809,295,104,610,067,721,183,640,597,785,817,735,
285,194,589,201,200,174,241,960,639,351,644,497,756,998,059,969,064,176,056,
487,282,435,549,293,969,742,318,399,271,891,990,463,401,661,766,219,027,532,
605,039,574,847,869,161,821,220,368,076,707,143,899,487,283,940,192,504,819,
575,512,772,537,592,440,474,638,116,411,707,659,979,807,022,855,911,127,139,
874,135,747,182,716,973,252,900,145,779,255,898,118,049,091,079,002,026,071,
459,971,639,285,061,659,858,267,256,911,857,023,046,211,578,732,611,597,233,
581,547,270,683,153,530,197,826,980,693,017,747,117,706,780,127,481,414,425,
217,461,673,977,182,527,894,341,976,839,397,106,081,524,266,054,836,834,980,
255,716,147,284,115,480,564,642,303,957,779,340,337,713,447,108,096,495,073,
803,940,275,994,379,809,240,238,828,392,815,982,200,881,368,884,249,063,806,
823,213,080,663,303,791,754,871,374,870,685,764,511,276,063,278,730,670,292,
032,172,931,710,482,441,053,920,694,385,063,833,796,208,643,405,279,886,113,
655,249,116,632,698,604,399,156,586,749,533,183,634,548,422,088,306,592,144,
611,234,739,110,146,318,060,420,359,510,407,165,095,913,607,117,039,260,920,
747,907,477,957,284,671,391,064,098,651,689,561,782,239,637,137,783,396,950,
701,932,057,588,791,211,721,500,201,750,357,969,085,848,510,293,891,630,367,
668,635,646,018,474,055,754,783,199,381,043,909,268,110,162,938,840,304,636,
430,581,629,416,295,357,723,054,216,165,981,682,399,626,953,595,000,557,611,
441,749,748,413,692,488,222,792,682,696,243,712,537,919,490,287,022,000,820,
007,877,342,575,867,013,147,316,287,031,085,453,691,647,243,245,799,962,376,
059,819,518,978,302,772,594,447,216,184,690,112,291,407,329,653,970,140,116,
582,854,346,963,747,580,597,170,392,827,897,044,403,655,341,186,066,785,267,
209,881,970,790,953,313,530,849,443,844,440,425,249,926,579,046,076,607,968,
623,412,070,597,561,931,375,884,091,171,074,438,636,979,953,265,577,264,128,
064,351,117,383,661,043,861,963,261,335,989,557,381,953,543,781,317,618,890,
195,521,948,879,679,629,129,964,214,020,364,365,095,733,294,694,807,003,218,
210,898,303,184,741,556,402,567,440,907,232,145,559,850,955,445,084,036,665,
393,553,175,327,797,943,913,404,503,215,656,976,377,449,406,826,270,068,766,
239,257,696,013,798,742,715,568,053,359,564,695,548,978,228,623,528,468,429,
152,393,327,899,760,628,501,114,104,307,758,473,235,104,982,981,282,616,400,
499,594,294,028,337,378,674,724,784,010,671,576,216,766,629,309,568,121,404,
727,472,170,496,672,648,321,784,976,707,036,153,096,387,565,582,117,751,025,
164,406,440,299,415,835,222,473,750,838,172,793,688,804,515,063,962,290,580,
406,752,380,392,210,895,801,281,198,573,126,479,514,780,281,414,177,305,368,
591,740,364,548,275,319,784,373,457,558,814,841,184,220,408,136,690,403,300,
115,989,345,747,691,645,995,417,536,783,633,390,644,589,135,969,219,549,243,
400,122,177,619,870,627,427,688,713,163,145,997,207,800,659,669,142,988,373,
280,733,870,652,137,270,167,176,823,870,531,788,624,308,760,014,489,078,422,
813,427,523,629,282,924,578,854,916,766,201,749,196,003,764,056,843,408,662,
417,736,209,690,748,694,303,329,960,438,172,613,742,986,049,906,876,850,549,
485,690,847,977,772,608,832,996,479,924,884,890,742,598,943,556,661,056,657,
785,986,682,205,835,975,469,503,782,169,859,968,494,258,293,036,583,460,549,
798,456,578,577,591,394,639,172,496,377,956,994,037,979,096,661,048,199,299,
686,200,322,640,620,757,532,712,867,523,336,679,224,853,499,470,320,230,006,
780,664,739,789,173,417,204,206,077,499,236,891,552,324,316,691,550,864,230,
500,552,489,071,155,315,010,379,345,891,480,095,581,757,233,645,190,620,795,
117,545,718,206,079,294,617,656,143,111,668,251,031,294,070,535,040,038,052,
161,668,260,315,834,360,231,279,921,291,557,030,934,463,189,276,813,823,908,
645,354,923,817,393,694,884,722,132,157,061,939,443,165,318,195,448,285,716,
006,046,838,855,173,691,856,246,870,416,553,232,245,974,003,644,561,900,634,
184,750,919,701,314,675,846,470,682,842,331,289,281,688,292,698,901,086,537,
212,930,331,824,078,274,505,954,342,544,816,303,870,901,169,175,061,482,619,
422,415,979,350,663,672,829,925,312,843,831,356,321,938,451,523,457,731,278,
215,473,290,813,105,897,844,738,401,918,944,891,061,199,885,367,647,110,419,
360,623,678,328,381,487,206,536,159,649,286,175,570,752,316,591,186,601,345,
742,731,795,012,838,857,417,460,099,878,296,370,310,844,183,119,141,996,960,
608,620,317,816,025,504,463,156,197,345,765,670,251,532,678,856,977,224,475,
303,329,266,966,586,328,699,315,400,616,647,488,506,852,908,465,734,415,723,
475,845,531,298,311,737,497,460,918,300,718,865,911,138,308,887,341,502,012,
775,563,821,586,131,706,027,919,392,421,070,996,841,356,094,590,814,037,308,
129,534,918,581,901,313,488,373,757,593,442,729,130,689,505,752,121,345,342,
902,186,417,351,329,658,689,675,566,672,698,371,405,065,143,404,872,705,890,
479,352,216,717,968,692,338,609,837,462,749,916,124,044,835,305,126,786,102,
954,946,851,460,728,676,245,734,889,478,454,790,387,390,402,453,258,475,242,
579,612,203,820,491,646,851,093,424,717,396,916,282,658,894,421,707,332,729,
600,535,962,235,260,128,752,894,928,094,720,471,547,767,851,878,518,338,990,
938,831,581,260,350,966,721,024,454,092,693,052,166,401,108,788,504,226,157,
651,231,715,469,510,998,460,609,901,386,670,534,187,728,697,338,266,173,236,
078,955,368,122,235,625,569,753,123,844,867,960,719,761,798,899,780,824,224,
205,647,072,034,889,537,577,937,290,491,754,825,803,702,435,103,971,158,684,
003,780,818,370,500,927,684,205,344,377,106,998,428,602,645,367,385,283,815,
465,455,450,774,637,795,493,222,029,379,674,053,080,193,851,101,325,916,703,
692,277,961,241,741,208,329,106,638,780,879,643,653,853,000,254,912,253,829,
982,922,763,430,106,764,681,863,406,918,584,276,608,640,127,639,442,366,015,
537,842,703,828,612,650,426,050,720,334,521,766,982,654,201,665,097,648,203,
929,509,884,374,211,266,855,530,255,192,884,082,794,799,491,530,245,255,125,
753,278,066,935,202,879,887,335,950,663,786,163,726,171,447,950,168,509,577,
702,286,650,229,066,397,142,784,233,280,029,568,734,258,302,572,041,804,764,
453,327,796,765,324,439,349,323,363,453,863,753,053,584,669,902,380,896,428,
316,656,156,573,294,091,500,500,796,218,129,481,643,696,428,033,970,367,075,
139,985,078,507,480,214,612,008,705,396,103,649,371,523,922,922,609,799,380,
074,068,173,007,725,635,307,864,053,324,336,591,380,944,952,960,441,550,885,
931,301,808,828,548,984,076,750,214,365,869,166,531,480,967,070,836,723,540,
181,221,013,992,941,085,664,219,505,275,784,718,724,097,924,385,614,017,847,
009,872,535,482,613,178,984,474,366,641,928,062,002,031,771,164,574,696,025,
639,190,910,115,944,298,156,049,770,786,876,202,593,755,773,741,458,885,595,
483,229,840,862,717,309,733,157,805,679,458,548,737,737,596,780,325,682,200,
259,472,869,816,348,911,591,428,940,820,148,667,218,982,430,253,237,516,338,
905,507,603,763,239,240,213,117,032,407,034,613,394,033,825,131,451,156,776,
865,573,574,971,601,470,396,732,460,851,857,051,870,252,020,116,605,558,817,
889,319,474,828,117,287,656,567,515,026,409,788,548,100,057,560,913,419,737,
140,067,650,621,590,446,248,087,104,774,029,028,507,574,139,371,772,005,953,
216,804,066,149,897,030,770,368,349,941,994,580,124,506,117,353,019,623,219,
865,598,613,260,563,990,318,698,217,275,348,254,310,934,979,917,525,288,535,
704,122,915,427,578,082,138,189,992,023,045,640,802,984,374,054,115,467,424,
678,862,251,732,002,846,842,159,885,613,929,269,845,991,758,505,050,763,425,
877,866,902,991,087,166,786,302,207,234,830,846,085,640,994,022,459,587,465,
754,984,690,330,959,812,445,603,686,076,917,070,094,936,677,409,497,564,654,
623,853,955,430,020,576,264,321,939,118,921,895,864,779,400,668,807,854,148,
991,692,456,312,828,135,914,295,944,137,176,386,070,252,357,714,613,517,351,
828,686,725,544,837,824,781,971,922,987,750,871,343,862,094,226,999,096,793,
564,991,315,229,181,737,246,816,525,971,407,561,048,148,121,120,543,390,753,
141,407,287,963,542,837,663,903,265,812,450,979,847,479,545,611,091,803,674,
745,063,499,080,171,003,451,192,682,717,503,905,323,390,630,978,280,855,594,
766,749,800,392,754,138,199,335,664,679,468,204,910,100,767,302,613,037,580,
530,859,519,449,797,279,985,638,103,138,211,419,129,324,655,553,028,577,479,
925,864,521,687,797,437,153,083,638,741,407,829,176,034,644,604,092,818,342,
534,373,506,458,045,879,877,456,788,600,240,178,703,204,037,762,425,475,133,
841,285,936,215,310,935,261,725,967,770,192,460,340,292,803,558,485,721,174,
639,861,459,696,095,765,949,534,457,050,699,918,081,834,951,394,952,432,718,
132,022,202,507,764,619,029,004,097,206,429,020,083,457,453,122,578,703,698,
191,442,175,726,778,638,566,986,320,827,313,723,828,742,946,566,082,112,801,
223,298,713,264,764,218,087,209,685,053,589,345,959,367,063,134,293,200,902,
449,429,058,490,030,725,644,037,402,988,243,374,234,767,791,422,586,481,222,
563,424,296,227,181,955,960,984,822,893,955,882,064,595,654,447,326,150,385,
392,806,400,165,077,106,827,077,720,605,587,939,847,536,891,301,936,717,294,
031,241,217,296,302,922,678,617,160,069,389,573,138,955,860,186,983,660,108,
134,616,941,829,562,178,895,181,410,659,066,866,020,280,005,968,968,492,909,
678,981,247,684,411,831,209,026,368,213,016,308,678,815,705,069,356,714,093,
860,806,993,417,236,108,642,959,468,082,864,293,108,114,009,219,526,980,131,
106,075,849,207,226,774,007,172,448,679,501,224,625,875,147,934,406,792,954,
968,824,371,688,171,896,659,986,114,839,398,439,328,327,701,057,781,779,200,
445,973,234,608,780,489,468,667,647,166,706,714,919,770,077,005,123,377,505,
179,030,412,082,037,535,982,609,044,508,889,569,231,103,280,752,275,799,708,
371,537,837,529,802,953,347,887,834,886,077,610,918,122,595,014,821,661,188,
963,055,131,686,927,349,678,919,429,956,309,531,937,182,763,543,400,567,308,
347,939,843,659,663,222,387,874,083,014,909,371,846,621,119,350,095,549,109,
771,894,252,367,657,261,961,120,299,843,225,369,083,209,694,362,543,276,415,
789,477,480,564,581,096,373,340,497,451,774,720,272,486,664,283,038,728,753,
271,043,232,085,892,358,053,596,131,871,322,016,974,557,088,251,932,208,775,
691,848,410,262,836,450,109,593,100,697,569,875,760,698,326,237,641,787,882,
586,052,518,647,385,694,910,314,108,468,125,610,830,772,125,549,656,859,648,
161,269,110,066,549,662,063,693,820,125,567,498,146,324,071,303,483,361,283,
417,692,653,068,577,093,819,779,603,417,696,770,891,995,184,199,665,454,124,
598,265,156,049,946,726,266,435,900,547,045,648,497,348,972,496,554,025,877,
940,424,675,614,302,165,256,214,646,548,356,808,354,069,979,845,566,330,292,
207,064,927,140,109,421,509,037,139,368,466,510,157,141,550,136,190,922,172,
619,408,468,553,036,176,279,816,183,562,123,049,265,293,741,466,080,833,789,
334,544,955,807,423,287,793,711,015,608,549,449,845,869,130,760,470,138,385,
934,778,674,028,597,743,942,125,258,908,318,518,461,710,897,077,408,987,378,
988,643,409,013,399,681,656,212,867,652,621,557,242,018,515,237,053,784,108,
202,115,714,796,703,153,689,887,625,332,452,767,093,892,500,760,738,296,318,
639,651,034,739,514,723,278,098,796,592,384,616,867,191,141,100,259,833,763,
499,802,809,357,653,064,096,579,607,131,757,952,302,359,831,958,295,119,736,
103,220,653,527,297,501,952,372,963,832,657,396,829,155,815,492,038,481,644,
790,710,973,928,107,279,316,007,552,794,285,101,424,183,730,400,084,627,955,
454,551,148,984,295,509,857,273,294,661,332,023,883,241,061,697,980,886,395,
849,582,491,142,631,427,057,056,192,787,139,368,302,148,377,908,619,099,118,
173,385,232,101,705,292,658,128,212,759,629,570,984,352,265,250,802,374,208,
341,402,520,100,413,155,246,509,135,408,786,286,736,678,544,485,800,886,866,
830,309,743,883,116,024,849,372,471,012,468,360,277,582,644,447,552,754,108,
446,398,846,091,392,661,100,638,423,285,091,972,048,137,352,058,539,075,087,
805,233,715,111,866,307,776,336,951,564,963,337,579,949,846,808,969,593,376,
495,468,707,288,157,042,508,124,814,830,887,317,385,814,325,359,480,145,031,
615,720,497,576,461,743,021,107,087,296,332,765,888,586,666,802,846,279,655,
131,122,763,263,248,547,377,889,820,881,482,412,979,142,959,853,253,080,335,
502,664,324,791,349,881,029,307,515,566,515,320,555,475,352,508,685,886,391,
960,075,699,022,037,169,591,012,911,763,668,443,397,307,628,584,685,479,413,
893,760,451,043,486,634,519,537,266,420,843,940,696,753,151,285,216,793,936,
389,695,323,113,692,314,685,422,039,652,362,338,123,333,568,917,694,426,682,
091,583,301,923,855,665,752,279,123,849,277,829,700,686,030,026,104,404,913,
620,440,545,916,778,124,174,636,838,942,499,678,892,693,817,750,318,339,126,
861,500,862,614,455,807,842,576,279,555,302,188,180,850,637,477,141,620,739,
824,935,022,479,655,260,344,351,392,455,569,534,387,360,016,602,892,300,387,
280,735,355,454,403,107,209,295,684,374,026,923,800,446,333,189,117,962,311,
760,062,351,542,547,540,038,150,534,275,312,049,083,964,780,740,187,638,607,
926,855,606,378,536,965,392,133,468,635,816,065,566,735,896,024,528,687,337,
697,144,814,255,152,475,845,069,233,188,268,746,071,423,658,066,738,485,478,
796,806,888,404,006,893,969,559,834,692,817,079,449,915,112,348,934,299,419,
181,853,609,825,031,837,435,675,650,806,964,194,504,680,327,344,920,246,989,
130,894,507,722,240,880,943,621,655,141,937,229,843,672,040,855,973,865,002,
046,311,597,865,037,788,358,601,056,520,875,955,821,035,665,290,340,166,879,
091,942,601,261,762,995,501,634,286,934,792,071,810,085,823,661,358,718,831,
212,650,013,098,105,802,566,601,774,168,335,142,113,862,198,270,637,243,318,
229,301,269,342,661,834,135,686,204,089,784,041,886,694,363,272,860,005,396,
275,580,426,204,177,808,396,529,929,263,829,439,109,737,917,276,651,814,408,
270,706,794,140,766,518,502,208,862,801,508,243,667,039,883,089,632,391,556,
856,344,206,619,942,876,290,610,678,531,253,565,231,661,047,301,503,702,077,
165,150,218,292,291,634,960,659,104,290,082,204,191,994,176,160,096,495,686,
361,558,880,629,820,501,103,066,766,818,190,263,609,330,427,738,402,153,738,
332,316,672,199,282,737,094,836,973,181,148,416,298,507,474,380,955,423,783,
903,126,086,771,184,551,906,693,718,867,266,448,241,185,439,942,661,264,074,
271,049,707,094,269,580,955,101,430,976,583,474,594,012,077,617,343,101,975,
829,501,959,949,589,929,543,129,151,029,313,284,577,223,950,963,291,861,373,
499,798,001,653,873,633,954,430,731,297,668,412,537,180,927,859,811,828,520,
871,031,839,642,102,261,629,193,723,797,696,318,820,814,451,082,976,012,752,
287,509,789,345,344,213,896,449,631,994,013,713,458,165,742,186,863,431,853,
801,265,700,717,222,115,530,069,810,569,801,148,752,800,478,571,777,262,632,
272,075,345,969,266,277,909,949,237,406,629,405,252,752,064,737,360,117,730,
991,665,359,491,765,315,793,061,602,790,669,009,883,079,296,401,140,835,777,
206,537,134,731,571,151,138,781,466,361,509,288,155,003,609,115,213,771,358,
199,924,244,099,248,865,866,824,659,268,357,184,735,759,848,445,086,039,310,
611,227,684,800,600,412,668,704,070,994,213,812,827,904,139,879,368,599,981,
940,516,335,121,293,540,475,782,706,263,386,947,738,633,273,038,732,052,112,
333,877,489,409,470,431,800,661,241,276,070,924,336,934,071,423,299,339,035,
311,419,127,179,967,599,429,439,689,442,673,063,717,603,164,366,447,175,463,
523,961,228,310,718,450,604,530,525,040,266,476,258,521,811,385,399,260,307,
550,102,915,199,584,994,197,106,976,006,548,766,939,584,295,394,887,105,188,
255,139,011,730,818,188,991,246,127,285,805,911,713,454,445,688,871,898,496,
626,523,626,678,430,273,657,979,960,427,408,249,121,946,956,234,896,215,699,
083,267,392,342,295,625,893,084,296,757,554,756,514,247,003,585,030,555,077,
178,374,540,812,644,914,485,573,398,994,921,704,651,598,965,183,844,942,132,
955,450,821,800,345,112,719,916,571,685,145,001,731,911,402,497,229,371,705,
021,309,392,441,537,473,382,956,041,302,538,510,576,343,457,518,932,349,456,
783,738,069,060,703,419,985,956,952,792,936,003,343,003,870,437,237,348,052,
736,141,771,528,316,656,466,879,284,346,395,013,996,047,207,950,181,845,847,
238,243,921,064,793,969,638,015,677,660,264,881,749,457,695,666,528,728,304,
430,376,727,586,354,479,564,298,164,492,560,404,246,367,990,851,327,736,315,
502,611,526,459,367,454,625,212,985,513,852,982,575,727,448,319,033,512,578,
447,599,461,033,344,602,570,780,775,301,355,876,864,426,295,634,878,969,256,
554,792,106,341,881,576,986,104,022,785,359,767,712,477,807,859,181,000,628,
407,732,483,013,061,994,559,333,608,007,822,503,237,148,511,214,875,140,796,
502,987,515,735,747,339,625,185,101,486,426,229,001,670,782,135,905,062,236,
336,970,585,086,891,206,826,950,437,672,066,306,887,951,756,727,720,216,536,
669,285,335,292,225,466,003,872,202,848,037,542,951,911,268,194,969,044,329,
499,330,040,393,804,095,596,345,680,777,250,688,843,492,816,749,936,309,611,
435,166,650,122,565,902,217,750,935,587,943,481,859,267,569,720,899,344,539,
803,455,990,378,302,038,443,559,534,706,201,347,196,795,874,967,426,739,408,
902,688,778,592,809,097,870,895,523,789,103,938,100,415,719,361,977,688,559,
389,252,875,579,833,327,364,489,641,453,846,080,289,149,075,667,113,880,980,
297,752,712,898,096,765,737,614,887,798,936,532,387,887,489,701,260,872,647,
400,422,277,932,424,249,643,641,984,834,798,439,995,110,000,114,766,789,401,
744,105,210,274,522,594,937,520,047,872,226,810,817,117,064,167,469,116,224,
239,902,382,083,299,312,526,363,155,548,889,189,069,046,015,352,448,162,965,
534,159,562,924,107,574,447,298,065,909,185,149,695,853,647,436,031,865,568,
237,241,739,561,667,172,922,612,866,294,021,876,635,368,004,638,172,977,633,
410,151,403,134,557,999,208,850,893,339,190,222,212,093,187,170,828,448,165,
317,632,367,921,331,514,068,071,977,740,549,034,035,426,587,362,339,555,717,
246,133,628,990,472,918,361,070,888,848,924,194,333,267,248,927,698,256,739,
030,783,806,853,397,667,669,234,594,633,423,533,630,193,408,437,943,841,089,
228,622,183,009,329,504,073,742,148,318,924,128,999,271,265,826,009,943,730,
752,070,250,999,895,724,558,620,185,998,173,337,235,964,822,765,039,545,374,
648,214,130,024,676,310,863,327,877,974,831,881,799,246,384,920,829,927,620,
984,865,817,055,455,883,728,225,148,005,670,266,738,750,038,789,868,827,777,
430,928,765,990,231,904,824,110,063,947,125,043,344,408,190,357,028,757,753,
675,368,991,477,478,107,606,492,884,590,847,979,019,270,970,841,216,552,635,
632,682,215,493,763,084,766,304,665,103,254,556,091,129,390,817,611,978,169,
086,557,604,169,312,384,875,417,549,952,178,707,172,908,177,268,966,576,558,
600,449,810,373,768,887,433,696,742,092,064,088,854,746,756,781,435,994,577,
357,418,432,387,912,753,375,312,783,099,390,935,566,788,368,138,972,156,147,
259,589,004,012,549,569,429,491,097,579,459,470,286,306,560,008,521,948,837,
408,364,198,736,327,877,895,156,499,965,149,018,051,985,871,439,078,027,074,
018,000,390,007,880,070,836,932,289,994,779,027,010,738,150,007,313,390,909,
871,842,112,396,688,241,124,338,074,038,139,376,707,770,461,355,449,414,953,
816,505,059,841,447,244,160,041,821,649,823,138,826,612,537,293,198,565,822,
467,672,803,920,085,704,703,116,035,781,623,484,096,536,456,960,362,925,836,
668,488,437,802,633,098,281,582,563,880,365,217,905,685,586,228,712,076,262,
509,721,075,730,495,222,064,722,627,928,947,462,271,611,645,265,066,915,237,
836,083,702,392,988,170,419,881,280,934,907,817,334,000,386,642,138,099,608,
732,396,977,717,994,449,929,166,211,917,208,138,364,148,075,551,254,109,168,
800,589,623,884,115,307,386,443,563,775,536,037,248,774,006,254,338,814,556,
741,242,694,167,329,472,804,609,878,542,221,923,161,002,397,672,567,264,415,
159,686,974,152,015,729,268,876,351,383,152,449,899,948,084,913,131,675,512,
916,870,631,809,162,204,528,940,479,321,358,397,574,812,000,731,567,375,133,
429,062,056,268,710,833,215,705,732,587,171,135,374,074,169,631,962,813,264,
905,726,659,256,421,589,657,098,616,547,721,905,901,025,376,284,288,258,010,
744,081,852,123,723,040,493,335,417,167,415,789,535,354,368,968,431,452,961,
643,023,791,454,229,887,693,732,215,091,458,427,742,842,644,611,668,455,782,
990,365,166,609,956,970,884,274,564,482,905,041,958,587,715,336,254,027,987,
669,965,263,268,624,486,273,705,387,869,935,707,172,102,136,059,414,358,263,
147,889,079,068,952,346,720,633,815,785,679,607,643,775,763,563,696,504,938,
600,452,001,940,147,643,110,502,246,597,574,969,126,940,462,739,019,379,591,
425,278,772,375,684,292,751,396,523,178,199,059,171,716,645,972,483,714,209,
848,175,114,047,189,684,079,220,162,575,817,252,715,046,173,278,849,205,143,
998,157,416,395,795,645,064,110,617,071,158,625,350,502,450,422,958,174,602,
684,204,546,003,001,269,496,008,817,740,942,681,894,519,043,792,521,026,109,
117,346,799,655,216,185,516,703,849,528,997,468,214,927,546,747,703,838,394,
214,861,139,631,674,223,008,193,267,966,848,294,823,897,768,659,936,491,946,
259,167,884,266,886,452,520,373,000,222,254,924,828,023,491,238,706,481,382,
163,890,059,915,633,535,340,243,595,669,622,430,398,665,173,437,413,931,889,
528,510,619,375,744,394,859,531,972,849,080,330,023,166,951,528,152,892,975,
150,371,708,877,092,584,821,260,933,397,134,693,076,866,417,598,827,932,470,
134,295,153,418,489,289,192,840,740,431,088,457,141,476,366,195,786,440,892,
303,636,468,101,926,533,039,149,710,871,884,935,816,226,294,429,087,661,351,
966,431,655,335,426,302,241,415,171,537,514,223,326,289,085,797,768,959,837,
386,790,600,765,734,005,214,694,852,795,138,541,500,570,390,371,360,429,186,
353,531,415,809,500,611,645,936,931,674,415,531,881,324,385,121,197,761,553,
107,823,234,987,060,689,653,421,196,297,039,440,510,288,792,462,643,175,093,
439,230,380,002,872,965,918,570,814,148,267,840,887,752,883,252,837,825,601,
967,856,875,767,055,811,155,138,388,358,920,196,075,573,724,205,711,455,874,
932,709,939,537,325,201,820,932,742,924,565,190,183,802,406,443,329,756,795,
984,052,167,954,034,048,298,058,784,723,833,530,751,820,751,935,939,449,816,
800,900,285,006,790,762,348,633,556,207,218,637,344,682,972,664,953,058,249,
963,270,949,124,482,964,955,540,533,468,541,726,926,823,317,992,397,484,738,
666,752,152,020,302,540,908,432,947,281,478,369,106,199,366,790,613,796,871,
712,138,474,179,779,760,643,443,451,208,442,020,471,948,638,616,297,432,297,
176,545,420,172,661,115,201,788,051,939,719,179,591,774,670,283,778,850,042,
752,489,266,912,351,144,138,851,288,324,008,146,326,228,492,640,999,348,760,
122,160,209,654,441,234,645,710,221,412,868,372,976,293,607,524,476,230,721,
271,930,992,266,308,813,963,113,907,296,782,092,772,858,917,503,865,742,425,
539,387,273,384,863,743,390,857,168,932,916,935,072,898,231,931,154,405,220,
611,485,294,720,183,297,197,962,357,112,229,611,266,805,757,593,725,043,354,
313,952,388,881,761,911,680,188,361,895,478,365,097,593,310,582,122,321,824,
693,780,163,831,788,053,577,003,658,724,310,838,035,051,188,312,628,429,782,
944,807,449,787,485,643,542,032,913,503,821,765,871,045,487,644,710,545,608,
494,597,907,441,425,539,992,542,961,102,907,043,490,152,591,939,166,527,722,
872,786,970,384,118,347,209,342,601,213,353,394,282,021,626,864,542,068,995,
205,560,017,929,025,688,761,653,760,196,586,933,571,121,307,384,831,980,849,
799,457,514,198,223,790,502,127,505,106,563,158,986,854,437,664,241,592,313,
375,704,584,992,449,314,761,876,955,383,074,908,439,834,448,218,865,490,859,
002,331,820,138,838,435,242,717,846,247,473,682,137,797,168,546,246,910,935,
585,191,520,632,725,403,705,147,233,397,456,573,686,681,326,513,618,801,210,
474,414,368,267,651,168,513,684,719,803,927,371,066,610,975,699,222,776,500,
882,780,664,395,077,528,359,612,408,713,497,753,265,126,265,944,621,451,997,
245,372,585,392,682,919,086,385,741,129,953,581,954,952,778,673,369,165,110,
267,425,140,911,044,672,251,133,561,788,020,738,211,273,163,333,644,523,126,
929,881,991,786,300,200,951,094,033,234,257,051,782,027,219,965,611,433,475,
072,720,555,065,913,266,040,283,399,213,181,686,877,500,805,807,607,161,768,
430,489,581,342,828,678,010,543,583,964,356,966,754,495,332,989,674,829,328,
336,694,094,887,050,620,455,063,304,177,792,946,573,923,692,218,186,891,762,
347,618,369,423,274,610,795,254,656,692,220,646,474,515,765,438,550,923,937,
900,768,463,469,799,340,500,460,083,205,416,688,740,675,568,227,572,546,510,
074,882,954,454,452,021,111,077,662,361,181,335,734,208,700,082,224,660,935,
511,602,838,194,395,650,136,684,367,863,964,089,655,979,419,907,073,550,162,
701,585,426,956,832,460,610,580,806,912,659,798,402,203,644,093,992,029,476,
550,427,142,745,626,083,776,008,146,719,519,784,409,340,863,829,243,935,500,
082,048,418,789,306,848,176,485,303,978,297,206,809,600,357,958,208,118,612,
564,011,615,595,748,742,278,556,934,772,763,161,425,584,230,256,064,818,781,
099,592,144,584,664,031,932,714,603,122,374,978,704,486,402,950,265,909,712,
419,656,419,950,083,153,984,723,619,241,627,185,213,419,081,208,833,850,868,
295,990,514,287,631,477,934,577,772,130,482,759,860,324,885,342,766,646,310,
481,471,050,348,307,734,403,191,547,904,879,076,133,437,900,561,665,373,214,
929,036,827,806,003,529,009,387,522,916,076,358,169,767,006,925,036,207,821,
783,543,491,573,179,805,859,501,948,276,599,224,623,154,485,509,497,543,377,
639,152,512,000,598,467,553,039,200,896,190,821,016,596,038,688,600,706,966,
762,124,649,300,599,176,726,771,280,381,150,956,770,782,980,288,100,184,036,
469,331,382,324,680,769,580,728,738,080,198,006,717,975,869,939,774,180,576,
871,985,706,552,536,287,537,619,312,905,408,485,379,111,088,216,315,412,834,
277,029,527,019,550,940,642,568,787,022,710,062,684,863,221,100,869,321,877,
267,642,885,877,450,520,558,292,891,490,177,562,875,554,063,226,450,748,210,
973,232,060,873,079,290,473,019,444,462,507,593,118,168,817,539,672,304,089,
145,999,265,645,146,668,813,333,560,838,647,144,669,349,990,043,260,062,045,
767,180,618,723,787,320,080,476,950,253,163,166,330,707,752,596,591,587,284,
302,377,533,030,223,290,025,350,686,933,599,634,515,546,644,572,759,098,192,
264,860,282,627,643,445,497,047,822,993,707,872,747,356,262,662,390,071,867,
359,718,551,257,855,382,381,021,516,048,758,444,580,856,828,600,748,382,462,
556,034,444,471,193,727,980,424,242,068,602,246,544,552,685,604,232,850,538,
636,239,689,199,824,879,529,902,990,640,614,285,200,861,504,082,612,622,107,
964,931,089,493,681,804,400,476,385,532,878,990,083,996,715,379,397,690,850,
532,996,147,494,973,613,667,004,105,930,231,858,780,131,930,544,910,048,903,
995,600,418,870,565,569,439,053,601,900,762,941,064,688,310,046,327,959,610,
705,256,139,802,958,191,210,178,079,152,714,858,923,005,371,437,400,064,338,
023,726,761,692,274,681,310,164,210,266,627,145,555,087,167,190,971,953,294,
835,340,066,415,515,102,436,354,450,574,820,576,970,393,350,863,159,552,130,
601,083,684,951,287,630,750,616,393,611,468,151,226,383,556,779,448,923,230,
306,074,768,943,347,520,152,174,019,952,598,921,480,564,719,718,989,407,739,
876,257,195,853,877,321,234,027,575,478,522,331,688,316,157,233,652,013,115,
375,551,522,697,320,086,102,703,551,943,577,226,047,957,632,147,287,600,281,
042,992,702,422,412,694,022,896,461,959,109,419,335,960,084,327,045,926,381,
985,558,370,201,177,253,590,843,994,909,728,200,137,672,846,618,040,927,075,
157,672,141,818,379,662,467,333,345,244,238,964,651,962,674,434,681,399,949,
871,430,009,082,433,408,806,744,988,649,193,455,981,989,059,294,067,393,684,
264,987,118,935,611,687,475,875,224,278,460,979,696,223,612,250,485,021,158,
261,276,902,512,288,805,297,667,693,979,540,377,411,346,783,311,115,791,336,
444,884,624,839,564,805,479,672,167,897,626,612,875,599,268,960,529,880,574,
094,535,064,552,351,410,121,222,495,720,074,058,871,569,441,720,076,537,388,
385,305,823,379,933,639,245,026,175,904,436,850,190,521,101,874,776,405,354,
992,301,656,699,711,921,949,359,607,533,144,510,928,629,541,138,330,541,646,
208,044,114,160,327,529,802,080,601,492,383,041,324,355,151,482,508,169,476,
945,396,853,459,256,058,594,220,945,509,841,979,180,675,738,173,426,801,854,
636,070,488,035,693,452,205,669,538,915,039,167,120,200,890,576,632,283,172,
601,144,692,606,930,041,478,554,853,460,640,905,171,672,578,512,454,217,222,
934,790,541,608,755,608,236,698,747,825,783,768,622,511,305,265,946,816,032,
095,100,350,887,377,367,181,759,472,703,954,393,950,248,513,747,852,772,667,
904,164,551,279,763,129,576,392,141,702,511,773,136,478,408,136,405,059,597,
350,798,946,066,247,721,614,169,922,911,164,744,928,347,539,047,111,118,269,
418,487,086,471,095,524,295,902,795,751,834,558,310,100,054,882,959,783,395,
853,363,030,139,463,772,789,627,321,550,220,032,694,293,383,930,521,516,962,
820,595,548,407,611,796,407,547,532,801,957,620,810,482,365,000,583,884,849,
667,964,974,658,281,422,399,950,170,428,386,125,540,052,210,218,421,175,195,
952,547,514,029,069,830,281,570,511,165,030,341,146,722,762,244,380,556,243,
955,457,152,194,122,588,570,454,551,017,923,527,114,214,637,717,723,167,772,
750,617,283,479,422,737,282,472,241,292,975,412,456,040,111,482,512,544,230,
921,022,743,478,704,195,760,284,328,067,632,525,113,925,944,346,551,344,555,
793,117,522,641,847,812,224,008,182,297,248,570,632,055,369,309,481,028,275,
551,410,184,322,915,969,354,077,232,827,990,204,922,387,515,513,353,201,127,
365,467,324,368,662,317,235,580,924,314,932,604,366,705,636,100,448,788,037,
962,041,129,349,543,734,350,379,794,666,745,104,468,931,580,384,328,196,419,
842,921,467,674,099,920,411,603,113,676,251,603,885,917,743,533,343,862,187,
343,306,091,205,735,094,303,988,817,084,764,402,314,047,226,653,739,970,346,
020,589,733,160,803,833,884,929,716,616,239,529,005,545,538,005,751,086,367,
032,215,357,226,595,979,626,035,197,515,315,553,687,096,229,537,279,723,188,
433,019,393,326,979,941,618,374,465,530,620,900,264,631,770,201,301,554,537,
023,677,625,509,712,189,003,260,786,081,734,033,909,992,700,801,594,440,287,
931,384,437,968,531,971,331,719,885,027,438,208,133,899,025,408,818,648,605,
764,957,763,196,761,646,595,015,762,739,792,206,107,164,897,920,368,956,428,
393,415,821,419,670,604,753,907,681,861,255,964,475,128,159,451,526,040,465,
115,399,980,842,806,960,553,924,241,639,035,941,041,629,124,271,909,917,222,
347,542,928,866,554,526,752,304,442,298,809,711,096,522,176,135,819,720,083,
989,542,988,929,157,294,277,419,975,733,336,021,267,347,478,716,123,759,598,
838,745,285,833,560,385,028,967,606,181,771,327,775,026,626,372,659,576,319,
009,314,648,102,461,019,631,641,745,800,190,862,435,814,071,139,034,185,030,
318,345,610,007,596,621,267,334,379,898,639,431,837,553,438,337,671,104,338,
947,945,048,193,071,258,565,712,519,798,045,224,899,256,254,953,522,354,176,
031,953,789,073,648,861,290,466,904,503,519,082,903,319,895,242,748,451,475,
034,294,516,354,653,945,778,707,326,617,216,193,868,573,684,458,837,278,920,
196,293,271,199,365,541,760,041,138,761,468,620,035,615,789,398,137,372,567,
043,501,033,701,052,634,481,913,293,690,078,021,094,283,172,266,631,784,957,
911,992,619,944,477,798,613,336,016,990,853,842,030,391,748,272,005,689,253,
973,236,796,709,778,109,544,220,884,830,446,011,619,895,355,161,579,206,174,
243,347,735,537,660,943,793,298,618,048,205,542,798,255,331,104,623,602,092,
600,323,863,068,930,167,070,576,344,012,898,584,112,193,544,500,595,047,117,
848,625,452,916,667,709,246,792,013,951,357,852,159,425,078,404,062,978,534,
432,742,012,705,994,270,424,962,853,681,801,396,038,216,480,943,462,140,313,
232,126,727,690,254,745,181,399,527,587,789,567,027,278,876,202,085,002,226,
913,870,766,638,289,121,907,123,515,638,865,641,840,218,098,547,231,428,175,
352,069,422,289,300,374,440,343,989,746,325,816,353,535,193,107,798,754,535,
932,929,293,151,131,663,394,883,502,747,960,935,273,530,490,277,956,926,351,
807,521,127,160,990,222,890,562,813,274,985,325,629,350,286,071,055,270,975,
885,475,474,023,258,202,516,483,986,826,699,011,434,940,183,536,068,636,616,
576,217,145,523,945,219,044,468,520,618,864,124,902,692,163,868,705,655,198,
239,897,727,122,791,470,813,191,048,475,768,381,419,777,892,277,925,985,280,
791,889,512,311,984,612,103,383,186,578,967,656,459,749,762,999,299,058,493,
124,389,819,202,690,681,625,609,120,092,606,177,994,653,296,742,287,653,506,
645,225,271,251,067,587,694,621,323,611,122,132,407,965,451,407,371,974,873,
880,139,486,368,833,177,787,555,593,339,648,566,652,253,740,307,659,057,230,
257,387,326,424,100,434,122,894,099,851,940,502,305,530,412,319,953,739,430,
055,879,382,559,185,773,037,928,258,610,570,627,817,452,381,862,585,240,548,
917,692,914,442,264,687,538,619,407,291,423,973,778,273,042,154,937,824,272,
584,917,080,711,947,686,207,236,346,921,762,920,448,257,185,418,514,558,301,
072,498,403,490,562,142,266,894,324,849,065,168,260,745,061,068,126,180,234,
666,088,249,387,021,925,147,878,501,677,692,883,338,671,140,257,766,749,380,
327,761,593,268,628,389,259,190,682,507,326,381,363,974,783,448,631,408,762,
430,977,750,101,360,199,674,686,146,289,943,162,910,629,928,392,378,118,475,
810,405,253,672,696,877,687,769,287,989,011,260,889,565,470,714,534,574,404,
340,330,259,218,036,079,778,427,225,021,990,001,361,776,648,275,194,979,960,
290,516,577,840,848,905,092,002,007,713,101,109,487,644,083,936,788,515,424,
004,222,933,396,340,199,208,978,283,181,246,457,443,385,532,134,200,407,571,
093,335,038,865,439,053,270,184,698,329,629,104,224,207,701,126,753,918,008,
039,481,654,859,452,937,908,849,730,631,437,661,347,624,494,429,099,910,530,
496,971,587,032,246,392,877,982,251,601,341,998,677,786,118,227,654,641,213,
821,559,902,662,507,001,323,086,845,018,774,716,093,911,257,984,418,546,995,
800,687,777,767,208,263,190,651,272,551,553,799,496,635,548,476,154,147,732,
833,584,707,325,714,458,457,563,188,174,200,113,799,931,494,303,591,515,437,
979,054,806,233,018,291,418,773,071,928,921,369,137,715,999,057,957,995,677,
426,620,078,513,966,131,615,554,923,416,015,928,346,075,474,609,590,948,637,
693,272,920,458,785,453,228,430,771,426,466,926,265,397,246,945,495,736,571,
161,256,937,599,597,885,237,113,222,441,256,861,726,149,254,064,460,111,541,
084,450,871,813,056,357,613,684,422,666,207,313,696,906,801,807,445,745,861,
081,437,257,708,497,089,090,007,648,660,973,922,819,794,199,299,284,151,806,
575,715,694,681,457,171,013,190,726,299,148,567,868,467,436,424,230,742,328,
728,939,864,368,534,093,340,932,552,075,351,966,670,830,757,304,494,545,810,
001,199,678,571,405,187,687,823,318,632,830,119,508,818,032,097,607,613,710,
357,297,760,277,678,659,736,133,676,895,683,870,753,244,877,911,671,090,861,
395,807,064,541,232,532,840,021,146,166,599,845,536,322,807,313,502,172,618,
139,194,041,991,416,211,299,812,875,840,808,795,886,109,520,878,621,297,583,
770,575,617,841,872,943,941,107,704,752,015,368,474,762,675,464,627,959,590,
856,133,666,508,438,982,881,074,656,142,525,812,973,698,122,666,705,272,942,
743,607,832,754,201,104,956,655,851,933,555,953,879,319,780,894,069,500,358,
398,701,342,952,174,439,107,410,565,890,888,555,995,672,511,922,455,682,658,
070,801,001,796,032,891,834,171,679,886,989,531,335,716,172,133,430,637,969,
623,654,709,070,987,400,337,177,753,286,934,679,416,633,171,059,356,993,273,
005,069,162,763,436,913,468,265,287,513,835,328,496,543,018,152,152,364,163,
180,534,896,456,870,207,059,065,059,496,297,977,747,030,003,539,564,571,987,
603,381,848,179,743,469,893,226,640,123,701,790,841,296,266,432,409,036,843,
545,180,285,929,051,211,179,048,528,068,426,779,106,235,859,102,645,316,339,
562,418,945,117,027,427,784,109,651,168,873,033,368,485,871,684,697,373,653,
576,856,578,850,627,031,217,848,254,006,621,173,226,783,311,678,582,487,878,
067,507,169,124,799,082,242,403,180,920,709,601,499,003,712,905,432,995,363,
875,471,154,041,727,937,267,524,989,258,809,326,369,659,652,288,387,953,568,
264,500,977,442,044,520,157,980,524,506,930,814,102,471,623,313,884,885,786,
478,916,771,927,498,157,173,183,335,792,316,564,978,066,294,732,807,382,816,
644,905,545,264,553,920,770,235,588,892,679,522,011,538,644,822,041,989,831,
109,440,861,857,376,455,987,097,079,201,431,739,312,500,819,726,726,373,590,
601,052,695,973,872,395,838,804,147,684,901,572,281,790,535,395,243,426,234,
893,786,566,929,767,924,855,406,716,230,782,553,756,779,489,592,122,522,851,
045,428,659,133,085,012,298,981,388,397,510,287,716,675,058,482,307,685,431,
057,178,559,512,369,812,886,248,812,362,685,291,710,834,676,598,125,235,029,
295,159,505,030,631,052,791,792,019,622,307,429,467,430,130,382,438,405,789,
153,425,015,773,463,670,434,774,881,714,114,743,743,363,893,140,397,583,606,
199,360,955,627,019,478,343,666,286,364,611,081,707,056,952,075,920,266,595,
102,426,900,698,905,443,519,005,563,338,934,796,847,562,260,180,296,509,204,
493,590,179,217,964,203,573,296,381,757,713,048,522,900,681,240,311,150,320,
284,139,895,862,920,021,426,856,115,828,146,470,754,947,246,406,888,524,212,
061,770,036,927,095,402,729,472,955,679,040,339,880,766,000,829,297,885,178,
302,689,945,307,540,580,868,892,219,046,405,503,386,801,554,809,683,676,054,
639,676,172,452,944,458,369,990,437,758,427,076,160,879,837,880,911,880,829,
837,046,159,617,294,993,684,874,517,211,240,688,099,720,568,979,553,748,604,
892,118,638,725,318,936,494,370,638,359,938,351,250,550,400,862,175,708,719,
540,926,867,793,247,732,285,204,526,533,383,554,552,730,355,209,664,029,520,
757,722,708,760,036,803,946,046,404,298,456,714,764,887,141,128,013,969,241,
196,803,875,759,474,379,996,057,908,939,026,448,818,517,607,235,337,215,655,
885,654,382,684,813,996,406,414,433,086,656,162,513,930,816,129,695,979,548,
042,726,117,707,166,065,115,593,807,069,995,846,949,064,445,494,156,960,219,
726,043,085,157,633,307,310,862,722,856,447,151,732,249,919,944,967,075,071,
089,234,715,298,620,425,536,051,772,186,355,104,017,976,373,109,966,080,357,
532,408,890,359,327,025,024,965,799,254,965,661,856,889,890,425,934,467,999,
282,303,994,213,764,032,629,909,337,173,389,320,612,871,965,949,699,892,257,
551,613,419,244,220,364,495,637,039,709,379,859,834,198,220,553,019,365,296,
703,476,647,108,894,518,233,428,759,611,699,920,821,460,091,711,037,249,588,
616,625,218,660,764,679,273,012,391,111,962,335,780,199,655,437,640,584,217,
679,443,193,072,514,495,579,450,817,337,250,251,199,880,585,942,760,092,477,
388,250,140,701,895,123,898,304,083,903,774,536,739,519,325,950,553,620,153,
714,028,002,321,029,625,165,082,207,999,291,091,327,515,203,483,771,728,332,
412,408,409,086,105,151,084,285,503,154,147,397,163,250,865,411,754,749,734,
020,634,263,004,793,303,184,591,327,929,116,473,541,415,840,408,876,924,782,
528,658,230,573,813,464,488,767,375,535,299,108,515,875,118,326,404,048,218,
687,038,608,732,668,101,004,633,787,071,525,911,951,426,442,128,488,059,442,
256,756,734,653,945,245,193,342,543,500,237,521,074,681,693,926,238,702,223,
979,734,555,764,781,795,476,748,764,491,769,439,327,736,673,024,985,055,492,
071,562,897,065,323,427,863,917,893,645,589,211,971,907,738,051,361,565,384,
474,834,071,386,476,142,065,497,080,204,334,164,584,266,536,514,121,321,335,
590,995,214,842,197,519,929,874,142,570,026,024,787,699,940,300,560,498,255,
707,318,105,656,734,829,303,948,627,520,147,834,635,860,660,267,450,697,027,
336,852,667,407,648,078,681,484,887,212,762,769,618,546,061,594,228,669,034,
252,095,547,760,759,157,969,851,772,774,236,388,396,665,538,142,328,669,211,
323,317,773,840,970,082,016,344,722,440,857,120,195,446,633,313,034,365,110,
761,360,096,397,199,055,451,691,558,481,674,473,402,278,678,643,482,008,825,
661,062,349,014,176,818,128,380,751,229,630,743,178,063,998,420,320,120,658,
419,283,685,436,840,494,996,443,783,690,658,713,621,518,915,471,915,375,021,
189,931,961,937,178,188,231,533,459,296,590,525,444,726,158,610,255,483,118,
681,753,943,386,347,089,995,830,192,775,289,372,218,663,106,311,918,617,810,
678,266,103,808,781,720,841,718,007,519,052,368,949,064,258,932,799,244,130,
679,806,051,345,489,789,815,047,698,026,072,106,317,206,434,838,559,424,854,
256,965,975,219,661,553,839,118,844,427,855,226,791,107,428,073,983,713,823,
282,838,544,834,045,912,366,380,778,098,652,826,940,652,411,752,923,461,920,
233,518,405,042,802,080,106,008,730,492,793,647,034,633,874,781,986,467,577,
273,958,571,762,719,472,819,698,736,189,972,419,594,862,938,316,142,764,363,
093,169,686,179,710,380,114,746,341,065,304,527,525,233,824,210,618,412,267,
990,031,725,048,373,844,312,406,145,972,175,387,949,102,925,914,495,532,092,
819,130,363,838,472,214,759,110,385,818,086,785,709,276,371,096,094,629,052,
505,913,212,127,432,485,284,357,138,169,228,159,546,840,599,541,084,436,085,
322,299,568,325,915,328,612,479,394,520,247,110,069,659,301,874,448,429,854,
397,392,168,051,775,920,694,020,215,902,991,532,227,111,808,939,026,671,898,
573,644,622,986,634,633,095,995,447,732,744,863,323,165,187,473,113,204,237,
235,018,685,133,993,690,688,801,325,450,996,653,259,664,407,588,136,697,552,
905,679,193,680,325,934,599,838,939,213,022,073,609,830,672,951,352,638,424,
141,639,192,411,695,224,108,893,456,324,477,087,890,111,285,318,785,655,794,
613,277,819,221,869,421,773,288,684,219,018,123,826,221,174,581,680,596,821,
775,268,603,359,817,099,920,271,253,050,423,800,741,545,614,335,816,347,902,
292,857,045,648,809,304,375,916,106,914,310,763,476,799,225,506,409,305,012,
425,264,471,436,538,931,586,626,301,130,562,726,129,847,112,195,746,935,959,
558,585,858,868,758,721,635,816,643,717,975,857,581,238,878,118,397,118,028,
910,459,095,841,519,169,338,748,837,457,360,178,660,579,478,648,107,206,636,
532,861,554,815,057,735,625,375,466,430,308,872,814,010,503,412,400,118,905,
227,305,128,888,582,171,646,026,929,183,310,728,278,644,272,301,122,291,978,
494,154,559,635,588,096,901,306,063,022,584,732,884,105,875,455,739,662,719,
356,723,280,161,373,453,471,267,744,904,157,307,369,903,816,048,807,738,218,
589,027,333,733,124,040,265,448,818,026,254,852,508,639,403,334,465,875,694,
035,312,774,295,085,759,774,466,713,787,907,735,056,628,659,175,663,515,667,
591,452,098,439,295,301,000,867,626,498,835,404,481,717,078,023,254,749,265,
684,636,816,676,343,135,029,491,252,712,801,706,548,070,070,780,024,514,239,
903,207,201,678,339,178,247,821,912,715,546,048,041,439,856,166,379,474,813,
653,996,045,773,264,632,042,140,294,777,754,815,579,528,286,140,565,570,166,
488,700,622,850,877,521,760,645,695,790,692,298,338,248,547,195,421,964,688,
954,259,501,227,657,844,332,449,760,849,388,035,444,681,727,660,931,136,047,
602,910,919,039,834,273,252,915,010,165,681,922,703,139,970,551,843,146,297,
790,938,067,587,928,721,686,270,597,710,587,081,888,886,279,315,396,575,150,
019,939,851,128,533,326,288,857,789,050,161,476,471,264,549,049,320,778,821,
063,454,449,835,154,691,781,099,784,229,339,735,677,302,859,665,323,490,966,
089,403,171,505,230,464,897,897,871,555,948,127,588,468,744,215,711,858,614,
751,901,778,430,814,293,598,495,161,035,644,866,000,603,748,664,240,901,637,
332,037,467,420,647,217,671,136,899,890,611,790,570,697,453,576,157,386,141,
560,085,586,335,823,630,289,096,567,221,229,224,252,222,040,273,370,321,144,
104,357,498,502,141,994,881,038,992,661,233,423,980,852,599,213,549,143,357,
055,844,258,453,192,370,576,448,397,376,143,960,439,399,352,700,077,916,173,
790,260,407,128,986,340,719,649,446,052,160,926,181,739,009,360,248,647,431,
272,077,850,588,770,763,823,446,234,197,581,821,323,672,710,048,298,413,081,
609,958,503,515,444,196,746,872,251,642,066,964,508,387,384,616,792,237,838,
168,843,208,203,368,017,023,737,849,185,577,918,503,576,034,273,693,177,128,
355,780,580,937,012,381,918,411,455,332,436,609,287,368,336,797,720,103,676,
626,141,817,786,960,546,840,377,355,276,683,169,349,705,425,860,737,180,634,
323,329,915,873,680,782,975,538,023,623,796,641,353,850,030,593,230,322,183,
371,764,776,327,210,759,231,383,996,868,962,735,695,432,853,283,059,157,385,
281,054,410,017,865,801,388,111,197,748,640,645,065,211,426,573,674,050,167,
881,211,093,679,935,528,205,201,082,794,802,527,233,128,340,330,232,315,708,
723,070,726,616,749,289,798,500,269,344,306,104,836,627,874,073,877,292,617,
356,934,804,660,284,566,135,327,767,450,925,323,439,743,799,346,663,280,176,
667,904,848,401,591,463,740,314,807,768,282,352,359,795,533,131,843,010,504,
101,754,985,993,080,579,419,230,956,211,426,816,319,079,338,764,136,658,940,
676,388,844,455,455,027,114,455,761,975,098,043,054,588,229,075,729,547,666,
437,540,628,320,355,051,261,072,304,510,667,982,651,972,771,140,351,505,332,
170,636,207,493,594,197,731,794,969,882,720,321,084,834,552,956,792,645,963,
786,413,712,069,944,835,168,892,404,695,592,639,531,899,904,695,080,722,666,
433,735,608,402,134,805,312,189,373,170,756,415,785,859,807,566,866,742,819,
835,521,178,053,337,380,550,864,723,459,563,538,276,381,600,115,668,180,283,
906,233,440,253,801,001,160,958,933,216,463,636,813,885,765,929,709,224,781,
103,531,274,248,492,982,010,485,510,907,956,995,901,111,622,149,953,008,350,
113,970,281,187,721,261,696,430,598,559,526,584,803,959,963,612,501,899,733,
110,899,256,757,408,456,639,661,924,894,527,804,035,210,544,192,026,807,188,
361,865,131,853,393,894,063,873,982,155,653,937,788,664,298,386,737,290,226,
027,032,442,834,539,415,703,596,886,047,141,688,159,093,916,865,881,719,967,
478,292,783,684,582,109,170,125,099,198,550,966,203,082,037,856,333,794,138,
452,662,344,952,275,216,597,697,557,422,240,222,827,878,811,963,422,451,939,
986,643,515,447,238,314,371,073,447,441,504,734,215,603,489,012,012,354,597,
083,085,347,486,654,016,293,106,124,091,621,208,273,211,826,096,679,704,393,
960,015,632,565,892,420,196,688,940,540,852,323,131,910,248,226,559,500,448,
586,370,552,428,632,042,730,460,117,034,836,998,200,494,215,267,689,669,614,
283,402,076,410,639,835,071,200,185,564,702,079,674,659,462,207,683,431,531,
608,404,748,974,343,550,061,772,664,464,130,145,533,930,745,480,442,564,357,
119,717,334,772,473,387,423,305,356,013,618,484,371,635,090,864,368,614,746,
770,393,675,751,133,520,549,665,346,815,600,129,771,636,567,113,041,350,398,
406,754,092,011,380,060,115,655,194,213,852,084,726,650,995,173,411,096,555,
820,698,800,386,604,856,344,850,706,075,559,542,839,043,985,327,152,883,916,
068,306,719,538,835,546,034,983,965,178,249,964,030,213,164,419,758,856,363,
942,982,836,505,878,227,434,097,225,719,795,793,488,398,664,493,229,546,565,
523,909,798,191,649,062,797,517,320,225,757,021,192,375,006,531,106,393,333,
724,869,993,901,523,309,493,533,462,196,706,525,911,721,235,921,777,125,364,
764,140,276,121,364,900,451,258,024,613,534,391,875,623,819,257,867,298,261,
561,829,497,816,920,522,777,405,066,248,200,330,419,797,633,336,700,357,320,
375,018,233,531,690,780,405,984,492,779,537,443,795,267,262,831,348,429,869,
006,115,298,572,306,150,784,142,915,522,679,335,277,577,227,240,189,246,557,
522,496,140,143,539,278,283,405,592,717,935,552,366,254,739,372,192,090,228,
883,235,482,532,942,428,525,753,524,826,753,448,162,748,105,912,866,569,422,
379,343,984,375,675,777,037,097,889,775,568,842,552,907,239,255,445,607,819,
257,613,774,425,162,513,244,240,849,575,947,842,228,169,931,268,161,829,342,
982,318,603,295,539,944,895,047,049,452,993,397,965,921,012,199,887,239,485,
191,744,124,167,027,867,742,715,699,758,875,786,211,297,782,255,791,149,492,
905,891,745,289,749,075,509,932,707,744,624,101,665,964,216,706,619,048,462,
177,113,267,868,717,290,411,305,998,270,112,124,745,242,551,344,518,334,430,
855,151,694,729,467,114,316,413,185,026,196,379,891,768,576,779,835,456,073,
029,302,837,830,192,392,087,909,149,688,701,649,531,471,645,365,782,538,118,
826,719,694,262,212,793,415,064,364,124,263,062,606,119,743,093,889,746,358,
609,855,101,226,125,274,836,225,463,961,116,064,268,134,131,786,641,913,305,
100,058,292,137,142,919,295,259,153,575,989,180,699,533,234,821,903,573,059,
208,673,610,980,779,729,217,744,616,057,253,901,428,638,704,351,226,342,079,
995,623,281,571,289,488,694,488,718,940,590,358,929,399,231,118,283,255,518,
374,425,483,622,416,334,540,989,759,470,409,091,781,067,881,675,864,297,139,
075,669,514,453,437,719,105,794,744,931,076,559,734,054,959,919,636,171,383,
304,210,096,103,515,480,352,128,497,376,023,878,246,523,891,484,892,058,219,
041,963,574,428,921,085,522,023,098,971,325,680,715,976,437,772,704,553,730,
394,830,038,664,119,428,900,454,850,676,511,083,263,471,341,932,736,353,468,
455,564,619,710,883,164,744,642,392,960,122,512,868,551,229,469,598,245,352,
274,149,539,370,433,692,829,918,222,185,160,983,159,486,775,114,445,049,116,
349,270,052,433,388,839,934,390,506,499,270,511,304,055,613,328,023,705,126,
395,062,006,189,447,774,265,369,395,169,235,762,219,761,450,068,470,932,571,
345,086,935,169,938,742,155,556,379,965,310,147,638,465,535,862,574,101,576,
950,522,271,377,133,362,889,299,566,414,000,764,603,029,107,941,309,975,429,
048,007,849,678,049,252,973,381,361,414,358,275,431,462,082,144,527,055,522,
699,667,718,622,150,252,154,913,035,213,301,095,837,150,630,955,473,813,278,
654,801,369,236,487,973,646,292,203,792,677,496,293,529,667,027,398,367,666,
143,422,573,332,036,521,589,252,956,724,903,158,858,080,537,055,793,663,341,
966,733,178,407,498,701,265,744,759,375,213,511,992,353,429,365,814,699,175,
471,558,348,756,359,649,850,859,046,245,549,979,187,066,226,432,765,526,671,
831,175,980,253,573,165,159,909,135,559,763,230,291,617,497,318,993,240,583,
424,693,666,404,900,510,812,766,803,618,028,636,572,445,082,521,389,329,524,
652,033,193,145,505,430,152,511,887,976,698,314,009,438,141,718,394,007,245,
669,551,332,840,072,735,745,899,376,810,228,459,343,581,695,944,671,182,151,
328,304,295,424,232,683,831,811,550,396,867,003,441,714,803,057,603,791,256,
565,056,295,099,396,318,887,358,369,895,661,818,736,610,144,385,151,639,298,
033,683,592,611,157,224,233,148,314,732,391,503,826,647,650,792,876,295,729,
775,420,472,432,212,361,920,592,899,995,143,233,804,664,789,050,766,120,085,
448,301,499,806,456,934,306,880,877,368,984,073,231,111,696,297,832,138,436,
182,448,963,888,891,552,702,526,654,752,779,392,396,062,636,293,793,312,257,
920,256,157,619,346,584,605,400,776,039,289,058,989,788,037,905,207,196,261,
836,546,137,288,316,761,677,841,599,829,185,075,118,353,531,440,270,314,160,
267,442,214,751,233,832,464,294,089,526,488,439,761,149,465,907,496,283,278,
385,641,815,055,390,363,893,142,041,927,227,810,830,170,544,637,181,864,417,
994,333,488,903,241,657,710,303,161,934,293,657,714,805,936,364,193,487,416,
779,889,553,105,052,687,546,151,332,036,630,421,663,625,316,450,981,416,368,
357,468,356,935,765,897,188,832,107,988,216,011,079,102,051,101,594,772,663,
580,475,782,598,304,053,768,949,292,422,970,055,117,364,909,922,045,024,454,
400,177,323,029,019,536,866,877,247,751,841,412,112,680,669,958,678,872,732,
043,604,556,488,706,328,383,303,833,680,069,427,674,954,407,351,156,106,582,
860,049,643,239,479,898,113,632,283,033,708,337,352,704,209,475,762,873,272,
309,950,174,580,066,841,134,416,539,614,501,175,179,021,596,350,285,039,843,
164,954,263,248,337,666,033,294,544,174,637,426,481,361,516,319,407,931,721,
871,541,705,686,893,784,028,369,746,191,930,590,673,930,298,071,016,354,591,
215,307,267,814,725,913,850,215,450,202,161,206,916,058,665,592,490,828,155,
365,965,500,295,653,249,789,699,231,076,469,004,631,496,835,994,956,851,795,
043,123,998,106,497,826,840,705,624,278,813,159,125,042,057,670,024,474,103,
738,022,840,473,485,585,092,833,469,809,411,529,964,783,940,030,441,372,554,
161,852,552,625,626,599,397,646,915,329,096,110,529,633,263,495,528,925,091,
424,362,205,198,402,260,572,386,676,678,135,971,789,893,531,394,649,151,090,
722,779,176,368,209,772,650,757,050,435,610,265,187,863,436,189,843,266,240,
977,637,508,007,884,943,652,502,909,849,243,454,848,705,871,089,336,089,091,
724,775,826,157,696,960,964,251,806,838,871,293,431,175,065,376,392,457,405,
344,767,356,753,732,384,000,673,692,575,990,171,778,950,374,281,030,000,409,
130,237,294,248,607,434,498,330,526,901,846,921,569,685,687,438,270,764,118,
220,697,282,999,711,385,840,824,858,302,937,498,944,772,464,584,754,166,567,
172,236,606,277,891,487,076,577,719,632,618,479,579,300,666,540,473,759,171,
572,219,019,262,994,705,504,413,285,707,448,117,370,396,240,594,936,754,890,
009,305,063,935,304,322,565,360,860,087,402,213,096,827,405,940,371,026,603,
833,426,686,538,543,553,334,157,122,407,117,270,731,898,140,524,620,229,787,
713,512,428,896,661,142,609,227,365,054,736,465,948,886,149,683,512,877,700,
892,812,818,508,481,170,933,784,398,061,853,552,865,671,130,252,548,833,899,
601,654,603,716,156,543,672,024,148,174,536,724,719,966,149,277,791,453,972,
292,097,830,947,815,538,556,225,474,298,859,423,874,626,465,845,914,535,022,
428,917,926,108,735,420,419,503,565,372,695,239,517,491,631,528,337,586,518,
266,306,524,804,406,045,038,240,416,960,786,241,534,394,565,137,183,598,770,
583,961,190,119,832,266,949,560,413,874,317,764,192,833,988,185,684,349,388,
127,603,942,499,359,339,174,807,741,878,334,789,288,835,773,713,510,889,837,
804,836,859,921,053,292,230,338,543,042,657,348,366,628,039,624,630,352,039,
451,902,282,901,998,142,978,966,287,910,635,858,327,318,643,003,239,834,729,
634,269,174,441,112,377,527,161,836,398,435,549,142,384,686,081,053,914,024,
438,939,302,288,230,903,154,810,306,889,433,217,169,105,662,296,390,895,127,
233,480,887,706,496,676,172,950,352,448,411,437,931,187,181,174,552,516,924,
139,575,907,533,586,975,468,127,760,989,733,512,495,005,758,294,418,094,589,
251,514,037,598,535,853,351,741,909,777,312,804,941,952,798,307,148,538,563,
690,059,209,986,375,515,652,612,256,795,799,540,751,505,132,640,887,085,694,
831,010,658,264,584,875,989,135,677,518,524,206,085,054,605,317,003,575,253,
480,200,309,756,978,384,699,205,848,054,527,613,151,769,742,210,451,367,744,
114,898,068,799,559,287,731,683,444,487,804,770,920,624,473,061,756,575,697,
394,392,181,275,744,647,407,284,080,100,521,299,158,602,728,747,386,383,326,
115,529,348,837,106,682,807,029,528,633,810,833,813,737,744,276,344,948,311,
484,166,798,109,066,775,264,672,701,467,343,322,715,706,070,149,314,057,725,
946,894,430,189,039,683,845,634,943,456,494,838,588,094,435,947,696,952,951,
032,919,161,985,113,304,117,333,352,689,620,566,584,617,740,708,781,122,835,
960,523,176,680,436,196,633,656,144,809,038,992,287,539,432,822,443,042,377,
049,190,173,341,010,181,772,440,593,943,481,788,680,646,038,136,761,667,196,
585,944,489,692,087,542,191,307,246,627,895,820,660,674,781,411,451,571,154,
428,053,291,355,554,483,295,544,768,789,636,947,923,724,445,276,790,544,800,
703,621,821,992,736,300,959,428,084,170,319,742,066,150,075,097,637,518,254,
309,664,038,541,975,186,753,193,607,941,963,802,622,020,057,427,250,499,841,
940,624,547,121,340,833,633,976,361,053,141,402,133,162,626,851,666,328,670,
457,618,993,199,181,702,431,566,026,750,152,730,164,855,692,698,130,745,174,
138,990,563,144,393,584,630,676,043,038,262,077,461,793,874,177,707,547,857,
338,651,505,054,983,491,294,957,505,405,684,281,696,148,496,388,692,584,818,
107,774,914,570,546,477,987,999,566,648,965,159,230,558,506,837,617,411,120,
823,772,358,348,892,291,290,908,203,145,643,854,021,973,313,315,493,001,263,
576,379,490,850,710,947,512,708,823,595,644,784,833,325,424,602,114,702,760,
998,448,433,223,161,325,863,665,008,306,008,835,017,573,960,624,553,997,373,
036,754,465,107,506,936,952,913,835,325,572,648,961,335,974,705,239,136,040,
883,989,512,510,887,651,043,173,697,475,109,834,412,312,364,891,316,397,228,
696,612,926,533,673,974,945,263,208,193,350,090,437,872,503,897,661,314,560,
954,598,830,290,737,456,763,788,063,426,957,556,329,566,043,840,841,511,612,
286,206,464,783,224,810,610,193,842,969,822,246,304,963,403,418,012,367,563,
865,180,306,867,034,456,443,647,210,847,862,833,844,072,624,685,962,881,559,
190,219,241,166,863,616,020,052,645,411,920,378,444,631,373,717,360,502,505,
957,173,868,859,590,682,365,055,314,337,592,954,343,757,309,855,807,399,952,
160,742,484,867,878,715,066,613,296,000,699,286,468,827,484,887,915,585,838,
928,432,629,613,698,616,682,638,811,794,378,454,658,155,674,197,741,294,624,
339,149,939,136,294,802,848,072,090,481,643,329,683,889,634,564,514,133,861,
629,636,694,087,732,012,035,222,497,159,402,769,675,305,738,008,122,842,106,
953,157,626,915,881,905,462,585,165,804,886,509,296,517,997,500,541,344,461,
347,733,019,127,852,996,321,855,561,113,469,863,315,684,584,331,407,789,411,
301,438,707,165,556,346,818,812,245,575,351,064,207,895,181,422,323,473,223,
946,778,790,922,589,372,830,692,003,976,732,362,881,564,141,769,897,219,771,
918,802,375,207,604,290,130,882,236,399,050,942,862,368,035,129,173,292,544,
636,910,084,995,803,625,758,937,032,995,260,818,635,724,017,131,270,338,926,
157,942,978,738,296,108,179,371,652,882,377,880,250,501,780,219,482,017,147,
059,403,471,785,750,612,066,363,303,779,592,181,586,055,406,133,939,896,929,
660,158,413,543,324,461,042,149,012,875,209,426,951,336,357,800,849,060,043,
963,179,926,430,282,902,861,461,396,606,193,857,360,959,002,339,213,920,254,
172,065,410,284,146,182,671,906,157,696,261,445,494,832,339,734,916,780,244,
418,167,244,674,589,177,218,849,589,499,652,852,369,711,528,595,236,423,739,
626,586,824,665,662,753,507,134,575,497,626,467,155,997,209,843,557,367,884,
441,518,565,888,449,648,543,349,725,570,798,991,289,020,613,764,216,056,401,
799,722,162,059,723,174,591,319,549,577,579,190,467,183,334,677,649,715,535,
458,989,822,604,778,840,045,208,590,265,501,425,846,395,192,030,966,178,511,
688,981,483,981,291,006,360,974,743,413,098,848,767,167,307,576,684,661,756,
580,155,098,569,138,849,801,515,652,109,276,509,573,255,946,386,000,567,760,
840,274,501,641,209,529,340,446,942,304,889,387,072,302,161,023,855,647,190,
275,571,281,403,188,389,430,360,133,129,914,290,539,824,374,091,053,783,045,
440,873,575,155,912,445,242,168,616,208,114,345,316,372,671,606,764,928,581,
405,408,502,174,875,824,299,335,707,871,415,105,790,559,520,916,574,105,454,
186,864,568,428,412,960,138,092,095,812,821,770,304,303,233,279,966,244,391,
127,887,283,767,014,897,140,442,337,220,987,252,877,911,825,568,066,678,525,
639,541,160,212,911,004,183,806,228,662,752,812,591,107,889,613,390,190,231,
274,374,930,461,087,697,623,797,527,697,881,608,917,650,178,389,198,385,702,
863,934,966,685,546,457,961,161,883,804,200,749,857,376,581,630,477,293,736,
446,400,467,658,010,916,690,977,769,618,435,385,563,116,860,478,377,692,866,
419,016,307,943,382,208,867,207,023,572,491,179,041,157,790,466,114,076,155,
460,960,210,292,492,599,110,215,001,070,359,363,272,847,079,151,882,577,443,
583,719,283,975,997,459,751,655,645,202,334,950,891,842,443,778,881,260,638,
055,599,971,731,688,520,353,844,065,738,787,861,068,741,762,238,915,599,409,
436,491,164,107,068,997,925,274,143,429,091,604,682,437,611,475,030,921,444,
780,579,009,463,300,485,869,902,419,909,340,170,659,423,593,907,129,750,759,
703,731,279,406,989,942,179,219,203,490,740,728,853,992,661,188,832,183,787,
162,536,866,308,782,831,019,631,043,008,017,027,066,707,022,049,439,460,400,
858,268,921,169,879,345,136,127,553,518,652,549,550,720,086,763,879,131,068,
846,874,000,448,847,402,755,620,630,402,029,701,448,752,744,375,832,996,115,
292,925,822,636,875,789,799,302,679,642,104,086,311,336,005,143,867,902,463,
756,485,621,175,712,210,303,449,147,572,196,027,105,024,003,000,357,472,216,
764,495,529,615,270,923,083,482,955,451,479,848,970,585,315,025,467,539,592,
534,647,571,239,467,422,626,368,223,107,141,421,564,738,899,554,507,160,461,
772,461,653,597,708,808,413,402,956,688,880,853,295,044,145,521,284,530,747,
063,697,688,844,833,826,740,280,099,198,699,419,520,716,412,567,496,321,384,
769,486,928,761,463,164,241,710,660,589,427,532,921,936,259,220,077,692,610,
221,932,771,975,474,111,616,529,527,513,765,414,271,585,459,865,789,410,598,
560,913,200,121,588,979,202,219,527,391,225,443,636,042,630,267,344,926,090,
948,614,521,893,526,337,311,895,798,694,236,494,917,517,311,094,657,765,035,
406,085,911,991,397,109,920,413,730,404,567,056,993,037,664,670,487,526,242,
915,702,928,293,923,341,953,450,800,394,730,326,984,928,493,650,638,589,238,
329,736,330,326,998,085,905,355,396,520,877,657,424,735,475,614,428,355,905,
178,337,784,440,140,701,121,605,064,996,339,858,537,549,194,155,184,528,402,
031,175,148,770,628,225,473,745,483,506,274,321,064,584,334,040,041,721,414,
526,332,024,178,222,216,221,538,637,980,350,096,837,417,767,837,691,236,114,
779,491,117,294,078,471,476,143,107,294,823,045,833,882,546,385,706,376,686,
525,637,200,951,182,158,218,379,473,894,492,699,885,572,505,560,080,088,619,
380,069,411,118,007,754,851,259,322,168,486,253,955,148,063,918,285,630,960,
725,996,597,283,047,027,125,688,876,640,991,636,715,356,854,297,131,640,457,
308,854,033,662,204,489,255,823,264,984,836,012,947,557,950,677,825,858,286,
118,565,760,335,136,689,771,830,129,495,009,990,821,180,905,336,381,886,637,
773,647,594,927,347,008,252,999,506,797,705,434,870,700,882,105,447,674,655,
634,220,370,235,286,148,620,551,873,863,511,981,518,063,501,984,138,343,139,
610,847,950,716,210,954,276,020,162,617,882,876,463,053,161,290,701,826,777,
993,223,564,832,971,416,035,994,851,116,805,230,954,992,452,499,849,439,587,
522,072,699,998,453,205,780,947,449,007,035,361,049,578,777,680,792,117,532,
557,722,178,321,169,117,074,503,542,430,327,058,209,508,561,650,851,086,502,
269,450,483,318,186,184,712,757,058,130,454,867,173,791,405,473,243,783,757,
538,700,301,373,848,764,504,796,649,418,085,286,414,550,616,427,563,503,134,
440,569,681,506,895,653,568,436,582,570,201,084,440,999,882,142,717,389,135,
148,933,247,823,380,571,792,792,170,184,522,569,772,570,025,884,180,472,437,
283,242,273,864,024,144,967,609,158,210,894,518,678,409,188,795,448,988,539,
952,057,721,442,617,133,029,786,023,064,826,611,260,072,501,648,395,819,573,
676,827,454,419,061,023,971,984,773,583,182,327,591,114,335,897,124,980,060,
789,262,447,372,741,956,345,463,966,769,798,786,037,301,062,844,942,734,106,
009,425,562,483,186,822,715,207,055,160,743,759,359,374,638,810,169,592,199,
243,762,713,069,805,824,894,065,234,133,908,164,354,040,073,553,230,730,226,
223,431,034,250,376,524,645,655,749,421,842,937,504,328,967,583,329,102,742,
245,339,472,211,813,016,987,387,235,208,820,037,365,425,403,500,897,950,542,
820,461,271,173,894,455,611,519,093,208,295,587,991,808,571,740,330,203,988,
764,515,601,752,032,278,138,221,719,913,751,266,526,973,340,278,098,816,423,
122,317,294,141,321,339,977,640,662,516,821,303,410,788,353,906,684,124,161,
606,009,455,491,247,966,530,158,616,821,468,689,236,611,924,856,960,639,545,
424,625,994,366,479,215,208,693,036,309,017,706,514,884,056,268,572,592,477,
405,311,010,527,045,018,971,964,915,687,309,373,687,478,701,557,373,091,963,
696,370,455,484,121,758,863,911,238,781,882,846,226,682,194,975,024,253,963,
819,822,756,828,131,262,288,314,505,754,173,579,197,923,769,391,149,762,908,
047,819,783,046,832,400,516,613,220,080,656,032,381,762,543,408,351,092,851,
959,594,671,901,074,251,073,884,235,894,514,871,491,735,409,080,985,849,883,
786,166,819,178,428,168,377,236,729,028,208,996,951,465,502,023,359,468,368,
197,386,309,909,477,779,611,712,697,266,270,489,163,660,871,527,152,299,479,
276,749,618,123,362,011,804,983,372,658,970,369,777,753,240,497,394,666,997,
553,373,397,019,369,470,532,701,581,014,484,493,112,343,510,314,069,313,755,
915,960,110,974,852,210,121,643,705,833,022,584,273,787,856,767,678,210,599,
463,428,987,830,693,881,546,409,026,712,688,760,062,180,402,129,612,107,605,
355,415,783,269,210,746,702,024,268,094,998,015,381,830,647,241,021,739,973,
879,999,984,432,246,858,694,229,333,115,787,464,289,614,342,608,159,583,198,
203,980,552,040,916,374,105,920,580,141,931,174,811,614,648,889,238,660,695,
529,892,152,500,680,753,961,736,170,096,161,609,747,885,309,791,652,742,279,
618,241,694,735,895,406,572,434,336,046,594,255,354,883,374,402,524,995,379,
984,052,117,559,775,890,426,440,953,717,525,097,567,302,693,273,214,026,778,
318,220,361,062,807,989,540,145,767,644,189,537,079,064,932,192,495,478,783,
915,847,790,239,014,534,405,582,925,683,814,133,970,448,908,726,035,314,274,
954,931,605,545,691,925,195,058,959,547,051,829,554,447,975,886,115,783,670,
277,314,774,901,034,761,124,374,878,229,000,553,799,630,332,931,419,954,465,
922,207,697,173,808,443,731,828,797,515,499,968,419,439,282,865,305,846,793,
550,172,130,841,851,896,035,727,877,619,350,516,607,842,077,231,267,161,449,
116,247,348,765,373,978,360,620,110,839,240,059,250,371,323,190,214,225,859,
635,034,465,787,162,102,841,283,761,199,059,347,463,792,486,903,677,240,360,
274,967,498,317,215,908,603,430,226,070,466,913,854,767,660,631,609,400,669,
976,690,942,499,875,547,771,104,966,970,640,674,326,686,856,809,842,788,300,
225,652,509,925,738,657,432,655,535,825,041,589,159,457,355,831,633,215,814,
686,487,634,913,936,630,395,820,237,074,772,628,587,191,774,272,908,927,984,
696,278,776,829,406,755,265,862,498,127,493,056,405,824,094,465,544,140,418,
760,692,981,126,502,970,079,728,437,502,871,551,673,883,951,772,347,488,724,
180,031,648,661,392,136,903,534,629,463,912,369,014,976,457,490,234,247,997,
099,859,994,521,280,998,295,771,552,516,675,341,230,791,574,330,042,076,054,
875,859,081,672,084,481,970,217,232,215,945,780,116,791,799,306,086,440,653,
532,189,923,516,029,328,597,836,930,509,509,444,563,462,299,881,001,082,467,
028,413,708,731,915,147,933,222,040,960,390,987,085,100,357,145,520,545,268,
140,192,312,001,657,370,709,533,514,460,271,804,310,664,847,893,018,214,874,
582,995,458,055,550,348,431,693,399,637,513,916,296,601,006,884,328,050,045,
795,061,911,877,473,941,317,177,112,966,914,516,649,304,088,345,444,778,786,
236,733,864,325,477,214,411,455,575,625,395,949,013,364,003,397,492,281,895,
525,119,500,483,478,319,789,486,553,342,785,393,907,218,264,412,100,212,691,
647,087,026,590,387,341,143,697,280,964,080,964,289,131,305,822,782,261,985,
685,027,933,288,299,929,357,940,943,554,981,348,521,183,133,991,158,566,314,
275,215,661,304,318,704,880,751,829,441,406,549,155,949,965,125,536,958,872,
956,753,497,194,589,330,883,909,587,414,539,536,858,696,781,200,778,849,902,
802,261,299,421,764,753,796,736,083,518,271,805,756,065,995,179,376,594,144,
204,317,744,797,292,746,718,884,902,363,756,978,944,955,859,954,477,887,123,
757,491,309,568,076,150,529,201,594,255,163,567,980,301,446,209,108,968,573,
614,312,477,966,042,386,195,731,208,785,287,014,475,153,863,359,053,692,614,
397,466,561,140,267,202,667,254,633,329,720,187,665,812,545,839,712,236,661,
348,808,619,946,172,914,962,981,462,715,293,357,673,698,804,313,670,975,423,
801,703,230,872,005,873,936,040,750,785,778,892,671,085,565,328,915,432,805,
701,918,271,748,739,047,044,282,028,016,733,883,416,789,964,318,716,430,166,
920,482,393,613,684,024,867,117,842,827,813,335,489,020,320,797,282,309,685,
565,415,798,318,158,311,798,053,532,897,555,887,992,483,803,331,961,026,315,
925,446,004,280,747,899,090,561,214,241,217,395,969,289,954,158,020,400,112,
836,680,041,867,298,164,471,826,203,328,011,901,251,635,573,330,325,659,311,
562,100,523,927,097,417,809,434,788,659,701,892,438,474,335,303,795,548,554,
389,678,237,038,155,836,347,021,471,541,959,517,029,721,012,013,848,225,600,
733,558,823,670,773,345,263,436,705,595,621,761,375,258,316,059,842,757,961,
470,094,774,938,420,326,339,592,479,649,382,672,205,775,438,949,014,374,762,
115,081,175,258,119,975,323,562,105,327,885,950,440,247,622,655,608,696,502,
963,491,095,041,540,216,798,536,132,397,359,469,194,742,154,065,450,436,570,
779,478,412,814,403,043,468,021,258,082,380,806,240,642,265,164,142,518,531,
397,776,559,029,339,231,466,774,744,328,240,120,586,760,903,926,192,407,049,
125,819,043,334,337,601,703,934,485,329,494,270,539,113,078,618,010,402,433,
564,204,690,717,389,209,778,264,247,710,544,858,363,415,537,412,675,751,505,
197,628,087,488,795,981,310,312,277,538,212,161,653,167,088,890,907,915,154,
477,912,623,489,759,546,655,898,309,480,723,706,165,934,660,562,580,148,516,
489,576,478,739,045,064,608,665,317,020,167,556,963,662,805,717,362,661,004,
309,027,256,361,750,652,763,094,026,887,603,945,453,978,418,337,177,284,463,
086,082,054,176,117,542,428,519,719,761,714,460,586,041,971,110,023,137,881,
250,131,252,551,428,998,198,422,751,697,707,717,209,056,526,859,410,836,172,
716,837,821,734,704,851,587,791,757,935,763,788,814,413,583,503,843,557,630,
496,590,451,707,338,425,432,244,221,969,527,877,115,208,433,772,628,352,809,
517,126,458,138,483,258,168,787,412,843,433,577,890,728,457,986,194,246,477,
353,236,391,783,325,071,282,063,105,229,709,976,761,219,270,887,463,953,482,
357,064,649,316,211,806,116,737,030,281,857,590,671,096,068,991,340,825,173,
029,439,803,030,305,083,053,747,206,525,011,253,188,126,039,455,605,753,130,
365,489,646,483,487,470,381,348,713,601,819,915,906,291,600,923,645,645,137,
546,740,343,487,126,800,823,032,098,533,305,846,574,733,198,493,975,585,438,
227,915,882,357,099,930,839,630,264,940,320,533,747,092,358,024,622,997,895,
871,011,158,924,031,891,359,588,608,431,719,759,230,950,968,231,606,345,348,
884,910,014,302,693,969,707,241,463,845,743,542,053,217,780,733,763,178,560,
671,899,621,865,038,342,279,226,840,560,167,020,156,927,941,616,116,475,413,
251,460,534,773,048,131,051,223,188,142,408,182,282,303,988,599,986,428,975,
843,550,785,720,353,491,711,264,359,354,325,705,538,840,468,878,499,285,567,
571,007,191,271,264,038,836,824,997,127,554,139,102,214,093,300,863,275,294,
695,995,213,623,142,084,844,417,345,947,580,169,459,928,809,776,836,236,624,
634,030,525,467,320,673,155,893,185,053,862,692,213,051,284,926,790,858,717,
686,657,749,590,596,790,533,248,228,638,429,981,499,382,958,949,122,267,067,
169,542,776,309,875,294,614,299,244,495,597,445,273,152,534,450,238,047,400,
007,568,329,701,227,417,819,811,377,378,296,183,861,948,673,372,874,323,804,
328,830,093,586,221,332,410,037,777,699,663,179,185,838,386,831,503,934,327,
748,898,659,504,952,285,536,235,168,861,154,317,213,569,553,909,504,622,929,
955,747,581,727,664,169,448,429,705,249,544,827,282,043,375,251,387,497,109,
598,022,959,240,290,785,317,162,342,043,273,727,969,145,632,302,018,960,880,
849,904,231,059,855,353,420,948,597,837,855,257,579,089,210,882,682,633,068,
475,871,331,736,780,314,705,307,781,603,963,244,097,319,166,899,288,284,030,
980,590,349,440,066,856,750,003,894,805,314,580,326,884,720,230,768,723,340,
716,263,605,074,743,868,935,457,192,024,182,686,924,789,507,521,354,225,937,
608,975,554,302,919,805,704,787,436,453,237,511,950,808,439,513,136,373,971,
282,957,387,941,220,932,284,620,959,276,597,562,279,965,651,113,500,270,445,
168,738,164,196,030,599,030,903,061,961,377,732,542,274,910,137,908,616,533,
189,131,345,340,461,844,794,054,417,904,435,637,774,338,864,877,837,075,319,
469,863,579,436,652,585,564,257,530,562,222,793,449,700,479,001,452,140,659,
851,951,936,559,601,441,207,479,219,107,336,757,698,475,122,421,689,863,029,
988,717,934,577,322,650,335,413,734,836,912,928,705,362,185,567,016,414,889,
388,984,591,095,435,924,992,327,311,287,630,386,973,029,675,498,321,489,789,
950,572,280,456,371,955,904,981,529,570,512,969,057,139,150,018,288,323,793,
443,228,444,418,087,525,848,604,341,931,591,336,150,931,322,992,892,602,706,
569,780,864,682,774,848,991,561,683,714,670,185,510,574,754,377,548,831,533,
712,584,814,170,443,903,950,944,282,387,810,997,697,390,975,266,267,056,083,
093,939,636,350,194,343,128,054,977,199,261,053,002,792,028,868,103,539,465,
684,199,850,334,504,329,916,891,271,405,508,835,444,854,355,889,126,560,687,
712,677,848,403,103,203,057,569,772,170,323,934,441,638,890,652,285,599,517,
426,553,393,441,768,520,171,363,121,000,971,543,322,710,464,813,068,717,979,
998,649,708,192,810,703,200,713,396,344,635,629,186,246,567,124,979,518,031,
132,397,762,004,575,965,411,410,003,256,174,910,800,076,824,800,970,738,936,
310,724,242,581,440,210,612,916,726,586,116,138,910,946,317,390,843,318,776,
110,495,756,042,614,718,045,775,532,873,284,563,548,103,359,777,998,466,881,
574,252,600,667,914,731,553,982,021,266,188,801,156,867,240,559,575,969,055,
774,012,860,090,407,440,911,636,368,454,555,525,981,261,841,790,051,937,555,
891,433,027,036,516,203,987,818,985,658,572,368,819,067,362,282,813,979,524,
190,049,467,332,304,190,463,169,554,228,359,476,572,193,076,640,905,008,097,
890,797,315,119,092,095,827,749,434,272,266,158,868,824,655,358,752,115,198,
945,457,320,628,561,968,858,468,473,248,997,127,770,739,716,443,947,450,397,
687,928,836,746,305,578,136,704,244,629,577,871,194,567,804,605,940,355,799,
502,030,629,414,704,943,369,561,502,642,357,868,937,330,718,821,711,907,295,
436,804,538,686,544,161,904,751,863,678,906,327,354,621,465,535,520,323,318,
424,580,226,110,079,909,560,439,979,749,935,529,878,729,127,579,371,892,506,
142,982,477,961,524,236,336,531,316,963,925,564,175,939,049,275,446,199,430,
636,359,613,673,321,641,919,226,638,136,416,280,713,464,879,747,519,177,885,
747,697,156,660,562,743,509,020,167,266,958,121,536,566,966,728,146,288,733,
652,076,962,065,785,349,471,371,993,102,224,146,497,746,048,973,689,403,884,
532,482,632,331,528,265,071,879,333,576,976,668,787,251,891,416,668,527,986,
340,822,383,044,266,130,513,563,106,561,425,910,450,404,922,638,480,304,284,
764,510,617,665,797,210,199,565,297,059,533,281,478,315,808,427,489,914,756,
985,390,107,755,873,143,482,097,344,812,522,156,312,289,662,608,742,769,273,
574,861,536,635,226,459,203,301,057,389,078,184,732,910,603,242,182,199,272,
101,923,021,599,353,556,091,606,111,138,409,422,832,362,840,608,508,116,935,
332,814,960,452,269,613,396,995,030,701,159,055,729,039,649,145,057,970,288,
019,923,073,826,022,165,335,827,546,957,947,803,224,893,792,475,555,447,485,
333,151,399,567,760,265,776,885,560,373,958,432,072,473,511,464,403,252,075,
438,943,034,815,038,525,925,553,095,130,852,289,528,983,361,285,979,559,071,
776,474,112,626,647,707,384,595,176,994,028,818,523,661,160,460,726,479,915,
461,643,807,454,611,072,006,520,146,202,141,417,945,322,467,576,808,932,596,
629,247,370,820,906,730,872,031,628,397,891,791,013,550,906,184,446,065,738,
428,949,456,794,239,611,282,539,755,936,928,077,981,014,465,117,973,802,415,
635,572,101,350,468,731,893,919,428,548,754,229,467,975,470,743,848,730,847,
942,934,587,959,244,790,876,656,977,053,925,869,157,010,096,207,449,010,581,
789,060,180,698,587,473,705,846,765,281,113,036,308,475,069,561,489,643,366,
005,945,577,679,037,676,305,627,713,888,641,268,980,348,349,232,930,889,002,
243,026,759,327,529,164,816,389,967,926,524,520,326,299,808,568,659,840,383,
221,371,156,108,883,315,127,399,134,123,810,408,504,127,678,146,711,539,912,
123,201,183,873,950,479,551,279,431,325,717,066,750,329,049,781,681,203,275,
020,261,801,106,783,202,641,545,985,125,951,818,136,267,359,308,432,093,136,
513,714,545,969,004,721,810,471,019,900,391,038,433,946,291,925,752,320,696,
935,242,120,857,371,175,537,539,003,673,347,471,491,542,374,828,156,076,814,
612,675,868,880,251,335,007,378,822,815,210,117,006,014,528,044,891,908,213,
245,076,324,053,348,584,083,036,945,876,722,518,213,345,158,050,936,611,265,
523,302,239,214,004,083,119,924,571,167,756,586,051,936,900,580,229,366,000,
566,177,134,221,755,027,676,190,785,648,088,997,556,334,636,045,725,524,120,
629,545,844,916,208,390,800,281,364,652,841,736,806,316,336,838,388,984,218,
657,315,702,600,620,115,475,220,345,970,443,439,194,176,401,699,988,232,134,
886,765,515,073,084,858,896,939,068,149,797,407,222,333,940,307,025,486,892,
442,833,536,516,914,032,858,693,617,154,682,764,140,183,201,214,846,524,486,
883,649,975,049,877,473,724,887,440,298,721,916,289,005,259,940,289,479,376,
433,031,151,810,663,866,171,585,231,814,949,455,639,943,657,845,922,836,062,
981,007,491,742,894,608,171,677,090,623,293,017,978,513,426,854,051,492,784,
556,113,210,685,695,681,945,405,397,591,191,484,518,974,764,860,342,318,186,
617,359,927,447,171,147,153,819,450,904,584,326,523,439,348,237,017,196,413,
807,327,599,782,009,817,943,423,636,901,937,942,387,696,799,074,517,505,378,
353,629,745,323,244,833,686,475,991,744,384,674,506,334,509,405,039,472,478,
877,619,984,765,515,117,180,425,699,976,444,164,522,955,892,372,655,308,127,
630,814,606,992,734,892,516,983,333,660,512,756,397,922,761,885,130,842,987,
403,661,953,931,350,647,937,733,934,176,139,123,309,485,890,213,039,109,618,
408,633,527,213,755,941,620,969,598,058,787,840,117,713,018,526,736,504,305,
985,224,890,897,654,009,508,429,774,847,802,372,348,368,833,805,666,784,193,
454,323,044,638,021,781,413,360,934,960,694,098,127,524,982,185,918,872,880,
665,609,890,812,424,171,889,362,390,312,280,006,249,795,954,651,681,129,152,
418,125,991,131,834,560,271,676,012,422,087,098,268,139,816,072,285,525,365,
969,631,839,551,249,047,539,877,418,795,824,097,979,533,995,622,115,400,405,
031,240,232,503,342,163,647,069,265,328,678,231,389,166,947,637,562,949,339,
541,733,653,378,478,245,488,707,504,328,871,480,222,911,916,338,144,064,215,
185,137,017,075,494,938,226,188,135,601,937,409,093,079,548,734,157,642,945,
734,992,879,959,335,802,645,137,392,030,377,200,009,018,762,107,288,543,560,
429,682,580,404,835,977,983,259,676,537,184,296,619,284,895,612,260,056,207,
757,824,641,693,642,234,189,215,986,599,192,622,146,239,237,860,959,294,205,
738,087,361,333,459,435,834,491,145,355,305,222,229,870,227,224,821,216,047,
911,809,940,922,030,377,498,834,860,396,582,322,057,471,150,926,567,290,344,
268,791,366,655,766,905,218,764,366,778,638,398,119,109,095,968,501,084,776,
491,152,142,084,349,110,968,418,266,322,164,144,944,165,377,911,091,137,301,
045,544,916,433,201,786,338,206,563,967,828,089,211,812,833,109,512,897,480,
295,874,061,778,649,035,358,854,304,677,502,571,098,787,687,940,090,998,519,
895,378,078,910,838,830,141,002,731,974,614,805,641,991,674,039,486,625,905,
969,477,474,811,014,147,691,584,426,906,919,308,765,509,267,124,401,446,168,
758,738,803,568,434,517,162,462,649,250,452,183,169,825,803,715,749,738,876,
346,231,486,903,183,095,154,740,236,703,671,676,534,930,436,117,949,436,076,
004,764,625,531,139,297,142,480,897,371,172,764,249,763,249,800,999,330,208,
138,182,475,290,803,483,344,085,789,713,463,932,832,281,975,047,947,513,494,
839,083,770,198,007,048,226,887,897,093,842,116,748,274,459,715,102,554,299,
576,978,039,835,265,148,833,345,093,585,971,758,466,862,537,451,654,978,083,
699,484,314,711,658,485,923,087,040,904,076,185,557,113,338,808,905,451,622,
475,489,197,522,713,942,060,999,739,390,836,334,240,061,294,198,584,219,663,
644,878,087,765,451,765,825,737,298,393,339,701,244,677,080,626,330,982,469,
392,862,594,472,993,371,103,462,573,136,984,023,297,431,146,584,470,070,057,
802,051,408,450,454,743,485,740,155,677,034,870,181,706,011,393,395,301,804,
634,121,281,695,889,706,852,078,329,908,395,571,778,789,171,142,393,341,443,
060,935,127,776,614,647,118,898,349,471,294,516,706,925,146,477,659,774,738,
006,921,550,620,520,514,665,765,045,195,672,532,554,677,204,050,742,808,345,
366,879,743,177,728,246,247,717,986,097,746,862,119,823,781,064,064,182,296,
390,366,517,138,936,933,052,238,933,702,629,019,051,757,957,824,339,493,537,
065,362,307,723,414,660,968,404,696,868,420,536,008,330,678,450,086,177,422,
918,522,849,809,484,979,679,282,595,343,339,930,102,886,134,258,052,789,453,
279,951,463,641,498,490,182,158,789,694,762,790,460,340,719,758,039,651,866,
347,276,972,278,881,294,084,511,880,329,579,155,264,774,045,689,781,847,170,
403,952,722,344,509,209,984,486,943,902,912,669,724,609,075,868,564,904,363,
667,581,717,280,872,078,539,694,357,794,627,458,902,280,435,985,074,618,875,
552,563,244,742,972,723,942,788,792,793,758,648,967,722,279,948,778,164,696,
810,908,169,873,246,192,899,224,151,674,423,567,513,802,000,997,682,985,998,
524,715,748,582,491,275,469,298,073,249,200,148,459,912,339,505,805,233,203,
594,107,274,494,426,535,823,950,163,644,073,409,518,271,657,465,556,450,213,
841,197,134,622,440,121,232,366,940,983,218,236,643,951,632,064,520,856,126,
865,876,345,344,248,266,140,606,530,371,646,668,156,161,621,272,427,025,429,
032,571,978,496,707,376,279,345,956,248,969,287,048,776,880,785,723,215,077,
631,173,920,389,715,689,902,381,229,608,436,577,997,035,480,029,758,824,122,
865,961,708,033,622,159,257,756,695,075,445,481,835,140,998,770,691,383,746,
371,400,126,025,436,464,544,039,890,052,558,507,942,456,217,841,019,179,030,
053,084,799,709,060,113,031,938,202,118,639,532,703,186,431,448,790,995,824,
056,727,769,722,188,914,382,107,304,912,431,860,024,812,454,436,920,186,255,
445,929,082,478,441,425,491,707,904,051,008,553,959,211,130,342,760,184,653,
043,456,551,782,258,242,617,941,931,586,178,068,371,884,575,398,981,515,199,
681,313,989,352,804,067,132,249,269,295,877,160,786,910,640,101,301,532,013,
962,019,078,134,963,049,646,489,325,432,683,637,419,514,434,997,515,526,006,
668,188,089,758,016,246,284,834,996,414,332,699,010,213,308,566,865,876,698,
860,785,895,701,062,698,700,346,400,418,230,599,898,131,735,412,308,162,091,
387,887,595,930,148,445,409,778,125,958,342,742,607,729,442,138,060,419,682,
128,808,182,599,152,243,099,362,548,068,261,506,010,485,292,686,235,800,697,
626,907,583,490,183,879,328,773,503,656,907,750,510,795,073,637,148,683,461,
562,791,756,513,619,809,021,542,179,934,253,023,065,613,527,715,238,967,507,
387,971,502,782,937,970,038,686,507,644,881,672,473,485,444,833,535,512,512,
302,093,606,638,771,313,331,786,436,732,125,125,800,914,933,498,686,818,914,
063,086,102,183,283,824,696,152,100,518,137,987,352,791,833,923,536,579,502,
262,860,591,519,976,492,618,811,446,422,135,005,961,669,398,435,553,859,376,
295,095,121,679,655,258,923,575,021,004,281,859,965,734,249,752,681,316,122,
239,261,305,944,001,961,819,780,012,066,557,939,066,834,240,631,408,670,627,
180,123,819,161,221,136,625,401,236,953,230,831,916,107,979,580,218,123,604,
847,383,434,092,130,614,281,263,852,485,002,589,865,036,347,556,565,215,548,
614,770,315,290,652,674,303,432,596,155,271,161,314,594,910,325,328,583,118,
817,507,409,869,796,611,325,223,832,162,877,098,497,509,407,843,925,947,417,
366,096,283,512,473,014,286,187,187,392,497,554,257,748,547,196,789,131,564,
625,199,271,034,398,875,015,081,644,940,876,320,584,707,353,457,602,370,927,
318,562,162,115,852,130,127,834,067,737,644,516,458,337,795,222,669,520,561,
386,350,785,766,651,324,798,141,744,646,712,580,714,533,131,425,841,717,169,
926,378,872,717,105,653,015,962,629,969,865,356,246,715,130,772,720,006,145,
620,194,676,920,150,718,652,680,644,091,211,853,951,254,502,642,822,181,942,
964,217,448,717,173,107,642,131,177,891,028,182,753,256,560,558,348,569,885,
744,832,116,423,939,561,490,993,526,530,855,230,467,287,467,322,959,673,192,
108,256,951,205,858,593,691,542,325,027,772,342,365,331,257,686,513,869,373,
899,237,506,193,619,987,655,584,680,703,363,078,686,235,329,370,415,171,085,
626,499,062,342,280,844,556,982,355,193,848,854,037,992,197,446,721,916,037,
498,179,613,103,088,773,192,177,812,508,785,981,390,234,030,107,859,166,766,
194,352,549,764,290,782,644,274,903,610,978,013,108,770,237,346,050,661,986,
596,365,873,191,180,771,822,553,753,024,625,878,706,958,011,692,865,301,272,
126,895,176,377,894,170,329,236,293,452,032,317,517,694,197,117,645,635,235,
127,358,946,090,625,165,046,160,639,176,070,583,476,337,320,058,329,422,844,
967,762,251,301,077,212,078,453,490,186,977,347,592,125,750,874,650,085,957,
305,081,515,738,535,624,927,964,232,856,571,734,354,548,607,060,467,079,595,
995,215,369,545,137,002,685,453,446,793,274,044,838,771,254,407,225,300,501,
724,485,871,789,889,070,674,159,197,389,688,884,635,937,390,752,404,746,996,
443,723,698,181,446,282,964,151,815,833,946,946,937,979,581,026,079,187,990,
396,326,018,362,752,919,778,189,881,648,018,638,181,134,347,619,737,522,596,
345,485,452,088,842,942,999,274,300,201,296,461,588,899,565,474,496,631,582,
593,837,326,593,335,692,914,760,976,481,763,073,979,445,654,808,678,247,697,
306,345,146,331,159,059,681,463,782,045,940,466,217,800,645,365,450,596,847,
725,870,597,727,330,240,479,938,946,701,076,262,261,061,782,636,126,601,937,
381,014,811,835,518,872,358,795,524,642,939,898,119,730,478,642,339,751,425,
878,452,518,821,556,204,134,796,149,306,375,404,398,307,467,714,661,231,285,
051,367,388,822,436,918,595,989,190,578,562,435,869,171,998,019,056,636,304,
559,731,288,393,055,208,599,156,625,582,947,450,693,640,194,836,125,690,564,
781,790,960,247,287,726,427,219,260,478,620,772,048,953,599,407,099,863,280,
919,842,494,982,249,194,755,974,457,639,259,549,231,971,529,376,137,545,205,
787,602,560,307,827,344,193,663,683,386,361,948,904,076,096,684,312,148,485,
515,389,956,877,704,951,056,253,019,446,661,084,432,779,692,685,482,366,522,
264,441,663,295,622,346,374,189,049,715,626,701,158,576,792,393,572,825,993,
435,095,724,756,067,378,767,683,595,803,277,694,993,375,151,370,621,838,578,
928,022,007,294,722,376,804,944,280,829,678,604,225,001,249,485,838,752,797,
693,751,715,861,095,271,916,284,878,812,010,125,049,410,853,726,284,599,187,
076,872,980,014,834,842,088,257,727,596,634,341,152,580,673,671,957,343,710,
693,629,724,585,115,354,943,393,631,037,982,663,030,208,515,222,960,742,458,
214,123,950,305,697,134,149,571,447,410,565,742,833,569,078,792,402,395,679,
786,685,598,379,078,995,497,916,556,509,953,389,427,189,400,102,485,940,559,
676,194,886,959,380,259,024,428,759,948,123,712,516,840,730,857,784,639,483,
825,759,823,193,616,441,651,514,201,847,704,059,068,326,263,574,260,441,272,
132,481,677,252,900,860,503,945,436,876,629,850,333,422,227,022,304,018,790,
534,436,820,897,020,181,562,747,209,086,977,355,070,396,783,028,128,974,521,
956,592,434,723,485,079,422,915,776,042,540,554,557,147,186,004,803,713,291,
875,096,686,538,659,792,186,217,304,895,002,910,506,746,449,816,736,294,805,
335,381,435,850,860,712,925,484,370,127,073,887,731,227,275,312,378,429,256,
872,826,830,986,930,710,223,487,298,885,268,019,389,460,677,617,047,204,722,
763,142,458,313,896,860,257,126,248,657,278,898,356,315,225,050,262,891,188,
679,704,798,365,622,287,716,386,937,390,544,142,156,793,320,543,735,841,929,
394,633,261,269,880,676,786,719,881,189,295,174,479,624,474,537,972,096,029,
475,235,244,127,432,870,173,868,261,490,597,524,334,656,241,001,956,874,662,
299,368,238,512,684,375,870,173,356,439,674,315,379,486,427,653,466,783,869,
581,623,183,945,078,408,683,608,199,505,546,737,874,281,053,773,316,505,800,
505,747,280,342,210,349,873,539,463,195,054,153,649,031,302,131,314,555,214,
789,878,199,257,575,545,974,614,957,220,810,640,900,681,117,133,608,159,803,
611,204,629,229,276,326,391,166,043,555,845,136,836,470,303,360,803,095,758,
384,230,675,271,932,789,046,810,591,909,414,355,888,384,332,359,347,358,621,
684,672,131,476,868,939,868,371,665,221,002,760,728,835,449,721,945,849,096,
854,807,087,301,752,646,151,699,381,494,897,704,614,283,922,427,156,040,727,
688,613,378,079,340,303,263,850,594,939,892,075,738,035,396,588,332,316,390,
748,169,511,196,219,367,070,224,201,794,780,703,164,081,179,698,530,553,556,
062,801,820,160,091,404,511,614,675,218,606,276,877,853,143,847,402,435,454,
196,213,223,717,990,216,631,831,504,697,810,390,737,817,671,687,037,338,131,
782,170,191,233,131,064,814,786,100,630,113,955,526,443,424,433,490,530,768,
680,719,630,298,213,097,150,109,794,673,373,519,136,015,159,643,162,666,871,
213,490,418,003,409,333,812,616,915,870,476,201,345,111,333,411,752,815,114,
189,464,150,760,565,020,925,247,587,178,383,084,448,714,518,230,542,155,684,
203,052,696,261,240,440,698,440,550,954,924,673,922,053,897,100,745,835,015,
782,402,256,402,379,026,862,248,868,152,099,824,092,874,734,803,946,665,274,
229,272,433,420,974,068,558,454,903,993,186,822,047,106,320,816,218,111,706,
732,924,871,555,639,675,978,700,891,392,163,071,523,956,991,459,703,507,946,
027,866,151,809,661,750,585,667,968,094,948,799,855,657,842,763,441,413,218,
542,857,021,633,952,806,863,804,413,349,249,507,832,544,387,735,402,105,432,
047,586,176,612,092,619,809,662,722,224,159,678,815,864,847,920,388,458,557,
219,105,393,924,493,917,045,795,244,041,482,032,315,009,763,392,426,507,001,
524,337,702,236,081,157,210,480,737,891,509,396,095,099,021,895,638,252,588,
692,678,778,722,706,910,390,375,595,864,692,248,707,442,192,711,647,612,977,
106,423,735,651,006,847,092,868,924,018,805,934,813,268,885,845,173,543,574,
054,184,567,993,623,471,933,977,164,311,748,470,177,730,603,173,630,459,122,
365,640,087,699,149,542,721,826,233,815,366,932,309,822,634,576,655,176,907,
424,835,475,849,591,263,975,192,485,496,461,815,342,062,097,343,412,509,197,
161,545,308,470,510,201,168,774,138,229,592,543,366,040,627,028,300,014,691,
871,504,511,434,480,342,841,271,277,506,454,557,703,193,191,370,877,243,236,
391,773,973,464,718,930,006,867,631,671,430,200,997,801,392,242,386,030,849,
881,416,488,405,094,319,950,494,390,252,541,709,378,731,628,294,202,670,664,
883,833,143,097,033,509,250,369,755,969,176,439,516,052,866,200,629,701,052,
019,823,208,532,683,630,738,419,805,375,387,668,960,252,221,278,168,992,969,
387,088,172,256,373,206,000,692,711,154,795,916,724,729,581,226,338,356,204,
813,202,432,093,671,550,049,338,268,679,673,052,342,249,283,805,871,915,363,
399,652,679,628,394,033,672,517,411,153,293,898,679,569,998,169,299,464,705,
267,470,482,506,740,282,234,730,822,066,848,400,643,438,535,384,866,765,793,
451,021,354,565,718,819,289,548,964,108,056,103,561,332,107,938,829,546,363,
213,436,226,814,731,052,453,201,145,422,171,084,839,798,151,201,179,892,665,
019,633,948,889,351,924,221,083,998,823,243,878,791,089,987,467,116,387,909,
105,929,919,430,050,245,464,964,210,657,482,504,166,015,224,036,089,685,631,
097,680,725,995,059,760,437,819,016,968,928,735,720,989,863,699,137,927,167,
228,847,105,175,562,115,576,396,747,208,968,647,607,430,476,683,484,417,430,
078,418,278,099,539,616,132,899,986,681,933,867,209,659,332,855,389,155,635,
002,350,320,461,488,971,571,435,543,576,282,814,145,073,434,201,665,723,087,
571,217,116,920,388,972,200,050,092,229,370,088,993,161,915,543,427,527,174,
479,070,742,317,417,237,764,199,391,264,321,478,867,388,100,308,211,232,435,
046,633,065,924,783,306,026,368,551,967,197,541,911,427,785,861,246,721,846,
231,451,908,759,463,797,637,475,740,658,207,319,871,839,315,208,096,719,129,
792,658,833,879,369,421,467,262,082,697,103,494,897,903,701,424,969,144,981,
868,797,837,991,032,343,418,360,877,445,283,131,097,566,841,551,494,459,478,
001,811,765,766,425,577,161,644,112,190,354,236,165,279,828,899,857,583,270,
617,568,424,546,681,913,904,714,352,448,893,437,360,241,300,847,070,790,588,
099,532,635,369,320,016,307,371,524,836,076,224,662,033,673,763,795,875,433,
458,845,088,400,480,141,712,496,349,719,284,604,177,440,124,220,520,527,825,
272,649,932,946,106,039,036,985,377,459,224,436,609,449,352,720,858,273,164,
249,938,781,119,276,266,147,371,024,352,772,196,596,447,622,082,845,683,427,
587,945,593,845,205,378,157,811,643,643,647,354,118,909,358,594,303,322,064,
618,854,955,927,959,865,314,283,143,176,991,304,210,371,677,593,528,064,333,
116,518,778,823,978,110,946,517,564,833,098,252,568,675,953,274,378,760,960,
249,047,259,493,375,057,912,145,372,031,562,625,992,748,388,763,955,698,936,
779,610,785,152,309,337,948,350,383,349,326,063,581,139,448,346,274,661,900,
588,395,760,719,722,486,556,559,072,898,471,383,631,365,527,319,124,395,991,
233,056,066,869,092,340,533,116,836,712,098,976,415,622,593,056,577,390,663,
748,490,358,522,100,934,655,059,840,340,677,521,581,957,479,952,920,631,691,
133,144,124,891,864,122,610,613,357,837,991,517,208,708,072,809,996,768,740,
800,027,460,916,020,587,916,001,441,917,494,408,812,935,888,965,609,684,049,
867,748,793,885,771,209,338,436,609,590,104,664,006,465,591,450,872,373,718,
789,618,732,129,491,324,823,967,813,107,548,817,770,450,857,660,476,100,228,
600,662,360,842,673,793,377,019,701,117,992,938,633,991,781,951,751,184,438,
504,407,053,446,873,002,815,254,806,354,006,758,856,734,664,040,227,985,452,
238,009,556,392,136,379,659,216,618,114,933,168,702,506,377,669,781,358,913,
776,093,598,889,295,813,471,045,148,461,311,366,131,710,868,653,242,387,148,
225,961,657,162,306,080,861,270,356,426,530,425,437,396,446,624,692,443,951,
673,697,199,084,775,167,958,114,850,324,799,208,131,580,378,370,273,840,280,
773,441,020,945,279,027,848,428,647,605,217,723,937,118,171,226,037,447,160,
449,900,440,853,282,158,683,995,536,268,202,268,727,530,137,497,423,670,340,
222,229,795,851,281,278,133,519,432,039,282,427,598,994,170,660,058,162,685,
010,664,972,642,009,156,906,597,058,993,298,798,085,285,395,715,602,698,315,
037,902,437,559,580,566,100,006,874,839,835,921,016,624,439,181,476,034,975,
654,783,112,853,433,969,988,032,370,226,007,646,208,133,847,764,153,264,028,
948,004,710,747,493,387,374,852,841,762,027,145,410,032,973,532,066,794,591,
536,400,727,511,998,546,316,104,106,110,803,669,673,405,264,481,381,613,735,
422,572,055,950,928,512,587,753,354,177,568,335,817,868,883,802,445,738,920,
295,249,494,399,324,056,806,136,330,018,844,193,385,471,402,842,341,457,245,
956,440,119,588,731,301,359,543,475,425,001,815,004,758,472,977,302,642,994,
851,437,317,966,167,820,177,586,212,049,632,174,760,940,753,325,944,913,746,
572,901,481,139,347,156,458,355,707,579,789,747,569,738,320,580,476,554,559,
610,741,916,122,305,355,677,587,104,681,934,516,485,171,969,924,637,578,643,
425,779,450,608,864,312,183,747,826,564,555,234,127,312,856,437,968,654,603,
523,999,972,019,580,038,463,177,730,326,471,707,741,464,897,878,244,688,635,
435,066,063,428,114,624,644,387,506,708,396,770,932,715,211,869,826,782,280,
769,540,332,337,586,189,149,151,430,833,917,565,046,345,977,886,801,980,743,
787,171,962,099,272,845,992,524,256,504,148,439,799,209,155,959,512,372,936,
469,318,369,030,078,022,281,203,038,821,529,170,204,704,644,165,650,236,947,
054,984,643,500,371,390,946,331,693,549,408,700,119,575,968,055,534,811,483,
396,761,230,732,694,278,022,730,951,906,621,462,008,732,778,138,759,464,061,
239,517,511,884,407,116,897,927,786,599,255,541,299,231,777,487,489,790,928,
504,038,704,453,950,443,467,773,999,546,483,468,206,209,071,837,025,094,020,
402,640,692,480,503,161,526,706,261,068,768,122,051,918,723,971,145,529,908,
497,605,275,797,582,705,111,478,669,219,726,320,972,283,101,950,307,783,179,
318,949,565,686,487,494,079,285,527,983,150,269,896,599,059,239,737,762,776,
748,079,138,544,115,490,721,139,203,354,553,294,248,851,364,409,665,687,180,
032,981,089,521,607,492,280,512,122,966,402,365,641,113,396,572,177,486,362,
198,471,302,989,758,712,509,143,643,495,541,844,239,211,152,951,958,735,063,
488,501,932,173,667,183,307,603,803,989,999,699,288,897,880,072,259,102,826,
512,978,880,322,015,903,948,074,850,568,748,350,612,082,279,761,870,116,010,
046,443,787,265,856,434,798,940,530,151,148,374,095,730,882,956,938,294,779,
946,462,580,971,158,765,916,433,482,275,923,270,763,073,739,659,907,882,201,
769,577,957,620,841,099,848,689,865,584,031,533,355,185,033,661,711,780,254,
861,955,075,638,843,199,505,070,442,863,727,886,442,140,787,843,646,934,549,
231,481,923,149,927,192,679,961,404,012,413,441,158,101,104,174,685,960,686,
532,347,609,437,076,319,097,842,238,537,233,121,729,424,397,623,731,578,948,
126,204,008,526,781,732,691,028,207,160,629,020,620,003,282,107,946,781,841,
688,349,989,582,040,676,717,097,877,768,540,320,123,065,523,111,416,787,485,
073,717,309,427,987,808,666,944,040,929,394,801,848,406,102,436,461,668,607,
356,689,573,366,082,322,102,607,356,903,150,149,188,952,169,487,822,472,268,
900,973,803,079,123,835,766,403,168,937,072,212,667,871,989,632,166,148,639,
562,339,732,478,998,134,192,535,947,879,777,772,491,943,462,153,822,925,409,
452,129,699,975,003,818,828,019,124,602,699,330,349,599,286,779,195,708,610,
209,384,100,706,380,768,226,412,551,275,569,915,446,112,399,427,104,690,178,
333,659,325,684,109,560,108,144,242,940,930,852,927,014,216,825,290,119,293,
389,251,938,630,866,653,099,955,659,135,016,831,946,948,114,318,170,528,130,
761,465,453,534,397,658,270,286,711,789,627,965,462,577,213,923,155,091,414,
480,132,125,220,578,897,927,772,954,585,920,037,146,335,657,880,031,043,524,
198,341,868,479,193,980,939,179,352,108,208,244,890,032,574,676,127,528,677,
146,953,688,668,069,197,048,481,672,483,326,171,358,135,844,421,770,233,524,
593,662,956,385,909,168,599,346,394,622,256,006,951,823,775,673,257,263,652,
051,835,848,133,686,835,355,555,337,613,296,965,405,523,627,081,880,548,438,
229,031,502,529,034,439,635,160,884,153,135,394,410,146,847,577,645,441,612,
711,123,544,364,834,070,035,136,860,995,373,641,472,131,165,827,176,225,158,
797,021,216,232,246,844,965,122,705,121,000,520,585,372,913,099,426,429,243,
310,211,356,354,676,949,486,623,454,502,185,328,134,636,390,637,948,910,959,
767,643,371,322,976,031,772,427,066,364,260,620,586,561,647,226,354,406,590,
933,430,688,149,159,810,900,481,422,944,306,049,487,286,032,535,665,459,205,
713,854,173,175,871,004,177,032,033,705,196,141,751,039,594,937,724,491,377,
179,687,144,897,633,181,083,609,130,448,281,916,747,500,009,623,434,217,040,
423,881,884,838,967,100,942,610,932,993,953,320,403,827,837,980,827,588,946,
126,131,532,940,969,859,844,355,279,803,497,027,852,134,484,717,258,213,120,
982,700,019,174,539,284,371,528,092,399,042,533,607,844,945,313,546,629,509,
995,372,945,270,121,360,460,034,939,320,290,496,468,742,556,724,808,290,675,
405,103,362,534,569,262,167,002,094,886,688,309,951,921,583,417,659,911,762,
028,646,048,001,690,722,249,315,485,789,578,603,413,425,964,370,574,063,904,
652,141,741,639,382,755,720,263,698,411,106,490,911,018,540,975,323,623,785,
549,302,255,038,145,280,352,370,419,264,193,581,994,678,624,832,970,646,110,
008,914,790,729,768,094,612,301,503,967,439,098,359,910,088,461,208,348,500,
031,034,978,153,820,468,257,356,467,817,179,712,855,618,849,265,311,822,918,
710,716,426,772,116,327,647,694,454,050,406,515,887,341,160,230,171,795,189,
741,119,175,481,418,164,717,834,368,185,148,845,826,593,169,719,507,281,614,
961,507,551,194,069,646,802,239,031,084,535,580,194,730,596,422,946,951,081,
807,492,443,568,249,736,199,302,840,112,642,938,294,132,970,568,278,594,696,
504,427,249,334,975,017,301,056,790,379,555,344,917,785,344,852,634,763,288,
611,825,788,452,915,495,207,057,528,028,900,173,643,252,241,927,175,763,825,
486,509,214,773,651,613,220,927,623,714,468,011,307,831,140,679,515,116,413,
641,694,674,683,371,500,333,130,142,046,522,299,566,543,803,072,397,721,714,
497,186,592,432,956,992,700,104,945,682,072,314,219,632,508,843,558,663,144,
451,681,660,303,967,326,867,504,958,086,002,781,307,717,116,987,815,645,739,
682,615,949,322,901,465,273,080,867,736,226,694,352,771,954,267,389,000,334,
135,307,002,307,486,096,760,216,837,857,672,062,306,173,893,676,654,103,894,
635,722,643,434,641,940,889,366,167,536,104,713,116,084,898,497,708,914,573,
367,695,226,922,351,077,236,941,413,782,086,373,636,136,808,015,370,133,661,
080,657,778,592,888,163,909,822,679,928,818,260,172,448,628,706,782,780,008,
361,473,180,866,482,541,453,931,954,857,576,498,346,532,152,657,167,608,827,
392,290,772,638,953,368,853,594,630,696,796,165,409,269,059,485,379,827,965,
128,017,445,277,149,608,493,343,769,402,542,104,561,469,467,162,350,778,853,
820,598,676,112,075,120,286,542,327,348,108,741,480,314,279,693,987,498,115,
626,633,887,797,200,406,792,513,456,946,089,400,440,779,432,902,501,599,710,
967,912,524,866,897,025,266,528,148,485,616,152,023,270,926,236,372,328,043,
803,024,302,631,574,357,333,764,717,121,788,973,296,364,675,524,263,341,923,
535,295,354,892,199,724,039,996,340,076,824,117,532,995,986,545,986,510,867,
504,605,470,422,980,436,284,113,211,810,174,206,293,866,289,132,328,306,484,
282,906,158,731,785,786,190,605,418,715,924,611,236,908,808,089,988,857,223,
994,970,009,396,608,328,582,276,584,257,929,423,741,334,416,976,748,299,916,
221,821,200,587,149,450,969,383,248,632,681,893,839,127,247,229,601,403,262,
070,147,228,326,837,640,679,229,292,669,185,749,648,644,005,873,471,581,142,
584,675,990,494,308,980,589,469,286,281,605,670,224,399,178,641,387,012,590,
587,700,461,021,547,031,969,252,915,154,916,450,760,949,650,781,291,775,714,
289,442,548,661,144,677,097,502,740,186,284,896,391,599,273,618,484,707,565,
595,774,406,406,469,853,490,865,543,028,002,989,407,549,239,679,393,803,426,
680,517,256,565,760,274,666,358,168,587,087,449,015,230,799,409,163,116,629,
614,993,245,529,242,745,235,436,783,120,503,761,273,613,048,763,685,138,943,
033,261,832,236,376,006,115,892,829,308,952,781,850,184,539,032,417,509,627,
766,298,158,313,960,564,944,782,796,458,206,046,262,790,698,129,194,664,206,
856,596,555,122,674,505,780,507,831,673,618,759,443,268,094,766,080,067,901,
698,432,848,341,214,553,882,446,403,371,752,763,841,664,309,523,000,436,436,
800,913,926,894,689,562,139,283,030,930,887,561,790,000,588,741,798,546,523,
473,064,251,137,198,470,494,579,169,125,568,720,854,207,518,708,839,064,865,
003,980,507,466,703,682,380,173,680,545,431,666,323,505,010,906,148,337,103,
351,258,478,247,268,827,283,031,714,835,390,280,450,051,104,939,618,337,779,
567,357,383,783,745,776,218,900,285,581,049,499,506,488,587,886,952,123,320,
554,249,431,797,922,245,287,024,690,768,089,398,190,654,332,509,504,407,269,
806,712,595,329,980,786,428,008,909,621,543,242,651,169,486,651,192,842,815,
066,483,170,915,105,729,750,241,135,663,851,758,880,011,188,079,283,501,241,
099,245,449,394,971,701,082,698,849,863,562,507,051,953,502,948,775,613,656,
388,323,630,352,325,161,523,532,349,081,224,310,411,568,738,674,772,737,023,
336,987,445,633,149,950,174,168,668,307,084,031,216,989,451,778,279,244,273,
478,451,919,974,587,881,379,760,973,550,190,769,553,619,628,811,243,086,861,
702,046,272,170,724,879,359,085,790,150,903,830,311,660,247,396,478,983,947,
503,195,122,784,436,088,310,006,132,937,863,532,212,223,771,272,888,671,858,
003,780,353,602,695,519,150,452,527,215,228,787,407,144,307,406,324,243,140,
076,577,711,589,706,201,952,091,003,378,685,155,698,118,348,221,446,662,967,
347,460,614,615,293,629,960,213,947,818,849,797,663,206,216,024,277,326,935,
836,667,726,329,836,323,600,073,542,499,359,965,163,273,127,390,541,409,311,
618,290,146,703,237,220,754,171,753,921,720,006,910,388,346,446,136,663,753,
599,498,805,784,903,862,203,153,093,749,073,550,851,489,592,910,193,616,552,
871,687,441,803,214,649,835,014,822,349,458,672,222,853,402,533,072,857,061,
153,557,333,611,219,242,491,048,636,916,008,806,467,638,334,998,661,960,583,
862,043,746,385,263,431,033,445,468,671,867,639,086,618,980,762,691,800,203,
887,327,347,503,302,431,841,358,762,763,411,528,098,512,271,086,126,437,004,
258,669,838,616,803,629,032,052,628,279,639,462,545,744,664,814,118,895,975,
663,018,310,339,171,225,479,199,636,407,933,730,420,447,325,579,194,773,067,
595,619,658,222,996,181,280,361,205,231,566,196,038,396,398,367,746,964,065,
105,642,493,889,203,889,595,137,418,145,838,944,027,050,648,672,224,932,714,
756,091,352,067,678,392,975,030,240,369,293,724,400,190,520,711,006,437,792,
917,620,359,874,005,109,350,329,551,183,215,302,243,462,690,723,177,646,401,
216,514,545,380,406,883,570,889,632,354,638,814,920,498,463,558,561,555,182,
510,302,714,197,264,047,456,033,499,622,374,696,910,025,666,327,494,739,644,
176,658,539,620,496,345,905,148,303,718,160,252,768,921,719,691,575,755,989,
230,543,762,112,953,444,049,029,522,183,011,466,985,481,387,468,114,555,026,
093,232,194,826,925,290,090,780,853,406,040,290,135,857,946,167,755,623,481,
441,385,509,370,158,653,012,275,919,847,913,472,720,926,487,353,404,971,994,
484,439,637,425,050,232,297,071,778,353,646,876,277,669,618,007,077,721,010,
068,856,500,249,178,649,667,449,623,265,098,345,736,341,538,602,500,240,395,
321,788,105,499,180,471,276,551,700,489,936,775,119,036,165,756,752,915,515,
109,072,993,115,864,372,849,606,379,384,903,554,549,987,802,663,921,548,449,
939,032,934,452,526,555,600,286,959,023,959,583,913,860,747,509,413,686,759,
342,236,315,309,747,711,575,592,089,932,628,784,730,918,354,071,732,994,320,
125,081,201,198,404,029,184,286,552,442,473,157,438,117,928,411,016,072,449,
675,307,740,847,415,392,207,848,342,870,086,935,926,710,108,777,879,825,605,
623,130,163,133,486,812,491,415,694,202,593,491,451,125,102,669,563,275,299,
166,808,224,915,406,238,447,986,374,967,392,937,729,587,294,374,434,074,098,
678,678,708,841,549,873,589,325,097,010,038,907,796,310,538,348,360,369,452,
826,260,082,269,541,887,779,529,990,901,741,829,946,902,863,747,307,484,387,
071,524,135,397,590,785,600,725,462,987,897,201,261,560,802,043,668,719,210,
311,262,450,446,748,400,442,782,822,082,927,485,328,540,761,870,304,645,189,
567,546,296,371,819,079,334,341,070,632,255,236,208,437,144,728,897,415,889,
195,814,912,326,640,604,251,234,311,770,580,922,722,182,756,181,020,657,554,
366,748,167,076,139,493,888,457,631,098,925,124,588,665,983,046,330,846,254,
459,948,980,829,844,500,390,761,146,121,520,409,315,669,716,971,986,773,939,
053,465,981,806,291,312,810,993,355,001,420,236,863,003,754,091,407,853,081,
433,829,824,457,813,779,817,551,844,709,596,390,169,689,070,786,046,743,544,
416,671,839,505,546,351,757,325,210,089,629,192,980,551,026,463,306,427,326,
247,726,151,550,312,424,713,000,077,845,139,257,453,060,422,455,484,965,989,
626,082,723,172,201,930,287,167,525,057,761,233,178,548,319,138,751,373,626,
024,957,302,262,909,286,910,507,156,791,800,636,800,896,226,249,086,944,752,
841,969,927,301,174,313,629,739,256,588,091,095,854,323,322,934,838,896,543,
566,939,902,288,778,934,948,081,865,297,679,274,898,199,891,389,322,207,432,
131,908,340,420,755,235,619,580,325,882,400,371,256,796,948,191,753,238,976,
701,415,719,036,046,270,541,338,824,742,976,881,694,296,155,331,509,877,906,
709,375,316,759,044,138,440,316,677,757,954,984,350,939,112,297,176,701,949,
367,495,387,016,102,744,369,093,338,958,889,090,406,434,651,378,063,280,645,
391,150,287,845,823,548,563,961,045,447,143,942,999,209,610,655,219,000,379,
018,849,264,465,032,861,701,756,050,314,953,314,006,929,357,012,790,616,280,
270,664,673,221,591,705,448,307,132,550,918,714,210,633,520,294,667,544,714,
294,411,308,422,931,201,708,757,420,184,109,107,456,864,050,201,961,681,025,
293,293,455,679,109,732,930,185,866,873,551,798,199,797,416,111,231,889,825,
212,328,538,334,933,101,055,478,503,808,441,154,089,332,156,400,625,652,027,
252,567,341,235,076,607,979,987,640,087,443,984,810,967,510,985,752,935,742,
294,067,693,008,253,362,894,838,636,511,283,232,286,511,738,766,113,249,033,
226,038,361,225,127,443,557,642,408,924,462,222,397,571,233,779,102,596,546,
151,891,553,496,375,998,925,718,805,653,911,308,282,433,482,948,972,111,862,
815,527,175,623,051,139,407,399,898,640,099,188,576,084,445,863,581,277,815,
662,020,582,937,448,403,109,491,927,729,258,925,505,890,258,831,175,409,204,
690,230,931,854,385,413,266,465,907,053,833,676,573,278,045,757,686,626,878,
106,838,608,351,342,708,481,730,837,760,063,743,088,408,063,932,263,748,584,
183,830,992,028,941,062,031,880,806,762,747,626,044,868,943,470,185,583,779,
766,271,762,845,367,766,814,563,158,045,817,437,295,190,319,855,133,178,263,
225,321,665,000,339,299,594,026,123,608,188,350,385,468,058,082,136,898,477,
271,454,315,409,120,231,419,908,723,896,277,334,928,090,784,430,691,420,729,
026,991,871,580,930,445,546,317,595,229,401,626,967,054,207,802,465,551,754,
663,014,016,774,972,092,544,961,458,107,357,348,778,154,934,380,648,222,330,
063,645,242,672,779,693,249,636,649,341,919,003,314,436,878,979,610,098,550,
473,935,366,947,923,983,232,244,572,051,514,802,432,370,683,851,472,384,462,
263,092,001,193,706,892,359,425,090,186,829,049,393,964,760,374,555,941,838,
174,161,943,565,399,651,246,320,832,940,466,022,491,260,010,537,985,862,540,
810,457,035,300,799,164,332,198,779,784,351,940,248,129,469,694,431,217,464,
733,738,711,513,107,764,682,696,249,790,578,063,726,900,600,012,863,970,594,
093,624,626,303,448,259,910,616,899,124,024,889,550,600,665,836,829,938,233,
748,367,272,214,395,150,303,740,980,931,333,093,171,528,762,166,357,960,435,
505,551,046,091,758,628,513,717,085,396,209,144,935,303,494,657,216,159,985,
575,142,814,384,903,109,740,056,676,798,480,570,356,285,303,575,529,076,686,
047,423,160,180,945,849,235,870,811,469,320,156,427,583,726,713,854,217,603,
791,579,046,496,681,665,032,958,773,708,238,742,464,200,103,683,172,226,976,
446,868,927,931,163,209,498,911,733,373,146,862,537,209,590,747,455,736,685,
525,398,513,554,095,676,027,398,580,551,127,059,130,622,904,524,507,933,461,
996,528,033,919,123,675,784,492,686,807,006,295,409,871,746,598,272,013,831,
440,649,082,503,673,623,681,597,623,386,662,528,777,169,052,974,780,275,946,
334,612,661,257,152,023,459,513,558,067,519,420,158,363,224,274,494,257,788,
504,499,817,378,345,128,499,174,341,308,739,976,192,317,348,163,820,583,604,
014,579,966,946,941,745,013,889,664,762,193,220,528,042,583,275,350,722,173,
624,854,205,623,813,112,848,906,903,571,458,013,724,711,648,165,854,374,993,
996,468,828,135,894,748,696,015,458,162,442,326,801,926,647,651,110,380,892,
693,325,488,121,853,476,792,893,119,268,067,814,516,420,804,512,505,902,010,
211,883,931,343,089,244,577,752,834,518,810,371,066,791,120,028,887,095,948,
039,508,724,329,325,454,064,326,654,778,914,402,468,779,674,913,284,511,966,
350,514,459,824,038,525,548,790,020,520,418,050,220,936,311,423,982,713,012,
386,218,192,723,828,370,280,118,320,656,613,551,383,938,814,988,561,460,081,
311,670,687,926,776,684,266,147,495,316,228,185,485,121,996,931,830,835,726,
798,518,117,128,315,962,037,959,560,052,256,998,520,535,297,310,926,400,846,
204,958,190,412,985,327,803,631,023,247,665,524,842,086,372,905,259,999,308,
731,300,922,089,891,962,689,493,298,693,292,109,510,261,872,292,456,216,368,
850,705,192,505,815,223,161,836,672,655,806,357,034,614,049,564,971,554,054,
560,144,507,234,505,143,279,194,646,694,006,927,298,240,174,318,429,528,941,
906,578,297,770,964,992,174,674,243,084,950,024,675,093,795,052,154,340,846,
932,256,701,321,393,157,988,222,414,630,571,694,876,330,679,287,689,049,408,
434,241,359,420,256,151,259,594,088,738,761,995,774,241,463,356,569,594,128,
988,857,983,470,276,892,415,701,742,944,731,320,486,908,842,535,519,752,114,
397,994,708,288,897,873,383,467,996,826,735,253,901,861,358,237,950,570,614,
581,443,944,760,847,690,875,225,954,882,963,085,969,194,650,402,237,457,733,
332,684,007,930,747,977,932,245,400,251,164,724,271,245,307,981,930,100,854,
666,250,890,048,629,088,011,888,218,138,233,545,636,045,039,079,125,396,826,
849,525,008,430,021,281,765,378,995,775,164,744,639,826,013,563,075,165,718,
950,376,056,961,727,331,396,399,244,100,843,817,994,369,884,493,648,131,594,
727,837,262,586,391,449,020,312,683,857,649,531,380,279,185,604,626,249,948,
540,319,410,226,843,920,288,260,857,437,937,451,142,702,056,592,484,521,367,
455,349,778,310,753,947,126,739,961,499,950,701,955,406,111,614,137,353,574,
321,885,690,445,558,839,840,102,833,658,802,886,342,344,812,021,931,614,307,
837,570,634,605,405,733,594,106,765,437,555,959,163,062,765,538,757,292,165,
131,018,574,955,257,105,812,740,240,595,436,009,769,592,156,414,358,637,747,
688,160,491,248,883,192,473,343,178,135,931,053,591,965,410,229,650,885,928,
098,734,590,308,945,150,736,288,790,589,008,219,720,475,733,108,767,730,226,
252,332,864,536,596,160,297,645,607,011,139,721,822,601,741,016,961,542,405,
546,472,624,206,728,319,135,292,648,866,936,962,524,920,864,080,113,845,185,
794,555,233,199,869,900,066,397,233,032,902,726,409,339,771,790,352,723,224,
174,783,959,436,069,531,402,493,077,594,360,597,261,586,361,870,402,614,574,
296,340,066,421,335,985,523,831,541,794,101,525,428,709,066,374,282,277,033,
481,147,330,766,730,315,203,754,835,829,679,147,705,170,754,442,012,172,030,
303,656,586,352,159,870,238,295,452,329,019,572,548,327,364,381,269,702,784,
331,906,098,892,641,241,961,168,233,752,587,945,691,875,351,697,074,169,828,
880,027,360,828,014,316,101,359,132,127,841,622,450,282,272,921,556,516,189,
290,125,333,538,700,713,526,795,404,206,470,832,397,897,539,156,544,840,564,
376,178,827,112,106,403,462,472,418,041,610,789,492,515,125,180,617,847,097,
434,522,598,911,916,197,140,240,089,663,032,412,589,128,954,795,222,683,234,
269,001,305,261,935,973,166,918,551,352,706,615,124,173,518,311,933,662,217,
680,870,014,598,829,042,500,708,224,102,152,737,364,652,206,334,749,032,322,
604,415,639,121,590,935,629,735,953,103,807,345,771,694,735,943,798,045,859,
475,277,576,782,130,993,679,282,396,300,216,517,103,998,100,994,571,214,031,
264,468,855,921,356,332,474,170,844,226,424,549,908,547,582,111,266,162,962,
186,284,904,875,626,085,275,097,755,641,427,059,368,632,734,979,283,319,340,
608,841,988,416,715,005,195,998,124,157,401,560,977,134,591,141,212,918,503,
561,490,375,558,843,663,941,018,517,190,722,391,539,542,702,131,484,800,422,
734,795,312,935,281,416,020,256,841,569,912,472,996,939,243,141,237,214,802,
963,949,135,901,030,344,654,257,885,883,356,718,691,728,618,420,460,851,557,
263,296,350,911,721,176,562,348,760,995,908,028,052,017,070,526,167,940,370,
330,932,553,034,969,036,158,559,295,010,515,590,192,069,559,725,689,129,700,
968,492,838,187,556,756,620,874,564,763,181,208,465,463,649,068,099,323,367,
299,317,830,675,629,335,095,935,497,511,118,917,177,596,236,746,735,170,143,
337,458,680,570,088,547,679,312,999,962,887,460,264,299,444,285,347,858,778,
394,450,038,949,811,435,531,718,365,627,119,015,158,899,551,020,255,238,557,
023,358,491,476,675,094,778,500,924,612,360,805,217,068,881,403,362,006,365,
316,541,741,663,581,440,911,030,848,490,528,875,690,853,472,325,548,121,888,
583,865,160,991,358,923,740,958,534,599,797,608,784,975,407,089,587,405,001,
501,198,961,850,852,086,676,578,788,837,800,311,506,160,011,591,540,141,269,
958,948,920,833,570,148,279,454,123,846,190,392,413,850,086,779,943,392,296,
526,773,706,730,618,976,997,228,794,095,839,281,939,614,217,427,379,376,198,
627,475,484,076,564,135,851,032,916,484,388,740,534,349,957,623,734,433,143,
223,248,379,977,977,609,559,445,215,501,668,718,175,315,793,605,953,803,842,
731,610,991,027,882,704,056,103,196,438,617,361,055,020,783,870,619,867,578,
102,710,151,457,587,152,215,931,088,249,489,463,000,991,769,740,106,254,373,
387,525,690,610,052,176,142,157,045,979,866,228,000,905,552,179,745,766,050,
871,901,211,161,066,059,018,666,863,814,904,927,625,470,763,584,300,535,462,
802,828,458,585,552,760,832,266,969,159,445,878,445,084,289,055,550,166,282,
914,165,333,888,018,862,197,074,102,583,738,981,327,329,849,656,294,278,050,
816,298,688,990,859,954,372,704,605,453,882,884,912,485,968,298,217,821,684,
134,067,473,215,420,107,668,183,795,060,609,866,468,568,513,276,730,221,998,
290,983,029,112,575,584,236,266,444,888,162,794,949,150,791,302,300,030,504,
273,911,601,770,756,219,372,239,957,988,273,308,221,695,323,933,873,234,967,
793,645,195,691,606,981,169,169,284,966,932,675,260,629,385,572,811,345,005,
898,169,584,488,447,620,142,745,963,474,528,176,443,639,374,242,218,311,555,
849,587,495,206,562,681,665,706,689,270,712,583,226,439,941,205,597,763,755,
366,683,165,468,651,565,435,912,709,692,926,281,211,207,221,029,061,962,562,
953,206,520,888,115,438,304,396,443,240,338,796,341,795,350,481,385,012,347,
281,535,285,962,110,272,276,146,830,060,791,192,997,413,039,216,019,078,383,
246,012,238,574,395,385,974,853,238,974,330,845,939,932,881,319,401,252,335,
379,604,717,416,722,326,679,272,668,747,410,621,743,986,512,568,128,977,491,
538,246,597,050,472,928,624,632,532,960,801,633,235,798,821,454,802,487,311,
819,086,644,350,173,884,363,807,416,797,014,515,150,551,476,420,608,882,993,
198,468,548,146,508,373,538,341,044,537,462,874,803,359,352,649,830,298,403,
149,644,414,556,667,906,688,306,473,618,659,135,887,281,939,285,993,821,794,
676,182,114,522,495,780,806,762,025,280,501,862,882,022,297,143,874,093,896,
015,078,607,190,745,744,058,944,807,462,429,982,020,670,813,475,866,366,450,
429,304,702,316,093,177,428,732,741,814,227,866,643,515,106,829,984,436,903,
428,984,861,550,903,256,582,550,034,149,430,637,389,668,105,035,601,773,646,
142,176,570,825,667,930,982,071,193,111,422,805,329,775,004,215,451,449,944,
231,134,595,317,499,146,380,688,028,968,467,067,294,703,249,982,335,117,634,
021,315,326,744,892,859,208,679,056,325,744,743,447,302,291,587,202,885,529,
380,767,562,396,701,617,103,050,948,185,319,276,760,458,755,733,919,082,027,
217,525,115,583,051,329,242,065,381,445,894,924,952,480,101,499,686,498,666,
470,892,046,400,645,511,861,316,517,724,588,687,790,993,432,494,829,928,452,
966,421,369,277,199,919,296,180,518,948,538,796,886,943,284,442,883,039,468,
445,720,404,436,979,921,366,444,122,645,006,081,318,477,416,410,356,213,793,
240,481,752,930,215,968,283,656,897,750,887,279,813,233,898,712,364,124,830,
942,716,688,703,105,421,887,334,183,192,088,632,021,499,314,123,979,786,237,
506,700,093,463,787,432,129,198,561,288,255,462,396,093,809,371,556,067,451,
340,504,552,373,025,231,377,211,727,196,548,850,349,677,017,350,029,659,721,
849,759,725,973,365,547,586,976,436,465,512,006,612,279,678,044,114,562,803,
559,195,762,380,129,561,859,068,126,115,914,648,201,491,861,323,595,848,532,
358,629,782,741,455,124,884,853,819,076,105,704,497,104,235,806,421,741,190,
690,896,108,165,125,543,652,382,229,859,263,255,595,373,447,401,320,687,818,
961,157,719,433,919,588,853,362,694,952,690,120,642,821,355,921,876,565,143,
646,154,367,122,769,770,564,688,963,216,616,360,170,382,675,355,477,766,000,
666,328,281,558,216,648,494,153,806,313,807,087,551,365,465,062,988,410,764,
968,454,905,147,536,826,686,551,510,977,591,957,455,313,922,121,669,326,355,
366,533,803,363,415,564,908,624,508,152,220,041,325,378,881,608,857,856,877,
768,861,750,532,853,055,626,439,579,022,634,849,057,996,582,352,605,706,609,
674,098,454,015,794,782,319,728,298,454,835,811,796,994,583,712,632,494,543,
698,703,709,263,449,507,938,924,964,400,034,608,481,709,930,171,446,592,803,
388,895,173,823,548,120,953,298,391,226,972,663,635,897,510,400,004,958,942,
500,509,075,880,413,343,807,592,057,438,390,307,166,593,950,198,832,497,395,
437,279,979,314,375,948,391,024,745,978,941,105,283,020,434,151,752,900,972,
574,133,545,059,056,508,837,310,828,293,323,061,248,476,353,870,226,831,493,
390,383,190,027,227,307,941,202,220,628,308,476,804,915,541,864,441,599,475,
526,925,477,919,711,301,512,510,921,304,342,491,356,678,429,913,039,316,620,
570,617,610,783,816,877,150,316,192,362,622,568,260,079,199,763,830,889,854,
156,806,356,819,430,366,915,316,802,145,516,829,959,193,162,145,445,796,319,
404,505,912,058,747,788,242,847,133,186,142,856,305,064,558,029,099,169,564,
245,069,793,261,941,006,456,768,619,654,738,714,114,236,847,286,836,924,430,
161,826,309,771,876,561,625,512,185,882,351,315,057,695,541,609,403,630,688,
316,014,440,751,529,445,018,108,482,098,936,364,113,288,502,293,079,817,410,
304,978,121,782,785,077,314,891,458,708,544,141,648,701,122,411,704,163,850,
443,399,220,726,534,897,901,529,867,540,591,613,408,479,039,593,097,122,800,
849,195,347,527,143,450,840,191,167,940,984,209,121,712,561,750,052,784,429,
058,750,632,688,120,999,267,541,052,182,425,249,538,104,580,932,274,678,155,
418,259,154,605,865,565,006,452,274,988,029,659,834,800,984,800,230,552,109,
831,006,988,340,309,840,681,719,699,027,987,752,684,192,967,427,232,481,263,
475,086,266,186,344,835,905,864,525,256,066,151,010,813,335,136,087,080,296,
489,597,366,924,629,452,943,614,525,667,383,860,106,041,559,077,993,550,723,
086,049,583,875,810,638,912,659,550,121,777,653,155,767,701,965,002,374,499,
798,813,633,845,815,796,682,670,904,948,814,898,148,385,423,115,922,796,438,
962,313,405,533,065,824,726,202,180,002,540,554,464,561,472,643,420,401,598,
139,818,156,725,231,335,814,514,817,421,936,785,453,916,402,916,473,724,258,
944,249,729,317,741,061,369,725,750,533,320,228,517,283,874,131,078,807,585,
929,441,446,348,199,735,734,446,490,241,279,004,757,824,901,878,315,141,630,
463,448,328,016,728,032,507,597,345,261,377,078,432,328,048,815,788,687,695,
082,091,607,499,840,360,815,283,613,947,285,896,922,890,073,853,824,389,464,
024,125,348,317,977,261,915,368,567,441,930,969,687,223,646,417,619,955,567,
063,420,975,316,453,299,648,574,598,010,884,381,858,031,710,952,636,175,723,
162,896,148,868,196,212,677,104,548,267,524,048,360,602,059,417,005,371,057,
817,366,866,112,273,604,641,095,638,574,365,640,180,276,655,336,644,460,036,
752,838,712,279,057,412,825,438,838,027,543,923,131,965,278,257,682,381,244,
053,694,941,088,036,904,878,367,244,355,480,878,248,538,532,477,965,795,368,
525,576,656,214,259,032,254,287,377,940,619,143,941,629,596,918,389,950,836,
218,692,937,621,729,431,271,216,677,689,915,039,511,178,563,685,810,814,145,
817,488,688,252,650,911,628,807,649,743,738,123,930,203,564,288,013,108,502,
062,679,870,704,130,827,291,014,856,622,965,412,411,327,749,444,987,859,772,
074,940,545,856,857,321,837,733,337,655,233,284,178,525,335,844,433,609,303,
876,133,265,363,435,087,640,488,228,191,915,337,805,393,244,890,744,479,699,
921,581,113,597,629,141,182,325,247,855,412,589,205,989,863,171,913,938,296,
799,406,663,527,802,327,884,747,925,434,305,112,316,910,755,568,513,810,383,
440,276,054,121,977,582,508,420,647,172,868,343,008,613,752,877,058,637,394,
451,693,296,987,466,017,043,234,392,897,033,266,886,330,956,652,912,407,245,
152,937,940,725,024,828,209,033,063,970,262,589,474,916,018,690,966,741,312,
072,468,630,893,658,463,190,991,794,155,234,565,317,734,706,766,184,301,782,
520,276,335,395,850,299,048,355,909,408,430,148,112,201,195,503,536,668,127,
071,514,966,579,102,452,482,385,792,186,272,014,189,449,784,747,816,061,511,
436,553,058,185,592,065,174,553,648,665,148,913,584,561,440,366,653,819,604,
147,112,063,348,531,195,895,133,590,277,127,675,135,765,894,777,459,765,193,
706,889,605,417,051,575,900,077,099,840,375,474,518,372,764,391,070,256,646,
385,894,179,793,020,346,181,011,111,334,568,854,204,812,313,080,206,853,128,
314,317,960,703,222,530,304,993,810,712,275,329,591,314,856,087,972,776,664,
587,611,558,924,097,801,922,083,572,161,197,767,936,609,815,121,438,100,883,
315,147,235,435,764,232,833,278,638,602,544,677,686,511,474,350,339,473,230,
440,417,630,762,660,802,652,373,865,195,466,905,456,957,979,746,536,879,928,
720,665,505,230,053,932,879,457,560,943,091,580,919,283,303,343,881,433,234,
231,829,671,618,361,577,442,108,393,163,266,823,223,158,959,139,883,934,595,
091,456,340,162,428,560,785,241,175,103,257,940,415,668,757,536,240,937,885,
045,376,052,545,979,484,465,670,135,650,960,306,086,546,345,085,267,409,919,
349,254,024,952,859,427,614,418,156,119,105,017,367,198,192,182,574,702,616,
157,543,914,094,778,540,718,755,957,330,927,963,368,863,047,554,460,775,835,
235,402,628,861,603,854,108,993,492,357,075,768,387,463,615,088,108,468,422,
045,133,647,032,233,431,872,629,274,200,749,430,579,974,444,326,247,329,694,
266,309,833,612,966,258,505,662,364,881,166,559,373,073,051,602,351,993,713,
760,291,714,836,034,980,449,492,087,848,181,247,260,222,880,964,273,950,845,
336,488,928,527,931,755,224,478,867,983,055,798,890,753,885,342,329,814,062,
283,209,256,877,791,108,137,092,309,595,411,993,565,641,898,403,335,736,344,
902,965,119,554,502,148,135,991,626,908,938,356,583,594,141,584,706,344,462,
461,684,383,148,733,720,647,109,210,683,254,720,028,322,501,364,387,780,745,
149,591,145,803,221,934,128,631,987,144,003,935,924,213,937,176,761,609,201,
006,003,970,687,883,869,582,093,770,797,618,435,558,923,471,654,204,346,683,
076,484,436,281,865,108,526,233,673,094,013,432,749,471,025,465,567,227,277,
612,961,297,899,199,772,325,347,920,612,396,366,547,506,631,187,253,010,524,
886,408,947,221,155,468,005,688,032,987,565,517,441,462,252,134,343,976,435,
212,342,368,955,053,904,316,541,548,792,744,121,084,597,299,191,822,807,561,
127,821,923,512,236,271,051,098,309,978,678,950,678,761,754,739,550,106,016,
028,698,218,690,943,990,086,672,849,225,359,807,312,532,086,991,778,821,270,
142,259,537,546,108,841,082,165,255,045,880,105,450,698,029,405,326,770,524,
495,575,120,406,117,689,888,663,584,314,441,090,490,252,388,028,924,179,964,
105,511,236,904,477,575,256,477,575,425,715,834,813,867,932,235,694,478,123,
316,347,538,169,267,981,224,413,436,533,648,813,544,747,437,682,424,801,577,
434,706,816,167,769,330,171,892,596,540,743,005,131,213,702,260,721,099,061,
219,862,664,641,390,010,750,671,093,262,743,092,035,223,972,777,976,611,578,
276,848,447,112,499,865,665,191,913,760,389,106,965,884,289,085,587,641,516,
023,296,755,568,867,611,745,039,079,790,117,707,058,427,026,512,763,066,181,
085,644,343,175,620,907,467,831,716,928,101,509,506,072,031,450,044,951,460,
236,843,812,024,822,743,541,141,165,476,101,638,287,235,130,756,292,787,166,
337,455,941,185,569,554,152,461,531,682,476,395,015,680,193,682,908,135,663,
922,181,280,850,350,263,417,537,484,613,057,089,983,933,478,800,493,839,769,
318,205,433,938,803,779,671,031,662,947,167,829,715,949,406,002,361,955,244,
509,000,710,321,007,804,393,170,748,574,052,405,556,026,802,606,272,450,843,
489,964,600,736,603,727,439,377,266,211,624,576,018,798,124,044,176,144,404,
680,803,357,959,828,805,130,056,836,783,642,664,984,671,435,973,822,169,026,
870,177,718,867,381,334,378,137,196,046,785,062,096,544,662,602,657,320,460,
511,481,382,008,621,244,493,683,015,084,818,963,632,186,239,950,149,954,561,
740,280,721,242,844,336,037,298,808,444,751,801,424,989,294,549,447,716,313,
469,694,956,403,506,243,314,096,017,793,600,484,593,697,090,494,374,356,212,
860,517,544,519,335,631,635,280,136,913,228,996,767,660,344,919,998,111,211,
154,929,306,348,123,411,312,028,343,104,637,243,152,394,385,381,633,980,353,
760,017,133,545,678,047,734,216,136,480,159,380,443,325,340,813,721,959,259,
401,221,658,133,587,897,773,164,531,071,618,750,847,764,540,194,519,377,026,
211,874,302,610,645,685,918,285,752,120,647,212,906,799,200,138,995,721,652,
075,467,156,406,966,817,177,620,989,600,805,640,084,251,403,770,435,240,382,
562,342,386,969,163,132,306,140,321,966,401,934,065,883,799,751,448,429,979,
612,509,730,026,328,970,065,938,408,902,357,161,979,695,262,454,940,778,407,
583,483,872,690,651,291,296,399,619,841,218,910,652,068,923,402,569,329,039,
760,938,160,089,902,397,611,593,586,289,380,427,255,750,710,004,481,306,872,
930,132,362,064,081,474,328,879,713,741,412,785,805,168,110,373,935,750,480,
818,277,461,645,629,831,425,430,806,374,501,183,199,780,756,479,177,057,522,
564,192,679,183,634,635,845,884,121,062,318,725,017,942,007,289,572,702,295,
996,286,962,018,830,637,393,006,527,031,728,056,045,799,708,258,737,880,783,
023,319,480,770,448,391,552,786,965,530,419,854,085,692,058,084,065,171,427,
934,893,717,429,692,501,306,938,193,685,266,938,506,872,611,289,617,175,847,
391,283,183,892,663,721,457,548,322,183,580,475,627,387,114,837,829,997,472,
384,559,474,848,299,011,923,283,825,935,090,710,528,079,701,405,749,879,115,
138,264,565,707,045,206,785,464,201,462,746,114,774,579,174,583,195,537,686,
584,386,452,448,948,099,843,541,617,120,992,553,720,667,075,901,492,804,430,
472,210,297,071,914,354,493,465,148,264,545,231,805,575,672,669,479,879,632,
996,894,579,183,172,271,968,459,974,849,510,064,874,028,553,973,488,663,848,
332,090,504,240,108,632,625,227,342,817,878,651,535,550,775,036,824,593,726,
065,404,184,884,230,710,289,343,579,809,281,647,677,479,673,217,129,585,897,
939,262,600,535,095,892,436,767,902,660,272,845,415,985,395,601,245,552,024,
454,437,172,331,005,521,518,141,934,226,348,246,914,433,443,076,613,543,473,
977,431,339,663,888,351,103,918,185,578,773,948,517,903,345,863,806,888,010,
969,787,315,359,187,422,689,745,514,966,605,096,368,195,123,211,367,206,610,
396,100,869,993,642,289,611,419,936,568,348,541,940,581,368,426,982,560,521,
590,683,531,025,258,731,802,373,554,555,635,270,232,366,334,605,928,551,537,
154,959,384,659,042,092,801,208,922,197,018,571,070,539,663,890,460,132,565,
363,080,271,937,120,398,755,725,867,948,970,821,682,007,800,986,952,931,018,
310,619,764,689,827,735,004,344,762,027,695,092,577,208,873,965,861,280,713,
271,233,046,405,118,917,148,506,238,873,164,158,761,533,833,345,155,338,813,
776,100,018,181,584,037,827,526,775,332,319,763,408,380,068,327,593,409,563,
302,804,873,409,007,399,701,724,330,515,832,590,899,606,490,492,606,683,161,
617,006,268,299,288,608,136,820,824,792,457,630,224,091,081,994,531,172,387,
215,076,117,325,136,376,485,878,465,971,762,141,084,264,047,928,918,201,365,
708,009,398,522,000,367,163,522,825,994,900,999,661,833,413,306,283,215,616,
860,103,415,381,456,050,921,407,198,564,320,877,058,811,577,063,577,269,639,
691,634,313,968,317,610,044,993,510,360,100,463,735,641,660,818,103,507,694,
745,276,154,309,501,228,131,532,382,168,805,445,932,725,321,976,720,578,261,
838,389,787,519,106,745,289,107,823,353,367,161,785,483,288,211,696,128,348,
973,131,592,005,310,881,757,471,082,723,582,611,093,178,678,128,710,886,744,
721,171,801,627,909,010,079,376,647,070,321,305,674,608,455,862,921,850,181,
091,976,464,846,462,917,534,418,222,110,151,939,529,159,899,534,267,170,062,
978,629,093,438,769,695,707,188,267,907,846,264,621,427,551,947,319,796,394,
155,210,558,691,637,719,219,346,589,003,900,229,515,197,635,772,360,047,556,
591,388,106,267,413,331,291,093,544,708,461,263,409,312,418,437,621,187,030,
928,747,938,963,345,678,437,362,222,328,282,534,139,609,337,357,282,765,809,
085,701,857,540,762,040,770,444,931,327,555,024,631,986,894,400,187,394,699,
857,109,776,571,089,177,709,705,132,212,397,760,620,489,383,730,682,848,875,
515,469,722,091,904,651,712,212,621,244,887,598,859,289,865,291,743,230,802,
471,387,853,472,368,362,177,411,737,753,514,841,540,592,692,929,985,814,524,
356,265,824,237,676,157,626,575,417,224,538,248,636,358,784,168,766,089,782,
582,168,422,516,186,408,083,927,894,629,498,305,339,106,691,436,919,604,664,
176,463,044,275,134,406,249,878,782,969,695,255,833,576,560,853,949,537,199,
367,100,875,304,721,719,625,685,768,596,475,284,344,859,235,127,924,561,661,
893,585,948,410,606,574,737,696,974,857,419,393,630,179,588,680,293,522,580,
366,344,692,835,768,953,407,372,160,220,477,638,642,327,343,873,077,270,327,
164,222,263,452,919,668,691,041,719,517,733,814,276,669,769,093,921,988,830,
030,172,187,165,348,313,433,345,427,832,503,950,019,367,713,126,212,665,085,
270,942,042,818,237,467,511,048,577,068,680,215,136,895,491,060,135,488,982,
636,677,048,210,241,431,641,288,788,280,659,680,077,101,164,643,577,768,883,
451,068,978,346,689,563,210,614,239,558,612,555,801,375,072,674,039,588,822,
457,537,422,143,913,292,097,438,329,454,563,297,030,890,154,410,687,609,854,
108,792,046,277,888,682,571,603,124,774,397,638,227,127,258,260,371,744,468,
235,697,590,711,175,799,811,733,982,576,967,388,852,053,479,846,351,318,025,
052,324,536,729,878,280,952,575,574,078,177,579,552,587,005,446,676,078,696,
708,855,677,573,692,666,669,792,640,161,167,695,771,364,563,673,967,902,387,
594,302,478,610,054,412,771,268,556,581,057,869,254,981,966,314,731,274,315,
318,311,001,292,710,192,070,920,252,486,448,734,754,950,686,162,755,234,625,
937,691,486,879,601,078,872,452,053,512,283,362,499,568,584,398,803,943,538,
382,446,850,178,372,130,067,148,260,089,422,081,123,648,785,182,861,376,285,
566,047,856,833,389,641,657,753,314,110,663,220,733,140,804,092,413,045,712,
506,982,353,693,231,982,999,354,268,274,597,427,035,717,907,658,279,679,531,
476,935,461,197,893,718,142,379,137,545,181,889,309,351,832,889,263,212,540,
281,874,822,043,879,670,538,270,146,951,145,282,575,478,216,219,085,377,619,
109,847,099,671,163,310,379,612,599,026,299,315,862,750,127,873,066,943,519,
306,586,569,612,339,262,581,820,825,806,380,219,589,509,619,361,981,845,093,
813,558,496,024,976,063,030,701,191,693,784,699,074,665,313,550,600,665,815,
461,558,185,222,474,696,398,883,876,607,678,211,605,573,548,838,163,654,787,
965,254,575,283,171,976,580,494,141,053,090,469,166,091,053,402,490,254,389,
089,374,172,728,447,790,257,505,377,233,624,128,485,290,626,892,879,879,597,
022,866,388,301,190,991,390,444,649,020,816,410,720,268,390,404,691,682,065,
155,082,133,650,650,457,634,495,633,528,386,229,894,444,836,973,808,545,160,
071,762,418,532,312,407,309,403,108,944,757,427,949,607,904,068,952,033,294,
096,625,417,176,671,613,564,660,470,278,769,746,122,977,990,173,209,136,216,
652,459,340,325,501,625,456,523,953,306,009,013,053,232,655,411,533,112,647,
073,564,481,485,124,746,080,449,481,233,447,376,761,959,960,376,361,576,465,
313,113,009,789,519,230,321,220,561,149,196,677,945,765,106,151,825,100,112,
172,969,858,303,322,467,473,094,283,114,355,013,098,665,623,271,618,055,409,
524,063,536,255,049,405,398,058,034,850,064,110,414,942,085,942,135,396,174,
930,277,313,290,081,638,824,556,275,159,393,663,810,724,760,586,389,262,047,
448,547,091,820,907,544,799,179,061,866,103,586,837,294,988,152,613,045,217,
718,635,222,414,676,923,039,711,061,223,330,972,289,939,517,096,660,008,046,
024,901,100,131,033,105,626,130,203,098,890,177,033,161,259,978,627,669,913,
872,659,077,371,309,808,296,125,709,832,186,971,123,829,384,862,883,825,395,
515,382,917,870,777,684,582,885,251,092,098,445,016,823,949,310,012,246,935,
595,579,069,552,283,145,692,724,930,613,676,202,168,898,026,642,769,938,080,
196,794,815,682,439,173,283,759,930,992,784,123,030,568,835,096,369,927,789,
647,565,854,646,830,460,748,914,748,751,227,604,139,998,042,836,317,742,487,
406,069,547,477,453,293,258,223,848,995,710,283,632,122,583,179,472,561,856,
471,464,876,408,335,260,913,299,805,910,529,778,367,739,830,030,856,543,608,
310,567,775,004,120,329,411,811,865,617,563,893,155,203,584,610,371,531,206,
063,785,382,337,249,011,616,412,410,476,536,655,007,669,849,408,988,429,055,
243,933,832,537,874,961,576,676,907,606,783,003,280,836,377,100,684,968,009,
637,979,585,991,861,256,971,682,857,526,430,931,627,113,177,709,920,005,956,
488,623,213,081,141,690,418,911,207,945,849,446,322,216,761,351,199,808,854,
015,995,718,571,805,915,632,125,059,256,282,577,504,623,368,688,420,071,032,
932,343,389,419,009,605,192,574,401,910,456,712,620,390,645,993,360,235,914,
241,098,226,144,292,959,419,148,020,694,663,682,168,469,081,385,550,857,077,
978,769,847,393,236,338,347,494,220,926,895,440,465,191,093,456,348,711,767,
169,568,686,825,819,989,940,233,050,176,304,308,057,504,099,081,924,368,713,
122,561,214,115,724,029,494,583,150,924,490,583,668,806,903,053,024,435,026,
378,505,544,216,608,543,807,516,307,991,659,058,050,894,335,779,284,287,425,
891,511,731,325,648,184,855,031,295,390,087,244,041,177,155,108,290,903,111,
897,239,428,381,728,363,909,144,291,538,374,176,924,816,796,256,103,734,542,
033,037,248,441,221,882,269,286,752,484,589,317,621,539,258,470,332,199,562,
153,447,095,817,318,838,962,204,217,668,769,649,828,167,723,505,454,696,627,
911,932,626,537,917,127,400,513,406,975,689,032,857,952,497,840,827,160,877,
979,813,636,185,075,526,202,287,452,886,187,495,164,370,059,323,519,464,729,
584,881,770,160,300,265,016,924,073,005,207,391,616,013,039,952,897,229,160,
279,520,450,490,836,013,508,638,008,965,181,851,406,017,103,742,304,599,252,
709,823,966,713,597,440,751,406,736,754,694,192,669,240,549,637,597,703,197,
258,383,258,175,365,263,171,864,002,818,909,885,354,998,714,837,190,120,405,
030,747,303,556,405,598,926,116,853,241,758,092,719,056,015,233,107,822,124,
139,840,285,044,501,984,130,061,555,655,994,410,709,409,075,112,625,956,885,
616,439,147,359,077,597,517,079,972,410,141,736,605,357,776,282,142,400,873,
849,097,426,663,869,192,074,500,427,661,388,177,139,859,232,818,311,133,363,
414,273,137,684,174,193,547,189,433,624,882,397,550,004,050,553,205,941,493,
100,964,254,624,673,207,136,539,742,127,227,135,373,517,214,574,640,059,466,
337,956,602,686,243,833,400,150,538,757,365,794,358,159,951,170,814,213,570,
614,532,073,039,455,948,002,703,880,766,403,783,256,314,354,526,081,713,498,
850,069,758,257,781,982,799,545,714,109,303,831,713,944,140,717,120,700,540,
515,460,942,249,094,341,162,019,611,958,925,495,092,568,901,514,292,985,962,
378,721,117,632,730,288,192,584,803,594,468,240,052,671,179,572,404,526,073,
963,571,319,641,152,990,628,377,810,375,317,152,537,479,552,198,681,367,162,
710,122,724,259,670,194,186,817,336,518,723,866,977,262,929,693,604,077,719,
723,468,048,529,121,673,983,539,831,671,350,833,811,807,037,055,999,961,089,
149,884,814,336,676,729,248,501,041,763,207,099,982,185,880,488,849,076,616,
678,969,603,604,982,450,954,869,315,375,769,372,151,460,876,410,335,321,527,
044,211,412,618,301,278,437,569,541,795,957,141,817,579,320,688,231,973,446,
879,712,764,492,857,259,445,727,270,595,392,875,477,064,850,335,754,664,107,
457,435,462,767,508,031,811,580,375,995,017,024,616,392,321,902,648,930,780,
854,804,105,037,096,478,823,010,223,179,992,178,528,015,183,952,615,799,064,
868,214,486,161,468,301,430,118,938,682,765,008,499,372,738,720,149,691,877,
535,497,448,802,919,502,378,533,482,068,795,920,462,592,553,735,194,971,364,
863,089,969,442,681,559,412,439,144,892,121,935,246,855,697,144,412,004,770,
435,631,622,963,895,558,237,221,774,232,430,837,117,205,243,094,488,130,152,
285,122,233,476,440,529,936,094,338,390,254,786,583,873,336,454,543,939,072,
692,187,850,059,238,991,027,854,572,989,246,314,281,629,702,195,430,845,981,
461,831,082,232,444,272,113,384,566,280,079,112,246,528,136,452,971,817,863,
714,984,491,002,818,466,496,427,608,330,697,448,745,959,842,993,982,487,116,
919,432,940,703,452,259,080,459,160,858,651,888,771,659,937,647,043,072,247,
969,818,862,356,563,878,406,933,929,033,406,075,081,689,705,669,966,398,150,
634,840,691,629,354,986,466,776,157,562,107,344,506,513,501,897,004,577,679,
421,343,021,796,402,265,508,175,096,010,970,830,904,862,761,917,280,004,741,
548,880,450,435,990,854,338,643,772,200,932,794,964,646,163,513,290,260,337,
990,862,992,111,146,406,930,571,251,155,734,083,296,295,463,213,100,576,216,
484,921,207,748,666,966,283,408,613,514,658,361,687,704,435,653,349,932,419,
239,324,318,490,723,230,508,509,459,053,196,190,087,176,152,628,618,731,845,
744,706,222,074,816,739,442,433,644,036,229,127,638,815,527,245,744,303,072,
591,719,734,465,576,258,380,727,705,893,409,781,437,008,437,680,347,778,239,
496,712,891,409,808,843,920,478,025,853,839,310,988,015,263,941,770,167,387,
984,475,745,899,453,408,681,612,029,269,223,824,175,579,471,521,398,726,023,
318,399,960,523,637,343,629,267,755,526,212,058,680,363,813,535,496,164,654,
857,108,629,441,823,487,991,745,496,106,252,339,627,352,922,830,028,593,753,
054,296,434,820,905,859,924,876,348,228,927,432,726,357,822,695,771,465,646,
101,606,609,133,386,314,666,455,833,535,202,648,990,690,019,821,221,874,420,
300,933,064,777,152,389,824,149,270,010,872,931,197,809,556,999,703,170,009,
776,272,191,173,517,952,797,068,201,844,307,757,312,725,531,830,342,804,241,
094,183,040,656,777,114,736,565,307,058,304,554,340,281,626,605,564,750,623,
298,474,678,913,667,582,345,457,717,777,076,293,311,803,395,927,517,228,864,
807,385,419,918,682,485,384,914,371,258,390,685,958,486,205,128,697,602,288,
903,637,940,441,420,888,409,666,911,878,994,313,260,402,991,736,970,987,703,
647,924,086,055,554,508,010,405,091,674,283,026,113,262,026,540,530,769,302,
995,780,244,702,517,176,779,824,144,255,261,340,512,328,506,376,717,129,726,
250,599,998,498,903,926,633,345,080,513,993,795,110,105,962,728,016,557,189,
273,755,860,266,192,182,298,335,178,262,400,121,874,259,005,432,813,145,695,
551,337,314,794,442,812,138,245,461,329,209,908,586,322,853,347,803,342,783,
412,544,041,868,471,966,536,867,086,384,930,897,139,814,039,799,347,175,652,
971,329,583,754,411,428,082,939,087,417,752,657,397,228,170,119,931,809,520,
120,480,471,117,893,446,992,151,202,070,141,570,919,601,443,455,220,256,972,
334,120,786,166,518,953,222,758,416,268,395,489,479,778,385,353,966,257,376,
957,820,025,171,890,349,823,168,235,538,622,925,894,189,273,743,901,869,322,
203,254,239,950,487,864,361,814,975,769,432,914,426,888,644,357,700,491,741,
714,423,544,122,178,802,052,858,209,340,775,291,245,303,424,968,488,647,480,
244,607,423,344,720,797,259,975,828,437,694,142,348,709,119,715,602,769,701,
485,335,596,036,067,958,281,678,195,193,682,711,012,328,358,360,079,598,034,
887,640,927,854,820,034,087,065,582,024,302,866,270,183,640,391,400,346,428,
956,017,068,896,580,543,730,405,503,038,655,230,149,416,823,439,463,241,114,
455,866,952,888,468,811,852,587,163,423,359,265,704,942,002,893,658,269,526,
220,578,928,865,834,844,614,887,389,213,446,390,884,602,358,260,168,725,031,
306,770,914,322,876,123,505,611,435,046,423,921,867,975,775,832,456,138,105,
434,600,648,871,188,727,872,571,239,123,104,318,426,552,511,928,952,049,183,
214,396,977,168,327,048,960,882,337,978,165,068,031,965,932,513,792,024,389,
902,289,739,183,803,021,406,192,166,914,531,894,799,254,894,778,623,546,103,
219,943,244,059,117,236,298,988,926,178,868,242,676,331,698,643,052,849,686,
951,247,210,070,311,609,637,093,272,699,627,664,027,311,472,510,604,000,982,
013,287,041,191,990,891,688,196,657,097,941,175,116,983,823,347,705,081,744,
563,381,502,846,226,873,088,298,183,060,453,129,729,301,919,625,031,703,443,
237,318,812,162,253,996,967,465,090,015,023,144,272,639,599,851,854,292,951,
339,071,116,120,482,548,896,056,296,976,180,004,373,223,193,439,371,496,393,
400,479,005,777,910,408,423,448,781,941,172,488,124,482,360,184,273,934,702,
319,577,249,294,066,225,217,025,541,632,883,126,413,809,587,433,674,458,839,
861,990,455,163,579,477,907,018,143,948,880,983,330,330,061,404,038,178,392,
640,797,007,487,852,884,745,061,519,940,522,583,514,753,354,826,703,412,312,
392,602,039,400,716,409,940,927,334,350,807,800,817,454,997,619,786,831,698,
628,422,501,187,415,369,732,586,086,374,180,096,448,645,760,773,333,709,415,
802,433,879,055,909,605,090,992,372,342,406,516,622,119,045,802,248,812,730,
589,080,667,755,168,252,777,977,080,243,546,332,166,153,043,472,524,729,620,
201,784,608,814,117,866,118,401,009,437,670,527,075,168,276,153,766,654,519,
848,763,105,150,639,085,401,257,726,510,119,031,462,853,986,000,393,216,595,
225,497,673,080,046,959,736,875,176,774,871,700,941,932,532,065,228,428,890,
114,122,985,806,015,986,096,224,274,143,021,593,681,603,106,521,905,046,942,
683,319,785,575,498,266,656,141,200,127,226,237,456,081,886,254,485,937,136,
606,074,967,108,781,512,242,558,959,651,729,911,443,757,543,952,624,982,434,
394,148,378,818,057,288,119,966,475,044,570,894,128,503,855,861,061,076,339,
390,964,529,955,912,419,268,695,623,343,149,108,488,750,588,647,285,979,829,
872,271,694,348,684,192,564,109,736,133,297,673,888,101,252,187,857,209,633,
564,092,604,988,312,480,216,445,841,770,430,892,040,137,061,096,952,045,482,
526,847,304,635,251,568,545,860,624,039,960,735,349,817,479,497,714,709,539,
706,952,211,216,491,254,722,110,908,770,108,366,526,635,236,462,300,138,091,
891,881,248,609,532,686,871,920,435,996,981,060,396,704,188,379,987,966,390,
270,704,838,779,385,165,481,341,123,972,770,833,153,007,231,023,760,384,628,
069,368,948,917,683,915,993,526,758,669,668,275,961,863,819,335,352,000,813,
385,167,253,555,327,937,086,395,337,614,544,629,469,116,474,856,764,148,220,
731,797,941,636,493,131,452,271,137,763,557,459,681,085,920,692,624,775,573,
735,108,556,490,954,952,298,971,767,903,114,901,474,154,809,802,031,206,339,
154,385,466,916,249,596,733,774,197,676,784,228,331,976,309,076,254,883,135,
790,296,881,281,264,724,110,678,555,199,979,685,454,972,572,037,205,852,860,
813,356,652,087,868,128,244,099,623,948,052,462,691,952,993,969,667,577,152,
285,312,463,240,009,939,352,017,637,280,227,127,546,291,466,312,848,935,454,
419,610,057,471,361,055,423,613,823,463,532,303,114,031,814,532,093,800,617,
713,523,507,157,336,218,908,638,770,941,510,320,265,390,049,243,627,448,420,
304,305,789,421,741,474,450,622,712,150,960,083,854,681,093,125,576,622,739,
384,139,529,911,010,958,027,365,250,718,777,717,208,627,580,904,590,675,087,
801,678,889,437,487,777,801,187,711,647,454,673,988,734,383,155,509,544,929,
498,750,045,085,158,229,821,739,558,502,175,896,438,651,946,991,163,432,159,
011,525,919,232,754,440,188,600,953,145,611,506,453,522,290,494,835,913,975,
298,915,227,630,769,907,614,032,345,767,008,506,841,592,358,909,784,326,465,
538,079,999,382,688,807,412,123,861,956,657,449,077,834,118,070,165,689,547,
946,937,074,664,685,315,996,872,299,798,335,032,795,391,787,839,331,033,066,
356,379,076,618,288,332,842,749,117,186,836,741,739,972,733,175,616,765,674,
766,845,918,425,911,646,498,114,792,583,836,013,886,538,692,909,556,368,704,
341,964,736,004,628,685,755,855,897,178,702,766,021,650,494,089,835,329,642,
262,679,346,825,758,944,660,559,283,425,578,924,131,584,606,123,526,463,720,
417,046,921,511,392,164,782,572,677,810,605,872,678,920,253,216,545,739,715,
813,590,613,186,970,955,920,089,377,157,815,992,069,358,175,379,173,814,872,
866,186,527,981,646,316,601,486,735,542,963,071,530,264,711,637,979,021,209,
538,943,350,839,995,630,036,648,326,330,838,860,733,180,473,048,546,701,253,
712,457,125,459,031,545,704,279,010,281,207,136,443,976,632,620,919,036,312,
923,975,195,292,872,835,823,541,574,780,882,091,673,740,696,476,620,670,094,
163,496,608,039,785,653,512,965,905,651,204,095,768,488,981,260,912,800,046,
022,144,761,855,495,027,531,601,245,823,360,414,749,707,171,659,568,255,321,
721,803,247,693,202,695,352,932,397,316,387,988,078,301,366,665,468,923,656,
551,500,931,439,458,842,440,572,488,378,370,943,841,736,279,474,147,473,680,
610,476,607,363,125,374,662,803,112,980,998,326,777,881,961,809,036,557,327,
631,934,165,153,014,865,862,865,327,347,395,723,133,403,409,372,673,739,538,
844,280,082,892,275,678,189,053,151,729,550,207,947,551,469,565,917,979,502,
565,910,995,850,091,761,560,896,366,205,840,348,340,298,289,963,048,555,631,
853,504,744,751,587,827,512,751,759,116,312,466,174,673,644,278,352,718,312,
099,575,073,273,357,450,600,064,864,592,526,399,957,275,098,329,724,737,517,
641,084,633,975,804,147,523,014,421,259,730,173,122,601,073,465,821,537,386,
361,661,585,931,436,611,611,184,299,968,586,563,690,426,648,808,001,588,380,
468,508,029,243,777,525,972,386,018,191,724,895,070,524,956,761,886,026,661,
800,818,813,653,034,535,205,049,212,160,862,386,067,706,716,997,698,778,476,
481,300,748,356,966,902,821,267,079,572,480,168,091,905,185,024,310,792,489,
035,617,046,309,929,667,064,535,098,418,185,122,155,410,753,766,794,496,467,
965,388,053,150,781,014,566,575,013,936,730,512,364,204,327,483,158,558,123,
600,027,653,502,619,645,653,370,359,360,549,470,554,569,276,035,884,426,403,
189,728,735,231,139,461,841,797,110,253,244,679,468,892,462,775,278,342,929,
437,588,920,105,854,617,514,912,832,012,262,764,427,324,037,842,059,910,512,
051,728,580,021,794,122,843,912,543,747,681,360,030,808,037,527,469,087,065,
590,848,253,704,036,390,280,839,210,831,395,174,757,342,871,396,792,367,171,
584,097,034,002,360,978,318,676,467,256,157,975,080,629,372,293,187,499,890,
558,502,212,306,440,980,988,092,676,820,816,456,029,542,866,456,265,752,644,
160,468,954,841,551,330,618,457,922,950,203,264,280,747,370,210,637,817,641,
324,614,034,033,205,748,076,347,206,898,022,226,628,622,533,677,921,455,781,
531,046,115,772,950,771,310,296,652,243,353,950,535,797,116,292,382,233,655,
456,169,588,972,259,769,123,522,557,737,968,024,148,595,595,800,365,489,963,
161,788,374,229,395,760,554,936,481,712,777,095,769,321,325,153,398,467,054,
360,476,451,807,963,844,265,591,605,005,815,116,329,491,274,819,513,149,433,
391,178,200,049,456,063,797,314,855,859,406,782,575,787,157,815,376,983,459,
955,460,630,590,346,792,804,356,262,395,470,910,938,272,542,187,874,181,925,
634,958,874,192,393,708,611,280,270,346,223,466,749,605,859,480,309,657,003,
024,014,181,220,262,138,334,918,757,114,337,937,318,774,960,917,712,081,915,
008,952,550,063,326,531,706,281,992,441,548,274,691,975,412,689,496,091,991,
541,222,507,860,165,463,479,422,294,170,503,547,196,186,641,603,602,397,481,
308,141,851,503,097,649,346,793,506,059,802,959,162,630,706,634,330,930,030,
696,748,104,383,628,491,038,558,750,043,112,779,355,744,529,865,675,018,221,
281,246,014,740,502,019,002,687,368,766,198,474,772,998,041,792,243,392,044,
422,143,080,607,409,759,215,052,392,022,766,824,996,240,745,544,731,597,247,
697,694,646,644,379,960,983,783,562,284,105,501,645,679,189,290,423,470,303,
591,066,776,067,741,284,252,276,204,899,888,889,576,282,634,397,159,893,867,
942,032,745,098,671,250,877,083,996,288,869,767,438,890,435,572,714,086,843,
827,159,156,862,578,294,654,058,790,899,693,731,185,496,449,399,425,851,000,
590,580,192,444,315,015,914,452,985,397,016,241,065,197,779,407,557,545,145,
844,949,896,985,889,561,542,759,584,127,203,279,837,824,532,713,955,349,779,
695,065,350,566,704,160,021,124,536,323,907,443,122,858,552,777,379,900,862,
647,468,247,852,894,002,401,636,469,422,672,607,087,326,564,996,680,276,043,
461,782,494,779,546,045,019,546,561,889,441,860,061,684,662,691,243,645,216,
450,094,718,958,471,955,501,559,171,156,714,648,235,940,298,588,117,222,118,
662,465,211,557,335,124,955,290,911,013,964,097,550,047,437,964,649,735,983,
212,786,196,020,190,626,710,572,952,894,453,615,711,413,327,008,379,607,661,
868,836,511,473,860,525,323,018,320,057,285,484,804,100,627,759,056,824,299,
482,940,022,328,460,435,199,556,586,501,256,025,260,816,770,219,124,442,513,
678,363,748,466,405,208,269,845,469,144,019,608,027,034,753,410,241,745,311,
329,253,644,993,194,121,151,522,613,240,059,104,305,924,554,699,949,413,971,
970,567,441,913,810,967,220,217,349,609,323,524,861,986,375,060,087,510,910,
966,307,501,810,921,506,283,286,534,379,762,162,568,332,917,769,280,749,045,
390,976,901,593,634,575,446,964,415,459,025,702,107,162,204,966,316,804,197,
923,684,726,360,407,570,730,155,455,575,476,592,963,885,671,243,284,283,674,
804,109,556,786,811,812,909,072,192,497,454,693,751,589,293,601,484,928,569,
296,335,488,493,190,861,180,766,701,312,598,350,897,402,601,201,198,764,854,
404,643,975,398,079,860,765,393,145,618,841,411,418,824,249,448,159,484,597,
397,701,805,929,734,404,359,269,761,817,653,437,819,958,610,491,234,079,376,
170,402,261,036,473,808,138,066,462,630,384,390,322,037,727,132,203,864,650,
565,314,315,353,256,732,763,972,748,878,689,758,811,911,771,983,002,034,500,
835,925,937,574,758,532,860,040,257,213,266,603,719,859,711,364,546,387,980,
784,355,366,058,144,781,010,117,671,607,728,272,496,005,385,881,370,353,082,
472,855,749,668,770,723,644,902,320,869,905,596,891,960,338,983,145,038,986,
419,452,661,869,875,885,110,405,083,138,798,588,791,290,011,499,643,980,671,
416,654,348,219,159,861,747,021,733,307,407,498,972,586,942,556,062,502,541,
516,452,277,016,401,720,916,761,211,064,943,123,765,736,294,130,229,831,304,
330,248,698,458,000,137,679,650,932,799,436,324,537,619,149,183,147,953,147,
623,302,491,710,646,575,229,116,252,357,820,063,587,421,215,217,074,760,252,
072,906,701,552,621,937,215,003,280,984,317,348,306,847,571,824,019,610,077,
625,956,056,617,975,778,398,914,714,959,871,928,704,707,622,531,642,456,342,
274,772,757,457,166,049,946,862,640,928,913,491,046,333,038,369,092,665,490,
106,563,182,821,267,453,397,888,290,578,703,341,892,302,942,969,067,161,110,
074,000,275,461,890,129,019,170,587,568,894,072,999,501,143,105,453,314,102,
212,843,479,005,424,090,942,076,728,002,366,153,346,538,769,504,778,793,792,
896,937,115,625,160,890,888,418,760,114,494,307,926,944,211,174,845,443,423,
607,768,678,938,504,883,623,449,966,772,943,275,977,322,351,687,986,322,606,
672,559,839,242,030,983,508,469,547,890,428,211,010,143,618,333,239,549,807,
499,264,172,934,190,447,326,824,244,538,188,868,091,025,232,771,098,868,029,
627,697,066,682,419,099,461,143,785,893,951,600,677,900,692,512,086,184,180,
482,566,535,335,199,590,379,979,172,455,167,502,760,949,110,360,593,867,294,
460,439,364,378,546,097,877,367,702,976,056,025,540,261,337,373,508,640,407,
437,756,589,490,821,398,069,645,561,147,235,031,794,769,368,509,798,097,197,
440,145,319,524,961,570,186,586,235,558,198,678,281,281,541,986,617,243,156,
281,817,359,951,145,076,160,266,416,316,243,500,627,750,079,405,564,785,908,
649,808,262,947,585,195,367,635,119,409,446,698,403,397,402,846,864,429,242,
163,587,742,108,489,985,803,657,128,099,906,947,132,231,109,093,340,685,031,
649,835,924,191,225,099,946,798,990,533,449,228,647,338,189,888,890,406,051,
201,865,650,821,135,689,074,964,613,117,204,968,444,355,127,467,626,283,125,
462,929,198,134,714,008,953,755,939,987,363,883,352,251,628,123,917,311,444,
158,673,725,907,707,180,455,053,106,203,618,552,985,433,899,842,085,546,910,
085,273,428,068,190,517,666,039,998,865,197,326,866,482,098,675,788,737,771,
009,234,002,300,078,130,194,340,087,151,309,428,071,998,008,034,431,020,428,
420,742,831,928,688,480,496,407,825,965,304,288,982,674,853,455,264,990,601,
991,970,394,454,487,338,486,100,687,870,137,115,117,871,034,661,483,753,830,
797,620,261,415,306,686,351,863,698,038,111,984,517,149,889,688,262,966,186,
529,337,556,772,864,781,486,099,612,103,334,902,239,211,986,779,124,840,865,
436,222,733,353,793,510,088,444,317,962,130,080,163,392,912,109,038,280,305,
830,907,350,891,480,475,939,299,686,821,960,117,776,747,980,993,174,049,323,
876,561,996,099,452,928,469,010,944,312,123,353,364,084,113,992,523,364,654,
343,370,383,254,089,196,789,597,284,298,981,362,371,076,860,487,771,972,848,
088,056,796,727,917,122,480,558,267,804,312,742,245,323,998,296,926,984,099,
990,573,179,207,302,975,067,157,883,189,528,835,446,106,135,035,994,278,366,
830,163,390,030,733,493,555,689,213,695,172,018,699,701,063,452,924,031,406,
817,326,425,334,736,126,109,821,345,459,565,480,084,572,041,511,771,209,604,
829,680,405,308,210,559,484,642,908,053,942,737,830,646,734,484,738,668,413,
081,561,092,934,901,756,820,889,259,271,607,652,911,211,052,162,902,567,354,
186,718,984,168,430,988,301,079,350,137,807,347,812,256,282,923,668,414,560,
331,039,260,837,719,374,120,249,359,317,339,419,164,882,282,834,683,500,982,
643,914,335,770,126,746,757,645,142,839,905,663,160,342,230,700,814,478,669,
976,914,244,492,533,569,869,196,364,738,976,613,616,213,411,913,958,057,622,
621,840,865,901,776,617,675,666,195,411,884,229,912,067,280,473,981,097,136,
691,386,489,969,432,257,841,795,527,503,565,422,216,706,514,865,698,514,674,
284,647,943,880,186,687,735,577,012,562,332,257,762,222,216,410,530,607,931,
897,118,079,091,802,139,795,714,138,377,074,754,142,024,825,717,108,835,381,
699,179,292,618,451,105,646,204,317,794,670,615,351,036,363,649,651,139,503,
017,891,471,330,936,115,488,444,242,170,033,800,560,755,032,833,703,967,903,
898,346,143,630,375,715,692,864,371,232,878,500,490,410,076,078,737,056,863,
195,477,658,573,513,392,565,523,501,326,611,986,198,716,851,523,074,110,434,
638,964,985,393,631,306,591,398,466,658,653,964,330,648,006,868,514,774,746,
834,864,092,798,825,548,283,337,318,524,951,628,799,532,113,978,495,871,237,
549,816,201,107,422,702,344,346,944,895,090,587,527,419,455,727,275,654,036,
684,772,783,441,047,468,974,287,320,768,344,662,021,020,475,494,245,383,637,
222,886,504,874,350,968,159,534,710,989,370,320,725,051,283,957,768,685,842,
188,158,773,643,747,868,506,119,788,968,570,663,283,788,436,553,305,360,180,
332,834,182,183,216,051,152,848,614,222,627,918,887,704,775,899,235,514,327,
930,277,432,530,852,584,825,970,833,622,711,532,964,172,234,420,784,118,969,
685,091,172,828,143,418,191,199,432,137,289,525,766,771,979,979,708,004,290,
612,922,859,686,303,069,192,394,686,139,674,542,580,392,418,455,012,769,430,
374,102,774,402,296,806,747,565,992,248,404,616,436,079,369,119,698,548,797,
533,475,453,816,325,618,638,629,619,394,513,652,821,959,769,439,638,113,998,
981,920,164,729,086,199,226,074,005,632,440,258,501,672,205,610,789,718,238,
239,861,497,536,945,169,396,179,885,431,904,568,717,684,791,948,114,503,238,
750,670,124,592,251,191,614,858,034,748,716,395,042,543,695,778,250,984,340,
088,592,417,084,552,877,773,067,016,096,332,410,644,421,081,981,802,394,847,
298,228,530,208,959,686,107,216,387,497,571,984,777,018,410,372,027,416,722,
741,767,239,622,014,531,061,124,875,405,445,514,726,834,555,534,035,251,013,
542,226,460,507,461,249,786,706,678,820,943,447,136,790,761,808,087,070,761,
051,854,812,074,432,420,025,764,733,759,426,614,147,122,376,986,210,718,650,
658,626,015,991,996,441,926,366,333,573,238,524,081,540,531,079,644,723,616,
268,859,825,358,295,826,274,769,339,416,719,595,167,383,185,172,133,296,386,
801,358,354,151,927,964,459,696,706,046,000,432,360,150,859,020,281,875,202,
266,605,997,680,764,400,525,773,424,966,543,941,624,087,693,802,164,110,089,
629,096,939,548,693,450,211,819,989,964,263,459,610,364,673,649,902,215,038,
466,872,192,013,657,730,828,755,218,278,462,154,396,635,928,706,596,345,858,
701,936,831,650,812,674,436,486,802,052,997,895,666,852,838,551,315,303,541,
815,042,797,134,223,347,481,689,263,945,290,744,799,979,690,230,878,376,904,
010,529,875,460,759,079,657,429,747,753,568,614,828,970,708,875,109,773,091,
659,922,441,837,430,461,877,883,529,588,195,931,971,388,266,075,807,972,705,
178,534,486,802,761,212,105,453,235,702,269,233,761,189,325,106,090,019,745,
946,701,305,105,936,175,656,647,302,381,400,765,097,719,517,133,024,508,323,
587,949,976,731,466,557,692,567,007,393,987,682,788,905,778,258,497,174,293,
319,786,867,712,196,481,785,477,816,513,199,778,661,330,446,744,625,446,292,
868,881,734,318,786,927,008,277,015,974,814,605,472,225,863,741,708,835,854,
906,919,094,055,549,498,993,174,391,895,747,254,026,479,628,795,969,341,582,
982,798,094,260,390,106,550,792,732,073,880,633,375,994,043,986,382,947,097,
123,972,403,285,802,571,608,177,553,656,360,859,796,120,584,483,112,595,570,
232,414,861,273,424,083,455,059,315,986,909,610,104,147,405,062,673,706,550,
158,969,612,313,983,954,430,570,169,088,992,081,281,247,901,236,469,607,689,
949,575,065,327,764,558,382,341,106,375,990,168,186,199,642,745,452,188,908,
652,941,030,496,751,083,811,855,188,285,150,717,615,748,920,004,049,563,306,
640,612,153,694,004,850,377,888,249,962,827,017,670,878,643,031,874,831,839,
244,667,755,236,182,413,781,117,339,711,738,415,728,005,389,208,162,655,079,
692,531,617,310,549,641,993,735,244,904,433,604,054,152,424,169,980,442,794,
802,495,446,868,979,062,562,295,251,161,669,967,415,679,754,950,224,716,877,
366,683,412,576,900,613,773,575,383,238,371,496,287,787,520,793,297,845,529,
640,228,493,796,734,289,301,351,254,829,232,511,989,724,939,693,522,566,207,
304,938,230,844,843,113,570,743,061,505,443,202,780,780,769,146,613,702,496,
465,649,948,308,750,748,341,553,004,488,959,653,465,040,388,757,835,631,529,
067,701,551,764,297,918,888,388,042,910,720,239,386,077,142,946,140,662,472,
394,744,764,875,464,903,617,561,284,231,095,172,386,993,377,112,094,286,309,
982,166,895,743,498,205,127,462,283,837,239,161,921,511,618,361,144,944,654,
385,266,340,351,126,635,202,495,225,156,547,143,148,877,368,562,940,529,822,
717,169,397,367,964,675,271,017,406,385,538,969,370,815,979,903,190,486,152,
589,559,525,143,652,477,658,930,778,932,235,630,528,895,430,411,667,489,396,
814,964,309,510,799,493,702,773,384,682,008,439,855,109,427,685,749,276,082,
305,013,172,615,470,302,973,300,741,885,480,065,653,223,457,437,258,335,152,
162,953,736,808,651,684,026,048,805,252,400,895,315,358,760,217,993,015,519,
751,719,545,746,613,785,799,037,517,926,286,771,985,152,154,621,669,703,450,
668,504,395,531,949,280,245,494,099,891,898,724,006,178,627,083,338,982,662,
923,794,999,755,638,214,113,208,889,109,016,997,099,047,733,768,676,031,491,
053,004,666,899,134,493,824,647,842,013,780,635,975,673,895,710,067,821,999,
685,035,062,682,306,509,995,348,322,946,620,817,407,133,823,749,227,558,884,
693,658,571,961,331,591,772,522,539,466,623,730,130,674,980,454,875,888,345,
046,592,602,318,887,806,146,097,174,208,199,253,322,857,271,983,232,054,085,
011,786,527,276,205,705,663,165,212,430,787,165,975,539,485,165,235,497,989,
020,570,597,175,270,187,241,680,514,418,608,369,535,294,226,491,099,243,632,
512,454,949,152,494,025,263,437,811,227,484,320,857,811,155,430,156,657,506,
782,405,287,055,835,181,464,334,298,909,675,264,788,702,816,209,534,319,460,
477,590,248,304,604,025,266,502,434,033,148,505,457,415,755,167,588,870,179,
505,058,001,380,629,978,213,870,200,340,824,326,844,270,607,619,640,449,564,
074,727,593,125,956,740,816,840,375,247,207,792,884,670,639,626,727,988,629,
565,002,735,626,988,237,202,803,334,117,748,609,827,932,034,318,607,362,866,
833,833,884,392,987,605,752,167,351,125,163,912,247,561,053,356,999,001,972,
348,229,163,376,931,456,448,825,573,329,855,092,555,584,598,719,964,670,362,
810,593,981,529,105,132,255,012,378,713,754,948,794,295,071,267,606,245,272,
896,810,044,350,834,979,345,324,107,917,344,756,389,139,612,329,243,658,620,
505,914,869,345,011,433,171,765,960,880,010,589,225,080,539,599,391,907,692,
167,213,515,490,387,550,427,315,906,161,459,297,943,321,750,083,888,530,228,
615,543,491,837,596,656,531,745,790,686,783,040,350,928,996,495,345,592,410,
793,857,405,665,931,514,975,264,958,706,230,171,674,486,012,973,317,875,970,
038,302,488,770,957,077,648,760,612,214,174,362,691,204,618,587,437,164,519,
637,301,161,294,950,947,140,018,853,813,702,018,757,885,005,721,661,449,179,
900,241,464,345,144,412,696,711,099,719,810,610,771,361,980,111,367,644,956,
061,770,175,340,331,233,631,418,389,755,491,625,522,241,089,608,813,179,526,
191,491,841,358,716,678,970,358,159,093,653,731,036,145,851,588,212,767,087,
305,791,865,580,493,504,888,331,192,916,973,072,669,385,354,197,378,213,377,
338,000,783,468,455,522,777,020,350,394,315,365,377,304,418,579,013,394,441,
684,437,919,419,302,964,426,816,628,650,813,012,294,974,479,115,738,383,470,
646,843,395,423,053,293,091,997,348,501,802,122,935,356,640,737,114,592,423,
911,608,188,562,302,854,521,527,029,494,563,173,082,198,848,971,552,275,931,
843,650,407,578,776,335,631,740,255,380,948,668,768,902,614,295,039,132,307,
624,526,393,089,496,852,069,176,861,525,369,213,112,195,006,626,244,630,540,
194,799,306,083,893,213,140,282,438,397,917,058,043,375,037,829,318,921,943,
881,851,376,888,054,989,517,756,418,476,518,711,142,068,181,060,229,699,933,
536,642,274,224,925,320,926,238,513,595,211,839,020,423,089,173,513,477,898,
369,058,848,787,527,873,930,852,140,472,535,650,289,569,661,927,086,100,772,
189,723,018,896,594,703,033,448,759,589,588,628,336,136,602,230,840,708,028,
022,221,270,920,999,075,244,227,002,367,427,873,918,299,991,217,955,016,716,
730,240,884,454,988,386,276,894,446,313,515,587,700,892,206,028,745,633,056,
908,366,284,792,823,712,260,885,717,176,302,697,976,748,563,344,197,709,336,
528,894,372,018,555,334,810,853,147,909,885,932,740,652,756,700,773,023,283,
158,481,908,319,951,385,885,758,896,156,936,724,556,180,436,575,280,149,378,
179,367,713,259,580,028,955,489,924,973,106,431,910,149,247,012,519,168,944,
089,998,910,394,952,807,855,262,844,551,997,413,581,661,402,395,441,016,280,
104,943,758,893,520,960,355,340,659,871,724,687,209,441,874,524,672,617,445,
938,636,410,242,491,030,908,062,751,985,695,477,661,399,843,757,793,545,065,
717,625,960,667,873,877,961,660,168,511,633,201,731,938,697,085,792,912,056,
172,167,933,216,691,244,544,498,484,290,759,580,235,073,861,605,585,675,755,
420,289,406,611,157,065,446,734,499,052,426,908,262,704,685,997,583,290,926,
892,737,498,807,871,221,353,519,305,748,656,146,468,486,473,733,005,874,195,
092,614,015,178,420,134,672,248,874,962,443,780,949,201,676,071,574,332,615,
696,796,202,400,495,250,123,289,099,047,646,661,927,588,253,417,339,009,351,
297,707,381,953,019,912,512,040,557,875,733,730,841,613,292,208,832,901,405,
550,847,543,237,289,787,584,757,343,503,269,199,819,171,064,515,325,579,049,
337,224,438,951,550,409,707,838,219,022,196,498,397,323,613,425,905,196,926,
969,358,261,016,729,525,567,343,349,267,091,641,603,384,112,101,892,357,547,
710,070,832,071,240,111,230,472,600,139,439,349,474,946,529,986,303,077,094,
275,435,038,404,264,424,945,555,292,084,837,320,075,024,177,339,024,080,291,
033,521,480,163,383,888,157,426,261,633,137,239,035,026,377,208,585,670,618,
699,471,526,351,891,555,693,926,773,483,293,826,311,923,641,038,713,756,359,
367,173,924,146,742,204,191,129,156,270,283,832,504,091,543,115,850,366,005,
928,617,625,093,432,466,997,160,114,321,706,315,329,349,585,607,431,177,353,
072,573,789,299,984,739,002,382,817,989,730,534,066,682,502,409,015,171,385,
965,706,555,240,376,880,108,650,388,243,663,131,101,628,579,327,490,099,233,
362,187,254,670,161,396,773,012,100,820,115,731,887,947,480,454,147,113,400,
412,423,575,101,895,242,568,777,545,149,745,497,111,009,753,863,291,309,487,
913,139,372,693,938,391,772,490,717,005,528,655,692,686,894,015,529,697,544,
050,479,437,316,566,420,785,469,829,957,498,095,803,101,187,941,246,830,274,
253,760,685,867,659,932,367,395,075,593,023,446,595,612,937,539,425,686,514,
230,161,268,971,722,984,771,118,999,554,991,923,990,422,635,762,954,571,826,
930,444,266,842,393,749,308,471,008,305,517,613,334,509,913,409,161,817,921,
924,774,685,858,890,495,488,302,361,017,895,111,387,473,464,734,377,125,069,
818,661,369,491,499,782,655,244,820,785,092,079,666,496,879,223,439,878,590,
987,722,353,768,935,466,701,135,844,930,878,562,098,939,185,683,792,788,084,
079,863,901,092,517,860,090,152,664,329,314,820,745,710,360,362,853,739,842,
996,223,491,821,013,347,086,259,724,604,683,709,693,109,889,995,979,996,728,
247,793,913,670,146,422,454,366,895,448,481,499,109,686,435,000,773,442,201,
024,879,871,925,734,316,332,153,607,405,407,962,386,884,732,208,618,855,576,
810,416,896,521,731,478,797,724,950,217,950,438,598,185,507,042,224,484,055,
411,719,273,112,334,786,940,032,077,777,715,616,451,505,428,217,046,018,483,
215,550,745,840,592,064,693,545,504,000,210,255,331,014,334,589,351,645,694,
385,155,839,511,032,954,423,425,527,888,336,141,681,211,118,092,580,058,508,
726,501,784,250,956,996,424,701,533,174,715,915,616,438,229,868,093,124,319,
872,145,457,848,905,162,772,456,774,192,037,530,552,843,121,934,456,108,750,
069,629,689,534,861,264,694,282,830,063,625,831,283,595,027,924,450,148,272,
572,220,719,866,606,233,758,741,304,435,931,816,768,117,908,582,102,303,210,
699,133,237,370,864,170,128,305,595,740,844,180,430,847,141,277,568,589,186,
289,538,487,044,412,804,373,710,284,740,463,514,670,912,544,023,490,396,247,
022,268,055,099,045,980,348,724,314,737,935,309,230,003,763,952,275,519,575,
528,177,813,399,302,295,743,617,832,260,107,495,001,346,584,113,224,094,606,
854,955,364,361,791,412,022,775,635,532,596,447,376,640,787,184,098,109,612,
589,395,635,637,230,980,939,114,133,856,332,425,063,386,862,184,734,002,447,
998,542,606,177,139,009,861,628,003,688,751,168,022,805,473,991,008,076,929,
628,966,649,506,124,310,043,062,191,752,588,252,303,865,617,486,468,207,879,
936,427,058,477,564,182,469,851,655,534,319,733,365,712,676,947,169,229,235,
953,810,531,925,294,241,997,615,417,040,389,191,127,847,435,865,829,933,297,
455,520,454,707,036,292,857,735,234,363,279,224,745,259,167,904,122,413,149,
574,762,262,589,919,860,224,261,163,848,167,865,640,599,281,648,689,807,624,
765,003,356,842,934,492,160,835,700,772,235,451,920,947,393,223,459,202,291,
776,034,275,001,301,616,643,846,021,680,217,565,453,330,196,982,882,040,100,
691,982,684,393,317,715,220,660,713,490,131,924,035,950,500,545,470,650,001,
964,715,196,576,676,345,419,439,705,935,677,303,052,698,225,505,578,317,582,
350,647,484,267,435,474,323,544,092,900,397,441,810,040,336,981,585,586,901,
116,978,105,993,694,381,317,321,717,129,998,698,725,068,656,164,007,930,514,
350,690,274,387,872,722,100,925,842,958,709,364,076,900,543,977,529,219,870,
066,681,377,192,687,824,845,245,971,902,445,298,053,441,908,707,286,736,195,
433,594,285,339,774,757,816,854,910,686,844,125,535,458,082,902,507,088,740,
375,689,841,337,406,601,902,126,277,063,990,135,021,881,258,656,406,040,187,
385,462,781,321,178,510,407,203,873,056,192,858,376,219,770,981,368,528,684,
279,739,525,048,308,050,733,839,483,262,818,371,660,072,782,354,003,650,856,
612,751,984,072,839,911,819,427,497,582,689,107,377,050,965,641,339,124,004,
524,877,671,383,382,768,355,736,809,711,465,573,563,517,199,304,730,830,729,
386,486,807,128,800,257,748,065,944,900,781,078,272,605,424,141,330,707,110,
726,393,608,898,310,533,544,201,556,598,044,071,435,033,522,180,197,307,693,
361,078,334,575,639,125,340,352,617,798,254,803,924,106,893,807,114,875,911,
424,925,617,662,235,347,039,655,077,221,641,325,848,125,632,734,042,181,074,
589,608,054,708,539,873,219,649,869,576,637,360,542,733,859,866,091,782,586,
497,723,326,353,737,947,674,925,085,290,094,076,125,727,869,072,675,353,188,
782,058,845,684,705,742,319,237,310,763,853,484,167,870,210,071,112,499,456,
276,476,688,162,557,287,777,716,890,459,198,367,772,637,299,699,716,976,776,
760,771,021,965,919,242,654,544,685,619,493,219,435,613,395,932,225,833,101,
791,903,138,580,420,299,389,099,260,731,302,374,458,757,217,816,927,563,701,
386,065,964,661,021,957,871,643,741,389,804,921,765,489,985,678,043,842,212,
669,173,206,347,595,008,400,174,504,095,569,499,351,178,779,055,868,233,625,
848,120,465,890,971,062,707,129,297,220,669,998,822,612,430,986,744,194,626,
762,835,703,420,133,943,579,073,627,532,207,679,062,647,537,612,568,702,468,
854,390,583,614,495,537,223,324,867,561,213,610,402,003,785,134,232,900,937,
045,846,421,145,522,886,195,057,441,119,273,214,822,875,897,507,625,378,740,
078,163,717,370,352,536,481,115,039,297,939,728,669,678,845,252,808,722,174,
586,737,161,696,913,077,104,014,916,073,723,299,195,074,506,919,344,659,653,
474,378,897,587,195,260,067,042,866,032,086,427,838,535,469,546,209,586,310,
087,067,406,366,802,523,133,015,270,348,216,367,416,182,521,977,240,679,450,
604,777,333,547,486,203,191,148,706,144,211,419,110,943,388,227,821,835,173,
158,185,277,695,818,141,104,546,760,419,176,246,855,495,192,384,931,679,642,
367,824,748,238,753,208,830,487,109,254,216,252,538,040,052,850,939,712,757,
699,521,844,528,493,218,545,119,353,845,797,252,866,431,350,683,162,920,490,
442,770,708,404,589,894,525,377,069,859,250,999,629,457,524,598,908,314,215,
541,198,903,071,309,418,607,389,264,940,152,752,917,149,293,146,033,699,694,
761,955,509,169,393,100,396,651,221,796,074,041,099,525,700,773,748,977,036,
601,427,225,804,665,142,375,510,700,835,656,163,518,467,159,822,088,326,791,
174,167,398,066,872,000,908,797,038,494,909,987,528,789,560,722,834,014,813,
927,568,946,945,093,272,483,962,520,292,740,661,630,387,140,428,431,389,723,
338,750,051,508,756,131,530,256,259,609,221,591,944,498,922,520,679,144,716,
440,966,973,499,898,201,341,670,326,312,541,103,717,408,389,305,449,582,242,
372,611,433,722,640,459,702,892,714,146,943,533,310,612,742,740,583,616,267,
260,215,488,044,621,399,616,210,006,828,439,953,674,069,881,489,266,097,445,
730,921,821,070,884,308,594,034,039,193,269,396,577,893,996,529,761,570,769,
311,504,191,075,528,738,245,097,918,121,588,838,440,128,060,390,442,165,646,
916,603,426,725,412,196,248,901,858,432,016,910,897,448,567,576,673,003,500,
723,829,983,835,450,937,313,569,546,399,938,583,254,668,826,565,964,170,162,
971,874,239,593,292,116,273,436,829,231,665,826,583,281,115,636,418,572,775,
808,348,753,088,939,764,889,882,626,777,625,227,978,654,246,294,610,610,178,
454,685,994,784,458,519,216,799,362,997,299,414,816,593,204,067,924,165,598,
701,412,521,142,535,589,275,821,273,270,189,452,624,606,464,298,053,480,161,
358,021,136,996,289,453,969,574,749,527,758,225,665,061,565,056,692,725,619,
146,738,999,352,183,957,660,011,385,057,163,137,838,890,838,220,002,208,086,
578,987,313,297,189,088,164,442,971,098,543,948,539,035,342,123,144,972,293,
501,851,529,014,072,199,187,858,087,601,779,827,098,851,040,724,026,060,727,
760,704,554,086,864,286,154,465,362,596,852,653,866,942,404,059,407,134,911,
888,926,749,881,393,289,074,074,730,428,534,785,838,386,220,267,439,350,285,
115,803,994,434,664,413,236,619,509,042,540,230,238,651,327,475,163,796,099,
417,426,780,435,500,076,119,425,692,577,926,652,222,778,480,105,827,287,925,
823,164,437,125,589,278,621,613,674,490,522,567,718,143,354,677,204,091,069,
640,852,431,995,326,798,064,529,664,442,593,548,024,883,554,042,263,423,128,
207,495,145,426,433,605,975,821,272,777,313,201,793,218,066,222,331,292,400,
790,434,393,669,419,008,180,397,953,203,341,537,175,359,443,305,678,327,224,
879,194,249,733,573,707,379,089,164,338,423,477,254,594,859,248,504,542,216,
970,571,050,794,753,679,911,385,246,327,492,958,889,561,620,780,583,086,280,
248,494,628,248,263,646,427,364,691,808,726,980,366,617,838,717,874,127,277,
494,173,515,500,823,254,949,694,664,357,314,529,628,177,316,111,914,295,018,
058,935,772,972,988,195,373,893,150,872,234,101,584,919,323,059,574,866,278,
075,005,247,360,525,169,922,463,012,790,207,300,722,196,474,681,247,132,124,
298,309,342,094,330,291,246,609,141,837,365,574,228,996,922,877,419,385,440,
127,301,748,093,718,712,713,672,868,949,383,284,627,113,147,676,146,972,055,
293,283,566,883,354,929,280,591,542,913,664,048,128,431,014,280,020,895,575,
769,245,474,214,750,532,325,462,327,211,960,636,802,507,032,907,253,830,298,
549,215,139,711,899,891,596,613,868,299,752,499,428,079,642,643,814,481,826,
560,264,613,053,152,881,594,918,454,212,839,447,542,763,766,395,975,513,345,
364,021,853,243,848,995,748,612,235,184,592,838,344,544,438,230,872,059,471,
094,092,499,173,505,390,189,830,966,897,407,602,147,122,507,731,978,919,201,
754,554,979,499,210,649,180,006,512,060,242,637,224,575,141,060,761,939,424,
322,429,149,987,212,455,581,107,022,747,191,122,072,476,479,855,371,928,486,
185,982,126,495,547,924,021,651,984,226,058,966,140,673,730,978,946,808,733,
480,919,768,131,562,441,189,599,179,734,231,408,074,730,097,572,075,675,575,
639,975,558,931,222,894,573,991,474,456,568,278,203,966,511,444,214,793,421,
801,304,412,212,831,642,202,466,469,177,639,016,605,739,328,227,101,736,409,
025,843,121,035,174,494,782,277,733,525,838,842,812,814,937,120,684,854,052,
056,757,275,953,372,415,903,684,625,658,263,279,052,634,434,619,973,498,131,
737,460,189,269,613,006,741,267,169,193,706,650,277,003,974,615,504,775,158,
679,724,507,327,190,784,288,111,079,126,341,750,594,151,416,130,527,110,730,
281,036,432,997,371,274,311,759,367,362,077,797,766,169,273,652,820,740,392,
505,932,389,948,354,491,561,150,291,103,501,282,725,257,226,233,921,762,239,
934,911,438,853,073,473,904,534,759,963,094,929,638,219,960,460,178,237,654,
784,275,893,455,318,485,392,686,749,554,442,543,815,080,417,415,578,270,686,
584,647,836,576,967,684,493,160,606,135,490,604,265,843,513,035,807,570,963,
308,249,283,080,939,145,131,819,384,341,160,982,877,958,034,233,138,582,578,
638,867,142,071,377,030,775,542,298,356,623,457,888,241,324,826,199,623,253,
570,839,936,486,526,864,739,526,345,943,390,689,747,812,945,224,824,776,999,
000,744,200,040,018,867,662,708,074,666,027,594,088,833,299,028,036,548,154,
468,754,452,439,859,131,223,871,845,123,438,079,072,031,042,534,185,091,496,
165,440,268,796,824,449,941,809,067,420,325,814,160,197,069,505,678,188,353,
450,900,043,376,307,230,032,378,252,454,092,867,882,404,967,691,308,921,183,
960,880,163,124,626,319,156,086,721,476,104,850,334,194,100,621,296,565,726,
652,718,604,901,592,893,025,024,920,965,244,445,758,105,292,126,776,513,798,
329,851,243,478,992,203,435,611,891,591,100,082,946,734,334,326,638,526,422,
690,418,347,170,180,169,006,691,909,923,920,084,363,267,178,637,830,247,384,
890,315,849,281,729,175,713,935,667,956,612,862,706,265,637,126,707,547,375,
020,469,307,888,967,853,127,745,217,562,449,875,857,111,842,115,161,703,676,
787,845,866,272,376,981,580,319,340,293,927,976,754,895,974,472,332,759,405,
248,815,121,573,717,381,386,855,839,361,940,248,138,994,388,439,105,046,841,
803,514,121,537,505,615,797,723,976,044,544,613,091,664,922,845,361,338,847,
660,062,537,476,998,408,690,661,459,008,388,618,526,215,663,917,407,064,782,
539,428,806,762,796,993,021,077,504,807,792,764,302,782,809,236,184,818,820,
358,205,306,238,088,016,385,163,503,308,782,217,313,808,051,617,387,394,703,
406,598,906,244,355,299,942,031,250,565,962,985,666,192,871,606,512,072,158,
995,740,999,774,642,259,305,639,263,750,310,398,444,016,200,233,175,331,818,
281,912,864,700,340,798,961,155,320,461,694,780,824,796,007,783,120,564,639,
531,358,105,402,704,219,473,696,217,636,884,746,676,405,758,921,593,604,014,
407,160,679,382,195,496,017,863,027,929,880,580,143,485,000,048,203,862,286,
126,701,877,897,469,900,482,661,990,389,584,529,155,221,877,004,689,058,374,
733,429,925,937,800,814,867,763,903,044,216,822,089,749,992,435,870,479,383,
523,073,709,254,737,013,605,013,483,694,573,557,744,846,500,372,094,158,102,
097,161,160,917,896,508,325,200,636,733,258,150,424,856,012,654,821,408,119,
620,065,001,903,794,067,063,075,892,090,151,122,091,175,453,171,934,845,069,
126,901,470,059,951,983,499,441,534,538,031,167,624,790,199,197,832,001,246,
210,669,632,094,414,378,581,914,786,350,902,525,942,010,266,632,734,213,068,
441,089,393,417,603,131,387,555,332,035,656,947,517,229,654,058,236,407,043,
461,711,045,140,118,194,305,351,087,958,514,276,028,392,509,188,624,001,238,
295,052,201,085,147,034,040,337,468,847,295,228,176,126,916,320,609,770,554,
078,401,621,504,414,956,460,842,340,092,279,400,528,432,294,086,685,513,269,
144,547,169,432,917,052,338,932,011,035,714,171,127,993,207,206,105,956,316,
325,432,974,831,246,926,748,838,443,593,239,853,909,536,835,846,032,061,963,
692,326,793,872,873,589,607,936,909,271,049,035,674,850,052,651,258,303,400,
160,021,948,879,516,543,469,445,749,313,094,230,257,415,379,460,093,870,872,
611,065,315,732,441,818,860,479,004,317,871,489,454,454,873,129,774,228,191,
169,316,443,479,998,865,142,035,828,042,983,401,809,443,395,021,579,930,478,
403,094,401,401,898,727,258,218,813,513,506,117,945,324,393,801,573,926,053,
995,190,324,377,523,133,142,772,608,921,275,779,942,061,912,009,737,086,709,
844,892,738,166,865,239,567,077,562,730,908,550,633,698,084,946,827,838,406,
592,397,366,015,030,135,690,900,956,732,286,375,614,373,158,386,383,400,878,
577,689,949,501,307,731,203,852,181,159,954,955,837,157,039,386,037,422,673,
274,763,374,730,775,560,320,808,296,321,758,508,196,024,491,310,222,888,700,
511,367,404,199,127,884,579,594,406,471,482,826,121,009,194,884,490,119,273,
299,784,696,692,550,477,986,693,146,814,353,309,148,927,785,018,862,444,790,
973,311,299,500,914,634,561,025,871,618,191,264,564,428,743,501,587,502,656,
524,361,184,252,969,069,410,201,844,213,001,015,813,374,898,605,784,076,503,
286,752,448,444,522,851,000,533,104,309,905,320,559,287,031,494,230,318,671,
275,107,714,294,192,371,133,967,918,699,818,362,134,514,685,997,184,646,365,
684,538,490,925,839,458,614,709,515,960,682,774,163,505,690,678,176,577,033,
156,893,266,461,428,396,953,074,492,610,773,773,042,328,975,513,368,935,315,
038,946,115,818,107,601,477,590,922,247,140,970,761,403,481,206,853,837,650,
182,577,443,014,796,968,180,670,489,783,356,085,377,491,773,322,554,532,960,
399,193,844,996,877,374,508,340,717,980,908,818,738,120,800,058,057,962,386,
607,588,527,063,741,831,922,895,458,807,697,177,951,620,388,178,048,248,411,
890,549,946,762,563,998,482,146,258,267,252,498,074,476,739,782,476,726,255,
567,487,624,528,101,420,347,640,424,640,495,366,604,109,944,952,383,534,937,
086,137,510,983,182,089,304,510,661,088,327,671,772,721,021,117,720,702,966,
083,850,024,582,032,902,720,992,193,119,572,201,837,581,470,582,043,350,577,
924,147,964,370,114,570,796,498,139,427,744,008,705,025,381,282,012,916,154,
556,735,911,260,032,986,317,539,097,071,911,444,781,541,235,301,332,490,043,
189,041,051,200,831,594,695,892,888,715,296,027,543,353,972,569,125,758,511,
886,236,618,165,050,231,861,595,577,553,108,126,404,664,968,563,618,322,954,
083,526,772,406,752,255,141,264,908,236,269,883,853,831,138,578,991,420,066,
283,414,948,821,244,197,760,551,362,292,869,266,482,993,149,660,760,547,507,
250,356,173,490,458,759,820,460,775,453,679,864,145,975,914,696,156,522,186,
400,874,984,979,061,973,942,708,932,480,161,155,581,663,753,402,622,648,874,
290,301,262,237,031,949,974,594,680,237,245,125,652,918,603,046,022,713,386,
456,203,308,597,490,650,208,571,044,585,907,183,665,219,314,189,915,159,817,
672,552,936,092,200,794,638,191,762,046,152,009,109,716,546,334,968,303,048,
683,993,265,177,470,904,432,303,227,751,752,953,372,013,975,823,325,274,603,
806,511,279,761,919,547,209,337,893,885,773,297,183,233,327,484,773,953,884,
984,214,180,383,040,828,570,264,323,616,128,043,795,262,753,000,642,106,534,
084,206,538,297,958,496,509,506,209,980,078,763,052,329,105,844,463,219,438,
800,709,004,249,136,225,631,046,079,184,589,417,816,582,481,002,079,336,328,
727,660,530,247,172,749,389,472,718,842,824,914,454,478,048,001,179,916,396,
434,876,057,549,333,518,375,051,504,107,484,093,968,042,071,825,122,518,987,
141,460,191,618,077,015,971,398,303,297,896,977,765,143,187,528,612,130,372,
145,676,228,789,589,016,347,360,859,634,761,496,482,019,262,099,926,199,330,
210,172,344,783,059,839,089,218,284,226,541,074,856,407,491,260,941,093,957,
817,627,560,965,702,890,903,420,264,498,652,548,239,911,729,468,392,647,914,
851,670,693,642,780,188,723,525,568,804,946,395,502,547,511,789,060,436,574,
590,460,374,037,848,550,738,334,922,832,421,960,629,767,438,274,126,635,667,
995,602,833,763,324,760,778,812,157,370,167,472,654,619,127,948,142,477,940,
830,344,181,772,840,819,097,016,377,007,715,525,373,210,546,066,035,216,720,
502,444,974,709,210,160,207,945,796,148,986,146,753,949,513,363,888,510,839,
568,940,573,362,396,185,739,080,513,034,406,327,472,564,921,867,138,327,518,
790,581,761,581,435,436,549,580,293,709,586,766,791,645,688,227,161,487,609,
276,677,925,482,267,813,772,499,569,406,251,648,423,911,840,858,523,976,572,
102,197,319,736,625,358,363,066,484,186,643,937,975,177,097,312,230,542,057,
244,273,277,378,834,979,159,724,767,337,941,633,159,135,889,060,249,411,060,
619,097,114,877,969,485,852,399,787,661,022,844,293,769,426,711,232,220,031,
709,785,901,945,406,442,216,944,874,759,982,787,160,175,394,142,577,337,905,
666,073,495,997,269,764,330,368,580,033,370,327,287,707,919,846,241,935,790,
965,947,815,820,527,404,878,417,387,233,198,731,965,089,242,890,359,172,561,
116,669,408,398,644,799,744,147,677,474,245,217,451,485,640,601,231,671,044,
120,641,753,770,604,901,215,721,300,858,643,358,386,121,639,155,089,792,773,
096,173,435,344,817,618,677,703,575,978,718,864,761,573,527,196,988,042,334,
950,121,559,122,164,370,660,726,241,589,894,630,017,408,727,786,181,553,757,
620,148,651,125,266,246,857,644,787,679,098,040,735,805,664,545,539,728,274,
038,165,770,419,866,768,301,836,477,591,750,531,854,800,312,950,771,714,711,
264,473,760,053,289,394,386,249,895,704,108,843,979,748,764,351,297,863,257,
560,013,894,883,780,011,159,202,850,241,088,313,415,395,363,433,971,147,117,
892,809,317,043,866,228,345,265,057,086,332,787,107,423,888,262,964,013,824,
561,924,895,458,118,752,722,030,833,514,847,796,928,922,344,720,860,712,356,
059,501,208,802,181,332,048,785,406,640,654,391,047,925,825,511,892,014,364,
176,676,669,362,856,579,326,171,114,347,433,569,691,551,014,232,966,145,055,
103,054,177,384,731,944,774,293,239,393,255,183,794,642,525,322,617,318,826,
769,127,363,838,941,293,418,719,597,873,517,201,318,139,533,995,591,405,291,
125,815,544,605,983,853,774,146,029,679,965,546,346,164,824,923,172,314,591,
843,757,509,590,479,850,996,844,387,945,018,831,116,339,274,268,530,066,577,
621,817,910,934,686,157,842,504,487,712,200,102,376,530,758,643,388,011,319,
295,944,097,315,902,631,841,993,803,452,357,454,238,412,076,689,471,516,652,
076,495,786,428,260,940,879,025,131,793,170,306,755,627,648,497,060,563,981,
855,915,377,454,241,815,800,378,265,455,066,384,859,207,363,336,090,670,565,
143,367,129,710,548,026,321,719,636,269,422,848,830,083,049,016,869,079,326,
375,665,584,988,232,681,222,996,443,521,032,726,213,605,504,123,353,393,906,
124,020,590,237,828,081,264,595,843,413,670,159,481,481,063,637,196,658,188,
490,937,681,134,519,170,485,109,129,535,330,616,897,983,868,882,271,221,602,
936,147,611,380,468,557,987,037,771,344,639,553,362,436,951,111,678,679,793,
322,704,906,739,603,272,100,843,551,194,353,641,101,410,670,905,592,681,445,
483,813,229,820,380,088,238,190,899,948,042,226,085,355,213,938,724,981,485,
649,285,604,278,383,152,257,046,640,706,504,564,259,362,506,488,818,609,697,
440,547,754,248,884,668,929,796,191,207,282,851,599,471,269,718,362,676,830,
450,936,767,306,899,327,035,091,832,958,645,485,658,491,185,473,471,650,213,
914,282,301,707,624,804,890,732,431,871,519,750,998,757,084,504,951,884,095,
436,591,958,128,433,734,805,974,596,125,477,409,732,843,486,721,953,949,218,
489,298,415,562,863,620,593,789,828,187,186,227,909,926,209,510,611,267,900,
307,310,249,379,786,028,840,463,120,250,090,733,329,496,333,658,356,826,567,
662,103,238,877,819,316,263,283,552,210,913,893,382,029,195,955,527,651,993,
852,591,918,872,082,609,473,538,135,414,322,913,844,976,911,062,737,935,540,
387,547,583,383,585,279,893,932,435,109,292,371,589,174,662,036,953,543,988,
488,490,813,899,908,343,532,648,675,645,474,123,463,397,641,621,886,821,900,
752,638,897,770,901,093,659,128,040,823,407,916,619,221,009,372,461,979,621,
249,665,938,160,848,551,682,809,502,283,127,818,929,843,075,593,743,108,841,
301,937,019,729,397,555,688,302,166,636,774,602,084,403,009,882,878,077,077,
274,012,933,021,814,769,434,015,938,453,895,886,902,837,284,401,609,379,524,
350,837,951,492,948,493,851,472,833,152,732,754,021,424,976,692,487,791,899,
556,631,342,247,240,290,002,428,699,928,829,734,740,548,081,194,693,833,435,
877,472,796,763,375,391,331,585,387,870,028,788,843,549,977,704,135,024,429,
049,460,436,246,226,132,261,966,461,717,778,377,249,516,994,580,432,428,470,
150,697,172,650,492,679,904,256,916,893,091,512,668,609,203,611,772,032,306,
272,645,579,855,294,100,170,216,270,022,687,181,173,753,272,300,087,806,495,
713,338,295,447,632,983,389,138,915,144,630,828,027,643,020,917,004,583,126,
469,842,217,471,095,982,607,272,784,575,159,032,552,275,040,143,061,659,020,
803,546,843,699,198,633,680,794,225,565,193,647,855,852,773,501,707,603,061,
974,596,086,713,893,208,677,752,782,163,981,744,930,312,813,412,942,360,376,
299,366,685,833,067,446,931,666,507,309,319,136,715,816,511,449,377,327,230,
820,439,193,036,637,875,766,215,164,875,501,373,665,481,533,051,832,464,416,
743,019,065,101,408,728,364,834,165,378,938,555,820,615,963,042,959,346,516,
507,856,561,096,573,707,840,822,129,622,427,084,629,524,789,365,325,703,747,
375,174,570,606,848,124,753,785,286,716,288,919,633,031,764,050,488,913,514,
696,844,124,620,454,834,109,562,821,800,218,622,894,796,502,093,048,337,486,
111,113,276,897,731,008,808,521,471,189,582,950,562,265,872,151,118,911,193,
358,020,611,335,996,614,966,577,507,717,808,419,856,164,644,903,112,357,208,
342,291,211,163,284,189,798,811,052,781,001,175,264,507,276,827,774,206,710,
844,968,049,658,391,622,076,354,551,683,962,421,946,167,836,088,479,708,573,
379,765,885,354,742,785,048,730,121,277,406,369,537,394,127,107,101,233,541,
214,045,434,456,962,997,065,503,817,908,333,886,031,906,098,302,965,567,828,
166,578,223,708,385,682,537,985,523,017,568,634,871,723,497,501,507,462,086,
091,500,347,524,017,831,832,822,707,788,535,966,757,206,140,312,457,002,366,
273,309,521,775,721,531,462,325,784,013,461,761,002,030,209,690,960,727,275,
171,193,603,143,469,934,572,579,438,282,542,048,035,355,025,939,099,058,761,
623,715,121,081,582,760,854,590,974,857,678,129,712,747,258,012,577,161,133,
408,438,842,800,494,670,237,692,271,882,432,170,866,761,987,523,534,613,154,
151,942,835,316,687,060,380,840,787,275,418,941,308,363,610,560,418,231,982,
548,337,468,113,517,857,570,172,642,295,762,882,135,917,852,689,619,270,489,
809,025,158,897,135,839,926,551,874,585,737,116,487,958,063,076,116,769,223,
277,402,210,700,805,082,899,881,451,287,923,506,158,656,977,767,186,681,255,
740,863,786,209,078,787,098,857,164,570,099,843,872,929,045,068,889,312,560,
386,254,548,247,162,664,975,557,695,599,821,784,492,267,961,209,914,303,114,
689,604,921,859,474,212,111,156,054,547,700,092,421,157,115,957,858,744,229,
776,253,150,877,257,706,455,426,117,362,789,785,233,905,605,771,391,550,203,
577,202,428,870,290,533,812,801,780,061,464,223,812,578,616,335,698,895,654,
916,274,650,595,095,412,532,060,215,658,567,455,165,386,997,821,579,738,558,
366,335,849,713,085,055,320,671,728,345,634,571,744,845,039,143,387,255,212,
432,123,087,223,075,922,403,079,322,766,018,557,876,711,089,232,313,488,075,
659,683,717,849,797,990,215,528,000,983,060,585,919,566,832,109,398,569,405,
484,809,952,216,632,980,433,872,844,358,958,751,161,696,738,591,435,189,213,
425,618,100,157,738,460,397,351,322,468,894,248,225,191,469,013,313,963,367,
936,940,707,663,524,048,909,544,705,203,424,647,874,005,426,451,872,793,671,
011,750,360,260,758,406,066,570,490,220,665,775,352,739,801,488,215,300,016,
097,621,415,680,621,878,178,102,232,942,886,183,940,357,960,980,811,337,693,
136,164,825,232,766,359,034,388,190,032,820,243,005,448,107,800,126,885,130,
566,322,132,204,548,286,405,763,756,383,131,409,011,803,797,034,769,387,393,
464,555,669,079,657,823,243,216,827,214,726,646,068,920,271,681,920,052,596,
559,980,456,313,781,128,675,154,357,970,992,583,303,364,720,811,010,592,884,
913,331,335,926,625,194,398,637,333,128,455,312,221,639,341,205,829,637,748,
500,994,255,064,844,743,959,730,655,845,327,851,868,390,413,915,070,314,340,
534,637,876,500,350,483,584,745,176,115,328,175,856,908,872,780,590,157,797,
595,416,063,160,216,317,021,910,818,265,267,961,463,881,623,004,397,993,663,
813,396,050,434,101,887,297,829,509,892,373,043,317,104,064,655,434,068,042,
368,908,096,235,275,829,349,667,779,254,763,061,929,602,816,269,080,925,151,
891,110,764,982,369,510,980,533,550,954,015,306,680,973,306,790,302,604,769,
408,032,262,184,134,822,135,364,423,862,413,855,029,651,891,727,627,673,286,
701,951,468,095,137,964,238,368,086,270,805,891,302,834,716,293,831,774,794,
529,272,257,715,320,380,112,268,261,096,240,173,340,809,422,783,764,567,237,
500,350,666,233,193,679,166,257,233,372,685,594,745,699,239,898,117,761,284,
353,105,828,490,644,799,545,996,998,641,864,301,485,825,899,095,973,699,716,
594,737,122,551,474,139,896,346,146,257,520,610,807,831,743,047,620,300,281,
475,848,111,178,693,867,768,696,407,614,557,692,350,607,680,016,273,335,147,
566,593,775,920,198,283,824,040,445,982,405,692,190,336,162,891,163,492,204,
831,834,428,748,871,463,570,516,157,155,851,812,426,407,105,506,694,616,842,
934,399,300,615,003,592,424,598,482,112,504,306,145,714,907,703,690,108,181,
100,290,761,320,682,479,749,927,714,712,404,593,545,782,744,747,396,433,573,
318,288,674,164,606,123,228,998,188,071,867,306,977,030,641,106,730,269,129,
894,599,556,993,081,288,089,814,508,122,441,922,391,073,965,634,714,250,116,
684,299,234,988,512,531,587,074,735,743,180,198,250,543,516,568,591,840,713,
594,969,503,429,789,832,670,728,103,436,657,446,691,446,404,310,043,290,519,
232,824,281,305,848,375,611,706,530,287,043,520,865,699,547,230,342,088,666,
710,330,324,880,474,879,103,063,940,091,539,716,428,924,300,793,591,182,494,
971,109,769,924,162,866,321,770,792,092,120,888,684,979,461,341,899,025,371,
997,057,519,867,946,555,797,877,960,113,291,446,184,639,739,291,022,133,486,
426,348,706,619,299,739,045,341,332,792,278,290,295,643,734,283,725,691,689,
637,668,720,393,438,375,353,184,724,954,215,624,395,933,848,776,393,347,163,
311,185,517,393,121,862,481,653,810,811,579,894,882,362,176,801,173,821,498,
923,357,300,178,784,098,639,170,707,241,672,073,425,618,319,359,819,583,421,
035,560,319,822,972,502,092,925,043,820,605,335,718,058,160,549,750,441,856,
546,860,445,115,982,642,557,056,158,893,795,735,953,027,946,532,688,175,597,
118,476,825,085,507,213,404,922,768,457,870,807,393,943,429,551,075,408,399,
706,527,013,533,767,213,227,354,695,186,758,078,157,603,857,172,605,331,453,
236,612,870,215,399,762,794,997,226,004,082,067,865,072,947,799,337,874,582,
881,360,420,543,606,114,141,141,578,212,623,281,887,211,543,851,810,982,360,
889,673,069,480,312,566,326,776,934,358,007,643,213,317,832,983,518,279,418,
695,306,399,512,045,520,490,827,390,761,483,204,851,891,139,832,643,439,776,
828,591,038,100,362,139,106,397,324,433,886,053,441,296,941,843,968,150,552,
959,486,164,091,260,738,443,684,352,139,792,394,890,607,400,206,455,773,933,
124,351,769,997,219,460,163,808,506,917,750,702,440,855,822,580,886,231,985,
242,014,815,323,118,518,113,672,243,356,110,209,401,925,432,255,567,630,378,
735,811,579,940,667,202,921,523,668,311,029,740,467,897,589,254,535,892,338,
541,708,347,373,119,223,627,845,694,152,833,088,095,068,845,474,821,137,755,
912,210,438,666,848,707,324,289,080,013,911,079,633,253,803,641,009,574,640,
985,408,941,411,607,272,626,222,854,518,424,734,249,841,122,456,443,679,516,
336,150,460,897,409,281,590,944,022,982,221,583,350,880,415,751,071,511,501,
588,187,462,732,241,588,676,495,668,587,843,047,280,044,244,575,571,870,547,
178,404,327,959,960,273,577,170,981,732,941,543,088,954,792,499,903,362,054,
543,934,364,760,058,505,738,446,956,433,001,158,493,167,069,465,457,986,595,
182,238,770,351,528,452,451,001,073,956,186,606,750,591,634,445,193,319,112,
208,949,540,655,220,340,220,960,884,802,346,334,107,897,827,112,759,073,700,
607,166,418,919,019,426,313,666,167,193,359,931,552,895,046,565,897,963,129,
064,100,778,274,294,752,379,436,774,707,130,447,761,020,143,579,887,824,863,
553,705,431,762,421,374,236,565,670,832,021,843,108,684,741,627,219,497,197,
347,840,933,426,522,347,366,425,613,835,946,065,212,265,416,827,069,677,385,
278,146,648,559,315,024,195,730,593,064,714,513,473,891,835,375,549,551,268,
791,953,613,768,170,698,379,916,614,995,418,046,058,789,486,339,911,443,471,
571,319,516,391,988,446,098,189,214,708,546,653,266,216,264,987,887,114,565,
764,986,019,137,723,085,750,001,215,899,987,264,606,845,316,623,789,482,520,
164,472,501,196,596,390,097,633,134,798,854,746,631,687,764,115,174,350,959,
923,127,130,514,122,036,725,813,086,368,317,788,361,825,613,698,207,072,831,
492,277,423,686,571,056,804,556,550,147,702,596,976,916,177,152,790,038,239,
278,183,735,842,102,029,790,540,336,408,553,757,835,667,371,225,299,873,172,
854,994,803,537,104,497,520,494,643,295,971,878,869,008,109,411,026,202,371,
787,997,221,780,960,203,033,416,744,122,896,958,747,402,008,145,519,764,281,
721,310,687,363,981,873,573,184,021,511,303,189,517,571,864,709,309,504,181,
707,436,908,419,136,047,219,701,861,602,206,664,145,210,992,430,932,173,825,
420,924,966,549,587,105,263,821,132,340,677,692,046,910,683,377,055,114,268,
527,531,522,999,364,571,941,126,134,170,900,725,734,309,860,318,878,229,014,
907,856,445,295,752,005,458,347,951,106,199,730,307,339,092,103,309,902,167,
557,158,706,210,580,737,118,406,256,983,950,278,134,188,642,488,314,523,159,
875,157,255,429,023,450,785,386,193,026,285,883,890,666,955,709,967,422,667,
464,809,591,363,984,372,499,319,468,626,506,263,005,352,683,047,053,399,604,
250,381,671,097,550,319,051,737,793,046,450,242,651,469,493,215,982,994,934,
608,455,494,528,483,877,049,475,228,659,752,380,508,638,494,790,865,887,663,
733,216,066,033,644,839,856,850,776,688,100,315,699,076,827,093,379,191,696,
041,230,853,552,253,926,388,305,245,501,823,288,738,386,452,059,142,132,216,
608,626,146,618,593,748,667,589,742,839,535,787,109,018,365,750,715,456,163,
217,728,308,658,609,310,245,219,437,081,003,005,145,837,268,211,094,661,765,
898,388,432,848,847,605,611,239,097,998,625,642,886,809,219,322,746,765,922,
122,860,873,358,452,775,146,995,627,117,434,918,643,978,212,933,309,384,336,
928,156,044,685,002,855,732,649,624,187,285,886,956,288,350,465,979,961,467,
777,307,210,969,678,512,525,391,368,596,234,669,011,912,305,315,650,536,595,
719,467,713,665,351,890,385,122,670,560,262,338,670,462,212,722,875,375,844,
118,377,933,647,483,495,509,790,334,228,778,635,949,201,127,247,247,888,377,
488,600,810,813,281,698,506,869,024,005,025,306,762,365,600,382,548,845,020,
262,838,017,121,141,491,865,254,999,438,466,565,214,457,227,630,097,600,199,
699,177,939,957,417,821,302,707,736,621,002,238,056,970,816,594,729,598,231,
201,683,477,410,361,942,659,663,068,650,650,514,070,640,620,661,650,119,562,
624,802,017,646,062,641,515,807,227,588,007,114,909,661,060,636,411,050,895,
198,196,732,574,962,069,729,340,044,860,222,838,758,396,300,473,022,034,527,
249,557,796,031,714,907,631,980,777,151,596,574,225,082,594,961,837,699,355,
232,506,677,358,019,024,112,306,248,634,660,572,931,886,897,347,155,716,427,
107,448,224,076,552,395,528,551,892,340,139,867,262,150,563,409,838,504,839,
216,697,493,545,528,549,292,498,864,876,445,021,917,299,751,840,095,066,974,
245,652,615,275,216,345,886,557,647,819,266,730,010,619,109,007,378,372,578,
658,243,921,335,356,604,595,967,179,201,764,879,299,951,016,047,067,595,458,
417,620,233,197,292,371,211,916,971,091,664,734,688,628,834,800,383,465,158,
412,988,011,873,458,185,863,087,717,084,167,285,425,100,891,359,872,765,482,
756,448,249,684,006,177,842,484,297,939,802,284,275,726,046,525,270,105,927,
607,774,968,810,147,013,891,020,344,402,191,425,336,439,977,521,967,827,496,
630,983,766,032,341,958,072,076,762,435,430,334,379,337,335,365,812,150,458,
899,448,159,536,423,621,030,963,320,736,314,327,743,145,184,185,835,696,162,
059,711,021,530,167,280,003,528,691,689,015,447,846,398,775,575,353,480,795,
981,486,118,883,517,367,557,396,166,825,014,714,266,696,649,920,120,115,397,
637,960,408,425,546,581,687,251,060,163,729,531,082,649,515,083,488,522,148,
586,239,319,597,557,590,665,296,572,242,740,973,332,394,835,867,003,372,967,
153,888,812,838,204,378,166,757,256,377,069,116,308,636,681,758,487,793,275,
480,776,882,388,042,308,467,474,082,902,351,212,915,566,814,633,006,657,493,
333,529,105,368,934,446,758,105,553,871,883,598,076,523,606,926,779,155,759,
635,217,036,826,873,829,492,829,968,647,198,729,626,095,449,715,770,126,594,
759,102,253,129,984,485,774,578,794,266,465,629,456,256,084,702,335,695,587,
059,438,334,558,267,054,588,901,454,346,257,603,961,434,712,691,444,145,044,
891,367,262,858,495,316,771,854,426,821,555,485,030,142,571,551,577,431,905,
693,339,316,108,087,403,457,288,946,192,883,769,926,617,428,459,080,611,609,
237,721,506,567,285,574,169,769,395,823,909,263,057,721,236,733,718,271,979,
847,910,709,939,911,082,839,377,525,253,527,807,671,335,138,630,093,423,696,
179,798,903,764,900,743,044,564,555,783,554,597,280,095,973,989,583,655,329,
245,303,128,361,170,083,132,766,055,678,005,622,163,109,838,456,806,375,482,
806,199,617,603,031,276,528,723,339,881,722,633,539,695,299,116,446,304,353,
247,656,523,285,919,892,583,890,157,335,163,155,245,901,036,452,951,424,169,
316,236,846,614,780,164,147,788,342,208,149,290,091,039,667,599,306,783,638,
087,225,737,085,212,301,726,341,585,407,290,555,956,184,196,729,146,342,352,
659,885,972,153,987,437,058,496,699,163,846,521,138,627,282,078,713,623,838,
781,413,428,124,594,351,400,594,262,807,842,039,925,191,608,621,106,482,236,
770,004,694,231,135,408,282,583,016,861,425,909,965,149,833,018,648,515,291,
086,389,040,859,766,993,434,533,730,921,520,040,997,399,691,661,440,131,342,
275,956,129,034,116,542,200,008,560,981,350,518,198,885,702,204,311,320,926,
440,299,465,281,733,633,082,161,905,779,621,671,676,167,892,682,139,290,863,
984,578,930,471,832,232,746,017,984,681,496,964,018,610,416,481,246,493,249,
404,024,832,312,928,621,776,382,889,236,995,397,537,690,287,143,794,090,961,
917,368,457,999,019,314,895,606,501,520,324,973,211,902,622,834,502,773,156,
339,862,113,581,480,530,188,345,631,989,523,249,236,788,391,309,750,233,259,
295,349,262,915,924,825,274,608,970,701,890,503,848,665,438,405,295,888,490,
977,379,503,696,986,987,826,244,448,034,658,802,161,146,158,068,717,878,619,
422,438,639,519,536,730,170,243,689,906,758,181,852,489,149,821,612,362,691,
009,329,043,458,940,964,817,714,367,226,098,773,602,764,633,134,048,490,552,
557,824,956,041,031,008,891,171,562,693,638,974,462,614,414,303,946,389,190,
447,459,238,208,225,573,940,490,086,370,928,185,419,223,764,108,919,163,614,
309,573,729,823,236,215,915,629,736,894,052,339,262,608,747,908,316,061,298,
458,160,094,067,488,306,221,516,925,450,290,207,549,794,802,193,352,233,581,
889,825,319,862,619,294,534,994,834,744,392,373,717,182,819,603,064,112,607,
234,469,452,222,017,693,869,268,302,095,246,079,327,271,931,240,302,325,899,
176,963,933,100,232,582,579,452,568,276,691,385,248,999,635,665,887,774,582,
387,502,489,467,326,205,172,436,741,597,454,041,387,653,037,021,647,996,785,
324,905,753,889,762,876,416,442,873,981,918,795,004,765,530,758,071,710,186,
216,842,169,415,989,260,490,137,588,239,688,048,767,794,261,508,566,372,367,
537,469,349,162,233,416,468,454,022,314,587,343,185,707,155,322,050,249,563,
388,344,775,766,242,693,295,208,834,142,859,537,175,026,503,848,578,154,497,
328,531,110,501,252,780,015,584,521,172,652,343,781,053,575,423,069,766,804,
235,263,105,594,880,033,874,664,735,194,103,585,517,486,658,402,086,515,061,
860,455,367,189,764,854,149,313,381,770,481,078,022,423,151,331,853,941,600,
092,605,150,192,273,241,718,697,158,777,815,164,305,788,772,085,625,784,512,
807,795,503,841,253,588,527,536,035,047,530,375,365,952,054,630,854,138,184,
961,873,187,223,408,958,207,600,693,531,014,379,156,566,648,204,677,090,687,
124,431,169,021,811,548,570,752,689,228,527,658,863,827,273,530,195,086,225,
353,260,282,934,455,113,092,856,447,708,100,799,451,256,796,243,221,267,901,
734,417,921,455,187,529,469,503,870,588,969,163,704,548,121,247,229,442,621,
454,307,684,684,681,631,716,655,207,082,427,482,935,722,716,818,150,985,710,
802,273,959,778,637,363,630,413,384,977,554,197,697,951,273,085,901,107,078,
892,571,374,522,406,955,871,895,536,797,053,420,932,062,263,363,617,616,478,
102,017,259,408,459,786,172,208,045,839,231,219,775,369,366,048,024,607,293,
692,885,813,454,755,110,590,887,549,730,554,416,333,689,083,850,466,984,507,
495,184,846,609,682,118,865,518,684,212,283,296,838,515,442,767,530,607,590,
066,605,575,907,704,214,407,027,854,938,802,872,596,959,294,998,989,875,972,
877,222,388,691,082,283,294,638,470,164,831,530,172,866,487,752,658,922,808,
378,384,595,276,931,670,611,274,277,938,307,111,873,446,190,669,006,862,535,
309,308,624,763,751,605,332,569,374,220,435,927,981,752,517,936,208,879,214,
767,210,008,351,187,414,968,942,777,551,492,680,103,985,263,210,937,543,596,
979,548,465,222,524,852,993,866,534,807,225,391,108,876,004,123,724,518,976,
494,970,655,876,199,027,873,203,622,414,635,480,742,480,501,400,431,051,779,
858,551,449,002,201,968,338,677,450,789,509,810,468,102,271,079,548,821,012,
739,956,810,020,224,385,725,147,229,200,823,463,706,411,873,869,405,050,323,
003,258,512,066,121,561,126,569,234,168,066,106,575,902,718,186,112,413,751,
729,516,085,394,738,445,107,717,101,540,795,447,798,534,414,592,056,858,592,
339,120,253,939,210,164,326,790,930,553,629,451,982,402,282,475,290,415,959,
720,322,666,155,141,286,848,823,448,137,406,082,066,186,186,957,447,666,788,
053,628,004,924,010,821,697,573,256,407,575,462,679,067,828,015,895,886,210,
973,830,197,064,641,889,720,716,378,799,919,039,966,385,812,824,729,054,710,
249,930,534,272,891,151,878,905,939,349,393,048,526,671,085,914,026,214,261,
042,955,217,272,833,519,506,970,578,636,878,994,128,186,668,191,996,862,362,
451,579,704,896,242,231,215,953,953,010,292,887,754,218,499,985,079,145,873,
324,647,150,881,460,100,271,361,294,877,870,032,680,951,460,740,791,657,218,
271,765,567,989,566,383,265,359,839,040,807,897,679,866,573,398,515,937,840,
285,390,575,629,799,187,818,615,159,612,282,862,670,936,857,268,620,360,626,
878,962,160,954,017,418,005,661,538,174,037,259,303,946,787,107,346,615,188,
370,688,369,932,360,339,863,706,296,380,419,124,285,006,846,792,736,570,103,
995,610,226,387,900,167,442,466,928,770,626,479,048,409,773,502,368,924,035,
641,456,052,139,856,246,519,211,150,592,366,689,050,933,233,627,257,658,328,
432,908,565,847,890,275,210,024,287,616,593,395,962,078,188,113,107,820,150,
875,854,334,692,763,338,288,356,560,177,141,224,893,808,422,815,316,358,984,
955,412,426,428,335,359,822,639,555,281,973,233,088,724,866,084,279,406,552,
706,858,403,983,533,519,075,131,800,531,969,804,761,226,271,529,078,746,493,
391,478,023,133,110,967,008,995,600,912,507,683,606,604,854,105,578,441,554,
422,848,826,478,439,820,405,739,138,450,791,209,798,692,407,752,390,649,699,
236,615,212,831,554,457,485,832,454,926,233,091,550,716,621,775,485,697,462,
528,074,033,685,091,726,977,537,547,811,858,264,033,171,250,605,823,359,153,
703,655,282,277,651,832,036,675,092,250,291,753,403,309,272,159,367,678,684,
684,291,901,257,647,399,099,205,743,559,251,826,879,500,585,449,025,996,483,
080,158,530,519,966,585,611,658,646,179,040,389,086,833,275,799,863,292,067,
105,619,994,223,125,759,334,697,115,319,248,631,187,191,840,614,168,952,232,
155,652,100,320,824,439,794,005,089,385,525,020,517,391,098,802,106,308,122,
296,797,645,322,790,993,642,286,562,693,391,254,799,797,831,398,556,020,800,
189,150,031,237,418,754,207,168,108,499,638,268,339,383,411,268,190,922,422,
113,872,404,275,500,614,433,725,591,852,113,258,159,354,268,491,749,777,374,
530,727,237,659,624,959,748,109,421,218,149,667,758,677,752,070,539,174,823,
459,961,247,028,428,142,655,957,387,543,689,484,747,983,680,372,876,899,224,
795,457,106,485,326,275,800,700,535,025,409,341,032,911,565,071,073,012,162,
464,048,838,920,997,542,016,555,297,763,521,927,051,405,648,552,160,529,300,
991,565,064,167,002,710,917,901,310,414,270,331,603,959,490,226,444,797,491,
312,649,893,661,884,280,799,969,352,703,178,124,871,113,607,032,116,113,016,
968,143,711,128,458,044,114,700,096,349,398,424,428,406,974,373,134,008,700,
651,398,660,359,728,278,125,339,311,634,479,942,097,902,354,274,009,069,803,
695,673,774,730,282,425,958,158,091,004,883,041,412,988,192,739,893,996,048,
044,319,567,733,608,873,955,478,577,482,681,623,676,394,312,272,970,109,084,
879,346,503,530,172,785,937,452,891,089,143,435,947,051,643,252,173,234,572,
648,678,825,022,556,332,765,836,923,042,126,763,480,849,910,751,425,719,808,
048,308,940,268,480,551,428,871,871,871,275,492,034,600,524,110,937,543,848,
527,946,210,381,382,205,100,533,696,098,901,676,368,488,491,767,385,435,488,
310,466,162,626,481,796,592,008,776,080,677,567,703,937,178,465,335,133,394,
027,156,893,829,167,402,832,383,427,061,829,066,409,546,695,120,895,766,306,
128,913,508,368,528,605,531,331,353,357,361,849,537,741,407,819,064,589,963,
872,911,416,893,405,280,626,311,154,575,720,472,007,948,515,561,973,595,676,
097,785,957,292,367,697,260,244,924,694,007,160,761,434,965,399,627,059,688,
093,951,564,270,027,201,432,447,429,544,666,412,695,346,021,508,874,539,929,
687,464,816,197,483,542,420,573,538,402,495,204,568,917,345,684,753,676,544,
650,867,086,041,446,433,176,946,358,984,003,638,255,634,224,004,893,887,175,
834,940,242,103,698,666,469,430,076,313,409,521,239,388,141,571,749,498,813,
479,651,292,357,587,985,525,243,918,999,929,266,692,363,932,202,243,614,564,
774,578,095,639,678,502,243,118,337,581,796,722,367,817,174,844,940,882,620,
985,363,710,751,265,151,907,368,639,848,712,577,159,089,514,587,056,924,423,
455,907,478,616,429,866,010,345,204,669,571,849,093,452,458,429,735,889,148,
711,467,081,938,309,621,460,354,128,040,831,890,082,920,943,638,438,116,111,
806,678,568,265,616,988,552,372,522,879,440,329,325,471,830,901,503,386,300,
119,639,470,762,070,090,926,025,982,031,893,649,442,156,690,152,557,316,781,
695,233,516,091,437,579,104,587,607,614,890,646,400,696,821,547,024,809,616,
469,957,021,151,813,854,440,689,377,584,781,352,425,008,164,422,859,581,831,
382,704,058,738,199,103,491,312,719,820,438,498,103,694,506,630,174,351,734,
775,346,642,524,334,248,969,490,097,857,006,687,040,382,952,416,553,445,377,
011,064,998,719,736,399,825,921,993,325,769,270,982,757,022,110,636,334,762,
349,251,925,306,250,795,810,617,107,872,940,357,840,786,859,376,530,957,218,
997,678,309,293,387,982,378,416,160,570,131,531,539,917,294,322,420,702,257,
599,275,414,822,348,239,037,470,511,672,595,657,244,854,171,254,586,465,675,
328,624,468,776,215,748,524,079,830,167,898,817,814,112,664,601,855,100,426,
482,219,086,325,907,072,254,327,187,389,447,400,234,672,752,186,231,529,295,
593,597,008,192,310,343,765,911,307,781,303,811,222,306,588,506,691,351,423,
766,731,641,494,218,860,770,420,109,003,240,693,582,781,113,103,968,405,220,
635,656,699,646,055,361,133,587,629,496,138,563,653,353,880,125,663,149,818,
212,284,458,256,176,608,209,079,314,832,535,641,483,391,214,486,281,270,205,
729,451,925,165,905,453,858,567,165,084,026,185,507,662,837,930,036,933,233,
663,147,521,595,759,495,270,330,265,849,578,437,508,181,211,463,335,074,498,
015,721,959,688,812,407,396,584,435,677,070,023,763,077,968,130,032,488,272,
892,634,375,347,405,593,486,932,614,015,010,441,370,720,240,006,136,463,263,
425,249,491,711,765,325,406,578,185,597,190,369,078,166,021,726,829,880,677,
686,392,786,195,535,860,827,812,131,122,686,628,098,349,641,992,406,558,121,
417,266,289,378,073,693,119,080,784,863,237,149,237,912,983,445,069,206,139,
358,342,788,115,597,749,722,392,465,149,965,034,482,047,350,383,196,648,030,
415,781,022,556,328,227,385,146,812,180,054,788,701,210,938,477,230,606,114,
440,096,574,904,661,096,420,522,516,433,313,239,099,924,455,067,708,678,644,
089,668,503,612,258,231,000,477,220,401,231,596,448,819,145,546,179,263,346,
146,897,465,617,029,695,518,999,310,096,328,297,570,159,597,433,247,560,718,
457,633,478,129,154,371,247,397,767,382,453,713,127,271,980,815,350,467,206,
625,310,496,017,641,866,362,195,364,718,433,565,824,504,740,568,101,383,840,
023,846,754,192,762,302,222,502,784,274,431,345,987,604,151,412,137,344,141,
258,855,141,007,017,262,290,401,242,758,520,084,779,955,114,539,689,291,845,
923,473,205,514,583,707,700,070,157,208,811,508,266,509,913,987,001,231,000,
367,771,449,084,867,204,472,107,174,622,078,381,945,983,661,308,292,029,653,
027,687,727,329,994,408,106,592,937,422,154,052,820,491,195,259,872,268,158,
675,147,207,302,727,008,097,140,538,399,894,103,851,613,990,480,363,826,331,
984,298,950,705,792,676,831,895,176,441,467,070,185,352,517,815,463,078,674,
300,028,985,225,072,614,239,116,692,242,193,818,798,244,978,679,680,934,352,
663,973,014,047,073,436,584,088,459,213,017,322,499,518,006,255,750,051,355,
381,221,821,411,879,438,157,717,985,210,613,028,999,075,055,111,419,111,106,
513,726,718,869,094,323,006,595,218,423,045,654,218,666,801,024,014,694,535,
817,855,093,428,201,454,738,130,222,807,696,045,329,578,794,127,396,002,203,
292,151,331,028,518,915,714,803,493,859,698,987,490,323,050,921,311,968,001,
828,066,397,005,705,726,439,526,250,874,865,775,877,637,269,449,458,015,605,
447,422,168,795,958,827,793,077,190,673,467,882,025,556,234,907,553,724,492,
510,245,636,441,454,025,702,883,454,509,735,887,904,522,594,957,466,698,942,
904,096,858,718,279,871,527,870,751,554,999,758,705,707,357,593,083,461,086,
917,867,939,978,905,131,088,370,393,530,529,018,948,833,655,615,640,579,102,
192,255,034,989,669,045,398,193,005,659,596,122,855,357,548,148,502,377,578,
647,909,081,393,321,759,969,208,985,096,042,877,352,127,699,068,198,400,015,
403,767,676,938,621,999,593,095,760,471,746,620,075,574,588,059,764,446,733,
703,373,857,577,655,078,914,599,062,879,559,867,017,437,471,114,993,452,789,
347,519,437,847,636,763,802,817,756,745,764,157,750,248,428,142,131,920,094,
550,541,429,036,927,853,548,754,745,664,184,942,190,898,227,204,589,638,098,
981,471,274,857,071,664,140,226,499,425,320,591,215,654,429,189,554,296,045,
878,702,544,625,830,614,882,674,595,299,509,023,679,759,290,612,448,828,123,
544,859,731,508,242,756,460,322,669,847,941,202,159,541,881,528,121,737,720,
084,736,365,788,543,282,278,636,382,034,524,666,183,858,822,634,278,483,301,
058,620,523,048,351,418,762,908,728,778,210,041,299,168,716,627,152,816,150,
192,852,111,726,233,247,392,178,707,215,615,005,810,763,580,282,948,554,808,
253,632,742,526,443,549,270,471,563,447,113,369,908,663,466,718,900,898,440,
129,786,480,495,918,309,586,303,816,917,558,436,457,160,657,853,189,934,414,
040,029,129,638,395,786,244,498,284,080,626,336,735,475,797,337,557,472,161,
256,431,995,789,340,426,809,823,551,010,953,262,107,544,517,460,617,265,112,
709,441,105,952,977,563,455,720,999,868,923,529,624,953,036,899,867,920,008,
906,335,890,311,486,389,370,844,847,957,281,308,702,776,115,634,727,153,609,
247,905,493,975,301,024,199,762,267,291,299,576,728,107,364,614,182,472,376,
286,908,418,437,847,653,568,002,008,359,122,219,300,061,615,531,120,456,476,
504,201,768,343,893,623,542,817,563,032,762,387,179,572,940,274,897,501,299,
029,734,755,514,614,632,190,422,861,750,243,023,096,392,400,771,852,173,312,
267,694,512,987,399,621,658,178,472,495,727,885,291,487,071,074,543,597,600,
729,737,248,196,828,260,409,990,925,614,548,143,075,885,151,794,101,819,077,
346,074,817,389,444,133,905,597,104,806,118,758,524,435,160,460,091,123,062,
244,942,920,115,839,026,258,269,298,316,323,137,833,610,032,522,727,848,457,
564,486,780,094,976,642,046,189,413,375,081,843,383,989,532,078,892,319,128,
324,490,207,449,232,538,047,765,009,925,365,643,705,468,923,204,841,566,718,
574,542,663,447,672,915,901,644,643,850,431,148,929,705,318,011,034,425,267,
485,293,129,217,776,949,874,504,618,797,986,452,677,231,638,233,088,161,809,
642,584,820,281,942,668,470,690,315,529,731,042,779,678,237,977,426,457,087,
932,670,055,970,962,780,641,885,703,836,429,633,073,721,069,789,238,676,382,
238,285,837,209,631,072,109,315,078,174,485,548,052,424,918,773,663,205,280,
477,700,418,639,314,017,456,644,907,796,539,358,099,002,425,652,171,031,206,
688,042,015,668,938,577,881,192,919,539,439,763,941,877,336,408,433,148,539,
567,871,674,156,993,536,043,663,099,508,681,908,535,883,685,420,813,962,285,
895,001,362,393,957,590,395,653,757,723,906,794,444,834,548,314,027,887,683,
801,382,364,031,138,649,850,860,970,330,192,379,652,421,033,336,678,870,173,
665,557,829,122,199,503,495,750,420,388,626,100,630,460,954,646,022,498,305,
160,639,755,985,835,569,725,344,148,777,717,352,517,056,831,258,152,626,660,
141,227,967,862,452,028,010,670,591,528,233,333,351,801,430,872,596,302,744,
255,763,147,767,227,503,173,313,982,112,088,606,413,211,272,575,885,941,890,
281,595,921,266,134,517,314,412,447,594,965,123,519,565,627,920,795,272,075,
079,326,561,240,701,902,829,479,246,151,812,609,800,868,744,186,991,053,639,
528,657,490,101,600,982,421,308,108,081,402,113,925,534,778,112,666,207,110,
713,355,538,191,818,007,832,401,014,865,739,939,258,509,334,207,350,169,094,
875,735,197,228,981,058,486,411,398,671,803,279,726,603,824,923,865,866,337,
636,869,688,718,971,839,013,997,323,618,210,895,655,524,121,375,681,500,367,
867,729,807,261,334,460,243,159,886,668,941,924,640,086,781,231,864,560,451,
729,683,026,052,556,947,825,234,587,273,102,121,135,839,700,578,287,551,097,
667,197,646,247,667,658,164,499,927,593,876,782,318,184,891,352,620,627,131,
206,699,877,586,708,465,998,392,342,489,206,787,175,601,367,795,241,071,095,
620,069,388,144,630,878,532,627,223,454,706,457,809,157,017,598,898,137,931,
620,428,990,147,542,945,848,617,029,094,036,578,542,646,959,087,370,347,947,
316,139,060,470,568,625,469,124,131,086,940,700,230,738,133,748,751,096,897,
825,031,213,989,309,540,836,999,673,775,650,474,222,373,428,855,430,372,533,
311,886,779,929,112,910,262,923,481,969,623,133,919,376,994,759,416,206,948,
147,534,756,091,343,918,923,398,304,094,844,564,617,357,645,986,416,079,485,
163,004,669,278,472,081,123,294,713,854,895,005,328,365,526,756,177,246,544,
118,987,222,601,763,524,154,028,133,856,304,520,021,550,106,609,330,503,306,
751,874,932,517,278,918,201,045,339,865,503,417,781,237,416,559,300,730,711,
587,038,414,170,893,885,890,414,999,308,213,487,174,426,039,299,444,736,338,
353,300,036,394,137,367,599,253,857,622,406,373,614,806,097,616,484,055,705,
615,262,682,151,980,741,974,393,625,236,173,939,528,127,970,858,381,603,375,
245,420,010,182,960,338,559,907,294,317,519,966,367,308,039,064,674,748,294,
083,392,161,660,250,365,543,824,388,159,764,408,476,392,082,318,262,444,402,
580,218,514,444,340,225,648,776,661,288,532,471,089,336,315,184,426,776,159,
193,564,705,509,834,202,927,749,183,653,613,496,157,815,992,302,059,850,502,
076,509,556,092,066,020,633,436,855,360,174,983,606,175,697,894,433,447,021,
598,731,401,931,789,871,788,162,754,416,426,689,793,236,615,114,991,047,010,
892,480,650,708,709,607,807,115,194,444,794,255,998,204,351,821,161,494,289,
393,851,094,873,560,743,161,703,557,459,756,893,687,155,638,089,354,451,233,
020,032,943,271,046,402,790,625,654,332,102,521,189,376,002,809,511,630,243,
647,172,721,864,728,890,760,180,563,874,921,675,959,476,451,885,759,580,348,
311,182,801,032,250,381,319,539,074,020,483,717,542,649,293,956,584,998,288,
714,038,142,648,790,745,014,873,202,579,175,694,606,482,374,843,800,587,498,
091,108,791,414,588,118,097,124,281,592,041,158,575,210,513,478,758,297,704,
361,425,951,440,592,096,385,727,725,852,035,846,776,371,494,704,794,914,833,
058,122,687,544,766,971,789,662,137,783,733,541,333,001,015,747,002,813,815,
591,228,848,911,746,329,476,120,585,318,173,981,018,491,077,898,489,137,504,
357,872,570,864,133,479,357,832,764,830,995,038,314,300,985,010,995,316,862,
173,766,450,196,090,261,275,868,906,291,720,140,608,977,229,670,465,496,573,
498,045,301,276,359,847,040,167,198,369,085,253,899,168,870,554,797,604,275,
789,358,101,760,560,523,084,598,332,227,806,666,791,801,918,312,409,195,841,
998,213,857,112,858,758,630,168,013,393,377,820,517,295,183,141,552,946,438,
803,990,077,460,544,690,782,004,521,501,040,992,529,474,361,918,982,439,394,
340,096,705,475,256,267,188,833,398,875,835,479,598,136,474,691,070,114,105,
618,152,719,067,312,505,515,325,109,267,613,011,672,070,304,728,476,802,844,
118,906,604,732,402,706,490,242,324,201,118,954,906,640,019,006,909,455,969,
812,874,088,895,021,553,180,442,294,579,529,187,276,982,821,050,951,523,035,
010,455,869,117,994,571,404,960,480,201,830,352,901,376,754,464,529,157,120,
984,348,877,432,408,294,011,602,385,240,729,082,447,205,875,160,640,804,889,
079,834,346,122,925,388,882,459,660,282,161,230,938,983,494,606,499,176,762,
098,095,642,474,476,449,734,935,630,948,713,078,596,124,815,667,988,635,324,
507,445,658,406,125,684,317,225,732,406,536,444,833,030,252,757,973,083,359,
918,861,355,051,711,150,784,821,722,660,783,112,785,361,859,884,287,805,545,
391,556,348,070,014,089,873,821,102,577,359,844,759,666,765,426,450,334,149,
176,429,596,198,237,691,301,448,727,854,121,550,495,651,681,908,967,182,781,
779,788,038,209,864,341,296,253,112,561,870,118,375,267,422,583,665,453,856,
661,273,702,716,702,018,319,644,108,991,807,603,613,733,479,040,328,040,223,
524,135,491,909,478,438,130,394,257,103,608,369,529,781,780,723,301,597,287,
595,466,783,429,690,786,727,216,282,612,535,481,293,359,145,931,240,424,034,
264,157,223,063,128,650,494,237,347,561,725,475,485,286,008,239,991,629,249,
984,935,284,036,063,302,226,654,785,393,901,818,702,062,076,442,218,717,671,
750,598,706,846,691,055,303,304,806,316,323,568,055,599,693,946,021,969,463,
120,938,998,372,007,244,873,174,933,037,650,204,472,931,684,976,720,450,436,
308,667,336,534,993,477,386,883,885,032,710,939,095,264,818,863,714,018,938,
038,405,158,950,604,888,732,248,077,585,434,448,377,707,067,252,225,590,240,
562,713,955,882,425,110,455,506,205,921,010,658,280,689,179,979,823,110,291,
908,395,702,581,074,539,131,280,112,031,813,806,863,279,848,102,060,630,536,
717,840,612,230,934,105,949,223,908,514,322,398,447,908,903,859,673,851,928,
147,018,562,996,170,717,902,137,040,498,168,225,179,678,013,470,854,321,494,
186,684,124,332,503,823,309,833,231,110,473,966,541,409,502,483,315,285,061,
217,203,371,581,624,927,155,923,593,166,608,449,276,289,835,994,567,026,597,
072,991,394,190,127,068,691,779,960,944,231,350,302,927,854,194,289,392,342,
797,382,228,016,364,684,897,660,396,413,612,951,059,947,038,667,327,006,312,
478,017,895,414,729,192,257,196,509,088,636,269,635,741,988,692,319,446,170,
621,186,487,873,843,039,393,656,016,657,299,978,736,251,304,287,388,609,731,
429,989,840,687,660,900,122,003,902,034,450,882,493,193,158,306,522,442,683,
707,026,290,942,085,570,060,030,968,284,966,957,704,271,108,178,833,117,996,
443,258,844,097,028,236,173,140,827,254,873,778,260,750,741,152,867,767,696,
591,526,858,509,422,819,435,994,417,904,377,969,819,760,021,264,636,603,027,
056,674,952,839,017,157,918,852,800,280,086,799,834,832,427,186,203,194,965,
217,242,457,598,612,000,777,417,891,702,585,710,518,838,374,071,693,401,031,
545,154,151,436,727,425,241,765,255,021,330,821,294,645,842,264,066,374,387,
672,802,151,755,567,042,329,326,355,265,997,974,930,220,605,095,822,875,394,
060,525,989,315,149,609,621,715,406,619,497,109,988,103,762,240,654,222,548,
187,952,170,624,229,938,941,934,466,478,012,335,558,308,981,564,220,676,102,
356,384,955,527,012,998,655,022,958,949,368,484,655,929,588,888,404,507,377,
765,270,216,923,226,265,203,981,714,549,732,201,656,777,636,363,993,365,526,
163,777,756,029,653,369,150,304,805,052,489,443,692,765,950,901,527,974,514,
468,660,451,683,257,321,638,953,522,123,611,856,853,213,731,306,642,024,213,
309,437,565,161,735,622,539,434,706,881,619,767,957,854,005,667,687,408,947,
124,546,223,286,249,000,372,473,352,536,568,329,602,426,936,148,600,807,373,
554,182,602,532,679,958,729,475,049,824,514,734,199,143,297,456,283,841,202,
991,484,946,137,386,218,818,359,964,791,296,959,271,002,314,806,933,165,998,
337,699,778,496,864,863,258,890,195,817,773,987,661,012,785,070,534,172,297,
488,638,122,573,550,696,290,443,799,290,602,272,296,403,369,026,328,929,900,
571,253,928,229,375,647,857,100,808,070,484,781,897,431,927,861,015,535,431,
138,192,985,060,183,717,054,617,429,007,672,636,396,746,066,767,130,544,139,
122,539,807,687,788,923,324,624,357,316,948,081,942,156,593,221,819,452,439,
465,338,935,304,053,757,536,738,475,069,844,335,109,531,895,642,522,254,962,
252,234,288,763,373,049,983,992,293,093,551,693,105,419,730,436,966,078,045,
215,866,941,545,472,988,754,847,870,708,576,506,385,650,619,508,365,859,343,
707,344,860,792,841,836,992,672,576,928,976,924,063,368,536,969,567,420,401,
103,034,934,896,313,523,469,817,484,245,905,772,816,790,865,623,694,383,145,
539,846,582,204,374,672,993,073,652,764,122,875,260,434,937,977,401,023,974,
983,149,949,871,114,657,946,424,966,929,293,525,103,905,733,641,201,433,111,
822,486,443,248,319,124,783,672,775,817,218,816,100,246,920,875,754,063,311,
754,906,156,626,033,058,397,565,688,747,151,491,547,562,343,802,205,030,054,
190,835,620,264,791,224,230,123,090,293,324,553,654,544,533,362,850,238,195,
708,724,663,929,477,310,155,778,929,488,531,163,959,811,183,965,660,633,487,
823,630,806,369,322,647,232,541,159,465,461,895,949,362,681,232,251,888,881,
655,676,035,679,006,724,579,399,683,558,386,531,819,431,823,248,631,577,675,
655,461,406,811,276,208,035,421,575,945,992,735,166,261,633,677,586,249,150,
938,469,624,835,593,786,527,444,000,937,486,133,917,816,627,992,255,520,927,
689,374,154,380,306,317,991,603,081,203,030,012,970,186,423,145,587,037,401,
714,994,382,790,400,261,240,049,881,997,211,332,412,762,136,454,919,724,366,
111,145,152,350,522,117,309,173,129,156,262,034,623,223,932,182,911,096,338,
820,569,333,908,955,737,246,162,021,659,659,563,962,960,168,923,540,395,987,
324,637,228,780,237,233,875,355,131,596,689,251,503,994,521,982,199,751,740,
487,541,168,798,745,209,074,863,418,287,783,350,493,169,492,072,255,024,795,
866,709,685,823,411,813,522,392,257,763,829,149,994,462,404,602,571,374,865,
024,361,208,189,037,452,258,304,310,767,531,411,346,984,020,511,408,716,426,
111,194,518,649,130,142,864,715,000,897,730,412,369,565,124,887,253,952,899,
273,581,181,356,201,773,631,050,295,529,686,167,253,837,879,954,713,876,634,
855,724,941,864,228,445,021,012,371,548,843,168,797,807,839,975,381,853,477,
804,936,966,322,512,674,431,065,888,911,008,782,449,335,697,147,323,865,135,
295,372,009,283,339,665,595,526,561,190,301,663,095,195,711,773,791,256,440,
788,614,413,751,752,545,679,904,612,130,006,460,513,069,320,347,662,812,539,
356,671,480,221,488,149,881,219,856,628,229,594,937,437,098,638,671,492,871,
999,301,033,711,344,699,774,330,573,957,015,135,543,189,733,652,391,320,413,
160,711,521,765,170,498,325,333,346,981,932,284,400,723,756,090,399,552,732,
121,611,243,970,834,766,228,369,312,436,025,473,794,137,232,208,841,817,837,
394,604,403,254,360,064,663,574,379,554,408,827,044,692,095,205,719,544,844,
010,945,552,543,470,403,523,465,583,509,025,197,376,111,939,112,842,475,680,
313,755,643,340,433,719,413,820,813,304,690,250,004,447,893,681,951,389,992,
472,861,421,561,238,948,565,150,283,823,147,627,547,432,063,242,421,209,721,
914,970,254,000,139,403,088,892,214,739,971,074,957,155,563,345,439,013,182,
103,300,104,201,287,060,215,314,545,739,004,521,288,920,787,089,489,755,515,
620,681,266,653,501,361,052,332,905,863,193,344,659,434,255,123,753,890,501,
982,443,579,910,715,245,560,630,152,942,837,272,324,094,200,776,765,871,796,
640,480,921,358,841,952,536,449,527,470,509,782,907,957,662,941,275,311,427,
230,640,119,915,073,073,317,118,111,260,541,788,496,374,915,266,785,737,055,
982,172,893,250,222,104,605,448,322,276,849,846,977,112,873,712,006,760,274,
767,436,672,211,474,865,868,306,589,607,495,747,154,790,379,711,766,670,600,
787,254,748,174,408,722,462,803,966,313,894,275,797,783,968,536,521,759,468,
661,419,289,001,612,151,624,431,118,012,543,494,103,137,827,535,863,719,648,
490,513,540,365,448,183,183,821,094,742,425,733,031,807,612,861,459,312,576,
100,843,390,826,812,301,918,299,567,405,192,958,156,128,398,332,893,923,722,
805,388,314,210,763,109,159,743,371,658,146,851,831,616,365,834,261,104,761,
812,590,903,235,575,132,059,375,663,399,191,671,089,035,949,434,871,809,699,
740,511,638,034,653,640,371,850,086,850,586,052,495,286,541,655,045,530,091,
327,927,325,819,336,910,669,585,800,754,935,809,216,774,097,359,168,908,033,
354,346,238,741,937,930,408,807,583,307,193,423,359,744,929,640,890,919,230,
014,915,462,734,462,272,878,935,198,653,054,578,456,824,831,078,192,472,956,
178,092,782,222,067,533,360,251,177,999,408,273,077,822,131,253,575,194,030,
240,358,107,754,997,063,627,677,597,528,129,154,512,050,915,923,536,495,709,
364,137,770,968,111,965,756,719,981,371,279,124,019,018,165,175,261,241,312,
148,470,721,780,829,437,912,441,540,723,161,900,825,436,213,511,296,114,483,
229,395,185,657,892,815,667,316,000,631,598,642,519,433,400,682,395,516,572,
064,942,978,190,753,671,624,497,567,982,208,528,227,908,214,713,866,938,788,
962,751,788,559,910,982,893,286,942,420,080,782,869,580,164,854,496,547,962,
522,104,006,595,964,364,866,468,779,022,935,365,434,602,312,874,340,858,543,
285,419,206,642,256,112,407,734,362,143,379,515,389,030,838,772,597,614,835,
040,413,934,585,273,947,183,014,663,676,514,757,961,968,429,194,479,128,507,
490,176,376,076,281,972,489,484,422,008,298,339,988,903,294,176,219,558,422,
961,097,109,812,615,720,233,704,553,235,814,896,467,840,368,309,248,059,082,
289,731,850,802,710,564,234,105,866,349,831,239,888,047,125,788,687,731,099,
421,260,408,746,623,453,934,357,881,770,742,030,881,969,976,644,621,789,103,
939,488,311,599,140,671,710,386,907,459,993,709,367,193,415,898,776,790,626,
941,961,193,796,520,141,074,040,915,451,636,161,055,432,975,884,906,243,950,
147,014,511,000,088,742,847,757,700,576,798,198,790,316,310,061,703,587,725,
501,429,329,133,947,025,243,246,470,652,835,027,619,939,474,143,550,425,870,
587,693,473,409,724,754,784,768,889,995,992,501,534,616,849,026,437,797,033,
615,898,219,701,139,555,083,407,193,709,892,228,803,911,054,380,006,334,512,
254,114,758,937,387,081,863,590,886,248,113,590,201,192,606,005,852,643,658,
210,903,120,744,540,971,528,334,499,821,485,472,520,070,039,264,456,008,153,
919,091,646,071,451,372,174,945,243,146,356,523,385,340,037,573,126,794,430,
140,878,020,901,065,957,236,547,343,992,906,780,223,776,891,642,127,425,545,
651,254,672,715,382,385,872,686,756,337,907,344,996,541,771,042,932,871,629,
674,829,425,583,171,907,652,777,583,534,841,409,213,523,814,794,581,314,015,
197,074,145,026,277,885,896,776,162,971,675,154,491,274,390,859,616,483,035,
935,392,144,267,794,204,118,811,249,954,649,794,100,781,095,678,202,738,021,
818,529,661,271,836,574,014,372,262,545,685,981,086,676,611,481,409,035,949,
227,824,298,810,227,548,003,455,014,289,581,075,564,529,065,044,384,508,316,
205,227,530,640,939,771,669,156,138,535,199,065,045,194,808,894,850,668,130,
467,700,891,896,958,497,485,245,850,304,069,553,518,750,570,400,508,825,330,
216,393,157,162,264,247,966,645,099,490,071,348,212,352,579,161,595,101,434,
873,047,215,583,370,680,460,799,757,057,971,553,143,527,984,338,276,614,659,
749,427,270,567,303,157,668,774,887,773,678,047,179,493,016,398,076,193,800,
685,139,173,449,123,938,730,627,638,672,997,245,895,250,544,770,559,789,336,
206,444,468,439,523,974,606,030,929,430,948,787,093,950,549,618,224,842,491,
787,100,934,080,804,738,544,220,886,350,173,418,940,237,484,793,987,426,462,
872,144,569,423,088,247,369,638,021,726,166,485,815,400,798,804,859,583,722,
372,785,654,114,950,307,977,933,313,644,171,702,111,145,685,349,099,123,554,
709,116,904,095,554,264,080,528,183,811,424,494,652,446,448,369,277,403,504,
198,494,919,241,987,840,286,926,647,405,108,947,409,768,959,125,180,418,384,
573,812,056,816,056,749,006,729,876,032,532,745,212,620,462,320,297,115,747,
276,332,521,642,776,388,784,329,565,717,708,171,887,842,522,089,968,158,646,
455,182,204,791,822,242,367,832,244,558,428,721,686,953,870,114,499,294,797,
722,108,564,286,936,344,673,638,371,615,428,607,052,143,078,414,377,179,831,
655,975,684,898,579,457,000,847,997,094,435,701,304,339,103,813,071,874,244,
475,908,827,581,099,483,775,037,625,844,675,585,912,252,108,336,203,317,390,
971,761,008,539,728,589,640,756,941,041,820,252,676,912,309,034,721,307,425,
212,376,213,738,181,531,181,811,141,274,492,672,064,864,604,289,961,817,375,
052,283,016,876,475,399,728,424,693,779,719,381,833,784,545,856,350,947,093,
137,777,730,937,074,187,626,242,805,929,924,054,705,921,689,096,893,329,460,
688,828,428,481,014,587,978,395,964,425,816,079,632,785,172,779,131,128,821,
156,544,731,901,151,757,892,569,819,799,947,768,047,729,007,443,581,533,271,
589,963,152,851,093,268,649,844,996,976,380,153,509,493,594,102,804,148,412,
801,046,135,238,628,744,455,345,380,664,267,207,987,144,119,513,366,957,353,
977,649,295,605,670,012,645,816,537,810,423,877,521,518,177,689,236,261,464,
490,699,345,376,131,208,209,125,460,532,187,490,162,163,836,589,451,907,651,
642,475,734,004,416,519,321,053,895,434,656,021,651,550,181,916,837,324,929,
381,893,431,864,827,827,719,674,607,048,442,141,397,541,157,683,909,498,822,
485,037,852,708,255,097,673,355,700,058,168,681,081,381,605,390,535,771,716,
429,940,860,072,958,549,106,905,608,713,933,804,522,735,985,850,564,126,447,
614,081,885,571,881,340,035,617,036,501,195,803,774,916,338,887,470,379,732,
481,412,638,197,951,964,653,522,044,226,837,463,614,179,414,052,374,348,967,
605,108,152,496,727,363,132,839,635,574,337,090,313,424,267,759,416,770,101,
071,540,796,787,754,381,499,227,414,745,316,524,753,084,256,176,454,499,846,
520,942,593,143,627,988,302,809,064,006,408,984,362,702,673,136,483,386,267,
919,319,067,833,746,681,470,440,731,819,431,503,720,662,131,700,638,328,759,
289,939,432,314,705,279,940,227,852,844,256,500,459,696,781,548,764,858,467,
235,430,575,094,062,714,537,286,130,763,168,135,448,765,275,808,206,387,584,
409,064,122,656,912,919,800,946,017,626,127,345,494,137,932,243,800,953,789,
098,001,999,492,163,401,795,682,331,256,705,255,085,766,836,800,728,665,388,
536,777,977,536,272,593,403,738,616,122,923,262,836,808,913,113,659,899,480,
425,195,491,435,744,107,693,692,348,705,074,610,865,212,641,086,553,856,940,
028,066,112,634,834,580,321,991,390,685,667,426,612,887,099,535,584,153,143,
332,915,394,385,562,702,407,180,300,437,390,615,899,648,025,217,461,167,267,
439,823,609,298,630,944,896,610,846,833,969,926,196,325,620,029,697,303,632,
652,628,147,037,387,132,604,639,375,393,441,429,315,150,798,271,865,664,788,
675,943,167,529,175,312,281,226,210,323,191,477,873,480,483,377,651,310,776,
110,929,476,621,422,623,370,418,811,777,778,169,762,385,140,099,382,918,686,
515,938,398,228,114,106,216,975,140,936,953,961,753,832,142,357,105,919,633,
106,345,536,415,864,453,592,259,176,638,104,202,228,908,212,940,844,571,845,
371,884,335,945,870,411,736,191,352,811,194,442,098,518,352,145,506,665,347,
074,283,687,209,450,013,161,338,885,437,965,684,184,574,469,062,614,875,253,
348,059,692,465,565,164,346,760,390,831,311,592,032,796,924,764,950,075,250,
012,960,182,682,487,938,935,318,259,362,410,243,381,826,378,386,557,660,182,
884,836,187,415,015,498,173,825,698,840,508,679,814,451,937,884,011,123,170,
778,400,802,070,747,507,167,876,039,686,020,551,016,890,862,555,173,025,488,
212,478,240,870,863,133,907,591,247,190,729,166,311,501,657,640,637,364,708,
962,525,538,159,160,448,879,056,552,730,366,018,566,080,884,216,929,375,756,
648,106,051,495,171,841,776,171,332,854,089,984,474,014,868,312,371,054,856,
300,782,236,991,602,784,234,437,115,120,610,513,647,218,945,744,452,022,594,
745,878,626,407,269,151,046,476,752,756,118,260,783,982,083,480,759,950,693,
634,843,200,154,843,607,880,455,548,403,307,215,182,841,921,697,011,661,834,
064,020,809,991,164,317,853,631,202,274,003,943,975,063,964,956,420,907,808,
095,754,578,266,283,806,221,219,661,661,187,078,824,167,767,882,673,157,324,
581,422,478,892,446,379,805,011,233,594,980,764,245,860,737,439,449,458,895,
572,580,065,583,250,552,878,656,706,088,313,959,069,185,934,898,087,144,704,
548,942,939,605,692,630,759,520,765,177,262,115,787,404,042,332,339,130,051,
767,905,562,077,764,143,937,697,486,317,250,551,588,841,662,963,932,399,030,
501,887,594,624,630,017,880,252,424,890,194,471,588,899,802,227,402,129,399,
300,321,699,582,460,779,457,991,715,927,217,370,266,807,091,885,198,518,543,
122,695,485,797,168,472,311,149,831,717,118,099,934,113,143,030,358,166,135,
352,362,332,587,215,974,475,455,632,561,424,752,280,885,959,063,497,808,590,
951,685,306,232,633,647,595,949,762,419,881,748,603,783,236,730,849,775,802,
882,341,948,356,344,252,110,587,107,653,319,150,756,375,219,606,275,370,348,
959,334,094,530,771,012,077,529,450,381,549,591,788,511,925,973,107,151,945,
779,381,520,239,735,631,550,088,159,302,364,954,537,588,063,443,403,316,172,
653,144,686,798,539,705,647,710,082,902,728,383,839,729,038,950,311,711,526,
403,887,814,671,787,135,579,975,788,470,909,058,958,769,331,657,153,931,517,
690,517,255,043,155,977,902,742,764,736,400,101,389,271,389,002,210,742,208,
304,573,373,529,306,347,975,677,491,930,030,217,368,430,638,503,666,143,949,
647,260,310,178,649,413,936,475,179,934,702,699,136,402,841,311,073,944,002,
716,644,867,323,176,089,093,120,616,969,688,540,653,613,067,676,084,014,537,
908,939,684,353,146,221,097,253,499,521,574,357,658,928,531,206,710,114,742,
378,464,426,141,024,077,978,631,678,806,561,807,854,773,506,351,342,518,048,
619,152,454,501,775,327,351,835,322,947,375,502,209,909,042,640,530,982,652,
662,251,995,199,717,973,367,511,672,595,833,754,809,875,141,468,692,726,039,
200,697,709,612,881,585,211,980,451,293,145,269,750,880,330,444,826,629,831,
373,005,061,820,686,139,298,260,695,724,770,161,362,586,341,165,369,223,542,
616,087,122,828,587,511,337,636,498,669,482,286,867,990,781,940,499,911,903,
778,634,181,185,645,051,643,752,620,952,520,445,392,299,914,845,980,727,242,
602,540,922,093,971,647,225,606,652,463,482,574,286,394,619,565,464,172,829,
311,677,676,257,322,217,314,129,115,133,011,099,544,684,295,623,434,467,177,
046,020,304,351,488,166,374,761,321,836,303,032,987,432,125,844,081,839,484,
658,392,663,574,070,798,987,525,761,162,560,873,115,577,300,976,974,724,042,
781,292,417,488,772,859,252,786,147,805,706,963,206,284,098,668,463,172,747,
294,364,641,547,775,848,054,606,413,604,194,920,829,736,533,499,545,315,982,
123,116,842,745,370,682,969,888,335,219,758,593,777,226,618,550,334,968,286,
175,495,391,693,248,753,109,914,741,082,403,038,723,596,780,776,009,367,275,
915,199,437,568,588,255,700,373,847,663,741,536,195,878,121,470,648,529,164,
839,722,255,137,438,985,569,829,305,842,562,706,093,568,582,936,234,809,841,
393,559,231,219,693,882,636,726,646,579,293,646,117,452,522,904,971,653,698,
773,905,839,086,627,517,531,717,658,097,024,663,789,966,198,880,377,445,947,
426,681,111,045,345,403,871,914,901,030,284,158,772,074,731,611,334,996,718,
033,683,145,291,370,053,687,812,472,448,113,407,962,112,425,104,627,899,015,
193,722,155,693,176,583,052,398,439,373,782,528,852,294,699,293,576,758,907,
909,581,946,534,700,448,098,700,302,935,302,628,925,450,604,393,341,835,526,
033,732,180,542,540,703,746,610,853,465,601,858,531,247,743,986,069,783,700,
382,219,248,288,175,464,533,151,891,913,599,849,369,534,724,767,648,306,271,
045,023,816,482,091,221,097,017,301,074,087,266,698,254,330,728,322,845,545,
864,614,884,110,793,758,322,951,903,666,627,706,669,994,768,691,793,144,850,
053,203,476,668,632,065,114,751,906,376,378,692,368,352,186,397,025,001,213,
437,886,100,845,284,778,742,348,313,088,775,102,693,488,411,798,280,563,626,
157,119,734,129,958,118,950,412,958,125,109,676,590,800,340,613,142,654,908,
235,437,625,954,390,537,379,285,793,498,154,160,567,466,929,945,116,058,002,
804,347,562,257,815,753,596,341,510,276,855,929,088,384,907,040,141,593,077,
421,797,113,820,735,415,909,561,895,875,974,530,608,405,903,514,780,807,425,
843,862,658,896,830,432,156,895,279,359,361,539,851,623,098,227,228,514,769,
248,759,047,818,961,268,522,690,891,021,618,443,667,700,556,648,170,961,188,
235,593,526,904,698,334,712,965,638,988,544,244,479,561,915,239,661,888,894,
128,991,734,155,030,846,632,679,512,903,768,186,299,351,403,799,983,505,357,
579,474,679,281,760,936,054,201,555,166,067,712,128,600,176,601,481,504,914,
766,454,201,206,168,457,200,147,624,351,887,755,617,301,392,390,836,316,181,
983,251,512,768,205,803,982,620,616,177,663,542,309,496,159,190,545,885,014,
714,835,329,908,121,107,615,253,146,273,489,533,454,389,035,683,736,259,158,
480,638,678,309,710,388,607,021,173,873,997,772,152,763,741,840,679,888,648,
779,709,291,990,430,073,553,563,119,077,640,530,387,753,898,840,484,985,369,
911,822,818,969,615,857,666,385,135,016,906,624,061,600,533,364,070,892,816,
085,778,866,703,521,934,986,407,125,362,054,670,811,944,451,982,763,960,116,
199,322,597,109,866,020,320,727,271,821,280,540,059,680,221,308,174,854,698,
460,103,477,146,009,227,491,613,363,977,488,959,820,892,073,074,637,904,706,
291,515,656,645,035,125,245,043,663,817,197,750,149,757,224,906,309,563,873,
171,503,177,658,654,318,644,251,459,872,560,268,431,272,209,009,393,229,188,
480,013,210,362,039,004,983,181,158,190,834,623,632,870,879,837,545,509,237,
547,429,252,602,652,665,636,051,322,038,616,440,360,395,443,066,353,119,599,
663,936,590,452,781,857,837,379,442,870,479,231,698,925,433,497,266,202,117,
134,129,547,368,863,149,491,375,146,634,773,328,003,448,352,323,407,720,693,
186,117,839,492,503,854,224,586,919,754,232,797,189,504,232,280,369,650,686,
944,868,379,665,180,203,317,008,544,011,309,096,255,322,836,508,412,425,414,
015,464,843,402,606,996,064,017,762,816,654,095,570,117,150,277,954,154,707,
813,909,496,457,092,391,298,694,642,091,927,630,124,033,682,826,970,535,901,
715,902,894,886,159,500,773,631,406,636,878,907,412,513,097,241,428,214,028,
068,620,034,024,942,678,538,341,886,770,339,095,228,702,759,821,917,320,928,
985,570,596,023,550,558,084,827,740,585,421,369,198,410,282,495,918,636,515,
935,420,598,660,162,068,887,425,577,078,005,000,516,573,595,578,403,915,038,
247,213,742,356,372,411,555,475,137,520,355,624,586,011,256,136,521,595,172,
688,410,442,717,622,595,572,901,098,980,259,579,905,293,991,061,795,314,003,
815,229,935,506,342,557,609,302,550,017,173,361,487,731,779,327,677,490,336,
492,501,715,498,064,655,811,768,732,812,826,891,167,197,660,708,366,555,802,
374,786,885,673,388,383,903,762,947,412,078,582,301,200,824,594,229,785,374,
952,619,647,882,143,897,130,734,452,457,365,745,518,109,487,544,594,329,323,
700,527,247,648,444,380,266,926,110,881,295,559,315,204,410,298,003,491,643,
034,470,257,815,283,215,262,472,681,298,730,162,544,682,709,171,112,121,659,
173,785,252,980,686,558,773,673,177,434,535,048,565,826,669,078,632,105,909,
507,386,228,198,719,619,723,051,925,452,185,185,362,169,273,495,312,060,179,
564,249,073,836,870,186,701,361,802,950,798,702,309,586,815,745,478,335,541,
900,380,244,839,179,485,171,452,567,706,642,685,729,816,093,107,721,859,391,
093,359,845,458,709,574,571,602,290,741,132,107,491,378,790,236,949,356,661,
795,669,797,940,563,955,937,457,679,857,445,840,894,991,137,867,253,754,571,
514,372,666,644,058,199,340,983,895,687,525,915,375,082,849,678,320,275,539,
402,257,873,014,569,274,612,059,933,496,471,500,953,768,682,745,051,700,156,
229,360,392,711,080,578,502,395,511,544,242,044,104,139,971,751,184,168,633,
987,054,208,920,509,972,902,651,614,432,032,497,439,569,859,340,680,004,180,
406,268,260,621,484,858,333,918,452,441,769,763,261,276,700,257,700,009,849,
744,251,754,003,484,333,471,659,014,465,470,361,784,997,977,491,675,440,519,
472,150,444,684,577,920,663,910,074,792,212,922,759,007,200,025,178,040,972,
105,417,672,732,520,155,255,837,444,421,873,400,209,193,058,569,953,492,756,
894,371,890,382,932,019,657,495,708,857,236,029,037,746,010,941,625,487,971,
972,924,957,877,955,875,197,719,160,915,630,344,350,106,972,557,166,585,394,
449,826,201,480,992,930,744,050,886,163,017,486,094,778,243,252,304,301,692,
569,409,069,914,627,567,564,762,575,030,406,843,990,584,850,666,847,245,988,
317,641,848,389,359,800,810,359,293,726,569,067,754,684,726,988,384,414,301,
024,592,145,551,859,288,051,936,711,220,264,668,085,645,709,412,176,952,086,
031,213,992,429,017,624,052,304,055,986,238,568,883,354,747,949,781,956,549,
403,678,045,629,778,954,243,118,052,397,129,664,406,190,810,966,674,401,425,
975,962,790,296,932,486,096,511,163,005,199,545,905,869,325,053,467,944,111,
604,340,563,034,749,556,026,868,476,567,899,137,846,753,554,139,235,021,665,
275,026,135,660,790,410,870,297,219,160,399,337,676,312,543,736,376,120,575,
922,120,759,611,327,494,107,962,616,727,718,881,844,463,531,565,627,778,473,
969,211,897,908,666,635,406,622,436,429,306,661,566,700,668,630,971,817,280,
461,509,104,300,362,475,688,087,393,851,702,750,689,387,943,393,799,729,208,
459,069,334,297,555,529,866,990,064,309,726,354,718,022,179,134,540,452,714,
425,370,817,353,731,376,920,329,980,443,839,057,306,875,340,017,677,478,396,
378,513,370,702,568,507,822,257,350,906,824,013,825,878,764,714,274,839,019,
726,293,162,627,695,282,897,204,874,420,655,791,309,690,521,100,075,212,649,
353,174,389,075,207,861,478,326,026,797,788,760,848,938,423,110,866,192,005,
089,715,426,112,431,415,173,607,731,402,306,219,921,807,936,413,020,724,040,
329,942,102,712,997,769,194,526,749,393,848,186,553,947,390,384,744,550,863,
397,213,248,588,496,848,589,673,253,510,454,638,581,586,077,753,729,862,509,
110,351,223,654,114,852,188,863,731,413,174,277,272,484,604,411,206,208,406,
750,937,814,384,265,504,717,695,195,811,744,058,400,872,718,723,266,028,037,
548,356,424,237,293,963,230,552,754,520,276,586,020,164,536,654,734,370,345,
057,933,885,843,679,711,532,766,510,551,178,355,664,326,052,102,941,758,838,
908,920,851,508,576,741,995,984,346,790,201,644,055,548,115,921,435,288,503,
696,124,153,796,068,987,512,387,034,038,280,137,936,266,746,115,921,484,287,
593,339,831,482,102,739,912,838,881,022,977,216,800,274,561,667,501,961,667,
149,759,824,351,440,568,785,127,710,597,273,823,052,306,919,780,783,889,253,
009,547,103,938,846,936,255,709,579,141,931,152,992,719,717,386,684,636,119,
017,070,570,739,334,078,088,248,382,238,504,177,181,257,387,718,049,931,688,
497,418,143,854,901,312,442,538,078,876,330,648,624,769,578,056,931,858,516,
872,220,893,072,670,018,311,375,520,871,236,149,548,041,343,511,991,494,592,
812,601,114,374,005,753,540,324,976,144,816,530,559,473,290,161,793,917,064,
147,805,351,285,173,080,717,586,184,212,050,954,134,127,555,257,080,994,175,
345,211,069,052,643,725,912,586,723,206,621,148,060,676,753,779,447,027,124,
908,104,340,265,112,491,540,113,357,668,624,286,638,227,252,649,838,881,062,
376,680,993,551,260,265,795,296,728,302,569,590,944,890,931,530,286,547,897,
528,573,309,814,774,641,406,444,466,594,375,027,528,382,268,827,232,172,694,
847,163,072,032,059,303,299,696,636,358,002,319,021,313,581,683,251,912,135,
175,111,222,187,310,537,882,433,760,151,061,759,967,254,456,288,510,766,302,
288,094,091,458,106,059,968,727,315,971,399,150,758,890,376,949,887,642,366,
554,803,194,768,190,014,159,764,081,493,970,257,462,478,104,035,142,532,058,
733,316,513,348,268,173,787,002,799,785,210,978,305,742,706,502,259,332,583,
412,027,968,475,353,643,072,564,508,884,439,333,028,886,517,022,305,240,475,
436,633,295,169,759,226,702,971,632,193,032,394,027,272,710,691,345,494,068,
676,539,339,852,429,536,472,846,313,428,850,026,259,967,814,864,330,998,951,
350,139,699,963,686,652,762,774,992,454,173,759,895,316,007,583,552,158,712,
990,620,126,732,885,774,488,243,025,396,479,518,505,218,200,953,799,842,960,
228,870,189,858,008,448,205,029,171,948,135,832,620,481,612,008,574,378,053,
022,685,554,615,452,372,605,413,317,482,069,287,385,033,602,266,606,184,133,
646,360,047,041,652,225,211,456,943,931,988,276,412,305,127,764,333,061,918,
390,412,777,318,911,180,226,245,457,882,259,137,878,649,542,853,961,764,465,
309,565,385,121,792,681,409,481,101,093,190,475,347,201,796,639,136,105,810,
379,649,950,075,521,138,479,864,822,162,533,490,503,244,889,875,994,677,152,
463,033,702,628,745,601,813,167,486,375,643,179,260,311,276,848,656,648,328,
816,285,679,919,116,449,079,245,697,812,499,504,703,484,810,759,693,044,233,
015,510,430,392,225,692,194,142,450,179,776,520,427,508,689,400,881,302,736,
042,084,605,820,956,675,652,220,656,370,062,881,109,367,771,444,316,595,922,
454,507,915,570,245,170,892,806,778,128,718,044,981,461,434,687,629,502,606,
643,565,357,158,867,000,978,553,962,277,246,749,594,818,619,692,056,113,308,
206,326,046,884,498,436,068,174,391,561,403,668,705,747,032,487,434,734,965,
399,305,897,020,266,884,010,277,911,538,207,571,140,638,639,004,220,542,456,
154,207,303,388,714,008,407,763,394,922,647,234,338,238,343,781,358,507,115,
592,402,848,758,917,708,640,442,378,226,404,516,170,368,755,790,518,441,337,
579,714,203,178,655,308,718,176,216,074,853,891,104,265,783,004,575,609,393,
985,459,767,148,338,415,109,651,781,147,883,130,473,823,876,595,151,457,312,
490,001,641,521,754,029,165,851,174,305,456,909,982,511,448,886,781,886,132,
784,803,379,425,195,341,401,392,854,140,265,001,038,201,939,157,668,144,323,
006,469,409,445,350,034,944,784,637,990,354,320,110,711,549,763,480,101,706,
471,200,113,892,784,124,491,767,577,317,595,318,833,358,012,096,790,806,023,
197,921,779,395,691,480,824,047,601,532,407,204,863,662,244,402,907,192,740,
788,516,273,944,402,541,941,978,766,629,367,349,405,119,896,362,030,537,955,
952,870,208,150,763,056,276,395,539,294,522,502,505,195,836,048,514,279,721,
665,669,000,297,176,118,002,067,419,472,217,757,888,593,792,511,144,758,531,
103,673,379,027,126,734,055,351,230,110,507,969,674,623,366,943,282,438,095,
476,931,873,397,404,658,898,604,497,818,025,196,224,820,457,406,538,551,340,
937,434,517,766,964,650,854,947,022,610,318,066,775,022,240,644,998,112,678,
963,075,550,074,252,069,654,082,884,805,859,007,590,348,154,002,567,344,690,
742,568,649,104,023,409,660,902,165,824,625,864,833,354,513,204,356,673,654,
646,757,062,354,976,842,632,479,166,853,053,152,651,527,772,479,313,747,692,
704,581,031,040,551,942,457,346,590,358,655,198,546,995,210,030,163,308,468,
216,268,202,632,484,520,698,267,362,954,213,608,706,372,706,956,553,453,336,
479,121,230,440,257,730,794,170,436,057,763,907,452,728,858,676,944,076,391,
933,284,065,997,865,632,871,523,025,207,878,651,808,602,833,583,451,317,195,
099,814,952,523,973,097,209,489,703,751,618,223,415,660,697,151,269,568,319,
861,725,602,350,459,318,943,992,265,821,830,059,535,245,452,548,342,938,464,
867,414,816,338,874,013,545,353,518,573,741,812,946,901,839,432,063,317,998,
631,917,302,739,210,990,661,301,425,480,851,467,696,426,618,543,430,898,265,
015,152,178,573,023,383,102,706,283,883,940,359,580,514,629,998,375,286,798,
539,247,082,240,958,525,706,290,596,903,681,584,659,655,722,138,019,970,575,
114,995,367,573,504,040,925,903,089,723,348,977,801,478,686,180,370,180,779,
348,521,761,365,154,534,598,725,189,408,459,412,494,855,448,356,505,075,809,
433,832,084,117,419,959,466,590,615,899,221,301,066,002,169,947,985,092,939,
942,936,604,033,106,328,338,156,511,426,798,474,303,950,604,877,025,486,979,
792,822,261,675,527,548,334,769,108,523,172,528,649,350,359,674,884,832,203,
297,467,884,577,243,155,836,010,704,126,365,470,465,980,262,538,492,901,892,
613,260,132,941,654,239,757,663,861,888,586,570,862,485,481,033,167,281,852,
173,169,141,577,446,376,174,443,106,173,972,588,159,235,328,185,354,342,810,
334,723,524,182,133,549,169,553,331,738,581,532,346,871,295,191,538,367,658,
609,206,556,172,363,419,484,050,310,709,700,952,981,143,109,688,065,881,920,
416,622,472,186,228,329,459,135,176,609,385,772,017,113,358,765,050,145,406,
465,401,462,472,189,195,295,250,873,435,743,933,686,113,768,432,506,863,373,
981,210,984,885,089,879,773,953,333,701,243,285,943,191,692,325,428,529,240,
733,406,798,539,108,289,209,122,273,909,540,428,691,934,240,584,368,549,402,
203,181,979,592,249,462,071,370,102,350,229,364,472,217,941,104,951,074,743,
133,090,973,896,635,749,366,087,321,169,984,265,645,788,725,813,887,277,266,
172,980,099,564,439,612,423,805,909,372,886,131,931,727,625,541,820,733,143,
773,509,018,551,886,459,984,655,366,125,437,577,344,110,664,006,698,228,483,
250,922,499,511,750,106,198,432,815,730,461,616,941,435,172,033,346,575,743,
475,958,126,307,959,263,454,509,848,538,618,862,416,831,344,815,607,043,680,
162,548,958,710,927,568,845,388,642,668,450,510,335,823,245,071,337,460,034,
556,001,991,882,490,669,295,004,089,268,424,063,860,229,134,481,779,239,645,
693,572,606,779,188,796,564,669,397,046,697,767,499,771,197,638,393,481,406,
479,408,453,680,903,581,987,201,939,051,403,403,162,260,390,552,248,527,805,
902,035,659,614,781,323,712,022,643,407,335,817,387,653,042,075,819,928,491,
204,613,663,886,578,595,593,154,117,119,054,707,559,823,521,993,821,256,934,
976,784,919,135,762,879,456,340,319,741,552,109,117,165,916,309,901,574,536,
368,810,274,814,934,573,476,419,441,188,279,464,358,344,760,063,941,029,437,
087,621,213,885,594,431,942,237,968,736,513,583,714,195,250,463,756,017,962,
724,832,244,619,802,375,672,586,029,791,608,568,972,903,131,319,958,921,854,
217,907,570,355,658,316,537,702,727,369,208,328,305,837,433,196,557,119,122,
052,451,071,430,516,732,239,173,762,229,421,351,845,320,587,037,080,150,824,
535,021,353,686,908,020,146,616,027,371,313,319,230,121,435,184,342,103,171,
672,525,122,400,627,666,095,809,269,994,540,629,200,492,077,353,421,709,289,
577,070,639,846,629,530,163,973,029,752,981,605,902,791,198,142,552,065,250,
199,944,948,205,800,322,909,050,604,616,375,041,791,972,288,164,341,989,561,
040,863,507,133,966,231,212,418,118,487,638,957,604,494,311,133,657,430,738,
149,444,132,173,082,842,405,225,339,790,187,939,692,886,069,424,365,765,675,
006,952,845,118,216,537,288,367,711,207,127,476,010,000,482,480,925,717,986,
602,771,459,231,219,105,105,816,425,788,489,710,612,073,081,277,481,916,234,
891,084,697,546,877,952,952,783,665,465,654,150,992,160,705,130,608,174,731,
791,292,112,471,299,141,643,335,312,563,835,824,764,128,678,108,666,405,595,
494,013,657,073,857,090,392,347,120,196,231,720,467,117,782,672,786,770,699,
796,707,685,937,517,751,205,435,622,893,619,422,006,010,562,893,599,189,459,
473,608,418,638,237,560,657,235,354,449,682,081,386,939,310,531,934,352,892,
013,166,154,005,459,593,034,063,626,434,091,786,121,194,752,343,277,325,374,
174,283,109,116,613,195,319,250,117,617,113,508,072,610,235,216,536,670,078,
147,540,564,902,072,373,441,120,790,749,194,296,068,240,967,697,946,140,435,
103,172,928,204,619,802,277,473,592,004,112,588,795,386,945,646,622,603,700,
125,460,756,476,301,615,850,307,295,511,483,591,234,896,963,861,785,687,848,
306,347,341,518,046,927,729,640,951,264,043,364,757,273,752,232,737,534,454,
710,255,754,125,954,661,121,380,849,290,437,784,289,682,369,514,479,050,162,
310,156,797,614,715,885,952,072,532,239,604,704,977,528,259,731,128,678,143,
788,019,423,793,629,674,900,087,755,637,753,854,724,015,059,672,960,314,313,
150,535,291,202,685,774,894,485,526,896,085,689,479,386,240,345,025,942,043,
348,109,205,674,836,737,491,853,281,726,899,488,015,597,350,660,394,622,457,
149,358,347,105,611,104,425,177,809,042,635,154,924,243,473,547,618,167,981,
785,652,590,467,245,650,787,258,604,369,343,777,299,820,461,919,195,046,239,
082,449,285,097,862,483,248,726,620,107,427,802,484,822,887,606,149,519,376,
129,083,735,852,441,917,455,023,143,737,647,524,487,405,948,734,996,386,509,
214,743,742,972,558,597,236,937,177,255,117,805,047,822,987,276,668,636,136,
210,898,259,842,581,299,826,861,891,612,519,334,104,159,162,970,339,879,888,
543,646,496,109,301,323,829,202,038,287,627,934,019,237,498,436,940,216,029,
793,541,361,715,188,463,188,892,018,964,590,366,509,316,434,426,097,030,216,
291,140,462,090,050,618,519,439,374,636,087,591,176,833,053,075,611,316,110,
759,414,317,865,435,527,289,206,027,433,650,353,446,397,688,098,453,406,602,
950,509,440,629,806,272,634,173,538,577,681,111,864,797,018,256,345,619,724,
075,107,210,601,121,298,666,113,113,067,591,377,912,316,581,842,196,153,471,
250,767,050,649,932,364,368,820,804,049,180,076,850,292,454,157,892,484,574,
944,830,107,468,214,962,201,649,961,658,946,952,639,097,536,670,177,963,614,
559,575,450,787,279,211,623,318,837,050,624,406,447,465,043,605,856,179,092,
935,435,625,004,285,277,366,781,744,147,287,591,516,770,289,368,768,419,194,
957,161,065,373,160,288,281,149,783,197,016,503,556,779,922,871,937,542,561,
231,616,588,629,969,442,236,612,535,772,479,185,351,796,130,210,519,926,707,
501,842,683,632,052,265,714,886,661,101,126,822,055,726,795,405,469,786,548,
346,762,476,317,457,406,027,556,197,337,379,379,416,379,526,861,534,146,666,
320,741,008,622,079,557,279,674,400,048,334,861,809,231,209,293,236,259,596,
936,550,894,480,060,399,277,540,718,669,332,641,676,921,974,576,928,328,963,
716,893,105,991,505,763,022,728,635,997,056,100,556,408,473,030,818,235,511,
374,360,222,097,073,673,839,669,032,132,060,886,500,429,159,974,856,818,187,
288,000,912,259,846,102,077,657,497,120,328,879,346,999,355,987,172,752,531,
183,806,271,729,467,691,973,047,709,888,627,277,207,610,890,478,563,988,299,
949,261,443,363,738,455,299,041,021,159,335,365,602,659,692,374,533,693,341,
230,766,245,964,791,982,575,440,025,810,150,984,834,714,140,449,034,772,072,
817,643,166,005,080,694,709,145,857,352,728,023,136,701,207,063,329,593,345,
410,474,474,844,620,417,668,952,714,554,706,634,847,268,331,183,532,369,802,
615,337,976,396,036,742,253,143,722,453,092,212,898,193,847,205,642,267,629,
247,399,579,402,419,148,135,304,378,517,107,144,425,960,491,934,282,067,799,
024,147,243,044,789,062,745,027,037,135,044,666,760,506,551,491,656,229,289,
650,871,297,620,040,092,113,694,537,148,670,658,630,660,721,186,702,818,132,
392,508,435,833,141,177,307,876,497,018,394,219,094,842,317,448,697,049,598,
523,754,674,655,363,248,604,905,419,334,625,140,280,104,172,024,661,008,701,
130,509,347,233,160,553,795,446,900,120,621,240,829,880,709,544,588,348,072,
946,285,234,801,609,952,455,039,168,502,077,223,313,998,449,499,252,169,000,
967,461,596,223,245,125,046,359,579,240,532,117,211,904,122,217,780,217,314,
259,081,711,903,290,672,202,436,473,058,283,112,333,872,714,426,830,543,303,
431,872,498,316,634,889,832,872,602,586,050,684,792,394,045,031,367,686,324,
686,251,420,931,114,190,207,447,872,142,564,393,729,279,343,262,058,057,389,
526,193,044,529,533,665,978,380,499,212,355,480,204,844,694,831,705,062,964,
348,161,830,182,270,993,473,229,756,045,517,196,091,336,619,649,713,918,303,
413,448,328,342,809,951,717,421,879,359,717,372,848,490,404,442,802,564,972,
150,683,912,230,577,522,369,871,805,079,202,325,338,485,468,545,440,152,272,
617,940,230,744,112,726,690,894,566,246,537,844,624,616,499,350,768,000,959,
365,275,898,512,422,785,521,059,285,970,294,469,662,257,803,725,284,408,651,
336,022,349,547,166,141,393,402,393,560,483,988,967,797,308,138,109,425,143,
460,581,582,488,720,656,610,090,569,402,066,520,162,159,363,759,149,239,669,
610,106,010,834,720,471,367,368,522,553,953,643,706,313,598,695,130,533,015,
761,429,345,359,718,725,692,262,999,660,406,725,814,740,346,608,234,403,319,
966,726,779,707,766,399,810,729,983,912,636,793,152,202,836,077,085,938,552,
794,410,165,096,982,289,550,831,516,166,251,908,491,560,532,645,947,128,995,
397,182,140,077,772,976,159,568,766,466,728,623,552,705,937,879,497,723,952,
088,560,166,465,462,048,569,161,802,164,816,305,409,241,649,555,454,004,047,
738,966,471,509,251,698,713,812,217,827,067,952,044,914,380,345,055,155,094,
344,803,913,834,704,847,674,993,995,235,712,201,252,179,198,406,612,214,564,
031,556,895,303,029,009,865,469,311,395,776,846,048,887,218,860,957,608,371,
516,003,872,782,970,145,938,005,960,061,685,415,445,728,395,041,354,977,943,
484,940,609,764,973,947,631,980,073,386,136,990,586,192,259,783,199,083,165,
041,885,829,852,085,155,925,327,741,906,216,468,738,383,767,992,829,378,128,
788,103,130,358,620,984,089,243,769,358,106,620,769,494,204,742,955,591,459,
523,668,327,794,733,037,379,286,923,194,200,505,826,897,327,580,513,633,174,
113,058,671,180,986,020,153,795,124,139,002,385,049,315,826,863,816,053,228,
032,574,321,824,903,490,261,219,399,104,367,948,350,052,831,171,249,317,402,
339,193,538,782,695,006,052,189,197,541,518,311,976,221,652,172,440,800,988,
408,581,206,313,334,499,401,146,941,896,166,453,015,403,288,176,955,878,257,
742,356,309,601,475,616,649,729,675,912,200,334,017,876,039,371,218,218,208,
257,092,102,356,034,029,104,663,204,218,616,420,908,195,180,940,548,998,205,
011,674,070,984,274,489,790,576,215,952,247,909,426,701,216,835,937,804,388,
531,108,351,639,425,716,954,786,720,998,692,697,268,475,695,466,473,178,843,
373,276,968,553,176,436,095,881,682,675,716,572,916,139,883,855,010,856,462,
772,607,648,225,077,797,449,576,279,169,714,624,451,551,048,375,861,820,857,
293,588,851,971,214,210,778,055,359,853,088,233,290,547,751,822,354,996,944,
700,002,656,296,193,849,976,090,000,671,051,469,230,508,734,961,376,318,203,
580,205,972,530,663,891,890,192,762,141,073,252,283,854,542,990,473,405,913,
781,593,161,843,067,329,147,070,893,107,111,277,119,194,846,009,213,177,917,
461,374,954,675,194,521,339,172,629,970,461,642,298,744,391,433,113,254,175,
902,015,695,372,729,537,985,749,875,150,678,978,694,258,617,810,579,927,034,
383,436,916,600,436,033,819,145,657,892,532,332,914,770,988,215,274,135,968,
297,721,445,485,804,581,587,282,274,113,680,212,691,026,401,969,732,245,125,
955,448,015,539,216,526,404,610,858,068,383,870,991,006,927,807,563,605,526,
621,272,485,577,946,079,739,866,323,744,278,572,255,317,299,592,963,424,546,
321,720,936,498,759,533,637,448,567,497,682,186,825,788,867,119,228,665,897,
359,901,799,627,676,991,792,403,513,842,931,873,713,943,888,887,365,362,515,
603,148,926,548,338,061,353,229,289,027,863,416,154,349,352,940,549,937,762,
085,814,772,323,826,836,237,378,307,678,692,899,660,048,563,221,647,272,409,
510,184,343,502,421,945,568,124,853,959,899,865,944,634,537,445,804,282,428,
463,400,846,519,226,635,012,028,108,177,794,665,902,278,649,422,794,016,224,
086,503,427,846,162,913,503,647,347,674,307,876,679,399,339,498,568,627,938,
657,621,971,543,891,594,408,938,286,729,319,018,507,079,091,323,703,876,507,
659,128,117,625,902,681,147,688,804,566,722,672,658,891,585,212,544,200,758,
205,015,512,377,640,070,414,702,009,947,082,676,750,955,764,351,906,224,434,
671,347,010,876,672,237,367,552,577,653,422,965,373,504,928,473,179,185,746,
442,465,846,613,441,332,411,018,576,054,815,533,259,130,929,262,092,860,708,
115,698,707,673,551,063,418,095,770,599,335,360,186,827,607,844,759,300,869,
850,084,169,028,977,541,860,502,030,577,846,720,139,348,280,859,266,033,865,
003,229,003,334,982,826,004,356,765,186,307,907,495,729,353,947,882,727,274,
912,801,324,423,531,287,024,987,892,444,423,227,353,097,119,680,673,317,684,
030,966,897,779,540,568,700,315,079,656,285,577,615,514,332,282,378,593,532,
137,701,193,768,754,333,492,971,160,468,768,014,492,594,473,626,359,344,625,
427,832,933,922,346,051,549,770,225,048,881,458,807,497,806,595,113,093,875,
181,779,558,243,563,798,601,177,491,653,835,758,281,616,997,523,040,408,490,
103,783,721,977,467,004,865,622,346,334,822,844,005,753,773,376,047,162,435,
070,198,105,419,575,215,996,881,862,537,723,556,244,726,870,614,156,732,912,
777,893,802,752,729,806,401,404,130,955,727,623,817,596,051,295,239,756,319,
457,151,885,757,567,143,728,111,729,833,982,453,100,794,957,770,509,534,310,
360,568,138,730,874,875,760,197,868,871,430,526,035,715,157,752,943,731,836,
011,506,126,832,629,502,847,160,474,878,640,183,512,958,385,439,854,189,830,
761,212,058,775,941,960,980,012,029,488,345,244,772,190,431,811,526,796,827,
623,735,789,706,346,978,505,915,540,486,747,581,367,902,916,243,108,180,368,
858,951,803,731,095,607,120,120,411,567,895,442,319,135,317,816,604,581,710,
087,586,185,875,844,456,511,195,489,997,746,378,791,212,021,453,515,893,120,
687,400,485,023,560,109,566,923,348,218,881,421,231,018,682,404,948,814,133,
798,281,767,590,650,339,155,083,663,129,474,442,144,450,010,226,524,379,004,
832,997,607,290,233,664,145,881,918,900,641,595,646,003,241,054,025,008,441,
739,340,808,175,974,230,341,660,406,409,769,610,480,171,610,707,825,739,843,
404,427,828,063,267,833,623,293,414,537,402,754,547,527,472,323,561,715,906,
390,868,560,295,164,787,304,022,015,005,957,567,285,949,049,577,259,266,860,
594,770,920,383,238,320,915,693,448,180,133,575,379,211,731,060,553,965,221,
074,836,538,791,490,067,998,831,545,372,920,429,488,706,827,201,693,462,352,
456,263,146,026,858,591,212,109,705,239,678,602,555,266,124,802,469,547,686,
284,839,956,693,090,141,253,819,384,684,457,400,615,307,263,477,518,273,151,
046,296,426,882,842,552,822,978,034,652,835,528,334,125,065,955,898,918,787,
712,845,127,287,533,640,722,636,159,806,718,767,379,481,276,763,561,281,555,
567,839,416,902,482,627,350,159,131,415,250,665,130,391,673,262,524,089,024,
326,929,054,263,044,544,768,596,957,612,634,081,497,673,960,400,799,544,683,
210,654,269,189,703,687,652,285,984,368,844,754,345,606,896,060,227,993,305,
293,927,655,394,868,891,117,832,669,133,059,105,571,219,351,545,058,265,714,
442,310,157,409,486,690,874,926,151,444,318,795,981,188,210,962,270,015,397,
894,844,091,904,510,661,400,589,160,069,284,092,084,445,482,297,981,480,844,
467,056,461,162,168,299,252,576,196,778,647,957,842,157,782,017,819,964,790,
332,642,038,141,571,872,379,726,836,512,496,670,726,671,796,772,715,159,511,
423,016,431,807,121,718,761,899,906,194,128,516,159,029,756,296,472,093,000,
768,285,108,407,121,696,289,322,686,494,075,327,327,969,939,739,362,058,506,
858,456,574,195,495,627,970,686,391,460,086,727,273,350,353,962,534,298,083,
732,730,075,266,424,851,728,770,757,154,246,350,239,117,116,064,037,895,561,
679,955,687,607,337,401,798,117,496,920,892,289,470,677,965,970,193,936,265,
794,041,225,775,692,397,894,501,853,207,967,228,293,386,775,432,078,561,250,
452,273,412,790,005,983,740,166,063,186,631,474,664,122,020,804,113,523,327,
893,674,710,431,629,767,240,079,244,912,651,935,283,642,107,283,216,859,621,
036,444,182,450,278,254,809,543,848,407,506,043,472,010,309,866,984,424,565,
007,207,391,148,868,994,005,099,252,574,416,190,599,533,153,389,515,351,364,
531,612,768,650,874,936,383,222,455,657,596,881,479,144,095,057,420,082,053,
906,731,009,340,262,262,248,504,562,489,556,185,894,186,780,175,872,417,470,
675,605,305,143,252,540,112,317,368,093,391,391,778,342,044,487,119,144,543,
554,571,910,642,747,259,702,805,712,165,089,747,986,441,294,545,489,494,387,
507,884,653,004,562,586,722,364,973,560,281,083,858,788,111,896,470,691,494,
829,790,323,321,617,969,961,202,229,872,290,344,467,718,104,097,389,512,843,
636,028,518,380,107,049,195,890,398,409,440,477,470,281,208,760,330,734,319,
093,244,119,865,607,100,325,930,899,227,968,955,355,176,546,534,722,114,057,
297,923,590,185,505,855,516,814,658,163,859,102,144,480,866,222,579,282,119,
576,621,613,892,815,776,283,875,750,906,639,003,619,888,495,510,020,528,795,
134,900,899,517,320,762,558,090,917,346,327,331,536,160,815,392,215,681,219,
379,704,647,657,856,017,371,303,350,731,341,380,569,062,387,503,452,169,611,
091,037,441,410,219,509,783,118,640,700,899,092,066,352,098,084,301,626,433,
676,355,061,437,191,139,125,843,243,233,107,399,693,247,659,398,908,756,933,
771,823,566,400,154,712,182,258,644,810,590,729,206,003,160,320,288,300,123,
476,600,386,738,147,261,784,478,124,013,130,381,223,860,201,911,363,082,682,
740,291,796,281,868,294,845,993,068,682,452,483,449,124,156,232,669,077,464,
343,540,844,396,060,661,592,278,540,874,542,778,164,631,368,282,577,487,803,
069,644,136,058,127,571,250,549,407,229,887,524,883,140,480,844,969,941,503,
483,709,313,385,201,327,548,804,037,879,014,406,736,457,681,307,527,227,482,
259,370,780,757,909,744,762,249,902,575,529,913,013,110,406,785,952,155,124,
423,208,615,144,680,249,657,718,561,344,463,101,580,773,814,160,064,495,213,
804,231,318,248,412,130,524,079,972,271,163,186,244,145,066,006,829,210,924,
464,458,000,628,189,379,946,436,975,098,729,632,854,395,915,133,257,250,630,
634,255,643,615,705,751,772,819,703,998,889,969,541,392,670,413,676,371,272,
187,393,042,923,722,703,961,896,263,941,720,454,463,592,519,694,286,120,977,
526,701,432,476,873,366,418,978,458,641,712,338,664,240,890,071,270,765,585,
387,104,424,156,722,639,931,211,561,912,991,738,627,652,442,613,824,023,244,
535,205,563,960,616,072,370,144,462,529,734,682,214,136,421,091,018,538,157,
317,604,725,020,597,918,173,458,962,481,289,574,151,686,384,624,116,040,273,
552,737,056,030,433,135,755,299,298,712,459,237,951,594,787,745,934,539,892,
618,316,145,294,704,358,382,715,858,743,480,594,592,002,095,664,325,945,233,
663,264,434,284,625,228,242,289,747,486,619,655,870,515,463,221,567,564,995,
678,798,520,906,938,129,404,841,211,897,670,441,301,536,147,938,656,974,562,
280,503,869,298,928,255,890,524,428,181,171,288,419,951,633,391,179,900,422,
991,131,635,417,330,399,654,335,773,715,551,833,122,398,731,479,301,782,553,
606,436,730,433,719,174,964,152,693,403,091,963,553,025,310,041,120,171,726,
635,273,348,267,300,581,929,272,179,507,191,360,918,407,378,989,455,419,955,
300,278,101,526,821,032,994,859,253,178,324,982,043,263,559,237,044,404,034,
624,172,766,014,467,076,188,809,662,954,108,576,975,200,519,414,228,274,562,
608,666,934,962,160,024,035,270,846,038,972,711,525,741,089,436,417,689,954,
129,683,203,519,344,001,991,819,112,858,136,787,210,844,094,710,924,627,495,
647,100,775,026,126,275,518,298,595,514,124,923,356,103,111,776,557,104,771,
535,091,796,805,634,395,213,521,933,352,828,061,239,878,667,865,042,869,244,
966,001,633,282,157,032,128,487,238,649,780,946,341,878,598,494,672,131,938,
093,929,733,679,625,081,084,624,115,520,507,875,044,654,781,040,234,489,226,
562,480,854,872,558,196,674,481,047,375,288,726,806,688,288,587,892,054,908,
729,455,103,417,721,841,686,218,637,098,212,496,214,107,454,694,935,859,631,
046,637,693,575,283,087,784,573,810,522,857,972,696,136,716,650,715,165,066,
704,112,772,977,198,417,213,193,237,936,829,234,134,391,105,418,536,055,400,
805,362,667,668,996,265,537,574,540,214,791,158,130,912,432,550,884,673,289,
948,806,287,090,204,598,749,731,587,197,666,483,889,521,147,875,783,917,598,
779,085,274,185,688,055,072,239,125,469,308,238,636,941,309,347,712,205,695,
013,529,384,965,832,746,148,059,028,775,511,627,630,676,889,921,651,756,805,
038,141,561,225,305,452,499,519,262,857,401,970,139,131,256,888,748,335,375,
445,691,878,044,364,504,648,681,703,434,144,862,091,917,812,678,582,275,532,
591,089,100,294,870,307,208,619,668,913,318,921,107,065,629,083,000,065,598,
719,715,776,473,455,989,292,406,938,783,970,292,941,987,352,625,206,571,519,
117,232,390,819,184,516,054,038,671,779,780,316,201,787,257,985,635,841,257,
671,562,279,519,551,853,754,165,512,917,676,245,578,961,292,798,252,967,895,
892,550,054,755,046,743,873,586,228,084,043,335,929,586,429,228,902,652,369,
630,826,815,411,369,739,500,743,258,993,160,786,529,289,674,311,521,797,857,
859,583,959,240,061,864,803,274,981,691,505,123,062,689,325,792,914,546,648,
143,551,042,172,835,377,827,550,909,797,693,085,083,187,987,323,311,061,855,
629,365,528,894,492,618,883,440,754,632,978,122,167,036,787,906,059,051,391,
178,771,205,927,675,781,268,835,420,414,833,512,650,820,773,676,959,763,847,
374,673,319,557,452,234,074,178,357,062,745,905,270,479,433,249,971,024,643,
879,151,397,121,662,846,939,617,932,985,162,344,887,850,886,244,993,284,574,
281,628,569,836,914,115,805,547,556,120,925,137,585,182,570,115,725,175,704,
910,721,291,560,270,395,493,648,267,958,064,177,390,049,802,384,681,164,988,
342,420,587,182,601,905,280,862,032,989,696,670,972,881,541,445,957,631,073,
124,699,172,565,866,341,090,105,548,989,638,932,315,073,454,120,428,424,095,
011,342,316,931,746,366,870,442,314,780,291,946,958,788,145,809,747,679,991,
251,778,123,021,607,322,482,935,356,153,603,263,493,955,960,165,903,778,921,
735,982,256,950,981,538,551,099,507,872,939,090,374,341,476,540,800,603,259,
989,127,596,277,338,669,752,750,254,649,404,729,332,867,089,962,926,044,978,
867,874,912,051,332,979,275,504,544,653,621,689,035,452,389,698,071,883,559,
413,602,221,228,989,462,525,855,578,560,705,645,833,205,481,041,727,800,931,
962,136,139,821,160,854,365,455,790,134,878,252,740,596,947,746,118,270,589,
649,505,581,340,998,194,213,280,790,400,501,355,152,647,870,722,831,678,930,
634,112,578,862,588,553,699,075,297,311,678,458,440,365,559,405,238,400,912,
776,042,760,143,823,048,686,712,112,461,705,904,139,271,993,841,437,578,921,
302,138,474,496,978,183,412,900,967,847,951,280,825,671,750,506,201,773,286,
018,665,825,538,519,514,030,477,143,152,782,232,650,937,728,155,140,297,428,
261,131,527,852,208,505,898,798,832,286,563,032,864,277,316,275,779,854,994,
102,704,411,535,545,167,526,120,768,499,820,261,732,954,552,378,028,136,372,
154,864,388,185,430,515,889,771,880,421,667,464,261,746,729,656,862,061,266,
297,189,942,946,944,272,149,538,425,508,987,168,043,585,119,844,568,435,971,
072,125,836,625,174,896,987,786,382,431,783,419,838,679,861,049,216,574,707,
186,685,010,154,769,452,254,556,487,058,578,123,808,561,977,633,333,038,716,
091,930,256,160,892,779,091,510,311,573,502,901,064,715,322,408,946,421,344,
898,690,806,997,646,423,035,466,965,001,860,901,791,938,403,182,602,849,096,
380,881,491,435,207,443,128,217,203,265,785,480,253,049,791,948,219,252,434,
115,926,558,532,198,577,907,711,780,382,483,802,141,976,390,672,284,367,805,
943,427,716,470,379,205,115,021,650,611,113,579,285,868,255,088,814,646,891,
777,517,383,937,986,783,904,300,797,253,458,136,217,700,708,843,687,956,724,
973,398,032,397,811,104,089,221,989,383,026,759,136,459,585,275,541,948,952,
018,691,234,861,157,947,556,951,402,961,319,145,795,166,662,546,418,329,908,
494,144,020,606,512,253,945,044,617,478,615,372,042,014,731,828,101,150,627,
020,825,470,419,739,002,244,390,830,074,073,165,486,741,813,205,677,012,194,
997,723,735,580,882,937,675,475,141,960,275,254,983,632,400,676,264,850,634,
945,088,653,907,164,557,836,571,887,661,623,188,856,812,158,226,571,237,655,
322,457,101,257,836,903,122,166,194,953,454,280,481,411,251,142,394,976,470,
650,440,828,887,976,384,473,975,700,691,868,126,916,935,055,019,955,045,529,
797,871,597,957,606,601,251,029,197,772,940,283,629,548,026,651,635,577,200,
851,833,486,780,678,386,313,622,367,896,964,587,154,680,860,635,635,073,420,
556,234,508,607,547,279,459,272,173,428,319,521,247,693,191,523,623,582,741,
773,915,811,857,797,560,790,138,418,801,475,938,970,191,170,282,647,203,352,
770,681,669,590,098,052,341,307,615,957,845,440,714,010,428,980,421,079,173,
240,819,028,928,005,824,136,292,036,958,246,040,439,194,521,543,229,398,867,
942,602,736,444,543,813,026,682,525,275,102,218,681,605,569,968,051,942,450,
363,696,065,626,939,416,585,740,064,776,641,732,831,889,414,719,567,371,730,
294,427,299,029,977,958,486,299,464,917,984,177,645,877,083,787,718,928,589,
399,987,411,705,331,908,723,803,560,859,506,544,602,701,041,305,791,045,049,
193,067,815,975,732,721,824,711,419,844,410,220,365,365,105,140,744,919,291,
263,734,896,011,623,137,907,967,079,872,645,246,396,993,993,125,771,564,182,
268,759,232,469,412,286,824,985,509,525,062,698,556,593,977,785,346,273,611,
578,923,613,692,253,657,756,613,081,417,503,193,529,270,731,471,029,712,914,
995,339,254,763,846,789,998,359,067,499,166,131,030,486,611,140,431,855,004,
747,686,376,030,684,929,584,259,323,506,687,712,270,934,992,897,645,445,930,
115,426,461,692,052,563,676,837,945,128,637,522,542,521,360,497,300,157,960,
717,667,052,463,870,258,273,883,753,259,760,395,950,198,228,136,436,164,718,
390,350,547,019,384,683,242,822,210,473,040,411,571,686,512,185,992,873,741,
887,585,542,308,280,428,201,428,286,669,858,360,574,633,266,653,925,134,546,
417,159,984,148,399,790,063,993,515,211,789,016,789,378,068,261,267,584,696,
846,682,244,818,446,773,672,279,570,036,360,435,188,634,108,756,793,086,076,
111,983,896,358,383,606,790,364,354,506,156,683,126,712,966,210,034,512,098,
527,350,088,236,081,496,262,880,930,764,119,316,348,504,403,863,566,110,139,
157,413,143,708,575,510,730,862,422,452,293,282,455,337,614,607,963,972,479,
963,988,381,159,926,137,269,869,229,728,332,257,878,102,935,068,080,349,295,
029,838,760,450,731,243,333,322,573,175,574,671,748,276,162,008,798,132,371,
902,232,547,982,168,981,923,753,539,798,321,730,789,841,401,020,394,722,105,
937,649,601,933,115,112,667,204,237,503,324,482,650,000,583,309,755,478,562,
343,711,664,757,219,152,356,343,468,570,560,931,420,009,594,295,076,895,448,
928,170,769,957,482,102,160,290,540,110,676,504,194,625,810,685,911,314,384,
735,655,380,765,745,694,089,922,967,761,361,776,571,172,749,794,890,643,735,
409,187,856,150,505,325,801,902,627,215,306,799,322,127,795,533,144,828,695,
605,320,673,445,566,642,392,943,330,829,049,503,952,887,497,082,607,527,268,
758,792,076,993,154,721,641,010,527,582,848,682,295,601,896,938,596,892,049,
908,645,882,371,210,638,138,321,785,583,943,670,302,964,253,305,894,710,266,
489,679,536,907,624,035,321,499,505,194,826,969,531,687,449,579,468,859,798,
040,644,054,054,576,466,753,883,638,956,796,867,356,954,140,532,132,999,396,
423,901,441,228,461,970,846,161,912,232,092,422,970,715,352,530,413,025,962,
476,673,499,883,157,130,584,650,065,880,234,401,864,579,364,078,110,522,094,
579,386,432,408,450,435,032,325,122,623,003,917,569,911,091,623,286,762,370,
102,998,981,405,931,551,309,844,208,333,570,814,914,632,063,551,397,801,835,
940,825,816,173,072,938,112,325,282,463,789,232,515,770,801,411,382,488,611,
624,202,353,324,621,629,311,659,157,137,592,727,771,638,503,601,752,459,150,
106,979,108,994,817,043,210,520,533,796,963,689,788,242,304,624,477,868,534,
657,091,627,266,271,923,237,164,995,438,797,819,496,727,809,224,715,844,936,
764,030,726,189,029,817,340,728,325,079,428,399,979,184,689,991,927,156,255,
061,576,241,661,291,410,549,096,367,987,887,866,123,483,080,322,946,503,033,
188,704,277,222,718,208,394,757,580,941,762,860,982,376,828,698,388,021,433,
377,715,719,549,890,961,788,803,901,264,304,545,887,951,740,462,348,810,453,
376,021,026,986,422,548,103,906,643,719,436,597,982,088,512,894,034,906,227,
036,964,561,536,243,973,429,439,513,767,708,212,202,297,279,464,528,840,196,
603,325,459,291,518,699,020,060,688,813,369,412,262,321,725,668,556,148,066,
306,634,114,489,211,027,476,922,058,120,158,556,743,131,884,210,687,132,701,
559,999,546,366,176,476,606,919,925,132,115,864,296,073,691,858,344,818,266,
036,662,754,986,784,732,635,502,138,466,924,374,251,776,747,986,567,062,291,
205,568,488,319,443,458,538,987,679,308,641,891,874,808,042,468,557,883,233,
748,878,924,025,800,765,435,634,218,454,093,524,111,195,958,503,224,504,348,
136,697,403,806,753,159,169,993,429,018,444,290,779,404,430,257,048,766,431,
964,862,351,176,709,719,820,242,249,882,968,556,696,434,822,014,516,553,152,
776,119,290,528,827,567,446,919,365,949,591,821,414,396,038,165,994,775,574,
696,650,828,297,329,158,598,510,523,676,881,215,699,350,856,318,681,516,857,
350,790,324,318,609,003,778,393,239,302,836,261,465,942,295,639,484,749,503,
802,136,403,053,993,179,016,155,260,718,238,938,190,230,457,844,617,923,174,
494,132,221,787,390,764,566,134,042,079,161,417,596,785,638,691,911,029,370,
763,739,886,404,353,755,877,051,392,830,576,061,654,315,657,562,039,589,891,
110,921,652,976,044,239,845,459,640,919,569,751,428,579,587,898,718,458,670,
379,710,110,687,200,967,470,140,764,085,239,853,803,348,684,127,331,616,189,
796,032,681,251,119,167,142,497,545,128,724,429,484,915,689,027,794,813,830,
954,434,849,662,610,379,092,838,635,105,651,205,692,467,370,466,531,381,009,
215,177,195,744,838,543,167,670,094,888,785,479,983,290,495,165,313,426,049,
652,570,753,969,219,672,962,341,734,008,291,278,253,030,231,248,310,237,225,
912,022,454,280,999,268,006,873,439,858,427,357,066,559,031,645,871,051,385,
559,146,026,785,269,163,496,562,739,109,278,015,237,894,439,805,121,560,953,
068,434,892,663,322,951,811,056,867,466,481,620,308,904,103,269,351,863,362,
502,848,804,624,919,562,194,973,482,626,672,733,096,370,824,857,562,113,497,
300,706,300,035,258,024,263,624,975,660,108,471,582,779,452,855,633,731,854,
898,753,480,440,568,982,237,691,850,205,930,594,508,891,623,561,124,702,992,
704,506,757,019,059,331,762,325,144,469,864,606,634,427,092,024,971,489,963,
638,446,651,036,839,543,361,129,595,417,149,091,324,948,051,838,657,873,728,
291,128,215,876,773,507,101,951,697,846,891,476,916,140,277,911,433,541,803,
773,219,137,006,743,267,529,637,273,717,094,943,457,624,721,823,450,022,550,
357,393,359,133,690,238,736,159,536,972,656,578,332,366,270,898,569,907,917,
553,193,899,449,212,630,916,119,843,571,191,251,650,574,978,828,496,318,427,
283,555,878,042,246,410,436,441,977,776,567,640,503,006,538,318,497,709,895,
213,529,331,011,745,355,284,786,604,152,326,392,011,478,476,914,803,528,365,
018,471,541,254,844,185,934,484,501,172,060,408,032,193,590,068,656,932,625,
060,455,664,393,862,624,600,319,699,283,322,896,625,162,959,761,392,953,174,
641,162,003,601,945,949,345,348,988,318,630,339,093,272,266,758,861,024,372,
970,404,663,569,860,797,972,353,522,731,440,088,219,293,540,220,076,344,342,
897,291,183,262,948,095,514,267,836,018,061,872,559,660,525,743,711,520,793,
521,906,170,419,140,990,753,846,066,938,130,602,494,170,307,683,710,601,602,
084,836,605,614,417,854,672,722,552,095,684,999,977,393,302,351,240,383,679,
296,447,254,637,539,676,584,530,563,091,899,092,443,349,363,242,986,813,767,
447,900,578,299,405,713,210,911,129,300,891,517,722,296,825,666,043,764,010,
542,000,936,421,367,027,316,688,347,377,909,638,912,705,192,800,698,025,970,
846,866,350,554,044,755,386,401,674,847,625,576,417,664,090,606,775,425,362,
286,374,633,435,236,530,992,827,421,919,434,284,867,823,283,859,990,967,011,
147,478,942,590,880,920,227,110,824,456,978,621,016,455,102,636,807,553,923,
911,886,294,108,075,206,781,064,669,263,196,257,397,837,193,640,726,208,298,
442,669,066,461,854,459,969,591,507,136,056,589,105,191,623,778,937,240,709,
644,405,283,089,948,134,553,168,183,289,314,192,848,213,067,769,603,122,959,
511,312,191,254,636,501,227,234,516,655,620,276,814,705,420,666,622,438,714,
704,302,183,984,830,676,760,403,350,420,343,001,732,621,934,172,533,915,795,
212,000,022,124,868,321,992,002,454,084,772,480,922,309,770,670,335,126,063,
306,618,190,189,057,059,151,894,223,993,565,447,510,808,520,353,954,728,826,
825,705,540,750,272,798,465,760,402,244,465,429,188,485,007,839,615,950,417,
473,847,697,175,909,949,699,644,337,320,417,172,749,037,382,720,848,932,042,
406,654,140,486,778,543,028,513,890,301,374,434,134,906,809,953,777,419,541,
915,551,514,732,626,398,136,727,226,281,662,349,143,879,448,292,996,247,474,
356,248,241,519,202,023,365,604,674,458,855,685,637,999,417,535,104,340,753,
284,098,825,889,180,510,498,020,740,606,549,631,236,738,559,583,964,325,330,
665,341,798,397,229,092,223,357,694,406,250,895,244,171,665,203,257,813,954,
545,435,255,958,130,250,338,526,104,470,283,251,051,345,387,416,450,024,254,
148,586,910,695,134,711,657,591,722,706,509,388,388,189,182,872,574,609,890,
395,608,241,633,075,055,685,831,753,296,104,813,147,967,154,746,477,123,214,
873,003,194,954,448,144,582,999,527,189,781,822,497,153,670,089,901,434,380,
725,604,423,784,070,207,338,047,365,210,187,307,527,449,434,308,105,086,154,
899,596,872,405,498,945,768,406,713,682,813,637,420,782,639,837,641,261,457,
442,138,635,693,100,461,734,629,249,815,059,816,985,209,785,388,370,456,796,
220,155,435,310,069,035,010,936,239,742,357,629,944,052,531,746,861,739,532,
423,219,021,648,219,342,422,009,329,161,548,111,017,640,786,283,142,233,684,
692,557,989,815,662,355,984,471,773,971,279,107,498,233,483,485,982,734,091,
526,483,630,094,642,661,392,378,074,268,815,687,175,690,344,154,929,238,422,
493,386,616,807,099,196,689,311,496,906,586,159,085,985,367,307,622,301,961,
991,177,847,508,130,072,556,526,702,519,933,135,816,845,949,720,827,774,547,
999,553,688,449,562,735,209,892,659,570,574,358,064,172,172,866,950,722,866,
607,643,043,360,352,267,389,767,404,653,908,797,117,094,414,612,562,798,592,
448,415,812,480,104,881,963,944,042,975,143,276,764,078,225,662,970,823,030,
751,369,657,373,244,530,599,208,139,132,996,035,803,746,516,186,579,104,354,
724,253,625,716,220,631,407,203,088,329,474,264,866,683,152,436,929,952,203,
528,013,427,311,071,728,779,103,305,545,177,056,624,103,141,220,502,329,297,
911,957,681,670,584,495,411,166,292,753,585,662,139,980,215,914,694,053,906,
690,067,669,875,896,254,591,798,602,457,880,707,386,930,464,728,188,439,802,
933,187,449,630,770,890,536,240,021,966,975,568,032,264,143,422,924,948,325,
716,571,539,559,022,010,818,109,736,645,551,988,263,634,935,366,805,137,052,
091,352,886,303,912,178,283,204,083,987,716,667,212,382,422,109,847,774,460,
415,541,099,529,920,090,858,739,301,393,130,958,504,105,879,564,519,037,748,
684,118,234,831,614,832,857,805,617,459,197,596,862,837,307,019,636,880,669,
485,040,552,611,728,335,329,006,711,119,795,079,324,431,696,161,560,794,907,
159,689,198,107,422,081,285,226,465,913,176,829,505,241,307,150,338,036,601,
461,897,008,635,920,199,344,697,394,049,770,054,191,353,315,175,796,784,271,
423,616,854,966,391,121,227,526,310,791,094,496,225,758,564,015,226,882,597,
809,835,923,000,659,103,795,580,132,007,776,355,031,965,438,480,558,020,817,
055,623,708,616,750,627,333,069,723,090,542,531,499,122,048,354,108,920,041,
069,906,987,031,644,341,876,220,809,924,420,420,935,581,150,857,976,345,248,
937,682,693,069,220,978,965,819,986,295,705,181,766,625,696,338,509,230,091,
236,444,594,080,872,501,348,992,082,587,144,966,917,535,084,974,738,799,149,
856,897,605,619,814,879,043,360,645,008,836,548,741,578,991,824,063,171,270,
510,540,801,476,022,703,220,539,537,591,625,526,579,984,240,260,841,397,987,
367,524,322,570,237,036,436,250,901,003,994,059,061,073,545,759,775,448,285,
797,333,918,883,046,148,812,939,865,090,622,870,292,790,068,272,172,485,590,
443,866,371,066,414,370,131,452,068,160,021,434,728,092,559,921,022,800,362,
397,123,086,905,451,608,365,251,854,863,248,310,557,010,060,271,769,855,012,
862,917,006,065,930,343,775,300,120,979,953,119,472,848,132,858,258,513,853,
984,230,326,482,659,722,039,439,300,845,494,814,870,596,886,537,414,813,640,
932,668,783,704,484,706,718,037,249,809,908,304,622,890,401,402,211,129,794,
218,444,873,319,534,833,523,457,539,406,031,414,021,216,452,209,574,010,813,
355,208,981,814,272,178,050,012,344,626,013,536,139,466,293,013,177,682,486,
378,426,647,339,834,819,285,189,607,281,137,911,770,691,425,126,748,616,324,
890,501,553,165,333,427,876,624,042,715,463,867,134,294,292,104,259,707,757,
808,822,903,163,975,098,909,964,333,419,352,108,505,817,555,742,042,573,315,
938,514,943,057,286,135,629,834,938,375,726,956,421,586,843,194,849,008,236,
038,465,927,717,428,390,094,202,994,558,076,594,322,148,499,817,566,279,554,
561,981,374,412,079,685,007,666,448,368,540,826,754,422,682,102,094,520,231,
007,424,797,674,371,977,567,224,081,594,740,911,009,231,045,826,471,421,397,
052,097,742,692,970,917,633,757,981,040,138,139,998,005,567,724,141,518,648,
437,285,071,504,278,482,602,038,584,279,465,190,258,341,212,745,183,773,129,
297,295,887,914,741,322,359,600,963,136,638,628,850,114,438,997,189,361,026,
358,573,451,608,984,299,320,830,189,647,375,340,691,315,235,417,878,977,868,
704,760,966,246,980,231,648,292,506,724,213,513,846,610,383,856,209,278,822,
941,882,142,481,044,116,847,527,409,533,232,358,187,843,522,671,652,117,677,
867,231,971,295,541,233,738,443,341,697,886,104,312,401,954,053,528,662,169,
239,178,727,549,842,865,878,584,337,101,455,303,791,300,694,844,394,748,739,
392,291,903,068,947,204,901,849,390,819,513,069,376,558,680,206,405,582,756,
778,629,138,683,494,746,304,631,393,284,125,023,342,403,685,559,149,400,248,
619,103,178,714,357,507,853,777,994,905,800,493,402,363,978,578,306,743,714,
653,453,330,464,169,542,181,143,458,872,912,306,351,987,874,601,828,523,732,
414,357,061,109,337,832,169,421,812,997,735,938,132,683,375,146,186,429,743,
619,490,302,523,039,874,021,308,672,355,728,547,358,876,915,981,668,603,808,
702,634,126,329,411,322,795,585,253,091,019,505,370,122,515,242,727,565,834,
571,879,663,797,560,318,206,891,638,201,021,214,648,706,886,640,674,226,742,
281,367,417,261,817,813,873,673,343,448,279,074,002,181,633,222,402,305,295,
057,349,903,490,791,315,947,639,969,598,733,777,036,035,150,235,270,584,038,
041,624,940,246,824,357,576,929,062,618,052,540,716,252,565,886,447,429,620,
098,554,109,214,252,199,513,748,857,003,851,473,764,697,272,922,925,176,139,
273,909,326,634,036,436,096,777,248,151,935,472,054,311,011,762,709,597,093,
348,770,689,156,210,762,802,315,665,455,287,415,476,976,531,481,884,120,973,
922,491,120,644,866,541,897,672,309,921,765,422,045,924,343,933,719,610,203,
737,266,101,598,190,105,581,119,574,811,767,353,309,746,969,173,150,773,048,
682,168,304,343,338,853,350,636,449,273,282,183,487,393,370,710,944,207,786,
167,999,775,046,427,106,816,873,556,941,358,939,198,018,662,288,899,586,509,
594,149,319,913,915,491,279,817,621,091,520,750,353,656,601,988,834,121,550,
159,051,554,075,606,424,957,567,632,340,752,393,366,189,790,386,842,446,062,
775,311,485,960,804,659,958,843,958,193,974,950,146,871,254,521,953,266,770,
349,393,459,458,778,005,289,815,146,648,143,658,434,833,205,096,133,407,539,
629,196,551,876,580,247,564,904,070,529,784,207,502,827,631,299,554,375,008,
061,651,702,351,888,457,291,949,542,478,278,069,692,071,704,608,282,604,144,
029,600,489,514,266,571,161,037,437,309,087,659,126,386,284,688,345,101,906,
156,176,428,898,561,618,889,645,294,442,475,100,370,766,916,080,638,469,983,
641,967,383,031,445,317,762,595,212,719,019,946,277,376,091,655,846,628,149,
909,179,608,818,158,504,719,207,963,626,539,623,201,829,738,490,962,312,513,
239,734,070,756,826,622,358,178,447,882,721,530,853,067,922,600,351,745,044,
080,321,495,313,744,489,086,952,069,794,451,196,256,303,898,465,735,790,431,
004,698,349,497,060,351,988,110,627,884,828,182,400,670,379,332,221,377,318,
885,123,040,505,124,097,110,747,446,259,481,446,839,531,301,124,195,677,387,
359,688,480,356,869,359,169,643,406,936,728,110,566,633,504,535,791,533,287,
329,668,866,003,686,112,962,453,780,625,128,161,576,043,399,071,670,345,574,
691,716,842,432,892,710,740,039,604,380,847,551,690,583,096,882,457,524,997,
084,114,154,974,959,755,527,942,245,646,653,813,546,369,479,396,664,496,756,
250,417,162,307,927,254,804,722,287,920,704,085,100,280,799,480,904,594,546,
930,881,384,487,382,075,644,993,852,158,431,166,757,848,531,429,430,864,841,
913,920,359,732,962,955,854,249,279,832,437,246,223,124,114,587,693,673,629,
223,654,709,711,574,990,768,647,304,482,615,797,294,441,063,870,877,388,753,
789,014,349,933,796,312,547,643,343,423,110,433,010,235,131,387,154,661,195,
940,957,355,918,314,084,670,248,717,919,897,755,471,829,664,618,173,418,592,
265,586,197,436,848,722,582,472,838,366,816,195,752,534,419,399,960,705,933,
207,389,971,033,553,462,695,741,370,896,490,712,934,671,613,213,634,389,736,
895,591,900,714,685,190,964,869,237,046,117,810,304,365,245,013,144,394,820,
146,212,102,341,337,576,302,095,809,566,857,537,902,716,606,304,738,204,256,
549,393,967,524,943,696,817,030,692,313,926,701,671,429,585,949,661,798,659,
144,429,367,235,924,601,990,769,967,557,941,840,426,626,789,830,394,636,615,
789,624,381,025,491,790,773,338,694,527,329,909,761,113,068,133,610,604,492,
997,418,139,544,712,981,418,918,118,439,730,158,736,111,869,628,467,260,737,
826,587,109,764,276,609,177,166,344,079,265,946,397,993,693,043,665,093,538,
547,273,496,350,514,282,746,375,540,191,129,616,422,932,537,488,515,550,712,
247,218,368,242,821,634,082,781,809,100,909,999,476,090,002,457,706,975,356,
216,622,851,124,882,073,888,928,254,011,459,805,638,172,769,832,310,237,690,
615,063,037,851,941,830,156,136,490,798,791,644,360,528,466,953,605,817,781,
258,011,394,180,078,281,730,710,501,054,770,058,916,107,889,915,984,608,565,
887,946,605,933,253,538,820,115,164,339,527,375,256,587,010,592,098,515,491,
794,397,268,441,623,214,471,182,237,975,684,686,804,024,270,589,288,630,599,
650,183,094,587,141,865,184,992,505,773,780,136,411,240,247,026,011,572,061,
825,680,861,210,261,933,975,224,819,244,434,913,447,343,150,551,290,770,263,
820,409,022,349,638,593,926,592,004,426,450,755,938,222,202,057,259,846,282,
799,741,034,717,603,862,537,801,541,890,425,044,315,044,328,857,811,979,295,
521,975,971,986,144,522,677,718,977,358,570,147,455,609,897,836,493,029,751,
321,819,810,757,196,248,510,848,962,111,232,929,193,920,870,832,050,176,113,
696,711,296,755,447,932,073,064,130,918,977,339,273,164,266,997,899,080,370,
515,613,980,010,062,007,751,279,780,377,824,394,279,646,076,957,030,997,032,
659,820,610,450,906,884,808,654,037,159,604,867,776,102,442,037,999,058,107,
503,816,702,680,994,620,525,243,380,902,293,157,392,446,107,962,659,594,451,
858,254,471,574,517,116,277,839,548,131,772,148,935,955,226,910,000,797,630,
091,761,073,443,208,754,966,349,340,736,224,485,034,004,313,707,900,293,552,
196,256,796,974,887,906,234,813,357,113,205,882,626,653,785,268,799,159,802,
611,547,008,209,858,902,091,926,376,194,587,528,220,868,374,724,952,357,905,
820,297,852,440,677,007,417,882,781,474,121,798,169,008,067,276,554,102,855,
626,944,329,221,132,764,129,420,277,438,935,975,517,302,348,843,528,256,661,
703,197,163,835,535,530,102,136,432,830,161,959,290,601,393,291,555,084,366,
701,974,377,680,924,183,206,183,566,229,043,542,498,182,962,393,437,204,766,
154,633,173,958,019,084,195,556,814,721,092,972,746,730,291,137,685,788,224,
739,137,931,756,848,557,910,192,912,570,657,389,811,833,562,912,645,937,155,
067,207,483,508,473,841,037,632,678,892,889,562,673,641,654,777,877,595,494,
556,061,524,021,531,530,993,197,003,925,608,290,772,994,118,543,542,470,258,
037,878,205,374,355,629,594,204,637,966,194,466,231,533,573,482,775,721,475,
346,652,729,548,603,742,413,497,953,096,524,740,098,047,569,512,150,530,165,
665,083,384,340,523,186,159,988,382,033,153,766,572,489,976,556,029,508,265,
755,914,854,942,433,699,679,379,119,839,271,505,688,252,076,146,180,705,825,
728,103,268,228,573,986,504,028,992,412,892,985,150,419,584,024,608,942,320,
587,079,279,947,818,367,372,780,768,351,450,301,762,152,709,604,722,428,829,
242,631,372,236,261,694,763,284,242,765,219,380,041,089,329,084,375,120,654,
942,345,032,757,046,303,641,157,956,868,138,750,735,747,107,623,779,201,048,
029,200,645,031,235,950,572,100,033,916,654,876,736,413,272,689,083,058,069,
687,705,100,091,982,107,946,960,777,515,322,911,235,783,767,428,577,167,073,
500,573,439,038,074,642,410,615,894,115,188,115,665,684,172,042,517,481,291,
250,475,603,717,921,386,135,630,781,630,098,628,129,941,993,280,250,852,830,
508,517,254,347,483,947,839,796,556,482,134,842,371,739,615,070,213,049,931,
804,988,691,315,038,263,834,711,036,679,427,685,826,494,703,125,733,553,797,
922,011,588,666,176,005,367,828,108,504,429,166,167,054,470,118,693,133,329,
934,187,124,699,852,591,318,305,657,770,828,505,063,005,890,698,634,107,154,
630,989,311,564,940,762,534,028,018,015,012,084,088,002,461,057,137,327,703,
891,917,099,607,619,566,129,075,777,510,914,051,778,164,512,718,522,848,686,
612,766,506,904,634,351,805,785,458,317,507,066,517,844,575,160,042,777,036,
508,930,268,972,679,503,007,240,780,837,928,689,057,193,468,014,565,502,213,
417,597,441,403,684,752,380,838,233,592,864,541,045,592,111,291,862,459,105,
096,770,423,558,199,052,975,064,555,010,304,155,571,769,885,587,126,665,643,
433,310,202,498,369,702,119,776,317,728,046,006,845,999,878,937,267,080,544,
212,990,159,629,809,353,963,441,023,659,811,507,586,293,595,362,119,030,695,
872,193,938,030,272,703,229,704,437,854,585,659,272,963,645,334,944,550,324,
466,184,865,390,732,966,144,776,232,149,848,845,159,825,145,533,762,577,431,
928,142,143,863,719,636,231,385,328,036,396,681,258,269,956,735,239,791,321,
034,583,931,814,787,486,064,589,321,552,333,983,874,601,315,664,600,850,976,
409,744,780,487,372,273,905,146,008,828,915,115,703,198,253,660,025,607,668,
761,595,820,322,099,419,387,130,397,934,386,118,761,377,413,259,380,925,204,
725,697,652,126,690,029,898,819,386,135,352,677,760,924,384,724,183,449,238,
814,010,401,838,938,857,706,242,229,016,621,757,531,198,238,889,751,360,687,
407,832,235,862,038,404,373,956,198,569,447,709,020,116,865,980,064,074,122,
922,040,399,357,632,701,903,231,902,093,424,483,679,345,103,880,267,705,513,
874,457,444,114,598,760,574,933,734,671,501,897,808,172,264,785,015,032,570,
309,787,853,837,426,268,396,570,658,170,079,101,212,173,631,006,869,896,676,
330,115,205,512,325,315,183,238,099,382,590,245,273,937,969,604,335,707,781,
453,061,160,690,939,950,138,789,027,133,265,059,186,659,433,557,723,591,939,
990,737,971,211,704,746,451,614,108,497,764,807,035,769,697,200,980,445,892,
707,219,570,400,754,375,338,096,283,561,515,976,274,170,564,575,818,303,582,
339,212,707,835,082,486,656,568,570,470,461,099,331,790,681,108,140,598,209,
557,699,342,238,241,284,745,097,178,915,841,545,773,286,904,475,545,690,854,
300,205,815,514,346,698,634,889,481,341,861,803,107,523,405,398,717,467,542,
882,311,293,026,103,480,760,665,688,172,079,994,552,116,786,388,266,813,646,
033,282,853,234,880,658,276,426,012,883,579,079,879,157,735,440,381,232,565,
826,533,156,632,013,023,159,563,754,840,854,020,128,058,942,058,994,720,105,
361,521,764,401,715,194,841,625,236,276,702,838,167,772,303,288,127,033,494,
801,176,014,856,598,162,167,427,985,338,347,217,379,679,924,215,122,212,741,
459,357,897,298,695,705,772,978,797,507,985,536,013,509,409,129,946,965,108,
815,451,169,798,366,520,229,203,022,912,739,715,334,028,751,339,722,502,487,
882,345,218,344,505,370,459,097,947,368,293,210,083,307,569,121,453,669,885,
009,051,291,105,343,618,878,533,847,342,499,292,032,010,949,279,360,040,637,
530,941,509,803,254,943,528,091,819,630,190,801,573,506,906,549,839,437,209,
629,830,049,241,951,495,705,505,073,936,472,523,571,320,039,181,057,140,883,
101,644,350,764,002,023,902,406,821,035,543,680,518,109,733,981,632,997,659,
776,911,732,149,271,584,913,655,064,804,034,428,229,739,875,824,167,370,951,
885,687,585,866,974,512,532,294,108,685,551,365,083,405,028,977,471,972,760,
565,638,022,162,452,774,457,673,203,209,310,188,172,115,038,709,731,561,268,
909,676,195,609,535,938,991,537,175,610,868,938,957,373,558,575,943,860,271,
415,943,712,179,616,037,724,021,389,875,103,280,589,176,541,014,374,794,111,
633,473,997,951,448,786,663,906,473,912,560,047,450,124,616,919,995,063,419,
556,132,535,219,816,201,273,963,966,684,838,715,127,313,914,274,586,488,849,
684,352,688,290,001,989,637,904,846,001,558,349,288,645,124,074,441,430,972,
452,800,521,291,469,403,440,782,529,766,311,392,813,266,288,507,143,891,520,
359,597,033,044,224,274,283,364,848,511,828,443,203,961,666,713,144,784,194,
070,241,421,463,462,333,584,676,396,603,416,187,560,887,117,326,774,924,260,
041,331,491,682,616,765,080,910,429,331,800,943,174,133,214,491,748,492,861,
947,974,788,973,952,669,473,954,371,232,691,281,395,185,263,225,756,649,882,
747,448,211,916,863,396,474,602,263,231,830,167,461,154,628,260,051,002,733,
126,572,059,793,587,853,896,713,310,269,544,280,079,925,071,544,005,582,460,
049,419,781,458,988,179,629,076,788,961,831,414,585,572,524,363,948,172,613,
320,714,594,966,742,442,505,746,118,344,328,608,605,036,925,134,560,989,289,
557,378,362,532,901,123,851,469,995,719,368,227,672,112,264,762,479,189,669,
812,593,698,760,629,755,657,096,819,969,410,649,762,854,770,412,228,754,717,
719,826,104,917,229,268,122,658,016,850,417,365,253,194,193,771,747,601,412,
741,763,374,513,555,220,449,890,261,729,957,326,546,918,129,843,374,062,231,
363,714,450,027,134,530,717,342,254,127,160,506,848,341,413,520,406,511,879,
350,930,402,935,949,724,028,911,404,695,239,851,480,210,329,435,097,549,050,
598,973,034,771,046,298,278,199,452,198,105,927,465,486,086,960,355,292,595,
381,305,567,908,564,938,108,740,067,408,898,770,041,740,065,870,331,152,998,
041,361,897,143,746,159,375,325,254,935,869,477,936,257,774,181,060,507,873,
510,990,071,817,588,371,817,981,833,740,768,459,683,962,867,303,847,649,604,
710,457,529,497,975,502,689,151,706,727,225,961,852,109,137,312,909,655,678,
464,497,314,388,309,519,879,604,413,920,288,387,618,366,091,788,259,067,508,
363,244,535,391,692,736,739,746,879,825,760,569,423,912,316,765,611,334,990,
807,826,709,836,291,774,845,677,787,733,565,709,379,816,574,296,659,384,108,
920,304,270,103,729,299,790,132,313,876,937,189,387,755,644,984,924,935,020,
469,405,062,895,331,350,512,486,798,774,178,682,963,356,637,110,089,306,170,
108,249,916,880,469,775,659,093,723,073,242,043,898,069,467,597,988,823,723,
769,801,458,132,026,533,317,636,254,324,664,576,667,386,313,112,135,338,640,
082,455,152,193,680,855,057,133,074,516,163,028,427,535,150,362,697,871,816,
416,069,377,056,898,867,097,552,963,919,001,351,663,680,086,986,831,745,231,
614,041,004,559,717,767,238,609,577,691,584,915,202,096,874,024,806,353,279,
606,001,616,027,102,307,677,790,473,688,444,451,427,255,388,893,286,136,563,
955,349,790,772,191,143,032,617,029,047,358,272,784,135,492,707,937,031,429,
758,592,219,851,077,018,530,340,706,468,254,304,214,849,294,511,515,012,472,
193,516,297,380,382,834,661,489,774,395,871,791,971,270,926,462,334,724,632,
023,583,091,995,500,903,754,625,357,877,973,672,183,543,553,046,086,952,343,
220,405,315,788,549,193,810,610,690,816,103,356,953,346,258,931,497,422,764,
334,040,413,454,685,412,301,940,992,714,824,367,326,790,058,440,763,248,829,
401,021,304,824,685,467,276,389,209,331,033,312,236,190,581,760,115,320,437,
780,815,186,969,900,856,870,555,170,279,832,434,377,362,624,501,282,568,738,
491,279,146,205,284,901,460,413,384,259,115,335,010,979,311,923,455,689,671,
010,475,573,662,100,333,988,895,316,149,301,441,032,151,805,965,228,877,125,
814,398,723,500,249,728,949,907,678,170,549,154,740,048,840,373,912,025,468,
045,262,333,816,833,680,281,712,955,174,173,340,057,308,272,001,564,933,709,
803,022,237,214,795,269,595,845,529,659,205,422,696,144,034,390,573,016,729,
275,184,969,208,023,530,073,500,546,140,798,738,750,422,145,116,984,749,556,
869,684,685,694,465,567,644,206,149,567,121,834,038,635,403,062,938,904,392,
017,039,472,413,515,459,526,710,919,823,682,050,640,344,332,411,822,897,669,
690,187,309,033,940,378,716,457,083,456,130,934,215,427,561,593,662,456,184,
184,725,363,589,778,398,309,404,971,087,978,444,725,500,011,270,206,123,220,
617,437,566,838,417,673,472,419,948,944,719,683,240,539,172,620,910,909,285,
226,266,889,099,447,492,536,893,082,088,883,376,112,410,023,760,123,327,630,
914,674,278,304,099,703,056,937,648,583,243,394,321,124,236,071,939,396,618,
047,970,933,721,977,608,660,166,996,914,863,726,457,608,079,079,797,409,942,
034,878,941,766,836,561,929,568,921,218,069,676,821,260,190,824,645,320,897,
743,513,951,623,313,920,726,403,726,809,654,880,330,813,817,872,658,819,982,
118,079,947,117,363,486,144,070,886,602,462,409,601,962,843,980,066,634,755,
484,540,110,124,487,907,783,454,303,546,216,385,763,767,964,180,880,656,728,
962,406,638,429,495,301,542,357,226,575,472,472,501,514,119,103,175,896,628,
852,523,318,649,879,074,311,233,774,911,526,775,656,236,105,008,352,579,547,
948,298,333,041,903,881,817,161,055,017,697,621,116,891,321,513,359,768,661,
146,610,300,219,133,354,860,306,953,191,676,302,430,407,142,192,356,616,472,
355,130,664,873,575,292,239,084,109,765,038,437,210,220,516,715,140,535,823,
455,913,107,480,016,425,328,778,265,389,894,934,305,362,320,918,766,887,105,
080,763,919,113,811,152,303,410,319,459,250,028,908,907,289,978,364,202,280,
320,752,446,564,894,694,769,147,646,156,129,819,474,018,189,489,740,446,885,
650,722,885,704,764,785,569,511,919,510,123,345,686,112,455,687,175,379,259,
298,132,474,058,064,149,696,431,269,430,460,745,936,334,130,532,989,986,193,
350,316,710,085,270,754,589,300,718,763,719,958,504,364,393,387,799,522,812,
243,192,577,384,609,531,435,084,055,896,517,814,465,685,770,985,387,023,925,
371,169,711,029,820,337,203,557,313,656,115,958,529,621,633,929,933,035,618,
727,102,927,767,101,581,980,848,137,738,539,937,167,317,597,203,508,434,558,
229,219,324,253,943,835,290,305,643,062,433,812,893,893,365,995,310,149,632,
358,303,420,657,910,697,588,036,155,230,718,134,136,474,576,043,761,064,494,
104,244,170,248,614,300,830,774,284,484,326,276,160,591,601,715,938,447,050,
530,678,365,229,434,252,375,216,981,036,403,986,543,583,966,155,089,761,391,
515,702,465,833,473,063,138,848,081,160,395,660,155,478,349,168,150,419,800,
538,162,407,627,198,554,619,248,400,316,938,214,994,129,482,115,034,988,616,
121,696,349,894,418,532,829,856,126,092,729,121,642,062,164,973,825,258,675,
939,345,264,285,822,319,776,824,953,058,208,745,213,619,734,480,681,564,349,
749,170,943,491,702,624,702,297,347,820,816,720,758,430,856,193,315,609,989,
362,410,475,806,514,153,837,224,081,919,942,847,652,762,175,442,136,099,867,
674,008,835,249,469,275,020,287,442,868,931,353,300,097,094,768,786,244,160,
892,593,711,063,048,502,743,272,748,897,428,938,779,615,052,839,830,102,828,
573,261,478,565,534,325,573,160,896,501,614,569,691,606,377,032,985,818,105,
201,121,764,488,721,200,543,095,283,245,607,914,147,661,919,462,149,561,985,
794,922,360,112,377,439,384,347,437,123,151,503,354,551,240,835,191,748,841,
787,669,202,680,667,079,049,137,043,712,308,614,583,317,415,044,182,484,814,
974,293,568,887,001,213,252,894,098,054,893,982,566,387,029,670,148,118,127,
793,371,389,773,397,838,259,228,467,990,070,029,630,029,988,730,429,225,545,
239,019,144,635,054,730,949,678,060,344,551,336,177,761,077,692,476,821,309,
929,704,865,562,600,885,064,847,277,632,299,548,973,177,351,434,573,369,935,
025,854,026,349,714,432,635,416,187,991,777,179,669,830,198,637,358,993,927,
795,282,367,228,919,767,930,339,831,632,989,081,459,903,970,003,555,199,273,
862,224,289,141,902,125,673,686,212,311,428,153,256,493,086,884,316,329,415,
252,357,366,140,612,680,570,881,994,559,653,296,107,711,334,728,362,786,877,
285,687,998,242,082,062,508,431,492,279,354,035,656,357,024,700,523,353,767,
445,925,154,452,642,289,810,390,674,157,367,643,592,731,778,635,883,924,081,
714,783,807,156,107,767,990,685,976,692,774,522,644,941,386,455,373,120,122,
431,096,220,461,200,506,902,970,791,980,668,103,658,704,702,280,679,661,622,
492,119,903,444,847,055,462,898,844,062,678,499,850,018,651,659,353,251,509,
546,868,142,869,791,776,895,188,434,376,704,653,824,254,052,927,251,085,294,
981,804,396,803,397,276,194,178,708,052,698,793,584,610,376,774,986,566,260,
369,091,633,781,970,396,518,613,878,510,802,325,166,808,619,087,716,349,991,
487,356,986,717,721,777,838,244,840,454,456,321,246,696,631,614,713,071,426,
702,970,342,577,425,958,444,337,260,323,141,266,816,347,818,293,823,091,623,
134,755,682,372,315,471,430,825,466,745,346,174,342,533,981,538,078,266,027,
797,860,150,309,084,898,365,292,936,210,824,158,056,373,830,842,523,244,374,
924,772,180,500,734,970,808,322,223,933,141,538,253,037,227,751,322,844,641,
770,660,195,926,949,102,392,805,607,431,861,758,290,117,577,296,988,981,018,
803,017,020,654,217,910,698,066,673,030,570,284,900,506,571,720,386,157,851,
405,903,706,529,473,745,955,015,831,025,055,743,778,648,568,156,123,197,965,
225,797,194,133,727,575,635,222,009,919,963,552,338,283,437,481,861,670,509,
648,215,501,549,882,958,848,903,388,171,737,184,447,627,872,525,284,981,693,
097,522,185,066,341,536,736,530,716,778,922,774,091,987,388,783,395,194,144,
826,636,352,017,127,767,322,420,487,458,443,862,807,117,659,180,800,908,539,
821,841,706,851,216,970,108,408,556,839,144,480,274,972,806,276,153,856,441,
536,858,485,057,223,456,241,835,198,877,389,764,838,487,398,751,153,192,859,
743,433,610,259,122,182,404,012,769,466,752,878,752,721,187,019,729,442,290,
662,802,357,465,881,363,549,738,879,601,879,778,081,708,553,192,583,758,068,
967,449,781,803,560,314,009,724,016,334,432,729,222,310,536,301,495,961,937,
168,483,011,393,897,270,736,556,931,317,013,662,302,530,914,986,011,122,480,
926,021,907,794,019,414,120,974,932,906,129,302,431,908,993,312,182,656,150,
768,864,070,562,070,463,760,946,957,351,405,261,875,608,745,925,673,140,466,
477,169,401,476,794,000,210,305,344,648,241,331,322,514,175,533,651,380,394,
537,641,198,701,897,648,443,534,197,167,018,217,531,330,296,549,319,389,866,
315,519,451,347,265,551,125,169,029,579,523,741,556,936,705,829,879,867,123,
477,205,328,492,242,300,117,249,722,570,120,086,188,248,806,424,133,633,731,
324,716,458,170,997,212,447,955,721,664,382,283,514,783,223,378,958,275,646,
827,726,179,661,120,552,434,347,729,349,265,411,010,747,649,334,559,331,842,
632,964,128,616,191,740,212,989,825,274,021,693,921,618,557,455,307,369,457,
705,018,047,309,505,642,019,790,225,917,056,153,787,612,542,669,439,278,455,
689,490,227,800,063,123,354,243,288,332,247,238,217,320,646,630,262,896,265,
004,281,673,592,295,963,918,665,712,609,177,682,132,158,486,695,727,451,093,
892,873,567,447,555,790,366,525,655,679,968,229,159,312,459,055,839,933,184,
515,067,183,717,575,361,059,176,429,027,617,985,559,333,919,572,144,640,299,
361,635,427,122,348,187,706,593,944,744,752,818,374,105,785,805,750,036,946,
348,387,116,473,973,528,442,843,126,995,755,659,273,467,801,408,320,108,092,
348,442,018,088,097,682,961,328,447,681,070,907,054,495,844,506,973,913,057,
443,384,898,167,039,350,202,543,997,951,439,152,729,309,502,174,695,355,990,
720,935,061,002,650,962,413,739,780,477,912,958,696,877,614,578,758,905,718,
640,645,675,496,617,288,989,730,421,390,345,572,678,845,478,054,002,271,533,
054,026,191,208,151,689,591,250,958,902,935,654,337,361,737,832,525,462,948,
079,187,694,204,258,007,175,869,837,180,339,572,855,904,101,481,298,133,852,
086,190,596,787,912,864,949,538,603,706,728,036,104,316,242,831,464,161,598,
745,166,053,706,959,484,996,107,105,171,982,926,981,220,879,379,936,695,605,
343,088,135,124,683,892,961,564,459,208,804,748,200,168,922,185,686,987,079,
219,019,109,711,722,820,578,671,490,774,479,504,795,603,593,853,064,414,382,
347,387,685,166,782,728,912,869,585,403,505,168,290,178,728,980,433,576,537,
192,093,586,250,810,541,809,403,431,279,340,169,652,241,607,807,973,517,607,
112,170,546,884,288,761,320,100,841,414,284,716,069,230,402,176,500,734,379,
256,900,900,887,807,374,800,617,399,410,951,828,438,824,252,217,037,359,638,
998,003,104,644,527,737,236,796,899,202,471,718,393,336,457,023,447,919,914,
681,013,119,929,719,299,380,993,975,767,399,416,389,271,545,225,915,933,707,
448,666,399,902,317,772,958,374,214,629,315,126,492,359,680,451,004,275,716,
461,328,541,847,316,438,513,201,920,960,896,473,120,608,055,446,224,898,749,
149,782,725,088,008,920,102,307,647,313,275,449,867,371,141,838,053,817,446,
473,167,519,906,639,293,624,952,036,537,279,543,451,938,254,230,989,605,774,
380,302,140,531,081,582,084,566,414,905,527,690,709,615,996,873,651,667,986,
102,556,559,226,002,140,737,365,035,784,410,699,387,866,000,072,880,097,998,
987,929,564,192,802,931,777,400,415,252,447,366,163,563,688,290,517,771,189,
545,210,368,414,205,210,729,419,458,331,751,032,398,876,042,439,200,148,985,
740,753,077,419,607,614,527,815,883,532,325,321,432,856,063,213,454,506,262,
616,017,008,231,587,405,095,025,969,529,072,277,840,123,853,711,215,929,668,
608,407,901,360,296,969,434,564,247,401,227,980,197,525,230,228,865,462,867,
651,549,238,028,196,337,533,071,286,495,142,209,111,742,452,812,166,587,340,
263,048,833,566,947,871,153,816,137,446,484,991,896,266,487,070,176,893,108,
185,259,902,104,503,201,706,624,211,135,891,266,365,889,586,501,986,447,368,
657,779,447,727,799,387,742,447,475,847,408,100,856,153,619,080,113,667,427,
267,776,595,718,394,376,690,315,283,882,217,107,473,812,578,228,949,196,735,
785,831,663,833,261,900,075,914,615,849,813,483,063,220,614,376,573,596,048,
407,535,634,316,548,948,317,404,540,580,362,840,487,295,867,274,576,737,388,
497,748,256,191,160,897,238,915,428,173,057,023,069,894,254,903,845,511,781,
717,533,839,300,932,663,579,324,422,796,977,380,153,990,299,232,739,205,382,
963,023,925,623,970,646,520,409,189,967,394,514,217,469,459,241,764,558,788,
751,675,562,925,492,654,141,720,410,608,224,836,513,703,312,234,090,280,418,
562,221,699,566,525,362,014,873,481,752,650,382,951,989,233,357,916,529,428,
880,944,453,057,187,816,495,403,254,825,936,906,311,469,314,956,034,034,753,
034,934,629,255,275,729,546,088,080,283,115,114,321,179,337,309,539,190,983,
590,001,156,049,398,940,436,968,538,089,671,238,944,243,190,123,705,331,020,
595,689,897,003,373,371,990,065,061,087,870,425,942,120,905,733,766,932,341,
055,457,682,551,974,086,272,105,617,926,119,687,312,795,033,611,143,478,326,
977,292,749,778,953,580,846,138,339,774,344,601,099,776,023,321,169,945,906,
670,970,203,311,737,442,487,283,789,019,945,492,778,810,587,939,755,142,788,
166,331,367,279,272,616,002,447,593,010,695,077,194,501,023,166,265,434,473,
193,077,136,565,777,895,497,350,700,135,306,072,404,187,182,896,264,689,853,
129,015,906,756,057,462,777,855,949,741,477,802,040,413,305,342,646,343,689,
466,515,928,034,707,830,495,132,543,690,135,010,635,028,517,157,495,262,852,
483,309,344,713,299,726,614,374,370,830,746,007,133,422,161,234,019,061,941,
932,518,737,850,017,406,884,887,095,844,539,525,799,127,128,896,910,473,314,
483,599,127,001,731,672,401,232,548,828,417,313,964,781,747,143,561,296,757,
736,814,786,167,966,270,443,096,427,731,120,368,555,686,092,503,713,488,526,
538,337,449,298,335,638,432,606,398,710,234,831,991,980,923,666,727,628,653,
631,530,232,358,994,768,538,354,607,732,192,435,734,306,835,917,403,756,681,
666,186,143,235,809,393,771,948,261,249,662,319,253,755,145,121,107,034,673,
374,193,370,078,693,369,898,747,618,090,341,711,850,991,194,264,189,067,459,
790,945,400,433,854,677,133,455,967,224,860,114,289,012,151,469,828,585,334,
960,403,050,988,931,414,369,723,835,994,762,810,816,113,023,519,955,766,418,
934,821,912,523,992,021,375,029,793,031,178,454,422,799,086,477,587,457,481,
552,779,738,941,645,043,846,179,307,815,409,843,694,151,852,607,645,654,926,
681,204,953,734,759,069,850,277,971,221,706,833,002,211,529,131,018,499,896,
611,173,987,567,965,004,575,931,734,070,432,983,162,399,851,770,166,518,007,
120,856,146,769,255,923,120,467,825,211,055,529,389,079,484,487,902,359,082,
782,311,712,365,040,267,210,952,916,213,192,200,103,246,527,805,805,416,348,
958,452,111,210,177,614,967,283,339,875,438,633,790,123,609,527,355,320,980,
052,612,143,561,341,405,308,750,306,678,540,685,139,589,459,746,780,005,176,
349,142,562,081,847,564,522,925,179,981,824,238,883,621,146,052,584,772,294,
928,187,128,631,438,724,055,257,390,290,739,596,198,911,250,657,475,538,370,
199,014,645,802,630,356,808,635,873,710,071,350,637,649,852,564,451,735,083,
139,082,401,325,123,371,145,042,397,616,994,357,322,857,385,260,570,927,383,
202,695,860,937,942,487,893,099,283,591,521,883,282,559,648,321,112,180,213,
348,788,427,910,282,293,335,377,976,498,325,753,766,682,123,149,828,141,152,
643,355,792,448,853,511,789,690,731,850,221,089,845,778,523,406,210,835,404,
925,873,095,034,162,272,476,028,013,881,806,633,648,289,185,332,129,839,515,
282,781,728,399,461,715,214,645,637,699,634,740,297,392,095,679,950,215,333,
313,859,750,981,027,846,555,660,478,132,323,435,708,405,602,939,402,830,706,
856,238,611,497,471,659,487,153,573,952,389,615,893,821,123,715,311,284,125,
919,390,174,339,875,058,975,652,052,664,764,953,182,718,973,155,901,540,097,
581,101,438,114,349,247,311,766,962,512,669,140,211,290,571,586,821,746,205,
297,437,258,085,579,635,567,353,454,468,567,604,387,456,090,323,488,101,751,
780,864,474,418,007,755,418,190,660,598,644,565,689,822,502,696,666,409,264,
062,145,527,934,835,043,110,366,895,378,729,387,261,587,678,434,379,286,510,
452,260,535,697,934,836,183,086,765,037,911,330,027,490,548,148,551,978,249,
982,408,281,641,092,416,229,858,156,200,845,141,102,649,674,359,659,892,966,
775,501,138,130,736,295,741,379,100,932,732,753,599,532,729,595,058,188,689,
331,268,136,742,689,630,912,808,133,344,051,391,072,000,025,986,236,109,505,
025,510,165,319,915,493,840,506,040,119,301,190,857,493,622,693,740,404,233,
689,523,875,349,842,248,962,520,203,730,605,048,667,414,145,246,598,305,204,
414,115,069,223,271,124,954,607,303,765,700,553,169,807,597,490,211,564,963,
363,560,105,685,802,201,791,931,155,211,430,812,504,429,373,331,257,637,466,
804,236,752,629,587,065,610,123,970,389,583,072,461,872,949,095,634,968,839,
413,620,187,629,888,986,377,654,903,995,300,232,437,133,947,843,340,662,160,
261,374,678,845,557,394,506,102,897,082,202,626,486,893,628,789,746,740,635,
496,589,692,940,934,046,932,208,674,572,063,333,518,437,817,375,371,227,180,
549,774,051,032,671,220,372,915,807,979,809,552,042,351,265,787,893,318,454,
780,072,816,278,310,216,670,809,914,899,451,198,313,662,310,883,858,582,061,
803,609,001,639,119,915,193,158,137,258,113,155,147,800,552,996,529,967,998,
392,039,400,680,136,483,286,145,742,397,348,671,669,133,136,131,615,981,392,
531,709,673,544,191,227,659,999,728,173,284,934,669,594,586,120,163,627,988,
673,767,798,917,683,171,133,551,690,174,957,014,641,649,419,796,295,615,154,
837,711,804,517,285,850,915,225,493,525,541,687,276,825,699,094,413,384,003,
673,936,258,292,083,738,575,296,487,576,985,394,507,235,877,529,522,616,430,
179,603,421,839,029,524,191,683,839,705,288,099,098,384,369,971,330,515,673,
243,185,114,058,133,951,517,476,200,665,522,324,146,929,673,922,251,082,038,
243,167,860,958,301,997,691,127,403,754,968,699,940,792,214,142,428,063,037,
842,099,112,866,200,990,949,681,891,751,074,483,434,088,725,920,481,307,237,
192,888,347,671,963,156,392,299,438,643,952,779,762,778,568,202,209,564,519,
218,706,199,913,082,212,745,271,675,704,699,984,406,473,711,340,348,200,491,
182,855,294,725,593,329,613,879,773,423,390,246,668,319,749,735,417,316,856,
376,417,272,838,211,419,167,328,226,896,480,115,002,345,680,085,616,324,565,
967,353,237,438,593,654,858,312,112,712,422,849,831,456,912,797,058,260,342,
089,636,823,359,109,833,553,204,985,111,029,004,728,901,621,715,043,007,455,
576,600,880,404,725,654,192,814,102,336,825,029,113,978,361,762,336,636,200,
578,607,972,201,484,230,218,052,501,696,847,567,796,251,957,944,311,752,792,
270,130,101,699,260,609,913,791,052,518,819,708,327,283,225,935,045,303,607,
148,642,010,274,233,299,424,132,536,284,865,915,205,841,068,452,573,257,411,
562,025,057,298,233,455,386,350,758,299,486,980,804,965,405,323,467,637,909,
680,043,890,197,757,800,249,979,881,251,477,623,449,545,834,289,360,940,453,
332,085,619,766,659,312,644,272,377,708,361,860,259,261,561,982,643,401,142,
088,507,807,012,835,992,742,722,218,285,855,908,246,985,173,034,029,578,105,
232,577,158,558,072,640,504,683,746,933,075,503,256,063,061,348,911,445,795,
705,011,014,166,386,974,994,628,211,012,954,898,004,106,533,227,745,284,711,
742,479,735,155,830,881,876,301,659,560,167,870,581,620,566,883,854,329,187,
377,498,883,436,397,411,300,507,767,631,596,498,308,617,730,596,711,936,687,
911,071,954,352,691,064,853,491,649,607,129,895,711,312,472,816,805,755,584,
242,357,255,282,699,226,833,175,482,016,730,509,980,745,886,343,335,928,867,
534,180,477,113,465,182,958,998,016,391,731,908,478,674,273,287,401,585,099,
751,470,932,358,161,739,287,948,279,452,567,160,154,923,952,062,801,880,050,
604,422,490,346,139,147,518,587,253,172,014,495,785,490,401,524,455,339,052,
851,724,895,925,909,050,443,117,797,905,355,731,658,082,155,006,408,713,677,
014,966,385,196,548,014,385,068,287,467,299,651,439,411,877,012,715,590,477,
487,623,942,340,990,259,396,794,879,278,275,063,570,957,554,235,831,586,355,
492,438,696,437,011,514,034,460,288,236,982,045,903,009,736,856,832,877,936,
879,055,813,661,036,420,648,510,814,704,476,660,164,990,780,554,954,740,049,
893,495,121,869,203,159,558,641,937,416,355,689,121,134,034,322,108,251,742,
865,101,825,493,096,747,510,359,709,604,579,000,065,394,050,958,642,077,206,
158,065,811,235,676,086,142,178,728,748,772,897,152,764,193,185,447,673,215,
147,339,313,835,427,796,019,052,484,892,049,996,135,728,363,895,287,351,430,
466,707,318,306,041,741,430,465,705,954,878,340,224,817,570,796,221,664,810,
830,077,533,800,260,869,434,727,266,270,387,818,858,495,037,026,475,933,153,
017,576,772,806,098,807,388,683,435,065,115,029,263,503,585,202,883,336,486,
531,061,745,065,339,379,048,078,017,054,077,037,925,303,130,751,875,550,719,
953,032,872,001,266,676,619,266,288,208,709,939,299,207,706,904,653,345,805,
350,208,566,676,470,922,681,017,535,557,538,495,217,967,299,427,489,208,333,
011,161,689,245,467,909,421,084,358,071,974,293,642,227,333,353,089,882,695,
703,044,222,527,921,397,380,263,178,245,721,235,829,086,875,045,548,022,717,
745,429,854,673,479,616,248,876,919,404,223,656,447,317,748,931,931,981,456,
426,428,113,897,520,207,229,748,374,815,390,710,297,978,956,012,656,071,452,
595,473,331,311,038,778,435,247,723,387,946,867,737,237,650,482,841,426,166,
852,284,608,138,801,473,082,597,675,896,753,773,530,147,819,917,597,036,312,
074,754,330,276,809,273,662,673,440,433,608,056,767,820,103,102,116,470,993,
900,315,049,410,283,743,736,133,435,698,420,914,808,536,198,964,804,567,648,
371,782,925,031,844,368,734,117,662,032,530,033,735,129,779,963,607,989,668,
663,869,762,102,227,094,320,355,792,815,758,783,649,351,716,666,713,476,931,
602,874,119,277,765,723,130,100,517,405,093,819,098,770,116,748,517,752,541,
866,253,792,176,686,761,819,236,085,568,568,673,026,528,121,279,054,679,544,
423,830,005,802,860,849,045,189,147,002,079,464,147,425,570,980,546,675,051,
416,968,162,080,925,022,198,827,980,738,895,315,415,126,864,126,273,641,049,
474,653,401,996,816,787,070,934,965,652,164,237,707,864,607,050,318,191,623,
372,691,824,264,106,934,171,319,109,007,189,530,471,247,869,981,645,907,629,
407,227,529,976,550,971,132,781,728,814,241,844,156,376,641,322,451,765,899,
094,302,093,454,496,253,089,361,240,197,145,535,277,405,975,271,984,543,301,
392,589,311,337,131,821,147,793,325,725,475,601,073,996,804,839,781,891,271,
202,611,418,793,897,581,892,615,543,288,154,512,373,282,439,544,819,819,709,
735,627,886,042,651,112,860,026,462,082,160,172,596,033,628,184,690,739,604,
651,527,679,682,393,566,342,251,738,442,217,043,504,167,168,609,969,097,821,
393,483,612,465,641,481,311,622,845,167,120,794,093,240,661,844,605,378,546,
044,297,176,110,968,255,512,274,568,316,060,568,243,294,151,372,645,317,473,
186,814,341,603,633,645,934,118,834,158,573,772,935,620,151,922,396,876,990,
082,006,428,125,812,024,497,642,871,379,874,914,679,573,724,885,348,528,072,
876,202,746,880,162,017,300,039,919,525,078,351,151,930,440,758,224,326,896,
267,864,799,103,180,596,828,037,371,169,987,197,582,479,308,091,264,206,737,
766,168,377,469,266,658,074,635,618,960,961,321,404,890,165,826,097,816,612,
753,215,135,510,796,241,342,054,907,556,543,424,050,186,915,321,169,821,414,
028,079,166,829,613,820,634,262,659,777,846,042,458,760,817,314,979,740,101,
473,432,143,230,434,948,519,447,380,096,095,830,962,644,655,299,635,118,372,
169,830,624,129,032,086,254,158,720,746,247,996,740,855,629,178,954,012,758,
321,964,921,831,935,401,160,034,321,708,006,251,398,781,110,612,992,348,932,
522,095,644,347,002,577,844,309,823,429,427,145,176,196,798,420,570,507,986,
495,363,588,252,677,548,291,394,184,101,554,786,066,872,784,699,045,597,495,
828,884,878,834,708,190,942,267,147,075,079,689,660,794,383,106,860,510,159,
080,732,105,996,443,352,402,298,367,704,815,211,072,838,585,914,922,896,334,
611,192,840,888,780,423,768,008,855,326,787,540,892,954,281,868,509,182,154,
857,894,899,784,668,699,673,422,285,485,144,545,756,510,793,010,693,885,110,
704,294,685,731,568,464,030,535,398,802,157,859,224,585,599,048,041,304,222,
021,316,541,346,303,704,830,077,950,589,881,138,919,594,152,412,646,362,630,
323,930,528,933,289,058,986,990,795,836,845,957,269,675,524,734,668,967,623,
203,351,194,325,339,988,886,627,417,472,918,610,950,116,094,551,180,898,392,
673,019,294,854,180,136,076,698,175,485,867,460,767,209,934,008,362,013,975,
608,808,072,713,451,377,984,427,432,897,411,426,217,631,299,494,694,618,986,
567,604,194,407,278,504,042,119,878,299,870,704,372,178,206,308,268,604,588,
981,669,777,556,986,990,868,864,728,617,331,326,097,614,707,042,309,420,837,
843,090,933,755,871,510,939,670,976,801,938,906,426,966,014,694,572,482,119,
908,079,879,247,370,256,436,395,653,666,526,285,665,057,873,609,897,699,834,
674,713,643,183,303,968,282,964,595,635,915,893,774,895,724,692,646,009,273,
787,395,504,882,130,090,329,200,596,020,828,577,060,877,203,879,818,733,510,
726,943,756,719,630,048,370,339,847,554,328,980,456,223,737,332,755,377,411,
336,786,740,944,838,732,346,717,445,596,656,059,778,450,456,384,713,856,225,
967,611,370,433,279,166,180,260,882,265,358,848,826,406,346,090,125,244,441,
529,205,043,276,295,440,822,542,434,083,937,997,882,923,396,448,083,619,781,
040,631,284,685,081,614,678,784,383,402,402,955,328,134,564,131,617,913,261,
998,686,460,145,146,762,962,134,041,530,937,705,424,895,363,475,753,303,773,
695,440,933,401,930,291,122,246,798,240,248,627,629,345,926,891,292,918,942,
953,065,661,494,569,133,814,440,787,430,139,896,420,613,356,120,962,081,861,
782,581,861,934,427,491,908,979,080,917,462,050,703,724,841,193,122,621,541,
251,043,383,957,561,048,245,338,511,424,959,605,965,228,897,098,952,786,526,
151,966,029,340,453,207,842,721,223,345,364,987,937,982,943,414,235,628,870,
420,372,750,374,224,720,781,579,337,341,334,451,905,459,131,301,357,147,331,
656,626,791,389,180,451,804,936,604,876,566,449,734,374,062,955,803,492,654,
003,738,614,803,256,952,956,569,001,794,247,938,501,035,980,881,844,316,777,
761,718,620,015,652,146,929,861,863,336,694,360,055,676,753,014,661,866,706,
271,236,167,074,333,556,691,079,387,292,898,921,013,193,996,527,025,262,298,
168,311,816,653,761,601,797,452,592,042,773,677,354,579,574,291,282,215,633,
724,195,976,102,418,795,850,904,595,009,662,445,034,550,317,552,880,320,310,
977,269,485,595,948,062,969,598,471,103,803,745,989,048,407,870,520,627,332,
349,332,441,679,989,934,276,621,785,251,494,140,549,755,955,783,173,370,586,
184,654,536,932,641,776,016,066,328,562,493,678,906,389,986,460,951,037,168,
653,099,154,571,423,382,837,806,192,618,754,298,369,756,260,488,651,434,951,
119,386,655,885,570,923,549,086,434,571,437,889,604,744,702,409,511,179,016,
245,823,566,717,113,309,032,077,257,587,301,903,741,185,812,040,283,217,133,
686,010,073,544,142,201,095,799,341,793,618,025,724,307,431,136,332,355,698,
720,749,560,957,477,749,436,964,627,179,547,284,436,825,730,900,137,548,128,
129,898,968,853,292,187,644,879,684,855,870,202,866,147,318,903,028,250,335,
585,898,876,645,426,312,489,431,427,333,909,159,846,533,826,153,237,077,798,
073,592,975,102,016,264,212,530,259,374,857,434,617,861,256,130,878,311,652,
410,949,216,786,320,011,553,527,507,736,098,887,839,983,244,093,599,712,418,
151,472,930,569,686,367,585,701,984,423,262,824,501,245,124,259,581,780,032,
875,498,446,172,134,485,402,628,658,452,079,896,106,160,029,538,306,214,253,
991,365,636,943,112,942,687,390,792,669,197,935,278,357,306,130,591,144,341,
807,370,598,042,809,132,326,166,337,360,991,603,136,496,607,599,657,858,215,
561,902,537,539,310,653,516,661,690,880,555,281,116,782,244,451,059,314,740,
807,998,403,059,519,520,168,797,453,153,324,630,108,634,034,920,053,655,181,
169,895,794,097,521,929,346,882,954,030,047,048,101,460,761,707,681,749,257,
974,421,461,396,351,027,777,296,222,389,287,703,501,700,605,913,448,631,741,
850,056,663,565,771,632,866,255,041,572,738,259,147,493,601,130,416,075,136,
896,731,696,448,621,899,516,211,759,261,983,641,465,856,399,406,713,615,046,
869,156,564,366,367,763,424,599,008,618,759,928,834,184,449,355,651,999,233,
051,495,507,966,013,573,295,431,052,212,496,101,826,059,061,783,609,539,935,
834,670,667,983,700,523,166,854,840,533,781,142,916,489,619,456,897,588,304,
347,844,763,115,876,296,433,030,845,876,456,676,507,081,232,191,289,582,425,
750,619,981,301,398,077,931,208,467,498,899,006,275,197,004,491,504,512,115,
969,784,737,977,995,590,097,936,958,348,280,261,097,740,323,977,806,265,528,
323,862,879,282,880,283,758,469,003,758,044,886,839,664,901,348,704,456,855,
317,828,969,350,373,806,676,381,359,937,091,138,067,457,379,856,284,481,153,
924,698,221,855,579,582,994,400,144,651,087,510,160,262,886,989,434,152,746,
611,425,280,286,246,843,852,289,596,826,252,764,168,566,367,286,922,807,784,
241,878,123,051,953,385,812,860,026,500,592,107,279,473,644,240,356,341,649,
501,353,497,967,687,166,148,875,491,252,567,433,295,545,992,136,392,879,903,
501,081,480,010,116,152,846,481,060,551,033,882,607,246,212,859,052,163,001,
012,116,877,132,163,212,164,918,656,205,454,088,711,039,271,358,063,857,886,
762,043,574,382,756,239,597,275,706,328,292,125,134,852,323,470,636,035,789,
369,489,333,106,715,416,538,195,958,873,214,205,959,045,105,600,463,574,845,
549,325,559,675,898,144,943,575,795,587,447,039,902,390,561,616,980,599,159,
708,232,084,981,322,833,012,009,455,124,775,841,640,108,904,651,765,578,116,
773,504,077,338,469,630,444,988,106,756,824,084,186,668,399,044,753,326,459,
460,534,395,801,606,610,292,248,097,817,664,143,898,247,691,737,437,250,643,
186,395,667,621,455,813,233,833,043,505,360,953,058,763,037,763,883,793,461,
278,763,341,945,506,143,015,224,993,913,653,161,091,014,136,569,783,988,272,
706,191,860,743,881,134,781,037,393,749,500,078,810,906,947,592,630,979,446,
535,085,632,129,115,480,808,656,710,740,246,609,341,447,442,138,198,988,214,
435,844,755,296,971,822,125,977,902,151,588,757,970,527,879,931,368,741,710,
265,128,915,892,682,034,992,259,830,573,683,228,833,991,221,019,729,308,043,
377,734,291,061,594,444,761,989,852,980,014,566,072,067,210,994,134,201,765,
904,358,880,751,902,567,467,194,119,766,862,932,008,605,284,066,224,095,088,
260,801,280,910,354,270,849,578,305,436,279,804,660,910,565,351,302,383,773,
760,241,868,403,412,651,854,616,604,825,174,711,163,813,427,650,148,602,293,
322,729,180,940,536,423,889,209,620,975,575,387,043,750,593,488,203,889,105,
231,561,077,152,311,004,414,998,865,772,610,764,769,317,722,164,836,175,518,
679,576,741,314,635,579,396,385,980,650,188,764,653,542,512,622,522,791,045,
003,058,070,052,102,550,656,704,131,645,863,303,788,713,387,020,782,637,329,
071,353,171,957,498,580,805,701,586,876,854,585,791,771,059,980,615,463,503,
943,976,247,459,313,314,079,285,190,231,704,587,846,353,538,119,228,064,796,
809,918,128,273,177,251,681,550,797,188,542,526,886,434,553,656,130,171,204,
270,971,799,476,871,736,707,415,092,042,308,610,445,078,468,496,675,574,704,
848,030,032,322,819,116,572,217,634,450,846,539,333,348,544,196,165,538,846,
018,577,478,267,435,115,485,629,314,228,644,298,029,225,708,054,838,622,588,
660,429,606,793,309,171,898,771,392,402,424,104,099,407,278,135,302,160,079,
271,143,202,788,413,042,079,037,856,034,924,381,637,938,187,404,695,297,726,
389,173,265,672,901,031,174,260,326,759,806,077,666,115,530,024,002,599,637,
709,229,975,986,711,874,928,327,889,838,331,201,069,980,701,616,016,014,403,
976,710,707,609,056,606,833,469,708,063,503,664,339,869,195,535,098,915,613,
469,469,878,681,788,227,785,261,422,565,386,672,093,299,358,005,773,986,151,
687,476,083,252,716,872,212,791,635,840,329,789,212,726,235,186,065,671,285,
418,217,872,848,457,397,997,854,613,992,377,463,472,679,658,867,922,388,710,
152,086,459,145,045,361,291,438,677,722,093,446,284,719,063,100,743,067,440,
366,581,440,382,507,009,990,609,439,013,571,148,964,395,031,326,201,575,605,
703,702,999,616,303,156,666,163,693,743,922,563,574,719,373,664,839,193,868,
451,056,380,931,154,941,673,959,827,696,474,770,497,397,101,062,387,894,338,
452,825,510,108,079,968,014,630,440,943,807,400,478,907,029,519,163,366,408,
175,864,623,545,393,287,953,737,700,304,562,842,632,492,908,468,315,796,872,
491,134,510,257,256,090,298,603,547,548,084,030,906,797,265,750,263,666,322,
031,181,625,690,160,911,642,107,518,256,829,345,455,686,542,553,245,828,383,
327,842,680,017,914,608,590,362,086,117,407,085,228,983,243,524,009,715,828,
959,506,002,610,957,867,653,158,082,342,322,676,172,827,908,273,485,232,560,
625,680,172,586,212,072,544,998,378,884,979,190,240,688,945,195,565,638,108,
918,509,799,093,846,157,514,861,913,103,735,215,523,659,082,078,295,895,738,
880,016,242,023,633,172,021,584,986,627,074,530,176,021,354,778,599,212,829,
088,335,164,531,899,211,097,707,076,888,573,062,608,593,497,469,510,079,851,
031,758,011,379,938,514,757,623,753,067,579,399,154,661,103,285,306,817,950,
404,951,289,193,126,603,253,205,291,155,536,456,694,808,356,877,297,533,690,
578,797,052,181,376,579,571,443,125,097,304,677,224,707,841,163,480,274,885,
643,620,183,040,014,674,595,354,771,219,108,267,507,715,423,610,570,352,299,
807,095,204,309,224,673,997,820,835,988,500,610,675,733,573,505,995,959,604,
610,917,067,305,068,928,281,932,367,844,670,005,687,502,259,060,156,421,862,
062,897,777,779,695,714,693,139,102,426,681,625,265,774,425,065,621,615,506,
579,086,383,741,933,736,234,272,429,196,674,990,899,250,153,555,567,618,400,
028,871,432,632,361,701,092,219,067,278,556,347,641,349,305,355,884,936,223,
346,178,430,490,549,200,883,292,920,037,193,061,563,497,515,614,038,408,452,
200,266,539,599,321,244,873,047,324,726,289,830,033,871,798,656,424,063,876,
197,078,486,933,859,372,481,684,691,536,038,905,916,183,016,792,057,829,807,
503,560,949,929,604,005,822,615,144,878,169,262,118,697,728,138,844,206,932,
313,656,462,508,394,345,980,000,703,482,241,198,886,599,923,214,867,441,927,
723,553,226,517,803,303,350,077,934,713,738,844,615,613,374,037,144,814,605,
035,585,190,277,530,367,056,445,649,279,956,448,343,240,607,466,430,139,815,
003,972,751,587,085,018,250,863,523,981,790,832,313,971,316,433,840,698,320,
519,139,317,554,795,859,806,369,459,514,746,571,647,312,952,020,626,945,530,
883,081,012,079,847,176,978,383,836,397,998,796,886,389,834,876,707,056,886,
155,796,784,216,700,285,944,856,876,040,158,488,631,962,657,385,994,337,719,
798,214,622,847,201,879,307,053,462,913,332,343,061,787,945,551,565,873,639,
888,805,580,446,519,682,170,388,484,442,516,422,750,376,330,585,172,072,613,
719,591,433,797,617,854,506,315,296,688,527,950,789,288,765,080,428,184,340,
229,345,911,155,175,858,670,513,516,290,500,697,740,120,523,686,967,281,039,
273,334,102,974,879,231,716,459,750,522,097,689,976,197,897,015,996,300,518,
537,294,608,978,707,844,900,813,685,774,753,929,634,858,136,552,831,921,859,
849,488,749,555,178,275,878,839,796,772,828,378,710,516,332,189,682,105,241,
115,058,762,545,164,370,383,691,498,944,228,694,358,928,900,165,312,710,695,
995,295,745,830,982,466,471,329,800,939,801,607,022,044,046,393,789,837,092,
298,299,928,450,243,501,647,277,158,853,955,467,637,821,796,294,553,422,916,
273,041,142,112,414,759,799,094,074,662,881,723,567,375,386,589,480,145,270,
175,347,491,933,010,098,093,306,784,081,019,549,947,731,216,443,853,287,777,
204,286,054,087,892,215,488,634,337,600,540,232,634,548,950,219,247,487,499,
279,969,445,036,207,145,160,952,804,455,732,701,457,239,126,027,442,304,048,
343,541,214,817,362,127,695,406,790,355,513,272,246,158,828,670,587,639,997,
530,317,676,753,490,823,450,107,990,712,319,117,682,840,225,057,485,941,804,
505,885,977,313,376,514,402,678,432,479,072,374,178,115,122,975,233,879,866,
778,758,568,543,443,778,329,789,050,345,970,950,374,814,476,314,214,317,353,
612,862,448,445,649,844,146,165,241,025,174,871,950,870,982,199,347,869,278,
158,007,567,049,884,261,687,491,021,018,637,882,774,101,790,504,648,606,662,
185,159,380,727,109,353,485,873,762,849,037,418,861,000,397,286,625,338,892,
846,139,513,570,309,778,333,167,929,874,972,958,397,420,322,861,187,527,694,
897,583,517,276,747,924,771,818,477,783,735,730,797,753,045,252,427,937,462,
492,492,951,850,559,815,007,652,945,682,598,228,593,537,688,130,025,712,057,
091,098,434,881,838,007,010,030,998,178,298,777,988,526,236,604,273,008,843,
675,508,224,056,583,879,813,031,702,056,914,314,981,525,114,390,556,496,961,
029,302,834,983,199,323,540,785,619,078,658,967,653,375,445,535,708,208,409,
256,814,265,830,246,459,384,643,842,829,223,931,491,125,162,863,920,258,933,
006,039,011,050,314,895,859,062,691,907,407,178,434,927,981,958,253,145,379,
892,940,058,035,723,371,377,031,713,088,211,957,590,196,598,601,971,855,111,
800,374,167,981,711,472,125,683,055,079,362,626,198,392,496,301,596,699,166,
421,003,665,306,043,901,466,651,629,279,431,198,749,286,428,881,333,651,588,
551,566,883,143,692,302,971,010,481,194,706,505,321,758,623,132,294,258,055,
586,753,376,239,506,647,410,035,609,293,500,744,367,237,574,131,320,047,915,
435,418,618,996,548,581,443,451,267,742,769,869,495,887,944,032,613,818,795,
444,950,501,824,809,997,923,222,405,583,741,472,887,549,944,636,464,673,566,
766,280,885,142,871,158,126,539,517,104,773,350,962,159,562,409,275,043,063,
466,035,765,068,231,253,816,203,124,886,108,451,777,360,676,889,153,555,133,
741,756,630,676,654,454,199,947,502,148,251,150,437,976,515,590,528,793,718,
629,100,454,191,711,887,943,041,542,684,602,516,180,714,934,106,330,969,260,
176,338,335,227,684,816,991,817,128,462,465,696,480,298,819,931,013,901,323,
653,343,843,687,758,025,028,977,040,239,672,073,676,134,618,958,641,530,626,
726,396,671,075,050,451,521,092,563,156,275,767,085,266,537,299,950,123,587,
418,419,059,900,994,711,095,233,921,586,463,549,193,935,794,573,870,175,214,
165,853,843,395,655,721,285,382,048,457,400,043,442,924,302,155,046,582,712,
827,586,923,293,148,015,884,106,673,190,703,792,427,647,335,290,900,590,265,
476,442,978,200,818,612,404,820,804,210,931,845,728,830,573,740,030,633,656,
176,606,991,649,045,922,407,724,511,043,096,360,538,907,402,646,152,104,077,
156,480,018,773,401,854,672,576,898,487,835,738,184,126,190,449,300,302,385,
470,110,890,461,092,420,677,612,836,165,621,358,457,935,140,130,707,486,297,
746,005,827,881,599,904,456,644,135,779,522,085,709,158,828,212,407,138,754,
500,960,549,776,362,095,501,638,622,361,311,346,313,997,794,125,685,609,704,
416,589,456,268,691,484,979,873,765,371,225,287,804,959,148,906,265,513,330,
952,361,407,303,001,023,759,158,939,627,179,345,844,113,841,907,785,852,674,
907,479,378,700,517,972,737,657,586,202,496,315,560,827,849,668,155,935,389,
038,071,312,330,165,789,369,188,092,584,253,901,321,343,967,424,427,537,387,
708,165,633,654,995,680,272,156,333,073,528,958,711,333,865,343,984,140,187,
834,004,820,276,673,922,759,628,574,845,046,568,901,385,347,460,991,650,997,
182,148,723,824,529,270,028,782,535,713,678,473,930,585,973,184,524,914,987,
847,872,739,697,376,549,823,084,402,599,640,766,711,946,971,754,648,314,940,
614,852,499,918,281,297,804,970,913,664,070,850,141,071,737,582,831,929,921,
381,939,678,035,705,576,328,634,871,910,634,353,238,865,528,555,227,399,553,
400,701,659,945,502,169,008,951,349,885,730,376,497,410,719,231,397,200,090,
595,136,625,565,646,645,080,001,945,228,665,253,860,950,490,704,782,033,935,
644,377,963,999,485,456,114,444,092,909,647,255,680,855,589,414,211,645,893,
293,154,676,077,313,570,566,281,043,691,136,243,815,023,164,819,718,900,463,
874,825,776,454,384,022,191,762,746,843,073,262,953,182,358,832,224,526,927,
833,277,113,759,022,358,112,453,456,027,594,525,953,630,062,125,466,093,264,
305,236,778,376,026,158,020,843,364,243,312,653,044,161,960,978,496,410,226,
264,445,627,082,256,414,608,236,202,714,860,721,071,603,879,766,262,102,699,
216,069,753,019,235,120,084,351,733,845,494,825,136,100,212,458,108,442,776,
946,084,457,780,729,946,539,268,190,993,933,349,632,573,951,591,254,716,171,
671,638,223,557,480,698,390,212,069,374,310,200,297,705,758,306,020,435,668,
985,191,570,417,866,021,746,068,854,272,044,265,808,344,575,781,321,632,775,
105,677,592,594,288,040,649,670,622,391,506,915,036,721,312,539,757,691,565,
444,160,258,563,802,133,365,096,293,715,198,060,887,530,706,569,505,819,761,
245,279,536,152,804,828,093,663,318,112,600,636,500,535,517,018,197,849,059,
643,081,790,623,106,377,082,929,357,466,822,035,728,871,724,943,395,727,282,
832,115,853,794,633,615,417,974,737,392,156,977,572,443,152,404,940,863,393,
521,166,758,129,479,425,612,028,725,981,488,704,674,701,102,078,878,056,457,
799,795,975,479,961,989,050,328,527,267,161,715,564,863,448,843,001,448,452,
642,645,170,108,968,015,739,195,846,036,562,030,186,505,305,540,412,848,159,
553,500,907,852,942,707,571,454,596,814,183,466,302,402,144,508,109,901,484,
777,156,851,557,986,224,308,223,280,158,547,648,833,822,988,313,219,188,995,
827,188,804,108,239,874,201,973,042,043,841,307,451,712,015,778,887,855,110,
359,169,492,739,397,630,494,913,643,187,284,905,751,808,645,379,384,722,293,
622,926,581,976,672,866,653,646,983,654,373,011,882,794,766,268,360,177,238,
988,391,379,855,113,266,112,160,426,075,781,794,910,182,396,107,083,544,736,
174,007,196,884,656,648,107,484,244,080,475,502,535,606,645,421,644,950,147,
289,649,218,979,875,563,025,402,114,618,695,064,902,084,211,216,988,668,675,
693,566,617,798,647,217,717,982,697,245,326,300,407,811,494,726,822,858,498,
730,235,526,736,574,921,708,758,686,083,522,142,494,651,367,723,443,800,382,
639,546,107,379,870,531,766,066,727,569,306,854,552,594,271,711,880,305,189,
815,698,175,276,465,865,117,262,479,289,275,630,557,263,467,874,074,083,721,
678,394,059,646,220,696,521,008,002,257,363,217,729,944,061,053,826,651,771,
567,242,447,478,995,009,314,681,101,486,627,017,872,879,931,394,016,774,430,
873,699,725,752,039,212,289,213,861,530,364,187,510,086,624,688,414,924,385,
357,601,934,387,175,417,383,208,844,466,477,681,794,384,697,882,588,256,289,
529,173,606,793,122,846,990,022,227,547,062,748,332,866,486,547,247,862,719,
857,373,419,995,055,688,021,673,512,148,491,233,914,121,138,417,328,833,927,
563,284,363,401,724,735,955,827,437,849,773,536,550,948,324,623,029,388,334,
009,345,226,206,375,793,985,308,914,175,334,799,095,650,255,126,896,837,972,
862,629,857,666,562,130,812,801,598,694,462,125,194,558,773,241,939,819,542,
762,036,862,498,762,518,778,282,027,484,644,290,954,196,479,115,030,628,571,
008,831,191,949,733,303,422,705,799,871,319,250,011,526,276,723,778,202,493,
566,881,800,706,032,158,669,315,946,939,640,744,194,038,046,591,872,287,934,
708,173,645,047,711,950,813,564,135,815,499,854,525,948,046,510,194,813,486,
583,811,184,945,592,681,945,443,524,223,815,215,548,021,754,753,234,069,408,
030,412,957,297,909,472,383,950,028,803,276,491,411,393,371,013,914,962,675,
899,020,990,456,646,013,638,816,579,260,382,049,384,482,343,771,346,147,982,
887,566,411,861,491,921,718,968,748,762,131,327,109,259,109,961,103,474,373,
496,474,236,653,857,735,802,132,185,922,880,795,875,088,234,568,017,914,894,
392,859,406,035,851,386,457,138,445,242,211,433,206,076,691,215,596,225,674,
992,662,150,151,916,670,605,046,540,712,602,359,018,356,401,719,921,623,812,
515,823,123,745,179,170,699,506,007,834,481,439,535,171,556,690,702,978,013,
526,829,458,141,431,378,725,606,842,114,766,322,281,528,894,065,033,646,477,
964,991,471,255,717,200,807,445,444,681,339,179,559,952,496,173,646,774,452,
201,946,748,332,095,299,745,009,193,893,454,512,252,647,174,734,772,092,278,
288,481,953,171,983,309,468,299,875,091,455,606,559,507,756,168,507,592,759,
707,813,197,035,779,384,746,145,008,483,290,534,746,079,226,570,126,397,440,
869,306,098,298,209,479,500,327,882,955,634,782,445,363,794,503,094,066,376,
985,192,847,855,300,477,359,597,135,878,964,493,400,332,360,290,138,513,727,
263,903,347,601,216,633,934,442,931,977,054,742,455,488,340,641,098,402,275,
502,559,424,536,525,980,500,707,105,008,429,702,148,599,069,777,973,015,822,
980,121,603,958,072,933,934,237,512,413,653,379,277,937,655,728,774,113,785,
572,663,818,491,237,791,708,236,858,735,929,897,058,292,574,801,751,210,146,
092,359,595,040,140,514,865,097,266,651,316,274,736,172,206,732,973,660,809,
740,026,122,619,187,356,103,919,156,989,747,216,912,472,808,236,319,341,050,
065,099,027,574,594,622,083,171,717,643,661,445,869,756,091,330,619,936,333,
444,347,799,369,349,049,699,104,072,386,163,785,042,555,737,439,697,941,348,
950,765,870,402,134,351,593,315,473,243,975,241,901,487,634,168,881,950,552,
795,898,823,955,722,450,018,664,598,392,861,404,720,206,006,640,878,546,124,
822,379,338,849,347,997,287,277,573,058,153,165,501,749,828,304,619,488,792,
873,834,062,399,114,510,929,881,048,199,770,897,969,567,206,811,915,027,137,
900,277,415,862,758,887,537,611,468,697,799,875,006,610,633,054,481,353,671,
330,221,471,681,092,578,620,123,379,870,587,198,120,634,178,788,420,363,672,
069,490,904,862,722,748,820,380,503,474,327,596,140,406,347,807,482,832,388,
613,292,243,163,256,611,798,797,274,029,266,314,523,262,034,713,836,283,160,
360,374,952,070,094,393,929,267,506,063,301,274,579,638,426,083,486,712,759,
576,886,289,353,895,317,542,335,423,762,681,593,858,840,842,861,937,929,771,
058,361,693,058,711,579,966,161,362,273,338,631,581,105,410,723,901,161,168,
158,917,991,548,417,815,731,145,687,465,400,906,368,862,894,268,598,248,234,
139,050,911,280,309,344,366,180,570,672,146,567,038,897,112,103,593,706,724,
682,898,862,135,951,427,693,659,987,330,729,776,007,866,914,238,891,620,556,
613,821,146,977,417,996,593,916,071,119,283,434,024,951,696,489,035,293,221,
857,918,665,979,924,916,383,996,657,392,553,653,006,791,871,826,982,684,343,
387,269,540,584,628,852,539,480,880,849,582,671,400,043,593,914,856,556,593,
590,825,247,080,476,266,611,673,216,283,805,444,783,688,424,526,956,832,853,
085,350,290,185,214,898,694,036,651,240,445,720,856,552,323,119,073,751,896,
432,339,877,213,687,899,619,734,426,493,923,661,412,997,726,189,915,171,360,
700,062,076,315,821,122,418,460,180,237,615,542,491,035,770,014,061,237,976,
119,661,157,032,301,486,825,996,666,688,859,234,221,009,173,182,166,988,318,
408,859,925,692,723,036,348,087,123,164,354,263,208,826,074,555,348,923,617,
338,260,078,040,522,645,074,322,773,013,380,180,721,622,538,084,153,014,744,
973,729,778,819,106,519,387,074,786,169,827,029,060,192,880,710,431,677,558,
485,137,864,426,678,834,658,752,910,845,253,940,795,278,844,858,770,398,925,
283,919,968,380,965,483,744,168,767,051,467,386,171,957,344,363,350,646,311,
376,517,735,818,949,535,243,044,786,107,680,539,578,024,766,725,331,169,295,
223,410,846,901,250,804,967,511,056,903,598,296,632,112,968,846,777,598,471,
007,056,898,647,616,625,110,568,112,129,165,191,340,195,357,130,245,384,222,
630,884,639,172,008,100,129,032,034,947,322,283,419,079,896,070,165,503,032,
788,805,183,790,792,624,634,413,660,636,778,944,120,749,579,795,978,319,617,
468,079,218,011,405,290,431,359,388,602,552,488,857,992,937,203,538,252,473,
959,551,395,440,758,108,163,551,902,294,559,033,018,980,579,192,957,383,038,
347,065,621,061,569,596,402,959,489,651,108,050,235,619,625,393,187,622,879,
720,332,058,097,360,956,900,621,169,525,843,002,500,564,207,660,038,470,675,
820,745,365,532,996,372,048,317,877,516,308,675,353,889,182,635,267,983,345,
532,282,018,963,292,016,094,064,599,766,032,523,290,430,516,163,907,864,107,
031,117,119,892,746,080,732,130,330,738,446,276,542,986,457,772,910,994,189,
850,278,632,087,770,950,999,230,703,446,863,704,905,128,199,415,229,149,816,
144,423,573,219,150,575,176,807,800,478,285,652,204,091,864,881,684,163,992,
640,315,834,226,153,220,708,980,251,511,059,302,338,067,821,182,639,234,411,
108,486,797,616,799,268,458,362,780,359,116,567,928,890,683,267,674,489,912,
316,334,241,281,601,398,434,675,085,445,845,820,580,664,370,927,251,442,783,
079,413,733,883,409,579,801,292,288,895,466,969,026,037,066,621,092,091,576,
694,446,548,148,126,576,887,783,933,435,665,407,468,073,589,947,065,130,385,
384,374,643,081,963,949,010,453,955,761,446,370,084,567,779,313,099,517,033,
260,630,543,127,308,238,188,619,458,919,892,630,729,424,287,736,732,011,799,
785,919,703,089,597,983,639,924,555,274,012,636,899,066,198,686,863,959,736,
111,366,138,178,612,309,180,647,832,112,187,694,918,819,208,097,733,704,329,
775,753,819,601,787,752,542,129,644,408,248,107,570,782,800,540,177,319,678,
376,848,809,509,005,765,024,242,941,407,042,529,926,189,560,659,683,768,321,
347,437,681,343,613,574,498,381,481,323,791,959,893,964,530,804,148,255,597,
406,895,105,124,591,684,405,072,449,314,538,573,991,455,522,074,512,485,607,
401,699,570,485,842,047,249,672,356,446,861,427,800,248,339,155,856,018,508,
159,476,647,707,889,721,250,564,670,800,758,323,267,570,467,289,483,978,592,
652,203,290,853,155,356,410,578,041,857,813,508,376,907,192,683,063,838,300,
673,990,415,481,659,837,767,098,091,214,933,318,052,693,294,504,482,615,040,
712,098,828,183,094,265,260,361,494,083,097,760,149,801,169,752,632,488,099,
260,684,359,303,327,376,282,246,426,233,591,675,437,779,316,320,025,196,012,
455,568,148,758,392,191,044,977,307,705,003,592,495,305,778,124,985,278,248,
191,905,818,861,413,352,695,298,714,310,638,390,544,181,324,234,814,983,846,
438,465,410,751,571,815,180,188,785,373,675,976,128,721,532,476,859,033,526,
625,436,547,919,650,118,035,857,414,118,534,040,831,739,858,424,448,274,478,
971,933,035,789,656,681,375,875,272,619,838,804,406,309,897,765,491,003,952,
353,101,801,614,877,746,991,865,400,583,332,995,624,305,240,969,588,377,921,
504,722,451,668,697,454,908,461,967,680,474,908,143,082,145,123,172,425,635,
667,759,052,676,239,280,524,018,121,877,326,251,168,150,660,479,056,330,679,
431,916,902,392,228,547,208,990,311,649,164,338,977,949,885,476,713,206,982,
196,066,485,283,519,209,691,503,417,113,027,626,831,546,752,761,253,496,157,
038,218,221,445,215,036,021,381,132,310,207,687,827,921,605,917,192,265,247,
148,456,773,356,013,447,527,183,642,109,418,155,813,726,546,408,575,848,876,
087,516,061,932,296,970,655,698,507,774,203,871,847,809,140,859,956,200,282,
214,061,642,310,176,917,077,563,925,073,858,943,982,294,058,190,174,690,826,
869,216,522,616,010,117,476,781,072,894,784,662,271,887,518,387,804,618,040,
172,312,474,148,696,723,652,284,705,983,873,464,145,319,754,204,399,249,140,
585,694,696,083,982,445,300,019,403,565,186,846,217,365,214,060,986,378,119,
248,941,088,354,776,879,064,004,291,919,694,959,604,822,322,502,498,821,234,
873,613,872,863,001,591,641,495,250,610,816,638,061,419,933,686,287,041,209,
924,238,605,676,548,364,935,440,297,187,432,889,839,254,671,016,187,903,534,
934,601,740,181,090,349,522,286,836,613,599,069,553,696,956,939,980,264,476,
790,933,673,423,541,554,365,481,818,291,219,036,108,041,298,216,297,691,560,
767,819,769,733,977,094,804,371,780,055,812,805,333,290,150,265,343,788,713,
296,392,711,036,585,853,100,377,242,559,610,699,056,423,255,716,983,411,554,
082,861,360,764,503,518,289,876,555,619,022,522,419,653,009,842,138,672,617,
996,644,152,513,882,060,184,207,724,249,077,134,593,521,878,265,779,207,377,
754,986,314,143,123,343,839,619,195,997,880,829,415,022,124,572,724,267,642,
210,592,927,457,139,955,110,432,743,670,195,925,108,314,400,487,850,149,779,
562,363,650,032,351,536,654,395,558,105,353,485,390,002,360,056,590,723,161,
617,570,189,153,950,816,974,151,506,396,218,861,875,793,594,378,932,448,312,
807,133,640,769,719,474,716,415,849,249,787,225,342,008,999,372,268,896,381,
105,310,679,759,476,146,524,834,409,668,594,806,494,999,903,471,474,627,409,
730,959,171,132,641,759,699,616,839,322,343,492,780,998,814,814,016,244,701,
306,918,953,754,415,983,588,857,344,703,977,318,417,376,696,508,536,469,093,
263,303,259,155,491,476,456,205,680,055,981,106,213,602,723,779,548,983,445,
640,111,303,470,677,514,603,467,556,247,615,418,515,741,027,702,431,812,185,
843,853,461,515,588,532,825,106,303,708,353,927,179,506,590,491,901,850,207,
478,923,211,156,900,880,704,181,338,455,602,424,745,326,010,248,948,739,659,
346,431,191,491,879,300,227,321,861,834,492,337,311,636,014,446,325,650,900,
932,494,131,094,234,123,121,676,403,930,128,213,870,464,385,148,814,609,108,
186,365,156,122,895,536,356,001,842,269,716,423,676,215,558,936,701,179,922,
049,814,745,042,368,521,019,493,661,455,932,284,962,218,279,968,874,946,469,
290,111,931,588,321,627,038,309,233,742,557,827,511,659,635,893,249,558,738,
425,172,703,862,865,131,163,260,796,784,560,448,828,685,175,967,968,849,726,
552,326,509,383,282,640,187,276,819,173,663,539,346,682,870,647,531,612,638,
165,705,123,174,528,451,203,987,790,039,010,495,410,486,042,486,049,901,524,
635,922,841,652,485,173,094,200,309,610,644,903,364,666,602,011,849,123,501,
309,374,498,009,716,918,673,081,680,454,916,901,418,756,894,711,741,677,747,
366,722,213,680,610,714,250,534,900,792,848,418,558,440,788,178,529,765,229,
212,817,695,337,271,716,042,340,592,847,004,506,435,001,225,317,904,177,256,
230,938,511,827,466,774,655,506,845,411,482,774,112,709,996,869,644,015,216,
201,483,084,912,870,716,538,631,256,931,649,780,984,549,261,033,791,129,471,
659,801,331,619,959,602,412,975,716,650,190,071,359,256,614,433,472,549,352,
059,020,977,882,228,614,581,116,414,614,623,197,146,897,851,772,371,950,329,
675,007,775,643,816,281,648,941,901,673,123,840,795,858,954,620,511,467,648,
924,833,153,851,251,576,605,944,466,134,543,314,561,646,293,623,976,254,430,
439,731,001,328,522,845,922,419,378,804,635,570,051,001,388,214,027,395,294,
720,972,679,358,885,335,070,305,836,329,822,501,068,353,889,522,423,268,277,
541,470,206,763,024,038,859,287,101,853,451,983,961,803,986,627,928,261,559,
188,878,931,305,161,367,255,781,914,133,730,415,924,957,234,746,974,749,527,
396,418,193,889,569,937,573,822,051,068,267,276,633,322,263,965,415,665,208,
034,143,128,581,529,411,900,789,824,461,990,813,329,191,210,653,123,338,899,
198,623,054,227,195,082,884,535,855,300,795,871,644,102,674,550,020,742,423,
109,634,814,366,151,746,858,223,847,491,720,747,617,158,508,314,758,787,133,
432,968,859,111,772,680,902,674,742,332,223,376,738,817,791,268,395,448,579,
470,086,115,763,526,689,304,488,289,840,870,185,138,989,248,566,954,092,719,
015,092,502,966,687,164,390,777,990,969,641,929,243,409,431,088,441,905,399,
268,702,254,604,601,511,924,319,634,616,553,401,170,379,084,981,636,243,986,
175,227,080,911,790,717,990,979,423,230,440,439,852,237,307,038,328,053,052,
978,394,986,685,430,703,658,915,942,446,809,789,359,426,554,232,965,161,691,
678,167,070,847,210,669,364,853,621,765,863,722,848,165,825,220,671,446,140,
693,799,276,449,595,717,775,730,274,172,086,350,028,695,638,375,367,280,718,
156,153,989,567,386,612,011,523,146,548,914,163,462,096,001,073,101,140,852,
048,110,961,006,408,784,676,705,315,371,870,580,712,811,853,049,003,830,902,
404,522,809,163,287,525,952,186,898,681,252,959,021,957,555,525,261,230,409,
655,410,198,430,867,146,579,451,396,453,792,851,586,297,989,527,885,141,071,
429,838,720,796,244,393,823,389,265,240,325,106,406,487,286,733,498,085,307,
780,943,911,899,306,418,571,309,000,738,181,982,006,555,138,834,483,235,668,
173,857,036,167,475,237,677,317,841,298,818,819,801,249,924,673,329,283,493,
878,395,349,674,849,456,219,601,445,928,275,160,360,190,845,822,237,104,288,
548,965,554,655,079,914,381,190,267,607,969,788,933,021,650,227,176,503,667,
201,912,773,084,812,231,594,684,926,288,989,777,092,784,791,075,447,098,879,
721,928,501,337,396,926,522,460,239,619,905,758,442,451,981,088,127,234,555,
143,494,847,167,172,284,207,798,320,324,093,511,383,829,808,036,897,446,981,
227,201,763,404,787,055,479,781,148,787,556,935,638,537,403,743,412,681,409,
636,123,483,763,659,711,981,237,043,146,223,360,666,691,034,809,097,163,048,
413,579,871,666,340,126,574,201,807,548,555,465,248,415,003,121,142,818,701,
714,654,528,424,218,317,717,522,943,722,402,368,895,404,685,738,572,692,779,
046,877,864,386,790,874,229,516,445,882,453,452,177,376,303,139,407,910,997,
051,930,489,477,947,874,171,713,381,514,778,477,638,309,640,090,338,865,443,
075,820,137,818,923,980,905,498,697,949,596,296,466,091,347,293,422,234,883,
991,152,526,976,980,608,346,722,076,608,639,664,274,487,661,296,395,466,953,
324,042,748,605,082,513,046,714,149,088,064,658,620,836,952,313,151,793,227,
765,411,943,011,129,668,562,004,101,280,281,911,202,719,793,641,331,770,365,
985,242,639,981,624,117,865,162,144,040,845,227,058,187,506,707,224,145,937,
711,009,771,781,281,983,274,744,958,921,076,551,856,208,703,837,702,386,577,
236,424,575,685,439,707,958,880,839,505,655,366,368,117,386,393,290,728,124,
890,872,233,079,453,003,408,425,484,656,718,820,612,704,366,324,365,396,542,
612,115,591,356,180,603,382,585,969,016,155,541,591,744,774,027,272,538,853,
960,321,542,741,411,577,269,880,466,399,794,386,674,568,707,604,605,299,112,
305,755,085,903,641,552,997,932,915,683,513,168,274,232,070,077,370,368,794,
226,977,904,420,183,367,700,571,416,253,103,100,144,165,161,004,701,875,442,
512,000,958,258,203,300,869,976,652,084,943,418,597,986,454,251,363,506,574,
109,520,218,425,464,510,746,412,362,590,256,692,066,355,078,526,520,789,843,
349,705,612,630,574,962,988,985,983,067,836,741,624,837,913,609,678,170,403,
561,777,608,863,987,251,610,799,119,530,838,937,756,095,027,733,263,263,463,
232,993,206,026,288,608,916,385,400,317,153,910,786,481,535,275,347,300,274,
132,538,850,700,428,796,737,513,923,904,724,753,367,574,211,917,847,277,037,
204,305,747,471,238,007,352,079,584,405,082,431,680,249,748,725,715,258,627,
183,430,754,941,606,854,624,432,443,680,994,263,848,083,111,094,960,007,700,
732,564,255,252,878,821,310,801,646,498,290,671,634,773,796,604,791,660,755,
503,364,094,381,182,819,752,904,668,379,298,615,597,647,584,181,443,388,134,
473,173,607,020,251,548,553,306,207,439,063,751,430,934,347,331,867,843,483,
940,613,383,003,722,273,253,395,696,525,032,183,784,378,967,045,421,728,285,
025,955,065,076,540,883,582,696,531,336,582,451,906,857,036,806,343,529,941,
997,528,963,065,175,864,695,449,592,417,198,863,490,242,499,355,476,473,646,
095,283,008,365,763,017,676,698,788,998,788,330,721,032,047,140,595,029,975,
297,839,758,346,744,160,766,332,228,407,532,633,620,599,299,597,515,050,817,
740,763,893,213,984,364,022,139,210,822,291,475,531,768,974,684,450,856,389,
123,421,456,583,865,937,196,376,389,597,796,595,479,394,016,906,773,805,941,
197,409,573,557,768,042,490,620,284,337,014,964,031,427,777,554,701,603,500,
914,718,315,769,174,712,893,734,201,508,445,028,686,228,020,055,524,716,992,
662,615,800,241,674,747,858,288,606,980,699,806,253,860,329,685,545,322,760,
001,100,779,361,433,093,754,798,124,652,693,985,626,490,001,308,317,076,881,
025,775,480,198,141,132,480,259,653,737,204,498,624,650,746,723,662,794,803,
705,903,026,081,067,906,066,814,134,965,705,191,357,119,623,118,115,306,799,
770,626,181,561,633,942,880,542,170,419,223,549,352,921,878,696,317,923,373,
216,859,586,857,675,691,085,346,139,094,217,049,027,250,519,967,231,731,404,
722,641,250,908,462,688,446,950,191,378,697,888,232,279,651,926,095,218,952,
652,166,069,330,764,478,819,506,858,174,792,566,729,659,291,584,005,353,189,
945,999,904,164,818,853,913,534,421,399,661,646,118,905,430,041,677,131,281,
022,430,944,137,092,862,885,526,079,733,601,176,651,042,273,814,800,948,391,
727,879,223,971,392,936,971,832,857,512,008,086,265,236,588,524,259,192,906,
636,769,518,842,466,172,145,255,571,980,901,330,564,760,490,919,097,493,958,
449,989,617,890,394,448,829,245,480,649,981,141,493,164,797,346,128,799,692,
350,814,316,260,404,086,872,798,538,948,743,230,109,173,490,950,771,921,962,
654,649,043,192,436,708,288,397,782,393,111,365,832,204,974,734,539,080,952,
440,387,663,340,323,334,346,958,316,348,865,038,587,495,044,443,762,945,885,
327,614,902,226,327,393,078,515,089,050,776,045,126,467,063,920,693,848,166,
267,581,539,604,425,773,718,757,395,560,621,406,626,235,646,575,704,780,891,
644,596,300,492,279,075,936,462,631,289,823,314,372,628,803,438,558,917,319,
037,900,614,775,307,706,370,436,789,550,985,004,720,510,722,667,717,074,379,
219,274,427,541,861,791,644,184,266,904,736,266,860,973,646,508,233,778,691,
860,364,970,056,483,413,630,892,671,721,712,083,678,326,022,515,919,409,063,
925,190,709,879,382,108,680,660,068,025,046,534,342,900,328,489,691,351,033,
797,960,444,561,294,286,943,997,454,352,367,430,033,936,698,644,287,799,906,
650,592,297,205,322,658,041,191,823,592,166,757,302,348,216,896,583,470,117,
651,031,820,736,764,118,498,433,446,761,358,907,067,151,836,920,413,031,047,
614,983,600,107,515,766,708,137,345,137,983,218,270,500,668,464,981,199,241,
658,119,747,944,866,062,000,329,110,046,215,234,375,361,457,776,453,168,722,
821,220,792,221,008,298,147,383,413,041,962,543,253,621,268,040,564,145,780,
801,951,708,653,418,493,131,172,178,517,776,519,297,574,391,912,529,802,425,
837,975,634,965,675,477,610,520,327,086,638,058,455,548,656,353,793,663,475,
574,120,442,851,909,907,000,607,058,091,182,665,242,995,045,480,464,912,394,
468,665,497,545,231,144,445,251,241,215,957,904,156,066,182,589,619,568,592,
517,603,431,824,319,977,592,158,427,923,614,283,229,527,066,394,668,015,515,
142,961,692,597,971,034,748,487,540,577,663,471,491,273,064,903,167,175,601,
795,654,464,331,963,789,899,425,311,738,236,960,564,393,801,313,210,077,329,
913,556,790,223,740,588,627,319,530,268,025,304,115,053,610,237,977,853,539,
424,143,489,320,945,294,706,756,976,981,338,946,720,221,543,522,051,594,056,
317,729,837,854,620,874,607,371,006,132,655,732,491,557,173,671,886,864,954,
729,774,784,126,789,996,677,202,962,417,162,378,548,702,732,507,667,133,060,
719,047,040,118,095,352,530,771,494,728,337,217,984,530,577,109,113,047,343,
512,441,333,545,774,953,666,643,868,352,175,585,243,648,422,729,377,330,431,
567,689,364,546,037,244,011,709,110,838,842,532,268,906,724,534,799,178,005,
499,030,217,509,099,393,345,509,655,258,502,496,296,527,306,396,505,607,765,
422,920,777,317,801,678,465,337,317,022,337,275,511,200,872,189,209,756,774,
752,962,283,385,451,451,369,221,356,120,148,775,802,014,891,844,794,827,615,
055,902,424,933,677,644,178,069,603,715,282,175,053,087,667,676,268,199,709,
640,175,344,219,252,346,329,987,577,025,026,884,809,352,651,118,925,700,562,
204,086,734,763,454,387,317,610,426,438,384,640,004,712,714,541,327,276,707,
592,517,801,355,631,483,031,031,800,939,865,334,614,893,353,417,174,321,136,
639,026,061,356,601,929,845,493,917,386,620,144,506,265,480,451,353,102,884,
806,134,254,205,416,796,560,830,398,116,155,148,587,216,673,990,252,949,321,
177,914,797,320,680,503,043,033,196,091,842,139,007,177,043,278,576,343,599,
840,313,482,478,571,102,885,954,163,377,284,274,932,842,900,710,349,564,062,
816,942,045,176,500,719,846,251,555,649,329,923,559,561,312,161,047,859,191,
534,760,428,701,394,913,743,987,839,349,533,099,641,950,734,715,945,365,818,
667,882,775,698,097,074,836,616,653,615,645,996,798,964,940,253,643,370,356,
954,367,051,754,252,616,997,605,643,333,122,004,721,821,799,130,188,863,536,
605,734,293,255,328,520,308,071,763,671,841,582,314,861,831,790,797,836,211,
525,850,271,595,621,105,607,322,497,658,079,650,676,749,544,627,641,396,151,
863,728,472,668,435,946,944,535,707,257,583,695,182,652,231,614,627,880,942,
037,011,144,775,207,794,063,432,643,584,263,009,989,668,824,476,196,603,916,
214,961,111,254,958,984,159,825,021,257,202,158,324,092,861,074,945,469,138,
138,261,475,321,325,570,999,426,248,512,454,890,264,695,118,442,893,087,684,
047,035,353,939,428,029,668,454,712,255,711,423,378,781,657,207,738,675,182,
585,863,371,762,558,201,391,429,673,452,400,811,935,000,198,126,727,264,622,
313,892,865,081,107,648,210,039,017,545,855,048,938,163,005,521,484,774,932,
264,502,797,219,454,529,367,968,718,383,319,796,706,381,292,846,792,298,179,
285,732,290,025,912,238,546,371,642,013,959,641,993,999,055,688,688,736,137,
129,667,653,833,638,340,753,003,556,618,693,504,010,826,219,140,101,156,251,
947,431,774,811,154,537,013,189,302,774,088,681,237,903,783,608,955,608,565,
912,685,361,564,686,529,014,711,063,341,492,177,925,787,276,935,205,850,619,
192,225,227,071,023,129,571,933,645,904,721,968,790,185,921,290,837,213,305,
241,157,582,006,690,240,114,440,623,086,096,259,369,175,928,766,524,635,446,
174,345,667,094,582,676,507,189,683,498,707,843,748,989,062,555,089,117,501,
518,950,135,579,219,051,760,758,363,893,955,898,805,453,665,677,550,809,170,
003,964,723,813,019,306,870,976,096,753,126,005,752,253,463,231,399,297,577,
583,650,937,480,860,068,490,284,059,396,162,056,482,554,510,242,547,584,737,
647,174,370,759,797,382,135,780,352,777,527,502,799,743,045,316,923,429,841,
490,748,079,086,540,971,503,286,621,730,597,436,392,206,210,581,550,250,358,
884,670,723,745,481,740,053,971,867,101,592,318,270,204,481,570,741,682,795,
495,658,579,247,874,754,419,356,831,852,949,000,005,195,368,680,692,562,954,
181,180,670,291,556,502,528,721,607,972,023,871,514,873,271,408,352,702,153,
663,447,596,733,858,688,746,684,909,034,347,337,855,439,667,996,757,984,412,
494,126,808,785,115,321,681,794,402,792,630,714,350,141,029,139,658,750,303,
480,136,513,535,841,961,768,151,855,749,009,773,862,107,835,371,583,682,738,
089,828,740,056,799,097,012,799,973,738,867,106,668,261,064,654,596,042,251,
320,616,293,415,522,810,257,238,317,883,428,964,311,932,993,285,778,390,415,
612,102,514,166,006,602,725,955,409,137,598,440,666,782,917,559,320,348,845,
301,482,624,667,930,823,476,553,306,299,423,863,500,818,929,703,290,679,933,
507,212,024,952,248,143,291,561,034,957,661,655,352,816,968,332,233,434,833,
921,744,650,457,960,156,548,798,403,916,058,717,200,013,152,719,807,607,073,
237,542,299,694,899,385,593,945,144,480,221,089,669,732,617,720,928,779,662,
212,301,081,137,154,179,487,727,723,972,671,606,739,619,687,927,163,255,618,
374,014,479,112,390,634,531,299,931,915,626,955,323,145,472,245,274,733,292,
238,017,781,703,231,126,104,535,495,669,980,702,980,060,366,291,978,628,364,
454,857,905,254,905,274,195,827,231,862,304,802,083,918,076,263,105,388,352,
973,194,048,568,772,998,089,471,886,418,332,531,892,897,882,162,142,091,738,
781,413,124,224,553,475,724,355,622,808,575,736,149,259,644,898,104,651,393,
240,069,433,361,240,449,866,085,822,876,239,840,090,296,644,234,476,860,908,
597,676,276,963,051,119,218,370,236,383,833,981,459,288,815,333,950,496,043,
347,418,044,622,627,200,790,625,742,292,548,277,852,100,005,317,117,594,087,
038,164,135,548,969,820,520,118,319,878,445,444,503,064,569,735,765,826,101,
631,331,091,203,563,661,820,529,107,093,648,345,331,544,092,887,529,358,257,
404,355,079,020,195,224,369,213,119,165,835,056,298,963,873,586,940,362,751,
391,871,382,657,546,695,135,012,297,364,762,463,262,292,392,932,827,898,723,
521,549,975,438,244,102,185,224,518,660,284,870,848,692,028,315,327,526,525,
870,094,368,765,119,447,248,579,374,596,025,920,041,407,698,571,215,331,284,
691,953,558,496,469,609,394,827,669,280,814,709,713,107,855,221,548,556,049,
368,867,932,470,234,149,907,874,712,556,691,837,670,695,793,690,296,768,218,
836,108,412,587,938,749,962,453,777,461,685,436,335,202,998,680,169,918,202,
442,377,000,965,363,109,557,152,849,778,827,635,908,923,291,401,301,182,564,
055,384,824,469,912,847,783,555,920,531,085,762,900,944,788,497,025,915,271,
189,029,258,960,896,326,777,619,045,034,240,767,621,591,848,812,786,457,791,
923,325,034,928,386,633,444,691,045,193,400,819,683,766,973,837,155,770,304,
006,848,177,491,884,401,662,516,235,192,344,006,486,156,945,913,279,802,276,
180,658,056,898,295,083,811,688,507,027,348,164,056,519,129,066,637,184,644,
802,223,927,057,749,051,132,998,720,154,625,773,731,974,797,876,234,738,292,
312,634,625,425,334,182,049,142,803,147,098,911,104,021,155,276,466,578,836,
915,048,352,475,738,644,204,626,305,063,797,409,156,841,307,534,846,952,982,
188,277,789,691,504,457,724,318,637,086,161,175,372,294,536,876,187,616,742,
222,331,757,866,494,164,585,276,939,749,082,266,861,916,346,829,295,290,411,
589,267,900,980,735,462,146,375,357,302,878,588,173,971,697,686,676,421,944,
196,430,239,690,933,853,584,755,999,519,120,388,948,453,885,740,207,872,678,
917,520,943,590,425,010,290,172,080,685,532,102,089,336,150,353,228,500,474,
567,662,701,858,581,214,680,855,328,485,638,900,716,244,657,079,466,195,844,
047,324,737,821,032,804,234,579,619,825,777,896,181,688,339,745,631,066,725,
743,040,423,223,182,462,299,298,648,139,182,409,750,479,032,917,474,881,525,
316,782,472,693,653,782,990,918,206,968,385,298,928,531,201,674,399,356,116,
614,124,568,957,290,630,434,325,964,899,259,534,766,013,164,288,859,681,065,
798,487,578,483,006,389,915,976,340,760,727,022,882,540,820,730,098,576,859,
599,932,059,470,647,718,555,372,521,836,084,491,280,242,520,869,631,643,355,
422,602,015,066,994,673,847,019,278,809,485,202,095,574,847,643,598,212,966,
067,283,045,525,461,909,894,307,653,223,984,983,252,737,917,224,412,594,750,
356,779,889,185,936,328,871,133,552,794,737,524,347,672,663,027,625,172,796,
981,244,364,690,309,633,802,079,174,254,567,754,092,462,787,495,653,942,803,
816,402,559,651,135,117,446,183,087,222,544,120,100,043,257,957,772,283,486,
853,788,276,673,981,699,135,218,947,063,661,588,697,637,255,966,811,724,515,
458,703,527,137,290,325,204,517,585,421,111,197,993,997,826,937,691,063,978,
576,334,855,727,029,014,021,814,187,573,510,352,537,896,415,819,591,397,346,
003,002,255,488,002,020,917,769,819,551,430,966,563,379,828,740,750,989,995,
043,247,935,048,826,439,472,639,321,941,708,876,625,327,316,726,381,945,474,
405,343,202,553,543,221,429,333,201,945,394,940,615,803,035,025,686,905,295,
932,840,730,854,643,845,257,603,567,562,786,087,791,176,079,646,964,501,559,
062,539,098,610,074,951,700,154,998,977,999,648,456,109,793,876,510,635,248,
054,817,558,762,136,061,027,799,511,317,250,618,648,462,805,351,038,104,271,
671,939,837,864,261,850,781,431,339,877,397,010,137,597,609,977,494,323,264,
423,355,227,575,434,267,580,495,324,623,937,161,224,512,040,733,775,159,128,
392,201,318,200,223,527,944,833,109,831,698,745,605,905,586,721,142,712,323,
304,067,851,700,078,145,527,557,906,369,569,355,595,814,389,980,344,120,371,
655,686,054,076,027,570,293,650,969,265,405,959,180,596,329,395,754,812,420,
622,996,370,645,990,898,655,194,839,985,768,154,389,740,909,347,280,598,776,
433,884,351,898,887,034,128,866,267,081,655,065,534,976,840,302,529,230,715,
158,541,854,920,487,665,710,862,785,312,561,726,810,302,452,045,467,389,010,
331,060,811,438,645,359,780,182,973,634,726,898,576,950,676,858,850,916,745,
621,882,965,467,548,800,413,618,420,591,153,681,771,693,587,595,425,966,679,
355,871,972,705,355,106,473,077,377,214,083,922,047,017,205,024,620,107,519,
601,337,682,198,776,129,438,917,087,924,328,682,315,923,505,641,464,413,428,
438,404,943,506,950,476,665,347,689,953,468,880,745,560,203,941,833,103,675,
366,390,317,199,839,316,187,819,147,448,452,338,341,992,726,489,158,781,407,
073,391,460,401,374,585,233,132,375,628,100,195,323,531,164,448,682,175,533,
341,552,599,709,400,786,437,707,586,315,995,442,826,464,495,989,555,264,773,
881,945,170,109,878,640,543,158,505,460,397,111,423,319,065,429,347,138,828,
116,589,818,511,177,023,633,768,172,241,824,895,650,826,824,825,119,536,883,
365,465,606,257,771,603,255,194,858,721,421,226,881,963,831,626,001,076,710,
116,929,182,362,420,407,386,560,223,364,919,315,594,099,931,432,026,117,664,
616,182,605,444,331,011,096,121,448,655,733,739,910,293,192,475,211,788,348,
209,778,171,326,095,615,179,365,241,437,053,900,124,835,946,046,478,478,818,
300,218,898,702,915,506,810,911,614,878,162,553,026,308,374,332,322,893,114,
021,742,454,572,044,480,763,457,434,957,727,804,476,577,296,597,965,742,992,
825,596,017,907,728,941,718,760,364,469,791,456,903,273,258,220,483,489,978,
170,003,174,225,994,190,935,080,475,112,779,765,330,444,598,363,476,516,034,
566,914,961,711,315,192,215,322,034,118,964,948,458,603,538,130,943,524,187,
512,760,323,725,271,400,684,614,579,975,384,000,940,515,183,672,068,189,892,
823,336,267,918,504,452,492,000,255,445,576,359,122,583,003,528,015,684,431,
172,826,551,812,045,770,759,967,001,535,625,205,573,805,335,928,088,291,028,
114,364,879,227,906,468,666,051,329,420,870,979,669,587,326,721,499,077,484,
882,192,587,806,435,697,126,816,210,639,430,402,055,685,487,799,575,791,195,
693,498,725,286,074,331,616,437,940,429,015,175,602,374,957,038,651,922,232,
605,355,142,724,996,955,242,544,976,424,496,225,955,212,359,525,615,225,556,
826,051,438,224,100,047,162,450,975,149,659,649,587,558,885,396,549,243,357,
524,686,746,637,317,602,356,559,995,580,204,786,208,323,118,064,017,473,483,
486,881,808,195,548,062,155,232,188,448,853,794,752,440,009,879,678,132,113,
017,696,646,412,214,392,339,610,774,619,910,051,140,311,222,446,507,862,301,
846,077,495,829,795,961,738,864,850,927,432,041,307,917,835,690,938,012,158,
566,403,949,162,790,575,555,988,634,048,207,218,759,079,528,364,694,264,227,
000,024,704,581,444,602,399,271,936,655,758,024,825,215,192,696,635,933,345,
356,451,704,105,971,028,847,414,998,114,382,985,680,369,502,923,782,265,871,
445,408,295,084,620,286,710,126,421,656,288,781,483,359,095,948,542,620,922,
689,373,037,232,044,302,289,671,594,640,735,152,499,441,913,681,170,499,164,
570,842,959,680,387,503,960,743,406,420,079,515,027,445,145,377,374,448,639,
895,170,026,152,950,429,625,657,158,714,829,773,428,390,627,811,002,053,508,
750,454,978,294,864,082,995,770,052,448,317,600,371,190,160,542,030,604,047,
895,558,695,126,789,714,248,735,477,763,707,867,730,840,728,062,815,151,665,
814,266,404,396,163,309,980,484,820,500,950,695,273,987,681,563,279,651,122,
291,279,642,976,822,974,095,248,569,381,108,799,241,119,615,411,032,622,185,
195,245,212,795,798,997,386,928,386,872,722,396,779,943,114,992,593,537,638,
024,308,192,565,480,881,536,904,384,301,889,113,419,769,388,347,983,116,107,
977,790,596,791,426,081,913,355,806,619,187,499,930,450,996,972,710,420,902,
335,276,096,633,497,860,900,507,488,586,216,549,907,415,016,504,394,376,611,
638,117,476,212,153,654,854,025,469,190,195,070,951,239,150,817,761,708,325,
838,321,932,040,128,432,949,419,277,768,696,523,160,613,794,676,915,115,177,
490,640,626,383,665,436,011,734,400,559,487,066,153,398,516,392,756,490,782,
192,430,178,394,269,704,970,189,773,585,599,068,020,461,342,105,052,421,785,
988,052,397,516,257,130,661,731,145,349,321,949,721,254,699,659,584,440,717,
136,270,187,171,518,709,438,358,384,856,221,994,462,161,784,039,350,396,879,
089,216,954,868,406,380,700,447,804,490,754,080,246,129,214,748,146,278,664,
418,524,594,415,372,252,879,848,522,982,206,977,837,192,341,206,181,249,305,
096,173,338,620,426,032,334,019,987,010,536,479,374,977,791,710,022,884,084,
930,398,938,117,144,140,724,230,012,627,644,003,436,334,714,446,929,174,418,
623,982,430,765,237,268,361,295,982,553,036,443,046,549,953,688,897,495,065,
853,854,181,010,991,744,395,951,475,483,840,466,769,713,843,594,131,358,433,
072,653,210,457,929,149,265,368,205,018,852,948,792,765,991,880,074,070,114,
012,242,233,849,535,993,881,692,625,749,289,400,228,369,405,791,641,756,062,
682,701,295,261,924,861,691,865,107,244,395,195,511,255,336,184,775,772,541,
473,351,573,689,110,857,508,936,099,538,979,783,567,004,423,643,278,928,934,
186,287,146,310,388,257,025,643,606,496,823,400,847,102,755,069,669,371,463,
195,851,256,428,295,906,261,026,574,290,762,174,841,973,556,069,289,856,822,
421,058,984,551,346,990,946,806,674,698,145,473,821,054,272,758,943,958,521,
245,116,407,416,935,391,437,808,503,136,833,406,260,201,036,321,170,588,600,
660,923,862,503,690,038,159,732,810,726,860,239,214,228,130,373,478,884,212,
818,171,819,139,238,233,385,288,540,029,951,081,486,242,675,022,672,940,357,
668,262,622,027,412,520,933,479,279,456,430,787,159,096,526,739,389,603,569,
096,076,581,426,337,411,880,310,509,460,348,196,362,496,025,870,484,440,353,
405,142,362,260,650,188,177,541,526,102,257,667,542,930,186,695,856,972,995,
199,972,700,793,160,053,317,643,552,387,361,063,598,687,621,851,388,177,518,
875,922,104,648,772,676,711,151,114,890,903,977,196,362,560,829,489,972,315,
876,379,061,638,720,855,216,706,575,187,089,965,379,892,075,823,686,199,342,
707,743,477,527,874,371,461,923,984,696,349,578,477,170,879,078,854,453,060,
981,617,947,348,061,358,554,459,927,677,125,099,220,160,219,413,329,978,919,
194,217,887,958,740,288,203,403,990,726,864,988,338,081,214,230,541,260,008,
109,013,410,514,536,514,524,877,831,648,323,484,783,873,662,890,573,378,423,
911,385,048,853,466,736,200,064,940,017,791,804,170,940,950,695,623,948,111,
766,023,030,231,238,434,149,259,451,291,047,383,101,068,691,815,879,905,764,
902,626,001,483,796,214,961,336,781,393,703,353,533,386,052,044,213,083,088,
465,290,066,323,117,423,719,431,515,120,930,426,813,372,684,692,661,089,189,
171,493,663,185,628,654,098,708,759,069,707,802,339,995,225,766,746,434,188,
146,005,170,811,797,009,854,976,386,723,705,767,599,673,016,062,600,295,247,
474,757,351,948,598,273,249,412,905,288,812,115,742,383,732,447,009,852,592,
957,953,186,619,281,501,290,037,402,896,810,677,330,267,679,766,071,439,518,
049,278,706,619,691,178,146,039,089,772,065,999,159,288,159,763,299,163,707,
440,037,671,692,712,994,474,539,095,876,640,919,362,996,951,931,845,981,985,
200,643,384,082,794,958,143,171,673,211,876,250,497,579,011,280,445,471,791,
808,381,351,886,483,054,641,777,023,327,407,051,047,822,953,559,730,324,401,
570,334,476,704,961,195,787,790,892,397,371,748,766,584,342,875,248,538,693,
351,715,989,510,792,678,003,073,397,410,788,341,511,550,204,833,222,673,364,
083,733,841,147,475,436,400,421,258,783,567,981,235,374,118,007,362,631,725,
820,732,743,980,776,984,474,670,918,582,528,004,992,962,681,845,480,781,209,
591,640,053,271,465,118,835,221,168,755,689,246,235,627,779,254,840,742,642,
438,632,665,833,849,597,710,226,991,054,941,246,041,654,365,781,551,242,054,
868,990,131,162,768,831,223,636,696,575,185,079,950,135,474,509,036,408,252,
570,184,158,990,408,262,474,651,724,418,486,630,264,862,319,938,021,964,385,
335,781,826,534,611,149,733,869,887,769,748,358,172,885,794,666,074,741,426,
639,477,219,904,393,616,268,859,536,479,798,014,046,036,473,529,060,559,441,
630,102,615,118,671,198,827,519,153,999,920,832,640,777,877,810,268,581,366,
783,738,901,085,199,806,789,659,940,797,152,569,507,504,950,690,438,282,199,
621,733,059,409,227,718,384,845,988,989,202,348,992,632,180,305,731,272,948,
897,577,639,068,890,993,256,921,854,563,025,240,102,614,911,807,691,953,549,
988,372,487,798,651,472,143,598,667,421,053,765,940,614,314,048,299,277,232,
803,727,983,758,103,275,622,176,022,925,246,705,635,791,102,320,959,527,400,
669,425,080,244,351,377,753,577,980,971,847,507,626,524,426,735,778,825,535,
306,774,297,348,863,717,489,312,134,751,345,260,182,693,600,524,501,723,104,
841,576,934,055,151,737,762,867,446,077,239,644,568,239,576,521,922,033,554,
779,218,778,131,162,482,595,129,340,197,077,766,209,267,655,141,039,068,604,
292,336,650,352,039,557,719,130,116,379,198,482,946,145,525,010,905,887,024,
373,376,573,077,770,088,824,519,160,397,071,591,611,075,948,054,192,235,834,
447,770,677,969,906,007,388,823,631,007,746,094,755,061,947,909,156,974,236,
522,871,946,186,754,896,386,120,003,681,544,276,952,738,973,645,743,807,783,
552,376,170,889,048,540,589,347,225,172,556,430,391,997,037,759,382,786,028,
190,100,765,586,109,506,934,928,237,654,690,613,116,642,614,470,645,679,848,
930,126,366,101,266,666,618,026,390,505,788,117,666,814,733,319,240,777,365,
287,362,628,428,093,768,298,644,341,974,601,168,840,675,733,410,421,916,545,
294,914,990,780,471,235,585,217,681,847,217,479,738,632,608,176,635,490,266,
351,950,727,128,140,627,457,166,261,731,403,948,824,230,427,985,524,580,677,
455,799,983,447,816,706,351,351,087,765,884,638,438,970,970,271,459,461,704,
967,497,852,453,697,176,090,719,602,742,886,783,378,264,668,422,777,925,035,
204,168,111,615,780,084,930,392,987,329,095,688,450,706,839,595,551,591,612,
881,346,592,033,058,649,373,231,725,175,332,612,363,165,914,793,112,915,905,
360,293,592,683,768,272,294,402,711,914,717,969,211,547,462,225,729,223,308,
393,360,091,951,041,363,695,594,138,140,633,402,424,618,649,629,977,546,063,
928,269,845,593,860,413,649,135,300,306,158,010,582,481,961,152,649,656,916,
510,443,164,465,507,087,941,010,774,085,773,189,203,883,063,821,369,180,339,
504,705,027,412,421,287,453,896,521,121,785,475,310,355,192,204,488,204,134,
616,665,412,077,993,598,492,236,007,930,692,537,788,465,153,704,800,529,964,
019,036,408,186,835,271,057,904,510,425,396,632,343,238,504,834,654,973,155,
190,738,621,235,706,041,706,224,194,735,836,930,956,175,937,243,401,810,296,
880,167,584,238,947,036,179,583,085,265,115,815,040,748,008,962,616,429,381,
108,321,934,763,746,026,095,336,926,737,278,525,568,876,477,294,836,552,303,
925,242,796,358,135,035,240,739,226,085,173,385,362,361,504,571,236,290,543,
733,552,690,752,591,886,270,880,165,081,585,054,663,963,399,235,667,816,840,
607,923,452,414,822,956,605,096,157,911,109,551,104,440,928,330,236,082,518,
661,798,352,484,458,804,676,004,427,083,694,906,640,198,259,552,529,514,870,
640,316,079,128,179,639,031,994,137,121,826,135,328,153,989,752,888,170,005,
154,626,118,276,196,200,551,476,172,936,071,771,501,735,557,378,073,489,702,
754,438,671,201,011,634,509,894,300,524,502,737,037,597,165,463,699,314,599,
525,631,674,757,215,167,297,417,546,812,458,872,789,346,524,031,039,106,866,
806,428,612,273,210,183,032,239,368,136,389,954,314,981,971,091,249,609,414,
679,472,016,697,575,307,123,383,018,172,340,391,178,497,080,134,017,926,912,
662,899,119,697,850,869,953,456,218,004,260,233,821,539,723,919,562,631,011,
977,596,305,222,979,161,380,266,351,046,410,122,311,849,163,980,271,361,026,
869,900,674,751,233,006,776,745,833,211,509,227,605,226,413,490,932,948,772,
321,496,217,157,140,846,001,417,549,455,592,982,068,358,109,061,149,853,607,
837,453,870,342,187,388,667,607,492,961,764,455,037,598,186,394,314,088,689,
860,551,447,671,529,704,865,552,104,899,803,154,380,002,026,197,485,221,487,
308,786,138,610,753,483,606,562,356,932,378,593,422,636,253,737,055,080,812,
775,722,157,751,866,647,150,157,907,855,818,000,929,634,598,019,177,828,646,
033,623,652,088,427,659,292,667,889,212,318,455,738,502,959,495,134,486,304,
435,636,888,424,446,543,424,924,854,097,808,487,302,057,411,944,880,606,741,
354,840,224,455,960,907,890,499,944,962,356,549,783,441,851,479,433,557,373,
103,622,373,865,929,954,023,852,341,865,506,970,803,139,168,794,075,497,526,
466,709,063,812,170,527,614,184,861,907,767,415,538,523,524,077,836,636,138,
499,015,069,605,441,329,764,145,187,031,891,399,787,621,384,854,758,096,911,
530,102,347,086,323,887,073,202,700,212,957,391,875,741,765,384,819,266,231,
115,838,051,117,558,191,057,171,786,680,668,293,550,496,003,990,253,635,464,
519,507,372,792,630,868,808,955,844,377,311,597,395,918,295,118,837,615,039,
034,129,970,655,280,480,259,388,233,527,130,257,159,880,332,787,885,763,718,
737,791,730,896,965,579,562,121,700,892,819,445,509,396,297,734,107,159,559,
708,943,732,349,988,829,515,191,264,607,833,425,888,823,981,105,094,300,413,
256,734,074,657,968,177,799,086,894,090,832,848,906,786,545,535,242,746,021,
030,002,525,459,409,640,101,640,580,231,131,850,625,304,505,171,797,023,576,
019,326,629,856,374,244,293,495,476,156,005,054,641,205,368,013,948,085,544,
965,321,025,117,658,139,678,370,094,956,266,309,215,336,506,182,405,148,568,
256,430,861,741,703,946,011,409,664,213,173,069,029,455,999,952,759,389,832,
642,091,341,809,270,396,843,902,110,336,081,916,382,515,065,818,095,478,834,
556,296,543,529,746,643,767,027,637,578,244,396,522,077,367,870,758,942,043,
792,111,293,701,887,116,079,405,846,130,414,833,588,482,240,456,646,766,479,
925,959,609,128,721,352,558,768,476,216,114,631,445,624,889,313,493,795,923,
531,347,995,544,062,126,924,180,501,062,299,932,296,012,825,681,986,625,025,
901,044,478,350,968,700,274,186,647,100,426,815,880,390,067,859,411,038,668,
758,371,873,051,614,693,192,902,643,672,181,243,928,578,670,311,636,091,267,
783,477,744,232,216,710,262,344,210,182,690,083,563,414,227,863,836,112,657,
183,256,303,335,369,316,645,672,354,156,092,412,699,558,549,404,805,248,574,
556,840,180,821,822,217,934,943,328,905,617,157,553,104,152,935,315,666,149,
844,828,951,533,994,546,761,172,164,503,051,240,581,585,570,035,143,877,200,
730,185,338,721,461,382,240,866,862,716,159,002,545,490,392,826,804,488,431,
942,719,130,016,504,193,735,115,498,961,365,654,942,629,805,311,359,479,491,
673,918,505,612,605,580,951,907,953,656,456,137,675,658,273,110,913,782,438,
588,723,370,352,959,178,632,140,379,247,804,578,934,018,311,863,691,438,291,
479,601,113,124,103,951,344,997,527,197,842,566,699,184,232,052,525,553,885,
200,629,191,591,241,378,252,311,702,869,936,340,811,066,746,824,098,744,125,
449,220,390,322,766,124,735,847,639,426,473,887,001,652,549,618,532,985,373,
434,049,128,233,881,121,329,076,774,608,841,600,841,065,094,082,107,653,585,
815,918,824,518,311,651,047,385,593,656,431,502,048,621,286,673,415,816,270,
210,794,974,644,317,715,801,127,068,890,452,839,662,395,257,872,068,074,796,
891,848,516,492,564,665,372,552,695,902,885,221,168,667,112,063,326,923,908,
356,037,424,169,703,513,974,373,975,607,383,454,436,113,267,578,197,848,338,
790,962,899,950,007,887,690,709,563,712,144,672,103,227,037,962,248,062,660,
523,716,069,053,624,744,205,923,298,735,722,753,981,601,581,147,941,125,876,
989,911,618,959,008,047,754,898,680,234,667,850,348,411,894,854,206,942,454,
220,613,386,617,117,515,592,667,427,209,223,711,546,201,726,851,682,803,307,
047,735,035,458,891,081,647,558,000,687,866,979,048,262,679,443,970,934,504,
653,801,177,544,305,054,492,940,199,802,612,214,819,048,879,013,009,006,458,
178,279,842,647,483,783,504,240,630,025,569,739,633,216,382,596,099,525,022,
459,442,761,045,466,259,139,424,145,494,954,366,855,853,199,411,172,918,877,
236,417,367,243,443,768,238,391,462,046,346,983,217,347,371,862,845,266,510,
081,581,721,955,902,207,381,842,862,458,491,360,554,585,167,534,450,193,564,
133,577,192,728,778,694,738,907,523,301,262,031,971,149,470,218,522,737,520,
248,119,622,464,139,000,438,509,501,513,868,446,290,814,257,233,087,653,262,
725,482,022,567,694,785,998,548,934,486,615,344,589,255,012,081,986,395,559,
699,282,818,344,078,620,485,822,675,285,513,290,283,298,965,179,310,787,620,
321,046,793,196,397,335,922,164,758,268,159,005,722,860,025,952,511,451,115,
104,062,055,198,381,246,953,609,221,575,920,380,676,865,976,109,552,196,952,
843,261,746,645,661,763,318,087,433,970,918,803,764,418,189,866,741,327,202,
274,303,662,510,828,895,231,966,429,340,300,174,415,685,825,408,161,696,037,
845,895,698,156,939,132,614,480,894,028,592,485,457,100,881,179,934,660,243,
402,740,890,249,430,157,701,823,359,314,189,993,449,485,394,490,255,520,143,
067,607,405,083,017,040,984,635,777,970,064,774,896,827,395,170,696,541,259,
970,927,218,509,220,535,267,681,104,842,465,489,831,708,229,234,120,813,790,
634,330,763,898,090,253,911,043,566,450,680,851,408,546,275,500,839,119,057,
035,880,926,944,173,226,388,977,007,025,489,012,403,168,971,261,129,321,713,
305,714,531,964,409,824,516,335,599,950,149,444,424,328,366,783,529,134,622,
345,958,834,170,544,994,468,376,599,831,819,815,214,036,527,013,195,868,844,
036,015,238,215,654,169,407,183,705,507,556,375,225,946,424,100,504,885,534,
877,411,391,826,103,285,221,572,323,761,867,700,529,443,835,648,863,703,486,
788,501,485,073,188,006,479,366,851,092,577,245,939,213,088,300,236,708,863,
311,007,891,120,313,173,534,353,755,669,850,407,892,773,637,408,092,730,991,
309,706,901,273,423,151,337,075,982,034,526,636,710,772,605,684,994,347,673,
460,622,264,861,983,240,267,720,247,094,743,978,649,248,514,416,922,829,229,
400,429,379,063,153,317,727,252,933,884,837,937,768,506,174,710,205,511,307,
505,039,266,214,403,871,828,138,650,501,136,838,285,483,373,692,290,299,226,
989,949,026,778,987,570,951,450,453,834,206,272,363,538,918,968,518,310,880,
275,830,303,712,583,975,504,861,196,782,321,228,132,878,609,139,534,542,935,
709,021,778,066,343,495,290,598,145,478,222,407,832,128,039,449,247,448,617,
587,224,070,480,719,489,976,695,183,667,403,833,808,513,778,084,499,661,349,
538,694,981,940,267,400,991,090,520,716,496,809,445,084,777,891,749,530,000,
538,353,131,391,065,129,645,379,266,980,457,221,161,237,491,554,052,929,889,
209,700,989,593,886,876,370,177,376,125,680,621,096,321,066,569,664,681,334,
114,420,775,720,875,025,833,916,323,817,383,807,987,717,729,934,938,235,924,
479,763,923,121,523,004,029,625,934,240,569,630,617,955,196,982,267,635,084,
724,551,450,412,768,205,145,254,480,671,937,442,497,044,230,783,566,894,649,
361,332,644,558,151,221,228,757,261,490,553,677,689,484,354,559,294,374,597,
670,523,016,106,122,752,433,392,072,779,873,176,884,606,800,827,816,768,424,
752,721,539,062,677,182,854,537,365,022,378,713,518,980,287,714,713,585,227,
300,336,091,134,631,981,772,522,656,209,367,008,531,617,843,629,117,319,872,
741,917,854,980,234,062,335,017,562,241,424,506,766,020,361,564,767,106,810,
452,313,279,677,188,650,448,072,027,196,576,387,459,067,441,777,222,556,837,
645,159,259,224,010,466,232,501,352,422,742,910,353,460,586,681,293,976,998,
382,168,510,901,043,019,275,920,814,955,230,482,751,040,801,417,457,400,023,
382,520,221,414,848,834,101,655,028,688,743,071,114,556,580,268,836,486,012,
210,192,282,019,903,072,858,890,655,050,572,607,062,181,437,377,416,770,837,
703,422,621,588,526,730,357,724,328,368,100,600,766,320,197,006,561,046,710,
770,869,456,165,411,833,537,898,029,076,066,557,362,431,375,596,147,255,777,
904,584,424,352,374,956,650,286,334,053,882,511,965,969,465,486,845,372,207,
244,716,084,924,013,258,222,408,859,310,126,508,636,076,187,447,217,197,009,
581,116,905,968,622,072,824,827,216,198,006,432,485,475,590,234,805,980,828,
408,600,702,784,412,287,262,767,303,786,986,640,550,918,411,884,813,276,237,
479,708,921,046,826,369,555,282,382,588,817,586,553,846,593,688,239,234,281,
766,983,841,977,753,821,840,750,768,715,595,658,953,066,013,125,551,722,950,
161,748,729,490,493,959,098,442,747,178,302,177,173,428,148,771,189,790,595,
855,575,024,206,661,705,223,560,684,161,418,345,638,476,110,947,129,781,345,
568,693,107,462,932,088,279,895,017,018,743,455,976,509,460,508,908,498,361,
271,412,524,516,745,015,768,394,840,277,879,390,211,268,564,329,345,560,206,
586,291,827,758,771,174,628,792,638,621,360,186,645,599,186,691,359,007,772,
254,325,964,865,555,635,517,206,907,952,184,124,624,069,328,587,439,087,234,
933,958,945,403,120,911,109,286,375,685,490,199,205,133,002,533,960,596,087,
180,448,901,298,134,893,349,907,883,700,789,129,749,647,466,506,831,161,405,
999,643,444,327,044,625,101,863,576,080,667,737,972,095,214,406,251,711,514,
567,179,682,525,970,356,801,998,236,570,506,922,534,405,848,018,478,434,474,
007,001,193,239,879,628,463,718,185,930,595,825,919,990,729,208,043,971,641,
744,656,259,181,317,534,316,560,887,490,121,221,831,683,357,733,961,314,764,
657,560,613,187,015,627,569,029,228,250,213,937,547,685,461,349,252,308,263,
628,027,807,387,179,899,289,453,604,384,615,782,773,736,682,245,457,895,939,
939,694,064,968,041,528,275,136,408,709,675,345,116,279,190,015,400,254,611,
342,439,129,021,766,687,178,556,801,434,804,956,465,938,410,251,941,024,686,
141,583,389,363,970,116,531,409,303,794,059,932,336,417,436,203,168,538,041,
204,420,555,992,171,863,222,457,020,090,740,588,103,344,581,928,794,343,894,
358,971,181,942,174,689,441,017,660,472,228,668,429,679,324,595,403,225,331,
140,417,256,165,911,965,165,965,848,530,240,491,293,116,096,411,618,464,430,
035,514,915,484,201,290,042,685,074,538,001,648,785,713,520,990,355,458,747,
079,910,235,210,436,449,723,903,139,485,070,598,867,441,251,388,202,899,504,
166,302,365,483,896,853,926,797,710,736,781,244,805,316,471,084,821,992,252,
039,185,842,720,621,622,334,909,870,244,953,850,041,714,321,294,525,218,214,
257,619,377,477,575,202,394,951,754,341,135,246,464,606,176,556,928,128,033,
724,673,450,420,218,563,833,209,416,684,817,569,291,915,775,791,103,644,472,
439,179,860,557,446,748,983,867,129,379,008,432,954,282,949,868,246,140,883,
814,292,838,842,159,995,963,715,632,825,296,594,186,751,872,524,491,936,810,
398,996,343,676,816,309,108,213,517,482,099,281,032,332,172,629,771,429,788,
780,558,508,739,914,975,348,318,215,406,834,247,749,562,021,242,020,450,676,
631,409,389,914,738,772,732,040,642,307,933,150,844,120,317,465,462,592,156,
969,727,332,184,526,953,281,228,321,786,680,557,749,029,962,539,613,111,798,
802,555,977,400,786,151,855,648,066,371,384,791,808,696,801,021,367,598,945,
530,991,644,649,479,449,294,888,362,150,548,974,678,933,245,075,044,293,282,
721,233,527,920,449,550,895,805,961,249,376,019,421,592,268,842,447,775,368,
548,131,555,788,638,609,981,492,210,746,950,519,857,765,566,409,444,922,787,
605,253,656,707,409,013,609,919,043,578,335,274,807,409,860,887,509,500,123,
177,508,434,602,981,232,036,609,401,157,845,780,538,734,716,673,407,360,844,
834,009,604,237,116,183,570,963,975,684,361,858,075,500,834,922,495,795,641,
759,669,642,241,078,426,493,676,558,680,568,244,996,852,762,298,112,320,377,
272,801,177,708,966,305,104,447,049,246,590,833,719,323,876,335,501,759,795,
856,978,795,605,458,002,589,404,148,818,022,224,737,724,283,826,893,238,138,
577,944,488,625,768,875,642,853,435,547,086,970,041,971,515,032,551,193,657,
449,955,857,359,063,824,475,079,329,508,622,705,618,949,274,274,840,858,619,
167,343,205,931,476,398,972,372,686,926,877,787,058,407,237,126,624,953,918,
218,959,695,687,485,167,860,278,936,945,010,795,322,568,147,884,900,985,146,
819,023,228,414,418,004,242,630,373,008,213,918,752,862,190,987,455,188,189,
253,385,271,561,817,556,331,229,231,315,960,794,197,771,929,515,045,761,145,
521,507,198,158,414,971,989,773,789,811,400,160,773,502,390,764,963,813,516,
199,545,374,602,645,471,621,259,762,315,141,755,060,914,949,262,276,437,563,
847,049,815,874,923,370,608,109,859,596,796,369,681,894,612,312,463,716,333,
854,416,562,388,629,491,379,728,669,066,725,593,611,146,617,181,460,018,176,
685,045,096,069,927,545,051,239,943,894,891,947,996,793,415,913,903,753,527,
249,197,254,790,201,540,012,565,752,640,758,553,456,612,549,420,297,613,775,
791,006,541,641,535,820,457,541,882,451,885,305,726,894,445,564,366,156,261,
273,576,736,708,297,675,046,449,617,000,994,748,066,970,916,053,414,298,372,
674,403,044,337,668,103,860,877,769,762,141,271,208,954,075,686,016,928,601,
356,567,540,948,031,791,251,418,221,988,060,378,647,339,003,518,791,275,812,
987,510,941,387,459,786,351,420,679,204,444,337,655,076,318,370,115,866,425,
072,009,080,877,133,186,106,281,787,924,198,708,463,050,290,435,355,831,323,
619,174,191,573,230,013,578,428,558,023,141,656,462,283,959,865,576,041,263,
495,138,537,465,603,458,604,635,420,085,990,398,434,730,227,087,712,924,394,
114,028,334,616,469,553,526,870,207,485,854,588,655,679,650,378,872,909,669,
662,003,933,824,063,386,330,944,405,910,460,739,063,855,991,752,974,002,783,
178,703,951,404,854,447,667,883,107,440,022,683,885,413,903,671,299,657,234,
363,933,418,935,337,374,710,248,696,279,754,454,656,555,391,282,443,984,742,
063,511,233,078,516,145,918,959,546,556,826,343,720,311,280,902,558,729,336,
057,036,159,963,426,521,130,095,765,360,248,558,924,622,886,318,915,741,967,
377,136,184,282,901,477,800,503,185,088,010,526,570,906,741,203,882,867,966,
297,206,234,605,062,168,291,902,531,024,355,805,395,373,382,450,738,468,940,
051,650,908,287,176,480,437,428,678,338,890,166,532,784,452,339,659,814,031,
367,108,726,824,425,773,939,861,165,246,788,271,052,899,584,805,510,795,050,
619,715,487,222,047,199,940,124,917,213,259,073,854,963,633,091,325,064,457,
815,332,679,803,678,880,433,406,597,336,389,265,220,297,774,845,376,860,497,
830,174,627,308,504,340,813,058,771,059,173,056,082,940,436,658,687,010,071,
086,430,588,392,067,684,755,959,437,391,132,128,625,306,824,464,687,855,870,
089,959,762,533,220,589,255,910,199,174,868,565,650,059,696,433,051,698,065,
219,506,445,058,650,355,148,897,237,279,676,503,009,805,816,194,897,172,352,
413,895,526,769,198,744,049,765,027,342,278,057,960,171,969,644,400,518,390,
688,017,126,511,738,076,873,601,558,678,747,235,865,017,501,000,387,156,583,
914,824,124,481,899,123,185,184,282,555,674,134,828,226,802,933,858,078,368,
148,336,839,988,471,499,372,541,229,418,247,377,217,887,174,394,505,908,853,
533,659,705,185,834,447,736,726,813,131,974,813,382,632,300,700,386,217,007,
302,602,097,445,330,769,793,787,000,449,415,548,726,054,209,879,999,985,316,
393,105,062,278,425,318,001,605,412,325,870,932,010,659,442,583,634,650,983,
492,886,587,421,890,326,561,049,640,847,193,608,268,462,454,995,693,633,998,
657,997,578,159,943,982,612,015,320,914,020,074,965,810,253,144,665,418,915,
354,219,473,310,581,143,070,675,574,218,824,281,015,081,903,809,343,522,350,
848,892,532,448,287,824,018,156,115,007,328,314,915,800,423,945,880,685,084,
656,554,981,220,209,826,228,421,938,507,618,169,891,159,435,721,310,634,108,
400,713,203,455,652,645,363,076,544,486,890,977,185,552,140,060,903,037,336,
893,206,979,089,900,807,294,540,163,611,775,200,970,013,609,469,910,330,292,
385,999,070,991,544,364,672,077,912,249,897,881,587,921,303,772,269,676,434,
674,061,381,139,687,388,910,247,449,966,443,134,109,118,037,384,564,382,095,
345,500,251,690,269,499,613,143,927,601,592,185,777,525,131,895,854,995,799,
712,458,862,427,015,447,805,577,354,342,191,779,886,300,457,660,788,244,572,
342,634,876,999,982,178,881,232,388,016,409,155,729,320,062,325,847,005,610,
846,971,029,405,069,509,943,188,964,601,683,161,157,070,329,508,912,009,384,
121,608,830,055,682,278,765,786,221,009,622,923,241,188,004,831,342,062,567,
734,895,759,064,790,607,435,065,560,975,198,560,388,045,517,072,751,889,614,
165,343,284,212,027,937,665,371,512,692,312,812,896,203,991,634,512,567,699,
947,456,327,987,287,585,968,835,363,052,826,224,484,714,381,168,716,028,688,
953,909,703,972,432,964,777,213,790,368,900,917,027,203,438,850,897,831,397,
926,275,791,575,352,452,289,521,125,648,228,070,395,107,337,427,851,271,989,
559,307,833,503,918,339,926,719,328,949,516,758,534,816,272,599,466,103,985,
521,277,677,265,526,104,013,266,201,224,547,752,801,793,755,370,164,920,180,
210,781,647,503,786,123,351,001,539,609,761,628,459,507,683,830,632,383,729,
070,582,689,193,907,202,544,904,349,807,771,945,089,058,942,670,632,525,478,
788,608,298,667,140,012,819,932,854,613,519,989,282,913,609,979,047,086,697,
404,840,410,567,354,951,047,980,162,698,336,917,017,493,409,266,884,684,164,
266,410,782,037,126,634,457,684,174,043,072,280,433,074,174,868,315,466,313,
934,788,026,113,639,283,929,243,206,044,943,930,537,908,483,813,252,459,323,
030,022,684,931,933,639,884,175,386,570,766,808,084,764,734,281,129,649,821,
182,917,837,652,808,401,667,211,383,514,398,722,559,295,162,494,446,536,615,
626,867,161,009,507,307,483,440,163,923,513,190,503,687,208,567,326,518,965,
837,928,537,480,204,649,336,336,138,861,931,796,562,004,413,832,761,460,593,
233,694,461,718,743,151,442,716,793,929,796,104,611,135,572,490,791,553,839,
822,365,158,414,562,947,373,309,898,369,710,127,867,323,011,806,237,252,115,
547,248,274,286,168,536,248,102,900,554,547,024,108,086,193,088,020,381,392,
162,839,893,317,209,755,819,026,963,956,266,504,267,045,230,178,755,044,080,
977,393,702,242,982,673,271,610,948,194,125,029,217,899,283,904,483,549,015,
411,414,305,890,167,125,896,828,773,593,519,908,722,845,083,090,998,268,316,
278,793,853,623,926,169,587,042,906,223,635,243,870,752,275,275,691,203,671,
455,235,827,165,345,242,951,862,325,798,018,057,674,852,264,844,729,081,752,
467,667,847,229,096,863,222,795,665,039,785,366,451,170,508,076,104,294,029,
557,509,854,208,487,157,740,107,232,674,275,478,689,933,016,609,555,003,761,
683,465,022,434,568,783,734,684,676,600,789,306,565,532,310,583,159,406,729,
294,095,710,853,701,055,527,416,338,857,528,441,463,685,368,425,539,694,201,
603,562,479,621,774,636,778,064,329,634,249,451,829,401,990,380,689,020,568,
160,509,221,090,292,082,885,884,146,348,869,525,033,958,413,853,719,747,288,
836,247,999,978,311,045,994,740,423,801,366,717,468,402,866,023,395,263,505,
932,818,379,283,134,504,677,101,037,075,975,798,067,755,567,042,589,524,983,
124,757,001,891,137,947,616,703,848,379,019,424,959,293,703,383,973,918,156,
769,734,886,098,315,406,940,015,386,830,585,263,176,710,553,938,923,146,769,
460,212,566,321,925,364,381,974,039,813,964,495,587,634,337,382,989,748,617,
908,848,647,652,797,231,992,366,762,169,284,878,325,727,567,914,390,517,105,
770,224,263,054,674,351,763,895,271,543,728,289,294,478,979,732,230,927,628,
129,563,712,633,647,240,317,929,962,686,997,047,734,170,972,689,403,114,558,
552,083,574,832,829,658,574,762,071,019,429,375,358,772,387,073,390,518,741,
376,037,858,262,375,062,366,335,549,319,265,751,796,687,327,751,782,514,864,
306,989,384,637,146,674,026,287,483,216,683,741,246,234,552,604,970,204,411,
190,273,736,739,845,406,452,739,395,470,011,046,729,692,556,228,415,581,977,
998,477,782,889,524,225,527,755,916,503,264,436,781,066,234,577,658,567,480,
807,977,214,269,237,562,094,002,435,877,828,975,223,208,547,355,474,602,601,
049,681,540,973,013,245,346,653,160,719,982,114,142,920,603,171,149,359,740,
006,989,147,983,071,278,139,249,128,159,053,250,309,380,559,325,690,753,220,
758,732,878,521,029,552,823,727,008,725,379,580,726,448,864,607,138,483,063,
703,094,085,053,375,720,382,176,720,340,716,471,591,446,339,465,161,635,957,
558,417,546,588,461,698,672,960,471,835,676,116,141,879,035,990,736,176,549,
374,912,813,543,366,004,533,480,139,868,492,303,956,738,562,453,231,924,594,
940,996,296,887,720,101,782,673,364,342,175,577,729,083,595,674,692,769,894,
368,350,129,953,069,549,039,586,870,888,798,144,645,869,999,056,342,174,775,
404,203,897,098,255,650,470,655,856,444,745,485,659,518,689,494,477,738,339,
159,727,396,424,620,934,713,862,737,427,596,710,572,129,582,377,067,450,909,
641,188,481,859,477,971,195,093,583,387,280,921,650,543,603,247,171,120,785,
705,092,057,175,604,818,870,729,340,923,181,125,376,007,864,025,334,366,839,
720,324,370,956,212,430,647,045,633,734,687,107,873,787,791,916,510,343,041,
162,637,673,188,308,448,699,930,236,356,412,659,160,088,552,436,776,279,193,
757,912,671,034,731,067,098,681,172,870,551,316,457,449,320,267,857,786,792,
182,828,287,427,450,817,714,615,324,473,098,050,880,107,759,278,993,532,154,
147,459,382,727,735,429,685,354,566,047,026,787,452,563,499,125,890,762,571,
809,647,601,199,715,867,617,232,984,135,081,656,315,548,920,699,922,692,014,
990,086,165,717,275,720,468,950,583,010,072,421,807,568,503,239,882,838,319,
299,871,225,595,483,161,470,442,394,335,873,312,473,560,434,526,508,229,747,
529,486,372,677,306,195,188,335,988,329,245,291,270,493,333,929,849,696,510,
616,173,658,096,869,869,215,515,202,314,489,888,087,096,404,072,576,113,329,
335,143,658,846,440,819,680,570,753,845,432,590,929,527,649,486,416,804,154,
741,189,450,143,286,825,203,918,316,577,025,619,488,731,499,186,788,470,249,
421,795,434,518,210,477,819,650,359,657,602,856,240,382,708,678,453,534,300,
394,037,749,684,614,143,365,638,941,811,606,698,527,214,437,939,337,872,919,
957,468,780,017,253,439,026,617,762,728,140,952,115,490,535,263,014,244,886,
611,301,927,524,425,973,791,196,086,261,689,057,499,844,742,042,122,894,152,
103,301,319,722,663,028,422,601,115,759,197,700,222,417,446,604,623,468,840,
741,441,914,642,940,196,350,811,562,276,958,017,224,987,079,501,566,669,053,
332,950,040,746,120,224,279,218,059,662,355,305,354,317,987,614,711,211,284,
583,937,680,951,067,765,446,689,370,838,554,341,946,264,595,417,424,683,898,
940,752,843,703,670,775,917,910,778,046,607,613,880,423,797,903,416,539,261,
280,804,121,728,860,502,466,052,082,725,554,366,341,393,267,343,857,605,770,
868,544,366,437,064,026,910,990,246,360,942,399,999,903,584,537,129,854,801,
526,913,652,591,386,107,018,019,563,055,716,515,763,069,972,570,165,305,541,
081,007,851,828,833,640,919,036,041,271,978,925,039,850,162,500,273,693,913,
929,479,670,760,501,030,756,354,872,084,781,858,623,454,923,289,822,970,399,
840,743,293,907,725,099,805,091,180,294,349,781,188,945,066,851,948,377,783,
221,664,752,558,493,273,775,548,266,355,008,886,550,627,536,312,946,523,308,
318,421,320,481,962,308,350,353,409,179,150,327,708,674,593,859,359,610,063,
674,617,365,222,626,715,601,633,196,547,401,315,713,194,681,842,622,997,876,
189,949,191,950,791,342,184,623,571,977,084,338,627,972,647,491,631,278,500,
986,705,585,005,982,783,854,244,977,926,546,041,868,512,761,596,405,401,277,
343,971,069,330,473,935,335,209,046,174,775,548,385,708,150,556,547,954,659,
890,024,645,619,065,234,491,681,306,434,784,833,130,383,852,465,120,232,506,
036,671,690,221,393,974,681,943,243,635,894,268,476,156,202,020,989,714,693,
979,485,533,756,024,326,028,947,837,259,791,576,156,962,006,123,303,562,917,
493,761,927,151,371,321,013,219,468,333,653,975,458,059,781,579,122,471,467,
162,559,459,988,979,474,196,774,841,135,836,168,950,873,823,416,855,467,980,
756,887,686,454,538,797,051,741,984,928,574,543,106,324,916,011,406,304,415,
238,245,195,281,253,061,233,828,973,697,496,674,903,991,044,424,226,756,721,
111,033,394,317,603,168,489,869,464,025,735,925,477,064,712,625,742,240,856,
403,963,733,992,753,649,737,017,012,674,187,015,879,571,966,220,220,784,375,
691,223,286,178,159,101,105,983,452,796,621,919,816,163,758,581,205,251,034,
323,217,286,579,572,457,712,171,159,688,189,815,670,080,551,438,906,196,309,
155,533,284,217,058,220,095,534,169,502,040,024,650,525,587,742,318,539,108,
574,554,055,910,404,741,381,253,950,270,335,997,213,287,417,894,675,636,197,
021,308,891,347,402,054,928,423,051,038,424,277,312,124,270,053,046,081,377,
719,155,039,467,032,861,082,693,103,659,852,087,476,154,178,753,985,785,591,
474,446,445,525,165,505,789,390,642,946,541,984,569,749,797,810,430,328,444,
323,918,766,657,313,397,644,404,392,030,964,570,813,385,753,437,255,645,210,
123,348,249,060,007,545,105,009,162,722,663,999,372,347,717,346,473,892,345,
932,753,618,170,616,488,613,722,581,143,647,665,267,258,148,501,071,190,280,
538,377,268,446,263,154,368,097,717,777,484,288,151,891,372,842,697,556,647,
172,203,368,511,085,908,814,636,974,477,609,588,680,339,043,192,674,564,477,
128,074,455,185,410,007,000,633,010,930,630,795,836,845,658,864,757,084,572,
211,673,050,566,317,348,502,727,119,006,391,907,651,744,427,424,054,462,050,
532,938,377,699,213,958,929,247,670,074,881,676,328,963,764,715,971,600,683,
029,467,723,302,798,283,578,151,946,410,837,522,189,433,670,207,469,312,285,
847,607,510,959,408,465,644,911,334,452,103,939,794,588,341,177,495,648,407,
824,387,580,838,139,277,947,271,628,926,455,949,487,911,937,422,410,425,915,
811,110,812,765,332,107,737,275,326,018,640,890,725,840,241,222,463,929,458,
723,657,823,658,053,893,283,412,301,357,581,996,631,395,394,534,535,388,243,
465,239,186,049,897,590,514,089,023,735,582,651,119,925,118,142,958,770,371,
222,016,181,282,364,327,504,636,918,055,122,578,205,745,725,217,304,530,808,
639,652,834,191,179,702,440,551,244,618,338,195,011,976,353,910,040,807,313,
889,351,136,366,964,209,090,612,977,402,343,406,548,188,856,984,748,193,912,
836,377,450,434,138,452,486,564,454,482,407,542,056,101,024,240,588,430,778,
128,047,802,746,218,608,660,782,676,148,813,019,596,034,709,989,064,591,823,
491,589,401,595,521,887,977,461,529,083,894,375,914,752,407,611,782,705,500,
303,173,372,490,889,052,317,984,021,967,609,194,903,692,414,947,544,082,659,
467,249,520,288,845,808,682,502,464,979,367,199,195,253,029,894,080,391,440,
821,372,570,039,841,703,739,074,744,633,606,572,478,664,188,356,298,901,634,
249,906,287,696,200,848,943,852,071,510,345,820,287,792,243,297,706,947,007,
963,045,932,730,942,891,258,662,080,476,744,638,494,894,089,069,123,351,256,
023,303,661,275,726,086,331,529,847,539,384,236,467,563,470,963,282,518,157,
343,895,644,881,612,619,430,211,083,302,107,431,374,426,618,871,708,508,150,
941,270,997,194,764,291,943,149,769,559,272,885,345,888,165,688,814,500,880,
677,994,019,076,271,989,207,176,911,789,422,238,203,168,282,147,800,296,579,
454,774,801,690,994,872,072,685,482,191,188,103,986,946,395,741,815,465,612,
652,580,639,123,398,698,665,357,996,182,838,834,024,714,973,210,867,351,076,
839,212,556,464,803,378,133,854,838,867,979,920,131,259,970,783,152,516,739,
436,801,837,422,977,053,538,532,723,423,492,701,274,618,142,430,819,881,472,
737,330,902,346,370,698,893,363,713,848,457,217,140,186,264,376,530,032,042,
262,256,490,294,940,914,185,639,561,837,949,606,538,473,292,177,164,817,646,
779,143,525,090,405,503,923,604,150,434,545,782,503,256,117,802,934,245,493,
014,314,967,740,849,953,607,059,850,167,974,527,889,328,773,429,275,763,748,
424,578,668,428,901,196,878,601,795,477,017,224,045,589,778,644,090,250,607,
741,965,535,228,213,776,682,963,157,497,331,394,473,012,628,980,464,633,088,
160,639,199,337,169,489,421,830,626,131,654,845,612,038,339,530,915,472,159,
254,781,451,571,692,713,777,858,365,849,441,964,301,304,391,008,269,872,457,
355,193,998,798,269,336,826,341,687,249,613,455,339,905,095,156,381,092,927,
821,773,331,820,854,709,398,514,294,543,251,472,565,827,164,252,661,254,509,
457,503,373,864,275,638,699,904,502,202,725,797,091,118,838,998,230,887,689,
661,433,828,723,769,467,787,333,081,325,791,703,602,017,745,759,963,008,300,
489,165,857,095,716,690,912,070,122,147,122,268,649,075,840,746,485,734,429,
885,933,291,069,698,980,636,134,869,485,270,171,682,420,675,836,000,509,355,
737,725,308,499,977,429,177,630,332,914,069,227,579,046,809,699,455,684,432,
681,068,891,563,830,188,539,774,736,152,700,663,853,964,670,679,763,061,452,
217,927,649,492,326,928,522,405,913,533,942,480,642,568,297,496,850,907,890,
460,828,420,307,273,336,045,271,798,856,374,037,606,072,596,581,469,549,988,
636,034,925,541,937,915,540,452,739,762,609,407,964,827,024,347,885,284,202,
135,550,644,933,685,406,097,922,195,881,362,181,119,227,624,720,735,175,469,
560,922,006,093,122,626,892,754,718,292,089,205,942,860,471,833,269,421,870,
410,078,219,169,649,178,121,881,325,685,085,282,857,786,340,144,635,081,595,
255,558,861,995,972,318,981,914,828,473,089,625,016,076,979,893,604,554,273,
858,447,637,818,786,216,542,043,443,762,517,768,340,113,447,620,738,661,676,
738,968,413,390,012,654,069,752,539,243,248,749,508,130,685,258,323,662,831,
847,828,613,082,310,709,678,766,944,420,415,067,756,992,423,831,532,666,168,
524,511,663,946,100,495,864,062,015,724,643,730,523,131,166,285,153,391,447,
820,487,488,712,559,052,220,621,332,290,897,799,352,121,346,629,764,783,913,
694,632,491,166,682,406,577,425,597,450,034,248,523,427,801,415,369,329,354,
866,162,962,449,670,852,999,710,178,277,097,641,978,505,771,935,421,185,532,
103,845,541,016,687,708,764,710,992,601,428,043,576,392,465,281,311,528,421,
847,261,903,444,459,530,639,895,067,944,290,124,475,035,433,311,365,256,436,
916,876,677,125,724,294,881,327,617,416,662,329,330,613,720,384,074,103,986,
060,386,138,311,395,359,374,482,670,100,873,223,285,919,815,929,214,635,495,
202,719,302,369,548,069,666,416,458,152,108,370,419,272,920,768,307,163,728,
295,192,202,981,737,913,382,120,344,415,028,373,976,589,983,461,020,936,497,
006,472,258,414,372,482,055,666,492,973,574,234,167,829,536,576,059,579,405,
328,192,352,441,671,680,180,360,759,535,033,665,098,476,993,453,592,892,824,
329,804,359,833,071,913,724,407,678,461,935,934,164,469,987,282,482,157,757,
468,742,701,960,997,617,335,311,986,520,101,180,474,921,458,254,148,934,047,
449,768,497,838,382,372,945,410,282,012,597,589,578,915,445,796,807,577,487,
753,101,111,667,689,530,304,961,940,966,704,755,110,299,587,493,887,349,290,
650,660,472,047,613,073,051,663,805,400,173,463,132,482,175,089,560,609,341,
046,872,075,982,621,541,868,102,878,506,045,187,114,437,635,884,509,827,916,
505,640,967,473,054,443,431,724,138,831,848,200,195,501,837,321,738,392,807,
790,714,825,417,278,923,243,815,909,840,913,704,798,289,813,233,587,016,407,
544,156,071,436,374,279,066,322,292,838,649,082,550,320,283,436,408,303,836,
264,031,190,110,897,954,208,689,763,055,486,732,482,853,306,840,964,899,582,
854,387,675,036,338,774,798,673,724,593,296,787,357,978,713,879,824,839,887,
545,087,847,076,611,547,568,183,856,350,020,241,582,517,306,101,907,862,570,
120,377,747,788,253,941,032,369,253,101,969,217,407,876,603,255,175,961,645,
110,540,803,926,935,856,782,822,731,164,768,790,156,912,738,022,292,998,174,
062,421,192,538,388,591,760,693,285,268,089,554,388,663,179,470,534,873,869,
489,662,505,013,214,071,547,555,387,463,517,289,407,005,164,888,321,495,116,
131,944,327,955,168,124,781,014,075,156,404,345,823,160,236,878,399,721,288,
257,029,696,969,236,344,361,370,712,194,071,957,569,156,314,256,474,828,481,
635,476,480,394,923,556,852,329,034,375,649,453,191,870,117,767,053,127,231,
174,915,153,643,780,983,421,865,035,271,779,795,224,600,537,683,561,183,963,
614,303,550,512,800,052,407,062,304,701,566,095,825,089,446,931,064,966,804,
571,227,296,130,040,931,279,321,940,827,023,696,523,965,050,330,372,893,608,
535,272,975,855,500,185,506,318,166,792,426,972,463,410,483,927,556,707,870,
006,821,995,262,451,496,049,043,417,348,080,424,105,667,321,678,720,450,181,
014,913,731,381,421,081,268,138,504,064,039,316,570,205,770,847,537,373,937,
304,125,034,941,445,108,432,828,246,952,922,679,135,633,529,535,937,057,269,
320,484,985,677,101,319,721,132,646,987,942,955,179,794,396,801,298,006,693,
458,349,876,643,182,340,007,713,821,694,096,424,016,663,815,299,293,001,342,
293,990,792,508,584,567,782,696,238,284,620,250,155,595,127,288,452,000,945,
827,782,258,941,949,275,350,801,607,935,741,306,880,330,117,496,703,074,345,
493,407,498,759,155,308,519,067,743,752,347,212,906,762,678,704,708,873,391,
680,987,487,397,433,784,856,557,157,207,587,841,919,578,195,390,150,913,336,
726,692,054,564,531,779,939,503,210,165,831,460,218,924,854,557,711,573,705,
760,270,225,348,886,133,914,537,687,151,366,175,664,180,757,597,014,359,813,
580,702,352,686,974,106,019,045,022,280,577,170,867,988,602,640,984,483,186,
613,147,472,281,624,466,465,271,687,086,474,038,173,085,244,879,579,590,964,
857,734,426,641,651,688,465,931,433,856,244,031,719,033,468,997,788,715,507,
011,751,518,504,989,341,887,973,477,108,498,937,491,506,476,872,725,660,063,
703,635,963,401,244,801,428,676,320,521,186,374,175,007,001,516,231,302,512,
195,138,170,249,878,474,208,091,348,379,098,827,014,455,134,298,845,313,574,
965,149,269,310,433,267,128,485,505,158,972,646,303,840,451,398,743,909,301,
754,718,181,944,945,262,823,782,619,128,504,181,214,426,476,501,432,929,917,
851,915,292,374,927,833,057,555,843,932,553,411,057,373,574,348,690,244,867,
771,437,062,961,975,585,446,597,224,887,003,292,013,838,648,038,812,235,772,
622,770,930,848,097,764,293,802,290,267,658,855,927,712,336,526,321,428,060,
758,154,559,600,866,172,234,416,509,615,385,986,467,516,243,806,806,680,861,
223,981,627,865,304,696,952,561,457,567,665,123,850,048,399,700,104,354,907,
696,297,698,930,051,581,769,695,446,788,080,449,323,049,650,910,487,132,376,
929,483,239,174,191,715,148,530,921,592,844,505,648,291,597,181,218,992,948,
314,805,192,706,370,901,165,684,776,342,429,857,857,466,885,428,665,232,080,
801,508,824,814,776,891,100,093,835,876,506,706,300,937,309,225,336,292,997,
189,818,588,084,541,076,504,336,117,703,210,333,732,819,854,575,123,454,672,
966,224,009,306,542,332,925,827,154,562,986,305,871,101,499,444,353,571,557,
335,244,819,384,720,636,259,886,354,399,704,858,230,786,221,713,225,141,291,
484,773,874,211,622,416,642,019,512,589,390,448,536,713,638,168,021,581,314,
328,217,319,555,343,450,784,403,459,510,720,951,866,804,506,903,063,511,713,
484,905,087,938,015,405,636,293,224,232,258,725,601,043,387,111,963,975,402,
872,042,776,600,650,254,262,669,019,545,123,432,872,251,571,727,282,100,279,
775,860,137,314,972,641,112,844,970,414,426,334,487,982,952,207,880,860,067,
664,070,057,148,570,329,680,118,434,546,895,801,698,286,048,895,528,583,524,
634,797,873,114,081,203,043,419,049,993,390,602,421,415,351,179,958,282,272,
222,194,480,539,489,210,198,856,952,328,821,654,983,249,680,812,830,775,747,
908,803,836,956,649,691,941,266,821,660,248,640,562,154,993,089,478,159,882,
723,328,016,503,044,668,323,895,005,877,734,958,071,318,037,676,519,321,762,
728,513,269,272,358,954,497,576,114,097,781,413,878,958,427,339,494,245,968,
399,917,252,197,092,900,906,994,614,929,433,971,341,236,595,144,983,637,315,
331,663,855,209,280,293,243,548,371,617,229,863,211,023,486,725,518,224,700,
497,183,869,645,768,404,081,214,761,605,500,486,668,224,037,240,014,578,670,
306,927,431,993,446,025,952,394,372,127,780,364,215,575,826,847,708,335,376,
601,588,064,758,106,637,427,825,328,665,665,991,990,198,438,847,612,315,008,
210,227,885,317,037,695,241,625,353,084,189,756,865,284,537,013,783,351,897,
826,519,930,034,756,943,067,952,041,875,369,422,673,242,288,525,392,356,307,
048,847,587,769,648,748,140,345,347,183,380,014,782,479,442,584,358,336,953,
335,321,312,825,399,254,873,024,243,597,038,175,888,577,793,755,276,970,788,
927,005,565,064,935,169,827,114,066,557,801,236,038,038,297,804,462,525,959,
357,640,767,104,352,032,102,109,699,626,384,848,448,255,626,733,973,847,299,
028,374,263,343,360,868,707,012,512,034,239,876,983,299,267,068,527,128,426,
196,584,638,680,644,597,823,513,693,105,602,533,744,118,888,775,727,044,982,
148,796,486,771,432,587,222,149,004,285,878,687,321,577,918,970,858,245,831,
877,625,671,547,705,930,731,803,723,414,537,975,563,026,213,314,185,060,405,
566,246,636,777,685,204,558,999,009,441,603,373,474,700,923,541,084,668,208,
040,298,017,129,859,866,452,721,842,504,412,516,639,124,240,796,367,322,769,
507,582,173,820,324,325,871,926,635,818,030,309,184,970,158,756,517,167,906,
868,484,690,025,600,029,524,756,697,766,922,172,533,000,413,056,136,648,977,
789,536,980,660,868,269,331,247,901,094,203,358,038,981,692,141,500,149,481,
568,252,961,485,292,513,892,321,862,483,938,958,376,443,845,912,338,332,013,
286,262,065,864,917,834,661,441,807,965,510,017,045,150,379,068,225,379,818,
910,781,947,882,019,300,597,848,771,896,791,324,728,341,519,886,763,781,727,
635,143,674,273,074,132,307,845,636,242,787,320,013,692,291,106,941,752,783,
226,571,102,571,562,403,358,556,264,972,470,186,035,202,067,691,532,136,781,
181,585,329,482,487,277,657,102,598,760,757,082,310,262,735,218,715,614,200,
826,513,481,942,278,160,921,439,003,351,634,357,885,305,407,436,145,802,569,
701,662,619,406,263,003,429,740,230,892,826,742,610,102,004,153,409,972,053,
121,986,635,690,586,304,979,872,615,787,892,153,655,468,380,404,778,447,299,
736,307,160,948,063,460,034,135,467,502,715,011,076,578,458,048,004,224,199,
062,274,274,984,286,701,878,117,319,017,967,443,232,079,673,260,660,463,390,
266,070,314,486,356,997,687,917,917,544,425,516,299,779,457,971,192,786,766,
360,957,043,833,349,496,041,285,595,244,856,103,826,208,905,943,557,449,819,
778,271,300,765,528,351,126,915,418,390,082,960,603,705,784,915,271,432,973,
537,524,155,865,272,863,992,101,914,720,742,468,701,938,022,659,668,731,476,
789,737,181,642,346,883,224,532,996,712,388,970,345,448,759,926,145,627,413,
168,583,761,929,153,552,910,271,455,177,190,667,845,135,486,803,124,487,523,
419,547,217,537,257,642,923,893,907,212,552,532,058,853,224,113,794,692,642,
152,644,204,418,824,730,145,153,839,733,516,857,338,048,099,296,501,581,798,
783,223,476,009,970,765,239,854,823,558,054,766,592,102,945,009,594,549,866,
280,240,856,616,176,425,823,076,728,190,952,387,337,050,005,850,242,861,320,
797,892,749,760,346,502,426,397,687,977,540,081,189,099,165,948,788,521,240,
803,270,839,097,904,806,858,493,194,080,796,139,581,447,763,017,223,731,715,
149,648,858,522,732,537,784,151,770,391,702,571,713,265,748,417,366,241,687,
185,656,468,489,095,360,384,738,343,454,114,642,480,393,146,674,018,803,124,
330,763,844,761,265,503,646,556,518,337,208,402,259,991,301,229,174,913,055,
551,175,032,483,961,825,073,449,222,061,434,166,183,905,387,094,059,732,683,
208,638,804,876,191,973,527,840,166,519,960,472,142,859,688,548,315,097,690,
466,830,365,675,731,384,480,093,461,232,480,884,673,788,943,881,202,264,924,
092,401,992,260,292,629,033,118,311,400,956,972,206,399,466,029,977,858,984,
240,077,862,582,507,570,924,234,454,016,085,027,659,680,713,011,931,284,929,
420,245,528,322,464,410,606,714,813,429,715,357,402,881,693,515,874,395,984,
412,935,422,051,389,802,696,876,785,668,345,339,598,176,772,903,421,819,853,
752,513,149,539,152,273,124,341,939,240,266,212,101,253,856,933,808,815,177,
022,089,502,724,764,874,569,929,776,333,886,269,865,551,887,254,196,037,901,
818,998,303,843,796,429,326,839,007,450,232,836,443,984,430,015,980,986,178,
613,899,012,011,529,370,842,072,158,786,655,422,596,475,218,590,252,443,762,
347,243,486,911,770,755,995,518,689,587,290,879,882,093,973,638,692,533,092,
790,089,120,266,899,519,168,771,281,260,725,307,443,565,064,988,448,226,432,
587,142,734,601,343,917,048,111,365,781,415,496,444,742,786,686,680,652,650,
482,894,381,462,906,409,072,239,076,187,800,471,937,184,575,749,256,358,411,
635,882,323,433,175,965,277,008,232,682,900,517,280,073,027,197,365,875,439,
264,669,514,086,423,919,662,701,430,878,007,639,199,088,343,747,610,350,204,
783,258,273,289,158,915,993,134,931,769,849,470,042,338,914,027,430,049,788,
514,302,506,672,198,017,325,222,282,947,671,126,725,840,749,267,164,756,304,
743,285,263,151,580,158,388,872,284,948,662,359,915,756,781,990,036,113,933,
209,225,113,119,684,626,824,231,418,845,549,461,549,866,945,319,876,230,735,
888,419,116,855,285,246,819,449,180,909,370,085,928,153,789,942,200,097,553,
636,893,976,173,920,992,180,427,094,854,697,437,388,408,364,040,170,736,894,
363,367,552,295,991,023,903,870,295,790,753,190,864,695,113,516,422,669,888,
881,848,186,229,032,339,769,328,502,896,333,363,485,021,214,263,031,004,713,
652,566,644,552,007,689,228,748,586,601,128,231,547,613,401,271,494,197,658,
489,671,903,282,459,152,466,142,926,546,402,649,580,584,326,956,337,984,106,
551,224,632,331,903,124,224,024,220,118,577,573,372,428,032,347,270,350,859,
195,401,794,288,616,743,663,054,918,566,017,944,359,494,170,846,572,851,859,
424,190,839,493,428,616,106,637,745,907,128,120,908,424,199,806,023,012,659,
609,473,114,570,150,364,209,446,530,164,080,664,338,809,633,298,490,348,024,
697,381,779,450,404,623,341,874,191,680,871,335,706,129,634,293,763,255,835,
730,634,423,223,815,591,248,390,684,760,593,594,873,832,339,494,362,190,640,
436,688,048,307,897,427,824,783,816,388,128,926,623,269,488,723,351,825,466,
551,602,210,263,823,955,315,932,910,771,768,307,329,772,320,427,340,327,623,
349,384,929,678,385,656,241,799,085,978,881,460,897,864,762,646,046,606,509,
822,957,183,497,270,990,985,136,506,524,751,166,598,057,026,210,972,658,611,
326,177,887,471,886,636,286,715,464,335,706,630,811,400,182,015,831,552,160,
917,603,234,492,664,093,683,830,393,421,571,673,999,403,223,044,570,856,014,
106,892,257,840,840,616,618,044,992,295,191,778,986,713,367,062,703,643,597,
644,822,851,794,660,629,911,153,508,247,283,591,778,054,755,152,792,102,259,
739,167,942,012,151,528,549,619,185,467,764,983,895,324,026,341,988,466,358,
690,379,684,325,025,946,761,973,961,548,040,375,705,182,105,661,136,305,429,
351,141,850,799,303,834,450,670,876,217,001,805,512,360,769,386,252,407,974,
660,456,975,965,071,853,607,640,828,176,166,062,478,295,807,691,765,432,575,
322,062,906,584,378,587,050,015,434,529,066,979,846,776,173,677,450,897,779,
001,958,568,767,002,926,183,268,885,927,424,759,538,982,978,054,686,715,607,
167,993,603,149,449,833,889,979,660,122,315,345,892,354,193,252,655,065,942,
243,043,638,613,469,908,597,548,629,705,909,889,986,817,300,295,010,085,872,
550,045,225,264,215,185,771,740,886,288,494,214,497,068,874,980,492,254,514,
051,431,404,585,875,299,368,109,886,274,399,201,790,060,292,104,795,700,966,
990,023,847,806,032,071,398,601,677,088,687,280,042,175,639,402,937,105,283,
965,399,025,468,540,119,430,125,602,917,387,079,540,306,002,498,673,861,102,
412,096,834,386,337,666,954,287,738,882,661,204,605,354,468,272,649,952,836,
675,717,771,251,170,316,457,812,223,992,047,556,784,255,207,800,512,651,071,
852,232,553,269,355,635,744,383,892,243,735,455,766,733,149,832,887,700,207,
696,758,848,217,052,451,503,974,277,559,574,732,397,928,172,771,246,147,660,
315,123,862,514,527,468,577,507,612,889,102,253,407,293,183,976,068,046,544,
821,635,921,418,447,854,661,535,856,031,719,090,941,292,365,354,552,079,504,
879,928,739,747,255,044,967,850,437,283,347,855,777,347,679,587,158,299,459,
861,948,698,539,392,005,324,068,461,316,425,967,723,475,017,781,856,323,159,
059,394,955,224,213,048,441,616,177,724,809,376,321,310,916,198,007,503,759,
036,381,448,856,193,070,911,698,150,297,772,553,885,092,644,944,177,602,757,
467,101,304,353,033,898,162,351,018,005,293,321,879,680,040,032,903,530,512,
937,787,545,145,253,245,287,307,499,712,059,586,911,513,893,329,088,330,433,
151,744,537,503,940,174,436,087,023,375,284,092,714,181,210,097,444,687,843,
599,641,401,000,513,790,068,669,955,422,476,041,951,718,070,952,145,097,046,
231,477,695,221,732,574,117,133,532,187,339,046,602,129,171,357,207,417,204,
997,608,030,125,421,406,207,145,323,563,499,029,370,780,838,755,227,231,563,
701,953,852,862,607,094,202,235,267,810,932,697,355,750,333,108,873,156,601,
020,726,107,519,562,014,996,565,107,097,630,246,978,995,540,211,560,012,285,
891,769,229,738,400,810,029,184,242,277,175,843,647,732,239,773,283,073,352,
573,787,836,579,737,906,490,992,761,620,663,313,768,970,716,917,427,403,522,
262,660,607,180,576,997,911,905,745,053,813,441,522,846,142,657,687,311,556,
331,269,288,132,225,887,663,165,697,177,185,386,446,323,944,117,121,952,497,
299,342,351,780,158,120,021,781,925,162,306,587,190,841,629,508,726,193,260,
322,995,239,821,790,704,741,690,369,284,108,402,554,707,868,353,944,520,147,
431,860,160,588,885,665,819,497,271,730,269,985,820,685,851,101,989,808,615,
086,464,632,877,748,689,608,687,794,855,193,487,374,373,911,074,951,808,489,
237,056,856,764,034,972,977,377,034,279,095,191,487,570,238,016,898,176,576,
138,386,513,907,112,900,842,687,846,462,461,433,784,045,339,726,801,539,565,
594,861,396,573,091,828,910,544,851,837,839,895,203,956,623,251,842,670,340,
521,904,576,163,341,192,009,226,374,109,976,461,162,075,261,459,416,800,881,
006,531,112,649,295,271,664,615,515,990,596,701,945,189,341,070,373,593,605,
594,113,452,681,345,789,832,633,206,780,112,686,299,800,006,515,255,361,076,
588,916,659,859,808,404,066,400,626,473,864,966,580,979,582,071,847,424,652,
766,276,757,371,095,777,447,150,552,942,241,537,185,909,037,611,437,467,554,
278,101,955,796,986,535,895,620,314,431,439,093,040,458,640,827,560,015,770,
221,977,376,866,550,751,061,081,775,298,699,216,390,192,056,214,144,396,431,
184,813,632,241,061,247,642,678,871,793,199,113,586,705,578,919,232,328,979,
498,461,152,280,919,616,560,170,250,422,633,327,660,433,742,272,435,556,360,
635,656,092,309,647,150,815,975,687,279,065,880,116,421,491,093,333,755,812,
270,941,140,198,341,152,059,229,069,168,003,946,215,184,739,965,653,831,780,
413,747,425,389,491,263,775,141,537,692,242,863,778,926,512,877,644,662,973,
060,096,455,677,056,072,142,118,482,741,067,832,619,594,076,808,574,074,283,
296,442,912,291,018,351,453,297,735,307,214,425,304,006,707,185,599,633,612,
639,190,911,341,730,776,423,394,433,495,384,201,768,870,375,641,512,377,116,
259,774,390,781,852,599,749,091,990,406,742,769,351,576,841,547,516,270,108,
442,553,558,368,930,642,203,931,131,130,556,739,283,228,390,669,679,040,858,
881,623,851,513,430,107,027,015,081,044,981,915,587,171,536,260,921,890,650,
455,550,821,572,642,170,539,777,776,755,793,828,390,942,759,581,992,595,639,
453,752,261,071,835,700,365,519,823,670,116,943,754,498,313,151,852,064,089,
385,354,823,859,822,466,139,857,058,606,197,205,628,980,393,548,817,952,280,
095,980,056,195,964,860,407,372,930,913,727,918,773,528,786,929,343,505,772,
378,247,617,098,477,568,205,672,950,619,341,567,260,612,827,315,875,015,944,
091,498,515,250,891,689,502,188,966,819,739,316,680,968,263,725,199,662,072,
565,178,328,942,487,894,056,784,960,534,177,632,125,528,007,565,966,684,135,
785,837,850,062,914,192,474,510,820,022,840,039,796,233,676,775,530,888,064,
845,266,831,783,914,050,990,686,191,780,394,411,724,588,581,384,438,636,378,
118,346,075,942,426,993,859,230,664,897,492,875,432,698,068,269,569,135,135,
256,349,262,793,762,413,809,228,503,893,907,298,836,211,786,024,883,683,760,
467,441,052,208,434,287,056,460,076,003,894,218,641,452,363,408,879,539,310,
119,594,719,376,914,291,446,119,309,765,679,563,947,775,661,457,611,201,922,
320,535,041,559,775,407,312,399,987,133,962,524,583,419,226,387,991,958,818,
485,708,581,837,542,275,115,072,798,775,238,198,166,158,985,537,040,744,128,
408,459,455,639,891,752,906,080,649,239,548,183,799,637,200,348,533,461,730,
745,603,778,549,297,037,844,482,271,604,908,641,216,700,121,773,524,674,580,
688,746,697,813,931,113,357,743,545,427,498,791,087,108,156,087,771,287,592,
493,664,270,222,887,858,687,245,688,890,254,920,781,724,394,007,905,314,824,
160,543,141,325,585,509,237,880,154,819,355,778,785,367,180,057,386,765,863,
037,511,311,826,331,626,538,397,512,783,580,887,649,683,031,118,290,554,288,
792,602,229,837,461,369,287,379,849,466,768,620,697,215,478,999,904,033,576,
054,435,958,906,311,295,321,393,064,027,230,006,548,819,284,912,490,965,604,
205,457,453,098,882,353,459,914,205,135,858,926,797,882,412,847,104,621,700,
170,861,934,494,797,687,755,646,078,848,157,066,757,007,352,244,777,147,763,
816,882,342,007,357,678,423,030,984,125,898,224,393,876,277,795,206,323,648,
368,254,221,932,301,814,985,548,287,486,950,822,645,130,608,181,014,015,506,
642,896,140,986,442,682,049,749,987,788,840,198,598,421,193,445,839,171,119,
356,238,548,369,295,976,318,738,007,098,274,507,897,763,489,410,354,582,546,
745,836,389,326,223,287,601,219,784,909,970,008,526,799,733,080,293,995,433,
562,504,572,183,478,096,252,360,513,046,403,912,994,816,839,475,991,208,022,
856,946,892,178,848,431,882,910,487,831,313,166,551,386,620,045,863,548,537,
525,026,474,637,807,953,282,194,026,553,910,826,203,979,778,162,106,599,557,
540,747,328,792,104,349,721,423,196,122,702,029,580,619,010,101,730,019,464,
957,945,708,644,808,036,723,885,363,512,766,068,009,079,006,066,203,528,510,
292,298,069,399,738,553,135,025,795,493,590,551,843,502,243,097,603,699,629,
975,414,957,143,441,844,965,516,655,677,922,160,907,747,003,455,750,484,796,
162,004,109,810,804,043,933,987,444,216,510,187,820,611,986,660,606,847,446,
078,652,286,106,835,425,680,365,260,178,100,045,889,209,639,077,491,937,100,
215,475,566,302,344,627,828,124,451,597,700,239,412,074,433,079,827,032,409,
690,296,967,569,807,459,760,114,573,418,650,325,318,835,428,816,738,193,303,
715,769,041,830,146,234,072,367,720,515,869,776,197,756,433,344,417,908,869,
631,793,496,952,981,888,173,542,048,250,195,728,010,906,344,159,127,549,222,
797,656,543,022,121,424,599,500,233,576,622,160,097,000,417,046,142,391,257,
134,268,182,466,028,962,426,296,611,321,701,486,327,314,526,045,766,125,582,
418,284,701,596,294,901,250,040,042,016,745,467,770,364,756,576,441,706,653,
671,007,405,304,450,515,965,070,580,359,310,083,559,764,077,109,374,544,387,
727,722,178,329,260,639,010,259,615,457,529,311,378,196,023,302,296,503,996,
203,148,685,712,209,918,044,734,016,383,582,560,087,135,268,432,682,096,135,
822,216,139,825,947,385,915,041,173,742,363,609,535,685,318,585,285,587,024,
451,244,443,821,267,781,636,601,840,310,316,904,195,235,538,713,194,082,489,
665,578,045,300,252,727,727,271,388,192,450,406,030,262,704,384,406,113,905,
668,539,841,752,678,236,132,322,560,955,401,308,361,498,272,122,345,998,298,
895,687,151,031,989,193,855,211,363,431,675,013,126,662,264,674,638,086,361,
481,118,261,859,029,001,681,775,748,446,926,271,992,483,853,768,676,027,126,
618,359,038,611,281,694,915,697,700,364,958,912,104,814,357,527,659,053,115,
227,613,847,662,563,617,674,072,848,611,105,115,345,740,286,303,943,228,049,
804,180,463,583,746,089,776,688,050,679,558,690,711,123,111,304,598,963,573,
770,425,310,432,328,300,572,541,428,031,589,856,099,497,527,038,194,454,913,
585,951,247,013,543,973,130,177,194,524,261,156,317,622,646,114,472,586,560,
692,412,750,927,458,349,085,788,558,999,410,062,830,301,989,350,186,323,094,
546,248,599,663,868,765,244,512,401,141,994,251,693,284,416,994,961,990,811,
941,883,895,892,821,590,926,825,379,603,559,747,294,260,530,111,276,640,100,
334,366,142,830,696,996,150,396,247,915,830,448,986,074,676,954,029,352,521,
236,257,740,045,568,487,869,839,031,256,312,701,289,558,588,876,463,865,574,
350,669,241,967,136,818,622,072,835,630,934,652,938,504,489,827,409,583,154,
783,167,515,318,854,378,024,369,514,063,593,318,349,496,272,981,572,826,996,
158,919,979,051,925,783,135,122,508,841,981,037,731,253,158,320,661,001,030,
078,726,515,498,432,404,545,405,277,939,415,674,896,490,662,185,789,063,723,
162,921,230,031,399,064,405,149,589,720,305,316,551,030,540,597,520,717,968,
842,239,436,511,729,805,624,923,330,987,017,394,888,181,255,983,139,030,115,
948,829,788,188,061,464,144,752,915,782,444,717,301,961,642,535,923,812,911,
556,364,790,436,360,318,274,267,450,320,034,241,785,041,469,368,903,101,786,
778,956,703,588,478,341,516,866,516,040,969,246,207,628,713,409,298,420,363,
195,424,999,312,997,818,789,493,395,855,437,175,994,212,170,388,153,395,003,
741,425,933,981,374,506,017,840,725,407,399,111,099,448,378,953,931,136,294,
884,819,200,936,969,301,125,946,921,563,609,221,222,809,322,759,042,328,594,
060,550,168,902,955,866,457,714,307,468,411,479,890,169,490,442,909,708,836,
668,534,060,344,554,684,952,731,089,973,068,826,958,355,342,264,233,594,531,
929,455,840,916,138,548,230,841,896,174,647,551,483,026,473,863,617,067,307,
796,454,949,516,195,659,245,403,926,829,559,166,136,345,890,837,843,984,044,
518,751,704,864,214,832,202,061,060,056,036,569,848,609,610,625,379,703,118,
385,171,641,836,719,503,619,400,944,620,703,208,689,460,209,322,318,972,285,
287,065,906,348,397,518,076,453,675,047,532,469,518,494,388,408,190,516,558,
301,333,285,496,929,964,366,104,657,136,784,323,973,060,235,892,188,485,843,
500,836,142,805,414,493,761,563,207,177,322,082,364,914,933,501,270,566,376,
012,092,575,275,580,346,994,906,525,706,735,155,590,715,699,246,851,523,405,
516,106,367,107,593,711,223,947,899,589,063,254,710,505,190,888,150,601,906,
170,705,939,797,198,049,199,380,661,429,046,112,235,350,437,704,396,334,256,
889,352,559,447,277,323,597,369,833,433,802,661,391,940,708,764,717,060,528,
076,546,878,961,280,956,153,005,490,230,688,534,631,342,145,800,801,449,889,
076,827,474,371,387,736,731,040,784,421,171,371,902,531,204,861,410,220,902,
223,712,465,575,299,451,794,717,871,609,280,955,284,027,546,018,330,646,998,
019,290,456,299,135,701,313,785,095,035,105,983,521,372,821,865,960,885,184,
932,427,686,078,708,535,884,356,815,462,645,082,899,095,228,461,317,643,866,
431,375,385,383,677,817,677,585,692,197,264,663,837,645,835,698,055,584,278,
230,075,162,450,879,721,031,015,611,267,153,266,547,827,427,160,092,226,672,
493,927,442,066,086,215,479,615,180,875,169,307,381,060,548,265,563,572,619,
032,052,192,416,840,397,080,958,855,247,400,477,419,972,231,613,240,309,676,
535,618,791,533,601,983,275,338,058,630,364,841,144,137,525,612,069,839,840,
229,540,703,750,564,092,501,620,818,882,477,827,032,025,368,761,830,437,827,
076,500,358,403,319,313,449,770,646,403,627,934,657,082,989,385,086,848,419,
596,825,807,713,550,524,554,168,318,756,150,237,557,081,941,341,813,719,821,
696,749,803,941,860,158,199,916,436,971,190,526,673,988,873,734,102,431,422,
691,131,224,537,889,346,657,686,745,707,039,413,825,893,878,171,613,327,013,
756,243,370,742,413,539,602,723,694,682,028,134,530,929,592,574,796,780,954,
513,084,360,106,605,924,113,870,528,382,416,504,717,676,494,929,782,603,017,
337,299,934,484,179,616,421,012,417,308,009,760,769,612,072,082,604,334,286,
440,022,246,178,709,712,590,520,649,860,286,868,702,052,421,085,380,340,135,
856,432,554,067,678,250,747,368,453,286,445,480,700,778,923,198,510,913,533,
745,900,497,956,832,225,771,569,976,370,905,605,065,027,620,927,885,480,586,
365,938,354,432,231,797,449,940,603,940,850,042,178,342,554,826,911,575,095,
581,150,774,390,387,180,271,663,704,765,745,373,806,657,358,824,973,816,282,
801,173,248,186,055,832,789,739,652,442,470,468,052,149,953,023,741,143,208,
782,968,473,141,157,141,279,304,529,812,269,109,388,171,085,747,597,353,063,
062,743,506,634,600,391,663,954,747,444,039,558,803,956,956,604,942,310,236,
679,047,806,737,823,425,569,716,394,001,063,824,675,230,178,392,841,986,272,
726,028,977,268,566,787,404,729,139,456,086,933,156,934,394,880,470,163,198,
193,330,736,805,839,704,711,789,597,857,252,687,053,569,986,632,968,366,721,
398,924,157,454,331,294,851,931,276,066,941,672,861,996,035,028,790,512,299,
495,635,735,995,999,285,946,726,238,597,780,870,562,498,490,326,283,382,944,
716,671,392,551,783,571,411,285,302,590,388,340,696,982,711,376,732,279,782,
916,150,599,217,170,321,945,237,893,436,527,613,924,243,122,370,121,924,318,
230,991,222,474,378,382,780,305,282,239,409,400,739,702,181,650,268,639,781,
724,414,439,569,326,117,499,432,411,712,314,633,107,187,817,521,065,402,273,
801,735,028,717,916,080,967,583,420,505,416,080,787,196,302,102,333,119,355,
797,060,142,054,975,722,580,952,110,374,049,199,823,007,998,538,701,109,284,
531,061,636,097,346,437,447,707,646,312,999,908,898,529,076,512,659,964,759,
166,061,494,116,157,865,472,687,083,169,500,497,167,844,719,550,491,210,493,
125,901,203,635,987,416,904,742,687,165,880,733,995,025,471,999,219,320,962,
849,352,632,592,592,564,400,752,991,168,770,576,548,582,948,549,122,486,680,
898,997,928,830,724,810,609,104,783,224,636,899,919,138,037,621,097,351,031,
063,947,420,864,910,520,765,780,947,208,781,540,057,205,447,008,520,094,234,
187,074,374,477,244,757,791,565,767,403,636,543,784,742,758,144,137,182,459,
691,411,546,222,035,138,707,510,844,783,080,405,353,758,766,717,919,996,911,
178,906,156,568,276,770,745,198,459,152,984,929,948,053,589,751,014,559,471,
804,712,581,113,120,812,204,837,567,322,429,013,664,220,518,719,829,465,487,
759,988,233,525,930,307,674,219,566,108,370,618,815,247,437,905,427,779,741,
881,888,411,178,077,215,760,953,399,112,522,743,178,036,084,317,254,789,087,
145,686,330,265,181,293,253,010,182,585,026,245,421,278,420,154,963,128,716,
710,016,020,161,250,879,093,027,889,218,451,447,291,431,821,786,123,930,172,
516,031,201,232,022,016,057,030,724,157,244,842,239,821,513,739,471,195,877,
037,862,360,635,701,137,833,180,250,934,303,507,720,846,317,648,057,818,240,
133,859,054,872,354,895,175,529,535,559,535,591,093,775,218,800,726,311,264,
499,156,333,512,936,209,252,515,457,363,788,463,927,725,234,720,087,441,500,
301,909,222,281,672,586,058,865,639,405,537,125,349,339,457,955,576,858,252,
430,414,272,893,310,192,257,448,474,492,953,057,725,335,264,586,870,896,382,
208,494,173,399,396,202,612,523,495,897,268,823,638,922,705,372,880,713,022,
345,499,709,863,444,721,593,386,193,460,328,395,107,192,715,545,400,565,636,
447,736,569,102,728,572,571,910,803,540,215,790,677,308,212,499,119,996,260,
375,546,003,485,015,493,095,530,261,616,258,009,083,204,705,987,039,058,555,
920,368,719,485,450,988,396,020,016,742,435,832,731,540,190,603,307,545,592,
145,557,471,658,134,608,372,360,101,853,756,464,853,722,476,913,867,089,253,
746,158,562,320,567,981,918,060,222,302,483,958,291,088,837,774,805,047,041,
949,435,702,438,319,376,853,271,884,364,395,710,631,260,324,678,378,423,512,
788,710,512,799,504,387,747,673,526,359,035,819,770,267,724,021,516,825,864,
470,947,072,697,136,032,943,242,201,024,041,920,746,107,143,076,932,373,101,
806,313,152,636,228,775,023,993,911,012,426,064,105,095,061,803,874,623,138,
563,596,493,266,228,122,720,528,674,273,826,065,943,459,862,333,383,084,234,
183,726,300,162,488,206,569,706,651,488,496,248,847,356,050,410,327,726,621,
027,181,282,326,028,231,957,773,788,773,076,139,534,624,684,825,684,881,470,
757,343,108,990,215,420,940,472,146,788,241,388,342,604,599,028,819,192,353,
516,973,152,345,981,252,523,228,581,823,514,177,489,161,547,640,251,121,772,
382,746,586,254,198,407,653,949,200,358,522,074,193,482,569,756,082,554,766,
516,271,735,639,478,938,342,228,601,446,875,867,875,332,522,909,421,439,717,
191,249,694,722,854,349,617,234,578,203,448,159,134,291,291,530,193,677,116,
990,796,509,861,939,736,356,590,311,983,216,274,509,059,924,725,831,607,773,
047,196,831,269,978,029,073,789,298,339,323,604,816,195,189,437,112,460,752,
430,665,755,422,496,241,545,938,793,922,489,710,576,587,267,214,361,513,080,
501,592,528,440,708,434,952,796,059,601,243,597,867,980,140,302,444,868,126,
195,072,306,321,538,887,564,205,217,549,081,957,128,001,582,411,468,269,555,
723,675,354,057,070,465,162,651,902,427,862,471,616,595,644,236,349,721,371,
195,579,153,329,170,749,576,104,899,708,176,598,056,460,483,708,758,904,004,
513,827,918,532,484,698,195,408,249,485,079,731,273,028,315,777,517,857,245,
235,085,220,591,541,231,462,217,867,871,402,292,655,856,678,847,257,663,984,
027,753,259,000,527,270,717,588,791,444,311,269,145,933,467,526,788,442,231,
799,859,281,374,262,450,951,710,877,960,378,647,023,658,619,595,581,948,028,
935,070,813,274,315,662,391,210,545,392,138,292,855,119,364,179,040,358,846,
314,025,312,860,719,362,394,387,420,653,450,971,393,347,218,702,091,620,352,
057,801,317,041,285,951,475,711,163,438,605,173,039,537,952,046,924,065,901,
328,146,744,016,593,904,690,403,636,277,539,096,321,829,968,158,445,460,814,
693,326,372,930,087,531,284,273,511,997,255,029,425,190,230,556,263,889,536,
082,027,624,679,765,029,637,074,722,968,113,607,682,326,684,396,657,355,397,
252,120,208,956,118,708,482,402,986,071,962,020,143,532,005,280,353,542,515,
634,781,513,194,068,108,446,589,629,918,009,346,439,185,982,374,718,984,132,
549,159,973,223,949,120,747,999,802,409,756,255,982,292,482,443,852,811,427,
072,897,595,287,840,640,788,978,972,770,180,903,238,448,765,757,038,609,354,
821,598,003,363,879,464,415,408,034,622,393,095,648,458,878,638,739,558,333,
650,225,411,573,230,906,284,737,150,243,650,359,692,576,352,524,417,166,788,
625,382,702,762,472,085,161,591,543,774,669,520,445,882,139,592,035,181,970,
651,479,401,755,186,053,319,735,941,463,264,812,051,351,197,082,021,157,521,
083,003,011,226,766,758,330,041,964,461,625,672,705,170,249,622,472,988,562,
467,869,923,219,886,497,678,846,575,424,850,904,106,830,942,990,899,956,613,
672,459,684,500,944,906,398,252,238,484,506,346,738,407,522,902,001,927,999,
487,785,392,553,362,727,393,287,019,689,293,816,998,659,756,736,854,880,693,
933,809,699,871,544,142,822,572,587,971,204,849,420,739,022,929,237,980,575,
181,397,800,244,209,240,779,425,584,257,419,342,568,511,969,716,597,589,552,
897,201,127,210,593,367,847,021,349,490,071,472,668,637,674,647,716,958,078,
761,591,360,794,010,885,891,732,828,680,457,924,376,181,340,883,241,328,158,
224,135,545,320,230,921,319,142,844,589,783,306,186,938,436,242,794,327,150,
082,360,174,839,065,790,105,719,614,710,630,038,591,972,814,995,990,449,930,
935,628,464,840,234,111,689,452,197,192,578,158,464,419,339,253,256,521,090,
992,916,240,962,141,295,955,696,897,817,170,540,014,012,481,661,272,604,616,
617,082,444,311,404,375,476,115,225,867,284,883,917,999,110,542,278,443,057,
639,195,604,420,195,511,891,617,462,533,146,189,485,548,351,553,645,029,890,
089,413,632,623,947,896,469,760,176,565,620,331,175,975,826,368,819,361,248,
359,019,130,660,529,181,420,919,169,427,606,023,998,726,729,640,483,635,079,
091,035,794,022,467,690,207,764,156,280,563,350,598,991,928,213,673,377,548,
573,835,578,979,727,917,653,018,378,799,433,927,170,230,254,273,462,862,305,
742,099,626,697,457,678,261,188,716,035,988,688,290,980,710,101,466,081,529,
082,530,873,650,175,473,813,199,253,486,288,786,022,797,276,518,148,576,468,
490,947,761,908,536,780,604,649,747,172,429,077,794,166,520,407,302,074,585,
707,548,387,115,864,364,415,821,129,607,013,606,381,112,385,745,442,777,987,
628,498,809,883,894,928,259,128,795,540,960,401,393,491,143,688,713,703,597,
260,960,432,336,759,494,241,294,412,821,120,577,344,420,655,735,121,782,981,
168,708,215,229,443,022,102,856,147,633,670,484,885,560,238,466,970,772,970,
036,912,322,938,782,733,338,734,288,578,786,557,167,929,141,448,925,158,569,
347,876,767,006,216,785,051,371,556,132,253,337,344,251,355,089,191,409,252,
822,857,975,491,669,404,531,721,703,030,848,135,838,028,830,064,142,436,583,
371,617,170,816,414,615,328,925,270,433,630,002,746,255,236,487,976,303,576,
799,544,882,061,572,127,375,912,918,264,345,737,244,326,226,511,448,223,416,
790,378,339,398,007,843,866,911,064,160,961,399,070,309,123,233,261,000,578,
345,144,858,848,984,005,793,514,867,315,453,591,130,806,468,494,420,602,192,
018,100,174,356,524,680,076,110,175,345,004,967,067,169,110,305,900,018,269,
826,013,328,449,024,044,728,285,319,386,068,865,387,443,450,580,998,420,445,
792,092,076,092,035,312,527,346,147,135,297,621,200,890,873,126,850,362,743,
016,885,961,737,267,681,882,369,050,776,605,885,742,848,728,369,686,379,794,
195,199,003,903,061,926,376,460,578,752,894,196,710,101,590,208,434,093,151,
760,247,599,235,907,981,793,780,230,656,868,046,135,016,275,076,512,147,622,
739,820,078,181,158,338,557,983,307,066,101,413,943,739,928,625,440,803,406,
186,656,558,422,830,738,167,599,732,349,296,945,830,761,804,937,058,525,913,
162,092,887,899,121,774,454,168,658,137,296,728,189,204,844,139,322,382,977,
059,321,981,952,315,804,532,219,894,138,932,904,132,007,518,215,012,479,808,
844,812,698,890,828,000,318,076,793,494,294,220,036,746,365,815,762,246,490,
743,707,635,606,126,933,299,747,793,315,100,862,844,205,404,324,258,688,396,
529,492,511,088,379,856,756,169,780,143,285,733,036,923,674,756,042,786,219,
631,762,448,201,295,976,822,773,188,289,632,692,829,327,240,681,679,713,848,
449,640,469,376,619,332,544,651,310,992,393,777,267,873,928,289,048,115,178,
682,257,631,812,712,005,983,968,823,345,834,134,297,873,309,301,900,146,430,
735,831,503,862,032,883,880,755,358,001,734,014,266,175,723,565,754,127,189,
390,986,366,932,965,186,872,359,563,498,165,903,065,989,551,490,398,023,497,
591,233,583,082,952,316,781,490,538,999,710,543,619,580,682,313,932,071,941,
569,287,969,726,907,998,505,437,752,025,442,770,668,702,887,087,268,879,168,
735,316,784,918,362,084,896,597,494,730,605,978,571,409,092,889,711,198,850,
496,291,006,202,621,872,223,023,125,050,728,451,894,976,230,707,697,280,006,
231,826,301,286,139,953,788,348,155,677,661,467,736,572,437,539,855,691,818,
773,984,845,006,873,759,020,014,656,766,007,824,141,746,902,100,043,157,965,
827,970,337,345,121,505,035,592,191,106,988,920,187,299,582,619,495,570,325,
645,893,399,506,017,540,992,925,061,583,454,163,815,223,169,836,130,681,522,
347,954,789,473,477,309,715,141,291,354,863,216,154,381,426,426,915,214,641,
790,336,700,775,417,268,031,128,686,610,406,485,706,204,927,994,806,207,646,
236,593,294,702,971,887,097,699,855,207,399,461,929,668,102,149,660,482,278,
825,077,140,385,310,151,894,210,677,652,148,556,862,937,895,216,175,159,102,
478,200,387,452,763,187,899,542,690,003,701,750,486,148,233,561,679,354,997,
088,212,595,671,105,773,150,562,827,260,703,611,862,999,025,983,880,493,631,
028,916,852,878,986,789,307,971,996,766,756,811,984,051,186,232,832,298,883,
208,082,175,322,904,742,342,003,878,004,325,769,220,176,750,701,931,956,045,
143,977,929,153,202,393,966,138,503,346,083,303,399,305,975,356,180,698,096,
122,100,378,233,820,111,630,817,895,322,789,136,058,257,219,285,368,801,088,
485,756,341,735,912,909,913,514,424,953,548,980,583,902,734,470,047,087,010,
816,479,296,275,500,936,163,661,524,239,392,207,034,074,086,480,188,713,221,
091,946,940,993,756,795,992,302,772,601,884,166,821,169,690,541,112,077,330,
104,196,876,477,610,971,291,331,828,803,507,294,959,561,503,630,428,932,431,
633,585,628,500,023,594,814,411,700,661,159,957,053,593,774,342,761,333,456,
213,255,645,781,038,895,965,041,104,515,180,613,577,251,610,371,701,980,942,
451,999,341,533,336,636,872,037,491,598,402,068,613,553,119,355,183,424,341,
010,570,299,460,624,329,739,473,487,835,509,898,977,391,809,501,932,476,003,
483,176,657,865,928,891,580,360,518,718,818,481,547,904,045,524,129,036,766,
232,681,777,013,328,679,134,200,486,519,158,705,928,320,295,803,117,297,106,
354,042,189,912,311,139,621,238,206,367,746,578,033,281,742,374,112,511,317,
374,527,538,900,761,882,407,772,383,180,008,179,206,413,243,770,338,450,405,
011,130,474,077,844,892,919,735,572,833,885,196,732,629,134,713,403,844,896,
858,073,392,475,661,379,397,572,147,568,251,658,364,504,683,227,423,372,227,
631,298,608,241,017,798,952,807,557,682,579,125,994,476,456,696,551,729,514,
015,127,388,958,375,743,404,600,686,510,577,811,960,481,486,132,599,961,764,
103,382,017,478,306,633,889,736,095,742,819,917,286,248,787,658,453,562,914,
651,159,844,984,117,607,498,729,568,516,364,640,078,150,183,877,775,291,165,
218,254,696,458,041,932,915,679,722,878,965,728,461,994,901,545,296,974,671,
907,310,453,099,047,388,400,732,286,621,168,017,741,547,342,851,132,945,027,
568,730,551,213,090,832,993,529,187,724,654,414,610,532,143,894,637,284,295,
476,833,967,496,238,660,794,059,583,784,853,320,910,306,357,076,095,935,528,
527,254,843,409,415,815,764,074,809,073,285,899,513,684,153,789,409,516,153,
340,900,097,994,341,110,633,407,637,418,997,232,178,568,355,255,920,157,617,
222,589,476,400,284,912,087,455,984,174,082,321,655,186,404,314,695,984,164,
913,100,879,009,847,297,452,052,851,650,594,416,240,484,297,042,910,802,360,
022,288,192,564,432,150,513,576,272,706,780,998,458,917,397,123,140,095,981,
875,698,080,901,482,393,439,761,977,889,333,970,502,103,468,190,717,628,025,
468,648,182,394,916,248,987,850,962,109,027,354,632,126,005,343,209,832,939,
307,708,629,185,927,395,969,620,180,136,431,007,155,436,777,661,384,474,072,
299,857,383,759,428,221,639,926,304,534,469,174,387,525,609,004,591,068,433,
925,942,062,469,252,651,482,341,372,082,170,251,360,037,708,364,298,401,467,
087,628,717,065,767,264,634,244,612,974,121,768,761,810,082,807,919,693,767,
073,840,163,946,683,844,780,674,561,461,129,131,369,783,005,598,091,272,077,
863,344,933,891,379,088,062,649,554,624,864,037,926,179,971,725,467,602,078,
597,614,294,278,094,120,019,330,921,783,640,214,899,248,154,440,061,838,412,
922,650,228,273,045,426,801,543,188,650,209,553,335,683,849,355,584,618,510,
963,056,748,490,345,860,661,421,192,836,732,360,735,079,701,487,549,877,083,
448,996,601,875,803,418,317,878,129,260,059,614,540,933,558,358,029,204,714,
527,606,544,483,409,547,149,688,861,248,033,424,572,850,844,319,456,759,525,
305,637,378,174,174,613,338,650,762,028,896,170,963,954,841,397,455,051,892,
862,825,275,781,287,519,658,362,195,633,881,718,039,360,768,496,218,626,881,
351,204,991,384,963,374,442,090,132,481,024,139,969,903,198,879,548,411,077,
431,200,674,682,164,359,790,968,572,539,411,763,866,899,474,941,223,250,190,
403,317,408,362,190,614,695,189,247,690,397,544,623,029,451,350,929,843,487,
032,653,030,096,635,712,708,839,557,312,634,547,225,804,766,621,435,023,830,
769,339,131,271,153,871,785,664,440,740,871,256,008,395,869,186,953,225,932,
485,744,334,203,995,497,923,502,939,778,446,530,528,182,951,674,974,220,888,
455,923,502,606,500,489,582,249,640,565,222,469,065,713,221,589,624,125,275,
979,039,540,495,214,599,191,113,763,559,373,562,392,232,074,990,591,560,482,
022,493,396,917,614,381,636,680,642,234,027,971,782,849,403,557,718,841,434,
075,856,339,727,813,875,807,890,299,553,257,619,628,223,873,669,372,359,024,
697,718,942,060,923,838,274,255,944,761,377,524,337,633,203,966,620,597,487,
523,000,008,286,097,119,719,645,322,963,156,778,067,631,093,998,736,343,912,
555,371,893,234,579,947,674,250,955,670,367,376,234,914,922,168,053,494,019,
883,307,454,222,222,121,307,228,770,280,994,887,359,709,058,613,924,728,927,
634,705,867,809,455,497,855,177,630,795,968,121,402,407,607,291,950,728,023,
870,819,607,592,957,642,505,118,138,492,798,301,516,059,811,338,328,195,268,
747,183,437,359,376,529,703,150,255,124,346,882,139,143,526,912,493,538,580,
543,834,583,640,686,716,491,458,927,649,239,307,598,454,094,287,357,780,116,
727,123,004,997,803,153,487,472,602,472,938,561,849,922,497,802,614,260,713,
491,154,501,787,130,164,300,137,483,413,363,203,524,217,337,169,355,941,874,
800,238,206,363,567,741,892,142,626,076,830,429,835,893,802,700,682,356,805,
798,954,510,385,557,810,453,635,613,022,138,911,888,040,211,261,877,984,047,
077,879,745,007,203,403,670,622,596,668,428,358,462,229,477,065,910,399,964,
253,596,223,824,360,093,396,437,145,974,855,159,841,501,270,861,684,751,502,
474,543,399,990,270,639,941,625,647,548,604,530,649,681,685,765,436,076,710,
342,396,425,396,268,228,527,202,236,591,263,980,310,673,498,104,665,146,180,
751,939,509,505,018,272,646,307,760,179,971,412,592,324,222,196,288,330,821,
444,668,403,010,383,740,725,656,249,667,916,260,927,595,422,339,953,195,553,
443,050,997,128,801,152,655,285,898,682,256,144,635,113,870,013,030,037,170,
818,453,052,340,121,111,907,689,813,484,722,317,991,862,069,021,788,735,484,
816,754,859,164,348,661,458,287,217,969,639,098,523,614,985,476,291,617,145,
815,510,470,957,408,017,463,012,672,577,271,402,147,817,584,598,043,255,997,
293,555,466,771,301,498,191,656,922,501,458,589,958,409,432,321,460,417,436,
418,074,807,802,984,780,082,613,620,533,721,647,213,264,961,940,545,633,997,
109,469,670,478,772,411,728,727,965,634,684,935,293,956,784,688,036,218,962,
775,805,588,296,487,226,416,117,583,034,695,019,807,895,937,759,577,264,940,
935,462,287,956,531,290,054,064,037,065,125,743,269,895,784,435,897,092,341,
396,941,442,527,585,542,913,048,115,308,470,799,543,396,923,014,505,442,079,
629,998,465,444,837,955,317,913,387,756,337,072,154,922,737,535,099,897,898,
026,508,635,591,362,959,192,812,216,821,711,209,453,713,989,592,929,989,832,
227,032,083,137,176,944,809,289,908,589,973,323,701,578,477,546,620,413,714,
132,043,495,753,846,232,896,636,718,127,521,149,844,077,721,074,106,627,598,
547,723,868,055,588,657,663,692,682,221,598,151,011,434,752,017,837,097,053,
784,759,178,393,323,833,649,633,352,452,436,453,923,451,631,304,663,950,541,
992,179,872,170,844,876,822,329,124,365,520,814,874,610,543,797,754,215,738,
651,571,979,527,901,496,996,254,004,190,535,901,106,285,290,385,884,587,749,
035,670,707,742,314,266,703,678,049,620,643,124,465,404,531,434,252,514,783,
868,120,413,196,105,641,798,999,975,445,278,215,531,429,442,567,063,383,859,
934,397,408,176,366,679,925,830,260,566,261,064,458,615,215,956,901,564,473,
454,220,003,578,249,574,956,072,041,663,990,312,282,791,960,516,339,362,345,
610,708,001,910,469,717,654,052,900,471,380,662,701,173,369,404,311,982,710,
116,344,757,919,681,417,328,263,777,796,247,223,254,895,099,090,272,972,095,
227,806,090,512,290,779,000,136,097,920,228,151,294,398,841,755,653,598,213,
526,392,397,106,891,156,109,495,733,882,534,370,188,195,229,779,097,804,083,
660,953,359,538,806,685,636,037,463,227,609,463,647,810,530,896,010,709,705,
482,068,730,038,161,008,430,492,292,397,880,165,316,295,568,456,870,788,374,
992,549,429,277,576,240,204,253,790,478,894,511,442,357,256,355,235,098,069,
873,241,918,279,078,984,719,006,729,402,773,067,353,068,048,314,958,517,771,
972,281,496,100,204,426,024,836,095,234,729,351,341,066,608,995,613,425,583,
178,369,397,626,462,243,764,742,264,800,365,238,885,303,045,189,709,462,174,
772,808,873,042,174,135,204,014,288,233,544,036,158,716,567,310,824,407,008,
131,646,028,724,455,246,653,048,474,535,182,451,754,063,080,168,416,063,767,
140,606,251,441,315,008,644,130,144,661,529,446,761,294,175,972,724,846,464,
594,878,623,376,984,258,109,889,519,292,146,541,071,561,034,362,900,322,228,
327,909,976,660,399,134,231,692,096,512,414,186,631,643,057,381,287,232,093,
577,313,013,469,281,171,879,652,574,205,978,584,410,666,372,136,413,724,984,
528,303,712,585,672,231,263,391,020,688,527,920,970,116,400,598,201,307,367,
023,458,211,762,018,827,195,522,677,267,155,489,326,107,516,220,895,440,678,
851,312,689,105,111,424,760,236,280,438,840,093,829,670,958,943,760,709,375,
877,342,796,233,269,102,782,556,165,613,879,119,655,889,599,726,336,306,614,
097,569,061,207,076,037,564,255,842,477,391,947,401,223,129,523,680,726,171,
491,831,515,573,613,311,402,641,259,874,216,222,861,732,102,710,021,972,804,
086,823,168,882,529,178,684,154,991,613,368,282,712,879,870,968,751,957,403,
817,744,480,563,272,011,186,568,841,393,964,995,491,711,276,311,438,088,794,
053,988,118,930,335,645,472,503,489,967,543,965,740,252,760,725,274,211,450,
840,660,821,638,975,446,031,856,686,254,377,127,989,995,198,732,658,785,014,
275,747,267,444,372,416,711,682,468,150,711,131,476,355,277,396,531,122,848,
033,851,761,226,498,334,884,872,407,747,604,815,153,074,475,789,740,163,366,
864,648,607,322,520,536,880,812,946,182,514,058,276,782,989,213,242,175,551,
392,593,699,885,941,677,462,331,587,348,357,702,434,724,831,673,973,473,602,
899,411,107,548,861,256,177,926,130,756,314,908,056,252,307,768,631,410,967,
737,332,785,035,488,798,287,863,486,620,640,500,910,493,251,741,264,348,651,
601,403,515,824,835,476,463,904,903,071,048,193,478,785,358,395,489,950,013,
202,449,575,692,078,022,607,046,401,957,247,005,503,881,308,726,906,323,548,
030,100,847,097,775,254,463,273,471,090,303,168,381,512,779,512,772,361,883,
849,929,049,275,971,614,049,760,249,527,102,158,525,042,948,117,907,751,340,
983,215,521,580,131,680,937,761,337,222,545,074,994,459,467,308,944,989,357,
858,157,869,368,434,283,879,578,046,768,502,609,196,302,563,556,158,754,481,
454,295,494,299,914,922,994,876,762,748,761,889,797,696,643,966,860,550,992,
179,068,722,667,985,919,410,855,038,075,169,528,682,778,871,990,238,025,438,
193,967,769,360,294,945,479,708,434,728,668,672,521,411,387,710,384,067,072,
227,103,712,426,932,059,392,340,427,742,252,406,624,685,840,287,224,681,363,
436,972,756,676,047,784,739,303,142,077,088,158,819,187,505,705,778,611,792,
856,927,910,684,947,876,906,196,501,337,016,243,205,956,397,811,305,499,344,
349,758,142,770,324,507,584,527,947,049,250,272,155,746,274,512,444,734,821,
691,712,170,283,066,645,840,602,237,099,978,746,356,995,916,106,443,615,703,
108,730,831,086,510,987,635,273,895,659,889,745,500,603,219,841,020,975,510,
694,046,545,861,184,486,237,075,928,247,385,618,397,059,043,080,969,491,754,
455,226,134,426,939,113,608,125,409,762,822,436,485,651,124,422,397,306,414,
995,029,395,058,485,854,659,842,996,995,072,831,106,966,530,457,223,369,065,
282,641,038,416,359,592,256,826,194,549,051,522,281,258,879,907,371,570,713,
305,668,543,003,301,231,958,082,785,880,518,732,102,008,676,073,627,848,246,
672,280,291,278,038,523,101,616,938,535,896,701,803,228,332,520,816,943,045,
539,483,434,953,262,309,114,518,400,377,450,188,162,785,302,873,899,771,858,
438,720,024,320,981,404,819,068,773,324,077,105,108,943,265,018,574,207,729,
284,051,030,364,273,680,285,587,680,528,199,820,542,381,769,893,262,567,289,
989,075,821,183,292,388,211,896,452,247,512,497,558,898,686,116,821,936,121,
484,544,803,849,760,541,654,664,703,702,626,444,251,788,958,275,172,406,978,
178,308,870,751,064,567,478,919,743,639,259,892,037,966,668,159,414,502,190,
661,592,081,358,780,348,797,381,131,285,315,446,218,837,772,769,020,582,966,
087,067,926,632,665,234,069,058,226,216,209,633,645,219,002,086,634,911,560,
219,661,892,370,503,853,874,157,622,722,285,751,801,767,077,882,638,943,045,
428,440,646,856,233,552,927,958,112,709,051,246,730,923,759,645,646,148,950,
838,245,764,692,071,951,258,582,238,433,100,810,312,849,302,690,611,341,541,
233,146,065,473,733,693,361,665,667,810,781,612,689,414,909,340,117,548,914,
573,397,309,230,498,878,070,707,930,023,073,419,683,345,447,760,593,728,445,
030,519,292,374,453,340,217,255,798,359,196,787,467,098,115,768,817,855,830,
620,755,764,046,150,456,764,156,416,095,600,803,071,232,279,848,630,701,560,
199,549,177,224,157,496,420,195,531,808,072,861,733,895,462,244,803,581,405,
517,014,207,368,972,236,073,705,398,140,283,285,844,524,289,314,124,006,145,
313,383,160,474,083,297,242,742,059,172,587,968,442,027,798,765,732,365,595,
985,425,176,020,324,216,404,193,355,948,759,570,279,972,794,120,742,584,631,
208,721,483,581,409,982,827,219,373,754,946,035,734,225,422,041,915,742,653,
759,916,580,553,847,987,245,967,860,719,844,674,084,093,505,079,921,278,198,
989,659,820,366,663,182,088,397,174,481,262,634,497,721,362,834,566,317,393,
819,329,649,949,662,239,587,328,156,941,276,041,859,570,046,589,177,828,498,
812,107,903,884,847,281,343,102,351,395,323,394,192,852,442,222,437,815,254,
515,318,918,644,762,816,056,764,651,176,186,690,958,385,890,958,159,266,083,
296,409,070,930,482,397,401,361,491,984,966,803,527,204,720,879,784,035,355,
704,313,885,817,221,287,315,634,658,255,574,452,766,187,882,309,974,506,237,
071,579,604,824,632,316,268,043,061,294,614,062,557,476,297,812,796,018,894,
675,291,775,522,577,304,129,167,332,777,327,314,203,722,627,089,061,566,274,
009,872,465,702,082,544,304,938,575,378,792,241,595,130,568,501,862,093,068,
147,666,795,356,459,519,353,196,644,830,381,749,850,149,204,330,568,618,353,
912,280,686,298,209,992,582,043,847,770,218,151,049,006,288,633,814,123,557,
355,145,082,954,591,710,847,110,813,214,145,309,533,135,691,422,722,534,199,
351,534,724,484,658,635,649,880,743,249,126,487,958,714,985,868,765,912,447,
529,252,510,485,401,083,077,707,778,026,656,573,175,255,574,413,277,763,438,
174,225,448,598,798,050,267,237,582,060,909,627,711,518,800,878,472,539,489,
256,747,779,154,869,394,410,605,787,573,219,538,088,693,979,498,404,068,092,
005,839,015,558,985,701,070,221,850,979,700,804,286,735,710,233,923,571,965,
152,076,223,824,189,707,985,762,452,935,175,595,390,022,265,422,746,000,934,
175,571,119,406,386,621,111,216,221,155,221,708,662,697,398,094,725,729,412,
235,469,895,605,234,129,652,852,586,841,747,900,090,147,219,405,275,836,335,
075,031,698,674,438,011,472,899,905,489,501,502,335,708,191,803,191,458,342,
196,242,925,799,678,595,833,814,906,930,437,722,719,065,443,641,540,952,752,
705,699,535,150,972,643,459,368,267,898,420,819,016,792,874,239,219,873,208,
908,687,836,019,975,636,452,582,395,024,514,340,547,862,392,769,778,616,818,
363,004,654,853,590,658,706,676,835,496,278,382,972,750,917,076,407,012,240,
994,925,743,882,759,313,679,040,433,730,795,530,070,393,256,379,566,944,845,
925,320,874,618,543,848,438,772,235,901,247,739,942,288,054,827,273,348,659,
242,560,477,211,878,842,374,836,503,075,295,668,754,080,489,927,002,744,142,
140,753,867,501,349,739,089,371,124,587,105,342,871,858,499,952,739,876,806,
790,172,559,331,849,023,755,675,025,111,517,388,580,976,332,320,633,507,236,
772,874,817,249,786,922,253,041,263,956,816,456,003,891,616,054,800,188,115,
283,547,079,497,171,841,527,918,630,710,212,359,197,263,656,971,593,333,188,
329,668,043,044,099,472,044,791,157,485,014,942,098,675,014,848,067,235,320,
502,776,852,429,452,164,189,443,215,538,800,012,887,230,587,288,242,041,381,
476,080,503,790,617,728,219,981,851,683,051,540,184,443,776,213,905,861,136,
719,426,115,721,641,345,636,039,856,187,558,067,271,720,553,568,893,711,509,
636,144,417,482,393,390,299,471,561,970,363,246,313,716,680,712,027,386,013,
297,533,223,144,969,701,736,136,037,129,848,282,270,786,234,171,097,823,016,
979,374,234,350,782,148,815,768,033,490,129,392,951,318,246,538,304,316,036,
937,342,824,813,740,067,515,982,236,903,399,747,792,589,268,521,148,458,440,
190,857,902,737,006,451,437,172,787,499,749,505,572,870,148,441,191,725,075,
748,038,530,676,301,111,996,142,243,956,321,814,288,601,179,266,881,118,548,
473,157,940,959,793,583,023,980,054,805,290,805,577,462,158,315,564,920,867,
555,796,575,043,142,930,945,734,113,244,796,545,165,759,192,022,340,961,961,
544,432,542,268,839,042,567,436,698,939,367,854,525,670,343,071,967,763,635,
549,048,845,222,846,510,335,949,982,439,961,954,219,048,142,161,361,765,637,
341,690,626,242,608,108,464,733,693,333,942,682,690,306,400,277,646,601,447,
493,000,797,096,046,203,381,277,638,437,910,078,215,797,614,792,550,734,231,
420,081,139,293,328,938,834,201,822,010,230,259,591,503,843,828,783,934,676,
706,064,669,663,342,057,991,881,062,487,259,511,532,539,163,001,784,404,269,
251,779,488,432,919,142,851,353,670,162,686,107,926,985,296,125,951,863,893,
975,414,500,474,789,569,869,410,859,350,176,874,862,824,674,083,129,162,055,
150,989,506,891,979,350,057,008,416,592,703,600,551,354,052,457,281,886,643,
971,638,390,341,757,146,848,671,854,958,888,155,492,278,480,998,637,603,304,
194,405,684,588,806,045,905,177,054,492,453,887,137,549,787,225,391,942,209,
343,187,589,238,385,714,245,951,101,780,962,923,999,863,520,042,363,495,577,
148,225,518,608,861,363,987,763,297,823,952,414,037,650,976,746,427,468,633,
619,652,566,830,149,873,075,082,151,324,022,084,290,334,744,830,793,342,539,
606,693,118,650,746,353,236,961,128,203,900,490,039,873,044,245,928,346,987,
578,337,519,557,486,218,271,679,367,295,731,213,950,495,192,940,279,765,555,
702,565,019,567,692,372,529,806,741,597,450,428,748,799,934,195,727,496,141,
947,069,237,375,895,126,673,546,683,738,475,382,478,835,194,458,825,741,873,
022,827,365,499,083,860,006,038,575,444,339,015,766,946,140,096,908,840,904,
098,820,500,940,084,777,623,394,285,427,904,398,628,424,797,616,872,726,530,
120,330,107,145,197,540,952,587,649,967,481,219,034,430,663,463,375,178,188,
293,023,576,313,450,227,342,481,924,619,385,074,215,760,977,615,122,687,617,
507,470,761,406,110,717,854,897,119,857,737,093,576,710,428,139,546,815,533,
965,180,156,804,741,604,358,462,578,976,729,183,177,109,565,130,965,773,979,
849,250,104,640,111,283,903,501,270,527,680,679,325,006,447,114,548,484,188,
394,739,972,975,750,148,329,427,018,275,755,077,610,330,390,954,806,177,797,
398,731,248,846,443,416,433,268,918,007,430,089,978,212,006,914,605,367,218,
855,598,567,321,757,496,547,907,336,795,434,935,543,335,339,806,425,581,071,
169,359,320,643,501,602,112,616,400,252,631,043,403,311,959,145,518,059,684,
456,044,596,548,274,731,704,390,865,335,010,115,939,058,986,490,203,722,315,
707,632,223,381,772,677,850,830,161,301,180,976,137,452,814,133,487,446,516,
539,180,217,549,493,309,496,132,516,181,512,378,484,763,965,319,067,355,025,
620,056,746,908,522,832,510,513,913,928,115,321,980,706,596,201,370,790,242,
518,164,450,235,637,371,239,471,008,282,474,366,383,435,934,708,931,460,724,
461,472,801,345,314,500,521,955,737,704,125,560,994,990,448,391,587,269,066,
266,405,166,869,262,479,221,625,927,367,884,268,855,474,106,971,936,502,652,
267,795,927,370,941,452,721,729,691,745,732,563,412,379,637,468,305,868,332,
624,392,507,658,889,103,638,205,602,391,531,664,560,771,239,591,867,167,828,
488,156,799,343,277,914,954,232,876,485,313,239,966,376,190,673,083,138,933,
899,611,838,703,599,729,300,918,627,870,992,852,211,012,212,241,992,350,306,
653,848,520,552,558,165,827,839,164,448,763,643,265,640,386,202,859,139,080,
855,008,669,531,017,132,179,384,244,894,972,237,093,036,307,752,288,817,505,
659,816,831,689,566,701,278,075,602,676,987,802,792,224,608,916,924,345,313,
291,491,827,379,992,861,529,327,940,708,498,674,090,671,302,069,221,192,366,
834,445,700,861,846,507,299,723,552,137,730,498,272,440,289,333,194,852,912,
449,797,063,730,377,683,553,747,699,620,822,924,970,003,419,445,915,823,154,
602,573,883,391,352,259,056,541,399,255,265,493,000,119,953,486,503,076,889,
416,460,903,555,730,683,982,372,971,021,250,836,631,270,486,009,043,956,378,
484,778,318,913,036,832,652,984,379,735,411,970,903,072,982,498,348,293,501,
760,717,535,674,217,474,961,142,046,770,933,223,344,576,319,191,057,866,700,
622,583,387,129,306,130,614,356,183,453,693,426,074,961,484,870,323,620,947,
813,842,727,977,882,394,039,978,765,926,601,155,739,920,412,874,866,274,499,
217,934,714,782,666,262,785,832,927,812,397,132,166,395,933,489,362,559,822,
427,346,543,692,632,900,416,405,711,392,207,194,876,183,798,691,846,076,501,
980,722,817,549,967,782,260,537,892,512,962,107,631,841,305,645,691,656,588,
673,723,119,491,255,970,862,906,234,494,171,904,277,351,115,349,020,497,929,
636,366,192,634,900,435,809,625,956,885,550,332,471,347,783,004,993,227,898,
410,959,485,807,455,568,011,401,351,883,824,179,395,385,088,900,588,291,668,
902,212,296,412,065,748,998,802,168,144,984,032,645,435,668,201,155,911,863,
765,333,997,634,830,813,950,429,380,408,245,237,494,488,405,035,130,557,123,
347,912,290,533,955,984,240,526,824,191,919,861,804,984,803,819,457,402,562,
914,410,924,134,973,340,576,995,501,772,107,282,383,390,817,226,552,670,788,
331,742,880,150,967,649,519,752,530,662,548,244,774,845,742,105,208,304,248,
213,849,213,588,006,455,637,438,816,255,999,617,071,586,191,915,392,686,778,
748,854,169,402,191,441,155,971,588,871,230,890,158,974,033,337,530,244,448,
134,959,989,916,910,261,062,097,862,872,676,071,176,265,807,829,265,120,792,
785,322,440,009,245,006,340,654,687,118,433,158,477,124,947,149,226,234,195,
096,110,662,287,543,425,118,818,764,112,577,834,108,291,149,421,333,909,125,
487,350,620,569,411,172,314,781,296,621,361,318,929,991,989,077,329,156,624,
706,165,605,376,571,909,178,615,644,987,652,171,440,783,860,040,355,782,035,
802,067,231,246,445,358,588,499,601,364,104,198,977,773,499,795,355,574,420,
690,569,820,487,768,378,650,706,730,176,825,132,434,882,687,341,962,060,996,
880,663,952,394,603,755,160,532,394,115,062,431,258,834,687,690,454,608,403,
970,223,162,826,736,982,671,826,478,861,757,287,400,161,094,223,797,948,342,
449,843,437,119,696,251,025,168,642,950,673,671,395,999,018,904,207,428,987,
727,174,836,049,751,394,501,586,570,809,423,373,775,413,529,891,015,125,909,
605,573,021,241,124,991,591,504,473,508,061,025,271,667,346,169,838,151,694,
422,615,456,678,284,014,460,780,545,961,616,849,315,178,093,269,297,338,249,
358,492,476,615,673,061,394,282,363,691,020,714,686,219,201,907,307,254,475,
001,912,332,680,773,114,788,207,627,497,675,263,142,163,835,072,538,597,434,
897,615,335,508,934,534,012,061,714,562,762,241,738,335,344,964,130,958,276,
604,740,910,019,573,711,617,022,308,328,411,592,896,677,520,383,932,143,732,
234,698,334,508,700,757,131,403,266,814,568,702,735,353,614,476,173,949,525,
077,219,547,531,620,523,927,856,604,164,592,754,876,640,563,238,577,748,447,
264,929,307,705,781,138,218,353,575,553,055,981,217,499,917,871,995,247,926,
833,857,351,081,028,925,769,635,764,111,352,057,552,355,104,098,454,785,964,
953,936,395,034,532,689,057,222,552,660,988,222,202,785,104,882,302,346,761,
608,071,159,796,477,389,157,332,173,391,134,760,989,550,294,448,068,012,303,
357,811,771,770,846,955,318,666,040,928,039,092,727,594,241,164,629,362,197,
548,853,917,121,852,046,392,953,463,028,233,274,199,689,794,964,356,193,808,
145,460,915,702,532,756,751,930,144,403,325,500,060,788,834,543,093,985,409,
558,883,032,874,837,020,153,832,566,538,231,626,695,637,625,582,067,361,477,
922,425,535,917,390,459,985,853,064,755,099,076,194,666,376,846,490,372,495,
927,642,800,763,253,346,626,237,641,155,834,925,897,557,564,675,180,419,540,
830,992,470,468,214,781,643,967,300,935,066,731,385,857,172,862,018,993,577,
912,133,506,024,611,179,685,241,618,271,926,908,228,120,723,332,576,520,504,
300,454,752,377,225,567,935,202,035,376,451,618,171,954,268,462,529,377,359,
765,990,923,844,918,862,163,961,429,082,671,117,295,634,690,558,610,907,022,
445,364,093,074,378,179,166,960,186,352,066,052,611,249,410,687,229,665,312,
505,805,254,435,056,640,457,131,328,872,242,917,636,411,940,356,000,886,021,
806,422,588,875,275,704,896,619,047,178,393,734,543,869,781,112,955,623,779,
426,854,890,146,799,751,789,810,820,114,009,329,792,706,165,480,341,885,449,
232,363,860,618,116,720,684,192,022,794,473,202,445,953,075,715,548,208,907,
467,963,591,582,302,579,185,189,637,319,293,285,969,342,339,214,357,287,243,
724,620,900,094,371,782,305,044,444,389,570,183,712,350,864,897,052,109,068,
045,451,741,979,652,631,997,569,257,831,937,523,334,465,533,580,729,902,633,
573,985,678,408,971,356,384,004,236,723,633,643,062,057,542,516,412,389,158,
695,988,369,496,995,519,746,787,478,799,288,579,129,821,744,430,212,642,165,
149,755,810,739,984,439,619,586,295,872,867,507,411,926,432,112,695,308,407,
466,763,872,371,596,004,111,828,063,314,463,831,867,343,283,289,508,946,612,
850,171,260,620,124,579,302,818,905,775,520,862,791,174,457,787,408,294,803,
922,693,492,391,026,314,736,728,830,535,364,056,914,919,926,893,629,085,886,
807,812,710,700,589,777,428,996,793,978,156,616,737,426,449,990,561,310,059,
095,186,565,079,388,156,542,676,792,597,579,815,296,193,904,359,512,996,026,
942,527,308,792,691,819,928,216,840,569,685,874,559,477,204,000,104,602,582,
990,595,275,938,258,095,511,842,938,575,950,658,898,812,692,742,631,412,110,
173,066,243,115,386,527,157,169,331,672,795,914,034,893,085,649,109,805,527,
358,423,629,851,626,222,257,487,331,629,694,056,879,658,602,723,683,200,402,
902,499,253,431,058,219,178,585,394,550,299,310,854,152,254,339,046,779,210,
227,225,520,750,199,057,422,867,120,648,594,627,274,717,223,631,691,046,054,
172,444,449,659,567,808,964,305,742,118,660,156,947,841,398,653,516,120,451,
172,974,554,169,934,198,822,976,062,369,458,863,100,297,210,018,924,351,841,
518,718,704,601,629,582,192,219,008,047,661,884,360,555,100,834,517,932,133,
152,573,529,478,794,126,989,792,392,641,738,220,109,572,431,922,979,385,626,
996,615,889,340,628,600,973,709,484,838,480,488,342,586,306,596,668,337,922,
341,100,679,183,138,292,290,218,639,507,766,445,006,226,041,770,209,615,793,
746,888,619,177,691,710,544,940,016,031,173,143,262,495,649,939,050,492,332,
820,399,653,788,089,406,202,624,082,147,183,140,814,403,236,387,789,072,659,
972,250,351,709,014,471,101,158,688,243,946,741,871,085,506,870,850,525,967,
680,122,684,490,057,885,276,081,887,876,215,194,982,067,292,397,783,112,041,
998,585,110,126,035,076,865,927,128,916,466,530,260,499,824,847,069,088,278,
024,942,883,027,350,737,421,585,109,431,216,449,403,208,478,448,533,807,471,
412,772,755,503,662,337,083,239,085,007,332,437,622,438,808,542,575,105,243,
109,085,597,913,243,845,901,405,745,954,520,768,811,799,067,801,319,382,598,
056,125,916,406,315,298,116,909,453,979,659,398,260,042,918,079,697,394,020,
623,008,899,637,407,058,508,743,206,695,767,293,526,979,066,679,614,987,923,
303,610,729,935,741,994,778,437,144,329,411,841,723,780,348,020,222,027,730,
812,705,220,620,159,698,553,067,428,420,836,628,146,473,073,190,694,590,496,
351,962,927,449,141,595,485,500,102,211,476,698,039,613,742,588,017,196,523,
603,893,297,101,752,546,447,297,945,434,833,178,419,911,759,611,533,537,377,
224,174,124,669,980,387,727,533,762,444,316,548,897,296,750,556,106,804,220,
430,354,668,786,512,882,807,618,487,185,719,523,276,075,917,638,181,826,489,
655,952,499,616,182,560,155,412,443,764,199,314,907,295,587,548,809,164,852,
421,006,181,722,193,181,995,469,124,289,954,349,122,033,851,669,162,616,394,
343,894,130,837,979,287,771,027,904,979,001,201,706,656,063,962,158,852,701,
864,454,803,275,148,897,746,736,048,065,025,652,325,304,277,604,626,256,161,
783,192,854,340,229,367,214,316,172,785,215,841,275,049,203,046,486,165,936,
039,598,383,493,220,466,614,739,891,711,735,852,534,545,039,704,969,230,546,
244,305,674,590,358,363,533,237,802,185,765,755,835,993,769,762,495,481,141,
920,055,328,456,797,923,758,309,293,991,571,296,617,101,124,251,842,436,514,
997,499,338,319,398,598,190,224,714,807,209,972,748,324,625,406,500,170,073,
874,626,582,804,444,154,750,696,714,823,397,088,498,154,631,924,926,648,273,
216,915,939,179,437,176,725,183,439,823,390,874,862,286,219,006,733,517,578,
949,374,027,585,516,428,151,868,967,570,506,779,239,338,779,663,728,050,453,
581,996,581,812,910,287,131,665,397,404,085,251,703,387,833,227,179,348,515,
901,296,423,388,987,742,320,026,554,049,509,016,681,519,951,495,171,563,488,
819,044,534,156,920,993,546,470,609,243,318,957,497,091,737,782,871,998,175,
509,223,165,195,830,366,867,505,957,737,600,444,058,570,388,678,822,155,630,
061,460,955,959,120,696,285,822,527,110,834,372,038,800,444,370,665,925,421,
584,374,246,584,905,447,217,686,516,344,479,586,499,527,828,370,714,659,665,
313,298,657,815,524,489,634,048,962,209,335,630,350,511,312,716,934,544,715,
969,419,771,489,222,817,254,809,610,593,832,298,821,125,506,390,071,310,206,
905,796,581,249,064,289,863,107,588,116,794,210,365,028,123,410,327,477,428,
117,691,346,513,551,744,958,966,833,430,519,688,351,502,426,824,154,548,569,
263,162,026,996,696,315,706,389,221,235,871,659,386,507,876,731,697,894,717,
447,404,223,964,925,800,578,640,851,732,460,395,366,940,414,153,627,217,991,
867,042,409,777,128,518,857,260,662,416,162,993,592,602,761,201,815,731,210,
646,250,167,273,138,411,765,571,339,469,024,788,730,758,634,070,438,485,660,
849,012,027,068,677,472,371,541,007,358,204,779,305,069,702,017,958,541,517,
241,771,111,838,267,328,061,094,604,934,013,831,117,334,265,295,645,175,535,
889,316,568,490,175,212,799,783,313,333,472,030,912,349,946,419,435,269,082,
521,301,355,316,268,698,101,431,881,971,869,728,969,889,884,204,979,770,677,
751,492,029,294,777,579,112,998,886,838,965,104,291,508,446,713,043,339,141,
437,175,494,644,403,464,344,784,394,442,388,631,912,682,697,806,308,871,177,
217,245,787,566,298,255,462,819,312,663,063,177,948,974,290,714,025,603,352,
075,577,685,690,463,012,994,494,389,224,535,468,560,045,991,492,231,431,652,
502,894,540,112,230,194,101,482,247,214,471,528,456,491,599,291,814,675,713,
606,526,336,312,317,929,843,048,617,219,906,139,624,926,132,572,100,153,296,
788,178,068,607,306,401,083,875,590,437,982,910,557,246,272,242,359,680,190,
329,860,623,100,783,383,773,125,784,875,996,917,286,633,228,804,624,362,526,
795,651,841,000,061,684,360,494,166,940,758,292,059,184,683,061,329,314,308,
237,819,322,787,023,697,472,835,219,827,395,683,561,544,505,909,853,376,386,
707,828,545,272,829,817,035,686,922,497,586,455,018,987,492,445,710,802,553,
678,832,287,645,306,422,143,136,162,552,681,740,005,075,017,158,676,369,204,
283,791,878,611,968,548,428,286,790,480,237,782,102,353,616,450,352,216,192,
409,041,201,580,757,014,251,895,038,318,709,131,111,362,015,632,977,561,066,
215,384,103,807,221,348,566,061,687,520,772,488,426,370,262,270,606,685,078,
598,171,465,137,019,203,731,956,871,359,764,952,770,646,008,688,292,169,991,
699,991,929,937,130,210,672,669,563,030,139,504,485,930,396,798,618,604,155,
971,503,009,505,988,746,399,867,752,147,783,164,249,477,846,691,434,216,824,
671,583,629,252,232,369,214,684,092,763,583,103,085,921,842,423,418,101,738,
895,761,393,994,037,314,634,246,825,816,718,038,095,831,854,820,356,269,814,
206,345,916,456,888,598,438,006,657,584,619,536,648,502,914,180,829,294,603,
617,782,686,286,903,539,774,387,890,053,765,677,133,935,784,506,116,851,665,
913,318,664,522,621,443,226,304,662,395,683,448,541,153,125,995,928,932,983,
989,699,643,543,082,498,594,668,853,020,385,240,080,800,227,287,788,335,886,
052,486,844,700,043,168,423,858,368,191,440,569,338,050,151,691,779,188,636,
196,055,978,739,960,087,185,134,020,415,703,762,681,869,434,225,447,223,995,
647,159,024,850,753,641,996,428,875,674,107,114,397,591,905,548,906,278,308,
257,046,050,598,512,394,113,957,221,217,394,802,712,842,956,596,350,602,554,
774,538,168,828,232,612,082,122,199,564,882,053,062,338,901,074,074,231,500,
356,194,016,692,071,518,095,411,559,277,820,464,778,787,367,407,845,098,643,
596,618,784,819,998,562,904,713,072,030,379,213,773,943,287,008,578,535,437,
442,504,474,643,356,390,198,832,028,401,524,889,218,941,933,930,240,334,653,
698,423,700,813,102,920,968,032,279,642,776,874,072,024,826,644,999,174,414,
198,932,988,896,311,224,612,185,399,116,533,478,508,334,967,370,153,270,152,
802,315,165,058,833,618,966,650,550,642,004,131,961,984,677,063,393,998,094,
125,182,978,575,163,960,322,940,518,517,841,220,067,121,901,175,323,897,384,
405,284,738,946,921,596,853,465,330,611,555,817,857,185,022,818,479,373,377,
191,373,059,436,491,499,679,307,193,285,309,023,829,118,894,444,833,157,161,
202,320,387,323,821,387,813,553,941,392,571,290,756,512,484,818,962,770,111,
772,624,532,153,183,809,371,287,159,631,940,835,227,309,186,213,525,927,688,
182,622,196,494,425,104,057,050,487,769,009,603,083,498,792,350,379,684,399,
496,101,737,507,655,052,839,438,173,833,351,060,168,058,764,563,591,603,372,
320,736,138,966,377,526,315,166,199,884,489,090,814,251,386,626,013,052,192,
505,722,588,312,913,707,742,425,110,879,040,927,108,232,991,947,768,661,529,
495,671,475,747,930,345,726,144,558,570,818,585,413,913,291,737,529,063,382,
015,541,425,511,912,890,937,338,396,913,415,749,989,547,287,447,853,604,893,
725,800,054,690,854,282,718,373,482,478,861,744,856,694,724,897,449,995,016,
972,601,948,350,567,264,929,974,334,151,718,496,979,339,066,137,930,201,445,
593,052,680,218,759,060,504,540,364,848,132,643,457,225,349,195,009,186,970,
052,087,557,527,988,526,489,556,053,648,648,929,413,671,678,032,954,737,009,
661,165,278,254,592,555,076,195,325,939,509,552,767,785,602,762,107,493,805,
565,777,860,981,360,895,790,487,893,002,589,681,676,503,652,347,287,396,232,
985,163,632,567,817,431,499,582,908,260,434,274,643,316,846,805,136,918,314,
299,749,340,642,462,363,269,257,261,002,334,734,641,266,186,789,284,844,748,
565,270,545,622,305,827,949,539,453,240,121,065,372,104,130,686,785,298,248,
605,377,065,922,712,148,631,104,638,292,398,134,087,200,023,502,817,843,443,
346,138,453,655,206,333,043,978,950,703,919,789,663,568,848,107,405,483,332,
044,767,248,658,311,098,711,419,749,187,718,344,686,917,729,434,919,793,831,
414,146,215,022,125,402,138,872,724,086,431,334,089,417,944,839,708,529,030,
223,492,110,639,444,803,716,248,735,380,890,643,962,740,475,198,277,000,747,
398,729,401,496,618,652,652,624,753,468,686,490,569,597,623,531,019,897,673,
848,564,702,513,637,106,217,280,596,712,146,024,272,323,273,781,215,985,735,
973,170,320,948,031,282,318,029,890,496,897,946,633,468,167,549,398,826,256,
611,454,231,372,909,079,875,692,969,913,642,178,052,960,071,357,244,625,835,
705,378,278,916,331,531,444,040,789,123,746,162,193,792,310,831,558,187,453,
916,875,744,670,830,006,109,707,342,170,010,168,252,759,074,167,603,425,449,
687,588,437,677,807,959,931,418,373,558,594,148,587,141,102,749,995,721,606,
697,593,167,040,831,122,601,363,427,628,465,179,871,978,582,042,637,642,431,
138,998,222,882,685,446,813,605,025,436,526,480,462,279,788,776,338,812,568,
841,058,482,769,967,601,319,715,756,667,911,307,350,161,808,636,568,080,252,
738,888,576,841,451,463,614,734,041,165,260,822,025,790,351,176,732,818,897,
863,164,896,247,346,683,684,635,750,500,460,956,480,590,874,122,113,597,187,
897,553,420,584,560,253,120,111,976,913,832,950,239,173,713,031,663,207,052,
269,269,827,286,445,378,685,215,478,908,130,199,042,886,395,892,265,943,898,
785,583,705,852,165,779,426,362,997,431,985,471,450,944,187,721,574,158,180,
951,540,986,177,209,096,740,023,613,216,606,772,873,130,542,815,488,650,849,
283,987,714,401,953,795,487,527,527,239,612,715,056,961,525,542,698,196,024,
551,104,186,596,558,716,017,681,574,916,813,462,597,610,335,410,808,249,261,
890,076,302,515,783,153,249,161,233,929,712,636,125,237,823,923,950,105,775,
099,980,428,018,927,434,128,896,890,772,681,865,257,499,401,010,577,892,089,
165,695,580,310,997,997,831,793,223,987,944,154,847,187,494,422,972,354,476,
158,263,426,057,012,642,320,142,634,336,682,643,561,632,896,426,034,447,381,
133,628,090,118,017,977,413,083,302,038,366,493,857,719,126,545,990,860,411,
629,919,188,741,809,820,781,936,586,693,543,308,129,220,185,422,362,285,573,
633,539,767,616,474,487,297,489,519,014,735,507,885,717,120,710,844,444,871,
453,306,188,246,761,584,447,530,819,521,244,062,758,523,129,124,562,561,359,
441,207,016,081,779,361,616,340,627,863,108,020,538,167,730,090,678,122,164,
666,904,756,058,066,990,198,277,706,030,789,083,025,873,448,600,658,476,496,
831,540,003,563,209,931,119,088,773,906,636,381,970,991,088,825,868,270,903,
379,630,639,746,223,468,597,600,598,945,759,500,971,860,269,145,452,730,192,
850,381,309,121,252,149,435,570,621,008,766,358,197,257,930,170,349,287,238,
075,237,845,581,950,908,282,200,854,643,482,918,902,802,431,539,769,079,741,
721,510,743,818,658,493,761,620,712,320,417,917,566,617,681,536,201,267,386,
338,140,291,190,831,023,014,893,930,146,676,305,021,035,796,901,561,060,973,
707,020,892,211,615,739,412,069,053,179,128,957,329,519,312,716,401,059,336,
403,146,062,021,034,840,299,379,070,847,063,871,912,234,090,035,107,464,967,
280,334,163,264,246,913,709,575,795,742,295,853,983,614,812,064,992,662,256,
141,473,060,497,230,311,176,204,911,798,273,887,909,710,716,595,483,932,873,
149,168,320,794,585,331,071,356,918,049,307,030,689,793,735,487,587,162,401,
294,044,070,207,700,541,570,537,042,787,746,437,600,038,528,296,380,417,572,
529,623,180,189,442,438,182,387,374,741,469,521,663,598,205,606,892,486,655,
558,330,818,477,347,907,654,154,195,256,178,725,057,637,811,878,473,040,877,
647,215,118,057,866,990,920,008,278,634,626,171,082,818,289,695,013,535,675,
842,073,869,283,884,108,939,098,939,946,535,409,423,925,133,866,989,907,575,
191,778,375,688,104,125,379,693,406,670,312,066,660,041,600,131,634,578,289,
981,000,540,340,827,470,734,188,362,320,979,711,229,538,823,750,176,142,650,
235,874,689,292,572,015,846,448,225,997,480,653,273,114,824,067,461,482,675,
468,672,184,625,563,786,150,473,979,486,311,124,159,527,501,555,607,930,163,
616,887,975,561,527,503,064,364,593,155,240,150,938,126,565,717,387,561,449,
130,883,939,309,532,721,080,747,605,772,770,334,650,563,985,929,927,491,058,
183,289,422,960,545,061,521,155,998,663,043,368,376,976,796,058,605,514,725,
319,346,992,932,925,999,829,050,314,094,121,640,176,143,723,784,600,369,286,
353,618,500,754,556,373,650,146,534,701,343,541,990,785,928,671,891,779,929,
911,507,573,427,359,242,084,463,323,021,286,740,493,782,660,637,226,008,354,
198,291,202,366,263,602,405,081,682,536,134,386,712,681,726,935,895,136,011,
459,347,495,375,448,302,249,895,063,547,189,908,772,623,141,316,041,475,494,
487,500,966,220,825,524,829,866,193,169,302,712,146,436,675,381,377,948,070,
429,395,558,196,999,246,891,794,886,272,908,518,966,880,347,551,694,705,129,
959,853,755,334,521,842,716,103,593,731,672,856,114,561,074,757,203,477,838,
296,466,961,511,847,367,124,668,448,165,976,079,804,293,345,021,365,630,748,
644,252,802,389,794,835,500,652,524,206,696,634,188,942,256,297,361,353,829,
567,160,287,239,859,510,275,907,387,319,985,159,199,980,871,007,221,566,806,
689,454,083,270,504,622,854,343,760,591,986,103,126,098,083,124,395,915,407,
387,352,828,514,230,304,153,091,311,655,411,441,664,408,357,806,895,569,823,
596,828,705,826,305,566,007,301,054,064,689,553,244,371,343,012,786,024,912,
340,417,605,971,627,197,447,962,865,622,863,016,388,242,930,307,549,819,419,
754,686,666,148,003,086,720,212,295,188,759,979,297,170,807,371,771,945,456,
841,947,761,226,141,844,620,168,099,358,924,323,688,056,622,752,873,935,694,
617,093,451,603,939,503,347,864,593,042,251,210,185,302,748,469,562,379,906,
428,342,937,475,238,020,380,911,939,116,561,586,280,228,401,219,433,507,147,
680,405,151,861,349,732,226,227,604,370,172,041,906,941,215,706,748,647,616,
064,860,636,081,978,402,249,133,779,293,006,533,257,735,523,795,487,585,915,
565,717,660,613,342,609,115,728,642,751,669,510,685,726,547,661,850,959,740,
180,109,136,237,075,783,122,564,579,736,829,073,017,105,152,318,066,715,140,
974,453,997,199,109,703,016,027,256,022,030,734,741,896,477,456,391,741,415,
160,624,722,807,301,594,104,736,815,333,730,103,020,942,518,686,444,879,784,
955,376,543,813,011,453,500,786,371,792,200,482,917,227,752,071,468,357,953,
657,782,452,360,630,668,566,116,742,146,015,025,570,460,928,609,329,619,961,
920,291,490,406,011,428,844,418,192,556,332,517,905,581,848,585,411,712,341,
148,494,287,507,099,396,122,914,969,458,777,038,623,140,757,956,718,992,485,
390,045,430,737,420,898,173,814,997,800,611,541,439,098,427,811,300,681,187,
962,937,968,463,543,826,451,410,548,673,001,760,380,653,428,704,840,434,137,
859,335,892,839,851,690,504,005,540,736,783,353,264,001,779,155,759,041,933,
063,342,303,515,094,659,336,365,034,942,696,874,252,144,721,448,175,563,321,
983,672,334,151,761,667,298,547,339,995,380,774,931,459,954,404,738,723,373,
669,644,927,259,731,185,208,270,005,007,275,883,111,116,223,889,722,682,586,
374,191,807,586,112,609,259,934,474,455,826,746,800,323,391,319,941,143,057,
409,467,964,256,942,485,842,011,164,243,468,009,771,592,200,861,091,812,899,
351,330,324,983,230,613,765,644,126,882,741,333,299,082,559,769,976,118,361,
066,017,887,883,990,239,224,869,364,058,861,607,550,899,450,111,172,688,507,
050,237,612,946,799,258,252,106,291,683,554,273,738,875,137,237,659,261,410,
220,980,050,278,963,075,547,246,302,415,647,423,278,065,712,577,912,480,143,
518,018,683,574,422,888,763,214,349,355,740,592,561,133,533,267,761,774,787,
649,658,905,592,837,092,322,320,613,419,766,198,573,932,310,215,101,480,014,
191,331,429,242,167,404,524,481,918,782,335,209,497,905,081,158,228,841,126,
483,959,647,130,576,773,448,782,905,525,232,062,822,661,609,530,499,831,138,
432,947,842,313,955,558,099,672,607,933,421,236,743,142,196,101,783,781,122,
936,064,298,713,594,885,508,191,283,857,781,430,497,400,325,168,944,957,322,
809,452,938,478,645,445,818,529,523,624,384,539,605,440,901,539,038,640,652,
917,584,767,922,588,983,055,884,837,605,736,447,130,523,341,451,503,992,687,
675,615,061,988,577,679,817,562,822,552,665,136,055,312,765,403,737,829,876,
115,710,154,519,251,661,915,439,715,577,204,683,377,502,033,664,325,483,970,
415,788,202,499,345,303,167,834,863,321,784,399,366,554,560,403,588,207,341,
517,412,970,229,590,284,220,824,990,342,206,128,999,404,968,194,782,094,765,
539,271,757,810,178,403,660,228,107,398,961,062,377,203,264,803,819,957,628,
773,948,391,674,132,027,108,600,433,276,127,110,320,450,770,763,695,520,738,
143,864,441,615,725,405,086,561,272,120,695,629,727,662,917,833,605,659,312,
044,107,070,347,667,494,360,698,420,543,892,113,002,384,160,210,911,637,961,
875,157,728,949,142,098,665,515,078,794,930,680,897,213,756,885,302,742,784,
981,005,993,358,580,314,228,919,663,048,080,440,539,473,053,666,810,818,922,
897,433,376,071,327,738,053,150,209,258,661,179,678,303,186,361,986,962,448,
477,109,580,329,364,293,074,876,440,398,220,555,513,517,712,733,303,678,067,
139,101,186,959,184,538,354,214,852,804,588,904,690,507,386,953,812,538,271,
801,255,279,579,620,050,643,763,651,959,539,649,776,832,229,630,738,093,476,
866,814,400,813,831,542,985,609,228,808,396,520,259,028,824,362,967,342,498,
003,142,743,425,969,140,101,479,995,886,706,092,279,188,488,303,180,035,313,
518,249,542,685,935,131,389,552,444,093,936,811,646,348,253,971,097,459,541,
504,940,200,353,932,565,046,527,935,296,344,027,702,807,113,285,273,449,357,
789,710,574,698,256,339,279,545,550,363,665,484,495,167,365,144,919,295,539,
661,616,519,479,130,871,583,808,881,248,214,297,786,715,275,392,981,628,997,
617,301,792,735,492,690,776,112,340,377,745,520,818,185,577,933,812,917,528,
192,220,388,098,885,310,771,728,141,906,982,923,615,398,199,199,012,823,199,
002,141,581,484,638,498,063,993,249,336,212,522,199,411,510,288,302,847,790,
696,305,013,885,165,219,757,733,288,078,339,338,795,307,277,401,391,276,347,
997,242,835,762,947,953,312,003,369,792,991,415,723,969,771,271,386,131,746,
441,111,903,282,734,017,164,528,286,388,630,834,999,119,845,931,996,039,315,
314,793,841,498,356,629,547,843,032,295,153,994,264,374,683,832,131,911,937,
303,862,962,879,049,619,465,393,757,247,389,320,820,529,230,931,648,331,209,
065,443,163,815,668,352,958,725,143,495,611,152,646,692,621,169,513,971,205,
575,118,375,600,112,118,561,423,637,436,263,747,798,166,720,221,480,268,431,
310,333,778,327,997,481,059,684,476,941,113,057,527,727,870,489,665,383,010,
519,743,384,363,830,321,486,521,529,437,197,914,038,444,248,194,193,743,979,
638,262,474,796,083,642,255,484,612,795,433,109,661,097,975,750,775,841,321,
835,109,788,159,028,765,812,889,172,538,096,045,567,423,711,395,815,083,871,
147,774,780,129,075,324,994,457,228,713,534,410,158,936,328,813,961,653,074,
022,625,014,018,213,421,229,281,179,202,284,336,496,957,891,820,141,332,177,
914,187,834,833,114,166,918,147,676,504,214,040,917,751,393,478,237,643,454,
514,130,798,240,416,308,534,183,826,898,821,182,213,316,109,259,649,629,084,
375,124,443,764,188,609,128,508,627,847,954,671,728,021,225,623,264,598,727,
050,669,031,750,211,025,249,944,296,883,094,971,454,414,011,333,786,466,215,
087,514,450,826,902,719,128,261,289,061,736,054,130,097,485,210,279,743,252,
379,311,941,753,580,290,115,770,551,456,161,783,145,376,844,504,837,723,858,
268,222,599,156,270,282,356,987,065,660,634,382,764,588,801,720,291,519,522,
996,856,594,826,106,569,222,420,858,578,540,251,788,073,934,023,420,239,277,
796,486,539,751,882,182,925,295,773,192,035,838,492,606,158,986,279,065,428,
466,855,586,555,899,503,796,397,428,673,709,715,988,639,456,482,501,623,585,
328,450,862,703,016,738,357,295,151,888,753,985,577,447,269,337,013,784,573,
080,144,778,916,234,700,760,474,538,341,894,311,227,398,792,114,661,298,425,
040,493,997,585,674,740,423,498,608,773,283,197,205,824,302,339,417,676,240,
059,403,700,945,176,614,721,340,990,280,361,793,764,115,630,405,361,537,933,
259,427,724,140,218,400,843,952,335,616,825,616,831,801,638,848,053,709,741,
177,919,122,816,847,153,343,596,703,708,399,877,806,115,475,584,987,819,082,
303,552,774,737,138,208,457,626,356,920,651,085,475,106,684,640,527,783,631,
888,806,719,069,041,243,708,300,109,336,086,815,173,541,030,494,339,789,568,
184,928,049,486,148,848,325,445,070,536,889,837,948,438,722,093,644,399,452,
080,207,183,351,253,522,818,013,930,588,803,728,233,282,583,091,759,040,402,
567,116,862,585,709,647,944,041,803,811,264,360,334,796,091,601,038,207,891,
066,435,761,389,987,287,653,358,531,561,103,866,264,266,126,578,584,031,399,
618,507,778,058,083,931,610,021,104,315,814,619,817,857,407,445,319,413,810,
258,723,783,945,905,969,598,547,209,565,417,783,912,361,882,641,092,691,447,
267,409,550,342,072,082,887,555,615,536,777,311,655,664,346,687,266,816,454,
914,956,217,485,646,632,448,493,422,030,511,942,897,484,211,993,800,089,850,
896,627,654,432,213,970,896,632,498,666,405,693,583,235,162,629,436,172,422,
890,124,223,017,347,554,599,450,971,322,787,880,980,760,690,843,030,354,507,
234,469,151,990,560,459,092,199,939,213,446,876,269,777,769,270,235,726,127,
395,836,033,991,428,968,743,547,507,511,197,663,952,599,200,178,941,934,077,
153,616,871,055,489,133,318,743,522,597,170,016,072,492,262,068,116,250,049,
635,115,283,648,155,517,887,638,147,968,899,049,733,106,857,651,320,159,187,
394,050,549,289,984,210,773,869,474,281,057,807,273,194,359,414,930,456,241,
049,940,215,806,791,382,858,509,579,569,777,698,097,099,330,428,502,156,028,
538,992,697,801,896,094,458,714,951,550,445,536,676,345,314,180,772,671,859,
151,559,090,662,600,719,108,014,209,624,201,503,877,208,420,611,979,441,291,
039,426,477,539,508,413,297,184,867,339,324,277,391,448,316,946,276,964,324,
251,909,897,364,408,199,448,291,044,074,618,947,330,216,125,815,680,883,607,
258,019,224,666,205,765,041,752,967,216,458,524,593,695,981,536,849,217,885,
238,858,461,017,499,502,750,263,099,838,441,779,886,785,744,734,887,638,128,
702,374,132,233,319,572,833,553,260,155,852,889,420,635,478,644,884,633,497,
499,479,602,059,625,691,973,778,589,336,272,025,143,546,941,173,412,549,879,
552,589,553,414,850,646,325,535,166,181,429,706,774,271,862,531,174,097,749,
112,373,223,519,147,106,341,636,178,037,644,168,319,723,337,892,213,802,113,
902,505,892,334,154,843,925,594,686,953,383,336,885,172,325,216,603,528,724,
840,624,067,318,170,199,917,349,618,736,211,248,016,841,524,780,954,484,900,
048,862,840,293,944,182,178,875,395,198,235,095,509,091,723,597,126,306,990,
010,125,989,823,972,589,500,749,082,831,506,303,841,081,983,132,267,020,167,
908,735,305,729,425,766,913,867,329,961,151,219,135,670,612,662,418,227,507,
560,420,846,589,216,375,904,680,573,645,331,985,816,905,466,421,609,866,414,
872,377,769,256,925,613,588,686,860,362,875,696,618,537,778,243,431,383,166,
265,395,887,613,617,910,016,293,783,520,350,532,489,116,547,842,383,984,310,
689,997,277,060,537,114,641,947,984,183,877,136,185,900,302,555,484,010,797,
570,632,302,628,748,038,490,592,486,933,483,859,177,013,738,485,428,532,578,
665,906,311,247,906,233,029,631,893,118,117,021,903,895,136,072,491,844,045,
211,455,487,534,196,623,327,995,293,500,227,577,264,268,773,667,635,373,567,
637,584,778,095,864,127,997,580,138,504,382,058,385,655,617,975,754,200,121,
566,933,926,541,359,267,344,321,512,308,303,350,622,255,840,688,757,994,715,
796,851,524,117,249,993,232,061,300,512,595,428,846,286,767,216,432,670,180,
267,572,271,437,386,624,075,765,467,827,385,860,460,686,243,031,076,411,651,
366,480,750,256,233,535,760,979,741,613,570,010,761,664,143,547,004,350,783,
713,079,709,665,201,517,494,410,550,990,761,859,904,223,665,128,745,936,897,
804,988,514,559,607,551,415,698,353,752,864,684,741,434,727,726,647,785,692,
126,841,754,010,920,217,635,322,866,247,027,319,194,119,355,229,438,242,383,
711,413,296,897,264,357,343,637,252,062,255,628,015,212,657,787,484,946,263,
100,643,110,643,016,774,578,097,578,144,814,576,302,310,022,208,599,515,037,
132,791,307,727,953,016,503,505,619,908,747,724,417,080,766,299,144,127,768,
162,447,138,228,788,777,894,305,810,090,042,262,444,862,034,836,299,773,364,
507,818,355,649,180,767,663,226,333,536,414,759,986,430,778,405,131,877,381,
875,451,744,663,398,279,748,314,870,508,431,684,964,185,487,960,934,239,756,
596,434,494,436,367,302,895,769,770,662,223,460,887,538,043,900,890,208,326,
387,234,416,025,728,278,976,455,223,664,961,404,938,211,737,225,362,691,210,
288,391,668,758,128,348,890,402,168,692,825,082,410,377,533,444,769,314,776,
988,296,983,677,406,626,203,001,396,126,724,560,645,763,913,615,509,881,675,
657,110,558,299,487,212,264,844,097,976,859,079,039,405,367,029,842,266,503,
250,506,423,922,886,126,927,808,945,977,748,516,779,311,764,554,020,725,664,
116,087,758,376,113,849,162,539,658,006,974,567,829,064,454,770,276,090,696,
775,509,399,172,057,795,906,777,315,885,038,172,879,623,626,628,792,394,625,
974,257,349,711,870,083,069,466,196,681,329,803,454,686,548,281,803,954,700,
391,829,102,914,566,562,195,287,768,008,374,729,966,490,752,582,908,925,510,
291,362,773,412,974,374,192,566,391,755,427,711,797,057,653,038,268,438,420,
954,452,232,793,555,341,745,649,474,907,029,767,858,954,404,289,819,933,740,
108,153,630,814,887,601,057,128,023,892,546,658,749,340,838,379,387,557,459,
898,644,124,062,226,499,107,376,139,867,991,192,188,743,725,009,635,429,596,
125,855,711,488,351,871,954,539,378,950,248,169,395,716,142,333,999,646,618,
201,603,502,555,459,171,656,084,489,253,100,599,913,333,132,541,683,340,689,
008,798,605,637,332,279,150,796,498,569,963,094,340,648,604,099,569,193,009,
613,608,497,381,791,624,578,283,205,975,708,110,797,853,215,693,117,287,324,
761,704,061,490,448,560,867,125,284,255,655,900,015,225,866,914,285,391,443,
761,003,296,238,748,884,160,899,061,001,875,279,926,577,986,298,538,014,017,
680,964,313,293,401,802,240,248,738,348,531,842,370,143,802,549,376,563,182,
020,605,954,642,777,195,616,170,645,205,782,713,223,677,424,564,459,624,799,
293,179,583,923,516,165,421,511,396,433,923,533,421,714,563,826,658,757,860,
790,987,545,032,389,731,181,390,528,724,076,415,066,730,456,156,969,432,608,
792,245,088,272,094,521,888,990,110,149,409,897,314,906,242,499,300,784,622,
775,859,753,668,163,230,151,682,807,009,937,808,000,212,036,313,369,494,979,
681,908,598,828,925,198,517,875,187,881,786,044,174,566,880,891,344,040,710,
836,265,849,066,892,435,087,000,777,265,981,388,846,796,651,883,444,107,027,
855,920,880,926,955,974,623,520,973,144,890,214,983,143,365,183,806,035,923,
608,172,705,751,559,058,225,782,903,425,575,314,643,540,623,073,860,324,217,
970,565,801,320,517,785,626,524,004,231,007,910,155,255,978,663,306,448,841,
168,926,904,227,226,023,532,467,386,758,536,460,950,139,308,675,683,728,177,
679,008,045,771,159,546,335,058,145,252,306,700,651,880,051,134,138,967,019,
747,199,748,622,602,505,173,392,721,089,576,177,336,333,668,843,410,169,998,
717,513,864,945,403,062,692,018,454,426,047,014,726,109,923,224,880,624,670,
919,692,536,926,606,334,577,881,159,334,690,548,662,035,164,258,615,437,497,
491,637,390,139,774,011,537,938,766,530,910,438,745,025,575,937,608,107,804,
241,899,191,395,157,128,139,340,281,127,209,511,273,792,637,796,462,649,452,
641,983,345,977,279,373,038,671,196,282,680,269,352,256,057,701,122,856,582,
908,089,936,093,527,152,485,395,391,191,832,992,258,617,657,707,992,167,272,
488,412,846,195,062,542,006,260,561,912,146,764,395,816,778,664,165,999,347,
667,793,684,681,801,167,295,349,123,837,612,230,440,430,316,770,285,748,835,
313,869,825,357,491,573,326,099,138,124,084,100,435,430,406,837,344,054,033,
691,508,356,100,368,706,954,290,179,834,879,979,248,213,316,751,306,614,739,
636,756,008,936,568,413,367,698,161,562,376,435,420,416,625,497,755,210,616,
046,939,979,614,299,642,013,676,985,445,459,897,148,769,843,398,221,535,388,
941,418,920,468,722,866,882,671,974,494,835,609,814,500,433,053,975,866,806,
265,687,301,810,237,114,402,149,175,206,715,767,161,797,605,256,092,959,754,
958,217,691,122,975,651,933,954,721,513,398,014,468,043,409,643,797,009,287,
891,773,306,138,808,217,189,801,635,224,293,513,022,641,207,891,913,684,003,
149,472,869,681,840,117,181,828,335,870,603,729,926,466,602,327,451,459,264,
672,908,276,958,966,900,499,204,420,229,163,600,029,632,040,281,755,651,922,
025,104,981,820,469,567,150,478,005,399,140,397,318,361,825,123,807,854,158,
521,199,414,529,311,404,761,630,080,041,543,456,706,912,333,617,618,091,482,
959,128,893,705,898,190,472,553,533,290,874,550,635,317,208,164,636,807,946,
588,952,889,813,658,238,939,101,382,314,896,231,170,731,028,781,879,681,657,
014,234,495,778,229,123,763,457,191,827,615,492,383,625,580,154,358,678,431,
579,471,806,706,685,804,148,751,577,504,515,131,512,675,756,279,266,018,890,
438,620,251,610,817,005,580,129,225,391,733,117,617,315,631,268,457,689,956,
737,893,999,935,474,475,690,965,778,257,930,426,205,463,884,386,575,628,178,
394,141,315,393,765,315,960,714,902,675,488,180,610,716,207,786,540,602,818,
719,262,575,035,077,712,333,405,124,374,704,417,502,318,954,252,330,673,448,
168,057,959,934,195,587,852,226,616,193,699,039,946,581,096,612,814,737,584,
529,023,804,082,687,257,133,749,871,985,862,320,195,595,308,287,410,907,426,
111,029,560,446,689,938,908,696,735,463,504,296,302,471,333,958,354,564,639,
316,208,385,620,727,678,774,585,253,163,858,627,403,756,537,289,782,770,693,
471,446,485,501,283,204,444,782,899,529,361,729,813,507,217,903,327,592,794,
581,664,176,802,657,864,152,063,199,457,467,747,892,139,623,556,167,240,438,
432,541,546,112,169,992,789,497,237,980,042,277,939,384,630,712,349,933,384,
139,301,941,729,579,518,660,382,242,798,303,771,902,918,370,310,443,633,804,
756,180,209,064,390,063,799,884,507,737,543,316,344,122,015,620,470,701,893,
966,401,640,664,103,562,022,493,686,035,359,540,750,748,481,056,821,941,726,
136,606,696,248,499,408,807,521,671,380,454,616,510,174,442,860,038,322,633,
118,475,057,654,128,418,516,453,007,421,611,172,794,462,465,691,200,455,260,
960,649,027,561,633,016,929,638,041,461,829,507,654,395,676,430,267,990,806,
765,752,436,529,841,522,246,534,910,518,628,347,478,941,180,824,272,408,926,
792,861,989,767,948,372,750,935,920,147,884,713,924,450,726,633,985,048,700,
716,869,676,395,125,455,529,858,716,970,252,190,441,308,310,779,535,686,687,
351,463,148,540,916,996,714,205,173,244,541,371,791,594,496,037,960,367,121,
366,697,009,189,090,148,086,143,329,396,352,751,442,284,908,778,429,144,549,
426,687,527,644,609,694,220,297,894,824,096,661,603,319,752,587,181,537,390,
242,430,775,210,856,626,620,441,411,880,899,514,430,685,404,039,746,549,737,
730,987,073,419,045,115,584,250,524,652,769,997,976,633,043,351,788,158,832,
836,330,159,707,753,928,067,566,152,120,249,319,144,417,623,358,115,213,303,
774,121,592,358,445,907,094,938,385,603,513,362,865,000,192,364,967,289,762,
535,390,633,319,649,681,795,808,529,084,678,603,380,270,736,288,589,902,587,
011,056,099,865,453,108,543,920,518,213,760,986,883,730,690,255,444,243,434,
175,672,402,542,091,786,340,595,880,980,843,534,981,143,337,561,536,078,897,
186,492,838,033,468,134,298,098,544,478,763,225,526,890,532,825,001,524,845,
050,562,554,807,688,239,162,727,593,559,639,295,350,498,636,575,787,560,679,
679,568,971,488,774,094,419,561,134,016,899,724,322,506,942,006,719,782,680,
438,282,743,308,779,846,953,142,913,287,697,664,808,191,512,463,025,637,171,
130,691,241,227,013,943,754,024,640,661,905,345,914,321,244,070,596,690,224,
904,222,597,465,643,034,852,602,439,072,743,887,976,125,101,906,467,220,102,
798,836,408,488,461,301,993,965,233,934,323,033,684,476,220,088,192,126,856,
804,557,799,832,580,477,724,783,565,869,210,143,854,449,715,350,258,854,153,
684,996,074,982,141,497,844,427,319,924,128,240,444,190,609,446,932,914,786,
311,482,222,154,097,687,206,101,642,659,992,789,564,292,911,583,299,843,189,
970,303,217,225,057,238,250,489,106,291,017,168,707,497,375,015,466,183,910,
648,050,582,766,418,746,745,475,262,727,407,816,726,014,833,402,412,190,954,
173,965,368,569,048,476,955,649,681,800,925,960,110,790,913,372,134,364,623,
616,314,558,061,215,600,915,813,612,362,218,327,120,934,555,097,755,800,991,
138,581,099,651,623,888,034,860,656,722,406,095,814,270,873,461,281,761,564,
664,015,417,993,989,146,807,439,573,757,457,393,670,141,964,435,126,914,776,
683,068,286,871,320,293,461,311,057,248,156,974,362,388,600,433,487,490,334,
187,424,403,024,609,587,876,382,594,611,732,309,340,259,380,965,716,879,773,
656,746,874,719,208,971,100,074,094,206,615,730,446,324,714,611,122,195,381,
271,345,506,397,357,701,004,792,394,446,345,509,090,208,366,235,679,717,413,
402,120,360,480,275,358,183,505,958,000,567,733,904,125,734,129,694,953,016,
751,453,767,292,593,622,338,077,709,613,652,682,919,019,873,700,990,959,253,
362,046,612,999,101,188,860,608,792,253,055,599,857,357,317,190,927,783,347,
151,149,629,755,282,004,000,804,350,855,343,994,072,763,954,032,978,272,439,
488,541,791,059,266,558,315,867,013,071,620,853,506,149,501,568,021,901,902,
249,593,695,621,508,614,342,901,488,892,456,077,888,142,471,288,972,822,516,
895,872,136,978,328,905,952,645,750,466,680,351,656,284,892,229,773,699,456,
538,084,258,163,726,110,365,455,868,972,995,517,245,708,635,691,313,839,218,
983,787,178,146,039,237,431,049,189,009,127,457,695,995,732,150,502,015,741,
181,157,402,394,706,656,732,444,066,888,834,322,346,620,036,365,376,182,304,
719,610,371,032,819,857,799,959,549,283,338,747,785,732,991,665,621,167,421,
707,682,112,782,517,789,002,789,368,401,691,522,349,110,689,100,106,405,004,
827,133,918,136,705,123,665,276,642,226,268,445,677,724,331,967,694,791,564,
944,148,513,568,204,600,426,022,891,788,193,698,835,515,858,278,286,150,464,
687,512,446,098,014,357,183,681,194,747,718,488,627,554,822,518,570,931,948,
843,911,819,694,739,871,619,370,337,031,890,897,012,856,523,367,065,354,474,
988,953,920,387,491,913,343,276,327,879,286,872,023,929,511,990,248,820,453,
542,775,565,115,643,851,756,179,172,966,074,743,371,785,143,903,702,289,536,
164,988,319,796,537,049,792,220,781,465,662,416,108,707,930,698,098,215,452,
945,427,910,814,291,598,513,690,762,215,272,890,628,666,122,065,093,018,705,
902,633,440,198,488,877,298,106,703,678,348,594,900,067,456,367,740,429,768,
016,046,520,683,261,996,873,349,330,723,272,698,483,414,475,284,261,361,486,
863,327,513,326,680,324,495,660,297,354,770,626,282,834,844,809,540,078,166,
871,913,540,967,634,273,894,237,105,923,516,813,288,589,909,087,023,522,151,
766,136,104,468,957,287,060,739,104,738,105,783,666,506,156,905,546,810,329,
019,701,811,016,702,014,204,606,375,178,438,912,008,325,252,579,648,832,531,
069,421,469,547,849,559,069,103,012,706,073,433,043,058,588,960,096,264,271,
005,194,328,819,978,424,642,586,304,146,630,705,627,068,755,815,851,509,871,
682,229,327,234,192,571,742,840,714,144,552,689,267,162,520,615,457,863,578,
716,368,164,428,256,126,160,607,617,072,686,048,879,361,934,610,424,936,752,
827,068,146,570,982,295,277,504,467,121,830,935,094,820,170,689,812,769,301,
800,660,118,327,416,875,684,324,480,113,454,592,567,135,655,609,474,400,442,
839,805,173,095,429,863,265,336,244,792,534,351,395,579,499,067,344,850,670,
774,510,025,525,474,310,676,596,855,262,388,086,424,162,725,452,336,653,460,
237,936,093,870,357,407,136,379,623,871,082,310,569,975,076,632,055,339,536,
996,158,160,722,462,435,284,362,523,518,393,609,297,742,609,873,363,252,541,
790,176,651,627,005,158,528,732,591,794,471,870,482,130,809,717,609,680,532,
456,275,011,686,855,945,445,094,162,862,208,640,642,019,182,849,104,644,245,
800,849,824,094,122,247,545,879,755,013,524,416,503,578,196,995,455,605,717,
498,960,077,039,663,990,964,172,595,911,764,388,718,048,359,323,317,916,370,
697,884,135,876,628,875,961,671,624,775,240,789,783,694,326,586,351,898,904,
376,239,150,623,627,049,927,387,773,732,540,965,245,292,335,982,212,809,684,
193,374,528,190,436,285,056,347,579,439,094,233,528,829,552,700,932,283,765,
084,929,968,780,746,853,016,299,764,093,586,783,471,784,926,659,246,099,399,
332,827,983,860,620,272,814,346,169,281,340,505,595,197,671,807,836,344,073,
560,669,011,814,772,801,306,379,323,834,191,328,858,522,939,249,022,149,970,
407,193,416,723,980,293,290,294,582,815,379,085,421,899,906,241,529,577,896,
032,007,583,482,932,866,685,057,354,768,153,989,414,650,114,973,801,198,254,
424,948,237,737,102,846,395,434,550,861,956,461,841,937,248,182,802,504,572,
048,287,310,344,681,109,414,849,529,910,261,548,365,432,413,003,339,269,271,
413,705,403,249,634,203,741,327,237,346,694,309,219,820,840,349,144,667,920,
050,225,061,282,154,280,424,139,833,673,972,118,856,583,070,739,804,280,045,
867,201,574,447,259,766,624,317,197,935,455,360,509,043,715,889,590,459,693,
565,290,643,000,846,616,142,974,051,319,766,121,543,299,528,776,304,710,475,
536,702,817,497,360,840,283,756,214,276,080,301,957,569,628,377,045,523,357,
583,264,400,093,030,259,601,293,839,528,077,070,153,577,329,850,682,131,459,
053,803,182,565,346,640,366,434,297,104,970,497,459,952,887,964,732,380,517,
471,456,263,272,908,573,213,812,566,104,090,458,733,676,054,539,239,836,089,
047,893,324,163,464,898,818,582,455,800,449,211,824,081,880,871,442,016,331,
867,706,307,229,383,776,484,411,235,098,150,125,777,637,913,273,263,982,289,
366,620,337,753,872,488,384,877,255,037,572,426,155,228,394,875,765,938,839,
055,138,137,908,446,278,609,620,149,142,179,125,038,785,285,596,259,053,329,
572,398,061,334,769,852,332,031,524,568,480,701,702,657,627,529,574,182,008,
104,201,213,701,519,324,999,922,757,105,763,272,943,452,903,859,560,010,036,
994,026,437,153,593,668,164,650,815,879,559,572,531,206,362,686,985,625,071,
236,115,473,599,812,301,798,113,920,085,136,126,648,046,467,126,712,793,315,
631,579,683,332,352,381,370,613,240,966,028,228,304,211,980,413,097,410,761,
406,906,598,290,935,881,873,475,904,294,629,449,025,920,558,180,624,351,870,
916,956,187,802,345,066,833,226,491,150,023,573,271,470,873,477,600,639,653,
239,442,725,401,605,907,831,274,142,908,707,390,773,735,979,978,922,835,962,
805,903,862,800,011,181,141,818,563,631,688,714,664,418,933,009,271,737,894,
561,564,219,481,990,252,660,900,997,879,753,481,075,443,107,085,113,584,685,
474,748,208,841,071,938,373,121,728,693,676,978,762,022,507,387,918,850,667,
207,403,570,666,023,165,589,390,284,958,328,441,926,404,676,641,685,853,353,
253,363,633,378,132,551,325,686,927,635,491,632,244,275,909,039,663,433,590,
632,285,086,785,543,554,121,127,937,679,484,958,824,539,835,018,129,222,712,
238,957,297,624,082,001,121,573,970,650,799,997,254,159,705,913,614,553,207,
818,494,014,221,147,939,666,535,009,541,935,813,627,665,069,414,937,341,144,
998,036,983,179,950,936,142,666,521,983,852,846,239,533,027,434,971,329,686,
968,121,817,056,961,304,145,857,000,300,984,013,046,570,284,038,450,551,886,
830,764,287,560,918,174,699,114,264,463,317,017,958,875,703,123,701,053,403,
134,368,334,119,511,956,538,231,935,969,696,643,315,860,388,757,645,847,627,
313,119,940,321,471,963,467,929,522,980,037,871,332,588,513,566,862,222,258,
189,063,269,035,598,137,951,165,687,244,468,654,420,523,208,519,832,297,334,
660,916,986,655,831,990,160,881,270,311,735,662,929,077,788,960,590,879,537,
923,848,672,256,288,222,210,934,966,943,699,592,853,808,668,259,801,214,028,
506,908,714,712,816,498,586,810,592,918,610,475,326,833,044,767,464,702,338,
474,546,651,392,398,219,656,577,325,809,683,891,892,088,288,942,067,625,553,
392,374,565,791,343,764,698,920,022,483,298,228,817,681,360,841,343,818,484,
283,420,479,789,304,000,749,652,028,781,024,869,137,893,758,589,579,733,751,
284,877,367,778,247,748,008,993,785,769,545,509,968,592,621,469,223,968,263,
387,565,434,140,038,964,159,469,791,307,434,297,819,218,040,938,179,643,194,
164,173,575,120,665,592,442,064,706,450,027,516,015,444,498,780,750,614,685,
979,566,765,073,458,820,126,190,873,600,206,831,287,179,796,734,647,748,167,
446,849,131,711,569,934,921,493,015,614,497,824,084,152,390,159,395,436,634,
129,692,566,602,010,273,709,729,988,047,961,568,182,295,225,548,506,766,776,
442,460,676,887,026,788,755,810,081,154,645,672,212,612,887,436,446,725,821,
056,221,512,271,507,742,581,316,392,722,160,467,250,249,077,615,806,194,125,
700,200,025,946,647,487,426,088,462,655,581,835,239,372,364,821,777,553,587,
055,462,648,455,446,621,998,736,318,071,741,064,385,196,749,327,602,814,223,
895,683,493,809,042,723,408,325,507,379,791,102,631,920,848,370,656,609,898,
792,596,048,107,079,001,593,865,409,694,411,016,691,015,899,802,090,894,634,
059,699,148,186,174,490,087,282,011,542,116,443,542,813,213,026,810,546,880,
238,828,787,174,361,256,912,719,085,786,956,379,993,751,650,777,132,996,629,
239,152,008,942,224,063,046,559,600,918,017,856,683,222,344,177,812,456,915,
368,738,186,737,499,488,907,953,642,264,275,046,389,482,448,477,688,252,475,
430,444,520,086,601,764,003,309,628,861,233,877,573,058,589,126,917,774,790,
291,682,875,787,328,360,058,897,722,836,006,497,407,601,738,179,154,296,477,
583,921,499,412,688,840,635,076,770,026,825,230,113,375,902,188,088,749,146,
284,710,241,650,932,942,369,446,808,530,655,062,144,746,128,946,048,569,737,
813,443,855,751,588,267,404,667,034,163,037,003,379,910,305,260,485,492,836,
767,062,294,433,944,006,010,854,033,519,224,565,101,421,274,938,540,384,156,
641,387,997,622,942,240,357,607,769,708,686,189,924,428,081,638,160,579,171,
923,729,571,111,836,173,666,104,755,098,710,295,606,857,483,078,302,890,509,
452,707,648,372,777,758,371,394,235,658,429,223,295,951,916,236,342,396,806,
632,870,908,916,420,402,089,528,936,396,060,333,933,858,040,167,847,790,701,
367,333,286,115,552,620,589,820,895,708,367,258,691,237,280,549,806,478,093,
180,809,679,474,361,252,488,884,582,966,454,615,398,822,856,089,582,419,760,
466,236,171,706,278,532,300,020,778,460,058,102,814,335,694,253,355,308,065,
914,911,535,418,252,262,946,597,040,087,074,947,851,969,390,989,386,616,613,
159,095,744,935,787,797,960,979,819,243,022,307,306,619,715,560,325,131,434,
646,633,430,025,861,253,605,357,887,821,667,969,835,315,530,862,318,824,252,
631,549,898,261,897,780,463,616,484,032,915,551,799,461,124,413,635,625,312,
241,066,582,089,632,382,346,822,229,036,911,030,619,342,574,941,398,436,057,
140,556,286,379,644,210,826,832,651,890,222,850,897,137,125,906,831,391,545,
824,773,493,133,595,170,198,617,531,919,040,718,983,642,330,589,678,882,717,
692,678,663,600,583,015,850,317,197,083,374,769,152,778,879,556,048,811,437,
298,169,259,768,536,859,569,795,235,027,573,383,730,817,075,884,365,440,605,
214,759,289,639,164,794,046,743,437,850,063,109,488,727,406,398,428,911,116,
006,263,083,830,290,169,708,288,847,029,104,083,547,338,167,374,212,778,876,
442,936,356,129,147,468,068,611,150,935,462,391,221,113,934,479,058,651,951,
031,297,079,239,449,221,597,364,565,218,402,429,685,847,322,480,747,711,197,
476,142,539,254,293,568,851,970,314,980,583,003,063,667,468,248,446,822,360,
835,954,888,508,920,284,887,460,696,437,716,462,856,273,879,954,760,408,629,
205,471,253,312,042,702,744,251,523,117,920,630,510,070,190,988,339,521,436,
507,643,269,892,642,543,875,949,754,673,140,985,430,015,725,021,434,864,627,
601,473,575,292,426,135,474,211,364,602,981,215,853,150,402,536,421,807,665,
123,068,749,103,933,138,927,732,592,185,752,476,360,826,212,082,419,258,280,
504,824,758,942,276,945,134,235,694,650,658,793,040,253,700,443,431,187,645,
230,757,886,243,218,119,130,920,227,703,860,759,778,967,938,140,725,429,573,
854,546,519,340,629,210,123,225,890,275,701,395,919,155,150,836,525,439,584,
290,358,057,842,703,733,765,451,564,745,871,748,041,138,678,940,491,302,634,
513,956,602,141,243,341,774,497,099,907,188,415,392,491,863,247,329,160,345,
158,709,535,965,695,615,655,445,144,022,133,892,039,981,144,951,673,131,028,
534,740,487,786,187,877,793,500,972,960,307,813,127,258,075,978,333,930,112,
651,412,973,965,599,133,516,023,761,906,476,044,332,274,484,153,899,021,568,
833,796,933,492,746,612,584,623,897,341,353,064,018,286,414,777,752,020,411,
162,874,651,615,149,079,586,414,694,175,335,810,636,844,808,997,986,097,072,
411,921,719,324,689,294,712,319,818,812,645,052,131,992,737,625,748,657,024,
407,735,180,392,114,861,041,668,549,138,454,441,892,144,398,789,665,900,300,
171,365,547,226,915,400,910,132,384,984,325,925,290,215,045,104,988,059,947,
984,906,800,247,784,271,464,203,809,315,106,974,056,194,829,805,059,807,846,
858,737,395,215,349,534,601,787,015,486,305,684,802,114,201,793,785,888,973,
167,477,858,518,479,091,732,600,634,034,769,301,563,532,411,411,144,866,144,
187,283,038,210,558,868,225,595,079,804,191,203,741,215,029,901,180,140,543,
957,324,743,200,352,505,858,928,153,838,570,897,130,643,530,184,553,535,050,
508,882,324,414,073,649,127,006,574,348,994,122,352,806,730,418,201,213,458,
145,439,837,307,905,846,754,561,055,641,514,572,577,679,305,043,496,306,772,
763,924,448,764,616,446,807,590,609,595,624,653,950,027,395,814,545,632,562,
500,466,134,296,503,672,408,958,578,525,077,722,340,665,392,952,431,394,542,
138,884,628,294,417,711,665,132,566,290,350,720,143,024,247,685,558,162,642,
000,146,909,440,911,116,677,477,718,579,051,105,716,355,109,563,378,637,209,
281,605,665,063,317,675,713,192,210,033,439,594,322,621,338,846,692,733,373,
999,778,510,345,875,951,483,307,905,908,547,171,234,581,623,959,408,981,847,
171,739,905,417,482,284,110,950,366,846,835,502,544,153,404,625,251,914,314,
775,843,038,687,457,337,214,427,450,192,056,884,283,819,394,134,336,379,928,
053,184,429,337,547,651,102,807,874,336,217,756,387,665,538,302,865,510,367,
826,144,550,466,812,159,373,005,062,973,062,077,368,049,523,346,897,198,294,
410,839,551,003,663,278,440,534,041,075,156,172,370,439,001,495,404,078,910,
126,537,646,866,877,389,846,271,591,608,219,401,236,879,994,883,673,099,671,
628,688,971,321,736,372,016,183,984,865,534,662,232,236,813,865,233,121,314,
061,989,223,495,122,323,249,284,518,778,572,044,024,123,615,649,530,989,415,
858,441,719,404,127,694,087,981,061,511,626,469,716,463,775,217,429,161,479,
802,026,165,509,918,799,870,411,174,964,457,305,901,002,196,839,215,701,423,
170,768,080,312,508,559,093,085,212,321,262,008,217,464,997,585,375,321,198,
861,061,579,501,063,683,659,405,212,030,776,188,624,939,880,784,370,384,432,
280,423,902,631,687,462,970,635,296,033,352,603,365,492,180,565,861,315,458,
459,182,173,866,882,911,776,408,630,745,528,308,475,549,730,794,057,096,673,
462,607,946,222,075,060,470,689,698,535,263,822,170,055,870,938,920,141,670,
100,585,458,370,176,950,387,630,590,407,160,751,725,705,999,792,780,432,896,
983,532,894,928,322,129,529,088,388,623,730,565,516,530,324,659,057,073,959,
653,649,453,245,147,535,654,830,929,655,732,944,172,215,256,635,591,851,745,
108,667,735,042,616,953,608,950,109,809,217,688,331,566,672,881,410,652,401,
503,037,584,799,181,284,678,718,287,849,125,064,652,027,883,641,059,064,302,
906,755,529,534,919,193,678,235,363,961,446,685,644,197,720,000,684,928,568,
148,750,180,539,622,498,216,452,410,734,651,059,863,312,820,125,711,180,253,
767,175,629,376,984,415,557,146,834,380,847,965,213,590,175,622,363,863,447,
613,202,814,031,946,854,798,391,861,202,594,354,775,419,986,652,694,242,898,
552,100,433,723,253,999,402,422,662,827,362,680,939,027,790,435,994,902,431,
259,461,645,677,079,207,104,331,169,543,680,321,250,831,109,960,819,674,043,
445,187,808,319,345,115,533,392,310,330,441,714,662,297,726,600,505,858,580,
837,317,152,156,342,616,032,384,094,672,044,032,152,124,130,631,987,780,312,
863,490,223,003,847,270,119,288,382,864,033,887,757,526,210,309,075,065,963,
107,598,025,597,888,710,611,454,619,410,472,854,770,939,149,753,913,184,259,
723,886,982,989,412,301,307,653,084,708,518,859,993,782,232,438,352,734,186,
978,405,129,035,500,487,256,912,300,902,764,470,097,796,205,617,260,894,078,
897,890,516,313,962,519,566,466,269,735,944,959,418,919,363,470,446,722,691,
176,858,736,465,582,214,198,629,089,875,654,826,746,418,672,951,991,861,193,
975,241,868,901,818,958,186,619,958,261,887,311,754,224,375,485,888,670,191,
365,911,805,180,929,596,355,233,125,995,741,126,917,990,597,631,307,071,821,
067,110,982,530,015,259,575,000,154,968,743,807,195,583,327,388,563,829,468,
771,207,289,100,246,383,399,273,057,473,497,059,688,608,746,596,487,018,467,
121,146,903,910,139,393,535,618,367,621,466,474,959,738,944,450,282,357,271,
308,013,706,819,019,984,765,770,274,131,479,955,510,900,982,557,354,203,606,
872,539,222,503,928,944,728,094,183,843,632,662,857,143,968,271,062,114,413,
023,387,451,073,164,074,145,449,515,318,881,671,042,377,310,702,516,519,213,
507,469,782,987,055,835,675,593,682,340,392,194,850,536,573,601,994,942,688,
917,202,201,513,542,642,759,758,307,257,259,133,448,943,128,656,497,377,363,
855,066,683,367,770,803,992,299,061,185,503,604,761,668,886,457,537,260,010,
970,901,432,346,333,582,001,694,775,861,553,986,629,117,908,942,969,114,856,
893,705,031,781,766,777,549,100,796,089,362,930,692,692,305,277,985,399,601,
640,711,713,215,306,476,289,855,776,251,942,122,166,637,631,331,098,714,899,
725,810,794,819,701,280,704,083,913,978,744,838,551,340,158,795,502,117,773,
617,053,399,135,826,698,583,963,478,084,945,413,254,111,437,418,003,919,112,
130,830,965,192,267,847,725,585,198,942,951,649,445,834,284,384,694,364,622,
014,277,812,352,473,538,368,988,746,141,603,396,149,545,959,305,870,843,640,
262,102,385,860,683,328,496,661,548,234,260,851,500,039,893,152,807,069,978,
327,219,690,233,826,611,329,088,983,555,733,608,679,557,572,903,720,622,034,
124,889,519,411,879,527,903,770,620,163,243,374,087,732,525,231,706,544,909,
510,848,317,048,878,487,153,785,890,165,832,285,258,170,403,040,755,676,932,
983,251,506,637,158,250,195,462,163,968,523,719,544,965,676,565,063,464,062,
521,313,629,772,511,751,425,326,746,651,400,165,694,090,060,927,541,216,497,
912,311,482,011,617,960,633,335,649,523,220,571,657,357,024,952,654,872,106,
454,915,412,485,766,422,860,820,692,259,150,007,775,332,721,009,277,518,598,
787,649,445,740,431,274,117,706,451,586,996,668,556,091,478,214,956,067,200,
827,084,510,757,177,878,390,721,311,573,041,231,672,589,556,935,033,492,934,
101,328,049,489,703,419,076,685,366,104,890,719,582,289,417,702,842,257,578,
408,843,285,076,844,376,464,699,491,136,222,370,503,968,429,313,186,185,446,
212,330,861,386,784,901,900,060,729,819,073,224,485,227,515,072,604,705,671,
582,551,833,484,059,725,034,687,002,163,729,613,217,041,145,981,922,992,191,
391,582,083,666,568,337,650,758,812,063,886,158,084,847,805,615,799,759,124,
339,403,419,140,601,882,544,245,197,107,475,938,801,392,419,301,953,884,657,
720,522,967,056,815,807,387,789,631,796,646,360,140,451,400,824,629,580,630,
301,279,005,689,098,815,070,474,643,399,014,021,820,293,051,851,160,910,424,
634,730,625,704,241,294,322,140,798,768,975,204,755,866,514,294,441,621,263,
978,651,598,706,108,290,002,517,448,276,235,519,228,314,661,746,877,532,836,
019,497,835,294,649,895,834,478,748,373,106,787,496,430,894,374,464,155,018,
775,528,991,471,324,223,701,251,804,215,742,594,761,260,920,567,138,711,555,
542,855,442,464,158,217,559,318,665,324,795,645,466,397,964,845,497,232,455,
376,334,505,201,291,732,120,442,339,087,071,224,565,781,055,152,043,944,307,
985,043,167,020,864,928,448,159,052,604,050,740,511,907,150,419,345,676,179,
967,663,343,671,197,833,934,738,754,005,487,918,924,281,480,576,774,489,189,
508,622,864,115,084,054,676,704,343,229,574,793,039,157,915,383,131,267,610,
306,345,005,571,688,859,363,786,935,385,074,845,711,785,383,119,935,069,422,
241,162,278,515,784,837,750,441,393,982,692,414,150,726,516,488,245,731,338,
176,081,422,411,046,386,447,455,643,609,854,574,346,459,883,468,437,506,927,
561,057,643,372,524,141,336,673,185,327,283,571,782,718,199,768,180,415,141,
654,564,994,509,678,091,180,837,816,833,717,810,241,607,695,405,244,854,480,
189,732,332,367,899,895,247,503,532,899,486,960,432,359,097,131,786,252,667,
299,738,139,298,139,885,102,167,710,479,719,754,531,509,335,097,537,516,031,
977,070,063,408,109,934,369,248,266,061,367,068,029,059,463,982,042,895,452,
317,536,712,354,010,893,730,911,717,112,541,993,402,726,920,665,354,629,769,
533,670,430,298,711,076,679,279,673,656,685,172,863,856,215,408,392,999,970,
748,147,936,926,067,824,973,792,078,842,292,468,757,108,088,598,107,911,892,
093,306,237,689,109,975,055,165,811,493,278,541,709,041,402,793,413,386,263,
277,507,569,018,068,529,128,654,487,450,501,620,217,268,188,619,137,344,937,
921,307,037,451,712,082,939,414,619,511,326,956,586,482,284,067,769,710,231,
914,675,073,087,158,714,410,978,242,662,283,120,900,292,456,582,372,795,375,
988,364,305,035,348,055,294,555,382,140,017,166,635,137,485,947,480,972,571,
179,313,478,027,760,502,193,772,499,909,382,275,726,449,935,223,674,871,064,
774,717,569,520,680,117,594,991,156,518,256,483,657,265,061,569,162,750,711,
440,787,885,594,492,509,660,762,669,893,552,401,915,124,618,707,081,232,761,
068,221,140,753,056,838,356,901,167,382,604,896,171,348,448,457,093,964,918,
526,288,937,183,630,496,877,095,892,669,458,787,342,693,887,059,870,538,193,
646,432,528,906,925,047,431,395,540,336,587,246,364,652,318,358,937,481,183,
700,027,899,735,112,939,085,461,501,697,831,593,941,199,268,748,492,476,251,
319,022,410,730,714,736,140,656,181,774,518,522,856,888,472,995,924,504,300,
827,313,865,624,223,584,888,759,775,768,410,708,267,022,645,704,744,404,263,
064,513,485,993,933,911,678,212,533,739,740,019,846,192,234,827,353,828,947,
255,158,893,504,516,378,366,941,879,144,745,750,229,437,678,729,222,656,998,
159,923,381,913,693,288,892,005,370,828,426,648,366,582,385,898,299,841,998,
384,541,742,432,158,048,931,295,410,180,161,404,051,571,336,405,736,770,055,
692,029,814,268,147,565,861,937,042,215,372,480,959,073,879,470,852,530,998,
407,029,083,546,577,111,691,349,102,986,679,611,087,593,603,334,863,979,236,
936,745,769,307,865,477,611,601,727,905,335,734,025,470,626,523,524,516,486,
873,286,781,252,616,410,960,819,107,682,878,964,322,442,009,541,439,850,659,
528,363,315,123,742,293,872,965,730,958,916,341,096,341,147,397,693,330,908,
164,572,080,425,480,703,416,312,189,138,933,777,411,230,934,228,325,105,357,
641,545,988,917,729,617,425,026,888,599,779,283,994,414,611,501,116,016,347,
570,246,159,452,160,492,085,323,284,229,254,677,503,228,201,766,545,834,540,
427,734,981,354,420,822,903,220,516,352,154,663,108,461,695,161,872,630,124,
183,227,919,880,015,177,002,963,768,767,675,612,640,028,386,314,244,002,843,
458,655,270,472,913,528,743,267,162,472,065,095,839,059,830,046,522,056,792,
338,729,238,169,267,585,900,530,451,252,361,466,840,694,981,131,784,242,042,
365,903,799,950,019,602,010,998,228,543,456,721,894,820,865,027,538,352,308,
475,072,367,978,853,470,829,345,016,496,398,887,327,780,187,291,326,922,193,
958,849,493,305,165,189,579,163,384,331,821,936,687,460,539,144,380,723,264,
840,030,491,460,913,482,200,477,795,674,525,783,905,811,006,796,827,030,119,
517,228,414,825,279,059,371,173,569,666,368,938,779,672,159,461,573,936,648,
620,128,360,588,302,946,138,609,518,577,154,312,475,695,666,893,877,125,615,
016,319,609,587,640,868,484,054,176,607,005,405,058,977,200,438,141,192,687,
467,978,741,309,164,827,667,154,752,986,235,545,488,897,457,212,070,565,771,
998,091,840,237,114,908,733,274,112,355,199,704,614,077,679,641,263,413,166,
535,435,487,128,349,914,628,745,778,585,249,575,585,055,181,819,676,933,952,
135,734,590,487,364,799,737,661,012,476,745,676,785,335,455,069,682,796,521,
874,662,605,043,487,311,518,916,874,259,871,498,006,739,179,278,901,080,077,
309,718,957,627,517,740,613,304,257,470,915,663,475,240,648,137,765,243,005,
926,492,049,176,648,703,531,717,157,864,217,866,300,972,617,428,288,594,555,
316,007,018,421,750,212,724,013,824,003,886,666,317,278,267,580,272,093,195,
199,132,431,932,580,373,947,960,050,893,478,774,820,898,225,361,032,297,721,
201,623,025,690,310,335,360,394,698,239,710,465,687,724,264,553,953,689,792,
940,894,603,677,231,639,734,446,392,095,606,850,611,052,363,536,312,222,880,
949,945,124,173,496,176,432,620,583,829,829,200,156,030,049,467,935,797,751,
938,703,947,656,771,819,115,438,569,490,061,800,360,690,186,568,616,065,100,
010,063,439,273,285,356,517,096,004,126,003,439,314,090,364,199,750,650,838,
051,943,729,011,329,895,778,232,026,809,232,092,412,264,135,271,018,376,953,
380,287,186,763,628,718,614,387,112,028,243,682,376,553,134,959,121,902,178,
275,253,800,838,601,667,115,322,244,518,449,057,879,526,178,198,776,958,597,
268,490,439,773,614,650,845,851,309,616,657,508,135,467,020,738,859,876,157,
450,596,001,292,289,231,595,709,377,973,641,565,794,800,448,953,090,831,659,
182,685,226,986,515,105,518,527,386,104,309,292,378,093,309,375,103,699,789,
472,160,475,489,047,186,460,095,181,030,493,076,947,098,503,438,377,545,443,
949,301,352,366,715,887,414,287,101,010,134,937,222,103,685,420,439,263,956,
207,261,755,424,387,466,026,489,851,689,713,521,916,969,613,520,616,789,568,
753,855,016,168,593,812,377,176,181,496,717,740,205,447,306,066,690,995,513,
454,074,244,071,201,072,451,556,564,142,726,553,363,792,874,517,286,260,552,
281,652,222,638,463,511,732,874,983,499,494,845,531,305,713,843,017,273,158,
897,132,759,299,999,719,829,688,052,703,275,413,112,812,815,798,595,836,827,
795,593,514,268,966,879,188,700,665,148,579,691,318,540,058,040,701,434,794,
397,156,588,792,716,609,788,279,919,626,039,452,650,618,531,260,482,068,501,
352,821,283,241,305,344,507,406,578,339,707,882,442,950,213,062,288,783,262,
170,003,320,801,901,676,727,190,338,221,298,894,271,558,026,820,694,687,928,
536,996,802,628,312,699,187,392,481,990,904,745,781,988,833,152,759,331,814,
695,881,995,527,158,113,075,712,422,988,400,128,517,505,975,260,384,644,258,
015,723,009,426,213,500,861,979,032,585,781,578,750,033,707,859,526,962,146,
212,892,774,036,403,606,892,445,538,461,808,813,950,791,483,094,954,354,794,
013,445,018,264,208,133,741,776,351,504,165,698,004,228,865,347,698,187,361,
693,485,857,583,902,520,072,704,569,174,795,628,580,664,332,194,570,645,214,
031,264,256,438,797,471,273,127,418,726,526,665,897,015,026,460,559,042,326,
973,720,819,504,493,259,450,532,815,371,731,776,229,378,652,469,686,062,272,
965,696,751,447,127,564,842,832,759,821,826,830,590,961,344,436,173,939,941,
463,363,019,473,215,921,441,170,968,574,234,216,978,349,121,248,842,263,981,
642,830,764,457,823,411,740,352,296,001,585,872,249,627,707,443,573,760,277,
376,693,290,997,484,770,991,288,241,099,723,813,217,691,465,154,683,132,954,
554,166,216,916,152,028,757,630,207,249,300,280,136,541,543,349,742,486,965,
723,389,585,699,515,892,830,346,657,489,581,608,299,664,464,466,369,177,390,
299,172,365,917,370,595,282,348,323,339,621,557,592,021,395,822,897,582,049,
466,753,519,197,394,316,653,360,040,366,263,259,427,948,377,613,152,562,771,
419,434,783,622,930,381,498,310,066,660,244,182,529,971,889,354,498,583,647,
748,553,664,463,083,072,540,316,890,496,904,224,871,356,568,587,216,449,909,
161,949,337,192,998,992,450,080,614,712,684,547,557,394,692,780,396,226,172,
707,727,305,065,326,417,296,375,135,354,692,682,233,356,646,853,384,903,073,
696,948,305,989,542,730,195,657,361,079,128,266,529,481,623,531,813,978,345,
085,426,626,639,108,616,463,850,724,787,483,338,222,787,457,120,982,926,899,
666,673,650,719,521,082,936,957,275,638,659,686,107,572,644,149,456,043,956,
736,864,547,733,010,190,687,021,156,570,551,375,981,066,706,449,320,635,345,
496,801,711,168,803,322,612,493,515,710,064,455,979,805,130,362,723,557,315,
525,945,667,258,337,395,645,457,604,551,707,983,280,198,072,651,827,969,791,
009,650,143,738,082,493,549,639,817,720,639,773,673,496,418,198,950,484,271,
881,478,855,538,907,738,025,137,641,689,117,842,608,941,061,384,938,702,700,
233,482,973,036,452,557,647,861,081,567,619,833,104,734,713,830,859,741,233,
050,096,796,639,736,346,871,794,415,833,809,182,355,942,253,272,057,856,801,
260,138,201,700,160,275,794,315,275,481,307,118,374,126,564,136,321,826,531,
074,925,850,699,660,374,952,117,052,192,144,706,142,223,111,256,325,790,374,
094,876,735,850,080,397,711,580,553,815,040,115,634,057,839,632,009,250,233,
546,374,887,088,369,145,138,852,697,875,602,518,367,752,124,209,179,635,436,
830,566,838,731,491,192,425,255,753,650,852,742,770,999,074,267,469,898,503,
429,488,957,088,599,443,694,501,194,544,452,250,016,584,944,374,300,127,907,
047,607,003,586,544,440,889,647,797,841,683,615,538,399,505,805,634,505,900,
199,459,236,077,541,650,030,042,298,374,670,400,460,540,445,242,302,440,865,
060,227,533,771,813,053,134,149,900,090,858,111,805,748,802,524,535,273,676,
311,315,986,640,648,948,612,972,763,478,000,935,680,600,935,922,895,925,249,
054,389,291,958,646,613,241,832,661,448,964,596,699,852,922,632,794,791,879,
055,518,004,491,573,148,295,745,804,584,157,263,106,922,122,785,568,439,832,
766,704,314,201,617,445,610,295,986,497,217,684,065,945,742,584,679,957,853,
744,813,988,031,072,961,996,787,054,437,193,224,002,794,479,958,280,636,244,
246,095,435,335,602,490,762,301,502,073,534,987,221,113,968,449,996,047,573,
856,967,453,431,348,421,613,143,774,693,514,175,050,340,304,350,327,869,340,
781,972,438,371,288,839,551,692,330,765,415,756,139,949,805,663,993,967,058,
175,012,450,082,582,616,181,231,963,688,176,308,425,149,927,784,304,415,115,
752,204,598,020,741,712,585,492,240,192,477,027,425,278,193,002,116,185,864,
266,455,623,129,128,305,471,825,999,762,796,394,819,076,601,402,697,302,467,
871,357,674,292,950,187,092,742,978,350,824,898,186,437,605,285,590,238,524,
950,416,032,064,719,240,434,082,054,290,188,487,632,280,367,215,024,667,122,
243,924,008,992,969,430,501,820,193,282,457,251,050,885,469,304,392,423,214,
614,550,121,526,374,509,505,000,272,957,797,088,494,880,588,736,733,665,558,
524,574,434,677,092,836,853,176,929,569,684,261,860,453,277,839,478,374,170,
314,075,446,119,611,854,537,403,311,233,580,920,001,396,094,256,844,403,338,
285,560,214,425,999,728,855,467,532,826,791,767,601,886,474,358,023,328,356,
661,343,746,874,866,387,114,092,802,613,147,164,203,433,351,389,438,580,313,
183,146,833,505,509,078,315,047,387,362,158,177,670,756,021,070,206,947,971,
966,148,648,926,871,502,159,360,343,345,193,450,792,343,955,708,124,144,918,
949,543,684,918,846,959,355,628,821,619,745,067,946,842,142,694,640,624,462,
302,753,891,860,792,103,955,817,051,687,822,793,546,556,373,032,144,000,342,
323,600,405,673,141,739,220,140,503,007,981,871,645,135,881,034,830,570,855,
963,160,043,967,788,271,454,761,184,005,478,155,521,362,505,082,775,283,117,
526,880,925,120,301,884,674,349,105,845,654,298,217,822,953,105,258,109,701,
409,291,121,830,221,722,078,329,481,417,328,161,210,903,240,686,917,433,064,
555,991,841,663,309,049,628,870,897,894,675,873,220,807,888,725,111,473,377,
993,938,634,313,595,167,391,071,543,705,029,064,468,887,738,008,182,135,739,
446,562,687,197,911,373,191,467,920,930,107,312,236,907,284,190,344,611,610,
016,517,732,556,140,831,560,830,468,094,476,040,298,003,332,136,388,721,997,
494,431,867,876,939,593,228,717,440,592,753,951,829,814,130,258,950,225,043,
943,625,831,400,178,616,035,143,076,230,192,020,086,315,779,094,356,414,537,
499,746,468,361,658,833,507,141,804,038,543,056,643,911,210,635,193,382,320,
789,129,740,994,533,470,769,108,684,958,359,169,907,949,583,487,138,121,131,
827,356,066,679,788,418,562,560,168,172,070,018,063,428,497,035,919,746,021,
936,853,003,429,342,729,663,666,789,106,530,983,051,973,288,345,636,772,282,
749,679,193,919,523,598,823,136,304,638,905,298,369,684,948,705,700,210,971,
980,724,902,026,241,900,790,252,877,193,698,420,788,254,201,673,940,583,329,
267,421,290,287,757,682,697,116,735,141,407,082,774,739,060,048,094,966,411,
670,360,813,217,837,819,592,725,122,978,347,796,800,281,365,136,879,828,464,
508,500,405,387,339,585,555,836,225,542,807,935,438,001,595,696,631,132,568,
705,122,564,468,235,115,972,775,056,170,289,493,281,366,941,726,314,100,636,
882,808,255,332,351,788,148,404,466,905,015,612,516,217,370,535,222,546,818,
145,898,285,852,063,368,918,240,410,189,846,462,310,923,620,459,336,394,596,
483,876,858,355,788,514,383,260,258,413,886,401,996,133,189,989,964,708,845,
304,457,070,310,624,249,074,287,086,543,473,437,438,734,359,416,032,227,890,
052,088,078,492,016,011,921,515,741,830,243,473,504,355,598,479,767,183,431,
686,402,526,685,490,692,227,265,368,340,303,445,217,396,340,216,213,050,868,
849,628,646,710,935,336,710,197,787,133,360,805,160,202,262,774,460,684,109,
525,724,808,583,489,010,200,929,667,416,122,779,112,635,412,340,367,255,712,
619,629,931,948,514,785,260,763,647,214,262,806,753,431,229,520,336,324,673,
345,003,270,838,972,144,610,229,174,186,924,649,239,113,272,623,437,300,346,
919,161,224,847,062,015,620,928,261,187,688,101,591,467,240,468,912,732,690,
140,087,829,143,802,905,609,012,617,414,429,155,007,418,066,682,363,586,715,
212,388,425,925,124,401,345,621,741,948,892,075,911,492,006,785,914,670,691,
268,862,548,003,595,524,689,266,756,685,830,934,665,494,188,197,405,856,173,
635,520,090,755,306,370,632,519,802,274,925,639,834,770,241,563,877,882,959,
465,877,175,757,554,605,201,414,665,205,491,180,228,360,812,080,533,909,327,
753,446,602,958,682,140,119,268,277,233,096,546,117,846,919,811,036,224,387,
292,191,433,660,187,184,813,237,025,653,111,993,252,043,225,989,411,159,749,
082,008,428,957,933,198,898,877,015,915,527,182,250,005,317,301,550,128,141,
519,085,235,021,271,814,469,741,805,845,803,809,565,175,281,824,300,924,944,
715,775,341,504,046,420,760,707,054,955,973,592,627,359,222,218,094,648,721,
524,979,952,423,275,225,976,956,127,068,191,428,461,006,587,304,255,341,422,
730,938,440,491,172,966,506,205,927,140,235,694,637,366,849,581,479,773,711,
222,746,742,260,243,718,276,362,339,141,712,987,577,625,915,944,365,409,041,
369,060,964,525,543,771,388,169,655,483,193,938,627,507,202,603,563,694,146,
447,720,177,320,792,889,862,017,745,725,879,570,208,099,221,308,219,396,965,
265,931,795,968,627,375,585,911,544,289,878,966,177,449,312,027,363,272,748,
271,545,286,661,322,184,565,234,412,774,137,912,006,595,607,136,063,682,013,
220,106,546,460,593,075,301,436,672,111,476,703,198,250,252,529,470,799,813,
925,944,145,790,628,845,933,107,817,129,165,733,766,720,863,920,103,873,428,
350,942,086,037,523,328,087,864,541,538,144,917,647,438,213,319,818,613,649,
255,350,827,405,473,522,046,539,428,633,744,741,395,604,651,134,074,527,938,
694,739,307,000,751,253,159,708,907,917,757,713,364,058,026,380,613,820,137,
056,476,112,128,600,298,119,353,847,114,372,799,997,200,369,623,204,636,305,
725,116,016,708,283,729,323,211,333,448,617,933,605,174,197,936,208,361,192,
562,602,389,862,425,068,270,765,885,574,877,546,040,082,272,555,127,524,862,
029,995,605,241,232,396,102,714,320,397,131,904,278,204,008,380,629,884,655,
020,521,975,171,106,267,322,878,043,763,979,710,193,672,919,082,578,569,698,
938,888,747,990,766,054,881,097,367,955,470,771,790,700,063,678,110,512,542,
397,317,752,990,636,537,636,435,958,890,779,728,960,209,863,036,588,614,510,
868,599,628,330,728,872,272,853,798,421,181,877,468,820,227,436,678,817,191,
667,885,711,615,878,475,641,563,071,494,004,086,161,051,506,487,389,115,673,
057,989,227,344,453,336,998,145,743,372,573,207,348,497,210,576,648,054,797,
637,951,496,214,935,889,187,828,257,255,550,120,151,751,989,955,658,036,402,
122,881,320,022,629,263,643,498,427,540,444,120,076,264,825,302,526,951,172,
592,313,379,154,101,383,520,248,633,660,731,063,455,028,730,621,459,727,617,
844,835,060,097,541,187,167,092,787,145,118,980,118,430,920,274,465,638,450,
744,398,596,318,484,782,080,502,418,992,112,263,444,754,345,690,235,698,885,
461,055,499,068,194,537,912,501,259,095,279,609,162,536,963,139,779,861,502,
897,386,240,744,405,027,855,852,242,640,592,908,996,250,033,096,267,206,819,
418,563,947,962,808,406,385,689,942,111,232,313,764,511,587,402,850,774,500,
887,008,728,987,153,965,365,693,221,490,574,732,090,483,367,069,949,947,134,
719,424,036,677,210,634,664,891,326,582,389,616,350,123,173,595,036,498,427,
875,568,511,983,718,024,174,701,317,398,090,039,785,663,925,379,090,476,946,
494,456,717,030,226,050,966,309,586,718,260,648,006,668,775,900,330,039,449,
717,476,228,057,278,448,551,242,314,509,581,295,134,750,226,624,838,341,016,
826,323,264,057,705,635,503,355,110,378,096,798,871,643,548,676,717,481,280,
203,473,447,805,404,320,417,375,935,423,166,178,763,351,738,677,060,114,379,
966,674,943,278,685,861,682,002,512,700,134,187,579,195,501,513,413,090,571,
200,859,285,729,309,249,555,966,653,227,424,019,029,182,081,829,402,556,143,
426,143,977,996,604,346,361,290,198,619,494,375,380,880,512,840,989,272,736,
553,643,067,203,943,802,007,755,221,639,423,843,193,460,639,478,065,114,528,
503,757,867,834,359,234,658,249,726,207,809,640,662,185,708,989,920,360,461,
005,555,861,728,221,997,744,499,415,864,850,296,601,780,341,628,214,652,793,
212,637,638,764,440,394,377,730,300,243,169,947,723,659,926,120,124,434,132,
166,632,443,314,724,019,854,043,909,301,245,218,361,568,868,029,514,233,242,
033,356,278,234,842,478,096,498,853,838,266,105,094,193,066,851,704,528,946,
538,674,714,058,320,959,076,814,178,744,723,085,213,217,700,223,017,374,943,
982,040,317,038,487,915,943,812,017,402,174,732,661,083,972,642,027,714,401,
866,517,072,648,104,625,618,709,772,999,958,919,052,867,062,631,889,505,280,
230,328,404,856,713,820,128,655,936,917,355,333,908,425,430,416,666,354,662,
644,419,329,386,140,706,663,733,860,497,930,194,755,567,796,718,273,226,492,
180,802,820,069,159,609,831,548,892,877,288,960,856,872,468,509,092,285,387,
397,346,404,537,308,070,316,004,461,314,007,005,521,125,647,588,596,644,379,
969,648,557,575,314,207,981,622,952,556,949,984,274,308,281,279,635,968,493,
761,187,626,810,292,250,246,428,912,552,089,042,908,349,199,056,579,380,096,
325,031,311,305,092,693,166,346,344,759,317,367,932,535,890,891,645,189,336,
533,783,460,437,591,668,912,589,209,940,032,144,098,279,781,428,750,717,416,
321,618,626,892,857,752,735,963,238,331,122,914,239,381,529,172,735,406,777,
615,944,097,021,248,730,123,888,635,490,292,725,769,615,485,049,350,462,695,
519,890,923,649,055,234,750,757,259,929,656,820,003,562,314,133,636,133,056,
192,700,247,965,517,093,910,630,864,092,169,590,259,615,614,860,342,784,524,
769,723,019,689,962,471,021,203,046,836,124,512,586,726,244,895,905,533,803,
489,130,291,185,394,963,124,345,664,880,396,491,272,826,720,411,693,223,174,
681,198,918,345,886,479,624,631,471,044,655,294,203,652,768,714,605,738,029,
503,423,884,586,663,848,988,756,698,454,064,927,035,700,238,515,463,430,811,
398,048,673,830,726,641,497,433,817,332,432,263,660,161,818,315,679,967,960,
476,143,260,129,759,416,128,431,391,782,065,233,776,093,443,777,788,385,283,
951,426,633,618,597,211,256,584,172,681,119,041,958,219,232,165,926,851,161,
361,535,490,876,671,949,312,906,122,876,717,604,225,103,422,718,495,126,518,
082,888,084,846,484,357,796,564,888,262,104,890,249,674,689,743,401,007,471,
263,995,133,543,975,067,721,054,508,203,516,095,554,247,222,397,143,045,090,
583,898,235,468,523,490,835,313,066,484,751,050,309,135,127,333,952,921,517,
518,691,858,650,419,754,048,738,947,500,817,132,337,213,808,557,549,295,345,
898,265,149,958,206,418,904,147,625,056,975,531,808,396,390,704,843,236,639,
125,816,031,371,977,165,205,698,236,528,387,640,754,643,002,506,623,143,372,
313,544,863,016,904,458,460,010,166,091,712,009,677,943,401,110,710,561,823,
168,635,067,997,629,624,646,923,222,635,841,832,232,397,670,466,864,130,264,
355,185,292,791,237,007,844,489,968,634,037,445,827,593,421,847,566,110,661,
458,463,627,327,119,415,618,521,378,581,735,323,324,967,724,312,425,502,215,
189,213,504,882,531,649,247,736,861,616,762,913,605,799,213,742,997,269,186,
903,988,094,757,145,180,405,196,133,605,733,801,535,735,438,874,204,405,708,
439,565,322,404,312,529,095,273,228,545,600,956,767,904,615,745,836,543,948,
906,670,714,104,853,092,650,384,133,152,922,068,604,376,163,384,542,722,759,
036,807,244,169,628,106,159,005,390,851,558,460,356,846,012,754,010,680,266,
069,182,303,836,643,198,570,713,606,740,749,764,169,950,129,650,747,072,255,
297,703,348,924,632,063,840,793,806,568,156,587,281,140,664,098,291,839,930,
122,925,219,540,976,870,107,394,093,888,711,289,406,508,762,068,885,492,153,
325,550,907,377,090,597,679,512,607,129,479,159,167,535,298,355,326,916,257,
518,765,599,192,732,316,347,134,249,299,041,923,858,139,674,981,396,635,582,
297,160,092,273,519,756,028,381,077,668,506,054,122,286,870,116,196,017,475,
688,047,793,116,681,971,298,140,719,833,849,029,390,913,337,186,048,190,378,
770,280,662,873,119,642,776,528,908,792,374,084,835,011,497,496,267,932,764,
867,148,885,162,729,851,507,542,526,273,305,959,521,204,788,575,055,304,513,
747,562,797,230,355,236,855,738,344,041,349,731,227,335,556,888,758,668,863,
397,083,594,442,828,954,688,090,309,625,764,426,831,136,821,847,198,994,471,
426,224,248,362,789,343,595,451,724,685,321,120,184,246,887,401,433,156,605,
659,885,604,437,358,857,310,227,447,663,468,851,529,024,163,634,583,516,482,
258,664,989,195,530,684,849,338,060,751,130,728,345,802,977,458,556,825,849,
955,203,739,043,816,513,123,592,420,352,869,503,951,760,921,678,039,212,245,
031,037,952,155,779,944,291,652,380,869,841,613,691,406,099,772,781,229,077,
718,961,078,698,378,477,137,354,378,877,790,969,867,447,614,186,975,838,057,
244,528,915,809,568,616,814,423,316,366,011,598,153,933,453,475,879,128,887,
921,005,535,214,516,427,665,340,626,288,022,185,600,539,880,628,460,285,565,
593,736,741,499,788,548,575,139,032,069,214,183,729,007,550,452,665,608,110,
109,622,642,110,977,989,232,859,696,057,841,346,000,020,897,534,392,691,232,
003,352,207,937,015,604,863,277,709,408,963,057,413,576,331,981,607,274,396,
325,395,535,170,221,090,889,393,578,879,932,905,719,856,321,990,574,853,578,
247,105,509,755,213,115,959,051,567,512,961,625,144,739,463,948,413,054,681,
051,390,801,474,364,457,655,657,556,191,661,687,618,689,547,521,294,878,216,
025,602,168,957,302,068,538,571,339,237,106,701,359,793,425,246,946,691,818,
237,996,107,418,251,126,433,721,409,517,593,041,625,814,835,464,844,445,883,
992,391,797,050,074,447,924,444,232,497,648,063,538,483,731,189,425,445,983,
441,548,093,526,802,044,898,802,863,016,828,576,392,354,327,180,654,434,124,
183,043,556,383,729,155,683,928,603,740,873,142,450,025,617,843,167,554,922,
037,255,788,571,012,076,734,712,713,755,960,582,908,768,166,105,396,990,239,
695,082,230,067,233,533,138,331,679,993,738,309,686,435,088,594,078,987,710,
634,189,880,598,247,823,816,521,028,295,758,523,318,849,613,784,102,269,479,
388,067,319,594,373,209,022,574,778,695,659,360,634,509,110,749,791,083,077,
825,524,470,735,663,609,858,660,629,943,386,020,276,586,132,144,349,158,744,
479,051,216,586,711,199,584,849,611,022,549,155,824,499,068,740,446,435,327,
521,476,223,321,305,126,609,513,363,638,201,918,116,561,662,238,475,608,036,
099,630,385,676,695,805,301,000,586,957,644,371,528,567,846,584,452,133,269,
704,433,399,418,402,003,418,205,912,373,763,783,660,098,755,570,511,902,193,
522,597,428,673,702,995,221,974,589,381,521,853,290,484,570,263,254,864,458,
653,323,113,201,722,833,440,328,971,312,695,646,153,126,336,313,231,181,201,
933,724,665,658,601,356,918,688,767,418,166,297,159,781,658,142,972,421,327,
809,808,218,999,826,670,160,665,044,927,537,890,852,886,662,065,245,406,137,
656,066,306,475,152,309,625,831,158,188,099,825,364,443,300,301,310,350,287,
694,507,624,854,688,691,642,609,450,385,562,854,253,382,279,080,043,868,466,
883,443,315,880,554,684,599,415,512,378,389,419,095,846,505,080,118,138,933,
239,405,256,225,954,460,073,984,620,929,286,521,471,545,113,067,061,272,841,
243,192,884,125,937,459,601,470,248,736,779,955,346,621,852,896,029,775,773,
462,919,167,223,906,784,883,620,992,788,913,323,762,331,057,762,609,850,802,
343,807,141,824,308,798,404,663,690,463,964,750,879,861,259,038,451,258,750,
624,527,389,556,372,539,842,722,722,575,775,615,423,919,149,148,349,630,264,
008,160,765,882,700,400,615,954,006,435,536,705,053,609,788,986,534,819,980,
856,209,615,812,730,202,189,288,989,982,371,856,876,615,978,870,187,730,129,
443,829,383,816,771,329,525,289,915,211,686,644,496,471,067,512,799,163,637,
176,884,497,154,944,007,106,078,035,521,068,328,460,645,861,661,169,726,903,
999,871,863,740,976,182,588,774,286,335,940,223,983,630,940,153,602,387,487,
308,789,584,556,025,872,035,254,047,305,686,746,228,367,656,664,470,240,882,
414,243,906,951,814,047,957,605,182,527,293,834,541,770,443,590,080,630,928,
286,145,892,605,537,856,683,791,589,416,436,227,281,976,267,355,025,889,549,
239,599,016,707,511,040,434,312,416,700,049,470,546,681,879,932,336,363,051,
820,491,025,738,489,109,252,144,490,069,590,312,141,922,833,051,242,610,634,
039,845,649,923,636,953,199,355,852,943,330,484,621,395,611,936,760,650,009,
755,379,405,802,027,919,451,173,654,937,569,968,801,980,602,289,213,733,570,
496,111,495,068,825,630,817,424,912,144,199,614,704,755,460,489,639,640,444,
865,791,580,957,131,766,986,949,499,972,017,844,553,601,150,663,837,654,865,
067,459,490,954,240,162,706,394,884,200,277,962,586,465,091,649,625,795,949,
892,517,254,303,325,348,738,186,236,931,071,761,638,939,543,706,244,717,356,
827,628,534,073,000,255,382,020,652,794,672,977,436,108,763,541,096,702,128,
066,649,428,944,085,183,691,806,463,284,692,444,480,521,657,980,812,198,607,
958,481,640,309,718,971,948,447,466,411,475,081,714,431,313,101,044,244,139,
558,544,690,943,322,160,898,619,948,381,590,271,917,265,798,796,959,483,665,
941,437,666,196,683,664,917,757,375,919,682,302,733,332,062,712,613,189,144,
758,142,363,955,997,917,586,375,023,028,967,017,751,772,456,338,917,431,200,
332,306,909,966,199,716,225,722,304,295,549,103,347,897,239,074,838,913,916,
501,913,996,426,473,152,278,397,774,581,653,677,778,205,747,175,908,492,834,
215,230,446,523,226,572,310,170,852,776,578,806,254,551,995,928,758,522,019,
754,890,960,470,973,567,340,646,988,457,313,529,665,728,025,425,691,424,347,
929,069,063,014,661,637,997,709,941,611,333,739,127,003,250,522,989,659,251,
839,530,314,184,456,085,896,693,507,669,366,341,096,581,745,384,977,405,043,
690,851,525,267,841,617,353,831,754,178,468,472,344,424,295,514,843,973,410,
231,684,340,952,206,463,404,614,494,302,966,373,644,413,412,832,040,829,067,
105,479,132,251,415,885,156,391,026,631,462,956,632,855,565,822,606,313,717,
169,747,718,613,599,047,086,282,808,105,664,278,869,897,176,191,091,848,675,
730,646,137,666,746,925,552,659,318,932,189,295,939,095,147,159,915,252,192,
718,110,489,009,059,638,262,327,554,923,332,556,831,840,349,139,850,826,711,
010,828,618,943,122,867,528,708,452,798,775,439,048,839,551,757,141,110,925,
101,932,793,843,878,186,316,527,843,710,030,613,912,308,119,641,238,596,912,
132,584,550,317,639,534,621,442,325,246,072,670,403,387,734,637,961,674,690,
937,705,647,199,153,478,212,485,727,746,189,156,435,105,917,831,374,118,298,
512,071,790,195,994,452,401,147,686,707,562,441,144,720,186,992,754,958,231,
108,363,135,646,032,515,264,268,361,630,439,807,733,985,034,903,098,773,959,
177,216,315,384,118,388,747,579,051,744,826,673,784,368,166,133,438,755,101,
031,145,289,692,720,523,520,472,908,102,237,694,719,373,435,641,596,146,311,
302,474,754,548,586,659,836,472,294,207,157,035,629,805,584,708,285,987,914,
005,604,226,257,745,818,634,184,977,337,899,163,806,529,758,427,995,218,678,
395,804,268,004,464,649,349,846,107,502,495,036,431,949,597,380,705,366,048,
580,822,455,392,577,719,752,704,007,436,968,648,210,147,733,582,360,546,565,
166,726,707,682,216,336,339,853,561,771,335,065,897,175,105,017,854,762,485,
341,380,447,943,641,333,996,624,021,825,171,863,924,027,954,077,104,887,996,
457,773,558,001,497,044,228,423,988,196,861,457,382,652,591,311,731,473,845,
953,937,514,963,122,934,111,490,649,717,619,350,252,085,263,842,165,018,426,
017,831,864,195,645,158,090,838,324,978,003,822,122,162,407,010,204,463,584,
582,585,794,811,522,700,436,786,038,199,315,992,699,896,538,646,152,643,078,
179,879,680,715,289,526,728,775,913,448,072,618,689,716,991,479,540,181,708,
018,097,267,010,393,507,350,674,369,181,135,330,543,645,098,348,764,286,367,
407,605,798,324,513,437,649,979,496,959,209,283,500,941,649,469,338,513,905,
812,677,430,592,756,566,122,696,006,570,956,857,733,994,472,073,742,815,417,
710,003,743,768,377,156,703,890,933,860,495,368,404,663,974,491,387,436,264,
077,578,027,266,536,324,000,670,447,019,337,506,290,643,344,142,279,323,069,
191,534,849,005,244,994,639,205,034,718,742,456,037,182,116,853,455,725,236,
550,634,768,121,766,891,641,500,873,357,236,597,386,896,049,071,898,467,771,
510,856,711,234,801,047,553,734,151,172,428,721,242,282,771,014,937,104,009,
035,085,575,786,037,119,830,823,493,197,225,145,947,500,980,027,952,326,827,
442,206,617,040,536,975,418,094,964,362,736,771,337,826,637,195,894,809,271,
137,442,229,791,774,938,499,490,416,739,831,481,553,041,205,643,332,232,973,
167,711,860,931,561,740,877,828,774,727,352,520,895,637,697,573,401,459,817,
267,005,203,803,202,527,717,831,719,291,722,945,499,495,817,769,877,295,141,
379,650,365,303,157,994,841,155,931,233,756,023,376,020,124,988,311,145,443,
930,417,770,158,080,731,118,784,202,283,544,495,125,341,890,932,906,544,748,
697,105,054,698,708,209,027,494,485,719,920,850,369,991,053,740,094,919,376,
047,779,737,147,341,542,453,219,869,757,515,152,558,944,800,148,595,860,837,
153,951,213,687,479,253,165,745,830,744,566,317,133,195,342,400,311,251,960,
849,714,305,364,857,792,009,386,855,918,328,513,715,115,766,373,108,922,831,
972,790,328,117,636,878,492,160,363,202,373,539,086,199,180,317,358,842,853,
684,228,993,023,300,386,352,221,299,781,351,961,305,936,550,747,410,912,784,
340,002,043,243,815,755,589,671,558,236,767,624,763,183,421,924,474,790,343,
491,492,719,681,396,641,269,705,770,626,468,316,221,740,109,184,883,502,871,
503,751,156,230,822,103,001,586,885,906,454,976,530,298,638,626,200,897,140,
769,446,703,216,712,652,205,916,617,725,973,158,108,970,353,111,298,301,082,
817,523,604,936,730,632,487,001,444,403,752,922,485,374,626,958,925,741,219,
534,853,397,032,736,132,446,109,649,318,392,435,524,466,108,036,505,014,032,
821,339,551,845,904,413,235,323,198,754,433,670,147,308,211,015,693,482,524,
233,450,750,405,800,023,567,579,322,500,012,070,879,665,885,294,248,461,466,
935,785,464,113,411,903,121,790,112,346,923,190,608,415,059,177,391,645,651,
399,279,507,167,814,719,005,575,677,788,126,590,297,899,135,151,187,962,134,
041,230,459,280,560,263,495,325,821,516,016,950,221,533,484,839,059,641,114,
604,045,329,050,718,221,802,450,563,272,619,081,299,443,971,463,521,302,906,
466,810,109,430,014,697,398,373,422,160,292,164,311,896,666,885,528,758,900,
517,425,440,106,697,228,135,164,163,868,440,328,013,080,088,096,103,163,723,
340,846,063,599,412,243,173,048,957,652,758,129,503,814,256,044,026,683,310,
819,693,157,075,108,444,181,021,362,555,537,005,967,406,810,923,544,865,762,
287,885,994,940,915,471,155,119,214,042,387,425,489,995,760,551,532,457,501,
527,843,187,808,624,710,009,030,689,493,284,959,760,279,352,097,585,186,538,
975,336,589,532,275,930,873,836,795,485,505,114,604,412,784,313,225,124,589,
248,867,744,795,836,727,815,767,547,368,002,981,406,478,780,569,549,504,505,
678,192,445,133,744,489,385,337,565,973,939,799,751,441,217,891,593,926,444,
914,019,639,777,872,268,988,155,333,933,652,345,864,890,775,873,789,312,280,
241,169,162,654,878,731,669,702,883,113,622,909,614,115,701,415,356,098,339,
090,799,535,745,847,598,692,104,327,147,190,196,631,712,299,260,291,369,942,
156,248,448,376,559,294,382,192,686,540,659,119,710,109,442,591,522,990,365,
101,855,733,491,949,145,225,961,937,652,244,177,527,821,153,398,383,683,927,
180,404,733,852,348,047,022,355,411,279,167,741,761,663,497,586,523,263,596,
571,095,733,621,336,587,177,845,908,630,490,294,164,232,357,046,581,219,149,
588,453,912,564,201,282,347,436,839,527,606,961,621,159,290,382,813,742,924,
819,333,154,497,495,530,407,879,740,959,790,888,700,744,024,475,709,147,196,
661,801,407,254,067,862,577,599,473,041,816,129,405,384,035,770,154,374,751,
448,605,723,329,580,977,883,739,809,079,734,326,609,375,396,467,487,096,724,
693,023,415,713,388,265,736,070,092,464,902,531,362,646,870,508,991,858,530,
430,277,366,028,957,239,692,221,238,985,851,092,173,112,987,447,417,964,311,
809,459,547,133,404,972,129,001,863,208,071,814,051,368,307,299,076,093,147,
202,656,259,142,637,182,946,623,528,940,173,193,779,324,448,184,722,269,873,
108,712,328,656,133,290,827,048,486,757,251,762,517,847,416,641,345,280,880,
521,693,492,432,950,128,071,046,569,227,806,486,515,452,422,741,639,986,553,
782,251,219,756,229,570,764,727,855,676,474,041,126,110,781,645,678,049,163,
317,160,867,656,613,880,536,606,852,332,732,432,537,628,389,121,401,551,070,
325,782,996,861,271,423,307,807,521,623,275,008,855,416,413,388,462,056,023,
566,837,649,889,704,371,742,187,282,614,685,575,352,863,560,831,492,127,157,
707,047,017,274,331,877,871,320,904,127,667,420,231,541,059,500,446,772,972,
101,350,941,243,544,841,298,791,086,156,138,899,882,606,251,375,583,412,332,
670,764,325,809,259,001,313,746,191,208,908,195,342,889,388,876,266,709,223,
316,429,102,397,303,601,370,504,515,727,318,509,952,763,321,350,887,185,074,
831,315,778,730,709,224,739,293,697,053,235,474,427,186,315,908,735,835,543,
751,490,128,038,836,056,159,862,333,725,767,287,406,612,413,809,361,877,882,
156,736,246,480,063,377,500,770,344,318,232,067,687,933,388,135,556,901,485,
747,333,595,320,249,914,334,431,895,397,622,674,923,698,049,768,846,569,287,
536,873,954,379,828,175,077,394,599,997,569,831,786,869,851,568,430,432,891,
067,737,606,107,055,462,712,234,977,032,138,270,806,593,989,860,025,933,150,
880,321,247,806,826,596,578,484,622,566,769,121,780,516,526,760,249,003,111,
689,425,824,635,534,137,304,860,981,749,092,696,330,407,042,151,783,450,989,
710,244,986,130,405,132,868,642,261,105,579,858,971,534,475,355,803,096,157,
030,589,772,111,685,796,810,734,286,052,545,417,090,935,643,156,140,037,198,
199,813,126,664,110,759,975,755,652,845,909,275,287,106,168,999,528,640,989,
365,885,465,511,371,895,670,880,488,630,796,379,153,704,905,972,006,103,820,
019,538,805,794,781,057,003,637,007,657,305,011,966,249,487,528,609,037,763,
118,512,743,443,744,973,329,722,953,139,161,003,711,897,936,917,906,691,244,
270,689,900,232,007,912,214,153,846,283,378,458,104,756,567,147,226,599,194,
863,241,062,186,672,891,731,383,190,357,051,352,137,736,343,613,817,446,213,
419,414,387,366,643,196,582,445,791,931,122,816,226,371,126,694,463,433,475,
612,490,997,772,454,909,110,944,910,242,524,625,200,244,121,026,087,362,318,
673,344,308,876,607,513,050,148,984,980,523,519,338,434,552,971,368,491,244,
282,860,017,989,386,787,073,335,187,492,073,323,601,417,239,407,340,182,481,
565,963,425,881,258,242,285,581,575,476,710,144,336,163,397,308,430,277,085,
725,208,440,300,404,824,337,246,628,396,853,113,613,132,111,192,972,865,886,
905,325,449,667,937,653,189,724,002,441,199,706,131,681,279,101,710,903,837,
453,571,356,277,627,200,227,838,296,434,822,749,354,296,022,711,992,759,394,
045,222,933,268,222,547,876,072,050,350,930,972,794,662,668,067,197,850,448,
593,243,623,201,091,680,123,362,230,076,724,697,914,524,507,237,588,679,622,
419,943,213,743,753,418,195,544,858,502,306,679,040,114,858,490,046,767,802,
551,581,697,755,339,573,007,874,895,651,589,313,974,293,236,356,236,204,986,
848,996,020,546,091,499,874,080,034,182,579,250,029,920,117,060,410,434,876,
387,526,656,712,693,823,725,781,109,850,150,541,551,265,763,703,669,314,313,
942,769,866,784,522,763,581,208,745,676,319,401,847,858,227,027,044,238,290,
861,548,646,387,640,747,273,734,421,688,286,490,212,844,356,575,062,890,114,
493,895,564,604,659,612,476,123,108,999,786,477,668,794,054,984,787,393,659,
286,671,699,243,077,621,442,880,921,438,459,405,219,862,121,514,338,736,652,
268,509,912,138,231,831,452,577,405,070,242,711,476,373,650,835,563,457,268,
398,165,211,644,666,523,619,287,115,034,489,884,745,939,746,058,361,234,249,
449,089,980,205,656,880,452,262,706,232,478,053,873,270,040,918,730,127,982,
323,625,060,427,867,362,918,875,484,082,418,472,581,129,205,406,979,195,003,
834,798,237,481,754,210,206,439,607,333,845,706,530,529,469,628,033,461,781,
320,305,852,282,394,731,621,675,693,521,839,698,352,293,430,681,665,187,181,
621,309,918,073,579,395,730,643,659,195,266,467,510,502,016,165,798,997,340,
204,495,413,425,545,688,344,547,199,077,792,359,625,076,392,952,870,154,379,
963,627,757,336,565,170,678,466,778,249,771,395,349,182,445,747,872,838,808,
551,882,676,559,247,303,477,463,496,928,712,390,641,143,548,133,897,908,352,
207,539,781,905,387,970,310,120,781,775,481,243,795,035,058,154,916,614,601,
840,205,171,517,258,454,703,027,270,129,578,015,369,574,056,730,903,094,587,
655,225,731,323,431,127,474,877,093,229,618,715,979,636,322,451,311,641,820,
985,536,185,812,523,898,861,368,751,087,201,507,505,576,789,383,576,122,809,
765,914,087,665,404,664,339,412,814,564,316,356,645,830,040,902,204,458,201,
040,208,003,684,199,570,392,455,064,511,831,763,321,656,103,148,071,450,511,
747,699,068,164,772,241,629,452,044,092,489,541,142,870,023,555,962,030,011,
134,031,746,212,833,088,615,229,070,649,604,054,033,813,904,825,457,191,253,
368,848,945,095,907,968,879,032,296,834,084,032,541,429,512,259,429,942,724,
175,605,788,463,468,857,302,653,126,358,499,565,712,300,743,502,387,302,042,
803,774,775,390,946,113,185,345,105,756,425,951,817,042,361,138,896,246,193,
403,562,373,948,208,323,579,691,035,411,020,329,061,315,766,256,303,139,285,
931,844,958,027,115,991,755,229,672,481,340,451,706,207,791,092,810,149,657,
027,671,907,101,390,205,508,905,473,357,996,004,625,011,284,227,614,600,946,
183,737,173,434,367,149,932,791,278,884,036,825,308,125,026,814,163,825,376,
823,112,880,362,915,711,267,629,223,094,138,954,842,539,807,471,048,198,553,
713,021,526,771,017,750,347,432,871,599,254,344,042,436,529,955,777,190,407,
734,358,923,974,486,663,321,801,063,924,898,468,049,217,425,744,529,908,380,
853,452,887,298,277,765,345,192,171,067,832,485,840,031,654,896,808,369,819,
774,455,659,171,862,920,689,007,134,877,024,673,763,800,877,281,857,473,182,
838,266,149,680,997,417,136,074,760,033,272,335,264,387,834,477,435,772,511,
609,408,126,905,872,935,081,051,615,502,043,393,061,133,411,170,164,390,115,
208,039,772,949,188,494,599,126,040,149,626,274,419,909,721,436,779,947,938,
560,957,335,300,279,518,754,666,087,952,820,698,599,561,656,692,953,014,731,
557,850,506,372,570,092,403,775,714,602,641,295,304,757,117,628,144,611,766,
446,665,275,184,986,540,612,305,054,593,187,415,837,279,078,352,819,063,476,
377,439,108,490,898,648,356,693,688,680,258,946,987,998,597,251,924,558,570,
892,664,880,750,943,953,194,870,147,499,938,309,907,549,692,381,667,480,883,
310,107,417,093,117,458,818,035,370,430,360,081,178,863,036,032,942,460,506,
517,203,849,579,700,343,441,659,364,929,251,326,731,178,059,849,587,848,984,
171,136,931,961,259,096,379,058,272,041,977,784,982,928,765,046,705,991,036,
321,289,807,190,578,674,613,441,457,863,800,770,148,650,877,934,386,209,478,
321,762,941,183,764,834,148,340,857,320,682,291,986,735,997,932,274,926,541,
639,595,309,670,297,728,551,116,776,025,405,890,721,484,206,861,038,505,779,
686,817,275,921,309,602,521,118,592,942,126,444,187,194,094,741,885,713,251,
990,955,310,184,355,786,674,168,926,195,846,898,461,607,187,202,605,999,775,
786,805,512,089,875,841,725,347,697,816,728,752,896,520,053,929,591,300,135,
949,400,820,932,287,512,780,366,547,359,048,037,774,956,939,399,682,844,925,
330,747,173,458,643,358,281,496,152,508,658,649,583,086,293,577,004,042,411,
801,525,046,745,768,770,080,068,076,855,838,047,194,564,254,521,355,011,260,
229,561,039,649,776,979,278,025,279,068,109,110,229,107,712,855,978,148,340,
412,337,287,522,417,364,856,221,688,707,315,463,547,916,694,192,440,675,833,
542,180,260,145,963,440,909,948,106,529,242,594,518,404,039,842,463,123,803,
400,713,875,867,043,600,191,095,465,628,410,393,862,175,116,162,833,841,654,
817,927,958,704,019,129,687,848,463,456,265,425,505,949,124,868,791,438,240,
779,344,805,827,815,345,151,829,361,305,361,181,299,676,004,554,330,941,610,
661,035,771,809,526,046,259,422,787,878,917,084,407,225,817,510,255,423,618,
893,627,636,865,492,309,532,586,898,948,950,045,077,012,982,733,232,026,238,
340,429,309,390,823,698,632,919,510,289,993,271,990,524,511,078,032,838,640,
392,490,933,338,521,988,026,133,472,122,068,322,737,045,884,532,765,951,039,
521,576,972,280,868,216,053,758,629,811,335,409,479,395,901,854,378,580,249,
511,441,475,339,761,406,618,957,163,416,487,897,274,980,347,611,910,342,259,
836,814,865,819,195,138,931,565,046,409,324,883,719,404,051,540,593,162,186,
984,437,672,516,246,593,611,821,490,963,785,968,508,529,431,803,901,813,036,
270,473,076,210,305,410,601,665,281,430,299,852,711,864,050,519,507,965,503,
339,463,421,758,985,981,177,505,626,272,553,967,828,396,434,371,937,868,539,
435,500,396,549,319,749,023,449,444,183,506,427,549,623,769,719,248,030,812,
098,051,266,868,614,763,715,043,741,067,154,263,907,376,735,584,791,276,654,
229,115,438,371,577,707,004,776,290,038,651,243,413,477,973,093,844,823,817,
954,717,598,566,927,891,466,590,433,333,769,684,534,923,990,189,713,256,966,
798,771,359,154,075,115,367,629,465,833,616,964,851,184,668,507,334,933,499,
911,171,409,173,706,933,262,999,998,208,787,932,267,069,620,263,869,123,257,
102,348,802,422,012,706,550,261,186,488,428,621,357,507,922,428,694,597,038,
215,807,522,342,280,483,113,528,840,339,487,270,841,154,135,631,485,203,785,
895,169,852,905,533,610,113,690,523,957,399,259,290,425,438,976,378,841,156,
289,703,226,783,245,328,228,589,522,190,662,127,743,188,464,277,584,647,819,
212,106,366,293,580,494,001,739,912,408,592,050,350,640,330,129,788,276,112,
238,503,282,220,463,922,392,543,750,442,229,023,178,307,354,162,861,018,478,
731,485,610,497,436,308,985,370,525,287,306,348,549,671,150,413,781,998,577,
721,074,605,199,742,604,714,003,617,563,505,112,185,712,619,984,273,974,945,
251,388,827,818,603,811,265,091,712,377,906,631,095,252,545,885,722,272,072,
397,978,819,523,499,075,953,135,794,052,216,822,658,078,152,549,198,761,569,
779,498,654,107,026,844,179,776,910,796,774,025,404,359,494,317,648,578,999,
630,107,544,920,806,873,986,659,825,028,394,224,105,937,888,679,442,949,070,
444,024,723,090,597,284,929,438,686,908,472,465,415,334,093,717,304,043,267,
695,338,949,713,766,056,707,323,066,682,529,678,980,890,407,231,257,057,823,
005,141,218,314,688,467,487,976,927,802,782,638,854,693,830,025,551,581,204,
167,446,239,012,824,914,736,102,452,334,770,031,629,163,931,653,895,333,053,
198,655,377,134,041,613,292,152,767,998,411,596,822,876,499,432,972,038,228,
936,103,110,047,835,531,386,050,032,885,389,241,689,439,231,682,475,526,578,
389,959,249,275,461,451,742,822,608,454,877,191,052,163,936,559,794,043,538,
310,214,620,776,871,207,206,230,471,646,484,732,260,179,247,730,554,089,363,
823,135,735,501,325,105,143,356,746,232,185,835,095,901,367,537,227,057,231,
252,925,631,897,355,506,346,560,320,000,466,039,712,204,416,769,457,295,488,
051,057,599,829,467,195,913,086,170,876,894,923,453,039,966,368,040,718,793,
104,138,387,862,835,446,195,800,505,745,129,241,549,919,566,237,955,038,256,
874,891,427,269,515,981,513,487,025,055,072,889,665,361,783,114,744,432,971,
655,980,729,031,619,522,806,059,713,597,135,317,257,049,146,075,918,840,361,
816,218,554,183,019,237,593,412,607,559,936,277,940,152,136,102,360,267,054,
960,251,347,870,267,466,122,560,264,011,036,553,653,511,734,105,552,044,178,
283,325,494,931,580,077,840,614,526,858,209,145,628,594,734,748,523,666,136,
430,012,265,858,160,486,200,031,733,640,455,947,071,118,077,943,532,799,839,
546,070,784,759,474,222,772,488,503,919,164,081,708,523,725,663,165,337,737,
455,791,763,694,132,891,754,047,365,423,845,912,470,996,912,369,825,191,219,
524,365,031,971,295,112,684,666,796,436,924,421,791,607,804,375,021,870,534,
324,934,454,161,064,942,800,045,044,943,372,080,296,960,160,202,100,454,463,
247,688,094,687,016,018,614,227,571,200,946,677,101,353,910,482,585,167,434,
614,159,908,865,308,292,480,395,541,939,252,224,259,893,971,858,395,905,099,
333,440,649,206,061,029,290,502,986,027,321,244,078,095,327,717,623,694,271,
512,005,602,084,448,657,378,171,173,569,033,087,897,999,939,351,133,387,731,
780,316,836,359,807,575,339,504,723,588,333,594,495,607,724,193,691,767,326,
922,503,080,633,669,192,873,467,187,838,968,299,019,352,595,586,495,816,121,
567,304,856,202,621,406,578,339,812,010,307,505,016,006,658,475,451,376,467,
878,921,270,589,911,087,511,778,157,084,778,105,709,438,611,006,725,863,916,
237,618,046,711,793,412,165,360,402,222,339,257,251,076,506,555,456,713,657,
335,081,657,963,091,401,782,887,233,737,417,622,693,873,541,194,891,553,622,
355,539,010,582,613,323,088,020,840,035,609,299,437,520,258,141,943,960,290,
508,705,025,906,684,649,874,305,996,621,163,837,884,121,887,829,099,354,050,
472,667,599,427,785,850,944,391,901,238,116,308,154,213,132,159,649,845,307,
781,363,408,531,658,058,631,426,223,458,436,752,251,875,781,356,378,966,186,
183,721,262,561,823,165,143,192,803,777,881,184,103,966,882,739,763,378,042,
173,591,481,989,088,991,023,273,924,711,418,278,469,906,892,015,891,766,379,
110,685,921,940,853,685,057,822,104,319,850,953,416,789,811,751,623,695,845,
010,174,597,995,800,340,697,322,486,267,757,757,641,318,844,107,229,565,943,
212,416,186,200,958,382,112,743,407,450,788,261,339,259,041,737,933,133,377,
264,788,454,774,037,627,008,263,555,748,266,187,902,469,672,531,647,148,533,
402,417,772,182,420,285,973,887,627,848,508,485,584,167,490,015,333,527,439,
406,339,403,646,247,439,084,094,532,728,305,220,992,401,085,622,930,294,317,
362,648,327,161,113,833,174,686,951,980,792,631,558,594,305,524,668,713,587,
860,023,651,159,611,566,256,311,395,631,343,252,137,482,868,185,767,003,985,
582,085,951,794,578,773,898,139,236,211,543,591,789,416,968,467,865,613,757,
739,551,986,873,614,926,084,107,044,784,015,952,116,432,328,580,320,203,622,
371,199,652,804,814,039,985,123,747,202,947,313,862,659,961,374,211,603,856,
769,315,035,543,070,152,939,589,080,393,269,178,924,730,021,827,289,275,631,
669,516,108,415,746,224,578,980,943,993,510,328,371,893,242,570,352,488,289,
232,711,757,739,944,063,035,914,725,215,498,190,020,118,263,260,909,300,416,
903,710,007,827,710,386,609,296,082,295,107,389,661,060,707,307,397,598,371,
787,114,413,394,764,590,650,377,006,423,979,564,273,783,627,416,031,560,301,
567,280,415,219,398,382,339,508,091,216,686,793,473,224,982,971,767,679,293,
702,917,563,732,188,175,013,395,650,910,536,311,368,352,250,685,074,820,716,
173,999,233,165,893,310,068,208,839,254,390,210,681,383,835,378,507,723,143,
416,573,141,889,374,293,464,691,054,872,165,627,208,740,565,963,884,083,855,
268,884,253,817,137,662,086,304,508,291,272,799,533,573,089,407,572,127,324,
672,589,190,161,646,062,736,709,026,962,029,544,415,434,858,193,607,306,924,
102,843,761,965,313,852,197,277,610,480,511,973,168,163,546,379,652,841,367,
849,263,452,953,898,850,965,284,209,079,144,600,313,140,798,221,378,518,359,
572,489,563,916,478,056,898,530,426,797,886,385,306,674,342,446,492,522,936,
911,150,692,950,131,234,688,461,046,441,623,788,752,575,709,366,024,432,798,
115,313,841,852,454,865,316,089,934,797,161,931,014,666,422,448,749,166,926,
953,780,204,567,892,593,779,807,782,151,314,392,190,362,386,085,570,283,451,
252,395,813,143,429,791,745,970,119,938,847,249,138,637,407,356,110,657,960,
545,849,418,664,464,577,868,601,423,930,950,962,602,422,383,254,393,301,834,
003,908,021,906,148,531,012,891,322,309,073,984,434,195,696,583,345,441,186,
483,141,544,333,539,401,934,801,529,950,866,546,866,656,344,414,776,613,409,
020,935,710,800,366,006,758,888,111,820,887,330,361,888,389,989,465,337,285,
311,271,456,703,620,801,328,313,979,168,713,110,741,406,655,879,263,098,944,
133,887,786,942,870,723,280,235,529,609,650,634,225,034,218,932,430,676,406,
920,517,585,349,289,074,763,100,541,713,769,254,294,969,221,264,547,729,922,
575,482,390,863,282,062,006,006,605,423,772,183,118,536,177,879,885,309,846,
447,392,610,724,684,586,671,951,300,331,352,218,204,702,272,568,044,850,490,
931,070,435,749,261,717,433,923,067,968,281,895,235,031,857,469,235,079,461,
167,630,400,358,943,110,246,485,140,579,360,831,049,656,380,416,216,071,926,
967,274,848,049,147,161,814,818,125,525,359,472,100,182,979,032,512,279,636,
725,529,100,163,444,011,192,774,700,133,794,216,584,487,090,586,847,333,682,
157,577,910,040,589,618,689,408,152,354,193,291,633,274,483,709,134,571,007,
422,105,330,223,437,657,451,056,622,899,792,138,607,626,012,213,066,063,481,
356,001,062,857,793,234,242,194,020,099,793,566,669,730,432,823,028,177,016,
250,944,566,383,604,697,144,332,266,119,765,663,687,757,487,545,133,116,440,
937,441,636,790,997,696,394,260,954,918,560,444,565,758,683,568,344,368,405,
064,165,983,141,246,596,316,674,792,559,488,689,280,160,763,965,318,627,732,
389,126,154,216,121,069,788,793,853,937,137,909,309,226,103,747,805,907,862,
814,034,656,716,065,018,250,870,486,361,367,707,456,746,193,526,590,503,700,
442,608,332,983,652,524,780,344,375,459,473,963,463,866,957,754,460,238,686,
942,374,304,087,620,598,638,022,708,315,363,733,104,494,003,565,698,574,973,
494,930,553,913,899,305,882,974,282,192,154,350,723,523,165,674,827,256,292,
206,690,901,373,659,929,904,774,893,181,636,855,590,660,738,994,566,749,444,
119,984,569,657,850,064,348,429,394,320,245,522,758,339,930,731,860,841,252,
678,800,843,719,783,430,650,896,225,704,165,036,722,114,253,539,864,217,360,
876,976,524,569,084,476,597,931,591,078,234,401,943,321,875,869,869,420,741,
853,332,643,500,035,715,943,569,882,881,390,026,776,303,552,080,249,852,283,
671,227,726,166,505,488,605,159,557,845,545,911,076,498,850,558,709,480,615,
279,732,368,185,894,579,257,369,051,549,747,768,413,797,924,178,693,898,829,
482,722,199,064,542,473,591,744,678,334,062,744,661,448,293,275,590,411,357,
959,035,275,934,946,013,043,396,554,344,162,741,064,692,586,719,444,616,514,
604,470,222,870,071,739,099,079,709,859,918,958,518,129,933,245,166,954,518,
133,653,777,479,025,727,152,829,966,781,403,812,424,185,233,734,947,544,460,
733,696,149,965,798,962,370,116,631,504,562,560,860,677,395,318,255,276,354,
883,630,329,354,088,122,522,382,971,883,563,992,973,168,627,791,307,936,924,
426,189,167,463,500,005,015,438,246,015,140,354,200,228,695,050,958,368,762,
508,080,269,210,176,708,719,380,208,456,255,630,537,445,491,877,997,916,490,
553,000,997,732,089,596,248,622,771,196,963,293,163,501,704,636,221,645,286,
838,561,418,042,421,442,668,656,346,816,956,091,363,294,578,263,205,666,345,
004,876,014,828,031,912,869,541,978,186,895,590,324,493,247,376,764,522,657,
350,422,988,103,346,575,382,494,063,362,576,519,494,473,924,213,859,887,594,
588,166,570,250,757,859,865,065,613,375,158,879,285,257,621,113,951,815,355,
750,340,688,882,220,745,985,539,952,166,343,794,875,952,820,622,509,220,001,
991,236,501,491,221,202,391,584,868,516,098,633,391,072,979,022,080,959,860,
401,975,942,279,355,318,471,452,712,179,620,570,722,685,655,641,630,731,727,
795,159,500,105,247,683,518,847,578,192,519,736,469,673,977,407,194,515,243,
152,611,702,720,444,862,744,856,213,046,181,884,876,202,081,058,073,923,003,
938,102,569,494,021,424,756,764,435,329,681,761,511,249,767,134,922,774,629,
524,754,880,209,323,073,092,017,379,569,946,611,170,032,522,083,216,992,734,
242,317,922,185,683,021,565,359,640,215,550,254,433,597,207,466,691,121,845,
683,683,687,218,023,556,167,108,792,421,047,431,437,464,642,608,512,897,811,
469,341,954,970,416,013,011,268,711,080,272,131,826,364,683,277,688,725,138,
865,125,331,202,646,754,269,380,989,866,749,889,160,917,656,159,631,167,409,
861,883,887,145,127,819,233,342,926,831,781,429,685,171,533,696,074,518,335,
890,861,640,852,475,932,035,874,386,909,009,070,485,496,395,958,575,904,902,
315,375,903,708,373,268,661,533,633,578,102,130,364,017,406,833,989,440,152,
901,181,570,314,755,627,273,009,962,385,376,402,102,742,758,175,382,510,823,
337,852,089,555,296,233,830,832,996,961,253,292,828,876,378,826,796,189,663,
904,810,797,630,396,418,015,558,978,092,416,982,671,034,369,689,087,866,922,
009,343,963,807,617,283,221,413,882,559,211,982,929,990,730,780,004,481,832,
932,373,122,724,898,511,669,560,857,049,217,236,898,900,426,606,554,765,677,
761,689,929,934,034,368,592,101,209,567,735,979,517,667,619,504,460,035,781,
217,509,565,244,422,805,510,364,045,272,296,434,205,223,700,920,892,877,178,
733,228,968,782,069,813,994,010,322,348,370,957,988,591,821,125,767,243,890,
566,108,088,670,893,449,733,832,381,871,093,335,033,241,567,128,683,894,769,
364,865,568,662,823,989,345,200,654,711,787,534,303,517,174,376,888,684,825,
953,197,364,065,307,131,127,987,764,473,385,923,165,934,510,650,476,771,229,
667,755,274,846,865,365,386,143,633,215,057,347,331,154,478,265,185,308,399,
287,954,264,552,012,312,757,798,864,295,995,594,262,592,939,180,608,769,190,
403,912,555,642,495,678,312,194,575,840,839,821,937,418,291,501,333,562,454,
700,681,814,937,202,128,120,587,696,430,125,819,652,253,807,312,657,473,235,
283,009,119,470,224,802,118,596,019,998,153,674,153,875,650,655,163,193,098,
048,600,953,313,830,681,216,523,414,741,046,048,207,852,517,530,820,557,414,
460,754,884,278,080,297,522,093,751,896,842,220,953,222,993,989,157,001,909,
243,472,942,994,151,318,954,289,669,015,563,843,655,488,737,192,531,883,844,
016,322,909,084,162,032,309,617,682,869,060,583,400,454,303,067,564,751,434,
107,905,217,232,524,611,468,212,204,864,021,030,872,340,693,997,340,714,445,
554,003,082,751,946,695,315,434,123,425,145,115,049,937,666,966,779,133,067,
962,016,714,277,985,079,786,786,406,906,027,193,019,025,181,724,881,409,091,
216,004,484,919,379,718,070,549,442,035,238,477,388,291,519,234,443,533,983,
423,098,564,067,323,225,471,503,071,671,625,812,346,394,156,965,482,247,770,
568,398,816,984,241,600,057,652,246,827,035,604,428,229,433,098,834,924,176,
187,579,778,732,081,389,718,636,068,814,423,094,481,145,026,698,367,749,991,
844,646,447,412,580,579,243,326,892,421,026,308,725,650,236,127,060,102,591,
569,502,147,915,355,300,755,222,777,498,222,448,003,992,415,443,181,327,300,
217,185,441,980,134,525,850,528,884,190,665,283,113,576,241,381,424,131,513,
856,490,988,151,289,978,634,599,682,663,779,818,161,351,496,546,912,364,196,
659,721,953,658,549,627,382,118,009,886,194,856,252,398,701,995,028,091,482,
120,438,400,347,636,980,695,022,738,981,326,122,463,092,116,205,434,435,225,
165,350,384,996,757,218,130,557,565,441,375,434,045,950,712,215,191,078,987,
073,092,451,243,167,176,462,627,179,103,493,825,278,534,116,012,558,315,386,
290,348,489,511,345,685,867,920,103,775,743,940,024,962,032,454,659,540,574,
105,312,800,873,354,522,013,695,002,314,615,987,089,024,248,801,169,567,801,
872,473,995,985,782,549,050,217,777,503,895,166,403,812,701,696,015,502,999,
899,162,582,749,169,384,460,908,632,511,345,064,044,009,117,994,196,141,782,
125,395,627,058,358,328,335,778,215,043,095,605,350,213,426,205,269,321,950,
708,715,206,666,052,576,895,747,379,329,555,309,102,664,664,984,118,272,991,
801,039,323,261,266,866,165,592,051,016,115,728,958,199,492,497,652,016,223,
632,571,813,273,835,849,064,811,505,598,451,679,379,351,861,837,323,058,090,
472,921,035,960,594,869,195,818,516,953,411,723,743,700,671,883,837,479,470,
394,511,086,512,255,058,120,789,099,286,571,846,767,077,686,444,624,989,180,
539,441,079,778,203,282,873,888,174,868,828,691,809,092,297,299,689,590,696,
537,696,217,911,211,584,828,784,690,117,647,300,870,265,208,899,525,227,620,
039,376,993,056,466,146,615,701,313,449,578,377,760,612,223,716,475,897,901,
808,401,168,992,639,538,482,430,071,710,438,597,707,493,930,090,787,804,992,
768,478,748,199,047,669,986,068,071,389,720,674,271,197,148,190,742,046,312,
961,207,306,358,513,517,096,684,309,137,791,521,834,069,401,642,229,875,123,
510,586,084,590,921,868,356,160,550,921,817,919,386,229,738,179,402,016,703,
400,123,273,014,956,062,544,520,151,558,425,347,105,005,573,965,516,268,977,
192,830,269,747,602,011,296,841,170,767,590,469,089,126,027,531,776,210,445,
005,909,848,741,128,442,737,385,797,062,055,215,487,547,585,239,465,969,917,
719,099,562,485,321,059,235,991,414,690,147,124,657,370,886,706,917,093,405,
988,365,274,259,287,764,151,335,617,873,515,194,435,675,864,464,743,313,479,
871,620,826,600,230,560,653,845,613,020,458,191,424,819,055,525,924,185,117,
289,309,668,039,743,606,302,964,756,120,921,589,742,313,570,743,407,451,630,
528,221,904,432,278,640,949,078,591,695,213,394,573,059,537,773,755,075,254,
928,623,110,229,799,907,121,088,672,808,288,498,464,961,935,870,713,318,759,
245,286,270,111,796,976,315,621,042,049,404,425,669,549,165,715,880,139,753,
743,294,979,388,611,169,405,699,025,970,889,025,542,827,174,292,217,186,785,
102,930,141,970,270,170,666,357,467,992,025,511,930,514,132,154,790,330,278,
887,322,409,291,566,835,499,506,279,629,534,865,270,565,190,846,109,403,160,
204,889,952,269,920,414,377,469,019,242,217,273,601,086,312,806,889,409,072,
545,095,678,153,458,597,673,374,109,062,645,870,805,457,264,611,171,128,334,
732,521,959,891,012,831,515,506,244,356,533,968,044,219,277,865,788,941,180,
846,387,367,574,055,589,682,801,374,673,149,273,756,044,774,273,775,209,109,
828,984,397,573,558,469,193,410,073,570,698,779,426,632,258,342,697,533,652,
033,016,086,008,634,802,916,282,278,455,342,416,304,059,991,856,555,220,952,
053,359,638,388,974,086,693,558,477,480,102,958,964,445,574,338,172,531,089,
368,248,895,154,251,086,913,152,733,888,766,467,753,630,311,351,088,677,217,
606,056,365,761,203,913,371,025,416,930,815,664,862,551,666,340,759,872,600,
090,186,967,727,835,495,142,638,568,569,746,064,100,822,768,200,054,267,734,
990,403,640,025,232,253,615,109,591,883,640,520,655,188,671,691,302,113,592,
219,626,054,084,770,446,876,033,149,270,198,193,262,771,020,429,378,264,528,
217,633,753,844,240,076,979,284,197,496,847,360,426,540,301,309,286,231,604,
946,881,183,663,527,337,040,704,978,248,490,595,015,479,885,317,568,424,838,
332,240,655,550,004,886,129,829,115,942,667,668,716,911,944,653,702,843,865,
383,796,376,551,161,860,928,032,997,040,570,839,084,554,975,247,454,907,411,
517,567,901,302,435,969,562,855,072,433,295,803,894,515,878,405,281,994,779,
352,966,192,915,031,220,284,004,065,873,595,133,908,868,734,605,142,303,886,
198,809,053,225,138,147,468,380,379,413,654,632,594,125,217,007,573,910,296,
499,191,916,779,772,050,669,490,936,231,281,657,639,385,864,588,478,258,134,
943,777,849,377,887,022,970,363,245,258,460,882,192,046,795,300,411,809,929,
188,715,515,268,226,416,941,732,615,595,502,723,006,686,772,499,969,183,447,
553,056,338,463,382,462,604,003,584,750,775,589,669,941,425,850,320,585,956,
682,535,988,256,314,470,673,482,441,859,402,807,000,717,295,793,145,001,484,
555,718,219,421,488,272,154,468,077,627,366,032,963,819,826,158,695,760,583,
031,749,304,463,794,686,039,963,383,583,440,582,180,564,252,406,864,073,470,
911,227,328,638,303,918,316,199,766,609,204,023,745,125,915,139,976,505,241,
346,194,077,711,850,692,410,468,531,250,436,658,736,572,090,154,687,621,211,
810,292,602,098,344,042,208,361,048,890,385,659,704,694,972,349,772,686,747,
259,908,240,615,328,309,064,319,976,388,852,287,491,532,780,587,383,886,198,
105,613,206,193,669,206,507,559,615,194,245,329,653,584,061,835,208,436,081,
566,860,625,329,455,306,679,537,353,539,561,352,557,427,120,779,884,761,465,
445,825,229,761,426,424,873,455,772,692,415,148,218,624,236,290,241,939,472,
108,671,310,949,366,028,597,093,330,342,150,098,968,720,908,695,387,711,848,
065,026,635,587,451,014,049,035,611,573,280,130,178,463,610,660,108,884,201,
968,238,038,804,140,419,683,418,205,323,507,748,491,579,007,491,413,078,425,
778,647,946,235,962,589,798,913,339,049,024,114,628,843,999,729,440,459,110,
079,093,000,079,963,142,849,072,423,508,523,886,266,836,789,263,908,449,582,
771,096,711,672,605,001,646,580,352,713,252,487,490,301,505,201,810,025,395,
375,087,380,921,315,880,411,298,152,196,702,696,513,356,665,206,751,615,109,
349,722,723,561,410,774,556,729,444,850,568,898,547,067,638,202,375,948,006,
150,734,891,893,949,542,649,280,590,646,168,259,735,742,555,118,678,539,552,
943,450,817,345,354,350,944,627,335,993,578,641,455,603,017,664,533,879,319,
314,799,876,584,915,070,846,108,045,690,875,318,061,887,592,919,136,661,518,
541,345,954,419,935,917,199,063,625,907,148,231,423,198,092,297,163,817,220,
575,390,740,841,757,202,445,386,135,484,408,715,105,830,382,137,591,118,465,
059,820,493,829,665,204,682,200,352,314,386,465,713,654,792,114,962,531,546,
837,557,283,190,949,068,373,314,853,502,251,681,328,667,385,328,528,240,463,
788,783,844,757,545,163,109,159,041,876,135,462,080,342,825,081,555,316,736,
094,580,079,940,365,373,412,511,806,279,194,125,236,631,999,781,001,554,229,
121,489,819,003,448,408,787,169,072,554,407,563,318,885,165,213,943,754,017,
464,572,164,728,783,732,186,374,404,811,535,974,320,508,553,868,689,857,532,
672,614,767,794,291,318,094,410,798,121,336,523,384,156,602,345,558,729,434,
286,413,557,266,285,154,738,539,819,783,290,572,190,015,175,785,623,335,952,
890,996,703,562,749,286,303,626,485,109,176,533,804,154,812,793,383,801,608,
863,151,984,624,940,053,114,141,293,476,325,492,252,217,947,529,888,660,226,
363,763,085,532,083,549,074,253,282,006,087,175,620,724,244,453,320,448,459,
609,731,867,304,501,681,389,519,576,380,222,718,418,501,254,113,998,562,223,
886,255,791,409,268,787,209,574,127,632,248,273,864,271,910,835,063,717,765,
332,441,192,486,099,295,509,897,567,967,729,944,520,541,717,735,662,359,565,
682,703,249,326,909,550,536,541,997,661,423,981,827,215,215,473,633,323,854,
821,983,798,922,958,719,539,601,447,461,185,899,501,308,913,995,482,094,837,
726,526,722,793,968,067,156,349,769,956,916,434,773,710,671,572,334,785,482,
132,594,535,069,376,120,338,592,513,933,904,139,592,715,842,588,199,494,459,
234,199,558,505,912,609,379,411,182,936,145,578,648,818,138,094,349,140,824,
305,483,537,042,060,294,263,632,992,938,699,263,341,317,082,390,835,726,518,
896,398,230,010,803,334,774,010,537,977,336,719,006,821,694,664,039,856,855,
178,287,165,109,655,877,415,106,248,932,640,417,535,651,073,752,830,546,322,
395,714,103,987,403,574,413,993,356,009,045,831,044,251,898,861,520,608,155,
992,105,847,971,414,035,966,500,970,443,763,404,424,593,971,591,586,021,790,
770,986,184,560,389,905,061,922,878,481,545,282,622,125,863,850,450,743,498,
387,029,630,711,415,272,966,873,092,563,893,803,850,208,773,999,920,493,930,
666,544,740,355,955,742,334,495,713,664,222,579,102,922,557,509,672,257,213,
824,881,701,874,222,238,879,421,053,163,535,405,204,328,765,357,381,155,070,
065,983,496,171,233,936,266,034,589,427,717,269,857,311,551,812,693,475,983,
713,120,043,727,682,252,101,633,604,824,703,732,896,326,038,624,982,151,390,
421,380,691,447,562,053,957,819,573,927,975,899,587,275,942,349,717,641,836,
874,781,166,901,498,501,372,642,152,526,905,093,071,324,721,902,945,664,251,
043,785,118,424,833,616,112,434,727,047,482,942,794,900,802,837,555,575,342,
054,647,551,407,097,334,877,162,281,876,786,120,819,825,525,097,067,670,415,
910,001,015,818,993,796,826,515,765,000,362,079,072,373,086,958,801,364,820,
624,309,145,199,812,625,242,151,127,030,200,211,961,444,048,887,573,361,754,
213,431,566,872,152,252,021,505,711,173,461,665,381,104,031,812,348,348,076,
443,194,097,994,215,891,705,372,867,903,770,167,072,950,390,647,628,739,804,
311,767,620,321,573,365,336,038,226,743,856,904,748,952,392,648,377,612,750,
180,048,418,471,180,907,734,881,213,923,414,396,467,609,861,350,433,638,796,
585,303,566,942,692,015,044,809,159,279,390,484,333,686,038,931,716,553,968,
802,686,542,302,904,682,714,439,075,300,666,130,882,274,785,314,343,380,432,
167,100,044,094,506,728,441,012,285,016,486,320,385,190,941,422,358,942,878,
577,796,426,046,340,677,680,342,974,574,214,829,537,640,580,070,541,463,529,
270,804,917,235,674,874,283,912,672,636,499,986,340,694,904,599,346,203,938,
565,250,513,782,335,027,149,094,210,277,507,515,701,646,190,058,961,682,125,
129,801,359,608,077,566,788,741,588,574,530,822,973,813,969,907,958,837,380,
880,650,779,395,962,600,204,969,668,315,481,497,932,940,614,149,936,208,804,
197,480,390,334,047,545,008,581,021,377,375,959,483,661,852,422,423,180,782,
259,233,697,719,131,471,098,679,090,788,048,080,334,853,574,412,610,356,522,
053,364,859,488,661,266,449,324,077,770,562,780,061,973,252,769,122,135,137,
624,397,055,143,940,845,834,366,087,313,163,200,952,738,808,395,389,514,601,
356,305,602,859,719,408,242,306,258,712,771,030,127,133,700,546,025,631,510,
666,832,427,226,250,156,357,158,142,061,649,231,503,526,896,380,041,507,290,
494,473,450,986,294,955,011,638,899,370,682,749,851,883,152,796,832,821,056,
258,462,944,153,510,311,880,157,296,636,353,253,213,788,512,174,660,859,775,
519,189,839,820,441,434,446,849,939,926,767,648,718,701,806,650,365,169,565,
597,988,885,667,528,098,429,918,093,037,019,111,674,579,644,908,080,480,806,
881,714,956,799,950,727,594,722,634,434,258,445,062,828,995,460,532,641,112,
913,049,478,227,796,011,075,719,793,356,655,307,354,848,217,719,665,745,633,
171,971,804,224,945,344,524,349,359,055,666,005,712,574,023,272,990,953,721,
297,675,232,649,657,201,383,834,995,888,170,028,019,216,206,678,000,082,758,
820,634,339,508,722,410,862,825,387,117,800,694,234,750,637,266,982,318,991,
964,316,597,027,502,838,461,047,377,417,641,293,774,777,521,372,175,733,545,
946,792,821,335,897,158,850,689,901,860,747,603,743,593,642,731,874,428,590,
827,163,246,298,615,928,288,942,619,813,483,275,781,664,082,152,267,367,487,
467,812,536,721,242,277,082,708,499,385,159,216,925,826,796,776,203,334,914,
798,129,141,825,774,690,818,829,764,385,443,948,160,380,180,279,531,546,529,
083,416,893,549,966,748,773,253,024,903,339,395,358,524,568,842,638,953,971,
173,651,366,469,729,210,139,546,445,399,387,484,505,891,124,394,775,496,960,
405,297,713,689,538,157,824,476,831,172,451,860,368,386,421,142,837,554,230,
245,937,790,040,565,135,024,564,275,786,583,309,601,135,223,509,492,511,546,
845,423,957,467,165,221,426,258,747,289,358,811,578,604,789,084,199,700,698,
655,760,978,831,336,878,838,789,391,007,525,956,808,916,695,482,259,109,486,
370,026,605,560,815,441,189,972,806,726,896,417,657,929,010,612,272,971,840,
425,959,946,992,193,428,033,440,706,646,800,360,711,706,294,358,977,331,534,
625,324,268,876,992,611,112,720,269,681,619,567,745,429,844,567,256,477,835,
538,041,282,261,933,003,360,928,259,267,660,174,597,832,464,920,431,625,694,
222,826,619,285,232,048,620,611,276,408,673,823,084,425,599,792,920,710,961,
515,053,786,848,324,127,581,951,609,579,068,589,210,095,395,297,823,315,162,
884,981,692,599,215,690,499,403,518,204,543,221,852,038,013,931,259,756,111,
653,721,508,478,315,423,163,629,372,035,228,932,690,478,713,044,362,462,023,
928,008,540,406,996,373,007,405,512,197,410,764,864,297,935,419,960,697,242,
149,168,595,167,393,146,370,937,177,631,366,295,691,203,649,573,119,761,212,
390,945,002,940,441,339,902,002,541,354,524,737,397,281,949,415,236,699,376,
811,464,251,748,557,213,432,285,173,871,333,096,128,343,800,929,553,010,793,
030,293,371,279,958,677,659,749,132,084,627,664,880,190,253,930,714,689,192,
163,452,034,633,425,882,252,260,517,222,472,591,033,340,185,175,825,840,102,
638,497,691,450,865,832,828,853,593,223,435,110,784,035,536,466,197,529,614,
046,838,128,371,086,137,574,542,050,398,182,134,986,981,026,070,129,310,570,
384,867,833,221,287,415,707,621,927,538,549,745,839,489,196,846,152,652,485,
834,974,280,266,333,129,638,506,750,413,017,270,482,712,699,597,821,574,928,
623,021,103,830,759,928,053,059,329,584,167,726,611,018,293,795,983,148,296,
821,225,081,232,246,950,656,423,024,712,775,419,261,446,520,177,157,220,263,
946,652,154,744,587,367,666,292,802,120,103,589,393,738,521,119,090,954,511,
064,131,544,028,948,306,748,524,548,500,557,427,408,865,573,563,871,233,111,
073,239,439,598,592,791,100,307,507,123,922,415,877,246,236,732,728,736,594,
471,523,797,960,631,198,556,352,500,045,441,112,507,992,193,094,296,563,560,
660,021,740,375,470,164,064,045,418,608,792,090,746,311,511,749,656,150,341,
641,810,557,933,051,211,623,702,428,484,598,163,278,163,856,023,938,302,455,
539,621,965,346,461,908,872,227,203,096,557,338,793,726,399,777,213,904,929,
207,716,387,934,228,045,711,675,546,216,333,751,599,893,162,693,459,462,048,
934,317,177,493,631,192,204,699,168,756,162,547,709,512,567,543,503,850,414,
135,421,830,588,881,238,946,050,020,203,999,906,787,139,220,041,890,918,527,
743,398,634,493,197,582,326,654,240,394,610,678,471,840,003,472,570,483,898,
417,068,464,904,697,910,115,464,026,286,128,301,042,656,866,118,300,586,712,
164,626,083,712,866,021,573,150,380,458,709,614,127,492,792,083,474,063,094,
734,960,704,264,902,837,853,718,017,984,871,171,330,999,547,598,389,624,687,
454,456,940,841,167,851,714,068,856,115,112,415,523,937,825,383,666,850,076,
098,104,490,576,134,023,945,204,522,838,299,717,725,357,954,216,970,801,946,
573,943,211,532,631,623,521,457,958,786,650,724,255,020,341,506,457,917,942,
429,729,005,450,357,405,551,726,199,702,032,161,702,228,492,433,951,993,319,
228,469,011,437,128,813,664,642,472,793,077,377,396,100,872,147,793,706,992,
990,166,928,336,337,166,136,044,248,207,169,471,721,939,186,900,489,069,763,
019,034,542,607,982,636,001,220,348,082,267,410,345,236,967,470,794,497,528,
459,365,077,027,943,654,210,509,958,404,937,915,318,124,097,450,705,922,848,
976,618,372,187,657,562,934,846,861,833,905,423,611,121,218,685,246,367,506,
264,758,668,777,194,616,355,617,525,499,912,215,521,014,694,328,146,970,071,
902,305,743,936,885,957,169,135,388,364,721,513,526,902,594,312,424,274,832,
768,115,931,350,404,380,107,762,256,093,438,423,078,138,475,317,135,995,623,
315,282,691,926,180,599,476,914,193,312,257,082,873,488,104,996,954,836,995,
486,556,385,674,828,398,824,936,504,808,467,134,524,059,065,912,182,323,592,
572,725,524,956,872,790,585,409,942,135,610,101,916,052,582,658,816,379,156,
296,597,910,709,150,246,846,093,655,923,984,071,511,364,810,803,473,311,631,
923,371,439,619,803,872,768,308,124,165,619,098,438,875,382,354,659,876,288,
259,322,226,934,412,321,424,771,576,315,462,279,600,499,430,430,169,963,743,
750,694,211,176,828,185,616,231,037,462,054,497,689,702,738,302,809,084,350,
040,545,444,728,625,408,733,555,036,461,030,046,844,792,869,148,196,881,892,
838,187,975,731,653,690,207,520,396,872,313,306,836,435,469,986,501,566,584,
160,298,538,648,694,361,619,840,529,779,665,169,121,001,335,139,252,807,255,
636,185,388,584,576,803,259,264,774,939,503,006,832,457,914,074,666,754,032,
972,399,722,407,367,286,685,374,682,698,777,546,854,890,787,553,849,312,759,
252,957,773,363,154,127,366,487,036,044,237,518,558,437,617,623,623,624,908,
187,369,234,615,055,831,633,647,729,472,123,570,037,994,249,508,434,857,905,
465,287,856,241,567,531,203,571,266,095,376,679,001,568,504,359,366,449,993,
067,045,167,092,835,747,372,402,575,885,665,086,390,128,561,545,247,531,846,
761,780,000,860,521,888,003,840,753,760,326,595,606,862,524,338,051,931,364,
078,646,420,640,221,880,149,106,708,061,207,205,091,510,384,223,123,503,568,
773,052,912,729,904,048,541,571,977,555,609,132,567,784,043,388,616,426,220,
647,816,173,178,159,519,144,146,989,487,727,278,815,846,862,751,835,822,545,
465,137,764,606,315,703,218,283,196,108,520,512,595,496,743,522,829,751,145,
028,378,365,287,595,564,004,125,014,441,055,922,469,076,538,852,443,258,322,
273,799,142,258,047,401,602,243,807,485,849,229,506,324,903,829,662,220,838,
272,196,702,118,621,322,240,355,670,621,458,490,246,138,168,507,133,522,205,
565,418,439,057,417,686,813,744,737,033,381,127,012,370,303,421,998,421,360,
522,704,078,681,792,944,145,529,097,881,747,167,291,595,953,677,711,656,365,
787,747,959,710,313,697,976,865,194,209,465,226,665,279,041,580,879,491,942,
958,696,239,129,537,386,838,344,435,398,444,047,971,108,494,838,197,902,117,
738,431,682,543,350,843,682,769,518,048,151,423,424,365,888,805,170,350,593,
424,865,671,587,378,767,919,299,704,964,198,724,567,842,571,452,607,935,797,
561,279,094,838,496,251,028,909,185,290,899,789,021,707,716,157,771,727,667,
822,256,601,923,223,712,832,652,657,517,825,625,756,597,609,275,679,315,039,
310,822,017,799,387,451,300,296,531,160,759,401,123,045,986,029,938,279,813,
800,864,570,837,116,399,938,128,635,938,749,820,440,431,596,083,305,015,787,
891,059,223,243,948,145,305,839,868,671,886,078,144,011,573,456,918,021,344,
711,840,288,016,854,864,314,953,595,677,963,941,173,057,911,201,479,509,604,
665,731,755,132,115,442,632,545,442,200,373,314,476,353,288,323,782,614,670,
722,035,551,791,077,626,425,859,491,376,687,473,903,439,840,536,195,425,436,
150,561,140,119,475,713,992,217,137,599,259,440,552,949,360,336,100,154,274,
137,298,561,274,265,913,415,714,871,262,970,591,122,054,599,816,502,320,554,
041,138,178,628,056,573,310,588,898,180,576,115,184,082,676,362,385,617,958,
717,083,691,353,467,097,946,251,426,768,386,302,544,773,826,477,729,671,346,
113,748,436,377,403,453,945,732,975,151,172,389,239,568,219,957,771,303,582,
991,542,237,556,010,001,643,893,195,495,402,128,454,163,158,622,136,684,654,
251,592,951,118,241,940,049,432,819,248,319,336,457,307,429,779,898,385,772,
857,961,204,440,729,013,360,650,142,322,345,895,661,503,464,030,649,116,179,
528,120,571,079,656,295,447,956,296,548,730,579,802,384,393,543,708,751,025,
471,828,104,958,441,901,552,214,926,572,874,193,428,438,935,480,434,767,996,
372,788,180,402,710,482,382,313,055,651,154,273,901,559,937,749,907,725,613,
324,892,717,259,723,944,543,457,475,725,187,801,718,636,913,533,476,548,911,
919,788,240,885,348,172,680,103,407,750,461,861,269,225,886,871,775,858,876,
689,935,145,237,889,169,850,386,696,475,173,224,097,945,369,711,150,964,053,
609,196,658,875,997,477,050,779,250,268,306,368,219,459,735,524,760,155,435,
845,131,043,975,841,267,081,183,656,892,607,021,348,448,540,949,846,050,019,
594,050,166,199,279,918,090,962,206,623,077,709,263,060,486,696,435,916,354,
583,791,149,741,810,844,287,224,543,305,940,454,179,930,808,199,138,822,572,
550,788,893,399,741,692,619,812,196,818,511,622,009,047,318,186,653,686,235,
690,372,164,353,746,449,948,176,082,907,424,372,981,526,119,765,544,550,401,
151,273,196,252,765,009,352,119,028,854,944,686,442,373,179,356,734,228,237,
017,817,393,523,779,814,698,793,883,386,337,680,913,330,113,678,707,586,166,
931,797,161,011,942,911,921,995,155,271,184,494,096,420,015,718,861,993,727,
645,934,024,351,711,204,282,675,181,333,358,494,059,483,804,075,564,951,560,
168,538,790,751,295,062,146,254,375,631,308,347,607,495,826,318,641,548,420,
189,289,470,051,291,557,335,848,292,211,621,563,799,947,012,792,123,323,074,
976,305,680,485,270,025,494,772,066,586,229,711,961,173,485,415,644,978,573,
494,087,246,203,335,237,989,968,743,907,249,281,285,803,956,204,592,449,874,
209,368,081,219,295,640,025,670,272,658,052,425,134,209,137,850,357,560,713,
931,623,001,852,812,087,901,064,193,840,629,534,692,762,941,348,810,452,507,
187,164,025,627,807,286,956,123,857,041,754,355,152,805,424,373,801,525,906,
817,120,006,491,974,837,146,512,705,311,180,822,425,105,442,192,197,693,181,
991,752,085,291,255,331,987,247,067,357,069,961,397,655,934,256,160,947,219,
112,456,122,293,997,967,443,566,254,616,276,032,276,911,931,420,707,438,275,
565,971,624,354,051,737,255,696,079,861,850,785,419,103,106,395,667,172,447,
851,996,075,258,737,526,512,965,555,180,925,422,995,000,310,264,861,886,143,
785,925,600,621,849,370,392,576,919,831,877,206,686,930,158,875,253,925,394,
192,294,585,524,856,858,201,527,435,054,522,381,920,311,818,123,745,208,509,
657,535,510,937,222,331,412,336,439,098,761,465,979,045,395,577,457,979,343,
593,948,761,077,323,393,176,498,820,458,915,506,468,306,253,752,023,699,808,
009,437,578,735,244,898,532,668,607,000,679,220,625,040,904,229,374,303,416,
867,098,643,725,611,279,232,811,803,493,688,491,855,603,080,600,363,333,234,
268,613,122,155,943,031,086,000,940,789,546,145,648,797,150,910,547,791,148,
254,352,171,267,003,937,097,989,960,077,472,778,422,420,792,125,781,372,124,
818,072,094,851,788,949,545,835,014,488,218,268,033,349,703,134,722,536,196,
588,895,097,724,194,176,594,250,404,281,415,654,905,918,606,661,297,145,878,
851,752,693,703,810,451,317,721,404,132,058,873,141,676,309,569,122,155,021,
282,674,854,376,211,228,692,599,818,879,361,173,967,024,628,316,271,316,331,
847,615,629,043,374,070,806,904,115,791,781,683,813,825,018,489,201,676,523,
495,209,062,679,286,304,821,850,872,560,627,807,167,893,404,640,723,217,721,
986,344,339,444,559,212,729,124,528,381,203,912,829,591,131,463,196,873,340,
276,123,306,327,036,942,525,293,757,675,724,494,263,593,011,279,320,220,115,
887,429,270,366,414,568,072,593,640,433,432,004,708,387,744,138,016,312,847,
908,630,032,012,388,662,510,217,815,177,583,340,309,846,190,600,129,196,342,
005,195,997,937,140,809,054,811,679,997,242,734,684,154,214,254,270,068,447,
247,262,430,126,495,435,020,300,570,252,046,156,677,869,832,426,546,887,799,
306,355,374,046,109,820,280,953,121,539,684,217,274,760,191,678,299,537,211,
907,664,511,375,471,549,364,155,107,574,181,836,820,043,047,508,701,651,766,
496,573,803,517,947,993,914,128,513,775,717,238,504,074,659,247,945,671,099,
064,249,328,120,172,206,201,727,441,444,230,397,135,681,129,362,874,772,241,
044,682,147,551,122,616,707,284,463,129,140,468,146,933,855,922,244,121,180,
056,972,029,487,926,705,213,295,528,098,018,314,857,385,305,437,011,036,167,
591,418,420,207,566,185,611,632,735,109,279,649,862,866,767,529,183,723,806,
066,696,579,650,547,578,911,608,926,884,313,259,506,006,884,595,722,284,609,
976,123,106,267,873,430,024,729,119,519,133,253,222,929,040,435,491,613,532,
323,328,391,672,809,254,472,654,452,591,540,551,092,102,766,155,757,108,179,
433,387,595,521,411,394,259,258,539,910,181,910,985,794,485,991,035,662,791,
915,202,966,829,757,040,128,286,563,391,611,880,529,154,660,295,669,442,813,
595,604,679,577,435,468,401,629,737,156,031,503,920,965,089,955,465,825,832,
800,933,635,006,452,227,193,135,325,356,951,039,459,001,526,946,597,212,378,
208,044,430,406,772,691,546,546,168,208,988,217,196,187,498,650,139,168,766,
104,325,737,736,301,966,667,528,816,320,854,249,358,952,450,419,037,286,933,
090,609,939,984,726,190,395,484,549,944,668,503,620,480,762,414,874,437,237,
769,177,323,234,945,877,748,670,691,937,575,073,630,112,488,647,959,546,507,
260,031,930,951,548,062,381,104,346,458,942,659,167,148,461,435,012,923,113,
817,198,776,405,784,867,147,935,901,089,002,330,341,403,463,854,950,857,439,
736,147,609,031,586,079,123,923,711,858,945,969,770,694,338,012,813,537,666,
403,938,555,666,523,893,250,498,719,240,117,483,909,570,043,800,827,974,856,
959,649,865,117,985,135,029,674,527,087,337,580,050,374,851,638,435,768,973,
655,665,593,048,637,735,677,450,858,372,622,815,004,115,347,895,462,627,049,
498,227,508,633,049,140,561,949,898,644,948,144,560,216,599,448,422,382,681,
657,292,924,861,904,571,711,128,677,697,287,121,692,420,251,155,216,342,148,
698,823,049,034,862,440,760,340,232,323,326,276,660,579,518,144,638,188,287,
273,063,875,401,470,079,849,657,650,951,161,393,931,483,281,723,191,690,929,
636,877,345,684,180,456,923,294,476,317,323,476,792,600,227,774,763,951,275,
271,424,375,915,791,205,947,767,342,527,163,215,577,679,267,564,932,514,336,
552,587,859,431,031,431,558,819,456,363,631,009,360,549,537,099,812,602,957,
642,047,546,787,745,793,540,332,168,642,278,839,694,574,044,182,400,931,112,
766,870,881,265,201,042,804,171,216,536,512,294,733,813,455,540,832,940,856,
612,967,861,908,581,262,113,635,954,212,517,353,498,642,054,737,273,425,084,
105,926,258,796,827,397,152,552,290,749,557,406,413,349,289,388,181,338,832,
184,596,504,442,757,243,492,245,006,395,998,885,379,430,439,679,499,483,321,
222,112,265,242,220,506,747,194,717,824,067,033,750,977,907,822,354,675,549,
538,938,920,523,554,565,275,859,874,490,249,475,888,375,766,042,466,187,390,
013,357,989,622,483,199,858,017,979,568,468,945,459,086,404,511,302,677,171,
439,266,778,766,753,084,618,521,387,345,064,518,433,517,521,812,582,799,618,
098,592,304,453,505,492,663,725,241,328,148,060,260,289,562,341,771,567,609,
437,939,231,005,785,583,433,663,919,579,202,789,062,589,012,566,394,269,890,
860,990,167,812,847,621,534,464,548,336,349,554,564,973,720,031,534,317,496,
075,810,168,573,014,203,311,052,975,847,735,796,465,923,180,858,183,750,496,
915,227,258,957,327,006,051,461,665,086,568,609,678,345,687,004,966,816,107,
755,147,564,473,546,472,349,896,225,516,349,218,924,949,734,799,373,188,571,
416,210,949,137,916,847,895,179,946,888,057,264,301,514,847,467,492,348,466,
152,471,371,442,931,210,291,098,448,473,924,498,242,842,854,449,912,386,759,
676,685,878,355,708,693,638,718,409,846,186,820,645,489,405,463,543,343,246,
066,937,160,760,454,905,620,306,867,041,132,906,919,522,512,264,606,519,039,
341,382,889,824,480,572,423,615,347,927,643,676,915,337,188,428,052,261,429,
721,420,298,688,945,648,442,855,268,169,377,774,956,344,884,789,908,199,226,
353,993,816,668,849,633,910,653,949,009,974,413,208,394,670,846,794,804,590,
203,353,676,332,780,009,249,510,799,962,020,035,436,378,999,733,946,846,426,
576,535,551,049,484,760,136,604,787,531,108,388,429,572,406,483,072,195,521,
431,087,196,297,946,898,748,639,994,028,088,426,423,675,690,635,747,969,044,
922,667,527,194,626,136,930,437,968,467,742,003,325,057,610,351,113,358,286,
528,246,839,084,664,948,146,276,611,743,043,681,513,048,143,479,596,424,238,
949,428,725,009,992,723,145,295,635,085,408,122,147,961,156,386,264,008,844,
932,506,908,255,759,736,747,647,427,667,576,080,870,976,562,468,459,489,410,
656,983,076,426,262,983,217,752,154,145,830,960,426,064,754,544,214,225,807,
950,331,265,726,614,121,007,698,742,369,920,499,701,470,934,000,446,281,481,
511,186,778,206,947,776,918,758,507,279,795,348,801,752,452,495,241,303,677,
476,167,886,124,741,890,235,318,811,466,106,461,188,986,517,178,704,324,304,
477,047,444,581,419,904,439,535,061,513,838,032,894,917,024,053,412,440,618,
355,927,946,500,341,383,998,269,262,035,834,575,491,787,684,993,151,040,500,
001,014,714,709,356,927,781,220,948,298,969,231,493,630,919,444,436,354,369,
165,805,777,691,541,012,586,215,269,141,194,318,160,335,153,385,360,856,837,
262,623,068,296,530,639,933,836,490,796,854,850,802,750,879,796,971,604,511,
312,120,789,109,760,806,090,847,186,217,689,771,137,904,622,311,173,875,458,
944,205,926,698,038,323,265,371,515,760,325,695,779,607,838,950,246,993,802,
622,858,108,234,855,241,376,786,969,692,994,530,984,083,920,642,528,168,988,
135,646,102,285,308,071,425,944,085,448,163,302,349,619,607,908,066,875,192,
427,803,668,251,696,999,842,269,634,259,530,856,813,264,501,719,556,786,822,
632,151,771,062,804,908,645,980,397,965,653,446,917,403,617,797,996,861,727,
741,666,860,760,738,816,523,504,695,594,459,979,058,051,298,972,972,283,936,
789,810,792,841,446,695,752,625,104,601,543,572,071,189,222,720,887,596,924,
584,825,466,691,457,199,950,618,166,569,326,310,896,105,908,063,452,693,465,
518,054,139,203,424,961,008,500,557,156,117,752,347,783,055,086,265,465,651,
494,561,287,072,016,516,307,201,896,437,859,781,086,943,422,067,261,934,481,
715,979,405,478,540,199,977,141,402,159,934,802,327,551,239,908,706,636,367,
323,075,001,173,539,809,666,429,892,133,644,749,871,519,505,006,762,330,975,
074,646,958,073,447,129,763,396,908,127,258,920,414,628,425,164,351,613,266,
418,742,920,643,241,167,124,280,347,857,333,774,054,237,872,407,265,780,627,
606,553,747,993,989,013,366,251,274,838,100,490,207,310,525,925,841,644,862,
184,362,577,686,837,550,006,972,753,995,051,769,084,027,381,808,841,828,592,
801,166,853,454,517,058,726,130,452,930,639,638,640,693,838,616,758,543,562,
248,165,702,348,424,214,381,184,723,505,807,541,514,896,281,340,610,051,020,
679,990,366,548,753,024,405,286,387,499,292,678,916,904,621,015,027,176,868,
855,301,031,814,602,907,992,325,290,739,606,532,142,628,686,436,919,780,416,
384,502,571,771,482,289,443,421,890,151,672,992,389,203,012,013,124,660,468,
860,085,179,782,064,930,364,349,297,035,323,047,671,211,608,437,672,234,441,
189,318,423,619,409,272,435,595,093,724,106,479,516,677,648,228,388,322,100,
869,287,718,853,729,492,993,136,789,992,887,035,008,653,053,718,260,272,908,
756,716,508,650,849,143,224,957,157,399,552,018,426,239,744,585,019,672,509,
064,930,532,733,961,905,898,580,169,077,897,060,410,449,623,511,461,742,789,
014,183,876,862,526,828,877,434,115,833,537,549,276,601,445,362,838,862,618,
782,587,404,639,569,238,759,222,582,928,228,152,222,359,651,641,280,906,645,
334,767,908,285,775,673,732,989,640,434,032,697,392,903,757,362,665,852,190,
861,512,305,671,754,726,985,967,950,204,740,857,267,438,011,882,171,274,177,
454,605,765,265,800,699,180,847,852,260,477,193,313,367,789,875,287,732,793,
176,631,947,207,725,185,030,037,921,728,580,353,133,484,833,852,399,590,470,
288,507,667,302,329,287,909,572,125,909,652,913,276,432,865,231,334,738,549,
815,487,513,873,963,483,540,400,358,919,149,833,386,822,525,695,842,105,518,
450,914,590,722,748,482,225,269,927,458,176,087,895,300,579,712,301,812,758,
334,822,046,797,872,293,847,908,667,848,279,305,766,593,497,967,524,667,270,
150,901,419,901,572,848,167,197,703,959,408,168,518,152,437,483,799,329,774,
702,843,714,342,622,279,472,275,284,602,506,890,694,201,595,911,027,025,590,
921,208,744,854,716,576,982,077,995,476,980,660,880,363,422,531,851,351,147,
699,944,977,539,332,001,871,189,260,311,840,615,609,078,515,658,204,973,832,
583,132,308,751,820,839,612,525,584,407,091,627,522,561,514,080,436,734,326,
302,119,001,513,106,512,806,949,712,778,827,553,929,326,831,895,728,332,244,
683,088,680,946,193,583,532,609,444,017,511,684,205,362,102,696,427,074,699,
897,923,849,049,235,987,349,516,076,113,804,777,828,631,218,160,738,400,698,
994,639,489,711,871,076,640,596,324,154,204,785,678,431,340,078,851,521,365,
426,116,615,669,881,293,186,600,412,040,219,690,623,619,229,577,146,755,082,
843,442,499,998,612,557,316,486,685,338,496,188,365,965,141,555,533,347,402,
962,616,258,997,467,779,622,382,644,022,299,913,601,796,320,884,284,645,140,
940,503,901,840,922,348,944,478,333,964,204,830,749,337,718,433,737,915,915,
875,385,115,760,502,128,580,889,707,482,011,936,775,180,787,253,795,338,089,
295,427,945,906,847,413,470,782,925,629,815,746,270,281,092,418,305,527,071,
136,668,154,630,716,428,172,930,888,357,029,909,786,474,283,948,709,575,978,
716,884,753,412,767,984,421,486,859,062,281,169,606,920,773,249,523,134,886,
992,637,782,675,702,514,208,131,724,350,325,051,324,529,363,426,977,777,691,
551,932,574,612,349,545,501,618,526,721,684,260,997,796,736,894,724,977,849,
335,836,566,206,493,176,697,458,473,294,365,547,231,925,452,264,541,797,412,
578,570,808,219,024,992,427,242,765,299,142,557,353,312,011,361,707,275,559,
938,352,388,854,475,688,737,824,817,865,131,484,542,595,049,535,975,300,209,
232,509,597,376,807,886,239,039,853,647,001,423,061,956,297,415,283,745,005,
282,565,059,407,764,780,261,977,913,453,163,134,187,497,033,712,094,005,161,
221,111,105,560,471,598,675,488,403,259,992,248,728,828,328,770,024,262,184,
969,773,549,650,102,617,123,850,088,574,394,126,061,992,239,426,463,979,469,
616,768,468,278,632,436,798,445,414,484,735,749,804,459,028,835,092,314,555,
746,206,818,355,863,072,927,989,637,782,128,364,250,944,496,188,958,540,712,
057,575,795,158,118,606,076,733,417,261,546,778,003,747,556,083,386,953,725,
490,338,039,944,945,756,424,204,309,340,805,083,294,006,340,304,398,314,861,
833,353,359,178,135,389,582,762,149,407,693,235,065,529,068,249,091,306,901,
124,139,842,115,959,333,807,567,229,604,208,201,816,172,435,757,658,117,558,
468,658,682,623,633,886,666,744,959,296,926,901,557,411,244,150,895,417,508,
014,341,048,219,388,082,690,704,533,650,752,053,572,495,782,376,787,932,943,
271,319,845,237,145,114,287,632,476,386,315,973,130,604,026,943,502,721,683,
290,323,345,059,859,452,132,759,786,011,642,172,420,464,757,184,289,106,300,
471,397,219,499,168,404,638,007,074,781,239,143,611,243,073,009,093,794,028,
751,759,227,362,656,559,051,340,564,336,977,264,269,466,417,359,427,699,224,
844,582,272,163,105,343,203,376,793,672,120,862,656,322,721,051,244,276,270,
791,810,024,124,226,968,793,924,379,845,493,730,977,172,162,140,557,601,714,
546,518,419,753,098,713,994,073,667,834,954,859,695,192,575,793,537,867,366,
197,915,809,404,141,564,192,556,129,484,106,569,422,716,775,897,938,794,288,
495,188,720,520,793,087,982,220,710,667,099,394,268,394,265,758,885,971,791,
679,608,520,299,758,499,098,155,488,638,288,973,160,335,352,852,692,692,330,
158,749,750,552,293,359,057,819,224,927,956,855,041,594,480,034,639,453,972,
295,086,664,254,221,344,476,349,062,799,143,102,230,702,953,498,933,245,257,
123,341,817,816,073,045,379,019,722,090,160,221,954,861,904,351,712,945,582,
465,621,397,865,252,782,127,182,019,389,983,292,782,812,689,958,177,314,024,
349,243,392,059,352,128,540,342,625,887,583,248,526,097,036,165,981,646,823,
352,021,669,353,634,284,345,988,925,553,473,197,336,259,332,573,592,565,953,
927,283,871,692,086,933,906,891,639,935,301,777,217,179,933,542,207,374,515,
058,114,052,327,663,203,321,883,230,292,315,463,018,032,597,441,984,807,638,
112,465,088,551,282,786,280,322,807,318,830,888,629,240,985,648,125,196,610,
258,381,001,653,097,793,079,703,442,428,210,554,958,578,084,315,984,096,030,
759,058,815,349,314,769,839,834,685,636,099,985,264,210,551,768,490,158,209,
355,892,886,004,162,997,502,153,275,449,086,341,515,968,640,761,733,085,296,
402,407,717,180,514,681,195,345,188,468,595,449,951,436,612,022,121,522,602,
900,112,330,529,955,308,508,723,471,020,858,939,211,642,108,692,711,537,947,
723,192,883,294,343,246,600,707,207,144,612,980,957,418,985,552,051,455,248,
365,580,338,943,109,642,556,529,301,904,210,514,928,278,422,113,000,529,584,
426,544,425,754,888,674,522,920,730,120,339,670,618,038,253,987,960,494,582,
751,424,792,139,748,267,040,115,153,673,647,893,538,418,991,603,956,024,444,
528,012,663,102,297,848,759,072,322,605,081,327,226,324,104,073,762,453,520,
497,905,047,381,862,418,187,383,665,802,279,080,075,877,377,505,141,516,720,
901,603,885,288,824,492,264,728,812,637,078,203,995,658,471,551,393,451,640,
595,189,385,955,665,245,336,087,022,062,131,410,877,731,234,197,749,021,629,
806,495,983,852,581,615,443,369,030,706,479,880,303,524,614,870,195,529,407,
901,472,222,106,261,828,322,322,156,385,254,716,707,347,822,138,299,389,542,
271,554,310,398,596,445,224,237,433,358,450,184,217,774,434,757,347,364,354,
961,918,813,904,357,441,966,277,995,437,006,356,288,040,415,442,481,918,040,
225,759,887,844,674,857,785,950,446,742,204,916,048,910,337,591,352,753,384,
771,820,667,524,229,081,589,139,541,375,860,712,660,727,625,667,923,316,251,
700,188,292,242,449,408,801,294,689,644,508,336,503,228,879,283,061,804,897,
273,560,118,054,042,694,988,716,981,441,775,890,720,935,455,345,164,074,888,
467,177,826,667,659,283,304,749,300,869,451,109,236,393,267,323,287,128,757,
928,917,575,730,966,270,445,089,799,655,607,931,810,943,627,496,165,944,716,
816,863,908,570,436,579,813,004,008,920,904,571,428,707,658,735,671,805,964,
174,419,437,583,491,834,965,958,356,695,821,429,025,664,479,844,275,388,747,
539,984,492,144,342,388,253,204,539,577,387,555,804,755,101,347,467,958,628,
860,511,350,561,247,418,872,276,117,231,743,422,185,077,620,761,001,302,885,
136,956,013,647,535,553,697,078,279,140,372,470,537,553,244,907,349,133,605,
838,275,672,188,461,614,528,725,224,599,478,712,821,095,998,627,010,244,732,
752,571,657,036,750,852,933,971,507,620,721,603,139,760,716,669,313,103,236,
600,217,277,243,774,314,685,318,594,550,835,508,877,476,787,657,350,903,796,
414,578,717,997,866,023,673,299,921,750,572,733,005,247,370,347,951,156,526,
267,024,490,357,070,047,743,727,794,811,210,302,191,919,451,011,412,410,557,
647,833,173,422,624,422,913,607,601,118,920,949,131,431,796,484,369,051,690,
733,389,569,253,057,693,390,942,245,153,467,782,175,293,578,057,857,294,071,
921,313,443,499,145,531,481,797,166,285,640,271,139,598,656,208,544,775,510,
731,301,721,569,278,843,484,577,836,747,845,668,276,110,876,598,307,391,702,
796,537,231,050,454,690,680,011,375,874,481,422,310,640,602,988,231,116,548,
098,890,266,699,726,141,394,518,416,251,387,236,433,760,577,186,712,094,065,
370,762,545,316,761,860,649,571,064,528,378,790,818,502,851,001,340,596,011,
094,937,907,825,897,548,188,536,799,492,370,237,317,231,386,806,574,240,423,
013,758,096,813,618,532,704,989,355,036,585,486,680,166,385,141,155,535,969,
818,690,960,745,717,017,648,316,065,416,327,238,748,468,783,049,794,574,135,
349,486,128,434,632,046,550,432,118,395,423,253,613,543,631,606,484,987,647,
228,275,571,307,107,625,780,947,112,924,032,151,526,702,924,300,664,917,803,
812,280,783,224,953,276,882,277,682,832,716,737,828,201,213,573,993,615,869,
808,080,096,367,446,440,022,371,654,375,627,636,213,286,977,291,202,842,999,
988,504,759,777,125,625,768,700,224,575,159,319,979,245,408,835,551,974,758,
476,714,897,615,434,605,635,701,968,752,867,655,190,657,004,943,129,472,523,
156,202,951,708,633,711,251,383,164,766,063,959,702,890,896,164,458,126,350,
312,535,942,387,679,971,201,106,844,728,375,687,508,146,245,283,229,766,659,
673,193,294,118,300,137,931,914,672,406,236,210,074,596,491,586,808,095,753,
589,972,881,019,002,829,139,322,849,597,536,359,682,794,143,474,830,995,128,
329,905,520,234,375,402,155,137,094,998,455,038,864,645,338,392,764,589,385,
044,056,159,654,998,879,386,165,020,217,967,783,018,692,976,215,131,468,245,
305,351,855,722,293,266,060,237,841,879,793,370,329,704,954,645,794,667,283,
629,548,030,905,336,477,100,011,772,306,293,868,233,773,041,748,804,800,603,
006,501,791,745,003,811,141,207,426,564,156,949,283,118,220,193,472,770,168,
938,696,618,581,475,735,779,109,630,232,506,360,439,367,226,389,574,349,911,
483,718,865,717,486,621,613,852,145,641,696,925,563,499,537,318,034,838,666,
518,801,001,741,287,994,459,113,869,877,683,471,484,943,811,083,138,828,021,
997,442,233,438,614,687,666,097,275,048,491,974,744,650,855,312,682,105,392,
546,451,069,652,515,687,102,153,358,332,008,414,398,920,892,559,676,274,525,
595,540,900,627,510,551,790,242,998,436,209,877,423,526,961,706,931,886,218,
878,152,123,093,038,691,886,421,499,835,641,480,584,282,468,724,531,951,250,
144,993,375,332,067,366,985,489,903,785,960,772,842,642,043,669,684,632,743,
063,118,198,051,283,241,194,110,400,386,802,735,527,269,392,790,682,684,487,
096,261,416,363,032,733,212,756,741,333,452,005,894,967,821,000,083,372,762,
491,853,594,322,112,505,797,445,795,272,752,368,608,151,850,755,771,932,980,
147,120,106,760,061,570,265,705,130,227,641,156,406,777,508,092,506,594,002,
457,973,918,606,914,546,229,672,560,697,054,749,107,648,477,992,220,551,738,
609,589,489,291,261,265,464,554,906,236,049,566,971,705,228,441,712,066,583,
583,154,476,234,782,089,873,166,993,262,669,200,169,482,497,863,271,253,603,
751,321,593,346,288,955,017,920,271,042,748,798,230,358,968,553,710,815,957,
604,831,475,313,388,836,785,511,073,536,633,408,981,413,630,406,454,277,000,
165,333,797,214,275,255,915,354,574,839,323,815,745,845,294,659,675,805,412,
562,850,752,908,315,722,273,988,133,480,463,007,877,465,652,114,502,601,573,
565,711,475,959,517,584,571,263,707,292,510,677,043,990,666,540,287,829,264,
668,151,482,911,381,602,926,297,396,481,003,464,455,367,490,512,499,870,440,
027,290,818,761,344,079,863,096,147,114,840,315,664,934,360,420,059,689,242,
411,754,065,680,891,795,218,720,185,144,283,273,897,430,735,544,485,596,222,
701,827,704,390,971,749,555,916,816,781,858,497,383,250,245,641,767,107,663,
511,248,526,280,175,235,574,640,302,534,700,499,247,048,159,192,775,993,575,
802,567,751,182,980,616,994,722,085,466,879,940,865,036,409,278,432,205,961,
105,758,970,644,882,798,550,922,119,118,910,111,669,709,636,701,242,081,652,
744,327,166,084,851,704,024,528,024,965,624,350,966,911,353,966,451,708,604,
511,991,228,216,477,288,864,876,050,004,066,282,718,728,371,771,402,657,151,
613,796,058,579,891,408,630,686,106,417,308,999,316,074,511,505,077,414,862,
103,016,822,832,223,375,101,822,965,670,950,412,750,471,686,521,477,696,988,
768,804,009,032,201,686,680,954,024,750,938,554,166,232,292,780,521,819,004,
051,468,797,712,231,464,434,989,538,194,251,025,612,370,417,619,784,246,862,
520,845,688,588,523,492,097,534,843,968,860,171,623,252,893,288,743,093,783,
533,144,770,876,747,464,588,005,688,172,696,951,111,942,310,012,146,257,368,
160,039,968,074,877,317,053,886,718,357,918,140,094,323,417,097,372,121,935,
480,419,724,367,024,687,720,395,789,844,139,060,504,579,454,689,697,024,350,
551,500,901,411,969,974,048,040,122,087,758,601,624,165,675,201,446,815,764,
995,524,746,532,620,400,647,954,043,615,481,506,410,996,341,164,458,797,953,
754,701,298,278,786,436,040,026,077,258,527,975,466,557,837,890,314,832,459,
690,951,475,460,515,025,934,592,903,550,199,060,881,333,313,967,013,178,080,
324,368,423,971,950,161,061,038,210,639,582,616,553,511,637,792,528,793,274,
255,184,350,116,922,045,378,761,956,792,435,582,800,799,239,421,988,495,912,
131,181,760,049,982,366,685,786,541,779,031,402,042,461,370,375,247,027,401,
220,940,831,610,828,240,729,914,507,944,844,027,738,992,799,503,911,487,883,
158,226,012,112,395,826,489,067,572,850,339,119,349,211,655,430,362,839,131,
066,158,179,230,184,556,586,497,453,609,967,160,069,666,770,580,506,135,499,
720,224,571,812,229,802,848,653,026,703,498,851,130,101,088,312,819,299,878,
549,939,656,034,366,438,716,481,837,404,634,120,539,200,303,706,695,098,970,
291,488,942,926,662,506,418,596,017,307,792,370,304,733,747,781,284,027,981,
305,713,312,074,116,440,955,486,086,460,792,009,192,238,761,356,312,141,826,
479,193,492,653,073,986,135,007,352,906,798,397,686,241,053,295,086,625,604,
823,864,220,482,867,633,470,554,162,652,434,646,750,393,782,052,750,074,664,
724,881,642,441,853,579,435,581,380,424,602,600,082,772,328,189,284,648,766,
168,315,113,326,726,225,471,518,775,551,227,823,658,171,105,426,855,969,962,
852,362,148,806,061,534,389,063,979,142,656,955,739,058,231,992,128,566,915,
168,283,824,118,701,931,989,913,389,829,213,265,730,640,638,348,051,985,945,
881,166,246,331,588,842,205,249,251,146,087,871,870,720,198,550,191,000,839,
172,341,468,921,493,086,311,488,657,549,012,713,808,822,667,189,091,513,752,
784,377,130,709,631,636,431,691,337,555,798,861,043,245,981,723,121,938,138,
456,561,352,065,890,479,803,274,187,989,567,231,037,066,341,149,699,869,367,
881,747,209,025,288,029,188,495,448,347,407,390,918,772,127,896,482,492,276,
661,701,007,768,548,916,270,247,184,193,281,350,076,624,503,710,718,329,820,
686,839,910,411,801,626,580,563,125,762,384,711,379,074,855,742,130,127,911,
723,267,621,256,311,158,415,951,938,466,889,827,927,875,817,452,558,680,997,
812,651,305,012,175,311,166,326,222,266,274,483,727,928,512,743,510,563,448,
583,543,377,564,768,392,464,580,944,107,748,404,979,744,913,822,498,640,495,
142,267,771,346,829,765,373,781,913,278,833,684,838,393,346,479,946,346,113,
658,660,006,079,185,842,145,796,736,112,282,783,308,726,428,477,071,546,889,
006,986,663,972,595,159,436,372,256,018,014,617,865,578,235,860,216,788,731,
781,099,972,879,377,872,322,735,995,101,533,487,805,866,861,085,322,251,060,
468,820,744,463,892,198,780,994,940,353,785,956,662,095,690,254,689,730,556,
581,290,325,686,744,766,284,905,288,094,497,686,219,358,092,782,164,290,161,
778,392,437,292,201,624,115,066,700,296,407,979,749,547,251,265,469,486,487,
548,813,041,663,217,033,954,406,464,053,417,537,943,873,443,481,344,659,417,
638,387,864,114,210,624,739,394,781,453,023,633,267,947,721,024,988,325,240,
099,163,512,602,086,181,527,248,112,659,760,908,780,194,596,088,596,672,106,
099,919,522,976,756,096,215,950,390,138,553,146,148,478,574,891,504,664,428,
202,407,545,358,334,930,835,569,789,073,316,551,534,882,793,496,043,746,319,
715,850,807,076,416,579,204,157,748,058,848,494,752,297,893,890,906,342,121,
427,507,052,508,339,869,875,100,248,241,541,311,990,150,414,194,828,988,369,
719,668,397,828,560,977,923,235,069,104,267,963,870,503,267,127,206,993,937,
897,568,236,760,508,052,674,474,369,507,363,161,785,103,646,028,092,298,217,
820,295,131,752,035,680,883,159,954,321,906,072,525,866,723,852,180,253,287,
943,821,969,818,962,190,789,398,989,726,229,569,978,499,249,915,262,557,032,
055,416,622,935,616,962,503,716,223,441,541,072,151,340,577,154,886,290,366,
119,097,193,980,587,259,989,928,503,685,162,949,279,992,317,076,643,316,073,
435,820,207,721,717,214,168,619,445,180,226,645,437,346,029,068,890,098,128,
684,171,234,089,706,541,965,362,767,994,465,350,765,065,864,045,315,240,550,
382,950,270,332,044,659,043,833,445,176,227,647,199,451,345,968,073,674,594,
625,190,414,782,070,736,183,834,787,853,202,457,205,920,847,623,266,391,846,
183,612,289,016,483,325,197,157,839,087,355,458,413,158,065,620,603,604,439,
742,669,958,829,922,459,598,015,415,409,085,192,367,400,822,298,492,464,700,
048,643,808,215,140,896,753,013,797,757,545,916,311,964,428,644,696,580,781,
229,954,434,614,061,000,511,338,117,935,945,676,268,287,261,123,469,200,450,
993,278,966,034,106,703,803,228,497,110,870,423,574,519,614,371,248,726,021,
581,463,701,373,328,148,051,988,662,311,992,117,536,880,663,223,871,809,181,
957,188,098,630,437,351,816,746,463,879,903,803,817,293,289,260,616,608,256,
382,111,545,255,977,450,633,647,131,333,545,988,540,094,915,829,288,406,260,
863,760,270,615,547,530,812,844,820,551,567,791,559,919,551,970,760,178,403,
108,334,152,483,836,015,018,220,728,008,128,935,402,645,570,689,629,233,600,
789,622,778,135,347,877,924,389,695,471,682,960,598,240,458,180,517,098,827,
737,831,325,094,102,587,992,942,443,319,435,211,967,210,044,666,745,018,437,
079,369,935,189,359,964,079,870,906,934,734,875,812,375,425,999,293,804,857,
632,998,014,685,412,201,546,658,392,488,247,964,930,796,333,965,307,265,271,
726,567,971,874,364,611,877,144,933,211,889,658,384,101,851,208,655,840,465,
511,499,952,717,405,930,027,441,242,817,193,885,663,288,050,529,165,190,688,
503,337,965,119,540,376,872,956,089,083,748,736,590,674,425,682,485,053,050,
892,528,442,098,949,742,770,355,157,863,686,228,042,023,996,087,469,454,598,
280,465,098,354,587,379,523,639,377,667,419,786,449,888,752,818,312,917,205,
445,094,720,010,973,336,764,656,942,133,632,866,091,875,762,086,489,198,949,
512,760,275,286,790,686,510,535,215,359,615,494,446,716,895,026,598,725,665,
996,221,502,973,369,245,663,176,522,983,246,519,619,992,704,237,920,048,985,
492,956,015,053,003,668,471,799,896,339,304,611,336,471,230,018,152,755,891,
215,543,160,362,041,734,111,815,071,689,752,571,980,663,780,916,160,052,740,
973,693,782,086,996,792,003,793,605,000,950,326,488,792,149,465,146,656,434,
285,300,876,708,622,321,311,866,570,617,484,281,608,047,832,198,602,511,792,
742,876,478,213,387,068,716,141,846,841,487,291,073,751,543,779,242,057,145,
817,116,254,278,066,752,634,753,089,925,765,987,938,481,535,371,688,294,931,
504,836,509,751,003,040,689,284,932,510,907,915,030,199,368,102,220,506,951,
803,931,895,378,323,347,886,737,450,825,250,865,853,530,967,614,640,612,151,
282,066,775,277,043,977,316,853,311,009,034,201,797,682,540,829,350,028,282,
508,019,763,830,872,970,871,105,974,187,407,200,830,292,052,504,420,240,102,
799,232,952,753,904,554,005,578,547,251,690,705,468,527,845,946,125,565,556,
762,451,023,504,592,836,535,122,378,376,818,333,157,161,958,171,003,473,826,
071,728,730,986,736,453,637,601,793,369,120,483,968,001,367,542,870,259,500,
038,443,818,122,634,338,922,384,432,443,903,916,759,319,145,256,614,712,425,
371,155,732,503,881,419,682,663,287,790,454,309,030,493,071,366,553,194,188,
958,913,641,962,509,119,765,348,615,472,448,842,989,166,099,813,330,742,116,
907,815,546,144,223,691,312,938,034,081,559,325,017,927,842,675,373,841,039,
703,542,687,367,924,377,279,235,656,979,581,726,319,196,237,317,056,624,882,
637,612,005,238,602,069,506,080,729,307,268,573,127,803,838,604,426,987,209,
401,077,323,219,023,191,617,504,362,563,325,894,279,498,956,878,115,804,157,
103,616,481,374,627,046,920,398,432,590,873,692,894,064,434,167,025,222,275,
101,357,625,528,628,955,707,766,991,186,490,052,203,908,244,218,956,406,435,
388,683,184,436,905,624,139,747,502,977,252,539,468,709,938,829,210,992,581,
410,279,357,556,030,817,353,445,762,841,127,084,812,092,384,308,530,136,155,
862,388,583,899,996,497,349,941,013,368,130,397,034,284,726,310,338,688,765,
562,192,253,569,654,549,936,792,689,570,600,876,044,739,239,375,561,860,833,
397,596,384,696,437,569,745,901,374,845,504,910,004,336,990,309,237,533,849,
461,053,631,948,735,713,317,374,364,585,564,081,560,114,622,786,834,462,629,
243,609,744,713,931,165,424,769,780,312,759,849,731,695,395,104,994,916,984,
528,471,614,833,205,302,544,415,979,248,544,228,043,796,839,932,484,990,654,
688,169,404,466,363,008,457,579,456,096,039,649,455,618,850,461,346,598,114,
068,465,880,084,195,550,988,669,336,273,604,250,834,233,132,551,484,586,101,
056,712,327,235,571,689,665,880,494,609,789,520,648,583,563,412,138,809,342,
863,492,390,876,021,916,900,437,484,471,340,613,309,507,077,211,350,178,906,
660,450,431,862,538,280,667,073,392,296,487,597,402,009,101,970,939,533,069,
541,168,318,019,773,168,300,308,644,043,282,215,589,683,436,421,684,001,936,
027,307,847,492,339,041,634,977,182,577,487,026,815,346,307,347,514,997,259,
221,970,841,289,055,339,510,061,280,765,235,158,893,083,274,874,342,207,969,
336,219,755,849,132,813,255,186,699,338,007,748,318,232,159,586,400,797,376,
965,617,573,843,522,710,697,768,593,265,413,441,348,307,586,906,624,422,465,
897,436,352,400,802,410,717,699,213,751,419,304,891,581,854,952,582,248,770,
536,755,159,884,934,823,542,671,443,274,260,440,432,785,301,945,361,247,981,
283,746,895,925,738,750,761,201,489,227,072,135,516,912,107,036,833,769,725,
038,314,778,700,725,465,386,760,960,992,228,348,809,980,999,224,312,090,628,
523,069,128,693,461,435,205,443,126,417,825,841,123,352,795,826,009,919,567,
540,118,972,913,853,237,552,337,188,472,249,998,384,861,208,221,150,731,411,
286,943,785,656,963,082,673,914,517,862,655,718,889,623,531,957,300,159,586,
205,306,571,631,992,419,154,375,207,094,695,201,082,813,963,126,659,885,542,
157,021,427,651,348,595,648,523,962,455,907,234,283,279,999,711,004,886,628,
818,052,832,960,091,904,845,549,083,668,072,924,938,391,576,523,424,794,948,
520,321,372,001,891,258,306,323,957,225,943,044,474,654,356,121,711,881,659,
117,458,043,867,994,733,611,582,852,108,176,637,607,246,227,861,484,076,474,
075,194,711,694,557,007,048,570,757,788,828,794,784,598,112,853,776,062,730,
066,794,867,890,638,889,986,494,207,206,130,157,098,475,799,148,308,511,600,
212,866,219,287,996,059,278,655,971,054,921,080,217,581,288,261,890,954,284,
484,769,188,560,491,517,044,984,516,125,333,482,309,168,500,224,188,326,993,
348,021,396,958,185,976,498,219,482,614,169,038,944,471,138,738,485,486,421,
964,519,253,257,789,638,548,015,923,755,724,543,949,198,640,132,407,358,441,
670,874,779,438,031,538,327,818,797,117,340,926,827,122,766,755,074,476,440,
548,341,943,457,059,794,006,169,684,196,003,951,385,452,590,248,221,428,067,
990,963,536,646,185,786,704,774,690,196,778,972,172,314,348,991,679,509,593,
708,346,083,897,899,673,481,572,018,227,291,429,865,129,905,174,393,196,903,
890,269,880,629,904,688,180,607,889,712,270,417,928,793,060,982,625,536,414,
442,509,277,903,729,145,610,426,070,604,669,176,665,757,166,442,334,480,922,
061,549,184,726,592,886,163,382,969,549,683,621,602,618,007,931,829,771,976,
671,454,701,217,669,453,483,391,037,952,651,392,216,440,500,347,416,366,885,
141,584,576,820,039,240,245,382,547,723,026,561,290,045,244,709,397,060,850,
831,151,717,120,233,023,811,849,292,911,666,933,495,310,390,555,379,815,803,
093,860,832,456,002,220,078,914,075,505,317,802,954,071,664,597,656,895,148,
699,558,735,850,028,741,796,552,024,052,564,439,118,117,904,050,041,620,507,
045,072,987,211,504,186,157,564,966,510,209,101,746,967,282,633,872,519,505,
526,122,916,821,086,597,169,597,222,939,237,866,549,640,289,831,156,635,090,
874,881,694,624,000,646,855,198,643,404,478,683,598,069,976,116,219,280,116,
321,368,013,289,563,252,605,719,175,652,299,137,103,530,447,599,600,281,771,
225,738,723,118,693,117,005,276,038,784,636,215,980,027,438,623,847,437,432,
417,822,541,179,298,779,310,386,483,794,197,180,136,748,201,007,870,033,941,
453,697,819,900,267,109,697,446,634,644,839,003,772,424,098,678,469,977,116,
179,104,243,228,973,862,404,802,395,611,449,482,403,542,352,579,904,147,326,
055,910,083,673,089,205,024,544,073,217,599,002,328,364,591,820,230,519,841,
260,161,240,379,564,909,396,005,696,007,737,982,713,432,517,315,095,056,028,
708,129,652,999,666,963,585,332,161,843,502,037,669,165,806,625,174,272,319,
506,689,520,280,548,796,004,610,373,285,480,628,278,796,193,503,078,124,605,
945,734,897,263,178,642,360,228,961,572,508,383,578,520,183,911,907,735,803,
930,076,764,680,712,568,502,805,558,295,833,239,424,627,814,411,468,177,551,
933,493,819,975,963,089,059,111,454,590,284,043,303,719,380,578,168,543,881,
478,450,367,710,014,984,815,552,019,730,483,206,734,602,966,733,808,024,400,
936,124,432,287,846,257,307,073,088,547,174,201,198,397,835,647,876,048,413,
801,251,805,509,913,571,081,174,586,071,419,980,078,636,449,740,645,169,584,
485,449,354,239,085,790,054,315,298,079,786,366,442,373,524,984,716,572,516,
757,505,366,289,776,242,973,120,344,915,574,236,919,384,104,109,628,256,570,
432,879,073,922,381,320,212,705,966,474,549,822,356,942,757,094,178,504,809,
013,246,278,103,831,511,198,875,920,165,483,536,652,714,746,068,550,350,225,
165,472,833,597,381,087,242,224,753,562,365,600,126,964,923,365,527,421,481,
972,867,957,870,178,649,662,387,325,988,229,076,533,439,414,354,021,551,818,
208,899,605,615,640,201,565,828,054,155,878,237,937,690,926,739,882,370,652,
824,549,383,168,699,299,117,483,657,635,686,311,932,199,848,366,220,961,138,
599,648,285,423,745,906,473,435,832,317,231,786,149,046,395,899,607,593,893,
423,576,291,251,248,276,464,515,169,241,362,286,007,918,566,366,399,828,316,
598,765,501,531,079,099,968,197,318,204,710,808,452,844,045,795,888,340,787,
370,321,747,307,510,861,672,122,151,619,285,085,801,310,039,110,638,563,909,
798,093,876,455,799,521,918,334,114,852,761,965,225,889,703,709,573,742,531,
862,208,394,145,496,355,227,252,282,454,881,518,813,459,790,032,294,627,869,
995,259,747,769,409,126,600,761,925,158,037,544,538,423,843,288,736,923,334,
287,446,572,793,057,996,991,664,604,248,994,813,109,699,205,187,180,811,907,
185,976,018,586,039,363,297,067,294,430,437,556,669,811,755,402,694,945,506,
825,266,751,818,359,503,267,037,291,863,966,379,132,342,795,155,013,154,859,
381,792,533,303,456,734,533,263,207,447,297,009,856,689,501,282,326,349,463,
893,282,451,465,394,432,270,380,377,107,376,747,708,820,947,166,692,239,775,
916,129,005,777,522,525,443,432,104,412,797,232,775,386,362,678,623,338,052,
235,151,106,150,554,731,047,473,119,023,720,837,898,549,747,384,197,303,399,
982,428,862,570,301,843,266,659,937,090,381,873,127,699,080,662,131,665,399,
789,909,374,395,144,977,804,656,880,007,697,936,809,611,461,369,944,786,672,
945,316,444,746,925,856,826,482,641,584,691,163,035,646,343,581,467,532,085,
277,327,982,593,645,816,425,570,532,770,419,294,118,180,116,543,476,113,359,
814,741,845,164,720,315,273,993,601,986,794,067,178,850,320,117,846,949,620,
939,910,854,104,295,400,720,509,569,266,971,280,997,696,973,537,417,527,765,
384,987,788,272,624,133,165,584,245,876,547,631,865,771,123,044,653,709,444,
468,918,282,146,674,657,746,794,802,624,505,722,201,550,621,751,603,728,967,
279,390,417,153,715,482,210,347,274,560,360,485,446,210,529,340,594,607,900,
117,939,153,664,379,083,527,154,949,707,800,990,878,213,735,859,892,264,869,
959,337,260,716,514,932,334,103,519,687,175,184,431,194,509,268,901,395,823,
199,724,395,070,368,195,525,968,017,088,079,939,802,545,348,182,764,646,382,
855,285,057,719,758,976,745,743,118,254,650,135,011,473,785,642,891,616,992,
058,676,479,236,303,743,517,521,524,202,234,350,333,358,079,956,440,406,237,
315,396,438,741,003,272,260,807,899,614,403,100,654,835,842,112,953,867,943,
866,440,126,625,093,293,647,113,007,505,550,906,182,159,889,500,058,025,975,
744,312,769,219,987,951,349,843,774,704,552,042,460,181,261,059,501,690,042,
505,411,253,082,860,635,918,368,093,227,620,384,055,735,961,100,097,338,930,
175,952,613,373,410,971,403,642,066,331,479,054,905,120,352,219,878,054,202,
135,539,328,446,594,166,813,885,791,622,888,978,061,570,852,542,992,384,058,
643,491,927,144,705,412,313,736,508,226,023,373,877,510,757,118,338,033,961,
317,970,987,686,412,343,958,780,046,634,226,232,047,006,040,007,076,027,462,
329,980,868,086,386,133,821,510,844,785,072,400,566,650,247,481,472,119,705,
474,279,287,937,195,495,358,874,420,447,358,305,716,953,237,015,326,866,602,
150,243,715,628,179,838,250,192,469,853,956,114,627,182,616,102,149,706,692,
563,201,450,185,679,184,860,871,249,673,381,184,121,082,583,171,921,508,196,
328,837,219,748,356,795,665,228,998,694,362,257,821,319,243,248,054,210,193,
308,500,525,433,853,503,904,499,033,505,259,056,893,013,786,922,186,007,934,
880,449,250,847,583,440,285,787,889,998,767,183,998,496,098,637,088,161,609,
813,895,783,754,391,451,969,408,168,341,140,869,367,632,845,270,737,813,072,
720,189,893,768,901,061,639,953,896,496,223,543,539,394,292,330,785,157,401,
779,124,990,742,117,835,124,694,478,876,063,905,069,930,722,719,599,513,442,
490,592,843,627,649,827,326,961,961,856,622,411,667,739,277,992,811,673,106,
026,123,902,918,687,153,579,379,183,624,299,191,081,276,972,281,138,741,869,
583,353,377,800,788,685,775,343,083,566,066,182,752,203,394,633,845,027,259,
524,891,699,681,893,544,902,422,576,641,899,413,509,584,233,490,430,184,723,
566,249,267,682,581,132,031,593,855,357,212,591,779,980,290,085,518,411,101,
158,276,103,625,998,322,717,778,094,499,147,324,289,614,947,420,066,021,922,
512,367,823,342,360,193,557,723,738,153,213,555,148,252,242,952,039,526,434,
529,392,672,349,302,651,334,445,644,574,966,572,578,971,364,743,652,229,490,
613,684,357,475,279,204,120,164,650,619,159,211,667,400,623,397,718,333,184,
595,632,154,142,880,130,041,283,248,323,149,654,227,324,898,267,796,146,812,
021,640,999,072,037,265,124,801,127,924,733,613,602,205,771,864,868,760,707,
382,598,689,036,416,225,813,892,693,235,716,092,801,005,555,972,856,850,372,
200,783,207,912,439,906,386,925,700,300,390,148,080,427,402,133,273,805,791,
496,260,051,066,062,916,353,261,842,205,383,682,528,748,181,471,710,038,661,
091,781,108,155,324,647,507,632,099,914,847,067,026,762,594,692,548,800,864,
195,030,992,609,196,990,479,542,824,000,264,855,384,580,599,798,265,391,012,
222,355,571,959,925,810,635,445,500,704,909,237,380,998,161,270,855,873,410,
339,575,940,045,903,088,024,282,507,204,766,897,836,020,479,625,304,525,177,
244,249,059,955,606,047,436,243,086,432,790,004,482,330,021,191,534,221,368,
968,881,407,818,416,935,629,327,955,800,057,310,003,650,075,351,661,625,744,
910,940,297,319,947,248,261,449,006,535,942,090,768,295,566,098,282,287,170,
604,607,405,565,979,055,250,748,513,455,175,482,529,055,363,769,023,952,513,
053,137,791,265,817,330,163,461,745,138,776,242,426,678,267,425,095,194,139,
546,282,950,955,040,812,707,092,220,370,125,498,003,451,213,300,149,850,992,
945,562,760,340,442,217,925,823,544,885,760,070,744,741,541,889,312,974,830,
194,270,902,681,916,478,365,872,761,962,651,333,829,377,985,715,031,510,423,
452,522,313,807,062,819,390,111,673,469,431,238,760,783,372,107,808,195,345,
834,647,310,346,545,202,546,093,258,474,055,071,720,990,620,260,747,183,142,
842,027,455,078,612,067,674,431,539,634,776,514,901,964,426,878,724,018,358,
869,724,045,213,771,152,576,759,082,026,383,498,945,229,819,481,573,992,178,
370,737,643,091,248,273,617,068,289,190,460,788,143,100,197,149,202,039,627,
427,159,840,391,107,122,243,862,840,742,195,411,187,397,433,772,960,203,680,
519,366,875,285,141,805,592,887,786,130,961,601,402,148,215,163,035,790,688,
365,818,045,139,667,941,205,834,004,298,059,893,936,476,559,970,413,779,460,
030,237,056,003,442,728,063,884,834,039,274,065,030,245,178,198,235,197,956,
342,777,382,804,511,988,955,112,547,370,369,488,603,937,375,687,624,133,360,
798,636,238,406,212,692,813,845,730,868,427,462,863,368,008,888,499,987,593,
388,045,187,007,208,593,904,885,241,780,412,490,408,309,417,193,207,524,564,
735,124,734,418,490,621,453,632,731,986,159,549,522,331,954,172,861,470,323,
629,790,354,252,229,449,349,378,531,851,238,864,793,248,364,501,154,236,219,
584,768,159,493,778,652,222,085,921,349,309,872,038,821,550,804,504,378,742,
824,994,671,468,528,142,446,835,452,540,524,346,422,082,454,635,433,094,524,
548,184,598,908,790,978,733,566,966,004,635,496,600,590,678,051,458,819,535,
507,734,237,407,253,737,069,915,352,246,038,920,585,582,854,677,952,039,443,
448,698,882,627,967,125,533,458,690,610,842,786,690,707,321,196,948,163,998,
381,148,185,684,377,327,022,899,336,451,121,793,960,115,029,334,872,148,924,
584,693,931,050,047,048,271,503,657,231,083,272,166,295,342,185,239,287,822,
290,263,932,940,131,236,258,255,962,662,190,433,826,555,151,927,828,471,288,
118,957,209,835,693,017,844,021,501,370,282,472,693,846,273,224,061,444,943,
665,019,229,545,519,085,486,826,401,857,076,979,611,437,205,499,692,561,159,
577,385,748,545,871,811,520,047,022,181,586,755,079,041,160,743,147,776,840,
684,114,762,456,457,963,012,294,006,503,452,503,444,686,054,695,204,188,971,
723,798,166,391,461,014,324,981,671,222,129,484,814,599,254,323,293,413,907,
789,902,959,618,533,070,664,025,237,242,337,815,427,533,564,214,897,562,881,
650,655,554,083,415,567,700,341,331,204,557,764,986,764,719,516,344,570,498,
915,772,810,471,804,975,669,894,521,134,084,189,091,538,891,637,135,014,879,
467,853,153,039,829,656,064,466,189,070,787,234,152,895,671,867,217,457,725,
309,692,423,776,445,145,843,864,077,856,731,781,666,435,522,440,104,019,688,
671,209,299,324,270,277,885,105,377,779,343,458,260,706,581,353,815,538,755,
875,349,216,750,560,616,691,695,300,619,748,896,141,038,644,108,836,785,962,
818,908,423,860,844,740,611,898,205,624,723,605,530,958,714,523,800,204,721,
152,529,556,118,995,032,155,826,995,251,650,256,750,956,513,608,792,744,374,
105,323,590,778,658,353,165,502,439,043,571,613,369,855,071,923,976,746,595,
941,487,977,321,349,084,244,748,076,377,459,072,605,966,431,888,239,313,764,
425,517,739,808,832,861,527,825,570,434,434,991,424,734,414,620,848,596,572,
215,423,140,437,954,736,644,185,654,619,061,672,975,793,504,656,005,868,728,
342,596,241,767,991,159,635,831,900,330,534,300,687,800,075,994,507,910,372,
903,450,724,280,044,060,192,416,233,070,406,585,761,508,324,291,262,716,555,
992,829,802,939,915,236,248,481,443,370,791,278,198,795,293,993,431,066,881,
873,459,859,625,830,665,057,789,789,734,209,088,173,130,490,214,196,222,589,
083,830,329,925,372,207,349,599,543,814,772,520,504,347,100,249,374,412,856,
801,484,679,006,359,400,219,088,639,246,505,817,824,599,183,474,384,515,833,
252,559,701,348,787,340,162,371,863,825,327,051,818,908,309,208,730,917,540,
693,831,230,558,817,896,428,092,899,577,867,775,406,847,974,981,444,518,213,
253,309,491,024,184,849,951,626,502,095,026,227,855,863,576,717,705,811,934,
917,362,285,936,432,344,723,154,798,122,147,461,276,589,033,429,132,013,828,
043,360,476,487,391,418,865,042,228,207,540,355,914,194,790,514,324,394,084,
687,422,999,668,852,224,855,163,062,114,283,708,401,803,522,622,270,115,793,
365,900,172,082,389,306,447,967,677,925,822,596,089,487,610,096,381,588,286,
769,180,402,844,380,363,121,929,387,759,373,974,218,409,621,055,625,442,906,
544,764,696,644,965,127,415,519,978,520,647,775,070,217,180,354,882,096,265,
106,659,111,002,877,780,981,626,684,490,294,028,537,902,863,258,122,880,385,
886,623,520,158,064,875,218,968,210,176,842,012,014,054,294,964,059,190,528,
104,818,992,220,174,580,112,448,165,397,044,270,954,642,174,294,924,852,852,
830,238,101,594,046,178,291,981,602,659,288,869,031,720,590,050,493,859,430,
545,925,230,635,278,732,685,120,421,860,303,086,596,438,460,729,613,707,196,
642,222,224,541,676,015,766,211,480,031,446,584,415,776,058,794,194,393,165,
066,141,080,812,037,624,012,833,632,075,008,341,864,737,802,360,331,308,241,
773,745,073,710,884,801,902,827,563,434,625,918,915,352,740,532,277,132,931,
423,621,359,243,680,006,293,948,754,163,221,113,101,595,648,568,528,721,990,
437,357,418,668,210,789,250,839,244,708,414,862,344,740,280,231,296,182,418,
023,631,859,181,879,825,565,583,702,221,012,207,724,316,729,042,309,232,096,
102,731,180,356,962,282,485,257,528,504,521,905,736,451,700,782,052,578,495,
309,203,049,173,935,925,035,818,047,464,448,529,684,081,000,858,228,615,801,
246,699,636,188,575,286,594,726,718,180,824,310,455,139,661,634,987,132,641,
473,225,354,063,110,290,411,216,460,959,592,265,093,806,260,726,990,672,399,
574,297,830,953,248,272,098,817,544,055,275,186,888,611,301,044,309,576,264,
301,793,697,557,377,248,542,222,538,628,209,579,521,479,998,457,983,023,895,
952,640,850,874,591,152,609,077,406,223,948,766,070,183,490,768,812,801,883,
523,237,650,392,597,212,946,351,424,202,039,163,842,025,023,564,143,731,275,
767,185,954,490,835,044,832,518,822,346,411,018,059,933,622,938,098,522,954,
309,727,187,067,370,600,476,666,982,983,679,307,861,017,757,696,239,669,432,
709,157,461,702,512,905,272,335,103,251,643,112,290,441,350,288,919,458,291,
040,894,765,376,010,151,588,608,429,368,408,244,474,368,196,422,416,422,157,
570,231,153,688,173,537,310,186,731,080,993,223,310,264,401,886,914,082,482,
541,119,357,169,430,888,255,605,497,105,289,656,780,345,055,508,086,539,899,
487,700,349,230,176,148,381,922,280,754,671,165,613,298,834,294,225,336,232,
003,742,333,887,579,208,608,624,363,862,105,602,920,090,599,166,130,612,095,
620,726,931,238,734,712,448,996,671,051,609,514,171,847,202,344,381,238,596,
101,007,853,976,849,357,981,722,898,145,285,842,461,018,564,423,120,324,421,
259,290,930,977,667,104,217,112,884,198,503,261,937,858,856,097,869,559,446,
555,601,425,041,444,121,018,447,417,055,640,857,338,982,792,784,637,657,457,
787,667,104,465,851,481,297,877,282,735,520,268,193,563,215,473,531,351,504,
922,926,307,300,055,392,005,529,461,577,003,062,693,480,163,386,747,416,565,
146,983,296,979,022,285,486,994,648,642,004,669,850,547,749,026,095,936,186,
274,958,316,766,923,985,473,674,457,283,391,248,439,603,768,218,078,269,276,
107,756,025,939,622,718,064,087,491,821,080,563,341,427,867,274,781,780,132,
782,775,825,589,458,158,588,924,374,039,114,009,590,950,512,130,545,725,845,
724,118,809,428,594,537,753,443,148,373,969,396,438,730,482,802,250,242,680,
429,401,462,253,350,199,819,239,577,625,068,733,907,683,699,169,061,705,205,
439,492,933,250,974,774,066,414,221,450,930,383,035,874,697,980,357,936,037,
287,507,738,873,291,941,165,787,374,724,923,956,859,341,726,140,086,779,747,
159,574,849,915,361,061,033,222,676,240,620,166,747,597,738,959,620,379,845,
835,889,076,035,353,703,920,998,282,507,567,871,367,005,189,126,363,384,550,
468,932,425,884,452,816,470,444,621,132,847,835,806,075,888,522,368,696,510,
731,650,834,863,974,212,484,936,410,517,999,325,851,182,748,012,269,549,542,
017,383,662,007,670,514,218,469,319,211,951,601,217,023,708,757,299,306,121,
136,189,910,853,769,356,481,093,847,967,200,242,835,475,691,472,220,559,590,
055,481,680,577,553,261,715,742,584,401,227,618,191,406,914,015,046,714,519,
548,733,347,199,490,267,105,215,359,359,013,796,237,668,081,647,953,551,377,
163,002,873,260,590,609,903,125,711,712,954,913,978,433,356,462,381,571,773,
827,556,158,311,003,662,753,463,551,525,528,505,214,762,409,858,628,495,775,
709,587,320,283,350,048,071,858,837,620,553,818,736,439,287,957,306,162,246,
500,728,171,646,938,652,722,469,616,130,604,914,019,598,722,413,535,535,979,
814,531,764,019,930,601,855,176,711,731,617,243,564,099,699,299,165,804,765,
274,834,663,791,316,527,448,262,624,065,755,236,035,904,887,179,584,403,012,
818,411,727,439,138,333,266,115,703,749,828,201,469,737,962,703,097,361,617,
879,448,964,499,630,160,002,872,188,207,274,383,438,954,864,618,095,919,679,
802,289,959,746,105,711,958,396,506,211,324,504,466,591,027,418,410,553,597,
508,664,376,234,616,538,385,369,823,722,196,883,449,650,769,324,606,406,701,
301,987,875,447,539,061,827,830,363,388,727,634,387,923,777,603,992,103,368,
442,404,579,153,239,882,030,292,623,890,657,786,410,964,860,527,727,908,720,
857,512,776,668,897,915,691,994,151,941,094,897,521,074,735,565,173,683,866,
012,540,530,418,769,262,605,739,971,534,704,633,710,046,806,361,887,722,849,
889,234,272,610,153,623,654,572,772,005,007,833,855,752,359,174,140,560,751,
708,036,048,616,156,571,776,624,565,266,795,211,923,594,457,242,892,439,263,
581,322,818,461,251,580,689,539,841,130,713,082,475,666,983,355,407,677,638,
414,618,301,252,495,115,359,115,453,348,581,566,261,109,558,311,730,950,146,
477,957,157,881,171,679,166,638,737,916,827,693,703,297,968,604,463,372,974,
092,627,120,992,861,346,963,976,630,326,605,082,704,544,273,945,147,515,275,
157,117,108,144,606,411,829,383,106,820,947,229,842,560,386,856,338,030,378,
639,732,381,295,203,100,128,818,931,960,928,194,279,346,599,368,896,622,173,
513,642,165,047,276,820,171,442,729,848,719,683,668,863,421,133,489,571,939,
599,256,758,815,269,340,032,044,193,325,114,937,904,025,025,199,522,018,067,
324,024,677,205,619,108,033,519,753,801,184,132,502,925,259,307,832,631,676,
858,339,197,091,137,377,119,805,745,644,663,203,587,156,625,971,275,778,644,
145,885,414,539,984,367,308,942,561,966,837,142,642,277,944,549,665,185,586,
641,133,662,270,807,301,120,996,632,874,746,827,300,464,314,859,492,336,080,
744,830,406,336,829,063,709,449,614,035,302,915,368,132,962,386,188,112,684,
669,223,536,595,194,394,787,044,848,933,501,433,989,341,524,368,131,541,900,
923,735,280,941,893,536,686,287,090,426,013,776,091,688,512,803,142,026,552,
094,115,615,790,694,271,298,616,483,616,132,825,749,837,546,569,509,367,607,
404,388,258,708,383,985,173,540,348,563,936,370,123,793,902,114,426,650,257,
587,421,584,466,585,514,780,163,683,340,375,531,193,369,207,154,701,577,608,
033,776,916,216,208,704,881,052,866,261,023,256,557,527,607,683,850,853,905,
940,848,440,646,123,605,995,073,828,345,867,493,588,331,191,517,748,416,779,
840,089,756,472,715,182,958,933,020,324,417,535,485,972,249,941,240,328,397,
193,594,661,745,488,547,905,210,893,570,891,905,704,638,968,831,879,628,131,
828,435,054,153,515,565,206,536,919,512,070,313,031,917,738,314,528,977,645,
054,838,605,386,028,766,756,641,527,739,579,458,463,542,104,831,017,772,001,
126,556,184,768,639,961,832,225,020,172,105,929,355,807,056,293,615,214,548,
625,830,767,711,823,460,786,990,571,555,164,231,629,886,445,503,762,391,930,
122,356,893,490,986,750,365,668,042,444,837,364,256,711,211,879,338,857,015,
830,650,976,223,367,272,645,628,000,985,429,081,427,294,389,777,053,952,521,
893,477,248,969,719,223,619,619,819,349,522,368,053,194,951,280,064,814,334,
843,794,817,200,878,178,083,845,464,402,597,032,456,480,398,622,962,566,666,
357,010,532,450,643,477,544,511,646,824,189,264,838,091,872,330,796,035,321,
190,758,046,833,561,940,334,109,573,999,680,323,612,925,735,900,002,319,882,
209,705,519,894,306,617,555,230,318,979,242,470,117,785,520,312,250,167,749,
975,845,589,065,896,213,918,574,540,044,047,308,335,469,187,212,609,586,637,
533,059,313,663,751,733,288,182,680,606,308,217,254,696,899,198,280,884,387,
694,281,131,927,607,181,392,359,918,794,765,766,615,712,065,113,645,166,134,
490,235,806,756,294,413,101,411,920,217,541,887,438,781,131,994,984,678,418,
682,322,612,796,937,231,443,009,641,002,781,588,734,845,725,913,889,685,143,
872,789,009,346,718,845,030,182,459,377,234,932,795,566,488,147,745,126,176,
382,003,938,146,464,306,640,967,639,666,520,117,698,332,413,074,265,309,670,
357,959,534,432,148,418,378,194,771,401,268,860,472,401,894,316,762,328,034,
747,207,787,476,220,973,700,022,538,057,731,092,111,466,978,193,736,135,001,
962,473,893,668,292,080,182,320,947,103,777,858,657,194,688,905,386,325,409,
346,373,185,513,098,773,057,295,286,852,735,358,932,232,155,967,264,616,343,
356,303,622,947,961,009,775,153,833,792,021,382,944,098,900,620,890,194,809,
375,121,213,367,707,270,805,789,070,459,576,346,589,115,520,113,903,173,593,
986,903,018,494,509,040,331,851,092,390,133,589,821,539,574,357,181,924,599,
858,229,038,678,229,742,658,999,060,721,073,448,699,356,955,572,849,756,641,
329,606,997,315,825,966,610,387,720,096,221,880,715,471,215,315,436,831,537,
636,877,598,420,615,243,683,971,715,841,071,694,446,200,231,183,444,637,908,
035,121,884,461,268,886,037,760,719,867,042,226,509,567,026,146,084,564,641,
250,730,305,619,483,533,615,341,479,647,492,104,530,813,307,542,963,754,580,
551,094,653,985,937,912,229,876,530,053,141,677,990,001,145,695,150,628,832,
371,203,858,450,498,377,872,272,858,904,791,262,401,537,356,046,116,970,236,
021,790,544,829,240,500,870,760,577,324,271,191,280,228,966,940,478,920,898,
142,716,763,052,093,821,613,141,410,173,600,437,542,259,410,496,127,262,526,
450,262,177,511,277,609,953,267,306,380,531,714,087,222,352,709,827,636,168,
826,120,383,781,822,296,574,670,924,425,566,122,345,186,033,632,031,353,004,
199,424,735,392,749,873,251,773,829,225,054,752,118,958,141,994,134,804,329,
646,941,219,448,427,975,020,622,322,856,839,302,479,354,658,143,219,850,937,
630,000,719,492,315,174,328,678,348,432,933,703,721,525,682,291,990,075,745,
412,890,418,329,006,937,101,508,983,936,860,878,011,817,532,036,134,449,415,
053,004,670,209,899,465,586,166,944,951,685,803,969,463,782,141,218,145,862,
358,503,793,394,888,211,069,657,487,523,712,069,964,700,505,417,760,436,114,
828,895,631,661,405,093,659,911,849,084,770,114,954,773,089,254,577,088,376,
969,254,225,497,572,651,955,046,355,510,422,871,847,966,194,082,766,975,588,
679,300,537,944,539,004,423,395,455,938,476,095,753,561,712,038,450,698,810,
945,892,547,829,679,237,964,817,952,883,404,942,910,585,564,257,412,653,000,
179,446,420,874,747,504,722,079,823,951,816,020,465,700,542,262,887,153,778,
763,408,696,810,022,069,052,639,259,283,292,922,641,452,454,851,993,919,245,
270,277,484,358,038,615,726,943,003,043,669,186,996,935,002,393,395,090,865,
196,888,860,503,306,197,486,789,489,559,660,429,894,731,047,399,311,268,566,
833,282,267,177,515,120,649,751,903,678,974,403,922,185,736,855,105,449,263,
829,030,267,239,534,296,259,686,058,174,111,212,987,901,664,083,475,060,836,
884,144,337,110,743,886,311,432,740,391,093,687,139,742,955,032,954,779,218,
395,193,175,964,161,373,226,477,494,849,335,369,011,695,288,322,448,756,066,
133,327,159,942,476,964,812,632,834,284,349,747,037,409,577,275,966,780,080,
818,994,354,946,454,856,443,753,910,480,610,921,146,616,582,458,641,394,547,
022,636,902,392,776,419,576,270,538,311,206,166,421,013,419,173,463,010,383,
332,989,341,715,081,896,514,310,924,541,974,862,331,542,748,527,993,911,849,
475,082,842,657,747,436,922,335,115,034,945,575,550,653,267,488,429,306,271,
435,744,198,925,548,177,742,126,121,932,958,376,482,426,182,713,536,889,306,
547,505,190,882,967,279,975,676,010,745,401,035,236,099,225,505,167,496,798,
051,292,432,555,064,663,719,124,213,914,050,646,266,990,363,004,726,585,501,
540,443,885,188,724,235,509,112,784,670,627,730,884,626,482,506,256,178,103,
465,978,846,338,084,338,651,531,166,001,380,814,446,029,056,025,552,925,332,
162,211,873,273,668,234,315,584,533,505,608,194,168,010,805,588,956,453,644,
771,390,383,459,146,685,600,743,874,616,621,268,512,641,615,838,477,521,293,
037,026,874,732,923,321,433,851,429,454,557,464,200,501,002,470,951,153,602,
777,328,052,481,270,355,762,982,738,527,034,406,706,558,166,700,983,703,811,
153,887,382,233,094,780,249,423,928,839,149,654,358,235,520,784,036,859,730,
335,800,201,651,751,542,467,845,935,605,397,578,205,917,899,577,379,683,583,
172,512,751,285,497,140,930,371,021,987,117,967,787,052,548,740,687,860,664,
772,278,821,268,279,249,444,846,039,747,526,884,237,329,478,576,305,562,633,
674,790,002,858,038,376,268,749,114,342,637,383,469,666,511,106,919,330,638,
256,142,402,471,604,604,592,983,842,106,678,958,661,684,670,577,618,069,747,
234,143,335,167,828,421,494,416,406,820,567,168,901,643,246,469,089,558,232,
092,220,483,771,166,050,663,876,828,670,225,035,638,348,770,563,398,668,559,
724,488,077,946,549,185,142,254,750,776,361,724,043,357,280,433,122,627,637,
372,777,399,271,033,642,050,897,485,395,682,014,068,192,200,003,680,342,727,
836,761,454,262,120,958,255,433,241,724,273,103,727,520,236,204,247,415,722,
678,235,941,350,153,377,009,212,036,341,342,005,126,566,225,100,368,499,803,
932,585,993,404,752,292,471,902,257,539,549,734,063,689,916,056,105,858,518,
363,451,788,474,987,806,795,527,002,219,469,131,158,369,748,553,417,995,621,
634,714,517,551,441,915,873,437,061,005,976,185,053,383,693,277,602,884,306,
485,006,866,651,167,716,765,247,446,072,033,711,206,995,800,136,393,828,360,
702,942,001,659,066,127,334,898,065,511,910,233,022,798,609,040,509,386,166,
254,051,339,466,769,602,392,158,237,494,968,715,752,526,860,080,923,515,952,
797,985,107,026,807,054,000,128,135,653,167,958,363,616,781,063,074,375,555,
790,275,846,440,512,930,687,083,601,706,744,193,719,078,166,420,355,909,743,
429,031,223,831,973,964,760,968,208,583,985,315,227,732,621,028,859,053,788,
233,941,044,913,482,010,231,310,474,132,817,499,533,901,323,458,570,848,207,
527,641,034,490,760,808,521,441,378,415,017,640,342,693,803,397,004,701,798,
037,589,257,807,374,154,527,911,293,484,259,142,319,728,694,432,946,529,324,
317,571,611,062,447,729,687,343,303,251,337,709,268,164,413,777,933,709,599,
449,471,649,449,141,190,668,460,749,336,321,219,475,658,746,738,666,231,831,
434,762,634,838,383,177,131,124,187,015,419,111,978,736,784,036,698,706,453,
316,050,636,136,572,262,564,951,332,041,565,636,586,767,282,357,725,856,870,
433,413,047,476,535,799,930,767,310,369,605,372,756,906,567,136,702,291,659,
245,618,049,905,569,240,330,318,265,556,915,507,442,591,156,313,436,503,793,
096,285,343,749,289,710,948,146,990,261,052,297,468,412,004,224,068,597,017,
720,644,452,096,113,339,602,560,725,565,797,769,673,067,491,947,203,233,303,
145,240,397,399,361,078,762,249,183,972,649,211,670,285,567,491,279,329,236,
000,619,082,970,345,126,112,927,791,158,510,063,417,373,883,157,343,482,059,
281,366,205,149,950,956,818,504,497,477,984,847,938,767,635,563,248,164,002,
125,718,523,708,371,787,412,206,424,176,413,694,026,950,660,273,528,273,952,
115,570,623,894,652,412,039,529,882,489,511,189,706,756,926,517,195,201,272,
216,891,906,917,378,531,119,253,935,500,139,589,049,255,082,203,541,356,234,
321,784,175,324,609,682,095,530,745,807,107,278,718,889,877,804,557,637,293,
050,840,057,237,964,262,945,931,850,162,862,332,655,328,923,502,849,118,173,
172,007,255,177,515,797,659,037,885,911,637,949,888,039,016,210,929,109,238,
714,825,676,729,008,153,673,333,602,275,969,998,396,129,909,879,995,447,525,
197,289,834,170,815,511,409,183,145,373,286,318,115,181,622,790,654,955,884,
620,736,825,924,497,729,652,046,002,077,300,899,809,954,040,975,771,965,982,
608,729,193,407,233,717,895,114,492,238,415,042,333,146,185,672,383,701,965,
552,769,250,118,287,163,548,165,967,610,936,727,171,767,628,937,616,697,045,
946,411,197,705,746,920,059,096,825,416,868,871,945,089,136,861,350,517,223,
562,879,272,178,676,281,145,943,908,217,617,376,503,514,531,406,423,569,511,
793,970,810,062,281,087,638,671,413,424,746,541,207,156,275,078,426,577,833,
550,469,899,627,839,460,534,287,625,736,800,458,342,003,728,787,737,544,513,
260,042,440,743,214,156,945,267,478,554,678,138,898,765,007,631,875,029,138,
654,132,592,152,219,695,622,960,050,733,939,683,185,032,149,136,483,904,485,
201,400,095,500,451,358,801,751,258,934,885,433,640,344,164,930,877,423,387,
494,818,947,018,217,620,698,668,713,262,706,863,137,461,180,650,559,760,441,
813,160,019,807,978,277,259,021,795,806,445,937,859,542,000,853,171,274,236,
932,563,389,208,010,140,178,746,832,833,872,445,150,955,223,235,670,177,222,
679,563,968,547,979,059,135,686,059,100,715,750,664,874,319,488,280,128,404,
392,981,081,087,890,363,432,051,608,110,773,025,480,729,354,423,200,180,177,
735,818,811,662,666,634,931,452,648,003,732,476,013,526,745,145,300,869,175,
380,957,822,770,101,402,976,586,387,701,378,883,897,361,517,101,455,968,238,
639,731,666,264,561,273,985,653,546,921,273,172,935,081,570,139,439,901,155,
699,906,324,591,278,049,995,529,352,278,165,178,524,645,297,873,845,844,323,
951,933,003,090,552,144,984,200,340,250,115,546,833,159,844,004,650,080,343,
335,732,330,918,572,581,485,059,055,414,736,225,361,974,778,942,253,751,938,
021,856,663,040,454,392,343,366,095,328,685,977,145,155,854,528,760,380,817,
768,103,908,689,555,727,883,803,388,716,810,615,512,779,909,461,065,481,852,
432,818,189,171,749,230,978,597,765,787,083,967,550,011,488,250,521,342,581,
115,439,917,852,264,024,156,248,198,152,595,100,959,747,930,541,178,689,996,
131,533,486,612,298,762,129,457,828,946,773,904,252,482,788,435,592,949,973,
411,382,313,587,238,284,095,688,170,877,025,798,357,907,218,992,891,063,745,
701,474,207,559,305,850,025,203,794,513,407,730,345,540,125,290,896,768,965,
269,640,277,270,991,348,272,257,988,167,326,510,655,287,699,316,536,442,094,
412,854,684,692,359,141,875,667,265,692,132,118,575,123,162,447,274,817,415,
267,594,126,446,654,441,534,678,900,399,385,899,939,387,575,251,193,794,832,
309,556,115,418,346,981,043,929,359,464,639,543,017,299,444,678,677,522,223,
245,290,332,605,876,834,955,018,076,930,164,900,719,082,537,583,792,668,261,
122,868,619,365,515,488,929,733,761,768,694,588,101,002,580,833,888,229,176,
738,146,708,664,399,068,259,429,217,518,722,495,867,841,840,236,712,491,944,
500,775,198,037,044,905,916,682,307,559,792,732,622,110,471,785,406,819,110,
568,011,459,372,166,567,843,110,150,780,603,579,920,202,744,390,550,090,408,
641,771,684,354,884,152,673,254,666,130,856,259,052,503,054,119,724,887,477,
117,832,041,655,903,656,727,923,252,061,540,222,230,059,570,174,167,346,184,
231,511,516,778,206,416,260,146,350,537,440,822,318,935,294,231,827,275,191,
626,149,158,748,996,665,517,478,241,551,658,581,567,179,761,302,367,607,452,
829,354,362,383,407,500,010,764,207,088,930,870,410,398,806,848,764,261,982,
385,616,675,076,189,457,853,858,362,089,749,032,034,021,894,186,301,102,533,
220,410,069,367,884,157,390,303,893,511,092,500,122,914,733,119,679,185,036,
755,579,749,168,375,102,340,355,956,844,833,963,366,021,283,973,623,280,263,
848,479,631,555,089,786,453,172,017,845,858,154,176,571,603,316,998,907,546,
229,690,347,749,948,096,945,201,328,408,103,501,956,429,679,503,340,592,797,
357,561,291,624,312,981,771,846,092,575,453,706,205,246,173,960,799,789,546,
126,413,626,029,017,267,441,741,790,515,759,594,077,915,110,026,917,843,026,
221,770,884,668,584,143,952,341,853,194,642,682,676,013,887,857,374,209,405,
863,888,310,747,751,776,523,478,175,537,513,611,348,168,922,246,718,093,694,
012,993,089,990,867,870,923,361,704,204,980,198,419,666,684,767,862,807,506,
406,916,213,834,484,550,917,984,489,411,629,927,415,682,697,408,550,653,535,
428,315,934,637,132,380,420,753,343,949,962,914,383,152,554,224,931,604,987,
292,244,629,212,771,311,083,937,040,800,897,102,762,323,230,857,541,929,291,
803,939,707,460,483,620,474,640,834,302,816,981,939,174,653,168,831,451,642,
899,013,135,889,575,036,293,586,121,738,704,580,807,542,389,797,823,385,561,
497,130,838,550,002,833,284,355,628,617,213,380,096,633,114,055,533,274,792,
879,906,845,550,401,746,103,528,009,235,750,989,591,376,612,165,207,263,485,
755,877,501,620,242,091,819,146,883,560,386,170,841,486,199,013,361,633,683,
246,351,549,288,006,600,895,159,032,583,061,095,297,846,531,225,632,081,632,
459,560,882,826,539,969,299,975,499,994,285,454,803,346,161,156,547,522,484,
741,282,089,536,228,587,483,171,380,113,445,379,978,707,252,668,023,907,459,
818,323,185,958,436,471,504,040,335,382,850,639,808,033,143,440,826,757,333,
035,701,041,025,023,219,434,671,223,522,506,037,464,111,783,364,325,261,915,
416,374,011,560,812,558,546,159,831,424,941,722,925,184,320,091,576,002,707,
845,208,313,572,840,553,298,049,729,247,597,299,083,573,349,695,282,396,193,
079,558,070,817,756,816,796,028,234,954,670,218,840,331,400,771,558,827,669,
110,274,955,022,536,883,906,833,809,982,596,939,276,397,911,182,983,441,770,
523,985,120,582,278,592,234,832,165,045,556,179,298,454,432,845,901,120,095,
988,676,405,312,071,991,719,866,889,230,896,328,525,193,934,875,974,393,183,
923,474,452,447,652,078,051,364,455,544,886,654,551,463,568,823,182,012,447,
769,600,088,371,952,792,206,851,600,938,046,486,332,795,655,261,867,989,860,
365,719,334,797,050,200,533,122,839,287,338,065,854,044,620,169,720,683,715,
203,279,145,192,601,112,691,811,258,932,099,312,279,054,600,350,414,743,745,
623,204,836,757,968,352,353,684,138,415,886,605,042,972,514,270,752,360,879,
313,146,961,621,939,779,771,872,954,683,709,850,042,138,092,463,057,122,246,
775,395,825,077,472,722,159,491,033,752,790,497,981,798,027,070,450,732,789,
182,629,039,114,617,627,193,565,072,319,706,584,339,742,373,541,618,321,352,
419,468,556,599,664,902,974,082,466,568,639,019,962,285,475,029,536,356,930,
009,740,979,885,602,789,551,558,729,582,764,808,653,727,677,590,774,456,865,
225,122,929,094,373,774,796,164,564,799,046,061,760,273,255,625,583,105,176,
837,029,244,869,071,923,359,484,519,099,648,784,489,609,196,520,541,365,857,
180,629,901,164,752,751,757,816,237,958,111,205,444,206,079,363,349,639,591,
629,335,985,897,238,497,708,678,674,502,125,499,965,930,298,245,154,593,992,
638,526,331,490,433,419,715,542,946,577,277,358,695,124,254,295,100,388,599,
192,239,398,245,124,513,272,173,011,393,517,994,334,486,906,832,253,189,333,
660,039,564,890,054,816,523,652,192,328,999,820,694,279,695,935,326,716,492,
080,574,456,846,911,144,350,793,703,483,213,292,132,807,577,505,547,847,567,
560,149,014,243,062,694,340,962,792,221,712,125,259,513,939,166,470,080,830,
680,514,741,113,480,131,053,517,361,816,496,131,601,686,967,177,595,371,975,
499,795,239,327,294,255,812,605,958,904,485,411,891,656,282,523,999,018,516,
661,128,061,495,428,919,347,685,787,229,296,814,529,028,519,477,272,327,476,
021,593,501,399,109,290,160,941,451,779,536,188,432,095,409,638,220,230,829,
598,575,619,064,487,089,499,140,890,314,870,878,434,608,660,750,753,798,329,
557,765,421,809,759,222,139,330,132,554,782,366,643,586,638,008,067,574,730,
524,032,424,351,610,655,941,694,114,093,391,174,523,008,372,530,364,175,852,
875,856,360,848,976,680,340,791,127,351,119,723,524,191,911,959,577,827,777,
750,299,106,895,229,596,593,928,384,888,622,009,641,421,460,074,955,242,293,
578,878,205,425,802,962,777,969,169,475,977,827,012,400,699,907,054,233,072,
852,644,798,510,483,819,009,734,152,133,854,938,235,470,837,688,717,336,360,
864,039,350,121,502,457,112,015,503,706,649,385,455,745,837,735,408,904,325,
019,384,591,048,564,474,812,869,507,942,178,488,525,415,113,513,380,128,548,
315,853,047,106,895,917,529,948,414,171,543,998,184,136,136,041,008,468,516,
475,291,384,436,397,547,833,506,162,049,225,242,064,441,660,002,757,068,805,
167,306,713,125,381,354,850,326,537,019,131,388,102,852,452,808,864,335,917,
471,704,563,230,533,536,420,751,150,399,521,764,706,907,178,170,890,759,311,
357,011,273,542,488,454,958,139,000,061,384,905,227,170,101,004,669,668,552,
931,079,938,546,444,992,678,515,588,378,023,085,257,113,673,506,190,661,067,
700,706,562,114,401,616,291,574,917,303,833,831,413,641,272,047,741,751,418,
015,827,492,881,209,483,848,433,923,815,758,797,955,970,567,059,571,479,348,
379,690,756,839,681,637,265,657,285,560,288,152,647,311,300,643,009,207,350,
774,815,098,931,007,558,182,786,470,660,280,083,287,495,423,194,756,707,574,
164,362,526,927,490,777,440,029,637,432,206,167,025,030,792,298,945,054,500,
748,194,305,902,122,118,425,137,464,708,628,104,187,199,731,968,113,016,892,
412,359,153,641,093,548,682,103,699,631,944,225,745,550,418,788,281,271,960,
830,906,394,906,285,650,690,019,207,156,495,745,822,788,569,269,186,957,945,
380,042,916,396,882,538,925,810,194,591,690,142,649,414,223,202,617,559,820,
566,825,910,370,482,038,603,761,441,608,780,022,584,490,605,583,795,375,743,
160,134,008,966,402,180,123,790,133,566,732,886,185,775,402,405,087,293,001,
210,719,462,637,079,870,527,127,384,676,672,641,465,632,756,978,276,962,655,
507,269,585,452,056,233,831,432,465,950,609,981,123,295,511,664,647,438,530,
556,488,067,346,423,328,626,585,324,096,632,928,275,520,113,482,833,412,701,
439,848,751,898,498,115,662,388,441,043,936,763,874,134,098,934,760,285,252,
834,977,346,261,444,987,213,997,154,611,794,760,313,923,139,794,319,034,922,
654,181,522,429,759,898,306,645,580,929,781,593,967,058,849,746,416,047,538,
135,973,338,917,739,052,171,527,510,542,171,589,223,541,639,946,160,240,812,
919,741,088,647,098,079,847,399,357,943,333,677,641,550,385,606,987,329,965,
999,251,438,835,616,227,789,483,128,254,260,391,209,734,446,029,935,688,671,
717,089,340,585,147,907,637,147,141,679,645,946,326,385,165,315,694,603,819,
220,466,142,015,371,747,751,872,154,166,303,959,249,719,726,022,098,935,933,
094,009,613,536,958,562,388,242,223,911,329,699,111,605,284,945,812,380,327,
184,170,037,529,560,426,780,590,455,824,803,309,607,205,603,303,213,797,159,
871,936,699,912,364,597,627,389,215,342,612,943,406,085,842,211,400,967,967,
650,953,407,730,504,958,288,973,781,420,930,406,943,193,467,790,495,534,216,
913,249,445,358,689,988,151,965,852,210,677,672,056,438,419,209,724,166,339,
095,545,556,493,825,383,069,354,803,540,839,154,441,319,003,978,980,351,125,
387,817,809,786,520,632,874,659,411,865,979,893,192,381,149,718,821,808,364,
780,399,096,280,681,428,218,985,589,144,919,527,545,923,833,806,549,672,566,
830,836,343,766,645,717,236,840,320,781,843,502,112,443,823,583,005,954,546,
784,654,135,106,723,179,983,233,703,156,028,140,866,452,156,241,782,483,832,
518,922,656,866,141,588,721,615,957,534,811,404,746,192,187,355,373,365,119,
619,948,116,497,801,800,634,470,672,915,418,576,274,496,807,609,672,647,064,
701,587,669,233,596,060,714,654,112,370,390,622,647,920,667,754,206,248,488,
222,327,611,177,154,941,901,923,366,739,610,928,246,602,357,438,641,484,282,
272,252,436,033,404,349,836,950,282,445,485,878,268,606,205,266,931,266,365,
809,860,225,804,971,804,315,384,754,801,855,021,859,837,359,708,290,450,560,
503,456,546,881,929,275,702,204,610,767,732,520,512,482,567,748,680,808,545,
140,140,242,464,494,764,624,128,824,640,934,428,057,132,630,782,186,593,434,
626,776,683,573,749,019,983,994,545,566,939,931,748,670,068,918,275,758,274,
197,549,113,279,240,207,075,649,240,075,125,156,591,834,211,696,462,496,067,
736,755,927,152,055,873,481,915,410,496,071,531,944,993,516,062,813,802,547,
240,858,100,879,819,699,775,511,149,739,562,001,170,933,851,862,417,301,313,
505,247,158,183,904,687,382,880,182,519,061,636,311,299,449,282,750,411,742,
210,291,724,397,111,538,437,659,732,417,047,546,530,616,889,152,703,356,493,
318,735,908,961,441,662,753,324,785,508,720,831,108,260,467,363,130,074,487,
690,478,813,178,482,510,960,079,873,165,615,113,505,488,474,387,235,544,288,
351,466,428,883,893,270,500,684,437,179,529,172,075,714,994,073,205,095,802,
671,750,336,026,955,573,795,242,909,241,317,276,847,196,068,878,606,961,098,
927,226,664,188,181,071,549,407,531,723,380,899,799,393,145,645,039,709,114,
953,593,843,223,993,411,439,819,072,734,964,291,171,372,552,188,841,383,206,
667,526,854,437,594,976,888,642,104,552,379,524,378,333,716,017,141,514,039,
602,706,675,274,277,092,376,932,802,204,754,554,809,971,302,250,537,336,858,
192,388,378,729,307,013,164,274,958,241,337,802,980,573,026,591,165,722,733,
867,499,580,238,398,385,924,883,129,308,793,967,391,089,764,607,625,840,370,
144,537,939,028,291,550,688,328,565,741,069,192,281,438,191,586,604,649,840,
353,250,739,478,165,865,364,915,246,812,392,506,734,157,490,577,942,296,215,
961,833,212,882,124,286,478,377,397,724,455,585,545,331,042,884,249,551,550,
022,556,022,985,943,023,947,804,660,754,495,895,717,200,424,082,759,973,033,
408,574,588,251,156,365,252,962,961,631,122,714,877,537,167,936,275,096,648,
402,749,157,539,285,501,025,510,353,649,173,996,447,567,465,895,821,831,545,
359,750,059,150,850,336,885,942,859,318,730,277,389,046,097,127,220,852,926,
723,383,798,485,296,072,385,103,517,636,881,117,174,833,890,205,431,718,931,
608,884,733,523,248,612,188,134,644,340,196,726,882,143,543,449,317,849,642,
279,129,519,588,137,876,060,564,046,554,820,085,301,481,137,816,080,625,190,
492,426,473,501,036,409,603,000,010,086,824,511,236,971,145,240,178,356,203,
807,264,736,135,846,974,865,010,801,284,690,571,095,076,156,835,426,010,319,
400,517,737,523,384,228,983,701,582,133,740,944,346,630,833,376,815,559,349,
585,191,138,645,408,375,595,349,230,768,602,513,744,023,201,483,260,229,582,
035,504,026,500,581,366,436,203,821,681,203,343,370,253,323,611,246,109,720,
182,990,803,446,983,269,878,125,597,838,879,549,601,148,790,627,822,219,556,
205,511,544,400,620,001,039,900,705,654,308,367,802,666,293,751,807,982,250,
811,957,909,823,260,998,362,731,217,957,639,711,264,317,166,210,338,418,804,
937,868,269,235,410,676,643,613,380,222,871,414,354,352,815,160,141,478,486,
216,382,559,416,111,746,284,526,749,055,011,981,271,809,982,056,142,344,135,
861,603,920,002,341,211,082,518,301,918,216,548,377,684,187,697,895,530,583,
535,743,161,808,896,420,623,878,950,090,826,781,220,907,628,675,666,213,371,
087,881,054,347,995,515,273,550,186,613,108,585,611,895,662,326,911,372,366,
268,713,524,596,112,200,342,496,327,363,800,940,296,874,444,639,682,655,890,
302,601,841,435,377,465,912,514,032,546,510,716,815,925,519,391,604,286,906,
686,602,690,549,116,424,562,601,875,838,123,912,476,408,050,768,447,056,789,
088,055,365,971,565,057,500,636,921,263,594,835,344,899,569,580,512,002,330,
098,094,098,818,612,802,801,623,365,815,931,075,277,770,953,676,575,923,228,
305,452,104,259,741,599,466,412,096,873,026,012,891,795,478,775,290,403,348,
506,579,394,611,941,561,940,598,378,164,736,792,839,199,705,814,635,587,242,
016,388,297,222,715,946,306,301,819,663,846,609,017,737,728,818,704,039,539,
908,228,010,513,619,311,745,105,197,905,106,263,565,884,213,813,545,214,306,
570,177,057,294,143,426,591,903,593,127,925,068,460,989,696,850,442,358,627,
911,589,844,896,200,725,669,805,660,223,142,788,345,815,057,390,262,510,074,
365,429,205,715,986,405,722,357,722,306,958,616,757,299,129,000,399,309,666,
103,429,613,616,930,476,074,900,906,895,749,050,374,414,944,135,201,007,249,
841,661,614,191,105,957,661,992,033,974,789,385,236,304,902,269,089,576,910,
877,982,268,456,449,992,127,813,859,486,570,432,033,950,484,150,057,863,836,
510,031,615,581,395,703,111,900,215,512,517,650,357,666,762,698,800,020,452,
616,155,596,605,946,206,622,294,696,924,567,896,772,157,585,354,778,820,668,
031,975,328,196,780,648,044,273,465,059,361,267,029,951,594,021,871,969,779,
868,873,792,729,716,752,252,027,337,818,685,312,836,365,636,437,323,847,949,
385,489,750,108,463,955,218,408,839,380,538,444,942,414,927,249,874,782,770,
076,921,222,014,441,576,772,784,509,556,487,159,806,375,940,291,502,805,433,
673,003,758,312,420,883,482,247,080,868,313,885,767,203,212,657,583,485,648,
776,430,643,180,969,150,628,707,472,686,963,491,824,371,965,428,572,227,516,
028,626,617,121,602,017,637,741,338,092,819,094,965,979,046,900,210,842,615,
229,658,635,332,561,318,329,529,468,293,220,622,213,963,049,531,040,400,707,
978,587,224,987,184,776,618,144,409,653,500,470,775,458,218,069,541,866,723,
183,256,543,831,758,340,181,066,557,682,197,312,051,576,628,279,403,416,924,
892,873,148,752,773,247,416,035,465,454,647,052,335,632,145,905,086,101,792,
502,058,403,492,099,653,583,643,843,805,408,104,361,241,297,643,851,009,200,
875,419,136,934,004,589,374,653,613,565,849,859,439,118,202,389,148,409,642,
660,688,795,212,078,708,192,235,186,520,833,286,137,374,162,831,011,100,439,
975,594,413,503,840,254,328,995,900,187,885,169,832,756,409,468,467,541,558,
688,486,107,512,223,853,910,251,664,414,880,316,728,465,609,028,772,119,097,
915,675,090,976,342,466,231,163,878,195,460,471,044,440,638,446,058,903,219,
391,382,109,326,162,614,732,392,764,805,182,771,242,417,852,234,589,856,012,
695,167,868,645,754,336,605,501,909,837,874,071,572,559,416,083,537,827,447,
788,018,116,682,869,943,587,027,536,451,255,961,418,937,292,204,654,118,242,
091,484,715,723,253,910,965,829,385,098,537,391,820,648,053,762,180,146,160,
920,780,949,558,099,784,232,076,616,883,485,535,663,875,517,789,439,581,554,
919,527,258,780,101,101,326,516,501,675,499,717,922,068,463,300,870,988,887,
959,627,870,984,725,417,261,355,512,413,487,437,737,530,997,074,625,069,154,
003,742,413,831,105,767,437,760,322,669,069,742,583,849,858,164,115,318,167,
572,711,057,977,542,241,737,364,033,118,468,703,202,450,936,758,494,422,176,
083,983,894,595,959,022,116,833,545,248,856,676,420,660,735,521,777,279,670,
182,915,474,269,497,413,257,875,498,857,325,966,745,327,351,223,616,695,837,
483,270,320,319,638,709,343,311,442,787,340,252,827,268,517,363,275,288,733,
479,034,959,340,054,258,789,267,376,674,172,669,409,590,023,301,490,653,107,
872,453,026,619,118,672,228,825,188,274,798,313,819,959,658,505,094,669,629,
667,904,431,602,482,563,946,706,557,948,673,938,893,061,713,005,508,679,610,
573,549,312,208,639,631,245,266,262,827,096,640,449,053,513,157,584,369,656,
347,678,970,209,356,984,233,827,592,608,888,368,274,919,239,766,223,463,916,
737,720,885,413,546,408,266,079,840,435,501,964,407,534,124,107,389,284,839,
975,416,069,033,791,210,340,397,091,070,650,773,574,621,843,431,762,642,474,
349,682,522,859,255,000,189,882,792,740,784,006,810,993,532,343,373,531,890,
908,829,839,172,481,454,377,580,882,535,953,807,775,159,436,057,967,602,363,
019,879,169,241,382,649,757,076,136,154,952,778,967,825,358,315,697,609,389,
985,038,330,724,073,634,948,019,785,895,000,134,413,551,977,148,377,081,358,
077,129,483,385,389,457,770,712,163,343,800,083,480,445,230,692,109,309,695,
838,988,919,022,576,557,975,142,278,983,467,129,967,551,663,540,495,167,953,
420,151,694,596,311,103,836,519,107,491,541,187,264,482,070,728,487,097,282,
444,222,656,585,353,704,143,621,815,185,182,608,399,961,278,750,202,340,886,
117,404,520,034,142,423,028,534,714,917,343,762,584,977,381,325,154,381,895,
932,160,919,388,410,603,038,160,668,048,080,770,020,525,496,390,050,536,683,
035,587,110,963,524,606,592,208,813,233,393,938,902,493,999,137,179,502,825,
016,382,011,804,763,908,425,192,621,022,306,554,577,750,774,766,663,275,237,
091,837,827,880,156,936,964,105,847,016,757,249,271,065,585,988,206,521,169,
272,252,961,329,273,871,788,065,615,283,478,877,573,391,364,191,398,599,456,
982,369,271,872,291,585,358,360,409,637,046,796,308,012,485,695,422,461,215,
079,222,742,801,450,223,156,720,159,580,733,219,207,526,879,049,782,919,928,
869,900,115,392,758,193,241,084,760,764,675,407,134,375,014,076,821,389,139,
134,819,446,479,705,218,895,512,290,722,016,052,513,552,162,930,024,222,828,
414,749,754,680,524,771,840,020,291,909,367,349,506,789,500,131,302,261,221,
163,982,856,830,338,574,306,297,997,361,602,856,645,909,527,954,369,930,741,
697,541,853,613,298,400,061,056,720,160,031,537,755,287,598,637,257,833,879,
113,925,424,836,394,981,636,961,074,924,445,093,065,003,455,186,425,155,034,
677,886,776,262,062,724,141,279,564,652,230,391,434,061,876,277,165,431,118,
840,178,464,753,170,109,076,963,421,117,968,477,615,443,072,452,743,420,691,
919,340,299,559,571,322,509,717,695,328,316,349,574,045,208,091,781,553,462,
019,835,282,168,967,206,358,910,423,945,409,617,765,588,489,182,876,661,868,
376,260,126,452,782,271,152,031,565,083,773,705,321,038,207,606,600,841,895,
653,277,236,317,979,892,635,362,928,598,609,191,436,461,433,555,086,354,919,
273,499,984,212,803,567,172,182,048,699,464,143,851,750,205,214,229,342,407,
129,185,030,427,688,385,803,709,599,695,396,454,159,419,472,795,790,073,468,
716,822,916,945,522,387,017,797,728,442,663,438,247,963,457,690,078,346,279,
024,937,088,318,763,495,211,739,037,628,388,768,561,242,904,386,004,894,240,
647,750,479,730,366,566,953,219,684,087,605,843,255,871,658,418,715,370,319,
008,554,352,700,166,825,434,900,277,416,420,462,130,549,531,085,813,166,878,
479,734,543,650,618,798,983,700,258,799,749,493,068,931,227,604,763,502,026,
129,833,230,658,831,523,118,023,357,885,253,722,297,440,053,296,974,758,402,
093,435,569,302,074,588,598,902,562,043,958,081,478,757,056,395,104,847,194,
634,293,360,171,396,341,325,490,251,834,044,386,827,100,953,398,190,759,033,
083,035,096,929,340,603,725,090,788,115,466,388,969,184,451,831,748,855,533,
309,087,432,894,864,125,210,753,471,636,065,962,896,086,422,439,578,690,884,
901,725,833,041,293,540,061,456,461,030,916,021,224,026,677,146,419,910,619,
421,948,572,010,024,765,473,210,938,131,144,827,337,587,184,949,829,085,741,
988,053,874,922,207,914,743,542,901,281,477,338,770,891,138,891,944,660,390,
992,010,093,199,680,952,721,111,950,914,678,600,536,337,613,995,640,911,102,
589,227,773,917,404,354,872,653,453,157,241,783,765,227,346,008,894,150,789,
000,034,753,375,875,828,451,651,281,011,449,470,825,350,817,162,053,324,118,
369,430,327,254,308,077,218,959,900,065,794,954,526,281,301,417,981,063,509,
373,799,097,725,777,333,004,956,369,250,255,362,170,206,284,183,691,842,336,
778,874,320,685,724,694,623,496,546,536,178,721,473,910,596,020,102,820,243,
580,221,786,726,121,338,992,225,923,235,603,318,969,293,458,892,147,376,701,
550,355,249,091,305,048,879,727,228,137,509,490,686,327,842,325,664,113,618,
304,191,418,231,143,478,235,540,394,366,469,386,337,928,291,036,999,698,482,
894,809,547,330,290,322,696,711,100,321,857,724,558,434,793,581,904,489,850,
655,202,566,189,345,351,852,496,868,311,358,150,650,486,830,587,518,059,043,
122,896,710,144,194,916,039,176,314,871,740,658,505,847,993,954,597,099,318,
464,086,778,579,847,334,597,837,197,784,418,829,412,782,877,309,631,912,317,
385,186,549,343,735,840,939,729,770,621,934,156,037,238,288,544,610,028,045,
954,644,171,597,333,526,079,260,124,326,298,982,836,784,707,594,839,744,318,
258,590,041,795,131,356,721,173,219,692,930,999,554,736,564,437,575,355,019,
365,522,938,629,420,559,248,144,314,138,306,089,464,293,616,158,305,906,142,
295,774,370,885,223,660,925,149,769,213,682,598,605,875,784,411,586,418,730,
008,748,108,482,968,362,677,165,881,121,479,579,732,491,212,686,328,818,393,
275,996,390,965,477,637,250,244,972,230,210,310,682,231,316,982,067,855,470,
318,551,080,585,112,054,344,122,771,540,342,672,846,102,000,080,949,574,605,
004,974,589,402,638,594,501,430,114,583,362,062,530,072,338,351,678,639,433,
652,916,815,686,387,010,074,554,403,094,023,787,011,278,147,947,434,704,609,
182,201,272,172,708,481,698,462,460,015,362,848,883,421,726,187,184,787,582,
346,141,823,734,027,096,534,975,012,647,723,601,778,839,527,872,824,445,802,
332,518,437,058,107,466,303,915,224,018,464,613,861,268,054,478,806,353,142,
083,320,755,055,880,484,135,388,635,011,638,387,598,620,127,013,400,867,153,
587,649,366,723,212,128,176,292,501,413,884,754,702,298,132,576,510,448,052,
134,463,527,036,860,380,037,128,108,302,898,595,491,856,686,412,197,515,025,
699,934,586,888,656,312,033,730,284,420,341,990,627,058,659,132,642,769,685,
524,384,071,234,468,853,296,045,844,433,210,251,791,926,199,639,383,060,372,
149,626,236,014,366,127,414,759,099,184,807,633,110,966,522,375,168,069,631,
073,310,760,300,602,615,133,566,303,225,065,794,089,956,489,161,479,070,513,
731,066,670,295,050,375,628,020,929,677,868,258,167,782,153,910,432,542,848,
328,628,692,003,574,215,645,839,596,907,176,301,511,694,102,228,166,042,044,
317,151,275,557,453,100,946,673,689,586,749,054,864,128,238,601,678,047,850,
386,022,741,097,055,309,145,534,742,139,639,021,001,896,072,112,056,283,255,
241,385,033,400,243,580,397,308,075,258,564,589,442,856,494,252,961,143,941,
186,594,984,425,829,886,646,006,693,827,906,044,894,175,323,015,061,908,916,
044,909,486,405,962,196,045,663,116,207,373,092,785,203,736,926,677,645,482,
569,153,372,981,192,915,147,586,667,535,225,242,213,671,852,792,413,849,316,
274,675,419,043,649,515,201,305,019,794,872,636,056,164,184,543,177,616,936,
573,833,283,213,575,594,722,588,341,974,145,830,018,314,346,212,760,649,445,
298,786,878,065,176,794,285,180,486,102,150,137,056,632,035,719,132,710,324,
649,063,880,625,321,519,135,880,032,172,105,794,709,861,441,239,037,127,559,
276,023,168,483,575,052,144,699,497,971,176,453,691,767,740,186,377,777,463,
159,995,013,856,065,698,932,697,299,207,949,834,392,066,326,580,308,963,776,
016,084,695,550,851,232,315,962,808,202,340,491,893,565,491,776,376,560,478,
139,652,450,174,535,502,980,967,522,406,668,353,035,679,218,166,028,622,773,
787,352,165,925,362,230,299,327,927,029,321,551,479,306,978,137,887,102,454,
148,303,788,165,366,675,145,261,372,181,187,807,612,419,149,850,728,983,306,
064,247,305,789,194,266,314,440,926,053,642,377,857,278,722,078,692,104,850,
655,328,880,857,853,341,965,513,960,088,288,245,465,672,550,953,785,162,804,
219,658,596,020,984,014,605,160,362,845,934,370,268,709,772,002,901,245,368,
215,570,471,773,709,104,439,300,462,388,087,140,223,558,586,005,149,000,135,
380,380,959,405,925,036,784,280,372,347,546,687,992,722,129,396,767,389,424,
017,441,092,719,259,807,225,604,609,874,460,861,408,792,867,464,663,424,092,
577,606,895,874,717,561,272,809,521,612,230,626,374,530,876,648,690,860,031,
190,610,156,611,773,809,519,039,664,858,154,536,124,143,107,697,037,143,456,
245,019,527,560,189,859,617,194,379,985,163,953,684,397,913,708,468,745,599,
925,400,332,737,779,795,676,131,806,054,024,157,941,316,334,458,257,220,717,
082,660,932,017,231,333,802,240,574,763,850,450,086,643,584,776,444,727,800,
379,459,855,928,407,782,899,484,940,083,027,563,727,317,707,037,182,085,465,
906,797,437,302,290,752,377,434,903,190,476,393,167,268,471,201,309,778,467,
693,107,383,043,840,566,445,491,169,072,291,511,991,036,731,164,507,274,691,
151,947,166,293,171,984,279,012,076,826,555,086,751,403,062,092,154,493,916,
088,056,104,151,244,625,165,140,920,926,420,728,482,145,524,604,158,472,866,
729,272,973,980,509,958,420,023,580,025,654,847,908,611,889,163,163,364,494,
653,327,378,710,208,796,119,859,514,391,484,740,041,722,511,215,906,123,296,
490,639,947,573,189,387,097,173,513,120,540,494,911,403,214,628,756,928,968,
993,311,711,605,366,669,059,242,732,950,564,060,307,463,249,923,313,120,119,
365,433,425,070,995,060,835,164,478,805,767,738,020,644,083,958,964,703,329,
997,142,560,685,174,688,364,927,745,616,887,506,821,917,576,934,060,295,447,
124,474,094,232,320,138,918,209,337,153,921,050,539,419,240,755,831,227,236,
848,693,900,611,823,544,007,441,036,489,814,989,809,763,710,311,431,699,388,
344,286,436,762,519,771,338,221,756,140,455,598,240,743,333,310,434,016,460,
429,882,425,450,645,717,174,994,496,441,498,900,882,522,478,964,208,572,014,
272,938,829,211,880,210,169,633,782,491,377,429,481,611,717,614,851,606,751,
519,262,904,679,238,696,691,377,536,394,757,800,207,269,879,200,398,135,291,
415,215,399,277,971,679,946,900,528,256,222,368,052,218,327,037,252,444,600,
644,980,232,880,361,471,326,712,350,215,236,785,656,819,522,577,524,545,603,
527,743,075,646,666,373,783,490,205,071,709,540,720,683,009,596,437,700,231,
037,490,319,781,955,799,199,588,365,313,380,974,063,910,714,670,399,810,712,
590,283,053,016,128,158,341,512,455,696,846,813,165,354,492,013,172,589,368,
228,497,085,046,944,074,050,902,940,730,437,483,230,392,549,252,592,661,036,
203,683,869,726,143,161,056,367,104,517,095,734,275,422,715,605,322,772,043,
185,849,712,780,404,248,960,272,659,595,351,898,005,798,720,841,139,277,617,
514,939,161,710,597,541,797,921,363,187,371,359,006,783,696,572,401,057,275,
280,840,485,370,664,138,465,178,089,904,425,549,520,384,223,360,816,138,397,
435,101,621,789,411,573,597,555,319,891,469,024,834,535,951,924,923,544,895,
174,712,627,478,309,419,486,879,491,336,190,362,027,460,484,629,057,247,266,
692,753,556,251,285,227,369,627,618,076,604,456,671,224,179,306,391,135,354,
273,293,918,733,723,254,648,336,099,628,225,479,350,049,624,795,029,521,295,
296,665,028,624,488,791,791,209,191,873,793,280,201,468,927,651,512,446,024,
718,928,391,761,750,649,331,309,633,631,892,120,195,639,600,283,594,311,763,
588,675,637,505,516,814,635,815,706,341,815,585,353,541,500,163,846,529,125,
537,772,063,408,316,667,597,724,039,474,392,783,741,562,589,707,586,233,025,
795,978,423,336,247,736,016,113,939,028,121,912,080,192,277,904,690,823,345,
589,527,461,960,420,064,018,122,055,848,158,320,542,346,118,906,143,252,224,
408,781,435,065,525,759,926,882,118,380,906,182,705,654,830,908,273,642,501,
024,390,124,807,257,647,667,163,254,226,129,836,962,514,762,210,419,962,711,
002,240,558,531,240,815,000,232,884,216,291,573,930,463,916,765,933,250,597,
156,567,890,435,698,609,518,236,843,098,638,586,839,979,816,684,443,359,172,
342,554,340,065,273,453,749,702,523,749,812,764,159,848,449,174,027,257,733,
991,420,155,005,131,207,402,745,191,947,065,931,579,474,891,821,873,748,844,
649,281,512,931,012,767,809,052,108,788,875,052,975,677,739,777,101,049,318,
720,849,649,508,426,029,697,225,128,819,505,310,555,683,646,768,039,552,415,
624,532,698,679,818,471,391,832,572,497,668,817,324,854,643,235,702,372,150,
132,358,379,651,339,775,903,812,568,422,801,895,956,691,630,991,433,586,242,
440,917,740,517,396,599,681,939,208,372,844,795,114,472,901,064,755,893,807,
618,169,162,641,729,203,625,994,884,517,458,836,112,242,298,362,481,711,206,
219,890,311,155,734,290,159,236,310,460,680,811,891,156,001,540,600,564,963,
606,331,186,412,323,449,357,139,394,449,729,684,229,723,639,022,398,262,116,
327,180,490,641,868,694,184,421,390,829,038,960,272,710,448,185,228,187,125,
149,632,545,479,522,802,389,124,809,243,656,475,876,358,887,547,046,089,713,
808,335,494,487,199,052,695,204,951,285,427,137,045,389,893,752,337,252,408,
683,915,525,399,907,862,906,971,826,751,588,157,294,522,148,284,623,905,738,
394,005,385,397,331,990,884,410,624,052,919,862,998,391,450,537,100,518,417,
475,059,059,647,340,807,835,195,305,309,395,248,290,904,457,316,677,090,538,
124,478,598,936,525,029,092,931,727,165,163,354,367,439,393,967,976,798,232,
368,380,905,825,452,541,890,589,597,977,284,655,100,996,553,585,089,800,560,
360,223,291,854,150,592,769,258,718,757,819,480,304,007,411,712,483,689,264,
474,118,198,377,353,190,925,317,903,510,198,609,320,059,879,978,337,141,407,
837,421,862,138,028,129,278,355,596,337,872,009,658,816,201,323,708,656,185,
326,446,517,444,119,138,580,707,388,996,980,828,488,309,835,507,698,525,784,
694,013,656,943,427,554,206,853,354,049,419,802,029,170,705,548,645,621,940,
363,383,994,559,222,109,737,040,931,325,255,444,840,255,657,009,745,962,723,
593,872,697,677,861,702,270,234,811,970,558,193,578,215,805,941,990,370,762,
298,270,863,548,123,494,777,938,816,954,330,729,738,125,324,678,295,536,670,
301,834,346,682,278,754,419,674,183,251,785,577,894,740,900,642,566,867,780,
524,334,408,430,503,920,215,864,410,389,772,346,265,413,921,640,197,386,269,
011,947,948,012,330,436,220,492,617,909,216,696,242,388,419,135,938,787,015,
338,414,480,758,223,472,291,749,243,993,979,576,769,621,733,820,849,294,526,
753,407,943,511,990,015,960,956,192,540,329,725,429,256,771,952,769,159,572,
622,404,173,007,839,521,529,478,641,628,957,379,248,463,522,339,557,101,297,
892,239,862,575,546,728,294,259,178,225,050,804,924,030,877,399,790,019,616,
396,777,426,945,703,105,854,441,554,086,270,167,947,568,405,087,559,666,307,
862,209,241,113,311,867,916,447,492,293,621,933,859,913,519,217,512,282,645,
666,828,034,034,007,474,523,911,766,804,432,579,257,743,709,641,450,102,149,
319,211,100,577,434,400,178,023,687,747,288,346,745,689,521,746,730,763,504,
647,292,046,098,480,203,974,148,800,139,719,063,001,730,990,373,105,300,996,
579,035,814,081,507,435,375,607,020,629,117,084,860,090,077,988,014,205,391,
042,150,183,373,340,916,674,968,895,453,597,325,427,485,197,929,998,079,209,
074,853,176,386,335,615,418,624,876,360,409,077,504,310,149,010,667,294,425,
727,977,502,931,855,278,694,308,701,810,340,950,612,459,668,144,778,900,080,
570,020,160,310,888,171,004,323,303,761,678,918,966,435,109,002,160,633,880,
062,084,075,124,892,973,283,199,943,667,328,923,644,728,720,846,181,503,212,
073,658,948,189,609,848,682,209,271,854,064,304,630,598,883,282,860,815,700,
299,423,504,825,820,834,633,848,730,066,021,408,769,647,606,928,403,397,906,
642,125,574,406,965,648,117,451,747,819,936,463,557,885,334,370,695,682,403,
205,351,748,806,995,560,467,830,586,785,098,851,367,827,646,616,736,426,113,
833,974,208,616,576,522,653,182,343,648,773,321,016,975,455,645,647,547,444,
386,093,735,646,220,378,406,243,203,251,381,292,831,351,687,897,679,769,381,
611,064,865,927,546,184,874,396,615,380,118,436,600,329,258,799,009,072,057,
545,203,476,077,209,737,790,722,769,793,409,540,341,053,671,791,515,448,237,
649,060,294,488,632,616,750,121,237,869,661,242,456,338,633,085,825,299,903,
522,235,309,539,500,833,588,278,454,787,101,838,317,382,017,590,859,414,079,
461,184,025,779,306,510,582,758,974,735,076,459,260,431,463,695,452,440,969,
648,892,338,022,087,309,507,827,662,623,884,914,557,657,063,472,431,678,962,
811,454,478,286,001,605,166,383,601,662,589,491,188,467,937,848,531,804,822,
921,847,301,609,384,818,652,865,110,936,502,294,329,052,335,721,728,020,221,
691,377,625,629,515,381,831,982,843,138,583,239,716,173,426,766,777,499,215,
199,652,783,806,630,820,286,061,671,233,436,906,495,866,850,841,464,877,529,
947,356,995,659,646,252,463,347,649,108,351,815,117,059,516,123,468,816,861,
646,902,061,206,511,981,841,874,931,566,008,373,849,075,318,105,603,676,064,
345,965,654,470,861,272,924,756,553,776,620,691,583,348,580,423,280,469,686,
606,728,026,048,191,809,323,462,904,886,012,536,197,821,122,591,674,756,340,
592,911,541,471,067,526,708,270,434,009,223,789,561,260,892,972,289,956,718,
382,510,838,770,883,711,950,044,691,230,652,139,539,409,836,431,866,492,170,
685,486,796,982,724,588,709,429,914,424,809,297,117,397,075,971,937,312,887,
646,499,274,530,367,176,960,443,234,706,112,902,499,027,173,488,293,376,421,
785,967,764,025,244,059,806,045,308,829,883,080,682,818,698,940,880,064,136,
900,921,954,953,355,631,077,763,990,319,549,784,908,611,364,070,519,911,824,
292,801,022,723,207,792,775,300,898,532,469,371,091,564,817,113,972,796,592,
786,059,578,061,927,815,981,940,773,018,527,566,317,893,414,342,170,031,031,
676,828,451,186,339,996,684,563,348,928,198,664,664,784,448,124,307,056,334,
785,857,337,798,320,744,792,323,585,756,612,717,451,290,816,355,958,847,776,
461,357,264,665,934,916,773,591,567,059,069,509,860,237,174,880,729,884,751,
217,129,794,239,930,734,241,533,700,115,968,009,367,999,601,824,521,293,297,
933,622,814,798,648,048,049,649,439,284,371,222,027,200,834,692,634,218,971,
424,301,102,422,096,473,903,483,105,117,419,500,297,531,204,773,471,611,406,
559,604,845,566,014,212,222,257,106,518,358,159,300,495,410,478,042,058,903,
074,112,042,779,330,738,390,625,462,501,670,498,841,018,260,610,833,425,531,
261,503,303,407,764,278,486,558,065,795,053,938,150,719,239,156,104,504,882,
175,513,201,682,725,254,495,927,018,773,749,231,792,575,591,525,620,311,468,
590,484,548,739,714,755,829,115,162,766,124,588,928,414,167,673,393,838,273,
751,452,808,161,234,436,456,910,064,334,842,184,733,910,907,129,413,030,881,
095,543,538,338,183,125,337,362,849,664,408,923,794,770,334,567,176,646,357,
117,939,091,232,075,025,986,295,113,731,145,651,548,309,604,080,864,497,657,
119,740,436,860,337,364,808,567,921,794,460,054,009,331,059,220,204,048,472,
356,060,025,179,022,850,537,128,847,089,820,032,101,285,884,443,065,312,618,
256,293,867,421,892,955,139,042,288,082,713,909,501,229,805,654,365,940,854,
788,799,050,718,109,103,980,288,960,998,582,480,387,803,514,200,493,757,758,
977,067,550,077,959,317,763,456,324,102,539,031,582,234,960,496,264,098,330,
668,631,836,400,611,367,032,192,746,982,797,657,761,013,647,755,764,675,312,
016,676,961,260,185,403,176,917,375,925,431,650,067,608,803,561,963,032,394,
084,407,702,532,275,214,312,431,194,121,287,785,672,613,591,978,816,963,182,
194,659,507,789,490,831,917,507,374,500,432,149,282,815,127,629,668,385,539,
670,044,093,112,775,658,920,344,928,654,400,816,794,797,711,480,863,953,053,
777,494,145,695,363,899,277,889,632,691,427,076,391,349,001,249,698,582,251,
001,577,618,083,342,951,238,408,129,158,743,377,686,082,016,119,658,300,891,
632,424,021,029,961,859,491,744,417,359,152,948,024,256,131,147,581,319,625,
564,004,745,619,273,105,541,683,142,422,748,258,728,962,629,468,469,047,181,
046,966,135,398,907,220,616,067,172,994,735,241,419,057,826,742,126,279,364,
346,031,378,423,646,468,478,320,193,439,654,935,294,174,463,145,045,906,180,
182,793,185,289,760,232,490,738,898,465,276,203,077,858,831,509,057,230,881,
523,646,025,130,594,756,991,814,824,117,765,770,919,440,835,218,186,898,245,
149,811,493,791,671,078,099,479,094,134,370,542,316,339,078,613,127,467,899,
628,982,225,998,547,988,468,038,313,572,726,628,145,558,061,530,909,169,284,
323,315,630,982,976,352,610,754,127,725,966,515,052,651,615,123,598,345,993,
445,740,086,578,156,863,279,116,513,465,215,333,549,308,716,530,185,758,648,
682,986,515,787,406,119,862,247,095,627,812,003,492,519,910,786,212,991,598,
106,425,580,413,042,839,597,425,767,335,027,305,266,827,322,126,609,978,006,
807,660,349,840,250,316,566,156,569,166,198,333,993,939,739,065,133,842,834,
505,220,174,280,665,481,030,903,098,955,260,463,808,530,651,666,061,227,445,
043,231,564,831,846,866,441,321,259,931,260,502,882,413,190,916,493,759,763,
975,989,205,935,532,940,417,737,644,360,338,443,554,736,015,396,770,958,830,
323,703,379,990,794,588,005,456,665,384,307,715,973,751,302,347,347,567,031,
736,379,378,744,232,948,531,238,684,565,721,515,059,744,208,926,061,546,132,
921,527,031,059,621,604,355,233,792,271,488,018,544,280,554,579,609,860,558,
352,069,389,389,203,685,472,708,225,815,256,693,259,709,093,945,783,070,851,
196,464,654,689,327,978,700,236,312,356,495,698,097,431,993,470,921,225,481,
295,235,584,368,250,868,840,972,882,135,197,744,228,192,027,592,437,151,284,
386,371,963,514,777,244,086,744,110,153,007,133,755,565,404,368,533,288,331,
610,963,760,014,118,904,386,507,772,494,530,505,158,060,037,836,254,923,146,
283,945,219,379,442,296,575,343,057,255,439,879,578,472,424,086,025,523,054,
577,294,419,144,661,418,390,272,474,318,880,520,220,089,083,759,233,669,663,
823,533,226,530,491,529,725,167,335,140,014,010,797,848,107,915,795,788,131,
232,626,156,072,649,248,945,051,889,716,344,738,147,509,784,466,759,684,556,
801,360,648,494,739,355,700,089,745,420,297,089,189,453,115,576,155,268,676,
007,574,321,945,881,905,688,775,000,618,140,322,725,236,656,595,088,465,309,
467,710,476,410,870,666,221,669,321,712,704,076,446,438,247,662,272,899,664,
744,390,523,430,924,506,391,945,228,349,656,248,404,503,523,574,224,922,634,
747,453,783,164,600,480,058,206,562,811,313,630,012,758,857,136,846,916,939,
752,574,453,717,693,812,764,487,746,730,461,538,959,475,810,651,971,111,746,
342,479,708,054,540,275,938,586,633,778,650,276,819,184,523,015,313,744,307,
253,168,142,299,341,543,262,042,735,046,630,955,840,738,193,960,493,271,724,
005,581,084,226,923,756,911,992,930,924,799,088,314,226,573,583,275,196,686,
710,031,199,030,744,545,006,831,460,969,474,811,776,226,347,487,256,034,431,
690,225,902,016,972,282,303,299,300,308,452,373,732,213,912,240,008,397,980,
269,978,438,136,453,487,343,665,005,098,012,528,519,681,247,690,823,746,036,
535,593,154,550,572,888,825,895,745,277,149,297,804,690,596,267,571,911,701,
540,096,835,997,540,933,969,779,497,267,527,682,148,580,075,471,180,747,839,
790,803,075,569,056,841,590,981,411,509,320,101,578,216,626,299,020,282,133,
992,297,595,962,986,211,862,058,419,040,010,542,239,736,813,862,084,593,639,
553,469,384,930,312,053,631,933,344,172,631,742,828,752,053,362,489,449,665,
691,503,684,363,008,308,853,732,739,784,486,414,115,987,896,273,954,590,765,
738,257,143,150,600,680,932,181,845,370,717,593,364,537,021,591,864,603,190,
755,163,376,076,831,008,712,536,882,220,603,220,295,387,564,894,616,551,637,
012,168,450,319,127,954,114,302,963,585,416,115,250,121,855,406,260,048,387,
200,083,049,224,635,560,672,301,308,760,421,505,453,394,533,356,541,748,908,
385,802,918,040,727,451,978,633,217,984,660,310,608,818,330,541,163,312,641,
190,613,675,211,658,468,697,627,593,567,680,609,514,386,518,486,525,658,423,
767,469,081,887,104,649,691,633,136,911,915,360,717,640,330,723,915,239,464,
018,295,356,515,146,927,620,230,143,920,621,844,125,907,685,846,385,442,338,
621,333,445,400,804,087,636,358,915,822,514,924,884,091,406,686,808,525,124,
737,500,814,921,247,901,620,943,532,927,623,905,967,859,038,601,983,203,378,
957,459,624,341,643,673,500,906,206,182,764,116,887,519,856,521,818,455,166,
481,046,909,842,922,772,804,328,439,809,448,527,985,367,450,295,751,832,664,
866,983,022,580,481,973,691,822,621,486,497,581,987,676,595,843,926,653,033,
959,553,607,928,547,224,860,284,428,359,826,987,942,152,151,802,521,736,872,
127,005,765,445,835,859,445,165,746,324,965,716,620,002,091,103,027,496,028,
469,474,760,545,280,465,045,182,059,495,825,875,673,383,372,595,653,550,052,
959,282,460,697,489,028,036,865,802,838,890,941,628,935,446,805,468,134,087,
045,545,259,125,632,168,581,971,241,004,893,768,386,899,139,564,578,173,832,
079,434,290,789,165,708,257,569,459,445,346,720,935,784,564,848,532,133,222,
798,515,020,652,279,431,732,457,002,959,335,522,698,862,557,094,781,943,253,
592,549,463,778,692,854,176,156,438,036,051,289,092,141,660,229,479,274,962,
573,140,727,943,827,314,515,857,001,622,351,394,211,606,750,278,449,224,516,
393,405,593,692,325,001,203,838,029,624,231,945,809,243,860,820,708,497,777,
681,658,884,703,664,473,350,571,357,018,792,355,877,748,799,253,073,905,585,
088,058,586,597,405,567,046,995,018,039,252,196,942,217,119,241,674,448,725,
859,724,881,896,644,086,803,443,096,270,769,948,201,638,851,871,627,540,067,
130,116,174,967,076,491,818,336,655,440,248,743,385,933,463,194,891,952,252,
245,377,143,391,517,394,741,905,739,849,329,812,015,616,029,814,204,464,237,
950,284,497,787,454,738,899,066,821,231,972,901,009,919,151,474,678,819,160,
031,166,062,354,647,066,171,982,401,084,548,366,945,729,500,211,933,894,274,
763,166,897,584,045,075,176,519,145,162,232,277,654,692,074,461,307,306,935,
667,582,899,228,163,879,684,250,044,809,213,270,897,685,937,624,067,850,594,
062,954,556,398,654,797,777,632,450,593,018,020,251,257,577,165,991,927,381,
468,964,919,259,649,769,323,781,505,045,717,040,754,327,113,125,569,370,783,
302,034,237,522,814,045,592,999,765,319,330,740,802,166,672,466,712,718,405,
537,979,024,064,394,249,159,736,023,634,786,109,063,894,855,905,182,727,730,
851,189,938,987,477,877,202,832,002,447,940,732,940,718,063,060,916,252,795,
061,411,518,720,251,896,928,555,650,392,041,280,107,672,674,518,450,341,264,
179,403,675,655,442,903,971,067,548,841,847,159,917,857,133,158,972,351,820,
319,021,493,688,181,210,848,473,171,379,421,805,400,914,628,627,012,198,082,
616,010,155,164,225,626,850,515,956,366,742,056,110,393,330,836,572,107,034,
785,792,650,220,234,237,797,390,166,833,824,902,886,438,548,732,956,337,503,
803,253,923,918,978,458,083,109,434,801,869,161,769,887,688,866,523,867,655,
682,633,991,714,139,139,643,862,659,828,333,895,249,221,645,417,154,450,631,
674,943,038,177,733,619,828,572,465,608,218,820,815,957,151,293,947,137,228,
776,797,039,801,300,045,231,136,449,132,164,033,349,804,487,339,718,511,710,
464,018,247,289,153,526,425,055,405,519,057,047,435,646,608,145,541,526,561,
861,634,095,242,183,682,887,896,280,950,352,638,573,209,575,398,276,150,444,
656,370,598,713,096,772,428,085,922,405,184,145,984,659,049,239,566,087,546,
232,318,563,185,791,784,042,302,227,385,013,239,478,589,131,947,404,184,728,
537,711,488,378,595,474,249,320,669,483,244,989,870,484,318,927,899,575,615,
982,894,696,035,607,043,099,668,165,893,044,190,785,214,515,203,785,904,401,
774,123,433,417,479,449,523,256,096,389,297,817,087,464,207,820,753,580,697,
592,127,283,605,984,326,224,614,375,713,513,350,252,822,134,312,890,507,625,
838,875,950,837,384,259,705,543,654,516,492,934,232,163,950,315,581,421,484,
062,409,289,445,765,907,830,491,452,427,664,806,811,418,182,732,104,124,103,
096,886,899,758,939,595,298,964,692,910,727,450,796,636,910,524,550,806,673,
639,786,458,670,842,539,516,655,587,434,411,553,620,884,658,631,900,291,342,
865,853,739,225,954,894,099,841,215,832,536,039,127,265,731,027,572,268,993,
292,061,788,716,924,414,306,950,244,431,987,614,327,038,038,388,447,928,933,
121,597,990,122,834,723,512,254,385,636,854,794,687,051,873,122,290,090,407,
082,616,133,018,096,480,295,363,135,233,555,037,059,746,723,715,676,936,437,
511,936,973,023,640,491,978,614,804,777,415,901,540,181,994,020,331,375,854,
542,724,797,963,036,915,791,960,993,440,473,323,781,795,939,616,834,113,003,
564,534,425,471,502,369,795,605,711,741,220,484,961,589,660,685,984,595,629,
454,360,253,573,706,787,272,258,071,703,216,928,713,977,454,428,070,596,188,
146,314,176,084,563,653,404,775,071,502,409,817,775,093,360,071,884,634,696,
409,605,233,109,261,096,028,373,469,851,132,706,035,299,054,794,290,286,727,
736,409,220,500,187,175,752,269,312,767,997,552,801,574,804,399,517,616,969,
797,322,095,605,225,107,775,608,762,080,235,306,683,051,431,078,975,117,181,
416,174,977,430,839,607,924,551,426,026,444,237,333,037,497,275,430,342,173,
435,657,414,066,450,229,380,689,997,140,227,349,680,275,475,850,562,316,123,
471,862,592,927,700,133,657,449,944,852,003,336,522,914,073,455,093,359,191,
105,606,762,715,315,944,638,508,637,555,669,587,204,810,700,451,646,281,281,
746,651,388,021,609,914,572,585,770,126,991,823,620,525,699,499,468,409,664,
313,026,205,606,772,424,692,744,397,031,649,486,644,121,557,810,996,944,235,
287,930,098,245,877,618,889,441,391,010,598,377,649,179,778,082,956,235,572,
690,929,609,724,048,555,005,032,380,551,785,215,949,209,052,111,560,926,195,
708,595,243,225,208,355,607,295,629,024,194,418,326,805,042,681,837,273,774,
113,113,518,620,709,934,264,690,409,926,062,891,813,006,221,208,073,714,509,
104,746,242,550,141,873,629,711,702,504,576,536,606,751,789,045,360,045,957,
111,329,600,229,635,493,329,222,479,630,441,925,998,095,006,483,309,026,866,
231,872,598,292,952,369,716,746,240,556,299,227,715,983,101,584,964,512,908,
312,024,771,215,757,098,709,816,162,805,697,805,190,353,277,037,267,030,189,
987,007,256,635,356,721,496,192,701,530,709,600,092,433,439,685,956,447,636,
038,273,401,211,705,506,361,569,002,556,667,554,728,095,004,408,559,329,314,
532,915,559,779,116,373,109,820,244,185,642,045,092,032,676,816,314,244,984,
544,237,062,003,008,810,318,689,048,579,934,546,311,547,003,839,935,164,563,
352,091,156,308,344,559,924,672,378,301,500,492,639,084,053,247,236,979,555,
203,633,752,258,086,627,066,027,000,834,835,994,727,715,745,041,010,745,628,
321,278,270,585,597,212,084,439,185,417,937,653,053,311,346,681,308,460,895,
809,576,617,140,464,459,279,320,067,054,411,157,905,398,967,596,052,096,347,
952,347,555,993,543,034,524,636,032,378,191,626,873,806,461,571,334,100,865,
575,681,341,689,326,029,095,015,866,838,705,471,592,279,090,676,227,186,395,
492,176,749,737,300,143,313,622,629,379,498,088,274,061,933,020,793,473,398,
604,402,838,674,221,912,658,386,159,744,343,913,591,794,053,838,907,941,723,
380,782,209,311,727,825,198,710,703,168,049,144,967,443,021,213,535,169,100,
701,892,619,413,643,963,994,603,718,058,982,599,312,707,977,644,368,586,067,
388,275,876,753,744,503,491,701,672,812,097,774,718,883,983,395,752,863,328,
867,111,936,199,996,585,038,264,201,081,531,753,575,245,689,609,691,595,868,
370,945,648,108,771,349,591,526,959,404,607,153,516,368,275,999,336,059,140,
800,979,054,275,201,798,421,820,408,551,976,891,462,285,348,749,942,406,169,
015,322,493,979,424,082,538,965,376,681,460,677,205,560,436,009,764,544,750,
229,072,048,507,987,813,052,178,757,090,412,904,642,664,215,254,774,511,166,
091,086,466,489,054,525,464,419,270,277,831,410,933,438,547,778,647,517,854,
831,802,657,152,997,962,867,380,544,261,383,569,669,478,339,666,106,871,429,
740,607,374,926,525,020,707,964,972,667,813,960,845,072,268,393,514,782,795,
758,947,301,320,069,935,695,516,884,335,191,468,188,368,005,303,847,454,404,
581,579,490,610,646,639,877,451,852,024,851,321,924,311,586,366,459,682,769,
472,490,766,166,661,307,481,556,406,023,125,997,875,045,214,538,423,209,807,
483,505,380,931,079,400,196,536,980,622,353,112,153,779,390,061,700,632,235,
495,441,966,131,213,713,391,610,828,114,216,528,838,299,241,292,059,982,627,
225,802,492,518,969,792,358,053,114,407,318,970,362,011,779,012,444,250,821,
646,997,911,571,283,009,021,947,221,731,972,956,854,852,510,034,339,193,843,
155,452,210,008,812,563,099,631,768,273,006,535,725,009,811,480,992,212,918,
854,190,506,634,208,466,924,599,744,838,121,109,651,353,935,925,082,317,487,
318,564,238,234,654,602,449,290,116,998,387,770,768,416,754,867,659,062,264,
332,666,354,767,128,877,168,527,510,277,741,311,649,302,526,742,195,385,396,
047,303,149,769,394,909,466,772,215,663,151,868,489,970,544,525,361,302,097,
045,634,318,148,079,359,842,403,160,119,836,242,758,717,218,658,338,233,261,
743,092,007,340,820,872,505,269,301,780,537,627,253,485,591,685,143,325,476,
442,433,601,913,016,466,831,926,731,076,648,176,528,545,980,324,759,298,210,
010,581,276,145,810,936,992,833,492,237,521,109,181,224,552,203,359,662,353,
886,726,007,536,009,547,084,792,114,694,346,544,393,816,379,320,700,297,473,
128,404,692,818,290,423,671,262,570,873,749,035,466,347,074,184,050,801,193,
996,169,546,920,223,170,516,245,607,936,843,132,488,590,449,468,563,755,535,
033,280,061,366,925,991,855,106,741,290,397,294,759,141,792,376,568,680,873,
117,227,145,968,453,738,643,942,723,705,966,222,889,369,278,708,800,399,074,
903,758,221,316,609,948,480,599,889,454,229,917,960,125,413,421,972,292,187,
073,634,364,714,242,632,450,380,505,336,562,686,591,828,235,838,382,570,723,
455,796,574,371,820,915,874,774,608,798,998,270,900,808,366,248,133,359,308,
392,474,420,187,002,299,978,991,534,443,313,739,654,383,802,044,957,271,497,
421,814,998,673,445,717,128,639,341,338,439,539,789,278,272,968,847,900,170,
489,783,784,337,132,257,200,242,567,827,692,986,411,188,707,571,671,470,522,
296,592,426,548,509,112,158,594,721,696,805,618,785,636,996,273,370,954,745,
112,607,849,854,889,106,579,264,395,785,694,536,558,018,518,044,423,668,640,
377,062,011,889,487,417,349,841,635,169,351,275,112,612,845,003,803,700,441,
248,160,318,468,227,056,031,749,057,564,525,124,515,932,439,181,836,011,909,
362,944,844,131,923,948,536,563,409,631,831,901,361,972,712,223,769,458,348,
135,645,178,747,683,290,493,416,763,939,801,652,360,403,569,326,182,500,833,
750,183,898,277,335,931,657,029,363,079,981,665,491,372,761,846,969,338,855,
890,335,665,855,819,697,642,016,384,882,130,692,583,940,717,776,690,099,250,
584,179,842,574,563,273,116,340,010,973,439,612,667,076,657,763,871,124,232,
543,339,286,411,958,233,409,961,802,789,045,573,081,223,424,012,857,136,179,
246,113,588,559,699,210,871,056,493,326,084,087,564,171,100,458,627,371,729,
367,309,676,745,686,323,494,346,772,743,121,821,404,378,597,278,724,092,511,
062,055,367,038,517,953,488,867,846,879,748,366,636,807,319,422,381,925,274,
589,751,917,063,967,699,307,336,311,079,565,655,656,332,226,883,123,676,608,
513,522,954,614,967,916,985,962,595,185,442,509,159,026,989,603,472,580,320,
997,015,577,830,290,189,325,547,852,087,355,190,889,083,583,172,653,846,933,
797,350,907,550,378,149,622,289,330,421,674,234,160,919,644,536,593,871,851,
715,869,429,065,385,058,152,368,774,269,582,798,849,764,371,195,564,117,731,
778,779,646,082,900,207,669,792,079,624,494,514,707,904,555,529,170,984,937,
335,789,964,838,050,975,661,628,364,527,768,656,153,497,813,144,571,654,969,
308,291,731,623,264,808,044,851,261,730,825,655,346,981,660,305,470,880,402,
763,206,610,091,859,425,395,623,018,053,826,350,036,041,137,280,043,631,565,
334,323,699,939,546,579,644,365,216,362,879,567,935,758,730,460,164,776,086,
541,335,887,425,605,976,724,996,201,533,335,060,274,102,642,892,508,114,720,
763,861,938,999,267,895,900,907,909,451,941,643,764,170,372,735,711,211,280,
548,602,737,481,624,523,423,715,270,602,475,311,894,094,726,100,096,344,864,
981,585,822,213,758,166,702,251,759,219,931,419,774,041,359,140,469,180,978,
177,439,302,656,042,997,992,715,134,386,042,906,014,073,500,749,332,061,273,
659,315,805,419,562,180,575,601,035,480,443,536,193,428,473,140,372,948,938,
569,237,906,951,486,125,082,007,858,957,174,397,585,276,729,866,480,722,694,
631,731,790,195,795,516,480,453,250,484,686,904,112,777,498,623,110,790,156,
944,852,581,013,476,416,143,606,945,022,759,655,872,998,149,475,469,173,559,
049,137,666,023,414,314,384,958,618,780,286,752,186,304,999,057,281,127,234,
467,311,230,459,440,142,413,106,285,617,731,697,605,550,000,910,297,381,677,
524,024,748,332,179,645,945,063,774,042,543,448,291,199,597,679,632,081,756,
554,825,917,382,349,144,562,578,516,023,409,625,048,497,157,072,361,941,365,
728,946,663,252,643,894,082,785,249,583,326,698,890,757,457,970,314,962,830,
900,600,338,988,423,749,176,859,672,916,798,995,517,833,941,865,535,251,904,
518,750,611,790,194,203,500,265,284,308,122,853,000,429,724,234,479,839,325,
140,339,187,959,148,994,013,687,412,787,752,272,131,027,010,342,875,884,081,
901,491,302,854,877,635,918,513,536,708,971,462,218,996,058,903,534,012,974,
351,732,617,479,946,011,775,751,335,947,349,447,698,556,073,279,846,287,051,
463,318,490,737,994,930,034,764,369,242,844,615,294,318,371,188,533,325,698,
894,439,479,956,050,211,163,373,076,203,385,635,253,776,398,136,915,906,830,
521,782,749,541,912,614,866,684,755,142,649,613,367,747,104,720,205,150,191,
899,117,840,466,817,311,156,991,362,500,661,350,838,100,905,422,174,895,019,
363,051,056,959,478,052,012,707,997,291,893,815,001,983,156,065,334,877,218,
600,668,502,249,400,540,320,609,916,200,187,847,351,734,409,342,598,462,838,
462,961,303,267,803,234,056,135,285,481,905,597,859,922,539,317,940,571,121,
929,295,790,307,351,863,788,984,574,232,425,052,188,909,801,388,067,944,105,
247,849,936,150,386,042,693,253,775,873,276,964,182,568,017,555,777,756,951,
747,015,372,858,856,041,402,659,755,384,954,094,211,014,674,019,254,232,625,
305,255,470,978,816,330,916,936,836,649,822,177,239,030,900,208,322,553,391,
647,878,325,832,881,869,342,038,493,715,172,276,567,867,214,547,323,554,643,
045,342,833,875,396,959,172,433,996,222,823,585,587,928,401,310,971,484,010,
575,064,018,695,098,242,904,388,580,233,961,887,835,561,215,382,453,429,781,
946,844,203,258,787,120,611,291,581,676,632,712,422,184,096,880,041,273,900,
170,386,798,045,109,872,534,339,918,689,021,401,528,081,282,722,783,567,625,
388,392,382,220,734,406,898,664,841,139,175,676,954,381,201,607,837,141,898,
212,942,692,294,720,157,214,876,148,224,464,712,869,886,991,035,935,691,053,
283,634,621,205,489,503,864,394,901,306,919,009,880,594,995,334,306,194,937,
184,485,529,422,248,047,989,658,227,414,898,714,256,050,733,680,172,474,744,
508,814,599,826,809,946,530,118,071,407,193,110,544,378,417,909,701,702,059,
171,076,582,391,932,880,652,547,190,126,549,436,862,022,694,192,151,393,040,
258,959,265,362,295,105,697,041,843,023,206,947,681,917,013,176,096,243,196,
976,896,019,094,552,097,990,756,685,720,795,115,653,551,380,191,255,081,826,
720,286,929,349,418,991,170,462,360,633,706,220,161,850,764,651,650,911,501,
321,345,080,595,595,097,325,564,441,439,643,891,651,134,348,799,257,612,310,
004,076,362,351,418,035,376,121,382,323,753,360,240,730,011,514,233,859,273,
697,568,708,079,373,695,328,634,706,021,231,983,058,094,159,249,595,537,904,
083,409,972,502,102,630,629,884,840,774,153,957,182,860,054,380,634,611,373,
097,001,998,950,411,469,325,052,865,246,601,208,914,580,118,534,336,154,899,
700,879,374,402,512,568,189,997,294,334,943,538,023,862,844,109,002,995,452,
001,191,248,273,278,590,108,778,467,460,413,865,850,300,872,699,760,102,763,
439,969,207,728,041,989,532,181,202,067,348,191,971,892,343,289,264,397,715,
983,498,070,454,373,299,628,173,505,176,651,349,359,309,315,402,112,150,763,
452,946,944,877,759,072,546,767,714,357,370,359,063,604,960,313,649,958,540,
775,125,960,928,996,445,674,441,358,068,186,780,403,223,005,528,245,359,003,
733,086,754,211,508,455,333,422,247,564,412,061,564,520,985,118,277,421,116,
335,082,581,981,821,354,382,692,676,662,127,985,747,514,641,464,726,991,460,
839,253,862,338,705,013,558,035,946,062,415,811,708,945,393,129,403,689,567,
849,824,873,073,632,105,069,999,450,300,396,000,697,864,817,378,925,514,106,
129,148,467,536,186,115,966,034,838,323,502,868,271,016,889,605,579,090,105,
385,478,688,726,282,006,808,265,035,445,731,672,890,248,698,663,685,650,313,
239,984,407,504,287,590,824,639,012,627,412,566,342,047,437,575,829,397,770,
406,044,029,013,658,951,285,051,007,971,208,597,089,563,162,618,841,231,654,
242,885,861,451,055,666,858,552,152,479,021,736,464,710,098,967,878,705,288,
147,323,517,203,812,852,453,249,193,778,450,051,370,516,442,764,525,697,512,
006,262,545,198,318,807,591,730,531,092,662,344,789,958,972,077,602,204,686,
875,490,500,757,675,770,045,415,196,000,302,247,010,693,726,499,497,301,514,
279,015,490,117,237,100,486,670,839,418,059,533,959,934,999,804,695,922,979,
086,460,698,726,617,073,719,952,210,146,156,148,420,277,847,054,456,347,208,
656,196,649,763,575,432,354,965,890,599,343,318,297,682,985,924,218,220,071,
666,110,579,551,545,988,870,770,725,241,635,793,304,032,186,664,103,240,431,
323,656,721,469,327,683,601,259,185,494,016,048,242,587,988,011,125,684,281,
201,545,746,925,043,435,460,232,719,096,730,694,970,441,576,697,392,318,113,
010,887,292,107,050,496,692,581,396,304,269,543,483,394,400,958,881,508,147,
314,385,389,105,410,423,565,058,315,599,566,131,174,780,503,322,337,915,461,
211,738,312,130,683,302,227,069,931,111,803,710,287,008,900,179,653,814,760,
203,868,789,101,236,128,545,761,723,995,479,638,172,377,441,385,721,734,058,
887,042,617,844,886,930,647,914,770,184,706,550,442,020,427,986,442,328,007,
269,208,388,418,985,345,495,528,428,578,868,170,139,864,567,205,834,691,325,
770,204,522,814,252,772,650,689,934,477,843,122,261,447,313,912,582,221,267,
518,100,698,091,618,357,935,168,745,301,002,088,123,959,122,139,096,605,008,
983,705,291,135,388,927,684,742,816,541,199,350,432,624,861,617,071,458,507,
745,365,496,566,778,359,666,701,297,861,795,684,783,076,072,725,014,008,180,
578,183,628,405,287,570,227,904,574,591,354,937,915,391,714,014,725,781,566,
056,169,697,845,040,727,072,810,554,469,086,791,202,971,109,764,306,775,811,
582,314,417,099,304,586,828,029,835,771,068,195,548,834,262,668,780,506,849,
955,494,835,991,799,294,102,101,627,983,553,630,091,399,687,037,705,829,461,
539,957,059,931,756,775,557,191,963,547,762,029,341,307,653,506,192,965,048,
127,883,148,159,485,236,228,670,373,706,809,330,452,556,279,748,449,472,190,
787,028,214,913,994,077,835,649,534,122,412,510,539,884,537,412,933,374,310,
222,303,175,451,938,001,430,306,153,989,549,339,547,987,479,202,474,065,740,
372,046,544,135,838,150,984,306,582,205,256,962,747,956,911,604,236,268,321,
446,284,828,575,793,525,341,186,596,216,649,028,176,271,744,484,275,211,867,
390,722,259,386,623,485,339,692,597,812,707,371,669,348,849,535,636,026,982,
303,780,036,743,167,372,256,521,434,385,256,908,065,072,678,825,453,117,438,
656,260,841,624,760,505,079,590,631,422,255,501,061,249,140,818,056,546,393,
602,597,339,842,867,573,213,323,383,443,720,508,564,618,880,371,724,594,966,
326,408,921,252,700,318,024,468,898,299,319,068,420,745,143,040,739,553,208,
162,885,118,062,098,681,506,366,627,450,385,684,291,597,319,499,432,816,404,
108,511,587,752,897,539,866,582,120,001,682,787,840,167,181,383,407,323,017,
276,595,790,452,877,834,549,731,286,567,914,727,665,093,511,863,760,114,074,
106,934,365,795,532,264,762,999,357,981,563,218,630,276,630,735,934,631,641,
396,666,602,007,748,996,958,687,996,030,157,675,922,655,870,098,009,012,601,
293,307,207,493,250,987,905,376,206,908,794,894,432,188,648,737,304,333,090,
158,264,171,330,038,797,541,008,687,012,548,938,272,352,252,867,905,789,352,
958,487,356,836,814,273,302,038,432,369,476,798,070,832,989,778,355,791,589,
174,833,699,298,556,747,982,790,521,594,994,707,834,467,382,342,026,441,656,
727,768,776,751,274,109,735,654,678,306,680,894,338,263,107,636,100,753,491,
721,008,610,958,810,034,074,594,843,204,826,182,847,175,504,877,444,449,923,
526,503,314,843,493,528,221,174,728,927,340,013,237,048,537,600,818,868,398,
804,820,872,389,367,804,955,372,320,964,701,054,417,714,753,257,743,970,593,
487,650,978,174,249,318,689,602,887,372,766,655,451,886,058,816,259,628,892,
720,226,547,050,528,930,376,057,203,732,589,663,954,753,614,386,636,986,974,
338,634,729,859,478,669,469,987,195,414,634,367,739,942,086,344,537,164,416,
041,745,190,047,577,724,833,100,032,313,174,865,334,871,188,777,065,900,897,
084,976,756,263,370,299,630,143,493,656,711,205,302,792,185,647,390,747,111,
901,161,750,762,901,636,797,361,479,284,197,841,980,186,505,445,451,606,503,
900,849,944,826,197,107,227,163,726,289,983,271,841,727,079,234,651,260,729,
999,919,879,931,320,286,152,473,992,449,701,502,409,137,606,687,303,344,306,
346,132,021,956,016,407,146,690,639,790,601,631,941,364,252,882,952,895,105,
451,509,504,212,547,571,759,599,141,808,922,283,685,556,283,733,310,076,596,
171,546,460,668,447,929,499,509,379,330,067,941,520,730,770,834,598,983,247,
867,013,250,654,194,505,553,526,409,186,054,400,388,626,001,404,038,061,245,
884,508,708,420,742,304,814,831,002,812,214,356,889,892,349,985,877,615,487,
516,000,654,161,814,276,919,449,473,612,603,436,036,134,174,209,990,762,849,
143,886,484,693,084,214,307,228,483,504,642,544,915,392,166,193,426,797,783,
135,818,740,451,840,562,298,044,330,501,873,119,611,477,201,764,182,717,646,
969,369,758,530,756,955,230,971,362,090,098,140,455,158,330,804,337,204,763,
831,036,890,617,463,519,710,840,825,970,612,075,370,920,011,622,324,215,383,
491,622,255,077,724,121,160,087,671,666,106,327,706,759,567,928,148,222,844,
328,937,629,903,945,981,665,372,030,658,657,645,761,341,305,243,294,721,097,
612,622,880,458,198,460,803,670,133,750,564,544,621,160,901,633,706,785,367,
267,185,937,336,646,616,022,188,942,163,988,045,307,751,742,371,339,292,354,
634,831,312,380,346,595,930,553,034,255,770,448,505,911,969,407,891,467,139,
644,425,891,199,212,037,379,624,845,375,933,588,969,484,597,511,415,264,965,
086,769,368,215,404,015,051,905,830,508,334,652,525,298,920,104,616,928,228,
247,865,736,463,788,863,779,824,106,067,017,013,415,152,873,381,181,233,400,
808,198,219,742,510,414,681,961,138,016,193,704,998,826,561,447,602,388,255,
077,486,773,404,844,217,635,262,662,948,710,248,298,812,324,738,175,993,291,
088,493,110,033,023,999,993,369,266,164,130,805,188,178,614,230,498,802,641,
751,595,644,123,559,897,167,153,937,463,099,931,591,183,672,263,929,427,682,
914,702,529,968,612,811,294,009,203,496,136,038,564,170,636,744,511,528,555,
825,764,099,165,641,451,427,411,898,484,735,021,419,265,442,105,369,984,133,
145,273,191,158,376,687,040,361,920,255,824,357,089,022,818,555,820,867,173,
190,961,110,038,619,509,288,570,325,071,128,889,585,110,353,559,913,381,851,
813,151,037,650,930,764,124,986,389,371,615,439,659,580,797,683,901,128,200,
970,037,287,029,805,629,153,362,211,201,239,600,205,409,153,520,164,754,579,
659,516,419,857,576,534,947,390,183,485,996,320,671,300,342,971,730,818,058,
587,761,537,974,667,503,274,509,494,492,893,879,831,550,244,229,007,966,410,
494,316,796,705,026,791,266,931,502,909,794,284,996,360,009,652,414,838,299,
185,569,413,046,854,679,798,987,226,911,632,451,549,403,758,550,643,117,568,
583,205,032,712,093,280,259,394,473,784,644,551,171,602,443,407,440,449,970,
398,864,644,188,674,059,544,313,675,776,222,670,800,060,731,282,062,835,751,
744,885,660,071,628,855,642,202,040,372,163,571,052,150,704,034,024,606,043,
463,900,059,366,346,041,607,379,654,925,362,484,965,818,373,089,161,194,501,
945,816,865,750,800,775,964,416,901,364,320,245,224,928,391,550,966,376,434,
194,687,183,275,779,444,921,210,033,696,033,910,321,749,556,656,851,944,799,
714,320,214,143,695,353,417,141,537,453,863,505,230,710,879,535,940,656,817,
252,612,336,797,464,416,678,162,916,447,773,148,948,617,480,422,954,988,872,
975,835,772,081,172,845,527,904,523,936,817,267,594,274,793,934,236,409,721,
571,397,540,247,081,293,681,918,722,820,357,711,506,643,981,348,785,185,471,
698,848,361,858,196,231,791,010,350,591,447,614,975,861,028,528,143,089,913,
318,290,542,203,588,636,101,261,000,770,571,568,433,275,087,087,593,839,845,
795,262,427,857,966,769,203,648,559,385,650,734,211,229,485,430,993,741,178,
099,597,994,682,932,875,763,898,461,262,702,889,291,670,250,786,491,076,458,
216,528,752,016,405,185,822,218,463,048,410,232,192,839,663,350,906,534,626,
456,376,085,123,909,882,136,921,002,145,818,698,484,562,846,131,877,320,449,
811,971,922,145,989,773,217,083,071,442,578,802,019,448,913,630,813,522,771,
980,748,982,691,040,854,103,329,981,439,109,132,207,353,496,790,082,215,368,
936,773,317,385,724,215,264,488,544,537,255,281,776,851,203,037,305,292,313,
409,602,690,119,767,480,761,282,597,922,822,989,526,847,616,920,477,485,990,
679,945,137,440,966,514,286,868,802,973,615,497,893,007,830,068,767,550,983,
566,844,290,203,671,298,905,172,630,833,184,573,673,635,842,215,662,531,047,
337,533,738,309,072,149,804,174,509,140,945,616,263,565,535,628,952,596,265,
048,398,950,264,570,396,654,651,772,203,527,670,004,074,040,755,514,715,073,
528,975,898,559,020,095,650,853,324,564,093,015,477,013,568,321,476,587,243,
878,543,836,853,797,028,945,310,410,367,007,318,675,553,219,211,344,102,021,
871,407,564,338,866,032,455,993,742,061,229,155,029,410,020,205,297,717,615,
051,611,120,963,594,953,055,710,196,040,869,398,085,895,273,476,328,287,696,
368,693,695,855,336,212,449,951,241,569,062,778,471,378,711,900,128,015,615,
298,117,865,413,812,410,793,129,789,992,501,565,666,164,909,185,414,469,918,
822,460,872,411,797,418,191,129,128,852,061,754,644,672,293,653,067,591,236,
365,362,278,834,899,200,474,673,303,755,646,122,663,728,510,885,540,872,831,
109,846,100,186,425,037,106,929,833,903,488,053,672,336,932,571,288,300,064,
668,769,035,870,578,064,161,662,569,036,384,763,176,930,547,682,168,826,121,
022,784,914,084,127,591,495,818,520,326,312,684,398,187,521,782,954,169,376,
819,694,086,326,160,357,713,089,724,387,610,382,757,307,423,854,786,043,177,
103,256,988,408,321,902,030,971,382,669,255,695,504,735,186,887,559,320,526,
286,612,604,831,236,014,856,168,218,282,532,316,537,324,080,093,516,294,101,
043,831,065,866,066,964,383,458,775,459,250,025,375,434,466,261,769,818,458,
240,682,162,558,310,637,403,979,169,207,037,383,043,618,048,105,106,601,141,
375,463,708,326,293,436,378,664,910,399,829,516,906,548,584,022,378,423,623,
390,634,209,867,964,010,488,732,848,535,792,611,519,401,145,053,780,244,599,
339,492,100,923,842,653,065,443,659,580,441,353,728,013,433,529,202,323,260,
493,224,839,455,510,563,355,157,502,420,785,530,982,217,803,484,369,599,768,
618,815,494,611,271,309,073,807,019,592,698,152,832,537,423,000,773,814,801,
637,098,519,318,935,517,073,986,771,911,819,352,498,254,974,145,242,064,513,
385,398,861,498,479,209,540,291,236,243,954,865,899,101,490,467,094,326,327,
108,515,789,079,965,841,082,298,438,372,140,291,129,328,656,856,414,199,784,
282,150,342,747,162,450,200,078,544,093,959,108,912,823,813,385,144,297,860,
111,845,164,162,686,670,433,078,179,844,273,797,738,757,733,040,158,541,350,
914,143,068,482,476,936,505,658,348,519,771,823,812,313,144,779,229,962,575,
752,511,831,748,144,878,048,244,999,201,320,227,595,970,584,739,972,427,116,
400,819,744,471,035,119,638,489,697,295,155,838,266,359,390,932,898,959,849,
365,668,578,354,261,038,414,817,384,564,450,166,594,088,988,772,471,652,981,
120,142,163,752,149,198,796,423,146,191,474,991,779,441,838,016,754,014,851,
194,883,470,597,884,553,388,536,174,388,162,098,044,531,875,636,354,268,271,
953,660,943,881,797,339,324,242,437,624,814,094,069,723,882,585,762,594,964,
503,091,745,473,409,841,896,398,581,891,054,193,865,002,556,771,214,983,174,
046,108,164,088,481,648,612,375,065,063,773,727,563,183,055,941,672,801,605,
300,014,325,550,698,752,037,569,996,319,428,384,778,630,941,488,454,662,227,
634,933,202,195,080,348,471,812,170,632,392,284,301,968,069,428,687,084,811,
431,847,046,570,644,076,251,533,470,454,928,883,796,566,077,687,135,288,203,
811,602,172,627,946,656,987,564,085,365,241,966,720,469,692,133,390,893,606,
584,123,098,895,642,508,419,649,745,297,873,208,152,000,537,416,704,865,786,
351,079,768,492,324,455,320,470,924,004,993,224,335,841,849,566,429,970,598,
965,875,647,334,631,245,034,123,623,066,895,101,930,684,840,237,792,428,571,
072,414,247,200,024,048,245,425,994,242,560,957,823,269,712,040,570,789,640,
117,253,680,714,039,070,168,832,347,854,346,417,127,949,167,291,335,879,547,
753,706,252,277,831,298,563,880,825,193,227,859,685,432,559,644,307,627,108,
654,302,227,575,526,759,012,953,384,601,044,521,115,337,963,049,544,548,854,
320,569,889,341,820,184,207,742,741,196,148,176,847,003,799,798,693,008,251,
111,212,005,011,201,630,399,525,351,287,511,224,379,715,365,098,481,323,572,
278,911,702,249,175,127,452,862,034,373,880,053,145,372,494,247,349,829,464,
245,438,656,448,402,530,493,565,513,012,125,776,374,596,858,954,158,812,666,
862,077,352,320,319,159,991,539,627,324,783,904,687,907,003,881,375,188,402,
141,821,497,273,638,264,327,712,008,990,111,306,141,901,641,739,292,766,045,
036,731,814,347,955,326,426,837,694,618,036,673,048,718,533,368,328,524,517,
561,459,137,829,418,854,325,019,094,452,814,427,040,412,827,681,384,250,197,
071,296,542,005,545,886,141,830,999,505,382,283,523,401,287,179,446,926,519,
458,526,904,115,198,493,044,399,797,317,554,552,802,033,015,152,277,851,469,
019,039,224,337,945,448,689,562,050,900,396,292,170,599,909,745,729,804,870,
892,652,723,948,882,038,063,586,404,575,422,396,659,423,381,660,751,966,329,
184,172,113,033,332,676,742,826,338,610,522,866,219,837,755,219,065,176,632,
582,338,873,834,140,081,261,934,995,813,295,697,127,320,790,069,907,177,577,
311,328,233,355,662,284,553,553,434,095,078,905,220,816,334,853,411,925,342,
697,256,316,769,906,017,998,793,991,729,023,943,537,396,400,796,272,553,163,
543,557,045,223,847,300,247,433,347,266,760,149,054,325,494,941,983,215,868,
819,769,486,793,578,816,297,794,024,003,783,667,652,125,102,648,441,992,287,
111,268,257,639,083,334,136,289,096,489,508,218,811,645,265,177,464,413,742,
516,332,439,297,819,336,465,141,960,430,485,648,901,481,074,041,143,703,350,
845,686,357,986,238,870,826,221,379,246,793,254,363,115,859,836,444,753,513,
871,932,299,017,437,563,625,393,301,429,999,291,333,628,123,442,311,258,399,
796,211,577,399,093,391,734,715,227,122,288,274,430,661,967,511,209,950,244,
974,776,916,263,747,674,593,995,530,374,668,488,010,345,207,182,880,913,211,
999,155,916,921,926,344,573,412,695,305,539,911,196,112,680,734,664,496,203,
822,784,629,980,523,828,728,601,732,999,102,574,035,691,957,419,018,667,548,
226,278,447,816,320,409,079,663,627,192,568,843,424,583,966,445,890,084,075,
569,113,476,327,264,816,252,949,666,149,455,990,489,020,126,060,855,327,749,
774,652,410,473,044,771,706,135,572,797,330,205,340,117,399,420,985,650,786,
326,530,061,663,784,733,392,668,483,272,587,012,374,565,351,070,856,698,291,
413,779,523,340,231,877,328,308,391,711,315,289,824,145,781,077,545,475,833,
216,865,205,619,984,312,675,742,580,827,739,097,608,954,995,769,630,474,311,
493,881,225,339,749,699,797,611,466,245,986,369,746,739,310,328,109,377,903,
486,994,583,423,130,584,208,492,718,316,638,424,807,727,486,820,974,890,797,
631,456,254,712,514,850,710,819,452,115,716,454,201,709,710,461,347,250,420,
849,895,106,084,975,942,923,058,989,952,085,439,345,005,655,023,773,473,956,
219,405,256,872,536,071,746,809,660,513,278,224,897,873,449,545,432,313,533,
570,246,502,639,109,326,118,098,267,346,689,816,591,712,634,536,930,491,743,
649,655,642,917,354,516,962,770,235,985,626,333,809,588,722,983,111,737,424,
083,218,841,175,574,158,568,728,940,452,113,548,473,696,553,170,498,397,060,
509,918,395,050,278,011,625,982,509,569,751,638,228,761,953,447,275,723,614,
699,823,190,530,880,496,958,417,283,742,686,180,081,844,907,946,970,099,326,
859,534,233,375,375,391,185,386,099,839,885,041,011,472,790,101,760,361,383,
084,345,314,970,555,136,234,907,204,759,941,813,504,336,315,411,471,284,485,
246,341,512,390,892,103,854,312,035,825,566,782,714,494,792,211,598,884,920,
261,894,909,786,054,846,171,426,736,523,866,723,448,493,648,865,677,472,238,
299,525,399,946,307,341,532,705,541,899,228,783,057,396,113,718,958,093,237,
869,258,556,076,566,970,777,440,579,914,367,432,224,031,172,677,487,468,723,
151,241,273,637,794,342,335,333,351,393,392,019,728,266,884,511,575,166,989,
939,057,765,070,322,787,407,789,330,003,521,777,728,217,661,068,978,540,900,
200,387,691,888,460,029,056,350,594,274,013,238,168,103,584,092,769,135,468,
174,419,490,710,187,057,425,214,532,489,921,281,439,392,996,836,042,348,349,
070,707,272,791,062,105,300,831,230,953,703,314,098,247,318,084,635,218,937,
201,348,370,076,072,765,581,492,127,870,959,757,731,088,626,449,529,937,239,
644,679,808,660,348,666,641,373,721,372,673,475,416,869,314,842,834,305,097,
892,832,524,637,938,496,494,585,942,320,187,256,193,744,223,400,705,498,824,
611,207,870,999,849,915,166,937,479,572,275,877,811,362,857,097,199,992,867,
517,294,156,246,294,694,518,323,590,583,738,935,785,564,855,991,459,107,369,
580,368,080,576,466,804,819,524,487,164,847,171,393,249,086,270,637,703,046,
076,632,886,985,643,362,301,273,800,942,782,285,892,559,985,378,629,037,035,
434,511,844,177,482,753,560,348,527,029,677,643,606,958,929,652,505,318,516,
987,823,790,999,582,069,647,154,928,949,924,931,045,780,069,596,659,938,606,
277,368,107,837,352,764,808,114,237,984,749,900,898,664,148,980,558,872,464,
775,081,334,984,099,742,844,608,758,382,442,103,192,716,620,764,586,646,127,
879,763,993,291,866,126,779,527,930,812,818,986,023,848,248,193,100,429,309,
791,085,454,675,629,268,717,449,868,313,301,385,485,625,172,470,374,538,906,
779,805,445,294,180,967,415,614,157,039,709,552,402,184,814,316,194,039,776,
369,883,648,985,131,395,756,056,069,815,814,807,397,464,545,075,469,488,300,
076,501,073,956,763,576,591,299,307,813,986,168,053,370,373,415,084,461,215,
581,679,407,617,305,559,303,573,883,809,400,328,426,164,475,859,203,163,184,
506,470,742,108,085,451,319,921,985,437,893,874,964,700,381,472,554,968,286,
413,059,883,649,849,248,556,482,644,006,967,127,941,429,239,074,636,887,953,
549,586,013,291,531,764,722,078,442,723,137,807,676,601,619,108,313,341,533,
298,641,354,673,320,567,507,414,407,317,784,728,768,750,371,734,755,866,870,
622,375,257,518,401,002,262,925,776,957,798,930,447,706,972,064,652,132,859,
389,321,383,494,761,857,072,238,627,539,573,761,256,996,964,530,941,154,182,
825,628,886,131,443,773,644,270,823,629,557,618,187,387,488,435,759,610,507,
863,514,791,595,905,038,975,797,752,399,466,966,283,004,791,376,596,887,667,
452,617,787,601,560,658,164,095,368,347,420,722,593,204,167,132,991,998,356,
020,990,763,246,253,108,799,913,484,666,951,290,910,635,757,869,685,233,550,
116,161,362,010,162,138,655,789,346,542,454,676,487,432,485,374,485,758,982,
535,832,766,933,761,302,195,631,648,204,938,608,383,466,793,157,594,677,860,
569,085,101,742,119,513,148,054,516,348,738,235,526,830,301,751,884,828,413,
955,419,155,034,501,944,555,870,213,449,719,530,842,427,030,303,576,160,619,
830,726,386,204,881,987,435,864,504,058,654,397,704,543,388,386,122,617,770,
788,234,698,653,998,335,640,303,211,982,181,959,989,798,676,078,909,229,422,
217,873,645,775,525,272,746,030,634,381,482,837,112,408,682,330,441,479,062,
096,226,155,357,480,211,331,736,535,619,083,461,677,604,947,000,189,156,564,
513,521,350,962,186,192,070,720,011,546,308,648,616,783,241,587,497,875,575,
564,558,212,071,187,011,651,035,707,887,676,390,974,003,119,918,229,100,780,
658,576,108,988,809,720,775,483,677,676,295,503,352,223,053,655,700,098,580,
779,711,998,763,140,998,571,964,908,934,912,566,313,404,148,997,262,281,107,
794,102,318,070,604,726,121,581,627,997,766,419,869,757,879,583,128,339,336,
206,799,730,805,349,714,810,201,476,665,803,255,203,907,637,561,390,201,285,
673,362,811,985,782,889,312,248,943,849,534,769,139,619,684,875,431,854,260,
261,126,507,182,612,396,808,827,392,185,288,040,139,470,496,156,844,745,827,
250,342,759,297,846,608,985,474,890,614,174,170,589,485,089,426,418,583,336,
393,688,217,477,417,517,161,843,565,976,404,450,119,407,869,224,566,316,698,
574,927,215,976,456,675,058,685,581,580,327,107,050,529,609,547,691,854,358,
363,965,194,074,394,674,381,594,500,202,354,121,750,867,961,132,127,961,534,
481,598,868,728,673,949,231,670,552,450,529,450,895,301,083,011,078,112,400,
603,929,039,095,648,657,758,860,895,812,275,401,183,224,371,188,230,906,104,
958,620,231,017,623,130,692,907,384,507,706,617,350,025,402,156,187,574,445,
438,993,664,394,902,095,392,520,149,669,582,266,715,699,729,205,033,945,424,
891,745,141,272,458,123,389,968,069,678,700,406,677,082,080,153,705,985,802,
262,487,114,909,629,851,824,869,359,526,029,384,770,774,070,790,565,929,947,
536,692,668,120,330,030,356,756,604,346,921,596,219,679,810,802,365,977,510,
687,119,226,806,920,760,141,449,947,930,968,296,888,414,830,663,524,818,652,
689,221,088,968,514,490,188,249,016,442,885,700,622,946,697,023,726,450,472,
969,752,029,406,203,011,255,868,084,954,825,253,797,443,224,883,333,984,116,
228,960,825,379,089,432,092,028,862,334,435,411,512,261,130,963,874,271,891,
651,846,218,501,388,912,205,610,265,041,651,188,507,961,133,699,867,756,354,
860,726,966,192,289,224,819,005,430,835,168,290,620,168,240,853,012,021,175,
339,198,678,476,085,617,621,751,521,691,980,305,036,904,829,210,872,657,398,
724,264,460,303,657,800,349,062,860,031,545,915,740,467,047,228,623,791,448,
405,992,831,821,094,532,058,947,345,333,990,562,330,663,750,793,615,357,335,
721,295,257,157,637,002,801,636,967,796,514,121,791,201,494,088,944,919,780,
959,074,942,257,359,198,943,261,003,809,097,253,456,952,879,313,582,675,178,
289,912,403,890,469,040,222,462,536,627,813,394,350,190,280,230,799,650,743,
885,682,937,606,946,486,463,694,199,872,561,274,979,325,194,828,802,133,171,
697,150,761,695,245,258,632,552,841,771,016,923,655,962,860,125,569,522,300,
636,613,239,207,551,527,686,692,325,485,721,383,833,119,276,263,964,252,031,
289,961,949,405,931,248,201,689,446,964,456,374,925,876,953,219,858,043,498,
582,872,749,161,876,149,862,746,017,844,038,929,662,574,029,038,482,761,460,
377,868,422,977,585,799,616,003,413,022,206,629,161,901,257,580,438,312,473,
909,694,440,123,083,110,618,572,167,626,451,930,290,369,833,102,174,708,553,
165,991,079,479,844,426,423,683,932,402,377,237,830,392,715,422,960,364,300,
041,235,139,506,545,999,944,469,017,028,134,967,248,561,052,835,276,408,460,
169,666,520,108,632,690,571,733,082,976,112,262,696,905,496,258,473,359,904,
228,727,337,044,032,814,874,695,246,107,482,745,380,039,560,125,696,852,622,
142,018,670,233,389,739,158,609,465,141,337,903,089,948,961,181,357,009,786,
718,301,910,231,021,575,050,240,181,213,544,553,445,355,070,236,779,935,608,
532,512,168,751,584,308,401,841,840,114,367,543,492,673,587,261,222,373,961,
491,818,005,065,348,667,827,376,331,184,474,135,093,407,427,103,805,479,982,
661,319,133,534,467,662,745,698,941,249,284,234,238,892,087,311,073,131,074,
474,193,875,692,500,709,229,177,647,216,861,222,972,747,998,750,479,596,654,
811,164,435,337,051,135,090,259,403,702,732,139,805,883,325,137,484,777,402,
882,852,339,588,233,124,080,818,694,608,893,203,593,160,158,540,316,046,755,
689,670,391,490,451,424,720,368,007,163,905,644,181,505,928,664,279,454,226,
331,734,388,987,489,426,189,216,431,714,146,885,353,896,436,712,290,615,382,
051,202,812,028,129,216,633,714,138,928,281,933,264,149,704,221,449,952,036,
311,761,740,797,642,912,731,257,917,327,545,271,224,821,237,045,111,983,277,
033,967,913,718,611,989,020,392,450,779,396,676,446,221,339,124,258,941,184,
418,391,664,433,239,490,824,584,290,797,945,853,225,564,270,063,244,509,286,
083,419,858,527,322,904,110,592,186,415,361,222,681,179,786,015,097,621,877,
833,205,779,630,288,642,987,717,359,677,481,792,683,670,321,905,523,617,570,
984,593,303,408,134,204,896,560,743,979,772,797,400,896,361,332,378,568,100,
522,149,945,992,476,813,834,163,780,797,611,009,687,901,717,107,283,375,728,
156,983,829,258,058,176,649,947,805,869,635,256,514,797,817,272,021,348,631,
856,996,518,256,304,391,526,910,636,361,157,388,045,964,117,615,774,679,597,
385,423,766,316,907,429,131,085,567,682,224,172,906,755,654,927,560,871,476,
860,323,727,797,301,379,758,893,950,445,075,178,172,181,579,763,069,329,487,
088,713,845,611,619,224,800,553,408,232,485,955,022,996,926,327,167,104,779,
151,898,713,788,073,908,577,517,725,981,191,272,536,303,530,089,564,196,381,
929,279,554,943,421,820,062,054,863,108,072,611,311,542,610,399,771,628,085,
314,007,803,612,700,433,975,806,303,539,902,749,000,050,246,180,793,800,157,
713,014,955,605,547,911,227,638,012,887,574,981,308,543,570,538,808,378,866,
172,443,782,483,545,177,025,242,627,562,909,287,676,811,556,680,356,066,492,
246,929,432,841,277,678,043,728,933,709,037,591,232,394,160,292,335,005,376,
885,105,336,025,718,607,491,923,310,865,226,562,196,617,098,166,006,054,462,
203,177,786,184,492,873,807,520,323,205,142,973,689,802,477,520,946,262,972,
317,171,673,862,821,335,503,695,054,636,680,641,733,576,288,405,364,200,922,
031,176,941,283,641,172,480,437,189,168,197,951,522,930,124,134,779,763,972,
677,540,775,181,259,385,900,787,974,478,051,527,273,733,916,326,746,127,729,
538,256,950,947,354,231,413,373,121,532,220,677,723,038,696,033,130,876,182,
366,644,416,521,430,961,952,808,336,267,461,909,258,433,649,008,610,602,184,
765,499,280,432,253,293,056,697,023,019,175,560,645,845,507,527,043,047,773,
910,325,988,498,136,205,865,807,558,678,333,609,875,910,989,904,634,729,924,
589,553,553,800,293,365,665,229,840,326,633,309,374,876,995,499,773,308,449,
906,379,736,205,200,104,687,326,892,999,270,923,496,465,422,965,656,954,353,
758,753,010,497,622,888,391,001,952,513,339,807,379,364,166,405,964,274,957,
045,858,567,961,672,454,942,535,689,205,172,250,720,485,395,365,854,552,099,
970,023,894,960,442,537,113,050,593,897,011,903,981,608,541,076,017,649,846,
816,711,563,493,999,494,293,091,517,335,607,919,506,774,487,823,855,599,405,
315,217,236,642,727,116,584,413,365,324,768,999,187,090,816,126,399,707,196,
489,355,452,766,534,080,416,650,317,727,578,083,013,527,646,191,706,997,139,
937,855,128,246,169,994,808,520,016,167,157,347,741,740,240,950,936,573,582,
089,456,044,373,156,029,922,053,496,067,350,248,390,268,551,167,461,804,399,
596,419,127,495,058,045,127,705,818,538,442,583,795,973,606,462,076,698,144,
545,380,755,334,441,167,866,132,485,028,591,565,926,378,061,385,259,833,837,
942,824,912,218,132,285,996,724,615,153,756,907,737,520,787,419,859,219,948,
917,757,710,291,534,717,766,077,651,281,480,186,513,917,079,670,857,218,118,
828,238,781,002,268,316,462,791,817,594,715,457,209,945,671,827,402,397,076,
318,761,041,737,207,870,342,919,790,798,032,087,833,709,412,450,658,833,024,
406,436,900,862,857,158,143,501,196,122,289,156,553,700,011,303,145,507,138,
485,338,713,125,043,787,582,954,454,353,365,990,051,261,418,120,671,819,459,
310,270,536,121,291,485,715,628,685,605,663,284,432,728,136,932,556,009,060,
991,975,802,242,648,832,428,028,802,547,673,199,848,595,702,529,925,584,966,
728,465,216,340,390,766,171,590,543,881,424,232,314,371,316,307,198,183,220,
988,194,967,520,237,762,714,070,339,682,081,997,656,460,273,344,525,282,322,
094,779,015,192,931,888,422,471,766,769,076,003,681,446,922,855,063,171,062,
244,408,778,894,590,831,927,558,925,383,435,592,333,791,300,760,698,656,336,
105,658,803,135,580,501,556,879,213,084,113,442,991,474,341,514,774,523,199,
567,281,189,691,379,834,028,726,188,226,780,043,536,573,920,287,682,142,572,
970,522,418,232,035,350,837,725,860,603,112,891,405,312,062,747,045,593,784,
488,843,755,458,881,893,047,197,615,195,149,856,018,594,822,950,506,391,239,
220,260,674,600,739,720,135,512,226,856,127,571,993,045,103,069,500,857,996,
276,200,449,158,277,721,904,306,024,326,974,211,996,703,929,936,309,150,717,
204,099,579,252,312,162,168,518,693,651,474,451,304,772,336,984,234,063,028,
531,909,838,614,821,316,891,199,539,599,620,447,694,993,589,511,307,623,513,
960,520,399,170,193,026,124,807,382,021,447,023,990,540,393,834,410,754,218,
979,353,313,434,899,287,854,550,991,836,683,906,760,742,594,558,407,034,312,
167,235,380,431,782,678,240,823,193,974,569,823,854,142,582,349,651,345,182,
902,215,703,277,105,018,638,263,367,573,420,859,669,452,590,529,831,734,834,
358,981,635,291,695,530,263,313,143,584,058,231,880,341,606,601,925,286,976,
493,875,567,748,257,234,408,684,315,140,725,611,040,968,992,474,087,239,412,
930,588,165,570,526,742,502,443,079,682,698,468,953,784,449,650,260,862,486,
568,191,681,316,034,801,958,985,983,086,073,568,722,223,460,643,984,183,067,
865,215,215,021,736,610,789,491,115,564,204,810,842,314,425,444,885,580,654,
524,038,042,861,545,897,839,176,134,639,175,316,444,604,156,601,600,143,669,
273,413,353,184,142,614,751,340,596,471,683,493,528,569,964,700,159,099,700,
059,418,500,535,908,128,654,573,457,453,167,723,819,882,323,747,321,595,682,
801,193,486,198,495,913,349,659,036,163,210,938,816,273,075,546,895,248,324,
785,677,852,935,727,573,658,870,612,934,154,120,269,651,085,263,244,826,982,
240,747,273,849,230,431,556,936,338,077,843,544,059,872,086,625,247,537,116,
923,148,332,610,418,824,498,011,992,273,177,017,913,302,196,954,815,811,177,
896,278,749,583,664,174,460,991,949,343,368,147,536,834,868,608,975,825,324,
246,424,154,885,472,821,492,628,592,776,686,033,040,007,134,719,116,286,066,
352,364,577,523,717,230,575,286,411,840,925,293,056,415,744,517,253,494,164,
874,732,280,224,965,594,229,758,336,571,985,484,820,489,385,403,677,953,710,
528,835,685,609,925,648,128,042,152,875,003,068,513,710,973,719,839,835,309,
460,776,545,448,171,863,701,057,443,808,696,898,225,427,250,153,890,451,607,
482,523,825,085,287,103,010,070,161,796,756,475,455,605,676,477,479,796,526,
144,116,069,031,768,131,904,623,066,221,990,915,460,668,667,594,891,226,671,
889,003,584,358,003,531,867,946,169,443,270,898,838,228,042,700,271,455,662,
047,940,681,606,618,265,495,958,715,681,997,937,596,276,911,592,759,192,289,
407,892,645,828,334,364,423,655,237,805,213,114,618,961,150,289,258,562,086,
138,126,568,070,122,312,632,100,277,096,767,431,418,890,350,229,876,608,477,
988,152,634,944,100,343,343,658,635,951,445,440,992,210,598,009,138,009,556,
322,907,773,034,313,036,775,158,016,369,451,225,366,091,343,850,690,590,888,
504,932,994,744,189,955,406,410,397,316,156,903,557,496,697,214,295,008,710,
080,220,348,932,849,349,010,394,817,344,766,388,145,367,130,304,793,137,996,
386,423,120,216,522,142,283,252,379,212,660,928,346,963,083,712,925,454,245,
158,252,153,992,337,396,815,148,062,031,694,392,626,927,804,627,002,574,565,
034,267,907,909,142,101,143,039,670,511,854,402,001,247,425,174,025,988,461,
507,209,694,504,252,252,280,665,477,829,200,009,973,711,869,767,506,646,486,
690,048,589,747,068,351,154,748,283,890,477,213,163,160,272,467,630,252,441,
154,761,119,979,394,321,110,502,141,777,680,300,087,095,815,690,343,733,238,
861,002,405,557,631,046,741,639,320,578,528,655,751,208,018,518,114,049,504,
675,844,627,639,762,334,950,792,826,941,146,045,633,441,174,218,143,818,846,
659,940,848,096,051,477,309,975,385,716,719,420,723,955,486,727,201,618,379,
134,199,582,178,562,361,224,450,461,169,987,041,941,545,396,831,415,618,771,
190,872,881,696,127,654,131,992,896,346,506,797,006,727,580,637,042,059,267,
844,708,844,681,351,298,090,312,757,177,170,875,205,726,050,034,866,214,998,
491,517,524,576,666,269,128,880,212,928,256,388,628,508,544,809,587,050,727,
068,339,380,070,228,892,900,303,319,797,876,331,946,009,304,494,618,273,390,
498,602,497,730,063,108,081,099,212,040,924,887,789,724,358,203,663,981,619,
028,338,459,212,046,204,751,495,467,136,955,187,515,952,516,725,839,790,579,
750,368,288,789,511,684,648,109,257,091,584,055,194,430,376,858,204,711,228,
865,389,196,226,358,389,737,359,588,181,573,418,021,584,796,979,056,005,952,
814,527,681,888,463,716,114,416,975,871,500,240,532,821,247,804,482,371,363,
038,620,956,653,590,070,990,885,554,222,976,896,361,278,282,110,398,900,401,
657,208,403,379,609,520,597,271,432,303,932,675,976,276,704,933,330,565,167,
688,361,232,314,351,005,958,371,993,252,725,229,553,461,496,307,386,820,472,
932,248,280,286,522,999,736,187,282,014,097,860,843,408,987,471,352,245,369,
212,950,459,049,012,506,390,890,428,653,579,270,828,058,543,883,266,943,957,
958,047,858,238,298,888,435,476,275,393,352,095,292,749,274,036,550,305,462,
229,556,100,747,696,390,086,759,420,297,914,101,824,049,300,149,579,917,463,
588,251,168,966,131,874,480,239,428,979,258,351,390,612,475,607,667,812,686,
178,330,774,727,724,549,393,290,244,074,193,411,606,882,696,215,514,734,579,
428,445,098,394,476,279,656,014,378,073,568,975,761,241,321,900,603,838,135,
135,261,771,714,735,962,538,913,604,572,482,899,579,177,091,490,346,503,176,
101,490,665,928,193,515,767,932,660,712,869,532,116,999,117,094,128,809,548,
012,005,438,193,559,214,079,738,324,513,788,294,591,139,343,806,642,867,162,
499,915,202,034,392,895,190,882,670,332,966,193,791,550,183,732,245,639,893,
050,119,802,428,420,635,978,897,184,578,902,064,206,752,465,885,001,466,714,
252,274,842,477,376,614,391,137,882,553,960,631,592,356,299,762,782,036,967,
906,572,621,713,422,780,250,417,500,797,858,189,082,619,119,935,776,300,645,
417,718,694,201,740,428,770,485,680,585,296,731,351,365,195,954,537,384,002,
777,139,373,958,506,262,578,862,540,555,828,508,055,542,307,338,541,643,531,
293,801,272,204,903,734,978,287,256,790,801,647,903,713,871,223,708,364,538,
905,618,281,443,897,486,947,479,368,668,721,551,092,612,466,304,966,640,414,
087,968,667,343,842,429,806,256,088,785,015,615,887,016,649,491,711,183,960,
160,839,769,885,666,149,516,745,757,683,176,611,548,017,088,892,401,615,097,
430,162,088,760,936,132,732,303,223,538,856,903,662,519,286,924,617,496,106,
535,829,015,498,251,507,872,693,050,283,076,802,574,619,306,829,785,416,074,
625,297,944,192,415,070,493,052,558,749,736,498,232,061,055,408,353,086,054,
536,117,169,141,808,880,175,047,605,064,492,073,674,930,450,407,942,542,418,
451,157,071,018,671,989,210,008,869,119,998,100,373,087,618,283,464,140,341,
684,775,899,713,243,717,721,670,942,315,787,198,562,594,517,377,524,300,672,
537,582,734,368,522,447,175,317,502,612,566,496,968,003,001,745,189,496,783,
535,821,444,818,957,783,411,246,083,799,899,975,687,815,086,114,687,848,865,
774,394,300,344,807,604,428,783,502,365,275,599,228,944,244,310,288,971,293,
246,402,075,892,650,184,210,783,811,391,707,183,674,446,027,233,045,532,544,
789,454,020,765,110,113,544,221,169,205,783,860,971,029,024,546,071,503,586,
827,700,117,964,772,733,808,331,644,454,568,036,020,517,703,055,839,498,139,
058,550,741,617,513,548,721,430,888,516,712,631,008,363,721,596,122,380,482,
418,313,347,025,936,157,019,254,961,357,671,504,020,792,258,280,861,000,435,
190,204,795,468,277,187,308,406,214,138,238,727,063,874,219,671,315,132,987,
463,544,593,687,421,571,095,304,475,560,102,114,673,714,736,252,580,073,062,
355,661,309,475,935,781,645,262,443,168,130,901,913,011,894,999,239,541,520,
507,652,606,445,111,365,357,723,834,750,503,002,691,774,088,858,962,422,686,
940,205,915,486,898,781,712,281,312,456,820,760,206,283,761,172,659,439,256,
996,623,182,255,001,430,659,113,767,789,281,204,294,128,726,445,627,150,725,
815,881,343,830,328,431,205,749,562,790,687,432,013,395,703,765,699,903,502,
758,904,392,477,259,947,523,860,769,769,985,689,570,431,117,152,082,250,469,
313,879,295,683,811,015,448,344,770,434,050,601,198,881,813,583,491,212,305,
342,159,108,858,601,239,668,018,333,747,603,498,979,050,916,862,249,972,467,
880,387,585,087,928,257,472,020,224,287,872,111,433,700,760,172,545,001,172,
275,395,936,363,702,823,919,962,983,204,366,929,610,459,451,745,117,239,321,
426,638,991,593,798,405,707,432,160,270,717,243,227,491,992,035,294,343,578,
666,187,799,112,560,280,242,168,533,277,810,991,292,299,686,679,052,073,638,
734,936,552,945,782,093,740,681,753,794,388,256,382,135,346,170,679,999,930,
628,325,615,374,985,505,098,773,233,712,518,285,708,457,660,058,598,091,559,
775,034,758,206,698,890,859,056,870,834,076,305,155,900,755,459,139,559,784,
521,870,449,462,044,844,618,903,666,525,813,757,238,256,819,809,224,955,244,
047,743,845,463,767,855,179,247,411,390,125,091,313,450,060,243,306,039,445,
727,580,794,882,388,629,603,411,746,701,736,598,660,885,676,401,472,884,343,
507,827,104,272,020,254,938,843,533,959,976,973,489,420,162,133,432,305,038,
547,081,889,813,893,746,526,413,930,413,237,874,178,910,230,166,783,177,015,
905,816,569,277,926,005,836,592,218,784,509,167,312,652,283,511,303,176,556,
915,388,953,101,451,233,554,112,108,238,134,030,874,227,930,515,910,533,657,
288,560,282,023,880,617,330,012,208,747,523,892,412,301,522,897,951,278,867,
219,276,900,489,064,746,673,735,806,166,027,402,979,117,907,684,233,067,699,
185,913,391,611,046,653,645,279,898,064,297,722,067,772,998,730,981,223,798,
361,481,396,027,162,117,604,235,216,616,609,888,619,835,309,180,361,477,606,
952,935,747,733,642,315,140,977,282,821,491,913,978,155,973,743,927,406,841,
262,612,199,130,537,238,515,378,229,041,622,603,477,420,612,735,966,137,162,
619,534,378,555,919,590,657,811,545,297,917,951,708,677,445,911,004,815,614,
096,661,487,551,993,830,410,864,325,636,593,921,690,787,213,994,026,491,251,
156,601,164,859,913,031,825,852,820,973,836,930,651,360,181,735,269,509,095,
101,674,164,403,727,109,117,646,152,835,251,738,900,373,273,739,558,750,530,
145,375,203,918,073,587,133,585,327,395,250,740,005,112,079,075,077,682,582,
627,199,162,364,101,845,598,934,693,009,779,313,925,296,811,306,942,290,771,
337,021,904,216,157,939,254,045,735,998,783,109,213,006,680,655,758,280,840,
646,981,439,578,548,361,807,893,800,468,689,736,993,753,267,201,559,015,471,
062,015,187,773,389,094,059,627,421,004,737,014,809,716,483,959,141,508,726,
289,448,537,529,011,703,776,476,073,432,215,900,660,080,259,508,669,138,670,
868,846,135,058,501,951,116,366,975,539,409,886,579,386,655,307,633,329,663,
657,393,061,291,282,991,507,164,944,311,632,389,885,952,114,653,709,133,230,
427,115,219,833,271,176,710,628,758,140,938,021,906,907,185,647,919,600,927,
613,641,104,227,112,981,925,499,933,623,669,526,273,800,133,531,127,413,203,
426,263,112,141,426,357,638,665,089,130,462,463,843,489,382,147,755,645,829,
283,735,728,823,984,829,944,380,360,266,545,306,675,772,376,404,914,697,060,
902,186,982,355,653,657,573,503,724,045,772,885,747,003,831,143,836,183,394,
775,034,272,938,939,171,820,133,082,513,057,836,339,359,349,024,578,790,193,
556,276,104,559,830,206,821,623,735,235,539,878,480,029,673,492,195,734,358,
873,888,094,248,401,601,184,909,502,878,133,220,478,969,117,914,644,877,376,
484,766,763,330,352,181,701,954,632,451,485,630,317,795,288,734,256,129,423,
683,838,162,654,039,825,110,425,582,939,080,587,671,138,456,533,204,836,894,
227,846,931,513,417,996,997,215,678,839,950,406,090,282,897,766,989,510,972,
559,653,700,263,290,637,456,933,214,113,625,780,453,891,203,420,904,311,043,
912,383,238,416,463,957,967,941,537,990,255,093,624,540,969,556,825,076,673,
567,617,250,740,546,301,788,172,981,643,514,129,542,381,371,521,498,302,779,
922,250,806,618,999,863,991,895,030,938,131,713,918,868,826,765,307,072,891,
832,634,326,821,120,960,481,061,782,712,011,714,396,082,339,687,985,380,058,
181,779,430,539,975,862,281,075,069,971,606,701,096,450,298,869,629,676,638,
459,534,363,875,351,200,376,634,318,501,395,369,677,759,993,043,957,774,262,
147,244,236,359,700,685,623,371,251,041,621,518,183,805,032,382,795,075,743,
704,238,206,042,554,815,276,139,373,380,127,315,526,071,392,043,263,879,728,
905,342,186,564,446,912,234,322,209,512,232,516,146,787,631,646,875,755,826,
853,759,009,867,675,672,427,600,897,389,043,371,100,625,788,271,327,094,335,
313,386,361,619,078,901,838,990,913,051,530,990,836,727,005,071,236,449,394,
977,216,116,688,705,513,899,741,619,608,838,977,315,549,380,487,118,160,289,
433,914,044,236,194,860,599,818,036,641,099,339,898,346,364,276,951,752,068,
996,806,146,253,646,315,392,104,878,001,321,544,266,464,158,314,251,311,770,
726,911,283,369,993,131,091,485,362,715,267,014,622,787,705,425,121,362,987,
627,037,166,735,410,923,706,098,767,216,068,639,341,896,728,915,687,947,205,
277,554,996,711,629,658,219,170,048,876,071,930,163,694,469,796,213,882,648,
314,444,478,638,741,089,177,985,979,459,396,754,468,081,767,460,816,055,379,
080,575,277,640,348,313,222,157,916,681,387,435,063,599,913,931,384,442,169,
860,698,087,884,160,225,216,964,088,551,375,859,959,896,214,124,901,745,428,
473,261,225,836,646,027,204,773,307,130,927,245,300,244,957,200,026,490,792,
115,704,708,134,226,701,465,666,287,331,944,811,322,926,357,233,654,654,700,
264,847,272,407,312,869,649,972,740,572,552,754,764,251,726,248,538,020,690,
672,056,949,023,749,350,929,760,056,526,811,670,783,794,591,559,146,241,341,
535,533,057,212,290,750,814,770,891,488,791,507,212,698,803,508,659,206,182,
594,146,882,081,657,584,191,651,164,697,631,187,097,650,040,249,737,673,443,
788,663,058,160,737,327,381,370,954,169,170,133,838,823,475,128,146,330,170,
470,068,159,454,277,680,075,635,568,343,544,268,023,838,380,733,003,823,373,
281,002,522,510,544,894,057,381,219,009,839,516,576,300,141,704,933,162,186,
640,893,738,317,855,383,524,163,429,765,376,328,917,589,876,573,896,276,653,
996,643,200,416,680,628,846,174,956,453,268,468,237,530,722,399,246,890,769,
187,519,044,307,013,588,123,359,913,202,007,014,428,345,734,658,942,123,338,
349,244,053,591,286,844,758,327,540,599,956,267,531,463,341,807,266,358,299,
940,076,350,827,085,411,366,537,169,430,165,446,985,415,227,725,232,222,950,
949,984,261,396,593,892,704,769,867,860,862,425,759,528,258,484,188,794,722,
806,929,782,258,224,624,784,438,993,865,150,650,743,253,649,913,347,948,577,
979,800,990,488,041,343,366,318,583,158,165,758,059,637,495,682,054,537,847,
074,865,547,659,708,804,195,105,288,864,331,294,628,664,846,078,098,592,827,
383,226,670,879,148,096,639,464,544,813,447,798,185,757,438,043,549,689,105,
135,453,258,610,045,936,692,360,309,982,576,156,829,560,935,982,814,056,902,
923,063,438,620,911,139,012,805,286,682,763,869,772,561,621,493,314,351,593,
490,360,994,152,665,384,426,212,869,659,952,240,793,210,472,843,051,002,094,
623,682,306,019,448,065,427,617,201,630,008,561,096,984,229,848,273,459,623,
196,991,741,117,542,677,899,032,121,979,783,605,032,917,739,342,681,778,674,
693,334,708,295,311,630,943,758,991,913,559,153,120,827,240,008,077,492,914,
380,181,561,429,210,844,470,648,331,243,331,557,894,206,820,299,251,378,638,
102,821,202,734,997,716,407,204,965,913,065,495,290,525,339,005,710,410,844,
274,484,979,882,562,461,477,520,600,598,694,696,158,886,158,880,294,132,259,
179,714,126,028,745,200,920,984,046,565,116,345,467,028,699,296,866,888,318,
647,859,778,684,755,484,785,392,705,655,229,061,818,205,212,321,951,410,100,
185,055,893,618,112,817,748,860,724,626,632,201,091,669,459,540,484,388,723,
546,105,622,016,578,550,970,720,381,245,149,138,116,770,546,134,576,927,240,
261,750,423,089,335,201,251,875,820,306,618,453,297,841,827,156,157,688,256,
555,492,727,136,199,495,712,493,108,248,004,718,636,954,832,310,743,776,723,
177,648,557,973,006,995,997,397,719,573,797,243,566,655,968,009,605,902,678,
537,191,535,083,151,260,580,747,939,482,619,088,905,120,296,220,927,142,270,
982,889,851,824,836,582,443,693,459,552,347,200,496,739,248,510,737,298,185,
069,691,519,675,885,206,104,358,210,648,651,250,206,568,780,789,637,957,916,
035,772,960,709,626,096,573,412,417,106,963,994,909,783,288,826,565,049,613,
125,671,689,452,622,349,280,713,189,623,364,749,551,254,581,598,378,996,907,
473,155,925,860,707,737,960,857,045,234,265,252,209,259,973,479,102,430,329,
796,070,510,990,044,570,341,055,538,046,366,187,492,717,059,759,709,625,110,
357,297,809,561,151,493,813,652,003,040,924,661,051,948,691,236,777,962,549,
899,520,912,326,030,187,350,112,083,791,335,295,126,203,040,744,374,813,609,
673,165,305,168,433,759,618,093,504,030,851,833,047,531,600,682,228,490,805,
896,097,044,169,897,739,457,656,720,864,377,161,570,266,913,486,528,585,936,
744,114,675,466,873,510,008,946,093,743,241,177,929,047,404,157,453,011,123,
409,737,126,824,605,535,901,738,009,829,119,747,820,856,742,795,630,177,546,
491,310,873,246,536,722,813,953,892,984,493,124,953,917,822,230,902,840,174,
557,521,399,022,223,296,824,641,269,189,972,853,408,952,455,955,125,101,429,
911,833,808,389,753,660,490,123,191,251,621,736,493,865,311,060,306,833,774,
584,062,911,159,111,556,817,357,727,969,873,717,361,018,945,092,680,361,496,
918,742,387,047,943,623,072,753,335,522,904,307,890,752,094,330,752,256,951,
509,193,322,431,836,128,347,805,438,025,237,366,652,313,134,856,294,853,984,
231,719,276,492,683,809,079,985,163,745,200,263,444,712,119,844,046,224,443,
943,542,090,171,110,503,853,021,583,886,339,049,774,134,085,079,752,626,547,
182,664,851,879,659,199,589,758,700,346,327,343,809,063,527,078,416,865,154,
340,927,332,499,965,189,083,138,598,206,942,352,813,459,837,720,982,756,699,
650,025,341,021,349,238,429,297,753,191,810,489,852,620,843,625,695,720,332,
235,534,653,331,294,320,736,933,787,118,610,108,294,253,434,017,707,535,733,
816,997,786,188,719,644,511,058,357,988,533,992,038,282,389,832,163,994,520,
313,706,606,044,716,177,947,126,044,386,790,880,541,240,007,376,218,826,931,
808,549,767,014,490,208,695,857,314,275,175,509,208,973,627,945,291,507,221,
431,799,898,279,175,688,311,217,836,656,347,214,721,343,793,408,884,266,351,
912,226,191,440,425,046,516,430,202,876,254,671,152,635,116,496,886,899,255,
001,517,239,417,694,963,634,536,233,565,867,249,497,437,231,472,300,834,980,
714,747,237,182,404,511,301,703,260,351,189,711,948,607,359,662,929,632,751,
210,232,997,747,771,675,267,905,382,586,503,989,360,192,843,543,206,290,091,
302,838,325,241,598,472,359,235,564,731,619,486,588,041,257,741,059,139,488,
161,414,448,118,858,541,841,734,512,415,850,347,142,269,293,060,374,595,860,
146,634,888,616,822,401,149,516,713,681,554,232,090,416,268,583,566,679,207,
054,767,041,801,330,132,149,341,282,969,229,744,099,594,842,104,622,610,385,
434,884,524,470,921,539,564,874,989,736,495,206,935,481,258,707,611,157,670,
824,574,089,246,941,481,883,716,626,122,992,206,453,206,329,775,027,113,896,
348,215,633,731,662,132,683,894,488,625,653,214,502,513,343,904,184,912,731,
868,857,755,552,313,960,561,391,368,657,811,479,418,035,925,793,523,144,121,
372,278,579,363,886,484,553,696,324,146,128,419,696,863,744,049,851,741,546,
088,503,147,606,300,546,376,318,150,460,051,486,945,857,606,704,002,566,684,
704,990,392,922,145,947,023,622,680,417,948,537,925,855,227,928,454,037,640,
759,859,182,120,108,272,065,832,171,561,614,954,860,054,250,551,276,573,986,
069,454,010,174,564,419,912,326,992,519,865,149,644,773,188,964,006,684,293,
269,238,043,486,376,555,388,695,800,024,465,209,396,121,251,467,729,799,933,
874,109,811,065,873,140,828,249,744,466,869,140,520,551,769,426,789,864,421,
598,920,712,467,795,690,045,149,792,032,213,993,758,792,600,650,228,651,526,
109,079,663,501,963,126,030,190,568,402,647,633,520,691,428,145,669,862,371,
806,341,947,452,624,982,583,387,203,184,264,633,514,294,624,956,116,177,003,
436,527,656,212,957,074,171,712,034,381,899,621,619,136,684,615,387,836,189,
055,042,274,784,245,741,402,453,496,439,103,332,084,451,135,003,037,258,921,
080,554,814,747,044,305,257,341,245,652,686,008,323,011,782,043,770,148,563,
440,133,621,295,525,074,963,135,796,067,261,789,255,391,602,453,234,790,726,
197,067,609,310,329,500,542,180,015,523,072,142,630,800,306,983,627,752,246,
373,496,676,187,384,027,673,734,108,303,880,307,225,896,270,777,739,169,085,
802,168,460,621,675,877,043,153,445,710,567,612,257,647,080,604,993,406,485,
774,636,359,955,404,534,854,914,780,219,509,418,487,827,485,097,547,528,754,
544,689,784,127,069,790,794,506,740,649,488,935,626,870,281,026,653,649,323,
717,224,313,787,292,981,414,461,797,866,170,487,251,032,842,962,271,583,550,
534,858,586,386,025,918,595,937,373,917,613,444,658,442,436,124,069,279,246,
572,306,938,595,122,990,988,309,714,926,993,677,474,950,712,738,386,983,180,
626,271,220,808,714,846,032,132,470,357,564,830,734,999,648,137,020,005,357,
056,948,452,041,058,406,737,915,035,993,790,447,942,365,096,796,458,309,841,
256,453,400,661,781,542,938,511,205,512,141,800,479,657,390,389,239,423,954,
284,049,831,707,946,194,106,093,679,149,871,750,320,911,001,449,898,478,398,
842,523,132,641,187,578,424,442,435,707,023,967,257,116,716,565,979,587,112,
833,765,138,647,762,471,643,272,024,092,469,359,588,372,261,027,629,396,875,
710,915,519,065,445,374,637,743,522,375,085,403,081,114,355,803,641,659,505,
342,588,528,471,194,393,639,969,061,219,339,553,726,700,494,161,924,382,352,
903,705,979,376,019,747,434,317,286,715,542,361,518,348,691,601,995,216,832,
560,260,628,456,057,880,622,069,746,778,459,389,726,427,684,935,992,989,823,
179,232,295,902,297,014,035,595,869,008,377,626,690,608,976,126,880,673,184,
649,352,220,767,480,005,059,435,773,498,728,703,278,457,202,082,052,072,702,
058,212,475,857,068,097,354,973,803,067,113,353,278,799,516,012,154,758,570,
229,544,879,362,477,221,204,408,526,055,576,732,824,493,201,984,117,731,010,
138,696,195,945,732,037,260,479,758,107,874,810,682,078,341,338,694,297,860,
266,378,599,915,473,032,786,586,815,675,706,546,186,704,560,811,944,960,083,
027,731,482,838,219,731,660,711,743,593,798,593,550,575,348,735,791,561,198,
947,236,904,757,101,057,945,532,223,352,364,992,786,894,116,624,905,455,751,
349,201,364,764,878,043,639,613,059,392,477,418,024,388,125,722,874,164,917,
335,430,800,534,361,414,297,467,730,656,645,854,986,914,460,890,160,180,284,
093,828,046,435,883,185,110,293,781,880,785,601,034,576,222,792,610,519,958,
036,898,772,992,761,280,629,308,696,837,972,826,497,345,021,127,535,129,162,
179,242,917,340,429,589,078,503,328,528,751,338,442,943,632,290,373,142,793,
847,939,382,511,214,498,378,529,964,173,964,465,345,017,150,119,792,869,093,
431,774,527,404,439,529,147,113,752,841,302,609,547,446,809,782,655,334,928,
489,745,557,498,145,973,279,903,021,217,875,346,507,162,146,376,198,804,442,
205,638,914,819,006,585,192,355,193,627,430,529,604,137,708,474,010,399,167,
366,777,477,303,282,547,881,298,613,261,458,916,241,255,331,692,157,443,811,
662,546,729,784,243,170,946,800,085,940,929,632,337,607,627,058,194,702,443,
409,573,056,814,183,581,641,871,684,860,945,539,983,755,013,371,464,377,513,
472,577,405,929,635,359,176,822,217,190,523,648,927,190,448,292,342,677,833,
634,122,001,300,879,142,126,799,856,967,329,802,613,064,343,008,966,801,925,
553,575,466,070,443,183,735,485,269,619,534,143,819,663,752,291,595,788,943,
687,686,524,293,300,706,768,507,837,373,545,375,620,767,354,875,962,269,943,
997,366,510,495,539,736,490,777,719,969,620,620,570,228,166,544,232,212,448,
458,513,760,223,778,867,674,157,383,300,523,089,405,364,305,140,100,259,821,
058,113,209,247,730,111,156,615,704,011,280,802,210,761,296,682,000,586,427,
416,702,595,345,418,482,396,545,245,841,936,527,650,339,842,303,660,270,123,
225,748,974,320,517,026,650,762,009,009,003,271,221,036,300,048,654,200,942,
498,471,955,149,385,234,200,837,711,516,054,969,008,347,309,459,199,107,517,
103,653,603,291,055,024,489,615,928,434,989,742,840,989,063,039,661,194,196,
955,321,162,742,259,142,162,979,335,083,325,087,795,727,329,834,936,966,476,
025,924,634,237,850,830,207,540,619,465,785,865,882,008,075,403,282,403,699,
700,645,573,909,928,636,307,962,997,474,243,186,512,723,232,341,989,293,204,
434,440,067,278,301,251,311,636,162,572,874,815,994,488,281,344,709,384,114,
279,868,667,970,780,173,115,269,850,832,319,776,085,633,454,403,692,179,184,
480,007,363,132,850,231,938,505,541,822,246,665,334,014,647,704,386,300,417,
558,821,733,103,370,051,081,201,120,685,918,709,201,738,112,233,577,600,999,
419,035,900,037,237,460,233,843,100,336,915,490,022,084,784,369,355,289,971,
888,575,803,467,937,655,632,514,158,138,083,980,887,930,479,674,901,809,365,
117,154,651,888,948,185,800,191,915,461,860,435,590,809,204,302,075,132,223,
695,717,887,219,836,311,283,083,834,431,102,996,751,831,847,767,141,936,640,
259,489,037,129,827,529,951,889,124,217,220,773,470,826,942,961,198,728,444,
544,371,295,407,603,948,375,582,506,609,665,967,787,226,910,667,335,798,103,
437,843,254,062,502,867,306,276,207,139,882,277,872,182,454,042,067,857,760,
885,941,489,578,350,366,277,170,915,578,806,360,799,914,307,161,475,011,550,
815,385,500,908,271,744,461,424,719,332,774,463,598,988,360,269,175,018,224,
694,753,665,884,196,682,037,455,586,720,779,264,338,175,808,505,797,945,947,
187,186,370,383,462,802,880,562,524,903,046,841,595,169,452,185,693,369,349,
281,897,603,189,865,355,436,033,150,966,795,532,563,173,336,970,637,363,505,
671,036,503,967,043,727,896,502,217,980,830,432,795,908,469,212,439,686,409,
986,606,199,248,968,417,213,755,732,336,485,635,603,151,232,692,793,357,431,
015,795,552,923,347,991,459,942,823,638,247,505,441,845,823,684,316,471,131,
894,393,041,745,594,351,704,380,714,043,765,226,514,186,664,909,355,149,065,
010,309,565,566,983,090,435,034,949,943,102,312,981,574,017,985,028,585,737,
366,694,624,162,854,486,255,795,977,047,297,570,279,028,798,476,346,694,844,
101,727,761,245,272,092,482,324,557,358,538,020,898,071,930,719,638,289,448,
436,060,892,610,906,105,521,514,631,130,052,006,973,207,866,298,813,401,591,
846,039,945,092,294,737,146,755,210,406,238,784,467,939,086,089,837,470,819,
764,957,510,191,266,746,827,706,586,135,807,673,948,761,260,324,204,853,147,
155,313,653,758,793,611,045,966,874,451,222,603,500,527,741,546,476,258,624,
156,099,014,588,639,059,293,931,002,730,940,602,824,688,377,433,803,153,617,
687,746,103,665,598,041,437,028,428,463,025,732,415,875,067,125,871,783,212,
532,587,529,340,515,500,643,052,831,557,933,148,200,727,325,814,646,409,065,
424,683,462,765,475,199,038,086,966,163,612,380,707,009,816,514,272,349,574,
080,234,987,208,068,042,977,658,856,450,639,627,234,087,958,110,530,713,325,
318,961,000,724,788,482,723,398,917,305,025,409,524,014,929,394,444,099,685,
257,420,257,189,929,966,328,715,124,936,337,409,206,300,593,874,287,098,269,
169,169,204,852,126,450,828,711,106,366,546,280,199,074,477,235,706,365,655,
817,557,738,891,153,149,538,079,482,407,739,901,871,916,680,862,395,461,499,
356,351,879,726,030,995,555,408,247,788,268,252,781,049,371,732,076,667,944,
847,632,785,028,850,219,706,038,962,827,230,979,350,631,531,660,048,623,817,
923,888,139,191,962,351,986,138,839,923,449,924,851,068,067,670,553,192,169,
932,017,127,968,115,523,141,514,602,845,359,549,360,281,545,950,883,153,996,
751,853,107,585,339,988,509,228,228,756,948,639,652,172,686,567,754,660,177,
483,031,012,772,232,603,033,270,465,279,416,275,742,285,271,336,108,428,826,
696,461,168,153,559,282,742,783,119,611,066,096,324,768,788,854,866,755,413,
281,713,997,316,315,241,762,267,703,302,599,298,617,319,135,834,224,267,773,
610,710,269,972,078,712,133,020,273,826,255,649,144,642,818,908,488,430,188,
918,510,948,861,917,393,562,150,469,835,219,611,860,242,978,911,251,017,595,
811,667,623,150,785,080,622,815,243,060,322,326,591,434,608,565,556,433,621,
563,270,858,401,957,286,365,997,826,814,876,146,079,463,244,341,511,121,478,
993,860,507,808,471,285,605,436,041,901,195,699,837,008,163,519,252,372,884,
656,344,188,685,786,950,489,839,261,644,357,951,623,043,072,014,615,078,470,
539,946,938,089,845,360,967,679,631,292,286,277,619,887,354,316,155,228,211,
655,411,881,083,110,697,688,225,645,653,691,309,510,470,743,585,578,887,697,
286,630,641,428,151,425,031,496,448,403,128,221,737,012,277,229,569,086,031,
807,855,062,961,288,327,694,176,826,687,996,023,502,542,315,532,972,743,003,
049,466,696,286,685,287,447,201,725,265,305,554,154,925,116,365,681,512,766,
826,164,405,300,472,053,590,522,692,877,013,222,195,352,330,867,867,567,770,
481,284,012,494,328,857,126,133,764,027,961,268,227,292,396,952,193,052,179,
402,033,844,585,752,611,916,694,737,782,204,443,804,366,616,370,200,364,988,
470,308,760,715,356,895,389,028,153,110,986,670,619,170,603,691,343,742,800,
385,367,930,010,151,697,174,601,635,855,769,601,271,164,563,160,739,603,556,
961,190,404,778,190,572,061,920,353,532,797,873,026,928,756,844,324,999,783,
046,246,810,641,177,620,296,843,885,852,770,588,681,825,207,727,453,053,531,
038,574,160,448,279,696,533,308,847,984,585,947,611,071,624,638,370,073,580,
800,785,946,805,691,033,400,346,500,436,265,467,372,057,405,788,874,866,632,
318,291,465,007,894,826,591,117,055,921,226,055,839,450,625,380,208,225,109,
198,980,064,282,149,120,271,356,832,800,683,565,334,445,821,025,673,450,891,
448,375,391,404,669,382,145,577,686,284,665,240,742,777,851,330,403,697,621,
638,221,622,581,249,501,534,163,022,456,374,072,426,091,125,316,655,863,108,
259,183,644,259,441,463,376,337,532,624,280,799,681,874,080,855,454,766,444,
254,033,209,587,971,750,857,854,095,960,825,028,941,422,648,162,067,450,591,
552,980,636,482,726,971,230,836,140,161,890,157,338,390,675,225,295,973,836,
686,417,992,029,707,542,815,637,273,652,249,882,269,612,712,428,941,836,589,
240,928,027,524,428,009,236,882,681,046,216,443,221,335,371,118,580,912,934,
964,851,788,317,645,576,018,386,011,824,472,357,932,189,121,311,923,057,849,
816,960,272,503,390,750,011,115,271,787,674,300,384,407,840,899,393,408,572,
989,041,415,002,798,623,487,791,970,915,208,315,419,008,759,869,034,132,228,
665,735,350,932,564,494,684,383,678,797,238,435,288,060,314,820,459,086,833,
235,757,178,771,219,915,492,981,420,267,040,284,025,648,263,891,666,169,543,
666,053,948,126,944,565,101,393,195,617,699,742,870,109,804,356,813,233,470,
688,285,546,708,687,481,738,532,435,241,450,837,973,284,194,678,235,487,794,
314,605,838,077,541,008,765,799,541,041,430,052,601,041,972,496,780,040,361,
057,362,105,356,855,847,958,084,852,642,457,887,060,378,441,415,920,318,220,
915,087,158,654,329,708,172,871,481,440,369,065,802,498,249,698,416,980,841,
810,735,581,414,273,788,041,613,054,945,175,961,032,173,423,002,442,493,014,
249,793,609,954,481,543,552,562,392,826,269,452,529,972,172,307,845,437,675,
691,792,177,310,898,148,206,190,916,232,595,452,515,127,758,710,378,281,360,
127,567,328,981,356,611,082,332,053,816,608,780,041,889,483,161,526,301,418,
713,212,699,257,554,823,918,367,514,064,210,820,251,809,814,620,932,008,935,
203,034,896,443,497,260,118,135,341,121,101,274,046,081,816,516,966,321,736,
033,210,238,887,488,519,070,870,491,446,051,048,013,945,508,960,351,858,789,
970,487,714,007,309,145,916,940,417,846,327,197,964,652,901,266,705,969,437,
129,949,257,374,132,065,500,822,429,237,438,829,185,829,275,285,473,170,679,
954,714,701,988,713,449,828,838,674,835,595,296,694,879,873,202,369,715,042,
542,723,648,859,784,653,891,683,345,597,185,363,347,266,530,999,101,876,039,
819,542,405,471,289,825,687,096,996,804,413,752,448,305,642,776,031,333,993,
847,725,719,652,793,804,854,918,983,612,708,834,909,707,077,064,080,636,128,
110,721,239,748,349,008,476,305,569,242,646,490,282,231,994,722,079,489,856,
098,138,127,180,026,003,601,759,501,515,259,120,468,171,284,469,191,298,639,
181,994,097,887,853,213,851,785,989,131,284,817,123,498,023,872,158,211,567,
630,868,537,263,449,741,938,942,694,790,160,701,718,337,073,634,736,372,870,
482,580,116,954,991,735,184,535,853,070,738,690,702,380,711,209,933,890,974,
176,825,523,026,631,269,771,607,889,627,671,194,347,918,114,425,751,073,251,
893,606,086,319,234,223,527,961,067,719,603,026,683,259,825,679,536,731,332,
713,354,073,005,563,961,893,120,780,263,945,808,717,188,250,724,193,130,540,
509,559,942,294,767,336,451,184,753,400,776,085,857,673,174,417,985,140,356,
084,627,850,785,570,046,369,490,155,338,152,991,496,555,324,660,427,077,186,
776,841,743,034,532,508,274,504,803,271,017,234,486,113,814,884,722,330,968,
748,217,758,451,769,689,679,228,852,541,471,089,189,241,286,058,517,275,413,
442,137,336,543,300,053,418,157,500,739,005,037,553,157,668,116,519,736,529,
056,423,626,743,627,238,036,264,080,749,117,565,989,275,798,029,925,959,704,
108,943,286,377,401,934,751,537,566,987,745,534,182,091,751,546,114,949,595,
036,980,234,250,051,573,940,391,455,138,246,311,674,607,505,752,610,191,969,
125,868,399,965,259,020,665,226,828,317,011,382,024,766,709,039,284,860,065,
793,513,814,173,383,950,747,870,958,569,732,325,400,244,522,560,659,624,738,
027,788,469,059,235,871,465,323,074,617,838,375,296,732,426,132,136,680,515,
833,531,651,919,977,872,808,602,646,185,003,706,686,423,556,529,816,827,626,
127,944,606,326,998,465,623,438,013,618,238,916,907,725,322,807,777,780,511,
828,087,741,531,869,371,729,962,143,693,238,616,866,954,013,074,080,361,525,
536,869,125,288,671,400,884,524,143,488,019,667,982,676,473,972,778,237,323,
463,618,904,804,613,650,376,321,505,059,129,277,588,109,522,610,845,614,017,
349,650,479,358,741,240,469,597,832,296,438,753,080,167,553,091,908,356,598,
022,692,281,100,890,886,312,394,809,391,957,719,260,110,160,537,153,909,147,
033,478,609,699,317,339,525,142,192,541,309,284,455,902,680,090,194,283,258,
319,606,125,392,880,852,626,266,353,632,393,034,917,518,816,027,075,877,817,
470,379,144,913,912,734,822,946,923,642,561,098,780,470,577,278,185,026,706,
543,661,848,889,492,473,977,626,816,929,847,161,258,122,815,400,754,616,611,
114,981,138,160,770,026,751,429,551,666,288,013,109,958,356,984,565,306,155,
457,366,430,865,981,296,033,969,877,625,529,585,518,400,756,487,878,462,856,
926,971,077,379,666,193,531,939,990,130,630,430,750,472,037,424,231,626,719,
346,872,117,267,897,401,396,292,685,652,868,916,041,321,228,164,539,397,032,
500,887,235,942,445,929,639,012,149,335,671,643,575,035,783,444,727,018,744,
207,366,416,204,249,804,088,934,248,362,526,622,847,248,384,538,912,418,718,
211,437,023,875,460,102,115,525,866,762,278,131,553,431,112,139,628,727,910,
082,414,349,838,787,699,628,500,522,326,715,096,507,393,224,669,735,296,730,
689,306,574,424,845,919,057,104,603,552,542,743,431,952,995,526,940,064,037,
908,422,596,753,965,741,574,818,151,234,741,365,950,018,764,632,086,495,717,
412,856,913,211,171,608,867,284,614,529,958,416,404,973,700,781,487,658,033,
803,439,371,798,474,464,359,965,998,101,607,800,133,811,224,415,566,359,394,
068,082,847,816,824,797,512,978,948,718,569,967,882,047,877,854,859,232,991,
211,209,769,272,093,009,036,411,586,330,249,895,343,607,515,899,231,210,803,
468,630,987,612,690,008,932,743,339,573,741,045,134,914,197,798,170,169,687,
083,023,900,413,299,198,675,669,234,752,432,119,246,882,708,317,624,035,544,
046,188,247,169,087,466,985,190,204,399,226,627,697,752,282,491,257,773,036,
846,622,121,446,270,527,051,230,178,648,610,342,944,939,427,921,453,015,213,
916,186,836,208,653,769,686,943,853,094,627,341,049,883,731,059,137,385,378,
602,567,087,201,753,787,309,509,364,132,023,438,614,508,577,079,647,205,248,
769,047,531,748,235,083,498,241,326,125,550,005,109,562,080,896,974,253,388,
747,695,201,863,304,174,115,712,789,107,064,160,699,798,567,629,556,726,878,
499,799,500,343,199,763,657,012,606,947,621,563,841,234,552,216,013,797,468,
793,020,371,261,152,745,870,864,083,047,031,747,775,515,685,951,593,080,732,
629,349,726,680,617,656,051,026,241,626,869,606,334,744,047,108,859,712,062,
174,395,888,501,124,461,873,338,968,187,376,768,965,066,720,848,411,747,467,
130,536,234,099,213,593,962,935,840,483,732,214,891,596,603,717,311,903,372,
784,066,633,788,385,300,745,128,125,767,643,858,610,640,618,953,798,728,349,
390,093,699,627,116,156,471,997,561,180,820,710,921,847,499,302,916,926,462,
707,487,386,337,513,572,996,396,971,032,027,671,901,486,696,752,200,580,953,
797,334,019,595,261,025,928,706,518,525,295,500,098,396,806,168,262,253,303,
800,468,571,378,532,166,182,482,516,715,551,849,739,413,026,985,498,447,701,
218,337,990,960,847,648,010,509,414,486,388,639,677,906,634,332,073,714,399,
453,277,207,155,740,186,661,882,193,718,871,118,608,356,371,512,661,015,958,
285,360,344,737,206,965,415,420,651,659,025,660,626,852,432,052,938,166,100,
116,206,491,421,650,951,517,209,860,064,121,059,197,722,914,167,343,715,295,
985,392,570,405,546,761,183,753,014,090,226,533,550,453,916,313,133,581,411,
543,748,274,199,823,368,621,899,770,729,549,226,012,016,877,113,601,485,625,
114,730,598,036,915,362,388,789,054,107,019,328,564,359,673,516,100,102,711,
247,015,863,254,311,997,963,291,863,872,384,538,241,126,716,457,119,914,447,
453,826,954,633,648,257,463,538,393,091,637,332,392,776,111,577,635,681,546,
956,241,531,454,266,084,782,969,332,407,320,449,532,520,523,137,336,690,449,
064,892,383,635,390,289,833,799,998,278,125,940,370,576,304,655,622,740,577,
537,762,635,321,421,001,854,758,543,628,565,363,157,626,547,083,244,660,525,
921,814,942,758,505,211,974,817,548,451,927,873,079,659,099,290,804,564,476,
361,575,645,370,622,792,551,027,780,762,238,981,529,506,827,657,430,013,822,
000,486,099,925,346,251,135,529,602,326,814,522,295,684,621,865,291,422,171,
652,093,812,775,029,911,726,109,563,329,181,381,489,525,983,016,876,710,036,
904,948,279,932,061,654,429,399,237,593,199,526,766,409,965,626,629,096,579,
345,088,699,809,299,549,144,984,716,487,069,397,551,125,757,658,763,744,424,
500,584,813,586,319,706,416,858,958,547,719,116,104,349,967,754,530,537,417,
423,078,203,125,241,887,964,841,721,802,681,354,055,574,663,525,726,267,921,
074,082,694,798,416,605,666,637,736,553,419,662,824,770,437,115,633,428,518,
106,812,356,909,140,468,817,909,145,575,610,690,811,144,856,415,559,045,304,
493,823,456,025,012,149,577,445,499,632,340,981,505,811,880,263,716,582,356,
396,092,949,834,589,597,502,760,957,991,204,199,710,774,632,681,938,487,173,
006,324,918,736,598,098,725,072,059,398,978,881,139,427,568,573,885,062,427,
214,439,582,491,458,017,456,042,950,529,482,970,037,205,510,891,078,334,437,
903,577,145,363,666,996,787,178,312,582,391,871,151,781,045,712,851,702,081,
807,828,814,757,568,406,371,524,504,407,052,249,347,017,317,627,429,803,492,
410,575,817,112,113,904,057,537,334,831,216,876,152,144,269,835,343,260,046,
703,857,695,171,443,964,429,733,443,943,792,819,040,713,429,088,171,101,183,
504,670,190,015,531,466,939,292,685,015,398,141,632,536,528,457,386,543,957,
072,023,990,429,447,080,672,149,270,759,215,176,015,280,240,274,344,891,686,
566,772,761,841,667,620,182,834,707,136,049,258,202,012,723,629,166,593,462,
731,160,831,517,959,865,686,666,989,868,461,496,919,549,586,654,795,745,178,
098,740,581,974,897,473,180,195,228,256,286,170,153,347,859,241,829,386,827,
229,817,501,078,999,448,135,221,466,498,920,022,610,581,249,711,764,900,861,
543,531,025,575,665,312,358,004,963,258,589,783,291,683,955,421,855,582,137,
459,133,777,310,934,203,184,936,567,938,504,491,349,955,372,833,135,442,010,
610,864,443,793,406,421,635,793,246,930,517,296,383,240,952,461,833,571,482,
476,179,062,618,907,539,209,807,550,789,198,041,655,368,175,520,433,987,954,
843,169,522,825,876,144,705,894,924,723,669,479,026,575,112,034,384,795,060,
971,803,166,424,764,616,297,043,784,059,593,890,788,820,157,507,611,414,235,
003,533,769,592,888,677,252,594,916,057,942,664,097,842,109,212,741,820,687,
303,789,477,211,703,862,979,491,520,666,696,799,892,801,108,189,068,847,596,
804,094,769,678,889,827,482,420,552,030,971,347,274,234,349,206,873,657,722,
760,001,490,039,320,417,365,615,917,614,505,274,705,299,770,656,083,823,951,
060,471,383,060,080,423,947,919,402,668,751,900,384,248,973,492,312,858,122,
728,572,149,906,525,486,787,162,399,465,980,434,853,214,477,552,242,699,322,
803,338,240,802,052,988,087,146,531,623,313,263,693,652,953,454,927,717,071,
987,375,222,346,641,749,878,918,880,269,883,189,200,366,456,519,806,009,046,
094,978,237,120,864,174,942,578,000,728,090,926,044,300,924,747,985,646,362,
080,698,214,486,066,129,145,826,204,439,527,185,258,254,034,675,447,661,375,
829,113,054,291,997,972,677,908,798,337,193,008,354,504,429,998,731,975,285,
488,195,540,883,757,458,229,113,561,798,960,903,025,660,206,532,332,856,629,
883,471,287,614,805,793,629,198,792,085,062,187,505,279,064,532,216,185,049,
897,400,388,278,161,956,494,779,538,752,609,213,675,270,444,604,773,043,374,
863,491,607,222,865,302,952,894,221,236,121,811,288,162,607,695,726,258,446,
270,816,828,898,037,237,197,104,309,839,857,810,757,719,881,748,599,246,806,
991,901,364,228,184,035,442,038,723,469,477,099,880,155,620,376,677,755,897,
774,688,078,840,048,168,725,813,808,237,414,914,586,875,037,469,781,569,503,
073,858,347,176,811,694,344,551,931,691,536,214,121,947,812,419,620,509,442,
549,875,111,580,310,787,544,604,101,818,941,051,896,116,059,514,055,025,341,
854,352,757,016,688,737,734,282,445,225,479,757,158,514,642,530,498,832,658,
696,678,609,613,844,808,746,967,668,619,215,110,295,071,952,416,556,256,665,
367,380,799,342,075,414,519,297,645,515,066,489,003,043,769,701,126,442,256,
736,721,020,714,777,487,385,230,190,374,831,779,361,371,165,127,109,229,261,
352,791,792,280,085,059,416,911,080,904,044,567,876,064,152,716,737,864,160,
429,093,936,294,451,142,839,861,138,108,035,863,377,931,819,250,584,643,101,
343,540,850,523,445,710,117,513,404,788,914,777,528,224,849,089,889,557,881,
753,567,577,099,967,322,658,937,216,435,391,157,487,773,705,943,454,191,617,
396,112,129,400,634,626,642,193,987,594,685,512,720,131,926,120,023,366,835,
038,230,831,109,721,224,306,248,272,302,520,089,165,740,388,441,259,497,559,
746,603,650,630,943,065,688,217,033,328,637,945,025,575,899,355,646,849,453,
504,930,290,254,345,201,351,198,394,338,637,542,489,145,793,192,789,356,346,
782,554,204,261,639,706,621,135,196,531,608,354,576,571,586,656,956,777,025,
812,983,633,485,009,901,579,782,311,729,611,928,576,892,460,239,481,381,116,
586,207,756,142,021,595,253,121,948,333,452,006,149,066,762,397,829,443,138,
603,646,616,669,459,730,124,526,542,384,883,216,783,029,577,514,883,453,293,
911,673,544,488,030,498,177,158,327,611,525,748,462,995,949,877,097,738,356,
964,739,379,111,175,095,157,889,875,910,816,335,331,954,101,519,045,257,692,
739,657,064,944,578,401,948,238,420,600,348,204,622,102,533,533,943,335,106,
476,741,705,176,711,681,895,231,317,847,472,590,514,999,908,273,189,891,186,
445,721,625,964,123,765,266,450,859,544,620,975,033,443,789,257,312,692,203,
659,622,241,319,416,110,151,000,933,187,109,182,882,780,367,791,986,306,733,
988,321,207,092,476,904,568,296,960,248,575,990,816,012,202,458,116,007,181,
183,371,296,091,887,218,128,096,082,282,580,970,873,979,571,344,910,991,670,
764,281,193,453,572,558,936,160,481,892,291,906,425,569,071,155,555,839,693,
895,396,763,708,934,604,741,594,102,948,120,467,628,657,919,789,691,627,401,
434,494,894,577,433,863,668,833,442,948,322,480,219,588,424,216,102,328,258,
599,122,520,868,955,478,532,054,297,327,757,927,527,689,370,392,591,091,397,
494,471,427,142,292,488,794,875,732,085,070,315,019,074,978,052,253,999,395,
422,012,336,071,761,012,785,603,260,732,383,819,878,742,020,413,908,113,648,
838,604,287,505,580,972,163,820,323,599,143,529,646,805,199,996,983,765,486,
239,651,959,614,236,266,598,663,148,982,667,378,230,635,360,198,460,620,878,
217,612,749,135,856,682,338,659,251,634,036,362,576,544,807,869,256,746,419,
868,437,943,510,714,586,482,089,720,924,915,850,850,116,598,844,261,389,377,
367,034,193,116,129,486,300,557,961,553,919,172,294,681,996,678,015,974,684,
744,948,387,925,460,744,499,661,422,489,255,682,457,315,909,897,820,881,677,
796,916,500,602,803,737,713,145,309,504,369,501,437,850,015,800,972,974,805,
089,720,007,227,791,513,412,307,972,288,672,155,128,991,860,607,331,794,992,
142,787,348,497,313,371,717,810,677,952,375,852,368,446,355,954,153,124,463,
780,544,545,803,189,850,224,815,202,054,543,724,457,182,899,647,063,558,799,
532,773,177,041,404,497,149,727,712,065,943,739,214,366,107,038,566,902,048,
115,396,373,652,413,244,631,951,593,197,845,920,179,965,862,116,044,738,709,
611,977,502,949,447,955,758,934,594,123,209,667,913,299,233,714,141,179,704,
264,294,585,596,017,745,589,767,616,480,065,449,963,276,677,714,358,914,447,
072,580,812,947,399,135,578,014,721,791,429,010,539,241,595,705,661,512,732,
501,369,747,128,942,368,842,097,620,345,925,641,139,820,219,493,622,887,691,
857,837,545,218,807,254,545,813,365,343,442,812,045,766,191,048,803,542,605,
229,145,857,189,424,114,811,297,542,684,188,002,504,224,998,293,063,748,128,
795,763,280,980,451,292,788,792,636,735,172,819,242,709,837,205,080,951,593,
429,165,928,607,576,611,159,256,612,403,645,229,283,612,195,216,842,099,247,
683,023,183,183,830,427,644,107,836,764,742,711,698,513,117,702,680,354,407,
114,880,765,915,265,546,612,723,982,120,822,376,483,847,511,366,988,106,625,
620,136,973,127,722,119,916,781,006,833,925,196,091,250,615,296,538,786,790,
753,058,332,276,865,179,315,386,726,344,681,479,542,438,945,046,526,494,713,
956,829,350,745,315,747,543,804,882,635,033,837,183,730,695,349,542,507,886,
761,612,627,627,404,897,456,563,368,726,379,117,097,695,597,704,575,485,913,
260,653,684,489,269,974,661,308,118,347,893,429,617,430,650,934,607,896,900,
400,534,896,973,819,265,036,168,292,214,288,256,920,214,588,153,945,836,189,
595,886,748,509,339,838,213,322,879,682,298,260,030,442,988,911,993,407,080,
187,863,885,921,642,317,809,159,956,556,426,961,232,862,549,893,000,080,456,
850,123,799,947,859,930,742,680,683,269,590,491,481,206,293,741,277,710,045,
824,327,645,175,565,837,159,250,692,047,874,351,144,002,992,730,305,767,975,
621,140,252,822,665,227,673,511,011,862,913,454,206,712,514,709,601,137,103,
186,366,011,400,557,147,241,716,025,373,521,607,195,928,296,333,628,741,434,
089,865,690,393,856,401,023,333,236,152,822,322,537,663,546,435,518,311,119,
997,275,166,164,781,777,314,773,165,259,728,448,750,160,049,532,721,066,717,
774,962,752,119,374,759,419,210,328,117,244,847,831,150,746,150,230,322,796,
921,998,374,369,955,316,225,998,772,402,053,856,789,542,283,549,787,620,966,
033,538,509,498,738,659,636,479,651,821,075,785,400,239,238,432,606,236,272,
227,600,858,759,202,501,826,250,138,143,389,034,359,380,947,800,293,530,065,
605,235,917,892,668,817,337,817,059,623,209,406,091,180,690,486,078,827,094,
068,709,552,922,331,103,033,177,905,365,005,762,583,249,938,732,225,642,146,
566,168,384,038,508,999,395,847,195,865,544,895,904,793,407,214,314,606,864,
406,840,976,374,994,561,135,471,122,393,066,444,504,353,890,088,955,341,241,
452,562,174,558,649,122,093,950,952,056,826,975,887,021,530,380,242,748,086,
576,027,061,831,368,519,955,956,360,561,004,716,727,330,567,082,417,684,086,
507,464,948,569,616,045,855,648,823,296,599,938,345,080,721,638,593,765,117,
093,347,142,198,793,874,072,612,617,519,482,052,425,531,058,029,484,282,869,
586,936,513,593,586,582,014,519,560,000,487,188,923,968,746,805,002,549,774,
193,026,267,138,860,239,670,477,007,421,110,904,158,892,961,319,041,018,357,
058,649,903,228,212,877,912,356,655,778,830,164,607,981,390,473,005,783,151,
061,844,344,903,848,578,156,471,423,279,142,725,898,541,973,331,138,295,590,
705,187,490,601,165,466,607,521,009,511,717,642,695,276,776,212,393,155,718,
380,188,757,898,351,476,343,140,475,734,537,302,267,806,036,402,070,684,152,
723,284,713,675,978,900,289,121,221,606,885,458,583,805,085,623,090,034,835,
610,628,401,148,175,627,455,198,679,516,891,288,606,533,757,616,548,920,359,
912,058,315,648,133,794,580,695,121,681,985,868,964,426,837,085,741,890,402,
112,765,837,010,547,874,808,373,332,417,578,752,742,839,600,058,087,869,214,
266,104,747,533,688,976,431,106,726,076,121,528,195,254,501,723,847,806,267,
737,857,138,268,513,414,764,167,747,929,282,130,826,530,984,622,383,589,965,
545,879,242,782,477,866,176,886,482,398,932,513,033,340,837,327,969,295,657,
620,827,448,591,422,554,965,352,137,024,480,643,717,783,094,750,307,002,084,
150,607,022,056,628,497,946,583,836,604,688,562,298,797,931,252,792,763,431,
671,348,419,597,319,519,123,013,040,364,037,626,634,327,258,233,907,006,546,
481,013,829,044,380,155,761,212,950,478,483,142,902,545,112,142,196,969,163,
693,538,317,183,838,840,039,211,215,849,912,594,855,839,231,690,250,165,081,
823,293,315,553,514,210,318,160,718,952,856,442,619,607,153,791,641,321,013,
192,524,195,359,414,087,713,765,530,452,398,568,420,761,119,226,744,864,327,
854,473,521,564,498,984,503,756,266,197,400,027,055,447,358,095,805,992,312,
441,713,708,382,127,871,647,476,658,541,851,921,629,363,515,738,334,477,255,
275,028,028,517,755,447,379,865,240,791,677,499,774,745,019,650,612,078,219,
690,918,570,500,868,161,886,922,545,502,911,173,180,891,657,565,609,733,714,
155,515,453,219,199,031,574,279,440,138,374,035,220,563,419,035,485,397,449,
056,553,432,210,380,941,597,979,431,026,093,897,048,114,178,826,398,251,434,
423,167,142,329,842,294,056,734,508,379,047,622,330,969,332,380,764,182,361,
350,114,278,494,973,400,374,539,205,044,487,089,510,007,720,115,957,340,605,
816,817,534,057,295,075,184,877,837,643,872,465,581,571,725,196,139,744,915,
559,876,879,866,622,890,519,410,141,884,720,066,959,026,354,911,869,985,552,
774,647,534,253,109,881,222,117,106,984,104,900,052,942,167,161,687,316,933,
074,481,354,105,264,619,914,159,964,826,142,785,082,507,269,111,401,846,056,
080,357,542,105,008,029,495,126,362,064,594,600,305,771,005,936,356,005,568,
348,106,609,155,037,748,427,412,233,351,619,041,658,369,174,008,097,816,201,
707,744,216,695,814,798,489,139,468,162,527,686,153,818,107,502,932,833,255,
694,897,810,914,512,762,282,548,446,184,972,492,709,386,381,754,887,754,106,
020,691,970,049,807,734,644,758,840,815,215,314,861,766,699,607,667,350,211,
134,286,037,941,161,595,418,664,223,971,774,230,809,736,870,417,031,719,096,
583,617,089,830,069,581,191,153,112,317,571,450,385,771,399,500,085,020,652,
380,677,168,706,213,648,589,637,549,811,508,337,815,392,158,477,111,222,779,
231,199,113,625,775,054,346,713,036,322,662,982,843,235,331,688,404,393,523,
751,396,256,747,680,169,419,441,872,089,578,589,569,833,610,888,319,600,463,
227,149,670,254,362,179,434,096,582,963,240,822,628,036,608,758,099,377,444,
517,813,348,788,000,870,845,780,454,736,744,456,350,424,509,330,273,565,225,
439,410,834,423,018,100,668,973,690,590,694,161,359,729,222,181,358,673,566,
976,787,065,969,635,873,904,994,392,782,253,320,392,110,369,837,017,168,615,
884,143,446,963,319,227,546,662,726,119,384,221,971,658,662,238,121,945,365,
170,003,312,567,251,762,470,013,169,902,009,688,199,406,703,339,756,709,690,
267,592,599,709,380,953,718,980,212,694,478,977,855,325,342,076,759,167,712,
789,074,462,990,911,778,549,939,740,744,765,736,223,109,484,001,876,565,671,
356,870,660,886,426,542,642,143,486,709,799,396,041,584,767,897,696,379,047,
193,478,708,147,296,638,120,061,409,250,655,248,470,898,744,069,463,148,787,
013,538,644,597,119,672,824,402,541,363,365,959,001,849,209,934,381,478,646,
236,579,055,604,630,357,484,568,448,252,834,582,396,166,574,622,202,309,122,
474,329,817,025,338,117,109,920,379,489,704,181,834,841,630,364,034,483,504,
977,934,756,682,860,144,280,351,836,579,182,067,861,765,197,027,390,706,836,
937,396,349,142,221,641,463,123,341,988,244,122,511,657,396,414,233,911,378,
029,466,600,969,239,431,094,408,004,773,218,734,403,688,045,508,396,878,810,
285,861,242,613,149,551,194,903,076,237,253,290,289,071,587,121,026,053,980,
139,610,379,954,112,907,292,499,340,937,036,120,123,765,916,900,018,227,094,
722,831,499,714,166,421,477,111,831,063,096,778,123,513,696,919,208,240,150,
828,061,315,091,448,825,856,587,090,329,717,324,375,305,457,347,263,125,033,
350,696,012,421,930,248,909,834,472,606,589,383,195,631,732,357,100,974,300,
700,110,301,213,593,231,287,649,535,839,212,833,396,296,868,864,210,471,405,
058,246,519,274,961,941,461,293,103,936,697,750,156,663,312,992,182,206,150,
512,529,215,579,749,877,339,718,147,966,358,072,686,336,066,218,970,097,192,
896,880,736,665,671,595,078,852,075,849,677,130,354,278,562,418,939,888,932,
411,412,637,432,269,469,106,315,287,470,776,835,232,662,311,212,348,484,988,
199,417,306,326,521,392,957,174,147,942,722,536,398,189,102,516,954,557,198,
256,092,339,725,817,549,212,775,729,107,806,170,350,753,331,257,116,044,861,
339,038,805,961,145,847,767,866,380,538,699,482,732,112,091,395,376,141,135,
121,304,231,458,129,359,003,988,289,796,447,934,725,520,769,822,625,598,647,
418,899,015,234,930,495,751,715,043,999,692,937,273,103,440,588,303,737,024,
936,804,764,096,138,044,887,947,967,743,465,612,478,590,008,163,088,292,730,
290,303,209,587,530,296,478,815,715,234,371,530,258,379,879,586,118,325,360,
510,954,908,724,714,962,001,047,964,541,544,874,228,532,838,131,068,676,427,
851,194,549,743,732,941,484,925,463,730,237,595,529,392,103,401,979,891,363,
242,204,968,878,999,731,591,007,753,959,380,704,750,596,215,192,130,556,436,
963,471,224,780,283,465,042,515,907,853,799,158,203,474,453,975,267,272,638,
594,108,432,433,665,398,056,585,712,025,680,106,849,396,208,902,525,385,364,
098,521,655,688,531,838,417,096,662,820,871,491,698,044,202,918,202,400,538,
863,711,096,802,157,197,884,984,833,988,755,255,854,246,656,445,963,746,899,
470,201,097,172,581,737,638,482,043,337,476,369,192,305,304,321,076,392,033,
093,624,367,230,586,870,424,963,447,772,968,154,490,557,788,118,762,947,854,
469,970,187,844,813,003,716,973,955,771,032,063,604,901,880,620,587,723,762,
519,371,334,036,146,105,291,756,325,292,604,152,217,608,018,170,961,863,407,
678,419,967,192,932,646,724,210,103,928,834,705,446,824,314,424,234,547,858,
554,714,297,602,067,575,603,586,980,106,521,189,260,627,949,358,602,732,173,
675,187,565,322,918,901,838,217,944,138,210,855,045,077,025,397,431,195,027,
832,388,903,503,015,486,656,656,529,647,484,872,151,128,276,442,777,972,337,
948,415,447,341,376,066,054,706,722,122,075,544,321,506,983,432,143,701,572,
700,384,816,930,205,674,744,912,812,807,177,802,765,875,258,336,004,609,564,
335,990,741,526,762,206,109,947,238,658,778,586,040,976,784,198,854,761,002,
274,483,355,076,291,035,838,937,352,311,506,131,430,552,871,169,265,915,928,
143,079,067,381,266,787,567,347,147,759,241,422,461,990,775,392,361,878,667,
198,874,619,695,239,447,862,573,976,344,591,581,911,999,553,727,316,737,672,
730,426,582,264,366,033,049,875,151,353,836,629,129,673,555,488,977,108,065,
629,215,851,349,093,587,279,084,414,945,456,514,649,513,630,686,956,858,461,
863,596,593,565,912,331,114,408,732,346,854,874,289,596,625,681,938,706,244,
791,207,582,592,882,922,792,750,538,596,659,555,258,728,550,908,822,386,181,
945,078,632,977,801,459,118,042,507,052,385,341,829,066,801,138,950,448,748,
878,860,682,807,527,027,618,637,239,034,158,207,764,887,413,802,555,808,260,
393,992,281,024,677,507,181,948,509,280,690,653,602,322,725,010,954,919,100,
982,579,829,091,745,243,790,688,845,812,944,028,456,180,651,230,863,292,219,
674,223,390,678,164,179,834,529,307,714,729,282,512,398,850,174,053,511,267,
032,757,645,399,942,920,669,357,039,493,322,603,109,180,246,374,950,349,250,
243,937,565,944,396,363,103,366,839,610,644,313,020,532,508,943,375,366,713,
644,850,539,569,043,789,735,830,265,514,566,898,304,545,305,256,096,971,628,
520,825,430,372,915,686,842,887,470,919,569,581,014,434,795,363,191,350,567,
942,422,191,718,493,620,355,945,989,107,213,025,773,676,076,184,733,774,587,
825,494,342,259,902,018,430,799,860,235,926,200,735,871,574,802,259,736,812,
065,087,259,018,573,315,538,419,168,122,292,383,226,297,445,396,297,763,177,
424,582,649,584,117,088,614,843,016,322,923,452,022,370,809,269,570,740,825,
916,299,637,900,646,616,162,035,003,228,998,389,305,553,154,869,679,575,829,
601,453,136,212,362,758,593,262,431,882,915,600,008,528,507,428,398,551,302,
612,924,889,102,049,769,227,720,824,315,547,072,798,047,093,407,284,651,022,
993,111,806,468,808,903,573,906,341,525,779,109,066,472,212,475,793,783,362,
165,748,682,713,853,022,872,179,571,798,325,251,158,341,991,121,813,009,825,
193,295,677,349,481,321,380,201,238,449,968,743,332,626,050,367,073,435,269,
049,255,258,788,906,563,206,684,479,582,830,869,524,344,062,020,177,763,933,
831,355,779,441,925,706,157,180,652,237,954,139,893,426,860,414,369,190,475,
408,485,987,798,911,605,268,898,343,844,783,736,197,503,332,078,762,969,505,
440,314,533,653,952,364,597,860,038,285,169,279,722,654,374,304,701,379,531,
854,837,877,909,131,665,704,964,623,048,058,711,377,128,812,355,901,496,266,
472,569,197,793,544,058,750,746,757,360,044,604,038,465,873,929,111,056,652,
552,252,176,755,364,253,574,580,129,047,920,398,321,076,831,841,036,388,241,
519,331,095,421,480,464,677,624,690,893,543,404,840,557,002,617,548,793,442,
166,173,419,644,640,713,738,550,388,183,703,235,774,775,447,321,734,282,371,
279,897,338,392,633,614,151,220,079,196,090,069,687,403,704,379,645,530,917,
186,943,270,747,381,620,301,230,013,822,296,476,028,899,713,870,444,908,940,
125,497,916,876,966,905,690,770,037,337,254,464,741,530,217,527,816,730,309,
869,034,556,361,996,242,866,842,959,187,621,050,891,818,907,637,487,760,774,
527,510,359,540,043,698,319,866,342,170,289,316,317,938,191,243,992,480,665,
145,874,906,225,872,832,760,470,611,309,173,908,369,306,073,674,837,463,284,
629,396,020,013,422,674,686,687,189,009,015,002,455,592,674,400,141,453,203,
912,713,024,686,154,241,870,888,827,693,669,621,600,651,808,387,462,156,621,
615,853,509,632,349,521,283,831,222,580,533,048,566,681,481,505,401,576,783,
054,030,584,935,308,168,566,690,450,068,143,130,091,812,666,020,863,321,037,
664,004,723,418,016,969,630,293,453,401,668,134,500,341,064,582,435,131,176,
156,989,107,970,097,406,581,513,971,456,806,590,251,722,391,654,823,237,986,
917,893,074,536,887,918,009,026,147,427,089,310,810,943,372,888,181,301,691,
456,671,492,417,063,483,189,250,360,623,553,697,974,401,704,990,563,929,012,
585,620,950,715,716,771,471,600,852,864,554,349,732,752,327,129,309,387,611,
719,680,643,557,207,688,735,692,931,506,957,918,928,779,791,300,635,998,025,
751,302,747,301,399,093,055,309,139,883,636,127,244,493,098,344,563,448,694,
380,922,247,244,096,458,537,905,822,829,865,097,405,935,403,602,907,922,733,
816,184,735,118,231,942,320,324,477,878,494,693,785,060,124,238,027,342,358,
281,087,437,863,262,353,417,633,296,460,049,704,689,209,183,252,201,433,655,
625,958,450,606,616,931,356,692,032,117,204,695,747,381,281,991,307,646,248,
255,591,193,086,935,265,287,966,923,298,221,718,455,083,056,248,509,459,085,
439,601,733,198,627,571,819,342,796,815,295,761,784,069,186,257,128,283,959,
229,263,460,113,557,229,326,741,292,736,533,971,713,942,098,955,165,933,652,
101,359,119,525,887,564,351,700,625,566,527,597,818,883,971,199,347,689,546,
430,877,730,851,663,025,124,072,712,231,094,548,928,381,430,627,683,921,505,
913,710,727,994,438,451,771,837,472,532,212,636,539,508,636,955,515,077,611,
582,483,536,840,378,826,017,079,845,138,240,405,241,733,978,980,666,239,235,
462,885,453,859,034,094,226,355,974,159,326,993,887,023,218,907,836,529,221,
340,758,898,311,214,690,766,556,209,790,986,160,959,112,984,300,445,971,216,
843,799,089,913,325,421,976,947,910,300,767,559,954,068,524,388,785,696,137,
873,497,055,145,408,493,396,828,326,368,364,622,536,140,170,688,348,197,905,
565,567,803,819,042,268,940,825,648,079,753,777,561,925,128,779,940,736,150,
227,902,622,479,236,844,283,613,568,344,084,215,148,952,707,016,946,550,824,
868,199,177,204,872,903,807,221,063,982,217,643,599,661,334,754,340,428,354,
122,279,198,352,856,832,553,130,902,397,655,672,094,763,937,447,038,018,181,
229,041,241,919,299,050,058,125,629,680,063,639,413,918,771,124,191,764,152,
374,931,066,268,773,860,701,957,116,603,303,509,339,520,835,596,675,531,836,
632,653,848,581,941,083,965,723,099,647,300,937,640,932,308,400,107,390,566,
871,421,627,844,865,474,794,118,124,772,119,367,720,578,411,275,302,563,178,
183,482,902,354,825,842,503,151,146,048,163,884,868,792,800,687,702,870,142,
823,612,475,565,420,383,382,969,465,707,754,278,759,714,305,755,360,942,343,
447,882,489,408,413,461,444,416,967,208,711,388,032,017,716,748,524,449,100,
238,940,858,232,229,349,347,410,783,732,126,581,119,855,808,915,460,155,903,
213,552,497,054,412,426,638,556,869,992,639,354,859,665,447,808,040,836,751,
630,401,666,000,627,396,210,137,616,185,039,551,667,146,864,912,359,935,863,
725,781,838,519,101,874,313,597,916,584,787,462,951,043,407,311,301,345,423,
487,397,146,617,917,780,675,116,385,799,423,395,658,718,514,917,702,842,301,
753,833,062,367,388,841,250,547,942,697,679,505,109,719,070,712,434,771,443,
006,807,624,004,315,928,426,189,153,456,891,918,812,030,043,245,905,674,221,
591,931,552,190,037,917,466,076,047,645,297,992,662,955,292,677,782,493,048,
921,851,777,161,143,199,514,868,365,004,775,819,963,883,069,812,182,964,632,
393,642,888,504,154,498,937,534,942,378,471,585,266,107,812,315,929,894,080,
815,197,761,091,094,321,753,143,936,435,029,797,288,253,652,403,336,743,436,
408,404,495,141,644,146,321,192,753,766,951,295,610,804,201,872,017,614,503,
755,183,290,382,254,815,787,480,802,334,706,064,317,212,193,318,954,908,740,
813,275,596,183,214,741,701,076,118,593,650,012,422,863,923,520,880,218,612,
063,220,594,355,576,296,861,847,830,685,226,433,192,706,789,690,707,147,883,
879,577,456,840,468,479,093,912,358,416,143,676,531,087,815,289,958,017,650,
232,601,945,241,537,063,181,678,044,184,920,104,023,969,862,074,982,768,011,
540,148,655,855,042,014,677,252,487,910,314,409,587,814,723,539,993,259,248,
271,742,921,380,768,388,464,077,692,629,011,880,665,240,653,618,786,576,374,
090,409,375,583,322,617,962,165,250,766,292,238,098,101,512,062,440,458,998,
200,858,254,112,093,448,978,020,002,437,169,667,901,512,764,577,581,271,098,
928,618,741,534,397,083,675,712,477,624,561,951,267,000,181,070,607,249,857,
377,105,447,846,406,862,900,475,095,702,705,268,104,903,790,741,063,942,932,
454,649,338,373,586,886,750,837,776,264,234,756,514,586,947,609,009,395,523,
604,637,478,736,824,807,002,190,037,181,287,132,772,176,412,740,317,299,805,
571,474,449,199,605,705,841,667,343,664,033,096,939,595,107,009,891,136,919,
113,921,358,823,051,004,019,394,657,941,616,191,755,668,337,548,949,900,841,
269,208,748,874,932,132,448,182,170,499,579,730,333,591,327,285,451,080,346,
287,771,144,769,936,937,338,424,502,946,571,177,863,133,703,482,382,318,124,
516,489,704,424,219,573,158,764,567,367,520,797,931,494,406,914,464,822,945,
991,952,551,424,368,093,610,922,011,694,529,183,076,638,742,188,864,169,429,
012,632,752,891,930,890,310,249,347,797,696,123,166,099,680,758,841,821,212,
175,802,168,119,523,846,515,589,795,444,380,326,396,352,507,670,734,806,372,
661,483,225,511,989,255,549,798,029,046,130,012,476,737,952,688,557,503,950,
582,274,095,622,565,036,284,751,808,070,893,188,075,278,606,806,414,765,826,
929,903,948,669,184,147,911,380,357,773,379,871,702,985,397,720,734,114,794,
834,319,842,748,371,222,841,893,188,024,276,168,738,477,235,514,933,068,083,
868,295,922,542,659,359,284,373,418,422,252,636,326,492,328,616,170,596,331,
577,764,905,020,941,026,096,216,596,370,508,194,493,598,583,049,447,948,504,
475,730,735,070,991,601,419,232,153,542,314,413,497,910,320,929,586,271,553,
120,111,934,420,824,967,094,292,671,278,726,469,034,094,455,921,992,854,372,
372,914,479,014,420,358,490,298,930,938,031,184,729,723,756,598,078,526,201,
418,387,221,389,932,468,582,007,212,529,479,415,885,157,238,474,023,905,372,
470,026,532,242,615,842,007,275,522,779,606,485,118,465,529,529,634,011,284,
604,774,921,843,929,662,532,145,325,732,637,088,287,191,424,029,949,230,999,
736,786,122,228,577,229,605,891,427,944,191,652,324,568,922,564,537,420,719,
867,969,369,884,362,743,623,957,571,921,610,051,466,073,619,549,404,574,286,
393,009,473,067,266,898,940,663,745,627,216,842,904,349,175,455,281,381,233,
430,875,107,986,128,222,909,759,283,170,893,632,026,022,159,102,408,533,245,
080,252,442,802,642,202,577,905,238,251,167,534,102,001,953,908,462,641,264,
704,924,929,115,466,152,479,301,764,177,961,988,539,158,838,675,777,439,590,
885,795,501,854,008,315,549,859,034,336,667,738,422,450,012,439,324,019,955,
327,646,930,733,600,256,868,907,486,854,253,171,033,090,640,707,516,646,721,
618,476,070,529,344,635,547,593,792,620,218,506,504,576,589,129,108,774,514,
041,804,077,657,389,919,559,368,976,528,290,341,644,180,239,424,709,146,750,
127,453,160,287,902,210,598,901,293,070,752,729,088,712,427,656,448,821,149,
797,743,515,219,106,926,086,976,261,619,715,167,600,252,495,563,173,395,908,
258,331,998,058,919,722,488,312,677,872,136,987,426,382,816,740,393,692,158,
892,067,392,104,377,076,343,691,326,695,501,526,608,107,694,466,995,732,050,
897,416,055,819,650,242,508,695,555,603,109,761,873,163,795,647,122,474,154,
210,357,828,056,320,981,890,831,178,567,001,071,540,905,755,968,024,332,188,
646,077,644,992,272,983,501,349,909,005,601,363,999,283,263,609,389,855,650,
489,899,611,351,103,323,291,297,649,080,710,934,458,981,060,867,969,916,153,
670,821,747,054,462,240,349,250,027,619,295,707,232,669,465,994,272,107,583,
773,654,544,615,091,551,468,637,763,638,624,808,356,111,678,493,382,961,819,
780,696,533,876,805,528,116,891,253,867,427,352,857,317,483,653,204,057,158,
472,548,219,578,745,856,507,413,419,869,112,140,585,939,534,308,755,466,088,
270,582,043,955,831,966,583,026,645,789,884,583,936,720,602,031,363,220,052,
011,838,918,409,057,245,046,389,635,219,051,172,636,474,612,290,081,002,458,
192,243,485,238,228,612,985,957,389,167,764,001,184,641,180,415,633,041,648,
279,717,488,615,392,076,958,120,555,035,577,934,614,566,323,168,692,182,496,
920,152,730,897,891,787,329,112,088,507,925,018,597,771,418,807,349,268,566,
693,664,186,080,345,383,466,208,533,244,970,900,687,918,933,494,835,863,418,
329,169,850,944,574,706,189,863,234,011,082,452,172,215,556,223,468,442,814,
244,665,853,924,498,271,453,276,549,617,473,464,140,066,386,368,881,862,072,
831,430,920,655,497,603,706,854,191,767,715,034,502,563,136,486,825,392,466,
297,954,475,360,318,427,095,818,957,291,272,270,849,004,300,064,298,921,153,
318,492,704,747,103,068,241,611,026,775,662,660,168,378,541,086,054,466,413,
842,975,677,544,913,664,221,788,750,382,243,964,537,423,180,733,598,268,656,
054,016,107,793,166,467,764,680,832,322,478,384,052,280,844,425,345,197,603,
636,506,279,148,008,015,685,584,393,459,033,096,499,830,509,021,482,868,915,
354,256,933,915,115,916,485,343,761,991,040,964,914,154,067,845,813,298,711,
279,400,922,192,287,084,861,824,323,612,488,565,232,464,721,288,593,803,425,
794,317,900,740,957,048,963,994,115,930,950,442,698,701,138,779,208,087,104,
762,622,214,804,253,585,431,662,877,597,347,945,588,990,355,111,728,513,885,
030,591,167,539,007,023,649,862,152,365,538,375,724,994,782,981,708,534,718,
414,226,434,209,997,940,872,310,648,416,781,404,101,635,138,554,047,353,864,
139,185,863,013,665,122,541,988,161,052,682,764,535,210,135,985,496,113,225,
281,861,337,677,063,389,279,427,954,019,452,197,968,702,477,176,794,318,049,
153,164,912,996,757,574,726,606,584,651,062,835,080,792,999,498,135,374,475,
812,383,439,983,332,927,946,227,889,796,940,424,669,989,882,830,902,968,475,
253,858,630,609,361,725,521,657,212,280,445,145,125,921,804,497,116,774,035,
165,852,111,444,679,990,583,072,894,405,312,910,868,219,388,402,941,678,871,
670,949,335,963,712,066,298,532,453,768,931,077,090,645,946,539,823,688,214,
214,169,659,372,251,894,258,716,824,847,096,248,224,909,707,169,216,763,969,
317,867,068,114,056,133,679,889,671,020,829,862,228,286,878,863,923,933,672,
804,820,734,715,356,324,110,041,049,624,276,810,399,117,721,845,686,454,634,
286,870,198,544,154,349,750,267,223,487,992,410,784,916,890,499,880,145,022,
044,248,208,270,584,789,988,313,355,651,267,010,044,753,019,759,052,842,266,
511,034,389,011,621,755,842,918,382,512,834,456,974,417,964,638,272,316,822,
234,311,770,535,543,046,510,495,017,629,911,194,915,786,978,191,078,742,002,
506,301,064,757,598,496,226,806,164,432,380,245,955,724,699,602,594,534,687,
641,447,353,996,409,219,145,127,293,815,639,458,355,909,918,282,246,744,077,
967,546,772,214,207,259,583,807,167,752,998,620,659,780,230,893,040,369,692,
237,169,806,699,881,207,001,352,578,838,077,141,391,288,001,931,864,606,142,
045,250,122,941,108,453,408,311,548,272,063,910,134,569,118,255,615,027,076,
184,753,064,284,431,037,038,592,030,798,469,744,044,984,264,793,439,409,290,
863,862,022,071,370,191,155,191,811,032,369,436,858,514,788,785,940,040,392,
221,189,617,506,278,300,612,842,504,087,866,383,106,464,367,153,870,445,291,
899,203,016,568,160,723,317,422,267,954,003,336,285,027,938,481,822,121,568,
416,555,219,232,150,203,051,174,378,065,344,862,639,037,521,679,307,986,049,
624,165,396,164,700,780,293,959,989,604,115,664,048,269,866,074,276,278,267,
160,741,436,711,545,382,495,937,933,656,171,839,301,460,088,932,870,921,755,
962,555,977,291,157,683,596,032,164,521,700,371,279,978,388,072,419,638,026,
573,030,248,474,869,298,623,834,662,703,564,198,587,309,846,850,081,737,942,
633,842,861,408,762,856,012,772,110,965,741,413,311,034,039,844,135,921,410,
091,392,945,315,072,970,127,730,275,436,311,025,815,221,792,129,133,659,476,
837,570,395,736,271,321,335,564,563,181,476,453,039,550,910,485,474,256,550,
685,768,011,236,074,921,902,565,147,507,222,685,649,271,117,454,862,434,056,
569,301,507,614,270,641,701,563,226,883,993,703,815,365,894,170,509,370,988,
525,570,880,334,619,915,234,834,970,980,853,952,653,419,602,976,745,242,664,
063,313,393,149,081,363,352,950,038,477,406,264,518,168,552,246,058,394,846,
936,797,349,715,160,648,032,493,296,291,691,584,925,993,930,900,663,237,936,
392,573,829,154,468,663,552,913,474,279,331,250,688,168,621,193,147,418,716,
631,311,704,834,636,366,275,863,458,125,671,262,450,146,635,313,305,345,856,
647,851,545,167,460,731,732,939,901,090,840,667,545,402,650,379,583,786,211,
163,066,766,746,669,645,200,716,233,248,615,682,496,785,057,530,874,912,512,
651,085,609,170,227,839,608,371,610,990,808,301,522,954,369,932,543,403,726,
189,453,038,852,965,138,946,987,723,597,298,002,534,303,279,724,178,963,993,
684,856,167,882,284,203,169,120,975,248,892,949,497,926,362,208,459,190,284,
849,999,063,297,245,857,267,988,161,302,286,971,120,956,125,631,924,691,392,
951,331,255,280,872,951,434,046,261,613,280,320,124,722,890,735,685,404,397,
051,623,623,920,129,932,187,276,112,047,458,000,670,452,660,062,123,395,819,
871,792,466,670,300,045,055,600,710,581,772,205,961,751,259,385,362,207,478,
741,005,439,646,073,231,285,695,498,625,825,591,889,312,117,242,121,191,194,
580,024,246,196,047,479,157,348,104,602,903,382,670,032,849,465,040,107,679,
983,637,770,309,692,447,266,857,354,465,001,688,320,641,027,190,108,180,804,
195,844,804,778,693,885,636,382,605,750,661,419,146,805,132,239,623,098,441,
055,024,545,108,206,640,078,947,297,274,462,178,664,277,970,665,347,764,920,
629,573,757,274,588,211,249,704,755,406,294,703,741,973,032,283,589,007,655,
921,628,948,402,923,219,728,691,834,744,770,728,680,681,393,130,043,300,996,
328,066,935,122,146,955,569,483,676,769,280,364,737,040,012,851,898,133,342,
243,555,879,314,394,511,884,203,159,563,651,393,752,400,723,275,631,032,786,
986,129,929,418,678,810,125,843,532,518,195,478,677,164,410,802,810,155,369,
283,610,053,822,190,860,999,076,618,243,491,536,685,641,950,153,112,668,952,
185,425,217,790,316,899,180,069,425,039,219,511,638,065,785,098,615,567,783,
400,522,954,391,763,780,318,058,209,775,092,403,472,072,240,014,526,681,151,
231,611,747,823,844,210,298,531,241,700,817,112,706,523,757,711,819,608,294,
631,127,696,320,992,609,052,591,483,082,308,934,276,284,591,598,870,216,947,
071,596,263,871,529,517,094,913,598,135,859,131,527,946,834,690,971,153,210,
062,010,341,142,946,076,589,422,600,149,072,418,689,170,235,351,691,192,757,
862,732,215,607,921,693,418,353,183,114,268,106,088,072,287,047,901,308,182,
662,229,782,318,139,050,285,711,810,220,273,391,019,028,697,850,993,128,029,
326,243,745,887,222,898,752,216,057,847,978,111,861,926,189,937,379,494,343,
906,631,271,625,741,050,460,915,310,416,401,117,584,771,088,816,869,795,786,
546,014,743,939,688,155,075,576,785,069,653,891,400,276,579,100,367,729,949,
904,955,854,973,547,067,122,398,442,472,448,612,811,705,509,290,343,016,668,
620,785,423,776,375,057,086,115,982,975,109,123,400,812,841,802,184,386,469,
405,446,179,155,802,320,773,934,721,882,273,119,931,051,925,222,284,093,234,
223,276,149,308,209,511,000,852,157,036,179,004,151,629,149,957,469,311,265,
292,129,006,670,566,859,109,472,127,499,654,396,327,505,231,914,173,619,066,
367,999,121,580,134,832,447,340,380,346,764,858,900,506,689,646,495,898,189,
538,553,026,258,350,208,549,830,329,117,436,512,866,007,805,789,571,217,387,
881,833,761,369,233,552,292,102,763,713,427,355,912,582,518,582,531,059,340,
765,887,785,234,061,254,113,181,951,197,426,815,258,278,131,618,525,280,640,
643,096,465,826,782,070,101,039,731,021,115,442,587,145,395,475,966,562,960,
602,623,498,252,564,893,954,384,224,270,914,487,848,306,612,955,058,087,029,
449,681,712,791,134,941,516,772,629,922,344,249,071,371,261,704,404,136,280,
414,228,003,788,382,540,144,839,897,977,209,733,618,463,732,945,158,544,238,
660,768,945,042,520,504,984,640,890,415,849,863,107,202,048,851,865,385,445,
328,716,335,912,853,639,480,893,590,904,268,267,721,789,419,695,619,616,216,
130,167,078,047,624,373,137,175,635,530,335,820,669,947,889,522,206,782,039,
092,612,937,269,545,640,525,705,199,979,378,350,803,897,517,780,645,888,787,
753,165,597,493,496,006,021,663,146,969,551,239,855,765,235,403,457,675,656,
513,600,023,257,880,911,853,890,725,908,768,163,083,344,210,471,448,030,949,
935,174,184,863,189,793,690,188,984,465,607,144,568,726,572,221,766,560,036,
140,794,567,305,539,183,499,802,133,095,625,342,744,267,982,088,659,549,047,
137,862,561,097,525,507,648,776,795,711,025,433,246,524,743,836,237,850,339,
189,505,832,180,748,814,580,085,720,186,483,233,187,945,110,931,093,202,018,
847,941,073,579,203,140,507,197,474,073,398,828,968,105,542,515,432,524,349,
336,674,723,106,867,615,180,169,185,559,845,296,157,230,891,074,836,125,376,
006,810,099,343,317,576,836,278,884,390,018,497,774,176,151,831,755,354,881,
761,658,439,935,384,495,696,920,734,476,732,875,560,895,702,314,203,128,588,
432,830,758,383,309,325,677,364,383,932,329,639,786,933,489,663,136,694,191,
748,784,295,308,818,360,787,077,903,878,569,762,416,547,206,482,332,270,515,
708,064,516,729,269,252,686,645,155,892,285,728,051,963,336,765,593,130,014,
057,702,943,850,960,228,565,308,584,751,745,871,998,223,994,059,106,491,878,
595,836,620,716,497,765,783,126,215,068,707,421,430,516,768,038,481,989,359,
281,907,664,372,057,273,647,266,516,886,181,684,635,572,328,512,654,942,540,
136,782,526,106,895,981,308,309,496,211,833,017,168,185,406,593,671,723,270,
024,651,827,171,252,444,464,458,979,356,497,146,584,922,526,071,901,016,521,
586,100,439,898,589,518,178,516,596,459,249,914,879,846,442,331,146,266,076,
405,428,387,997,255,640,041,232,470,086,486,292,502,741,522,797,219,896,089,
481,830,910,655,489,139,006,677,883,604,061,091,457,328,597,726,873,676,008,
016,451,052,221,341,031,756,045,552,117,151,320,964,468,298,170,343,898,942,
588,742,867,198,241,733,981,476,611,664,590,045,493,312,246,750,172,812,252,
037,666,165,996,565,996,825,211,300,879,659,062,891,740,335,922,768,776,790,
921,133,807,358,767,171,564,064,456,157,941,006,195,789,949,607,296,374,874,
104,523,835,380,634,237,193,204,211,587,342,985,139,002,057,628,292,782,418,
798,366,062,388,420,141,033,132,108,627,498,860,866,489,291,075,239,811,777,
989,719,156,926,229,476,762,849,415,169,657,445,126,676,373,182,340,455,413,
784,769,246,813,726,364,243,064,210,130,054,895,192,743,343,847,386,482,877,
872,113,539,939,878,186,492,499,390,494,349,784,329,744,851,513,721,909,540,
458,304,190,251,758,249,783,784,940,614,845,187,203,779,652,730,132,117,444,
484,772,112,245,264,230,140,565,225,807,536,787,279,736,771,229,171,983,762,
808,933,954,276,634,136,650,443,691,422,361,581,005,116,400,749,280,607,929,
480,507,308,283,827,995,481,481,839,923,486,385,829,551,010,228,098,616,390,
074,819,326,654,904,037,790,549,772,648,848,732,741,881,059,733,999,410,499,
149,061,756,115,999,290,595,543,994,764,064,767,432,010,743,848,696,213,791,
394,572,669,386,359,671,719,691,841,097,923,023,613,314,303,412,746,369,919,
683,782,908,502,110,023,820,516,083,087,900,038,033,970,407,384,966,503,743,
882,328,930,613,138,619,059,590,944,034,368,586,230,186,027,277,701,437,509,
304,731,888,788,410,371,230,116,284,898,769,514,334,905,831,396,603,625,771,
389,332,981,106,141,000,207,108,659,357,088,420,469,736,480,662,119,017,113,
505,975,809,826,806,744,535,846,556,668,157,898,332,796,030,104,983,301,382,
447,068,216,513,573,991,681,056,056,230,529,238,668,298,335,074,717,288,482,
723,403,853,996,729,506,234,249,990,494,969,202,705,672,702,147,496,420,457,
026,577,703,979,204,993,383,617,218,548,616,625,990,130,853,186,963,616,070,
586,234,980,057,225,039,856,906,028,584,081,650,385,480,438,071,151,993,210,
343,886,758,820,455,462,353,317,685,536,878,468,675,142,832,182,485,754,328,
624,252,121,679,508,134,610,798,750,752,188,148,538,975,447,761,551,619,878,
593,984,377,358,071,764,310,322,667,658,577,607,356,960,201,761,440,223,003,
774,841,049,980,573,345,593,725,060,302,822,300,367,832,892,124,338,582,909,
237,965,744,267,497,384,847,037,376,470,734,815,425,992,748,017,707,470,975,
186,015,503,104,877,098,912,193,114,126,187,695,222,137,076,956,884,777,315,
701,988,801,590,679,093,194,710,389,487,920,674,249,394,993,924,086,508,989,
488,561,496,143,996,744,664,306,936,607,351,965,367,901,869,816,247,100,885,
697,601,581,753,876,503,220,833,691,295,313,077,665,832,840,252,706,636,961,
253,780,628,630,204,184,610,313,980,660,045,001,823,501,100,900,602,142,584,
260,363,189,791,571,350,945,449,088,894,973,205,894,392,086,392,534,725,272,
826,547,946,385,732,698,851,493,450,449,100,229,623,529,646,585,315,791,292,
658,731,818,212,260,152,774,208,857,509,220,577,245,999,970,658,329,941,437,
466,331,640,030,717,757,004,807,378,624,334,972,085,819,262,536,289,644,581,
763,668,977,323,129,742,987,286,435,072,489,037,978,375,567,866,547,190,775,
889,465,383,990,531,202,854,036,972,357,169,476,080,629,039,914,383,820,496,
327,930,419,786,085,436,175,512,615,395,239,895,741,692,493,401,498,888,953,
093,896,715,191,593,104,549,234,532,228,087,672,513,731,696,422,207,712,596,
567,362,345,487,277,373,160,369,439,681,583,993,950,133,388,820,668,882,793,
854,768,027,780,832,820,644,973,415,526,510,196,180,047,166,207,300,979,807,
342,867,976,275,950,814,900,467,028,191,876,821,848,788,781,786,492,269,587,
365,755,153,092,854,630,305,696,340,634,549,609,906,068,467,946,762,383,117,
537,109,983,550,923,239,255,911,068,511,351,177,477,739,202,894,072,413,056,
844,337,293,576,817,953,910,946,532,923,952,222,112,532,699,792,000,752,944,
866,065,311,079,259,084,490,125,220,656,726,931,525,957,968,106,122,136,813,
477,411,425,684,551,701,854,129,186,071,702,311,910,479,441,976,018,548,760,
623,710,438,174,958,350,905,789,489,950,020,280,599,274,661,789,269,641,556,
562,392,781,192,918,506,658,752,089,126,197,170,749,138,301,682,186,973,988,
917,296,722,117,221,647,557,041,137,757,874,339,492,236,353,816,232,064,546,
576,744,460,033,170,460,776,136,603,083,236,631,279,315,516,434,499,738,184,
576,621,482,139,724,198,088,417,904,023,090,768,825,711,888,050,407,829,915,
488,542,339,964,422,520,994,844,894,335,135,717,348,179,450,126,245,053,137,
239,781,000,270,507,655,695,771,319,683,120,853,227,910,840,166,862,421,059,
249,210,535,909,571,704,044,546,448,095,176,720,413,115,751,457,877,452,701,
915,569,068,906,777,972,626,377,410,327,300,374,426,594,249,291,660,834,298,
734,280,775,806,143,667,748,790,127,154,166,939,556,144,428,012,401,385,757,
983,380,701,517,196,552,672,689,587,934,325,450,304,389,297,666,127,026,196,
825,204,727,509,567,992,893,823,557,456,263,851,513,666,941,396,594,795,944,
427,044,857,718,170,478,924,547,594,908,966,961,491,926,486,605,894,804,380,
038,949,400,226,632,181,650,216,060,941,828,368,048,414,043,407,998,367,048,
404,825,682,094,982,654,944,203,762,307,517,962,477,043,323,283,852,400,388,
107,789,763,298,141,941,612,551,705,566,291,622,096,040,857,492,741,792,453,
645,999,819,112,964,643,650,313,267,939,512,937,539,900,335,355,463,077,864,
319,231,450,213,768,073,945,471,054,658,280,715,524,378,948,098,909,153,840,
739,179,266,741,694,482,570,208,408,905,185,638,026,166,902,423,107,852,016,
650,620,051,683,925,093,813,924,526,527,235,806,918,444,009,823,532,926,883,
633,369,023,167,661,136,419,078,094,987,152,481,225,277,516,436,146,686,872,
371,096,051,125,959,630,740,662,770,247,552,560,271,157,879,177,129,472,622,
668,388,278,502,055,916,602,940,165,743,786,226,204,260,953,822,479,018,415,
010,940,117,399,932,051,730,115,308,619,855,164,420,709,863,906,024,501,401,
674,160,505,074,167,991,420,578,295,128,254,636,786,406,914,477,534,940,686,
715,437,056,233,134,854,727,763,833,812,947,068,848,453,990,412,381,981,601,
646,486,346,691,631,527,313,873,195,764,434,106,103,664,452,371,147,264,419,
560,743,000,959,570,973,012,910,508,059,979,126,435,607,980,258,863,987,098,
813,120,891,289,217,704,283,162,927,291,695,228,196,559,144,924,212,102,357,
962,692,211,841,422,344,477,165,646,302,722,471,717,596,370,776,646,824,515,
461,502,519,316,882,690,179,199,546,738,995,945,019,939,108,272,548,962,083,
418,023,617,733,884,179,074,147,547,983,689,016,526,600,446,486,888,774,147,
420,330,418,336,247,247,379,259,535,217,883,449,416,443,151,358,936,682,945,
810,015,745,857,111,036,075,558,077,916,229,956,336,480,650,739,030,628,795,
666,504,955,755,233,876,478,099,888,421,817,353,114,665,123,648,688,545,054,
335,595,939,154,639,245,204,527,105,836,072,613,199,917,486,564,931,116,069,
112,928,115,736,796,767,343,242,976,459,503,600,859,079,434,922,315,120,390,
213,928,198,515,949,541,300,631,358,888,732,682,238,919,720,274,945,992,792,
885,498,724,636,379,998,790,302,897,889,985,872,625,455,526,723,358,052,632,
117,309,466,218,477,159,114,798,437,035,178,355,085,812,045,830,634,084,845,
429,160,136,873,621,429,253,012,816,174,839,915,418,357,768,262,030,603,332,
039,159,119,207,320,450,781,989,357,743,285,583,292,015,999,173,420,551,287,
505,449,781,819,982,877,191,814,820,897,242,373,506,833,685,715,536,578,015,
782,957,383,260,513,603,451,238,068,342,188,679,571,118,347,308,640,010,652,
101,220,426,658,454,824,970,340,569,021,360,038,353,489,897,155,302,058,350,
466,826,653,621,950,656,964,863,550,070,397,379,220,712,743,791,905,447,662,
053,133,225,864,866,220,905,361,298,500,837,697,875,400,290,653,746,255,058,
568,179,562,547,261,694,920,797,487,366,799,983,860,663,033,188,447,646,143,
482,371,530,017,211,188,895,387,089,422,376,504,526,235,288,009,600,859,137,
295,171,391,510,749,787,910,002,823,265,184,331,019,983,512,440,680,001,142,
662,915,323,763,477,964,277,786,677,388,764,671,183,708,552,948,179,179,852,
531,148,615,178,780,056,471,850,611,475,020,638,551,770,857,860,309,167,861,
400,120,818,126,780,780,568,178,988,830,045,660,095,256,635,341,354,562,528,
610,417,007,623,354,174,762,332,078,196,213,908,773,845,044,221,718,498,934,
736,706,044,762,480,065,174,087,639,487,163,233,796,290,107,442,491,104,221,
610,355,835,105,284,852,431,486,336,275,567,504,576,957,338,688,526,273,876,
645,098,300,744,131,611,471,319,266,205,404,736,946,105,922,735,413,696,230,
903,408,190,443,984,596,577,220,197,474,304,134,757,171,498,214,219,538,113,
274,635,872,623,490,485,646,531,284,750,981,307,503,609,708,445,854,588,056,
940,609,620,749,639,336,901,260,816,087,948,989,691,389,158,334,148,081,291,
581,557,224,093,195,216,693,275,393,565,916,853,503,904,210,695,614,927,790,
628,660,170,971,102,024,851,403,344,193,151,918,519,637,470,132,262,813,010,
209,634,229,293,434,788,653,404,189,654,900,711,392,191,856,436,596,512,547,
985,579,293,000,066,196,732,299,362,768,713,037,911,106,056,625,294,201,276,
359,086,592,959,883,098,820,154,664,937,797,631,262,014,464,627,999,258,221,
725,284,908,385,494,963,575,035,060,292,608,256,862,546,772,561,513,294,923,
961,313,143,585,957,476,324,095,626,133,366,429,308,192,352,118,733,924,733,
764,896,969,798,028,118,783,355,001,560,457,712,598,624,364,819,492,482,132,
545,147,593,372,454,824,425,154,701,448,228,103,302,324,615,407,609,778,299,
413,153,845,237,593,418,533,301,984,904,225,741,719,979,101,706,834,496,635,
699,015,418,442,045,244,068,533,899,881,930,027,585,483,149,732,270,114,516,
018,767,923,172,562,118,945,712,299,850,247,465,466,482,417,977,630,243,824,
666,947,721,187,169,849,099,343,432,428,641,841,184,054,712,332,755,342,282,
024,191,444,867,954,455,643,463,681,502,179,202,212,081,082,203,597,411,063,
051,576,434,168,124,726,415,639,239,628,096,324,222,050,005,126,458,448,793,
974,563,513,995,044,655,417,219,167,503,388,732,147,554,035,215,881,206,156,
091,474,297,749,556,744,768,338,733,967,656,401,463,632,128,074,942,721,639,
162,292,987,049,341,412,367,200,847,915,542,290,751,251,893,878,438,571,185,
026,450,577,705,801,279,548,762,772,395,219,715,685,816,287,986,271,230,236,
468,288,936,902,121,774,103,591,411,381,280,408,584,473,600,715,994,573,541,
310,699,845,571,089,503,531,884,092,278,838,927,983,661,145,695,287,182,366,
693,660,531,307,751,734,494,114,813,589,148,133,941,484,008,801,240,300,381,
837,917,729,467,699,262,455,617,323,101,110,912,711,112,756,706,403,086,590,
506,197,555,195,951,706,142,583,141,165,128,699,385,118,120,377,838,255,918,
214,463,811,516,877,445,756,161,361,094,663,771,387,758,962,372,196,572,874,
301,529,685,932,634,202,176,895,767,586,008,687,549,340,660,839,605,865,801,
246,696,917,419,712,875,444,199,349,288,515,858,767,214,980,422,825,635,424,
548,571,892,624,895,667,450,377,652,477,982,064,535,872,866,877,181,165,512,
382,352,518,226,160,600,156,573,460,216,435,282,730,607,024,337,872,958,432,
336,473,010,699,510,481,376,523,610,198,161,802,866,678,581,270,117,157,116,
624,662,257,046,731,234,433,579,920,603,388,363,620,642,200,864,471,225,094,
185,222,797,159,963,778,599,876,281,560,574,120,232,150,979,309,406,266,286,
074,149,248,907,707,252,384,843,217,169,017,691,378,715,221,980,867,934,784,
147,672,063,964,491,580,510,835,364,421,224,984,909,269,816,446,521,703,708,
220,547,712,238,894,106,669,758,498,194,310,109,623,482,535,109,128,296,203,
437,681,404,478,572,736,544,291,546,004,827,370,911,842,805,363,855,431,054,
508,129,962,307,471,716,753,179,530,380,650,361,093,784,176,188,061,919,993,
774,653,591,566,634,325,109,130,395,968,626,601,314,691,085,624,201,052,524,
193,673,531,470,868,194,807,142,840,136,849,984,232,343,073,711,962,027,140,
779,895,000,864,906,617,416,925,161,338,823,780,588,833,132,089,415,890,807,
981,832,003,124,551,726,916,288,404,092,419,253,729,299,373,422,331,775,236,
339,571,361,562,324,298,980,799,122,809,790,167,130,998,295,702,642,183,460,
421,530,021,610,525,556,572,591,482,393,939,740,096,755,634,083,509,935,272,
429,957,920,187,919,263,585,823,948,203,339,013,816,251,291,195,872,205,673,
307,878,356,188,365,037,413,713,332,387,159,969,853,315,649,158,427,354,671,
284,650,726,615,339,048,956,202,434,179,232,772,566,713,736,890,752,088,832,
283,012,116,046,155,522,086,156,050,374,827,112,135,381,293,862,189,044,802,
311,748,242,657,063,747,200,583,221,264,987,387,330,454,381,442,980,327,312,
426,454,383,733,000,731,058,328,999,608,306,528,012,586,562,921,598,258,372,
863,932,557,092,607,679,995,889,794,445,879,730,923,200,698,342,679,491,816,
339,650,241,302,508,529,807,610,928,767,761,428,573,781,810,262,252,444,184,
894,319,810,226,522,666,916,307,622,671,292,676,423,961,228,862,600,548,640,
588,893,087,849,536,373,756,878,265,946,150,094,411,140,899,995,457,845,847,
892,996,567,703,211,092,945,295,045,902,387,805,733,981,639,922,829,331,823,
975,595,808,254,920,142,176,098,918,420,675,779,402,684,049,216,048,699,537,
502,059,573,157,262,455,103,403,903,357,055,636,400,248,873,830,138,968,954,
179,683,870,018,160,637,838,343,871,336,506,403,612,875,835,751,713,681,703,
596,033,743,967,464,768,511,691,174,347,014,090,542,722,247,830,423,943,909,
878,305,635,617,471,256,913,352,986,360,374,922,792,108,408,416,511,845,471,
854,763,190,248,351,279,914,386,955,233,868,590,201,701,821,700,737,823,237,
168,530,814,579,457,928,983,388,231,213,347,539,578,994,480,422,764,105,837,
446,695,455,064,325,811,927,540,156,790,467,249,574,773,545,427,214,559,359,
644,946,568,965,193,999,424,263,017,917,596,393,561,440,064,056,427,492,621,
561,786,123,124,619,131,794,367,379,088,091,191,524,188,300,221,082,645,195,
264,795,746,586,954,281,886,353,542,868,977,013,175,421,684,044,327,430,473,
470,904,692,275,563,303,195,951,644,527,337,055,502,304,293,338,969,278,256,
455,090,233,541,273,855,284,441,462,900,256,726,223,232,697,547,087,928,983,
366,306,300,545,240,941,815,681,906,985,072,840,285,229,256,400,134,745,490,
951,481,449,610,946,554,953,289,734,901,358,390,385,076,772,377,265,562,435,
307,681,012,316,871,609,696,561,073,865,497,555,327,812,964,941,111,734,077,
503,099,729,280,823,818,819,105,432,119,334,503,060,190,933,501,572,310,387,
376,150,514,344,713,476,146,880,301,363,433,865,076,359,495,654,376,178,567,
079,934,689,767,363,823,887,156,036,334,219,988,190,693,149,838,843,348,003,
573,892,921,232,152,917,199,035,991,194,255,118,712,257,335,300,730,146,754,
715,954,558,580,679,792,370,780,158,779,509,854,717,608,465,704,611,769,963,
638,917,853,628,812,468,664,304,513,548,992,961,354,820,631,855,471,546,130,
815,944,361,321,940,326,434,573,634,619,090,175,466,163,831,902,353,759,638,
649,197,061,556,207,144,722,066,183,535,737,080,238,691,463,793,103,478,424,
424,234,090,422,029,896,968,596,154,328,696,452,203,627,970,268,933,179,052,
519,588,018,080,159,451,218,894,519,181,940,006,670,664,267,386,536,454,462,
326,308,380,423,312,811,098,079,877,975,660,285,253,437,498,361,147,666,056,
749,010,225,648,930,902,233,140,838,010,174,975,845,967,273,625,617,933,625,
843,732,858,885,012,328,618,023,147,009,879,863,763,561,747,991,189,416,557,
988,760,762,365,846,683,318,939,316,898,849,499,611,498,406,336,834,001,343,
491,886,587,835,472,303,700,677,140,837,480,230,451,730,588,795,269,292,780,
405,087,380,160,516,717,558,930,733,923,457,842,307,976,088,787,834,065,581,
676,596,160,270,707,821,922,652,309,490,197,356,331,535,979,119,767,852,490,
345,918,114,344,931,008,833,702,460,623,429,981,318,470,695,852,482,714,269,
953,258,301,943,633,870,906,609,903,490,625,653,230,198,869,271,072,635,297,
963,489,496,289,563,774,713,387,394,665,158,073,418,028,132,816,170,361,929,
270,714,651,822,799,487,526,094,105,936,387,533,234,588,675,585,001,165,382,
627,686,888,605,230,446,313,295,927,867,531,361,386,932,827,071,921,780,105,
387,926,480,028,523,146,933,409,107,968,326,741,013,951,967,839,293,092,035,
436,930,875,310,074,993,025,464,808,354,909,690,981,698,252,513,663,774,152,
106,826,764,307,763,366,142,999,692,010,012,136,702,908,786,776,355,365,218,
529,803,483,274,410,638,877,332,778,482,302,554,379,022,834,323,064,585,604,
887,155,656,068,392,699,815,622,652,297,090,979,645,144,556,747,102,782,705,
826,177,874,776,021,914,316,140,674,743,717,187,090,817,470,020,982,239,782,
540,973,801,726,524,233,463,547,936,678,856,858,624,735,632,562,258,085,871,
535,399,922,265,073,392,962,770,262,989,112,723,303,396,670,102,938,312,584,
608,292,030,410,877,056,403,390,203,988,872,035,663,247,130,594,487,602,324,
227,322,740,360,042,351,549,156,088,084,321,152,746,004,241,224,833,548,108,
570,323,922,393,830,812,024,211,665,554,494,491,981,688,516,349,324,137,920,
823,570,408,836,519,456,140,579,398,983,088,908,399,731,580,384,485,411,950,
277,035,765,935,911,398,854,732,589,853,611,410,274,297,757,343,906,648,139,
820,498,426,523,904,104,031,511,738,639,205,674,351,589,159,662,296,583,018,
474,903,578,302,277,410,769,541,987,543,421,095,061,652,792,874,153,182,216,
638,992,967,128,547,354,212,985,027,384,366,542,429,038,095,535,280,179,606,
313,064,133,548,374,067,477,462,747,174,450,557,029,838,795,014,552,399,329,
425,744,230,800,344,707,561,719,018,918,283,701,582,631,909,692,764,186,055,
279,637,477,852,105,652,360,369,996,776,420,058,708,904,981,997,320,586,357,
330,313,991,266,473,325,909,561,097,233,250,393,768,542,129,265,721,268,330,
029,866,827,062,652,638,473,977,012,639,220,064,769,814,204,554,769,941,585,
851,483,621,870,217,356,260,940,873,722,151,883,183,848,304,905,488,917,586,
582,655,918,096,256,479,094,652,105,643,599,714,755,097,610,654,064,398,167,
906,962,859,549,557,306,193,367,727,530,139,341,265,495,982,664,871,722,280,
128,616,201,500,077,671,457,766,714,645,361,361,081,836,569,596,507,989,984,
576,993,524,687,153,282,058,108,187,913,161,328,140,575,433,856,205,349,549,
383,914,826,643,455,748,748,268,139,537,288,468,686,484,924,062,165,194,720,
224,437,096,232,654,110,278,384,444,283,758,136,407,833,790,726,347,162,839,
920,236,289,054,337,793,396,482,087,238,654,237,625,510,041,878,085,901,393,
074,414,007,199,756,682,853,661,517,976,867,943,674,093,466,585,669,087,818,
211,849,788,557,417,057,630,302,280,764,292,333,456,044,885,042,460,111,208,
620,965,064,863,042,905,987,456,563,781,283,908,512,939,813,752,991,073,833,
907,118,789,129,553,577,063,154,713,356,805,577,893,263,549,963,790,833,405,
288,529,388,792,962,651,969,374,971,590,312,087,313,803,990,511,712,228,924,
544,595,628,347,666,285,459,850,083,356,782,097,255,239,031,023,422,400,156,
528,414,669,042,273,403,306,276,913,566,716,187,188,944,168,013,445,484,592,
139,635,455,267,726,571,536,397,080,082,330,020,492,989,276,662,600,759,479,
156,208,673,089,542,156,293,561,868,349,368,388,959,614,185,777,803,391,361,
359,082,701,243,009,552,048,444,986,135,802,372,688,982,562,261,447,589,668,
826,243,881,419,424,050,163,396,191,371,647,630,132,825,097,299,257,853,455,
445,773,626,064,175,787,837,227,850,941,618,463,406,813,987,111,278,288,900,
274,715,391,980,629,619,730,790,056,376,613,283,793,334,043,976,778,496,795,
607,548,270,671,671,367,504,119,082,161,221,783,639,490,355,362,605,559,136,
664,261,075,683,225,131,160,824,626,653,205,943,527,199,152,291,402,811,383,
704,609,437,647,550,456,084,568,597,423,228,293,218,879,140,302,621,619,725,
694,268,996,722,387,566,822,574,353,399,327,910,661,697,132,384,550,447,665,
129,141,629,038,619,675,031,621,896,781,706,462,550,486,407,942,089,849,554,
483,199,826,863,478,435,231,985,170,722,414,778,230,007,235,617,408,526,530,
330,580,728,460,282,818,855,515,536,502,969,217,307,034,210,696,946,663,887,
476,134,876,611,912,198,896,042,367,896,501,575,510,041,420,987,251,154,120,
489,542,771,767,312,128,312,023,309,106,694,088,175,558,800,984,447,644,614,
799,577,422,010,389,225,616,298,681,117,254,039,630,040,587,398,246,991,875,
120,500,296,660,947,696,489,205,989,873,758,348,132,051,539,878,009,270,425,
090,599,371,992,310,338,919,130,024,156,485,476,100,206,986,157,601,154,650,
135,952,665,740,222,800,923,476,123,880,976,220,456,526,643,239,171,824,299,
254,555,128,914,582,813,737,622,325,663,879,075,257,025,596,682,508,398,871,
001,815,703,502,997,336,086,354,470,888,211,236,656,344,028,336,281,362,417,
878,023,278,896,075,464,749,359,063,885,764,886,958,807,225,383,645,779,146,
652,755,235,138,252,298,793,893,077,236,602,657,645,406,164,582,019,248,003,
105,089,017,371,695,290,407,812,354,578,227,611,356,132,339,930,189,115,430,
421,575,627,723,891,571,047,088,214,828,057,189,132,839,568,837,154,158,096,
530,069,103,763,168,281,209,254,877,492,371,759,098,296,230,881,832,595,802,
778,256,236,014,776,759,040,829,878,465,240,809,357,521,865,594,362,011,552,
425,765,736,116,292,851,083,710,046,423,087,450,032,027,407,821,236,453,893,
425,543,738,664,617,908,944,774,691,458,423,829,019,718,062,900,140,523,829,
818,051,581,228,940,105,071,812,493,386,913,251,667,268,413,948,707,450,681,
353,282,615,566,220,247,123,718,314,870,201,297,016,071,118,950,424,826,183,
358,819,798,603,771,732,942,827,455,118,693,142,156,750,460,704,444,419,735,
542,409,839,571,495,676,461,231,311,888,052,917,671,974,670,803,406,289,693,
483,185,421,195,110,467,224,259,837,273,986,022,651,199,625,592,913,086,301,
137,107,845,547,379,582,352,207,159,047,824,739,165,403,467,374,277,712,782,
966,183,156,546,194,485,624,822,105,483,795,677,522,190,474,138,698,536,224,
496,430,064,349,449,542,483,118,862,296,064,828,961,647,140,774,805,068,239,
454,655,343,937,017,545,847,203,039,233,645,800,478,065,132,326,592,938,797,
491,110,330,440,991,372,718,792,850,203,664,955,178,493,676,196,103,702,702,
676,846,721,837,150,999,928,675,711,115,312,070,855,502,237,865,823,111,044,
029,700,472,801,301,418,561,569,538,353,056,020,670,742,344,862,375,456,284,
685,853,744,431,214,883,389,436,208,341,796,119,126,143,492,551,146,307,239,
106,832,184,760,056,186,107,514,815,726,208,417,920,589,085,554,639,740,225,
185,979,896,397,392,349,246,583,722,246,829,625,613,819,045,278,528,663,187,
032,345,625,173,950,855,672,532,320,698,857,414,149,281,259,507,933,631,332,
898,395,413,906,844,157,899,850,680,337,147,112,655,974,343,931,539,407,848,
796,915,308,677,208,928,798,903,614,376,526,977,914,392,245,376,494,790,978,
689,892,858,522,436,316,344,258,214,223,838,123,965,145,407,517,238,961,908,
504,301,481,681,045,832,678,447,679,991,316,174,833,745,889,556,754,404,832,
217,263,387,264,078,781,660,973,036,076,566,003,920,182,941,952,144,392,201,
268,804,412,456,867,193,231,668,444,405,886,564,225,461,020,162,064,475,167,
776,372,216,708,493,686,229,309,985,899,292,471,219,487,303,677,008,461,607,
385,373,673,698,045,819,821,835,074,855,747,526,088,257,362,426,127,053,789,
657,067,873,081,186,633,821,634,856,520,895,187,090,101,719,412,102,660,054,
191,142,545,737,881,537,094,678,977,321,823,172,229,073,457,015,016,984,453,
768,036,303,845,162,898,888,643,271,446,141,668,305,604,693,774,735,464,238,
743,351,104,720,793,537,379,809,513,771,213,544,551,739,116,209,722,640,891,
668,528,785,449,040,844,099,348,779,787,109,636,416,633,160,424,693,918,055,
070,862,351,380,033,997,004,541,631,431,820,708,694,994,246,273,462,163,035,
385,764,088,827,431,924,873,100,746,365,558,349,759,440,684,455,618,736,697,
529,932,570,927,819,063,608,879,642,449,433,099,141,436,992,783,361,556,727,
988,505,008,542,407,639,265,933,264,310,480,796,245,082,159,198,904,376,789,
834,458,146,416,878,296,085,885,381,290,708,206,834,894,122,753,210,976,065,
792,815,338,877,562,904,319,121,128,107,901,450,805,988,117,194,347,506,840,
870,238,612,791,101,725,092,141,743,820,109,353,665,921,633,394,832,357,351,
917,398,329,822,515,314,142,640,631,554,280,557,869,356,377,030,735,352,062,
863,268,096,389,657,947,944,575,098,458,506,850,702,851,433,080,365,478,889,
122,293,296,655,147,898,682,672,150,791,188,071,198,684,987,518,297,258,418,
965,212,371,591,297,551,222,272,310,491,192,943,561,207,030,945,362,670,249,
247,608,930,432,375,459,246,836,920,962,096,384,386,906,163,163,390,449,348,
222,168,411,284,466,632,216,652,588,263,810,190,200,825,685,595,886,113,771,
223,051,513,313,738,395,597,578,902,694,608,556,106,532,277,469,593,905,956,
242,348,433,851,767,421,605,689,376,177,484,146,059,694,317,445,563,126,332,
043,173,986,504,786,868,516,011,132,421,767,437,219,656,328,683,426,834,180,
474,757,536,854,751,280,560,180,709,485,866,529,551,470,707,523,728,339,783,
460,756,696,389,973,168,371,353,953,500,138,979,613,259,645,395,959,305,206,
037,415,055,112,317,052,318,317,503,596,598,240,113,615,342,493,969,499,284,
628,788,801,079,721,553,806,709,828,809,314,764,278,319,042,816,143,148,561,
483,836,920,974,670,288,827,548,944,768,917,063,994,726,234,858,511,773,279,
600,620,448,533,902,796,728,398,365,946,291,811,768,555,243,606,050,553,761,
304,360,869,241,157,047,583,308,561,604,145,261,365,052,963,761,189,940,394,
447,704,641,271,195,812,402,723,846,563,450,051,161,428,171,901,687,683,652,
288,055,701,589,818,164,566,624,109,176,471,294,286,867,093,697,177,134,442,
660,845,508,815,514,111,059,063,440,315,356,009,753,523,372,553,659,776,395,
027,882,799,226,999,663,856,608,874,445,768,617,448,074,568,464,776,651,455,
145,346,867,484,484,277,754,129,057,462,612,636,243,817,150,193,383,651,700,
625,605,359,513,076,922,447,419,809,144,828,477,252,649,327,586,732,533,372,
184,158,041,722,803,297,254,466,358,923,151,764,491,225,156,398,854,103,305,
371,054,609,972,947,121,268,475,824,374,014,082,815,804,942,937,611,730,587,
325,808,141,483,483,400,942,308,950,375,957,312,927,219,644,071,166,815,314,
198,278,787,748,720,202,659,402,390,946,434,607,884,726,703,438,657,685,029,
729,684,578,464,017,150,351,025,889,675,071,990,796,388,560,006,397,622,005,
509,033,716,524,376,261,954,014,227,771,471,007,487,957,484,782,103,381,606,
503,229,677,847,905,252,657,520,853,864,540,480,123,409,949,268,853,809,484,
951,425,999,236,455,440,885,344,604,523,882,696,669,849,494,117,216,105,754,
079,825,418,097,040,946,725,278,318,219,860,128,870,313,927,424,101,712,184,
751,309,450,293,127,673,556,098,877,784,172,834,042,371,619,965,791,924,678,
172,967,984,539,839,424,067,067,643,399,127,795,545,988,973,076,120,247,811,
337,342,630,209,390,544,861,769,595,071,437,864,054,871,006,254,962,189,419,
409,201,075,210,915,688,377,007,019,389,529,915,447,604,634,206,623,384,915,
524,276,667,834,825,988,395,828,531,851,515,205,430,744,807,191,785,017,388,
116,780,083,730,259,890,355,812,405,583,645,665,067,322,547,258,535,818,262,
386,881,415,102,324,187,350,913,410,130,381,092,151,694,960,217,556,833,334,
947,442,503,970,206,860,701,460,671,436,490,555,511,502,092,571,213,653,461,
010,598,978,300,380,334,617,128,378,400,684,021,813,162,431,344,992,433,260,
994,562,550,966,645,574,507,124,718,123,028,544,994,896,922,639,504,095,415,
009,727,775,412,228,099,958,149,270,539,264,320,651,563,387,996,017,288,648,
687,308,619,802,863,043,375,854,602,240,703,728,242,767,802,369,437,620,049,
025,370,768,851,975,960,660,607,297,160,644,631,046,950,930,251,293,700,436,
883,241,042,265,081,921,913,913,624,454,982,102,130,034,394,941,571,819,348,
285,337,274,893,427,077,975,894,999,541,846,014,153,104,097,904,132,954,775,
787,563,814,815,184,209,647,636,013,765,338,283,882,584,267,001,596,828,528,
599,096,320,385,731,695,297,234,278,058,496,577,306,347,164,899,185,123,432,
976,493,687,999,241,162,095,086,342,521,711,539,544,788,058,726,545,801,689,
298,639,676,146,797,389,731,009,276,369,218,280,832,577,949,843,116,961,646,
652,249,607,301,668,798,042,507,133,640,944,929,619,699,543,216,810,761,008,
156,378,110,650,913,926,855,046,171,820,186,488,594,279,420,084,895,712,168,
622,152,312,221,110,844,191,236,474,478,195,092,827,798,871,966,526,338,812,
384,256,795,050,142,157,803,879,752,973,737,535,800,173,173,391,746,614,150,
188,468,930,385,637,995,778,642,268,104,305,787,278,492,154,237,488,018,364,
158,511,099,132,511,567,239,466,976,153,100,211,108,077,014,881,305,963,908,
118,765,044,412,846,706,157,243,883,030,283,173,879,005,716,959,906,253,026,
156,277,440,440,454,904,392,028,474,502,529,708,812,867,694,977,672,403,878,
333,876,866,392,963,406,730,197,713,799,836,928,713,382,757,806,402,267,475,
785,595,231,263,700,228,127,897,938,931,909,692,144,735,206,621,206,905,127,
207,310,328,873,369,547,384,857,056,194,980,146,801,367,707,360,177,239,998,
232,419,338,887,751,121,182,605,652,528,896,723,472,377,921,937,870,747,774,
450,794,418,417,573,046,683,611,997,109,944,441,100,348,648,698,538,871,691,
058,502,925,863,767,298,861,562,497,035,741,423,571,222,739,810,360,977,188,
033,106,352,104,261,737,002,596,003,718,222,682,392,299,015,594,249,390,829,
432,164,353,203,254,340,225,182,690,958,331,049,529,624,889,173,543,148,203,
038,810,916,897,229,636,057,351,325,938,440,457,747,823,363,776,684,120,066,
671,565,151,690,647,110,857,403,665,729,782,756,585,264,991,493,836,236,724,
878,961,664,946,097,753,409,237,678,769,672,565,825,809,462,730,417,017,911,
179,072,724,166,722,320,297,503,594,290,094,668,232,375,431,313,223,956,177,
241,283,438,693,193,434,601,686,485,052,684,610,928,869,657,701,233,763,891,
620,852,570,797,003,948,851,426,551,208,610,620,067,361,751,092,209,440,159,
619,502,107,460,507,129,873,359,668,852,969,059,257,013,631,646,653,436,566,
908,184,575,975,843,189,533,599,833,561,661,221,676,695,245,605,506,857,239,
615,901,602,754,413,655,293,980,192,726,001,861,636,033,239,534,976,649,024,
073,554,564,337,992,795,491,648,314,910,553,014,870,535,090,840,276,565,411,
331,531,543,888,700,900,980,214,501,704,768,703,372,456,817,790,095,443,062,
221,258,385,451,785,478,946,372,762,515,018,056,496,749,517,068,535,785,290,
296,118,288,252,652,726,034,944,242,311,945,438,339,635,365,318,807,195,613,
751,395,146,486,545,940,227,283,850,931,720,990,515,300,844,547,998,312,750,
225,270,682,106,906,452,026,749,035,392,273,507,684,942,056,356,099,293,680,
414,885,234,302,367,614,974,025,044,870,363,071,985,605,986,051,696,097,805,
462,124,682,394,653,892,892,173,109,075,339,055,289,853,802,910,409,517,863,
496,916,455,886,030,624,772,606,797,134,522,874,390,828,698,928,266,768,124,
588,652,851,633,239,784,189,253,331,678,770,214,364,019,109,985,073,577,688,
507,748,575,373,927,959,259,119,729,728,506,833,592,335,489,192,207,042,636,
779,736,463,127,886,634,993,687,345,454,645,384,903,230,876,676,479,153,024,
359,558,194,715,545,870,492,637,203,337,667,003,150,649,343,051,879,652,830,
795,994,892,686,346,036,194,667,002,013,577,997,988,889,860,574,897,091,196,
130,839,017,003,749,410,403,898,887,512,798,250,047,274,956,118,181,406,899,
385,655,513,639,132,441,247,422,724,753,529,091,445,783,044,051,302,461,001,
238,504,796,513,626,842,321,232,037,557,365,817,481,062,248,085,772,495,325,
991,895,037,386,505,705,184,593,350,122,402,304,738,056,850,552,967,324,419,
530,822,288,862,536,465,009,046,441,961,741,198,467,210,613,105,164,524,939,
515,984,130,706,414,665,671,009,938,982,284,301,583,636,651,505,370,811,698,
198,889,200,609,099,366,161,800,743,626,009,844,173,560,773,852,316,106,049,
208,481,822,853,043,729,543,884,762,135,767,349,824,467,229,506,496,218,143,
708,452,489,165,480,857,493,618,151,229,751,779,157,663,981,175,112,283,413,
922,627,649,569,552,687,089,418,474,671,203,926,889,849,358,470,308,738,717,
883,299,012,307,547,957,288,578,406,827,324,690,693,891,578,733,374,713,145,
132,695,061,457,971,486,275,068,617,460,836,721,037,968,171,829,604,593,453,
519,205,390,385,270,341,537,977,005,507,153,865,352,436,029,919,758,489,787,
530,752,530,177,371,745,500,615,037,931,894,693,883,241,004,508,435,610,586,
516,732,021,339,721,314,680,752,196,447,610,441,671,403,049,020,285,408,421,
615,577,326,421,786,290,445,101,106,917,688,838,185,099,375,861,201,188,995,
368,837,518,709,460,045,075,572,556,389,077,794,954,296,948,998,666,298,790,
743,847,642,634,952,565,449,048,207,230,667,188,216,334,116,842,625,086,889,
631,008,363,557,350,350,369,981,486,860,467,796,675,278,617,531,866,555,957,
802,250,131,360,182,295,729,016,692,680,964,567,725,694,473,646,946,932,768,
464,646,760,025,616,809,757,262,523,820,300,232,163,903,742,929,736,295,644,
559,546,211,229,096,190,955,945,002,035,423,913,099,986,889,037,461,124,460,
855,474,070,143,770,701,144,857,594,146,304,615,051,243,193,617,500,455,859,
872,381,193,585,443,145,114,655,058,524,562,728,393,086,002,773,746,898,866,
497,260,561,080,094,040,503,375,620,875,802,551,837,071,466,890,490,709,697,
205,110,494,664,489,867,065,349,418,188,832,126,848,849,679,974,315,372,242,
463,571,281,623,880,267,590,326,758,138,010,644,729,853,281,164,178,270,277,
280,435,719,633,658,276,986,395,178,019,820,420,995,235,025,363,392,090,134,
202,882,128,648,261,959,497,153,465,720,083,285,798,023,457,564,860,527,312,
261,869,923,408,205,280,078,124,929,101,598,202,586,025,914,167,055,389,833,
142,448,694,765,908,891,117,671,368,957,221,702,287,374,453,190,453,399,472,
523,018,422,521,572,878,411,523,379,232,990,641,542,579,912,480,279,853,618,
417,355,385,372,093,226,899,103,927,507,468,726,832,760,578,554,402,014,453,
073,293,280,588,702,253,102,757,880,722,489,868,557,625,838,002,035,285,555,
283,807,739,171,254,983,683,069,684,186,698,982,429,521,533,879,034,321,211,
664,879,115,859,765,351,966,939,789,463,699,939,159,252,379,079,793,624,787,
905,713,515,149,347,770,272,692,433,011,318,374,959,200,429,452,438,893,949,
790,290,451,285,311,744,740,272,558,443,710,429,867,381,547,898,875,938,198,
779,964,399,655,509,140,617,577,676,573,729,217,346,419,675,991,181,080,540,
608,956,402,239,748,657,207,565,063,970,767,699,223,297,228,050,947,695,361,
688,223,812,942,421,533,968,148,216,832,986,099,946,274,279,781,637,260,147,
748,974,228,114,564,433,983,944,924,214,549,613,864,119,732,432,700,959,054,
308,068,617,189,357,404,768,640,413,922,815,567,826,149,865,045,997,757,576,
105,193,011,320,949,237,511,360,394,626,781,836,664,633,689,920,031,401,466,
263,898,521,866,889,626,557,745,086,727,074,546,839,208,711,527,904,385,759,
753,277,331,401,081,739,184,204,147,907,862,794,299,915,017,720,329,524,913,
652,539,684,267,542,802,592,386,542,791,828,182,042,376,053,996,563,631,449,
821,326,903,149,101,084,990,746,259,523,671,066,655,685,870,634,813,400,485,
068,628,153,197,649,316,316,396,611,630,332,898,396,270,094,218,827,321,517,
013,943,485,833,003,868,289,159,387,782,993,803,221,732,332,769,446,136,247,
738,940,679,284,070,820,073,747,034,445,004,081,690,924,670,326,497,964,767,
175,780,885,641,496,058,438,650,154,409,826,824,633,880,019,418,025,469,119,
254,854,485,630,341,080,231,068,620,263,619,883,325,830,862,422,753,198,918,
957,208,320,481,431,614,382,750,616,346,420,668,083,807,106,924,733,745,252,
488,256,736,081,970,502,131,742,115,168,962,859,132,101,419,579,550,732,825,
652,164,989,333,679,988,718,954,731,709,936,901,637,542,954,896,105,342,316,
353,867,383,837,829,176,747,505,657,023,867,543,975,594,295,651,242,656,518,
823,599,268,899,297,475,735,295,531,029,255,396,593,019,545,440,514,987,823,
946,833,907,351,948,805,321,849,638,437,235,007,592,018,735,013,153,519,265,
680,941,521,448,286,115,225,109,533,370,020,831,629,310,607,405,770,836,554,
076,950,241,749,856,677,940,212,561,934,752,123,383,752,762,625,078,743,734,
933,029,668,969,172,636,971,779,068,767,750,354,894,773,669,883,668,268,259,
777,266,710,672,050,658,431,181,971,346,672,722,472,209,464,736,429,841,306,
485,500,279,816,419,348,974,103,837,450,809,190,252,534,151,544,529,010,937,
450,921,380,245,795,348,388,618,151,881,032,661,160,348,539,815,236,164,582,
224,114,804,566,166,065,057,439,222,470,706,295,090,396,040,638,130,157,697,
402,637,228,534,232,063,233,862,124,336,264,358,135,302,861,483,522,030,722,
279,163,165,046,405,820,662,247,251,683,877,573,689,993,901,952,932,728,633,
902,510,441,062,765,750,689,926,059,054,938,649,464,116,668,093,620,078,620,
669,246,317,634,125,079,319,698,642,926,977,176,775,189,496,385,397,736,725,
144,445,071,401,493,742,174,136,978,307,473,410,626,496,746,122,200,857,339,
424,316,176,711,649,498,881,220,545,324,452,458,705,052,635,317,898,916,915,
049,998,907,882,119,651,019,280,112,013,245,874,513,905,515,453,343,463,277,
437,672,992,543,427,914,417,402,414,803,892,819,497,166,964,681,855,192,672,
886,646,514,045,313,741,537,090,331,849,639,784,192,396,567,366,295,243,550,
228,648,748,775,347,042,507,722,107,871,590,224,073,863,381,110,627,232,879,
311,559,337,136,078,972,136,491,709,901,547,308,670,275,873,536,793,372,889,
022,055,315,329,275,606,993,958,740,293,074,109,181,534,281,039,134,427,462,
545,507,836,857,709,615,362,369,401,908,072,289,603,996,318,097,109,816,440,
150,940,548,352,971,904,956,013,669,673,449,089,357,575,644,575,547,561,319,
427,405,703,013,544,935,643,169,664,487,627,717,779,016,487,282,574,473,028,
793,350,899,961,797,223,164,753,680,366,241,446,650,182,307,560,375,675,063,
488,920,337,709,253,203,348,609,047,982,396,869,205,765,669,807,341,796,701,
482,131,635,399,673,968,030,999,619,775,738,756,958,102,273,136,435,715,661,
649,729,948,046,588,360,934,192,930,634,079,755,672,984,401,518,260,789,097,
015,893,643,399,048,854,942,707,094,859,725,371,313,771,221,638,495,101,929,
165,244,626,212,060,159,243,494,704,049,066,271,494,409,179,046,662,631,601,
041,104,042,917,609,485,305,662,509,510,794,968,755,211,162,313,775,455,421,
854,689,321,261,763,712,339,341,355,842,805,277,276,011,376,562,900,312,449,
259,740,395,219,942,043,278,191,833,761,283,893,248,893,022,352,925,657,586,
031,248,227,809,699,388,394,907,759,801,726,880,884,415,035,053,123,374,413,
180,288,716,513,722,117,217,102,313,317,944,928,861,047,580,200,330,620,173,
033,772,022,007,054,065,529,761,481,646,382,321,065,947,899,420,680,078,065,
125,568,271,758,534,779,960,725,937,266,850,498,891,003,442,731,314,725,709,
555,624,260,106,244,093,046,759,770,638,511,505,101,043,349,593,348,704,190,
416,202,375,898,365,910,029,146,188,122,092,297,892,397,340,017,674,586,872,
713,572,707,791,476,685,586,884,628,412,838,396,419,800,210,255,139,326,449,
864,576,640,237,460,324,893,932,391,246,552,535,044,023,565,436,815,123,383,
826,737,172,226,344,915,769,578,690,145,851,927,370,967,085,829,702,524,928,
121,363,361,783,573,398,781,900,765,937,399,819,724,666,759,977,275,463,331,
462,979,131,265,758,934,153,880,946,600,697,161,158,914,836,177,046,461,665,
382,095,176,866,738,500,771,943,019,751,102,046,435,389,989,990,625,825,097,
088,264,533,749,592,299,530,883,358,844,786,199,478,371,547,389,906,911,521,
423,564,085,522,276,490,642,471,585,079,854,418,992,025,209,815,902,224,005,
785,763,011,592,410,920,728,824,218,608,811,085,083,444,101,354,785,625,885,
771,444,836,711,480,596,199,428,470,921,943,084,020,293,366,347,589,307,816,
119,237,542,609,548,430,952,638,564,808,249,852,381,228,216,198,974,010,614,
578,516,583,067,955,411,242,467,099,095,254,669,575,043,645,940,972,336,903,
712,691,546,840,446,814,461,298,717,771,742,087,549,666,671,424,437,822,278,
216,996,354,471,084,010,068,404,068,932,120,158,352,606,826,304,537,786,446,
287,117,794,847,835,293,968,294,672,116,697,968,457,385,278,337,750,695,947,
290,367,068,418,058,063,382,036,727,115,372,188,023,633,664,661,427,652,779,
499,613,009,653,321,291,960,308,777,552,781,305,928,958,870,974,529,272,624,
416,735,099,134,723,105,541,491,892,965,550,199,518,132,754,296,864,015,960,
629,908,731,272,591,584,291,613,801,920,190,847,617,581,374,947,769,058,720,
451,071,626,166,251,509,232,008,467,383,216,325,328,004,339,695,633,385,271,
812,299,461,653,604,630,204,218,354,116,281,769,602,277,583,257,660,708,073,
451,000,324,693,740,441,208,837,422,220,244,140,018,619,881,731,296,842,041,
605,867,192,737,769,304,951,121,960,347,170,042,132,262,441,063,150,197,379,
580,608,620,134,432,859,890,152,575,039,846,741,946,174,312,504,169,291,543,
721,656,961,605,250,273,344,862,088,610,492,256,211,231,645,635,152,309,243,
384,059,353,026,355,023,655,818,005,843,749,581,499,416,725,128,989,418,506,
543,037,622,941,427,281,085,007,273,138,393,263,237,540,159,948,284,130,797,
463,633,804,432,369,071,514,091,884,554,304,514,374,758,927,904,848,848,534,
283,399,568,939,078,711,912,543,919,821,158,236,071,435,006,295,343,219,278,
031,716,367,643,166,409,107,053,448,420,931,089,858,460,095,369,556,288,088,
387,250,477,289,794,660,640,229,995,083,189,045,032,445,116,868,413,230,086,
380,770,632,818,433,348,272,427,850,214,843,600,513,865,221,411,679,387,515,
921,110,453,113,624,664,249,292,094,503,321,179,116,846,132,835,769,229,647,
670,368,434,954,652,725,921,056,117,748,328,347,362,396,550,656,286,198,578,
527,025,418,673,578,402,111,791,824,099,021,651,758,775,433,686,456,439,554,
057,545,851,880,022,501,989,238,539,291,294,331,099,327,398,549,043,760,536,
141,645,307,961,832,828,379,822,069,995,349,494,490,784,296,778,690,961,362,
790,773,436,843,427,673,331,246,723,724,499,857,147,277,607,533,550,059,561,
883,539,198,733,674,641,879,581,368,004,920,032,580,283,358,110,032,835,905,
223,152,124,592,465,096,637,908,009,121,207,440,656,353,991,568,593,192,145,
971,640,767,925,706,894,438,709,734,887,376,093,533,126,149,031,722,007,401,
315,468,739,211,392,835,147,765,163,543,568,024,325,583,882,522,616,045,765,
216,379,673,459,601,000,026,833,870,891,853,968,981,809,066,376,765,572,518,
466,702,727,955,310,951,302,693,009,975,292,800,303,322,259,579,681,862,172,
533,496,567,061,119,287,934,966,598,486,139,431,448,669,555,332,090,680,308,
711,269,417,987,445,929,458,736,521,704,174,066,707,569,803,848,370,839,632,
064,369,769,381,742,425,451,262,973,124,994,355,380,556,860,841,457,258,595,
134,163,035,188,276,876,493,722,141,981,330,524,620,303,680,332,542,730,864,
777,397,807,313,983,261,434,996,724,842,581,049,705,668,779,698,414,051,706,
583,038,730,747,529,659,499,961,347,844,118,858,355,966,660,610,055,622,127,
123,620,498,617,275,099,129,716,477,383,200,174,146,868,005,687,233,943,818,
004,683,371,457,241,247,275,507,915,302,184,853,703,197,245,515,603,752,403,
313,123,472,312,556,254,053,105,229,226,399,640,268,848,507,354,521,413,002,
370,771,592,909,541,808,620,778,004,608,604,889,961,647,253,951,303,077,441,
266,896,931,932,683,101,710,860,851,781,573,993,630,103,898,136,005,763,151,
339,180,585,529,546,652,589,961,733,942,450,513,934,044,571,166,755,372,634,
226,158,736,005,756,885,300,257,388,826,411,707,963,528,978,251,576,508,677,
222,724,709,476,250,749,067,857,965,520,029,037,479,449,482,365,927,374,712,
085,982,874,189,922,265,572,985,348,946,832,464,346,134,058,117,201,191,295,
812,741,206,448,225,176,399,118,164,581,868,052,296,230,821,775,880,438,035,
791,026,800,389,844,872,655,179,286,339,097,907,748,934,511,523,497,327,410,
134,699,124,519,759,618,187,031,241,416,086,653,963,487,957,160,984,772,447,
443,648,130,413,208,150,358,448,076,190,581,986,068,350,283,548,542,105,286,
006,476,771,963,110,793,641,592,971,102,704,370,518,907,939,513,613,152,279,
950,854,621,998,003,981,291,111,686,607,405,275,627,596,439,514,558,034,628,
775,134,290,814,292,867,553,530,873,661,709,948,614,848,582,713,514,484,797,
302,744,712,424,656,877,091,467,505,540,648,447,989,783,099,578,472,651,047,
820,215,555,971,950,412,244,451,145,932,803,927,126,752,437,941,367,496,729,
469,167,408,255,341,138,742,846,477,164,223,283,204,293,169,079,459,108,600,
926,100,173,231,419,004,578,534,159,099,233,342,999,090,266,706,209,191,985,
917,040,871,168,356,467,316,751,112,451,143,786,982,881,057,781,946,138,229,
162,068,603,776,384,933,543,514,168,871,569,650,931,386,747,986,899,270,998,
908,277,106,826,088,389,431,356,237,219,361,850,368,816,702,047,491,044,689,
464,277,350,554,449,074,688,949,624,654,287,587,327,182,252,700,911,312,925,
501,513,686,990,023,037,058,584,952,634,511,626,618,947,507,167,727,283,622,
808,601,218,285,815,009,027,194,589,756,670,194,847,046,511,823,978,309,486,
690,107,639,549,654,066,400,167,916,525,081,612,250,039,208,127,746,017,633,
454,343,036,675,070,616,970,943,291,553,167,119,587,543,440,479,554,998,419,
342,409,709,466,155,330,855,899,324,049,432,832,711,558,368,741,534,275,491,
697,267,493,242,035,137,392,707,007,447,335,188,446,205,514,639,761,957,991,
397,435,392,375,797,359,537,590,942,597,623,778,628,317,728,970,918,999,023,
866,315,043,385,462,733,808,316,971,222,074,192,212,571,197,011,740,831,568,
469,644,730,209,181,388,908,563,376,245,269,867,485,165,016,798,756,267,643,
670,979,328,117,260,597,632,863,678,209,445,517,297,828,129,512,777,813,861,
832,308,391,732,374,385,925,615,586,430,835,303,119,504,001,250,962,621,956,
377,553,575,682,374,514,676,794,751,181,556,863,956,075,739,211,345,536,424,
252,127,533,225,818,437,739,579,904,965,418,298,657,541,208,554,535,711,258,
986,473,073,431,728,643,435,512,137,657,212,100,241,428,264,708,149,631,277,
978,417,300,631,125,958,474,336,861,474,386,427,989,764,651,042,588,507,571,
563,363,513,004,848,649,998,583,415,273,678,590,741,326,179,463,428,420,413,
736,668,736,933,546,198,077,860,602,569,909,464,003,803,695,807,713,887,956,
220,911,708,242,742,524,009,668,641,042,135,358,491,129,731,984,500,646,253,
595,538,701,954,758,815,268,385,904,803,474,711,063,551,386,929,559,937,852,
751,683,841,530,549,438,880,484,348,395,508,395,329,712,402,050,140,956,602,
148,029,767,621,406,407,720,306,966,260,687,731,338,756,091,587,930,846,946,
128,980,095,731,945,964,397,019,291,345,437,983,121,618,225,028,164,336,804,
595,880,046,604,798,701,555,853,401,770,805,723,217,862,272,174,700,574,978,
236,951,223,591,229,581,499,199,223,610,578,097,196,233,257,428,584,565,103,
034,071,766,097,249,691,347,987,460,268,533,949,447,473,816,253,938,404,050,
787,277,611,297,325,712,097,150,118,543,209,700,079,255,188,652,032,076,653,
868,770,688,025,048,603,426,998,462,388,126,726,713,627,804,886,943,125,166,
231,273,574,607,408,307,632,016,976,886,959,848,178,111,023,701,413,664,118,
972,734,916,067,049,723,257,924,200,034,682,737,782,025,016,812,987,873,798,
060,359,747,141,252,994,274,158,258,219,976,041,970,771,015,019,398,399,192,
559,025,876,753,145,880,632,188,533,855,352,504,346,054,675,135,450,145,190,
528,753,612,517,708,182,134,685,332,881,220,402,898,750,321,249,384,391,476,
969,470,115,928,847,332,095,130,288,545,898,894,127,957,802,391,790,429,422,
499,684,111,922,316,463,240,032,361,620,217,443,488,279,443,641,691,262,370,
079,850,828,274,667,031,403,282,080,709,641,847,358,063,461,918,842,073,795,
131,869,437,500,977,498,422,213,945,451,167,619,837,581,833,961,504,492,387,
816,439,575,118,073,637,319,376,223,811,561,058,822,240,378,473,715,051,685,
094,542,033,433,232,217,132,277,745,224,593,331,090,043,283,211,394,320,323,
530,973,740,966,155,392,854,686,957,297,869,603,018,179,740,974,409,021,003,
360,409,861,033,213,557,432,252,214,277,861,252,047,614,955,234,213,709,399,
247,570,778,057,654,489,549,818,309,837,152,779,032,628,179,205,272,396,774,
425,618,392,599,005,479,270,906,006,357,983,536,455,964,164,892,982,242,588,
221,006,547,399,064,686,482,810,773,750,230,824,733,285,111,958,027,406,892,
521,056,969,423,964,377,752,017,056,304,303,519,432,113,645,441,128,684,338,
402,869,454,613,989,040,382,997,677,283,517,706,855,882,813,194,301,105,563,
178,083,184,768,814,802,055,882,106,152,531,068,175,065,945,802,512,777,837,
545,268,118,090,144,847,867,350,470,579,068,066,933,972,624,098,576,492,102,
137,199,630,977,470,804,474,404,237,458,489,639,967,704,527,245,133,068,679,
699,206,794,591,791,847,477,156,489,529,072,447,565,761,847,914,231,529,059,
589,291,364,997,831,767,245,764,513,521,620,014,001,639,232,587,025,201,867,
941,052,048,911,819,584,649,392,791,986,674,939,512,563,058,207,989,108,133,
704,705,394,711,606,815,411,043,372,568,173,827,155,633,900,121,867,717,534,
144,469,691,498,125,294,923,649,874,366,699,135,776,205,558,449,113,223,588,
897,613,939,364,283,639,800,783,502,627,850,060,092,246,358,328,141,288,614,
595,846,393,764,142,749,690,387,404,599,730,622,879,085,187,290,326,438,052,
366,406,682,025,563,976,662,614,733,512,286,768,453,628,921,179,772,052,826,
877,143,839,334,824,097,634,724,066,518,296,316,917,010,460,341,048,269,894,
659,646,190,555,263,664,508,398,918,838,117,936,112,024,878,227,367,919,046,
303,039,207,809,260,574,855,089,162,810,394,461,500,814,652,119,196,692,491,
151,141,602,582,752,680,715,854,369,352,810,007,559,842,947,348,020,627,331,
886,972,723,372,396,051,816,621,812,116,226,734,499,949,131,178,614,513,942,
856,814,518,274,343,571,619,256,510,541,158,278,264,420,966,618,999,911,999,
279,953,215,623,468,214,347,623,587,316,070,429,930,304,310,897,698,538,791,
375,267,517,616,337,328,889,439,675,477,582,575,374,301,401,744,990,363,682,
986,053,515,282,545,722,745,377,959,601,849,220,861,382,322,928,821,971,202,
315,150,522,926,235,835,507,945,574,900,014,858,996,406,267,333,931,591,298,
252,706,430,242,716,246,786,892,043,659,475,062,458,941,112,754,626,155,357,
450,883,086,754,244,844,537,634,884,450,026,447,287,754,014,041,635,172,716,
443,983,464,488,558,620,354,052,813,634,677,095,486,666,688,528,564,634,668,
962,491,000,134,557,027,369,376,336,838,752,400,442,828,134,865,469,789,576,
384,656,776,156,494,643,328,082,533,462,043,546,752,903,935,364,425,739,212,
662,338,259,174,701,378,636,258,946,262,605,758,862,207,695,999,441,441,411,
405,330,775,881,878,624,743,451,476,608,990,702,353,036,438,104,265,322,344,
220,157,996,014,401,065,993,441,317,130,047,082,324,599,618,497,612,743,701,
565,330,502,742,742,904,163,714,364,005,246,229,152,517,009,765,435,655,432,
450,800,173,831,486,285,812,488,611,545,607,098,886,604,898,747,165,099,341,
290,097,014,378,386,915,132,783,653,589,364,110,821,681,399,671,658,897,499,
766,626,027,774,763,672,929,631,154,997,931,373,999,791,482,193,577,951,059,
030,108,674,299,146,368,917,481,961,249,131,148,039,888,484,981,991,234,679,
406,261,510,518,771,154,947,179,900,933,142,279,342,761,028,030,250,126,082,
300,614,681,716,833,023,602,991,510,623,723,664,463,320,821,669,727,357,901,
557,243,370,439,623,086,263,575,889,989,004,008,762,965,141,123,146,809,512,
688,979,237,047,714,984,689,827,002,853,918,414,799,115,242,281,068,210,638,
929,483,416,753,912,784,189,670,614,097,878,430,236,235,056,117,295,075,121,
533,489,259,089,637,407,402,934,005,741,382,588,251,369,380,534,605,957,435,
620,287,922,576,693,551,699,240,204,593,095,414,322,704,634,725,571,631,263,
247,777,402,811,469,047,203,820,018,739,193,119,184,939,454,351,050,270,755,
371,213,069,682,759,289,783,256,330,859,000,065,215,251,105,696,362,876,170,
736,808,208,891,281,609,064,897,530,568,355,814,443,558,912,049,380,395,871,
315,520,911,441,685,410,121,443,039,217,277,423,894,869,332,161,071,927,514,
633,199,366,040,067,050,420,676,937,957,340,438,751,905,496,232,613,137,170,
189,183,093,509,516,274,052,633,013,402,212,019,596,406,829,609,810,072,215,
185,385,148,967,014,528,731,159,780,446,653,355,802,389,087,855,280,107,434,
021,074,450,383,881,104,878,942,214,249,442,504,098,677,221,450,388,497,913,
114,501,168,132,392,401,503,906,995,468,532,606,082,837,367,987,578,765,974,
236,536,601,465,222,621,341,965,401,526,229,775,968,828,693,873,100,987,244,
464,194,282,457,617,056,435,971,276,462,817,726,397,270,509,550,753,308,272,
559,715,257,805,585,491,047,277,617,143,553,663,560,026,599,115,157,693,972,
733,549,033,337,287,005,221,003,477,539,687,415,826,384,156,811,403,134,068,
925,160,568,569,707,373,653,560,491,496,311,566,366,995,122,534,588,783,912,
287,584,240,348,268,908,463,930,424,585,727,726,111,851,030,810,606,066,551,
393,698,727,176,364,664,098,353,957,943,506,226,400,497,655,457,156,626,003,
993,248,206,109,207,212,702,779,885,527,831,047,646,132,892,328,903,306,319,
290,465,020,312,951,748,295,661,770,551,171,001,828,772,518,211,294,262,599,
747,190,742,948,457,839,761,670,368,122,770,890,071,838,814,769,803,744,274,
759,287,482,061,574,057,677,283,418,246,905,521,873,556,630,873,021,626,693,
477,852,828,295,461,262,458,714,609,264,633,607,884,498,599,390,798,590,348,
296,822,763,501,187,877,087,196,980,530,406,051,672,519,886,874,659,216,373,
770,977,172,242,974,590,867,432,251,032,900,530,925,963,728,763,545,566,249,
327,795,276,692,666,670,980,876,208,142,974,700,784,484,064,299,937,999,943,
306,126,427,072,110,952,408,381,195,487,673,378,938,936,626,265,264,917,366,
910,736,390,212,435,367,563,922,883,179,425,734,821,815,986,018,553,040,570,
935,719,546,591,564,521,271,097,891,520,683,439,317,326,116,696,973,408,343,
476,744,685,604,427,684,872,307,294,673,143,773,656,370,872,464,780,411,504,
901,603,861,010,497,583,121,899,026,598,960,564,979,171,555,411,208,272,024,
711,017,132,422,245,560,162,292,032,421,329,987,615,296,533,216,702,156,823,
639,184,094,754,024,067,883,395,057,007,706,718,172,590,356,887,017,183,982,
148,047,526,741,982,161,300,755,048,320,536,987,659,627,118,750,578,100,735,
853,950,226,169,131,865,542,669,781,766,733,895,808,713,814,180,369,151,207,
348,416,663,256,922,082,380,852,140,170,946,223,908,570,869,710,016,904,256,
939,341,758,928,272,603,505,708,519,152,068,698,402,592,392,539,476,485,172,
666,473,873,923,473,897,538,241,628,181,420,824,941,780,713,432,188,829,154,
407,119,161,059,500,481,459,560,110,624,737,149,492,553,175,152,154,003,039,
622,379,651,044,466,178,383,492,006,823,653,715,554,993,039,370,207,682,766,
772,287,749,703,739,078,522,599,916,086,169,689,273,949,549,224,791,758,710,
965,409,709,132,375,453,768,354,030,323,077,368,218,245,598,606,679,648,720,
746,558,666,810,272,711,335,929,057,421,420,905,528,808,479,529,081,094,418,
989,109,779,455,070,274,369,911,963,230,320,452,736,574,679,177,345,214,584,
994,650,773,999,611,077,333,963,497,683,821,168,253,235,460,847,008,118,387,
612,549,370,654,424,681,504,333,545,029,605,408,315,690,237,569,305,945,877,
732,802,466,947,261,528,335,534,578,139,759,746,095,110,229,638,166,569,213,
867,392,343,523,068,562,593,352,948,403,033,369,261,979,304,346,385,775,909,
905,229,440,244,078,202,002,593,695,909,824,057,224,994,945,135,649,067,710,
576,435,716,651,045,777,568,696,800,687,680,661,972,363,133,824,384,007,692,
141,924,104,406,517,787,869,911,871,837,026,127,427,466,097,561,912,202,579,
576,360,929,721,080,206,055,229,236,082,869,447,753,583,493,058,384,119,739,
998,836,145,798,698,917,347,544,356,331,076,008,867,122,612,869,055,898,641,
643,666,178,316,692,257,290,550,928,617,771,129,973,225,972,384,968,017,528,
967,062,863,380,464,398,234,221,146,635,720,686,695,993,719,784,940,908,707,
142,195,842,517,545,185,838,857,979,444,642,785,733,909,336,401,965,254,545,
731,641,981,868,920,651,581,080,834,765,629,484,508,524,111,649,500,144,351,
684,258,409,250,303,120,505,240,983,246,236,738,898,460,284,087,874,816,269,
828,257,675,416,531,845,378,296,524,777,688,328,919,600,559,755,450,916,919,
216,924,378,307,868,502,063,824,884,107,317,450,600,449,151,314,791,956,051,
430,531,361,269,988,228,557,224,108,101,831,614,163,517,242,361,351,036,983,
875,795,499,365,322,913,415,017,198,906,005,675,680,788,131,586,262,110,992,
893,283,682,206,801,844,511,769,872,779,096,726,467,232,265,911,919,127,685,
756,976,726,017,834,783,153,614,434,468,492,773,618,298,360,173,413,572,370,
417,962,682,820,423,314,707,338,468,796,041,449,346,626,372,202,504,642,317,
083,265,224,879,570,855,163,889,191,982,417,962,671,265,416,139,872,001,262,
347,649,506,079,690,283,646,891,229,436,066,602,986,801,965,704,823,564,853,
269,335,767,909,528,463,594,928,310,097,409,199,899,558,860,070,386,770,550,
016,153,564,570,989,674,550,757,513,747,707,518,271,281,857,203,415,220,506,
264,168,345,196,582,345,473,148,579,310,817,320,584,387,658,289,174,950,835,
927,948,937,613,793,831,007,952,891,775,903,230,511,771,416,795,417,231,029,
397,951,528,382,026,236,534,116,008,209,610,452,579,956,211,327,485,291,900,
295,168,969,639,007,114,567,777,258,447,029,148,017,617,446,588,138,099,644,
327,510,957,915,122,429,062,221,486,739,730,978,046,651,158,519,728,116,118,
058,366,004,365,395,765,647,227,993,142,138,794,774,569,682,458,134,352,366,
117,149,868,697,514,757,873,184,890,129,324,780,543,523,307,242,353,953,918,
826,643,330,255,830,476,122,764,315,461,598,648,418,356,910,149,678,022,436,
257,696,622,954,690,938,265,778,062,966,386,659,190,988,149,484,986,161,883,
529,977,192,412,590,050,701,638,387,196,932,213,532,900,380,566,016,512,533,
320,235,808,443,969,463,788,122,491,326,037,311,599,485,645,261,319,913,023,
652,323,760,944,447,687,098,322,173,545,833,579,735,084,429,474,729,546,401,
739,036,239,065,554,463,779,804,482,891,969,190,531,737,244,993,669,479,596,
210,013,982,671,716,478,004,720,831,685,776,303,679,293,982,458,076,749,391,
755,698,613,416,047,423,272,410,196,971,304,874,785,496,652,868,295,863,900,
346,693,997,265,748,445,546,247,585,909,277,444,602,600,556,709,092,814,630,
594,227,457,259,990,786,334,885,327,994,135,993,460,190,771,866,862,045,133,
549,630,713,329,185,123,243,863,813,902,423,271,184,200,579,243,950,628,906,
691,471,795,559,521,340,923,769,435,107,769,693,117,761,504,023,953,005,981,
002,576,161,147,982,372,773,502,170,619,291,655,128,392,436,952,279,018,625,
741,452,993,562,501,328,004,016,896,010,819,457,851,385,806,479,176,309,196,
368,216,706,800,291,018,759,153,374,592,548,646,061,179,025,645,641,769,823,
727,941,235,347,829,236,610,144,001,697,996,196,907,650,123,368,285,553,448,
577,636,575,668,862,321,112,372,916,829,175,156,630,607,041,003,766,235,988,
733,333,049,492,210,603,735,080,614,472,953,448,899,146,313,939,817,294,597,
522,109,531,096,340,571,836,955,783,910,836,524,553,383,632,764,249,251,359,
318,623,844,875,977,680,337,670,806,229,133,111,916,318,389,466,778,640,188,
195,694,160,477,584,418,249,957,074,175,579,201,955,202,623,807,202,013,151,
266,233,151,085,579,415,868,420,629,375,855,034,495,187,886,626,532,837,303,
172,950,549,965,869,555,627,070,590,694,650,747,562,764,757,782,343,390,896,
866,944,441,983,687,100,736,338,339,798,556,108,710,056,031,785,210,119,980,
566,682,583,703,420,189,252,780,350,553,323,797,532,166,707,521,475,467,168,
805,890,530,410,728,392,852,829,463,339,768,119,325,230,740,658,218,271,294,
803,051,000,301,900,751,500,384,813,223,439,578,731,809,894,278,382,700,544,
864,928,541,307,101,790,901,952,739,923,081,129,807,198,603,273,938,465,678,
459,211,710,192,464,253,630,469,902,421,381,504,313,345,275,186,120,930,745,
512,968,015,411,376,069,005,775,320,572,731,202,959,033,121,182,563,822,142,
211,294,235,448,359,592,744,048,271,583,483,161,123,240,598,792,211,171,684,
441,301,927,013,698,565,612,187,084,459,106,497,071,816,278,846,110,260,159,
861,613,425,990,815,873,574,448,534,997,687,993,522,458,499,840,564,671,668,
575,382,636,043,741,207,974,201,953,233,908,580,952,271,682,040,055,852,704,
437,836,849,292,451,432,588,377,240,057,353,372,431,145,065,964,070,103,450,
959,547,219,052,070,241,974,411,653,197,455,873,394,607,640,237,211,709,377,
913,273,986,729,610,771,441,665,392,321,777,626,066,645,830,471,333,733,649,
010,721,887,840,784,148,471,648,938,013,084,464,766,397,360,456,053,145,310,
444,233,435,302,244,064,189,091,998,126,559,005,944,264,715,172,833,533,194,
567,197,213,081,138,820,016,408,489,715,070,318,670,200,686,047,361,771,155,
778,898,855,457,583,565,732,478,596,176,565,486,443,386,620,220,326,749,248,
232,971,723,636,194,023,896,432,185,127,628,035,783,861,799,901,021,419,026,
262,023,512,686,590,910,349,960,033,200,887,265,284,025,907,219,308,789,766,
500,095,735,693,250,859,482,732,431,320,186,941,026,766,522,357,104,120,942,
765,717,454,949,701,416,454,290,714,194,587,929,840,815,497,396,495,105,109,
211,495,683,776,911,572,872,350,594,445,931,981,633,116,665,973,599,012,139,
618,714,751,607,923,778,755,635,602,726,566,897,753,882,197,156,165,091,301,
140,172,788,608,106,391,663,342,313,684,643,435,202,304,488,519,629,134,394,
963,166,617,786,589,461,371,485,366,788,313,571,973,303,200,839,809,054,188,
157,373,069,187,928,603,700,226,845,370,426,901,076,765,196,061,094,819,854,
134,201,235,201,212,426,447,321,996,644,261,975,947,397,779,998,713,248,840,
068,179,316,826,891,721,576,411,649,383,284,640,801,345,952,206,820,263,834,
372,125,683,235,577,601,091,025,479,119,585,211,774,223,930,652,188,088,024,
312,494,310,557,189,604,325,261,591,584,155,493,155,669,525,912,459,644,078,
884,322,194,409,608,843,275,184,909,949,368,896,655,932,096,025,714,185,224,
286,816,138,877,815,046,599,971,817,666,690,131,316,087,720,977,274,067,259,
330,113,956,716,197,319,780,426,606,526,102,634,281,262,040,707,786,631,434,
707,211,733,316,542,871,275,089,382,094,745,044,604,403,579,802,678,053,594,
340,452,299,228,421,209,713,422,405,055,822,254,247,390,864,935,940,759,034,
543,424,118,483,283,881,657,811,562,003,641,348,093,067,522,391,328,419,127,
383,110,093,112,421,477,527,612,991,816,159,253,925,516,050,901,676,812,474,
377,709,762,570,365,454,206,396,352,833,580,683,854,386,105,105,411,794,449,
492,977,945,495,448,844,659,031,849,684,610,567,907,131,896,073,005,977,742,
216,676,722,340,494,570,576,019,859,586,643,954,529,749,844,064,851,435,832,
576,980,039,863,854,579,815,782,905,885,303,420,482,944,176,514,693,576,275,
386,954,711,937,636,643,973,150,458,887,526,770,319,942,246,609,133,232,188,
543,275,673,908,566,472,926,438,876,296,630,340,559,516,951,570,713,159,576,
277,660,259,553,017,992,432,061,669,529,235,851,857,008,214,946,200,806,934,
566,383,033,465,559,359,899,021,221,514,179,583,840,599,846,276,465,423,301,
119,194,258,747,992,369,703,728,279,769,566,099,741,358,680,171,408,972,997,
143,458,201,052,247,815,401,290,327,468,656,100,386,319,923,196,688,488,242,
869,443,563,021,618,173,825,039,451,489,443,699,057,777,558,108,591,107,292,
214,860,142,127,073,790,532,956,420,593,091,569,470,202,645,468,941,628,274,
311,108,329,857,955,224,641,092,322,812,622,067,238,360,428,930,227,536,873,
630,734,657,468,370,770,244,351,845,143,481,194,401,098,093,306,223,168,273,
601,291,858,921,908,583,918,582,396,707,367,495,473,453,047,900,822,766,573,
114,060,000,901,067,558,852,456,431,714,391,945,249,814,144,461,633,446,197,
465,898,314,709,066,538,468,804,791,433,490,212,799,726,607,691,166,613,428,
716,815,232,620,017,636,334,198,754,484,030,013,839,233,845,088,723,578,068,
965,242,762,793,517,266,426,262,304,237,855,612,396,363,371,818,648,333,107,
536,907,306,695,442,831,834,364,754,336,498,246,236,357,033,388,058,872,922,
279,323,073,847,011,229,974,277,870,353,677,125,238,010,029,591,708,652,978,
564,574,193,038,399,413,256,264,053,777,533,308,469,416,145,118,975,178,145,
055,245,186,443,254,155,993,081,345,405,305,183,052,612,662,326,666,187,344,
501,221,050,943,735,182,039,919,301,284,043,941,471,350,935,900,324,092,296,
508,552,388,182,180,424,661,407,318,767,329,356,825,845,682,115,451,543,488,
723,938,261,156,047,728,696,576,942,496,405,760,226,837,277,977,769,630,549,
076,802,425,938,913,978,473,185,477,221,333,226,963,757,883,564,704,650,924,
192,964,371,739,111,168,695,486,299,435,062,949,404,121,575,780,804,261,503,
501,257,676,055,404,047,721,206,356,206,923,712,292,545,580,780,971,408,204,
278,540,795,643,071,166,248,147,272,298,583,324,956,873,062,993,650,298,226,
538,839,547,873,765,242,629,254,432,087,318,476,531,732,169,328,823,289,348,
896,888,561,196,107,877,866,636,808,388,217,764,222,960,787,036,810,184,462,
918,272,965,086,995,605,756,378,845,476,534,584,985,473,496,192,864,154,668,
161,688,177,868,157,313,070,376,348,617,246,436,503,871,948,082,425,658,540,
057,027,870,778,835,612,157,488,992,861,644,939,736,253,059,399,246,476,387,
181,605,963,737,164,456,109,467,076,025,279,330,750,117,427,971,082,766,256,
696,656,338,765,896,467,643,889,416,701,327,012,702,104,155,175,936,629,727,
491,771,931,409,108,927,466,103,610,468,705,889,937,878,380,235,934,065,782,
233,564,385,904,263,071,481,525,991,282,479,102,570,268,769,521,005,725,939,
788,435,210,298,821,080,690,138,211,776,957,065,401,108,630,134,639,887,538,
214,705,501,020,144,112,541,326,062,922,512,364,387,420,394,558,091,034,542,
122,551,129,761,074,102,990,295,893,518,951,984,329,107,334,441,143,653,414,
481,069,169,612,736,016,696,860,563,495,553,165,614,294,759,052,382,651,270,
544,488,891,346,031,353,657,446,271,126,677,546,150,948,020,843,628,615,378,
231,382,840,962,914,358,156,498,533,166,675,988,214,709,717,831,231,596,512,
517,084,035,147,389,901,653,454,073,434,958,472,451,181,768,260,529,722,001,
399,202,994,914,756,283,790,344,489,268,113,974,517,057,548,379,059,781,679,
890,390,480,405,670,694,310,012,002,678,426,802,147,272,014,558,743,956,338,
588,271,146,766,262,335,567,411,094,694,357,188,955,412,313,657,333,625,895,
909,827,300,855,779,364,459,123,975,962,835,972,870,631,869,778,432,103,320,
893,770,698,075,467,912,644,142,139,479,333,761,867,869,379,228,239,520,271,
640,439,703,694,498,436,894,463,549,837,227,099,559,971,096,013,721,852,128,
098,571,719,311,523,825,799,257,063,398,240,211,575,694,430,138,872,753,777,
196,047,763,694,604,699,416,498,781,903,273,585,056,447,429,205,375,767,788,
643,647,092,626,620,190,399,253,055,631,268,397,470,979,454,068,671,781,210,
784,647,741,479,811,379,419,494,180,048,619,077,233,138,406,304,101,934,211,
027,578,091,802,986,619,240,386,475,955,789,865,153,389,060,318,696,184,246,
648,614,643,855,464,959,658,836,827,633,033,549,298,231,294,825,623,990,180,
977,222,415,373,905,751,266,169,709,959,750,353,852,040,729,899,597,795,866,
525,120,046,957,949,101,912,348,074,190,119,066,524,368,735,153,999,657,690,
909,071,871,194,449,421,518,162,236,092,813,722,856,611,147,178,851,166,342,
302,323,734,850,222,681,381,731,836,970,275,349,047,138,184,430,247,418,203,
345,673,012,912,009,053,833,523,044,138,773,702,809,025,694,584,710,499,898,
302,835,499,608,869,899,574,066,069,596,923,997,542,522,395,673,612,688,662,
578,221,326,501,304,796,406,930,114,949,387,913,828,566,370,981,400,915,148,
443,746,549,862,162,534,003,933,197,985,314,670,223,053,394,615,800,581,501,
244,269,130,707,432,765,743,637,724,748,479,565,143,661,994,205,592,836,020,
182,809,044,312,593,083,920,170,153,350,536,926,340,820,166,881,271,386,462,
563,258,730,527,453,206,900,432,510,229,175,192,188,612,562,463,167,992,132,
594,186,191,195,864,321,563,674,559,500,304,294,307,246,855,014,033,336,426,
999,593,599,480,011,326,869,192,084,775,796,641,949,773,605,656,561,074,513,
607,748,194,736,356,534,008,637,542,322,332,762,385,444,988,653,428,745,571,
179,078,524,089,597,029,852,385,566,875,813,081,954,720,421,122,224,728,465,
095,954,021,301,944,225,265,959,890,639,945,049,619,935,000,321,715,302,225,
002,870,431,948,691,856,414,055,827,388,414,804,192,643,877,486,330,507,440,
174,560,685,797,880,357,201,853,791,325,642,420,087,208,139,981,719,865,312,
640,823,489,605,537,477,805,679,561,659,876,239,801,484,723,017,736,452,658,
310,895,355,055,827,558,883,683,292,879,820,728,607,718,743,800,410,495,392,
242,811,537,428,152,050,049,502,366,270,968,060,811,323,241,311,896,204,731,
132,024,695,134,645,516,865,091,196,075,892,129,376,986,219,639,482,845,811,
816,336,363,050,154,227,901,106,253,344,801,918,771,771,314,994,792,164,610,
041,095,709,886,941,721,959,707,704,329,678,461,270,261,343,595,861,249,179,
001,677,120,892,091,993,729,013,515,563,023,334,801,985,371,767,339,810,046,
159,694,431,918,730,796,046,453,932,713,069,949,564,568,155,814,389,849,678,
086,445,998,957,400,091,646,970,955,416,566,411,096,605,316,565,498,300,314,
763,607,506,983,214,948,078,118,650,398,712,315,677,025,831,789,502,578,083,
561,995,894,895,227,424,571,700,609,089,854,016,959,266,535,216,460,701,470,
350,085,944,154,311,694,424,334,845,366,891,814,455,469,698,100,720,014,750,
780,258,702,675,372,612,556,367,341,251,010,648,377,733,333,626,873,576,531,
071,847,590,417,892,912,743,986,809,592,986,370,228,212,046,361,746,622,363,
773,067,886,151,996,863,572,597,729,053,769,206,698,023,999,630,373,491,149,
218,132,957,919,945,252,497,889,923,923,209,734,700,346,242,247,344,405,810,
343,688,148,964,002,553,340,864,775,963,090,981,929,032,148,473,861,639,270,
432,332,806,313,983,805,289,945,596,961,124,004,059,274,071,488,746,416,766,
339,175,976,104,270,469,705,775,233,614,605,520,595,627,504,252,801,142,884,
657,234,666,408,093,928,568,868,231,431,540,515,260,955,880,114,822,005,023,
796,574,026,945,252,947,965,267,703,492,493,400,113,191,737,532,908,345,601,
527,652,604,347,802,523,682,845,613,250,538,366,189,934,442,153,814,820,606,
494,890,997,009,262,882,859,084,354,174,981,479,592,286,833,977,082,989,763,
593,379,519,563,782,678,754,148,453,510,883,037,099,949,472,724,619,293,602,
544,761,883,632,997,345,258,762,954,788,578,100,263,913,616,427,799,550,891,
298,920,659,565,413,994,776,546,050,771,583,039,440,939,192,733,022,261,442,
121,691,973,658,404,615,145,932,793,671,522,505,672,602,395,704,670,819,624,
862,387,324,086,579,996,901,208,703,190,845,319,876,314,588,499,304,699,583,
988,067,792,278,563,216,617,811,437,169,888,857,126,390,257,950,505,556,176,
580,116,333,794,533,977,895,406,998,528,089,459,978,839,067,017,090,534,734,
731,426,914,010,833,606,969,694,306,257,557,227,494,047,317,531,871,806,568,
510,601,158,201,811,468,031,620,942,266,761,712,954,053,414,575,988,335,423,
070,605,844,475,175,346,890,640,562,503,716,959,637,439,374,052,708,351,897,
972,438,432,085,402,535,730,420,326,677,726,005,949,337,115,477,834,193,937,
431,350,204,976,180,930,363,987,202,306,309,180,104,496,240,620,652,943,083,
787,703,311,079,345,772,826,548,242,885,562,205,549,769,135,397,993,857,994,
556,740,123,569,657,752,025,685,337,189,163,559,989,086,893,454,471,143,305,
061,176,611,114,983,089,617,565,874,612,776,507,207,334,405,443,507,617,593,
595,527,229,514,978,362,461,103,019,360,302,011,864,634,680,095,218,449,110,
881,265,521,800,482,973,994,957,244,580,421,544,954,980,503,905,196,286,817,
953,538,518,811,849,319,836,598,624,276,569,862,146,886,818,994,660,263,255,
987,735,599,130,656,188,798,228,742,858,643,029,317,442,524,644,072,499,155,
638,414,802,158,065,173,868,953,970,825,298,568,092,916,769,795,777,471,891,
996,656,209,278,302,290,012,831,953,269,417,433,187,253,491,394,125,174,998,
369,044,131,074,158,466,192,036,877,093,319,841,038,602,120,995,699,737,353,
890,657,983,701,227,661,632,058,250,411,091,134,785,844,136,586,677,622,317,
405,583,157,849,234,240,554,277,992,631,568,674,573,720,739,392,043,113,869,
096,806,083,320,840,566,048,288,824,424,222,836,314,249,415,441,398,960,357,
264,405,718,128,788,773,979,670,403,966,565,045,632,474,883,247,581,917,446,
838,606,170,588,425,491,937,552,251,743,239,714,001,936,046,297,616,421,326,
482,929,586,200,554,263,499,921,914,015,636,107,554,967,914,082,391,802,726,
552,557,735,168,905,116,117,567,809,218,393,394,664,775,546,000,853,180,249,
624,255,928,910,395,859,699,530,533,914,122,408,029,760,606,717,182,676,546,
090,888,570,459,421,329,108,020,994,830,391,507,955,277,268,733,027,108,034,
475,573,595,246,837,532,808,227,083,801,171,878,916,689,086,891,315,465,069,
352,414,938,560,233,206,549,288,691,430,261,494,172,704,869,880,260,304,311,
483,974,569,748,325,659,908,666,424,504,440,708,227,089,044,942,296,049,351,
964,203,097,363,501,531,981,595,689,222,872,419,275,718,592,155,480,966,792,
527,771,327,028,868,296,630,190,612,094,801,581,171,670,693,351,367,375,827,
328,207,856,466,469,755,177,168,586,425,946,675,665,486,444,568,329,992,016,
017,258,887,482,586,240,565,696,946,661,634,960,404,137,218,391,293,094,780,
112,297,931,263,726,615,196,587,904,788,334,799,284,738,751,679,734,637,333,
137,029,880,636,042,513,191,082,593,400,979,602,812,287,697,168,587,713,554,
107,979,189,925,649,083,868,870,243,278,195,602,449,748,554,844,442,808,500,
187,786,438,128,176,894,719,239,771,438,970,902,643,320,372,651,066,252,709,
768,443,719,053,048,897,838,011,072,324,277,978,610,867,181,587,772,284,546,
061,832,502,031,677,290,791,090,664,140,961,599,466,502,943,864,553,963,971,
987,369,450,052,370,358,788,874,893,086,886,105,728,260,058,899,050,870,608,
851,180,075,669,097,999,812,280,007,534,294,675,275,095,796,700,701,033,928,
595,303,875,127,824,497,669,844,703,960,235,002,099,534,520,929,306,556,255,
767,746,428,414,309,501,867,912,242,886,522,277,415,639,640,566,772,126,626,
832,125,878,468,338,659,973,367,097,138,423,035,966,240,839,785,462,387,401,
392,025,609,317,573,565,969,236,022,920,087,523,937,627,233,614,554,157,071,
293,644,816,965,733,373,727,237,635,252,493,229,804,752,587,050,266,916,874,
515,000,350,474,958,556,117,164,746,178,349,657,763,523,322,688,536,340,088,
814,906,565,629,507,352,805,811,438,248,500,620,487,986,525,425,303,697,333,
633,535,030,528,869,736,569,520,544,895,513,353,332,279,167,099,046,307,040,
546,387,775,224,980,752,892,595,043,953,048,560,745,416,574,422,950,075,665,
992,552,402,527,877,523,367,187,471,364,659,478,937,625,340,002,286,168,623,
338,755,509,263,947,869,510,025,081,870,598,117,650,109,758,583,174,136,657,
482,894,967,191,422,699,939,249,769,899,552,285,569,037,273,288,666,246,348,
448,629,094,765,777,325,777,157,428,356,599,780,201,066,918,166,910,582,272,
100,184,526,779,699,630,327,009,646,164,967,134,090,389,172,056,017,594,610,
101,551,616,367,327,005,551,467,476,659,508,253,667,990,261,013,399,436,402,
051,761,582,219,226,694,035,422,558,336,725,127,633,566,711,324,662,594,635,
676,353,065,816,312,165,176,146,258,630,524,175,670,508,191,896,038,892,727,
260,291,119,995,592,525,827,285,915,112,053,518,360,853,232,587,507,542,843,
710,981,371,073,016,966,704,634,253,206,642,872,854,086,604,925,814,858,224,
801,670,344,018,472,211,493,256,606,106,185,417,620,648,327,638,601,185,499,
043,862,578,818,567,450,567,423,459,325,508,074,736,986,940,831,228,250,648,
383,143,065,651,273,886,361,157,458,518,304,729,918,931,656,876,790,676,541,
562,311,472,825,609,545,215,540,312,592,644,826,449,353,521,714,660,051,221,
476,256,508,210,066,692,832,845,204,774,405,621,392,601,430,837,725,790,945,
243,468,428,794,274,868,609,498,654,463,990,210,346,400,965,626,963,712,133,
162,353,934,806,368,045,833,230,493,249,818,281,365,292,144,189,022,361,682,
875,064,421,988,810,082,997,908,997,080,589,465,296,514,445,001,853,425,212,
606,081,452,714,679,197,535,606,029,297,766,876,025,413,966,238,451,607,942,
712,290,623,504,494,404,171,963,543,556,571,984,767,691,447,139,714,774,466,
071,223,523,220,988,610,948,418,409,986,064,047,937,749,035,769,026,031,905,
457,077,985,244,119,503,054,671,214,490,458,428,657,595,899,236,290,413,242,
921,959,207,770,649,193,487,332,728,056,325,234,873,571,408,741,668,950,428,
961,727,503,183,557,774,231,305,500,857,677,263,147,227,121,572,390,398,846,
232,258,810,357,922,177,254,694,349,001,365,032,337,259,056,229,840,100,979,
426,978,607,786,266,206,993,724,807,558,604,548,524,610,166,154,298,691,325,
429,469,693,740,936,705,400,847,803,921,387,912,755,705,684,003,038,074,123,
573,272,689,494,946,511,560,235,336,321,581,114,980,570,624,148,143,944,061,
993,288,487,514,642,798,831,935,184,586,994,745,873,496,433,761,519,463,122,
097,973,457,457,562,824,066,622,166,011,096,971,644,134,684,543,991,790,927,
355,701,298,324,799,865,119,070,827,380,802,809,049,387,185,346,616,024,424,
388,105,574,958,109,449,858,264,330,432,571,094,721,614,260,839,882,241,670,
658,932,271,680,873,317,107,710,961,343,451,341,554,866,235,525,756,286,305,
274,352,428,074,975,123,597,440,678,791,744,706,444,881,025,571,071,848,868,
129,532,309,325,922,734,200,775,080,980,958,068,630,909,076,437,499,586,483,
371,526,168,694,167,807,134,308,668,482,845,765,620,562,480,348,964,113,013,
401,207,082,721,580,560,878,272,529,764,736,600,697,326,091,133,738,027,485,
071,814,327,425,951,834,720,125,814,088,460,178,293,959,760,739,661,745,539,
804,146,631,893,308,502,147,321,472,022,830,301,054,947,657,777,678,401,662,
992,571,475,627,134,551,502,361,729,175,131,190,055,364,565,334,576,043,254,
679,735,145,855,095,553,766,358,502,892,799,365,085,004,502,775,705,346,615,
227,810,375,821,625,781,518,702,134,035,250,549,607,821,531,652,627,055,859,
775,217,617,658,527,515,156,278,889,887,399,812,157,706,417,674,651,393,824,
639,260,311,205,341,520,727,430,004,963,950,185,369,935,846,856,936,568,177,
241,945,388,111,508,139,031,160,301,274,658,172,817,047,389,506,210,156,457,
320,973,624,272,879,584,249,575,755,298,537,718,531,039,163,402,754,484,736,
018,228,723,586,577,805,187,585,331,054,121,131,841,649,136,649,969,532,913,
438,628,311,077,321,250,715,116,680,916,541,272,701,973,939,194,405,695,932,
830,180,179,839,524,751,763,392,234,267,910,477,455,613,736,199,308,029,151,
555,295,477,121,963,232,340,107,871,994,089,913,363,165,575,605,970,844,609,
363,859,419,604,121,302,357,659,898,215,134,724,487,242,819,055,935,371,988,
805,989,659,119,333,812,296,421,937,958,742,844,840,900,108,481,422,120,239,
343,952,218,736,626,048,390,762,119,345,834,674,236,601,698,818,621,665,705,
417,901,715,125,326,828,947,082,632,710,351,812,370,838,781,609,019,075,530,
068,746,329,985,675,273,023,045,231,746,493,955,932,320,654,572,876,637,832,
021,805,192,737,979,777,206,533,633,404,359,925,918,656,149,284,616,472,877,
568,208,725,532,165,890,094,104,943,542,345,279,777,133,942,053,790,740,371,
197,510,222,177,107,405,850,958,882,147,057,118,145,386,154,576,535,321,598,
047,604,004,511,092,513,336,128,979,908,289,032,320,692,447,745,424,082,045,
830,400,931,148,231,153,704,997,894,608,882,047,243,844,863,746,862,803,476,
151,025,023,960,053,845,848,430,520,419,743,282,071,912,285,553,768,214,365,
994,307,114,547,187,167,041,945,693,986,495,613,523,607,413,828,179,354,286,
925,602,543,269,392,322,869,813,016,897,658,339,967,785,978,178,313,333,322,
226,795,835,929,547,160,844,961,662,502,441,908,564,982,389,743,820,493,376,
076,703,606,507,699,755,977,592,328,931,050,711,800,634,186,605,265,696,269,
408,432,921,501,640,867,657,104,540,371,328,048,528,264,071,625,769,871,284,
528,731,281,824,108,930,480,842,047,926,917,016,999,054,483,020,814,137,997,
040,615,436,461,976,508,848,763,166,530,911,733,618,574,722,877,402,926,474,
392,934,150,307,112,209,108,553,904,885,959,654,000,076,668,769,396,993,125,
120,812,741,030,475,875,943,057,004,010,562,318,314,502,382,677,508,971,078,
935,831,547,957,903,742,075,454,672,498,776,544,096,962,949,332,908,704,328,
531,699,311,665,623,211,052,619,679,638,655,661,778,617,935,604,849,907,982,
709,784,809,734,748,081,026,166,012,560,942,747,986,737,442,676,852,316,188,
042,430,163,746,955,615,650,341,861,684,758,648,295,218,474,453,356,763,256,
812,481,037,359,311,622,034,500,580,459,635,506,658,278,097,883,659,285,967,
509,298,349,221,560,770,722,046,126,111,660,759,030,715,669,861,447,204,987,
244,294,099,582,548,027,050,990,112,621,476,402,450,167,763,494,509,269,439,
169,794,927,011,998,075,454,736,190,153,055,090,108,195,337,834,408,435,290,
810,342,160,991,198,304,382,156,088,335,000,643,575,727,118,947,927,159,067,
503,793,736,633,929,246,510,593,702,502,363,258,838,790,921,061,438,393,216,
579,769,609,710,283,778,485,457,733,204,256,877,433,042,638,973,344,840,195,
326,197,539,390,786,409,673,284,315,458,137,301,494,048,365,027,052,745,119,
100,984,337,289,533,114,180,523,925,607,447,939,663,547,989,928,693,017,499,
760,678,540,469,825,654,756,227,038,217,939,036,514,107,591,032,498,486,764,
138,963,781,146,249,420,053,186,573,220,785,078,914,673,734,056,954,996,520,
145,773,615,443,968,856,709,193,657,414,214,787,664,928,239,407,879,533,982,
443,357,347,846,696,284,762,482,007,563,871,528,920,860,587,335,225,107,049,
834,430,615,512,861,570,891,059,126,382,502,141,721,557,512,985,800,571,143,
704,540,857,574,820,365,808,576,464,295,877,787,046,285,421,138,848,939,248,
688,116,882,115,786,474,412,136,637,647,466,467,604,094,553,061,282,857,228,
000,192,971,736,318,248,524,784,397,174,846,070,976,426,103,436,874,016,258,
763,625,332,102,597,433,050,387,751,077,296,561,185,933,723,032,705,902,878,
765,966,953,843,472,100,840,160,006,550,021,534,280,992,739,328,585,451,188,
589,434,997,489,196,627,480,635,474,654,081,363,763,020,021,715,525,092,611,
582,913,404,819,657,182,594,007,916,098,571,116,553,739,155,175,675,747,417,
719,372,584,183,909,913,296,062,671,334,981,096,673,713,993,878,252,892,620,
530,313,076,606,368,941,162,080,241,024,255,563,816,340,953,812,242,912,432,
977,203,185,949,306,040,064,569,247,663,963,633,756,538,239,301,156,126,029,
458,780,457,845,172,811,754,996,110,476,743,970,943,621,440,373,730,336,337,
046,310,439,643,780,786,086,720,491,835,310,999,411,156,207,371,872,577,722,
575,015,801,162,040,700,087,527,840,458,363,870,963,766,680,904,539,447,139,
858,723,354,553,273,989,588,814,836,726,516,240,430,868,113,493,169,310,885,
809,069,152,244,378,948,360,128,172,230,937,014,660,031,979,761,137,945,380,
377,843,487,369,792,972,008,969,905,822,997,836,898,471,784,165,595,327,436,
278,094,795,941,479,808,561,271,351,518,166,810,839,203,395,769,508,424,648,
572,455,333,853,419,712,705,108,380,455,059,919,489,622,497,192,650,853,406,
143,828,264,209,476,332,990,532,848,903,369,896,630,636,314,769,895,456,626,
782,049,321,573,939,904,435,040,754,763,147,273,397,650,005,085,900,509,149,
877,225,155,512,631,924,977,107,423,941,692,641,020,421,902,181,098,332,015,
595,652,582,500,560,420,953,367,199,914,407,282,767,060,055,834,638,080,527,
051,525,165,179,434,838,008,497,551,585,551,835,756,272,322,274,997,623,302,
042,208,087,886,239,219,617,638,579,174,196,075,975,119,742,942,736,433,120,
024,243,056,839,439,511,950,117,542,634,506,088,677,729,291,515,840,579,727,
093,267,357,885,533,898,829,503,778,506,484,569,009,610,133,529,475,368,708,
943,604,607,338,521,112,985,900,899,811,140,379,730,261,523,500,218,100,759,
493,007,646,351,220,143,204,613,475,814,886,398,758,253,989,213,121,800,171,
603,423,187,029,158,213,793,892,173,906,481,230,341,976,577,042,703,154,745,
783,464,935,664,163,034,141,739,145,447,192,494,609,136,492,781,796,613,601,
669,980,774,633,959,548,168,049,396,440,235,364,597,961,995,567,669,810,124,
389,099,653,235,303,789,458,338,150,264,985,538,678,319,269,440,579,349,810,
001,416,096,748,780,170,637,507,852,445,454,121,365,223,307,494,893,622,569,
337,378,220,276,200,630,754,476,566,016,871,531,968,475,552,135,303,334,173,
849,531,183,988,141,559,446,432,621,605,304,580,139,027,815,155,505,881,951,
008,031,985,840,996,354,948,901,923,851,970,245,710,836,058,260,717,738,346,
928,043,826,901,830,189,070,713,930,755,515,187,268,631,648,858,952,551,211,
370,804,025,917,857,304,661,446,260,046,781,940,599,735,903,989,065,886,223,
109,041,254,935,871,132,990,097,056,493,249,913,994,286,067,336,536,873,946,
799,451,144,832,704,478,322,361,897,972,926,389,644,361,074,294,681,846,579,
393,382,187,351,802,103,362,149,339,854,296,270,756,625,971,300,643,111,446,
145,987,186,784,610,850,604,554,818,222,084,211,928,388,201,346,797,471,874,
315,968,173,496,391,933,493,505,116,211,102,508,663,770,168,007,743,823,317,
626,946,138,684,689,205,873,337,817,713,822,965,606,410,717,237,859,281,990,
933,399,185,116,530,537,789,786,372,734,961,824,444,819,938,612,664,088,620,
077,978,408,616,736,676,827,705,891,147,463,544,502,727,819,228,391,319,319,
165,550,050,099,497,093,302,141,634,360,482,984,828,226,751,337,205,085,504,
284,598,894,746,486,053,750,382,183,962,675,476,648,643,938,306,225,391,840,
213,914,958,531,596,127,802,717,282,871,979,699,739,810,849,830,949,820,219,
167,908,784,290,541,387,770,351,738,367,335,770,589,728,299,150,870,614,197,
552,670,946,849,419,743,996,734,181,156,290,246,868,599,066,633,055,134,726,
609,900,581,751,159,861,662,334,436,499,508,892,726,695,726,169,424,828,180,
332,081,874,890,336,516,310,901,671,380,611,105,410,674,964,976,897,217,002,
671,566,679,532,114,542,938,311,524,790,546,069,319,397,817,769,849,263,005,
851,272,014,073,677,981,738,299,132,496,678,389,459,146,109,524,152,970,128,
468,233,951,002,215,125,668,780,451,402,812,577,713,881,265,180,967,298,738,
942,455,657,849,936,846,242,256,621,058,360,509,044,774,259,988,785,142,599,
762,138,513,235,726,751,390,536,542,082,701,119,822,666,893,023,514,101,997,
483,278,069,339,610,269,033,125,508,648,902,624,844,138,802,367,960,663,544,
614,583,436,074,469,570,765,542,711,734,596,868,856,012,975,313,931,901,294,
354,263,672,685,199,335,002,166,829,402,044,225,891,993,629,171,231,058,992,
846,287,477,460,557,926,007,924,991,713,109,946,414,087,327,665,987,676,129,
260,315,772,419,457,108,320,053,753,782,820,495,431,044,774,150,815,686,635,
464,536,894,721,058,099,896,217,122,997,767,687,078,846,283,750,577,911,734,
054,283,775,826,131,756,595,058,773,611,125,781,673,238,160,291,622,569,211,
477,813,338,762,985,433,401,085,317,634,208,868,702,299,817,627,903,321,704,
031,522,878,336,886,157,416,678,868,791,260,494,572,561,501,411,844,734,999,
448,267,834,284,593,632,619,528,112,492,048,640,024,572,459,851,613,590,620,
283,862,241,655,993,529,589,225,319,149,692,443,690,730,602,059,068,345,318,
830,254,815,788,816,987,714,403,950,169,673,777,703,848,925,781,074,227,754,
093,108,930,283,536,684,448,966,571,489,801,239,530,885,433,945,760,918,623,
669,341,589,388,593,939,937,719,864,393,669,296,583,463,164,752,745,337,899,
515,429,945,437,257,903,561,417,550,754,823,630,572,047,239,605,203,419,283,
445,650,045,473,008,083,945,963,555,399,300,628,089,207,300,509,497,366,507,
419,493,417,823,654,920,882,389,547,447,657,878,369,936,476,411,907,940,833,
772,830,355,235,573,735,620,699,323,047,354,394,862,972,085,095,809,960,884,
457,757,309,276,869,965,617,960,444,011,259,971,100,979,361,137,768,225,004,
745,328,755,509,995,805,607,799,805,460,111,791,767,137,187,643,632,488,359,
750,343,796,427,279,220,064,919,752,452,670,918,178,961,001,514,741,131,203,
139,182,576,891,393,766,605,521,412,096,571,398,820,843,916,872,415,210,033,
400,159,737,159,685,330,225,015,465,030,473,795,160,505,055,359,220,140,940,
297,002,586,733,356,296,009,970,089,601,651,541,888,749,589,087,345,329,462,
083,322,893,814,550,456,036,802,380,833,403,140,623,598,054,443,309,711,373,
214,308,210,984,554,885,350,424,069,215,426,696,013,468,495,255,072,405,487,
952,353,668,468,972,039,189,746,947,678,388,116,915,391,036,921,370,441,502,
321,981,127,665,608,555,891,681,092,775,065,745,984,139,287,026,064,906,071,
276,542,274,786,997,601,112,427,084,929,085,941,216,359,522,487,988,955,542,
395,597,973,171,749,615,846,245,883,984,896,818,085,015,344,224,432,264,806,
022,885,991,861,068,294,645,525,020,969,731,677,431,774,205,843,987,093,134,
431,049,563,802,693,707,543,984,558,158,509,757,841,331,928,675,882,242,092,
749,665,018,858,301,936,164,635,186,173,689,746,907,685,050,290,265,810,269,
333,365,943,357,736,421,060,980,820,149,382,056,796,465,892,690,534,784,786,
540,123,460,106,982,043,568,535,445,852,367,151,439,449,477,682,110,886,402,
016,189,592,256,175,249,801,058,055,841,112,435,869,785,450,747,934,569,701,
945,281,450,824,538,012,537,891,700,653,582,974,388,539,698,085,294,087,942,
366,832,001,797,281,986,243,626,210,196,773,955,655,113,536,334,320,833,186,
508,691,485,626,005,786,709,421,915,033,241,766,479,479,949,577,611,182,490,
563,377,639,020,702,953,116,907,714,154,752,373,593,893,735,010,172,707,003,
452,021,613,734,696,085,176,221,069,777,871,981,910,236,376,530,485,546,493,
982,059,489,390,063,755,511,883,775,985,746,648,776,324,463,768,346,492,480,
464,871,650,291,326,282,833,470,641,936,754,874,946,132,554,182,334,112,626,
597,040,495,887,826,035,939,084,988,671,180,277,039,254,701,560,271,677,258,
470,329,061,517,864,393,254,147,302,481,391,075,674,598,156,522,067,365,089,
766,330,515,317,768,253,616,076,380,561,734,101,134,898,164,524,561,960,129,
582,607,113,437,276,628,940,763,044,276,744,381,609,731,197,978,690,663,076,
601,893,851,161,357,565,229,581,687,441,427,162,338,391,138,914,132,494,167,
770,654,680,374,518,733,470,352,595,698,691,865,804,147,989,930,706,170,470,
962,520,440,393,646,050,565,498,200,212,116,856,158,757,217,393,886,871,354,
666,349,887,662,939,013,203,270,060,024,287,842,222,554,674,890,636,321,967,
484,123,715,054,775,051,873,913,301,692,238,552,572,933,295,674,749,968,651,
919,157,499,708,312,930,690,568,112,874,102,236,919,371,245,601,310,532,827,
233,197,461,060,109,965,459,473,936,870,508,565,318,404,747,148,598,383,110,
881,961,117,098,670,550,998,948,202,106,166,700,915,282,531,603,308,796,892,
514,139,873,665,410,495,999,056,036,289,900,145,950,630,537,025,050,597,086,
232,479,352,069,925,260,626,567,448,749,652,341,672,865,760,831,585,672,092,
478,005,541,785,443,657,159,500,243,780,981,471,901,151,808,431,515,354,657,
920,605,911,273,214,412,284,953,870,820,204,486,524,992,645,527,538,738,496,
617,215,555,272,222,320,461,007,244,467,757,614,874,128,442,366,265,589,393,
716,773,642,358,763,118,197,817,420,515,497,465,798,922,401,204,253,920,056,
094,100,249,506,970,212,285,935,282,606,114,249,649,994,497,790,748,403,909,
710,985,990,358,903,112,442,590,307,911,565,624,057,726,084,201,898,541,079,
488,094,628,619,250,438,310,426,711,612,453,358,971,090,313,253,298,275,769,
440,788,814,145,125,890,596,676,382,305,094,338,405,016,731,354,909,216,474,
206,113,754,397,237,148,784,863,564,741,294,431,825,373,927,245,133,251,745,
690,914,452,864,988,798,059,652,014,656,348,757,572,681,996,107,094,273,142,
671,174,574,714,131,174,939,960,668,843,234,683,147,140,830,298,421,443,120,
062,091,407,987,029,213,814,007,488,149,883,677,750,924,705,212,345,793,089,
536,177,723,026,861,215,053,763,451,898,747,052,015,389,053,236,573,799,461,
153,608,007,254,141,627,916,320,014,537,003,725,188,362,774,139,352,233,992,
891,169,743,118,264,388,815,451,318,361,965,440,828,313,931,370,685,291,207,
522,881,356,668,639,336,342,103,721,290,035,195,160,172,365,949,728,122,809,
851,472,723,948,368,347,876,811,445,134,902,016,131,653,182,187,180,712,215,
389,629,196,708,330,401,802,323,084,938,566,815,239,524,592,355,107,088,181,
472,983,451,503,696,575,033,662,034,907,290,703,014,661,798,812,621,403,823,
884,935,283,591,276,627,290,692,881,608,295,617,985,033,079,443,723,416,016,
849,705,476,133,236,931,879,124,108,204,992,436,676,708,236,172,043,542,056,
363,404,088,489,364,329,917,386,177,472,246,259,080,115,116,040,644,002,850,
470,015,955,464,173,177,445,480,612,277,051,340,668,844,077,782,197,956,612,
304,516,908,151,443,239,875,415,275,124,500,474,934,809,552,800,833,156,172,
688,649,720,288,650,826,223,421,551,359,676,512,586,932,794,879,125,741,896,
819,423,380,533,329,932,606,333,645,452,716,563,860,442,018,277,281,632,437,
891,025,541,944,397,441,363,406,484,178,325,765,203,615,237,622,794,650,492,
321,408,311,686,364,036,876,584,700,143,977,887,501,676,655,808,791,637,829,
035,913,521,245,145,959,776,691,897,833,593,102,889,382,511,933,032,507,568,
773,711,301,529,455,496,847,110,169,993,400,467,905,741,666,805,102,414,421,
900,014,564,182,216,753,400,783,673,316,348,543,672,386,094,652,518,111,186,
145,789,293,608,714,445,656,839,047,617,312,233,802,926,603,870,898,740,820,
241,962,311,251,424,496,573,231,880,210,777,773,849,956,024,927,860,390,916,
867,566,784,885,822,583,880,030,124,917,125,846,253,666,658,007,096,784,080,
363,436,464,896,009,385,914,548,557,016,037,936,016,354,716,944,897,979,697,
112,093,205,240,919,275,960,158,255,333,946,309,690,177,789,640,096,826,719,
146,528,561,949,531,563,169,170,836,039,366,042,607,083,335,523,236,369,150,
113,957,306,428,300,954,359,613,824,285,078,119,738,391,672,264,752,965,948,
450,462,386,986,419,862,482,255,153,631,405,293,978,545,249,204,015,918,482,
241,585,861,937,866,155,494,701,083,664,874,846,223,516,180,876,747,958,966,
396,583,893,240,020,296,022,928,824,509,547,915,231,521,587,023,530,491,184,
517,396,832,824,064,900,912,056,069,040,849,305,517,635,866,580,286,854,806,
950,834,543,973,533,849,342,385,689,337,959,728,325,316,423,738,045,728,033,
159,569,793,417,365,181,151,124,863,424,580,795,063,536,527,699,672,672,855,
028,818,569,568,825,188,075,452,161,650,684,944,618,616,340,146,285,872,559,
578,644,776,361,784,458,797,274,055,931,504,373,060,034,869,859,364,183,297,
182,777,748,078,839,103,183,249,054,413,979,596,911,854,896,172,406,887,157,
038,560,162,877,972,340,048,970,367,489,609,419,758,573,898,081,707,171,779,
085,308,035,414,298,890,546,383,521,361,594,695,357,976,445,884,822,658,796,
616,609,870,427,637,552,105,463,716,949,338,596,688,082,575,959,140,172,877,
524,607,331,644,055,732,462,406,899,804,406,313,322,430,709,686,691,619,407,
886,797,834,133,311,082,649,873,243,891,212,345,145,182,421,984,987,902,058,
530,296,092,744,408,134,829,361,739,430,909,336,253,680,292,316,569,937,167,
672,792,739,545,446,848,142,020,688,545,582,569,425,558,401,072,945,751,094,
965,364,366,599,693,462,889,684,298,673,818,452,764,741,193,569,238,535,560,
835,177,772,239,447,131,655,508,876,974,015,951,291,463,861,707,081,851,704,
328,091,285,851,500,507,835,431,726,112,564,391,898,399,488,631,919,434,473,
881,022,240,190,787,715,473,205,885,335,169,194,926,290,502,201,946,396,149,
969,661,610,290,451,464,149,928,896,922,950,603,581,399,174,816,156,597,012,
194,450,529,967,395,864,209,663,361,045,621,893,965,305,837,392,797,760,854,
210,232,365,231,128,046,203,822,427,053,044,601,038,412,799,319,937,095,581,
176,429,891,529,661,838,458,711,959,822,029,220,975,032,804,208,688,582,345,
956,040,096,875,870,238,443,635,683,329,062,109,289,291,898,229,332,563,329,
702,173,307,170,774,819,779,967,634,743,347,147,507,844,845,294,159,581,799,
053,939,428,075,812,078,725,525,677,488,016,360,860,416,513,435,099,039,201,
646,180,256,990,064,907,755,540,719,399,867,259,177,883,399,628,074,624,406,
496,966,273,298,235,696,373,349,780,276,149,134,306,989,620,986,331,642,587,
718,364,557,532,205,349,480,582,558,259,730,834,907,009,526,851,813,605,303,
062,677,304,470,775,248,554,987,889,676,700,581,339,962,465,053,295,833,186,
561,116,312,852,248,590,329,731,014,601,230,425,984,256,039,103,826,421,845,
443,514,908,099,575,816,371,206,523,897,395,549,773,511,184,158,274,641,902,
150,452,932,460,208,807,124,127,946,226,892,790,366,042,378,304,519,944,439,
503,258,306,575,951,676,184,961,338,454,925,623,527,096,344,077,785,865,247,
347,014,692,614,363,213,126,004,135,083,837,419,608,010,679,278,464,596,997,
823,991,840,890,323,803,182,034,587,064,292,484,377,757,859,565,251,167,832,
022,472,576,678,088,602,843,433,092,205,076,709,703,250,278,879,936,460,497,
413,968,982,937,497,221,343,261,342,047,184,469,136,520,484,664,701,032,152,
750,662,818,075,726,879,516,261,514,559,193,389,489,928,140,406,159,944,601,
345,580,456,598,711,163,704,475,494,940,935,858,218,513,761,629,611,734,355,
198,113,757,628,003,837,138,153,211,979,579,282,478,355,029,042,897,846,681,
798,008,055,224,203,635,624,575,378,321,831,830,709,486,675,830,884,964,350,
814,765,667,782,705,888,503,312,537,290,934,062,943,068,756,521,339,532,108,
575,539,902,309,921,965,125,531,112,167,509,047,173,712,361,149,399,517,813,
692,017,087,395,406,813,408,270,550,505,095,613,447,922,934,611,641,405,550,
649,011,575,696,553,628,259,768,634,501,792,097,063,246,838,869,417,614,210,
430,133,337,758,354,766,932,881,172,031,064,707,781,637,032,714,127,081,381,
672,650,109,693,241,187,235,328,498,183,266,282,129,588,311,395,826,825,386,
420,540,982,909,788,045,300,796,219,830,582,628,996,035,871,581,204,791,861,
561,296,029,038,154,232,682,466,218,475,696,372,787,435,146,689,892,827,039,
647,061,825,396,444,955,654,700,731,292,829,125,918,860,533,771,737,699,805,
161,885,126,827,246,363,356,202,068,700,953,415,007,423,751,347,909,142,770,
428,102,178,313,247,531,881,370,363,699,244,438,588,044,394,500,093,424,062,
834,128,463,398,118,492,766,278,447,522,661,244,849,444,852,647,619,344,659,
521,915,411,274,141,439,024,931,901,841,573,950,693,310,071,474,877,015,657,
101,830,347,633,491,109,051,432,454,232,780,539,130,684,692,329,495,697,058,
852,655,072,664,507,708,114,420,702,637,876,704,670,366,457,644,439,693,729,
733,324,467,492,820,155,677,711,972,162,226,651,305,849,475,171,516,735,952,
274,302,084,889,555,738,727,106,518,288,449,007,482,393,636,534,958,948,474,
983,419,238,183,530,250,324,143,343,294,523,253,033,784,661,158,997,121,857,
677,645,084,356,932,035,078,056,691,235,888,562,739,108,298,284,976,250,297,
737,638,036,554,763,136,007,547,500,866,861,485,526,538,593,885,356,661,553,
061,365,799,644,024,978,958,294,232,632,607,427,723,419,469,380,286,081,259,
272,844,828,404,844,023,528,644,561,968,330,665,690,451,326,118,041,458,232,
653,956,529,981,893,483,367,051,431,800,135,800,161,551,891,695,791,266,380,
007,586,635,241,733,331,822,914,102,577,456,683,570,864,001,045,804,954,714,
764,338,232,818,249,904,595,353,879,340,219,329,730,594,185,228,037,573,820,
815,971,412,841,747,796,079,537,644,315,963,608,037,120,216,529,658,362,766,
222,080,023,669,772,189,603,335,073,607,963,780,880,301,159,507,959,807,248,
958,557,976,369,922,310,023,158,251,869,525,990,806,667,732,979,471,505,531,
075,215,598,740,090,016,389,460,123,719,629,668,966,811,435,889,490,527,358,
631,189,777,841,745,178,937,385,046,139,024,050,507,479,985,130,324,173,220,
132,411,765,347,540,972,169,963,597,167,685,973,772,508,094,789,681,607,886,
992,051,024,729,617,723,446,399,670,554,629,931,546,992,061,523,716,790,358,
163,615,652,739,300,821,871,650,836,213,556,404,193,884,615,192,573,629,273,
914,632,076,012,443,262,844,326,176,523,640,950,196,916,085,136,575,046,549,
456,198,180,901,753,772,502,230,567,056,736,388,637,489,761,042,601,888,973,
628,712,767,081,925,605,065,129,551,005,589,123,709,210,881,604,610,632,097,
731,588,128,855,072,923,137,183,091,623,360,761,763,421,307,178,519,855,887,
664,068,072,367,964,982,366,184,260,339,901,114,055,952,032,085,522,477,297,
348,007,630,609,610,469,521,597,642,022,535,115,151,863,208,793,152,842,879,
552,981,541,272,836,018,909,852,771,683,474,180,310,029,361,193,676,280,343,
838,192,665,548,794,053,188,718,995,818,236,965,753,175,594,089,001,374,098,
143,251,861,239,530,997,668,826,027,127,194,209,212,173,282,300,161,982,375,
348,686,106,772,866,476,711,623,815,352,587,720,539,613,519,957,192,140,234,
770,424,025,690,920,268,314,281,649,452,802,639,005,477,264,576,767,519,128,
608,920,757,065,704,040,670,175,956,210,033,057,808,371,251,740,217,342,962,
139,649,032,732,231,213,439,714,405,115,214,521,494,795,305,599,403,180,579,
573,188,340,878,206,804,336,634,549,222,641,932,843,766,445,517,821,977,001,
673,146,838,067,746,266,766,498,817,685,228,855,785,358,860,259,354,929,282,
836,945,733,716,002,912,554,004,564,586,633,039,577,566,773,605,116,933,757,
228,647,256,903,894,571,729,391,249,694,053,026,949,856,224,243,028,979,332,
406,333,014,130,409,997,172,788,819,104,238,109,835,726,308,704,594,188,758,
204,915,645,813,200,153,026,422,858,802,239,992,702,236,632,128,584,475,704,
771,661,136,945,936,778,970,660,474,583,281,904,249,834,875,811,009,554,546,
771,679,078,449,726,720,569,856,528,036,357,922,890,782,888,634,266,414,816,
504,580,358,371,968,105,142,209,693,472,188,977,150,251,214,066,633,070,420,
974,568,159,232,532,185,940,056,688,825,885,507,419,616,468,912,278,107,640,
216,119,057,268,607,254,419,929,616,660,473,003,536,607,323,370,287,478,302,
897,382,419,370,401,148,727,961,591,642,380,117,889,409,873,831,145,369,850,
314,497,479,705,922,894,520,383,114,210,780,501,536,779,725,704,412,582,671,
845,274,435,558,445,396,645,960,264,145,999,292,252,271,129,780,909,592,620,
323,941,338,202,498,288,632,787,534,629,609,063,399,334,560,261,259,973,264,
439,132,154,719,571,177,109,260,066,483,916,786,243,783,613,252,615,698,642,
026,439,871,364,354,118,075,444,565,522,170,231,094,434,954,873,284,801,875,
317,800,748,476,112,828,531,468,311,888,735,326,174,296,717,515,250,666,345,
038,587,820,346,715,908,925,739,165,275,870,083,354,269,940,183,472,391,663,
930,683,980,072,141,304,731,266,114,374,099,154,924,576,739,957,434,918,220,
150,189,371,090,585,550,847,480,642,588,041,306,158,188,492,520,462,327,957,
439,654,172,624,328,870,001,038,362,440,151,228,166,298,605,796,555,641,448,
847,719,084,639,135,946,543,921,370,881,489,690,064,309,305,512,868,473,797,
582,932,326,718,472,501,827,957,841,733,218,607,561,923,097,350,356,897,798,
560,015,535,996,162,503,924,330,163,357,457,074,947,064,805,972,702,961,900,
481,734,204,855,229,470,410,142,262,113,076,495,389,741,741,080,685,387,996,
479,742,475,898,659,726,484,283,307,855,322,301,161,013,820,632,652,253,103,
207,109,788,437,012,161,490,802,643,200,411,509,640,865,978,692,708,967,506,
740,465,643,032,519,008,598,646,650,481,410,726,359,399,677,113,177,875,740,
756,594,693,501,570,034,884,336,709,398,957,163,972,835,504,176,607,224,561,
160,904,750,009,333,023,047,974,607,939,221,350,092,355,222,935,896,161,305,
782,567,948,513,614,809,785,967,742,510,149,395,529,823,759,728,925,547,276,
582,087,493,464,497,643,135,241,328,206,245,276,527,894,813,507,405,792,270,
584,845,470,665,948,905,587,154,164,865,313,246,936,725,368,707,096,244,106,
440,078,056,208,670,991,467,837,972,994,064,452,708,234,322,359,949,253,952,
241,653,308,470,585,394,832,297,970,467,744,185,357,313,602,009,748,268,709,
864,458,400,522,567,790,847,641,427,188,168,755,396,571,344,934,311,276,670,
003,245,722,113,243,897,296,711,358,522,267,257,665,244,362,563,409,938,000,
945,448,945,534,128,368,630,218,314,168,754,815,393,505,433,626,317,956,177,
122,699,579,858,878,430,716,414,008,943,353,756,840,568,870,265,125,138,804,
753,008,581,396,357,827,792,972,486,751,974,562,745,401,484,466,578,068,326,
337,406,922,974,827,015,884,081,620,650,629,126,907,152,309,641,272,261,070,
231,071,938,428,449,853,266,593,746,302,019,638,332,449,645,510,331,037,481,
886,958,736,889,141,999,742,188,213,477,704,529,923,300,626,994,275,505,655,
613,755,522,777,556,014,920,116,408,846,859,344,137,764,648,417,267,335,772,
366,746,189,068,502,043,985,707,225,704,375,651,857,211,742,890,272,747,495,
910,715,763,940,242,869,813,628,177,775,054,124,004,324,559,994,780,501,796,
197,417,593,078,912,120,927,518,000,542,459,077,479,408,971,099,259,636,084,
254,718,043,418,239,875,713,545,918,743,410,840,421,594,472,402,502,211,737,
299,365,340,437,990,661,574,664,456,335,119,722,270,199,319,483,446,816,768,
777,873,112,781,499,036,969,663,823,361,438,976,953,029,882,992,582,185,745,
986,773,971,886,683,303,361,617,421,170,444,830,452,524,240,388,416,179,711,
714,447,004,012,812,173,844,827,103,133,556,172,066,483,570,238,250,296,281,
458,682,995,954,690,731,293,943,941,927,799,107,066,587,806,728,662,445,417,
926,139,107,227,533,205,066,992,701,080,473,450,568,475,583,335,863,369,403,
498,600,439,980,201,997,280,263,649,752,078,301,964,587,236,415,373,976,956,
807,475,742,070,378,189,872,200,079,151,272,836,524,908,731,203,935,242,194,
726,782,741,934,214,915,079,064,191,792,272,026,635,862,396,018,577,976,871,
046,706,299,007,310,631,710,297,399,008,044,946,660,587,814,710,038,838,259,
925,155,419,533,859,751,660,377,949,529,748,519,989,092,843,473,453,888,304,
842,973,301,985,232,367,259,301,605,001,777,900,824,382,329,403,500,569,475,
603,172,810,938,844,593,179,741,062,752,503,793,468,178,780,679,071,524,984,
464,547,642,083,616,510,752,147,812,265,331,885,569,943,089,663,378,249,517,
039,989,770,701,759,081,424,357,623,544,856,996,042,959,943,760,604,152,448,
570,456,020,638,728,013,970,977,526,817,173,950,656,490,771,055,823,929,276,
188,051,285,164,164,829,469,466,545,647,014,774,497,995,504,057,571,012,171,
242,051,911,289,809,781,875,656,948,464,843,432,634,204,911,617,063,311,302,
735,078,100,460,164,943,964,330,236,900,561,768,686,739,469,696,644,207,993,
464,570,946,403,190,750,308,542,871,395,383,722,011,402,310,968,150,325,657,
757,679,508,715,850,467,198,777,873,010,051,793,915,189,958,157,974,975,328,
868,103,626,715,626,658,545,103,410,217,082,215,120,290,327,184,629,142,996,
036,837,770,695,233,771,206,525,223,732,952,214,018,223,516,402,500,050,512,
016,735,629,944,139,982,612,866,270,239,535,265,235,387,758,187,631,324,513,
730,400,077,656,806,706,262,902,682,294,307,757,886,328,593,643,693,975,698,
998,493,083,353,528,644,671,037,689,584,771,826,109,523,871,846,209,915,133,
274,820,175,286,185,714,162,535,942,364,689,321,754,664,714,323,235,163,409,
807,836,348,180,392,152,748,264,426,237,660,913,165,211,883,157,829,534,327,
341,581,328,670,728,660,047,276,773,158,319,091,327,884,355,962,618,258,275,
292,845,008,985,929,136,220,491,048,041,613,333,561,688,381,392,421,977,326,
300,186,282,395,122,017,799,185,438,038,409,950,023,745,375,439,164,704,111,
025,062,164,799,705,685,289,822,942,395,826,400,646,013,025,378,780,230,577,
391,206,288,917,427,178,613,220,024,366,390,953,436,777,943,025,114,071,903,
435,682,828,146,127,741,806,712,624,750,097,593,552,465,819,265,141,548,309,
734,527,079,178,133,547,431,186,392,364,900,043,127,771,964,965,844,618,290,
938,511,433,571,474,088,878,598,663,052,781,585,537,954,463,001,037,044,972,
815,706,788,342,842,399,391,338,575,678,287,351,690,701,306,505,970,403,696,
378,665,714,189,270,976,446,520,350,406,542,682,428,314,416,103,164,931,579,
810,143,711,187,751,547,143,161,807,391,991,567,409,745,958,231,805,976,414,
746,352,888,301,748,662,160,657,662,121,455,941,013,047,624,820,440,528,062,
324,479,102,336,659,514,940,880,952,709,488,005,520,337,543,804,592,367,302,
750,817,394,616,789,279,139,776,813,173,823,009,150,345,473,452,635,151,903,
332,421,690,688,009,196,687,587,512,582,511,485,307,233,125,999,491,243,090,
523,310,060,634,688,474,146,050,426,401,450,793,373,360,148,748,260,692,876,
158,297,755,769,935,934,669,148,433,641,920,032,220,764,429,788,714,653,034,
707,078,036,825,175,570,034,173,649,259,128,262,350,473,113,538,569,042,653,
128,978,457,457,118,094,052,947,425,318,562,768,127,483,153,523,288,844,704,
370,395,277,800,837,985,873,985,535,980,013,129,674,181,297,478,468,809,809,
865,918,091,840,341,225,650,708,454,145,503,907,874,437,721,220,190,230,153,
616,933,349,483,484,134,146,920,923,908,866,469,516,146,894,484,156,111,798,
938,676,680,526,521,517,227,148,158,078,556,246,611,537,780,324,820,233,885,
123,256,852,429,420,826,847,274,685,328,948,753,683,711,546,693,152,782,471,
557,024,765,168,198,558,525,080,648,226,724,142,035,520,163,243,915,300,009,
840,493,206,979,542,081,734,126,635,326,847,981,996,732,590,682,676,681,895,
150,103,422,040,994,917,135,073,680,778,312,921,778,928,989,480,827,970,368,
315,702,204,759,195,328,085,605,480,682,887,401,459,644,326,748,592,269,453,
109,732,144,609,381,801,380,242,733,121,025,667,411,615,859,644,247,333,716,
692,358,567,257,631,247,505,072,035,484,613,813,111,214,279,164,229,521,299,
252,947,638,375,767,786,148,796,654,071,906,278,498,500,382,411,002,109,195,
548,809,923,410,933,010,223,238,441,339,537,146,107,081,311,943,192,258,027,
156,026,924,145,192,537,121,274,267,156,700,652,901,738,823,852,449,209,802,
321,895,295,315,600,334,533,656,615,845,913,104,433,904,963,482,141,402,557,
341,145,300,347,480,678,477,156,712,475,364,203,561,193,654,246,261,436,257,
039,736,920,099,407,227,699,186,758,988,415,921,152,352,509,944,542,371,272,
009,034,720,535,832,493,074,648,333,732,608,031,297,814,534,837,586,464,580,
231,227,371,729,292,791,843,825,741,633,470,148,139,168,249,594,045,003,866,
765,339,405,780,707,851,604,706,391,895,046,551,418,222,539,926,688,607,553,
093,508,843,483,646,536,003,351,579,508,981,253,048,710,926,125,737,315,850,
888,862,721,477,079,195,877,510,682,132,272,272,674,370,092,070,663,148,905,
405,182,296,623,848,057,166,179,524,971,918,246,901,698,283,834,204,908,565,
564,971,840,687,405,636,221,439,794,868,432,899,376,494,242,616,764,044,352,
258,655,922,075,945,192,405,759,997,795,239,972,668,629,353,040,234,312,316,
138,796,205,634,947,666,218,304,495,185,400,024,228,860,539,484,871,069,659,
706,516,074,045,795,941,126,483,310,591,924,280,892,646,900,698,759,159,245,
418,690,599,638,393,949,795,902,797,268,255,319,465,496,057,856,699,322,906,
225,696,586,655,392,070,029,250,837,840,024,406,201,270,791,672,292,073,823,
572,187,668,430,209,571,153,623,327,823,245,953,705,625,504,904,580,186,938,
952,708,927,214,942,408,724,355,683,159,283,399,661,827,622,273,307,158,703,
238,688,057,718,639,895,689,180,733,820,096,112,821,558,657,575,558,585,607,
932,327,346,646,758,172,724,746,931,099,098,299,308,273,376,763,234,696,395,
511,445,678,964,354,402,575,344,013,541,344,600,272,971,666,030,910,265,719,
646,110,195,159,457,425,336,709,955,166,933,195,148,205,106,544,187,829,470,
683,921,521,799,825,184,987,757,919,208,097,089,148,948,062,289,708,108,742,
998,614,186,382,466,278,915,693,425,866,258,349,083,747,136,078,288,212,590,
744,042,853,812,704,993,638,239,713,878,558,800,378,866,026,369,997,579,557,
589,102,482,362,816,959,863,987,634,270,284,678,391,117,510,649,768,522,345,
014,485,715,309,216,311,510,213,038,699,237,461,719,277,023,986,183,050,258,
851,202,299,238,852,887,934,819,233,544,781,483,423,993,209,739,434,100,158,
550,891,285,500,192,578,944,106,586,326,423,475,597,767,083,424,183,062,269,
092,075,473,291,248,753,885,660,692,419,008,275,597,346,221,386,426,579,065,
593,768,008,443,190,581,937,835,515,046,448,861,745,390,580,315,617,818,521,
126,946,714,136,341,349,232,892,782,412,431,309,558,683,543,722,288,956,729,
026,498,206,416,216,449,722,035,236,629,183,780,895,558,160,016,321,764,888,
861,828,887,812,407,329,028,134,913,863,899,725,632,274,906,822,165,186,748,
259,293,349,471,566,837,864,661,008,194,979,107,852,216,341,340,605,204,260,
910,693,559,071,793,309,759,587,853,390,379,105,773,240,073,756,753,540,184,
242,603,806,393,629,881,455,974,628,091,789,310,100,725,996,537,733,551,062,
513,259,572,741,384,511,998,296,688,648,517,059,463,774,884,177,089,812,862,
702,552,164,957,098,717,910,023,504,686,461,680,454,879,828,252,110,183,053,
429,723,409,060,995,222,769,178,698,617,087,820,789,707,059,053,872,831,740,
966,638,926,436,077,755,351,879,000,412,278,729,108,480,588,746,631,936,128,
732,483,276,728,150,869,414,100,533,782,664,847,335,339,037,081,284,902,439,
118,653,578,435,502,032,323,902,102,657,806,370,373,250,980,593,894,555,233,
339,896,054,931,870,881,595,082,529,525,134,146,151,089,764,080,652,634,238,
259,600,042,241,328,694,445,955,601,671,399,247,888,982,390,622,222,771,171,
628,804,064,123,197,224,655,149,951,585,583,163,387,373,978,279,335,494,556,
129,890,119,941,368,142,606,654,761,951,783,687,106,293,018,764,107,346,689,
301,614,753,499,211,633,726,793,922,263,379,244,070,520,622,254,039,110,135,
712,149,526,723,508,873,451,929,968,490,059,333,808,345,843,788,368,330,101,
337,265,757,728,146,594,449,964,903,840,944,492,912,901,711,612,665,419,166,
391,398,760,862,430,249,752,527,303,070,736,296,064,941,371,099,769,329,983,
772,156,814,196,228,859,710,927,243,564,993,713,731,363,276,336,947,667,273,
325,434,524,850,194,216,279,432,349,373,236,235,343,121,676,062,085,270,120,
609,303,666,414,916,589,483,423,091,744,872,830,214,849,361,085,480,797,178,
912,546,708,644,447,874,469,258,379,230,225,575,247,369,920,936,488,796,522,
265,862,791,500,611,596,224,841,083,865,024,737,236,869,384,628,403,274,535,
691,582,232,995,644,873,957,404,761,491,433,092,168,966,709,268,263,798,184,
199,922,170,975,616,763,965,158,886,547,988,082,307,242,698,319,663,063,971,
421,570,614,573,980,489,284,678,793,700,882,134,839,959,323,947,583,145,687,
312,452,877,120,230,730,270,842,628,483,450,935,282,821,931,181,926,980,328,
478,638,708,074,660,683,400,939,220,877,690,164,462,083,883,919,980,708,014,
511,654,455,143,267,881,350,711,964,246,596,131,781,060,577,321,502,848,095,
923,756,153,532,723,534,926,027,066,949,780,469,843,220,380,365,350,397,359,
278,808,945,585,841,788,458,780,712,839,195,507,219,114,498,915,624,852,901,
873,272,169,080,779,927,903,032,611,782,523,891,161,142,475,948,000,053,887,
484,158,562,641,682,244,645,482,543,665,034,698,187,484,170,781,139,645,377,
967,157,099,956,359,096,356,293,782,742,156,931,023,569,236,315,923,769,307,
132,496,572,328,782,535,813,603,896,418,273,060,583,845,284,273,551,130,905,
249,419,463,000,655,395,198,862,812,077,069,095,297,898,849,160,603,535,446,
688,185,799,695,603,317,663,149,056,429,816,152,690,606,640,470,311,103,043,
705,548,188,713,556,541,391,385,155,874,251,246,766,849,462,743,050,106,167,
601,183,519,831,086,822,170,918,790,669,755,134,839,766,809,087,037,131,136,
083,983,868,423,965,207,282,317,373,755,599,048,643,279,380,054,150,977,825,
492,850,420,834,715,222,872,418,066,334,362,849,013,477,224,591,763,885,202,
471,101,917,802,207,174,968,549,128,380,522,919,906,066,143,922,222,567,908,
158,143,148,868,183,403,663,114,240,648,012,486,620,839,379,042,832,595,058,
990,124,252,979,014,215,111,949,718,593,146,469,385,254,522,689,707,153,494,
351,193,863,364,137,360,038,496,393,912,508,325,296,458,198,208,043,620,420,
962,354,674,637,925,645,559,664,288,180,555,002,925,543,558,844,549,203,584,
900,081,237,824,791,341,888,997,650,689,682,036,285,750,261,792,372,106,114,
511,321,862,161,111,978,535,609,899,397,951,922,723,205,622,919,027,054,299,
353,471,415,198,078,265,658,183,759,511,837,609,746,426,184,793,501,716,563,
539,701,963,447,873,522,523,918,649,676,246,326,463,634,913,308,940,366,689,
849,091,430,880,574,087,717,103,947,786,899,510,933,452,207,973,634,328,568,
845,251,347,569,722,771,284,740,980,377,451,775,823,983,441,888,642,554,738,
386,714,141,690,390,806,463,845,714,141,246,365,552,140,567,106,470,634,504,
294,845,064,410,624,947,883,918,378,390,441,581,974,467,131,106,780,140,156,
473,903,354,697,444,370,921,788,137,925,420,863,582,287,772,082,031,055,237,
748,770,893,708,635,542,505,261,428,676,278,697,043,138,829,929,192,281,756,
829,074,975,646,473,343,602,411,801,420,621,002,891,874,501,670,465,558,615,
013,442,999,923,575,722,776,041,222,975,637,783,157,995,043,071,060,368,068,
046,964,666,837,971,835,908,491,320,344,993,284,781,011,725,312,984,362,894,
471,348,545,721,727,483,336,958,828,187,208,396,221,538,300,284,937,728,342,
291,088,508,472,671,344,630,280,054,701,532,175,557,925,822,469,771,501,717,
167,051,536,495,311,039,768,489,979,358,352,282,268,373,537,583,472,243,910,
638,698,151,219,819,223,401,762,273,644,067,273,005,570,232,994,221,935,624,
892,644,533,594,470,852,668,884,221,438,810,411,493,934,202,874,546,247,653,
623,341,409,305,422,147,265,176,704,112,080,127,739,077,344,705,865,388,728,
498,574,792,094,209,513,620,452,772,629,166,762,094,726,852,079,718,495,798,
043,652,007,530,306,931,581,850,034,354,891,595,709,679,192,109,973,966,969,
249,094,267,411,542,915,987,355,047,060,805,225,287,350,892,656,788,346,976,
287,765,218,838,901,240,196,608,887,506,432,838,577,474,323,629,818,474,156,
575,928,013,666,321,011,550,031,390,473,505,770,855,648,380,667,981,884,381,
640,175,566,962,464,287,833,878,064,999,277,446,152,650,659,860,736,842,814,
171,398,954,366,619,037,189,088,615,969,192,280,452,408,268,635,807,569,353,
036,977,211,295,479,154,993,126,028,776,951,846,076,686,098,741,415,369,441,
730,493,849,131,221,596,641,094,194,308,285,692,724,707,213,352,997,613,166,
523,332,304,341,123,757,627,958,906,174,923,794,435,663,877,800,561,110,450,
674,578,972,220,736,640,632,012,573,527,191,014,539,423,231,052,910,382,384,
806,498,251,876,126,257,218,662,218,610,522,765,301,617,535,596,740,052,385,
116,478,604,040,518,938,988,651,915,462,410,147,007,650,896,729,788,448,499,
891,089,663,188,988,732,723,490,258,927,552,108,659,796,717,337,427,349,661,
172,772,819,523,860,173,757,160,022,543,167,981,576,564,787,039,429,489,980,
972,326,417,617,776,092,139,441,823,061,398,014,052,460,545,444,759,646,674,
558,209,956,427,183,560,546,023,421,039,293,651,868,116,246,927,213,008,443,
689,086,825,530,886,729,605,538,758,195,947,410,709,057,558,039,945,049,201,
652,909,362,441,375,585,777,183,076,906,300,121,525,476,059,254,608,683,576,
676,488,429,073,892,254,898,549,523,623,732,580,548,422,086,724,946,727,166,
016,263,884,185,927,524,258,518,277,426,365,315,086,238,756,419,005,572,491,
560,162,733,758,022,369,210,502,113,030,631,518,226,504,403,988,977,771,624,
364,349,787,799,326,268,230,093,575,473,584,636,657,808,468,583,266,171,794,
738,296,761,682,684,097,602,247,404,956,240,016,032,046,443,987,636,141,669,
837,896,586,470,528,340,235,089,595,088,210,365,439,621,702,815,703,355,271,
728,235,918,746,326,659,926,312,464,638,052,175,929,376,223,196,631,767,207,
459,839,646,919,632,781,538,868,474,652,712,166,627,321,308,726,840,844,161,
848,498,622,584,274,456,676,622,983,493,998,475,573,758,930,981,397,367,399,
713,676,262,462,171,007,003,257,386,136,933,592,608,996,942,217,789,222,492,
919,820,159,366,694,018,067,575,181,877,747,696,090,499,038,075,776,707,630,
355,525,366,898,805,793,369,198,332,022,898,010,516,458,195,186,099,142,791,
309,712,208,552,346,310,243,717,455,154,733,600,161,465,559,705,862,881,022,
801,396,940,031,782,502,394,149,488,635,737,424,566,886,909,480,237,028,689,
667,805,957,048,509,825,362,707,232,879,724,112,160,198,537,873,691,973,211,
825,930,368,287,467,611,803,826,330,624,111,972,652,090,785,395,696,181,197,
843,421,270,728,267,925,862,864,992,213,245,825,242,196,486,765,451,510,259,
760,211,876,204,998,836,645,780,937,434,218,469,739,879,628,265,274,328,358,
077,047,638,906,818,832,845,564,179,686,011,396,746,268,375,620,976,334,565,
869,119,487,802,673,609,734,301,837,681,370,505,940,446,782,126,024,240,597,
571,828,088,993,077,082,835,653,425,442,368,060,230,177,418,235,161,862,668,
265,508,204,476,227,356,586,982,283,197,266,551,194,458,123,570,522,486,020,
878,802,177,683,984,969,048,447,834,178,294,529,999,522,927,794,372,298,967,
219,278,826,387,051,149,560,575,875,553,391,215,459,943,576,133,193,995,869,
134,541,944,628,368,648,236,242,682,549,624,338,344,187,371,257,728,881,093,
291,858,113,083,749,460,719,222,724,370,564,893,575,039,260,274,016,494,463,
905,190,864,369,815,535,295,793,482,259,151,743,630,171,197,254,884,515,914,
364,338,888,093,037,917,471,206,825,684,664,571,397,948,553,687,736,436,071,
581,591,976,128,487,042,203,069,563,856,904,923,781,911,213,602,276,375,766,
962,064,582,479,357,203,648,088,608,698,079,578,142,684,090,854,066,295,776,
394,261,697,128,939,164,188,033,962,121,733,460,860,851,465,296,274,121,393,
269,183,506,475,726,477,916,857,415,105,609,615,510,858,008,518,288,530,314,
580,335,242,049,584,336,863,033,470,956,354,413,228,415,819,924,194,485,317,
075,582,111,888,270,701,521,995,871,706,544,227,652,130,379,006,888,490,679,
481,000,989,826,216,790,737,488,492,735,024,349,498,146,086,722,040,586,683,
289,012,747,264,688,439,547,752,327,615,697,021,088,243,270,731,739,595,353,
562,277,594,958,674,668,103,545,075,707,043,205,243,161,257,889,470,357,650,
326,894,542,813,883,062,501,622,359,941,977,672,994,178,920,474,409,942,059,
929,513,847,887,598,319,154,270,030,150,399,702,302,657,805,065,736,808,871,
355,714,184,553,972,427,397,694,454,009,519,588,419,255,359,465,577,953,651,
222,493,157,665,430,283,247,056,692,966,635,840,900,795,455,676,358,078,224,
859,167,347,416,767,592,350,369,801,832,357,344,330,867,231,938,480,024,102,
015,416,360,488,519,240,780,140,910,276,639,224,329,396,977,853,872,152,204,
806,531,751,603,001,901,039,541,332,693,260,201,998,171,176,359,955,828,148,
042,815,584,176,269,186,409,515,182,157,170,303,635,211,447,865,840,828,758,
573,374,810,147,487,599,101,279,246,160,449,288,366,570,911,553,989,125,443,
363,007,393,922,835,935,377,157,962,130,238,280,541,923,942,791,762,070,800,
347,508,814,649,367,542,061,421,818,535,192,941,921,815,890,636,406,326,705,
877,096,753,051,945,402,196,752,269,602,799,013,511,856,307,053,188,691,789,
776,058,178,665,209,986,702,122,580,651,050,114,954,313,254,636,582,582,811,
990,214,824,428,597,198,859,812,232,392,394,233,992,117,840,476,883,883,550,
048,677,247,404,283,765,519,710,687,156,334,314,595,210,424,801,060,414,610,
122,792,808,232,962,477,413,907,747,118,064,567,103,594,308,252,943,667,788,
948,924,566,599,349,709,412,820,046,867,698,904,281,382,271,661,537,719,540,
182,926,382,380,170,301,017,104,378,370,016,861,691,809,917,475,132,959,425,
473,498,857,391,528,133,361,391,829,115,542,742,065,838,605,054,401,099,590,
682,352,129,515,443,441,533,325,212,675,431,775,754,055,833,580,637,874,377,
595,675,991,833,975,767,425,665,121,598,344,022,414,445,134,589,312,952,162,
020,677,369,285,095,618,872,429,102,805,101,797,524,387,926,621,235,121,604,
586,217,949,331,803,012,529,348,493,763,285,673,814,271,160,493,993,259,004,
419,542,945,054,024,571,911,080,174,937,003,435,511,159,052,284,315,427,952,
365,553,538,363,050,523,479,398,843,394,924,297,722,423,493,641,324,578,677,
209,337,581,030,454,554,903,674,575,667,940,381,172,661,052,932,336,263,447,
737,110,130,633,755,382,949,444,123,467,592,234,932,958,646,087,633,964,814,
895,822,559,617,361,003,377,427,565,463,641,054,023,042,238,663,081,336,895,
770,935,486,572,772,505,960,404,996,308,708,361,314,461,612,213,864,256,922,
689,605,263,202,834,793,156,643,724,453,566,486,832,358,956,392,014,278,459,
314,940,725,356,967,893,742,326,220,885,368,217,797,215,404,596,392,143,895,
794,885,708,844,372,854,678,659,030,443,605,938,013,786,192,460,225,261,141,
273,336,144,020,860,605,799,023,699,447,918,596,552,797,075,180,568,672,831,
195,960,531,866,980,518,486,334,393,069,629,989,490,919,341,255,008,340,163,
158,633,910,988,297,019,553,414,636,286,285,126,608,553,188,954,634,027,338,
185,374,955,136,554,873,432,139,855,943,737,064,126,055,066,823,020,695,499,
389,360,754,696,920,958,425,639,687,300,934,420,879,129,387,122,768,853,728,
858,423,546,966,340,587,824,676,719,913,093,552,972,004,211,568,179,373,501,
547,227,432,921,379,889,179,842,975,903,461,612,421,312,820,273,634,591,715,
140,287,720,302,840,052,815,764,447,140,433,424,621,665,639,118,385,111,321,
451,066,699,375,650,287,812,086,133,550,665,396,486,067,515,363,700,091,234,
834,678,514,289,366,704,159,577,528,198,416,537,010,903,502,085,166,076,003,
776,972,295,050,131,650,146,398,523,832,668,292,615,965,866,888,438,714,531,
470,662,930,040,805,238,273,152,303,816,567,979,896,649,988,493,686,219,757,
793,280,138,244,146,031,090,377,912,427,253,328,624,150,940,010,266,423,481,
681,632,466,287,738,200,621,587,610,676,812,351,728,013,805,319,774,858,054,
277,598,337,882,197,475,385,423,059,554,709,078,173,371,764,981,779,766,095,
343,131,708,531,157,328,913,790,308,365,874,867,897,802,660,260,275,525,497,
705,322,351,051,329,865,053,192,641,581,611,722,072,858,635,481,826,721,688,
425,925,985,621,891,825,358,136,547,696,569,993,158,268,071,949,244,755,375,
511,310,679,272,141,098,519,414,155,174,673,556,767,249,754,524,031,518,312,
745,057,461,275,596,950,415,136,365,348,191,424,787,810,465,373,500,627,494,
876,421,508,716,501,254,945,724,739,324,234,449,233,082,425,888,052,467,746,
939,391,181,766,258,643,953,831,235,543,436,632,648,641,725,914,502,220,623,
572,741,678,839,215,837,258,055,992,679,764,930,545,678,127,603,840,089,942,
640,658,265,192,185,754,730,510,321,314,100,393,162,547,361,012,676,830,544,
890,618,841,401,965,947,072,416,838,461,656,905,479,269,534,930,701,063,407,
303,208,489,144,025,564,405,936,364,497,358,812,071,932,835,742,854,767,143,
522,069,615,414,096,342,196,958,692,854,437,228,008,629,130,398,628,895,152,
893,096,152,688,715,074,086,860,519,222,632,527,907,645,223,262,594,149,892,
824,376,328,948,335,925,062,736,336,725,724,171,433,747,311,669,139,334,495,
943,277,968,445,971,074,861,781,530,741,817,477,476,729,983,146,629,360,578,
654,945,669,862,748,602,273,839,993,240,859,240,226,150,223,146,345,154,505,
972,093,213,546,490,015,014,385,948,160,380,933,704,895,422,208,226,105,390,
216,078,685,427,500,311,068,385,895,391,516,883,843,629,136,133,983,172,743,
811,832,222,965,021,815,145,988,903,165,943,208,822,251,739,807,845,553,439,
949,798,104,065,617,551,871,129,545,178,537,918,929,035,376,030,260,243,667,
270,007,907,719,699,796,568,309,765,878,611,141,482,652,390,251,973,737,617,
066,442,535,061,778,628,240,675,013,403,549,247,454,382,731,962,731,740,157,
193,330,101,051,935,020,774,759,520,961,423,274,991,941,176,176,339,384,977,
218,675,823,705,654,979,313,777,969,567,620,951,536,636,480,591,303,776,448,
678,798,030,787,652,833,293,231,702,297,991,078,857,057,510,025,395,747,682,
874,082,024,736,747,565,819,738,591,591,250,074,734,950,700,688,424,823,542,
609,117,213,413,074,274,553,944,652,117,068,754,229,488,697,690,081,245,462,
798,186,807,501,201,419,316,963,416,567,841,985,469,174,455,401,889,616,165,
452,225,402,861,885,146,304,902,769,550,962,330,414,526,246,806,842,761,293,
487,533,070,718,866,233,488,934,882,123,764,291,375,986,902,776,346,427,526,
705,896,749,577,166,750,984,460,649,107,678,114,044,792,683,355,311,048,933,
641,181,802,503,247,228,338,339,618,930,884,098,162,392,526,073,810,507,520,
228,711,988,382,081,573,250,462,206,296,542,282,554,630,454,954,976,700,204,
793,824,591,781,398,395,115,086,044,166,160,223,813,471,270,360,688,805,606,
211,573,520,180,543,013,902,958,902,562,429,533,375,619,968,956,829,378,521,
316,336,534,321,300,491,144,290,325,778,584,745,245,602,085,261,661,529,851,
580,945,677,947,471,481,568,267,072,326,382,437,299,437,449,695,728,779,167,
421,033,086,118,391,137,119,230,746,301,051,394,345,789,524,636,271,513,558,
603,923,747,094,830,870,251,190,481,883,515,197,818,268,713,092,709,829,034,
550,289,679,993,860,591,443,867,633,202,038,887,630,989,971,472,181,706,264,
410,816,777,972,554,017,565,058,160,132,874,469,783,817,135,604,739,866,455,
961,312,223,505,863,592,379,908,911,001,786,027,083,654,964,003,762,403,489,
255,382,505,221,750,079,345,646,323,666,008,891,642,614,169,873,209,548,271,
448,729,517,642,623,689,929,055,180,615,972,652,645,713,588,558,585,999,387,
462,856,049,940,658,205,476,653,496,576,058,602,736,742,242,350,500,596,021,
825,483,773,785,183,571,151,112,796,193,649,172,104,791,499,195,520,407,804,
080,125,834,254,006,791,966,712,209,937,972,351,034,579,450,545,492,501,908,
761,100,632,179,269,513,032,269,449,451,305,757,598,943,759,467,486,885,681,
461,825,062,710,562,381,098,037,352,061,754,960,244,208,239,423,110,226,117,
632,815,424,081,393,167,441,241,891,949,553,105,479,939,986,094,904,425,503,
676,386,331,899,919,927,118,329,837,249,405,808,612,651,425,491,647,527,112,
107,272,340,570,768,072,693,965,865,462,100,588,373,898,187,324,569,246,070,
863,819,286,068,752,261,532,508,824,833,697,130,654,156,806,154,445,750,592,
307,521,511,936,749,070,429,093,214,532,376,629,023,806,098,290,046,537,900,
797,895,281,259,269,203,174,791,785,510,598,211,041,256,636,100,464,807,114,
169,895,442,888,188,347,300,585,975,127,885,279,089,302,550,810,226,700,385,
841,488,320,302,353,775,184,019,485,726,386,270,637,167,124,865,332,095,524,
875,649,490,527,115,579,884,028,442,116,557,290,668,146,256,704,118,504,004,
325,501,807,175,617,996,232,743,301,424,453,006,715,012,575,729,272,841,402,
981,056,196,491,280,323,375,406,266,052,165,719,266,435,369,958,076,159,177,
936,090,105,384,936,136,504,896,983,577,045,528,417,113,025,380,100,480,365,
447,331,335,799,652,479,929,732,623,928,055,077,207,273,511,281,500,717,517,
648,326,635,493,471,120,584,771,527,967,152,591,523,863,927,829,216,527,304,
270,158,241,913,486,293,373,812,274,528,935,290,893,249,507,012,820,110,901,
223,528,330,426,792,329,781,644,640,084,165,151,764,613,834,015,553,455,755,
110,127,298,111,840,832,782,368,142,586,490,933,722,539,719,111,136,693,249,
042,422,135,517,429,225,118,392,553,179,398,422,239,301,717,956,039,546,675,
710,508,745,119,435,227,607,485,855,107,235,601,105,233,093,185,231,170,677,
224,050,167,033,702,244,333,611,861,519,710,936,467,710,441,147,048,516,169,
730,901,239,901,832,462,421,655,887,914,340,368,715,609,725,511,713,991,805,
723,773,629,119,821,988,768,602,437,689,055,981,527,902,668,201,446,238,694,
206,740,234,736,051,789,657,140,415,846,642,025,019,203,345,907,450,284,803,
790,675,028,088,640,992,167,862,865,294,849,887,070,045,633,173,217,237,415,
997,669,051,394,836,186,942,389,476,009,309,846,917,191,339,297,953,007,626,
400,110,935,207,677,704,537,949,517,184,419,908,012,616,425,318,530,209,619,
253,093,244,463,897,098,486,642,512,503,004,821,332,368,822,942,147,688,863,
181,052,510,793,788,222,412,784,523,092,137,586,735,763,531,711,001,916,225,
965,593,196,192,961,472,182,624,477,164,164,478,466,493,559,322,798,367,305,
577,001,793,749,997,803,138,260,523,941,106,029,483,776,766,306,146,489,013,
684,014,665,348,321,335,940,696,964,193,474,224,218,860,982,835,880,494,744,
179,837,307,611,128,337,347,636,470,488,141,467,653,013,997,790,955,562,771,
659,083,894,548,626,429,673,167,091,416,749,215,306,180,911,372,340,340,911,
029,921,704,128,820,589,764,627,282,924,121,490,001,379,062,904,653,382,254,
999,705,770,931,436,432,384,215,480,756,908,961,212,520,680,851,876,287,509,
688,476,947,736,253,362,532,165,999,634,709,426,518,705,744,864,096,111,929,
163,212,516,530,327,511,922,829,716,543,487,489,851,970,107,942,784,308,435,
257,219,646,151,732,945,628,751,419,283,795,871,636,603,235,294,987,196,725,
875,880,604,774,208,725,387,671,281,906,736,399,735,633,304,539,100,961,595,
500,424,943,851,383,589,722,915,236,833,112,266,385,624,360,972,230,251,140,
838,277,220,338,794,990,783,244,197,177,303,499,848,348,536,698,898,451,724,
739,225,489,881,425,019,450,130,469,635,056,112,910,193,658,888,076,808,786,
871,790,946,532,840,941,770,284,197,589,141,153,871,599,594,380,963,708,249,
865,055,281,484,444,685,804,727,704,205,101,970,781,879,928,707,238,863,818,
394,024,498,866,802,005,736,073,884,390,474,454,256,155,876,667,416,751,929,
642,838,589,063,137,432,899,330,852,752,531,923,340,905,152,118,630,773,073,
181,100,908,426,574,107,143,585,680,496,735,661,139,797,944,322,650,916,797,
967,875,872,352,221,865,347,236,754,452,691,175,321,815,534,515,360,610,801,
394,626,697,043,485,876,453,512,707,624,046,704,896,676,994,192,960,773,583,
706,203,737,388,042,167,419,401,024,093,203,148,698,539,293,887,547,630,684,
592,268,602,931,941,726,029,607,269,881,393,510,631,644,627,883,869,684,859,
294,843,469,613,484,446,664,778,598,735,046,387,894,245,084,975,072,253,442,
685,357,848,926,578,569,372,532,729,001,448,047,257,186,465,207,385,478,334,
731,855,989,720,562,638,533,731,606,314,285,941,875,154,822,035,056,182,664,
191,821,260,622,217,232,087,594,342,319,738,305,019,420,984,945,650,235,792,
622,682,326,288,750,874,368,404,192,521,522,580,744,640,094,929,599,435,893,
211,791,347,735,395,756,346,790,567,657,496,053,533,567,455,890,073,261,780,
579,988,307,442,259,921,265,572,505,264,743,670,506,186,256,862,326,164,458,
474,780,954,223,557,586,706,482,634,289,026,291,390,241,745,069,485,037,254,
518,855,319,779,606,813,028,091,477,542,309,769,782,189,597,915,012,116,041,
523,199,871,831,726,574,064,974,558,325,432,920,059,738,270,043,227,946,550,
758,350,223,339,042,551,147,613,322,989,766,896,379,988,348,266,992,403,586,
045,968,215,405,369,302,380,057,303,806,404,481,742,939,314,392,420,525,286,
914,616,258,846,019,756,822,520,865,346,087,393,608,134,366,276,149,866,816,
526,570,357,388,067,540,226,628,540,337,593,959,173,952,046,480,048,214,901,
569,297,367,190,428,785,773,967,257,604,386,498,711,219,770,253,728,029,492,
627,567,013,282,949,847,787,914,827,790,510,825,169,333,993,591,956,858,001,
609,215,827,658,168,312,950,760,212,717,556,437,181,946,811,162,915,723,128,
159,798,504,603,209,547,796,520,015,013,253,874,708,237,231,366,697,807,366,
084,594,767,793,700,965,087,197,364,018,534,614,194,220,776,019,273,612,627,
121,877,368,137,185,592,816,382,762,022,118,289,469,531,968,279,851,334,839,
805,972,868,367,765,429,030,978,514,815,597,953,280,152,745,517,793,089,622,
328,760,928,352,043,279,204,414,455,334,409,364,155,491,817,658,807,479,136,
073,799,718,125,573,167,767,120,374,124,115,153,368,801,529,644,324,140,092,
150,613,875,442,282,844,580,054,726,795,647,369,250,824,182,595,065,041,871,
741,475,880,686,171,645,035,081,259,568,744,031,062,274,211,018,844,816,796,
431,597,443,501,164,800,467,388,259,411,525,886,380,264,481,711,182,117,730,
296,685,578,470,568,513,772,102,396,994,938,805,395,180,238,072,245,000,999,
280,317,834,981,381,115,811,721,602,084,234,007,016,920,254,662,454,713,760,
854,512,978,056,516,369,339,888,911,602,930,233,107,564,660,769,420,866,671,
609,250,069,470,667,953,090,772,690,016,458,446,396,070,354,476,338,487,773,
581,774,030,265,060,633,358,010,666,577,290,021,025,180,469,399,027,538,944,
356,172,094,153,615,169,920,047,711,688,307,747,798,029,203,656,021,114,505,
593,904,923,401,432,226,238,016,936,722,979,819,042,883,829,055,580,454,987,
935,109,282,838,780,160,401,756,737,804,569,372,578,896,707,671,504,855,721,
905,070,282,663,340,376,976,034,813,579,292,178,067,490,437,949,463,360,619,
381,202,943,204,065,857,581,299,288,780,770,493,845,421,836,515,387,776,309,
713,784,961,961,291,203,318,291,377,627,919,187,567,654,226,468,385,276,969,
057,863,606,666,814,000,772,186,421,811,407,221,425,049,277,597,553,764,020,
338,966,020,242,352,627,573,969,598,933,087,180,870,149,080,967,031,319,299,
530,052,845,704,851,596,618,468,591,126,763,639,485,889,279,657,730,443,375,
003,259,573,713,641,697,121,734,938,583,833,926,663,933,883,148,684,582,597,
809,242,125,757,056,991,436,167,587,789,412,616,719,530,687,104,706,781,949,
299,858,275,658,029,273,789,873,638,706,792,306,509,002,666,087,107,702,446,
658,909,189,853,002,751,420,892,707,582,629,935,064,879,369,923,737,997,419,
745,712,207,385,656,984,610,245,560,442,260,428,250,606,217,670,300,169,672,
741,171,676,413,096,603,000,589,157,538,123,927,747,384,746,726,896,888,337,
223,170,573,468,267,095,856,185,471,175,712,529,254,364,965,073,213,090,972,
964,768,441,757,527,248,199,409,411,244,431,502,354,384,148,642,277,200,704,
044,407,148,742,690,524,144,935,821,637,290,499,726,116,259,134,022,730,986,
238,879,784,185,446,866,705,269,966,157,885,865,553,951,360,039,190,662,550,
563,705,935,452,239,876,693,303,257,386,526,760,642,446,763,542,085,425,512,
077,063,660,280,659,881,672,966,850,962,418,632,557,555,657,895,156,104,496,
025,051,051,026,931,912,825,264,203,398,106,205,515,569,576,112,300,738,790,
753,410,318,673,846,109,005,882,942,340,290,728,872,584,167,933,063,926,703,
002,853,224,807,756,472,182,923,895,574,385,462,789,077,781,325,856,221,132,
816,326,768,105,723,997,646,293,081,885,119,804,668,671,619,211,057,631,525,
883,595,516,377,005,494,408,273,025,729,222,649,253,990,054,615,752,579,853,
066,342,200,596,985,993,408,858,857,104,866,871,785,439,639,383,939,163,181,
882,428,438,407,866,500,315,814,487,531,515,640,784,415,803,687,057,092,470,
289,969,274,861,416,332,555,693,074,265,367,204,812,759,962,926,949,557,683,
286,863,628,807,557,383,206,893,867,355,900,373,926,974,521,741,174,306,896,
629,782,911,982,000,875,929,462,802,000,787,310,941,248,776,702,605,928,822,
984,375,713,082,834,497,106,384,395,968,338,950,861,962,804,317,446,578,821,
408,659,259,803,892,483,567,738,872,899,199,956,709,867,216,734,617,934,442,
318,926,901,311,752,840,410,553,640,122,686,479,845,138,893,061,859,892,934,
398,898,527,000,979,836,270,973,394,789,191,972,814,342,113,754,965,063,637,
670,693,349,270,997,836,784,831,197,652,008,472,479,306,510,246,013,839,109,
771,946,514,130,693,504,862,902,187,664,399,612,027,533,223,988,494,388,634,
789,926,532,945,709,486,672,347,466,118,816,513,221,571,735,217,891,228,951,
810,018,593,491,355,305,090,749,302,330,162,567,716,647,186,108,709,540,229,
460,694,667,900,799,015,708,424,389,363,668,029,772,410,391,169,995,958,029,
537,728,489,777,050,276,519,969,103,727,301,033,468,725,229,109,378,916,696,
306,380,148,077,030,928,478,817,467,678,415,134,988,237,259,655,581,723,863,
234,559,822,890,170,346,413,520,322,577,495,355,917,763,330,822,896,892,105,
520,041,140,048,634,372,739,112,198,323,814,284,541,105,398,542,747,557,146,
946,283,090,503,532,738,330,458,085,367,602,589,069,685,994,961,752,631,858,
471,430,115,629,432,405,731,931,397,068,788,029,716,746,476,697,748,368,863,
696,146,721,587,198,965,781,320,398,961,888,806,412,655,667,092,258,637,800,
765,602,788,999,644,391,544,902,925,837,593,122,277,558,744,383,048,539,135,
701,088,916,944,998,597,795,868,290,294,971,511,824,375,419,663,667,777,486,
460,149,058,033,583,546,659,499,798,792,424,222,412,647,198,315,757,946,753,
108,878,744,855,798,785,833,890,141,587,999,477,133,507,642,361,636,288,474,
202,863,633,357,696,379,734,446,855,533,475,573,405,365,905,146,705,569,998,
045,401,544,048,481,260,437,267,725,563,263,048,109,920,708,084,161,685,367,
285,981,360,177,781,747,516,751,944,972,473,087,946,663,195,821,815,556,596,
220,426,117,190,848,308,095,923,174,269,130,894,758,878,009,747,883,507,778,
756,426,756,438,392,239,065,044,089,207,530,780,998,581,848,598,534,017,741,
252,991,356,875,181,615,208,379,945,393,038,960,141,761,552,528,785,831,580,
223,982,281,857,212,213,660,513,066,615,260,258,377,770,447,461,042,781,283,
625,795,735,220,920,235,241,805,248,559,268,208,481,688,511,934,617,595,598,
318,590,360,731,092,527,925,319,307,110,550,141,897,030,757,320,055,668,568,
317,789,809,854,397,356,254,408,551,852,163,160,481,442,927,235,191,756,479,
506,903,106,294,359,698,534,492,475,394,144,983,456,355,510,197,448,865,846,
270,900,912,216,375,388,133,824,447,901,730,589,584,616,792,448,760,516,430,
262,007,239,435,183,122,724,836,740,693,855,280,265,333,464,431,446,040,638,
424,309,931,042,081,943,855,699,031,388,553,471,355,931,508,710,417,243,971,
818,728,262,749,641,068,784,413,158,487,218,112,932,429,142,264,520,696,161,
675,918,647,632,224,062,909,713,473,059,008,367,362,869,388,993,427,788,501,
503,560,486,472,166,170,511,432,723,296,295,991,028,785,378,269,929,638,906,
169,371,997,199,847,128,078,613,251,129,670,939,070,996,498,136,932,603,340,
920,170,594,757,216,698,899,069,481,739,983,562,406,254,239,807,169,038,589,
727,700,336,194,836,409,818,304,434,955,502,954,073,357,992,967,234,261,360,
008,253,338,223,129,734,830,716,009,472,716,190,589,771,554,338,945,082,132,
450,960,655,037,650,208,856,598,954,643,575,606,723,755,195,080,953,436,916,
167,399,046,040,060,338,239,942,721,209,304,659,400,508,902,596,028,645,510,
003,876,334,262,665,355,705,409,347,456,444,859,053,567,053,416,708,529,359,
908,070,374,980,496,253,338,095,940,678,588,239,088,064,590,549,047,684,554,
527,678,726,519,250,922,867,321,380,239,549,672,953,695,978,339,275,793,402,
073,448,394,410,450,486,997,509,896,000,472,349,133,183,962,087,578,447,621,
615,216,886,632,249,287,450,718,328,315,850,484,959,803,436,190,873,114,294,
845,229,927,114,779,391,049,187,435,275,224,729,413,361,995,664,701,974,995,
954,213,815,766,453,271,997,817,622,606,166,280,196,544,053,972,706,471,894,
370,556,650,524,190,632,834,460,846,508,142,566,012,447,813,111,847,404,095,
537,170,298,572,138,601,894,779,339,944,037,222,343,944,500,503,644,607,207,
788,426,827,990,169,978,040,318,797,771,544,000,487,575,336,020,666,090,973,
284,672,648,598,253,729,661,954,684,045,564,297,879,205,249,554,277,519,779,
677,295,923,067,333,370,818,040,720,856,123,149,248,441,834,253,354,659,236,
811,714,889,922,684,120,852,442,501,259,931,049,518,381,239,466,606,487,101,
370,930,665,452,190,277,890,757,939,499,897,342,707,494,136,648,951,452,575,
556,726,581,528,988,408,508,486,366,929,909,790,992,324,027,200,157,377,584,
596,594,229,755,229,807,512,574,635,145,406,449,858,855,228,374,711,051,766,
244,759,566,784,929,728,486,640,421,315,355,066,442,366,437,758,518,271,073,
840,863,082,152,364,407,682,661,222,968,750,391,166,017,910,748,369,219,130,
638,399,866,979,075,747,106,863,486,205,588,158,099,631,816,108,389,042,503,
322,235,683,203,028,881,036,609,440,426,463,334,058,226,175,259,909,494,861,
597,769,718,267,180,648,776,200,642,251,331,246,529,104,238,927,338,413,615,
885,016,711,072,008,304,049,609,606,699,168,271,007,978,063,633,415,654,107,
296,608,552,517,847,483,063,713,878,783,040,303,130,561,704,371,851,999,309,
856,681,285,007,752,937,414,312,988,556,667,119,630,588,558,303,293,133,956,
990,490,620,935,586,499,606,834,313,158,069,169,908,685,808,013,663,206,556,
331,514,627,664,537,321,882,242,524,309,406,021,911,777,038,515,024,316,196,
790,129,742,920,686,869,421,794,293,429,010,182,891,608,362,074,761,664,388,
486,553,001,908,351,779,851,621,290,483,378,698,569,979,369,576,904,527,926,
281,773,359,218,902,638,012,426,166,178,797,474,516,453,390,472,264,895,629,
995,205,339,568,130,434,200,567,104,851,894,852,662,743,003,252,920,716,038,
399,711,456,024,858,498,160,326,589,635,247,030,471,087,979,911,166,798,842,
557,628,331,505,973,185,187,376,503,536,442,301,367,937,489,579,847,893,851,
456,048,107,717,709,360,674,196,830,882,503,323,772,247,410,385,598,646,285,
446,220,751,247,675,844,852,491,342,379,990,320,277,964,515,569,164,260,820,
553,901,269,961,170,076,122,623,169,505,703,251,696,321,658,988,969,134,067,
824,466,086,181,030,562,858,909,489,076,245,535,398,341,950,946,526,258,090,
067,024,816,797,260,263,232,265,520,328,376,251,152,992,697,716,236,699,497,
882,880,187,020,503,255,320,896,478,409,130,250,618,374,836,693,309,243,193,
389,932,123,238,466,085,643,334,790,615,155,572,699,897,780,742,517,338,557,
701,233,016,832,818,212,063,780,349,414,337,980,482,235,568,785,832,014,181,
165,820,093,437,480,213,584,732,303,136,856,854,593,543,616,789,789,251,783,
895,162,772,671,171,306,243,179,730,387,344,398,645,815,704,274,851,923,577,
240,550,377,417,805,168,573,136,005,343,510,040,517,612,747,241,312,456,354,
011,864,009,683,577,777,906,676,150,271,098,559,651,549,174,641,436,968,732,
094,277,235,972,933,301,956,318,937,638,295,616,620,735,522,717,584,115,056,
337,749,650,429,915,493,225,579,922,057,867,413,175,338,365,693,448,127,583,
295,553,982,436,837,704,664,482,181,180,138,111,333,113,794,916,665,613,869,
842,195,784,868,561,555,609,315,724,165,163,648,800,083,067,699,723,180,283,
014,561,519,267,905,633,755,288,590,104,849,563,352,393,485,330,865,752,243,
308,953,111,061,660,908,637,375,085,024,527,431,377,331,231,800,614,335,727,
672,873,853,729,997,050,698,824,266,571,050,155,905,283,597,562,350,126,608,
876,076,095,411,549,015,799,614,109,632,529,200,634,633,756,306,618,313,905,
904,884,118,702,044,124,512,067,218,719,141,196,227,115,691,515,278,196,312,
125,999,579,168,398,820,612,274,259,528,740,037,989,699,570,859,468,459,339,
897,916,898,873,461,314,714,091,592,021,624,341,584,437,356,101,045,649,261,
659,866,458,599,487,827,897,265,680,428,603,503,961,833,649,201,053,798,308,
408,892,240,406,332,400,989,449,873,495,295,752,104,160,117,007,990,319,083,
581,058,301,824,044,360,711,411,609,554,611,479,480,603,673,983,215,860,670,
952,352,466,461,236,633,316,977,240,532,689,272,904,987,812,649,500,885,165,
883,376,777,369,929,143,997,605,646,739,004,901,552,293,102,559,039,965,344,
906,518,423,889,436,331,366,481,248,591,562,429,833,433,887,669,254,388,118,
738,952,567,527,234,059,268,323,869,164,194,484,729,996,395,427,919,804,209,
607,653,437,717,966,678,017,987,488,809,571,288,102,882,820,462,810,231,401,
366,084,250,419,437,781,916,226,842,241,346,307,498,598,682,763,668,016,859,
419,859,873,478,346,468,891,318,737,806,233,114,816,533,341,758,241,374,257,
571,907,415,310,884,623,949,460,127,551,629,697,572,823,357,663,896,673,739,
404,891,031,549,329,059,909,014,472,242,707,016,103,877,576,081,698,376,340,
642,928,216,348,112,034,964,269,274,799,916,547,303,742,100,952,739,279,764,
041,532,105,123,462,072,554,308,266,751,713,395,193,401,462,948,095,969,812,
335,871,476,236,972,034,840,928,750,402,894,273,241,662,457,948,822,015,757,
327,288,779,650,283,076,199,727,114,024,629,031,859,686,574,304,088,984,676,
614,229,055,847,068,191,297,110,542,599,662,351,567,239,193,267,247,441,535,
842,356,230,045,985,080,449,431,024,680,915,633,533,529,159,607,126,954,522,
134,387,526,645,524,087,288,325,506,377,328,595,785,294,825,777,212,398,715,
390,887,231,165,314,085,257,726,232,616,452,079,594,058,521,331,910,744,949,
807,604,217,613,008,442,876,674,646,657,928,379,580,436,682,324,179,235,087,
270,181,056,934,324,387,065,505,405,984,328,295,009,540,456,992,298,131,455,
184,097,423,636,691,548,543,363,072,939,490,520,128,324,110,810,787,533,968,
501,488,180,422,397,782,870,214,710,988,430,768,339,305,149,494,061,518,810,
935,420,736,713,930,203,258,326,503,214,582,877,173,631,565,336,068,254,640,
590,852,854,094,392,552,746,628,854,833,473,424,185,195,163,191,018,977,885,
114,921,438,401,684,077,516,645,380,221,555,037,259,757,135,364,074,251,287,
737,679,445,481,942,097,070,905,647,071,208,034,509,228,201,808,187,191,006,
321,919,591,907,742,921,164,663,743,798,044,261,929,000,215,641,036,982,814,
860,936,304,576,253,692,558,231,149,301,131,484,046,594,697,254,305,889,610,
728,399,185,158,327,781,503,164,814,668,713,526,423,867,575,692,285,925,168,
585,283,938,409,614,567,011,982,032,341,813,308,047,692,691,469,160,797,083,
861,511,326,847,025,489,749,496,292,349,672,307,998,565,364,344,065,766,615,
424,955,133,349,178,816,192,833,505,666,953,138,850,632,947,738,044,217,842,
510,037,388,400,771,079,621,783,427,728,338,615,933,177,939,167,798,006,623,
042,448,246,650,313,913,717,030,926,129,368,911,578,687,959,864,391,258,711,
688,670,937,629,028,621,304,055,561,480,475,298,993,289,235,533,152,362,956,
715,075,494,012,470,175,157,757,243,127,088,177,854,584,427,215,328,493,804,
159,701,512,787,762,699,139,126,620,336,782,285,937,514,001,494,705,824,706,
734,089,331,283,750,740,708,079,621,980,190,612,769,518,490,367,650,385,247,
128,876,327,101,942,703,559,198,844,909,444,785,717,465,695,378,315,306,321,
035,279,855,314,378,995,027,345,160,845,020,464,100,737,529,483,615,032,341,
396,761,691,573,420,221,023,190,867,403,247,403,215,109,295,917,135,765,725,
510,748,644,793,078,225,556,296,842,186,654,133,669,194,918,058,617,256,956,
233,513,288,378,464,415,990,552,544,021,132,209,063,339,305,636,486,046,705,
121,156,973,187,040,456,106,874,034,920,431,178,517,766,846,124,215,492,932,
631,824,532,804,783,365,354,478,006,191,319,965,482,748,308,197,183,780,112,
063,933,298,559,772,441,613,164,346,039,160,698,854,228,503,653,560,564,331,
997,079,374,072,074,351,568,508,596,088,208,664,150,375,952,014,737,911,870,
023,208,143,216,192,468,147,924,158,516,848,932,154,972,379,616,930,887,964,
314,262,579,040,799,510,844,272,850,324,444,172,263,461,346,304,579,452,359,
299,721,683,800,795,998,034,080,696,714,508,137,361,145,561,073,945,417,243,
693,929,115,374,270,387,071,307,691,543,280,532,408,413,112,304,212,229,501,
412,552,632,244,328,642,688,725,084,110,662,717,985,616,895,232,735,692,815,
736,481,154,574,350,218,050,763,308,109,220,551,866,844,805,645,508,922,594,
645,667,665,685,561,946,340,189,156,447,822,639,623,769,519,642,966,987,803,
008,440,555,581,421,662,890,929,754,751,865,206,012,063,476,143,481,376,396,
426,369,369,216,314,653,721,073,306,890,165,672,935,677,281,249,665,324,368,
457,500,628,644,427,857,594,022,090,787,742,121,495,791,927,315,056,841,930,
572,873,241,173,038,471,131,039,712,004,604,588,880,526,058,373,072,823,083,
180,478,013,272,285,047,474,840,172,726,392,141,096,677,303,596,467,117,793,
397,082,126,420,947,878,124,591,717,685,880,268,782,447,508,646,861,313,500,
019,041,952,453,192,436,994,587,342,740,007,898,382,514,372,273,074,205,771,
658,882,007,189,515,702,485,389,896,572,626,489,854,507,232,600,254,386,631,
241,615,282,248,704,279,779,990,922,928,039,806,809,525,044,796,570,759,120,
473,706,798,660,784,487,020,332,041,167,825,889,790,624,678,805,190,500,344,
720,242,366,697,271,624,514,156,487,714,697,562,084,628,867,193,298,704,443,
428,372,861,237,543,733,366,433,970,335,792,230,210,609,807,581,664,036,929,
975,648,817,000,813,690,896,478,707,915,584,335,250,668,017,169,692,244,661,
649,571,689,569,583,915,753,487,027,594,069,432,058,601,971,908,420,426,884,
675,946,397,070,067,845,568,959,681,911,411,378,105,004,710,845,757,827,758,
090,583,324,724,808,261,609,153,420,737,661,946,055,551,326,358,520,328,663,
360,574,652,702,868,109,922,179,890,391,987,630,931,829,972,048,083,021,062,
290,877,744,915,794,254,983,786,626,563,802,308,545,718,433,537,603,535,763,
969,568,558,361,534,976,293,704,722,276,972,274,005,212,780,042,428,615,119,
641,844,125,790,324,812,779,926,019,700,113,165,352,911,167,302,417,872,733,
049,200,310,461,364,094,053,994,542,906,903,485,890,583,989,115,456,551,143,
085,255,757,875,963,862,770,445,919,695,656,444,696,587,351,377,657,146,164,
746,959,171,797,372,210,997,844,015,555,628,366,910,445,302,027,752,992,070,
250,444,342,453,286,747,558,741,309,142,593,485,768,346,235,201,265,860,041,
248,865,876,029,134,662,897,384,545,453,209,722,583,417,708,585,505,502,176,
206,522,337,164,022,531,406,723,998,094,945,597,633,305,210,145,947,306,042,
923,118,763,352,113,560,960,271,628,850,841,387,507,880,271,950,868,949,284,
063,196,335,516,211,517,044,143,533,629,470,730,498,959,870,670,100,298,386,
781,370,632,403,879,458,208,732,401,996,494,972,076,313,539,322,588,124,252,
787,179,695,930,229,658,568,031,788,674,646,259,226,425,115,135,286,341,360,
802,726,766,920,576,143,455,507,998,166,547,033,817,361,829,179,595,682,038,
953,055,197,307,692,887,498,384,766,577,352,483,694,582,876,764,483,208,605,
472,639,287,230,787,014,208,808,994,318,433,596,852,304,617,170,417,664,144,
844,033,759,998,006,768,392,277,685,240,116,874,961,880,381,411,299,193,900,
665,660,099,708,067,091,944,250,545,811,351,555,045,688,080,540,166,793,023,
326,425,646,238,922,925,417,236,132,541,763,299,464,754,140,805,634,283,860,
834,137,341,506,984,692,915,459,278,581,071,304,948,485,475,453,229,431,795,
533,396,428,989,802,414,041,099,718,082,058,603,470,653,060,166,605,466,805,
233,953,582,131,454,270,181,677,309,460,457,418,936,659,611,696,340,996,399,
936,754,549,393,444,520,001,303,646,519,171,259,763,617,580,398,869,150,228,
101,281,733,927,550,463,568,817,704,387,372,260,936,030,608,766,954,255,729,
681,552,600,911,965,957,395,459,523,398,135,288,142,408,341,664,525,303,442,
815,474,904,286,744,810,969,858,478,153,606,774,159,076,635,564,323,775,806,
331,042,668,342,076,234,901,645,690,915,494,488,682,606,418,925,674,882,099,
324,057,644,039,988,040,008,806,638,192,753,736,444,626,634,066,161,929,743,
360,407,092,214,848,452,929,608,512,317,559,553,751,351,021,520,196,707,552,
170,856,796,697,668,680,222,325,875,596,236,222,630,422,063,269,075,842,298,
164,184,842,764,863,025,942,088,129,013,404,716,651,045,326,986,074,906,195,
590,146,879,006,942,950,961,360,088,581,581,811,827,798,735,497,179,949,366,
827,155,408,120,216,405,153,414,493,576,536,833,993,891,044,765,438,099,324,
655,530,272,835,251,182,061,990,008,067,316,942,095,240,510,852,833,252,666,
419,977,982,357,510,260,977,832,827,404,502,042,158,577,093,384,685,531,333,
109,789,884,597,883,859,702,139,607,627,772,143,987,467,198,707,249,153,779,
517,887,080,175,059,506,807,542,182,041,687,665,386,694,077,691,671,959,607,
440,902,457,041,863,662,563,004,646,773,551,367,964,587,569,131,255,661,097,
569,774,168,479,537,280,126,217,503,567,376,202,396,082,844,178,910,723,062,
282,362,621,910,683,643,371,404,706,825,563,015,345,502,017,948,666,087,817,
548,086,192,850,953,738,165,068,995,662,409,223,937,829,924,297,025,695,041,
494,460,474,624,163,724,937,392,683,813,385,367,096,644,822,390,120,339,923,
345,054,141,844,704,883,127,214,167,393,152,404,793,230,143,979,341,624,493,
465,075,079,593,533,067,867,390,511,057,664,247,911,411,323,640,929,236,322,
657,389,215,739,363,975,413,162,584,311,412,479,979,537,873,436,957,538,871,
113,314,647,847,175,852,551,363,194,189,192,585,965,109,695,660,400,754,595,
439,080,299,819,502,888,477,741,639,460,029,087,481,906,468,691,357,227,604,
786,236,188,082,985,165,376,544,426,345,831,504,502,924,702,132,444,865,206,
135,934,225,008,099,997,567,759,045,506,316,877,220,631,555,829,377,746,928,
148,549,139,895,197,482,684,730,880,953,594,461,978,332,812,056,373,030,175,
652,029,131,730,271,395,573,065,996,330,236,058,199,216,605,746,101,701,595,
372,944,820,646,276,021,972,312,401,606,839,156,266,330,958,149,684,499,886,
785,897,120,143,817,923,779,331,439,422,962,193,438,615,895,413,952,264,119,
293,132,042,539,819,892,097,134,930,835,767,749,049,761,621,201,298,445,594,
608,283,939,508,197,800,537,857,815,803,744,742,983,359,658,711,049,179,728,
847,687,507,740,770,372,230,696,129,034,509,494,922,458,072,487,037,431,904,
865,097,613,464,240,356,780,507,669,555,792,311,973,448,982,856,113,377,058,
521,202,682,349,542,409,920,138,759,302,855,730,274,673,824,507,421,450,219,
491,291,002,519,618,065,923,387,225,450,665,066,112,057,496,968,167,073,234,
669,718,645,298,413,883,610,445,375,781,539,336,007,753,205,141,929,557,471,
150,896,865,831,204,528,129,963,741,828,495,317,248,991,624,921,710,225,779,
039,777,158,552,410,062,985,016,470,016,380,864,222,000,809,672,204,317,297,
930,138,941,733,089,398,357,548,937,477,027,749,220,911,783,400,685,599,438,
080,512,329,770,075,181,274,381,770,905,761,121,289,761,839,088,383,377,720,
350,477,653,076,175,351,539,319,576,586,830,508,188,152,316,552,234,038,060,
672,084,192,193,794,543,859,746,001,246,804,796,970,661,245,381,265,237,213,
955,875,644,398,566,430,146,168,836,388,881,111,362,901,487,224,516,220,881,
830,086,484,551,593,559,309,024,641,498,736,545,130,559,043,076,183,189,045,
241,381,499,391,668,671,739,184,482,319,406,447,905,136,126,068,683,260,092,
258,691,654,173,543,402,203,749,178,400,770,451,813,310,101,231,767,677,378,
780,921,958,379,254,168,828,123,131,172,304,050,178,124,371,271,997,104,505,
593,930,576,138,090,049,814,704,253,437,974,043,451,448,497,520,181,189,765,
994,020,047,681,303,873,792,475,238,416,648,660,044,219,423,587,062,242,332,
973,341,041,904,003,905,161,816,131,343,727,174,062,067,563,311,633,156,024,
763,596,371,307,078,329,430,366,684,064,244,284,386,111,786,092,110,665,899,
684,626,895,337,306,763,506,481,610,722,158,241,603,629,110,066,611,362,263,
037,886,760,597,059,321,119,145,312,115,044,139,096,715,221,327,175,177,231,
128,400,161,836,087,283,487,884,223,301,678,730,144,674,998,267,327,572,489,
437,073,718,331,597,911,880,669,843,452,864,007,149,266,257,401,119,528,146,
883,447,746,335,191,546,829,471,241,051,081,403,988,964,288,052,249,281,845,
554,852,444,829,560,251,545,249,129,318,925,903,316,598,773,041,915,738,083,
276,931,877,600,427,467,518,237,470,889,351,612,712,417,827,025,877,546,326,
381,439,868,286,131,201,436,093,440,172,589,870,345,920,092,363,759,146,806,
021,852,677,655,549,070,063,316,523,318,123,222,897,912,126,648,587,654,273,
124,702,762,360,706,490,102,841,108,378,942,694,810,808,133,954,407,572,910,
316,208,182,486,209,682,926,466,472,426,858,700,357,318,991,893,881,740,249,
398,656,304,596,812,435,177,562,920,484,103,646,286,357,216,832,540,962,596,
445,472,626,315,310,812,047,014,825,432,272,712,008,497,304,312,832,225,403,
044,541,405,183,392,678,249,460,196,790,443,366,968,909,748,979,736,260,345,
445,235,807,547,305,194,519,950,863,501,641,927,141,523,361,212,448,653,178,
976,236,274,445,776,321,441,902,464,919,549,422,144,007,330,682,550,251,530,
897,795,331,217,670,716,853,164,540,845,263,001,537,418,101,313,798,865,388,
009,806,696,499,957,742,756,539,705,050,516,993,341,814,160,258,239,861,472,
927,842,892,097,413,313,035,931,922,311,726,471,189,061,844,066,400,421,648,
768,478,790,169,341,682,620,346,797,687,140,541,974,634,037,962,857,129,244,
557,343,745,768,931,280,301,173,696,544,904,754,066,371,972,573,469,902,357,
744,510,806,419,230,320,845,274,621,745,272,481,109,388,402,702,475,501,441,
700,538,821,246,089,068,722,540,184,326,767,649,904,356,807,069,422,727,000,
515,358,738,360,342,194,903,353,107,489,928,750,695,763,662,025,451,248,042,
247,017,974,063,293,023,749,439,696,330,085,115,984,201,567,871,327,131,158,
824,473,114,256,601,393,838,876,717,579,183,346,456,577,705,982,165,516,930,
884,492,777,250,202,347,046,851,283,913,021,284,711,203,460,309,156,075,248,
806,620,624,830,676,093,417,967,355,820,269,839,589,309,076,056,004,646,616,
870,710,137,914,531,263,643,402,591,710,378,740,908,803,001,689,996,826,793,
616,175,666,847,711,233,927,705,506,555,535,839,102,101,811,601,341,742,693,
052,231,531,707,491,377,141,052,705,786,476,264,060,898,463,684,454,042,629,
966,716,191,790,143,160,163,326,762,399,262,335,016,266,390,967,278,648,532,
656,513,551,712,153,891,079,719,868,592,595,966,317,874,762,986,016,983,121,
069,473,178,414,090,553,274,945,826,551,360,164,094,348,409,117,821,608,444,
406,120,124,778,951,535,720,493,424,239,033,410,637,979,149,026,512,714,331,
365,816,123,779,908,875,218,653,555,339,215,100,382,890,399,081,905,419,187,
969,226,988,436,272,657,413,522,807,117,084,552,716,375,163,128,910,605,386,
006,418,538,057,899,989,725,793,358,521,065,766,939,458,996,528,998,120,074,
728,176,748,382,708,162,109,266,420,101,798,560,675,448,971,007,232,850,540,
942,204,956,155,604,657,414,639,942,499,874,670,923,963,861,684,513,276,360,
795,465,384,043,463,747,002,284,824,578,008,568,808,237,307,549,541,173,288,
046,213,614,557,752,326,857,977,280,228,546,036,367,826,138,286,942,213,712,
845,101,140,956,774,534,405,683,350,061,300,083,845,898,745,867,065,237,112,
383,914,552,233,730,068,266,238,198,648,157,053,189,068,809,077,742,120,077,
212,697,673,861,113,607,043,101,304,070,665,562,426,354,393,472,523,986,428,
669,320,646,855,034,874,412,523,688,201,697,324,158,602,228,265,443,119,854,
565,264,194,216,769,949,260,011,297,279,421,670,094,066,852,385,079,373,546,
104,261,560,935,507,958,164,364,548,111,788,787,116,148,172,302,664,685,763,
538,686,020,339,451,861,195,746,313,027,849,097,841,218,209,242,982,702,836,
626,232,041,445,764,399,768,145,958,789,838,896,937,042,593,964,772,652,171,
953,105,872,280,409,485,819,878,858,910,611,131,822,259,052,302,984,095,042,
939,078,144,694,686,087,657,961,237,015,967,820,701,735,470,796,636,555,721,
106,542,106,011,176,790,751,854,758,029,433,288,563,849,929,785,097,608,393,
182,022,762,442,748,964,815,225,646,651,364,177,585,404,437,630,472,701,148,
570,962,657,186,788,438,683,590,502,984,482,168,585,597,403,329,834,893,461,
882,214,436,429,148,385,947,913,910,124,885,503,217,819,256,080,466,272,441,
890,667,832,434,834,004,663,765,569,747,209,616,643,127,091,337,707,336,280,
678,681,365,617,763,294,770,500,006,674,323,448,653,000,837,199,777,019,914,
406,746,948,977,625,614,010,633,011,774,686,960,391,063,542,110,452,633,338,
975,274,965,346,418,098,928,854,692,627,668,482,652,391,962,363,180,087,850,
761,847,560,809,137,642,762,579,011,767,562,560,612,727,802,224,280,592,563,
337,896,494,810,752,476,365,238,389,983,734,514,781,311,269,717,189,742,187,
519,815,866,626,418,734,008,797,665,598,397,743,676,032,908,348,083,328,638,
097,870,283,231,252,335,240,338,674,621,750,564,253,598,975,461,075,930,819,
751,765,387,107,917,380,113,652,733,318,798,795,136,887,236,664,932,323,184,
312,141,838,663,045,580,290,528,347,263,342,481,287,474,154,167,545,369,359,
469,690,960,720,677,684,384,050,046,837,968,154,048,616,394,395,132,491,168,
618,441,958,660,675,181,931,863,122,661,460,199,706,012,729,360,188,334,143,
568,452,603,307,360,650,217,221,370,403,185,772,989,365,067,802,244,186,177,
449,214,449,688,872,365,993,560,074,009,722,944,633,998,429,869,945,607,798,
054,522,518,168,529,864,119,153,281,988,743,811,819,502,791,313,060,982,175,
399,575,012,063,791,685,717,442,794,913,614,632,332,017,078,506,429,325,739,
279,356,799,970,002,202,724,751,913,693,562,166,661,935,257,311,320,925,289,
204,701,818,371,941,530,960,807,329,060,621,130,829,483,698,783,822,095,251,
156,128,766,729,984,621,160,125,901,484,281,630,228,119,153,368,056,400,647,
691,763,194,686,929,466,513,104,494,069,639,662,747,342,688,454,113,076,781,
695,830,119,000,124,236,518,505,539,680,473,417,764,959,753,650,261,567,910,
485,551,562,939,161,752,460,215,608,987,232,185,403,065,719,523,573,876,166,
464,795,710,990,711,541,882,229,920,367,148,811,947,695,640,564,862,759,323,
937,395,248,250,475,678,996,923,780,052,467,810,104,170,262,288,528,729,851,
625,573,979,416,996,977,279,318,752,858,193,189,945,577,725,177,466,260,500,
687,497,948,348,149,791,567,412,654,404,437,510,600,591,846,576,876,615,090,
255,110,389,993,612,046,684,919,894,911,387,846,810,801,261,515,231,609,686,
870,289,081,005,095,487,282,665,533,236,163,787,309,234,583,894,224,729,845,
951,848,761,062,336,277,490,557,857,097,084,252,207,284,890,795,625,076,199,
402,830,252,825,772,226,909,223,808,792,942,239,273,635,331,303,583,852,612,
526,517,824,134,000,043,864,890,315,272,504,145,748,414,114,587,555,042,587,
594,853,323,682,361,049,577,959,087,884,297,240,950,572,737,824,787,260,649,
451,979,049,442,580,366,603,293,334,079,653,595,922,256,234,234,292,153,899,
407,462,755,929,858,699,934,011,284,491,406,412,589,418,807,621,874,472,615,
671,355,767,926,544,042,104,442,833,039,683,713,780,306,175,951,969,430,291,
215,255,346,112,976,070,855,001,906,188,367,514,189,554,123,902,761,166,483,
694,933,855,610,971,222,315,650,878,144,221,232,007,803,486,394,999,457,806,
623,499,748,365,694,016,009,569,327,723,889,721,599,610,312,425,092,636,344,
624,333,818,633,419,630,166,904,667,571,022,536,749,149,943,088,693,801,365,
406,562,329,373,164,595,140,179,082,530,360,861,988,067,363,432,533,721,719,
922,314,629,429,031,761,616,029,649,325,430,449,741,773,636,349,244,245,185,
343,676,819,744,763,960,100,471,820,907,594,527,221,303,245,876,483,714,722,
180,848,031,659,361,875,637,497,435,979,965,440,486,798,057,812,668,600,905,
052,791,861,851,013,048,670,652,931,833,415,159,385,651,120,498,395,139,559,
743,715,192,933,461,078,684,483,524,527,169,112,995,752,874,414,378,014,523,
076,615,952,657,633,881,927,327,991,430,639,858,626,057,657,844,044,567,430,
507,078,523,350,060,268,590,563,981,615,290,641,759,141,032,180,510,986,736,
727,257,649,488,541,274,187,779,326,489,591,239,159,848,847,311,005,043,465,
931,412,706,914,957,441,290,189,458,089,612,954,907,674,822,106,569,807,530,
547,534,508,811,575,885,831,544,723,960,281,042,720,396,526,133,056,779,009,
707,738,195,485,132,130,893,206,928,426,594,379,728,422,084,024,196,671,268,
138,736,083,234,546,946,633,855,871,119,503,613,350,267,150,174,250,162,814,
722,937,776,419,588,219,579,787,911,261,230,147,144,567,367,509,870,667,846,
458,531,268,840,463,145,764,360,971,546,105,503,625,072,240,676,662,344,739,
861,173,521,523,540,094,180,119,322,702,477,748,944,120,790,465,935,336,438,
763,906,081,001,942,002,314,273,438,850,717,083,693,913,638,694,382,512,642,
631,773,087,372,915,919,182,150,894,382,809,970,136,674,213,161,748,311,673,
401,257,927,527,602,904,651,405,013,167,784,633,187,588,479,005,164,093,277,
649,614,706,018,032,088,103,559,574,869,799,601,195,750,360,962,348,950,128,
443,048,764,377,846,653,439,988,881,864,220,715,853,724,107,644,399,453,604,
764,403,408,498,978,885,944,032,026,385,769,415,257,811,464,205,983,537,806,
077,216,422,424,808,227,608,216,895,888,194,993,552,935,438,457,838,709,703,
836,322,959,388,271,418,606,306,655,758,278,715,470,593,333,983,530,285,709,
839,746,229,712,595,911,473,801,675,159,668,653,821,688,942,141,808,415,468,
408,954,283,068,145,553,325,369,245,117,956,189,989,894,960,606,939,731,079,
349,884,524,314,042,078,412,159,316,290,991,478,599,078,339,404,867,596,757,
485,629,237,510,981,751,434,523,551,071,258,434,630,850,383,214,184,399,939,
460,714,380,281,265,280,820,641,639,912,148,835,116,615,154,628,333,676,444,
417,805,741,024,130,129,709,389,705,064,465,904,576,036,661,696,142,892,276,
593,348,804,186,547,645,317,593,118,104,545,430,418,605,590,254,063,017,665,
292,918,196,346,680,945,898,475,394,309,247,583,761,004,217,984,819,422,660,
748,050,337,400,714,491,862,106,689,543,733,568,423,359,728,370,023,256,253,
141,206,155,879,439,420,861,640,995,733,868,246,622,693,555,203,184,149,779,
013,196,480,668,032,931,618,894,741,226,112,424,345,643,072,737,338,935,976,
361,590,562,177,969,139,301,080,875,728,169,053,618,807,537,978,977,839,246,
531,143,349,822,861,444,745,807,115,781,976,313,333,861,423,378,199,766,163,
608,791,051,375,246,849,806,684,947,309,125,079,226,666,212,138,050,653,957,
470,133,489,611,337,448,445,073,710,600,673,976,907,928,531,085,690,643,489,
034,615,621,215,661,869,276,159,461,911,782,246,903,609,795,547,629,562,068,
726,970,486,338,557,472,021,354,388,261,924,561,472,401,713,619,862,550,644,
588,946,443,611,393,808,344,999,430,763,941,121,258,708,451,060,539,102,492,
971,154,642,130,272,590,075,744,731,132,337,618,392,646,060,007,087,910,898,
252,737,812,162,047,933,652,142,630,348,089,517,170,594,966,489,786,128,591,
446,792,446,667,652,161,414,465,424,248,235,050,429,727,592,067,326,416,594,
974,925,765,867,183,984,991,948,834,831,532,203,350,145,583,490,771,953,480,
192,755,211,376,245,712,563,774,597,791,586,431,853,769,631,642,849,717,308,
434,295,875,182,342,034,798,192,852,723,858,706,934,128,961,746,512,766,162,
952,525,347,333,409,832,577,758,375,202,936,797,539,542,113,419,530,518,210,
939,917,611,470,974,679,935,718,400,878,146,973,050,927,799,474,608,306,727,
082,003,575,012,139,736,424,803,858,854,348,875,146,834,140,662,519,059,108,
712,448,189,339,348,935,638,217,000,743,936,511,214,696,364,487,721,211,456,
521,419,896,856,573,608,677,534,582,113,776,646,132,946,227,686,611,067,257,
638,529,075,969,789,218,310,699,382,325,001,680,715,264,188,340,829,168,971,
182,288,468,562,842,628,941,141,274,342,107,307,148,616,092,863,535,572,462,
976,620,178,892,189,485,146,025,785,262,789,988,603,378,131,038,182,973,625,
621,633,385,470,194,549,911,359,484,318,200,165,935,871,422,731,315,355,675,
776,331,017,213,689,251,009,394,765,382,013,586,032,660,342,095,877,761,237,
210,992,846,854,448,871,638,440,518,458,496,684,625,270,281,144,059,484,076,
343,902,720,473,203,784,383,795,536,356,086,940,803,402,781,678,412,659,911,
370,432,990,038,220,917,024,949,611,098,712,763,826,434,256,171,467,404,483,
716,577,522,416,692,199,905,506,825,978,803,891,785,359,813,104,961,157,271,
496,393,060,113,699,306,426,240,855,657,912,936,824,838,401,596,730,807,786,
417,917,981,238,277,392,363,862,796,932,093,428,355,639,092,158,925,216,820,
366,665,985,730,301,280,063,250,611,407,297,620,851,594,847,908,548,331,239,
515,963,706,536,241,807,366,250,789,777,859,692,939,824,879,934,229,534,587,
576,433,254,723,710,411,529,133,374,547,568,011,492,001,579,812,226,153,760,
950,491,253,833,961,774,896,922,737,163,611,808,826,543,711,533,989,860,750,
417,180,071,498,448,753,210,682,512,514,344,451,559,345,385,410,424,058,805,
345,008,584,206,943,383,152,406,971,171,005,016,835,546,100,917,633,201,528,
213,222,088,254,070,755,612,767,362,851,942,547,167,691,003,936,668,775,534,
230,138,845,380,393,901,681,447,301,449,353,222,315,987,362,406,755,790,296,
484,337,620,938,819,202,574,997,937,584,745,108,438,372,708,612,883,119,125,
703,353,853,729,827,890,656,855,200,784,511,271,409,910,818,617,034,759,354,
461,466,940,179,900,013,831,237,896,840,070,371,477,296,704,247,002,404,428,
593,523,699,954,847,527,894,615,205,944,697,893,316,430,685,925,601,121,017,
960,714,174,184,742,082,433,034,670,726,328,511,623,784,575,147,772,251,625,
303,679,832,433,317,845,754,007,562,970,703,695,437,484,590,180,227,883,189,
986,624,736,890,649,533,830,508,345,930,666,861,625,983,870,772,463,341,084,
221,182,404,568,973,011,918,008,210,524,767,486,176,302,967,518,143,145,738,
699,480,953,230,588,821,661,077,951,887,742,137,434,508,531,441,501,117,835,
559,346,964,536,819,267,392,282,525,750,822,234,981,437,048,964,014,415,502,
942,482,147,591,180,882,691,153,140,086,272,547,257,125,446,294,933,673,897,
780,445,917,164,494,470,223,132,838,774,938,197,806,772,538,145,603,791,503,
200,528,069,831,580,551,120,263,487,234,169,001,466,095,521,227,897,090,449,
433,232,577,921,288,748,741,165,322,168,692,859,365,320,535,898,948,806,058,
392,413,606,777,372,891,622,486,978,472,410,311,805,604,206,373,566,512,106,
928,625,230,785,581,759,138,466,576,573,713,999,579,932,891,893,791,016,168,
702,005,887,580,993,828,500,261,473,626,087,391,576,507,810,774,948,592,614,
858,273,642,689,440,114,156,388,617,322,189,596,468,877,008,834,216,295,025,
764,585,776,378,629,318,875,774,361,419,967,768,737,551,829,968,096,192,952,
350,184,665,303,343,853,789,761,484,361,198,329,795,371,826,522,406,363,716,
857,177,495,575,703,758,049,481,045,748,681,449,625,490,704,341,152,056,392,
388,062,356,894,089,218,541,979,859,270,983,314,862,888,663,912,371,703,380,
380,287,548,914,306,660,460,992,861,195,889,352,768,542,293,200,627,221,166,
158,442,645,012,737,228,303,363,702,643,135,678,491,025,940,966,454,163,831,
346,453,457,686,419,145,444,577,583,252,018,315,397,132,291,151,729,202,535,
560,915,831,040,344,477,649,200,077,024,513,860,820,736,966,595,741,463,340,
173,882,408,304,065,988,412,712,368,781,799,885,292,272,853,407,279,901,650,
501,150,556,483,213,601,501,089,636,562,321,025,047,582,657,520,785,350,677,
317,850,222,707,973,306,182,095,411,038,780,717,637,007,734,765,963,453,469,
968,030,599,099,435,679,417,664,334,926,575,355,791,397,371,325,746,240,247,
448,605,727,347,371,389,946,469,990,651,669,230,829,626,441,696,866,043,575,
413,879,231,215,106,121,563,415,216,779,768,553,783,835,095,885,440,790,644,
616,580,008,965,077,054,813,315,999,250,103,314,768,068,056,891,893,478,747,
063,111,812,997,888,925,696,170,946,254,179,688,679,148,722,705,504,946,171,
640,818,986,951,403,779,253,962,904,268,105,327,994,950,335,667,181,111,565,
438,114,186,091,300,948,027,088,068,132,117,917,927,223,764,224,216,142,912,
777,877,759,102,599,564,265,156,222,030,898,446,612,494,682,896,568,129,612,
544,043,610,140,506,505,709,047,802,240,968,949,689,810,713,191,878,786,329,
951,362,084,422,216,125,928,433,839,628,076,427,151,814,959,923,958,823,870,
904,608,432,820,812,219,961,296,140,559,113,969,498,435,166,358,275,591,472,
100,939,332,817,568,333,838,892,554,211,022,366,626,690,071,190,385,750,712,
071,755,387,864,259,468,861,843,403,564,336,677,025,260,833,105,877,566,994,
723,303,614,403,645,896,105,509,451,002,507,722,282,946,509,460,001,263,245,
453,637,639,162,606,106,838,569,681,990,972,043,560,561,078,626,397,021,644,
231,626,362,533,255,080,114,772,527,763,598,228,849,435,429,470,181,451,763,
325,127,394,892,468,645,919,527,741,598,101,704,627,617,100,852,290,934,548,
915,980,818,187,296,682,805,702,410,118,946,478,204,658,502,490,858,328,963,
324,145,438,562,254,861,128,470,080,249,286,297,438,268,518,441,200,167,286,
823,349,015,123,811,756,911,975,671,769,460,649,191,543,031,992,226,804,238,
696,368,656,612,466,776,900,182,606,829,964,675,241,344,078,072,075,565,926,
641,161,180,727,198,634,476,459,475,894,779,411,693,234,040,207,021,009,871,
131,253,844,919,644,659,536,713,935,249,109,735,079,333,891,493,263,684,032,
224,081,564,954,779,763,300,874,476,393,080,075,007,147,215,977,708,184,660,
260,582,496,407,793,336,615,266,921,104,759,309,959,579,653,301,636,605,978,
300,484,628,832,463,868,281,491,311,758,122,652,539,757,316,979,757,652,691,
843,094,832,846,622,662,936,238,413,401,978,326,945,739,098,776,725,715,021,
414,095,023,379,748,565,567,347,706,920,705,661,797,439,315,603,690,288,802,
551,451,728,670,656,355,385,391,597,888,841,169,182,846,601,151,580,676,035,
718,436,626,463,856,991,751,944,172,754,684,149,239,731,849,258,037,261,798,
259,396,486,981,093,282,691,598,864,479,144,559,600,694,954,540,566,969,445,
360,059,556,994,326,444,856,278,630,590,145,337,684,845,552,749,205,541,522,
728,783,076,640,155,261,017,301,063,363,203,769,880,619,022,481,466,651,953,
911,561,153,374,688,397,863,957,863,462,496,830,425,054,254,887,598,054,363,
084,750,149,215,710,120,072,407,176,567,782,493,696,073,516,981,674,033,922,
006,288,620,340,104,278,192,776,982,039,647,553,821,706,184,922,996,149,198,
764,791,241,956,453,645,829,447,873,298,533,725,739,024,489,756,078,661,328,
146,528,378,378,644,300,165,266,344,281,559,012,084,628,783,465,345,040,564,
961,335,482,078,414,302,193,102,995,550,967,543,323,007,295,575,518,789,239,
454,950,457,212,930,950,962,787,416,924,695,469,197,168,610,444,662,220,937,
854,188,904,082,028,109,472,597,781,381,947,540,835,677,649,063,108,383,883,
539,026,977,021,784,759,330,005,396,253,637,297,103,200,726,091,236,118,656,
613,977,216,308,455,829,133,934,566,154,501,053,782,632,442,110,590,858,509,
907,568,407,020,013,993,828,013,435,965,070,662,136,727,563,945,436,539,323,
386,800,951,342,531,807,770,316,241,322,349,022,209,041,934,777,517,419,997,
078,633,930,835,243,063,135,234,856,908,552,317,112,616,532,274,794,881,936,
909,245,707,235,189,438,687,632,667,708,029,784,750,977,623,898,574,731,474,
970,464,484,204,460,018,629,904,731,521,527,000,379,040,345,332,758,227,276,
758,814,119,302,722,751,359,027,844,686,527,899,485,395,669,273,480,780,046,
269,089,979,787,818,412,945,749,136,364,115,439,742,874,982,047,128,361,350,
995,340,125,771,996,400,046,191,136,822,507,538,791,209,393,116,335,592,298,
388,715,284,976,142,322,277,113,764,038,804,887,793,031,449,070,949,249,096,
147,930,707,646,332,523,763,483,396,776,599,620,917,080,351,089,916,718,878,
554,081,908,926,950,745,506,745,655,056,198,519,149,491,169,898,338,230,606,
352,948,719,341,968,996,115,685,523,849,984,057,902,468,765,036,405,315,726,
822,137,364,044,044,366,945,554,141,648,072,956,976,839,709,003,689,779,510,
119,313,449,493,798,821,775,816,332,004,742,708,314,725,090,348,516,292,547,
315,388,936,730,075,794,681,789,167,467,292,169,075,709,346,271,213,671,844,
776,819,391,004,755,416,465,103,374,837,120,352,790,477,738,952,035,284,764,
883,234,363,825,975,545,179,452,343,179,556,891,170,033,953,851,165,481,094,
513,500,286,892,232,103,379,008,307,732,501,645,455,310,576,032,401,310,446,
168,769,372,551,229,099,924,058,282,370,625,024,963,624,531,374,650,453,548,
663,044,946,408,224,425,573,364,579,034,070,371,629,549,364,028,019,623,114,
037,839,387,005,540,753,215,333,519,315,146,352,647,616,599,137,226,358,231,
585,705,155,424,322,656,745,158,377,783,447,263,173,437,301,850,868,867,333,
964,797,869,110,663,160,574,895,812,430,808,413,065,917,541,247,392,270,346,
037,622,736,374,384,331,276,954,156,742,016,897,108,700,391,410,427,253,321,
391,175,045,573,362,305,531,411,392,007,547,306,896,548,253,177,890,991,867,
870,761,157,651,179,846,575,914,525,370,949,275,765,159,758,678,379,361,501,
166,814,682,673,928,842,409,578,825,764,996,648,527,863,021,254,895,739,350,
669,799,290,482,753,572,957,907,196,380,885,199,643,715,254,179,531,391,357,
394,105,793,913,125,329,270,842,411,872,365,889,016,404,108,705,836,853,266,
471,753,904,525,348,674,076,943,502,929,497,378,522,064,063,604,313,593,661,
408,796,904,235,391,960,331,509,107,709,362,150,839,342,876,487,510,102,153,
079,618,973,060,555,414,644,943,406,572,459,850,542,760,927,495,714,221,492,
766,538,884,719,069,100,011,609,241,126,861,729,952,408,596,578,664,501,985,
546,056,552,707,215,438,297,017,586,578,194,276,991,956,439,394,841,760,999,
682,243,459,682,118,413,897,038,664,194,918,790,967,371,224,412,294,179,906,
642,186,487,771,573,935,808,115,413,572,329,260,772,483,838,556,487,083,113,
829,315,192,926,730,803,451,622,618,912,641,799,546,180,187,904,986,756,893,
936,737,855,095,678,111,212,618,600,230,337,651,750,474,769,156,013,973,098,
392,407,211,880,699,889,334,225,210,877,042,891,400,106,509,710,497,781,082,
142,961,938,991,333,191,450,490,133,099,703,307,725,947,125,743,803,185,606,
615,714,820,789,831,722,137,384,001,254,656,565,667,081,920,941,657,313,110,
160,576,917,712,638,481,367,347,784,951,630,720,262,814,795,852,309,419,538,
528,179,248,936,173,771,571,289,546,667,219,498,238,781,637,998,367,442,798,
426,620,180,423,666,385,124,946,205,211,529,124,718,981,321,196,036,909,834,
739,836,451,289,832,043,665,313,296,857,641,052,542,745,522,880,367,400,883,
501,961,339,740,250,084,010,455,189,394,348,831,538,857,628,515,180,441,910,
484,834,105,273,932,513,134,561,061,658,638,332,585,388,379,164,460,340,580,
626,210,528,699,550,301,712,870,547,792,891,617,859,369,909,230,169,223,848,
383,044,500,588,184,912,273,112,522,380,378,521,192,384,786,214,199,224,021,
483,781,261,225,440,353,393,805,504,541,947,941,803,766,213,400,134,348,817,
342,885,608,870,348,367,831,298,594,204,408,534,586,030,943,339,308,765,014,
755,603,167,582,684,192,453,419,204,601,234,018,440,865,753,428,181,265,741,
695,887,396,198,958,728,300,540,170,510,597,946,163,438,400,177,151,951,629,
792,444,566,158,752,076,127,858,661,251,995,076,572,225,318,804,002,355,146,
858,593,884,160,366,829,813,795,498,342,498,853,478,830,595,594,733,856,261,
613,101,097,230,333,691,205,545,463,605,426,880,308,657,555,585,199,853,624,
418,933,844,546,498,836,036,736,309,038,311,335,668,594,548,255,411,069,742,
520,454,236,760,505,244,869,672,838,827,557,289,197,061,259,731,142,012,411,
885,254,499,169,524,692,002,339,367,068,298,824,317,100,702,081,350,573,413,
360,217,639,754,193,019,654,935,880,973,903,685,737,963,514,174,200,115,189,
343,940,208,726,872,651,180,654,333,118,960,260,786,884,660,271,408,995,443,
709,733,295,094,391,976,524,714,887,253,863,756,443,967,775,015,838,634,669,
974,917,535,341,988,196,349,325,379,902,774,614,529,421,057,221,210,961,220,
050,296,192,439,724,772,841,108,057,640,405,664,741,265,036,036,330,752,090,
696,534,311,475,046,329,630,111,975,714,937,557,850,200,927,504,576,359,081,
750,213,514,502,942,767,707,795,060,808,290,334,629,988,401,829,946,204,137,
275,292,684,215,861,374,007,178,089,778,709,799,268,529,789,665,438,751,024,
487,064,200,775,747,186,561,299,480,815,906,741,874,043,146,846,959,206,543,
780,272,640,166,363,356,165,805,737,459,026,796,399,090,667,819,991,989,295,
522,593,328,544,720,402,512,264,972,156,389,910,880,081,436,933,147,536,141,
837,470,305,818,747,700,090,918,681,871,108,569,498,032,832,621,369,746,961,
687,696,108,731,218,011,236,191,522,587,031,654,255,380,935,675,904,612,855,
497,942,541,620,484,554,887,410,389,863,382,066,512,207,189,317,936,515,817,
592,120,200,502,614,304,332,228,487,065,992,857,519,035,562,765,514,757,912,
194,413,716,532,352,775,937,061,147,631,331,981,766,479,991,054,906,755,744,
527,888,120,470,246,554,690,008,443,175,042,623,713,966,438,400,740,207,000,
230,373,232,011,257,769,068,418,446,592,157,995,026,401,420,305,401,718,354,
495,790,597,976,332,496,623,396,278,581,159,841,953,710,674,008,562,506,649,
600,868,359,448,231,022,047,825,882,454,477,523,373,093,038,940,960,279,841,
149,414,525,049,029,429,642,050,697,969,905,323,651,287,039,898,193,425,261,
169,125,844,400,277,458,798,472,246,115,879,363,613,594,184,616,949,732,751,
784,920,211,897,537,744,103,118,375,577,335,826,026,518,049,518,973,287,858,
684,826,730,900,862,734,408,738,186,119,791,043,671,029,669,613,519,341,896,
280,118,496,164,354,392,998,476,084,434,406,393,322,794,648,068,008,877,661,
906,346,044,070,085,660,145,945,471,975,071,389,130,252,960,236,825,808,706,
484,012,342,433,966,661,303,203,099,426,610,672,003,633,201,781,706,819,025,
294,608,232,759,696,815,914,913,469,467,494,827,375,165,124,779,197,251,196,
274,024,681,381,802,513,745,917,286,436,899,011,582,274,120,070,369,177,452,
826,000,249,627,390,771,183,095,849,255,637,808,331,659,798,932,691,164,318,
123,537,027,572,118,222,361,252,476,601,666,040,959,902,656,611,099,403,380,
034,956,367,894,115,680,027,076,250,400,824,261,979,450,973,025,238,888,454,
356,749,246,769,777,775,042,911,448,118,569,795,662,826,873,843,049,548,086,
085,819,590,382,059,939,202,131,595,474,096,214,800,461,049,760,570,961,512,
336,845,581,221,660,808,104,237,339,123,731,202,290,019,779,478,785,231,073,
142,572,670,494,254,226,577,877,827,834,221,399,760,964,844,047,430,956,967,
238,205,072,028,677,838,307,218,100,002,167,090,433,187,957,895,204,109,604,
241,110,856,589,626,375,793,830,994,743,305,102,054,873,859,376,153,667,846,
048,215,559,531,062,821,720,905,400,841,441,009,331,922,640,059,536,319,166,
391,809,282,895,365,513,853,858,003,179,021,383,568,038,331,724,411,294,779,
493,773,430,875,810,887,920,772,882,200,145,137,836,369,609,147,622,303,937,
153,028,816,029,830,430,706,353,569,784,265,586,371,115,823,923,294,080,138,
573,883,354,320,250,918,202,898,341,900,168,124,730,242,837,655,370,440,390,
306,295,375,019,946,751,583,832,197,210,083,714,209,703,464,317,767,402,903,
165,427,389,349,574,505,258,088,691,090,426,143,201,167,881,564,832,608,450,
348,313,539,093,383,327,128,696,831,978,891,541,527,479,783,430,053,714,594,
435,027,476,341,697,593,522,636,641,759,737,671,125,304,412,001,500,157,428,
832,590,284,003,478,588,283,519,450,384,528,568,913,384,328,871,039,862,783,
825,220,349,766,945,953,624,386,196,725,119,715,718,286,298,144,623,504,412,
333,740,754,958,960,938,814,612,924,387,386,392,795,573,703,115,543,596,221,
781,312,986,834,932,723,234,226,574,289,108,380,134,829,946,112,702,693,945,
885,201,663,031,654,251,543,776,013,262,922,654,032,303,275,213,800,882,477,
609,334,866,533,387,569,133,207,112,846,756,322,329,668,700,510,319,301,164,
781,394,169,076,138,182,686,968,844,238,587,105,016,326,317,117,382,434,193,
111,371,714,795,159,601,510,990,189,325,206,029,056,460,604,164,685,583,117,
044,209,550,426,177,684,998,700,642,105,932,976,068,024,764,684,704,093,607,
171,298,011,854,648,198,357,809,952,844,117,228,357,012,039,590,048,169,960,
764,695,969,385,632,838,624,412,710,498,668,928,578,934,721,950,679,736,936,
614,579,376,603,710,836,199,399,925,400,893,057,352,573,080,630,599,660,896,
336,730,782,149,340,454,778,634,476,339,646,894,185,053,321,191,713,559,084,
153,321,298,612,444,637,399,728,614,039,245,308,763,010,559,217,866,336,227,
842,626,290,237,522,226,905,540,306,422,790,728,641,344,754,449,429,437,100,
372,825,645,292,244,814,522,321,766,882,940,754,367,690,103,108,021,338,645,
543,246,282,337,884,095,272,244,461,156,797,888,450,486,215,589,879,141,978,
320,455,005,571,852,430,319,376,673,393,705,516,044,309,260,574,812,150,448,
508,753,489,117,179,752,671,445,487,093,548,954,193,657,549,644,735,569,827,
489,273,376,456,582,127,623,565,435,540,583,864,609,203,115,852,760,514,737,
398,972,157,550,301,118,894,972,769,427,193,945,842,293,628,084,262,479,132,
284,703,253,002,154,001,357,721,336,019,217,037,089,190,452,664,909,898,131,
712,088,119,144,806,369,386,338,834,190,767,335,432,484,116,260,887,061,211,
606,944,811,885,399,050,544,773,735,931,836,150,248,136,194,320,699,726,752,
703,937,334,623,896,609,231,659,748,675,621,376,691,625,006,126,649,690,462,
794,417,116,608,846,047,807,675,458,146,786,128,310,494,811,367,875,864,197,
700,931,297,888,999,297,702,317,828,464,288,790,616,521,361,296,853,966,792,
603,388,551,595,397,001,927,681,629,761,752,330,485,767,135,073,459,686,413,
715,249,907,095,649,446,270,736,841,767,088,429,278,951,364,564,492,626,301,
284,668,616,283,878,620,693,601,844,721,724,490,565,972,558,582,741,706,267,
993,714,633,110,217,211,985,133,347,965,561,470,133,385,829,333,970,006,165,
341,617,089,671,670,876,900,029,476,152,174,497,282,610,196,142,388,067,469,
502,256,211,422,677,981,265,220,173,225,299,138,335,942,870,176,963,388,967,
396,681,102,709,314,868,239,598,994,780,570,057,442,462,889,653,380,266,389,
315,994,133,550,789,318,869,786,689,294,235,402,305,106,369,526,301,640,338,
832,912,659,282,026,025,743,942,456,265,721,058,243,967,745,698,072,779,172,
951,500,987,282,382,855,284,622,620,343,451,586,360,345,041,105,337,663,395,
577,846,929,912,297,224,072,250,226,968,564,334,967,805,509,497,275,059,328,
904,320,971,338,302,202,165,356,182,107,754,656,868,104,334,874,542,326,012,
957,261,745,670,350,731,156,259,488,711,222,778,774,408,121,026,119,061,988,
930,072,935,006,600,218,267,563,180,036,548,238,063,023,580,288,487,299,285,
490,555,288,125,486,954,533,646,536,549,845,892,409,648,899,492,370,082,958,
124,367,046,338,371,778,685,541,056,304,707,985,175,225,078,404,549,750,627,
005,604,759,652,776,152,374,757,364,019,079,755,966,651,683,917,352,518,874,
587,318,097,461,642,907,521,524,050,081,315,594,164,530,698,012,035,881,618,
069,453,824,406,799,958,824,205,540,531,546,079,133,398,070,550,193,964,524,
305,735,801,723,406,981,503,545,090,081,759,830,184,978,757,437,255,759,117,
908,698,618,344,503,343,016,322,913,628,516,950,314,026,354,410,067,190,823,
311,016,112,895,954,889,363,093,687,983,955,866,521,842,642,047,499,060,706,
739,568,467,676,732,969,643,607,735,072,529,958,849,771,341,326,453,373,164,
825,677,426,931,816,719,224,866,551,293,317,973,104,805,930,363,432,448,737,
005,384,569,238,710,461,495,069,560,056,050,685,774,043,217,747,621,454,736,
567,480,168,087,719,170,518,678,562,944,387,577,076,232,354,791,125,213,863,
517,410,360,639,037,610,049,331,470,887,325,831,819,443,184,111,043,508,210,
971,030,312,034,447,767,792,525,388,034,197,199,691,931,091,493,854,120,379,
166,017,198,383,802,541,334,364,311,828,212,358,981,028,223,621,144,067,856,
853,102,964,456,087,397,739,543,333,698,281,294,013,898,831,333,048,371,976,
902,225,276,728,997,916,206,109,555,581,029,564,938,286,000,242,949,630,237,
636,547,086,102,514,013,974,584,353,171,842,328,807,208,999,012,990,871,036,
739,164,241,649,887,517,812,671,542,136,406,627,596,298,030,475,338,926,837,
744,683,548,676,208,744,861,725,395,189,094,373,923,852,301,093,640,196,640,
023,695,208,651,508,807,476,437,688,331,075,292,385,872,296,307,785,260,710,
371,367,887,941,910,897,736,403,180,117,166,975,315,572,765,161,908,897,695,
858,396,793,608,925,321,662,925,839,749,815,749,374,252,056,483,200,205,676,
380,501,050,643,322,543,869,709,239,817,327,021,098,162,150,203,129,212,215,
683,933,268,672,927,393,888,372,864,967,141,165,703,597,282,758,324,907,455,
379,624,505,668,552,632,796,062,204,602,712,618,750,260,316,289,420,112,805,
986,796,923,005,650,140,353,645,508,323,188,031,743,790,322,036,895,088,110,
203,685,424,333,008,121,623,291,900,669,413,878,057,569,615,579,887,507,010,
859,663,492,415,327,967,984,940,910,293,918,029,501,638,558,827,009,454,289,
135,184,268,203,793,785,762,440,303,571,345,453,873,946,491,554,370,169,694,
827,105,318,112,554,741,192,337,301,264,624,257,195,677,496,212,694,665,416,
038,134,544,589,384,647,036,378,188,607,329,702,690,680,726,768,570,153,775,
198,085,447,846,950,385,961,244,672,036,107,198,706,961,431,703,937,651,606,
435,658,949,259,522,959,147,399,204,494,561,841,057,680,218,585,405,650,192,
305,584,015,192,297,640,314,885,545,851,445,762,538,976,251,694,233,132,034,
603,040,126,177,339,942,682,985,599,458,443,276,483,412,004,970,091,818,844,
063,783,960,684,292,400,394,744,444,447,706,799,570,133,596,672,000,757,534,
277,797,983,466,881,989,268,483,759,457,647,627,029,857,578,344,915,741,382,
040,471,210,023,342,937,422,889,171,467,276,623,646,790,851,473,836,141,910,
712,793,424,604,988,383,563,367,263,114,874,364,112,058,183,653,388,886,907,
354,876,508,604,028,007,443,268,196,394,240,714,682,928,345,035,667,857,500,
625,281,100,239,569,796,702,777,137,556,167,295,468,754,467,124,190,752,689,
556,865,058,007,850,865,181,249,403,851,148,592,018,052,986,591,980,414,139,
099,646,611,420,501,104,827,478,585,778,430,136,452,674,435,650,150,581,725,
273,400,941,252,331,526,168,892,593,782,719,400,856,554,961,032,074,186,927,
277,202,769,785,362,569,646,136,162,204,356,072,623,778,960,821,350,281,703,
893,721,308,713,350,695,888,229,570,207,344,390,725,255,451,648,507,026,322,
557,499,255,854,002,883,803,533,884,568,027,828,870,900,818,770,716,750,255,
646,690,784,753,268,071,092,368,742,410,810,770,758,864,228,157,503,857,662,
147,496,734,813,687,145,291,330,307,967,743,158,672,424,086,896,867,333,146,
201,525,355,331,679,716,508,057,578,353,897,747,357,865,172,509,668,175,032,
181,724,548,755,161,230,601,933,696,892,275,421,971,746,509,816,182,456,425,
514,406,228,279,927,664,690,919,133,158,011,002,959,514,859,357,720,839,226,
386,162,527,191,815,817,482,602,677,355,385,458,311,731,983,934,438,296,965,
908,788,353,083,117,678,183,534,836,626,383,780,224,528,578,002,953,284,824,
929,496,562,293,838,651,564,334,442,534,804,805,196,243,608,959,837,634,202,
076,979,865,188,558,735,282,640,609,547,101,763,937,320,497,653,276,731,025,
754,707,036,661,180,675,251,438,229,679,724,158,062,522,775,182,048,611,525,
451,350,365,916,261,823,290,090,637,567,674,277,651,995,708,157,740,117,588,
682,124,834,547,933,032,779,504,392,563,506,952,919,417,512,543,520,498,325,
280,278,696,882,738,930,710,988,909,798,246,843,962,747,252,298,767,493,775,
058,851,126,785,907,729,582,786,119,217,830,546,164,057,144,521,406,168,194,
139,661,297,622,309,246,844,054,208,924,664,953,347,385,017,980,724,623,288,
474,967,136,768,855,327,223,601,852,846,545,537,651,752,920,512,897,553,090,
279,230,282,644,484,665,497,406,880,770,397,358,108,657,303,971,066,282,843,
988,508,610,939,414,452,442,511,933,235,046,187,060,567,491,287,924,225,507,
332,471,778,943,933,642,730,647,417,458,883,818,019,300,238,389,554,119,563,
610,057,738,414,177,026,471,885,416,921,804,309,897,124,579,693,646,554,919,
463,405,236,890,376,484,478,497,370,375,380,322,924,301,102,381,186,883,147,
479,481,275,363,427,579,541,397,366,826,384,332,240,315,228,995,629,799,181,
520,906,715,614,858,308,362,860,419,277,052,154,297,275,262,438,167,700,028,
620,363,618,944,896,447,701,959,039,139,213,345,172,398,306,493,046,033,565,
277,959,683,574,791,679,540,654,773,209,262,722,086,499,011,038,937,938,826,
394,215,459,563,476,387,157,211,320,235,009,952,956,507,291,705,859,019,472,
392,423,926,139,730,335,775,130,809,063,246,119,110,636,165,329,777,067,469,
772,729,379,846,013,512,135,939,030,359,832,154,373,482,239,635,732,386,708,
687,056,107,857,866,367,186,933,770,774,753,380,343,576,357,276,689,114,040,
178,919,476,980,725,640,787,197,281,720,615,215,849,448,117,637,543,549,436,
436,049,326,618,471,832,959,671,271,819,590,996,641,913,830,079,806,730,128,
732,888,915,898,925,018,772,873,085,824,780,158,774,713,667,575,552,458,844,
348,696,304,127,224,055,096,222,188,224,380,502,459,129,035,964,211,996,112,
154,928,137,759,637,278,355,921,126,987,392,298,584,088,559,248,304,412,117,
641,259,805,947,017,404,514,191,868,780,889,355,383,286,498,569,115,538,416,
562,364,001,506,512,236,978,779,710,693,725,695,758,947,777,765,373,951,000,
412,082,001,576,957,681,906,421,150,658,977,853,631,273,362,836,269,557,113,
264,505,186,921,104,585,926,929,512,149,139,280,741,019,861,501,145,485,649,
550,840,910,212,958,621,432,736,850,880,592,942,373,391,972,532,224,383,510,
140,370,906,088,354,479,218,905,140,120,755,212,122,411,932,375,655,506,563,
314,756,905,448,252,338,581,448,721,617,188,027,705,155,438,393,443,533,889,
079,196,064,483,975,793,955,704,035,892,043,450,531,284,322,616,269,773,309,
722,388,108,525,574,343,749,824,677,100,282,725,892,638,267,259,668,289,580,
595,097,206,973,039,240,925,637,758,471,158,784,315,439,497,957,222,488,809,
491,747,395,164,814,150,849,855,835,731,165,085,989,196,364,469,863,697,550,
323,937,710,318,364,432,997,508,831,877,191,911,169,674,052,100,085,556,545,
306,057,687,601,050,846,254,485,450,509,704,501,101,572,404,966,281,547,169,
655,720,684,789,249,261,917,610,800,067,650,488,008,042,242,540,214,688,854,
886,517,217,738,480,274,469,091,479,129,007,382,578,907,637,278,342,002,844,
970,750,338,981,651,499,686,845,739,461,894,797,244,183,560,413,449,153,159,
746,561,837,266,943,943,780,879,655,333,007,575,620,426,706,647,569,183,856,
066,717,113,880,856,958,582,480,504,326,878,104,294,072,683,301,883,918,801,
616,144,694,394,993,418,061,294,035,311,426,672,772,849,776,935,637,708,059,
019,766,613,825,348,331,281,878,211,993,648,842,291,590,065,481,350,274,586,
747,283,914,511,365,522,795,411,977,794,439,418,117,869,481,165,433,645,435,
501,951,597,733,259,965,611,868,935,125,728,815,244,999,125,602,691,980,466,
796,802,742,305,936,860,279,602,656,692,150,875,901,513,126,917,279,542,239,
444,492,478,432,578,849,787,363,635,119,553,616,228,011,914,460,970,292,981,
776,132,589,156,306,035,334,500,053,703,268,545,356,232,180,726,596,527,295,
119,990,529,351,152,372,948,024,109,431,467,292,688,914,052,097,593,587,265,
281,717,008,868,993,544,920,911,344,240,068,002,025,204,110,630,520,531,557,
931,404,152,400,162,587,917,543,354,334,529,590,920,430,320,648,515,698,170,
665,452,906,583,077,502,909,702,444,995,724,027,648,945,715,367,868,994,604,
854,854,990,312,381,345,343,624,489,629,729,785,884,057,025,519,670,478,759,
221,349,201,805,027,286,848,479,786,468,356,922,667,406,974,172,334,698,823,
242,914,736,760,221,253,594,845,576,805,422,367,464,021,371,076,831,879,421,
785,725,847,047,949,492,532,681,593,417,386,439,109,771,985,313,322,067,436,
095,235,719,078,859,838,526,821,794,915,103,676,012,185,442,820,150,400,735,
800,932,907,957,624,470,770,062,969,646,886,243,029,615,538,198,867,612,993,
853,757,234,125,147,390,946,516,847,796,322,926,517,644,193,986,015,528,500,
626,736,418,297,646,701,316,081,617,690,750,760,501,309,304,804,823,080,679,
143,536,719,960,980,004,179,812,250,073,204,893,563,588,246,393,672,306,773,
202,412,417,643,782,990,830,398,947,495,135,780,526,416,103,088,997,079,315,
076,984,239,209,996,562,176,802,213,979,803,243,112,389,132,686,609,712,508,
417,019,064,062,902,653,790,935,529,688,468,464,349,837,719,026,323,191,488,
920,393,056,955,610,235,598,936,606,011,372,136,590,601,910,203,741,712,630,
326,125,131,192,415,805,038,863,150,237,852,088,327,593,579,388,065,269,745,
636,823,719,542,572,069,135,163,737,366,448,021,619,937,347,307,532,726,062,
384,160,345,804,915,122,626,269,142,426,061,025,856,787,266,059,471,651,224,
772,719,189,830,018,379,609,240,920,854,535,906,097,535,613,652,692,347,911,
279,017,242,615,251,860,734,012,152,432,024,215,293,097,731,351,803,565,861,
108,808,594,508,613,846,845,168,885,552,633,065,918,138,889,313,989,749,010,
436,980,585,641,922,338,015,109,166,176,923,746,006,312,312,512,866,429,896,
754,434,175,168,264,387,131,092,778,870,765,145,213,942,127,579,625,753,788,
565,283,041,025,860,480,618,511,708,584,932,148,114,204,671,666,428,640,993,
142,123,375,471,143,542,762,227,320,440,505,814,021,206,274,921,634,186,057,
770,360,662,918,768,260,873,441,270,001,450,959,897,961,850,767,407,003,061,
218,234,400,275,983,524,312,203,614,924,418,867,144,348,053,715,277,972,327,
859,087,703,797,828,459,084,199,544,101,785,241,746,916,039,740,110,075,932,
550,073,597,957,993,490,386,306,732,640,283,533,373,340,188,149,779,337,593,
540,685,868,913,054,725,340,515,807,192,826,361,597,834,643,462,022,219,339,
953,409,369,408,475,043,612,383,839,924,687,117,019,012,376,936,192,434,166,
376,883,502,336,086,576,704,152,656,922,735,392,229,332,103,566,814,899,465,
544,638,714,420,719,849,988,498,825,930,925,242,013,484,306,111,962,495,714,
767,665,349,024,750,409,398,236,814,842,883,280,865,621,488,044,479,030,363,
857,426,433,703,324,150,119,722,518,487,716,581,845,833,400,930,596,570,587,
634,479,199,461,696,963,994,481,439,421,059,316,599,269,309,623,276,336,022,
866,892,420,238,084,090,578,493,519,249,619,046,071,706,287,914,727,486,142,
956,558,297,150,851,532,541,912,656,581,585,096,942,593,387,322,773,223,942,
689,663,861,856,316,701,592,924,032,423,133,841,839,064,715,647,017,567,217,
999,478,977,349,959,396,415,040,553,485,586,816,870,044,032,966,884,382,517,
738,368,664,384,565,132,845,719,162,823,883,708,003,036,687,087,294,948,906,
716,777,192,789,220,451,890,592,897,898,323,821,670,986,406,636,933,912,472,
535,834,586,120,547,923,419,223,800,235,409,067,317,655,886,265,510,689,672,
458,472,372,578,943,948,264,135,048,710,721,833,035,771,608,436,690,254,376,
611,520,290,320,342,759,588,792,945,429,489,700,594,527,223,839,120,768,387,
534,456,418,465,569,459,482,338,123,516,168,786,750,184,464,955,307,778,307,
750,804,458,281,729,899,815,893,712,037,894,125,670,993,627,687,110,441,757,
915,589,926,119,495,077,523,216,863,599,463,302,004,707,939,798,956,344,685,
365,178,042,686,796,906,906,494,421,119,415,754,626,227,454,369,309,135,913,
825,601,241,953,919,594,852,173,333,729,386,129,774,701,481,215,551,286,622,
009,092,720,520,679,391,411,808,438,735,867,588,247,983,708,586,833,867,547,
260,180,394,579,726,548,902,471,743,409,465,050,874,851,487,248,467,790,128,
355,888,319,294,311,856,313,260,521,706,578,308,174,360,335,568,529,507,456,
414,484,046,925,738,063,209,242,069,173,845,624,212,604,118,024,864,230,908,
269,486,955,300,440,168,442,456,231,495,475,136,329,988,533,694,497,027,113,
544,459,462,931,950,189,802,608,974,860,644,766,406,150,280,272,868,167,407,
691,918,558,107,717,208,710,055,957,119,939,279,892,887,742,632,392,693,424,
529,355,285,013,365,297,398,411,482,450,308,577,893,010,766,731,299,702,842,
038,550,918,610,497,149,393,339,711,713,016,443,291,931,357,752,926,770,945,
445,499,474,529,896,853,152,146,434,014,534,895,632,039,932,487,944,608,362,
483,395,438,628,602,560,845,914,581,480,109,595,402,538,050,177,799,905,310,
966,821,889,249,711,008,584,304,352,169,449,123,302,253,365,054,184,748,676,
654,662,601,468,636,446,414,408,816,437,451,804,024,414,873,732,413,522,836,
441,212,700,638,446,950,741,619,802,875,126,281,849,574,473,191,066,434,206,
709,215,295,671,395,821,180,445,420,229,731,832,659,318,243,356,858,303,850,
098,243,907,773,163,440,659,918,509,362,481,458,244,839,902,327,490,614,174,
830,044,607,711,687,076,723,051,317,854,844,205,884,250,305,222,121,200,694,
581,822,981,902,640,894,976,976,691,925,325,884,230,329,008,161,139,027,478,
072,253,355,893,230,692,451,734,638,581,503,916,437,956,294,288,603,536,173,
745,574,007,624,466,355,505,740,993,543,714,700,871,636,600,282,827,507,518,
909,079,544,305,109,279,072,388,693,431,338,868,051,970,397,558,964,968,533,
270,351,110,561,479,406,766,628,861,441,365,854,113,979,995,634,113,410,267,
688,779,497,677,056,373,778,764,755,645,744,020,317,863,209,491,857,598,861,
628,654,226,132,036,179,787,991,904,233,053,183,713,545,247,076,334,537,810,
118,865,807,391,762,839,898,146,341,599,849,433,662,993,554,526,258,403,416,
336,193,910,658,249,427,851,560,641,534,360,771,413,664,154,071,890,258,054,
679,337,588,638,974,541,647,124,274,892,113,653,460,869,449,754,757,784,491,
921,836,511,069,137,699,094,261,613,982,127,803,516,597,704,353,774,157,022,
224,168,670,861,571,190,350,220,966,185,205,348,411,804,314,997,615,509,243,
773,175,534,506,558,104,969,993,678,524,744,357,577,933,727,292,213,920,196,
534,885,937,528,900,886,489,003,108,770,983,588,689,341,423,188,648,815,499,
215,695,621,134,181,387,911,997,496,656,862,541,743,073,850,030,899,638,260,
440,105,668,387,887,114,383,542,611,129,813,246,132,844,114,397,974,114,472,
716,837,994,605,487,082,905,477,493,099,750,689,420,715,982,051,925,833,852,
170,522,908,641,873,503,033,009,655,710,036,198,136,780,650,573,204,028,758,
998,773,118,731,932,538,454,606,591,460,909,966,168,785,471,069,418,124,816,
633,843,672,552,669,089,363,909,469,038,614,761,556,724,441,073,947,433,523,
432,576,889,744,072,976,006,948,217,579,434,076,949,860,407,113,033,700,921,
102,481,496,750,066,770,775,329,556,164,446,768,262,019,070,503,557,859,511,
283,296,909,378,789,949,336,495,285,346,341,277,605,383,209,064,170,960,586,
242,564,483,736,107,457,674,993,835,251,089,414,660,908,910,138,331,132,094,
704,401,177,222,727,463,727,579,148,135,536,473,303,384,587,604,256,337,038,
040,621,649,853,236,114,469,379,628,004,411,985,012,493,334,224,871,321,462,
532,892,923,614,200,307,451,575,597,911,726,225,373,307,315,833,502,244,590,
712,775,298,401,354,849,562,555,546,937,451,336,303,011,382,203,008,050,650,
228,375,840,414,372,120,604,239,451,454,088,648,760,538,966,935,130,467,300,
461,189,480,544,610,349,184,521,566,591,558,590,306,757,686,827,307,882,654,
218,887,126,400,914,199,772,863,358,452,335,144,418,556,075,986,329,660,586,
178,829,046,221,721,064,415,405,808,073,484,701,693,902,957,760,895,469,917,
831,051,178,680,710,553,797,779,506,459,411,754,902,577,357,389,578,929,310,
140,061,850,601,633,445,635,103,364,974,275,764,171,198,127,757,861,614,735,
676,972,907,971,140,764,259,479,055,578,189,625,248,592,193,243,058,000,725,
788,338,577,288,883,446,121,493,455,763,777,064,359,876,886,998,769,458,884,
245,011,853,768,888,287,665,618,667,419,221,586,409,110,647,625,311,987,582,
420,964,961,416,495,820,062,267,862,890,456,057,532,554,462,429,229,661,278,
792,661,421,900,363,013,387,320,617,325,899,878,620,105,557,284,281,584,512,
602,403,037,234,927,113,597,522,595,815,789,258,414,391,979,217,256,952,785,
243,912,500,125,970,698,876,669,938,891,103,545,800,348,114,613,369,142,315,
564,120,011,865,602,896,194,486,533,082,937,795,689,275,272,014,361,149,046,
196,732,741,975,060,498,283,301,833,121,386,441,176,014,000,431,184,672,253,
448,778,551,789,059,199,783,409,271,718,633,390,668,059,436,760,705,066,869,
768,850,496,665,432,390,185,320,119,172,867,527,906,702,172,001,414,995,528,
103,582,305,414,601,302,961,757,007,124,486,353,392,890,514,593,323,442,164,
049,973,074,971,216,527,054,009,905,765,018,199,467,484,165,095,491,464,925,
546,537,408,792,520,582,031,346,385,693,454,868,671,117,475,793,503,141,232,
864,282,999,401,281,803,788,818,344,310,914,692,528,832,541,338,586,966,845,
977,832,597,162,775,197,556,448,330,567,191,262,546,244,732,207,643,264,754,
591,717,848,048,303,566,631,013,279,937,436,351,210,437,031,273,326,893,841,
244,854,507,478,856,780,717,219,130,545,812,972,354,830,310,119,154,515,652,
458,549,173,631,855,719,174,327,074,542,662,261,553,997,253,369,236,823,914,
488,383,418,002,431,400,222,934,992,726,310,322,854,330,800,124,057,032,104,
708,379,815,069,505,050,188,683,191,813,347,958,077,471,851,912,505,267,821,
747,474,081,806,727,996,875,008,485,117,209,276,025,142,387,580,042,879,911,
701,484,566,124,163,275,452,187,116,015,378,140,644,846,035,517,007,158,372,
283,148,514,202,783,008,052,372,503,269,882,618,772,851,889,073,774,276,008,
317,006,248,265,206,193,380,361,822,843,025,402,863,724,695,942,990,802,023,
075,864,689,692,353,436,617,794,056,825,987,775,902,911,799,709,603,076,279,
669,497,865,600,401,328,594,542,245,767,886,210,941,151,955,627,597,483,797,
883,858,224,666,336,694,049,675,931,278,077,589,866,380,695,436,540,047,874,
372,647,388,789,953,386,588,750,237,966,915,154,813,084,252,176,504,786,653,
924,736,302,946,691,929,683,958,523,606,247,698,442,668,192,771,765,901,066,
951,653,555,704,631,193,691,783,668,594,462,952,715,774,662,068,056,004,802,
852,177,734,106,757,506,497,531,544,144,348,162,245,716,789,054,061,074,583,
738,097,692,893,863,443,212,576,225,612,262,811,282,734,852,529,784,822,462,
698,940,161,105,565,284,078,081,565,776,048,437,311,134,491,590,061,279,108,
183,408,857,992,615,122,293,522,591,025,155,494,221,691,788,646,549,960,360,
026,491,638,802,889,244,775,143,039,354,601,231,688,343,160,557,042,655,998,
488,503,189,802,988,571,440,010,043,257,283,134,784,137,524,490,428,402,295,
868,707,498,190,828,164,928,739,415,934,836,792,726,918,574,978,471,159,458,
257,930,329,533,585,782,913,470,598,469,917,369,947,579,558,950,395,640,157,
799,092,520,179,595,232,294,221,977,275,903,558,104,109,596,305,027,097,386,
124,984,557,552,194,241,173,893,876,914,400,241,190,942,793,647,984,980,739,
996,856,477,792,603,040,456,961,533,924,192,188,490,053,139,198,611,679,951,
888,951,131,937,518,679,045,286,715,203,555,936,044,647,156,165,058,136,101,
097,221,543,395,826,622,841,289,004,672,929,343,643,094,947,644,869,270,384,
280,804,268,356,098,734,936,536,534,837,549,262,302,453,761,914,681,576,889,
000,638,208,876,593,495,039,939,198,233,838,291,988,423,214,017,732,243,667,
103,542,823,076,115,333,480,209,051,928,704,228,725,594,150,269,656,200,206,
412,826,554,468,872,309,328,602,005,280,678,081,330,530,325,586,578,511,188,
351,118,332,307,147,541,724,781,281,935,964,136,878,299,639,631,181,298,271,
645,411,774,999,046,650,446,370,653,791,125,419,026,210,313,816,051,423,067,
349,397,726,217,265,848,110,689,292,596,499,193,592,073,252,930,619,004,164,
608,745,344,190,147,710,261,855,414,867,260,855,865,982,874,464,067,533,815,
506,695,038,364,771,959,854,983,532,938,190,406,959,007,585,549,819,420,850,
231,701,231,841,584,996,976,048,886,869,039,707,604,412,354,645,270,012,896,
588,472,228,691,557,074,824,174,628,509,940,550,436,987,927,506,576,808,226,
110,418,775,768,013,246,425,978,552,213,335,398,812,166,871,521,370,684,695,
468,464,490,610,275,055,585,225,378,676,901,181,913,210,250,257,995,400,384,
403,224,465,837,835,215,991,565,132,652,333,659,956,380,291,099,548,000,930,
348,202,661,685,835,185,326,752,038,839,153,818,760,539,812,737,050,207,137,
498,633,428,385,410,124,060,979,827,938,298,903,531,156,642,230,473,406,743,
624,239,850,603,517,367,421,571,933,410,762,753,229,534,532,546,908,565,783,
879,994,785,920,389,339,083,856,264,192,679,855,423,061,583,114,687,199,667,
939,943,104,108,256,931,528,889,418,788,370,144,957,461,718,029,594,789,814,
540,496,882,325,456,755,835,107,320,459,035,310,093,896,076,100,208,687,952,
052,291,160,855,350,309,767,325,634,017,356,361,114,243,181,671,280,042,417,
419,057,199,798,507,903,009,066,636,508,083,074,087,658,759,825,295,574,132,
015,526,589,365,053,711,836,554,384,997,143,194,709,536,316,744,975,788,182,
272,104,388,732,583,280,873,234,938,574,009,023,510,056,304,542,905,309,061,
060,426,069,496,274,878,442,604,162,160,922,065,958,650,373,901,531,084,935,
129,233,116,758,985,923,524,294,484,278,055,267,269,569,569,127,062,102,014,
751,439,224,755,645,676,172,302,617,976,722,060,552,202,854,346,574,563,193,
443,679,510,576,516,470,991,454,692,137,161,728,303,786,686,274,632,748,773,
480,339,176,332,359,510,166,965,109,828,006,215,852,015,142,146,785,699,331,
441,186,002,633,498,114,496,907,791,103,653,562,626,253,762,809,663,205,610,
945,965,603,880,457,307,956,354,862,113,007,187,522,593,949,368,194,693,163,
930,154,119,534,878,472,523,516,441,892,112,682,424,470,574,384,254,849,701,
072,662,141,067,815,807,913,548,863,229,079,827,291,756,245,869,299,872,489,
991,474,977,693,491,480,799,896,185,136,574,785,833,204,346,658,674,398,910,
661,338,433,787,653,211,777,004,217,851,579,169,705,220,699,581,487,010,900,
080,660,862,159,021,659,738,852,771,522,488,708,065,718,720,488,009,423,029,
502,895,574,315,991,781,858,896,186,068,705,235,931,759,962,576,960,585,223,
146,231,922,903,040,051,787,982,526,368,332,679,815,749,948,456,049,054,161,
508,884,271,866,537,888,037,350,371,145,637,168,233,687,866,545,168,421,171,
266,419,566,798,363,241,949,955,400,338,174,639,704,921,299,931,651,098,986,
806,785,396,339,316,187,284,147,264,389,337,641,071,004,954,173,224,422,431,
920,076,726,288,967,955,797,193,111,582,418,106,939,596,295,848,129,266,661,
270,511,620,142,007,627,536,436,030,522,357,920,077,461,343,071,007,910,993,
337,844,412,310,497,706,749,952,892,463,365,384,729,174,437,212,515,821,391,
037,388,040,984,120,111,035,716,873,583,632,666,588,889,449,700,667,232,775,
570,919,184,887,134,830,825,254,221,415,206,038,418,447,566,987,360,963,452,
927,696,005,612,019,085,940,798,150,457,417,546,215,081,048,333,866,559,979,
124,648,833,490,259,651,167,077,894,823,287,142,229,416,222,753,878,189,625,
727,398,090,496,752,148,641,268,969,817,532,519,243,518,920,930,621,584,218,
619,291,760,410,765,996,123,465,051,424,103,950,352,372,971,847,572,676,893,
527,458,325,077,408,783,904,093,766,029,790,952,766,024,705,155,668,585,722,
464,558,091,300,600,136,617,519,592,147,237,293,499,741,150,217,335,429,584,
494,441,457,198,291,583,947,384,583,259,614,142,359,969,664,315,573,313,812,
724,574,200,391,189,797,557,415,033,601,544,422,639,821,985,842,904,284,394,
337,959,175,749,847,864,392,358,855,159,227,861,244,965,951,164,400,088,535,
797,597,638,552,783,673,419,644,312,117,813,819,375,165,357,111,570,204,766,
736,856,362,541,982,671,642,124,169,223,791,722,528,682,571,904,777,222,147,
765,381,268,000,041,509,311,631,245,899,839,728,297,035,245,798,923,220,992,
493,489,048,591,937,335,391,415,924,185,987,992,753,832,156,981,577,192,872,
296,101,377,187,426,182,017,379,295,140,356,373,540,018,242,929,432,631,964,
557,121,378,219,349,576,506,677,096,054,675,102,525,830,199,601,506,089,962,
116,109,570,831,743,092,066,984,238,791,912,799,823,831,493,765,058,724,695,
704,454,503,478,664,232,837,033,763,784,181,830,635,527,461,825,520,938,956,
253,295,197,185,657,885,021,870,464,105,316,601,716,072,423,426,384,519,908,
383,353,806,387,874,702,561,753,045,891,941,235,412,325,435,481,300,541,463,
612,264,751,649,990,291,304,587,718,929,109,975,343,167,164,512,590,309,264,
066,301,339,189,572,076,869,829,275,290,634,854,369,241,730,156,282,302,317,
875,950,281,984,995,135,288,156,809,239,485,575,077,853,336,537,693,278,137,
740,379,375,424,659,404,058,016,612,226,099,531,166,307,785,933,791,028,555,
228,003,482,053,665,201,505,632,762,160,439,076,885,811,851,416,492,121,377,
013,737,899,075,760,768,292,878,959,554,926,923,558,626,286,120,526,404,515,
744,336,099,279,938,337,953,279,158,383,504,176,704,930,329,988,153,871,884,
866,137,358,744,659,405,853,749,352,298,125,864,626,898,407,220,985,915,054,
984,938,861,788,263,751,575,592,624,803,164,591,015,399,574,867,851,729,873,
479,764,334,475,786,422,769,571,012,302,576,546,148,208,914,426,634,281,262,
045,119,251,412,391,257,594,712,450,211,173,784,463,932,175,289,399,741,971,
171,364,116,255,679,513,883,118,519,765,488,286,197,055,939,646,764,978,471,
067,291,063,871,880,559,545,631,774,713,961,163,322,775,353,803,139,300,132,
970,497,324,724,386,664,524,029,055,312,524,686,938,070,851,205,050,868,251,
110,274,297,572,591,802,109,303,457,414,526,704,440,283,060,896,991,234,523,
630,195,230,060,740,947,790,083,782,719,171,121,934,075,925,700,845,517,312,
344,332,126,204,228,218,454,377,660,667,084,282,021,120,481,170,513,803,830,
567,650,611,452,611,275,001,675,338,359,334,439,713,540,373,462,556,185,759,
003,763,687,553,775,742,414,903,875,560,254,017,791,087,179,356,513,546,995,
133,738,040,513,636,894,619,496,275,660,523,778,343,183,628,045,211,257,740,
117,953,532,414,735,922,255,474,540,167,863,400,825,490,212,545,094,700,897,
054,538,516,075,951,834,694,764,455,689,137,519,680,638,943,062,451,861,702,
542,043,835,778,866,597,626,841,535,988,691,555,343,280,828,411,516,580,812,
074,578,759,421,113,317,156,759,101,000,003,762,360,857,713,823,503,979,385,
538,643,211,780,296,201,904,941,765,475,335,146,038,799,417,789,918,622,533,
468,986,020,039,636,162,983,440,815,070,405,531,474,308,992,740,637,847,548,
787,678,320,555,317,156,999,812,973,383,221,729,898,252,896,227,922,809,056,
374,634,689,926,395,910,122,302,144,850,908,150,050,697,380,151,530,496,662,
388,497,920,871,388,004,949,593,302,771,451,655,269,009,318,913,782,408,465,
656,342,438,736,808,206,371,634,502,890,942,574,992,991,141,589,497,817,384,
358,620,368,573,253,271,448,009,284,030,514,981,134,078,365,214,927,360,588,
091,403,332,938,333,568,397,719,584,998,252,387,552,005,995,878,977,722,041,
476,251,235,271,043,737,905,772,618,893,345,841,318,969,765,150,451,128,272,
986,072,929,121,223,355,580,033,712,915,941,804,091,824,493,577,514,790,542,
040,360,715,308,641,479,798,896,393,938,873,878,054,882,788,059,667,475,683,
500,965,925,307,140,411,861,196,748,583,563,306,994,137,536,292,373,561,161,
471,228,598,122,823,582,596,190,244,578,467,612,658,568,010,621,499,364,799,
493,250,983,356,390,629,009,454,370,204,181,809,848,003,059,681,373,745,569,
310,462,543,596,962,710,572,891,433,966,766,303,874,013,596,992,589,138,331,
824,126,067,077,148,587,282,640,137,700,704,889,235,615,327,669,673,351,791,
441,787,363,076,479,246,771,362,734,659,499,402,347,721,490,469,259,990,880,
691,372,589,900,095,176,061,034,586,945,877,963,728,723,109,420,857,740,217,
982,398,751,642,239,847,381,284,296,721,319,960,067,591,452,447,555,713,762,
919,823,348,951,561,772,761,474,562,841,874,139,319,919,842,565,140,649,960,
968,737,772,396,153,516,830,548,611,557,269,453,695,204,783,862,941,837,528,
468,614,672,525,462,902,216,233,711,424,165,582,638,583,420,344,390,297,847,
733,664,253,141,577,429,767,494,067,990,169,724,100,251,892,350,296,903,521,
139,324,537,961,494,045,765,401,729,380,058,017,594,305,288,961,405,511,477,
088,835,043,734,962,654,346,201,757,672,138,158,973,031,883,140,823,004,865,
288,035,997,495,998,239,180,429,457,733,843,641,820,504,353,818,527,957,091,
293,723,987,874,324,719,868,981,734,241,263,290,031,331,634,431,966,982,992,
695,257,102,842,837,038,605,505,701,629,951,888,421,071,204,814,223,298,397,
516,773,675,001,140,705,644,843,774,434,389,298,383,139,895,709,779,261,721,
000,402,798,830,749,255,336,819,963,259,054,860,477,270,758,722,405,670,756,
010,142,137,425,841,282,898,062,277,690,125,515,145,519,641,524,746,547,187,
970,458,693,104,429,823,088,298,373,379,761,298,863,630,980,095,801,347,010,
788,053,959,089,793,366,001,619,629,917,895,610,140,137,817,933,618,200,736,
574,418,198,778,376,813,713,606,150,240,590,898,941,802,694,016,516,255,014,
235,662,864,854,263,673,163,404,753,461,050,765,887,671,928,704,242,272,592,
146,327,624,346,252,494,372,039,758,856,168,627,321,168,643,715,380,341,522,
385,091,929,329,581,009,749,949,349,705,323,059,421,170,121,452,107,686,125,
400,723,158,474,297,310,031,622,626,870,823,547,123,700,316,269,841,758,193,
865,437,922,723,394,117,478,403,604,276,203,170,029,810,171,842,868,523,691,
799,106,719,062,081,570,251,552,438,106,152,488,567,720,158,584,519,971,600,
686,822,456,294,476,703,871,897,738,796,260,553,664,466,995,023,707,768,703,
183,769,943,713,476,224,397,074,127,363,519,679,408,329,667,637,533,270,062,
812,392,370,058,461,280,969,140,532,955,655,248,957,916,972,740,940,199,709,
896,553,224,553,615,793,863,749,996,873,953,739,214,351,038,664,660,440,392,
449,484,860,014,247,183,422,335,582,827,091,145,655,241,051,230,251,611,403,
327,048,934,800,969,210,192,300,859,358,208,596,821,627,989,976,292,772,467,
361,698,252,127,260,748,836,272,006,097,403,189,526,230,311,269,425,269,464,
111,034,569,156,852,479,423,592,082,432,803,013,818,673,039,654,652,480,730,
402,001,604,919,618,866,439,969,391,379,488,697,449,138,333,340,629,321,239,
699,746,107,781,264,094,477,511,246,558,698,818,103,502,889,213,616,745,817,
530,999,634,478,658,146,382,033,766,260,616,902,603,947,777,397,679,361,204,
270,268,104,911,733,809,164,321,794,721,664,703,955,635,617,479,590,390,080,
666,537,053,930,275,210,714,289,411,676,202,894,567,341,920,860,046,868,560,
664,127,356,335,845,659,617,063,753,360,658,031,457,289,568,691,260,618,120,
364,730,718,316,220,800,877,420,569,428,885,980,529,495,129,006,337,906,228,
518,122,359,959,705,620,940,614,469,851,239,898,198,908,440,647,817,902,298,
882,901,996,861,993,198,839,379,844,451,182,079,224,168,131,337,205,199,797,
397,553,298,747,591,688,528,522,429,238,301,824,754,905,674,692,694,679,365,
120,334,434,605,081,975,807,437,986,959,657,893,290,241,241,718,599,921,007,
491,084,340,549,578,604,083,396,020,641,828,579,239,898,085,854,247,636,395,
560,744,694,495,961,697,237,840,477,130,742,452,106,187,522,548,908,567,708,
827,478,221,352,158,107,895,794,762,133,670,534,150,629,546,151,835,588,180,
156,267,633,764,974,770,678,869,800,985,449,399,409,414,623,001,864,381,385,
617,621,467,644,239,849,155,505,176,844,974,172,559,714,966,670,617,192,607,
647,371,064,391,267,918,705,241,085,695,513,261,165,792,380,884,302,217,232,
237,397,632,682,473,710,877,349,898,967,136,908,000,388,289,616,619,000,128,
687,595,214,273,600,775,568,741,579,268,034,566,563,672,613,199,526,519,201,
825,914,400,163,901,251,388,277,864,992,007,693,930,401,783,754,281,310,211,
727,637,509,487,606,166,669,932,963,212,654,691,230,551,063,800,445,065,592,
460,027,009,412,821,860,843,521,044,983,166,422,794,283,297,412,522,774,987,
676,784,341,307,960,095,352,860,223,697,636,490,978,277,679,417,368,827,380,
094,390,601,643,116,902,076,322,828,541,360,866,444,613,710,029,417,340,295,
190,968,136,448,529,699,236,049,441,200,782,126,823,534,275,834,030,019,140,
928,727,721,856,240,844,541,560,459,418,281,591,966,473,219,026,714,881,830,
205,731,296,704,458,543,808,086,886,008,978,504,064,960,666,982,234,276,072,
255,600,256,937,074,724,345,713,997,406,228,947,983,896,060,108,774,756,780,
459,381,510,804,060,108,475,003,430,076,421,208,778,658,162,037,532,127,364,
506,265,174,146,980,600,443,959,259,610,727,078,470,870,881,500,210,432,748,
425,397,023,993,565,012,144,239,233,455,690,847,434,308,032,485,715,042,788,
111,826,088,283,391,752,031,695,763,729,471,036,437,855,320,407,397,275,228,
339,129,743,546,241,925,328,326,996,989,888,977,823,734,177,885,726,917,845,
534,584,314,649,654,000,863,435,184,911,503,385,918,222,344,347,598,621,739,
344,398,001,272,096,070,524,098,028,298,115,479,477,766,852,646,061,788,148,
062,526,175,731,256,942,829,491,978,359,303,002,389,524,129,002,083,693,668,
953,915,432,328,453,449,876,464,796,961,268,589,859,729,627,646,323,612,400,
087,946,510,276,348,021,116,589,427,456,095,611,419,986,420,420,406,803,906,
990,789,389,688,502,249,058,095,423,750,838,194,798,867,800,886,547,435,155,
294,377,209,677,899,216,419,164,765,019,356,521,065,663,732,543,311,074,513,
356,999,960,453,503,713,656,756,696,391,031,512,092,922,140,409,065,012,369,
084,658,639,451,631,191,451,862,851,442,896,551,176,622,034,848,282,399,586,
821,864,001,953,416,568,253,953,892,586,261,240,403,874,075,516,719,942,229,
064,725,028,483,620,997,156,857,520,131,978,687,661,902,638,572,570,792,409,
312,833,339,037,613,404,151,782,780,623,023,449,788,904,093,359,087,631,955,
773,243,358,447,384,082,859,096,713,961,488,494,963,056,007,067,516,026,196,
966,547,318,662,671,763,901,257,225,898,041,453,721,927,552,387,680,577,727,
523,219,801,287,670,354,613,456,820,527,554,237,981,855,730,989,220,453,865,
225,641,149,463,829,142,406,565,744,582,151,473,439,914,720,853,907,486,199,
135,826,614,898,427,664,489,132,299,769,823,259,013,630,180,388,514,893,070,
965,715,462,000,008,890,280,577,000,588,848,538,772,388,155,553,984,139,909,
223,223,073,016,665,190,028,009,210,814,149,956,559,952,692,183,101,157,199,
912,921,742,441,398,802,434,640,275,729,983,248,187,780,415,163,120,350,857,
524,564,726,712,414,530,232,462,789,848,669,050,280,119,436,245,052,835,812,
379,883,055,143,297,946,527,333,441,232,475,350,729,312,165,568,225,178,375,
707,272,953,584,361,870,029,948,119,365,193,329,806,611,074,959,458,414,381,
440,488,141,406,470,730,253,810,580,410,966,200,237,710,793,831,479,072,864,
101,393,329,933,252,959,861,111,948,014,156,826,046,855,593,436,270,929,615,
574,997,011,773,493,275,994,488,424,103,373,579,069,672,308,952,668,941,659,
464,936,728,378,222,931,787,113,445,999,791,245,092,772,916,162,030,782,125,
552,248,668,690,813,031,128,036,027,535,161,092,631,185,895,610,691,316,090,
110,214,826,351,635,263,442,506,525,017,058,071,650,034,168,643,573,168,394,
252,786,016,142,118,654,534,370,849,890,726,648,184,465,663,361,309,415,953,
518,242,696,116,185,090,125,944,095,911,771,927,944,944,226,384,465,116,450,
256,564,468,676,992,365,963,273,164,443,364,842,973,923,042,798,155,287,867,
288,365,666,962,589,984,255,805,380,587,248,779,929,296,606,876,966,478,952,
713,638,298,013,288,127,838,844,313,246,583,224,420,123,996,145,984,171,229,
039,325,946,674,715,421,453,061,214,797,959,248,333,251,449,075,703,312,466,
512,977,279,637,006,509,321,367,158,371,107,720,046,744,460,296,894,559,280,
706,666,201,859,200,119,922,931,236,700,784,315,245,073,629,084,225,593,634,
063,462,007,979,045,067,501,287,757,966,195,321,977,125,849,636,506,848,152,
268,526,655,830,660,351,820,882,455,035,005,769,441,863,716,105,459,842,084,
644,663,147,104,937,124,233,507,381,940,304,137,756,613,023,049,575,991,756,
889,478,434,241,612,269,065,200,797,495,208,164,350,132,014,734,910,242,571,
211,226,543,689,872,364,880,894,252,893,041,425,011,407,177,911,859,778,922,
851,022,853,834,386,787,375,504,089,850,283,902,382,675,797,300,033,942,260,
182,626,947,553,695,405,086,133,630,290,947,608,499,676,800,571,637,530,596,
190,147,218,834,256,841,397,881,263,847,111,926,030,521,476,867,122,637,097,
588,352,400,053,547,656,108,930,885,125,054,028,814,630,820,877,812,338,420,
563,990,047,050,229,255,763,092,136,137,441,378,878,011,043,739,583,785,158,
377,783,293,421,245,787,242,396,493,317,904,903,501,719,785,392,111,850,969,
998,815,561,687,996,876,871,294,425,190,685,029,266,610,100,794,692,704,385,
735,169,938,789,340,008,711,427,569,621,297,243,649,940,535,089,463,150,888,
698,653,719,946,825,839,783,758,394,648,266,903,495,838,148,948,182,988,328,
190,773,643,504,706,414,555,336,254,648,723,174,265,923,458,247,319,686,573,
568,682,103,084,945,082,264,164,881,444,570,809,368,814,146,470,521,908,588,
221,563,179,843,179,828,554,867,090,446,239,319,387,893,319,832,626,188,393,
606,290,356,823,080,495,136,749,363,895,973,968,641,820,770,256,720,676,165,
111,688,972,153,909,037,408,215,371,832,450,859,158,840,633,214,659,760,513,
388,676,368,609,965,677,746,012,815,890,606,222,412,870,286,105,016,877,086,
694,787,350,730,589,245,141,871,140,458,144,585,462,676,042,839,005,447,110,
630,364,661,947,313,047,930,499,959,858,899,475,525,417,821,895,529,997,676,
928,648,693,292,350,879,356,854,706,581,095,303,111,890,664,658,966,283,840,
455,216,282,294,730,821,892,518,767,958,158,965,345,195,977,954,313,986,301,
989,552,477,565,387,323,178,154,686,894,520,338,189,999,413,007,214,473,341,
945,573,833,141,053,822,378,097,836,288,042,518,188,722,701,880,096,994,639,
577,046,511,898,743,335,713,842,158,156,157,434,186,168,304,177,337,917,276,
996,895,940,009,871,658,746,411,310,096,215,974,505,463,741,611,254,212,498,
406,660,944,076,269,122,546,046,558,088,092,749,773,354,476,619,540,944,969,
279,628,056,763,878,902,197,298,129,890,836,531,787,152,471,679,384,101,263,
439,663,359,643,529,958,746,752,739,069,285,257,579,495,667,254,681,902,206,
268,229,534,518,300,693,211,697,698,474,438,187,515,246,268,841,768,669,704,
768,265,676,965,715,244,676,420,622,405,280,098,164,702,909,445,449,190,069,
354,526,710,303,181,821,535,904,784,563,904,488,397,012,354,897,693,300,864,
220,325,828,622,221,729,965,471,738,972,617,012,424,075,699,144,596,232,877,
925,499,521,347,088,870,187,676,326,335,442,730,840,834,197,964,159,143,793,
316,362,640,402,883,212,485,605,572,522,400,413,314,945,584,242,851,400,844,
892,950,924,580,195,356,188,927,843,900,500,331,251,171,213,743,395,822,627,
415,043,371,618,099,513,744,142,909,119,741,563,462,659,874,297,770,829,635,
187,827,645,116,154,873,706,892,182,603,139,589,524,095,987,191,063,174,789,
355,225,238,262,529,046,383,001,938,076,441,743,900,467,357,385,910,583,487,
507,163,942,505,319,120,480,746,783,468,809,354,710,831,187,367,327,863,434,
563,881,081,251,250,289,040,327,643,838,139,146,770,949,527,012,788,571,638,
807,185,312,568,741,237,155,245,054,676,546,382,725,195,987,851,505,196,901,
380,862,090,677,603,024,344,848,833,510,865,775,139,201,687,290,716,481,956,
381,648,845,205,185,442,762,764,158,573,170,727,068,101,535,467,535,706,247,
939,043,947,198,425,087,104,119,854,257,258,654,758,951,428,498,958,108,642,
350,680,522,917,523,564,915,826,244,149,420,336,669,917,983,774,156,012,018,
017,932,748,849,508,620,148,548,198,556,007,077,483,583,825,754,638,882,054,
188,998,847,909,900,194,882,450,817,883,406,645,153,926,503,408,539,940,944,
832,240,488,940,448,766,646,113,628,734,811,013,687,948,201,911,474,019,622,
647,722,178,271,306,007,099,047,748,035,905,676,509,908,125,910,545,908,896,
471,276,482,537,868,275,046,435,604,113,919,466,090,201,245,433,010,048,153,
259,785,601,207,004,272,247,010,557,128,698,087,762,335,893,129,868,459,119,
633,448,082,884,455,353,984,729,661,454,300,965,763,189,712,324,493,191,957,
266,510,814,603,609,360,148,871,229,977,452,400,411,514,835,931,493,106,867,
692,470,441,563,531,899,734,705,476,256,614,664,976,870,591,977,164,732,929,
623,349,924,200,526,162,862,213,459,961,345,070,105,023,668,106,851,671,095,
874,376,406,930,647,536,644,626,293,103,334,373,016,899,931,793,517,047,105,
136,330,969,923,273,537,883,410,348,710,527,759,329,999,853,485,999,074,136,
561,431,929,583,230,143,432,610,390,063,206,963,112,553,804,070,961,842,332,
155,390,833,634,260,448,745,614,926,831,875,430,952,908,780,510,195,713,243,
250,933,506,735,946,562,738,537,230,993,721,218,329,133,334,699,555,986,252,
345,304,578,575,762,055,101,172,322,977,583,649,391,520,122,185,245,923,477,
275,255,053,360,052,933,759,328,328,820,144,303,699,661,438,111,945,633,957,
005,584,403,559,111,366,145,145,538,663,372,350,016,770,569,124,092,980,313,
611,850,128,861,150,071,652,559,747,275,284,583,532,010,063,377,036,904,005,
718,563,340,416,985,306,456,697,472,008,361,564,350,752,001,891,511,503,315,
450,628,251,212,788,800,715,850,273,044,431,305,803,714,484,158,032,257,432,
665,713,941,432,672,996,370,905,577,566,031,174,157,912,801,978,139,263,991,
302,355,606,990,824,389,813,896,439,870,926,235,397,014,082,930,633,903,503,
052,154,045,436,867,274,010,040,120,179,975,937,687,659,803,866,480,465,676,
458,253,905,588,724,577,103,335,571,731,604,322,477,173,717,998,320,932,469,
596,704,627,023,858,218,151,527,358,446,411,081,260,431,899,330,205,148,429,
395,459,863,455,168,105,543,587,206,813,049,037,229,941,731,979,467,281,737,
843,137,093,737,179,596,858,916,202,578,655,881,778,375,064,461,732,318,912,
581,554,765,774,235,891,737,437,421,190,708,582,024,035,606,403,473,684,689,
860,137,539,633,573,889,652,249,110,500,428,870,494,775,631,768,994,387,483,
302,252,470,638,875,189,482,982,762,154,408,946,971,260,883,057,288,478,934,
805,657,720,292,896,711,727,560,428,808,144,212,936,821,547,833,140,546,173,
316,428,972,105,350,423,418,618,101,699,038,142,708,927,999,746,492,832,880,
943,999,066,082,277,427,307,500,327,520,064,604,196,407,480,578,862,128,056,
879,811,989,769,639,264,529,543,207,943,968,644,232,008,146,036,968,537,762,
491,515,679,499,116,030,375,401,032,120,388,764,776,239,195,306,397,735,500,
371,257,793,647,734,734,293,819,606,272,067,322,933,153,277,871,609,778,767,
821,568,222,467,463,445,401,005,056,327,839,911,833,279,492,550,466,794,103,
338,213,660,671,362,060,918,690,989,551,399,104,081,731,661,223,968,403,034,
867,756,829,222,972,321,724,688,319,518,380,882,094,392,366,567,932,102,252,
746,885,629,470,574,563,710,898,644,675,999,039,143,813,805,598,233,186,946,
122,746,124,359,571,136,970,728,751,321,494,721,377,738,932,532,266,835,003,
618,386,052,181,043,203,196,738,220,288,959,420,145,637,465,503,317,702,959,
556,228,661,527,276,562,959,951,126,355,875,364,530,475,791,773,907,475,755,
989,324,236,977,461,706,345,162,327,486,043,806,276,850,889,830,293,281,042,
291,423,238,139,551,502,315,054,458,583,254,472,537,773,017,759,726,411,503,
340,629,982,745,051,019,699,357,950,570,651,163,930,283,114,864,504,471,065,
275,757,980,800,014,162,082,502,165,323,625,949,239,104,437,313,454,857,851,
164,168,410,241,321,591,022,487,448,751,222,354,850,914,931,027,365,764,018,
374,815,579,189,970,841,312,144,087,241,097,312,382,277,275,291,463,383,311,
952,896,988,691,103,284,185,746,037,503,998,956,347,038,602,476,765,270,130,
110,009,530,943,249,535,028,031,860,667,452,590,129,279,468,911,640,090,064,
077,272,985,270,574,198,754,166,177,503,222,368,260,090,253,491,173,807,313,
283,436,922,097,557,138,889,237,262,840,810,949,493,480,218,628,462,137,628,
737,065,550,238,970,038,183,158,017,743,349,258,847,561,344,584,618,813,540,
125,988,991,591,250,668,262,121,554,942,800,823,229,166,315,613,721,176,260,
423,219,263,457,584,589,888,474,552,423,489,403,457,936,499,850,840,721,247,
611,638,597,779,996,778,565,748,442,309,318,140,217,894,172,080,127,893,376,
337,559,378,642,645,195,683,145,954,916,883,849,610,728,113,021,583,251,359,
360,596,629,055,255,687,472,393,949,753,883,650,234,496,044,225,592,107,137,
220,366,658,793,417,400,038,022,719,423,935,150,581,247,106,173,527,608,106,
338,627,099,006,429,983,328,694,761,553,446,046,494,946,022,757,352,911,136,
382,277,379,178,016,490,621,259,785,444,897,962,993,272,825,331,318,741,131,
213,830,671,579,449,203,767,593,130,694,556,794,542,101,612,594,427,956,709,
724,758,452,674,379,265,143,155,615,274,836,590,848,061,198,941,360,811,761,
347,476,811,347,590,670,233,775,399,535,654,244,119,246,585,921,445,338,515,
909,905,481,173,706,573,620,561,927,186,530,917,924,490,292,118,913,970,948,
952,708,151,399,410,080,822,156,081,625,921,398,611,458,629,692,356,329,167,
147,258,869,450,982,976,455,875,003,688,101,108,431,858,786,140,288,309,521,
087,705,531,031,029,282,314,839,519,287,593,055,499,926,242,383,974,597,355,
666,467,741,904,732,657,468,672,167,943,241,439,941,220,859,679,318,991,361,
688,450,830,957,038,820,158,050,677,814,686,094,740,244,567,266,142,941,234,
884,831,545,912,112,823,977,492,133,627,059,373,744,803,632,508,164,661,726,
548,339,600,284,393,278,738,533,871,244,657,589,546,314,570,399,603,816,360,
793,783,969,001,661,405,453,409,547,484,024,128,986,913,305,063,172,701,936,
208,838,823,883,164,484,444,460,036,840,681,047,408,166,948,097,159,557,230,
256,396,733,653,211,174,234,928,725,553,841,459,484,612,505,870,839,261,169,
265,641,731,796,108,552,270,892,630,143,509,507,124,028,070,786,734,756,752,
909,521,605,344,223,547,119,767,592,079,979,775,357,830,635,289,947,988,491,
690,400,803,812,330,451,863,790,514,574,528,940,039,147,891,830,279,906,969,
646,343,885,392,818,679,130,954,021,940,306,837,485,143,847,832,313,781,152,
998,159,455,361,273,984,654,675,051,868,153,707,531,488,090,378,158,001,364,
107,999,803,739,981,486,058,243,937,037,736,646,921,217,284,626,477,420,924,
529,217,146,245,711,126,469,661,279,352,089,784,232,506,369,268,954,668,672,
499,021,132,608,587,781,970,991,661,400,282,479,792,990,139,496,458,517,582,
209,272,786,876,293,196,972,584,325,387,740,141,584,125,292,102,356,722,385,
948,663,119,621,007,975,807,083,554,215,300,094,756,318,314,850,511,756,928,
554,004,308,891,574,558,481,097,719,827,817,863,132,237,543,740,488,480,841,
295,852,246,417,370,200,082,073,964,255,474,341,788,525,761,835,313,145,388,
017,837,685,096,771,288,124,768,632,264,199,114,811,310,840,862,496,840,938,
564,075,604,371,510,265,408,997,569,136,900,058,126,143,529,070,120,456,813,
596,801,999,230,552,356,829,981,373,878,846,969,954,858,711,539,323,185,012,
195,496,300,190,224,197,008,696,620,735,724,724,040,462,595,674,521,813,683,
971,515,961,169,517,968,758,449,072,808,402,977,883,133,011,851,704,275,417,
764,027,021,025,263,678,622,912,653,739,210,059,690,490,609,766,875,373,177,
812,347,537,925,142,771,547,183,704,090,543,123,851,936,686,805,182,480,363,
754,615,192,425,276,458,297,205,434,498,487,786,537,566,991,586,721,845,208,
801,799,203,182,486,753,168,269,862,972,656,154,173,509,077,329,878,151,244,
503,784,675,827,187,061,950,884,747,059,867,785,536,562,256,130,612,894,730,
046,605,408,735,260,245,546,643,434,166,360,008,630,548,111,036,989,253,958,
960,293,686,679,841,393,789,485,339,736,722,140,840,239,628,480,748,604,565,
054,613,096,192,771,431,538,278,158,550,072,391,830,352,465,009,690,217,201,
936,724,199,494,465,759,479,838,596,130,386,380,940,444,609,865,498,642,605,
002,901,369,758,798,658,207,920,261,760,265,501,524,182,248,758,879,062,122,
784,040,229,916,144,554,788,674,063,019,266,328,618,261,942,357,969,343,160,
931,612,275,572,582,934,254,219,872,182,663,513,846,288,077,257,366,053,211,
131,448,994,897,103,601,853,032,978,745,395,182,324,742,823,703,397,904,547,
233,792,325,952,436,922,785,584,798,902,633,025,288,360,780,684,547,552,075,
302,077,742,471,708,774,768,903,615,991,271,608,804,951,283,300,692,730,015,
010,866,458,187,694,497,179,041,919,027,050,705,275,366,780,865,417,931,735,
699,339,296,637,687,610,049,852,611,840,242,425,290,479,551,591,408,772,873,
003,066,350,399,836,518,725,236,112,090,412,032,909,011,849,100,788,362,268,
953,507,934,578,815,823,119,845,038,614,848,166,159,855,827,315,128,557,117,
279,944,099,917,419,370,333,476,410,343,900,691,445,519,372,592,834,558,326,
033,478,169,678,863,114,127,990,749,321,241,132,767,668,383,126,628,545,605,
305,180,849,109,342,669,681,426,011,075,267,603,438,234,130,656,802,894,983,
541,322,853,538,039,451,558,257,688,145,611,045,768,446,354,031,685,769,076,
121,400,502,502,238,797,668,074,528,565,234,557,885,125,907,331,135,472,503,
715,469,509,463,024,526,554,793,263,087,893,458,751,798,697,203,058,925,949,
636,763,461,860,508,186,107,300,173,662,540,754,762,468,250,741,421,557,399,
812,890,674,576,116,042,631,164,631,993,296,262,875,519,628,215,997,223,574,
585,478,329,185,878,561,552,086,563,675,144,479,034,510,029,708,044,725,728,
411,305,028,194,361,705,949,123,653,718,973,180,320,647,517,587,813,580,782,
018,272,247,675,267,618,847,909,465,662,851,877,913,323,207,898,214,243,888,
160,701,609,986,821,186,179,812,441,918,688,139,307,008,931,194,612,305,353,
651,678,054,826,333,964,515,448,505,208,404,640,504,821,205,879,945,369,644,
430,642,233,094,237,942,427,619,343,325,735,738,282,590,865,963,809,190,882,
739,377,764,118,579,215,850,670,012,162,420,443,645,873,405,882,416,425,512,
514,801,035,400,836,797,509,151,859,961,061,727,696,689,973,476,474,436,866,
298,586,196,843,821,519,253,070,007,045,405,922,793,014,536,901,441,952,913,
322,745,845,687,332,985,837,044,081,729,671,678,662,766,738,430,334,168,359,
509,261,084,915,805,367,851,852,194,162,752,533,668,362,941,343,271,774,169,
600,644,311,316,225,671,758,010,637,283,908,822,090,199,450,243,384,095,174,
322,517,951,491,914,087,982,680,480,420,348,588,838,231,638,589,651,525,214,
856,562,182,355,587,310,483,717,318,238,595,838,129,499,292,029,243,764,527,
183,026,208,301,709,787,076,990,828,729,528,338,701,978,690,649,756,297,976,
981,581,142,967,212,130,859,582,875,055,061,627,269,717,317,180,118,958,835,
918,764,040,338,722,606,322,264,580,660,900,524,890,309,592,264,909,005,281,
357,401,095,595,123,943,347,609,346,994,324,661,200,385,613,979,385,819,378,
280,012,881,653,857,872,699,811,613,033,863,254,740,385,813,786,810,957,737,
580,786,521,775,685,572,246,757,041,569,970,306,693,094,730,264,991,647,503,
774,379,991,762,873,852,599,986,800,364,719,654,492,466,724,073,275,905,623,
762,534,099,797,219,413,489,264,902,858,200,594,954,835,583,724,422,826,279,
993,861,472,172,700,541,808,125,293,144,270,946,592,819,916,575,834,402,713,
471,519,314,031,898,159,477,166,566,465,214,943,937,725,119,699,774,878,772,
053,780,873,468,640,680,552,778,317,308,760,902,986,533,681,284,556,512,678,
362,221,360,374,686,806,973,462,453,574,520,429,631,706,843,778,945,380,889,
654,462,575,229,991,514,025,995,048,600,599,470,486,158,052,341,373,612,915,
977,681,902,332,402,431,266,189,553,920,966,758,709,121,090,735,968,930,738,
792,760,956,854,524,551,314,555,048,456,014,315,693,291,752,029,798,371,902,
373,694,116,533,267,242,268,899,573,976,381,203,173,812,799,507,884,866,505,
938,390,124,092,285,952,471,852,236,018,285,395,972,274,486,226,144,674,384,
977,166,508,613,183,515,744,172,393,281,168,772,617,913,082,605,219,499,561,
770,013,977,659,740,158,944,053,025,457,461,522,609,068,082,568,140,194,226,
433,340,587,336,595,066,891,268,853,982,574,104,097,730,859,253,008,074,033,
430,439,966,302,522,971,595,322,541,340,616,623,934,430,358,286,542,668,906,
185,737,878,226,459,203,133,043,719,004,984,401,884,923,188,969,524,180,787,
643,285,398,178,168,994,721,906,939,020,409,709,531,642,424,846,329,017,419,
003,482,808,183,693,218,582,380,603,999,097,180,860,889,137,265,485,123,455,
477,614,033,076,010,448,824,371,595,749,332,981,668,943,983,584,864,219,271,
811,612,770,693,859,401,311,867,216,257,429,285,283,324,733,111,634,366,045,
071,817,976,551,011,241,945,209,918,054,702,878,671,938,011,233,104,848,888,
872,984,673,196,954,807,995,074,491,864,792,386,949,816,332,392,671,935,468,
463,297,092,958,996,814,299,304,131,026,615,134,143,587,119,874,467,184,540,
628,957,707,694,578,566,702,967,119,419,303,191,605,686,934,891,105,161,043,
957,811,082,637,242,416,374,393,374,418,423,016,548,004,270,497,939,116,972,
784,647,111,681,421,512,184,270,102,670,880,329,536,181,998,399,057,292,760,
952,726,768,435,168,838,635,421,898,362,099,027,663,654,863,927,064,196,784,
043,983,975,962,139,363,301,314,481,171,167,921,188,357,763,398,967,609,412,
629,610,461,308,875,964,115,097,949,795,545,388,133,224,146,302,082,696,056,
526,695,538,090,104,873,916,399,544,452,183,743,594,900,910,763,937,737,002,
584,178,700,043,050,630,308,164,418,493,237,247,780,853,531,508,828,223,035,
192,700,791,175,730,084,606,145,346,811,577,795,006,715,707,425,537,242,528,
742,297,204,757,289,179,650,701,735,886,822,094,935,812,976,492,927,463,655,
181,519,371,677,897,275,588,826,649,804,690,888,467,454,371,633,852,411,282,
796,934,697,564,586,424,578,287,128,774,163,364,143,209,381,691,974,134,055,
904,960,673,139,380,037,940,427,473,745,566,664,682,790,845,038,049,565,396,
345,219,719,168,375,968,491,078,707,283,098,223,718,024,998,530,611,148,523,
065,511,973,519,325,809,283,918,641,191,809,097,532,782,239,982,397,921,282,
706,729,918,163,328,509,618,097,969,001,524,812,591,415,567,312,081,192,426,
291,375,834,105,637,128,452,402,373,378,766,917,811,135,784,868,155,080,531,
099,314,457,958,006,018,014,290,688,098,111,213,982,228,145,722,805,586,901,
003,841,697,223,003,167,554,738,167,734,451,500,126,702,785,555,262,727,052,
741,239,059,605,435,195,887,675,410,705,353,719,107,215,679,327,293,701,110,
531,785,590,915,936,973,458,696,175,477,923,679,986,434,425,272,116,761,699,
914,350,465,701,199,868,645,368,591,521,973,696,322,373,213,504,261,052,641,
760,731,619,597,587,935,501,754,955,521,248,650,739,522,679,875,807,961,506,
912,913,433,633,501,243,219,187,413,468,418,133,926,445,716,967,841,887,711,
156,366,435,396,405,780,966,223,918,458,489,900,986,130,437,445,649,108,866,
671,380,251,987,059,106,467,943,791,990,554,781,809,298,275,905,025,010,840,
795,541,601,128,472,717,510,229,652,725,268,269,244,183,380,479,477,672,380,
771,816,713,479,586,550,297,105,216,568,349,704,186,774,290,243,036,597,371,
432,649,720,519,551,787,385,158,090,294,419,797,058,746,989,446,263,180,904,
521,473,237,885,221,546,868,679,036,194,680,520,013,883,078,675,231,137,559,
265,527,877,009,316,270,259,339,903,421,855,847,615,317,726,122,839,815,830,
584,323,334,248,077,966,312,915,840,685,323,766,125,325,354,368,648,133,912,
980,270,255,556,261,246,534,694,565,826,924,043,321,226,501,137,945,759,238,
040,573,146,110,287,214,553,210,004,043,097,579,027,630,431,415,797,833,549,
224,824,871,008,972,403,945,336,665,250,611,130,421,919,567,683,504,073,564,
818,718,515,268,583,927,775,101,441,788,529,140,789,572,747,658,527,737,860,
717,775,524,148,639,270,638,631,934,711,297,999,625,862,118,802,127,908,841,
034,017,339,057,479,498,887,656,336,348,753,483,854,159,763,859,246,784,289,
459,479,203,355,728,008,366,163,859,507,525,428,079,459,633,654,013,087,737,
161,377,040,507,227,123,656,942,519,112,790,161,447,815,724,891,570,073,860,
913,265,293,777,849,943,769,196,822,772,193,624,449,865,724,508,578,247,785,
580,861,804,962,868,943,044,963,651,562,981,983,980,199,981,547,642,132,144,
555,405,939,047,396,359,795,946,438,558,504,170,136,448,039,803,875,218,103,
894,275,772,237,979,497,864,272,896,078,572,471,220,623,334,908,211,488,176,
742,114,903,008,893,044,720,982,182,398,123,848,065,484,782,475,945,785,804,
856,764,961,216,991,546,218,906,816,527,707,116,670,902,858,914,796,249,072,
180,230,914,509,148,581,706,663,880,261,839,702,906,220,141,015,327,237,024,
039,871,543,567,411,438,394,810,544,384,147,591,919,558,096,051,397,885,861,
336,538,214,279,831,546,562,907,365,676,471,755,515,366,487,311,621,503,110,
606,903,238,180,477,142,428,463,146,315,048,267,877,657,900,337,631,529,816,
878,913,759,958,666,964,636,058,401,553,341,995,126,353,341,582,675,803,751,
076,716,126,010,496,145,686,212,904,971,469,346,082,587,505,119,327,161,475,
808,747,384,251,573,234,692,937,358,356,428,927,875,764,953,981,161,767,725,
812,969,279,115,255,453,192,698,271,957,307,487,590,942,806,568,725,053,520,
780,076,248,437,880,920,502,705,514,107,760,030,571,369,011,120,692,812,339,
173,450,415,706,591,506,232,780,093,099,450,862,322,749,895,918,640,173,786,
416,694,182,796,216,407,108,383,451,140,459,160,789,974,080,156,067,001,536,
247,515,993,217,839,186,056,567,072,506,832,020,677,098,524,099,496,905,448,
563,613,592,263,724,139,406,662,409,645,733,039,167,375,916,900,521,177,675,
823,208,259,315,679,298,684,250,617,809,362,922,520,883,292,693,663,684,424,
016,411,599,306,942,862,697,340,692,568,094,342,268,176,283,955,121,029,249,
233,812,406,412,087,586,121,806,305,513,087,044,805,953,330,579,601,291,001,
040,011,562,358,761,954,406,537,181,152,973,918,051,844,036,864,438,852,873,
517,658,040,221,434,607,220,414,360,074,981,850,169,600,442,326,268,782,517,
159,068,216,639,132,242,485,581,292,656,543,193,959,729,521,162,661,338,814,
179,357,911,479,689,566,452,394,485,132,353,308,460,290,816,018,524,723,338,
452,838,180,609,759,211,304,824,831,817,094,295,738,023,576,777,805,746,470,
008,628,373,307,087,478,812,031,928,117,221,787,987,634,926,980,980,821,955,
770,098,951,580,871,378,256,192,698,890,845,992,890,614,195,250,422,558,318,
480,998,628,788,961,104,745,423,067,419,436,042,127,532,108,808,968,321,872,
521,655,783,102,512,134,828,165,992,678,626,134,544,083,238,432,703,106,747,
831,319,398,039,678,829,819,263,445,791,985,644,302,220,673,751,488,911,581,
819,876,919,222,025,838,748,377,897,062,382,219,647,656,236,081,318,402,438,
848,098,458,749,955,540,867,877,777,610,270,915,108,825,916,584,834,179,175,
606,118,843,213,720,005,758,095,192,722,021,796,628,764,212,832,034,545,748,
479,324,869,332,119,413,779,702,489,970,980,929,935,276,250,716,532,734,976,
324,133,628,925,957,518,122,858,792,914,803,729,608,759,667,603,777,212,956,
991,529,131,869,586,389,804,360,832,867,012,994,383,777,669,162,747,080,561,
181,764,946,285,696,633,441,117,920,058,573,041,627,422,001,092,263,235,482,
554,216,997,802,458,522,598,620,171,244,574,476,727,106,746,962,392,465,951,
082,814,993,973,265,095,022,085,781,890,289,289,814,697,150,242,849,375,633,
830,501,374,725,195,921,323,759,843,712,676,210,048,749,627,941,907,704,810,
661,131,194,280,151,711,022,412,118,285,824,224,919,587,534,829,777,390,282,
081,817,742,523,761,903,065,277,579,002,999,388,797,619,030,118,732,283,213,
204,449,319,779,711,764,601,653,157,146,527,552,578,213,370,205,184,595,529,
952,430,503,134,134,923,641,907,975,922,105,971,107,231,379,044,624,099,100,
431,094,772,120,834,719,768,525,528,403,151,752,890,574,212,325,131,975,966,
177,606,196,556,928,791,455,792,105,022,979,595,297,770,161,622,596,694,924,
529,176,790,079,750,565,387,224,319,425,457,446,430,110,762,706,337,946,939,
043,835,675,251,583,464,600,443,438,525,215,915,741,506,206,344,748,435,016,
270,760,788,493,409,276,252,672,415,766,255,194,707,348,807,651,789,705,861,
164,102,770,714,119,318,124,089,354,373,201,501,821,553,750,998,427,958,254,
765,893,492,248,529,616,245,938,031,706,489,672,742,115,770,816,718,998,806,
763,410,772,747,521,166,962,185,642,272,401,026,924,748,496,499,609,191,820,
308,907,371,515,339,863,930,062,581,153,440,141,098,058,073,598,445,643,700,
370,294,327,074,951,197,459,497,023,655,886,374,842,762,848,683,698,369,401,
664,424,081,803,915,609,476,958,270,939,742,710,397,480,154,310,834,824,786,
791,943,703,615,395,344,328,786,848,531,228,678,067,331,229,588,824,958,185,
053,645,441,401,253,002,965,548,423,770,428,143,996,147,034,498,692,487,267,
453,875,983,630,064,086,850,591,543,329,107,339,395,735,093,005,962,239,529,
410,492,370,810,529,280,911,770,349,742,444,900,822,548,433,122,656,902,818,
992,866,269,486,974,912,268,333,458,631,963,717,750,121,948,639,057,942,548,
761,102,243,828,604,302,630,542,369,001,362,761,348,142,040,024,714,437,652,
788,922,360,877,307,446,574,255,253,992,459,547,222,276,920,181,369,550,920,
019,208,946,529,188,229,877,934,329,066,016,548,515,965,327,567,635,133,433,
427,774,636,989,977,534,447,288,325,087,436,033,960,412,587,752,553,375,022,
519,387,624,856,924,448,272,470,365,545,703,892,617,365,802,689,694,266,970,
330,133,659,653,410,898,151,287,235,640,285,422,678,414,845,940,944,355,516,
974,281,153,386,618,680,665,677,673,182,428,224,842,970,835,444,909,865,780,
529,171,049,236,028,142,265,574,726,670,392,640,556,111,773,374,749,184,299,
528,646,753,485,888,998,317,802,197,885,436,571,221,395,543,106,617,976,388,
709,069,845,204,751,963,141,656,330,994,251,188,725,524,153,508,292,260,468,
656,766,115,118,028,254,223,278,842,241,122,759,135,492,083,575,805,871,275,
678,893,728,889,868,442,787,493,942,937,182,373,640,954,531,400,136,613,485,
574,628,092,038,081,941,548,965,270,350,000,705,599,928,676,755,248,396,993,
944,463,907,944,192,143,179,723,114,624,179,090,292,440,695,968,146,938,872,
507,371,987,559,136,751,395,810,212,345,070,828,502,541,318,401,923,851,511,
458,184,835,021,593,109,746,426,627,724,470,883,895,360,452,684,832,338,883,
708,018,360,208,340,056,916,765,197,010,284,628,374,617,038,074,914,923,340,
903,403,062,457,916,069,951,352,269,155,571,651,409,464,962,961,825,840,290,
270,068,705,859,058,713,475,453,531,749,285,570,772,526,952,860,827,262,569,
350,768,303,229,970,857,868,581,788,901,237,380,803,865,207,439,310,783,079,
812,588,845,837,733,395,640,580,848,093,807,016,944,411,249,838,687,700,287,
597,456,564,639,567,890,741,573,417,345,198,413,761,149,853,684,187,710,316,
033,148,439,224,989,451,287,932,862,286,567,350,504,730,813,864,489,038,150,
539,067,201,942,225,478,890,937,948,334,790,877,272,611,238,921,626,395,509,
143,403,173,155,333,899,764,315,098,697,537,492,045,832,711,548,334,467,914,
986,415,335,250,204,337,406,976,634,533,847,675,601,208,854,069,932,921,283,
380,540,762,691,771,049,158,142,468,832,980,179,558,239,249,017,982,339,457,
886,925,964,504,953,545,612,811,927,595,822,028,937,143,836,303,777,501,847,
561,401,959,786,780,211,052,606,193,698,751,395,413,443,162,125,250,747,825,
082,142,710,798,895,872,712,289,445,682,191,464,188,275,752,053,595,718,695,
186,288,996,373,224,631,814,605,603,623,127,126,864,807,478,460,801,887,401,
806,132,414,327,708,883,875,057,707,484,956,695,882,158,771,428,494,218,980,
042,357,159,187,330,097,294,952,747,127,755,678,454,664,322,093,840,608,852,
603,667,623,790,711,400,018,992,986,878,505,150,688,255,866,500,791,104,606,
653,346,552,003,662,125,088,042,411,176,086,353,274,955,014,896,495,161,572,
961,308,186,859,229,180,560,890,328,738,742,110,584,617,805,687,454,290,292,
993,428,157,973,954,017,833,900,338,366,332,122,145,409,543,489,700,026,967,
689,593,998,936,277,770,969,504,187,609,942,965,802,587,131,355,102,213,494,
192,890,226,154,669,635,320,602,159,400,251,159,996,369,741,292,729,518,073,
025,683,269,652,794,488,174,671,839,999,712,851,195,457,442,010,771,904,909,
567,277,995,822,654,758,329,803,663,908,338,373,866,252,947,821,792,930,357,
957,845,437,064,329,482,979,303,039,132,490,973,797,332,025,932,176,825,055,
991,700,503,696,922,583,953,304,834,249,936,685,422,795,655,591,712,520,930,
964,312,842,853,488,263,167,191,120,884,061,529,705,247,251,051,602,543,839,
307,004,733,849,330,353,739,185,240,037,710,707,223,202,671,079,763,166,636,
378,732,815,531,031,758,263,286,801,983,293,175,973,808,388,668,896,214,662,
485,027,023,762,348,643,087,164,592,474,812,065,386,226,146,509,993,446,553,
389,221,829,435,627,453,831,227,324,813,308,272,515,682,062,347,007,727,115,
651,968,578,737,760,623,935,163,192,619,033,906,445,141,769,748,941,497,767,
172,284,797,074,853,814,688,198,058,033,883,783,739,039,417,838,887,447,227,
420,242,701,927,943,756,588,830,620,837,707,663,948,005,882,333,240,698,132,
074,095,122,525,547,712,894,186,972,027,172,796,386,198,642,166,820,072,888,
683,564,738,603,929,625,225,850,818,319,462,630,660,425,338,180,237,496,644,
360,611,191,490,290,250,942,271,268,819,219,396,994,169,094,528,226,948,149,
844,947,451,357,123,940,892,290,015,439,346,027,617,381,118,235,386,780,035,
658,847,633,819,960,300,321,457,501,390,387,440,907,237,751,460,644,116,749,
435,344,652,283,129,373,964,433,664,618,097,165,730,221,051,776,635,975,204,
316,827,988,253,650,330,093,804,678,026,174,941,697,496,229,586,832,508,854,
635,013,352,447,915,130,196,706,120,609,877,817,487,657,214,151,557,853,690,
510,244,385,848,893,703,786,462,704,424,722,580,380,532,641,545,058,091,417,
129,338,215,697,292,474,722,383,947,358,417,447,231,536,869,597,927,746,823,
419,828,281,634,644,812,649,541,478,043,534,188,456,867,057,031,570,118,815,
522,730,345,729,425,945,311,655,318,700,403,624,410,187,797,878,963,369,788,
926,911,092,511,697,774,322,049,510,549,838,666,770,825,333,434,300,498,387,
419,285,622,026,950,160,923,153,117,849,115,614,917,310,546,890,433,225,719,
477,885,841,348,256,786,410,589,510,920,986,018,388,739,476,385,275,762,031,
585,470,067,228,787,582,528,818,126,556,735,303,533,388,178,424,815,385,463,
902,235,635,278,119,549,419,057,892,585,554,107,705,083,802,409,343,388,017,
127,744,782,182,940,478,507,145,673,429,746,703,737,665,090,769,826,182,534,
945,325,620,202,839,051,360,238,621,425,320,118,886,000,253,736,667,944,078,
760,695,439,745,786,648,048,480,292,411,699,024,144,071,572,990,081,067,302,
031,050,607,510,640,318,605,241,510,091,265,264,487,485,652,342,137,861,507,
467,165,581,415,616,899,507,251,072,939,954,360,332,172,364,320,022,335,580,
209,842,497,797,250,345,440,159,253,927,228,243,670,006,566,451,670,887,336,
425,163,087,384,837,210,976,587,107,367,297,422,605,032,182,510,691,262,936,
108,012,529,775,454,989,493,728,234,367,463,312,081,989,307,014,346,745,459,
037,042,933,960,966,390,276,620,665,610,776,901,642,475,155,878,627,989,433,
470,021,544,009,643,312,810,146,007,784,944,337,799,536,556,839,457,563,838,
470,589,880,803,127,854,098,556,355,589,401,101,837,455,323,947,804,118,088,
006,406,095,307,327,044,444,191,722,204,935,494,821,291,713,562,832,274,278,
391,924,433,658,542,336,542,792,030,739,347,621,711,490,208,884,988,035,991,
234,052,271,553,346,091,039,606,260,094,720,309,614,209,968,660,342,065,527,
894,502,638,619,848,124,437,116,527,903,627,743,319,924,016,290,967,640,155,
203,649,081,043,099,960,181,421,404,782,294,505,287,542,466,101,911,993,693,
155,586,853,327,973,017,321,559,070,947,297,961,684,278,700,606,168,726,219,
545,110,086,839,909,067,027,364,231,340,056,411,830,174,842,238,243,046,887,
668,534,288,255,696,086,803,111,693,382,481,787,001,002,363,659,568,510,924,
839,238,815,929,050,860,715,433,840,605,688,778,263,285,465,437,304,434,427,
560,846,162,725,054,525,886,163,418,743,833,404,395,183,978,403,717,130,681,
341,957,685,695,186,932,993,002,455,193,861,223,254,230,216,366,815,770,773,
272,581,062,132,543,263,848,714,181,946,180,647,461,156,774,160,804,022,644,
412,752,637,084,398,778,360,476,664,645,425,454,220,267,538,044,751,130,784,
856,959,568,794,555,264,243,088,216,975,659,167,669,805,404,503,929,523,570,
788,647,239,152,880,919,067,224,382,625,085,159,450,918,607,595,875,735,042,
662,646,683,660,317,569,139,648,019,255,769,488,377,548,432,540,953,632,564,
097,913,598,743,039,567,949,054,593,730,261,677,055,828,975,375,678,054,008,
143,040,843,747,361,278,700,523,531,559,799,450,721,891,382,250,908,241,025,
905,572,588,046,873,807,837,790,928,749,728,273,632,595,240,468,175,686,898,
830,652,565,024,887,416,278,091,190,252,490,344,964,903,060,172,257,694,165,
630,943,275,931,070,029,176,021,406,910,373,075,871,297,765,174,792,573,327,
531,140,937,111,523,832,149,660,352,420,793,342,754,712,063,492,021,629,382,
875,436,803,472,027,308,735,154,746,934,097,983,648,610,259,136,529,301,049,
293,198,647,996,703,331,837,865,716,790,852,458,736,044,952,252,406,911,045,
907,688,126,744,565,996,315,070,261,619,401,697,434,066,605,238,656,436,662,
887,830,961,010,406,049,360,388,751,119,458,404,652,677,027,542,517,846,986,
461,284,250,085,687,308,863,853,777,005,235,103,839,322,389,803,791,037,539,
677,745,851,005,211,523,159,148,775,658,164,633,830,043,886,279,220,868,567,
125,508,434,848,471,514,200,332,290,819,985,822,679,212,188,356,618,247,724,
692,895,930,836,395,745,019,975,309,832,602,533,449,301,974,933,165,328,638,
839,689,889,075,095,917,993,158,709,897,779,486,495,295,269,072,042,922,784,
725,278,353,161,124,181,698,289,625,038,879,557,260,197,201,506,856,705,961,
355,075,315,399,581,919,269,943,953,043,209,490,029,398,786,499,081,140,110,
657,612,014,986,869,504,460,636,697,701,699,283,413,914,352,618,660,027,049,
108,697,517,175,380,773,161,338,219,350,536,538,918,710,502,667,533,531,646,
409,587,712,228,180,269,248,425,973,547,974,642,760,752,326,750,990,906,838,
798,437,066,165,362,622,996,756,760,676,263,271,366,297,306,263,212,479,934,
694,681,442,670,750,659,262,824,436,485,716,686,415,312,579,367,393,574,045,
581,200,828,858,962,324,706,825,396,662,445,596,015,480,627,182,380,723,178,
893,830,191,831,534,557,790,929,295,684,956,590,359,285,572,204,015,224,810,
244,787,903,205,854,844,314,643,244,582,231,289,741,464,784,761,847,300,170,
337,802,473,898,311,468,330,629,137,713,906,923,459,362,483,850,110,199,150,
892,147,566,514,037,963,860,218,426,574,340,335,314,991,517,051,063,124,640,
116,852,553,329,156,632,834,178,895,375,464,783,385,684,950,393,616,079,662,
561,489,870,843,005,793,755,323,837,795,660,230,834,811,398,730,322,707,884,
238,829,779,567,198,639,675,065,033,710,257,967,970,950,352,555,684,275,524,
570,118,991,839,141,723,770,531,812,457,204,966,185,346,843,241,800,631,082,
282,151,003,788,825,665,144,238,347,056,950,075,361,967,829,088,720,090,747,
072,185,839,711,898,586,588,777,721,680,089,606,023,566,731,380,436,682,968,
442,252,928,085,672,148,783,678,207,090,483,922,511,652,115,790,280,609,822,
959,524,165,220,707,812,418,712,314,910,335,827,139,906,802,005,528,023,964,
439,528,373,695,693,878,822,035,411,272,808,034,069,654,955,795,554,910,766,
740,543,841,931,405,165,897,543,387,830,026,002,277,832,157,068,810,640,646,
925,784,265,410,864,002,833,300,006,592,430,289,543,391,922,075,831,295,219,
100,740,106,548,041,142,715,045,080,233,817,861,610,827,661,770,360,560,141,
881,715,997,362,950,954,877,298,986,783,400,483,496,003,584,749,897,667,304,
827,174,231,865,350,513,463,465,207,886,558,025,403,225,061,510,091,394,220,
712,545,081,886,706,363,087,502,119,951,989,976,800,352,687,438,717,253,797,
028,788,588,575,093,258,273,113,697,813,102,459,829,423,841,144,968,800,943,
356,706,364,675,090,445,138,826,382,258,423,055,404,538,159,629,543,300,242,
813,821,571,487,007,574,569,937,058,435,573,735,063,879,951,568,097,118,295,
887,320,965,902,868,066,988,440,153,905,841,404,349,160,536,768,186,875,652,
990,790,973,427,519,385,018,919,525,890,984,045,968,333,510,826,386,787,011,
163,564,487,488,636,299,625,978,247,846,662,435,521,093,542,635,457,855,377,
687,655,748,049,433,511,456,668,200,912,741,481,897,893,825,038,645,923,056,
576,237,794,616,855,308,323,340,331,567,398,078,467,273,525,443,092,340,395,
353,100,114,546,385,639,909,495,817,235,502,698,224,412,401,688,908,669,662,
770,877,262,161,470,403,242,864,448,198,061,804,903,244,918,159,671,933,852,
029,015,115,665,638,389,361,281,556,436,866,814,620,823,980,420,034,899,112,
042,710,556,776,501,339,537,199,881,981,814,405,184,632,458,381,875,634,984,
040,492,254,638,559,499,423,688,641,898,618,770,240,489,808,953,178,867,899,
146,814,644,939,252,758,496,022,469,033,121,577,676,140,868,522,928,702,915,
700,584,569,458,440,327,027,440,925,357,060,869,720,667,974,965,195,783,128,
503,453,272,811,221,280,329,017,835,831,999,266,946,232,719,997,499,708,113,
061,169,778,005,871,013,716,559,740,601,841,356,016,584,582,822,104,552,903,
070,450,138,095,244,093,115,991,260,704,611,877,055,707,903,738,141,107,966,
295,348,036,783,689,839,555,959,690,273,693,539,821,558,460,222,110,647,396,
940,160,586,177,557,601,915,650,261,363,896,084,071,940,813,407,670,465,082,
099,358,342,619,783,242,769,321,529,463,704,136,042,482,997,688,091,784,529,
668,542,462,892,615,788,279,584,207,574,557,080,947,494,543,972,382,390,151,
047,659,643,682,747,912,913,796,416,116,907,590,279,948,688,385,682,930,326,
852,569,730,930,141,277,432,887,904,809,526,362,101,748,947,231,547,894,381,
992,407,512,189,196,391,158,980,839,475,875,856,687,527,775,944,486,736,559,
100,711,223,904,103,457,679,312,046,903,375,035,590,969,732,465,539,665,073,
179,699,613,900,996,765,368,947,955,108,049,168,522,906,219,964,656,154,553,
976,328,109,592,400,288,629,652,403,128,231,524,132,007,083,919,751,879,800,
571,927,312,908,659,318,857,007,538,158,263,204,922,966,983,630,810,285,678,
915,519,900,918,972,675,603,308,538,493,620,556,324,593,069,216,336,550,369,
811,564,522,783,888,437,708,989,955,560,498,393,713,723,758,860,783,962,004,
943,935,825,752,540,947,794,894,688,962,534,535,350,093,494,472,410,340,191,
548,432,920,307,885,038,180,698,801,569,789,558,416,624,197,996,008,300,481,
840,870,788,424,211,186,354,011,790,172,831,111,409,372,415,381,386,639,213,
660,712,006,472,882,585,593,809,461,985,508,104,668,877,871,418,920,108,421,
713,350,433,990,961,174,539,277,146,279,686,452,133,227,679,281,156,185,216,
377,794,537,965,262,061,914,363,901,111,056,585,655,775,879,596,852,263,002,
930,437,188,246,464,556,339,428,237,795,970,873,671,445,858,602,242,047,587,
917,185,152,639,642,209,120,582,062,417,169,644,791,557,472,675,781,405,476,
725,138,660,397,941,550,390,512,322,534,095,776,000,604,743,909,014,595,182,
939,214,348,247,610,737,446,396,325,161,732,023,849,818,052,894,051,996,166,
158,169,343,173,438,422,678,143,933,180,890,871,153,455,157,812,342,663,930,
240,974,239,230,975,951,649,823,767,886,564,048,605,483,303,638,037,809,471,
415,481,723,859,591,827,633,051,243,629,984,176,034,313,297,719,963,603,818,
949,151,652,050,967,785,275,435,130,591,245,256,047,235,741,727,596,851,643,
453,745,039,323,734,243,642,934,435,365,780,264,334,946,801,158,405,440,261,
922,102,321,112,837,137,351,611,528,919,438,184,662,223,471,677,711,916,559,
364,673,194,397,590,541,491,768,416,383,815,166,206,653,336,925,383,828,617,
436,079,519,640,002,997,007,898,221,632,311,063,743,195,319,901,700,704,677,
950,112,989,901,353,621,744,142,624,557,725,405,852,971,745,852,644,948,837,
931,793,189,287,144,853,838,044,563,973,262,758,103,822,472,539,665,432,928,
952,034,760,849,216,620,212,406,059,139,095,379,667,754,605,823,878,441,870,
289,744,910,142,960,361,242,286,850,294,986,545,446,518,429,212,155,772,874,
740,693,631,418,704,782,804,358,172,095,587,654,653,675,422,750,159,009,502,
118,902,737,402,115,242,333,170,139,860,141,514,054,613,368,296,343,536,632,
230,754,193,306,390,377,944,162,504,148,111,868,382,375,960,451,170,465,272,
858,608,269,410,744,517,923,220,404,240,746,060,702,359,006,566,658,663,864,
420,826,108,776,549,014,597,871,732,570,620,997,268,795,408,254,563,733,839,
319,678,089,654,593,183,663,350,031,708,005,638,825,595,601,811,792,989,664,
982,718,409,573,968,467,583,099,153,761,255,702,018,392,313,011,712,746,117,
880,358,094,870,465,653,835,700,537,280,122,531,783,586,017,125,871,093,050,
165,016,956,903,176,526,084,465,661,540,654,631,059,872,244,182,585,196,632,
708,781,052,193,502,595,101,866,885,768,638,507,668,538,482,548,845,577,036,
923,814,830,949,564,859,232,943,832,342,433,107,021,440,370,165,139,857,564,
931,155,868,221,460,251,029,723,642,343,985,743,691,291,188,618,241,854,979,
777,291,526,364,804,586,412,428,840,247,057,120,337,249,908,692,757,254,351,
419,472,499,662,059,147,489,979,480,267,078,822,892,023,362,725,899,993,699,
014,507,728,030,534,707,529,848,024,145,249,984,128,419,773,944,993,001,776,
404,813,239,029,736,215,742,992,901,194,099,920,338,136,176,908,967,543,117,
579,786,849,888,529,371,818,586,405,487,863,804,522,097,899,183,935,317,247,
438,475,810,606,329,002,521,819,196,335,131,472,605,355,921,013,552,957,799,
478,772,645,232,520,348,065,693,403,627,501,276,826,269,736,957,265,926,906,
335,132,447,398,669,431,440,813,415,617,270,403,708,233,287,434,967,790,526,
951,763,540,574,822,780,340,943,528,031,251,466,534,722,020,079,323,643,707,
504,150,577,250,332,030,855,100,930,448,821,215,636,917,206,784,928,378,920,
295,443,772,782,702,314,297,555,638,668,405,326,758,459,405,048,619,817,478,
930,511,394,747,490,101,107,136,348,111,891,029,910,188,499,283,104,349,246,
191,891,374,935,387,383,100,981,647,796,853,779,989,557,266,987,516,350,440,
769,870,114,173,274,258,321,320,390,917,331,668,775,349,481,455,184,476,091,
008,714,406,478,218,574,792,706,734,980,666,528,455,171,586,473,367,617,274,
078,435,969,255,896,859,387,425,833,411,795,834,182,899,710,767,984,795,909,
165,674,077,724,318,768,108,051,383,417,912,754,353,010,741,043,028,289,939,
227,138,363,859,153,923,104,939,333,496,071,898,356,623,872,276,514,761,699,
919,052,822,015,545,345,402,638,589,486,939,640,448,745,328,990,361,873,656,
345,487,583,717,211,418,774,657,406,803,955,675,548,030,028,631,646,394,526,
223,622,290,975,387,024,452,141,149,856,296,319,360,554,352,443,080,610,401,
914,342,961,517,896,956,636,588,005,429,451,907,993,208,710,487,412,437,352,
661,422,788,765,274,738,252,697,032,849,572,373,511,701,375,578,092,055,199,
185,114,786,192,663,467,009,761,336,476,709,682,214,860,912,040,485,145,484,
534,583,530,798,179,222,003,911,554,963,483,270,285,461,243,429,967,391,700,
344,399,932,852,754,787,371,252,595,700,529,171,709,366,620,705,824,264,711,
635,183,947,160,446,499,154,092,112,281,915,796,325,347,795,184,233,768,603,
083,073,319,646,900,346,167,606,342,488,957,051,363,465,410,151,853,220,496,
655,293,094,863,439,482,557,841,477,642,574,324,204,932,958,706,971,046,441,
725,519,155,439,637,036,898,752,396,914,385,472,975,928,217,444,426,413,363,
500,296,280,762,618,740,359,710,287,235,112,531,812,951,966,469,365,672,806,
028,770,673,212,330,547,202,588,476,357,420,195,390,577,160,106,653,387,818,
327,224,708,966,423,808,020,323,189,761,088,145,988,396,380,386,245,443,888,
571,771,276,043,162,175,952,125,302,295,289,348,923,321,488,504,949,042,140,
237,012,889,925,739,447,824,450,017,655,026,895,307,001,855,253,115,617,435,
625,646,447,230,989,512,078,480,822,843,113,493,993,534,585,201,621,905,368,
220,523,913,153,838,752,620,600,290,809,067,724,458,015,628,674,958,813,507,
271,707,604,905,844,939,517,990,878,320,477,337,105,988,324,693,584,187,496,
476,248,549,134,277,559,204,609,476,251,125,899,280,925,994,274,346,181,045,
956,382,404,744,778,033,072,606,805,936,711,781,708,303,110,783,119,448,469,
362,272,752,815,024,946,847,478,091,034,763,447,110,937,115,475,905,510,476,
657,218,313,481,150,598,762,768,928,345,261,246,178,173,969,937,054,782,706,
930,630,333,136,853,427,650,228,962,992,218,209,914,650,829,504,908,212,451,
792,812,977,874,346,032,695,461,458,343,672,675,917,816,758,875,017,392,214,
887,626,747,179,991,171,326,401,346,890,586,716,324,432,208,176,963,913,202,
578,282,983,056,685,459,698,173,244,450,015,950,777,695,580,412,835,266,764,
213,150,594,302,138,990,229,182,842,050,228,751,041,341,633,032,015,976,321,
978,675,529,768,011,014,989,104,103,539,261,746,185,492,916,066,292,202,587,
172,665,442,178,565,117,471,678,288,341,790,410,347,501,870,911,681,215,898,
793,335,447,966,255,195,263,435,622,057,552,084,824,904,109,279,929,341,122,
457,663,263,279,477,058,531,456,062,019,752,857,801,079,195,340,421,208,626,
714,061,130,192,147,181,110,941,470,082,367,317,221,824,541,434,731,528,766,
537,528,691,144,788,049,458,694,189,527,202,687,845,925,716,390,317,812,847,
323,390,027,384,061,006,918,875,616,301,228,320,567,736,371,348,838,866,234,
050,775,543,482,155,417,165,695,793,662,496,100,383,962,408,210,926,735,753,
749,533,928,050,787,251,792,017,394,365,598,287,890,218,101,695,310,240,901,
779,425,742,550,373,500,808,184,732,322,369,613,856,203,701,218,297,070,816,
595,285,509,081,461,983,241,429,330,872,777,975,797,296,108,023,270,194,244,
633,220,246,164,222,338,473,472,816,462,624,168,548,318,304,289,943,228,012,
579,998,521,218,127,041,543,459,260,541,904,595,187,132,765,410,052,282,623,
841,156,498,469,108,722,348,376,952,448,492,502,859,250,579,824,249,713,393,
868,879,837,548,972,050,353,128,359,762,086,541,248,428,954,372,870,758,315,
628,880,295,451,959,393,844,992,833,140,735,602,413,405,865,146,610,379,229,
622,474,274,228,928,484,206,574,016,250,060,711,679,246,733,347,452,429,553,
214,375,244,599,736,106,139,671,373,096,818,905,025,533,876,681,092,685,919,
756,736,818,488,933,351,888,304,526,471,574,512,468,444,566,923,687,734,562,
215,389,540,125,912,463,547,021,972,600,097,374,047,103,213,620,783,199,780,
947,274,492,389,933,178,043,919,297,362,431,079,060,790,599,716,059,255,716,
828,781,112,917,466,985,922,648,731,681,611,364,414,044,171,758,139,002,280,
397,701,135,166,491,008,079,797,690,489,705,493,584,904,885,204,846,243,174,
783,130,158,110,972,463,171,134,098,586,738,513,908,621,446,963,849,217,684,
232,388,701,611,859,428,466,415,000,718,961,036,471,428,388,674,242,782,777,
790,432,517,313,163,832,188,462,131,846,784,542,526,455,913,256,289,672,874,
412,206,224,483,611,931,793,018,182,835,386,808,240,721,647,793,548,234,751,
585,095,869,261,624,713,046,694,267,578,227,791,241,363,240,401,414,914,213,
166,507,662,048,301,372,065,940,330,305,859,913,624,369,422,795,081,011,377,
605,167,256,893,336,903,512,387,415,030,820,911,086,136,971,882,188,643,153,
921,852,141,971,239,734,880,735,151,374,156,300,096,544,978,683,012,386,795,
546,323,860,873,559,585,544,449,208,129,572,143,329,474,562,115,603,523,460,
596,485,544,070,122,104,639,359,475,122,467,495,271,386,072,338,773,713,529,
295,573,899,544,112,526,931,518,410,919,037,308,930,482,316,136,478,172,290,
970,680,667,405,406,800,498,045,187,855,727,570,551,638,676,044,896,914,006,
471,594,786,636,182,147,873,443,614,800,749,316,699,340,506,354,183,780,839,
358,120,020,653,892,382,643,433,507,986,448,421,020,664,651,957,768,124,239,
209,259,876,452,548,647,502,579,489,137,997,106,413,411,480,228,156,851,278,
905,589,723,863,822,573,059,061,437,016,956,470,289,058,506,828,295,773,548,
876,882,006,206,793,149,362,849,871,658,681,229,867,791,170,640,866,689,861,
627,731,817,332,411,386,213,006,376,677,649,968,771,717,257,187,869,588,776,
367,101,204,391,290,863,504,482,531,163,006,025,543,649,101,953,844,154,987,
185,513,710,696,687,473,259,502,639,725,213,482,889,034,347,860,795,896,179,
459,851,933,562,721,985,444,730,212,843,875,731,071,567,147,667,895,682,199,
211,961,259,086,476,329,961,238,280,746,570,714,224,097,453,227,128,874,809,
437,743,440,575,663,909,685,999,880,256,941,217,514,346,790,363,107,852,632,
425,801,052,967,225,729,045,377,746,883,911,651,507,813,116,059,337,833,873,
050,518,573,880,466,968,128,343,294,355,548,784,061,392,441,123,412,694,200,
550,921,453,733,786,365,534,430,636,225,719,593,650,497,791,456,335,843,438,
677,881,074,162,198,812,726,972,480,845,828,905,672,867,716,569,327,151,796,
370,138,252,881,035,347,779,897,397,870,809,604,832,596,176,475,119,483,024,
142,634,274,888,113,066,499,383,128,558,891,294,408,229,662,278,901,878,914,
563,266,534,276,044,414,841,558,741,037,948,507,169,311,346,868,998,493,309,
691,123,730,778,076,314,926,458,662,985,576,303,125,908,960,540,419,687,903,
151,601,384,407,715,214,151,545,325,384,900,931,441,403,362,675,435,623,673,
869,848,679,336,773,050,785,674,153,560,618,387,308,664,913,697,459,538,706,
485,195,078,892,806,276,916,479,838,057,792,930,081,896,143,690,321,358,254,
780,975,576,325,873,394,384,976,442,018,475,668,942,994,036,899,672,914,285,
845,813,915,420,291,186,190,089,434,021,235,964,088,947,007,958,075,168,801,
352,126,945,497,228,891,394,599,896,663,123,386,287,120,090,946,613,934,685,
348,204,201,179,897,470,711,973,269,052,050,703,097,612,405,568,216,000,638,
191,270,337,539,764,469,649,542,555,594,414,727,219,228,794,669,354,381,925,
274,020,593,794,057,385,709,553,479,381,925,775,946,839,539,535,251,850,045,
539,806,171,498,147,891,874,970,561,633,827,328,847,519,621,598,223,653,285,
002,069,376,470,143,855,004,668,293,330,137,424,175,246,506,828,637,398,441,
127,233,411,560,760,269,558,922,729,066,881,887,852,130,760,299,606,943,810,
158,285,332,909,129,066,877,793,089,683,076,179,532,712,431,820,119,106,849,
281,709,862,168,604,706,121,664,040,837,063,369,707,576,771,434,906,030,562,
398,128,892,209,578,385,715,160,316,702,223,611,378,035,802,610,854,800,606,
187,936,615,750,603,317,018,417,935,349,433,512,359,699,859,064,900,464,483,
884,569,707,884,398,036,679,701,481,904,040,584,202,769,217,473,652,528,740,
784,630,797,743,266,016,567,543,933,330,302,492,100,306,888,300,653,296,585,
924,735,748,808,005,102,558,998,466,708,292,462,918,654,687,112,235,731,961,
187,769,717,969,773,281,730,715,404,395,594,388,038,535,896,212,147,268,215,
574,834,058,065,207,209,041,610,867,510,835,617,017,434,155,798,678,912,550,
830,219,513,890,157,452,750,755,986,016,153,400,986,634,322,310,766,795,278,
342,548,979,958,020,224,287,140,629,286,118,267,221,392,267,560,855,076,599,
158,396,511,849,404,680,033,070,585,006,756,664,283,446,674,794,092,052,344,
264,897,058,099,444,052,758,769,006,608,777,733,682,530,019,443,143,954,969,
299,775,867,565,712,836,033,421,957,774,192,982,561,550,046,160,444,508,927,
436,469,154,839,431,782,682,524,432,031,193,001,962,796,782,698,567,232,734,
103,343,305,979,558,434,664,965,529,149,858,160,936,845,393,191,387,159,750,
094,138,008,260,340,951,306,774,322,293,858,827,489,268,092,352,710,239,329,
657,413,697,907,913,376,945,878,768,867,656,502,435,122,887,128,127,876,788,
218,980,608,357,376,685,320,987,960,846,241,241,967,698,392,108,947,030,859,
790,810,230,663,133,317,900,552,857,082,766,474,276,367,841,756,411,297,331,
456,173,795,765,556,371,806,960,766,370,311,581,920,537,610,464,407,096,752,
591,718,860,330,621,852,407,338,824,529,277,045,378,435,496,008,529,683,584,
484,728,851,476,920,388,891,148,308,899,630,435,421,403,911,620,293,634,637,
740,125,473,136,320,132,088,955,378,414,512,134,413,375,801,729,603,209,728,
272,790,923,841,943,682,518,446,717,168,143,182,139,519,595,402,237,537,547,
593,672,042,386,301,646,062,415,002,726,625,103,729,639,724,782,310,777,762,
339,398,061,374,270,711,227,261,194,586,178,407,188,686,760,034,244,503,339,
417,182,636,409,421,842,845,052,406,673,408,502,431,565,618,781,597,684,708,
895,373,900,053,447,781,560,029,786,029,573,924,818,777,390,089,301,013,074,
114,347,893,061,111,100,596,725,895,996,882,986,440,552,362,522,585,911,129,
599,907,741,188,699,307,569,649,865,011,118,936,633,900,802,529,107,573,471,
218,054,529,618,677,366,970,239,297,295,242,174,024,064,465,612,299,949,496,
839,880,780,109,238,605,734,576,322,051,711,116,146,719,284,967,749,689,269,
312,283,014,944,050,229,915,295,728,919,212,520,639,105,822,335,687,774,074,
666,505,948,864,753,383,668,173,209,402,752,354,454,973,082,718,220,503,492,
662,083,577,201,138,142,782,417,791,800,698,272,184,365,957,575,544,161,760,
077,522,759,838,230,341,830,509,360,506,272,011,765,776,679,478,122,441,754,
542,383,254,934,118,917,796,989,620,103,573,601,356,684,963,535,825,828,747,
509,935,923,395,084,449,780,096,043,390,015,761,775,787,681,396,821,964,188,
155,498,951,855,360,459,809,830,431,826,510,970,884,505,491,166,269,095,336,
992,631,029,813,854,912,961,172,121,609,845,251,932,323,693,011,246,025,749,
882,789,826,298,227,377,005,644,292,967,602,375,870,503,963,134,176,214,359,
684,085,935,401,435,496,064,673,803,999,925,175,893,120,605,725,970,476,514,
415,146,073,673,219,913,092,905,121,496,729,281,357,193,124,065,834,037,209,
644,272,842,398,817,741,288,582,381,879,152,184,927,799,692,300,870,897,230,
608,500,304,487,314,509,205,435,224,923,422,698,167,195,976,951,535,019,513,
275,361,648,644,260,144,052,276,444,006,992,001,368,961,401,476,389,369,805,
408,060,131,985,841,315,923,916,595,299,527,147,139,332,955,217,668,056,456,
713,372,418,162,198,466,017,513,162,785,416,132,050,758,850,264,708,959,769,
650,709,750,868,940,386,001,109,010,395,819,042,948,347,844,333,911,451,332,
872,893,840,097,750,121,169,442,901,004,977,713,828,427,350,079,138,383,349,
601,870,357,588,160,321,414,212,070,398,636,174,163,551,656,175,255,348,018,
588,994,716,551,641,801,621,036,231,996,293,674,129,027,935,353,767,746,826,
033,668,106,716,433,241,563,923,919,586,439,022,502,529,727,556,309,531,565,
014,173,583,271,066,436,206,028,749,898,733,598,622,654,881,657,060,414,720,
850,840,878,112,286,742,694,231,178,463,192,092,292,819,710,695,364,947,457,
262,513,194,755,277,362,230,528,903,619,137,679,025,543,381,676,640,519,064,
263,255,266,104,807,996,033,980,531,144,586,158,403,098,524,386,473,189,531,
899,129,317,215,977,500,062,077,191,771,561,462,279,385,807,667,414,714,371,
960,244,538,113,728,116,656,878,766,422,306,595,943,402,333,642,245,724,816,
898,854,035,405,964,094,276,812,334,164,864,158,377,083,186,742,605,040,878,
020,639,501,521,109,536,754,135,475,595,580,743,149,075,677,062,963,544,483,
775,488,490,792,662,690,812,068,816,389,102,035,263,888,894,919,871,054,110,
857,219,033,500,058,545,204,721,780,877,079,939,143,975,212,645,607,553,119,
818,785,421,779,032,888,610,491,112,893,914,820,486,732,059,477,575,098,062,
084,508,660,601,073,948,227,272,907,941,688,902,956,337,136,275,810,656,425,
505,427,178,894,178,519,134,926,698,322,659,324,207,172,260,793,658,820,953,
772,175,464,389,669,441,602,489,718,318,184,879,140,869,280,344,362,376,880,
176,906,312,946,945,018,360,038,602,561,486,828,195,100,898,276,726,157,334,
000,801,403,215,090,925,523,446,618,276,048,721,094,147,866,730,969,921,193,
279,762,937,442,886,226,160,183,710,722,852,470,963,522,702,001,954,414,167,
666,828,613,132,681,032,619,586,661,570,588,875,971,306,131,456,718,374,991,
984,012,481,377,455,993,256,649,234,164,611,250,135,476,204,898,363,144,343,
474,380,024,951,490,912,035,325,866,140,394,068,505,134,019,147,402,916,251,
163,802,086,240,882,914,416,099,963,670,445,032,591,650,340,199,804,803,046,
865,143,796,307,116,270,132,776,877,694,849,316,182,794,867,551,914,298,264,
320,906,654,913,073,667,920,575,150,279,083,663,206,649,994,309,696,180,206,
640,280,215,054,311,244,344,428,683,872,639,025,055,339,721,598,625,069,532,
647,549,005,433,730,447,290,887,176,924,399,088,111,078,023,883,120,067,413,
179,932,296,497,828,823,865,783,008,633,873,144,282,728,718,617,951,036,294,
713,941,023,975,535,526,565,950,063,801,070,713,569,782,722,905,643,959,780,
921,768,182,386,706,623,953,414,666,594,417,678,009,820,472,860,761,908,438,
572,701,449,061,576,732,519,985,160,404,142,337,558,141,449,643,993,957,334,
248,040,810,898,907,571,597,633,699,327,488,704,267,134,966,411,103,646,066,
927,130,643,351,683,285,273,670,172,000,254,101,529,214,067,601,903,650,236,
303,402,070,657,293,130,258,631,607,771,713,192,620,944,339,214,661,596,679,
990,783,302,368,828,313,461,662,566,719,106,341,707,377,572,605,964,296,641,
262,790,608,555,638,648,512,751,020,752,873,438,891,522,257,304,726,262,180,
796,313,085,862,374,567,223,475,673,161,060,698,936,688,083,901,177,861,962,
499,273,539,634,959,913,616,261,409,075,795,096,598,500,971,215,039,337,828,
921,438,679,263,490,129,209,034,771,375,626,512,128,842,203,944,577,882,940,
594,415,604,131,490,640,965,568,934,793,852,763,947,409,077,058,255,698,096,
646,309,146,596,391,589,932,838,100,855,668,980,980,407,289,387,257,452,793,
727,320,798,136,177,211,915,382,130,806,991,392,794,688,223,920,629,787,052,
400,628,856,330,319,837,348,459,282,174,169,097,006,362,119,725,904,766,101,
887,745,268,949,266,853,365,089,705,767,076,160,353,079,470,969,354,683,212,
635,880,538,038,207,153,036,114,391,250,713,051,644,722,469,402,922,188,534,
020,192,087,705,258,639,609,796,946,268,698,362,939,120,204,571,226,829,658,
807,685,443,709,798,278,650,546,591,045,574,411,949,842,477,661,224,273,107,
906,411,907,261,056,374,961,263,354,959,478,794,507,713,483,507,929,837,211,
799,715,845,826,222,834,363,655,563,715,415,705,814,350,127,063,205,521,087,
538,709,395,589,587,303,185,163,304,683,605,590,753,119,209,497,086,887,627,
620,349,643,702,571,905,947,472,139,989,438,833,102,747,866,306,832,790,172,
706,536,715,748,235,843,576,063,815,515,406,058,828,346,005,513,075,078,691,
137,414,688,849,001,394,171,458,935,487,989,318,539,576,756,776,295,815,324,
514,103,202,243,763,408,847,402,995,044,358,663,140,856,757,389,816,246,998,
647,909,452,960,560,893,918,738,456,121,946,975,839,460,327,661,814,721,348,
730,966,142,275,925,540,155,733,087,211,363,530,393,207,903,597,000,279,443,
611,853,165,435,354,392,501,415,855,928,150,988,126,042,317,438,949,722,296,
521,832,534,892,974,586,990,790,960,697,189,374,467,260,139,404,616,796,108,
593,409,744,120,212,607,321,185,203,429,087,199,679,758,119,339,852,237,524,
375,055,822,220,597,174,068,330,076,747,026,048,795,081,940,622,351,135,791,
676,232,699,617,999,491,800,442,400,805,769,104,689,960,184,881,647,528,292,
825,984,299,348,071,399,652,980,545,058,505,932,135,922,759,396,339,579,779,
068,567,369,121,799,369,802,329,047,936,810,392,279,957,998,800,275,355,046,
860,292,163,400,089,300,802,573,065,519,580,632,210,724,376,794,574,349,558,
411,131,490,020,453,176,655,193,272,009,369,661,783,112,757,864,263,850,258,
926,492,334,995,113,078,485,337,674,322,301,621,529,199,602,446,600,468,881,
241,339,233,209,077,630,737,892,531,988,281,712,840,289,815,394,645,906,676,
988,503,168,334,407,154,105,287,257,346,546,609,389,204,008,948,238,087,028,
391,624,971,287,969,978,191,586,014,678,716,102,420,687,160,644,614,809,360,
189,495,371,148,881,644,599,208,517,480,656,910,288,899,452,836,821,960,109,
787,744,670,654,949,102,205,489,436,339,414,736,814,353,624,925,638,479,963,
437,458,737,606,010,931,675,221,626,956,165,837,997,753,505,837,301,577,389,
847,391,897,497,521,136,176,490,475,297,864,756,314,822,751,351,308,692,579,
219,929,467,718,771,537,398,307,378,964,984,957,388,500,647,752,645,639,336,
027,641,895,745,762,639,853,251,477,358,474,368,253,264,942,951,904,691,272,
376,745,163,316,772,175,581,713,713,748,441,109,454,746,846,421,519,244,816,
523,001,763,728,145,052,529,155,134,356,331,707,306,531,627,022,749,753,391,
880,948,898,968,166,731,100,161,889,360,264,083,697,686,378,208,842,425,425,
498,352,111,590,163,988,420,654,840,799,940,925,305,960,250,051,812,294,872,
540,186,549,047,629,324,089,127,661,602,013,623,701,407,232,696,658,486,775,
011,435,065,478,609,235,302,585,125,084,822,079,038,226,789,342,244,839,861,
459,057,788,550,106,957,218,130,627,763,499,029,757,671,506,958,566,819,807,
614,443,092,524,498,998,729,814,767,595,006,042,163,775,809,563,984,423,327,
811,507,226,004,913,156,917,728,499,087,361,274,520,515,577,435,946,086,079,
639,696,371,520,146,987,224,855,516,085,653,268,308,665,951,112,140,683,571,
712,635,679,736,169,163,262,335,106,223,178,842,877,914,111,037,197,679,431,
548,478,683,624,543,565,350,910,053,718,654,397,862,107,368,060,583,977,088,
622,170,306,926,527,464,392,301,763,379,575,897,147,022,908,236,208,708,913,
931,486,961,118,616,235,547,602,028,467,719,763,736,778,595,101,762,795,886,
680,222,217,177,007,659,641,824,316,381,723,866,436,134,228,549,421,259,806,
372,302,508,003,632,857,201,994,976,067,971,326,039,593,776,065,310,272,824,
747,842,011,888,352,706,897,981,242,549,196,851,203,853,358,248,447,667,349,
151,264,305,693,227,620,156,117,018,974,469,297,685,462,398,980,402,210,541,
320,719,540,240,166,764,748,292,764,336,188,560,491,574,886,077,378,778,321,
996,029,699,920,639,081,974,243,355,885,515,389,496,284,045,346,429,074,563,
881,820,043,754,549,848,352,068,234,298,915,923,393,628,876,164,362,795,780,
653,862,668,012,361,918,656,676,845,036,206,874,962,856,101,142,603,974,363,
599,068,682,240,157,382,662,036,054,612,817,093,019,960,809,920,917,414,140,
233,782,353,592,588,774,618,911,023,086,281,160,468,959,775,556,366,515,480,
917,098,393,719,904,198,430,257,323,037,991,855,923,281,793,386,671,562,502,
392,871,803,427,243,170,065,409,958,921,399,602,167,399,821,986,829,949,318,
968,609,726,424,916,910,102,899,199,863,474,652,413,956,420,832,868,644,633,
923,322,284,500,142,043,069,997,652,306,047,988,905,524,115,486,139,616,533,
739,975,307,930,821,303,177,557,449,804,499,553,015,073,905,287,023,815,348,
157,987,909,485,447,912,219,762,909,524,514,206,593,014,430,482,215,183,832,
265,618,400,639,077,917,222,452,156,346,575,409,036,020,555,843,389,658,397,
123,097,048,694,165,171,511,877,937,275,152,744,719,320,864,538,587,013,514,
420,622,340,235,457,340,894,397,814,063,730,461,404,333,432,641,023,426,079,
077,965,162,037,327,818,022,297,785,783,370,786,749,372,229,824,301,931,818,
600,390,129,888,159,095,313,720,355,103,182,778,590,273,654,655,771,485,360,
850,659,748,460,863,967,303,876,252,591,613,153,005,498,240,205,968,875,377,
981,021,731,530,424,604,179,446,373,235,541,992,964,657,998,593,298,078,328,
167,408,011,834,652,315,920,166,294,922,131,142,015,029,800,442,524,105,868,
161,800,570,181,195,708,199,236,078,869,347,652,670,742,212,899,323,710,031,
355,543,857,569,381,918,464,129,504,593,097,323,268,033,988,005,470,055,106,
342,057,912,901,525,210,917,379,933,982,148,274,001,647,638,368,041,516,579,
006,102,842,481,165,911,855,800,610,221,539,713,427,447,563,848,524,161,697,
178,063,969,894,138,628,632,647,345,181,203,050,674,214,767,159,668,020,613,
894,282,128,738,643,099,438,181,501,911,731,240,713,248,770,975,727,499,340,
758,196,426,474,550,369,370,881,114,028,971,161,333,819,198,358,204,665,090,
584,587,591,969,366,238,434,155,928,063,801,083,578,860,770,721,831,156,782,
835,510,836,292,801,362,635,785,722,055,486,731,714,860,521,632,554,175,536,
436,050,243,178,303,216,638,248,325,442,839,384,331,174,038,494,881,407,049,
250,468,502,543,151,758,663,164,156,680,778,510,216,694,524,411,173,770,995,
674,774,969,533,055,008,480,243,883,382,146,452,457,303,933,848,223,881,031,
779,935,958,537,087,818,330,150,606,483,298,888,925,942,444,878,143,828,442,
228,360,630,825,735,513,982,642,426,914,154,874,809,670,335,407,658,789,638,
068,858,738,964,870,214,260,455,162,473,095,683,422,954,862,402,684,923,364,
689,273,276,158,869,424,997,053,886,922,750,814,386,770,450,778,741,671,032,
635,801,586,972,333,874,817,531,678,495,794,935,252,075,401,311,600,878,052,
280,828,846,550,156,475,502,519,813,046,885,812,123,877,303,061,156,886,103,
081,377,856,105,444,923,425,145,296,700,663,347,989,335,875,238,601,870,497,
543,290,611,338,883,503,791,430,223,659,090,844,686,763,051,139,445,390,757,
725,621,771,501,867,017,910,755,675,005,104,721,509,375,594,671,027,864,526,
595,040,583,454,546,302,881,467,574,865,025,017,527,737,262,816,755,938,156,
011,672,830,920,676,881,808,027,826,034,613,347,303,140,997,497,717,470,671,
086,478,998,779,970,419,873,959,116,192,913,357,377,515,233,197,844,692,721,
338,977,369,275,250,428,364,262,505,588,304,252,162,401,209,024,341,039,839,
270,663,196,669,665,170,758,635,149,513,190,702,830,247,157,014,758,702,045,
921,598,234,372,454,493,824,814,328,464,101,588,900,759,016,502,564,887,028,
882,123,316,681,999,891,635,296,725,321,329,771,350,959,725,193,982,620,245,
815,477,809,920,295,844,059,576,609,500,449,869,499,257,183,673,835,594,640,
607,346,291,636,668,366,144,589,293,288,352,047,217,957,209,632,649,426,624,
707,640,470,757,762,600,825,617,803,909,267,776,048,880,245,287,063,074,533,
659,685,524,756,555,516,123,722,385,442,097,491,419,202,061,612,634,498,523,
954,573,214,622,402,138,405,694,017,819,842,161,607,205,427,105,573,171,898,
599,662,249,946,619,035,234,167,220,838,125,481,754,550,497,797,426,163,574,
142,694,160,386,417,513,863,477,055,392,555,533,801,224,102,821,277,956,688,
635,573,809,610,373,752,117,137,825,641,207,153,426,499,855,829,797,743,706,
414,264,955,210,055,247,771,470,419,555,911,108,223,731,137,613,953,423,762,
827,637,079,056,529,166,245,175,634,951,127,338,211,943,774,969,895,607,733,
027,827,938,154,913,916,751,969,081,485,145,526,953,542,171,617,416,204,730,
412,236,783,340,532,969,646,046,069,648,278,351,852,149,653,331,913,267,773,
389,912,462,151,571,344,948,608,805,083,555,401,563,210,042,268,252,157,875,
461,695,647,205,874,953,316,302,275,438,032,100,569,409,962,009,708,014,531,
260,488,873,392,880,720,206,262,524,247,064,084,005,221,801,814,695,978,424,
922,521,898,973,716,783,892,697,879,699,373,761,875,802,833,448,767,025,617,
066,496,170,970,651,739,938,282,199,071,450,470,208,711,729,103,293,139,063,
298,397,982,976,844,123,272,063,146,222,602,733,665,871,090,989,181,830,094,
387,614,753,383,955,190,862,440,968,822,284,688,104,253,367,103,139,727,918,
998,807,048,488,324,209,628,572,969,787,710,534,865,359,678,972,096,360,234,
169,372,747,286,575,753,500,448,015,259,582,119,201,139,616,611,594,882,702,
808,342,324,452,077,191,870,129,757,060,868,566,135,941,823,833,034,443,033,
369,133,045,845,160,334,033,630,481,356,213,633,440,849,309,570,224,618,864,
201,699,120,662,143,021,804,201,436,075,884,635,462,617,997,050,786,124,972,
683,556,918,653,413,151,521,504,185,881,469,643,638,515,302,516,573,613,842,
589,663,487,412,460,517,265,414,409,540,665,231,808,884,246,511,896,897,937,
047,501,289,511,113,133,279,102,449,679,588,636,708,931,735,175,263,726,730,
374,757,331,919,027,632,812,417,397,681,963,997,574,078,109,540,230,595,835,
208,775,261,753,655,420,040,098,477,517,039,665,509,426,221,679,982,681,470,
181,682,683,125,913,480,207,126,281,908,805,330,407,653,057,886,791,786,804,
947,051,752,996,345,439,132,331,958,798,290,634,789,456,525,146,892,797,035,
232,913,891,562,407,500,713,990,650,262,772,781,292,227,682,982,887,657,253,
287,575,316,843,785,264,579,040,634,342,629,298,332,538,047,923,285,223,459,
110,602,184,813,203,968,292,213,964,687,566,493,096,545,787,694,849,886,036,
044,070,858,621,423,841,011,224,815,784,599,855,650,924,341,965,435,081,367,
525,997,332,907,607,391,320,713,961,681,218,361,149,497,336,017,979,424,325,
817,485,495,810,186,907,610,023,274,860,459,589,164,631,804,624,408,082,206,
613,095,987,892,457,367,417,969,845,042,773,600,534,845,323,631,846,906,885,
183,240,388,918,029,736,624,276,197,378,360,333,855,842,233,183,550,746,738,
236,941,144,770,852,519,012,876,426,429,584,074,928,426,951,550,253,368,552,
682,078,353,474,706,126,085,061,967,358,717,266,047,157,037,737,624,840,052,
543,736,991,113,275,450,331,234,911,736,007,006,993,648,849,730,873,442,863,
955,599,574,517,734,559,381,250,805,552,310,096,280,696,482,478,102,136,419,
590,007,071,411,310,551,449,255,380,140,600,601,268,923,233,786,954,168,154,
911,203,801,907,091,247,151,538,328,098,579,803,676,682,069,594,034,108,499,
655,070,399,827,062,681,000,719,475,124,592,925,641,260,189,765,691,905,472,
191,127,984,918,179,019,803,574,194,634,192,104,619,536,705,853,441,750,938,
490,573,473,418,710,420,098,109,474,262,995,973,029,443,437,556,756,223,569,
994,407,465,627,731,293,333,509,002,465,887,209,637,727,002,367,593,678,220,
134,424,100,053,955,641,994,665,116,320,938,056,457,319,763,809,651,824,426,
043,061,353,862,033,086,892,284,076,156,412,545,066,517,617,889,392,817,681,
290,673,897,430,746,167,081,974,097,676,895,659,611,795,137,904,106,706,446,
683,185,099,308,592,112,111,112,195,770,866,831,958,005,101,274,352,147,631,
969,322,126,111,695,815,846,977,154,330,758,665,175,348,639,903,513,008,279,
572,683,303,662,259,516,030,072,792,213,933,493,830,307,416,685,597,598,729,
066,038,701,932,712,518,609,896,807,074,027,589,883,846,899,677,873,994,536,
250,517,990,892,466,258,055,234,975,320,562,577,914,672,636,474,564,725,416,
818,388,071,633,380,770,754,391,219,903,714,142,759,752,677,297,306,811,789,
174,451,540,518,058,341,863,913,078,470,615,249,991,345,389,332,085,193,225,
345,100,318,473,585,597,268,602,886,321,417,123,706,444,732,926,370,404,385,
624,006,051,795,853,800,646,712,284,701,164,445,664,192,673,383,508,201,683,
787,015,657,909,609,088,310,378,675,981,651,797,982,905,850,308,349,660,338,
042,380,159,167,711,595,910,284,526,318,451,078,327,350,458,371,808,866,827,
867,719,367,787,204,407,583,171,862,552,872,305,901,712,821,644,137,275,380,
181,594,427,078,772,422,579,368,790,005,816,544,696,611,070,359,160,774,868,
235,018,606,842,667,330,409,454,657,507,926,452,597,514,753,456,176,511,414,
907,966,401,824,220,246,260,986,914,513,092,726,017,993,530,001,439,397,437,
098,068,372,276,777,916,575,232,495,066,008,223,588,544,270,969,789,861,633,
054,879,111,869,866,695,422,524,808,744,181,971,835,329,918,270,073,150,161,
507,326,204,213,153,505,384,907,767,126,301,429,040,055,563,174,877,825,094,
592,890,324,125,851,262,240,082,539,572,790,498,154,304,117,998,352,741,368,
600,161,688,774,092,255,294,154,576,883,898,076,542,051,792,059,577,621,017,
912,091,940,464,974,330,974,358,363,982,322,560,685,047,338,187,040,002,401,
351,352,418,625,765,423,179,840,268,503,169,484,469,506,943,131,548,229,084,
213,675,457,894,397,667,977,368,736,946,169,987,376,064,226,027,504,787,053,
221,480,783,122,648,663,436,001,964,009,958,363,655,394,205,316,200,616,840,
681,313,561,835,472,823,597,212,948,875,524,570,470,555,821,012,268,649,932,
547,268,111,751,939,589,254,564,977,668,603,123,307,200,357,664,166,480,606,
545,680,661,557,691,961,142,612,428,567,303,554,339,219,490,831,009,086,302,
315,847,326,298,890,076,441,474,086,621,214,809,148,939,284,477,965,955,793,
031,367,366,849,282,518,368,136,689,877,041,261,950,869,698,437,844,968,380,
381,878,421,741,596,612,520,734,681,733,893,893,038,809,539,705,987,723,973,
730,346,974,738,473,282,415,798,599,035,628,711,019,450,668,094,472,625,231,
815,102,869,345,538,749,712,566,565,722,577,547,921,979,617,943,590,860,673,
920,062,568,149,570,749,502,815,849,295,368,118,348,757,245,827,206,700,916,
666,208,309,767,143,863,199,121,428,756,176,934,509,634,529,679,759,314,373,
896,633,251,387,042,114,579,777,605,153,731,106,405,448,332,815,866,718,578,
251,859,007,817,304,876,508,544,078,573,042,401,787,054,888,350,084,649,536,
375,405,824,802,859,436,673,822,767,449,392,390,826,357,435,676,171,373,392,
413,344,159,499,270,648,064,227,156,479,686,924,432,238,276,588,316,756,567,
176,542,398,146,336,927,659,543,608,832,366,003,264,109,609,831,359,849,522,
069,664,951,951,681,022,473,841,685,055,401,799,644,607,440,004,076,133,273,
041,576,132,184,389,394,721,578,035,747,918,071,206,389,044,814,835,079,755,
755,737,102,175,934,568,695,123,702,396,124,590,660,623,257,479,886,331,594,
689,761,068,451,185,087,277,509,891,800,035,875,153,192,436,102,463,628,996,
104,925,282,820,828,658,294,692,142,693,741,856,803,643,105,324,944,775,365,
830,180,776,312,660,312,236,747,138,152,272,355,192,314,287,240,213,117,184,
122,200,946,649,039,029,446,463,092,910,125,798,699,943,863,262,033,852,535,
054,232,720,079,333,685,797,915,530,265,605,034,526,448,652,920,356,864,869,
930,918,411,086,560,633,027,620,015,758,549,029,994,243,735,807,797,547,874,
258,059,395,493,208,432,999,992,732,310,849,014,502,547,682,403,181,859,773,
310,999,710,893,578,296,752,313,691,632,147,649,857,497,339,010,353,616,078,
924,412,402,859,727,542,610,191,437,198,299,155,323,748,033,527,189,396,932,
723,107,859,437,335,447,443,899,778,732,485,600,558,195,071,450,886,359,201,
399,726,479,838,687,972,174,472,565,423,799,181,596,422,966,259,696,196,401,
228,634,035,964,269,836,473,608,900,897,743,364,579,199,177,995,632,348,479,
652,867,893,117,256,272,288,161,801,107,544,053,593,619,152,208,237,132,349,
275,348,071,511,184,406,843,242,618,748,670,541,682,231,137,002,230,846,722,
498,870,426,952,606,126,397,570,412,131,033,005,468,399,902,432,574,604,141,
249,797,721,774,720,981,120,079,933,245,313,979,749,229,181,260,527,967,802,
703,544,168,821,023,485,219,315,568,889,535,775,858,917,678,213,602,833,078,
273,582,718,376,568,573,956,230,232,620,274,104,493,137,013,896,458,655,318,
791,993,276,977,766,717,082,068,788,616,557,164,580,888,417,212,386,067,764,
136,468,310,510,193,145,765,255,643,418,326,070,840,294,151,063,155,640,612,
141,775,798,147,503,623,521,297,659,641,827,000,839,895,484,013,581,186,884,
762,103,173,592,072,179,972,481,572,357,267,792,043,656,072,292,354,940,147,
437,607,501,420,735,583,350,419,484,166,581,694,896,513,490,144,364,688,212,
775,955,012,602,479,351,403,266,952,106,042,894,210,889,454,641,772,383,644,
758,794,631,878,574,847,840,177,562,969,180,681,590,027,121,299,984,009,529,
186,958,286,606,031,918,488,589,734,058,610,422,642,091,463,148,452,181,174,
546,273,011,369,107,657,011,564,926,618,259,842,795,993,962,538,742,860,221,
915,678,734,624,385,451,370,280,030,944,413,206,893,146,207,036,127,684,801,
602,602,636,090,137,401,633,581,712,909,995,793,255,404,084,323,530,247,545,
929,826,940,589,903,794,712,432,868,245,440,338,876,910,096,092,291,086,222,
739,405,017,940,654,218,044,790,711,225,358,163,993,552,489,733,911,055,703,
758,554,294,682,159,965,122,326,367,627,443,689,823,503,207,539,042,866,118,
881,195,308,933,936,673,960,314,224,771,778,817,264,301,722,667,547,660,541,
647,878,255,772,316,661,189,205,171,421,999,788,883,259,134,776,988,799,521,
455,006,002,840,183,293,230,385,365,976,452,722,969,198,550,543,085,155,776,
701,583,460,760,136,222,838,542,888,562,086,360,877,083,433,937,173,801,059,
587,808,123,103,749,304,559,197,705,615,583,655,809,407,000,580,186,588,344,
253,176,324,247,419,429,201,736,662,115,845,409,010,692,510,206,976,522,289,
407,583,630,144,131,133,182,389,062,762,227,322,446,033,561,557,841,190,206,
440,559,511,227,678,037,466,194,123,858,768,572,680,652,143,271,484,678,282,
287,764,679,209,034,889,625,521,426,944,114,854,838,271,301,232,629,925,548,
205,262,478,686,659,906,507,648,005,255,674,921,723,881,585,748,571,905,879,
783,513,931,317,922,783,975,826,117,728,153,242,294,717,737,212,970,174,520,
761,163,111,390,380,076,843,881,767,764,104,269,298,992,639,319,696,879,244,
313,537,395,647,210,860,439,424,043,684,718,281,304,263,552,816,613,601,498,
908,057,187,630,020,280,497,338,581,673,285,741,458,135,438,835,244,670,592,
997,320,706,619,414,456,547,663,748,694,160,829,202,878,951,883,651,433,421,
438,575,714,031,454,733,936,341,617,877,668,182,718,276,781,919,697,039,533,
250,750,165,489,917,650,430,176,526,237,238,328,553,857,942,217,673,571,380,
552,316,670,678,508,227,871,059,384,489,112,038,467,448,915,086,302,322,155,
669,114,618,239,163,891,468,871,897,683,274,906,632,576,228,780,696,614,209,
685,591,851,634,932,417,465,418,109,286,251,297,262,270,673,156,597,671,312,
422,402,992,614,382,324,009,796,939,920,405,951,426,064,534,836,516,211,206,
476,800,466,955,824,123,462,030,151,226,705,028,178,983,651,404,805,680,130,
009,130,211,587,108,659,779,310,354,229,346,635,555,723,627,676,292,563,666,
579,602,733,238,606,987,462,171,307,627,852,442,311,991,476,961,137,458,359,
689,831,496,139,936,445,385,450,608,302,740,137,595,254,409,582,898,907,818,
266,980,808,457,693,270,006,070,944,282,405,588,008,266,622,435,439,510,601,
162,509,710,629,365,099,294,706,110,207,085,059,459,478,823,589,615,020,143,
419,902,134,864,396,642,047,344,314,158,960,096,378,344,945,876,312,063,239,
094,573,100,946,552,470,619,122,318,119,281,797,330,055,290,565,536,437,504,
694,426,627,822,572,829,201,426,189,077,884,813,552,050,422,976,978,553,598,
509,099,273,546,849,265,939,115,758,113,182,432,697,848,211,637,678,409,894,
629,886,233,478,517,727,679,440,045,415,270,597,761,415,977,284,707,778,856,
858,617,481,125,533,149,879,655,549,449,399,237,147,966,672,651,122,077,653,
431,154,018,678,423,848,470,018,748,046,761,181,005,752,160,202,300,045,306,
069,927,757,432,462,194,325,742,750,811,576,751,434,633,809,515,794,226,988,
634,836,338,909,668,092,013,978,154,812,907,558,074,758,868,348,312,281,524,
170,962,095,934,055,524,346,977,460,360,881,112,300,217,755,397,760,800,906,
411,566,063,196,052,021,842,407,654,238,576,211,842,842,600,219,325,950,571,
396,822,948,559,054,730,876,216,512,568,340,307,250,341,066,319,991,842,892,
077,241,103,376,844,127,327,399,036,284,101,902,231,666,719,828,873,725,729,
571,152,774,882,390,456,722,474,846,506,870,095,092,196,315,527,341,656,503,
531,633,770,553,970,501,949,574,952,578,891,597,626,898,576,888,915,802,221,
999,013,921,216,102,854,477,501,402,811,971,231,450,850,871,182,058,629,536,
910,389,691,001,785,882,073,886,517,327,386,893,845,176,093,624,910,094,058,
614,422,195,229,384,790,054,013,545,871,027,556,128,289,621,521,171,369,259,
076,790,117,256,179,917,467,749,529,447,775,090,329,489,146,684,886,214,708,
437,578,622,392,861,217,483,753,713,676,235,135,441,693,027,975,920,224,071,
207,068,686,342,510,221,606,597,333,604,899,348,844,334,093,413,539,734,108,
772,805,588,835,192,004,651,273,796,362,579,945,596,631,416,008,358,834,029,
581,009,230,295,293,023,175,631,471,159,983,788,359,555,780,755,392,267,130,
116,927,696,202,383,152,879,423,422,795,123,755,167,965,496,625,671,519,373,
642,541,179,830,266,283,641,890,288,513,846,636,698,503,299,261,948,524,953,
685,855,617,058,912,622,425,264,028,991,114,799,448,117,511,250,919,079,837,
522,269,053,012,202,932,655,285,556,385,991,940,686,601,867,452,159,487,224,
776,632,825,956,365,340,612,468,953,395,264,078,514,340,505,998,043,002,215,
570,460,533,005,152,131,092,356,074,865,111,785,676,921,866,266,924,273,090,
447,786,575,375,640,139,528,682,996,739,151,099,369,050,675,617,928,999,176,
691,390,444,243,463,228,545,780,563,648,354,934,967,780,125,502,028,473,252,
952,678,976,810,335,130,969,278,404,686,773,755,827,508,848,781,754,962,537,
188,244,612,572,344,914,294,704,192,374,370,823,131,557,927,880,494,523,196,
872,346,609,983,337,018,805,360,232,235,301,917,409,357,438,025,728,701,364,
287,783,168,834,874,140,425,955,489,930,802,982,582,964,175,189,874,333,327,
532,581,787,321,866,662,921,672,633,751,388,687,727,528,628,571,073,895,076,
313,814,329,386,543,234,448,782,607,073,237,361,061,268,197,931,535,779,027,
872,209,584,899,614,125,367,628,412,110,078,823,394,565,273,750,180,338,732,
720,147,274,835,305,795,348,999,878,534,143,736,236,631,277,427,449,570,966,
442,563,913,234,683,878,708,696,725,008,383,148,040,260,290,917,227,528,016,
334,032,869,178,826,695,830,174,946,581,521,851,516,145,399,870,151,877,515,
792,484,381,325,997,028,735,095,176,183,503,904,009,688,413,963,321,159,002,
897,577,573,815,302,445,655,960,475,614,735,904,813,378,087,950,501,343,129,
322,489,831,457,532,554,128,967,009,482,175,655,364,781,831,585,407,369,132,
983,869,440,347,085,199,489,151,437,046,020,835,900,313,026,474,479,842,433,
552,738,455,578,814,155,109,312,392,552,879,895,023,945,099,560,076,616,633,
416,626,220,508,761,444,459,055,227,460,316,168,878,369,296,980,178,551,731,
163,699,530,495,282,336,371,844,013,082,442,452,364,919,355,670,297,975,697,
726,385,684,743,647,775,823,894,693,946,474,990,209,389,773,650,001,801,275,
898,509,514,656,616,043,969,894,728,727,331,327,149,689,974,483,264,114,137,
985,492,386,911,580,688,021,008,063,582,599,729,457,833,464,080,868,877,930,
944,645,552,913,833,739,568,688,729,976,416,849,125,290,004,817,572,785,664,
446,450,201,472,013,318,207,776,571,337,556,273,062,037,290,091,535,658,700,
838,367,507,282,054,779,287,929,436,796,409,309,050,812,266,039,614,643,397,
679,965,592,137,586,306,304,083,771,425,929,337,832,278,536,969,006,255,266,
594,788,859,507,114,252,394,556,253,865,858,726,077,760,427,070,597,353,869,
172,112,889,645,315,863,408,723,296,565,702,171,242,179,798,311,837,814,888,
550,241,449,495,372,221,892,057,969,718,463,627,891,281,624,212,821,437,744,
201,555,186,536,611,501,722,282,194,943,036,204,270,488,913,359,959,153,585,
901,080,301,370,561,419,323,329,359,066,337,609,380,535,495,577,015,580,795,
838,982,306,442,988,753,342,025,254,576,387,100,379,197,641,183,989,658,918,
664,923,983,303,348,960,708,428,472,090,280,438,778,425,873,106,638,039,060,
258,973,101,164,406,869,089,353,581,281,864,894,797,895,158,392,571,502,802,
920,495,301,647,808,564,590,830,403,191,835,793,435,271,004,743,479,037,660,
248,966,659,802,699,526,535,448,461,436,856,801,290,023,372,304,313,087,823,
061,817,162,535,384,263,247,597,807,930,442,343,192,270,302,632,229,633,586,
891,161,834,234,450,540,744,450,940,614,409,240,441,357,732,173,312,253,429,
803,493,856,020,804,833,185,037,647,093,335,951,026,064,819,457,306,537,643,
016,607,368,880,563,173,705,026,153,476,613,598,216,471,512,855,500,322,099,
999,021,042,554,532,611,244,478,709,940,546,771,598,832,142,790,367,382,176,
267,246,788,249,811,749,822,780,938,946,293,652,121,695,998,092,311,819,005,
209,949,756,938,424,382,834,452,310,051,358,690,423,914,278,793,918,752,382,
807,718,959,411,775,842,293,704,042,410,778,741,542,274,687,001,688,010,108,
329,720,973,972,731,035,384,201,810,519,437,628,995,255,011,621,039,718,311,
406,939,448,346,048,615,165,198,987,975,019,663,896,270,656,214,482,499,547,
844,994,514,095,817,124,691,784,081,323,219,307,890,136,245,658,373,457,532,
935,547,977,548,155,873,430,383,211,665,491,004,531,240,502,096,302,561,919,
455,585,715,303,116,078,748,615,884,823,843,099,971,097,112,909,592,530,090,
602,876,965,070,757,925,321,032,802,084,956,002,566,418,227,537,809,033,231,
339,866,372,581,846,012,293,203,538,458,391,862,260,329,906,430,896,205,163,
108,673,865,589,753,185,759,643,149,087,946,096,427,592,455,094,806,301,436,
651,549,640,200,134,169,381,618,656,615,017,240,257,427,688,053,606,485,084,
325,751,910,313,190,275,503,563,981,723,474,709,705,421,342,917,049,960,838,
276,427,453,988,375,455,690,411,623,190,028,079,027,547,470,563,055,825,973,
248,313,972,590,171,878,171,803,560,640,544,446,632,991,926,407,169,859,050,
451,183,239,615,891,860,800,656,020,935,149,705,996,158,467,115,709,702,562,
222,711,219,918,178,638,627,342,936,462,672,253,807,503,435,408,067,242,297,
744,557,437,139,860,637,831,824,088,750,501,178,476,461,328,389,657,736,413,
093,444,662,085,512,637,977,181,137,769,839,504,794,742,377,471,818,335,016,
735,052,095,607,157,930,410,673,834,240,022,305,771,567,983,907,438,858,118,
135,426,921,408,386,823,680,194,547,869,974,052,990,001,324,716,035,668,520,
412,847,834,518,354,459,345,003,873,997,046,335,877,831,911,404,363,169,832,
388,969,074,407,599,691,704,025,427,319,703,828,537,907,228,680,821,294,408,
443,231,419,435,388,824,139,749,645,545,132,722,300,782,696,176,607,230,341,
430,252,440,236,770,504,084,850,660,060,027,738,762,493,598,691,999,247,541,
414,631,841,340,471,672,210,550,154,275,260,154,898,974,977,301,675,607,690,
126,330,606,954,988,300,605,859,707,430,114,280,334,581,318,501,697,385,922,
043,526,123,821,566,166,161,912,195,938,982,087,937,582,878,137,415,874,581,
738,017,787,044,598,413,846,577,523,134,993,581,712,349,781,976,837,732,948,
108,273,300,288,628,165,408,796,254,588,541,378,315,841,303,602,265,904,466,
161,367,576,233,105,409,252,685,266,000,292,626,835,149,035,933,454,672,860,
635,177,218,081,073,899,265,740,921,263,179,576,514,201,790,964,552,377,000,
600,887,117,305,118,389,689,178,488,923,744,841,587,228,614,643,042,115,630,
168,262,456,631,067,334,990,301,934,950,238,100,027,660,894,801,422,214,099,
610,356,192,078,252,539,928,841,848,889,390,958,627,345,571,907,292,767,887,
217,675,519,168,106,801,796,325,040,931,034,678,047,558,766,900,064,993,279,
996,114,245,026,085,103,410,765,169,314,765,798,696,269,280,323,894,324,300,
883,695,972,031,252,598,900,686,553,392,537,865,252,387,829,831,478,493,511,
372,533,612,924,528,207,195,264,211,233,379,329,295,217,159,892,191,640,517,
453,745,113,213,700,945,225,004,578,944,620,109,914,065,951,971,440,781,025,
473,218,728,114,756,431,463,144,707,013,105,672,957,360,153,141,090,405,770,
873,930,108,915,119,857,612,531,993,800,049,235,513,990,544,939,999,850,025,
663,854,946,474,098,779,434,427,192,807,608,808,099,423,838,475,205,668,197,
546,330,832,300,231,124,523,163,671,885,580,256,309,276,716,415,525,913,089,
675,368,020,492,665,406,569,030,659,098,700,050,545,100,575,843,742,460,671,
391,573,558,063,502,390,031,621,598,662,181,765,548,920,756,447,278,041,933,
958,094,922,498,629,080,036,511,554,049,380,869,659,693,153,082,930,929,681,
362,351,742,105,528,341,053,293,976,544,223,914,588,970,557,597,947,042,340,
504,641,725,168,324,596,636,863,224,926,502,431,243,730,667,011,087,333,939,
688,111,913,219,010,240,448,869,851,049,115,533,964,562,765,467,186,136,930,
032,383,276,624,173,753,669,904,844,607,346,398,917,544,809,671,250,713,581,
919,785,348,558,427,226,317,093,865,164,650,983,249,341,274,868,720,972,814,
484,515,329,451,992,034,897,631,219,860,855,076,908,291,371,518,720,833,407,
132,981,911,834,677,406,574,233,002,928,505,899,241,308,854,281,807,155,915,
538,479,951,775,328,914,680,281,814,792,441,366,758,437,624,300,121,723,791,
191,269,075,862,993,600,462,412,753,290,922,027,514,815,618,034,033,089,174,
077,620,538,097,940,436,889,280,972,820,807,612,128,986,361,963,659,279,270,
740,913,951,159,183,289,800,732,727,751,984,094,345,095,286,931,199,846,880,
221,459,319,977,857,313,133,134,205,048,867,686,152,483,685,114,697,335,291,
443,418,497,889,589,074,328,737,964,654,633,909,745,977,618,483,183,709,022,
214,297,045,837,512,007,045,010,202,172,699,375,066,428,437,545,928,177,697,
473,865,306,226,673,264,689,240,374,121,355,197,787,968,921,552,654,288,560,
163,038,165,206,167,400,903,531,489,891,382,271,395,771,988,056,941,539,735,
779,936,632,737,947,366,493,419,175,559,081,987,259,749,965,866,400,949,239,
885,604,864,226,487,629,120,469,056,508,681,850,945,391,098,669,244,470,551,
953,560,011,160,014,707,034,259,492,277,268,100,035,038,552,737,870,172,174,
530,606,788,081,025,647,889,759,854,991,449,578,695,881,301,289,362,336,765,
158,909,548,003,563,105,275,769,479,555,736,104,433,074,758,677,334,168,775,
243,920,745,479,317,565,196,886,949,003,024,399,949,794,305,938,323,452,663,
946,098,208,767,778,961,656,512,636,592,430,040,288,627,809,166,623,194,501,
886,812,021,667,029,083,113,793,218,039,405,290,356,607,734,959,555,102,127,
376,357,692,150,797,864,016,879,175,265,465,108,941,655,577,160,590,953,569,
391,601,240,313,413,599,434,926,643,829,980,758,410,612,925,363,716,226,643,
935,215,053,038,767,457,292,506,256,725,923,103,882,559,382,884,495,320,626,
062,545,787,615,212,940,961,094,439,656,606,837,147,394,510,990,678,262,627,
105,482,403,296,695,242,865,679,305,128,243,266,675,256,880,037,325,961,647,
204,176,538,052,640,084,535,211,930,688,487,902,928,946,615,158,075,105,616,
199,815,657,582,141,395,845,297,231,894,913,990,989,559,728,125,924,559,989,
406,687,185,950,114,273,045,927,207,716,788,088,253,261,969,685,954,112,203,
189,714,246,683,991,044,418,918,604,419,214,883,783,404,544,108,449,281,112,
056,580,109,735,537,353,777,417,989,576,796,052,519,028,163,341,648,376,255,
749,809,882,264,028,023,954,354,412,576,134,808,723,478,849,304,643,087,083,
028,803,622,083,459,099,747,369,359,189,862,280,508,851,319,050,478,834,042,
414,245,343,706,954,484,933,532,813,990,711,424,003,394,878,656,860,525,652,
939,977,296,074,810,747,128,964,470,588,951,558,311,819,815,113,850,830,125,
179,736,463,956,281,523,033,869,495,724,434,867,549,510,328,241,515,532,569,
476,309,213,731,481,245,725,388,760,419,866,425,383,735,642,886,139,138,209,
557,006,922,431,085,522,824,152,679,787,450,163,061,752,989,606,170,142,878,
025,517,431,059,294,568,183,074,675,656,938,470,858,599,709,154,641,976,119,
641,972,339,088,197,693,062,936,849,197,627,289,525,255,734,513,841,459,582,
391,305,410,772,020,953,937,402,834,285,989,670,632,411,394,635,867,446,695,
589,441,723,157,987,204,497,892,310,364,832,909,170,355,291,242,850,727,165,
409,434,188,932,524,254,590,680,981,105,803,860,911,776,113,346,146,777,472,
443,660,235,664,462,685,628,585,667,817,375,413,831,908,325,249,562,482,801,
077,975,274,040,848,076,048,733,172,509,278,387,581,394,689,952,609,295,267,
448,144,904,057,810,851,706,097,488,743,254,729,369,381,932,752,913,125,954,
994,927,512,346,293,266,443,097,300,804,412,298,598,231,542,020,347,337,804,
804,121,780,089,605,897,982,767,218,988,904,023,628,935,969,555,545,195,806,
747,829,535,320,869,283,417,768,549,055,801,186,470,922,168,489,312,838,296,
898,528,443,181,353,187,393,453,855,848,125,574,529,207,167,155,230,390,031,
596,448,487,909,818,733,163,775,168,620,442,119,485,858,209,459,228,617,950,
484,155,697,055,743,965,869,293,942,455,130,363,946,804,586,969,253,898,252,
008,848,641,249,673,249,847,369,341,210,804,929,751,397,356,920,023,110,368,
799,997,446,068,826,993,797,016,313,227,881,511,296,719,757,703,856,698,091,
403,578,612,948,287,713,499,399,775,557,566,802,629,224,611,469,493,343,973,
197,933,675,615,442,193,317,624,634,356,718,096,162,174,526,055,448,536,259,
350,894,294,316,460,358,095,207,334,849,350,508,997,449,565,736,265,631,592,
966,520,569,037,505,742,102,666,639,884,815,963,662,550,522,061,598,029,780,
116,490,596,787,443,516,274,836,598,661,907,268,808,986,638,183,726,898,917,
915,512,465,632,108,263,011,819,692,343,189,365,420,038,910,271,905,280,360,
916,415,822,189,817,791,377,813,461,272,171,521,360,462,943,636,225,479,708,
991,772,940,000,076,849,652,385,982,213,958,768,132,342,440,668,137,352,918,
586,030,365,184,196,556,489,397,905,433,384,601,977,057,889,611,725,032,777,
979,134,520,574,915,766,512,532,576,820,784,861,350,484,188,549,023,365,571,
241,954,368,587,645,400,248,051,258,377,231,289,280,605,494,239,470,133,289,
331,288,751,113,717,445,224,170,169,959,518,291,075,204,692,199,954,417,939,
300,178,800,002,244,080,254,299,698,209,347,641,374,496,496,085,570,967,271,
979,728,700,360,945,068,459,661,379,490,942,224,462,079,408,651,207,821,057,
211,601,193,615,473,496,310,878,844,781,677,710,584,947,279,184,933,815,201,
492,941,922,909,725,087,918,044,844,966,515,124,050,440,984,377,851,698,161,
520,307,867,363,338,867,416,129,245,243,647,876,237,148,673,970,118,266,117,
689,818,384,968,697,555,453,439,751,751,856,778,652,538,531,695,706,935,413,
957,741,762,982,446,672,630,859,856,367,854,945,991,444,843,779,873,189,341,
043,868,877,518,839,737,840,302,614,697,074,355,212,650,735,532,032,696,356,
287,234,225,763,727,045,931,184,141,720,824,034,413,958,258,336,579,269,474,
660,483,492,245,186,387,222,344,869,710,471,344,990,886,572,889,341,937,777,
977,479,439,539,271,907,013,480,652,060,314,034,250,800,771,370,610,871,807,
963,193,047,840,120,803,213,758,745,578,054,038,916,588,257,715,615,281,513,
972,643,407,829,558,942,006,802,548,159,264,250,386,804,632,674,604,792,912,
182,557,763,311,799,238,973,389,357,974,362,639,276,858,558,641,721,946,384,
920,473,910,352,056,111,537,203,235,958,464,597,629,238,623,758,844,951,594,
390,565,877,984,291,244,539,240,441,392,789,280,740,940,837,688,660,028,972,
546,899,786,044,410,533,822,224,838,396,265,594,202,732,388,207,833,036,461,
077,331,065,938,282,182,228,861,812,513,041,574,216,788,872,288,777,258,546,
796,663,286,913,144,719,185,307,758,256,036,379,586,120,670,720,435,613,957,
257,740,463,477,955,635,954,407,041,070,281,831,660,484,780,554,657,390,846,
920,867,673,551,823,264,386,437,198,323,966,291,980,252,566,829,733,234,447,
579,521,443,312,710,697,426,451,697,962,332,859,782,335,926,184,136,754,997,
787,138,091,967,017,266,165,722,101,889,975,551,491,499,778,571,825,578,115,
514,993,892,047,158,794,516,118,490,937,307,725,728,165,882,412,578,910,587,
234,950,225,057,170,728,751,629,212,996,455,483,024,203,647,610,901,014,082,
556,964,286,116,811,902,224,375,741,116,041,778,862,323,357,799,635,021,678,
794,417,181,118,919,349,565,416,819,633,727,008,706,185,554,957,667,126,415,
036,604,130,671,057,589,684,125,951,895,060,483,557,895,783,489,114,716,040,
902,188,211,827,325,142,300,836,775,554,489,167,530,011,594,611,175,981,580,
749,677,558,123,691,014,044,769,318,907,107,573,930,100,736,065,783,224,138,
827,685,746,913,741,349,671,844,275,753,951,140,151,302,174,374,153,700,092,
803,959,900,852,102,024,781,391,630,545,159,595,000,306,039,177,545,155,071,
478,358,312,622,434,630,747,880,202,760,137,125,450,405,089,881,426,592,925,
802,051,092,522,570,223,835,474,521,256,896,834,991,377,397,413,178,014,739,
805,574,551,986,941,091,932,987,612,267,775,755,511,585,654,993,988,257,294,
631,978,426,395,732,784,303,259,733,556,618,647,555,568,461,378,076,252,311,
555,083,132,236,941,795,493,749,785,701,490,280,355,926,646,139,274,598,156,
728,930,936,602,461,822,998,933,955,975,369,471,828,411,676,617,051,098,431,
373,341,975,470,740,621,378,735,058,327,654,262,075,777,954,880,813,073,949,
801,789,608,603,669,616,065,938,470,719,370,743,759,387,669,754,450,457,032,
110,337,070,343,246,205,004,267,363,114,396,767,263,713,596,252,986,735,699,
545,545,522,360,178,503,244,130,627,770,263,867,905,680,047,034,961,745,794,
486,701,294,295,806,434,784,886,811,202,793,183,135,146,484,886,518,534,962,
193,665,634,085,103,145,658,800,218,131,126,816,608,895,877,372,828,774,874,
413,248,076,999,194,547,907,671,496,223,139,027,923,333,246,789,154,361,920,
715,534,079,874,370,957,124,417,103,377,060,394,651,223,613,405,396,571,578,
148,254,476,091,297,953,368,173,777,545,339,771,520,423,211,019,535,019,919,
163,453,894,148,108,403,718,938,254,568,330,164,856,618,884,242,130,407,101,
092,397,081,244,285,877,751,756,576,990,094,263,258,383,012,043,608,390,891,
468,915,730,938,251,097,499,930,087,095,104,023,488,606,866,753,725,005,409,
618,290,937,491,113,537,978,932,883,485,776,166,184,512,001,733,904,606,836,
836,909,145,646,925,062,707,584,763,326,596,846,384,018,848,540,053,210,654,
858,446,499,864,251,935,955,636,947,098,154,877,854,909,967,264,358,663,401,
796,249,916,878,311,083,303,701,552,025,228,640,574,315,823,059,937,643,491,
572,967,611,781,661,277,092,418,272,473,716,013,266,267,653,561,213,905,706,
746,248,889,955,816,760,753,198,469,882,901,182,051,966,049,769,449,686,555,
959,754,209,163,874,110,542,597,857,642,642,719,608,768,936,453,863,084,516,
923,834,357,832,671,174,539,108,602,402,966,376,291,307,893,027,770,942,205,
181,527,458,857,376,203,990,338,878,598,741,443,399,893,148,076,620,414,081,
780,971,836,255,893,514,274,283,397,044,764,625,190,277,809,675,074,995,156,
216,310,114,759,410,305,370,391,312,755,262,381,013,538,769,889,954,489,451,
094,850,427,000,933,097,061,157,496,584,255,127,686,783,591,427,651,729,153,
816,542,943,752,751,739,056,007,066,281,875,942,680,030,095,206,417,089,200,
615,817,148,140,206,970,961,147,723,312,489,312,384,109,876,420,554,266,513,
737,407,865,063,608,526,892,245,693,973,124,307,990,022,232,940,790,510,841,
254,882,278,276,227,245,889,552,201,147,449,884,279,152,167,936,374,632,195,
023,708,139,351,796,572,405,381,697,909,054,757,842,695,110,906,899,673,813,
317,045,372,058,374,918,855,742,598,174,035,019,114,666,115,020,987,431,676,
146,138,599,428,946,719,329,485,307,038,362,025,215,024,395,504,086,273,070,
566,334,664,321,746,594,619,606,539,644,428,126,918,709,937,026,366,454,606,
805,785,886,575,171,220,130,185,604,879,935,639,802,045,557,083,509,856,312,
959,806,344,181,708,828,907,192,518,763,623,073,775,562,557,931,018,587,702,
410,420,913,828,721,607,017,418,774,824,484,494,341,820,883,026,056,725,211,
075,052,139,968,216,964,734,360,249,835,133,106,289,303,309,136,213,962,422,
645,668,992,175,007,087,952,949,056,700,552,919,258,241,527,106,910,514,785,
640,161,627,063,521,864,048,782,546,238,098,603,153,879,422,571,925,319,494,
746,204,770,853,739,130,185,001,326,317,706,378,108,726,384,511,204,328,911,
979,324,430,504,018,735,950,629,758,066,918,940,443,689,739,822,007,954,798,
995,786,000,130,051,179,187,429,126,701,557,090,027,275,089,359,169,329,832,
919,280,034,590,811,703,628,179,894,325,218,127,137,008,907,330,263,253,876,
903,501,486,557,605,144,600,612,381,559,986,769,634,249,301,113,230,263,428,
998,137,794,194,114,208,011,444,549,618,960,713,602,867,135,048,403,729,588,
829,081,877,177,848,542,337,829,435,618,940,364,552,567,655,399,762,673,402,
374,302,715,234,400,411,066,943,433,974,026,420,301,292,467,584,564,165,771,
141,012,576,650,935,999,192,039,833,444,316,758,155,945,435,982,315,679,168,
432,980,489,189,626,778,783,120,162,389,404,437,504,116,953,685,243,085,345,
361,606,227,025,950,653,554,512,820,842,672,432,981,555,092,579,186,184,497,
704,026,888,913,498,162,765,267,638,795,455,478,865,486,910,338,503,686,097,
420,745,306,348,633,065,156,573,407,895,934,782,389,411,499,714,115,313,392,
994,878,852,521,340,195,532,998,087,107,390,256,533,747,907,219,399,581,103,
950,201,904,665,753,121,325,649,524,521,869,187,325,668,052,812,753,964,847,
403,388,823,963,636,803,848,618,935,277,790,114,600,082,213,619,791,839,857,
913,938,886,394,718,243,843,615,720,214,119,451,027,256,672,306,927,400,107,
198,624,240,629,396,263,159,162,122,166,428,812,452,107,486,115,114,829,037,
835,865,698,436,795,093,239,014,556,086,725,215,248,290,297,912,134,366,580,
919,526,603,302,280,779,816,149,899,023,243,682,612,776,996,774,218,405,855,
510,012,611,119,329,944,536,643,698,397,336,181,805,909,863,721,321,142,544,
625,944,316,908,911,942,822,490,868,709,055,979,255,609,572,587,157,845,885,
383,453,969,765,319,627,624,581,018,630,503,929,280,644,848,965,737,543,770,
408,776,486,540,341,814,679,233,574,683,336,685,314,916,898,156,245,672,865,
505,018,858,780,944,895,518,432,336,389,512,671,966,573,666,255,706,455,022,
787,496,283,009,501,273,742,075,867,502,854,109,490,693,928,664,304,596,288,
863,359,024,645,713,526,483,786,301,787,008,871,688,165,545,403,683,067,096,
956,557,676,810,162,811,577,830,093,226,731,756,756,455,037,980,241,700,686,
715,217,105,141,836,286,079,677,052,752,718,897,094,861,019,032,951,143,169,
073,155,680,302,700,622,941,981,686,161,572,245,914,195,564,452,283,138,459,
354,167,519,336,293,381,876,565,675,097,196,337,749,795,292,590,049,904,462,
833,713,482,238,075,665,516,841,763,835,046,420,173,320,040,508,081,954,717,
184,489,008,639,374,106,544,452,739,498,380,982,685,232,678,050,747,955,881,
660,661,168,437,829,479,630,643,116,647,732,409,568,104,747,914,276,974,460,
740,184,734,313,763,369,189,395,188,001,351,226,253,182,181,243,204,108,938,
058,050,823,390,508,653,467,801,218,916,681,805,741,179,795,274,288,499,088,
385,479,661,739,324,153,439,387,588,948,973,533,940,592,025,725,261,338,560,
350,062,200,202,659,460,202,645,047,019,595,929,218,414,613,413,650,261,084,
041,574,457,871,360,309,698,136,222,310,684,658,378,365,907,668,916,246,331,
871,955,898,950,958,035,444,162,502,143,604,775,648,851,677,038,068,466,678,
313,894,490,325,563,141,053,606,830,798,107,352,136,282,560,786,497,441,431,
809,341,067,109,132,335,373,454,525,679,960,062,208,767,166,019,308,355,299,
232,831,950,360,593,975,167,980,861,754,233,187,545,256,333,014,740,313,066,
467,714,801,360,260,024,732,526,269,995,515,402,170,827,178,587,113,152,354,
983,445,193,359,236,559,423,472,613,737,938,294,353,377,346,913,588,430,929,
673,713,283,223,386,213,086,207,810,637,116,926,096,976,509,933,052,361,159,
128,492,460,456,951,185,400,193,448,352,728,795,525,295,379,977,952,050,564,
589,549,263,908,725,893,535,151,295,759,564,514,309,832,231,561,514,659,100,
632,054,275,807,170,022,887,942,035,504,340,520,624,365,917,281,656,658,949,
449,926,481,261,982,064,028,198,362,414,647,242,900,263,817,289,623,991,752,
333,950,638,353,516,005,223,230,627,812,885,661,333,715,672,621,399,308,609,
299,175,431,932,275,300,778,630,249,743,925,044,230,942,247,151,678,704,728,
082,707,920,411,866,078,495,446,410,137,666,241,438,855,951,008,535,654,174,
519,476,830,274,052,731,248,897,739,318,496,664,505,922,929,354,732,567,363,
787,353,349,813,923,928,210,563,662,015,970,086,462,209,637,410,828,172,154,
106,008,934,188,495,546,727,808,811,862,987,060,625,369,611,657,355,583,350,
518,483,315,850,904,484,692,100,503,540,569,091,485,757,482,980,515,995,198,
073,260,785,656,605,021,522,743,222,800,665,315,473,771,544,890,790,822,113,
138,855,422,966,205,851,476,950,268,696,033,798,093,923,710,671,453,296,003,
353,149,048,403,614,645,047,840,006,271,060,108,418,885,707,951,002,106,558,
405,781,868,414,095,946,889,849,318,245,685,550,221,934,761,713,793,798,626,
260,647,342,044,107,761,675,605,462,942,546,816,622,244,483,035,439,411,489,
799,295,660,227,966,719,329,968,331,493,939,809,553,284,280,117,090,675,759,
101,068,265,267,908,837,130,297,903,894,065,815,652,648,953,090,548,650,405,
248,669,949,309,769,723,634,441,341,487,421,740,055,358,287,345,871,351,869,
857,803,570,612,031,505,140,435,780,411,769,010,479,898,253,756,113,287,444,
755,351,968,107,847,647,212,815,977,488,499,309,348,393,104,191,494,169,838,
875,567,561,297,024,625,184,191,330,081,280,431,191,824,799,723,287,861,057,
180,778,458,547,960,152,256,766,103,151,365,710,521,463,301,934,041,686,382,
647,855,649,411,368,359,108,953,407,748,184,696,517,400,444,515,804,604,045,
849,453,196,559,206,517,986,014,480,548,769,886,307,692,869,241,769,933,784,
131,537,249,232,417,900,813,584,547,143,137,847,331,609,334,041,927,563,954,
945,124,459,249,361,996,427,350,921,374,318,795,535,192,787,578,449,050,974,
296,167,112,268,415,083,159,762,959,982,742,966,837,476,610,532,582,171,052,
460,593,529,939,076,858,632,551,023,712,134,813,026,811,781,841,252,139,240,
645,399,597,853,185,320,543,151,568,414,153,089,283,066,107,615,305,972,634,
284,242,340,352,491,862,833,161,884,682,488,549,991,991,775,895,577,482,872,
971,022,158,583,903,600,321,040,652,005,388,797,794,368,907,756,069,205,961,
388,028,583,922,634,353,086,434,651,247,276,745,897,703,968,803,119,010,413,
805,933,583,346,267,518,733,031,931,646,875,641,936,524,113,938,263,974,459,
638,401,087,411,819,172,088,367,095,494,347,664,478,338,918,454,612,921,582,
181,877,750,272,514,664,826,920,665,829,848,031,195,896,306,700,476,742,400,
441,072,555,394,642,164,584,741,469,634,537,052,600,144,299,179,157,920,283,
878,353,621,025,749,482,555,110,215,681,462,658,099,625,935,973,240,563,414,
177,929,973,985,286,315,899,685,015,648,576,157,996,855,998,941,258,398,702,
905,173,993,412,420,845,302,558,875,331,393,929,011,872,939,109,065,939,273,
072,730,086,439,196,968,503,172,742,628,643,190,745,472,947,448,842,671,155,
432,452,064,906,069,675,089,685,576,403,039,732,038,890,745,732,043,912,037,
147,314,335,811,699,515,576,629,541,486,892,674,175,697,949,981,872,172,497,
272,068,303,200,698,248,663,486,690,972,735,786,907,445,798,557,907,453,490,
346,434,100,366,672,729,337,376,228,983,093,984,533,741,019,021,924,681,211,
454,017,015,856,801,035,283,358,115,860,108,486,806,360,996,488,257,744,368,
195,004,450,923,886,459,959,232,002,771,650,417,550,108,505,878,971,815,219,
743,012,603,314,729,730,661,841,100,399,792,267,916,931,505,808,510,558,650,
552,948,601,335,052,516,760,065,865,151,660,874,240,836,540,167,579,842,945,
304,504,344,217,661,002,424,431,491,379,205,277,512,362,372,060,818,609,239,
408,741,408,438,610,422,181,279,278,388,408,061,806,577,662,997,669,427,461,
879,041,751,491,895,953,705,922,243,512,269,214,717,530,619,531,039,636,720,
831,081,218,810,796,165,820,171,799,427,863,972,197,236,390,567,807,501,753,
958,009,943,658,024,579,018,870,644,355,799,785,755,461,554,822,419,638,536,
681,577,962,697,043,541,167,280,239,162,880,385,566,506,793,405,031,303,985,
525,535,931,631,671,520,276,907,471,222,003,247,336,768,845,777,254,342,426,
453,208,415,698,006,845,484,567,489,737,496,128,390,701,452,705,552,860,324,
217,085,128,682,535,507,248,326,140,836,761,287,090,088,145,328,913,776,806,
226,477,695,402,096,691,614,122,622,501,559,776,487,705,484,293,759,872,972,
302,567,480,720,151,844,281,154,132,498,786,521,510,495,405,486,760,187,748,
757,193,850,489,507,392,670,944,451,589,517,605,428,166,838,609,427,936,309,
474,414,343,521,177,084,782,627,151,965,744,467,588,507,258,315,223,008,446,
871,033,063,003,581,241,339,506,370,160,585,486,802,054,306,733,875,189,344,
113,152,667,962,868,561,928,957,516,533,121,268,266,141,861,822,064,658,720,
216,823,285,623,316,618,308,287,784,846,273,779,831,298,229,406,673,111,419,
229,975,042,778,841,644,113,611,317,205,204,429,080,775,957,390,135,729,566,
541,524,886,809,746,401,989,479,746,818,652,421,983,169,511,782,147,226,977,
384,957,855,180,205,566,023,829,084,836,698,073,209,220,064,789,028,887,091,
499,143,460,762,466,674,288,506,192,419,378,445,270,313,760,545,624,484,673,
373,610,290,755,209,530,967,002,805,746,395,922,640,787,522,641,316,260,287,
304,635,875,172,135,669,829,341,055,432,455,555,577,098,592,220,369,584,133,
517,667,571,381,107,758,926,443,509,063,789,514,878,627,510,703,994,517,471,
975,770,431,635,404,599,809,201,647,582,137,811,372,331,039,779,801,344,311,
456,100,906,810,369,231,757,932,086,897,309,768,717,890,108,248,792,663,203,
416,442,757,831,853,460,902,814,592,738,757,168,540,809,966,557,679,211,404,
882,847,109,411,407,060,883,617,760,918,102,625,779,454,073,584,341,085,330,
822,155,801,413,653,274,671,832,287,451,915,505,981,837,365,720,722,456,937,
024,120,033,551,942,010,092,495,842,083,090,072,781,311,127,313,262,578,272,
111,297,466,917,425,313,902,431,363,052,664,418,123,806,685,847,200,866,662,
805,319,225,375,935,121,835,405,918,475,227,576,388,715,923,796,725,595,873,
875,591,515,993,102,043,962,172,715,132,194,624,762,532,476,799,179,521,367,
949,768,752,032,713,938,289,462,456,838,565,366,020,024,195,649,333,167,288,
049,706,854,347,844,107,911,441,407,590,490,347,706,173,267,457,260,416,301,
710,713,531,319,373,927,691,796,227,660,522,081,076,429,651,053,479,139,034,
894,170,802,201,456,711,019,881,631,903,102,736,404,017,612,608,835,753,062,
410,194,281,837,046,114,608,525,154,221,806,606,568,545,068,540,928,705,729,
796,401,070,326,878,083,032,475,602,224,285,499,557,610,908,702,437,850,151,
132,541,556,071,731,560,135,191,107,691,584,870,070,242,110,850,168,925,513,
146,811,617,098,358,819,311,696,459,467,419,976,661,954,987,432,750,740,723,
009,730,330,548,237,467,850,722,597,638,669,069,152,193,030,261,442,593,342,
341,166,087,919,723,253,382,545,378,474,576,756,833,852,197,351,925,623,494,
802,191,711,530,715,448,977,819,816,333,747,468,270,685,372,596,997,979,559,
210,820,990,421,786,984,031,186,700,217,230,953,097,140,584,911,511,316,770,
242,681,751,273,421,255,809,264,482,106,820,826,377,984,753,609,228,798,199,
589,638,260,566,636,037,390,884,104,009,868,453,916,988,921,089,452,247,252,
092,157,438,989,552,390,528,060,569,327,879,287,696,066,050,567,292,779,955,
272,508,645,367,834,646,856,387,477,593,398,757,853,141,100,502,318,272,268,
713,868,011,772,643,356,184,654,831,669,306,522,151,039,737,523,279,673,837,
245,636,814,658,662,843,442,677,522,489,484,683,287,171,824,882,684,191,555,
057,415,106,699,680,412,643,557,603,562,687,824,635,064,425,777,626,237,698,
165,894,609,258,862,901,702,091,392,621,451,546,790,869,867,157,202,616,573,
685,780,947,227,153,715,829,552,711,405,495,071,649,763,716,427,590,938,099,
677,306,425,385,644,466,402,913,785,709,095,171,271,204,002,470,177,811,530,
300,377,919,740,607,678,861,380,164,216,502,417,886,455,447,586,920,913,289,
662,696,161,789,231,238,121,383,606,809,266,663,056,754,357,540,120,375,893,
307,748,617,176,677,708,368,636,305,565,184,638,904,344,974,643,979,496,149,
397,000,784,072,793,320,714,990,646,959,130,413,094,392,956,851,111,714,480,
080,276,695,898,279,597,608,452,652,136,338,206,859,580,436,897,064,955,784,
313,932,897,918,572,228,616,200,319,269,706,169,676,034,680,825,537,596,508,
844,666,845,807,248,400,606,018,209,086,025,683,848,661,427,899,695,748,049,
670,655,889,509,053,648,525,239,372,594,982,311,435,313,652,640,681,686,539,
211,622,259,560,084,343,354,023,104,546,577,533,555,457,633,030,851,534,450,
665,859,628,797,156,328,012,761,676,101,743,065,618,020,428,041,032,148,692,
462,671,623,629,513,278,656,600,408,515,353,115,283,013,255,072,030,488,152,
529,678,814,212,857,678,379,879,654,481,349,199,074,066,442,187,437,998,794,
660,259,212,103,037,632,511,910,392,992,997,383,436,646,307,083,640,605,813,
049,457,111,996,819,468,898,869,421,647,280,804,382,765,324,868,544,403,101,
018,555,167,731,283,007,960,384,895,071,276,285,301,286,863,129,967,152,677,
522,007,232,665,614,765,816,467,227,399,843,071,914,383,340,652,011,823,217,
166,704,018,840,076,326,527,077,398,627,599,592,972,730,962,703,068,199,908,
759,339,391,455,789,359,514,919,205,557,596,433,958,592,357,245,561,121,524,
429,618,802,331,351,384,104,777,499,490,843,772,562,243,421,342,725,304,232,
900,638,945,545,774,314,475,496,077,989,389,469,761,425,257,071,676,246,827,
522,510,812,643,159,604,700,546,821,855,532,775,047,971,101,675,247,306,969,
865,075,022,269,436,234,656,424,754,543,836,230,377,125,804,649,155,986,118,
991,610,290,258,166,793,642,978,458,436,885,423,685,774,089,623,771,389,599,
611,317,460,420,830,661,123,099,471,295,099,693,616,197,089,034,173,380,015,
588,095,651,597,738,581,343,129,015,470,536,961,550,784,279,070,389,707,014,
393,285,861,750,288,386,484,083,343,979,761,238,332,832,523,229,251,352,984,
323,380,668,282,128,544,661,993,676,436,398,176,844,789,418,104,511,413,474,
014,736,159,820,497,704,596,270,773,103,538,735,915,393,062,486,720,929,668,
503,615,828,440,455,243,790,012,926,490,649,661,280,878,783,341,184,175,449,
096,956,730,243,644,455,692,998,264,413,068,327,876,445,350,420,838,712,939,
949,332,883,069,404,372,268,405,260,893,747,303,453,281,517,320,661,228,626,
069,217,525,422,836,163,331,762,512,359,259,687,170,575,961,663,525,431,683,
214,115,853,412,674,676,690,502,169,158,587,678,272,018,645,355,970,554,383,
076,876,143,429,011,431,315,146,505,764,498,424,462,990,338,087,968,017,714,
697,119,709,945,711,940,129,422,660,688,244,815,797,315,609,437,463,441,568,
969,067,772,501,174,998,171,354,490,444,620,340,437,730,516,281,803,877,144,
972,167,342,797,158,750,477,811,170,749,227,292,174,469,908,314,705,003,973,
978,138,562,780,460,559,605,239,420,979,394,573,394,371,012,496,697,077,666,
405,740,647,028,756,938,809,668,773,509,304,038,670,882,161,753,412,451,695,
863,738,050,002,531,167,265,285,672,512,505,051,282,625,101,626,023,217,475,
070,994,846,276,996,951,517,524,532,545,190,144,299,810,502,985,287,144,366,
702,965,614,005,103,637,605,540,938,847,433,518,247,053,901,388,207,076,634,
170,056,163,896,357,084,920,412,608,834,672,718,697,516,714,361,496,998,179,
597,074,744,189,006,101,384,038,276,118,327,737,818,826,772,720,696,382,726,
056,787,384,039,740,616,054,219,098,661,355,456,164,149,257,484,132,109,858,
260,485,335,516,523,685,067,884,963,135,871,492,289,222,488,057,797,253,660,
998,991,378,327,747,143,353,198,154,080,049,223,807,082,644,240,017,844,594,
001,582,891,599,773,472,394,791,208,172,507,455,697,776,510,913,478,172,752,
881,338,899,937,834,885,106,290,464,026,614,599,115,277,110,948,274,720,614,
064,330,932,121,527,462,964,280,587,274,903,949,695,466,146,895,760,778,381,
914,133,092,952,505,862,104,938,702,803,360,396,065,211,172,811,500,490,317,
278,153,195,231,095,270,667,609,648,902,079,626,203,431,485,809,996,879,534,
992,585,947,353,611,840,555,646,681,111,971,548,982,954,862,845,649,001,181,
658,703,543,738,925,061,325,703,810,671,744,612,180,412,839,759,270,744,246,
444,050,895,876,120,933,278,935,709,319,630,867,769,844,886,540,343,115,898,
395,516,418,520,199,195,982,722,737,454,643,782,477,988,553,143,805,629,466,
141,484,075,234,560,660,941,012,018,486,992,919,253,199,586,450,795,651,458,
642,013,829,812,689,739,054,391,283,084,653,653,142,855,187,876,177,838,731,
810,604,071,448,347,328,483,055,636,798,951,771,627,514,463,590,463,709,690,
320,719,636,890,331,329,048,527,682,354,151,726,322,650,186,630,199,660,857,
592,742,547,566,037,103,369,387,530,527,099,877,297,724,692,785,952,320,135,
657,477,478,114,198,303,922,726,351,900,380,734,470,814,697,720,706,232,634,
152,424,711,443,150,940,615,457,122,903,749,553,672,989,023,125,385,903,969,
287,620,940,802,018,854,367,555,582,252,126,084,886,875,190,812,615,997,536,
367,686,826,517,103,006,181,156,365,376,663,870,672,052,125,556,891,049,580,
345,970,055,208,432,707,989,062,719,777,396,968,894,573,331,906,332,910,752,
712,653,161,433,029,316,066,599,488,094,401,180,275,416,345,481,198,510,038,
426,679,894,470,273,614,287,655,643,603,451,963,685,566,437,070,056,729,907,
014,353,784,300,776,569,364,729,054,358,836,059,565,007,126,699,430,690,123,
463,384,094,352,940,555,422,775,398,085,307,454,324,216,324,708,404,391,412,
779,855,081,898,791,306,816,568,977,086,867,030,492,671,601,285,939,799,720,
845,932,792,281,048,891,793,163,935,073,381,711,632,640,677,369,553,407,199,
115,236,555,265,937,382,241,432,185,864,593,572,689,940,971,116,383,055,351,
162,275,221,145,249,072,542,214,623,234,991,124,039,097,576,919,837,862,713,
392,513,497,720,094,234,369,835,674,830,212,468,558,614,878,000,409,014,825,
428,585,862,063,010,754,503,636,330,846,237,103,916,740,931,666,051,339,212,
007,022,005,993,514,831,300,840,526,264,324,759,664,219,949,312,317,836,625,
991,368,007,680,433,785,494,864,335,289,919,192,270,012,165,929,910,386,883,
269,352,262,105,819,000,057,645,078,039,817,659,107,193,396,717,945,679,664,
720,899,031,439,809,065,410,390,640,042,484,979,051,679,592,616,748,282,579,
795,810,351,020,651,785,461,120,047,832,046,397,383,561,917,605,175,462,267,
052,536,214,523,490,654,974,942,873,658,928,428,237,274,437,079,100,778,309,
096,468,278,395,958,416,425,338,016,647,548,724,870,314,796,057,382,437,660,
482,839,550,008,818,983,642,995,716,822,542,719,239,202,478,084,060,735,120,
438,068,479,354,283,698,793,910,060,128,666,960,491,136,144,159,474,736,020,
919,962,278,530,303,590,271,087,478,153,156,456,597,611,407,095,130,445,965,
317,244,543,831,001,123,428,031,959,500,775,716,181,195,662,636,281,981,716,
206,696,893,794,802,460,919,061,420,169,289,597,327,543,426,930,393,201,970,
053,129,921,238,667,138,996,768,807,850,550,050,172,187,730,131,753,059,198,
858,134,397,351,275,421,137,539,116,848,199,533,715,751,169,342,527,694,045,
718,664,072,268,182,043,199,329,585,156,320,666,438,036,523,371,823,392,856,
683,268,146,833,676,441,007,117,738,663,677,701,132,689,485,161,849,896,336,
038,554,979,916,261,838,869,936,697,836,783,828,064,919,570,320,874,637,617,
502,989,169,651,292,686,103,833,395,671,464,571,559,325,867,271,032,188,259,
766,313,738,946,585,855,792,420,041,257,167,854,820,770,611,248,612,919,785,
798,062,383,314,928,595,998,811,058,464,771,229,269,273,933,556,548,046,056,
939,644,835,354,383,608,920,941,201,019,384,239,430,533,393,391,555,839,084,
115,874,908,212,785,514,138,134,409,713,938,695,205,462,418,060,075,305,253,
044,399,749,324,653,603,064,477,592,382,084,879,088,003,431,066,791,234,505,
030,013,126,087,957,973,639,620,422,865,902,394,198,178,490,595,615,539,014,
037,180,154,343,285,292,794,015,990,841,150,956,325,023,375,290,729,036,396,
794,597,122,233,729,173,961,165,134,544,168,763,824,928,548,960,857,690,416,
567,569,054,937,582,181,482,542,334,477,243,669,978,373,164,483,648,807,838,
744,659,300,318,613,422,036,957,409,323,369,364,587,108,586,532,297,333,909,
467,418,161,205,578,497,970,923,784,626,239,411,469,841,076,732,034,511,517,
071,902,638,308,241,916,859,060,780,844,147,410,923,240,436,033,836,223,871,
518,737,011,694,202,074,959,378,506,736,334,388,223,981,020,836,290,059,396,
219,235,413,883,584,297,464,245,339,377,271,558,246,760,218,244,570,408,905,
426,005,938,848,979,552,575,776,119,677,331,938,401,532,347,482,190,547,186,
048,015,736,806,009,998,423,356,979,783,059,051,252,716,850,448,090,383,255,
568,808,190,504,583,667,621,549,664,236,350,667,563,837,828,867,332,628,704,
475,756,874,197,654,355,774,526,769,302,588,016,441,503,253,087,554,591,703,
474,602,629,920,078,203,350,765,799,651,781,479,814,413,507,155,789,187,511,
566,129,138,454,549,880,573,357,298,294,777,806,475,473,929,028,870,448,202,
111,236,753,865,718,877,880,668,208,241,447,816,733,308,586,840,105,674,633,
899,050,470,848,409,787,531,861,743,362,707,636,002,996,378,458,303,748,480,
254,290,570,185,513,518,158,520,279,633,608,246,091,350,692,481,980,568,418,
426,271,639,049,984,145,878,556,912,232,283,924,989,824,045,253,671,376,208,
228,351,458,963,865,266,744,380,830,661,080,873,776,919,192,254,904,022,533,
682,083,384,384,624,792,908,182,485,300,310,265,220,431,805,864,646,855,084,
747,099,817,576,596,559,969,834,236,936,964,088,083,266,356,203,190,946,286,
957,513,830,467,365,050,122,595,125,417,469,645,352,224,643,232,322,491,257,
481,493,782,608,920,926,465,424,882,170,728,377,915,107,500,660,874,718,307,
278,426,581,238,616,591,328,135,314,132,815,455,228,146,816,226,852,074,548,
381,985,425,141,458,483,695,581,571,741,532,442,138,467,500,812,160,425,513,
384,987,702,688,537,949,181,014,122,123,059,189,184,144,020,597,284,296,377,
087,296,747,800,361,298,801,649,239,665,872,216,417,668,751,688,229,636,364,
559,801,380,250,252,604,978,433,112,647,652,548,857,224,906,355,929,867,232,
924,208,644,777,801,772,076,500,096,566,727,853,646,797,433,641,625,304,505,
467,551,229,648,458,398,516,000,402,922,458,500,493,119,782,351,545,186,069,
312,019,338,972,867,133,194,288,227,029,850,749,874,748,199,802,546,660,494,
585,441,279,517,648,684,278,333,034,209,184,154,325,614,724,429,047,836,243,
304,504,873,875,866,532,422,776,014,805,946,978,179,762,744,846,110,843,552,
745,604,791,775,510,514,448,505,659,448,225,032,353,047,797,204,610,730,075,
321,022,360,448,837,061,264,213,746,300,624,808,192,301,909,243,661,558,766,
217,316,473,359,475,566,481,378,490,894,746,254,285,764,345,982,614,522,410,
042,969,261,061,044,075,302,927,387,268,004,156,566,707,816,746,318,009,943,
672,827,209,238,294,573,753,547,974,533,160,245,601,214,141,050,392,445,678,
658,371,715,967,274,812,408,654,971,648,874,307,303,622,365,768,672,887,014,
077,459,098,639,010,520,125,432,840,387,119,963,779,750,088,044,682,041,184,
645,400,259,910,936,999,801,296,847,974,483,903,705,680,581,275,502,559,162,
497,540,775,710,412,231,067,301,871,332,052,589,003,690,695,082,638,136,083,
164,804,079,916,563,437,706,518,484,188,394,157,294,169,321,044,493,264,782,
346,435,439,334,394,165,760,748,990,274,805,008,641,223,033,880,515,004,606,
279,762,832,729,890,580,345,205,035,002,774,424,811,627,438,474,089,011,232,
166,278,762,771,683,523,712,623,642,743,435,497,739,460,318,781,959,702,794,
091,697,974,252,370,661,626,340,546,679,600,023,435,307,696,967,072,555,393,
504,816,895,136,278,184,253,391,993,977,399,004,895,641,806,947,179,777,268,
798,955,080,707,154,914,261,628,092,039,128,873,563,901,631,168,258,351,877,
237,746,136,791,736,995,687,907,744,385,075,362,194,216,120,992,829,096,252,
904,472,705,823,080,289,804,424,926,423,897,124,740,889,130,468,328,634,721,
851,638,510,406,898,326,603,642,335,842,578,107,225,414,994,748,779,252,562,
780,173,977,270,017,934,214,668,240,260,753,054,727,862,755,016,930,013,733,
235,888,731,898,899,950,578,220,501,074,022,163,428,356,983,295,048,041,754,
620,358,726,027,620,495,079,647,288,625,046,612,019,648,597,828,148,526,635,
014,890,020,249,678,040,235,623,745,436,272,969,768,635,817,168,903,826,967,
941,589,692,404,861,345,151,326,914,804,686,021,425,643,326,961,848,729,536,
023,988,728,789,247,390,608,501,522,837,069,921,207,986,253,289,961,304,777,
012,022,474,882,695,599,664,885,248,632,607,009,332,384,664,490,328,185,580,
489,530,595,258,065,879,341,697,820,042,918,038,585,219,313,985,911,819,467,
607,237,820,952,345,443,655,354,276,033,772,312,368,428,955,349,747,882,176,
351,047,167,761,922,803,905,443,060,535,335,622,272,358,025,531,457,780,022,
449,919,719,798,153,448,980,664,588,642,415,199,054,279,979,843,212,518,046,
823,832,920,281,736,629,840,864,962,534,793,801,875,042,155,547,261,729,207,
080,846,801,574,879,417,496,584,378,739,420,542,480,842,596,753,157,430,858,
165,208,762,184,493,244,436,530,817,053,541,916,794,779,099,164,095,223,585,
404,152,803,304,769,634,585,856,897,580,315,041,678,079,437,701,483,546,526,
934,248,712,390,830,487,239,663,393,382,371,714,355,047,378,248,915,975,184,
751,779,504,513,715,508,044,846,720,696,782,462,711,804,219,832,085,038,466,
919,159,919,861,180,364,590,645,909,495,337,134,450,899,445,273,485,153,486,
853,628,370,456,205,055,209,845,666,295,533,352,087,421,737,891,117,100,614,
259,512,310,210,484,460,594,165,654,534,595,255,766,807,899,576,076,329,997,
586,180,130,426,992,947,544,641,578,177,295,024,086,565,884,934,018,554,203,
052,021,931,969,829,358,490,376,680,444,038,547,015,093,606,609,138,966,246,
223,516,709,303,841,621,160,740,491,397,669,711,430,855,906,272,857,936,540,
158,462,426,137,552,428,162,964,692,025,292,740,709,669,781,180,122,984,335,
273,956,286,483,069,133,886,444,390,543,537,540,607,993,137,852,527,657,236,
499,208,337,412,972,944,384,604,472,260,737,790,775,857,767,723,763,147,919,
625,952,460,888,972,737,767,253,792,585,338,368,857,216,149,117,719,684,245,
635,266,279,416,659,753,531,342,648,291,351,668,644,024,536,866,658,686,481,
339,037,080,268,486,443,408,217,223,984,454,182,562,718,012,255,877,720,361,
797,583,728,650,966,188,512,181,541,334,837,314,983,632,179,139,597,889,505,
586,044,342,013,027,880,550,845,758,394,268,404,884,940,183,954,690,836,314,
959,181,707,063,790,481,184,621,442,889,544,017,100,862,436,542,665,531,270,
099,083,589,153,296,269,029,087,337,861,020,827,197,376,259,321,007,369,518,
660,168,917,106,310,738,155,151,609,965,436,142,066,721,646,311,109,087,328,
925,839,507,372,923,720,863,593,931,676,094,403,762,259,685,675,316,927,750,
785,610,192,828,559,778,988,897,119,961,550,762,981,627,186,460,817,101,249,
224,511,736,987,900,641,549,518,641,814,172,258,785,260,363,481,268,495,470,
001,426,606,646,296,585,091,262,709,982,494,080,193,061,479,448,724,197,316,
457,438,443,322,853,177,946,933,551,845,278,497,190,579,597,591,477,215,501,
635,119,033,543,245,803,594,634,092,828,107,114,023,117,723,846,125,962,673,
732,037,514,265,057,326,547,449,270,869,312,430,469,696,535,267,476,534,545,
308,146,449,101,227,753,260,154,673,998,056,399,008,285,688,497,546,479,493,
050,639,029,820,582,536,064,423,973,355,691,779,734,135,234,202,399,659,886,
304,647,049,791,340,040,557,021,519,519,262,178,274,489,766,129,393,162,381,
094,131,712,361,726,351,257,495,680,475,307,327,880,712,267,253,341,996,925,
658,345,855,279,029,323,656,101,651,432,208,332,771,381,689,968,391,232,641,
519,661,004,968,495,249,151,736,889,897,994,646,024,798,194,236,974,539,255,
783,663,580,106,766,155,491,403,074,686,181,065,932,104,938,422,099,187,046,
088,838,559,017,417,390,453,787,847,298,598,731,850,236,967,992,937,799,685,
607,596,624,103,996,634,579,516,374,327,195,784,394,291,934,718,696,504,615,
202,341,491,466,524,920,600,407,361,883,920,847,577,370,623,753,316,530,878,
003,536,137,517,678,145,478,038,052,255,563,370,940,348,793,606,548,654,020,
985,582,266,480,253,041,745,080,704,872,665,699,740,944,979,491,141,834,009,
786,928,682,280,746,661,913,704,831,444,927,486,846,173,420,787,538,241,371,
645,273,449,543,610,089,547,840,287,214,187,496,905,369,945,033,930,598,861,
515,254,218,445,908,871,192,972,369,843,827,503,159,240,234,594,747,110,535,
836,854,370,430,432,175,219,916,269,288,627,781,712,258,914,619,629,397,350,
688,353,891,958,423,115,485,351,674,511,121,847,786,415,647,215,942,748,941,
650,677,729,919,192,874,141,456,400,943,824,989,705,432,126,386,038,866,231,
284,489,765,696,176,446,387,013,635,800,526,664,745,362,534,388,331,912,315,
921,947,715,073,734,734,976,409,956,870,836,883,372,260,223,715,794,731,448,
092,277,472,504,424,435,209,185,596,814,318,926,315,939,229,224,660,528,313,
454,731,704,687,375,379,279,245,056,920,162,068,531,291,662,337,079,688,837,
556,926,137,836,036,537,454,390,646,220,478,955,747,936,430,673,241,151,643,
170,870,464,387,360,159,672,227,698,817,396,547,960,785,720,407,892,408,188,
342,981,190,250,110,675,134,214,633,392,968,869,339,250,483,625,447,120,457,
124,586,094,994,367,036,238,400,108,565,028,559,151,703,854,983,988,677,659,
808,427,693,632,812,285,800,956,142,800,542,977,348,420,833,880,581,557,036,
850,980,022,805,485,089,879,154,357,208,149,528,919,557,396,294,548,677,783,
998,171,514,558,427,367,296,418,063,432,575,476,593,360,111,694,379,307,460,
798,642,591,234,301,369,973,234,189,859,361,763,778,949,322,979,871,975,163,
739,618,060,164,980,958,828,779,915,657,052,655,495,909,004,350,062,464,377,
002,027,290,007,676,412,822,112,502,242,940,289,737,837,057,442,891,612,059,
682,323,829,560,918,675,387,290,566,103,279,817,859,783,248,905,486,715,952,
967,886,130,298,481,924,293,768,590,284,831,841,889,695,973,464,964,575,061,
913,183,093,705,458,597,112,537,686,433,651,727,944,718,013,114,204,997,785,
466,963,300,719,176,294,739,070,135,346,592,433,969,306,779,844,580,269,247,
945,923,003,063,925,583,791,759,598,175,505,107,257,644,784,608,474,504,742,
025,298,326,772,067,448,828,398,697,872,067,856,168,281,377,617,568,942,802,
913,957,338,705,704,796,982,658,926,235,746,723,420,848,194,141,201,841,116,
703,101,847,135,629,596,232,969,743,254,793,797,304,368,879,882,707,168,816,
501,130,349,280,785,366,586,459,986,801,673,613,325,852,490,828,333,871,550,
023,165,828,262,694,278,954,016,170,838,240,849,195,727,851,524,129,325,286,
292,747,110,903,936,689,489,557,062,383,165,213,904,771,248,536,450,156,696,
880,968,902,414,124,826,154,827,801,179,380,333,185,984,650,995,699,884,646,
513,197,949,825,039,732,600,369,244,881,653,633,945,977,297,296,127,963,830,
237,952,710,396,542,293,083,465,785,053,475,945,296,807,732,202,646,288,027,
100,420,940,988,550,672,673,939,006,154,625,188,523,342,865,782,700,305,701,
866,246,081,893,848,704,139,729,572,657,678,337,377,148,392,030,540,047,013,
277,193,480,820,689,584,665,127,319,599,599,488,230,250,115,436,497,760,210,
482,252,115,141,067,482,938,994,230,771,270,485,278,608,571,148,634,460,964,
395,093,880,549,644,172,803,228,256,635,496,207,887,587,017,535,954,703,733,
424,938,799,323,198,125,633,052,731,281,827,467,116,574,748,285,004,425,851,
050,215,294,554,735,569,282,207,417,630,230,921,147,067,633,052,929,744,241,
860,661,284,626,950,774,726,472,489,715,930,087,464,612,357,200,270,568,962,
937,315,797,285,113,877,943,037,929,460,927,960,445,718,285,258,773,532,877,
250,945,136,853,739,701,504,173,561,003,764,247,258,367,433,100,490,424,825,
492,655,556,934,038,451,699,001,120,594,543,175,117,971,059,102,637,811,832,
157,951,518,149,968,353,140,534,334,776,257,841,329,766,163,922,375,127,910,
981,402,124,913,818,632,282,147,598,142,461,441,965,617,323,710,850,620,457,
193,182,030,687,990,167,362,962,171,584,635,175,457,676,364,304,316,399,375,
864,663,125,290,104,601,787,633,613,480,550,534,446,379,619,671,507,117,436,
120,194,379,429,418,858,879,883,948,000,421,966,619,368,281,676,047,352,160,
976,213,276,621,737,101,629,228,290,278,255,396,722,262,596,401,217,775,074,
456,338,271,891,953,636,192,987,660,873,810,837,950,725,281,878,553,845,859,
138,570,381,604,173,334,912,476,728,915,760,833,288,989,607,015,012,247,717,
663,842,667,617,166,395,833,583,366,580,303,589,148,034,565,042,319,807,877,
410,875,460,321,558,146,944,492,379,824,320,900,561,068,371,423,740,871,803,
846,735,697,795,527,621,485,165,603,196,450,862,488,972,470,757,123,915,017,
755,580,141,616,581,563,548,779,533,993,084,562,365,501,352,254,823,628,815,
677,227,390,115,767,831,150,175,274,753,655,862,544,551,229,638,743,142,570,
345,382,502,647,466,373,005,258,619,536,640,242,058,151,623,287,173,062,505,
555,976,708,112,807,774,138,282,256,553,348,137,190,840,682,114,603,439,618,
639,891,574,646,874,809,305,012,827,764,921,391,324,076,076,598,171,628,645,
144,739,955,876,860,582,063,978,517,227,674,476,745,022,399,823,876,155,329,
514,647,647,484,770,919,937,224,610,882,449,276,670,424,064,445,869,348,099,
295,422,673,853,213,846,455,621,420,361,886,132,263,992,878,142,342,512,389,
976,884,397,833,119,938,108,110,723,181,304,576,796,983,885,459,909,115,469,
436,859,835,191,902,359,979,622,522,878,266,735,618,024,516,569,949,055,370,
170,882,393,665,167,615,870,833,750,410,016,540,143,554,991,089,926,614,104,
546,119,840,284,193,072,031,630,445,280,924,799,500,850,479,614,685,048,600,
007,509,163,867,163,574,819,108,557,898,737,993,572,368,217,408,642,307,979,
371,238,727,888,775,473,124,512,120,535,614,060,443,554,927,006,874,896,751,
431,957,996,745,519,965,153,830,116,465,017,148,926,938,092,098,841,221,146,
910,427,086,536,768,654,038,963,143,568,113,363,444,997,706,978,345,155,847,
955,226,044,767,367,144,620,160,728,456,290,625,654,559,966,120,945,305,885,
843,612,378,640,469,797,994,165,286,172,837,311,460,214,016,752,282,507,336,
381,692,108,413,827,879,911,179,805,457,044,262,404,086,512,608,263,542,692,
412,695,488,667,096,149,747,302,212,210,038,585,096,194,796,050,378,444,666,
970,412,840,043,660,014,309,981,280,529,369,384,754,507,291,454,500,137,724,
291,298,012,306,008,748,070,285,684,757,922,252,967,828,536,536,242,356,691,
455,184,227,956,809,399,275,305,581,232,009,456,372,395,672,172,761,705,337,
945,816,791,667,268,749,722,382,173,874,643,384,718,412,493,062,719,308,115,
539,397,138,604,777,356,231,451,485,462,243,543,708,754,860,227,931,344,976,
706,456,023,648,148,034,367,995,543,070,662,908,886,505,599,846,627,477,359,
340,835,294,180,296,710,521,789,925,834,970,861,369,488,874,705,657,312,346,
785,856,672,175,536,420,758,238,082,471,452,943,062,847,944,618,169,147,423,
739,699,437,414,305,361,824,181,243,988,151,348,233,949,928,409,065,282,206,
194,796,745,516,991,255,611,119,942,998,974,910,036,862,280,287,977,548,631,
033,180,467,782,167,273,113,173,367,454,528,486,277,543,982,187,933,375,808,
889,999,055,350,602,541,426,999,010,991,181,297,101,049,445,210,127,561,147,
814,086,489,608,263,683,380,020,969,094,899,725,517,563,671,751,426,570,200,
214,275,232,672,186,452,388,487,151,724,615,319,675,224,551,865,998,559,429,
481,005,463,392,767,993,521,055,384,076,921,930,018,429,371,302,914,533,369,
262,249,835,534,531,283,034,400,123,520,721,794,249,239,151,909,651,690,408,
466,085,821,136,136,476,362,644,193,836,839,029,735,523,672,084,679,592,919,
219,324,988,830,375,818,829,516,019,583,531,370,948,345,858,712,668,080,108,
791,659,626,051,815,198,804,542,401,594,236,242,417,444,661,073,672,363,373,
347,300,091,579,244,464,816,194,589,599,416,627,669,967,891,920,955,534,619,
706,187,842,035,977,489,809,245,540,624,130,836,610,043,258,840,466,640,836,
239,694,700,506,643,558,824,103,449,901,395,432,374,180,282,965,022,044,318,
874,843,158,632,252,428,147,554,667,419,450,099,398,121,455,182,312,871,794,
808,187,807,089,272,946,084,245,409,252,422,927,325,524,859,737,166,021,715,
140,360,189,944,591,396,227,893,771,077,589,768,037,243,414,678,219,916,662,
500,414,649,290,802,103,183,257,477,657,920,939,915,624,302,804,660,067,859,
024,709,600,940,308,304,874,245,626,516,999,317,261,081,579,431,858,718,341,
290,149,322,683,536,144,713,452,548,864,486,762,438,677,554,725,835,118,169,
307,931,213,787,323,330,637,095,779,192,340,261,528,309,792,709,291,633,821,
132,123,143,406,614,800,487,952,931,557,742,519,366,522,949,956,447,286,808,
430,555,745,222,774,041,025,043,070,104,959,010,618,049,012,621,986,236,709,
785,869,758,164,458,295,568,977,694,681,826,564,365,370,304,670,259,750,337,
427,981,222,399,610,108,311,435,079,074,967,372,367,610,984,323,599,206,447,
128,378,207,439,876,318,519,893,983,903,898,992,290,058,681,669,403,597,915,
407,436,933,321,690,205,873,757,032,281,938,468,752,883,831,901,521,582,665,
896,255,068,280,267,324,074,481,949,081,059,106,820,053,235,058,695,245,349,
410,816,400,101,220,728,380,336,569,789,940,713,111,357,463,095,984,214,123,
391,524,068,265,278,068,812,900,222,384,444,591,227,500,436,410,060,168,311,
440,991,529,466,085,064,127,280,410,676,074,779,684,426,153,504,515,530,795,
176,321,984,983,813,905,795,845,457,730,551,975,673,979,687,865,223,906,565,
328,431,663,972,919,242,945,678,221,437,983,029,140,466,073,824,564,759,479,
869,515,464,953,436,565,609,359,987,232,850,567,601,808,798,183,231,145,181,
006,725,569,586,117,367,506,769,474,009,138,547,773,836,044,494,698,305,073,
444,297,452,741,145,095,417,471,773,294,503,822,906,886,670,347,963,713,610,
647,907,356,847,289,266,815,668,041,983,812,820,965,444,187,059,320,508,583,
408,649,794,830,715,986,565,371,239,548,358,293,571,995,463,509,552,127,338,
490,156,761,658,713,132,728,046,434,066,621,620,153,300,783,322,406,671,813,
670,989,532,909,012,470,101,787,020,698,305,923,431,990,099,764,950,669,167,
311,327,991,976,691,892,720,431,197,018,274,961,826,614,505,777,465,605,105,
124,541,613,651,828,147,433,206,086,623,478,576,588,760,563,110,210,163,241,
101,660,652,695,899,170,028,781,496,476,688,251,436,583,269,998,149,812,070,
770,486,654,430,539,495,364,175,795,951,299,109,332,008,641,397,478,774,620,
568,657,429,558,402,377,880,616,159,960,976,152,488,905,115,680,060,301,058,
350,019,635,588,684,272,832,929,280,298,767,044,861,173,299,418,793,824,346,
657,339,181,566,562,332,087,372,391,309,629,670,447,142,432,109,416,981,300,
780,054,233,745,294,558,603,921,306,494,628,408,273,278,739,984,106,049,304,
381,839,743,885,620,279,454,765,737,834,145,820,719,408,392,497,577,848,083,
314,749,917,649,791,776,714,528,941,876,945,117,596,607,231,422,840,440,845,
734,740,625,692,455,482,023,081,010,228,257,001,545,875,946,227,615,788,297,
359,874,445,853,672,314,350,658,586,891,949,426,311,252,672,241,715,884,788,
929,166,024,712,957,511,919,498,998,823,738,841,861,900,511,943,011,036,162,
405,281,910,880,738,138,887,614,194,486,496,356,416,758,558,956,273,397,323,
007,392,172,494,605,508,873,177,832,019,628,490,179,957,661,361,994,438,534,
289,325,519,796,393,884,888,983,570,885,133,523,044,721,346,656,653,394,462,
927,464,759,414,723,744,648,626,809,026,322,306,245,543,980,487,038,698,276,
408,097,371,164,901,235,404,805,649,455,589,431,295,556,225,625,918,789,251,
067,394,879,082,342,902,363,632,987,644,381,497,754,735,932,572,598,297,217,
729,948,759,154,304,746,848,127,385,830,607,533,227,501,700,497,178,342,312,
053,402,919,828,882,222,517,419,542,517,096,582,385,544,163,843,001,840,294,
033,473,486,738,434,448,931,868,596,527,416,593,632,299,370,567,594,790,827,
432,667,599,325,114,620,355,440,611,613,736,303,570,606,373,978,855,789,756,
723,855,938,856,008,227,876,428,834,556,530,720,147,790,327,509,008,102,270,
392,931,501,249,247,719,288,472,927,578,842,850,804,199,253,688,534,954,662,
320,905,517,222,436,089,767,805,976,245,266,459,768,374,054,034,350,180,168,
605,069,893,636,405,412,399,494,006,794,804,957,787,784,743,715,842,952,736,
118,911,554,683,040,114,625,762,187,460,082,240,663,391,283,592,820,499,553,
560,198,648,696,667,149,611,268,227,507,522,455,899,201,633,998,678,807,446,
675,981,747,393,030,317,281,948,674,834,242,557,639,734,146,831,405,805,021,
108,940,758,684,083,101,606,075,812,434,639,834,650,679,803,407,752,350,568,
869,059,777,873,426,071,843,342,142,155,404,227,261,748,513,626,721,604,944,
886,269,463,141,825,141,182,148,967,844,736,031,360,822,005,019,382,745,555,
582,731,115,834,016,002,639,481,025,915,999,170,393,993,146,666,017,859,601,
499,547,572,036,173,346,992,264,257,573,817,115,933,417,593,762,204,323,114,
918,281,933,787,994,892,462,373,150,802,930,919,839,100,635,080,946,959,112,
332,801,482,224,335,302,062,939,177,217,047,785,621,378,849,673,152,418,775,
715,210,602,663,012,209,217,752,224,025,035,635,166,446,804,530,338,355,876,
672,329,395,242,223,181,450,781,059,551,381,259,995,319,205,367,800,576,384,
822,879,106,961,831,524,536,491,157,775,248,032,475,232,267,921,068,918,852,
631,144,550,193,775,025,712,549,311,897,879,925,510,550,326,648,405,274,939,
890,351,020,270,448,027,207,228,741,914,484,126,382,245,139,198,520,669,597,
235,187,034,138,197,902,812,853,335,000,737,655,165,295,185,691,669,534,546,
968,381,576,219,108,062,676,371,699,269,006,965,188,747,875,114,484,818,694,
767,891,117,893,500,245,135,015,137,312,844,602,361,302,117,954,842,291,709,
779,196,641,158,715,348,121,075,046,552,289,309,237,611,749,583,375,383,847,
269,143,698,425,399,320,898,685,217,395,400,658,792,656,614,425,406,907,584,
623,218,217,522,628,160,121,577,492,051,749,676,361,057,436,573,924,943,348,
454,793,321,316,003,439,705,672,249,299,950,351,465,107,641,330,396,994,341,
660,838,328,649,041,812,428,093,770,123,174,508,830,469,028,613,904,304,503,
786,197,890,275,961,902,581,366,694,387,607,400,026,266,502,087,783,561,632,
455,975,073,406,859,823,637,879,648,902,615,160,056,078,610,602,581,118,807,
652,719,166,941,422,949,687,916,510,804,217,595,149,199,610,353,714,534,302,
736,936,257,471,632,681,624,485,497,095,209,808,866,191,686,635,411,189,013,
808,591,928,373,232,769,030,541,480,409,210,270,903,501,636,805,518,348,877,
003,377,203,574,414,658,111,633,920,000,098,591,852,478,060,510,867,599,257,
044,501,341,729,931,365,170,373,114,622,225,851,649,614,980,847,236,886,769,
285,464,383,660,708,214,510,619,172,815,945,824,488,192,238,192,557,309,481,
087,897,008,323,944,638,460,721,590,646,756,674,817,155,081,106,776,783,004,
874,899,341,365,912,105,333,874,312,178,340,894,505,788,900,818,890,670,341,
597,079,187,444,321,798,120,725,286,883,437,016,031,819,062,343,117,883,994,
356,062,506,613,555,521,501,637,600,430,964,515,266,704,442,981,990,342,230,
459,605,801,710,951,005,631,104,767,619,018,487,448,604,054,300,832,547,287,
383,253,482,031,677,557,094,470,142,201,617,948,603,094,920,513,861,413,742,
410,230,089,157,696,309,917,870,354,026,714,108,822,511,718,405,012,391,623,
670,260,621,412,048,057,403,244,424,290,315,541,776,342,526,443,225,679,810,
758,143,883,089,499,750,334,959,125,443,941,372,410,628,773,329,472,737,192,
199,321,363,028,807,287,404,678,432,391,239,428,825,788,367,610,803,302,393,
679,981,507,405,237,149,169,740,301,863,940,555,720,077,039,723,606,629,773,
631,572,668,774,555,515,646,115,963,182,868,830,091,657,161,958,654,066,122,
114,210,809,889,584,516,780,890,454,595,771,089,640,800,704,524,427,000,401,
782,805,092,573,423,990,855,765,229,600,759,227,747,210,854,668,803,096,612,
949,314,535,783,294,670,487,710,839,563,076,199,504,774,079,080,245,926,383,
747,352,647,123,137,822,394,560,700,705,344,870,443,288,492,477,471,322,596,
875,506,594,250,890,432,090,360,491,517,386,055,072,314,305,337,950,990,059,
286,141,084,250,411,071,771,470,550,838,418,237,547,596,158,538,704,149,337,
237,748,893,288,198,308,167,886,684,754,319,882,558,815,677,878,153,692,197,
725,144,957,499,415,075,501,331,246,154,473,333,319,502,975,150,810,042,968,
649,847,756,421,288,536,992,966,078,856,700,214,001,752,554,448,553,874,148,
645,406,460,796,981,423,751,597,641,633,734,358,013,479,925,370,794,674,376,
755,357,046,672,399,767,709,776,188,020,212,066,601,095,353,565,528,568,432,
421,240,822,204,417,064,166,853,222,948,645,694,880,642,885,209,670,265,579,
027,202,503,948,498,866,887,278,928,643,806,783,828,996,442,069,121,432,799,
358,547,618,869,603,889,565,942,125,274,403,726,922,315,204,408,301,829,118,
660,627,831,604,472,038,347,690,203,790,627,826,332,078,366,188,689,998,388,
896,522,117,555,341,543,980,604,874,027,338,432,650,200,426,751,611,998,817,
902,391,839,205,714,743,807,880,352,576,579,103,782,561,037,650,344,204,936,
154,946,262,761,020,313,125,911,810,521,358,844,715,100,282,752,776,645,738,
627,454,044,265,874,881,484,956,886,437,899,370,866,939,817,959,664,181,908,
809,856,290,603,835,462,274,604,454,742,611,094,723,698,366,932,512,430,646,
985,663,428,953,663,146,878,635,085,912,267,021,561,266,084,768,389,465,229,
884,393,675,087,987,791,810,824,561,053,831,604,416,514,614,990,254,526,062,
294,815,286,970,267,348,053,639,288,745,883,177,397,804,198,163,072,321,040,
266,525,776,393,619,911,403,861,249,274,521,343,629,279,103,239,293,690,561,
266,866,020,152,605,512,299,870,540,437,451,392,581,993,822,608,505,971,116,
498,609,847,450,533,906,681,051,757,004,470,428,823,822,215,821,489,310,814,
817,280,150,456,947,751,464,456,428,826,625,140,857,394,231,562,704,749,511,
942,261,049,951,856,834,478,693,858,839,795,709,961,610,880,870,335,208,161,
115,806,449,920,846,848,482,985,545,043,171,142,307,205,198,108,813,860,202,
957,939,773,894,576,608,961,674,131,959,787,046,316,260,656,014,885,018,067,
762,945,117,797,679,146,293,484,130,790,416,471,431,289,362,878,702,203,587,
362,022,513,526,088,258,892,867,989,877,383,731,286,863,503,271,150,968,836,
224,569,730,676,872,809,769,431,678,735,328,989,434,840,459,906,742,522,921,
060,386,461,805,783,627,986,617,678,617,592,105,089,634,620,579,984,328,235,
005,685,069,398,092,743,140,920,700,117,856,115,786,088,576,275,406,397,058,
604,123,010,465,208,844,782,374,115,083,532,021,448,389,344,940,866,157,254,
915,113,680,337,328,702,084,520,517,328,320,031,378,494,832,669,089,780,899,
337,970,232,426,651,599,677,371,612,154,666,551,137,021,464,309,567,750,739,
089,429,216,331,402,618,841,430,585,929,097,746,821,276,149,282,831,593,368,
540,838,376,351,848,096,117,096,841,675,258,157,103,769,787,036,106,377,185,
885,886,252,299,385,587,356,437,903,991,687,650,799,118,905,224,292,678,677,
800,829,515,995,381,525,953,558,995,733,991,880,343,774,847,993,273,276,472,
612,736,103,212,343,875,940,751,507,158,148,027,461,773,497,032,145,447,089,
439,856,710,963,837,189,892,657,398,393,145,105,356,593,604,107,495,698,993,
575,908,125,644,978,237,560,465,466,757,211,535,444,723,943,345,479,433,185,
293,942,041,306,152,401,843,046,809,621,392,158,366,665,267,560,409,560,315,
487,697,921,346,530,129,281,047,086,180,806,767,167,721,083,074,182,470,209,
649,945,555,069,465,498,559,331,582,913,715,702,024,415,258,243,333,058,513,
401,778,241,901,764,343,373,340,107,125,104,812,732,661,584,698,532,831,408,
009,303,377,406,575,101,688,660,954,727,120,873,121,925,825,644,238,596,963,
948,089,811,014,060,710,041,766,660,784,929,983,925,953,810,033,239,509,435,
458,797,248,500,300,884,684,470,553,239,699,704,967,312,551,640,376,580,081,
089,403,519,998,515,295,235,528,493,240,967,910,408,890,052,185,579,897,169,
577,833,788,529,604,218,889,316,049,622,361,294,194,165,815,437,005,312,188,
239,136,300,926,065,235,544,526,015,935,315,377,606,403,547,513,127,955,132,
402,222,090,090,144,329,503,707,425,281,682,088,800,974,650,476,502,046,955,
150,686,029,349,468,013,644,260,747,956,619,991,054,883,745,579,494,605,549,
227,414,435,769,331,784,265,867,228,130,742,167,497,292,787,302,955,659,594,
155,974,052,622,133,456,380,727,215,659,689,657,789,383,210,963,215,167,569,
103,941,910,277,125,738,207,726,322,248,669,849,274,908,535,799,615,089,845,
075,935,755,424,233,485,087,165,303,973,741,792,239,417,072,151,669,911,159,
605,652,101,418,815,868,282,765,691,890,110,723,228,241,886,266,470,735,602,
789,075,318,915,739,123,410,815,842,114,827,698,969,231,992,323,616,622,836,
444,136,501,648,835,112,386,643,919,288,032,378,379,290,853,837,815,187,593,
649,030,865,111,053,188,971,794,957,611,461,833,633,251,073,001,703,444,645,
254,221,677,252,157,682,033,030,957,029,776,360,996,899,283,913,035,692,059,
744,303,825,998,379,724,718,225,143,125,624,646,772,648,591,826,722,370,959,
348,180,599,199,801,090,667,442,904,843,549,274,456,497,400,079,169,914,173,
628,305,588,841,565,862,567,731,478,106,880,675,324,020,686,567,915,315,498,
170,140,097,767,551,269,902,562,144,546,848,823,546,836,253,200,056,740,871,
178,829,375,156,728,379,431,044,556,561,228,435,046,839,482,709,757,987,125,
768,264,167,733,382,965,927,437,174,178,063,675,081,658,284,344,899,375,626,
868,701,594,213,522,221,625,617,581,538,952,348,756,982,745,793,757,675,089,
489,211,925,407,863,497,460,317,776,833,117,759,261,397,764,176,781,574,855,
902,085,404,674,887,297,442,944,161,399,268,713,578,752,893,925,471,252,338,
138,900,150,067,418,283,346,316,703,890,700,641,052,589,172,004,033,423,969,
933,073,237,235,148,631,697,875,767,542,064,995,344,091,099,200,409,656,268,
779,555,280,371,726,319,927,265,940,109,962,699,872,201,501,554,447,709,587,
870,639,457,128,057,385,415,061,861,469,309,570,684,523,490,292,752,737,026,
480,869,318,137,165,233,371,528,029,803,600,025,338,428,541,214,853,572,019,
619,595,218,838,589,003,375,497,328,957,274,091,035,885,925,982,290,699,561,
893,284,970,604,853,088,935,760,623,664,402,111,251,274,312,012,058,851,004,
793,258,313,308,049,941,460,902,927,816,569,856,886,928,973,672,220,515,075,
505,208,789,939,047,803,278,477,074,956,995,827,990,792,390,857,054,004,846,
039,242,712,955,905,397,762,206,475,241,326,688,714,177,728,680,132,852,444,
094,633,296,744,445,816,384,136,544,369,788,862,258,592,886,377,377,601,051,
202,625,813,898,411,116,485,565,109,322,594,534,139,267,199,701,291,067,734,
122,479,474,132,584,595,248,486,033,020,674,497,797,954,056,061,236,998,555,
946,056,634,658,721,636,722,582,292,942,509,981,855,171,597,661,555,008,291,
447,718,753,721,395,832,724,125,605,084,748,836,001,233,065,043,629,187,976,
542,220,683,088,702,347,377,141,858,660,024,911,481,356,818,852,365,118,537,
888,964,512,611,417,418,652,618,481,172,690,965,168,079,673,055,572,972,812,
377,930,163,679,643,598,385,259,615,574,103,614,592,111,920,327,994,383,398,
102,524,354,983,436,970,528,197,162,934,051,323,576,711,047,167,108,765,430,
599,582,711,202,927,668,899,386,968,164,032,605,763,602,119,016,152,400,578,
671,583,458,685,488,460,026,058,267,317,828,469,169,372,212,105,722,915,612,
364,697,367,031,939,213,986,769,039,052,475,319,133,630,048,278,284,533,254,
726,488,029,092,969,960,894,598,089,060,501,516,982,264,786,138,884,054,381,
256,641,075,474,066,343,976,495,957,833,089,332,634,297,503,427,020,984,109,
008,979,041,353,674,782,497,688,028,452,781,809,435,647,633,942,886,886,136,
015,070,286,987,379,784,614,358,923,659,107,274,304,639,288,818,821,698,507,
093,445,784,789,929,536,754,030,787,257,823,686,655,331,621,490,954,580,170,
686,786,322,580,221,700,474,803,390,851,586,318,462,040,845,260,788,215,656,
228,941,835,167,954,417,355,149,950,309,137,983,498,689,875,637,703,908,178,
763,830,818,110,326,042,136,295,176,131,000,145,926,046,759,367,463,817,073,
341,122,170,010,033,041,427,298,365,101,288,153,128,883,197,258,521,313,521,
561,437,091,392,169,452,839,502,541,561,737,032,209,692,052,401,056,195,666,
266,516,185,165,543,276,527,428,092,549,086,588,533,784,770,713,640,383,363,
374,257,067,908,771,644,267,596,439,672,604,333,202,083,538,933,195,649,638,
461,283,856,821,024,651,138,888,488,694,800,276,443,938,068,085,393,081,930,
673,610,860,157,233,493,882,336,295,833,597,766,628,392,866,205,507,526,643,
986,414,351,232,205,597,129,867,129,263,261,313,650,104,560,514,627,255,266,
780,872,401,143,224,161,649,316,074,982,919,867,445,774,702,268,589,289,438,
060,898,400,092,845,616,216,764,340,603,478,531,041,331,709,779,947,799,751,
300,364,758,225,718,000,970,361,871,056,377,483,568,543,514,863,070,635,965,
633,053,746,213,239,817,602,688,354,349,570,791,785,541,716,256,424,301,487,
211,393,136,127,492,051,329,385,796,431,685,657,798,425,788,359,254,313,459,
834,891,324,744,461,723,042,441,700,645,832,155,139,290,397,536,198,784,535,
364,680,612,168,962,347,413,895,384,267,652,687,690,087,459,623,602,919,374,
117,884,480,313,454,646,089,830,561,021,454,756,482,157,371,772,970,425,428,
244,588,000,035,724,777,251,029,607,259,294,850,444,424,499,485,176,339,538,
167,072,804,152,377,338,149,167,397,208,543,122,646,193,477,861,919,360,734,
317,167,771,853,751,661,401,313,819,336,815,080,197,727,950,187,865,893,182,
692,714,158,692,102,230,662,494,283,669,141,734,093,347,759,106,375,455,609,
448,984,108,767,989,780,504,261,339,575,551,630,731,947,063,692,301,907,283,
374,137,460,026,647,833,827,382,326,201,713,168,543,431,451,859,726,387,898,
231,120,989,651,914,108,559,010,927,041,466,676,103,610,877,979,755,247,055,
262,567,080,163,848,039,373,927,059,058,834,974,810,666,704,253,025,361,408,
743,760,689,718,744,857,565,213,916,274,841,137,374,789,539,664,632,299,634,
362,838,025,975,350,545,476,448,724,447,318,271,981,236,242,867,573,934,962,
244,038,850,863,118,706,987,546,233,807,242,343,773,213,286,214,523,977,986,
446,962,223,268,488,519,670,670,966,187,031,234,033,504,423,354,616,341,078,
835,100,620,849,472,625,263,180,824,681,531,413,417,910,833,394,793,676,800,
940,897,364,714,728,563,643,177,480,567,422,641,632,935,211,453,692,794,875,
319,138,258,229,380,164,408,447,972,221,058,046,849,543,766,955,623,202,207,
110,718,369,203,262,069,680,603,755,550,653,955,597,203,490,124,625,016,634,
160,762,274,443,651,959,498,525,740,162,900,397,169,322,069,268,217,883,223,
309,011,821,219,632,205,008,168,468,210,896,019,246,755,579,670,909,745,754,
995,957,723,764,420,564,906,102,516,753,379,370,264,902,425,478,658,458,356,
096,330,078,177,143,862,586,412,321,416,226,691,880,676,355,839,429,984,195,
082,028,956,198,130,748,484,529,899,701,739,543,616,711,269,928,583,178,953,
266,702,288,172,356,246,828,855,838,458,821,571,738,712,139,126,597,609,994,
283,554,370,147,624,987,253,202,328,517,045,388,191,459,166,576,230,253,602,
708,277,733,828,819,430,143,432,892,211,857,416,465,853,593,408,365,400,979,
075,940,220,934,686,204,606,759,364,349,849,060,632,866,323,066,831,808,346,
172,864,161,747,283,727,105,398,945,997,686,245,291,195,428,002,906,866,868,
690,483,676,008,708,149,461,322,302,612,150,611,821,405,761,645,206,523,146,
470,562,227,879,180,644,919,882,330,333,397,619,861,595,153,663,176,659,419,
596,264,625,353,865,402,961,349,209,229,264,336,423,455,174,195,419,905,974,
933,383,966,266,329,918,489,772,246,914,880,247,250,370,591,472,839,017,979,
406,578,249,492,327,574,843,323,465,693,758,432,601,768,586,215,820,230,124,
281,012,636,436,073,590,000,070,519,204,630,939,080,356,510,606,891,855,196,
254,445,034,729,553,732,734,229,117,901,077,826,648,528,519,925,616,112,532,
897,001,684,807,066,281,070,741,815,076,936,119,945,146,362,389,212,932,424,
377,640,894,798,701,652,690,027,661,567,261,311,062,599,304,600,095,813,594,
713,160,793,692,939,940,357,866,377,181,277,776,078,475,198,299,007,334,189,
863,953,600,472,378,718,440,162,131,124,090,396,849,285,528,919,621,731,425,
965,491,649,657,963,195,122,317,279,855,265,337,655,328,686,809,889,183,721,
435,379,541,742,119,048,400,352,758,484,585,091,218,328,676,047,669,989,317,
922,442,153,445,693,373,579,464,227,994,886,947,871,031,057,236,901,257,493,
352,816,134,502,727,218,201,693,532,434,699,100,982,896,064,028,777,933,998,
385,490,655,618,681,713,026,359,146,484,031,940,967,942,509,091,638,995,655,
942,801,777,195,009,046,287,370,318,790,105,226,199,075,768,531,415,118,505,
424,388,285,729,874,219,540,565,885,045,737,562,833,556,267,089,421,520,409,
876,006,725,822,317,303,502,343,097,331,224,290,801,503,726,308,897,953,995,
697,877,093,815,340,395,938,617,217,271,659,722,981,715,130,171,267,381,938,
634,329,268,891,217,886,704,682,517,369,674,332,362,777,569,550,746,304,471,
519,334,343,578,535,293,230,206,059,343,092,843,458,978,655,921,958,656,286,
142,841,595,107,321,432,897,975,510,340,359,004,705,992,942,717,356,898,629,
303,810,804,599,183,059,362,841,618,835,728,011,763,075,958,565,186,052,076,
696,806,148,703,483,191,439,274,837,433,460,382,801,165,984,213,024,240,813,
734,730,741,738,790,942,111,507,343,905,733,926,429,710,582,861,940,475,884,
635,700,414,623,322,095,749,183,944,101,080,584,905,047,487,659,397,856,440,
646,944,779,708,620,095,054,944,139,121,599,138,159,824,869,073,704,912,328,
185,047,903,674,758,012,439,886,186,691,239,863,075,743,413,426,764,882,410,
328,841,772,523,810,231,262,808,788,120,177,199,670,776,891,318,462,526,743,
522,843,405,422,227,256,384,499,320,115,995,147,424,863,259,204,790,635,445,
398,116,296,704,562,732,831,960,673,268,278,366,214,560,006,024,577,950,680,
250,655,891,730,302,620,510,986,854,833,656,250,922,759,434,050,095,694,390,
774,655,181,580,203,814,075,300,151,732,373,440,226,437,939,494,419,009,061,
590,130,993,864,817,994,740,065,413,157,691,086,108,502,667,198,507,459,735,
897,104,871,609,210,901,544,003,940,609,622,386,264,187,383,670,387,804,344,
979,239,655,109,256,939,670,962,239,803,669,578,872,033,788,866,165,222,592,
938,914,071,191,080,685,137,979,786,188,600,161,152,848,137,177,449,720,657,
137,182,278,792,634,870,403,630,839,744,783,374,035,570,156,443,369,400,405,
166,225,586,795,544,923,872,246,577,092,758,178,378,142,174,775,577,053,577,
394,618,604,795,714,891,986,439,860,128,143,885,437,045,952,000,894,435,035,
272,353,443,679,813,220,475,608,021,501,333,246,797,887,127,732,526,689,852,
344,728,639,918,953,415,002,265,511,431,002,747,939,683,572,274,631,887,350,
101,020,446,430,680,390,163,193,750,331,647,442,826,331,831,214,011,649,661,
742,174,641,495,327,939,843,967,760,048,286,002,646,598,938,431,574,484,680,
922,260,184,130,611,254,668,260,765,455,237,214,485,884,281,826,670,730,376,
113,417,635,627,049,345,241,188,189,951,658,434,963,563,507,834,955,543,734,
200,664,126,207,971,905,783,638,843,709,335,106,445,560,120,639,652,903,989,
962,119,169,322,847,597,099,113,321,790,592,450,784,686,041,380,969,059,445,
291,948,314,828,389,517,204,389,299,988,365,716,425,603,047,910,284,838,844,
859,382,545,068,509,411,022,804,256,513,889,591,002,897,367,522,289,235,141,
819,329,288,412,524,021,032,072,322,526,734,920,149,768,327,497,551,262,934,
456,666,680,562,851,681,752,495,013,559,775,765,086,267,551,927,351,916,301,
341,370,911,844,430,817,497,298,748,872,544,713,314,820,472,898,569,482,266,
361,303,667,221,413,277,649,808,484,447,432,220,950,347,875,011,277,004,578,
763,561,135,543,440,602,101,944,776,288,471,848,090,544,102,577,598,101,295,
976,224,384,714,178,621,678,237,289,554,886,353,082,695,555,292,324,415,116,
173,066,005,896,186,697,631,328,142,550,247,165,583,724,017,205,371,280,929,
457,614,482,528,256,045,857,075,126,005,544,368,343,337,012,310,699,889,010,
173,218,696,698,701,380,140,727,948,857,750,375,847,493,363,547,168,302,471,
520,461,915,796,844,562,641,588,549,937,922,440,685,438,843,607,747,966,326,
781,912,387,379,026,592,477,222,508,844,335,975,378,482,939,025,737,263,461,
516,685,554,427,866,508,396,552,226,686,012,264,228,780,280,256,641,911,068,
571,790,592,682,649,279,566,486,805,147,693,906,104,099,399,296,619,369,212,
583,407,007,941,823,530,200,573,669,602,591,462,428,651,712,094,582,105,788,
477,646,429,480,660,915,356,739,730,102,456,712,203,809,144,926,340,635,215,
870,899,267,283,842,964,594,707,674,523,834,209,639,547,278,185,381,008,419,
158,001,740,690,661,314,052,277,016,332,195,051,207,053,030,255,337,019,201,
961,544,238,169,793,506,923,400,564,782,270,643,868,048,943,703,265,747,217,
432,875,787,854,249,559,474,986,849,887,005,124,855,517,652,235,647,006,993,
696,180,018,215,324,427,020,264,925,156,224,184,127,289,609,157,600,794,761,
989,493,287,036,629,384,364,142,227,255,707,168,303,097,739,270,949,141,386,
625,882,160,808,758,792,261,401,472,024,897,026,033,052,323,003,478,399,130,
523,792,125,874,220,518,846,032,736,500,103,994,010,303,850,840,582,018,696,
417,112,565,388,512,230,497,196,991,413,210,733,397,995,118,522,635,404,132,
916,138,383,219,044,353,013,338,142,415,460,982,474,967,543,621,155,339,122,
793,548,456,711,198,367,087,867,480,759,113,801,599,498,105,789,219,972,653,
710,378,906,881,722,319,645,625,115,321,406,674,156,264,185,718,606,022,250,
401,568,364,825,866,378,837,352,085,518,716,595,230,762,086,337,310,530,800,
128,000,872,986,481,114,585,973,084,424,572,037,578,793,474,083,757,397,053,
912,615,287,884,475,982,169,779,296,818,160,788,583,956,535,222,417,724,603,
265,952,358,436,977,244,834,801,800,710,240,369,378,783,457,937,151,351,619,
146,361,265,597,312,547,692,741,851,168,683,305,233,822,771,525,206,785,942,
197,561,970,544,815,557,215,066,117,681,678,367,162,383,406,526,361,263,577,
181,826,321,920,536,403,005,143,434,784,821,248,267,733,961,346,044,929,749,
589,666,597,540,684,574,822,366,473,860,984,441,885,473,428,546,198,640,946,
130,346,162,244,193,200,041,565,873,605,531,778,661,789,348,689,358,103,599,
836,680,030,886,880,666,945,932,782,910,829,745,762,372,718,597,586,311,734,
047,277,003,823,153,611,699,838,106,270,585,910,554,189,247,764,902,705,639,
751,123,042,172,270,663,713,039,974,053,116,870,548,280,141,931,828,738,503,
690,113,111,996,535,991,879,803,603,186,365,749,105,092,265,311,372,885,285,
760,299,830,552,368,282,701,545,535,712,723,605,132,465,320,830,630,301,723,
780,176,671,142,707,558,291,189,544,882,768,811,445,427,504,398,949,612,050,
138,395,671,073,078,872,352,979,614,762,304,910,281,889,309,092,837,345,172,
455,993,397,254,311,202,355,638,403,662,160,890,166,522,980,300,169,734,705,
243,422,843,863,629,993,442,333,100,529,582,934,409,762,301,590,770,859,452,
320,423,682,679,981,605,026,188,863,484,054,646,985,509,050,657,925,113,571,
375,891,974,066,716,154,116,556,706,539,673,528,851,922,451,157,780,121,870,
320,967,973,029,749,545,052,826,701,343,323,746,899,971,933,670,460,067,386,
577,668,740,257,583,583,681,496,253,006,867,977,362,784,507,092,625,839,296,
214,659,328,206,166,654,087,116,124,384,765,199,998,672,276,548,743,711,980,
391,923,958,750,353,275,457,244,294,806,767,599,124,453,235,158,178,912,975,
013,232,446,603,280,656,307,308,087,729,399,049,252,324,762,311,563,575,006,
181,292,490,500,086,443,755,833,183,137,659,146,254,008,634,678,533,379,886,
655,482,377,968,694,345,209,950,800,798,643,463,937,618,063,213,083,406,173,
500,549,464,689,123,469,550,270,940,591,268,031,155,072,634,662,192,800,252,
552,077,989,707,529,906,424,939,928,937,202,251,052,381,871,260,924,643,632,
649,246,138,352,018,083,512,583,169,582,236,277,152,480,307,671,787,839,382,
136,772,677,275,766,458,503,777,315,187,377,727,010,395,446,768,258,912,855,
846,846,742,307,730,152,074,133,407,676,553,186,046,975,237,908,081,344,482,
112,866,488,072,714,530,014,798,739,184,815,600,889,339,152,352,099,247,267,
895,265,042,788,331,558,113,645,791,459,124,715,281,104,266,582,331,223,017,
232,534,709,548,389,545,254,466,192,990,463,225,297,688,300,168,871,300,265,
751,394,253,345,310,794,711,355,930,955,794,179,587,037,061,111,965,962,915,
448,752,653,739,848,571,013,879,506,452,381,993,964,473,603,517,858,616,834,
887,568,979,292,070,728,571,797,267,450,219,285,951,969,674,419,328,427,399,
711,138,427,378,867,172,307,207,270,716,713,436,404,053,371,430,163,164,536,
299,342,809,010,709,809,523,906,566,999,702,989,847,615,071,375,399,453,087,
252,552,694,709,782,117,648,143,461,499,086,968,770,654,624,280,646,539,704,
645,686,437,747,275,593,207,354,850,648,173,780,352,193,815,913,443,530,708,
032,457,059,883,328,014,191,213,341,375,825,122,179,815,541,197,807,646,115,
268,626,920,467,224,057,382,910,161,365,905,477,331,161,491,761,996,354,597,
509,750,913,486,060,911,817,651,730,240,763,456,002,279,804,225,272,952,731,
220,799,140,803,507,993,237,512,044,480,010,832,178,959,996,165,610,565,257,
480,624,331,250,387,373,352,795,176,663,810,280,727,170,348,295,998,425,407,
547,010,670,946,061,969,574,434,757,278,998,116,124,163,532,920,054,529,033,
459,381,980,296,675,479,684,650,462,305,755,252,796,740,027,572,092,948,322,
368,020,632,120,916,304,802,954,074,591,116,493,266,990,015,645,683,383,450,
453,327,286,961,531,655,623,781,412,469,477,949,563,387,422,993,929,298,471,
213,788,387,983,209,851,664,225,836,951,266,268,536,574,504,754,991,953,282,
833,246,519,065,521,367,879,409,042,509,765,601,379,840,880,659,840,184,726,
438,126,804,116,009,592,959,479,968,359,022,523,862,850,490,670,638,940,408,
745,216,595,465,196,881,337,851,696,796,764,358,756,086,154,439,886,906,999,
660,877,827,567,858,638,133,672,043,003,984,457,764,098,058,017,540,260,432,
369,095,404,572,331,095,004,700,800,797,419,356,952,306,703,198,129,046,389,
752,691,628,774,294,571,391,917,998,112,146,705,881,312,205,866,833,762,592,
289,239,366,564,721,572,196,095,932,823,884,585,080,228,201,376,517,650,176,
153,236,714,542,268,957,303,716,711,552,910,247,686,799,433,528,797,740,623,
612,459,151,445,361,401,496,730,768,956,277,840,031,835,660,854,565,799,432,
973,452,293,512,488,782,575,034,013,240,059,204,954,784,719,441,066,761,960,
706,723,543,272,378,716,095,678,252,308,697,598,229,579,373,730,268,377,909,
967,062,309,383,624,704,430,290,480,432,978,637,899,860,236,330,894,320,942,
858,788,883,229,950,667,999,462,605,718,082,505,665,552,973,638,707,864,817,
412,823,559,996,082,352,384,485,333,559,139,386,596,953,764,031,491,661,331,
831,666,485,142,216,434,529,733,592,925,112,820,441,848,504,025,598,657,190,
629,178,014,726,460,432,062,487,040,357,743,471,772,430,713,595,996,312,641,
316,373,922,607,292,206,043,586,369,961,951,863,785,005,487,568,157,581,466,
807,986,201,020,472,954,300,095,838,601,492,488,247,446,047,462,208,266,618,
341,260,413,736,551,873,754,941,847,196,529,653,000,659,100,245,866,385,354,
577,173,838,448,476,272,369,216,541,928,864,976,475,816,057,685,704,563,270,
879,638,443,492,868,724,588,901,315,847,677,365,084,919,300,214,763,829,623,
573,632,031,448,555,905,685,661,507,163,822,917,958,878,694,263,327,411,579,
437,503,737,038,573,868,384,712,705,357,999,065,536,825,050,218,477,519,765,
166,820,895,402,595,306,185,653,584,998,774,993,398,555,921,102,721,291,597,
808,894,665,214,252,729,208,814,884,476,114,657,142,585,511,619,809,686,839,
383,094,839,029,465,265,596,904,099,048,529,986,185,291,801,931,951,900,462,
563,230,180,808,604,576,418,029,622,603,784,559,533,495,743,955,879,524,128,
927,721,490,175,961,159,267,831,979,193,597,283,629,216,015,546,492,747,431,
070,352,495,534,703,790,562,888,921,688,106,702,249,511,549,635,683,691,241,
521,934,564,227,096,399,749,592,863,644,656,694,739,479,059,225,957,510,305,
030,249,020,911,336,366,677,982,385,329,856,249,934,266,758,318,423,726,361,
158,787,985,341,119,452,456,452,252,258,013,426,846,847,353,411,194,340,973,
956,716,202,376,497,350,411,239,598,713,516,728,615,519,883,709,893,529,692,
078,808,000,694,109,511,395,587,842,231,442,218,318,249,151,811,419,750,461,
189,277,756,376,777,490,464,476,189,249,702,778,944,304,689,614,692,141,427,
547,204,326,264,986,480,141,538,949,336,286,910,943,200,106,640,484,884,856,
950,867,563,742,936,818,030,018,499,435,399,412,201,851,208,695,999,716,119,
181,405,270,909,360,889,549,409,263,313,304,750,626,253,582,409,598,484,196,
753,887,975,042,093,196,467,103,306,118,191,482,029,728,397,124,048,018,668,
076,850,337,171,903,538,363,365,383,259,477,781,290,005,014,203,590,826,129,
853,176,733,208,521,182,083,707,157,120,944,853,754,343,924,235,545,971,124,
335,603,101,981,004,367,793,345,437,560,808,133,436,661,691,787,530,834,170,
509,269,468,270,882,545,659,604,233,346,531,934,716,040,350,698,714,982,167,
533,106,328,992,588,438,436,975,204,135,342,741,838,288,414,152,537,061,001,
812,117,493,788,358,920,430,097,752,333,256,248,202,568,401,867,348,552,933,
600,395,805,609,459,536,639,634,067,654,250,011,606,262,677,696,658,073,122,
139,179,645,623,080,292,274,276,730,201,973,546,077,237,079,489,063,925,475,
936,846,706,490,077,464,343,477,364,470,865,673,067,105,996,972,191,667,340,
812,286,405,176,250,332,459,348,703,279,091,185,944,912,215,458,192,461,896,
689,174,098,878,579,016,331,659,679,228,105,250,087,657,540,042,549,211,268,
910,527,601,611,274,485,599,161,300,359,313,293,635,648,306,651,979,437,629,
136,347,767,985,752,807,610,943,746,658,572,133,605,436,871,409,068,821,512,
270,567,433,610,603,677,354,512,776,908,471,857,852,523,745,907,667,449,178,
587,773,988,481,875,208,982,285,736,512,408,996,849,121,296,904,209,151,569,
680,484,574,125,233,132,852,913,122,676,386,265,987,726,433,279,555,214,737,
657,956,639,565,682,290,438,074,863,896,336,927,244,430,148,322,696,127,076,
576,679,373,483,497,172,197,789,156,866,816,968,223,331,324,273,676,919,183,
670,263,339,098,161,860,859,947,616,309,125,380,285,547,519,169,962,887,949,
529,057,727,375,419,637,215,922,818,709,538,665,437,167,641,211,793,279,168,
784,165,134,065,590,375,864,682,709,805,345,196,125,558,955,729,292,048,988,
430,037,640,196,370,702,057,949,094,372,778,766,784,606,399,930,322,585,539,
302,248,147,808,845,637,935,229,814,381,563,589,561,405,690,763,896,089,957,
918,731,548,328,416,001,749,135,150,270,820,777,691,070,413,627,388,148,573,
048,918,750,919,416,384,031,305,362,089,743,023,248,801,643,390,284,418,260,
213,996,137,265,782,228,190,920,505,490,028,311,447,531,265,953,155,628,610,
497,057,045,683,136,910,773,905,017,091,180,316,688,808,839,757,207,115,645,
484,391,420,640,367,830,607,119,988,140,791,547,817,653,786,118,578,780,841,
749,470,742,064,451,410,769,540,497,473,777,615,852,149,192,861,272,862,307,
653,500,621,043,568,709,601,632,880,281,505,667,292,690,603,500,050,985,468,
478,743,449,418,676,675,722,821,482,793,246,943,778,961,537,691,138,562,429,
935,649,372,131,696,313,743,783,098,838,507,270,133,565,811,868,699,171,218,
979,209,051,965,590,444,386,685,819,187,743,535,525,253,518,072,623,554,043,
506,148,426,359,435,526,944,751,666,944,828,591,464,969,173,838,351,455,874,
953,614,537,394,257,016,005,659,747,099,691,906,664,773,901,874,119,807,467,
700,453,020,770,553,872,586,969,121,289,674,807,060,737,410,313,482,653,031,
629,915,358,480,465,420,116,050,683,040,867,722,131,127,067,297,588,660,575,
013,172,225,750,451,516,001,699,724,425,858,902,382,080,899,944,795,155,140,
607,022,667,563,934,763,652,356,471,285,640,392,924,257,985,937,159,482,075,
084,512,938,636,343,286,042,010,568,668,178,989,935,475,258,495,424,390,734,
577,803,132,622,716,470,305,545,731,022,697,725,453,131,879,845,547,454,199,
406,232,197,554,690,100,270,579,251,218,446,216,842,488,283,389,183,501,006,
474,027,470,265,393,227,601,916,005,752,835,333,330,466,202,324,314,345,348,
299,619,196,564,340,217,564,135,822,663,372,675,082,097,370,474,184,204,034,
074,880,758,094,196,100,469,900,662,329,805,569,008,993,775,223,659,108,177,
450,123,798,090,480,313,884,451,863,986,501,869,096,562,947,479,557,919,459,
810,558,259,947,361,451,313,213,860,301,900,476,765,742,173,641,930,535,046,
668,262,525,940,280,036,523,675,843,708,048,876,709,506,567,216,392,847,060,
178,256,862,913,499,383,779,406,736,884,323,192,953,540,623,483,977,532,766,
282,576,117,631,418,088,606,242,419,220,940,969,703,545,270,350,813,205,772,
401,587,646,205,317,705,033,965,052,407,515,492,034,104,562,852,720,647,894,
550,580,352,626,625,899,451,907,214,691,410,395,163,726,507,973,851,872,273,
643,851,584,825,497,243,942,873,760,757,661,230,328,847,931,886,307,433,242,
174,197,081,132,488,133,698,227,286,605,319,296,190,917,282,925,203,645,905,
026,192,958,598,505,083,562,343,700,270,624,861,682,084,460,522,118,234,158,
961,738,917,735,003,834,716,180,261,859,892,802,692,354,595,569,923,869,860,
861,533,330,153,451,137,141,379,349,992,259,265,961,310,543,501,295,143,709,
002,174,128,141,615,425,671,315,099,099,158,805,863,614,837,132,243,500,256,
166,588,710,431,668,152,504,859,228,428,351,234,980,765,684,050,340,468,322,
682,683,436,633,109,285,036,058,722,835,798,568,240,866,706,398,166,309,562,
795,947,901,700,554,592,518,416,577,510,335,893,952,087,006,648,853,629,734,
197,318,655,143,019,291,235,628,624,767,587,859,466,500,560,258,410,749,321,
495,869,143,953,438,456,173,201,696,899,061,103,018,936,652,612,184,573,045,
708,960,238,061,609,322,431,389,674,511,594,124,654,606,370,764,727,560,621,
153,281,207,403,988,547,093,691,042,847,484,900,154,288,854,601,728,801,777,
097,932,058,633,992,730,062,444,444,728,441,024,717,675,870,781,100,304,549,
802,044,011,916,879,401,399,167,301,800,824,688,956,708,790,683,775,165,248,
657,753,377,743,815,119,216,970,696,408,331,316,496,212,510,724,588,647,459,
755,908,110,994,444,608,586,452,882,127,672,861,312,831,937,394,079,454,438,
852,396,834,699,636,922,672,783,908,285,794,156,911,902,297,415,534,038,401,
217,185,782,133,912,332,211,416,023,898,281,189,406,557,736,225,096,881,288,
979,551,882,694,497,521,734,778,743,498,276,032,720,270,939,051,875,000,072,
247,262,092,738,344,889,666,062,282,704,021,344,880,260,597,804,725,127,714,
623,330,874,976,607,804,696,479,015,948,956,802,091,076,953,226,412,192,893,
872,810,407,995,059,380,194,315,788,167,939,059,332,597,156,868,037,543,521,
265,980,268,280,259,201,140,163,795,361,757,140,364,283,806,368,023,032,644,
221,364,582,181,278,074,256,863,614,938,254,919,078,022,320,503,344,660,801,
395,338,487,923,553,961,973,308,842,680,719,838,198,559,309,283,495,430,194,
467,196,130,871,310,892,081,292,111,409,295,532,381,647,136,308,455,606,197,
027,743,729,638,578,471,162,662,224,786,753,828,365,903,605,778,310,659,716,
575,400,567,127,195,546,210,542,129,386,119,181,097,332,199,169,965,335,346,
532,221,162,692,979,807,265,272,014,039,710,224,254,398,557,920,137,749,136,
256,602,827,005,703,578,579,977,385,672,706,217,382,595,510,946,110,044,456,
375,118,526,499,511,410,708,785,637,085,134,908,947,629,063,833,521,817,857,
666,666,645,013,773,991,566,400,879,786,990,561,947,333,491,334,692,289,120,
729,371,504,541,575,034,302,023,099,680,779,938,097,564,408,735,489,847,686,
011,473,970,822,186,616,521,765,863,639,752,595,193,422,878,891,074,376,442,
853,981,249,690,418,668,584,605,567,454,881,647,149,656,483,156,370,571,754,
340,834,760,590,357,541,290,128,283,327,829,070,854,547,093,002,553,580,484,
437,393,113,157,880,617,376,193,024,363,393,097,014,651,279,353,012,053,122,
678,351,065,100,735,909,874,357,916,455,383,135,203,458,023,350,067,413,840,
512,319,293,498,015,176,905,098,581,514,072,703,192,928,409,248,642,475,703,
133,103,091,255,653,060,598,808,824,309,429,733,121,028,056,532,012,880,094,
136,321,135,697,636,685,331,724,003,505,068,941,556,632,899,669,720,845,602,
087,592,444,483,819,537,809,380,975,095,957,950,079,179,212,975,360,678,476,
924,798,362,766,692,388,660,548,207,533,817,705,821,410,923,195,312,555,033,
883,307,371,028,623,175,155,496,357,987,524,265,042,131,709,280,815,959,891,
371,814,342,389,905,068,626,104,776,726,910,008,694,673,035,865,746,644,501,
614,315,107,433,965,167,727,389,402,881,116,788,659,751,587,290,209,447,153,
867,894,197,867,670,541,958,050,743,278,522,003,928,196,232,394,407,928,867,
081,374,510,510,635,885,585,585,336,592,911,150,383,781,966,099,330,991,737,
615,868,566,648,666,324,190,605,722,570,997,955,043,345,551,529,328,483,059,
697,023,310,925,072,194,967,788,996,988,915,066,014,236,946,865,610,356,176,
121,482,527,229,624,766,942,312,890,637,898,177,201,886,723,445,073,958,229,
463,455,407,512,220,056,322,613,722,676,749,580,707,314,459,590,896,123,396,
833,085,622,050,272,339,772,528,475,358,801,197,984,905,453,337,545,187,731,
295,860,701,032,410,154,285,499,516,614,059,463,415,933,216,799,924,315,043,
989,103,125,404,039,518,691,872,452,446,569,603,513,245,016,287,831,891,563,
165,633,703,763,606,386,864,182,296,847,699,110,885,063,178,354,335,243,107,
013,941,037,058,895,958,464,907,326,382,405,328,612,412,019,385,582,146,080,
697,983,789,969,369,575,845,564,523,543,854,303,437,451,326,037,055,153,851,
633,835,331,772,267,311,385,315,476,456,202,312,191,388,819,142,736,096,143,
625,603,587,334,701,565,123,068,535,395,859,116,395,635,511,774,417,241,104,
850,555,102,440,880,828,437,164,314,070,983,008,973,747,784,202,497,265,893,
844,859,111,686,635,797,400,972,162,175,236,575,009,272,060,260,279,109,608,
192,496,753,257,156,143,935,327,437,386,345,888,227,553,979,741,630,283,084,
824,273,513,421,356,495,646,227,853,418,137,572,150,957,630,628,122,294,967,
328,581,818,802,833,743,457,899,304,862,079,444,570,038,006,522,754,167,065,
081,703,833,728,829,718,056,134,248,722,707,626,701,711,734,055,011,296,874,
416,508,534,990,715,114,804,967,551,116,190,535,499,262,461,599,070,739,085,
751,752,559,176,042,040,575,481,641,277,887,215,458,157,150,407,925,028,118,
533,790,919,124,595,894,962,235,233,784,448,667,230,227,205,023,456,698,483,
167,890,347,069,531,481,736,992,946,083,789,902,109,885,080,654,683,511,084,
526,354,334,248,784,014,550,253,754,929,211,927,356,647,028,064,222,447,538,
495,097,018,183,821,775,986,699,016,773,475,315,712,072,680,057,890,905,207,
011,410,199,683,970,918,228,136,192,820,447,448,132,220,829,237,845,059,866,
490,275,863,384,176,640,662,393,281,850,290,788,675,956,585,025,944,209,234,
865,306,055,260,003,862,074,679,348,032,263,371,933,285,458,347,693,703,611,
613,468,851,409,405,764,993,620,771,226,728,435,240,133,479,622,314,307,855,
484,087,526,000,018,701,773,079,773,313,804,453,622,362,945,078,953,141,353,
260,880,715,135,279,403,596,798,935,545,800,148,193,398,930,164,116,012,751,
835,826,138,732,016,258,547,016,016,420,063,732,294,364,115,101,797,527,485,
348,690,650,315,035,930,007,683,514,291,336,795,361,511,475,377,729,914,893,
164,675,416,961,465,375,391,462,893,893,200,676,317,663,653,126,574,813,584,
039,407,616,483,709,497,492,244,547,579,187,588,964,698,160,783,142,844,844,
133,725,308,399,211,879,766,842,434,305,468,287,017,799,130,502,960,073,051,
413,461,588,890,849,016,970,231,569,516,295,179,508,147,752,731,978,058,487,
237,968,959,436,534,547,181,788,341,774,912,767,243,980,038,206,867,473,115,
302,897,111,291,237,880,359,514,037,994,540,709,121,039,009,320,788,134,280,
867,641,560,567,140,885,982,766,557,150,329,868,834,372,890,747,020,260,524,
325,422,055,448,735,609,389,514,843,138,351,741,699,315,793,602,117,490,928,
857,281,496,337,890,971,451,825,768,490,475,361,993,426,592,647,051,086,774,
964,599,457,047,953,599,266,617,763,244,055,118,060,585,449,700,240,253,670,
747,854,377,599,254,651,291,460,578,997,481,373,939,336,664,286,076,253,543,
902,162,320,638,080,886,582,775,907,263,505,881,322,136,996,637,242,726,768,
630,876,578,703,023,124,791,504,712,781,611,615,805,663,882,956,468,986,332,
209,717,666,700,264,343,509,550,081,071,817,082,959,194,537,224,777,975,926,
706,634,434,277,536,828,172,371,454,751,095,717,491,583,300,113,330,533,424,
003,322,984,739,388,004,233,346,291,275,690,881,641,043,145,490,414,297,772,
038,642,635,803,450,720,022,435,831,097,180,811,102,256,766,207,222,365,352,
964,446,297,482,567,783,871,607,911,867,401,766,423,677,253,994,911,878,465,
451,158,132,509,313,741,331,392,846,423,319,184,219,931,381,000,779,377,879,
036,173,175,900,453,136,808,323,984,777,076,208,764,624,039,344,677,006,429,
936,894,536,880,889,809,466,664,555,282,442,749,569,675,981,769,792,372,487,
822,612,876,060,373,573,448,345,727,712,575,857,336,970,425,307,612,087,310,
077,911,241,118,973,156,031,139,606,980,017,374,507,496,771,144,392,806,330,
423,457,332,524,197,051,029,441,849,959,648,388,389,415,293,654,919,954,775,
726,255,431,593,548,316,433,697,470,009,642,102,808,185,966,019,309,702,379,
764,652,350,484,177,237,973,826,799,244,967,162,218,176,334,558,392,651,270,
589,687,997,738,561,525,896,978,613,067,309,763,108,086,013,754,045,192,976,
157,000,002,761,795,177,621,235,728,320,100,691,440,504,837,252,691,106,571,
526,511,418,733,862,096,894,932,694,840,449,198,927,591,781,905,204,239,748,
199,828,695,842,354,282,637,230,811,189,018,179,145,829,728,246,349,418,031,
656,511,950,282,995,227,965,783,065,587,530,087,218,446,473,777,007,529,207,
594,818,730,304,520,331,413,325,241,836,336,283,645,890,370,837,898,354,604,
092,558,905,067,677,345,668,640,455,965,072,469,120,157,524,977,161,265,653,
522,949,297,238,949,614,900,748,861,516,665,030,993,302,796,688,771,898,618,
774,818,722,532,455,775,592,990,798,964,944,570,263,667,360,808,171,263,472,
219,684,184,752,215,487,692,151,711,951,135,809,140,203,351,013,679,810,985,
656,878,535,579,480,333,500,989,619,364,127,314,100,814,051,495,415,813,971,
452,489,187,899,783,261,690,007,403,042,376,712,622,146,170,526,300,391,733,
922,662,456,252,341,290,477,797,113,322,717,216,807,534,565,314,781,804,592,
194,997,135,244,644,649,212,465,880,745,026,085,015,941,567,682,054,662,579,
454,502,144,488,957,782,478,748,935,080,113,062,243,575,148,926,332,604,225,
211,488,353,309,339,940,543,970,938,587,484,590,478,059,303,827,439,414,946,
432,951,718,294,865,659,641,704,780,189,764,348,290,281,006,706,489,438,360,
977,848,621,471,100,219,620,721,268,108,263,118,312,834,718,361,151,418,883,
241,887,617,571,645,197,895,865,411,508,705,267,674,101,739,614,476,675,590,
361,153,182,993,597,330,509,453,103,376,220,646,951,520,951,853,098,936,516,
887,415,376,931,266,118,484,223,503,363,347,715,421,132,617,570,370,501,929,
393,902,832,344,797,546,017,703,659,971,924,556,085,523,428,958,434,915,547,
899,621,149,953,941,223,238,671,713,292,148,940,606,688,651,326,898,027,019,
272,459,271,104,934,750,551,690,690,457,214,912,070,742,645,600,892,329,478,
686,878,579,464,547,051,538,637,340,864,318,948,092,176,740,639,497,295,229,
060,635,496,768,410,920,006,126,421,475,778,742,475,011,868,622,951,750,823,
427,179,842,835,220,670,988,105,670,037,281,921,429,714,079,468,720,216,206,
737,431,145,029,860,790,083,592,798,180,219,239,484,041,795,451,186,300,517,
756,068,423,104,329,970,344,969,284,087,696,317,502,143,611,421,317,443,509,
443,266,035,332,981,599,160,095,416,951,429,602,680,140,711,815,854,646,205,
170,262,924,257,802,451,077,458,236,390,050,158,916,509,291,327,564,123,372,
623,010,715,369,276,814,731,667,361,315,439,235,137,677,187,113,890,509,947,
787,124,053,624,121,451,680,541,798,725,270,047,334,421,477,159,292,791,336,
733,217,375,305,515,914,238,965,831,996,389,530,795,798,247,194,475,267,827,
882,832,854,162,017,805,121,732,719,663,824,379,498,200,083,263,236,726,059,
060,449,615,207,539,956,067,723,953,438,941,526,612,011,193,942,562,333,194,
708,214,211,681,380,618,123,543,440,488,313,838,855,598,643,967,674,727,754,
477,704,779,082,345,126,408,106,048,881,919,511,708,215,270,914,495,666,018,
876,603,537,043,797,123,983,995,785,952,992,465,917,856,996,538,772,156,602,
649,594,610,308,234,238,880,202,276,301,901,402,709,112,905,386,346,070,503,
117,272,765,180,876,797,095,414,205,266,921,168,325,336,421,280,837,489,005,
954,574,186,760,141,833,267,235,817,582,668,241,803,354,804,371,835,099,795,
750,189,413,585,007,251,488,247,768,257,750,918,229,831,471,624,165,991,827,
852,078,338,829,634,364,487,048,094,175,680,336,012,926,707,067,753,992,084,
066,689,589,169,938,574,800,734,618,606,388,950,194,345,807,015,255,600,857,
640,865,097,515,650,896,653,491,675,843,265,185,133,319,417,339,982,807,989,
274,988,374,345,615,912,862,695,468,777,069,604,206,418,153,391,383,723,212,
065,267,879,633,283,217,968,210,657,416,075,795,324,316,205,290,311,101,019,
544,022,720,813,355,759,917,790,843,096,725,231,182,548,549,832,379,714,996,
341,384,778,759,720,684,692,744,986,426,276,771,877,755,346,426,793,134,048,
824,740,603,000,247,376,019,595,538,652,287,552,399,503,325,218,410,572,619,
901,023,491,866,438,942,310,762,087,550,170,413,997,120,275,362,279,533,279,
259,144,283,899,104,908,018,780,756,580,542,127,681,374,068,297,228,121,060,
933,766,536,689,912,309,490,956,899,922,262,151,204,334,868,337,466,592,759,
113,757,858,092,378,489,307,613,133,535,662,038,905,835,370,219,789,236,177,
575,453,239,187,652,241,494,335,852,262,558,618,370,119,558,994,600,694,770,
063,887,157,780,866,126,165,114,827,486,297,269,238,910,629,637,993,686,291,
566,518,911,724,055,774,402,090,325,298,180,099,480,059,255,221,127,918,175,
158,651,668,064,963,246,933,892,703,058,439,124,184,156,697,219,025,761,507,
424,827,220,066,092,980,146,503,782,062,778,506,509,994,958,573,855,832,476,
621,551,322,075,884,037,125,962,097,992,861,671,922,586,853,396,012,030,065,
157,732,587,153,483,571,910,362,834,442,200,603,907,649,097,807,940,088,580,
920,955,264,212,101,734,182,564,742,445,498,135,597,397,581,377,893,285,083,
109,419,061,991,001,057,158,533,095,965,418,444,314,988,302,644,549,321,478,
037,820,719,155,079,502,285,446,888,978,472,166,194,395,861,932,200,023,070,
523,226,197,480,208,136,847,400,645,567,884,975,097,620,736,428,594,208,508,
696,236,325,646,261,364,074,085,921,559,087,148,802,712,632,756,408,456,338,
157,974,448,006,600,652,275,653,680,220,229,179,202,227,908,400,895,531,753,
186,419,160,510,884,158,126,075,083,838,265,912,296,776,997,587,989,573,976,
842,907,078,186,888,109,165,334,975,716,608,322,522,213,268,479,668,475,033,
165,333,373,227,035,620,183,308,506,376,700,928,602,766,551,486,141,447,662,
762,081,839,566,684,691,568,577,560,023,188,928,100,755,780,251,062,997,928,
166,571,954,363,300,894,583,776,227,992,678,723,087,974,315,262,934,672,148,
327,465,012,429,308,514,264,673,088,069,021,396,917,344,763,623,027,643,983,
410,274,762,451,049,686,944,983,208,603,137,079,721,890,302,263,006,602,154,
476,532,646,874,114,940,945,954,239,387,097,840,610,964,602,008,568,345,564,
844,396,402,483,447,740,236,067,745,063,963,437,508,200,042,951,329,987,964,
487,355,659,225,523,520,463,523,042,918,346,994,332,025,113,320,738,696,825,
922,754,250,991,567,011,823,713,475,975,802,179,173,505,463,262,365,424,994,
776,782,480,197,065,313,683,593,237,861,756,221,747,494,286,872,470,665,750,
813,739,905,279,231,700,066,614,602,537,578,225,055,831,045,642,482,344,864,
185,589,958,059,970,007,383,769,837,518,886,785,455,317,066,306,365,201,822,
247,130,822,806,602,343,123,045,560,085,253,859,576,995,475,131,931,686,947,
439,405,189,215,407,507,921,875,916,513,754,917,421,817,354,241,139,730,882,
310,150,930,339,189,063,881,959,738,599,238,822,932,008,191,219,023,608,808,
710,959,272,509,610,130,877,243,017,091,697,348,603,152,602,716,222,534,590,
273,770,266,844,063,683,226,658,870,208,190,315,782,982,821,107,697,932,828,
137,436,345,682,704,213,255,297,522,908,846,008,944,629,780,355,037,221,565,
911,134,650,118,815,032,833,025,732,261,413,241,982,772,202,397,466,668,029,
102,355,051,559,202,440,633,679,120,458,279,366,402,241,374,746,575,070,648,
680,675,199,473,898,340,147,055,535,483,664,277,589,161,926,552,510,197,407,
279,717,874,222,251,382,030,162,175,831,636,654,970,053,507,041,377,836,221,
159,381,261,640,265,910,984,803,510,478,847,579,433,193,469,207,464,322,038,
612,581,064,264,130,429,724,604,662,885,827,599,973,497,150,445,842,561,717,
103,105,062,953,439,554,349,910,185,488,337,079,148,089,808,412,081,269,531,
165,386,413,461,675,643,316,411,239,740,834,188,378,868,241,811,376,242,682,
819,017,477,366,772,274,888,128,160,879,330,210,018,886,295,711,585,467,378,
067,988,863,849,549,211,302,886,299,330,742,484,531,224,061,240,811,333,349,
558,724,306,077,709,228,482,278,207,460,223,132,326,283,763,957,952,225,485,
985,072,459,086,545,350,244,833,044,947,489,602,015,733,220,544,896,474,952,
383,718,846,260,189,182,675,790,067,017,319,519,436,395,539,394,361,663,656,
121,714,677,760,024,464,324,307,046,886,978,291,949,823,012,184,343,706,189,
374,706,299,673,229,163,239,784,695,825,188,001,899,381,838,783,548,041,823,
017,222,851,159,572,268,772,270,344,759,585,603,657,457,956,468,781,378,249,
946,054,540,302,838,327,614,752,755,446,017,740,060,121,206,541,328,996,131,
445,574,340,098,959,418,981,020,732,028,009,932,703,091,185,875,719,302,793,
350,260,979,210,859,694,339,775,768,611,345,146,011,518,710,827,836,787,197,
390,164,123,947,402,510,568,066,947,398,044,709,467,059,442,527,033,189,147,
326,480,654,180,841,045,558,012,865,687,777,048,397,642,871,061,204,914,963,
314,500,118,338,608,945,452,601,253,224,514,625,100,731,790,260,444,250,190,
783,141,904,250,533,443,360,497,475,086,009,162,527,704,182,599,455,146,168,
093,311,051,275,874,369,266,602,228,186,898,059,951,101,773,924,744,055,376,
894,090,152,259,052,374,320,274,070,413,039,749,905,755,396,779,642,718,776,
255,001,626,367,384,868,023,061,931,283,649,826,656,820,455,682,173,061,897,
388,205,139,830,560,050,901,226,373,345,180,684,448,726,370,168,353,954,817,
939,699,391,311,866,125,197,221,700,649,901,705,359,081,213,138,828,851,947,
922,287,781,357,394,456,186,927,522,204,099,522,894,622,803,716,821,795,076,
776,798,485,424,376,903,108,650,802,880,780,692,567,717,841,819,148,130,579,
561,817,452,214,301,560,269,662,493,374,857,647,238,910,592,459,499,886,690,
729,909,771,952,315,189,737,661,917,927,231,526,276,415,385,372,706,768,785,
977,174,409,828,692,584,511,314,953,551,469,970,984,687,763,800,584,465,169,
564,035,701,862,939,299,149,747,112,514,753,788,521,045,364,484,685,158,694,
758,987,843,783,056,387,630,338,063,768,599,584,814,044,763,922,342,742,323,
811,806,833,260,252,246,539,726,764,690,452,628,947,642,833,402,469,758,379,
734,424,341,595,243,455,095,438,137,799,870,957,735,400,156,954,323,883,762,
936,635,674,333,536,463,282,598,842,041,286,681,911,622,335,114,566,478,760,
018,392,075,937,205,906,328,123,763,892,953,906,986,437,266,426,173,137,086,
229,441,556,380,815,050,657,606,214,901,449,465,729,102,509,135,529,348,752,
407,788,735,591,247,330,373,512,182,543,319,507,356,190,923,646,691,133,101,
219,100,895,993,910,948,298,456,832,325,207,792,948,797,139,762,522,837,642,
591,096,811,017,338,065,959,963,927,719,510,658,011,999,395,756,357,485,847,
112,219,119,447,586,812,305,226,479,889,620,943,968,265,987,461,559,113,434,
883,012,591,810,120,784,705,647,927,553,983,844,960,730,588,018,681,105,850,
682,657,670,738,157,894,159,311,719,399,913,703,830,722,844,949,860,432,384,
989,940,475,552,142,142,360,135,252,896,693,056,130,612,075,632,757,885,972,
435,984,486,195,292,951,504,096,500,412,833,654,082,451,127,465,388,792,400,
570,443,220,828,681,997,389,450,837,769,247,395,342,665,101,737,128,089,271,
599,248,875,940,566,767,420,020,431,450,622,382,788,632,658,427,052,915,649,
608,160,473,703,065,272,843,136,258,825,696,502,459,435,855,033,807,628,533,
147,275,243,083,532,125,079,109,884,187,339,314,763,471,221,697,329,380,039,
738,869,018,587,571,174,292,596,000,758,195,769,687,607,029,924,612,850,530,
485,367,089,194,211,749,679,935,028,701,316,067,464,201,714,182,651,060,190,
837,846,972,225,151,100,262,099,118,263,159,669,297,240,851,341,100,108,235,
356,503,075,099,105,798,170,658,314,412,696,768,146,082,826,082,385,071,830,
188,205,934,048,458,797,297,035,796,428,755,846,256,050,068,837,163,941,544,
333,332,952,445,935,866,871,186,736,675,964,297,924,749,524,105,072,467,523,
200,947,066,630,360,317,942,576,178,328,015,665,249,381,497,023,766,163,031,
059,016,424,860,027,850,633,875,386,547,410,165,766,426,859,833,001,167,446,
691,304,513,853,410,204,312,165,044,553,972,462,014,790,406,029,550,156,815,
984,999,956,712,488,982,755,639,155,469,632,497,167,607,642,403,661,540,776,
639,278,179,641,916,815,600,636,811,808,864,417,410,474,858,304,248,277,760,
832,430,344,906,004,626,989,264,551,754,255,740,000,081,086,930,303,836,231,
508,700,810,881,401,746,141,255,489,657,304,007,180,373,145,812,768,139,067,
837,114,794,345,799,646,642,305,506,813,691,694,526,946,998,180,413,345,888,
645,069,451,711,214,923,941,305,923,187,907,352,059,571,379,485,178,136,101,
049,839,092,745,218,886,932,484,261,040,441,856,137,235,030,528,438,118,959,
923,882,550,638,990,397,934,033,398,674,577,463,241,638,142,351,427,715,029,
648,437,566,006,306,041,785,476,299,219,436,621,575,209,843,633,845,336,893,
071,178,595,343,273,376,781,247,150,042,958,557,986,426,600,936,803,792,590,
119,057,925,308,885,363,654,061,010,842,966,431,271,118,897,282,461,889,559,
304,629,158,718,965,589,931,038,256,606,288,192,495,359,551,608,161,457,148,
722,438,946,041,597,695,706,224,484,612,145,773,500,020,701,247,975,249,504,
028,093,362,594,149,925,904,384,918,877,838,908,919,232,025,146,886,950,809,
933,225,630,999,792,762,862,370,750,645,859,719,808,506,135,208,638,124,263,
637,383,416,928,313,382,987,096,681,149,918,441,933,750,170,220,599,809,177,
064,469,952,928,625,560,909,516,233,057,047,186,116,130,451,757,632,445,106,
831,932,899,582,207,424,659,161,585,121,784,807,947,767,851,385,876,972,119,
945,860,674,892,548,752,989,494,924,755,328,832,319,228,103,984,290,795,717,
334,568,566,035,230,993,471,763,817,941,378,928,807,386,904,487,048,576,595,
907,341,362,617,569,203,450,253,207,600,672,142,859,836,739,156,352,187,172,
281,960,962,557,443,485,653,843,898,854,638,945,530,632,629,027,406,267,069,
059,842,258,889,599,131,779,567,689,755,579,240,730,563,705,183,280,297,752,
751,849,024,128,814,330,852,909,576,141,162,772,763,964,021,426,429,267,678,
432,385,851,675,787,490,657,043,701,932,924,505,934,161,900,745,184,190,089,
714,946,304,025,455,053,264,590,021,115,696,332,513,223,013,058,968,679,446,
781,371,295,100,906,841,951,046,796,208,656,059,358,003,976,614,009,827,499,
863,228,607,248,113,903,271,073,746,388,920,692,205,087,739,813,580,725,442,
098,161,546,436,302,867,626,128,795,600,827,488,159,360,141,850,743,188,976,
592,279,860,642,435,763,052,878,943,741,007,527,939,635,428,729,556,742,016,
175,189,781,731,673,826,677,146,184,666,147,639,039,894,326,140,454,347,008,
482,358,893,675,085,138,391,364,612,278,204,446,772,913,696,816,943,753,305,
169,107,518,602,819,555,876,962,845,840,308,860,851,161,915,892,519,814,215,
717,000,214,553,928,935,311,869,323,662,652,326,416,304,081,732,310,274,615,
133,456,171,239,437,547,531,791,776,448,267,982,146,109,207,678,524,150,029,
407,001,088,272,043,682,498,808,899,607,633,782,247,450,493,829,739,579,520,
652,774,374,991,016,709,863,388,823,918,595,900,909,783,423,541,633,418,290,
574,119,756,580,220,007,389,185,507,971,259,881,837,363,384,872,770,984,793,
919,262,614,265,300,099,397,296,598,883,568,813,925,878,502,418,660,530,509,
449,283,152,874,588,452,890,687,542,344,642,578,358,923,582,465,991,498,802,
330,058,813,967,265,165,924,463,380,744,258,199,336,498,165,491,316,357,590,
738,520,089,140,375,933,664,177,811,887,968,276,438,362,973,462,793,215,959,
623,848,056,170,077,032,395,059,217,010,437,173,775,640,604,032,010,335,700,
598,616,973,144,446,250,837,082,322,971,780,158,162,401,495,650,367,500,778,
460,759,293,952,217,522,401,415,659,410,651,171,584,541,125,788,542,728,326,
642,625,619,523,994,755,090,483,035,292,073,401,920,969,919,956,512,639,159,
712,692,604,346,396,256,982,374,825,430,719,683,489,723,386,611,141,401,109,
283,036,947,750,208,674,039,598,653,218,769,049,007,985,439,342,427,403,028,
539,003,100,648,093,783,837,713,516,469,067,514,126,874,300,479,541,800,469,
441,656,401,576,672,261,979,646,537,699,926,913,411,492,640,061,307,582,542,
018,781,791,781,218,677,959,981,172,780,167,795,038,027,307,476,885,476,487,
192,644,221,953,964,144,286,257,526,710,295,951,490,605,375,439,136,135,438,
207,683,308,876,670,564,057,728,676,494,588,032,766,052,782,130,682,793,109,
482,412,011,542,406,507,400,666,651,779,310,070,747,707,510,031,701,612,685,
124,590,490,088,797,439,425,447,299,364,890,267,956,955,329,354,983,310,722,
290,103,234,578,907,078,278,870,573,542,468,770,748,666,178,409,358,734,717,
228,403,224,306,471,741,725,866,938,872,106,178,265,980,127,724,011,639,701,
328,595,281,731,752,575,839,577,178,039,528,192,163,528,298,937,964,998,518,
584,095,404,746,756,498,267,810,754,039,904,566,795,428,882,224,612,097,007,
064,225,413,381,263,131,055,909,757,947,901,959,441,737,583,982,716,579,365,
858,725,726,126,404,918,695,273,179,167,615,579,853,820,269,094,046,767,296,
100,588,782,844,797,587,253,464,078,060,048,681,813,961,755,333,530,177,285,
815,133,622,919,952,007,611,451,616,640,427,423,428,878,282,762,347,132,432,
930,366,368,632,754,528,119,933,605,680,847,399,870,992,430,634,621,049,781,
691,263,049,921,837,930,825,412,536,448,087,196,903,687,695,385,132,366,094,
367,292,463,544,078,586,878,423,581,183,320,165,175,031,315,091,340,921,074,
278,585,169,652,027,801,848,569,143,417,498,277,090,084,462,297,359,794,798,
487,050,795,561,766,808,973,999,482,042,282,175,791,987,656,995,913,989,868,
673,220,139,599,580,336,096,929,509,370,131,718,267,151,076,429,357,917,456,
447,294,638,320,693,363,597,414,458,892,113,836,457,425,506,517,164,277,977,
516,818,654,530,818,072,152,546,015,945,656,972,476,500,707,121,438,677,745,
373,827,357,823,467,747,809,272,067,984,391,910,357,310,022,440,706,392,065,
472,066,437,304,224,973,519,127,508,977,821,582,543,726,891,845,077,770,743,
004,529,120,190,542,217,276,088,085,144,368,605,207,449,246,973,343,160,109,
453,087,819,028,716,012,921,468,456,751,822,432,111,832,138,484,384,119,218,
651,893,716,564,083,480,917,988,417,812,589,379,996,632,754,675,454,825,920,
677,339,925,766,213,796,694,130,123,319,191,326,205,032,209,670,118,508,767,
978,471,884,942,146,434,602,754,016,699,560,766,169,592,447,243,025,222,778,
400,173,013,844,719,484,449,359,323,865,443,348,034,342,511,279,002,549,035,
232,853,149,668,889,024,032,434,765,950,871,506,717,167,719,561,340,290,637,
422,256,635,939,564,511,830,500,432,011,189,677,822,298,872,867,432,696,580,
557,067,309,218,880,950,754,462,164,875,176,282,312,577,648,672,658,769,023,
474,183,189,305,416,098,227,144,189,578,575,666,723,820,826,934,769,389,047,
336,815,432,024,937,964,148,403,991,320,629,369,187,374,374,206,225,539,528,
460,876,742,406,512,499,411,364,808,573,246,366,956,017,599,909,813,655,902,
397,276,174,990,325,680,487,025,998,027,020,034,034,594,367,740,228,597,371,
934,479,843,594,248,857,733,067,931,729,678,348,822,449,441,445,891,078,484,
749,225,727,303,575,340,405,555,977,627,668,022,248,761,541,244,358,141,007,
121,972,692,587,221,596,012,687,369,439,601,999,678,279,942,301,143,735,129,
681,835,067,357,837,975,982,847,422,060,374,889,707,936,950,273,400,414,183,
378,674,500,498,485,169,799,583,619,286,838,390,367,641,209,382,064,274,439,
185,218,998,269,816,559,129,136,297,205,842,558,572,758,553,843,385,329,586,
858,262,480,431,412,078,855,222,269,991,411,385,280,652,001,152,696,617,431,
281,259,813,741,865,459,455,488,216,733,421,270,842,305,107,149,597,139,047,
564,158,645,825,218,142,749,170,546,723,170,463,932,714,054,667,908,744,145,
445,095,159,999,987,704,426,568,178,971,627,540,074,976,624,662,761,762,939,
909,834,250,893,442,578,581,145,178,756,018,412,931,912,620,611,338,010,640,
057,397,382,615,082,470,594,111,041,373,685,681,645,137,857,855,866,867,161,
770,593,915,534,748,048,870,878,064,804,923,306,653,267,394,573,577,880,907,
563,890,998,675,336,341,752,046,159,993,108,006,892,768,631,215,826,566,472,
807,149,023,458,710,740,687,317,803,597,557,728,720,406,576,070,932,688,307,
367,495,133,609,258,080,719,214,116,460,662,254,806,103,519,286,031,271,338,
009,156,157,656,893,666,518,285,111,753,504,859,089,024,869,405,013,622,066,
563,652,651,623,935,770,319,345,960,742,307,090,277,220,631,493,034,838,533,
113,301,702,440,045,438,476,020,044,393,033,951,770,903,386,048,005,905,400,
106,426,368,192,982,539,450,935,618,431,606,649,888,713,615,751,114,818,006,
868,414,007,168,619,365,789,040,497,856,774,534,227,286,485,661,847,980,631,
429,715,886,746,887,288,572,434,414,072,649,050,864,470,083,430,802,302,276,
444,386,096,112,252,064,254,098,122,529,698,408,680,731,171,876,403,681,260,
608,751,055,405,689,990,735,399,498,849,635,915,743,763,535,788,330,831,097,
232,935,130,084,600,627,975,606,147,120,278,061,469,721,530,745,787,000,632,
230,011,701,907,785,528,347,651,553,162,376,080,949,740,411,011,711,123,924,
360,731,367,108,573,581,302,450,533,307,267,390,796,045,174,271,035,430,451,
838,009,026,111,408,138,343,566,277,961,528,785,511,488,971,289,691,013,950,
361,024,660,498,879,182,071,397,172,741,065,438,555,156,296,820,377,260,436,
760,834,501,639,860,542,334,057,845,395,967,257,270,054,512,863,098,133,610,
855,735,951,212,275,493,746,939,185,703,398,041,878,342,992,585,037,654,892,
019,262,343,650,589,212,800,496,116,611,102,689,295,623,682,360,945,240,603,
074,442,806,215,623,237,187,048,494,710,017,805,573,952,453,111,975,116,329,
191,617,283,576,760,397,942,610,053,798,076,550,676,802,560,915,864,801,815,
222,977,621,604,992,357,213,819,374,598,670,806,186,052,583,242,700,969,769,
246,200,594,384,795,932,038,099,968,831,784,632,987,983,931,040,191,742,431,
145,476,265,510,505,867,340,531,534,772,379,979,499,598,993,762,269,663,598,
238,960,851,707,032,029,973,402,348,139,268,708,909,321,923,449,963,760,286,
072,510,483,462,454,933,864,030,600,410,070,090,446,101,075,684,652,806,243,
660,052,695,535,803,784,449,992,590,182,267,874,124,675,759,287,869,414,245,
847,143,137,656,895,085,722,917,578,905,278,302,624,456,614,087,877,267,344,
507,494,162,521,863,042,985,477,999,349,421,006,110,025,959,024,114,129,299,
337,237,672,861,613,736,894,179,992,100,351,781,323,645,851,389,226,200,411,
346,310,107,302,311,568,916,642,895,163,723,512,247,767,548,106,710,355,758,
458,191,008,736,070,015,605,058,273,412,626,226,031,472,517,711,707,547,146,
918,123,285,607,969,709,127,109,661,887,750,139,370,857,085,989,044,127,616,
398,478,648,403,813,285,880,876,825,818,044,267,271,010,280,961,686,821,358,
666,848,229,614,893,676,362,875,864,803,098,481,723,351,111,666,663,053,412,
603,452,815,574,666,153,763,071,488,177,735,488,267,479,710,477,489,169,588,
214,181,479,466,475,098,474,940,547,337,688,240,591,194,578,869,500,525,825,
025,741,883,909,402,397,063,659,516,326,501,889,655,379,932,562,212,857,142,
724,852,261,352,923,291,830,255,385,935,226,891,806,793,714,281,199,321,238,
353,156,632,979,095,788,218,783,440,576,692,088,921,754,409,843,527,046,619,
333,800,776,817,544,498,321,268,203,625,586,227,786,967,754,721,102,690,742,
864,137,429,297,108,364,667,622,685,825,640,603,467,531,909,846,997,147,815,
296,440,435,617,069,671,858,058,923,946,914,291,859,834,586,428,536,104,312,
901,186,138,516,936,689,998,794,059,227,041,151,648,981,101,201,071,325,105,
322,747,685,230,471,419,778,970,803,698,077,874,359,752,015,238,411,593,878,
171,609,568,807,691,529,487,269,295,143,841,008,306,679,370,629,933,531,443,
670,394,027,392,416,677,181,738,172,602,095,589,014,546,750,470,241,893,753,
707,736,451,656,943,120,175,249,288,213,596,945,751,925,616,317,247,929,344,
303,783,116,312,622,092,902,682,715,632,298,721,302,945,750,156,012,681,524,
389,233,834,316,823,066,908,915,555,687,818,573,976,865,688,853,219,656,869,
232,137,069,966,416,291,116,747,016,971,095,897,019,256,657,134,478,015,822,
207,523,385,436,806,301,334,506,040,640,390,529,455,012,652,862,456,810,833,
099,557,283,833,091,874,132,123,995,173,424,927,069,657,784,650,403,890,429,
275,348,309,213,763,384,835,094,045,927,982,138,607,840,793,407,081,044,348,
987,178,948,453,062,084,263,940,253,934,106,285,050,306,693,729,778,468,064,
614,809,785,579,127,603,077,894,358,518,006,263,314,893,476,922,671,928,510,
889,917,976,354,430,855,212,335,862,694,416,709,088,061,058,284,713,241,496,
327,049,159,746,661,571,559,341,553,299,515,368,526,947,142,733,849,564,475,
832,997,294,727,134,512,545,846,398,815,878,520,341,971,069,051,748,345,243,
562,390,431,099,281,762,026,022,886,633,308,459,754,035,315,460,543,703,158,
631,699,456,479,173,969,136,187,903,062,127,731,153,121,340,808,856,995,498,
742,948,683,167,326,899,194,974,640,147,441,053,198,648,205,035,771,697,467,
510,343,789,459,356,520,417,464,934,690,706,550,736,465,310,675,908,117,472,
329,322,362,527,383,522,116,998,241,526,896,212,931,118,632,707,281,131,658,
256,041,496,748,256,018,317,847,638,802,679,514,003,215,020,557,650,378,370,
301,136,613,492,855,120,130,577,965,202,590,220,814,187,156,573,618,018,586,
440,295,486,098,064,162,643,181,567,699,658,216,205,653,837,570,124,198,715,
804,483,521,520,608,226,791,965,102,788,820,893,472,054,763,502,731,836,671,
767,446,825,166,162,805,751,450,689,712,075,470,729,394,384,773,450,546,315,
419,690,481,811,886,170,121,824,074,203,117,330,785,629,825,719,958,505,381,
535,399,844,614,838,063,380,493,108,749,416,759,169,824,697,697,734,823,834,
964,659,639,584,616,391,363,435,516,744,649,626,513,619,103,361,363,200,232,
210,013,862,238,486,344,945,223,644,630,670,733,264,164,994,784,171,632,791,
816,376,875,685,235,093,063,071,150,507,325,581,826,238,276,737,245,725,426,
380,989,117,586,157,458,647,471,652,944,301,635,839,407,000,038,874,960,908,
379,988,587,794,401,385,891,047,589,680,206,387,492,696,960,316,467,852,037,
240,245,826,715,082,913,916,559,531,164,023,010,306,789,969,119,953,763,614,
019,554,887,801,473,549,067,116,870,042,718,327,010,213,453,434,962,209,360,
153,896,166,123,542,522,896,825,596,723,995,644,181,621,516,703,953,545,862,
490,522,218,295,685,217,995,309,700,550,279,831,713,033,538,508,078,177,117,
344,251,662,250,781,138,844,307,376,148,149,241,908,482,511,135,130,227,010,
083,738,905,322,414,159,400,214,107,468,441,069,036,758,588,979,274,077,101,
924,159,090,208,607,916,874,075,589,724,811,342,162,455,456,778,002,952,995,
507,858,602,340,416,021,449,345,756,190,360,000,740,903,747,919,964,416,163,
017,845,848,775,584,096,446,810,063,622,350,911,445,033,138,754,668,779,037,
889,926,549,717,094,606,013,620,476,983,331,351,878,433,515,351,500,296,736,
811,251,430,102,005,992,207,328,492,996,222,554,040,241,904,925,186,102,028,
744,098,226,086,671,347,635,379,592,250,768,994,185,831,275,661,116,047,043,
838,454,135,446,868,771,089,183,329,512,152,791,014,683,611,334,240,920,677,
125,989,977,918,921,159,929,706,273,966,860,854,330,652,233,167,326,769,997,
547,049,877,004,605,386,365,634,052,293,874,557,747,054,621,157,261,193,038,
207,383,724,600,281,249,454,518,806,229,441,680,723,340,984,467,644,751,755,
045,064,656,736,620,016,238,701,177,368,265,132,078,699,151,575,867,014,376,
042,064,057,933,164,660,520,215,151,378,292,098,791,963,050,060,973,361,750,
145,270,950,447,734,569,493,440,253,033,033,109,746,893,860,166,180,273,497,
378,508,106,576,434,564,847,602,192,266,353,540,227,628,827,124,820,719,927,
914,037,914,934,728,844,866,897,118,678,449,861,688,319,018,496,526,251,646,
503,178,557,898,973,411,125,276,707,997,658,772,646,122,485,093,849,654,064,
435,538,155,302,866,287,613,553,349,683,486,429,700,568,549,014,922,599,666,
756,360,444,873,948,133,875,636,658,313,702,742,861,154,627,645,641,484,471,
940,842,228,545,775,653,573,239,599,492,792,892,592,356,065,393,178,675,028,
999,020,647,339,505,875,458,153,543,822,921,991,710,704,283,357,914,274,459,
483,525,498,318,308,217,589,376,726,314,757,367,412,650,067,937,558,553,000,
736,738,133,133,679,545,173,911,031,745,844,525,765,404,036,098,165,797,136,
742,771,290,119,648,883,982,359,406,281,121,000,012,162,889,628,657,234,240,
065,183,327,845,583,387,439,264,730,463,120,836,035,106,154,737,342,651,792,
741,671,543,602,365,938,309,729,206,723,632,969,660,946,965,611,052,489,237,
601,678,606,031,353,450,848,833,451,885,707,030,931,653,140,339,740,228,593,
399,840,028,288,724,079,637,605,597,273,177,787,887,716,941,063,157,962,308,
159,113,600,533,263,572,842,186,589,699,841,627,808,058,445,541,717,451,197,
162,746,426,066,390,567,799,587,192,686,766,619,822,717,032,717,060,151,598,
690,139,497,389,957,634,602,457,783,820,934,312,473,551,083,564,787,716,476,
617,708,406,417,357,033,612,443,775,759,758,787,755,035,843,206,217,487,367,
411,429,055,545,409,698,001,830,174,236,057,045,810,364,382,499,579,670,645,
370,564,648,187,183,918,409,034,745,805,831,669,614,564,105,411,102,194,564,
959,990,763,807,286,156,599,067,617,126,998,017,721,789,669,908,457,056,957,
861,460,621,229,352,196,541,089,038,148,409,917,905,526,816,818,402,061,818,
198,359,309,362,316,476,364,046,061,998,273,347,420,868,449,136,463,117,826,
486,495,352,096,592,264,442,362,676,458,859,566,022,071,673,879,367,983,931,
229,866,907,866,603,365,789,899,410,944,772,453,822,022,246,287,188,759,296,
231,528,276,386,332,925,130,137,255,698,383,907,820,481,451,885,460,197,348,
586,088,414,735,799,079,615,252,341,584,527,873,368,160,265,153,927,298,187,
841,266,342,309,154,967,770,008,231,716,048,562,743,209,836,264,039,926,852,
462,598,433,041,698,492,084,957,974,819,672,483,083,824,809,312,069,383,029,
502,951,313,634,228,396,010,006,120,026,329,059,162,000,721,717,067,821,370,
773,860,242,216,503,822,793,073,167,230,670,938,647,786,415,560,761,366,280,
834,360,363,070,935,677,453,497,021,129,388,272,564,402,000,867,472,587,714,
234,117,023,968,825,633,200,439,400,200,450,295,370,125,350,403,596,090,107,
097,750,665,220,153,900,672,227,640,081,929,224,557,246,156,001,680,841,669,
742,762,711,749,049,769,633,950,605,423,476,675,867,170,765,733,533,247,771,
468,510,819,480,160,841,744,605,588,961,040,643,296,533,305,554,060,194,906,
275,907,148,085,570,680,384,746,496,565,055,367,520,212,608,316,828,316,580,
578,001,203,534,674,105,372,143,075,440,695,152,291,894,803,221,791,246,690,
571,551,325,223,632,630,310,660,400,202,689,194,267,223,511,710,246,688,708,
488,713,637,729,396,250,146,963,180,844,482,088,232,505,719,352,166,982,459,
983,197,083,005,348,116,123,346,090,000,322,063,359,867,396,159,850,736,424,
591,385,241,851,371,487,226,593,291,404,499,756,016,849,882,340,301,327,729,
767,903,735,869,639,239,001,726,950,445,242,682,104,601,198,114,302,086,640,
045,136,153,509,198,645,390,059,087,608,253,990,687,780,896,775,600,510,654,
643,558,074,810,707,107,301,140,545,881,903,959,130,376,505,805,262,687,424,
307,371,302,742,739,547,914,925,454,072,990,536,692,630,719,921,176,110,238,
714,321,383,522,729,338,277,963,999,021,607,389,055,662,188,402,976,410,455,
395,973,770,032,242,594,372,895,478,078,018,226,309,363,806,145,780,203,175,
853,190,013,037,092,926,917,390,370,463,662,770,994,042,663,742,371,191,339,
833,321,059,413,750,763,832,208,237,809,806,261,855,483,861,858,118,469,943,
904,149,409,585,453,379,523,813,752,937,501,743,030,744,864,955,460,403,436,
241,198,141,818,935,568,888,576,770,508,450,726,227,586,829,296,040,252,736,
048,561,752,141,311,079,106,494,750,358,234,218,861,343,126,158,664,176,600,
174,442,253,869,096,157,827,035,460,054,268,337,316,459,308,783,168,170,446,
071,338,251,436,620,650,677,938,563,090,801,500,007,229,539,636,320,420,027,
478,070,672,929,659,450,503,588,748,752,392,351,684,715,137,475,164,460,302,
375,262,376,511,599,290,158,603,001,360,263,597,106,063,781,368,945,016,663,
310,810,590,518,504,053,800,169,652,159,600,024,000,911,543,973,611,943,781,
467,040,694,156,671,382,301,693,592,639,736,954,556,307,876,709,894,747,028,
608,057,032,242,794,735,928,572,104,336,297,751,084,685,316,305,417,135,360,
290,370,431,264,081,331,330,162,751,544,028,285,390,934,632,112,226,419,461,
298,590,526,043,824,515,679,276,596,156,969,051,941,295,269,173,921,534,234,
336,152,613,798,292,448,085,585,975,350,949,198,846,979,162,689,437,151,519,
428,230,590,336,517,818,598,742,648,737,093,998,193,586,367,313,388,970,921,
735,220,496,312,327,436,952,129,719,727,366,990,837,230,623,789,723,097,575,
860,565,863,461,295,290,313,995,500,198,895,891,160,994,068,929,951,792,923,
049,354,965,932,739,452,954,962,018,671,887,026,635,201,516,000,993,704,052,
851,629,444,799,141,798,582,029,922,639,899,349,935,211,411,239,968,478,124,
146,332,873,484,896,280,704,826,614,840,870,621,061,211,953,324,743,703,659,
086,345,274,252,186,668,223,729,112,010,734,745,403,920,714,939,676,484,861,
470,538,291,422,290,687,252,437,652,415,451,720,037,543,800,808,972,076,719,
097,782,597,727,790,881,992,152,429,816,360,261,095,729,756,113,156,985,183,
925,135,173,195,779,954,809,959,230,741,523,908,339,747,304,030,611,041,660,
214,689,633,014,769,332,762,084,142,889,352,692,947,802,941,092,990,592,280,
930,629,110,603,488,164,243,416,437,169,094,084,845,369,825,617,856,931,648,
171,907,375,207,035,076,856,305,191,274,629,739,346,940,740,116,289,134,641,
259,062,979,461,166,021,370,722,731,471,557,765,237,136,264,600,410,395,683,
646,948,008,552,289,832,124,268,409,549,033,865,771,903,327,326,906,179,018,
418,070,891,450,770,465,738,089,193,769,905,009,149,587,314,801,057,506,677,
802,115,428,104,024,290,556,973,135,010,867,437,124,352,041,985,736,110,767,
180,968,376,505,076,274,026,155,304,275,841,154,818,890,298,612,403,312,685,
189,483,103,705,112,221,612,787,301,830,812,827,501,142,235,773,117,652,916,
616,241,652,904,096,040,539,222,885,992,901,413,241,574,493,992,454,734,884,
819,639,110,551,949,361,302,657,975,581,736,962,922,053,485,347,010,672,767,
231,654,672,875,865,446,671,103,931,774,184,983,861,263,584,370,260,837,374,
616,196,315,903,692,495,207,764,018,897,079,870,327,193,330,447,639,086,034,
790,048,313,313,945,631,452,635,834,861,424,897,702,225,419,721,557,290,048,
946,523,311,801,915,010,958,533,372,768,166,416,983,962,443,676,002,743,968,
057,941,084,195,175,205,440,695,411,043,131,176,078,781,444,376,837,498,171,
468,401,088,027,039,650,679,197,699,755,240,966,243,017,170,783,656,952,972,
479,678,177,134,062,213,166,294,834,442,855,776,674,279,809,146,044,112,178,
444,141,661,294,281,667,439,562,718,868,797,972,775,840,853,768,514,513,715,
061,648,625,572,215,288,944,886,722,633,070,719,649,387,583,833,365,452,871,
933,278,510,628,712,521,268,869,683,961,571,193,917,461,293,149,742,738,228,
986,951,770,404,765,791,537,332,838,439,051,056,285,140,203,226,318,210,715,
596,459,290,467,695,868,874,805,064,375,039,372,981,994,960,419,175,493,298,
234,385,473,286,883,359,599,659,913,545,667,445,168,689,493,763,878,719,677,
034,058,101,883,306,273,030,157,711,779,577,753,659,325,842,005,314,717,319,
485,342,555,742,217,467,882,150,198,002,034,585,729,839,792,752,883,454,947,
927,648,367,165,135,125,461,154,439,884,570,716,146,334,233,847,998,534,795,
478,282,957,045,371,153,457,623,441,101,210,727,486,349,229,772,738,285,945,
800,842,479,260,435,692,110,618,316,363,370,486,303,815,489,150,437,628,341,
862,648,907,850,698,425,491,607,235,860,628,713,993,217,594,365,850,462,891,
061,324,559,743,030,878,748,801,801,431,724,922,117,609,354,713,546,872,449,
349,854,649,211,981,235,756,416,373,528,333,960,319,546,099,322,080,202,191,
024,161,639,413,525,106,767,588,596,802,435,770,942,568,464,258,599,901,970,
577,852,024,761,547,178,388,577,698,003,111,675,024,376,759,169,666,519,543,
019,760,475,688,901,085,932,276,208,365,908,029,025,285,856,180,259,111,816,
272,613,546,799,081,791,129,834,565,921,547,847,023,173,784,668,943,569,519,
879,189,974,099,558,848,070,398,237,015,142,813,242,569,562,970,442,527,788,
664,180,910,395,472,569,430,676,474,738,906,530,979,224,751,072,785,100,589,
614,167,074,315,448,354,013,834,035,997,449,526,978,755,776,304,452,640,333,
950,190,533,361,549,163,731,253,667,265,011,567,396,708,231,585,859,343,652,
310,786,675,180,777,244,539,000,569,683,686,530,193,557,322,805,198,445,438,
399,906,784,931,378,799,467,242,545,724,173,571,965,041,036,000,194,638,796,
828,841,536,561,979,037,861,968,850,483,184,712,693,267,047,669,287,879,405,
819,523,504,123,609,232,695,725,262,193,171,532,301,316,550,537,053,458,877,
783,558,534,197,326,435,337,063,415,902,893,052,203,602,909,776,992,842,005,
232,263,117,051,369,720,863,161,282,606,020,196,043,282,510,319,953,238,440,
021,233,114,823,610,325,980,442,538,287,606,110,163,068,670,856,373,848,461,
573,773,317,391,556,193,733,559,866,110,137,803,469,633,550,353,299,367,348,
523,835,467,204,423,022,094,859,371,263,822,143,439,097,654,568,476,614,401,
601,051,994,323,377,590,749,510,888,099,998,987,234,871,481,510,221,711,482,
714,569,910,658,250,514,254,707,601,998,593,868,111,025,897,890,018,834,050,
993,070,431,143,184,929,897,487,795,442,885,190,179,536,609,103,860,777,923,
576,546,775,733,409,558,626,951,875,789,745,142,295,908,319,834,085,753,272,
587,975,601,636,395,276,738,533,998,804,132,152,099,939,451,996,095,312,288,
349,929,145,234,939,934,811,723,976,731,368,655,326,838,590,573,157,150,605,
684,837,557,501,882,688,607,920,319,852,011,114,187,303,820,702,917,841,656,
729,455,028,630,766,287,205,183,413,724,860,557,387,157,660,933,690,946,153,
616,785,108,922,685,332,669,286,030,713,546,324,283,774,717,403,631,782,172,
911,201,264,066,757,563,576,652,226,438,017,439,925,565,180,856,054,466,275,
750,826,152,686,333,311,126,376,008,211,665,072,414,998,396,570,211,124,665,
999,517,882,190,299,613,658,640,483,994,427,447,731,851,395,211,676,116,468,
905,005,415,429,457,549,246,226,816,296,863,151,065,383,485,016,403,665,658,
744,900,155,151,214,285,382,623,879,376,323,593,735,669,414,883,365,796,044,
935,930,064,569,539,289,958,012,171,494,053,915,219,607,155,358,676,397,408,
961,570,804,831,418,448,700,224,084,617,764,836,640,387,751,178,309,527,110,
116,137,316,355,219,179,095,505,527,072,076,469,590,369,727,091,111,420,130,
117,170,824,685,880,439,887,047,522,256,113,938,621,530,876,231,210,428,271,
566,081,602,188,111,614,161,563,334,521,562,554,085,309,897,995,271,221,668,
047,576,480,869,706,465,757,160,780,275,116,191,920,935,999,192,630,128,630,
998,583,943,558,972,035,778,594,911,806,754,721,632,284,680,434,775,344,350,
153,939,035,798,326,129,060,784,569,845,877,353,226,102,332,405,974,277,471,
367,485,590,484,441,946,309,813,329,611,186,423,162,724,030,245,133,906,500,
221,366,909,236,452,437,290,972,536,668,928,474,837,387,742,616,967,215,605,
133,373,026,885,015,430,544,235,914,971,599,490,836,261,004,066,645,346,583,
294,020,530,788,108,471,716,346,463,473,926,711,050,618,636,542,809,242,460,
316,253,988,418,944,546,734,520,028,802,610,190,009,970,642,236,165,193,690,
143,582,559,141,823,443,984,238,978,353,962,028,472,560,570,723,332,474,519,
118,880,899,051,793,397,700,661,493,385,073,821,666,261,401,157,669,922,071,
225,275,971,858,854,059,870,511,627,635,027,984,156,934,454,728,209,423,219,
095,156,989,526,899,630,282,736,526,188,923,388,944,728,232,771,208,396,386,
322,928,179,691,086,394,986,716,054,459,486,272,488,937,539,670,283,434,910,
568,011,649,463,476,071,637,077,961,881,946,345,824,508,753,296,799,650,736,
660,257,834,562,915,068,874,959,829,561,891,902,990,268,530,986,420,262,371,
218,795,172,412,594,618,383,962,155,960,089,038,702,036,705,883,618,723,345,
537,759,238,045,041,232,660,437,532,842,757,519,919,493,475,621,652,841,876,
142,105,479,354,544,654,554,359,034,436,409,273,269,297,736,028,223,444,298,
423,598,262,185,193,368,287,599,450,809,022,558,845,945,723,339,535,472,803,
913,916,012,953,402,070,029,053,141,676,232,175,196,985,010,326,299,342,720,
348,296,207,182,113,958,107,449,358,527,454,619,364,154,611,841,375,035,154,
714,002,424,235,719,056,600,077,562,565,647,068,326,758,718,217,358,192,948,
857,624,830,800,463,101,371,075,677,014,885,388,334,151,800,500,083,437,787,
419,511,734,008,506,175,822,315,658,442,417,846,461,841,990,168,014,743,794,
717,933,432,238,722,315,033,319,642,683,403,348,821,637,112,104,224,262,941,
842,510,992,375,437,323,858,263,135,967,564,890,902,680,140,343,317,232,766,
890,437,757,941,283,550,383,794,000,342,297,935,169,684,541,645,463,253,490,
676,874,938,405,143,654,243,947,942,651,564,916,781,949,964,261,248,277,165,
205,328,485,900,186,741,984,577,661,603,539,555,189,831,749,912,967,664,744,
329,838,361,479,961,173,739,544,438,563,811,351,865,322,193,018,466,805,929,
840,178,338,310,987,290,271,803,953,342,610,762,282,931,863,362,801,487,235,
766,065,651,739,769,214,366,201,172,933,870,666,911,412,566,629,505,917,438,
114,698,426,071,367,538,601,650,665,027,429,657,060,367,202,897,245,039,194,
304,224,514,037,375,518,342,567,575,484,915,467,210,648,982,639,162,740,022,
718,979,688,999,921,534,527,302,576,677,733,775,119,236,528,246,704,494,070,
294,960,631,730,948,239,262,465,536,751,797,283,894,173,497,276,715,036,859,
929,192,769,439,231,952,606,916,483,877,184,651,462,388,123,406,125,882,933,
611,993,395,089,895,781,421,584,954,050,063,209,035,165,822,309,961,698,362,
528,309,556,581,634,487,221,282,327,507,362,417,600,644,245,643,197,565,633,
621,742,326,593,106,269,413,599,687,177,854,667,190,262,779,867,652,616,043,
555,803,224,066,078,114,088,789,678,417,333,928,128,609,396,701,626,971,661,
198,598,270,374,007,407,461,843,339,296,702,140,103,573,857,517,151,901,808,
749,413,087,233,044,246,098,313,304,754,180,792,168,474,689,533,559,794,147,
629,016,703,554,334,222,612,989,341,758,583,261,597,896,675,311,820,355,721,
988,170,122,103,159,464,712,137,702,266,282,541,273,474,917,213,079,112,468,
466,287,224,544,082,085,023,749,933,546,164,345,901,143,039,745,356,177,731,
140,609,734,904,276,789,109,389,384,264,643,171,457,722,478,715,481,428,415,
192,921,070,677,339,176,932,746,086,188,461,478,369,332,873,713,472,530,914,
552,347,152,720,433,776,830,299,838,770,393,564,569,321,372,466,993,462,814,
411,829,734,459,090,237,129,613,834,714,811,983,732,588,257,429,765,111,699,
000,930,888,226,719,959,462,228,677,961,576,074,943,889,725,586,640,476,406,
269,883,382,665,689,080,756,320,787,949,197,475,053,617,692,751,248,846,468,
297,359,231,499,951,615,625,257,885,340,511,623,020,163,196,552,125,597,131,
064,160,524,352,026,714,331,904,379,867,852,023,061,014,480,730,681,407,200,
858,898,068,862,075,373,968,878,944,536,247,122,737,488,924,372,996,607,477,
579,599,784,788,730,757,126,232,827,948,216,361,359,315,302,681,010,783,222,
162,403,498,020,505,589,334,446,910,267,685,571,665,240,699,669,669,398,002,
282,139,520,676,974,951,704,590,795,751,966,304,743,340,714,544,498,058,640,
022,318,845,928,010,824,558,098,332,733,701,737,447,979,661,492,397,330,660,
562,914,972,681,636,028,136,690,953,658,970,730,158,650,852,044,003,826,422,
498,004,733,039,283,284,691,519,623,432,255,689,776,094,111,692,697,164,492,
444,458,606,269,500,783,574,120,352,782,804,560,478,835,620,783,124,532,862,
979,549,434,056,633,942,392,367,857,532,071,960,352,661,320,851,586,377,609,
415,323,305,824,991,101,144,643,166,070,129,137,527,252,964,835,444,837,244,
079,235,429,912,232,768,192,098,985,306,580,943,576,231,070,948,658,929,125,
473,630,528,256,578,635,240,448,619,863,342,008,975,720,566,505,433,710,159,
546,475,782,967,121,916,385,283,517,464,653,146,775,054,544,067,018,064,719,
036,331,580,051,994,035,599,866,873,184,822,356,015,314,765,727,284,228,894,
898,872,394,542,287,762,741,473,561,185,234,406,110,769,009,805,805,391,914,
820,919,693,384,032,202,991,024,084,624,756,407,067,108,221,359,554,381,325,
207,199,701,055,182,463,562,200,481,367,174,516,806,553,433,195,951,935,853,
892,870,540,401,096,297,176,286,225,182,004,821,580,196,676,863,305,746,286,
299,054,073,024,048,230,807,552,771,383,521,787,545,596,622,371,237,473,589,
139,977,204,782,789,522,921,479,835,563,376,251,514,288,805,784,609,991,575,
083,825,123,604,280,202,777,589,169,907,858,376,000,259,659,203,838,086,245,
326,457,235,762,131,076,996,818,202,159,829,148,069,196,573,855,333,856,237,
002,720,782,858,521,397,893,117,813,519,594,799,447,001,645,327,457,036,593,
086,310,963,028,428,578,100,462,096,447,067,850,763,076,916,195,652,010,652,
861,696,712,382,835,198,012,592,268,591,729,263,326,780,711,621,745,169,807,
141,228,402,094,397,925,685,943,480,302,445,858,532,096,657,139,703,020,634,
123,293,411,508,581,155,360,654,287,124,640,156,430,451,767,006,398,165,279,
502,425,343,909,051,889,697,580,223,622,369,445,969,915,420,717,794,956,727,
466,826,514,854,675,779,511,912,646,090,915,581,370,329,652,508,144,603,763,
366,153,032,005,216,628,465,213,132,362,501,342,275,676,471,854,141,346,790,
057,274,584,357,429,181,265,707,372,529,674,666,239,909,646,182,809,338,267,
915,018,811,564,289,477,146,433,911,171,380,110,973,360,122,334,410,212,089,
541,183,395,069,942,000,495,270,277,997,813,123,808,957,047,972,674,028,665,
543,921,832,311,726,449,793,825,241,688,541,436,980,572,136,550,169,445,129,
592,429,350,751,949,963,106,408,984,317,626,860,459,292,996,579,937,473,619,
413,527,990,734,818,786,518,318,508,697,602,437,159,246,923,566,282,136,190,
263,997,505,558,368,366,177,608,736,958,511,652,902,465,145,794,176,192,147,
728,420,814,249,279,951,750,955,912,007,124,260,591,216,189,420,769,453,122,
915,007,383,990,231,131,505,527,016,541,732,167,182,576,983,707,507,717,779,
081,611,455,145,630,722,292,396,512,062,316,382,743,626,269,766,068,337,424,
822,406,959,864,573,374,867,508,182,757,893,389,748,157,057,022,671,096,058,
824,164,200,253,152,150,259,917,020,545,025,661,738,471,310,837,212,137,547,
504,229,810,139,742,607,107,453,086,159,471,018,926,070,334,568,928,449,277,
520,984,507,919,505,109,592,144,482,251,378,589,494,137,469,734,444,708,959,
923,103,657,712,998,373,705,989,912,724,605,852,362,659,363,260,137,038,256,
854,133,879,130,785,722,243,575,980,629,676,787,763,839,891,647,067,457,842,
224,153,407,664,203,696,778,861,997,699,782,382,247,098,553,750,484,317,111,
788,548,637,786,516,572,467,074,983,131,162,208,328,099,133,236,876,698,846,
101,560,847,712,426,656,169,463,123,306,111,659,406,073,102,680,299,376,128,
922,967,800,321,789,888,698,099,106,786,671,410,516,065,551,956,233,538,642,
909,728,678,580,614,461,423,137,536,984,890,422,422,527,583,804,683,731,701,
438,765,278,797,914,549,436,387,096,377,292,573,649,368,717,961,376,141,054,
943,950,159,342,601,723,435,348,644,609,557,814,199,456,023,899,757,447,735,
381,709,295,253,391,523,858,024,507,077,720,899,766,016,881,487,595,123,785,
242,755,439,491,818,207,074,678,323,998,542,965,635,725,226,058,468,102,723,
389,895,341,925,945,235,846,290,088,988,337,370,707,837,464,661,735,571,197,
422,846,987,690,516,086,467,983,344,722,519,021,726,821,761,449,737,947,612,
976,614,020,472,730,626,333,692,282,167,102,808,212,587,354,467,084,762,128,
032,756,100,709,904,891,248,407,335,662,790,569,433,368,569,499,906,365,445,
252,063,741,283,973,289,973,596,263,076,231,408,984,441,074,584,286,735,605,
992,451,484,803,639,941,106,131,716,351,885,386,412,650,659,278,401,630,415,
119,689,253,483,848,128,723,800,486,225,456,626,518,070,260,953,428,186,698,
804,940,433,887,902,782,366,354,673,745,651,634,825,642,299,852,371,712,854,
762,124,423,273,698,232,541,521,473,751,015,625,492,687,620,728,917,788,233,
207,880,352,734,333,475,708,612,025,955,317,109,283,860,068,697,666,304,482,
195,412,480,753,242,339,038,261,120,315,414,358,961,754,969,177,822,705,844,
741,568,833,233,186,212,429,649,780,655,497,679,282,322,660,623,582,488,832,
163,409,706,260,278,708,105,980,821,480,834,914,886,617,761,797,331,169,531,
932,811,234,889,047,122,228,403,734,450,697,704,541,819,382,192,771,368,081,
740,454,389,484,645,028,330,590,887,459,136,268,691,555,032,652,407,496,915,
102,184,909,685,169,625,836,098,537,714,015,449,815,439,030,927,518,319,034,
474,573,571,250,606,875,313,909,295,657,644,439,598,081,871,322,769,982,509,
030,318,216,905,171,827,687,416,286,014,146,546,661,863,070,450,703,998,895,
386,332,850,110,805,946,776,631,771,931,784,090,448,601,278,187,389,551,916,
068,640,489,486,593,883,006,456,485,720,664,986,468,343,926,818,069,443,168,
364,635,929,567,668,626,132,768,413,460,665,877,940,988,494,653,722,484,041,
569,820,374,707,859,154,313,182,432,807,382,023,594,838,390,373,355,784,537,
542,119,416,289,907,058,399,606,432,606,155,310,070,959,201,167,819,262,108,
250,631,559,860,484,275,130,548,476,460,725,740,490,709,169,457,777,500,135,
452,019,552,958,952,996,968,220,167,909,080,120,710,143,141,063,207,654,888,
006,550,633,326,835,863,995,980,297,735,557,052,486,817,518,038,528,924,102,
663,169,110,907,872,376,770,121,632,796,807,126,985,609,313,186,040,028,996,
103,286,652,372,409,001,279,494,637,856,905,301,924,862,701,988,169,834,340,
404,958,113,993,890,497,702,973,924,193,263,914,062,373,295,643,352,986,593,
658,539,311,897,320,132,489,976,243,618,334,795,596,887,573,985,116,891,889,
602,321,602,480,710,185,188,576,131,881,902,909,228,495,671,500,367,170,327,
304,911,426,829,352,002,835,618,629,730,256,844,073,578,434,617,790,796,241,
098,018,995,567,623,573,647,477,989,071,147,242,321,151,553,550,882,458,151,
221,612,078,082,904,925,010,801,785,421,835,750,455,489,906,740,688,744,025,
332,582,935,942,261,599,742,769,342,503,603,989,803,063,032,483,341,916,307,
788,108,223,471,141,625,588,973,286,076,757,245,377,356,758,161,051,242,735,
210,777,300,929,037,042,771,962,278,839,172,599,553,024,973,041,494,433,775,
771,667,921,849,558,237,666,880,993,832,555,658,667,745,586,330,735,311,008,
055,739,139,942,270,363,810,835,549,080,508,386,235,893,375,982,441,594,908,
228,791,744,027,804,651,675,593,721,441,344,490,518,250,909,520,902,769,810,
758,444,710,764,667,433,806,773,859,000,536,061,279,028,835,998,347,583,319,
071,383,164,223,729,454,036,311,993,008,181,929,124,925,775,337,206,386,783,
746,228,839,885,777,636,704,611,587,552,770,429,466,799,001,414,367,528,068,
187,314,295,861,064,025,770,275,773,836,829,216,903,914,545,884,406,262,717,
731,941,456,798,464,559,362,521,788,270,196,199,001,015,906,496,914,682,836,
528,004,094,227,514,149,576,796,358,728,814,456,515,362,235,433,719,303,510,
757,356,505,780,477,161,941,867,457,565,131,470,567,005,434,294,509,344,957,
527,291,093,282,650,176,534,277,828,437,986,616,654,777,225,407,587,785,738,
402,487,764,301,863,595,626,844,711,673,193,868,393,575,409,771,132,752,472,
428,379,733,594,243,959,248,130,257,534,249,100,541,294,117,985,332,845,479,
242,997,726,534,597,083,354,971,150,871,885,117,018,160,567,072,784,230,545,
936,860,571,787,631,876,529,027,169,618,375,662,650,624,302,074,192,889,355,
298,536,413,217,486,849,405,839,730,862,481,857,990,419,102,918,245,870,272,
749,280,086,111,486,027,681,277,571,020,087,259,763,889,126,916,283,962,718,
187,566,404,733,466,607,526,490,905,595,701,481,193,170,120,454,029,917,099,
083,977,961,084,833,443,709,080,483,612,668,409,839,149,785,457,992,401,847,
634,789,592,581,333,352,288,137,835,214,306,715,138,045,726,269,204,569,525,
806,080,558,676,036,312,245,400,236,513,185,898,013,889,680,300,806,199,929,
198,229,619,787,340,012,845,520,784,053,501,837,912,106,904,419,786,914,266,
821,274,852,633,088,052,764,272,210,751,380,386,276,391,450,371,426,606,799,
054,719,605,332,428,100,616,458,335,673,321,431,099,837,345,999,567,066,095,
431,274,919,948,437,612,618,366,516,553,037,343,790,105,622,746,957,604,105,
567,341,983,002,840,235,753,217,584,227,081,802,957,921,047,115,084,561,450,
052,053,741,537,903,030,926,146,957,212,646,201,748,038,057,601,268,445,815,
667,533,945,285,178,495,723,080,043,160,051,901,440,063,557,971,785,664,536,
986,239,815,662,178,760,126,968,041,197,194,874,308,998,989,835,559,155,153,
596,853,936,159,212,825,040,813,849,920,057,582,287,429,429,426,412,629,017,
885,764,972,773,275,090,569,533,309,123,130,841,045,670,250,269,538,844,796,
722,034,508,404,944,223,272,055,477,170,773,829,396,240,447,710,418,641,238,
936,553,157,482,503,192,485,324,110,343,336,808,850,665,591,599,049,533,099,
831,699,263,976,975,264,490,954,885,642,471,956,672,260,418,990,686,179,970,
013,820,599,434,681,237,232,711,676,064,608,738,904,227,481,883,363,760,836,
094,627,241,091,915,043,006,368,831,204,280,900,478,802,032,473,089,892,652,
880,084,095,780,440,192,578,327,207,115,001,441,577,285,176,284,430,282,985,
377,779,755,041,035,235,336,015,016,782,270,412,032,735,365,658,168,282,282,
524,961,493,916,293,877,781,329,825,725,709,993,544,423,940,552,612,237,439,
151,516,459,303,626,172,301,687,762,128,298,489,306,855,816,166,317,225,234,
526,996,518,549,946,303,571,697,682,739,253,613,826,463,474,679,888,039,993,
038,246,159,158,252,930,672,745,027,861,225,812,280,695,561,439,085,095,231,
093,420,889,364,295,868,928,185,967,167,030,088,546,120,211,213,942,102,538,
049,265,205,394,132,617,660,458,953,560,256,341,022,645,041,530,903,238,632,
858,764,002,024,420,195,792,506,424,349,668,152,554,474,185,572,930,544,486,
753,832,303,460,057,686,473,809,095,420,970,498,152,503,545,390,955,484,013,
067,534,295,823,454,155,340,094,293,418,350,257,081,841,422,335,724,834,825,
364,469,487,192,397,225,791,033,659,090,600,773,335,616,486,588,063,954,568,
045,757,461,525,892,066,959,441,905,666,144,424,551,475,760,934,311,336,431,
992,190,248,807,409,253,324,616,099,336,769,631,150,599,796,896,724,544,573,
425,686,201,801,263,980,674,932,271,372,401,220,050,584,539,600,239,473,396,
298,979,404,581,079,004,533,336,367,442,450,602,837,285,125,125,539,777,323,
920,079,660,725,116,360,486,772,517,156,662,368,853,618,688,398,347,219,379,
897,673,328,091,799,217,361,059,783,821,019,650,773,904,567,534,434,766,679,
145,270,501,330,195,979,638,645,528,781,969,717,216,434,400,944,312,038,139,
285,589,337,443,439,394,933,608,502,528,531,969,877,575,906,256,348,107,997,
542,413,234,573,162,148,327,449,058,720,306,067,689,490,476,419,935,943,589,
718,072,766,763,261,501,204,091,255,710,194,097,573,749,223,192,849,366,051,
606,265,271,560,685,082,008,680,428,960,200,344,989,080,263,252,232,827,935,
319,798,116,777,886,258,802,254,191,511,059,529,767,603,061,663,921,371,616,
611,592,458,760,539,851,341,511,670,375,221,224,537,467,669,237,749,493,774,
655,135,420,234,492,585,193,615,203,890,644,465,856,734,949,679,821,167,533,
138,777,418,901,120,102,075,202,807,374,185,338,130,530,472,851,696,181,993,
708,893,188,833,767,114,809,583,040,114,177,413,802,662,168,830,499,618,928,
091,370,398,983,370,994,472,935,085,797,184,027,972,784,029,531,927,868,405,
621,172,305,662,362,286,368,774,740,017,573,055,779,136,384,693,004,261,474,
546,362,108,512,404,566,691,388,514,715,604,770,919,768,565,436,658,934,652,
171,347,451,608,755,050,913,836,066,645,298,893,036,022,951,808,348,844,064,
153,038,887,905,982,647,881,868,191,812,385,965,874,069,819,694,586,234,618,
359,380,345,977,681,961,630,364,548,043,956,915,322,090,505,608,089,068,674,
437,191,749,723,446,825,144,454,136,879,403,145,675,771,411,873,848,225,155,
021,358,066,887,877,744,662,771,985,505,163,921,189,139,587,618,204,261,115,
653,802,943,689,436,058,433,337,976,600,025,642,761,525,799,009,288,144,186,
213,655,466,014,119,612,885,905,296,130,541,764,925,874,287,646,417,202,981,
733,036,852,245,129,591,684,875,962,566,992,255,880,409,822,572,924,091,091,
150,761,808,681,740,952,716,069,102,680,648,956,918,686,238,230,732,972,508,
123,695,356,953,228,587,642,896,180,131,466,998,378,783,492,504,354,127,199,
551,175,383,470,301,254,232,589,691,027,666,997,720,680,270,962,246,977,099,
423,159,292,474,069,120,613,013,377,909,658,233,661,152,801,179,929,612,667,
086,314,846,946,992,457,877,769,220,516,533,645,891,887,950,835,873,012,361,
517,328,347,758,092,505,179,623,504,144,495,332,326,631,929,916,425,217,206,
308,389,038,738,753,766,399,706,575,058,916,499,522,556,838,245,838,699,014,
745,466,554,806,390,430,973,552,745,502,889,826,319,990,906,195,963,139,939,
424,942,140,463,507,078,128,025,125,258,009,657,923,373,231,549,637,787,130,
175,633,508,492,474,267,272,504,761,372,552,108,038,764,084,113,789,053,271,
688,724,534,204,014,296,465,339,934,050,019,818,953,930,813,514,647,077,233,
606,434,962,810,946,874,355,318,797,728,643,668,938,298,892,894,025,735,635,
633,961,687,101,260,744,106,288,864,818,819,608,066,284,601,053,681,832,678,
679,160,008,356,336,068,979,100,105,810,928,524,572,741,650,582,634,998,461,
188,726,694,836,418,632,380,569,924,787,309,537,574,459,672,572,107,824,284,
038,941,962,743,488,020,197,856,796,329,532,896,477,121,554,895,728,610,769,
602,408,492,348,265,251,049,423,920,140,160,985,325,875,716,217,754,825,632,
540,236,779,838,992,524,752,921,688,529,519,088,587,159,674,875,398,282,096,
217,020,124,531,523,915,267,911,967,025,098,983,089,325,997,763,109,701,393,
119,515,394,474,193,198,676,103,841,907,012,918,368,244,089,096,181,752,765,
647,611,595,333,759,216,623,544,659,748,652,753,853,286,610,960,979,252,981,
849,585,697,357,875,159,126,919,529,354,639,810,639,406,911,107,541,554,505,
221,563,155,413,931,684,554,623,378,240,619,465,829,731,339,184,617,555,116,
407,191,238,568,900,404,276,944,515,882,499,162,930,263,054,625,626,108,652,
882,743,370,996,172,824,716,639,488,920,453,630,173,012,978,516,262,719,243,
817,952,015,368,063,044,054,640,916,330,662,002,345,920,461,986,827,268,807,
404,544,490,019,321,915,139,194,096,420,997,033,162,542,557,014,709,265,789,
209,169,241,362,881,777,709,370,490,022,583,266,039,645,311,471,332,933,668,
682,770,904,487,534,481,007,496,134,287,240,536,851,631,212,270,127,692,227,
985,278,170,304,126,399,487,365,573,611,763,249,174,686,789,416,124,544,194,
083,928,748,447,178,609,524,472,841,572,811,688,978,415,224,840,990,632,784,
191,760,302,003,163,010,349,340,232,444,939,170,565,360,643,228,903,116,424,
908,961,475,057,539,172,920,757,093,618,562,251,881,935,738,158,747,570,117,
578,343,456,292,244,005,823,877,634,863,083,049,915,829,432,991,666,363,314,
233,519,066,971,165,828,210,919,683,681,741,562,210,790,606,156,900,104,119,
325,312,467,961,921,151,143,278,256,652,138,365,085,863,412,830,265,803,187,
738,391,494,667,575,478,942,509,957,072,065,259,344,821,850,342,268,323,396,
280,189,316,053,693,800,098,686,411,855,856,487,949,570,492,154,057,516,147,
679,748,844,482,653,110,018,938,188,007,717,742,172,081,186,964,898,117,852,
593,720,851,040,906,221,482,849,112,815,875,646,415,380,960,718,895,012,679,
008,029,599,879,633,773,903,433,399,557,553,064,338,099,624,978,214,344,853,
014,914,298,735,023,642,976,256,153,162,179,975,343,504,233,931,532,212,983,
232,989,296,770,725,598,737,674,857,972,007,908,007,352,749,096,767,087,367,
727,235,023,012,704,179,924,460,795,900,504,087,154,719,724,535,803,201,621,
290,589,949,999,656,794,896,407,649,875,941,373,659,231,533,784,820,850,754,
903,770,999,846,514,076,804,770,855,591,379,235,825,383,092,041,584,214,473,
911,977,996,168,821,190,401,920,025,521,158,092,724,641,388,088,252,040,848,
023,712,888,807,951,914,541,752,099,639,394,417,659,538,148,322,749,495,728,
356,367,214,450,200,372,435,086,809,353,250,149,112,374,133,449,002,238,678,
053,267,800,823,454,547,940,701,275,521,828,704,114,589,111,407,997,432,247,
420,521,717,738,176,147,438,764,753,852,427,473,624,852,011,132,719,831,661,
009,719,884,108,245,696,282,702,770,638,965,212,633,387,929,286,423,979,516,
839,343,291,429,457,992,257,176,875,563,936,494,120,684,226,055,025,968,658,
664,596,754,788,653,591,244,293,075,651,122,638,358,359,853,261,081,323,659,
208,389,358,629,187,343,644,897,759,194,116,612,798,417,455,219,078,268,323,
823,377,760,758,993,994,090,282,695,204,517,937,460,142,422,941,335,287,936,
839,639,016,884,568,945,095,140,705,276,293,185,263,200,946,762,670,885,492,
409,300,573,089,524,931,946,393,857,024,287,069,050,777,174,639,295,230,149,
679,500,442,347,015,655,672,431,392,154,570,044,980,629,228,543,632,877,886,
552,551,443,359,395,676,087,126,262,228,349,476,311,003,856,617,866,090,464,
598,293,940,688,876,380,682,508,340,980,530,026,043,556,862,248,587,746,399,
347,631,581,013,895,335,743,053,074,695,976,082,647,809,883,956,278,222,716,
031,917,737,015,908,210,766,271,302,448,663,307,119,994,942,901,781,662,385,
981,785,829,605,003,498,934,093,222,759,462,028,327,021,768,213,076,466,707,
713,411,876,274,325,053,592,541,910,035,744,203,903,100,035,479,027,887,834,
289,660,056,015,078,274,640,744,895,159,016,551,105,935,310,581,429,863,198,
479,473,531,405,225,904,826,383,379,928,000,581,566,281,046,865,366,342,766,
880,592,600,402,096,223,550,935,769,776,581,206,073,464,722,034,657,124,534,
725,672,141,475,135,746,632,298,705,998,421,984,581,496,110,859,836,152,212,
002,675,361,791,773,328,598,530,453,810,933,175,774,577,493,862,726,784,374,
728,714,891,647,507,098,291,240,854,120,915,304,093,716,232,013,536,630,060,
265,185,356,666,428,420,341,488,058,063,150,885,455,737,078,627,077,262,002,
622,511,735,041,600,650,710,241,854,956,504,236,554,627,362,535,922,448,060,
726,630,568,900,863,517,974,945,375,681,527,586,711,058,803,273,555,656,690,
814,662,319,899,921,109,266,316,404,759,003,617,095,768,255,010,604,075,104,
086,143,109,010,606,974,402,970,161,448,252,487,500,071,072,499,126,389,742,
841,418,517,588,910,063,657,449,988,114,357,060,289,336,481,081,415,851,852,
139,822,713,903,568,229,423,146,647,828,631,230,164,215,764,329,823,942,048,
800,298,776,087,636,938,619,123,505,260,050,013,196,420,982,255,625,145,680,
765,744,692,981,807,939,063,130,235,439,559,384,145,420,678,891,811,929,573,
474,958,927,441,954,879,215,413,635,601,538,803,258,975,479,289,461,280,082,
103,447,561,787,602,767,119,913,016,468,360,085,574,686,944,604,125,582,632,
025,144,766,162,464,265,202,043,454,361,344,747,791,190,471,252,899,144,836,
456,167,414,784,187,132,011,359,017,313,861,573,559,144,898,732,657,805,364,
471,075,595,306,327,348,892,017,087,765,034,280,500,958,754,819,788,286,406,
677,087,709,016,689,340,743,400,719,214,513,274,215,021,282,175,880,002,965,
317,009,444,998,615,930,073,562,373,412,765,100,692,720,964,363,714,688,761,
217,701,798,418,005,680,637,344,324,998,306,193,743,891,966,462,597,470,467,
566,217,168,701,718,880,032,849,694,583,824,082,672,657,377,569,836,597,853,
374,146,480,432,529,549,923,007,731,054,452,585,912,423,481,497,129,189,521,
105,275,230,152,522,273,512,353,755,652,771,147,509,048,338,112,582,473,252,
177,632,179,471,794,867,874,063,713,061,109,313,609,082,615,535,294,939,153,
747,307,217,280,144,590,261,648,764,152,292,976,570,230,638,955,582,436,117,
405,970,013,443,127,285,144,408,233,249,737,508,965,788,876,707,244,158,466,
529,104,177,997,245,319,491,685,384,689,461,686,423,592,226,984,583,938,825,
799,351,210,298,785,976,990,766,762,015,874,637,656,196,289,247,311,361,623,
125,250,204,922,060,551,992,032,269,465,203,162,605,867,194,661,746,232,644,
214,346,360,664,694,812,880,185,737,327,872,310,065,792,299,514,941,677,252,
169,651,531,037,104,235,038,355,496,938,737,225,062,903,715,699,178,909,821,
453,195,931,637,355,992,339,438,750,420,236,452,037,418,928,840,457,556,059,
855,706,429,147,028,329,808,195,333,984,369,252,637,179,192,372,117,642,256,
468,407,563,779,286,794,288,680,369,255,184,373,790,267,230,961,998,155,528,
038,888,351,076,300,558,155,671,187,829,903,557,773,438,609,128,104,209,191,
767,626,391,153,483,512,998,229,152,951,662,343,274,567,544,442,148,762,011,
164,165,344,586,537,297,622,547,991,633,565,922,220,656,627,311,070,327,994,
883,698,794,609,001,425,626,063,401,709,900,229,961,622,189,022,489,588,823,
500,935,659,916,271,429,263,170,399,532,044,494,562,727,611,088,451,148,272,
738,844,614,166,437,275,834,442,852,892,671,491,749,380,051,013,256,147,007,
381,021,124,758,231,212,214,279,989,575,352,240,064,532,735,392,971,845,642,
289,675,360,020,317,350,352,629,160,430,969,349,715,708,215,970,508,731,883,
999,439,787,285,336,175,680,035,953,117,667,058,508,633,090,207,951,501,300,
052,774,903,785,179,030,512,998,140,648,123,183,460,922,434,319,392,837,611,
955,005,007,608,856,468,501,006,398,410,149,781,068,858,470,359,715,007,399,
154,527,876,190,571,215,727,329,860,748,013,921,797,151,165,005,398,691,218,
507,130,403,275,415,804,914,093,694,851,211,870,242,951,543,765,714,324,296,
080,171,230,692,308,558,830,581,425,150,621,731,851,080,397,620,987,501,365,
620,133,399,633,081,161,137,864,619,491,887,738,173,651,384,384,166,545,737,
155,411,189,635,820,995,926,026,189,759,496,383,203,088,190,485,007,901,188,
364,421,587,145,893,317,244,849,916,222,321,095,980,679,013,947,092,236,514,
824,574,004,969,976,362,898,327,750,243,734,578,601,372,207,479,252,583,120,
016,717,832,074,958,918,481,486,501,560,200,989,476,255,527,017,894,758,770,
346,922,027,088,628,280,392,222,506,242,417,554,225,282,083,061,424,012,828,
641,413,047,111,011,407,826,733,467,363,271,915,069,206,445,897,272,835,191,
715,375,000,960,577,077,670,012,000,753,178,212,375,769,612,566,207,053,213,
953,139,858,074,835,358,815,182,468,038,436,277,675,386,088,020,350,320,264,
765,920,860,839,320,649,141,938,296,339,789,452,870,811,727,350,439,970,784,
228,142,258,779,752,043,082,215,173,811,497,725,554,810,343,403,148,147,159,
121,302,587,431,009,523,021,342,435,228,014,271,690,826,230,976,348,391,780,
593,452,784,296,014,610,381,351,334,418,414,411,071,645,355,594,395,970,398,
079,788,771,049,127,597,798,778,088,977,150,339,445,817,253,592,183,511,448,
296,727,861,178,933,552,894,324,712,324,597,036,460,397,569,877,008,787,156,
338,966,765,525,408,673,091,759,053,562,870,667,297,029,750,330,387,437,741,
987,101,510,477,016,428,031,164,593,822,626,140,972,832,090,075,273,937,001,
110,896,653,377,377,420,622,918,725,837,441,490,948,568,235,940,418,688,123,
153,631,185,871,042,289,395,575,805,775,332,011,000,457,538,139,667,873,714,
453,021,540,347,904,923,727,655,227,353,428,539,432,961,770,275,097,417,001,
984,589,601,761,477,143,268,567,726,647,588,286,770,821,143,881,287,339,697,
583,779,712,838,519,492,652,693,717,991,221,240,003,453,468,783,405,004,693,
139,679,795,665,259,080,984,150,143,478,174,429,381,166,063,877,577,773,452,
186,510,665,828,208,733,449,322,593,044,597,916,384,022,400,167,336,148,453,
853,489,689,631,000,128,661,370,723,752,291,819,128,470,965,683,869,898,865,
259,489,872,116,692,666,793,567,566,369,689,750,871,743,618,901,757,383,611,
972,065,016,929,090,385,783,599,264,649,568,023,888,311,591,889,267,305,877,
766,005,352,094,950,947,433,914,018,161,504,121,435,526,554,351,586,443,576,
557,944,244,451,584,453,353,385,555,236,128,694,925,627,157,922,934,701,351,
806,789,935,284,044,306,992,092,981,886,978,248,047,179,951,109,753,697,095,
791,895,051,059,450,214,515,402,879,867,914,485,385,233,556,411,850,281,741,
698,355,324,169,124,258,684,612,508,199,452,096,670,622,976,768,107,246,799,
074,476,352,348,966,808,743,231,258,759,573,378,763,347,414,467,733,974,116,
033,522,731,731,167,029,179,513,480,943,684,524,724,662,508,456,965,196,607,
841,615,770,786,643,050,937,633,227,872,995,225,069,564,008,775,398,251,890,
203,822,627,631,502,024,143,046,503,763,400,172,295,998,191,076,010,710,610,
370,084,116,187,026,074,960,745,772,969,268,754,303,087,834,598,991,128,561,
678,635,444,077,960,871,000,643,578,361,653,975,995,190,958,291,796,182,393,
290,192,995,068,373,577,601,744,335,564,962,835,497,486,621,795,183,719,369,
632,343,157,132,910,923,761,860,701,511,534,022,995,698,578,835,045,704,847,
161,742,114,361,302,850,607,994,353,725,327,401,878,446,917,841,951,773,874,
700,723,525,679,000,871,810,294,998,627,586,128,961,839,117,078,047,285,966,
838,439,744,760,926,290,582,653,850,049,692,818,722,699,572,041,940,846,132,
451,171,287,312,112,900,324,403,358,830,210,099,990,344,011,078,037,524,401,
746,019,795,550,150,429,064,564,773,290,134,399,944,586,963,826,203,113,983,
870,421,891,402,244,534,746,266,382,123,019,926,944,532,539,791,941,189,326,
747,808,562,098,447,768,582,934,872,807,862,223,133,223,966,432,652,172,345,
470,289,757,608,582,061,885,064,560,298,686,739,839,648,991,544,844,524,563,
066,168,807,366,421,356,453,425,064,428,233,906,686,613,134,827,499,253,643,
296,569,133,580,210,545,273,068,582,565,467,236,318,404,458,245,893,704,071,
598,134,087,910,884,982,001,271,623,114,166,690,094,730,842,949,885,750,385,
779,135,187,105,238,638,297,843,307,628,072,369,582,031,049,300,083,751,667,
781,472,487,194,991,911,838,921,864,415,532,561,697,324,954,437,504,089,374,
614,329,581,108,424,728,166,090,392,725,554,265,500,933,662,656,963,393,625,
676,860,479,063,072,932,482,746,990,430,197,788,067,327,123,278,751,383,150,
508,858,492,921,493,934,425,237,693,428,975,584,572,343,963,742,495,439,695,
825,749,775,926,006,643,668,345,593,764,859,336,372,267,890,793,428,318,548,
179,294,698,076,966,244,359,410,032,019,503,570,007,100,704,137,447,968,999,
003,013,794,717,736,356,508,526,674,483,523,873,050,356,914,685,612,086,106,
503,466,873,411,891,116,455,208,400,202,105,017,112,034,621,817,527,937,394,
873,275,795,879,582,997,531,354,111,215,614,914,646,344,965,793,876,598,395,
791,681,425,531,630,739,919,227,489,591,020,975,367,031,997,969,192,271,697,
504,343,579,428,482,731,852,236,988,250,939,182,294,423,959,725,953,361,410,
644,506,149,651,169,490,032,600,659,327,218,562,592,955,445,955,812,289,347,
203,053,588,083,298,587,841,832,382,559,956,515,586,651,717,923,746,727,847,
795,220,174,625,981,997,059,679,543,711,328,403,785,820,000,788,026,231,372,
221,438,040,328,940,613,208,539,855,411,538,026,759,932,522,002,629,614,909,
060,276,979,699,941,972,726,610,731,002,888,387,298,862,421,491,451,953,273,
179,521,045,367,008,759,877,995,729,322,961,487,678,454,084,359,546,297,146,
932,258,613,921,693,380,193,640,336,775,702,889,066,617,314,757,680,744,992,
515,451,845,145,637,965,684,493,794,984,717,069,063,330,417,205,740,689,074,
839,764,683,469,006,297,393,952,347,644,567,301,927,597,608,190,836,238,505,
036,651,838,372,525,212,567,293,462,250,138,431,606,382,340,839,140,565,039,
728,705,556,519,264,756,432,946,918,578,902,465,126,411,087,219,980,215,363,
195,300,987,982,452,888,917,473,505,138,904,727,992,387,669,496,156,546,862,
896,893,678,229,990,234,331,380,334,020,538,514,586,726,146,520,997,083,287,
682,435,935,235,889,303,167,692,085,341,395,379,832,350,143,702,578,985,673,
619,037,033,162,913,938,777,729,710,325,216,489,609,846,042,893,453,320,049,
312,171,539,882,852,567,235,016,207,156,144,647,367,138,778,746,062,669,267,
701,735,674,539,541,273,926,185,372,625,685,273,096,776,166,754,631,128,275,
302,193,789,789,269,013,546,084,895,099,850,099,841,199,885,001,945,072,784,
109,294,559,428,777,262,640,059,907,299,624,812,388,946,652,264,787,533,613,
394,525,088,261,726,419,578,854,449,336,308,799,755,593,456,350,431,797,343,
085,242,758,691,819,034,050,803,558,720,534,634,202,648,582,203,168,868,688,
417,773,239,992,249,530,191,399,149,149,775,492,076,109,017,607,542,065,410,
264,683,950,644,791,782,433,154,618,274,509,099,566,442,994,243,350,687,591,
512,465,608,863,273,305,416,836,446,730,653,745,471,631,269,101,907,720,304,
165,185,913,556,150,719,981,834,379,072,424,707,908,312,054,702,927,195,433,
080,284,902,018,849,295,344,798,881,925,447,648,549,366,413,174,808,717,135,
050,540,310,778,125,417,556,807,246,384,761,837,507,458,193,266,723,894,532,
341,796,305,930,926,013,783,999,773,923,180,187,402,587,944,215,903,714,228,
700,588,190,680,268,135,969,900,737,067,059,971,122,278,719,059,169,759,230,
577,044,680,381,014,878,244,458,665,870,952,343,679,621,806,403,053,109,347,
436,525,800,904,410,149,345,243,711,128,900,929,760,214,982,528,729,410,373,
351,774,392,948,660,364,890,965,978,791,764,273,699,333,455,504,056,253,701,
985,811,484,823,703,638,033,656,970,713,569,161,780,016,475,241,140,613,673,
946,338,619,410,641,209,470,677,075,479,494,146,235,392,093,214,057,256,527,
477,183,102,114,445,782,287,532,501,024,531,646,612,628,846,140,496,394,007,
181,042,892,127,862,565,483,229,822,930,281,926,043,631,059,943,520,268,423,
118,404,555,361,906,463,417,225,782,931,296,970,056,413,534,727,013,108,481,
862,933,821,164,361,514,371,331,307,208,374,031,852,684,433,615,926,158,633,
440,750,705,051,363,641,208,033,285,842,703,543,302,197,230,537,182,418,584,
242,500,330,405,018,726,456,359,874,031,978,002,749,936,756,602,042,087,025,
829,004,460,561,787,556,036,609,959,489,090,077,242,080,281,547,199,881,118,
267,865,351,950,993,486,072,586,096,513,836,747,633,859,106,280,134,287,045,
088,759,602,514,537,278,221,587,025,913,287,705,832,267,477,234,866,501,376,
437,158,776,062,422,489,155,681,261,475,174,268,951,364,127,750,653,227,782,
702,242,567,627,945,598,594,660,351,646,726,894,660,977,163,852,437,562,848,
707,935,333,813,286,112,485,340,361,831,080,540,004,165,882,415,861,480,717,
625,173,278,962,732,603,009,213,556,935,696,140,065,286,843,418,521,179,746,
614,978,536,271,022,746,632,713,031,159,250,955,374,900,064,885,644,630,625,
570,097,702,015,263,734,224,142,374,723,284,171,244,064,468,734,948,983,595,
840,809,972,816,923,094,630,991,966,662,038,275,922,290,598,807,352,560,039,
244,849,052,934,474,380,704,967,209,439,237,574,112,100,078,423,976,082,844,
826,651,825,556,547,866,842,961,024,034,665,783,478,832,689,305,462,631,558,
690,644,716,373,018,803,931,768,626,756,642,651,763,079,491,939,426,037,695,
612,707,711,674,811,119,311,980,956,207,744,836,629,178,685,017,414,873,315,
516,143,538,529,110,102,164,196,271,606,349,850,800,306,471,438,393,391,456,
881,547,912,865,344,668,486,216,813,852,671,726,512,834,489,672,492,560,191,
696,261,052,516,505,125,399,878,563,817,367,960,743,520,606,827,375,895,373,
548,853,049,523,585,975,672,366,484,025,177,732,579,219,646,271,262,952,834,
619,969,477,616,467,943,669,713,148,648,611,639,729,154,306,547,669,256,351,
999,305,351,318,906,496,762,702,220,933,247,755,251,895,876,423,950,277,436,
790,943,192,637,828,218,234,046,792,381,962,391,197,626,364,705,712,987,160,
812,443,418,740,716,507,149,281,730,146,029,728,575,683,080,280,581,777,484,
254,773,394,230,546,453,188,755,164,128,233,056,470,939,208,898,137,570,309,
778,961,127,897,639,205,121,765,818,141,309,728,964,431,211,046,553,607,893,
531,453,432,013,878,021,989,909,019,981,985,713,395,243,090,487,143,126,860,
639,683,026,701,268,918,618,445,277,705,645,532,433,491,949,010,826,592,111,
676,266,381,993,421,378,130,016,339,112,836,173,992,908,112,590,431,322,809,
592,543,534,528,475,898,485,066,455,107,999,026,822,086,074,656,977,013,945,
453,418,574,550,498,829,382,849,251,594,731,526,104,301,358,907,093,882,972,
414,753,284,003,594,677,375,335,868,158,413,899,740,974,989,355,281,377,114,
574,616,333,736,491,725,665,794,629,892,443,455,382,572,179,040,266,497,207,
467,708,842,566,917,458,003,630,735,672,715,301,898,427,832,866,890,861,068,
606,374,406,266,687,396,605,532,277,325,847,996,824,563,125,155,878,072,637,
598,537,256,332,725,179,913,048,408,099,688,153,633,836,827,904,416,449,084,
382,740,036,202,292,061,296,033,163,674,414,472,647,972,775,276,337,237,402,
932,959,251,173,639,078,839,574,047,571,327,582,838,664,030,604,513,324,592,
290,211,474,898,104,671,521,253,934,184,386,524,781,830,076,401,837,046,969,
420,424,190,926,508,394,798,477,193,353,546,331,570,077,902,921,390,347,612,
686,916,359,441,767,893,428,097,329,697,293,585,651,586,788,962,638,680,161,
845,569,936,436,312,323,317,054,929,381,275,659,142,034,837,094,859,820,363,
253,099,637,117,151,834,063,589,240,583,143,890,465,517,352,481,306,377,342,
652,352,065,601,646,377,934,502,000,524,933,371,954,010,840,818,987,279,710,
207,788,829,442,051,795,679,242,837,963,728,675,243,107,891,416,169,446,940,
738,352,761,288,141,721,463,916,269,917,967,047,776,599,791,661,718,233,012,
634,698,289,702,761,626,980,673,237,976,999,741,686,225,836,040,158,804,166,
586,326,909,715,489,705,482,578,420,800,566,666,892,354,157,570,578,148,978,
905,982,084,658,684,767,532,079,238,253,912,283,261,932,471,139,839,007,415,
910,323,054,376,510,415,562,865,439,690,879,018,851,303,457,446,317,144,445,
765,743,898,947,956,608,946,131,928,945,657,824,996,723,269,864,398,549,222,
310,774,678,358,880,942,359,104,741,060,556,148,944,194,294,790,343,933,975,
239,064,204,279,140,723,110,115,712,427,571,706,272,976,880,547,847,281,058,
204,058,239,396,001,566,169,797,565,567,849,398,859,951,791,787,440,181,051,
028,161,747,863,413,589,581,952,883,397,223,226,635,508,466,011,245,137,766,
140,115,454,008,132,698,055,772,304,603,531,940,085,020,002,239,592,621,687,
092,880,850,842,238,436,126,110,257,430,540,377,263,381,764,899,213,021,684,
529,444,071,546,415,565,307,155,415,078,615,220,448,719,069,459,097,730,260,
936,011,118,842,782,987,295,751,071,590,360,241,687,070,135,697,005,999,517,
285,043,764,159,263,223,281,356,920,332,585,054,128,093,339,550,673,380,117,
563,836,555,017,977,117,271,407,583,496,452,526,843,289,520,121,011,393,221,
966,769,420,039,306,890,563,729,266,376,850,093,953,268,978,700,458,937,723,
254,867,000,390,347,463,194,165,405,847,621,155,947,153,651,270,196,845,896,
378,388,975,894,847,488,178,489,712,507,847,566,091,470,962,677,288,539,312,
012,128,232,745,647,024,381,446,743,002,719,550,035,082,611,730,634,397,445,
626,340,957,911,532,744,253,008,814,021,695,834,706,941,158,309,788,686,480,
309,306,958,871,715,268,322,531,110,278,545,065,934,949,767,768,309,177,686,
794,525,036,113,187,192,808,765,766,288,522,310,286,772,799,372,898,552,826,
023,588,451,359,837,283,582,103,450,675,524,279,740,278,219,149,856,854,486,
630,628,173,234,379,571,562,632,771,755,247,835,009,040,055,967,949,248,835,
188,262,615,178,519,873,236,494,769,591,637,157,211,450,080,364,547,769,845,
397,250,159,958,038,342,533,497,574,898,034,203,510,110,478,417,875,020,574,
763,620,993,229,861,628,172,685,940,373,195,578,109,068,931,646,667,772,957,
986,137,673,728,304,236,575,501,405,289,757,604,150,775,303,961,971,892,055,
339,280,038,492,322,961,299,449,403,152,017,381,630,814,684,609,838,939,197,
465,114,483,080,140,562,479,855,913,105,754,194,892,387,557,587,863,372,503,
884,084,823,239,010,688,860,027,978,542,923,948,121,094,428,688,619,745,965,
383,191,917,303,824,935,458,682,320,760,352,490,991,704,261,881,928,149,186,
691,979,038,576,768,861,255,000,707,794,587,934,247,110,434,612,353,112,392,
297,194,360,885,525,304,118,399,273,033,371,173,384,262,566,939,178,852,458,
188,101,068,288,608,093,810,844,516,176,088,902,372,775,616,519,468,360,314,
578,758,966,224,971,260,507,651,991,548,506,057,818,834,541,055,470,492,786,
784,327,487,066,673,143,160,719,919,154,640,061,629,266,480,810,924,436,052,
061,664,135,210,796,741,882,383,232,167,953,414,512,487,134,711,565,096,424,
311,087,783,110,577,559,619,008,804,541,810,281,701,401,059,872,794,412,477,
612,607,013,090,645,427,564,007,844,552,741,894,985,856,443,960,831,436,915,
512,618,181,359,055,614,409,815,328,933,498,765,145,124,768,028,854,806,729,
856,060,610,901,535,876,138,634,953,344,204,173,837,730,206,315,980,081,606,
124,926,808,172,031,692,739,456,193,376,249,307,607,144,371,203,081,547,232,
030,339,784,225,293,786,842,104,678,449,918,625,738,780,113,245,772,267,775,
967,946,432,361,304,992,490,545,212,837,606,109,398,528,637,629,649,578,094,
263,241,545,006,705,611,872,444,466,300,297,904,967,105,739,550,334,583,266,
810,102,893,337,884,540,783,662,221,218,158,593,775,624,001,967,178,772,718,
785,524,148,984,233,865,155,175,412,280,197,417,876,479,614,334,855,281,835,
386,541,086,119,858,174,625,587,039,624,082,734,013,625,389,336,991,115,095,
023,293,476,879,476,294,329,481,943,675,931,228,108,026,732,955,189,144,094,
338,099,527,964,139,176,048,779,899,220,474,508,765,749,504,021,844,448,593,
888,172,386,498,771,026,644,206,149,352,110,286,212,352,369,094,636,091,160,
185,143,679,912,257,612,863,095,774,250,915,209,588,531,477,159,527,582,448,
063,375,917,782,465,926,740,769,220,320,716,417,585,205,128,948,153,742,917,
101,789,370,905,027,131,945,288,028,884,270,723,940,938,608,303,724,679,157,
936,831,838,456,851,336,709,288,942,036,538,410,634,644,126,338,416,845,223,
904,208,754,173,565,124,144,715,366,615,729,444,989,311,622,611,270,460,307,
105,173,703,336,798,059,943,446,398,038,651,093,931,031,911,522,987,808,458,
818,913,511,072,950,440,525,955,556,562,795,922,712,097,583,543,930,665,808,
159,632,086,658,544,867,392,757,296,032,262,201,762,259,120,985,727,085,736,
966,654,407,322,795,727,133,928,954,783,029,036,573,421,240,680,770,043,372,
509,828,030,338,213,084,500,294,414,029,878,444,105,879,262,908,624,891,941,
209,249,380,573,503,824,808,914,297,294,909,296,363,142,956,438,832,707,087,
018,646,593,406,741,985,667,200,326,511,300,435,679,536,470,385,310,243,957,
532,465,042,934,345,728,012,207,647,629,917,790,824,580,997,130,316,897,536,
526,965,456,151,638,734,561,724,839,449,128,815,178,731,781,631,463,277,517,
946,388,174,864,277,289,639,155,232,476,495,419,445,026,968,527,221,878,279,
063,396,371,534,699,282,993,289,902,899,749,855,416,735,977,384,638,495,994,
100,989,037,514,215,986,458,377,460,277,958,660,660,594,738,626,618,307,666,
760,503,888,341,948,954,512,283,924,789,560,972,324,764,442,297,846,903,228,
529,071,884,682,849,426,620,685,118,644,650,915,543,029,720,191,063,723,122,
950,548,887,340,198,458,107,080,307,229,818,011,335,521,145,141,360,106,414,
957,330,853,996,492,574,357,237,847,800,960,363,826,520,034,005,285,950,247,
722,620,391,918,680,593,025,691,300,569,066,461,265,998,744,630,869,921,651,
398,816,561,860,626,643,055,836,920,286,805,663,407,302,908,172,002,511,955,
910,463,515,960,153,787,563,011,594,358,017,535,940,238,317,035,852,045,026,
411,243,159,036,383,520,927,773,403,068,485,027,865,359,995,339,660,084,845,
072,407,714,163,962,815,897,591,325,967,640,949,397,996,720,007,431,722,856,
051,165,707,001,394,775,817,087,548,227,339,326,477,855,204,752,980,357,145,
014,478,365,203,007,537,721,387,767,941,991,315,402,156,931,634,528,898,835,
440,323,875,149,923,396,496,753,832,163,732,890,213,441,416,574,629,993,214,
265,886,861,884,860,579,357,182,656,133,661,308,592,713,260,175,851,779,791,
805,016,812,780,067,040,560,902,668,715,499,915,428,706,921,896,029,251,353,
830,825,187,478,907,439,764,726,081,734,676,122,231,712,150,868,034,481,869,
152,350,548,926,090,762,631,788,427,820,589,339,893,779,552,768,074,067,842,
674,872,923,196,986,814,831,360,739,751,410,397,498,071,449,732,247,876,221,
397,725,589,294,153,202,564,538,773,589,236,890,464,623,447,988,925,692,862,
356,183,321,403,546,375,280,419,888,786,792,490,321,996,931,410,585,567,889,
240,026,764,830,038,607,186,269,520,500,059,419,523,341,451,491,509,015,810,
770,281,033,627,240,450,360,970,170,223,061,457,771,631,776,148,565,663,518,
407,733,100,978,946,270,142,423,852,359,854,622,758,767,731,112,677,302,046,
945,146,022,001,076,492,131,688,472,021,679,644,403,886,508,932,932,613,046,
400,541,860,374,174,366,059,067,018,996,654,627,130,765,557,283,201,620,608,
769,473,023,795,805,091,373,176,655,779,447,663,789,516,355,608,920,545,423,
933,962,763,088,344,278,204,680,622,034,907,143,173,002,451,183,819,549,149,
762,386,698,135,790,269,763,919,112,893,059,664,627,736,566,777,905,581,703,
496,529,818,253,345,850,832,510,858,642,904,791,923,339,982,523,090,460,662,
026,326,996,707,354,502,503,064,849,952,810,316,944,591,233,353,007,409,338,
097,458,219,068,102,786,280,858,562,456,124,178,932,131,440,905,698,627,601,
918,561,699,626,765,970,165,160,610,251,319,511,610,858,891,963,014,154,051,
566,858,456,063,974,469,355,636,912,087,429,998,979,747,591,444,932,002,915,
979,016,427,426,059,836,688,292,314,425,674,756,890,248,536,945,700,722,534,
994,526,268,553,607,303,343,860,098,493,837,744,056,263,705,679,913,530,037,
887,578,055,459,065,184,587,063,738,370,208,343,544,516,510,749,036,966,601,
074,688,150,312,738,909,645,051,749,978,619,877,660,160,443,447,322,712,715,
825,837,530,913,196,155,112,682,792,437,067,824,823,478,301,923,815,439,642,
084,069,905,001,535,779,499,219,748,007,933,576,729,574,857,491,945,489,820,
192,058,770,721,359,655,980,648,644,812,276,122,032,757,229,541,841,135,982,
283,823,937,956,494,514,793,002,830,128,082,505,065,073,012,842,511,872,597,
624,667,488,100,370,584,463,056,538,391,845,503,565,213,963,865,552,140,246,
117,949,800,388,804,815,332,648,317,183,980,655,229,915,526,187,384,819,673,
722,495,534,878,677,223,587,566,127,237,194,889,723,345,010,854,513,329,459,
777,828,197,854,655,911,443,883,714,193,574,977,945,780,036,138,303,629,574,
731,981,198,416,481,245,199,742,756,192,613,396,531,833,538,487,250,918,847,
889,616,473,988,228,885,383,906,420,493,775,614,776,376,721,162,588,694,906,
079,026,787,065,299,151,890,292,783,472,129,320,792,272,372,592,633,547,782,
227,265,574,288,145,563,558,565,324,111,695,883,232,104,991,956,313,058,978,
524,201,409,330,582,956,995,778,428,045,506,973,859,157,359,609,402,230,424,
556,337,289,151,485,944,042,245,861,813,459,115,363,404,398,691,716,186,533,
179,628,498,097,956,833,403,423,649,371,442,030,093,749,735,285,526,976,965,
399,754,670,609,778,493,947,661,258,514,774,402,453,699,980,979,020,674,001,
572,821,802,862,491,375,339,987,322,365,889,566,950,429,450,432,738,197,854,
837,924,668,604,082,582,789,620,084,090,526,588,790,469,656,680,718,670,337,
805,225,710,632,328,865,923,552,644,482,977,274,703,290,795,424,963,987,201,
663,224,926,273,268,272,976,046,413,234,724,824,851,902,880,046,631,941,216,
475,185,572,368,894,284,793,659,720,615,437,738,768,742,986,149,103,869,923,
213,975,517,140,301,444,242,839,511,987,792,892,759,289,618,713,889,539,220,
659,209,592,085,748,835,446,381,924,149,150,647,031,266,799,091,325,064,958,
136,930,423,928,571,900,014,090,586,306,019,049,412,358,024,581,707,987,075,
516,537,621,358,063,869,387,574,736,647,818,433,830,408,191,354,549,157,792,
278,036,270,364,567,663,529,515,904,371,013,306,639,741,293,648,673,636,221,
571,625,423,977,360,105,518,258,555,340,372,328,530,507,276,236,924,778,670,
339,133,471,241,404,761,937,265,892,322,017,894,483,658,409,062,897,683,242,
292,044,656,509,643,970,519,722,842,612,744,586,096,246,676,576,043,258,610,
291,280,984,207,691,656,765,116,997,902,535,575,928,700,041,634,166,078,405,
410,388,019,442,337,817,986,721,857,360,369,938,787,030,489,598,373,478,301,
062,058,971,113,949,267,713,741,968,310,980,734,432,655,506,924,944,312,762,
011,754,053,047,084,793,767,448,783,442,968,329,157,250,258,082,450,577,461,
260,832,669,140,586,555,144,138,727,358,699,635,856,016,221,153,802,804,996,
434,540,128,382,542,211,163,114,761,242,122,414,125,705,200,214,888,767,292,
954,331,500,374,584,473,436,836,895,558,920,257,252,599,545,463,922,567,611,
006,812,687,448,841,769,261,855,088,182,674,704,603,160,455,543,936,510,891,
664,471,642,037,958,800,271,766,657,042,845,381,541,234,996,190,144,618,014,
316,020,766,816,704,549,055,361,160,045,657,160,623,360,838,665,328,599,379,
842,067,290,754,266,344,324,909,450,417,952,462,406,464,824,181,965,366,301,
550,099,366,871,539,109,725,801,094,410,093,953,887,807,452,587,250,825,452,
817,184,973,780,699,653,212,377,498,772,154,730,410,736,700,848,915,541,136,
662,558,002,311,427,536,905,688,518,321,996,789,010,164,200,533,701,756,434,
666,437,248,445,684,232,033,224,980,871,659,120,691,431,424,632,604,544,912,
349,811,270,559,373,919,461,282,706,020,413,701,286,159,871,593,280,070,030,
004,243,496,099,424,376,837,239,598,854,310,081,854,713,150,907,270,555,002,
167,281,858,381,731,738,010,381,276,833,111,879,595,826,053,912,790,662,258,
221,392,635,540,292,343,223,616,177,094,382,132,237,785,991,925,481,008,006,
790,448,996,558,644,327,602,436,066,344,713,943,530,987,944,320,924,024,096,
629,236,760,064,445,042,317,061,524,449,769,678,839,984,562,802,029,393,784,
065,037,234,060,293,395,949,555,719,855,585,333,771,458,530,402,300,970,043,
119,987,477,099,771,556,963,103,044,244,550,142,777,518,748,698,698,723,270,
404,269,672,710,801,536,838,983,002,179,956,727,463,216,488,405,107,405,066,
700,125,343,634,309,623,340,927,486,640,324,247,384,436,133,097,534,761,356,
594,226,087,573,925,190,230,408,784,809,229,681,590,414,058,857,871,865,129,
781,063,784,646,524,795,777,141,023,868,513,319,317,142,659,300,999,396,492,
593,602,374,739,249,834,472,427,394,121,397,903,793,893,047,549,109,067,804,
003,347,713,110,013,775,632,538,318,656,149,315,242,162,573,047,446,126,193,
297,611,499,731,427,827,262,688,139,212,767,869,356,252,923,233,950,883,947,
285,597,622,078,782,515,595,306,410,853,179,498,515,955,410,858,925,273,215,
552,793,241,181,903,961,757,374,540,760,782,363,188,785,846,245,249,782,932,
259,896,893,968,528,785,671,477,000,694,896,605,039,402,910,183,310,095,588,
547,210,136,940,339,830,351,224,702,574,841,983,152,340,095,884,658,615,310,
434,451,612,078,392,440,135,601,340,804,855,155,122,838,438,184,485,509,081,
553,956,468,559,973,171,494,309,593,134,238,325,610,287,723,213,570,395,653,
546,217,155,621,523,010,600,054,417,632,972,167,638,286,311,881,035,302,427,
638,642,386,028,350,584,845,920,383,338,358,976,888,123,901,496,377,380,930,
604,445,606,965,758,048,059,448,144,615,068,162,199,561,025,952,715,268,854,
177,149,480,862,331,557,838,536,501,178,239,357,914,581,389,286,173,171,781,
522,884,700,945,272,411,047,961,198,980,331,589,430,719,338,247,433,075,369,
745,548,750,929,117,324,730,119,329,972,507,632,869,918,195,065,983,123,429,
775,709,433,004,634,436,142,908,527,278,318,980,697,530,235,507,540,242,597,
862,269,923,589,786,371,000,690,606,208,350,897,715,505,857,945,484,554,198,
521,652,298,762,690,708,076,478,107,064,035,215,180,867,587,087,743,148,686,
510,033,502,741,653,688,256,040,068,783,273,066,941,881,890,464,960,796,464,
668,146,004,303,735,305,355,923,119,074,662,483,595,218,387,992,609,203,460,
595,412,108,050,538,622,335,626,670,619,395,268,713,250,761,493,157,399,462,
365,537,912,383,550,572,745,280,712,116,731,386,089,960,192,412,991,756,604,
660,891,248,579,591,294,714,032,795,455,068,867,845,551,506,313,250,273,907,
851,730,514,788,460,511,824,007,050,986,732,370,200,014,221,000,207,175,921,
245,288,925,949,293,935,142,810,803,771,830,842,562,253,794,055,361,331,097,
101,229,604,026,813,187,183,003,514,955,419,833,445,132,759,902,932,814,032,
613,006,753,612,089,942,264,733,574,115,694,589,547,948,843,497,076,680,202,
153,938,936,900,143,190,538,157,885,319,442,986,698,523,079,551,335,112,858,
008,725,915,954,826,140,882,718,093,076,568,969,139,362,583,173,212,826,808,
609,432,607,464,785,591,365,589,622,817,664,198,358,049,991,150,644,739,977,
252,503,243,532,507,878,849,140,455,515,228,656,313,023,771,736,237,603,800,
740,313,481,063,248,950,563,163,945,406,278,781,022,924,716,619,958,864,104,
363,873,283,312,548,814,046,039,886,379,684,774,954,407,381,517,830,081,787,
162,956,164,896,750,418,306,174,522,164,742,751,224,916,947,649,322,033,242,
035,308,769,822,760,845,602,326,941,837,664,696,170,244,695,607,172,841,919,
314,469,139,034,120,968,430,553,383,887,646,130,542,217,304,065,460,314,932,
723,114,552,602,394,968,305,973,760,197,437,475,445,950,277,292,731,047,258,
128,351,688,614,693,841,401,549,868,289,190,273,886,062,736,208,758,658,411,
118,870,190,105,988,960,550,067,934,689,766,523,221,631,305,856,160,211,217,
371,411,015,462,859,609,920,443,809,427,400,884,510,877,856,616,526,853,797,
746,547,944,562,375,892,475,111,479,882,026,240,602,466,935,105,352,661,450,
256,487,299,093,792,789,748,059,939,342,361,661,040,929,886,140,908,690,468,
266,187,362,646,173,412,113,122,439,768,435,689,997,071,101,617,473,800,497,
064,318,999,166,668,039,845,049,037,976,576,540,998,026,365,126,674,709,364,
359,187,568,008,098,382,681,530,084,114,930,487,263,868,909,820,845,916,603,
996,300,641,817,921,363,376,841,794,038,464,793,416,398,130,081,870,277,693,
102,390,354,296,101,012,157,043,127,908,305,639,378,546,388,211,551,743,348,
973,972,270,495,305,236,664,020,460,569,030,540,549,324,926,141,920,909,282,
425,695,692,425,956,412,814,827,615,691,935,490,742,812,889,635,059,300,014,
222,857,489,986,213,237,370,779,618,452,644,661,188,720,761,407,975,720,772,
930,868,468,433,607,362,804,164,647,729,098,433,286,026,952,662,784,062,119,
277,529,461,809,690,646,460,351,698,276,245,326,293,213,634,483,725,666,758,
514,974,764,254,004,279,929,305,683,576,721,290,060,804,196,568,805,714,321,
278,299,809,498,603,521,785,533,512,657,938,398,233,672,343,250,507,004,913,
336,455,423,922,711,344,710,691,119,173,275,131,891,473,466,899,751,475,858,
135,002,126,555,286,867,443,693,262,481,639,095,976,565,887,225,483,676,520,
605,425,920,244,915,156,177,205,866,812,092,236,614,305,858,951,148,834,892,
229,778,293,194,992,823,518,167,732,581,964,846,169,611,049,920,997,901,094,
942,233,602,001,691,934,745,638,073,121,302,260,624,778,372,927,007,986,076,
216,519,131,025,147,972,744,397,320,190,492,894,325,571,779,044,818,333,488,
132,742,399,492,010,408,849,858,459,293,746,151,281,550,268,160,985,387,920,
784,583,485,149,615,129,100,702,524,870,409,539,203,612,414,836,781,577,329,
288,071,197,657,754,185,225,304,173,803,012,852,783,232,105,282,261,455,506,
255,513,058,950,231,588,037,812,208,123,069,022,303,588,419,828,072,106,460,
533,509,604,534,145,674,769,249,205,177,524,521,431,637,230,943,439,598,419,
082,941,003,557,880,167,789,132,678,428,788,138,692,686,784,554,451,695,956,
834,772,625,322,367,147,906,829,025,982,459,032,198,908,379,088,793,783,264,
071,077,849,949,298,771,833,524,201,318,190,716,050,701,982,845,667,842,957,
562,864,830,245,254,284,056,040,165,713,858,484,153,257,160,511,595,858,832,
836,243,132,832,008,758,567,825,495,272,589,656,210,067,584,310,276,612,561,
903,968,067,282,429,596,565,117,645,088,082,981,287,671,428,300,026,847,524,
842,344,658,512,834,354,687,180,286,987,883,780,923,995,640,776,059,136,640,
210,583,387,129,087,852,390,608,684,191,880,911,660,227,012,132,206,339,231,
819,380,944,088,094,280,938,118,845,800,940,506,420,419,574,217,094,790,678,
906,574,097,977,241,670,201,301,581,106,692,785,209,207,227,840,305,563,773,
084,691,177,444,690,873,517,053,240,022,893,296,647,447,621,506,192,551,210,
585,547,305,037,207,600,599,266,691,925,792,466,594,403,413,862,823,949,656,
697,863,673,844,315,755,072,827,601,675,098,296,903,210,177,358,697,022,119,
747,542,528,395,992,835,884,944,400,074,433,072,845,228,123,067,914,614,626,
315,137,077,023,793,077,257,607,254,330,582,429,937,510,877,430,045,229,919,
429,012,701,574,719,969,486,162,419,490,960,601,743,760,030,534,362,137,430,
653,078,064,582,759,490,175,471,801,546,683,264,619,737,030,837,504,710,181,
215,360,709,605,198,162,224,171,811,286,051,826,571,922,984,612,530,811,857,
171,888,162,934,690,676,545,412,911,541,106,890,023,876,688,143,323,096,726,
212,859,818,941,162,787,961,912,618,799,345,145,619,219,478,066,466,773,919,
049,551,575,000,334,128,312,625,103,063,737,062,369,580,304,078,256,189,178,
312,727,185,126,862,268,912,790,163,146,824,391,759,075,699,102,282,791,454,
063,314,712,204,398,591,888,844,422,563,186,521,418,834,326,823,552,712,547,
456,908,492,530,958,070,597,271,875,646,370,098,226,980,872,766,094,385,868,
810,191,521,869,434,507,824,836,672,563,811,173,947,644,841,663,030,817,687,
765,270,104,893,194,738,834,506,548,946,484,146,253,118,382,140,173,583,525,
634,707,645,424,343,435,564,525,031,880,087,776,012,104,292,053,989,161,269,
442,223,111,830,936,968,750,683,666,139,818,229,192,925,568,246,388,284,011,
671,588,333,321,775,084,389,444,019,081,113,383,063,694,130,835,368,311,720,
227,766,394,485,500,260,231,330,033,639,358,592,483,931,402,916,038,016,492,
600,635,354,392,215,956,143,872,187,724,105,452,628,850,910,653,274,158,333,
670,364,928,966,707,927,105,416,131,145,230,398,378,663,463,026,898,342,637,
006,274,034,126,184,183,684,198,040,847,540,030,890,955,294,361,956,006,794,
736,161,852,946,504,056,046,331,375,481,861,120,829,070,765,607,242,485,631,
419,583,830,189,358,935,746,707,308,212,937,194,686,694,333,972,502,093,336,
765,753,300,047,946,869,377,850,521,717,607,578,334,847,218,263,556,117,599,
111,297,598,658,327,742,084,385,852,659,081,613,564,473,943,682,549,835,363,
084,429,300,455,847,482,156,550,284,086,683,649,014,002,097,289,313,736,498,
767,009,887,877,834,480,380,112,628,655,543,297,191,613,299,335,861,177,411,
825,317,622,394,707,188,958,898,402,110,331,957,658,226,284,395,168,779,678,
594,008,733,367,776,050,173,146,631,622,200,371,783,657,351,185,968,343,851,
681,955,616,416,284,025,945,778,535,529,124,135,656,405,793,885,866,848,232,
365,000,308,748,186,807,602,980,368,365,361,812,160,293,650,928,138,627,395,
487,393,852,064,227,318,475,299,736,063,032,470,841,360,387,697,845,863,419,
155,003,565,326,601,528,573,536,018,562,159,562,263,648,404,160,934,800,922,
307,635,519,489,333,176,522,499,231,311,378,755,259,801,658,030,353,471,368,
757,211,986,052,132,759,035,838,100,565,731,721,475,084,861,644,210,274,456,
747,976,908,280,910,390,455,564,332,933,398,163,727,599,848,768,614,610,559,
299,394,412,710,544,706,563,509,618,400,435,009,429,424,255,873,119,457,921,
908,075,850,710,544,718,486,984,223,257,890,039,822,766,596,133,631,379,416,
705,051,730,358,666,758,229,847,238,156,213,505,939,397,998,463,301,838,044,
261,398,411,119,944,482,139,240,661,090,012,766,558,001,517,317,311,555,320,
866,181,751,417,326,237,135,878,154,528,839,785,191,567,599,554,560,828,690,
386,263,780,752,630,671,974,489,624,556,334,011,790,971,823,937,293,346,947,
928,535,306,780,099,022,073,987,659,971,734,425,434,213,007,749,625,009,065,
763,917,824,783,781,252,364,451,464,015,030,248,449,846,700,864,492,005,238,
132,771,824,971,726,021,989,972,201,161,959,806,438,879,316,534,593,107,388,
191,571,831,109,987,198,674,300,952,876,039,457,421,230,703,898,307,987,996,
115,757,943,384,981,136,808,115,988,159,808,299,761,775,226,744,628,115,196,
232,286,912,907,132,555,830,260,402,464,848,094,258,704,688,858,228,115,814,
372,057,528,455,068,256,691,779,672,372,188,913,165,097,312,200,665,469,960,
149,682,076,747,838,653,099,802,529,590,151,426,450,142,456,758,387,881,128,
137,161,378,420,448,898,358,793,371,102,407,061,469,972,970,630,017,151,846,
882,167,754,992,634,898,311,213,272,737,617,892,046,527,704,398,847,022,502,
301,742,307,834,110,701,024,105,803,536,363,812,382,727,899,762,463,297,353,
719,228,369,810,872,258,270,170,102,623,773,958,330,689,441,341,164,138,545,
980,710,614,518,638,855,381,900,071,566,546,738,238,874,058,532,260,530,261,
369,080,843,515,569,844,344,134,139,507,437,733,533,397,632,964,691,861,079,
846,705,776,563,322,624,670,082,455,237,463,551,165,740,646,137,485,159,398,
019,798,706,732,528,286,463,506,192,530,722,163,324,679,974,208,423,388,817,
811,509,540,585,329,786,564,339,429,183,121,367,848,795,800,927,903,059,986,
713,423,917,542,514,842,575,720,024,242,544,359,069,153,072,927,293,264,659,
648,695,274,794,288,099,368,686,931,247,181,803,110,461,250,228,163,849,789,
978,362,078,663,085,734,869,041,570,468,135,527,255,016,091,412,925,874,076,
792,271,601,750,792,932,087,287,524,434,785,344,507,935,485,799,358,640,407,
711,476,750,479,421,928,644,369,697,113,766,823,597,591,835,217,946,515,661,
176,344,311,949,992,633,509,220,830,303,051,942,827,028,451,214,018,612,507,
696,769,382,589,276,210,267,867,909,210,072,980,319,898,630,544,667,466,514,
138,713,730,746,721,397,581,228,850,959,224,896,767,944,499,069,883,425,352,
267,005,691,166,167,819,353,307,329,662,727,180,566,724,625,396,519,039,872,
582,007,159,681,616,747,765,910,952,823,620,398,964,121,736,719,454,316,455,
646,128,496,110,671,156,388,493,217,763,184,091,445,807,384,776,845,185,930,
350,026,453,544,937,220,188,175,651,910,214,345,216,803,619,602,405,488,353,
975,856,572,502,192,434,693,458,463,906,489,375,284,449,779,813,271,054,008,
392,770,735,038,603,159,957,955,517,063,123,627,974,754,822,170,269,959,212,
874,419,617,797,282,764,813,111,182,584,641,043,477,634,706,989,887,061,900,
212,789,778,538,602,405,486,295,593,894,898,625,250,429,214,424,693,308,686,
743,795,053,429,116,984,672,700,584,277,162,340,454,008,799,537,637,959,739,
212,294,631,823,930,116,055,047,579,314,680,562,115,549,076,657,489,399,081,
368,694,074,909,019,171,516,167,992,742,643,406,804,559,224,647,640,085,219,
120,652,779,413,860,566,508,558,092,655,075,473,748,724,924,882,304,571,822,
760,943,176,042,731,796,845,711,819,402,766,872,424,319,363,406,176,631,039,
840,454,148,380,701,074,523,120,344,826,514,585,333,161,230,707,289,307,346,
915,135,340,120,828,382,218,892,395,864,373,615,304,244,325,579,255,306,409,
222,822,703,315,781,026,090,345,341,800,179,636,892,584,506,238,523,782,863,
589,205,280,809,787,122,626,696,284,223,860,595,506,545,691,450,377,431,737,
495,527,226,133,944,267,351,590,656,564,177,069,430,231,197,061,030,566,947,
533,257,337,240,954,045,730,578,599,745,937,347,046,819,794,448,674,953,616,
366,307,360,881,428,928,795,893,688,952,859,904,254,541,486,442,673,410,425,
984,192,078,407,738,036,241,010,075,645,780,932,410,836,463,758,690,542,121,
361,071,908,156,422,668,868,304,439,174,686,006,684,864,579,511,913,320,461,
241,257,402,830,857,213,626,780,277,961,675,947,619,854,761,196,411,316,350,
280,605,341,646,654,996,145,980,202,475,978,954,150,035,143,952,995,219,061,
744,544,594,226,304,904,070,842,531,822,558,254,174,526,813,227,848,217,860,
221,215,123,979,779,733,910,273,107,520,014,365,022,897,542,647,483,873,574,
855,919,420,601,313,843,233,388,835,287,615,509,943,719,754,009,708,911,729,
314,507,639,039,551,310,045,453,196,133,891,825,343,707,826,683,859,313,964,
423,944,118,334,435,986,290,974,866,007,817,431,528,467,289,942,929,473,968,
798,449,737,936,528,314,109,589,067,462,344,819,195,406,871,592,240,888,487,
608,321,693,391,237,919,830,683,189,014,450,919,543,368,980,644,418,946,394,
174,506,934,753,812,196,174,488,178,609,559,310,577,409,192,194,674,186,124,
187,422,028,975,296,663,418,416,206,318,315,647,034,929,822,325,303,675,811,
317,606,483,184,286,348,027,771,536,019,217,754,206,593,476,258,133,433,038,
450,209,757,477,470,742,284,796,363,058,854,093,826,244,305,958,594,277,281,
479,997,651,174,317,325,535,329,183,725,203,853,100,303,268,588,907,568,541,
958,459,414,573,118,017,574,892,446,553,344,603,219,683,649,896,263,045,169,
203,864,515,636,394,632,603,580,565,360,852,073,436,789,606,614,158,443,971,
284,860,537,478,491,081,734,893,732,908,073,919,940,596,277,429,114,633,726,
614,688,871,350,759,799,977,286,242,628,691,410,010,345,844,435,304,581,138,
259,791,490,019,149,788,016,818,983,789,213,296,603,468,411,537,664,189,664,
870,516,361,428,939,903,280,936,520,327,819,705,157,858,990,000,964,410,990,
808,690,726,792,086,603,019,155,722,463,579,669,144,617,074,333,180,644,034,
950,327,265,739,386,060,688,244,102,201,576,923,127,589,934,134,510,273,446,
833,496,546,883,337,244,148,473,522,404,044,622,912,742,482,612,977,569,231,
419,115,820,929,283,760,887,231,744,404,521,138,276,034,682,141,924,407,660,
293,600,462,025,121,084,419,483,111,860,588,469,455,097,308,456,642,652,594,
993,621,853,546,412,097,285,837,455,991,267,790,301,522,146,859,715,098,976,
804,249,558,865,135,674,087,513,162,384,718,009,041,867,830,718,317,730,875,
709,434,019,363,472,239,934,119,195,061,866,831,796,709,556,527,655,741,668,
765,977,139,833,345,391,709,582,940,291,597,140,134,816,784,935,582,436,224,
747,766,310,338,348,683,027,621,552,739,492,830,861,888,118,944,139,038,006,
589,638,898,358,106,770,191,508,671,101,451,681,900,467,939,210,609,499,248,
145,414,797,617,886,294,816,725,922,358,572,829,871,645,721,651,895,420,070,
321,928,609,190,057,460,342,766,150,600,701,253,083,212,612,789,223,086,790,
263,999,567,162,276,840,431,713,639,584,473,613,032,868,507,677,570,568,739,
880,296,029,639,677,286,221,440,541,464,008,601,196,224,850,166,609,258,117,
862,247,324,380,853,039,332,726,010,196,494,201,038,403,078,449,295,505,471,
748,944,233,490,905,245,889,510,033,330,172,443,728,240,837,221,353,531,318,
003,522,881,265,385,887,690,661,243,882,894,461,133,730,587,379,500,663,982,
284,690,491,589,473,557,880,793,856,307,468,404,252,498,323,621,106,776,694,
903,529,247,097,166,596,082,830,580,836,479,815,797,857,457,569,158,204,188,
145,441,488,455,560,428,295,458,551,246,320,304,806,409,898,534,014,683,655,
082,904,391,943,649,009,812,637,151,039,624,605,007,618,708,988,723,633,370,
332,755,515,143,495,963,413,202,356,308,370,478,969,069,580,104,881,642,944,
652,666,860,695,275,338,949,095,313,258,394,165,356,543,176,355,078,800,216,
623,836,698,979,725,435,561,532,239,303,199,172,209,842,561,066,853,825,470,
381,182,004,892,389,371,417,671,874,401,988,119,416,410,966,931,398,816,459,
824,414,965,155,168,201,509,941,940,630,352,507,491,868,414,722,065,095,084,
677,973,939,329,855,417,966,565,686,901,864,415,271,687,360,495,531,447,036,
059,709,957,297,026,892,826,953,844,532,709,223,299,297,622,090,836,582,871,
892,764,466,021,418,023,243,082,432,152,558,716,961,499,217,201,839,815,946,
828,208,026,269,820,014,530,279,511,715,710,885,430,540,997,452,173,309,219,
454,712,725,616,417,573,629,121,936,315,392,997,503,637,018,865,767,870,496,
629,057,482,322,660,205,073,663,836,906,066,241,117,240,498,250,545,058,326,
287,963,538,314,890,307,552,075,698,234,085,048,266,919,385,608,109,075,753,
660,760,676,547,925,572,531,058,693,326,494,603,706,148,758,165,161,423,874,
770,479,403,645,660,462,241,243,079,703,055,512,482,097,064,168,378,287,930,
628,545,662,841,166,827,123,915,283,493,063,094,866,175,730,560,501,158,478,
954,535,332,015,653,448,579,026,217,333,489,443,405,017,704,861,165,652,001,
593,819,446,762,090,684,781,063,734,373,366,399,596,070,497,579,481,853,594,
990,432,978,748,074,500,629,186,033,680,925,714,075,391,874,818,563,693,994,
798,681,674,254,302,286,738,101,153,770,541,344,646,767,403,974,284,170,255,
358,937,664,029,476,818,238,364,106,122,270,215,854,683,728,243,860,220,485,
336,872,972,535,712,035,808,964,491,799,259,073,648,804,870,011,288,273,413,
573,758,988,572,320,560,254,434,050,876,619,506,871,183,267,766,502,137,894,
547,986,960,479,847,075,873,237,179,849,482,460,485,454,505,061,050,414,135,
456,964,490,390,784,771,743,175,397,186,312,625,228,264,330,496,306,432,992,
798,599,939,422,481,028,800,759,530,988,106,255,379,022,342,350,499,879,143,
501,387,852,066,881,886,089,655,401,780,892,286,497,628,908,603,110,494,491,
461,601,023,814,382,073,747,455,610,855,500,385,133,382,462,432,887,632,984,
547,545,207,798,295,896,606,440,646,641,524,749,308,919,005,285,467,295,000,
642,223,715,766,427,156,370,567,691,213,800,751,091,101,250,431,029,541,789,
413,522,545,052,985,505,715,902,413,113,167,697,716,457,482,257,146,504,022,
784,898,349,646,852,487,940,163,972,961,396,966,231,997,042,083,566,324,683,
111,722,925,110,184,197,326,333,587,083,082,540,785,243,263,480,772,225,025,
712,984,281,598,181,673,360,148,748,269,481,097,540,534,086,127,057,326,168,
435,666,514,009,986,538,955,359,719,086,955,995,700,422,935,497,993,102,000,
780,049,164,857,604,009,071,699,958,508,417,684,173,519,882,251,506,463,676,
580,751,158,388,281,788,649,565,815,068,759,810,754,682,691,379,792,395,278,
945,907,678,559,835,544,740,984,849,946,701,168,448,484,226,340,733,943,958,
436,715,016,493,471,540,424,689,112,682,208,986,725,134,498,652,364,560,544,
394,772,771,787,689,182,929,836,006,385,675,688,920,182,077,322,605,729,025,
230,811,251,009,528,954,062,313,228,551,366,069,712,099,780,405,492,462,035,
443,071,080,267,897,718,741,899,738,449,143,213,835,781,992,720,313,322,197,
934,058,950,845,886,570,666,800,514,630,921,271,662,756,724,173,422,025,178,
187,678,031,833,213,597,511,960,393,135,308,761,382,691,538,976,728,296,462,
823,607,438,956,923,334,089,448,820,432,710,879,105,229,621,750,468,867,063,
897,346,351,163,689,802,552,077,182,587,113,943,076,995,742,840,054,928,380,
808,432,484,783,582,253,354,219,483,309,895,315,937,047,775,152,825,594,744,
173,655,295,454,299,375,279,382,919,980,990,863,304,931,007,590,720,376,457,
904,597,326,723,869,130,125,237,596,397,654,914,815,698,898,372,448,937,320,
779,953,568,614,360,684,864,574,782,165,497,592,965,705,834,788,270,289,693,
633,182,957,962,379,572,444,522,897,630,875,299,273,441,250,470,079,909,940,
332,519,839,487,746,868,384,817,690,471,890,926,844,093,168,539,611,395,217,
922,246,343,599,944,189,187,776,790,738,041,689,458,913,933,580,702,166,332,
442,048,652,212,910,585,387,994,552,601,045,962,797,890,519,074,957,193,787,
997,072,814,947,624,185,122,145,394,561,569,657,210,609,905,427,976,847,774,
823,999,414,231,309,729,937,039,109,021,404,203,926,708,014,001,750,355,620,
646,398,728,753,440,511,309,461,225,998,125,515,422,308,445,515,634,435,960,
454,249,895,280,866,172,823,175,202,547,088,058,765,414,052,373,672,710,942,
440,303,003,001,470,311,019,350,081,078,354,439,193,650,602,131,338,776,600,
996,401,089,333,712,953,945,845,679,828,715,461,894,002,100,407,029,333,858,
525,143,913,538,581,748,715,191,863,391,418,164,554,949,371,697,306,344,418,
622,243,959,144,074,254,128,657,964,858,142,789,612,540,628,594,317,206,358,
805,790,733,341,122,808,519,511,066,000,140,216,946,182,954,557,442,833,325,
573,215,304,594,980,609,389,378,554,800,532,492,902,057,247,581,438,509,988,
646,571,717,202,451,610,741,826,370,360,003,545,886,062,760,520,440,657,392,
193,477,745,102,364,644,869,174,462,738,441,015,628,288,926,240,340,261,006,
818,467,825,196,463,956,799,128,723,394,255,268,852,492,222,318,897,056,289,
592,105,830,411,080,048,931,875,942,571,448,928,525,467,990,954,113,775,542,
963,352,444,473,367,535,475,588,433,335,827,171,327,548,951,163,029,186,075,
958,036,859,338,604,788,324,327,606,383,135,862,880,670,085,007,371,899,184,
504,399,684,145,268,676,777,780,246,417,557,891,859,340,991,843,413,917,032,
171,241,670,327,820,798,054,410,786,543,752,009,394,191,264,524,334,997,731,
937,939,788,013,664,599,759,245,474,572,957,182,061,818,384,671,942,030,342,
758,369,869,015,326,108,934,269,639,355,135,863,992,389,868,207,570,150,768,
435,893,420,235,019,343,838,101,664,281,797,503,233,746,027,794,843,895,997,
728,103,874,603,095,872,136,253,176,481,506,205,412,354,171,122,078,128,899,
657,451,120,099,117,455,260,863,945,883,112,644,158,825,650,121,347,595,625,
483,953,803,061,688,037,513,155,111,816,625,838,366,551,757,799,555,517,963,
524,088,310,896,416,997,848,312,584,199,959,188,240,347,188,119,517,304,635,
178,127,007,217,730,610,047,305,266,278,803,829,341,722,066,947,263,057,030,
491,417,676,608,400,700,165,683,856,421,695,190,803,228,961,895,030,007,461,
462,388,883,923,270,629,260,235,525,129,050,507,291,795,691,334,276,246,317,
013,318,197,753,178,872,320,941,000,666,718,373,361,213,273,139,703,949,276,
115,196,503,756,402,427,943,415,896,266,337,907,660,534,722,462,276,105,454,
873,003,647,305,976,808,232,679,608,818,516,913,154,018,511,971,318,527,823,
989,790,216,315,369,557,047,239,670,426,733,355,483,305,948,815,186,285,915,
229,376,638,116,033,518,841,208,091,522,295,840,913,440,828,214,350,482,638,
520,755,926,802,338,238,034,601,819,794,964,943,978,250,572,371,419,356,209,
844,908,626,829,460,876,746,267,456,793,092,696,457,902,878,526,023,386,606,
406,867,837,301,225,670,372,980,974,937,832,370,571,001,303,444,038,972,984,
696,222,198,854,850,509,114,468,952,557,743,275,481,787,169,349,044,428,011,
101,896,889,409,548,375,656,162,587,399,030,212,740,775,254,991,791,953,703,
489,828,025,605,662,627,996,004,496,478,055,276,342,158,354,380,249,905,232,
711,952,715,065,353,206,515,742,756,900,068,507,119,733,158,596,220,387,384,
661,325,375,547,673,807,415,107,184,089,572,090,592,974,895,664,784,313,199,
471,430,166,769,150,672,792,221,710,668,889,039,354,895,605,263,504,754,189,
496,559,281,719,700,395,127,547,187,750,702,219,243,274,915,385,732,460,744,
743,822,364,154,391,433,618,865,561,470,868,455,799,950,968,818,919,627,838,
327,839,448,990,113,002,563,766,563,820,968,561,620,287,737,548,237,439,494,
947,864,882,996,759,263,688,420,193,700,541,942,319,839,160,401,847,464,981,
683,037,940,364,541,183,574,536,717,409,109,210,196,034,252,197,359,828,011,
569,912,681,609,317,183,623,965,902,078,383,746,289,274,195,348,790,631,767,
277,676,244,315,788,944,374,547,455,791,877,066,501,950,410,224,969,165,272,
933,385,857,051,764,330,185,369,495,369,895,091,810,291,273,067,119,176,896,
778,377,037,706,629,126,244,835,987,244,277,527,049,412,674,970,688,498,445,
944,884,508,428,941,677,306,594,431,639,978,568,856,684,332,992,588,933,542,
109,739,785,867,631,458,309,178,442,780,309,897,584,319,665,135,678,687,362,
516,935,894,853,432,170,570,970,028,175,009,586,229,451,195,301,401,624,877,
959,595,712,037,616,688,604,760,128,071,000,154,304,145,236,052,391,774,226,
955,644,878,443,378,869,143,267,438,155,281,146,490,730,806,026,516,599,503,
608,658,746,574,545,790,022,803,215,153,841,626,829,993,593,492,185,355,799,
181,262,375,457,455,853,292,483,758,010,719,203,925,455,436,698,408,947,873,
536,600,622,998,220,298,902,924,969,367,803,723,547,705,510,548,717,173,136,
195,372,491,902,081,162,886,079,915,384,721,296,248,025,688,446,977,511,197,
515,507,940,745,886,345,630,473,187,242,968,726,429,199,342,718,566,186,382,
131,173,459,755,163,904,389,423,543,569,196,870,424,458,404,167,919,806,990,
670,146,017,649,846,940,681,612,644,629,092,974,161,873,583,674,355,073,831,
135,516,825,301,112,082,920,555,121,296,070,665,969,772,251,545,722,589,767,
625,668,193,753,959,722,969,766,293,176,528,466,590,666,916,939,680,975,926,
880,806,275,895,751,713,613,711,204,629,305,758,683,787,143,700,207,536,594,
086,170,500,289,721,264,144,887,240,962,628,143,599,170,697,529,148,463,106,
527,418,100,522,308,459,868,187,742,159,765,542,931,764,344,734,397,504,046,
612,397,112,269,076,030,103,337,309,912,513,824,327,727,126,305,229,294,611,
467,391,140,872,862,612,215,818,498,400,576,394,352,383,950,780,489,653,158,
021,275,755,433,840,646,565,328,260,576,374,282,605,177,052,456,808,651,540,
311,759,843,776,513,291,951,698,925,833,813,105,515,669,025,486,659,549,348,
648,634,886,598,982,973,240,052,169,133,060,116,938,026,770,040,517,427,845,
776,284,429,632,044,999,787,221,912,128,576,514,701,455,365,440,900,585,253,
726,919,953,663,725,582,799,615,497,157,714,218,229,323,221,419,396,950,535,
458,889,454,585,402,143,034,511,993,410,423,931,405,673,591,457,194,030,211,
515,747,136,019,209,750,594,914,157,250,529,126,123,611,244,713,017,771,957,
479,507,566,316,443,206,259,097,947,624,200,858,473,437,262,547,588,428,276,
131,902,543,536,060,301,153,199,693,777,858,959,564,347,999,634,522,636,007,
579,456,540,999,128,146,027,043,313,911,019,159,453,270,791,350,095,696,152,
070,469,700,610,072,735,859,983,766,406,994,172,487,520,768,821,796,799,642,
691,837,327,329,536,261,417,033,995,648,139,092,137,819,627,299,461,826,375,
807,028,932,183,873,866,570,950,447,619,232,968,806,398,839,628,904,200,007,
703,951,582,429,921,923,941,647,643,377,246,484,742,535,238,509,906,760,157,
686,433,324,206,384,803,324,102,004,327,297,447,693,810,035,222,009,974,460,
622,585,903,388,400,261,115,885,903,231,471,095,899,510,287,588,470,699,316,
441,819,573,441,547,451,462,160,703,330,444,408,066,681,636,034,516,948,262,
688,326,950,792,860,457,015,223,038,273,574,170,851,856,403,260,147,369,341,
213,372,718,733,288,611,610,724,933,013,859,425,962,346,575,528,409,419,999,
903,814,033,695,661,725,698,847,313,789,124,980,647,932,782,962,767,879,996,
404,160,044,757,473,469,298,423,190,486,417,918,257,054,802,455,721,326,537,
874,138,496,726,137,080,257,056,104,673,534,857,214,660,098,188,669,741,097,
874,150,716,189,019,898,889,593,939,625,353,572,479,453,996,002,687,139,846,
391,694,738,898,503,911,376,617,611,501,897,267,389,849,375,792,721,927,711,
893,269,941,911,231,570,667,830,911,808,626,843,308,192,609,371,603,880,663,
215,830,583,084,867,379,968,624,204,587,141,080,084,919,074,874,814,066,669,
503,012,694,517,648,660,308,146,446,674,338,261,994,548,859,527,039,030,705,
406,782,174,730,991,243,048,684,544,750,395,082,433,008,742,626,190,607,687,
780,924,796,550,073,775,889,970,212,876,796,250,650,950,451,045,125,866,145,
213,673,850,869,588,385,356,188,853,200,158,914,382,211,156,610,642,837,656,
164,780,902,055,037,635,550,528,179,358,297,721,975,938,701,225,789,423,271,
163,858,575,911,840,825,587,859,259,014,840,125,391,688,335,089,960,735,653,
964,093,368,577,904,138,720,112,226,785,611,801,910,495,510,144,376,449,951,
078,494,743,505,426,378,336,636,648,138,752,215,126,146,677,867,253,184,824,
845,561,525,929,391,690,558,281,987,212,832,808,473,936,436,882,947,957,922,
746,883,199,645,629,433,504,985,982,743,823,107,859,334,785,611,545,337,753,
574,189,177,156,566,391,995,026,407,867,197,956,688,339,869,140,304,569,896,
425,550,631,311,698,172,166,047,550,019,308,456,922,672,532,413,787,593,383,
048,313,878,108,120,982,327,804,285,165,122,107,062,211,476,845,501,450,802,
072,867,393,120,242,421,311,165,008,190,497,521,830,690,963,211,510,414,160,
200,733,509,035,205,260,753,786,971,270,148,430,016,580,312,351,035,993,090,
390,715,930,770,804,924,962,144,149,619,658,173,398,647,618,245,113,255,160,
344,867,216,926,714,890,995,140,070,019,511,900,845,197,876,267,196,050,871,
352,781,935,620,930,808,266,137,460,773,618,005,324,519,392,986,236,695,751,
867,236,102,697,795,886,947,115,037,568,367,009,877,609,493,950,977,113,044,
213,310,718,077,831,869,799,423,303,546,254,903,107,778,587,043,848,659,750,
988,532,510,920,203,110,378,282,652,794,116,345,469,104,733,134,970,462,392,
979,585,010,619,197,535,844,706,097,600,503,564,820,724,423,720,556,113,356,
444,707,056,962,936,032,934,903,145,460,179,700,371,502,056,854,512,216,116,
241,189,666,059,614,728,730,779,885,559,395,228,071,713,884,256,372,955,258,
805,917,941,406,369,368,604,710,236,447,810,808,888,918,912,340,277,672,488,
860,051,682,238,575,908,107,336,516,057,252,056,786,840,794,380,734,840,762,
002,374,405,420,660,503,345,724,046,734,855,811,861,133,037,649,231,203,276,
361,450,798,637,039,185,536,911,329,041,121,539,797,977,088,654,966,202,211,
129,850,726,637,003,095,069,579,430,963,655,837,747,485,253,707,081,328,451,
785,322,377,609,270,307,207,932,101,259,918,932,181,443,172,439,636,697,489,
970,944,675,908,926,291,453,270,264,772,300,048,455,994,172,283,676,391,313,
461,522,589,635,948,946,184,214,633,359,554,796,055,631,546,624,022,097,980,
351,324,636,813,063,700,508,131,215,298,900,339,385,330,050,816,239,734,123,
759,038,734,351,179,335,227,769,682,414,014,463,768,833,869,006,779,518,492,
250,340,766,512,989,039,068,298,008,023,582,965,674,179,792,433,342,567,310,
909,749,408,379,591,391,463,106,563,329,817,633,645,110,113,145,864,493,337,
150,787,624,409,490,956,257,331,063,137,240,884,330,107,462,143,461,713,467,
088,623,479,909,393,404,446,734,930,214,745,061,400,025,549,407,709,928,762,
662,708,647,337,920,897,449,034,181,448,478,630,892,687,036,409,778,426,869,
313,844,193,698,538,734,356,210,956,459,526,293,696,267,841,639,742,815,542,
741,624,648,828,421,913,641,066,247,991,232,037,339,996,686,396,042,124,577,
807,630,471,292,517,871,506,976,288,165,968,282,758,456,663,219,940,035,780,
432,688,043,513,471,470,335,624,038,050,573,613,141,390,146,784,775,784,874,
093,876,763,634,599,274,108,390,063,407,514,558,684,272,875,100,186,598,030,
100,598,802,879,347,244,501,092,523,825,253,671,519,553,796,556,526,278,473,
726,497,944,347,720,622,467,314,984,748,489,793,899,938,273,503,788,865,366,
647,802,377,423,016,799,403,180,258,979,881,822,176,943,583,766,432,949,885,
242,778,469,853,808,666,037,591,568,926,919,589,707,636,468,832,332,064,110,
972,649,378,614,581,194,211,614,006,336,922,265,322,551,007,149,690,634,410,
465,786,887,237,851,356,789,006,037,159,489,826,293,226,041,771,498,164,387,
562,722,826,892,778,548,048,511,479,769,299,359,594,782,181,309,173,534,774,
297,534,909,527,752,462,649,175,106,160,721,361,273,579,801,268,741,428,843,
512,269,221,821,715,404,511,661,867,873,189,257,188,193,996,167,037,699,725,
172,335,866,742,663,039,005,316,501,649,113,281,370,664,672,061,741,683,714,
491,799,186,591,297,412,215,420,731,538,745,074,613,187,279,642,303,421,133,
905,609,069,605,703,847,229,388,326,522,680,654,054,208,540,068,766,784,665,
655,695,549,322,606,634,486,559,413,961,965,931,944,750,147,039,898,479,431,
917,325,637,918,066,464,600,225,227,863,406,539,318,143,924,979,244,848,471,
462,163,750,324,505,327,098,316,863,258,189,627,827,459,427,069,207,098,479,
020,209,545,302,012,378,459,770,016,665,339,343,764,423,400,398,737,486,652,
471,465,279,473,726,239,547,387,910,548,019,905,280,375,815,773,794,401,612,
169,912,111,367,332,602,320,490,982,650,459,372,525,835,752,087,020,877,923,
236,244,492,654,306,919,582,589,130,210,190,284,969,545,869,178,964,752,450,
851,066,949,072,788,834,611,236,032,476,104,598,327,601,251,254,318,455,143,
096,246,650,859,217,459,222,371,976,298,487,100,776,192,356,707,881,739,165,
196,866,859,769,849,694,226,783,266,825,514,923,625,610,370,236,592,383,722,
778,615,860,314,864,346,359,233,830,123,352,062,859,142,543,427,582,146,014,
199,986,969,834,417,574,001,058,058,772,635,974,529,237,124,096,453,707,643,
723,058,209,983,185,488,239,013,775,577,755,173,378,267,773,358,741,553,297,
345,964,128,340,395,986,950,680,366,696,941,309,780,540,633,182,611,093,016,
921,216,892,484,095,522,794,718,584,880,444,408,587,448,008,647,681,442,906,
496,476,889,240,239,853,666,625,642,011,029,478,043,307,028,369,656,648,936,
444,330,478,406,667,848,740,091,788,423,029,181,471,822,952,340,068,329,686,
595,299,722,955,238,019,125,664,259,004,650,423,858,277,374,208,999,314,013,
283,669,075,988,866,282,869,233,031,114,656,154,384,899,958,030,024,559,852,
758,021,187,954,773,028,758,427,036,144,096,841,626,786,938,603,803,397,888,
539,379,407,238,415,814,163,488,672,641,313,806,087,775,596,481,901,390,871,
260,386,938,290,849,361,952,094,103,786,064,205,605,498,318,299,627,709,110,
097,003,974,333,101,259,740,470,362,826,959,317,888,363,019,869,853,603,527,
931,596,558,263,947,181,134,371,137,909,787,107,783,865,826,147,324,814,338,
350,824,604,439,830,116,967,941,765,904,233,159,769,827,373,008,189,608,264,
756,947,842,331,748,043,052,242,152,389,415,455,730,127,781,240,644,248,841,
527,555,253,825,083,347,544,494,505,683,739,188,390,097,722,431,612,013,567,
347,670,877,336,893,671,840,722,907,965,888,595,939,121,610,634,698,959,255,
646,234,482,401,426,504,965,883,771,596,360,572,343,019,451,159,930,848,932,
078,441,941,453,658,227,836,942,750,062,413,692,115,651,347,205,934,236,286,
615,211,975,555,179,278,601,350,342,277,241,822,676,642,141,656,868,747,520,
470,390,382,275,976,222,708,534,955,462,261,191,788,175,188,151,779,371,664,
409,597,587,847,333,136,789,799,101,316,398,331,090,771,374,557,182,741,554,
180,490,741,554,779,311,833,374,395,237,082,774,616,694,618,692,482,110,325,
858,337,205,983,522,946,788,841,413,868,528,213,574,605,973,124,293,362,740,
084,631,544,879,449,990,884,683,242,277,917,333,424,874,895,297,290,154,162,
959,434,571,433,185,215,553,180,729,293,760,131,613,853,801,580,719,359,239,
423,805,336,968,014,045,914,821,390,005,789,349,026,353,215,714,141,346,104,
288,141,127,413,127,523,666,721,672,341,874,924,730,056,061,517,531,098,176,
128,329,272,702,358,255,029,300,237,386,643,232,919,081,770,590,438,169,872,
123,087,834,469,386,855,141,839,183,606,049,483,117,673,961,570,745,480,767,
989,594,192,638,969,498,691,503,649,877,201,389,054,254,356,763,125,834,081,
179,582,309,816,118,193,017,511,813,082,838,578,325,268,469,015,883,825,017,
442,669,804,388,549,090,018,642,372,523,617,956,584,020,273,683,698,370,896,
089,418,134,097,748,616,416,992,156,110,279,984,395,519,151,240,628,590,704,
857,551,827,465,221,185,939,672,309,955,392,359,099,037,548,900,545,380,403,
420,454,306,314,888,280,297,375,484,911,909,790,720,489,749,747,245,489,467,
017,714,162,361,542,185,572,655,945,354,471,117,338,325,510,104,046,051,386,
008,924,853,951,937,907,878,317,858,610,155,054,086,794,842,767,309,346,293,
405,664,229,175,703,503,595,404,997,826,253,300,322,174,804,290,329,066,627,
658,513,359,523,123,897,254,567,194,156,909,983,773,794,139,399,118,143,528,
962,960,612,175,613,245,858,492,542,045,853,122,281,590,686,294,746,732,175,
122,224,960,347,853,629,485,642,942,051,605,064,460,877,398,412,963,031,677,
110,822,151,866,380,508,231,501,417,732,376,958,436,867,946,523,172,379,784,
344,571,520,521,332,753,779,305,210,772,568,353,949,215,687,584,053,678,599,
353,311,964,658,422,646,604,195,845,544,573,608,974,801,448,684,012,429,227,
118,110,091,930,844,171,026,230,699,661,939,387,370,608,226,774,083,890,618,
889,557,503,040,527,443,914,968,117,243,570,388,583,596,658,937,491,820,173,
669,285,882,940,524,376,531,825,673,550,411,019,064,123,360,954,615,742,858,
951,628,944,646,584,047,175,854,186,138,477,208,548,615,863,043,991,837,956,
655,789,384,751,274,751,189,727,244,190,242,591,712,390,811,190,799,879,885,
094,892,531,564,033,369,091,840,440,867,575,367,323,587,582,439,789,165,445,
910,822,485,097,968,036,223,298,067,310,390,113,877,192,781,248,251,737,600,
334,396,327,865,071,441,283,694,025,647,758,622,007,069,207,642,740,203,230,
864,497,046,852,891,192,487,117,304,229,354,932,076,995,889,306,873,294,391,
827,469,401,018,925,061,152,629,658,034,771,668,244,315,416,899,263,254,736,
318,080,932,743,717,973,658,958,254,651,690,109,527,007,500,586,652,745,079,
378,420,701,710,281,536,528,727,811,409,640,768,995,154,853,439,757,827,241,
869,750,394,768,007,558,038,743,288,996,313,143,600,289,458,799,603,537,396,
925,108,660,469,935,947,744,509,636,208,225,682,070,426,857,504,271,659,831,
910,985,015,047,696,885,272,593,977,627,796,252,536,783,284,331,511,454,612,
044,968,096,554,165,894,100,017,330,075,141,543,258,073,682,797,141,395,334,
500,410,585,865,339,776,969,720,783,607,832,790,174,388,854,575,687,181,098,
914,250,262,047,826,875,687,280,963,931,749,368,031,091,493,661,302,196,715,
990,266,643,073,833,253,125,327,140,217,074,670,642,392,917,776,009,011,162,
620,722,677,919,856,800,192,420,280,758,151,825,720,736,589,833,175,442,812,
040,129,807,873,830,661,100,904,749,589,674,229,300,836,280,642,131,856,037,
583,741,248,298,261,596,529,515,548,442,003,243,156,404,489,008,923,252,490,
414,250,903,728,203,053,434,814,411,377,331,522,502,368,117,093,046,302,646,
384,520,736,391,282,072,368,026,905,120,431,550,772,405,458,260,275,848,971,
327,465,481,464,047,314,935,344,493,965,710,536,910,562,323,057,289,452,426,
008,556,079,925,242,218,594,178,665,097,297,470,582,223,765,347,733,776,253,
088,520,587,548,644,293,399,251,701,122,936,204,422,670,009,641,408,364,600,
924,911,019,156,371,944,746,723,079,792,324,435,121,268,877,598,361,539,193,
281,843,508,154,520,981,891,558,247,583,449,118,597,187,699,729,994,497,554,
261,992,628,018,922,539,670,577,424,317,557,182,756,849,188,210,408,178,866,
584,931,162,924,447,886,358,021,796,014,553,794,194,154,970,169,838,811,550,
602,027,745,910,898,550,837,663,649,017,638,506,324,507,165,134,439,336,969,
209,924,886,443,084,905,828,130,546,027,851,040,585,566,238,041,853,897,827,
384,648,104,451,360,763,252,958,860,637,091,149,005,198,476,409,160,643,450,
895,994,243,838,432,097,960,404,410,950,721,088,221,355,017,641,796,281,538,
178,931,918,212,557,672,575,338,944,551,479,519,862,138,535,758,253,813,261,
716,972,383,512,434,906,749,706,661,629,787,291,675,174,986,723,007,808,532,
626,644,215,600,833,101,680,217,471,719,604,820,596,995,162,783,646,695,059,
754,395,149,537,476,340,182,847,245,186,970,267,409,677,323,244,054,114,528,
073,327,264,101,538,822,086,047,621,553,976,227,640,715,880,030,861,934,768,
435,263,401,943,079,982,480,471,756,992,632,432,992,151,449,672,184,115,311,
600,366,806,088,919,107,542,265,052,600,064,889,578,724,071,209,297,490,892,
969,562,291,597,858,069,012,491,434,111,903,493,891,416,266,764,327,835,672,
495,421,668,222,377,157,851,979,522,385,403,010,102,778,006,994,350,049,730,
220,617,171,294,576,859,418,881,747,577,562,486,621,139,275,893,374,310,014,
269,364,395,471,506,210,309,974,938,388,761,939,772,537,801,657,116,049,912,
335,185,011,303,066,589,449,607,521,436,951,504,522,027,577,160,762,449,886,
689,175,631,651,007,414,523,017,424,259,636,102,396,898,013,004,441,156,181,
040,144,583,841,778,140,750,251,774,576,616,146,454,922,819,092,618,874,110,
262,376,209,420,540,581,721,293,752,436,425,560,032,607,918,980,952,437,201,
569,737,914,261,521,527,812,907,126,879,502,659,727,975,902,603,214,182,050,
330,000,192,733,116,786,481,751,107,834,730,117,807,078,071,945,287,038,698,
769,188,991,569,475,649,429,176,983,519,591,625,986,838,616,522,590,208,955,
340,506,941,987,618,113,699,370,453,669,640,781,325,101,691,847,643,778,888,
324,693,962,346,598,522,185,746,432,498,314,789,028,285,030,844,549,686,203,
383,014,595,869,824,641,044,937,051,412,702,512,883,482,902,118,805,445,632,
139,517,276,520,058,842,929,422,923,946,744,898,169,914,510,297,278,028,105,
605,620,840,952,127,759,525,332,828,696,151,792,356,698,689,305,164,732,347,
327,917,116,803,808,032,927,965,525,334,402,029,938,808,372,055,139,736,309,
715,369,433,609,542,188,364,753,574,936,212,626,329,563,840,753,221,465,883,
462,960,714,823,491,306,408,168,595,989,412,650,227,723,158,430,069,369,708,
630,432,901,883,482,542,682,072,009,661,965,677,908,126,483,806,044,811,364,
437,341,568,261,749,843,622,027,973,805,348,786,723,459,030,891,372,428,706,
026,318,475,694,608,748,618,303,385,722,738,633,820,959,455,635,294,537,423,
916,993,966,191,034,720,989,691,143,549,261,096,467,345,952,297,933,224,782,
091,894,414,979,691,164,051,344,532,812,157,879,670,488,941,783,022,383,254,
363,093,061,100,143,462,615,794,103,869,603,818,176,098,941,775,068,500,385,
752,975,529,294,467,056,818,587,761,836,518,584,810,115,358,298,016,035,515,
981,710,193,492,415,961,962,364,857,499,001,336,369,027,425,404,806,569,103,
167,819,717,860,360,353,716,365,215,406,874,469,523,081,540,459,974,048,728,
471,949,391,758,997,561,762,672,838,137,982,862,324,491,047,333,833,892,717,
328,441,570,269,934,458,633,299,116,347,059,080,609,259,831,498,609,468,031,
646,415,992,020,763,816,837,215,132,731,066,682,691,106,714,855,178,030,620,
430,895,806,820,490,298,723,083,648,431,963,299,716,708,135,167,345,356,373,
612,783,039,201,664,733,734,220,392,214,083,533,403,257,319,742,394,827,977,
639,489,938,398,468,243,589,629,942,152,318,466,625,752,041,753,608,713,641,
126,156,650,646,665,516,169,368,429,408,943,568,919,592,889,255,617,882,545,
270,015,332,349,482,925,373,406,665,509,828,807,569,456,567,832,617,402,066,
180,540,210,860,552,466,080,186,868,085,926,007,893,483,308,845,010,860,271,
436,875,799,735,404,010,305,764,211,387,557,003,440,252,511,562,959,734,739,
531,131,428,652,541,088,272,173,707,491,299,355,444,539,867,663,011,785,710,
455,443,171,869,380,601,481,582,665,772,104,011,499,847,484,726,814,500,835,
858,984,932,831,326,597,064,011,044,541,871,060,916,535,498,270,753,541,787,
933,222,872,282,151,484,035,695,812,091,462,103,190,687,987,803,043,955,229,
279,744,867,614,666,921,337,327,307,352,260,148,464,987,039,967,403,340,199,
270,734,198,790,112,863,527,390,714,823,566,157,707,367,090,837,700,163,367,
813,099,357,923,355,428,336,963,452,968,785,462,472,140,816,915,043,110,397,
874,886,627,203,830,133,242,591,403,936,961,861,561,103,827,766,642,995,373,
244,694,397,797,967,815,807,450,693,139,188,645,880,774,796,309,699,146,453,
374,899,043,347,562,767,973,153,516,274,664,465,815,198,552,545,608,093,284,
939,188,677,596,209,351,078,409,651,834,816,539,114,380,093,334,487,388,171,
291,930,054,679,670,376,303,801,580,365,856,456,107,342,907,581,312,100,687,
905,428,939,213,269,681,481,025,850,716,118,114,068,289,377,753,738,287,557,
832,996,056,200,023,285,691,345,957,431,847,909,098,741,435,973,854,478,128,
146,946,637,812,488,518,453,402,482,534,286,093,603,577,915,056,789,678,295,
024,567,871,268,189,588,880,683,165,857,369,222,306,568,165,406,927,732,849,
326,556,715,924,987,176,786,550,672,645,776,828,423,796,819,232,125,410,128,
347,316,382,514,985,167,306,176,340,244,001,481,562,549,047,332,412,614,215,
587,337,312,683,212,953,609,021,077,538,822,306,792,231,506,656,781,360,420,
192,191,108,624,768,434,406,711,804,119,993,044,152,490,642,944,801,451,757,
357,204,995,724,709,794,051,291,684,983,627,067,117,099,285,751,278,522,032,
596,125,704,899,740,502,885,130,414,853,550,474,755,863,316,467,295,076,468,
214,044,587,101,952,713,807,994,747,124,171,354,302,995,911,159,709,460,467,
461,539,069,835,987,873,285,649,449,181,608,310,028,894,793,400,489,723,233,
330,697,248,138,071,935,698,981,210,946,837,422,816,222,585,264,981,681,604,
693,902,372,417,450,129,628,128,210,283,720,212,718,364,129,321,916,397,041,
913,873,055,785,429,331,445,361,386,145,423,119,768,516,310,333,487,297,238,
078,928,045,256,877,979,883,616,997,024,199,288,345,138,483,823,855,548,424,
339,244,833,714,422,558,584,621,530,218,156,125,030,044,875,507,317,087,515,
531,043,996,917,443,253,265,720,292,501,395,108,387,434,240,929,877,607,626,
891,339,336,241,849,329,209,168,361,984,125,754,646,207,446,871,003,465,172,
163,403,713,220,386,264,395,838,373,886,264,993,429,980,093,295,983,446,432,
258,091,744,066,692,499,908,760,041,979,553,523,707,662,647,566,683,940,930,
651,691,068,686,632,993,109,302,571,520,590,427,951,161,434,879,877,416,890,
555,870,666,780,006,925,740,774,702,534,265,706,308,312,428,315,864,742,620,
077,170,082,269,647,431,035,361,635,360,804,133,843,890,428,413,696,435,002,
338,651,614,644,025,229,476,261,728,230,439,846,784,837,375,302,676,684,931,
907,378,003,554,295,187,595,020,344,169,094,176,859,959,942,133,235,466,712,
223,952,282,689,750,642,951,803,033,833,229,628,771,214,182,260,031,795,126,
155,683,464,307,141,296,812,278,662,505,040,688,134,949,898,813,911,952,543,
103,539,661,374,491,162,518,879,231,319,851,862,524,719,962,906,016,070,686,
674,896,989,735,391,915,841,643,111,666,418,586,208,445,602,572,433,250,865,
988,557,135,310,111,109,992,748,277,262,942,259,205,096,595,779,350,862,388,
742,198,954,984,601,623,361,647,342,922,789,460,209,111,517,110,583,568,444,
231,009,032,611,994,190,619,774,343,750,752,544,830,146,388,406,325,432,859,
323,182,112,488,904,547,678,428,189,268,350,772,787,103,141,087,183,268,855,
571,804,544,574,484,037,506,200,166,280,727,318,327,518,579,819,400,134,628,
122,105,662,455,112,668,223,016,965,738,184,586,851,468,972,504,993,808,678,
401,148,637,198,925,994,996,439,349,353,664,773,894,136,756,585,640,545,999,
089,362,458,492,857,193,385,359,293,939,547,481,057,753,091,411,504,017,343,
310,379,532,807,177,775,766,134,962,596,358,296,301,974,545,969,671,938,699,
127,307,054,414,161,771,887,973,528,821,912,585,099,574,169,747,674,074,680,
234,490,899,126,022,155,624,656,253,173,483,608,554,794,755,523,195,088,590,
386,923,216,664,091,969,428,472,292,980,167,164,786,895,230,609,452,614,605,
376,199,218,652,330,932,044,099,077,343,326,979,778,646,017,354,801,765,616,
835,258,181,082,394,564,106,766,135,236,594,672,304,543,638,754,710,563,021,
340,626,415,481,279,751,126,306,049,139,939,208,853,325,343,291,612,695,063,
836,267,063,795,740,374,018,070,186,109,712,615,073,833,353,919,300,640,504,
852,392,382,018,237,290,580,929,353,949,708,230,079,405,616,672,120,195,170,
011,294,341,435,609,925,043,044,388,606,355,965,439,318,068,592,755,067,496,
799,685,500,494,317,094,994,622,442,358,491,258,082,652,688,007,639,220,629,
715,797,002,345,530,812,426,945,304,035,500,667,671,017,443,627,586,906,441,
733,031,737,089,702,272,212,162,961,537,402,993,875,280,176,801,699,047,708,
745,310,315,920,334,385,470,463,962,094,783,327,245,288,768,674,425,365,547,
700,376,814,119,216,640,495,365,367,109,979,027,864,692,249,781,759,204,658,
397,110,251,099,370,627,793,780,028,469,153,678,513,957,820,018,263,625,161,
669,107,295,077,986,241,917,478,736,825,234,124,884,917,558,100,164,249,447,
134,965,972,954,623,492,115,529,432,055,465,372,230,437,722,080,695,335,071,
928,784,162,699,641,167,569,890,277,364,595,610,783,871,874,957,621,468,516,
810,315,965,921,588,542,011,894,958,017,494,064,475,545,571,184,162,296,472,
006,565,845,147,244,133,324,892,708,692,201,659,761,472,609,023,727,827,053,
435,985,094,038,242,688,625,833,178,454,777,765,485,483,146,239,336,791,249,
281,838,306,194,345,498,882,919,133,377,754,754,035,896,020,197,764,614,167,
615,758,945,450,200,358,251,386,125,836,336,113,026,880,771,897,708,135,439,
650,722,924,745,995,431,238,166,907,902,590,758,831,601,680,367,159,989,616,
439,357,230,189,193,526,930,278,386,919,712,069,893,926,592,594,313,920,859,
430,488,099,906,802,633,383,930,388,878,798,991,165,791,280,336,336,035,751,
320,488,739,429,096,326,152,110,224,360,912,510,373,940,306,771,322,760,478,
615,527,929,605,592,235,089,878,273,399,816,530,919,804,022,527,120,372,629,
377,705,507,672,978,824,756,415,106,171,013,790,657,930,169,610,202,092,397,
899,758,688,085,454,198,268,944,289,887,794,549,399,424,042,690,715,579,776,
833,247,092,907,025,807,691,004,945,927,114,464,581,441,511,606,761,101,491,
927,248,292,531,847,566,541,680,106,265,418,090,630,122,415,078,245,046,877,
341,819,244,894,902,512,722,437,787,491,481,360,794,410,128,768,509,390,488,
869,045,283,640,894,736,032,303,747,938,143,827,192,964,812,746,678,140,005,
903,904,857,675,721,174,829,272,873,426,915,135,267,364,399,492,746,550,134,
666,546,132,910,413,081,741,507,968,999,724,353,633,476,156,932,314,154,899,
704,680,059,413,101,871,174,688,407,569,099,508,291,464,136,490,068,793,655,
069,336,586,744,767,345,452,470,171,863,466,183,153,354,708,345,197,513,150,
391,301,474,086,195,126,241,500,851,793,053,617,270,295,017,564,011,244,560,
820,911,102,168,531,264,810,237,386,340,994,455,156,830,859,944,540,868,692,
337,573,107,295,413,935,411,436,650,245,053,283,058,198,594,432,034,881,212,
443,202,329,752,919,311,187,924,070,181,350,263,686,140,301,271,344,795,427,
537,189,807,182,840,294,512,510,884,168,150,725,058,552,912,799,347,217,672,
834,509,616,115,972,131,764,905,910,445,845,745,841,157,572,290,741,732,113,
839,457,863,527,921,711,510,820,631,075,053,871,717,710,397,670,634,567,001,
482,641,514,988,857,171,853,334,113,462,071,729,741,650,869,182,315,317,762,
001,450,338,805,718,083,393,432,804,714,493,664,815,309,958,603,774,714,142,
804,444,292,608,960,645,397,352,720,419,817,667,093,281,204,305,485,040,066,
008,749,697,609,982,403,047,105,359,388,925,572,731,239,124,151,892,052,646,
822,092,100,010,908,075,321,615,510,098,882,162,347,941,673,046,706,864,818,
612,463,641,979,190,847,648,033,795,581,132,253,293,342,562,556,916,991,061,
609,182,241,613,409,111,875,427,188,450,624,002,715,762,785,005,271,499,900,
243,168,410,471,277,011,207,441,700,906,631,676,275,555,367,264,725,952,856,
595,593,092,032,996,113,404,334,204,480,579,484,705,749,590,411,989,478,495,
037,289,819,973,952,165,479,898,395,246,027,014,263,268,570,884,698,285,201,
007,855,619,141,248,746,729,649,328,078,703,172,305,061,488,907,799,118,865,
852,936,887,123,188,708,876,585,879,305,348,351,210,889,262,248,861,735,454,
913,259,064,128,443,461,970,070,135,327,321,897,584,341,281,747,595,233,877,
138,214,148,853,777,909,114,674,814,219,748,585,387,634,943,215,059,163,028,
016,358,190,609,085,161,458,283,997,088,206,862,814,914,319,424,581,524,755,
137,906,565,813,840,375,835,304,045,368,456,756,835,803,495,540,427,999,600,
267,153,162,648,107,394,953,621,647,533,951,672,763,236,499,437,772,432,277,
665,845,773,314,583,181,827,712,076,739,343,907,224,874,846,768,612,586,719,
596,926,690,509,965,782,444,005,816,224,339,894,788,937,672,423,730,468,065,
491,366,036,705,359,689,757,058,081,051,612,708,324,363,135,727,668,884,227,
331,430,292,982,904,769,711,553,946,659,220,342,898,724,445,357,274,136,660,
433,137,728,119,222,331,085,353,289,679,619,986,517,699,407,324,714,546,720,
854,217,594,561,835,486,745,313,218,519,817,214,265,351,180,458,399,362,945,
310,116,703,850,698,524,881,586,642,803,295,826,707,297,993,573,934,609,507,
975,270,635,043,193,230,732,414,325,538,480,943,415,025,929,106,696,744,166,
484,993,193,742,989,182,264,509,131,119,637,755,662,095,758,157,000,057,540,
828,963,525,779,612,309,091,644,644,702,922,024,011,997,992,030,777,606,838,
273,875,666,593,912,522,870,204,549,846,137,231,974,112,148,696,427,391,344,
520,815,713,567,330,159,064,839,133,933,403,454,507,557,072,228,761,306,550,
249,142,348,320,324,282,596,511,050,629,123,771,027,227,776,188,395,294,132,
433,524,992,830,538,125,242,177,696,360,534,447,695,524,283,166,438,250,173,
015,820,394,840,405,846,771,908,753,401,224,077,378,861,259,472,477,497,843,
749,595,118,998,760,170,608,627,702,538,680,175,220,357,476,243,095,500,984,
700,663,675,475,770,842,918,605,983,675,490,410,212,336,024,498,743,534,205,
050,958,903,020,276,414,558,825,855,902,776,261,038,084,572,019,104,645,613,
492,656,511,742,210,293,023,404,554,504,169,055,051,237,518,387,873,166,913,
722,057,900,205,666,710,888,399,839,060,228,150,587,572,937,371,609,664,306,
166,279,528,547,523,741,838,373,611,573,767,875,912,223,030,028,724,148,812,
062,956,280,681,491,744,461,804,786,688,727,122,468,888,914,297,739,588,963,
041,437,414,356,119,114,705,099,914,612,880,485,427,315,201,035,965,320,994,
222,958,044,054,505,167,831,247,188,053,690,939,317,717,768,513,194,511,064,
343,464,943,192,906,847,940,941,926,176,343,321,813,103,307,077,892,689,589,
786,356,748,327,212,958,573,314,640,017,296,275,894,150,818,022,384,771,360,
856,881,973,657,227,051,046,890,834,368,116,887,693,979,671,327,635,773,874,
060,553,139,334,060,119,177,604,328,419,096,633,799,471,790,960,377,945,582,
091,046,476,565,273,796,050,029,111,558,849,850,499,859,837,928,566,501,150,
008,354,141,281,950,499,821,342,334,626,109,720,188,471,399,988,012,175,282,
997,506,611,045,501,746,030,679,248,863,962,507,070,536,065,208,759,847,054,
857,635,817,312,055,966,134,729,394,964,308,208,719,766,227,316,866,751,720,
089,617,279,712,416,959,605,958,921,778,411,469,082,407,217,159,680,389,799,
399,977,967,390,749,714,625,887,544,669,235,973,075,356,337,372,205,054,636,
875,814,578,522,684,554,905,704,940,260,389,330,431,496,095,823,115,143,891,
966,818,067,511,226,494,552,213,923,259,321,094,615,400,966,346,357,708,944,
156,280,910,659,548,591,537,130,277,138,543,690,045,629,626,158,230,265,548,
148,214,371,168,699,429,378,193,374,172,654,740,574,705,904,586,106,869,890,
341,490,181,718,506,361,075,618,960,434,234,773,991,905,186,465,192,206,012,
092,425,527,680,446,029,620,482,917,490,766,212,258,741,115,091,276,123,954,
341,625,426,773,830,543,686,767,643,386,215,868,429,561,407,640,468,348,221,
244,487,117,534,722,041,317,494,538,299,500,071,927,197,534,225,273,478,954,
946,388,835,715,635,570,506,780,784,193,500,859,940,855,251,134,255,827,950,
923,543,961,851,276,583,102,530,761,317,179,181,318,375,202,091,182,375,355,
959,655,144,017,915,189,720,673,790,776,219,331,745,093,076,041,713,507,686,
058,680,321,792,193,782,427,357,957,670,870,875,777,875,775,135,421,329,479,
301,199,195,478,211,515,465,365,713,760,435,555,230,953,507,320,534,856,001,
926,987,634,424,158,849,356,077,634,152,147,366,612,945,703,296,133,224,321,
467,201,153,060,899,982,089,673,662,069,578,267,065,827,097,825,396,237,476,
424,282,401,712,494,957,468,964,771,917,560,095,274,267,643,243,255,535,338,
101,794,901,086,053,112,777,955,533,151,270,782,672,387,012,340,147,917,008,
656,459,922,555,654,245,925,574,071,922,291,404,044,657,969,438,992,271,233,
987,746,423,452,425,684,574,040,318,487,196,099,743,214,726,029,108,184,454,
469,183,342,082,779,302,697,946,486,039,687,033,650,470,810,877,323,044,086,
685,368,768,958,905,430,662,299,069,174,127,440,905,872,083,119,355,234,111,
510,117,699,390,968,254,974,598,431,917,386,821,464,053,795,684,883,816,659,
988,960,087,436,633,616,925,363,218,265,664,555,426,648,051,970,774,660,411,
338,557,282,876,153,597,534,500,593,668,069,532,375,357,736,939,792,421,112,
494,959,756,224,302,790,968,468,280,038,220,651,718,794,203,721,847,933,472,
550,226,823,932,354,973,537,263,961,509,925,445,900,362,041,531,627,186,715,
999,616,499,403,763,779,002,862,106,587,665,244,718,756,699,362,760,294,102,
105,909,424,350,351,796,730,969,347,524,368,310,144,116,379,092,483,258,463,
522,524,905,070,727,667,470,557,739,159,429,817,859,002,061,033,486,489,315,
155,277,424,189,179,934,533,056,810,659,684,623,383,024,182,340,193,462,443,
719,270,697,677,812,605,905,542,905,255,015,645,375,774,580,931,619,744,003,
949,328,223,044,011,121,146,463,085,850,079,456,498,722,951,041,329,715,994,
288,390,086,474,668,400,733,344,767,657,131,687,078,887,889,926,784,758,456,
261,843,002,677,202,278,169,585,323,474,989,798,934,778,453,193,096,527,554,
520,486,060,343,303,387,974,408,586,292,730,637,398,023,943,448,552,230,820,
611,514,023,831,128,068,731,118,516,820,193,762,715,670,805,771,433,355,751,
767,776,167,223,112,469,033,541,928,406,369,178,232,908,957,206,617,564,820,
882,430,240,019,689,776,429,536,103,349,665,153,650,127,043,331,524,568,048,
600,687,392,284,655,035,872,115,656,195,325,693,074,431,989,885,322,782,431,
694,806,288,939,841,116,061,943,728,012,700,662,410,608,256,900,760,583,866,
165,422,390,606,219,987,671,733,226,301,342,624,064,897,668,349,666,710,207,
491,663,553,601,600,848,553,500,747,558,383,437,330,002,361,906,704,766,249,
902,641,731,747,134,602,768,383,109,841,827,123,783,710,238,144,529,336,277,
368,515,600,814,358,884,038,465,391,637,071,836,227,370,877,263,438,403,310,
966,750,449,307,391,849,043,030,343,546,491,678,448,855,114,951,571,835,819,
156,921,590,405,775,650,143,222,676,432,986,469,605,332,184,662,004,056,154,
877,589,365,089,688,202,612,361,168,857,417,034,571,630,023,064,852,464,270,
636,442,962,149,162,416,527,830,807,048,496,912,644,871,388,855,611,553,317,
617,165,413,617,588,963,205,163,902,167,298,958,421,798,541,178,876,490,572,
877,387,266,799,411,888,291,112,849,503,955,953,633,214,862,644,578,344,006,
686,803,462,219,800,716,645,494,873,662,370,601,265,352,434,067,999,246,880,
261,776,779,243,740,740,305,134,143,115,461,290,664,511,297,492,039,335,339,
908,089,859,432,635,106,499,647,532,148,156,032,827,158,214,665,921,039,914,
219,093,798,657,867,459,292,993,020,403,815,583,528,220,339,830,147,912,316,
290,072,684,676,314,702,590,556,942,157,736,257,887,167,691,551,703,982,495,
464,585,817,482,494,751,705,736,892,416,244,757,772,525,478,882,699,575,784,
511,400,682,961,498,806,444,362,901,779,307,967,247,286,838,725,598,419,480,
771,358,592,665,995,948,009,041,150,556,260,088,107,195,987,969,903,494,580,
520,897,611,304,813,509,459,062,528,912,784,388,816,600,284,285,827,283,397,
333,454,174,269,671,792,638,316,867,352,859,276,479,458,558,064,221,754,640,
101,285,143,817,339,425,422,985,055,527,775,684,894,832,921,377,303,854,744,
780,716,246,700,731,826,617,750,368,947,399,903,439,738,266,556,101,263,489,
297,545,513,427,536,986,394,734,009,380,977,502,250,362,821,423,028,879,598,
029,252,533,156,087,371,326,770,652,834,114,849,629,480,099,999,192,331,218,
551,212,341,722,203,189,862,700,155,918,861,327,979,344,249,119,610,853,916,
879,021,360,323,450,659,498,259,471,048,253,949,596,575,678,925,756,765,322,
152,403,126,810,036,320,989,624,145,454,220,375,222,112,036,109,022,575,386,
431,087,122,967,874,690,647,237,841,480,283,437,058,094,454,484,815,402,864,
763,552,959,320,990,953,432,587,656,333,275,092,052,453,985,352,220,920,829,
364,289,227,287,848,141,736,423,688,222,185,641,630,214,450,287,348,346,219,
284,896,913,974,804,948,035,499,800,025,584,274,923,817,873,677,470,521,791,
697,132,144,795,521,843,953,600,893,738,298,389,172,905,133,895,090,484,135,
031,829,446,552,227,040,378,306,848,940,383,590,347,741,555,450,040,693,055,
967,514,106,371,730,475,572,024,858,245,507,715,006,696,278,561,091,963,994,
257,661,195,042,650,257,815,462,073,782,779,819,880,240,917,835,746,602,572,
453,101,480,115,029,900,221,332,723,351,854,165,706,722,173,434,289,692,672,
937,426,577,704,516,916,651,336,463,778,126,521,370,530,218,230,427,560,781,
606,794,426,043,764,433,077,267,888,534,128,434,614,652,847,491,182,979,795,
357,202,721,350,610,549,064,163,667,917,158,627,312,780,408,855,227,692,748,
634,939,939,931,542,612,950,407,536,420,237,540,180,802,396,864,193,687,517,
665,429,218,018,735,290,275,558,597,895,627,485,068,605,903,605,118,017,689,
760,647,624,108,847,341,318,281,952,604,593,787,310,059,412,268,694,339,041,
141,940,936,174,332,937,385,033,187,440,214,462,492,613,281,866,735,521,540,
286,615,678,340,829,911,400,712,820,692,993,795,084,327,077,001,779,228,412,
033,574,514,882,209,903,455,222,715,534,119,114,539,018,610,433,516,514,185,
931,594,608,503,279,423,719,569,684,632,031,754,828,179,024,660,462,195,996,
836,031,741,088,145,676,529,745,989,118,191,890,290,044,032,994,185,315,272,
197,937,296,152,847,251,176,807,672,226,624,072,790,398,241,761,503,105,437,
515,442,752,832,476,168,809,738,593,297,903,567,470,232,820,300,628,014,707,
969,428,041,607,850,280,030,666,227,514,654,492,874,859,940,191,484,566,633,
432,163,920,206,856,413,892,581,921,606,673,121,843,552,554,981,087,301,632,
348,233,012,530,646,842,767,288,568,789,333,244,053,263,466,184,607,163,253,
933,661,339,552,022,693,233,231,980,961,911,179,640,706,921,488,625,735,574,
458,568,215,624,753,248,201,152,323,590,557,763,097,131,066,401,377,852,018,
142,179,819,793,553,894,359,775,052,971,945,528,729,377,331,960,674,383,241,
073,373,579,268,512,533,456,916,508,903,992,429,615,058,817,671,655,885,472,
955,223,035,470,501,526,608,235,811,172,405,509,289,694,293,629,762,564,696,
170,230,577,962,001,540,859,740,108,692,654,043,275,817,601,930,080,871,514,
312,787,868,883,737,100,890,093,674,224,580,516,162,887,041,481,568,459,855,
559,270,901,259,193,926,563,491,537,224,421,576,381,065,034,624,443,640,848,
558,232,318,758,814,646,861,021,309,457,799,906,445,765,322,245,089,950,046,
897,711,557,012,672,908,075,388,654,866,176,256,949,986,919,850,274,027,910,
135,105,560,806,780,283,143,903,539,849,671,471,478,606,186,089,824,154,580,
540,601,527,178,455,628,487,749,345,812,933,040,512,113,150,182,028,200,003,
695,769,814,153,085,280,287,755,918,512,377,875,398,780,607,310,647,957,999,
306,565,256,977,814,843,554,363,632,039,527,195,745,980,609,476,999,046,325,
214,319,623,753,105,179,642,405,622,525,492,871,689,463,809,821,828,702,002,
472,999,767,657,948,663,929,077,648,418,939,455,872,858,397,665,993,166,631,
343,995,870,525,542,356,496,006,583,726,917,979,275,612,890,581,704,331,245,
811,404,399,215,823,490,413,431,613,051,043,090,486,127,530,552,462,377,027,
021,984,321,470,559,310,397,993,121,169,845,511,859,858,949,407,557,611,877,
160,568,858,411,226,838,181,528,712,991,616,925,249,621,512,336,872,820,794,
055,632,779,803,038,296,729,718,697,760,274,645,539,680,158,965,521,283,171,
313,585,883,866,385,131,730,189,923,853,425,356,073,281,796,807,114,780,866,
057,556,285,423,811,965,556,519,199,826,510,352,726,387,547,294,408,339,713,
271,486,849,466,891,217,848,320,768,439,166,000,534,432,146,913,523,517,394,
316,896,371,881,909,106,315,351,591,655,544,664,544,199,447,179,867,399,157,
954,172,736,308,537,063,073,513,070,286,889,970,392,719,660,553,764,879,360,
653,780,270,949,452,700,556,333,576,108,040,648,289,457,140,383,056,783,208,
704,223,412,968,898,842,123,830,313,487,085,630,320,868,678,332,245,487,403,
949,315,682,942,190,498,824,150,519,450,796,678,576,898,926,678,065,686,695,
619,791,082,696,592,309,982,251,585,011,400,287,070,595,806,584,632,029,636,
046,816,924,787,584,301,348,267,339,049,046,367,186,596,357,249,514,267,499,
239,982,402,428,278,754,669,270,069,499,284,754,444,140,563,384,505,465,123,
873,122,960,504,685,220,269,824,186,526,074,138,856,973,266,342,947,216,991,
020,651,223,303,375,658,694,910,383,471,569,440,478,644,684,081,819,696,140,
867,535,856,141,780,485,283,333,329,910,070,169,865,037,849,211,203,956,580,
298,001,612,292,498,603,597,949,512,562,199,218,921,900,037,837,158,658,724,
431,911,158,935,224,791,766,765,284,087,898,992,041,717,901,156,298,241,716,
749,932,851,371,124,897,688,493,103,284,314,089,329,361,519,404,612,723,561,
271,061,780,941,856,760,636,926,120,947,482,957,186,856,856,850,695,781,594,
837,752,423,884,425,192,167,416,560,417,672,240,157,937,330,786,382,429,599,
460,739,798,830,689,069,001,994,575,433,936,588,330,186,730,199,305,547,203,
679,538,017,824,221,551,847,868,637,916,086,364,554,680,774,702,327,771,329,
603,731,720,669,356,573,529,522,309,921,426,215,012,630,792,418,788,450,160,
191,165,668,835,950,485,689,290,705,276,591,920,284,084,610,352,368,301,864,
537,007,903,437,344,824,856,922,937,407,127,196,056,815,114,075,288,092,507,
039,874,919,245,684,133,085,954,103,336,227,359,096,277,598,580,492,879,678,
175,406,268,861,334,416,631,548,790,773,606,943,793,279,900,750,686,831,221,
809,371,264,793,460,042,977,311,159,188,983,293,023,847,799,981,917,084,479,
829,133,449,641,957,178,818,099,868,741,028,066,983,768,513,362,189,723,972,
866,214,188,923,179,411,648,244,255,594,261,843,717,294,645,877,700,184,463,
234,614,881,558,508,000,242,419,521,039,948,684,816,372,891,929,785,322,184,
259,139,417,487,995,514,366,101,338,103,765,919,980,238,194,933,208,775,956,
624,593,269,465,123,028,320,008,825,006,976,858,804,583,167,670,693,131,341,
508,531,634,885,134,291,591,067,024,237,298,369,054,992,336,224,640,989,050,
940,441,204,970,159,243,394,152,605,721,652,126,872,997,017,570,788,807,230,
941,783,497,124,419,099,566,406,076,128,046,026,390,735,241,570,328,175,365,
769,254,113,960,127,706,503,876,343,918,569,870,439,598,148,470,227,357,493,
356,042,540,126,959,390,557,640,685,734,149,142,863,250,861,524,545,707,389,
608,856,887,900,702,249,773,706,348,672,422,180,227,067,901,929,285,040,921,
185,980,725,351,256,324,865,507,017,957,250,415,424,765,253,411,810,249,596,
784,430,450,004,787,533,006,726,394,984,085,944,022,334,555,121,545,040,608,
884,312,824,348,212,091,021,083,115,251,816,659,702,871,743,017,191,577,324,
767,968,802,281,008,021,546,857,470,787,282,708,846,076,446,236,249,563,041,
527,973,926,356,708,102,759,826,601,459,548,018,788,840,159,724,622,341,981,
336,739,334,325,318,419,145,178,347,007,321,301,504,958,821,604,333,987,419,
669,343,718,931,138,431,965,154,412,656,204,328,409,621,043,282,483,260,535,
193,395,477,026,373,804,044,551,656,378,463,228,895,430,959,952,977,239,562,
182,584,462,994,320,048,615,435,650,677,480,604,756,125,424,453,404,152,197,
708,579,829,544,647,131,009,637,531,988,453,739,736,690,891,989,063,420,793,
971,798,654,108,645,067,588,678,668,870,196,291,655,195,757,420,111,347,567,
517,578,491,078,445,310,497,941,237,892,405,449,527,423,517,811,342,277,353,
867,905,407,648,789,661,641,040,241,151,922,546,306,471,254,052,057,814,422,
204,326,594,138,006,044,975,559,511,412,527,905,825,467,704,220,381,686,111,
240,180,776,052,737,315,015,974,806,287,040,535,140,106,600,393,265,463,810,
862,958,878,671,858,296,652,667,432,706,023,729,006,428,478,510,300,202,173,
411,264,136,611,996,092,694,124,039,068,839,832,134,990,294,470,603,984,793,
904,027,698,508,405,324,531,674,622,904,024,601,418,154,073,098,850,348,851,
252,058,963,799,798,699,606,066,896,058,404,276,720,669,081,976,557,993,927,
643,989,120,720,073,158,853,756,347,488,551,540,105,466,734,351,103,484,514,
314,805,018,296,526,946,563,118,735,212,270,339,497,759,121,423,779,902,129,
753,618,590,778,300,260,525,552,231,916,105,817,918,207,209,144,689,696,503,
093,978,009,208,211,874,262,695,960,965,062,754,951,791,942,826,644,133,064,
957,468,545,891,241,255,206,587,763,745,697,784,776,503,323,878,162,953,302,
224,070,164,654,208,005,067,906,985,187,595,688,188,206,576,715,066,033,319,
510,124,725,410,342,633,901,697,810,432,021,436,982,761,065,804,174,213,227,
594,462,631,474,700,310,426,152,816,635,358,909,872,318,278,194,729,498,437,
625,406,912,496,279,973,730,160,421,543,991,774,693,285,707,143,366,084,270,
210,617,845,543,977,386,587,374,430,040,739,040,888,021,057,185,018,696,269,
322,715,209,060,858,839,921,821,394,947,269,761,882,422,237,115,393,451,119,
637,271,123,352,057,161,566,744,780,870,619,749,932,871,611,949,522,526,515,
348,235,327,152,627,213,254,381,116,809,027,648,152,502,857,455,002,820,968,
246,583,395,131,969,972,352,432,320,849,085,965,673,199,493,893,068,898,938,
913,112,540,495,223,693,463,546,010,754,245,344,926,925,325,453,912,488,095,
666,921,570,460,044,015,206,956,323,641,639,743,057,347,481,922,070,727,349,
951,868,949,464,065,768,700,277,448,535,982,686,735,065,229,803,113,482,139,
563,044,284,023,776,610,305,901,696,607,960,117,820,369,378,775,070,106,330,
106,213,033,231,738,983,582,844,566,248,330,079,290,126,961,407,987,834,600,
114,120,375,848,519,307,667,378,046,030,295,725,615,952,725,826,623,534,834,
175,002,614,689,526,719,408,993,430,747,639,455,719,052,503,482,404,751,098,
199,747,767,363,738,441,667,051,560,846,286,623,886,953,446,061,034,548,613,
464,698,681,416,648,767,384,257,287,063,343,563,128,359,219,770,965,171,683,
680,022,108,881,167,271,705,504,861,687,872,817,704,902,728,315,565,973,510,
319,988,587,196,466,243,195,177,302,182,091,345,638,282,463,622,440,808,663,
255,768,872,447,913,120,991,341,513,794,277,971,141,346,161,368,825,533,754,
704,699,137,250,972,118,201,050,610,614,711,860,015,616,151,316,229,507,201,
630,273,749,219,595,294,333,649,575,154,871,303,356,124,891,532,534,528,590,
646,373,237,021,011,373,226,513,618,284,787,406,514,331,574,185,128,402,628,
968,020,907,884,163,962,885,036,918,590,252,274,313,557,905,937,425,137,288,
839,527,196,871,384,433,414,941,258,655,831,118,957,907,491,884,676,599,581,
007,451,622,025,731,548,905,565,459,557,326,034,581,063,932,654,712,820,374,
799,165,612,885,764,879,408,726,993,260,821,598,793,437,993,335,660,142,304,
493,419,026,019,699,212,162,896,883,539,978,014,990,101,310,244,730,924,131,
484,539,334,374,323,723,267,638,161,130,311,010,839,559,165,079,177,676,662,
101,319,583,692,996,328,374,680,237,878,041,838,311,747,882,077,542,068,416,
903,032,912,685,514,281,665,073,042,538,476,918,981,394,784,239,062,777,579,
976,954,522,416,437,971,937,324,378,348,489,292,894,335,638,313,144,468,751,
105,896,904,397,481,996,353,517,730,301,461,675,251,594,820,526,323,935,387,
050,753,562,813,774,305,826,206,422,640,330,115,267,182,968,809,172,647,458,
846,511,196,979,087,177,294,142,034,316,191,691,802,371,483,843,799,709,922,
293,880,272,890,728,372,896,119,226,103,130,671,834,808,758,464,154,601,708,
087,127,204,794,794,681,110,940,223,060,927,013,612,627,286,832,461,926,078,
123,971,017,302,823,288,803,351,342,265,201,755,164,092,735,585,568,282,081,
909,749,141,759,207,683,702,150,205,207,519,249,361,623,956,583,709,870,791,
710,842,571,912,037,642,268,902,374,040,466,227,806,502,271,017,322,473,440,
381,899,638,330,633,662,423,857,527,482,927,156,961,265,743,038,044,111,443,
881,197,393,101,343,377,652,114,913,419,995,712,969,087,015,867,531,137,534,
022,117,654,959,729,737,179,626,876,525,487,185,356,862,138,500,608,660,613,
071,039,947,227,187,716,452,190,189,992,924,230,332,579,438,565,419,277,545,
434,814,365,213,758,466,975,879,322,892,690,114,900,999,080,697,024,858,293,
789,856,526,228,167,003,549,288,015,591,183,596,240,541,798,011,084,943,326,
934,112,791,668,914,076,805,042,189,496,934,815,120,021,408,896,222,454,256,
116,375,501,686,716,197,873,352,275,709,807,513,158,348,349,381,493,688,058,
534,055,395,685,135,905,102,649,433,039,031,940,602,607,244,576,596,865,942,
837,338,189,592,993,162,638,270,780,262,257,289,194,360,175,712,501,627,261,
411,039,681,234,421,585,031,377,089,937,101,666,694,527,174,498,215,878,656,
542,545,724,265,769,359,581,119,944,678,456,410,317,369,932,689,574,451,222,
695,506,482,745,006,732,522,501,515,029,275,773,953,755,849,419,718,542,914,
529,591,373,884,050,930,742,909,082,076,809,522,356,391,991,212,168,938,127,
998,583,700,407,422,587,532,095,207,343,175,655,898,773,253,753,051,449,451,
019,522,259,979,547,334,278,832,512,706,637,219,025,837,332,683,074,324,546,
505,289,330,531,819,468,725,785,509,835,457,658,091,824,301,032,827,382,242,
611,979,963,115,277,653,922,169,086,320,845,786,985,975,516,255,648,185,999,
209,993,983,656,518,357,080,237,116,997,927,692,381,012,918,154,773,116,005,
603,225,248,528,314,537,407,835,604,975,355,403,519,629,977,981,774,958,008,
978,460,773,840,444,844,859,928,391,773,145,560,877,083,164,360,191,540,374,
133,327,418,716,377,515,595,341,031,532,078,751,792,465,487,568,775,518,107,
001,350,459,871,192,398,430,584,283,403,230,764,014,433,710,917,545,333,303,
442,098,963,688,965,378,253,048,418,649,358,360,331,772,533,444,309,673,917,
361,622,723,340,729,137,278,276,076,733,101,051,636,539,464,978,886,764,724,
302,185,791,572,996,946,770,464,226,989,941,108,600,070,849,977,688,468,857,
071,488,184,678,093,438,574,910,530,019,551,397,681,978,291,384,210,530,259,
456,399,335,507,830,543,699,908,590,843,299,596,561,328,509,086,218,598,308,
366,973,554,861,453,471,825,671,359,713,638,058,663,408,683,186,267,507,309,
214,819,891,976,864,541,934,102,718,087,802,179,836,965,420,108,111,474,904,
569,391,347,476,464,458,920,113,417,910,073,662,806,553,694,720,362,459,721,
332,057,100,178,774,459,832,585,465,616,060,631,959,464,829,071,104,439,454,
454,790,640,735,650,023,605,909,395,043,312,547,411,128,022,194,580,521,627,
907,889,972,351,468,925,904,147,548,406,628,784,323,009,654,677,873,211,859,
546,587,560,732,218,053,680,864,259,807,111,837,109,539,473,770,584,750,160,
391,980,554,169,511,633,394,356,875,166,323,477,077,024,361,270,589,784,305,
346,712,214,994,764,947,613,974,470,427,878,962,736,581,526,229,824,592,129,
788,805,018,976,013,710,778,381,910,019,013,156,894,310,453,167,330,819,596,
072,305,462,328,743,994,990,633,848,525,988,904,073,433,987,704,690,278,607,
012,007,146,930,351,907,008,039,790,478,909,332,666,772,001,617,520,350,720,
831,289,298,332,282,369,846,256,737,407,253,675,677,174,393,392,127,943,765,
828,652,265,233,382,606,588,488,569,456,143,860,037,442,970,465,860,992,011,
382,933,636,826,361,629,992,332,150,151,452,778,978,527,582,892,204,783,188,
269,032,817,667,267,032,473,025,367,998,033,178,844,743,617,124,049,263,408,
223,107,517,554,783,439,125,048,752,474,700,896,309,967,487,055,427,624,419,
765,407,177,576,805,651,114,205,142,460,656,054,527,704,982,482,171,819,866,
156,526,515,706,635,490,702,009,814,308,847,141,851,938,387,886,677,371,002,
322,405,081,930,245,534,695,282,197,972,776,277,592,014,011,384,449,337,725,
504,038,641,970,248,600,613,227,757,154,261,591,899,091,598,260,777,687,333,
021,722,124,724,363,047,960,711,088,768,828,249,612,404,463,269,681,730,659,
977,121,868,070,596,450,712,481,294,183,801,510,715,107,225,899,910,737,935,
542,443,050,961,852,415,887,223,804,183,623,552,850,412,845,996,012,450,337,
152,719,054,088,369,399,284,721,821,496,598,596,197,299,443,715,235,284,936,
301,577,300,724,572,209,328,795,655,723,580,738,367,461,890,679,547,163,531,
913,115,599,587,117,546,433,569,460,039,677,791,899,988,883,307,328,228,328,
975,130,486,354,403,025,344,422,866,434,547,162,774,974,174,076,115,467,462,
613,078,951,085,951,917,045,849,587,661,711,553,128,277,134,907,145,862,380,
076,106,500,414,625,689,435,373,074,495,676,625,753,087,642,545,187,176,562,
319,857,550,583,898,102,636,133,954,432,181,551,665,652,936,025,543,049,163,
757,018,297,336,622,632,882,473,451,030,785,832,463,526,603,324,602,933,650,
900,594,467,951,917,341,380,873,886,113,507,568,234,775,513,797,947,951,106,
042,869,443,276,859,175,971,705,025,414,285,171,342,597,572,945,118,477,665,
247,735,555,530,913,859,317,950,524,465,971,162,017,698,718,564,071,222,978,
695,137,445,236,107,844,225,409,491,399,955,866,092,368,818,891,249,833,908,
622,448,736,518,467,102,823,856,256,341,575,296,972,757,396,755,651,803,875,
881,719,686,732,461,575,505,374,719,525,443,382,755,948,647,931,166,502,951,
733,479,510,808,419,985,112,378,879,414,012,437,546,684,937,220,208,581,819,
149,533,506,791,567,182,275,482,735,374,578,101,963,001,288,177,218,744,372,
310,233,152,114,009,123,269,565,459,178,773,057,304,980,625,873,933,677,396,
065,209,050,582,610,252,025,130,463,317,488,670,211,625,677,668,740,208,862,
760,334,372,884,615,936,563,552,696,891,206,493,728,790,304,910,513,162,968,
574,316,111,193,778,001,087,792,443,764,396,208,199,615,672,639,031,886,759,
985,092,381,530,895,687,124,646,955,859,912,780,194,595,369,823,601,486,520,
069,742,217,291,138,807,309,473,282,189,451,369,682,684,115,754,868,118,930,
199,586,568,526,682,034,131,642,462,345,244,864,839,942,307,465,475,353,724,
475,663,794,651,780,703,290,936,437,464,987,472,477,898,215,349,802,754,770,
569,819,541,491,422,396,209,822,886,418,816,106,032,822,842,603,994,178,354,
870,276,670,778,272,037,894,663,405,470,535,077,392,793,242,595,428,449,849,
568,317,635,497,630,344,972,349,244,848,171,979,774,211,908,907,330,541,067,
090,359,358,276,614,160,538,755,414,419,480,468,230,229,870,267,412,888,463,
485,205,375,235,705,152,177,519,654,224,565,900,889,883,305,748,987,917,673,
513,627,855,563,738,598,267,316,969,462,970,428,830,134,974,699,862,217,872,
037,748,436,817,211,355,194,328,329,215,714,355,484,356,234,871,739,851,199,
839,201,050,646,823,231,922,954,286,873,092,863,405,301,511,058,391,163,454,
879,650,884,106,555,768,754,315,219,102,324,302,527,364,208,976,424,758,466,
022,397,812,759,863,270,693,488,835,797,195,935,331,737,433,298,974,944,634,
953,321,984,421,681,264,380,662,835,538,265,013,617,730,206,338,715,276,386,
746,259,562,528,539,663,634,874,806,129,381,738,385,748,817,548,632,015,732,
930,087,145,004,077,801,086,424,145,501,228,051,247,195,368,642,421,971,705,
410,152,137,644,607,882,482,997,010,945,001,736,338,153,253,279,953,287,620,
516,595,773,647,447,441,045,079,690,232,643,100,032,930,634,087,309,337,218,
239,507,396,737,024,846,640,751,090,724,476,464,692,127,571,439,234,628,474,
942,129,877,514,420,527,534,402,070,957,600,256,887,581,705,541,902,225,291,
547,360,944,140,402,828,824,302,221,768,567,471,258,353,753,463,398,038,938,
111,385,328,063,568,263,958,493,041,866,413,949,357,657,097,333,135,941,656,
867,399,539,535,400,215,859,570,623,179,246,322,576,525,480,467,844,970,902,
056,342,340,996,525,589,785,595,399,524,763,171,557,349,637,400,889,266,579,
151,031,970,004,364,134,962,960,417,711,626,069,719,842,859,360,925,957,883,
526,974,876,544,123,342,279,781,541,357,562,849,658,338,217,421,302,928,663,
924,918,944,106,088,019,651,690,519,890,903,617,155,706,341,566,423,378,745,
811,386,669,945,800,507,759,305,347,496,723,792,174,973,958,912,048,384,693,
700,261,209,944,934,064,355,768,852,567,327,910,921,796,054,708,856,395,623,
595,543,019,329,894,320,125,520,814,274,779,373,914,692,848,186,357,943,519,
784,552,216,043,123,737,409,823,077,330,186,081,855,583,886,759,437,231,370,
309,437,283,807,588,401,820,056,478,671,625,326,277,329,602,648,432,183,745,
131,705,760,438,883,655,898,328,182,715,808,377,484,488,942,117,331,895,340,
104,082,308,782,570,438,485,766,227,718,487,000,817,471,496,517,880,989,725,
688,131,304,873,083,746,048,059,458,066,985,493,892,519,343,941,605,041,977,
681,026,420,506,816,312,196,424,968,566,234,619,183,438,409,737,605,835,978,
205,097,042,391,335,672,580,029,854,769,023,728,800,814,085,181,031,425,073,
148,330,579,400,128,696,567,598,803,414,162,760,316,455,309,974,737,949,715,
787,200,678,482,008,152,333,608,551,172,309,464,112,717,347,693,427,161,056,
891,496,526,055,594,396,820,009,815,319,127,860,532,628,609,482,523,276,144,
823,008,913,014,365,785,582,680,866,158,809,962,566,309,545,330,766,022,502,
475,269,196,366,104,796,332,781,863,495,741,205,516,002,113,925,916,516,594,
762,446,801,864,315,613,343,988,345,426,975,461,263,058,451,509,770,786,097,
150,613,753,852,215,168,811,914,945,775,470,022,077,081,609,036,542,816,161,
739,680,270,192,185,033,058,916,793,345,892,262,599,673,296,398,729,223,351,
353,023,994,497,363,831,214,920,415,068,751,170,772,493,509,107,526,568,461,
009,358,719,217,489,283,500,130,091,482,716,847,322,364,025,335,427,275,342,
691,021,760,111,007,759,842,338,877,570,577,647,401,700,588,748,918,994,706,
275,020,159,485,531,375,225,949,347,333,782,127,236,465,290,795,381,447,100,
359,623,562,516,446,577,044,400,346,280,290,088,380,468,446,489,291,193,703,
997,074,454,016,304,804,996,854,061,991,925,192,447,463,186,576,736,154,481,
429,284,400,834,270,058,322,674,513,742,560,283,455,275,897,026,324,776,036,
302,731,337,503,558,521,373,965,903,308,643,038,970,728,530,146,908,985,835,
983,214,793,263,588,862,509,650,244,521,894,215,351,626,652,663,228,185,536,
323,074,621,728,426,783,001,632,347,945,767,864,971,203,369,025,800,894,865,
020,894,691,431,050,363,993,889,283,411,556,472,192,293,545,751,225,061,173,
900,350,142,100,620,956,081,318,588,033,329,312,357,665,594,579,780,470,170,
906,801,138,313,941,556,953,309,315,320,310,274,672,801,230,415,835,641,000,
851,906,074,894,828,890,829,801,736,977,361,046,603,581,883,856,469,542,990,
293,068,174,567,865,132,200,087,123,446,157,656,622,481,426,489,329,670,048,
951,275,867,956,638,483,839,694,147,652,862,277,151,166,913,930,226,499,966,
619,515,456,024,557,156,746,658,817,512,792,586,407,739,533,728,353,053,635,
509,380,490,589,968,086,021,335,887,272,313,863,696,485,249,986,315,818,740,
668,818,865,081,399,996,616,258,248,142,783,805,155,857,504,059,378,054,613,
680,694,481,469,510,943,801,128,081,905,180,099,028,628,767,181,327,792,980,
781,915,250,147,074,647,893,399,586,681,085,521,407,596,403,307,898,750,627,
937,867,476,372,682,214,231,492,537,120,019,990,073,993,037,891,343,019,528,
501,253,291,062,702,550,341,260,018,263,456,896,546,145,941,262,037,527,326,
133,006,479,854,458,014,785,510,892,926,671,914,453,572,803,869,342,511,156,
750,580,152,180,125,677,382,629,988,786,446,854,155,906,347,718,910,562,016,
142,112,202,949,413,669,207,177,910,922,190,959,344,021,315,283,494,101,216,
852,500,295,159,539,399,259,580,810,318,193,539,712,700,731,286,711,064,335,
930,108,868,435,028,140,791,560,895,422,559,185,126,855,773,720,137,656,405,
451,843,794,386,290,883,013,714,654,865,956,677,515,217,515,349,997,351,117,
297,927,048,884,718,200,946,512,758,287,287,739,927,142,508,017,186,068,033,
264,246,931,567,966,533,927,836,379,979,429,619,118,678,560,290,714,051,363,
865,914,435,960,454,583,824,559,880,536,188,155,621,443,082,874,073,935,360,
166,805,428,083,281,666,542,857,585,563,465,125,523,285,445,973,695,263,803,
373,080,922,944,334,968,952,291,484,840,132,718,571,917,016,125,984,186,328,
353,080,650,860,801,837,973,153,009,250,644,080,568,728,956,809,068,147,609,
547,112,709,476,016,620,142,010,435,152,492,289,365,658,222,600,465,010,708,
454,965,390,547,398,652,325,976,477,921,872,256,435,619,911,349,500,105,409,
813,564,129,761,468,409,716,557,888,083,497,093,652,194,157,465,071,982,508,
650,017,253,083,677,355,046,663,039,923,446,083,860,587,189,803,055,390,385,
397,064,032,743,266,485,808,863,052,644,314,682,066,097,974,494,318,301,728,
462,763,086,198,625,903,629,536,659,933,930,766,835,005,588,314,071,115,575,
230,612,590,934,331,698,423,334,403,027,129,077,743,712,431,610,251,211,340,
089,733,856,068,728,267,081,667,625,141,621,566,703,684,488,769,138,749,483,
475,949,349,743,851,957,061,248,936,148,221,359,820,866,749,038,105,946,881,
126,696,349,982,716,924,662,095,067,366,441,733,291,050,548,550,812,519,310,
341,453,252,291,074,409,756,495,115,620,420,109,156,281,634,213,699,200,848,
352,077,633,587,371,878,168,145,671,646,973,341,853,159,617,680,245,089,470,
213,442,922,401,930,973,833,995,915,167,256,651,320,886,746,227,188,258,497,
414,269,338,717,297,932,544,762,209,073,321,753,373,001,403,345,926,367,014,
317,128,161,043,722,105,008,371,492,602,600,890,698,886,999,228,991,087,093,
204,561,264,677,126,259,734,463,605,242,429,304,252,741,111,712,031,463,891,
863,680,992,882,775,177,429,779,238,670,606,846,123,075,532,689,426,375,233,
378,951,898,607,606,796,058,404,491,619,639,308,141,595,612,562,050,801,442,
245,319,903,665,392,562,365,677,585,455,037,137,635,292,969,020,418,892,683,
989,810,968,821,384,504,015,828,259,114,351,796,153,911,483,227,677,013,527,
975,024,604,219,719,213,193,211,443,712,651,652,687,452,438,642,912,377,669,
003,411,188,356,738,522,857,404,731,583,018,030,925,869,791,017,985,370,525,
794,820,446,818,199,741,961,371,239,428,449,323,092,813,976,265,893,511,091,
003,711,509,175,778,227,445,507,911,885,747,072,816,402,141,974,201,621,081,
834,366,778,066,365,479,309,374,229,462,248,707,322,706,045,318,625,463,063,
972,779,585,726,174,267,205,293,542,788,177,099,543,072,356,379,853,742,129,
185,349,775,068,258,641,935,369,361,195,195,581,049,596,186,543,186,406,239,
521,288,591,730,579,989,896,766,908,945,739,655,709,330,855,127,140,252,544,
197,550,109,736,546,119,906,545,109,965,880,261,735,829,661,129,575,626,508,
422,269,427,705,443,671,688,162,029,429,934,639,562,103,966,901,537,443,811,
020,779,995,605,751,636,792,187,319,887,480,113,428,026,620,252,756,094,889,
301,175,783,559,898,545,776,210,094,634,881,827,070,009,144,612,687,248,157,
481,994,592,156,031,689,775,837,988,659,602,279,468,037,749,060,866,360,741,
354,955,883,295,931,300,808,905,999,766,377,960,542,798,528,182,216,303,158,
012,400,294,366,715,294,369,172,602,026,236,562,446,366,366,918,854,444,276,
135,335,099,289,862,608,010,389,632,039,671,561,072,552,879,147,604,148,177,
654,947,604,548,099,358,313,085,077,073,725,705,807,336,088,313,664,735,474,
963,088,687,615,840,681,705,698,675,543,466,564,051,624,552,082,522,596,915,
320,749,808,464,138,234,717,236,301,445,127,850,019,221,128,055,718,057,769,
454,135,115,110,652,857,567,355,051,577,661,196,611,660,459,174,162,310,325,
288,824,772,882,986,369,297,944,099,178,153,337,459,063,445,002,056,401,761,
303,838,211,359,543,232,866,815,026,212,242,240,926,346,525,632,291,409,493,
724,661,993,140,176,768,459,091,777,184,727,377,943,615,301,111,215,776,634,
040,830,558,603,939,540,137,885,792,800,820,954,844,951,551,895,819,286,888,
169,361,151,489,325,115,238,516,714,339,183,808,754,805,910,460,847,066,361,
055,607,789,681,254,402,523,533,636,665,462,581,416,297,497,043,109,201,182,
314,757,737,426,779,663,835,113,946,858,530,512,906,449,556,736,411,274,146,
408,621,406,019,634,983,616,534,239,978,845,037,637,430,539,656,558,565,165,
007,092,835,908,907,886,826,032,721,637,351,512,910,433,820,386,410,064,470,
555,151,682,418,490,067,764,471,195,882,087,878,295,432,325,710,061,418,980,
565,915,475,345,039,540,623,602,079,948,173,973,590,095,887,123,281,582,791,
877,343,480,525,711,691,050,370,933,765,604,233,576,871,713,254,854,123,812,
806,283,176,249,750,694,289,981,995,346,648,117,113,959,702,981,711,138,177,
625,968,615,414,915,610,111,018,397,179,540,035,442,430,982,687,873,068,797,
169,430,463,801,222,679,346,470,538,974,779,906,983,467,002,912,014,164,188,
442,209,679,662,056,461,282,557,755,295,601,177,535,988,307,098,373,712,178,
272,983,987,677,978,976,027,089,719,149,151,732,341,328,407,646,231,446,512,
816,697,948,822,853,448,195,924,606,983,453,277,695,496,703,245,350,082,745,
538,490,955,360,567,228,905,488,151,239,067,722,887,865,629,575,087,798,155,
043,354,819,582,520,541,093,993,486,779,413,160,545,549,275,509,907,649,925,
345,932,211,845,810,737,293,649,177,292,108,143,524,066,747,411,572,487,600,
095,085,707,935,945,643,800,024,296,814,694,551,898,985,263,558,773,498,120,
127,651,532,216,356,742,180,091,637,469,993,406,991,712,881,694,827,465,950,
860,713,964,907,981,908,872,591,155,456,316,711,632,833,129,698,988,576,187,
979,703,403,019,130,394,978,471,060,334,696,593,944,210,364,957,901,357,174,
309,766,946,343,652,561,086,053,176,229,076,076,666,380,908,829,698,543,122,
765,177,247,471,760,411,014,735,504,625,654,670,038,317,635,926,067,203,090,
567,921,737,823,638,670,595,792,344,069,739,139,452,274,282,516,035,967,775,
072,966,867,856,904,392,584,818,426,955,827,575,175,453,408,806,847,541,704,
790,963,460,733,321,958,951,900,750,170,526,111,601,488,567,946,931,224,596,
124,531,415,959,941,202,871,902,500,715,084,429,237,093,127,698,548,539,264,
775,186,378,896,566,920,957,763,814,095,536,936,954,444,038,897,625,080,679,
209,754,172,454,589,404,428,260,095,134,319,158,693,778,217,604,011,065,342,
789,513,224,215,787,630,551,590,499,890,325,782,942,632,049,217,201,551,952,
921,629,409,848,438,726,323,764,152,052,993,396,199,178,448,103,914,977,209,
636,214,115,879,742,215,537,569,256,019,575,249,653,554,316,843,920,351,522,
609,618,398,850,192,092,850,081,835,254,044,354,096,855,208,431,104,819,876,
906,318,274,229,655,800,408,496,261,074,808,408,731,429,408,608,995,902,963,
951,992,835,381,335,002,453,790,173,653,500,848,648,618,358,889,799,076,022,
746,090,404,490,716,812,937,488,470,195,863,893,862,317,428,056,726,810,302,
961,553,865,774,841,637,521,539,010,666,620,479,510,811,512,229,851,580,063,
306,328,140,749,368,716,991,722,258,065,731,264,848,481,959,551,436,418,031,
405,194,779,952,001,268,566,170,929,612,261,122,281,493,797,064,854,310,450,
069,103,632,516,783,307,274,031,202,169,772,249,728,768,381,475,317,953,624,
695,013,233,546,603,631,346,884,356,533,279,425,285,956,463,343,038,876,297,
911,289,766,732,080,526,629,827,575,189,215,543,417,754,441,930,102,778,244,
447,689,109,258,752,952,643,380,772,520,800,700,712,014,336,796,958,731,548,
063,262,202,238,769,465,473,880,426,472,861,630,447,073,144,168,122,043,613,
421,821,233,406,899,344,006,757,831,588,999,500,377,108,959,535,968,962,366,
821,796,884,664,415,033,577,998,739,318,732,201,047,370,331,389,307,782,031,
546,879,827,018,114,325,463,844,391,563,794,615,408,670,206,280,964,184,410,
074,623,908,522,776,644,570,929,392,664,321,840,719,125,679,626,160,422,681,
447,953,304,565,636,061,269,723,826,980,809,995,114,636,742,747,058,908,693,
600,431,958,394,191,313,927,738,234,464,170,348,555,920,852,032,613,777,311,
743,622,200,123,418,961,688,104,905,050,954,811,862,729,059,608,551,813,109,
562,189,494,857,122,113,121,645,255,941,350,613,250,172,686,318,986,212,196,
616,422,690,482,291,428,065,297,393,739,913,813,097,825,846,758,617,371,470,
008,980,769,391,446,383,149,010,343,825,863,158,430,775,414,254,721,760,329,
224,424,434,248,487,344,943,513,611,641,737,387,004,918,389,459,169,811,767,
218,745,323,217,063,345,849,590,247,719,859,501,958,650,128,213,608,643,087,
138,052,684,286,423,676,661,349,117,052,875,541,460,588,179,504,004,298,153,
205,766,669,539,302,255,571,529,291,610,217,167,203,571,539,396,218,039,465,
511,447,368,533,254,359,178,746,613,817,187,143,856,729,064,572,029,070,908,
020,138,100,924,549,139,205,266,591,680,995,007,237,299,040,903,900,913,995,
844,547,784,597,476,266,274,449,059,038,909,380,741,968,705,803,482,027,355,
887,684,269,640,172,675,226,889,450,315,919,829,364,948,544,289,643,609,479,
648,186,697,873,892,969,191,461,598,654,056,156,071,354,908,524,874,742,730,
944,655,532,737,639,752,242,715,013,901,581,838,314,549,578,729,017,858,137,
789,786,020,641,320,936,593,840,195,245,172,862,914,718,741,482,193,507,034,
122,567,446,255,486,458,127,302,326,487,283,323,354,047,109,707,483,749,246,
010,627,012,994,662,137,384,291,625,547,154,380,574,634,722,057,402,506,676,
542,809,285,406,782,674,443,612,197,335,989,959,752,405,020,192,725,645,203,
431,701,848,056,126,256,511,515,506,608,832,783,811,220,083,774,787,793,277,
955,569,758,963,894,204,341,325,056,923,598,801,626,335,652,916,261,172,721,
191,026,039,381,956,293,222,009,431,428,265,775,588,273,728,794,350,889,090,
367,636,906,821,004,841,144,752,435,893,149,253,857,588,249,502,151,183,026,
067,267,618,487,455,195,441,749,091,859,063,629,792,370,969,601,096,810,454,
447,476,192,928,069,468,394,050,407,342,950,145,325,090,564,358,013,038,616,
916,480,431,800,493,026,971,031,930,292,832,155,557,270,541,593,350,059,712,
597,576,741,302,342,712,898,029,597,258,982,903,471,993,609,623,230,109,515,
630,180,996,094,512,142,996,364,140,257,668,193,171,269,149,619,240,704,727,
991,680,132,621,912,727,640,242,469,469,580,887,637,638,606,405,446,067,348,
605,267,738,212,790,450,410,487,018,982,373,773,968,473,608,392,509,939,014,
445,384,583,976,188,154,072,288,266,456,662,264,061,649,785,601,242,334,635,
995,650,237,778,543,225,535,795,204,081,608,342,836,296,185,581,476,932,531,
874,998,906,878,055,856,385,547,628,879,145,512,158,096,932,267,004,957,549,
501,537,455,591,451,683,106,129,753,939,626,190,998,430,497,729,744,118,729,
717,351,326,093,890,400,064,450,529,978,488,564,291,818,020,212,805,483,528,
633,095,561,152,810,435,104,592,699,091,721,073,149,113,773,985,767,581,735,
851,194,403,048,503,384,201,822,829,525,324,267,339,428,665,616,083,140,614,
512,082,875,938,031,738,200,707,563,735,172,582,405,847,321,185,245,171,755,
816,691,579,124,609,989,757,763,362,896,099,850,292,070,584,886,752,800,094,
200,041,319,793,225,099,702,353,098,245,034,125,964,412,757,843,052,131,959,
809,815,789,369,577,127,547,416,384,412,185,120,463,196,854,614,083,494,516,
035,588,573,729,268,537,333,158,643,943,094,298,100,711,829,507,649,042,791,
069,950,942,781,820,427,024,212,912,693,816,840,368,912,146,767,145,642,165,
398,149,348,908,234,444,802,433,103,247,938,827,558,426,242,993,888,002,949,
520,757,428,014,877,771,596,342,648,223,009,996,156,474,648,580,804,239,743,
148,855,111,198,205,985,488,158,841,760,638,638,909,875,730,308,968,935,113,
290,303,587,431,397,048,880,776,757,630,978,844,669,499,893,324,726,318,860,
563,791,505,986,207,641,568,639,545,732,044,625,162,004,357,921,135,228,840,
728,271,789,826,378,026,514,862,129,318,310,499,789,511,364,099,260,597,982,
338,370,943,131,846,331,483,729,805,415,329,540,242,568,966,287,640,459,725,
308,235,908,692,053,896,458,774,470,464,483,056,643,601,576,015,457,190,419,
491,095,147,529,414,826,115,619,904,323,458,667,996,993,159,273,938,197,404,
992,024,635,854,543,301,532,637,221,602,917,460,948,477,022,654,189,622,565,
078,917,594,467,186,965,081,973,748,060,479,236,980,605,215,720,004,281,502,
423,039,698,946,748,645,384,374,773,925,152,640,818,779,779,566,574,698,468,
307,422,251,915,726,019,683,016,584,580,228,626,434,493,803,539,705,025,462,
927,976,499,931,974,592,295,605,491,633,093,390,543,625,746,871,953,956,678,
554,476,873,964,610,813,615,501,182,423,167,062,504,520,342,180,674,780,007,
917,098,337,206,684,822,588,159,411,913,872,777,862,480,836,245,702,783,213,
557,186,281,371,605,823,973,188,898,409,431,749,155,454,459,492,113,451,666,
850,806,127,490,329,085,932,584,604,040,018,945,471,681,199,287,894,356,466,
284,862,675,961,075,591,728,577,932,853,589,541,279,316,362,355,293,372,761,
841,090,469,301,876,192,981,271,455,762,656,150,243,765,326,785,378,015,865,
535,815,196,666,164,951,489,703,535,119,960,526,440,404,036,969,926,591,693,
409,156,668,855,891,507,098,550,217,826,590,014,787,882,071,981,214,801,160,
129,458,924,727,022,193,950,161,431,972,761,752,750,234,947,282,516,202,331,
793,744,931,200,609,515,401,929,126,474,582,205,377,827,439,875,225,840,628,
353,448,493,112,758,557,472,016,339,920,386,758,315,504,295,902,182,684,198,
131,120,747,555,457,402,473,523,554,881,537,871,107,478,399,769,064,020,134,
731,096,176,691,029,132,064,552,134,234,477,066,346,809,697,621,409,287,386,
293,592,242,858,614,620,469,598,995,634,323,544,637,135,688,581,372,941,887,
149,783,872,506,019,480,611,364,475,009,876,551,964,139,260,343,379,040,622,
427,569,494,817,681,746,984,186,901,353,025,405,237,377,833,373,382,140,789,
907,585,104,547,442,006,963,292,894,957,740,141,574,727,059,659,523,349,829,
379,406,165,401,239,962,372,295,058,070,376,209,438,089,580,655,163,280,981,
719,012,185,004,850,749,974,920,232,728,096,005,356,089,837,202,268,051,759,
006,296,317,398,596,081,929,763,412,724,256,997,935,857,735,073,748,578,786,
597,102,243,025,849,688,020,244,751,381,771,436,357,467,245,718,800,175,375,
169,676,361,921,529,924,916,822,063,792,106,306,769,859,967,022,297,581,712,
187,949,709,245,644,938,786,180,383,780,250,234,916,923,118,874,082,254,784,
798,506,839,839,930,120,958,429,104,466,076,640,327,578,242,984,468,825,249,
888,913,253,752,869,539,113,087,696,788,914,241,140,535,305,162,819,824,917,
934,984,057,300,648,242,748,248,648,388,506,434,636,207,604,136,799,561,038,
101,191,177,311,187,701,891,784,646,727,234,606,313,836,590,571,800,145,478,
279,531,600,366,760,003,021,284,951,163,137,500,251,246,753,400,255,820,127,
905,765,898,380,001,869,161,019,196,035,346,531,305,344,111,087,606,393,724,
298,369,911,918,582,458,274,098,471,494,039,665,834,555,404,347,876,714,604,
147,278,392,342,053,181,588,156,580,492,761,091,452,619,287,066,111,045,572,
826,020,570,049,973,586,760,694,183,082,606,528,688,628,946,795,789,675,919,
885,596,758,659,399,095,732,561,584,195,788,724,068,928,440,470,039,564,971,
066,548,790,452,928,018,422,732,218,884,534,237,829,715,025,733,750,460,471,
860,126,357,231,405,100,925,785,883,161,696,761,098,183,617,609,160,089,515,
496,697,660,934,159,098,743,494,271,199,035,554,148,826,615,113,650,926,258,
847,798,793,877,659,842,998,400,164,169,710,554,215,494,556,712,050,526,382,
010,411,876,933,351,406,137,007,189,719,803,585,944,931,503,648,490,277,555,
287,295,112,062,953,197,144,071,643,441,272,176,279,238,705,845,515,702,088,
503,597,227,651,670,491,636,850,695,950,239,222,547,927,312,286,326,675,171,
341,645,386,240,470,084,306,039,711,045,174,114,894,829,998,025,988,930,386,
809,162,223,390,703,563,343,565,362,366,125,421,748,077,301,525,996,930,974,
777,989,888,671,242,779,450,020,175,044,838,403,958,186,604,480,237,118,374,
739,474,847,342,363,887,008,029,018,063,707,012,390,101,883,454,057,230,351,
009,808,166,157,566,507,676,069,917,270,494,899,221,820,444,137,316,071,232,
073,763,375,380,905,245,768,632,087,251,869,484,393,404,083,768,546,892,149,
082,036,789,059,444,501,803,822,354,164,739,004,148,347,033,903,841,077,865,
386,820,597,675,940,810,070,920,882,624,356,684,265,505,019,813,702,279,856,
909,050,298,687,086,660,031,875,313,632,488,753,205,402,009,344,555,048,143,
010,732,519,184,165,084,528,448,902,585,967,776,460,409,931,850,978,359,311,
786,088,180,554,865,810,536,279,474,429,589,398,490,027,953,978,672,502,039,
934,230,336,966,612,303,488,697,274,053,047,801,758,023,391,490,562,965,260,
326,512,229,029,183,651,732,478,368,172,515,943,302,528,112,169,814,925,766,
998,177,686,211,881,205,444,803,637,530,006,623,963,951,879,552,534,036,698,
855,603,192,869,777,568,329,081,830,522,557,018,896,489,263,877,352,210,251,
292,021,568,814,964,954,698,779,174,978,051,833,790,477,161,114,387,190,763,
210,120,285,404,921,411,035,084,895,562,900,120,696,252,789,504,645,233,671,
223,537,000,067,891,738,797,320,439,276,745,425,996,053,791,613,876,449,610,
324,672,127,853,997,657,997,326,735,427,049,738,558,586,250,149,202,316,224,
493,096,820,451,721,504,127,689,629,677,009,036,797,856,413,990,530,838,304,
756,246,206,189,843,028,394,568,159,604,597,923,439,729,411,016,314,777,429,
872,397,451,829,364,151,286,135,177,301,721,181,381,304,230,852,203,103,817,
532,330,294,110,189,439,728,681,991,844,994,057,180,729,048,844,006,171,080,
966,047,982,918,146,355,686,849,131,890,226,658,419,706,162,339,149,848,217,
014,297,742,533,508,566,584,247,855,403,051,280,810,777,807,460,456,754,882,
747,217,283,004,078,229,804,649,716,507,686,610,309,644,768,151,200,491,892,
043,469,883,370,688,785,221,046,314,109,806,223,963,373,312,800,468,865,471,
549,361,736,843,766,702,830,406,905,423,202,931,940,648,610,103,651,283,218,
261,504,059,473,974,950,029,008,698,971,203,445,363,670,351,037,978,129,790,
113,204,131,351,662,994,521,020,686,856,095,966,424,799,141,071,717,884,819,
553,965,222,217,153,678,347,464,268,537,415,569,144,117,860,272,975,066,196,
338,800,237,243,102,127,222,991,384,520,167,849,171,566,035,598,239,835,485,
037,090,149,727,107,478,738,223,204,151,926,935,631,066,260,053,713,440,843,
966,684,529,073,748,926,071,587,439,412,442,134,716,579,012,890,414,843,345,
789,969,070,629,872,183,105,110,269,615,453,894,561,552,276,513,773,540,440,
234,878,166,967,485,975,689,432,803,707,725,959,646,043,442,044,676,503,948,
105,029,107,699,385,100,743,586,513,730,757,734,405,400,750,697,401,662,353,
744,301,647,178,956,370,290,535,770,080,858,033,104,957,159,630,616,882,468,
502,145,853,332,717,662,067,592,018,125,453,838,940,672,540,614,687,661,741,
415,550,189,816,941,877,602,914,962,962,535,810,009,379,422,607,395,558,541,
381,640,597,318,176,245,608,894,414,788,678,573,854,916,295,879,541,637,623,
125,190,083,060,005,376,419,540,116,228,000,489,088,750,627,061,374,673,393,
009,950,173,402,414,264,425,979,422,998,320,973,181,557,260,126,359,082,513,
978,165,834,009,284,206,510,200,960,165,325,096,100,461,994,679,033,520,105,
065,263,796,522,612,692,325,854,700,745,705,329,379,444,341,477,105,041,565,
951,105,385,061,096,565,829,889,292,770,757,715,923,768,277,654,357,094,460,
934,862,541,582,490,530,364,195,706,293,992,046,194,907,979,416,785,504,275,
372,011,161,845,302,465,066,725,070,941,562,799,658,231,558,706,108,050,781,
964,987,582,113,959,016,213,275,450,961,916,786,181,551,618,320,919,129,588,
561,055,512,197,120,265,186,303,032,627,776,959,881,434,434,054,214,907,510,
401,169,617,356,964,815,385,630,631,955,879,149,482,756,220,154,201,168,995,
797,402,411,927,810,771,951,936,671,942,761,024,025,371,328,554,911,554,005,
792,385,250,665,268,657,869,500,814,529,659,917,975,253,878,460,903,367,775,
632,603,191,902,630,813,190,915,748,390,092,106,830,595,078,569,867,205,031,
160,820,767,086,295,558,461,259,435,138,857,844,458,951,957,392,224,663,987,
235,400,305,129,172,097,462,741,780,604,236,841,702,764,085,323,272,872,724,
450,914,409,085,133,796,619,118,923,673,063,274,722,768,669,577,626,033,193,
759,916,596,099,558,020,559,352,108,256,884,628,820,903,732,319,311,543,419,
642,864,534,936,818,102,894,873,641,434,097,663,038,548,056,324,892,491,083,
486,338,710,554,538,263,278,500,129,394,922,630,784,061,707,591,641,256,655,
450,703,025,111,576,307,214,051,975,910,345,875,900,665,343,539,426,245,440,
593,948,773,675,912,638,323,696,165,322,153,653,798,953,611,779,028,451,466,
969,206,803,526,430,532,310,517,042,352,172,578,795,353,183,457,884,617,014,
490,045,040,504,963,630,114,197,504,346,167,853,213,021,291,379,578,827,543,
203,129,096,854,506,861,532,046,224,043,870,706,056,184,766,201,425,936,623,
781,493,948,829,452,833,911,335,177,483,528,193,378,435,616,673,591,704,275,
081,388,291,609,975,972,228,743,650,460,765,563,043,204,049,947,557,330,426,
001,441,232,545,690,062,658,285,760,693,195,188,988,314,445,715,783,229,336,
202,874,357,195,013,836,705,175,323,904,498,040,871,372,939,063,179,387,941,
613,777,912,475,290,021,741,332,659,326,731,518,687,808,505,278,947,207,721,
386,186,471,553,562,761,683,860,455,921,841,180,882,699,159,578,569,387,167,
711,756,824,871,289,123,863,313,512,732,359,727,566,767,346,273,758,206,040,
310,111,951,668,506,703,270,289,195,924,639,343,858,334,559,601,912,727,692,
785,012,587,475,154,229,551,176,702,943,823,483,849,085,339,087,310,064,343,
933,647,001,867,534,130,416,523,092,908,035,276,672,051,352,552,915,148,829,
067,710,192,922,299,283,189,812,391,557,932,855,307,533,084,589,508,441,829,
178,600,288,886,053,800,593,534,166,117,400,916,362,179,233,545,447,276,355,
457,704,124,965,853,464,146,545,036,892,710,284,800,870,561,148,676,294,855,
664,944,325,068,960,652,908,300,215,971,751,846,488,625,299,684,334,880,553,
397,086,382,199,682,754,094,769,580,598,440,833,008,113,978,114,110,171,240,
027,365,238,362,570,020,881,372,340,506,842,927,170,202,367,640,911,527,467,
030,225,979,329,292,813,205,680,118,631,988,853,531,762,212,437,091,056,106,
830,422,560,884,949,090,657,947,467,431,415,984,116,206,570,458,428,945,850,
013,825,224,703,460,893,714,690,270,662,246,418,048,308,749,196,285,851,300,
725,120,265,090,604,481,415,482,684,537,377,385,990,462,692,068,461,356,582,
102,708,642,740,182,437,863,372,473,381,707,006,254,360,698,850,943,398,979,
263,250,928,777,448,418,282,573,187,773,550,034,251,806,885,053,773,325,844,
578,438,329,119,864,689,142,951,617,333,242,446,617,578,981,138,259,708,204,
543,502,630,479,830,830,774,069,540,904,595,677,724,914,645,595,759,336,249,
070,915,246,011,631,228,199,127,402,940,753,944,090,929,501,231,512,710,468,
245,339,162,552,545,099,290,278,775,587,163,957,119,093,426,125,523,168,352,
082,323,365,517,921,825,076,559,147,592,827,056,380,155,600,686,078,977,000,
407,742,781,052,218,408,688,264,962,320,121,534,307,332,095,599,978,971,831,
625,915,630,321,033,904,103,344,508,037,577,324,569,445,742,583,448,796,067,
232,771,641,081,249,603,759,575,582,053,999,488,710,302,657,790,216,450,494,
436,646,605,431,704,917,555,367,852,379,708,977,800,139,596,283,255,707,982,
838,105,965,887,233,802,146,464,671,486,945,660,329,774,185,720,176,445,391,
866,887,729,430,622,501,574,574,195,605,838,008,164,938,003,065,398,671,108,
887,391,736,033,064,078,058,679,460,052,546,491,210,659,652,246,002,686,722,
027,742,333,429,644,106,717,451,821,135,116,144,783,546,093,470,588,427,596,
676,912,599,581,341,323,621,794,716,771,272,237,824,232,800,234,826,368,738,
408,613,762,247,240,486,268,650,221,036,535,426,534,103,165,094,228,656,530,
919,694,351,899,992,808,343,058,502,996,416,290,804,149,325,284,830,476,815,
579,826,198,126,755,358,091,766,135,359,867,763,993,617,193,290,582,378,774,
943,368,705,707,234,049,267,282,871,545,975,530,394,567,606,245,966,591,509,
100,122,698,130,597,489,805,226,931,589,927,824,113,580,713,936,461,273,773,
332,734,560,000,783,219,757,226,355,771,738,328,663,523,624,783,238,243,231,
051,139,230,983,707,529,420,912,897,747,643,102,282,491,600,020,938,434,705,
341,046,579,738,514,054,066,843,298,683,360,528,660,625,315,642,322,607,643,
904,360,174,249,319,272,728,918,019,981,548,060,129,601,865,499,221,824,313,
906,685,204,555,901,997,222,477,345,984,431,121,400,800,373,338,450,775,619,
166,666,476,904,247,125,439,731,751,704,586,639,771,058,236,963,009,526,439,
087,954,719,932,671,816,899,119,635,562,706,920,531,197,910,023,882,708,577,
473,308,555,344,469,229,561,503,493,593,653,479,662,500,219,631,621,171,031,
136,678,681,293,141,452,822,324,821,128,272,811,998,994,676,804,384,876,583,
693,291,174,770,349,961,943,825,821,996,676,873,839,139,765,047,397,132,938,
593,204,122,847,193,436,816,805,520,250,649,660,504,688,693,999,972,696,412,
648,702,106,577,586,210,281,518,452,963,790,653,980,527,457,690,732,404,085,
120,182,833,214,587,446,725,099,023,480,530,975,296,329,230,003,754,132,709,
461,179,005,389,175,091,204,741,889,418,512,386,486,807,706,936,753,942,297,
194,186,134,117,662,133,417,812,609,685,101,530,435,233,884,514,684,072,123,
694,699,065,675,206,222,514,927,519,252,500,325,944,751,982,406,414,538,551,
129,851,354,333,649,958,332,638,955,181,131,494,448,124,082,907,930,276,629,
426,368,008,603,105,497,368,224,233,148,530,034,087,288,052,753,889,162,506,
558,305,699,205,554,797,768,046,467,093,195,570,031,226,648,087,039,765,478,
366,910,792,514,818,549,538,445,857,275,141,457,641,068,140,541,095,428,930,
042,145,818,013,563,850,297,712,852,597,938,400,809,680,670,860,894,678,158,
491,162,292,531,808,306,538,238,561,090,168,157,690,075,422,432,890,694,596,
315,858,117,491,238,100,829,203,852,575,159,386,207,393,093,285,871,606,612,
915,867,949,141,238,288,572,614,822,825,938,795,419,983,563,795,211,907,284,
521,881,809,804,935,400,407,197,123,115,885,158,241,182,620,568,623,439,041,
412,008,336,488,742,975,445,832,748,907,731,654,719,044,908,696,572,218,991,
422,798,023,655,301,529,011,240,466,933,720,945,975,721,556,901,964,331,933,
106,435,912,889,250,714,283,701,761,629,504,466,641,001,851,134,852,118,420,
188,000,226,872,197,139,087,939,328,642,799,685,271,050,299,007,574,728,671,
515,632,997,753,006,457,080,449,354,667,974,909,560,936,250,770,076,040,555,
199,953,879,734,378,607,361,220,674,452,060,907,788,397,648,630,519,912,510,
314,332,142,984,577,546,820,044,586,340,683,021,566,123,634,774,652,867,061,
641,667,021,350,901,484,833,113,632,203,202,108,851,253,489,617,709,464,570,
594,785,141,115,788,543,999,416,186,028,382,249,201,921,058,193,160,553,781,
058,540,636,284,618,926,598,724,497,197,884,699,217,412,284,672,998,963,294,
036,233,238,049,469,531,367,636,064,569,158,883,034,266,701,312,763,096,840,
382,580,286,291,024,967,500,027,351,205,759,965,581,755,896,127,122,212,753,
628,957,158,513,116,590,583,974,001,580,704,595,034,678,148,326,373,714,280,
200,814,557,994,592,758,741,910,075,835,704,962,461,950,560,247,293,172,978,
357,946,363,690,308,155,393,012,815,448,526,061,332,173,832,053,809,443,877,
793,460,547,254,807,334,976,283,713,852,012,903,747,948,527,246,908,064,598,
986,067,020,163,790,926,416,512,624,412,245,099,854,659,073,093,709,343,610,
561,346,511,604,165,110,416,316,184,640,084,696,374,741,604,476,052,531,334,
550,281,117,130,066,044,993,519,618,394,036,048,483,627,201,047,627,638,267,
310,687,198,664,883,860,127,229,133,147,749,504,205,871,188,183,808,486,266,
599,588,016,531,690,310,682,960,747,606,995,506,078,392,969,244,088,418,341,
188,760,152,778,748,548,066,770,554,731,078,358,124,748,932,284,062,052,832,
994,846,371,765,730,442,665,013,601,270,519,554,389,078,161,672,808,424,157,
701,967,216,200,021,461,663,819,803,958,063,717,394,152,573,765,876,301,504,
339,738,832,751,198,702,496,970,253,893,024,439,879,475,871,719,354,288,602,
570,655,054,939,089,964,370,999,557,334,143,496,625,318,392,723,475,996,183,
208,423,191,950,410,181,394,206,094,453,466,739,306,646,745,281,373,802,809,
267,090,897,026,613,838,254,992,603,133,817,132,534,244,395,440,227,026,057,
398,750,788,585,097,352,172,424,794,204,356,204,240,449,708,375,093,841,945,
834,709,314,774,306,153,909,325,574,076,332,322,573,149,736,204,637,758,872,
930,224,206,745,465,117,252,116,714,201,827,285,754,095,640,062,738,480,063,
778,367,073,901,628,333,018,175,808,523,830,301,871,033,960,066,640,534,770,
106,597,662,115,889,950,252,721,970,867,103,752,487,072,738,180,244,239,775,
604,637,537,616,393,068,174,054,265,960,563,731,706,956,655,506,684,505,192,
595,209,188,867,858,702,139,233,127,744,032,258,700,255,788,814,542,955,349,
495,453,533,822,182,898,494,914,422,712,619,001,623,936,488,694,249,125,150,
467,341,617,215,780,069,843,368,464,857,546,477,080,484,804,955,063,617,473,
253,873,855,224,357,097,136,650,229,407,485,292,645,773,291,125,327,673,872,
053,818,131,076,878,874,409,201,777,677,851,050,287,087,122,568,269,601,357,
810,468,310,082,601,630,615,755,151,517,761,659,289,250,521,300,714,609,030,
774,255,238,564,100,874,579,721,143,531,025,998,043,518,719,994,402,783,282,
834,018,191,532,251,981,774,229,881,122,089,180,486,978,907,136,180,094,638,
307,969,127,800,212,380,077,535,305,175,076,718,938,061,404,225,330,508,244,
799,291,262,086,444,682,433,338,175,374,812,796,366,566,497,992,514,547,130,
593,890,452,803,336,525,260,326,355,327,218,402,840,718,668,578,399,470,138,
328,287,924,157,610,441,428,902,202,673,277,786,169,679,018,304,829,601,503,
472,160,932,160,641,937,933,813,272,766,281,316,306,102,117,907,017,494,722,
457,905,581,714,888,659,966,788,611,589,219,108,936,817,296,198,953,955,293,
699,028,625,601,294,238,008,436,451,396,932,121,004,938,656,424,265,802,935,
024,544,695,756,413,081,759,778,319,168,385,930,434,480,928,102,567,817,994,
813,124,958,062,397,419,131,361,974,187,077,922,363,939,745,898,450,235,461,
943,488,393,900,697,559,554,839,853,905,940,214,753,711,653,721,470,772,530,
435,207,868,765,117,037,063,322,017,732,722,569,047,052,309,510,060,644,927,
480,927,273,115,375,911,971,259,138,864,171,118,003,114,467,602,970,927,111,
109,372,862,799,029,029,950,060,119,060,327,968,067,875,909,344,887,789,408,
268,387,189,287,863,689,143,925,011,168,406,261,975,547,924,610,022,954,456,
930,196,211,653,096,474,965,491,953,649,871,168,586,641,648,906,455,683,201,
784,563,529,448,376,195,636,470,704,419,274,779,400,418,125,433,039,951,028,
427,925,792,796,643,097,657,911,562,639,074,758,171,950,335,274,208,191,828,
947,000,566,187,253,229,270,643,385,000,750,430,583,368,878,846,082,700,896,
468,778,516,969,475,462,356,054,959,838,427,552,819,142,569,173,420,051,678,
194,545,357,313,700,228,612,657,672,741,751,896,791,650,596,001,908,330,117,
586,701,698,868,354,681,483,090,738,156,494,928,715,223,972,206,005,041,460,
028,430,877,405,163,151,403,956,641,827,570,505,167,586,077,228,943,976,172,
064,776,789,641,894,572,118,535,300,257,901,896,357,833,867,985,274,923,346,
672,863,161,850,701,011,280,013,152,484,970,714,815,731,342,913,565,077,700,
496,439,603,092,957,810,805,238,880,185,905,761,365,992,360,253,872,457,574,
082,999,508,183,979,450,289,369,336,216,339,993,622,002,836,538,363,616,983,
674,688,537,494,230,682,315,128,589,719,553,848,491,608,642,843,327,410,289,
959,779,216,177,676,797,225,380,836,136,279,418,620,936,725,556,446,368,378,
140,868,643,033,113,020,332,827,566,473,416,787,041,172,987,533,142,758,900,
939,315,809,941,807,631,060,835,565,754,623,835,390,363,626,370,082,455,910,
791,509,635,461,197,308,738,674,399,821,455,679,657,024,968,938,717,640,006,
905,798,728,396,094,141,645,429,047,115,809,451,614,749,686,335,453,592,879,
519,835,769,282,045,994,421,894,884,736,299,153,235,843,128,688,964,993,295,
554,626,803,745,448,829,939,346,648,059,596,042,303,865,738,594,380,486,855,
669,625,958,251,675,393,637,271,752,866,774,367,121,474,778,222,186,468,426,
397,384,647,508,012,344,074,047,766,620,587,421,974,819,963,376,162,563,134,
901,764,370,746,919,958,477,466,250,154,480,536,980,860,404,950,713,938,134,
762,379,143,846,836,706,117,222,521,393,562,454,132,386,311,373,560,782,036,
607,917,490,619,294,888,730,881,322,132,006,131,453,571,105,674,447,575,677,
959,516,534,139,494,550,081,404,647,708,512,396,259,471,116,114,768,084,960,
399,665,133,665,605,088,514,785,478,022,385,798,199,559,308,923,608,854,169,
824,344,437,921,237,730,356,870,728,701,825,340,567,392,269,568,419,982,607,
427,361,603,458,149,044,497,802,259,264,734,547,527,360,823,443,891,268,504,
709,979,746,160,901,592,537,001,838,000,113,367,348,707,056,741,606,945,662,
408,635,377,931,862,681,210,525,727,983,943,655,405,356,194,057,646,529,114,
345,527,693,093,283,902,511,206,893,026,970,334,575,930,693,362,901,578,033,
468,663,701,179,532,756,380,049,644,024,735,648,732,523,157,591,297,237,759,
729,812,780,459,912,847,354,665,522,881,920,772,212,331,052,902,170,179,212,
205,961,929,346,667,760,761,838,239,328,099,453,080,793,241,106,707,720,218,
246,429,289,123,093,556,653,055,647,097,315,461,633,602,851,365,572,357,626,
542,296,877,678,382,009,912,239,202,052,637,312,745,796,667,100,592,834,408,
638,110,480,777,293,293,622,122,767,717,961,200,564,782,551,335,917,874,296,
573,928,621,406,987,541,946,704,602,202,193,233,733,750,610,527,795,465,883,
697,361,891,326,373,770,271,791,428,345,341,218,058,037,100,105,377,378,469,
440,296,400,691,171,494,350,351,409,729,871,854,701,245,438,399,098,213,498,
589,115,018,981,938,005,615,740,680,961,001,337,530,837,471,203,111,543,360,
279,129,670,632,257,912,181,722,001,426,210,785,879,022,247,326,765,940,449,
525,332,521,363,448,938,903,036,472,584,284,710,973,269,028,241,292,486,861,
143,158,131,655,403,787,747,826,712,001,447,113,265,688,568,755,655,736,414,
896,864,148,291,443,634,361,076,392,801,201,427,150,861,279,856,976,946,375,
212,360,852,219,456,858,617,132,970,307,984,558,160,657,694,554,966,137,415,
394,024,375,703,875,540,151,229,440,639,902,753,113,555,520,828,405,347,545,
125,345,580,271,362,246,647,392,740,253,280,419,080,593,437,481,159,448,205,
560,427,177,668,452,929,520,640,539,630,108,175,562,057,059,835,725,293,441,
459,852,693,881,592,533,857,954,338,530,687,268,433,343,962,330,267,986,868,
436,733,599,769,184,892,173,597,093,813,000,612,270,346,450,746,443,587,266,
348,939,750,018,228,551,010,635,366,423,865,138,466,563,350,737,017,498,705,
017,219,516,672,875,558,196,018,363,444,298,172,434,169,612,929,947,513,874,
025,456,396,022,570,583,169,019,167,051,793,411,024,689,496,624,127,550,371,
097,141,433,824,600,737,741,090,966,614,872,394,729,024,237,978,800,116,011,
008,913,233,437,913,578,561,689,291,278,070,315,091,466,785,795,969,080,842,
138,997,902,355,651,676,326,194,302,255,657,194,606,546,514,521,811,754,105,
865,802,810,525,099,274,089,644,241,995,274,182,731,584,927,352,927,774,238,
638,821,342,926,698,438,469,524,675,572,681,013,108,435,988,723,132,817,724,
793,146,973,806,962,909,041,413,385,873,455,077,224,196,577,611,955,045,281,
089,858,482,312,249,515,620,373,619,488,489,336,017,705,409,922,998,502,399,
893,560,010,957,891,887,970,561,927,514,416,058,176,218,585,566,998,684,831,
238,864,123,611,115,447,467,065,333,196,985,563,342,651,028,920,523,390,725,
082,231,113,947,924,994,984,802,169,726,538,361,502,891,893,333,996,147,523,
655,765,286,000,045,743,547,190,130,113,586,158,175,183,925,013,836,336,146,
927,924,708,843,872,865,375,011,838,860,974,089,217,528,512,170,921,018,103,
244,370,300,012,305,122,612,619,114,705,798,821,215,342,917,800,872,445,359,
937,840,427,788,111,375,125,354,482,702,575,206,202,047,295,186,540,904,655,
682,727,389,958,347,208,876,224,128,668,889,086,969,698,165,006,683,110,222,
773,489,955,035,214,532,448,139,944,111,893,258,343,818,876,553,467,069,606,
273,788,959,453,139,650,374,834,280,313,424,829,248,560,831,008,627,165,319,
219,933,294,019,918,089,367,933,406,823,959,487,022,759,180,329,194,208,373,
264,542,309,025,503,198,407,652,190,089,535,288,142,807,138,829,215,079,419,
509,953,322,074,135,545,455,160,495,538,897,443,369,199,092,588,667,067,305,
665,176,025,659,138,781,540,014,877,103,448,593,266,614,432,960,060,192,142,
902,985,079,269,373,873,263,082,286,863,000,553,112,545,332,834,647,019,965,
696,141,374,733,299,160,278,141,218,519,247,542,887,458,663,589,712,581,137,
066,650,217,935,238,071,354,563,630,484,226,032,786,773,790,690,377,750,671,
623,989,848,554,758,284,729,432,392,277,769,117,685,565,133,245,438,868,185,
603,473,369,709,559,933,404,074,992,272,959,719,308,414,286,475,300,645,727,
925,702,390,499,772,633,696,286,648,297,526,236,967,227,225,288,429,352,836,
065,129,302,395,539,084,169,949,673,056,269,809,648,043,736,230,749,012,889,
698,438,780,140,671,711,879,048,958,396,049,483,832,498,227,596,989,408,480,
382,817,893,034,155,463,787,343,542,892,677,022,428,206,733,480,717,752,065,
121,257,895,370,727,667,813,001,198,727,484,976,222,859,853,557,301,760,206,
434,223,435,325,425,804,419,664,172,516,598,766,327,978,736,993,814,810,604,
419,714,694,340,987,928,396,034,011,532,937,312,607,215,988,838,353,700,248,
729,845,686,611,027,744,207,555,674,589,453,381,629,742,232,528,301,349,586,
474,102,706,208,115,355,034,816,038,923,834,491,534,410,123,949,332,089,499,
162,415,151,034,574,362,522,786,861,696,701,433,522,576,810,814,694,421,091,
257,817,295,377,809,962,686,070,723,690,762,718,934,380,390,150,175,255,473,
128,819,510,062,070,413,693,192,490,404,251,942,636,683,281,966,426,386,805,
015,086,684,090,872,635,534,194,759,536,289,047,775,634,258,650,259,823,798,
941,298,102,878,539,156,865,750,960,366,133,701,627,221,026,147,610,919,257,
179,164,478,275,139,639,523,879,232,031,869,536,844,001,924,937,036,326,330,
109,913,406,698,946,840,332,452,263,626,602,037,298,587,611,827,568,780,767,
651,235,013,113,421,837,179,831,273,937,340,883,209,962,602,003,602,226,566,
784,358,145,158,711,253,529,765,201,874,547,904,173,666,744,717,866,526,200,
445,859,243,603,089,569,224,933,679,945,746,174,802,960,781,726,007,926,317,
205,811,902,758,830,740,014,388,168,610,941,865,229,386,949,520,919,782,575,
239,592,697,599,305,843,611,584,999,545,682,802,495,768,168,549,043,440,524,
128,021,261,551,421,225,535,107,170,845,003,310,703,702,679,738,711,450,047,
916,612,665,335,003,499,051,646,546,708,711,448,279,165,230,014,916,152,570,
694,873,281,691,581,227,029,302,677,739,505,222,389,080,170,896,593,377,521,
459,807,863,290,751,790,958,634,617,448,346,907,591,338,091,614,415,118,775,
661,171,261,976,731,395,886,011,203,901,598,620,888,355,196,919,131,815,531,
251,918,850,731,348,700,524,570,998,451,651,065,557,738,511,171,044,968,495,
934,999,140,653,923,525,849,984,174,079,676,951,034,333,947,909,520,856,472,
414,816,210,543,995,615,741,351,716,131,491,640,345,266,865,863,570,422,980,
437,039,138,760,196,733,392,590,604,870,090,249,114,752,208,314,800,624,616,
989,725,677,487,082,190,161,435,062,506,625,910,650,453,887,714,919,154,805,
878,546,290,131,930,148,449,265,148,587,246,189,331,005,036,769,729,597,269,
809,289,765,178,627,162,359,117,060,136,862,387,229,252,613,642,333,468,026,
485,679,292,632,146,951,686,558,332,057,680,207,138,222,108,213,778,460,668,
199,402,622,813,065,443,845,391,079,418,809,760,294,606,995,292,548,567,781,
796,799,294,181,710,880,342,107,244,318,412,529,491,445,013,049,171,740,442,
021,268,617,306,079,479,879,584,626,739,889,743,827,443,891,212,459,337,015,
256,356,917,818,616,246,469,408,184,651,046,904,548,553,693,538,496,642,132,
383,818,054,604,614,066,726,292,455,618,600,090,647,815,918,000,192,633,565,
396,933,327,977,175,103,702,348,538,573,754,393,260,535,130,439,927,756,044,
725,190,512,563,924,484,416,818,197,830,085,333,667,703,602,724,197,080,485,
692,115,101,970,584,501,923,157,741,440,018,692,646,604,607,525,958,525,540,
862,722,632,964,180,243,002,694,346,617,699,949,289,314,177,631,307,550,129,
320,228,943,298,018,290,381,591,819,237,696,126,327,981,545,142,968,458,176,
462,518,827,947,741,133,813,599,291,568,022,782,421,176,687,571,000,308,130,
712,715,869,346,527,972,844,267,825,249,095,031,646,817,164,867,681,063,090,
980,024,900,027,594,477,993,239,128,990,171,649,599,429,117,772,863,166,833,
164,236,216,487,278,417,416,269,869,074,087,596,617,453,489,789,685,956,849,
221,908,795,832,699,135,845,428,949,994,779,284,181,193,190,708,602,219,041,
498,741,993,560,897,106,517,585,458,769,296,220,478,345,386,871,775,391,676,
922,247,378,553,850,477,761,101,859,820,018,332,161,727,023,605,367,121,375,
550,304,756,385,255,595,420,855,903,121,026,893,754,667,883,887,519,602,527,
815,149,773,038,211,435,912,532,963,324,889,895,758,128,856,719,486,076,628,
816,310,753,266,131,880,361,523,172,452,807,685,778,116,093,886,153,672,436,
887,854,049,680,377,599,919,437,227,621,895,787,645,291,992,736,603,690,505,
239,570,586,696,196,486,084,335,754,227,739,978,135,737,748,927,302,445,952,
299,195,239,858,321,660,735,996,192,536,338,769,201,433,128,579,617,623,712,
983,515,590,813,589,822,490,575,495,885,171,099,677,392,257,830,823,039,174,
430,750,788,701,201,243,356,300,373,576,279,661,973,523,261,553,090,773,004,
201,665,786,996,641,659,628,466,091,995,038,302,147,523,424,901,220,639,052,
972,378,699,503,834,852,616,093,942,617,116,728,452,591,443,259,449,556,948,
180,194,029,226,271,145,740,940,676,850,340,947,763,464,125,519,537,423,748,
275,491,445,687,546,330,608,816,222,100,760,876,644,921,702,113,979,537,504,
996,154,682,087,575,405,003,709,500,537,927,410,916,703,367,558,977,783,402,
868,394,861,793,550,779,094,643,219,166,850,514,351,787,566,338,829,665,926,
287,153,435,986,961,799,333,829,856,711,169,291,186,151,443,768,729,067,423,
694,638,728,592,058,675,831,842,219,678,743,235,891,771,015,096,789,943,355,
241,544,918,566,295,935,610,174,498,791,571,771,809,969,147,196,712,040,419,
559,942,971,989,727,217,827,142,706,660,009,538,182,828,618,519,396,754,858,
086,004,951,965,827,711,057,482,355,211,474,170,394,243,789,339,825,429,969,
468,652,735,343,672,416,053,715,115,803,236,536,549,572,875,374,863,159,151,
493,318,970,204,801,306,526,768,280,311,414,564,214,360,895,408,751,668,813,
882,113,439,221,702,767,032,099,819,130,214,411,586,429,147,836,299,090,016,
481,826,751,067,617,929,888,129,824,604,386,604,993,151,242,287,396,121,054,
710,523,659,326,836,855,095,038,845,207,967,096,302,619,056,416,238,712,706,
674,117,180,238,526,331,913,045,681,982,672,877,964,751,678,204,727,359,941,
012,859,865,212,191,634,134,824,668,079,523,230,531,232,244,728,872,147,653,
509,831,256,002,904,760,135,032,431,975,613,482,231,642,151,356,162,746,749,
741,144,274,301,388,244,129,575,823,533,805,678,091,700,287,926,622,473,429,
518,998,568,914,728,518,278,771,576,916,323,846,892,942,873,244,898,638,367,
072,509,833,701,678,394,749,980,237,048,515,533,617,541,532,453,932,375,386,
499,367,599,045,967,907,182,648,717,162,785,454,609,190,355,475,496,960,944,
828,328,517,267,957,664,334,236,619,893,905,452,458,249,779,878,085,139,594,
668,421,490,519,144,147,703,126,230,194,994,117,820,088,823,124,511,061,066,
528,500,179,171,565,451,065,675,221,664,305,841,042,404,744,984,360,304,376,
252,934,274,300,770,681,336,451,946,647,332,546,052,464,907,006,099,610,406,
580,573,742,492,326,236,793,463,450,978,550,198,177,632,980,249,026,871,941,
194,878,788,840,651,660,464,351,911,606,927,806,025,910,842,184,892,421,158,
886,613,879,429,550,518,839,925,970,319,181,116,989,616,966,838,894,414,839,
097,420,097,595,111,924,088,769,716,770,497,709,074,490,972,017,523,227,511,
768,173,707,255,556,220,522,594,364,913,823,280,736,717,911,156,150,332,959,
419,290,680,719,790,771,036,568,133,465,720,387,753,044,789,995,015,302,901,
211,197,829,766,057,987,733,297,872,982,574,374,987,726,669,247,695,354,539,
789,745,482,083,084,148,909,330,727,679,424,083,386,828,634,407,982,257,597,
116,927,054,014,392,781,476,575,357,070,129,387,164,940,342,152,513,128,143,
428,076,525,604,650,834,159,218,054,228,862,734,898,465,102,739,408,931,952,
474,074,010,629,941,682,510,901,196,120,240,446,124,501,396,245,945,382,213,
345,106,973,932,280,115,803,764,920,231,370,529,295,169,653,494,059,461,990,
786,400,151,172,885,356,987,485,606,056,376,583,213,821,091,907,468,645,600,
268,373,464,674,277,946,455,667,018,891,522,148,247,925,699,774,491,110,423,
852,647,558,447,190,658,186,154,318,136,631,789,819,463,183,240,735,081,240,
796,242,862,149,314,184,015,574,802,752,671,993,613,527,990,214,635,602,035,
025,947,661,133,524,741,446,237,789,058,629,004,245,284,989,409,368,277,989,
448,040,771,544,111,500,976,332,082,533,148,660,990,643,571,837,243,870,632,
167,529,546,769,496,020,015,792,936,569,221,651,654,755,054,057,155,921,133,
276,375,512,079,124,834,124,256,308,789,975,364,750,797,551,087,232,326,174,
057,408,089,379,977,458,014,159,872,951,013,945,365,089,832,201,045,664,435,
039,140,604,266,250,387,446,784,023,934,900,910,566,075,538,833,122,440,745,
043,142,839,560,144,975,870,920,406,468,783,005,132,765,369,793,103,972,385,
779,847,995,959,053,114,597,638,619,439,586,688,450,967,995,365,850,513,483,
758,834,192,780,767,593,181,023,373,594,495,409,684,879,925,933,601,115,920,
529,086,232,352,470,432,932,500,730,317,056,057,714,929,107,636,381,184,253,
306,450,511,740,243,997,140,863,117,120,037,951,657,263,231,709,200,741,777,
341,105,648,057,687,477,694,223,248,277,403,729,311,931,249,969,851,908,230,
214,778,544,456,090,574,148,870,255,220,040,764,665,894,526,963,433,603,076,
915,118,360,046,134,821,036,909,126,079,690,528,781,276,473,557,818,231,472,
308,925,200,366,540,249,793,848,045,101,686,377,647,754,528,853,879,269,975,
881,220,394,762,777,358,703,970,892,639,406,043,257,258,915,018,908,193,173,
563,002,133,391,350,801,205,789,016,480,888,191,246,299,122,717,573,344,411,
432,970,900,071,471,550,681,039,437,950,059,164,428,095,612,365,468,204,030,
790,552,685,061,313,361,643,279,662,241,319,088,079,403,418,930,486,679,730,
350,644,217,522,648,214,589,113,812,395,529,563,013,800,659,701,324,628,618,
911,678,001,025,240,950,041,255,552,815,154,008,931,716,744,309,132,701,989,
429,711,996,819,538,823,192,191,226,823,057,280,989,088,097,175,308,470,387,
118,860,538,766,122,009,990,201,654,299,117,693,488,573,363,709,566,089,199,
780,353,994,070,901,025,948,291,319,144,106,768,533,508,605,045,001,788,210,
049,654,706,935,162,901,925,160,435,618,218,494,188,746,517,969,250,523,133,
732,912,488,684,857,269,681,068,607,528,355,490,569,923,357,535,676,744,824,
741,333,979,677,934,495,112,535,619,695,825,223,860,562,899,229,905,060,353,
509,131,114,397,681,134,150,221,234,599,463,629,927,563,838,086,897,038,899,
863,185,049,783,675,626,138,828,820,289,856,211,726,472,313,120,683,622,646,
037,478,811,326,805,224,600,367,404,332,105,246,799,589,637,980,032,958,339,
646,410,729,907,000,584,448,413,074,561,324,401,678,022,583,805,184,370,268,
381,934,084,587,186,551,896,443,531,516,238,950,774,346,713,948,319,934,645,
122,928,171,864,938,668,962,563,952,649,611,623,850,900,911,763,641,105,799,
752,079,013,284,754,551,686,383,722,314,152,341,851,278,404,592,081,287,194,
703,533,396,200,313,045,818,098,887,857,354,110,057,169,941,797,440,387,231,
386,148,387,130,224,463,524,577,635,775,360,876,240,202,102,677,506,732,449,
636,772,131,197,659,740,318,152,137,629,450,092,342,015,749,078,851,336,883,
179,280,235,870,263,092,206,673,808,033,722,431,492,053,507,701,309,214,710,
134,180,555,329,924,728,536,456,546,919,501,000,708,221,163,708,477,506,872,
491,598,407,305,112,935,964,326,972,136,251,043,000,284,144,652,858,579,590,
399,752,662,826,086,967,744,599,604,337,310,981,692,066,259,538,245,043,126,
059,824,271,477,328,655,641,949,000,270,163,497,835,621,556,854,631,591,244,
164,464,785,742,922,023,491,088,642,256,489,644,941,658,233,319,063,641,926,
808,367,473,469,520,124,840,954,287,556,145,843,723,797,708,465,646,916,518,
881,557,302,083,000,919,254,598,999,880,661,820,148,547,538,288,692,684,376,
699,241,302,572,264,376,409,380,884,456,969,357,018,462,244,556,271,552,160,
791,763,833,300,419,050,272,322,655,917,320,845,716,693,924,961,350,932,122,
272,485,508,447,461,446,980,841,109,590,164,307,954,770,417,407,576,713,894,
967,750,261,700,466,137,867,811,966,829,633,163,166,197,493,620,215,223,116,
426,974,469,193,574,927,347,863,220,569,096,871,779,416,044,505,577,130,712,
656,192,469,966,395,142,178,239,703,054,383,042,236,717,920,066,244,760,659,
127,055,197,023,633,259,312,401,756,089,873,782,821,216,419,185,777,072,320,
932,948,601,191,945,513,350,475,780,764,189,554,184,017,214,991,493,784,141,
665,026,322,307,220,339,398,755,547,934,428,163,150,899,286,739,798,206,065,
271,541,843,978,566,571,469,829,337,856,121,990,627,089,773,278,072,007,460,
627,098,942,257,237,657,536,889,613,952,843,143,175,295,034,567,514,984,930,
405,850,535,541,987,950,383,065,562,699,507,827,650,635,457,175,080,927,374,
894,667,147,883,478,730,784,339,306,945,040,316,938,578,389,335,136,772,845,
929,534,531,440,462,165,974,446,124,815,464,573,241,213,497,603,256,880,108,
325,593,153,498,149,720,855,885,103,567,005,089,405,129,344,100,307,391,552,
659,261,136,408,321,057,714,155,366,783,356,997,793,095,641,603,464,075,940,
943,858,922,577,800,048,692,867,954,486,554,027,035,289,451,530,133,317,203,
030,352,550,323,874,710,741,466,911,905,416,544,461,592,947,542,647,618,105,
465,178,027,997,342,067,422,194,966,325,023,479,808,906,144,674,049,938,511,
291,494,553,628,959,978,732,324,701,596,443,134,239,415,562,346,148,754,824,
150,502,181,413,861,781,470,545,090,680,891,172,189,714,816,859,211,956,476,
474,549,793,540,620,444,860,702,654,289,554,473,786,829,764,846,661,219,329,
745,489,007,580,173,080,200,493,907,368,381,787,144,428,284,088,930,854,574,
039,772,491,079,992,590,923,535,243,891,856,047,207,278,960,004,274,834,393,
602,577,410,381,880,968,663,338,145,565,913,958,207,798,399,446,969,510,068,
833,534,394,605,124,286,465,258,281,339,834,072,069,426,815,844,431,792,876,
355,249,915,643,678,503,663,779,167,692,238,823,910,397,281,518,600,908,024,
398,970,080,051,036,445,308,843,598,514,137,902,711,265,046,063,275,614,807,
558,003,919,316,904,069,057,886,526,211,115,635,068,885,274,885,879,503,628,
488,652,630,746,632,331,878,282,511,440,423,874,426,822,875,111,138,004,875,
611,620,522,898,176,708,244,428,281,209,201,708,878,795,652,506,681,465,638,
686,861,923,370,442,575,274,597,466,775,637,921,810,670,417,473,699,752,096,
013,491,816,978,437,457,761,569,140,853,119,409,355,191,157,849,335,205,454,
505,070,334,371,571,011,942,174,991,649,126,751,671,757,125,843,251,401,528,
774,775,567,419,119,904,668,263,415,321,705,752,401,984,952,224,603,819,239,
746,363,406,084,070,679,676,987,714,959,774,930,111,746,542,895,644,557,648,
240,422,199,786,465,577,009,439,998,763,918,549,009,986,029,747,981,554,127,
906,198,647,744,604,672,857,350,092,904,818,921,583,558,469,438,424,008,304,
058,018,584,443,476,877,710,144,332,927,382,146,373,946,589,736,527,944,364,
768,135,980,131,752,452,454,287,158,079,818,105,126,850,797,505,686,354,923,
197,820,577,515,706,947,909,448,226,545,338,297,980,191,859,629,648,328,389,
184,604,641,007,622,867,132,906,118,858,735,208,470,475,934,109,033,580,813,
075,010,133,176,779,341,928,349,903,270,205,448,319,446,809,824,964,095,620,
686,024,422,574,703,560,844,435,963,724,934,072,671,026,388,563,188,654,441,
107,698,657,010,860,614,466,526,882,163,026,853,016,810,865,058,509,554,681,
321,457,828,333,411,036,044,484,379,411,696,696,249,974,750,142,651,010,408,
759,782,758,729,729,570,551,991,076,798,522,318,746,230,931,074,434,201,775,
907,742,564,918,988,261,124,365,502,612,614,227,214,363,236,200,018,755,288,
101,416,836,330,537,520,642,052,259,383,057,714,054,294,190,894,893,575,823,
488,987,810,347,526,121,056,985,156,912,472,542,990,807,934,891,608,639,635,
733,819,580,550,147,782,416,137,088,351,878,815,212,895,622,886,392,083,216,
520,994,962,494,357,154,579,199,119,742,062,247,929,278,762,521,531,786,267,
285,732,705,398,616,404,869,129,526,175,913,032,428,815,930,689,355,052,646,
273,755,041,012,844,608,258,045,058,167,374,345,394,471,076,734,304,787,664,
087,738,170,770,856,370,566,143,229,678,199,264,568,527,371,220,219,789,977,
903,112,495,734,099,161,655,866,273,196,663,855,406,122,604,206,617,677,490,
454,946,288,145,593,877,492,599,041,907,997,199,265,638,695,596,388,412,799,
594,461,006,885,198,779,906,491,042,883,796,874,228,195,500,524,616,300,848,
759,655,919,092,365,108,139,525,511,105,912,798,754,693,611,726,332,864,065,
500,171,083,580,532,275,731,283,649,999,835,282,351,139,611,528,085,400,571,
054,173,068,243,840,190,550,398,441,149,460,179,947,476,130,506,614,148,956,
969,971,752,457,063,219,188,436,982,479,434,333,683,502,750,201,198,813,079,
867,692,203,644,213,723,882,075,482,339,719,708,754,288,529,145,386,739,059,
676,983,472,305,602,334,824,204,751,617,020,127,668,291,888,746,776,050,872,
206,539,586,330,690,491,804,103,436,146,038,848,759,539,372,095,201,689,234,
387,206,138,095,322,663,827,173,315,938,453,293,315,431,338,443,716,900,930,
695,383,365,196,631,604,406,570,506,735,248,518,511,078,869,873,313,646,869,
380,899,145,889,819,818,151,022,979,060,697,641,973,531,006,072,099,880,145,
156,219,767,878,050,484,292,055,076,649,163,357,470,767,614,035,671,553,330,
542,413,242,513,226,372,804,172,889,937,002,695,846,282,539,701,715,706,817,
723,443,732,055,915,162,011,018,385,455,712,557,449,726,481,073,135,116,386,
819,418,266,674,973,842,933,161,043,917,947,168,996,162,105,008,223,830,401,
548,624,971,102,336,615,205,460,757,265,467,495,347,113,323,846,302,315,429,
137,762,505,204,673,012,677,050,862,706,189,537,373,355,779,544,109,635,226,
532,600,416,020,924,265,360,164,491,063,688,878,863,891,709,253,457,053,751,
454,478,899,981,892,994,097,233,374,443,456,483,932,972,668,339,990,775,703,
465,563,354,642,353,794,156,387,032,850,621,241,236,797,471,804,026,137,807,
953,673,232,740,554,649,673,730,017,118,867,589,125,568,217,457,194,326,361,
235,362,981,901,071,617,189,578,044,198,738,352,047,249,734,177,627,735,372,
402,743,573,102,285,633,857,937,954,126,515,520,809,028,900,869,553,835,582,
642,234,093,317,043,010,847,634,050,545,000,618,870,139,776,743,171,334,351,
175,690,360,219,198,695,139,660,600,720,357,527,373,716,697,002,238,298,930,
625,887,319,342,651,023,456,376,318,312,607,497,320,508,228,399,225,558,271,
349,789,813,744,913,004,410,861,817,857,821,343,634,293,683,747,235,131,054,
378,647,302,295,540,889,743,791,730,329,567,036,150,211,023,183,328,482,303,
942,156,991,753,425,393,367,763,749,362,178,816,934,097,494,710,422,026,788,
656,046,359,123,579,643,205,392,509,378,726,632,127,996,581,117,857,738,586,
797,011,279,578,964,528,311,321,359,126,730,173,502,790,479,114,688,300,468,
745,407,243,519,545,686,203,466,825,602,449,303,945,539,124,437,821,163,235,
976,984,279,297,520,794,598,249,540,946,150,532,404,691,665,910,473,202,981,
504,269,007,636,586,318,748,193,210,355,347,683,940,933,112,637,059,485,940,
049,709,125,962,771,693,725,113,500,038,426,035,748,066,368,272,705,815,602,
114,518,141,964,714,455,916,896,727,101,940,122,212,843,933,669,282,126,673,
815,756,421,140,546,192,259,396,766,140,769,119,589,266,432,538,773,519,539,
864,941,776,954,130,271,863,044,315,907,153,169,775,728,581,685,767,112,273,
270,032,128,146,886,493,605,460,854,480,447,697,539,482,401,217,066,663,469,
607,352,906,360,899,909,655,823,675,147,732,855,293,465,856,914,758,790,632,
317,149,417,501,656,163,364,392,903,556,529,075,358,011,213,915,550,960,821,
919,630,931,346,178,390,055,712,550,016,728,308,257,776,139,327,342,212,432,
483,051,693,278,591,471,715,125,915,467,110,993,715,455,317,167,227,758,738,
669,195,277,082,985,309,503,793,579,899,820,222,854,734,661,720,012,946,025,
028,660,808,696,719,588,486,902,166,704,908,245,919,749,174,467,084,432,071,
192,360,345,875,653,391,353,599,494,051,280,824,062,724,912,504,161,722,149,
942,642,233,786,787,020,203,065,862,239,735,302,059,257,305,552,572,758,240,
196,201,935,782,786,918,430,121,747,601,174,276,821,429,387,447,862,831,600,
038,533,354,122,336,291,405,042,730,412,533,763,993,089,084,257,698,183,778,
573,400,634,874,405,665,159,152,472,904,524,619,860,757,388,378,644,713,670,
658,631,999,186,468,709,504,897,540,816,756,936,801,442,523,912,556,451,360,
522,059,649,145,902,580,127,980,688,405,516,628,909,918,172,823,237,253,429,
271,548,216,414,462,448,965,400,500,240,630,936,670,261,023,158,724,280,612,
806,607,805,655,949,896,198,892,774,814,381,663,403,046,229,335,891,866,285,
006,699,939,968,616,085,880,416,372,180,577,875,726,451,284,299,854,758,529,
019,704,848,892,748,566,692,563,746,319,289,904,266,110,599,908,001,184,476,
192,416,334,723,046,686,867,902,721,532,351,820,378,874,415,084,480,332,851,
111,466,862,970,444,580,601,384,350,283,684,574,429,181,152,506,645,564,392,
050,159,932,759,157,546,758,646,428,959,290,257,715,028,820,421,266,512,229,
002,978,851,191,072,213,535,423,163,451,657,683,115,603,889,453,260,470,394,
281,703,831,216,720,069,844,790,574,793,214,420,054,242,518,589,658,273,943,
312,785,678,552,229,301,829,323,064,054,767,684,720,597,805,044,350,374,726,
862,818,605,575,240,164,825,722,258,937,823,965,443,319,856,600,619,997,629,
274,561,975,212,305,314,220,614,219,726,911,372,982,106,086,143,725,175,360,
169,406,910,656,667,297,009,542,514,112,104,274,750,532,101,671,278,754,404,
497,734,911,968,701,372,506,106,162,604,975,944,306,077,812,795,483,341,636,
723,365,478,134,213,593,317,838,749,129,061,880,627,416,782,679,869,196,666,
728,113,366,683,243,935,126,581,318,305,468,857,354,466,937,749,244,313,909,
374,891,814,662,135,269,523,308,693,808,908,474,662,403,351,950,526,101,653,
294,742,007,674,486,446,912,451,152,398,516,539,259,700,752,479,319,472,228,
136,392,509,647,840,366,969,986,264,648,945,838,272,501,441,536,588,722,204,
695,223,252,890,625,030,522,466,459,549,529,551,560,930,205,136,912,553,166,
357,788,509,455,764,211,954,285,858,354,214,750,864,563,051,462,425,659,900,
686,488,505,039,458,919,041,943,723,908,122,104,999,285,699,316,219,565,158,
422,191,693,066,456,979,124,849,300,312,716,466,104,139,160,501,455,446,458,
615,803,389,464,326,649,674,014,916,253,667,203,795,860,035,534,479,873,759,
703,750,974,226,801,295,365,442,618,869,713,989,224,546,054,394,929,619,000,
030,182,943,679,515,151,645,841,840,768,742,112,083,927,814,969,277,726,990,
878,951,938,915,321,490,982,205,303,128,694,075,553,671,241,435,947,980,746,
406,497,756,802,944,039,722,507,322,918,785,471,465,322,485,663,422,640,771,
960,002,195,057,555,941,395,227,621,336,257,821,340,301,121,956,924,066,306,
513,850,395,497,765,165,750,614,266,795,147,707,799,761,352,553,505,411,960,
169,616,310,995,807,054,300,018,872,924,159,103,620,035,071,088,770,077,856,
090,069,886,975,036,931,934,681,828,166,380,478,864,351,557,691,180,323,321,
550,637,360,148,420,720,775,281,518,237,905,578,517,140,169,866,897,506,187,
213,473,995,950,229,578,695,906,504,182,046,789,684,761,832,108,597,278,349,
296,634,925,746,477,943,067,738,156,707,008,145,217,799,853,607,690,361,273,
665,962,216,164,360,342,052,492,523,974,763,564,730,717,395,009,379,620,358,
299,106,998,985,361,159,199,947,960,557,713,207,349,438,618,601,747,859,484,
052,637,957,576,520,580,152,721,921,969,694,823,527,660,418,379,751,350,203,
486,590,514,770,756,450,264,549,803,967,522,595,933,760,886,483,218,630,827,
490,904,727,284,185,500,040,004,475,875,567,873,586,071,636,633,311,618,877,
607,824,443,639,777,263,068,200,557,228,530,368,622,960,349,627,751,191,132,
665,477,630,697,823,713,781,219,094,123,690,639,772,778,720,294,282,096,854,
877,826,738,743,746,788,806,986,657,109,736,374,875,959,817,902,986,421,490,
402,869,359,626,650,520,356,995,416,222,762,171,578,722,198,840,279,551,606,
140,423,949,989,778,824,004,820,055,731,369,437,516,789,083,659,742,064,593,
205,836,283,965,631,811,711,311,292,066,602,791,512,085,616,111,469,221,512,
757,766,101,142,879,572,947,000,152,275,426,875,177,668,973,351,890,739,555,
009,422,297,063,637,223,184,230,849,085,220,646,196,283,680,165,737,142,436,
341,394,480,892,216,938,171,293,768,845,293,855,901,580,583,842,187,280,809,
711,643,663,268,764,787,413,729,050,906,739,346,601,736,271,549,951,219,922,
533,483,245,821,944,207,684,794,602,016,332,150,435,760,888,286,834,012,381,
242,533,581,548,925,989,093,826,746,862,291,535,704,979,119,420,212,768,207,
711,723,425,348,368,504,833,346,644,540,011,060,061,325,361,423,282,786,072,
274,938,392,686,196,035,948,999,190,632,824,406,907,698,906,883,980,173,053,
920,155,520,465,915,047,415,959,214,293,719,386,641,838,144,429,776,260,176,
505,048,676,205,974,286,489,639,255,639,342,602,211,524,404,113,345,705,361,
040,497,774,427,372,445,111,146,821,632,435,377,099,443,976,201,284,615,307,
439,275,955,073,432,563,272,061,860,899,418,664,566,274,414,058,225,582,225,
863,198,082,195,810,153,528,420,637,106,446,385,715,763,629,029,170,547,667,
324,883,802,915,967,461,791,506,614,883,667,645,475,617,348,091,606,980,600,
327,415,106,131,871,667,194,891,658,911,115,138,588,315,536,856,431,848,154,
762,210,466,175,146,526,200,403,186,797,001,928,373,514,556,579,972,589,030,
273,545,686,522,143,319,456,904,804,951,052,589,810,267,415,383,846,443,870,
021,957,714,493,496,119,938,911,439,618,320,528,385,552,661,709,058,748,417,
526,874,775,529,071,344,810,262,427,497,465,940,578,112,440,653,904,013,105,
846,272,881,908,470,093,177,094,863,291,395,211,461,629,078,381,915,392,756,
799,083,150,973,414,600,099,754,561,673,692,786,069,128,566,240,550,599,296,
732,708,928,028,806,162,896,935,799,581,879,520,172,572,729,046,779,640,657,
994,256,414,148,893,536,969,407,013,641,433,951,090,553,524,985,912,036,947,
755,447,837,798,548,496,309,930,978,678,019,584,077,374,138,680,179,786,286,
404,547,085,074,960,867,382,837,840,548,966,074,504,716,501,892,875,787,710,
344,214,764,190,999,833,282,472,495,684,013,048,289,213,704,170,766,433,055,
882,941,606,023,255,709,387,989,439,929,984,034,209,238,556,164,954,688,834,
997,663,150,176,417,956,155,277,596,250,127,344,077,074,503,906,207,117,694,
620,912,726,101,750,188,768,498,422,865,678,724,728,242,322,587,932,461,179,
810,074,963,230,132,207,119,042,585,567,126,246,035,717,890,521,103,749,342,
522,259,241,645,124,231,708,528,428,886,123,883,571,377,098,362,752,382,427,
671,521,963,910,563,305,482,739,704,085,356,840,513,173,617,452,669,667,012,
091,160,586,636,860,334,705,671,358,675,516,642,548,412,340,447,596,631,592,
249,509,016,037,177,146,466,391,019,531,314,057,076,981,478,007,560,788,487,
212,984,049,621,079,920,966,367,773,437,596,155,559,099,161,430,920,173,034,
993,302,257,547,329,864,617,162,633,419,614,226,816,372,365,255,704,564,714,
729,755,006,858,007,743,444,016,338,849,122,650,447,767,223,228,998,804,178,
700,724,292,024,809,326,566,157,793,880,497,946,880,842,475,760,367,512,940,
808,902,704,271,094,680,401,468,593,879,038,580,941,507,939,231,321,784,211,
612,791,187,832,154,068,552,133,605,414,583,956,125,932,688,727,959,348,444,
935,757,837,873,215,317,137,412,770,545,177,294,225,907,549,407,871,908,556,
065,461,516,753,658,740,174,111,806,037,758,599,895,544,366,044,897,819,529,
555,649,185,820,039,090,010,175,242,279,649,483,121,520,043,000,079,373,879,
683,617,465,812,563,175,910,896,670,804,452,763,274,054,061,358,967,806,323,
575,787,069,156,025,915,087,706,075,495,573,410,627,810,310,910,157,142,292,
532,755,772,445,409,478,929,020,022,198,337,669,227,708,721,056,957,710,238,
405,917,894,893,399,018,174,924,681,999,098,493,464,468,801,694,963,728,928,
750,860,023,460,594,398,964,366,984,504,348,493,222,408,347,184,030,117,291,
585,118,310,702,631,321,677,737,741,733,242,267,614,571,273,726,884,527,196,
815,831,608,173,869,202,952,686,553,285,571,586,344,108,964,446,268,704,073,
625,903,596,264,270,186,447,293,005,747,865,466,104,309,759,197,029,924,487,
412,494,579,791,857,932,886,780,385,642,269,417,355,596,634,866,528,724,112,
498,065,617,078,242,888,590,948,415,304,117,165,995,739,519,300,290,690,896,
154,414,711,111,720,562,171,014,264,547,689,443,874,161,425,906,315,518,288,
909,842,503,955,141,059,908,150,788,394,321,716,415,205,067,494,212,344,271,
317,482,854,990,040,607,516,224,784,755,150,846,932,091,259,740,974,984,262,
073,682,678,750,852,159,206,595,566,053,648,600,107,610,851,798,206,887,073,
907,842,433,210,500,924,475,968,671,615,096,084,050,075,647,175,312,458,462,
967,249,253,365,464,785,596,082,373,810,121,119,405,286,804,075,067,583,164,
749,864,421,662,317,675,165,056,494,836,682,867,351,204,920,993,822,038,409,
817,965,808,574,943,145,084,695,239,097,459,535,748,868,332,242,599,201,325,
030,312,192,489,855,959,461,547,416,483,199,924,498,919,998,563,019,666,447,
445,934,343,303,691,082,324,447,399,206,338,914,690,909,563,723,181,112,040,
370,443,487,318,450,643,486,877,327,849,501,361,979,459,210,567,472,291,803,
212,933,912,238,942,685,524,160,436,870,294,544,231,152,102,720,048,131,151,
275,061,876,526,571,350,349,448,382,984,027,073,762,848,198,234,336,250,273,
142,140,367,799,832,721,418,963,400,523,600,187,009,344,483,476,585,837,339,
892,063,305,548,677,294,465,322,791,727,733,591,577,899,645,333,902,872,984,
693,733,177,740,837,730,103,457,019,247,284,433,805,324,031,894,654,827,228,
690,666,174,166,642,102,864,087,093,838,953,749,284,812,636,050,811,319,092,
117,057,756,841,050,965,598,901,269,732,133,602,448,787,842,933,085,640,958,
935,366,745,436,101,926,723,792,546,001,488,906,963,999,771,668,360,675,548,
834,606,036,186,544,939,350,792,024,286,698,315,473,294,340,084,982,414,306,
291,095,800,372,889,902,441,487,582,759,914,664,476,517,940,068,117,206,793,
726,362,579,375,505,890,241,027,503,269,054,208,756,570,899,935,120,538,841,
459,808,260,289,370,440,510,174,447,114,181,697,097,760,154,702,121,358,095,
965,752,273,255,254,491,898,027,202,564,382,459,953,340,675,982,134,877,898,
771,332,781,553,978,733,226,738,106,037,314,955,757,485,701,868,252,320,209,
992,416,944,403,564,733,955,150,719,451,489,267,880,032,602,923,926,713,229,
137,503,223,758,474,845,504,657,719,181,807,841,644,318,032,933,161,243,548,
399,419,179,216,233,972,303,055,026,459,254,538,988,661,402,003,177,418,941,
216,319,671,223,624,262,885,258,440,265,763,069,269,221,246,251,447,922,817,
457,709,924,317,497,682,447,008,233,423,868,986,661,917,554,687,477,891,094,
882,913,350,279,327,873,202,537,582,569,591,939,776,347,631,736,674,012,227,
548,625,228,618,436,290,516,574,587,122,352,126,247,347,020,965,054,748,916,
875,280,772,951,645,134,118,574,726,698,964,256,718,338,560,450,203,063,132,
641,780,048,980,705,596,997,793,942,972,120,226,175,596,673,868,139,406,989,
756,163,445,527,402,765,828,854,758,621,318,090,119,061,188,716,505,521,734,
466,012,711,794,919,054,471,408,382,517,522,546,583,931,037,689,472,884,551,
083,497,999,555,990,159,634,550,641,853,457,831,947,907,096,633,758,077,201,
106,838,287,512,535,061,843,477,035,373,134,090,943,223,638,006,428,180,694,
131,446,942,078,444,303,166,172,558,848,501,237,693,043,522,771,306,070,248,
278,361,645,254,873,720,810,462,611,426,940,872,251,680,829,552,472,438,674,
590,006,632,740,100,084,988,460,315,781,988,695,413,435,139,849,425,844,706,
782,185,518,972,980,991,108,301,313,354,624,747,513,029,381,418,053,221,184,
217,396,350,279,996,804,078,617,378,137,896,294,751,240,887,113,879,487,506,
947,339,318,331,236,243,784,481,524,815,057,041,281,066,900,331,825,881,934,
888,128,907,788,164,225,032,275,588,171,539,918,263,307,132,899,793,257,362,
210,803,148,423,984,764,089,280,610,350,402,422,818,072,758,388,043,128,754,
374,770,599,131,308,334,564,514,274,877,023,293,370,652,080,307,106,823,185,
717,519,040,822,385,836,653,910,759,894,559,347,273,000,458,429,122,839,758,
242,351,068,720,107,151,989,379,927,995,931,427,150,797,522,473,290,400,534,
599,335,963,819,127,034,458,766,778,627,406,927,076,573,025,867,225,407,700,
120,195,566,406,126,670,594,794,910,957,213,640,966,695,614,814,298,645,389,
685,372,543,921,924,649,794,191,996,250,198,545,060,819,237,414,783,142,184,
099,089,794,198,165,037,274,617,330,631,839,743,357,993,274,483,456,419,096,
359,497,972,770,425,119,844,216,852,783,482,197,270,811,870,183,997,769,064,
964,101,752,889,556,891,783,145,214,725,481,034,701,513,575,972,647,153,536,
929,100,257,012,019,859,604,698,163,420,427,613,059,577,052,638,119,787,898,
010,937,774,510,777,767,300,337,948,454,955,993,961,545,968,442,599,580,443,
948,849,954,568,936,755,110,921,786,134,911,767,316,528,356,913,620,716,672,
379,665,314,129,333,389,437,691,016,926,902,260,190,146,117,460,583,369,150,
096,365,534,157,222,206,574,420,849,926,208,643,481,222,375,926,493,301,727,
076,840,147,641,905,599,455,338,863,728,133,705,171,698,762,879,550,401,740,
992,607,535,687,907,549,186,153,054,239,500,189,970,309,237,010,160,983,408,
927,662,335,315,980,462,265,680,806,930,944,391,670,064,214,445,741,924,077,
479,182,235,724,545,951,004,108,137,381,297,928,567,995,238,980,903,333,916,
981,167,562,015,333,690,091,063,527,128,077,345,900,875,343,421,244,531,279,
625,336,981,769,256,723,714,318,917,001,532,186,987,581,362,872,263,305,596,
891,863,780,311,082,686,931,464,507,434,800,031,176,680,004,874,671,944,678,
261,100,686,927,942,621,247,320,308,232,097,931,038,474,502,695,641,326,657,
798,567,682,158,250,635,017,102,794,094,674,334,312,530,857,332,901,690,013,
341,714,158,306,734,842,268,565,249,419,454,098,904,327,666,238,198,268,241,
100,533,968,040,397,963,054,448,436,036,367,488,657,406,839,741,650,377,226,
324,245,466,127,490,111,572,225,993,900,264,383,186,172,485,711,521,017,767,
627,413,271,408,476,049,244,486,803,964,209,528,336,565,214,769,483,108,167,
164,826,975,098,704,925,257,605,638,153,884,245,557,708,894,385,285,919,508,
836,116,602,617,120,186,920,599,183,606,326,754,576,476,084,477,251,979,524,
053,021,071,313,189,518,098,827,097,587,191,933,125,530,545,849,762,325,390,
082,435,471,676,857,662,279,908,147,573,778,398,019,467,159,171,897,386,462,
529,827,776,658,006,706,455,953,180,596,917,656,573,753,039,244,593,772,874,
413,502,149,700,868,063,438,452,342,208,431,868,218,627,802,316,727,799,837,
214,626,146,000,531,277,712,267,258,846,223,465,215,014,362,622,417,660,913,
631,721,763,025,386,605,222,494,705,576,701,009,642,119,174,163,767,140,167,
701,697,034,583,644,302,272,311,762,363,151,289,170,097,304,031,093,279,124,
729,845,306,837,537,105,782,768,737,557,708,477,908,955,727,851,057,084,154,
491,982,170,820,000,823,138,623,588,070,292,129,272,397,830,666,749,376,230,
416,355,661,517,195,210,467,896,690,753,557,273,049,538,363,367,757,791,051,
039,757,430,953,584,403,904,391,402,530,338,494,235,577,113,363,978,221,538,
306,992,958,101,569,471,628,798,840,554,207,764,146,520,014,996,773,423,372,
513,271,317,364,443,119,076,776,716,424,115,506,347,724,298,090,131,730,391,
169,391,335,108,664,103,672,395,172,788,709,921,243,876,980,778,006,318,647,
200,705,223,828,103,682,274,721,852,861,448,854,407,000,346,575,112,612,509,
438,646,012,523,327,540,696,298,595,972,712,076,615,622,501,834,662,286,818,
389,889,198,487,473,689,681,129,206,915,536,204,809,655,351,376,022,640,623,
789,082,228,643,426,825,184,758,820,288,773,179,975,342,489,516,805,655,791,
728,151,155,292,710,363,484,271,938,717,077,796,241,182,318,476,106,387,657,
068,111,000,731,199,661,115,233,453,834,825,836,084,878,616,069,088,642,246,
419,599,761,367,771,831,267,750,671,257,174,709,925,024,320,441,208,162,825,
721,274,808,615,070,425,251,031,311,076,940,059,893,600,039,202,414,366,291,
650,816,437,543,678,651,061,640,646,278,252,507,751,944,871,505,746,231,450,
698,294,928,045,459,995,206,598,706,091,643,454,370,700,212,897,395,253,901,
140,437,593,683,799,799,759,085,720,844,062,284,184,584,204,407,927,462,295,
984,525,710,423,303,310,975,970,653,430,290,692,116,695,740,082,799,118,467,
144,471,436,053,085,610,221,118,568,861,968,866,780,784,148,987,091,340,859,
519,564,096,574,137,110,831,118,918,700,425,205,597,017,825,134,146,817,018,
388,524,690,426,901,369,604,569,874,616,193,700,658,668,130,702,080,305,183,
538,346,670,902,331,902,969,418,550,283,549,412,584,839,378,229,752,777,989,
284,243,797,660,622,951,616,645,805,486,844,637,230,264,099,955,127,236,573,
731,824,109,601,001,611,081,361,050,022,315,438,991,966,304,818,600,533,157,
852,694,402,236,143,075,354,768,511,206,568,040,184,556,003,582,027,339,210,
018,357,348,755,915,479,978,750,088,156,427,817,246,407,602,000,190,508,657,
502,270,837,821,518,612,029,949,242,353,108,062,794,563,719,812,214,129,067,
680,565,482,443,641,511,017,182,480,874,538,030,174,530,507,476,733,277,753,
268,872,371,217,903,150,867,998,979,631,451,401,267,333,570,413,078,439,780,
622,134,817,933,968,975,934,462,355,437,032,973,705,662,317,047,556,736,422,
350,788,984,557,862,230,496,059,829,467,996,530,978,944,054,294,535,797,325,
629,348,813,135,229,261,616,651,453,023,567,980,726,797,860,722,637,845,430,
140,092,809,186,248,989,514,467,848,051,644,214,295,709,941,538,443,860,446,
290,869,101,226,078,661,327,405,796,780,616,975,871,773,894,673,768,762,463,
013,908,958,697,417,412,285,229,872,918,068,366,160,683,685,585,642,899,263,
995,022,556,786,090,590,357,353,347,626,024,893,888,004,038,285,476,142,611,
972,594,141,712,949,180,834,558,271,128,118,599,822,582,835,524,748,292,152,
098,146,633,285,200,168,049,455,276,802,099,327,851,245,252,609,647,382,121,
159,601,355,326,047,866,707,981,645,490,105,323,737,164,375,159,493,916,200,
877,925,236,462,557,458,566,068,262,129,635,249,244,948,700,644,738,183,887,
352,798,016,351,882,329,617,846,212,658,158,091,803,407,057,966,263,076,073,
058,380,559,789,569,246,729,915,819,998,027,379,184,257,868,367,174,747,009,
608,421,281,698,878,569,483,237,904,147,503,295,957,236,578,143,452,236,820,
312,224,879,067,965,483,034,407,084,293,638,859,616,831,254,959,170,357,006,
443,339,962,820,940,794,756,429,339,723,097,014,252,494,364,748,375,908,743,
870,879,538,436,664,501,087,173,459,958,517,610,294,972,862,930,882,589,728,
798,022,421,969,386,346,373,642,320,322,356,475,650,463,915,769,108,647,530,
344,611,663,286,389,257,977,179,040,686,360,093,893,746,958,501,790,387,424,
518,560,136,122,132,139,536,456,997,879,709,658,047,650,380,019,412,195,073,
337,404,150,317,204,069,528,117,689,117,116,616,898,176,873,019,760,113,959,
761,058,576,663,980,984,073,784,233,783,266,697,896,766,625,775,714,113,258,
590,726,525,324,924,139,473,271,561,598,333,314,385,275,952,630,469,043,430,
280,223,177,087,359,683,726,366,828,219,318,217,391,989,630,424,556,919,118,
496,373,689,733,755,380,037,294,884,118,692,231,802,507,953,889,629,923,427,
402,877,479,095,186,916,870,019,794,139,071,291,954,892,138,746,260,422,842,
906,632,583,000,831,481,284,047,223,906,695,812,267,025,491,563,021,856,989,
512,234,709,164,896,338,529,502,823,537,999,106,819,587,631,206,060,775,083,
185,652,059,990,943,450,268,759,285,418,875,116,623,949,415,574,882,200,500,
471,482,843,642,215,807,133,546,138,772,663,171,969,964,408,819,082,737,622,
924,426,112,916,050,102,853,597,676,404,422,171,749,624,915,477,187,711,768,
781,434,231,349,313,027,461,486,733,041,235,431,084,230,038,419,009,351,955,
260,606,903,308,563,201,572,645,778,448,997,741,878,049,294,857,924,169,876,
913,441,117,739,360,200,839,580,759,186,576,105,843,197,502,182,406,617,501,
151,540,951,083,171,596,559,190,617,223,834,858,959,194,844,245,654,858,203,
209,614,342,000,588,839,001,915,986,700,123,898,901,901,295,296,626,950,964,
496,363,215,223,100,869,819,703,653,789,048,397,405,713,246,700,328,714,398,
899,891,900,047,817,307,266,401,731,062,628,194,601,894,153,909,817,693,574,
307,832,754,989,120,467,620,501,278,825,106,175,034,958,747,409,511,753,375,
894,923,699,674,194,269,919,755,215,793,440,991,948,200,528,025,246,371,869,
622,268,000,646,793,140,769,184,158,870,669,490,842,329,479,607,474,502,440,
259,117,367,310,904,429,094,397,759,957,655,448,976,696,894,530,312,148,855,
085,881,709,952,700,124,116,298,712,472,660,473,707,317,702,516,834,514,140,
000,533,923,009,595,271,555,811,075,975,909,147,629,930,259,834,182,241,541,
485,584,827,885,352,908,732,050,825,984,053,633,232,670,452,148,882,465,745,
342,273,688,315,889,033,870,808,391,023,412,514,959,117,411,950,806,089,605,
151,451,547,411,835,470,555,725,734,202,813,715,906,654,839,890,641,255,027,
464,041,651,384,330,196,630,971,717,575,944,396,806,106,066,443,530,346,861,
529,530,793,927,804,669,182,644,780,808,224,494,041,842,414,045,068,393,680,
654,488,722,218,282,480,756,975,923,286,119,469,860,343,237,732,277,100,276,
613,053,523,898,999,448,454,858,192,051,029,238,968,376,822,178,484,347,076,
877,512,522,264,027,427,247,688,873,318,847,804,002,100,479,052,101,941,487,
195,358,462,338,530,371,475,200,961,394,065,005,438,296,403,951,196,671,165,
531,563,164,747,531,510,456,867,977,035,940,512,294,582,391,976,071,169,534,
520,194,243,418,726,356,401,319,031,079,239,557,391,152,461,218,928,368,972,
091,570,778,969,405,571,633,271,762,016,903,061,514,036,914,046,874,989,025,
586,543,908,226,368,797,811,267,650,506,107,753,273,363,520,853,672,085,474,
584,584,730,617,368,431,851,075,759,850,504,801,181,306,510,031,624,718,312,
976,350,590,314,872,562,444,464,339,413,691,308,515,919,667,854,176,054,607,
435,103,989,645,426,978,015,070,091,389,633,738,715,800,462,783,422,323,746,
211,519,831,687,587,222,640,041,720,658,795,127,676,352,002,603,444,021,620,
481,788,272,591,797,431,600,686,159,749,436,598,658,620,317,440,920,349,259,
525,430,119,539,712,412,615,390,962,985,475,800,020,002,078,768,666,526,052,
647,178,373,894,832,934,238,536,600,711,294,365,005,954,865,077,323,825,119,
319,235,574,547,630,060,153,945,824,836,290,420,944,018,444,734,611,948,009,
889,984,040,422,700,885,107,755,924,935,633,108,626,883,222,586,677,895,225,
018,309,533,337,543,083,017,398,340,132,473,597,507,999,005,183,732,483,893,
500,156,202,503,636,955,897,513,759,116,538,743,133,337,519,309,164,049,763,
669,155,742,704,601,685,557,731,780,400,960,655,023,758,084,701,054,048,834,
538,531,964,598,099,322,562,845,479,701,852,379,729,007,312,876,857,749,451,
559,468,804,901,887,043,880,947,271,458,899,681,099,717,242,525,838,152,840,
349,697,704,638,163,271,672,067,015,005,452,430,063,155,699,832,431,962,960,
526,732,545,278,661,009,816,686,024,462,694,121,284,150,788,619,430,313,264,
390,092,049,054,217,903,943,758,141,123,668,357,673,718,616,769,325,085,129,
353,148,750,101,719,638,217,023,983,723,974,954,761,224,630,309,625,661,300,
769,011,459,976,456,135,107,586,437,907,530,845,126,346,657,792,702,187,266,
948,720,761,653,158,209,302,424,862,315,612,603,652,583,534,620,373,056,312,
407,198,731,881,430,740,470,612,385,414,155,546,389,728,178,423,736,548,297,
799,379,765,868,371,978,341,848,050,216,890,061,911,864,666,761,754,420,922,
412,858,066,397,753,020,916,447,418,730,100,334,713,140,711,385,270,556,616,
109,093,904,696,535,658,849,304,625,384,829,277,506,905,914,556,793,064,596,
654,119,271,749,216,264,225,743,761,228,317,324,262,430,457,614,785,646,692,
162,392,042,785,691,744,663,683,301,347,757,811,749,136,731,742,173,352,543,
503,763,374,363,936,951,788,585,891,374,046,188,986,386,480,823,181,194,336,
251,793,842,705,909,622,713,966,527,642,995,371,641,531,121,390,323,565,768,
399,086,308,022,343,530,973,775,666,687,615,872,562,048,463,669,542,443,276,
635,719,886,034,881,857,629,702,245,843,872,741,156,726,251,491,573,330,269,
487,019,815,091,064,912,910,258,740,696,911,394,174,991,234,886,775,989,635,
614,921,106,752,560,115,293,842,009,318,912,076,495,750,955,270,378,204,615,
928,385,047,529,597,861,043,287,454,216,386,307,126,686,652,044,627,035,353,
857,139,625,401,587,669,402,196,778,671,769,614,334,039,767,290,800,983,261,
029,430,090,313,415,251,290,053,751,349,777,577,974,546,277,821,806,374,480,
726,993,302,350,448,661,726,323,234,594,067,953,015,910,098,808,608,887,622,
904,771,420,954,143,408,921,398,124,924,487,236,927,473,912,829,679,568,629,
531,129,873,137,568,233,850,741,887,382,852,172,257,707,885,554,344,289,527,
946,957,224,710,771,409,746,614,265,884,116,286,488,728,133,826,738,743,183,
685,037,941,357,017,910,520,562,163,699,916,443,544,431,385,847,340,925,471,
239,673,352,940,212,046,616,546,755,527,195,035,438,939,687,904,011,147,307,
328,473,023,459,408,446,689,398,889,927,265,112,307,724,616,575,147,309,024,
742,161,618,861,753,810,362,955,928,471,239,972,822,633,578,207,677,586,814,
135,500,418,939,170,229,350,310,105,504,890,215,083,775,751,869,023,273,979,
056,679,021,310,992,014,620,583,486,834,494,513,159,527,740,688,211,725,857,
707,744,695,952,082,914,645,063,079,337,409,355,582,659,459,942,665,854,466,
244,832,809,084,788,929,175,741,014,734,685,556,862,011,214,499,472,119,792,
735,182,967,482,003,786,482,827,685,085,016,401,954,072,390,117,988,417,788,
112,680,373,059,403,192,604,891,577,258,909,239,827,299,226,688,542,140,764,
461,024,891,111,435,153,252,259,627,407,582,285,240,968,991,576,395,820,041,
129,759,563,522,061,977,445,372,406,281,572,187,383,533,388,358,657,341,345,
455,811,872,595,899,102,077,074,255,937,262,406,099,922,164,764,659,923,556,
214,230,373,776,398,165,764,831,674,890,091,524,051,398,844,484,386,331,654,
880,317,817,771,121,469,756,225,384,672,333,129,680,223,004,452,695,682,270,
388,887,472,038,694,553,239,163,767,244,543,453,622,720,406,325,369,277,048,
480,854,722,735,892,200,079,726,944,961,365,671,493,254,636,137,285,343,499,
332,471,684,598,530,184,264,750,106,368,352,712,319,976,365,537,907,437,154,
353,725,786,687,933,681,636,482,483,708,390,941,709,689,868,829,451,024,340,
735,173,882,087,945,160,475,707,763,507,679,026,424,920,638,712,165,822,429,
794,423,680,621,643,444,167,180,874,969,906,095,810,840,596,878,322,239,332,
730,219,222,526,231,019,244,017,694,388,601,945,149,064,966,343,590,586,311,
742,029,436,408,660,830,153,166,478,425,550,412,973,561,142,099,636,837,721,
459,126,927,613,984,634,497,277,723,592,630,331,818,698,358,922,157,217,002,
686,386,232,993,994,944,471,709,098,369,669,830,736,243,083,325,869,462,072,
347,611,343,165,487,260,221,636,173,412,091,280,930,207,756,039,355,674,840,
640,097,567,530,330,679,594,410,593,948,681,743,979,832,233,452,324,986,489,
645,633,510,143,991,185,886,180,416,511,452,675,940,505,903,079,926,767,827,
999,670,138,602,367,024,919,640,659,161,406,891,102,572,113,145,345,105,537,
109,840,638,440,912,887,663,428,669,024,570,260,178,984,149,512,319,421,770,
128,570,513,321,593,335,452,008,830,537,449,424,797,989,253,875,258,844,406,
898,513,137,061,085,727,749,920,875,074,448,116,133,787,223,619,977,277,538,
932,270,660,471,904,391,816,049,123,558,746,572,739,815,130,769,863,747,407,
248,777,108,904,562,036,255,284,571,232,194,920,462,889,948,945,102,197,747,
871,767,060,749,483,812,162,025,174,712,264,777,980,795,431,393,984,815,535,
748,978,882,809,168,666,009,824,487,630,486,210,050,582,096,208,646,530,269,
805,232,683,655,636,397,600,184,546,649,309,000,157,035,086,694,280,219,085,
966,944,080,034,634,933,794,963,757,066,323,002,800,965,412,689,690,228,016,
853,456,216,996,710,551,530,963,724,036,458,355,488,164,915,524,488,769,495,
819,152,299,243,364,464,620,877,212,424,221,924,036,553,719,036,485,400,409,
999,740,085,589,432,017,726,712,443,549,963,393,306,350,575,895,552,614,878,
610,499,737,542,075,867,311,585,446,649,224,946,199,622,491,331,030,550,191,
060,090,801,247,555,028,635,244,571,697,711,650,721,299,267,733,591,577,685,
877,376,416,119,726,628,312,592,856,923,060,257,300,764,720,007,899,620,371,
286,128,178,401,686,218,679,848,144,801,755,681,244,194,301,048,100,682,038,
482,866,878,396,589,820,618,574,281,263,877,367,141,603,272,626,457,559,937,
369,462,673,937,563,365,451,189,756,939,920,880,872,016,826,904,774,737,160,
155,001,468,058,177,100,446,644,239,313,508,396,157,751,913,562,394,635,704,
409,839,523,935,340,026,554,544,076,942,151,161,741,341,628,418,195,484,812,
742,677,260,187,512,852,478,323,081,600,419,968,518,207,939,399,506,915,053,
369,653,757,269,511,739,864,486,482,606,222,595,680,595,219,800,278,171,100,
967,505,945,344,004,096,378,434,404,936,541,022,364,700,842,063,867,067,362,
682,028,551,808,779,974,639,881,977,687,152,447,341,322,785,016,700,740,041,
627,386,846,343,893,325,740,135,379,919,461,220,744,998,379,113,440,223,876,
077,858,087,989,186,355,719,621,718,774,343,698,021,182,060,909,589,111,090,
133,007,913,530,226,489,415,604,847,795,373,372,573,895,733,442,671,227,324,
366,767,055,037,875,317,982,775,146,614,923,793,048,176,596,820,815,060,569,
451,089,529,587,006,089,107,541,654,415,448,327,825,058,521,548,453,448,911,
031,131,877,670,628,115,308,386,103,609,605,554,496,190,563,023,981,608,810,
108,165,670,488,037,819,654,046,375,307,695,376,453,297,951,434,102,652,512,
946,935,088,150,915,474,660,773,967,377,952,469,931,093,838,540,891,015,749,
522,571,793,034,373,222,988,652,592,415,230,615,425,790,481,316,454,659,020,
465,303,198,591,285,800,237,048,237,893,610,384,014,051,330,710,069,387,765,
453,005,933,766,241,343,400,266,606,198,205,919,000,893,850,098,965,183,258,
195,002,625,375,303,410,016,063,886,491,103,987,120,609,456,807,761,421,535,
720,087,410,125,983,207,386,320,692,138,018,051,720,471,425,723,825,157,352,
418,959,235,201,042,465,520,789,343,566,491,827,921,790,159,289,786,564,092,
235,828,132,072,744,817,179,031,396,021,996,824,498,354,642,854,801,418,673,
233,923,529,752,817,405,828,779,704,861,091,228,389,217,597,926,115,162,439,
045,224,901,637,717,493,854,514,292,472,372,842,497,321,897,835,020,881,277,
682,439,090,647,544,968,464,273,378,522,991,526,829,766,242,671,443,376,929,
808,119,231,119,638,000,122,387,598,034,947,708,634,651,180,724,228,355,540,
094,525,114,011,860,122,846,022,258,204,293,233,001,101,604,895,486,352,329,
121,360,055,258,822,228,885,254,153,225,057,449,048,969,476,907,561,767,671,
410,141,874,544,847,343,608,258,159,984,893,997,065,842,310,273,617,634,874,
779,056,051,123,224,574,319,551,772,234,976,264,916,270,669,657,966,295,201,
779,559,788,472,071,166,568,665,543,996,152,901,647,364,957,038,906,456,359,
669,628,785,679,772,494,213,538,680,720,049,069,606,152,077,877,688,882,071,
849,376,515,639,957,371,627,312,431,123,127,566,233,769,031,044,745,480,495,
291,294,650,251,821,973,812,276,737,946,832,541,543,140,358,244,040,862,286,
918,107,063,612,010,993,648,830,216,187,065,423,557,205,977,755,773,594,682,
573,969,339,505,083,795,325,134,652,974,023,410,509,466,196,541,440,648,397,
531,530,453,004,989,175,074,756,744,036,511,982,074,135,594,434,390,617,100,
228,286,593,198,894,635,891,799,480,921,750,048,269,510,742,916,781,498,288,
539,419,698,848,849,075,783,434,817,595,747,517,577,353,815,431,326,029,552,
286,532,598,655,348,962,483,893,922,550,999,640,898,871,443,017,871,359,123,
383,985,065,823,344,546,427,063,853,553,301,358,189,125,988,540,975,585,965,
682,277,188,298,727,831,968,561,515,298,631,981,967,606,761,447,002,317,261,
145,209,947,995,302,710,640,386,172,881,186,811,011,421,102,251,809,391,383,
562,151,179,500,806,512,124,987,163,966,146,268,136,509,139,425,464,964,241,
481,880,310,234,954,566,367,848,881,550,816,691,611,024,406,183,363,401,678,
671,192,971,412,604,512,543,412,077,213,671,132,283,031,055,028,884,227,938,
304,890,700,596,179,745,587,204,301,434,377,851,445,564,575,219,671,599,169,
934,988,560,621,990,427,474,470,137,315,714,180,913,633,577,956,513,308,201,
251,051,405,737,754,474,270,465,179,142,147,494,474,057,477,093,952,886,599,
487,072,149,644,407,945,420,392,980,014,240,226,339,676,288,780,355,783,333,
299,915,276,316,070,395,700,219,723,175,747,643,096,082,539,690,162,281,379,
519,493,641,728,802,298,912,994,142,758,980,981,109,486,421,203,183,436,512,
995,690,663,525,561,591,475,415,914,432,600,765,246,713,857,959,809,992,222,
207,884,163,521,328,984,738,840,332,470,473,391,193,946,155,227,919,481,351,
532,236,503,121,489,955,565,615,584,918,356,771,426,341,810,365,769,626,458,
866,260,245,468,740,600,607,227,126,372,958,041,713,084,573,839,371,188,311,
478,809,184,714,903,786,269,461,113,067,244,672,218,723,795,468,008,213,841,
859,247,795,792,143,641,057,261,172,651,169,627,788,110,314,367,689,486,407,
317,150,480,383,497,333,429,532,475,027,251,610,057,724,429,695,121,202,389,
036,061,847,930,010,885,884,949,342,693,758,179,343,618,675,462,090,053,109,
747,379,686,583,027,988,106,969,986,848,796,925,747,200,946,163,779,269,445,
411,783,550,710,480,031,980,814,511,033,616,766,141,648,978,179,225,678,804,
991,505,798,432,701,693,716,854,896,019,034,106,780,960,664,385,196,493,804,
729,447,127,429,771,122,483,868,987,421,808,655,185,642,879,568,101,673,522,
836,424,216,101,652,682,652,518,089,076,859,727,518,331,872,306,208,673,939,
530,522,424,625,205,691,906,234,219,596,782,135,730,558,143,559,106,339,906,
734,619,110,855,069,739,818,190,433,104,947,932,062,931,451,299,726,985,460,
874,913,236,725,126,899,624,699,656,997,935,366,828,877,895,223,922,148,701,
688,195,570,948,353,793,717,959,125,263,206,231,251,852,156,117,690,790,688,
374,971,619,583,289,076,236,525,330,079,248,191,293,533,281,194,292,298,260,
144,421,516,044,628,201,539,040,311,875,191,410,726,680,376,312,137,622,379,
179,287,487,940,910,177,033,069,927,840,862,076,821,622,630,138,308,990,159,
574,259,748,524,733,209,606,031,931,244,017,571,160,217,704,972,117,765,139,
960,942,970,151,148,722,847,520,340,668,006,383,695,687,465,179,310,352,269,
855,374,551,320,835,805,200,315,460,592,236,835,319,292,759,681,320,943,776,
627,431,996,200,306,445,515,668,149,284,334,881,565,424,686,906,186,907,404,
392,316,237,294,192,903,710,302,848,243,275,274,791,748,814,830,116,850,580,
985,738,183,127,335,332,920,214,361,170,366,455,759,068,593,147,889,907,967,
530,597,358,367,289,519,899,745,922,709,923,182,229,499,658,149,925,080,343,
410,152,277,084,859,646,360,693,137,653,519,667,995,355,869,470,763,886,076,
593,293,112,296,508,128,206,116,249,965,660,178,582,307,068,717,399,606,321,
899,391,438,297,656,002,024,462,190,545,556,433,325,815,832,939,309,393,878,
040,780,525,106,937,089,465,895,115,287,988,891,748,136,095,822,109,482,650,
379,967,266,807,265,792,267,492,899,837,052,617,156,658,130,955,506,246,041,
940,126,172,101,019,957,324,586,970,479,885,483,732,781,463,242,946,921,374,
334,931,914,671,068,518,952,305,074,297,758,289,729,991,674,742,129,397,828,
966,899,306,976,352,326,790,444,508,355,325,922,034,963,794,082,079,871,099,
084,587,369,449,789,443,829,980,295,896,600,885,301,804,316,156,269,680,028,
876,890,828,309,129,078,703,780,615,661,108,588,522,064,789,607,504,588,334,
910,954,058,116,150,178,554,939,565,817,260,135,083,425,530,156,624,124,011,
712,165,282,707,249,388,448,090,784,476,430,920,015,072,846,800,363,290,555,
913,495,253,852,977,819,476,721,675,645,971,675,995,959,516,355,920,724,245,
718,121,051,500,541,569,258,349,417,580,157,341,169,230,934,020,422,636,841,
460,117,530,377,836,728,801,998,910,247,637,637,844,673,298,446,909,681,119,
959,236,754,069,076,655,156,296,640,880,265,458,908,115,207,381,989,515,779,
907,512,138,893,445,302,963,061,956,095,478,246,389,405,189,885,419,144,648,
022,887,370,694,380,833,427,083,868,140,829,074,625,881,205,444,002,445,974,
090,758,614,833,553,973,729,970,207,891,421,995,572,677,691,549,032,838,919,
099,911,373,365,297,352,449,140,122,622,130,841,556,434,943,051,826,356,872,
880,743,776,015,852,988,089,199,919,154,514,609,192,665,350,273,318,367,330,
736,864,496,012,579,465,166,082,079,560,864,882,410,593,568,909,408,464,772,
453,931,093,870,815,703,722,227,992,365,019,645,826,284,797,017,961,195,849,
016,120,358,793,128,546,233,366,134,216,017,683,447,833,645,138,504,500,403,
737,529,757,570,021,546,956,651,172,295,047,914,156,851,024,702,016,853,298,
867,014,466,814,555,174,800,083,648,608,670,914,303,338,505,828,229,952,893,
357,169,915,234,013,814,125,800,952,175,845,811,710,829,835,270,259,590,507,
358,471,842,625,521,286,130,467,445,189,707,386,083,734,657,898,197,261,640,
246,899,464,549,751,680,305,771,369,464,012,950,877,490,446,698,790,900,192,
150,355,622,406,227,921,234,028,761,631,239,072,718,444,213,812,020,727,626,
589,669,906,000,199,897,094,393,220,766,231,370,312,132,119,987,539,164,868,
003,307,776,005,179,699,589,848,940,188,847,312,756,034,896,418,795,913,254,
433,762,598,485,838,766,504,944,001,334,636,889,800,410,565,092,323,727,030,
275,068,205,475,557,939,222,120,390,057,062,022,593,859,624,300,931,743,642,
533,094,144,807,140,786,660,870,284,576,116,737,321,822,198,487,054,174,879,
002,470,036,039,555,065,872,588,495,923,229,797,045,416,843,845,463,821,097,
156,963,347,450,495,974,285,526,472,478,682,427,541,794,208,677,382,376,248,
801,031,570,967,228,245,254,903,593,172,237,431,531,347,808,210,102,119,041,
146,659,414,257,425,571,623,879,304,049,008,015,491,103,600,846,287,049,196,
555,310,299,832,514,693,233,841,675,211,980,701,613,857,046,985,542,297,527,
028,963,983,190,440,700,508,513,034,717,549,332,610,445,094,679,117,174,751,
989,559,002,941,510,891,026,816,291,220,137,023,636,650,649,039,484,015,172,
449,056,352,740,286,453,943,626,321,421,131,391,589,400,378,187,633,422,124,
143,968,513,337,017,795,441,199,708,573,188,621,696,789,801,968,918,928,619,
256,543,100,366,744,070,072,935,178,259,001,391,201,287,957,685,762,597,966,
281,797,508,868,056,168,676,616,945,560,480,514,864,234,581,835,707,295,459,
092,625,869,783,493,002,166,093,687,810,799,094,970,429,607,837,992,040,939,
799,789,812,212,906,954,175,693,956,026,883,710,290,437,408,260,945,955,950,
166,822,659,663,466,602,770,670,939,021,638,378,780,495,764,487,082,165,677,
627,621,802,088,617,852,005,058,592,347,073,183,361,876,331,305,447,999,900,
491,960,142,041,302,745,899,701,810,712,404,419,720,423,502,367,385,662,976,
805,732,703,110,891,251,924,528,359,881,167,221,018,464,579,798,145,551,407,
492,261,531,980,709,930,755,180,117,277,870,045,411,245,328,625,058,945,416,
094,743,364,031,847,902,097,501,083,076,910,016,692,759,282,827,201,453,263,
707,184,436,702,189,592,007,250,835,588,051,454,297,010,500,367,507,732,831,
240,511,445,004,551,930,341,651,594,462,044,977,805,718,530,728,994,381,825,
613,341,064,804,949,031,397,049,598,365,406,154,404,702,244,834,539,059,645,
473,846,236,056,648,708,276,800,041,957,660,807,519,794,323,781,077,048,147,
062,565,590,617,306,333,224,845,969,923,491,368,860,764,824,731,754,686,996,
951,863,051,706,432,251,653,928,391,903,547,568,660,724,900,934,174,970,576,
404,582,278,146,111,138,905,722,356,202,306,357,252,266,065,253,219,143,724,
710,808,940,794,933,815,197,002,972,705,200,596,635,140,325,346,879,758,532,
466,922,919,074,495,892,276,982,876,684,161,515,194,799,026,865,956,888,531,
758,861,641,886,885,770,365,617,606,874,477,412,739,288,607,696,780,872,455,
256,165,057,443,283,163,195,448,715,533,746,941,736,298,706,430,410,365,843,
049,311,304,436,060,265,533,574,949,076,187,477,386,435,836,943,861,703,712,
244,205,409,571,810,439,451,477,799,034,193,871,496,371,733,705,068,883,988,
701,401,202,162,767,827,653,041,680,839,707,607,497,535,145,836,441,004,517,
004,777,582,954,202,344,857,243,318,736,071,226,677,056,139,216,852,709,778,
761,763,432,829,008,003,999,985,685,765,296,933,199,042,282,591,652,868,323,
610,566,458,772,705,004,561,568,895,745,671,380,825,927,658,766,603,310,895,
868,526,228,642,075,930,775,629,484,680,274,273,237,374,413,059,152,830,257,
784,336,385,273,949,978,522,458,020,786,083,439,077,125,273,043,229,863,378,
520,146,778,939,517,039,716,828,424,311,705,782,534,585,680,418,464,196,313,
216,770,533,748,691,437,658,571,416,238,654,807,910,923,636,607,355,624,309,
440,984,428,811,147,651,322,700,112,982,969,381,149,848,199,022,575,904,881,
393,482,954,938,343,780,226,140,036,258,476,945,766,261,962,032,797,453,468,
734,950,438,230,299,243,323,199,670,702,932,045,332,929,249,539,046,202,378,
163,480,851,438,165,732,685,728,115,083,023,535,723,457,845,194,475,850,989,
488,829,728,498,141,485,034,221,269,058,958,901,447,555,286,595,124,512,966,
084,498,391,965,638,284,261,639,674,092,098,231,232,035,546,753,215,963,946,
179,931,961,086,573,605,165,560,264,714,407,296,926,124,747,365,305,589,141,
880,928,932,275,793,919,330,228,575,871,608,126,612,402,389,010,814,453,546,
667,977,623,997,760,558,367,132,947,158,472,777,319,534,770,292,950,384,407,
077,985,770,362,906,145,764,194,894,565,662,490,948,539,037,488,955,695,951,
832,135,780,894,063,327,160,849,878,525,254,898,688,372,206,106,206,762,297,
431,731,521,017,783,127,143,516,340,626,011,842,713,333,799,348,459,432,037,
018,169,493,367,595,842,182,575,373,721,776,366,333,525,264,690,530,120,712,
035,633,120,265,374,417,008,158,420,216,850,951,335,622,602,324,216,523,372,
012,550,064,664,744,228,041,914,443,039,522,986,518,982,226,112,358,174,326,
875,260,412,878,838,915,204,968,740,220,823,374,790,793,795,431,021,967,087,
041,784,850,959,122,215,326,270,638,632,198,910,647,521,735,859,573,789,406,
853,508,607,079,300,124,537,264,675,564,153,004,143,094,779,514,774,725,348,
929,933,687,261,532,973,856,688,847,266,015,847,411,438,324,375,697,289,154,
163,932,544,315,468,581,124,389,473,639,576,368,575,181,474,756,828,470,125,
076,742,133,132,140,507,614,503,712,821,989,149,626,248,027,021,806,558,385,
924,114,598,916,574,104,571,533,364,140,876,785,691,476,860,669,015,459,461,
251,676,764,094,830,349,383,912,667,267,174,048,028,330,236,288,005,771,938,
471,710,041,315,453,208,383,253,807,389,450,652,578,757,839,795,349,162,216,
064,445,399,500,222,007,903,598,590,658,449,922,163,798,116,506,879,318,169,
833,638,535,669,290,439,384,367,621,546,558,860,660,736,621,037,725,513,220,
250,395,773,365,888,798,988,127,321,135,866,527,993,663,142,839,079,983,725,
448,568,857,376,188,472,297,799,229,428,182,775,314,439,427,855,510,835,742,
465,413,224,718,932,272,371,952,574,328,745,872,689,139,768,185,869,856,461,
054,808,760,268,671,020,153,701,254,205,111,403,461,659,872,999,595,893,031,
457,188,433,308,295,224,582,378,367,570,342,950,138,358,925,167,150,036,198,
951,017,214,133,708,958,783,494,214,092,564,379,324,799,968,803,108,585,408,
505,567,514,049,282,945,052,098,091,071,358,332,622,644,435,261,157,653,698,
249,787,703,554,795,677,723,843,536,678,871,780,407,255,823,034,999,961,521,
994,450,009,101,225,053,370,160,918,577,120,646,031,464,076,658,337,071,663,
943,431,928,506,664,350,830,873,264,576,487,331,414,629,752,849,147,414,248,
224,719,863,664,525,588,777,778,773,979,343,717,003,130,653,763,009,664,875,
530,734,036,204,624,024,503,909,368,616,470,899,411,056,959,584,439,618,003,
371,171,933,514,941,877,954,489,785,876,157,045,746,727,010,479,564,568,207,
050,909,563,275,225,551,560,334,656,971,869,334,681,730,980,328,281,419,269,
998,730,214,925,925,455,615,066,767,057,898,431,012,495,518,905,044,414,476,
292,342,134,188,420,635,620,726,672,387,700,909,667,273,175,830,884,782,167,
521,459,382,546,540,328,503,445,493,959,173,886,922,830,140,803,829,218,428,
710,820,849,926,937,923,963,992,401,748,597,249,613,508,108,717,993,434,096,
431,624,706,782,839,530,110,716,340,795,272,206,576,289,772,326,184,441,314,
834,939,421,311,434,156,222,567,596,587,885,480,527,080,815,847,991,643,092,
587,297,463,629,206,812,830,047,982,651,059,865,453,944,299,473,977,060,683,
980,459,298,901,091,760,499,318,662,845,119,049,976,183,237,653,833,628,278,
093,725,195,172,837,463,455,718,991,650,991,035,953,775,693,249,053,446,802,
819,223,300,945,428,963,883,237,457,979,213,455,171,761,594,219,956,048,072,
972,402,875,252,134,715,788,838,240,777,214,157,687,777,388,618,648,295,957,
169,789,899,191,667,674,255,625,936,166,734,545,882,864,347,897,512,223,920,
021,657,086,633,828,705,240,538,131,269,092,393,466,368,529,785,388,897,600,
157,738,570,218,834,507,386,140,823,653,274,532,144,765,785,792,942,476,117,
113,428,804,976,647,191,455,266,504,158,871,098,881,111,065,318,685,040,070,
511,547,006,060,810,104,198,637,095,224,239,718,339,638,715,585,556,669,976,
194,744,628,011,183,997,812,608,536,000,874,448,761,070,371,185,050,765,553,
876,435,239,504,810,058,853,866,521,496,928,869,848,810,701,097,202,084,391,
158,427,685,150,228,664,033,170,003,214,076,459,856,127,021,279,192,599,265,
959,576,464,772,691,356,314,466,571,950,609,452,376,238,622,387,191,095,839,
433,035,429,199,036,063,387,054,732,416,547,010,574,584,867,658,838,996,493,
778,704,397,559,164,964,920,585,918,774,176,451,586,383,162,927,656,334,455,
334,841,130,096,005,128,315,704,540,683,119,256,411,130,059,467,224,892,951,
631,367,182,819,494,740,387,309,331,102,149,707,375,438,677,698,067,996,356,
815,546,366,696,222,370,545,182,306,837,425,729,600,430,568,564,634,365,900,
839,059,254,631,629,386,883,306,241,910,702,317,357,664,726,452,297,890,534,
283,652,688,986,551,795,853,995,495,433,761,722,754,602,079,815,820,728,694,
222,353,883,655,655,903,094,933,727,110,507,379,840,758,428,905,975,673,881,
364,350,586,670,124,940,671,915,788,223,630,295,741,854,731,739,763,553,053,
064,976,688,355,271,519,252,338,911,481,573,247,860,027,458,062,037,410,427,
932,152,380,852,855,211,705,613,729,277,441,781,418,419,715,843,047,140,552,
775,373,808,433,911,012,669,650,255,625,618,455,534,837,792,802,608,789,909,
774,384,810,139,040,916,583,574,683,364,761,449,367,749,215,326,056,107,503,
487,223,298,864,329,204,571,302,373,905,100,824,789,280,219,812,159,981,923,
593,637,425,071,890,848,243,772,390,584,427,733,916,493,035,801,149,195,294,
102,189,528,742,066,843,197,010,565,646,506,624,367,779,113,963,082,922,339,
613,817,527,116,392,211,802,959,414,291,580,008,792,215,709,735,707,612,949,
928,454,144,341,514,480,334,876,803,899,158,544,783,283,921,326,853,457,435,
537,725,465,920,198,326,998,930,278,487,826,051,174,503,453,400,308,560,286,
395,569,465,487,487,886,398,793,555,988,917,683,231,355,568,493,017,922,568,
866,954,315,062,742,675,155,469,160,142,125,235,825,483,366,980,646,129,959,
531,113,003,134,601,678,875,802,488,773,571,806,476,583,831,074,467,058,454,
447,411,871,355,379,599,985,633,237,302,338,794,181,596,316,208,426,975,571,
858,764,066,398,336,111,496,160,796,093,400,054,017,727,951,352,333,276,410,
205,538,992,230,113,424,599,025,632,905,161,345,940,344,086,433,574,490,485,
393,637,315,265,869,731,027,886,691,553,561,227,398,535,552,939,198,424,690,
943,189,976,308,576,961,015,602,471,822,833,277,577,363,957,163,101,128,433,
156,038,675,941,658,141,974,259,452,620,342,652,994,395,293,997,635,184,978,
118,679,366,929,823,193,916,167,678,105,267,554,744,233,323,805,100,420,789,
186,288,608,432,951,381,987,705,341,249,442,120,337,016,707,537,895,858,396,
400,541,742,948,272,479,644,583,515,088,235,321,533,862,283,574,648,837,654,
506,477,682,269,543,622,385,489,475,352,603,920,556,976,399,091,204,662,358,
612,617,700,856,040,723,126,412,077,224,262,526,875,359,290,148,879,168,764,
116,654,754,140,780,781,314,051,649,364,827,251,292,362,850,837,707,859,304,
151,860,891,228,622,853,028,462,982,690,474,835,560,347,082,594,162,891,385,
670,314,604,466,857,009,652,171,105,904,652,176,562,787,629,582,875,048,420,
933,586,459,308,757,183,607,505,905,847,111,832,120,959,892,062,482,206,354,
190,894,467,735,628,599,001,283,273,566,367,466,614,601,328,958,983,857,378,
789,781,855,426,970,045,005,325,563,276,867,765,985,440,970,760,893,494,972,
751,602,780,815,132,220,569,987,929,009,246,391,731,669,683,234,820,398,642,
365,693,677,726,039,801,828,747,046,103,362,537,608,960,347,711,609,364,202,
479,816,247,276,676,748,061,643,974,188,150,976,758,382,086,916,745,339,383,
446,109,102,252,346,842,340,444,140,963,405,020,246,786,830,449,162,498,571,
522,095,354,959,109,455,729,260,354,714,557,483,809,585,913,439,882,077,577,
166,561,186,768,406,124,038,186,966,112,624,395,962,139,692,446,980,464,588,
860,323,598,670,958,312,570,924,735,514,053,228,151,643,934,852,062,142,980,
812,194,112,218,289,278,540,226,223,744,448,264,050,860,886,613,516,274,024,
383,457,323,329,660,146,690,048,978,665,876,765,606,618,666,870,988,130,088,
733,812,085,068,533,580,890,379,487,709,850,991,012,056,453,162,126,319,710,
994,491,050,375,407,688,662,448,851,128,290,718,353,377,253,797,990,404,154,
238,872,359,664,643,244,623,368,047,397,759,765,845,494,987,230,962,314,926,
869,814,616,617,062,588,446,217,681,689,559,994,083,333,351,044,231,336,908,
114,642,390,732,972,159,244,791,406,694,895,339,661,948,869,385,643,655,750,
030,024,747,603,552,759,875,296,982,718,220,639,620,624,033,147,114,722,520,
532,652,984,127,707,254,339,788,464,511,527,367,890,181,568,477,297,683,854,
927,343,060,192,068,336,607,992,542,079,630,818,486,165,680,624,033,781,826,
250,967,556,431,927,244,934,249,378,214,482,622,133,600,614,974,786,402,745,
796,502,111,083,594,227,301,551,686,781,760,127,414,854,944,057,598,875,878,
228,147,751,497,579,091,959,200,383,619,101,167,296,929,245,124,125,866,254,
004,192,689,075,571,554,246,649,806,789,649,776,255,842,320,412,706,544,529,
488,909,745,224,375,708,204,205,301,369,210,770,240,302,081,442,680,210,374,
370,853,053,775,374,208,892,080,008,583,017,168,497,396,038,122,781,037,883,
948,025,857,506,313,719,293,768,368,167,520,729,012,060,681,721,466,311,919,
261,570,679,241,482,052,465,939,261,286,640,017,554,148,239,548,902,425,840,
696,163,509,582,450,207,589,651,512,247,977,015,068,295,934,081,037,164,643,
798,767,647,286,170,798,175,487,184,004,200,364,781,860,095,441,276,363,430,
155,002,057,548,838,417,578,493,013,169,368,972,643,137,152,359,126,309,639,
126,073,614,571,666,887,557,395,730,369,702,020,010,359,004,893,774,631,261,
583,540,024,221,023,240,952,749,026,516,729,344,086,617,371,215,098,351,980,
373,883,870,257,520,335,927,200,358,947,583,639,117,733,660,357,413,292,720,
420,586,392,612,880,733,151,720,602,769,902,082,384,621,948,489,879,358,179,
406,587,693,505,668,737,191,055,528,831,462,479,378,417,129,847,045,352,936,
283,605,905,077,155,645,078,423,055,790,520,334,061,715,219,827,418,587,586,
566,061,168,167,748,008,306,513,128,451,821,289,152,915,661,493,392,613,146,
584,923,566,592,599,508,890,899,253,256,330,051,519,243,155,111,259,817,007,
203,914,719,447,982,415,595,723,134,644,400,981,315,055,815,970,579,116,788,
959,901,564,091,136,996,521,567,542,793,893,160,854,686,424,136,867,205,797,
647,439,635,819,673,291,761,148,941,490,661,149,550,199,172,319,223,197,055,
613,560,211,962,508,284,189,815,512,829,321,034,793,264,114,309,860,800,532,
366,180,582,668,956,609,993,189,070,913,461,698,536,472,896,139,638,583,419,
251,165,208,456,929,953,437,551,922,578,035,209,431,946,900,092,702,214,336,
248,679,982,055,010,840,190,774,081,298,380,532,533,083,601,500,020,992,730,
868,386,609,979,970,871,745,784,990,642,031,905,634,000,470,124,535,062,483,
490,707,612,580,817,995,792,558,086,269,594,307,000,533,434,087,856,270,471,
546,387,526,100,895,810,830,355,600,509,523,318,682,184,247,526,004,507,922,
878,776,053,796,844,237,010,268,698,150,928,470,366,911,261,505,110,485,066,
405,101,311,008,971,308,243,412,994,150,969,202,860,648,621,283,231,786,076,
952,839,561,599,409,810,033,984,421,314,700,560,757,672,715,092,184,316,029,
582,345,220,387,042,073,163,049,095,087,808,390,830,791,866,059,452,676,625,
028,778,410,795,535,979,348,738,283,283,348,644,377,166,285,363,106,712,734,
576,566,470,430,498,574,468,744,984,657,212,666,790,230,815,485,525,901,230,
609,926,250,526,654,534,074,156,990,839,260,099,663,163,219,662,790,189,860,
623,354,085,136,371,082,572,358,853,653,060,896,847,010,645,933,433,779,274,
105,264,904,439,215,968,210,434,524,177,962,350,481,478,168,617,354,193,933,
798,453,273,844,677,811,745,346,316,518,286,536,284,061,572,158,232,265,680,
652,574,253,549,425,451,572,188,024,596,519,436,287,661,874,065,887,559,664,
535,507,164,865,431,706,512,437,935,046,059,563,828,107,583,729,387,924,362,
105,644,591,266,930,331,907,473,624,031,236,148,371,640,011,235,230,746,490,
899,609,567,039,711,530,698,780,657,010,880,299,521,983,166,780,747,423,563,
513,702,850,235,527,746,717,487,863,301,156,340,062,376,957,121,031,906,166,
657,271,933,506,182,968,962,192,518,493,360,424,677,226,931,085,238,074,487,
781,863,837,111,457,441,027,188,254,438,813,427,766,656,788,546,228,720,424,
772,888,005,758,745,566,219,959,061,546,405,272,611,983,855,243,000,528,405,
991,436,109,133,824,592,467,881,544,834,050,574,257,529,522,547,388,056,192,
617,384,715,324,798,143,441,811,310,023,000,986,256,788,105,881,741,881,108,
131,968,272,725,666,047,520,275,759,528,077,463,817,118,150,314,584,323,418,
622,671,762,040,069,824,537,959,007,564,311,216,323,215,943,923,276,966,913,
856,191,972,448,969,052,275,383,131,252,151,344,190,868,174,730,787,298,187,
415,788,236,302,536,725,541,519,122,998,277,953,949,997,089,856,239,413,823,
303,225,320,991,939,241,897,907,755,157,134,122,057,464,904,871,440,815,661,
228,808,436,419,627,044,387,817,651,809,773,274,692,174,629,520,333,242,366,
594,217,203,578,799,676,412,064,076,480,911,639,190,670,291,521,709,956,050,
759,135,654,353,329,005,862,510,098,678,600,728,594,163,292,881,556,116,476,
586,747,358,838,741,998,773,835,400,007,533,732,422,270,419,734,505,640,252,
101,257,585,511,536,554,260,380,170,780,010,951,591,314,206,406,864,302,523,
292,645,115,025,992,871,865,245,859,003,158,011,325,047,366,411,651,996,690,
377,449,306,709,060,669,316,046,117,898,596,360,451,287,365,820,122,155,743,
611,270,332,983,669,739,432,058,669,750,377,348,027,336,594,819,770,173,161,
399,442,404,011,177,701,993,576,767,328,798,869,416,387,694,528,196,035,129,
268,388,902,949,518,785,719,708,990,536,431,923,926,593,684,354,768,208,385,
535,536,690,312,403,529,888,603,740,324,852,168,702,104,535,133,448,566,004,
077,817,991,617,868,555,827,257,096,806,308,798,783,356,291,143,622,313,201,
271,222,171,493,528,207,259,664,342,210,366,578,665,931,067,583,088,952,596,
191,950,497,052,672,890,898,137,266,148,898,193,147,979,990,963,719,359,108,
163,855,352,927,584,816,789,255,247,977,331,500,713,199,947,537,112,224,235,
917,440,146,945,789,151,764,603,069,435,212,544,726,961,302,371,374,040,736,
978,206,734,735,227,044,015,020,853,661,835,845,859,755,043,047,607,852,744,
674,023,159,858,615,219,298,214,309,652,981,679,751,381,169,025,830,957,337,
058,655,607,371,144,705,351,836,291,911,193,993,962,472,847,257,715,936,285,
327,561,908,399,495,305,741,985,066,423,824,462,099,598,304,812,897,508,984,
393,945,753,599,005,203,226,752,677,149,983,683,915,889,216,761,978,741,636,
213,108,961,877,563,655,394,541,578,315,520,909,912,109,886,727,485,851,485,
108,695,147,389,353,462,049,171,751,246,621,237,788,099,337,738,040,666,587,
181,990,578,786,086,204,068,213,248,064,454,496,015,652,711,306,024,260,398,
880,803,667,920,406,039,674,358,582,686,175,038,454,928,867,958,412,984,136,
100,184,436,386,416,532,469,318,057,247,787,776,264,951,854,255,255,119,940,
166,864,530,479,752,575,713,965,109,920,858,604,012,858,486,549,908,086,037,
488,960,565,973,298,250,667,142,077,960,264,216,165,562,099,278,398,792,206,
632,020,778,733,214,745,511,052,379,738,578,105,150,146,833,525,728,864,791,
222,302,804,555,738,229,198,735,744,938,039,331,627,544,087,686,391,720,314,
919,909,169,027,417,872,719,205,946,344,115,058,620,009,036,183,585,012,487,
551,280,106,489,175,434,712,686,751,554,412,739,706,911,829,354,468,277,514,
605,331,642,078,663,489,993,100,272,100,755,080,577,479,268,216,298,334,505,
803,974,290,386,261,952,837,297,588,356,266,972,478,553,533,300,076,368,780,
611,079,134,360,665,957,659,463,181,570,155,069,251,345,656,840,103,280,153,
400,513,480,232,953,709,844,735,442,465,503,384,294,717,188,961,090,382,493,
743,292,370,389,539,848,138,070,106,091,757,965,718,906,729,354,866,504,127,
034,582,810,551,058,360,460,570,497,403,240,563,938,821,843,766,915,500,183,
291,431,051,976,797,137,684,576,316,019,906,721,215,831,884,082,222,874,595,
803,112,494,706,853,468,123,876,781,491,531,120,238,500,147,267,439,759,566,
473,271,720,412,865,344,597,291,843,274,414,959,113,236,843,901,461,722,630,
695,267,596,395,055,583,106,450,725,120,318,554,716,057,961,111,621,854,420,
702,070,729,464,534,268,972,681,767,172,546,177,311,599,405,063,608,325,952,
898,655,908,037,042,186,530,015,622,609,263,256,499,730,606,811,197,627,674,
863,506,326,663,667,759,829,939,294,363,318,474,325,266,948,022,725,044,024,
072,581,534,479,461,884,754,947,147,969,364,556,063,170,748,923,462,337,254,
474,542,126,809,222,634,932,640,546,432,274,012,713,831,641,141,707,887,020,
411,012,531,403,704,379,030,774,394,629,695,472,837,447,916,457,868,029,525,
671,720,365,375,513,869,469,195,880,076,702,458,520,265,892,114,240,598,669,
231,577,798,040,494,129,794,541,850,088,792,971,948,802,182,349,059,489,544,
511,303,849,074,813,500,488,568,997,547,729,267,686,287,212,242,053,871,029,
859,845,775,774,732,226,282,900,772,637,068,953,891,038,588,546,314,516,144,
399,749,906,938,458,742,683,156,829,180,866,297,696,560,151,204,109,706,842,
616,253,241,538,583,406,336,834,743,043,945,337,660,975,164,987,656,675,360,
897,214,638,049,304,735,442,190,820,426,482,245,579,893,890,617,255,186,188,
219,207,697,255,036,437,852,445,394,937,110,658,887,280,585,372,311,099,434,
959,565,953,950,186,899,969,126,359,547,361,266,707,589,938,655,102,327,025,
371,082,962,468,419,290,598,153,592,864,774,811,908,598,947,183,140,908,203,
741,282,575,016,617,869,744,017,527,137,984,607,145,235,545,351,960,034,955,
905,817,963,357,369,266,596,894,500,047,342,610,669,275,575,426,928,509,588,
126,713,248,516,832,784,811,865,135,781,870,317,718,497,609,272,965,873,634,
130,555,031,333,888,799,951,088,131,489,618,793,273,587,496,526,999,753,616,
938,245,492,199,081,255,956,097,802,750,066,454,212,962,225,975,785,933,714,
306,309,646,661,200,651,323,855,228,556,664,362,795,142,658,216,533,347,186,
617,581,268,098,495,199,293,328,149,280,357,813,667,951,473,413,332,634,517,
376,465,924,788,552,175,614,180,789,658,947,960,725,205,241,409,808,750,333,
087,903,785,810,416,907,198,111,526,545,703,447,311,008,572,174,179,247,294,
305,662,874,548,516,271,634,421,697,882,133,664,148,875,958,289,136,142,851,
059,683,845,617,567,536,086,457,427,947,792,893,617,944,687,494,986,379,747,
694,208,957,667,007,810,379,569,183,593,909,202,095,857,530,528,843,547,143,
912,554,657,406,993,225,456,373,064,078,766,720,069,435,883,996,878,212,100,
739,620,338,721,961,506,761,877,204,378,320,403,517,061,554,145,281,478,221,
425,973,005,841,240,550,703,080,182,194,568,493,228,320,336,498,043,007,405,
061,759,683,686,627,909,930,463,234,603,172,942,918,550,912,046,183,105,909,
776,306,995,640,198,401,664,410,950,577,607,962,354,101,656,757,233,002,190,
018,172,128,070,850,731,689,878,790,750,014,755,339,281,516,176,595,691,006,
935,839,349,866,131,723,044,213,894,289,810,155,458,977,251,368,917,901,727,
025,451,527,536,178,754,383,984,790,829,536,873,822,791,655,680,373,552,774,
476,528,669,141,314,247,439,958,304,296,345,676,174,045,607,479,947,185,129,
496,261,452,084,782,765,775,807,752,637,847,490,217,651,351,452,713,940,664,
700,088,021,798,787,893,531,752,221,927,597,474,150,733,343,571,457,535,789,
315,335,741,597,277,168,469,101,706,624,047,886,722,656,259,331,525,407,682,
723,740,881,360,540,981,636,208,204,185,131,144,922,239,049,010,461,164,604,
162,260,130,876,506,617,721,241,046,240,165,671,083,411,513,816,420,504,026,
125,968,604,698,281,636,288,230,505,023,780,414,047,159,448,787,157,019,885,
698,068,897,320,225,279,902,810,196,862,913,233,300,400,103,834,785,271,783,
381,135,282,366,675,073,660,605,608,499,783,848,660,214,853,261,076,908,411,
275,400,135,429,628,358,987,448,835,735,469,121,815,782,544,586,398,106,553,
186,226,207,079,502,681,065,684,142,715,033,646,934,110,510,889,744,827,280,
395,900,529,435,564,990,307,096,914,779,495,827,354,203,119,970,641,947,035,
170,282,651,066,592,020,944,776,192,946,606,612,324,913,535,234,331,666,048,
772,969,022,705,964,325,897,279,232,242,862,346,167,257,851,552,029,880,356,
630,082,396,455,586,590,259,878,004,545,627,610,157,491,726,541,523,968,678,
301,067,633,818,704,121,105,357,285,426,663,154,521,261,632,864,214,416,741,
079,577,064,239,767,814,334,870,286,573,386,190,367,694,337,538,510,854,187,
625,540,359,106,001,672,040,449,840,635,582,215,275,418,938,076,764,059,339,
430,603,438,739,221,467,639,419,674,804,753,197,478,269,866,831,994,372,485,
819,245,220,507,049,619,847,261,449,161,715,837,558,520,184,734,363,290,842,
725,007,359,822,573,972,260,107,776,735,267,527,398,484,535,582,172,503,830,
249,339,529,859,735,071,596,748,548,889,081,715,867,029,191,694,668,726,265,
714,510,943,089,058,082,836,998,568,494,178,527,996,436,721,268,418,861,072,
562,106,508,456,663,696,662,470,774,425,136,470,795,770,018,735,420,334,070,
135,879,552,764,404,404,781,607,943,813,314,668,254,450,553,401,771,332,543,
510,344,746,987,238,260,071,989,097,958,385,488,980,009,063,302,947,339,648,
565,699,483,110,136,163,078,449,019,943,406,730,532,897,676,645,512,149,274,
355,014,624,233,573,545,906,529,018,883,072,021,067,114,960,132,982,630,465,
848,772,255,218,850,594,400,088,649,818,438,065,443,219,532,583,799,278,325,
365,123,611,078,053,704,431,123,295,250,123,100,701,134,320,700,868,664,095,
450,938,118,786,687,824,380,200,693,881,930,091,821,471,393,667,736,149,062,
966,786,923,209,310,287,438,290,219,049,658,284,287,919,759,138,309,659,009,
454,046,343,426,490,193,234,177,857,895,828,214,025,263,817,488,061,247,175,
625,794,386,911,843,716,521,560,012,764,841,622,210,809,869,076,255,357,151,
673,401,838,510,910,090,232,399,682,325,081,191,409,445,207,648,535,353,679,
988,556,222,103,874,205,644,915,136,144,782,360,764,997,433,774,826,260,212,
886,541,011,771,818,715,474,807,161,302,419,861,508,198,791,212,368,459,004,
667,217,749,759,027,448,301,555,674,672,499,134,107,857,696,730,075,572,667,
527,751,432,885,775,840,733,168,122,358,728,593,068,326,555,314,564,984,972,
909,603,160,474,626,916,927,920,330,461,927,234,901,558,297,044,993,800,171,
955,777,709,102,932,797,537,800,784,318,922,671,062,357,037,646,783,900,872,
584,121,646,842,520,440,101,351,931,530,688,244,236,865,588,674,551,618,546,
510,510,137,049,139,027,730,765,500,570,091,619,950,508,516,503,171,351,547,
950,312,049,659,204,401,324,311,540,212,060,331,899,986,728,935,728,814,972,
214,701,632,376,696,960,156,762,687,981,952,426,711,002,918,630,410,792,477,
859,585,832,617,663,726,555,549,909,359,320,444,059,149,189,017,865,747,714,
704,364,682,925,037,856,845,863,181,264,558,272,023,031,906,879,310,444,898,
342,612,306,244,576,434,960,259,242,672,178,211,150,221,719,437,332,048,372,
349,601,997,138,779,490,396,227,940,852,881,213,970,230,062,920,451,165,656,
846,964,524,975,274,058,465,430,327,702,714,439,093,891,691,105,264,773,061,
245,364,160,459,220,634,130,549,415,326,328,518,097,153,519,462,216,926,774,
476,249,441,099,310,076,814,242,156,049,859,945,144,069,525,723,730,368,104,
701,415,792,544,446,804,715,605,544,439,200,722,928,296,530,416,806,287,945,
384,555,410,476,684,250,256,647,964,189,076,725,153,612,364,146,590,044,005,
017,490,098,817,500,122,216,930,701,228,383,458,423,161,519,904,312,624,616,
977,134,356,810,201,549,787,763,041,082,146,870,674,968,178,769,870,980,601,
231,227,133,588,039,173,027,351,073,862,718,683,096,898,650,002,349,394,973,
466,517,033,394,339,485,114,165,777,482,389,395,014,421,154,399,255,667,061,
386,573,850,455,593,288,072,856,536,557,570,189,730,971,085,683,566,013,664,
946,838,811,437,968,888,619,546,449,863,447,579,983,490,394,253,832,281,369,
592,015,594,540,829,616,913,840,494,954,098,736,025,724,375,208,965,879,121,
402,960,510,760,970,888,046,489,770,339,084,208,742,490,993,434,825,327,169,
702,089,942,744,622,377,728,865,721,739,254,182,724,321,624,772,349,508,156,
713,311,291,804,142,959,358,093,981,118,101,895,588,943,746,343,129,396,520,
093,304,994,815,229,067,297,984,562,701,810,936,922,600,239,272,662,271,446,
876,859,155,623,104,093,601,189,722,509,510,286,166,561,001,197,587,151,049,
952,522,535,605,765,425,370,828,476,603,009,220,030,247,617,562,873,916,423,
088,968,487,548,595,383,555,155,183,144,855,830,753,037,838,390,387,522,613,
181,130,944,551,832,492,551,244,421,909,546,586,662,162,403,342,216,623,158,
503,564,453,796,784,666,008,579,280,454,419,732,950,167,543,646,826,568,197,
572,339,199,295,691,146,958,083,405,125,172,372,926,515,901,592,688,639,032,
734,101,570,318,957,806,714,928,891,419,418,551,959,063,149,972,066,590,200,
835,095,664,465,450,303,808,264,383,801,884,614,570,724,426,490,054,575,247,
607,609,560,116,531,682,724,710,645,242,647,336,858,747,679,583,493,207,523,
326,557,742,721,279,921,259,843,812,387,946,293,470,235,194,860,862,851,587,
458,967,848,207,685,048,387,306,398,732,185,081,720,236,454,403,432,148,821,
701,123,224,294,285,609,100,141,294,841,464,630,445,425,731,058,066,193,274,
619,122,527,330,028,939,707,215,071,827,530,414,379,551,415,401,197,669,635,
498,642,157,278,161,444,691,569,967,127,780,063,642,528,019,517,894,486,533,
228,662,103,925,684,549,058,198,706,032,257,781,285,335,355,074,066,015,203,
940,026,290,965,183,239,467,710,368,958,815,528,750,726,425,441,744,272,043,
220,037,544,658,584,770,088,984,317,645,823,006,107,258,173,976,760,568,570,
593,334,556,317,970,898,363,912,284,179,699,506,934,441,982,887,353,871,018,
861,801,012,454,335,688,167,282,483,863,714,155,928,096,564,177,260,639,101,
706,788,493,215,466,191,606,644,178,424,017,426,081,718,169,230,255,892,981,
966,362,744,011,651,513,976,657,984,126,865,263,666,075,916,658,126,605,702,
757,385,021,469,304,564,204,826,345,230,937,275,064,515,964,596,435,975,981,
951,751,394,535,435,098,150,534,595,775,024,289,703,226,946,960,050,847,268,
287,534,610,469,957,260,726,152,514,096,923,760,479,027,339,334,112,418,589,
063,179,672,804,970,675,371,852,521,964,062,346,099,363,140,024,155,809,301,
412,721,126,820,750,731,880,107,273,578,947,198,489,301,193,147,908,383,845,
292,849,573,574,309,219,255,048,944,162,904,158,753,173,647,360,636,312,980,
558,514,569,198,286,843,560,552,535,464,186,362,137,564,556,553,236,466,653,
008,916,581,696,206,190,879,934,978,965,156,673,906,633,487,469,140,614,820,
924,397,911,702,051,243,250,397,723,610,929,463,464,929,984,638,813,448,375,
724,268,163,269,565,463,741,252,736,388,111,852,445,071,174,502,200,711,060,
801,004,117,428,461,772,314,660,669,042,472,175,100,276,132,528,240,934,420,
343,120,629,368,573,428,718,394,602,097,614,705,982,989,083,823,952,834,521,
654,095,067,509,719,317,235,416,370,071,194,647,273,969,579,440,259,327,935,
405,387,123,334,601,706,200,439,009,127,232,587,429,860,826,050,171,405,890,
734,270,847,532,544,269,048,713,610,238,044,091,887,972,881,737,609,002,507,
285,496,305,718,838,757,935,324,332,438,546,584,582,884,042,914,751,748,401,
254,031,893,688,041,751,223,401,311,378,152,931,598,641,663,209,919,432,599,
175,672,226,496,904,182,182,624,980,960,154,470,839,610,490,192,480,304,406,
309,986,495,168,658,057,698,374,733,700,298,700,858,723,601,675,206,524,473,
338,054,581,764,569,671,933,096,345,745,955,145,819,692,523,323,607,179,057,
544,213,993,797,127,321,808,817,368,451,924,637,476,508,943,104,470,341,227,
647,208,822,700,306,677,830,572,900,167,515,989,100,813,802,425,063,302,340,
978,870,890,321,540,284,005,531,081,281,476,336,083,129,880,658,367,295,212,
823,644,037,736,175,440,655,374,238,070,842,001,374,713,168,204,599,226,298,
292,170,909,260,373,364,482,167,073,715,132,199,235,531,988,519,183,253,053,
719,869,952,451,650,195,897,416,039,763,514,373,645,054,375,899,649,965,776,
884,478,156,837,967,380,551,055,098,851,427,253,508,557,493,966,152,879,414,
612,381,200,725,533,135,294,690,347,586,398,713,721,638,385,817,600,352,936,
393,664,353,629,353,901,263,927,130,262,566,588,139,276,023,861,937,202,912,
319,597,057,237,394,100,690,781,895,390,764,405,506,966,807,346,979,896,333,
790,090,176,147,782,038,652,931,518,802,022,566,491,325,475,743,093,310,723,
664,550,834,274,747,768,593,412,731,311,485,726,940,277,491,016,771,991,337,
902,934,091,624,678,330,502,217,723,866,015,644,399,227,460,207,495,902,252,
538,423,367,353,817,063,862,829,070,999,491,351,061,765,524,520,546,187,368,
515,556,847,631,873,518,887,769,656,901,422,782,843,816,747,168,676,108,116,
259,998,538,041,329,410,200,758,324,875,199,694,880,795,503,158,181,708,103,
257,618,097,966,225,437,397,780,987,404,301,055,836,176,626,680,996,340,728,
393,387,507,697,926,670,329,932,511,508,515,833,129,581,019,952,091,955,221,
557,503,494,054,325,198,087,825,922,484,235,080,112,465,425,404,650,025,362,
537,052,290,718,093,644,460,164,896,535,356,235,188,474,329,390,319,312,621,
984,144,302,533,565,988,791,680,995,098,874,307,609,959,423,026,945,048,701,
610,524,792,965,893,068,228,615,206,741,506,482,391,851,925,861,538,796,889,
209,033,465,663,344,483,986,653,936,698,873,054,363,821,930,316,738,023,555,
941,962,561,974,892,129,496,173,111,516,196,612,640,347,743,224,276,408,719,
994,063,067,831,792,417,798,373,940,440,072,459,297,789,068,291,954,809,620,
960,428,284,813,808,615,699,831,335,127,868,733,267,378,492,252,825,671,729,
719,699,773,355,871,299,248,279,097,483,110,891,797,839,653,457,410,002,106,
722,895,541,044,123,284,726,027,270,222,706,497,389,840,019,303,431,335,692,
943,764,925,136,442,785,742,973,427,021,252,788,002,836,331,243,698,684,971,
353,567,401,108,053,163,181,020,595,234,084,075,191,130,518,757,279,246,435,
736,022,180,808,887,157,905,037,501,144,754,558,261,983,391,774,410,766,375,
280,403,890,327,995,991,254,853,599,241,836,143,255,808,567,539,836,186,316,
746,941,216,065,371,775,331,382,388,174,447,236,831,457,389,430,949,518,462,
372,019,134,510,475,932,998,075,234,025,155,415,813,204,147,608,470,368,701,
514,990,665,304,323,457,455,142,404,753,987,952,790,939,354,720,296,896,462,
459,992,516,733,220,334,556,856,320,358,272,719,599,694,059,030,391,471,132,
693,910,799,730,234,278,379,212,997,638,749,941,533,157,801,606,890,926,333,
478,031,430,858,861,622,122,562,068,936,865,524,313,419,813,948,862,076,080,
962,448,272,194,918,705,206,828,164,256,438,229,638,542,211,925,256,905,383,
760,065,462,010,305,845,035,891,839,708,239,568,708,921,407,432,494,841,686,
938,330,571,170,316,528,732,048,470,905,569,447,053,431,617,128,955,429,488,
119,954,772,179,643,098,339,310,726,592,116,562,947,189,744,106,262,777,117,
072,651,544,717,631,785,002,351,459,155,782,852,429,383,992,861,351,249,773,
505,272,698,462,316,400,283,462,018,484,205,474,465,437,655,774,651,133,365,
733,705,998,688,040,960,652,259,301,674,675,995,419,796,403,536,282,714,347,
045,423,005,594,577,429,740,479,025,299,276,374,358,948,493,889,396,779,140,
725,847,462,051,543,204,704,418,614,129,772,015,090,514,643,421,701,361,463,
646,917,811,975,140,918,424,322,326,345,768,817,327,215,020,608,069,949,545,
110,400,556,440,742,679,756,117,948,438,160,182,633,523,892,325,069,188,689,
061,753,866,728,816,505,715,558,420,193,816,429,818,010,833,646,192,612,883,
952,726,715,863,935,920,280,755,804,339,795,810,400,873,029,100,677,039,673,
885,045,533,183,311,475,721,376,851,188,806,936,586,478,418,391,089,439,179,
037,561,993,090,060,362,278,273,028,450,524,520,085,815,276,147,860,019,124,
990,272,369,314,928,168,212,029,244,628,308,254,376,036,241,420,043,716,246,
909,521,312,606,479,990,872,926,524,563,365,712,234,897,539,947,815,307,601,
804,538,808,323,664,080,223,101,027,032,218,582,465,066,678,203,089,027,372,
372,967,978,916,955,903,102,891,403,515,928,421,859,526,299,364,602,805,804,
360,906,901,968,000,414,046,688,748,270,796,399,308,792,121,197,576,617,441,
984,395,421,481,078,173,444,709,869,498,241,954,565,089,229,913,801,919,360,
397,734,349,545,461,650,626,883,490,129,136,252,158,749,189,608,774,202,333,
116,434,666,517,264,035,731,951,390,287,171,747,556,126,961,023,282,765,477,
572,304,496,844,979,490,345,948,487,346,395,310,502,091,616,693,257,961,492,
549,008,595,206,587,725,135,794,819,988,278,979,343,330,938,932,517,520,876,
625,905,742,491,474,718,813,868,028,441,016,653,064,729,312,881,905,260,631,
906,193,174,163,686,104,076,316,507,366,961,239,942,428,392,175,137,871,759,
780,460,822,988,766,078,783,010,441,710,790,791,821,548,685,009,238,256,326,
884,096,615,048,040,798,082,216,359,150,606,469,977,692,876,413,480,643,937,
714,801,419,854,375,042,921,365,538,436,153,369,471,614,074,523,322,847,966,
610,328,007,534,748,714,392,903,767,115,123,666,089,102,002,023,657,856,214,
622,870,009,968,410,042,989,574,496,648,716,425,336,146,916,227,943,933,880,
571,146,395,523,478,791,515,182,526,713,757,800,237,037,844,862,525,252,631,
909,502,134,096,187,115,268,949,848,856,460,900,165,299,487,388,318,960,146,
141,248,230,687,622,244,157,958,801,870,263,112,724,422,539,010,808,164,725,
305,769,375,039,621,982,124,419,428,375,396,154,788,605,704,278,916,885,134,
936,189,882,762,232,185,677,550,083,473,765,039,274,146,832,787,869,939,999,
826,841,316,560,180,533,938,680,059,757,633,365,929,172,481,246,123,103,159,
322,178,905,258,930,714,892,968,811,518,578,879,380,026,728,766,618,707,526,
983,727,131,805,371,241,022,157,074,433,251,849,579,685,634,239,071,819,558,
193,652,917,886,481,544,560,080,395,688,469,451,554,888,403,051,414,618,668,
735,725,030,132,592,412,586,478,359,115,032,694,767,493,571,968,921,481,232,
752,584,038,938,671,388,798,596,902,313,671,701,399,874,352,174,179,172,018,
793,703,418,264,076,169,753,061,127,807,357,739,350,198,171,151,673,446,456,
006,086,257,246,065,390,220,559,762,992,438,893,652,764,003,029,250,151,592,
619,634,095,080,875,676,125,386,169,183,675,500,360,104,908,558,442,295,325,
780,653,310,725,156,582,323,701,738,459,583,387,059,604,014,599,434,396,433,
320,288,920,064,890,186,299,479,172,592,252,270,722,285,240,145,830,529,695,
452,671,692,572,372,657,765,145,563,087,102,115,261,357,215,776,454,647,484,
287,373,532,620,885,177,122,866,663,371,915,501,255,046,014,604,332,454,293,
417,431,956,993,605,294,731,851,868,981,047,430,173,993,696,339,462,009,412,
755,269,338,629,559,823,434,813,902,840,479,869,761,413,660,910,412,758,130,
640,626,996,624,114,956,913,624,248,077,924,500,620,412,577,646,062,936,049,
937,245,995,945,079,331,450,604,016,091,670,764,106,929,079,689,750,763,021,
083,689,739,924,832,902,260,091,757,185,148,369,081,225,720,725,054,117,420,
224,461,607,406,018,426,559,111,895,944,663,841,327,469,069,664,438,537,517,
688,238,190,712,317,824,698,272,464,873,605,671,729,222,583,725,304,523,284,
829,475,164,974,874,486,177,472,409,685,162,732,756,020,569,077,746,429,946,
476,312,717,891,469,352,691,923,737,080,099,558,795,257,535,842,904,598,209,
893,488,422,781,878,008,020,598,934,351,379,958,739,932,606,256,762,887,806,
892,417,754,505,000,570,475,126,823,389,733,143,455,007,189,804,300,714,429,
846,274,911,799,664,063,376,191,548,380,294,533,161,791,566,107,346,697,017,
590,908,809,007,391,327,179,159,390,975,066,465,327,453,639,070,210,757,148,
483,345,623,059,353,882,486,707,793,556,960,186,842,411,295,834,228,976,912,
866,490,782,555,738,481,496,289,663,118,498,332,930,022,814,222,690,241,926,
387,594,581,742,750,295,655,632,107,984,222,794,359,542,619,372,315,311,753,
063,957,491,335,589,099,600,349,563,994,052,970,859,646,151,128,774,996,484,
611,880,648,051,014,149,432,640,431,565,457,631,856,932,774,339,604,258,510,
109,603,536,653,653,612,427,104,663,038,581,011,720,218,506,096,337,390,900,
246,094,083,990,037,669,094,016,870,932,835,279,360,981,635,576,625,240,285,
046,414,087,516,190,058,481,640,616,335,201,067,503,297,033,730,051,178,433,
289,441,278,279,943,656,918,528,560,314,437,534,305,975,679,651,146,189,901,
576,874,742,531,274,222,617,137,466,978,908,623,296,584,708,221,549,693,303,
462,191,135,809,118,876,194,167,278,937,597,935,401,667,231,332,592,210,435,
728,561,205,057,755,712,072,346,881,000,334,337,439,643,332,065,518,216,350,
620,405,033,387,829,141,532,387,893,470,079,020,664,537,543,173,431,992,847,
743,093,584,322,811,675,520,702,270,529,044,299,830,181,588,289,436,265,088,
404,357,076,751,572,867,861,364,718,122,301,523,384,586,278,863,147,252,908,
111,035,318,748,203,432,167,930,974,376,967,727,956,625,453,022,449,221,316,
185,006,092,101,353,567,172,137,058,372,430,450,615,615,675,523,404,435,807,
087,173,183,226,295,079,005,356,450,015,182,582,190,821,706,896,485,471,806,
428,210,044,830,646,585,221,127,943,189,414,016,277,181,632,333,026,416,897,
070,824,394,575,949,371,407,708,395,233,438,416,126,267,715,350,291,250,976,
423,293,315,033,594,487,671,763,401,500,337,400,080,487,853,536,786,205,270,
723,517,785,064,315,946,021,579,666,244,835,787,439,551,644,174,892,154,674,
279,370,332,959,932,201,458,824,159,809,963,074,973,734,223,848,133,311,741,
479,096,289,886,596,838,951,566,733,368,701,749,361,436,764,752,723,441,016,
045,665,233,183,554,426,679,661,939,307,548,455,260,208,918,202,675,488,168,
895,114,135,087,480,628,433,102,060,720,267,322,333,953,457,237,034,605,456,
952,574,741,497,797,259,472,835,202,988,649,382,496,951,903,955,640,196,676,
709,290,264,397,269,248,007,782,164,205,049,751,537,045,641,203,295,768,592,
396,320,461,290,094,126,009,860,183,125,685,396,431,045,325,365,488,316,276,
302,965,822,834,519,648,863,687,161,064,087,282,805,972,070,455,073,393,923,
171,375,141,131,713,486,310,799,841,564,783,156,449,721,035,955,236,735,229,
706,958,400,509,973,289,810,433,074,325,143,870,750,714,951,448,608,915,870,
583,366,139,061,625,202,839,431,324,180,268,404,389,284,298,828,458,579,445,
702,632,817,486,171,450,314,064,621,038,406,259,408,642,676,591,529,321,053,
806,147,876,789,262,418,895,620,336,459,874,985,991,301,245,573,484,680,319,
993,502,851,517,080,828,712,399,871,896,358,806,955,346,863,262,191,574,080,
307,104,584,330,651,777,029,605,071,907,877,742,699,677,029,272,934,853,311,
308,956,705,462,560,841,869,719,688,759,527,522,190,072,631,825,273,241,457,
263,416,872,996,109,501,727,271,829,243,361,128,204,998,979,853,375,072,999,
947,254,685,548,291,066,728,673,390,488,615,365,844,812,876,861,827,698,944,
834,854,814,614,161,439,926,788,903,598,934,021,967,824,693,245,669,556,834,
249,781,010,676,581,945,939,969,866,912,461,851,337,542,985,382,926,142,915,
745,749,470,122,377,873,596,833,817,274,760,546,724,833,224,104,257,956,036,
035,116,891,673,291,749,917,147,495,474,168,623,643,857,119,146,548,599,537,
468,984,163,907,074,825,407,611,584,841,605,132,965,646,585,546,505,897,338,
418,225,165,945,405,987,769,333,309,531,291,976,138,421,057,467,295,717,057,
607,945,328,907,176,419,967,180,913,997,258,985,926,001,492,262,598,982,231,
485,209,455,621,036,541,253,152,063,961,136,756,606,850,508,043,260,774,448,
885,231,553,912,284,588,411,316,279,435,174,524,662,972,749,923,939,726,492,
455,450,375,602,055,986,525,655,292,430,491,556,261,443,034,107,955,587,398,
864,398,357,748,302,136,775,097,594,724,276,476,590,231,621,536,966,783,978,
169,471,853,630,378,577,429,935,956,709,544,457,842,193,928,166,901,209,662,
884,425,333,621,312,640,466,740,565,729,054,503,334,599,699,571,582,671,663,
153,873,699,562,111,878,743,404,723,196,004,573,685,572,978,190,925,821,126,
927,451,126,868,248,075,300,987,050,432,114,709,483,562,494,433,944,255,787,
939,456,120,154,381,084,619,707,482,165,701,093,491,548,459,685,826,831,273,
416,465,034,552,291,162,273,800,527,848,536,803,430,873,775,559,425,151,753,
077,415,122,576,210,963,906,922,370,246,587,094,171,040,894,183,267,148,489,
990,867,692,869,304,168,908,386,345,307,983,032,883,921,577,472,393,268,584,
316,209,095,389,239,099,566,735,279,795,771,958,655,286,001,149,365,262,264,
099,947,630,518,149,603,400,172,353,732,269,487,902,370,758,977,134,629,761,
883,585,868,365,653,569,637,174,472,436,882,634,050,408,370,289,571,602,688,
038,983,536,621,449,247,631,786,586,596,904,421,235,398,418,356,819,618,675,
824,078,681,736,260,715,506,549,653,870,212,266,870,006,698,602,783,441,386,
495,474,687,572,211,032,904,585,466,068,404,378,549,782,684,486,350,570,079,
494,749,396,446,285,453,352,491,856,067,173,815,266,177,804,042,195,687,285,
459,223,376,628,071,958,617,129,633,381,409,466,233,354,733,906,763,003,512,
978,181,292,253,244,583,120,307,794,011,668,051,741,440,823,329,355,709,737,
062,663,602,005,356,657,828,431,161,286,953,613,853,128,552,831,171,086,984,
420,102,095,426,233,627,618,961,646,733,918,354,970,265,640,878,372,762,017,
539,020,236,372,646,238,333,600,177,173,001,768,126,786,326,311,434,494,487,
342,316,775,898,492,586,951,546,343,270,087,145,063,613,419,247,711,131,445,
893,368,230,167,045,322,780,083,616,214,016,705,177,338,042,456,734,980,034,
866,963,372,850,040,405,416,589,491,018,791,650,621,120,074,885,297,387,136,
869,051,325,805,506,402,369,994,091,676,883,194,469,705,028,570,414,617,691,
484,262,704,693,987,900,261,808,015,617,823,867,829,063,909,692,737,050,566,
841,221,665,375,720,664,657,772,559,326,093,042,841,962,549,684,571,275,269,
816,157,155,933,586,904,198,118,444,788,073,924,062,300,304,271,215,751,272,
768,193,791,436,552,424,803,168,931,600,192,724,779,186,440,835,517,279,508,
405,625,701,936,342,834,803,095,237,430,979,584,674,491,963,856,413,046,419,
334,215,312,663,954,662,029,771,822,648,835,700,036,051,626,878,513,668,542,
802,208,564,548,232,880,178,886,939,558,764,770,615,198,900,518,293,157,541,
078,478,245,992,566,981,232,810,195,705,030,770,178,415,303,115,024,453,804,
822,245,788,585,799,825,114,598,628,967,576,491,131,353,572,974,820,133,264,
483,166,525,926,140,509,874,818,739,181,040,671,294,629,950,227,154,343,446,
626,136,509,385,298,356,754,051,301,556,498,241,342,939,024,711,087,862,719,
366,554,912,655,443,734,170,990,444,964,774,903,431,566,284,508,449,844,984,
923,573,793,749,570,620,646,559,686,542,543,158,748,785,901,621,366,576,384,
621,348,783,386,470,277,034,371,853,282,024,219,630,997,571,977,881,406,322,
368,834,883,402,042,195,570,957,750,153,961,740,638,032,345,905,346,234,093,
516,456,400,629,594,968,307,169,460,004,548,534,977,772,246,068,058,592,923,
026,407,110,141,144,740,021,583,115,575,357,300,577,465,728,120,708,472,113,
317,417,478,875,884,684,149,272,021,072,489,867,094,838,594,666,139,953,132,
190,335,857,963,300,005,920,408,032,215,810,408,915,000,122,696,699,562,182,
961,579,169,088,486,848,849,491,940,941,405,747,913,356,412,182,433,792,692,
044,496,248,924,112,456,427,251,253,697,253,190,715,869,283,828,833,350,223,
403,816,372,583,882,648,804,723,817,724,230,568,260,033,354,997,507,176,850,
213,603,921,789,814,315,799,320,361,870,268,833,141,462,196,997,129,293,936,
597,798,284,229,058,296,154,930,390,008,124,268,893,987,892,670,839,576,988,
928,471,954,731,075,304,351,008,577,219,677,473,834,484,042,584,919,014,466,
442,899,575,464,782,400,944,222,067,255,658,173,523,277,677,706,524,091,632,
305,950,307,621,039,934,579,132,971,388,469,471,379,988,585,954,085,072,439,
951,338,719,997,659,682,097,672,606,250,723,906,979,577,948,551,041,684,135,
611,291,965,995,835,562,474,236,607,090,325,036,832,196,785,605,575,133,185,
267,633,303,469,719,363,241,228,797,939,741,861,382,225,127,309,894,455,796,
721,063,693,499,813,651,675,334,022,563,976,661,766,324,321,245,460,857,870,
221,106,829,560,180,702,296,164,177,003,313,885,849,160,912,519,718,271,328,
524,135,245,538,202,180,694,335,046,242,003,495,323,454,503,091,721,530,576,
125,746,534,140,216,826,468,587,644,090,790,653,972,639,312,130,298,894,361,
115,316,894,813,074,164,628,623,833,955,865,373,524,453,425,618,135,378,030,
578,521,234,636,545,680,975,764,939,672,222,532,564,845,303,757,116,985,022,
760,399,474,807,856,466,869,070,588,508,256,127,336,176,624,345,185,653,686,
851,462,043,371,295,667,127,244,677,063,859,546,703,484,002,108,066,681,266,
101,138,942,252,510,387,556,665,448,829,406,407,747,141,991,167,405,668,743,
143,235,240,944,056,269,014,799,793,568,117,147,083,059,745,322,850,207,365,
942,962,436,315,444,513,691,723,141,586,331,994,436,428,976,739,298,411,078,
778,711,330,568,028,812,218,666,233,197,024,460,067,011,137,677,139,827,746,
716,046,223,902,039,392,930,722,318,457,546,914,362,503,406,252,519,304,886,
538,972,140,357,076,970,698,620,977,676,939,301,335,200,792,692,472,797,062,
497,683,097,216,456,286,770,310,233,957,187,753,093,188,534,315,060,045,122,
838,838,761,765,828,174,241,872,707,882,683,359,175,201,833,262,443,667,842,
972,289,108,674,691,195,159,848,895,828,835,285,606,751,220,713,178,309,940,
338,096,341,447,004,216,721,606,993,198,755,925,438,246,471,421,498,270,669,
749,036,654,214,511,191,749,544,233,430,105,713,108,274,627,972,550,107,038,
832,494,556,013,985,083,625,298,936,691,988,190,098,425,008,476,824,852,686,
399,385,183,192,843,132,536,026,263,088,379,371,816,599,562,036,086,438,343,
737,807,371,690,987,392,213,119,626,211,824,603,397,927,225,374,687,988,205,
507,308,341,100,105,493,843,000,843,405,097,494,869,046,968,978,121,313,716,
541,478,279,860,159,189,650,360,712,824,014,635,511,767,063,811,346,574,795,
598,289,628,479,976,901,654,414,450,944,333,981,744,412,839,013,604,404,176,
476,466,222,480,364,986,335,934,185,999,923,193,931,485,062,210,252,355,571,
913,892,735,434,145,672,405,218,964,359,740,300,694,918,714,619,721,317,043,
153,571,103,986,339,759,847,437,290,943,407,114,194,765,737,968,415,648,397,
707,445,509,628,877,800,672,442,730,533,327,499,453,041,179,233,719,265,395,
955,773,004,697,903,434,712,197,511,439,832,194,196,635,513,632,733,076,056,
849,434,299,195,674,533,013,670,723,384,080,812,852,501,056,078,658,559,737,
990,041,057,877,895,239,083,429,028,867,404,739,692,752,790,307,954,856,687,
915,901,951,212,831,053,409,238,490,556,108,493,243,373,012,420,327,872,524,
795,246,453,043,266,195,114,568,745,135,689,913,811,937,740,911,349,304,774,
194,835,310,520,894,985,133,227,358,168,377,391,281,289,989,498,968,889,391,
734,376,550,735,243,182,776,645,547,447,109,445,062,208,865,457,856,641,682,
230,770,851,912,294,755,378,948,898,988,531,454,031,690,033,383,546,514,864,
536,991,426,445,202,620,738,645,694,860,809,270,636,299,768,208,891,563,762,
178,907,115,375,188,205,957,174,974,454,150,513,433,949,711,094,464,387,077,
374,907,146,760,913,790,992,159,170,997,009,719,022,116,481,872,043,995,000,
421,219,752,713,153,193,018,723,532,531,539,109,682,048,826,605,807,613,360,
823,771,813,142,616,697,114,114,910,768,851,154,496,156,391,725,431,290,722,
303,919,345,424,126,308,017,003,997,621,304,221,182,593,332,392,911,314,001,
009,720,414,541,619,864,904,329,454,496,984,990,130,195,540,025,138,043,054,
494,915,572,950,805,328,589,096,384,257,745,618,027,787,263,141,718,201,984,
767,846,231,769,720,362,133,431,083,946,761,612,604,514,760,509,290,547,164,
654,746,874,223,846,120,620,135,365,851,889,308,638,756,731,650,054,528,499,
914,909,339,162,536,592,566,750,937,406,215,208,579,679,825,959,869,208,118,
627,599,700,381,066,217,256,558,366,763,512,253,168,712,166,034,494,446,790,
759,184,315,965,782,388,738,713,737,304,144,737,455,001,473,267,209,680,498,
029,874,998,164,094,025,329,598,850,634,408,927,459,498,298,606,694,176,244,
495,579,340,951,264,705,915,057,340,413,627,090,530,746,086,633,419,893,048,
940,477,899,946,732,621,504,920,304,265,352,540,935,609,382,756,413,741,961,
989,322,102,511,406,182,404,466,982,500,710,163,605,096,422,342,499,767,042,
157,934,259,081,513,592,011,679,737,278,705,394,750,738,375,560,114,570,773,
075,944,954,700,675,118,932,223,645,985,467,473,045,630,293,780,968,303,582,
312,135,241,264,109,949,935,100,912,407,038,362,417,414,078,861,783,221,997,
901,850,156,132,708,774,373,729,865,963,515,614,235,694,361,406,449,481,391,
442,442,083,649,745,940,847,217,123,889,584,509,724,464,874,064,522,536,546,
540,245,452,643,894,984,375,317,531,217,096,339,145,220,830,131,892,155,852,
243,811,826,764,969,549,202,152,349,869,398,231,330,968,281,002,844,721,467,
910,369,459,268,273,171,812,847,119,023,111,598,054,391,692,796,356,516,615,
402,757,475,271,028,371,713,202,307,788,999,196,612,768,887,700,422,790,682,
231,946,155,569,064,085,319,010,950,502,214,235,616,472,336,142,139,808,203,
655,641,203,202,756,885,009,693,266,928,647,809,078,389,681,155,196,984,975,
465,842,979,343,144,422,735,466,281,061,626,871,797,239,100,128,828,192,488,
948,515,593,229,760,298,381,373,825,635,918,595,159,173,917,569,228,805,124,
249,562,901,847,072,701,140,889,473,224,459,499,771,973,997,201,267,597,057,
559,232,974,732,559,104,101,625,629,757,034,058,724,617,753,492,229,397,792,
326,610,321,696,296,871,272,612,490,649,937,869,249,128,209,615,935,753,181,
108,841,396,076,333,308,514,231,810,417,488,718,826,184,338,289,995,372,937,
328,643,398,995,411,092,043,526,819,163,328,811,287,587,615,165,001,777,688,
663,106,563,474,969,571,981,929,135,795,193,068,976,238,812,922,205,989,924,
020,499,804,385,866,925,714,308,910,363,034,647,250,654,193,742,295,072,405,
386,567,199,233,559,098,052,788,368,965,685,614,974,665,098,940,506,129,296,
566,535,654,833,496,504,014,221,594,139,178,250,024,210,483,774,890,098,094,
039,855,115,896,053,243,969,081,304,126,021,562,235,161,396,683,194,636,863,
714,786,917,729,832,865,241,758,830,392,593,582,204,794,782,481,315,351,807,
231,970,498,093,493,857,157,910,739,758,299,523,888,838,450,888,039,824,272,
258,168,002,923,313,053,109,179,185,279,755,459,641,527,099,518,203,363,946,
155,642,582,298,175,508,554,561,440,525,698,829,206,194,573,528,602,506,892,
150,677,000,013,209,793,477,425,858,251,404,342,059,525,484,353,903,801,736,
267,121,561,602,066,186,824,110,548,607,283,559,726,728,827,333,446,651,071,
449,714,991,826,361,760,091,560,558,516,096,768,045,203,310,911,445,980,510,
214,232,300,362,502,928,513,760,164,927,014,726,873,294,171,569,610,226,886,
633,830,799,681,907,041,092,622,205,827,281,156,905,648,486,935,238,072,344,
330,701,353,832,071,404,934,584,046,436,000,526,368,545,213,398,996,259,529,
858,554,730,393,568,688,733,584,445,386,968,749,102,189,807,634,916,612,729,
927,044,615,551,987,859,041,650,381,026,822,116,065,872,769,886,222,177,332,
172,463,378,618,512,855,563,555,780,797,750,026,807,879,714,190,056,657,304,
913,905,324,705,464,213,387,815,233,610,315,354,482,428,419,603,782,724,884,
089,909,831,356,395,052,431,961,465,506,093,829,882,044,224,627,730,685,816,
805,458,859,762,056,861,687,447,664,116,524,222,730,372,728,074,487,861,296,
827,082,284,950,878,219,427,899,886,214,600,572,257,748,880,532,457,092,391,
115,205,821,287,109,342,771,918,133,704,693,922,169,544,539,482,421,446,043,
154,569,237,013,204,790,500,474,940,721,444,626,816,472,545,246,202,674,071,
527,630,471,474,542,150,076,327,802,006,217,755,636,015,343,873,408,163,639,
195,350,424,527,175,822,427,101,323,819,776,368,542,669,135,366,249,608,241,
170,616,657,237,045,220,483,959,852,026,818,918,778,387,193,753,029,450,376,
176,344,737,412,843,351,435,653,746,244,265,687,935,763,848,643,837,425,942,
490,865,200,571,312,700,237,884,328,284,733,139,426,788,973,992,680,214,139,
292,224,262,259,797,580,869,100,347,893,403,185,137,580,857,851,344,994,647,
745,615,239,517,108,000,181,009,166,388,677,020,168,117,269,385,518,584,039,
573,888,501,406,239,819,880,402,722,024,098,967,381,163,052,399,282,074,470,
153,759,921,908,581,208,273,405,566,345,042,942,578,074,473,189,428,819,577,
620,490,265,896,268,027,049,160,671,303,087,715,531,029,259,315,943,257,708,
942,761,284,282,034,098,951,869,155,115,018,796,980,444,399,033,369,788,876,
444,299,359,443,504,282,726,109,145,381,598,063,647,582,740,519,612,686,191,
690,620,170,820,046,708,150,749,805,612,367,678,273,152,567,290,705,489,458,
599,903,657,945,883,887,651,603,092,838,537,591,043,651,998,239,239,081,647,
228,656,586,906,131,282,785,029,034,929,587,640,395,015,142,834,353,289,320,
762,021,463,864,084,420,456,225,731,087,320,392,578,143,889,101,418,984,791,
068,580,361,831,418,616,718,283,974,480,786,406,273,123,772,224,751,391,584,
682,497,193,236,303,256,773,228,540,835,903,648,372,725,776,869,720,129,515,
804,581,836,203,210,322,671,795,718,157,665,403,164,437,082,604,866,700,706,
461,015,751,133,797,599,013,695,173,980,807,201,006,982,476,946,849,532,718,
811,739,894,158,511,377,792,806,735,656,560,574,642,694,184,964,445,472,061,
236,286,503,842,163,690,810,700,444,278,611,952,612,861,820,358,138,096,778,
646,366,013,946,616,723,429,670,356,431,098,564,113,958,036,016,811,707,352,
390,048,817,622,283,980,824,667,190,340,294,392,896,861,812,675,559,866,414,
318,456,474,883,059,622,183,115,703,954,813,045,056,483,980,444,431,194,581,
464,102,134,676,699,561,513,458,029,439,786,366,714,044,131,735,092,932,862,
350,172,027,074,671,683,219,253,474,447,250,708,694,963,021,826,557,952,201,
201,759,778,235,085,620,054,859,540,318,851,555,742,282,800,585,214,330,810,
192,341,628,027,583,693,503,242,750,701,512,421,996,848,162,096,112,217,878,
633,200,747,259,226,923,772,718,527,750,229,853,326,522,422,256,716,988,202,
287,071,580,545,955,890,407,408,669,152,436,135,810,313,405,872,045,781,726,
801,982,313,764,308,900,478,012,416,834,223,585,104,221,757,269,998,162,825,
071,679,009,940,581,947,732,044,075,824,982,193,893,437,690,605,227,241,421,
698,424,892,837,409,713,183,549,466,053,272,071,456,295,997,532,428,256,649,
462,696,239,677,434,641,314,355,054,388,432,903,097,115,348,961,794,390,189,
653,520,994,220,603,610,808,700,318,307,483,051,784,935,581,583,490,690,791,
126,328,372,559,573,514,359,710,943,058,258,906,882,505,176,142,107,478,703,
626,665,160,116,514,958,733,588,405,532,711,797,116,263,232,868,567,666,472,
922,829,116,595,166,106,956,527,188,425,639,916,484,659,865,071,089,472,080,
817,359,742,477,341,739,579,760,201,824,648,905,079,076,552,419,326,067,347,
700,600,514,496,286,301,044,609,863,263,284,706,522,472,562,340,350,387,084,
337,542,568,134,630,561,079,271,156,845,815,249,268,678,208,474,522,259,741,
163,770,587,158,043,039,203,102,091,415,095,931,385,402,628,921,130,625,098,
128,575,583,643,150,565,046,271,753,233,513,938,752,202,097,595,445,298,428,
593,081,358,716,452,841,463,725,056,335,135,508,183,214,654,378,525,648,606,
058,217,878,257,353,901,642,749,457,249,934,994,035,232,657,046,676,868,562,
106,212,278,627,852,737,539,932,931,241,452,935,550,970,981,517,768,446,934,
409,858,703,962,296,984,452,044,802,242,618,430,496,207,147,619,170,847,394,
552,186,561,521,789,049,547,181,437,557,592,584,763,101,873,253,868,423,367,
938,412,249,516,944,182,840,371,438,585,898,942,269,513,610,382,837,196,900,
720,243,702,836,083,854,786,598,191,868,431,463,082,337,503,233,943,177,278,
296,339,273,638,192,893,865,507,718,693,177,258,100,318,497,201,007,016,158,
589,811,909,494,511,342,330,317,398,142,744,726,693,623,329,939,067,917,997,
910,549,222,885,577,118,052,238,930,931,030,642,091,084,328,787,029,672,357,
534,816,338,941,961,287,975,843,671,247,952,750,612,202,239,764,133,152,410,
544,189,842,480,297,129,287,641,115,756,633,069,934,590,124,745,671,595,267,
734,063,753,804,399,431,851,704,930,665,328,502,416,860,044,200,262,724,906,
213,635,272,461,861,340,273,888,245,474,145,088,876,880,029,513,038,363,067,
817,576,819,171,027,203,231,834,244,179,894,740,911,493,852,705,458,171,103,
921,985,849,463,976,555,043,652,330,657,510,763,808,680,050,075,199,683,319,
698,694,442,701,700,822,276,068,960,356,495,355,466,951,526,340,971,916,728,
714,151,683,547,670,191,447,020,400,089,003,599,069,259,328,492,051,174,286,
327,812,045,336,085,079,172,822,400,462,904,067,770,052,743,320,813,746,165,
549,038,517,449,286,393,959,987,966,382,056,294,272,408,738,593,217,120,474,
074,827,569,846,694,288,332,567,419,820,748,309,464,684,436,203,034,545,881,
618,631,259,456,136,409,012,117,314,343,950,699,868,372,938,297,101,896,570,
887,943,877,961,763,259,073,992,346,769,238,646,094,638,157,854,264,361,555,
137,723,395,497,913,485,785,858,916,021,381,550,121,933,203,813,012,711,841,
936,253,604,980,078,463,355,995,475,734,122,166,365,922,277,788,086,999,758,
807,183,836,557,889,047,319,370,449,343,251,504,981,995,163,307,467,377,182,
117,674,224,753,530,068,118,737,029,664,883,018,941,316,998,608,923,712,506,
228,294,407,097,739,107,292,669,035,028,017,522,546,996,201,824,929,018,157,
796,772,392,478,711,912,977,748,691,242,358,757,756,991,870,071,149,376,421,
829,929,087,134,271,550,203,396,733,676,593,689,915,544,257,946,529,476,989,
638,146,899,565,583,219,855,667,574,400,719,608,007,364,389,486,181,107,281,
433,766,320,385,178,343,371,951,879,026,418,099,308,119,353,829,557,492,576,
671,207,301,129,532,239,257,182,058,312,376,290,361,757,324,888,973,553,652,
927,364,953,993,312,504,788,312,120,104,660,909,574,732,058,544,183,715,665,
376,657,882,742,559,967,974,534,905,055,867,202,104,855,067,109,119,890,231,
376,155,635,194,985,522,759,148,175,357,291,163,628,406,467,125,428,647,332,
861,221,893,259,115,972,431,465,249,934,895,776,714,167,864,501,981,728,769,
468,927,566,313,726,696,740,225,426,299,880,830,973,634,657,625,721,050,888,
405,206,919,135,986,945,221,607,812,503,477,628,160,102,959,941,937,346,558,
032,036,222,515,353,994,939,186,459,224,305,004,610,363,758,391,453,814,632,
062,999,356,891,619,996,910,637,910,092,337,757,539,785,569,974,083,484,417,
214,603,164,528,356,742,149,363,356,894,879,559,397,154,853,541,123,164,801,
152,781,070,530,021,157,381,302,463,528,780,066,539,666,019,039,792,555,608,
921,458,841,934,919,768,280,656,391,145,004,775,285,858,890,949,587,713,318,
779,340,755,899,504,077,337,283,716,650,333,030,766,087,545,774,422,628,051,
420,938,894,871,017,082,031,316,037,877,918,718,484,392,656,819,097,666,359,
850,000,032,128,954,258,570,169,179,384,141,336,169,100,973,973,869,765,527,
501,358,146,117,261,329,207,841,030,959,186,826,040,173,909,421,567,052,760,
315,614,583,981,461,744,622,650,863,050,361,189,355,835,948,452,420,123,522,
368,067,418,632,065,050,425,974,586,641,994,667,439,074,879,964,372,988,501,
995,404,091,637,717,456,214,494,003,557,719,670,996,574,843,047,091,736,361,
823,515,076,223,280,837,133,140,193,208,865,182,572,337,500,524,502,992,034,
451,479,979,607,347,503,654,066,695,484,548,327,163,647,052,617,423,068,895,
530,328,740,794,419,287,106,354,550,990,074,990,543,164,888,835,139,438,807,
900,628,127,246,663,280,725,047,886,696,295,641,446,726,047,661,976,597,739,
979,147,611,166,706,322,051,994,261,676,161,598,230,878,173,729,920,338,104,
895,681,204,095,331,661,383,818,335,136,461,918,866,886,064,919,704,832,627,
777,922,729,403,253,772,841,085,943,213,495,441,209,426,605,551,985,422,516,
596,608,682,073,073,018,728,904,214,293,019,912,062,224,528,176,590,875,786,
420,030,699,900,376,736,891,410,661,300,856,230,999,285,161,566,965,076,493,
677,516,032,103,554,732,208,172,940,969,426,969,128,798,638,378,835,666,059,
365,466,926,463,109,882,887,220,019,513,170,529,072,155,161,541,831,530,466,
036,663,172,868,031,343,791,546,553,564,612,442,947,318,731,730,447,158,149,
775,898,018,919,136,866,440,864,242,318,539,093,943,481,583,665,503,346,501,
555,728,498,157,703,381,164,395,262,383,416,064,699,230,504,298,571,151,145,
546,115,957,883,493,245,702,562,601,844,719,256,212,929,757,219,888,183,111,
156,400,036,618,997,310,072,122,640,667,708,971,835,003,166,273,040,596,033,
804,272,726,567,179,275,805,610,045,958,725,576,487,569,639,343,064,118,987,
169,032,885,302,965,799,548,034,204,516,852,941,808,419,942,528,514,999,926,
690,924,609,757,583,420,173,612,720,710,118,204,345,710,701,574,401,474,255,
032,388,739,272,287,545,630,063,994,668,240,712,722,851,281,734,221,480,406,
985,361,265,216,578,599,623,373,949,769,131,341,479,895,454,726,151,969,988,
138,483,714,609,429,974,278,953,891,677,785,435,565,610,947,685,993,905,857,
378,193,195,455,101,510,722,073,246,124,189,042,332,120,009,906,797,384,476,
389,650,301,212,044,273,114,131,950,576,453,909,275,686,295,839,281,000,786,
847,396,048,550,698,678,653,162,208,553,069,541,789,472,078,108,805,273,387,
155,906,936,145,052,482,327,300,606,686,806,767,714,923,377,099,609,357,475,
169,222,776,840,838,203,650,482,619,997,099,081,278,869,997,367,818,635,696,
943,407,988,155,132,942,018,532,680,926,993,087,519,465,768,300,134,923,971,
724,917,469,134,702,511,262,161,206,850,169,652,651,345,533,961,945,294,215,
212,053,163,959,368,557,684,235,546,606,880,647,459,932,310,952,958,219,518,
452,576,815,948,215,673,616,235,635,359,046,424,291,370,243,240,295,549,509,
845,066,079,023,329,155,246,060,231,141,587,765,147,132,098,408,545,819,790,
343,610,942,801,552,199,452,131,661,970,966,396,256,238,888,268,953,846,225,
462,870,039,982,046,420,555,078,507,702,676,865,552,962,199,650,297,724,860,
090,769,275,872,712,318,733,207,581,651,428,145,929,625,400,087,917,235,328,
848,885,163,241,107,189,808,586,960,375,056,536,052,036,167,052,043,992,820,
690,275,619,395,396,646,912,425,258,192,488,313,399,185,691,066,979,999,320,
478,186,874,893,794,969,033,904,043,945,408,512,980,435,666,716,014,852,707,
063,086,225,840,467,551,714,256,192,687,366,996,429,539,127,233,205,652,192,
924,068,369,873,784,739,014,744,016,607,407,674,170,506,576,072,716,493,623,
401,843,544,467,215,273,034,032,033,107,882,236,391,908,469,407,771,349,356,
560,318,805,467,204,231,703,789,291,591,649,762,591,169,106,670,920,374,528,
400,124,803,793,286,281,316,614,500,187,852,417,646,799,348,489,041,586,685,
146,110,768,818,774,195,263,004,648,067,950,529,006,654,515,501,423,477,408,
439,622,179,045,246,500,924,435,328,471,468,002,340,587,627,977,704,716,786,
574,283,543,939,836,674,606,734,272,287,194,690,153,665,014,082,946,211,592,
540,703,815,302,957,804,955,150,391,638,941,176,596,012,888,074,297,178,315,
226,991,636,871,064,925,442,588,086,389,571,220,137,219,013,664,322,368,817,
390,388,309,450,252,050,151,763,355,428,855,157,998,885,994,592,693,270,967,
891,083,878,337,462,795,410,003,792,911,852,717,790,169,283,629,776,003,845,
123,684,398,688,252,100,757,210,147,653,408,111,742,823,020,334,916,331,764,
637,282,110,252,253,129,735,301,414,168,473,388,447,709,465,020,171,011,525,
797,232,958,895,939,040,979,790,256,547,676,686,078,096,637,737,697,245,811,
709,405,535,011,473,037,921,162,498,668,438,196,648,907,808,731,285,993,441,
445,709,478,444,518,584,947,820,920,112,693,743,346,880,177,628,457,479,302,
782,955,635,872,460,241,597,232,536,777,960,323,499,870,034,065,571,238,224,
451,987,769,390,987,821,308,953,538,400,939,131,886,218,048,412,970,129,147,
510,219,044,657,970,584,894,659,461,509,866,534,379,023,325,483,571,465,288,
402,000,677,876,740,577,869,194,000,191,027,225,489,332,299,470,927,278,283,
438,301,364,880,700,757,533,171,232,869,337,758,304,427,592,034,236,503,471,
424,706,024,946,326,591,278,664,795,009,132,005,880,180,407,195,498,728,344,
786,961,717,118,603,963,219,315,839,916,754,533,147,846,985,896,086,357,365,
114,607,137,289,945,550,173,847,646,176,561,053,866,838,881,180,683,080,303,
560,244,664,074,440,946,770,224,955,083,803,590,414,202,777,284,161,771,788,
225,685,076,058,844,465,805,765,036,298,298,233,602,256,301,700,675,243,413,
732,515,349,286,052,531,654,528,125,127,698,105,277,389,966,750,737,671,362,
016,610,105,254,897,376,000,961,125,617,498,747,797,885,055,897,510,536,103,
862,272,960,445,107,507,961,199,372,739,726,634,495,480,532,199,964,586,976,
115,273,778,823,185,543,701,222,035,057,192,180,916,242,059,604,771,975,107,
194,855,423,424,234,743,491,470,115,081,925,615,257,714,814,257,785,408,165,
694,811,257,262,150,159,080,366,879,336,449,979,268,797,611,054,180,504,872,
646,124,509,671,250,420,211,047,692,555,269,523,318,511,898,435,390,443,303,
901,683,784,673,905,519,994,412,021,026,454,266,913,098,752,186,925,116,362,
887,008,369,578,675,870,697,496,282,726,968,626,589,077,103,784,604,668,606,
237,289,399,000,033,626,429,713,202,760,687,976,212,058,498,751,985,583,890,
246,188,605,448,811,530,071,730,139,751,805,363,085,195,896,228,080,059,286,
844,915,385,853,454,653,290,648,502,166,498,244,885,793,117,060,940,628,823,
360,392,747,634,209,374,300,434,599,465,997,040,074,262,200,200,686,048,268,
517,841,712,244,183,081,722,746,082,713,979,802,873,711,265,260,888,179,312,
965,728,960,175,873,835,055,192,939,577,577,022,959,276,570,699,540,769,882,
740,765,899,605,846,373,012,704,998,685,276,543,451,838,720,594,995,053,194,
442,871,518,749,393,771,164,703,365,637,534,807,881,631,251,701,561,441,274,
825,968,104,546,483,753,941,747,183,582,919,064,917,333,077,768,337,191,983,
742,306,674,274,448,928,919,461,658,978,799,912,710,147,388,323,151,010,006,
060,162,741,801,279,077,676,699,579,474,927,291,797,537,084,686,685,832,489,
942,193,585,593,126,233,791,219,772,803,676,656,023,325,613,166,832,733,125,
787,755,055,609,627,549,450,503,529,047,928,020,900,382,518,526,234,068,333,
472,443,434,936,283,128,403,990,607,992,876,073,426,352,853,238,771,749,411,
864,166,282,128,496,080,684,093,989,195,682,721,332,390,963,725,645,886,788,
167,770,549,444,152,405,574,651,793,310,298,376,320,504,874,112,193,723,447,
087,422,862,524,933,973,249,516,988,712,065,238,697,497,522,231,560,734,152,
535,163,147,449,988,434,652,516,389,818,672,714,054,437,592,543,330,218,034,
031,847,734,330,930,932,948,048,015,883,064,580,396,404,155,274,993,087,103,
235,432,069,889,768,634,776,513,330,286,737,040,701,512,070,189,641,831,674,
105,151,635,839,785,824,981,137,283,261,690,250,950,092,149,198,136,815,763,
727,433,883,291,508,408,041,724,029,268,011,451,670,346,223,127,403,059,486,
662,533,579,058,056,471,587,567,787,724,118,182,239,005,603,632,012,615,582,
230,757,538,251,272,397,031,496,400,628,042,569,415,229,133,236,017,766,868,
603,778,723,104,486,453,024,524,332,889,426,768,299,039,120,734,602,492,134,
367,376,923,159,300,073,371,758,779,315,483,124,019,552,847,731,173,926,041,
425,359,993,351,972,978,768,711,050,529,483,297,012,057,797,362,235,561,750,
313,033,382,550,905,335,212,825,091,670,439,641,904,002,508,574,313,148,983,
751,524,271,264,000,990,190,372,774,796,294,375,134,682,089,527,105,746,304,
510,350,211,689,209,625,694,471,735,335,462,857,449,665,970,497,421,713,498,
466,593,773,136,372,881,034,439,464,216,153,281,549,271,185,712,843,162,283,
483,456,736,789,786,785,381,279,820,254,120,828,034,973,667,813,267,136,251,
557,661,982,181,357,445,692,047,186,845,267,627,495,386,115,516,936,144,339,
515,149,874,352,092,636,254,206,206,055,945,730,347,165,553,307,609,030,490,
383,159,102,415,393,894,622,255,626,783,086,273,719,287,932,515,234,990,996,
590,986,249,133,865,507,918,414,787,400,689,389,278,555,746,966,407,293,611,
554,060,347,928,041,349,661,910,955,827,112,670,911,571,386,816,317,876,377,
185,437,844,422,355,570,843,239,526,679,923,600,270,841,381,119,139,135,750,
351,017,914,096,926,152,231,208,616,408,662,951,309,445,262,628,862,535,463,
557,419,963,218,738,467,630,451,693,887,514,520,553,540,516,798,331,371,567,
511,023,173,684,669,320,657,369,461,927,815,756,521,539,315,530,678,707,714,
136,807,758,753,385,927,366,312,480,464,272,195,168,156,163,306,176,494,899,
441,174,612,269,089,140,124,999,778,645,247,235,352,208,758,566,701,613,355,
077,511,095,823,625,500,082,422,242,331,317,529,289,575,506,502,320,873,143,
509,098,577,746,662,445,151,956,285,373,386,297,959,924,633,484,477,884,993,
524,537,616,987,809,016,959,188,726,865,036,710,421,787,550,986,128,393,235,
759,558,739,647,362,086,656,724,192,135,818,016,051,245,293,334,701,830,876,
194,468,491,566,889,838,228,570,994,419,375,149,286,823,772,878,702,676,592,
438,401,002,393,854,665,379,337,050,619,177,238,895,424,864,740,450,860,088,
140,500,442,366,093,018,773,454,175,271,367,477,943,444,560,900,363,146,837,
767,735,703,149,969,765,143,550,026,854,237,232,888,257,334,528,143,736,665,
587,960,792,159,483,707,673,959,761,741,569,678,011,150,775,862,862,374,354,
504,855,600,989,508,062,318,179,892,129,954,528,351,263,382,533,866,844,841,
538,653,416,933,785,229,682,820,667,369,383,676,186,407,465,074,413,150,273,
794,421,634,673,833,591,359,482,911,171,212,479,009,707,722,541,518,254,884,
055,799,079,012,895,939,795,122,247,437,115,128,144,000,927,461,739,726,728,
537,049,184,533,716,269,112,439,600,046,314,758,890,763,043,812,228,007,248,
767,221,088,002,474,898,762,040,466,360,199,690,277,854,054,247,979,635,418,
062,268,394,083,999,887,257,121,736,861,078,695,982,557,445,983,166,123,905,
041,235,983,863,099,136,613,973,856,898,324,736,130,492,650,227,182,881,666,
721,526,671,582,196,509,903,997,618,279,513,575,844,700,042,284,278,697,761,
935,435,363,051,577,499,574,438,820,607,436,626,786,385,089,250,161,242,410,
126,693,036,977,581,820,919,758,278,843,350,057,537,214,312,069,078,569,662,
530,507,212,145,840,864,074,448,157,163,643,145,869,375,854,615,463,976,441,
265,549,446,241,132,792,340,602,403,590,440,391,323,837,386,231,171,385,639,
562,433,689,785,405,809,820,510,564,651,255,038,213,957,653,347,048,050,520,
994,566,870,772,852,116,811,892,131,145,983,286,175,782,128,936,636,475,473,
596,206,742,423,528,877,088,456,091,528,824,395,738,047,377,119,721,689,578,
342,881,936,947,216,150,065,313,218,491,154,839,194,884,380,949,342,699,143,
375,740,365,820,968,324,623,278,162,961,236,399,995,289,926,535,566,671,667,
807,929,111,120,415,424,533,284,649,351,908,097,912,227,121,160,862,429,652,
823,726,245,549,383,145,000,748,457,083,012,153,320,106,359,418,864,915,194,
180,068,281,975,119,486,545,000,853,173,886,095,839,228,799,743,944,815,609,
742,462,599,100,960,914,929,375,358,590,918,289,908,317,922,117,615,553,443,
504,755,803,912,810,348,425,216,620,553,460,997,950,567,824,638,589,969,294,
571,431,340,211,658,038,797,102,488,983,177,725,642,982,703,108,517,283,564,
779,424,772,457,844,359,698,508,618,381,241,162,012,736,577,071,395,664,915,
692,444,356,799,312,131,475,104,742,780,573,830,582,524,610,595,312,980,625,
708,910,246,472,256,784,160,728,910,128,130,244,219,515,221,229,209,468,262,
677,837,801,564,066,568,766,869,964,443,863,255,755,584,323,283,405,593,026,
449,152,417,802,963,833,645,816,287,816,656,352,686,766,920,049,329,111,817,
075,729,227,360,777,979,653,107,036,954,236,964,678,283,673,344,058,842,603,
843,850,789,308,729,411,319,379,714,254,873,637,519,821,839,373,438,659,464,
212,227,154,828,386,849,475,952,522,859,439,702,117,325,616,931,383,364,334,
583,115,854,274,244,387,803,396,570,488,534,875,244,629,979,625,260,117,118,
998,279,687,757,154,638,521,945,422,016,178,855,139,159,811,388,840,520,812,
014,638,249,908,688,898,924,260,681,091,452,431,758,670,642,671,909,541,694,
948,458,272,992,268,359,028,065,273,675,268,828,941,436,204,581,966,097,898,
875,567,353,062,679,924,451,994,480,152,892,880,337,820,382,405,163,232,440,
567,560,316,273,902,738,403,970,050,916,166,170,669,491,321,488,229,966,644,
949,432,594,357,509,541,731,361,611,300,556,392,151,772,271,022,340,211,558,
497,721,974,248,762,196,377,332,183,224,972,576,053,675,838,802,201,137,281,
692,361,386,525,518,680,553,964,409,576,686,480,241,058,281,846,381,871,964,
484,450,762,836,306,244,298,116,716,913,885,470,565,947,137,805,205,205,265,
687,689,539,591,060,992,634,835,007,394,615,770,052,943,919,294,008,719,306,
300,667,503,697,715,389,524,143,152,758,140,585,050,642,666,882,130,400,382,
079,984,119,507,253,736,995,582,782,142,030,439,096,333,128,468,275,397,099,
375,735,971,805,064,178,695,978,222,495,678,122,835,942,335,569,601,977,494,
473,632,303,717,281,563,678,819,294,332,091,212,500,073,516,783,480,127,331,
939,494,609,524,976,678,605,723,076,639,182,028,334,087,035,518,239,813,974,
901,128,799,017,738,425,773,506,541,224,636,096,076,003,070,238,711,052,656,
036,544,525,085,274,100,719,816,035,249,465,379,476,193,950,019,912,135,989,
620,700,746,459,142,584,614,333,116,803,163,115,628,683,261,900,626,643,135,
664,778,541,013,453,754,157,212,611,966,022,083,504,186,125,985,095,270,247,
653,444,192,792,266,538,536,348,411,973,437,150,417,799,181,425,243,322,190,
746,383,723,456,486,368,088,317,211,119,225,609,890,244,487,912,334,535,682,
807,976,561,853,892,703,933,979,352,037,947,044,483,648,963,244,251,703,048,
958,415,634,908,534,400,891,656,539,135,651,379,532,423,113,768,290,160,923,
401,253,913,446,869,192,475,577,537,363,070,948,455,595,983,290,193,747,707,
660,466,585,357,129,937,908,036,713,539,642,422,712,041,814,534,330,838,742,
747,834,882,070,510,429,819,331,026,257,357,735,469,298,531,216,918,655,507,
717,825,623,434,444,014,507,890,862,582,395,575,927,357,535,117,947,372,642,
463,637,700,810,710,864,415,049,508,958,093,508,370,870,114,091,997,252,921,
072,884,657,277,833,071,986,415,269,087,703,414,791,717,117,796,361,949,927,
172,004,755,966,763,484,089,790,733,063,654,479,458,399,435,392,187,078,257,
911,638,453,430,839,339,387,250,576,390,061,128,012,294,421,649,817,365,323,
058,165,459,867,326,265,193,909,672,433,242,852,023,002,912,712,659,891,331,
817,526,575,309,547,450,542,154,145,786,360,673,522,474,756,476,456,830,880,
142,827,155,003,962,144,205,362,065,662,098,209,842,354,398,761,326,204,815,
886,759,928,053,195,195,922,621,539,177,467,913,326,814,539,113,249,589,958,
677,430,947,074,924,933,654,392,633,144,466,371,153,841,000,098,655,564,359,
319,629,994,458,983,928,609,325,611,926,797,220,079,724,688,893,979,894,916,
059,344,139,618,356,490,301,358,618,785,690,136,899,044,800,734,381,307,226,
512,597,642,982,991,016,281,777,695,970,318,183,046,763,414,370,450,765,770,
447,311,155,676,961,238,788,580,860,579,243,444,935,070,414,178,897,549,449,
603,940,990,955,613,865,205,507,710,854,278,650,075,402,623,441,560,623,504,
273,654,834,659,061,239,728,660,868,841,906,987,994,629,566,883,924,156,797,
683,405,698,201,344,180,671,988,027,884,302,220,060,686,515,914,358,701,931,
971,734,047,183,079,419,731,763,888,232,769,202,408,797,738,274,934,377,623,
947,841,686,748,916,588,299,730,113,387,496,899,063,727,396,752,792,906,536,
094,218,138,185,984,658,662,966,678,536,366,397,702,455,227,773,821,305,748,
308,156,190,221,608,640,278,577,087,577,138,975,531,448,148,701,830,045,106,
138,982,265,924,029,562,537,394,321,343,637,356,927,349,867,594,393,422,398,
124,920,053,711,971,777,022,893,542,248,596,396,280,036,846,920,528,143,611,
593,110,145,011,039,369,110,470,717,954,501,340,174,043,650,008,841,625,541,
284,806,231,396,431,291,335,944,336,583,276,933,707,938,399,619,632,622,089,
195,353,184,896,337,811,996,060,274,824,268,735,192,353,506,167,852,525,875,
117,482,733,479,143,174,943,023,086,166,905,919,125,195,501,788,259,070,531,
202,079,098,526,691,982,518,551,103,965,957,138,543,114,483,697,721,943,263,
647,545,164,328,435,971,805,667,933,502,641,326,683,411,116,772,820,201,816,
099,296,469,051,906,040,376,505,335,503,234,401,178,846,115,698,346,680,140,
289,168,612,718,383,553,507,007,906,884,382,033,011,215,790,734,396,002,889,
907,867,579,800,174,718,135,547,204,119,335,942,475,892,950,929,076,835,141,
613,644,882,847,026,858,994,507,903,908,501,824,188,708,470,941,994,651,815,
448,353,653,098,110,522,421,124,091,509,958,156,968,917,677,794,578,454,501,
575,553,907,597,222,372,906,051,991,580,901,501,746,976,311,443,279,716,851,
407,813,644,240,397,123,756,397,036,115,400,617,419,331,390,212,680,058,341,
213,036,044,577,411,727,814,723,386,963,519,813,416,096,062,361,813,398,349,
280,805,556,440,459,282,531,656,500,835,735,226,579,812,939,220,918,351,843,
434,263,680,291,577,421,202,039,731,196,816,219,648,311,594,093,980,620,716,
559,810,209,130,358,908,175,876,237,073,519,785,738,427,890,163,972,532,571,
184,662,319,120,123,199,097,580,019,364,243,797,653,753,318,412,578,520,404,
341,565,582,576,078,883,123,650,526,972,323,774,910,003,286,131,144,582,294,
933,027,481,019,384,133,823,158,951,669,761,505,838,874,012,279,401,182,718,
152,000,803,349,743,243,527,376,823,012,876,011,154,894,121,345,186,539,612,
674,516,529,728,248,537,315,936,041,494,220,813,740,247,752,847,230,956,912,
272,350,667,693,846,139,022,049,359,137,481,442,485,112,881,613,221,085,235,
851,109,832,470,363,861,126,838,932,699,794,421,085,865,741,590,700,013,806,
497,844,104,490,249,440,342,360,729,839,266,436,642,557,254,591,932,499,639,
511,037,168,917,893,521,398,022,712,260,418,271,593,510,658,287,594,833,802,
983,985,578,624,318,961,942,792,346,052,771,252,277,055,533,929,726,933,059,
888,442,129,731,026,638,579,379,169,199,808,545,174,515,131,796,871,604,991,
118,813,076,923,918,110,939,822,788,502,298,267,472,842,635,841,859,761,727,
994,526,496,019,151,312,285,607,311,701,058,947,370,336,909,549,547,766,449,
316,168,677,795,556,009,084,455,009,315,005,308,882,915,427,101,436,180,492,
520,910,136,916,068,888,220,480,961,620,712,684,226,010,500,053,727,012,115,
175,515,060,574,842,187,459,154,946,333,818,537,609,835,666,324,834,581,208,
915,777,939,809,972,830,334,631,135,529,638,523,324,999,460,882,530,785,273,
489,593,614,677,528,825,635,387,222,857,410,401,093,985,552,067,102,867,971,
809,190,908,269,808,790,675,094,925,472,008,785,719,922,362,645,469,299,231,
483,535,299,591,944,500,997,731,250,913,027,061,139,926,799,276,788,455,111,
866,455,288,782,168,174,612,916,640,178,677,503,657,903,071,921,111,760,644,
334,933,144,077,978,142,683,525,226,017,010,113,759,536,096,061,856,630,405,
250,924,265,349,678,201,857,633,552,204,621,219,120,759,987,022,879,323,865,
760,926,938,506,646,154,784,845,014,624,369,438,221,789,282,327,389,994,816,
803,101,641,041,174,013,897,915,945,001,375,255,038,280,001,444,048,222,333,
181,851,720,345,091,189,855,496,120,361,406,956,916,048,437,157,657,163,263,
305,927,039,458,617,962,935,356,187,324,728,688,052,856,180,314,577,039,104,
901,441,062,497,743,997,719,699,040,977,770,739,540,067,186,668,624,883,976,
117,186,350,997,489,492,235,049,884,923,724,886,118,429,529,143,174,477,729,
717,197,783,604,695,406,492,995,301,397,721,848,137,135,738,278,347,537,560,
311,046,536,427,070,633,244,359,289,122,390,456,359,746,982,679,960,683,362,
104,533,136,219,467,102,085,259,511,548,430,295,182,155,256,343,469,657,788,
242,698,414,561,825,444,946,168,416,943,131,483,382,235,270,514,077,262,277,
270,854,753,385,980,838,792,016,344,984,291,630,518,939,060,059,225,975,129,
959,472,212,232,552,497,721,268,054,368,463,974,881,291,339,551,460,860,498,
703,621,079,433,268,579,963,771,045,220,155,456,072,396,679,731,572,597,247,
129,329,015,171,995,364,052,656,724,055,171,859,921,013,545,320,055,430,851,
708,667,604,095,392,472,370,322,035,738,097,076,393,378,132,662,832,319,698,
872,378,994,876,695,021,752,659,704,312,889,559,229,713,300,491,463,356,394,
443,505,989,222,955,670,027,483,076,963,806,895,538,397,753,344,432,463,435,
617,912,404,263,937,105,107,361,678,600,892,409,856,947,813,625,687,096,196,
001,999,479,709,028,963,830,468,445,593,840,862,739,881,263,185,278,164,492,
511,268,242,914,627,346,046,079,323,054,002,929,492,692,431,735,456,665,973,
622,374,396,775,782,241,473,743,147,046,788,106,683,439,281,405,059,046,686,
928,045,973,798,756,407,013,268,725,151,016,863,234,164,049,305,902,265,739,
406,548,544,323,133,757,926,249,044,766,321,842,714,133,271,004,530,313,497,
241,206,984,858,796,103,059,331,112,443,403,615,984,757,691,593,052,055,746,
826,232,059,342,963,889,331,131,074,870,033,469,084,002,521,263,306,373,096,
004,844,099,672,882,845,986,997,531,405,637,617,432,361,196,041,797,243,453,
600,283,880,941,304,918,250,278,754,413,325,416,032,229,752,397,824,772,124,
213,184,858,252,491,186,538,709,307,593,557,411,501,937,283,086,552,036,225,
608,569,789,575,122,193,255,541,208,684,798,709,969,462,574,807,208,028,607,
730,652,328,122,077,562,107,168,849,529,644,070,252,185,627,295,971,257,007,
767,759,366,936,250,621,107,306,219,230,399,088,880,358,142,885,800,970,451,
031,187,552,804,143,838,001,061,045,301,719,419,234,865,161,596,105,592,970,
302,343,804,935,444,142,687,600,763,352,680,620,481,619,961,052,309,630,996,
621,302,896,385,044,594,625,522,282,677,753,337,626,416,495,533,438,358,640,
326,916,292,038,915,507,064,803,943,974,886,167,605,922,479,212,622,273,384,
313,271,782,724,229,748,001,263,315,581,350,490,072,874,428,815,894,298,522,
401,965,581,471,288,507,587,647,573,025,979,677,586,651,288,592,476,641,554,
851,390,740,111,618,278,544,392,046,539,063,933,178,149,821,493,937,747,919,
864,347,401,490,664,159,828,242,285,607,047,166,101,852,386,583,500,753,480,
030,749,635,004,233,761,702,407,023,488,304,811,077,937,398,970,762,802,502,
329,384,995,264,386,386,228,201,719,449,306,648,827,118,794,765,089,975,868,
232,696,058,546,606,280,401,304,328,366,835,495,055,093,121,602,302,822,257,
028,594,393,550,701,457,842,114,853,784,389,830,982,097,123,125,153,114,616,
838,315,201,772,955,522,507,469,309,020,122,334,342,989,324,376,475,878,020,
218,533,532,752,843,712,186,083,986,764,712,028,517,943,315,135,122,223,747,
899,213,521,710,098,563,774,868,762,731,649,468,647,418,261,008,426,430,170,
074,047,700,911,482,909,044,714,495,975,402,652,999,273,118,222,588,773,013,
238,623,168,834,294,405,900,189,214,515,566,914,045,010,176,648,025,626,185,
174,538,377,817,354,372,351,497,751,009,696,473,721,918,860,064,444,354,236,
648,774,326,790,362,291,718,938,285,670,161,085,067,521,092,296,563,425,173,
048,534,228,309,977,654,329,241,834,254,942,945,999,408,643,289,856,253,705,
785,119,046,653,760,333,543,042,408,363,223,683,652,097,736,777,399,932,170,
965,907,733,529,585,320,714,820,888,816,296,665,788,677,298,671,656,258,017,
980,157,853,026,133,935,735,199,928,280,639,081,984,944,043,654,996,741,602,
868,714,208,401,264,555,991,702,297,624,017,482,655,974,935,211,484,149,666,
071,204,585,837,820,864,742,405,596,208,374,908,319,726,077,184,287,269,546,
080,652,378,218,134,482,047,815,252,130,259,755,175,003,154,634,768,134,734,
946,559,662,401,701,031,986,112,150,267,811,025,053,292,535,287,298,214,116,
524,132,325,034,963,566,594,103,954,858,328,637,946,305,152,064,676,986,900,
684,151,714,129,017,430,959,488,742,588,290,656,032,453,468,668,205,960,408,
861,770,842,891,817,838,775,905,075,868,270,499,179,780,847,244,126,496,730,
944,632,604,589,074,709,682,050,895,224,136,593,540,927,327,443,664,874,084,
361,951,561,203,691,161,883,829,986,036,008,977,934,118,861,627,631,422,203,
473,073,610,674,691,553,731,287,467,298,782,608,399,593,546,637,210,861,337,
485,631,336,002,391,684,688,357,980,110,477,476,700,859,329,026,060,623,118,
610,372,514,894,069,196,081,501,141,051,619,242,684,150,124,169,184,600,682,
851,289,912,122,778,724,171,728,561,877,632,963,703,380,144,871,122,431,838,
195,099,573,801,391,709,742,353,136,172,343,147,672,409,846,143,345,596,053,
844,117,195,052,700,003,386,294,092,396,406,547,681,532,377,597,672,411,691,
350,899,827,817,351,837,705,905,135,112,903,526,717,543,845,386,482,601,689,
177,597,033,792,456,846,980,089,408,658,668,758,754,490,244,940,471,978,472,
741,126,376,338,486,133,010,749,258,247,997,371,433,554,402,165,589,263,520,
433,034,915,891,871,735,648,017,566,348,447,353,834,871,468,481,192,002,370,
193,125,491,601,449,390,438,417,978,917,852,464,304,309,359,736,685,122,808,
016,254,100,662,224,401,993,645,816,086,661,098,860,221,199,386,143,650,688,
864,672,056,823,170,496,304,993,607,004,224,916,286,720,169,001,761,053,255,
575,584,055,643,157,940,679,549,393,498,625,336,617,308,903,443,465,070,473,
496,314,567,307,603,283,804,205,167,776,207,826,377,235,238,451,227,116,117,
938,517,214,251,405,871,685,945,513,560,295,476,970,663,488,147,676,150,383,
331,124,238,091,405,530,372,416,196,426,382,661,425,991,465,858,467,662,817,
117,962,465,521,982,678,358,784,321,573,865,798,210,214,174,535,320,560,905,
413,923,731,411,526,100,796,407,940,430,728,633,919,667,047,326,532,783,145,
912,306,925,872,052,172,751,031,135,982,234,153,019,161,087,580,210,499,976,
190,893,779,884,153,343,712,324,791,349,770,180,736,636,348,721,021,455,360,
396,695,820,218,638,717,534,018,636,295,221,268,007,459,583,505,929,947,919,
541,121,384,047,628,018,050,238,634,769,247,097,325,422,618,679,250,461,848,
729,635,419,048,327,168,611,117,315,750,904,833,970,180,717,926,891,862,874,
927,968,616,736,458,392,655,714,173,011,598,577,609,141,208,630,944,460,081,
647,434,720,309,821,934,851,029,887,794,407,806,996,304,971,103,888,383,820,
996,059,140,198,800,556,180,388,262,682,793,453,854,004,118,138,837,008,976,
826,952,149,237,010,019,053,089,128,169,154,730,732,119,423,036,861,723,128,
518,519,185,953,593,154,840,719,304,153,432,337,349,520,883,092,714,146,290,
375,149,859,725,507,401,374,300,160,417,836,348,409,354,552,050,343,883,146,
860,768,605,090,172,414,294,758,638,046,166,135,554,614,177,823,603,739,945,
075,946,783,737,277,377,987,521,406,678,656,730,697,627,509,547,655,928,153,
838,086,833,225,638,535,688,697,348,374,191,999,225,500,757,570,960,118,541,
222,468,894,548,402,905,743,348,688,645,924,470,517,894,532,552,849,612,509,
198,898,722,363,756,050,059,684,957,717,246,663,537,255,782,641,957,958,917,
863,323,116,529,588,797,663,059,473,611,750,446,862,259,522,334,661,537,862,
221,386,433,823,286,267,533,460,441,066,099,535,726,314,144,932,490,155,492,
817,852,044,640,123,912,293,378,212,400,621,388,328,287,664,247,227,708,593,
365,355,970,261,877,364,356,594,168,743,070,300,273,331,878,064,331,660,546,
313,844,848,818,168,855,377,095,438,836,243,761,466,805,176,508,012,022,200,
466,062,036,228,411,387,825,777,486,692,195,068,802,588,906,187,301,501,794,
231,565,418,472,520,593,320,699,695,548,568,750,250,655,486,982,626,861,147,
366,626,620,033,309,342,388,778,216,593,462,984,570,496,314,709,412,980,541,
737,355,810,832,043,377,886,470,143,815,503,535,660,700,758,906,291,443,039,
174,740,461,933,052,585,932,039,598,250,615,932,758,188,666,062,594,823,017,
186,859,168,188,334,615,142,148,268,609,724,544,372,905,010,728,786,644,176,
323,802,944,365,773,396,712,138,433,507,739,993,804,623,249,375,519,097,117,
753,033,872,346,283,307,117,219,776,331,802,309,712,977,720,187,712,599,663,
479,308,289,623,489,606,883,272,504,652,023,131,948,980,848,083,106,674,324,
522,441,005,080,678,873,241,032,504,564,108,059,334,987,404,381,904,148,774,
516,428,200,970,855,841,752,352,748,698,714,129,620,077,862,386,162,232,161,
673,314,939,404,419,547,913,971,616,991,328,431,940,038,473,690,887,976,105,
795,269,084,394,210,182,968,466,673,595,728,816,458,636,017,030,033,958,183,
777,945,459,229,634,619,805,619,424,181,922,178,759,900,622,950,139,541,221,
290,947,734,727,396,481,009,588,715,418,664,146,103,040,112,741,415,052,755,
895,794,970,279,450,245,933,812,693,708,581,142,961,708,442,357,770,229,079,
780,213,811,267,826,606,541,407,003,788,232,459,930,766,700,732,305,615,288,
150,734,276,005,488,998,938,607,636,854,742,675,279,728,460,294,249,997,870,
321,491,384,960,258,119,654,348,005,040,308,861,792,581,972,889,776,257,353,
035,675,886,435,425,143,308,722,088,183,127,416,634,481,729,290,198,542,094,
127,673,020,059,243,001,794,613,513,307,748,901,116,690,757,766,331,451,425,
791,538,581,152,978,358,863,898,078,330,683,542,544,650,192,465,724,945,389,
577,573,428,783,763,872,600,315,751,968,254,925,129,217,223,776,832,854,202,
254,080,357,902,598,286,383,537,156,323,121,001,669,898,771,864,159,066,316,
651,034,477,839,315,456,002,349,438,794,711,055,765,491,318,120,069,550,212,
919,881,797,694,035,460,321,619,491,281,659,450,374,679,669,732,970,539,249,
497,069,796,936,515,999,529,940,465,470,940,373,346,479,560,006,228,191,637,
729,925,594,325,851,512,462,185,142,932,649,649,447,425,007,763,607,556,576,
019,510,647,552,037,333,127,898,327,236,313,996,523,286,011,435,889,735,069,
334,156,555,814,614,460,625,493,414,908,777,209,660,492,398,898,716,709,064,
461,287,898,894,521,736,594,623,150,848,410,624,662,675,590,218,786,748,321,
510,141,656,603,864,176,138,758,424,143,381,140,154,332,664,758,142,739,107,
429,746,130,890,104,384,487,939,019,758,488,323,418,447,809,679,644,159,986,
766,274,087,157,189,290,591,569,495,750,011,655,453,376,963,871,022,607,975,
056,600,148,861,928,999,677,649,288,342,833,432,941,704,193,762,152,683,647,
617,457,556,369,358,175,216,630,657,618,043,104,742,569,020,403,703,524,280,
237,832,972,841,828,367,263,175,029,735,225,333,705,589,521,644,212,513,127,
141,551,684,046,273,266,006,816,937,482,578,979,413,056,490,401,663,001,433,
409,096,731,833,044,442,292,192,918,046,995,984,562,083,213,205,066,861,991,
237,307,047,044,566,635,897,219,196,874,897,751,717,141,098,954,841,016,478,
737,629,939,283,082,762,666,085,749,326,000,084,470,296,060,543,186,786,497,
986,519,188,501,438,158,627,393,011,655,904,252,839,396,417,898,307,717,215,
947,984,854,295,570,037,060,511,211,064,197,161,696,792,669,982,958,246,775,
207,623,409,482,185,105,703,186,765,874,392,107,317,145,831,818,339,563,931,
340,548,657,759,796,230,741,068,926,909,554,796,348,613,604,869,916,331,356,
284,297,672,933,573,839,230,526,453,383,918,007,930,597,290,095,672,326,511,
679,091,964,071,574,295,318,276,553,751,531,648,274,569,899,539,301,235,017,
431,050,715,315,803,939,076,431,271,662,037,046,538,497,486,660,883,950,838,
831,555,839,773,775,282,267,793,766,747,171,062,379,812,457,165,379,346,680,
076,797,786,801,442,716,467,609,713,377,189,979,476,888,972,279,345,120,438,
540,785,132,000,870,155,931,768,884,827,031,494,381,965,694,426,159,345,073,
826,107,445,490,226,606,557,136,100,629,801,638,210,251,878,782,297,546,047,
490,540,322,877,301,336,741,519,979,696,459,528,000,364,228,417,124,004,365,
020,709,680,248,196,788,386,246,946,453,297,865,637,105,124,694,149,267,163,
632,598,197,656,249,135,057,462,947,693,670,289,943,074,070,311,058,413,052,
014,323,211,637,630,413,289,759,603,996,387,490,377,304,331,317,071,575,757,
973,811,454,134,566,724,014,443,352,369,472,003,997,457,533,497,854,792,371,
789,445,606,271,106,736,241,165,382,963,014,347,320,405,172,797,963,102,324,
689,247,092,671,951,371,836,561,010,333,666,102,099,291,405,212,909,495,437,
586,090,419,840,882,350,419,588,311,300,952,886,245,508,553,306,060,855,257,
208,106,328,360,284,642,476,057,276,240,276,057,006,286,537,511,324,271,201,
383,623,337,010,326,153,769,112,459,702,139,800,898,053,260,708,186,835,180,
683,547,133,367,913,563,279,528,706,504,330,902,712,849,761,653,398,945,612,
146,439,558,463,669,785,773,995,254,166,284,585,975,173,316,062,812,663,885,
903,332,509,988,429,325,624,475,980,468,376,926,709,583,319,968,045,352,773,
042,909,644,770,939,984,225,940,316,151,556,559,833,657,365,690,864,189,498,
388,539,564,587,300,680,192,467,671,733,516,650,848,232,621,176,358,692,480,
537,013,342,096,229,575,827,031,436,115,895,756,122,836,087,202,396,742,765,
844,901,251,506,290,813,477,951,306,140,710,951,241,986,656,102,537,104,160,
995,188,612,579,207,866,847,545,502,137,041,833,004,086,578,191,650,887,884,
789,053,399,237,636,821,736,853,916,614,157,570,129,067,403,939,822,799,705,
520,108,561,598,528,756,546,136,489,794,045,696,724,791,800,956,455,742,912,
438,727,762,827,710,210,646,229,629,767,212,433,324,594,305,808,548,963,513,
575,911,920,543,994,304,053,217,834,189,246,028,221,247,428,408,459,527,501,
393,002,377,393,083,092,031,372,942,342,222,076,816,723,897,247,873,577,812,
449,076,182,487,367,563,842,285,134,123,294,459,527,645,953,654,042,137,119,
721,870,442,331,253,513,580,339,755,844,965,262,098,980,925,296,578,165,890,
907,310,725,722,270,991,258,065,086,614,650,856,714,302,781,940,330,701,273,
785,406,713,036,681,932,961,456,081,588,702,380,761,567,590,581,817,206,626,
651,506,763,865,855,296,122,893,309,284,611,301,726,957,628,880,849,312,735,
901,606,084,283,577,791,962,328,337,048,376,808,617,062,372,463,223,349,810,
980,904,173,578,650,085,870,992,785,662,894,226,242,184,045,392,455,910,678,
648,214,647,681,062,433,390,854,920,540,491,344,024,340,490,387,182,277,605,
071,125,842,786,202,000,287,961,813,245,703,673,917,348,691,697,989,491,008,
457,552,710,604,107,276,604,033,341,601,859,485,785,799,326,670,697,441,222,
635,591,179,483,866,172,955,096,121,682,157,336,472,054,020,735,181,894,806,
733,329,863,249,918,319,090,030,593,176,803,672,272,175,796,038,519,798,456,
276,682,834,853,501,390,414,229,144,421,305,526,954,568,139,397,582,049,778,
215,262,623,399,621,115,353,352,636,966,667,234,931,187,132,127,002,934,097,
751,640,333,185,585,999,635,202,742,629,138,875,119,606,935,299,221,086,040,
417,399,357,587,861,236,818,248,707,291,479,104,321,018,263,627,879,075,006,
243,039,002,597,849,942,045,139,266,169,727,084,735,023,697,896,255,375,239,
146,791,535,090,557,441,620,025,159,571,069,830,668,943,794,415,500,572,538,
624,111,011,601,950,170,762,298,102,337,177,957,049,648,352,449,032,133,060,
541,761,160,220,634,664,575,256,193,418,605,358,391,973,612,856,266,077,061,
001,314,797,859,984,359,446,292,629,798,421,712,578,325,731,603,481,854,738,
114,246,515,994,737,260,140,800,014,381,966,052,761,082,183,498,110,485,910,
897,417,451,819,187,945,088,785,114,213,377,078,027,620,835,434,797,132,540,
153,179,492,188,397,062,521,538,194,841,237,745,521,213,017,642,390,633,504,
415,771,112,208,333,230,011,295,339,565,692,802,992,568,726,460,211,543,067,
982,306,439,922,613,741,787,947,726,137,015,275,791,989,684,613,102,821,055,
120,400,861,585,475,348,602,377,024,509,127,387,386,864,391,743,574,296,443,
796,165,958,765,842,752,969,149,669,703,725,268,024,921,787,118,978,137,163,
833,331,744,080,048,801,421,113,254,581,235,377,438,310,953,246,073,247,687,
013,064,404,246,787,112,615,464,356,253,083,100,308,251,429,250,323,439,855,
642,014,480,212,771,155,360,829,343,224,864,513,740,697,400,856,815,484,089,
058,031,642,477,888,223,746,735,581,314,236,841,794,342,332,611,717,043,291,
841,025,180,386,843,578,144,052,201,059,713,681,574,478,780,288,603,251,075,
124,297,771,561,954,666,661,529,253,205,272,015,861,680,372,803,838,404,936,
605,268,360,133,543,803,279,048,247,853,698,172,283,764,206,268,248,113,120,
655,852,958,139,654,542,685,327,805,489,033,472,450,792,223,315,926,618,248,
524,080,007,900,830,768,805,861,797,457,260,699,123,921,711,254,724,761,414,
565,436,194,160,319,945,150,722,742,819,122,466,113,135,948,136,987,372,192,
145,147,480,988,321,440,014,767,640,450,908,689,759,994,836,398,268,096,010,
723,512,129,513,023,551,523,823,292,989,750,093,451,203,295,853,179,877,644,
123,531,587,872,594,908,048,044,043,469,906,300,976,864,267,425,303,886,905,
903,480,149,038,833,610,323,959,683,104,979,331,279,518,997,040,669,203,020,
669,590,619,914,145,400,119,779,897,813,368,246,657,280,527,664,502,978,373,
519,295,654,710,726,839,098,430,444,865,971,290,824,242,461,850,551,310,745,
724,085,682,364,794,360,905,947,385,874,454,690,947,566,730,736,421,349,065,
071,742,543,787,556,808,376,547,925,473,625,195,613,808,076,294,335,463,744,
321,236,490,132,807,896,953,912,594,628,014,097,446,919,060,749,827,629,833,
416,133,779,045,940,894,715,253,786,032,298,445,143,605,184,212,627,460,593,
976,733,449,897,869,016,506,438,423,770,010,842,022,551,794,365,047,069,130,
476,595,912,660,517,727,904,602,768,004,405,548,654,574,964,059,084,266,918,
165,343,729,798,403,255,064,374,146,339,572,235,983,440,351,319,318,005,115,
194,159,837,100,005,560,581,272,083,972,160,242,117,481,779,711,832,277,661,
285,226,551,580,932,498,593,779,954,006,092,758,435,368,494,737,897,572,096,
838,141,278,754,420,306,597,102,411,307,848,051,720,949,812,640,487,036,794,
303,437,631,646,080,821,226,651,971,545,630,633,025,350,674,031,964,407,941,
071,166,757,209,168,297,659,486,507,866,571,791,065,229,097,337,756,389,743,
938,858,252,985,065,105,082,020,115,347,856,927,748,594,593,442,423,823,782,
548,202,348,319,780,542,769,812,932,665,624,346,162,878,988,387,903,385,483,
661,790,580,076,773,207,582,745,662,687,703,251,491,265,535,630,481,342,594,
392,985,680,217,046,860,754,149,931,926,220,424,150,487,872,210,080,151,640,
541,686,194,293,967,510,170,040,802,777,789,539,700,449,135,621,922,870,586,
875,535,536,672,555,267,432,090,746,914,417,945,132,368,541,957,461,324,742,
189,344,628,628,710,107,691,886,043,066,297,167,145,042,976,299,040,883,307,
136,896,434,129,116,001,062,593,673,206,919,592,834,062,726,311,012,542,637,
422,335,840,972,694,453,149,143,406,522,082,690,265,210,050,404,916,704,258,
220,715,535,773,771,655,747,849,801,210,841,497,339,092,349,748,527,455,923,
837,785,614,394,792,095,783,746,482,880,176,617,330,155,999,956,271,972,170,
632,774,459,517,769,258,001,965,919,714,486,469,203,073,478,140,936,172,097,
654,009,977,419,209,791,992,937,811,370,929,156,637,086,130,093,695,400,641,
737,195,427,368,685,084,110,164,169,577,190,710,737,920,926,453,581,450,707,
477,313,464,308,517,475,792,688,903,869,354,316,391,964,481,896,022,827,945,
983,697,499,272,191,901,563,820,066,324,658,304,150,658,890,941,834,270,122,
999,165,506,401,420,643,140,779,638,666,972,030,188,183,984,861,528,804,436,
166,474,228,154,875,140,370,810,966,188,716,735,317,984,110,936,528,011,359,
799,084,604,631,777,528,434,584,974,741,723,150,976,154,721,293,006,824,936,
849,929,387,265,217,903,772,101,128,813,037,172,282,604,901,693,445,657,724,
529,264,192,533,513,668,450,395,339,363,651,118,047,110,282,798,531,486,560,
596,830,513,296,782,099,371,560,589,938,901,015,122,567,290,209,936,174,166,
749,779,496,786,754,346,835,132,590,095,089,206,049,798,413,603,435,973,389,
669,997,685,300,293,634,940,139,494,818,087,407,279,042,918,934,135,521,620,
746,580,928,939,056,797,322,264,210,052,209,931,306,871,443,714,776,459,884,
402,407,797,432,072,921,216,639,514,465,827,820,784,318,450,698,311,376,788,
145,842,494,774,156,651,824,782,678,384,718,121,161,715,003,346,461,774,767,
976,513,383,166,139,205,330,815,625,693,288,447,397,941,689,692,121,681,656,
659,973,132,959,829,642,835,768,844,816,393,454,918,876,025,788,528,991,720,
349,658,225,101,641,402,086,509,372,821,224,235,311,179,048,037,537,017,644,
174,245,356,560,307,175,050,221,558,965,734,993,815,879,066,804,890,705,967,
492,454,248,951,429,343,138,950,573,004,957,660,971,412,478,037,036,662,229,
729,398,222,989,995,885,106,402,980,743,228,463,338,548,206,613,637,837,098,
367,015,426,815,996,368,449,517,598,275,345,535,165,990,714,605,467,964,300,
113,618,603,715,491,330,070,315,872,739,795,831,244,350,996,129,852,367,014,
444,070,448,950,828,096,651,180,008,602,497,949,169,650,777,235,433,338,382,
483,788,489,201,383,324,613,455,387,663,252,576,679,583,608,503,329,467,951,
019,537,600,020,335,016,587,741,112,720,498,696,953,687,369,073,921,361,762,
563,728,429,473,696,689,687,678,465,975,797,529,909,104,255,070,137,195,225,
843,610,225,611,015,574,666,228,842,830,771,988,132,643,634,403,975,973,151,
795,558,241,647,489,118,172,111,467,404,856,843,260,696,919,229,373,698,292,
169,217,249,435,353,665,998,406,395,010,267,946,315,598,307,586,746,196,547,
730,575,214,822,799,202,087,704,841,387,805,135,148,949,156,853,385,012,606,
267,195,633,451,741,113,524,526,507,158,889,324,776,032,128,647,907,894,571,
232,791,539,339,241,959,859,996,311,388,447,575,396,699,752,430,324,593,298,
551,719,906,322,952,686,778,703,388,825,878,462,324,468,079,645,246,996,916,
259,289,427,726,866,179,444,533,998,492,902,975,983,041,367,334,984,921,411,
746,710,722,677,858,163,514,392,272,621,793,290,013,796,825,477,838,598,061,
343,370,949,605,056,269,570,382,286,398,930,231,310,062,554,552,684,838,240,
065,858,751,747,283,244,427,637,264,419,680,058,399,566,378,354,623,302,828,
743,591,412,290,926,468,910,956,412,129,096,432,153,373,210,225,437,694,457,
892,849,314,430,705,964,008,462,716,975,750,626,800,006,099,416,582,018,399,
426,790,718,555,094,725,127,704,513,860,664,293,683,857,828,766,396,556,565,
221,071,658,428,851,683,134,543,948,618,117,345,375,032,176,571,357,788,476,
169,051,364,445,635,013,848,195,804,037,467,656,566,853,971,941,107,187,399,
017,582,429,666,209,367,735,951,976,486,460,074,143,958,161,506,269,625,731,
974,684,231,093,254,288,236,967,870,010,393,958,402,318,132,347,971,942,754,
005,517,705,268,664,476,417,639,311,143,509,496,637,446,970,229,791,828,967,
460,326,510,886,417,230,859,020,113,764,771,818,569,213,511,934,632,001,440,
386,544,866,564,535,177,194,308,249,615,721,796,712,725,042,967,411,020,762,
088,462,945,724,127,394,457,965,500,044,497,138,553,671,991,735,047,051,956,
384,538,630,639,621,259,640,693,678,185,458,590,641,768,283,976,462,072,328,
437,467,190,134,976,293,605,254,155,730,099,219,531,982,228,715,704,841,276,
049,698,786,050,887,942,854,810,267,926,475,673,838,168,130,826,987,658,951,
566,959,793,553,351,106,971,739,917,987,813,627,105,111,791,101,061,717,588,
453,308,278,772,024,855,852,783,314,681,049,094,268,143,956,680,393,775,017,
661,813,305,780,655,875,790,364,479,890,337,373,214,511,649,127,645,737,686,
969,563,473,312,567,382,187,540,819,023,182,952,993,131,883,078,164,964,511,
727,744,317,553,891,430,242,538,516,717,246,983,521,630,542,032,723,174,964,
611,760,311,711,562,547,372,915,744,117,848,907,084,548,911,603,343,712,946,
423,283,362,200,480,890,746,868,890,133,730,808,283,299,418,147,349,358,100,
951,461,150,630,363,990,482,430,758,676,469,678,822,796,976,163,022,779,699,
150,264,511,668,872,897,368,301,634,028,296,792,814,783,575,273,099,397,969,
071,780,283,786,619,898,454,339,201,530,910,413,364,484,948,107,490,902,507,
119,107,295,192,794,986,097,289,388,187,159,785,902,248,921,071,406,916,865,
061,090,873,246,228,786,094,155,394,659,836,349,686,427,920,023,595,427,446,
896,227,094,913,318,111,713,952,516,623,931,049,033,993,030,604,307,996,684,
491,290,988,966,303,221,598,373,319,820,051,170,895,893,857,543,685,018,099,
082,445,391,255,941,772,553,107,715,840,728,964,489,188,009,021,738,307,762,
195,926,943,670,421,761,292,028,116,833,764,661,974,550,399,898,417,812,110,
811,516,857,001,938,132,597,465,745,862,259,699,308,977,291,704,932,236,473,
896,250,614,043,383,751,916,580,782,298,404,882,077,490,446,497,698,443,043,
465,488,723,631,305,535,924,960,258,918,384,493,859,431,239,105,857,726,494,
555,747,969,537,833,007,504,820,761,091,998,060,640,664,195,238,877,865,999,
115,535,722,392,486,022,544,333,903,262,532,467,152,187,431,844,658,691,568,
950,124,484,545,924,650,417,179,306,641,794,637,417,693,428,620,120,509,922,
426,280,548,363,802,630,919,356,227,306,082,025,909,170,757,088,469,224,478,
799,906,009,598,108,859,549,265,440,654,152,236,410,530,409,836,125,969,461,
494,298,196,047,966,195,803,715,273,463,367,117,733,075,749,095,742,214,980,
633,175,851,330,222,219,082,616,982,898,330,504,535,907,792,448,785,878,139,
821,367,413,675,801,584,616,474,908,293,767,797,706,507,737,815,553,305,875,
593,214,461,376,904,105,148,293,720,824,227,657,192,930,321,345,138,700,845,
905,416,342,734,241,922,416,948,702,535,474,842,027,763,945,102,141,222,498,
309,082,889,322,834,889,661,528,669,406,981,931,594,224,921,289,594,993,152,
127,733,619,615,481,221,555,986,337,822,467,063,987,797,410,332,705,517,865,
522,770,320,020,968,160,863,389,618,065,696,765,617,196,095,482,405,808,074,
399,661,858,887,368,269,957,801,898,581,394,948,027,216,284,213,050,513,444,
492,566,597,753,390,075,894,306,338,380,633,004,737,253,110,225,630,306,216,
225,400,834,190,671,723,460,522,397,707,955,313,577,140,669,789,283,599,188,
463,189,587,371,079,126,433,652,424,534,152,730,050,658,070,070,771,210,585,
665,676,547,800,573,150,968,553,205,057,271,712,565,562,844,102,894,375,318,
999,415,520,130,545,634,739,125,570,647,835,983,806,346,452,257,717,748,190,
569,773,940,357,217,410,817,928,456,376,050,708,177,675,725,059,584,713,315,
643,286,863,424,511,618,740,163,428,595,385,341,284,983,321,412,798,709,146,
917,499,982,426,094,529,343,317,131,199,565,858,035,330,310,997,279,213,246,
172,114,047,037,338,043,972,159,799,403,211,796,027,831,678,733,241,896,851,
011,285,357,351,197,482,635,721,892,251,173,567,740,869,943,082,896,813,689,
183,910,809,362,609,880,610,175,528,622,456,763,804,077,934,253,735,393,891,
792,652,085,087,918,107,337,984,162,084,280,923,509,689,308,023,027,762,274,
794,811,244,935,402,315,808,810,771,177,888,021,097,138,364,998,775,214,552,
292,713,112,218,666,105,174,086,959,964,584,920,958,255,563,639,842,115,926,
985,485,129,057,646,830,744,113,657,880,983,930,469,548,464,266,581,532,847,
106,170,124,826,025,777,192,718,945,260,870,386,926,195,444,493,793,744,848,
568,723,926,761,953,581,921,858,837,486,513,340,472,850,447,366,493,060,563,
574,850,667,304,524,282,056,597,946,697,023,293,432,067,138,301,439,741,894,
029,842,999,005,478,445,612,402,608,728,830,638,345,260,077,772,742,114,044,
742,385,895,757,464,950,704,745,994,119,379,901,116,419,221,655,335,402,683,
350,612,668,045,280,928,697,216,323,808,448,183,525,911,611,820,331,373,846,
081,889,153,013,683,686,827,757,054,526,863,699,220,822,941,526,535,511,719,
075,348,317,681,407,773,304,145,960,162,984,579,293,590,213,430,670,982,193,
157,911,925,629,843,143,926,450,951,984,540,242,539,981,299,866,419,716,684,
954,047,360,809,388,286,567,883,197,270,329,777,966,094,833,077,795,656,061,
830,604,197,631,767,485,609,078,534,892,227,314,171,737,114,894,471,387,833,
428,339,311,426,478,792,574,969,931,591,512,703,682,098,837,649,376,828,447,
387,573,054,876,097,455,531,922,957,260,876,244,466,692,692,591,214,655,112,
312,145,856,018,719,045,228,933,855,521,738,931,420,526,769,167,217,932,633,
066,633,971,311,389,822,195,691,836,488,260,910,471,917,911,391,223,543,747,
305,181,778,467,729,265,520,302,192,458,748,069,717,445,184,264,978,850,647,
633,366,446,872,833,998,007,604,379,712,554,835,107,129,434,083,273,620,779,
622,397,541,502,242,523,361,267,319,517,445,429,238,096,765,298,209,064,850,
148,661,063,453,519,719,850,706,366,955,384,918,977,258,891,564,486,088,285,
792,175,135,499,940,714,209,987,320,502,919,790,502,432,643,427,953,650,125,
247,954,023,720,360,075,554,359,111,972,964,433,545,730,193,028,724,828,836,
844,310,992,922,053,080,424,865,433,408,246,608,345,682,620,556,641,155,993,
745,995,480,142,764,463,802,058,112,780,316,045,616,390,303,752,445,986,905,
415,234,865,029,333,336,220,253,578,483,711,631,836,086,517,622,858,625,507,
902,644,839,853,044,877,978,204,268,091,754,211,473,685,072,087,604,792,239,
047,386,687,012,135,506,877,757,394,319,321,076,871,787,064,507,498,637,865,
282,830,032,220,389,987,127,380,227,911,768,937,017,425,418,118,471,786,165,
389,641,012,152,301,902,292,647,220,950,993,131,595,965,389,293,407,083,031,
602,611,544,016,997,062,824,286,358,693,710,691,380,328,650,577,544,454,446,
766,044,226,729,891,476,325,243,455,982,213,441,773,500,012,978,940,445,346,
442,781,823,248,702,718,372,884,818,270,470,176,628,698,357,577,204,744,307,
790,009,591,177,059,978,689,009,658,906,023,357,787,911,796,101,142,336,064,
655,082,905,153,485,124,448,611,685,752,832,932,169,001,775,499,770,657,935,
127,855,582,314,953,729,630,163,480,558,253,830,465,732,546,154,992,589,724,
868,554,374,364,584,141,280,075,306,603,822,920,303,410,889,954,076,731,608,
960,621,180,840,522,031,129,279,724,959,688,901,255,151,512,895,909,973,352,
917,942,798,873,905,303,777,745,635,165,746,467,575,469,487,602,958,440,861,
166,723,524,680,812,273,856,817,341,128,809,111,566,611,932,070,097,939,044,
784,540,495,265,262,857,917,379,339,330,331,970,760,714,958,479,229,060,841,
180,842,162,725,567,083,717,550,818,963,909,904,426,575,746,026,914,792,290,
356,448,402,317,788,602,854,917,844,557,986,799,356,124,771,530,925,704,769,
618,234,958,962,211,718,863,205,283,942,552,108,001,858,227,473,434,365,160,
482,107,433,680,929,637,430,530,375,403,083,299,832,120,975,040,760,324,657,
768,620,814,758,240,310,746,777,061,030,112,981,698,881,963,954,921,323,515,
212,785,422,303,210,871,336,673,671,936,672,332,508,707,214,046,106,137,326,
713,618,515,010,370,158,862,459,617,056,592,349,997,471,860,442,570,218,339,
237,259,232,979,021,204,340,609,060,804,220,861,592,728,645,043,242,696,536,
034,551,298,033,264,689,295,972,453,771,386,050,312,785,088,197,413,063,686,
709,755,882,890,836,478,636,827,548,705,316,533,863,371,069,164,485,239,070,
989,671,463,476,327,118,190,183,897,167,449,637,513,081,766,092,716,330,553,
039,049,774,631,021,518,234,539,611,342,111,364,738,349,893,135,164,876,874,
718,029,091,693,579,931,385,564,025,288,227,545,412,408,170,843,928,093,122,
653,671,295,085,004,412,036,724,378,906,592,311,730,280,527,176,920,066,483,
954,602,246,391,939,250,767,486,133,363,672,956,332,241,403,962,882,110,442,
959,730,784,318,418,158,535,263,924,969,858,443,141,361,832,420,288,781,986,
468,364,079,060,992,412,513,664,915,435,667,092,775,583,050,349,633,411,266,
812,191,939,792,881,103,385,061,712,550,455,027,232,425,887,980,751,209,334,
691,346,426,903,748,704,264,422,987,957,571,989,265,647,035,223,291,165,569,
259,417,306,618,290,483,879,314,700,766,892,612,851,715,487,959,436,758,630,
361,145,930,992,181,328,153,928,461,758,700,792,104,232,790,130,355,660,291,
243,469,540,988,036,525,493,754,869,426,471,918,472,204,858,039,817,012,952,
546,437,439,050,988,206,285,549,983,846,364,701,815,424,055,631,215,420,267,
312,068,860,644,610,189,542,275,751,078,155,656,494,620,869,915,044,104,044,
126,212,244,885,356,340,844,521,695,296,269,371,022,622,544,699,505,197,723,
726,103,464,542,614,203,694,298,829,169,834,134,172,871,852,079,424,102,499,
672,387,163,573,921,363,409,024,791,817,227,756,359,362,321,769,442,627,799,
732,980,608,753,282,533,949,105,780,732,386,684,982,254,032,359,911,500,585,
297,297,616,508,543,722,840,825,748,917,115,787,550,198,547,446,580,651,418,
129,775,019,774,780,469,901,555,232,309,032,576,933,877,695,027,114,011,521,
131,419,258,691,575,881,656,507,419,389,248,928,557,934,682,507,716,681,520,
858,774,543,418,879,695,019,490,528,423,196,979,958,133,440,644,644,189,316,
804,786,381,486,507,914,279,396,723,271,754,812,864,705,366,705,993,615,709,
588,631,705,034,186,160,011,704,892,614,258,210,008,342,775,198,454,756,055,
372,266,164,853,157,947,977,208,896,809,781,862,718,660,845,801,868,733,399,
801,910,157,978,973,481,593,745,189,233,821,863,796,679,915,754,165,558,274,
984,053,228,205,561,098,398,749,714,455,516,003,339,231,746,911,676,095,834,
353,529,864,642,493,136,600,529,665,445,188,354,066,662,999,042,618,703,865,
657,122,696,315,326,102,808,005,718,526,892,681,128,844,100,676,671,019,903,
653,027,684,237,921,181,154,193,876,128,581,142,719,308,295,962,250,809,768,
434,970,216,247,522,945,614,641,784,784,628,446,244,575,413,808,058,608,778,
170,779,888,467,790,965,597,444,385,959,716,733,060,688,197,285,488,563,307,
530,486,537,135,362,484,073,280,491,901,393,652,171,223,552,182,733,291,754,
832,911,099,440,655,716,954,959,016,325,976,277,214,010,833,691,012,159,582,
013,902,387,817,099,910,112,225,040,464,727,086,390,442,274,823,791,810,954,
891,329,083,987,624,773,827,603,218,400,384,490,692,458,898,870,107,409,852,
799,015,337,294,570,462,341,102,441,133,514,190,083,324,818,277,187,462,405,
119,537,927,102,284,812,279,288,296,223,173,219,029,162,991,334,087,804,223,
211,288,685,121,325,741,636,924,763,310,469,378,702,206,894,333,807,080,883,
104,144,634,379,467,009,618,454,253,648,814,558,637,066,827,724,646,657,177,
212,352,713,288,158,483,320,704,710,858,028,237,959,949,353,157,665,757,783,
685,147,137,043,025,917,748,188,124,671,756,023,156,092,427,464,201,359,679,
806,117,341,137,368,530,312,390,485,798,862,093,037,446,960,376,124,366,064,
693,387,504,144,652,442,197,219,089,058,615,359,243,656,535,826,357,380,171,
952,089,335,691,282,240,495,126,965,679,266,472,202,485,736,158,955,197,080,
876,932,058,812,967,476,256,338,336,894,345,300,218,912,947,851,214,659,031,
923,947,475,293,615,126,567,084,558,725,467,967,770,645,242,917,391,730,692,
551,238,291,763,803,170,447,236,901,829,338,936,742,270,996,433,645,084,682,
923,474,944,029,438,364,579,873,986,650,239,913,690,500,459,745,440,005,455,
829,050,012,636,101,096,080,097,856,644,397,389,364,199,877,165,901,625,894,
526,517,913,863,667,922,958,795,797,683,381,179,369,151,014,961,997,876,623,
648,120,442,828,413,848,054,039,337,159,760,527,090,204,467,504,153,839,338,
534,506,810,727,293,616,082,408,519,759,359,939,975,154,187,553,224,712,838,
085,551,948,489,365,156,129,475,308,379,842,239,259,637,889,609,770,674,592,
977,812,184,122,601,382,168,532,934,717,847,547,523,979,849,963,535,245,643,
257,312,085,420,063,569,549,435,755,966,524,607,441,705,688,419,554,880,756,
284,503,019,216,753,797,857,813,933,109,813,771,338,527,858,154,924,888,116,
888,771,167,811,524,043,727,486,413,781,901,957,458,859,912,824,636,260,612,
129,653,825,447,609,238,000,868,362,346,284,201,746,417,046,945,225,881,366,
912,683,674,938,757,675,996,406,394,309,412,280,967,823,257,070,915,815,262,
699,677,249,258,733,414,098,128,131,239,464,144,222,745,181,460,472,606,882,
283,241,420,917,189,496,011,868,967,290,839,580,458,795,797,424,867,206,393,
488,247,369,150,897,668,201,091,070,069,982,660,877,719,264,389,007,047,039,
208,396,109,264,927,782,503,247,667,043,098,951,522,566,935,819,740,235,346,
072,953,135,193,271,259,391,812,435,338,227,188,812,471,658,077,778,334,994,
503,373,150,021,462,681,017,547,737,222,557,805,374,358,413,845,283,067,318,
671,152,291,109,601,223,056,963,524,981,134,561,920,860,039,128,019,926,028,
044,356,122,294,835,146,463,424,123,865,302,435,596,384,985,500,385,832,249,
207,303,028,579,820,989,446,993,779,342,818,817,701,987,056,279,689,492,199,
146,679,584,929,881,326,678,962,523,531,961,899,117,944,441,187,707,663,646,
081,100,523,599,375,890,811,959,477,293,945,302,986,700,261,939,640,021,102,
191,315,661,947,344,636,100,862,088,327,329,981,540,518,948,645,199,342,087,
437,117,001,417,947,782,128,595,972,177,832,469,595,409,351,243,396,428,370,
899,030,529,323,731,947,425,641,819,972,119,905,873,167,588,575,040,130,985,
960,945,472,220,259,327,545,699,196,423,230,303,972,003,365,310,462,682,766,
503,190,583,038,827,972,427,480,324,310,462,375,158,278,302,355,353,639,499,
647,839,149,722,367,407,088,008,841,448,353,931,747,916,938,981,841,916,090,
506,874,997,968,168,969,174,855,646,641,254,463,250,650,704,536,527,357,700,
335,780,037,719,199,220,238,841,052,534,962,962,328,181,217,504,109,655,004,
922,373,285,018,072,640,839,144,435,412,814,191,994,009,275,439,379,723,415,
183,605,964,769,780,696,373,610,223,882,296,975,572,918,194,837,018,350,046,
266,035,118,992,914,450,664,422,554,200,024,547,696,867,918,927,570,918,221,
855,242,418,948,564,733,062,618,589,076,845,647,450,648,066,161,435,624,109,
859,183,462,328,090,364,095,066,718,737,848,074,043,359,782,347,977,249,215,
363,458,017,171,416,115,663,221,915,718,264,521,585,125,980,303,604,657,363,
689,598,104,215,606,054,407,960,898,235,075,300,556,411,365,415,612,178,799,
286,790,809,478,976,015,989,278,791,202,773,484,025,011,182,172,826,158,094,
829,346,589,042,384,223,027,824,000,461,304,896,214,744,462,423,314,853,740,
799,149,208,816,651,864,558,412,510,480,568,848,267,449,567,328,554,068,834,
303,110,984,500,584,883,829,569,435,803,455,417,351,095,732,290,056,366,861,
020,945,539,536,013,626,521,369,397,974,064,704,712,830,051,868,561,487,142,
134,543,828,912,608,619,658,203,306,690,042,031,434,989,742,853,651,804,609,
324,733,007,926,158,487,041,543,153,892,724,875,209,322,185,497,377,762,071,
722,117,766,161,697,610,928,500,956,438,190,586,125,948,839,540,570,929,794,
606,616,062,645,996,389,837,518,580,569,409,989,643,969,943,392,486,125,579,
211,421,938,931,951,172,570,517,448,083,014,409,756,410,734,351,582,098,341,
650,694,812,245,742,566,447,464,106,066,008,039,635,744,942,668,867,628,678,
317,913,560,677,445,509,129,039,471,123,044,231,726,176,556,774,347,730,186,
563,425,393,777,290,099,745,776,639,394,715,604,789,551,370,942,509,647,006,
303,285,706,810,900,938,089,950,233,113,979,980,713,998,003,586,682,543,084,
939,251,562,202,147,027,176,748,132,512,378,016,029,548,539,992,638,617,046,
311,437,099,309,073,561,231,823,992,287,961,542,425,540,028,866,279,276,072,
818,754,296,193,583,304,888,780,456,219,209,294,771,179,220,220,238,311,496,
068,213,737,452,647,596,547,523,988,162,246,522,341,195,869,806,495,370,812,
272,441,276,232,309,378,591,771,338,377,178,836,418,146,149,972,595,153,845,
135,889,265,459,094,049,412,999,127,242,936,578,922,007,088,668,311,122,486,
601,807,850,836,309,621,005,506,196,491,654,725,935,750,558,300,113,923,951,
499,682,327,115,013,392,950,711,948,179,581,752,820,243,589,494,414,436,052,
063,389,119,827,666,507,431,228,220,141,988,356,821,625,880,056,688,544,743,
039,906,803,486,377,812,975,421,167,928,227,148,010,871,075,234,678,235,195,
834,284,025,287,139,079,330,458,274,190,878,386,079,621,218,489,059,545,068,
771,725,186,560,198,570,032,097,338,145,978,085,412,587,519,681,395,301,292,
799,930,051,470,282,003,723,220,415,065,088,060,228,005,668,559,242,672,210,
411,496,429,595,186,489,386,264,791,801,868,880,559,494,778,817,971,674,250,
556,361,626,526,245,294,955,137,997,968,623,832,191,789,998,727,421,229,510,
348,194,810,549,040,691,415,439,254,948,299,371,398,364,248,207,389,027,451,
169,168,455,720,147,619,480,622,817,753,464,250,907,395,568,404,337,490,502,
060,619,096,120,928,406,074,561,112,251,029,977,779,289,626,495,248,993,455,
017,950,493,987,353,400,205,595,101,415,787,808,634,150,668,623,711,554,533,
086,114,020,936,831,932,271,455,510,310,436,086,193,592,853,690,982,210,736,
327,854,519,774,773,663,413,536,650,197,361,325,251,768,425,613,353,718,767,
960,157,107,285,953,438,145,203,804,642,942,595,399,948,326,393,998,937,741,
804,055,782,599,922,731,269,816,272,822,543,435,653,496,388,060,028,401,940,
960,450,814,691,261,823,333,797,193,959,121,133,149,268,064,092,766,350,473,
199,282,182,255,929,632,516,427,718,226,090,042,392,928,835,405,051,442,628,
751,250,233,826,468,145,939,139,310,907,745,960,314,777,160,829,873,580,365,
519,252,907,510,343,848,661,945,113,111,923,961,850,028,219,454,849,231,505,
584,203,102,765,893,018,680,199,195,206,546,893,951,534,636,812,782,785,084,
323,593,555,274,293,917,400,290,267,652,134,703,974,341,652,105,064,797,392,
720,621,279,538,085,162,654,945,942,205,730,359,518,435,796,765,931,182,454,
690,973,486,080,202,416,342,939,639,036,233,152,874,546,371,889,641,424,344,
570,028,282,743,271,303,255,689,114,262,593,269,493,347,039,633,758,214,640,
904,955,493,055,710,978,607,975,492,627,615,493,230,199,887,905,835,055,723,
381,014,312,919,836,228,599,599,264,441,011,299,926,959,872,764,338,435,672,
336,883,634,837,314,686,566,880,558,428,247,469,309,909,826,875,838,781,104,
596,122,571,103,791,117,689,225,958,556,615,840,855,628,929,577,032,623,193,
143,942,152,435,459,565,655,165,675,165,915,792,223,187,171,942,458,584,743,
192,003,647,151,712,418,120,276,200,862,523,623,018,419,680,501,756,556,263,
250,400,794,191,869,021,210,489,775,694,871,150,197,261,345,246,629,544,107,
268,765,265,536,983,406,269,894,919,720,040,723,654,956,517,296,038,827,385,
994,264,336,587,660,780,134,268,823,480,418,607,208,774,656,126,113,083,968,
456,871,504,397,967,374,742,164,572,776,741,875,798,865,278,538,944,367,795,
493,011,776,037,243,819,016,400,764,884,684,501,140,126,137,384,717,636,841,
250,419,997,957,800,340,982,273,537,111,249,224,790,412,709,789,872,979,405,
298,273,990,327,716,275,787,537,762,483,917,744,051,386,937,680,306,420,523,
431,368,952,074,395,390,124,079,100,714,341,546,962,294,754,697,276,707,292,
886,577,771,116,365,719,649,802,720,459,325,780,206,214,012,037,796,841,611,
878,729,848,147,838,324,236,131,691,097,515,349,489,361,167,912,687,674,620,
416,243,631,265,084,224,171,343,759,044,715,348,941,764,440,056,187,377,945,
360,796,663,972,052,173,402,502,132,135,440,551,948,843,672,228,642,767,647,
511,676,056,301,271,393,864,873,935,546,514,402,839,653,916,234,131,974,439,
101,482,976,568,757,434,034,731,898,632,711,993,223,256,413,439,737,295,344,
542,930,593,919,289,119,307,551,667,054,149,557,903,717,238,562,484,843,947,
595,695,805,057,935,997,652,169,001,253,767,015,922,261,712,351,434,243,613,
575,852,649,935,677,643,548,073,996,749,816,966,366,663,044,279,475,000,891,
840,545,257,624,487,518,243,032,652,218,387,144,804,465,932,648,810,804,273,
224,618,894,577,656,785,145,573,910,454,074,037,601,743,606,453,683,441,158,
198,587,271,742,055,757,899,061,358,271,070,491,319,432,997,128,706,656,280,
032,574,270,750,647,580,110,871,105,167,964,306,871,076,766,447,947,570,777,
678,825,732,219,384,018,689,204,475,192,187,151,077,001,425,884,783,981,955,
159,254,192,838,475,802,598,317,870,269,848,765,125,417,583,549,655,660,133,
875,564,934,064,218,103,014,293,718,701,526,998,450,854,902,612,196,444,466,
854,914,164,005,605,600,435,029,498,520,356,575,914,680,242,694,702,991,232,
781,857,401,959,946,229,574,479,690,022,922,635,825,206,446,079,906,451,904,
576,882,151,006,188,979,867,820,037,181,469,910,609,951,855,142,248,803,278,
137,930,632,336,582,386,037,521,232,401,065,271,022,205,231,291,511,867,847,
174,610,535,760,073,800,596,997,279,681,357,621,066,493,858,185,942,539,629,
820,133,806,995,891,156,470,624,206,266,832,010,137,469,813,084,820,864,455,
590,292,365,813,650,680,867,204,258,522,035,656,225,581,837,389,907,523,538,
652,996,586,859,989,221,388,167,735,509,799,497,395,650,740,330,607,929,335,
280,347,713,569,415,425,501,242,409,047,794,322,989,241,722,292,433,669,139,
402,056,651,169,219,371,317,082,681,179,935,579,909,653,947,152,063,748,877,
894,904,801,356,445,571,602,220,796,063,098,246,915,639,529,988,364,140,116,
957,129,259,441,136,835,327,351,404,621,681,846,123,051,364,654,516,152,485,
994,470,245,995,292,062,970,476,777,316,989,386,186,905,622,728,189,701,931,
217,000,309,539,994,089,086,539,390,719,704,309,879,645,420,159,677,693,199,
145,453,803,760,736,619,255,252,144,241,916,217,675,218,185,229,628,699,016,
372,023,507,699,757,012,822,664,383,321,953,213,453,438,503,519,329,586,718,
805,121,256,551,780,798,294,624,695,970,759,791,973,897,907,983,911,571,756,
170,183,588,239,096,199,260,832,064,604,900,530,111,394,767,083,478,597,081,
410,361,079,789,535,035,394,873,697,357,043,431,719,944,345,876,830,274,753,
893,165,467,120,277,587,491,207,731,424,138,182,917,694,795,958,693,536,553,
905,644,846,941,549,859,505,399,887,186,154,254,034,875,599,208,097,270,384,
273,517,441,146,323,878,034,433,679,310,906,434,569,250,352,995,588,779,518,
712,783,094,343,854,413,297,012,295,031,190,457,289,943,368,481,907,263,313,
712,906,027,155,946,953,554,463,492,246,585,883,712,410,684,639,616,534,625,
636,804,173,149,923,762,719,594,556,962,804,756,807,078,880,093,249,021,668,
340,672,408,548,199,122,875,159,088,286,439,494,197,379,218,550,704,704,138,
011,601,996,979,482,188,704,507,148,822,148,064,394,378,696,535,749,998,249,
200,193,722,817,867,015,634,609,567,109,183,654,221,542,235,454,548,225,351,
657,746,538,039,213,878,711,947,747,361,986,500,134,714,847,960,358,105,927,
027,285,391,742,113,608,160,392,682,021,535,866,328,134,494,558,111,747,384,
406,668,114,597,799,953,145,015,221,712,989,451,752,482,333,309,919,952,878,
288,130,255,502,428,409,780,137,614,064,096,364,632,521,333,134,842,272,830,
425,457,438,443,392,201,801,770,305,875,435,441,377,376,782,251,759,679,392,
983,950,895,125,758,746,903,041,925,374,810,971,554,042,107,079,395,179,662,
110,361,221,302,069,133,294,954,692,262,728,891,431,877,575,312,703,543,204,
671,517,024,951,411,553,401,059,245,961,939,594,963,790,663,612,348,702,923,
145,773,315,721,956,971,002,282,038,278,952,568,454,910,014,158,280,481,022,
493,819,767,891,213,049,326,230,697,047,382,162,062,870,604,264,671,463,816,
269,439,437,351,701,763,614,201,679,015,546,240,796,081,455,291,275,548,430,
298,078,067,723,839,512,823,686,857,779,290,822,230,472,846,664,362,510,169,
302,108,286,280,360,952,541,827,125,808,421,191,224,006,794,618,823,982,886,
517,634,099,832,526,096,405,323,536,331,138,813,430,635,204,943,197,444,048,
159,024,672,636,292,732,620,896,518,505,985,100,559,923,089,797,945,378,248,
100,670,926,322,381,463,921,267,951,945,949,407,851,966,533,006,761,604,571,
786,585,918,522,893,572,059,758,363,431,771,498,679,531,233,939,807,460,231,
180,630,137,027,751,435,906,042,254,601,716,437,024,401,886,836,684,712,013,
465,688,078,483,753,750,057,875,164,693,523,290,739,119,742,854,856,690,610,
983,099,720,447,603,467,159,956,112,921,051,568,860,768,849,809,836,518,841,
844,459,282,276,263,808,487,615,054,901,942,847,294,905,166,561,993,301,719,
111,890,041,379,602,813,678,616,753,226,328,140,929,818,474,604,814,823,437,
230,175,954,928,543,082,509,027,135,717,209,603,492,489,844,390,851,899,611,
212,365,582,216,295,676,358,530,321,974,616,536,805,902,185,665,652,981,312,
366,528,507,942,069,837,447,692,491,132,647,476,643,940,368,525,314,971,585,
923,152,012,086,052,185,047,479,544,373,355,710,844,426,925,452,584,455,015,
068,964,428,703,987,581,411,834,939,199,966,553,548,590,095,822,614,914,616,
822,096,050,505,797,546,072,674,609,792,644,361,116,843,649,062,736,962,531,
273,659,695,549,382,799,000,998,524,768,236,323,991,472,533,623,947,990,631,
073,553,939,416,312,613,788,593,690,367,957,241,495,646,576,176,943,781,466,
899,241,945,092,648,703,101,965,469,307,347,229,258,134,163,473,295,480,852,
102,136,451,153,266,844,107,399,264,841,618,935,137,421,175,563,431,953,295,
593,796,924,217,441,470,301,275,584,162,269,675,665,788,843,572,632,852,218,
692,771,730,762,641,896,968,260,623,276,359,486,426,563,948,065,644,503,053,
393,660,266,001,344,037,317,586,158,142,559,983,606,469,605,746,332,495,251,
781,982,132,422,629,822,674,045,050,968,845,822,987,415,329,103,666,316,446,
283,681,127,743,751,949,071,622,368,549,245,514,128,831,331,794,392,331,040,
209,005,216,073,267,802,703,014,336,403,970,062,291,002,258,863,253,363,196,
544,469,882,937,211,276,456,438,035,192,731,632,318,003,104,790,194,377,232,
863,848,475,244,296,539,875,611,686,468,920,909,582,170,944,874,186,549,441,
081,782,067,353,331,899,336,001,914,740,645,454,286,166,856,381,653,613,932,
634,237,569,607,043,190,510,495,296,185,875,469,384,230,037,595,342,154,355,
787,645,347,811,117,236,396,717,096,038,587,906,676,740,143,020,496,473,266,
813,193,368,067,847,118,198,570,992,451,025,227,945,689,974,625,667,905,227,
601,674,185,827,781,796,214,216,477,584,623,020,626,829,214,715,563,144,187,
312,902,033,964,412,590,302,324,603,622,420,953,248,361,847,715,646,849,867,
249,547,875,015,501,892,576,124,384,832,862,714,638,269,302,316,050,540,066,
948,051,475,841,750,537,723,278,529,281,595,239,263,629,879,839,045,155,244,
545,160,786,859,561,927,141,742,124,182,533,800,850,528,381,893,052,472,668,
724,638,925,451,000,800,089,911,085,347,875,214,726,863,942,337,965,336,753,
721,088,724,492,313,912,053,311,144,361,572,371,906,439,281,291,418,729,785,
250,094,538,405,639,724,680,836,877,912,385,641,378,255,193,204,021,551,728,
486,679,016,487,479,664,989,867,573,847,116,101,351,473,899,836,143,605,647,
347,316,846,776,958,723,242,650,401,107,276,468,479,697,215,049,344,048,183,
561,880,001,946,462,237,218,635,616,914,448,517,362,671,308,385,784,071,379,
205,106,362,013,751,889,625,292,652,145,350,355,260,188,129,538,932,150,624,
729,948,442,344,619,797,592,200,768,565,960,883,289,049,729,155,689,218,349,
975,057,102,771,905,102,525,144,237,603,223,455,782,763,658,454,344,845,189,
606,955,729,848,744,322,264,240,991,736,769,896,348,040,907,762,826,093,553,
873,439,502,177,331,256,127,405,198,331,157,603,327,125,711,097,190,478,386,
251,276,216,240,636,795,926,347,607,819,551,354,071,079,904,024,121,485,478,
897,382,709,580,510,582,451,865,679,864,627,154,451,502,914,395,038,338,695,
872,816,794,144,728,709,177,779,800,568,757,456,028,456,490,413,138,501,977,
986,049,307,045,705,976,956,879,395,479,774,253,871,965,414,087,073,593,815,
850,369,453,381,672,469,160,731,869,170,212,948,643,462,888,086,401,963,733,
298,912,378,482,748,458,420,019,566,195,424,651,431,035,767,814,761,720,568,
713,108,035,617,415,729,184,457,870,022,494,020,466,316,357,156,988,309,581,
831,678,058,861,678,563,641,415,679,325,471,958,623,453,869,676,821,544,843,
960,180,354,324,288,521,370,405,419,085,463,624,908,375,200,672,341,276,112,
008,134,916,491,599,783,634,599,944,734,091,116,605,215,717,114,342,409,091,
694,484,266,979,459,758,279,504,465,024,285,562,258,763,036,673,995,515,148,
461,370,094,142,560,278,021,393,204,502,788,289,224,923,431,758,180,347,530,
849,719,311,833,258,159,044,685,880,935,890,466,199,234,453,238,644,301,155,
771,937,732,404,690,766,857,434,454,415,318,634,703,702,784,498,333,483,837,
410,181,591,693,097,465,936,322,439,425,421,306,697,938,746,688,948,006,594,
802,255,826,083,528,120,337,196,257,811,639,021,493,790,755,076,292,922,497,
753,726,156,574,624,109,451,184,905,184,882,932,579,470,951,964,176,181,291,
788,209,446,341,606,324,004,324,850,046,670,311,683,916,212,863,536,968,821,
676,687,943,985,795,075,238,628,991,206,523,590,469,223,932,101,935,098,991,
744,059,907,303,836,569,110,344,391,434,930,505,553,750,319,650,399,747,291,
278,814,422,414,289,065,981,656,324,365,844,955,953,564,790,309,279,934,748,
210,362,397,755,981,709,287,491,500,446,363,990,062,681,858,760,667,692,646,
027,479,498,034,249,648,494,022,955,923,582,785,509,124,969,221,588,473,128,
360,015,269,445,152,759,813,341,765,954,803,457,207,306,289,150,267,622,882,
490,859,468,037,067,725,912,346,094,182,267,861,438,611,747,703,572,987,424,
381,477,135,199,092,893,891,904,594,087,375,381,736,000,021,862,438,753,958,
823,464,689,352,533,110,002,316,963,512,074,536,097,640,223,796,908,478,429,
788,139,015,484,175,551,451,721,373,313,804,596,580,713,367,778,878,100,833,
040,011,557,671,627,287,816,699,140,973,476,782,329,655,316,838,271,504,901,
623,322,146,747,780,611,305,163,600,726,650,729,313,797,813,514,673,798,442,
315,696,634,626,801,922,200,534,008,326,596,035,320,829,513,916,201,663,945,
840,610,777,484,945,198,490,521,317,551,336,654,826,727,226,930,818,546,740,
955,414,739,168,374,538,952,898,514,163,953,455,344,063,814,619,375,786,321,
833,231,594,954,667,515,472,371,030,693,900,449,319,027,290,603,994,319,720,
094,434,540,200,381,039,929,395,954,460,359,044,305,535,609,176,290,540,301,
349,641,487,990,797,974,852,995,493,310,175,574,450,455,607,372,852,008,583,
215,121,226,452,323,561,847,814,629,978,373,118,773,437,149,788,349,988,327,
750,746,235,383,546,481,257,549,714,348,309,496,749,274,682,119,364,107,939,
437,537,863,828,616,270,674,588,622,260,175,832,931,669,319,818,447,267,083,
349,630,270,501,267,192,954,497,487,440,625,176,561,245,553,747,485,531,890,
495,572,445,737,358,177,714,864,350,837,489,669,602,497,051,924,407,460,775,
137,936,540,670,355,670,184,473,986,921,275,791,521,530,256,767,720,505,268,
318,690,761,977,027,178,277,479,511,154,923,003,319,475,650,390,104,887,003,
983,840,588,088,339,521,492,789,042,411,376,058,799,832,229,993,688,311,036,
861,172,484,830,538,400,620,676,909,792,218,761,274,409,586,080,293,587,861,
524,310,265,389,165,842,420,015,878,409,512,327,948,350,039,881,561,110,503,
251,635,098,503,637,063,987,006,698,414,412,179,382,591,538,813,143,485,989,
871,657,567,274,218,731,461,415,755,310,304,828,891,108,457,977,682,920,502,
667,480,669,905,028,254,731,329,675,108,963,724,740,847,005,738,174,012,391,
821,399,318,572,398,196,794,098,285,491,336,560,479,812,299,776,273,260,345,
760,881,279,411,622,021,273,767,878,743,425,467,207,020,005,735,294,273,551,
711,638,996,226,044,905,819,006,085,233,687,634,527,192,283,516,049,923,945,
181,965,201,180,797,319,291,445,881,624,596,087,483,490,110,641,884,718,359,
902,335,857,850,321,188,776,410,785,220,401,557,630,012,743,099,883,284,342,
782,557,838,934,014,854,259,366,611,027,642,055,261,928,859,391,148,516,926,
686,193,371,190,169,767,406,254,422,164,917,418,005,426,597,765,595,822,179,
100,572,740,709,381,991,425,585,500,337,953,005,958,254,339,142,038,973,817,
363,418,147,968,001,806,938,630,233,995,359,141,900,585,385,634,597,425,290,
763,135,130,425,436,911,710,384,979,976,652,324,215,399,801,820,816,620,672,
587,310,269,470,855,212,927,660,627,844,095,892,976,477,186,534,959,527,549,
287,514,369,046,150,996,257,726,334,220,849,715,472,653,752,295,563,329,321,
344,048,576,995,194,415,928,891,915,226,155,101,296,133,314,953,289,374,765,
838,398,076,870,782,580,423,365,135,468,974,920,928,426,730,890,401,986,145,
059,948,781,837,887,163,668,972,901,026,227,241,095,653,549,075,153,865,577,
137,616,225,981,090,768,528,469,584,550,740,753,302,855,407,301,488,142,104,
373,655,478,655,103,182,720,396,500,024,028,185,532,900,220,274,844,638,163,
641,550,645,467,014,122,346,162,258,777,350,359,313,339,914,555,948,710,107,
890,838,971,437,337,189,709,259,286,092,960,408,556,265,731,652,302,427,462,
284,623,076,170,435,317,634,159,783,720,715,309,859,521,445,279,840,616,024,
969,878,455,945,702,830,613,104,370,881,431,570,514,435,334,010,518,224,621,
012,254,340,060,409,615,476,877,921,254,019,527,373,573,788,760,269,853,412,
757,754,465,043,392,818,647,015,423,705,089,565,713,721,636,466,379,204,397,
683,415,498,106,692,737,428,246,849,625,465,956,278,029,387,664,770,589,642,
822,425,646,707,195,170,440,239,015,268,934,279,299,954,778,015,586,647,744,
017,434,335,977,773,004,965,492,279,114,984,625,555,389,399,885,511,873,225,
697,772,327,944,779,791,058,323,796,153,051,185,590,986,195,695,469,989,182,
568,506,983,490,978,629,303,641,904,243,240,085,675,857,617,457,035,339,735,
475,652,505,135,336,992,706,061,456,782,853,055,717,067,484,978,963,635,533,
100,038,542,411,827,745,233,393,713,463,794,093,603,881,324,860,610,794,399,
620,523,085,045,617,734,326,610,651,626,256,772,146,563,437,994,608,626,315,
406,126,158,340,441,113,736,240,911,680,644,568,632,279,013,880,017,178,030,
852,649,166,375,017,577,000,876,035,905,402,014,152,277,480,317,913,607,283,
415,573,728,039,084,079,165,660,352,653,441,137,022,463,786,185,166,215,680,
634,456,132,404,320,836,319,235,306,394,872,997,340,788,587,653,732,204,691,
780,108,113,742,836,808,047,023,753,531,995,254,055,236,527,573,169,850,203,
183,664,612,999,972,238,306,632,325,651,380,125,858,939,157,134,842,257,195,
080,739,869,046,246,324,209,419,912,379,809,678,132,914,071,298,731,246,553,
093,015,888,662,671,074,731,838,458,287,278,860,382,196,688,424,914,778,569,
030,751,065,689,850,767,686,442,113,241,835,552,573,101,028,581,136,616,503,
998,581,096,598,311,116,071,566,042,244,950,225,265,227,305,311,864,055,694,
628,488,392,250,127,826,081,200,259,325,888,565,294,869,429,879,842,240,663,
895,821,445,597,036,377,642,489,390,150,537,460,881,924,629,560,505,553,740,
968,081,688,923,860,458,778,837,559,061,309,235,540,808,909,247,446,288,792,
070,764,665,418,776,871,110,519,337,503,608,959,905,642,362,016,873,796,971,
630,976,940,095,113,432,162,578,865,500,015,105,055,386,013,295,931,148,210,
926,757,390,599,546,846,424,881,268,963,815,999,842,789,853,375,664,779,240,
940,233,478,927,473,240,508,381,200,607,264,894,568,478,612,135,869,324,820,
575,011,531,379,792,823,541,954,625,981,139,277,968,826,286,932,213,614,494,
630,632,583,921,378,345,220,004,061,970,117,672,855,398,278,909,801,932,316,
743,531,500,889,856,214,351,527,467,610,647,574,996,140,838,492,973,266,173,
204,090,361,733,217,334,759,095,929,999,487,319,566,779,179,120,176,397,889,
840,185,731,845,289,302,015,608,673,549,171,466,096,175,645,750,747,670,439,
455,485,986,124,715,532,600,250,305,875,238,690,059,528,190,241,162,812,241,
118,014,571,076,793,929,997,617,253,596,077,199,314,229,321,568,979,196,257,
886,877,098,134,885,701,532,393,360,698,001,567,526,622,989,362,001,099,355,
709,292,563,557,941,561,498,949,033,514,677,014,537,569,272,392,371,853,085,
261,477,256,707,814,494,253,879,204,686,429,030,360,725,433,442,174,847,055,
339,909,186,721,167,625,497,402,403,545,588,882,820,924,915,153,765,974,018,
282,395,084,396,335,071,884,509,093,827,041,615,427,979,092,191,632,901,457,
385,256,229,971,735,668,193,838,547,635,478,393,320,669,166,483,401,431,378,
543,858,660,718,746,366,180,437,314,538,339,216,750,293,347,728,455,211,847,
214,012,778,122,317,431,772,921,239,913,792,159,715,846,857,159,468,133,095,
566,034,621,468,367,322,472,159,749,301,272,219,695,602,941,016,656,660,407,
062,324,632,548,791,416,752,869,719,220,274,446,570,962,524,684,191,203,146,
176,398,359,189,202,143,126,877,349,309,134,022,130,628,088,952,800,603,908,
869,957,589,865,614,576,536,790,469,264,359,231,630,612,544,777,015,564,934,
856,015,316,720,975,024,539,591,732,008,856,579,873,565,376,854,581,718,921,
673,630,662,299,922,964,768,285,587,113,783,318,275,467,117,555,285,468,839,
730,715,218,062,717,643,385,996,267,316,317,304,453,433,848,078,414,299,089,
792,183,534,720,449,998,101,305,473,887,515,121,752,715,218,470,033,627,003,
083,508,630,306,317,270,211,266,934,355,498,581,912,427,683,161,360,818,078,
734,643,855,681,659,848,889,425,891,343,163,389,048,653,694,477,964,432,854,
492,709,057,897,043,761,770,433,723,806,513,360,567,915,652,718,130,101,959,
536,985,268,692,208,017,788,832,472,566,609,015,406,100,763,181,801,228,703,
036,975,416,543,967,575,629,817,936,054,878,138,358,454,516,996,611,134,924,
554,946,426,730,381,196,864,185,345,031,425,957,263,092,082,630,379,511,905,
619,313,320,482,233,940,072,572,280,959,869,805,487,392,695,909,846,834,288,
048,551,741,564,876,661,396,294,750,244,619,645,645,048,564,535,162,439,981,
090,277,366,345,245,139,812,443,307,775,991,820,707,417,441,706,272,713,701,
136,101,475,197,538,097,345,852,770,953,364,607,030,087,796,476,476,378,860,
127,328,603,464,570,735,877,548,745,169,886,917,616,885,961,816,304,104,030,
823,140,033,581,211,813,275,890,080,314,438,433,042,366,889,811,601,494,076,
689,438,646,260,079,919,822,821,427,115,165,422,384,392,762,381,491,529,261,
179,229,146,240,929,196,783,041,039,581,661,053,779,809,415,208,083,766,279,
460,690,111,165,202,233,009,385,067,058,335,511,266,238,401,286,951,561,918,
709,251,990,885,520,065,717,221,910,790,230,319,952,058,753,691,840,929,302,
849,045,025,584,486,247,281,773,968,176,940,714,590,639,407,645,553,139,782,
115,917,747,990,450,832,616,301,579,283,379,456,519,869,884,912,329,914,341,
051,774,451,593,237,168,727,889,141,209,688,444,912,875,135,233,352,439,729,
848,592,732,267,197,150,976,656,329,170,778,250,397,022,160,549,664,817,538,
319,492,265,196,369,567,424,481,697,387,531,756,401,656,862,560,574,386,855,
485,973,359,485,705,354,681,421,862,261,945,743,797,763,926,708,779,226,431,
358,360,667,934,061,280,846,548,699,852,344,197,753,273,453,045,584,529,102,
786,135,848,156,712,119,547,923,901,778,139,413,533,993,596,616,252,652,627,
553,488,888,932,667,881,673,337,691,046,459,157,412,378,878,315,852,427,806,
586,174,377,626,802,889,787,688,165,690,185,101,565,796,832,589,946,295,048,
255,967,700,660,704,243,868,889,926,160,088,642,315,112,716,520,469,973,028,
850,465,563,548,104,171,469,952,838,447,222,471,093,776,136,365,367,541,577,
728,973,934,711,165,970,549,958,410,980,196,043,827,757,240,543,646,099,708,
457,662,928,564,833,479,398,439,374,366,620,424,230,572,464,170,082,999,468,
442,494,144,806,732,000,606,712,477,977,799,461,395,476,438,542,184,375,368,
340,950,538,882,987,717,349,472,858,812,314,890,504,068,423,373,714,583,787,
872,247,297,773,802,261,297,033,342,555,327,424,820,078,934,621,814,230,718,
536,908,288,657,965,417,992,773,475,753,315,421,474,327,690,394,805,263,668,
593,341,763,680,161,590,662,632,457,042,109,371,428,473,280,216,888,396,580,
687,617,213,544,345,137,080,684,071,003,111,154,166,851,202,341,596,725,815,
559,710,434,200,622,301,182,064,683,822,770,782,240,133,069,729,498,079,036,
648,386,177,692,957,986,659,344,305,315,623,200,844,672,456,458,464,316,182,
690,733,669,790,067,573,762,351,658,951,338,120,036,024,958,683,134,979,620,
202,564,782,717,198,109,182,907,523,175,259,130,011,920,808,097,570,083,012,
795,795,891,729,030,178,084,843,570,360,295,825,746,755,343,727,470,676,560,
461,050,686,839,121,713,627,200,730,833,607,837,614,070,766,257,046,390,834,
520,597,618,498,678,476,852,065,150,019,281,125,415,561,611,574,485,605,791,
485,536,146,832,417,733,574,271,407,520,152,056,868,831,590,980,335,545,494,
425,128,089,467,067,465,505,309,112,804,879,485,909,950,050,155,284,677,684,
847,276,310,297,052,146,724,814,131,511,546,104,008,904,616,494,096,895,400,
584,561,059,106,589,471,168,097,721,353,931,334,816,537,968,910,913,519,833,
507,159,100,475,679,998,867,531,548,887,907,292,914,976,582,282,624,659,301,
593,088,971,351,052,496,012,279,353,555,641,168,505,566,544,379,556,529,763,
360,857,852,944,750,153,125,583,305,918,925,195,689,888,200,878,493,339,966,
542,215,861,626,447,512,618,705,904,844,351,178,060,281,386,616,909,702,208,
278,983,102,190,089,390,149,461,182,303,040,607,524,083,803,973,711,247,065,
622,784,685,728,680,324,618,189,585,965,073,096,167,925,236,891,192,529,605,
743,158,112,821,496,511,525,251,302,974,895,049,228,193,621,907,063,075,295,
952,143,851,253,150,885,309,434,510,308,735,277,958,342,635,492,485,199,279,
287,002,279,627,192,112,064,136,292,958,985,301,750,006,115,666,088,348,573,
583,960,224,690,703,205,161,134,500,143,530,786,455,711,056,475,581,332,082,
411,740,960,437,913,094,725,879,112,453,024,239,157,633,584,133,677,651,037,
698,966,954,274,415,437,008,870,813,085,898,150,917,550,299,489,247,177,206,
860,242,096,731,857,266,972,228,568,622,542,005,094,978,613,947,484,410,835,
533,044,314,485,814,050,786,890,574,353,852,353,585,447,572,266,675,408,002,
585,151,917,265,101,927,037,416,101,791,311,536,384,041,886,511,064,953,213,
523,430,553,693,511,339,836,885,163,345,859,279,680,966,763,567,862,212,521,
349,559,784,203,627,107,378,908,009,350,511,209,231,898,886,879,836,044,605,
759,653,315,541,548,942,449,558,450,920,134,009,591,582,816,456,841,809,662,
197,456,548,298,058,470,559,187,182,827,959,642,227,180,096,039,334,333,562,
476,804,386,660,255,036,101,593,173,217,241,359,146,157,828,428,858,975,701,
720,209,555,645,105,648,777,475,313,166,713,297,728,034,415,903,214,321,736,
872,019,149,380,505,021,771,867,983,063,208,466,208,438,581,854,329,309,987,
929,484,174,564,057,250,779,658,600,036,007,405,369,484,958,354,367,726,933,
990,841,790,165,009,806,465,429,872,515,060,201,735,367,684,141,718,069,359,
251,469,973,903,588,880,236,827,246,511,487,259,671,314,826,013,961,239,164,
303,884,822,319,023,540,989,726,604,558,384,939,080,134,362,094,452,348,409,
870,510,493,782,814,908,410,368,286,536,174,607,318,090,386,693,467,091,571,
081,805,437,821,258,453,159,939,608,459,767,831,224,661,519,549,717,593,844,
427,345,874,514,085,271,232,448,282,387,150,992,622,967,809,767,183,430,856,
124,526,760,129,739,503,596,150,449,907,243,656,504,483,448,419,501,177,003,
557,128,354,827,438,559,120,081,288,565,444,688,838,116,713,503,620,439,330,
757,038,564,198,847,704,016,690,085,598,603,800,114,165,435,166,621,186,079,
567,760,875,600,338,189,095,916,742,049,361,353,016,170,972,491,195,746,859,
048,260,471,813,309,065,624,276,454,581,458,179,854,761,871,122,852,803,489,
289,327,045,940,175,191,028,992,168,438,816,882,387,323,779,281,058,214,794,
182,512,149,866,476,812,675,838,809,835,687,584,169,827,636,121,968,943,210,
745,259,011,037,409,435,912,970,543,446,508,968,941,436,956,236,297,386,984,
213,628,625,777,551,612,962,896,415,430,233,082,367,270,481,663,897,489,780,
124,572,976,789,811,103,101,047,993,091,445,915,372,436,841,840,527,859,133,
410,532,056,248,363,230,135,809,544,738,060,482,284,654,486,439,397,181,895,
997,795,809,834,823,945,250,367,377,964,913,980,771,669,175,539,472,329,708,
813,408,438,216,358,708,704,102,245,344,263,120,052,641,613,559,222,478,295,
351,831,634,956,838,771,723,812,905,006,031,011,729,314,469,866,163,719,987,
335,928,072,406,044,781,678,764,046,481,826,277,361,788,257,661,024,947,174,
872,035,417,018,646,911,290,770,523,088,585,942,046,832,955,153,582,396,742,
355,669,111,993,695,338,567,515,132,748,972,714,676,089,284,472,732,388,934,
339,436,618,430,953,342,997,371,621,719,559,041,866,049,355,758,750,294,498,
429,222,307,219,518,651,392,984,541,485,058,462,619,763,727,329,740,664,902,
904,333,568,579,774,682,557,996,808,077,697,528,704,853,087,578,591,774,438,
999,710,872,989,440,036,550,799,025,395,198,920,419,133,286,007,686,523,207,
603,265,529,395,568,466,355,723,989,778,394,712,589,798,583,239,770,872,163,
650,556,331,981,970,820,120,725,711,526,910,259,671,484,446,178,285,666,463,
710,600,705,474,088,854,738,474,877,780,628,612,611,963,982,826,644,627,941,
854,510,425,044,810,380,611,118,852,636,843,310,035,048,906,334,903,650,087,
613,294,891,020,742,176,321,210,846,506,334,251,157,004,238,727,996,870,237,
428,013,912,546,410,109,803,751,145,964,497,969,841,297,164,063,398,880,497,
091,228,811,564,664,801,464,140,840,397,578,815,747,438,645,775,924,165,826,
546,567,887,156,604,902,691,894,056,772,712,225,476,381,064,452,995,841,055,
214,775,782,617,724,012,388,751,379,259,370,124,516,556,183,317,116,083,317,
506,950,344,055,446,127,403,445,468,502,245,132,963,925,334,388,507,230,445,
483,137,918,906,762,176,467,271,749,492,474,971,088,113,273,634,558,572,637,
388,357,476,899,226,170,380,481,597,950,687,120,064,747,123,288,150,642,191,
770,151,226,841,529,205,968,571,438,724,561,486,171,641,766,577,007,998,168,
140,190,491,120,421,771,833,957,609,994,405,830,485,058,586,874,336,524,002,
931,620,028,417,771,737,842,643,010,704,369,537,202,016,370,756,757,911,664,
764,611,346,628,523,367,881,592,167,972,679,727,358,812,239,332,653,025,207,
403,119,776,471,572,553,381,238,852,725,202,269,072,789,984,972,997,466,751,
131,949,771,155,043,136,650,704,374,682,575,942,829,129,822,354,259,298,355,
365,021,126,420,373,122,699,763,847,730,138,611,165,428,289,377,899,632,659,
027,649,543,493,599,708,149,540,839,783,025,201,604,407,858,159,724,825,438,
283,305,612,170,083,149,818,977,713,659,072,465,890,118,343,415,308,574,021,
959,458,321,501,932,473,739,286,946,383,049,475,968,193,976,643,247,872,371,
198,975,207,281,491,803,729,536,635,920,646,600,856,745,280,645,619,831,296,
376,007,195,302,054,544,435,511,952,667,155,921,872,644,514,518,796,647,509,
172,425,363,435,024,740,886,654,853,184,653,917,893,547,249,427,596,878,544,
732,844,098,919,671,203,018,063,644,775,996,260,574,355,591,412,835,392,735,
709,411,052,960,400,979,221,088,485,952,679,967,083,854,063,880,051,376,634,
650,652,003,586,174,687,494,587,568,528,598,335,730,797,420,760,306,632,152,
563,482,207,465,087,100,085,640,036,486,437,658,885,123,102,574,295,652,110,
633,469,299,586,515,330,664,347,626,849,071,155,275,510,314,283,420,487,582,
580,266,451,763,302,862,755,682,895,555,811,701,765,005,598,512,685,714,831,
739,206,704,440,219,192,218,133,231,749,077,627,653,577,279,845,933,006,291,
169,725,679,137,554,924,319,424,592,865,884,538,682,471,506,645,425,697,486,
051,704,979,329,569,920,398,364,999,991,103,319,950,616,730,612,513,892,411,
968,500,944,915,832,437,398,955,198,762,946,009,021,686,249,845,037,057,057,
861,134,069,647,214,967,840,552,442,665,042,572,722,274,496,220,399,500,510,
305,769,685,342,302,093,393,332,237,073,803,369,617,177,296,282,572,847,566,
029,312,435,774,975,757,967,139,509,017,831,997,139,299,014,374,997,092,420,
960,730,447,266,512,967,748,757,045,894,754,318,461,148,473,690,641,831,176,
155,119,562,287,543,652,679,107,414,543,236,058,096,533,188,131,328,443,871,
388,794,591,564,911,163,504,189,890,619,541,932,232,866,508,962,041,036,426,
874,861,201,128,899,434,225,975,094,860,059,858,422,518,530,632,108,549,942,
797,183,636,954,114,895,219,128,518,205,184,394,560,437,462,135,404,789,350,
607,328,947,346,115,871,202,580,587,711,343,604,758,837,464,322,454,264,618,
417,043,486,204,836,229,105,511,624,414,117,530,171,492,146,566,748,780,141,
723,790,874,382,310,324,858,272,209,621,741,570,998,107,655,005,797,974,827,
567,158,425,328,236,602,105,769,224,893,282,305,200,084,459,417,474,646,341,
892,328,804,373,922,453,526,190,650,324,617,380,802,493,271,785,704,648,286,
844,683,934,509,797,762,941,925,190,967,320,712,516,982,406,606,703,558,473,
392,976,619,078,808,731,636,278,880,480,158,964,491,528,399,308,295,291,666,
489,056,568,752,605,293,600,217,636,289,927,414,819,588,701,516,482,005,994,
316,013,625,466,385,609,415,137,317,817,366,417,023,631,332,890,557,360,228,
491,624,492,985,908,234,526,482,560,789,954,144,548,151,019,948,525,212,356,
234,675,432,943,409,164,240,568,877,156,468,634,096,158,395,085,043,279,904,
138,234,670,151,488,830,243,775,135,528,251,794,175,927,396,642,891,477,831,
285,792,688,518,797,924,263,354,550,146,336,262,602,584,322,322,168,567,127,
977,103,390,515,696,281,779,373,584,663,173,788,274,499,732,012,247,744,695,
892,611,587,427,424,902,452,730,590,771,807,633,776,687,154,603,946,759,318,
927,881,975,231,842,172,972,154,175,206,063,245,822,427,072,067,899,179,622,
513,696,675,195,937,881,486,518,938,318,197,810,453,134,129,028,250,879,194,
617,306,426,869,914,709,072,048,532,551,406,227,089,140,735,231,143,173,053,
058,261,562,973,898,970,181,886,010,579,373,750,235,488,143,056,242,372,286,
732,630,442,099,750,952,360,610,578,733,298,621,927,226,058,336,673,855,651,
357,091,530,299,084,053,108,960,044,521,937,445,141,696,453,428,741,167,051,
216,114,873,288,035,096,214,224,531,597,545,316,817,322,689,893,406,097,835,
607,645,858,418,543,218,142,843,504,650,975,165,550,643,541,991,540,191,013,
256,910,635,374,040,559,893,623,202,075,112,924,501,567,788,031,145,014,182,
265,206,515,943,117,483,106,695,038,207,027,695,798,164,922,964,862,711,590,
741,257,743,823,727,430,416,599,985,949,890,418,024,780,606,999,067,929,270,
709,340,758,685,064,235,708,454,865,463,236,539,926,635,593,724,669,499,105,
973,354,999,731,130,180,609,629,507,839,923,025,531,625,181,871,339,544,211,
170,951,770,609,699,010,584,734,897,567,316,749,129,198,964,523,092,801,457,
364,900,189,620,704,718,394,170,729,482,170,044,439,250,471,189,592,825,373,
361,265,469,504,747,960,382,525,536,523,078,750,102,053,602,200,783,745,387,
958,965,364,586,721,756,503,755,020,182,673,474,665,642,037,709,522,640,746,
738,100,883,643,156,243,055,692,133,947,555,824,424,033,738,764,426,603,201,
020,073,602,529,592,348,363,189,014,768,046,864,931,238,069,082,550,573,272,
128,314,142,148,603,427,527,912,436,394,579,250,224,073,114,815,180,508,196,
711,561,057,522,828,581,494,921,666,768,280,965,080,748,207,561,354,000,799,
190,155,401,972,579,893,524,135,677,519,322,289,251,554,077,144,798,682,424,
542,050,347,406,063,879,960,084,597,889,599,318,448,470,216,116,969,808,375,
717,714,351,645,926,510,424,080,099,527,338,060,641,983,370,739,459,151,729,
004,081,674,374,491,327,593,923,255,679,009,346,423,498,601,076,717,519,855,
221,313,241,603,204,943,420,560,720,643,083,498,582,015,429,192,605,846,469,
649,405,743,025,806,829,174,201,764,893,785,086,912,132,312,698,088,572,992,
684,613,974,466,450,145,167,949,447,118,393,685,524,704,656,368,690,557,048,
926,554,879,559,659,929,094,007,889,823,678,610,874,554,915,851,985,325,821,
713,081,566,222,542,051,553,695,685,459,992,471,002,511,990,664,105,801,644,
154,764,010,452,768,726,928,800,143,391,278,066,151,091,185,870,912,552,633,
067,890,534,409,432,640,735,969,335,240,088,754,449,226,892,181,577,755,909,
482,570,884,568,671,287,545,221,303,009,134,836,119,276,060,082,736,362,944,
371,432,952,622,616,745,220,056,475,467,364,386,521,523,385,501,513,403,891,
146,544,377,092,175,990,412,189,257,369,041,550,094,156,566,845,850,559,009,
456,541,153,626,808,999,062,792,169,183,493,389,708,226,025,813,096,343,481,
004,652,054,461,842,703,690,065,283,548,360,015,600,568,799,116,960,442,495,
694,568,417,649,731,352,695,928,618,325,738,155,785,456,727,723,322,714,776,
250,584,524,375,185,322,859,721,828,955,390,547,233,397,843,584,790,732,392,
843,370,018,347,406,826,667,505,395,479,490,285,869,860,082,237,581,442,050,
336,050,607,813,798,879,169,629,328,451,282,314,892,842,255,454,359,822,448,
689,623,348,590,279,560,346,068,842,969,248,985,829,225,773,081,522,478,791,
304,111,467,814,397,620,706,308,742,026,893,614,979,616,285,487,556,400,467,
336,553,340,116,015,389,502,697,791,387,377,530,878,034,308,107,550,968,914,
876,108,796,922,834,197,176,207,294,863,393,580,629,903,261,522,691,344,412,
781,890,292,617,620,947,044,603,984,994,155,442,949,257,609,417,549,378,889,
495,549,917,598,145,389,890,383,980,680,100,738,090,107,739,183,559,001,227,
622,814,121,301,928,866,388,326,510,378,293,891,259,320,777,141,459,976,897,
759,283,232,498,829,899,209,212,154,869,550,560,351,988,318,438,859,693,658,
478,568,554,021,866,385,846,209,327,560,693,135,690,292,555,088,999,902,273,
380,182,745,417,237,972,703,106,903,100,688,486,596,838,702,918,052,666,937,
214,747,157,465,500,689,387,990,954,939,064,510,368,921,239,300,735,338,764,
794,591,106,588,223,422,978,996,740,501,834,315,021,068,538,430,914,703,897,
430,386,040,026,114,927,424,512,712,510,226,728,600,627,308,811,860,185,551,
123,194,195,593,746,538,197,777,555,935,783,915,905,573,192,348,502,441,780,
782,187,132,546,615,942,485,803,677,771,564,105,853,805,403,535,091,462,035,
220,658,461,219,353,515,664,640,491,381,715,820,296,820,986,781,864,171,161,
408,369,451,630,666,588,491,196,374,429,163,130,087,849,697,994,694,037,455,
830,444,291,586,198,136,287,018,644,810,870,976,278,619,916,734,603,977,006,
733,183,957,362,394,448,270,604,181,294,094,671,966,565,068,316,227,489,912,
834,785,646,829,013,894,897,341,484,293,272,510,848,462,046,385,151,722,176,
810,029,253,811,024,993,984,329,558,647,820,501,783,948,747,904,378,690,941,
600,633,670,848,278,573,451,301,138,936,337,750,439,311,560,060,052,879,543,
672,553,949,476,743,824,103,805,600,844,131,125,338,745,822,584,336,641,467,
453,473,293,344,054,268,933,083,492,233,073,170,831,471,968,579,905,623,721,
883,873,879,120,367,362,294,393,182,823,429,123,489,377,985,539,984,989,828,
385,498,994,082,359,280,960,962,447,260,978,808,679,882,817,612,121,505,210,
649,898,425,340,281,504,056,292,749,471,667,768,884,515,465,701,173,156,293,
356,642,716,575,318,830,462,102,602,604,018,022,715,939,799,217,323,216,978,
509,342,919,972,612,841,687,065,960,217,743,723,053,965,948,765,332,973,016,
512,472,995,263,393,357,118,306,386,182,632,017,613,163,603,346,635,405,642,
438,642,153,491,950,809,923,036,466,308,851,409,258,303,004,108,263,680,128,
970,262,941,796,597,407,262,995,525,321,396,151,079,760,398,550,883,308,953,
495,188,992,296,565,193,816,820,020,509,674,802,752,674,656,545,345,997,444,
459,255,929,149,647,385,210,956,467,213,211,210,532,600,274,738,830,281,369,
316,085,441,028,800,622,664,902,610,621,553,955,926,230,527,970,899,223,729,
380,423,213,657,942,078,081,400,001,607,424,452,715,129,302,100,980,898,922,
634,943,034,806,257,319,344,617,710,318,972,295,194,640,559,731,030,610,297,
572,356,188,608,992,983,191,648,520,638,699,704,297,008,480,140,925,671,755,
791,437,953,039,280,512,017,536,776,197,556,193,250,123,980,217,384,266,927,
731,979,140,937,594,788,563,285,202,613,382,641,202,912,423,147,020,976,561,
083,984,766,533,026,743,859,530,603,679,318,591,247,914,754,988,687,455,166,
774,301,168,414,563,570,538,754,134,669,192,282,096,016,870,768,388,847,777,
950,398,774,243,503,052,990,181,551,818,854,518,013,293,055,366,361,131,435,
638,398,358,208,463,162,981,750,829,204,791,323,286,055,737,256,166,161,444,
122,769,440,900,625,948,073,522,657,798,907,860,410,602,772,074,727,581,145,
717,826,931,401,590,039,051,764,398,913,067,812,508,713,799,020,883,150,552,
511,912,881,322,602,043,204,023,796,512,222,666,992,400,460,507,407,967,208,
627,472,060,753,103,520,066,701,249,255,235,166,591,199,450,345,238,473,765,
863,437,090,114,130,218,267,441,014,266,241,189,558,969,506,742,645,009,402,
688,460,733,452,016,453,888,242,173,059,952,453,994,545,309,008,261,212,395,
917,691,602,493,529,385,589,882,428,975,032,703,348,912,649,440,151,400,228,
774,666,112,179,062,056,707,308,523,434,694,497,949,473,833,238,980,734,364,
095,720,784,848,126,983,239,962,313,436,710,453,566,996,404,433,561,230,734,
316,451,228,750,881,779,651,938,284,218,983,111,046,256,678,423,231,864,248,
180,136,911,392,848,905,396,638,404,543,292,356,963,286,661,905,791,903,100,
719,902,180,141,852,536,376,585,922,415,288,493,748,032,919,243,367,594,592,
032,024,426,862,821,448,040,637,812,220,418,390,226,796,518,588,412,253,733,
495,670,064,572,009,794,966,201,714,810,824,805,245,419,902,544,659,666,134,
604,600,747,352,568,594,358,668,076,283,381,686,318,828,436,383,463,800,410,
457,464,888,015,610,435,140,886,403,904,325,469,327,308,817,730,387,793,554,
299,823,896,395,778,444,164,615,525,049,694,540,933,800,034,258,015,340,685,
299,364,084,402,236,506,493,519,508,537,518,006,585,022,377,034,453,411,221,
582,361,118,730,269,403,040,094,846,868,923,873,032,690,114,467,071,662,026,
264,771,991,375,055,167,584,943,162,507,249,410,680,051,081,923,982,587,939,
051,260,244,105,264,097,184,752,669,503,608,813,865,639,437,333,192,023,663,
127,546,423,612,759,642,581,894,696,034,369,552,399,333,581,184,172,948,419,
821,025,597,098,386,104,533,243,290,511,839,704,575,212,491,850,400,252,726,
737,754,168,748,205,747,338,986,328,726,651,994,932,986,259,900,815,975,397,
116,019,291,568,588,071,059,381,185,188,030,207,566,161,983,721,793,250,211,
387,257,446,879,173,886,958,016,709,288,447,778,551,650,729,376,710,390,188,
757,295,563,853,576,036,098,673,700,400,061,420,578,401,859,882,205,113,136,
654,525,400,566,414,727,304,165,438,565,085,240,419,619,528,449,730,073,693,
297,894,464,376,592,207,930,143,141,772,022,279,532,258,570,728,342,796,549,
918,881,979,451,987,179,563,381,289,710,592,389,780,134,167,311,966,948,735,
954,072,668,305,537,824,633,973,920,053,387,293,604,819,472,926,693,696,285,
932,996,969,804,238,344,570,936,839,793,998,687,342,671,484,158,487,292,467,
836,193,978,750,660,118,202,499,830,226,668,480,450,064,512,843,899,829,182,
533,005,022,102,635,134,948,659,955,517,800,308,228,844,198,981,680,131,435,
129,693,152,062,941,608,029,834,028,742,113,798,704,115,771,178,514,841,369,
908,933,141,638,562,541,994,859,123,615,006,701,037,141,323,199,644,069,766,
958,126,544,613,226,414,317,036,431,131,900,290,693,229,676,006,866,480,817,
300,483,256,550,386,992,721,718,520,030,104,807,436,608,511,473,700,310,797,
151,733,237,176,572,431,345,242,700,218,048,319,475,232,743,168,692,044,331,
925,041,556,843,867,422,349,059,452,565,457,481,326,033,057,812,647,804,533,
853,739,064,880,936,123,950,364,882,194,765,930,154,244,854,729,004,850,703,
493,040,936,309,077,046,974,072,504,434,325,802,212,296,146,840,172,715,778,
369,926,697,639,260,404,124,529,639,662,323,374,619,224,992,459,902,081,024,
456,790,280,022,083,102,789,344,462,102,358,372,252,658,723,851,185,047,431,
765,201,842,967,186,865,085,685,451,043,954,308,418,815,792,866,999,785,187,
819,364,308,561,818,479,289,576,095,235,283,714,192,150,516,417,806,274,317,
309,909,813,585,372,825,434,830,562,764,398,089,732,013,523,456,741,590,396,
118,543,923,720,955,853,760,292,314,197,242,316,655,831,137,012,279,357,531,
715,531,132,425,824,873,297,759,917,899,587,316,712,295,966,197,199,908,509,
093,974,584,599,807,944,950,789,294,847,642,580,518,797,277,462,271,425,706,
146,953,109,588,171,837,358,747,614,593,901,026,309,800,278,353,814,874,297,
917,379,440,560,360,505,339,320,193,466,894,637,510,293,997,094,660,146,413,
707,328,042,939,991,265,197,183,589,422,242,711,796,475,944,857,277,369,100,
185,866,878,326,618,218,456,398,580,581,855,529,195,597,503,872,001,272,046,
243,053,211,672,907,605,063,506,703,815,031,732,083,603,220,093,620,127,733,
397,941,526,871,396,623,711,280,634,148,946,947,341,520,012,261,118,910,156,
823,805,980,271,895,892,550,728,390,824,224,224,872,618,639,562,022,095,031,
908,202,554,852,210,483,131,492,258,720,533,081,837,711,565,992,652,860,470,
770,185,657,441,589,328,182,312,625,376,883,723,894,722,551,861,842,190,931,
173,121,777,025,609,438,035,004,599,411,314,965,218,335,035,294,811,930,880,
231,160,208,663,137,978,423,282,081,275,581,480,337,000,287,723,238,514,027,
332,354,616,824,224,684,785,023,097,841,196,351,654,724,110,755,820,941,490,
191,986,237,401,646,405,212,135,737,100,275,673,902,317,581,724,136,587,285,
344,247,445,435,315,734,733,458,304,415,681,745,200,066,546,882,140,608,297,
428,364,655,818,381,365,251,513,254,444,550,870,808,571,281,563,392,901,671,
193,313,842,509,617,677,455,098,311,872,826,399,903,863,493,087,429,810,176,
623,104,135,310,905,703,045,695,333,032,207,957,018,269,798,809,357,819,017,
002,131,213,604,633,901,935,667,682,306,649,102,374,857,777,607,409,273,164,
341,377,456,196,187,088,793,235,080,941,605,209,673,567,094,297,949,335,786,
347,941,429,119,647,786,503,994,610,926,433,968,389,445,104,281,934,708,823,
005,356,265,194,177,676,342,647,395,187,989,134,822,667,080,322,764,538,386,
893,627,907,341,803,078,286,860,929,482,084,153,998,756,380,117,699,569,310,
428,878,598,845,521,143,533,839,212,661,495,202,002,276,536,105,942,884,226,
747,136,379,372,064,192,624,874,351,091,451,170,554,183,703,091,857,966,802,
282,086,387,516,988,344,703,734,280,313,698,220,626,173,122,988,851,731,010,
697,951,854,922,725,186,048,973,478,466,135,705,816,222,687,824,019,399,671,
121,009,814,050,497,947,313,245,970,829,974,223,141,264,198,252,273,536,188,
558,874,308,529,267,362,086,357,606,648,075,378,908,852,923,819,631,409,331,
378,470,659,715,858,023,892,178,262,475,842,445,310,405,551,601,524,476,229,
859,449,042,583,393,200,706,368,055,814,471,506,512,782,432,601,435,324,353,
715,556,939,757,868,076,604,547,934,927,702,799,445,222,041,018,643,234,862,
742,463,385,346,745,491,003,534,110,829,942,931,189,445,736,296,409,866,395,
681,290,079,265,672,437,533,660,317,657,517,346,726,748,191,863,740,129,158,
463,229,804,311,043,186,652,883,074,895,030,378,902,289,635,862,784,350,841,
573,932,777,604,597,989,166,530,835,174,771,636,106,181,547,604,044,895,617,
600,644,818,293,405,564,557,459,361,985,543,858,887,982,117,738,746,728,122,
704,446,234,123,841,638,378,343,609,953,208,682,768,814,207,995,182,781,294,
971,789,947,401,341,247,681,534,341,186,265,407,542,017,795,389,230,934,283,
106,684,924,824,030,374,932,898,244,924,725,487,072,998,830,536,340,665,656,
065,640,542,999,926,398,860,373,901,633,307,341,818,665,507,144,294,277,301,
912,916,869,904,211,674,391,520,638,693,476,603,228,351,709,098,308,682,877,
548,745,148,372,981,298,490,720,524,682,485,411,251,778,103,965,221,860,199,
420,380,890,870,870,996,643,792,064,661,044,693,964,788,685,345,492,538,819,
009,519,501,689,108,977,931,013,392,693,390,251,965,850,342,995,055,586,246,
889,093,664,572,928,777,759,380,926,438,701,198,849,227,152,282,589,237,856,
664,792,324,272,049,841,157,786,765,515,513,815,509,305,177,451,268,793,754,
428,497,974,614,296,401,992,356,180,593,293,850,678,976,184,522,917,424,401,
742,626,690,402,939,015,626,291,809,340,707,732,124,991,945,056,595,795,910,
751,123,206,424,101,199,332,595,717,502,768,884,150,038,163,889,218,836,957,
005,625,222,428,518,543,375,099,945,219,191,590,576,552,300,188,387,532,398,
688,862,185,484,065,914,971,799,354,999,401,163,711,558,929,162,730,516,771,
649,098,087,411,183,612,691,082,033,298,921,803,861,421,107,163,982,291,331,
512,555,571,942,756,343,601,603,203,000,068,140,065,623,411,323,568,567,860,
979,982,352,525,529,046,177,707,718,573,293,377,839,606,042,789,399,704,505,
422,084,571,938,780,923,209,228,052,601,004,283,111,572,854,000,313,506,635,
441,600,857,389,185,061,838,686,491,966,952,648,406,012,485,171,193,026,985,
134,629,506,507,736,399,593,674,833,147,973,665,719,982,988,487,898,770,368,
647,632,513,999,075,356,412,004,470,441,235,115,880,441,131,409,302,231,791,
592,321,333,245,892,386,658,852,524,180,957,029,400,795,927,260,356,315,561,
395,627,853,458,885,098,671,614,621,435,317,132,755,618,452,325,870,739,194,
289,979,816,541,756,824,164,249,039,615,931,003,592,755,303,911,246,393,727,
224,590,331,216,849,996,209,288,649,378,033,053,266,798,186,192,223,266,507,
607,357,334,208,220,700,290,873,450,875,072,753,356,276,919,669,837,367,166,
592,826,326,198,285,188,025,902,816,427,513,737,163,273,077,423,925,953,174,
109,290,682,651,644,714,448,433,268,048,154,602,747,098,794,134,875,185,561,
600,609,617,315,595,359,303,197,383,910,297,194,863,459,118,900,431,482,021,
129,106,736,597,233,384,297,857,003,312,453,065,831,698,366,245,581,898,292,
835,433,650,125,048,755,631,995,940,732,567,131,105,434,449,596,999,239,106,
699,256,575,042,720,276,475,788,262,334,715,819,018,516,334,300,619,259,581,
681,447,444,075,664,032,668,925,284,352,383,401,393,618,816,250,234,490,339,
617,720,479,329,473,813,509,376,330,808,061,492,535,112,258,623,239,537,338,
230,720,247,449,817,582,762,855,459,980,387,392,880,598,489,818,382,953,247,
445,393,847,989,515,664,825,044,393,578,900,263,600,986,984,532,902,604,792,
211,142,663,226,037,211,334,237,577,989,496,734,369,818,128,000,990,598,162,
474,569,177,531,925,028,944,298,447,728,756,871,012,362,498,560,752,611,142,
667,524,770,506,112,119,604,935,195,547,578,269,362,520,447,983,103,433,986,
446,279,208,031,432,334,303,780,764,097,708,067,267,611,176,354,375,609,744,
221,909,629,154,907,036,730,992,701,528,314,428,721,956,595,791,421,499,235,
553,422,833,454,841,898,786,614,282,319,694,522,061,986,684,650,521,781,603,
082,700,672,402,271,298,928,256,377,304,901,065,757,541,904,868,430,275,880,
479,189,112,739,287,485,004,578,976,628,701,209,389,427,055,103,254,549,324,
147,169,091,797,978,972,902,170,399,410,218,420,958,883,620,856,768,917,055,
837,219,446,330,857,655,654,363,270,411,616,904,671,526,759,386,649,303,441,
598,336,031,134,372,277,153,708,549,038,834,859,320,861,887,283,505,892,694,
448,669,552,578,408,983,823,675,875,649,758,919,888,885,944,221,196,247,463,
943,001,273,415,272,215,480,995,315,722,524,948,524,564,213,997,790,741,974,
354,187,529,374,975,414,171,668,304,702,690,552,575,013,077,862,102,522,641,
531,249,887,440,131,419,608,995,049,120,944,705,497,304,561,377,927,362,201,
402,459,431,800,161,262,331,423,517,788,511,385,836,040,729,862,993,783,492,
979,703,697,644,613,635,790,418,580,824,202,876,398,963,066,530,398,997,662,
627,413,967,303,957,814,911,649,458,030,159,026,311,122,846,227,394,472,650,
590,971,550,056,233,069,836,678,705,720,296,410,887,894,843,186,972,765,689,
990,521,414,373,782,810,556,884,913,114,293,773,760,962,152,325,332,086,854,
153,114,962,789,231,124,560,645,124,689,196,236,671,409,284,568,193,651,110,
421,789,966,777,092,948,539,567,531,983,881,079,170,145,108,246,007,960,714,
488,667,087,999,452,583,786,496,209,708,264,423,660,054,258,845,498,016,017,
635,422,874,184,200,126,718,689,261,127,285,670,284,154,793,967,856,953,629,
735,297,873,280,257,756,569,075,388,716,451,142,759,233,303,229,666,605,178,
417,728,633,132,240,827,742,698,789,239,671,483,696,067,787,050,742,241,717,
962,046,794,742,980,854,839,031,292,753,851,653,903,193,011,395,541,743,389,
327,600,363,509,521,857,886,425,639,411,456,193,326,498,304,879,321,290,691,
214,575,083,842,803,546,582,842,487,195,638,809,072,263,698,970,296,703,682,
483,565,189,705,697,125,568,746,991,962,285,232,976,141,742,772,500,882,147,
681,944,699,994,232,177,337,157,766,590,958,781,894,391,281,183,915,639,036,
800,861,896,677,799,630,286,230,288,493,374,107,156,432,033,238,705,809,249,
714,119,123,904,996,883,346,511,497,184,429,898,334,159,087,497,187,591,467,
654,693,297,819,824,138,755,777,442,797,031,741,720,232,493,350,375,344,573,
007,265,911,711,320,423,683,902,232,168,048,172,775,249,307,740,101,806,740,
335,857,961,673,651,846,748,453,321,051,451,400,775,337,076,850,844,914,956,
992,042,138,501,690,840,807,549,492,730,828,983,985,161,695,483,556,607,788,
193,419,181,100,354,300,142,570,160,137,042,099,366,050,841,486,582,383,434,
481,374,826,217,086,155,118,081,582,223,792,847,803,077,249,715,009,886,865,
834,562,957,293,702,283,536,659,938,977,223,986,914,031,111,898,146,602,443,
052,442,702,020,432,880,134,428,912,865,470,876,321,912,294,571,864,274,744,
592,203,930,593,085,558,560,764,066,558,054,450,795,211,312,628,040,934,915,
696,638,243,248,113,930,947,758,432,567,367,202,423,161,420,701,597,359,653,
662,422,414,521,986,364,996,442,272,865,618,299,984,847,370,488,455,812,258,
471,502,200,560,306,871,571,047,095,750,771,682,891,306,617,814,871,623,618,
338,348,023,321,997,229,165,554,674,808,365,108,005,176,539,872,995,820,538,
787,175,686,434,472,502,677,922,590,841,810,715,239,332,558,899,555,218,435,
396,648,902,726,700,147,227,876,781,793,268,218,673,897,080,593,545,250,067,
083,586,230,967,982,523,346,454,854,939,232,098,784,784,962,587,391,030,426,
097,464,886,206,106,576,930,417,023,858,946,831,525,444,585,593,485,796,579,
370,233,816,989,775,022,561,189,838,479,584,182,621,122,432,317,517,284,147,
337,378,989,124,939,758,862,306,439,121,450,024,684,583,982,646,363,893,496,
415,652,786,792,928,043,006,073,230,420,818,984,983,895,979,379,296,284,337,
410,762,596,249,663,801,089,931,535,649,774,587,902,209,006,651,686,020,075,
875,200,814,148,471,206,833,842,844,473,499,859,223,313,693,670,964,910,422,
732,230,331,184,751,120,258,795,736,737,869,741,454,263,384,129,787,127,489,
391,724,971,169,242,724,657,424,943,945,251,536,812,437,847,365,495,200,482,
554,926,851,073,078,525,768,740,796,662,356,479,808,742,944,084,372,141,170,
155,836,936,184,092,806,316,001,455,933,340,753,811,996,850,063,936,988,208,
144,720,495,950,964,519,803,162,516,372,634,015,844,123,082,711,879,615,414,
254,674,809,529,436,550,531,116,333,566,818,082,184,030,614,107,003,968,550,
445,168,440,150,536,775,089,098,229,604,092,732,609,497,449,952,396,994,351,
240,779,948,260,853,023,267,259,016,495,514,604,121,644,081,800,442,111,057,
214,993,048,920,292,970,254,524,487,378,316,138,813,753,662,113,958,460,789,
167,392,259,715,374,686,869,934,809,065,937,700,329,707,705,042,921,786,711,
492,600,559,255,895,647,405,122,199,690,045,596,411,109,750,336,222,760,581,
503,464,375,901,226,971,954,071,339,148,941,130,154,829,186,645,182,084,264,
697,918,312,333,113,163,735,207,914,857,585,950,507,989,984,105,124,177,486,
105,908,407,085,038,896,783,242,634,459,897,539,705,486,703,574,436,285,203,
933,723,749,016,387,196,141,432,604,632,467,134,593,253,891,121,725,902,882,
904,186,567,274,454,275,059,253,886,059,242,649,978,332,322,994,103,595,093,
913,466,678,835,000,525,491,113,846,759,397,708,282,607,100,619,624,172,845,
715,161,479,614,611,266,926,691,051,764,285,532,573,285,899,129,970,825,555,
502,089,061,780,712,012,407,423,798,640,738,680,703,052,251,787,381,175,216,
007,285,199,384,924,085,329,101,016,181,407,219,462,039,204,653,276,246,337,
303,316,022,850,453,109,903,278,995,754,065,177,648,031,417,163,216,316,424,
890,080,374,648,738,593,606,089,795,507,923,766,195,542,279,017,089,378,021,
635,944,583,582,005,390,805,491,289,461,684,773,136,576,932,954,643,606,929,
404,956,710,792,979,855,896,743,786,415,091,824,032,497,432,540,709,308,288,
023,715,197,638,992,871,193,746,729,205,784,208,111,656,170,201,665,173,354,
010,314,331,987,321,146,182,599,285,820,242,552,882,612,449,912,374,790,765,
400,223,055,595,089,831,505,408,274,351,677,935,964,814,942,597,725,978,866,
544,260,493,580,358,970,832,505,752,533,360,459,137,563,590,087,280,918,660,
793,803,657,731,387,468,911,812,329,654,800,026,694,308,101,172,724,852,718,
719,899,369,710,534,593,946,137,272,476,988,775,356,179,363,395,232,262,644,
473,502,373,696,311,006,456,309,707,663,648,754,822,605,024,446,123,069,588,
045,872,018,814,311,123,256,665,248,383,205,244,765,060,424,087,145,734,777,
226,614,201,356,565,241,010,524,709,370,938,934,569,253,368,396,707,351,788,
050,468,103,426,600,315,101,949,468,674,106,051,011,274,307,614,244,948,438,
483,636,182,833,252,675,643,008,293,161,019,739,085,350,386,330,078,582,302,
078,926,744,666,238,491,949,734,175,010,594,099,369,289,675,866,913,624,471,
649,332,957,077,021,285,358,318,659,905,831,851,379,694,024,980,856,111,774,
064,727,293,671,990,989,264,797,125,895,542,581,017,573,529,122,498,221,491,
559,361,066,378,995,885,229,740,882,140,963,616,538,259,388,173,598,564,221,
578,951,647,163,405,907,752,729,005,581,433,141,003,233,139,904,397,484,947,
769,775,321,310,150,236,053,213,025,996,493,770,622,034,639,863,205,178,412,
083,019,972,498,442,177,055,706,008,855,411,292,998,297,886,146,357,383,658,
621,246,239,810,081,281,373,726,296,132,240,327,987,129,761,234,273,153,011,
993,439,708,163,549,287,141,086,462,902,371,234,837,841,157,284,241,291,729,
864,632,636,989,997,671,004,876,815,297,377,748,513,194,241,165,872,901,825,
679,953,411,402,878,807,576,734,845,757,636,414,466,951,712,826,871,913,081,
002,283,767,839,420,912,837,853,855,972,575,231,707,256,539,941,356,996,721,
515,663,201,171,637,510,107,992,436,816,005,443,156,790,622,780,484,821,939,
680,579,340,746,058,147,466,810,702,173,395,652,256,992,647,323,449,599,348,
690,555,409,619,819,318,482,757,874,902,208,004,520,204,829,919,831,267,682,
835,806,241,317,705,595,862,572,503,866,919,004,087,131,426,782,816,100,509,
360,499,281,765,636,855,569,072,780,980,031,452,135,998,132,919,011,796,963,
176,749,766,997,803,808,491,464,880,040,344,250,449,548,546,938,341,346,938,
947,952,170,247,070,079,701,509,342,688,363,235,895,013,353,404,257,885,883,
768,009,806,645,385,456,059,843,348,165,208,841,510,711,032,987,976,375,666,
208,328,230,121,640,789,299,841,488,503,901,948,693,849,820,069,477,953,654,
894,087,784,870,343,645,957,558,228,418,352,520,382,404,695,626,085,374,506,
713,853,119,665,604,394,577,098,725,475,029,807,580,419,593,863,210,137,019,
560,403,041,984,635,576,847,458,099,174,173,471,632,522,950,116,395,217,532,
129,349,176,957,126,351,372,179,439,348,743,595,781,312,327,695,839,065,029,
746,224,949,602,809,341,885,394,016,560,196,596,368,019,658,942,889,841,878,
430,557,220,016,922,347,820,692,349,361,821,450,651,903,269,575,902,472,100,
219,876,708,746,952,890,680,603,187,253,543,407,411,032,019,355,222,507,305,
905,533,554,295,275,410,678,964,342,409,808,849,361,838,748,172,795,373,561,
894,848,541,726,040,858,934,436,833,032,368,610,550,881,493,090,585,646,169,
695,209,559,894,493,688,649,115,673,110,386,730,645,578,701,196,261,181,608,
872,555,082,207,334,301,774,571,749,212,248,067,539,503,049,665,505,251,486,
500,670,873,919,849,254,150,525,579,651,204,909,524,024,745,904,128,237,571,
631,124,590,338,875,474,890,826,755,908,460,294,478,741,942,071,562,667,246,
457,186,941,630,846,597,038,805,207,579,862,487,675,374,712,754,989,084,738,
660,444,008,372,463,704,046,607,818,148,557,143,393,843,944,392,890,958,319,
429,050,124,096,256,077,590,171,550,796,849,706,942,178,754,944,682,932,590,
044,975,849,275,098,127,087,177,889,997,946,652,593,946,799,814,023,986,785,
567,331,457,598,841,290,292,060,664,723,575,636,386,904,330,522,448,999,746,
870,803,251,335,979,874,090,881,185,016,704,219,029,420,743,849,444,506,363,
160,050,451,729,935,810,646,710,989,649,687,231,416,584,565,357,524,124,188,
848,881,602,205,033,934,632,086,422,573,740,819,562,627,752,646,648,959,498,
430,601,184,225,826,098,203,623,462,879,942,180,808,159,046,091,663,543,484,
495,544,946,943,714,929,030,182,752,842,440,565,789,872,756,309,328,915,340,
787,584,271,216,094,538,600,311,045,326,653,456,182,429,396,812,741,945,657,
104,280,653,208,036,388,775,979,726,725,621,017,485,868,903,813,599,900,520,
163,275,312,607,396,060,780,777,477,483,768,913,625,219,857,441,783,805,892,
294,606,837,033,080,682,467,428,376,915,490,926,027,798,875,477,090,420,590,
117,022,109,442,723,318,969,378,143,841,620,136,296,831,007,057,320,866,422,
289,892,686,550,121,186,168,938,634,847,679,133,061,915,162,464,913,343,494,
966,508,963,875,965,709,026,144,548,691,394,441,709,644,796,464,256,501,441,
089,272,802,237,975,335,336,838,212,059,257,291,717,282,585,208,316,922,299,
238,799,042,725,353,275,162,544,014,655,103,666,604,457,332,589,286,209,055,
419,033,588,182,568,613,792,369,515,008,026,401,144,280,164,632,074,526,562,
814,509,590,662,290,884,869,555,380,263,125,447,468,978,753,362,191,777,617,
412,442,372,796,256,794,009,571,905,267,045,152,380,664,904,611,176,619,397,
600,826,154,544,376,086,568,415,341,766,246,434,802,041,091,082,229,154,479,
978,706,602,360,943,156,883,764,713,090,582,256,300,013,476,202,680,166,587,
428,703,839,339,494,604,367,127,405,154,162,508,940,243,182,130,939,699,545,
396,337,900,402,384,989,376,891,825,004,339,148,984,846,129,864,154,821,931,
743,000,924,628,113,907,146,258,232,633,280,886,816,022,457,001,032,098,324,
674,036,054,888,857,615,582,546,625,835,343,973,372,380,632,010,511,299,205,
797,069,948,929,782,220,498,817,365,695,937,811,758,569,369,479,977,940,496,
326,178,041,889,812,406,558,751,258,258,406,908,983,697,419,942,403,816,846,
872,931,825,182,316,741,063,595,467,793,642,851,640,608,074,836,400,185,371,
664,442,843,762,285,327,678,478,143,345,457,975,027,368,408,302,358,521,351,
327,222,110,794,806,521,385,579,186,904,547,157,841,124,767,859,861,113,181,
207,159,912,325,037,074,746,436,462,335,776,227,173,806,383,224,384,210,144,
118,657,342,661,311,709,339,217,115,331,965,426,879,354,625,504,207,690,309,
107,568,615,456,170,559,629,728,828,919,621,645,317,302,053,162,080,974,301,
264,768,515,248,957,746,005,684,948,036,088,138,260,277,030,505,366,397,346,
375,466,793,852,063,515,544,976,115,147,223,251,919,940,672,214,822,481,776,
762,109,396,803,217,207,185,698,533,361,110,235,486,523,991,776,800,722,981,
589,738,256,299,698,983,499,386,444,916,684,827,386,006,289,665,835,846,089,
703,250,063,840,443,391,471,530,815,094,887,624,373,477,341,320,971,900,329,
904,559,414,043,941,726,669,334,708,000,209,028,036,783,611,584,372,783,609,
476,269,442,336,896,777,669,455,754,234,750,552,325,259,334,687,241,008,265,
681,711,063,590,559,450,983,331,801,580,296,177,281,065,110,101,122,466,163,
994,594,712,496,190,828,786,261,605,777,265,142,730,826,079,770,933,940,129,
209,791,912,857,361,272,798,619,975,769,035,872,154,175,398,262,428,877,347,
889,144,828,625,735,298,011,811,944,907,022,013,853,792,927,550,454,657,129,
857,776,386,528,010,816,780,331,841,973,814,798,570,836,309,381,779,354,212,
347,231,227,316,342,775,463,029,520,152,294,336,960,028,644,130,599,676,609,
779,263,623,391,777,357,090,005,040,349,287,029,389,491,632,416,985,617,794,
726,025,929,196,302,232,109,364,645,406,879,128,224,587,626,838,114,594,288,
849,195,446,751,565,052,445,979,966,926,578,888,060,082,262,987,697,307,128,
178,728,818,039,145,674,648,190,279,704,929,569,148,429,622,854,596,185,107,
898,704,336,281,138,672,574,597,466,153,484,261,332,494,963,870,763,463,940,
931,543,065,241,140,585,893,714,108,168,335,755,080,081,297,823,064,391,208,
983,997,169,886,822,169,833,387,887,205,945,887,945,732,157,433,899,224,952,
633,724,203,291,915,972,447,041,540,608,093,457,886,157,818,471,554,043,267,
708,054,732,288,507,267,156,412,566,505,633,709,151,145,057,435,141,842,170,
750,334,122,159,593,130,555,348,510,053,966,287,298,573,905,526,471,657,104,
455,104,201,164,174,447,742,442,641,307,278,822,396,667,003,270,609,637,267,
935,887,237,616,265,597,542,807,041,655,479,354,432,353,143,973,136,324,726,
614,274,396,219,704,015,592,214,679,847,376,184,762,697,962,054,743,294,565,
137,796,774,233,377,280,106,443,987,427,382,706,636,522,592,393,570,459,874,
365,055,332,328,400,087,833,235,448,366,157,471,745,665,744,393,335,579,741,
342,308,390,444,113,155,847,845,822,227,934,322,128,919,643,314,171,854,231,
834,967,519,613,643,718,357,962,786,495,708,737,479,921,126,133,562,114,000,
587,927,371,049,424,486,249,664,559,954,397,937,989,035,394,306,395,023,922,
975,866,229,114,111,730,665,571,982,276,482,659,692,853,420,262,917,122,648,
405,341,281,967,633,368,746,451,421,373,023,859,823,323,742,077,647,873,848,
345,455,273,600,137,547,008,046,541,396,824,994,087,798,458,989,144,452,744,
568,376,042,556,226,039,589,299,874,505,442,375,737,335,546,586,074,150,222,
754,342,269,416,145,218,260,263,050,266,881,714,907,012,783,227,963,062,764,
557,567,337,196,198,415,407,907,213,408,304,140,536,342,731,697,959,882,116,
082,370,805,381,919,096,465,524,720,314,309,556,768,368,744,629,355,551,920,
717,150,239,775,632,857,019,018,708,055,470,396,554,112,435,473,843,063,472,
136,238,866,407,328,158,438,789,221,862,298,505,056,422,576,159,843,420,655,
542,599,291,143,044,773,396,851,957,083,976,714,859,487,263,790,510,750,593,
773,997,954,872,185,814,038,148,316,384,729,118,560,632,600,835,778,581,577,
850,968,348,562,652,909,829,738,550,371,905,338,901,515,141,781,862,877,212,
411,728,891,460,118,875,252,942,121,862,502,236,909,315,549,122,115,347,742,
724,467,128,813,623,226,462,607,399,941,303,506,757,270,983,062,723,740,895,
334,197,589,581,531,073,741,478,775,320,075,211,628,168,696,127,386,192,745,
198,765,761,026,542,464,958,321,314,222,305,271,243,205,723,235,890,779,535,
161,853,319,393,492,396,516,339,723,027,899,967,137,475,325,082,432,241,720,
889,832,622,141,779,416,010,818,387,147,713,253,283,484,549,215,281,889,195,
644,832,049,254,989,073,948,815,876,273,957,365,457,609,747,780,650,213,230,
575,060,100,780,318,273,455,546,852,370,404,370,613,769,693,914,803,547,739,
881,953,770,735,074,182,577,362,140,864,599,077,339,385,303,177,379,905,539,
688,216,805,719,344,730,942,267,203,778,497,929,073,283,504,086,667,176,554,
345,598,065,890,937,265,677,479,997,564,134,712,956,460,172,957,606,787,713,
075,013,433,316,665,615,550,823,066,280,472,986,382,945,468,236,793,800,459,
808,182,087,418,028,077,802,417,939,102,404,860,576,499,974,081,446,641,237,
580,067,744,293,696,312,215,372,554,413,809,768,519,551,330,563,632,483,699,
626,618,751,853,181,957,329,749,292,005,193,239,597,891,314,872,444,632,948,
929,326,357,551,253,825,501,910,276,164,094,582,693,278,979,962,605,876,686,
119,419,222,784,075,686,510,377,952,282,154,238,951,205,338,462,798,284,503,
832,592,945,496,155,630,259,465,054,043,631,259,067,581,196,408,987,672,875,
954,239,027,573,013,310,030,840,442,538,682,869,584,870,645,281,423,907,914,
673,973,090,355,959,103,638,106,690,431,448,770,689,950,638,065,825,709,492,
721,975,428,490,032,000,556,874,920,308,048,049,412,453,012,829,146,655,372,
190,843,192,493,202,588,355,439,689,119,471,043,019,357,282,627,077,566,022,
300,845,774,873,699,119,908,282,266,933,531,904,436,094,227,713,080,207,870,
450,277,331,379,764,332,344,882,440,094,238,160,085,011,607,208,272,383,287,
152,975,612,298,874,948,662,198,947,500,416,293,346,689,023,600,620,625,768,
330,252,382,505,090,047,042,322,726,959,505,553,496,756,148,159,565,698,400,
368,065,916,979,637,733,540,537,812,877,975,745,519,539,470,206,805,231,624,
302,254,480,130,141,772,742,793,694,138,180,671,376,018,088,263,426,433,988,
452,426,149,332,128,926,282,872,195,996,512,754,949,134,414,377,935,408,946,
714,852,145,685,721,597,536,402,857,111,874,644,594,039,136,561,659,814,816,
989,365,043,488,843,910,176,767,672,790,189,328,008,027,226,885,935,228,367,
369,212,626,313,363,931,025,088,869,039,187,525,392,837,836,086,309,114,749,
504,006,312,111,236,529,308,166,191,552,907,531,840,180,386,473,954,457,370,
598,999,145,195,991,649,363,916,240,672,309,568,454,360,680,205,232,829,887,
939,718,181,123,961,691,762,855,235,610,753,384,280,903,566,831,427,262,476,
676,206,747,662,378,652,122,706,312,991,372,112,855,733,603,215,362,297,435,
552,153,634,385,514,647,543,335,596,339,656,495,640,464,752,737,322,042,691,
815,714,859,866,655,521,835,872,872,291,999,341,694,420,967,266,917,027,884,
425,626,255,082,581,054,015,798,726,112,167,760,241,243,326,529,745,531,583,
775,902,872,388,285,584,872,987,408,085,829,830,899,951,174,622,808,647,672,
160,198,071,611,412,432,763,837,727,695,829,310,519,512,092,746,692,152,892,
701,025,745,651,319,626,825,924,630,541,511,257,413,280,304,416,730,252,479,
687,875,119,024,031,583,672,074,396,690,119,237,969,865,400,819,296,757,999,
570,378,511,466,776,254,174,922,028,448,610,557,227,238,960,269,182,197,803,
515,849,731,828,107,984,678,504,962,676,585,097,092,757,477,356,902,639,540,
432,114,385,335,444,424,080,090,429,083,152,652,932,125,258,260,734,446,416,
196,659,382,321,609,748,807,211,446,866,996,135,275,536,367,020,278,112,736,
262,325,293,929,917,005,631,867,505,418,866,778,784,265,361,524,256,780,488,
502,595,689,276,393,426,369,902,311,011,976,239,740,961,620,647,967,049,042,
168,468,530,462,053,408,221,631,191,602,365,937,966,661,983,222,499,964,469,
273,726,455,977,537,968,495,931,863,373,285,370,578,087,678,066,441,603,228,
641,005,769,504,308,736,120,596,325,356,405,381,919,817,539,630,486,308,438,
343,034,003,475,438,116,148,071,609,727,246,533,839,902,989,187,620,401,265,
124,958,047,708,711,888,397,114,370,023,259,412,829,700,689,160,378,960,157,
596,668,981,973,678,963,138,505,521,263,863,445,471,501,789,951,590,988,641,
075,589,042,799,972,435,711,688,243,960,506,983,284,710,332,349,000,107,982,
005,157,048,884,990,117,384,997,631,513,111,442,923,026,715,680,649,659,950,
739,313,689,475,302,257,582,360,646,751,731,192,484,187,585,072,459,061,245,
160,076,654,190,312,408,539,777,001,527,850,916,764,443,303,848,923,047,335,
100,160,419,425,103,364,355,747,517,201,001,783,568,799,443,069,751,065,338,
527,564,187,691,589,190,522,186,405,792,835,406,580,560,541,650,273,628,164,
390,060,864,431,433,865,035,950,219,632,188,856,198,804,910,095,423,041,581,
400,712,099,115,507,028,268,413,897,687,071,833,785,636,991,714,999,452,496,
215,403,923,204,763,171,098,610,290,451,240,560,155,755,024,437,519,903,070,
464,127,568,976,121,323,598,195,772,802,350,519,877,404,818,361,607,657,996,
081,544,965,425,334,923,872,115,370,528,854,663,748,175,366,852,268,704,255,
906,574,776,016,022,735,474,735,606,563,849,761,963,920,387,619,796,597,537,
550,814,845,919,935,753,291,994,185,950,848,323,202,532,989,066,502,723,163,
080,335,216,140,532,973,512,542,720,823,318,258,790,644,276,566,716,976,503,
935,688,579,631,236,660,738,628,038,191,294,760,248,433,922,862,305,120,449,
714,542,454,045,673,756,833,504,492,673,503,192,592,655,716,846,776,125,887,
500,341,609,228,051,612,556,174,628,278,025,103,749,816,350,940,613,843,712,
368,667,886,903,904,711,845,550,848,348,925,641,197,650,089,740,969,600,322,
416,554,573,236,808,892,546,689,299,556,429,675,652,158,914,707,243,789,761,
247,909,937,010,090,013,402,081,721,484,022,785,631,900,808,917,858,181,992,
457,120,200,920,030,632,137,507,400,713,232,504,446,983,556,496,092,968,137,
829,993,504,420,312,016,522,398,228,499,280,496,489,192,166,203,456,040,229,
215,857,838,825,191,689,088,727,350,725,147,579,266,695,615,896,434,380,402,
501,999,320,378,831,997,021,925,839,305,776,555,579,113,486,091,700,977,351,
032,501,809,660,840,816,723,017,424,829,829,266,754,134,298,655,991,918,665,
210,870,385,329,477,448,431,505,538,023,149,323,045,571,064,928,665,938,130,
726,114,650,466,364,498,225,339,227,120,136,841,850,724,532,642,897,391,047,
525,379,937,060,191,655,359,895,990,860,982,921,328,888,893,132,166,465,856,
576,677,560,537,218,157,682,126,693,372,252,039,101,244,440,769,709,023,080,
946,839,060,342,620,724,467,451,174,443,122,429,879,957,021,733,525,884,254,
384,076,770,472,435,296,729,672,603,552,962,437,299,500,374,248,090,328,486,
366,403,366,886,040,420,493,674,615,915,149,338,326,443,406,376,937,701,608,
965,208,919,931,935,733,018,977,102,479,512,109,039,397,659,487,188,964,012,
426,639,991,588,173,022,836,544,326,402,694,043,650,266,952,212,910,127,465,
549,477,035,281,802,719,583,736,591,796,839,921,249,732,410,116,728,394,798,
566,810,356,431,357,254,710,325,858,908,680,724,146,611,207,580,222,223,403,
351,150,823,212,542,890,674,082,492,849,179,996,448,233,930,065,781,031,470,
991,184,745,818,641,050,040,621,072,732,170,841,319,279,135,285,002,909,617,
307,300,398,397,069,219,323,148,034,061,309,488,421,146,646,486,788,766,168,
809,036,032,219,115,168,158,557,576,207,884,292,333,680,805,189,118,672,563,
999,771,928,256,378,942,947,183,485,324,652,945,605,465,096,543,874,176,098,
302,897,212,407,348,978,973,302,347,692,010,900,842,366,804,932,925,562,811,
401,347,831,497,652,356,918,647,162,491,772,690,846,969,000,038,127,194,332,
022,052,138,075,160,320,496,012,272,489,566,881,215,031,601,791,775,912,772,
142,334,961,368,422,252,549,251,018,604,029,907,728,624,904,378,068,677,706,
880,685,691,706,462,398,922,412,511,162,168,541,458,671,290,839,175,822,358,
431,470,488,457,887,078,227,650,125,861,198,003,858,475,784,022,749,005,522,
660,783,723,184,499,063,520,566,891,567,740,864,179,333,583,577,083,011,022,
297,193,676,420,740,850,599,692,224,314,170,756,734,046,482,581,669,360,992,
380,175,623,115,435,772,673,040,439,158,479,445,345,664,000,596,119,466,448,
433,127,800,620,277,205,047,811,285,305,619,599,809,070,671,029,754,992,180,
832,509,711,034,902,157,192,325,524,943,567,250,111,559,922,955,929,058,520,
527,109,688,543,488,823,967,765,256,580,462,731,856,984,395,958,564,814,837,
454,671,100,943,707,261,558,677,142,109,021,467,315,261,921,782,793,639,132,
246,056,295,472,629,538,678,639,246,437,561,547,103,729,935,434,405,153,984,
858,997,983,996,804,036,254,288,809,439,270,327,597,646,458,793,914,150,485,
803,714,214,815,184,910,559,988,809,723,334,014,009,361,384,458,494,907,600,
999,114,088,528,396,959,788,768,788,449,521,080,402,180,964,329,993,751,221,
160,241,301,169,371,859,380,858,548,391,700,513,402,827,684,003,185,838,988,
068,746,071,932,841,974,448,947,692,343,848,654,642,048,598,626,823,897,253,
289,009,147,260,765,015,985,046,896,063,501,222,165,567,618,975,821,711,744,
105,300,587,381,243,431,362,938,794,928,147,410,569,173,061,189,197,450,166,
856,403,627,621,248,378,243,028,282,367,822,913,109,158,668,505,194,552,994,
726,002,644,884,167,282,123,008,506,037,837,028,909,153,023,647,126,592,821,
082,430,067,095,496,770,311,635,248,687,362,438,266,516,980,493,166,880,451,
686,262,894,338,064,467,589,809,202,798,263,718,003,923,597,429,346,402,624,
608,813,834,901,656,284,270,430,737,729,095,911,302,315,159,761,905,641,590,
693,376,000,214,245,800,529,650,209,478,637,592,789,080,700,883,983,289,407,
572,883,295,415,113,105,842,189,619,889,431,342,342,604,560,015,764,145,464,
103,438,062,281,769,574,731,913,379,123,892,975,486,393,123,853,818,354,358,
562,206,942,895,750,503,870,378,100,564,510,776,970,027,778,723,362,082,612,
710,534,395,035,501,477,404,669,368,746,660,876,367,712,036,073,461,326,771,
983,789,310,196,597,113,690,955,839,697,903,776,171,860,972,328,665,108,951,
446,312,975,273,678,147,350,784,849,749,079,911,606,204,854,714,506,139,347,
692,757,236,135,642,112,328,528,459,214,481,980,779,015,528,303,013,504,053,
870,173,689,285,598,158,120,751,736,004,696,952,876,182,374,818,114,229,631,
485,172,252,918,622,175,528,302,987,203,022,703,961,560,189,487,168,804,729,
482,648,809,941,485,113,163,149,977,157,532,957,772,669,890,528,490,770,981,
094,246,574,730,809,586,891,465,385,670,843,158,443,822,641,852,353,243,141,
837,882,296,007,857,858,566,295,202,701,135,262,108,155,946,135,440,918,472,
653,386,841,889,169,383,969,094,868,143,269,926,215,035,131,816,068,874,320,
540,565,671,797,769,023,471,830,395,899,991,158,512,251,480,629,838,578,611,
256,970,906,352,087,768,994,568,170,699,423,869,557,701,748,905,909,587,269,
534,240,814,387,989,011,261,987,185,407,290,257,224,055,298,287,714,595,149,
390,844,759,927,864,889,619,490,796,792,842,161,332,422,654,102,041,671,985,
450,532,554,941,717,079,163,118,462,213,996,120,647,198,031,361,759,629,559,
918,337,180,373,094,748,898,826,415,038,367,194,913,924,064,249,632,880,540,
444,915,967,352,446,193,762,564,109,679,945,559,035,808,487,801,372,318,538,
375,782,240,613,952,188,295,831,694,166,642,516,290,547,688,815,183,592,801,
394,844,740,943,790,698,503,772,203,862,077,597,221,881,820,343,162,968,431,
790,812,911,348,781,013,065,328,207,591,888,708,623,688,667,658,052,795,181,
961,353,409,142,796,747,310,379,286,376,599,654,572,281,368,986,647,865,666,
524,695,887,563,751,452,935,301,285,359,736,157,076,475,199,507,758,656,634,
568,469,124,526,326,491,013,573,536,406,303,441,361,012,331,352,326,528,259,
914,382,566,911,226,743,747,318,728,487,460,837,257,480,642,915,051,609,301,
466,865,691,336,107,382,052,367,391,979,048,784,976,899,178,666,352,162,061,
997,921,289,833,460,051,972,010,804,090,193,280,311,332,785,758,408,823,449,
231,559,829,974,584,121,790,289,714,131,879,133,897,573,700,587,188,003,283,
843,037,997,222,191,254,953,155,976,354,535,919,805,524,364,534,686,974,741,
676,765,498,155,686,277,522,987,978,080,153,388,128,749,086,534,749,390,585,
953,174,984,777,504,844,361,307,054,972,486,038,490,414,798,685,198,328,931,
758,808,680,335,392,758,743,603,598,867,821,329,648,428,510,622,179,290,023,
040,455,266,363,691,073,456,200,996,142,945,514,095,642,066,440,113,784,118,
556,355,500,807,069,369,379,911,581,219,898,893,238,145,846,351,263,974,234,
568,802,077,719,691,547,081,023,160,806,134,898,460,652,223,667,416,873,614,
193,227,923,819,281,994,575,117,004,894,539,507,422,706,812,421,836,960,314,
450,978,056,099,663,354,992,894,500,898,507,399,391,031,578,490,496,634,032,
544,811,714,737,933,481,477,876,384,123,372,176,270,945,449,388,256,727,904,
852,560,460,736,969,085,996,246,898,221,471,920,979,432,868,147,606,245,899,
736,609,053,413,122,187,797,029,706,628,216,770,128,903,227,413,982,591,615,
635,618,802,600,962,718,570,849,638,041,828,942,644,233,718,461,738,670,045,
795,624,320,981,113,174,645,692,621,795,387,905,219,793,029,460,789,409,707,
938,696,894,458,876,994,701,731,730,138,763,992,101,015,878,305,428,839,934,
154,304,534,322,274,275,873,455,681,241,564,024,082,764,075,594,781,341,568,
519,040,374,822,922,028,944,497,137,236,514,894,658,997,817,688,352,004,841,
019,574,822,278,140,362,378,985,593,746,441,717,381,098,145,986,022,853,677,
618,609,716,197,937,942,840,163,723,226,289,175,532,284,792,850,660,016,365,
074,250,518,115,835,317,232,514,297,722,953,081,317,406,583,664,341,061,361,
387,424,459,867,167,296,218,539,872,750,042,384,197,352,021,651,509,051,250,
087,466,453,215,233,863,509,485,371,232,746,826,219,842,845,536,529,196,137,
015,181,672,469,660,652,259,493,171,711,557,606,930,394,341,936,312,480,003,
384,380,974,988,435,145,895,000,463,756,050,985,453,218,412,515,866,013,275,
034,901,784,299,678,100,717,429,811,375,210,258,452,100,084,258,480,663,986,
285,463,883,657,835,922,873,378,575,191,201,325,971,673,039,261,421,533,192,
038,301,372,585,634,113,342,745,689,498,145,169,244,060,316,537,813,678,741,
552,212,869,859,274,926,489,378,445,041,064,992,962,937,560,154,681,031,225,
456,278,501,135,099,668,381,340,135,259,061,371,330,447,070,217,672,041,396,
728,962,350,562,833,733,297,717,542,679,826,474,491,918,321,100,141,439,844,
122,381,405,285,029,576,983,571,156,138,846,653,865,360,032,054,134,303,396,
196,205,680,500,405,300,288,527,403,679,050,579,426,886,754,524,658,284,357,
687,304,856,198,249,727,876,024,101,937,964,109,602,822,832,344,811,866,770,
977,997,024,562,187,434,775,316,703,548,869,136,232,398,718,294,047,097,802,
330,721,922,941,018,518,831,754,406,424,931,354,283,400,536,371,618,259,558,
446,261,659,128,384,593,793,868,915,989,414,895,350,471,678,566,610,974,110,
701,099,052,042,763,617,150,048,330,792,224,937,914,285,460,773,572,260,631,
912,861,407,069,603,247,672,848,780,858,528,946,907,748,391,268,242,701,609,
189,937,423,912,842,145,626,228,136,625,882,465,749,742,423,840,619,145,669,
934,240,158,594,622,009,525,754,427,483,761,556,087,950,829,253,088,831,314,
784,106,451,369,154,403,103,712,742,564,115,344,231,435,191,942,820,472,144,
449,873,524,108,948,379,525,452,436,110,226,350,748,641,566,618,320,564,506,
940,236,745,235,678,212,585,275,675,840,397,498,525,906,372,307,067,912,370,
678,231,271,043,788,038,003,285,348,502,569,978,156,845,315,055,139,502,344,
760,590,450,623,007,634,680,903,172,726,467,799,949,430,293,943,434,261,783,
286,207,183,835,761,881,493,726,313,793,299,499,010,859,787,238,232,288,105,
819,714,342,673,799,277,568,329,058,398,603,539,252,514,167,510,466,394,969,
535,404,703,326,381,604,453,983,350,722,771,693,581,941,981,611,379,160,669,
040,188,605,623,187,847,971,608,819,792,643,039,948,973,509,136,880,445,967,
005,923,337,116,115,439,776,781,767,357,782,103,130,358,744,347,062,213,059,
910,859,126,063,157,923,745,811,314,789,800,487,774,045,312,568,782,521,713,
495,859,098,513,177,826,675,968,983,831,787,658,544,191,378,061,641,270,316,
016,175,977,286,060,268,967,061,277,618,240,932,762,394,322,334,235,152,800,
762,672,164,950,360,975,514,966,771,734,383,594,903,709,306,705,393,755,784,
545,486,658,824,766,503,392,736,487,293,021,136,438,296,671,289,341,939,057,
189,646,178,718,630,151,918,484,594,157,094,616,741,419,573,087,546,707,356,
367,924,309,409,373,562,753,082,797,110,639,889,109,544,324,080,834,360,541,
054,800,490,317,569,729,817,098,414,421,599,720,911,728,946,840,267,177,242,
536,820,988,548,472,614,166,883,495,293,126,684,141,660,974,967,813,035,539,
311,511,009,079,900,115,932,421,672,585,383,729,089,759,471,549,420,313,756,
689,160,262,617,306,913,903,788,135,042,566,096,964,517,491,045,389,842,607,
876,209,760,922,043,903,414,711,329,976,978,706,908,265,981,656,147,664,931,
839,495,110,252,854,915,830,921,011,097,519,516,647,923,987,884,248,920,657,
681,863,133,152,678,514,209,559,242,861,539,458,423,620,181,416,855,559,940,
177,486,943,004,058,934,285,915,269,534,530,643,696,988,076,916,735,553,509,
228,014,253,896,694,496,649,859,517,426,433,819,424,228,319,941,347,486,694,
954,844,131,338,578,024,126,674,517,413,154,405,536,453,634,443,840,662,871,
177,955,546,207,644,378,732,606,720,809,853,263,554,619,922,473,410,042,491,
094,625,526,867,230,465,994,053,202,431,114,638,670,770,944,746,930,084,473,
017,044,748,311,021,627,353,969,929,934,067,029,920,259,888,186,232,325,349,
491,572,526,550,263,439,717,965,827,029,193,912,025,944,607,067,968,576,868,
083,557,444,720,968,794,614,526,835,347,262,268,368,924,608,515,235,416,755,
631,171,453,018,874,503,334,180,981,565,272,140,350,613,713,644,679,030,025,
953,479,178,707,310,305,710,728,338,312,781,159,946,220,571,593,353,652,074,
958,002,276,434,179,085,299,308,203,928,389,775,953,765,812,003,966,301,537,
001,195,236,538,148,249,906,711,463,257,689,232,402,958,081,605,524,331,445,
279,421,798,012,968,718,284,463,734,634,198,063,653,853,192,368,549,595,359,
294,404,065,057,554,589,189,929,395,667,286,517,097,447,610,346,339,955,613,
298,662,179,791,649,000,438,051,910,186,269,658,997,628,132,842,929,747,722,
492,733,510,695,866,501,733,189,827,979,695,262,239,750,870,734,934,917,760,
415,599,517,827,561,882,166,553,384,918,630,555,074,108,406,556,240,860,239,
387,256,255,788,645,989,876,735,158,905,731,352,672,385,952,643,072,545,466,
558,203,271,348,046,601,330,516,974,055,419,737,541,150,099,902,944,965,729,
013,634,612,782,818,584,253,278,170,813,201,123,596,758,597,811,688,792,584,
420,994,448,584,651,119,069,048,982,531,610,656,694,683,915,326,707,188,185,
431,901,145,078,985,033,192,065,931,886,892,949,967,908,475,940,637,609,425,
476,801,840,278,429,472,626,328,782,425,985,656,121,266,936,545,343,549,929,
459,870,382,986,274,741,485,909,925,220,284,585,596,308,115,456,561,467,685,
125,413,961,421,573,775,229,127,213,360,773,359,362,988,983,185,083,097,927,
569,239,531,079,001,989,543,959,454,513,769,547,434,919,770,357,342,686,185,
976,775,094,182,294,107,538,396,511,958,709,899,342,705,648,510,968,975,028,
780,274,415,386,801,369,852,132,501,291,782,393,233,380,040,628,770,246,246,
795,735,100,159,996,579,597,720,584,778,424,257,236,990,228,355,941,559,272,
189,213,438,601,307,461,170,233,101,527,458,826,578,043,450,608,362,335,607,
664,603,429,914,945,203,797,755,946,301,908,341,572,473,413,591,403,273,284,
366,163,787,905,993,438,447,556,640,714,145,631,001,789,923,978,751,131,917,
238,563,050,164,038,501,330,792,029,574,508,616,021,749,739,964,861,850,820,
649,360,495,548,204,254,734,478,630,899,133,716,031,955,708,721,541,888,986,
601,639,586,313,981,327,458,471,203,316,117,104,378,003,399,102,992,865,086,
128,632,984,825,688,454,047,339,670,473,041,404,549,261,979,106,369,726,683,
886,209,445,635,951,599,995,432,404,137,554,276,738,343,988,228,212,403,611,
568,055,306,548,306,971,293,477,186,726,465,662,515,385,940,276,580,716,537,
618,190,863,007,165,773,437,242,675,995,769,890,171,148,122,681,304,200,127,
940,884,579,919,883,685,158,110,565,869,745,028,624,068,248,755,645,331,242,
695,455,579,046,979,209,419,695,988,408,266,060,270,343,476,395,278,062,502,
079,606,914,751,508,137,277,332,189,757,771,624,974,995,378,708,576,272,010,
354,865,036,441,662,142,503,342,875,056,432,816,653,457,847,728,929,010,570,
632,290,070,167,707,683,334,267,303,973,255,590,912,738,764,934,801,685,785,
655,455,151,483,698,167,805,420,460,609,652,639,153,558,930,584,839,266,126,
272,292,015,225,607,096,993,845,696,785,918,694,468,612,246,992,224,051,514,
355,637,730,263,835,919,859,293,877,188,966,082,005,726,454,989,815,052,708,
877,439,196,114,230,326,551,957,972,370,359,802,849,049,511,787,012,410,629,
772,167,571,759,497,878,266,464,554,431,231,328,069,751,373,106,145,884,408,
565,899,893,701,587,342,660,893,776,960,637,528,869,195,233,129,960,170,055,
392,115,246,814,824,737,204,817,566,433,151,483,610,913,436,301,732,676,047,
991,677,484,999,081,057,253,926,677,647,861,329,900,343,141,357,054,275,924,
815,796,249,159,481,351,359,746,817,415,696,970,343,880,986,901,415,974,801,
310,893,095,807,936,432,586,832,866,076,709,978,592,188,646,343,566,630,170,
343,518,199,718,774,712,720,575,424,093,704,930,112,140,969,080,173,639,742,
369,876,055,394,857,559,382,311,809,346,391,745,255,260,626,806,056,826,002,
641,149,290,228,373,941,798,841,199,215,707,943,887,348,472,226,032,095,442,
767,098,582,298,935,083,576,887,962,001,391,606,755,046,241,497,947,123,343,
823,713,855,559,577,755,435,299,682,639,629,940,090,000,088,890,509,507,197,
317,530,193,954,943,444,635,713,522,986,929,521,814,373,996,060,824,542,690,
088,295,336,047,771,537,111,342,301,702,037,510,779,230,155,576,020,735,836,
568,179,052,197,205,527,092,170,713,496,311,555,860,064,346,624,829,100,552,
126,297,012,772,129,673,553,143,597,916,136,503,494,643,207,391,039,565,319,
499,070,756,511,362,821,395,683,387,039,265,441,461,239,104,478,795,348,101,
871,688,052,505,962,399,120,559,468,874,178,818,730,082,432,384,827,795,632,
997,606,780,337,564,173,288,758,545,538,423,195,850,712,371,124,388,809,360,
985,975,477,108,988,181,615,639,952,827,811,629,023,700,097,047,632,917,292,
963,711,555,387,773,520,863,205,899,342,105,312,279,863,903,160,967,708,401,
298,980,803,312,520,216,099,106,699,758,834,970,411,593,977,498,578,550,151,
725,748,247,234,429,754,610,400,050,670,204,274,330,526,454,558,567,223,782,
814,538,832,745,429,121,483,023,664,815,289,175,496,846,087,340,602,924,571,
199,167,753,883,857,327,968,314,625,933,942,691,757,023,957,854,315,378,806,
236,840,373,200,051,221,777,636,230,965,191,854,551,699,043,397,006,994,384,
182,373,958,598,686,870,646,033,532,151,918,065,477,992,192,467,680,124,491,
927,300,140,068,035,782,680,345,033,485,064,952,065,396,749,790,812,156,969,
908,626,156,950,250,778,367,933,611,478,156,229,354,253,893,507,223,350,730,
493,828,115,791,506,612,510,009,703,346,350,568,528,979,904,578,605,825,631,
782,150,687,910,654,279,622,908,637,869,697,089,914,434,948,893,140,684,883,
765,424,756,297,286,737,494,700,798,373,049,348,330,826,587,811,543,688,331,
521,282,208,730,012,543,459,031,115,353,799,707,647,989,854,550,837,130,459,
108,518,908,938,558,422,530,215,815,910,144,763,060,584,311,223,896,346,977,
355,774,105,211,974,292,398,736,738,174,506,338,349,964,080,249,733,241,627,
708,019,811,189,645,436,108,691,693,805,842,033,711,309,064,361,395,127,043,
607,484,560,869,690,403,125,295,057,886,865,623,765,005,128,678,622,227,541,
845,333,762,822,016,477,135,387,954,513,722,907,595,273,506,014,920,380,920,
956,553,914,568,140,087,034,643,008,332,535,120,590,500,805,251,317,236,549,
180,892,645,016,239,873,001,448,184,085,209,847,838,005,622,852,219,293,127,
353,884,545,837,919,951,048,808,253,508,255,703,145,711,141,615,924,974,314,
917,986,023,033,484,039,193,592,496,252,622,044,008,974,865,022,089,859,399,
747,415,999,194,733,347,731,986,716,007,191,305,953,384,425,522,209,073,558,
623,660,746,648,735,412,712,622,288,328,134,625,683,436,682,801,410,517,904,
837,625,509,021,498,513,169,845,703,386,141,742,646,353,763,031,660,752,350,
226,633,794,854,472,302,933,125,973,808,506,504,308,822,097,577,920,885,183,
286,546,292,798,186,136,015,743,134,448,908,397,139,061,531,204,739,920,216,
353,725,193,584,043,424,708,814,036,132,159,748,614,748,564,213,248,972,202,
800,331,046,394,595,257,831,080,707,779,597,278,459,271,961,152,730,286,050,
090,365,927,842,263,946,968,480,425,636,894,070,934,076,852,394,637,934,832,
425,880,741,003,418,366,378,350,222,215,363,210,413,783,760,477,745,360,307,
455,245,938,490,147,832,398,190,713,946,138,935,827,040,451,043,700,625,912,
172,173,149,564,321,971,995,006,712,040,492,022,794,082,984,903,921,844,479,
450,250,122,283,231,899,540,838,099,649,451,118,300,693,758,420,394,774,531,
007,388,533,972,299,099,707,759,326,069,741,322,724,060,642,795,095,336,762,
477,861,602,398,463,281,681,917,477,396,552,897,434,397,888,687,202,512,159,
786,950,554,506,589,197,793,509,576,087,989,083,642,871,431,629,893,934,729,
335,601,503,366,444,599,624,530,169,856,952,680,115,941,300,213,867,395,375,
277,779,922,872,449,031,055,423,491,459,224,977,856,455,100,021,506,571,607,
367,006,367,121,193,913,874,091,568,001,653,866,329,139,426,353,662,083,075,
688,134,272,963,952,925,224,547,998,344,733,027,666,181,017,485,167,731,197,
001,506,026,353,357,637,790,502,595,173,217,460,847,253,668,568,564,509,437,
403,469,149,326,242,804,151,652,021,061,622,782,758,580,448,080,409,153,694,
874,931,270,356,506,196,567,151,996,791,594,971,526,591,130,446,628,348,158,
201,234,930,058,341,503,995,476,022,431,755,568,754,169,031,583,119,599,234,
445,923,476,845,197,571,074,559,193,274,276,677,994,891,130,371,562,268,888,
931,117,907,353,999,801,995,362,640,776,683,150,150,178,355,357,129,375,112,
426,260,484,449,365,079,944,024,183,161,670,076,610,215,289,165,304,859,200,
105,063,087,507,205,491,525,650,083,006,192,114,517,738,663,394,868,930,453,
070,430,510,475,099,296,601,249,566,444,553,369,679,239,343,643,957,586,131,
792,243,748,974,058,429,906,319,399,830,074,845,867,141,247,295,394,177,558,
966,858,607,482,566,776,314,653,725,583,973,300,025,569,371,084,765,669,270,
343,833,837,237,411,096,752,837,382,500,500,921,266,620,655,657,234,399,169,
312,965,195,522,087,327,201,158,046,188,067,728,869,650,124,082,186,988,088,
357,979,762,883,119,769,498,859,026,365,527,937,853,246,360,066,520,776,202,
711,750,421,808,729,436,790,934,836,116,627,091,836,785,046,836,887,850,679,
131,808,715,820,335,944,387,975,778,415,571,993,274,625,985,866,138,390,208,
552,178,775,684,281,636,377,368,520,521,789,759,917,217,232,521,206,846,941,
998,163,031,872,039,619,253,091,381,002,062,105,762,500,725,403,013,658,736,
185,106,185,130,381,960,854,034,934,834,873,895,605,773,171,997,207,491,075,
125,910,841,479,358,237,052,226,590,609,050,267,660,573,277,773,130,501,701,
227,125,486,263,799,886,612,038,139,324,847,209,641,433,580,761,748,456,672,
851,325,828,191,706,801,794,665,933,482,947,803,870,672,800,811,621,764,946,
831,906,914,091,367,850,637,030,724,475,666,427,650,983,525,640,645,985,368,
937,463,841,717,390,883,280,359,940,808,138,451,562,182,598,644,263,817,637,
556,809,225,967,186,029,468,321,313,245,881,946,970,633,807,865,867,576,926,
884,069,145,385,410,306,677,928,539,469,947,148,184,553,914,279,424,241,009,
027,517,957,402,106,391,334,241,427,233,007,072,011,836,349,289,590,010,792,
248,983,288,293,150,996,295,405,541,140,626,705,597,516,677,175,587,403,579,
540,191,507,522,422,059,347,651,588,012,487,899,057,094,012,504,985,216,574,
527,912,166,566,804,049,034,281,459,050,498,259,361,927,301,185,930,676,359,
044,728,086,933,842,214,323,968,829,783,631,704,445,222,184,988,026,657,578,
780,518,169,478,126,913,711,388,919,308,421,898,935,795,255,154,203,588,660,
961,706,109,552,573,519,695,554,951,768,515,890,329,968,776,989,524,498,342,
902,102,549,933,718,991,276,492,699,269,363,798,592,398,901,024,444,767,792,
906,691,829,537,164,977,639,417,095,132,690,626,277,897,085,773,821,249,446,
135,146,351,249,794,706,486,982,505,948,502,177,196,111,401,141,673,057,215,
564,820,221,131,838,873,169,966,097,995,997,592,302,122,164,917,070,253,486,
876,057,459,478,449,322,625,784,566,877,462,429,508,704,482,824,287,170,077,
843,674,096,267,044,585,989,515,036,346,662,000,712,368,897,556,512,813,011,
260,152,118,924,813,927,616,141,609,709,281,288,317,330,196,076,729,062,279,
238,315,094,421,430,468,011,871,146,359,291,892,576,166,592,314,560,638,434,
919,582,722,741,263,623,880,995,847,228,831,086,539,950,584,390,452,412,214,
646,614,557,134,141,785,167,632,130,674,516,017,855,191,868,763,102,238,566,
775,323,130,448,684,791,258,961,357,942,095,063,732,266,441,971,606,704,113,
549,209,370,152,304,116,095,477,901,700,472,770,533,734,505,478,308,047,829,
566,052,289,977,014,812,598,963,396,101,324,334,027,351,301,476,600,448,103,
129,324,935,564,160,848,629,990,338,017,744,516,969,923,856,085,734,822,917,
973,921,470,963,846,937,961,610,035,112,850,500,659,156,096,980,951,352,178,
232,543,069,588,103,609,684,952,420,739,123,573,341,560,474,390,644,884,330,
593,767,735,229,379,327,671,311,343,306,831,978,335,558,357,482,534,050,835,
758,655,967,798,245,189,995,513,154,667,951,035,300,150,880,821,479,144,520,
900,103,497,268,432,585,840,243,383,729,772,511,980,571,786,632,911,023,338,
621,228,388,046,368,826,589,214,008,976,384,233,586,795,538,023,039,844,950,
874,515,599,857,828,640,883,166,357,102,070,899,608,965,293,426,008,755,333,
496,566,683,682,914,558,069,017,402,639,027,088,489,139,331,377,685,805,839,
046,928,510,819,396,047,972,480,767,232,199,798,175,648,755,061,874,013,827,
741,399,547,331,508,057,123,835,972,304,494,637,714,807,462,811,529,084,331,
682,898,794,280,394,457,340,466,337,201,268,909,101,481,868,356,251,728,037,
054,871,015,679,217,873,147,983,465,500,695,003,981,896,779,380,403,125,023,
050,929,388,735,841,522,597,705,551,981,968,184,523,243,447,183,627,606,537,
182,676,950,896,847,223,011,883,539,733,501,098,456,458,108,993,848,909,412,
737,106,489,220,057,479,778,419,615,228,954,197,623,658,812,910,509,009,825,
080,824,671,769,941,579,336,451,971,478,325,563,523,518,713,359,224,205,438,
880,219,838,591,086,511,151,200,675,395,471,624,472,393,740,036,333,837,398,
826,716,531,882,564,454,313,280,432,517,065,185,337,346,549,727,966,308,826,
082,826,289,295,951,046,978,986,653,628,368,314,972,359,217,141,042,252,578,
164,075,380,290,034,067,171,834,120,028,389,354,178,964,528,488,285,485,581,
014,640,846,027,746,365,094,529,704,921,676,361,760,880,427,917,848,400,046,
069,183,730,109,058,282,491,521,389,145,569,998,751,467,276,425,313,488,797,
458,661,076,385,754,653,446,736,736,111,809,640,386,880,810,216,980,797,668,
819,234,132,922,885,187,723,259,048,359,610,274,791,529,303,484,305,724,535,
214,810,455,051,588,554,915,884,683,206,303,106,049,694,549,319,027,946,662,
420,615,773,672,974,035,221,327,627,857,823,686,741,324,202,903,489,069,382,
814,787,319,909,665,657,868,392,183,080,621,417,399,637,584,629,069,338,847,
833,962,165,440,064,970,089,874,845,273,956,091,221,014,154,203,523,733,493,
854,480,821,997,028,512,667,623,047,401,876,859,111,730,856,543,858,582,508,
457,609,766,345,644,847,380,826,086,569,482,796,072,957,945,609,338,977,692,
231,574,094,392,949,103,056,196,820,460,328,805,199,536,215,617,234,759,646,
263,014,050,765,953,079,019,572,846,742,782,015,634,510,316,152,655,171,357,
692,801,419,945,490,540,060,958,625,227,637,866,398,916,473,735,049,796,362,
221,044,945,971,589,488,794,462,564,370,431,418,825,578,700,011,388,104,126,
885,667,614,134,488,388,970,182,811,246,137,534,664,408,565,593,845,915,492,
783,422,616,902,664,531,162,151,663,759,771,077,467,020,252,103,709,760,912,
063,479,104,273,188,223,794,568,894,833,911,792,650,764,414,275,383,551,327,
028,393,081,863,393,512,070,557,898,377,787,110,472,172,231,896,426,795,171,
152,987,900,288,849,914,614,209,462,098,285,937,937,361,157,026,291,072,898,
308,433,266,686,318,677,595,466,936,244,030,463,407,987,722,231,951,306,005,
977,916,985,807,900,247,379,133,730,955,622,153,162,562,516,757,751,975,535,
427,746,392,867,540,971,923,750,451,539,958,585,991,511,533,842,173,029,554,
038,908,253,921,335,602,144,065,400,953,767,572,039,137,285,034,458,010,634,
178,700,627,277,929,865,299,134,823,069,881,062,704,780,140,657,634,057,234,
552,352,125,505,387,060,056,991,194,380,195,209,086,976,969,424,949,026,433,
136,524,545,491,988,948,966,210,093,112,602,814,609,680,472,147,452,830,101,
403,499,957,212,907,912,880,310,164,887,434,753,042,488,729,944,690,066,580,
756,670,569,068,251,281,764,945,046,269,082,890,675,843,320,820,015,123,425,
334,428,589,085,756,225,845,363,964,036,360,926,920,533,848,797,621,493,368,
469,634,313,368,453,454,488,621,502,070,815,236,522,259,864,449,923,437,539,
537,641,625,666,145,155,545,391,616,842,178,945,059,542,716,592,070,162,564,
781,628,540,987,158,541,179,571,053,357,398,644,672,508,808,835,350,110,759,
828,769,185,473,463,820,510,482,125,138,639,453,928,323,652,303,784,987,410,
984,707,095,358,241,227,342,061,676,245,273,746,109,715,114,101,314,647,158,
816,692,066,691,727,906,764,239,024,632,766,177,950,175,803,039,179,650,993,
391,031,305,594,897,930,933,379,267,712,806,751,190,226,783,558,615,991,060,
102,009,542,820,209,536,312,793,050,879,069,674,186,469,879,074,837,756,023,
273,844,766,638,532,622,246,379,354,253,407,317,614,417,478,335,355,787,893,
642,793,149,449,531,299,502,097,151,425,482,259,326,340,950,299,491,583,196,
517,723,455,669,518,515,172,320,200,494,763,721,886,768,968,098,828,230,435,
679,550,876,949,360,740,700,607,547,050,539,233,004,341,384,627,650,484,990,
290,263,440,456,077,010,688,277,555,250,340,692,081,094,964,689,732,843,800,
808,671,953,923,603,834,822,241,828,122,573,460,570,064,561,026,142,230,594,
399,808,093,256,941,418,606,276,808,543,334,340,432,490,518,971,532,333,526,
828,201,343,998,189,226,222,208,280,817,074,663,655,435,014,609,558,851,240,
058,242,598,803,450,017,507,680,967,270,325,522,057,605,620,827,558,887,444,
962,923,721,910,985,162,047,268,000,431,522,732,164,974,553,953,066,164,595,
384,782,502,929,756,163,531,496,933,523,032,160,939,383,061,610,973,703,929,
439,269,785,624,867,358,667,996,028,009,703,127,657,974,929,819,889,930,355,
628,691,221,859,107,377,058,915,971,271,643,513,100,828,655,060,353,209,670,
355,607,596,652,797,428,446,929,572,034,473,946,980,500,306,793,753,923,071,
581,952,233,684,786,017,202,435,452,070,461,214,006,244,774,796,266,446,989,
533,384,881,782,430,987,992,103,598,292,093,158,510,345,233,430,232,971,190,
658,115,898,847,546,546,879,335,171,130,069,560,528,442,150,135,905,076,014,
327,321,879,304,854,367,782,510,793,031,403,644,337,310,463,816,951,740,946,
104,719,719,725,695,171,205,620,889,754,292,689,974,635,744,688,280,014,242,
159,115,323,390,817,713,214,693,901,196,070,749,358,519,498,368,114,989,280,
307,039,524,359,366,636,258,879,099,548,308,786,077,039,701,469,044,188,021,
647,596,083,785,414,729,278,092,473,252,501,225,865,097,796,459,702,066,041,
138,108,340,745,880,946,242,796,164,043,540,151,352,814,701,687,324,065,586,
438,028,200,620,432,383,893,927,044,026,976,961,184,333,573,292,633,215,168,
860,538,955,295,549,596,224,733,206,310,606,678,935,443,033,432,246,465,121,
977,986,799,192,555,024,326,690,514,504,407,061,293,402,153,869,643,277,288,
385,388,426,968,138,502,688,272,232,676,540,580,344,569,205,602,203,262,214,
192,270,268,447,204,175,828,538,947,975,019,517,415,661,085,382,820,103,579,
008,843,518,613,227,421,868,565,604,837,112,793,626,610,159,766,791,286,113,
721,146,154,760,810,344,225,810,763,866,110,527,965,292,726,151,824,461,424,
383,626,714,259,008,950,665,917,418,183,423,632,986,482,028,209,400,000,959,
628,657,200,390,660,077,844,442,428,595,737,504,251,430,144,132,539,820,919,
180,031,268,910,738,237,337,201,275,692,980,619,618,364,801,438,346,220,089,
201,963,794,512,536,118,137,726,188,093,258,038,060,983,624,128,642,492,210,
461,315,486,978,390,304,817,912,548,108,223,174,472,834,658,036,568,271,962,
897,957,197,413,135,016,279,687,643,670,369,879,556,265,070,996,997,383,066,
555,741,781,605,192,127,014,040,434,814,321,132,714,114,173,881,854,269,766,
981,854,155,664,239,709,425,753,573,641,372,914,014,597,000,655,053,799,132,
218,940,559,134,101,032,283,394,756,141,099,347,178,903,721,511,480,165,727,
563,380,854,676,761,959,174,259,221,570,247,582,462,206,015,375,028,236,349,
464,111,013,788,174,892,872,477,496,209,073,604,596,348,722,733,898,615,892,
994,307,057,029,191,818,508,575,159,225,286,728,896,983,538,921,304,349,801,
018,114,364,786,880,934,513,445,148,288,730,671,075,443,972,699,055,574,021,
408,594,111,949,974,831,740,297,607,642,970,957,784,002,982,723,185,869,803,
515,095,502,094,641,297,597,811,224,941,159,612,005,634,571,351,051,659,974,
364,500,685,488,300,058,034,538,508,767,621,603,100,453,149,010,148,405,204,
377,917,004,688,545,171,936,625,116,879,347,345,427,981,501,603,071,638,579,
795,055,200,310,581,814,820,403,628,340,300,661,101,114,129,738,868,539,357,
318,369,727,683,026,501,136,180,293,633,821,215,314,054,501,971,729,128,485,
143,800,481,935,780,502,955,106,377,213,400,711,369,073,396,851,651,603,551,
730,963,897,816,695,246,070,101,392,346,970,351,314,651,537,246,997,353,748,
178,277,792,978,650,907,767,739,725,098,002,009,347,379,055,439,138,296,506,
949,701,216,215,289,821,038,265,295,608,245,430,120,351,691,010,142,674,490,
430,744,874,332,251,627,118,425,110,708,379,216,105,660,199,126,544,906,836,
202,212,848,607,508,763,497,232,043,602,634,252,313,566,922,762,538,813,617,
964,226,912,882,092,803,901,315,550,610,134,470,588,010,311,533,417,219,335,
228,797,378,284,466,939,272,203,035,836,654,610,840,510,522,389,101,396,407,
729,201,418,613,219,774,332,121,703,552,042,626,546,620,990,836,472,750,658,
452,816,688,232,603,546,873,469,006,695,271,071,199,874,589,327,490,847,321,
980,778,690,010,445,938,166,256,682,063,302,984,494,943,170,967,902,045,810,
413,847,261,553,268,860,581,913,433,652,604,993,153,848,757,621,773,784,548,
018,967,041,982,137,973,207,861,482,480,874,808,971,887,641,566,758,578,713,
844,158,028,190,600,994,098,454,553,012,079,017,507,667,448,107,281,796,368,
266,046,250,048,007,237,714,851,691,407,965,506,808,517,133,914,823,508,534,
397,522,939,904,623,846,982,494,741,750,186,201,114,495,382,169,466,087,653,
546,791,822,242,161,040,627,573,785,859,018,902,411,552,851,063,546,866,580,
173,692,814,848,268,196,504,850,680,581,463,549,691,221,548,449,522,419,364,
950,326,123,145,576,471,502,663,126,898,271,509,409,466,633,123,398,099,191,
544,425,038,492,015,755,587,915,064,069,875,003,800,098,151,468,267,307,580,
525,741,162,780,961,862,117,487,228,784,546,779,980,532,660,438,777,084,532,
566,752,068,231,530,031,878,363,591,458,420,814,777,307,178,743,471,110,685,
214,200,486,434,513,873,178,882,662,952,955,832,554,167,513,480,854,682,438,
201,252,454,922,864,381,273,086,288,185,072,144,600,520,799,366,149,435,939,
235,578,798,338,800,401,033,424,774,927,318,571,561,247,541,880,022,722,280,
205,411,685,645,809,002,913,087,443,751,568,897,556,997,047,168,806,495,576,
679,374,005,512,224,259,617,074,847,679,572,803,250,249,593,271,022,879,217,
612,549,006,526,552,344,704,663,137,409,251,512,363,473,511,408,829,857,769,
255,637,724,492,329,190,389,264,211,320,748,092,930,625,874,962,368,213,018,
908,232,598,308,031,001,819,853,677,702,611,687,249,047,877,449,073,144,549,
999,625,416,897,042,393,793,562,384,366,308,589,612,102,138,056,985,474,855,
996,459,347,111,252,385,792,612,969,043,963,052,089,039,268,384,949,187,105,
103,413,963,387,697,775,306,478,660,736,399,365,982,060,767,618,811,102,875,
099,547,097,388,982,307,639,044,480,374,073,660,925,986,620,043,638,967,498,
603,237,478,552,504,214,678,618,212,322,669,601,222,681,476,495,219,487,682,
786,297,434,961,732,464,346,516,305,503,950,318,279,481,133,951,187,140,868,
421,385,260,426,151,837,067,828,837,865,294,007,958,238,537,156,029,331,693,
243,830,078,278,514,489,026,880,903,770,807,178,630,517,730,301,852,425,610,
606,977,905,002,849,567,849,196,956,007,491,261,129,718,470,201,633,387,145,
547,917,479,787,968,570,990,500,934,524,708,178,419,794,878,095,122,401,817,
743,391,710,223,601,905,144,636,144,662,924,717,263,177,752,887,426,795,823,
905,156,054,058,438,726,901,645,924,721,039,359,654,058,994,260,114,170,496,
301,209,641,780,864,459,944,944,051,953,785,117,528,806,502,362,812,401,426,
120,018,444,714,751,639,388,885,005,501,461,115,628,332,347,046,930,927,786,
470,986,901,357,171,442,760,210,079,093,171,866,609,159,673,208,080,770,056,
029,346,397,969,500,451,632,801,163,765,860,941,522,398,879,468,692,264,540,
962,265,105,193,290,523,234,031,212,386,691,069,193,972,935,774,900,470,514,
933,185,921,982,955,272,858,884,428,193,429,679,283,461,852,681,420,906,563,
123,138,351,168,944,049,601,550,422,543,796,473,844,413,467,912,523,055,165,
923,685,150,567,740,606,616,402,937,723,750,349,407,264,914,341,404,757,187,
833,949,337,836,289,610,930,646,727,477,419,993,092,078,265,136,467,451,282,
603,044,672,069,065,453,479,250,561,882,283,273,179,025,473,326,560,606,893,
993,529,082,923,315,744,624,326,293,398,240,230,742,871,347,795,324,885,350,
492,170,738,379,439,194,012,592,505,773,244,693,371,324,591,875,489,374,433,
542,401,274,561,962,196,383,540,223,941,344,021,025,462,713,203,784,615,098,
959,680,666,934,584,657,754,666,733,110,437,183,847,408,950,336,260,141,457,
243,046,525,624,850,779,092,177,762,566,105,331,346,075,837,948,769,410,705,
870,223,222,711,299,809,668,147,377,082,352,958,581,838,498,757,551,901,577,
977,404,428,841,396,886,468,697,892,637,649,226,491,499,857,339,655,805,583,
062,801,926,846,740,687,731,323,195,257,545,880,426,283,735,325,661,093,928,
104,105,603,704,231,956,069,967,850,223,301,205,419,426,527,004,228,699,724,
330,822,694,157,843,977,707,412,176,679,870,313,860,967,737,182,580,858,423,
603,694,243,671,747,409,416,575,233,010,032,504,579,603,706,037,801,185,249,
774,175,332,916,394,270,925,172,075,870,181,554,142,521,214,791,263,728,921,
332,427,379,391,642,945,382,141,038,882,459,316,598,709,493,171,794,283,345,
885,737,379,514,767,274,184,261,437,251,715,212,148,707,621,431,256,153,255,
702,696,622,084,320,980,380,805,369,121,809,472,170,803,068,069,247,268,907,
805,281,180,597,527,875,039,158,087,107,861,553,041,730,655,427,164,802,708,
356,460,993,649,969,289,030,331,040,619,459,169,444,490,472,243,839,681,625,
042,348,481,256,874,847,913,714,345,322,079,121,392,432,143,861,411,060,149,
869,505,830,909,148,242,068,666,823,447,581,459,105,076,096,591,923,259,867,
412,149,683,361,220,977,045,150,652,638,294,416,977,373,851,836,339,724,025,
041,358,362,342,941,990,453,619,973,895,337,581,080,606,396,270,229,447,025,
701,122,869,727,418,367,846,569,419,307,778,061,361,167,887,023,940,386,282,
987,456,924,146,343,321,861,584,504,601,264,695,271,297,725,193,082,033,358,
551,025,378,080,222,379,870,391,079,655,845,293,666,754,323,280,879,197,159,
418,379,627,539,516,927,822,156,839,958,585,245,364,594,213,513,108,145,616,
983,180,721,894,233,387,082,722,779,820,650,304,573,572,609,390,515,195,565,
137,777,312,511,068,190,023,524,670,357,954,004,328,744,412,041,558,704,281,
984,609,578,585,984,934,597,065,969,632,274,669,660,535,732,930,682,722,874,
555,962,301,946,970,003,100,454,478,439,795,888,489,042,396,768,453,026,195,
172,709,696,953,227,305,717,438,050,061,505,996,566,838,782,875,931,826,766,
749,989,294,815,584,752,589,942,743,866,663,789,260,205,889,549,154,333,310,
547,023,401,323,099,132,137,631,814,395,419,884,991,552,494,948,710,997,503,
734,137,880,615,664,389,045,780,138,993,428,709,822,948,055,100,146,389,534,
558,584,225,335,173,137,007,076,908,857,547,393,584,012,256,157,728,941,908,
412,782,319,808,278,220,916,543,085,072,867,719,733,799,292,698,165,492,509,
632,519,167,614,407,342,248,964,310,993,774,771,613,013,714,515,320,575,283,
617,907,182,243,394,625,063,403,875,318,806,023,166,292,940,849,142,118,762,
320,948,780,993,111,559,943,433,568,963,921,112,377,393,611,426,201,428,364,
519,616,091,799,023,645,025,248,774,908,771,316,080,566,104,755,738,373,292,
179,848,971,798,633,216,446,199,258,608,088,552,962,817,721,215,234,403,233,
017,704,489,951,468,543,095,275,722,803,094,823,176,287,784,931,132,151,078,
378,939,879,697,553,558,705,634,932,742,739,835,896,285,249,040,860,896,342,
874,514,613,967,255,459,624,540,849,683,214,656,669,614,447,200,483,965,516,
626,424,415,844,438,568,523,525,971,214,082,269,850,077,195,099,244,667,398,
312,875,953,362,483,415,305,686,325,087,203,270,933,968,289,656,939,445,881,
057,742,740,475,015,602,769,232,586,704,300,371,879,888,374,085,565,286,705,
805,172,411,135,202,746,696,512,263,254,380,818,857,143,607,688,855,865,239,
050,033,163,186,348,395,293,103,450,020,874,948,827,656,591,608,890,997,425,
169,385,344,717,190,803,925,606,661,191,232,193,042,055,695,315,025,994,173,
585,242,331,231,355,953,781,528,602,192,411,460,410,278,139,501,939,153,845,
937,534,291,260,186,716,064,480,284,066,634,621,512,262,592,615,750,427,362,
846,048,743,659,484,404,685,872,206,340,428,103,617,973,471,991,651,930,207,
757,379,437,151,296,337,146,908,226,413,359,605,772,739,824,454,633,180,458,
398,884,856,677,406,008,937,915,891,449,799,246,414,651,952,741,334,907,004,
673,465,343,038,223,962,624,787,692,225,676,994,877,917,719,369,743,422,609,
684,488,999,200,782,845,596,258,465,400,101,184,081,591,224,184,414,748,234,
551,396,348,065,202,312,287,917,467,158,203,040,519,157,942,124,301,638,701,
621,175,101,097,187,253,058,420,501,404,785,683,930,217,134,018,619,682,733,
790,745,148,358,505,297,615,759,117,792,580,468,551,694,650,582,842,419,554,
276,280,362,856,669,401,113,482,067,358,321,407,023,278,046,224,235,908,658,
051,056,306,155,244,987,130,603,729,580,140,193,276,959,045,850,948,497,112,
877,240,228,350,737,294,663,831,197,439,009,786,814,661,465,377,908,483,549,
793,893,650,320,953,999,590,101,858,476,401,779,520,301,782,344,379,409,185,
374,636,879,615,683,574,371,897,884,152,127,871,295,748,179,020,505,695,703,
402,433,646,751,357,882,857,159,702,118,243,968,555,616,672,701,899,943,393,
705,936,458,870,477,218,654,274,513,593,647,068,229,449,763,536,267,635,985,
505,278,111,743,580,860,111,089,828,589,804,269,610,851,913,177,963,518,628,
962,895,333,469,245,194,103,055,253,134,998,851,128,868,216,624,990,953,179,
793,337,695,741,752,609,188,375,808,137,512,661,437,688,736,881,299,426,429,
298,519,319,167,806,735,088,350,527,419,476,774,921,926,737,470,533,535,998,
831,630,185,364,687,514,847,904,070,808,835,161,410,668,541,741,564,865,575,
527,143,255,820,376,526,886,303,813,512,799,194,002,729,873,093,592,657,212,
616,892,195,785,273,549,254,056,133,883,630,530,298,305,150,804,614,498,179,
625,188,549,160,614,808,221,035,686,806,731,048,275,889,360,120,737,846,062,
030,084,828,560,137,908,777,100,432,073,217,264,833,394,226,594,817,171,585,
210,132,807,980,445,674,847,028,113,235,741,519,550,326,358,878,944,035,716,
484,183,054,269,106,392,268,375,461,906,516,416,525,210,984,797,508,392,617,
416,283,723,776,636,501,175,178,601,130,476,990,826,216,103,936,630,755,908,
443,825,101,009,960,837,144,295,547,505,902,350,909,109,283,306,159,099,894,
352,919,044,667,769,036,953,230,024,889,786,772,472,475,678,293,416,964,512,
432,470,872,564,065,520,059,139,264,991,854,188,019,000,560,644,613,193,340,
225,795,793,425,012,249,669,121,103,223,363,864,130,672,217,030,640,961,832,
952,191,444,038,967,768,666,350,898,733,331,095,703,072,691,407,943,852,175,
935,370,498,382,907,118,080,254,393,927,238,462,644,599,219,566,967,276,762,
940,131,420,742,634,236,895,184,908,676,379,505,378,311,447,983,922,067,099,
206,181,067,919,696,264,010,876,148,807,350,279,108,587,039,720,525,231,971,
827,580,729,805,387,068,773,506,211,620,489,068,977,652,964,363,092,048,777,
796,569,333,754,996,468,056,922,853,670,318,812,679,068,066,118,612,023,883,
049,473,926,008,935,540,746,019,537,854,309,923,282,992,881,216,334,889,062,
298,139,178,200,088,107,669,833,050,316,320,258,214,613,004,932,757,815,224,
154,197,103,020,506,962,672,548,956,183,622,716,551,504,436,095,038,811,203,
187,785,037,773,964,574,576,044,831,449,499,439,494,260,542,493,836,016,195,
387,222,583,946,677,221,707,592,867,950,538,907,979,488,099,575,326,879,175,
144,094,041,374,877,495,995,985,857,567,771,060,154,938,863,717,328,220,112,
695,628,990,848,685,554,620,062,736,731,017,733,841,432,068,729,226,430,698,
418,036,272,386,011,269,700,265,705,221,378,698,807,198,557,710,738,983,569,
052,763,969,931,976,370,890,226,334,510,763,179,237,796,081,955,839,164,514,
906,631,449,056,613,759,431,610,615,318,003,023,405,240,794,211,165,572,335,
298,100,483,875,316,130,058,949,468,389,302,613,169,161,865,195,847,101,028,
992,947,550,568,503,432,761,902,182,164,712,887,945,290,866,270,724,681,269,
334,149,197,708,772,144,433,533,769,048,860,814,061,764,098,565,408,933,736,
340,046,151,007,944,780,888,592,606,336,982,364,036,042,090,061,053,871,831,
928,330,143,672,287,515,474,282,224,169,409,668,486,548,568,897,978,668,399,
698,793,583,761,440,779,639,622,728,406,803,780,094,255,621,674,283,085,124,
957,276,324,211,526,116,191,408,194,294,702,357,269,719,953,730,134,481,000,
047,253,714,281,400,589,308,294,610,073,012,250,262,103,136,753,030,227,079,
180,452,649,016,717,957,473,233,807,246,781,724,223,095,539,341,801,293,799,
524,692,641,622,019,904,892,354,780,243,512,018,126,110,117,569,499,370,474,
133,742,401,515,876,660,682,914,205,132,855,770,074,292,748,936,959,555,313,
934,125,002,847,197,316,590,006,734,352,601,620,135,678,766,003,248,639,480,
179,136,056,816,516,468,626,631,820,988,697,536,590,531,969,666,041,749,955,
936,782,257,334,094,459,748,517,152,756,063,976,070,366,506,281,565,112,121,
885,962,109,970,017,915,814,470,768,433,124,295,255,306,117,227,265,117,422,
955,307,060,792,318,730,228,392,645,711,433,230,864,817,918,078,205,527,497,
503,500,146,289,272,598,218,467,471,348,202,721,666,627,381,460,182,883,030,
382,513,707,970,855,875,270,392,913,261,080,200,981,874,465,846,848,110,621,
059,889,892,166,761,054,244,410,462,718,833,268,146,441,530,729,958,637,220,
931,922,520,999,562,336,726,055,870,414,142,644,878,683,268,227,531,044,042,
610,122,481,468,074,060,002,450,379,185,647,984,420,592,081,481,704,300,677,
855,612,812,857,628,148,003,912,431,660,827,927,932,666,309,500,680,611,461,
132,821,095,957,110,608,685,485,533,150,011,253,669,022,853,022,723,292,679,
577,250,234,916,725,229,465,494,825,623,819,504,525,480,363,697,779,820,906,
441,923,428,694,864,080,104,161,848,917,391,822,114,545,763,803,602,420,647,
306,811,162,800,128,800,425,067,227,632,209,202,539,502,461,220,623,383,132,
157,019,372,236,243,462,543,829,895,573,300,875,312,370,811,122,337,403,764,
487,986,912,163,470,648,750,419,745,475,216,709,891,494,534,593,281,231,772,
644,228,350,744,849,721,116,001,297,034,448,150,172,459,913,715,124,955,334,
368,930,620,817,148,525,773,154,826,466,951,925,261,016,107,767,660,879,248,
655,567,562,463,455,067,366,510,235,839,688,643,881,808,549,564,875,504,027,
353,881,832,299,850,535,487,076,203,085,510,080,686,141,143,078,500,335,727,
939,911,782,206,719,430,236,471,660,649,783,304,166,002,414,025,193,861,120,
286,069,745,488,269,704,390,830,292,292,382,557,994,117,987,649,522,880,622,
623,681,601,049,830,865,804,832,066,563,692,238,203,182,376,223,981,196,034,
299,394,438,698,375,460,967,275,421,823,851,752,259,810,461,862,515,380,915,
706,567,734,842,426,327,531,216,856,587,068,392,881,034,323,703,859,987,173,
727,289,154,373,808,677,134,632,615,195,424,296,217,667,594,289,263,833,932,
008,247,329,809,162,400,746,299,391,051,175,732,311,355,955,286,391,630,603,
533,996,793,741,660,407,472,783,841,095,818,440,871,714,044,661,621,330,349,
533,107,021,408,281,360,158,637,081,804,198,016,784,862,768,135,649,340,741,
715,878,918,760,162,854,750,964,923,289,710,035,058,116,793,799,791,365,119,
581,010,984,144,036,030,892,987,682,525,386,336,749,483,041,642,964,296,299,
354,090,957,974,804,778,712,885,872,606,870,351,053,316,232,877,013,412,037,
806,945,577,793,886,135,119,025,284,821,106,330,250,880,467,596,828,130,059,
813,190,756,940,609,857,069,419,793,253,567,782,397,629,860,068,543,148,796,
750,848,576,659,097,709,333,212,560,005,822,834,639,153,796,484,556,386,429,
177,118,515,230,688,845,715,615,769,797,627,448,557,587,484,022,686,424,266,
790,067,205,742,641,333,856,336,944,954,251,112,790,703,248,345,356,948,185,
839,925,378,588,976,028,388,862,543,154,343,504,133,180,213,495,489,884,797,
340,953,966,697,716,468,989,245,371,426,475,740,639,033,038,619,011,626,201,
325,669,449,623,305,586,654,606,815,462,220,673,739,501,633,171,422,580,540,
876,931,650,713,189,274,495,639,206,654,407,881,383,602,625,684,144,169,458,
209,412,075,655,902,958,983,848,859,993,744,621,614,826,525,424,799,104,174,
264,707,345,650,965,118,544,646,277,384,183,373,779,711,540,167,011,607,108,
043,829,329,827,925,793,421,893,588,985,866,790,744,884,519,815,329,878,965,
001,206,516,729,783,701,114,171,320,568,749,364,266,157,451,065,996,621,456,
300,147,248,242,817,857,047,622,822,130,093,622,021,280,486,303,220,094,104,
520,643,590,991,468,912,078,530,243,718,706,949,234,921,508,790,047,584,433,
982,665,853,708,508,362,169,241,666,125,609,376,446,561,541,857,222,783,637,
622,327,477,935,124,207,214,710,257,593,661,585,568,918,032,205,611,647,221,
357,507,632,324,993,118,228,241,059,202,372,870,222,648,656,605,290,683,171,
834,112,157,577,364,533,291,573,387,966,505,991,724,638,809,301,741,172,298,
569,484,497,235,893,999,455,357,080,630,063,384,176,409,788,765,430,215,688,
694,104,206,423,579,155,407,695,376,808,706,428,529,060,010,894,597,575,418,
974,789,449,725,899,443,177,082,399,354,323,264,137,986,562,599,771,386,253,
287,943,263,397,276,501,013,548,570,153,360,094,422,602,896,081,701,954,130,
891,375,594,878,088,609,397,265,457,360,602,306,675,503,442,459,640,114,266,
363,634,102,192,188,009,975,470,175,095,116,197,617,392,453,501,104,343,697,
204,171,017,369,367,835,885,812,266,702,916,627,846,808,726,351,403,317,845,
469,045,653,373,370,793,779,392,192,146,114,363,544,665,882,897,011,517,051,
482,809,293,625,294,209,603,658,372,665,348,701,388,529,071,479,395,302,074,
291,805,292,183,361,682,856,943,013,074,910,031,157,018,138,552,608,990,640,
412,277,979,083,748,339,384,071,139,325,446,388,603,747,236,861,667,100,445,
092,729,901,265,871,748,328,368,346,612,690,467,477,060,992,086,105,674,579,
591,629,453,676,108,419,139,579,365,454,793,301,929,526,146,098,509,498,180,
868,873,416,033,959,996,785,514,778,979,955,270,093,447,378,545,585,475,639,
783,806,166,854,021,378,015,303,690,018,127,733,051,743,528,439,198,200,738,
216,572,322,047,535,330,160,556,492,273,536,131,881,283,521,529,677,301,515,
590,839,536,433,500,392,530,006,576,379,892,578,926,530,760,346,849,721,292,
020,518,795,207,830,769,421,830,285,527,535,245,641,581,346,388,873,120,400,
502,731,337,761,481,226,571,410,141,703,825,321,930,987,842,615,478,391,127,
522,129,499,320,614,047,911,378,078,123,011,728,350,900,719,273,611,426,928,
642,132,049,309,347,044,802,659,581,357,028,383,285,178,874,016,941,006,144,
328,303,731,648,425,702,091,853,972,221,245,652,952,327,853,686,714,459,646,
817,355,517,429,098,149,523,674,032,922,369,938,517,963,859,864,294,803,105,
767,469,480,484,395,167,069,651,740,732,272,008,100,424,945,516,935,841,134,
411,979,457,386,022,063,408,218,000,193,512,806,593,915,981,597,767,400,723,
700,427,845,718,090,863,151,281,046,441,364,333,753,181,541,455,696,359,951,
374,820,165,965,172,477,799,672,099,376,744,522,261,248,076,873,632,989,979,
519,525,701,805,161,757,378,523,302,791,020,487,767,993,617,515,781,847,360,
251,068,521,541,869,277,282,393,155,416,342,947,586,668,684,199,641,969,230,
794,037,229,725,082,301,389,617,170,419,598,295,600,446,579,125,459,260,915,
059,507,273,382,926,353,467,445,422,621,137,755,428,952,359,646,283,553,628,
231,097,109,711,674,027,267,168,720,310,942,462,522,531,282,561,282,877,682,
747,317,690,564,186,839,858,604,598,713,096,534,675,560,840,529,980,194,326,
571,083,661,131,145,081,653,644,024,402,650,139,690,455,928,201,366,484,537,
465,173,618,230,055,955,247,090,546,419,577,898,944,066,115,999,553,930,125,
225,044,679,987,455,074,031,215,721,538,912,530,795,229,012,553,430,629,925,
797,377,805,374,438,879,826,566,968,616,288,326,689,931,022,702,558,985,559,
319,637,894,136,420,714,091,876,278,371,378,845,269,721,118,789,798,583,513,
850,527,121,146,874,418,826,921,503,567,559,988,452,693,007,597,816,438,454,
035,424,020,018,848,483,812,510,837,684,946,914,001,030,151,332,021,665,969,
371,560,682,416,204,706,286,363,719,931,024,130,376,267,256,887,281,854,532,
579,300,975,755,566,583,847,913,183,448,691,784,840,451,981,983,039,940,563,
195,248,352,796,940,984,688,899,972,389,691,747,126,516,167,034,318,241,977,
444,796,504,215,308,793,667,384,438,886,802,814,734,196,267,869,448,968,329,
811,346,466,103,655,061,530,065,256,448,687,341,195,249,855,302,862,156,939,
187,027,058,240,236,512,143,171,133,348,562,583,068,717,336,625,303,360,675,
663,711,310,113,407,909,128,147,567,042,414,561,437,931,753,549,015,026,207,
534,474,128,385,055,678,384,271,242,832,026,196,326,682,215,639,549,573,002,
530,862,193,246,954,835,396,700,764,528,924,619,377,419,328,673,771,046,381,
106,516,251,024,480,617,507,119,732,068,087,913,462,684,656,520,358,755,092,
410,698,103,711,736,428,433,749,525,368,222,953,103,469,686,129,105,250,456,
941,627,745,675,703,520,902,828,674,723,177,432,645,978,455,473,934,129,085,
804,373,142,021,109,533,760,911,915,789,428,960,753,728,944,205,232,632,470,
434,569,662,789,960,114,798,854,513,261,200,299,970,415,120,926,935,384,252,
458,628,400,013,667,344,418,912,413,400,008,284,040,941,909,526,190,935,956,
129,569,854,142,670,768,338,034,242,207,851,445,038,367,770,228,202,303,065,
436,635,426,213,786,356,218,112,278,609,364,338,638,857,412,430,109,047,106,
399,023,280,676,918,733,703,476,785,714,321,996,746,759,320,919,948,044,385,
730,284,784,716,172,202,842,973,858,283,874,822,401,183,868,368,679,818,378,
888,087,342,801,913,040,756,177,701,269,745,578,077,573,654,603,837,164,257,
540,003,469,710,934,391,632,406,554,361,434,237,361,202,370,579,735,152,844,
687,744,636,555,994,100,145,175,602,154,582,529,875,396,840,814,694,994,873,
295,024,997,601,615,655,612,516,894,941,731,427,810,511,696,834,147,391,155,
199,898,895,966,515,242,192,752,910,829,387,730,557,975,122,741,034,080,811,
961,060,878,571,485,683,766,219,635,525,236,827,437,880,987,310,241,598,809,
992,877,211,765,938,247,215,069,146,296,093,249,156,431,805,245,892,374,335,
913,662,308,762,413,920,042,658,752,076,681,254,713,014,895,793,702,739,622,
361,760,365,830,950,132,450,107,495,759,224,229,010,819,470,657,364,222,585,
242,538,190,733,792,178,581,917,473,863,802,145,972,650,776,928,942,868,628,
256,594,742,047,696,927,088,095,239,167,799,322,440,203,129,951,743,726,718,
057,690,748,210,457,848,007,818,810,128,762,709,229,538,401,014,604,709,703,
017,472,132,431,923,414,560,358,132,784,556,291,688,598,657,678,485,302,411,
178,101,706,041,096,130,398,927,091,310,598,400,530,160,436,006,546,972,905,
006,773,094,708,141,849,861,107,665,229,618,798,945,955,875,805,740,793,978,
083,983,844,567,603,662,893,906,794,601,897,181,081,884,358,773,687,437,920,
627,620,418,551,894,513,251,432,190,374,371,289,096,533,484,827,372,645,693,
272,277,430,826,674,496,926,559,322,160,183,956,580,068,937,765,642,123,404,
379,466,050,823,250,688,915,377,837,034,078,140,714,847,866,274,481,357,210,
647,729,022,016,280,757,579,291,326,802,514,614,478,539,510,696,537,663,790,
671,918,950,319,679,096,787,566,271,608,725,388,205,946,821,642,700,165,885,
174,656,913,164,788,464,413,313,091,467,122,258,465,194,121,885,777,970,091,
555,019,148,476,194,030,734,010,713,485,442,338,303,128,270,626,245,679,439,
937,317,775,829,155,675,244,638,734,132,527,637,383,996,583,698,021,862,470,
487,115,593,929,861,587,519,987,987,547,076,533,413,079,869,584,233,629,749,
397,324,198,972,760,991,461,237,059,536,561,356,547,238,480,293,799,387,617,
215,821,484,869,566,596,640,970,663,850,369,743,877,558,884,878,422,463,790,
453,989,146,635,080,530,811,067,284,080,596,096,136,752,054,453,053,694,547,
959,015,927,411,775,549,034,673,444,990,698,612,960,986,276,301,806,772,507,
839,218,515,510,174,173,086,204,352,874,079,610,597,601,273,772,591,321,669,
601,159,041,128,237,774,554,418,585,175,544,522,962,078,200,312,542,848,643,
460,047,435,129,315,471,004,136,471,893,427,381,398,589,487,812,831,994,077,
849,072,001,881,963,854,467,534,309,137,048,110,519,169,593,739,826,062,536,
644,610,162,416,450,255,489,986,148,100,186,181,755,904,231,553,212,742,975,
919,573,969,833,182,058,981,638,874,847,562,737,989,058,330,067,905,196,689,
804,317,705,198,177,894,942,953,515,530,857,727,440,361,609,439,538,851,451,
707,530,745,777,211,908,359,578,979,254,325,893,433,596,196,448,150,847,625,
043,357,000,927,585,684,436,086,252,635,376,268,734,189,595,398,784,119,726,
621,230,694,694,093,609,689,905,041,919,538,070,346,827,939,821,256,113,630,
277,824,863,921,437,001,099,373,529,028,304,683,651,034,317,146,526,999,578,
229,488,574,958,623,593,342,919,100,198,179,292,866,812,928,387,550,762,236,
187,244,424,972,221,881,622,976,872,596,619,133,171,301,764,731,815,034,827,
019,718,949,069,515,343,488,486,255,357,252,440,980,818,147,743,065,971,417,
793,489,006,744,154,630,606,492,023,028,617,245,216,766,108,047,459,950,834,
305,567,682,100,857,829,181,449,656,124,712,075,044,567,707,361,898,910,885,
546,820,916,119,838,807,560,941,525,885,823,203,111,392,305,105,262,010,020,
444,501,559,043,206,368,675,666,156,239,265,359,108,735,031,146,681,578,020,
297,015,566,536,839,587,966,868,017,990,704,116,446,067,796,499,481,212,054,
468,188,017,413,352,156,969,865,390,580,813,208,443,140,259,199,082,678,770,
308,431,193,914,916,145,288,520,123,686,295,063,941,427,452,103,464,612,468,
947,256,423,562,287,753,334,845,338,616,960,798,855,355,727,047,193,636,790,
344,660,785,642,081,472,700,578,487,376,682,127,586,552,548,423,565,903,506,
632,977,406,645,162,880,939,854,550,153,641,127,664,148,889,509,362,520,869,
631,028,651,027,526,013,343,687,108,720,244,152,715,113,868,536,223,948,183,
448,666,002,646,511,853,019,353,451,144,385,700,713,999,844,319,526,986,109,
870,153,648,518,185,689,892,384,249,997,348,003,566,879,314,563,065,868,752,
226,578,887,830,458,300,547,770,062,557,441,353,244,406,358,371,427,576,405,
492,226,169,285,855,742,653,632,616,344,336,106,939,255,505,467,019,481,345,
452,957,754,535,977,972,008,052,306,012,227,543,618,084,388,091,151,422,897,
183,363,932,191,256,690,595,345,559,668,696,330,144,886,473,175,034,795,622,
563,250,726,673,786,536,743,704,963,430,033,887,380,669,498,147,440,794,311,
559,196,855,888,348,934,655,027,572,269,110,351,324,462,306,200,895,143,712,
633,069,744,298,738,050,237,664,516,859,027,635,886,740,394,145,479,247,584,
795,013,931,754,223,628,221,302,093,668,679,892,684,820,544,336,507,192,066,
406,716,030,992,008,064,837,423,935,596,164,810,845,167,788,983,314,480,966,
216,306,780,297,495,333,044,080,507,948,932,820,477,850,862,339,704,944,099,
474,361,833,784,108,728,913,400,718,137,572,953,149,338,477,792,213,623,378,
723,835,320,121,375,902,282,595,024,883,449,311,306,047,007,354,215,149,862,
304,066,509,424,341,179,444,684,812,979,508,778,563,508,620,971,217,898,047,
741,956,285,137,265,398,723,391,562,044,220,284,896,242,149,559,272,651,580,
997,573,824,479,028,048,031,409,616,563,169,488,660,001,096,766,913,850,058,
027,001,207,363,000,992,295,997,414,674,520,387,200,064,630,783,994,746,620,
899,033,999,338,468,722,072,837,489,446,822,998,360,967,798,300,828,484,857,
552,116,965,555,612,774,044,212,378,223,047,148,878,412,680,678,972,075,490,
301,855,322,868,573,230,624,040,421,076,658,523,229,615,794,471,898,113,564,
829,440,558,464,648,262,798,595,541,926,286,651,562,957,053,077,356,572,865,
579,092,063,102,289,800,587,596,549,742,765,408,879,454,605,513,861,013,111,
745,161,700,596,493,070,888,744,072,497,617,309,111,033,652,052,490,392,530,
153,681,205,124,173,734,557,148,199,174,446,232,681,118,713,119,641,702,490,
925,232,152,378,200,590,597,501,072,409,079,636,187,016,441,176,953,688,318,
523,430,497,830,285,675,722,573,048,424,718,754,709,081,533,335,530,407,459,
885,297,857,062,668,351,470,315,510,910,936,360,154,415,001,804,164,040,407,
538,005,645,391,982,186,496,652,324,990,023,676,667,966,006,913,707,483,447,
605,504,853,035,088,843,043,501,605,551,966,933,456,346,652,596,199,263,750,
308,709,827,385,079,182,629,906,130,873,159,002,184,853,878,513,053,498,197,
889,481,726,059,993,470,989,556,486,492,027,083,117,981,382,772,020,706,211,
988,243,928,513,353,687,058,155,687,553,436,551,418,318,595,546,162,503,056,
011,077,067,288,291,709,847,517,275,669,343,536,348,900,084,749,663,733,646,
758,150,718,874,926,084,257,947,719,983,294,204,874,898,154,871,718,975,208,
356,023,927,143,408,723,478,751,166,521,490,403,901,863,322,877,058,952,147,
310,662,001,116,377,017,656,662,944,341,025,372,060,987,039,192,472,950,287,
739,506,674,326,382,302,340,544,166,438,656,776,493,015,074,910,758,075,827,
553,742,471,326,252,882,557,471,044,031,348,644,968,827,242,882,462,092,856,
041,427,882,348,192,535,444,586,608,046,513,060,177,439,055,461,183,240,644,
330,177,957,012,167,893,639,784,844,372,516,308,529,023,798,761,906,183,537,
742,216,525,625,140,897,976,761,396,580,080,141,683,672,283,682,855,680,765,
817,776,206,246,148,907,144,853,711,632,070,863,412,974,660,675,458,934,804,
582,437,729,856,355,621,950,625,040,253,667,647,620,643,632,209,863,611,869,
535,439,239,216,687,309,944,532,256,523,942,290,902,792,450,712,146,387,531,
698,760,493,366,414,581,440,739,161,583,700,539,274,465,024,151,362,061,191,
490,527,361,706,527,399,749,064,346,699,470,016,458,969,271,387,838,912,001,
474,387,897,094,474,663,611,699,844,764,833,222,045,458,048,630,416,240,288,
606,902,483,940,651,297,778,209,717,923,115,548,061,849,954,389,609,584,318,
921,863,165,635,474,796,121,785,801,847,670,414,458,088,992,911,176,248,371,
678,562,664,743,168,619,798,367,831,317,258,376,962,010,712,940,606,985,410,
395,820,107,109,294,683,291,400,143,296,819,288,474,279,105,246,136,868,693,
441,638,383,276,281,564,878,543,834,420,829,056,976,754,715,347,150,268,258,
303,809,410,964,600,458,108,113,170,778,941,759,529,505,638,943,852,711,227,
342,133,915,293,429,868,663,635,985,393,854,828,576,953,857,047,667,193,436,
500,013,463,154,338,035,039,773,384,524,638,737,482,783,906,454,303,165,811,
368,478,548,207,110,857,363,076,045,694,513,483,522,014,744,282,346,038,334,
049,615,463,427,361,541,859,791,010,545,995,097,409,473,821,600,081,981,874,
417,948,158,044,169,572,896,514,227,133,675,817,395,567,189,863,453,123,857,
569,725,287,447,917,248,812,254,191,017,631,088,922,360,943,380,828,470,039,
683,107,373,516,216,827,030,359,697,875,246,072,974,678,363,637,813,181,059,
879,731,370,090,190,429,488,652,634,428,927,075,153,438,079,117,076,306,371,
358,692,615,544,461,788,629,680,576,606,458,683,481,853,544,588,660,764,868,
468,395,492,464,402,872,421,960,136,459,700,658,638,179,177,001,011,645,988,
317,283,874,178,066,708,856,226,642,390,035,186,830,444,624,497,066,359,574,
619,568,334,530,587,710,708,544,443,601,739,437,206,568,660,468,445,068,996,
981,067,414,750,705,445,619,177,121,719,495,033,273,620,999,062,606,898,563,
747,184,814,169,904,854,954,358,879,436,828,793,065,145,792,003,418,537,407,
959,251,370,022,193,082,938,063,887,854,354,071,836,258,411,443,800,731,274,
786,271,719,363,777,763,744,978,795,674,674,201,815,257,872,899,474,285,633,
613,352,031,665,926,445,522,414,042,776,622,073,949,016,210,790,772,591,895,
302,543,039,261,922,264,801,683,110,956,026,382,334,709,155,899,890,119,670,
450,404,244,085,543,054,620,817,202,567,327,082,201,917,790,615,530,936,624,
533,271,927,240,162,753,279,644,251,425,918,051,505,747,968,528,830,702,802,
761,843,950,330,326,135,954,266,339,970,631,394,185,140,727,503,718,532,640,
161,793,252,495,141,044,158,915,540,164,354,395,651,050,032,740,280,223,989,
053,775,302,602,826,725,372,607,697,067,677,865,242,170,821,684,342,905,846,
796,682,538,514,602,865,067,390,256,367,749,042,714,467,247,887,010,816,969,
021,952,611,831,019,421,580,215,382,392,275,880,505,292,684,286,552,646,610,
134,807,919,180,234,575,027,742,676,332,567,077,611,034,378,745,219,984,444,
010,810,977,448,167,093,521,008,874,796,074,453,242,345,033,379,148,183,028,
036,795,231,709,348,975,817,727,851,181,264,233,219,743,325,685,716,523,006,
672,298,783,655,911,026,176,494,135,823,903,234,604,405,257,530,558,240,386,
083,075,391,531,011,673,403,841,397,369,440,135,312,608,800,913,728,276,375,
488,909,211,488,581,182,960,701,769,231,513,563,964,046,708,549,771,036,008,
463,419,824,973,774,902,397,658,451,324,974,409,077,593,905,690,810,796,114,
893,779,556,470,398,353,961,712,082,711,716,258,778,704,514,601,084,229,701,
523,363,311,888,097,147,894,621,302,541,116,229,575,303,658,517,058,311,821,
681,653,403,005,061,064,605,448,317,424,959,262,384,730,748,156,384,971,174,
673,948,624,284,397,428,696,861,619,321,033,764,451,047,584,721,619,266,002,
009,325,531,541,199,524,001,970,691,720,246,654,344,795,076,220,012,144,470,
939,051,927,274,356,179,196,804,752,494,730,341,512,203,607,658,144,623,739,
641,313,107,130,141,313,473,196,613,930,258,085,384,058,686,355,962,205,051,
785,883,191,585,083,783,475,295,793,556,447,438,357,682,895,432,117,261,660,
554,391,616,119,084,415,636,982,363,512,967,868,249,618,876,024,931,676,295,
490,861,360,057,799,582,469,203,018,723,996,416,360,198,879,772,829,274,114,
858,097,914,848,631,067,712,940,409,275,596,630,496,615,073,691,855,167,444,
321,639,062,762,003,674,922,401,144,024,787,048,967,141,332,100,886,908,641,
058,717,053,329,689,457,758,522,571,412,885,439,675,202,313,307,857,321,640,
468,215,716,775,939,508,051,289,970,231,989,892,009,935,163,517,063,124,212,
439,609,059,449,170,150,332,790,811,843,277,361,928,461,170,663,301,024,147,
839,693,623,616,071,468,733,372,765,300,668,607,915,817,220,866,134,237,814,
477,979,823,115,973,086,887,532,202,972,683,030,651,912,412,027,143,678,323,
554,368,518,769,838,402,507,849,010,805,167,586,531,562,465,418,983,223,036,
598,846,628,868,450,745,335,555,147,434,296,884,644,230,785,432,809,863,992,
037,667,034,020,025,011,697,184,960,711,777,270,728,563,954,583,287,352,659,
479,268,031,876,616,597,216,762,311,015,999,797,444,824,587,132,003,997,301,
174,461,555,193,634,747,871,536,072,298,112,134,745,966,400,828,469,310,162,
884,308,402,658,678,916,550,200,674,350,181,142,090,350,417,020,844,440,914,
841,147,042,564,956,031,854,837,612,258,019,731,477,064,222,975,870,421,500,
778,355,384,669,281,949,598,360,066,510,507,545,907,873,282,080,616,296,813,
101,779,786,505,369,620,274,064,280,813,987,357,513,848,637,492,222,913,567,
490,782,960,074,695,167,408,504,429,731,317,639,383,761,860,790,784,597,276,
935,662,262,573,827,484,036,087,219,562,366,261,038,403,237,682,127,564,136,
979,854,559,201,857,161,730,019,270,465,063,680,916,565,598,905,830,439,358,
058,983,759,459,946,568,498,941,695,783,802,099,182,162,674,873,407,406,403,
693,153,039,227,356,601,994,409,313,516,533,406,720,806,094,266,612,541,821,
204,243,825,358,901,096,594,659,399,366,552,312,287,776,387,460,827,267,001,
097,504,502,660,986,654,245,831,681,685,438,988,537,294,159,248,316,413,083,
416,483,905,622,635,591,614,158,247,350,654,952,978,685,158,232,318,955,239,
269,673,456,800,423,871,298,961,808,311,836,234,997,343,383,833,102,691,346,
607,745,230,691,615,909,048,901,913,268,712,652,592,151,608,107,929,491,449,
608,303,565,871,328,624,124,124,086,565,209,357,573,547,756,434,949,710,399,
458,759,225,716,901,336,398,786,292,468,707,305,469,971,436,392,416,715,014,
377,450,133,228,377,904,479,296,397,389,721,996,010,370,608,165,931,777,325,
086,509,029,060,783,913,589,742,212,968,226,253,986,199,688,997,164,098,074,
142,558,165,557,414,255,821,015,951,053,079,623,123,074,253,928,436,289,424,
376,454,769,927,466,070,171,463,796,440,391,525,119,590,337,431,844,321,741,
047,071,059,676,753,019,452,789,308,133,878,262,627,749,056,808,763,793,876,
732,734,726,683,694,483,783,008,531,367,417,353,464,336,050,462,076,082,633,
495,664,735,132,740,965,402,744,422,907,736,802,954,582,980,903,205,271,261,
513,141,335,982,884,149,575,048,186,942,754,062,369,762,672,448,923,853,961,
091,983,588,882,554,985,054,634,412,454,166,435,059,521,710,754,596,064,032,
568,983,397,978,350,069,622,988,082,834,865,994,624,772,218,251,585,180,942,
062,467,025,076,052,840,939,482,029,847,290,903,403,085,914,074,987,911,962,
957,743,440,059,254,836,287,519,833,849,941,986,681,909,506,089,432,208,805,
389,412,702,329,986,975,158,360,459,893,979,786,361,381,501,243,430,208,010,
503,212,367,730,692,428,750,534,820,702,403,400,534,936,113,264,813,096,265,
199,721,585,874,904,358,001,844,437,490,270,646,727,125,247,715,176,255,846,
536,803,175,723,803,416,809,165,827,431,912,847,155,108,005,224,559,239,769,
685,121,622,582,621,627,173,549,737,172,715,711,560,262,427,597,844,966,236,
436,213,288,602,914,373,614,284,007,496,825,164,652,904,424,229,615,534,187,
836,207,850,467,498,498,687,806,040,410,963,104,053,099,721,627,557,770,542,
289,174,536,569,830,177,691,421,432,581,584,574,389,545,608,693,578,210,061,
995,326,393,172,596,571,313,801,864,492,482,176,970,639,290,770,001,856,253,
620,092,162,886,699,944,014,850,059,274,208,780,174,100,756,453,559,373,412,
463,829,128,652,856,515,932,050,916,603,849,011,914,908,834,608,036,739,522,
384,714,421,272,327,535,771,306,493,879,501,815,152,557,269,293,590,961,310,
266,392,841,900,919,643,314,088,875,373,506,932,855,563,176,094,596,494,925,
918,089,323,158,365,866,347,434,822,607,142,088,233,197,613,899,516,157,637,
656,309,546,702,403,325,044,190,959,099,412,342,529,774,864,260,894,634,750,
887,304,772,652,577,273,545,387,293,799,681,561,040,922,522,795,825,555,063,
945,753,265,266,714,360,378,802,109,060,119,041,504,266,234,110,788,885,289,
826,046,431,673,516,648,960,273,123,043,698,171,230,299,481,800,638,385,401,
531,593,949,127,909,396,428,477,948,928,382,471,701,343,732,878,531,578,415,
858,055,164,862,386,528,255,399,711,536,346,975,326,536,371,561,257,142,504,
131,901,477,673,605,982,148,660,536,530,861,111,826,094,736,141,808,341,545,
307,538,086,862,164,014,850,284,589,599,916,790,857,411,174,537,345,974,076,
309,931,345,084,429,287,101,826,548,044,046,729,313,046,161,417,481,668,346,
655,501,030,444,952,112,822,573,453,468,459,154,978,234,421,896,201,471,894,
439,126,467,045,605,485,188,057,058,279,666,532,348,365,553,481,305,653,999,
510,389,516,364,112,028,468,789,446,725,050,255,902,249,326,627,146,791,885,
489,262,564,690,390,421,015,586,106,783,764,540,785,858,132,291,481,002,961,
744,941,399,760,850,210,130,184,266,226,329,758,036,864,554,929,047,605,923,
319,466,699,643,642,716,720,085,853,810,896,189,040,161,083,849,429,797,783,
040,416,677,169,010,642,048,113,462,167,212,013,676,344,595,626,431,028,850,
370,749,804,746,595,904,080,346,275,662,590,896,704,428,377,123,963,318,806,
747,798,353,446,396,668,727,527,922,107,796,344,130,010,136,442,201,207,027,
643,334,798,175,337,499,297,576,807,520,311,913,262,484,060,526,176,703,990,
430,753,519,203,427,845,629,432,644,342,354,384,837,245,296,113,284,864,498,
034,141,743,009,512,999,845,549,368,663,163,700,948,896,464,800,994,732,298,
220,853,241,598,129,529,594,569,605,497,475,926,858,649,845,151,557,691,014,
839,983,158,176,472,963,018,357,335,531,354,320,929,850,415,074,156,457,138,
878,550,221,189,776,155,364,963,234,644,027,403,656,776,771,681,495,269,313,
102,675,375,545,749,237,307,733,639,387,548,092,221,764,167,291,385,723,059,
713,901,696,601,945,776,051,179,842,968,547,432,670,036,268,476,919,967,810,
403,455,856,134,402,105,679,850,808,637,521,398,309,392,906,183,653,141,510,
732,006,842,878,289,562,592,990,560,239,868,071,111,834,328,008,467,247,293,
278,608,688,854,502,582,920,313,526,409,245,131,803,467,999,176,100,271,715,
604,436,811,063,391,336,965,574,080,396,685,663,542,505,333,453,681,270,377,
483,677,690,719,552,394,872,759,789,941,603,984,872,253,222,240,357,735,177,
475,315,413,575,872,513,029,717,845,394,676,083,042,298,880,767,592,290,782,
069,156,928,759,467,547,853,649,769,413,835,709,085,244,405,868,079,224,223,
388,325,431,873,118,194,251,899,149,124,314,987,460,410,725,802,467,259,824,
607,749,422,710,935,014,150,453,756,568,108,346,427,533,611,048,972,181,461,
334,476,375,200,808,606,465,156,604,737,650,837,929,650,644,668,231,458,999,
081,907,140,680,616,747,408,635,599,640,295,563,194,632,233,682,960,449,121,
398,556,749,329,486,377,238,155,918,566,248,367,585,296,378,527,682,012,870,
875,718,094,858,684,059,076,892,188,860,875,104,043,867,237,824,550,204,257,
749,139,771,147,131,076,712,761,979,015,950,952,102,623,404,667,362,891,694,
966,620,822,979,918,497,243,073,348,365,832,029,785,904,925,458,749,245,024,
338,700,823,493,893,170,895,985,898,341,018,617,573,266,194,698,478,324,638,
887,946,619,363,813,465,594,598,387,227,221,129,591,828,026,761,134,986,365,
337,364,866,712,802,506,862,764,287,582,147,851,493,989,508,621,379,902,921,
601,871,955,585,731,378,174,233,935,646,731,336,952,753,378,097,909,647,049,
773,601,833,587,097,514,304,594,233,909,464,437,716,222,741,635,159,457,633,
544,768,958,319,050,380,782,036,944,093,109,182,160,519,358,217,018,578,217,
369,765,687,018,327,505,722,832,225,069,790,010,129,738,663,770,779,008,419,
427,188,827,816,867,488,564,181,659,467,503,437,698,106,050,090,351,410,268,
927,443,751,378,272,084,210,589,462,487,958,569,554,128,504,238,052,202,561,
513,460,095,256,440,471,961,513,102,680,534,876,279,753,044,591,950,617,367,
591,588,482,931,051,226,895,319,242,222,881,283,054,010,271,858,247,446,914,
051,838,581,572,210,053,750,563,442,566,302,243,253,182,034,121,018,610,297,
256,862,459,495,174,619,944,287,202,238,361,939,502,648,006,640,728,945,977,
542,701,415,516,395,561,293,389,835,035,387,347,826,152,102,728,338,335,034,
666,194,189,963,077,645,417,851,651,734,585,919,925,414,820,473,933,540,245,
884,347,591,898,517,723,402,186,397,427,403,037,688,353,419,262,248,783,423,
369,842,555,604,279,364,491,526,928,950,615,310,045,678,579,620,639,575,756,
188,123,049,845,802,993,970,499,077,315,518,930,540,143,368,344,548,053,631,
421,296,307,889,562,872,243,912,678,408,559,192,783,878,340,974,499,548,007,
892,671,207,141,344,716,891,424,714,892,447,653,592,702,799,771,378,735,115,
958,080,787,450,895,003,884,386,505,595,874,167,875,781,838,316,484,933,382,
242,999,565,415,816,971,108,008,643,405,112,634,746,564,498,121,684,999,592,
549,635,079,281,091,977,474,830,135,409,084,835,352,673,617,036,007,442,199,
588,443,323,367,511,202,334,821,561,137,105,901,752,864,258,830,633,610,746,
750,704,232,839,964,349,576,894,742,338,720,811,804,777,431,760,058,494,751,
760,980,886,296,561,253,411,047,433,515,085,929,857,755,015,101,426,813,318,
847,292,949,301,751,973,211,207,658,169,223,950,553,293,090,678,543,736,967,
939,297,526,345,111,070,620,550,985,485,898,274,753,676,602,151,390,676,908,
977,023,032,486,682,087,130,799,373,940,144,700,876,590,854,124,431,907,102,
648,188,266,569,787,292,538,739,391,900,332,891,080,486,009,466,986,362,105,
746,671,937,837,639,299,250,854,002,739,629,128,867,643,953,584,308,447,550,
624,998,547,479,226,254,938,340,741,156,487,142,607,189,363,778,095,036,689,
948,063,955,698,827,121,655,642,838,196,994,079,881,235,400,404,071,472,105,
270,021,264,060,127,780,622,977,371,413,755,052,604,832,119,613,914,536,574,
150,365,801,497,268,823,053,577,708,590,729,681,776,692,919,716,461,247,765,
444,277,418,704,461,167,105,758,326,758,569,859,764,707,498,752,496,028,149,
893,482,110,972,125,243,342,552,279,970,084,312,456,079,880,751,304,950,928,
832,014,850,911,786,936,284,302,574,371,972,571,286,272,650,271,077,509,776,
029,282,421,601,477,191,578,734,020,901,213,094,955,931,703,459,656,165,979,
425,280,131,171,765,420,271,403,786,105,925,634,472,073,530,352,291,181,309,
950,661,053,101,277,286,986,023,788,832,178,098,604,334,484,522,186,722,998,
489,041,013,317,132,876,793,282,688,140,885,739,336,009,184,445,712,121,232,
947,293,946,054,437,584,457,496,857,266,073,257,001,877,997,970,762,613,743,
193,773,238,183,197,758,916,255,630,377,872,387,465,713,746,786,295,414,679,
927,188,245,547,839,683,412,572,115,563,289,136,250,390,072,353,679,054,296,
562,441,160,533,235,493,815,111,136,832,256,797,002,187,947,987,327,156,005,
999,021,419,592,965,047,325,452,598,247,550,696,889,382,649,628,954,987,786,
391,357,398,736,351,874,413,151,206,243,243,440,426,655,392,705,948,905,582,
690,626,566,673,233,280,724,286,438,930,271,631,664,823,968,918,782,733,128,
098,355,462,175,551,515,909,099,842,719,189,344,851,117,185,540,977,688,649,
790,320,458,796,281,498,787,164,128,398,890,085,433,135,316,129,511,242,319,
150,249,883,367,332,081,745,620,795,128,707,972,779,416,585,301,816,325,219,
654,974,712,136,571,340,000,835,480,467,921,957,519,106,722,474,055,918,048,
032,155,758,096,526,148,027,684,893,408,189,233,316,935,508,060,655,992,167,
650,166,760,074,199,169,629,519,810,119,770,443,704,051,179,472,658,624,071,
888,943,177,522,488,823,146,763,964,958,320,131,688,673,729,947,971,256,554,
307,736,532,340,031,440,789,166,098,592,375,615,188,969,601,237,321,823,533,
616,386,572,363,974,445,907,932,269,188,278,262,318,470,417,320,873,019,652,
222,948,953,835,481,591,034,354,842,106,149,894,252,194,442,377,751,135,950,
505,177,805,673,736,392,431,209,948,068,603,716,325,612,769,602,816,779,760,
514,232,261,353,367,334,715,837,322,771,868,847,334,800,426,174,371,419,069,
814,975,989,309,038,340,591,677,234,482,012,087,780,127,134,061,303,876,563,
494,351,067,493,947,950,915,237,525,895,268,109,523,621,673,915,760,467,581,
626,511,439,885,484,091,522,033,032,671,529,859,831,904,871,046,949,590,938,
000,064,202,829,680,624,335,684,979,500,365,436,512,802,136,879,948,144,342,
020,934,007,701,106,316,111,316,079,280,342,319,060,039,439,930,190,774,380,
391,901,150,485,362,041,725,844,450,039,523,785,951,340,764,268,420,195,877,
442,759,168,734,148,205,948,676,644,560,422,072,860,481,876,211,400,478,408,
728,277,749,626,955,778,678,512,962,889,642,074,630,854,675,884,208,685,100,
050,456,888,627,456,087,089,446,793,909,925,194,081,118,065,002,281,937,868,
802,927,647,718,417,552,013,514,378,454,155,151,431,342,649,964,803,350,262,
913,994,250,597,800,153,596,740,136,140,813,925,191,612,529,160,715,668,283,
623,830,098,442,260,280,962,544,659,116,130,412,269,123,655,801,241,108,700,
725,123,404,553,073,837,817,871,238,404,943,344,204,069,178,383,186,035,074,
585,817,104,354,695,711,231,114,699,805,161,873,082,850,951,576,060,522,228,
609,365,530,393,376,645,248,566,772,087,333,695,629,475,350,647,114,603,492,
522,405,419,280,107,271,975,860,352,586,659,201,694,898,243,025,293,005,705,
839,478,323,449,726,782,765,682,507,422,855,937,526,637,105,251,151,082,910,
257,722,402,879,085,673,909,620,788,902,682,102,611,733,235,764,643,172,909,
734,817,643,887,515,113,498,279,385,468,391,729,852,473,241,162,616,790,740,
961,163,577,516,603,471,410,786,164,975,451,181,380,320,671,998,674,941,637,
129,501,982,559,975,279,035,306,272,930,262,113,846,173,512,227,869,529,778,
572,181,881,617,949,827,323,268,143,035,120,892,451,885,450,988,017,072,359,
632,264,822,368,853,155,959,351,679,377,078,509,531,899,520,622,331,469,825,
744,368,937,009,469,506,049,759,327,972,485,958,900,545,404,303,823,665,378,
531,869,175,112,250,211,012,722,434,945,800,059,145,235,469,370,130,563,791,
162,534,045,937,707,478,917,604,109,783,592,703,362,907,181,375,497,567,710,
989,024,445,655,988,982,990,168,960,898,258,360,755,850,696,590,049,543,863,
639,257,471,256,564,074,987,104,202,339,785,727,502,398,761,808,284,465,279,
403,605,511,347,463,556,755,641,912,306,068,228,364,729,630,681,770,264,099,
461,170,565,918,843,985,195,233,584,421,666,535,733,656,548,206,506,604,625,
376,488,922,325,322,012,695,913,037,208,953,517,015,932,968,015,002,689,491,
324,256,798,201,462,746,508,565,931,710,483,749,049,059,604,030,004,103,542,
159,181,969,191,488,982,941,403,686,845,681,800,599,047,809,543,886,738,581,
194,073,918,760,262,850,412,031,491,781,972,149,529,343,296,734,135,514,477,
456,036,381,704,404,620,148,371,135,776,254,139,493,612,037,448,363,092,376,
160,555,472,356,863,586,722,090,075,987,934,932,081,069,134,400,252,591,693,
053,660,885,652,988,289,082,242,985,459,436,508,233,145,162,532,283,251,131,
611,072,919,770,923,693,690,196,965,344,544,254,047,024,609,168,168,197,749,
606,848,149,574,642,173,868,461,658,237,318,895,541,035,850,423,961,132,002,
038,227,872,343,091,876,044,491,116,238,984,491,667,652,247,740,996,046,354,
825,600,908,051,063,671,183,413,986,113,198,990,662,759,236,406,220,393,400,
012,582,206,527,631,022,689,224,004,470,025,692,735,081,068,928,067,812,397,
573,104,839,453,439,625,576,694,566,414,682,823,658,071,835,278,774,895,271,
967,145,355,515,621,215,234,308,928,269,755,396,175,959,805,081,617,554,044,
245,308,080,014,218,797,033,221,619,962,703,238,011,768,833,001,672,959,705,
532,390,432,393,655,020,863,189,109,019,715,641,472,214,590,501,414,635,213,
427,746,348,308,063,954,420,587,788,640,226,527,984,498,568,389,081,810,424,
385,657,261,178,185,349,310,606,020,567,472,815,944,639,031,983,706,798,153,
329,568,704,268,067,185,104,068,358,442,935,230,800,661,579,120,373,683,503,
296,896,509,815,519,418,042,289,682,670,927,660,527,499,987,493,362,270,070,
810,377,256,920,446,707,869,170,031,266,095,171,496,385,670,398,381,696,391,
336,583,816,379,362,002,474,250,928,610,823,033,253,538,962,030,633,949,179,
535,182,779,241,197,143,165,954,441,999,561,107,461,724,515,414,824,933,335,
931,826,594,317,288,895,903,158,250,244,329,856,633,327,660,632,000,517,341,
363,310,420,103,097,258,059,929,719,915,525,710,361,857,682,007,808,859,285,
979,472,404,193,796,533,091,926,954,279,441,783,376,375,663,604,335,912,831,
997,026,516,081,603,870,600,720,275,409,687,565,313,243,076,283,739,621,140,
318,944,660,864,372,489,809,524,133,500,623,823,724,707,455,686,445,658,361,
791,221,361,698,803,128,654,362,702,740,110,914,507,460,021,093,546,237,448,
531,420,401,854,945,833,886,615,904,245,752,416,256,111,296,646,868,701,927,
508,659,301,619,813,336,275,602,118,708,511,335,660,006,789,246,776,149,243,
114,185,054,324,407,166,658,649,393,127,282,489,473,588,129,368,972,092,424,
770,821,430,701,456,327,437,026,335,510,246,240,513,404,881,103,753,629,616,
645,013,490,994,606,025,357,802,250,427,765,810,366,358,796,862,020,268,100,
955,154,200,293,706,030,455,110,210,734,344,679,845,563,109,757,904,239,607,
461,185,782,082,409,354,304,038,794,152,404,701,678,770,656,220,605,551,155,
433,282,782,080,655,983,085,259,922,637,707,963,504,854,225,891,146,773,538,
004,264,757,553,684,306,344,319,917,457,350,699,326,677,837,116,143,788,034,
069,708,726,886,922,306,991,493,622,654,544,621,010,026,002,240,008,184,698,
571,585,616,397,677,194,041,914,281,778,641,225,121,813,861,839,652,866,303,
942,346,446,359,819,220,888,316,844,777,968,416,752,214,081,917,392,486,346,
385,890,118,828,550,142,402,185,679,630,635,457,626,725,715,093,033,971,761,
686,288,590,682,462,402,651,712,372,001,813,864,672,671,872,058,332,169,793,
161,047,906,136,125,639,512,655,468,070,907,701,465,644,551,486,795,947,506,
345,971,206,070,413,979,618,005,543,017,223,406,830,792,636,364,809,318,411,
532,854,481,482,634,215,993,257,811,825,618,272,557,128,127,059,511,468,156,
828,983,302,420,988,016,688,771,551,578,165,156,745,751,525,551,233,677,262,
064,972,684,519,836,113,175,426,782,838,635,823,991,310,899,890,567,144,342,
908,337,067,844,020,223,024,858,115,799,187,325,193,309,223,527,718,895,249,
031,400,036,196,992,212,275,148,950,058,633,508,731,621,919,483,929,771,481,
187,924,697,582,328,623,227,210,591,660,294,127,998,835,831,246,922,725,994,
843,603,020,422,210,202,491,976,275,247,713,102,791,389,318,695,647,752,851,
685,923,658,886,580,106,060,598,062,793,463,679,991,871,807,352,230,030,627,
314,398,280,731,364,207,257,459,747,834,044,871,135,731,241,477,840,753,251,
064,823,365,778,758,842,306,600,104,149,908,095,074,422,716,313,392,570,447,
202,313,000,602,849,266,342,945,038,620,052,508,503,427,310,105,422,248,245,
564,448,040,600,984,108,113,776,558,352,015,972,599,757,914,650,066,153,435,
042,951,189,094,612,967,060,811,424,264,349,830,986,172,213,698,165,475,108,
153,902,325,383,082,770,273,687,557,921,239,450,345,872,103,908,201,949,172,
420,816,750,858,029,352,210,534,459,272,979,814,325,282,189,771,730,256,021,
067,002,808,016,780,972,259,983,982,360,361,756,255,672,817,566,255,705,997,
947,896,106,053,820,440,140,175,681,130,379,074,409,374,893,942,846,914,598,
183,196,061,725,374,077,069,937,992,762,890,169,860,658,145,990,928,191,661,
020,765,745,591,543,631,385,887,204,273,288,794,370,351,534,022,034,599,324,
771,126,851,425,557,179,736,992,851,668,885,424,099,384,584,617,991,320,616,
802,120,638,208,209,820,431,518,789,382,165,740,113,898,559,397,140,558,142,
821,023,533,044,393,893,658,326,627,354,361,606,356,905,173,371,174,799,041,
501,079,887,020,150,050,335,881,658,898,549,921,690,413,031,122,600,255,682,
519,501,491,857,852,751,400,473,371,219,947,036,581,966,656,200,521,239,858,
615,759,515,441,491,142,677,168,760,741,622,744,514,240,225,934,401,237,266,
202,473,743,894,462,188,334,320,870,522,034,809,281,146,642,943,611,779,373,
886,289,217,893,773,782,516,400,950,913,944,137,159,448,265,152,163,559,420,
369,399,704,939,531,596,743,927,225,957,085,632,013,990,107,311,992,712,387,
006,138,811,608,104,374,146,114,571,048,059,613,590,831,431,080,329,652,851,
582,605,876,672,216,120,843,644,948,378,152,627,545,978,150,793,406,848,478,
920,832,513,826,261,598,963,719,900,679,028,985,294,856,625,417,115,146,810,
395,089,554,021,028,664,237,805,858,025,049,665,258,990,933,838,679,906,954,
114,873,197,117,727,707,216,178,927,824,065,104,096,255,967,596,274,909,887,
871,464,883,937,494,194,762,759,078,897,691,016,615,256,398,012,296,179,404,
414,855,189,117,584,909,560,429,215,234,907,283,297,794,987,883,383,860,090,
283,276,764,409,572,044,934,547,086,202,388,300,630,050,913,269,770,696,398,
966,127,647,641,420,642,108,396,991,209,380,729,805,884,105,206,918,833,932,
272,159,823,686,499,678,095,299,845,195,374,088,519,216,921,935,579,676,182,
421,784,810,386,198,598,307,815,053,586,661,299,209,520,662,579,493,272,348,
991,893,705,631,649,526,347,547,639,197,616,858,783,907,519,174,959,219,196,
439,724,417,660,417,495,380,109,126,238,842,263,984,155,976,099,895,705,925,
517,781,968,052,290,664,036,575,896,326,778,113,062,760,673,799,193,576,108,
854,076,224,060,870,471,352,889,534,947,465,968,728,490,071,554,227,766,818,
620,377,371,916,439,126,305,915,740,019,315,091,540,076,255,933,637,315,851,
261,074,569,017,216,584,749,359,445,617,914,140,148,818,545,031,007,905,150,
996,155,455,091,962,331,973,270,948,320,861,934,080,446,263,846,597,895,664,
625,411,238,147,903,685,254,027,081,229,438,859,924,069,309,720,450,657,327,
630,931,862,615,705,655,302,446,699,052,490,497,583,150,295,008,529,014,630,
331,411,107,399,722,618,321,463,495,302,712,364,584,811,546,393,760,927,863,
323,592,855,441,384,042,867,821,297,899,205,996,891,701,150,094,359,200,834,
639,250,660,581,666,938,602,275,455,561,255,675,424,696,657,514,389,245,115,
329,487,972,138,919,247,395,043,362,400,087,934,713,678,139,897,928,056,751,
179,539,510,990,473,998,994,137,904,258,089,073,336,196,858,927,097,411,064,
588,654,345,759,290,117,323,258,886,329,622,299,134,296,982,571,459,352,160,
437,993,463,149,620,318,838,375,208,725,914,213,799,850,086,911,841,216,196,
731,644,980,538,555,575,459,334,134,294,336,997,989,518,292,992,666,348,587,
594,067,233,882,935,715,682,789,958,150,791,475,196,156,547,424,753,110,858,
182,617,338,996,838,066,642,721,396,178,596,119,614,394,150,906,685,947,863,
894,313,715,936,825,157,181,031,280,126,382,034,156,159,963,034,189,829,451,
221,784,747,417,023,954,181,291,556,616,646,243,775,871,625,318,568,581,957,
703,330,367,492,474,586,533,016,533,794,874,265,333,469,085,663,098,172,400,
589,916,344,276,596,237,877,023,224,875,984,015,282,846,337,439,915,050,662,
673,351,445,113,407,644,113,961,385,459,709,667,259,656,877,497,071,481,181,
500,236,065,360,520,203,484,964,407,300,640,648,476,629,205,594,764,139,913,
332,242,179,345,364,868,818,930,296,464,883,689,962,830,358,812,270,130,713,
821,590,800,700,130,963,770,631,140,076,162,529,555,349,921,367,937,517,314,
087,717,970,445,449,491,517,737,745,138,797,950,383,506,172,275,625,440,596,
940,888,246,602,438,477,239,764,304,687,691,181,585,166,988,626,156,948,976,
868,507,274,625,535,040,444,018,518,712,538,844,576,107,370,749,071,542,336,
987,018,914,909,428,294,283,866,214,934,348,390,950,351,432,142,818,145,107,
021,871,778,388,226,013,291,061,184,650,832,807,081,791,577,488,901,210,045,
706,299,272,595,426,459,806,871,163,003,700,504,398,515,623,791,900,650,647,
323,485,166,891,645,722,541,554,524,515,708,157,954,315,123,889,083,043,069,
845,727,843,915,149,580,888,286,504,310,123,656,901,192,883,906,520,846,373,
814,837,673,947,043,811,215,622,059,214,949,138,063,634,131,735,162,036,078,
510,451,316,957,727,243,824,404,493,014,098,116,653,763,235,403,133,404,896,
652,974,249,569,228,466,669,429,025,369,151,749,867,719,597,684,455,908,653,
581,303,272,557,607,270,431,360,083,547,189,946,443,551,291,210,087,108,621,
515,309,077,116,505,396,008,086,970,436,227,902,042,727,254,546,689,767,331,
579,227,659,402,696,789,604,422,190,858,041,710,802,308,438,245,693,943,471,
958,534,266,335,484,528,645,371,514,653,618,954,909,779,195,939,170,934,424,
541,439,737,582,447,595,631,204,413,464,276,468,881,849,346,841,632,972,804,
243,652,538,203,536,713,396,927,885,905,351,743,293,087,187,968,137,363,576,
279,722,804,025,155,431,067,714,927,478,435,024,204,318,131,745,508,405,315,
917,913,748,941,376,274,254,903,922,121,797,723,837,137,768,018,853,806,051,
671,622,398,318,919,070,822,994,118,428,335,548,717,778,662,449,775,507,520,
722,234,127,092,826,110,704,900,180,193,936,880,213,995,813,386,198,787,898,
493,905,182,637,504,088,201,223,300,967,998,611,938,618,140,100,742,037,718,
205,754,146,889,371,230,232,175,577,443,997,261,026,367,735,315,698,926,886,
260,783,641,190,544,526,625,652,969,943,624,526,995,463,329,330,073,302,569,
704,632,660,292,780,838,499,637,863,611,504,450,338,957,931,433,167,606,396,
797,833,429,181,081,026,855,718,546,238,808,743,250,074,119,884,696,281,824,
806,455,925,518,253,317,235,994,420,233,303,593,538,203,808,981,339,182,828,
627,530,982,625,352,069,072,690,873,309,283,835,303,918,897,771,705,922,743,
032,396,577,975,319,649,325,538,399,145,984,635,920,558,075,359,148,708,486,
618,371,108,274,410,640,499,074,968,542,987,875,474,453,377,668,600,390,685,
931,675,331,390,243,712,255,526,078,103,675,568,498,747,774,308,509,391,314,
407,026,926,393,447,964,512,842,362,411,242,128,500,313,829,900,723,332,807,
899,017,109,657,974,406,733,385,438,728,883,441,220,676,245,214,216,940,170,
787,036,623,727,987,469,681,059,816,513,927,588,856,099,987,567,578,349,083,
776,826,214,683,211,819,002,960,203,942,305,462,650,156,211,990,052,759,043,
235,788,956,650,887,676,421,777,693,436,140,438,648,238,665,437,537,105,874,
168,994,070,619,448,244,061,202,751,271,097,165,394,757,040,151,188,262,942,
214,169,914,617,965,278,978,478,740,014,164,204,695,434,107,561,762,502,676,
457,338,555,752,759,840,733,365,394,602,675,095,214,690,090,547,213,963,149,
658,293,756,916,748,862,338,420,559,439,744,564,668,989,878,504,461,767,945,
202,767,612,126,751,030,659,375,865,470,415,782,576,787,333,031,458,806,209,
397,773,025,678,382,003,077,881,470,936,017,592,494,881,524,223,369,709,749,
649,377,831,349,784,469,411,507,634,537,392,763,189,643,047,312,731,144,941,
634,482,690,399,088,047,442,265,225,359,077,596,844,509,382,662,773,182,120,
552,838,905,997,601,463,204,186,988,690,274,864,246,905,412,767,679,956,699,
148,009,844,391,804,375,599,951,338,565,755,383,509,434,289,315,136,088,992,
207,535,976,500,145,684,891,691,543,277,970,482,202,126,277,656,436,867,912,
627,493,725,809,513,299,314,324,547,725,165,665,976,378,972,888,933,135,011,
546,690,502,473,958,137,513,130,810,912,575,242,445,940,720,588,833,264,593,
795,947,631,663,567,774,419,770,272,728,611,738,375,767,904,562,711,669,064,
479,855,384,380,720,725,816,557,655,214,446,696,054,508,243,058,491,088,537,
577,545,413,118,058,151,021,720,463,710,822,805,601,080,645,834,355,792,048,
093,501,451,364,800,184,278,908,102,950,460,893,429,910,762,415,646,364,335,
460,128,032,321,026,475,826,714,913,355,672,341,873,239,842,599,692,594,984,
538,785,126,269,030,025,660,502,095,202,900,043,989,148,583,330,680,743,427,
652,279,395,064,510,975,738,762,993,839,846,778,493,662,877,934,365,738,630,
352,195,483,622,427,951,333,180,678,514,621,291,606,560,712,618,349,034,184,
647,108,827,239,996,921,541,696,646,625,343,982,494,752,940,415,026,396,428,
635,271,225,006,655,507,534,504,749,574,317,552,905,641,876,720,715,557,697,
455,539,322,417,658,077,048,134,920,503,717,074,061,977,416,182,478,743,245,
662,140,142,705,552,378,716,742,096,255,501,400,072,167,728,420,682,343,126,
536,094,504,812,893,033,811,416,396,326,080,805,435,658,210,609,397,016,137,
947,242,403,864,199,882,055,389,177,205,521,781,357,352,285,230,243,602,110,
507,421,631,467,387,494,697,672,900,541,781,859,130,894,193,284,564,784,136,
791,048,197,569,756,341,656,449,717,293,699,221,132,281,320,151,421,350,345,
484,463,882,879,398,245,978,116,722,172,080,324,407,722,002,589,215,720,906,
226,157,585,310,267,902,121,549,784,133,307,189,438,349,849,565,060,432,477,
475,557,325,986,184,363,282,888,047,689,775,001,206,760,838,450,421,859,005,
027,779,685,020,812,364,515,500,458,367,615,820,624,664,214,406,347,688,948,
824,001,377,046,467,141,582,529,104,991,039,650,191,872,465,290,990,821,645,
316,349,573,740,098,593,869,008,122,543,655,527,392,334,823,946,436,960,951,
219,792,918,764,428,210,587,235,910,147,221,547,771,426,820,719,019,851,406,
266,933,288,883,142,325,386,656,974,921,780,785,013,303,244,223,177,399,133,
714,438,210,041,124,893,326,939,546,333,252,028,839,615,922,082,595,071,362,
940,945,519,388,415,830,072,082,044,913,524,231,121,361,983,878,285,322,036,
348,304,283,057,406,574,610,433,477,913,763,769,288,599,582,486,361,261,032,
228,665,995,729,306,122,950,824,661,683,779,802,332,893,415,261,758,993,210,
917,501,382,699,412,369,072,869,050,100,175,014,700,611,831,705,196,791,223,
714,541,861,238,934,196,507,962,140,397,876,828,126,601,854,128,137,901,937,
385,657,570,340,249,212,823,148,650,803,662,305,920,310,911,925,050,072,821,
202,291,700,075,514,823,277,323,931,014,346,091,512,331,085,401,077,844,083,
693,802,620,108,477,768,717,558,698,112,935,032,100,406,055,574,096,623,132,
322,406,814,308,935,722,055,841,101,425,319,411,833,211,651,301,850,008,990,
484,950,108,193,360,859,341,903,123,332,912,337,776,147,401,342,494,014,417,
679,164,859,069,186,350,566,040,012,193,628,159,356,890,157,143,610,610,530,
672,807,039,974,608,249,805,281,169,751,512,963,069,018,198,079,000,978,704,
561,612,432,854,214,294,745,576,669,869,761,369,102,390,470,828,811,418,450,
425,064,818,680,374,445,929,287,023,814,610,364,498,889,076,977,410,989,401,
777,453,308,456,361,371,417,084,520,468,897,543,161,366,339,727,093,994,752,
138,069,137,095,004,223,061,048,870,648,692,666,755,896,636,858,575,898,964,
532,756,954,817,718,091,609,208,290,168,689,558,459,746,364,151,941,651,987,
871,702,346,917,237,984,759,071,942,368,639,786,738,195,250,149,983,796,276,
086,194,062,574,342,397,783,536,576,694,103,103,732,347,198,296,094,533,828,
083,931,500,235,221,923,158,188,065,376,642,512,166,623,515,930,546,234,020,
896,302,238,332,114,981,230,081,706,865,700,495,074,872,076,977,407,820,269,
972,400,625,180,911,929,230,060,939,452,816,043,319,900,182,885,487,336,381,
808,306,394,061,773,918,504,725,390,422,776,713,363,689,835,185,296,127,341,
140,608,712,964,802,969,744,227,594,746,065,552,176,372,899,039,700,921,183,
148,989,656,002,984,033,209,487,197,642,514,785,545,233,851,916,014,219,801,
288,447,007,420,556,818,481,472,610,387,477,728,070,367,126,615,153,725,152,
743,034,559,526,019,042,081,355,256,891,454,407,027,883,225,373,098,184,574,
084,689,685,598,590,976,290,713,519,912,322,260,764,285,288,468,869,173,223,
605,600,135,615,993,064,584,693,443,108,478,530,418,981,927,596,295,331,912,
108,058,624,607,729,367,669,063,023,555,196,266,553,722,851,699,900,613,140,
161,658,406,620,632,877,546,677,449,475,716,006,458,226,388,068,900,822,177,
204,250,631,377,888,514,490,500,383,986,519,691,434,906,237,081,137,995,170,
444,858,417,144,147,981,564,399,165,291,768,976,605,690,102,525,441,302,039,
500,633,041,694,206,436,030,241,250,881,963,583,834,447,794,068,842,937,446,
521,532,154,781,801,973,096,602,735,874,352,337,305,415,875,973,738,451,641,
488,993,644,584,121,727,612,146,088,602,556,486,588,272,878,528,077,516,304,
246,459,298,730,836,661,250,775,770,690,104,649,807,385,075,228,143,563,414,
080,043,288,339,225,874,550,565,880,392,421,353,760,740,232,961,637,728,609,
684,322,538,103,192,929,163,365,298,763,192,242,146,496,241,107,910,460,284,
343,453,869,299,116,881,983,918,024,411,942,970,193,669,364,489,166,601,684,
998,811,897,886,248,701,803,702,117,813,678,019,615,604,664,397,783,763,979,
052,814,131,013,926,982,909,603,172,075,153,985,389,156,996,108,322,753,699,
777,086,247,030,679,442,396,040,100,903,055,690,011,533,486,362,977,958,206,
121,888,002,356,462,087,317,688,001,387,945,114,786,684,173,439,510,660,552,
570,597,041,869,015,217,521,869,462,490,928,923,520,899,674,374,512,415,692,
462,581,633,848,350,950,332,702,492,509,187,531,763,947,432,672,613,009,921,
229,512,884,586,220,043,113,652,559,991,516,246,319,196,038,725,738,917,611,
763,565,022,776,184,649,273,881,411,162,807,235,143,700,505,385,125,734,662,
688,057,722,661,157,741,820,136,554,663,200,087,913,808,614,241,760,146,762,
275,737,133,879,041,232,228,897,759,166,497,254,750,476,466,382,934,676,929,
287,200,505,856,296,679,580,514,339,090,833,143,577,370,671,118,558,835,764,
389,496,292,735,226,541,026,397,372,900,437,038,808,578,806,004,703,078,773,
297,080,826,440,793,388,360,322,000,248,865,363,367,846,619,765,608,430,979,
157,310,698,694,855,281,920,653,937,975,658,222,715,461,936,836,810,494,024,
840,090,030,546,312,882,664,577,724,214,497,985,185,422,842,370,450,389,658,
119,734,405,047,636,107,838,021,345,060,391,763,445,074,600,999,076,338,450,
393,971,726,951,197,651,752,863,858,888,139,110,768,504,489,107,959,292,459,
354,000,172,781,184,828,357,814,346,684,642,248,661,935,079,022,958,124,066,
446,366,523,359,717,971,252,118,924,453,832,659,230,957,266,733,762,978,911,
003,711,939,294,136,191,139,904,443,717,709,537,789,387,536,673,169,393,310,
286,428,429,609,373,980,018,706,663,624,156,298,895,595,137,494,590,453,152,
320,332,854,120,160,612,298,526,323,983,749,050,023,190,524,811,440,111,316,
102,829,919,198,281,076,305,975,710,408,988,177,961,933,007,437,387,241,474,
291,318,306,359,395,215,320,783,065,152,906,461,318,026,578,292,983,100,663,
553,025,018,877,820,385,474,811,407,555,740,869,883,900,084,797,844,946,163,
834,616,802,119,272,729,698,759,286,202,788,587,252,288,795,097,707,216,266,
848,727,769,896,682,759,107,545,861,570,703,597,296,134,720,827,412,860,039,
614,664,107,347,095,409,309,256,617,229,136,865,508,406,521,930,577,096,316,
242,368,566,529,950,784,348,562,058,444,474,532,250,177,323,116,653,902,546,
990,565,231,473,276,042,954,800,458,864,608,904,911,194,530,533,266,498,076,
742,188,031,997,281,090,665,109,703,458,465,293,176,050,724,847,445,233,431,
693,500,656,578,331,817,033,395,248,041,310,304,662,301,935,871,273,479,162,
119,567,970,697,401,864,116,724,614,511,596,730,947,938,832,560,369,105,914,
237,962,830,869,825,519,684,766,871,800,593,948,428,857,756,855,884,018,705,
020,281,037,026,407,107,031,662,584,728,042,835,405,350,052,618,980,225,169,
328,045,574,685,666,506,366,386,660,183,742,249,015,693,026,437,235,370,706,
088,559,314,419,514,414,706,563,568,433,290,476,457,644,581,456,966,354,368,
816,014,938,104,410,517,899,178,106,418,427,575,919,213,362,294,893,677,937,
198,297,494,572,342,022,807,269,496,223,200,644,631,620,217,433,524,922,500,
828,494,842,300,565,176,560,123,159,907,507,506,119,079,924,974,071,823,958,
265,245,567,357,426,500,264,444,491,147,258,787,895,154,026,599,864,207,615,
577,793,272,071,444,424,714,913,336,966,506,977,031,148,383,739,976,804,532,
615,487,875,111,779,372,175,863,647,311,331,967,103,745,324,501,328,344,009,
274,295,556,203,811,786,143,149,281,380,403,572,904,009,053,030,493,710,177,
293,154,564,103,824,645,446,683,809,773,149,216,805,194,657,110,190,808,533,
443,051,313,961,799,356,829,788,847,991,145,167,844,818,541,040,598,721,896,
772,726,748,759,095,365,444,350,036,305,378,241,904,953,587,442,803,860,690,
184,602,906,331,108,449,138,171,876,038,116,129,311,920,847,422,452,555,115,
250,224,867,558,078,492,026,861,941,468,256,488,385,630,540,121,108,393,324,
333,122,975,523,942,656,750,054,679,380,162,662,258,635,353,664,304,716,530,
133,562,621,195,954,772,440,651,512,956,554,959,783,455,890,450,801,911,905,
478,389,678,567,186,627,774,796,075,181,423,127,280,176,804,420,953,950,197,
598,608,901,413,228,662,937,515,208,177,303,978,184,169,758,209,098,485,862,
476,995,437,361,899,916,912,248,182,388,256,845,220,264,419,549,188,873,155,
877,238,188,776,533,595,250,242,997,123,016,431,380,180,220,103,322,558,684,
501,230,888,222,913,960,197,310,420,030,905,101,649,298,588,113,942,471,670,
649,123,044,297,527,589,232,327,567,984,635,908,176,988,274,772,792,343,341,
727,450,566,100,362,870,369,637,125,571,183,835,750,330,390,096,645,586,060,
077,598,635,180,053,999,929,890,727,228,198,978,945,334,377,548,091,215,904,
952,967,211,635,072,856,582,537,728,829,561,934,440,129,379,320,367,140,330,
535,533,421,182,835,732,972,599,591,470,689,419,316,875,269,063,407,645,470,
006,538,805,835,795,828,374,611,975,145,603,371,231,095,838,498,213,821,299,
770,164,322,183,252,154,641,561,951,025,851,796,672,800,103,261,678,973,269,
596,859,245,509,081,738,482,531,739,765,103,078,994,466,360,926,853,988,739,
690,256,981,848,308,824,971,442,551,446,227,144,561,021,254,150,680,547,719,
615,441,272,081,164,971,392,072,836,848,360,520,751,124,672,523,614,990,828,
274,130,553,631,110,287,681,351,140,851,536,923,987,077,380,941,111,941,339,
690,270,827,775,371,204,649,584,335,747,976,032,631,152,079,588,981,038,557,
960,812,650,524,952,657,828,080,386,536,735,480,517,214,924,130,998,978,489,
807,416,955,320,030,747,726,602,368,501,270,958,986,855,033,078,152,975,545,
869,372,889,454,864,218,689,767,451,147,752,116,528,947,731,258,565,083,090,
551,653,734,005,298,230,757,372,197,168,939,285,754,818,599,914,861,981,950,
985,455,167,141,229,849,437,608,914,374,571,827,083,808,824,977,584,225,387,
432,973,581,257,485,836,251,820,835,137,068,536,956,137,621,023,657,239,482,
632,626,748,554,435,186,676,277,618,877,253,724,728,388,986,339,984,322,540,
772,476,053,656,395,561,774,487,730,783,774,181,027,799,751,234,168,838,567,
413,467,549,161,050,043,877,964,300,480,859,308,931,065,661,380,174,089,410,
037,610,959,958,297,389,579,979,776,478,728,229,623,078,274,057,703,066,861,
180,989,586,621,492,402,019,080,523,394,854,069,706,435,450,941,276,232,724,
996,634,819,108,191,704,407,059,612,130,218,497,607,519,516,026,809,055,900,
173,908,239,571,916,471,993,027,864,594,370,027,686,050,188,568,993,753,109,
806,483,697,129,717,410,880,510,561,139,233,060,670,936,190,740,236,714,376,
902,025,556,615,415,949,566,637,652,001,708,642,335,458,556,757,209,562,874,
277,329,662,574,678,785,820,179,018,503,636,960,744,480,643,192,450,313,845,
060,399,688,884,905,470,755,121,480,695,975,090,723,340,499,707,135,314,504,
319,133,355,525,971,960,751,135,670,342,477,020,312,197,412,808,184,687,561,
857,647,872,486,854,480,323,208,294,617,317,021,019,727,460,247,168,845,990,
025,635,677,050,115,370,040,951,029,334,088,414,306,155,010,425,722,280,412,
676,662,785,585,182,961,505,789,678,532,298,955,386,121,737,097,184,536,587,
919,899,190,371,802,981,585,480,865,678,372,042,347,543,955,713,430,636,930,
221,582,039,279,989,984,547,694,184,821,779,385,769,531,943,249,223,596,535,
685,811,981,488,218,008,862,864,799,343,615,613,283,602,143,869,136,122,650,
718,155,773,806,989,919,714,674,678,940,826,197,272,401,452,854,657,046,566,
843,294,612,946,707,568,856,779,550,550,521,058,833,086,869,601,980,604,904,
196,695,136,978,088,843,100,553,281,582,466,913,404,373,048,358,047,268,542,
140,748,557,733,928,056,303,988,517,965,714,534,017,648,456,946,571,897,452,
372,159,594,203,802,013,583,757,825,812,787,707,635,784,316,432,394,715,338,
821,037,997,216,618,349,628,029,053,968,321,329,531,567,957,038,145,889,542,
255,114,051,520,017,562,323,734,681,560,074,966,816,846,789,379,650,314,667,
229,494,656,355,687,562,164,597,315,612,796,906,755,540,057,502,196,086,551,
242,642,972,499,959,470,579,666,119,937,526,784,657,561,336,025,509,277,163,
417,972,127,600,378,393,956,460,477,020,069,190,089,355,634,690,520,733,016,
519,582,245,071,699,474,335,336,882,858,950,412,680,132,088,352,442,076,331,
053,055,811,176,109,901,521,514,950,175,892,603,568,483,333,476,039,225,064,
142,955,777,231,821,278,221,209,539,009,060,781,465,904,593,930,955,603,172,
922,448,028,983,345,489,074,886,911,974,665,528,092,116,328,444,929,728,037,
964,673,254,824,822,143,043,845,511,274,564,695,726,120,404,359,713,345,051,
254,313,058,462,096,354,559,741,912,678,760,660,071,390,670,033,525,031,384,
934,574,081,838,193,465,864,569,235,374,598,025,003,488,088,097,807,667,215,
730,222,471,935,936,372,930,664,639,820,236,939,673,359,804,078,422,613,744,
888,244,867,188,690,443,912,148,839,170,424,150,449,920,093,693,557,271,829,
938,371,517,413,668,362,729,109,477,637,336,292,910,820,320,188,905,450,298,
111,343,077,624,131,867,859,555,948,890,607,087,137,974,031,724,481,997,098,
039,519,580,453,079,673,937,349,523,958,920,620,405,354,671,392,671,473,421,
859,375,345,566,210,190,619,107,247,385,787,009,526,548,477,194,902,907,679,
495,497,151,470,442,876,315,302,880,980,246,985,035,830,834,395,872,063,419,
578,828,317,965,301,447,826,661,656,329,026,871,538,647,005,626,256,409,076,
042,257,162,638,731,916,182,657,671,477,686,863,331,436,357,788,703,408,043,
742,083,104,297,267,917,699,846,673,809,711,076,284,226,267,145,898,409,778,
154,647,320,903,927,357,351,145,400,274,976,256,621,101,681,297,445,266,740,
190,531,740,922,257,450,287,352,158,058,162,831,271,945,823,140,719,140,485,
653,191,072,328,506,743,200,148,914,541,301,732,045,983,869,809,157,684,135,
606,693,238,008,896,082,374,070,132,819,003,886,506,341,019,046,766,976,645,
594,315,674,605,898,935,258,715,503,484,029,443,482,814,323,713,308,457,809,
161,720,657,906,728,984,184,143,596,094,603,158,367,583,533,525,950,725,775,
989,749,755,036,184,164,153,455,041,205,155,026,005,827,568,945,882,938,585,
797,606,558,949,630,655,539,249,309,182,633,768,574,343,857,981,722,306,661,
607,488,169,663,155,769,308,124,633,774,866,861,560,357,991,963,622,172,762,
560,975,034,592,002,813,404,458,787,369,487,083,773,919,591,573,858,578,672,
010,936,966,279,509,448,276,270,453,875,464,776,614,625,746,510,139,711,198,
756,270,014,648,547,824,989,753,391,603,483,022,765,856,172,018,846,944,720,
196,547,122,121,524,165,423,942,669,994,161,470,299,090,997,117,417,274,725,
298,770,339,923,306,486,838,233,984,218,184,687,024,797,411,255,705,992,986,
334,861,888,943,526,728,599,115,000,366,751,183,362,989,078,095,966,502,875,
817,685,518,445,238,616,583,874,795,095,656,490,330,034,806,134,501,522,471,
777,125,083,624,758,540,318,334,742,231,541,240,803,355,828,824,339,018,942,
392,483,015,088,828,063,970,990,930,333,386,499,324,521,402,916,436,441,236,
756,199,473,491,436,042,689,442,729,856,606,987,835,935,926,575,039,152,416,
070,396,830,473,118,841,838,112,640,983,209,577,155,643,635,838,615,529,734,
588,834,686,165,067,612,664,312,087,696,605,010,710,466,528,854,606,704,581,
121,947,913,138,300,363,500,349,327,983,933,261,934,907,889,440,707,363,179,
728,861,129,826,255,041,776,295,737,593,248,130,735,097,608,691,937,402,967,
856,245,917,963,464,394,601,844,522,033,060,477,465,581,941,294,581,774,675,
215,344,776,756,566,346,894,008,600,223,836,934,273,318,855,517,746,904,349,
816,046,147,193,601,547,690,789,737,660,416,512,596,352,809,358,697,971,101,
124,898,743,945,485,706,417,355,576,227,962,879,143,358,033,189,238,515,561,
436,574,621,741,425,304,119,102,134,040,718,718,819,633,692,542,976,955,412,
678,017,578,775,065,992,064,214,972,018,216,699,845,200,957,629,453,742,629,
253,937,645,292,513,047,180,050,281,776,960,988,533,206,232,507,596,569,988,
059,585,164,917,959,529,511,464,825,401,478,865,860,684,070,385,190,222,656,
325,815,230,587,636,712,247,818,774,183,391,331,087,073,334,431,707,187,393,
755,477,344,999,776,339,856,180,982,010,472,421,197,242,560,798,723,557,774,
530,514,967,194,777,198,860,939,878,954,499,533,859,430,630,546,783,297,840,
906,857,776,946,052,736,708,728,283,425,735,868,871,378,683,054,800,561,011,
500,145,356,258,801,403,190,628,080,334,149,161,146,917,558,697,427,176,967,
746,672,746,522,706,124,731,113,008,451,095,732,213,947,196,479,422,226,410,
064,725,650,674,182,446,302,928,328,643,916,878,761,325,012,176,346,685,967,
781,560,434,009,231,551,714,565,168,180,201,128,126,406,474,519,627,097,905,
886,167,063,404,597,137,963,057,158,709,167,575,831,022,274,476,532,206,154,
148,041,129,832,721,353,176,480,142,264,290,317,931,274,563,366,705,823,647,
943,263,828,109,781,601,923,949,295,027,893,801,704,914,212,299,261,160,713,
001,390,375,948,035,720,998,488,717,152,371,847,778,534,994,914,600,693,579,
392,202,584,429,004,688,408,466,756,942,808,201,973,469,263,130,603,150,559,
390,710,271,693,683,804,632,668,863,551,358,334,447,582,622,208,685,598,351,
722,580,749,899,498,667,025,418,141,096,139,507,211,828,189,837,054,067,918,
132,880,688,905,562,302,705,875,888,761,198,863,883,890,714,041,470,209,571,
010,135,306,201,173,699,889,404,026,578,643,188,077,862,076,877,833,599,339,
324,241,150,487,870,711,823,405,697,421,662,630,326,015,574,396,765,131,170,
010,542,662,405,275,832,760,393,530,065,985,890,382,900,048,038,083,155,104,
332,904,472,822,399,785,568,375,091,189,117,350,481,662,761,681,632,369,056,
641,206,559,538,070,673,599,676,845,039,885,075,522,964,495,160,096,970,678,
610,198,043,448,281,664,844,465,937,007,695,869,899,511,126,241,850,221,828,
134,946,527,608,210,782,808,886,226,439,651,775,532,949,050,592,098,745,706,
500,851,651,880,298,941,314,137,820,906,415,496,734,202,864,543,268,341,268,
644,933,622,000,122,764,545,746,808,491,430,772,535,877,293,484,749,243,186,
884,280,691,344,442,967,815,063,505,844,696,304,821,266,239,982,378,972,989,
187,635,857,254,795,395,455,739,833,489,924,145,850,605,433,925,483,023,095,
741,772,914,775,052,243,842,940,910,732,742,451,660,505,938,634,003,961,414,
469,635,297,144,152,733,197,313,581,961,560,079,738,310,562,882,053,478,053,
310,309,030,342,203,710,646,965,019,017,743,075,030,036,111,006,672,876,860,
026,894,728,236,624,311,803,145,984,167,081,581,571,300,179,000,895,298,958,
347,625,850,322,033,120,474,559,776,370,797,205,242,514,141,643,106,526,416,
081,206,454,638,848,807,212,890,207,303,751,604,927,261,016,620,078,910,370,
369,848,746,294,550,548,691,940,544,268,965,369,409,376,393,331,210,039,538,
532,708,873,987,145,517,626,254,907,536,394,942,641,851,122,041,889,897,808,
522,959,661,971,047,518,515,113,227,319,134,123,846,979,570,890,792,361,015,
198,601,659,232,492,521,652,349,928,425,706,056,634,290,561,529,186,223,154,
043,006,030,440,489,746,842,233,283,903,677,165,756,868,175,156,346,745,180,
688,453,940,019,073,977,306,079,581,344,145,852,667,487,477,609,434,793,324,
835,501,184,891,437,589,848,489,737,904,451,237,019,058,169,286,078,583,380,
295,403,468,499,141,724,786,315,533,950,833,137,019,044,492,110,107,749,017,
649,941,611,315,482,396,270,461,545,976,561,215,874,384,602,510,891,002,847,
370,850,248,230,853,523,374,131,025,385,097,848,230,840,328,173,689,588,737,
544,275,149,218,323,106,365,448,484,245,156,593,736,816,216,590,904,377,394,
507,505,677,988,870,003,869,119,804,629,104,202,124,341,253,486,018,113,492,
155,597,252,155,755,901,171,165,193,924,958,838,547,190,124,393,929,379,484,
869,158,668,850,710,929,102,906,182,960,717,181,354,157,348,846,194,088,900,
779,418,151,295,431,270,396,654,959,180,714,712,566,497,099,631,030,066,833,
332,879,504,990,022,708,659,107,775,124,542,993,592,790,768,495,129,930,177,
021,004,893,476,974,545,729,237,654,523,836,179,393,569,196,038,280,494,456,
069,226,267,602,133,761,548,051,368,872,380,239,346,638,978,671,661,770,123,
017,602,683,614,032,972,341,970,032,520,899,681,002,304,724,042,611,858,258,
595,694,305,144,526,468,904,413,843,304,296,028,128,637,717,832,346,948,035,
872,376,058,419,018,434,061,834,222,468,390,525,745,897,454,801,888,059,723,
794,257,690,135,660,324,754,612,050,323,673,462,173,457,706,401,671,476,529,
599,339,594,827,302,799,341,262,079,462,618,723,215,046,007,734,831,961,172,
270,373,088,157,049,090,655,413,462,071,042,979,963,880,171,840,676,622,695,
234,396,516,463,825,345,940,525,502,090,652,225,068,579,447,155,312,948,051,
624,570,903,695,591,007,293,986,011,532,236,383,215,060,689,506,002,467,821,
197,476,159,225,526,501,096,988,209,742,122,729,490,046,483,542,877,759,171,
488,950,746,515,388,324,750,626,826,905,747,192,861,046,802,164,249,995,780,
663,680,640,663,439,624,839,927,637,948,844,822,447,562,510,702,612,107,193,
528,173,857,892,055,864,515,836,124,552,940,482,882,923,086,449,344,461,970,
747,017,750,104,543,342,792,286,594,074,052,200,951,149,939,744,769,398,839,
604,726,291,488,017,556,033,513,197,342,453,791,685,697,531,523,825,953,751,
968,479,268,920,982,139,437,493,137,409,040,722,496,312,568,877,932,280,147,
633,758,387,559,370,016,168,448,449,533,322,540,713,176,571,798,012,685,215,
710,636,929,141,973,359,836,839,047,193,488,013,606,395,096,289,107,953,497,
850,667,812,459,414,289,068,728,610,134,264,962,846,141,367,747,494,647,480,
123,226,831,142,921,143,848,214,952,275,707,163,154,534,562,509,095,871,222,
582,150,983,115,952,242,159,552,306,157,444,605,527,124,962,115,913,231,577,
347,213,671,038,760,761,430,471,402,836,979,910,546,309,403,131,132,867,320,
682,069,092,390,704,464,321,685,361,932,546,734,812,489,184,616,449,719,424,
499,463,187,963,241,282,739,837,066,588,222,857,209,319,796,346,579,298,902,
294,154,464,405,091,570,256,956,437,331,055,051,858,615,028,929,560,471,099,
207,196,371,238,343,821,038,924,369,595,171,933,792,530,373,787,832,805,231,
858,474,383,279,462,293,022,254,011,503,458,262,420,153,282,667,685,923,320,
615,422,413,740,168,414,011,936,473,087,920,651,334,247,642,366,312,885,077,
264,800,879,724,230,092,121,864,746,903,291,546,099,527,452,233,692,356,963,
440,258,839,294,082,231,624,700,242,073,841,829,463,230,322,837,926,887,160,
120,724,575,714,087,538,777,835,477,728,883,596,505,508,656,109,355,331,335,
858,166,709,991,292,718,235,466,696,511,707,724,453,751,164,625,106,888,549,
213,052,248,113,816,680,378,690,291,722,705,104,760,759,617,363,404,709,056,
452,513,391,272,859,752,133,108,844,272,311,002,407,632,317,324,762,936,069,
832,215,473,485,828,492,255,573,362,059,487,759,874,649,953,525,676,800,964,
518,540,695,346,623,190,610,457,541,291,850,340,270,651,187,278,601,743,598,
208,215,628,718,461,289,787,077,011,300,049,097,271,317,661,455,997,720,439,
544,390,505,528,902,908,333,819,465,563,513,004,864,658,099,282,213,646,607,
359,794,669,046,420,301,733,539,231,882,997,898,182,316,997,853,028,755,727,
342,936,057,265,652,304,311,965,108,076,632,820,956,590,542,841,775,014,464,
738,340,573,897,827,076,881,969,703,430,975,021,789,131,908,573,992,444,612,
348,262,909,655,039,287,360,748,994,980,884,674,587,304,102,109,484,638,165,
137,891,884,060,719,317,888,247,433,888,115,331,022,846,484,566,319,556,427,
068,561,477,958,180,146,708,202,792,930,032,562,430,910,573,544,443,579,874,
157,718,933,203,402,547,946,382,991,566,954,560,923,301,948,479,943,245,186,
402,158,139,542,215,980,617,370,223,900,410,492,111,706,951,837,435,301,680,
245,174,819,898,709,523,569,433,370,344,375,669,909,070,989,135,653,582,092,
738,799,896,189,084,105,842,600,190,741,222,430,163,201,258,867,642,383,237,
962,259,235,674,067,247,208,735,030,442,490,898,097,888,509,385,595,337,490,
835,451,182,199,306,914,109,500,523,895,723,811,778,474,599,290,175,329,389,
057,306,232,889,984,338,619,056,141,670,460,417,448,888,341,048,289,258,785,
750,803,798,849,249,736,338,850,787,089,621,291,270,754,232,908,761,043,379,
722,036,366,016,441,930,656,874,330,492,190,525,793,680,161,039,129,715,359,
493,661,589,362,243,291,043,054,504,779,888,378,138,317,041,440,163,964,785,
138,673,970,943,499,618,867,672,234,674,580,203,915,850,682,987,845,863,273,
781,657,148,239,650,228,863,258,099,890,750,243,045,242,411,855,940,083,393,
965,874,421,585,853,764,372,791,457,373,204,989,112,196,641,470,164,304,326,
487,401,400,941,139,437,762,910,388,157,061,994,929,323,834,636,187,402,688,
248,349,197,686,234,253,150,078,196,301,374,487,065,833,035,688,600,318,681,
786,645,922,703,289,832,469,657,888,358,338,439,081,713,296,599,706,657,971,
692,714,767,920,059,242,353,734,523,841,855,197,720,841,869,340,319,437,436,
365,279,721,208,248,896,245,087,515,555,229,765,753,945,740,489,423,896,027,
576,055,895,454,888,040,949,388,615,830,235,556,285,845,770,594,546,196,274,
859,476,373,693,582,422,196,236,835,821,057,692,587,255,160,009,715,995,810,
898,204,428,775,242,661,974,120,916,610,089,141,412,253,408,519,576,700,634,
739,235,006,231,090,479,951,017,629,964,911,818,811,250,035,805,786,116,495,
878,692,910,104,375,420,397,513,085,672,319,268,271,640,433,950,347,908,463,
864,568,143,461,975,710,503,358,804,940,117,747,614,301,892,071,182,324,932,
762,542,966,079,549,513,345,737,207,721,867,024,735,133,440,890,737,583,693,
694,505,263,202,499,032,278,454,601,151,771,113,090,847,877,959,425,636,140,
598,681,033,840,613,751,699,948,031,281,106,404,433,780,423,778,103,572,670,
400,890,458,332,015,770,777,801,052,162,562,823,469,661,801,498,133,192,710,
702,113,403,962,671,312,759,565,827,850,861,492,980,418,139,450,348,840,152,
241,417,295,175,966,752,374,873,688,176,358,831,455,214,885,378,995,978,215,
203,715,822,571,722,273,916,172,021,850,682,088,114,015,461,585,866,456,181,
874,700,226,390,539,461,681,585,621,662,575,051,615,038,511,313,500,030,558,
792,574,826,286,059,730,480,427,616,170,621,914,077,015,120,009,988,133,108,
851,927,988,461,643,965,119,766,538,573,466,238,615,719,051,028,830,182,303,
124,167,651,176,451,476,636,095,502,642,993,620,667,237,822,043,421,735,307,
259,520,766,915,175,764,581,570,049,878,584,423,787,023,175,644,243,782,118,
380,842,591,868,390,682,087,239,644,108,026,536,171,007,713,184,343,579,435,
311,708,983,029,224,603,054,352,017,642,528,607,140,572,141,069,596,578,976,
926,940,754,365,674,486,873,947,147,859,823,823,385,837,543,710,961,638,130,
898,097,501,369,732,695,571,949,268,407,618,675,830,024,970,166,737,237,989,
223,345,285,021,552,818,194,783,270,849,806,344,803,389,798,294,774,549,283,
054,566,912,316,681,730,685,420,990,407,573,891,369,031,122,917,327,038,678,
154,243,929,705,802,188,345,960,660,950,610,168,027,417,948,809,562,846,007,
079,099,355,336,296,339,983,485,948,451,887,476,099,233,861,797,721,494,473,
693,700,449,368,799,899,393,529,367,633,221,317,578,946,032,437,226,218,315,
979,362,859,031,675,447,591,719,117,133,667,524,885,404,161,397,224,696,416,
419,364,707,022,433,672,288,714,240,594,325,459,077,747,832,283,313,712,322,
060,379,483,179,239,992,927,868,322,341,465,376,538,503,115,152,413,834,598,
136,048,330,441,591,865,243,623,229,313,090,250,092,938,948,511,468,559,568,
463,109,634,520,205,044,649,329,970,249,791,401,590,547,189,057,082,976,055,
004,276,500,552,140,021,170,346,317,850,365,604,233,184,693,375,813,254,951,
555,627,821,320,933,019,438,302,573,978,388,784,812,254,223,380,512,541,330,
933,703,501,468,329,923,031,949,817,560,005,769,998,312,171,293,353,238,221,
931,364,390,022,020,338,437,634,221,377,772,160,969,592,071,504,767,746,018,
645,936,974,602,196,879,633,370,358,346,774,218,400,415,865,017,802,819,300,
990,841,311,639,690,443,600,199,225,142,075,957,541,370,418,105,789,005,389,
230,919,795,525,704,087,842,526,402,365,066,024,983,882,550,607,321,994,050,
800,327,919,321,742,541,059,895,257,372,748,425,704,170,648,304,110,605,037,
616,871,737,339,622,781,491,754,846,780,338,263,222,093,654,618,835,666,664,
661,900,186,640,375,356,566,919,103,086,940,561,435,293,813,174,906,333,377,
755,748,533,832,187,077,142,000,636,379,553,620,551,480,463,919,234,585,971,
003,958,031,904,376,237,541,309,389,771,690,166,820,630,535,938,278,755,390,
244,485,729,652,122,945,400,197,100,498,670,044,452,305,698,360,810,443,971,
218,218,376,253,274,152,443,274,201,546,711,924,986,507,897,557,388,398,293,
952,961,943,633,427,412,003,251,293,415,271,829,622,284,346,991,533,889,600,
625,721,245,579,129,050,149,898,094,631,438,902,333,838,593,110,219,107,170,
633,011,912,019,072,307,471,225,188,520,027,910,175,189,767,684,961,433,599,
196,159,949,525,229,837,700,110,006,124,384,417,920,548,951,869,120,240,512,
164,751,463,144,333,507,236,389,416,135,855,311,721,845,872,594,256,861,855,
407,208,021,064,426,469,494,707,334,275,605,352,093,170,256,800,334,244,497,
117,109,014,844,475,908,892,024,455,618,958,044,477,466,567,634,794,876,210,
782,714,773,520,984,866,239,093,497,258,910,610,716,675,400,644,546,185,261,
118,454,604,497,356,414,884,104,143,589,914,424,040,788,036,376,113,487,331,
218,906,448,035,374,801,612,078,333,477,055,756,374,509,331,172,957,874,249,
757,839,189,477,768,131,502,285,320,913,826,162,479,359,449,353,028,781,585,
068,181,269,622,577,485,140,017,495,175,391,173,692,480,670,000,680,961,390,
990,546,749,800,418,237,172,408,117,344,906,001,659,360,096,073,831,076,040,
833,399,996,747,533,296,892,965,660,417,466,280,360,205,235,796,432,848,587,
498,373,421,594,058,562,245,489,995,509,384,397,254,449,233,800,669,514,587,
336,521,792,559,202,744,450,938,093,982,701,256,915,370,420,474,600,723,928,
744,713,441,206,110,137,585,366,266,850,619,561,631,651,121,105,289,736,857,
213,817,785,094,647,529,691,334,988,645,097,679,131,648,238,049,311,453,135,
757,853,021,841,435,275,849,025,957,852,004,184,371,471,846,619,650,502,019,
039,289,329,030,613,590,257,373,384,488,119,120,215,467,204,803,265,197,774,
174,420,944,873,865,708,758,483,099,815,349,073,169,780,833,902,738,095,421,
450,861,022,201,913,923,440,256,536,985,298,755,512,450,608,240,218,143,735,
252,533,345,258,334,519,016,158,127,537,660,146,445,236,230,093,610,144,989,
758,260,281,332,355,008,109,093,380,470,667,751,123,651,442,868,056,855,266,
021,631,589,931,020,455,023,966,873,741,090,386,392,951,464,183,603,531,233,
458,560,740,851,435,492,288,986,977,052,176,366,607,667,177,965,075,586,457,
817,880,211,343,041,559,599,426,686,059,085,610,148,880,325,081,840,228,106,
548,420,649,891,998,908,837,951,052,197,585,170,781,232,356,820,907,724,121,
425,732,630,911,652,765,790,157,649,973,977,593,372,564,586,044,040,435,433,
290,327,283,963,627,042,721,248,598,685,281,287,914,646,295,517,460,177,415,
602,923,077,010,108,503,316,963,767,983,626,881,827,152,454,316,040,693,704,
216,932,991,211,495,264,194,235,778,185,864,525,296,317,321,713,614,548,450,
183,218,620,943,408,063,118,267,550,357,063,617,143,425,031,465,720,996,608,
541,757,433,623,182,755,573,777,983,186,952,419,915,725,950,018,494,577,906,
871,440,301,911,348,014,459,544,006,934,880,474,685,089,424,071,954,108,389,
822,405,414,414,167,099,817,753,375,338,872,465,830,554,524,064,879,574,304,
271,406,756,375,312,272,328,273,678,632,705,406,482,833,448,419,258,735,721,
988,023,687,895,279,390,579,086,677,483,889,373,815,915,162,566,282,927,148,
867,015,537,240,685,092,640,352,344,157,983,709,870,365,639,386,445,811,565,
692,845,659,727,782,856,473,514,105,503,165,888,454,430,282,900,372,590,580,
031,055,272,493,303,121,582,912,091,604,905,951,448,265,982,365,969,103,476,
569,136,586,315,284,542,927,171,828,394,609,342,914,819,421,621,077,181,625,
945,045,828,004,189,584,303,808,531,485,499,595,569,277,157,200,237,686,073,
721,068,575,122,776,784,505,190,965,120,404,751,120,525,618,303,578,847,152,
949,006,390,010,549,202,642,817,518,237,628,166,382,861,697,874,708,610,261,
473,327,553,027,694,932,656,247,567,626,904,586,613,891,739,032,985,854,712,
575,758,844,657,594,527,135,433,158,512,491,940,368,387,499,818,215,750,710,
572,694,151,584,569,317,725,989,410,551,670,568,427,176,352,675,228,832,815,
895,088,370,587,161,244,291,855,600,427,141,584,097,851,678,880,508,676,068,
933,262,046,782,056,590,659,937,777,632,300,966,005,780,301,399,706,621,515,
473,373,006,149,283,220,363,613,234,572,864,978,291,251,605,280,836,851,501,
941,535,511,415,761,684,561,816,354,900,238,039,611,707,432,926,649,430,862,
516,892,146,372,196,945,141,596,294,102,638,432,419,784,230,762,487,609,548,
715,886,356,856,494,138,560,639,493,124,483,562,471,893,548,385,060,388,250,
770,400,265,400,649,445,071,414,260,198,755,536,236,348,965,628,301,005,067,
917,991,591,930,015,214,038,182,965,408,733,756,481,977,176,916,211,256,981,
074,875,132,372,007,794,110,101,218,895,381,698,949,015,759,290,787,713,734,
744,896,667,037,526,887,584,998,318,605,492,728,986,820,305,875,082,997,118,
953,272,930,449,874,184,494,259,721,125,801,307,897,927,270,722,416,406,388,
154,212,676,635,052,722,331,055,266,327,321,443,237,540,093,640,902,736,657,
583,229,654,212,649,181,942,685,714,086,682,849,955,940,484,352,918,384,407,
804,200,941,936,075,796,830,015,260,035,782,653,204,689,093,288,745,081,851,
718,128,778,912,551,859,032,500,243,864,366,449,409,873,442,427,557,208,233,
262,212,049,882,222,821,947,828,235,834,967,675,830,502,840,983,621,403,184,
364,324,779,979,532,173,082,036,681,124,095,040,182,656,941,720,385,594,537,
274,261,240,813,005,957,863,522,547,017,274,489,596,770,367,680,885,516,181,
550,365,170,526,407,368,549,714,061,839,258,985,603,466,625,215,167,909,150,
979,248,323,459,599,198,412,491,975,199,295,610,969,994,246,746,763,979,644,
160,047,080,922,042,315,605,124,508,869,364,521,876,801,814,684,921,430,613,
823,906,124,566,426,100,444,723,929,693,483,895,538,477,618,569,541,529,038,
030,238,296,346,041,401,014,830,547,620,844,207,933,110,835,056,934,148,536,
015,447,298,417,871,652,970,263,541,535,798,096,236,122,701,852,541,370,391,
089,795,172,799,063,832,095,059,328,341,220,970,384,325,092,735,002,695,434,
668,312,500,516,037,123,561,157,362,690,716,704,614,651,442,207,226,905,552,
910,797,652,390,009,946,494,408,199,063,876,940,042,974,057,849,462,481,584,
373,740,178,954,651,972,359,093,805,589,451,204,546,021,339,761,094,831,006,
915,174,088,049,208,358,072,765,729,368,824,146,960,680,560,110,672,834,229,
088,152,922,750,677,207,335,495,785,157,831,038,959,836,935,741,341,062,563,
271,013,205,575,123,721,252,961,636,473,001,477,357,608,686,416,731,368,301,
893,315,435,169,931,556,292,060,476,629,286,648,525,368,576,135,753,014,156,
660,790,049,147,626,466,472,415,495,071,517,285,934,237,635,805,882,092,909,
837,788,697,031,100,268,952,715,524,000,255,366,242,276,258,633,773,988,006,
897,487,278,752,360,567,871,057,078,010,368,801,442,793,113,384,082,845,232,
549,534,616,694,666,441,852,979,728,399,402,127,302,397,300,170,558,047,180,
836,527,892,959,414,421,602,834,549,915,062,729,223,907,963,742,709,669,130,
282,303,568,549,307,902,445,373,983,983,739,156,538,653,294,945,155,081,608,
606,901,493,795,972,024,008,024,313,138,703,813,081,024,061,737,868,192,545,
841,678,102,880,799,192,834,205,175,444,492,527,245,040,095,092,524,926,557,
775,316,991,366,937,385,485,728,913,374,155,755,164,176,333,491,722,101,750,
552,762,352,881,694,698,486,878,278,230,819,657,516,345,826,442,595,553,507,
026,999,044,998,761,383,819,934,622,581,903,582,624,507,974,148,139,371,633,
605,793,206,672,376,368,487,781,921,374,898,208,584,522,415,078,869,993,507,
227,914,141,674,204,605,126,146,961,794,232,835,099,035,106,016,415,021,803,
376,555,196,605,733,587,990,398,706,067,167,102,455,592,276,781,105,816,170,
487,631,207,928,091,298,065,476,049,886,998,047,007,875,084,377,178,385,384,
409,389,807,117,136,280,844,237,142,002,811,851,637,649,645,110,519,050,023,
650,166,754,337,551,449,694,202,608,976,996,333,489,143,455,412,467,814,047,
834,539,668,503,551,577,463,041,071,615,516,505,173,227,690,981,606,792,359,
019,345,049,675,624,092,885,450,326,532,858,163,858,881,227,800,441,506,818,
409,272,103,415,079,546,506,542,409,073,784,924,363,567,777,632,802,156,001,
499,023,832,226,032,476,530,210,624,545,648,361,468,894,257,628,631,196,953,
257,816,368,299,944,630,882,027,801,753,426,404,301,388,273,212,173,037,580,
768,280,188,061,763,103,856,518,518,359,099,932,659,433,707,796,737,904,963,
451,745,098,446,649,934,691,796,315,742,430,612,163,351,473,001,559,826,559,
136,296,827,652,780,254,060,824,303,315,549,713,993,360,209,893,034,271,375,
665,194,028,786,580,685,966,877,299,452,327,263,650,100,269,937,345,299,189,
816,158,752,953,471,071,834,095,628,177,142,375,463,079,659,825,490,033,066,
071,711,767,966,212,402,453,735,057,070,145,284,622,620,752,764,106,531,816,
018,968,576,247,686,101,587,088,686,156,430,243,535,136,963,776,138,039,866,
577,254,915,117,460,175,142,647,295,446,041,220,864,044,402,040,284,272,281,
772,272,876,535,188,161,286,837,517,882,205,788,059,034,691,998,476,959,277,
553,072,934,388,154,927,579,431,382,408,872,864,257,355,294,745,902,250,615,
443,838,946,875,844,779,496,955,327,586,806,104,224,864,456,291,054,476,454,
577,344,561,371,791,460,810,969,479,602,131,053,342,430,024,101,914,889,343,
824,411,631,713,083,090,386,466,445,974,532,215,236,758,167,718,002,762,395,
214,174,499,525,825,359,366,035,612,182,099,406,326,295,915,425,101,564,284,
137,859,604,969,564,721,301,773,743,674,413,434,481,898,309,402,228,902,580,
647,239,047,394,413,509,187,493,707,060,913,561,681,771,409,390,369,132,324,
711,864,081,353,132,036,146,755,523,920,870,227,321,180,759,757,661,847,375,
854,645,357,606,963,945,589,846,505,996,933,727,068,588,257,302,828,585,850,
011,733,201,303,151,152,605,584,332,587,093,845,131,516,685,735,152,568,445,
895,215,109,626,111,299,823,529,097,962,267,190,077,904,426,649,395,041,249,
750,369,137,116,349,002,658,523,413,502,307,837,262,860,678,634,037,989,887,
838,369,609,751,527,927,688,207,651,535,971,302,484,509,855,397,296,455,904,
162,028,767,553,136,365,716,209,083,941,427,820,869,700,963,292,594,131,126,
766,240,121,976,022,146,808,619,534,601,697,389,245,198,640,032,527,713,087,
655,797,828,508,401,347,537,567,345,019,066,514,135,985,647,715,678,522,720,
288,224,561,186,893,230,014,016,751,883,749,058,101,014,234,862,082,868,798,
146,209,762,255,589,287,178,801,346,435,447,861,654,352,033,165,452,161,542,
660,183,657,731,828,380,121,772,886,853,016,487,104,047,967,005,332,273,682,
298,505,364,459,129,995,206,009,084,550,408,116,347,860,900,623,698,383,437,
580,897,831,819,168,720,351,013,270,361,846,870,455,995,526,270,938,975,497,
810,709,845,763,616,755,353,235,671,132,010,078,237,217,242,404,805,589,577,
414,016,172,870,180,449,521,738,805,478,137,004,265,203,865,292,054,555,923,
773,460,285,559,903,047,357,982,766,095,862,618,586,182,306,085,109,569,403,
267,088,236,897,491,476,704,271,212,832,447,258,613,220,921,846,472,956,302,
341,172,249,471,434,084,174,385,644,578,171,730,440,113,698,587,208,321,451,
729,872,858,428,784,601,305,989,429,960,297,506,775,471,036,297,652,689,719,
525,662,537,165,806,499,454,409,686,222,305,138,612,520,217,116,985,617,214,
445,275,259,980,228,457,598,588,997,388,285,222,992,838,367,731,961,941,982,
783,519,756,597,972,291,358,056,921,974,693,015,891,878,559,021,180,597,017,
160,501,425,277,017,251,158,555,261,102,689,102,060,293,808,284,837,498,052,
231,811,417,420,143,609,174,500,194,427,261,957,128,467,103,188,930,581,693,
980,790,553,537,271,189,260,217,324,103,853,841,103,727,626,242,861,932,699,
047,030,519,649,823,481,731,224,113,989,821,741,597,076,671,485,200,898,492,
118,772,735,249,734,640,937,683,005,863,058,059,838,725,484,326,055,513,823,
758,984,676,225,974,031,047,523,633,777,173,604,090,255,924,094,858,475,158,
579,680,688,660,375,897,385,198,028,358,404,671,521,369,780,853,658,287,913,
387,901,476,321,803,510,743,478,531,655,861,385,337,155,566,553,627,542,625,
441,125,147,344,283,352,802,455,689,147,500,705,322,818,147,726,857,340,982,
625,587,631,257,479,145,441,967,241,065,503,199,850,567,429,082,686,502,245,
342,774,114,632,378,009,057,272,131,831,445,611,185,159,988,519,199,617,231,
667,022,144,214,059,168,814,520,500,291,864,149,345,044,820,339,564,075,150,
173,780,517,338,389,438,564,259,098,837,869,794,132,512,274,492,099,107,650,
045,865,648,006,870,321,158,546,583,443,430,398,559,465,288,293,478,712,346,
158,416,803,499,403,388,863,402,852,572,095,589,823,868,046,979,208,564,224,
411,451,200,492,851,736,378,743,265,300,802,839,382,415,223,469,793,574,786,
678,351,022,355,650,686,519,386,757,535,205,257,896,167,755,756,661,541,700,
674,514,470,101,399,230,278,029,947,192,164,378,113,074,683,832,046,397,664,
328,290,218,039,355,993,447,799,857,368,148,005,439,620,337,819,163,891,947,
217,730,554,312,998,638,212,836,319,768,344,418,539,424,000,449,337,980,376,
448,596,188,364,218,781,295,943,500,310,626,028,804,820,639,618,286,733,825,
182,120,001,174,145,234,010,479,280,645,453,492,563,033,075,583,899,917,070,
804,296,194,429,719,823,366,651,312,248,845,797,846,179,321,006,521,197,348,
241,125,488,816,854,928,503,177,158,757,976,887,330,924,517,626,410,817,152,
928,653,429,101,211,283,981,323,941,976,825,997,673,218,787,329,120,288,246,
117,195,337,582,759,723,400,589,674,115,012,571,451,922,596,991,137,125,060,
894,988,872,072,976,014,701,587,530,472,763,281,067,911,556,241,211,484,651,
876,171,967,806,081,227,029,749,761,278,712,175,065,835,903,862,455,354,804,
645,572,726,292,840,897,001,267,910,354,128,980,699,510,657,783,677,080,478,
967,128,643,524,008,408,509,284,756,412,789,649,045,103,441,954,271,992,195,
266,413,384,682,395,901,603,822,450,452,411,617,785,908,340,640,607,932,215,
018,110,326,874,374,213,122,038,397,764,663,792,824,295,421,660,709,390,919,
244,645,532,037,238,915,815,107,477,006,795,490,354,834,700,556,619,624,689,
092,742,194,483,499,250,295,903,198,866,924,234,130,985,654,815,664,731,279,
626,657,504,237,505,797,189,049,237,181,150,588,077,223,242,843,813,598,072,
024,633,414,470,535,083,797,130,292,930,544,050,332,053,765,370,877,516,638,
985,610,747,359,912,486,880,635,012,498,880,782,481,898,753,435,464,253,086,
049,648,369,539,442,401,658,185,048,467,193,400,407,202,926,845,381,056,831,
488,949,923,860,661,943,066,265,303,257,107,197,610,244,195,310,592,084,999,
798,830,823,772,112,854,255,978,142,913,536,341,581,119,801,157,959,894,038,
580,726,662,692,091,380,273,469,586,591,368,300,637,088,081,395,899,842,568,
201,198,359,647,449,356,355,210,304,394,930,188,170,377,761,657,118,291,414,
199,397,686,706,180,922,975,194,851,117,390,127,399,816,263,891,380,291,605,
919,236,427,297,666,114,321,273,677,704,059,747,263,619,160,816,723,852,934,
244,488,032,609,681,926,513,775,612,476,464,189,907,164,404,241,540,880,775,
106,943,372,321,165,013,533,056,538,821,382,280,761,990,272,660,079,522,741,
454,941,128,389,939,469,093,134,825,990,341,889,589,282,890,256,576,641,882,
700,136,186,485,507,690,273,263,484,562,709,869,396,250,364,458,317,229,681,
137,377,615,384,367,265,397,145,088,154,165,924,915,038,491,075,158,674,755,
371,658,882,317,597,172,539,376,197,789,371,421,728,535,464,763,975,487,669,
149,891,375,486,676,046,038,248,038,072,792,030,466,241,794,318,696,648,392,
217,758,383,903,322,496,387,521,167,753,415,048,080,500,002,421,554,830,182,
443,743,646,296,671,542,350,774,007,077,806,449,816,720,718,706,050,610,541,
520,316,092,135,792,783,149,603,646,735,677,336,721,039,799,502,701,226,015,
684,088,184,803,129,623,249,359,291,703,662,970,735,948,575,793,917,214,166,
430,895,081,338,767,095,189,587,531,966,354,065,774,441,981,856,831,781,296,
050,371,034,240,175,631,919,671,962,753,403,483,429,657,017,970,855,656,750,
037,341,364,886,620,561,941,351,877,277,251,301,884,672,500,602,097,942,701,
490,442,630,526,316,402,461,740,767,579,686,462,642,636,920,703,257,876,265,
744,431,375,818,521,239,944,668,966,987,278,723,020,005,931,573,117,772,355,
095,322,206,097,247,062,816,889,822,246,834,108,092,570,842,517,882,434,245,
385,687,192,570,510,031,599,304,594,224,676,075,440,861,064,512,762,084,214,
199,583,254,361,991,951,033,000,464,809,113,213,062,880,551,413,624,355,734,
826,192,071,681,735,264,565,603,345,850,247,246,057,880,059,044,986,057,834,
441,659,927,643,605,181,577,853,382,745,627,389,728,705,371,302,539,269,112,
976,190,950,494,179,988,616,260,672,763,950,740,175,572,519,419,079,269,319,
227,254,863,005,477,003,220,988,966,113,035,769,747,173,421,090,024,779,769,
473,073,658,100,139,352,414,347,358,774,938,593,228,443,970,669,148,394,525,
840,889,651,252,810,917,718,169,964,803,261,959,874,352,296,358,725,396,321,
860,323,360,418,072,655,356,134,580,430,574,805,005,433,675,249,317,495,211,
258,679,669,629,343,619,051,266,364,279,095,265,070,121,127,264,620,087,243,
051,118,951,247,965,667,395,810,119,269,986,658,605,609,722,780,194,076,643,
805,724,603,312,798,348,379,816,893,069,266,329,174,779,490,932,186,114,116,
515,938,297,650,170,864,780,640,422,752,441,622,698,426,363,743,308,876,480,
326,520,799,081,609,992,211,197,529,393,560,774,948,481,617,288,087,110,079,
454,660,669,804,070,001,101,738,339,272,088,070,526,500,176,501,830,577,106,
485,303,752,385,555,716,121,448,337,538,564,744,130,640,983,578,899,350,893,
642,305,125,980,501,146,741,700,152,060,294,872,375,260,702,051,686,500,312,
392,399,615,914,475,412,190,479,841,153,805,516,847,294,118,422,311,287,000,
733,937,667,933,841,293,279,065,145,024,902,753,892,465,150,893,652,951,326,
984,742,216,806,214,890,012,595,508,702,337,869,735,675,732,290,924,659,220,
487,615,619,561,588,583,832,264,301,423,486,822,240,171,393,138,039,242,487,
055,879,073,090,430,733,249,274,000,415,655,823,766,862,313,517,140,581,298,
873,154,516,440,236,101,053,057,307,471,011,206,485,063,333,331,368,074,828,
950,432,575,469,056,989,168,732,794,807,219,000,697,257,457,395,551,388,688,
328,525,423,900,791,604,970,862,000,598,236,770,268,418,959,012,311,050,978,
031,761,133,959,194,525,038,186,225,150,271,216,455,840,255,608,900,527,754,
037,562,787,556,155,475,118,992,038,470,312,456,094,137,667,120,027,329,766,
924,781,037,872,241,266,528,036,659,333,932,462,706,218,627,656,358,355,720,
618,371,194,423,156,191,029,397,838,864,542,330,767,258,446,130,169,334,537,
761,828,078,159,533,989,156,356,985,878,156,140,652,820,121,090,825,699,528,
039,542,896,205,665,437,677,335,410,728,650,060,672,810,411,651,183,340,837,
301,043,425,139,336,106,698,140,864,085,864,620,939,720,482,103,510,097,802,
693,620,049,127,677,655,170,484,855,553,608,629,332,894,882,710,792,639,043,
750,882,044,930,775,207,578,555,851,378,203,105,643,705,978,415,813,793,060,
926,426,123,049,842,872,195,891,126,229,493,045,073,035,445,158,488,275,131,
424,430,257,118,238,553,824,563,118,095,293,936,031,307,393,200,847,242,402,
417,610,055,654,859,544,729,452,327,514,383,216,521,597,482,569,621,671,047,
347,728,161,312,808,284,505,676,122,822,410,897,260,944,878,680,822,517,502,
129,083,653,431,370,449,237,083,386,609,325,864,572,762,378,313,498,663,943,
128,560,050,660,846,759,397,711,320,899,163,983,118,774,349,953,701,171,629,
987,762,875,809,164,868,588,810,122,716,832,716,692,137,190,816,946,750,536,
213,675,161,238,615,330,283,871,074,895,835,689,592,884,691,573,824,950,884,
915,634,942,749,644,548,705,815,258,197,439,054,342,928,690,902,254,903,575,
596,311,520,665,126,205,404,689,663,268,314,679,800,159,931,868,117,998,293,
191,161,067,286,022,890,909,164,684,021,488,887,689,285,213,044,368,210,874,
713,984,321,172,323,167,908,661,966,759,739,789,927,543,929,360,946,504,225,
622,066,615,774,990,545,676,851,644,702,285,954,321,988,947,003,616,737,959,
475,338,103,845,407,596,683,113,637,331,662,552,352,370,113,312,946,876,667,
014,917,750,944,328,575,176,492,434,605,153,128,120,365,882,116,541,783,647,
678,667,861,459,292,520,434,574,023,870,217,325,798,030,324,697,747,156,959,
223,691,937,915,603,584,383,445,516,184,611,327,778,929,638,106,788,472,986,
600,913,143,310,968,801,117,742,311,100,929,648,287,673,961,224,281,397,950,
488,641,306,143,316,883,913,206,671,289,165,798,694,329,331,219,409,273,067,
518,749,649,029,260,931,496,725,032,480,354,150,305,656,727,125,870,966,482,
024,288,138,915,135,065,849,853,557,020,889,012,990,193,923,488,288,455,039,
604,624,970,219,054,727,629,854,843,194,420,787,132,397,852,807,818,966,087,
343,617,225,490,776,832,976,163,838,521,904,427,489,933,036,780,666,795,562,
972,646,223,182,205,394,205,999,983,022,342,687,208,504,295,847,504,385,849,
711,421,999,556,227,281,428,254,100,391,775,282,627,594,639,669,237,232,260,
102,422,424,414,973,409,033,077,049,664,754,655,677,885,050,557,773,601,603,
970,923,236,161,182,463,441,946,049,239,352,853,841,096,246,358,663,251,455,
296,423,839,036,363,080,384,601,606,373,854,677,750,343,622,715,467,640,052,
948,738,123,821,048,058,028,100,041,369,749,181,049,977,927,991,093,664,075,
266,384,247,622,299,298,295,527,043,951,876,399,475,936,045,054,967,065,110,
899,737,102,921,242,151,941,880,311,342,497,600,642,019,091,356,575,988,432,
353,813,353,635,826,915,572,266,960,020,654,603,652,767,332,684,871,819,148,
659,998,503,626,491,697,414,452,727,474,499,007,827,970,417,269,698,067,332,
284,799,945,799,366,706,734,226,314,133,648,079,596,049,974,071,947,396,023,
566,868,743,940,684,129,564,195,348,651,503,849,894,993,354,578,653,854,719,
580,556,844,511,963,454,142,764,352,247,553,061,601,977,347,032,279,469,170,
377,287,465,109,908,273,926,988,508,369,986,666,843,646,574,475,363,294,905,
565,504,063,832,116,960,339,576,210,120,796,994,171,805,659,830,003,858,661,
961,381,858,396,025,139,559,827,562,998,783,673,615,630,660,128,908,120,790,
601,381,420,033,864,637,106,358,348,086,309,593,917,238,165,043,200,736,598,
368,444,573,218,222,925,548,596,428,315,994,883,615,247,003,191,557,460,950,
792,132,044,822,789,613,753,749,436,934,866,811,729,581,514,679,085,815,642,
032,182,463,038,627,439,724,581,267,766,235,316,832,887,575,067,080,078,582,
524,975,143,810,909,790,894,742,997,729,379,954,964,928,640,521,132,666,873,
810,181,216,773,216,589,826,112,771,059,994,169,965,002,716,057,209,928,683,
598,826,460,100,250,673,056,065,113,873,842,509,915,874,068,619,891,413,313,
783,554,623,150,505,112,870,432,720,983,422,438,529,698,153,889,916,292,208,
057,312,755,657,616,574,939,403,114,367,118,578,247,610,383,561,771,874,989,
751,528,403,826,669,279,602,597,981,350,452,916,365,221,082,753,132,991,559,
478,446,614,296,430,753,133,865,023,953,409,991,156,757,031,263,247,533,475,
922,175,995,271,593,954,109,465,785,019,221,743,693,830,835,688,541,226,218,
963,698,363,253,005,891,712,518,647,812,490,063,766,202,016,897,872,974,963,
083,742,261,410,936,492,191,092,830,260,241,094,092,441,708,958,867,742,184,
473,048,023,565,050,675,138,502,538,667,713,423,225,790,839,796,819,793,092,
424,130,044,895,621,194,258,405,276,877,170,584,947,561,124,717,176,373,111,
145,930,489,659,491,983,094,956,983,192,425,030,808,999,814,149,740,161,009,
950,183,552,287,840,005,873,697,424,822,323,832,675,196,020,344,785,754,152,
283,082,923,812,859,865,520,216,459,355,728,106,934,125,462,281,211,070,638,
393,366,338,983,330,821,086,411,572,362,406,733,369,516,113,746,046,111,839,
138,272,305,425,147,042,211,703,515,533,277,973,937,221,013,792,761,730,206,
964,439,215,573,682,394,868,744,526,646,938,590,544,782,913,409,232,118,994,
335,064,682,838,117,854,571,614,368,728,283,885,894,236,317,815,754,140,099,
624,122,586,469,529,607,765,739,329,833,257,760,740,047,200,010,741,117,789,
988,531,941,238,021,313,743,487,964,653,732,958,513,780,319,382,176,202,141,
007,660,296,511,726,929,706,774,633,899,086,446,400,604,199,034,622,531,967,
039,268,004,120,522,745,804,278,259,808,640,024,409,402,107,224,598,209,600,
174,285,232,843,090,541,803,382,237,581,241,576,818,870,740,962,934,422,318,
742,816,706,453,026,033,391,601,534,225,259,385,719,876,517,077,367,681,466,
082,296,927,139,356,313,429,686,729,403,205,474,937,600,469,673,868,291,795,
567,784,900,942,542,292,660,725,184,615,959,580,196,733,587,994,910,095,042,
373,922,311,928,982,999,477,161,363,048,453,895,964,207,046,519,302,637,784,
572,820,802,874,459,472,999,905,901,903,569,286,583,104,919,948,768,480,964,
378,748,698,159,312,463,829,368,986,086,113,938,192,881,449,177,250,115,891,
610,733,232,418,880,517,435,322,710,719,642,324,106,968,051,477,078,371,161,
659,646,519,322,281,970,268,664,175,715,350,092,354,180,975,869,255,309,645,
708,071,726,500,278,836,826,153,163,661,791,771,144,300,660,193,410,734,028,
459,653,078,625,444,884,938,146,295,531,130,631,867,820,663,233,589,391,351,
307,317,355,425,564,546,317,946,612,280,856,186,242,500,735,328,623,105,869,
285,841,746,248,046,263,769,809,981,344,527,785,739,165,570,805,811,712,667,
019,822,092,207,186,802,522,886,827,123,800,979,060,938,082,840,272,195,827,
603,002,735,708,450,636,313,358,763,484,028,040,522,448,523,495,264,642,851,
762,963,164,289,125,122,808,595,249,827,724,872,660,938,160,662,601,021,378,
257,496,868,819,170,161,501,850,150,702,140,699,183,435,941,970,512,527,540,
123,177,271,883,075,298,075,237,037,963,570,318,075,042,809,673,440,007,388,
151,858,749,976,370,466,379,672,923,140,936,837,675,863,796,147,716,981,486,
692,099,647,168,182,545,014,009,921,318,991,535,632,107,262,935,882,096,608,
314,939,116,205,664,011,287,717,685,010,017,621,030,227,423,666,035,645,662,
292,948,598,306,152,774,612,037,602,897,983,086,721,401,215,171,582,553,041,
076,193,935,402,848,065,521,596,285,261,789,186,682,966,432,887,709,194,860,
257,049,777,826,138,379,618,040,092,080,667,619,724,692,940,542,332,978,062,
804,906,758,983,870,033,737,561,806,341,985,096,278,481,522,190,573,696,760,
675,139,727,271,558,330,157,328,420,140,957,743,838,214,240,062,641,679,470,
819,939,343,405,796,733,246,604,037,629,993,686,055,218,367,998,511,501,956,
339,355,057,598,210,066,169,045,096,824,791,069,230,757,339,523,998,190,260,
043,387,933,501,284,551,196,313,125,094,993,187,994,693,406,271,405,912,305,
819,012,241,733,811,228,298,349,937,392,323,162,903,485,003,416,614,069,733,
711,410,870,222,499,344,309,932,036,026,429,876,010,309,530,833,978,744,762,
034,258,155,791,903,839,213,116,066,942,515,198,772,989,067,400,460,324,739,
519,944,072,515,892,450,150,975,976,802,562,058,282,997,697,431,981,616,208,
481,688,810,239,385,671,037,693,178,314,844,104,273,313,534,343,205,983,666,
096,930,949,770,985,576,463,461,711,486,779,165,274,780,412,562,807,541,020,
763,492,647,219,109,456,045,427,113,649,054,154,921,646,500,666,281,136,783,
425,697,876,346,020,573,266,482,403,005,087,694,609,234,135,625,235,852,713,
253,618,780,536,025,709,412,916,989,486,886,828,786,325,444,301,992,678,138,
000,200,896,072,603,910,384,037,577,662,305,173,822,245,296,742,998,720,500,
096,114,292,343,031,267,646,973,524,360,122,853,122,270,348,343,276,001,827,
765,731,277,108,500,310,967,206,721,422,779,956,698,616,612,366,015,805,218,
130,143,881,662,672,774,864,887,463,693,673,763,437,388,146,119,593,300,841,
821,627,186,192,866,119,162,946,696,451,199,282,002,624,580,150,009,073,694,
638,308,696,135,016,354,259,864,899,033,776,615,219,059,971,583,128,313,084,
628,121,809,527,425,448,580,930,936,208,536,531,975,641,152,497,259,077,368,
946,143,374,019,700,370,592,393,424,578,226,584,556,540,553,466,941,337,716,
529,881,265,241,683,815,643,515,902,242,118,752,777,248,827,341,860,313,029,
253,909,832,840,461,047,935,956,952,076,419,559,576,023,689,576,200,786,708,
299,519,255,519,530,796,472,230,041,161,303,754,382,607,882,797,551,010,248,
538,082,112,281,296,995,811,498,681,555,159,123,492,273,157,412,312,882,848,
201,270,866,600,679,618,406,998,794,951,121,998,971,161,023,342,145,630,968,
299,438,106,523,651,725,815,354,460,544,891,115,525,439,995,385,203,878,009,
553,902,595,114,204,576,098,074,964,540,202,578,638,494,077,335,286,323,745,
626,857,860,594,903,405,375,962,901,938,205,480,398,323,830,746,973,851,608,
346,746,979,749,249,598,614,302,826,170,410,118,709,813,909,351,061,214,148,
781,552,628,905,648,998,302,063,755,042,216,781,017,843,300,935,120,144,042,
395,161,686,648,366,961,770,142,556,087,524,647,104,732,821,157,384,514,367,
090,062,939,278,105,048,576,389,320,308,024,062,694,533,825,873,191,023,055,
678,504,857,805,654,688,237,081,432,648,663,038,330,568,926,487,227,009,684,
117,975,487,403,494,123,798,928,822,343,885,619,249,609,397,013,613,271,392,
895,090,780,652,681,534,745,281,070,175,939,690,221,403,007,228,317,086,814,
677,847,783,165,180,651,708,653,321,997,127,028,823,477,792,725,998,113,018,
824,807,621,120,040,648,544,093,039,053,079,462,977,448,921,873,752,784,562,
171,218,667,980,544,704,505,217,922,583,140,982,728,793,976,315,106,381,325,
851,276,765,928,405,435,058,476,992,464,787,307,337,835,533,936,255,983,663,
359,853,432,022,904,930,490,054,555,405,353,483,111,460,726,733,657,525,620,
545,966,549,610,951,461,096,109,014,799,853,222,127,342,090,752,153,659,470,
813,542,247,249,470,488,463,048,559,211,117,340,551,196,385,372,723,926,886,
743,618,993,214,966,987,614,409,230,644,382,330,218,542,632,171,533,282,738,
187,221,882,946,946,915,591,050,301,859,067,225,102,606,319,788,822,322,233,
840,030,341,100,402,603,780,325,218,524,161,261,130,440,235,334,448,639,398,
008,679,914,254,788,706,589,057,875,853,183,574,277,009,962,182,540,071,606,
951,463,626,866,902,435,001,157,485,866,735,763,409,740,550,155,405,904,638,
247,883,439,770,941,330,403,122,086,471,831,007,861,462,370,800,843,826,143,
151,098,100,309,518,733,826,902,082,893,736,509,565,483,573,114,611,462,585,
049,162,612,218,219,438,942,261,931,792,726,093,245,911,017,444,137,383,704,
209,048,749,894,398,169,538,635,706,164,246,864,454,680,157,183,195,922,947,
012,858,504,429,024,299,781,659,246,799,038,997,539,444,666,809,917,711,395,
411,491,006,364,243,990,150,591,142,814,000,945,490,939,643,707,150,505,691,
479,571,250,444,472,682,863,938,481,703,100,192,051,993,041,455,134,268,534,
020,785,723,059,904,447,923,014,285,547,221,898,054,476,941,802,596,536,585,
680,575,041,281,605,758,386,477,659,166,990,778,539,159,730,737,793,415,566,
683,036,568,990,543,852,596,422,995,037,965,344,340,553,005,323,955,210,205,
315,397,946,952,933,919,154,188,198,526,517,114,685,404,380,804,092,180,254,
680,491,709,824,215,560,108,701,799,805,287,544,591,453,883,194,050,975,644,
285,041,090,396,042,757,468,286,368,012,751,439,607,888,639,443,646,189,896,
719,962,985,055,625,169,874,799,638,844,313,846,817,144,736,143,892,949,700,
444,640,310,784,486,006,623,737,316,048,809,264,942,005,038,622,170,717,908,
885,292,246,511,584,125,060,594,358,822,840,826,661,930,245,114,698,648,243,
237,103,507,560,871,785,013,051,044,274,347,271,304,025,025,240,356,201,587,
967,065,606,249,767,644,372,786,755,591,169,391,999,550,788,914,185,283,872,
655,381,034,199,246,933,241,990,841,447,879,700,116,391,485,263,048,543,726,
230,841,851,625,412,211,650,591,752,942,200,847,229,807,377,357,196,072,514,
681,760,639,461,879,792,863,486,980,163,804,780,012,778,176,263,691,015,357,
767,487,797,836,953,629,036,518,121,890,578,454,933,240,098,456,814,927,536,
187,483,634,542,371,454,932,577,283,149,325,684,072,348,812,408,326,838,949,
862,504,699,970,251,283,990,497,471,091,319,097,151,026,441,482,929,844,457,
065,421,900,742,423,900,510,921,112,802,895,692,822,337,756,058,381,010,735,
295,107,472,427,000,161,072,012,375,911,469,207,066,722,182,746,106,332,520,
626,674,313,517,036,998,313,103,954,234,785,315,023,994,683,722,304,334,930,
604,788,130,332,523,122,567,429,517,339,467,098,627,678,577,595,228,251,211,
974,073,776,847,091,376,521,736,867,442,518,374,195,061,968,995,559,936,609,
228,682,638,456,620,097,017,875,453,404,945,719,301,064,136,470,882,952,693,
989,132,808,032,329,936,436,299,639,470,514,120,123,803,833,575,485,367,728,
399,002,557,214,194,239,283,699,455,670,544,826,909,020,391,461,831,621,206,
087,555,980,577,651,199,680,524,922,222,831,552,752,588,344,504,268,710,822,
859,107,679,882,801,349,864,095,219,579,978,821,747,439,433,680,637,485,364,
740,374,209,913,354,067,506,245,835,066,903,484,133,411,951,042,637,662,491,
816,506,419,712,894,596,460,173,761,848,847,350,143,222,292,426,306,789,677,
950,419,147,615,079,550,295,309,147,143,879,284,207,690,208,498,438,387,727,
905,290,558,397,531,471,001,715,745,318,049,412,012,545,846,995,851,800,289,
877,455,734,619,746,287,118,044,968,609,706,235,739,042,035,400,310,041,389,
128,345,953,308,839,926,654,507,817,374,951,499,188,035,843,737,350,468,639,
706,206,493,381,243,743,828,622,889,621,836,196,402,046,875,852,428,776,795,
326,029,587,091,197,270,335,044,910,747,845,753,513,893,334,430,971,896,708,
209,188,180,597,731,271,106,724,624,119,066,999,472,345,736,274,675,900,704,
924,202,837,989,309,063,864,570,511,378,164,023,320,337,723,406,844,894,510,
473,292,804,803,491,345,835,936,188,427,368,035,118,656,524,177,948,424,399,
890,588,864,728,520,574,649,759,978,959,462,872,553,652,761,390,851,492,575,
947,766,592,792,977,030,768,283,414,086,356,975,126,611,398,743,191,494,833,
384,152,624,082,553,057,395,343,715,347,065,204,970,242,737,944,649,507,237,
695,668,010,237,364,254,361,700,660,339,968,178,444,194,720,626,358,386,904,
839,910,683,877,778,844,187,050,342,111,067,071,167,959,799,815,739,340,823,
873,295,455,911,111,786,311,700,916,459,251,456,465,403,357,623,167,115,675,
442,653,985,444,503,691,713,445,952,550,040,900,486,909,390,293,996,767,862,
618,028,156,791,154,720,159,442,428,354,484,366,175,682,516,168,481,860,679,
640,799,033,774,234,321,875,489,077,950,781,292,733,059,176,726,346,446,463,
732,652,762,316,214,982,989,036,298,414,099,532,457,538,029,082,584,987,136,
639,308,015,521,711,001,396,144,503,579,337,452,617,460,472,163,657,729,760,
352,923,481,321,134,492,800,767,692,803,227,196,298,548,996,818,662,712,309,
193,833,695,682,969,926,492,455,585,432,008,722,548,813,094,672,193,667,529,
802,230,026,611,042,417,457,282,168,981,173,019,148,500,898,905,131,290,344,
900,755,470,770,449,217,687,127,886,697,312,352,885,562,935,291,315,946,583,
141,631,919,385,190,151,157,481,601,159,289,504,197,739,549,486,896,381,748,
606,155,895,778,007,534,674,166,558,457,116,319,937,120,198,515,454,854,885,
789,519,488,535,369,668,456,075,315,074,676,995,660,504,517,372,310,665,913,
632,369,870,646,188,633,808,795,438,867,388,474,064,116,923,969,410,512,986,
121,910,834,576,410,698,214,516,121,293,722,518,147,616,364,363,409,651,389,
990,188,847,624,120,451,891,191,124,979,621,384,960,786,983,439,807,453,381,
717,027,131,405,089,172,832,228,674,991,544,336,545,024,677,514,048,971,677,
711,628,002,993,132,235,285,459,135,918,643,495,900,684,914,166,037,150,093,
423,743,996,052,510,924,304,417,554,546,612,221,694,186,244,542,282,215,675,
823,912,120,309,627,778,370,659,739,262,407,237,325,271,337,044,758,704,696,
049,675,457,691,079,437,165,682,210,575,993,101,241,248,033,140,457,321,243,
320,472,135,779,308,045,973,813,703,211,449,593,876,693,506,488,034,423,603,
888,957,131,864,880,662,570,250,923,381,101,839,802,344,921,896,010,118,647,
268,783,086,356,218,243,916,606,848,913,237,154,657,513,352,694,184,175,947,
995,381,514,758,436,567,302,087,930,655,889,020,717,218,062,226,591,474,927,
733,527,376,773,757,529,673,629,963,940,552,381,696,410,019,562,771,085,308,
965,563,677,113,634,304,864,520,881,831,373,514,173,520,264,327,584,347,148,
759,905,829,293,053,108,368,704,024,723,992,412,489,728,177,621,780,540,842,
428,241,597,393,036,818,976,890,840,775,679,597,285,853,996,721,399,158,197,
703,934,535,776,898,574,081,502,655,124,083,905,197,795,357,997,793,061,019,
766,040,502,991,052,510,027,714,520,795,371,773,069,474,971,712,767,025,936,
934,600,493,062,162,890,422,452,455,479,956,601,157,420,566,571,307,720,368,
889,790,379,372,780,178,551,573,475,586,255,251,975,489,607,143,638,510,396,
127,561,025,661,403,536,113,005,478,817,849,233,859,088,839,860,312,808,523,
836,594,778,177,147,997,247,947,584,792,878,277,230,757,947,094,298,029,303,
331,817,080,305,041,154,169,409,450,754,411,969,718,928,014,857,595,729,199,
724,227,281,816,042,553,748,937,378,337,840,482,254,047,014,829,882,987,847,
270,022,546,897,693,536,792,751,356,462,472,208,311,992,928,894,499,209,122,
049,570,011,023,166,134,620,998,375,749,776,376,799,501,619,470,347,328,123,
876,780,418,071,969,520,377,999,141,467,135,576,016,410,199,669,795,349,688,
139,435,835,944,118,193,249,581,350,076,356,731,278,503,876,926,819,589,494,
522,995,788,979,395,246,809,845,822,166,097,588,130,534,946,008,228,621,090,
402,581,958,565,298,052,222,824,676,017,979,823,052,190,990,266,195,770,745,
912,904,172,178,242,066,119,411,606,721,756,107,194,563,138,794,303,768,486,
163,020,576,203,809,600,245,318,654,175,791,637,419,728,869,749,306,197,896,
402,995,892,911,246,716,646,695,302,705,709,990,364,521,928,152,541,501,936,
035,560,885,234,263,943,768,563,393,265,130,307,908,521,494,213,716,346,001,
687,824,275,589,035,625,564,448,050,473,079,055,989,691,357,569,131,566,877,
756,188,229,394,677,165,942,879,318,894,692,097,493,077,196,321,636,600,438,
996,465,782,342,856,443,335,895,695,477,189,144,796,587,870,427,712,513,791,
417,443,771,391,662,877,414,320,186,251,743,397,340,900,916,411,818,097,987,
745,863,588,815,636,910,379,005,130,726,359,219,403,367,923,313,035,233,702,
431,366,261,781,149,944,120,915,735,857,430,857,317,391,746,826,071,138,483,
455,781,473,069,495,808,454,683,879,900,911,527,548,636,540,191,372,941,199,
362,632,780,016,964,320,639,493,550,791,895,672,079,620,839,152,376,504,301,
047,252,691,081,026,211,409,109,787,237,631,805,616,537,964,030,114,250,155,
949,006,014,762,771,797,953,647,018,731,148,848,923,636,733,290,885,457,274,
108,762,502,469,122,383,466,685,779,145,486,738,509,330,134,085,476,516,430,
627,865,900,023,794,782,920,824,458,062,389,218,446,010,727,178,131,259,841,
670,254,136,333,245,134,369,952,307,897,711,795,724,997,383,802,913,588,172,
340,727,558,989,341,024,308,364,773,696,205,928,530,390,087,004,011,583,078,
547,015,493,992,628,848,582,255,696,379,048,811,907,490,380,530,616,183,779,
842,530,987,116,168,317,688,116,480,194,549,295,657,090,013,856,540,591,834,
186,116,001,852,723,611,059,367,382,312,571,597,568,259,605,852,516,450,066,
575,380,107,489,962,266,368,247,295,102,835,379,321,667,166,198,241,095,103,
711,512,707,899,084,518,941,289,071,562,039,914,437,501,759,606,362,567,196,
994,033,156,640,582,994,165,477,652,689,393,428,072,741,063,460,993,031,906,
803,104,205,327,187,694,542,132,565,709,656,241,198,421,827,092,420,494,256,
311,335,303,122,290,400,115,855,997,483,276,989,488,682,693,377,689,504,655,
499,954,740,944,502,952,881,838,094,581,277,971,954,899,898,959,928,166,313,
435,253,582,148,184,862,305,880,035,761,417,773,921,486,772,306,886,861,624,
004,250,945,786,179,875,438,040,570,994,430,296,603,630,137,040,960,626,721,
037,314,469,016,909,906,776,827,219,981,259,029,851,556,592,795,819,732,365,
001,296,261,453,071,252,242,533,796,256,725,828,397,607,206,090,525,499,087,
483,728,140,445,357,222,101,840,199,784,007,381,257,292,710,853,001,173,681,
946,241,128,984,838,489,673,398,547,515,852,464,155,017,915,362,003,920,265,
703,862,360,021,898,418,221,561,594,911,518,669,081,832,187,604,502,661,774,
361,246,758,501,295,056,929,111,509,688,581,243,978,657,249,661,895,355,583,
126,403,652,012,202,247,314,941,152,474,974,195,730,681,111,308,235,902,944,
183,626,497,972,901,860,011,616,005,178,932,643,329,186,230,210,659,745,870,
345,525,335,454,853,819,418,080,582,008,298,278,435,791,324,495,075,397,535,
836,860,722,732,602,959,343,700,399,479,118,713,524,349,481,544,603,093,612,
203,646,624,162,795,747,776,251,582,675,788,394,838,256,537,312,625,522,195,
759,527,129,223,939,233,067,450,762,871,151,502,294,720,335,723,474,350,391,
539,585,167,657,332,244,634,256,028,950,806,026,464,981,961,272,854,049,977,
673,010,469,069,904,246,968,814,740,808,909,183,530,834,877,850,906,579,314,
328,665,886,271,874,743,880,664,218,531,212,209,837,939,628,205,898,462,350,
062,828,597,743,580,969,704,153,454,378,680,538,937,797,963,904,964,776,803,
776,816,119,714,848,748,446,905,303,144,148,626,675,403,886,423,716,428,440,
725,312,689,660,414,441,199,467,605,232,520,951,736,361,060,151,946,873,465,
228,627,968,372,085,330,972,101,859,011,406,725,305,247,779,165,274,801,327,
746,588,363,312,139,573,883,818,102,930,391,449,898,933,315,741,391,320,039,
194,786,065,891,751,859,647,912,255,036,405,904,242,450,744,860,059,659,452,
428,137,717,031,643,887,427,165,234,699,662,350,578,330,789,721,418,237,371,
734,706,815,863,218,873,391,467,988,827,488,403,539,197,704,104,179,729,571,
967,020,703,828,773,042,154,117,376,345,400,946,791,203,622,197,293,931,934,
672,496,617,099,022,672,971,642,387,445,443,260,304,459,708,401,380,059,714,
026,676,765,976,694,464,416,881,606,330,006,531,624,087,476,623,736,652,880,
703,982,119,358,375,964,347,332,218,679,924,224,295,675,192,626,370,166,864,
388,508,309,789,154,631,708,691,493,648,925,650,856,711,271,453,433,294,840,
971,960,896,855,648,157,884,169,219,114,016,159,049,934,004,299,440,098,836,
462,421,164,704,930,806,469,317,764,813,948,211,565,161,319,416,559,119,755,
863,643,462,627,205,853,128,586,039,661,273,779,049,906,422,674,427,370,900,
735,103,947,611,308,533,670,312,506,704,666,769,743,641,564,440,539,382,463,
378,945,238,715,971,957,299,392,363,516,476,722,059,439,118,043,655,206,624,
365,558,940,427,092,644,971,318,639,296,168,626,868,518,313,009,091,314,105,
384,323,800,111,712,772,825,669,142,793,208,104,959,960,323,394,827,424,014,
102,887,086,747,216,290,340,724,029,107,574,206,128,638,198,881,644,528,992,
775,512,978,105,803,032,485,724,467,107,399,871,618,689,933,084,804,900,718,
731,081,671,419,589,290,709,589,448,455,956,331,776,593,847,466,707,981,407,
128,740,064,047,854,703,446,672,145,057,713,260,315,058,096,212,660,957,554,
578,713,628,971,582,725,033,586,177,919,891,073,979,642,737,345,758,841,281,
389,632,167,854,960,418,160,837,882,730,856,777,699,290,182,375,511,629,108,
649,336,945,050,646,371,288,273,188,132,377,192,600,683,593,957,098,773,175,
945,629,329,957,692,881,426,773,858,608,938,523,052,926,517,613,493,134,737,
080,673,218,905,795,086,874,250,224,434,076,494,956,828,706,887,250,907,718,
464,029,487,543,313,833,621,517,507,460,009,089,745,288,423,440,012,233,339,
807,511,518,377,039,150,465,879,633,989,640,825,168,253,603,193,054,505,872,
409,824,388,240,109,976,089,387,031,434,668,461,268,054,540,315,410,371,621,
487,426,150,279,691,483,345,312,400,530,425,281,449,407,163,592,512,031,515,
399,287,765,202,303,211,997,884,041,769,361,803,649,592,021,926,163,668,656,
908,618,858,871,765,637,525,515,623,791,745,520,078,454,480,652,286,554,419,
562,134,559,038,425,316,322,133,942,400,532,493,722,774,944,261,218,581,186,
542,568,765,980,353,124,905,440,896,963,362,364,784,031,156,837,714,289,385,
942,839,052,310,092,660,148,081,740,110,134,049,223,251,210,648,305,223,957,
328,542,273,701,775,576,289,859,778,275,462,536,066,218,171,864,307,727,494,
523,414,753,466,824,839,342,443,549,080,771,034,126,329,944,873,717,160,265,
897,399,428,387,711,429,535,248,648,048,903,314,449,457,705,980,634,193,314,
885,308,972,670,808,825,476,921,453,681,418,248,129,890,744,308,705,167,208,
708,896,534,553,157,383,298,270,712,174,204,645,554,428,139,068,002,900,414,
530,461,834,578,976,966,719,860,153,654,662,149,947,106,548,915,822,247,090,
096,170,348,689,771,833,986,527,695,445,948,065,092,684,705,168,912,632,061,
404,972,030,745,796,703,100,165,161,246,945,779,295,955,041,832,585,834,235,
884,335,794,566,935,464,806,070,846,317,496,393,661,140,153,969,769,722,966,
983,143,226,238,830,012,968,734,866,923,810,250,473,478,350,500,602,564,220,
000,198,085,076,613,712,626,380,947,887,149,660,474,200,567,636,291,065,615,
845,450,324,171,364,717,960,508,581,226,148,093,918,329,720,567,998,178,286,
090,706,468,266,401,863,621,440,016,109,350,699,747,130,755,419,029,506,432,
332,858,344,665,112,764,846,182,985,255,957,780,873,411,722,945,660,839,896,
254,878,158,063,164,250,480,936,033,670,493,425,393,293,178,237,260,585,864,
351,316,422,118,394,085,369,296,852,614,214,674,239,639,309,628,866,397,045,
370,016,330,293,722,698,778,179,716,544,654,075,541,764,929,528,991,228,067,
740,349,859,398,594,442,373,262,374,335,056,412,150,200,285,423,443,756,900,
982,288,574,033,318,569,677,502,453,068,040,087,345,657,451,053,951,550,252,
893,694,679,299,317,728,502,120,036,025,148,598,590,998,764,402,071,157,321,
524,103,049,619,594,055,495,316,635,927,243,031,907,477,858,774,908,358,457,
021,774,751,105,333,198,369,045,731,127,713,346,463,496,508,241,641,942,153,
272,699,085,876,330,919,646,922,895,919,955,595,823,583,460,355,046,541,951,
779,974,171,629,737,306,643,642,801,585,700,161,989,013,182,437,107,124,007,
565,047,272,153,375,995,009,271,187,963,087,990,906,614,618,877,381,722,592,
761,077,951,740,005,823,574,275,393,089,172,648,109,269,832,618,826,380,563,
837,525,437,421,939,710,279,443,253,464,355,230,511,933,289,525,472,375,141,
544,969,520,785,553,959,898,771,418,638,966,135,698,064,320,848,847,596,274,
891,317,376,290,033,561,997,199,890,312,002,449,836,763,195,980,260,000,023,
842,287,946,113,549,915,211,231,597,690,322,962,910,405,553,081,656,853,821,
277,499,441,411,826,887,979,594,193,597,160,847,033,151,060,849,544,327,176,
670,830,678,172,648,637,620,931,194,060,907,692,072,038,570,078,207,878,333,
677,332,053,484,492,038,759,763,577,779,853,059,827,035,659,656,491,526,120,
977,649,018,779,248,391,505,321,413,356,752,235,831,601,966,968,706,234,787,
934,854,504,221,514,752,046,614,557,805,465,346,092,869,424,343,854,069,794,
454,331,924,758,415,876,755,953,814,214,663,509,812,844,129,848,599,450,468,
931,505,187,009,175,317,832,483,225,799,033,747,875,189,063,374,842,022,467,
709,382,908,897,176,692,231,306,069,699,508,179,628,464,865,602,512,307,802,
749,839,824,470,178,066,478,366,909,750,372,045,978,148,280,772,408,823,135,
532,243,377,606,222,289,282,469,384,012,740,958,886,793,664,543,426,358,371,
323,746,661,203,842,436,762,894,073,564,106,487,556,658,402,206,836,254,631,
707,987,046,060,903,379,646,060,689,148,149,271,442,199,578,882,669,178,835,
401,345,372,785,081,169,695,200,968,686,187,201,594,747,911,010,307,151,839,
649,366,184,957,991,132,981,101,613,095,571,848,615,284,236,294,772,075,038,
308,253,262,852,944,343,096,402,324,009,311,534,337,399,399,841,931,558,559,
371,626,394,375,092,067,948,336,525,714,278,536,726,007,896,423,218,856,778,
268,553,224,271,861,238,458,267,392,548,484,050,263,221,333,052,862,439,936,
490,780,606,009,682,127,336,810,571,667,626,918,136,253,949,577,610,661,792,
970,314,463,537,507,406,826,994,504,745,706,654,755,600,390,889,818,997,882,
125,000,269,065,704,153,447,495,159,841,665,937,222,319,300,471,077,350,903,
522,191,886,010,948,261,524,085,281,849,402,997,397,189,821,473,243,455,681,
644,050,339,985,249,964,749,073,297,098,584,260,345,376,248,322,431,163,099,
321,220,112,139,499,326,240,577,520,824,852,843,614,685,508,347,036,113,107,
363,642,576,089,454,821,231,626,960,124,379,168,570,136,900,946,710,094,946,
013,903,011,096,301,208,129,111,308,947,028,345,302,602,146,857,644,490,920,
801,902,748,461,020,872,881,274,291,933,672,560,889,557,742,334,545,009,672,
242,578,113,385,220,099,359,514,119,943,381,944,839,908,109,851,635,225,742,
487,791,045,900,577,528,116,527,557,518,174,459,828,468,684,474,253,533,059,
362,059,108,297,212,306,793,300,912,069,550,150,283,638,066,622,949,539,464,
687,011,841,088,449,703,976,411,930,860,245,892,472,375,287,630,471,318,663,
708,223,679,322,306,296,193,831,708,572,265,403,562,767,423,960,653,640,576,
016,132,091,567,702,991,659,331,240,608,674,297,499,996,490,202,148,623,718,
700,360,782,166,381,767,242,500,060,891,267,634,910,107,770,418,517,667,572,
183,055,900,623,497,556,904,421,463,230,631,069,329,340,400,379,931,825,787,
967,138,182,987,965,574,069,270,443,187,198,984,735,965,188,328,698,520,638,
191,190,385,826,657,230,472,179,827,326,678,222,248,726,512,781,022,514,552,
086,241,963,088,461,798,772,352,773,019,045,995,102,857,900,507,215,198,201,
877,131,701,945,479,750,569,479,186,054,706,483,269,578,690,153,803,752,447,
311,963,654,038,205,148,781,343,015,690,814,633,235,075,134,512,307,323,069,
267,640,531,514,630,971,053,056,996,414,444,808,257,962,900,375,672,445,098,
178,791,933,987,545,029,117,197,629,099,565,923,263,946,075,751,889,890,946,
612,730,484,650,671,468,799,929,496,204,222,322,490,120,552,391,184,858,698,
318,324,529,877,776,306,427,223,357,159,896,099,902,024,788,545,210,195,306,
785,118,686,826,130,096,287,418,655,795,398,543,963,762,263,776,643,236,201,
504,958,816,837,032,845,060,580,873,800,048,473,104,137,770,597,944,266,171,
252,391,752,386,256,832,292,242,177,734,121,885,597,928,436,241,574,380,769,
366,674,916,501,004,328,120,312,603,625,316,998,810,872,943,710,405,218,999,
879,870,803,515,894,384,870,402,857,990,918,035,340,029,194,635,057,499,320,
557,719,774,478,608,753,491,327,040,110,756,662,780,675,210,162,980,387,045,
231,957,683,975,209,437,595,727,056,211,021,040,890,773,850,937,755,206,590,
890,796,405,458,550,372,302,930,060,381,374,339,569,912,633,697,974,459,710,
679,027,713,968,589,650,533,347,482,876,357,563,601,443,559,177,825,646,397,
126,188,741,333,068,444,283,227,156,080,457,912,375,936,745,535,302,021,945,
618,487,966,734,526,575,848,175,808,469,145,077,431,624,462,336,035,526,163,
389,201,397,742,474,617,538,017,171,535,415,812,673,302,551,397,993,069,662,
665,633,105,471,358,518,559,574,260,886,145,846,988,566,397,781,181,399,880,
255,428,068,965,915,180,140,399,332,652,862,434,233,988,401,006,469,378,435,
505,729,417,146,175,357,321,731,079,523,453,999,117,203,287,588,368,280,799,
545,168,289,649,934,621,535,565,372,042,852,843,829,141,324,845,193,573,844,
540,706,821,552,800,346,233,104,372,185,291,899,615,408,957,998,325,073,821,
776,403,488,973,267,054,530,770,328,065,351,515,879,638,625,223,839,460,819,
925,341,393,909,971,836,703,619,185,163,095,272,876,113,996,627,497,074,747,
577,638,968,300,016,315,791,807,730,526,046,032,921,525,275,305,122,206,854,
097,682,944,324,446,696,936,058,105,923,633,783,526,503,703,224,130,998,279,
060,894,310,854,475,179,995,210,944,119,503,988,881,295,732,644,616,731,490,
520,065,047,006,849,712,271,978,592,118,170,160,610,233,530,148,243,065,892,
197,317,849,700,567,778,772,502,122,143,443,610,672,648,879,239,887,242,470,
211,786,571,680,331,626,387,072,062,898,520,681,528,589,967,914,498,708,561,
770,354,481,285,282,542,281,750,579,886,333,096,929,633,279,247,328,072,101,
493,589,617,832,300,366,824,835,731,360,345,988,380,899,118,344,055,415,973,
424,039,564,619,393,955,862,254,305,220,332,319,740,747,634,521,483,350,973,
561,912,856,178,920,957,693,572,804,112,537,135,858,505,521,650,266,415,684,
030,420,011,201,004,355,671,180,825,988,870,488,312,633,806,862,183,981,039,
517,835,609,258,876,246,308,027,923,441,518,099,726,448,299,089,411,804,241,
831,721,185,555,968,784,728,159,153,141,698,039,397,962,104,708,840,549,143,
964,985,308,901,198,566,174,311,789,817,473,740,210,559,021,989,804,138,414,
636,970,313,684,331,859,839,690,926,604,570,664,910,067,085,938,112,800,024,
927,819,358,100,025,776,886,065,857,119,559,811,517,002,714,156,853,310,576,
348,875,190,250,865,262,005,786,123,437,831,665,762,028,237,373,435,131,873,
608,342,958,143,535,144,252,411,448,087,437,077,164,781,397,203,998,232,544,
556,054,468,284,417,658,853,275,294,774,576,458,436,395,182,005,214,859,257,
304,237,259,887,212,485,639,933,521,614,311,895,400,716,248,749,846,529,419,
861,807,679,405,397,018,596,127,217,077,899,501,247,569,825,985,008,206,203,
186,339,343,196,561,163,170,342,222,122,797,132,523,738,207,525,866,938,910,
491,702,644,275,751,973,717,379,234,847,484,917,516,107,665,890,659,690,983,
257,058,467,021,357,977,570,794,843,803,712,961,971,101,809,500,974,405,545,
454,529,906,481,393,916,004,262,550,797,107,877,617,855,338,652,886,456,495,
772,177,262,203,808,167,982,745,082,491,444,017,476,124,850,416,906,261,553,
131,228,459,992,176,953,390,040,412,057,548,297,626,494,128,231,584,818,850,
542,501,872,035,887,609,667,508,876,726,676,101,282,222,124,227,739,016,410,
659,247,939,940,019,590,535,863,295,882,937,229,943,884,208,502,043,821,176,
579,180,711,122,805,287,346,274,174,189,721,586,701,612,187,419,149,449,616,
181,111,174,531,071,331,025,170,882,590,388,222,770,471,608,766,642,316,496,
048,528,706,703,807,833,598,005,201,743,813,396,981,824,917,035,822,715,122,
807,832,401,834,278,755,545,364,236,465,783,507,652,063,703,336,159,156,226,
236,929,485,112,542,401,878,964,421,910,812,393,631,243,609,435,071,743,510,
186,064,224,975,242,789,565,558,206,561,754,494,783,027,843,408,185,698,416,
975,049,074,324,041,028,073,388,560,783,613,272,635,884,848,564,049,886,882,
995,680,879,572,870,693,752,767,242,130,681,896,742,126,968,161,627,309,780,
965,322,752,704,950,963,140,962,267,087,187,274,886,974,588,276,092,727,879,
693,059,652,387,323,702,612,820,685,849,484,418,953,741,815,021,749,765,264,
213,856,370,512,632,166,447,050,313,863,431,448,147,555,197,679,990,704,351,
306,889,710,547,639,841,451,586,396,193,957,553,211,683,215,947,958,980,493,
858,680,958,955,153,125,327,186,949,872,536,189,626,493,986,433,309,971,955,
827,920,074,861,710,254,288,839,312,393,852,452,239,665,883,498,611,325,803,
464,431,870,785,305,051,053,008,417,699,211,750,539,233,236,790,209,190,360,
553,974,444,002,481,194,881,318,273,141,300,182,629,870,080,306,465,449,735,
372,800,807,142,263,891,463,469,009,951,433,444,519,485,577,961,756,124,526,
250,686,169,098,203,982,141,590,437,459,180,715,339,580,046,320,470,678,475,
497,321,421,460,249,371,747,746,339,948,625,252,355,309,622,001,326,565,202,
988,233,103,348,609,842,379,769,689,840,070,988,192,140,578,742,812,999,256,
594,338,696,701,444,013,902,587,538,788,007,182,059,673,358,576,809,506,092,
903,486,694,689,328,336,242,583,763,662,831,647,972,055,173,545,266,681,423,
360,245,574,253,532,446,288,845,358,028,421,518,619,411,504,404,999,961,632,
167,285,618,079,586,625,205,737,465,122,180,926,153,365,702,732,453,594,622,
025,273,653,722,903,666,225,901,090,399,977,885,575,292,538,791,881,129,664,
732,086,271,756,302,826,336,854,741,910,057,085,915,015,986,720,327,078,486,
488,483,965,671,918,333,762,093,917,155,943,966,015,821,404,515,967,404,559,
512,515,642,731,038,995,085,858,834,749,594,668,269,668,200,911,586,601,807,
462,319,905,044,891,834,497,755,452,837,569,619,566,860,792,118,156,617,700,
347,533,193,999,794,764,666,038,075,059,482,168,661,350,952,121,668,159,925,
249,483,047,297,401,616,428,960,173,314,280,039,399,459,207,538,537,896,914,
345,553,149,350,875,789,083,452,206,362,444,421,039,590,906,200,296,118,379,
006,860,286,658,701,174,902,512,363,911,347,807,181,255,227,673,947,402,078,
222,931,120,401,663,473,387,477,876,483,047,709,912,741,146,040,026,673,598,
646,901,220,434,292,230,655,693,008,499,074,659,882,075,678,173,995,345,091,
867,027,767,973,714,128,379,800,810,224,837,876,898,201,125,230,597,175,679,
954,035,653,445,348,569,585,496,855,557,199,973,222,743,777,940,591,677,688,
774,731,392,501,992,473,063,367,951,025,795,365,015,714,018,586,437,921,037,
898,591,715,289,808,725,451,025,655,349,750,657,957,221,817,584,293,425,238,
162,877,217,705,369,752,621,783,196,029,786,433,239,888,330,822,344,236,321,
812,263,654,105,807,831,200,791,203,124,235,378,798,696,364,344,281,693,454,
230,738,334,189,953,752,652,392,837,976,710,620,564,675,617,097,335,850,693,
243,538,702,777,110,262,422,886,739,743,661,894,391,068,068,941,684,983,662,
027,370,874,410,280,640,180,856,851,154,931,276,656,808,733,094,479,198,732,
043,821,365,438,084,728,373,515,603,962,179,054,763,688,586,502,790,451,178,
869,482,762,650,183,087,985,531,162,637,825,918,790,796,733,132,929,736,416,
820,899,859,488,300,196,829,400,481,713,251,700,959,576,750,676,682,556,165,
303,802,366,764,842,956,100,469,301,777,831,701,416,409,372,471,979,518,858,
767,652,867,262,828,361,732,129,744,831,968,872,295,245,420,446,942,655,157,
318,564,612,887,605,220,787,399,021,774,040,917,766,322,348,972,561,053,797,
507,464,593,522,112,815,150,059,394,471,784,983,288,343,544,571,102,375,591,
313,426,452,101,936,383,149,471,909,812,750,980,020,944,767,108,875,176,776,
490,107,074,043,802,192,145,506,078,122,324,239,101,568,614,056,508,082,809,
436,700,334,609,771,967,811,660,815,925,971,837,419,346,800,863,767,392,009,
318,656,826,715,574,076,058,307,326,384,665,413,516,569,237,783,056,100,529,
556,661,482,760,567,067,496,936,649,780,175,699,842,611,661,420,946,123,857,
101,804,051,862,224,786,252,859,438,887,458,670,502,431,740,899,567,618,893,
968,003,024,572,420,044,757,290,827,553,911,051,931,288,796,170,319,828,308,
213,075,146,380,041,097,440,440,698,697,074,347,342,305,616,427,722,094,899,
029,646,349,775,687,914,449,428,756,629,303,175,930,438,873,622,876,260,976,
923,431,326,151,838,979,891,303,620,650,686,421,114,353,934,720,369,576,052,
381,045,002,230,890,826,537,130,295,063,840,742,084,489,315,352,659,473,130,
301,145,501,930,990,669,111,410,956,507,720,507,407,767,000,748,093,170,117,
454,915,159,334,955,115,969,218,768,705,052,593,198,047,885,859,699,236,907,
735,265,680,132,329,121,632,640,746,152,151,113,725,189,674,455,197,494,427,
644,821,924,199,939,375,264,438,021,351,244,250,868,200,222,402,677,279,374,
055,958,457,224,413,361,533,147,131,087,650,311,140,482,392,291,800,247,688,
393,614,672,682,741,541,102,175,009,724,898,952,094,444,263,530,402,153,018,
143,703,100,489,102,228,699,483,403,608,273,157,402,676,516,590,455,772,659,
762,443,440,100,126,306,020,382,634,206,484,844,597,902,902,093,094,807,307,
241,116,211,723,272,626,228,744,272,485,918,244,540,841,497,719,183,951,997,
256,078,305,930,772,509,532,284,693,944,262,160,060,069,222,936,552,559,691,
592,290,942,193,066,189,113,088,185,017,772,266,385,946,175,941,529,066,042,
129,297,995,361,209,021,294,839,808,003,321,084,038,480,459,080,869,353,123,
452,189,420,411,258,515,211,235,600,331,536,599,912,393,380,429,245,385,698,
154,930,918,716,521,448,817,452,503,220,960,207,326,656,234,347,476,679,874,
977,952,983,537,671,886,145,334,897,344,859,613,764,976,725,204,156,120,273,
582,314,965,378,854,394,855,255,274,939,722,673,864,677,348,397,773,128,911,
131,582,495,988,488,852,520,791,230,902,175,409,733,917,432,771,869,703,373,
565,254,663,420,256,820,293,374,219,836,340,373,732,427,366,787,331,814,278,
905,986,724,841,836,605,073,221,787,534,123,521,394,392,539,845,587,411,764,
333,611,293,524,620,897,330,671,487,612,309,024,121,249,660,315,404,494,421,
228,810,698,313,870,746,883,683,716,769,830,920,293,250,991,689,228,451,598,
205,556,535,015,538,083,216,738,022,308,469,700,310,368,450,178,558,387,109,
267,470,293,693,500,834,084,240,103,933,807,550,076,773,643,807,201,122,210,
754,900,893,174,587,188,380,169,678,881,449,671,007,912,632,642,236,064,022,
536,386,120,656,742,332,357,966,677,961,056,419,932,035,941,928,449,751,222,
594,249,194,594,418,910,087,385,735,458,553,848,089,410,555,876,201,552,748,
415,648,996,922,056,119,138,324,155,450,322,072,799,667,181,421,796,995,816,
386,121,142,065,303,950,835,530,030,253,115,045,486,972,348,190,269,409,821,
571,838,539,343,221,967,723,594,344,841,287,238,844,890,410,116,061,771,155,
366,690,102,561,498,074,905,560,011,526,242,002,538,926,771,745,663,302,433,
595,506,316,230,336,391,538,975,923,916,030,175,250,670,336,777,846,788,108,
426,774,492,853,799,541,439,105,197,743,917,360,181,233,610,116,409,006,735,
427,376,306,487,985,169,839,866,091,374,748,162,959,720,014,566,718,406,020,
229,035,309,615,128,540,079,049,891,653,703,347,784,545,736,275,710,182,901,
857,944,473,846,496,716,107,832,103,174,509,362,370,954,110,508,458,438,395,
138,750,192,257,560,916,415,508,434,935,158,926,202,154,156,584,828,379,256,
998,762,087,138,663,541,471,930,456,023,912,451,277,792,110,506,479,833,619,
217,327,007,647,018,907,502,895,159,997,138,826,596,347,976,035,553,606,277,
336,650,540,709,628,001,644,522,335,949,928,203,725,270,727,368,828,949,921,
413,727,792,655,856,483,845,341,654,245,280,407,071,811,298,794,291,554,042,
478,430,756,247,908,564,821,269,527,324,624,428,423,457,587,182,475,529,081,
367,420,456,222,377,867,686,311,649,095,244,674,108,398,444,374,384,243,734,
250,905,555,034,184,440,279,000,868,358,023,201,516,351,424,958,757,687,288,
671,697,460,095,624,034,391,328,329,555,484,580,371,994,648,399,434,882,197,
035,875,350,105,822,310,491,481,975,781,267,043,801,528,059,380,723,622,424,
772,512,874,717,199,318,284,133,321,960,506,773,577,139,178,168,541,724,785,
782,868,522,019,238,763,975,553,560,339,620,035,778,604,748,561,466,530,154,
619,295,661,492,098,311,609,676,273,216,316,578,329,183,554,295,920,508,441,
865,206,562,707,284,361,983,185,658,210,125,512,379,751,637,142,730,147,138,
313,785,056,011,340,206,393,806,687,285,137,462,021,951,234,294,217,261,094,
657,472,946,119,893,649,745,330,077,024,536,896,626,164,052,854,155,368,509,
326,142,717,529,708,898,447,527,659,260,738,344,424,598,631,409,127,081,008,
305,457,335,082,833,981,659,282,385,287,278,946,550,490,558,939,124,794,455,
401,303,974,966,534,194,094,833,025,152,130,532,100,743,596,783,666,532,874,
031,004,708,317,669,132,050,651,350,229,180,233,440,842,236,423,465,078,813,
685,784,994,075,918,452,002,528,658,111,913,450,578,306,734,436,197,322,542,
813,240,005,176,438,462,896,832,012,833,084,804,050,393,410,035,392,069,131,
082,627,772,825,928,895,406,031,984,261,783,404,212,959,989,668,735,261,612,
821,250,096,064,352,039,827,007,144,389,331,464,420,445,877,430,333,796,404,
052,607,372,889,661,774,062,147,560,298,968,336,767,444,808,705,431,378,416,
869,713,802,455,331,799,661,563,024,479,319,331,318,369,871,955,930,679,980,
176,250,572,747,084,357,488,250,920,106,142,046,313,572,544,791,207,657,328,
285,951,765,980,344,185,213,449,873,875,144,655,004,543,300,797,240,520,058,
331,088,629,086,613,791,777,720,147,162,668,125,659,875,757,937,454,858,516,
149,116,104,986,070,246,553,182,843,277,564,173,932,517,589,873,956,205,033,
261,014,488,769,098,348,294,012,988,807,765,610,855,022,032,345,083,731,081,
738,273,677,908,892,689,443,209,985,762,631,959,517,711,546,008,399,696,652,
572,912,566,403,746,348,603,001,922,061,403,034,716,797,307,368,909,479,666,
435,228,780,427,417,467,677,999,369,758,713,838,911,589,700,592,231,790,214,
306,359,037,521,807,556,886,686,202,872,958,922,561,847,320,007,195,084,504,
501,016,940,378,168,731,799,948,037,033,084,998,098,289,449,670,104,513,105,
746,981,744,417,818,349,441,419,525,787,936,736,162,608,488,907,845,653,331,
673,281,904,501,263,685,042,595,069,383,318,390,228,269,603,499,734,674,200,
208,962,170,683,632,923,984,844,657,556,348,767,928,634,749,083,859,982,707,
608,168,965,968,248,756,194,412,179,259,645,484,702,313,953,123,048,979,911,
153,862,987,914,196,753,194,815,033,291,686,327,036,634,353,221,006,264,039,
731,106,985,563,926,117,626,018,260,103,833,314,522,009,706,714,848,401,200,
866,366,079,414,037,300,497,607,549,608,176,446,529,529,247,574,483,813,390,
955,679,910,421,483,976,278,318,765,316,137,764,895,787,810,971,267,512,778,
155,698,171,837,196,196,480,653,866,621,854,972,621,438,007,276,140,166,774,
907,258,561,648,715,209,480,855,060,706,228,133,918,999,908,506,443,974,274,
262,664,028,553,978,010,944,237,657,454,717,245,819,422,315,149,564,559,197,
783,018,713,746,048,989,168,583,069,161,022,741,365,035,078,488,503,503,464,
536,769,709,451,569,537,485,990,205,521,545,470,292,423,844,398,905,329,367,
595,121,717,422,539,444,533,468,315,643,737,701,750,455,014,459,649,718,915,
597,330,276,854,431,099,532,269,760,820,214,695,283,925,178,771,359,176,888,
181,193,005,440,269,536,365,942,860,948,110,391,551,886,986,602,102,567,159,
195,468,735,139,119,590,709,222,090,487,872,383,378,038,366,744,929,648,888,
286,326,114,250,256,482,647,423,238,169,465,949,558,951,853,751,758,126,735,
853,646,527,913,982,715,473,408,369,585,792,031,299,988,152,605,482,966,353,
668,211,635,368,817,716,080,610,181,371,448,533,168,490,554,777,408,386,710,
141,694,765,125,827,667,894,509,266,927,043,003,298,075,126,647,561,348,488,
315,973,023,730,427,901,020,028,255,018,196,406,806,126,240,109,321,206,220,
909,037,832,440,328,883,166,922,608,944,309,376,916,937,445,241,981,478,772,
736,059,888,819,228,258,974,986,455,435,386,022,740,326,928,348,652,996,581,
840,248,803,858,937,048,425,499,662,143,817,394,131,733,167,332,282,762,258,
655,086,734,250,633,213,464,872,122,369,187,035,794,145,741,900,300,345,200,
299,434,177,268,797,319,843,814,819,589,802,415,530,604,465,761,037,346,975,
037,932,944,828,886,785,618,074,339,832,407,958,431,658,659,512,893,964,237,
095,656,837,213,872,646,475,800,008,384,758,703,581,196,199,970,694,819,312,
803,914,776,169,697,895,556,252,358,551,476,188,611,329,579,968,007,682,727,
135,146,990,789,720,076,638,608,276,802,630,820,804,864,740,659,095,160,769,
097,771,649,596,580,053,822,226,196,519,583,571,035,863,394,899,381,825,998,
851,917,862,764,231,419,980,703,338,167,429,448,852,840,136,909,221,664,319,
442,589,319,935,320,957,848,380,109,406,830,563,140,865,434,898,309,667,422,
413,903,732,521,561,399,319,047,960,591,569,266,657,415,597,250,405,849,265,
159,837,805,602,468,113,372,828,301,193,427,696,921,306,460,315,779,784,108,
990,502,844,406,272,917,325,162,859,923,930,328,191,540,828,112,408,910,722,
060,476,487,900,244,551,554,840,957,827,559,346,219,943,882,742,545,537,764,
913,793,742,071,947,160,693,702,485,095,361,517,175,038,959,118,424,380,057,
301,584,712,095,009,290,701,352,490,060,010,275,493,080,334,154,695,591,231,
602,458,204,853,294,825,008,773,261,505,979,621,123,603,275,565,089,633,024,
749,306,318,628,558,077,644,912,112,352,911,095,304,475,246,135,919,098,200,
943,288,078,530,830,795,248,994,363,790,954,883,203,628,061,739,305,191,350,
385,363,034,901,258,241,853,314,788,508,943,525,021,396,398,919,477,333,607,
573,885,623,584,886,229,104,140,278,784,887,370,970,690,792,788,789,448,557,
496,447,253,262,156,777,307,793,481,551,068,759,104,577,250,332,401,370,653,
684,619,838,848,162,544,077,013,541,221,323,746,558,989,917,910,375,259,339,
195,772,358,352,164,563,460,820,983,659,356,478,387,190,728,006,756,228,074,
249,285,023,315,882,695,534,870,641,828,552,791,645,008,784,539,605,973,200,
530,301,890,159,107,114,437,524,269,244,064,469,336,561,241,450,723,687,602,
900,175,505,970,393,470,515,248,150,545,289,619,704,334,569,555,205,618,447,
671,485,016,700,071,860,406,576,386,547,158,880,739,477,439,461,064,297,192,
342,157,605,690,773,794,464,555,823,527,958,631,870,132,395,610,737,601,155,
825,307,828,070,363,828,337,694,208,337,284,963,570,463,999,859,068,874,158,
193,229,681,460,638,973,559,610,692,811,858,774,801,860,961,072,924,048,954,
277,599,404,265,546,672,901,246,940,402,567,904,455,410,307,307,562,463,730,
656,939,890,615,460,447,984,868,666,473,368,916,375,056,112,567,441,233,404,
440,044,548,003,944,224,300,698,866,679,545,805,812,624,665,525,875,396,645,
801,987,666,627,007,735,644,706,010,406,748,743,121,175,338,294,731,040,735,
297,775,302,081,375,520,714,334,163,604,327,761,895,751,882,769,747,168,015,
697,824,740,131,210,423,299,329,499,294,675,535,782,096,332,369,501,335,446,
363,624,670,991,209,180,108,594,704,705,502,372,125,067,497,776,291,471,540,
052,020,112,716,710,335,819,053,049,636,460,616,693,823,456,126,926,731,347,
090,448,206,717,191,811,612,904,703,584,023,926,475,743,914,636,050,742,180,
452,645,976,645,848,865,397,782,351,577,681,088,090,744,094,066,295,296,071,
882,399,156,771,832,391,414,115,520,731,679,506,669,360,863,253,053,376,361,
580,700,301,497,818,184,854,899,398,609,528,953,923,846,947,575,504,559,125,
226,626,803,569,816,064,889,759,115,063,530,241,854,673,378,177,685,193,990,
442,132,635,027,785,247,897,601,019,730,698,225,013,827,164,803,781,490,797,
256,807,505,703,140,734,417,597,079,488,700,106,309,345,081,151,054,998,002,
455,637,879,447,814,857,593,632,143,045,223,408,150,798,513,891,013,797,554,
784,294,844,281,765,676,533,198,929,203,039,048,001,320,345,372,611,573,999,
065,264,136,024,266,151,835,549,602,239,073,673,458,453,128,563,620,980,100,
752,816,045,525,009,667,791,070,053,812,251,720,707,285,720,272,323,993,048,
288,269,842,289,316,047,489,066,842,092,454,386,126,146,679,526,538,539,980,
080,816,867,136,753,888,560,784,042,450,961,539,484,612,756,331,630,279,706,
979,935,285,671,966,316,495,717,919,224,766,894,737,657,126,766,735,955,412,
150,281,677,579,469,385,178,047,930,818,895,373,821,359,942,973,678,196,920,
922,687,156,493,530,525,443,117,815,758,958,275,526,362,309,311,090,489,343,
280,175,722,913,705,960,461,232,473,844,742,172,166,169,436,426,751,890,321,
318,219,247,563,193,541,359,810,844,600,161,263,064,369,960,763,006,455,231,
239,892,393,326,138,308,620,245,986,054,533,334,699,767,658,234,195,662,987,
642,237,416,085,976,761,321,062,601,952,362,557,882,626,359,408,485,217,699,
718,157,670,319,181,209,522,342,358,093,922,986,168,928,064,458,394,136,559,
674,958,465,303,614,912,118,736,503,637,147,643,665,237,635,253,238,840,546,
987,550,920,803,565,973,155,505,667,176,369,226,495,022,656,705,820,670,479,
389,994,434,735,472,210,261,556,293,242,156,425,581,085,907,329,887,467,592,
788,394,312,654,368,581,391,238,149,177,806,840,703,926,958,159,244,811,611,
532,805,530,190,864,777,391,815,959,464,475,868,726,087,218,595,605,635,912,
455,384,395,305,351,538,656,838,635,361,132,376,040,071,026,382,871,057,587,
144,002,244,658,748,927,286,578,659,176,019,666,695,832,682,061,415,201,816,
195,988,187,869,165,383,790,138,841,477,046,943,942,176,106,950,875,635,494,
170,341,642,956,013,370,930,469,943,483,296,237,026,361,045,931,038,384,328,
814,893,372,777,332,663,542,878,545,153,532,452,642,164,050,996,051,839,144,
456,001,227,810,928,608,118,309,800,721,469,920,591,544,466,643,740,026,444,
237,014,963,579,876,386,175,106,152,027,913,287,148,601,118,672,391,894,204,
988,184,400,172,577,027,409,139,209,105,650,253,099,482,679,851,002,130,862,
491,425,821,058,997,184,122,864,365,546,647,453,097,502,246,332,050,371,241,
378,166,843,431,537,187,275,699,405,875,815,840,077,036,111,315,399,616,718,
314,676,311,275,423,885,329,053,000,875,708,871,505,466,269,730,421,533,743,
761,015,755,238,958,458,625,774,089,980,716,563,896,505,870,093,281,752,116,
979,947,262,933,355,679,131,392,513,183,397,271,635,564,976,343,172,367,629,
789,466,573,447,306,090,560,792,279,860,344,029,379,330,932,395,479,070,046,
719,167,446,132,543,474,224,337,610,638,952,595,133,563,256,662,009,609,240,
323,833,922,100,561,880,731,755,050,349,794,399,419,777,425,012,535,161,682,
423,889,660,804,165,174,741,603,180,862,523,869,633,468,636,594,295,369,430,
308,989,215,997,862,729,099,199,407,856,063,746,099,344,499,745,687,311,196,
198,614,581,013,688,555,437,347,234,555,670,877,413,871,557,631,038,187,026,
848,882,917,751,566,778,531,369,245,656,317,286,049,290,460,454,071,527,414,
948,852,764,760,995,606,213,041,894,474,602,845,807,963,923,084,138,507,097,
963,384,192,648,473,261,715,216,027,792,670,034,547,498,923,099,599,202,048,
049,220,799,836,952,820,814,458,475,190,743,082,577,593,529,094,458,505,689,
580,722,314,001,391,502,103,658,682,147,732,107,426,390,827,352,535,747,172,
864,592,760,871,756,837,603,371,971,762,111,855,114,698,019,637,021,926,193,
480,292,588,510,235,380,784,972,322,127,414,917,074,086,581,775,841,473,623,
745,369,262,816,931,807,470,052,342,668,170,760,385,395,183,635,309,429,143,
719,903,289,840,565,689,657,162,225,739,700,922,244,811,690,630,356,858,393,
063,034,287,085,848,849,396,542,105,886,944,460,295,840,664,375,641,820,650,
198,006,170,222,318,398,954,621,447,852,283,239,980,974,839,791,516,002,548,
877,625,112,582,079,679,991,216,208,339,615,796,271,022,981,842,709,037,644,
007,109,092,345,002,344,275,375,928,091,833,170,939,411,722,800,166,385,732,
290,107,088,977,289,673,158,697,770,093,582,246,673,895,985,568,753,584,068,
727,577,833,954,089,321,732,725,825,227,871,825,875,882,147,215,646,509,372,
308,872,863,043,568,501,429,339,030,305,829,824,161,072,319,127,271,904,311,
700,522,126,207,249,944,028,844,739,543,492,135,530,319,431,168,407,559,850,
022,013,711,129,344,117,755,684,392,824,985,541,026,257,667,666,828,235,903,
044,554,865,022,414,753,817,658,016,790,799,125,327,607,320,052,510,501,868,
459,270,295,352,664,819,968,595,650,499,950,654,204,648,961,916,180,789,012,
245,581,144,924,126,138,078,559,498,938,110,304,401,320,519,307,632,746,705,
073,140,600,538,613,950,313,342,408,881,979,408,490,499,167,516,230,077,497,
902,521,860,405,409,811,051,613,565,132,840,398,302,866,567,589,197,179,956,
634,014,669,670,582,827,417,545,748,231,792,509,633,724,842,229,321,110,273,
015,432,991,748,695,062,173,536,877,320,563,643,344,754,523,096,648,619,634,
010,690,747,194,048,451,251,247,201,918,358,532,135,520,703,812,426,318,044,
678,426,374,193,697,293,527,881,807,641,594,625,873,235,698,570,084,573,208,
402,414,415,259,206,039,966,964,646,999,955,347,986,493,640,236,391,430,865,
619,113,871,708,875,410,042,378,327,597,476,898,942,853,575,471,259,847,323,
407,856,545,483,923,470,523,858,362,597,898,389,730,616,308,166,501,465,629,
295,542,585,091,521,992,990,361,690,042,537,005,515,599,537,719,354,852,998,
932,121,259,006,083,298,877,879,683,514,126,472,608,251,210,024,824,641,521,
290,395,115,618,191,008,054,725,472,601,399,556,724,066,193,141,284,349,260,
839,081,717,242,849,608,452,754,919,762,147,106,854,040,028,664,144,271,559,
114,532,086,327,057,009,108,164,681,792,218,394,683,063,069,158,122,472,939,
080,815,305,618,328,240,609,192,559,637,254,407,438,731,064,616,847,593,838,
653,443,887,215,159,498,555,187,207,539,619,714,804,736,885,618,483,302,648,
458,327,672,660,428,055,169,627,551,210,390,486,400,395,720,131,639,637,833,
575,358,950,362,433,933,295,258,225,790,332,314,440,743,230,827,705,626,640,
590,971,225,099,484,318,878,485,709,583,737,478,600,445,401,337,180,245,292,
367,428,079,291,190,899,070,936,641,391,433,330,231,040,529,605,803,287,881,
594,205,037,022,407,756,612,131,158,360,232,187,557,522,691,767,965,357,861,
016,185,034,666,253,108,631,302,725,842,844,201,852,909,288,344,145,554,203,
189,909,502,174,099,868,271,754,822,467,233,557,615,577,473,366,002,379,968,
921,583,029,354,274,410,176,675,850,177,511,448,236,782,495,784,911,520,996,
783,459,331,902,788,295,789,511,752,303,154,065,508,631,273,356,136,589,279,
550,336,535,413,807,758,484,224,425,695,132,539,381,560,010,479,959,933,751,
790,555,870,837,320,170,987,750,402,964,100,832,847,110,006,971,101,518,000,
336,752,223,962,173,482,660,347,459,482,855,036,510,301,237,228,860,180,618,
443,280,165,522,193,396,587,511,624,821,843,325,324,908,680,467,111,442,231,
277,277,476,687,856,721,872,237,978,210,509,808,129,807,195,682,300,931,843,
319,010,046,344,095,889,910,376,706,859,476,310,985,337,883,309,252,798,552,
102,094,380,984,172,729,335,766,630,015,277,895,148,841,961,582,034,474,295,
770,068,525,404,836,899,392,466,481,903,479,846,265,956,192,235,853,997,991,
836,719,720,496,709,411,440,976,437,927,596,124,020,643,591,681,585,432,948,
870,597,997,532,692,091,485,755,644,605,473,758,613,241,942,063,820,376,171,
588,986,709,810,453,626,436,958,740,013,444,932,622,588,658,466,256,050,463,
864,089,304,293,473,589,639,972,844,173,512,676,247,133,468,476,149,362,565,
797,776,349,159,399,267,043,791,651,940,668,108,882,870,667,479,986,375,916,
270,919,181,746,015,691,212,697,269,551,227,090,595,774,708,788,761,853,660,
449,067,722,734,972,420,062,206,373,815,548,495,582,144,059,755,854,092,724,
784,590,171,404,988,163,477,089,689,926,961,003,417,692,434,835,256,261,291,
332,514,045,030,312,637,397,826,195,526,413,964,612,460,861,852,734,243,552,
306,454,316,312,598,760,565,770,690,142,592,867,902,173,747,740,326,221,353,
133,840,025,754,927,445,237,311,325,522,976,973,202,030,400,395,121,608,493,
950,572,333,245,592,396,046,247,887,347,945,088,095,916,418,960,748,538,703,
572,141,828,497,927,783,613,243,628,959,656,178,962,672,029,825,930,233,627,
785,702,835,058,985,302,733,661,266,540,280,446,475,306,761,145,784,615,846,
540,623,937,069,094,093,561,727,558,894,272,824,531,643,403,968,412,057,008,
077,546,010,840,370,334,537,609,949,024,937,997,406,711,278,736,077,030,801,
224,627,152,321,474,603,423,220,062,419,067,486,096,030,835,085,795,134,778,
090,401,047,347,395,250,199,515,460,694,180,750,683,739,427,513,056,804,631,
312,846,921,297,969,009,773,181,299,810,333,181,700,857,499,059,207,211,656,
826,026,198,447,729,720,995,912,167,428,430,073,189,675,476,591,851,513,120,
571,074,673,449,234,322,513,212,201,202,480,043,125,327,080,786,377,204,531,
591,968,042,103,877,217,011,450,070,956,703,882,397,409,673,243,327,807,839,
700,133,795,810,750,575,285,034,839,528,322,599,863,790,966,085,558,198,326,
068,891,721,110,813,095,479,339,058,077,327,694,959,179,689,880,830,111,670,
666,971,360,989,251,337,386,841,491,857,565,994,187,874,114,699,511,040,121,
997,776,311,016,062,317,908,570,143,094,430,916,777,406,633,353,293,192,592,
851,096,441,679,391,603,527,822,836,593,834,443,119,826,907,334,130,920,874,
858,589,324,385,592,828,476,762,143,163,274,330,911,489,164,623,427,546,512,
167,208,974,501,507,508,996,679,826,379,467,100,703,670,103,136,784,899,244,
246,228,304,856,868,691,332,583,445,944,858,840,220,488,443,669,228,916,408,
601,998,758,618,669,905,094,925,394,871,445,818,352,762,356,449,306,804,618,
322,907,881,637,795,835,796,887,261,517,233,490,468,404,542,763,199,703,976,
586,267,527,934,571,251,840,996,027,246,739,141,989,732,893,678,584,061,705,
618,608,214,536,755,811,711,640,307,059,473,992,951,242,373,889,156,352,943,
751,000,426,810,069,828,911,598,112,033,190,771,289,272,409,679,373,442,282,
844,236,462,556,064,894,027,071,638,722,453,455,797,021,269,789,392,162,396,
598,991,809,690,716,168,889,599,724,874,554,292,785,933,064,678,932,787,005,
402,304,809,007,913,345,798,495,259,962,609,690,031,267,189,965,106,763,106,
936,362,399,623,328,298,385,411,248,280,753,051,126,886,908,064,290,302,573,
132,996,549,711,683,741,497,603,612,569,050,334,080,737,117,194,325,001,628,
905,921,652,441,870,485,693,687,722,741,700,028,436,495,641,534,596,985,345,
488,363,773,098,511,306,000,097,839,857,688,068,347,404,833,549,033,703,847,
822,329,954,982,721,646,975,030,783,882,270,827,202,975,352,476,631,661,644,
811,151,128,325,403,419,428,047,723,362,493,158,008,310,431,485,808,674,134,
793,608,005,561,897,666,630,627,170,510,318,221,072,773,960,036,356,421,974,
307,970,209,824,082,955,944,955,513,310,326,735,373,876,519,241,336,009,251,
922,078,053,771,580,917,682,994,376,989,143,225,967,953,318,804,083,008,877,
250,972,726,143,265,219,627,120,329,392,691,299,014,161,822,082,107,704,459,
963,093,444,492,941,802,366,957,311,160,486,323,511,697,279,346,389,143,099,
958,552,186,033,541,261,446,690,299,927,426,834,004,572,271,608,358,896,598,
051,350,791,699,133,886,924,641,354,618,915,986,888,952,907,752,276,067,531,
831,437,054,645,213,236,511,514,876,128,805,197,906,006,703,659,219,012,116,
943,702,887,257,999,470,194,288,703,663,291,309,966,081,867,646,842,262,890,
984,414,769,527,465,614,844,577,925,136,586,271,864,801,379,476,815,451,925,
223,636,433,488,942,497,017,052,076,625,580,840,190,001,392,811,253,593,146,
153,698,702,697,416,370,441,861,202,646,055,243,356,753,224,384,360,225,252,
686,676,896,678,265,746,484,725,236,063,593,157,387,401,252,957,132,706,533,
504,796,074,271,038,371,452,998,947,108,905,218,356,483,416,665,050,948,281,
537,464,442,556,160,156,067,079,310,283,805,587,109,087,126,852,183,208,825,
815,906,121,574,430,871,733,905,001,385,501,482,980,999,517,840,272,804,791,
226,416,632,089,274,568,839,561,266,602,385,324,064,880,265,882,859,655,193,
359,732,704,026,103,287,865,805,805,848,089,832,910,012,572,239,000,174,670,
261,633,768,403,621,794,403,412,286,235,704,982,028,860,327,001,603,144,599,
455,455,533,354,143,577,588,404,055,410,717,897,889,302,713,480,143,938,783,
866,261,882,257,586,457,599,715,857,795,004,368,141,629,952,712,100,567,776,
984,083,809,470,460,908,274,113,196,084,877,921,007,355,178,142,914,774,640,
269,997,576,639,934,335,140,529,657,651,917,116,612,775,073,008,275,365,670,
762,011,343,442,574,392,965,000,660,244,077,592,606,926,644,349,956,422,357,
164,829,834,731,487,584,907,218,504,297,713,795,514,761,602,987,349,050,566,
590,587,466,503,142,764,606,724,703,439,489,911,505,686,173,398,987,899,192,
133,267,202,902,109,764,313,330,973,385,795,387,868,693,387,617,031,331,469,
411,588,300,356,271,336,825,547,754,059,146,482,120,554,730,622,717,301,104,
517,346,193,473,027,036,160,839,830,661,569,945,458,781,746,962,293,175,398,
460,593,601,126,232,827,342,687,783,647,619,907,351,944,998,737,282,763,631,
166,125,672,454,798,548,144,539,495,835,932,814,258,917,609,509,383,341,915,
899,580,770,577,626,372,965,411,590,486,137,555,610,463,050,044,831,274,052,
310,818,726,229,682,897,629,233,777,786,902,302,257,479,805,691,390,987,414,
882,965,973,640,061,935,541,499,534,892,711,908,974,031,483,885,013,152,416,
951,853,034,901,260,767,162,068,356,107,891,055,943,415,543,401,799,074,136,
119,611,076,028,339,898,459,763,880,378,033,790,179,128,971,083,040,989,506,
431,164,602,201,948,450,721,632,170,652,936,873,491,440,554,571,124,789,045,
470,759,168,103,258,267,475,654,923,431,899,997,770,184,893,104,645,688,699,
976,377,961,553,842,078,730,043,274,635,993,548,559,291,756,094,543,280,463,
240,127,306,435,605,236,022,047,601,131,453,257,145,861,677,398,514,833,731,
685,436,204,989,699,601,634,950,478,814,301,545,883,666,702,269,869,829,310,
323,627,056,441,227,101,834,122,548,963,948,075,451,632,019,780,035,501,944,
530,525,548,856,049,060,146,090,700,083,887,331,505,925,859,074,323,606,795,
293,288,370,594,175,083,951,500,045,486,031,214,662,611,663,401,700,795,622,
406,622,098,446,469,672,887,644,103,750,765,279,569,364,378,317,674,517,942,
503,167,343,660,815,743,710,911,321,937,638,482,493,292,296,508,157,829,424,
710,282,345,485,315,947,966,818,137,594,075,748,757,663,451,424,739,962,481,
367,315,489,239,052,528,314,306,033,648,901,144,617,546,235,795,655,464,931,
253,458,178,091,862,910,549,070,575,478,103,040,802,454,792,037,264,429,019,
337,696,510,930,888,223,669,807,034,981,440,325,800,248,831,517,231,434,706,
566,831,737,983,720,454,436,372,831,240,254,620,530,009,247,240,663,764,203,
769,611,454,327,698,239,161,780,979,400,013,737,064,175,316,662,205,312,596,
393,896,251,809,591,723,830,926,681,826,263,236,473,268,326,286,147,406,538,
072,461,483,409,671,191,839,129,108,615,605,621,578,719,089,424,479,796,351,
304,981,580,002,023,056,346,601,434,031,181,003,852,829,955,313,632,261,369,
825,347,871,088,241,475,506,010,674,562,688,777,076,285,886,901,183,001,708,
661,114,281,375,723,137,964,524,523,047,146,333,433,544,955,223,017,149,273,
586,842,015,491,984,723,981,796,318,367,676,544,157,558,195,514,816,529,354,
743,583,719,027,370,752,871,506,225,407,497,517,981,975,033,301,506,200,149,
800,136,448,615,767,330,773,626,238,541,501,453,460,390,488,773,258,063,137,
247,222,228,699,382,266,454,480,098,942,756,116,718,427,600,847,441,218,624,
953,478,993,840,251,142,964,836,857,609,432,033,900,769,061,727,365,842,924,
498,147,413,923,753,916,837,008,278,390,507,546,507,557,488,399,910,489,430,
057,263,199,304,034,928,249,135,249,205,565,434,073,290,744,883,327,561,489,
803,296,751,238,793,366,771,180,638,717,374,238,744,370,422,554,280,155,711,
925,828,027,171,049,888,776,678,228,026,059,765,630,217,644,697,147,545,532,
680,593,179,104,134,847,903,295,866,454,135,721,775,252,522,951,659,001,490,
528,186,546,319,612,674,337,735,871,875,016,761,955,763,609,508,127,808,546,
719,515,197,027,130,321,769,662,993,693,407,337,376,416,757,005,957,002,263,
882,966,109,591,359,979,572,356,471,046,121,299,861,477,469,099,740,342,500,
414,532,928,844,687,883,377,479,181,686,183,864,715,247,329,969,675,952,766,
257,328,421,521,253,808,595,230,394,093,541,690,891,763,597,037,928,163,000,
909,305,956,762,559,756,134,865,184,524,578,196,662,327,557,025,891,018,259,
503,534,794,257,632,709,310,264,021,547,164,462,857,414,670,978,888,263,058,
284,810,129,719,649,623,709,761,336,495,601,806,656,850,085,624,816,692,051,
198,543,697,485,838,789,439,825,996,079,841,101,865,253,482,536,603,960,631,
726,879,108,921,880,109,597,794,329,668,983,757,863,846,063,759,599,246,227,
111,045,904,646,464,653,461,373,608,396,832,554,343,290,783,510,270,331,005,
595,878,012,958,463,689,350,598,863,145,683,549,482,634,012,469,202,452,028,
524,698,096,419,258,376,039,969,950,903,459,737,611,656,288,788,020,263,630,
071,972,113,942,394,609,913,718,010,999,825,232,562,105,755,653,486,971,051,
956,787,382,483,958,261,179,273,188,101,496,004,690,602,812,192,605,169,755,
831,733,137,982,583,024,716,299,364,117,426,441,516,443,396,719,670,392,437,
959,284,913,230,594,338,801,774,799,299,994,991,899,254,481,852,650,914,025,
073,301,878,493,466,685,395,452,182,081,427,506,949,638,270,819,552,130,539,
672,725,977,444,395,612,535,005,676,820,681,443,894,117,836,875,018,212,233,
857,490,755,156,036,927,498,707,518,690,607,732,905,330,156,112,146,606,722,
439,327,543,149,656,576,263,641,832,424,364,065,073,055,277,620,934,668,675,
863,127,359,127,305,106,009,008,356,150,963,544,026,116,191,289,185,231,609,
572,613,850,585,553,966,772,250,684,891,987,900,120,532,681,161,870,693,153,
068,994,302,009,809,404,646,914,877,069,052,785,617,333,403,117,731,747,469,
805,538,411,779,724,321,937,838,436,551,850,678,455,478,400,660,760,819,244,
132,137,425,069,261,444,994,493,225,628,244,490,891,109,313,263,377,736,770,
494,900,130,523,562,014,328,387,667,648,415,641,897,890,084,389,868,564,152,
060,589,298,806,096,259,647,663,724,504,446,152,517,832,322,187,062,231,543,
346,487,435,837,561,645,309,675,385,433,673,519,992,773,339,456,149,293,091,
915,281,489,362,296,208,511,505,190,016,710,924,457,613,598,188,472,288,906,
059,385,154,112,824,841,089,968,988,094,216,861,187,575,927,901,980,592,336,
070,175,173,829,789,533,742,626,766,281,353,214,591,298,531,020,753,728,520,
864,094,866,650,088,358,915,698,856,166,325,611,389,069,138,282,671,444,551,
166,357,862,982,929,022,312,047,075,238,009,521,649,015,918,125,420,895,090,
429,629,062,567,518,800,387,993,780,964,684,258,415,234,619,398,438,951,442,
075,729,092,509,488,877,942,449,557,748,041,967,476,719,338,946,122,203,549,
872,477,622,625,743,004,404,040,869,984,123,898,007,630,542,661,391,914,696,
267,859,458,879,446,311,910,688,708,212,896,447,476,339,223,844,700,349,458,
978,403,177,369,538,995,702,064,222,761,597,061,371,834,956,010,521,059,378,
186,012,774,950,987,672,236,930,440,433,180,741,738,402,474,844,178,008,115,
981,055,237,423,780,003,503,895,761,171,762,819,563,748,886,927,726,946,718,
943,934,004,679,704,067,603,763,239,709,855,898,745,519,725,945,051,737,950,
745,608,876,095,809,184,049,477,649,653,495,798,095,598,084,289,551,638,098,
076,364,588,091,162,111,787,453,799,779,639,777,528,905,213,021,545,510,260,
159,580,215,287,621,831,717,155,575,010,898,498,993,294,197,236,227,577,250,
647,231,251,153,489,698,392,463,656,181,427,316,678,342,332,500,387,589,153,
920,170,802,919,487,383,929,080,807,282,255,512,568,968,773,918,568,244,763,
277,444,449,786,462,423,344,140,732,366,327,307,234,340,139,684,262,348,220,
013,619,839,462,697,885,151,444,007,278,268,551,023,902,363,607,265,649,509,
856,493,387,375,625,489,472,841,824,639,897,641,156,979,278,942,233,003,408,
486,397,826,743,615,669,304,886,434,628,189,908,131,568,205,968,970,179,953,
389,796,066,548,166,610,398,220,613,697,545,437,813,998,885,999,713,847,689,
422,085,972,147,534,796,309,648,680,182,378,335,964,444,065,455,468,493,063,
079,329,016,936,808,762,363,213,865,672,084,981,315,654,943,622,833,519,499,
796,643,921,127,498,649,665,172,840,591,812,242,072,176,552,570,619,590,020,
329,031,326,715,726,679,435,730,791,338,322,189,357,991,669,226,386,138,443,
695,360,798,372,056,162,189,860,823,445,225,030,426,587,211,944,045,550,380,
057,409,413,867,344,766,580,130,569,072,915,535,375,706,935,635,754,880,308,
193,191,780,146,905,938,858,886,017,365,303,277,962,818,002,137,734,820,001,
567,577,246,457,805,317,295,182,985,444,821,503,328,894,623,028,807,268,301,
260,320,796,438,242,090,855,783,417,977,743,782,222,260,532,229,484,499,980,
907,796,208,648,324,344,681,126,765,263,558,086,577,170,793,219,218,999,648,
636,467,058,862,737,586,446,422,783,423,564,947,802,179,555,429,901,648,088,
383,133,691,678,050,394,933,620,964,754,719,787,337,620,290,241,069,354,720,
592,601,009,674,916,075,312,095,887,462,844,117,016,963,756,371,240,015,067,
569,203,923,562,170,696,256,202,208,522,959,513,582,636,773,372,572,755,950,
783,614,750,451,377,571,427,239,292,119,781,261,585,500,546,935,870,494,256,
937,308,468,190,813,330,701,781,953,897,823,401,038,243,345,327,490,402,615,
864,635,290,709,659,524,878,000,903,209,201,847,724,762,377,752,938,144,891,
690,463,114,604,751,106,427,217,237,926,561,613,522,942,155,194,890,265,381,
272,113,566,732,685,240,315,121,116,999,870,282,304,920,134,424,798,621,417,
810,374,550,385,773,431,959,233,606,499,266,368,774,045,099,338,371,991,427,
727,757,289,423,357,953,122,100,646,757,579,490,419,239,952,304,918,078,114,
193,648,959,412,682,181,320,296,095,267,590,056,626,334,347,468,566,370,735,
637,713,233,646,857,484,576,567,139,498,347,261,443,796,670,807,435,649,310,
106,691,824,999,114,415,568,430,061,184,932,065,238,313,827,227,339,488,225,
583,159,189,233,880,653,667,377,261,459,418,671,262,321,910,817,687,277,634,
657,255,793,815,774,668,680,936,403,168,013,064,430,981,890,319,281,528,507,
159,862,278,351,892,571,873,245,502,190,000,822,857,463,975,777,715,323,709,
440,176,176,050,859,514,766,550,547,879,040,514,929,523,817,202,705,284,888,
808,736,898,571,057,092,370,479,011,564,268,786,166,180,980,471,721,448,840,
286,439,372,274,303,529,075,339,413,653,731,416,920,354,794,682,700,021,596,
722,257,813,417,184,564,548,072,759,053,048,484,927,477,636,488,706,342,841,
912,608,992,000,211,963,330,137,996,299,104,096,726,718,576,230,734,799,974,
615,925,318,848,305,214,267,942,326,806,131,415,175,833,187,644,154,429,034,
438,013,528,794,785,252,432,105,317,635,964,856,479,866,391,150,995,116,491,
673,770,235,487,358,209,060,352,731,689,916,727,997,234,195,730,259,129,862,
341,931,961,912,157,052,313,065,811,353,923,086,303,107,723,707,564,789,849,
565,191,762,771,388,516,687,744,748,734,278,710,931,814,053,887,528,052,185,
976,239,903,314,411,637,537,207,973,875,910,303,025,086,432,955,526,718,867,
629,530,948,781,780,843,143,923,124,570,149,204,989,510,007,014,713,367,137,
369,800,002,270,470,280,708,580,891,340,433,610,600,084,613,291,528,557,620,
149,646,767,197,527,690,825,610,200,767,982,577,662,058,081,705,924,849,082,
591,176,550,835,044,922,692,229,917,875,867,063,052,423,796,704,906,772,377,
605,954,313,615,738,556,036,349,977,047,638,124,680,833,716,588,368,256,779,
254,508,207,865,475,116,015,511,182,698,885,332,161,241,403,828,695,569,280,
130,510,920,563,630,556,618,743,729,802,036,673,923,666,441,804,133,974,978,
364,936,403,473,938,836,483,330,406,875,044,589,024,021,993,298,045,518,268,
363,469,414,752,775,169,871,119,476,720,124,439,677,138,941,359,409,043,381,
398,101,610,769,257,526,130,303,424,809,310,440,623,711,315,928,888,653,141,
849,897,236,148,189,297,041,120,532,828,051,844,129,215,278,115,746,734,938,
595,410,248,847,914,783,974,449,279,390,130,269,992,179,404,398,476,681,784,
154,560,498,660,143,527,310,717,421,196,826,434,066,901,599,917,501,122,299,
416,738,280,806,355,337,558,904,316,291,551,982,567,158,350,780,416,892,634,
567,487,880,962,074,140,275,644,889,918,413,233,063,989,815,205,762,493,731,
049,333,312,869,492,987,793,071,521,738,056,258,134,781,878,616,298,807,301,
156,948,027,517,963,146,052,323,208,548,882,387,968,544,767,027,649,911,957,
650,781,835,546,128,899,392,476,751,437,306,419,445,782,253,008,587,753,202,
986,590,922,700,766,737,485,930,644,744,332,261,303,688,071,234,940,849,944,
865,445,329,681,552,484,895,375,749,598,257,191,900,459,924,330,882,604,973,
133,096,410,718,560,440,520,606,888,756,622,928,448,637,640,471,500,787,877,
100,201,404,595,793,884,631,302,924,152,633,941,775,294,667,353,220,812,137,
874,661,512,691,848,911,339,767,301,159,058,162,906,373,175,790,060,655,026,
270,836,996,904,798,521,959,373,304,609,812,184,439,286,034,367,273,265,029,
754,552,394,937,073,235,730,515,324,685,050,201,545,585,153,269,116,102,526,
114,316,810,730,591,491,698,566,168,451,464,395,491,267,904,497,775,029,081,
438,050,038,676,706,427,532,466,765,245,398,710,224,346,717,736,434,132,972,
130,865,801,380,626,438,956,718,519,545,147,860,778,453,216,509,376,202,245,
610,935,625,259,483,129,241,060,416,451,848,690,230,160,762,215,207,430,949,
906,504,666,579,885,188,998,110,556,117,198,636,792,002,334,383,993,986,855,
418,503,479,769,437,290,700,468,161,656,210,392,862,126,076,023,381,994,860,
272,673,369,115,035,239,546,684,090,747,225,127,068,723,602,478,541,292,198,
671,828,080,202,079,100,401,785,884,780,359,643,022,350,084,178,324,006,890,
543,497,865,654,648,422,327,160,599,053,660,100,387,822,610,025,164,777,829,
524,192,180,068,977,641,196,722,337,117,641,951,292,735,537,489,275,598,035,
873,401,984,931,172,874,251,874,037,273,256,167,014,291,727,761,912,756,977,
879,273,042,963,456,977,718,539,180,885,581,067,416,945,204,575,784,989,479,
394,495,074,995,995,532,024,610,255,960,928,919,492,962,540,930,055,148,000,
164,263,795,118,263,260,890,546,693,275,198,773,572,198,729,572,316,113,819,
595,435,618,992,030,271,797,085,854,865,102,045,134,319,789,886,669,407,901,
424,365,794,369,760,681,830,317,204,629,724,736,138,000,395,332,703,325,369,
651,323,071,907,299,719,089,163,808,125,173,839,671,162,009,567,356,633,596,
333,687,970,112,779,149,147,338,680,223,906,478,008,050,334,714,820,366,997,
608,849,106,136,649,633,906,416,771,072,394,679,781,577,214,144,979,578,477,
764,059,912,925,202,591,222,960,742,457,297,340,519,720,878,600,024,715,228,
964,884,480,311,474,093,815,207,998,927,005,957,855,466,776,233,517,986,296,
595,412,622,669,298,886,341,713,857,721,099,774,652,259,803,317,197,946,800,
825,784,350,067,837,365,997,802,292,323,758,961,420,468,729,027,523,548,222,
476,182,182,808,717,511,697,962,498,511,938,481,209,815,222,399,224,423,604,
079,046,528,183,846,000,039,416,969,642,665,097,206,646,269,603,542,620,578,
230,252,110,662,556,673,219,876,007,513,166,642,675,127,615,664,909,555,175,
992,156,213,256,155,612,949,354,613,506,847,039,169,299,924,446,051,095,088,
226,849,057,082,773,017,597,293,883,579,270,401,410,025,198,980,322,240,847,
877,647,947,582,066,886,500,576,504,643,899,317,217,064,548,151,522,564,450,
930,350,918,646,006,255,744,992,255,194,157,649,549,514,836,930,507,985,083,
237,282,008,681,020,345,988,516,394,233,934,337,342,719,154,848,095,405,527,
392,283,889,184,759,552,550,366,690,914,422,174,499,698,191,665,272,066,597,
000,509,613,311,288,109,607,933,803,585,460,777,327,472,282,750,088,396,152,
572,786,005,761,191,234,152,033,242,719,318,774,774,921,944,015,630,169,904,
588,590,711,525,048,152,586,074,115,549,167,150,945,232,510,170,492,212,856,
929,857,164,477,960,385,514,778,417,956,169,085,003,520,332,242,271,628,186,
565,969,370,173,741,748,875,038,445,150,543,064,168,000,131,677,283,590,713,
796,098,315,417,483,103,693,086,610,813,287,260,618,650,303,832,825,265,812,
220,512,132,742,701,374,276,643,400,819,684,159,520,886,056,136,494,092,208,
832,910,286,199,961,889,293,684,520,393,322,184,025,411,378,891,200,752,402,
774,844,570,720,058,804,414,514,550,072,806,119,834,713,101,680,846,300,190,
486,354,806,883,740,580,631,038,596,702,886,832,803,778,543,163,564,505,804,
683,591,706,753,111,790,324,893,177,612,583,466,391,613,451,738,882,193,597,
305,808,222,314,792,208,926,542,318,522,960,991,843,576,964,090,479,209,592,
515,619,976,246,191,938,965,203,705,369,609,317,782,732,200,964,766,610,828,
527,101,863,485,773,913,427,686,991,382,087,017,461,902,293,718,221,109,986,
833,518,394,531,088,816,478,405,515,172,158,984,568,743,539,128,849,132,127,
114,780,475,149,801,526,387,385,395,790,931,796,140,080,855,390,598,290,274,
670,060,658,033,985,401,482,184,537,919,213,077,511,694,691,573,210,423,414,
132,725,247,074,936,818,823,442,845,542,714,410,682,501,009,363,168,310,843,
931,737,809,188,143,023,959,786,666,296,003,778,209,915,409,623,203,444,956,
637,020,681,790,708,980,144,390,796,687,683,274,909,530,310,433,047,142,199,
692,958,523,142,150,723,088,026,220,960,456,069,034,617,000,625,440,192,271,
440,878,758,198,951,469,218,218,979,051,494,935,394,310,422,501,045,268,931,
619,214,310,855,037,754,576,609,766,514,551,691,498,314,067,300,049,034,083,
231,385,400,132,574,583,135,002,326,745,575,258,899,715,330,929,000,378,142,
224,203,701,278,917,228,324,195,306,391,468,255,043,950,091,410,466,672,109,
927,333,589,620,429,271,104,470,632,656,636,143,339,523,149,737,373,909,215,
547,037,451,505,028,679,078,990,740,080,795,951,067,017,921,187,919,748,530,
215,615,011,121,726,514,291,152,136,478,921,532,042,326,790,228,348,645,123,
372,937,080,897,764,537,639,029,706,010,418,108,812,859,505,572,792,985,543,
207,210,715,664,650,827,518,486,796,483,931,076,892,501,640,018,150,486,831,
976,902,645,899,911,323,348,385,169,988,682,130,833,075,718,872,498,256,543,
066,070,730,214,012,994,852,797,967,756,438,565,779,865,430,049,241,412,796,
336,772,156,369,721,922,424,685,559,028,600,536,619,418,547,149,962,321,176,
716,408,607,777,087,644,036,150,180,078,323,873,713,668,698,478,273,704,304,
226,667,826,322,548,181,472,268,383,816,663,335,570,771,048,047,689,606,821,
632,632,654,232,845,797,309,771,852,660,628,551,819,718,521,630,640,590,256,
549,404,599,820,469,774,372,007,797,824,757,414,301,331,458,779,194,068,812,
037,464,472,811,142,855,637,661,945,615,874,269,961,141,948,685,534,016,058,
084,752,864,241,046,550,152,450,034,008,052,245,327,745,080,847,685,804,095,
180,759,618,332,230,124,244,982,715,831,269,680,076,982,342,272,433,270,758,
915,902,443,970,613,644,135,011,753,660,544,292,784,653,123,035,859,224,947,
036,220,902,412,349,739,031,077,896,554,928,748,198,250,502,875,665,167,573,
621,249,217,770,152,182,426,336,693,620,411,883,071,246,354,926,914,618,920,
830,196,320,102,061,314,426,287,535,894,029,237,443,781,953,715,998,244,545,
604,633,687,608,154,895,336,390,108,041,723,554,728,845,063,658,860,733,538,
873,074,600,169,830,662,688,840,723,730,058,463,233,157,615,989,947,652,665,
235,907,023,125,012,804,205,104,308,541,899,236,696,658,947,727,177,982,138,
747,865,625,383,348,350,062,381,160,596,791,746,957,116,373,654,049,973,493,
132,033,589,517,562,643,676,780,346,905,717,661,671,115,481,105,987,194,477,
280,077,685,410,108,525,777,237,103,148,807,187,347,485,175,578,320,488,825,
387,613,576,501,353,000,871,525,756,336,819,193,915,965,819,218,143,615,564,
356,417,731,235,361,263,063,813,563,184,181,296,720,888,316,651,093,478,899,
029,094,532,533,906,463,190,604,673,511,559,998,344,744,493,872,222,436,849,
817,792,118,973,811,365,268,517,345,902,333,240,287,510,351,659,082,089,924,
377,619,394,659,690,751,808,017,876,461,125,409,757,636,877,430,252,694,821,
355,747,971,790,580,963,055,524,747,167,195,985,014,937,314,515,604,239,116,
023,568,061,447,948,369,311,272,951,405,117,220,942,720,435,237,342,111,664,
015,784,506,363,290,835,088,251,119,172,262,823,985,722,508,600,785,747,689,
667,372,271,001,266,844,834,816,611,064,107,132,036,849,999,467,747,377,247,
243,443,814,768,122,354,826,668,382,863,586,590,530,816,124,994,931,188,927,
565,237,548,703,035,428,228,759,622,452,255,502,458,441,258,071,093,128,708,
637,877,755,461,676,605,291,511,867,865,749,946,579,226,576,470,940,818,785,
179,428,400,885,854,429,872,291,779,548,513,682,672,379,154,317,395,443,383,
922,079,027,657,899,194,377,687,338,104,349,864,798,363,271,284,910,342,512,
369,751,903,175,273,025,721,229,945,562,228,307,208,337,153,025,559,056,730,
272,290,966,366,212,110,360,901,560,480,669,069,239,240,694,492,539,033,850,
121,266,280,064,739,136,274,373,136,780,815,779,101,463,091,771,554,788,586,
054,067,702,733,022,405,820,069,658,234,189,602,298,641,598,514,746,882,862,
397,287,908,476,185,789,326,697,355,947,810,159,548,270,591,819,542,834,020,
383,931,676,743,491,057,247,163,949,495,841,500,637,288,596,065,343,342,205,
919,282,243,608,110,267,453,307,748,177,011,943,426,422,718,468,707,847,878,
077,306,589,903,936,331,407,577,191,977,248,283,178,789,348,228,514,571,287,
093,928,267,358,497,370,841,684,771,288,409,933,708,240,126,620,105,847,516,
357,806,796,656,562,685,675,744,719,625,443,955,974,081,581,455,403,835,513,
473,194,853,986,305,852,311,204,656,081,758,593,714,761,061,161,589,789,070,
104,487,366,803,516,105,186,453,535,746,830,350,700,308,452,443,458,123,718,
865,601,863,105,159,512,272,647,041,986,962,853,118,183,646,172,753,033,215,
202,173,081,883,722,452,073,994,880,653,749,742,959,619,430,535,001,575,135,
419,342,209,005,139,135,213,249,222,540,877,569,074,646,850,419,581,323,615,
813,898,024,828,403,512,873,653,410,516,694,080,058,903,376,070,268,850,128,
463,786,653,985,223,533,943,562,006,540,088,744,073,102,043,266,178,333,522,
194,713,966,261,179,507,228,394,055,907,712,095,419,783,209,232,739,699,460,
647,297,390,284,996,130,032,359,048,634,402,100,489,302,627,716,688,289,400,
632,199,394,713,035,965,105,257,921,869,469,996,815,474,438,289,187,335,965,
671,675,472,411,490,881,920,895,432,290,270,177,829,849,873,882,156,473,409,
903,769,692,807,037,437,153,730,321,750,150,220,298,653,955,420,896,554,200,
417,378,684,795,016,081,281,984,676,666,215,399,465,096,937,194,953,766,245,
813,472,315,726,866,772,636,684,077,451,122,122,590,609,175,972,764,200,835,
339,790,549,377,260,474,780,827,601,604,704,824,339,922,057,245,739,756,965,
409,837,601,469,033,431,159,895,721,873,691,550,543,773,172,205,081,452,424,
830,004,175,107,379,872,956,676,436,496,456,086,746,966,621,806,949,349,644,
495,895,884,975,957,788,006,726,358,170,448,979,528,057,863,609,691,177,182,
894,912,027,977,234,685,645,006,567,940,517,350,176,840,595,847,599,511,492,
680,936,792,972,731,333,371,247,890,852,017,612,777,323,615,581,535,788,812,
254,248,278,394,695,245,135,469,968,428,639,585,583,609,697,177,939,488,003,
774,454,243,175,874,801,497,979,640,764,945,905,781,242,083,352,776,112,790,
818,118,926,025,865,578,389,282,271,182,699,150,567,214,792,708,005,473,262,
122,128,437,668,190,320,643,216,333,149,583,206,793,435,663,561,565,170,847,
866,906,932,871,309,480,402,772,521,061,967,009,344,475,198,129,260,053,759,
821,693,430,326,309,644,526,296,741,519,422,082,585,105,405,303,423,113,327,
402,983,115,434,996,510,452,561,990,795,448,441,579,391,493,174,655,236,146,
701,157,408,594,895,755,466,008,467,442,806,083,511,269,674,992,457,521,953,
399,704,541,659,540,631,914,059,731,701,179,406,014,775,744,503,977,319,252,
438,149,382,189,644,342,363,436,483,219,119,179,963,994,636,447,453,256,784,
915,168,281,183,226,481,084,243,432,937,651,205,042,181,965,932,346,288,412,
169,015,943,966,229,934,511,722,250,662,717,288,416,746,949,226,980,936,985,
875,510,482,881,749,313,291,923,719,358,291,225,288,138,328,216,591,193,051,
590,210,417,037,662,272,602,665,677,280,017,616,153,611,594,861,787,928,516,
502,720,074,477,770,812,831,856,180,569,561,021,290,547,663,578,691,069,942,
705,143,481,920,962,443,336,371,240,253,815,298,994,218,410,669,182,529,447,
345,592,016,788,446,210,253,040,067,031,987,520,815,931,113,996,239,342,267,
021,229,521,727,549,852,315,677,800,688,991,822,409,465,305,050,920,837,898,
613,813,957,477,682,701,019,082,665,726,323,320,525,788,337,369,770,931,572,
591,875,803,814,713,890,379,203,662,921,511,055,647,521,805,673,820,310,336,
990,721,544,628,683,647,651,385,533,960,758,508,476,779,275,333,768,351,802,
915,115,174,742,535,829,917,145,971,507,498,208,692,800,226,010,315,645,128,
339,970,990,946,326,848,224,992,715,028,931,351,504,989,966,349,694,806,800,
842,535,774,406,978,066,550,459,402,328,642,897,422,545,557,296,347,242,219,
197,079,711,030,857,786,695,856,085,830,513,563,718,707,452,952,243,010,478,
693,561,072,827,848,224,498,220,743,179,044,543,148,548,231,629,237,734,410,
137,331,524,054,121,370,691,485,473,741,001,241,192,089,981,786,967,172,069,
931,371,547,123,354,258,775,622,013,056,614,028,407,763,856,429,919,899,883,
015,816,454,708,568,702,440,781,200,887,418,964,629,415,007,418,945,219,828,
080,266,284,049,536,229,828,726,298,153,218,738,364,133,637,904,785,070,458,
203,255,896,732,366,166,337,400,354,084,410,055,998,696,191,185,793,414,994,
308,830,067,257,427,213,787,048,152,010,602,691,916,890,092,968,256,787,440,
142,430,671,422,964,013,486,238,207,518,593,455,909,998,397,625,612,475,956,
104,345,289,658,748,042,846,498,571,867,653,264,279,664,490,901,836,747,962,
948,827,504,477,367,518,124,708,630,886,548,061,547,901,543,470,012,915,605,
576,949,777,543,137,499,961,316,833,846,985,238,765,099,859,356,888,667,375,
649,407,425,012,314,940,033,450,899,108,282,107,254,430,237,455,935,673,821,
981,231,797,112,032,184,353,424,077,386,931,826,101,261,175,738,837,777,070,
411,769,822,370,721,857,006,129,744,456,004,957,322,270,444,218,842,776,896,
971,885,564,211,234,550,774,221,402,722,086,854,391,475,200,901,129,412,492,
392,220,750,260,206,704,509,849,946,254,549,451,218,454,628,763,577,994,964,
158,894,749,313,632,141,081,740,799,500,767,489,347,005,059,507,716,289,899,
701,310,089,934,914,316,428,738,584,550,541,129,566,153,477,514,737,408,444,
475,020,871,878,295,747,530,258,535,284,761,400,264,514,831,013,930,124,763,
448,722,278,549,313,579,337,334,457,461,856,900,995,671,182,155,793,164,126,
931,769,046,424,784,353,413,950,042,150,516,869,710,800,146,608,310,040,322,
988,909,182,147,748,331,636,389,055,781,678,298,575,462,416,212,667,867,455,
338,196,291,911,090,842,171,941,293,563,223,955,120,502,672,678,443,468,033,
030,486,743,536,327,851,904,764,561,381,943,067,084,877,405,908,446,235,337,
999,486,296,902,820,771,473,947,046,506,400,211,616,198,676,483,468,822,772,
359,175,108,062,522,258,995,423,555,640,884,398,012,937,810,562,846,138,068,
920,402,279,029,194,787,567,586,507,239,905,430,170,533,635,220,322,510,282,
382,711,551,944,772,810,223,441,154,540,433,203,194,935,953,915,193,278,115,
564,843,363,974,842,900,495,509,185,487,733,104,831,459,819,060,949,125,172,
184,108,361,164,057,898,346,273,149,197,925,339,016,396,083,080,446,895,273,
156,663,155,772,412,274,158,124,458,936,454,082,546,040,843,074,638,144,869,
604,727,548,930,037,742,526,225,403,490,071,967,751,305,099,674,906,596,747,
792,725,194,862,849,628,465,477,514,342,815,283,883,366,081,620,466,807,506,
560,314,563,225,598,685,051,394,545,266,965,776,468,057,436,822,481,485,358,
493,182,230,816,558,022,474,489,352,585,826,359,534,445,857,021,992,844,091,
299,773,537,310,155,263,086,486,183,511,749,059,127,577,367,259,743,577,392,
376,288,626,294,744,225,378,385,984,396,956,927,051,857,469,963,887,741,976,
403,158,733,167,621,238,520,488,146,327,199,640,770,968,302,310,927,777,451,
677,205,682,863,917,830,449,640,996,118,312,320,333,136,490,576,858,955,021,
119,356,525,128,197,472,949,278,078,005,879,677,788,962,109,288,291,044,789,
706,956,103,138,532,253,608,375,607,403,634,653,287,319,515,696,002,076,077,
977,999,279,561,281,582,796,259,688,908,354,151,508,211,208,313,478,622,038,
449,310,541,837,082,537,602,063,282,274,315,605,208,810,904,734,104,694,896,
379,460,604,837,152,135,896,094,981,121,764,769,068,697,259,821,481,898,418,
306,657,230,386,085,050,769,015,473,679,732,158,634,106,578,823,785,254,491,
012,068,360,564,279,071,066,632,190,216,502,011,486,348,155,742,526,724,193,
407,998,537,272,356,322,338,053,661,520,414,012,989,837,695,572,571,468,204,
937,075,710,932,306,390,888,496,581,302,988,113,868,085,097,113,180,117,665,
278,491,878,271,486,439,923,355,484,614,633,154,487,248,599,337,829,080,144,
069,640,293,435,540,195,220,737,978,072,094,174,544,386,642,350,107,302,152,
191,189,571,854,879,839,651,645,707,434,473,876,070,286,238,963,960,923,180,
964,074,198,172,292,141,777,056,688,637,000,577,482,212,203,157,768,619,652,
422,889,235,842,770,243,109,263,708,575,351,915,384,914,096,197,273,913,261,
803,479,153,698,182,519,399,171,744,186,944,103,533,088,400,083,293,866,099,
156,188,096,258,823,075,328,399,081,819,830,184,369,737,506,435,658,774,837,
346,039,691,578,349,413,420,757,980,912,353,215,009,575,863,104,261,646,791,
469,245,578,864,680,778,532,199,855,499,773,767,822,290,342,872,793,679,175,
033,222,428,175,356,119,131,452,044,608,020,497,872,720,633,413,150,902,156,
390,269,931,971,276,813,791,325,292,718,473,435,662,914,544,054,707,584,468,
671,652,168,401,384,451,379,495,620,693,747,263,386,698,667,896,497,289,644,
795,915,274,655,928,733,215,336,999,768,701,702,671,736,437,833,969,378,121,
513,259,354,821,192,694,904,857,175,086,464,693,552,118,923,680,667,613,201,
901,781,709,129,152,897,595,689,413,902,902,703,557,550,526,067,954,272,967,
603,966,529,297,088,725,951,388,792,984,495,188,192,954,358,680,658,314,862,
297,710,400,859,323,904,385,261,081,767,837,280,820,886,456,698,015,276,302,
209,279,697,493,742,127,373,034,826,592,277,828,821,420,825,053,791,248,559,
892,036,191,181,633,003,906,526,686,372,890,262,172,646,045,534,534,027,842,
402,322,173,025,723,357,382,589,502,185,319,365,821,030,443,969,654,984,429,
554,644,188,538,074,209,445,984,186,613,731,060,429,555,989,270,881,944,680,
113,094,188,372,030,898,963,567,426,599,549,414,837,444,590,106,785,139,294,
461,891,181,578,545,387,553,866,081,582,569,608,330,949,168,062,018,006,211,
003,999,447,463,071,034,796,416,751,516,010,579,590,486,165,245,412,050,563,
110,337,885,610,914,838,307,461,440,860,838,510,244,813,875,093,395,717,442,
519,070,754,519,359,533,257,546,394,792,076,585,776,107,409,627,084,327,075,
387,367,491,669,749,441,060,994,555,225,615,304,186,422,146,609,033,194,870,
177,154,171,861,686,454,658,531,680,173,913,976,360,720,731,801,467,028,485,
310,980,386,275,510,230,823,040,338,795,340,480,638,219,067,948,965,519,188,
886,881,895,624,472,586,922,524,538,041,279,296,944,273,587,333,703,924,866,
380,356,312,555,410,689,614,945,458,403,543,847,325,301,046,446,217,778,670,
858,745,228,555,206,555,612,202,059,163,051,250,583,996,483,471,738,629,248,
864,672,950,322,262,659,265,350,799,282,463,665,350,488,491,863,171,363,450,
367,348,645,195,783,742,922,677,054,271,996,811,708,325,726,687,082,174,472,
335,470,794,742,256,493,896,480,349,045,691,589,803,799,738,407,156,564,768,
327,826,431,140,912,102,184,754,311,958,278,858,515,184,512,832,368,443,891,
890,120,874,786,973,352,518,155,164,961,966,931,663,692,466,443,606,890,182,
597,749,336,130,548,199,514,408,173,904,593,326,357,673,835,214,763,861,800,
294,512,826,546,661,971,852,662,851,838,264,645,582,071,988,976,335,735,167,
408,787,576,934,206,351,567,425,749,512,349,891,441,294,151,309,477,354,069,
209,498,674,348,897,883,808,245,929,649,346,385,636,818,660,485,502,838,726,
615,091,526,578,467,967,019,571,207,717,613,623,792,889,089,132,200,544,004,
295,048,179,245,493,534,725,042,549,394,794,962,955,292,752,583,659,529,915,
122,077,151,489,783,968,984,435,525,016,619,239,899,459,340,416,088,927,941,
843,233,331,988,038,404,318,440,450,328,615,738,910,144,121,830,391,602,015,
127,692,019,613,921,530,924,664,823,857,588,606,195,933,449,129,816,408,047,
354,830,889,452,299,001,635,226,912,109,682,687,451,524,513,089,737,975,862,
262,224,396,057,274,327,497,961,519,950,782,663,398,940,614,727,469,313,542,
210,610,725,674,896,949,541,698,063,178,813,306,667,626,857,460,386,170,149,
323,444,658,057,062,485,352,842,059,226,771,273,649,214,681,534,026,505,563,
601,376,151,407,194,456,230,341,384,224,948,749,323,250,799,025,703,805,049,
465,138,271,175,434,493,661,301,535,319,687,782,258,511,387,511,752,609,322,
387,537,973,509,046,113,980,705,424,612,533,147,688,440,096,468,251,879,417,
898,089,814,903,492,196,323,065,772,114,995,725,556,161,152,372,783,890,861,
512,185,090,911,231,051,422,439,819,045,822,733,968,877,508,924,711,304,544,
019,368,758,900,194,528,130,740,811,752,528,767,283,372,869,069,521,110,875,
832,266,606,120,873,351,990,327,943,850,411,426,843,033,548,423,568,652,239,
625,166,430,393,031,147,494,977,137,490,160,034,170,189,710,192,163,105,678,
123,872,686,651,881,856,924,491,921,795,507,638,821,931,415,365,439,073,618,
644,349,858,551,569,886,867,902,935,606,132,390,672,750,035,646,714,427,231,
425,827,183,660,190,000,570,102,116,044,879,036,784,082,018,045,116,769,308,
000,119,844,263,550,538,001,178,174,010,707,076,317,734,136,349,124,507,073,
308,572,082,668,150,577,391,182,786,480,318,901,175,406,092,747,353,240,688,
667,662,544,683,664,064,076,085,523,705,113,129,984,268,126,316,237,030,951,
644,414,352,891,318,126,133,440,213,663,481,755,148,017,880,163,753,952,308,
847,512,565,421,451,751,503,939,299,432,848,618,436,444,165,704,856,860,054,
207,222,054,547,078,489,132,529,306,001,719,695,829,675,835,311,259,067,376,
000,310,534,275,480,411,813,746,150,093,176,089,415,021,988,888,126,498,108,
926,572,531,755,586,358,729,220,797,071,253,584,893,663,009,640,723,407,716,
665,510,261,182,508,373,247,309,612,486,834,646,470,682,248,305,939,649,011,
793,604,706,367,860,752,705,592,053,664,023,459,938,759,879,754,579,688,723,
623,276,565,692,140,847,614,825,995,568,088,743,131,585,633,247,527,635,742,
360,820,225,668,313,641,156,641,398,209,501,457,024,497,199,976,071,136,621,
631,861,655,705,011,322,615,042,155,773,343,777,019,549,585,414,191,482,071,
270,547,369,951,348,913,603,283,180,965,929,254,515,735,062,127,564,307,196,
188,978,417,285,261,242,387,795,492,806,664,539,543,669,262,381,773,801,874,
118,794,052,951,355,780,093,975,134,348,418,442,264,464,423,915,131,284,174,
145,477,316,924,256,836,879,865,806,748,806,402,574,321,961,893,797,623,307,
950,326,359,442,916,695,488,102,329,145,720,486,532,211,578,471,566,836,086,
119,781,458,409,369,176,851,325,376,256,625,507,988,250,971,434,850,329,609,
228,485,526,211,796,287,978,911,082,340,705,000,788,189,509,575,677,219,321,
227,304,624,110,657,002,045,438,846,034,813,305,452,397,662,682,964,180,128,
815,093,801,602,414,366,710,769,918,905,933,309,205,235,846,480,510,717,582,
297,863,791,584,231,409,552,332,248,801,727,009,403,967,455,584,575,663,201,
345,243,097,742,069,016,544,470,193,716,074,932,855,515,973,120,958,363,550,
239,388,472,800,162,865,804,032,016,356,425,314,727,868,046,696,548,100,923,
432,708,401,001,737,978,373,942,116,960,430,262,652,390,537,260,026,611,933,
057,263,411,794,883,275,177,013,004,166,441,342,538,077,356,019,068,087,049,
183,840,514,634,589,174,142,013,252,999,583,123,702,553,900,578,475,334,605,
421,117,733,735,966,932,283,275,154,043,420,086,052,469,368,100,003,614,153,
268,901,760,115,424,491,987,625,835,047,633,355,939,626,821,291,752,185,578,
204,795,113,091,592,184,638,951,607,809,495,303,036,353,336,027,071,965,596,
126,106,170,367,907,672,314,998,007,787,999,255,431,815,624,697,034,204,284,
390,540,805,713,360,591,947,837,746,762,848,214,426,374,898,939,545,203,534,
731,167,427,996,817,184,464,432,678,788,308,645,504,787,984,084,702,597,078,
429,806,160,292,461,925,139,925,567,924,262,707,517,536,731,958,195,811,602,
489,162,783,906,567,129,991,190,181,058,923,152,975,548,253,694,487,255,903,
362,149,210,553,521,796,233,966,482,121,907,217,831,689,969,763,972,699,381,
777,035,005,044,268,705,318,480,883,242,007,595,821,784,163,125,960,009,153,
793,113,283,865,668,256,710,033,384,926,133,505,688,394,444,528,269,239,958,
770,602,807,043,743,194,566,841,150,948,514,459,541,057,841,029,958,860,463,
444,077,600,049,944,328,314,851,979,990,204,818,168,148,967,980,011,387,096,
135,413,873,626,569,973,320,238,752,371,335,048,437,278,309,629,254,281,627,
917,392,367,943,997,843,657,991,445,720,496,313,182,620,599,463,342,344,011,
239,783,270,651,068,512,092,113,852,071,840,125,975,616,506,435,016,171,923,
271,955,636,345,949,391,527,704,280,970,419,885,024,479,471,352,945,521,740,
174,239,231,771,831,669,028,684,043,086,196,198,762,516,368,487,039,260,418,
771,883,811,044,693,657,095,659,585,864,821,759,741,574,533,341,428,218,164,
876,960,550,233,395,174,579,605,647,694,755,010,180,468,154,681,533,234,877,
656,200,601,752,120,623,178,782,329,363,476,418,133,078,708,135,494,545,281,
956,696,777,297,943,911,116,067,667,463,403,810,469,005,665,023,597,789,576,
382,715,391,709,912,732,495,305,216,620,867,868,338,419,876,617,288,262,375,
913,387,347,932,500,399,870,583,935,369,303,012,807,657,373,304,014,439,576,
915,669,664,892,985,019,995,220,641,558,157,447,966,553,663,577,117,498,234,
324,708,130,519,645,342,554,329,326,276,240,256,869,073,558,375,929,714,430,
821,179,227,949,743,195,964,426,301,259,391,580,954,343,651,856,162,292,136,
865,090,355,512,905,999,411,503,991,320,013,859,744,977,696,829,309,097,926,
117,733,972,045,574,414,723,726,423,543,645,016,798,893,247,055,746,447,648,
026,620,339,762,013,653,441,348,190,217,223,092,154,984,876,152,791,899,469,
153,699,064,178,020,073,469,656,627,067,941,724,611,151,540,203,396,873,997,
194,323,663,030,399,006,587,174,835,533,560,343,057,857,526,464,656,910,088,
497,202,758,736,369,767,931,943,055,172,676,350,360,225,944,426,259,363,762,
245,483,877,461,481,578,602,036,146,022,756,104,353,786,275,778,350,499,640,
185,281,723,393,776,280,833,951,222,412,650,167,789,612,676,868,575,565,151,
955,853,796,036,414,097,947,751,576,266,586,571,700,974,481,290,167,176,020,
387,033,366,500,482,721,584,799,993,522,473,061,875,055,242,331,157,559,681,
495,204,247,419,178,110,795,534,946,520,438,596,391,155,325,402,577,039,876,
228,735,900,668,016,619,702,816,963,001,507,819,605,921,045,499,665,356,668,
938,342,035,657,600,277,331,881,597,908,422,134,618,995,361,440,533,092,440,
544,832,213,139,834,506,988,089,049,135,045,186,243,035,671,775,691,293,715,
188,601,311,176,652,385,515,494,175,756,955,881,095,140,168,319,112,470,387,
303,869,617,713,445,788,109,058,384,409,982,300,345,989,092,591,821,887,988,
561,488,162,742,337,948,685,653,358,293,110,604,476,178,290,820,314,390,159,
153,239,250,270,462,968,666,842,065,582,382,001,439,014,158,999,791,658,306,
112,420,982,432,376,576,140,499,697,506,632,371,522,632,636,272,548,634,393,
068,944,455,343,643,033,315,353,716,285,022,372,003,674,582,548,000,153,023,
225,916,692,756,365,792,167,021,795,661,004,718,117,047,272,488,828,280,456,
083,322,058,061,188,902,455,003,611,075,524,599,324,571,946,652,836,397,241,
337,716,135,380,092,095,067,187,071,860,088,062,577,792,926,703,624,334,344,
182,548,525,411,309,033,832,158,659,582,094,020,641,931,216,058,211,197,409,
324,738,071,326,690,673,060,896,412,328,140,776,324,580,208,610,798,431,117,
350,830,310,493,523,079,545,523,756,836,121,661,869,328,900,242,302,948,348,
321,174,363,471,653,035,495,802,784,057,209,477,548,858,683,042,598,759,907,
650,240,662,940,728,850,691,696,048,047,587,075,081,524,686,181,081,528,353,
773,314,912,431,695,027,488,079,352,907,582,445,548,988,624,522,337,232,955,
968,394,982,991,620,317,878,753,262,795,781,786,387,682,625,554,284,309,853,
261,201,197,850,912,583,309,253,589,161,014,562,165,245,314,014,729,791,605,
494,920,677,839,621,926,096,821,515,380,814,616,076,157,592,625,039,024,762,
767,581,690,092,413,803,398,062,509,717,280,876,199,802,052,030,882,325,835,
439,650,177,118,398,296,818,153,573,414,889,101,190,916,769,194,435,021,255,
932,806,107,889,336,856,591,934,512,617,991,822,594,096,916,620,298,855,374,
646,009,836,653,400,167,404,717,049,354,469,426,185,515,138,598,905,059,921,
016,419,656,328,730,053,448,054,078,993,292,594,396,194,575,505,619,297,172,
244,591,785,297,714,068,918,998,812,561,423,203,384,953,364,485,448,899,561,
318,174,819,109,334,757,895,986,580,955,760,352,696,074,872,780,785,635,571,
118,618,215,154,234,647,544,908,138,053,793,262,488,821,350,932,900,022,414,
873,723,908,635,329,136,437,813,176,185,224,592,345,954,981,527,806,454,830,
878,836,119,144,982,763,073,782,726,422,932,622,116,050,518,176,809,376,697,
878,888,249,760,464,449,570,596,590,611,813,966,133,501,200,402,103,476,148,
168,827,689,739,547,738,559,362,455,543,789,511,677,383,041,424,559,574,815,
046,301,857,904,656,073,763,773,198,853,540,145,970,838,480,309,691,940,909,
070,219,338,417,333,498,532,775,412,099,598,734,681,410,080,024,807,107,849,
448,577,060,724,604,942,034,816,031,298,570,774,768,690,359,426,770,514,680,
373,004,683,673,051,696,417,329,768,838,880,520,527,041,272,655,756,899,849,
338,707,127,517,923,660,775,066,709,948,740,010,112,151,264,693,974,823,842,
654,496,712,840,040,749,150,988,984,300,178,803,911,884,871,495,193,429,551,
066,486,022,571,842,438,197,503,408,251,426,358,193,868,586,893,781,790,849,
796,464,908,720,841,055,256,004,101,775,180,827,425,857,997,077,690,767,119,
412,392,889,369,656,640,358,146,600,821,276,936,168,356,241,391,078,829,881,
290,906,090,503,890,016,944,749,374,962,961,646,563,901,455,297,769,376,989,
969,765,374,914,897,618,523,596,376,607,078,063,864,792,458,906,695,905,807,
886,885,687,562,596,357,135,629,238,113,911,372,109,965,623,588,773,959,124,
605,973,459,477,659,399,717,844,808,193,558,884,413,195,798,041,094,287,158,
035,355,010,840,554,815,329,869,874,174,961,067,416,686,457,095,469,998,066,
141,764,986,534,985,899,621,658,196,921,420,652,143,960,033,170,717,711,562,
372,699,332,025,315,621,873,389,384,253,558,231,075,782,894,125,391,398,463,
324,169,857,824,645,416,972,399,173,548,491,397,929,181,394,417,527,165,460,
946,260,826,153,216,806,348,099,138,566,638,112,539,422,834,911,170,420,577,
124,591,575,867,708,610,706,127,554,881,253,259,751,200,403,793,946,570,913,
247,694,019,137,810,484,575,669,460,041,954,031,213,801,595,850,915,135,541,
996,718,082,679,454,548,679,204,539,051,803,907,223,515,877,400,309,882,827,
439,108,736,898,806,606,426,031,762,497,431,063,420,795,207,333,685,726,846,
617,952,176,377,171,342,247,301,858,289,382,314,531,218,704,541,472,032,883,
560,531,728,638,826,563,134,907,981,060,422,519,083,526,372,819,628,246,282,
856,657,688,678,089,498,079,050,047,491,884,159,305,214,599,743,473,715,781,
113,861,009,077,461,868,758,545,463,150,274,739,072,990,357,738,603,155,116,
440,451,557,443,485,156,108,401,841,580,972,202,889,570,764,945,983,119,423,
141,378,327,540,154,316,240,723,034,573,860,949,217,224,008,087,164,422,852,
978,854,130,448,908,635,661,048,833,202,782,076,007,254,943,349,428,539,167,
943,621,437,940,580,704,083,048,829,187,124,094,990,866,491,741,309,258,481,
409,087,493,521,035,934,168,293,405,444,056,595,939,430,144,478,298,908,460,
968,108,528,144,013,793,325,515,083,938,136,621,560,271,419,257,598,660,758,
475,182,000,229,978,740,164,837,095,604,336,660,978,894,992,161,779,248,327,
884,126,856,039,254,601,757,348,860,051,263,350,254,837,133,543,245,073,826,
660,037,109,406,760,857,679,794,594,440,256,418,840,451,531,684,984,728,481,
790,842,140,946,203,574,002,781,471,876,193,099,279,809,494,241,910,375,120,
182,502,044,849,509,053,249,270,073,501,494,666,926,681,529,832,851,854,568,
269,611,082,447,499,848,059,566,320,010,914,262,163,772,001,978,858,046,477,
728,791,909,407,042,030,879,757,962,171,723,808,088,389,400,971,253,637,169,
949,235,416,834,843,607,412,240,099,935,207,038,229,527,240,372,676,775,761,
844,456,839,526,556,663,343,112,567,277,355,553,075,475,571,362,385,232,761,
843,040,894,983,231,378,472,253,252,328,300,904,473,878,049,866,217,422,782,
044,782,419,833,881,190,363,794,795,914,118,498,329,501,130,008,000,880,375,
615,883,993,330,764,013,336,826,698,260,220,215,325,152,522,647,585,829,704,
234,480,298,154,153,400,976,781,750,132,772,537,870,809,838,769,449,631,329,
232,651,795,596,425,948,549,608,181,469,007,653,291,082,599,036,806,059,796,
713,017,672,513,277,903,123,407,823,334,636,867,171,940,400,997,535,971,478,
892,035,379,160,854,544,535,387,363,822,072,613,299,857,207,169,812,641,512,
108,499,197,690,464,418,058,597,549,255,134,978,148,169,552,038,878,238,420,
038,702,335,174,963,575,029,856,364,269,483,399,719,328,578,241,204,151,726,
633,873,824,811,161,037,427,566,099,764,208,935,273,777,591,736,479,181,432,
233,810,092,747,186,425,448,054,624,779,537,353,207,874,462,107,768,982,232,
441,506,068,002,694,356,918,548,773,687,374,432,856,792,771,830,814,823,617,
903,031,897,191,911,765,417,478,307,478,094,754,599,829,407,527,049,800,501,
801,292,650,917,351,309,478,683,797,926,216,559,418,477,743,175,596,583,311,
727,852,683,674,479,618,537,026,484,087,580,119,595,532,194,012,544,744,718,
677,066,439,590,344,993,088,545,075,797,940,999,494,088,663,344,199,007,064,
429,945,640,711,673,549,875,058,047,504,572,196,497,747,153,227,182,509,747,
425,395,997,847,488,480,342,919,181,422,283,075,804,528,486,052,163,406,350,
782,213,889,089,001,638,717,540,997,938,576,226,037,709,258,076,696,619,353,
962,968,607,434,008,219,509,705,930,110,027,118,867,207,523,794,244,169,291,
445,534,083,468,896,073,498,762,352,696,320,968,356,617,802,613,054,345,816,
157,094,676,914,304,145,252,070,307,033,989,335,552,597,015,622,144,568,154,
562,598,485,666,355,072,477,040,715,454,977,015,885,432,281,976,035,316,991,
893,899,139,466,262,794,554,023,243,494,648,553,703,931,419,314,839,105,005,
994,522,340,017,679,109,222,748,218,799,981,789,464,171,373,545,963,322,620,
248,847,577,609,017,231,893,122,224,488,679,137,846,251,770,678,092,079,158,
453,577,927,130,988,637,400,681,952,186,401,260,063,481,253,418,152,430,200,
211,523,504,575,803,681,162,577,716,757,698,254,179,628,543,848,501,580,043,
217,929,548,393,954,809,799,195,175,579,278,030,609,768,346,341,218,687,784,
460,125,103,222,239,080,905,157,190,982,335,071,977,548,589,940,175,726,846,
144,080,584,401,763,694,124,873,054,760,782,014,286,155,246,902,190,530,264,
111,527,894,795,181,443,054,933,076,107,926,398,211,233,216,830,192,865,237,
921,822,196,914,075,508,446,043,309,643,172,288,842,799,445,408,072,909,755,
435,726,666,317,655,224,836,345,376,901,788,648,743,838,176,777,048,230,343,
551,805,147,025,261,552,522,381,064,870,696,058,856,843,086,667,114,969,221,
464,368,653,372,523,752,981,521,917,793,498,575,146,806,651,040,793,033,246,
935,608,546,939,095,111,034,636,843,272,334,873,991,981,231,348,805,589,609,
580,194,868,761,516,132,331,589,561,202,786,290,404,899,691,976,855,719,095,
442,462,859,294,557,622,144,481,307,420,050,968,032,771,770,192,427,388,351,
454,964,788,235,495,629,857,181,572,860,144,967,956,409,555,265,732,072,823,
644,639,855,309,656,288,767,010,170,836,460,863,471,370,773,058,190,891,010,
058,238,905,088,487,889,326,604,759,790,501,975,790,286,291,131,279,504,411,
451,702,331,586,589,824,346,634,128,403,130,964,826,870,951,815,511,121,530,
309,322,001,522,252,668,615,017,928,615,857,998,429,770,653,928,206,535,850,
808,082,172,168,897,358,149,857,888,040,798,911,710,441,460,022,320,656,496,
172,216,442,720,309,840,281,706,963,812,173,801,798,135,028,093,398,200,227,
464,779,342,323,287,727,631,477,053,429,380,619,558,670,134,073,886,876,719,
322,426,965,856,790,974,181,351,630,732,135,871,842,464,048,160,600,136,299,
471,136,104,778,688,341,964,304,839,596,739,449,536,331,355,010,999,422,179,
690,572,326,444,332,740,199,683,193,271,062,656,054,312,155,533,358,522,601,
944,640,733,881,079,885,703,334,041,084,743,133,795,725,851,438,923,327,410,
349,001,429,029,188,047,110,745,881,941,830,812,435,593,970,069,576,486,943,
505,433,268,622,609,007,395,521,699,689,849,980,229,892,598,161,893,067,648,
803,322,166,019,830,682,770,458,732,264,170,931,409,992,631,796,366,769,769,
470,690,931,657,037,408,214,805,337,551,568,950,687,452,538,396,303,120,673,
787,032,157,800,114,877,376,524,188,583,693,435,460,500,879,521,113,741,297,
598,257,243,094,049,379,731,986,578,783,592,570,775,548,776,805,708,760,159,
576,230,845,653,468,575,193,075,900,064,936,120,888,820,718,960,784,838,952,
657,210,926,082,924,350,351,144,377,206,098,724,938,040,894,351,516,301,769,
097,298,546,869,950,514,519,787,027,484,723,528,621,846,555,783,855,418,025,
817,981,849,408,442,356,385,596,036,756,450,819,199,331,784,644,237,436,686,
150,764,038,618,921,098,364,219,292,342,435,484,259,723,384,645,153,141,398,
396,711,055,759,596,762,127,759,100,074,348,055,975,285,069,485,617,665,580,
562,627,931,160,187,136,393,535,971,162,013,020,972,660,714,104,479,820,188,
858,444,069,074,720,528,459,518,687,709,630,341,499,502,992,888,435,830,188,
348,622,937,706,551,695,608,812,969,531,721,143,000,298,846,287,875,428,946,
781,237,129,987,200,737,444,216,345,005,724,542,714,315,913,851,335,293,720,
303,741,804,224,690,887,124,154,240,594,552,500,755,783,592,959,677,235,996,
661,312,656,634,059,019,442,556,057,603,044,697,837,804,526,008,593,990,602,
290,273,433,371,848,080,202,935,584,211,313,687,986,400,992,322,146,679,866,
068,743,827,222,816,184,081,959,855,310,572,082,047,103,999,217,788,220,592,
538,215,795,535,451,384,553,918,979,008,853,699,831,636,363,547,753,344,189,
240,539,579,330,533,691,631,160,564,814,533,820,196,736,125,051,671,872,699,
098,980,314,914,380,767,041,342,818,713,155,785,874,258,607,171,001,434,381,
486,132,770,434,191,615,279,773,485,227,365,945,962,914,726,027,362,151,867,
636,549,565,924,108,496,309,951,736,629,211,419,573,433,786,416,036,579,578,
970,697,568,388,691,527,443,652,623,010,732,879,476,815,501,663,848,426,500,
288,739,422,983,607,484,380,282,464,268,062,072,916,743,836,289,255,856,648,
299,284,649,554,225,591,500,021,769,643,218,972,682,953,379,426,060,490,671,
269,521,434,789,600,011,214,834,608,046,720,664,047,216,198,595,209,730,763,
756,148,838,611,535,448,665,082,821,151,495,662,916,543,623,874,993,184,707,
506,419,734,859,891,754,502,505,263,235,176,776,231,799,080,384,551,617,449,
097,764,234,879,254,831,250,561,890,748,497,853,865,889,467,339,176,065,614,
138,068,435,892,818,948,608,608,158,463,403,771,335,228,451,296,417,116,491,
134,910,993,093,055,481,410,725,178,915,477,392,075,000,491,097,433,875,856,
958,308,935,798,113,329,345,311,321,661,799,252,448,803,614,831,797,940,655,
940,521,144,190,069,174,942,195,642,302,213,952,451,033,243,024,541,123,610,
304,705,520,011,570,343,821,443,415,619,600,818,078,509,179,106,632,325,524,
735,347,222,770,674,714,957,054,461,111,933,677,119,090,228,050,069,817,715,
800,048,883,778,693,731,651,708,856,951,405,623,443,126,534,106,056,956,288,
198,084,312,818,432,103,801,573,859,752,238,492,171,191,937,708,341,595,033,
385,480,323,207,984,161,290,069,619,761,746,436,651,831,012,925,093,148,076,
083,949,649,107,137,365,032,362,648,463,509,691,351,305,751,766,730,770,260,
511,164,348,704,171,490,647,056,977,490,744,185,224,261,754,229,779,738,858,
998,158,807,111,439,682,247,173,789,802,773,907,124,033,191,110,391,142,921,
822,957,685,758,267,650,837,852,694,954,816,172,537,493,465,081,522,406,536,
228,049,073,463,414,702,100,334,247,953,709,047,307,660,137,893,883,666,485,
959,869,183,539,849,882,078,827,935,400,954,801,156,495,755,830,282,787,973,
627,489,537,474,031,449,473,289,874,234,815,368,428,852,268,598,638,215,394,
897,032,001,766,311,039,829,455,468,131,626,439,510,803,615,835,020,137,257,
232,431,122,034,962,169,443,412,124,544,840,747,429,980,554,765,616,994,595,
263,940,821,225,206,039,685,131,901,029,882,912,520,238,700,874,410,168,578,
151,732,515,603,169,877,545,835,537,485,648,188,043,324,142,177,233,167,078,
644,181,134,216,783,999,698,370,788,803,291,619,591,560,976,688,609,520,265,
087,103,078,902,059,505,300,945,038,787,123,043,392,209,699,159,810,467,297,
532,764,900,153,999,311,534,732,647,638,120,017,562,743,598,528,440,913,365,
678,824,443,223,611,619,224,944,271,940,081,474,196,581,512,734,717,443,291,
396,485,944,014,650,593,134,388,395,620,552,430,196,452,313,352,756,587,252,
065,816,612,271,017,792,643,645,318,405,447,890,484,637,769,976,792,786,959,
942,018,037,325,986,421,030,306,076,472,459,652,569,173,680,191,618,128,893,
063,217,260,670,447,993,377,994,031,274,211,175,471,876,694,601,873,532,732,
353,525,327,662,949,814,226,531,917,546,450,446,670,803,926,375,600,181,556,
902,599,328,231,783,626,298,459,065,678,699,489,379,208,320,959,071,205,792,
264,480,376,074,091,230,312,375,007,943,467,329,703,909,013,735,874,559,904,
725,042,507,697,661,398,498,573,270,201,026,790,937,363,598,220,654,386,765,
064,895,348,777,481,130,165,580,992,853,643,694,318,825,051,007,326,988,756,
175,355,376,958,802,914,105,832,042,718,882,637,715,836,976,192,492,553,300,
485,884,196,082,198,725,165,801,909,743,509,072,713,086,293,586,715,604,051,
708,334,236,468,529,688,310,217,777,928,504,245,531,707,952,281,761,359,581,
959,124,753,855,794,608,926,750,294,500,132,133,804,654,644,483,658,765,213,
491,202,184,057,389,415,131,967,497,341,393,959,519,949,487,001,183,410,990,
020,318,423,191,124,705,978,496,192,117,214,806,207,559,334,257,585,886,773,
901,767,271,182,358,036,922,005,029,881,650,514,772,681,459,215,586,008,226,
310,087,132,309,884,641,775,356,494,344,212,835,417,036,646,211,233,501,984,
702,134,499,571,836,360,395,799,170,626,754,162,536,112,996,028,706,103,704,
904,642,084,378,388,871,410,410,809,415,248,213,704,400,772,349,319,464,905,
208,924,888,154,407,108,802,358,774,576,914,389,156,687,663,184,473,890,235,
058,639,491,087,479,521,860,360,588,098,228,530,595,500,350,326,557,595,319,
535,084,575,045,884,673,527,534,320,340,089,889,524,075,477,387,823,808,937,
484,923,816,907,689,087,069,069,181,010,868,125,887,531,263,397,956,335,783,
374,318,981,108,409,472,295,364,141,741,336,532,680,197,738,146,188,296,330,
575,435,465,896,782,311,119,089,360,201,497,350,407,599,074,387,275,860,439,
678,690,504,286,960,923,294,977,464,463,671,763,055,333,530,270,614,214,439,
179,737,678,980,703,101,112,014,631,511,712,360,763,289,287,434,183,309,258,
692,255,002,258,362,821,946,082,572,787,410,612,743,507,374,377,898,958,939,
964,802,773,685,133,572,356,525,872,712,853,462,961,780,502,021,368,156,124,
668,549,151,217,150,450,359,093,682,986,407,667,322,906,968,528,158,820,768,
608,537,113,826,436,035,960,350,609,542,688,144,875,860,655,108,224,623,834,
799,355,413,478,946,896,659,974,798,068,536,705,794,046,493,551,870,231,371,
014,323,053,508,878,004,227,800,947,290,533,535,985,574,548,957,766,379,690,
417,521,253,778,827,146,382,326,334,777,172,498,137,089,533,280,538,120,303,
600,600,122,337,337,613,678,322,448,185,698,885,211,232,135,102,289,055,541,
736,758,860,113,582,111,432,666,592,929,538,992,170,521,704,441,643,778,276,
331,043,901,096,326,070,089,132,310,269,334,771,218,643,367,220,734,323,656,
182,641,141,889,655,956,244,972,190,502,710,279,078,052,538,243,191,083,096,
730,163,702,237,473,151,584,277,782,185,643,578,957,831,001,035,753,865,818,
819,730,270,649,494,796,576,429,508,139,587,283,895,342,946,517,062,965,271,
938,598,470,318,301,538,578,525,189,065,890,112,283,464,221,809,215,532,497,
060,314,889,442,521,017,369,702,521,300,752,473,826,128,005,331,248,243,939,
639,431,256,171,277,528,502,095,569,314,784,560,190,081,737,589,573,628,913,
328,540,961,908,658,515,170,691,532,803,304,893,770,397,636,759,178,692,868,
638,234,597,557,562,329,655,937,475,314,483,626,766,427,501,443,130,348,831,
461,030,691,762,510,254,208,760,338,225,725,335,553,911,490,837,692,896,323,
107,132,919,223,682,450,001,925,021,545,404,133,369,965,790,512,241,603,968,
065,182,187,376,747,985,597,306,593,031,196,387,336,959,126,369,172,333,372,
963,479,603,627,924,066,017,620,831,793,582,548,583,552,012,849,827,039,220,
969,202,309,519,952,428,330,607,223,349,992,036,986,082,172,241,706,897,676,
884,566,592,829,014,008,888,498,265,958,062,263,836,259,624,264,255,715,021,
116,105,558,630,135,830,191,056,664,816,717,754,172,510,714,216,287,913,914,
988,529,857,611,359,156,450,133,764,517,791,866,712,981,851,289,285,772,999,
390,486,471,108,888,355,611,402,886,211,544,134,667,125,163,983,804,109,015,
902,160,513,837,291,886,485,688,013,999,141,690,522,265,691,733,934,881,062,
380,557,528,796,369,560,827,242,684,917,837,868,845,547,591,452,420,364,066,
541,113,044,432,577,979,816,186,355,897,636,655,657,262,075,321,290,611,356,
144,559,198,345,315,372,558,313,204,591,299,739,675,722,290,931,090,194,717,
163,970,052,711,166,613,002,094,608,826,293,537,032,834,148,226,895,544,682,
829,890,678,656,783,259,282,739,075,977,661,582,043,158,057,084,482,377,823,
087,687,121,387,639,749,188,055,005,162,102,735,021,590,858,298,756,802,676,
435,128,978,679,966,815,212,684,156,534,927,245,468,115,263,608,263,054,883,
859,226,443,128,593,148,796,289,654,746,230,837,999,137,034,769,557,887,837,
559,708,703,158,556,780,831,310,991,183,374,289,816,661,513,547,046,854,623,
195,089,602,689,664,271,149,796,466,773,392,600,572,897,450,769,418,049,773,
977,641,919,347,650,736,128,257,198,651,373,969,975,622,216,433,456,584,360,
994,673,027,035,157,627,807,897,743,748,335,637,472,826,713,414,312,892,863,
196,226,143,120,744,043,253,531,813,567,085,358,073,983,936,198,163,904,476,
061,632,262,408,624,106,578,323,732,250,804,814,759,224,182,553,798,037,144,
274,637,544,334,605,654,937,076,076,610,749,430,321,671,394,127,626,886,200,
262,460,711,700,941,805,520,732,758,712,168,494,799,065,179,322,746,291,946,
735,462,283,205,672,069,208,466,795,647,841,382,147,677,803,424,228,277,708,
541,633,875,117,874,335,050,655,119,034,712,225,339,614,787,323,059,657,656,
724,177,185,873,623,011,346,860,301,250,054,131,136,986,396,828,237,207,530,
144,134,287,683,305,295,710,320,844,460,120,631,022,190,145,773,512,478,979,
663,283,891,521,116,983,185,383,938,998,509,149,515,166,597,707,072,902,025,
240,226,184,361,127,403,682,938,757,682,516,704,449,871,392,599,171,631,400,
916,561,180,192,765,947,845,203,744,757,972,930,570,574,995,656,144,786,524,
956,836,775,324,113,472,973,783,132,686,115,946,529,918,871,534,654,266,571,
988,003,882,166,161,459,101,664,585,036,325,202,110,982,183,306,526,728,457,
428,039,497,240,937,108,681,932,543,042,387,795,835,998,998,878,425,362,916,
672,995,637,027,192,658,033,831,930,391,645,663,514,830,092,496,382,023,771,
534,927,694,422,202,434,060,058,846,766,527,846,607,263,058,298,317,108,898,
747,641,459,812,092,620,551,626,580,531,210,770,222,948,292,578,239,916,045,
778,596,445,310,737,936,567,804,262,535,750,101,170,059,161,937,416,619,990,
280,159,679,310,994,713,083,413,203,399,240,465,374,152,570,540,682,681,171,
575,854,660,887,437,889,871,404,486,068,898,498,539,424,160,738,429,718,161,
775,838,216,775,066,722,104,796,720,605,491,372,445,577,776,627,025,166,349,
962,004,168,248,323,071,426,872,133,338,401,318,777,071,843,181,044,324,123,
725,727,616,930,645,018,400,830,112,816,294,340,494,010,306,218,395,323,665,
741,208,098,566,245,525,814,143,535,418,100,389,140,749,353,405,048,332,228,
416,121,237,433,610,882,982,014,564,404,767,199,776,709,493,842,970,480,239,
140,274,317,499,214,784,467,132,222,609,538,078,332,907,360,209,029,082,410,
880,999,925,330,508,348,711,947,740,064,112,712,234,799,858,255,971,317,909,
366,142,339,350,185,341,821,791,276,188,871,979,774,148,453,353,820,201,191,
808,516,124,898,760,195,171,278,653,936,470,011,828,678,443,918,093,323,603,
148,462,178,440,418,012,329,712,756,127,262,010,749,226,112,634,348,282,425,
469,567,554,256,557,057,882,244,574,972,842,139,244,636,689,166,357,212,270,
720,331,096,391,920,486,570,134,017,808,959,815,123,873,628,740,089,723,691,
814,954,705,177,091,227,428,691,644,305,676,582,605,143,106,982,592,632,333,
745,509,788,397,823,774,149,039,316,953,915,027,568,581,123,067,804,123,189,
376,815,678,029,902,180,607,940,035,206,585,579,691,445,756,507,846,343,933,
318,183,200,479,517,217,710,583,353,792,574,241,645,721,038,512,034,579,312,
101,363,807,218,309,708,586,101,540,851,133,353,337,738,189,142,423,916,084,
921,140,030,304,856,521,003,077,140,268,672,661,491,714,050,843,707,615,125,
240,745,450,354,368,356,760,722,049,390,098,919,699,255,702,953,651,905,454,
854,050,746,398,944,041,465,115,985,319,951,343,064,763,088,092,126,256,008,
106,144,936,425,829,313,267,609,260,737,423,502,678,792,904,645,782,166,482,
598,203,322,672,483,860,372,064,344,095,760,433,247,955,737,618,090,713,292,
199,687,633,476,885,784,091,844,048,111,411,779,558,268,937,873,580,813,794,
065,123,957,025,624,813,333,968,556,458,443,276,993,422,226,710,512,883,431,
420,783,338,540,457,971,541,754,865,556,638,337,737,791,756,818,404,580,230,
773,937,462,591,601,745,536,657,210,479,554,767,603,394,557,259,813,600,751,
947,528,626,283,792,612,942,186,357,911,620,087,278,239,254,208,737,227,049,
945,314,339,909,188,515,049,642,135,272,535,624,118,811,665,433,286,824,020,
091,575,989,707,264,741,193,493,898,133,890,602,135,785,880,697,861,948,818,
768,055,052,281,049,452,991,104,980,082,377,677,600,351,126,973,015,763,458,
983,604,167,336,588,710,300,508,831,355,246,756,562,295,472,796,181,380,276,
787,349,953,832,968,767,213,211,476,128,843,198,380,347,193,249,443,674,480,
697,403,626,594,273,916,855,203,985,107,221,426,176,801,340,226,633,856,420,
091,125,087,807,883,643,576,811,711,640,240,017,423,102,437,693,092,487,229,
376,704,349,621,969,526,894,305,725,382,692,993,429,576,525,302,919,762,515,
394,260,342,894,286,445,375,802,486,781,743,739,031,212,398,454,131,834,664,
259,509,404,519,988,908,430,692,684,660,393,163,636,311,094,286,516,369,223,
091,278,112,130,419,354,301,702,640,633,197,548,010,126,241,211,818,845,177,
870,751,434,249,287,531,433,501,895,599,346,428,057,173,675,319,413,593,008,
842,133,981,600,029,598,324,201,028,559,270,079,644,239,609,720,530,290,960,
934,772,071,574,858,222,007,939,266,267,789,140,908,642,268,883,242,814,866,
349,422,519,136,819,180,266,128,434,509,472,561,096,650,675,661,392,870,770,
657,066,685,708,770,028,754,365,721,279,790,777,788,720,921,256,236,783,621,
397,183,809,512,121,291,397,882,463,729,284,492,259,214,576,540,611,836,772,
086,065,681,506,810,180,374,129,503,940,256,088,630,549,975,904,343,752,711,
014,387,957,289,044,302,219,455,453,852,513,860,687,099,627,422,682,497,599,
914,320,632,541,750,777,682,754,458,465,295,690,267,299,575,421,760,822,748,
166,744,039,764,565,008,827,246,530,933,116,987,869,908,012,366,798,204,989,
891,496,911,052,859,632,625,573,552,698,118,541,163,421,734,870,506,794,723,
027,311,199,783,467,948,162,702,209,235,474,527,825,756,947,491,992,673,644,
171,067,766,442,760,454,456,358,551,822,069,805,973,544,629,677,497,468,062,
005,890,962,532,065,080,648,960,187,887,356,737,655,129,346,601,883,704,457,
408,928,719,688,984,487,082,010,918,552,291,321,630,182,355,322,789,827,224,
456,819,667,332,116,340,539,083,343,136,492,390,622,095,514,335,387,474,031,
413,768,773,233,995,185,303,159,734,850,979,811,431,593,273,003,952,154,774,
262,779,051,489,486,271,266,177,328,615,487,688,857,428,450,044,989,227,281,
023,244,938,992,482,747,889,448,464,288,891,567,321,779,349,707,401,598,527,
808,224,462,963,826,684,595,066,382,046,834,409,109,795,505,547,310,052,782,
162,298,731,517,809,455,143,950,878,140,404,594,777,421,733,574,443,952,846,
042,625,693,462,579,977,751,741,807,429,662,833,648,388,347,212,381,917,756,
695,919,203,288,085,044,751,937,169,409,242,952,611,701,316,030,049,823,431,
392,815,678,878,716,513,763,540,088,419,693,469,003,431,907,571,427,097,762,
870,474,899,999,275,594,786,124,698,252,684,869,784,584,768,067,106,519,549,
158,829,351,815,458,150,657,336,417,760,863,028,219,493,054,876,464,894,058,
357,049,828,719,019,253,354,913,150,335,458,662,090,496,034,500,726,420,446,
776,396,527,104,898,705,655,022,934,326,713,652,131,394,832,530,033,472,665,
569,054,196,978,333,135,155,536,749,688,300,989,241,011,525,677,381,512,714,
082,098,035,474,732,541,859,636,444,856,045,209,536,100,969,710,169,760,954,
036,024,160,994,253,683,732,532,494,761,178,291,272,077,022,008,509,526,457,
123,796,674,229,654,073,367,050,929,840,719,320,725,762,651,183,556,703,814,
390,623,932,704,232,928,011,603,988,953,078,098,978,989,408,221,022,820,511,
836,651,869,365,889,024,796,528,811,450,738,706,845,192,666,780,856,627,971,
059,349,456,381,320,624,807,967,421,402,088,803,565,093,841,073,862,740,754,
565,198,099,804,046,307,017,649,543,586,307,679,997,651,578,879,723,069,577,
786,151,296,711,140,996,316,511,387,437,103,365,559,179,889,989,736,716,703,
389,620,662,490,608,502,597,227,134,886,326,482,043,163,164,752,245,704,620,
924,716,324,016,968,823,954,234,513,131,834,374,619,651,136,247,388,416,826,
550,803,257,773,237,100,002,675,981,408,949,036,837,788,312,717,594,069,799,
883,629,351,393,811,845,019,944,458,563,098,579,984,638,170,059,235,274,705,
498,453,091,888,777,726,502,430,249,337,338,403,318,678,188,620,045,557,804,
506,669,415,597,668,708,522,312,599,318,849,846,933,222,785,183,315,570,388,
918,371,825,850,617,544,716,226,358,464,133,503,017,764,683,002,494,468,037,
136,131,431,051,846,132,620,000,475,545,323,194,327,405,366,770,856,734,674,
659,542,985,404,117,588,770,765,294,414,929,467,309,383,537,394,550,014,829,
845,385,073,596,745,614,985,300,806,776,044,222,009,402,300,772,758,230,286,
331,760,099,369,919,832,247,728,798,141,565,574,926,659,549,281,490,231,785,
042,538,924,041,105,472,155,186,345,282,519,912,928,781,258,320,857,305,513,
048,885,313,120,483,607,728,114,801,390,006,879,244,330,875,930,388,959,311,
529,070,719,188,302,142,162,085,893,923,669,889,513,060,109,645,802,488,129,
968,783,774,715,970,784,744,196,528,856,568,196,927,992,058,396,145,159,230,
462,626,308,426,789,474,412,873,741,648,493,191,722,298,838,950,258,092,781,
897,289,744,975,832,477,255,190,502,216,059,820,179,614,282,878,340,519,021,
089,156,396,553,892,614,407,382,060,462,124,865,152,146,626,751,855,687,787,
164,597,802,377,057,710,915,161,003,519,901,518,671,855,983,637,963,305,231,
184,434,876,657,827,771,253,391,056,021,092,331,914,447,521,590,392,433,538,
187,338,650,200,905,676,739,412,729,764,164,226,887,007,285,546,950,010,557,
359,438,959,489,996,333,903,699,208,006,532,352,207,992,533,553,595,911,136,
638,643,180,623,848,039,807,187,819,813,847,804,439,595,531,295,219,636,040,
945,614,461,268,513,755,671,615,869,006,490,254,444,777,238,946,566,868,968,
559,005,947,470,908,684,703,557,921,965,060,968,752,450,703,677,038,436,912,
426,291,510,865,367,538,571,750,200,882,271,611,444,469,227,982,697,255,287,
187,736,714,027,552,507,605,360,977,751,590,984,593,293,028,405,861,765,348,
918,142,759,474,635,048,205,987,116,773,191,341,355,237,777,920,322,975,370,
435,473,670,739,475,427,435,205,315,016,160,377,838,367,542,383,662,127,374,
237,244,700,802,524,674,888,868,397,048,203,899,679,982,004,516,618,558,824,
380,215,398,853,296,057,147,399,443,949,292,743,252,079,093,321,198,763,475,
356,527,361,736,433,079,052,658,457,315,011,559,184,437,893,080,237,819,699,
804,074,919,340,070,606,139,511,574,453,378,445,079,471,037,900,826,412,629,
932,191,670,121,373,405,663,053,303,576,618,350,767,249,520,281,514,183,842,
862,518,883,591,677,910,790,700,533,696,952,120,772,640,803,335,361,177,638,
307,297,500,155,198,608,422,567,564,875,032,306,064,974,659,182,535,505,945,
840,959,112,638,795,056,030,657,755,402,684,665,505,103,588,851,880,829,070,
018,349,873,669,008,107,848,047,955,534,386,637,941,363,304,341,854,736,540,
086,765,851,724,830,703,934,897,376,506,109,962,291,375,138,490,470,483,330,
856,461,137,062,691,102,959,868,240,122,701,972,634,939,664,415,476,466,911,
415,268,393,418,677,317,173,142,191,042,502,643,720,501,954,741,089,864,905,
922,785,184,142,583,811,755,011,328,175,763,032,693,015,064,474,115,078,636,
682,859,660,931,104,916,093,805,213,733,097,180,111,576,113,081,284,847,037,
309,850,574,160,677,668,641,465,605,560,690,940,133,157,467,262,632,423,208,
551,579,178,009,377,589,561,386,951,449,252,942,736,649,494,263,691,557,793,
859,153,872,864,481,723,614,589,011,650,648,427,881,351,373,149,126,144,166,
174,551,815,797,422,039,981,016,146,996,628,827,903,369,960,657,491,486,791,
521,411,784,081,265,362,656,955,289,148,737,185,165,861,171,194,689,027,942,
063,816,331,524,172,847,192,624,313,933,368,451,859,876,087,116,442,273,941,
452,646,615,448,419,224,246,569,881,219,094,233,818,593,228,279,105,634,059,
100,057,731,143,069,818,129,817,040,005,702,686,686,296,611,238,165,393,342,
240,974,796,283,568,359,371,112,154,543,321,087,914,547,074,413,546,994,441,
764,894,875,905,021,323,206,654,773,008,800,894,357,677,485,518,931,909,250,
943,957,773,860,569,597,793,034,329,968,204,590,239,775,928,795,262,070,341,
198,668,121,188,050,944,424,589,424,324,214,001,745,262,276,379,602,392,388,
540,714,854,144,578,042,373,564,972,412,131,367,232,958,091,503,211,663,365,
872,914,589,390,969,012,215,981,891,297,376,331,637,853,301,996,951,389,619,
897,904,454,440,050,313,171,560,838,537,106,164,102,654,260,370,066,403,305,
278,074,250,019,964,543,417,034,339,775,087,907,971,312,672,242,802,724,400,
501,729,461,432,174,711,611,287,690,195,714,424,614,958,095,057,197,606,970,
537,050,348,339,075,159,821,671,677,259,395,968,884,204,166,085,001,287,836,
093,806,826,543,470,639,782,415,012,219,204,477,210,736,533,440,423,620,059,
416,149,758,401,743,292,536,189,842,802,103,078,583,722,462,741,748,783,912,
866,743,439,968,671,511,324,456,436,310,733,038,263,860,552,838,083,484,825,
559,391,914,864,322,537,953,397,080,646,059,165,610,882,334,514,370,313,558,
435,429,070,818,914,597,451,414,175,129,086,246,756,267,350,460,451,670,992,
783,379,634,990,220,408,487,711,790,154,304,252,492,639,564,990,035,991,748,
005,194,674,027,090,620,517,583,944,710,097,075,357,226,194,015,773,497,605,
103,676,448,491,177,975,295,620,467,637,542,292,868,149,108,690,638,239,453,
873,592,956,031,906,293,085,517,461,750,223,273,673,042,710,569,676,153,716,
034,047,337,650,287,771,587,884,348,732,592,155,103,882,022,672,660,067,828,
008,033,122,039,100,560,540,407,456,245,782,949,854,576,419,820,222,518,915,
557,692,606,247,382,447,392,113,263,454,801,954,434,796,969,196,504,472,136,
247,660,799,016,617,306,894,025,876,568,847,979,325,330,208,723,621,272,806,
606,761,564,105,137,282,197,579,678,011,560,145,822,577,856,863,343,055,612,
055,740,307,929,410,065,318,230,179,957,564,596,830,954,960,749,594,639,316,
025,720,109,905,183,533,628,559,401,156,448,201,066,067,749,703,621,664,545,
520,921,499,696,105,354,414,185,390,074,137,636,253,407,991,997,706,086,478,
583,337,550,039,280,250,370,652,899,823,714,832,756,111,963,199,176,646,840,
411,501,367,420,388,283,459,183,531,794,730,558,243,906,015,448,201,732,617,
634,303,324,238,955,696,843,384,351,265,654,072,612,696,050,772,966,428,305,
194,515,334,131,546,738,701,420,715,372,289,180,267,024,128,228,298,057,769,
829,980,852,691,170,687,053,023,788,780,781,557,335,332,799,560,899,333,593,
077,514,895,741,086,985,240,019,057,936,690,107,908,772,925,549,812,471,960,
068,071,383,247,428,691,934,139,059,305,149,891,840,997,840,238,902,251,396,
592,777,817,387,781,474,267,451,915,787,590,598,617,987,802,715,819,166,251,
817,548,016,070,903,003,852,764,803,237,355,264,053,042,516,563,046,329,955,
918,511,609,622,350,466,694,463,006,617,935,703,066,664,517,528,901,536,712,
378,362,303,580,402,717,094,214,686,434,492,340,911,357,893,517,720,902,211,
256,895,628,111,795,108,295,046,534,792,911,342,743,222,503,774,799,951,742,
532,196,128,796,332,841,544,796,008,871,938,607,344,135,422,326,185,838,299,
753,414,291,336,945,823,114,799,622,715,212,063,001,011,770,913,240,824,598,
679,717,035,971,975,213,016,318,722,543,417,604,906,314,005,359,660,207,143,
985,920,748,519,408,640,755,655,925,851,823,168,408,529,929,041,253,012,458,
773,946,149,251,829,621,747,504,974,029,697,466,762,786,504,977,072,971,940,
048,012,047,818,092,269,757,506,886,086,746,573,315,450,600,230,329,450,781,
146,460,681,108,034,547,074,073,996,931,207,267,291,014,782,510,908,431,313,
288,937,947,693,470,826,278,291,425,186,216,301,283,780,013,662,470,786,262,
764,622,909,005,825,943,172,855,755,333,379,756,875,162,705,628,344,352,117,
603,971,003,454,534,411,874,851,008,136,839,836,535,717,103,408,645,050,952,
225,205,503,444,286,272,597,902,378,060,556,306,743,110,364,404,719,603,098,
842,668,971,351,940,369,500,968,153,992,837,060,598,644,818,334,497,948,690,
658,523,015,480,475,157,719,372,145,550,894,904,591,657,995,830,048,965,457,
677,835,784,442,647,864,461,053,651,496,878,600,942,469,249,752,427,737,840,
959,370,881,939,524,069,341,115,812,825,790,933,623,777,721,120,354,341,534,
963,197,809,913,029,421,317,554,797,784,220,172,776,188,607,169,352,255,144,
984,077,064,785,269,705,587,858,329,611,120,883,721,108,779,470,552,270,635,
944,076,442,319,029,077,010,646,763,369,339,989,167,185,852,041,008,601,712,
333,760,132,933,211,073,491,357,153,054,097,889,470,153,497,287,945,794,506,
535,706,039,077,576,715,165,659,597,389,005,434,894,440,871,100,069,782,458,
444,080,180,931,218,324,774,245,912,530,885,746,558,339,596,693,483,964,019,
718,157,223,856,529,392,622,783,375,609,657,297,312,935,207,899,787,075,770,
453,444,463,196,645,792,873,427,598,791,521,494,829,249,116,146,544,863,078,
284,470,168,261,420,745,815,757,897,574,981,912,620,404,506,681,252,077,242,
579,261,869,266,542,843,024,169,187,531,314,935,859,130,098,110,614,333,323,
499,213,985,970,802,543,128,362,599,829,142,432,897,912,097,553,574,715,868,
059,711,557,582,513,651,536,376,118,947,832,471,052,512,544,645,538,282,089,
097,597,515,924,959,440,887,498,100,626,878,232,546,166,620,193,283,193,626,
085,052,873,537,512,037,157,656,738,890,887,971,771,731,647,089,564,255,318,
927,736,710,529,272,175,871,232,196,921,924,689,745,932,345,326,024,912,331,
633,899,083,497,380,384,823,186,649,617,729,043,876,480,538,796,575,949,529,
136,224,052,443,518,007,778,886,304,406,139,440,019,373,998,049,472,155,134,
008,748,599,650,767,409,487,628,927,803,916,745,099,432,335,621,512,402,285,
484,261,627,153,660,373,912,216,113,783,929,703,542,391,112,734,236,249,833,
650,733,523,108,178,696,242,746,506,873,655,280,012,648,872,994,137,595,858,
518,827,309,168,269,473,332,446,128,967,279,603,847,685,781,346,739,294,976,
321,161,150,687,301,733,176,006,829,527,073,458,895,796,533,889,900,871,547,
555,293,216,700,344,741,997,791,912,019,321,282,352,835,684,278,532,854,101,
233,622,050,897,952,346,747,583,284,118,200,185,108,077,777,142,868,512,096,
604,318,174,867,000,526,549,769,640,811,100,928,432,419,537,804,414,923,821,
837,112,151,253,497,202,464,824,081,265,337,995,811,163,226,281,979,451,270,
600,385,534,959,832,217,963,130,685,467,653,302,085,978,094,746,228,019,203,
666,343,006,409,550,202,036,388,239,702,149,270,239,814,948,148,434,708,329,
613,788,566,353,034,805,723,704,181,408,310,806,052,453,840,912,144,140,078,
681,197,728,100,905,533,034,973,960,734,149,494,158,543,206,098,399,509,760,
427,473,490,645,843,675,468,958,455,446,583,688,674,327,892,333,231,315,758,
659,388,089,614,185,246,767,188,469,616,444,676,094,705,850,263,590,071,068,
961,708,922,745,694,285,776,917,596,643,716,829,385,657,722,073,563,544,431,
644,618,150,953,004,119,244,124,943,769,828,422,134,661,258,472,562,738,075,
944,141,332,478,582,531,652,212,940,105,722,828,262,905,121,584,098,982,824,
514,390,349,321,741,913,730,460,441,041,377,100,690,187,171,129,261,020,205,
435,812,669,649,934,147,656,720,965,703,919,863,115,734,510,425,998,794,893,
396,154,597,170,223,446,507,709,642,047,240,495,322,353,016,327,936,113,910,
672,623,612,705,506,730,369,990,225,671,389,129,339,285,800,874,767,221,089,
849,713,017,248,552,872,933,752,628,084,864,900,017,825,266,775,736,359,688,
502,902,591,335,338,250,961,636,951,847,207,167,386,180,785,546,710,247,491,
609,393,684,394,554,676,375,645,364,800,373,735,744,720,602,910,902,014,051,
112,337,800,557,666,942,404,271,827,763,672,410,806,965,006,016,423,259,370,
690,543,348,326,378,975,764,222,845,871,086,902,605,643,332,351,553,450,866,
361,594,213,125,878,136,026,759,989,546,164,229,942,551,782,761,999,814,348,
905,533,568,866,584,741,512,502,474,002,142,771,232,521,237,086,587,602,774,
129,335,877,926,947,345,458,949,712,797,540,921,474,387,633,996,970,084,763,
526,349,970,532,199,972,039,174,585,437,400,080,203,040,750,569,000,160,405,
866,934,332,382,467,933,287,176,160,411,466,897,785,280,182,673,155,284,700,
980,318,338,801,932,517,497,223,323,131,106,901,221,104,986,617,583,210,739,
962,603,457,860,682,200,372,441,558,547,182,194,825,184,639,873,895,586,705,
503,421,337,654,058,816,855,995,565,142,532,081,319,159,571,020,000,409,762,
662,933,781,799,349,664,643,938,608,487,331,023,703,109,638,492,303,366,707,
489,343,170,450,951,250,535,927,038,508,506,242,331,474,688,563,632,863,208,
479,056,583,008,990,280,795,254,766,022,365,524,233,055,574,577,346,454,248,
104,471,691,884,831,208,659,232,922,290,121,567,141,014,665,553,580,364,595,
282,076,655,373,216,646,790,826,429,250,265,049,284,205,715,306,733,696,644,
572,920,857,323,545,857,914,348,261,228,289,518,102,274,628,604,684,763,531,
936,084,189,967,514,784,789,637,514,904,213,050,580,112,213,317,573,568,699,
297,665,580,953,051,907,228,381,915,340,938,155,439,088,546,450,548,295,339,
905,872,155,070,335,461,589,531,623,870,966,645,352,616,737,975,463,955,652,
579,712,783,813,815,772,363,213,549,535,345,393,454,476,233,642,619,491,191,
429,681,887,254,339,936,053,234,258,763,076,853,167,461,487,743,175,171,067,
584,905,477,363,511,855,048,136,594,930,518,200,191,297,297,121,891,837,689,
878,331,739,030,287,620,649,348,101,397,850,709,191,363,240,554,497,039,777,
329,924,899,471,708,903,277,164,454,922,081,053,331,208,205,440,533,824,240,
255,404,481,765,999,283,292,550,570,953,315,872,149,177,615,245,855,150,410,
184,755,669,744,517,350,960,497,563,095,171,492,045,902,550,872,838,764,347,
203,132,383,248,880,076,294,608,176,276,919,186,949,179,601,434,850,149,478,
124,102,954,079,920,397,010,691,539,082,476,447,352,681,107,586,684,563,902,
864,434,646,908,036,787,186,813,126,791,614,098,081,478,565,795,732,606,718,
630,995,336,138,707,846,105,524,243,465,017,647,431,703,148,535,223,571,333,
156,627,353,449,309,048,946,259,535,439,619,710,564,603,071,869,183,678,275,
527,520,327,666,532,861,793,678,550,979,985,070,842,471,150,642,556,896,411,
957,063,681,643,505,714,666,020,820,208,094,820,326,314,434,463,799,932,693,
242,245,910,084,108,439,012,060,564,394,408,268,236,614,770,374,958,446,272,
636,416,256,547,699,839,077,155,998,187,049,380,774,552,610,754,627,143,898,
100,627,113,165,696,003,696,847,032,849,244,240,766,264,470,371,726,257,715,
598,020,424,901,299,254,161,349,756,321,861,093,610,072,039,236,459,693,077,
655,419,141,413,124,258,475,415,011,969,780,600,622,536,724,135,084,396,148,
660,726,870,911,144,222,623,931,034,481,586,159,764,459,214,174,489,343,891,
582,878,643,549,565,982,391,995,968,335,774,031,602,509,366,913,265,493,401,
679,605,686,214,115,617,472,056,221,572,944,051,998,862,947,096,535,470,877,
699,351,467,062,420,012,964,431,350,880,969,756,213,516,837,653,812,318,153,
731,872,778,085,509,439,987,598,916,030,606,131,457,868,011,973,520,840,488,
485,625,379,457,168,392,791,519,519,586,354,825,285,999,459,394,767,493,518,
698,385,290,666,346,302,517,510,893,442,599,889,614,652,718,803,933,664,863,
269,068,575,057,592,843,832,584,901,529,916,552,216,922,496,166,574,432,078,
636,224,006,423,483,352,150,222,615,716,908,427,320,888,321,869,513,036,379,
423,299,004,409,017,671,721,118,716,626,784,561,205,675,949,911,601,238,110,
709,041,744,605,613,953,643,668,369,504,370,155,020,221,653,954,014,579,749,
557,254,791,634,106,835,367,277,677,717,016,797,187,550,945,691,008,049,073,
222,098,666,714,248,398,454,306,793,837,409,496,942,241,126,071,897,008,916,
917,178,404,608,857,128,225,262,570,746,077,578,214,511,680,315,053,119,359,
661,646,924,295,269,070,789,483,982,699,124,406,990,843,153,608,837,132,891,
379,154,645,953,297,309,885,898,029,816,229,306,479,185,780,387,782,875,026,
628,386,162,350,020,943,423,764,795,101,885,780,198,722,962,688,020,427,318,
224,333,208,132,121,180,587,481,387,029,036,200,577,675,903,004,034,126,677,
255,767,460,906,843,762,229,031,226,766,327,937,686,631,934,554,460,323,181,
599,393,281,842,166,673,261,687,902,397,602,235,562,084,416,580,289,786,157,
001,919,671,958,476,089,222,733,882,616,308,224,745,750,106,382,613,907,264,
978,338,154,215,017,770,798,073,042,628,939,161,225,081,728,129,308,214,133,
445,876,776,709,616,737,991,891,834,613,134,051,080,992,469,257,784,208,945,
340,632,527,270,030,013,190,836,397,878,822,470,494,208,298,689,431,035,379,
533,879,496,141,821,658,148,776,672,804,147,190,248,177,746,679,249,832,731,
541,275,781,513,105,567,571,285,430,290,194,200,381,928,678,073,196,706,959,
645,764,514,888,854,506,855,505,979,556,911,922,035,731,015,835,754,657,334,
090,494,532,560,910,023,839,656,011,398,905,645,381,628,967,408,247,571,579,
615,218,226,933,609,510,068,073,065,882,286,808,746,281,913,023,187,980,821,
477,902,404,969,231,759,153,464,108,184,352,759,646,855,070,826,333,890,622,
410,858,936,708,651,517,748,986,619,768,616,021,154,989,822,370,455,346,225,
680,935,368,225,225,674,262,097,892,747,723,241,069,082,510,599,511,630,017,
895,846,277,591,501,086,574,256,430,741,715,716,845,327,789,514,234,808,763,
744,420,978,868,121,920,285,879,458,028,753,475,955,799,924,495,940,795,618,
455,179,774,156,396,664,269,486,174,343,329,034,593,200,419,031,126,726,867,
896,323,555,859,422,494,286,358,176,242,758,577,865,551,875,795,811,157,146,
682,905,321,463,094,331,454,858,068,070,220,117,580,169,004,500,328,513,621,
001,793,803,541,975,366,944,553,038,608,729,853,657,482,043,347,425,590,120,
978,087,117,762,102,609,861,298,330,110,315,374,731,105,316,150,084,630,188,
253,172,767,753,996,912,907,547,678,848,317,744,031,241,613,431,375,201,948,
845,464,725,070,499,913,864,750,888,974,432,295,938,384,476,479,285,729,718,
060,196,539,981,712,974,053,168,310,831,406,667,559,514,233,458,187,328,957,
660,977,269,565,634,250,425,310,246,963,386,112,465,479,286,804,903,058,402,
380,648,390,491,762,482,057,782,931,768,409,357,284,527,986,543,849,287,819,
507,737,167,289,648,746,097,484,635,915,526,847,720,691,992,870,841,599,319,
903,864,145,353,720,294,094,656,717,806,076,752,141,174,436,197,889,318,972,
573,896,381,562,884,247,810,048,898,519,048,560,998,693,850,372,096,806,399,
950,413,317,953,761,289,465,016,021,447,951,585,545,745,892,141,824,126,575,
169,217,060,024,915,145,530,069,960,411,085,689,180,302,751,365,624,699,439,
495,901,098,144,622,767,282,780,895,319,864,782,988,425,818,890,912,229,331,
539,179,448,390,069,160,905,446,599,333,193,624,485,587,292,809,288,199,351,
754,540,261,492,040,345,703,974,866,986,863,499,624,229,860,777,975,193,083,
286,719,846,321,858,362,181,165,293,969,870,810,590,902,774,406,937,300,310,
836,051,312,592,899,270,387,404,099,168,057,269,425,141,746,155,565,523,285,
078,928,885,388,497,897,010,735,451,902,324,487,147,928,424,199,700,167,531,
046,553,076,259,628,618,694,142,409,775,091,490,340,168,105,734,610,797,616,
594,312,732,201,334,900,780,078,190,087,628,886,756,729,603,903,580,372,662,
032,831,575,572,892,574,830,363,905,957,348,359,765,739,815,698,547,688,387,
753,912,564,967,220,334,206,082,294,151,606,309,969,136,380,500,199,341,841,
175,316,015,795,342,861,929,908,072,551,974,727,487,536,987,466,803,866,009,
558,115,822,636,849,878,312,545,923,081,123,472,433,639,413,901,351,810,796,
712,536,242,940,014,469,543,952,208,762,772,483,843,621,834,292,895,387,654,
474,925,592,023,048,064,703,568,825,396,029,940,587,221,609,139,768,053,217,
947,079,288,849,281,318,370,223,065,312,714,061,953,418,097,724,611,775,739,
320,401,952,968,471,896,609,126,901,197,821,881,499,468,242,159,443,267,449,
014,832,096,923,867,760,795,775,932,316,731,155,967,700,587,578,342,693,243,
087,174,074,688,395,196,006,873,935,686,788,349,238,853,341,577,100,693,603,
633,028,429,079,613,920,740,170,190,110,947,495,467,854,297,948,007,100,355,
069,414,491,776,588,423,650,105,762,621,571,417,443,145,456,081,654,144,793,
670,838,155,702,838,233,135,572,399,796,611,661,876,523,696,343,076,723,571,
724,491,854,795,100,697,432,194,881,901,737,225,592,788,708,401,778,541,267,
282,771,299,873,298,206,306,733,644,071,994,900,049,010,695,276,185,941,998,
711,387,558,071,201,796,351,588,437,520,645,189,391,188,942,231,182,001,558,
793,791,864,366,468,902,558,377,414,881,868,113,532,770,984,286,403,433,974,
930,077,852,025,856,350,184,964,726,758,394,101,930,694,532,592,641,911,251,
849,271,729,747,100,811,275,858,324,945,516,199,786,265,747,650,321,066,845,
584,687,601,492,273,774,482,058,229,891,924,182,408,960,679,135,532,171,655,
921,010,652,418,622,065,477,749,002,889,173,680,087,853,963,072,122,165,485,
354,497,412,212,649,323,201,836,175,227,059,047,340,208,329,507,585,517,420,
379,197,534,466,962,018,268,381,495,042,729,103,154,473,378,809,304,980,310,
899,407,617,221,958,114,784,406,989,248,730,293,493,904,954,044,055,971,677,
735,371,120,851,736,375,081,533,120,006,454,071,730,685,438,295,862,294,033,
223,313,648,943,954,111,493,171,317,489,046,866,377,479,788,806,019,745,413,
456,000,683,482,117,742,084,343,443,696,170,346,414,485,164,076,925,564,338,
287,902,073,587,343,210,734,969,858,887,251,383,781,357,027,303,177,740,471,
258,783,506,481,836,128,248,095,035,591,806,648,793,515,580,378,827,707,621,
684,349,310,131,266,603,392,276,319,485,593,371,171,933,154,262,384,211,966,
177,122,536,546,273,420,910,054,114,278,808,191,850,311,527,112,880,645,552,
634,531,858,182,834,584,247,454,941,080,952,220,274,929,143,710,260,174,717,
189,030,139,690,144,692,506,012,838,693,591,439,028,693,583,099,681,935,896,
793,793,603,280,410,628,009,812,507,289,865,252,914,909,838,382,059,548,143,
496,209,302,423,066,373,420,973,491,374,090,916,595,530,524,288,560,022,470,
422,240,191,132,883,460,365,735,499,175,077,104,800,579,216,297,607,686,933,
683,368,915,453,344,433,568,511,108,999,912,552,736,208,590,963,632,080,674,
594,778,733,182,782,140,212,182,426,520,820,099,355,786,408,301,646,174,074,
945,540,068,872,935,379,042,896,583,277,125,891,287,826,484,736,581,436,662,
889,459,294,306,213,936,132,230,759,574,200,905,829,832,891,335,816,071,378,
339,664,912,294,517,937,562,109,440,679,835,285,200,600,694,640,769,096,994,
665,205,388,178,678,765,998,472,101,573,263,105,605,704,138,441,588,000,518,
626,788,967,606,643,745,857,770,461,527,989,788,548,409,161,349,259,686,536,
943,184,410,674,703,025,380,360,139,345,214,537,644,481,024,197,644,871,719,
706,202,096,381,686,243,587,205,485,141,261,192,036,246,933,098,897,969,367,
996,696,031,556,657,052,689,846,748,545,754,851,194,583,783,189,699,815,581,
032,885,889,782,720,694,975,216,987,049,519,530,846,232,408,304,741,011,486,
362,568,909,027,685,138,812,985,707,288,143,286,687,076,020,671,910,321,795,
768,770,951,118,798,061,029,713,282,938,594,553,673,532,115,445,490,402,050,
145,647,562,180,791,225,024,987,213,067,705,710,438,955,461,559,319,266,332,
421,483,147,271,561,337,858,712,463,174,240,599,019,847,887,274,356,511,591,
132,166,325,778,377,380,183,157,170,198,477,043,036,485,264,798,864,680,853,
321,126,251,428,281,875,720,644,602,835,940,798,525,566,911,341,916,676,651,
021,656,883,639,744,550,572,869,417,622,550,453,638,223,124,759,329,199,929,
153,722,388,469,759,448,600,199,188,666,936,710,144,248,550,167,509,624,762,
670,066,972,323,787,544,234,538,778,954,055,733,618,002,546,564,959,462,847,
618,177,082,307,683,991,555,033,344,620,212,348,115,381,321,986,276,667,407,
112,086,840,275,163,094,613,344,639,823,969,931,531,454,643,291,755,284,430,
799,279,510,488,555,666,506,211,629,232,413,709,834,733,965,094,862,049,153,
243,947,175,177,989,764,362,932,049,271,260,451,781,458,724,785,421,164,005,
386,118,881,704,233,698,648,013,979,893,661,446,756,403,604,985,608,913,444,
183,160,724,483,364,000,170,288,802,405,303,761,714,523,647,316,884,916,346,
318,866,727,163,760,704,875,779,877,095,706,072,173,350,883,338,727,027,622,
489,981,303,867,294,946,997,333,031,664,951,626,012,446,168,801,750,629,041,
008,011,310,815,385,450,397,755,898,886,081,216,115,101,701,488,646,993,659,
313,533,142,454,595,668,874,321,884,269,722,180,394,020,361,250,666,103,093,
077,803,871,888,455,597,426,831,917,000,971,107,003,316,009,592,692,932,180,
621,073,379,505,716,648,306,429,244,110,514,752,120,001,607,297,548,530,399,
692,142,233,242,665,761,382,335,339,959,281,219,543,666,868,543,776,985,233,
695,750,985,931,968,449,244,547,912,336,468,830,954,401,269,416,566,439,186,
903,165,462,170,710,111,122,599,673,377,740,231,963,094,000,515,518,954,556,
095,438,407,668,179,872,242,207,458,759,806,518,067,315,100,332,282,259,679,
667,097,236,925,255,438,899,724,620,855,126,628,460,942,704,287,907,213,345,
339,836,245,052,850,740,378,552,504,060,192,107,828,233,022,232,188,095,902,
803,891,918,624,717,916,808,477,879,662,321,540,579,712,151,503,821,658,609,
106,573,390,961,051,103,878,468,925,583,406,683,958,614,988,631,512,121,518,
966,472,228,194,576,939,352,668,078,913,314,890,153,520,702,341,405,163,581,
572,345,753,449,729,911,692,107,350,121,337,414,290,744,247,996,064,795,395,
359,492,914,024,001,718,684,963,009,797,905,852,874,549,187,744,414,459,254,
711,352,149,120,203,678,599,236,032,109,125,373,800,650,462,104,773,265,953,
926,115,527,808,114,098,296,512,013,170,283,856,512,068,863,873,592,993,932,
395,107,230,244,704,834,132,463,343,625,763,150,545,688,721,816,278,056,127,
056,572,459,264,318,827,059,554,014,031,561,370,197,840,918,649,822,015,687,
021,505,040,932,859,974,025,400,039,193,181,759,495,543,919,332,435,784,792,
394,887,672,396,303,277,508,767,164,038,447,882,948,715,561,134,345,744,843,
333,723,964,965,571,434,970,480,682,117,434,579,411,645,340,445,156,006,647,
619,776,959,618,869,338,296,995,999,909,387,752,119,096,567,209,935,586,910,
171,885,630,178,030,982,032,657,629,400,977,645,000,510,389,702,681,636,737,
351,399,450,262,462,452,191,331,581,361,221,971,330,042,826,085,420,714,132,
539,405,252,647,837,485,228,944,129,387,420,113,254,514,319,294,898,053,365,
927,211,262,663,336,861,483,616,911,773,980,972,179,236,241,498,205,246,593,
000,915,696,714,006,300,143,572,202,668,389,045,887,234,248,894,315,030,580,
570,437,801,537,585,104,490,024,722,435,978,500,005,117,753,138,484,331,530,
599,043,750,307,035,642,266,107,244,836,295,051,201,722,165,217,010,101,881,
376,397,489,048,113,992,983,897,025,232,769,361,353,747,014,807,452,890,365,
418,929,769,672,578,563,219,928,697,436,926,652,797,849,107,180,043,247,972,
265,421,706,823,022,602,710,689,252,656,897,607,152,603,059,895,705,714,696,
916,356,232,416,690,274,544,263,984,304,625,910,911,858,784,742,281,067,765,
032,007,925,337,249,981,847,145,312,878,877,870,164,248,689,079,219,007,958,
586,604,466,016,208,815,023,543,679,196,720,911,621,895,455,176,479,105,207,
796,027,621,203,416,826,380,058,575,918,311,330,657,053,954,466,382,632,099,
168,763,304,507,825,326,122,759,402,625,488,437,718,372,210,174,839,976,028,
660,143,887,483,778,041,102,613,057,995,880,083,433,351,701,637,447,013,810,
958,959,235,477,626,474,353,603,074,465,651,491,078,488,894,177,624,719,446,
621,757,566,585,189,334,992,399,552,163,622,288,211,435,955,261,624,840,269,
534,985,695,772,949,340,192,192,131,234,461,158,680,848,159,906,865,341,691,
024,441,648,696,332,522,979,551,971,646,649,209,101,087,561,301,854,710,611,
644,388,079,667,148,769,870,164,530,339,884,039,056,393,213,577,067,537,305,
780,399,238,997,583,689,317,156,847,047,118,933,219,688,934,488,553,838,800,
686,161,706,892,139,264,022,914,208,932,652,236,575,118,583,773,141,544,664,
237,143,340,028,793,233,518,024,633,628,264,036,411,947,052,724,866,498,663,
632,814,985,720,854,473,794,295,597,570,523,234,566,012,715,964,388,369,272,
264,901,693,509,318,592,834,142,526,027,656,880,892,918,870,767,797,471,387,
217,000,648,721,041,656,377,143,562,793,269,107,038,471,323,482,359,770,581,
086,414,710,336,036,118,496,787,730,841,347,054,187,257,735,722,454,573,074,
253,599,442,590,124,297,725,136,612,696,683,733,097,145,541,346,080,273,819,
929,956,792,067,753,315,486,654,347,719,589,068,428,716,767,077,433,062,075,
879,463,478,806,951,873,883,782,034,472,186,569,849,661,113,830,839,167,782,
325,682,760,557,626,738,837,758,383,912,984,502,692,211,816,876,863,511,095,
606,698,973,358,354,057,861,025,407,491,781,647,807,012,835,829,423,118,961,
253,669,938,858,314,978,939,686,322,841,296,716,269,747,074,693,686,029,259,
305,788,860,674,670,273,885,077,288,866,837,319,201,195,467,438,759,012,833,
578,896,511,522,583,347,716,476,066,731,424,900,572,854,607,989,703,998,215,
174,812,432,566,930,355,666,701,101,086,711,583,710,503,635,655,625,683,746,
126,960,613,970,929,561,952,769,635,864,068,321,631,385,265,555,136,864,634,
158,025,843,953,430,541,716,444,936,150,982,481,816,841,380,584,073,233,506,
201,559,284,913,849,435,752,239,363,532,135,235,501,319,526,777,065,628,478,
705,048,493,962,650,562,857,039,298,117,527,589,494,764,747,077,919,876,586,
683,307,491,804,920,135,287,623,046,631,264,403,957,938,670,571,764,006,190,
987,114,818,250,014,577,776,935,723,818,469,192,826,263,296,961,580,220,857,
337,785,493,874,445,874,304,705,464,507,633,992,052,095,805,667,262,796,881,
570,161,381,048,753,005,075,597,960,539,130,706,987,382,149,866,501,499,840,
352,773,320,761,468,363,555,741,739,301,319,409,421,515,639,403,017,946,487,
416,479,881,624,972,350,611,958,691,492,956,222,574,214,755,061,510,585,720,
747,000,896,501,548,284,583,961,830,685,408,153,530,725,946,629,818,270,363,
340,432,537,637,091,768,200,864,180,725,457,712,618,230,645,402,487,808,045,
422,660,980,428,539,101,231,898,940,479,108,790,410,489,025,859,496,056,255,
036,308,166,117,227,828,402,788,852,353,199,953,039,277,318,511,757,628,014,
306,659,338,876,839,768,797,756,489,783,514,001,333,507,399,060,222,356,699,
055,480,968,769,323,489,913,213,658,745,772,214,175,046,641,333,238,692,785,
900,432,400,736,099,875,073,220,405,992,134,471,646,900,330,673,620,151,336,
574,617,565,343,208,326,185,728,095,229,937,340,711,501,358,435,828,784,758,
689,957,605,635,149,554,145,488,046,662,598,547,799,457,726,939,616,455,854,
528,405,245,572,681,167,841,733,878,335,918,844,792,977,657,450,892,803,042,
906,662,556,226,858,647,429,866,946,388,388,889,513,320,967,267,422,983,048,
347,126,141,814,276,698,377,825,543,580,931,682,500,512,394,145,504,168,871,
888,673,977,410,196,217,146,701,802,470,014,790,292,550,664,520,747,720,500,
012,356,119,718,739,349,624,092,400,714,986,775,092,256,035,257,180,157,249,
009,696,964,122,190,016,935,080,916,999,894,858,601,508,981,132,797,155,236,
755,840,573,683,373,212,256,311,481,743,762,698,227,711,804,773,357,862,947,
401,008,437,680,056,014,849,566,795,872,996,593,028,232,623,425,806,012,589,
888,074,987,515,231,399,960,920,941,766,961,650,098,813,613,106,697,969,677,
403,259,267,461,042,146,094,503,714,875,375,470,143,635,572,345,472,840,749,
462,591,959,919,325,854,951,680,200,682,687,971,220,558,219,006,191,863,796,
257,547,126,835,478,581,772,749,986,850,775,021,624,635,068,437,767,146,362,
870,003,585,977,725,517,144,014,179,217,227,244,534,217,172,619,364,150,228,
763,602,573,543,180,673,668,120,286,065,254,639,451,854,387,470,504,922,927,
387,827,051,017,147,861,370,255,180,858,647,823,482,769,136,162,666,833,344,
803,357,340,149,289,342,299,183,572,412,533,882,248,604,062,287,218,467,353,
778,134,062,809,581,290,062,553,388,553,817,002,241,302,363,155,040,085,525,
878,266,982,670,198,434,061,244,587,254,024,275,146,792,123,073,661,118,895,
553,074,463,664,984,269,455,762,601,877,946,341,626,409,692,431,209,220,553,
491,909,383,240,963,687,358,472,097,967,368,465,827,574,281,916,299,029,398,
491,624,149,434,272,317,772,177,111,164,823,419,210,555,392,337,108,431,104,
156,632,093,460,146,202,263,294,699,490,402,556,338,575,505,346,746,709,077,
998,110,986,816,935,691,962,131,758,713,914,920,366,170,338,997,567,934,148,
125,253,233,104,501,039,846,835,628,236,377,314,842,016,435,752,492,864,731,
332,046,016,763,783,373,113,045,642,013,740,613,306,800,826,976,737,439,022,
970,404,307,419,805,550,661,531,626,231,320,267,945,611,417,783,476,367,742,
278,802,360,219,853,237,338,717,037,241,582,526,366,334,495,739,077,536,551,
282,517,294,041,814,387,970,255,772,429,481,308,080,107,026,946,302,854,179,
485,927,667,067,286,139,862,258,964,554,796,715,887,559,342,704,582,079,808,
772,962,824,739,552,167,905,011,896,270,565,654,357,974,369,045,904,066,327,
586,547,466,536,391,424,821,948,760,472,653,594,451,407,325,000,391,368,572,
390,471,110,629,908,975,599,633,187,306,268,051,079,153,568,142,809,106,283,
686,724,256,130,415,652,365,475,924,251,323,567,327,422,206,143,197,006,158,
217,114,324,174,773,883,549,615,087,765,857,902,450,167,072,953,092,954,428,
666,540,145,843,817,200,603,549,971,960,151,486,911,025,175,294,599,886,255,
657,751,756,608,352,218,611,046,438,975,706,194,554,202,011,184,852,789,128,
597,169,475,718,160,245,105,503,714,675,897,682,884,320,219,966,675,474,669,
036,672,405,313,821,238,605,361,516,225,937,083,380,896,027,178,418,700,201,
213,511,469,776,946,002,238,849,106,540,757,697,502,336,070,437,705,269,532,
367,534,082,311,483,990,684,142,485,879,623,276,386,296,720,775,384,025,768,
526,474,248,765,154,826,742,896,801,556,569,262,066,272,773,465,731,193,851,
564,059,969,289,146,489,922,964,442,714,834,515,588,852,979,659,310,401,460,
341,038,894,911,788,622,177,216,586,114,688,395,014,389,830,683,901,786,366,
705,215,969,442,293,098,573,676,227,514,880,727,533,788,606,083,618,044,786,
737,227,012,304,280,019,519,555,819,889,116,035,031,378,869,040,672,491,596,
833,101,008,760,346,829,855,566,214,242,524,665,814,069,845,625,731,610,430,
835,684,496,298,172,196,181,520,839,407,796,310,456,825,195,176,283,092,981,
400,376,284,788,116,063,479,750,610,554,228,691,057,775,172,461,077,787,987,
994,944,383,132,206,887,793,325,213,292,711,531,921,573,524,157,697,619,963,
680,873,510,668,925,960,748,426,697,167,019,964,115,117,371,619,212,064,785,
935,942,150,502,947,104,592,463,302,624,621,498,926,338,332,776,283,612,741,
848,682,416,660,334,830,919,963,635,011,679,527,106,992,540,579,244,449,406,
167,962,216,060,636,215,609,978,285,581,885,254,324,330,942,472,459,855,360,
252,978,200,465,417,841,060,900,853,260,169,066,495,268,172,609,906,248,919,
544,601,631,473,856,075,078,658,539,866,166,231,881,328,890,374,409,641,803,
704,966,702,046,836,988,598,379,022,721,667,398,111,296,567,565,427,495,870,
724,998,727,715,073,038,826,351,107,187,928,431,825,409,865,572,187,435,070,
911,206,501,806,016,413,823,503,549,783,381,499,418,543,721,825,722,939,837,
156,193,974,827,667,379,364,425,394,031,411,725,302,632,403,024,073,922,170,
692,811,107,664,547,677,294,799,255,187,070,721,067,061,037,455,792,267,685,
034,702,401,170,446,994,648,245,887,438,892,473,378,689,740,599,149,090,704,
189,538,249,947,938,346,956,610,000,418,324,489,254,942,482,099,250,507,381,
880,248,559,219,567,375,814,749,504,876,520,637,394,247,907,686,403,305,810,
343,796,430,010,271,147,416,347,472,637,012,979,348,120,851,399,013,688,111,
934,012,067,334,020,347,504,977,846,676,386,316,835,895,544,530,587,379,120,
427,991,555,148,141,063,400,632,914,283,609,430,086,661,428,751,171,008,321,
326,583,300,455,258,315,155,284,514,292,419,808,903,646,125,892,928,574,109,
828,817,355,844,437,953,271,882,737,432,161,102,578,693,727,023,903,666,726,
479,286,942,702,578,991,496,583,723,838,323,680,896,608,668,923,184,641,876,
903,137,074,137,825,094,072,226,872,554,742,502,216,131,078,289,767,095,987,
027,284,758,764,005,372,982,667,069,634,303,491,149,461,550,070,299,210,700,
174,210,782,765,925,883,972,962,068,450,715,856,254,583,638,705,083,316,203,
532,937,671,325,015,580,805,311,065,911,866,261,113,608,223,794,300,383,999,
608,397,771,583,705,223,646,118,063,181,488,156,816,196,906,929,407,488,451,
816,216,809,978,287,723,424,495,882,208,816,689,816,685,058,212,871,567,439,
890,481,883,146,918,467,049,290,442,878,211,736,566,323,967,278,256,842,104,
314,991,470,656,802,316,294,403,750,359,570,255,919,567,127,314,103,664,148,
600,565,753,918,066,771,816,016,888,181,763,012,767,813,231,772,286,920,684,
460,644,800,933,266,719,390,768,541,686,005,614,690,068,469,111,298,526,306,
150,821,583,682,554,881,788,742,609,210,134,090,413,653,890,236,151,464,124,
784,226,797,194,941,067,831,906,801,969,175,898,106,681,079,313,354,471,308,
989,715,610,980,978,235,493,255,471,574,264,531,942,194,432,900,327,099,383,
461,727,594,297,139,102,562,975,988,882,836,713,580,153,404,889,008,189,607,
650,718,332,953,738,675,472,515,261,769,200,968,421,241,136,412,871,861,399,
425,277,637,348,191,830,863,330,494,865,667,943,401,018,475,206,988,737,444,
223,532,071,303,481,565,652,681,662,282,132,766,422,798,288,241,683,303,347,
449,959,636,024,465,012,071,005,284,145,708,189,196,964,874,164,068,968,724,
728,098,118,340,503,240,173,149,081,680,342,905,005,421,229,692,633,402,291,
295,471,130,741,931,395,722,512,712,257,503,824,668,845,161,781,492,064,626,
973,990,439,296,569,849,177,621,905,486,492,829,627,892,529,314,901,882,962,
958,211,165,205,374,536,544,162,759,165,557,507,823,257,728,921,852,819,921,
484,495,144,763,412,992,364,705,437,167,388,906,280,774,673,238,801,355,117,
634,318,792,400,518,768,421,869,953,748,002,710,961,766,582,174,198,291,427,
068,178,069,344,223,732,722,062,596,518,564,638,655,801,578,060,799,612,096,
428,924,649,123,772,375,428,362,700,746,199,688,983,194,744,397,815,663,862,
641,412,952,587,896,922,742,616,617,697,739,035,246,497,349,446,382,989,452,
540,451,096,246,338,720,001,958,979,380,399,074,376,323,982,852,292,280,400,
526,370,741,447,621,925,754,218,907,202,412,835,072,005,584,108,033,683,781,
002,454,884,960,405,274,969,307,752,509,407,953,748,213,070,274,441,861,705,
199,503,402,971,251,098,047,548,247,790,804,683,130,216,732,986,967,193,965,
218,264,479,490,102,761,026,843,529,797,054,142,354,251,046,618,473,079,140,
349,686,271,529,931,856,183,028,036,131,950,093,605,074,795,970,080,164,550,
414,790,677,079,410,148,823,820,592,749,970,128,741,224,265,467,369,775,496,
298,443,085,265,374,127,073,854,570,853,215,317,991,006,053,227,530,865,509,
468,312,119,301,845,066,310,382,148,262,004,305,558,769,382,067,820,257,145,
680,231,694,908,739,434,860,251,901,684,535,085,362,062,741,443,946,564,027,
400,643,846,021,346,140,542,423,670,554,970,045,792,434,435,516,281,389,228,
616,416,521,937,738,410,393,662,864,964,202,335,774,430,839,004,263,525,204,
487,006,518,383,983,731,013,267,367,443,225,103,048,083,548,932,267,217,062,
077,457,152,019,703,634,131,545,771,733,816,357,208,351,132,881,779,832,103,
141,959,253,883,108,548,377,131,784,101,619,767,195,023,046,423,062,589,518,
006,627,385,503,162,801,344,467,795,927,326,313,326,354,899,547,162,458,971,
442,614,620,677,062,290,045,663,180,915,803,136,760,120,833,147,483,201,918,
564,374,756,705,351,463,919,633,115,206,002,199,808,622,536,904,057,643,337,
800,989,450,665,617,264,810,624,829,463,340,734,111,735,067,018,173,760,884,
617,221,086,577,047,245,759,709,169,228,307,764,629,792,910,814,406,047,776,
321,782,897,817,163,836,555,438,888,164,000,591,757,515,931,444,010,183,064,
917,385,572,999,667,887,195,141,440,055,047,495,041,444,579,113,133,132,105,
202,128,803,823,815,392,360,077,122,602,256,613,078,900,859,233,741,123,553,
606,551,364,376,353,670,354,276,247,239,225,325,098,985,636,427,317,497,541,
587,955,084,043,962,791,936,501,006,589,800,400,297,343,250,861,389,101,716,
877,320,772,911,453,714,176,622,632,830,693,394,933,129,489,190,856,872,480,
968,668,088,067,038,127,323,910,073,122,603,006,898,638,008,374,413,499,714,
866,920,325,606,206,690,922,069,641,346,430,255,089,497,225,284,375,841,411,
290,938,997,017,413,041,040,787,740,120,849,825,479,465,992,334,664,589,220,
332,055,478,870,606,090,640,036,460,084,319,614,065,034,291,505,991,174,403,
761,359,338,480,522,866,272,253,513,676,832,252,744,493,428,476,985,747,864,
930,207,308,044,834,185,169,918,667,736,192,396,941,435,286,181,579,750,288,
539,239,857,723,475,782,060,120,029,676,484,039,287,955,896,151,189,041,828,
416,607,167,574,189,337,992,436,145,161,189,748,748,978,472,227,780,651,717,
322,159,623,111,830,844,503,586,471,362,060,616,501,385,575,786,455,981,398,
126,590,888,937,282,453,161,517,433,309,976,746,931,409,071,581,938,312,392,
914,968,762,018,128,840,378,055,108,183,009,452,919,335,782,049,902,262,177,
881,037,313,491,516,739,768,666,655,624,306,742,862,650,240,731,948,993,861,
225,846,874,671,583,625,206,072,718,357,482,783,964,736,592,497,518,496,061,
768,132,131,348,141,249,051,585,885,143,120,101,277,587,787,638,042,637,032,
002,086,639,794,452,574,616,775,293,243,692,059,581,220,321,977,892,862,554,
632,893,344,078,176,962,725,810,558,273,491,675,769,532,057,046,846,879,499,
528,905,424,184,097,403,180,890,837,296,560,643,134,037,893,435,530,153,638,
697,854,700,591,184,799,962,784,090,562,623,983,982,035,773,946,353,710,407,
727,674,688,712,939,604,370,577,820,169,670,939,032,308,324,136,364,418,340,
768,742,193,837,329,298,960,095,611,217,754,484,914,129,766,288,604,208,171,
454,180,869,756,321,869,528,316,372,331,686,474,122,280,122,022,642,701,386,
407,965,135,584,818,799,219,153,180,681,426,632,583,235,221,683,398,064,384,
240,701,284,140,659,798,628,989,389,259,339,188,546,925,880,435,477,435,066,
515,574,373,789,798,832,604,868,227,020,980,912,150,866,201,501,008,595,170,
386,210,066,707,258,878,980,770,131,500,497,748,154,134,239,119,366,283,796,
459,676,968,530,056,831,482,222,682,511,131,168,900,302,125,717,668,942,707,
251,545,752,939,893,379,149,329,123,117,361,635,252,822,728,571,207,189,967,
219,832,783,261,560,282,490,369,654,011,157,496,102,811,314,808,900,824,129,
498,877,080,999,748,759,628,617,967,912,617,972,312,244,180,895,789,521,831,
664,314,247,600,990,176,206,468,893,021,598,943,991,774,946,942,292,940,256,
812,973,324,441,000,619,364,748,978,358,713,901,257,584,582,814,833,485,089,
743,280,807,051,539,987,603,381,218,551,126,641,959,760,859,342,383,191,811,
734,168,522,511,880,129,777,055,559,501,743,566,916,430,101,171,205,087,844,
397,823,350,975,839,148,526,314,734,679,409,354,483,721,339,149,070,579,901,
073,052,770,341,903,635,183,373,041,341,233,117,104,789,755,243,373,876,100,
813,657,276,227,223,660,055,901,741,920,974,066,685,262,673,414,419,964,571,
329,896,192,397,541,105,668,513,228,839,965,236,644,964,788,722,065,535,019,
378,328,111,121,425,018,417,295,914,291,249,228,156,150,148,997,357,978,855,
860,420,314,379,076,440,054,950,713,567,946,154,564,498,250,848,674,803,623,
779,757,664,065,932,822,199,790,470,091,634,029,702,494,260,682,860,837,358,
305,395,481,654,408,242,348,885,839,426,034,028,228,673,417,226,906,161,209,
262,171,068,639,246,952,070,884,169,498,627,636,270,674,246,371,269,622,582,
606,189,420,928,853,074,638,440,752,642,467,770,736,823,906,490,095,708,038,
403,675,898,854,452,043,676,880,066,091,870,224,758,953,382,343,107,720,718,
587,965,429,913,549,967,336,888,204,452,139,220,403,254,907,380,104,480,013,
193,905,887,002,325,328,413,450,960,287,005,284,763,269,250,872,548,506,492,
931,444,535,579,275,299,267,185,704,317,359,297,955,074,376,316,250,355,562,
717,699,129,941,673,384,049,092,084,425,136,737,741,040,238,970,122,920,924,
463,339,425,015,087,523,696,166,990,521,148,238,831,087,386,097,656,755,323,
595,521,380,846,900,380,010,090,486,333,751,932,421,393,548,909,404,148,931,
971,549,392,453,875,795,983,010,759,188,184,430,061,683,290,037,536,865,850,
595,964,875,397,905,792,732,445,097,460,490,415,893,933,741,066,628,484,501,
702,374,692,388,872,754,414,708,557,047,372,471,479,506,907,843,504,869,032,
715,037,780,961,766,626,564,693,925,639,313,678,747,005,687,206,560,810,791,
035,807,108,115,947,302,345,779,987,618,771,710,434,145,718,473,323,063,331,
758,368,567,440,880,541,539,376,408,388,091,378,081,053,875,166,565,838,958,
553,416,852,696,131,628,903,449,909,232,072,785,722,412,860,058,705,046,137,
953,885,522,207,949,298,110,343,797,990,526,248,154,562,893,941,622,658,150,
311,605,775,301,127,882,940,228,868,852,544,074,672,358,611,172,522,945,756,
181,134,576,167,669,773,680,981,125,581,273,603,516,648,792,264,946,646,832,
560,191,285,372,115,298,663,805,427,122,888,200,589,065,912,961,324,502,115,
068,423,141,359,941,365,791,140,063,842,601,033,312,535,927,613,778,727,750,
868,840,053,699,999,978,688,099,459,833,691,456,854,769,191,740,640,208,837,
237,939,995,849,430,473,241,726,371,200,408,960,920,551,097,281,084,273,764,
816,279,916,260,433,466,549,428,705,503,849,603,793,952,131,649,172,612,767,
418,757,077,778,830,945,673,342,574,895,276,205,208,738,247,739,979,754,711,
246,372,541,661,920,207,031,986,591,397,598,894,038,514,489,517,293,173,813,
744,203,768,574,428,710,967,078,415,087,605,671,679,737,978,768,227,208,234,
482,954,602,102,711,866,049,096,999,856,659,484,526,715,974,091,953,992,108,
828,830,941,556,077,610,382,961,328,562,344,709,974,481,452,180,571,042,293,
678,366,912,015,510,695,730,541,837,803,664,234,746,953,776,043,555,782,856,
213,704,603,193,525,610,064,427,927,873,533,936,410,080,117,805,151,127,411,
874,434,021,837,266,607,900,057,377,473,926,632,922,181,003,035,247,440,138,
106,279,488,401,250,788,775,399,999,512,891,760,378,022,061,843,640,041,469,
409,269,997,699,584,474,076,153,502,385,814,189,726,805,249,595,616,185,455,
050,772,990,703,775,300,156,441,392,006,684,578,416,717,196,576,838,762,720,
536,708,697,912,074,904,133,539,936,886,104,223,465,806,415,877,155,992,498,
216,629,014,561,876,133,547,815,920,132,345,490,004,301,857,774,086,326,798,
666,674,521,386,943,851,864,444,207,418,689,044,382,209,534,269,272,664,586,
429,148,892,066,805,100,108,191,711,498,048,044,911,474,302,219,986,894,278,
079,588,300,190,835,421,459,664,317,292,266,633,486,301,081,692,642,731,767,
459,385,946,064,506,356,937,875,444,331,376,841,023,360,471,722,119,423,090,
520,896,846,318,358,086,891,634,373,415,477,409,668,807,464,770,141,965,469,
791,402,512,009,949,948,687,690,153,150,594,007,270,825,863,040,042,770,853,
040,784,815,897,440,619,397,216,108,366,371,885,848,395,372,866,365,781,692,
070,199,335,497,470,803,925,666,214,724,815,887,671,711,651,093,260,931,545,
944,406,674,942,190,511,179,140,614,092,466,809,327,739,392,331,951,128,325,
680,918,799,271,608,051,892,474,458,546,887,803,647,612,918,607,977,485,317,
391,767,034,288,498,509,410,692,986,757,465,435,820,121,017,323,762,812,012,
774,746,602,515,056,120,277,514,438,065,163,224,391,053,208,291,236,820,488,
093,737,019,489,467,879,446,783,070,273,954,343,188,716,497,832,871,510,189,
795,511,035,559,816,352,590,127,955,055,722,172,977,782,332,129,427,268,535,
823,023,445,473,623,244,429,798,474,498,550,287,507,540,591,700,103,438,308,
259,278,326,685,970,832,596,831,330,275,532,104,453,730,813,000,694,873,258,
445,277,898,013,835,018,917,445,507,421,880,672,968,914,579,332,308,783,491,
511,833,369,444,960,433,735,344,874,375,269,690,309,332,686,684,198,385,921,
538,544,185,439,066,251,854,795,493,986,602,564,890,916,011,895,859,213,807,
083,141,451,973,415,727,858,541,825,872,704,310,613,936,029,620,005,972,734,
643,283,422,385,412,239,353,077,296,594,842,090,165,348,706,998,638,406,854,
351,775,039,541,890,814,858,805,957,224,143,656,298,808,627,204,716,810,579,
964,105,814,896,816,217,555,368,528,319,353,345,806,688,143,828,955,661,830,
413,748,053,794,441,437,537,866,166,240,562,423,911,534,340,481,788,266,818,
026,601,054,267,149,290,264,792,611,705,169,921,636,011,917,099,760,641,321,
454,950,055,416,788,240,268,405,055,864,240,500,904,988,716,554,829,909,525,
665,305,154,078,128,384,917,930,761,961,093,651,038,770,869,714,595,152,998,
407,346,551,059,597,150,712,078,085,943,465,779,728,876,197,620,512,003,409,
310,443,184,313,101,489,483,191,071,654,882,763,008,454,335,464,635,988,576,
136,691,841,984,209,034,978,984,358,470,197,544,965,839,928,069,941,945,558,
333,077,794,467,703,247,524,632,450,111,046,845,570,748,242,965,147,010,808,
572,552,217,689,301,757,610,183,298,953,329,320,655,429,690,566,795,334,236,
941,144,590,041,111,882,675,673,525,648,954,602,463,147,772,408,239,446,028,
095,325,890,949,788,578,637,663,540,412,518,581,197,746,307,250,219,131,642,
166,954,425,138,720,712,625,623,604,155,949,153,666,601,843,412,987,186,554,
242,821,211,429,404,267,736,431,224,616,107,296,531,246,544,991,514,084,193,
086,503,590,319,664,854,082,932,174,937,710,798,253,533,694,294,819,294,329,
022,373,645,895,588,366,286,213,316,929,262,435,680,525,143,553,448,309,719,
201,907,354,087,409,094,419,417,833,493,908,676,077,080,992,209,766,460,299,
295,931,588,415,950,212,151,223,138,408,825,757,505,776,990,322,235,023,295,
532,387,489,505,171,199,657,785,876,595,129,645,415,300,110,980,610,135,514,
205,253,548,389,092,710,725,479,600,284,777,956,454,352,926,361,924,295,524,
318,683,474,611,336,381,268,501,335,641,565,941,115,344,871,206,245,423,026,
735,705,151,354,033,542,357,677,592,749,753,175,776,478,807,938,180,690,106,
414,030,707,270,658,255,924,519,854,216,980,686,880,837,260,270,629,231,073,
371,859,060,068,283,244,420,942,833,504,725,666,651,462,305,398,563,993,078,
455,926,811,858,838,723,544,594,348,183,869,118,243,099,721,233,126,437,234,
552,530,120,770,432,386,733,570,676,795,619,553,297,326,864,065,261,927,341,
195,132,923,929,084,675,417,527,897,321,506,477,716,666,056,093,802,129,848,
212,247,511,917,957,620,382,251,312,664,507,209,358,223,190,620,080,127,718,
606,344,058,501,810,732,311,777,574,211,799,817,598,430,185,470,818,910,337,
716,864,033,320,429,954,512,591,904,522,419,172,261,001,636,630,291,577,544,
051,319,155,112,523,607,468,416,074,950,477,442,723,999,638,283,685,493,483,
386,296,093,801,144,494,084,762,551,701,080,373,681,259,736,785,231,757,094,
797,717,645,919,745,830,332,845,314,003,188,744,992,400,435,278,342,459,145,
137,833,938,073,509,441,526,244,185,677,960,536,526,768,339,945,303,907,575,
246,965,166,562,318,343,746,549,842,141,957,178,054,939,886,740,756,721,680,
490,911,572,747,074,052,123,843,174,576,512,491,442,161,540,752,670,269,449,
024,939,915,573,405,151,971,379,742,135,695,130,098,053,125,376,055,292,582,
808,450,701,546,877,869,238,620,781,643,760,042,769,065,209,628,293,265,736,
491,178,778,312,799,514,823,553,923,692,765,156,716,555,367,826,456,655,002,
404,366,182,697,116,305,308,835,070,381,860,596,740,776,648,976,482,918,499,
677,520,843,179,566,144,157,679,187,483,507,440,544,238,300,861,302,125,035,
140,867,356,342,780,586,176,365,560,639,295,313,524,845,524,403,789,875,923,
733,213,036,059,518,294,455,823,022,322,664,036,762,191,307,591,209,022,415,
164,055,512,271,423,768,928,293,316,351,684,807,712,469,033,254,240,867,852,
798,599,312,548,136,043,858,666,895,372,701,327,321,825,369,137,602,789,206,
097,098,554,187,027,100,149,234,406,868,665,960,833,279,142,754,487,103,950,
938,962,605,390,963,994,619,474,734,129,044,144,374,994,997,643,346,521,832,
443,055,833,769,723,324,473,379,773,240,740,687,714,086,942,632,555,075,856,
361,949,136,370,494,363,858,273,487,536,340,862,578,271,672,309,082,845,032,
480,517,593,536,038,527,239,598,949,495,711,678,392,533,559,849,859,134,709,
700,846,812,136,038,371,009,345,706,627,324,372,035,226,931,965,453,604,787,
419,595,003,263,756,454,085,045,723,249,469,970,402,214,076,639,707,274,421,
416,292,892,319,806,275,633,428,640,241,036,793,096,614,431,248,059,153,490,
715,692,767,545,809,227,031,292,713,334,644,383,220,357,270,423,530,389,595,
895,455,177,040,381,265,046,706,430,021,733,673,897,996,414,362,570,653,142,
948,755,156,621,183,059,997,980,199,587,045,574,836,637,467,108,001,450,174,
475,471,530,475,156,913,526,681,655,001,809,581,168,171,206,293,712,740,271,
163,362,854,609,084,532,811,917,388,851,047,237,056,307,401,850,067,512,295,
570,344,505,778,230,464,902,691,102,851,427,066,438,908,493,829,436,003,640,
337,619,717,621,908,266,627,492,130,616,866,619,926,175,129,781,288,895,905,
733,404,466,412,191,649,037,483,901,329,780,885,482,780,478,435,198,085,049,
421,988,204,493,095,833,650,281,657,911,043,197,913,453,284,778,011,327,156,
880,378,532,088,992,316,139,880,879,565,433,109,844,076,692,013,348,888,392,
848,723,154,015,072,308,632,717,839,672,817,951,085,907,770,649,314,293,418,
657,726,985,188,832,474,620,075,941,549,721,008,213,019,133,284,996,809,373,
274,409,540,185,880,612,440,215,691,864,487,962,834,408,736,480,606,480,117,
610,691,952,602,158,623,893,064,961,707,217,976,806,994,319,248,110,689,878,
558,453,709,077,587,351,240,227,760,585,165,160,680,967,074,913,536,875,814,
331,333,720,368,204,115,433,445,225,740,942,177,056,093,079,637,703,672,423,
816,203,944,680,248,421,443,758,626,400,245,946,901,097,084,194,671,134,728,
295,357,704,896,147,379,776,711,301,678,889,834,771,054,727,673,206,489,341,
715,227,103,344,136,218,404,935,538,724,455,899,527,928,774,026,138,290,023,
702,077,571,964,383,674,205,721,357,438,476,178,627,155,634,661,373,375,412,
493,607,789,569,443,392,289,141,877,796,938,000,714,551,464,105,708,104,196,
909,253,376,566,742,032,413,701,956,166,715,672,395,468,845,581,176,006,894,
583,145,563,798,278,867,243,036,866,758,741,533,177,795,133,429,293,058,552,
211,406,575,278,433,083,582,214,755,820,802,920,558,124,088,585,640,359,919,
202,071,323,086,571,387,651,359,413,119,193,597,371,781,578,075,675,167,360,
043,995,417,157,930,219,132,703,590,882,988,300,309,875,754,408,752,246,153,
819,943,234,421,087,818,863,454,980,082,238,850,131,956,510,932,637,979,790,
754,876,402,664,633,388,367,282,680,276,546,345,701,025,710,896,648,411,283,
173,057,708,040,750,759,985,102,353,366,759,850,633,839,222,022,184,600,774,
168,906,819,031,339,647,869,617,106,004,737,916,284,182,695,537,539,633,311,
903,455,988,473,041,887,439,233,270,238,248,692,223,175,111,191,280,623,474,
266,923,472,030,508,060,885,899,092,611,839,809,016,693,622,874,189,530,277,
667,352,807,731,883,626,813,136,448,332,303,689,795,393,080,725,903,499,340,
047,665,038,311,992,709,955,769,620,245,289,056,307,289,629,117,851,020,324,
044,555,515,911,789,499,039,380,569,599,638,782,716,296,321,183,830,241,616,
386,946,306,774,350,249,843,030,938,669,557,965,363,775,086,219,254,478,871,
788,410,191,354,194,915,943,729,804,525,528,539,685,351,645,758,379,826,940,
269,654,641,459,328,089,649,166,368,013,763,297,634,248,786,182,053,591,001,
484,093,593,838,432,017,137,408,181,313,682,433,218,493,292,903,668,841,854,
331,286,809,781,785,578,868,017,010,382,791,054,588,796,242,259,325,487,153,
143,697,606,913,718,251,849,351,163,758,726,194,499,685,705,597,452,877,535,
899,898,013,626,649,671,716,403,487,300,537,610,604,216,690,329,536,190,393,
880,801,254,741,897,383,659,976,036,466,919,298,266,381,143,090,334,459,716,
689,985,006,954,348,461,777,487,433,729,027,339,405,270,837,088,996,630,073,
513,234,244,631,794,845,281,966,193,626,676,585,581,294,165,459,518,003,628,
393,204,287,092,521,322,745,287,009,300,260,745,079,186,665,080,967,374,773,
503,702,358,257,830,642,269,558,965,991,435,746,982,643,255,403,578,766,416,
423,608,669,116,262,988,386,416,951,298,410,069,740,694,888,680,021,213,810,
849,321,772,026,760,067,376,084,274,091,136,360,233,245,784,948,187,084,811,
995,968,370,046,707,860,164,738,677,498,727,940,911,107,865,249,048,759,685,
696,509,846,797,547,966,157,292,812,721,079,575,468,402,393,529,882,264,649,
955,691,020,215,219,654,136,102,249,993,465,165,332,194,531,062,824,580,893,
194,471,029,992,403,094,710,149,202,066,926,295,530,679,149,669,679,903,397,
286,623,794,412,706,375,528,391,829,586,651,773,697,178,188,641,369,403,416,
573,600,037,762,613,281,678,100,179,836,339,631,311,756,344,052,101,733,508,
814,023,022,732,803,634,293,940,031,719,960,629,862,438,363,033,567,518,114,
270,960,516,130,606,979,403,156,086,772,662,987,850,183,859,720,364,121,614,
318,248,874,806,403,964,934,920,740,110,105,508,806,979,450,176,092,079,649,
022,441,276,282,353,015,637,909,794,962,886,004,305,583,999,428,248,052,719,
560,186,664,928,103,605,174,703,503,601,311,910,536,980,244,168,003,147,705,
276,155,362,782,952,989,676,701,347,807,312,155,272,268,393,196,084,783,282,
201,882,044,594,785,075,896,291,573,010,050,225,722,814,586,096,893,361,659,
480,895,746,230,592,269,767,976,481,818,790,317,494,167,906,044,122,224,629,
181,958,685,427,236,643,971,984,522,908,261,578,541,829,659,707,577,059,724,
664,474,636,300,344,890,582,760,749,343,434,807,302,801,078,620,765,165,078,
164,473,243,413,734,183,574,430,562,252,110,996,223,207,025,861,610,013,523,
297,873,208,199,881,302,193,037,038,962,777,354,728,867,902,984,529,406,876,
471,600,417,997,884,095,637,266,437,226,238,601,899,399,923,932,715,972,153,
317,292,166,959,647,050,376,108,830,512,319,172,678,402,116,359,537,721,082,
094,749,199,338,082,573,212,973,534,720,451,772,365,405,772,752,121,007,625,
645,913,489,102,539,555,069,557,159,597,788,564,365,811,035,765,469,698,086,
624,365,994,004,713,309,543,225,644,757,676,972,094,045,905,447,870,922,315,
953,463,823,962,656,513,172,854,119,508,836,010,054,586,811,363,500,608,497,
190,004,195,616,088,006,945,091,856,621,627,228,959,594,036,164,891,747,055,
439,701,849,314,902,002,026,885,877,126,871,092,860,992,975,513,248,300,567,
831,768,624,266,657,834,632,212,376,585,692,399,883,412,646,403,468,423,520,
048,363,455,673,113,251,198,379,537,038,664,378,732,080,416,074,093,845,257,
266,791,273,193,602,374,761,283,741,524,804,690,576,652,873,841,902,679,376,
393,242,252,531,235,870,814,291,780,499,372,029,632,869,081,752,342,528,094,
114,362,591,333,552,692,018,223,341,464,235,253,320,198,669,121,430,692,048,
653,030,211,572,698,677,810,616,261,636,609,011,509,096,579,873,200,992,123,
023,776,087,056,295,724,307,906,164,138,713,042,983,731,170,749,619,035,832,
309,890,016,354,906,122,086,157,788,380,442,420,401,567,467,557,982,034,610,
242,237,614,129,648,935,506,801,070,178,242,231,670,687,755,629,195,938,580,
253,221,611,684,374,557,028,278,323,898,948,089,537,177,977,477,638,157,430,
475,300,206,201,856,600,835,805,740,727,049,834,120,684,491,636,006,777,277,
108,833,341,232,417,352,024,403,009,065,342,419,664,309,028,419,848,890,192,
324,893,176,522,683,237,745,138,025,462,756,130,744,353,352,489,111,316,161,
028,720,732,320,676,106,632,448,441,692,459,262,086,307,013,974,430,715,214,
356,654,548,334,325,234,424,037,662,975,338,655,129,909,389,053,445,591,383,
877,974,545,430,586,219,012,516,169,461,772,357,869,325,120,464,965,450,315,
963,890,984,188,855,023,958,052,893,596,635,199,551,475,282,136,282,904,583,
385,064,473,957,412,429,361,974,638,225,317,234,528,025,161,906,523,536,102,
478,327,593,787,517,533,261,626,008,027,864,387,922,510,488,651,011,141,313,
369,669,868,184,427,644,996,755,994,289,505,461,421,732,862,622,877,977,775,
205,174,835,978,834,387,549,911,685,187,849,609,795,962,215,688,631,772,655,
996,459,692,075,796,119,964,521,523,632,700,571,441,671,022,960,596,217,477,
424,608,827,367,288,596,139,824,489,660,156,181,134,723,884,969,456,539,363,
670,743,090,866,486,106,859,175,879,826,329,137,468,798,786,612,061,691,627,
449,477,557,191,022,665,854,636,747,728,714,802,529,857,302,858,843,745,456,
151,957,714,604,512,210,850,210,039,865,449,694,858,769,817,847,203,910,722,
414,856,915,691,688,478,873,588,744,638,901,724,514,010,882,164,061,847,094,
385,528,970,206,010,050,400,751,944,950,413,560,700,597,620,741,004,574,141,
096,408,357,636,351,831,307,960,029,094,078,540,133,373,470,752,738,729,736,
192,950,190,501,710,045,118,773,428,783,531,235,969,853,062,441,852,452,079,
203,280,977,794,183,879,268,383,378,859,597,055,054,926,129,149,266,740,716,
169,126,581,857,255,773,534,708,808,704,981,693,039,939,409,064,023,063,940,
428,172,699,310,713,199,361,981,843,041,560,421,956,385,703,120,559,593,815,
890,128,537,681,269,603,853,984,345,893,588,230,323,453,528,873,886,531,895,
074,577,479,173,866,705,733,915,909,306,633,512,075,963,213,227,017,814,066,
737,664,274,252,200,998,212,656,446,296,287,970,958,614,718,159,398,444,778,
051,526,700,132,423,358,475,722,897,832,292,397,726,868,754,693,116,554,162,
359,378,615,402,982,310,529,565,754,233,200,285,753,865,828,120,354,716,536,
769,058,398,673,954,368,320,433,383,281,683,431,317,757,992,501,012,850,745,
079,394,408,337,551,920,420,535,379,464,109,654,697,305,770,765,148,562,241,
544,146,746,926,772,840,429,109,395,849,711,155,573,697,028,882,608,779,371,
404,791,220,306,367,975,805,168,622,770,502,103,762,527,233,064,936,118,360,
874,589,963,486,447,072,052,968,373,916,354,699,277,353,595,732,082,234,123,
136,579,000,581,515,289,023,820,830,907,567,281,248,066,615,355,084,609,263,
230,624,255,821,922,190,076,971,482,379,704,015,630,307,603,357,654,255,911,
286,109,190,480,333,465,395,782,235,546,092,176,956,965,588,402,381,954,082,
034,069,717,061,640,609,875,756,751,008,334,314,503,981,654,316,043,321,131,
854,899,747,257,515,756,946,554,528,068,397,449,110,627,634,376,724,485,053,
815,037,555,686,546,026,916,082,652,722,092,508,760,097,448,979,365,469,590,
149,279,269,138,595,240,641,141,853,550,021,645,746,315,129,272,318,391,663,
238,667,392,183,317,490,909,967,742,125,951,194,412,139,481,548,250,917,318,
406,370,801,332,501,813,091,457,133,184,253,362,556,714,786,551,876,081,212,
488,622,177,785,659,348,148,673,363,936,417,898,698,851,376,848,331,696,472,
521,951,416,509,991,270,307,561,640,944,877,163,131,384,669,886,382,566,548,
985,345,980,901,614,404,114,878,838,072,454,234,113,903,283,347,724,533,157,
817,551,684,422,238,924,395,016,359,000,396,651,158,736,106,070,615,056,253,
146,566,971,670,961,986,094,599,841,236,234,804,500,478,401,258,985,482,389,
625,268,882,040,468,679,257,467,171,822,786,979,463,661,892,977,086,010,580,
614,415,777,294,932,517,667,799,461,320,639,282,250,872,801,084,002,307,580,
063,144,647,156,469,561,842,999,958,302,577,479,343,104,871,708,999,565,157,
095,806,736,624,235,009,780,097,379,382,768,283,060,130,767,422,066,872,440,
572,119,628,167,181,619,782,775,100,050,229,310,063,285,140,617,407,629,299,
368,437,126,196,675,234,340,712,011,976,038,951,637,036,274,638,103,407,756,
860,458,052,185,320,911,115,134,048,274,745,683,942,358,149,438,496,509,608,
532,111,764,526,197,733,227,143,163,334,451,931,689,730,161,188,515,067,709,
309,993,875,975,008,022,208,054,846,637,005,303,975,326,391,395,134,298,330,
519,469,662,816,126,107,240,329,278,676,926,101,137,115,997,357,469,227,723,
696,810,497,980,315,751,233,554,817,001,814,128,216,735,549,667,623,169,027,
348,935,847,393,299,118,487,794,984,118,182,494,421,345,117,070,570,980,247,
119,339,927,265,631,995,534,712,389,628,523,385,321,285,631,250,494,226,744,
175,078,903,064,776,491,242,466,629,083,759,690,068,149,455,885,289,393,724,
003,590,727,158,011,185,308,169,341,149,297,363,880,477,152,126,784,717,655,
531,694,810,286,558,207,155,191,580,506,640,291,031,946,045,054,010,155,829,
315,476,728,661,171,398,038,194,200,869,836,579,061,506,522,127,862,029,863,
282,826,657,921,679,839,981,186,382,123,578,306,953,829,826,070,041,934,414,
922,040,863,449,970,664,485,422,994,504,728,848,830,053,139,554,638,597,995,
814,343,540,143,326,470,113,456,569,110,072,764,654,242,916,688,653,328,692,
535,778,836,354,312,359,295,216,222,511,777,276,427,020,517,025,038,006,132,
911,864,671,250,957,323,791,107,801,565,524,979,957,079,777,449,026,055,394,
959,151,257,229,487,663,435,555,252,219,754,902,969,780,673,726,024,496,295,
599,983,182,529,983,612,891,724,493,182,542,162,081,937,610,539,538,875,743,
593,898,602,250,581,064,516,076,638,857,888,065,499,747,937,976,032,517,580,
005,397,749,259,223,875,458,045,533,180,747,928,316,173,655,458,631,262,106,
516,566,936,780,737,245,331,589,646,958,470,558,950,508,893,854,028,587,005,
837,399,066,403,798,315,945,378,226,054,653,596,077,618,873,625,862,540,845,
008,778,743,523,684,292,111,073,175,952,125,717,888,203,385,130,566,134,412,
841,664,195,096,877,030,784,908,152,895,801,042,463,275,553,403,196,119,441,
653,381,303,816,818,866,910,885,878,584,763,534,228,444,535,358,459,516,853,
975,528,922,473,372,353,073,296,532,196,003,918,835,125,217,292,040,856,042,
268,848,797,765,432,041,200,598,032,798,361,880,052,288,966,139,035,783,185,
787,844,184,748,553,650,448,416,270,784,912,543,568,314,497,620,147,622,986,
396,050,635,481,103,780,717,271,257,316,799,986,144,503,629,964,960,216,019,
118,618,200,595,985,227,227,144,092,683,852,491,846,983,092,057,529,558,130,
000,252,414,734,895,693,613,195,124,247,746,931,223,191,476,703,302,943,988,
011,369,882,623,203,081,739,228,315,502,997,484,538,265,390,762,564,719,848,
724,272,315,010,010,888,500,336,948,057,753,332,454,824,761,551,751,320,624,
266,058,472,004,734,461,162,839,532,586,873,357,320,697,587,970,161,549,021,
905,810,370,661,762,993,575,051,299,175,482,782,933,345,220,209,303,620,593,
784,715,113,195,258,411,363,709,879,737,661,207,917,488,219,072,117,820,411,
712,497,757,039,968,857,011,958,050,096,984,532,062,737,276,152,808,898,939,
368,611,278,121,500,270,357,264,334,278,711,257,153,314,471,477,245,220,074,
947,505,412,432,631,307,304,349,972,236,974,964,365,737,069,456,089,277,212,
159,792,353,660,915,283,704,785,463,951,017,300,447,722,731,587,871,264,358,
216,126,246,836,037,660,351,786,263,484,610,487,686,300,983,765,963,476,243,
270,067,279,711,911,737,153,671,981,929,131,607,235,728,513,122,200,740,324,
364,709,020,784,165,144,112,245,508,891,280,242,796,196,379,114,276,450,511,
998,193,136,732,901,968,926,180,659,163,000,812,896,211,105,401,598,847,885,
972,723,507,287,208,542,235,745,472,503,190,617,139,056,912,952,069,488,703,
632,296,548,961,550,127,769,749,517,346,259,052,338,322,467,061,290,283,052,
381,612,314,784,249,642,821,627,649,041,373,747,806,468,805,039,182,402,777,
654,606,891,581,823,354,881,861,445,152,983,182,935,683,310,488,381,397,250,
353,852,865,475,164,029,375,197,476,194,616,451,126,195,403,176,783,484,601,
790,878,276,719,439,765,006,695,376,340,441,324,155,530,614,304,584,627,866,
393,536,400,769,766,152,669,400,016,127,044,087,288,530,816,127,266,525,457,
537,824,202,543,998,662,410,473,661,274,386,429,958,200,237,134,543,442,493,
620,265,623,999,779,149,573,756,351,812,346,748,747,899,995,764,949,073,376,
691,395,577,477,728,719,904,046,081,828,809,269,244,654,708,487,838,235,025,
616,772,750,316,219,126,918,085,800,424,462,993,375,695,105,739,588,026,654,
273,914,028,182,660,068,634,067,958,999,528,556,977,403,086,543,541,208,305,
607,366,784,898,529,813,109,143,523,188,022,453,575,683,791,650,074,242,904,
448,877,676,714,498,866,569,984,135,685,454,167,120,001,396,982,710,398,005,
186,983,034,543,905,580,938,977,181,855,108,554,845,099,653,376,559,244,005,
487,393,692,409,312,198,214,241,993,588,662,851,875,992,529,681,812,345,155,
130,129,734,341,710,069,321,757,724,543,413,439,404,259,194,662,924,600,741,
735,715,820,108,703,003,447,189,663,154,194,251,115,298,462,857,503,111,765,
995,113,011,123,781,532,772,132,700,611,482,141,810,223,423,900,772,123,167,
958,677,353,631,078,500,239,785,437,256,701,737,980,540,416,032,669,209,971,
535,918,346,398,995,046,155,869,599,502,500,300,610,669,030,456,810,711,010,
051,234,668,032,959,237,383,603,511,642,905,619,319,016,600,097,767,600,076,
565,895,359,573,930,520,612,056,863,358,145,006,124,476,817,270,187,828,032,
279,949,897,761,760,383,274,439,466,378,125,938,433,074,891,477,492,109,240,
528,989,758,674,030,504,284,733,049,946,052,781,521,081,094,107,247,130,602,
620,032,991,803,717,251,352,517,818,233,572,707,401,095,579,298,445,141,272,
069,271,204,532,763,779,147,188,218,759,222,515,112,835,252,596,453,961,832,
413,360,449,494,912,102,156,715,176,116,496,357,518,715,588,638,741,970,883,
053,254,472,415,697,820,747,394,538,046,817,098,814,563,967,940,628,854,303,
255,520,020,262,490,001,250,260,053,878,588,369,329,900,760,307,616,696,893,
242,390,340,260,661,387,132,879,524,774,803,794,018,979,813,553,936,617,090,
558,871,662,618,643,753,501,986,430,206,329,018,017,942,540,655,148,978,781,
068,639,714,108,912,106,455,829,622,427,248,858,588,001,887,022,206,660,955,
159,824,814,767,061,408,472,489,739,061,779,579,351,906,885,639,937,239,644,
833,855,349,790,960,419,279,333,155,914,435,612,486,325,432,287,645,501,433,
650,456,361,364,893,436,968,870,157,603,207,933,902,334,546,447,231,352,856,
469,819,959,553,417,595,047,731,868,013,474,046,818,285,053,020,736,989,806,
035,821,092,153,527,901,877,531,638,189,255,888,501,788,355,676,007,632,738,
943,493,329,784,261,189,955,595,427,054,225,152,434,960,200,630,243,604,483,
527,737,342,972,099,009,735,825,657,365,852,875,711,453,219,642,284,770,472,
231,232,626,466,595,730,956,200,876,433,738,714,593,493,130,746,479,906,471,
123,486,617,895,067,666,308,115,909,559,379,215,861,773,831,244,181,346,501,
585,634,885,085,218,250,405,117,495,217,960,749,313,999,520,656,964,992,681,
530,265,959,048,752,085,884,125,861,791,410,221,447,479,620,268,748,253,123,
988,773,764,803,128,803,505,712,937,317,570,930,528,005,315,671,378,639,920,
608,831,733,075,421,579,063,067,374,761,638,046,002,456,085,778,510,629,671,
039,604,817,657,173,194,381,285,293,144,669,172,758,837,176,446,358,583,489,
509,902,918,285,742,058,995,633,740,404,838,157,159,675,476,882,605,107,959,
407,932,443,271,431,978,632,667,905,040,940,628,591,924,381,957,137,189,333,
196,749,132,591,358,385,835,335,484,848,594,065,178,419,420,281,586,165,054,
505,627,409,088,733,388,040,141,455,304,595,776,182,977,404,141,506,743,369,
329,631,790,454,603,031,872,266,202,682,740,852,635,700,731,043,535,426,123,
255,324,812,706,724,233,031,546,117,006,440,107,097,487,253,478,217,050,770,
208,113,053,945,818,266,119,016,810,785,025,420,103,815,394,738,542,700,400,
134,869,235,555,226,979,102,198,311,317,934,889,516,336,637,494,621,184,702,
864,195,122,684,532,396,792,290,466,429,203,808,662,116,565,800,203,344,489,
010,230,578,136,361,456,310,844,010,530,166,217,439,303,724,542,922,052,380,
936,059,098,326,385,928,414,754,418,475,506,626,694,580,777,377,664,289,326,
892,310,910,835,072,752,386,968,015,973,459,973,180,045,702,723,264,585,178,
968,734,367,388,381,688,123,047,077,737,911,064,215,482,285,549,987,539,188,
312,861,864,963,692,842,252,965,738,650,792,645,566,125,712,099,214,239,701,
993,988,725,433,886,138,408,169,716,960,780,672,399,825,599,789,135,699,502,
973,350,259,725,725,753,583,575,560,715,353,512,604,916,853,749,045,349,438,
300,309,628,484,139,122,651,768,301,821,434,629,342,611,481,475,510,722,079,
378,061,881,793,662,890,349,267,599,275,678,817,092,938,917,122,983,475,479,
142,605,724,533,708,049,320,021,674,463,637,229,277,752,807,985,869,628,656,
060,050,471,217,758,127,646,133,469,404,620,860,877,245,749,931,760,081,192,
733,916,179,421,948,628,309,375,718,374,262,573,762,161,498,701,688,107,041,
645,308,571,912,031,102,066,827,289,482,117,759,421,438,996,299,706,090,040,
063,402,533,843,083,761,586,358,908,288,132,056,683,968,365,391,569,388,877,
300,956,333,238,585,852,837,101,804,045,033,877,833,350,496,488,734,317,801,
792,466,906,585,913,163,556,085,708,790,431,114,587,967,991,997,669,911,966,
033,443,458,628,837,985,192,156,571,098,209,669,177,046,499,066,460,198,529,
954,955,668,191,395,325,165,491,874,602,355,678,673,643,235,014,755,177,892,
170,482,764,106,567,011,376,032,231,985,294,104,765,366,036,074,203,208,161,
940,794,197,107,526,332,498,040,457,875,281,581,389,549,508,278,227,918,251,
357,993,192,417,490,490,419,885,507,438,945,106,708,250,718,238,844,630,979,
733,234,979,663,202,089,919,464,862,475,360,097,558,312,001,084,694,622,207,
510,041,808,817,607,374,393,569,751,847,906,432,580,941,198,080,686,970,374,
699,322,741,484,077,590,130,307,971,393,322,817,116,508,042,940,835,341,801,
179,356,241,385,795,176,965,268,645,598,702,993,803,737,485,998,804,291,410,
016,602,172,729,880,188,492,534,165,870,159,392,632,743,162,082,284,864,754,
841,884,743,693,326,581,815,047,656,197,505,865,751,214,366,492,908,315,828,
741,356,031,129,727,335,444,437,022,714,717,206,517,919,666,474,663,690,926,
306,842,913,393,217,509,743,006,115,329,866,999,775,277,156,189,096,575,069,
930,882,635,312,067,359,199,456,930,622,091,510,462,917,809,235,409,866,863,
452,937,490,479,755,097,099,721,500,863,212,210,608,986,459,038,046,575,279,
674,988,114,712,023,741,361,037,466,053,382,496,124,344,104,640,532,158,821,
925,596,843,347,898,167,411,460,591,475,881,598,350,814,263,523,404,805,733,
985,159,902,340,734,950,941,155,805,417,302,874,674,262,661,598,350,202,392,
097,705,739,923,441,215,921,666,613,425,209,153,704,912,782,416,754,341,221,
007,152,711,020,279,519,317,122,783,822,395,381,989,572,296,633,306,602,716,
325,917,216,122,667,306,080,655,370,702,546,797,728,088,844,276,951,665,417,
674,037,615,305,184,350,126,649,002,827,130,255,352,667,443,890,544,372,557,
041,946,668,145,550,613,382,419,477,194,955,866,980,570,681,546,146,887,755,
597,799,543,111,653,463,220,885,833,956,071,909,977,602,814,060,306,982,012,
398,362,597,428,530,737,321,571,115,623,177,375,363,322,178,848,531,872,297,
118,002,949,920,289,577,348,950,571,773,013,343,983,161,675,242,591,602,518,
906,815,005,663,275,623,923,933,538,336,340,182,386,624,732,283,229,165,320,
294,068,801,632,579,318,536,713,610,620,773,468,757,085,731,331,037,650,817,
793,321,724,004,288,766,646,370,250,247,360,598,139,749,337,511,638,198,961,
940,442,173,061,554,956,393,791,684,646,275,582,707,617,973,534,826,928,125,
399,040,226,430,556,580,075,255,569,960,157,608,100,502,464,246,670,566,225,
981,830,595,810,638,876,949,304,138,220,996,129,681,768,387,695,617,477,863,
663,564,558,499,475,196,180,386,769,877,049,173,868,432,547,742,676,572,049,
640,166,127,631,935,051,374,484,874,936,692,837,422,725,523,035,856,111,019,
468,241,823,050,644,867,740,312,784,751,134,838,741,372,822,470,873,721,008,
370,212,384,983,466,950,811,694,302,506,305,617,297,951,336,724,323,062,466,
794,498,951,003,539,852,579,415,844,048,100,262,857,144,628,091,626,398,011,
654,601,382,477,206,802,606,147,714,706,389,263,961,756,862,706,789,549,942,
459,563,788,604,497,441,404,459,829,269,350,994,786,154,142,935,269,087,098,
537,993,665,376,660,937,384,271,269,309,196,622,508,163,396,559,856,399,271,
870,405,588,191,849,453,255,917,420,601,137,736,691,648,031,556,331,201,977,
206,380,478,668,178,602,956,471,661,512,800,499,465,124,796,690,495,572,556,
357,819,383,737,873,680,243,076,972,076,911,039,138,595,712,550,100,054,938,
009,145,530,339,844,827,099,845,796,435,010,401,579,459,138,957,454,432,699,
530,603,809,354,609,885,548,504,101,197,423,724,526,683,804,721,069,188,576,
308,914,170,178,630,296,924,346,346,323,263,290,878,768,243,224,555,821,875,
131,529,998,337,664,556,143,568,076,090,315,214,092,675,363,567,572,318,693,
493,569,186,368,325,215,189,015,228,712,341,618,151,509,391,574,969,091,656,
831,880,904,190,872,272,827,974,905,327,849,526,768,847,580,978,036,637,121,
574,328,583,536,518,895,313,770,269,511,977,233,678,374,656,627,391,030,034,
027,976,883,076,933,106,629,648,648,770,871,408,294,171,720,716,952,919,201,
499,061,462,385,944,030,838,612,505,352,246,506,569,408,018,101,161,422,996,
764,927,670,077,885,177,713,384,898,154,462,393,295,270,085,786,663,336,248,
247,568,036,080,047,263,329,576,504,135,816,327,418,530,450,581,364,080,499,
625,443,366,511,731,916,719,951,853,114,164,617,475,665,818,009,709,526,546,
721,296,077,155,327,271,774,241,215,629,868,021,792,457,796,788,144,217,030,
576,533,910,125,848,029,382,581,592,780,169,743,307,442,899,455,795,243,718,
107,300,260,294,616,867,539,534,002,334,002,852,986,205,125,301,418,137,189,
087,521,257,404,124,967,547,065,554,471,335,224,146,894,367,871,303,052,088,
871,440,113,579,456,711,630,462,832,686,646,440,338,907,560,694,998,508,040,
417,007,927,151,880,029,894,307,008,844,835,810,415,446,219,376,431,061,127,
700,143,477,181,416,895,329,159,340,712,231,799,291,880,438,516,322,425,492,
579,932,644,251,098,191,738,689,420,691,462,881,497,957,082,914,374,554,346,
846,628,883,898,998,691,910,031,186,624,641,193,205,827,069,466,249,774,091,
628,759,382,982,704,419,401,109,266,773,027,984,440,309,801,080,220,292,442,
681,828,721,076,379,488,621,663,474,692,825,833,755,298,116,909,571,549,030,
710,982,567,010,742,608,756,562,492,184,650,620,082,121,651,008,286,874,557,
044,790,697,319,890,672,196,102,858,139,357,418,115,074,158,966,802,099,929,
874,474,615,604,745,769,760,064,616,739,274,795,198,909,294,426,851,621,515,
937,002,780,072,259,451,405,555,551,165,817,549,514,925,554,033,041,387,250,
049,506,872,328,042,607,653,720,989,843,840,111,717,411,599,863,135,381,871,
536,221,158,741,639,834,079,308,341,995,616,359,151,990,568,822,204,101,651,
784,630,039,232,043,847,463,175,159,047,179,725,068,282,310,148,416,012,651,
477,716,801,139,063,197,013,286,905,186,335,432,411,909,279,359,479,327,826,
597,994,282,547,083,511,632,758,834,414,604,357,422,234,754,580,173,686,829,
087,529,174,170,970,359,708,234,752,072,747,560,658,070,241,259,412,439,091,
590,385,221,671,334,952,739,493,937,757,710,588,594,399,483,387,818,936,491,
559,281,877,498,632,718,686,710,716,747,044,209,258,673,686,498,788,693,322,
402,652,009,646,850,586,896,114,052,074,773,968,133,174,013,324,354,244,336,
161,895,668,099,194,129,585,954,567,901,484,884,390,244,161,604,495,171,760,
631,524,349,059,684,458,269,665,949,921,274,267,521,558,082,946,301,422,705,
055,680,012,538,331,358,085,421,314,139,578,753,293,085,430,657,420,402,290,
416,019,993,167,114,762,066,239,159,132,700,167,343,288,852,518,919,422,734,
038,361,354,643,090,709,888,988,685,076,759,336,871,294,755,338,524,227,126,
605,523,989,730,214,009,285,826,968,890,385,940,749,157,952,690,258,058,208,
604,466,214,069,142,972,365,299,969,976,508,953,878,363,745,091,882,349,997,
913,168,150,981,677,444,317,567,319,586,985,827,219,712,511,920,662,862,001,
699,945,673,358,895,227,871,901,826,763,165,335,062,643,225,815,781,146,688,
812,629,197,972,266,612,231,125,738,911,527,942,802,169,151,360,575,081,030,
505,446,436,401,877,654,334,521,315,774,244,619,873,371,440,199,979,815,714,
133,556,847,352,142,057,332,998,322,431,936,095,035,521,381,551,200,612,059,
411,925,180,651,422,394,949,165,771,904,250,327,738,502,493,682,541,581,592,
602,459,631,547,748,455,945,446,008,156,549,538,780,802,635,359,033,359,217,
403,039,294,108,547,687,824,091,606,407,572,877,561,276,809,113,354,196,891,
775,845,076,306,197,725,089,604,404,941,728,734,161,892,428,686,063,462,778,
444,047,222,259,165,042,535,435,073,935,763,907,334,034,580,790,913,683,456,
959,379,858,947,921,014,006,840,489,884,497,397,570,558,138,371,928,233,974,
357,916,491,127,220,015,451,403,421,722,565,713,550,140,509,072,686,248,648,
689,287,771,277,391,288,029,003,696,040,189,100,177,474,595,154,023,191,432,
316,718,247,706,392,385,707,875,766,180,803,009,864,016,848,076,480,904,062,
888,572,204,929,839,038,089,547,890,113,885,034,063,832,843,716,470,973,333,
158,483,131,335,193,148,264,798,679,205,220,140,112,913,505,168,079,511,228,
383,707,044,902,089,218,989,413,438,158,815,121,560,764,086,940,772,401,036,
264,200,893,411,915,591,694,118,350,661,841,569,869,133,249,692,593,117,861,
666,930,400,183,478,906,092,448,144,283,504,576,680,920,126,999,013,497,527,
977,084,334,576,022,223,421,826,870,667,664,484,531,209,974,292,522,236,437,
386,755,834,572,098,393,830,352,628,048,687,043,176,656,171,016,540,955,622,
932,113,130,276,880,180,152,025,238,975,110,366,468,145,185,119,211,659,967,
727,356,967,599,578,194,059,538,381,347,849,586,004,479,948,012,217,178,778,
930,871,897,875,657,189,004,236,230,164,080,229,978,329,995,938,869,189,269,
611,009,890,336,361,216,806,490,075,354,749,143,149,898,828,173,036,109,521,
561,363,306,299,787,211,613,161,304,199,847,137,173,693,304,408,338,950,394,
563,718,945,308,043,597,383,991,936,760,238,028,371,113,517,918,333,549,598,
236,688,283,938,080,766,295,528,279,592,089,922,979,724,418,917,109,523,300,
085,390,520,064,440,866,315,681,276,234,901,943,388,328,542,370,025,810,978,
819,682,564,628,946,589,221,723,504,567,451,781,931,960,198,610,346,997,712,
014,007,013,939,632,095,993,495,659,535,097,916,345,889,244,399,245,784,456,
796,923,782,338,216,551,903,558,522,504,971,867,747,893,464,107,981,034,991,
759,740,488,356,711,092,767,346,638,570,935,160,112,207,210,054,013,843,699,
224,185,247,604,988,979,530,016,941,932,420,593,591,903,331,573,271,389,732,
372,943,136,386,628,098,014,160,112,854,185,804,076,221,787,429,678,977,818,
883,970,842,316,319,315,799,077,912,924,791,770,677,658,365,438,357,177,203,
345,753,587,802,591,058,597,727,671,094,781,634,385,894,941,847,081,794,669,
219,723,283,284,498,663,489,142,212,563,151,204,992,328,226,630,120,493,684,
837,609,057,217,586,195,086,037,500,701,765,144,826,259,267,435,949,510,511,
669,311,439,716,215,612,248,672,887,253,799,894,505,599,358,590,532,386,186,
694,498,324,049,935,295,396,946,764,171,341,489,821,486,453,849,303,972,473,
481,081,250,908,292,000,710,986,085,536,294,775,289,241,399,043,644,207,402,
565,647,309,609,548,641,133,782,901,820,241,311,776,840,710,912,769,496,461,
940,824,522,759,580,574,644,645,784,378,629,264,961,034,973,074,814,724,677,
470,642,058,608,195,187,146,242,475,640,268,440,037,818,363,648,008,772,091,
823,797,155,390,928,266,595,273,544,710,133,828,860,500,982,299,824,175,006,
013,731,975,388,254,946,043,872,793,450,680,249,671,672,970,237,682,670,071,
264,670,564,242,898,265,185,575,036,033,338,230,039,170,294,299,451,737,078,
017,866,507,154,242,552,661,355,048,912,668,755,952,301,563,827,605,518,258,
078,227,216,509,727,716,954,281,951,737,245,759,345,610,596,430,685,698,572,
166,544,221,410,870,055,869,129,340,182,691,578,909,123,880,206,455,641,139,
045,695,589,321,279,699,624,833,921,914,792,182,984,975,684,253,240,015,797,
407,554,809,585,264,625,722,609,216,547,011,680,643,935,892,751,637,672,110,
680,333,359,573,764,245,616,748,348,840,124,669,581,486,488,935,420,549,949,
485,548,658,046,538,519,072,497,545,716,036,455,420,540,254,479,154,242,980,
658,202,702,211,490,751,736,641,482,303,762,704,579,023,912,512,847,946,002,
042,702,359,241,077,783,694,305,094,357,636,774,460,258,982,545,217,790,814,
077,052,741,003,370,359,806,101,103,650,540,922,582,667,714,342,876,289,183,
114,827,740,515,126,796,940,831,826,478,396,428,896,849,268,127,151,942,204,
895,948,300,792,316,253,386,534,402,568,353,028,865,283,709,031,909,904,210,
795,273,031,640,123,273,464,796,010,303,914,238,879,203,633,082,352,312,869,
286,252,146,764,771,249,693,423,374,435,897,541,505,411,914,976,609,341,090,
860,721,141,947,660,245,069,753,144,153,272,291,760,910,025,819,626,415,466,
765,829,789,109,139,453,243,692,549,539,979,460,910,329,332,162,416,559,004,
276,788,538,788,986,265,617,725,593,846,347,445,067,636,760,655,641,548,598,
600,436,897,696,656,978,693,273,150,952,849,163,023,138,980,013,796,185,532,
595,020,299,371,882,255,410,610,426,203,751,093,965,410,078,446,897,331,285,
887,932,687,779,097,780,870,250,355,509,028,471,584,916,518,528,795,000,099,
009,479,376,767,981,687,775,476,812,868,757,827,405,723,493,485,198,901,353,
309,383,409,578,334,266,271,655,810,969,486,390,591,317,948,681,650,911,333,
676,905,947,252,946,722,961,424,286,723,672,818,838,030,594,111,585,203,383,
631,936,891,470,247,319,988,733,101,624,892,575,150,803,444,750,264,904,215,
820,766,510,329,190,401,887,302,896,225,101,730,039,034,208,913,563,734,201,
960,603,612,908,723,157,849,962,983,067,422,861,795,950,313,597,436,927,385,
473,993,142,743,627,688,558,303,981,966,789,228,043,546,038,054,311,811,134,
327,749,081,757,962,083,483,658,374,939,854,588,911,352,626,163,075,866,118,
855,259,187,879,050,358,638,248,246,595,190,019,800,223,581,813,193,184,986,
769,230,580,330,107,834,223,597,928,495,485,389,710,295,859,346,716,842,494,
870,105,320,394,906,378,319,826,515,367,593,121,159,658,589,974,746,927,980,
639,236,032,314,589,410,954,468,951,433,247,033,568,131,944,184,952,454,714,
060,358,186,055,530,546,215,821,012,351,024,671,799,809,574,784,112,959,903,
417,144,905,549,404,715,858,487,969,377,441,179,393,677,401,372,073,787,266,
349,766,691,944,512,311,829,581,704,398,374,717,304,693,809,230,837,451,604,
623,207,167,926,515,143,578,696,466,063,244,043,644,884,316,060,819,492,225,
541,498,447,070,544,102,021,637,051,999,418,304,462,724,461,430,320,877,566,
706,572,259,165,554,898,068,048,770,871,096,777,979,689,808,827,741,275,015,
184,016,469,610,426,414,993,441,160,774,811,935,101,243,771,741,221,005,324,
126,184,563,102,563,605,170,956,036,304,750,562,372,094,339,226,247,829,717,
210,295,469,136,260,325,620,610,993,571,605,495,306,077,883,094,563,968,781,
547,953,258,777,701,260,520,314,424,576,534,933,042,774,792,881,146,848,528,
419,994,655,782,731,271,546,937,679,401,426,553,541,434,701,790,601,791,038,
184,437,637,642,422,662,504,820,032,174,442,342,917,783,154,529,792,834,488,
284,149,090,030,200,802,611,537,071,319,657,519,158,399,117,703,320,356,195,
540,620,644,032,907,645,270,240,612,974,856,610,770,101,141,127,938,761,763,
475,067,317,679,942,645,784,297,286,800,605,064,954,876,511,436,492,193,070,
078,873,615,583,478,361,916,554,068,369,331,715,530,481,947,901,968,355,046,
923,861,495,613,471,896,373,527,669,108,656,994,956,526,144,714,613,283,769,
806,600,238,483,539,380,344,563,445,762,122,974,017,733,980,860,837,593,796,
894,829,554,240,776,507,390,795,724,477,688,739,603,637,238,672,427,526,625,
425,923,008,732,060,666,400,513,016,953,123,616,082,495,684,881,261,755,791,
024,425,088,144,462,452,914,085,260,753,172,968,660,106,467,227,011,752,517,
478,910,798,945,695,991,775,162,563,126,787,616,971,224,605,979,691,612,039,
806,547,169,288,401,773,727,675,867,276,902,773,144,474,921,204,030,538,795,
844,763,204,284,625,006,373,063,271,897,639,117,253,661,470,742,916,951,292,
049,766,096,733,516,213,681,303,038,298,400,457,984,234,337,472,519,643,128,
556,174,852,895,307,147,363,960,975,787,720,830,819,660,525,252,904,369,518,
701,426,298,767,553,106,635,522,713,441,311,998,776,228,179,233,504,997,906,
949,997,991,625,894,574,222,371,801,518,334,597,582,262,654,165,696,524,950,
022,841,207,443,267,387,835,426,929,040,855,404,438,056,345,713,239,167,506,
490,049,436,878,920,139,273,129,564,843,271,356,291,206,768,200,615,835,414,
430,413,992,557,383,954,532,684,809,999,251,954,063,004,023,148,671,435,133,
886,094,940,507,807,367,876,940,501,437,699,159,978,938,052,590,737,389,711,
016,747,282,820,188,326,158,014,047,233,595,787,199,858,592,078,982,341,497,
628,726,157,708,927,455,864,440,053,859,033,435,907,172,306,490,698,090,925,
035,936,543,199,583,719,986,426,530,162,514,448,408,834,809,886,745,034,764,
951,365,608,231,016,025,888,462,581,946,373,897,695,479,190,698,919,546,646,
936,583,510,495,178,634,239,261,857,505,123,130,837,422,491,576,029,369,133,
562,183,797,149,814,180,390,982,194,513,746,414,429,220,780,244,136,622,290,
493,045,820,885,297,083,406,560,179,682,465,780,791,463,751,938,495,150,937,
610,315,429,038,032,201,867,922,940,537,705,404,694,029,923,770,709,067,039,
364,781,322,439,284,211,186,220,371,887,617,182,078,903,722,233,160,709,906,
096,464,716,199,291,981,087,968,797,506,824,888,446,331,676,013,207,555,696,
594,163,621,200,166,532,265,315,672,369,713,909,418,806,029,147,702,571,649,
767,749,397,757,548,448,362,904,960,267,230,087,458,704,664,927,319,232,991,
020,590,385,577,727,555,318,816,462,769,833,499,128,298,011,312,040,361,006,
325,198,205,299,982,548,189,043,155,155,159,239,228,118,072,268,858,645,949,
176,264,440,141,528,689,136,939,792,688,168,550,918,297,165,532,473,118,185,
789,610,203,325,665,049,000,948,560,616,812,314,371,299,385,203,649,421,469,
451,143,123,583,102,896,312,995,590,207,113,907,396,875,640,010,516,277,171,
736,072,869,074,413,429,825,583,727,231,946,034,291,452,123,501,284,953,850,
160,811,799,295,643,861,305,531,684,521,664,398,762,631,265,224,732,670,971,
975,553,829,756,566,401,023,928,157,921,513,247,190,533,317,324,621,369,255,
673,948,526,229,536,688,242,061,748,768,353,869,703,859,149,999,554,346,193,
445,824,304,246,861,587,229,917,605,671,617,077,816,754,227,864,442,845,721,
910,810,305,056,127,708,394,886,970,699,277,258,127,818,390,243,372,081,087,
451,301,272,722,314,094,683,879,166,598,256,517,188,135,673,059,924,093,908,
998,228,666,542,090,271,370,784,351,511,503,081,743,409,705,060,319,771,614,
303,965,490,583,647,122,988,754,558,290,204,596,683,571,664,585,852,503,000,
025,662,630,139,361,355,924,969,265,779,675,104,142,552,469,040,237,521,357,
353,145,958,031,422,400,783,512,738,287,998,656,965,667,974,159,065,068,952,
475,108,133,604,925,147,899,203,595,352,824,241,124,111,456,143,638,080,178,
185,656,845,696,542,487,356,390,103,997,021,938,569,518,265,006,409,655,164,
370,156,833,714,158,527,895,448,846,985,705,180,792,765,885,388,025,538,371,
146,547,467,745,772,820,257,700,023,071,458,154,076,142,646,378,298,416,231,
915,274,000,389,774,293,839,923,370,992,491,886,816,569,349,090,969,081,515,
334,077,490,251,431,589,775,946,953,741,435,730,816,025,468,897,599,832,372,
444,058,021,589,236,634,879,844,547,312,329,936,323,007,105,536,731,454,272,
513,249,483,128,078,742,547,419,522,332,648,191,847,324,709,204,555,579,445,
007,556,454,038,802,149,707,766,267,833,070,594,082,628,901,842,790,985,232,
114,750,815,669,382,268,213,266,203,001,333,940,484,805,359,972,121,336,724,
615,297,942,510,297,216,280,733,756,754,370,892,310,879,007,016,338,134,943,
255,885,063,691,536,933,606,120,731,033,816,797,564,528,365,917,087,401,203,
593,670,563,507,054,292,327,215,707,146,951,110,875,703,908,931,229,014,679,
655,423,709,894,765,525,365,679,923,841,967,527,425,577,773,622,488,831,416,
942,616,900,661,648,581,687,763,484,953,780,369,329,302,059,193,050,237,133,
152,059,662,108,306,313,924,342,415,811,690,465,859,991,615,175,747,974,337,
826,079,668,227,136,611,350,557,672,170,348,636,381,505,416,205,039,732,177,
777,953,559,560,482,652,950,222,522,937,733,933,318,953,179,869,978,227,605,
842,206,367,527,106,394,903,651,751,146,706,352,664,599,699,306,958,880,324,
956,880,812,832,835,357,138,307,058,861,991,655,953,120,880,206,158,760,284,
875,334,276,476,318,752,750,275,975,677,509,766,621,620,170,028,908,230,122,
508,081,847,972,110,558,887,290,837,306,744,488,621,175,018,046,823,149,924,
403,146,448,807,687,872,292,823,092,683,750,892,252,053,286,341,580,611,175,
592,670,503,536,294,296,682,959,983,803,426,118,260,914,637,910,638,513,085,
547,897,518,059,530,824,158,895,854,443,574,661,370,405,959,018,785,030,362,
544,253,673,274,796,114,164,670,752,123,829,168,194,214,392,438,336,715,337,
117,769,211,388,123,193,131,355,732,087,068,234,016,898,161,320,094,414,646,
441,349,884,637,687,500,849,112,844,360,652,278,346,917,403,975,923,868,971,
258,439,554,644,035,253,971,861,410,980,422,006,287,598,584,481,911,594,831,
709,670,829,799,417,993,850,121,705,608,678,677,444,860,480,766,400,181,685,
226,352,698,873,453,839,943,531,645,831,103,483,414,749,921,100,175,980,333,
946,739,203,261,074,724,510,548,017,663,458,332,035,911,491,168,620,425,564,
847,260,821,656,116,929,730,752,885,457,687,406,256,651,281,417,422,715,871,
209,582,561,096,622,047,648,616,372,333,920,706,942,065,260,954,083,903,090,
273,170,557,074,314,617,762,977,693,244,190,345,456,775,260,253,083,238,418,
427,735,294,543,160,858,825,580,148,129,176,549,412,199,018,012,684,809,898,
439,074,469,211,880,474,077,984,824,283,031,635,856,611,796,224,202,106,582,
514,286,797,648,372,886,679,504,606,197,393,025,462,637,758,453,257,618,936,
292,341,667,528,801,722,016,592,203,462,068,391,130,857,162,381,070,184,087,
416,513,977,419,058,875,611,729,316,639,374,440,402,216,217,024,901,839,486,
096,935,994,094,911,429,541,730,882,123,472,423,676,216,637,042,204,277,320,
562,295,418,954,941,648,817,288,608,555,434,752,414,471,674,838,383,028,781,
650,347,079,396,557,634,514,402,564,408,512,642,683,552,252,019,608,245,946,
747,144,525,328,897,738,745,928,099,895,151,419,792,681,991,416,112,141,337,
893,798,530,206,965,927,866,583,976,505,706,673,059,087,050,852,137,211,948,
771,108,152,724,791,764,568,783,745,484,166,825,529,456,719,659,260,937,323,
540,498,546,520,357,067,116,274,718,091,071,941,852,336,961,669,380,944,155,
460,699,388,323,017,392,006,732,819,437,813,682,462,537,571,591,770,758,597,
323,485,410,712,365,741,996,569,470,538,693,875,234,784,223,427,241,171,514,
779,623,206,715,964,495,464,422,537,276,527,995,173,351,146,196,438,605,399,
040,301,915,713,868,594,366,492,954,821,424,231,770,366,901,827,743,624,986,
056,159,766,046,726,018,926,324,590,514,504,279,045,221,024,076,781,988,524,
178,861,035,117,806,892,023,734,136,500,527,519,892,340,811,676,530,157,221,
330,171,097,489,647,483,446,246,109,185,434,027,503,674,610,975,108,850,591,
021,540,807,736,585,147,374,031,366,855,438,357,706,575,688,525,060,587,131,
721,969,417,136,333,421,839,369,988,214,215,856,148,781,179,626,678,987,602,
290,904,260,242,205,966,718,519,446,227,043,570,133,472,607,665,659,091,229,
524,640,018,583,505,988,463,577,080,773,236,322,592,989,849,052,670,005,835,
203,412,879,388,838,948,740,399,545,088,250,136,401,237,743,128,340,317,665,
057,018,727,545,390,981,285,205,290,179,271,309,207,000,186,334,486,374,315,
606,085,288,254,503,662,561,142,633,235,265,689,624,732,171,255,895,896,959,
890,198,824,941,814,490,391,654,962,724,019,284,886,517,369,074,792,164,382,
095,741,634,991,843,610,913,290,563,595,468,232,431,213,090,018,188,562,339,
495,203,901,547,293,110,186,851,574,550,979,944,589,688,603,438,753,923,355,
927,438,101,530,377,729,085,646,597,840,609,066,094,079,464,944,253,108,353,
510,854,907,126,340,304,179,974,487,939,556,541,400,960,251,728,750,529,466,
174,176,782,463,801,340,599,619,740,789,730,790,657,341,552,283,320,833,484,
172,116,649,156,101,507,881,275,075,523,237,161,247,603,215,163,953,550,125,
903,035,501,948,225,037,723,919,700,703,864,267,287,764,729,171,199,201,923,
487,233,421,349,124,995,183,057,983,001,489,749,509,126,192,966,359,304,959,
117,141,093,066,691,837,789,118,533,011,411,751,825,014,540,934,016,009,356,
634,380,576,394,720,517,872,923,186,730,187,334,383,198,369,996,096,874,739,
548,947,731,320,345,782,163,147,559,496,004,511,279,303,544,219,960,067,458,
398,795,353,287,424,529,397,071,607,439,020,432,139,170,431,450,019,193,780,
187,797,935,592,324,620,611,556,008,583,071,242,774,263,104,671,011,694,843,
293,194,608,481,456,782,953,172,254,759,177,708,042,421,998,456,840,574,325,
565,128,222,510,718,190,575,965,187,509,745,466,616,629,312,659,179,419,734,
521,206,349,412,067,184,910,897,046,656,688,846,357,459,114,283,319,965,283,
604,350,410,975,148,226,674,400,052,807,499,710,043,511,879,732,791,758,051,
101,527,952,381,799,728,702,128,334,730,813,669,658,336,981,427,416,005,403,
515,913,596,567,231,811,002,318,911,903,735,975,547,297,183,990,705,231,126,
974,914,740,043,642,667,552,446,271,963,236,312,436,395,012,056,975,724,210,
105,701,655,331,486,086,283,301,233,215,799,188,729,985,593,031,081,998,290,
025,262,725,236,123,167,927,057,085,731,965,222,249,865,469,298,029,091,478,
110,836,814,834,452,247,382,691,400,768,132,433,294,323,004,506,170,652,025,
176,622,159,299,506,314,663,058,624,553,531,690,546,191,985,091,505,680,452,
793,357,352,989,663,275,089,463,567,537,211,680,917,130,310,615,620,013,189,
696,560,698,490,211,842,554,720,691,147,943,602,851,810,989,820,775,869,114,
482,733,760,997,699,248,299,693,410,464,852,106,368,903,710,462,929,768,310,
954,412,859,776,420,130,133,181,147,235,854,890,157,209,388,206,546,847,113,
700,404,148,173,375,574,302,721,972,028,575,880,588,004,798,967,606,346,371,
283,718,093,760,731,105,293,406,474,065,205,736,633,398,231,146,678,873,418,
101,465,786,241,672,059,316,603,201,208,182,519,247,601,606,192,906,444,882,
879,332,231,577,442,930,245,235,984,482,289,272,824,425,840,531,586,489,228,
634,396,291,900,947,345,019,609,270,967,555,049,568,956,705,300,955,338,224,
008,573,027,887,437,843,623,093,558,800,325,551,771,297,956,969,788,889,320,
290,873,097,284,615,081,226,632,897,676,222,138,879,506,719,565,755,565,832,
628,726,064,364,894,155,782,203,609,949,973,015,686,204,329,467,016,118,109,
883,462,155,250,037,940,916,886,113,497,510,275,314,469,360,350,699,697,595,
788,824,627,878,395,467,440,271,447,554,872,775,151,630,759,856,746,219,593,
348,074,824,990,641,948,106,362,732,550,851,121,924,536,834,361,189,987,120,
260,183,926,147,429,163,880,090,384,570,445,988,189,881,489,767,104,775,965,
932,087,356,104,764,295,505,133,936,796,996,242,280,965,028,868,349,867,579,
769,561,074,121,130,572,972,592,891,806,870,429,524,093,416,857,772,694,181,
427,049,575,076,223,256,071,988,735,484,744,296,858,395,030,610,363,045,683,
414,007,021,415,647,155,293,941,646,596,883,358,300,428,904,527,408,439,915,
201,489,778,514,848,102,084,009,217,366,548,780,986,856,381,333,295,058,986,
877,065,925,119,980,324,745,119,522,505,755,942,367,601,225,931,428,294,309,
521,424,051,038,498,466,114,761,793,133,098,501,922,479,292,581,685,994,865,
871,594,093,015,374,145,361,636,017,987,246,761,678,037,105,675,935,000,266,
977,797,435,356,244,749,315,858,193,761,401,663,179,149,138,309,997,565,327,
830,512,634,115,525,123,523,411,273,835,479,127,097,752,175,650,143,780,425,
748,056,696,693,403,932,378,165,971,553,841,346,747,967,702,499,932,257,765,
459,944,709,327,275,828,415,712,583,918,422,266,612,538,183,964,632,361,518,
074,364,710,285,890,096,575,192,078,621,892,060,037,062,702,530,176,480,949,
888,467,216,768,554,338,805,948,275,813,638,735,328,073,764,321,189,381,161,
533,078,019,120,509,897,764,856,577,912,685,134,835,204,249,531,266,973,611,
461,174,181,585,748,919,195,319,435,741,023,238,638,441,724,623,153,147,761,
605,206,078,127,255,552,731,547,629,452,340,904,426,121,430,581,633,314,141,
203,199,936,331,660,479,895,053,172,402,178,107,791,783,032,628,219,506,393,
504,130,056,304,088,673,413,841,723,697,249,251,005,351,151,344,101,439,184,
398,641,918,050,180,374,329,485,614,717,618,971,871,695,741,656,278,833,185,
438,696,474,727,915,788,852,865,928,590,054,177,776,666,730,887,112,124,468,
071,767,474,841,065,378,654,646,149,828,317,234,928,898,089,342,542,024,261,
942,964,784,801,789,310,581,556,971,290,012,628,344,574,307,438,565,772,319,
487,041,217,769,287,551,654,468,655,189,821,750,563,192,012,376,043,263,443,
696,771,751,069,104,390,368,103,488,219,201,863,207,934,503,310,309,566,134,
733,620,602,241,395,456,148,800,441,867,546,023,095,802,290,483,607,989,951,
395,173,743,215,934,668,115,069,539,919,896,047,264,267,039,794,157,745,974,
953,476,311,649,922,153,770,096,680,915,924,448,551,456,964,376,506,204,088,
733,487,802,030,094,695,919,929,580,071,770,775,601,721,466,344,458,040,459,
719,376,943,628,889,713,490,782,268,976,703,298,359,272,292,662,558,565,928,
205,360,986,456,344,143,136,504,586,597,833,918,862,892,858,239,301,426,148,
602,533,010,158,704,328,407,999,393,447,993,278,768,421,952,604,785,636,642,
370,988,769,287,947,864,437,765,832,937,581,618,766,182,224,940,466,792,187,
804,723,307,934,611,587,718,106,139,338,373,859,902,997,964,524,245,762,610,
812,729,444,821,934,906,778,195,683,571,114,249,860,330,887,253,575,586,942,
598,802,852,828,483,535,114,096,827,959,888,791,948,636,640,813,219,813,979,
637,310,046,408,481,979,181,648,388,879,175,965,802,139,315,726,991,048,987,
323,318,150,668,031,029,608,742,563,363,758,375,927,869,921,258,027,365,942,
725,215,109,635,533,494,856,713,336,702,987,588,145,738,854,123,736,710,467,
210,052,777,488,421,627,222,060,269,622,455,150,231,353,223,710,427,252,848,
636,527,758,900,956,950,721,532,414,620,908,839,994,699,272,611,076,826,513,
323,203,944,064,403,733,344,573,808,822,250,833,051,358,806,068,081,624,365,
646,977,184,921,747,196,179,761,848,993,193,386,746,074,352,736,106,689,596,
373,963,714,689,690,407,214,961,720,110,671,330,056,524,337,934,083,297,130,
812,303,011,252,662,728,482,657,486,143,429,610,822,016,128,051,545,380,081,
326,719,723,373,027,319,825,649,915,691,020,966,469,957,292,914,854,066,286,
678,591,822,294,268,171,764,768,085,830,770,990,283,379,813,257,426,913,187,
670,633,347,241,147,596,224,550,038,117,001,198,491,418,120,936,021,897,167,
410,756,292,691,478,435,424,764,372,316,179,293,095,327,538,037,996,167,891,
402,153,693,165,224,449,313,880,643,146,016,282,711,733,690,572,083,288,983,
799,693,295,336,134,946,430,730,743,828,522,907,069,881,867,768,157,991,459,
851,092,717,850,881,999,606,304,271,317,057,236,173,839,951,981,083,253,444,
020,793,109,398,992,687,703,964,050,207,822,040,990,748,954,619,448,065,263,
940,952,804,466,743,940,460,348,693,551,100,754,301,710,407,303,838,517,680,
339,327,620,906,990,334,493,206,615,081,991,162,727,588,734,234,673,251,003,
854,931,592,611,701,484,780,880,447,964,640,452,284,870,999,686,394,414,258,
610,578,895,473,698,758,774,004,869,155,949,317,307,903,851,142,207,673,409,
361,635,729,096,613,024,881,556,732,025,770,329,678,982,156,003,152,238,229,
809,312,849,484,177,484,728,771,474,703,554,109,034,659,324,825,038,593,773,
171,355,947,988,901,048,952,449,930,247,389,147,977,032,959,377,295,167,551,
829,679,547,263,878,009,807,857,613,635,195,723,621,433,001,355,948,858,421,
526,613,671,153,404,446,733,176,252,852,210,882,275,426,850,746,098,553,544,
930,139,892,877,506,945,074,297,431,898,991,496,239,413,076,834,204,475,187,
660,725,528,195,256,570,995,191,394,494,116,566,848,595,014,295,393,524,202,
807,199,048,985,687,810,139,502,086,286,041,463,689,153,698,080,032,652,088,
905,273,234,203,100,722,474,115,864,085,596,212,014,937,165,210,330,220,898,
229,177,875,693,638,631,418,469,386,780,522,803,397,246,372,410,430,865,466,
501,817,142,341,073,204,832,901,826,220,294,296,438,397,942,142,283,919,492,
725,858,585,008,258,777,227,691,094,892,779,369,667,658,201,365,868,589,158,
971,667,413,742,296,610,674,300,535,748,147,880,538,427,140,816,719,814,932,
910,733,456,818,874,395,751,069,474,666,427,931,433,185,161,078,695,391,092,
575,417,480,282,809,538,344,943,079,981,575,874,601,083,938,235,870,949,517,
231,780,252,727,731,378,315,119,801,741,348,955,871,857,037,842,506,948,456,
273,437,771,312,407,177,312,237,624,622,219,581,801,032,752,995,081,735,387,
159,171,635,985,073,744,181,591,553,523,013,192,539,793,095,279,813,173,694,
983,525,598,911,793,324,897,881,121,214,034,117,982,947,073,063,959,776,739,
370,467,414,441,890,251,231,423,079,004,860,716,192,119,593,599,671,746,329,
285,679,732,210,573,257,584,893,073,160,914,772,024,721,364,459,417,952,756,
115,783,815,742,201,317,379,203,312,129,356,757,254,952,773,197,354,513,725,
812,215,613,959,458,275,505,731,650,345,113,976,454,370,810,973,097,370,094,
719,097,503,568,997,775,268,112,628,165,447,471,253,077,675,031,391,049,899,
080,280,889,965,643,417,664,755,603,250,164,024,487,237,102,170,887,843,124,
950,954,894,750,153,346,842,950,911,469,915,196,012,838,485,932,167,558,505,
526,942,498,824,104,039,835,668,628,977,509,090,817,756,949,963,227,627,796,
537,954,901,834,040,416,253,735,044,762,939,574,481,699,937,150,375,453,385,
689,575,053,271,561,184,438,134,153,029,167,026,848,903,324,031,926,519,639,
781,481,763,267,374,949,715,620,226,615,719,059,670,066,230,816,558,589,289,
200,090,068,249,131,980,258,168,095,516,945,377,230,330,172,422,822,536,650,
603,874,225,390,948,343,673,562,248,610,488,874,607,934,478,123,858,239,638,
646,418,648,778,947,562,265,461,641,672,550,285,423,559,164,839,664,660,537,
629,700,424,427,686,264,669,298,076,747,593,268,705,998,588,560,750,123,336,
344,854,371,451,041,004,003,065,559,651,212,548,098,614,486,521,940,612,168,
190,559,782,851,174,610,530,960,577,019,086,459,328,210,616,988,576,827,851,
272,029,627,848,436,643,124,984,157,156,476,405,061,220,531,925,265,402,540,
801,608,104,968,744,724,441,622,853,690,555,504,808,397,033,683,832,132,745,
826,620,045,089,464,305,628,843,455,865,561,395,803,560,577,690,509,812,698,
165,405,598,824,008,255,303,406,473,095,030,779,321,853,303,220,657,633,989,
345,582,032,945,594,696,353,999,814,212,502,030,040,361,699,506,825,547,738,
868,650,382,464,033,317,450,109,741,432,640,325,629,341,899,172,516,013,996,
541,664,915,900,131,503,866,055,725,867,637,668,952,242,455,218,067,967,642,
410,716,603,705,818,538,841,386,775,964,878,465,083,715,125,012,216,009,634,
213,338,209,634,187,201,786,016,686,354,362,350,604,930,268,135,453,372,183,
036,020,131,037,763,196,543,943,396,444,354,836,264,561,365,612,173,847,181,
067,287,046,016,278,406,963,564,717,333,078,848,281,576,003,963,085,381,525,
809,415,689,850,099,288,866,316,779,420,230,066,753,433,610,217,431,789,102,
104,752,728,270,801,134,849,970,275,891,091,342,330,056,058,364,623,407,667,
698,303,670,603,890,205,859,007,290,373,076,863,106,993,834,003,610,562,559,
759,112,955,239,500,433,909,877,892,134,069,080,409,068,817,892,800,389,761,
375,612,640,966,664,984,745,594,509,499,019,401,920,593,293,612,506,529,888,
237,654,076,409,196,959,666,964,713,114,485,109,507,395,011,294,521,198,871,
697,436,350,483,638,237,243,988,943,249,416,216,312,808,186,705,311,560,254,
702,053,822,559,941,929,597,654,913,701,143,470,067,017,838,079,767,435,864,
761,735,506,638,134,470,039,461,814,048,316,531,998,958,580,270,764,375,330,
574,494,791,300,359,618,210,423,508,267,292,877,084,817,655,640,163,712,254,
659,224,795,877,529,662,772,397,362,423,948,908,295,111,535,196,650,438,557,
325,271,649,242,360,269,420,732,700,880,081,194,634,760,975,953,148,368,271,
200,671,839,791,315,430,020,341,397,858,405,751,583,925,710,169,301,121,900,
888,535,817,582,326,392,214,570,972,925,932,058,013,358,231,254,396,824,430,
202,597,069,392,663,066,210,895,386,933,775,105,427,281,559,330,912,273,596,
977,668,299,237,609,086,976,908,272,913,353,773,901,715,507,261,405,983,772,
460,628,425,702,726,908,837,792,719,717,910,170,512,829,088,033,547,279,445,
752,331,583,095,127,024,388,322,548,303,288,429,162,442,177,765,250,934,651,
116,942,302,751,184,555,259,698,116,308,707,567,607,220,195,887,166,259,844,
086,116,796,507,617,602,721,934,717,103,216,796,739,332,495,931,335,647,278,
772,582,960,855,357,318,949,598,341,563,191,194,132,946,307,970,546,591,059,
718,552,436,738,890,697,169,050,908,824,287,349,555,644,741,715,208,088,949,
268,305,345,053,460,568,967,357,307,161,230,448,513,256,431,331,589,491,317,
040,247,130,913,384,285,443,969,630,969,404,001,676,083,111,742,227,490,819,
738,205,728,622,116,905,236,959,938,262,467,186,814,122,343,520,407,774,040,
816,425,593,073,281,243,401,498,174,483,060,152,251,207,470,047,714,770,867,
334,362,981,176,444,697,088,579,525,861,082,359,541,747,688,118,720,048,256,
392,229,596,412,709,511,578,975,558,731,012,601,228,999,616,944,568,535,284,
681,863,914,572,007,907,632,148,745,680,876,469,052,988,734,329,741,093,565,
468,243,413,732,242,294,103,055,853,922,898,844,809,641,521,819,138,961,657,
134,598,763,429,988,482,948,861,849,311,769,796,935,242,780,100,738,544,363,
085,394,475,820,883,097,706,935,274,581,787,990,048,889,993,750,681,682,431,
300,229,901,452,549,130,646,729,607,869,273,480,007,586,392,023,966,144,408,
393,549,263,562,808,121,807,132,576,639,909,520,021,939,676,535,992,091,681,
989,749,770,467,223,400,843,374,924,614,958,373,857,254,538,243,290,275,678,
548,251,526,536,025,143,366,339,403,226,000,065,554,803,094,751,098,472,648,
794,287,998,884,317,996,942,437,162,215,034,020,051,059,815,095,917,342,724,
743,298,058,849,046,496,378,473,927,372,730,253,050,826,044,578,077,281,524,
159,007,195,915,516,322,263,989,156,016,964,625,962,972,965,429,178,865,982,
854,576,158,157,524,613,973,034,652,064,373,502,488,292,390,705,061,115,316,
417,672,795,229,075,127,469,599,367,020,795,943,937,243,342,146,308,491,141,
171,686,528,820,443,381,561,695,037,566,925,985,902,649,657,152,371,172,705,
859,801,361,455,301,617,021,066,573,457,509,164,333,249,490,345,081,187,059,
731,317,390,436,978,737,488,602,310,737,741,035,967,896,189,397,390,703,362,
121,276,077,676,855,428,031,427,122,360,652,630,014,448,365,569,757,251,925,
138,083,716,320,422,909,092,088,425,719,150,061,322,935,445,050,336,211,179,
808,130,282,370,969,450,117,944,344,149,102,595,029,987,720,679,165,084,590,
929,372,011,558,352,499,597,944,413,588,573,163,237,618,089,697,135,809,956,
844,554,517,246,657,388,063,259,790,851,795,342,414,591,649,373,702,203,677,
554,529,546,636,198,190,154,932,201,487,523,756,363,393,641,145,644,021,917,
352,740,194,430,053,501,874,105,164,761,908,042,609,461,492,165,779,933,189,
076,602,899,543,503,211,254,457,572,838,045,098,457,028,170,635,911,632,063,
984,361,327,710,455,231,165,152,347,094,987,083,792,440,636,789,257,989,415,
572,106,867,851,719,154,324,605,781,386,631,458,960,713,991,795,866,762,083,
687,316,642,200,177,409,636,758,451,003,306,786,886,978,164,105,533,323,410,
765,972,762,607,588,580,744,511,903,003,618,083,653,155,979,834,502,466,602,
039,465,930,285,158,783,325,412,861,947,518,248,159,395,419,166,246,577,499,
891,874,457,286,965,057,241,706,996,626,528,263,878,693,222,990,386,012,611,
329,497,961,473,208,730,085,707,810,439,443,735,198,113,287,457,318,340,037,
361,368,574,664,372,099,977,219,326,068,619,004,385,586,184,957,016,447,803,
746,183,761,349,094,190,775,640,222,704,596,893,235,991,580,553,304,206,584,
698,206,102,772,853,135,181,546,198,361,840,639,798,734,749,346,335,654,646,
121,066,084,657,943,043,814,130,563,908,285,191,728,741,641,209,973,892,866,
648,161,240,056,747,000,904,243,613,177,888,335,385,088,410,482,742,895,854,
289,769,649,927,712,128,077,599,367,379,771,190,502,369,476,115,872,337,457,
559,921,029,251,768,421,895,912,188,339,296,190,302,302,652,034,801,677,118,
805,659,503,235,817,219,813,727,492,145,101,428,455,143,144,165,010,508,512,
061,096,402,159,068,829,359,646,991,465,391,617,050,705,805,075,551,735,660,
605,368,205,657,482,237,456,863,798,169,472,067,091,974,507,744,856,002,191,
035,059,127,599,517,403,858,194,191,245,426,633,080,897,442,685,110,752,959,
568,072,268,550,729,530,584,533,323,193,597,003,561,225,475,152,832,307,777,
518,840,435,131,175,884,642,512,831,393,535,031,617,922,441,575,910,097,383,
479,222,930,805,983,100,847,931,959,140,818,808,367,662,786,822,239,766,692,
104,828,326,045,791,326,527,893,938,327,326,543,760,710,264,639,445,017,048,
533,054,739,357,079,599,738,908,517,683,253,581,846,592,887,656,282,081,914,
902,523,356,196,140,575,719,748,394,979,769,836,957,064,704,560,436,572,299,
289,694,112,408,484,244,174,189,622,434,460,748,738,080,913,102,174,061,759,
960,322,196,096,475,785,904,296,678,849,925,725,290,518,338,054,457,133,508,
480,282,053,760,647,742,126,211,338,129,230,226,891,371,554,853,033,705,143,
231,230,347,171,699,290,301,699,937,562,941,064,162,908,834,032,593,514,386,
178,386,406,991,910,803,807,844,665,894,571,357,743,773,613,497,851,353,902,
700,087,795,578,142,194,451,070,476,953,961,895,977,383,840,950,427,029,914,
612,044,293,844,442,055,009,465,429,666,094,592,844,880,521,123,013,151,795,
045,457,671,355,888,741,095,057,359,950,747,062,693,480,184,271,737,288,434,
022,242,029,916,020,114,477,248,420,738,781,390,187,526,564,669,372,312,317,
293,026,501,238,107,873,208,195,500,883,002,408,799,815,494,010,341,451,864,
407,678,601,162,406,080,749,634,757,463,607,849,307,590,801,730,498,322,535,
911,235,343,238,303,223,628,014,412,193,249,610,617,451,546,621,095,339,523,
572,186,679,925,121,791,372,883,853,217,762,408,910,981,581,648,920,394,074,
535,828,889,030,251,048,747,659,622,916,913,027,715,227,862,933,061,054,840,
170,102,860,146,835,600,877,836,681,797,062,302,673,534,278,214,358,558,838,
008,385,745,081,989,052,269,431,118,801,301,792,401,009,299,776,204,213,694,
705,771,209,293,820,788,072,686,176,259,316,459,221,009,593,327,497,932,514,
439,346,655,241,680,344,869,455,315,978,880,942,165,565,950,484,144,210,667,
427,561,563,394,138,230,599,186,456,690,615,402,661,724,676,362,542,410,091,
712,010,587,692,731,633,346,986,091,127,735,271,674,869,458,012,947,239,737,
631,853,358,876,118,537,306,858,670,015,573,868,540,326,997,780,793,584,723,
036,155,001,862,406,036,697,457,156,387,743,794,662,739,072,605,765,349,397,
655,511,211,917,597,661,062,014,099,230,985,001,268,641,720,871,080,324,524,
570,461,398,696,808,622,146,134,485,488,557,103,286,148,586,464,077,590,565,
098,502,036,445,253,307,531,656,298,539,074,799,906,628,614,320,340,534,545,
717,007,030,652,680,860,350,427,253,396,912,817,084,938,743,721,498,575,525,
285,315,734,845,887,284,954,318,769,732,009,335,112,348,558,381,597,122,564,
456,114,727,349,550,418,902,984,781,485,672,489,153,437,649,633,278,872,781,
701,778,706,215,818,945,853,649,891,788,226,194,249,012,212,354,315,707,741,
012,115,250,200,625,701,935,221,909,717,467,107,567,547,964,876,170,756,984,
863,797,813,055,204,015,191,045,184,712,407,461,392,067,251,627,334,315,886,
892,074,711,346,125,328,460,714,245,646,602,622,941,967,054,745,262,544,606,
075,254,619,973,770,806,365,451,219,786,999,718,635,948,708,508,930,501,361,
201,208,098,372,177,130,138,276,104,637,544,017,689,464,484,764,533,592,141,
724,725,917,934,757,664,827,490,870,156,471,146,189,791,735,569,104,921,222,
926,601,687,252,566,857,376,580,061,411,696,709,476,507,692,591,578,440,417,
267,583,515,349,109,736,560,243,064,060,090,056,699,015,632,499,724,478,656,
311,137,268,384,857,314,025,006,474,394,117,731,791,209,115,470,390,852,558,
529,695,873,677,980,386,493,885,909,166,951,014,034,613,095,311,373,540,227,
936,155,097,419,435,568,534,862,920,811,522,621,018,507,766,232,443,281,058,
036,044,012,092,159,165,076,577,059,469,421,841,596,075,887,751,627,276,098,
951,354,692,789,437,237,321,224,289,371,621,355,920,644,869,429,260,927,694,
102,069,500,015,414,030,786,968,416,733,998,500,664,830,560,783,398,689,783,
238,589,746,932,694,453,385,305,786,670,709,555,570,207,454,464,379,099,232,
299,175,819,999,937,512,370,935,992,016,941,100,017,084,406,233,104,919,401,
713,763,052,278,269,393,064,830,869,371,818,507,109,703,495,711,728,379,421,
808,228,620,477,719,493,803,981,868,933,035,441,591,696,129,370,682,379,014,
805,763,161,544,205,276,143,158,959,634,874,701,989,580,035,291,495,050,531,
432,930,249,026,563,324,471,989,607,893,636,255,495,455,108,905,651,964,731,
170,644,182,573,227,507,039,472,635,008,246,206,671,376,716,673,691,835,724,
050,465,669,342,035,176,646,724,252,602,822,730,319,659,018,044,548,745,452,
734,550,052,329,078,041,378,251,843,795,683,822,205,173,480,735,605,211,248,
055,824,226,881,550,368,543,797,031,431,535,488,102,963,403,630,586,904,450,
674,238,270,362,412,490,154,463,429,724,707,878,737,500,011,714,942,004,194,
725,562,357,776,031,435,950,029,025,244,128,865,160,605,200,694,237,787,807,
460,799,086,998,594,435,915,084,360,051,376,103,487,172,815,135,849,082,370,
393,080,349,520,724,688,677,090,275,017,495,170,207,941,857,423,043,519,596,
093,144,039,914,574,502,372,915,053,430,084,821,086,286,879,646,144,734,478,
008,782,297,679,132,573,966,807,973,908,339,511,201,635,602,196,481,799,351,
621,357,728,846,806,644,233,577,178,754,113,613,973,780,842,074,457,412,519,
849,720,142,828,939,169,090,578,469,674,575,652,623,467,392,319,824,467,463,
109,494,176,824,732,537,967,153,682,527,986,864,994,405,536,056,385,985,537,
413,366,876,743,512,272,644,873,605,022,069,075,067,822,623,108,095,656,556,
435,741,726,165,298,862,581,657,640,045,404,401,261,448,149,506,245,146,115,
055,189,743,391,182,365,728,739,104,907,588,373,582,695,379,231,948,543,473,
188,519,569,273,394,398,865,661,970,278,628,256,302,435,674,042,715,028,173,
005,977,692,250,851,171,192,595,434,405,784,600,937,753,525,940,528,537,188,
748,597,634,320,036,751,714,963,594,622,713,855,227,748,102,208,227,908,747,
939,957,257,396,049,666,574,580,535,748,643,371,904,947,549,208,984,715,186,
661,521,835,762,108,021,333,934,747,150,919,998,776,770,535,850,438,868,753,
521,632,842,480,809,421,160,924,699,579,887,794,200,277,574,259,499,369,682,
473,535,096,892,808,509,905,542,452,130,235,647,331,356,988,179,141,320,840,
927,927,448,607,502,669,844,711,442,557,453,464,689,021,047,444,933,072,872,
130,672,632,479,067,183,306,993,296,208,128,262,253,634,621,193,373,962,337,
014,713,974,048,283,151,007,814,672,197,568,766,549,095,981,588,641,817,957,
743,070,269,630,765,254,433,326,108,371,671,073,949,768,326,804,786,787,210,
522,143,962,211,416,738,270,233,463,748,584,703,306,117,492,900,701,102,108,
228,228,633,667,305,555,533,440,829,500,656,235,103,414,059,434,121,370,059,
792,194,689,239,259,970,544,555,013,153,012,245,230,137,579,715,746,289,044,
326,918,556,812,833,328,396,295,789,657,107,468,299,115,253,366,142,308,258,
118,612,581,118,435,397,709,460,689,954,240,682,561,770,027,749,660,790,435,
938,892,607,452,216,384,245,564,827,152,569,572,277,508,989,172,193,943,955,
177,653,423,876,166,233,808,264,409,130,041,592,337,101,728,643,199,251,431,
648,684,507,883,837,780,245,274,614,496,815,518,721,886,569,311,814,197,050,
588,797,998,246,981,352,007,718,455,772,260,810,589,671,910,985,135,795,735,
735,187,757,238,940,118,783,155,616,685,826,617,790,751,333,946,677,309,460,
125,658,827,797,404,213,514,878,901,577,450,352,796,786,654,476,505,558,872,
385,882,410,345,595,216,019,050,241,861,128,473,042,437,660,255,752,424,312,
753,106,906,321,816,306,633,505,582,042,211,131,378,061,735,533,958,193,731,
768,869,007,930,470,407,375,798,181,019,851,773,793,479,739,773,994,317,322,
082,873,731,454,649,181,886,281,233,645,465,193,594,098,027,960,533,721,995,
189,117,725,608,352,928,864,157,732,219,095,167,314,758,888,624,358,774,955,
432,810,553,882,354,540,286,772,743,164,867,140,109,485,062,311,846,216,843,
945,538,701,485,188,265,786,919,915,049,064,218,929,784,366,839,455,907,831,
224,712,906,685,201,400,518,448,973,693,768,549,463,188,844,970,417,310,387,
589,617,416,812,905,063,716,380,545,323,717,904,286,155,815,647,498,341,237,
755,066,361,339,106,521,037,842,589,518,870,630,212,390,189,058,705,511,586,
588,369,461,186,480,460,444,491,823,910,486,031,487,358,966,472,984,503,928,
163,887,571,099,316,063,224,063,297,350,641,337,306,432,281,623,715,073,164,
535,202,479,663,141,841,960,111,756,005,340,973,960,917,904,144,397,833,978,
582,449,147,512,064,591,908,611,673,336,299,212,228,408,500,907,605,942,301,
047,266,863,252,394,008,441,009,986,079,421,747,335,404,592,666,317,354,831,
757,744,788,744,501,683,280,449,168,508,770,439,703,246,317,446,814,779,023,
807,135,295,978,614,904,504,882,312,026,845,723,808,845,327,280,650,225,050,
273,061,917,828,326,405,439,703,549,449,603,937,392,240,875,746,457,739,756,
030,044,176,919,933,996,687,678,986,040,786,618,121,341,863,573,576,978,182,
601,311,694,199,984,283,457,261,533,376,418,723,301,280,629,480,004,503,576,
651,836,613,393,138,023,277,741,886,948,550,534,807,019,866,347,386,175,029,
802,233,647,748,036,608,846,473,394,551,981,530,184,741,990,485,001,888,276,
587,041,466,874,481,014,977,175,578,438,644,888,582,476,983,178,111,234,119,
022,628,280,543,008,347,313,190,730,551,775,880,914,543,138,165,004,650,126,
853,089,241,884,768,870,729,228,818,847,406,404,822,278,620,328,575,126,051,
243,210,720,206,408,053,691,036,562,674,730,429,215,144,448,481,080,434,542,
225,899,689,255,474,872,665,776,429,118,034,602,712,338,861,984,597,245,120,
356,228,668,676,790,385,134,605,477,610,433,771,991,940,771,301,075,500,127,
016,611,667,176,503,927,431,692,199,411,745,488,368,896,071,145,649,853,561,
310,272,604,211,586,083,177,047,606,303,691,355,209,625,544,541,988,454,517,
525,441,290,056,541,020,975,533,475,190,645,528,678,007,714,035,035,083,594,
694,720,591,229,417,111,332,666,042,724,536,203,083,400,338,571,788,114,084,
637,290,283,913,081,780,207,246,673,742,092,548,709,374,526,506,605,803,073,
247,298,003,531,705,444,891,052,169,674,070,681,752,545,161,177,353,282,448,
550,867,200,911,424,743,712,817,742,864,721,084,948,939,642,534,982,961,829,
584,649,889,075,848,375,770,394,683,218,037,888,483,075,424,205,366,226,490,
781,167,585,368,707,564,688,620,496,613,922,172,160,242,944,369,972,871,148,
577,182,495,679,363,841,822,783,923,240,390,769,099,455,038,595,186,048,556,
385,361,173,134,030,083,759,746,226,445,315,767,499,439,568,962,400,779,924,
941,554,164,774,175,337,994,714,936,365,459,205,880,557,565,386,044,393,251,
023,697,429,343,209,935,406,249,732,415,568,595,624,143,209,473,661,766,653,
757,186,117,764,940,481,436,764,454,551,583,582,469,835,332,204,918,331,517,
135,816,324,628,123,424,292,241,191,873,757,143,923,161,801,794,654,743,616,
150,362,333,986,692,670,827,772,391,968,942,481,735,521,495,096,762,852,866,
753,547,855,685,804,801,338,000,320,574,096,142,517,688,826,643,825,769,950,
348,385,238,428,116,467,331,333,223,225,765,995,116,412,926,079,395,607,292,
193,796,857,713,495,818,721,972,897,075,706,783,308,955,960,890,112,997,626,
091,261,457,120,650,374,023,136,672,563,321,208,623,106,219,171,571,458,966,
702,593,875,285,282,151,447,186,052,515,364,176,554,619,245,488,651,239,055,
138,963,996,321,832,351,975,620,114,292,597,617,397,576,854,650,805,240,078,
236,335,960,613,633,987,072,445,629,216,678,953,577,266,480,510,437,694,463,
544,287,714,884,290,322,201,916,179,507,172,305,084,614,896,325,239,583,305,
861,107,856,538,256,696,607,591,676,950,087,384,696,905,728,928,134,401,961,
861,892,720,771,172,607,945,777,587,393,055,642,876,167,449,799,389,398,071,
951,058,500,686,443,644,804,174,406,449,551,007,816,669,431,503,186,393,477,
443,226,892,773,324,838,907,129,312,703,998,539,005,817,012,079,736,539,442,
236,217,901,196,780,956,966,422,048,011,210,932,229,369,285,722,182,859,554,
711,569,995,621,924,225,745,960,244,496,333,612,844,017,149,456,034,629,697,
589,557,836,006,933,890,922,100,756,908,219,575,172,653,612,838,001,345,605,
221,477,155,516,248,093,321,865,243,711,926,964,785,383,213,871,181,771,361,
582,736,587,058,748,829,267,415,356,360,340,884,838,339,853,902,938,294,484,
452,396,048,023,727,726,462,119,947,834,251,831,175,258,611,584,837,496,350,
295,987,687,435,279,351,105,694,538,965,013,943,569,249,707,900,019,433,995,
856,961,786,387,885,544,053,695,147,244,935,821,026,818,380,749,992,882,577,
918,374,820,921,439,598,822,474,951,285,086,940,260,357,706,632,262,563,113,
816,566,347,174,621,581,956,134,952,076,178,426,540,968,681,708,219,989,492,
303,967,815,124,164,905,713,166,001,029,755,883,051,362,932,344,103,575,319,
581,352,376,265,478,657,775,678,326,978,589,780,801,054,757,250,124,642,955,
729,657,538,678,169,799,388,948,812,052,394,554,908,172,467,654,490,718,857,
857,054,760,750,255,060,742,495,022,690,346,103,419,630,598,782,604,387,769,
377,628,376,913,443,395,242,614,508,096,354,572,474,729,931,442,100,808,390,
264,400,393,508,781,894,245,778,242,046,998,735,179,219,532,325,344,520,101,
640,882,426,779,117,166,261,902,357,005,847,668,905,461,948,209,007,229,844,
615,489,793,876,014,475,546,115,173,405,141,478,538,780,340,808,890,402,367,
235,422,789,740,739,830,328,750,550,374,284,383,385,485,119,234,893,208,982,
175,635,782,911,572,310,157,696,096,030,436,373,013,346,206,705,972,230,430,
868,640,840,749,047,845,659,305,681,609,455,089,706,257,313,568,364,032,150,
113,566,790,301,661,599,947,029,342,483,271,518,454,081,150,895,725,243,201,
559,346,762,886,570,853,521,052,448,269,341,195,347,867,651,751,395,396,963,
002,827,862,834,613,534,089,499,268,611,348,483,958,376,033,680,350,968,995,
471,153,819,860,829,613,545,735,838,005,622,533,006,635,201,270,498,977,230,
697,505,037,341,299,774,585,716,031,403,614,818,201,558,473,517,919,193,093,
207,890,448,013,097,927,352,080,636,498,698,816,323,336,906,801,775,682,327,
330,036,446,581,081,051,252,540,285,923,907,666,623,236,636,415,020,340,610,
475,054,795,609,654,897,196,177,657,873,882,256,630,643,542,530,056,402,566,
379,648,976,845,909,878,794,447,471,507,517,359,652,510,988,298,699,507,720,
578,191,400,272,378,905,076,434,377,882,535,440,592,491,787,470,402,621,669,
786,471,352,682,649,202,165,123,062,738,744,130,993,493,084,045,041,884,825,
505,505,185,968,210,281,694,217,647,304,194,185,686,139,076,610,796,388,633,
305,794,604,969,763,882,611,530,406,783,245,923,875,776,590,574,844,597,052,
943,234,503,788,832,512,569,448,944,821,376,552,094,207,546,045,474,057,941,
643,716,030,000,403,980,274,229,567,848,946,513,737,826,403,493,232,116,120,
398,587,999,699,832,775,166,285,825,762,036,180,816,809,297,859,403,430,860,
009,301,095,872,079,114,604,063,176,414,413,969,512,260,431,990,280,317,520,
649,271,254,673,829,003,268,314,051,167,161,008,603,255,507,217,849,332,671,
818,864,818,124,815,629,582,202,623,887,726,417,358,399,326,233,699,109,016,
438,648,042,715,998,961,375,751,367,944,728,187,329,434,579,358,229,736,553,
569,389,172,477,258,360,291,422,201,686,737,990,301,481,995,672,172,733,374,
683,769,944,256,074,101,053,572,239,869,957,951,961,551,449,101,082,890,258,
829,414,338,573,882,839,088,927,813,833,355,383,876,925,427,677,506,289,803,
510,348,225,745,862,816,231,674,992,009,913,970,639,158,972,363,366,815,803,
733,275,538,989,685,255,373,610,032,033,257,016,357,947,541,042,516,462,500,
718,562,702,014,702,643,200,768,963,025,736,582,847,998,085,102,450,897,795,
360,450,459,368,498,866,603,354,126,130,966,656,748,308,236,614,591,383,931,
824,284,537,288,222,870,493,238,019,830,555,489,527,762,292,942,713,836,192,
750,939,858,245,975,748,448,392,407,143,122,358,649,807,630,591,093,053,051,
139,193,350,767,501,640,818,473,422,919,142,510,774,302,782,711,867,820,034,
697,914,471,775,775,613,695,184,982,366,724,837,135,626,786,068,443,240,091,
942,513,729,756,600,593,071,288,218,452,732,185,046,157,067,437,836,338,556,
630,009,048,448,797,488,418,281,000,324,647,858,010,622,490,150,661,296,458,
147,260,997,182,353,249,744,510,522,014,294,879,767,313,847,779,307,189,584,
139,052,766,033,182,340,726,036,612,202,376,886,042,028,914,270,544,946,193,
267,015,639,829,414,564,378,409,894,567,848,802,737,823,753,322,431,155,634,
140,709,607,862,387,023,934,484,239,155,852,379,444,857,897,857,354,387,657,
722,946,106,018,604,368,238,771,829,843,517,715,030,838,208,042,997,811,409,
896,024,750,637,915,278,854,833,654,313,527,129,835,871,966,054,770,625,202,
966,543,327,231,650,942,032,476,346,081,150,196,422,157,524,972,612,357,141,
066,489,629,702,733,615,075,033,325,148,522,391,735,434,559,793,030,839,587,
947,415,005,263,983,753,680,113,556,994,772,429,179,487,288,732,322,128,546,
022,888,320,549,941,713,130,176,538,062,558,533,156,390,721,834,235,960,579,
319,997,304,707,147,477,827,052,316,637,460,567,787,785,552,625,811,654,601,
216,612,083,237,337,483,118,477,204,101,886,542,694,507,378,657,911,577,677,
222,882,508,595,502,598,479,786,406,050,897,196,476,623,353,051,795,095,370,
652,815,963,609,356,450,287,317,068,492,418,560,473,061,014,984,333,380,270,
534,005,000,273,936,188,905,837,795,448,436,262,848,233,483,075,503,285,466,
161,896,034,197,598,411,147,136,654,790,865,471,245,376,029,400,222,904,492,
239,006,634,816,732,431,559,657,244,866,386,386,933,623,518,407,262,973,701,
267,264,552,152,724,724,838,494,599,546,939,606,462,837,276,337,397,596,800,
843,229,550,443,868,032,385,655,360,994,086,516,961,157,946,099,924,262,255,
643,157,550,379,282,667,255,490,223,167,446,465,890,201,422,458,964,266,275,
951,989,066,812,045,403,662,959,643,371,701,215,672,072,107,158,711,878,676,
637,344,100,192,707,529,217,270,350,942,776,787,678,659,342,993,107,241,183,
500,827,474,895,152,272,756,418,464,032,635,670,981,571,414,348,226,737,730,
543,651,656,776,735,047,654,019,135,964,881,914,839,226,820,672,284,737,740,
057,017,441,764,610,384,552,118,762,455,367,102,531,052,611,816,902,120,140,
332,970,520,621,643,494,929,326,300,938,982,411,639,366,723,644,335,910,938,
918,436,499,470,904,624,800,665,673,338,710,430,600,636,520,088,436,928,951,
639,398,963,188,605,415,784,895,899,476,088,483,290,855,855,454,599,480,675,
301,783,135,064,423,444,885,370,443,673,991,826,208,552,746,461,032,979,074,
897,915,241,233,164,425,856,834,443,889,083,989,079,200,381,612,783,342,037,
457,953,034,072,309,904,284,701,162,691,282,899,476,421,141,133,982,352,347,
300,104,660,560,292,033,037,048,484,123,553,692,005,178,855,366,171,816,896,
987,797,491,268,197,423,371,845,476,037,478,025,238,526,595,431,550,614,497,
013,723,429,582,052,992,608,182,852,211,146,833,349,540,914,917,837,442,776,
838,136,411,553,620,033,789,521,431,364,607,114,894,280,428,961,446,676,580,
426,863,861,746,198,740,148,135,854,438,637,018,356,507,590,899,223,871,719,
270,958,766,868,915,223,776,135,154,678,161,934,973,255,048,892,436,354,801,
185,578,233,905,079,886,864,709,929,994,774,411,090,204,845,720,913,102,693,
951,603,414,618,740,396,385,906,987,574,765,215,807,406,315,584,768,813,184,
359,187,179,419,189,243,690,636,960,862,812,304,211,180,410,295,627,144,240,
597,108,263,716,416,582,643,463,258,791,098,962,483,781,765,661,973,598,392,
240,475,500,897,316,325,686,988,847,180,168,518,561,648,269,088,732,276,965,
935,572,770,871,227,430,203,200,721,420,094,408,403,680,101,053,559,942,218,
223,118,501,851,313,922,072,615,404,695,508,374,452,461,287,465,625,373,138,
037,561,689,826,925,137,344,205,432,924,230,266,555,139,523,326,327,784,848,
028,496,311,814,059,281,971,842,685,816,046,702,026,135,891,427,983,230,745,
673,194,676,105,705,325,490,607,374,639,251,108,803,367,093,633,921,099,421,
646,128,063,243,489,322,309,654,880,628,230,220,260,533,536,262,700,001,426,
770,400,260,776,592,140,824,526,572,839,375,605,516,219,771,791,992,994,713,
544,223,030,288,211,785,240,712,958,543,105,160,860,751,976,747,699,007,184,
208,117,428,457,945,505,385,814,360,440,895,558,684,333,350,872,922,769,314,
597,065,990,840,061,597,288,002,374,886,274,504,037,151,781,708,130,397,175,
187,237,164,442,177,312,670,972,748,129,801,201,202,721,926,634,625,490,479,
397,684,235,800,627,517,385,941,970,150,576,110,130,041,859,831,762,968,209,
025,890,387,687,392,084,751,430,049,838,112,885,913,959,255,032,766,770,048,
462,412,924,956,464,679,898,456,328,840,554,070,838,586,711,595,421,822,676,
049,990,464,694,171,445,438,323,101,567,982,093,751,215,522,147,724,098,847,
191,842,601,981,735,137,070,991,508,450,549,483,639,131,271,643,133,254,044,
172,836,404,959,195,656,901,592,708,267,179,776,192,210,743,267,404,087,927,
802,093,115,147,417,497,372,671,533,035,370,917,003,719,352,895,154,049,087,
017,526,978,092,731,429,266,973,933,319,521,324,763,342,475,811,687,720,321,
126,190,114,153,274,817,919,796,142,276,984,109,585,262,180,311,960,189,840,
959,199,032,428,079,859,935,284,968,743,798,709,823,124,800,766,923,609,760,
972,870,269,390,242,286,148,924,867,797,126,861,016,968,820,778,403,966,890,
189,463,335,419,847,019,415,552,432,083,001,354,088,242,094,617,994,750,350,
577,379,049,591,386,863,338,011,926,874,792,415,821,433,627,542,875,721,111,
139,553,122,860,230,365,168,742,923,881,637,357,856,541,500,470,786,542,634,
601,969,193,012,558,448,838,744,226,301,035,872,138,650,946,415,932,098,283,
191,285,232,044,810,215,129,729,507,383,730,233,251,705,868,240,311,548,755,
634,475,152,959,932,097,698,463,760,514,005,516,055,778,320,290,548,795,554,
778,769,031,782,802,023,735,446,078,814,368,521,085,780,355,604,067,401,479,
139,259,066,011,762,100,639,052,407,308,870,619,240,196,700,778,772,100,791,
663,337,554,539,292,316,448,677,956,126,624,781,425,722,348,917,258,848,523,
102,138,874,700,821,186,795,849,316,922,169,141,566,060,530,615,482,582,142,
361,517,022,553,022,243,902,630,488,662,495,722,949,127,308,790,846,226,707,
321,397,583,042,268,774,494,886,265,988,195,190,274,804,446,050,140,185,586,
636,036,506,080,688,855,901,090,677,090,027,702,600,624,290,637,822,978,490,
989,989,860,788,537,089,686,808,773,492,925,450,129,951,593,354,142,479,621,
336,626,320,630,341,814,234,300,512,341,573,114,918,156,797,834,205,041,550,
314,495,145,955,918,714,202,180,351,364,105,716,059,812,022,811,685,042,150,
918,459,653,141,773,281,062,533,968,258,818,313,676,617,605,744,740,442,342,
334,932,837,340,472,006,113,724,584,446,433,700,171,127,521,620,566,933,859,
747,263,327,428,711,056,287,723,807,781,652,412,289,859,358,318,078,742,481,
812,374,065,224,117,994,270,706,971,700,600,336,186,102,180,926,298,041,527,
159,142,111,937,557,335,941,309,250,918,474,019,727,981,342,247,196,183,973,
146,852,052,648,254,935,781,296,402,605,873,087,096,933,410,498,756,757,757,
149,594,747,869,222,369,358,195,294,685,332,141,118,020,926,347,953,807,554,
589,552,746,710,953,190,547,142,194,363,123,289,542,165,482,025,301,743,127,
532,576,895,699,227,030,419,171,195,125,859,638,589,102,705,362,683,156,764,
068,727,171,850,498,127,656,488,034,210,326,480,554,671,673,733,655,570,388,
732,500,240,479,318,730,908,588,881,100,856,583,271,718,859,048,527,147,962,
157,735,484,268,564,978,979,733,981,945,559,664,159,081,268,254,910,481,807,
193,247,239,325,876,447,346,878,534,330,243,577,174,400,998,763,808,958,409,
730,247,373,583,453,138,312,132,944,379,466,824,984,451,355,423,830,112,218,
365,359,944,324,884,194,355,164,442,953,743,498,109,102,929,248,346,892,627,
290,613,700,290,215,902,595,314,151,269,204,829,443,102,138,374,642,233,393,
257,632,789,427,526,842,745,302,179,067,916,688,358,340,101,506,975,719,252,
084,418,355,627,050,950,553,941,446,867,395,290,969,681,248,637,970,910,650,
062,092,058,868,207,227,310,148,536,649,024,008,413,200,235,470,988,122,225,
323,810,315,645,349,707,169,525,477,080,912,232,869,427,327,139,142,765,704,
367,948,913,312,468,859,605,439,173,264,958,851,520,323,697,619,172,528,991,
160,621,904,468,313,927,989,734,723,578,192,613,309,659,801,332,259,267,427,
180,306,297,333,636,741,485,680,282,839,118,305,739,113,719,767,782,531,773,
243,282,909,248,051,504,923,506,123,478,548,256,416,333,262,903,764,939,865,
677,759,142,346,470,153,308,314,895,361,905,704,014,424,181,113,848,706,451,
724,663,549,368,843,332,002,820,258,507,609,728,451,875,460,956,557,246,186,
718,500,625,823,265,638,722,718,622,611,281,073,236,000,927,749,670,659,584,
058,476,700,970,308,193,596,828,835,032,641,530,743,716,705,547,896,321,574,
197,739,706,494,158,357,658,384,118,003,178,321,382,061,131,385,982,532,935,
384,161,435,291,192,996,900,103,532,616,215,911,650,185,138,057,447,384,286,
961,880,115,806,250,953,790,880,422,583,346,684,860,580,928,654,180,012,365,
594,958,364,519,306,174,364,873,304,763,462,119,779,156,050,842,951,413,622,
772,856,551,072,700,336,260,702,749,173,066,252,315,145,388,095,813,465,463,
043,135,538,872,087,539,841,180,237,362,048,175,981,946,655,458,968,023,609,
209,757,185,692,996,187,654,845,741,566,250,581,078,970,464,710,470,102,022,
519,480,104,827,614,465,761,132,890,037,637,951,839,451,629,100,507,384,090,
375,853,877,774,297,450,239,773,191,119,837,651,374,608,540,343,582,622,338,
935,779,058,674,952,918,786,344,899,791,612,934,184,147,093,437,386,691,722,
324,048,193,941,121,045,809,097,924,450,306,990,831,203,050,846,805,364,946,
888,571,647,149,402,326,482,320,348,895,879,121,773,163,831,159,023,775,559,
606,176,199,098,455,709,406,373,895,988,088,734,294,716,865,271,611,788,184,
622,467,599,782,738,748,492,673,708,187,479,758,836,574,289,901,018,149,894,
230,578,703,908,549,271,143,924,666,966,624,335,277,549,405,323,830,505,156,
365,947,936,740,294,175,361,644,979,243,569,308,696,065,174,153,967,078,864,
069,948,881,588,007,080,082,700,759,835,769,101,233,249,065,039,809,853,201,
242,418,014,305,107,950,426,187,783,328,557,820,093,065,378,521,475,578,647,
015,212,638,846,897,539,389,794,286,001,897,011,372,937,614,982,493,448,899,
147,906,731,644,952,177,055,109,995,295,546,450,788,289,001,252,604,366,519,
056,698,554,674,035,409,068,397,099,718,664,229,743,306,548,120,223,972,246,
739,441,399,835,958,444,752,036,090,398,283,532,378,012,910,904,827,064,698,
443,412,537,969,181,664,170,107,199,492,063,980,266,524,473,356,632,426,218,
418,087,204,092,165,937,292,933,814,267,304,225,597,392,868,931,839,722,252,
309,379,348,659,023,086,697,895,194,464,118,088,325,184,814,073,081,167,543,
093,317,996,510,689,115,559,741,666,161,922,668,231,583,426,702,827,621,244,
662,809,030,999,623,121,682,866,394,369,262,292,619,376,702,252,566,639,515,
900,220,392,847,316,511,936,439,493,278,552,075,732,629,510,611,259,064,413,
895,827,199,455,433,694,735,989,120,297,529,211,284,779,478,411,230,620,968,
882,408,706,619,839,807,725,925,999,547,198,694,771,583,647,672,082,965,530,
977,943,856,133,883,426,191,975,671,645,904,764,532,308,099,097,179,572,995,
677,201,977,074,768,740,406,533,453,686,464,905,979,569,342,207,878,956,974,
799,784,720,081,573,699,123,885,229,192,386,116,429,182,430,788,796,294,638,
315,873,447,033,630,038,965,301,654,072,763,269,044,384,143,352,311,388,616,
605,665,260,824,020,624,260,149,599,367,027,615,012,655,202,594,073,370,878,
025,068,449,829,913,081,288,256,960,270,030,344,024,482,113,353,804,092,405,
367,289,825,153,276,488,460,820,647,925,228,582,345,300,401,669,810,216,473,
448,846,581,653,355,731,245,646,456,240,795,365,968,856,966,652,525,089,259,
152,683,477,102,553,840,160,688,557,240,386,721,571,963,433,680,700,163,337,
232,123,590,991,469,274,913,404,027,547,153,091,631,908,713,737,555,678,038,
962,183,968,554,026,396,861,029,018,699,681,941,999,043,262,863,768,038,608,
778,363,833,254,425,769,368,168,752,755,267,624,760,770,178,667,974,007,869,
849,396,481,315,091,387,749,426,740,520,851,468,612,093,061,906,335,559,653,
076,808,629,259,393,510,086,879,262,791,911,107,168,227,195,514,001,841,788,
261,885,873,600,064,740,426,992,549,775,978,420,160,811,550,716,119,113,224,
210,593,027,052,642,042,268,232,435,981,192,889,259,230,621,909,917,129,579,
520,341,375,400,040,673,456,252,855,804,751,643,889,124,415,503,575,091,376,
915,783,668,155,217,070,868,830,900,628,186,958,080,343,117,583,499,656,513,
015,874,718,401,094,473,673,747,027,081,159,470,153,047,692,290,935,954,313,
170,243,826,991,630,374,410,202,742,161,672,822,407,041,522,861,855,488,525,
633,521,117,572,119,022,863,490,447,065,556,397,820,223,416,659,272,886,610,
447,763,855,543,005,261,373,526,960,599,435,133,200,919,915,726,334,578,197,
241,221,463,178,627,294,080,085,733,693,539,201,844,377,923,719,907,271,442,
469,969,810,028,559,325,779,655,003,829,126,488,845,032,007,596,808,125,966,
709,136,855,888,349,737,435,253,964,498,241,920,244,716,447,086,340,890,319,
051,959,913,472,745,933,610,657,296,017,476,991,526,528,072,910,027,057,245,
690,387,993,904,320,560,573,382,056,667,822,205,744,031,175,919,499,549,578,
824,067,711,645,873,428,984,593,257,174,418,245,429,576,169,064,630,395,014,
445,035,851,201,523,224,602,995,505,431,651,496,169,574,615,295,912,895,424,
743,543,030,885,726,290,565,911,795,396,784,924,851,222,993,852,794,120,981,
588,011,432,885,766,253,650,659,058,562,993,289,361,787,484,454,979,034,776,
021,523,090,655,489,583,737,110,269,646,081,689,978,207,203,851,613,812,058,
397,297,209,945,806,140,043,947,168,720,147,020,045,398,987,794,800,719,030,
972,539,728,800,992,652,532,346,952,572,139,327,165,180,041,810,131,839,372,
133,540,296,465,172,119,025,781,830,705,228,270,498,776,667,714,487,163,289,
295,080,890,298,741,298,485,497,335,638,896,163,275,501,469,787,122,429,109,
422,239,161,660,177,425,166,943,560,994,360,871,147,056,897,991,970,419,283,
253,498,306,590,468,446,632,476,575,564,781,979,726,441,028,062,450,742,155,
579,602,016,455,650,076,849,950,001,146,210,944,128,505,504,767,799,494,675,
426,563,987,511,145,805,478,307,381,716,441,454,637,238,891,724,789,531,207,
533,703,996,323,120,562,125,240,843,691,477,305,456,111,940,876,024,771,346,
681,362,930,780,235,906,816,274,366,654,589,224,367,847,758,823,374,268,901,
190,853,108,286,514,994,834,736,632,765,556,027,965,239,974,963,881,547,707,
788,892,645,983,027,982,268,871,687,098,120,846,512,300,393,455,404,402,825,
631,697,510,614,318,317,433,715,759,937,259,366,421,733,625,785,551,630,217,
525,524,411,924,623,339,510,478,235,258,103,171,954,986,722,538,685,769,807,
536,089,776,381,491,116,494,275,217,815,157,364,639,097,163,718,781,573,389,
094,208,806,970,304,183,393,881,788,600,452,870,481,811,279,844,047,219,451,
926,631,050,739,448,774,467,234,470,468,346,242,602,999,314,401,938,606,014,
450,442,974,613,430,466,704,642,391,491,783,230,149,244,858,549,655,240,858,
542,657,311,312,430,380,750,359,833,518,228,207,799,048,674,979,087,542,950,
665,243,798,437,585,586,664,815,667,265,938,902,106,122,832,050,488,080,105,
113,526,107,814,655,622,201,640,256,322,774,768,349,789,022,139,429,734,853,
120,167,952,944,947,342,265,842,596,018,758,189,427,220,721,494,119,627,924,
511,768,987,778,125,614,580,747,674,096,045,978,440,976,013,081,802,588,107,
524,178,753,191,969,963,964,269,203,710,715,558,803,034,919,311,399,257,259,
402,917,164,181,878,370,002,726,383,551,528,332,812,977,930,538,319,967,714,
726,925,595,042,499,905,364,236,830,148,603,846,341,731,981,892,355,576,707,
043,167,593,745,773,719,458,880,863,772,302,587,201,013,587,450,859,786,329,
345,217,927,601,673,513,765,399,616,211,012,485,355,104,671,585,904,917,568,
334,204,259,434,871,067,784,101,013,696,796,933,051,092,067,592,424,717,723,
386,024,509,796,449,068,582,982,151,186,286,796,829,930,961,764,875,510,859,
181,844,240,071,354,532,006,447,067,300,057,070,641,299,929,654,896,524,982,
148,980,439,180,520,657,709,854,785,795,688,871,578,528,277,096,396,415,017,
635,752,019,493,707,913,702,120,901,399,456,027,198,759,763,133,948,866,177,
142,609,690,894,612,367,139,283,298,884,489,056,655,844,388,980,161,685,830,
491,118,357,269,315,534,470,852,989,110,066,414,427,499,338,053,737,580,441,
589,277,398,772,620,914,329,683,842,890,611,008,050,542,260,345,636,207,764,
248,725,045,691,174,480,546,068,927,404,815,465,922,355,582,813,500,597,183,
735,873,664,581,618,825,442,735,205,558,626,860,438,640,529,120,792,117,796,
267,823,576,197,643,247,603,429,662,284,684,375,635,006,098,605,012,145,525,
990,454,069,548,530,281,057,166,618,186,398,150,639,455,775,230,451,070,482,
235,087,625,045,518,252,603,073,890,910,613,097,137,230,232,657,796,122,283,
151,799,625,047,041,475,178,188,953,556,805,139,832,082,585,784,945,613,791,
784,147,613,755,892,938,905,226,811,282,617,124,656,134,346,595,286,479,519,
231,965,625,678,755,537,718,488,122,024,268,537,294,674,576,335,139,374,138,
251,199,010,139,394,761,480,331,657,720,042,225,147,149,228,625,709,491,644,
706,144,319,101,692,256,892,106,918,265,474,080,991,334,851,633,700,502,118,
259,442,919,467,964,911,107,662,854,330,436,682,054,119,371,645,012,903,769,
010,685,555,740,174,489,514,273,226,348,997,175,195,359,365,312,208,542,278,
944,796,838,507,827,630,204,536,541,256,688,789,058,120,515,736,771,427,326,
935,730,512,831,003,839,667,719,227,378,396,136,717,640,898,389,864,393,530,
900,736,329,058,771,329,800,610,184,258,706,592,455,475,510,332,449,974,911,
235,263,229,999,492,985,027,081,718,318,952,744,193,725,344,671,612,792,742,
217,020,512,856,957,967,158,007,452,202,935,892,267,868,842,361,545,359,906,
982,627,824,120,337,225,014,678,431,040,785,068,166,989,635,002,937,205,548,
741,699,400,795,242,391,136,313,733,956,642,720,344,063,456,147,063,524,102,
748,393,851,747,487,895,923,623,583,055,108,221,423,485,505,686,947,820,999,
221,224,441,533,370,959,630,618,740,641,302,215,950,350,214,761,097,840,569,
756,921,692,294,358,063,091,494,828,312,454,564,272,248,136,119,793,842,592,
654,302,675,748,528,995,034,739,729,814,678,782,344,978,442,138,889,060,265,
699,593,956,881,566,744,252,063,653,404,079,936,327,733,896,677,689,048,649,
040,351,397,474,869,335,791,612,405,917,625,917,725,797,426,510,569,914,161,
442,334,447,646,750,249,920,091,424,426,328,659,090,760,059,799,326,688,585,
852,845,240,344,891,311,849,786,264,032,823,246,249,115,530,762,625,013,865,
836,356,720,733,821,207,338,659,345,083,076,847,972,978,626,038,699,260,349,
562,650,155,224,156,713,262,469,863,361,247,144,592,264,757,003,311,236,655,
381,783,677,208,866,328,091,877,876,345,436,672,691,197,341,278,966,087,943,
566,758,514,853,032,701,294,520,225,330,041,374,427,145,225,308,368,098,983,
923,341,620,943,487,034,594,658,000,764,424,092,555,768,655,627,183,507,044,
506,524,160,110,459,850,925,794,437,069,428,364,892,348,754,206,924,324,779,
655,613,206,856,984,870,319,535,581,472,837,700,095,023,858,958,523,075,792,
050,866,952,755,355,206,968,232,542,450,192,290,812,518,362,465,872,726,340,
519,623,750,294,552,061,861,027,780,298,608,099,764,057,458,564,215,881,481,
729,440,166,712,949,711,278,807,721,556,487,026,621,932,449,051,334,459,720,
767,771,150,045,516,745,042,518,648,127,930,704,899,611,917,105,845,885,256,
504,368,560,049,438,052,414,081,326,325,918,038,948,509,727,371,012,311,445,
115,760,448,401,423,518,530,819,343,385,634,626,076,405,835,283,739,418,736,
361,772,686,777,207,228,134,699,585,379,529,475,254,055,840,917,849,394,326,
172,324,140,118,294,745,826,374,892,227,706,876,655,228,986,749,495,897,759,
633,567,077,078,064,075,633,723,774,744,851,282,251,365,839,397,158,920,711,
407,967,278,651,147,021,383,964,146,335,823,512,621,108,555,494,925,569,533,
547,036,497,770,812,945,538,477,797,923,227,738,002,218,900,683,479,961,703,
482,663,806,128,062,906,711,845,407,055,891,132,843,611,583,507,512,693,043,
738,366,094,214,361,927,445,390,946,853,446,876,721,650,262,815,068,576,561,
715,871,674,619,756,835,027,585,386,445,283,685,210,800,659,990,305,401,363,
663,872,708,253,960,695,199,680,643,265,990,570,494,006,098,580,844,679,301,
335,137,530,665,907,374,574,382,404,849,387,289,680,048,058,015,059,631,318,
812,733,374,459,918,798,147,244,194,560,516,485,373,951,197,999,529,614,389,
647,189,250,496,132,324,111,201,590,439,518,541,957,156,559,893,293,945,128,
733,289,476,248,604,598,468,022,426,835,850,948,991,979,297,635,524,830,259,
532,746,086,947,454,904,638,275,957,232,591,913,778,665,032,029,152,617,044,
686,229,137,134,208,787,710,287,686,348,705,834,137,964,279,777,011,090,784,
556,816,851,553,304,091,430,160,344,287,870,590,132,674,403,730,084,963,728,
652,761,079,470,321,819,009,244,112,071,273,556,948,817,594,639,094,881,069,
776,905,278,271,880,933,781,771,439,827,069,554,523,426,579,444,970,972,832,
636,451,912,026,252,073,716,742,865,952,050,618,716,987,625,349,270,429,235,
426,936,410,165,198,737,621,922,672,649,190,695,976,930,574,838,188,490,538,
401,611,346,514,317,966,211,796,826,275,381,112,722,455,274,968,238,406,311,
087,555,567,374,546,791,919,002,861,821,595,032,926,190,478,525,080,616,678,
588,861,395,922,580,843,257,825,119,935,231,339,327,900,972,567,794,330,401,
171,619,898,093,095,759,007,385,696,750,638,738,265,184,731,989,985,137,385,
566,525,090,254,997,537,778,922,562,708,397,491,501,503,976,310,002,413,936,
289,123,908,027,930,386,448,706,696,834,436,485,448,458,053,395,800,857,006,
467,523,308,413,363,271,754,161,916,127,312,299,828,669,227,529,887,160,114,
712,859,561,215,819,681,478,961,699,734,350,121,342,888,384,684,759,550,571,
258,971,903,895,693,399,832,343,378,190,800,661,901,819,728,395,918,156,697,
039,997,708,290,337,946,034,534,110,022,374,915,471,333,162,836,766,250,677,
838,796,820,576,288,116,287,117,961,117,114,160,782,094,412,095,227,991,085,
864,896,139,219,061,096,833,344,823,706,551,364,577,421,820,425,417,152,511,
615,552,152,014,819,862,975,627,874,069,477,440,816,752,144,416,338,920,892,
611,903,796,456,067,464,642,379,856,712,593,435,375,076,788,750,606,905,652,
305,439,806,753,662,392,667,987,734,496,882,183,399,298,287,512,877,430,056,
587,294,778,869,211,444,192,127,626,862,805,094,524,135,454,584,283,031,796,
370,186,187,540,527,172,737,087,156,794,486,580,194,205,561,094,542,881,954,
308,448,061,137,753,168,582,650,995,979,198,957,718,007,810,419,046,606,258,
412,412,701,875,205,644,948,839,492,382,136,443,460,471,678,352,618,259,888,
285,326,986,428,358,003,520,234,356,240,499,911,677,254,300,817,941,620,984,
111,038,491,835,202,535,453,367,175,231,195,264,837,103,645,537,639,675,322,
170,116,811,855,229,716,702,946,624,987,891,783,743,056,392,087,122,671,970,
750,639,733,248,181,762,236,597,021,039,438,253,078,759,220,782,525,094,825,
264,413,216,187,724,947,805,228,096,669,438,029,535,516,945,358,346,141,244,
781,149,712,233,900,812,386,280,583,078,756,069,028,971,032,563,753,594,430,
892,352,826,559,556,672,499,056,507,411,749,213,688,725,107,439,677,657,804,
414,225,729,463,607,546,569,512,379,185,638,258,559,764,003,968,995,383,694,
879,935,711,455,136,917,777,201,268,553,697,793,986,452,371,311,024,392,755,
361,509,402,387,195,803,580,448,293,217,940,160,085,639,018,156,891,758,555,
587,344,277,809,970,527,202,950,166,032,245,464,784,623,722,436,418,170,294,
728,812,577,025,100,000,376,527,343,200,548,399,031,543,208,544,151,346,655,
497,085,388,177,941,386,568,146,284,293,655,937,610,400,082,488,070,231,408,
875,574,611,814,663,113,207,404,362,785,251,536,470,423,971,959,892,688,633,
308,863,472,017,268,705,990,362,284,538,858,928,009,915,519,256,673,769,800,
897,316,771,859,944,259,726,077,664,619,656,280,981,858,233,681,997,772,855,
296,383,522,985,442,948,986,702,665,831,801,089,525,885,738,289,472,254,808,
522,010,555,300,596,553,792,967,382,384,170,120,511,873,652,929,859,599,264,
821,247,815,855,869,275,503,515,454,971,329,222,374,422,558,293,901,137,039,
228,359,368,971,015,648,196,241,934,199,547,048,412,638,792,334,353,636,513,
494,107,082,253,044,598,374,092,568,506,435,765,213,098,139,077,361,945,205,
184,298,260,194,196,266,735,802,384,800,649,749,114,163,957,793,466,465,614,
325,803,106,441,571,396,860,802,642,109,111,056,328,858,918,271,645,320,550,
728,096,862,280,359,094,787,612,426,047,706,033,631,373,232,703,301,443,450,
053,598,144,657,435,904,584,709,431,077,295,534,331,738,781,747,238,719,117,
963,195,649,649,425,955,829,194,423,780,922,431,824,778,254,116,622,722,186,
475,406,411,344,920,087,474,557,088,106,278,236,744,996,357,600,510,582,932,
273,794,578,311,088,108,703,452,885,709,411,487,125,333,515,544,555,476,971,
088,591,042,322,843,416,597,664,360,923,328,406,232,224,610,484,178,597,915,
219,209,600,878,287,226,997,805,698,468,442,885,088,982,169,273,103,916,911,
578,545,289,941,128,074,043,040,662,192,284,680,550,188,707,414,156,632,027,
979,010,362,209,964,364,393,248,247,049,293,137,156,270,139,338,688,249,589,
782,816,385,566,285,897,070,744,882,931,619,963,656,124,199,345,202,976,412,
850,593,126,025,515,121,467,353,938,011,343,259,371,070,164,613,656,975,468,
349,474,849,837,489,968,111,442,991,401,893,306,453,968,502,333,524,619,038,
738,283,975,813,102,373,503,411,825,871,331,883,152,797,608,643,305,953,530,
534,633,584,665,006,910,845,485,172,859,270,838,885,352,956,182,821,114,485,
465,879,932,631,334,782,914,466,817,830,847,692,699,432,894,743,313,461,476,
113,743,190,459,597,175,348,137,050,289,023,540,570,509,750,745,297,312,198,
007,918,449,608,255,477,653,990,918,936,118,893,184,487,139,436,915,616,517,
472,107,646,085,321,412,488,065,429,793,530,172,393,163,425,727,629,742,194,
373,411,977,788,132,562,682,619,268,272,696,980,415,474,492,474,158,997,354,
876,624,055,624,243,519,250,787,664,187,167,294,282,124,583,785,279,138,466,
993,565,792,216,745,284,195,343,316,915,147,657,831,084,008,430,343,560,906,
192,834,297,150,253,592,843,888,918,813,371,263,868,714,721,183,899,748,069,
005,066,951,278,816,510,525,338,600,154,162,121,564,896,715,012,521,894,473,
465,037,976,089,024,975,667,811,492,987,245,877,458,494,172,206,529,285,624,
437,568,914,781,250,437,063,724,015,767,831,644,807,883,826,642,957,099,361,
197,639,457,071,093,419,305,420,534,344,818,182,064,191,042,607,783,008,578,
534,686,983,970,069,016,730,741,922,857,474,165,119,381,689,194,902,673,139,
953,773,302,393,941,331,215,093,944,451,208,276,959,762,941,252,945,650,722,
594,920,066,404,506,543,832,918,971,373,393,564,031,122,025,192,458,198,333,
521,384,985,913,470,025,195,469,923,839,276,216,057,184,491,738,639,810,612,
818,990,103,294,504,343,254,153,754,321,133,761,365,173,061,275,981,243,404,
447,711,345,233,582,894,707,608,049,018,986,510,158,630,327,300,945,907,307,
658,550,010,197,254,743,723,169,993,693,055,715,395,662,968,175,910,997,640,
572,428,974,544,027,423,436,780,500,142,058,941,451,806,658,276,493,655,658,
877,121,077,862,569,948,284,192,205,422,934,429,912,645,518,542,268,358,053,
998,468,255,357,449,389,904,493,303,606,202,794,301,800,144,397,247,970,175,
122,971,965,139,018,260,676,505,855,450,361,783,810,612,128,618,722,230,040,
302,263,854,695,259,984,859,363,619,265,765,773,253,550,690,299,298,736,979,
491,641,002,900,066,805,207,580,338,421,934,442,789,253,686,711,162,610,658,
901,512,681,488,278,257,493,689,980,839,908,086,736,886,742,255,500,918,470,
532,333,662,146,957,008,773,329,918,399,595,508,913,098,933,513,691,665,296,
248,260,479,796,593,438,486,694,255,660,685,436,147,128,777,108,340,189,089,
772,124,674,841,014,504,041,125,801,073,628,209,607,324,121,910,941,051,932,
414,803,207,582,248,050,334,665,255,080,220,899,370,165,272,072,195,794,381,
369,475,609,844,987,955,467,602,355,341,815,501,001,861,447,841,291,253,851,
006,082,705,205,384,177,881,073,677,140,458,210,185,527,104,918,334,897,332,
062,484,211,225,179,538,253,297,806,338,471,487,146,023,577,169,782,034,544,
934,926,950,308,304,802,805,226,959,870,857,164,221,191,072,489,277,923,355,
121,517,403,488,930,110,575,435,018,133,173,505,975,250,181,057,927,249,260,
328,388,242,511,000,794,904,926,479,689,387,559,856,905,495,181,883,306,893,
768,040,480,344,804,734,827,667,960,267,251,064,975,632,973,197,398,484,103,
700,042,406,127,831,260,892,299,758,536,201,378,980,886,774,333,317,585,814,
870,199,264,633,295,897,819,056,016,350,163,180,819,004,152,486,905,354,805,
472,300,493,015,406,479,683,482,148,008,188,105,995,157,128,186,805,023,423,
554,359,341,173,623,832,510,895,546,582,421,474,598,561,062,620,156,186,744,
832,746,728,655,366,269,935,360,956,148,088,261,032,233,204,336,749,333,576,
464,026,652,746,230,248,391,760,508,406,205,251,649,553,922,664,257,690,874,
392,893,635,587,132,831,816,620,118,832,645,464,785,687,025,624,927,393,315,
573,613,199,444,348,969,148,629,781,137,871,878,847,717,622,755,193,952,529,
030,322,919,914,410,407,120,032,053,296,446,787,815,950,243,953,716,037,446,
134,952,494,083,481,816,429,290,149,576,763,225,620,705,523,147,935,857,002,
274,133,000,363,857,401,625,017,521,678,614,232,103,531,596,605,633,073,920,
639,548,336,961,124,236,238,848,453,483,234,767,707,917,598,459,065,017,598,
377,520,327,557,463,683,345,470,835,328,899,532,148,564,001,956,255,667,167,
202,335,494,882,056,217,421,016,991,290,609,975,617,778,083,337,014,811,802,
002,994,825,704,651,017,609,606,627,533,752,026,511,743,671,394,564,003,744,
531,584,374,861,631,782,633,167,787,492,723,977,457,230,775,534,573,511,888,
245,662,057,951,866,266,902,567,514,856,622,224,957,130,953,595,544,483,369,
097,442,277,080,369,728,892,592,081,619,412,708,934,136,248,053,451,713,836,
349,414,477,901,566,695,092,204,771,720,059,505,598,899,378,366,958,882,248,
657,154,155,620,975,247,678,910,332,189,852,606,441,037,702,423,276,491,039,
305,105,049,816,581,052,302,846,287,107,292,015,928,313,874,940,960,226,247,
327,173,073,563,295,102,465,947,997,021,794,728,933,891,288,170,751,277,155,
368,202,199,176,825,649,956,741,341,059,239,728,656,673,822,754,322,236,929,
147,502,626,298,102,013,099,358,899,266,865,688,537,045,645,885,346,591,138,
636,565,271,181,107,265,641,564,707,285,065,095,699,565,424,346,284,568,536,
169,817,665,692,786,974,152,287,214,368,055,521,846,174,922,176,909,734,995,
295,518,034,379,517,333,424,238,444,942,485,991,506,598,668,519,778,868,577,
634,097,398,729,333,708,683,416,879,453,610,428,215,396,311,664,865,524,121,
362,737,819,435,889,664,651,640,455,285,631,468,389,814,718,730,167,926,585,
711,706,676,200,728,138,081,567,215,072,505,118,995,662,335,174,612,778,534,
938,972,384,038,999,898,438,633,877,913,708,408,266,631,413,592,564,721,922,
980,958,592,607,348,635,269,305,551,690,371,795,379,281,554,401,678,333,986,
062,067,731,996,558,996,330,256,098,164,124,562,785,674,775,140,952,246,367,
775,319,700,942,313,403,252,693,458,232,174,733,924,854,753,083,381,327,240,
585,551,789,234,650,436,384,959,743,875,228,989,180,444,979,165,041,497,767,
865,517,211,650,357,900,027,249,356,998,310,765,095,995,983,671,553,421,880,
891,447,391,076,893,529,170,577,875,844,104,724,176,691,171,449,103,563,241,
606,600,458,460,953,819,692,651,960,162,877,405,942,411,437,703,045,897,808,
267,566,445,086,772,732,443,244,876,103,598,782,729,894,991,004,273,992,051,
967,604,792,245,719,816,312,263,323,166,519,357,964,797,810,414,658,546,268,
177,614,953,270,356,411,020,892,438,935,807,351,998,695,563,845,090,513,064,
694,330,170,770,721,317,585,093,048,732,925,259,328,811,583,305,008,347,406,
796,053,874,393,892,351,169,737,382,572,686,642,430,081,998,790,391,521,714,
678,237,396,725,205,697,215,687,586,962,315,682,125,492,861,918,413,038,795,
411,854,478,188,056,687,017,250,788,346,484,369,660,241,401,820,493,439,940,
459,670,923,207,738,247,888,784,128,329,988,503,694,573,695,425,941,054,047,
155,159,196,621,777,209,370,139,750,140,490,108,463,902,928,777,140,448,426,
756,953,051,608,412,378,405,038,290,127,838,040,569,987,558,714,128,717,195,
673,292,135,475,432,593,726,314,564,209,029,474,380,898,839,720,430,705,040,
741,452,643,804,452,645,530,307,946,167,234,337,631,334,435,811,459,378,738,
070,456,463,973,139,628,794,922,318,431,222,577,730,969,605,022,026,251,312,
929,348,004,116,487,152,871,625,880,465,660,168,737,562,977,844,901,757,659,
021,017,261,458,777,168,704,245,836,699,896,869,506,306,827,726,385,132,797,
251,276,196,357,890,124,175,283,091,531,960,615,065,839,167,692,420,583,311,
829,838,541,658,873,036,202,278,462,561,628,841,898,339,497,266,921,384,055,
297,176,074,623,428,142,907,606,757,433,710,953,965,505,850,928,706,737,503,
540,470,800,374,101,264,208,755,893,691,187,959,525,360,380,144,851,393,124,
764,099,528,911,889,714,047,725,327,386,264,634,257,404,026,078,749,225,523,
159,774,094,237,456,606,605,036,672,992,590,367,733,684,645,773,039,969,281,
579,322,704,945,884,305,907,841,553,744,548,816,722,688,270,523,517,049,511,
886,563,555,513,345,529,924,178,764,069,377,641,712,603,886,869,127,872,853,
885,061,167,101,702,012,827,224,190,598,013,676,910,054,522,895,239,798,602,
615,975,034,557,669,899,913,020,213,181,609,820,673,748,518,721,156,237,009,
155,407,400,317,017,682,693,416,607,004,599,632,439,986,698,392,359,451,147,
101,793,693,130,882,197,137,270,025,986,100,318,404,183,058,844,720,336,484,
812,725,348,981,209,844,139,446,317,628,131,827,207,294,497,274,935,988,310,
652,834,188,920,251,301,034,666,011,682,022,244,780,574,783,061,963,388,638,
914,401,619,714,633,264,988,040,721,237,482,565,033,171,037,654,943,025,745,
776,243,927,013,728,778,917,770,925,671,706,498,381,767,530,948,344,027,670,
773,798,586,255,039,315,077,888,058,717,519,188,586,112,373,579,204,477,961,
339,305,631,441,759,203,462,430,042,366,987,123,766,523,733,356,333,862,371,
100,350,138,170,569,538,277,172,658,203,960,312,465,929,847,244,773,502,514,
908,372,494,679,914,784,726,838,433,919,364,700,093,593,948,704,424,402,612,
088,257,907,255,445,117,698,538,687,804,779,487,460,456,192,807,223,942,520,
466,143,592,269,938,417,464,191,108,409,012,936,407,177,069,966,133,707,313,
124,854,470,233,023,723,543,699,010,310,393,963,642,699,368,217,427,296,282,
833,434,509,349,908,655,695,274,230,704,693,939,205,888,851,912,474,528,662,
259,325,656,593,526,871,021,495,793,932,022,951,971,742,110,837,227,196,713,
442,262,486,671,290,156,166,819,276,874,118,691,069,461,989,159,661,211,276,
543,497,208,646,387,769,380,519,208,721,218,944,562,195,568,709,024,446,818,
433,202,701,799,802,956,011,349,335,545,871,105,240,515,557,101,141,286,306,
735,061,093,135,501,772,498,832,003,775,985,107,989,116,321,669,841,890,746,
259,287,693,034,431,681,396,907,009,307,387,066,261,397,653,469,326,874,075,
816,310,341,110,021,789,621,878,392,811,463,918,648,330,289,302,957,051,888,
572,282,416,843,292,602,901,362,772,614,240,082,748,224,082,303,130,016,524,
469,766,072,531,207,850,034,232,992,433,996,542,681,594,588,853,657,922,238,
189,701,993,510,004,677,731,525,625,278,706,922,628,202,172,818,708,930,756,
185,516,375,212,080,445,768,334,319,957,801,563,171,528,487,166,561,726,740,
135,384,720,148,276,588,020,881,441,132,085,225,251,346,818,331,826,582,125,
534,647,684,770,795,175,092,459,332,838,046,453,820,129,928,416,838,638,993,
371,621,447,213,889,208,834,468,365,784,151,855,635,804,920,865,768,626,773,
556,694,578,913,564,410,393,270,977,300,091,079,001,359,969,234,712,359,877,
553,452,555,462,468,121,896,634,821,765,741,212,452,196,462,213,806,203,790,
691,953,722,006,467,783,785,148,786,683,665,102,013,714,713,002,722,495,097,
653,603,013,327,404,170,397,023,625,054,529,603,706,191,352,857,945,797,948,
949,498,106,446,679,530,860,070,846,783,196,419,029,556,759,489,206,113,559,
079,675,967,922,758,312,481,973,538,014,472,631,114,027,760,299,551,421,761,
304,429,040,919,619,602,183,495,705,872,686,349,368,932,962,406,685,132,781,
447,364,970,313,020,805,848,531,031,352,061,091,607,636,266,678,621,260,790,
067,361,041,846,848,718,675,381,966,224,197,082,158,425,531,799,640,856,133,
814,583,379,004,523,768,537,838,466,357,093,877,126,395,326,361,283,830,083,
447,650,449,953,540,726,302,816,068,853,198,160,261,441,280,686,584,753,773,
598,752,904,529,406,705,577,009,426,961,122,439,887,335,448,530,859,081,758,
240,694,428,131,505,657,478,675,704,263,139,966,847,553,909,991,875,614,194,
076,429,365,758,969,861,689,144,766,387,364,659,787,677,335,349,356,593,740,
789,946,411,125,752,823,237,923,609,129,848,075,601,415,144,182,389,116,449,
256,072,398,041,856,942,253,156,351,026,022,946,931,936,869,333,684,426,804,
660,015,983,205,071,961,983,391,281,187,231,745,100,773,094,051,865,350,675,
399,318,835,264,649,019,826,171,597,682,472,923,384,529,266,137,088,399,205,
270,282,697,042,241,397,939,884,565,330,101,124,739,850,493,107,303,394,548,
455,640,652,228,165,884,313,077,393,289,723,783,333,396,146,358,739,037,904,
989,809,878,205,571,555,905,447,802,025,432,463,690,675,482,829,004,518,991,
825,710,912,037,201,468,710,514,960,729,035,041,124,549,433,705,024,146,490,
805,929,082,227,291,023,979,952,363,991,262,753,300,344,306,561,168,435,755,
612,134,217,636,333,404,330,025,560,489,936,318,106,499,987,619,715,802,118,
419,746,772,426,931,389,177,702,051,299,730,549,563,668,180,108,535,809,588,
454,664,704,503,471,882,016,552,267,561,472,389,294,848,768,521,639,706,414,
539,013,348,023,956,649,898,698,632,034,720,502,884,667,041,020,087,789,812,
155,484,934,768,490,292,237,713,852,861,904,823,078,538,001,096,126,131,253,
727,599,985,880,667,689,547,939,276,798,763,753,306,687,178,708,077,588,424,
159,403,348,153,855,920,358,889,672,344,476,929,495,400,245,268,683,255,813,
018,439,483,214,453,543,513,919,870,993,697,014,822,503,173,850,262,004,909,
614,114,152,371,491,829,415,786,929,711,743,329,515,903,108,140,817,755,941,
341,788,051,170,842,590,135,564,777,054,041,596,181,656,129,555,388,286,368,
707,138,069,778,897,974,095,003,530,079,778,797,082,538,308,432,381,207,490,
885,853,343,262,731,368,724,612,846,479,603,663,350,705,567,338,875,809,856,
912,521,989,222,716,445,253,278,233,473,882,204,276,287,656,133,304,355,214,
532,729,413,492,421,434,845,300,779,317,433,464,976,428,881,084,579,201,239,
757,334,324,046,030,818,959,981,749,209,923,050,100,936,470,937,833,880,486,
529,834,335,483,147,701,371,391,724,174,407,944,530,793,417,746,256,220,412,
042,435,897,276,171,648,246,593,204,440,540,660,228,406,724,418,243,075,698,
990,939,287,464,691,570,114,601,347,113,123,303,145,174,384,886,121,336,698,
025,944,919,357,550,847,501,655,862,173,531,645,426,743,913,684,118,856,797,
423,365,395,351,565,681,536,033,029,180,557,651,549,916,766,655,247,631,087,
308,552,783,876,722,292,382,117,643,607,861,494,065,573,960,841,362,697,815,
846,037,851,131,466,341,932,763,128,883,756,836,991,904,979,288,335,299,417,
972,742,061,487,521,887,522,581,560,098,875,435,295,305,139,746,233,623,751,
417,247,734,221,012,140,259,316,768,637,104,673,847,817,572,791,710,180,602,
696,122,975,020,519,057,593,990,984,029,963,167,298,240,704,277,816,679,142,
744,721,972,764,969,425,039,344,731,907,909,970,762,974,055,689,157,296,163,
852,273,213,279,334,447,042,400,740,277,489,186,860,680,872,699,721,787,779,
381,613,737,277,684,913,264,833,365,441,777,972,384,320,212,302,896,803,959,
925,442,865,731,502,376,218,623,596,222,995,645,158,542,919,968,622,305,022,
669,220,376,528,844,371,389,777,987,973,106,274,874,725,374,126,336,431,394,
623,226,808,674,221,715,098,185,695,752,571,240,776,225,974,978,279,675,882,
179,547,414,603,363,212,415,820,378,206,668,765,090,334,544,350,178,602,108,
977,304,846,134,895,891,096,930,911,021,854,364,208,172,969,134,416,639,529,
865,673,786,585,333,609,215,368,397,755,681,473,408,592,408,924,681,339,187,
240,560,497,921,070,968,170,906,126,312,665,957,754,581,547,999,582,587,076,
739,698,349,745,009,039,292,312,053,004,126,889,466,119,135,778,907,622,156,
251,200,247,774,065,811,697,317,268,071,365,839,693,415,297,417,374,960,235,
027,845,566,105,222,369,507,878,555,482,921,985,697,398,118,860,604,037,639,
211,027,944,901,303,085,613,723,822,375,798,767,827,039,389,293,079,252,154,
235,255,240,442,337,953,698,763,622,998,744,623,702,418,133,868,206,958,751,
047,610,292,082,716,362,852,271,556,084,628,269,962,172,900,576,324,375,180,
802,847,123,595,468,042,669,654,770,946,134,751,341,548,977,217,647,189,003,
840,023,012,168,976,198,367,795,950,755,517,621,045,973,920,661,667,650,977,
328,358,066,087,062,699,754,312,171,263,272,470,961,026,923,444,607,935,377,
381,445,850,274,462,572,760,395,071,172,961,924,383,142,010,239,924,869,109,
909,259,275,362,157,284,869,755,714,408,333,538,020,924,164,988,894,645,342,
263,273,873,524,237,762,883,507,951,485,615,913,155,941,203,658,489,495,913,
037,712,964,735,597,746,467,133,613,537,670,685,670,331,198,195,754,448,502,
805,741,973,602,039,463,568,755,011,690,531,407,932,883,037,352,996,544,074,
507,184,159,836,882,675,212,707,749,390,244,394,519,053,601,268,223,028,700,
032,875,144,152,984,366,228,469,432,492,200,757,955,712,588,633,045,015,324,
493,919,726,055,607,510,973,464,311,955,746,826,059,819,375,253,321,561,553,
196,534,836,953,628,391,034,187,622,342,449,321,135,269,040,706,707,718,361,
876,511,309,635,097,473,958,549,833,330,899,158,288,439,728,076,735,913,991,
760,228,185,618,836,887,945,920,985,970,319,195,787,788,408,714,734,186,728,
358,434,641,481,649,642,968,893,795,987,230,727,125,967,160,216,236,004,991,
957,077,223,169,350,480,951,144,343,601,055,467,090,165,767,831,369,614,333,
804,141,219,066,096,881,491,477,405,022,078,754,233,461,100,420,173,486,410,
034,026,994,587,860,243,233,060,092,098,620,622,061,347,083,569,308,313,083,
718,839,566,393,491,511,997,261,509,591,712,096,562,363,814,693,394,325,854,
096,190,480,967,820,600,736,349,414,704,290,864,324,400,674,223,072,457,180,
907,100,452,720,388,371,057,469,360,643,852,639,661,155,926,167,300,127,448,
757,773,205,217,874,579,430,984,950,290,598,053,146,940,296,748,373,896,480,
969,179,015,477,491,113,289,487,095,477,848,812,955,000,309,259,824,084,865,
024,757,495,043,756,717,997,744,702,191,664,425,644,620,887,518,035,762,571,
477,025,130,077,262,035,681,952,133,172,181,607,865,734,570,951,355,028,629,
155,268,324,965,513,652,003,102,487,766,775,358,403,251,906,489,300,919,302,
706,217,563,212,522,440,602,874,357,797,663,717,807,262,862,668,034,707,549,
082,163,744,260,817,680,264,951,340,191,633,462,459,562,482,941,899,774,314,
081,361,942,537,365,916,697,382,037,246,315,378,010,171,756,961,615,220,579,
964,272,548,667,584,299,632,576,668,583,063,198,219,638,099,254,655,804,997,
647,505,957,551,227,789,651,594,009,058,116,129,787,309,329,850,027,170,871,
032,420,783,680,451,799,642,590,293,935,332,603,597,241,751,054,601,499,650,
215,406,885,747,940,434,065,096,602,345,493,296,778,548,579,931,701,712,668,
577,469,548,533,519,817,529,871,341,826,639,278,427,254,471,815,527,766,509,
480,919,392,734,985,164,128,881,311,237,394,071,979,025,977,031,570,638,505,
898,991,959,989,177,007,047,519,067,360,359,433,177,495,342,741,300,207,997,
301,266,185,283,915,963,845,845,295,213,209,679,192,408,227,264,066,533,306,
960,339,819,817,399,080,110,573,878,091,214,824,481,622,760,148,557,413,530,
438,109,490,278,732,842,459,705,417,313,028,714,989,858,700,569,255,427,218,
173,488,969,794,092,859,551,746,063,978,831,647,690,014,796,876,970,140,529,
867,126,716,703,175,607,178,223,873,078,547,359,056,838,442,752,166,891,886,
308,151,228,237,115,811,785,763,510,412,450,671,823,609,840,913,251,271,053,
833,347,608,571,706,496,828,893,329,088,444,553,268,740,591,327,541,989,879,
496,977,813,820,671,512,796,915,675,756,890,514,955,460,294,728,906,833,372,
588,410,005,552,024,189,908,267,874,594,139,749,501,611,468,524,175,347,667,
024,628,085,867,444,246,752,554,443,947,589,658,397,465,190,473,368,557,344,
106,028,747,350,527,145,062,021,655,047,247,422,545,885,867,108,197,531,864,
606,555,475,511,682,641,800,623,906,972,197,689,350,550,124,870,918,485,542,
118,130,351,195,261,332,921,540,712,860,821,553,846,454,938,991,106,397,758,
553,082,056,300,304,991,016,512,157,730,021,466,018,166,841,585,839,700,672,
712,068,555,391,795,851,542,874,942,226,955,696,974,701,747,259,168,138,772,
601,659,288,522,881,119,254,065,935,004,930,104,484,280,687,598,403,335,453,
868,769,278,546,072,398,190,204,832,090,522,207,706,459,293,588,836,386,351,
090,706,848,281,476,304,564,787,076,268,286,436,586,092,959,863,209,372,449,
806,618,480,806,349,729,878,202,258,260,096,152,526,408,451,743,940,988,089,
894,970,140,504,939,336,642,279,952,996,854,399,975,037,008,955,017,184,258,
635,856,614,936,335,820,644,971,344,601,847,077,406,966,439,681,112,054,032,
315,309,447,292,909,045,493,424,300,097,614,822,868,826,903,991,174,034,763,
162,549,438,270,599,121,824,564,602,982,491,505,019,871,980,308,567,247,230,
635,693,392,555,046,916,121,247,694,055,305,328,974,901,919,885,513,696,863,
430,219,850,280,510,015,893,303,238,926,167,138,458,036,078,944,224,383,934,
454,182,381,327,730,888,543,428,189,820,807,558,146,456,177,542,364,144,452,
732,610,967,026,115,417,991,151,215,653,071,307,827,175,110,362,444,237,234,
605,510,603,088,267,942,681,406,058,604,940,191,405,947,486,126,306,766,385,
354,330,721,250,846,858,277,234,885,379,560,538,373,254,040,807,627,616,827,
162,746,537,881,972,315,300,668,510,994,351,822,957,852,389,856,075,855,982,
379,625,159,747,806,657,706,676,253,739,937,310,401,923,819,740,812,029,913,
689,017,524,079,023,110,915,277,586,181,327,888,944,935,298,379,210,633,122,
844,252,961,166,825,780,671,594,852,545,168,661,972,326,928,578,691,036,741,
402,413,365,131,737,023,072,513,726,713,859,944,915,453,597,173,888,670,792,
504,293,362,803,617,407,436,159,230,992,195,985,947,546,026,040,685,908,986,
606,504,792,666,863,118,568,595,717,006,644,163,900,657,871,684,099,720,043,
603,007,159,781,233,888,847,177,324,793,559,848,979,241,465,765,554,109,108,
029,417,706,494,123,426,734,958,147,614,119,825,227,720,137,236,904,457,567,
153,670,428,503,330,792,190,722,847,658,014,607,846,119,689,303,203,777,418,
537,144,991,493,711,292,637,227,165,844,428,782,581,222,350,065,616,651,104,
576,763,224,308,894,377,693,431,222,443,783,258,607,142,117,577,678,898,892,
911,673,586,745,978,979,593,730,502,423,706,067,780,416,082,336,994,885,507,
397,444,045,712,810,235,858,814,525,614,621,244,248,053,740,717,823,045,137,
983,410,762,204,603,576,277,023,645,704,674,947,871,315,371,333,276,975,205,
950,718,181,702,919,430,812,250,938,886,394,234,476,553,912,282,482,920,589,
446,486,170,665,052,191,994,840,816,476,762,840,968,812,271,080,714,366,405,
619,575,073,635,220,367,131,003,742,441,835,694,100,859,124,489,841,829,851,
193,824,639,052,183,573,780,282,139,175,476,948,320,088,618,820,992,654,658,
204,095,453,142,571,963,140,243,809,864,743,554,886,905,730,711,884,853,328,
157,907,265,819,450,372,625,377,519,994,872,214,193,228,445,387,607,356,593,
646,409,520,181,535,748,283,832,347,722,647,018,382,010,611,276,421,142,723,
866,804,748,697,964,053,570,027,502,036,034,625,613,190,606,805,036,943,272,
405,589,740,808,072,857,611,943,479,309,029,934,978,197,255,697,740,000,630,
143,586,049,331,142,523,943,906,875,194,673,087,243,105,594,262,770,300,031,
326,581,354,807,886,357,233,515,601,477,347,523,639,085,093,426,079,271,406,
350,089,481,696,275,859,279,848,587,812,687,294,915,189,916,525,341,758,270,
935,883,144,165,512,805,599,951,638,299,010,534,967,051,949,340,273,337,115,
580,673,528,921,739,156,036,394,888,467,070,304,065,741,899,607,046,084,672,
303,941,432,556,892,104,962,694,898,623,497,249,706,127,329,572,503,915,614,
984,829,144,855,974,867,988,470,758,775,613,045,485,873,384,300,377,831,940,
061,097,208,196,254,656,782,685,578,628,680,859,580,492,385,076,554,781,665,
016,803,671,189,326,734,910,337,006,438,322,319,845,039,642,092,010,869,086,
172,790,518,590,125,083,184,188,537,188,690,923,156,210,710,031,986,245,554,
161,324,137,563,902,160,606,659,627,222,764,156,469,151,763,897,788,511,300,
214,920,511,984,575,301,560,419,310,158,226,414,586,383,888,492,036,666,902,
287,936,908,648,612,681,273,113,478,201,961,101,320,749,905,339,469,524,491,
272,118,504,735,706,811,398,335,785,414,767,600,050,570,835,916,925,963,713,
263,268,308,877,285,902,169,160,821,901,314,285,411,821,142,010,157,299,231,
227,609,465,477,520,138,210,966,459,009,931,213,831,987,489,416,188,520,261,
152,443,065,715,929,343,934,757,785,747,652,430,793,106,868,611,777,260,339,
850,442,643,594,738,504,436,527,791,711,826,060,684,110,410,731,041,836,832,
430,230,613,860,059,999,197,682,048,715,228,018,266,840,474,590,082,163,305,
206,945,186,338,328,830,947,872,531,782,904,284,206,003,696,673,323,660,388,
699,747,244,658,049,333,016,932,178,112,352,576,288,048,473,004,959,260,248,
212,543,088,150,284,985,023,468,660,312,265,246,023,636,078,453,343,584,617,
444,303,439,438,571,545,263,943,989,302,750,716,531,346,979,457,045,525,011,
609,840,310,698,857,692,692,793,625,471,378,887,818,340,770,607,123,525,575,
233,893,435,854,008,971,121,436,956,871,780,292,697,080,666,130,302,912,205,
479,580,243,181,625,005,718,517,124,454,233,670,155,607,016,042,043,865,496,
493,956,670,231,039,513,963,672,319,679,515,307,705,026,519,217,986,918,356,
290,023,886,057,906,266,937,649,593,623,075,483,446,871,328,851,365,480,970,
408,086,779,080,543,550,398,234,948,600,147,393,592,684,344,073,929,162,075,
090,692,659,640,124,128,024,056,289,883,094,793,245,481,027,551,991,911,741,
917,866,194,155,675,771,750,302,426,766,680,143,053,659,240,560,319,610,719,
864,045,215,933,793,840,393,966,832,482,518,278,171,292,711,311,884,679,874,
862,316,870,584,426,673,626,316,449,250,689,577,686,518,512,192,254,777,792,
357,567,137,172,478,659,196,888,530,640,103,876,481,752,214,427,868,278,813,
381,151,760,712,928,064,704,155,818,684,531,347,470,584,995,128,612,059,497,
177,970,653,838,552,614,183,452,145,653,851,221,771,514,320,546,788,960,324,
237,200,205,549,697,812,524,966,977,966,588,086,284,766,037,915,364,024,308,
630,717,413,950,190,184,778,841,097,119,646,627,662,622,146,731,815,246,388,
205,277,454,870,373,108,020,532,788,100,168,534,876,258,384,827,745,168,523,
918,352,674,835,982,919,496,008,593,750,483,156,901,924,489,301,362,064,270,
139,202,331,845,826,564,152,190,954,786,903,157,599,543,721,346,917,711,759,
150,900,459,715,323,040,219,809,485,614,316,286,717,492,390,037,454,851,613,
195,493,865,146,651,564,114,894,612,370,825,403,757,196,357,886,723,211,158,
971,850,314,153,828,671,661,994,563,497,516,605,556,856,989,365,116,143,998,
027,215,486,716,964,965,447,279,174,971,779,040,925,737,531,685,282,776,037,
005,360,693,188,152,816,376,072,793,150,410,666,031,556,389,949,810,920,941,
196,572,458,827,463,572,164,775,769,976,598,316,496,911,601,468,047,309,262,
577,399,206,129,938,641,253,335,586,878,771,633,471,566,448,041,466,986,745,
329,514,708,292,030,169,436,336,248,514,803,857,732,668,911,740,578,773,628,
935,760,527,847,273,813,448,118,627,698,217,417,903,753,821,950,751,155,178,
552,073,034,774,072,831,368,048,984,874,107,180,591,855,740,475,868,563,056,
099,912,720,475,658,853,302,776,803,342,643,444,273,467,792,655,132,966,345,
064,520,441,433,156,767,252,355,261,311,303,242,946,988,913,240,154,684,095,
484,873,270,201,396,520,247,620,680,950,045,035,764,212,351,886,247,200,298,
820,003,914,797,348,904,957,872,135,704,808,720,860,193,040,939,498,688,392,
347,224,556,386,080,646,118,659,875,562,583,140,257,282,245,144,924,120,924,
482,121,940,856,231,738,502,749,408,863,623,397,880,616,561,254,184,659,901,
652,594,495,502,990,725,720,633,338,027,260,674,832,582,749,040,738,874,504,
595,893,704,440,969,722,498,288,619,621,494,380,504,425,067,708,995,233,027,
286,800,657,754,822,128,558,153,648,075,000,542,239,457,828,402,723,214,616,
805,665,043,855,351,728,577,868,219,476,778,621,451,441,738,679,367,809,235,
941,512,767,908,793,977,021,630,650,087,616,729,508,546,018,607,136,719,765,
050,408,942,265,743,480,129,451,896,867,385,687,977,880,846,324,042,767,392,
689,061,675,080,108,809,502,845,466,963,563,676,151,963,470,759,241,930,801,
468,397,572,711,034,302,236,861,822,882,033,681,119,872,642,780,841,507,323,
044,189,005,176,902,060,385,336,895,948,889,273,101,290,124,713,940,181,711,
860,085,497,596,103,106,958,410,178,463,693,107,931,325,587,431,763,529,617,
599,470,678,666,062,691,327,566,066,862,638,081,784,253,396,678,034,118,470,
661,743,195,420,207,924,597,159,924,453,300,993,793,028,666,748,012,841,290,
327,700,387,702,276,817,638,795,349,730,158,168,706,812,030,271,682,335,431,
005,753,829,000,911,524,990,300,677,349,407,143,237,323,218,334,609,877,463,
016,534,057,658,847,718,390,390,894,412,135,348,029,315,172,606,965,664,769,
478,074,733,729,118,704,476,893,414,994,970,525,737,978,391,817,300,928,075,
809,080,694,188,781,998,146,950,399,972,036,822,114,874,114,766,076,040,210,
633,198,816,106,767,003,781,470,707,386,726,002,824,888,395,341,508,585,254,
110,739,328,715,813,395,309,266,701,350,654,174,197,086,590,670,645,150,174,
546,230,299,387,423,359,983,497,706,413,448,819,538,708,094,973,040,739,906,
077,054,616,472,620,519,469,819,543,095,487,540,161,390,892,598,279,406,063,
494,469,264,439,783,745,157,868,306,922,553,768,018,397,735,839,616,034,067,
393,793,882,702,906,367,519,735,634,204,513,542,814,235,216,735,142,487,739,
887,639,923,469,860,987,936,647,747,805,079,924,907,872,972,503,859,023,140,
671,666,264,731,144,541,532,488,621,376,483,807,824,036,034,421,539,021,280,
563,079,223,660,100,217,792,625,358,206,782,151,577,298,791,330,668,079,843,
929,630,639,317,428,861,547,774,906,114,535,982,906,796,526,730,353,960,868,
856,734,604,865,791,473,062,071,866,887,536,301,573,286,256,401,215,170,355,
342,300,753,782,087,698,783,345,746,730,406,938,767,115,610,365,778,583,155,
360,708,011,146,827,384,165,112,345,763,107,275,737,993,666,372,820,648,700,
450,441,850,764,786,448,939,078,153,647,954,456,275,235,519,359,881,610,692,
984,128,895,700,740,566,054,803,836,088,294,580,997,956,673,950,916,732,749,
906,957,599,741,824,450,362,527,858,306,030,670,877,725,840,558,562,055,187,
779,186,454,488,471,440,790,447,536,930,270,670,018,560,715,924,104,189,939,
725,155,332,525,969,639,244,326,833,900,232,451,330,230,879,509,326,953,464,
691,124,381,531,939,516,710,429,189,448,676,790,536,376,938,228,983,468,782,
473,479,010,457,239,234,220,764,457,031,168,474,448,659,387,534,448,641,214,
892,606,877,140,342,561,586,210,627,315,350,873,143,881,689,441,447,397,310,
980,435,071,765,411,338,957,875,711,602,854,882,782,692,213,498,585,825,541,
572,002,485,551,366,860,077,290,324,128,003,466,128,141,551,221,412,140,958,
988,760,410,721,993,422,501,504,585,511,211,309,705,304,476,434,389,955,394,
341,506,146,675,647,213,767,903,515,693,310,251,539,126,234,175,813,438,184,
412,241,636,448,182,240,754,218,187,531,147,700,200,590,295,040,313,603,890,
284,738,327,959,982,079,419,690,449,225,762,384,088,663,687,829,300,407,129,
321,552,647,137,429,784,506,852,069,364,472,116,484,471,117,644,642,835,308,
309,423,003,811,264,340,013,151,220,668,580,182,008,606,906,071,606,208,928,
097,710,621,185,195,919,899,552,453,247,785,725,897,212,782,123,290,142,795,
545,856,797,124,118,129,261,447,139,806,052,761,464,369,407,505,175,086,327,
585,942,440,527,239,746,236,249,724,843,658,758,019,817,061,865,511,249,935,
279,455,711,126,648,046,143,385,738,290,771,534,333,545,984,451,141,703,130,
925,939,821,096,986,825,323,339,314,453,388,435,375,990,254,787,908,887,587,
570,289,118,497,716,275,788,540,045,709,224,255,346,000,387,782,371,347,345,
685,359,732,793,681,185,078,965,472,672,104,710,242,248,924,980,854,582,933,
532,952,287,497,763,520,859,693,310,786,061,563,054,332,391,716,256,954,669,
343,607,026,496,300,348,778,938,968,240,956,552,311,513,152,156,763,705,795,
845,874,348,692,081,718,593,809,207,680,737,075,051,431,025,246,592,490,228,
807,022,983,191,946,229,035,033,247,872,301,099,746,376,334,459,883,908,903,
020,377,647,524,040,817,038,168,245,459,369,799,840,532,220,470,582,824,904,
916,388,077,282,181,261,702,232,789,779,898,595,530,894,146,778,865,382,045,
628,998,861,322,576,415,119,163,521,911,420,837,030,571,268,042,621,856,496,
030,070,602,023,629,308,821,647,899,568,331,277,290,615,346,441,758,272,791,
767,470,609,569,273,516,606,469,644,485,052,499,364,174,501,164,327,203,183,
344,186,093,214,827,585,783,780,468,452,042,856,385,644,760,918,684,990,232,
418,840,054,372,478,831,854,968,792,781,878,975,704,438,378,321,092,954,214,
683,671,220,451,923,133,326,914,409,702,273,264,446,729,136,672,967,933,107,
944,076,593,597,984,508,677,511,834,602,343,375,026,893,951,431,358,568,381,
513,858,202,104,251,682,392,034,591,399,263,190,644,240,226,692,820,729,992,
040,797,117,908,179,681,485,386,099,098,837,809,097,608,550,976,305,906,010,
199,384,669,824,041,306,622,463,423,219,117,076,792,466,166,806,582,883,661,
123,732,728,161,035,865,937,854,116,693,340,314,811,529,444,126,477,453,758,
111,400,844,175,186,390,422,232,661,509,755,773,376,042,047,097,635,305,992,
389,572,954,544,029,934,613,462,085,603,821,247,708,556,970,544,974,233,082,
801,210,764,796,122,016,053,454,014,990,615,089,537,923,054,837,318,888,931,
226,900,267,690,479,976,451,453,055,037,187,211,240,948,846,058,583,264,255,
108,866,370,761,956,805,942,230,411,024,301,867,263,451,648,847,949,513,910,
093,529,123,145,033,985,872,844,273,802,916,222,643,209,836,231,144,582,314,
408,442,044,853,767,665,787,908,488,091,814,054,723,950,110,636,461,925,286,
069,521,344,469,246,558,748,296,844,611,254,619,163,938,602,591,154,642,898,
079,551,409,787,318,925,115,000,456,074,163,919,921,722,812,615,461,838,240,
227,248,606,876,914,034,563,095,299,629,338,200,577,370,882,102,442,336,668,
129,579,781,646,864,293,312,480,386,766,052,837,100,804,356,554,663,646,347,
742,364,189,113,575,500,600,038,060,360,835,026,663,615,247,999,056,026,377,
423,217,135,015,089,067,356,824,890,261,354,493,112,927,094,014,817,782,615,
891,443,741,465,373,268,125,668,327,112,549,197,259,211,996,867,878,962,088,
750,907,908,006,347,733,238,980,954,042,779,861,175,903,247,552,652,189,124,
284,581,142,506,720,983,778,485,948,711,278,895,158,185,768,861,283,084,474,
720,442,276,092,890,883,410,108,861,016,172,166,353,507,486,399,703,402,882,
709,851,991,061,555,312,072,763,377,787,093,607,456,805,024,770,162,271,439,
818,670,433,916,094,756,419,887,811,303,502,957,412,453,568,681,316,382,563,
842,862,884,689,187,764,974,539,794,780,919,870,585,041,188,533,523,854,381,
953,566,893,360,837,343,244,295,017,018,070,665,780,144,302,000,770,534,303,
979,880,737,563,136,387,206,383,830,446,561,672,671,445,092,671,524,434,074,
389,870,004,937,701,425,635,209,821,407,910,510,310,488,629,478,957,241,740,
944,969,729,159,502,291,625,927,491,197,574,629,381,612,243,449,138,512,471,
477,414,992,233,716,113,302,907,739,360,866,687,313,390,778,246,547,835,445,
215,629,551,280,111,112,533,018,739,329,054,160,539,490,233,584,792,262,106,
904,060,016,572,547,700,091,338,081,901,511,920,742,877,093,745,536,221,254,
087,109,164,220,436,665,663,805,250,724,999,028,222,856,637,135,025,111,930,
912,188,210,965,286,704,160,345,459,124,987,481,603,758,935,551,190,487,756,
091,694,066,228,258,477,610,946,933,863,831,575,401,351,555,353,070,232,025,
259,110,188,152,699,912,782,679,865,176,597,051,082,764,264,387,650,618,541,
838,872,475,569,003,514,364,135,346,496,238,323,839,638,738,310,981,827,525,
932,960,087,191,968,955,475,775,670,878,679,006,146,600,896,121,424,285,519,
639,367,079,586,285,618,898,153,695,774,201,898,704,136,487,353,873,246,937,
630,574,660,675,362,098,619,283,027,249,439,580,553,346,739,685,471,879,494,
950,830,340,771,014,739,339,546,119,078,821,487,946,500,025,723,823,136,807,
634,341,324,825,135,923,488,640,527,127,159,511,703,571,171,993,596,115,211,
841,344,265,658,391,288,598,549,761,451,831,142,294,999,797,853,358,996,837,
849,903,907,974,432,863,761,213,203,658,973,679,674,797,207,355,631,713,101,
164,717,087,176,055,274,979,815,133,454,794,435,211,334,198,758,882,311,424,
117,463,963,398,321,402,179,598,857,866,009,338,604,428,360,404,594,175,709,
810,758,131,867,356,730,332,761,667,831,862,228,353,359,895,205,165,618,122,
949,872,861,362,136,793,175,948,902,811,074,933,704,802,539,004,968,883,032,
788,065,708,382,011,080,689,672,246,138,346,362,124,632,691,617,564,602,770,
893,815,108,197,549,986,884,322,887,836,584,413,542,550,842,372,213,738,924,
083,177,072,029,371,021,601,410,072,978,737,222,443,446,248,804,097,141,283,
955,212,480,712,464,841,017,148,878,332,660,440,422,159,541,136,938,411,235,
172,450,450,798,564,024,487,231,136,399,309,380,676,510,946,662,057,260,464,
623,983,041,403,887,277,799,875,331,006,528,025,524,270,560,433,968,122,837,
868,690,961,841,035,572,108,157,376,626,187,922,096,067,708,301,417,009,862,
358,806,755,810,648,708,598,133,558,368,079,042,916,765,725,196,884,213,259,
757,778,041,904,094,781,996,109,963,168,578,343,198,599,045,984,384,059,845,
233,596,519,906,596,885,155,469,783,732,944,479,774,482,658,175,697,929,316,
969,793,873,279,867,452,427,043,007,672,901,847,893,953,248,145,273,159,069,
772,212,418,463,857,690,993,618,690,604,623,533,308,659,331,254,023,767,163,
089,418,112,568,756,170,144,458,409,867,501,665,362,933,963,589,881,893,200,
785,295,837,734,027,666,451,272,155,968,378,556,151,074,742,377,736,202,565,
096,225,667,797,199,440,770,587,013,073,978,427,455,921,677,425,641,811,725,
271,034,973,896,124,861,475,423,388,581,590,433,767,472,664,002,063,047,355,
305,636,517,511,914,142,346,566,271,600,129,302,253,928,171,097,785,620,642,
160,858,863,984,589,411,471,155,333,336,093,973,960,211,888,055,845,137,718,
321,441,414,463,284,749,263,403,384,633,614,312,329,303,310,440,774,166,755,
964,880,204,059,470,197,333,951,151,217,170,888,966,684,753,562,667,593,130,
612,228,716,227,047,015,837,812,583,431,710,335,226,797,209,334,419,591,665,
477,425,887,545,990,119,280,910,808,684,369,113,752,736,083,641,468,044,926,
452,292,095,065,360,644,300,328,153,753,986,493,011,630,389,141,956,558,596,
343,668,178,265,859,483,243,822,269,730,778,119,649,019,648,769,597,170,951,
370,056,552,909,868,624,692,414,911,638,400,953,281,053,563,365,053,716,436,
973,614,402,253,641,657,185,118,804,479,134,752,626,430,225,178,309,747,355,
916,420,913,147,413,753,842,665,075,884,759,584,130,875,667,397,291,695,441,
933,859,347,660,253,048,713,905,426,349,878,751,707,564,824,190,505,805,512,
477,106,881,148,304,178,468,526,897,102,683,616,823,004,192,866,859,138,251,
313,771,989,012,767,066,318,609,267,968,055,897,906,349,286,781,138,822,184,
385,422,875,029,557,398,412,992,527,138,756,281,609,663,443,618,707,987,355,
269,788,139,525,994,602,460,451,169,520,750,512,766,559,595,373,191,547,690,
299,799,944,235,976,335,426,932,375,935,343,682,990,658,738,195,461,734,713,
132,626,540,007,656,385,689,865,259,487,512,651,665,456,878,397,139,828,834,
231,997,275,286,690,449,976,374,933,653,751,332,861,065,633,616,447,519,526,
554,047,114,707,410,381,439,074,914,529,013,266,327,808,398,432,659,490,825,
798,589,147,588,658,276,489,710,106,316,630,215,404,384,725,044,475,035,743,
040,725,012,931,660,565,129,581,504,607,836,339,213,155,058,772,686,157,977,
296,296,477,779,182,255,909,673,521,296,189,253,480,989,065,096,699,255,755,
343,165,081,004,718,433,790,709,532,572,567,853,897,554,375,268,949,010,814,
996,459,529,704,394,678,573,308,703,905,039,947,259,073,034,793,111,212,850,
325,088,325,286,668,763,391,223,815,182,026,876,410,049,973,949,307,852,712,
956,668,778,436,357,438,790,059,641,068,049,716,650,481,393,681,264,234,368,
348,103,069,429,901,987,512,453,878,371,889,346,169,789,361,431,974,087,688,
287,413,347,585,534,954,416,925,007,371,113,704,503,399,514,945,014,064,593,
827,209,456,051,459,966,541,053,309,763,878,436,025,417,019,847,537,678,632,
692,310,935,721,258,283,394,842,909,671,774,351,456,534,487,901,786,343,514,
895,191,155,397,373,362,988,090,424,048,131,207,547,511,877,879,603,781,043,
570,886,905,164,497,430,101,101,339,628,002,738,721,425,375,072,406,013,462,
704,461,112,199,946,598,475,351,330,906,273,494,862,343,460,018,541,437,849,
646,137,596,916,901,121,266,203,873,761,046,757,165,624,188,795,235,279,413,
734,496,275,059,665,102,340,598,801,906,519,576,169,494,104,392,039,259,654,
044,517,064,566,054,512,076,864,956,066,232,832,564,328,953,184,059,406,210,
530,474,208,683,607,168,734,207,975,080,197,024,842,611,170,984,147,411,002,
807,210,818,765,845,958,305,303,315,979,153,785,507,376,796,850,120,171,765,
347,050,246,290,269,847,442,172,412,985,931,136,283,665,310,086,503,746,871,
543,935,053,265,020,929,751,589,731,509,395,904,291,636,231,956,462,023,091,
852,145,246,723,402,430,274,354,881,226,932,535,409,973,990,598,045,202,091,
548,725,034,994,422,329,339,193,366,008,613,905,323,723,954,861,579,740,672,
608,792,200,902,612,827,767,721,902,047,150,152,666,957,184,195,480,452,654,
573,692,147,902,267,819,535,124,822,254,686,736,110,517,910,396,119,799,683,
433,073,275,239,415,429,506,735,823,959,180,639,322,584,941,498,754,506,528,
865,921,375,743,645,670,954,716,218,205,026,201,252,118,345,949,675,298,364,
723,726,742,268,086,036,818,202,787,274,419,240,463,277,679,004,151,563,172,
641,154,683,004,017,931,211,758,630,479,626,511,247,441,704,425,205,658,165,
736,779,610,881,293,481,081,054,495,288,022,455,707,992,263,175,721,496,948,
129,394,591,685,867,610,072,211,165,863,668,872,742,241,513,443,616,908,051,
464,239,966,898,985,592,216,653,649,641,932,157,408,372,551,589,287,518,332,
508,876,637,703,228,022,752,409,351,060,986,831,613,721,213,125,132,524,938,
420,127,054,465,968,506,297,814,868,430,707,607,364,343,784,524,360,764,795,
771,874,415,206,627,197,025,349,885,506,987,726,485,819,877,510,732,295,232,
944,013,965,146,053,964,317,352,313,346,815,973,336,802,233,065,652,472,014,
362,117,697,494,895,052,756,592,718,294,668,910,567,901,139,148,525,328,526,
290,463,656,094,263,858,151,100,013,183,489,098,899,960,810,118,978,676,739,
597,666,655,278,114,696,195,070,943,442,031,704,009,764,254,646,211,860,053,
712,686,046,470,203,090,935,507,157,455,302,707,253,670,220,286,267,970,843,
959,893,874,798,451,486,295,632,976,426,766,417,494,332,393,476,416,859,210,
754,524,223,935,802,824,782,319,807,758,011,090,525,310,358,711,260,631,025,
497,651,579,100,483,964,108,421,029,133,613,891,102,941,229,679,164,415,319,
321,026,517,387,602,736,669,540,618,946,079,012,031,477,116,053,027,032,567,
565,410,498,848,136,293,927,101,980,414,734,368,612,708,539,267,353,854,324,
583,030,614,986,009,699,427,499,138,231,615,053,247,403,965,959,746,546,681,
307,285,260,498,035,215,159,508,525,126,098,618,564,407,846,912,580,989,437,
823,920,973,906,769,606,750,888,509,937,922,388,467,970,302,339,419,628,989,
235,624,301,984,963,066,174,708,908,162,182,027,250,586,112,723,738,258,943,
679,897,803,648,460,574,779,477,863,844,833,780,186,593,490,521,302,530,798,
550,183,157,553,319,156,213,863,711,722,774,500,786,095,859,914,665,975,604,
986,212,952,667,249,328,003,290,578,423,536,333,622,078,431,396,438,760,428,
613,694,435,792,089,804,553,550,171,232,341,594,027,748,403,788,547,259,840,
544,303,191,362,679,667,077,872,977,722,733,435,500,665,781,860,970,687,234,
086,447,758,715,938,475,781,739,561,235,536,283,662,142,605,829,672,787,225,
226,289,331,830,620,263,863,557,617,434,091,144,040,284,534,792,366,895,161,
873,795,762,113,807,530,352,056,870,224,280,933,922,941,971,239,929,938,196,
500,989,770,796,487,885,732,209,895,435,919,101,756,943,971,973,340,832,506,
223,988,819,653,070,620,631,072,195,547,473,778,965,859,520,141,011,792,877,
134,866,318,077,711,658,960,445,063,217,909,055,709,762,724,487,950,448,925,
350,707,399,939,240,557,333,599,506,563,352,681,656,366,100,885,393,137,619,
776,572,854,075,860,244,559,294,376,090,191,452,501,349,616,523,614,912,522,
621,971,662,515,125,397,281,283,530,867,455,699,495,638,171,379,795,086,644,
428,540,856,428,790,013,457,274,400,950,048,067,629,003,424,283,922,920,165,
723,328,178,227,367,844,935,799,448,104,551,589,630,449,045,372,555,707,674,
593,172,884,217,889,319,003,812,555,636,290,762,709,249,614,447,255,169,676,
022,195,950,532,826,753,721,327,005,984,125,444,005,118,451,024,167,177,562,
715,853,697,123,230,084,501,168,571,392,911,619,672,371,409,359,228,221,763,
972,294,477,556,058,856,924,607,676,630,466,254,013,862,671,047,538,144,401,
803,874,244,686,007,752,108,641,558,938,928,783,659,419,652,511,387,703,000,
547,143,312,890,905,990,423,873,255,607,206,595,392,676,434,497,129,450,900,
945,358,143,313,534,969,213,071,405,072,450,642,267,902,579,148,876,141,089,
070,136,269,818,538,358,346,049,800,022,143,564,486,475,759,337,918,113,538,
914,642,096,490,136,840,361,278,602,711,470,911,789,651,288,383,914,998,399,
767,031,978,475,989,134,422,518,073,307,269,793,039,575,325,523,095,753,320,
476,834,597,602,703,746,142,182,819,256,113,340,160,822,604,500,643,893,248,
625,270,516,746,611,756,650,017,210,692,166,481,983,887,623,119,766,837,901,
199,441,127,042,417,331,708,226,280,613,245,007,345,631,202,267,875,858,854,
806,009,455,912,517,841,841,485,418,588,131,253,727,410,554,497,696,843,236,
216,381,081,832,526,247,616,856,539,857,107,242,220,464,844,749,883,510,042,
902,628,150,205,087,815,011,534,083,391,707,873,613,171,912,585,717,453,145,
517,474,152,735,867,532,829,452,126,712,075,643,458,611,021,251,176,102,685,
302,652,150,621,997,493,384,364,565,456,984,082,329,759,734,167,098,813,170,
356,616,050,682,637,155,737,197,852,286,641,457,370,063,283,409,380,725,395,
678,659,924,699,458,861,016,354,115,507,272,101,625,948,857,797,961,583,085,
065,734,052,252,712,160,813,388,927,303,725,412,929,877,739,169,194,493,730,
802,789,960,910,534,655,800,926,026,701,161,905,176,757,021,473,880,610,801,
949,305,886,441,879,049,853,560,639,197,187,152,017,031,441,864,650,087,399,
382,037,203,443,004,033,932,606,766,571,484,612,685,680,124,893,311,523,587,
975,719,780,510,635,758,620,622,475,921,357,443,015,371,039,721,711,197,561,
940,144,381,697,322,380,197,921,952,429,863,541,173,079,911,075,433,292,766,
853,319,567,624,962,934,319,290,524,046,656,986,223,174,987,495,258,120,511,
879,782,873,591,107,236,175,727,489,267,333,774,526,021,237,315,986,984,661,
418,190,014,537,410,441,523,954,022,577,797,972,058,451,791,909,173,273,534,
257,396,834,486,080,808,485,986,246,774,581,987,855,222,691,427,932,119,266,
079,898,302,656,375,534,786,446,117,937,197,335,904,516,091,885,999,740,649,
440,917,123,260,016,252,415,684,868,519,367,337,907,916,088,664,664,454,524,
748,495,399,331,434,462,502,916,189,576,515,086,720,494,521,503,893,921,184,
751,553,943,899,689,657,070,891,983,712,992,705,452,241,010,111,292,220,289,
109,852,686,981,441,212,196,108,446,927,209,657,530,692,374,447,926,927,835,
777,951,715,827,361,616,287,477,226,309,080,335,937,735,214,384,389,671,038,
963,770,230,481,712,891,480,040,176,551,689,367,192,234,909,516,209,254,271,
369,472,954,855,042,159,606,518,087,696,030,102,492,642,795,860,681,874,603,
686,830,809,060,798,192,886,645,151,772,503,621,117,976,321,279,943,041,873,
721,220,759,940,712,751,344,089,036,052,632,130,914,903,392,097,532,846,943,
765,129,487,697,349,290,562,763,516,689,143,127,185,428,779,877,009,186,835,
770,485,899,243,650,058,930,132,356,200,322,730,952,286,763,345,615,120,136,
025,702,216,955,551,215,449,484,479,438,724,678,779,444,467,690,689,267,097,
318,254,742,046,636,235,131,225,283,287,632,171,194,528,544,394,162,527,296,
733,292,758,302,862,963,910,228,219,226,686,120,310,158,491,482,042,086,139,
030,121,719,925,655,818,102,413,331,097,024,531,801,283,530,697,242,432,037,
117,333,977,202,658,081,818,465,487,230,621,081,330,777,901,742,460,064,474,
941,557,531,544,743,363,366,682,016,288,799,650,233,360,157,763,610,711,496,
622,567,657,860,969,723,304,668,124,975,638,216,981,459,285,311,656,100,206,
328,452,121,455,584,846,253,198,952,834,785,809,022,492,421,359,297,767,571,
576,922,611,566,423,772,155,962,048,320,671,045,713,285,200,039,315,871,189,
049,714,133,590,850,845,976,122,680,679,162,028,623,203,517,099,052,802,986,
599,413,916,794,071,763,021,358,007,681,497,907,387,071,205,268,925,154,291,
894,788,516,984,136,571,815,039,440,615,791,922,981,314,278,526,047,761,383,
883,874,054,889,815,908,549,958,142,944,129,406,449,692,780,976,584,968,968,
352,323,550,863,760,569,664,454,144,960,421,359,980,920,428,942,770,066,040,
477,239,072,337,027,992,999,143,595,280,894,963,093,972,833,474,222,001,375,
331,986,978,461,782,863,205,771,192,942,798,250,289,595,754,827,433,237,450,
343,520,399,180,539,458,352,493,482,989,378,440,472,473,386,158,482,746,684,
598,287,745,428,580,775,393,997,451,312,187,987,867,710,006,717,080,795,023,
954,743,331,056,756,929,947,137,655,295,620,615,129,055,815,484,978,795,243,
437,119,356,282,381,744,949,133,244,589,952,456,837,079,966,822,058,265,377,
911,831,725,578,111,731,353,195,586,059,162,618,204,385,474,031,440,837,097,
155,721,688,516,054,011,175,823,232,306,744,305,214,707,603,278,735,116,599,
014,636,587,972,429,567,380,590,579,920,513,929,716,653,878,414,024,849,416,
106,668,271,279,808,170,123,273,096,425,132,874,658,878,004,590,616,945,087,
737,013,354,607,167,625,849,740,778,678,595,565,797,354,431,501,096,329,280,
856,871,463,787,524,742,052,300,183,859,963,886,695,309,326,577,542,507,900,
094,535,092,932,755,443,797,639,232,697,620,350,325,528,381,092,941,375,211,
626,562,906,462,910,259,937,589,964,894,587,462,530,412,819,879,857,301,493,
417,610,730,781,690,851,172,595,223,271,390,426,875,931,788,019,088,228,610,
417,233,929,759,335,845,968,621,992,546,782,633,793,806,775,726,626,696,046,
743,401,809,495,149,935,359,695,880,663,754,406,264,412,765,625,501,816,287,
138,699,743,240,721,883,156,313,831,864,477,361,550,544,895,410,483,604,753,
752,519,551,452,273,132,812,086,083,894,798,598,111,957,546,874,091,235,091,
148,452,758,655,464,940,599,429,853,684,699,088,464,443,710,817,550,028,680,
823,217,422,229,336,917,077,813,189,904,754,679,805,349,185,846,607,649,194,
595,194,252,683,924,539,334,638,123,488,364,317,203,782,341,160,919,938,646,
132,225,560,215,639,849,145,589,517,070,578,881,687,142,498,049,594,203,763,
007,193,830,677,020,054,498,115,972,664,002,831,556,535,221,068,281,200,175,
993,632,309,595,100,415,132,134,273,553,159,035,458,808,922,402,657,704,177,
228,775,074,175,844,507,775,586,312,056,131,591,148,171,492,597,671,942,751,
172,685,309,608,821,251,544,779,128,678,181,041,679,373,275,184,597,594,277,
446,140,766,798,266,381,305,377,790,182,642,910,139,687,788,339,980,865,444,
625,540,532,867,778,178,349,376,867,491,776,230,846,224,165,899,534,432,727,
631,324,693,198,928,207,724,196,120,683,711,312,513,268,912,196,084,436,163,
402,540,783,367,405,092,972,046,691,542,863,938,925,185,143,136,483,186,470,
266,716,581,355,697,775,111,782,824,116,529,391,217,825,586,448,794,358,783,
825,882,267,796,554,317,081,280,064,742,981,826,027,904,257,337,914,606,765,
138,311,654,219,261,404,913,488,432,984,123,331,537,101,585,733,645,971,088,
298,595,833,355,192,454,725,023,181,838,076,423,255,703,222,486,243,437,368,
275,944,273,283,840,228,053,585,611,522,469,626,835,588,391,807,236,744,665,
604,547,833,571,201,764,245,395,934,950,947,865,396,672,059,632,855,467,566,
604,267,758,718,711,134,153,825,190,397,174,876,604,556,348,750,122,313,127,
939,139,118,722,097,667,398,052,532,479,536,819,180,185,840,497,271,677,807,
235,987,438,973,844,909,377,754,436,616,208,811,131,659,807,115,967,591,308,
843,088,776,670,014,375,351,224,563,620,367,844,863,221,540,541,030,460,570,
512,848,013,887,554,287,498,972,809,452,325,121,261,711,769,102,935,176,058,
161,642,718,892,034,251,456,254,365,220,662,383,469,426,416,227,367,543,545,
595,127,536,181,128,200,760,675,611,651,679,620,336,694,619,222,078,684,484,
930,801,270,238,505,033,999,032,160,502,234,812,582,776,287,442,573,162,479,
396,996,890,306,047,507,165,916,571,170,392,603,432,216,344,987,633,392,077,
917,296,914,211,954,670,325,583,249,315,602,371,050,635,858,976,884,727,985,
463,346,356,691,344,512,064,403,857,466,345,578,077,709,422,355,972,154,425,
621,086,884,972,157,934,575,398,074,307,825,190,220,121,187,510,990,348,192,
490,066,299,212,561,316,638,101,736,152,672,928,643,419,718,740,024,935,555,
081,290,258,185,904,013,488,636,965,097,321,011,942,069,772,959,584,290,277,
008,083,401,071,331,752,322,451,924,931,263,570,576,609,497,611,159,008,940,
161,071,913,295,124,307,034,358,225,869,762,581,379,191,807,709,729,340,240,
318,830,431,658,148,282,034,229,864,214,056,005,281,303,897,449,948,294,329,
611,891,502,424,754,292,068,237,721,359,658,138,485,526,374,115,102,580,317,
778,960,643,511,880,971,301,816,749,854,265,780,165,554,561,194,205,035,769,
746,061,941,908,369,871,898,555,086,771,514,436,221,719,750,071,760,243,064,
214,119,929,418,351,401,326,444,956,190,541,009,689,257,537,345,338,846,345,
067,585,500,763,669,402,041,573,194,725,540,684,855,976,582,035,909,550,584,
239,889,542,970,194,366,700,603,387,143,416,238,452,944,756,340,560,470,330,
322,150,993,281,475,004,785,093,335,873,880,781,803,802,026,714,365,111,222,
433,621,820,098,697,822,410,005,696,934,794,446,031,171,241,567,906,605,922,
448,733,393,102,898,427,402,068,735,652,830,931,633,001,509,305,460,756,018,
016,959,761,490,401,286,396,783,607,380,775,442,622,427,961,942,535,882,392,
885,033,969,675,118,052,618,213,567,925,790,642,941,440,247,712,829,038,271,
115,298,825,705,749,428,660,325,369,715,501,989,506,388,727,141,700,817,460,
518,349,793,807,324,230,018,068,784,257,449,686,287,923,281,814,502,966,658,
188,106,753,289,905,352,278,484,235,091,953,642,219,228,527,142,102,861,698,
484,742,113,015,899,919,539,978,211,226,357,132,441,719,325,392,512,970,140,
000,407,742,699,734,522,919,747,095,301,810,980,460,790,655,895,645,408,048,
201,419,519,740,376,235,492,279,078,530,876,517,382,700,084,055,454,063,488,
208,387,969,142,995,965,984,703,294,705,374,200,617,179,535,604,637,748,640,
979,717,012,383,368,119,564,379,783,704,417,743,957,608,767,326,035,930,359,
408,111,184,907,092,862,835,454,478,107,216,132,685,642,513,374,249,346,747,
718,916,801,625,959,454,031,296,046,095,749,271,892,359,963,618,906,967,196,
839,938,835,630,266,984,511,764,337,604,782,175,797,635,287,052,017,552,068,
442,948,110,195,295,473,008,769,889,808,032,876,522,831,450,255,021,690,035,
119,437,341,550,196,567,648,269,830,704,171,393,954,569,552,096,808,400,686,
843,679,557,225,200,113,205,551,689,931,419,517,586,621,785,965,984,240,135,
742,682,749,165,868,249,430,154,586,207,320,986,497,590,118,141,199,008,299,
304,283,770,966,807,621,948,324,431,533,849,448,582,910,327,221,823,048,670,
984,237,858,743,090,946,883,107,758,748,207,675,351,563,896,951,846,820,537,
477,885,003,868,087,516,329,832,939,279,880,083,102,341,093,810,519,765,598,
360,188,369,186,215,123,860,936,385,201,070,237,597,180,079,479,596,275,724,
968,135,065,916,206,903,932,897,385,939,527,679,032,617,654,665,405,210,117,
538,604,588,190,549,603,148,349,836,850,428,056,596,383,667,663,108,459,353,
111,554,169,916,526,930,594,906,433,558,538,940,932,614,197,536,286,543,372,
976,124,132,908,117,771,461,611,024,100,242,954,336,816,750,411,623,975,135,
021,259,208,244,164,224,058,407,810,718,905,190,280,172,328,185,640,026,610,
604,615,016,578,719,133,514,634,524,263,923,399,333,368,497,560,627,366,353,
971,695,057,599,346,466,043,450,484,700,522,599,022,661,626,359,581,757,334,
143,478,581,989,063,977,491,787,973,164,890,448,305,228,906,598,862,184,566,
117,104,320,347,768,311,921,937,248,897,486,139,327,887,574,117,634,846,262,
490,932,285,120,475,733,132,552,963,897,905,736,738,596,122,045,915,793,629,
294,030,860,037,345,773,982,807,787,048,718,392,640,240,719,212,666,686,855,
542,083,654,528,435,320,428,152,841,760,615,680,194,236,022,721,540,720,020,
664,261,504,607,298,965,423,640,983,764,950,541,016,772,820,848,296,581,848,
649,182,765,534,878,621,862,400,425,580,087,288,602,968,030,220,362,190,320,
948,403,226,333,112,816,601,835,214,753,423,119,291,571,646,849,091,272,396,
667,918,891,609,233,302,323,954,035,132,364,924,054,662,740,383,400,677,749,
424,133,556,091,638,590,971,058,059,935,577,280,351,222,797,189,856,542,528,
748,603,601,411,595,967,411,431,372,167,753,153,925,764,467,292,451,750,163,
288,249,408,595,442,796,524,722,107,766,856,205,506,118,417,947,948,129,687,
915,187,119,157,710,326,756,179,065,747,112,562,853,637,920,350,494,737,586,
507,928,870,516,547,072,859,426,128,332,070,212,171,150,476,004,071,744,479,
848,997,860,862,506,492,574,749,734,671,886,424,753,109,995,909,537,663,851,
039,471,846,666,701,000,428,462,469,058,279,205,182,245,537,677,831,708,630,
782,072,821,554,926,048,243,978,146,816,523,973,256,569,991,091,194,471,338,
132,095,879,524,005,943,354,162,294,336,954,574,468,635,299,935,951,756,717,
646,410,767,549,879,380,972,216,198,539,851,843,178,185,099,562,645,626,431,
520,797,152,297,299,789,462,818,294,795,664,617,178,695,412,524,812,488,190,
013,883,823,699,893,867,731,272,123,195,600,952,483,505,347,413,254,295,611,
068,822,827,729,416,864,051,120,786,173,348,516,048,353,718,047,896,015,508,
284,390,168,685,171,526,904,107,375,367,747,753,093,838,112,099,260,636,611,
332,344,250,398,827,563,026,423,960,347,281,705,087,794,578,602,719,703,570,
868,037,203,141,637,320,375,196,421,817,821,501,910,166,793,778,367,653,465,
901,964,183,811,839,177,877,308,895,406,779,378,724,540,885,276,618,680,188,
564,263,413,260,166,663,533,154,706,617,019,828,208,216,251,706,930,877,871,
685,522,578,767,667,567,355,093,850,367,833,089,351,241,301,596,808,308,656,
011,008,060,753,152,349,299,598,036,987,586,115,553,938,301,156,798,399,410,
418,303,997,614,325,993,866,520,011,517,449,887,233,163,891,218,241,196,790,
948,674,094,610,918,242,066,566,757,324,234,932,245,277,598,773,351,093,543,
105,434,418,575,976,957,884,005,643,037,959,874,144,052,069,655,588,840,382,
472,321,867,902,154,681,313,443,906,194,634,846,905,826,301,936,617,199,231,
714,387,814,218,216,563,708,769,332,583,264,280,659,120,098,243,303,839,488,
874,683,575,777,660,506,121,762,112,134,051,816,829,427,469,086,634,827,594,
483,287,294,203,322,063,208,428,724,408,424,757,758,876,929,526,233,953,911,
611,861,502,308,455,108,217,233,753,006,025,229,780,867,012,982,556,254,989,
983,614,721,430,503,913,277,754,414,059,484,988,574,708,370,219,057,748,940,
151,382,851,593,801,637,275,363,541,462,117,094,625,151,375,932,302,736,748,
662,631,712,960,004,495,297,494,892,792,151,114,839,546,958,645,455,392,648,
605,503,759,685,705,877,267,212,992,472,527,364,564,371,676,523,698,134,885,
081,621,786,752,735,018,361,325,917,789,913,040,232,431,457,400,003,449,844,
416,989,122,352,659,329,458,568,948,082,210,184,804,761,621,080,678,356,668,
891,186,599,602,069,220,360,385,963,731,748,066,304,109,344,626,824,204,381,
508,069,947,594,472,408,732,446,476,261,336,771,753,830,544,946,698,681,451,
464,380,226,499,683,332,593,190,006,795,713,489,252,542,993,160,339,397,723,
905,106,486,335,965,534,288,317,685,597,337,858,733,611,960,538,159,775,847,
471,582,265,846,192,562,667,885,300,547,951,728,501,942,867,260,493,524,948,
311,049,048,954,037,497,109,994,240,942,329,262,456,477,078,913,428,305,977,
933,059,345,983,311,050,370,015,014,278,219,937,167,213,557,331,631,353,153,
006,178,009,993,053,652,703,870,068,427,045,353,018,809,381,784,848,326,653,
824,737,247,620,121,957,355,681,369,840,053,173,652,271,367,890,881,943,561,
036,028,403,119,581,717,779,910,337,377,781,356,190,906,064,332,118,619,425,
386,476,301,422,688,837,300,073,062,932,668,752,557,614,015,688,436,164,158,
073,637,389,872,785,829,180,934,132,786,336,111,911,236,966,358,924,168,542,
046,517,037,161,240,620,741,513,576,308,945,482,824,443,005,517,475,907,304,
873,637,240,834,200,254,775,508,856,714,910,611,015,951,832,467,942,353,072,
110,601,495,619,168,467,045,379,131,884,091,473,266,035,609,830,448,531,663,
314,126,465,389,963,024,506,688,401,802,811,188,031,169,978,885,171,766,803,
846,724,014,184,008,461,712,040,428,130,592,508,395,236,887,148,914,264,333,
838,605,017,601,514,309,919,571,042,765,535,749,174,866,961,487,562,021,054,
766,735,834,787,813,922,635,110,406,624,139,714,864,571,462,036,115,205,300,
827,556,363,295,161,649,380,174,313,982,103,878,202,981,873,494,319,770,648,
111,572,070,283,108,644,622,651,891,922,204,350,421,855,209,022,094,014,813,
847,312,200,950,323,112,255,503,119,907,273,085,774,209,777,029,564,716,008,
347,062,646,527,289,406,807,961,266,001,068,757,930,191,200,032,879,496,551,
178,520,327,830,514,087,185,951,968,837,131,082,045,236,242,659,274,370,238,
925,442,060,140,786,345,183,611,967,598,282,873,999,666,392,920,700,529,842,
228,345,823,345,214,319,974,335,723,799,868,986,984,785,683,924,757,190,790,
927,407,479,848,781,216,247,586,130,351,846,418,004,199,272,911,751,253,894,
475,188,368,243,417,893,773,699,842,018,744,343,150,045,931,856,341,613,914,
942,760,337,897,506,141,389,512,140,806,279,537,184,210,842,474,555,732,370,
515,864,032,495,840,603,365,407,570,391,828,086,907,587,399,429,472,473,194,
927,414,557,312,019,135,107,385,625,510,398,909,660,394,361,099,638,059,818,
119,894,338,491,106,338,588,424,653,356,402,884,112,160,909,395,818,396,699,
055,792,163,675,244,266,275,664,508,245,170,734,033,051,955,789,412,504,316,
037,204,996,217,437,570,258,997,082,346,643,766,796,147,740,443,820,118,907,
633,693,878,218,910,600,575,694,458,582,891,821,929,669,849,397,305,155,484,
631,604,062,300,633,307,280,157,031,508,183,326,777,568,056,636,045,793,820,
425,587,924,083,432,916,841,296,509,009,347,025,178,575,325,378,424,589,432,
965,687,475,550,923,341,922,683,829,060,348,099,964,981,540,642,844,687,037,
956,177,546,247,704,805,810,677,971,221,047,003,286,287,527,865,424,004,953,
107,943,300,639,161,964,124,644,375,977,576,124,181,915,290,358,418,561,413,
578,328,553,558,657,802,642,938,506,530,216,079,977,706,070,780,885,312,483,
778,077,131,529,752,823,449,953,840,634,117,645,297,061,348,379,914,082,149,
268,071,022,422,647,699,447,493,221,178,468,945,725,354,035,489,026,769,517,
337,550,873,853,145,278,430,312,568,921,906,757,918,054,526,403,306,681,519,
298,257,277,857,954,006,456,173,728,376,978,741,912,754,078,630,729,023,664,
891,501,344,495,819,757,042,563,802,410,454,465,299,061,798,688,101,305,736,
261,761,425,684,739,726,576,342,728,116,645,893,662,444,914,349,035,879,343,
882,858,852,297,482,310,767,836,974,135,696,290,391,954,543,684,335,250,231,
217,258,596,173,318,613,236,734,546,770,553,393,501,147,594,218,854,402,136,
229,103,116,671,788,991,833,025,486,039,521,430,491,903,676,948,504,348,881,
231,197,168,122,767,762,412,519,730,090,581,873,287,967,368,316,274,174,548,
904,289,830,936,239,784,090,156,537,631,330,195,334,716,313,029,803,739,879,
972,159,242,765,829,669,198,283,119,962,760,884,543,214,976,832,342,064,864,
078,948,167,990,546,757,450,723,464,366,296,298,800,053,181,366,862,376,329,
583,229,475,555,658,258,131,284,630,141,775,959,613,961,440,784,842,194,247,
876,951,373,978,978,354,615,763,953,381,353,561,079,651,414,434,308,366,244,
449,267,677,383,660,391,401,704,402,298,800,548,734,479,183,979,062,039,860,
205,438,165,608,473,821,481,979,119,741,115,776,183,323,724,553,294,628,782,
286,031,703,683,499,323,299,146,507,574,860,832,411,524,244,075,743,253,534,
661,052,103,323,774,865,856,806,959,262,404,899,669,045,915,138,790,329,463,
040,535,333,079,975,131,513,805,657,544,756,014,128,860,409,822,865,986,429,
468,505,355,336,572,264,452,632,302,551,902,425,091,733,220,862,319,515,587,
483,573,593,779,318,306,887,334,870,111,130,855,801,569,135,950,016,036,160,
666,395,407,646,484,234,869,212,501,808,278,468,271,058,215,312,170,243,148,
785,621,242,666,740,480,329,179,320,616,890,282,896,487,607,230,862,599,398,
550,493,901,428,249,891,295,801,245,781,284,739,795,181,540,728,123,779,595,
228,339,687,011,441,114,188,313,790,946,916,480,355,029,501,289,114,689,151,
811,951,918,737,030,717,238,159,433,365,935,481,299,128,494,254,947,851,731,
752,762,926,103,634,666,649,969,000,159,586,852,521,489,100,546,661,631,917,
727,198,675,036,701,988,047,882,169,778,971,151,634,310,110,055,160,248,950,
455,524,136,310,270,668,310,963,891,518,918,408,283,498,797,943,768,428,346,
328,921,890,816,345,029,583,013,787,544,436,810,008,218,998,184,271,026,181,
057,113,076,795,717,816,208,685,658,759,060,314,240,283,360,737,245,079,477,
963,691,232,136,223,963,486,212,127,074,488,670,010,716,835,193,956,894,864,
061,685,959,894,134,637,966,969,736,269,879,883,699,127,987,635,578,184,763,
541,367,230,616,413,119,840,633,761,933,181,908,226,218,140,566,266,621,712,
848,913,184,803,666,715,845,898,942,234,978,050,683,541,736,734,718,715,637,
912,427,332,825,436,547,926,722,017,205,647,378,138,911,150,221,328,268,369,
020,556,128,480,241,084,719,053,188,715,356,771,915,698,853,459,524,512,073,
189,823,079,237,128,635,741,207,399,490,525,587,539,519,614,267,787,543,563,
176,937,223,423,906,103,546,209,159,642,083,585,471,135,163,677,988,017,771,
488,585,347,751,027,707,278,911,525,872,310,386,732,539,525,975,980,637,000,
705,748,709,857,156,675,337,103,256,731,203,786,401,190,573,332,805,699,980,
490,941,224,230,766,826,716,240,684,972,133,574,778,515,601,251,619,068,121,
424,270,138,427,259,609,513,498,837,499,494,976,099,098,484,004,236,186,934,
778,355,751,953,620,209,657,354,405,006,068,152,912,442,966,303,698,024,887,
563,368,047,539,244,381,968,575,017,634,393,257,758,640,774,915,337,926,974,
818,442,604,754,740,939,680,448,896,821,474,610,830,117,892,257,016,686,207,
098,926,720,696,969,713,388,791,435,401,165,699,808,665,300,141,439,083,360,
079,428,625,690,038,514,498,708,665,597,298,082,554,990,059,661,195,580,475,
718,658,987,058,788,255,201,462,375,820,360,321,071,638,444,929,306,715,748,
929,221,609,236,785,599,962,869,086,095,805,217,977,173,995,612,256,082,725,
150,476,006,838,967,362,768,877,793,251,713,828,931,854,861,899,633,150,759,
672,017,751,682,831,037,163,550,491,679,899,000,124,196,306,059,213,670,203,
144,816,017,351,122,298,544,313,294,835,974,509,977,173,712,352,402,098,627,
740,640,797,749,025,926,776,922,321,498,261,710,854,443,012,066,054,108,044,
301,862,002,624,514,634,424,070,287,577,796,298,999,258,783,936,159,712,107,
131,330,336,611,492,524,931,197,715,182,051,859,199,916,983,493,996,421,743,
362,369,785,213,842,096,858,535,739,927,948,227,145,945,301,625,980,796,713,
211,740,872,167,954,978,751,829,858,716,686,859,545,943,229,655,195,213,811,
789,114,324,647,153,117,631,624,475,218,460,443,439,435,168,117,637,968,555,
720,600,203,269,040,088,207,141,513,007,967,855,900,239,491,467,211,496,425,
273,593,173,160,364,626,662,157,605,727,094,956,724,334,424,504,048,407,175,
404,622,791,240,686,290,604,368,434,405,001,392,057,352,895,946,490,294,869,
120,982,817,680,642,531,322,112,887,407,930,488,366,557,333,348,739,126,787,
180,088,558,178,056,391,982,715,623,035,216,187,359,588,520,508,165,319,072,
042,934,425,729,274,190,279,739,191,702,776,724,125,646,535,606,120,252,441,
006,727,926,433,612,418,071,610,808,441,846,513,689,267,690,944,482,230,464,
220,094,656,920,276,873,568,991,571,055,058,748,888,932,305,483,492,493,720,
528,841,091,346,155,142,333,135,852,398,790,909,933,595,954,727,215,540,148,
744,993,982,067,202,667,827,069,840,606,314,118,952,414,624,101,590,615,143,
402,317,996,505,184,496,235,156,598,679,846,471,157,477,262,408,315,573,611,
438,627,401,098,113,779,151,663,815,874,923,450,705,192,392,002,320,706,055,
971,899,659,306,607,231,752,984,051,135,380,649,766,172,190,015,958,924,615,
594,121,742,099,424,114,280,282,600,354,373,579,406,644,842,173,179,780,120,
471,368,598,196,973,660,564,253,444,456,670,547,737,065,896,017,973,510,693,
489,133,993,551,244,601,762,698,175,261,513,710,853,279,580,421,992,193,999,
380,820,262,797,290,000,439,347,471,932,369,012,274,069,854,838,567,513,184,
046,141,616,833,911,253,575,541,655,295,333,794,503,896,505,526,455,977,978,
996,050,962,196,139,454,369,758,864,530,777,401,182,543,680,450,334,295,883,
829,251,497,864,752,998,761,201,857,454,796,538,699,064,453,502,434,359,061,
106,200,777,644,808,659,359,353,950,813,993,403,540,247,010,131,987,093,329,
416,432,274,890,088,310,879,900,456,772,979,291,291,721,730,232,892,594,369,
802,199,912,853,834,358,924,232,243,569,564,699,993,083,815,783,330,342,454,
255,725,513,694,607,879,301,563,010,050,482,144,015,647,099,410,117,974,218,
188,680,078,586,165,395,219,706,325,178,014,478,667,889,133,373,115,054,221,
249,514,412,703,172,611,550,161,123,686,357,887,953,132,299,862,129,460,574,
189,511,907,543,676,929,466,944,779,059,856,848,669,765,043,101,294,090,505,
618,279,968,756,450,803,019,756,827,594,909,912,461,691,724,828,493,696,395,
300,681,418,282,508,691,432,692,868,221,600,692,154,710,827,009,494,194,692,
500,026,801,887,763,662,542,413,573,248,763,227,010,783,978,693,343,782,533,
485,059,698,991,122,336,663,401,904,600,124,383,573,261,049,655,405,191,221,
701,928,278,287,346,724,851,474,708,211,939,918,528,777,044,104,692,430,030,
973,619,493,357,702,772,911,708,433,435,807,552,788,171,090,632,725,716,644,
610,305,046,736,891,811,733,315,522,394,477,460,943,150,721,845,030,763,468,
291,448,231,568,030,482,348,129,757,705,814,663,788,839,762,997,605,345,668,
940,633,136,065,366,746,957,274,088,213,249,075,031,707,435,706,413,948,836,
340,613,337,257,904,840,776,141,871,090,096,539,535,294,287,826,455,755,944,
813,704,935,400,439,640,538,708,647,111,191,262,211,358,522,546,158,978,346,
868,209,842,700,587,473,148,086,395,150,503,456,372,516,087,500,305,661,223,
937,918,233,883,343,149,903,887,099,824,052,496,174,156,926,453,694,435,579,
563,418,401,908,058,593,630,524,439,661,706,034,432,234,826,576,997,160,229,
800,940,787,541,921,666,073,205,102,978,613,680,914,677,676,428,950,648,093,
005,847,547,929,571,193,565,670,224,971,542,554,036,332,049,529,210,979,933,
559,737,803,251,965,519,671,043,801,070,411,744,082,323,521,924,411,824,640,
653,546,312,619,666,768,042,993,444,773,339,639,222,616,775,726,311,489,345,
094,571,273,181,992,194,314,910,340,633,225,401,639,239,776,043,577,913,564,
721,898,508,382,160,604,779,593,219,398,198,120,817,088,077,112,011,727,296,
747,360,787,325,989,112,715,503,511,107,671,745,857,998,420,251,567,345,034,
712,909,839,420,764,623,241,908,168,306,793,680,833,614,082,559,798,717,681,
796,203,606,739,757,679,487,223,068,546,524,914,172,842,172,338,158,509,859,
826,006,836,226,235,472,622,906,391,916,497,841,472,369,145,892,540,151,285,
138,656,232,870,476,366,621,115,508,059,923,436,922,817,503,684,109,029,877,
151,284,316,561,197,894,094,944,285,191,598,021,316,856,541,962,030,910,058,
217,452,306,342,035,209,425,193,056,972,751,024,855,814,360,647,316,039,162,
845,792,207,187,835,639,387,189,896,283,617,877,159,219,154,243,814,469,471,
628,470,301,060,836,207,616,974,636,813,548,837,237,878,330,729,393,215,060,
659,288,418,568,023,163,965,843,408,144,471,535,407,724,929,293,444,530,129,
131,063,634,478,813,970,113,124,594,396,131,416,420,265,603,928,598,948,643,
841,238,244,175,870,615,670,178,438,045,187,978,649,383,550,254,286,262,220,
574,371,758,056,238,245,958,703,607,162,000,986,385,217,344,054,824,184,083,
023,950,202,662,900,855,397,872,162,517,566,266,038,825,958,488,675,907,991,
657,479,008,808,714,750,317,106,154,830,879,225,591,195,047,729,032,417,718,
505,041,124,719,176,107,807,926,605,358,255,515,806,409,602,682,117,243,034,
826,580,742,795,246,825,195,159,410,205,004,506,849,421,894,875,599,811,430,
701,163,820,177,447,876,601,190,735,392,830,523,792,992,392,895,297,531,475,
008,312,392,645,213,809,260,444,422,342,323,061,348,811,862,929,610,599,347,
557,813,218,383,331,529,266,770,963,151,921,029,358,494,695,334,520,335,029,
598,383,349,299,045,140,756,801,554,117,934,263,889,275,820,258,024,008,758,
416,415,578,813,041,474,987,373,638,945,832,708,682,161,792,813,720,306,044,
279,193,457,891,399,552,378,081,963,314,221,798,687,947,759,013,831,145,400,
149,283,282,744,568,859,635,325,755,419,831,253,259,531,707,520,078,029,657,
544,489,860,456,885,087,417,718,975,307,348,775,919,934,403,755,200,113,674,
199,006,568,340,899,169,834,432,475,486,097,975,036,953,446,168,050,354,310,
884,339,203,647,677,911,381,076,857,501,295,047,535,865,887,480,318,726,415,
655,986,015,369,151,587,443,477,204,851,291,515,264,119,622,536,444,806,038,
574,012,816,077,883,503,330,002,953,828,068,731,530,121,564,442,466,865,307,
036,024,502,131,612,171,146,174,327,729,196,385,060,423,072,790,005,393,442,
972,793,259,187,535,625,225,830,021,515,229,494,769,624,547,584,987,247,456,
390,371,689,054,254,117,823,080,796,305,546,242,397,846,166,814,775,407,732,
934,813,109,249,405,251,574,482,844,706,677,722,596,882,610,067,244,332,796,
721,694,858,449,501,431,682,434,391,046,182,273,432,391,210,444,737,698,559,
516,591,764,276,118,772,326,600,127,118,880,969,449,395,935,845,029,572,110,
319,501,228,801,098,075,700,354,148,166,948,774,163,167,639,375,383,679,065,
441,173,487,293,825,244,666,306,570,527,563,732,052,960,965,979,954,476,180,
051,528,561,558,250,850,288,492,994,372,332,837,178,628,095,628,578,315,709,
610,462,523,884,239,462,408,362,961,023,406,680,621,477,662,742,846,180,228,
964,413,708,040,491,805,454,203,955,830,762,832,287,747,093,312,613,932,269,
649,291,265,389,120,489,569,236,929,229,748,153,475,389,189,886,615,959,413,
046,807,392,051,174,684,003,157,280,146,096,488,474,572,407,249,888,640,517,
359,021,436,533,201,131,562,382,665,095,840,693,746,409,358,316,255,820,869,
373,039,003,581,290,999,782,039,816,835,455,243,553,573,599,093,735,190,243,
828,427,378,180,606,921,631,516,932,525,096,259,690,696,691,822,878,529,690,
897,951,042,896,256,149,985,259,922,767,960,756,991,476,938,827,510,599,857,
695,967,536,968,800,013,437,012,681,472,636,088,237,837,495,622,264,180,930,
281,412,764,168,219,693,423,739,022,090,485,232,750,104,086,702,085,357,352,
545,492,061,916,383,799,689,454,648,629,953,048,802,109,225,493,720,930,453,
237,339,202,122,103,368,459,282,637,024,150,316,540,172,672,606,355,969,650,
862,402,634,107,374,728,162,833,589,374,163,696,138,761,786,150,287,446,755,
075,907,331,211,701,975,909,085,716,183,433,809,369,130,820,080,435,497,452,
949,271,678,999,601,772,131,448,335,316,679,253,437,375,734,466,605,225,791,
292,734,959,073,585,248,724,530,676,703,633,498,638,996,438,359,976,814,574,
601,364,350,762,297,762,218,008,013,735,864,672,038,091,333,102,526,968,566,
016,383,099,104,033,015,091,361,642,192,233,703,990,185,950,238,561,377,526,
472,131,585,261,682,863,834,301,909,999,526,859,315,673,358,069,707,002,475,
665,951,323,728,841,295,194,784,072,817,589,454,622,763,359,540,974,287,653,
466,832,859,904,881,298,482,647,708,681,642,136,457,323,557,151,575,001,870,
126,716,198,881,531,533,043,629,456,239,195,330,767,521,677,556,626,165,112,
121,829,521,654,918,016,004,680,368,470,560,003,457,455,956,390,978,541,983,
307,246,089,610,133,763,292,780,487,949,931,784,440,757,802,513,877,677,623,
544,455,228,027,020,845,893,965,715,091,692,002,292,524,366,265,663,889,231,
077,656,967,443,730,208,659,863,776,773,801,365,812,009,986,197,120,375,575,
059,638,376,026,349,068,237,041,345,105,503,500,050,343,185,714,275,435,069,
219,521,789,354,682,418,198,485,738,876,210,710,118,269,990,862,893,875,298,
011,960,644,975,698,660,675,720,049,386,836,612,052,755,788,480,098,522,489,
467,069,187,879,243,013,541,814,918,143,331,664,139,487,480,319,239,239,873,
846,754,851,878,536,150,240,440,746,798,901,243,152,764,567,711,365,622,796,
786,816,709,439,377,820,879,331,970,838,574,288,313,203,540,658,929,621,605,
504,608,073,911,984,219,612,810,118,854,761,707,265,407,070,694,619,411,982,
631,640,847,237,032,445,737,796,997,356,762,942,493,183,681,771,600,937,726,
482,154,293,536,471,141,963,077,172,788,779,186,244,752,301,794,763,190,959,
312,229,975,959,995,121,983,281,083,450,117,185,800,461,447,448,247,321,108,
457,492,897,358,968,877,202,846,675,126,284,548,434,165,057,461,694,408,333,
267,320,581,815,167,548,805,697,628,659,753,394,370,100,621,767,582,863,947,
764,397,299,370,538,754,576,907,589,022,523,126,691,695,482,777,035,420,870,
644,194,925,755,940,710,309,913,509,643,078,158,738,626,479,484,805,087,501,
333,107,032,206,304,488,995,944,247,941,294,739,391,481,967,380,342,644,257,
961,091,052,022,782,033,046,829,086,556,405,252,697,313,602,046,465,521,147,
820,426,291,454,308,313,828,788,178,689,935,675,555,692,735,093,687,367,093,
039,336,480,135,360,072,442,064,187,585,667,564,095,316,156,964,135,932,622,
839,687,318,973,461,506,221,448,323,985,751,760,551,179,833,512,866,343,606,
739,561,338,786,801,108,001,109,133,282,784,568,178,788,763,900,342,840,104,
543,343,964,540,612,365,581,984,347,051,795,397,619,519,171,702,350,834,997,
384,376,058,991,750,242,597,304,908,299,337,091,972,557,038,062,685,016,641,
017,477,082,944,106,500,796,615,051,662,624,028,088,228,845,882,390,084,304,
488,083,804,257,643,187,885,631,569,253,564,782,329,810,910,304,441,626,540,
018,350,240,214,587,567,338,018,791,090,765,567,120,497,492,202,151,375,459,
102,109,121,346,272,133,136,587,782,462,083,940,036,764,101,204,804,477,684,
233,367,547,664,030,284,817,998,842,799,188,769,144,885,299,695,140,983,055,
363,421,559,136,214,674,933,297,838,530,717,221,907,188,881,204,153,453,194,
879,898,101,280,940,156,287,479,541,563,360,808,282,871,026,854,191,436,882,
952,267,207,294,975,021,951,669,402,871,469,172,844,396,903,430,256,225,405,
479,288,356,918,054,355,342,027,592,069,864,734,393,624,073,881,282,383,972,
731,439,584,428,972,992,240,136,600,231,946,394,556,527,636,545,333,476,522,
820,941,493,827,383,837,650,377,555,745,658,836,005,489,784,533,109,528,196,
919,196,571,517,447,420,250,194,347,190,812,159,755,796,220,729,838,297,118,
752,207,224,252,463,027,453,976,139,621,240,817,480,414,954,836,435,756,802,
390,697,653,488,116,772,031,713,615,312,963,174,641,555,301,914,567,390,448,
365,048,170,403,190,988,749,752,664,211,044,274,053,270,483,975,495,397,571,
506,422,864,932,340,914,088,489,432,004,084,966,849,854,684,417,882,532,570,
602,945,679,984,355,335,287,827,854,404,122,754,489,569,988,568,373,703,712,
687,890,841,823,180,535,288,763,454,282,458,106,630,267,665,997,136,166,195,
999,715,560,521,388,730,265,023,668,076,805,205,764,186,266,404,905,298,723,
716,872,512,664,471,002,649,099,549,603,303,513,347,450,286,952,089,282,140,
638,864,452,961,558,532,135,026,258,674,743,072,776,144,365,700,639,018,673,
112,085,212,231,200,807,420,923,919,967,594,094,474,172,886,415,594,348,408,
072,662,253,363,253,144,552,907,471,451,249,655,092,125,163,077,849,298,347,
404,833,993,513,968,661,894,575,786,934,575,603,420,126,104,810,330,112,364,
552,933,038,792,881,474,088,892,632,609,705,763,545,629,384,633,653,094,772,
356,877,577,371,459,371,780,564,226,922,159,853,275,050,464,390,194,451,141,
305,465,153,999,005,471,750,371,526,037,178,342,822,630,293,767,698,040,897,
079,367,769,672,352,860,917,154,819,083,400,922,507,647,814,723,722,806,974,
874,150,814,840,872,936,079,698,026,114,196,018,240,695,971,258,028,786,373,
686,788,560,931,183,541,696,868,225,875,151,004,422,143,859,345,127,230,572,
653,438,657,869,208,215,677,296,817,111,687,126,199,850,758,002,168,398,892,
017,064,419,099,172,159,421,574,847,941,400,629,591,734,220,623,976,675,123,
797,788,253,638,884,750,490,296,242,841,185,038,999,068,044,278,236,182,794,
272,212,064,329,874,925,526,890,124,135,372,383,232,276,381,247,464,546,346,
151,678,390,572,504,066,416,951,590,872,751,808,710,070,186,577,093,235,392,
858,415,435,188,155,658,561,839,502,591,008,975,740,200,497,225,623,764,976,
138,444,465,454,311,966,673,175,081,570,576,559,322,156,693,389,464,268,410,
447,580,740,184,224,486,552,095,473,538,805,112,011,217,423,692,939,737,043,
848,380,564,454,042,083,557,430,848,603,851,265,553,807,757,190,142,768,367,
968,344,694,226,276,346,823,448,600,715,705,703,688,431,155,654,690,837,796,
908,408,342,296,100,849,788,818,144,747,956,543,423,837,788,583,968,617,936,
550,852,319,157,675,587,682,527,980,544,454,175,242,551,641,676,363,067,801,
547,515,537,404,681,260,104,521,469,171,661,676,160,472,589,020,733,607,454,
413,805,416,367,557,283,803,956,277,663,916,691,183,973,833,664,389,277,991,
359,661,011,487,631,360,947,371,971,241,751,937,807,306,633,484,241,651,159,
666,062,586,448,835,573,073,453,416,179,824,381,536,025,824,773,688,941,132,
725,174,635,516,637,885,702,435,215,304,370,866,016,300,140,206,702,650,691,
137,027,066,701,410,734,659,741,817,843,295,334,990,006,694,632,445,837,299,
205,532,838,482,022,743,501,656,938,200,888,316,585,440,451,217,548,621,021,
801,883,090,567,159,053,690,557,826,194,713,312,009,566,509,316,456,124,255,
198,174,795,383,369,426,816,865,384,134,352,518,456,615,625,103,074,315,370,
251,662,569,493,371,625,181,968,457,583,816,172,182,913,235,380,300,441,718,
070,828,580,566,600,805,303,454,685,580,793,021,342,568,345,000,735,678,040,
522,499,222,180,995,953,577,382,444,306,917,054,285,723,095,425,754,555,372,
261,897,307,293,066,442,816,986,069,532,182,811,610,602,647,029,969,085,596,
605,246,759,881,530,922,070,971,881,068,719,563,077,570,327,433,704,604,236,
509,243,282,378,526,361,483,342,431,998,970,843,858,174,317,507,273,162,501,
072,311,065,861,967,029,279,064,372,465,819,791,259,277,415,750,973,775,736,
973,095,770,350,295,932,021,189,287,668,619,516,812,635,028,995,495,280,957,
006,219,766,632,756,255,085,152,454,270,001,557,244,223,772,566,147,561,955,
804,634,283,620,003,978,712,285,126,921,557,647,432,750,048,325,114,225,447,
190,954,847,314,717,136,069,347,425,121,736,194,409,388,603,485,629,596,520,
348,812,088,728,431,084,583,182,027,257,298,942,899,696,746,364,540,868,964,
610,386,901,652,522,184,436,689,974,645,814,429,148,100,228,239,654,022,069,
749,548,420,387,530,294,641,795,855,432,592,302,592,429,690,963,943,810,319,
667,300,465,020,052,289,517,657,194,804,605,261,391,499,378,794,981,845,653,
734,406,771,431,265,203,248,522,709,828,348,073,484,408,095,985,687,455,682,
531,373,003,958,375,722,701,737,120,448,993,499,826,567,410,647,398,198,606,
494,381,274,063,724,828,110,628,213,236,872,994,533,068,248,558,154,168,913,
922,275,418,207,676,612,331,841,968,506,164,033,850,842,152,212,366,108,269,
797,678,636,785,674,199,632,147,559,037,725,129,936,331,969,953,524,157,365,
084,972,389,451,512,120,696,107,775,660,573,573,836,209,344,074,795,945,015,
352,080,410,818,151,255,627,345,282,351,878,576,141,969,568,239,009,131,726,
650,482,629,612,045,363,013,839,720,320,663,183,490,339,497,027,497,525,585,
401,645,029,499,948,325,120,722,202,607,396,319,375,729,722,852,063,818,221,
679,224,757,457,748,146,380,802,472,906,388,161,402,230,964,155,522,951,178,
516,759,094,094,674,186,637,124,805,026,201,358,005,036,049,743,750,319,920,
574,737,333,584,672,035,050,904,017,775,991,405,708,509,653,049,369,648,574,
327,742,445,854,188,776,605,260,359,001,839,632,842,473,212,215,383,908,646,
062,212,319,065,432,596,780,559,070,057,155,960,246,668,301,090,854,733,705,
196,248,618,348,089,297,366,772,433,998,327,210,183,944,740,708,313,437,103,
299,890,826,824,812,810,758,826,984,119,397,108,486,585,802,995,082,921,251,
510,223,059,658,117,008,796,666,545,888,596,377,707,233,881,194,438,423,909,
046,140,610,071,762,469,452,025,875,573,850,444,977,798,201,632,817,531,641,
528,631,456,454,739,062,712,687,086,024,813,694,891,590,768,564,337,561,737,
183,341,839,675,910,418,033,622,405,723,674,234,115,972,052,943,487,577,369,
715,008,173,511,070,922,326,582,716,940,461,004,647,639,658,661,585,691,278,
132,577,591,153,881,703,259,380,493,542,481,106,454,139,781,104,251,915,380,
898,639,171,842,082,374,105,040,147,083,699,258,584,423,522,139,192,489,464,
961,940,450,824,708,647,766,237,111,301,218,602,979,138,461,040,404,258,725,
507,062,844,144,734,520,189,045,436,093,361,448,442,274,578,492,605,467,131,
036,092,903,856,052,958,694,307,343,035,174,029,943,304,172,083,396,365,661,
387,037,417,601,774,638,379,909,744,668,843,597,635,326,495,780,954,202,823,
434,520,549,723,942,287,618,359,982,321,875,913,231,252,156,968,422,660,777,
199,236,920,265,315,112,455,361,032,908,351,389,648,744,955,227,994,569,720,
263,470,693,712,276,974,702,807,858,683,453,380,958,081,222,545,933,906,277,
767,837,912,538,863,703,626,881,120,631,593,641,588,519,978,947,066,627,721,
510,382,523,907,470,091,329,402,650,272,428,223,524,247,804,118,017,530,632,
558,280,839,237,043,105,130,931,250,948,407,190,606,327,023,811,149,381,747,
908,630,261,996,693,076,836,112,241,478,215,386,894,801,608,719,184,873,098,
372,288,284,363,067,258,943,493,649,987,068,106,920,602,298,581,673,374,865,
781,574,836,083,630,484,795,798,688,913,132,536,088,061,307,138,972,507,512,
871,991,908,484,004,973,904,619,549,367,193,786,997,016,058,190,405,550,288,
465,919,423,323,430,319,469,445,677,445,361,684,279,228,787,217,371,753,834,
927,460,446,179,531,648,763,999,805,572,817,427,629,478,570,645,807,648,738,
645,461,635,425,079,198,635,925,276,895,195,531,503,721,464,111,807,539,808,
030,551,466,926,339,335,544,411,053,684,044,423,936,155,747,433,026,890,195,
387,990,550,305,202,397,991,698,045,929,234,392,202,670,058,857,555,904,695,
964,217,966,769,199,082,859,609,932,001,652,205,920,599,740,966,268,051,554,
886,292,385,209,581,969,498,143,654,884,788,285,240,405,722,193,637,259,462,
903,231,663,367,002,660,893,824,241,242,661,401,007,315,775,211,399,937,370,
973,610,445,697,827,347,927,810,869,419,015,518,437,855,139,280,131,888,893,
530,726,339,533,564,435,436,652,808,519,608,166,185,320,321,225,858,311,022,
025,360,224,969,489,490,360,043,151,390,328,171,040,219,770,008,339,060,709,
646,378,409,257,756,572,877,985,275,608,546,972,271,868,947,698,520,930,491,
323,891,803,657,021,781,904,371,153,942,308,535,901,189,389,055,459,292,623,
597,620,413,374,934,942,945,702,866,438,979,717,628,425,967,798,995,172,070,
029,345,109,445,844,037,277,044,425,369,489,959,499,092,468,070,289,535,284,
950,163,355,589,105,342,689,504,158,937,704,453,001,973,572,450,704,700,589,
533,449,502,951,484,263,054,891,443,509,069,860,927,802,511,164,141,891,025,
620,714,400,951,239,196,810,538,134,348,528,148,802,989,942,675,302,352,232,
396,412,260,631,061,252,176,653,241,425,651,563,080,218,067,241,090,660,144,
700,934,409,564,103,599,445,231,498,477,183,889,900,113,583,054,677,319,266,
369,631,030,667,243,636,997,282,840,010,234,734,233,014,301,663,007,983,908,
326,965,760,212,088,349,327,520,770,876,322,643,381,167,987,528,047,923,633,
364,201,169,836,572,047,515,988,654,386,282,406,905,288,282,049,594,967,671,
087,033,069,092,987,198,078,334,002,680,949,102,484,781,934,159,690,629,307,
568,662,328,979,293,726,237,254,644,894,231,090,605,283,618,232,118,917,773,
251,922,414,002,606,601,700,832,321,677,155,841,517,587,640,129,435,322,423,
680,875,375,928,785,103,539,557,117,000,853,501,395,786,242,683,818,576,178,
423,878,948,778,284,228,024,837,734,405,908,461,321,561,955,783,703,234,669,
545,583,901,511,291,378,447,191,057,850,302,942,792,650,748,478,229,055,372,
274,994,055,803,551,593,200,522,261,073,782,451,122,554,856,042,986,014,219,
462,177,112,411,402,086,046,345,921,522,592,079,387,125,782,689,570,136,433,
167,972,166,341,751,321,029,082,406,267,546,979,410,853,356,684,981,949,533,
221,807,639,269,047,628,996,203,967,075,270,783,829,219,842,850,186,851,614,
948,692,411,674,123,897,392,430,504,808,648,038,694,312,842,585,966,185,519,
752,482,136,391,843,501,781,344,402,614,290,820,654,573,732,214,095,642,228,
868,823,367,927,870,730,584,030,807,716,046,316,983,582,399,678,856,351,693,
571,652,248,866,070,428,992,237,079,970,574,091,254,255,805,458,633,393,713,
925,864,228,351,586,957,154,720,283,838,316,622,292,634,548,537,846,922,914,
880,412,680,594,695,163,752,321,994,111,880,020,764,473,706,134,585,958,414,
227,005,137,397,132,393,971,809,530,596,802,789,639,772,703,997,867,089,344,
943,804,873,907,033,817,755,178,359,505,413,079,549,837,102,538,241,306,374,
597,942,908,939,640,943,532,363,232,551,169,733,533,732,828,300,388,920,703,
103,966,984,722,234,398,901,688,742,098,899,956,755,261,529,337,873,042,721,
562,019,695,058,892,285,952,437,498,820,918,975,434,132,313,548,643,007,018,
344,567,634,924,292,722,732,083,339,382,993,277,231,742,874,418,508,653,815,
923,691,611,901,394,576,012,140,097,603,505,058,105,321,699,060,089,509,515,
190,908,785,494,920,761,890,578,901,940,931,936,799,664,058,508,006,161,183,
066,298,180,128,384,238,339,836,730,564,750,604,339,941,589,897,875,887,085,
109,814,257,778,927,419,900,339,524,390,245,478,802,179,264,130,692,129,682,
919,661,928,263,637,695,960,536,079,758,190,604,761,301,131,823,649,324,628,
046,512,644,605,333,971,357,067,689,944,905,007,442,506,171,897,796,234,371,
070,461,785,761,455,376,377,387,243,122,007,838,040,058,133,603,470,889,102,
363,122,208,940,182,679,307,138,605,587,816,815,132,083,010,661,474,084,052,
289,408,666,606,405,634,378,464,819,271,237,421,620,110,377,479,097,523,141,
118,591,786,157,803,780,374,990,256,695,582,891,403,383,196,646,853,611,692,
351,787,926,865,712,066,881,003,469,985,281,391,326,764,851,399,270,213,831,
718,651,489,319,394,027,696,716,252,574,243,642,708,097,038,360,496,934,580,
431,038,302,913,746,322,134,226,305,663,725,374,197,766,331,325,106,991,659,
844,485,509,817,269,273,190,427,381,751,932,930,750,945,992,498,957,752,955,
535,614,234,212,556,729,933,313,896,149,466,951,727,865,116,602,309,336,042,
391,000,750,492,147,626,421,193,201,722,837,584,832,741,739,672,927,805,048,
374,763,131,628,482,511,904,545,455,049,217,304,453,868,200,230,138,303,617,
387,639,090,000,990,017,963,452,011,315,316,980,185,280,137,901,843,879,915,
268,194,823,665,996,692,136,927,729,045,155,246,496,334,945,340,546,035,106,
428,007,247,002,094,801,705,082,838,345,054,495,084,758,412,344,019,803,989,
944,907,202,188,171,737,742,318,132,298,719,847,180,819,847,037,263,150,055,
598,192,303,747,350,499,865,261,781,705,069,174,847,948,724,205,083,869,507,
041,279,143,469,913,305,454,256,086,251,280,745,099,844,446,511,570,661,338,
064,702,978,072,495,158,323,635,446,542,345,304,144,138,010,253,210,606,874,
153,509,577,360,948,695,568,044,028,468,418,303,280,558,937,929,114,079,900,
092,063,779,068,326,347,862,036,438,611,061,076,656,173,769,226,891,495,120,
258,902,532,478,665,509,810,345,420,344,490,760,367,792,122,864,128,608,056,
963,483,734,807,918,243,677,664,091,263,384,556,721,277,799,158,669,394,299,
251,919,488,203,941,045,571,523,669,406,668,835,909,717,194,198,655,247,020,
281,836,428,016,321,079,208,008,770,550,509,243,729,013,795,091,810,271,519,
691,207,958,859,192,788,664,972,376,116,592,330,981,383,603,710,597,147,709,
183,348,493,759,034,187,583,052,846,342,075,148,931,894,658,557,267,779,642,
368,773,737,191,848,154,220,416,514,210,351,680,314,652,439,179,450,214,883,
247,466,588,315,872,346,895,419,332,635,639,413,004,306,406,096,523,466,800,
315,889,943,622,471,881,051,088,322,951,662,319,348,981,413,104,884,974,970,
627,207,871,060,822,399,319,865,744,392,710,451,963,774,493,727,118,242,555,
337,035,661,900,656,410,428,715,646,491,809,851,468,157,750,783,466,853,327,
192,482,195,647,437,992,930,060,356,608,537,345,200,667,200,136,179,584,287,
031,129,103,304,037,308,721,785,731,954,140,383,359,383,886,828,537,983,586,
235,888,696,465,563,401,214,861,749,533,095,296,803,617,883,672,698,170,371,
349,512,727,751,156,083,802,192,613,657,934,143,994,776,083,369,835,409,766,
383,620,575,164,332,664,739,772,831,509,953,472,852,462,483,713,699,013,663,
420,031,056,966,748,814,669,636,712,958,964,142,895,965,653,452,035,932,448,
467,314,501,802,101,964,628,156,041,899,804,298,030,265,205,742,952,683,600,
286,625,060,673,335,792,660,237,997,725,943,243,750,364,558,544,718,774,971,
607,955,123,730,236,386,990,097,844,307,435,665,101,039,879,346,060,328,422,
629,899,630,096,800,846,827,597,644,557,033,167,328,351,325,788,466,675,357,
167,659,349,484,566,013,830,175,361,636,205,853,227,416,531,128,459,811,319,
963,875,853,445,309,415,904,831,436,367,288,053,188,565,668,913,814,636,436,
911,845,362,114,892,435,481,600,677,814,969,433,339,640,821,916,265,983,294,
326,171,415,809,660,947,844,049,160,132,137,424,309,506,344,179,728,406,441,
424,660,001,950,784,490,301,375,706,949,879,731,513,855,125,909,949,112,215,
798,352,866,287,786,335,123,799,439,819,670,785,331,340,594,850,925,259,736,
878,152,886,265,411,277,876,037,566,616,426,536,887,451,777,009,111,884,421,
534,834,449,030,907,352,193,610,148,394,117,227,171,550,195,380,212,430,191,
201,244,121,539,587,299,045,967,618,722,020,894,734,171,939,015,886,613,242,
337,449,664,449,348,990,090,498,683,361,840,529,663,701,295,339,742,365,891,
511,801,118,048,666,588,318,230,985,157,438,433,883,904,196,573,539,162,074,
091,435,327,854,291,961,088,782,266,909,785,389,720,597,870,963,727,390,471,
749,859,161,478,919,337,613,132,644,552,276,238,197,501,628,489,722,619,477,
408,511,463,067,403,886,289,121,055,278,767,588,137,597,474,581,656,430,481,
008,737,119,743,800,549,684,381,896,937,918,238,823,276,752,248,501,642,476,
211,696,547,541,878,236,576,039,207,662,643,867,015,377,714,683,072,179,474,
934,542,799,448,941,591,024,827,638,672,354,406,921,313,461,103,806,243,559,
693,222,757,626,853,008,353,792,691,186,585,684,572,855,114,921,529,787,524,
962,030,210,904,047,108,835,321,263,987,526,578,408,804,859,233,084,818,784,
939,077,121,164,233,053,128,241,184,132,460,096,765,232,092,200,047,135,721,
237,458,170,531,441,518,218,867,660,334,244,004,900,228,928,723,551,464,063,
566,403,594,023,876,626,676,198,530,611,448,139,090,047,427,818,421,655,150,
298,135,924,402,042,158,569,359,276,988,646,645,996,134,951,917,893,373,816,
825,359,932,339,046,710,240,807,988,362,910,935,181,156,832,683,165,255,878,
263,654,905,005,336,817,422,708,426,114,656,344,197,411,214,392,433,562,275,
940,418,777,256,006,609,102,465,051,798,739,833,492,996,395,158,163,530,056,
657,685,159,072,893,321,987,382,627,144,722,815,216,481,702,047,382,835,353,
330,910,908,678,794,267,260,601,168,148,805,250,508,892,717,110,748,768,635,
532,574,090,228,342,036,365,854,054,302,728,557,361,441,679,499,116,960,004,
964,434,998,551,945,203,951,646,000,509,081,004,011,495,286,734,451,046,907,
745,283,006,215,470,566,801,811,894,134,391,960,153,640,056,270,756,529,835,
897,770,106,856,979,808,700,874,874,221,746,912,934,325,097,659,621,635,416,
700,286,900,821,128,380,011,014,607,393,462,212,893,851,126,719,285,655,149,
307,616,930,160,958,865,069,322,379,138,561,893,968,152,987,284,876,165,546,
518,381,422,434,712,665,489,513,478,620,773,677,980,414,389,195,186,635,082,
563,396,227,131,354,030,216,371,369,002,587,620,065,234,490,003,955,320,395,
076,237,930,867,129,608,554,745,645,065,826,571,542,566,959,477,193,412,834,
576,972,647,625,708,460,990,044,737,000,152,147,290,844,352,289,813,218,133,
542,122,332,690,331,832,985,300,878,730,017,394,080,738,547,447,374,541,195,
149,002,879,217,092,979,222,391,558,169,892,021,395,306,435,332,452,238,158,
665,086,568,715,944,417,842,857,957,543,503,058,998,394,919,967,500,480,418,
038,128,775,720,134,448,031,694,604,627,637,718,613,153,058,819,712,492,602,
559,565,367,028,805,278,557,244,410,711,778,626,809,096,913,068,805,536,446,
144,017,477,523,264,178,592,362,606,690,293,568,580,853,043,147,891,327,118,
213,768,049,380,034,716,454,652,434,667,530,295,169,779,531,509,554,121,674,
230,997,058,685,203,356,703,727,957,026,213,816,312,355,295,183,441,899,308,
706,414,100,315,609,048,995,096,344,120,721,768,615,631,277,571,428,406,864,
713,170,092,397,636,783,180,865,635,181,852,288,171,584,987,359,720,407,737,
756,604,974,417,066,452,262,458,877,053,790,790,813,082,504,056,158,525,389,
330,215,196,646,883,845,921,669,952,304,210,639,372,428,005,976,395,485,698,
207,457,434,336,038,051,482,171,310,266,093,998,692,621,490,507,700,256,456,
281,750,190,572,192,152,121,371,207,893,624,616,524,856,779,192,293,261,802,
945,261,372,230,940,388,966,439,056,344,860,985,114,432,374,508,124,005,065,
271,857,574,185,103,929,237,627,058,614,527,385,518,613,600,377,150,882,414,
362,962,725,713,923,156,479,194,219,182,744,456,579,585,285,991,333,597,517,
643,710,279,810,862,619,872,386,939,423,480,597,036,080,165,761,231,406,970,
379,996,727,057,775,896,852,073,348,418,719,180,774,545,651,063,222,005,943,
515,275,131,206,399,078,659,397,980,854,564,520,787,613,643,381,006,806,967,
850,804,731,221,496,833,239,777,804,378,989,291,192,635,944,458,555,251,139,
163,671,739,633,833,973,390,096,649,020,287,852,914,698,529,398,840,082,089,
777,970,153,438,325,066,154,737,089,226,630,169,062,924,468,383,393,824,781,
951,869,480,589,726,274,193,065,617,463,523,592,458,382,519,031,478,622,743,
682,879,223,771,786,777,936,484,927,923,014,567,009,000,358,486,503,499,855,
657,956,620,671,508,111,841,298,502,231,980,725,080,146,884,464,235,580,197,
499,870,085,212,518,494,027,948,898,285,435,975,948,218,684,484,845,445,486,
314,592,966,480,041,229,312,462,833,846,690,677,355,202,963,454,778,760,431,
047,304,803,702,075,633,025,645,466,088,776,809,908,900,345,958,847,920,538,
093,461,009,588,214,279,772,169,863,682,043,279,763,745,098,737,099,484,613,
229,671,150,945,511,221,594,077,227,186,912,957,240,850,177,888,012,832,291,
146,166,881,719,827,404,602,730,704,808,345,229,124,951,934,500,370,304,744,
421,503,455,366,599,116,798,365,931,459,838,896,411,118,860,678,023,203,237,
922,424,121,578,946,960,951,820,247,606,108,572,633,424,397,700,404,287,564,
265,432,871,781,034,679,914,795,682,465,167,499,978,685,971,543,078,129,582,
469,807,654,961,148,028,996,142,685,569,727,194,527,499,086,958,438,157,404,
283,037,677,293,282,696,392,733,732,199,898,805,509,604,411,705,228,992,470,
430,123,260,039,659,752,256,116,045,785,127,673,484,086,153,541,809,796,423,
790,279,314,287,842,531,483,415,856,055,836,978,358,243,784,026,431,523,076,
680,769,649,657,079,846,126,608,859,972,381,973,929,635,764,057,497,977,036,
503,445,321,649,932,428,018,133,874,381,091,015,504,610,425,170,113,161,059,
553,983,773,695,107,101,328,365,426,041,709,039,363,445,658,509,090,841,890,
653,263,999,893,651,545,906,643,120,194,698,007,382,459,136,275,495,829,665,
525,665,417,171,105,280,561,085,660,889,210,227,057,815,526,235,659,172,508,
972,022,553,709,931,194,820,780,841,124,545,449,883,834,737,813,219,871,022,
756,749,444,332,497,000,891,458,842,770,175,406,523,769,566,019,217,089,031,
545,840,893,162,815,770,723,507,642,072,007,960,642,757,478,304,140,916,212,
734,620,474,469,186,189,671,828,471,052,818,321,211,364,336,504,801,382,486,
125,110,601,596,700,780,199,731,561,728,804,609,586,877,753,562,554,682,474,
109,988,256,300,135,349,382,475,570,569,150,198,624,632,355,991,427,225,412,
983,340,019,370,730,222,673,212,790,571,146,943,214,341,037,687,101,845,305,
963,672,433,519,102,186,831,815,099,081,438,752,171,102,020,020,668,442,971,
471,053,576,261,930,910,026,285,322,068,358,836,025,496,691,346,388,042,921,
763,620,749,847,512,081,664,904,416,057,783,041,481,059,445,963,894,811,717,
282,981,125,089,033,688,596,179,675,677,521,640,451,795,689,412,645,792,809,
286,758,131,394,169,312,438,339,007,811,736,459,279,934,661,417,074,540,485,
658,942,321,344,553,413,940,906,602,833,404,321,305,378,110,748,524,857,825,
166,245,631,018,838,001,106,456,216,589,676,353,500,389,516,544,485,352,960,
916,827,181,106,121,994,857,076,118,470,931,431,481,691,492,912,672,256,494,
918,884,077,989,681,244,943,301,412,087,470,818,901,798,763,331,283,278,943,
349,300,596,971,673,774,272,272,141,576,821,026,212,658,414,850,269,013,772,
411,675,640,522,421,248,667,260,075,291,830,670,024,219,746,222,719,733,349,
218,182,059,482,424,322,174,214,201,361,600,007,944,829,329,190,563,739,566,
105,389,252,144,642,222,267,787,836,050,591,104,318,704,406,369,243,425,689,
461,727,490,999,269,736,817,935,160,031,570,324,526,307,482,383,051,149,496,
128,353,097,316,292,112,471,956,342,485,227,315,324,512,628,796,061,838,030,
604,642,265,720,874,712,106,719,758,988,455,068,662,680,818,141,411,820,286,
146,997,526,264,556,247,703,909,047,257,279,435,659,068,764,804,701,585,386,
101,111,632,627,031,111,004,129,561,723,430,557,876,671,564,425,632,396,981,
785,339,160,535,861,174,993,475,196,070,052,248,972,813,766,362,532,007,609,
013,309,136,448,356,678,644,608,561,206,084,939,485,716,220,338,793,367,056,
829,944,773,944,372,053,212,316,683,928,253,976,290,350,329,252,697,150,032,
872,799,859,750,187,339,827,717,610,483,510,491,076,409,879,124,282,370,492,
775,032,857,821,070,800,941,017,696,948,700,044,160,093,370,712,120,268,841,
312,476,536,148,163,080,438,557,770,384,181,927,997,319,896,523,328,554,722,
990,778,366,323,554,365,552,540,992,335,891,252,701,131,869,406,324,978,224,
893,489,239,232,221,524,088,895,254,780,596,098,413,152,176,984,583,863,612,
516,936,509,578,292,014,541,133,473,034,021,507,845,310,670,417,943,570,608,
053,620,456,662,199,035,101,082,219,336,834,758,166,716,509,414,118,396,858,
714,158,910,259,554,359,176,920,821,392,773,427,311,335,173,721,359,119,199,
630,302,838,156,314,314,176,058,983,888,926,717,901,925,374,251,755,076,857,
361,310,914,824,879,556,102,139,954,833,422,839,679,385,252,866,658,373,014,
516,326,151,372,816,076,194,193,092,522,486,053,534,970,322,500,179,276,351,
440,161,763,383,470,110,076,267,273,873,693,730,365,553,722,291,056,330,093,
320,307,568,682,496,951,293,579,278,810,649,998,871,781,192,049,468,039,623,
868,531,868,847,424,761,091,404,603,617,807,068,040,036,344,076,233,958,360,
853,380,824,477,527,281,733,809,342,294,542,999,158,411,639,368,661,758,015,
412,422,994,619,893,093,632,406,729,941,166,794,694,995,483,595,663,150,362,
717,974,826,880,905,062,797,291,774,118,663,864,799,015,645,044,409,838,801,
376,059,587,083,444,828,440,231,637,210,078,571,970,859,164,074,067,112,850,
478,505,486,040,286,803,680,463,113,099,844,574,824,283,192,980,129,618,889,
535,708,653,877,859,089,659,923,490,622,976,938,583,561,283,235,735,363,834,
869,368,510,123,464,491,055,359,201,249,550,407,688,821,169,827,253,441,554,
060,491,687,436,796,164,042,350,181,389,259,948,204,588,325,179,007,682,962,
451,260,335,615,239,753,049,807,801,324,405,725,268,080,344,533,631,983,044,
656,638,179,936,934,924,542,570,664,946,514,603,902,140,086,630,686,317,514,
463,253,210,138,878,236,286,525,873,917,564,165,212,192,005,551,368,781,510,
594,050,997,516,565,803,064,808,661,417,865,919,012,277,501,358,594,239,197,
211,505,801,035,800,239,948,780,544,960,793,033,083,972,040,172,518,717,589,
623,579,072,453,080,946,718,354,335,995,255,342,647,251,214,058,587,755,641,
753,496,076,804,577,111,864,623,286,731,862,441,576,226,094,231,076,754,747,
884,136,434,651,163,341,418,617,880,128,364,366,488,682,463,890,140,234,559,
052,185,294,038,846,855,734,492,752,050,149,428,296,374,398,043,256,558,629,
517,836,543,420,601,537,255,850,626,270,022,695,608,305,045,412,898,065,173,
373,487,327,778,846,773,575,126,333,291,619,912,979,328,901,232,166,772,174,
118,707,979,623,713,442,589,807,928,400,348,154,781,635,413,843,506,832,747,
421,314,940,627,496,796,471,918,799,711,146,272,689,828,950,023,434,868,003,
310,476,694,300,592,599,835,660,320,015,837,276,667,189,966,805,836,568,438,
677,046,125,845,876,137,032,284,142,978,539,035,071,473,646,252,097,074,088,
868,990,611,867,997,326,032,760,625,875,684,707,618,820,392,402,644,136,338,
835,314,912,324,719,555,039,108,010,225,118,106,881,519,358,858,922,719,288,
869,471,700,607,459,267,890,855,487,526,989,665,047,430,699,556,008,798,009,
675,123,926,908,268,422,238,994,950,009,673,913,783,626,791,622,758,769,119,
793,853,434,351,873,989,469,525,293,274,376,839,428,714,805,987,962,275,066,
475,713,365,045,282,065,894,500,693,177,949,316,120,878,588,236,518,450,831,
101,258,966,240,668,355,490,644,233,275,703,942,172,137,529,170,902,404,137,
296,810,098,736,159,687,260,628,933,231,222,522,284,131,291,720,690,029,325,
877,858,150,537,035,884,540,149,286,422,540,295,590,511,769,961,518,308,170,
826,893,222,748,058,413,880,433,860,520,244,509,315,179,226,237,545,574,755,
956,794,890,011,587,162,757,979,358,938,332,810,253,876,289,267,250,378,225,
952,017,781,455,578,018,004,765,341,832,688,218,921,018,051,914,439,599,420,
118,070,359,358,586,884,026,595,125,434,624,990,732,438,641,965,395,078,423,
527,256,441,083,463,253,754,840,653,317,181,584,551,797,069,065,296,407,919,
177,364,043,756,737,362,896,990,086,627,019,054,810,238,669,779,587,192,989,
610,133,008,821,484,360,015,653,389,159,602,381,073,324,045,937,984,164,509,
223,540,437,954,826,985,298,489,065,518,491,708,190,447,070,870,452,737,331,
022,561,356,760,878,017,124,556,673,600,567,593,082,420,057,251,006,166,626,
851,882,787,948,343,670,755,581,593,335,118,613,423,534,014,378,882,971,635,
240,985,040,395,303,142,532,478,610,720,162,586,501,177,548,044,441,733,068,
281,976,576,046,161,523,735,476,665,625,219,346,177,600,226,347,645,301,189,
222,412,229,285,620,368,453,273,651,657,043,814,076,058,899,192,443,078,867,
125,509,478,636,138,439,756,715,781,343,832,475,650,428,145,840,868,282,277,
362,422,528,902,700,624,047,673,648,262,396,280,654,482,793,484,070,970,183,
440,679,092,899,121,305,124,181,160,023,914,573,791,984,474,186,572,245,130,
000,681,097,237,872,086,619,907,202,667,119,200,781,334,966,141,292,477,345,
959,856,123,316,327,667,999,681,327,397,522,314,812,607,238,774,871,028,013,
598,559,256,911,834,664,841,660,621,967,580,043,083,694,317,083,229,340,163,
662,405,462,079,388,944,003,777,611,248,209,119,954,508,762,708,074,039,935,
042,787,124,476,932,228,166,205,452,972,429,469,075,854,212,583,466,162,519,
544,612,915,615,837,540,797,502,146,898,348,242,012,598,096,113,716,098,085,
085,767,262,987,720,582,660,271,476,800,858,980,716,350,068,895,215,768,706,
716,649,942,881,367,694,426,798,514,251,772,169,768,316,443,071,370,335,979,
258,122,260,030,180,914,541,191,363,857,594,194,702,403,551,459,916,650,137,
545,104,876,384,465,845,753,348,562,247,692,982,949,104,347,963,950,328,026,
327,994,244,325,578,569,636,187,407,323,522,907,807,964,257,936,656,799,944,
591,339,102,706,116,521,197,194,131,304,263,787,006,393,830,826,259,557,753,
072,621,700,470,919,712,046,525,640,666,668,242,823,067,683,995,878,461,031,
449,605,493,127,945,782,003,675,871,363,900,863,126,907,734,821,115,524,291,
730,578,659,201,169,284,954,481,347,851,767,203,009,629,913,449,276,689,902,
164,243,725,512,271,496,709,911,134,299,166,885,279,247,231,586,468,031,296,
745,786,173,345,952,249,850,321,602,021,499,068,054,316,874,860,188,492,044,
439,127,173,051,713,016,454,411,981,738,994,822,422,085,484,852,689,865,933,
333,657,734,899,598,947,976,175,663,355,204,445,704,650,914,180,996,506,489,
650,660,664,319,702,659,112,219,035,433,714,309,498,306,186,069,706,211,081,
255,112,023,358,969,668,034,004,866,368,273,588,616,225,404,740,584,879,182,
680,066,981,934,310,216,559,667,505,398,947,409,274,732,803,592,590,750,157,
776,897,129,448,210,072,531,488,799,991,315,865,690,821,363,760,244,152,550,
697,272,997,148,850,490,667,765,062,761,180,687,914,272,359,038,511,100,414,
242,837,599,315,299,015,499,478,503,790,894,267,539,193,677,054,495,247,076,
739,100,748,131,751,955,502,560,696,473,457,259,984,344,706,378,397,680,203,
872,129,051,095,873,221,009,544,382,116,236,861,962,536,518,801,486,947,046,
418,324,980,620,499,503,900,685,707,581,012,173,852,207,776,130,740,899,270,
786,458,792,942,034,429,373,016,679,281,392,400,383,427,617,221,473,949,719,
011,667,930,248,382,581,169,003,995,630,586,642,112,204,421,125,827,450,999,
493,519,727,684,589,607,144,740,742,814,112,731,877,367,993,027,007,223,269,
000,666,054,959,242,311,499,806,397,504,086,345,007,733,269,778,969,606,012,
431,938,585,268,699,809,635,854,938,064,382,050,785,273,191,067,705,025,993,
388,093,458,162,638,665,186,386,177,881,223,946,868,507,112,484,727,437,979,
008,007,077,663,013,876,112,350,315,308,045,562,317,663,069,482,100,859,330,
040,041,286,513,728,484,551,311,799,578,877,584,210,106,305,900,514,730,548,
322,393,251,426,977,629,027,565,417,971,817,380,253,302,417,704,049,715,671,
674,394,539,389,257,369,855,397,371,249,359,632,230,766,873,228,175,393,421,
786,425,827,281,660,541,986,722,626,722,051,136,114,579,167,032,318,296,194,
681,429,987,426,250,040,417,815,606,197,634,147,503,806,059,012,865,763,522,
627,680,761,728,297,986,970,504,302,970,230,114,521,602,512,763,464,259,056,
220,588,332,678,459,355,527,263,245,365,719,068,203,963,473,232,171,957,344,
058,526,689,119,880,788,816,497,720,759,492,576,125,720,250,379,647,436,576,
995,850,704,309,435,710,908,918,314,563,933,769,602,184,163,101,526,342,333,
999,053,444,852,471,326,911,345,885,932,435,918,642,136,593,490,773,295,078,
533,345,900,482,320,334,962,066,396,639,579,321,481,319,372,465,340,334,735,
693,040,131,541,068,515,617,097,579,434,683,283,693,715,249,281,950,086,112,
231,028,885,249,351,377,103,536,472,958,204,689,685,447,797,006,646,669,908,
448,484,295,575,600,711,251,086,996,345,567,237,103,399,647,676,094,108,636,
400,797,853,767,805,546,603,188,822,751,053,864,437,396,568,062,534,774,355,
585,303,357,078,644,119,340,597,634,302,967,478,546,729,760,995,353,661,698,
136,289,586,144,550,457,410,543,984,193,979,365,408,045,023,148,138,234,781,
490,560,946,064,349,509,234,168,793,507,484,875,039,263,671,372,023,578,782,
699,609,786,344,338,903,795,198,626,353,736,666,954,967,552,007,077,615,981,
505,100,778,085,912,964,588,479,511,897,768,969,053,946,083,756,233,123,989,
690,594,507,413,130,413,447,018,438,132,554,028,143,384,545,564,901,844,914,
412,779,336,681,727,680,551,575,774,723,568,376,526,849,145,298,595,426,664,
430,530,164,269,775,677,253,068,599,036,095,258,218,448,566,298,772,482,044,
165,985,151,539,106,349,213,452,687,331,316,136,346,040,992,554,003,036,595,
954,628,666,710,855,617,575,965,227,146,366,839,097,310,453,759,777,482,686,
492,865,453,443,652,979,480,973,621,550,351,618,031,232,886,312,106,350,215,
362,243,698,771,745,395,197,879,710,337,406,277,246,175,117,945,408,264,394,
422,549,111,468,692,747,746,986,602,773,995,547,742,187,413,206,893,204,151,
326,366,507,640,241,649,556,923,519,806,221,298,357,850,083,273,321,541,976,
632,421,671,026,598,212,203,528,946,420,256,739,316,474,987,800,585,145,852,
531,549,067,915,936,933,586,973,114,317,045,327,840,509,706,955,127,441,215,
352,365,292,137,671,385,312,239,541,848,134,952,697,117,798,435,074,477,241,
487,288,727,842,363,410,493,755,114,109,978,782,495,270,198,494,398,756,148,
814,350,550,457,945,280,352,031,878,843,715,935,358,324,830,700,857,946,031,
396,908,754,078,453,212,608,297,152,789,108,399,028,334,347,437,007,457,008,
913,444,087,889,902,213,162,213,837,620,260,787,754,610,553,611,940,594,091,
317,629,838,537,082,316,452,179,109,270,422,396,480,237,697,740,097,900,752,
378,378,662,928,966,794,802,543,563,069,694,803,619,273,810,011,338,940,654,
716,328,762,880,138,508,549,265,167,010,734,572,301,018,125,131,525,133,853,
011,920,776,830,054,989,995,388,394,947,162,395,463,301,777,938,416,248,595,
469,015,326,265,823,371,438,462,557,697,126,172,732,276,056,740,713,431,937,
786,151,315,939,042,052,882,027,827,760,133,387,047,580,380,369,208,924,577,
649,568,446,281,896,450,366,716,752,732,340,468,914,664,639,089,098,916,930,
758,550,850,756,587,620,229,976,301,678,704,807,488,341,909,710,428,962,656,
870,454,397,305,167,101,389,006,148,672,654,325,026,645,797,818,036,778,717,
638,320,470,405,702,896,606,948,529,455,325,120,562,150,834,231,950,467,115,
010,618,860,580,929,402,338,069,852,784,942,649,425,373,424,932,631,153,241,
854,984,886,452,247,044,173,189,817,060,780,184,592,453,265,026,639,129,560,
916,591,197,889,881,632,922,448,729,939,411,239,218,369,774,416,982,962,568,
207,596,357,356,198,353,758,629,787,537,713,408,048,374,181,295,480,742,519,
759,451,360,765,841,336,096,488,684,320,293,078,195,815,280,184,627,270,886,
532,661,888,107,985,137,329,809,534,640,158,492,593,494,752,238,441,858,977,
073,760,116,214,247,308,531,983,067,543,955,577,868,351,728,575,623,161,134,
783,561,626,832,863,724,772,769,597,920,514,794,994,084,001,433,801,369,883,
150,775,858,661,172,955,574,236,395,239,312,834,348,527,450,371,783,105,631,
684,800,106,421,838,188,213,614,847,573,797,958,423,864,492,558,253,983,422,
406,149,721,929,037,168,669,844,136,434,526,221,138,129,443,066,326,067,249,
767,896,101,790,455,068,533,233,148,037,141,565,451,953,196,846,242,420,004,
849,610,020,368,055,759,753,037,876,812,099,647,544,225,694,117,905,744,933,
239,256,152,351,750,121,837,525,587,956,286,996,896,177,127,991,360,374,757,
695,484,716,682,745,222,827,961,630,150,292,451,458,111,488,001,952,587,768,
812,687,494,078,616,385,870,207,957,385,030,945,167,969,860,378,398,312,685,
621,596,768,845,302,887,663,806,490,681,670,246,769,730,928,939,130,124,600,
876,239,574,307,852,764,955,093,484,915,604,507,469,579,696,111,530,560,356,
639,486,275,188,524,252,585,127,297,802,690,444,607,064,181,916,339,412,556,
787,858,949,121,363,339,979,555,352,284,810,520,607,837,029,647,651,270,561,
113,295,187,071,577,812,025,836,610,071,861,483,922,546,498,448,516,492,611,
457,979,916,462,854,814,675,400,128,904,571,370,579,997,334,469,600,709,931,
953,855,102,383,437,178,614,224,468,694,163,801,783,074,159,731,970,168,050,
523,875,043,515,337,451,942,201,112,713,131,716,976,780,054,207,117,082,725,
204,519,442,420,610,405,295,572,794,852,062,214,109,577,677,780,185,099,365,
742,812,684,574,598,076,162,013,967,420,078,937,175,059,521,704,821,332,801,
225,104,721,590,804,643,850,844,701,259,425,940,066,967,854,170,855,711,524,
995,513,319,846,212,390,666,266,519,737,827,659,006,376,227,329,627,483,763,
524,485,727,559,472,278,604,065,006,802,749,755,763,802,908,178,707,205,595,
694,587,544,269,014,300,820,822,562,086,629,009,261,469,854,469,716,590,451,
853,078,783,869,425,487,879,251,603,843,951,589,317,950,293,711,545,499,258,
860,081,260,952,465,678,250,331,081,001,416,767,840,242,849,709,247,275,719,
964,868,278,960,781,322,778,630,059,281,166,390,598,689,536,035,904,093,163,
983,838,336,328,300,171,936,844,819,720,007,975,950,364,052,733,041,364,952,
412,042,335,800,870,245,352,832,559,173,581,314,817,802,152,620,511,844,840,
273,933,568,236,402,052,932,606,255,324,941,842,566,417,435,831,701,539,594,
811,162,684,172,557,213,194,550,528,757,452,097,071,666,457,011,621,374,335,
374,114,775,467,837,535,191,855,948,915,216,623,964,937,591,396,483,848,110,
087,545,482,958,574,865,279,319,429,575,111,602,997,152,322,881,998,055,890,
245,823,535,980,976,172,928,745,673,683,313,741,345,023,865,206,310,066,929,
900,627,876,961,633,033,615,503,858,362,284,237,478,462,408,482,746,065,202,
893,641,593,185,022,248,474,670,179,836,321,949,275,083,130,069,676,956,271,
784,349,260,634,714,133,751,847,123,018,794,063,989,857,793,696,405,959,305,
313,389,560,122,634,191,323,893,301,496,165,486,365,733,058,721,343,429,323,
143,865,348,107,890,836,640,894,937,049,595,217,231,760,979,285,388,398,684,
868,409,559,372,789,553,900,289,976,927,886,776,813,363,358,750,383,779,466,
770,873,418,676,538,905,616,068,862,353,516,279,524,238,545,732,958,817,877,
442,588,581,859,653,463,067,405,463,514,377,577,187,591,242,798,750,000,654,
428,570,660,756,828,565,058,668,411,906,278,991,779,977,342,794,626,135,542,
990,893,257,132,775,568,289,006,278,828,518,731,146,703,645,172,041,408,853,
341,754,386,706,187,135,200,697,083,020,087,319,393,064,077,789,971,866,833,
049,204,448,523,684,117,992,373,212,510,015,907,345,480,187,227,725,117,467,
382,689,030,237,969,203,401,607,659,619,710,645,760,679,283,325,594,186,342,
759,300,274,291,146,489,992,620,748,461,177,751,457,984,481,749,934,738,398,
269,082,846,234,167,078,093,946,905,603,475,524,014,005,338,153,919,019,273,
628,946,949,946,127,545,895,274,647,840,986,004,018,951,517,376,276,699,526,
328,038,792,782,238,394,674,748,277,742,533,875,507,997,838,799,068,455,175,
363,849,963,032,971,839,623,789,288,321,874,037,108,322,487,316,844,477,865,
726,044,303,634,113,992,372,163,949,854,998,515,428,257,313,698,097,239,269,
663,154,484,709,518,246,052,701,990,647,040,411,634,973,450,724,000,972,512,
349,698,990,535,991,595,478,618,791,604,790,627,360,659,748,509,379,046,617,
871,776,354,304,092,184,010,661,053,799,081,132,696,731,641,684,362,344,242,
343,401,037,466,888,819,854,290,850,553,703,479,479,297,847,326,665,438,501,
897,612,550,662,480,516,711,517,631,352,150,584,304,720,914,760,994,271,810,
016,706,667,473,415,201,373,061,109,849,259,138,773,557,856,713,617,051,756,
325,100,731,998,655,910,940,057,942,634,080,785,822,688,861,800,707,298,291,
287,212,623,100,716,083,651,726,697,309,993,487,373,312,120,619,695,860,208,
670,112,900,669,162,251,637,410,322,050,520,676,766,515,585,061,074,684,750,
747,906,897,316,767,844,634,364,591,671,630,722,203,283,809,492,603,294,663,
727,073,554,805,667,917,144,259,044,494,374,069,221,323,056,859,352,952,900,
520,685,649,208,608,943,008,696,991,410,927,997,037,471,831,410,329,245,186,
970,228,395,238,781,622,907,774,413,957,135,163,123,873,623,947,882,278,605,
522,036,331,673,303,128,156,742,783,627,078,706,391,366,409,982,664,097,924,
850,006,834,494,778,752,781,843,217,847,046,366,084,218,989,122,341,508,385,
058,086,574,274,529,616,210,594,267,705,210,824,852,680,421,272,577,376,661,
579,942,792,145,608,511,286,966,613,671,005,245,934,193,505,895,395,981,890,
426,858,833,741,482,214,704,380,769,089,436,759,788,221,596,002,923,062,022,
157,567,777,911,113,133,981,627,334,259,675,358,897,947,512,766,221,258,783,
685,733,040,348,786,673,813,806,674,953,373,223,678,022,131,610,611,597,479,
507,818,522,743,683,262,408,270,786,795,631,223,704,539,008,104,346,896,901,
240,216,227,847,474,641,034,445,578,507,336,014,501,679,337,091,130,329,078,
624,865,144,867,725,343,840,236,307,719,833,348,972,829,992,833,949,328,189,
264,177,308,021,706,841,931,851,981,572,787,576,772,010,012,237,605,993,263,
480,106,423,503,614,570,125,817,383,921,779,351,201,863,483,136,104,992,060,
736,148,021,454,718,488,076,852,535,898,436,603,812,890,445,705,138,569,041,
603,920,083,719,157,505,241,292,069,351,604,938,144,411,613,381,499,684,783,
863,432,993,508,407,650,549,971,252,053,312,352,372,170,694,295,839,346,116,
829,474,259,755,413,251,461,711,833,674,571,329,054,004,362,849,826,886,624,
594,308,438,271,105,239,690,652,310,038,200,363,510,246,474,743,257,198,188,
617,958,668,764,140,792,277,310,731,272,040,824,549,041,141,813,648,754,091,
737,063,524,289,356,075,048,203,664,257,039,387,905,653,167,609,214,758,535,
383,589,227,746,215,364,793,951,951,966,969,043,466,319,582,576,642,707,200,
289,816,076,845,572,375,276,817,316,779,420,018,823,283,223,220,586,988,065,
395,227,630,910,294,648,931,444,390,397,979,954,255,493,927,704,751,602,261,
349,557,013,928,734,659,654,961,557,116,486,574,345,885,769,155,376,207,175,
861,262,443,919,073,141,811,654,462,175,866,777,235,819,002,866,658,771,545,
850,622,129,870,281,653,738,857,593,356,851,005,850,800,921,313,921,716,758,
687,250,672,240,605,002,137,966,111,868,276,463,320,690,757,173,191,134,669,
779,984,471,347,928,002,569,117,101,326,314,493,778,948,752,973,766,911,589,
302,272,238,007,623,583,906,698,153,039,672,355,184,135,914,135,313,347,890,
687,250,245,207,934,066,403,305,629,456,055,023,896,367,943,204,366,458,362,
124,684,188,010,265,914,836,596,980,982,506,966,604,503,175,546,658,624,848,
094,330,101,102,168,364,654,269,243,281,273,641,043,152,535,141,378,989,079,
914,822,776,424,996,326,413,054,178,392,088,808,521,330,305,186,233,170,922,
829,829,171,404,638,904,959,488,752,123,062,980,032,424,852,607,737,017,765,
416,733,896,024,018,266,689,809,026,897,972,144,834,345,611,393,149,353,324,
700,486,758,918,352,424,432,881,109,557,244,968,987,180,454,055,199,144,718,
365,134,886,462,158,962,695,691,216,911,333,885,715,404,353,663,522,804,662,
173,121,144,027,134,856,086,226,316,128,946,196,418,605,107,139,507,206,848,
724,918,929,984,864,081,606,860,126,677,814,052,260,387,251,762,300,958,419,
586,690,672,244,988,117,592,741,833,488,507,957,830,758,815,927,602,101,705,
335,261,175,643,116,628,395,670,368,668,379,727,134,781,562,279,190,800,700,
848,227,356,174,245,762,719,493,270,932,006,047,432,833,275,119,157,774,511,
704,800,784,158,915,371,559,428,290,689,204,911,121,068,337,310,919,395,664,
040,487,751,558,345,630,713,411,846,353,118,863,542,599,974,590,770,787,511,
683,193,097,019,659,663,337,000,564,031,540,457,312,251,283,794,209,633,147,
987,021,164,338,703,509,314,057,607,760,671,683,493,579,929,606,865,069,247,
254,555,233,252,973,086,454,090,288,920,633,493,827,156,646,918,185,017,702,
528,462,036,437,800,288,170,764,898,759,353,204,366,931,035,671,951,237,613,
157,509,682,797,038,589,443,513,273,239,469,939,035,331,589,600,801,154,849,
829,867,859,376,541,292,360,451,570,010,399,169,926,004,467,887,019,323,158,
657,540,544,665,810,039,221,184,727,993,182,563,323,001,466,633,145,677,979,
152,075,762,001,055,733,629,577,248,631,847,476,878,402,901,533,247,545,463,
823,800,185,365,741,311,979,594,078,006,600,703,478,430,409,185,167,610,882,
241,083,570,359,317,175,997,319,885,778,759,059,787,425,082,812,516,885,014,
438,182,940,296,877,867,054,201,975,523,966,111,539,002,765,338,242,799,317,
052,719,632,641,221,774,310,315,318,865,595,136,388,435,376,175,789,344,699,
001,638,252,914,199,367,828,087,536,677,172,767,826,968,168,537,702,576,970,
214,440,581,028,502,841,049,621,834,865,482,168,934,488,830,496,528,298,082,
706,511,917,560,543,732,532,399,032,945,317,575,406,101,482,867,315,197,794,
916,926,070,376,699,763,612,721,058,100,828,935,742,622,786,753,290,844,417,
807,227,452,283,071,785,553,985,300,542,222,680,751,618,435,076,231,029,525,
348,624,274,327,413,839,504,463,212,704,406,237,866,326,168,036,313,157,361,
305,888,113,904,631,800,351,480,556,813,928,638,500,775,969,486,985,065,298,
418,647,302,243,247,726,601,267,413,367,225,996,248,743,435,792,075,914,641,
689,763,833,804,177,708,284,060,666,705,164,999,367,982,474,235,663,941,431,
409,322,930,717,550,015,557,435,830,390,677,700,733,969,305,074,491,495,984,
185,035,735,552,108,686,683,196,844,040,835,384,875,721,959,266,464,456,420,
481,580,574,781,992,032,046,981,458,357,374,688,014,587,106,154,221,800,403,
293,405,751,259,501,016,006,668,604,991,057,057,500,981,274,037,780,776,322,
156,205,371,630,166,391,581,140,926,910,452,772,531,341,020,165,486,615,982,
635,366,482,883,953,286,597,267,125,380,222,965,684,679,080,600,912,777,559,
587,822,503,631,806,403,143,380,638,403,749,172,659,897,976,271,275,423,568,
690,054,752,220,643,467,247,647,948,272,589,334,640,443,539,181,870,461,315,
058,564,579,130,713,307,619,829,266,674,850,540,580,958,853,647,059,090,238,
130,093,358,990,238,030,917,044,972,082,753,498,112,179,830,276,217,431,506,
292,715,085,565,262,076,707,882,267,303,586,446,621,058,617,607,232,899,486,
508,853,538,354,430,576,592,126,833,036,383,408,291,876,902,487,490,235,974,
298,362,075,988,497,707,860,856,924,813,682,002,003,291,614,923,293,314,405,
250,162,135,187,672,113,580,509,280,328,560,639,687,011,159,419,072,811,460,
772,725,409,376,358,908,354,262,809,867,169,541,787,205,108,085,043,636,832,
605,664,222,055,789,316,121,396,237,449,668,311,945,053,822,266,204,935,526,
691,016,167,820,643,465,137,532,909,587,169,557,047,701,739,171,101,234,939,
361,245,284,336,554,154,615,705,425,367,716,276,247,528,386,848,921,252,553,
399,774,480,912,638,857,776,731,351,243,522,290,921,049,673,882,035,690,722,
641,052,464,651,948,886,539,999,392,611,495,044,411,883,545,859,264,008,010,
909,548,309,908,889,661,137,453,427,443,542,652,743,896,176,692,612,919,797,
344,183,844,726,264,831,105,011,742,475,078,961,519,724,830,002,281,862,934,
397,696,526,643,053,145,531,082,504,245,650,515,446,907,685,903,639,035,730,
589,239,184,389,424,153,941,646,262,342,705,011,525,805,454,680,766,050,666,
843,293,486,140,268,797,974,266,402,517,422,370,783,530,081,978,512,877,907,
546,770,632,982,235,136,215,382,590,372,907,059,300,668,853,827,730,951,280,
531,683,711,285,060,071,155,138,966,225,209,067,516,921,399,590,389,899,198,
603,830,763,323,414,590,575,833,138,722,813,076,300,515,144,932,076,727,619,
664,777,795,083,982,101,617,002,487,320,778,807,716,593,007,728,102,956,058,
933,133,534,378,077,903,032,667,579,438,365,375,146,734,706,030,188,246,225,
281,719,561,485,582,713,192,044,541,992,589,150,046,325,479,025,358,705,649,
916,846,397,144,610,706,967,283,097,474,341,881,071,744,564,907,973,024,409,
074,801,539,407,079,153,790,070,954,441,856,824,408,912,881,761,174,223,564,
145,622,443,840,794,324,033,158,884,508,891,862,773,534,615,311,230,385,992,
733,187,748,868,130,387,643,233,159,046,129,912,592,403,620,373,363,621,528,
603,730,651,467,205,852,916,773,137,351,047,341,733,421,235,041,814,512,323,
263,482,562,750,548,716,476,655,932,088,988,679,152,855,172,537,071,762,783,
700,312,147,525,697,035,647,574,959,969,566,481,419,538,005,517,708,346,593,
136,725,825,161,275,435,746,952,053,331,588,980,757,790,376,875,720,990,252,
586,907,151,056,634,958,361,597,365,354,963,270,453,347,032,372,802,665,994,
468,124,657,615,306,754,087,856,134,262,998,148,535,777,146,026,649,396,821,
820,729,060,754,659,529,302,418,680,004,194,289,565,647,065,117,496,336,065,
327,774,202,323,914,365,820,720,691,107,646,482,212,187,975,460,950,629,666,
772,838,541,068,762,163,591,102,991,180,265,211,300,577,581,366,026,585,456,
694,624,666,084,654,713,751,094,801,903,384,106,423,172,427,260,415,957,209,
298,066,852,958,634,483,112,857,029,165,097,617,417,173,193,236,214,574,724,
378,274,646,027,709,560,518,498,752,396,220,167,364,145,720,549,451,013,069,
537,984,999,297,674,849,312,056,754,244,249,992,553,369,589,390,365,314,220,
965,095,308,573,791,762,608,228,000,102,316,689,823,899,598,600,196,837,546,
151,549,091,035,333,760,125,409,674,651,158,154,847,910,120,612,365,511,279,
130,552,963,441,383,492,048,258,523,335,734,113,768,171,396,557,974,171,893,
660,552,605,214,517,229,272,921,201,137,231,302,285,419,155,409,609,559,517,
500,392,905,943,878,564,223,508,623,515,373,771,866,695,790,052,132,292,802,
382,010,287,804,951,287,739,684,910,299,407,998,227,377,930,654,905,162,081,
246,617,940,658,954,236,251,311,608,650,114,341,524,993,628,223,975,588,755,
570,075,732,589,086,550,036,936,861,553,256,235,911,151,738,002,987,298,133,
862,880,702,685,405,446,661,172,682,649,580,435,033,938,325,693,437,768,814,
297,223,480,748,120,257,916,709,810,600,678,911,087,096,226,085,510,835,378,
432,285,865,542,658,425,843,022,753,485,590,870,521,366,060,107,127,982,901,
999,085,098,229,193,308,930,106,445,670,573,652,462,255,651,635,116,861,973,
460,288,190,980,702,735,525,528,520,961,421,395,223,060,629,205,259,279,934,
820,884,243,481,760,155,600,338,317,859,550,014,050,172,713,969,843,000,524,
194,098,020,177,927,883,702,579,868,377,632,018,033,232,728,892,731,117,440,
280,949,341,532,876,511,325,972,463,959,989,002,656,230,286,445,782,184,017,
314,480,775,294,546,402,501,870,430,655,604,189,699,481,240,626,594,768,462,
737,200,793,597,654,464,363,245,970,224,370,552,811,238,282,755,348,903,374,
825,987,631,882,008,650,889,897,608,492,584,512,765,278,401,777,131,913,104,
954,238,920,597,424,615,931,613,594,357,477,791,355,973,428,206,623,954,477,
845,047,519,875,348,177,317,339,721,718,565,947,194,376,275,271,282,343,381,
782,578,122,892,606,501,880,697,887,157,752,990,973,267,989,443,049,087,834,
994,139,668,002,453,232,853,872,771,031,144,731,300,222,158,061,452,637,812,
135,949,965,862,646,798,536,291,663,863,286,876,562,473,599,111,750,749,580,
403,549,593,643,430,178,599,098,759,225,429,897,942,907,456,657,473,508,976,
920,010,296,090,460,365,786,794,277,360,676,926,729,069,045,086,520,135,863,
459,092,825,864,223,746,103,695,756,808,394,112,600,525,842,439,016,071,455,
221,074,329,010,743,630,354,858,882,833,721,538,189,572,561,670,543,034,462,
861,016,874,071,433,596,982,195,649,186,195,605,734,320,010,269,387,614,598,
213,954,203,625,926,083,416,160,953,670,485,004,335,301,704,552,134,424,404,
839,377,067,912,815,140,614,625,827,396,324,732,995,876,189,265,838,519,616,
579,193,033,761,824,202,848,028,205,250,422,851,642,421,999,387,610,972,922,
612,940,767,155,185,123,358,236,623,710,122,828,521,565,047,217,461,018,685,
284,576,119,849,096,897,702,203,596,731,136,366,662,981,744,798,537,495,952,
458,545,558,989,870,005,368,472,671,472,120,157,264,083,858,873,505,099,712,
330,848,635,485,415,633,774,653,394,246,328,433,706,994,764,020,245,867,289,
761,111,417,036,362,957,521,784,897,426,056,595,720,847,235,568,052,124,074,
959,779,207,765,370,668,071,295,043,415,686,575,163,465,388,130,448,578,361,
453,192,950,174,236,012,302,623,041,714,033,006,574,609,440,660,003,060,739,
892,521,258,233,144,979,556,078,544,978,092,294,023,883,334,531,666,667,845,
036,354,664,680,853,048,652,667,956,118,698,597,771,618,029,161,987,138,068,
859,170,745,519,255,578,692,055,770,618,541,850,761,032,648,215,383,654,634,
955,517,094,426,492,967,463,664,364,986,254,460,179,050,448,330,831,575,427,
268,643,746,648,950,271,845,770,956,630,750,347,667,083,747,742,952,947,723,
810,359,907,847,149,007,763,376,408,906,439,688,793,225,994,561,532,978,019,
531,087,608,089,140,715,479,466,883,570,742,339,035,813,532,756,181,667,082,
567,875,471,023,511,419,969,250,238,975,894,406,798,767,853,187,177,878,967,
903,096,333,919,545,185,080,526,288,088,059,031,476,115,426,524,727,576,579,
338,500,516,809,263,156,678,022,591,520,958,007,462,858,814,963,356,342,390,
774,207,565,201,495,057,527,937,508,233,420,070,646,841,883,933,497,178,846,
751,834,177,611,739,043,884,345,116,694,249,379,197,778,835,307,282,888,209,
920,642,609,672,836,049,554,947,853,648,741,780,753,804,353,042,619,212,125,
571,609,375,933,261,565,815,084,856,280,975,949,261,245,932,747,985,674,954,
094,337,555,972,251,868,667,982,805,228,062,405,986,328,807,688,313,444,081,
389,079,606,025,075,954,361,313,659,665,186,688,262,582,671,171,185,429,903,
087,155,276,658,343,356,891,304,706,881,925,201,306,889,787,474,232,571,206,
354,964,319,413,567,385,016,207,963,494,098,489,201,470,326,266,618,636,511,
923,363,302,918,173,578,025,245,726,913,027,218,078,528,274,158,182,172,232,
935,742,722,475,728,341,392,391,295,623,749,859,557,773,117,388,009,772,444,
555,150,276,826,629,912,035,065,463,488,090,441,217,335,067,813,536,228,765,
861,942,368,693,139,822,875,001,231,738,373,245,983,959,385,750,914,779,460,
802,711,513,076,803,040,358,741,552,146,445,705,470,381,527,151,701,609,096,
555,173,391,406,669,746,419,636,847,897,174,958,325,764,173,091,147,340,434,
009,619,017,092,965,335,072,992,479,237,556,232,053,607,841,568,276,257,691,
333,001,898,548,797,727,627,411,876,644,345,215,393,702,927,901,482,993,835,
418,303,139,431,604,656,141,253,819,063,986,250,036,396,825,122,073,026,021,
229,723,720,026,835,381,455,632,898,984,964,730,685,534,118,524,902,036,139,
505,255,832,154,096,059,499,416,184,572,420,167,528,370,271,567,771,300,530,
240,566,392,717,986,239,822,024,521,505,140,744,009,114,779,580,058,169,200,
810,196,370,366,064,398,931,627,512,511,096,140,186,887,407,108,773,911,841,
452,812,966,236,873,035,449,023,826,231,345,663,252,230,837,574,270,463,566,
859,610,924,905,993,084,226,852,189,734,170,596,407,399,294,504,748,048,521,
486,454,339,183,465,177,511,052,937,761,746,424,262,226,467,311,274,257,327,
678,710,055,154,915,120,211,746,683,933,927,446,242,587,575,802,687,995,732,
585,120,441,026,391,608,033,825,608,928,258,907,862,145,369,387,879,095,709,
936,427,457,008,485,818,526,015,362,175,845,104,281,805,803,865,269,210,422,
334,060,792,196,831,118,737,138,196,401,402,630,046,211,314,087,118,800,154,
407,020,520,731,027,521,013,852,843,111,043,171,726,585,346,459,326,867,946,
826,951,513,523,291,326,078,597,133,024,975,974,989,092,529,382,395,708,315,
098,794,810,521,582,708,671,992,305,602,652,807,658,172,766,993,901,787,322,
025,789,707,624,228,072,630,145,513,810,304,201,563,575,654,750,555,069,764,
422,170,678,358,794,539,383,898,072,000,792,107,186,297,968,826,394,655,524,
927,419,392,352,918,315,883,289,493,459,928,731,715,264,451,282,773,786,045,
764,066,951,843,858,735,046,592,161,202,123,131,090,941,363,169,235,142,699,
821,164,014,660,602,774,139,304,936,600,089,528,829,395,937,730,859,172,787,
248,995,198,323,570,024,128,905,643,691,096,614,569,935,827,777,716,515,360,
292,024,412,992,685,649,579,852,040,474,203,266,028,304,848,496,378,204,325,
695,369,278,564,686,011,438,027,515,018,265,890,816,604,588,822,262,808,705,
643,743,366,031,819,857,197,826,118,522,946,466,092,336,483,586,031,961,391,
601,513,813,450,519,757,314,731,897,079,429,114,884,904,953,813,081,393,816,
058,376,454,516,283,147,360,295,609,158,246,674,520,962,132,975,544,346,938,
075,522,593,461,355,835,492,304,736,551,000,551,675,452,003,570,601,504,364,
314,676,687,510,520,818,919,459,496,023,825,391,097,491,860,981,821,141,829,
277,474,179,093,943,962,478,442,433,848,114,350,740,048,968,635,003,485,099,
163,803,200,482,382,771,489,672,083,799,976,183,010,417,604,612,358,237,812,
049,707,213,226,556,283,549,408,241,393,001,395,558,958,548,315,141,207,357,
988,807,959,425,177,306,132,755,135,143,483,912,533,373,700,392,641,823,808,
865,507,810,027,848,423,907,432,180,979,729,688,221,507,143,642,288,585,662,
467,923,187,300,149,915,717,660,351,541,884,333,521,020,523,456,575,627,572,
711,383,268,860,888,751,112,242,186,973,265,259,428,854,528,740,284,894,869,
527,931,782,939,974,317,324,795,752,110,122,445,363,797,605,838,509,336,747,
360,047,092,656,176,592,748,529,856,518,310,774,517,294,401,225,066,569,599,
455,017,082,119,351,564,123,033,211,014,710,062,283,036,724,659,152,929,955,
079,615,149,517,114,009,227,033,018,607,504,509,764,442,373,167,806,584,012,
715,379,530,608,620,393,896,707,034,992,429,821,026,849,691,119,510,264,236,
527,907,655,890,815,725,557,789,005,479,234,364,548,385,590,309,938,971,050,
884,764,328,419,063,105,345,908,484,278,858,246,948,156,653,954,156,365,102,
900,378,556,315,461,242,210,534,934,659,755,732,665,847,839,684,969,024,178,
784,232,367,469,324,481,113,554,606,855,532,548,794,050,113,442,208,260,754,
923,107,020,432,632,706,781,147,469,999,331,150,771,779,538,516,674,555,883,
855,902,799,510,080,979,964,604,319,582,174,388,372,889,098,348,452,767,622,
850,851,936,885,766,029,084,164,791,770,305,061,773,512,471,482,085,708,853,
087,857,110,366,110,974,482,383,722,408,394,760,099,919,011,871,050,304,475,
562,223,004,395,807,904,164,049,254,285,786,371,140,989,011,351,945,369,686,
069,516,987,840,424,850,239,724,812,036,233,221,119,929,149,009,295,369,774,
123,027,199,492,299,341,552,546,749,340,453,846,647,141,712,290,304,349,596,
540,531,576,684,551,556,201,986,480,645,714,863,007,215,001,875,536,006,431,
941,647,784,505,670,696,909,614,802,038,594,224,286,995,635,200,176,179,505,
175,679,244,897,752,265,586,508,521,164,486,069,050,084,028,339,602,339,179,
347,300,222,062,385,673,147,163,106,068,093,476,069,965,198,616,663,281,856,
168,046,236,345,953,117,047,768,041,468,031,587,666,947,951,361,681,396,780,
551,222,126,366,524,327,423,093,399,164,149,981,450,111,755,234,434,390,040,
137,454,243,047,679,593,282,570,504,330,501,498,520,700,333,592,100,788,127,
033,277,345,080,828,387,286,066,179,073,741,956,473,833,407,896,796,026,792,
037,541,971,003,288,898,885,239,456,366,778,909,505,744,175,282,068,544,963,
850,864,333,915,663,218,787,645,326,518,068,832,681,684,788,044,890,018,297,
214,117,281,693,448,200,910,069,981,849,107,665,144,998,278,850,935,960,292,
923,332,416,601,105,973,972,629,912,128,685,757,499,217,556,016,934,697,566,
121,649,962,330,501,065,125,148,894,885,374,549,742,143,705,688,076,615,685,
217,114,074,500,635,428,459,263,428,071,312,242,052,991,017,042,138,313,871,
706,037,501,853,622,153,682,884,454,601,714,973,265,328,196,765,130,378,702,
246,323,559,830,974,538,968,773,666,665,342,678,572,887,665,668,406,970,775,
682,833,026,784,642,301,095,445,867,829,541,474,900,855,844,948,440,657,277,
089,644,813,365,543,889,122,200,932,972,080,463,920,948,680,009,304,912,372,
645,005,840,848,949,331,054,691,857,176,203,606,215,816,894,507,308,899,879,
060,877,820,466,559,872,403,995,625,170,012,710,476,075,383,983,693,824,415,
913,947,500,768,454,426,365,058,578,645,239,118,791,979,903,175,649,065,072,
112,810,688,749,006,110,613,623,636,626,468,204,434,396,815,348,531,252,626,
835,701,946,849,437,615,280,397,980,641,586,139,054,458,021,601,143,236,097,
427,737,155,328,356,236,560,203,908,744,099,273,422,406,197,411,974,953,118,
434,534,057,290,077,561,595,452,897,897,007,436,129,454,659,413,281,014,082,
869,064,435,809,235,108,144,057,613,559,138,712,144,909,375,677,032,701,327,
238,588,850,458,480,242,022,891,134,475,531,832,850,463,223,946,258,848,822,
549,628,767,454,128,457,716,120,090,788,446,381,133,465,805,433,522,435,583,
599,669,759,323,062,432,331,634,136,808,697,698,040,864,736,029,507,674,715,
121,735,746,060,867,894,104,170,305,556,521,494,902,110,696,261,329,397,297,
721,460,696,632,276,346,230,371,909,749,618,700,522,508,598,732,527,723,364,
240,078,323,981,101,237,381,873,666,066,011,933,670,004,627,752,627,392,272,
096,022,603,963,410,444,045,892,244,272,894,066,647,553,956,545,954,869,009,
647,966,901,648,989,982,559,334,699,615,724,119,175,197,752,637,550,486,799,
380,542,321,887,498,372,707,025,112,184,618,846,123,087,640,436,771,302,747,
100,342,302,101,721,401,443,091,676,232,681,398,441,155,590,803,189,509,373,
521,860,002,678,200,012,026,226,467,064,354,296,789,137,059,896,397,390,230,
640,421,448,040,655,602,415,968,171,929,113,462,465,021,438,374,766,339,529,
658,128,406,894,478,288,580,632,586,795,274,107,132,823,631,261,788,227,758,
406,243,703,622,571,979,465,145,046,593,842,131,965,395,281,477,155,975,593,
900,033,515,230,188,800,504,348,420,139,717,867,602,323,732,728,050,990,232,
760,931,387,898,260,311,253,337,724,097,555,309,191,613,420,191,190,547,816,
686,212,116,197,326,332,406,063,954,114,738,483,339,588,446,088,402,890,766,
628,598,100,745,217,024,961,305,238,244,353,550,102,084,533,044,598,452,155,
596,987,546,699,679,458,936,049,105,527,954,581,816,460,424,738,636,883,273,
950,251,436,273,625,155,114,474,854,642,955,761,438,731,334,556,568,559,727,
096,316,737,997,057,400,525,578,331,575,115,864,757,073,859,960,682,460,673,
440,120,760,798,160,938,632,449,936,344,765,319,656,476,824,149,461,931,050,
420,398,108,347,098,681,018,103,650,597,045,829,866,749,505,635,127,777,346,
435,079,978,408,645,473,508,909,356,391,260,108,639,734,724,141,989,846,036,
714,010,657,018,054,772,636,104,212,672,610,813,714,775,319,299,233,470,311,
343,861,494,097,912,662,473,255,316,306,092,876,010,344,275,298,187,282,183,
834,395,226,476,801,789,212,839,259,183,593,631,608,832,334,956,276,446,396,
384,811,890,237,703,068,012,713,861,371,260,709,772,344,814,231,143,736,133,
986,256,377,651,121,666,553,779,195,356,291,291,833,710,622,794,585,699,931,
272,389,011,438,010,565,959,603,182,858,082,273,539,888,672,022,185,978,076,
391,928,135,319,673,356,658,670,456,132,368,566,686,724,688,377,918,724,122,
987,486,193,819,308,037,296,760,200,402,488,384,063,226,308,060,480,412,662,
300,743,435,083,380,724,420,040,900,234,283,177,112,960,451,597,825,753,578,
330,304,282,579,299,810,871,063,796,467,863,014,892,937,618,580,805,951,658,
039,550,224,846,917,917,380,660,713,026,902,906,867,010,269,373,270,772,952,
031,166,591,155,037,915,891,798,384,032,607,474,678,867,616,443,142,621,621,
324,935,051,904,083,206,554,180,930,175,751,222,766,076,359,262,779,976,404,
739,411,387,560,075,829,596,677,648,737,428,088,784,164,275,296,867,099,899,
885,411,943,558,813,647,117,771,667,073,679,575,475,258,977,023,437,373,288,
186,283,590,403,570,803,132,461,376,657,364,202,377,739,106,340,958,479,999,
015,422,335,040,360,049,633,027,262,814,211,991,389,981,949,895,956,274,268,
392,253,908,072,639,755,799,246,378,400,051,388,947,580,848,430,355,508,830,
733,589,611,880,108,014,161,580,405,452,814,665,290,928,405,052,729,320,159,
100,549,051,339,732,575,567,596,457,415,477,825,527,084,567,680,704,294,061,
009,846,472,321,767,529,722,429,728,538,866,035,307,778,373,901,006,556,164,
681,995,127,981,823,778,890,230,656,483,192,951,664,363,809,935,636,844,972,
437,818,434,898,300,226,713,433,333,087,127,656,112,339,888,724,565,262,530,
451,722,181,191,502,246,833,604,527,268,685,468,402,537,847,252,138,283,006,
533,665,056,251,025,723,635,339,164,149,532,027,350,435,382,170,961,346,998,
729,443,358,384,029,696,489,228,024,031,163,840,882,477,204,439,306,038,733,
026,669,161,330,712,818,879,671,782,364,660,003,786,284,353,839,691,846,895,
208,084,936,746,290,449,867,360,870,887,476,726,675,523,053,859,455,555,947,
508,955,841,829,319,001,464,357,721,583,628,413,297,685,932,975,828,022,423,
848,732,047,412,398,244,959,630,419,887,347,516,385,494,191,937,858,304,361,
650,616,096,877,647,076,656,058,604,329,918,185,461,500,225,671,648,410,820,
837,081,179,483,641,735,321,044,685,165,528,829,451,189,540,668,455,638,705,
038,022,010,060,738,083,461,148,358,552,294,182,527,966,151,462,526,217,422,
454,219,191,683,280,612,442,567,003,697,267,910,821,853,720,826,772,810,302,
129,875,494,753,395,115,788,045,494,301,521,368,919,983,096,173,445,691,809,
027,981,403,276,681,536,884,682,492,885,332,209,063,584,585,357,463,631,727,
251,348,659,780,313,746,408,343,572,838,957,017,125,474,216,756,050,287,865,
794,167,564,446,856,094,146,674,601,485,148,134,084,386,206,177,421,407,112,
441,110,690,213,766,373,316,165,280,082,548,945,018,817,376,521,118,700,066,
963,733,498,882,340,691,333,342,857,607,378,921,399,269,736,461,097,916,246,
174,611,156,914,952,297,017,818,135,696,721,361,094,170,900,033,590,287,883,
526,461,867,195,396,306,069,406,234,076,129,792,890,472,131,907,980,067,164,
774,609,789,485,811,377,303,995,428,686,735,987,538,619,988,049,450,034,104,
959,404,704,141,765,359,605,812,346,731,152,161,981,212,350,365,798,325,802,
437,604,414,592,345,468,197,835,870,719,878,200,161,296,953,572,703,247,524,
649,252,160,248,891,235,213,314,943,561,602,073,422,386,665,188,427,731,853,
363,833,495,457,554,061,629,518,945,354,500,323,709,363,387,388,567,654,454,
182,631,714,894,965,096,002,979,431,264,129,643,960,037,700,174,989,900,840,
871,331,522,717,933,091,744,401,816,628,192,106,626,707,092,222,809,656,208,
301,022,775,905,132,026,303,283,804,207,290,514,779,154,856,465,371,316,227,
095,215,627,234,174,727,284,384,746,890,122,529,481,534,812,212,716,316,680,
336,472,067,452,585,334,717,752,155,175,937,002,684,074,779,162,834,978,113,
701,667,590,387,661,383,095,146,469,345,918,397,857,539,720,536,320,646,453,
326,543,436,598,128,521,670,599,338,920,251,812,516,336,905,690,059,132,383,
195,838,449,606,499,534,769,728,613,044,869,531,594,603,103,411,326,815,085,
135,658,531,597,153,955,406,395,601,876,376,045,921,217,824,417,505,774,406,
994,526,801,072,823,639,278,753,326,384,160,932,121,348,440,698,013,651,201,
787,640,311,263,911,230,255,603,202,310,573,481,028,534,932,797,013,225,445,
400,588,137,006,677,629,702,361,915,211,004,676,578,147,915,643,518,233,894,
781,130,754,528,456,302,758,006,368,449,635,671,930,849,052,572,435,733,539,
931,618,441,324,814,376,782,078,610,647,323,248,383,685,009,129,003,227,159,
365,998,768,864,856,011,352,973,354,933,663,038,679,129,969,102,258,365,273,
443,317,729,627,364,079,494,302,282,344,440,563,750,744,424,461,946,586,055,
912,586,767,919,339,485,548,255,851,480,767,788,696,138,646,366,976,384,831,
810,444,549,692,287,685,551,916,984,847,023,553,182,698,624,078,213,949,412,
331,812,124,672,096,258,759,237,262,526,893,868,291,472,995,886,252,170,757,
438,388,409,405,743,301,629,128,717,803,451,869,456,584,452,381,936,496,455,
959,451,382,853,574,704,204,981,724,807,738,208,880,667,019,272,095,438,277,
154,273,319,106,109,578,782,008,597,522,342,716,931,649,082,728,420,840,572,
949,088,490,870,193,159,271,495,815,829,289,909,264,019,090,487,891,882,064,
981,188,608,222,618,372,645,454,435,022,498,659,696,845,406,882,358,229,715,
625,547,635,443,576,291,209,778,153,451,437,331,914,325,636,847,909,695,821,
627,131,525,120,458,389,245,430,758,296,147,111,845,444,127,826,577,521,048,
456,269,343,486,329,008,607,858,697,723,767,729,399,629,381,380,768,949,102,
999,800,208,482,371,138,203,982,691,255,322,124,687,315,974,972,631,577,647,
348,719,748,770,543,994,842,840,628,175,874,025,537,753,499,158,670,807,866,
785,657,162,503,144,541,970,614,148,009,345,859,273,519,212,049,680,626,205,
579,334,965,391,653,695,615,227,297,175,285,461,897,284,766,112,061,093,926,
735,286,989,781,209,012,251,020,279,475,459,117,308,600,974,840,532,273,912,
840,593,762,862,522,913,980,697,450,592,108,818,819,663,323,235,315,294,406,
501,726,851,995,437,593,828,461,931,090,166,726,697,266,494,193,507,712,918,
356,827,398,761,411,892,526,515,799,355,980,397,201,403,248,748,066,000,488,
851,113,832,253,653,772,787,194,864,760,685,580,561,397,291,166,939,596,223,
532,685,221,739,756,400,620,460,152,269,900,936,191,061,967,857,994,865,100,
345,434,524,526,917,753,640,585,331,008,285,096,464,990,221,414,511,777,292,
901,447,437,696,826,845,546,690,163,004,535,322,003,169,591,161,136,327,457,
792,028,455,283,020,690,791,369,277,052,143,834,990,663,211,439,825,971,355,
124,844,456,924,829,571,031,317,990,273,949,995,353,482,967,123,850,273,496,
861,255,126,314,479,470,357,484,485,140,084,236,689,018,990,668,469,322,762,
817,345,802,682,773,412,128,255,834,764,156,599,724,788,762,667,498,472,950,
041,479,935,466,055,421,862,405,026,346,631,789,382,090,473,221,046,775,380,
674,144,242,889,117,497,360,425,380,787,820,528,682,003,779,402,888,182,870,
542,319,519,700,659,438,718,754,849,219,263,786,154,675,324,038,856,584,386,
680,463,100,755,031,741,628,750,150,338,019,730,155,030,386,231,236,162,372,
961,393,663,515,685,359,390,206,807,625,533,241,526,186,064,150,012,196,360,
491,373,251,181,611,981,472,744,366,632,561,873,321,625,838,748,610,889,665,
464,527,501,281,186,312,293,077,242,378,481,497,463,848,740,061,044,192,128,
217,783,072,519,218,298,678,469,754,579,506,776,990,622,920,785,365,988,205,
964,294,308,989,815,954,611,280,970,466,985,018,409,709,664,292,824,865,081,
468,519,772,029,079,299,272,442,661,241,123,918,447,760,878,885,710,022,852,
961,112,686,718,810,413,720,296,951,039,544,369,320,335,338,642,427,031,192,
224,459,591,883,028,821,049,223,521,116,095,097,825,018,257,235,503,828,453,
481,306,044,624,344,392,943,746,340,359,512,974,830,414,678,709,952,398,334,
769,929,020,337,505,273,131,153,423,427,673,006,159,851,343,473,661,819,938,
089,855,658,200,811,333,245,076,463,173,536,703,431,168,704,046,747,983,854,
778,187,751,643,793,610,985,661,984,920,971,957,364,184,687,414,238,813,002,
182,639,994,508,536,517,967,299,738,999,570,412,759,272,240,149,526,591,327,
237,764,689,044,692,585,046,456,916,726,424,258,112,787,209,119,002,884,948,
944,964,261,165,369,708,056,802,306,838,756,457,838,369,987,139,838,545,374,
033,740,383,147,483,241,585,841,216,769,124,815,478,063,133,348,085,523,620,
144,184,787,715,433,864,982,988,402,944,143,968,895,169,312,085,087,985,345,
727,572,804,383,734,754,912,057,095,633,380,221,323,992,592,817,801,621,173,
594,554,973,403,521,962,734,634,357,003,156,548,901,306,519,129,385,165,288,
426,829,789,506,219,205,513,029,745,755,121,271,835,147,357,501,715,599,575,
188,308,849,562,287,681,489,864,147,927,117,611,222,599,452,903,745,270,676,
605,778,737,198,064,768,597,493,349,040,154,916,575,439,671,213,960,060,085,
914,985,307,903,703,314,050,498,227,627,115,094,832,871,528,206,401,119,532,
881,409,804,504,487,264,550,191,949,982,197,925,191,807,723,280,482,972,656,
829,985,259,416,097,708,850,734,962,501,710,189,444,951,684,557,477,704,491,
370,195,772,870,156,760,304,728,867,282,653,940,095,935,481,014,116,501,970,
401,778,621,220,947,354,157,797,572,524,150,083,071,681,922,171,393,639,960,
017,996,841,233,711,123,190,358,150,455,378,768,925,107,860,209,741,077,207,
189,678,223,386,611,398,746,449,823,818,553,277,644,540,315,370,763,251,064,
458,070,156,800,931,884,246,703,452,667,915,336,798,782,230,702,724,890,212,
018,377,511,016,271,939,011,210,286,818,137,564,302,551,518,879,591,617,114,
467,828,433,439,330,872,354,675,305,472,477,469,453,197,323,219,227,536,699,
784,334,453,632,166,208,390,962,089,404,094,794,546,574,186,883,618,979,038,
927,927,928,443,327,512,253,844,431,182,762,336,837,188,176,033,080,294,268,
434,872,598,663,933,297,134,014,574,127,807,988,559,814,094,240,061,147,740,
479,223,790,089,262,446,777,832,524,001,785,617,031,769,399,882,314,183,428,
676,717,402,446,237,595,730,905,439,579,808,971,332,802,044,905,036,250,311,
877,044,663,730,286,344,119,426,098,213,749,247,893,905,804,196,721,751,504,
923,012,808,497,577,219,436,371,593,111,656,723,247,781,451,897,095,311,938,
943,441,135,130,232,662,630,619,097,951,832,716,740,150,913,317,157,422,366,
552,515,240,097,395,158,660,517,937,963,252,769,729,361,784,183,766,785,336,
662,875,493,597,318,318,337,423,101,551,527,462,569,276,487,323,668,187,741,
476,313,181,007,692,268,159,601,261,623,318,935,092,344,081,811,689,304,935,
521,132,709,596,656,019,593,531,846,615,857,597,089,202,322,359,176,567,841,
323,625,207,349,590,073,785,199,536,490,112,524,357,035,822,256,726,962,555,
231,214,734,031,321,313,874,085,976,914,497,553,751,800,773,129,188,553,638,
518,128,080,137,432,640,613,717,690,364,291,311,570,301,013,179,059,502,012,
861,213,356,111,814,686,751,475,919,983,777,869,592,007,748,360,432,212,767,
536,591,835,490,217,604,723,307,659,532,039,437,663,955,035,088,257,700,499,
279,019,152,327,182,700,419,293,727,568,588,576,325,661,261,332,620,198,325,
561,818,949,993,722,650,968,779,006,870,037,834,250,736,847,051,271,851,723,
055,585,559,303,783,368,650,380,033,076,587,117,985,995,248,623,519,813,991,
560,158,827,382,518,862,662,631,758,070,679,190,857,506,326,204,314,902,051,
131,776,345,610,654,817,009,734,027,286,260,518,716,005,489,173,345,734,128,
241,929,959,655,564,394,325,024,095,180,418,413,494,860,406,187,052,766,384,
031,324,066,461,526,479,582,690,026,749,040,943,292,039,464,342,259,534,911,
078,190,492,485,664,398,833,020,839,972,543,860,624,022,188,289,557,952,398,
147,447,307,471,938,966,505,626,184,662,019,923,625,554,691,890,731,203,742,
002,550,369,484,084,891,878,905,305,528,209,628,973,647,800,285,349,253,795,
536,713,477,604,414,693,569,600,795,920,450,051,911,372,505,748,876,310,709,
093,766,662,948,139,843,788,344,112,012,703,976,933,902,814,055,760,141,995,
845,138,507,412,810,946,897,513,718,974,932,784,340,049,510,912,137,671,078,
696,618,511,744,363,137,040,626,202,973,114,138,139,321,075,571,868,829,181,
715,491,153,018,097,912,801,845,847,059,471,819,414,584,001,726,958,297,870,
928,307,544,484,732,301,480,674,510,729,769,434,578,090,067,330,930,849,705,
924,580,194,291,165,781,730,251,290,859,448,899,517,547,663,046,617,013,151,
284,495,213,911,072,134,294,450,218,392,521,367,590,459,040,845,454,055,850,
840,214,662,840,207,582,460,713,196,658,341,006,746,327,839,801,705,855,533,
388,187,294,787,770,332,194,383,508,496,475,892,989,566,015,462,540,920,746,
669,487,213,683,670,930,595,196,590,867,808,915,922,185,851,473,113,417,671,
120,880,048,917,393,834,248,337,771,229,123,275,409,282,157,312,577,222,070,
848,048,490,074,273,624,856,022,312,608,904,986,671,752,364,422,479,177,129,
734,590,034,640,966,130,203,832,506,719,491,981,901,270,598,055,007,010,849,
900,049,861,176,445,773,611,559,931,901,480,355,508,236,417,958,487,844,920,
013,950,373,731,049,050,666,918,763,199,695,939,691,164,360,951,610,711,193,
812,062,913,292,402,338,833,958,162,628,954,462,961,033,695,737,127,303,185,
971,205,624,139,484,364,202,251,151,471,431,995,832,746,894,448,229,577,823,
594,353,658,033,242,136,317,227,714,200,062,174,362,607,504,133,994,521,925,
139,833,006,792,401,994,836,438,355,783,052,090,950,394,255,922,544,120,333,
451,699,738,742,045,495,699,482,139,297,444,403,416,836,468,206,630,359,558,
195,567,930,314,344,618,194,743,513,656,078,689,937,407,746,251,427,903,828,
851,228,228,389,771,252,027,625,533,954,540,656,800,094,297,679,499,534,088,
503,542,191,496,725,123,487,469,608,052,170,216,028,079,723,499,275,246,159,
702,011,717,642,607,457,799,336,978,936,796,425,217,545,228,126,178,807,402,
820,973,443,896,640,839,422,937,380,134,472,333,613,580,626,615,356,009,503,
001,881,639,050,500,703,152,737,191,588,999,364,435,730,377,041,782,104,790,
566,579,674,766,992,483,411,204,520,228,483,689,794,805,521,853,806,289,728,
591,168,929,044,251,442,188,310,433,093,134,241,054,233,248,406,776,004,883,
466,463,910,079,919,682,955,304,405,923,885,868,923,660,264,722,566,141,040,
096,451,594,837,668,328,146,066,568,364,865,137,895,412,069,317,566,008,192,
519,910,049,734,160,241,271,041,001,292,414,622,928,315,021,968,060,481,673,
660,071,140,165,240,262,873,676,519,121,280,872,289,502,184,550,001,729,500,
853,533,799,534,325,457,238,776,659,550,095,305,040,912,359,104,980,178,443,
299,732,959,673,221,206,023,262,789,629,713,227,941,129,796,095,638,212,965,
340,552,118,959,343,098,273,407,574,005,763,817,525,123,521,989,951,814,958,
525,118,981,819,719,541,926,187,251,997,774,135,639,000,391,264,364,427,420,
568,331,540,606,381,700,661,476,317,379,570,747,462,576,666,898,668,557,966,
638,738,971,872,891,951,921,447,582,974,746,120,833,824,058,266,125,816,745,
540,834,794,752,147,738,631,099,576,743,326,219,619,934,621,149,621,439,617,
697,036,610,798,225,599,769,678,957,857,942,838,080,340,402,473,063,414,365,
664,786,133,743,868,198,406,599,909,351,862,601,086,087,217,329,164,174,029,
111,917,603,778,601,499,599,763,379,487,915,524,600,001,094,245,456,012,193,
533,588,703,107,206,724,635,006,726,094,449,720,551,284,786,886,448,111,499,
569,411,114,145,491,425,314,653,677,369,725,841,367,383,786,502,455,550,909,
368,603,287,357,681,696,291,918,608,965,518,901,405,150,979,999,298,076,954,
143,481,918,613,347,522,703,004,255,000,115,845,490,420,716,493,896,677,146,
472,761,830,395,716,159,395,705,018,309,035,290,132,772,545,094,102,389,528,
856,096,256,665,575,969,140,407,227,745,404,239,932,829,658,645,446,805,381,
433,026,132,619,654,579,613,210,675,054,431,747,544,925,505,959,928,501,714,
428,227,224,330,537,803,657,684,614,961,690,351,537,983,065,530,834,955,876,
013,592,336,633,287,265,223,219,496,456,994,590,651,644,113,119,223,650,104,
807,270,743,451,690,228,448,395,686,150,010,003,500,198,255,185,594,570,979,
913,631,791,779,805,506,447,695,141,568,029,356,401,002,492,395,588,931,313,
588,311,127,325,006,572,950,483,340,652,750,837,006,184,152,786,886,986,019,
084,536,529,836,000,352,207,111,971,684,390,866,016,876,755,569,174,977,522,
183,353,764,800,629,137,175,953,468,453,620,338,013,636,400,076,535,679,807,
215,333,863,352,996,778,973,061,186,961,676,452,618,478,125,369,337,404,901,
228,261,166,063,609,647,066,452,921,405,545,145,438,605,589,521,616,876,898,
724,185,814,988,392,121,025,471,350,505,858,319,147,729,245,043,906,983,721,
396,048,307,228,993,064,499,784,467,931,984,018,351,847,664,169,804,379,425,
664,840,521,853,769,203,052,661,534,773,220,669,318,992,525,506,561,899,802,
760,327,834,748,870,752,591,983,740,660,051,765,470,328,468,717,518,469,585,
462,152,765,079,207,132,125,412,443,771,501,774,839,943,413,331,144,288,423,
432,642,373,372,867,754,640,849,075,799,851,307,521,314,610,930,722,821,765,
431,564,485,720,860,363,011,712,773,308,595,070,009,745,312,500,043,763,181,
558,203,251,995,364,734,932,261,129,973,957,720,391,164,565,760,392,627,279,
343,013,798,159,793,290,160,775,195,419,477,831,183,199,549,780,057,625,088,
319,051,472,792,500,875,520,681,089,101,229,820,946,915,598,561,990,316,539,
025,585,494,435,867,999,429,037,805,647,850,738,076,403,631,397,225,359,604,
261,652,977,116,509,711,617,438,597,189,896,116,496,405,019,104,641,241,115,
669,069,160,125,264,715,350,950,151,688,417,009,842,553,078,611,557,333,319,
262,136,607,996,544,149,848,468,650,512,051,591,723,088,032,419,912,288,866,
663,072,193,609,230,121,123,889,247,410,643,668,518,704,697,681,627,839,566,
880,527,915,884,733,376,890,591,903,601,050,888,283,589,780,229,801,208,406,
765,066,334,962,449,348,978,839,556,337,857,813,992,858,972,976,723,777,409,
699,981,666,096,375,095,829,077,222,104,098,757,395,356,043,794,086,817,582,
584,684,559,276,516,520,755,378,751,918,780,140,974,942,997,574,910,205,694,
957,838,538,546,538,269,752,760,356,881,224,909,612,411,919,154,851,237,207,
204,065,211,332,237,469,954,465,974,000,400,242,804,675,692,544,075,598,074,
831,639,958,394,061,402,464,468,822,077,713,577,304,533,082,672,341,566,441,
767,507,612,809,545,490,892,052,553,232,031,041,915,930,594,614,436,571,301,
843,274,540,927,075,300,911,474,788,949,198,975,826,069,798,656,190,754,304,
848,870,309,229,304,235,811,064,373,323,337,209,475,939,978,163,770,417,987,
683,379,324,007,142,236,024,373,457,025,220,244,404,083,419,046,857,054,511,
790,616,817,014,661,758,043,242,689,397,060,828,793,039,682,266,586,870,500,
595,679,712,592,454,592,075,719,664,170,817,138,654,271,689,304,361,788,123,
222,619,188,661,807,388,615,170,009,153,113,964,355,596,867,101,771,112,226,
315,692,472,622,610,049,234,800,021,528,229,377,057,413,880,667,170,308,206,
546,948,558,643,777,935,112,360,385,515,905,797,152,776,587,119,303,117,890,
788,995,773,460,382,759,824,963,400,670,677,228,118,601,946,013,206,805,956,
767,026,064,466,271,955,641,829,781,931,377,390,395,731,232,316,584,325,833,
657,074,449,152,227,480,182,311,686,951,972,547,428,098,373,949,555,599,588,
479,152,926,816,459,036,587,467,565,551,705,644,827,961,717,835,079,780,317,
615,944,010,379,086,097,379,431,793,741,744,172,852,184,746,803,596,586,906,
976,908,246,157,282,630,826,845,069,426,463,796,618,174,078,837,859,830,364,
792,099,426,596,823,684,441,954,651,723,795,038,033,293,789,484,636,996,520,
006,294,346,046,705,143,254,318,083,419,567,281,780,217,223,603,492,035,668,
166,517,855,571,070,256,682,710,056,346,180,471,251,992,319,952,401,627,152,
941,337,773,325,617,369,001,716,872,283,024,385,957,377,345,837,541,894,308,
724,669,280,138,811,039,468,381,904,240,452,773,931,885,921,888,101,460,830,
272,843,723,522,021,790,326,022,950,697,529,361,754,435,115,191,061,079,045,
484,712,759,249,197,680,427,677,242,857,768,317,266,126,245,847,750,709,610,
239,612,203,172,937,999,924,102,926,617,557,419,674,667,690,730,966,310,529,
511,725,975,210,707,859,307,433,232,882,255,185,387,756,203,863,804,634,708,
656,449,524,488,256,414,011,568,279,878,184,322,649,999,400,425,430,577,243,
443,645,289,592,174,507,699,699,617,270,103,399,296,310,971,818,291,975,005,
643,378,956,090,306,379,623,574,567,205,325,340,506,764,075,098,970,165,327,
396,370,417,081,289,367,537,346,849,149,696,172,945,468,644,961,152,656,934,
654,672,557,891,410,479,043,108,127,895,276,590,343,539,942,612,539,431,725,
004,163,809,174,614,323,950,825,236,804,721,778,634,583,697,175,581,106,049,
045,145,169,757,142,222,452,089,969,416,356,224,341,265,101,634,649,049,947,
371,537,739,720,479,718,854,390,283,815,156,564,552,301,596,870,933,116,578,
062,370,794,754,050,490,576,446,786,254,792,286,915,706,947,976,285,535,547,
864,926,548,512,992,327,425,679,628,621,085,278,036,409,010,443,759,655,023,
310,922,635,772,568,592,877,929,282,153,581,252,943,799,035,278,943,368,912,
821,119,451,470,779,605,663,050,876,552,815,079,453,212,438,110,474,752,284,
113,699,572,987,814,998,147,497,828,964,572,409,846,227,417,104,229,971,759,
292,027,385,359,618,917,889,919,529,518,057,254,472,214,563,079,968,534,988,
107,319,857,983,532,143,686,755,657,482,876,668,088,592,408,078,194,131,401,
400,704,368,694,054,742,156,224,016,675,702,091,070,141,825,925,601,805,188,
950,929,580,505,679,728,305,293,468,959,101,898,535,133,805,557,771,270,783,
175,070,608,022,523,262,934,155,982,170,581,580,919,846,990,271,365,800,345,
604,811,105,882,503,335,170,498,091,007,664,559,940,347,791,734,779,088,100,
839,464,840,671,282,178,632,638,257,697,673,347,098,397,353,287,865,105,382,
851,021,163,238,944,149,228,809,398,416,927,937,358,339,398,267,351,341,888,
050,797,847,066,539,839,366,712,470,830,259,074,408,990,124,785,080,157,905,
590,673,896,413,420,502,510,635,241,022,562,125,299,677,741,660,626,449,130,
236,967,472,910,299,265,718,471,002,972,538,318,554,015,973,092,686,668,272,
141,608,912,956,276,428,487,737,076,686,737,708,556,723,268,127,117,097,712,
046,578,849,693,762,361,340,168,304,740,882,592,583,713,889,073,324,841,226,
436,088,635,289,711,680,945,213,794,238,932,872,765,421,112,457,640,527,796,
053,606,361,539,987,425,899,639,489,805,616,923,215,287,176,656,120,881,282,
951,157,444,836,510,857,104,647,823,041,628,761,857,659,455,714,488,564,165,
447,232,814,174,914,861,936,812,605,322,197,058,560,376,915,279,081,805,202,
671,945,685,279,545,337,695,193,255,185,190,793,673,792,864,163,154,868,122,
211,357,734,014,291,576,475,667,934,839,523,623,576,860,426,676,013,199,529,
270,210,240,005,294,689,757,935,927,279,131,151,074,503,726,456,541,707,867,
953,202,946,414,845,578,340,775,344,193,676,798,178,618,379,059,767,553,145,
102,813,024,838,955,460,913,203,848,055,042,498,117,731,913,676,242,015,952,
878,669,117,238,866,052,656,803,703,657,160,906,375,239,694,762,891,616,690,
555,320,249,256,776,898,797,740,760,680,842,633,715,120,233,187,940,781,073,
397,401,565,780,657,888,910,784,283,363,562,803,595,786,601,315,465,358,128,
331,782,083,169,940,811,740,456,272,547,507,733,970,303,697,057,265,582,894,
369,948,773,635,187,028,072,532,044,182,147,465,634,760,815,263,899,438,093,
203,621,610,618,196,888,271,550,477,966,569,484,829,155,446,958,015,338,970,
458,604,710,148,444,501,525,766,985,261,051,842,143,919,018,363,661,112,113,
815,717,825,700,499,790,845,382,789,602,019,613,804,713,992,619,443,955,941,
069,224,397,449,875,560,656,761,529,832,823,875,245,973,085,560,207,050,111,
246,153,085,671,040,068,377,457,953,924,711,255,644,582,010,213,660,635,442,
689,876,450,598,935,719,495,171,828,738,645,216,164,716,109,780,821,924,119,
840,040,494,921,138,677,145,190,738,972,991,475,198,065,402,808,446,404,115,
305,320,942,631,647,012,559,053,686,504,535,701,236,373,360,601,868,330,315,
048,927,892,257,139,845,231,473,760,310,965,588,820,864,558,467,615,072,393,
125,462,236,947,034,958,957,187,293,762,936,459,396,057,709,597,928,518,728,
979,650,275,888,598,360,075,567,882,867,558,988,225,498,236,324,436,142,578,
755,754,433,961,565,868,451,702,887,725,300,001,413,527,450,075,552,749,607,
683,182,528,546,910,390,670,508,640,738,997,854,738,524,729,961,241,318,281,
168,248,649,401,333,732,589,324,014,806,096,322,403,713,103,394,533,249,665,
795,163,613,988,839,278,085,016,876,454,351,325,291,506,516,084,334,948,000,
679,967,075,227,405,771,896,788,056,294,721,432,593,312,473,933,007,802,322,
089,950,611,413,581,803,743,603,653,249,630,224,944,439,402,947,022,770,001,
593,143,428,786,090,369,467,405,921,355,240,728,717,293,057,083,236,243,619,
353,748,352,064,776,961,602,821,076,163,982,408,657,067,905,609,993,512,685,
322,509,064,590,153,059,592,815,613,026,311,095,397,834,138,491,509,895,538,
512,667,934,936,736,457,142,082,468,402,067,954,458,463,224,312,908,910,447,
003,136,523,464,545,395,978,503,855,320,906,428,203,944,910,594,153,526,320,
425,257,189,122,153,176,602,503,038,248,709,802,651,310,129,350,663,978,568,
478,142,841,300,969,907,899,887,776,917,596,769,908,761,802,083,866,059,952,
224,689,814,061,304,452,713,850,904,557,331,989,816,549,310,640,176,014,219,
423,320,090,772,456,042,802,281,985,976,619,189,770,725,532,800,798,834,016,
570,952,304,678,721,428,227,620,558,228,400,588,907,565,144,541,686,053,897,
950,634,333,759,915,968,374,984,018,916,106,663,012,210,885,808,621,711,666,
651,295,189,616,920,580,138,516,675,143,158,180,157,000,946,319,828,226,846,
393,186,852,504,626,479,984,348,549,413,762,694,585,622,659,494,076,925,451,
331,340,213,563,714,653,997,461,792,792,804,941,392,721,975,264,426,312,557,
792,391,703,072,131,370,706,172,450,251,395,673,109,472,648,635,122,191,454,
509,427,431,466,828,221,645,274,091,429,362,856,557,128,910,498,713,372,249,
752,499,009,260,493,062,900,005,717,875,985,431,073,293,722,987,436,616,400,
801,917,653,856,719,615,989,884,009,439,334,255,917,847,153,392,851,981,545,
747,863,453,846,586,567,102,412,567,405,488,352,268,291,463,712,586,989,186,
945,427,591,936,743,123,842,510,249,307,762,499,443,929,472,502,734,347,736,
317,512,241,460,915,460,250,285,769,292,440,540,355,591,060,393,571,847,402,
192,507,196,989,086,074,262,315,327,504,698,169,271,464,029,205,054,955,398,
890,019,849,786,886,606,218,627,971,665,358,630,831,628,040,941,520,401,091,
843,643,116,282,934,298,632,238,878,603,934,248,046,946,304,168,838,574,526,
715,012,188,661,173,043,274,364,562,401,363,279,789,471,346,788,234,040,007,
889,917,539,820,967,877,184,841,674,450,630,022,688,752,537,329,551,978,386,
628,319,075,473,144,429,211,999,287,350,531,100,292,527,699,179,874,809,168,
520,476,929,645,676,787,520,405,446,166,819,279,939,056,481,038,759,290,012,
730,469,544,496,515,504,111,643,396,024,773,488,121,918,672,892,804,556,765,
099,028,639,975,526,963,915,009,905,481,556,343,148,885,433,434,135,452,789,
537,525,807,470,469,756,524,900,698,269,396,358,865,457,018,886,126,055,222,
353,928,925,814,301,447,796,842,145,507,460,443,017,360,594,705,015,617,925,
633,053,400,117,176,358,482,024,395,427,270,571,305,987,947,070,090,252,106,
571,896,401,803,754,493,950,299,240,231,865,491,065,835,155,556,382,823,098,
842,344,644,765,993,923,224,755,873,898,672,769,229,850,418,139,097,870,944,
984,857,925,644,307,223,891,931,819,983,384,318,376,689,637,102,805,167,143,
465,464,851,608,453,421,413,570,079,487,320,274,614,086,317,173,142,382,235,
543,478,037,215,867,126,667,127,806,654,639,303,909,244,520,444,132,559,073,
356,161,486,482,612,708,102,030,977,490,802,704,674,132,716,721,139,978,499,
385,948,629,642,303,919,545,070,390,026,953,581,819,492,800,413,911,668,381,
205,079,930,930,718,605,091,134,331,348,872,678,985,127,783,246,017,597,683,
136,762,442,510,321,840,612,540,094,353,524,398,159,109,888,650,905,213,251,
631,586,676,088,256,298,486,894,454,068,030,332,378,916,077,164,004,928,721,
060,120,465,189,053,739,928,862,992,391,286,336,071,910,945,171,811,120,217,
989,772,424,109,289,132,593,253,724,387,091,337,664,948,693,943,311,606,529,
134,309,443,103,997,618,645,255,287,280,762,808,637,585,690,518,292,562,811,
580,188,942,653,629,598,618,970,100,111,041,392,264,429,235,389,643,950,364,
878,915,819,299,641,034,242,959,879,949,225,484,209,600,123,611,009,648,322,
228,614,374,592,001,649,163,112,962,044,902,353,335,101,010,198,065,229,655,
786,844,334,246,047,315,376,754,679,752,250,590,276,171,032,370,469,085,686,
015,206,140,641,818,588,185,668,254,842,776,172,854,277,051,075,383,884,141,
845,874,537,671,113,459,160,962,658,018,624,718,736,175,013,440,698,454,999,
956,247,142,316,013,450,882,766,549,163,969,405,742,964,084,505,646,933,563,
078,088,878,164,343,311,965,958,701,005,360,357,780,694,593,844,667,980,651,
569,853,565,024,377,189,370,657,741,996,555,977,164,823,822,933,958,129,755,
390,250,371,294,935,126,851,463,106,339,675,565,394,993,474,999,194,619,216,
642,566,381,301,633,321,877,214,413,735,346,541,770,046,526,768,215,612,540,
891,395,219,854,711,365,785,495,362,958,014,120,956,385,977,773,670,712,261,
427,293,334,521,745,018,974,047,204,424,422,363,886,333,379,043,052,703,779,
791,979,047,995,155,539,692,508,714,100,080,895,780,318,308,640,571,816,747,
482,337,986,455,656,865,115,076,648,214,293,495,098,083,853,867,640,614,908,
409,826,252,837,605,433,960,696,347,060,009,523,655,735,255,907,285,976,629,
403,657,302,624,722,314,711,961,252,368,658,371,777,516,079,449,554,552,810,
656,345,302,741,711,265,804,602,486,867,510,033,835,726,613,373,665,796,883,
812,791,399,157,590,285,445,067,449,813,441,245,825,880,133,278,300,838,849,
740,185,494,160,127,122,073,164,323,499,316,648,180,598,322,715,080,240,005,
412,164,860,955,340,801,124,786,805,929,532,375,788,754,758,972,440,636,242,
122,800,243,606,385,571,084,772,095,782,900,085,401,949,318,545,422,979,667,
897,574,505,893,663,923,429,821,849,107,506,577,645,574,921,923,840,448,301,
704,015,546,612,814,192,834,718,391,870,352,684,040,219,078,200,200,525,925,
696,748,497,943,628,644,446,717,409,885,539,891,468,319,477,918,061,340,995,
545,079,613,104,145,488,282,809,751,835,704,181,634,725,914,920,605,480,690,
817,000,988,854,091,929,300,728,200,764,774,817,371,895,890,731,995,766,966,
420,959,352,190,921,209,559,020,381,492,718,040,206,378,017,420,534,543,499,
318,735,357,108,997,373,983,286,309,396,680,345,265,741,441,884,870,794,811,
599,993,582,398,800,139,404,188,420,189,785,362,859,822,585,819,911,989,747,
327,684,763,291,857,395,297,923,808,928,405,551,271,626,579,184,460,371,655,
287,098,629,235,845,516,442,651,098,079,481,376,374,414,057,369,505,094,299,
000,682,437,742,845,997,359,507,614,281,058,481,229,355,941,952,133,622,529,
823,440,538,484,520,042,787,190,983,782,965,218,592,369,153,329,943,229,973,
711,060,699,567,440,120,628,225,447,795,332,856,081,076,375,374,159,068,651,
641,672,818,779,965,260,876,624,102,539,728,101,102,714,283,982,133,406,323,
310,628,591,056,082,392,445,001,369,533,472,952,462,999,371,262,817,404,120,
035,053,103,929,310,868,700,400,035,922,412,506,121,255,929,521,991,636,167,
452,011,973,331,118,736,023,400,911,950,462,462,834,212,882,876,751,427,494,
908,239,122,974,580,831,221,142,120,240,761,916,686,875,281,547,413,065,232,
541,972,164,814,215,130,701,887,052,810,240,869,925,824,893,616,558,455,529,
085,962,619,635,422,293,052,265,917,910,910,665,829,116,857,553,991,503,870,
508,984,867,348,523,828,346,456,255,991,956,233,713,483,138,231,382,861,434,
240,202,525,863,529,913,882,405,081,180,421,122,422,716,853,693,453,579,975,
705,620,061,696,923,259,142,587,687,987,885,606,882,426,347,987,747,214,931,
997,684,559,167,893,676,321,950,852,841,363,336,551,934,346,810,113,523,801,
946,119,452,212,834,149,876,997,496,310,246,833,366,840,908,986,991,825,605,
173,301,704,785,040,958,999,432,778,428,531,380,137,428,291,531,189,854,630,
439,737,073,550,476,181,796,841,802,925,181,172,389,381,593,158,516,366,221,
290,434,032,583,507,047,092,657,467,904,406,523,650,353,065,934,659,811,615,
527,354,316,131,627,830,394,993,673,353,403,076,743,936,975,518,711,947,206,
279,900,110,847,749,993,550,568,769,428,705,203,352,333,706,298,039,685,627,
718,448,832,151,454,398,124,470,475,761,528,291,417,975,797,369,209,965,523,
311,729,835,561,801,283,667,475,477,314,907,823,805,954,790,589,072,117,887,
059,762,691,891,074,118,832,339,532,811,677,614,354,650,613,615,210,656,787,
520,438,130,881,489,371,384,046,027,949,560,116,026,420,673,793,137,659,720,
100,892,726,690,850,392,668,593,418,007,585,514,722,304,787,206,101,997,364,
935,707,108,298,596,721,035,412,540,865,057,829,496,659,874,748,634,188,882,
627,152,679,991,573,749,612,248,855,305,635,430,796,288,332,822,667,046,711,
010,581,366,522,143,295,660,513,965,345,295,728,248,195,365,791,625,482,502,
079,514,648,073,581,621,328,806,844,334,992,596,344,237,727,783,620,588,854,
986,363,263,872,246,445,651,699,116,225,264,814,921,894,351,929,126,973,268,
870,276,791,026,141,000,341,856,751,100,613,099,718,650,973,152,961,683,559,
365,756,883,904,110,997,979,807,256,242,999,598,229,462,729,205,016,498,540,
142,030,522,025,911,103,811,312,604,589,366,376,472,345,034,113,713,499,171,
153,410,079,039,115,902,581,327,320,827,161,349,368,249,121,931,788,212,784,
504,224,102,980,652,601,871,945,962,004,801,922,867,194,079,632,945,400,448,
626,182,372,876,077,516,407,941,747,035,916,023,067,508,352,208,879,146,289,
233,410,671,772,253,437,293,162,934,361,767,421,572,939,805,218,999,193,734,
239,316,698,603,397,620,828,114,726,031,915,245,190,042,276,610,034,472,033,
127,325,561,191,700,303,323,644,982,648,844,982,208,290,624,322,459,346,979,
456,080,107,410,475,527,638,839,194,315,458,673,960,719,496,819,460,748,706,
858,530,038,678,830,009,479,542,437,381,776,140,832,916,534,922,693,219,427,
774,042,047,191,481,503,167,256,448,279,773,207,308,636,958,818,889,954,821,
992,943,785,611,924,049,972,605,478,409,955,846,777,661,669,080,964,164,151,
709,566,253,506,137,175,420,856,644,972,676,159,950,948,122,235,116,663,141,
983,608,833,106,414,918,436,783,813,312,497,089,274,505,890,085,298,550,837,
001,488,939,667,148,725,091,209,228,687,971,099,014,016,964,388,835,463,062,
347,960,183,877,553,888,993,407,108,476,486,964,434,786,448,636,791,910,210,
257,369,370,960,654,305,332,236,505,434,330,601,152,778,317,479,098,896,197,
012,181,629,196,816,458,130,697,001,333,258,648,936,977,519,511,101,805,820,
680,526,126,668,451,664,875,600,241,942,638,116,705,548,631,515,853,550,352,
619,769,516,565,817,332,929,769,852,663,211,749,211,478,057,374,357,599,928,
272,994,572,429,533,388,125,990,371,912,898,273,031,391,879,562,161,757,050,
803,277,538,772,831,695,161,132,640,328,743,318,875,400,025,167,623,276,432,
511,468,468,068,133,953,039,647,699,426,951,804,401,415,638,217,131,666,606,
649,916,328,000,083,858,699,540,049,078,203,735,354,283,543,270,890,489,270,
610,211,215,972,301,842,440,500,210,758,864,885,745,314,916,496,896,409,402,
824,045,384,881,149,473,905,463,839,454,864,981,073,236,320,434,374,627,783,
758,864,781,231,786,498,741,175,650,038,951,060,103,560,073,654,917,248,483,
494,768,529,382,861,943,327,021,298,326,053,008,235,936,865,625,687,626,262,
944,694,935,963,864,393,322,877,346,086,282,319,292,480,710,016,737,465,919,
964,043,054,859,564,250,494,566,065,774,393,222,044,118,934,715,785,463,149,
491,004,738,554,705,335,770,781,695,899,373,369,034,526,842,073,828,648,390,
028,395,292,796,361,904,196,063,151,223,188,691,310,830,438,141,572,258,730,
786,442,809,579,651,042,835,311,378,692,407,664,044,149,351,349,302,147,137,
484,758,922,908,523,663,718,281,442,025,556,727,008,712,405,561,465,569,801,
333,822,775,252,087,173,029,636,165,307,734,649,964,519,836,824,290,349,441,
722,078,576,594,633,885,384,622,350,045,551,052,805,028,021,381,275,629,133,
620,854,617,499,665,594,455,163,296,547,899,466,573,703,396,193,079,581,188,
979,235,549,325,651,164,464,327,881,155,974,436,910,891,254,175,083,158,222,
924,763,219,395,632,060,380,980,881,228,202,510,419,144,480,272,316,669,244,
283,716,689,714,087,439,978,724,421,629,041,979,584,867,088,256,327,303,094,
256,386,749,768,474,535,635,935,948,417,266,081,280,696,786,373,340,160,275,
663,658,335,219,463,490,130,957,319,033,613,725,642,412,107,257,451,259,735,
086,252,076,325,181,240,924,656,453,544,110,437,164,408,261,917,743,383,892,
716,522,135,183,774,996,993,485,782,789,048,310,712,818,243,684,286,295,836,
349,147,345,575,409,226,938,152,365,764,303,051,884,419,012,953,705,616,673,
047,751,898,012,381,421,863,817,897,848,492,891,814,881,146,937,096,008,661,
115,606,763,192,718,736,254,848,580,337,714,200,058,440,162,767,968,941,893,
111,539,797,823,855,006,146,191,431,606,132,244,153,395,717,892,277,758,825,
463,431,940,738,493,013,809,379,676,165,296,941,612,661,141,400,940,974,368,
901,040,075,112,731,962,551,947,720,719,957,366,123,811,128,233,204,946,872,
621,880,388,250,009,134,238,932,181,583,459,489,888,614,431,912,571,329,538,
693,149,090,691,234,075,264,513,756,422,576,390,750,296,540,383,572,618,647,
927,036,070,727,234,817,466,979,353,306,250,765,870,376,559,060,982,344,731,
240,646,616,237,606,236,738,492,709,491,159,503,251,805,788,758,233,315,904,
301,419,605,811,946,689,799,402,527,803,837,480,257,520,584,398,099,604,019,
119,490,354,363,746,372,970,407,472,801,016,277,183,219,757,305,974,816,093,
632,981,828,181,206,732,030,607,500,363,250,950,359,141,258,142,056,871,740,
911,591,432,743,909,028,919,454,569,491,405,549,699,939,486,085,979,044,279,
097,177,234,780,530,504,004,998,563,753,074,101,332,353,824,016,359,036,798,
070,275,231,192,534,982,425,961,707,148,654,106,929,671,115,599,463,962,994,
459,771,242,010,545,718,316,672,677,521,867,444,222,721,660,048,028,020,293,
371,482,799,031,082,436,386,990,415,075,289,537,080,868,190,634,176,588,365,
774,829,108,460,825,535,980,346,451,119,312,506,620,186,525,983,895,626,501,
143,744,352,764,082,964,507,157,609,602,435,108,397,689,157,781,315,836,486,
563,509,248,816,401,010,918,641,895,452,629,860,566,170,967,451,804,815,630,
805,410,969,516,914,609,456,028,689,295,212,114,328,259,589,887,176,207,546,
759,132,672,976,272,160,963,611,683,678,669,031,050,015,530,997,387,590,366,
615,326,236,138,245,420,064,975,053,370,448,659,601,528,044,269,074,763,524,
042,642,599,023,868,833,892,463,223,718,534,476,745,348,838,762,529,914,751,
325,810,286,152,808,929,143,251,274,249,978,999,870,362,831,290,336,545,885,
250,892,493,133,986,878,232,722,526,286,865,320,688,018,511,613,619,262,122,
475,183,115,863,910,861,603,314,860,430,964,337,499,783,700,588,680,664,734,
940,105,526,996,886,952,394,647,448,926,349,683,326,878,633,108,172,384,667,
186,044,573,134,912,694,661,886,603,024,840,974,317,210,373,245,590,111,387,
046,297,345,782,116,621,119,114,420,055,194,138,227,857,987,276,043,913,582,
316,352,984,448,432,391,392,476,863,656,407,249,434,408,673,900,551,090,595,
942,223,926,962,359,126,917,733,615,855,452,860,157,897,372,850,604,671,394,
025,637,191,774,277,349,921,373,091,769,932,096,710,274,315,801,786,802,100,
777,626,070,644,286,378,959,453,530,526,006,666,421,311,543,151,285,272,439,
185,576,377,082,753,739,579,369,273,137,718,425,570,684,877,367,801,359,063,
191,446,250,957,882,126,954,459,047,889,735,564,965,093,197,367,867,787,732,
381,801,873,812,178,500,739,497,661,654,741,215,917,458,654,672,048,680,699,
683,720,180,979,369,260,661,001,869,195,908,862,164,199,499,587,594,971,527,
395,202,811,169,986,168,399,520,161,450,099,712,801,504,609,823,082,705,368,
148,126,229,146,345,813,532,965,571,159,108,712,333,836,603,236,737,054,865,
459,622,456,035,391,381,906,186,360,889,525,206,445,938,618,320,859,125,633,
747,696,167,062,374,415,918,295,996,896,592,266,440,386,709,241,795,049,271,
573,105,335,451,986,390,583,162,387,174,630,817,147,721,727,283,605,368,746,
334,510,136,725,106,591,060,444,744,418,756,875,139,545,010,412,219,657,059,
982,187,763,358,538,155,918,212,120,269,028,395,322,314,718,041,380,886,298,
758,005,513,864,213,499,996,262,075,218,855,902,516,878,035,854,116,166,730,
330,606,836,016,178,002,444,849,495,071,397,804,411,894,737,740,374,322,356,
165,993,363,150,297,394,681,454,597,796,165,750,088,699,419,609,943,447,993,
740,837,286,550,693,200,276,335,604,983,730,610,108,245,681,704,440,123,278,
802,883,398,313,708,684,579,863,675,832,150,850,431,506,685,574,414,017,645,
530,785,594,382,485,942,486,836,352,397,504,830,363,955,950,384,487,956,987,
381,867,432,198,079,476,060,636,968,771,251,722,943,113,587,975,336,442,734,
907,011,919,087,238,069,297,354,324,582,508,262,671,013,297,646,317,774,905,
128,548,512,715,069,513,614,457,522,444,365,048,350,161,376,753,752,257,597,
042,402,892,319,591,907,119,473,674,047,086,853,504,293,157,826,162,181,779,
427,054,152,027,210,252,202,708,066,992,276,812,623,676,797,592,801,377,929,
062,561,753,207,637,261,277,280,711,779,498,974,528,434,703,309,803,454,328,
894,941,610,722,701,824,729,242,445,635,054,011,343,661,634,117,541,731,254,
539,244,394,965,941,883,132,160,145,099,333,695,313,148,270,561,258,210,800,
154,587,167,760,724,328,390,193,649,804,832,304,320,906,258,749,385,190,759,
955,044,372,186,428,965,441,592,309,932,936,159,240,258,139,426,989,749,193,
526,659,483,371,664,778,100,949,028,147,904,891,159,403,951,015,169,171,045,
545,444,425,928,255,886,331,197,358,859,871,583,873,666,719,730,117,419,143,
795,607,221,205,685,787,885,792,431,624,098,604,699,394,260,665,224,982,854,
336,317,792,526,261,683,510,940,682,138,599,142,962,454,450,730,078,116,632,
411,935,504,145,211,053,304,796,826,722,611,962,080,931,270,475,643,030,786,
252,248,922,456,578,489,943,765,318,246,501,969,016,404,444,299,318,010,865,
689,405,605,047,899,147,551,154,289,731,288,394,484,642,667,105,571,301,337,
301,109,531,257,648,134,779,134,046,435,136,254,912,952,761,964,753,626,592,
988,299,925,516,687,204,499,655,441,070,025,887,692,193,769,330,032,730,011,
805,681,584,226,055,759,896,020,747,674,671,683,569,034,672,570,387,936,974,
827,641,297,530,247,299,743,942,178,298,035,871,840,079,171,908,174,683,963,
875,599,793,412,276,108,782,401,797,716,505,327,044,534,821,908,251,248,211,
603,332,210,603,063,270,717,684,986,025,967,886,189,059,748,338,429,951,684,
108,425,659,906,998,772,019,154,100,524,180,774,753,624,640,218,573,436,255,
536,525,707,470,644,722,853,010,335,646,259,681,006,171,577,741,410,902,332,
938,673,321,876,588,764,747,779,222,730,810,843,460,893,922,937,747,212,901,
428,919,349,785,715,586,480,279,697,615,947,887,079,527,150,161,121,414,623,
801,310,168,396,516,811,755,222,262,419,536,130,489,871,943,543,195,671,026,
277,437,415,083,328,665,086,359,074,976,028,587,694,282,620,611,236,133,422,
653,420,284,190,795,908,870,554,730,512,470,348,062,860,432,403,538,798,757,
039,102,186,013,082,413,382,344,473,438,572,561,314,720,518,998,212,739,048,
194,223,134,740,172,799,007,726,021,138,589,134,033,660,879,607,592,488,369,
263,209,233,475,967,458,330,789,786,470,430,335,393,600,992,234,527,524,491,
445,936,148,110,774,413,511,102,808,309,708,590,235,417,636,856,974,246,958,
939,411,380,478,363,946,300,922,812,080,175,877,842,107,226,362,948,945,566,
507,421,806,347,263,710,108,535,236,505,642,568,771,380,991,156,246,486,809,
537,131,008,156,076,298,885,486,267,992,407,846,023,831,398,050,868,699,014,
454,830,340,301,511,154,632,000,290,512,682,857,732,274,620,403,539,095,153,
940,782,826,222,808,706,672,570,174,383,162,509,741,630,484,854,442,872,064,
118,217,181,079,076,325,417,502,712,127,221,495,066,077,861,417,260,142,410,
282,194,033,162,897,621,113,776,060,692,978,868,872,866,111,173,426,855,598,
631,695,438,630,198,813,673,142,274,841,206,636,002,678,671,507,631,150,524,
604,130,609,772,347,063,855,636,347,184,618,408,871,987,502,400,319,500,325,
970,815,131,371,590,902,935,719,858,824,384,693,746,463,900,227,341,195,261,
366,275,795,723,856,884,147,537,733,921,223,654,915,605,604,292,904,712,003,
367,184,319,548,672,188,521,242,547,116,431,535,700,014,227,730,735,532,135,
417,801,947,743,143,362,101,998,656,208,210,549,895,451,633,048,630,962,570,
379,456,542,194,674,620,312,854,265,417,532,108,589,090,401,220,626,914,453,
626,427,493,798,958,583,918,226,419,541,224,491,380,897,670,027,690,021,725,
103,204,618,582,678,376,753,864,960,676,399,200,181,410,798,734,667,137,893,
160,725,080,368,956,903,397,515,822,219,534,531,398,900,922,695,601,323,199,
052,247,145,247,538,278,011,792,318,832,652,684,055,001,726,074,166,899,219,
135,604,768,929,689,538,330,567,829,164,492,709,993,425,683,913,244,430,692,
989,408,980,791,072,209,173,579,696,922,398,321,105,827,251,221,563,792,279,
163,010,111,470,564,953,030,330,021,228,700,631,934,275,826,738,274,583,442,
909,614,526,819,165,507,715,912,959,323,712,563,298,538,810,518,796,049,133,
763,268,462,724,238,881,827,264,386,372,332,988,983,440,323,958,992,588,356,
966,563,525,888,900,657,040,094,928,361,049,263,094,588,564,636,392,142,377,
674,385,028,125,860,244,547,783,853,586,776,528,628,538,992,625,051,852,376,
035,333,592,187,577,267,138,532,788,743,470,671,937,029,422,002,759,193,562,
415,460,818,324,512,808,072,567,239,350,656,639,076,410,462,060,797,140,921,
687,268,458,030,712,952,700,851,728,811,262,146,815,234,192,064,365,819,545,
712,831,845,338,198,763,240,902,031,463,799,927,877,170,857,318,232,384,168,
218,543,142,778,717,016,712,922,627,157,083,720,417,018,465,735,671,760,230,
508,528,349,059,174,255,118,015,330,698,378,510,677,590,468,563,039,404,660,
544,041,067,102,188,277,809,948,858,714,403,376,269,358,148,198,624,003,550,
663,272,326,157,055,853,769,948,914,416,835,371,439,168,582,158,234,150,142,
504,451,927,941,198,108,837,148,550,259,156,139,888,174,342,332,454,934,996,
069,421,757,105,638,863,309,676,492,582,979,856,110,429,274,179,094,197,381,
096,559,832,144,409,625,887,252,732,379,720,684,523,296,732,794,854,508,463,
682,528,159,476,572,351,622,129,113,951,980,716,001,390,924,119,253,767,398,
357,356,841,126,395,998,025,747,065,841,467,412,759,714,634,493,502,711,720,
917,716,994,959,024,547,698,492,609,327,640,534,404,380,104,091,285,209,407,
746,589,011,318,950,753,382,926,973,250,106,732,389,312,420,201,586,907,051,
589,813,479,046,880,932,837,695,600,988,666,160,821,285,022,848,792,217,457,
919,729,342,660,600,983,850,094,195,019,455,841,896,735,064,160,827,380,785,
707,498,348,892,982,853,182,832,718,851,010,258,011,481,329,506,607,594,599,
608,656,459,382,291,249,918,731,664,089,620,148,701,476,145,682,002,396,448,
463,455,234,295,520,692,483,141,639,267,213,136,993,501,551,111,164,858,161,
835,839,684,481,010,340,886,465,770,119,032,354,615,377,104,649,159,500,486,
507,379,942,917,536,127,376,053,957,611,041,125,098,670,201,182,129,502,316,
343,748,642,116,030,876,299,686,048,631,138,786,850,745,885,556,906,432,196,
366,860,393,530,766,343,390,020,275,111,465,551,555,270,556,417,079,577,250,
474,532,839,919,094,383,567,166,829,968,205,585,273,004,441,931,944,342,890,
361,211,174,074,035,605,740,220,924,115,709,763,746,224,003,889,612,431,369,
287,011,154,756,614,306,607,026,504,486,785,893,301,329,267,060,972,875,621,
465,794,443,348,627,639,158,262,134,381,228,294,041,751,248,486,042,733,249,
360,791,207,019,707,024,057,630,646,216,579,502,694,185,686,073,986,355,470,
621,575,305,054,368,959,577,082,687,749,918,682,807,343,650,259,566,622,374,
790,453,252,726,987,009,151,147,020,560,518,795,027,334,939,218,277,991,588,
707,434,089,468,945,986,051,534,443,339,923,431,032,213,566,145,779,148,106,
058,599,895,389,334,129,032,175,807,649,713,951,789,867,335,172,536,077,999,
869,201,708,367,920,577,171,690,470,529,113,953,192,918,420,317,650,195,989,
902,540,897,058,297,674,034,648,578,722,354,240,673,768,342,727,641,379,980,
751,310,335,184,864,013,925,329,673,013,631,027,698,123,862,238,503,016,322,
754,077,086,536,085,934,797,147,963,331,197,783,874,218,643,538,343,429,221,
023,933,790,483,102,744,960,220,770,612,615,506,743,633,839,574,267,432,662,
355,338,400,672,551,530,245,866,187,556,051,857,211,648,240,584,011,671,195,
631,333,420,175,369,507,130,159,953,835,637,943,559,303,070,282,139,621,343,
290,493,537,495,832,817,866,751,384,886,560,624,028,837,197,339,788,854,558,
910,381,817,399,142,616,274,524,810,545,778,930,706,228,586,045,831,243,204,
250,331,834,213,091,106,012,557,923,525,974,463,223,165,861,730,506,070,575,
852,171,232,665,217,950,172,480,473,056,324,023,593,134,061,980,717,395,347,
645,777,049,823,905,325,080,545,802,745,273,544,738,248,362,710,040,860,311,
854,675,516,980,323,225,767,122,955,418,093,098,223,562,727,698,960,477,064,
923,468,006,778,141,478,681,267,618,928,992,377,927,796,689,118,595,989,130,
083,674,756,181,519,905,117,263,865,370,164,534,850,916,403,559,915,777,928,
522,590,429,502,520,694,064,973,285,944,925,131,979,806,308,691,395,366,322,
701,238,490,297,983,379,101,061,019,704,435,816,588,548,467,296,789,883,553,
329,233,472,610,013,616,045,341,334,752,987,326,408,373,380,740,933,286,793,
755,500,425,568,452,431,268,813,108,932,274,265,286,435,034,231,706,769,343,
862,256,835,973,188,510,689,160,122,502,094,262,548,552,205,036,799,677,467,
058,301,840,196,794,951,805,958,874,842,945,304,316,678,134,556,923,110,856,
320,683,765,003,842,030,409,595,636,900,271,528,367,016,182,535,812,847,215,
763,086,209,409,866,047,569,006,160,372,431,970,913,280,348,425,957,280,293,
447,452,965,460,889,488,001,268,899,844,005,349,367,536,044,567,346,453,924,
372,202,918,956,218,575,989,526,816,721,466,573,289,557,558,708,742,774,869,
887,217,610,454,006,979,694,059,113,763,502,874,886,004,649,757,119,843,925,
272,185,807,539,927,641,910,892,063,662,232,951,699,361,063,188,850,190,019,
907,896,389,296,836,874,159,415,737,419,456,513,072,054,466,313,284,427,995,
952,704,721,266,983,431,662,064,650,060,995,841,973,811,477,085,454,713,970,
107,541,195,413,549,542,616,336,428,519,417,559,964,477,313,975,391,578,958,
328,626,871,057,014,231,547,717,452,751,345,995,385,925,126,292,042,412,209,
247,621,919,746,945,404,293,062,319,174,232,411,367,072,634,336,908,130,181,
114,845,073,715,488,646,265,622,731,530,289,795,755,855,713,023,772,941,823,
425,416,302,342,045,748,941,121,231,097,843,788,322,064,143,843,948,174,743,
874,461,639,734,608,427,313,277,443,341,428,611,724,522,286,086,781,538,210,
216,452,581,415,564,262,885,529,205,588,780,839,480,178,149,191,858,619,115,
733,363,195,622,725,583,526,988,505,053,395,393,358,432,149,062,431,873,367,
029,954,239,814,728,691,669,904,411,136,742,702,728,009,377,956,716,643,218,
133,300,447,967,412,872,687,857,656,823,953,921,819,154,186,159,819,167,964,
390,685,036,270,448,042,700,239,476,304,663,885,239,039,612,810,810,134,150,
398,140,630,114,925,438,364,431,362,632,141,357,680,670,133,329,217,725,923,
718,322,004,551,173,261,918,569,637,255,199,623,050,285,360,255,390,091,730,
984,879,718,697,535,033,539,672,329,452,459,338,098,762,824,440,840,406,705,
924,867,898,624,270,634,734,776,180,513,537,153,004,432,952,975,956,447,307,
034,257,495,042,869,326,086,727,543,406,272,090,641,604,514,218,388,390,507,
294,784,459,664,120,146,520,000,542,293,185,651,461,271,669,545,364,341,414,
177,174,617,053,769,179,668,300,711,056,727,466,564,328,982,181,370,072,775,
775,637,293,164,842,151,100,284,283,492,923,557,904,266,052,140,166,551,151,
136,546,930,659,181,664,516,742,702,184,730,715,726,408,803,592,754,811,146,
714,917,618,662,346,159,731,579,404,467,462,495,960,233,561,831,652,970,029,
087,460,306,268,261,134,649,632,645,846,859,387,777,136,653,603,076,117,463,
759,302,088,144,883,373,781,579,299,536,168,220,231,768,366,956,765,157,768,
530,859,379,781,381,844,802,004,872,520,896,328,563,403,721,315,409,361,649,
119,190,979,325,872,036,629,438,790,473,768,996,677,147,512,705,021,536,120,
339,746,536,849,230,559,366,266,731,173,062,555,628,437,506,544,293,246,442,
258,167,252,078,299,891,950,895,742,692,526,705,382,700,491,984,309,545,779,
276,872,426,515,316,534,522,049,404,855,588,646,283,308,755,716,384,125,636,
744,954,068,033,096,869,072,003,406,076,601,306,475,558,332,989,760,859,004,
581,273,091,655,929,906,429,683,816,219,224,534,483,301,348,355,316,980,446,
266,420,545,767,176,990,963,704,502,824,161,057,158,700,865,943,512,971,988,
203,382,433,917,455,608,883,354,920,385,456,542,942,749,681,058,128,771,313,
073,959,694,636,224,137,531,679,432,402,553,654,016,747,980,537,677,289,367,
591,851,877,917,794,860,493,379,457,684,105,578,545,225,279,950,546,539,809,
967,951,975,912,631,307,940,968,855,615,200,661,993,006,813,058,050,105,067,
184,384,199,821,111,938,962,463,566,515,063,218,249,913,207,711,721,788,782,
305,334,332,478,997,435,917,406,495,435,295,745,252,553,018,352,030,824,021,
695,322,044,956,104,265,968,002,371,346,394,285,848,132,611,944,273,156,661,
679,331,591,445,035,717,878,119,341,737,087,289,965,632,488,639,108,113,832,
181,878,633,217,350,784,781,586,527,705,210,382,092,064,701,965,073,264,390,
498,683,534,338,095,073,473,402,156,703,796,522,729,333,029,505,679,827,025,
485,008,235,882,499,167,735,663,105,612,440,764,705,445,891,167,025,859,860,
152,289,856,983,531,696,046,241,005,821,306,395,228,991,142,480,760,429,797,
475,644,892,122,086,703,318,710,373,932,769,473,421,970,643,006,290,196,053,
841,591,069,740,880,177,186,201,403,282,417,517,406,709,222,082,376,972,751,
917,280,661,370,622,724,977,734,655,002,172,867,971,415,637,143,217,463,825,
952,597,415,102,925,702,026,890,740,265,312,608,409,205,505,375,888,101,759,
515,753,276,879,341,661,062,512,359,244,490,956,904,521,070,525,596,455,835,
398,688,823,774,041,782,247,756,175,091,797,207,279,948,342,057,391,505,683,
325,134,156,120,531,794,006,760,842,979,861,770,956,548,530,082,950,962,875,
707,254,540,958,337,586,193,325,750,598,880,805,909,444,827,921,270,471,625,
116,225,916,055,297,663,061,910,190,717,748,587,249,337,463,778,321,671,061,
635,799,555,636,220,109,479,948,523,979,270,799,180,162,810,901,984,687,782,
932,574,715,917,130,237,389,505,502,685,807,853,104,828,725,748,503,196,379,
320,847,377,703,621,432,032,222,038,095,996,315,197,558,864,381,262,949,884,
674,673,073,568,923,127,402,779,393,319,398,231,333,919,913,876,173,879,232,
352,908,399,737,914,725,394,812,140,998,176,393,796,558,187,855,062,194,161,
151,188,254,388,754,761,527,663,248,915,898,822,495,313,304,390,980,315,195,
251,768,072,120,380,633,166,793,895,677,939,909,857,381,781,611,417,651,919,
168,018,133,751,772,123,281,777,539,498,462,610,709,084,068,744,566,383,606,
648,569,441,362,270,383,604,343,761,175,548,356,077,919,482,709,743,533,639,
668,684,180,588,178,459,623,206,931,782,665,526,368,032,261,045,169,351,654,
934,131,521,702,203,886,456,286,244,045,724,717,001,127,720,698,461,987,139,
931,965,310,663,445,188,692,387,436,066,886,192,526,765,964,406,739,506,458,
282,690,875,623,288,223,266,582,487,354,013,409,838,282,997,249,327,469,360,
607,002,839,155,276,029,746,531,941,621,242,552,634,497,945,840,608,928,185,
418,083,718,878,395,057,570,984,597,282,753,862,350,347,856,141,647,127,815,
732,447,629,157,620,975,519,756,999,891,319,735,792,132,304,606,155,774,468,
232,872,753,880,246,834,348,372,088,228,834,293,027,344,489,300,769,922,663,
604,572,434,859,813,633,986,361,060,134,375,310,731,925,392,579,609,389,466,
147,256,566,705,889,277,508,034,142,549,848,663,659,261,316,894,059,174,725,
479,841,450,861,265,241,538,978,607,453,129,295,176,036,621,994,141,712,398,
722,063,653,819,401,688,046,433,354,385,729,459,397,855,943,647,072,836,408,
293,715,707,060,744,600,177,204,835,902,698,623,535,956,894,197,122,922,918,
155,836,098,767,921,159,811,059,808,720,239,494,390,427,719,363,182,940,339,
779,780,705,901,094,123,267,623,832,139,684,952,480,890,408,837,227,719,182,
449,618,879,552,320,556,324,207,374,026,520,683,616,252,193,878,756,023,655,
042,292,115,017,819,781,814,026,171,897,063,169,755,422,194,193,308,134,862,
486,284,556,955,656,431,955,785,373,968,961,367,679,952,134,714,669,545,952,
886,749,754,941,725,307,353,208,910,877,192,131,099,022,597,761,918,201,679,
149,832,251,105,683,890,992,727,640,459,027,698,859,163,169,606,878,812,757,
166,804,086,676,678,414,136,164,396,536,181,057,339,112,216,756,108,690,279,
421,171,157,447,317,503,977,912,000,726,153,444,833,973,657,365,124,755,782,
375,506,975,021,640,621,237,868,858,938,975,460,135,698,235,704,764,209,600,
018,177,514,063,603,300,094,436,317,471,348,152,168,023,984,535,779,935,279,
794,175,719,622,851,506,793,762,026,906,581,071,571,430,424,291,435,540,636,
593,786,021,001,211,463,835,392,659,972,936,269,565,339,534,224,038,637,586,
031,756,007,327,638,893,755,084,593,428,640,197,917,525,869,950,026,729,362,
257,786,560,198,173,016,302,322,545,738,270,376,328,499,297,157,482,001,984,
675,923,292,938,178,570,416,274,464,308,767,765,781,662,550,605,164,698,751,
574,277,144,873,856,252,982,813,530,183,020,218,454,054,868,442,917,725,813,
053,359,823,409,981,167,618,136,220,302,858,538,620,533,038,238,927,689,673,
071,140,087,490,925,487,992,682,924,634,863,045,675,822,693,641,327,473,154,
873,390,979,692,291,940,806,278,605,683,610,263,527,957,870,206,896,057,191,
719,554,606,411,130,600,160,974,977,091,173,944,159,764,050,870,122,216,992,
789,106,976,325,087,801,961,411,515,382,134,357,885,851,586,059,826,306,937,
808,986,421,070,863,998,105,916,413,813,628,338,179,138,769,581,465,537,934,
176,071,906,193,658,931,525,708,092,169,437,296,101,067,329,378,785,823,164,
366,729,381,302,313,820,020,519,726,799,150,803,026,783,910,737,705,407,703,
071,869,144,989,490,061,723,391,142,686,964,424,493,362,688,088,658,139,935,
338,682,045,297,288,185,184,188,336,646,010,622,398,770,724,887,533,552,399,
160,546,283,729,147,747,835,625,805,652,076,019,420,789,078,450,436,047,023,
538,619,965,948,714,547,474,475,310,603,879,861,343,056,776,089,798,527,900,
730,312,693,260,249,353,290,178,634,390,471,396,552,187,973,183,287,952,984,
490,045,695,735,392,522,755,480,537,816,223,664,676,474,952,156,779,906,601,
612,062,034,485,270,767,424,088,576,158,097,672,284,287,175,882,297,585,319,
103,924,267,540,912,333,615,195,567,682,979,534,288,541,519,608,397,842,599,
799,392,346,140,348,793,998,477,415,406,802,326,779,687,385,722,049,431,803,
056,680,467,475,767,578,868,729,254,395,353,824,436,568,606,004,930,683,677,
253,977,785,399,586,760,601,455,842,124,354,181,129,922,645,918,527,982,354,
291,659,254,073,643,771,151,295,173,918,176,017,986,983,329,518,975,021,775,
559,102,083,099,743,179,198,734,368,980,387,533,866,829,115,421,517,742,374,
335,138,291,761,531,089,119,055,843,602,531,825,266,034,020,790,186,484,249,
293,466,643,335,676,896,433,070,520,665,512,194,886,145,685,553,085,299,682,
933,844,493,323,567,583,008,732,695,285,374,516,802,520,568,395,696,085,772,
380,160,275,968,814,687,212,416,689,380,715,560,439,857,434,334,304,219,549,
456,269,212,205,926,612,741,443,243,182,549,932,680,361,194,213,871,062,952,
729,358,921,817,877,950,539,220,418,681,126,665,261,652,888,068,976,767,814,
232,715,029,703,146,242,518,685,365,613,129,840,236,099,299,525,130,102,302,
085,808,318,221,849,120,128,227,149,486,741,249,307,633,892,305,975,435,667,
545,326,196,925,879,070,798,716,733,846,625,640,591,077,914,527,888,169,582,
353,371,457,960,759,073,603,846,847,378,425,119,123,296,144,995,930,936,532,
478,716,248,550,868,797,941,229,450,967,825,093,100,010,504,022,646,897,024,
504,632,916,761,953,237,809,351,428,153,118,392,847,873,074,784,895,885,566,
845,069,286,430,620,077,086,797,772,710,339,305,025,696,959,515,937,038,869,
474,937,926,560,700,356,664,166,361,413,534,163,347,775,951,317,993,119,243,
445,336,610,487,177,367,644,164,864,256,417,180,556,639,680,667,950,299,669,
863,622,529,128,639,838,523,155,102,986,231,160,055,574,716,249,694,919,061,
827,355,660,780,676,298,074,012,926,850,717,354,061,983,561,985,304,480,269,
326,925,054,176,827,760,382,064,223,440,196,389,140,808,838,296,186,131,034,
471,223,090,157,341,366,244,026,351,777,007,545,955,080,773,985,648,964,159,
730,314,622,933,700,699,962,857,467,003,988,993,478,556,448,479,811,756,910,
170,418,411,191,753,665,619,527,532,582,296,944,578,250,130,214,511,170,671,
631,152,887,415,898,296,721,084,561,485,989,919,745,780,223,914,427,690,699,
431,710,091,880,201,688,543,927,025,199,668,675,682,148,540,188,425,034,873,
890,911,178,692,784,102,485,149,112,666,526,930,944,347,774,228,352,035,731,
348,873,136,971,054,586,644,317,248,500,484,659,282,192,967,396,277,332,293,
927,331,059,330,089,144,074,761,467,355,214,763,431,564,131,552,972,822,914,
399,023,117,076,706,043,573,657,240,234,031,634,857,799,445,404,034,855,968,
990,857,933,858,736,732,599,341,622,740,971,685,877,663,060,905,267,386,768,
440,231,872,965,560,664,459,253,551,789,772,026,567,541,018,829,450,553,100,
778,032,839,247,768,471,217,482,106,669,133,380,902,867,051,025,758,058,707,
750,832,211,377,107,326,553,255,555,044,777,082,392,377,077,640,411,511,731,
942,705,659,620,999,970,302,512,947,432,451,481,039,763,588,602,173,101,764,
895,968,169,366,704,451,695,760,294,700,158,633,141,409,838,370,962,333,923,
019,285,220,441,616,898,061,330,112,520,625,059,565,483,783,045,776,802,927,
131,525,035,298,180,167,300,003,850,654,569,893,771,242,291,116,786,638,152,
991,385,690,051,083,493,391,203,215,873,195,149,427,664,192,054,120,194,352,
833,360,352,547,574,770,239,164,438,599,922,030,485,720,861,327,411,522,369,
337,120,375,034,993,996,301,191,411,167,308,632,731,466,215,364,302,585,482,
448,686,693,727,570,212,014,989,951,082,178,384,985,831,324,175,081,217,642,
214,912,093,049,393,253,557,520,612,117,436,888,068,317,537,084,988,922,152,
800,066,356,224,909,675,950,482,836,024,146,044,151,761,050,015,529,609,642,
323,920,118,872,895,516,108,009,512,422,899,494,851,237,152,855,629,533,809,
276,626,711,424,305,798,235,553,518,974,555,679,644,990,661,032,684,206,148,
022,498,337,489,845,769,645,330,417,529,880,019,837,941,708,009,174,137,466,
392,614,802,573,422,241,140,662,128,264,414,115,297,833,372,940,793,277,418,
674,785,116,992,834,480,752,570,671,633,222,528,811,261,326,206,823,859,761,
189,895,691,778,121,053,315,298,022,582,189,091,852,540,928,842,189,735,379,
189,747,729,956,685,382,971,889,646,441,683,897,627,453,822,406,740,153,250,
726,499,557,021,670,965,909,992,982,106,265,721,112,195,497,376,278,837,673,
695,031,268,279,914,018,388,775,474,423,017,041,584,106,278,937,913,356,789,
748,354,394,415,541,673,970,606,551,594,132,665,201,083,458,766,651,422,954,
446,664,620,624,379,805,522,811,244,839,230,593,480,031,806,751,712,476,115,
311,611,518,085,272,803,973,525,544,829,253,455,253,138,278,736,636,048,105,
196,919,665,771,062,289,549,433,312,146,833,779,448,748,496,474,605,439,172,
697,299,350,396,331,814,661,198,522,966,835,272,740,662,050,337,964,717,214,
425,903,549,553,828,509,411,924,561,011,609,188,060,168,281,994,988,192,227,
435,422,464,777,715,640,421,477,884,207,749,021,219,396,449,612,892,132,404,
969,418,180,400,277,824,507,257,966,675,365,224,613,679,351,762,021,545,117,
583,674,676,684,260,776,980,480,667,361,973,437,358,587,827,870,537,275,629,
759,649,705,069,004,885,660,216,148,648,322,922,762,785,129,399,482,965,947,
214,520,773,109,733,112,616,066,929,574,666,513,100,225,702,782,106,517,716,
337,694,870,081,490,342,676,651,623,936,580,251,042,115,782,746,300,308,175,
757,288,920,095,545,110,300,523,861,495,994,041,448,237,925,443,198,409,652,
074,728,677,599,195,677,294,731,152,882,995,928,213,414,648,606,761,185,238,
929,218,314,823,493,042,540,725,906,063,699,484,621,377,186,705,535,330,887,
736,363,930,322,353,991,338,842,637,600,354,507,930,712,168,750,380,959,926,
616,960,724,962,144,288,999,864,572,515,234,469,674,193,011,162,897,772,117,
398,014,074,129,741,655,038,848,142,078,916,956,617,230,561,679,727,986,875,
467,019,819,987,866,681,361,473,397,402,060,683,128,911,639,048,436,187,180,
786,902,057,612,924,925,415,368,388,568,233,339,440,776,009,597,017,396,485,
568,554,861,567,659,498,963,656,920,643,391,053,534,870,631,246,680,547,046,
753,061,630,093,419,098,099,338,194,846,378,498,259,214,572,277,931,611,620,
633,483,304,204,863,500,864,847,702,725,837,764,069,159,607,116,738,123,303,
576,577,540,669,312,858,441,122,911,109,851,031,519,739,272,196,345,719,071,
371,873,087,532,247,756,862,305,235,594,034,101,787,555,564,617,066,938,492,
615,787,619,827,719,784,659,513,522,316,687,203,664,025,097,572,644,979,512,
400,347,137,827,119,655,903,262,733,004,111,381,750,432,780,879,320,827,605,
258,583,223,033,854,670,253,086,408,349,961,650,881,991,984,457,303,512,209,
559,472,291,299,311,629,710,370,419,124,858,943,995,967,424,228,116,455,273,
885,411,557,373,942,236,342,710,650,346,587,475,238,457,401,048,266,317,748,
048,796,126,905,433,401,480,345,611,582,986,075,385,218,421,729,322,684,880,
247,650,082,063,796,536,980,807,321,651,750,468,177,516,995,693,449,592,415,
625,296,284,165,297,489,913,812,295,724,358,408,188,129,941,105,639,241,682,
699,254,325,648,268,356,846,856,225,778,750,468,535,547,174,478,852,456,072,
576,563,200,291,692,039,395,268,142,076,588,306,656,505,987,685,734,201,018,
386,314,697,328,951,652,502,542,410,745,464,299,286,450,405,298,527,858,541,
226,301,760,355,034,368,891,438,210,550,161,612,785,453,227,171,108,713,744,
720,341,056,812,053,260,906,495,838,128,988,149,346,337,591,727,967,747,856,
726,259,401,257,001,692,597,462,104,864,387,179,944,941,046,598,540,206,535,
147,021,122,416,682,166,955,581,720,262,570,452,575,614,799,621,299,592,095,
373,233,113,400,343,168,986,972,612,854,993,910,684,976,672,508,236,922,897,
885,880,780,494,938,460,083,034,742,834,200,796,522,921,073,194,809,534,256,
587,149,711,536,481,975,686,119,902,744,159,265,742,273,098,342,892,467,837,
771,715,472,991,679,188,356,989,702,931,568,953,457,765,022,398,350,276,152,
751,153,754,893,179,955,338,487,000,793,982,920,958,997,939,187,360,371,847,
216,658,257,609,642,873,521,620,685,935,262,185,766,364,061,742,010,343,073,
216,921,748,093,503,614,098,114,963,214,650,103,019,480,591,934,772,938,136,
419,961,448,285,735,834,840,734,118,030,793,831,697,481,539,189,675,791,686,
742,417,158,608,970,904,486,352,515,873,496,392,247,011,355,806,997,507,282,
654,269,971,692,517,318,040,674,384,877,348,073,056,603,358,241,526,294,993,
771,771,713,600,296,957,784,125,900,045,729,004,185,787,973,982,367,393,382,
434,393,511,998,110,249,901,388,201,928,965,817,118,484,291,412,177,642,750,
367,218,631,310,460,718,013,782,878,008,285,855,182,664,612,530,762,549,652,
503,501,232,812,775,682,596,285,714,310,351,850,241,321,601,268,567,817,076,
642,579,964,946,792,630,745,881,900,222,078,102,550,438,549,321,126,502,550,
876,507,543,530,017,487,419,223,797,640,552,734,995,862,090,322,292,896,592,
152,879,257,796,014,606,460,627,128,291,698,391,799,982,483,248,862,980,210,
307,189,582,827,589,638,242,677,577,784,269,769,629,348,638,478,661,820,957,
916,945,338,239,393,432,076,174,447,610,508,749,516,029,696,881,815,413,743,
615,302,036,949,649,694,549,816,013,218,431,769,815,993,508,717,189,173,396,
284,874,556,486,506,482,412,322,038,245,437,359,423,496,602,802,774,745,445,
046,967,578,467,093,311,092,305,378,402,753,040,726,063,556,479,250,368,990,
565,814,690,254,398,447,961,371,719,983,814,041,419,866,474,361,097,009,669,
858,731,632,249,843,174,276,136,461,534,103,595,285,806,157,217,744,107,677,
132,623,772,261,164,646,638,207,589,074,857,342,536,376,780,389,927,514,479,
088,889,498,696,569,060,907,790,994,307,702,745,107,298,944,413,820,685,924,
547,234,686,423,878,006,287,331,487,416,588,952,860,659,823,235,027,101,527,
448,818,038,471,902,961,864,543,466,899,981,092,923,158,152,361,114,011,258,
959,375,637,243,776,989,027,049,527,666,023,553,628,164,376,315,520,677,176,
076,042,964,058,115,519,792,347,495,998,739,195,851,943,801,449,909,376,184,
060,141,182,621,526,317,681,166,036,304,362,462,956,595,094,709,585,861,358,
633,003,891,312,026,068,237,097,740,648,056,957,768,004,019,206,791,590,261,
950,312,020,403,282,994,591,917,147,693,399,199,384,272,531,629,802,626,478,
167,385,927,663,423,227,782,502,918,159,685,567,945,112,019,833,634,133,606,
509,029,444,532,681,940,451,297,467,063,143,412,955,921,588,646,567,122,556,
335,995,829,323,290,889,186,969,826,007,621,096,616,997,095,218,863,370,039,
361,867,053,930,453,777,727,148,396,865,775,588,539,443,562,826,859,963,393,
338,288,059,090,386,197,118,999,026,875,833,937,447,614,606,769,723,583,969,
209,184,708,734,357,021,088,821,458,935,494,940,166,885,017,334,379,176,331,
683,562,310,084,319,994,543,643,529,745,095,624,435,566,196,245,999,229,472,
143,092,401,185,102,593,319,217,441,237,604,380,460,077,012,185,972,513,171,
215,242,734,399,584,849,862,104,194,763,383,752,578,448,062,711,815,742,544,
883,015,344,204,270,646,949,396,618,920,915,616,124,209,887,373,594,581,811,
896,993,804,623,961,927,271,556,367,462,326,535,370,738,013,817,777,564,607,
899,615,213,018,680,922,671,434,653,078,201,107,237,309,180,508,146,428,854,
840,487,509,519,272,415,098,317,078,217,491,950,630,609,350,940,328,834,920,
921,841,300,598,411,253,991,843,969,006,855,362,240,702,901,744,062,254,269,
261,494,082,767,428,376,789,962,298,071,859,740,018,922,738,083,951,769,825,
801,736,744,537,033,993,841,431,388,971,938,292,408,073,489,392,118,167,259,
752,787,862,159,407,643,629,108,513,321,076,480,553,366,889,573,931,902,594,
251,044,670,245,473,778,619,308,025,825,994,537,748,261,054,028,263,914,728,
533,168,526,254,283,840,657,370,685,459,741,448,190,624,364,523,084,140,485,
145,302,470,989,375,140,937,774,578,813,734,320,286,124,336,926,691,806,379,
637,007,901,741,709,975,933,319,440,333,034,492,122,959,139,094,958,261,807,
211,660,788,875,742,019,706,462,461,685,212,176,583,841,783,260,637,265,423,
571,802,095,498,159,127,684,179,617,214,514,050,212,182,511,722,640,457,325,
074,596,347,365,874,187,992,207,447,256,041,748,286,614,719,707,163,940,475,
845,539,886,235,987,201,779,252,783,062,188,902,908,084,740,549,616,119,837,
842,553,521,630,764,348,568,620,115,202,671,410,358,820,125,938,736,822,618,
046,338,057,745,552,676,664,010,526,683,205,667,290,590,997,677,087,284,346,
386,157,844,423,470,578,814,383,972,132,911,512,139,481,981,613,796,153,843,
815,160,557,598,248,566,393,355,496,183,140,662,161,439,846,227,886,649,341,
992,083,917,175,871,108,200,406,434,149,381,267,104,254,559,682,535,472,755,
502,239,299,443,159,443,928,037,919,477,910,619,825,584,039,586,241,491,476,
227,696,026,754,060,225,005,280,924,208,329,960,469,264,860,581,272,405,549,
145,586,791,181,855,758,643,991,872,175,275,159,628,550,591,098,546,737,648,
886,170,287,851,642,088,250,909,712,290,342,588,849,310,081,327,350,147,389,
148,158,167,316,816,603,955,466,676,538,232,563,924,582,868,666,268,511,942,
029,837,536,663,012,960,156,463,819,724,329,062,285,538,530,958,691,248,499,
849,732,689,080,597,146,322,897,181,575,524,239,995,600,933,481,584,215,444,
861,241,935,567,752,070,293,915,959,825,632,649,275,400,758,410,853,507,612,
562,263,854,976,361,307,251,985,810,656,892,916,893,980,339,473,670,608,770,
877,189,526,455,745,522,800,688,641,423,865,418,127,818,524,501,909,747,290,
240,767,367,907,404,620,782,504,436,748,540,614,830,423,958,581,971,214,653,
777,951,498,181,334,935,032,978,954,157,062,512,213,337,915,270,190,659,811,
094,543,703,447,786,978,123,439,591,182,385,594,015,908,927,890,352,983,893,
702,340,870,336,999,382,336,702,636,256,865,834,244,011,180,426,293,170,216,
700,452,895,754,283,077,763,758,095,689,538,822,494,840,300,510,912,319,848,
062,439,681,987,098,465,468,264,221,025,152,450,162,436,864,045,446,261,213,
114,789,007,370,082,149,156,798,090,555,468,727,757,654,801,932,659,616,968,
264,389,799,327,558,834,576,154,799,034,585,235,189,633,787,188,647,485,583,
634,871,399,464,449,363,456,151,888,633,913,864,217,443,644,295,579,968,170,
666,346,600,312,727,835,657,340,356,941,658,932,380,796,822,176,345,802,274,
756,514,290,991,483,619,515,095,946,516,762,193,354,053,958,295,001,761,341,
870,523,165,529,896,981,096,277,401,763,664,182,438,411,296,066,981,466,808,
433,856,128,549,178,913,937,167,990,044,893,950,328,249,796,590,970,890,136,
177,050,713,009,924,817,470,274,468,165,907,932,949,915,340,297,965,568,224,
867,582,843,824,755,156,256,141,544,069,702,868,755,408,183,227,916,334,181,
764,832,536,651,299,482,905,758,966,632,116,716,659,303,694,241,872,379,576,
781,182,907,366,762,543,983,511,661,821,127,846,107,377,553,090,645,133,370,
169,017,782,654,921,990,397,262,869,184,731,505,914,608,937,463,011,346,035,
169,072,467,659,851,971,498,360,323,421,434,466,116,155,652,954,082,780,031,
080,843,988,785,141,429,728,100,752,143,446,145,027,697,936,180,098,101,935,
418,609,590,032,279,187,887,634,172,569,484,170,640,606,796,687,380,168,800,
443,559,530,886,452,310,599,261,631,806,143,624,362,549,437,461,627,621,720,
617,797,889,646,089,927,300,555,543,077,857,183,715,968,707,039,493,635,066,
732,842,076,945,936,738,633,320,457,367,828,726,586,566,217,570,514,480,165,
865,335,039,992,587,048,183,334,816,217,320,671,047,155,622,728,762,934,358,
760,077,934,674,560,711,711,962,988,892,908,922,231,031,883,827,720,324,582,
643,020,736,087,414,628,100,460,734,540,792,524,024,617,989,490,958,729,029,
073,099,906,352,568,711,470,600,078,074,435,833,605,913,371,056,235,126,258,
949,341,229,142,531,126,666,202,930,209,982,547,676,195,926,269,769,639,426,
058,827,005,884,304,041,309,026,089,862,944,313,786,484,497,881,653,287,016,
155,906,983,417,598,763,799,244,744,815,972,534,701,469,173,671,660,580,971,
988,182,985,999,599,701,425,549,640,814,562,057,312,928,167,890,765,583,717,
219,499,042,616,517,650,500,030,123,939,747,821,033,725,422,467,374,046,479,
011,921,692,685,686,559,785,582,923,350,837,221,794,356,409,400,109,607,856,
502,551,156,690,471,387,171,461,959,236,878,180,941,179,518,687,037,004,995,
584,127,500,107,147,503,912,234,467,862,975,356,752,874,329,584,318,179,987,
587,686,666,303,573,353,683,766,438,892,368,648,463,082,265,752,765,160,387,
892,244,410,464,743,323,727,427,854,516,465,521,010,067,780,417,060,991,926,
711,332,966,133,010,591,025,219,094,004,280,396,240,416,135,771,617,242,563,
798,060,930,555,569,712,579,762,667,645,704,432,418,053,794,878,882,542,608,
984,874,194,107,097,012,502,852,821,822,837,530,077,378,762,136,005,556,952,
740,602,754,164,356,768,470,289,592,968,952,259,226,389,481,409,749,309,710,
744,467,988,310,287,070,135,262,298,248,514,143,688,997,386,530,160,615,477,
186,425,125,334,288,809,931,352,496,950,044,550,902,998,319,688,264,702,880,
445,034,751,850,710,418,264,859,029,512,403,909,627,123,903,439,330,676,996,
299,667,531,219,993,906,149,401,396,569,051,792,880,563,358,056,554,807,550,
533,188,247,735,702,408,977,811,555,301,830,395,440,953,158,289,760,148,381,
855,839,688,527,792,290,126,029,120,626,886,222,419,234,994,263,297,005,590,
756,918,784,597,992,057,471,938,606,514,100,379,958,237,815,350,910,510,041,
819,319,270,278,954,318,244,048,767,176,659,994,623,388,114,111,826,826,427,
591,189,457,123,766,299,353,625,271,273,477,496,697,795,893,718,156,281,237,
662,049,472,485,732,367,324,116,081,663,696,158,733,529,807,183,679,734,313,
449,019,172,479,062,527,054,731,631,272,206,720,434,199,516,922,105,897,797,
453,628,453,608,751,841,827,578,091,179,748,515,359,403,045,404,885,038,713,
177,245,884,714,696,778,476,062,552,443,611,413,765,105,729,222,270,355,048,
206,787,663,047,297,217,282,707,779,593,995,861,129,245,735,613,922,439,637,
292,423,234,467,509,003,283,769,151,408,192,721,395,221,958,700,702,957,345,
384,641,967,094,933,056,404,504,880,621,958,240,598,483,592,031,701,851,835,
362,643,648,630,162,003,731,612,259,777,840,712,663,987,425,565,449,817,403,
854,170,674,977,663,579,071,738,555,232,934,819,646,108,950,244,351,248,540,
602,683,426,191,710,825,780,428,380,807,127,356,159,566,991,537,958,408,469,
740,188,318,511,906,547,622,481,821,012,885,274,149,361,971,039,222,996,965,
656,711,886,354,907,601,998,364,210,261,125,453,378,786,047,868,208,043,273,
667,486,366,293,809,382,984,546,145,205,873,296,827,561,051,940,021,233,677,
957,102,555,465,282,149,991,089,933,245,741,800,481,757,481,474,774,868,303,
466,418,936,654,164,367,295,432,469,549,507,138,483,673,871,998,280,020,444,
972,749,487,424,319,517,952,396,918,819,777,501,740,347,469,892,849,836,382,
186,148,012,682,461,236,847,996,355,590,970,655,524,815,097,428,244,353,559,
482,839,326,310,348,877,921,932,518,745,574,570,286,506,761,452,201,352,264,
551,302,712,217,733,689,906,404,985,907,569,644,507,662,642,897,964,650,618,
105,263,169,281,351,959,996,711,876,840,204,483,333,850,451,372,634,309,095,
047,061,599,088,338,479,592,152,545,931,893,543,466,947,908,477,301,255,881,
857,255,427,619,326,127,489,473,030,238,347,819,511,729,012,675,456,320,215,
549,210,998,913,144,228,982,299,119,531,556,734,133,135,303,285,447,594,182,
544,922,269,637,904,369,832,099,570,909,839,670,633,933,102,726,891,882,623,
696,492,885,994,367,246,154,193,886,327,711,273,900,562,095,082,746,908,050,
264,009,758,034,051,968,164,122,755,422,306,093,380,294,688,036,260,634,929,
962,585,754,371,056,893,499,971,570,089,287,202,429,638,832,764,179,549,914,
589,716,143,458,079,617,128,265,631,382,385,456,218,241,007,131,406,560,467,
244,819,086,645,305,099,966,128,063,458,528,968,377,925,453,981,051,572,700,
813,538,480,573,413,524,617,103,404,856,146,831,877,667,000,866,510,509,131,
598,940,494,181,268,532,096,879,434,493,795,865,281,816,387,858,487,125,862,
803,973,663,726,955,443,487,222,656,281,879,920,010,803,520,033,466,640,979,
581,658,484,014,087,276,189,428,222,206,598,337,464,023,907,259,328,032,053,
995,520,909,240,506,929,059,676,989,634,639,878,947,771,730,680,348,907,112,
759,441,189,316,651,950,219,734,825,376,447,357,478,560,107,931,710,086,249,
203,274,171,144,903,131,033,701,267,452,766,122,612,680,756,956,103,459,401,
288,627,834,567,563,510,871,579,230,262,473,818,353,657,224,612,447,690,087,
622,705,803,158,480,650,714,172,558,329,674,910,826,669,401,718,777,481,484,
399,680,582,474,616,427,495,275,066,699,361,993,705,575,278,498,719,275,421,
751,511,910,210,109,998,821,019,183,017,361,071,632,002,973,772,017,510,691,
991,217,995,010,933,226,335,795,190,192,996,243,337,270,031,790,158,327,501,
778,291,179,426,953,790,889,853,214,966,473,493,010,690,261,988,519,699,810,
317,009,769,335,623,124,726,979,620,225,396,770,578,273,894,326,899,121,961,
508,251,086,409,429,549,423,367,451,546,437,727,476,482,191,275,290,944,080,
010,473,195,752,820,620,064,388,794,354,689,613,027,559,652,150,472,830,844,
836,065,378,903,879,052,195,368,886,492,867,465,562,340,125,565,587,232,041,
940,309,344,880,509,181,564,976,498,359,793,527,707,347,542,736,342,062,015,
968,713,204,159,571,724,434,327,558,299,466,032,147,531,951,516,605,534,730,
110,482,216,537,424,377,820,281,685,417,352,995,028,164,713,095,437,589,286,
790,463,854,771,889,245,597,561,327,910,233,073,319,984,630,412,118,584,356,
149,811,761,927,385,631,065,942,454,688,654,464,620,269,145,925,589,117,930,
506,813,704,781,706,652,578,122,350,805,029,637,734,075,618,176,616,095,964,
838,112,015,657,325,961,652,303,278,469,997,493,953,289,873,213,337,341,833,
682,706,824,575,031,461,426,180,473,360,034,416,032,527,292,750,669,408,728,
868,121,511,189,334,981,481,399,901,351,380,174,540,911,069,954,197,144,302,
118,506,987,936,620,054,205,039,811,189,154,636,216,750,000,351,274,911,830,
602,784,129,017,466,838,213,358,709,830,310,344,308,769,105,446,171,843,009,
566,521,183,946,462,419,368,424,168,214,855,011,751,116,937,472,939,316,076,
214,996,642,175,442,724,867,498,269,294,715,270,763,617,885,742,672,986,532,
580,672,185,458,127,082,685,689,326,133,852,830,785,846,075,124,957,314,304,
887,881,982,002,659,913,746,571,642,500,422,985,336,558,764,816,691,374,826,
079,130,105,927,181,258,649,671,217,972,040,019,936,327,781,834,646,156,841,
568,401,936,167,568,512,044,840,728,227,531,365,563,404,901,386,362,842,276,
459,347,078,000,679,523,082,321,273,409,669,075,371,089,348,820,484,933,383,
463,332,211,168,058,405,595,601,413,254,218,974,942,549,854,705,355,304,405,
664,096,735,324,445,258,838,188,988,074,722,526,749,939,326,068,635,775,232,
574,856,494,824,452,391,831,136,111,470,431,749,623,592,811,903,075,641,518,
760,253,925,134,355,382,210,312,779,227,481,071,593,362,019,102,907,195,642,
696,218,231,461,983,843,187,474,373,136,060,014,990,898,454,727,088,465,083,
692,256,063,854,455,584,578,095,629,123,170,951,063,553,297,490,174,988,450,
015,665,523,146,983,447,507,007,838,228,794,170,030,291,232,923,069,315,128,
138,281,327,173,665,549,651,944,694,930,228,768,472,731,014,319,669,744,505,
265,753,538,808,099,634,986,960,429,139,999,364,899,541,766,887,058,853,954,
631,226,617,798,391,480,177,996,272,297,376,930,257,282,464,374,955,850,080,
433,572,764,472,732,197,264,423,968,850,943,801,804,847,347,590,901,212,069,
894,752,515,985,021,959,688,471,942,503,184,180,152,193,887,273,265,234,052,
721,398,086,821,662,610,807,249,667,089,067,554,218,541,812,828,416,497,081,
335,187,819,199,351,514,009,718,008,759,130,364,014,336,086,290,575,800,369,
558,096,268,745,826,009,260,190,889,483,823,272,113,385,300,731,388,183,868,
824,970,080,516,928,050,942,852,393,543,393,155,349,135,401,146,766,519,047,
247,154,559,414,715,875,479,730,922,476,955,145,781,712,858,957,440,743,509,
215,539,564,167,314,139,182,034,696,952,197,070,334,837,016,663,237,138,288,
694,164,848,189,131,130,894,129,707,892,158,644,278,801,177,717,963,471,726,
600,551,189,379,667,528,289,405,098,531,963,742,571,090,183,564,405,672,386,
687,372,234,935,567,292,076,583,574,677,890,229,095,532,391,741,048,893,797,
866,339,812,115,673,484,059,242,538,307,368,370,402,171,705,608,815,950,201,
611,071,863,361,662,044,526,890,474,965,733,735,028,471,527,151,510,567,679,
950,453,915,680,871,692,388,258,344,493,741,804,855,820,710,729,671,412,451,
994,075,682,014,464,824,958,352,507,761,710,386,048,313,871,023,800,790,336,
921,317,332,167,944,800,980,020,842,948,565,848,156,485,846,140,106,340,972,
198,529,156,059,679,609,937,445,957,342,264,009,855,956,590,536,553,653,654,
517,705,692,577,512,656,395,291,235,521,431,216,651,615,242,925,099,163,146,
886,921,740,392,739,744,251,430,939,541,576,894,032,979,308,795,147,258,437,
279,799,528,291,925,078,303,922,391,692,271,982,035,063,745,376,359,878,391,
023,546,379,842,801,387,094,957,325,631,894,075,797,122,951,258,741,036,051,
237,982,516,510,270,861,795,139,408,274,700,775,297,834,570,926,758,076,903,
042,492,317,046,755,571,782,674,565,608,468,639,716,203,553,990,328,638,369,
875,737,475,531,956,646,849,656,660,818,689,311,629,782,180,516,420,601,867,
801,699,893,983,253,107,051,901,218,871,250,629,195,708,466,377,788,069,126,
798,439,981,680,518,818,419,081,192,241,657,913,447,590,531,923,383,703,358,
059,616,662,547,566,606,010,020,409,143,438,790,133,385,934,102,650,473,728,
660,570,577,413,471,220,463,883,308,030,628,996,334,636,538,251,547,870,240,
332,477,420,806,356,280,100,655,095,219,401,725,609,695,734,315,360,212,293,
763,715,594,896,380,493,741,753,105,349,163,015,027,789,599,425,455,529,003,
288,696,188,500,604,272,661,571,105,389,846,137,342,515,122,604,161,381,072,
178,834,940,474,892,123,691,546,582,505,832,254,610,663,542,073,863,689,564,
045,003,187,874,954,417,187,101,197,064,008,928,673,809,822,395,571,945,133,
577,962,719,479,293,732,281,064,803,044,225,845,115,672,466,588,609,042,667,
590,166,073,658,862,958,408,308,146,839,756,243,985,169,652,677,412,626,440,
042,207,875,562,897,068,149,302,595,505,094,645,532,544,319,781,010,166,681,
682,184,453,881,365,586,226,635,827,255,882,523,286,339,556,233,897,173,144,
022,596,805,520,227,378,033,072,853,703,619,559,710,350,905,155,724,282,015,
807,270,488,616,781,428,961,689,375,328,695,111,151,501,933,566,673,023,527,
111,644,411,600,401,087,316,734,715,449,795,078,329,407,949,541,538,582,782,
702,320,144,544,354,463,131,800,408,988,250,377,626,854,838,781,965,019,952,
520,164,900,223,636,569,346,855,954,398,240,866,744,307,546,644,475,056,637,
359,569,816,750,058,307,997,967,961,627,035,939,651,317,628,704,091,768,228,
453,679,378,371,288,349,914,606,946,930,411,498,586,384,166,824,432,445,363,
326,580,659,466,507,416,386,156,563,099,409,885,942,758,002,443,415,636,379,
078,147,917,695,107,848,582,923,493,690,350,472,680,054,111,354,784,810,799,
346,292,545,493,453,970,735,635,740,484,809,132,382,922,175,477,866,920,403,
925,647,915,449,969,444,033,121,269,918,249,973,748,167,490,818,822,557,902,
207,677,498,344,735,094,940,770,291,946,891,778,038,740,310,048,272,530,563,
956,384,663,948,932,379,572,972,080,901,239,191,288,629,961,532,317,847,525,
961,864,095,392,953,538,340,077,507,422,886,210,454,773,412,664,874,536,642,
994,930,977,512,156,037,258,706,563,373,208,844,458,275,173,106,553,216,630,
779,721,027,170,990,138,270,668,469,331,907,885,590,537,838,872,889,848,357,
716,978,221,098,819,596,188,818,405,942,310,373,887,075,682,493,208,542,920,
432,402,980,182,171,019,765,132,696,510,861,868,513,506,821,111,308,549,780,
795,926,854,285,563,829,416,475,147,677,513,300,555,735,560,691,867,530,334,
065,797,730,611,692,005,813,856,673,267,235,700,515,607,990,066,266,921,244,
086,257,446,509,929,046,134,569,949,909,490,792,185,074,417,064,773,655,326,
395,134,074,276,287,680,156,740,060,515,607,268,257,007,724,437,030,276,050,
019,867,217,117,021,393,425,636,429,640,526,545,891,818,226,782,936,525,212,
098,660,867,248,329,185,799,853,562,708,677,680,455,307,235,485,745,969,473,
394,744,920,920,350,414,990,597,779,406,505,594,645,498,002,111,329,693,202,
071,953,437,275,123,632,712,482,348,691,517,976,073,560,348,064,779,684,977,
579,998,103,460,260,153,056,163,915,486,451,920,195,576,483,585,657,886,585,
828,827,434,389,689,829,844,809,777,576,410,495,902,018,069,920,532,177,965,
286,281,253,559,411,192,348,168,378,900,149,706,907,703,248,314,384,176,319,
740,156,155,602,022,206,823,525,545,341,405,523,608,749,243,680,881,395,799,
951,258,839,652,382,851,070,242,727,200,121,667,483,053,045,094,746,101,964,
535,927,685,526,443,635,886,611,685,535,179,282,450,382,436,280,880,946,856,
029,476,290,539,911,945,717,933,831,522,704,322,565,806,087,712,371,550,580,
248,447,111,691,935,414,621,505,392,312,460,896,558,536,114,304,872,804,248,
164,902,200,538,856,293,604,568,973,665,201,774,920,280,693,495,215,122,231,
153,929,038,747,803,508,446,991,668,928,019,524,538,367,924,907,255,660,197,
053,000,369,374,448,762,595,098,175,259,358,656,027,548,690,292,274,155,173,
080,439,604,417,521,543,595,721,740,429,144,304,737,868,168,691,738,080,784,
159,262,832,910,150,322,570,997,140,069,607,373,395,706,615,055,168,762,022,
373,036,722,841,702,293,152,712,116,347,445,093,600,421,950,773,228,000,422,
292,986,241,454,745,090,428,091,799,884,985,738,386,614,063,129,313,730,068,
978,618,896,153,614,239,834,359,360,269,381,215,171,830,463,962,175,164,649,
267,734,894,367,970,442,611,098,529,347,753,217,690,662,050,952,490,495,430,
916,130,535,387,377,780,247,137,914,337,737,496,239,248,004,923,775,111,521,
344,460,505,194,383,219,033,421,862,057,576,692,737,281,992,505,463,166,255,
876,309,784,347,878,484,779,419,304,859,159,917,499,563,761,014,927,383,128,
915,074,518,389,980,718,378,850,851,115,631,717,458,316,182,311,326,422,557,
397,787,869,267,884,439,187,334,072,173,584,763,627,383,999,641,987,293,854,
818,279,686,907,537,287,480,857,160,539,428,150,260,996,877,150,610,875,803,
430,153,079,335,567,158,042,052,308,693,032,614,972,838,491,068,245,052,120,
469,804,947,037,669,126,663,020,967,374,991,724,713,612,037,834,143,662,570,
329,462,427,106,208,037,407,255,937,223,515,464,739,115,418,086,526,313,145,
340,488,046,088,648,427,029,695,195,579,490,287,702,142,306,707,564,146,847,
323,898,998,744,365,154,233,918,190,607,118,585,111,735,500,852,613,189,669,
385,181,768,256,530,987,281,260,422,569,773,920,942,062,647,485,600,405,074,
543,838,716,990,197,393,671,055,003,609,924,093,897,382,915,504,543,854,900,
450,053,761,707,257,506,681,097,505,799,464,255,898,629,288,539,864,550,584,
720,842,129,438,460,288,829,224,706,101,249,086,217,321,515,942,359,618,282,
000,015,970,067,381,978,390,717,440,572,475,702,771,818,988,273,814,272,863,
777,740,263,454,182,663,752,249,032,502,055,000,770,818,323,768,081,158,038,
610,793,536,712,962,620,579,089,808,551,095,046,658,378,334,922,644,110,214,
603,314,864,081,602,197,129,411,231,947,305,647,565,333,727,078,247,885,725,
516,723,292,137,879,978,180,910,152,371,120,212,993,620,972,214,135,063,987,
724,013,092,944,444,254,223,550,204,511,785,267,161,156,719,675,711,303,685,
201,754,189,618,451,097,141,833,698,221,506,438,833,802,668,896,909,377,526,
995,976,564,509,512,276,429,041,346,765,277,615,661,668,811,532,013,886,565,
006,581,565,500,734,245,335,320,592,925,168,663,034,658,260,169,383,151,943,
641,126,524,483,187,483,076,074,771,406,172,821,659,617,424,797,367,549,090,
818,717,907,336,975,345,649,271,404,651,757,126,099,938,267,079,677,510,977,
321,852,212,626,377,508,313,294,653,164,043,263,718,858,561,213,204,612,615,
778,963,941,396,729,255,205,208,183,309,590,983,493,555,616,649,872,448,478,
041,481,080,505,051,318,059,794,953,927,682,011,356,549,338,819,398,382,810,
465,346,380,384,118,956,163,812,315,594,265,183,297,405,051,910,199,940,386,
283,602,211,532,900,818,860,215,794,270,252,052,713,068,007,970,809,318,844,
015,277,114,422,315,658,987,236,838,893,243,208,851,823,022,741,158,033,232,
682,533,114,768,363,939,161,220,890,563,301,796,071,165,014,337,561,392,631,
382,124,740,538,959,955,869,551,628,196,771,252,713,347,233,566,898,182,991,
361,906,838,582,247,252,403,611,304,022,948,291,391,590,601,863,567,983,579,
077,710,896,550,922,566,773,725,265,302,644,238,911,932,716,438,365,758,085,
481,070,080,934,559,659,463,265,503,571,834,534,656,924,251,393,336,655,031,
390,549,579,764,041,701,735,713,785,346,767,753,928,485,526,848,075,102,736,
855,458,572,249,329,877,465,548,128,979,647,751,264,133,053,034,974,944,301,
570,752,945,150,918,875,188,105,851,356,567,395,525,084,636,142,967,641,917,
051,624,702,235,999,255,299,328,391,484,693,026,443,765,490,573,409,109,517,
855,544,026,525,976,005,061,984,332,651,381,488,221,740,671,486,496,637,955,
444,019,942,180,310,260,926,791,071,311,598,340,946,039,806,028,092,139,708,
654,397,592,168,297,416,940,127,094,199,460,211,549,822,463,837,544,725,447,
235,568,070,626,390,377,391,199,972,767,860,296,866,059,899,871,155,605,158,
696,684,346,119,089,554,383,387,034,480,323,414,632,155,587,941,253,586,512,
379,946,226,844,406,911,149,554,546,859,039,653,314,592,754,744,313,096,775,
425,155,824,786,432,840,620,503,596,805,807,620,421,906,541,709,133,657,184,
755,991,040,390,745,832,179,488,425,511,465,701,077,422,110,958,317,595,716,
616,699,190,732,914,912,443,227,433,542,862,035,408,937,493,449,996,637,528,
401,097,478,750,820,978,220,362,734,620,857,644,694,751,898,121,757,555,228,
638,905,265,883,110,275,363,738,015,296,084,724,763,617,331,694,429,955,690,
895,242,453,090,974,959,332,976,510,465,627,788,741,540,866,568,853,253,770,
655,003,707,589,658,350,135,784,442,928,126,340,358,457,308,918,853,295,942,
117,972,610,471,396,851,867,323,843,217,151,403,726,599,954,977,081,228,210,
139,640,319,164,658,461,616,914,248,745,325,948,760,654,340,388,873,104,665,
261,176,538,262,258,189,442,190,445,698,717,263,275,583,479,181,441,354,917,
912,024,013,969,309,375,619,351,463,305,732,557,562,812,763,159,952,089,270,
497,437,736,295,941,368,442,665,107,482,972,498,633,347,594,461,023,065,482,
876,698,671,590,918,128,816,377,969,726,826,038,130,538,512,226,465,205,155,
971,140,424,284,020,860,810,265,122,064,160,752,021,968,479,791,181,114,776,
670,578,472,539,545,249,970,327,130,722,806,791,109,067,570,331,817,050,326,
790,440,581,195,712,462,179,906,371,306,190,273,769,129,067,278,655,160,558,
760,917,514,417,557,512,430,251,598,112,003,121,284,038,015,403,207,949,898,
557,826,721,015,868,051,240,686,426,584,132,916,457,270,186,424,266,386,497,
580,895,663,988,489,815,352,081,127,323,143,822,112,609,090,343,183,498,711,
501,244,080,688,741,193,627,066,838,704,292,775,877,237,406,833,618,559,302,
933,574,143,481,888,232,381,847,915,196,851,422,042,819,739,821,158,810,311,
222,916,639,387,408,179,299,298,526,458,753,866,176,498,337,358,830,363,839,
242,772,284,578,058,506,127,059,159,021,253,195,899,287,904,230,699,355,120,
358,563,346,619,345,182,440,545,361,998,865,086,201,337,408,189,702,091,835,
036,824,195,518,514,361,172,794,834,124,666,992,879,803,319,418,444,607,506,
726,552,442,315,624,381,987,698,536,837,457,674,433,282,819,557,012,697,706,
945,465,498,504,304,924,115,866,360,881,779,899,283,941,056,293,668,502,560,
529,776,813,895,444,503,421,109,798,852,130,106,013,040,108,994,203,726,734,
191,391,166,291,940,515,782,290,607,308,367,978,132,562,951,204,543,428,821,
543,489,180,613,462,966,316,575,723,177,421,319,978,911,043,568,214,654,423,
556,378,328,500,473,392,864,598,821,010,084,699,183,362,607,976,095,748,591,
768,453,215,941,748,596,244,293,296,016,287,193,208,757,476,591,408,044,140,
346,735,251,468,908,720,529,308,586,934,614,283,797,776,481,694,173,992,561,
517,385,186,452,338,849,544,582,607,916,548,923,316,119,516,114,224,511,011,
606,528,737,773,083,123,859,882,866,547,078,931,985,036,654,650,134,086,627,
481,230,813,322,388,378,428,028,136,671,162,234,561,333,377,765,764,012,130,
466,323,995,880,715,318,402,473,014,912,355,701,818,141,794,499,350,759,619,
206,646,448,240,205,559,557,622,793,696,460,954,786,955,291,568,342,906,218,
282,293,912,441,495,613,313,084,053,806,334,764,614,560,246,175,545,843,454,
679,060,903,295,310,988,657,323,834,730,386,929,095,457,314,656,609,311,142,
091,477,496,330,243,541,732,344,546,518,532,889,208,706,423,069,497,297,585,
545,267,300,463,036,598,833,542,178,537,179,550,183,259,822,234,694,443,879,
027,258,969,378,432,191,221,153,822,478,926,659,353,105,485,577,147,572,140,
615,833,533,464,055,048,948,705,637,913,949,265,556,247,312,339,853,041,956,
241,539,214,599,358,887,571,323,484,806,848,926,668,392,425,364,387,979,783,
035,588,804,803,573,822,591,490,844,325,753,519,043,923,662,996,664,796,633,
629,774,740,810,084,215,999,951,419,111,671,361,888,163,978,813,024,636,874,
110,721,410,490,810,826,668,733,724,056,883,792,348,452,366,164,441,792,356,
452,385,374,361,265,568,106,033,209,143,641,886,010,581,846,996,919,135,309,
452,671,251,729,055,896,610,373,620,740,818,967,142,875,845,282,807,282,803,
875,915,336,189,576,787,179,670,865,347,451,940,476,749,143,445,222,298,837,
873,451,162,509,728,931,890,692,210,886,443,108,048,116,748,547,129,904,086,
863,182,674,834,461,693,168,798,167,855,069,444,236,849,885,914,318,625,734,
589,170,151,241,220,105,026,647,598,872,203,116,440,733,601,021,284,068,570,
179,218,357,975,746,320,290,365,034,557,114,695,079,980,638,412,135,681,857,
482,499,763,351,885,295,501,071,341,803,131,030,607,770,901,511,271,475,710,
176,307,670,847,774,935,688,473,023,124,624,945,321,241,019,769,814,682,125,
033,418,183,943,488,482,088,372,285,143,216,678,709,625,189,168,206,774,353,
238,568,526,141,409,799,759,806,839,111,571,867,132,691,909,691,536,556,531,
963,383,053,550,233,151,614,362,118,392,955,434,016,420,716,722,488,441,982,
188,038,530,658,343,342,872,870,774,145,832,390,804,809,411,934,439,373,709,
927,268,015,554,659,811,691,115,134,269,289,437,987,588,233,539,253,911,525,
027,341,874,430,998,372,860,122,464,956,995,132,606,110,999,460,994,533,137,
442,596,371,468,230,501,290,818,839,345,819,850,751,121,615,389,288,107,638,
746,749,303,415,391,102,863,959,669,805,726,019,903,974,128,146,540,653,431,
289,853,027,154,791,356,393,228,205,094,377,217,552,866,686,238,076,632,223,
132,632,918,989,032,447,490,544,479,350,566,967,630,005,262,288,845,215,060,
538,229,472,264,720,282,541,139,141,756,286,518,426,830,992,580,882,481,393,
974,075,971,322,816,387,867,004,544,456,128,280,337,269,414,547,468,080,880,
639,381,893,104,903,612,737,354,184,330,206,826,662,159,229,506,486,440,003,
326,422,727,342,719,366,762,630,140,997,798,436,791,373,750,774,057,039,365,
633,988,770,195,222,616,340,853,783,794,417,774,276,612,206,188,605,468,318,
108,140,246,331,135,860,338,337,266,724,171,687,793,182,067,320,067,601,619,
702,475,473,945,795,701,844,527,272,994,376,812,172,085,942,931,959,119,620,
481,834,807,396,458,380,624,492,366,151,398,188,793,968,232,645,230,624,654,
777,579,815,679,824,371,371,149,766,323,058,682,003,331,200,742,509,383,297,
468,072,605,334,409,751,861,799,647,255,514,708,988,966,749,280,021,154,445,
861,455,127,145,386,251,607,691,634,736,580,048,975,014,216,389,317,140,052,
637,568,676,400,622,620,270,710,749,257,701,530,182,159,193,768,193,863,329,
235,509,219,209,699,292,436,937,239,905,156,120,179,331,220,430,241,478,052,
304,190,607,506,186,625,618,450,899,433,095,995,857,422,141,205,073,722,568,
928,408,882,905,378,031,316,655,163,918,334,570,693,750,396,546,697,138,058,
930,677,919,353,819,127,156,067,792,065,073,111,657,379,134,806,325,009,457,
894,727,316,527,288,781,748,579,612,931,406,914,058,940,429,299,429,772,986,
193,809,044,595,479,430,882,259,574,824,323,370,108,415,209,677,905,201,217,
868,011,316,185,523,528,941,546,732,759,830,138,257,647,114,519,143,232,736,
245,784,266,009,801,359,883,491,390,800,129,920,953,327,335,425,158,543,287,
993,728,026,581,047,940,023,707,594,315,112,214,185,371,848,552,718,805,058,
390,838,349,628,429,566,583,804,666,826,486,405,068,101,148,038,424,734,156,
001,376,339,076,010,809,246,150,251,109,374,419,582,555,479,384,488,186,879,
148,465,071,625,762,283,668,624,597,336,384,435,985,721,613,914,248,315,480,
731,724,626,063,219,791,520,446,752,778,023,816,123,943,947,851,035,015,113,
644,164,260,110,040,395,298,671,629,387,460,543,142,583,481,814,311,472,200,
269,504,516,098,885,235,629,788,038,341,676,410,982,451,281,045,054,456,581,
247,290,119,595,291,635,630,389,641,927,280,989,979,073,436,037,521,087,262,
146,038,091,536,064,677,837,727,134,145,098,402,343,204,843,019,243,376,009,
230,573,930,871,533,479,434,703,791,348,625,706,349,851,217,088,948,911,423,
418,203,744,104,231,645,012,538,336,119,889,264,002,391,637,885,272,956,096,
733,087,394,516,679,449,271,549,663,254,829,364,692,452,152,825,267,902,485,
731,862,465,528,213,418,807,835,618,439,857,254,861,434,795,332,135,858,352,
504,600,499,174,082,970,065,830,253,544,343,747,848,202,915,802,378,472,033,
247,785,392,762,422,386,695,570,694,437,795,463,027,461,117,772,766,009,206,
734,232,514,278,365,610,414,156,625,844,800,770,609,241,705,717,559,965,056,
080,646,912,147,555,952,175,284,587,030,350,974,605,787,659,766,756,990,157,
897,775,318,720,567,572,048,264,761,127,164,435,112,899,818,051,215,471,304,
042,209,450,170,425,618,823,032,629,900,892,230,309,807,264,379,106,249,818,
515,325,603,704,697,291,383,517,839,581,921,816,242,965,759,282,454,295,484,
349,543,706,874,098,189,286,724,204,340,022,175,236,342,100,598,678,679,756,
675,383,174,583,595,212,651,028,716,257,281,976,039,143,073,108,786,141,836,
615,207,820,576,524,895,707,807,636,773,577,022,469,978,298,173,859,196,475,
290,678,019,318,622,978,637,437,330,537,015,493,869,273,464,399,855,491,774,
194,915,358,907,073,080,371,379,429,944,779,488,606,092,527,310,104,260,520,
331,125,525,634,490,643,586,753,887,757,636,484,407,173,043,137,502,373,532,
822,730,045,388,529,063,411,986,083,838,278,645,984,309,023,554,768,041,157,
279,518,707,682,612,754,800,637,880,241,752,819,401,930,635,290,054,482,109,
494,329,625,758,512,291,890,394,906,566,423,468,839,575,115,746,939,443,449,
372,738,574,047,920,346,204,012,548,472,576,883,717,749,959,206,882,724,627,
088,855,733,619,252,694,953,924,648,663,257,615,650,849,773,455,575,658,128,
409,468,173,592,702,433,962,482,507,845,338,776,782,172,944,334,011,928,484,
406,152,533,168,255,143,558,673,367,182,681,556,070,612,014,639,963,475,938,
493,287,634,611,167,944,549,395,961,479,371,014,868,609,506,222,236,159,893,
797,309,784,548,286,048,074,026,490,876,327,199,038,977,693,139,582,403,384,
412,809,541,532,442,704,238,973,654,928,845,427,713,794,604,609,534,574,813,
334,123,660,311,069,652,163,798,010,786,404,380,508,763,357,457,098,242,087,
996,790,989,364,453,619,880,569,484,428,310,967,033,365,737,072,505,556,201,
689,460,281,700,037,213,033,713,463,505,183,777,439,665,700,812,444,142,807,
055,323,327,261,999,275,692,004,625,079,430,048,170,092,683,023,548,423,196,
653,115,913,410,341,391,941,817,130,561,044,667,377,912,269,343,717,338,209,
831,542,178,279,615,567,189,723,374,513,933,145,712,490,063,837,740,106,983,
755,088,396,877,699,177,688,563,294,518,350,614,353,810,227,956,954,726,013,
136,182,517,008,236,729,961,134,252,096,632,016,155,599,574,126,366,368,129,
555,487,739,532,078,627,896,758,309,540,436,393,765,908,968,790,474,992,725,
895,072,042,938,729,759,426,805,569,893,302,249,204,988,032,707,003,796,963,
859,698,283,527,702,671,414,857,636,638,125,813,410,014,929,550,542,647,157,
604,254,452,957,897,076,696,245,336,773,642,487,231,696,789,496,942,779,200,
715,624,805,119,810,980,379,723,255,350,657,965,937,917,150,120,377,667,131,
585,283,516,412,222,161,589,022,046,327,401,154,613,315,784,001,725,675,140,
089,684,288,325,580,142,219,676,811,490,401,114,329,059,155,076,470,569,595,
044,896,964,025,806,151,292,163,470,740,756,547,631,615,666,619,587,401,891,
585,283,134,617,230,473,207,086,642,339,659,109,712,676,274,133,451,626,967,
234,513,591,999,406,876,621,905,599,886,671,853,172,362,917,053,204,416,427,
599,105,062,517,636,514,785,733,197,057,408,893,111,055,422,949,056,010,063,
744,774,915,613,267,107,389,547,619,446,125,709,329,047,761,269,677,197,012,
846,456,356,139,127,591,431,791,979,271,569,057,200,228,001,150,319,313,560,
419,701,299,407,489,079,517,597,629,134,380,005,930,333,347,672,204,712,318,
063,150,760,138,189,710,934,548,249,003,544,131,029,761,125,036,585,502,127,
528,873,385,596,417,398,928,545,482,669,898,262,821,223,666,617,311,108,033,
793,754,047,679,107,548,430,588,293,196,366,237,449,422,045,315,397,514,925,
013,943,199,906,653,973,732,800,082,757,923,955,101,214,277,961,690,438,096,
028,794,042,208,934,876,498,051,866,441,701,723,647,085,372,377,785,000,348,
684,704,380,013,553,458,052,448,102,579,347,845,098,792,501,725,500,875,145,
706,495,131,084,969,951,785,112,246,110,840,098,401,997,170,936,113,773,364,
848,557,740,254,960,993,247,734,522,316,440,995,974,369,103,487,867,872,091,
456,192,409,248,511,354,736,567,239,073,615,686,324,036,317,032,968,740,209,
945,960,044,405,481,833,288,220,958,731,568,123,271,254,856,193,926,933,617,
669,836,117,440,547,649,097,395,117,702,078,508,857,904,454,368,257,099,341,
340,629,662,307,172,503,133,426,228,330,925,027,060,924,804,942,487,900,709,
192,384,196,909,222,890,376,376,167,241,217,052,488,011,264,464,988,460,706,
032,118,367,041,449,931,076,851,160,591,373,305,360,527,462,492,854,933,596,
205,022,137,219,445,899,283,507,238,351,430,702,197,069,220,181,480,817,750,
028,374,952,394,802,765,531,848,118,607,277,554,818,603,343,654,738,968,973,
321,865,448,310,090,392,737,082,398,242,119,349,052,617,852,416,228,554,715,
889,958,333,497,728,038,499,140,208,563,020,383,409,991,529,079,427,432,508,
560,452,119,399,774,135,805,336,491,590,415,314,677,678,304,344,043,205,316,
306,570,378,525,116,239,554,416,864,382,135,601,560,144,442,194,868,445,875,
991,134,655,938,995,163,488,626,288,358,655,218,494,388,102,346,024,602,884,
517,229,309,349,519,788,067,503,434,233,275,342,574,127,910,479,621,999,723,
241,510,842,648,831,323,749,965,107,427,852,635,647,681,211,814,085,174,033,
184,817,444,637,540,433,792,242,988,441,679,618,399,556,772,710,318,741,654,
905,473,909,788,745,134,786,049,225,767,073,733,813,543,236,707,948,802,518,
836,418,295,282,757,079,349,241,014,371,066,731,160,491,862,840,609,118,499,
822,584,578,920,784,494,410,676,319,497,445,383,036,784,462,221,832,317,570,
869,644,564,884,818,045,302,938,531,415,550,622,437,512,292,935,205,576,364,
449,774,861,612,346,619,152,169,647,891,130,553,804,973,032,861,341,420,893,
732,061,574,593,416,175,163,590,036,472,787,221,684,475,404,563,270,731,509,
153,937,122,397,380,387,921,813,545,637,654,885,646,116,203,863,610,705,741,
339,837,064,897,773,507,629,926,495,318,772,149,989,263,528,031,053,089,700,
741,921,061,203,837,306,108,032,860,402,999,498,024,243,978,887,382,281,303,
856,374,329,433,090,874,488,113,168,923,185,001,663,546,791,811,572,074,356,
503,727,500,173,616,258,910,734,217,341,819,321,162,407,863,131,391,218,436,
317,136,599,648,427,582,533,168,666,898,685,446,828,197,691,916,692,423,337,
533,854,045,295,796,119,282,971,606,755,997,858,700,275,490,771,206,383,893,
393,180,265,805,731,496,618,312,227,718,182,939,428,168,232,315,481,951,287,
331,026,058,999,753,517,820,119,049,963,657,563,597,970,038,469,525,152,737,
447,854,462,551,214,695,975,811,070,071,745,070,433,620,550,192,621,149,248,
952,691,701,399,248,759,253,816,169,949,230,946,796,153,759,688,334,095,093,
047,926,688,211,556,689,559,451,620,046,477,851,080,456,194,024,321,274,487,
075,719,992,952,720,976,188,637,654,611,468,878,672,165,108,221,460,285,177,
738,956,167,503,000,793,439,076,769,218,117,445,299,108,833,342,576,908,823,
087,551,987,465,883,385,218,079,038,632,058,796,265,105,107,851,264,892,270,
330,959,094,736,622,228,278,070,016,704,136,988,667,710,785,140,333,725,496,
767,439,340,873,271,579,777,342,426,866,969,934,422,281,508,405,064,355,543,
028,831,484,864,957,153,011,682,471,819,914,621,141,326,998,817,005,140,474,
141,121,714,839,539,088,506,735,101,921,370,989,905,751,974,342,569,411,060,
857,397,912,193,505,871,404,835,691,356,701,701,268,966,544,528,786,302,992,
853,715,984,327,791,036,288,628,252,269,493,707,414,976,830,933,831,200,520,
901,201,279,991,889,369,413,101,148,552,690,895,853,669,391,725,237,838,538,
079,739,165,587,382,012,454,145,472,196,957,936,614,338,293,011,998,342,406,
134,964,041,552,562,218,742,551,083,591,897,260,965,786,186,795,292,215,306,
223,412,732,009,798,246,704,924,946,698,135,105,520,934,971,674,357,828,150,
430,843,168,876,173,042,062,011,568,523,449,661,729,268,951,592,884,993,737,
113,000,803,816,486,300,975,529,785,478,275,036,727,702,307,879,377,444,412,
815,871,320,944,483,108,512,447,009,961,200,110,006,248,360,136,416,469,766,
868,748,423,849,910,226,523,336,259,458,344,542,398,997,217,425,861,448,284,
410,880,553,754,853,611,769,872,648,907,419,447,277,860,037,291,238,365,905,
844,121,780,106,953,028,885,134,239,853,030,650,336,722,998,483,679,786,097,
670,206,924,300,024,800,181,941,652,996,505,675,095,277,402,758,756,612,524,
464,647,166,218,014,372,713,841,475,353,041,974,424,565,732,050,684,567,694,
844,428,944,658,466,355,472,857,105,155,030,595,614,324,406,678,239,541,980,
241,852,857,562,966,808,741,397,859,728,611,985,023,755,278,217,000,172,900,
597,758,186,761,975,828,771,503,534,175,034,646,907,956,592,486,472,160,749,
383,205,120,784,554,305,025,181,928,581,942,580,562,570,508,299,857,350,746,
671,536,719,661,460,969,110,640,003,058,490,357,817,297,373,130,678,487,810,
274,928,298,867,153,130,639,799,921,713,422,508,892,651,329,111,487,235,614,
894,614,941,014,220,902,881,967,164,192,717,671,950,981,044,161,393,547,256,
039,431,807,349,025,225,547,087,709,256,607,890,922,021,410,727,723,622,353,
850,735,962,188,453,000,150,786,096,596,820,016,444,754,882,899,080,548,628,
378,767,977,505,901,297,037,308,143,375,354,875,209,527,532,039,233,496,150,
552,408,740,109,223,266,100,849,229,248,833,396,228,724,310,087,020,910,624,
425,479,516,986,765,268,886,225,485,323,372,791,060,210,879,713,267,795,796,
821,477,253,976,458,254,055,100,025,110,589,766,661,532,079,018,397,833,056,
487,435,119,679,640,703,147,160,361,624,185,541,680,846,976,707,138,509,094,
312,409,973,208,961,056,787,145,653,443,852,868,698,070,237,018,399,997,816,
883,194,752,037,799,850,189,305,322,460,848,017,622,641,465,023,612,617,515,
180,625,972,263,520,720,387,563,812,140,999,036,990,442,578,661,020,526,529,
430,659,976,553,860,905,610,386,601,443,663,267,422,445,861,416,908,053,241,
084,647,972,805,020,315,919,138,611,950,556,778,577,171,781,085,686,684,497,
065,805,554,563,223,834,038,179,405,253,361,159,026,953,492,865,649,782,987,
392,470,261,820,448,637,035,479,978,959,265,849,744,960,373,666,600,622,365,
515,946,158,143,111,196,065,356,154,394,930,874,421,597,637,794,105,780,816,
922,359,044,333,954,798,862,829,994,332,820,508,253,726,944,566,459,105,403,
784,414,778,544,523,717,995,587,769,915,595,569,010,837,536,710,981,166,479,
978,839,627,540,290,477,829,556,598,077,831,091,596,990,385,468,106,680,406,
817,355,837,839,314,475,387,912,990,891,309,116,961,383,854,510,471,647,785,
432,005,002,732,640,833,439,074,852,075,129,164,438,112,160,615,390,585,972,
574,735,419,833,069,810,666,475,474,387,755,228,782,665,616,925,274,304,054,
351,791,914,931,811,736,505,879,178,303,644,391,153,920,761,702,931,753,592,
727,936,058,442,280,472,134,813,825,932,070,531,500,419,878,484,934,664,432,
288,135,342,490,145,429,292,527,427,218,018,757,285,725,865,923,941,840,540,
834,500,434,237,025,971,783,990,837,223,756,102,296,804,100,008,156,699,443,
556,707,444,284,651,104,281,870,690,402,508,587,192,947,222,618,796,862,343,
798,622,118,123,909,039,572,458,772,733,049,593,390,729,555,174,669,112,662,
895,238,191,982,944,709,091,794,868,061,724,493,059,300,474,059,785,369,009,
358,215,705,691,033,943,013,768,505,912,051,515,431,330,205,061,698,526,314,
721,575,523,116,176,208,267,541,954,366,805,842,725,677,233,384,223,235,421,
300,653,688,298,572,037,454,697,936,140,367,221,906,462,464,187,129,284,370,
621,025,188,409,745,619,439,367,808,899,288,959,785,938,004,964,471,748,880,
527,356,897,317,388,931,159,506,345,024,719,523,130,523,155,760,559,313,543,
291,834,627,314,075,863,719,407,813,031,648,942,560,868,462,702,143,377,190,
127,150,488,464,092,311,662,912,204,906,847,646,442,465,345,621,971,733,531,
528,584,382,002,964,771,256,687,571,970,884,942,846,704,965,508,204,862,747,
428,155,781,573,074,617,907,082,877,197,618,754,432,053,798,987,646,758,561,
744,989,084,760,112,377,066,017,348,622,166,013,099,212,769,391,649,406,120,
320,648,245,573,012,994,813,228,285,394,274,446,710,804,109,045,045,330,363,
289,892,841,769,460,116,923,264,159,588,780,563,770,960,657,647,452,776,571,
153,204,189,057,522,701,131,752,857,855,961,830,287,153,563,444,540,447,196,
164,617,577,301,560,687,831,142,576,967,364,530,926,324,862,803,239,861,800,
918,981,269,831,169,139,004,420,732,947,481,376,217,501,838,774,851,439,133,
076,820,780,124,617,207,673,460,099,629,631,217,865,678,361,795,353,180,811,
054,381,072,371,545,876,415,173,491,665,993,427,369,745,969,132,222,559,045,
711,941,878,801,042,860,192,722,043,468,494,490,213,699,463,861,840,570,647,
788,255,672,511,950,188,014,544,386,646,800,906,631,096,558,759,967,283,947,
584,557,393,985,384,683,188,934,132,677,046,448,160,554,245,200,572,164,957,
250,409,371,326,438,928,873,891,617,742,528,002,895,951,816,946,193,298,530,
130,558,436,829,276,620,789,597,209,893,574,156,466,904,899,251,250,940,478,
088,058,439,374,174,155,220,320,252,894,663,771,693,608,063,840,662,925,993,
327,828,594,584,701,900,663,207,957,458,648,966,915,925,196,658,747,613,784,
533,150,841,940,087,692,053,762,952,269,912,192,025,417,299,935,725,418,433,
661,074,403,435,187,562,612,028,154,802,624,436,691,637,473,319,176,749,593,
493,497,509,749,961,721,879,817,926,711,257,866,743,983,771,645,320,934,001,
484,851,379,330,357,674,166,366,745,143,121,279,414,254,341,640,625,759,261,
847,680,066,601,901,530,972,270,743,322,978,064,278,596,924,789,529,487,270,
942,946,596,216,806,887,808,415,510,103,944,543,441,879,306,253,854,482,378,
894,819,153,499,000,344,493,862,014,221,772,447,417,963,482,293,401,170,782,
895,644,200,573,727,079,449,256,344,249,608,592,927,727,276,108,804,029,726,
688,378,900,768,551,754,257,436,794,738,240,346,904,665,119,446,495,938,414,
004,624,146,734,252,389,894,957,415,219,186,451,631,406,818,268,993,182,416,
596,102,429,770,373,442,416,988,061,773,890,491,394,450,411,337,602,852,060,
773,706,181,754,393,046,676,521,862,865,179,026,456,285,649,910,245,179,861,
998,426,431,267,908,559,846,377,767,658,304,120,173,698,195,104,942,734,668,
252,824,066,287,069,001,331,562,576,669,623,351,054,794,356,435,272,201,301,
906,155,723,767,282,134,591,808,790,430,071,025,132,270,845,188,930,877,842,
741,865,261,567,389,109,266,177,309,089,794,450,906,490,477,737,852,548,076,
517,782,275,634,338,202,937,864,285,849,982,172,799,880,793,520,099,363,302,
737,764,525,602,922,428,140,472,976,958,175,291,404,110,601,491,072,135,093,
632,878,427,513,394,785,990,712,783,381,353,219,766,256,554,119,771,386,479,
941,935,645,814,823,661,376,243,930,909,981,570,137,189,513,923,794,224,284,
872,177,101,989,682,605,888,486,798,306,297,720,003,261,181,114,657,534,735,
429,573,348,771,675,723,543,908,998,518,182,912,620,712,690,729,630,831,452,
452,051,949,911,046,954,517,329,393,557,952,182,730,603,193,352,066,732,412,
100,883,422,887,590,044,746,861,092,026,483,642,700,220,423,697,738,017,285,
962,805,454,046,085,364,139,317,029,433,791,831,812,303,188,211,107,190,333,
870,462,100,904,392,651,445,858,032,022,766,480,221,499,471,504,334,018,406,
832,757,710,606,453,395,935,353,215,247,490,447,857,200,895,187,194,756,533,
779,584,891,898,215,179,225,598,502,260,445,118,256,554,386,133,373,044,507,
057,774,670,022,320,241,500,935,872,079,384,675,304,233,839,769,961,262,523,
299,165,257,441,741,780,976,884,893,751,719,847,611,038,066,869,860,036,845,
491,114,403,352,123,431,132,622,066,214,772,071,709,880,247,309,266,915,806,
319,835,084,472,903,898,575,630,339,277,140,870,293,868,239,452,117,636,951,
797,673,962,195,681,249,926,524,707,456,599,662,297,203,134,585,701,677,349,
047,144,311,430,695,656,651,679,895,853,184,957,484,831,030,845,138,602,216,
323,855,942,419,232,506,766,461,154,671,110,378,574,918,461,102,709,371,681,
176,129,984,438,583,013,336,532,733,819,587,971,946,490,742,727,742,390,808,
155,984,736,407,354,326,187,055,083,863,988,048,823,923,880,430,831,695,694,
032,670,442,248,148,233,969,372,368,024,733,634,387,051,106,386,073,465,530,
786,521,384,098,782,523,533,078,623,804,487,450,874,334,146,973,611,031,706,
293,322,772,570,093,244,870,052,041,958,911,606,792,291,646,265,829,635,074,
166,649,919,090,589,342,551,322,670,548,973,591,583,110,204,260,052,381,323,
066,717,545,218,330,969,106,536,650,343,575,615,058,596,011,669,852,236,738,
046,119,047,087,681,748,795,095,144,238,219,558,690,916,917,741,486,701,551,
654,975,225,574,913,846,568,859,982,975,632,289,841,104,473,093,797,707,826,
925,993,701,155,436,197,519,385,917,187,611,485,555,481,180,283,289,099,811,
183,916,748,711,747,550,792,278,691,247,138,835,097,250,521,452,389,080,172,
743,538,638,262,190,225,398,095,771,226,375,486,321,567,163,017,278,782,546,
864,896,858,146,318,178,607,972,511,160,892,663,576,780,943,362,639,862,187,
377,048,798,328,727,248,023,156,135,433,209,543,548,775,567,593,087,001,668,
027,634,594,008,211,057,558,001,959,719,991,114,178,730,177,056,007,431,046,
904,525,190,392,342,795,764,762,557,164,849,855,578,463,848,101,653,606,002,
076,788,754,426,327,346,703,855,861,122,831,776,357,734,597,173,580,394,753,
016,527,805,413,870,910,471,858,321,945,382,543,283,063,762,117,898,963,400,
058,741,859,439,330,929,652,396,261,181,937,406,732,560,535,018,926,441,730,
155,591,607,938,774,128,033,782,967,367,516,246,905,259,079,350,229,483,225,
311,727,332,701,794,754,667,621,164,600,396,114,811,497,764,583,138,875,124,
637,077,338,326,875,626,771,698,294,911,890,351,883,886,156,292,174,457,971,
776,185,707,872,269,607,155,325,296,001,092,326,532,722,697,065,897,050,373,
933,213,824,922,324,095,668,916,400,305,869,081,587,631,727,148,652,041,252,
194,365,977,716,078,926,314,119,053,118,160,382,495,918,177,059,024,832,986,
089,967,098,870,266,681,144,125,544,403,779,952,291,515,488,939,268,048,442,
614,143,060,217,872,432,886,611,543,484,234,315,206,894,368,628,228,083,778,
239,060,785,723,852,857,157,908,203,813,169,849,358,891,236,841,781,982,200,
660,561,916,764,987,302,206,734,365,064,093,949,065,421,907,995,749,855,596,
041,478,345,816,925,358,762,076,953,819,795,531,507,584,531,537,238,018,777,
230,525,663,643,212,097,994,630,081,072,066,852,162,535,427,535,001,463,502,
419,523,640,247,168,209,210,323,384,418,051,952,094,516,898,879,629,485,167,
843,803,225,884,277,677,905,010,058,115,991,073,512,092,813,202,283,231,251,
719,497,952,227,885,159,711,916,916,623,873,987,333,684,982,392,217,715,393,
960,387,043,589,553,424,976,835,049,590,147,259,881,386,741,177,444,487,475,
478,486,086,571,700,306,414,258,938,742,257,531,398,685,562,353,572,639,127,
494,883,593,585,842,884,603,976,563,852,112,460,651,362,758,294,422,555,718,
968,649,007,636,433,171,364,593,392,302,842,809,187,854,796,850,126,271,521,
259,106,521,179,064,802,741,396,121,069,942,628,110,537,423,675,567,936,288,
570,598,492,388,880,039,869,373,358,049,850,848,617,235,036,364,762,317,764,
087,961,865,121,316,472,409,820,239,899,551,970,721,328,741,026,932,280,538,
893,067,269,508,356,228,644,623,089,767,403,282,958,898,970,249,712,601,024,
191,526,798,256,557,199,073,413,691,299,319,151,233,763,140,747,262,122,414,
482,387,196,571,026,932,541,055,703,155,577,197,068,580,114,528,957,873,791,
404,612,276,789,625,299,858,102,153,484,559,763,599,472,485,783,191,934,094,
559,436,444,535,785,386,656,348,521,991,332,184,087,075,169,469,243,329,421,
704,144,979,804,003,989,088,042,828,136,635,842,050,190,248,154,604,566,143,
005,455,868,358,874,750,058,670,829,459,786,269,469,872,044,691,566,716,525,
883,176,913,373,843,137,647,638,825,331,085,589,427,662,709,196,696,352,034,
759,594,999,366,659,754,956,655,124,863,762,464,515,496,427,828,623,777,300,
778,900,191,454,282,368,780,231,260,275,995,959,932,788,184,960,291,167,785,
614,099,200,579,034,555,552,596,060,573,684,753,803,087,111,873,902,947,181,
545,278,968,519,563,261,248,576,153,222,928,295,837,581,994,707,495,450,652,
777,748,586,811,282,793,076,016,925,194,260,517,175,665,970,082,273,958,971,
122,064,273,087,325,541,758,275,690,475,794,574,590,609,397,199,519,011,434,
017,406,169,666,284,051,277,046,543,015,376,113,666,780,368,134,222,031,923,
207,279,378,692,084,248,825,593,739,562,290,077,782,218,144,807,031,179,019,
195,269,971,891,600,026,790,353,988,379,620,059,394,799,699,969,553,522,828,
359,660,231,164,213,784,004,768,785,377,978,995,997,327,101,175,074,123,446,
631,378,550,306,734,658,147,297,766,260,554,630,554,288,555,159,927,224,124,
701,645,736,835,771,717,109,859,167,709,302,088,616,334,624,782,408,443,800,
753,799,807,340,751,353,097,163,860,519,145,275,066,445,033,152,762,854,155,
229,287,849,942,925,704,768,737,593,001,983,826,723,447,944,041,818,385,781,
632,909,569,260,911,559,163,645,255,685,370,559,275,074,492,560,142,858,970,
332,522,106,734,915,669,121,900,164,239,149,351,701,511,076,974,846,758,694,
149,481,035,870,925,327,685,522,106,072,364,089,899,703,114,318,403,569,502,
760,915,860,925,576,902,978,786,504,890,405,102,152,079,952,423,188,023,138,
940,191,434,307,149,009,171,746,744,031,416,324,842,995,730,436,190,883,102,
086,615,646,552,323,197,082,892,140,922,999,248,619,075,179,277,204,723,182,
053,550,775,058,744,952,590,144,022,550,370,430,586,797,450,830,203,691,817,
731,974,311,404,854,757,900,086,815,427,564,132,022,857,929,988,006,451,686,
593,665,041,954,765,197,725,920,779,569,778,281,262,202,788,362,566,997,648,
945,711,858,440,520,173,969,430,648,122,566,221,161,384,045,822,284,448,315,
429,127,699,671,007,222,504,395,386,593,330,432,059,870,518,268,347,074,922,
111,851,542,401,600,787,741,945,734,888,405,544,937,517,793,100,303,181,941,
767,785,954,883,733,945,779,768,414,182,228,509,868,361,420,194,271,958,423,
608,594,329,004,446,619,085,374,957,007,331,079,770,069,962,927,290,492,921,
396,679,141,178,721,013,172,284,946,134,914,834,294,848,335,079,340,060,853,
974,170,685,936,515,111,338,558,211,944,231,085,107,019,679,564,178,519,782,
906,330,564,686,487,011,494,583,645,271,101,792,474,488,722,555,298,215,964,
971,907,502,511,395,995,664,404,718,670,206,007,921,921,561,397,109,170,281,
475,126,811,923,296,738,826,141,524,358,119,028,633,660,597,955,694,059,091,
297,957,414,439,450,984,674,490,360,731,387,865,682,004,330,260,442,627,170,
473,080,782,506,779,701,483,931,686,346,808,005,223,642,448,780,682,204,095,
222,847,816,741,594,693,006,184,649,781,123,566,795,233,665,935,129,868,105,
001,223,761,290,688,449,077,641,913,796,186,643,274,516,762,417,220,054,899,
565,589,067,533,869,693,583,737,416,859,381,994,951,519,832,145,666,654,537,
130,515,537,880,525,701,120,422,563,399,310,774,354,235,976,047,036,039,906,
684,660,951,666,502,927,719,965,133,628,765,736,394,581,819,602,844,850,383,
599,546,046,748,033,475,772,816,167,248,261,924,958,830,161,521,205,172,672,
044,357,497,643,240,432,181,666,731,942,004,475,755,837,470,947,833,680,572,
645,601,559,232,390,164,181,293,031,406,949,222,292,517,122,459,232,529,309,
886,668,947,903,008,855,876,956,883,403,445,446,118,819,879,957,250,758,785,
517,215,438,336,993,310,963,552,408,057,895,906,487,237,568,948,902,850,502,
172,515,441,658,477,692,720,045,051,889,943,260,889,077,360,807,629,966,819,
976,425,344,117,539,689,461,473,123,746,644,316,996,905,925,561,451,992,902,
814,360,974,395,662,779,758,790,195,205,004,669,734,094,147,764,081,592,316,
120,966,217,753,271,431,796,842,544,596,159,313,329,574,813,663,599,476,308,
569,612,231,143,587,680,986,510,867,972,651,293,114,277,186,056,051,039,721,
560,740,433,157,682,336,142,918,401,629,412,804,561,937,040,696,276,777,862,
733,300,573,163,357,685,442,577,510,745,108,887,738,708,004,673,626,063,475,
353,794,933,477,580,712,566,467,988,827,014,553,015,258,199,012,619,052,656,
902,998,454,702,227,694,169,001,403,687,215,084,412,228,514,509,357,936,404,
825,300,616,047,315,546,738,385,725,489,214,166,195,159,161,558,745,488,480,
886,454,227,668,930,571,244,167,882,105,630,953,183,070,132,180,498,049,932,
509,411,173,346,338,617,053,546,341,388,199,308,116,323,920,425,767,199,911,
361,826,045,945,139,027,124,104,109,448,703,566,482,602,686,104,740,677,979,
962,819,957,427,041,553,313,433,907,326,026,833,821,792,515,341,732,553,388,
177,627,975,897,299,896,045,731,079,821,989,932,046,730,224,597,754,751,710,
208,920,880,529,422,796,515,310,998,760,493,422,459,689,331,609,742,576,256,
258,667,119,950,555,672,555,301,516,381,561,784,606,824,714,213,992,439,861,
920,588,174,189,412,839,253,054,094,836,650,558,289,186,259,939,870,409,023,
933,012,993,734,348,401,246,320,039,839,372,770,248,831,334,434,541,752,441,
012,135,392,523,779,857,399,234,516,045,777,335,142,933,857,710,647,847,945,
923,923,624,366,944,312,915,981,543,358,044,407,850,915,405,551,006,474,512,
058,620,599,795,704,491,730,830,412,435,183,266,130,292,952,616,926,468,733,
348,931,048,459,939,882,533,185,223,180,252,240,298,043,080,069,544,299,809,
929,957,200,843,041,622,182,249,086,832,589,157,801,788,631,930,517,057,573,
249,128,587,768,952,450,465,529,674,877,013,797,929,753,253,303,384,052,460,
636,741,257,083,101,372,808,272,340,697,116,358,234,897,148,905,237,802,905,
850,387,883,923,313,204,637,400,492,797,017,238,677,524,140,818,940,534,178,
967,912,514,875,336,761,722,670,382,824,730,629,535,484,449,179,386,687,117,
300,722,785,149,169,860,877,228,160,320,056,705,295,640,275,253,401,262,843,
065,215,429,677,287,028,087,118,636,091,547,597,064,283,086,143,173,031,553,
864,255,502,701,017,941,628,068,478,707,245,648,797,436,468,536,509,035,003,
498,518,605,083,710,753,357,049,156,130,809,325,828,200,344,000,064,653,134,
086,862,267,948,843,026,902,827,450,883,646,173,454,156,048,276,637,103,110,
527,054,006,425,751,448,696,078,512,441,860,023,235,124,463,483,055,408,258,
106,167,137,499,882,019,462,928,586,899,101,872,737,661,186,841,469,755,673,
768,622,187,458,699,115,953,569,979,251,573,673,768,545,635,181,474,766,675,
427,997,684,029,683,956,118,628,958,424,289,887,447,053,842,367,759,103,193,
471,835,643,454,958,112,921,299,511,910,173,678,556,965,976,043,790,689,200,
515,191,760,904,071,845,001,555,325,856,029,835,103,305,076,826,220,256,262,
157,952,459,604,015,846,904,663,357,177,609,371,502,824,040,287,660,547,038,
323,226,807,916,963,477,303,036,862,950,736,388,053,867,470,606,153,024,352,
651,810,587,043,371,431,251,747,607,523,284,334,681,628,323,168,237,927,753,
017,710,622,003,181,314,416,378,049,997,154,524,157,810,128,084,999,441,467,
409,012,369,794,875,511,286,856,828,392,607,483,394,628,094,730,750,661,315,
841,972,556,792,325,464,730,969,892,244,742,365,186,802,769,884,493,341,080,
885,697,069,433,827,930,070,780,694,012,327,507,789,330,209,369,117,867,012,
397,258,457,197,614,865,095,459,416,559,809,415,492,327,851,000,828,668,361,
341,889,540,006,387,248,015,215,313,519,039,796,281,680,206,669,934,533,856,
112,036,231,877,586,898,640,249,459,806,592,627,551,003,482,331,734,367,097,
603,211,217,404,890,120,114,498,229,079,051,679,746,168,450,463,290,846,578,
409,346,790,001,089,748,382,319,949,682,396,679,363,359,354,477,722,946,458,
156,909,156,380,458,598,376,742,118,384,379,185,062,854,675,234,952,609,843,
245,911,195,696,555,931,158,096,713,811,023,340,138,962,462,613,739,271,916,
654,393,115,666,180,388,043,017,937,261,570,892,824,693,982,091,517,353,306,
480,221,882,280,840,443,836,943,662,354,397,642,052,559,693,494,842,159,686,
834,667,568,380,003,082,157,782,445,459,008,904,652,950,538,786,830,220,002,
554,204,392,675,477,005,715,525,590,836,696,527,035,345,829,879,828,125,382,
211,921,657,589,970,499,676,923,265,240,871,105,607,225,615,042,433,904,880,
233,848,289,080,723,398,149,844,605,894,112,127,716,184,935,430,521,864,106,
095,078,066,555,524,029,681,168,534,387,248,290,601,081,524,926,024,222,707,
704,215,050,333,823,723,526,065,153,225,650,705,661,476,390,435,363,551,337,
466,196,400,977,483,723,440,689,607,725,302,901,711,589,687,210,106,565,337,
593,922,195,253,915,437,748,049,366,983,172,688,189,437,620,606,200,297,629,
269,716,390,711,264,755,596,855,081,890,962,013,525,064,681,478,416,173,295,
528,548,569,325,339,730,295,748,204,945,501,253,272,726,080,401,222,281,614,
440,766,959,304,207,247,021,012,529,137,867,861,929,680,812,323,175,014,260,
286,718,395,127,105,027,275,598,017,784,489,928,739,835,066,922,209,227,564,
293,981,856,095,388,771,903,423,383,548,940,468,050,051,157,005,988,427,859,
691,927,924,333,085,120,386,838,074,843,054,894,460,964,002,457,416,186,703,
209,188,837,916,366,356,112,031,416,889,598,932,903,848,954,689,927,554,319,
621,159,575,207,032,418,295,600,613,557,514,252,904,625,233,192,424,892,706,
955,187,950,250,708,086,132,591,389,858,249,236,293,019,042,763,961,223,714,
571,943,937,947,318,721,254,219,218,232,318,529,059,483,327,896,754,615,380,
627,275,740,611,469,587,172,206,921,602,718,873,187,391,136,190,072,047,217,
761,968,290,658,622,343,775,821,665,704,303,597,547,385,743,617,644,287,308,
424,296,861,234,081,506,403,147,713,171,023,610,746,242,433,176,307,243,873,
628,829,400,195,667,601,813,451,877,033,253,423,253,211,577,808,088,769,384,
855,842,944,078,710,486,357,170,750,894,974,884,947,660,744,694,271,589,445,
606,061,260,250,625,224,400,795,135,898,237,506,520,581,169,088,408,348,995,
091,014,691,598,750,837,149,301,371,236,851,501,648,298,860,357,990,286,030,
619,228,730,807,297,996,875,652,975,146,690,486,004,529,102,163,031,503,459,
958,967,011,641,567,379,283,270,085,363,630,714,457,600,175,775,194,632,169,
508,782,383,316,128,429,339,388,855,545,360,714,425,325,023,462,214,756,809,
515,371,326,654,439,305,941,898,731,078,516,042,422,957,121,398,981,112,707,
871,450,395,649,571,022,446,156,329,521,260,208,821,636,998,560,852,447,082,
187,902,632,738,107,137,985,436,994,796,595,178,387,304,638,784,192,118,976,
909,641,902,868,323,940,409,330,554,988,738,105,795,598,476,336,912,083,667,
182,151,985,296,502,048,522,824,952,209,580,421,368,613,879,041,433,016,895,
638,972,218,031,003,737,751,694,653,824,860,921,186,797,895,968,762,989,708,
601,242,158,416,172,948,927,118,027,861,027,549,607,734,896,560,880,735,845,
511,540,480,273,393,604,488,310,057,454,389,218,603,591,916,353,489,083,980,
357,449,329,245,883,302,109,501,690,246,296,767,050,888,573,592,962,683,869,
871,852,608,237,373,350,684,341,600,016,505,628,007,676,786,627,107,116,170,
973,083,393,304,050,773,716,494,666,684,359,041,744,702,892,513,598,559,167,
156,740,907,735,931,306,781,816,677,133,251,450,352,403,848,823,353,730,025,
512,682,898,373,220,757,485,836,407,452,215,538,141,259,684,678,846,466,708,
736,875,497,397,208,286,974,997,194,391,093,793,834,383,705,553,048,592,065,
982,244,592,713,969,413,332,623,813,291,985,146,642,695,001,845,657,302,726,
356,821,359,219,402,667,902,840,265,488,904,044,792,845,216,442,116,929,951,
448,275,483,092,876,281,181,598,430,494,079,418,182,405,718,848,494,497,164,
733,839,768,505,490,600,915,509,911,010,751,203,462,029,541,381,675,457,491,
174,361,994,323,350,669,846,177,841,137,647,329,945,070,547,232,883,450,418,
111,635,384,545,589,612,937,637,191,768,758,281,073,546,163,228,988,972,828,
128,352,749,398,493,396,218,237,433,475,000,900,835,276,127,369,748,457,839,
862,079,555,913,254,345,271,379,373,426,440,882,644,017,400,226,093,188,903,
047,628,120,313,285,093,367,026,743,877,709,286,858,172,015,956,895,601,214,
197,221,690,024,060,275,685,695,469,803,532,177,634,539,365,222,667,218,409,
002,002,001,869,246,339,719,590,278,493,726,274,832,670,587,475,339,220,776,
303,206,686,804,603,847,836,735,550,314,755,001,710,351,977,400,883,334,094,
337,819,151,732,421,362,833,717,828,891,445,314,998,273,999,096,888,722,668,
254,949,038,586,664,196,867,019,649,561,395,958,962,200,374,164,534,490,342,
572,700,033,814,380,452,729,135,118,421,005,988,879,124,992,939,737,961,313,
814,189,103,776,811,053,237,525,669,274,496,213,577,827,674,172,350,370,577,
574,562,698,312,373,581,476,019,702,706,177,112,777,510,940,804,311,485,416,
713,867,608,569,431,733,065,843,055,405,402,369,719,551,864,136,233,521,928,
139,618,217,567,020,340,818,807,082,056,778,852,028,584,000,404,829,044,877,
875,693,639,376,185,673,017,039,877,915,383,211,418,126,089,235,205,325,040,
928,272,647,640,391,266,194,556,920,173,383,738,140,284,942,926,453,505,895,
763,658,014,220,250,057,491,412,887,383,483,361,033,204,377,797,838,740,980,
641,137,361,879,650,413,482,732,007,039,407,788,472,720,327,649,749,557,243,
420,433,956,739,218,454,007,201,345,585,738,862,293,720,816,676,335,888,270,
269,760,221,117,119,979,868,227,370,886,553,161,373,659,500,664,105,712,014,
306,770,345,079,869,378,859,897,612,401,055,319,032,453,752,690,169,906,064,
150,144,219,244,709,936,909,976,851,388,425,124,618,718,318,928,787,877,919,
317,769,397,073,195,693,857,881,200,718,533,841,544,477,804,314,952,065,965,
909,328,984,325,555,739,174,956,916,143,730,054,336,113,173,432,511,892,301,
785,586,319,642,755,678,027,432,421,701,249,132,135,737,943,060,060,644,575,
607,848,176,139,618,786,976,589,852,124,771,035,482,544,195,426,140,246,732,
145,060,361,138,504,604,378,477,855,625,318,228,894,719,736,196,384,807,209,
950,535,824,412,343,156,859,135,525,714,396,213,579,336,380,753,501,203,676,
240,577,293,652,942,032,170,546,882,418,523,045,354,583,994,229,674,608,536,
289,815,815,781,362,192,240,761,195,982,047,342,970,139,857,582,578,744,227,
727,857,158,734,804,816,889,864,982,050,924,654,422,894,598,006,280,499,350,
251,712,176,996,761,667,905,779,301,638,936,077,104,051,516,506,445,117,260,
816,529,286,017,942,567,883,909,565,300,519,315,726,476,297,754,136,153,121,
690,569,311,150,062,043,597,598,477,810,013,124,652,225,607,507,769,038,800,
877,015,126,188,357,738,807,891,560,052,316,769,036,342,340,190,176,604,961,
520,643,220,074,322,795,011,132,526,679,004,180,707,900,332,571,424,787,433,
294,973,986,278,349,423,489,615,062,270,323,082,646,991,860,171,553,966,669,
006,967,506,917,435,158,644,746,078,230,336,365,560,295,982,743,997,009,026,
260,125,716,093,795,989,077,474,049,417,523,540,545,754,663,402,114,434,434,
517,922,568,741,414,435,029,689,749,333,034,854,401,884,118,828,293,120,437,
607,590,003,634,477,128,998,368,801,072,475,793,726,524,525,679,345,783,641,
403,756,194,722,785,078,717,821,421,858,519,545,595,018,665,539,558,230,903,
414,168,401,321,085,800,696,700,595,750,272,180,385,123,043,273,082,875,692,
842,299,700,964,685,066,871,668,777,175,720,598,525,709,838,445,952,846,237,
456,446,103,147,632,570,167,851,179,217,967,066,275,680,077,129,337,020,199,
886,060,879,271,849,195,833,535,975,491,761,527,676,013,691,884,514,116,321,
816,203,725,001,069,947,565,840,870,263,020,508,515,287,331,166,455,516,008,
762,735,032,787,687,246,554,148,365,139,770,925,237,243,315,354,270,171,513,
554,081,694,096,178,963,331,640,373,636,142,849,481,723,856,211,225,709,459,
115,013,429,622,006,805,388,116,000,973,441,073,282,112,984,517,320,171,838,
098,864,922,224,273,792,706,165,757,480,217,364,206,066,160,977,446,164,309,
103,313,463,083,769,887,577,704,442,352,414,276,107,295,683,004,190,873,306,
256,979,005,713,802,054,700,599,084,166,819,656,579,396,587,374,735,855,619,
373,221,388,423,367,515,114,145,707,873,227,046,794,602,974,701,467,197,637,
736,917,477,120,459,067,673,332,949,337,375,995,018,344,014,401,605,747,734,
208,420,506,180,446,854,767,479,331,539,269,146,289,825,974,248,206,831,343,
512,893,206,437,909,158,510,623,350,584,911,128,958,738,056,212,789,417,268,
989,229,083,317,496,497,594,817,412,386,376,577,187,337,969,806,127,873,803,
359,631,339,589,211,234,363,912,657,045,319,269,396,748,920,912,532,152,247,
194,283,786,840,561,952,128,577,484,707,028,369,581,001,519,389,622,663,133,
425,700,340,666,023,893,444,881,350,713,346,429,273,478,391,014,192,048,282,
676,204,077,089,043,965,920,811,071,425,826,108,141,871,459,447,306,140,412,
269,652,934,170,771,611,633,998,956,895,646,163,715,132,442,937,676,576,013,
740,522,236,708,424,226,038,154,122,153,786,167,588,957,174,972,989,072,022,
632,450,622,419,627,807,104,159,829,795,225,953,494,559,651,150,633,735,881,
245,253,951,513,677,263,347,091,316,704,210,502,743,107,751,404,033,437,867,
156,854,054,867,961,216,523,417,004,907,767,776,136,215,669,489,110,571,648,
189,508,890,419,622,559,721,010,323,073,768,375,674,281,729,731,202,651,221,
799,175,989,024,417,117,303,254,869,781,810,177,671,884,426,222,532,594,145,
307,542,862,239,802,016,716,548,578,412,744,094,901,191,304,226,959,768,986,
309,597,732,723,974,057,745,501,379,392,767,031,217,438,047,108,290,899,179,
187,153,292,500,187,355,447,227,559,308,278,640,986,615,646,262,225,864,144,
447,301,436,700,448,381,727,075,500,093,719,407,777,738,384,010,429,349,738,
495,665,798,225,994,986,014,423,186,374,575,923,912,530,391,545,129,634,380,
978,625,385,777,846,873,503,776,057,399,170,842,485,472,478,839,831,314,006,
048,976,143,353,846,987,095,107,322,530,409,156,004,063,454,940,291,779,369,
767,488,981,172,938,899,509,757,440,232,281,167,488,901,439,203,492,840,350,
400,511,645,336,523,264,180,830,352,156,413,076,288,164,765,457,508,424,683,
481,444,203,119,296,184,728,976,504,955,693,361,982,377,815,287,573,927,055,
323,105,677,433,092,431,385,494,228,997,827,996,769,932,363,688,754,202,383,
462,165,570,097,233,183,998,211,279,270,459,397,168,805,774,772,680,858,360,
350,981,811,817,972,477,487,410,547,939,046,921,580,044,707,748,334,276,766,
473,054,848,113,128,657,607,029,516,772,056,952,772,680,938,055,156,039,706,
016,683,018,959,018,478,065,144,808,066,424,306,420,184,441,522,227,717,454,
013,184,247,502,218,424,593,626,663,268,560,331,040,148,704,531,288,986,202,
749,549,800,179,329,240,462,615,276,887,070,339,563,836,066,336,417,885,833,
173,850,564,438,076,020,347,770,444,891,485,372,459,228,136,510,739,712,718,
990,829,891,344,151,953,068,405,527,036,902,614,894,988,960,303,580,878,713,
201,158,128,855,940,307,009,384,846,715,634,889,073,219,328,520,963,655,135,
803,117,986,037,618,262,315,888,353,868,499,357,895,857,918,755,627,843,036,
043,857,202,236,884,016,068,057,322,095,097,409,925,967,743,905,296,542,794,
244,356,493,682,226,397,021,082,777,176,399,674,892,991,070,563,454,770,892,
997,274,762,059,062,603,024,436,217,277,252,203,525,053,142,509,907,516,589,
078,867,829,117,770,505,956,146,642,153,889,415,401,279,158,737,356,174,985,
119,038,592,255,279,933,584,162,935,339,469,988,025,482,245,684,687,017,692,
433,807,341,967,898,029,943,263,513,605,730,006,810,628,490,321,180,033,687,
548,717,273,930,531,145,263,498,613,299,350,334,078,789,684,499,404,373,093,
174,260,106,863,222,430,721,159,056,785,310,083,567,396,646,985,956,390,975,
475,791,981,309,933,164,879,596,394,914,529,102,503,884,852,064,584,593,021,
597,475,966,705,652,639,784,031,773,016,127,779,418,461,690,015,738,897,803,
978,021,420,281,827,377,958,611,005,589,548,621,113,176,824,869,120,955,585,
313,815,588,343,885,035,204,788,281,958,957,125,831,619,006,589,853,011,693,
019,281,540,529,965,336,073,010,734,330,072,210,236,676,839,991,791,369,105,
451,082,168,009,833,130,459,688,525,383,175,731,701,146,215,505,723,591,481,
423,685,583,177,643,940,556,930,097,194,771,825,589,950,848,943,179,460,313,
901,363,842,743,258,449,196,709,090,442,523,315,268,577,193,928,654,469,857,
503,006,382,176,504,630,909,550,526,671,118,289,901,439,921,165,710,938,508,
858,013,681,357,925,772,562,520,672,279,459,661,546,872,467,161,718,014,940,
615,119,528,817,963,831,761,287,078,213,976,457,157,758,602,990,336,953,265,
560,138,931,635,689,650,402,698,721,575,449,980,700,453,098,032,168,299,981,
375,430,745,272,701,355,312,566,428,284,284,415,915,554,862,357,460,548,539,
831,309,503,963,618,066,937,205,610,566,282,925,389,672,412,543,279,050,097,
178,139,816,521,946,262,736,587,691,807,204,195,612,050,929,401,566,794,076,
056,417,442,770,967,742,549,369,225,558,634,371,872,253,477,539,968,180,049,
086,279,049,804,617,217,862,244,954,899,334,073,266,199,692,527,063,081,555,
198,692,329,720,660,691,320,541,547,716,995,775,826,430,581,718,262,583,618,
723,850,138,383,403,249,623,760,267,577,675,857,513,691,416,306,994,153,547,
915,514,525,873,551,441,875,634,041,221,687,234,082,098,474,322,547,178,625,
111,172,500,042,647,640,691,028,079,531,012,889,411,081,515,578,087,707,806,
536,325,507,675,748,010,582,465,017,310,848,536,794,011,875,132,843,241,511,
064,424,002,931,343,491,321,703,233,033,497,673,881,386,669,853,263,448,688,
269,079,649,151,924,270,047,421,601,032,420,605,932,606,237,872,968,212,019,
996,642,571,733,754,710,074,077,391,254,979,221,894,241,420,682,281,252,619,
461,304,257,837,939,959,329,955,527,836,359,057,388,028,398,102,836,658,115,
769,333,308,950,433,992,648,298,651,029,489,882,778,258,336,955,863,637,364,
243,168,329,494,114,110,290,216,414,522,189,632,030,491,266,581,667,986,155,
664,656,349,394,690,599,980,560,940,729,267,658,098,551,138,724,314,155,008,
425,010,606,133,012,454,312,143,772,401,184,928,559,722,556,096,148,233,836,
201,567,231,518,741,975,724,889,951,915,441,443,328,165,674,367,419,452,604,
418,808,398,103,725,478,028,573,622,121,304,606,038,670,882,873,351,203,418,
998,070,823,475,715,804,076,637,351,836,804,876,847,994,255,785,398,316,423,
838,290,279,956,679,756,759,508,105,003,750,505,223,136,336,583,576,041,174,
550,974,366,105,700,322,462,065,632,108,465,003,057,629,625,798,475,098,485,
540,212,552,627,664,190,028,672,804,973,107,972,030,169,741,772,441,012,749,
550,654,110,273,515,566,524,505,162,223,832,289,803,124,654,303,810,448,163,
224,733,290,670,664,250,544,980,486,199,543,000,738,389,528,636,960,621,608,
625,833,637,807,876,594,528,540,350,483,009,656,630,462,376,456,898,463,239,
885,155,997,474,732,028,892,375,205,677,197,865,402,976,684,644,102,007,488,
820,289,784,728,090,893,078,859,722,636,680,558,465,402,563,505,462,722,716,
817,873,729,702,733,333,383,185,504,105,681,248,492,281,462,423,712,970,941,
818,715,163,603,829,093,655,705,297,029,116,080,539,042,925,483,563,563,305,
510,556,000,932,208,640,376,492,885,262,911,248,490,786,662,517,689,998,278,
706,372,712,676,489,506,000,053,797,679,742,645,255,449,158,998,839,008,004,
566,784,989,467,946,802,273,096,208,911,291,012,555,205,186,314,565,719,128,
254,818,168,427,478,916,783,739,173,540,832,844,026,814,678,958,823,461,612,
853,617,186,342,590,078,122,935,213,707,566,270,787,619,509,483,435,648,580,
613,659,511,436,769,853,661,402,220,242,519,754,885,573,527,069,569,923,972,
730,427,295,389,446,492,262,412,683,016,608,373,515,021,489,348,363,283,452,
285,374,478,168,412,870,664,012,111,427,412,863,469,309,124,817,705,874,652,
448,825,996,105,284,024,043,353,140,628,482,446,209,007,654,329,336,760,444,
652,424,524,682,877,211,417,438,980,245,501,082,020,247,299,188,366,756,696,
330,666,891,874,293,444,732,928,526,752,682,153,957,549,099,075,985,622,050,
696,074,852,721,499,038,336,446,628,849,067,452,734,030,254,827,993,918,171,
705,634,004,702,083,936,116,839,057,688,106,271,004,069,328,734,294,176,268,
451,237,121,389,790,130,191,040,921,137,327,663,503,390,279,231,699,873,460,
701,054,377,310,183,636,870,133,389,634,921,078,561,112,301,425,954,057,394,
003,871,950,610,404,017,860,027,208,335,867,376,665,821,975,879,156,234,896,
691,913,437,167,653,541,133,190,489,815,351,099,321,276,578,380,675,965,811,
502,044,916,754,544,650,731,505,974,112,100,850,559,512,224,839,419,632,340,
106,734,488,364,499,417,100,961,383,237,506,829,855,453,826,020,814,990,797,
915,278,758,688,034,461,647,260,005,766,174,437,242,245,549,345,302,933,584,
246,048,768,410,828,216,214,963,556,935,999,367,290,308,894,806,676,512,858,
334,804,095,213,614,445,709,227,439,928,417,920,341,294,995,800,340,571,837,
136,208,190,685,844,749,184,074,927,051,036,220,272,779,335,414,861,518,477,
803,204,650,753,712,982,448,180,181,783,040,680,310,858,644,111,469,985,939,
712,253,371,764,101,418,180,165,754,291,537,848,015,440,057,148,796,256,176,
605,339,634,247,551,498,725,403,513,167,803,769,854,199,544,095,303,686,089,
576,276,879,381,112,795,777,073,988,663,823,971,657,495,935,452,704,084,993,
920,569,744,648,916,731,649,342,951,874,132,715,858,067,955,798,781,426,084,
624,430,311,545,581,775,811,272,101,840,126,271,468,169,048,684,060,078,001,
290,935,464,799,021,103,021,276,001,645,801,042,189,287,429,692,233,481,043,
958,443,218,679,190,571,788,982,625,989,351,787,179,280,772,808,324,371,214,
979,166,078,085,193,330,750,064,163,915,450,017,028,361,432,891,282,710,561,
828,381,115,105,945,114,836,200,309,471,691,414,634,509,575,007,450,359,356,
632,447,474,660,610,613,560,600,936,630,069,861,336,712,394,021,945,143,043,
742,377,352,439,070,946,854,634,433,244,116,886,272,957,593,461,424,614,864,
617,860,211,280,188,702,139,072,335,717,968,285,615,654,958,760,236,627,411,
984,732,835,264,167,121,338,430,525,755,790,094,550,343,172,675,094,661,821,
540,679,249,920,575,757,632,991,795,897,650,207,008,543,559,312,581,149,101,
973,868,600,529,953,922,588,386,287,069,121,239,151,504,424,935,152,938,649,
897,900,016,200,082,722,082,377,500,144,066,092,961,318,309,312,985,878,616,
527,325,546,807,544,564,793,342,038,200,946,069,167,801,725,803,349,602,453,
515,464,755,972,155,877,584,932,033,577,161,971,994,544,838,682,080,605,467,
388,450,623,869,634,458,523,799,362,795,259,084,156,671,351,574,065,008,760,
722,099,144,624,772,077,299,630,796,495,825,552,515,163,574,706,865,971,817,
188,255,394,361,836,396,179,854,543,058,901,882,193,887,271,765,750,491,016,
486,010,594,964,746,716,862,460,106,880,721,358,797,467,230,067,082,765,407,
456,487,311,881,722,312,156,879,865,624,505,771,853,388,153,001,283,184,077,
964,894,605,629,077,678,220,595,600,593,669,467,999,322,212,709,307,050,923,
078,098,938,695,552,511,522,374,939,418,880,295,249,545,452,988,632,178,609,
582,120,486,347,366,579,253,782,841,804,171,454,835,293,795,358,541,367,677,
633,379,712,811,005,043,475,962,225,508,810,009,240,207,785,830,151,056,733,
752,704,436,645,671,728,694,932,538,078,652,343,247,616,545,857,253,110,292,
946,979,090,074,933,963,091,088,240,676,480,323,793,971,052,085,587,658,812,
189,521,923,641,315,773,373,432,838,877,600,293,768,941,551,970,537,485,192,
898,851,141,987,553,376,106,143,699,472,869,620,829,611,180,159,385,449,472,
294,141,799,961,178,804,283,286,850,683,777,039,867,785,680,259,974,441,523,
335,660,808,295,594,329,977,628,601,304,396,462,906,616,092,405,016,608,501,
507,497,059,282,708,952,585,371,738,853,632,759,988,891,954,660,100,594,051,
191,672,833,765,324,791,417,887,331,808,847,907,470,600,443,021,958,956,561,
200,763,076,081,513,158,676,316,024,022,828,941,387,622,698,666,467,337,261,
739,325,834,317,701,413,116,893,125,013,518,760,586,915,106,119,045,312,798,
169,497,814,625,118,570,325,313,679,876,206,198,453,248,377,609,679,736,858,
039,610,977,385,837,197,964,899,001,969,884,549,125,949,836,998,715,598,372,
313,079,253,998,767,272,324,735,752,917,350,499,802,253,759,507,435,422,839,
578,833,962,867,950,053,834,956,500,913,408,090,197,996,484,476,934,599,614,
373,870,904,773,306,426,780,248,409,389,507,465,396,013,872,437,575,275,486,
513,047,524,260,421,261,054,950,979,496,972,063,575,909,128,942,006,743,027,
433,003,711,297,041,075,652,538,775,910,679,696,666,507,545,709,452,126,261,
000,167,747,120,376,267,366,855,035,182,761,419,878,406,564,501,391,968,335,
706,214,848,424,147,414,819,843,358,420,017,513,621,346,690,246,507,390,069,
447,471,484,648,583,508,605,860,812,450,503,003,592,524,998,472,275,292,447,
801,003,577,110,568,278,384,541,465,425,947,362,368,794,631,682,258,980,936,
933,815,543,038,084,159,113,299,132,532,839,417,111,454,692,504,509,168,054,
378,116,558,355,717,137,864,539,047,501,832,372,436,977,306,795,072,823,219,
705,469,511,927,073,332,547,087,993,554,180,941,713,471,828,700,763,520,038,
649,160,596,928,616,985,945,735,528,031,152,299,773,177,867,813,389,285,122,
979,312,581,825,540,734,848,849,752,001,571,625,828,176,415,138,513,113,880,
372,045,560,890,474,582,825,843,959,522,440,289,376,244,807,548,031,277,091,
768,824,648,106,576,234,917,522,773,584,341,672,043,353,896,332,154,910,766,
655,881,532,177,557,145,892,158,520,810,776,004,331,504,311,346,093,181,431,
944,605,472,468,326,038,162,459,699,175,955,739,623,903,732,673,238,401,649,
053,643,649,383,626,513,587,452,901,122,746,285,247,711,590,837,891,703,397,
579,492,491,217,037,497,241,663,368,455,288,732,344,056,071,393,704,191,645,
200,044,663,754,246,734,496,314,949,193,667,219,749,375,764,484,832,550,523,
992,601,574,600,109,611,927,108,764,696,858,314,036,582,668,782,795,230,368,
112,966,468,353,953,421,912,451,088,075,833,452,810,758,071,733,559,928,863,
889,033,200,278,081,721,238,245,580,872,164,213,933,933,202,671,233,698,701,
395,891,107,515,300,012,076,806,284,795,968,648,306,726,052,676,085,735,699,
824,136,338,940,902,493,708,317,931,021,783,704,100,462,607,991,849,656,323,
834,977,472,883,661,940,130,687,752,768,166,174,730,310,435,397,581,534,473,
926,812,832,965,742,721,819,978,681,086,955,530,055,565,998,248,072,018,737,
326,731,122,110,132,306,361,116,608,535,714,146,787,841,340,653,778,632,086,
378,803,388,788,241,300,523,762,877,008,839,945,082,385,095,335,267,293,542,
837,159,972,409,610,417,175,617,835,536,178,937,938,715,123,662,157,895,722,
787,112,717,507,569,495,134,855,609,518,993,402,778,059,950,648,841,131,363,
876,091,103,245,561,284,338,588,684,921,072,411,779,219,696,101,879,768,954,
006,122,871,106,839,040,866,080,313,784,413,793,354,625,046,625,711,090,856,
048,823,723,514,952,884,800,626,208,930,229,354,468,484,574,187,391,901,671,
514,756,610,139,230,637,782,038,770,070,456,027,257,113,919,224,229,175,269,
646,999,860,479,701,722,147,903,280,227,776,926,376,383,208,099,858,599,373,
874,953,461,680,746,549,727,357,703,626,477,004,918,367,274,606,596,400,162,
434,304,470,816,102,784,978,878,899,979,948,937,737,593,621,824,942,424,671,
691,166,401,515,179,446,841,202,061,716,067,263,268,494,426,479,544,348,075,
100,142,955,905,196,284,211,995,847,860,960,599,651,971,948,975,540,648,422,
238,438,522,740,649,936,700,501,566,897,328,039,691,197,797,376,733,045,208,
733,228,366,455,854,543,488,769,498,374,635,362,843,472,842,456,443,554,713,
632,329,205,564,717,701,258,878,021,408,153,504,107,021,363,808,609,972,352,
230,108,231,549,828,661,340,320,014,811,834,595,626,878,091,554,175,865,228,
280,056,844,955,336,782,249,537,228,772,576,076,241,865,059,945,022,931,556,
282,405,478,162,353,846,727,259,209,423,517,732,411,098,877,715,940,659,262,
608,235,887,920,416,258,476,898,690,500,006,315,637,945,964,329,821,704,264,
563,182,751,465,637,707,090,822,415,621,493,423,940,249,041,372,234,572,725,
817,365,645,182,962,848,404,585,046,082,023,535,528,956,188,373,008,558,418,
562,490,676,736,624,361,462,477,131,638,935,875,780,485,978,188,915,804,533,
422,468,405,315,985,750,140,769,273,288,145,931,114,094,846,412,296,776,030,
336,201,429,530,298,430,284,616,301,789,055,114,332,644,836,389,032,642,687,
275,185,157,835,561,672,274,372,695,968,693,238,503,566,411,647,274,360,938,
147,988,214,516,580,354,804,465,876,873,485,021,854,856,848,997,658,141,106,
229,854,333,586,712,768,806,013,478,357,316,109,228,222,542,575,775,504,463,
478,154,144,999,807,067,390,544,642,466,571,600,638,375,363,230,734,708,763,
837,924,855,487,045,214,185,990,312,740,624,376,931,918,693,308,358,675,908,
853,718,113,827,127,759,308,437,229,011,611,905,948,347,346,509,772,009,013,
435,095,025,157,509,162,784,840,025,710,303,300,421,271,606,734,542,998,951,
393,992,100,230,313,112,910,464,006,856,608,708,222,564,593,948,217,425,295,
383,334,251,215,235,819,235,217,067,798,817,065,920,527,238,779,809,035,871,
853,698,679,761,183,117,789,371,303,269,606,043,972,119,513,407,304,680,814,
457,310,920,806,737,249,558,147,896,206,285,193,171,989,881,097,822,960,363,
643,212,549,332,882,314,224,450,978,560,606,056,309,702,756,810,697,095,276,
669,849,808,491,293,937,779,887,361,900,680,140,646,929,282,211,471,273,667,
554,570,113,477,023,743,312,784,627,935,638,563,064,204,130,741,356,244,279,
556,396,045,542,517,971,543,487,135,995,935,384,629,494,954,543,865,389,337,
275,898,765,028,709,860,277,083,977,940,969,570,138,446,831,239,320,618,259,
518,338,253,124,646,655,823,490,886,412,670,346,514,545,098,631,308,343,604,
278,451,757,407,269,761,662,933,149,652,994,537,400,395,301,028,309,127,374,
550,954,880,288,713,622,491,704,598,528,115,348,654,705,158,241,384,175,814,
811,067,212,194,921,728,379,090,159,886,436,469,301,253,048,581,614,020,642,
187,652,384,306,383,956,591,326,496,555,530,773,533,931,910,660,036,723,912,
591,804,634,165,260,773,871,059,727,006,648,028,654,843,433,683,151,062,863,
444,179,292,400,271,036,828,068,611,465,716,642,020,620,582,699,823,841,035,
134,265,549,940,545,189,806,913,784,815,842,208,123,186,340,681,701,073,540,
752,212,831,216,268,720,602,490,298,813,889,927,710,205,414,828,522,306,666,
000,069,575,298,110,432,864,722,452,058,709,902,917,556,655,175,453,404,352,
484,687,414,370,437,938,814,511,913,520,464,536,896,660,425,880,404,549,899,
086,752,594,732,964,512,165,677,715,839,613,549,244,786,604,858,344,330,753,
867,641,982,711,939,613,779,041,542,051,316,883,781,713,511,136,883,212,424,
245,813,331,757,763,717,979,807,716,868,017,116,879,170,488,178,063,445,387,
842,949,468,167,717,353,122,007,398,121,243,472,158,919,093,560,274,245,042,
060,481,366,851,337,434,631,147,005,509,343,653,068,846,522,607,254,002,815,
593,632,940,950,784,035,144,194,706,409,678,217,687,767,859,905,772,431,734,
761,981,734,532,042,790,855,225,009,346,380,652,441,146,916,389,512,489,629,
227,586,758,318,256,267,822,590,061,319,417,310,190,722,226,218,578,160,969,
423,640,379,898,518,074,183,853,240,460,180,963,713,455,474,726,504,513,354,
532,121,659,999,682,557,769,866,316,119,440,363,229,144,626,768,482,301,463,
191,639,227,394,720,063,897,195,250,703,224,312,449,421,618,772,515,428,641,
262,166,221,241,658,364,948,893,282,951,907,127,114,115,492,594,822,456,680,
213,241,510,527,735,071,207,497,534,757,322,949,411,645,653,222,490,793,834,
091,575,664,149,709,029,901,467,512,076,725,061,977,932,815,722,294,585,760,
831,708,323,771,710,305,634,769,793,152,504,231,185,370,652,902,098,688,868,
578,457,858,139,729,228,125,414,802,576,974,692,673,726,382,122,853,995,808,
857,728,318,711,235,704,074,405,950,807,916,003,816,016,100,322,140,780,918,
752,040,951,600,056,276,242,186,013,240,852,492,856,177,743,638,642,313,456,
205,412,683,122,920,525,843,813,274,801,016,226,679,898,829,199,066,787,795,
416,065,619,088,386,120,209,729,867,193,499,568,100,518,870,378,950,881,286,
752,702,728,602,097,819,000,302,808,347,205,387,425,598,134,073,441,072,324,
980,384,831,497,275,693,938,711,441,777,367,582,166,738,415,629,913,352,860,
267,215,637,719,987,163,397,059,991,598,433,219,187,663,124,195,467,832,467,
415,075,205,298,672,419,615,774,543,438,405,265,480,762,108,640,456,087,744,
477,555,311,745,807,981,951,757,071,789,382,326,417,384,221,213,621,459,533,
818,951,254,428,244,638,055,695,263,622,523,651,658,839,176,926,085,920,199,
663,518,217,925,380,920,306,529,938,710,173,281,977,711,447,015,120,082,886,
694,304,768,058,579,835,709,390,140,179,598,573,944,933,852,223,584,472,387,
761,607,116,643,305,292,972,221,565,591,922,533,533,740,198,997,810,117,879,
606,104,898,838,942,835,755,387,296,675,699,546,410,827,322,585,223,785,895,
719,553,450,557,195,794,038,557,382,106,566,461,521,992,500,150,291,453,360,
994,203,416,250,783,130,657,726,548,314,334,078,837,127,944,481,741,751,117,
366,282,876,399,998,105,352,217,025,267,502,928,447,823,801,496,238,774,652,
230,522,854,493,474,807,794,417,810,099,409,541,742,505,708,689,655,062,493,
135,043,761,530,676,959,096,318,144,907,040,780,853,558,313,301,824,691,804,
058,033,094,084,849,005,568,850,403,981,753,681,251,911,054,122,962,403,034,
566,877,983,360,267,000,527,757,381,567,155,432,009,834,050,466,417,196,511,
157,124,239,368,723,625,296,606,622,628,239,500,888,976,399,011,796,771,609,
846,315,388,854,971,577,137,171,118,746,181,069,873,006,852,697,118,853,710,
660,213,984,844,437,008,514,322,807,884,682,444,278,726,415,686,820,774,866,
663,252,151,817,119,816,960,273,776,910,399,778,757,209,930,409,648,059,307,
560,874,884,712,102,747,429,521,035,178,885,099,126,214,275,361,922,247,680,
557,089,035,300,248,502,474,150,180,991,392,934,984,274,166,225,392,405,926,
128,043,065,978,738,079,106,417,904,912,589,308,440,880,078,234,802,461,304,
250,883,624,693,202,889,436,169,012,305,412,919,070,077,800,097,941,912,736,
011,464,937,221,746,359,391,964,190,321,044,187,783,708,168,656,104,320,174,
096,535,576,680,953,929,915,796,316,934,910,097,394,745,896,588,817,450,898,
702,406,476,698,971,173,396,023,424,721,625,562,681,162,679,703,075,249,282,
317,848,194,755,519,720,378,956,206,054,573,119,159,539,558,278,073,129,154,
521,998,548,789,757,504,201,437,515,641,494,767,754,741,168,788,558,560,603,
820,151,553,521,997,968,024,976,861,359,700,389,742,776,777,785,303,230,422,
925,541,131,853,172,464,027,568,951,536,925,460,231,003,566,013,746,376,589,
509,932,408,741,246,421,131,354,137,501,666,676,614,098,913,745,781,461,915,
801,879,804,335,074,987,600,060,609,848,769,633,686,212,489,029,672,659,533,
372,502,421,160,210,729,954,225,071,725,825,762,745,009,195,091,055,729,397,
854,384,382,985,265,207,580,255,320,542,432,527,044,345,192,943,900,773,700,
078,101,778,385,364,353,661,683,573,290,080,405,003,798,180,714,827,843,543,
248,245,802,490,971,389,766,121,697,641,272,397,292,560,954,558,802,371,928,
547,060,509,172,124,651,065,263,230,039,766,788,064,402,456,227,154,509,133,
365,150,065,418,998,006,763,544,151,456,699,921,152,611,820,882,495,411,552,
725,955,565,380,144,193,807,858,508,888,698,096,411,803,417,753,884,897,992,
467,912,448,856,077,353,026,922,103,054,496,415,083,464,753,014,107,775,050,
994,592,309,459,970,488,868,386,816,937,423,458,626,418,351,147,809,477,369,
445,646,238,907,726,176,165,248,684,320,358,215,791,932,757,462,970,734,982,
340,302,320,823,593,514,915,896,504,053,736,011,911,630,667,583,078,437,172,
981,889,552,107,668,393,889,847,510,077,581,912,287,110,752,811,114,796,954,
640,888,722,357,073,729,866,327,728,447,281,359,779,748,836,175,694,949,334,
344,333,016,963,210,819,312,513,341,820,421,426,020,786,695,593,804,402,860,
511,464,740,294,250,386,954,611,097,824,531,891,954,365,535,607,882,997,554,
054,550,092,063,369,220,125,165,191,803,231,506,710,268,865,994,284,678,093,
672,897,983,621,814,241,797,676,782,936,427,094,373,776,805,776,054,523,240,
813,756,936,063,255,035,812,385,481,283,743,822,788,447,870,475,332,489,895,
110,655,871,785,434,883,772,553,303,618,546,334,491,529,314,489,861,356,073,
515,377,027,120,908,026,815,497,978,016,651,888,343,484,408,489,949,153,689,
596,685,543,816,929,229,104,372,192,325,356,319,219,747,338,692,457,729,164,
959,982,238,896,285,233,216,419,596,151,671,530,796,185,695,618,164,932,598,
935,964,521,503,656,917,189,527,756,996,211,773,146,986,050,016,825,322,058,
210,770,594,697,369,539,114,664,220,869,366,994,207,502,944,290,608,723,749,
421,127,303,611,016,508,130,482,100,034,863,138,565,759,179,332,435,797,406,
364,058,982,895,293,144,768,518,662,909,038,827,633,944,877,970,178,139,784,
333,017,729,843,514,776,219,339,821,697,714,775,773,586,221,972,645,946,235,
580,429,281,838,749,139,027,499,439,478,316,679,172,422,121,795,935,519,177,
621,149,126,892,331,753,879,662,581,826,375,795,635,219,633,528,711,354,882,
912,412,571,333,398,986,781,720,729,119,389,832,763,107,789,695,269,409,489,
073,148,932,780,906,750,828,629,111,640,043,457,704,656,086,058,961,887,233,
959,507,809,072,956,321,398,821,436,194,133,272,311,331,562,201,327,909,922,
060,248,674,158,605,298,793,846,510,648,348,813,660,462,645,860,040,999,520,
163,269,608,619,387,867,976,210,510,571,627,612,782,457,593,061,728,892,861,
970,151,878,001,973,751,888,439,072,340,625,702,734,585,576,024,492,361,549,
064,662,202,161,457,522,280,049,654,201,887,228,437,835,437,066,303,257,567,
038,833,519,506,995,272,790,708,826,284,894,975,564,131,578,988,489,244,429,
252,429,560,123,409,521,431,714,856,812,754,414,566,395,633,976,591,119,225,
283,467,189,984,538,207,444,595,987,600,605,594,299,723,998,263,510,066,615,
540,165,612,669,401,371,764,428,961,742,066,003,655,398,673,310,668,556,817,
470,461,081,531,226,923,122,365,421,465,509,341,886,080,601,796,450,315,560,
935,702,327,173,888,246,915,234,055,711,038,085,592,889,170,880,552,984,643,
188,389,149,721,396,580,266,933,442,962,773,886,405,118,789,320,675,095,704,
655,381,575,185,390,245,585,489,009,580,473,354,875,620,964,340,778,444,949,
625,830,982,667,085,987,561,874,581,423,418,485,949,419,453,466,952,802,736,
819,202,075,955,394,146,240,727,919,744,556,338,724,600,894,917,550,369,686,
884,843,632,325,083,906,296,933,262,101,289,392,763,169,271,977,062,214,053,
958,801,350,691,848,886,655,981,307,228,941,694,531,102,317,364,164,447,317,
099,570,771,925,345,548,217,035,243,008,742,559,468,690,248,012,025,140,280,
976,349,986,618,226,074,238,196,450,048,159,314,685,534,028,201,264,917,376,
629,683,162,979,077,391,650,498,832,080,894,414,728,260,377,629,496,131,700,
268,219,788,599,506,123,915,451,155,446,376,008,540,028,159,151,269,150,238,
435,644,038,858,867,274,865,297,477,079,770,279,204,649,691,443,359,053,115,
285,736,532,820,224,288,697,102,836,844,843,645,146,726,225,653,187,926,288,
828,947,204,896,096,168,282,155,745,180,789,083,015,767,086,232,790,886,942,
994,386,983,339,204,602,609,322,035,401,996,817,696,784,257,639,511,508,552,
128,375,677,728,278,585,620,146,516,065,522,962,676,227,326,546,959,352,454,
394,848,352,494,343,831,179,223,905,642,793,150,175,496,892,565,718,475,718,
565,620,399,375,407,455,322,800,345,331,472,498,875,870,494,209,484,711,203,
096,705,193,277,517,206,513,920,215,745,990,798,183,528,316,996,598,708,460,
005,223,429,604,875,285,934,079,292,329,306,148,929,660,319,253,630,113,931,
704,105,144,517,335,616,005,219,480,266,925,168,075,186,769,810,236,833,104,
393,023,309,531,495,964,718,139,288,738,995,709,590,701,536,710,034,832,460,
875,204,871,879,225,070,463,196,354,753,737,567,116,069,891,200,504,236,051,
725,110,920,810,388,739,308,309,710,724,989,938,077,115,989,763,368,998,105,
300,191,974,089,977,670,099,309,612,652,816,026,062,462,755,118,907,251,857,
447,668,201,281,510,138,649,377,162,905,097,884,768,939,941,917,862,070,192,
802,555,224,993,814,853,668,610,909,200,085,023,386,443,887,396,536,802,606,
569,312,911,813,474,429,585,258,653,546,656,130,272,279,781,950,144,777,901,
093,608,524,938,747,413,113,862,611,355,251,327,934,235,456,666,325,577,392,
791,885,685,190,291,576,378,784,001,608,204,517,186,830,960,219,076,439,120,
948,541,662,182,728,561,174,095,977,089,568,048,201,853,884,088,048,074,618,
413,992,210,146,953,946,470,017,512,821,113,490,966,293,004,312,023,466,802,
862,277,184,764,350,310,846,400,144,145,182,671,834,430,213,346,015,827,789,
331,716,743,881,991,461,102,672,048,690,166,080,294,235,606,296,096,572,569,
226,734,035,171,849,055,778,549,844,890,458,245,615,444,722,374,160,420,074,
196,188,144,099,303,987,271,000,145,637,894,024,087,919,699,684,138,082,926,
030,640,176,598,897,703,270,439,778,697,296,902,427,339,657,730,145,910,126,
375,109,497,628,426,989,848,816,043,341,647,436,049,282,624,326,090,582,682,
343,359,927,837,161,906,538,923,303,844,067,542,338,237,542,261,164,229,038,
866,791,834,141,062,769,497,455,707,772,318,917,082,866,992,316,626,895,262,
865,538,089,306,810,711,795,336,173,246,661,677,524,479,493,027,421,822,494,
322,986,313,990,167,651,957,298,838,008,989,420,244,926,181,165,400,217,833,
079,787,948,731,659,578,983,999,889,276,909,003,393,055,605,101,978,899,113,
666,361,494,724,873,975,717,755,577,481,467,659,953,486,143,411,411,456,744,
641,380,338,049,316,336,932,617,228,545,349,587,193,917,656,952,654,499,026,
284,023,923,005,092,456,267,408,714,103,298,317,435,425,438,126,832,548,764,
877,837,202,437,320,735,201,917,859,372,212,423,332,154,375,859,599,825,609,
692,785,520,742,259,385,451,038,310,939,653,140,524,267,607,022,186,626,682,
366,295,210,913,394,111,735,858,285,616,233,602,568,098,520,692,266,615,500,
597,475,601,843,607,005,345,068,966,201,428,761,736,205,619,238,364,418,028,
758,469,533,242,425,779,296,156,002,080,570,312,944,169,662,127,016,513,748,
581,088,862,729,199,946,499,097,362,148,073,051,373,086,128,159,384,660,460,
740,834,801,346,236,676,410,791,180,737,959,494,937,223,342,486,757,528,456,
392,528,544,296,758,944,913,388,318,923,865,120,548,445,819,064,129,630,808,
077,833,710,555,014,309,058,539,097,276,262,624,589,479,250,621,217,047,462,
074,638,901,544,206,269,979,420,383,160,199,483,270,817,453,967,349,305,930,
110,903,615,439,311,551,675,944,440,526,485,661,373,839,183,640,457,204,918,
869,911,492,188,556,114,237,936,154,836,568,254,388,006,236,445,024,268,855,
477,564,586,390,272,891,799,838,044,977,350,414,775,030,278,427,194,373,662,
526,753,689,309,279,551,557,277,871,842,673,288,368,582,642,408,167,529,307,
821,489,036,551,659,291,381,739,669,289,792,601,500,694,237,047,676,980,657,
113,644,210,023,094,144,414,657,457,731,142,639,210,060,123,542,006,482,599,
163,140,028,599,663,370,752,922,100,915,733,368,123,663,865,656,688,449,150,
693,115,214,267,102,582,439,854,762,400,679,864,142,907,275,822,469,532,291,
305,973,875,428,844,350,199,396,428,992,308,251,622,364,818,641,283,465,683,
762,137,607,807,397,872,037,758,348,376,739,827,940,761,579,180,330,527,586,
139,837,497,725,588,789,383,791,442,435,397,985,826,921,121,766,803,812,231,
037,839,690,451,739,184,575,500,544,233,222,744,777,560,411,851,726,905,472,
453,560,220,391,575,653,266,653,090,064,385,550,689,491,587,683,557,608,751,
127,026,243,501,041,279,426,914,335,374,675,479,317,595,326,114,033,215,094,
836,161,644,558,821,030,756,210,600,277,732,718,764,721,047,196,717,945,600,
371,456,027,992,820,404,108,930,988,273,595,815,875,184,122,590,085,795,355,
423,078,229,630,219,101,035,980,539,889,353,833,100,637,565,963,807,295,564,
312,379,502,626,616,742,476,206,908,590,530,666,153,119,986,950,558,644,420,
974,046,918,973,763,619,081,385,269,787,677,385,688,331,260,268,045,298,134,
471,650,304,408,123,909,118,442,074,166,518,498,277,548,757,807,004,773,032,
050,430,961,685,465,204,259,268,910,042,734,415,432,418,649,251,272,174,014,
717,226,715,542,863,985,206,489,832,762,161,986,162,938,464,767,185,522,830,
778,478,289,336,188,163,091,817,820,269,823,584,043,971,490,248,262,786,761,
360,892,702,067,771,875,455,951,433,201,847,128,218,795,856,507,259,846,244,
752,571,969,359,216,139,790,672,750,487,523,138,100,403,004,050,605,686,204,
225,030,952,016,015,137,547,758,349,010,999,809,608,305,144,106,932,215,201,
164,035,671,691,135,000,900,852,731,210,663,652,424,225,155,226,589,348,094,
109,878,335,858,054,904,292,201,704,723,233,961,014,118,584,239,409,772,320,
200,799,093,496,498,212,952,158,118,122,687,241,079,316,957,972,728,833,620,
433,724,833,061,530,424,104,143,757,666,111,073,813,310,304,770,829,645,443,
666,357,114,365,351,104,903,431,328,271,980,831,451,347,571,597,150,194,018,
538,115,834,151,569,735,465,490,364,577,122,438,891,119,759,346,692,270,152,
401,752,308,010,285,462,994,657,213,040,211,922,479,652,052,358,616,127,460,
425,500,239,992,655,707,183,734,058,671,350,770,506,396,822,763,875,320,844,
512,435,698,061,120,504,529,731,391,964,670,205,711,341,765,900,843,478,975,
280,151,562,090,197,453,634,366,261,557,010,534,293,669,315,398,096,396,407,
692,131,594,519,674,325,790,088,831,494,227,764,481,088,922,321,840,444,176,
774,740,105,537,625,018,105,516,498,278,369,651,141,398,720,964,206,704,018,
416,652,767,506,307,239,839,239,682,582,172,935,501,998,678,162,618,906,395,
169,378,455,997,596,361,732,122,824,437,551,751,530,676,303,825,194,680,730,
153,572,319,848,244,993,656,025,150,693,559,258,976,079,909,722,748,700,149,
507,994,994,355,292,086,909,996,795,131,639,509,115,983,780,297,023,721,854,
608,806,318,236,327,054,476,741,372,581,891,927,128,946,975,060,397,795,776,
077,332,875,544,198,106,114,477,220,256,160,379,051,273,388,257,467,352,068,
274,652,926,368,165,647,748,088,888,785,673,489,455,133,724,058,754,590,313,
349,472,057,275,980,137,904,925,061,085,085,650,588,964,730,744,893,750,428,
115,473,552,033,248,604,228,180,514,820,904,870,512,473,734,653,959,620,078,
213,502,410,104,439,282,869,526,341,742,936,577,526,902,169,783,133,947,922,
954,123,757,221,857,150,684,289,513,540,699,704,593,333,567,145,537,880,456,
406,060,490,125,893,273,888,888,498,932,105,117,388,217,159,728,874,503,660,
356,691,804,970,585,925,494,643,292,447,261,484,271,552,298,476,144,470,259,
691,991,434,425,348,822,780,261,135,570,365,837,905,561,194,539,332,568,167,
133,124,749,463,766,394,787,958,453,328,778,896,954,775,059,490,190,650,650,
340,125,087,715,819,931,165,409,804,648,058,598,045,574,318,510,009,964,264,
108,041,400,095,706,268,166,549,577,107,858,841,773,081,256,598,346,537,881,
956,404,592,232,029,826,529,664,933,542,135,118,652,320,969,210,504,723,174,
505,803,265,319,343,895,641,510,331,492,436,301,324,429,383,692,966,911,667,
463,558,687,537,704,098,576,464,359,060,168,374,602,961,282,430,215,603,620,
672,715,479,161,369,740,307,754,210,817,013,647,757,457,893,307,652,928,490,
620,005,813,501,003,110,705,271,428,954,357,406,091,915,922,832,665,901,370,
560,180,656,269,170,900,641,973,563,443,506,929,539,464,065,221,376,522,082,
259,807,237,403,258,121,935,889,648,049,541,318,829,075,289,687,171,211,721,
552,377,014,310,530,645,343,897,760,199,385,613,817,602,039,348,100,599,733,
054,079,302,679,753,431,963,198,975,613,216,250,319,678,989,387,057,106,964,
996,409,609,721,313,163,661,994,352,414,422,545,464,542,088,519,458,136,275,
849,575,220,709,254,613,775,473,357,750,088,985,146,220,848,984,558,192,610,
453,102,140,897,679,632,890,706,083,468,115,995,630,039,635,423,966,205,945,
835,629,227,002,618,688,441,952,777,587,222,863,179,376,449,558,532,463,294,
168,459,560,893,361,661,329,976,268,201,241,853,273,833,590,548,606,504,559,
924,900,478,180,167,358,502,738,438,653,792,350,538,356,610,475,452,247,892,
485,785,177,272,094,198,527,302,019,389,957,320,458,627,798,187,051,583,144,
846,474,528,614,791,312,040,955,915,970,398,274,948,466,725,144,981,215,080,
075,288,654,188,264,926,164,305,422,025,951,182,461,559,980,207,704,441,601,
004,301,164,160,166,831,941,206,738,578,381,711,615,363,501,804,935,327,280,
771,544,644,635,915,758,034,959,048,497,659,648,056,654,350,428,039,355,850,
356,501,449,852,030,749,525,618,560,536,299,768,877,914,237,073,057,451,813,
344,633,557,657,081,721,412,583,805,033,903,615,643,791,476,723,839,394,561,
572,845,230,519,492,319,538,635,361,119,670,315,451,816,104,861,062,285,212,
013,636,169,723,697,938,100,613,251,853,494,307,570,431,447,051,196,158,573,
562,250,643,024,949,659,240,026,262,991,868,226,117,664,933,310,118,877,459,
981,760,002,534,500,391,159,806,469,677,520,940,973,368,092,050,734,474,667,
189,850,338,963,347,709,667,661,717,854,477,516,328,709,533,465,819,703,160,
686,395,445,650,074,048,835,610,312,126,738,127,752,586,512,015,961,437,222,
375,971,186,432,762,955,738,378,940,947,477,941,449,528,302,246,696,265,166,
906,340,174,010,416,484,971,620,165,270,434,172,528,204,182,914,805,685,579,
127,705,584,667,932,063,032,615,237,791,531,249,881,768,076,361,406,196,609,
494,901,940,506,062,914,657,840,615,395,241,426,306,672,375,831,344,520,781,
036,712,151,479,759,613,745,529,348,930,661,938,705,528,936,549,283,328,524,
089,970,214,608,535,261,822,304,892,851,298,855,565,226,500,690,160,361,904,
763,926,888,922,598,586,821,358,844,434,657,542,844,113,955,455,816,495,284,
902,870,356,962,975,264,032,753,322,525,353,073,759,223,188,938,975,907,760,
927,141,387,446,827,354,871,900,953,261,992,189,151,239,362,747,398,249,310,
300,228,816,839,812,840,835,516,537,239,768,457,936,633,690,516,727,255,581,
367,556,185,266,718,273,274,050,209,862,718,233,772,349,824,089,922,904,650,
459,859,862,407,017,048,915,727,552,423,163,304,082,335,887,075,873,681,295,
762,156,965,585,918,334,147,276,051,197,068,411,937,831,871,392,759,209,498,
878,799,907,688,065,857,913,853,723,452,715,859,103,316,771,320,994,420,831,
331,966,649,896,289,002,350,065,544,654,540,650,141,987,016,692,270,867,655,
848,733,542,203,583,766,350,839,753,553,505,423,994,444,525,673,723,352,166,
289,710,849,301,712,959,030,241,983,102,033,611,112,747,912,952,053,909,693,
146,234,671,803,385,910,530,914,144,284,707,814,013,036,582,102,363,438,019,
363,071,794,631,864,840,078,228,794,213,243,864,859,021,622,977,567,555,799,
737,941,231,353,182,187,760,793,842,777,325,693,110,738,111,522,261,535,829,
349,896,335,678,581,909,406,786,223,288,678,887,904,276,439,492,775,651,727,
761,912,193,598,613,842,469,996,822,742,397,729,990,981,290,546,005,490,949,
499,369,148,292,606,674,684,941,108,421,354,920,000,494,502,838,464,288,017,
100,497,198,447,531,638,799,412,768,517,641,403,091,011,133,363,471,773,047,
271,388,319,654,538,176,416,247,634,535,997,407,270,006,732,476,584,693,570,
343,496,385,345,564,323,190,124,232,647,209,551,179,389,848,581,757,049,776,
974,106,049,235,309,615,993,372,427,879,594,293,406,246,433,974,999,035,768,
204,415,697,352,879,392,116,963,341,214,544,642,759,971,031,027,212,209,883,
608,180,135,141,100,478,979,485,300,742,226,138,718,680,576,415,866,596,089,
139,027,546,765,877,157,050,183,415,973,511,885,481,875,987,162,326,789,768,
431,299,606,227,914,150,581,087,941,057,529,655,955,851,793,846,988,794,155,
017,199,586,750,035,686,191,863,697,859,505,957,909,021,263,651,896,801,799,
739,999,641,207,440,025,766,866,950,328,967,344,924,861,255,061,598,814,618,
572,703,531,282,576,212,754,555,226,284,596,201,599,063,269,499,143,477,863,
335,996,637,935,353,203,545,402,512,295,492,014,715,852,583,077,143,941,709,
955,639,259,446,200,372,592,069,129,852,762,579,925,064,868,652,522,658,198,
610,773,282,873,682,141,415,179,073,337,254,561,660,229,590,741,589,036,719,
460,363,678,853,235,632,964,074,684,173,654,817,154,246,965,487,217,084,563,
493,815,030,377,391,471,337,107,959,050,830,363,401,738,750,612,200,170,132,
110,081,806,236,235,921,172,094,566,813,919,454,754,417,076,818,226,309,088,
753,013,975,420,894,374,484,637,251,249,052,076,203,990,019,329,521,695,254,
398,747,236,887,443,880,457,574,488,203,364,331,157,644,394,525,566,824,481,
152,468,980,206,838,453,297,198,490,610,024,351,331,100,942,842,286,374,580,
020,380,004,183,012,461,952,981,285,021,371,377,976,138,127,090,352,466,746,
471,585,212,946,836,866,864,885,093,764,331,124,562,278,945,227,396,617,743,
978,167,245,790,653,246,270,539,297,771,721,623,562,063,859,886,335,086,327,
672,524,320,757,956,140,769,515,534,351,129,463,101,676,165,852,206,051,066,
057,320,924,810,316,418,494,871,759,535,146,964,026,572,317,650,319,684,612,
587,671,190,082,261,587,543,529,850,966,973,506,289,873,078,976,907,069,604,
566,145,004,289,176,237,819,102,030,736,907,800,208,436,109,945,765,414,204,
116,832,447,246,739,682,831,530,462,310,698,893,262,487,365,541,744,695,380,
874,444,135,695,062,626,200,901,822,592,806,028,423,447,035,535,386,523,884,
517,914,387,481,897,912,438,669,825,232,314,362,529,346,563,330,256,498,737,
106,317,051,299,851,884,057,393,689,916,395,587,412,518,080,670,617,574,871,
826,706,520,472,774,184,383,056,713,171,167,035,944,337,169,533,042,007,585,
531,617,590,410,721,648,737,570,625,461,215,461,088,522,975,421,013,674,594,
370,256,958,692,597,258,686,632,219,461,275,927,895,298,813,719,184,208,559,
315,100,016,896,786,745,303,778,452,833,296,101,099,720,538,826,251,925,223,
930,971,139,866,751,298,881,088,338,732,885,187,580,330,132,640,898,744,947,
861,413,296,949,425,167,869,344,470,259,861,331,031,414,539,852,076,377,105,
230,375,598,025,428,402,989,150,632,249,932,326,239,327,329,008,113,498,713,
262,308,338,112,415,139,786,815,392,954,704,633,129,894,631,373,367,427,312,
992,532,071,895,910,142,999,034,932,717,984,096,063,613,226,895,623,106,674,
958,593,262,325,649,363,655,397,715,393,816,590,057,343,487,370,580,699,540,
539,754,677,384,535,554,139,501,323,984,747,603,238,989,596,239,035,268,101,
146,260,055,496,633,795,222,254,098,612,039,807,216,388,912,991,070,023,483,
116,257,199,301,311,154,272,539,073,185,072,860,079,429,702,011,936,486,238,
938,575,995,292,430,293,008,640,405,199,268,532,582,593,779,333,340,161,949,
232,325,873,717,859,158,231,601,581,046,947,284,098,603,848,348,188,004,443,
967,443,298,023,527,525,865,633,908,147,740,375,645,786,173,119,380,154,684,
767,058,343,900,651,656,809,439,614,583,763,343,435,962,598,275,704,152,088,
155,548,936,394,716,595,884,247,932,030,947,722,069,271,757,163,990,136,087,
785,210,342,663,514,233,996,390,366,680,247,351,066,851,876,934,845,533,000,
730,708,942,594,131,425,492,213,100,063,479,046,805,869,651,598,551,224,940,
020,605,751,638,636,433,256,803,776,650,068,614,821,929,396,201,629,625,586,
260,366,994,332,726,954,245,423,948,214,949,632,438,313,739,783,873,390,221,
484,098,464,095,825,584,930,974,470,439,643,988,948,068,762,260,998,267,055,
194,269,075,962,898,458,511,649,512,546,935,217,869,035,871,189,920,996,257,
791,236,290,155,486,303,052,465,122,118,948,882,294,793,725,358,604,559,323,
925,000,011,090,072,808,861,720,224,197,546,056,663,921,221,737,214,249,622,
885,399,344,776,007,474,456,682,110,013,154,713,411,814,219,771,412,890,859,
518,972,578,264,107,392,867,981,160,450,721,019,542,779,956,594,992,119,705,
503,691,035,097,149,405,046,928,284,220,894,519,353,885,620,936,911,625,821,
184,288,732,903,267,011,632,415,493,382,324,286,820,465,939,516,974,810,971,
426,753,974,844,310,797,728,380,536,362,090,528,933,016,304,770,330,724,103,
969,146,547,136,198,653,972,406,490,625,233,499,856,238,204,194,411,120,897,
442,240,172,758,180,995,320,631,441,603,322,836,580,271,690,686,510,244,549,
877,401,922,536,157,385,626,562,742,491,266,679,019,981,298,276,479,996,460,
517,078,474,337,798,374,923,031,352,543,099,158,285,896,899,232,802,209,393,
624,535,582,024,105,329,758,519,705,795,434,313,697,122,821,732,671,237,681,
193,575,496,472,945,119,811,664,600,811,086,685,153,913,497,860,108,994,404,
229,756,949,644,474,594,617,802,040,105,669,016,714,723,234,797,439,641,535,
284,622,042,291,137,884,889,294,760,268,520,437,762,450,750,338,937,882,444,
537,267,772,631,442,283,265,357,267,169,696,392,641,205,687,605,325,577,873,
001,914,686,885,710,250,753,935,717,834,474,953,457,591,935,470,526,942,131,
170,486,639,229,151,524,936,048,056,154,971,551,471,782,664,612,403,032,122,
612,932,634,869,512,152,109,539,287,911,311,866,920,499,687,749,739,378,432,
521,671,237,619,172,131,533,292,832,949,119,871,869,369,930,946,571,329,758,
070,847,961,526,764,719,148,629,530,339,206,232,928,193,770,509,639,138,994,
906,141,806,990,982,380,888,003,692,146,325,687,488,856,478,743,495,427,424,
097,536,367,291,424,327,207,097,609,131,243,224,082,117,648,209,250,506,580,
215,910,638,071,717,564,246,618,618,493,299,975,793,947,733,505,830,994,281,
467,136,271,494,391,852,907,715,351,479,399,465,149,754,775,993,488,652,753,
465,070,357,070,533,892,142,733,468,738,767,674,301,197,752,304,430,961,168,
477,764,116,989,446,164,078,844,166,228,660,408,472,672,881,231,553,384,936,
312,026,151,284,028,791,386,100,433,639,799,216,987,097,767,977,836,263,566,
598,843,964,298,596,582,740,096,456,236,348,387,322,577,800,669,305,398,212,
863,672,758,192,235,090,794,542,600,846,669,889,241,911,617,304,961,544,591,
700,623,157,882,165,453,495,521,744,194,455,685,128,358,278,539,052,081,759,
927,348,957,470,333,912,554,432,226,867,867,654,090,482,647,207,380,681,923,
584,848,039,673,355,584,857,884,730,253,784,498,104,256,010,599,031,682,916,
565,461,912,760,322,370,747,421,236,671,229,696,139,432,281,613,483,758,900,
195,820,574,889,806,736,518,203,944,728,438,504,873,297,266,075,815,497,410,
327,292,871,406,480,197,410,669,941,085,956,049,726,672,369,028,164,414,370,
399,927,704,877,505,450,730,093,474,471,113,233,983,976,752,088,867,492,956,
724,481,183,742,101,592,293,405,174,116,004,792,979,607,534,184,110,809,613,
611,077,963,422,540,786,666,928,876,209,246,527,463,855,030,226,985,016,918,
157,889,843,277,439,290,818,141,249,264,665,999,260,214,268,540,472,496,999,
554,637,162,070,417,220,439,646,890,362,690,470,416,157,458,063,811,503,514,
638,622,374,880,334,734,853,856,642,197,501,183,672,111,165,025,244,254,379,
777,177,317,463,191,078,779,468,820,848,686,297,820,394,753,798,169,644,939,
780,771,665,954,221,652,880,572,395,685,158,697,302,716,660,477,236,317,211,
947,299,380,457,144,225,248,159,281,918,075,340,814,696,872,364,886,619,365,
771,196,268,148,875,922,651,285,173,092,308,636,316,887,455,095,619,935,493,
482,468,785,857,769,139,629,549,407,739,663,289,661,594,645,891,831,479,840,
200,489,951,074,170,819,207,724,238,218,478,283,465,773,636,401,760,905,967,
131,124,910,714,248,673,019,573,235,197,813,061,962,082,983,799,471,919,716,
399,078,959,916,584,966,190,608,367,101,392,085,714,978,066,082,067,764,886,
670,843,940,354,296,457,058,409,255,073,063,201,163,487,109,193,583,195,260,
774,390,483,149,039,187,838,969,465,886,524,287,415,622,152,739,720,499,346,
637,041,357,289,573,295,068,471,495,378,943,001,483,679,043,536,793,434,859,
094,389,330,952,697,352,680,572,038,128,926,005,834,727,481,318,260,920,447,
192,785,721,963,832,848,362,579,605,963,107,928,135,603,439,470,182,210,493,
189,415,929,587,069,307,412,802,427,570,199,754,540,853,778,070,394,845,183,
064,958,124,015,149,932,483,131,156,612,724,568,202,560,572,024,762,853,946,
172,238,323,263,361,700,416,378,010,495,434,290,164,094,575,321,510,571,793,
075,726,637,337,869,166,692,794,178,635,714,821,206,038,392,190,442,174,769,
592,961,973,266,055,483,124,056,553,859,309,100,471,098,372,538,139,204,278,
451,746,148,151,794,345,185,866,682,463,132,685,463,183,577,285,886,499,073,
836,651,817,456,068,003,639,100,634,233,811,977,384,888,690,064,930,776,797,
091,946,481,036,409,512,487,209,697,808,157,820,902,345,281,976,724,154,352,
816,597,118,150,827,759,448,510,325,751,305,398,487,652,248,297,398,002,852,
069,154,906,526,070,055,844,784,152,430,385,005,535,903,012,641,503,695,695,
930,068,208,159,214,114,976,270,274,013,719,318,678,278,490,564,486,228,046,
622,796,610,478,264,846,143,512,340,639,890,158,146,086,179,443,029,377,047,
573,148,205,142,638,861,466,214,583,557,737,987,332,681,841,466,544,164,164,
974,507,715,286,736,666,772,460,229,946,817,259,710,453,057,498,315,235,642,
939,317,338,634,277,594,199,937,785,533,924,081,470,075,053,184,428,521,708,
334,297,496,597,273,566,336,284,697,619,237,107,809,865,104,318,451,883,514,
514,525,553,325,316,326,120,050,844,127,391,812,062,437,271,417,193,547,053,
893,214,749,760,244,369,808,344,422,051,899,042,283,730,246,413,825,582,655,
986,208,586,295,033,307,206,687,665,444,295,606,725,181,110,018,560,755,234,
697,185,628,439,915,158,110,343,360,050,170,187,810,836,234,316,325,886,564,
958,703,465,474,845,006,260,191,748,892,125,744,670,059,945,642,519,415,780,
615,980,403,906,409,612,140,418,991,980,130,863,758,645,264,966,867,834,644,
619,379,897,519,323,689,236,922,909,885,733,281,415,550,993,236,810,443,888,
759,662,311,863,925,289,924,528,351,080,086,098,763,396,362,277,885,732,096,
866,716,336,804,870,336,242,325,130,520,513,810,266,233,772,517,197,139,038,
403,760,700,814,830,783,713,012,353,372,701,969,226,803,439,454,781,203,965,
896,268,601,239,527,169,051,516,861,286,816,102,352,118,496,840,661,103,759,
395,439,000,529,217,147,726,129,148,909,830,969,509,427,097,676,750,624,058,
121,917,096,139,521,556,700,949,624,262,498,331,466,319,633,451,432,402,293,
259,004,737,728,623,610,178,512,556,793,212,520,613,556,222,074,973,382,304,
089,253,880,217,031,254,843,810,974,954,991,469,706,476,691,794,028,558,736,
109,296,485,449,704,564,567,063,719,167,458,251,666,558,379,520,378,790,131,
869,083,272,720,040,055,231,343,405,007,590,204,423,467,724,357,669,261,345,
804,512,461,019,358,289,955,430,328,936,614,230,109,089,828,953,507,217,204,
635,081,017,053,499,423,530,986,995,996,508,323,571,423,189,321,345,292,382,
361,825,700,517,412,217,495,064,259,984,232,704,108,916,479,660,257,819,426,
787,017,298,432,364,140,080,295,432,795,139,378,559,389,011,248,642,525,519,
877,155,648,392,966,597,264,028,952,786,597,406,429,026,794,681,448,069,242,
023,430,788,704,135,431,688,135,913,160,964,344,529,765,694,608,928,007,605,
389,369,536,487,750,122,577,980,504,690,859,601,267,298,814,776,597,416,474,
957,191,961,083,013,404,940,987,860,565,845,933,824,923,281,282,394,452,440,
583,332,106,390,106,558,488,362,654,469,658,487,451,406,154,437,039,949,511,
930,686,532,485,312,784,230,841,747,095,118,324,132,882,088,245,897,497,844,
074,320,130,959,050,811,072,433,706,537,749,629,774,067,061,664,522,011,425,
148,128,956,112,692,472,489,108,509,388,073,702,057,854,887,067,015,670,266,
029,812,211,549,285,082,281,480,179,022,849,417,912,600,058,971,165,160,291,
329,189,754,746,172,708,969,331,249,357,067,375,112,848,489,367,208,674,889,
793,600,969,567,794,082,424,913,190,739,004,150,077,009,856,717,870,921,893,
923,911,746,391,230,305,275,446,690,911,506,710,630,274,623,585,076,583,736,
408,357,348,938,463,469,992,306,820,922,620,950,010,301,651,014,942,058,555,
465,710,678,109,412,742,731,129,886,255,396,944,652,957,691,264,228,766,064,
488,434,360,174,743,440,234,257,224,925,808,003,296,559,081,449,377,837,170,
480,573,232,141,503,225,304,616,153,215,512,963,299,284,657,457,175,391,140,
723,391,773,550,668,118,463,331,738,315,388,419,219,481,017,070,093,021,181,
064,461,124,346,465,996,370,499,096,956,425,680,231,918,487,509,657,997,691,
615,872,951,472,716,390,533,086,059,562,000,977,810,052,385,735,254,646,596,
826,945,458,885,580,020,341,670,715,221,049,014,653,702,646,767,880,891,850,
508,656,997,329,307,878,446,154,495,203,231,681,870,792,286,870,697,329,290,
660,264,668,983,268,931,619,369,786,990,439,973,593,959,567,108,505,800,425,
173,823,811,233,912,001,484,371,016,751,802,682,887,144,215,494,316,874,244,
769,078,651,907,516,067,167,860,024,244,499,031,460,182,279,295,283,561,976,
592,001,386,306,524,685,613,725,448,519,609,048,933,944,840,355,618,757,109,
863,375,042,224,134,005,489,838,859,530,121,505,024,554,179,162,461,617,639,
389,801,228,516,071,372,081,240,662,135,083,510,279,927,011,815,249,778,540,
860,582,303,460,348,740,940,445,285,959,899,729,290,780,795,217,318,232,961,
373,526,071,950,442,300,440,530,729,410,819,076,563,118,706,192,649,388,074,
113,925,914,480,905,258,287,992,595,233,012,489,802,574,432,227,037,235,610,
402,325,478,544,623,567,065,395,987,755,011,919,434,083,252,032,465,316,081,
515,027,295,360,300,680,775,288,161,664,965,708,710,668,166,993,018,415,867,
479,863,130,600,909,977,512,790,486,702,221,696,293,643,088,741,230,058,970,
476,417,257,081,886,307,543,391,736,233,750,960,236,287,060,801,877,718,347,
746,632,682,038,840,049,917,386,332,665,277,802,540,863,065,077,762,166,941,
630,083,527,151,059,391,417,834,085,935,150,477,416,911,240,486,608,941,611,
846,915,050,960,324,453,584,633,243,885,962,754,589,893,029,272,395,760,329,
528,007,701,191,373,423,703,959,154,218,487,045,020,290,856,040,446,954,998,
213,503,635,445,999,143,801,617,312,527,343,932,414,899,554,126,431,867,793,
793,401,168,257,679,156,413,829,494,096,989,619,900,504,133,395,180,202,223,
270,610,579,070,111,898,911,235,320,104,508,898,134,299,592,796,522,215,175,
165,941,798,257,443,493,268,222,948,117,895,402,753,131,762,040,629,223,239,
453,686,628,454,005,768,027,169,893,935,597,897,892,549,586,914,071,017,120,
647,852,881,204,398,403,339,881,701,808,652,617,928,777,328,622,375,637,945,
366,730,195,549,366,679,726,214,126,050,192,500,405,849,629,176,826,614,924,
354,638,317,177,285,846,738,126,579,799,345,752,182,081,069,718,741,192,626,
722,417,404,589,696,806,606,243,470,046,636,179,300,616,720,355,882,726,789,
806,198,980,271,040,065,524,414,731,906,758,325,729,673,704,423,103,322,117,
722,770,845,379,940,980,582,991,873,084,641,104,952,764,018,036,068,830,904,
910,196,858,627,033,552,265,748,917,616,565,027,565,610,885,193,170,945,993,
447,856,964,100,436,721,012,365,617,486,768,622,694,053,611,928,120,477,055,
445,109,976,954,927,382,137,655,483,645,061,718,881,922,469,795,000,147,402,
180,819,140,574,668,820,714,345,883,180,496,932,846,728,927,552,657,481,116,
286,021,280,881,192,448,335,880,582,051,380,974,834,047,828,737,771,430,910,
780,293,312,642,481,367,769,897,577,104,852,107,029,599,006,743,382,926,627,
040,477,167,461,272,129,121,817,202,577,557,064,307,302,009,898,293,610,389,
083,573,802,427,582,166,832,142,322,457,355,362,713,091,797,269,022,947,302,
515,847,635,423,932,321,874,136,121,604,770,515,463,997,395,044,014,968,574,
786,434,286,893,582,668,050,519,704,300,641,883,196,403,849,188,545,516,596,
015,330,597,928,860,986,879,490,760,705,988,064,612,963,446,470,400,164,051,
771,814,328,943,103,005,152,142,839,244,879,103,608,109,532,527,730,630,773,
856,850,708,789,792,763,303,623,241,611,749,786,041,353,405,011,587,643,013,
401,240,326,705,928,970,748,653,893,612,039,260,904,829,928,276,582,484,854,
043,868,651,414,154,214,742,857,641,118,111,990,029,229,524,651,581,683,048,
412,800,735,974,512,845,430,035,849,429,154,964,906,686,063,666,176,435,200,
556,320,420,321,579,785,992,340,238,030,954,794,022,889,162,987,489,142,672,
104,651,766,938,270,380,949,131,143,040,782,209,336,599,502,945,796,783,777,
520,376,222,285,779,547,774,863,535,738,221,675,837,335,484,159,298,038,339,
421,616,029,237,141,256,326,777,308,410,525,877,972,482,725,156,689,702,656,
035,620,955,907,110,229,242,241,986,739,671,700,529,951,356,906,784,433,412,
141,878,129,771,327,390,896,026,397,602,353,189,471,375,497,777,434,484,750,
655,857,050,909,802,820,127,543,604,952,300,285,139,432,092,728,035,504,836,
069,462,459,159,543,877,858,566,456,423,378,954,501,310,044,406,006,895,025,
123,551,700,076,524,296,029,318,520,471,359,326,920,508,679,009,617,929,805,
236,547,634,764,672,373,358,361,722,984,469,789,619,678,763,368,763,781,143,
976,600,851,533,354,073,022,628,130,895,921,393,889,038,176,058,512,948,448,
937,083,474,472,366,178,279,251,726,184,392,644,374,148,323,650,728,991,459,
129,089,879,199,043,359,700,977,563,795,611,597,527,043,213,507,093,904,397,
355,817,486,474,389,988,655,087,223,154,130,228,615,029,594,713,742,856,060,
666,125,844,060,605,084,756,015,190,713,693,311,463,830,188,618,364,369,837,
519,070,990,099,766,579,255,225,272,045,988,662,652,787,827,346,922,585,250,
265,466,006,424,099,258,061,986,081,478,196,494,778,677,134,368,560,133,604,
081,812,328,698,306,779,146,843,932,235,421,191,249,106,483,419,601,512,313,
674,006,824,734,287,452,371,900,154,811,479,629,075,810,567,325,665,111,193,
263,803,284,529,473,738,213,983,939,738,734,335,028,491,735,131,020,082,624,
659,028,941,687,438,458,939,201,489,095,653,683,199,913,708,173,128,909,321,
319,372,276,125,068,448,279,354,747,660,416,834,327,324,578,050,663,310,289,
435,776,864,895,408,730,490,468,884,038,010,705,704,863,720,122,601,249,001,
451,099,212,224,542,800,284,829,511,981,791,582,920,144,052,805,971,909,675,
606,093,340,936,293,851,975,885,350,952,072,589,257,293,364,358,506,089,045,
962,977,284,896,850,775,805,703,027,257,798,053,764,094,884,379,841,832,161,
315,008,161,235,896,477,702,925,815,757,945,279,545,870,959,235,873,847,954,
158,563,448,994,942,576,494,655,161,164,750,851,576,743,691,413,141,196,709,
921,619,294,600,436,437,807,904,204,967,661,725,374,874,855,217,024,938,288,
304,523,300,283,570,637,819,939,034,396,427,195,628,084,110,697,822,814,301,
938,050,299,944,561,007,401,054,571,316,568,076,475,895,520,062,299,872,145,
757,951,902,641,577,768,002,714,789,382,313,924,601,744,759,836,195,326,714,
073,365,127,319,627,185,829,648,337,672,677,989,741,614,234,981,549,272,394,
725,576,393,992,714,092,257,387,637,232,091,510,976,908,695,658,543,673,644,
511,596,125,494,313,043,721,534,597,932,620,624,945,942,950,603,094,780,393,
294,672,824,663,017,368,712,753,743,159,908,347,448,944,775,189,907,794,533,
060,878,647,101,928,101,834,973,584,927,390,079,237,039,352,038,299,444,280,
149,485,443,916,191,705,235,189,100,019,915,412,211,161,962,655,830,777,049,
341,836,251,568,784,885,848,994,195,045,447,748,500,045,122,199,499,175,676,
792,282,773,906,674,043,386,329,996,385,448,470,460,948,116,458,303,735,217,
975,962,685,736,416,234,937,420,315,039,406,737,496,726,550,282,305,720,695,
429,089,687,378,288,863,706,850,045,078,019,618,146,357,996,832,282,086,910,
131,181,629,586,516,899,987,501,752,054,519,250,044,855,840,897,082,020,452,
918,441,524,189,935,606,814,724,017,742,075,253,339,463,944,379,440,900,005,
210,891,372,273,216,537,346,423,511,102,098,705,481,664,106,614,987,490,615,
279,190,886,345,173,220,043,814,929,537,106,801,644,280,250,279,723,792,485,
920,444,511,169,731,455,299,797,931,513,811,028,313,621,611,276,224,432,662,
914,420,609,530,312,912,807,385,233,370,139,819,831,837,956,886,689,834,019,
878,222,557,259,185,023,037,157,767,880,985,963,857,621,317,567,016,434,513,
122,834,113,501,314,062,627,643,852,038,374,896,380,086,930,453,921,764,411,
723,437,603,439,919,919,342,924,102,071,389,403,596,604,928,875,604,285,796,
933,290,879,049,954,331,509,651,878,233,113,770,414,661,712,471,540,912,978,
770,239,643,351,401,050,696,976,135,022,336,615,961,755,819,631,725,359,695,
658,695,800,642,945,982,918,203,474,065,512,306,186,834,682,390,855,512,660,
811,536,980,618,243,242,671,379,029,300,257,946,332,158,742,133,761,011,017,
586,781,740,895,287,778,795,818,882,205,031,496,413,508,766,123,829,510,490,
148,894,578,626,338,160,010,642,879,133,513,589,042,491,386,126,238,780,479,
820,982,586,344,962,579,097,773,272,795,801,881,036,584,544,133,722,266,779,
399,569,055,033,107,017,763,364,099,494,207,238,451,192,598,958,397,769,533,
677,684,495,501,963,504,601,788,011,352,688,443,393,328,815,708,334,055,627,
731,872,831,583,229,683,617,185,814,845,214,747,399,948,213,277,409,650,226,
628,469,528,119,503,636,499,885,482,952,399,490,006,456,473,343,309,320,989,
919,036,384,039,697,485,186,868,056,993,233,606,247,894,901,127,499,958,992,
885,970,491,375,000,589,884,087,884,150,976,791,019,691,981,637,321,839,811,
846,856,989,327,520,576,419,260,007,749,279,405,804,642,087,087,946,079,258,
699,693,549,085,047,097,991,383,581,676,059,674,688,725,077,450,037,907,507,
810,944,546,373,373,853,785,724,860,149,096,761,318,512,745,791,752,538,848,
570,267,970,065,584,965,489,341,171,918,273,957,977,294,599,082,766,442,441,
487,389,567,340,198,713,613,423,293,921,923,998,472,287,922,589,234,476,416,
573,930,060,072,656,157,443,187,948,261,560,603,916,631,391,817,733,542,903,
951,500,615,325,283,925,076,630,712,268,191,440,187,968,747,112,514,963,105,
086,811,063,676,999,940,801,337,927,539,805,087,059,377,187,803,890,021,658,
669,692,714,108,940,512,700,132,785,440,245,180,139,275,848,604,916,218,309,
054,214,301,338,089,134,687,366,173,999,682,091,109,006,092,889,086,999,947,
054,754,091,898,847,112,271,434,453,785,107,203,411,961,942,581,174,860,791,
357,067,580,169,121,162,492,802,477,109,306,570,144,031,925,741,546,502,755,
322,528,302,516,928,721,324,490,040,319,853,025,550,645,651,762,934,618,451,
824,794,498,562,391,054,548,863,779,135,206,690,169,861,570,102,473,311,625,
250,997,002,925,022,506,941,985,864,216,480,150,196,919,020,427,743,093,317,
780,571,809,172,222,982,007,276,321,701,014,968,899,929,349,223,493,051,427,
161,895,274,022,757,526,510,612,964,981,539,501,569,073,838,890,438,858,231,
462,727,633,985,864,631,600,203,402,854,549,467,428,365,828,815,325,857,605,
160,983,555,817,795,667,140,812,222,918,115,752,229,827,592,772,006,996,796,
942,675,170,081,505,115,031,829,445,285,839,292,627,530,464,749,277,363,123,
629,945,470,577,651,137,161,967,785,277,406,715,269,132,339,027,529,446,222,
883,242,642,614,792,408,978,402,237,677,790,424,609,504,152,081,333,813,116,
127,767,930,441,774,229,842,854,995,700,833,159,532,773,395,697,017,264,452,
727,241,737,471,094,332,356,327,924,222,187,399,270,486,170,905,815,413,451,
534,669,713,956,824,912,990,719,102,190,019,321,253,073,632,623,580,129,142,
246,140,541,580,200,719,951,386,427,455,014,873,828,201,650,817,796,105,374,
248,516,346,793,707,711,941,987,911,496,782,143,724,349,382,907,155,573,556,
307,379,028,480,667,947,146,685,193,115,824,490,951,650,253,828,003,106,930,
578,090,812,433,259,290,615,882,884,050,383,970,335,391,307,797,817,153,009,
467,904,790,738,160,284,200,540,556,873,923,749,113,625,401,221,124,475,111,
846,719,990,586,166,673,544,230,060,339,919,633,063,804,970,484,120,552,002,
517,033,241,972,180,523,021,087,374,585,859,118,555,058,441,732,851,100,174,
644,262,618,657,825,069,175,072,613,521,486,541,925,766,987,527,172,690,080,
015,910,518,120,511,194,515,265,578,955,661,544,065,897,511,585,668,214,128,
425,652,239,654,891,378,297,301,025,906,225,831,096,057,897,185,394,436,786,
719,777,051,228,380,585,036,915,357,152,842,794,535,040,177,917,863,369,401,
075,941,613,792,020,681,728,975,452,318,364,594,679,887,156,127,434,800,207,
948,504,754,350,700,488,001,464,160,494,433,211,862,545,832,800,804,044,920,
272,124,861,676,468,293,014,318,804,647,034,802,093,831,438,303,492,554,973,
539,100,767,960,895,785,004,430,085,472,100,091,679,335,962,461,764,309,720,
203,600,142,825,819,285,999,929,005,205,206,731,413,820,314,429,128,456,737,
431,194,610,315,379,331,694,077,405,662,389,877,328,939,763,337,656,796,686,
335,330,675,445,077,598,739,668,596,504,337,484,003,184,596,858,906,468,592,
216,157,478,634,243,256,224,372,887,914,511,198,443,479,988,707,209,319,152,
677,098,921,545,519,639,390,101,546,668,504,446,188,096,577,023,672,723,747,
014,604,143,598,563,412,494,999,530,083,616,204,008,869,151,986,481,678,196,
148,691,052,497,113,980,213,233,769,574,610,239,417,017,740,614,740,460,108,
281,582,966,507,416,447,270,857,722,702,539,925,801,646,255,049,620,900,165,
725,564,062,299,382,863,476,266,367,063,348,378,216,244,284,505,214,263,461,
654,062,687,094,099,465,174,933,526,283,246,545,306,142,743,999,730,529,361,
611,100,441,120,557,691,875,434,315,084,485,702,305,564,244,315,990,175,943,
624,879,075,351,403,700,825,154,247,173,548,375,814,305,179,667,115,945,014,
314,949,479,828,169,690,908,641,093,176,985,285,582,812,534,244,442,797,923,
503,428,025,073,885,859,321,866,207,924,887,998,986,997,571,726,633,606,697,
169,648,068,969,177,017,022,030,264,247,960,418,332,794,736,207,723,438,047,
871,295,931,596,088,654,878,834,111,918,091,836,502,475,475,975,591,584,514,
665,804,795,198,163,459,480,414,760,542,997,836,444,532,809,636,984,160,908,
000,780,275,155,904,970,067,338,556,330,484,671,126,083,395,190,249,365,092,
751,246,038,788,530,049,617,577,337,466,383,950,158,986,246,685,812,107,142,
703,318,734,938,357,107,832,802,566,287,666,900,569,559,894,551,613,474,972,
485,114,400,226,344,194,045,145,768,137,746,677,554,416,299,345,172,490,397,
016,457,997,498,577,571,351,263,323,734,240,284,550,337,949,100,826,467,528,
651,013,430,095,427,796,703,660,238,113,647,488,862,801,255,104,212,391,107,
563,269,986,074,893,079,667,757,270,857,028,872,623,204,757,140,605,311,326,
977,786,937,760,261,683,589,630,994,379,409,535,014,534,953,300,960,996,391,
291,493,075,814,024,341,034,397,163,261,966,351,681,478,441,907,049,535,107,
799,350,029,882,056,827,279,249,128,055,446,056,005,788,254,754,796,360,167,
892,313,645,826,820,826,095,238,338,105,325,382,026,890,915,104,688,299,116,
695,133,922,076,400,646,263,297,355,484,476,869,331,563,011,789,916,060,028,
584,774,911,575,891,455,643,673,800,086,381,563,037,600,885,413,248,091,575,
096,213,006,984,467,649,833,842,081,261,431,478,957,006,067,766,432,884,074,
698,783,305,066,558,729,689,719,460,128,792,448,306,145,777,904,658,891,375,
127,467,084,386,965,582,449,294,418,401,372,176,064,397,998,026,582,203,491,
778,651,086,703,193,920,713,597,231,349,860,137,828,105,212,948,598,602,225,
665,298,968,502,809,536,295,443,055,449,648,073,200,863,533,318,661,425,472,
419,084,801,208,347,487,079,159,890,341,386,443,106,180,128,043,579,897,570,
288,967,311,265,290,182,216,728,752,374,680,153,404,290,173,300,743,315,763,
428,179,970,226,365,647,245,779,748,930,885,783,645,350,754,979,089,621,106,
926,893,737,713,234,332,611,222,786,536,505,224,780,670,856,075,790,922,812,
943,053,815,229,492,389,819,402,064,415,736,963,969,030,523,686,478,944,110,
959,512,711,364,239,142,230,938,605,970,326,707,891,168,812,059,352,899,238,
392,373,866,075,880,126,847,770,403,590,371,795,734,498,076,061,008,700,675,
995,003,130,997,673,647,121,344,715,160,472,633,138,550,896,971,361,355,293,
349,405,528,761,256,267,182,508,400,223,482,919,026,971,537,855,938,339,833,
380,430,447,311,015,335,072,490,774,189,567,957,029,260,923,105,219,329,673,
523,036,937,328,679,557,912,635,382,387,423,167,126,101,777,710,106,359,292,
773,813,929,754,195,621,337,899,789,885,489,636,912,420,203,961,056,954,885,
934,859,781,540,899,606,292,139,893,927,153,032,751,893,027,865,641,911,459,
786,682,893,885,834,629,086,899,599,107,138,025,640,395,636,745,954,270,012,
313,685,157,222,736,714,873,910,126,366,636,301,546,083,331,264,623,569,630,
961,863,624,653,587,390,963,377,018,469,278,907,834,101,562,735,452,648,409,
245,275,750,066,829,812,475,984,089,521,247,646,235,484,549,483,990,521,894,
084,698,206,026,180,283,832,487,984,637,143,886,200,136,299,505,907,912,064,
633,883,995,969,145,927,406,858,563,085,835,636,897,696,071,844,811,034,923,
667,321,057,334,579,823,684,111,034,904,526,422,374,257,953,127,692,099,446,
863,923,247,180,887,064,264,018,422,715,599,942,869,091,278,525,943,662,030,
458,374,857,795,497,842,544,037,748,596,391,321,301,531,254,276,443,618,195,
525,574,859,549,505,012,463,028,710,221,129,938,678,279,726,549,760,638,259,
035,703,537,937,617,355,722,463,337,005,105,650,463,518,173,734,145,318,248,
790,147,587,433,049,570,791,829,747,770,424,512,158,142,134,969,850,652,618,
625,269,087,028,239,811,316,729,523,822,086,865,245,433,105,082,097,504,317,
884,409,506,876,717,650,611,229,436,933,955,608,268,971,383,883,689,498,010,
636,169,582,007,844,463,752,999,671,368,032,482,551,103,960,188,535,600,439,
860,344,655,009,124,037,250,996,174,882,723,307,069,833,289,718,413,851,865,
605,074,989,729,229,438,303,455,227,896,400,180,236,746,128,730,889,234,919,
804,654,558,078,973,793,398,843,806,766,792,957,984,413,245,842,039,555,660,
845,706,053,782,188,131,224,839,945,105,569,945,017,728,804,965,487,679,721,
338,992,519,656,937,210,374,414,623,404,321,172,696,502,825,374,222,189,949,
721,163,484,189,189,044,818,423,492,051,914,576,113,669,179,216,951,923,408,
555,235,186,072,378,989,510,169,428,978,172,983,758,368,229,566,009,181,078,
179,941,682,086,531,871,505,965,195,514,810,413,103,939,975,448,648,930,570,
171,363,436,692,321,443,223,572,369,903,870,747,360,641,967,483,586,552,297,
294,032,019,889,634,083,109,632,436,850,554,626,157,306,766,671,390,760,474,
247,142,501,406,527,572,196,418,693,361,096,773,785,283,929,949,445,381,462,
298,647,641,306,645,138,375,751,861,272,456,855,211,781,108,867,418,321,782,
181,540,907,161,887,491,513,498,225,211,051,644,596,699,861,199,728,300,307,
520,219,431,577,756,092,690,644,600,382,880,224,391,416,323,565,794,208,519,
611,560,364,469,094,593,568,831,792,808,627,481,104,738,786,176,695,380,104,
177,673,411,507,542,961,850,877,153,226,052,510,088,680,787,253,142,024,375,
529,996,718,311,275,240,053,033,617,425,541,978,938,724,047,302,545,540,640,
057,841,885,497,147,776,735,742,885,300,436,757,148,335,575,426,831,561,031,
265,192,029,724,997,078,954,496,374,576,112,028,288,807,677,499,632,559,728,
008,548,953,219,398,172,728,879,645,472,031,822,510,616,827,957,841,593,774,
762,298,386,075,942,897,552,300,018,355,557,320,558,634,335,496,196,476,880,
647,388,171,590,764,013,158,132,716,647,388,699,388,619,023,297,030,873,610,
920,555,817,446,327,813,381,590,009,780,859,756,514,210,544,457,421,152,397,
209,100,097,106,533,493,275,592,025,577,796,559,617,545,219,548,651,219,301,
847,008,121,952,441,248,188,824,682,038,792,720,094,335,266,477,985,058,675,
460,513,605,179,230,353,341,294,112,495,783,873,830,775,645,249,503,583,654,
956,789,766,986,556,013,683,463,422,984,816,715,678,589,240,879,263,553,564,
740,783,514,475,960,250,454,110,050,256,054,499,326,887,301,795,034,279,145,
490,691,181,491,283,186,209,900,080,755,067,545,656,499,564,894,579,401,923,
297,110,291,973,687,936,521,697,316,903,943,443,248,843,462,473,418,675,638,
426,443,437,871,397,332,601,448,029,429,923,799,341,508,396,937,036,581,514,
882,080,689,664,709,211,622,754,983,067,740,962,512,279,750,696,893,167,248,
886,516,049,067,636,529,108,129,629,771,019,019,181,330,054,345,145,690,251,
509,200,424,160,384,679,097,534,117,823,312,297,264,949,796,317,079,321,302,
671,614,975,169,619,943,792,218,601,096,810,715,135,114,847,287,808,813,643,
033,525,940,114,826,294,196,952,379,883,693,364,015,667,213,109,932,694,747,
099,155,838,719,697,231,125,457,768,589,660,275,335,597,454,494,344,294,599,
807,704,040,927,581,059,179,458,935,940,766,739,956,535,240,882,639,195,281,
527,166,287,651,397,942,073,157,366,801,417,290,093,410,517,376,333,601,460,
305,477,787,481,359,884,875,526,270,300,887,628,152,519,133,137,705,568,545,
679,069,064,917,365,319,649,440,483,373,569,187,380,183,937,076,148,646,694,
663,940,595,093,872,662,755,746,616,494,949,273,842,520,759,381,958,567,847,
780,691,852,418,141,809,791,643,562,667,018,082,876,133,225,962,345,109,932,
087,162,467,690,176,979,768,429,529,397,788,980,261,127,575,488,849,514,871,
999,947,922,864,555,580,339,341,447,740,166,910,459,292,989,826,546,081,074,
797,293,706,683,144,891,728,399,541,102,751,730,184,022,324,347,493,214,168,
602,463,633,361,193,607,170,307,956,830,869,626,503,232,304,791,598,617,505,
645,449,859,355,035,779,273,207,743,252,215,375,131,480,616,233,646,619,797,
232,811,192,295,489,784,066,611,225,782,380,780,383,360,994,573,970,447,338,
096,136,703,169,502,585,431,244,805,565,366,583,038,584,431,980,777,785,339,
608,594,001,915,208,554,864,266,609,547,987,783,648,854,358,459,580,047,556,
451,154,333,356,073,553,459,341,200,635,763,719,944,302,597,206,467,363,834,
377,858,667,209,359,591,929,653,509,951,918,788,415,453,130,605,246,538,652,
178,888,931,863,979,226,055,770,544,765,134,673,197,442,119,884,649,138,717,
617,168,755,907,006,508,529,886,271,789,813,455,537,822,588,083,846,278,831,
167,494,930,466,130,682,012,647,776,118,470,943,353,729,385,605,740,648,574,
316,047,069,211,813,136,729,845,623,797,147,857,673,653,325,798,180,045,199,
140,836,721,796,400,733,568,526,607,571,130,606,062,881,238,333,396,617,069,
930,887,380,622,240,300,563,485,657,106,590,765,840,298,585,410,772,968,025,
408,453,103,569,554,839,480,320,875,036,346,844,100,571,590,145,991,613,885,
815,934,907,509,209,660,113,166,537,408,031,869,287,728,203,562,166,760,109,
115,757,597,857,806,325,253,207,238,664,928,629,468,937,302,738,591,101,235,
710,366,080,572,372,444,877,480,500,086,883,027,260,660,512,145,548,626,522,
808,537,289,686,098,597,445,159,491,511,051,390,285,725,044,263,350,053,286,
746,758,970,171,059,902,827,585,171,045,161,194,733,873,356,877,620,680,891,
723,678,841,403,421,127,833,988,966,031,408,799,248,980,748,632,624,601,861,
534,229,005,924,272,196,202,522,844,942,227,610,117,678,771,051,125,892,873,
181,958,327,866,179,652,101,292,145,402,859,362,074,229,819,857,880,066,230,
136,345,032,133,523,204,583,900,934,093,496,672,089,046,609,289,171,793,661,
842,567,954,563,933,402,706,195,608,872,601,577,209,359,376,649,519,334,968,
871,562,170,401,637,001,424,558,554,165,934,848,260,829,381,822,743,407,687,
311,103,931,078,047,020,933,791,582,397,752,025,150,418,573,346,048,417,345,
317,416,693,452,977,279,755,005,896,692,945,863,364,606,356,326,879,242,043,
698,608,012,849,743,650,902,856,209,665,080,570,268,805,719,644,207,958,214,
674,879,760,444,623,879,253,812,851,825,654,285,621,130,235,126,211,777,656,
430,726,048,650,255,017,913,973,585,276,953,576,375,180,919,694,324,547,795,
782,418,285,425,908,040,046,619,053,768,560,713,737,165,512,773,955,926,810,
378,413,825,930,395,426,067,769,446,627,808,485,012,937,300,031,032,537,388,
287,275,057,883,517,394,835,674,861,158,086,253,980,529,582,296,573,811,970,
514,247,193,427,315,265,232,455,360,773,374,859,383,288,182,617,620,633,445,
098,783,591,396,399,295,642,886,294,099,104,226,429,070,577,150,562,131,827,
232,508,516,842,950,953,559,439,003,876,325,418,235,295,603,652,589,055,185,
629,888,137,319,234,267,357,613,073,900,899,037,084,192,749,724,218,089,390,
636,915,452,613,691,503,459,789,849,709,684,923,585,250,920,271,559,326,109,
095,542,499,943,758,953,376,783,768,226,735,664,224,144,265,082,337,137,464,
555,197,388,190,029,816,593,967,779,432,836,592,349,547,175,694,073,940,716,
700,802,634,070,737,311,568,134,580,707,710,697,292,119,568,590,683,192,919,
417,965,620,422,340,412,276,280,907,171,023,223,953,589,277,682,563,460,550,
092,008,601,391,253,948,499,536,279,438,837,262,568,339,205,364,040,053,028,
245,889,038,047,144,716,914,000,373,415,239,704,410,333,465,946,983,175,598,
382,442,861,830,982,034,336,366,825,183,728,488,826,881,858,052,502,616,934,
729,685,290,713,733,852,263,303,885,883,155,206,245,672,269,023,876,704,464,
077,186,176,054,469,303,603,009,301,647,012,936,399,094,218,145,341,763,846,
832,990,141,188,228,933,616,616,345,662,485,156,106,696,653,024,839,373,228,
712,465,049,496,926,877,339,301,413,841,535,100,628,190,370,428,793,603,246,
301,254,676,519,300,701,916,184,251,022,539,633,512,375,798,691,378,051,730,
693,083,620,356,702,500,738,760,225,408,008,968,051,334,260,207,506,760,374,
256,179,795,593,887,073,017,905,828,920,174,544,306,999,105,442,775,396,689,
340,104,458,312,186,369,153,035,729,362,254,900,393,140,259,168,277,557,960,
781,911,859,102,461,371,019,093,151,257,645,643,270,281,348,754,511,149,409,
525,861,723,479,590,570,972,431,105,425,749,361,179,736,832,964,343,000,676,
885,652,654,992,299,919,536,306,357,254,336,682,696,308,729,844,410,211,980,
408,204,971,831,564,972,877,981,639,194,332,660,770,390,565,688,510,990,186,
796,435,936,357,007,685,472,629,746,727,199,479,100,049,830,453,421,254,865,
595,526,140,527,276,885,550,006,952,588,287,677,151,833,314,595,143,191,754,
744,204,438,624,082,629,249,488,745,754,679,292,180,018,961,355,639,106,755,
214,293,057,742,904,605,609,129,891,551,791,124,027,584,942,475,307,687,451,
755,067,349,405,947,780,692,541,531,763,480,847,842,382,945,439,026,180,863,
399,306,583,864,303,569,107,844,039,229,467,082,737,480,803,728,904,085,979,
260,245,288,357,693,878,215,089,952,823,317,892,302,317,751,805,278,697,042,
546,939,323,627,285,444,928,409,979,089,391,126,036,094,965,431,640,443,196,
299,014,347,242,909,272,340,364,073,453,801,704,142,635,178,286,048,445,504,
990,322,637,205,816,067,619,022,398,485,553,138,741,073,026,322,403,953,325,
753,359,568,860,511,245,277,117,704,056,539,458,623,228,107,757,577,145,379,
756,617,204,963,790,112,152,839,475,317,893,504,339,429,621,959,007,468,679,
967,384,517,998,705,390,836,630,256,360,659,322,407,049,883,045,763,447,394,
217,541,921,551,981,813,419,035,532,168,906,327,367,293,552,806,853,071,909,
690,629,030,148,088,265,326,519,248,601,491,680,284,253,810,482,065,758,037,
801,719,092,205,342,745,437,218,245,558,873,240,220,619,738,190,879,058,300,
265,870,430,701,175,357,851,517,580,458,163,604,121,150,739,250,708,958,826,
283,240,907,410,108,207,865,091,824,784,026,838,366,220,698,846,794,823,372,
287,671,736,827,974,865,006,470,288,913,054,417,757,267,131,872,824,574,253,
372,128,240,378,666,043,865,772,092,264,794,789,389,989,861,200,617,775,617,
352,783,913,350,338,292,204,291,776,653,772,764,993,565,542,391,628,938,250,
829,732,702,706,583,346,512,111,134,208,398,689,345,226,555,955,868,653,835,
475,805,207,359,821,774,816,767,046,232,943,708,611,536,077,106,532,656,669,
054,594,376,938,574,119,318,927,245,119,943,194,034,312,661,959,714,923,023,
872,097,234,317,276,858,486,037,120,042,388,758,520,015,949,705,960,973,059,
314,340,050,525,444,870,385,466,160,712,248,399,666,762,401,947,832,528,218,
327,816,853,409,950,667,092,060,088,496,397,082,547,001,923,877,753,535,370,
035,347,701,843,442,842,259,114,685,369,307,082,419,879,145,248,703,117,114,
743,545,328,609,811,402,500,033,305,892,769,835,373,408,676,099,257,948,418,
723,380,617,631,899,043,539,558,990,640,097,345,034,353,821,398,377,125,222,
495,256,439,564,622,298,653,116,905,262,692,616,594,805,367,562,951,825,559,
723,377,035,137,266,453,321,449,430,372,084,108,736,637,406,895,064,191,163,
822,233,878,376,712,673,004,969,936,992,389,722,239,527,934,851,931,555,252,
269,422,936,334,000,819,326,325,354,849,777,502,667,981,599,205,678,851,043,
564,892,420,119,369,975,021,427,618,592,536,249,409,726,993,057,709,155,229,
098,811,483,201,056,329,025,489,472,394,849,272,977,130,216,375,513,000,180,
177,147,908,286,456,628,001,273,179,974,045,090,677,808,351,779,024,751,551,
633,946,452,907,135,938,892,653,129,736,338,182,791,886,580,311,772,342,172,
715,185,751,079,669,804,608,587,557,392,417,551,828,886,663,216,162,158,437,
037,484,833,539,951,115,359,784,543,711,707,347,331,701,877,056,184,164,646,
790,908,044,860,433,011,718,232,069,579,309,711,042,244,246,523,108,774,427,
210,830,727,279,193,719,282,646,045,330,382,209,152,621,280,680,248,133,392,
117,461,657,702,265,271,784,313,375,298,329,511,556,683,993,148,973,658,415,
571,587,152,962,605,862,809,093,209,401,039,079,753,214,580,795,798,521,559,
478,936,274,805,326,731,528,795,103,498,101,517,061,395,738,586,804,493,955,
140,157,566,744,782,077,858,971,951,134,372,543,390,774,982,309,221,904,352,
260,451,671,924,707,601,200,175,519,905,294,382,886,182,134,270,870,061,222,
136,637,916,691,624,722,114,456,467,683,787,598,298,283,232,618,646,599,723,
939,043,392,257,651,016,272,223,156,385,086,036,426,035,502,128,255,210,731,
266,760,901,162,168,498,084,895,500,307,671,462,887,527,142,008,666,744,931,
011,910,634,385,768,544,222,164,898,927,489,814,851,441,513,640,510,865,951,
240,176,362,787,328,517,264,416,918,910,778,312,886,833,765,532,941,534,214,
305,109,639,634,229,493,950,616,137,763,711,806,348,145,751,342,083,553,519,
296,950,403,509,594,191,448,549,576,979,437,663,132,052,319,065,578,431,338,
703,713,182,577,300,337,842,570,598,555,806,384,990,436,327,097,634,475,851,
022,299,079,720,078,841,554,661,839,785,713,761,711,845,036,013,680,607,391,
615,641,386,204,666,592,420,756,688,905,850,712,830,243,031,996,946,538,860,
065,978,690,284,676,394,953,365,537,154,700,887,666,566,908,436,153,735,667,
818,441,493,144,709,036,478,924,433,168,772,107,413,946,634,141,971,610,468,
157,205,125,520,696,148,029,103,401,749,481,577,021,047,197,680,238,910,305,
802,283,680,995,458,826,814,613,302,732,137,362,882,583,606,606,263,150,615,
074,392,933,650,695,412,693,813,913,198,947,847,398,938,582,666,768,493,929,
033,495,288,285,160,134,343,958,663,276,345,590,436,105,354,001,127,723,367,
205,250,322,336,928,503,314,025,313,552,804,367,749,575,658,580,554,484,561,
941,665,733,950,165,224,301,292,850,250,476,824,441,654,910,890,973,924,427,
476,287,971,335,595,494,829,346,690,709,837,670,612,253,589,993,969,290,793,
522,120,728,004,309,716,389,836,515,136,337,214,554,072,302,441,012,385,134,
177,168,230,726,829,020,087,283,705,023,236,342,690,410,684,614,505,004,135,
074,702,420,961,442,268,794,369,816,698,928,024,384,314,453,359,671,614,413,
871,288,705,556,760,107,195,265,607,166,841,114,827,062,288,889,125,386,739,
675,633,241,393,173,713,021,068,031,545,175,713,001,105,277,977,785,696,210,
341,576,435,175,672,245,968,578,456,309,699,082,066,780,290,328,210,131,988,
325,921,897,623,818,491,562,433,059,522,042,890,721,216,633,137,694,855,991,
013,496,483,511,490,316,906,225,204,543,778,948,838,557,554,496,378,653,885,
521,265,014,147,932,524,958,540,668,137,245,000,642,935,641,721,700,047,428,
691,410,584,119,009,803,001,499,616,006,896,803,534,491,589,933,806,874,110,
671,872,862,519,492,367,856,406,569,274,466,303,914,114,654,532,758,399,990,
984,072,077,966,582,419,465,435,256,036,282,279,206,343,710,587,307,882,575,
359,516,155,666,463,449,279,211,283,277,224,883,202,081,105,081,461,328,690,
839,913,992,410,677,048,027,784,125,357,555,647,394,766,755,274,351,367,610,
842,779,739,525,226,570,298,069,624,820,345,939,957,470,763,731,449,798,112,
458,010,851,594,863,395,233,825,889,209,611,785,789,937,175,445,222,898,576,
573,804,632,174,237,596,974,987,454,176,515,777,728,470,436,381,725,633,300,
221,630,238,741,013,751,579,395,335,349,670,214,481,411,865,898,621,014,903,
255,351,916,381,940,169,422,161,132,633,050,560,356,053,325,487,142,793,510,
763,741,526,365,056,297,329,085,809,897,106,983,825,196,376,479,227,898,372,
314,647,601,660,629,710,844,876,720,260,673,391,237,216,520,491,697,592,433,
799,074,231,150,552,498,996,286,207,202,232,994,893,675,932,113,879,438,905,
133,354,557,867,037,967,737,236,675,926,062,635,177,582,598,556,545,526,295,
564,793,886,553,231,734,031,506,494,826,914,110,840,390,199,681,077,359,871,
992,177,436,576,487,065,795,882,132,408,587,049,544,222,631,544,535,491,155,
234,246,999,066,644,462,723,964,314,814,833,607,370,573,636,630,565,888,007,
695,364,624,615,989,178,028,253,949,538,911,077,658,049,000,639,849,470,958,
879,186,738,625,171,550,994,990,854,359,026,449,527,619,693,175,443,287,897,
384,451,274,514,967,237,335,854,678,024,050,089,800,254,972,041,814,869,172,
355,153,385,950,591,360,754,617,719,860,645,002,805,547,966,217,466,688,156,
541,259,031,533,509,549,219,982,108,657,094,214,696,229,396,072,952,886,555,
233,149,048,052,503,373,487,270,127,024,295,146,093,104,277,950,311,516,617,
048,625,387,191,366,386,291,298,421,056,012,452,968,475,457,321,324,960,601,
744,240,029,518,309,722,407,363,523,990,486,920,023,143,629,680,492,578,113,
031,091,124,373,066,232,883,571,356,752,068,448,934,565,694,294,145,365,213,
751,498,964,072,095,528,242,629,941,308,549,621,533,228,053,422,939,660,023,
247,750,369,217,606,012,342,607,013,695,583,100,834,714,861,327,053,196,219,
039,282,645,265,843,033,213,236,148,288,212,124,189,194,628,920,611,803,265,
164,572,458,255,148,860,055,243,094,840,809,375,341,083,602,353,628,228,618,
976,825,023,613,292,734,217,774,008,744,385,340,528,923,834,673,806,307,217,
731,150,333,711,989,016,347,673,224,980,974,925,583,987,840,338,084,750,757,
414,979,765,592,619,721,364,166,586,940,324,508,171,293,001,941,536,113,159,
465,306,510,552,151,340,140,473,652,783,923,942,751,899,265,966,001,983,526,
598,461,093,180,685,072,351,779,765,957,996,517,023,895,596,016,946,359,943,
985,652,365,303,888,092,341,512,452,347,525,680,438,760,732,320,105,530,023,
487,008,977,188,497,091,587,956,885,101,603,665,192,941,730,616,333,133,661,
476,308,235,937,194,451,276,418,549,120,432,859,122,690,265,411,912,986,114,
700,625,233,484,149,815,531,609,527,789,398,349,480,956,754,862,515,402,518,
153,966,097,967,546,203,376,767,762,818,758,360,108,441,773,378,966,885,497,
590,360,969,758,683,507,322,115,432,185,729,388,695,155,863,209,630,252,781,
756,938,645,606,112,390,708,526,473,044,649,832,486,852,153,601,844,306,067,
652,155,912,254,549,746,133,517,757,511,812,152,640,707,663,326,969,006,454,
441,109,466,721,022,848,256,977,381,720,655,649,400,968,361,319,392,413,889,
114,683,794,794,033,592,958,106,572,834,907,174,620,440,511,476,911,721,164,
855,423,980,678,044,241,211,451,981,909,325,726,680,026,098,897,720,339,412,
443,431,993,226,554,757,786,307,453,858,895,494,986,078,404,697,011,178,812,
981,726,570,103,721,915,652,646,010,257,828,856,324,600,791,760,029,051,860,
984,047,009,250,553,055,129,035,571,698,796,085,042,850,413,539,160,821,379,
674,762,906,480,427,565,851,180,465,735,705,955,662,546,545,900,364,631,109,
417,460,896,349,654,047,432,473,204,976,556,024,448,148,886,723,474,575,014,
307,657,927,158,767,929,616,951,384,322,889,116,212,118,644,497,709,081,757,
338,552,276,885,514,086,826,037,433,599,884,120,551,400,395,575,178,293,571,
324,196,483,746,070,011,776,357,801,368,409,321,591,652,644,051,358,713,602,
658,091,027,883,309,052,967,441,453,968,469,103,186,535,384,248,854,063,733,
747,506,386,200,352,581,374,592,872,461,595,850,421,706,042,390,707,158,960,
708,979,293,019,675,573,142,045,023,389,553,805,336,546,664,300,507,383,767,
576,948,080,778,283,380,649,344,268,571,469,623,551,772,783,847,220,667,324,
669,071,502,256,163,338,921,843,507,636,597,705,473,004,043,622,318,725,784,
874,036,090,001,614,413,288,977,572,433,831,373,083,419,296,639,388,219,518,
883,614,442,705,613,159,773,756,694,234,803,268,403,734,475,528,037,245,780,
359,769,509,766,321,354,621,671,260,205,446,350,504,503,037,447,952,999,601,
664,153,548,228,046,087,534,091,958,595,806,914,888,609,055,765,452,268,521,
630,594,508,739,011,570,669,760,223,462,378,891,426,616,934,582,116,538,198,
740,745,414,119,699,264,531,286,871,531,819,611,286,283,586,532,466,605,532,
178,193,379,090,510,240,208,397,557,467,029,732,449,817,733,376,570,816,894,
498,962,564,600,567,332,808,575,089,846,105,561,723,182,365,710,150,853,654,
905,572,712,737,803,806,601,233,168,374,663,551,113,599,449,870,540,040,058,
382,194,143,883,490,085,219,862,045,964,706,820,226,571,366,431,313,575,184,
503,583,422,669,562,711,216,881,628,130,891,966,378,976,176,677,241,410,309,
440,962,890,458,653,747,363,591,047,425,101,747,354,897,623,030,070,304,919,
794,659,426,597,188,004,086,437,020,512,180,758,431,621,150,218,585,927,927,
716,228,056,211,700,144,126,738,396,747,969,041,021,821,936,920,434,780,146,
912,589,114,833,270,096,556,532,649,709,206,081,121,966,089,596,572,110,743,
184,073,645,943,684,139,195,357,005,277,640,988,421,653,887,219,315,498,743,
196,418,076,804,930,759,809,257,807,750,826,138,593,824,348,154,285,640,248,
393,470,479,988,883,374,929,045,580,826,918,328,909,083,695,152,190,876,475,
490,869,808,550,122,893,898,936,711,504,439,395,486,572,332,170,347,455,289,
105,687,006,872,052,848,514,797,409,888,182,746,267,692,317,827,778,707,234,
756,385,765,295,654,753,065,012,318,179,465,328,408,820,012,262,382,701,066,
271,765,512,380,829,509,840,170,667,268,906,771,935,935,786,362,549,346,699,
120,242,989,401,491,575,918,418,279,862,250,297,451,553,207,749,588,219,281,
717,404,211,352,910,960,180,570,986,596,693,697,469,963,099,163,871,787,686,
091,803,246,156,888,659,984,987,513,460,678,332,023,799,169,762,937,157,027,
686,879,910,620,954,738,707,025,058,418,594,845,703,030,486,808,096,303,652,
790,657,495,628,854,734,867,577,861,328,813,074,600,003,802,476,671,611,070,
641,493,799,395,643,059,950,244,188,275,819,811,176,958,751,957,029,191,690,
833,373,923,803,404,122,897,044,744,691,475,353,467,973,013,711,541,415,074,
960,479,911,431,769,143,547,139,654,999,159,583,063,989,788,099,923,417,470,
664,266,677,048,013,528,636,725,812,176,885,898,554,555,801,605,484,902,125,
173,183,009,652,520,476,393,216,144,818,563,763,925,880,011,163,752,259,646,
376,331,231,677,501,102,085,693,114,035,745,479,552,047,633,426,921,385,319,
279,748,045,080,805,590,029,191,329,629,647,381,721,582,784,982,197,237,559,
276,597,551,903,049,730,101,319,051,056,384,353,560,832,884,066,093,712,525,
581,275,747,556,996,815,088,590,257,881,071,383,597,761,411,103,488,783,589,
283,232,785,713,336,968,514,231,456,876,041,879,972,809,719,654,058,109,427,
783,994,287,616,824,539,933,371,510,630,746,206,039,344,813,896,501,678,048,
250,098,696,840,877,592,816,202,802,552,718,107,340,963,190,263,268,456,959,
221,728,647,072,760,273,623,642,586,421,178,559,262,885,248,714,794,929,983,
062,395,918,927,465,979,901,424,854,973,177,863,216,849,636,619,358,595,828,
486,869,219,866,431,921,245,486,927,714,918,135,708,252,123,885,335,238,417,
251,756,065,140,686,296,186,102,584,355,870,495,488,011,183,299,385,533,356,
725,400,847,939,209,260,211,867,573,253,289,881,985,567,111,998,853,715,411,
245,857,381,301,007,115,019,164,493,987,507,504,577,497,670,316,083,234,410,
561,868,303,109,856,472,995,840,566,486,938,592,227,794,872,352,904,181,248,
727,257,906,752,741,624,817,254,231,180,766,959,860,093,565,618,407,340,136,
140,663,927,755,601,499,032,133,736,655,765,339,690,774,986,847,280,440,132,
340,248,678,600,672,563,054,167,871,488,557,200,522,887,700,499,177,027,130,
165,896,831,308,240,059,165,654,430,073,854,704,947,233,823,029,353,648,035,
762,511,714,656,914,329,923,118,163,683,140,976,349,816,823,342,984,796,478,
026,472,598,632,351,541,150,177,329,776,984,915,066,568,744,840,283,035,000,
455,238,520,058,208,146,004,729,060,738,133,932,880,576,224,617,561,389,438,
424,122,520,704,235,287,267,039,849,640,537,254,966,727,736,844,507,944,841,
594,553,875,597,617,669,358,900,185,003,103,617,140,703,053,213,253,241,438,
985,026,341,587,935,146,985,630,750,485,123,547,299,231,897,728,839,071,383,
402,353,967,006,279,855,364,587,718,203,883,291,707,395,046,220,468,492,501,
870,241,441,648,617,556,820,284,068,681,333,715,021,369,846,740,126,279,084,
188,306,104,958,697,968,166,159,676,063,544,489,556,783,302,090,254,185,676,
727,452,543,737,067,697,052,447,229,142,826,802,686,581,378,283,025,871,879,
743,086,490,777,505,753,436,213,257,860,100,536,368,696,211,293,516,403,082,
832,827,997,064,963,854,740,970,450,018,694,384,750,645,615,152,195,907,621,
994,063,304,473,339,524,811,775,245,809,063,308,636,479,280,572,402,812,551,
401,196,516,282,849,378,265,465,166,663,726,956,949,131,767,217,689,486,212,
743,415,066,516,366,356,173,914,562,829,455,411,615,472,664,591,568,877,281,
144,517,091,066,485,943,751,471,052,233,187,854,265,453,936,871,408,969,375,
185,371,114,145,812,299,451,039,608,286,609,467,674,093,655,115,230,727,324,
910,226,335,484,975,089,662,853,520,641,997,448,707,317,364,507,244,210,801,
271,296,833,680,997,840,318,050,356,273,934,772,979,684,265,252,961,180,937,
382,776,501,373,655,489,400,036,919,920,776,190,051,825,921,208,428,683,333,
642,072,531,041,500,496,623,702,835,070,224,355,244,996,641,536,657,076,389,
609,169,692,192,403,240,584,630,511,592,587,745,138,036,574,124,264,694,984,
054,171,721,770,052,330,650,670,448,124,853,466,661,176,631,069,419,813,267,
687,196,242,700,739,749,455,733,042,366,173,473,247,286,707,398,380,516,958,
056,282,158,643,596,116,047,545,417,020,481,638,459,502,791,744,387,090,299,
435,211,854,487,043,973,034,208,489,484,248,562,068,485,292,723,872,417,950,
989,900,373,473,141,499,408,111,161,503,804,985,395,233,543,164,698,725,601,
273,533,420,538,241,855,242,951,424,905,420,031,604,041,182,800,574,414,199,
349,862,198,050,418,249,732,097,055,307,800,783,695,587,956,496,316,971,512,
182,844,101,169,115,888,228,342,566,583,659,453,340,904,343,862,592,805,539,
765,237,257,328,953,844,067,533,725,953,393,655,423,294,895,868,867,429,633,
475,965,986,142,996,040,124,290,012,157,815,479,964,336,793,731,470,445,087,
993,954,624,461,198,668,133,008,791,451,154,750,706,304,938,552,294,733,183,
830,313,784,711,832,726,915,146,958,838,121,652,349,873,197,448,980,357,196,
208,628,321,573,736,744,690,245,519,734,818,133,302,618,361,035,706,829,599,
937,313,504,718,024,167,389,789,793,419,387,466,754,452,389,001,639,575,842,
469,873,521,679,152,108,262,474,798,724,359,683,642,843,366,930,276,808,544,
881,283,410,648,289,706,212,306,422,065,914,832,826,916,882,406,911,706,316,
086,788,132,248,037,107,448,222,163,627,325,106,725,102,768,249,845,829,791,
018,523,380,307,712,482,336,070,098,656,338,397,224,557,551,583,344,928,895,
645,363,548,978,729,294,325,132,260,301,055,437,781,603,025,056,051,171,239,
674,307,034,380,500,549,428,580,256,840,834,661,767,750,265,493,843,105,544,
617,163,696,484,629,264,989,075,535,010,631,435,693,166,806,591,484,875,262,
605,916,188,711,439,062,196,495,954,042,481,901,264,670,961,555,819,582,394,
115,009,233,641,520,468,556,844,432,632,988,860,207,565,954,079,783,903,379,
695,658,357,419,879,161,769,831,332,510,815,037,951,716,632,354,957,652,312,
904,089,514,920,030,748,816,559,357,181,298,782,845,874,368,560,211,026,586,
534,178,961,688,654,174,147,711,737,348,228,393,251,900,613,844,485,815,130,
454,507,644,208,190,103,103,561,765,570,636,468,170,018,698,883,700,365,018,
719,461,623,758,896,258,212,613,726,261,557,314,683,744,523,051,137,996,979,
824,988,907,397,264,005,495,768,683,282,502,126,520,062,467,167,980,971,226,
219,722,255,194,023,643,943,516,277,166,863,658,627,266,402,903,291,167,947,
114,580,765,772,269,611,752,306,296,445,676,053,492,217,455,932,710,940,987,
832,988,708,806,800,535,121,536,560,077,102,256,816,215,606,094,779,208,566,
423,890,259,131,545,251,948,611,032,155,401,999,201,851,008,295,032,279,966,
817,838,836,516,752,171,536,758,091,603,621,828,412,293,999,064,596,078,576,
456,418,975,547,621,232,716,994,858,254,432,167,689,385,065,478,474,598,303,
856,734,120,119,506,357,972,720,570,991,291,530,449,240,387,584,377,924,927,
744,405,179,116,924,244,775,868,129,663,216,886,037,214,801,629,122,772,048,
794,903,618,575,819,547,167,726,366,315,131,771,465,206,682,774,983,621,194,
126,050,354,525,132,839,670,830,558,594,369,109,105,481,961,507,177,982,578,
210,090,945,740,687,025,464,748,175,201,898,498,330,334,185,330,544,343,356,
985,770,644,393,391,953,070,008,709,574,068,308,084,173,316,165,987,759,074,
492,512,051,947,824,315,119,179,589,243,689,143,964,112,954,548,843,907,177,
356,471,734,619,210,744,621,282,668,454,514,973,757,155,974,875,546,864,709,
928,096,067,345,120,358,490,917,544,992,267,656,114,959,050,013,504,939,196,
845,688,993,586,669,350,673,007,409,506,779,967,390,536,955,993,333,342,700,
649,677,688,816,119,772,682,461,426,505,349,176,255,316,370,701,593,056,414,
835,064,669,415,053,588,342,777,515,706,478,376,783,199,662,502,686,885,305,
625,893,441,420,524,496,521,144,307,858,827,628,022,884,006,340,359,075,679,
329,917,617,016,423,166,675,246,612,381,226,573,223,375,331,957,583,017,639,
739,286,904,445,509,639,971,009,818,547,137,274,323,453,317,617,702,699,452,
243,670,969,475,598,848,366,426,120,159,491,284,014,515,104,333,311,477,610,
676,364,233,033,966,302,947,165,494,279,507,094,224,423,808,926,672,406,341,
102,807,731,726,550,453,145,646,651,458,402,828,660,253,372,279,396,551,617,
585,050,072,340,443,672,371,229,577,973,787,999,317,738,738,147,052,408,470,
552,427,787,274,635,905,867,824,013,011,469,270,752,703,600,884,365,516,118,
357,748,316,005,367,427,800,111,921,610,477,833,616,964,902,878,971,122,824,
226,595,271,207,732,242,782,870,039,200,450,331,263,017,333,362,160,490,195,
347,286,144,017,912,696,782,868,638,943,672,437,435,431,164,502,055,843,757,
545,607,918,238,311,184,448,784,090,559,461,630,437,039,945,382,192,032,256,
073,953,908,391,677,727,818,219,052,235,477,988,756,178,990,427,017,694,604,
597,522,155,199,379,727,771,576,331,710,651,308,538,622,454,379,556,517,994,
796,711,681,415,403,492,801,116,768,845,035,242,566,675,151,047,269,162,217,
913,369,847,742,168,574,592,298,568,245,398,157,425,935,237,029,309,552,743,
923,762,739,892,692,273,450,231,510,115,503,573,200,004,290,215,595,058,952,
530,077,044,828,859,708,628,379,511,918,294,631,819,032,010,176,639,443,066,
561,645,317,314,602,018,899,801,757,844,586,909,357,607,171,964,953,710,351,
999,631,298,994,955,055,795,829,616,326,031,714,453,641,066,954,808,730,540,
720,480,348,117,339,276,671,565,496,844,542,816,732,080,712,602,995,291,482,
481,662,106,573,201,701,289,086,454,009,290,971,241,767,624,573,207,001,234,
317,020,786,362,630,216,051,215,983,193,421,058,475,515,189,536,840,871,915,
508,348,952,372,068,691,496,130,191,235,885,909,423,290,168,377,598,168,623,
958,047,623,519,844,909,952,809,250,312,987,645,143,516,977,237,725,573,718,
540,791,800,030,047,839,206,927,219,974,781,759,780,603,855,298,390,611,001,
594,980,443,195,943,623,638,909,218,349,733,874,597,914,545,542,603,434,049,
403,242,954,555,885,071,786,930,492,552,702,457,151,656,756,373,141,517,898,
910,034,011,277,609,924,622,848,967,571,586,407,025,216,772,837,247,528,527,
945,955,855,119,591,455,909,956,706,611,782,175,522,285,098,047,411,177,792,
671,229,965,870,942,355,991,326,294,678,024,452,994,106,268,503,196,468,408,
601,978,560,686,355,808,891,547,815,515,858,316,321,989,482,180,249,681,566,
403,949,534,679,838,742,823,255,064,384,548,146,326,427,415,375,337,181,021,
725,458,827,706,737,533,144,060,862,219,204,583,759,520,593,312,563,437,253,
857,376,464,766,192,009,618,869,082,540,979,012,402,836,432,605,614,073,936,
445,199,097,239,425,004,435,982,732,953,391,724,408,671,948,847,119,941,907,
447,255,579,583,381,342,972,670,759,289,385,223,857,332,063,432,110,403,528,
238,200,046,360,097,163,050,522,570,283,081,710,325,932,365,928,276,504,931,
154,056,878,191,079,073,972,521,613,487,586,547,417,687,741,131,884,434,421,
424,045,032,325,450,150,676,403,171,194,421,633,660,862,129,588,544,374,800,
414,110,875,642,602,529,569,231,821,625,621,994,545,869,998,395,074,413,186,
272,126,857,637,529,907,007,568,239,212,085,057,611,261,169,954,852,268,050,
616,168,076,755,131,032,488,549,846,288,135,915,158,944,460,103,150,741,289,
332,383,398,955,593,811,914,739,967,693,020,077,852,052,376,101,652,251,839,
714,132,418,204,954,027,905,870,098,722,145,684,349,073,402,774,096,056,364,
150,742,965,440,046,364,950,843,513,999,226,565,807,553,007,200,712,463,388,
791,611,887,496,661,119,497,532,045,215,178,659,339,580,530,405,860,345,190,
559,554,038,070,444,530,608,258,742,859,753,523,336,269,178,683,606,954,839,
539,937,015,505,743,229,549,249,523,426,150,968,008,813,292,523,345,746,808,
328,112,251,649,607,092,758,001,155,924,343,467,441,651,178,048,904,559,594,
014,913,420,395,950,170,322,713,964,711,842,755,862,730,614,448,598,703,162,
265,716,124,850,378,424,432,363,361,319,653,216,480,663,698,403,947,005,789,
421,622,074,661,785,411,669,658,381,491,174,907,796,687,504,716,486,496,515,
394,080,515,678,453,370,891,636,121,740,860,970,272,163,659,661,557,681,396,
754,038,604,288,574,954,300,076,812,965,941,565,892,846,678,404,371,595,085,
818,953,118,178,923,453,790,450,104,696,175,088,419,057,188,170,501,677,193,
568,071,680,154,162,220,532,326,924,780,891,007,440,857,395,772,421,575,166,
937,664,711,932,974,894,997,823,283,189,222,094,664,399,761,980,886,116,720,
081,765,672,609,433,781,060,035,950,206,200,571,186,863,165,562,190,472,530,
230,011,666,644,223,053,636,716,159,473,959,676,559,436,135,878,297,352,519,
033,214,770,659,310,944,413,243,166,412,112,075,517,252,032,405,796,889,985,
482,504,492,044,699,818,198,762,713,291,010,923,555,513,613,026,648,749,196,
268,506,522,578,392,711,687,128,972,297,142,654,473,286,141,059,021,227,213,
120,203,947,712,202,528,945,859,795,898,418,659,726,977,607,791,300,463,534,
051,565,283,624,898,949,422,557,516,160,204,182,236,887,761,215,254,716,794,
059,866,110,431,369,774,579,422,111,096,183,633,467,487,392,199,897,710,269,
003,769,531,566,917,695,951,412,967,223,059,855,185,555,645,372,537,708,262,
464,736,176,349,928,372,889,367,802,468,202,331,213,712,273,023,766,992,570,
987,792,609,999,859,983,039,225,234,528,670,874,111,960,091,353,156,539,914,
233,492,316,259,498,533,594,354,529,687,652,010,150,329,287,077,110,046,821,
943,360,664,865,788,775,952,839,410,794,188,795,584,920,536,070,406,377,942,
527,773,363,471,361,001,536,855,447,391,276,065,878,641,684,584,459,519,641,
630,567,346,332,516,148,580,271,315,754,544,737,963,083,290,059,447,881,036,
143,788,715,603,862,391,702,068,700,850,148,724,853,494,573,808,613,264,441,
487,499,147,925,204,388,644,005,079,394,215,765,958,611,292,028,180,441,276,
503,842,920,144,091,271,531,104,116,831,678,563,649,280,220,058,243,905,088,
420,484,441,336,466,179,928,223,564,275,882,700,788,803,511,077,268,369,605,
257,138,391,137,268,861,289,813,534,355,081,652,490,126,058,574,779,864,810,
688,400,085,544,908,156,421,415,447,671,736,853,876,736,710,960,485,802,343,
758,313,068,196,015,604,051,924,757,073,375,537,395,114,835,209,297,696,273,
317,958,778,707,146,444,052,348,207,435,422,832,148,415,201,688,619,562,220,
045,719,304,348,642,059,116,945,395,102,869,014,678,950,645,219,430,670,355,
203,152,715,119,432,337,781,393,747,616,759,085,318,503,631,861,510,420,067,
900,897,817,468,479,391,880,619,352,202,942,448,127,476,925,897,747,369,474,
328,708,062,087,495,902,779,300,652,454,028,893,338,988,727,881,591,401,043,
530,986,111,423,717,316,255,993,758,192,792,031,597,158,609,187,125,944,033,
209,043,459,320,973,616,155,958,675,577,493,761,150,450,569,502,915,270,808,
434,282,479,657,048,124,950,174,496,910,803,672,674,138,480,441,958,203,492,
105,410,649,060,783,695,298,133,103,547,890,410,628,678,435,528,260,776,974,
632,658,035,387,168,392,759,837,899,024,262,631,092,504,845,523,005,514,080,
724,239,284,819,854,709,971,340,809,960,670,444,609,627,664,606,502,135,608,
965,345,000,601,570,628,824,111,778,772,504,836,034,443,206,792,114,487,754,
929,201,610,889,092,905,238,870,820,205,739,352,193,769,256,732,395,734,414,
729,174,888,865,148,991,704,458,364,012,672,471,655,248,668,608,873,227,389,
695,015,405,614,199,231,235,593,153,894,269,396,707,827,207,525,511,062,868,
068,004,310,328,149,890,019,209,417,335,926,251,823,270,092,828,203,566,066,
368,155,268,262,656,973,840,136,304,562,574,863,806,276,199,750,855,015,350,
009,961,820,481,726,748,887,150,247,829,398,178,166,532,633,957,676,533,139,
457,600,846,561,504,856,983,437,933,106,782,233,170,239,295,017,865,190,130,
764,699,106,008,935,487,811,213,441,370,762,072,087,165,814,162,871,114,389,
871,261,041,678,420,084,002,761,257,071,100,725,342,216,315,849,964,714,247,
175,637,791,937,378,995,528,586,732,553,807,136,095,132,336,956,551,996,658,
286,301,938,869,930,252,831,161,448,905,408,678,130,654,477,850,441,216,875,
568,600,176,381,730,277,557,331,908,809,551,555,828,703,562,900,841,670,206,
500,319,227,424,496,710,522,951,137,470,583,453,346,370,458,322,957,343,087,
720,603,737,496,897,511,899,454,872,583,130,977,490,302,222,912,150,408,803,
455,602,865,123,418,291,759,744,379,104,636,721,334,358,724,070,336,289,702,
087,927,165,760,645,258,031,089,299,804,557,119,448,401,704,256,961,316,284,
753,321,945,342,475,649,542,674,399,006,307,160,499,387,681,645,837,124,718,
635,268,950,513,254,575,684,919,872,648,720,167,755,052,256,057,257,116,845,
823,001,484,133,123,948,141,417,546,258,577,080,365,596,946,857,130,683,582,
333,249,816,319,648,320,598,220,178,595,198,771,727,998,452,188,001,628,043,
907,806,835,519,270,108,973,071,245,273,402,861,361,953,192,678,693,251,407,
749,340,751,709,093,310,584,828,854,371,202,240,484,279,606,782,567,931,505,
756,395,559,321,393,650,283,790,947,113,231,743,258,545,106,385,052,362,457,
114,564,030,596,419,250,661,187,570,833,586,211,746,767,456,654,908,143,796,
499,210,143,690,139,532,794,019,200,303,207,886,657,592,371,347,265,551,337,
858,828,950,844,239,157,238,779,893,232,529,393,788,813,007,173,941,569,492,
757,087,484,591,632,374,179,478,780,060,541,855,348,026,247,915,249,799,611,
802,475,215,282,585,237,752,895,365,631,379,299,137,746,788,687,699,902,159,
539,777,746,273,012,346,138,892,873,043,537,787,647,419,437,040,078,039,790,
202,616,680,790,081,641,687,569,673,240,125,663,958,847,132,912,794,283,858,
153,720,600,152,686,179,209,166,115,065,508,989,415,810,180,016,339,726,862,
866,243,026,536,068,776,287,319,713,241,392,805,075,574,376,868,788,611,338,
137,623,870,665,278,077,815,720,386,439,436,082,973,165,770,322,516,310,179,
137,121,372,243,555,993,156,909,995,821,108,401,820,118,062,250,603,241,012,
942,967,790,817,703,592,666,361,760,714,974,647,552,350,754,151,301,999,119,
924,533,852,389,304,918,799,221,104,461,363,837,218,699,258,827,778,255,246,
693,797,648,108,105,909,827,376,895,250,767,028,388,837,567,445,313,305,226,
996,580,706,313,659,566,528,103,645,317,985,345,193,208,826,622,261,477,242,
749,978,874,386,264,936,891,313,501,130,643,846,080,667,113,564,291,025,190,
969,701,417,728,516,099,218,252,320,658,219,032,559,435,746,744,233,839,834,
526,514,240,379,696,212,048,061,860,014,769,780,799,877,735,447,428,424,782,
290,821,145,084,295,698,914,859,535,659,281,767,691,784,043,353,630,575,107,
962,818,535,203,479,848,967,985,022,711,953,181,008,009,510,496,482,640,616,
890,897,633,525,242,857,006,589,286,007,420,135,951,673,528,904,825,905,994,
328,310,501,706,740,081,664,658,909,209,850,409,351,282,659,154,304,148,875,
632,104,253,346,988,921,933,092,637,623,278,969,671,396,537,458,138,519,094,
336,931,622,531,243,965,870,861,444,920,618,814,505,570,950,733,703,462,979,
746,049,718,354,432,131,645,597,384,786,259,309,490,230,738,684,018,795,554,
726,267,021,464,204,921,402,583,933,088,342,814,881,817,405,580,884,365,229,
830,712,713,300,687,397,572,792,909,380,715,308,334,836,343,265,040,459,790,
243,235,310,165,267,405,107,167,532,273,225,393,769,916,350,259,850,774,957,
062,469,982,362,614,941,683,055,211,335,882,995,545,506,679,050,470,068,765,
609,613,308,469,211,110,401,659,078,280,857,278,361,537,940,960,835,605,775,
514,678,873,055,768,699,637,893,741,517,834,209,940,867,476,393,290,908,165,
662,461,454,221,599,857,431,591,018,471,941,810,979,051,013,621,731,364,898,
875,623,069,847,651,265,976,866,162,958,824,099,844,462,939,354,927,654,912,
179,060,151,673,453,984,916,514,731,913,740,636,541,738,574,348,073,690,595,
979,494,989,717,261,816,715,216,814,086,701,771,791,873,566,735,018,159,521,
732,503,307,679,001,807,743,400,746,295,854,534,661,462,224,984,144,148,008,
548,979,808,002,971,809,254,883,336,753,375,346,827,990,643,680,946,080,373,
594,735,104,763,806,423,703,705,354,031,250,941,316,930,925,517,615,915,861,
190,864,328,203,199,195,565,470,041,703,608,273,107,374,315,043,643,374,811,
392,112,148,972,752,464,119,954,373,310,522,266,373,974,577,590,812,883,613,
022,351,015,911,653,865,144,798,846,014,302,273,511,462,228,333,155,200,642,
916,944,081,541,276,816,546,089,280,822,630,505,169,869,264,412,870,619,686,
798,557,063,485,145,363,448,760,203,767,420,654,695,290,769,920,839,421,928,
274,759,296,768,417,615,741,291,861,718,794,238,072,652,316,874,126,158,890,
813,386,599,092,310,100,616,086,439,507,240,064,574,793,268,327,553,939,727,
977,038,798,312,633,284,986,203,569,309,944,794,622,506,662,574,484,857,802,
579,587,820,573,799,368,399,614,136,834,584,984,306,798,983,581,919,647,276,
429,196,685,674,141,279,282,883,537,941,801,247,584,761,971,940,364,518,599,
769,043,516,864,112,657,471,638,373,792,194,723,167,512,834,209,225,298,206,
357,101,989,858,105,452,425,670,199,698,151,505,246,616,114,245,083,601,113,
676,377,646,878,476,199,492,819,664,162,450,285,031,169,758,326,206,534,442,
845,883,567,775,986,596,461,133,063,944,547,033,994,498,700,353,734,813,082,
265,878,264,789,631,384,571,314,446,675,004,405,993,134,045,895,266,419,607,
519,863,488,164,473,701,569,754,908,283,683,940,297,551,368,623,085,731,039,
022,403,709,665,353,519,290,830,179,561,530,255,099,348,575,976,507,783,109,
377,983,047,108,201,940,611,244,032,661,266,893,272,934,287,669,756,084,282,
504,615,936,434,268,755,019,233,704,453,652,076,253,523,236,520,779,276,728,
668,852,713,226,279,170,869,450,051,330,490,468,168,205,351,571,806,481,029,
941,975,368,929,432,964,331,478,658,637,044,924,397,344,415,859,741,318,889,
452,780,315,933,435,581,041,331,264,952,448,741,972,915,652,141,424,929,393,
875,262,308,597,540,716,201,800,198,024,766,443,051,461,574,331,336,756,206,
744,250,323,353,621,343,840,844,608,382,392,546,407,365,498,437,560,276,936,
413,647,379,246,213,692,884,219,648,421,568,875,308,850,196,997,403,989,826,
514,024,463,712,894,372,553,956,633,480,908,999,383,900,046,755,673,143,547,
043,189,892,310,156,119,317,408,812,962,463,110,495,180,329,244,315,436,822,
540,434,873,900,338,930,759,106,150,625,106,515,612,387,904,152,232,373,488,
226,849,833,068,288,738,142,677,798,647,757,811,094,161,290,960,014,399,743,
575,546,822,248,868,432,551,134,466,609,184,106,861,734,394,135,393,313,851,
217,944,012,670,919,911,950,271,828,548,928,725,827,718,685,201,270,297,297,
411,560,190,623,147,573,782,093,937,057,126,485,880,405,634,461,566,035,692,
849,684,535,206,306,828,254,723,264,458,028,302,712,269,893,705,516,381,223,
915,232,770,213,895,677,256,343,724,485,170,312,000,246,942,980,865,733,911,
485,552,236,402,048,194,399,081,174,637,120,218,197,182,163,569,491,675,221,
683,383,396,666,296,916,305,042,951,860,549,028,495,250,963,323,891,851,145,
065,838,258,099,674,045,542,440,568,209,774,972,411,742,435,380,807,895,492,
642,573,062,555,251,317,064,569,465,343,008,822,132,675,566,386,621,904,330,
980,039,499,453,056,807,974,541,661,040,849,069,061,088,439,778,008,657,576,
593,986,531,052,181,561,303,638,339,382,323,192,955,995,205,178,268,253,944,
675,379,512,695,297,146,838,098,970,549,259,649,822,443,360,444,616,131,873,
644,137,559,286,827,983,066,584,316,394,023,837,276,145,022,908,318,065,186,
976,185,924,163,636,960,560,269,410,804,840,674,399,177,323,116,513,884,695,
449,875,787,698,748,201,535,690,647,277,400,017,483,109,820,805,933,468,257,
520,900,476,330,095,747,880,157,765,720,689,508,329,416,517,163,457,211,837,
941,727,067,742,276,680,622,255,014,922,739,488,793,672,180,866,085,732,855,
427,118,327,552,240,540,588,738,527,138,076,609,195,693,809,482,252,431,772,
033,659,529,839,399,761,929,362,530,133,721,442,276,787,155,998,696,497,464,
110,426,001,192,843,006,699,588,397,707,451,159,346,323,948,050,284,919,546,
970,400,328,638,132,559,648,861,683,730,298,227,234,407,852,960,085,573,846,
487,369,838,581,031,680,232,719,359,877,561,413,303,431,716,170,153,113,758,
105,269,060,700,361,039,789,289,083,367,716,763,228,593,820,878,755,621,909,
066,103,387,016,896,523,526,669,846,594,941,600,058,117,669,698,724,721,819,
910,298,581,350,499,707,956,837,716,113,946,004,150,619,863,905,231,391,839,
500,304,703,119,258,501,675,435,964,060,465,605,298,528,418,335,047,033,250,
435,308,856,931,875,857,318,989,694,416,994,088,741,449,939,654,769,877,557,
962,086,521,257,815,340,150,432,859,985,909,924,285,096,108,173,432,222,471,
585,395,529,544,184,829,039,182,285,647,339,484,945,773,499,462,423,265,465,
162,276,541,921,801,402,578,962,589,558,554,014,284,701,153,816,160,030,596,
762,843,902,023,177,805,036,381,787,583,396,630,616,065,432,080,995,461,960,
167,962,171,467,250,576,599,904,799,574,346,633,010,264,123,724,156,816,853,
799,164,906,800,607,510,112,885,268,275,439,914,665,482,432,724,704,301,578,
252,554,785,600,722,722,051,862,243,586,026,377,483,949,426,939,362,907,207,
581,172,813,253,603,717,515,451,909,400,603,724,653,578,235,956,348,646,179,
484,198,472,324,559,715,862,372,724,229,570,489,154,724,238,489,284,538,951,
073,707,825,564,735,321,428,990,882,704,459,215,013,819,221,347,933,902,041,
765,820,352,226,936,050,392,489,046,829,656,453,743,164,116,413,971,857,961,
140,022,282,353,519,199,233,734,615,082,996,107,359,725,629,626,692,662,494,
449,362,133,133,039,975,274,124,185,005,698,492,930,470,612,033,875,841,983,
264,437,226,135,358,724,407,241,071,749,443,319,054,410,852,777,685,702,128,
564,529,516,523,160,002,120,157,079,030,845,990,266,122,800,451,367,123,108,
593,427,556,575,024,210,364,175,255,527,051,334,833,842,791,436,934,966,302,
112,959,624,296,944,336,889,497,410,996,308,281,160,170,126,967,709,661,823,
324,514,369,780,654,718,034,272,091,772,498,488,933,589,920,452,806,262,660,
107,626,621,035,265,643,076,779,284,961,171,447,223,327,255,164,723,192,217,
270,769,660,877,082,939,450,127,197,329,103,579,027,861,678,713,151,980,391,
705,150,884,510,843,458,652,988,433,852,845,343,173,449,746,962,283,892,234,
417,229,361,457,131,100,588,946,244,131,310,714,456,397,778,221,427,742,790,
624,267,679,430,790,370,184,479,269,790,743,065,506,331,425,878,495,189,022,
365,654,084,326,576,081,682,558,955,206,266,526,063,830,415,274,380,734,440,
471,550,235,391,601,088,302,773,451,019,280,226,093,912,659,434,599,906,725,
928,528,699,438,851,050,740,945,621,957,601,884,600,873,367,210,982,816,979,
041,829,977,518,488,161,516,975,075,131,569,761,697,682,187,214,277,076,624,
457,578,332,325,744,911,038,099,091,830,970,106,440,245,552,221,065,414,626,
669,442,985,907,175,513,213,560,583,141,110,202,120,195,652,278,298,515,937,
391,130,848,709,165,857,373,852,569,290,704,234,653,449,806,270,580,216,052,
068,032,346,430,455,879,771,789,321,535,842,866,747,748,267,171,071,843,237,
029,637,962,252,578,046,789,519,671,143,659,949,374,336,378,722,151,007,453,
732,617,023,729,844,035,569,805,203,233,210,770,919,217,711,944,816,876,335,
977,556,758,727,986,272,357,023,486,098,053,360,224,589,382,158,675,082,063,
493,042,547,095,572,750,489,001,570,666,398,663,535,625,471,590,955,937,710,
005,014,866,851,874,136,258,998,404,512,395,235,046,003,760,325,496,103,764,
664,107,629,191,735,945,264,601,712,638,928,801,335,144,611,737,644,959,699,
593,794,875,337,132,808,964,455,153,969,299,206,013,844,977,860,070,249,683,
214,386,204,096,837,419,673,134,157,084,765,214,056,055,968,076,529,151,610,
817,492,646,358,367,009,513,127,630,434,728,687,563,698,439,621,113,111,819,
870,029,962,207,043,513,776,928,025,914,786,433,160,941,768,768,884,103,273,
184,217,340,235,674,294,384,841,868,032,489,333,265,162,268,739,069,461,609,
709,948,880,834,643,948,948,562,593,247,138,627,444,640,755,085,536,467,640,
422,826,076,607,625,453,850,620,950,809,406,939,552,597,073,003,266,112,903,
263,613,220,343,281,256,774,463,274,239,085,823,363,650,076,213,368,003,333,
786,167,641,405,996,241,771,521,989,607,616,466,288,096,753,091,243,754,198,
614,254,640,583,738,343,382,332,303,353,661,788,183,644,434,409,928,554,116,
064,557,881,057,632,285,977,367,484,206,520,888,881,658,186,320,308,016,736,
008,826,179,618,066,759,168,221,828,799,055,553,780,013,903,323,967,044,604,
766,807,310,327,873,335,503,244,865,417,811,956,291,831,294,866,900,784,114,
761,982,510,022,165,223,870,649,440,683,358,349,857,551,215,058,836,074,335,
438,608,653,299,710,753,455,046,015,556,331,881,492,729,278,263,547,561,133,
129,675,217,428,550,970,999,065,339,981,604,350,011,122,736,389,909,300,782,
441,753,381,700,405,852,105,368,190,011,776,447,978,603,045,491,887,140,697,
412,633,480,265,296,900,237,773,955,755,964,803,278,039,997,425,095,476,495,
716,024,500,551,711,496,569,639,581,499,608,698,673,647,399,451,664,889,361,
433,982,729,070,042,997,102,722,805,371,025,021,753,571,089,523,194,841,143,
786,950,068,987,772,590,384,209,474,051,549,030,572,191,095,589,730,211,515,
300,293,240,778,847,499,001,221,849,433,042,681,769,121,550,512,826,434,125,
145,350,743,388,797,881,783,301,382,040,147,818,962,937,368,250,781,311,441,
970,420,694,342,475,277,413,177,702,047,160,765,890,226,980,381,414,519,374,
481,253,513,305,643,598,291,449,367,531,576,104,384,519,203,050,698,034,252,
701,835,674,474,837,069,739,674,784,195,227,181,157,877,647,364,671,319,074,
713,014,486,398,084,276,339,575,013,685,774,360,642,737,359,112,799,482,784,
563,931,387,534,773,610,909,555,015,424,440,860,631,175,645,186,266,605,045,
360,705,083,993,897,095,026,153,472,712,986,606,594,059,387,905,609,170,897,
164,939,071,077,410,115,545,024,380,794,602,912,419,842,745,000,205,713,948,
422,352,313,332,769,078,344,593,917,321,450,718,464,811,717,497,888,453,673,
505,814,407,381,408,154,936,283,597,862,711,527,920,797,721,878,148,804,845,
840,365,784,230,671,532,109,686,775,052,023,013,204,357,118,185,700,472,439,
014,316,349,635,196,125,638,478,558,446,267,991,913,834,992,554,953,010,021,
694,295,612,367,509,230,103,449,789,013,699,633,981,356,001,683,568,219,096,
715,770,501,899,577,041,888,264,309,461,950,244,177,974,569,051,330,338,313,
489,137,113,144,055,103,826,974,300,255,992,921,862,917,263,562,867,896,629,
848,113,939,575,518,393,621,705,409,881,273,422,702,787,715,089,032,879,120,
421,689,259,384,958,433,505,287,195,049,984,171,075,221,434,024,546,681,748,
614,479,782,562,439,582,933,951,457,849,619,044,194,589,538,963,914,984,290,
160,671,070,876,084,968,915,948,312,040,819,165,860,844,622,786,119,314,658,
667,519,880,669,002,177,617,441,599,927,765,093,521,034,306,054,262,165,694,
660,440,683,171,166,215,765,441,408,676,895,086,428,540,522,179,080,778,765,
620,390,818,187,241,860,561,290,064,230,892,054,679,581,706,275,714,758,883,
127,145,420,278,671,705,366,134,277,927,906,581,820,987,461,071,671,475,438,
740,670,315,920,578,951,040,468,376,901,220,849,810,543,453,887,143,584,794,
755,316,761,035,520,784,693,468,443,365,196,316,977,354,832,886,784,017,862,
185,642,679,103,768,862,376,487,425,383,267,101,196,181,849,391,612,142,014,
687,447,461,436,596,874,246,277,462,495,851,478,336,284,666,228,033,642,760,
291,972,934,737,748,897,361,223,116,392,190,448,564,558,981,628,369,257,000,
110,201,173,602,312,706,809,409,355,653,607,291,023,555,185,556,260,007,808,
759,827,910,964,790,020,833,743,985,528,808,744,730,120,361,341,576,707,020,
792,398,584,079,144,547,761,888,488,985,223,283,027,652,113,272,658,804,804,
077,196,850,230,062,486,828,264,343,897,143,971,440,639,032,582,563,556,218,
896,934,696,184,129,844,982,868,098,284,798,814,824,859,202,925,376,948,519,
676,695,011,637,985,810,896,910,153,412,724,564,751,718,958,494,016,544,593,
864,771,611,967,576,581,385,500,211,314,672,718,271,901,831,418,559,409,819,
719,847,528,297,696,080,445,339,274,946,152,483,751,155,849,150,336,865,989,
228,626,388,322,893,320,795,002,309,994,632,964,727,497,971,982,903,666,865,
235,632,338,628,317,803,464,576,655,539,082,070,224,695,144,152,529,200,605,
106,399,159,654,033,945,476,190,613,933,801,301,291,374,839,753,654,281,541,
594,445,137,010,466,738,550,334,012,531,196,888,210,131,426,703,251,075,557,
813,214,101,185,225,550,440,483,074,125,915,214,126,051,588,865,979,570,387,
482,312,108,993,726,835,304,575,998,184,359,062,374,445,519,090,958,025,486,
829,077,940,758,651,319,738,612,588,841,491,953,833,574,471,080,628,797,472,
873,752,086,646,570,044,172,569,495,137,726,355,038,717,891,544,837,408,086,
311,362,188,709,936,456,327,659,500,567,708,812,350,251,880,008,934,289,504,
733,674,180,122,741,113,406,848,624,006,533,505,284,696,912,552,454,601,645,
351,714,634,994,540,747,569,682,870,624,191,539,075,904,786,518,580,424,849,
708,954,076,348,136,165,802,613,620,177,589,020,484,831,274,489,289,221,091,
727,754,095,799,625,108,606,827,026,613,424,690,658,527,690,418,832,840,494,
569,215,692,309,172,627,603,139,742,850,782,468,511,068,353,112,985,514,863,
198,216,763,198,579,957,529,683,757,859,827,081,198,070,917,332,199,024,324,
088,215,484,731,548,330,649,190,854,824,459,077,479,718,397,715,459,019,640,
701,497,997,963,604,011,608,293,848,548,718,236,140,552,678,188,620,537,655,
593,182,241,579,874,002,195,866,479,939,335,641,090,582,385,065,365,355,424,
078,228,793,952,931,170,127,290,460,347,613,134,445,496,033,761,765,725,332,
156,480,161,292,749,223,855,110,763,631,543,341,036,640,365,261,631,892,616,
452,346,259,576,501,155,803,373,352,351,392,114,836,637,518,356,161,362,124,
374,772,284,612,043,223,801,838,371,777,731,501,699,101,198,357,033,792,425,
998,907,502,289,316,331,757,201,095,294,868,727,312,809,609,394,855,049,594,
703,842,375,305,563,257,074,955,065,672,627,126,901,387,405,837,405,685,298,
874,396,657,845,028,050,690,967,338,431,755,986,189,859,239,311,935,091,822,
851,170,100,643,281,880,090,768,502,223,569,842,646,675,648,298,943,165,968,
441,301,653,116,772,382,579,121,377,632,146,588,540,303,834,472,791,827,249,
622,040,034,290,400,484,598,902,291,365,214,504,041,311,903,579,123,541,258,
055,763,405,715,651,324,552,593,729,728,583,062,766,854,465,972,653,752,532,
698,018,668,224,491,955,910,688,041,035,848,766,101,530,192,153,828,940,642,
028,053,151,624,210,174,476,028,633,741,056,319,781,684,517,411,395,670,006,
894,145,795,572,368,109,560,919,266,213,684,427,533,957,513,364,584,588,700,
654,709,877,879,753,397,776,216,259,204,700,838,273,609,411,876,731,570,621,
754,695,669,641,948,573,313,657,934,798,187,932,853,288,982,509,243,131,571,
356,906,174,638,063,240,673,680,283,690,729,976,961,715,965,341,183,934,772,
702,171,777,541,511,044,848,537,048,691,209,565,236,971,731,903,885,227,138,
977,982,703,780,288,962,425,489,729,461,081,853,909,613,794,173,184,687,794,
425,169,856,091,106,643,232,943,751,243,031,933,739,727,080,459,740,249,838,
826,745,864,379,337,818,704,992,959,465,470,547,615,156,723,736,224,755,358,
964,040,869,338,365,989,396,213,710,908,873,333,581,151,246,871,152,099,427,
422,884,480,973,418,251,270,356,714,433,408,577,353,064,714,682,970,990,710,
971,809,059,600,340,080,387,941,351,360,514,905,825,302,398,200,631,505,577,
219,170,632,982,870,055,568,570,216,085,029,808,925,638,894,504,249,549,442,
970,337,545,012,977,932,347,544,598,164,911,903,655,606,413,002,120,748,270,
763,627,275,128,354,848,171,855,863,012,888,091,471,268,852,768,035,046,513,
937,026,596,978,191,287,421,045,899,800,413,589,416,777,217,329,215,324,337,
907,563,444,312,248,397,904,761,162,958,485,098,062,760,618,235,990,367,269,
667,220,763,492,242,414,532,158,306,501,250,559,571,309,187,218,753,112,545,
970,211,842,985,746,793,639,960,190,489,622,594,964,907,567,964,744,473,687,
888,845,807,254,424,035,887,222,505,423,047,296,298,010,408,936,666,683,814,
491,627,968,040,060,370,403,515,479,930,619,314,654,065,383,788,371,977,571,
403,568,469,909,412,885,951,668,488,694,488,592,582,686,000,256,147,109,081,
439,092,538,205,170,008,120,238,588,028,367,222,619,952,454,646,124,790,155,
638,550,298,331,432,352,860,714,624,543,051,623,908,282,260,404,347,445,393,
867,809,522,761,772,186,842,160,963,301,099,784,896,733,253,056,560,656,676,
789,450,592,338,377,014,655,876,034,486,408,142,221,109,349,294,803,725,035,
106,845,501,147,480,322,637,213,772,236,275,132,865,835,059,332,366,306,273,
802,650,314,884,554,427,707,425,617,143,649,235,463,378,710,934,725,590,739,
779,228,027,505,373,819,985,695,108,615,491,365,849,806,912,526,388,044,371,
907,557,880,876,920,358,928,855,613,843,491,923,893,542,755,283,551,195,894,
772,502,637,379,694,575,947,221,343,303,430,198,928,866,066,955,560,999,615,
896,078,317,733,686,858,771,457,411,990,736,133,517,225,128,185,332,217,591,
166,646,899,365,804,004,582,879,323,202,567,155,628,916,904,853,512,468,208,
974,318,064,926,341,902,762,842,591,051,638,464,345,724,203,090,462,126,321,
259,212,859,437,305,832,841,870,384,047,705,446,078,596,465,378,973,254,976,
292,469,094,120,940,051,166,090,748,206,855,697,900,917,686,593,982,780,886,
515,101,316,640,051,926,011,503,246,643,959,852,763,781,712,178,411,905,990,
489,877,448,410,662,638,298,385,841,814,703,247,753,075,341,065,350,452,830,
426,887,301,459,722,203,321,360,633,391,539,458,702,510,440,239,816,475,939,
317,954,653,271,408,324,187,126,952,080,366,413,123,923,540,021,850,412,172,
791,829,741,688,033,227,383,605,617,480,229,061,516,972,609,335,007,985,886,
654,542,516,660,235,103,321,878,219,291,940,720,119,986,299,608,184,356,833,
174,085,114,511,301,999,470,825,580,707,910,249,770,110,607,590,303,274,351,
442,943,955,615,648,315,061,988,177,839,476,378,779,456,459,491,207,620,855,
336,688,436,023,513,193,255,184,554,999,719,925,015,011,639,053,772,320,618,
474,732,423,041,883,416,757,092,635,970,665,597,206,364,712,667,907,861,518,
095,444,307,958,998,502,700,914,232,639,840,346,888,029,195,628,593,316,281,
926,868,236,610,821,657,801,377,337,425,001,831,160,799,773,060,537,642,848,
863,331,839,967,559,817,715,012,764,125,129,023,575,574,468,376,444,497,965,
384,089,971,473,825,380,394,278,312,395,827,057,237,017,736,257,605,790,913,
200,717,012,317,836,986,703,568,031,158,344,614,498,306,255,859,956,483,391,
545,202,312,992,338,856,871,121,301,244,982,071,931,956,343,402,217,068,365,
269,004,349,590,185,157,599,297,563,614,101,075,276,701,987,869,462,073,158,
378,211,193,678,854,504,262,771,500,210,615,713,234,919,658,274,738,774,606,
710,581,912,487,771,450,018,247,751,745,822,972,686,301,179,934,164,420,738,
828,851,219,117,246,134,063,767,427,562,821,681,797,297,116,071,608,077,018,
031,009,218,204,690,735,390,090,637,322,540,568,627,668,772,448,454,215,879,
495,544,284,542,814,200,655,233,383,279,936,905,849,308,065,306,086,104,213,
547,147,178,189,243,834,445,315,507,463,070,555,985,936,739,555,431,126,142,
846,734,033,190,390,457,338,188,617,720,471,632,239,643,917,444,455,465,410,
971,039,613,750,746,025,632,928,778,244,377,948,214,627,989,766,333,388,387,
898,450,728,566,457,645,650,234,655,869,742,443,135,938,035,745,793,848,978,
372,084,795,420,866,070,567,037,869,823,596,422,911,079,325,844,714,665,842,
388,789,080,561,527,273,499,704,996,349,384,167,456,155,528,400,268,034,564,
741,657,909,746,034,347,474,451,400,878,729,386,679,933,024,150,412,970,997,
875,591,004,233,812,398,679,456,817,692,719,984,537,694,277,200,434,228,257,
317,738,015,321,884,828,649,008,334,193,201,887,319,421,434,490,105,122,433,
870,419,794,831,344,252,011,827,495,276,003,258,006,729,414,550,165,448,994,
660,081,156,931,811,875,911,706,407,289,425,813,667,825,364,039,882,750,488,
589,114,428,485,427,556,113,510,540,249,981,858,097,891,054,850,807,543,942,
238,567,465,242,395,989,029,284,670,420,032,808,797,691,628,587,482,620,729,
995,863,689,530,708,917,444,808,802,571,886,917,307,723,721,792,004,818,577,
726,537,123,059,581,179,450,241,811,320,807,700,638,457,154,982,381,603,819,
129,929,254,122,877,551,457,619,547,515,533,122,848,349,694,102,214,424,068,
552,935,850,296,012,374,725,170,140,584,028,992,947,472,121,328,196,911,957,
025,972,820,710,698,632,710,074,635,488,786,604,469,081,771,966,639,193,914,
029,163,136,549,278,342,488,483,172,991,810,676,418,733,683,581,163,640,418,
932,362,497,227,788,451,095,098,217,476,533,531,508,092,530,124,870,081,047,
805,206,167,244,959,318,305,466,992,184,022,736,014,685,716,086,500,514,273,
455,241,124,272,278,880,750,770,246,054,351,887,050,705,950,446,713,532,326,
250,245,685,784,053,769,976,609,478,313,634,651,013,938,593,954,046,379,799,
249,902,881,233,382,451,869,366,622,078,754,391,051,212,229,110,002,425,289,
206,415,753,488,447,444,342,550,201,004,045,778,569,501,364,653,007,025,478,
766,325,392,693,999,129,590,401,643,448,587,244,080,721,514,024,910,770,300,
184,652,323,157,014,033,712,469,046,040,879,363,905,019,860,181,739,929,473,
577,161,151,597,302,770,853,860,828,183,306,569,895,671,274,057,134,728,650,
799,552,366,282,510,397,664,646,490,933,842,344,350,069,179,484,195,514,404,
071,167,130,792,048,380,425,013,766,764,447,034,261,993,121,791,410,803,214,
598,521,526,317,958,897,558,427,327,709,401,177,855,365,355,605,309,734,552,
622,299,763,779,704,823,542,684,331,792,263,482,113,041,401,657,921,796,910,
367,694,544,933,323,800,650,868,836,689,437,233,066,872,886,019,763,616,900,
571,451,546,640,354,749,536,001,845,077,944,704,921,881,981,018,868,246,379,
068,143,413,877,745,669,054,335,552,277,657,035,836,541,558,301,763,648,102,
624,677,896,190,687,158,539,221,532,048,462,449,400,187,837,651,167,877,947,
547,753,521,891,936,449,041,303,722,140,648,759,530,750,877,203,420,127,523,
770,346,509,910,593,849,439,653,927,603,874,543,995,916,656,230,386,665,850,
720,267,737,202,393,824,905,704,885,116,693,255,862,890,393,504,171,319,306,
379,966,255,399,991,282,346,684,480,785,427,719,516,013,153,903,821,173,965,
303,307,490,339,423,453,051,003,515,950,362,118,655,619,834,106,258,653,991,
157,453,891,370,248,211,925,693,348,791,839,753,257,077,025,595,722,033,532,
909,641,966,344,112,965,851,392,494,148,908,697,067,480,158,879,232,628,140,
356,825,523,659,699,271,883,319,705,904,944,969,947,108,834,869,808,453,302,
760,416,974,345,970,852,861,938,908,224,912,903,769,802,257,414,259,970,342,
346,507,397,103,109,351,101,241,428,806,909,080,646,701,195,477,328,771,640,
073,720,535,673,938,633,940,280,912,584,166,842,808,500,853,672,643,184,012,
372,698,196,523,242,904,429,455,464,012,460,070,190,941,562,651,307,891,954,
817,842,695,207,647,176,874,154,477,887,096,167,328,499,234,192,076,389,724,
421,772,786,290,689,364,539,725,020,660,753,593,760,696,034,168,588,129,733,
807,751,584,357,343,195,952,406,146,495,219,368,085,799,831,305,086,768,735,
269,555,605,238,141,861,990,504,353,181,038,996,026,217,573,505,601,166,414,
770,122,866,363,451,204,289,615,303,718,993,795,167,070,211,267,109,901,234,
311,537,307,140,927,953,641,131,954,243,102,044,533,069,541,203,182,336,335,
375,529,001,769,591,725,873,868,421,302,817,142,568,103,611,724,859,230,944,
870,777,497,000,898,095,666,434,610,083,664,201,671,572,025,926,646,993,131,
536,196,441,102,001,150,192,858,448,837,405,907,332,739,492,020,409,357,509,
455,366,990,844,039,413,114,255,914,252,886,960,255,747,438,785,187,095,548,
992,614,230,285,684,710,308,906,048,866,093,292,855,102,958,582,409,148,436,
888,605,081,519,392,340,054,296,471,193,955,534,747,170,445,643,990,302,340,
666,684,676,158,753,089,882,904,091,570,503,559,736,385,593,444,607,091,940,
214,796,511,180,432,056,727,495,625,795,857,729,889,577,370,505,863,979,374,
683,826,711,499,214,123,180,197,679,866,804,265,078,335,620,400,100,734,107,
928,787,051,325,084,283,512,493,055,165,382,897,738,005,005,652,242,668,943,
980,166,226,982,505,261,997,990,839,249,045,895,189,582,705,023,794,187,545,
300,124,380,869,964,942,876,238,936,890,999,434,910,197,125,297,621,105,540,
297,558,055,841,763,304,586,291,807,655,630,516,508,070,834,346,766,978,344,
020,735,124,331,992,786,605,558,941,531,239,482,967,076,954,112,538,087,719,
980,116,105,465,156,250,137,482,137,997,863,662,849,564,770,168,600,464,958,
420,633,523,967,753,412,216,880,076,935,519,912,688,334,251,942,938,568,750,
992,902,286,837,785,817,856,133,755,535,036,519,835,505,733,150,009,642,074,
425,161,245,208,626,562,331,138,356,774,679,094,709,918,525,172,198,277,606,
400,850,574,141,382,192,215,406,878,067,817,931,971,697,917,011,176,780,481,
433,895,013,099,407,445,885,559,013,301,739,838,964,062,386,686,662,931,751,
875,915,510,951,856,569,384,043,627,503,893,060,103,508,317,412,494,761,924,
711,557,800,243,585,562,014,415,428,908,367,661,026,516,566,792,059,218,193,
231,752,747,854,294,155,200,422,233,557,670,382,080,471,743,013,977,530,394,
580,883,486,083,739,129,647,151,560,949,692,124,093,676,684,581,082,719,905,
689,474,307,833,290,710,330,412,755,181,788,277,869,768,921,902,753,661,784,
280,208,988,171,166,924,111,943,281,260,899,077,177,083,486,702,676,237,824,
656,839,835,869,023,870,637,527,841,529,685,267,700,702,724,061,307,363,046,
994,756,966,101,790,420,483,606,800,658,971,728,827,788,876,473,653,735,339,
760,115,996,099,426,346,578,863,256,761,880,436,260,714,203,210,379,433,098,
009,551,876,108,945,686,662,480,411,034,236,254,261,637,301,689,428,413,633,
580,090,154,923,556,659,954,719,024,585,900,315,375,604,227,880,989,093,891,
737,730,788,358,501,047,362,453,919,662,239,187,813,593,961,031,399,058,571,
101,526,416,387,226,856,266,872,788,411,442,673,374,527,118,211,451,097,553,
651,052,614,365,382,936,707,928,044,230,532,961,692,425,937,370,183,554,965,
178,709,187,538,351,025,637,246,338,922,594,731,203,388,649,258,754,588,748,
994,206,786,126,881,689,648,874,221,273,730,696,095,349,528,507,536,445,657,
085,929,773,591,233,651,815,394,055,563,942,001,762,989,431,110,716,440,230,
875,748,639,331,378,809,291,752,242,374,833,985,510,164,830,232,963,085,700,
298,207,292,649,576,368,282,337,677,698,839,261,611,369,605,624,230,045,541,
219,663,270,614,620,911,176,352,964,254,189,709,363,223,750,857,416,251,219,
457,318,330,793,675,517,646,001,872,205,575,887,329,196,794,448,519,038,597,
986,606,256,225,056,169,748,554,123,049,470,340,911,892,384,230,362,551,435,
314,653,399,827,129,888,137,920,039,347,320,921,068,363,942,298,145,073,075,
024,710,706,743,970,340,832,128,222,718,591,529,373,697,433,610,425,764,091,
820,807,302,115,051,451,503,470,928,635,799,534,614,508,702,302,510,523,571,
521,077,949,521,948,998,324,508,649,558,908,226,978,689,763,524,790,974,600,
920,878,420,199,860,548,467,467,828,994,471,707,346,627,424,049,555,221,369,
125,056,392,048,002,818,396,807,033,904,201,959,405,630,774,986,384,722,295,
550,498,972,190,249,884,437,060,519,644,327,613,149,920,930,663,245,658,461,
869,324,666,217,110,668,653,021,453,991,176,940,366,736,844,848,488,080,318,
610,312,096,677,905,829,970,055,200,051,963,928,695,960,829,874,124,007,923,
084,108,252,704,197,389,126,785,888,422,141,329,110,320,450,997,860,431,722,
166,065,156,839,847,432,613,799,882,663,533,746,754,398,910,847,100,497,445,
546,166,272,757,819,664,228,156,399,848,722,079,810,394,582,498,924,811,345,
687,654,008,788,459,197,949,963,969,518,189,457,459,042,377,712,519,384,587,
594,532,717,925,548,153,576,431,097,815,938,002,311,580,911,543,281,745,383,
096,398,346,875,115,010,084,396,836,110,941,985,158,280,708,401,735,174,893,
246,834,116,724,741,105,083,289,744,347,498,926,024,036,778,896,979,730,386,
279,576,128,464,318,994,627,940,102,202,838,898,259,502,534,384,384,309,511,
216,453,567,747,967,916,526,826,307,968,250,003,889,378,622,673,687,527,604,
734,652,947,541,252,196,139,648,457,776,566,834,937,655,631,495,310,870,383,
452,482,093,052,552,314,623,516,965,475,521,893,670,978,796,544,999,642,750,
752,891,505,783,127,695,472,906,565,321,254,819,080,820,685,102,510,052,692,
563,776,180,769,837,779,051,730,074,542,310,051,210,799,321,054,246,220,548,
081,221,367,568,174,070,773,025,798,701,454,577,149,424,084,421,028,049,690,
517,877,443,466,295,042,065,939,250,461,706,207,574,841,620,006,001,016,702,
445,028,934,630,733,610,992,469,979,159,096,674,242,576,289,796,770,392,877,
952,840,349,924,581,482,593,812,368,950,907,319,059,643,425,210,040,851,444,
809,314,809,595,435,009,115,398,996,353,288,983,885,820,522,156,870,224,052,
636,700,568,440,950,260,601,975,480,266,571,129,732,502,966,063,918,109,155,
721,687,565,566,437,401,897,784,376,448,093,822,777,442,603,248,417,625,206,
259,352,844,306,063,150,612,764,920,074,989,939,990,186,219,671,966,411,177,
045,505,127,309,532,931,789,517,303,239,276,707,864,087,460,359,168,071,404,
281,212,108,846,220,047,981,599,022,005,416,351,936,472,311,199,968,390,466,
061,442,187,738,297,092,691,971,965,700,366,452,107,860,815,813,048,137,178,
939,108,379,975,176,838,811,134,649,101,558,965,885,723,043,822,857,804,841,
449,969,928,189,272,268,284,487,158,378,811,708,738,375,178,516,220,753,208,
884,102,375,235,585,209,233,559,245,324,273,352,932,237,983,132,421,082,860,
300,292,650,882,773,817,486,237,227,318,938,717,265,558,687,108,367,128,249,
239,445,010,184,707,126,668,289,858,426,714,882,479,826,467,696,955,644,236,
739,143,923,331,727,174,839,303,177,975,909,549,395,633,627,938,177,417,511,
186,275,479,058,327,805,679,323,629,074,723,419,152,106,354,468,444,605,416,
549,319,104,264,577,279,433,360,387,871,574,228,792,129,188,088,021,377,941,
709,345,520,905,086,556,740,849,808,501,290,854,562,226,854,405,203,011,038,
516,423,774,753,682,171,821,962,241,770,608,788,225,258,678,584,603,226,422,
452,957,743,940,137,799,506,825,815,062,769,884,305,677,835,608,224,528,448,
906,558,593,493,208,801,712,469,354,874,815,719,574,531,621,419,400,160,419,
692,869,158,465,062,574,517,616,656,030,859,222,281,923,800,873,425,906,552,
596,399,314,123,410,477,294,936,382,083,155,578,823,486,951,602,833,526,470,
155,972,252,083,676,422,752,450,206,321,117,938,092,944,243,041,337,997,477,
259,732,025,351,378,180,651,427,947,413,396,709,958,572,700,137,379,017,381,
693,236,146,762,434,010,534,716,819,481,587,541,094,261,466,290,480,627,724,
140,354,424,526,772,013,101,064,815,945,600,623,895,922,380,522,588,669,814,
342,613,813,531,768,319,710,360,560,029,068,175,813,297,779,538,433,661,086,
580,802,544,970,881,111,017,066,585,081,339,637,569,103,798,040,777,766,893,
769,222,868,248,176,406,215,103,341,028,354,293,827,029,220,357,128,384,177,
576,644,939,606,713,227,636,356,527,511,125,618,884,227,764,283,224,361,857,
922,036,743,435,146,501,711,179,853,477,146,668,087,462,623,985,925,136,007,
823,851,578,112,852,018,513,194,115,836,549,810,203,374,979,053,168,968,919,
587,102,968,200,355,630,291,060,763,717,902,213,955,530,965,809,749,536,282,
333,750,616,643,678,830,345,256,039,937,968,546,273,138,233,716,259,445,938,
520,728,974,071,567,140,794,771,743,128,394,786,264,711,126,224,748,217,461,
946,115,585,981,312,279,512,868,111,726,455,116,944,579,998,230,389,800,055,
400,833,522,248,296,750,922,961,123,500,373,832,794,099,963,635,542,194,577,
366,475,409,344,649,446,073,493,658,868,062,567,233,425,257,011,620,258,795,
931,260,522,115,122,116,013,192,504,289,563,065,336,877,901,776,663,894,167,
618,662,223,075,908,895,160,996,122,679,822,917,586,168,587,541,634,700,763,
067,059,809,802,270,393,598,019,050,196,685,657,748,548,840,371,039,220,883,
962,049,580,619,166,666,047,238,257,687,310,873,288,932,442,000,290,811,495,
328,262,617,226,383,873,150,293,943,428,897,299,616,281,701,887,774,954,456,
960,243,264,651,028,966,002,238,749,049,020,923,694,490,341,646,865,066,632,
218,113,078,149,468,984,124,584,408,073,649,813,748,297,477,336,997,236,766,
336,348,899,812,672,380,447,950,789,200,720,352,324,187,597,211,624,980,350,
335,800,149,288,151,834,751,976,223,282,215,556,013,632,885,155,835,795,533,
484,569,548,486,228,220,300,612,567,907,762,739,572,185,960,300,907,727,958,
581,860,078,119,018,924,433,431,262,466,109,278,004,617,936,815,499,157,077,
177,672,338,613,831,008,652,002,884,218,104,107,873,002,182,214,862,455,915,
795,661,427,278,285,194,924,977,418,571,709,214,717,167,718,119,079,606,477,
530,197,590,808,842,328,575,092,917,736,060,529,650,536,315,662,272,597,960,
499,843,797,976,582,049,965,344,881,242,504,848,479,550,212,560,621,109,561,
570,056,710,152,828,588,811,730,896,827,620,252,749,172,403,383,003,617,632,
723,801,370,821,279,782,302,662,940,331,962,821,562,927,786,670,597,683,004,
496,065,498,577,288,747,083,341,662,469,847,775,240,668,562,550,645,642,920,
673,410,747,005,817,176,367,513,734,122,269,652,100,681,318,863,306,322,860,
405,046,867,777,957,882,888,940,452,269,016,464,775,895,958,025,841,311,513,
246,636,207,419,116,618,721,053,480,852,598,228,085,168,584,775,633,844,072,
867,627,289,300,704,868,880,513,026,927,488,891,290,490,665,579,870,362,663,
904,725,846,046,678,167,755,680,116,856,172,579,382,364,012,107,593,639,691,
909,139,177,298,874,676,725,812,094,276,757,210,913,793,139,648,008,484,815,
421,429,439,001,933,205,433,239,241,241,295,666,913,368,440,749,397,347,820,
842,578,921,943,465,122,205,965,182,038,882,679,577,791,086,147,345,557,766,
523,044,896,130,664,609,429,181,964,459,163,886,928,049,195,429,675,460,375,
589,596,639,802,296,669,719,077,387,656,836,332,521,514,715,854,991,927,449,
816,474,271,073,439,817,374,147,240,124,615,288,055,372,876,749,336,458,844,
718,883,694,793,124,188,037,754,500,186,591,742,186,515,010,266,757,703,461,
886,593,044,647,706,860,904,484,369,539,184,357,964,499,743,130,452,557,700,
405,208,527,940,391,208,079,423,455,548,857,236,343,962,923,284,014,364,896,
759,319,221,446,187,868,104,453,699,047,658,943,115,938,405,684,329,434,590,
834,160,783,683,516,574,892,130,147,388,010,966,425,986,470,934,010,055,231,
421,051,089,330,418,541,920,547,766,090,899,632,323,845,563,509,462,808,296,
836,667,125,996,118,520,672,665,833,638,091,610,762,043,604,457,912,677,407,
495,027,038,882,926,096,309,468,993,574,261,966,948,733,133,821,502,545,118,
850,343,347,904,508,902,688,048,634,131,802,050,154,755,334,549,091,387,606,
000,163,715,393,737,405,458,041,514,525,241,596,164,306,875,539,187,458,496,
468,991,315,633,872,307,021,165,443,783,801,741,401,387,209,889,317,052,351,
648,949,903,646,900,708,216,912,161,006,896,041,089,457,221,998,932,079,608,
828,360,942,377,013,147,007,040,092,698,684,113,984,303,883,378,995,798,803,
578,203,743,146,919,912,618,028,797,242,132,563,988,254,376,437,493,839,491,
778,658,332,841,959,970,561,053,599,651,549,383,868,816,215,800,246,103,180,
931,385,682,707,938,909,101,517,253,036,571,726,812,292,954,737,562,536,072,
849,929,459,311,196,333,805,773,686,360,116,690,215,173,364,375,190,067,778,
189,390,250,231,019,803,414,470,023,432,866,264,984,504,124,115,380,960,653,
409,104,105,364,971,086,609,497,560,529,035,739,559,766,397,570,616,142,106,
718,879,835,797,496,806,913,674,280,961,358,879,453,111,880,254,313,473,605,
006,489,861,275,899,517,338,495,722,216,494,060,399,092,192,951,145,457,697,
795,089,969,091,840,742,203,849,452,241,817,123,823,294,849,104,273,710,021,
050,601,170,026,764,259,667,390,526,054,134,626,445,488,424,149,162,980,307,
049,735,904,381,102,415,837,723,320,251,493,085,795,535,822,398,003,442,918,
757,090,045,677,434,439,868,620,200,885,443,359,136,204,474,825,156,663,893,
717,400,800,103,502,378,297,745,950,405,603,773,513,099,205,136,753,476,259,
610,715,305,262,190,946,233,586,018,768,493,219,285,796,644,852,321,755,550,
751,843,434,734,398,305,014,247,727,556,632,217,570,777,787,563,639,481,715,
645,541,746,501,265,647,053,923,581,061,325,026,134,614,487,680,353,646,372,
651,957,630,262,473,071,752,127,195,440,728,321,096,436,689,245,754,064,433,
586,238,262,556,914,766,850,740,357,196,077,316,312,929,408,145,500,219,587,
231,798,330,636,275,515,926,754,251,231,521,930,767,179,544,771,182,314,759,
757,844,620,791,631,801,630,502,395,979,510,812,036,980,729,879,374,763,829,
750,173,333,356,691,526,192,145,433,096,892,072,006,378,175,133,665,892,626,
233,050,066,484,123,277,738,698,929,809,792,585,654,537,148,387,598,623,275,
040,608,606,197,959,574,395,997,368,672,071,523,789,441,425,223,612,152,477,
620,177,010,500,736,764,986,086,640,819,496,254,613,177,984,023,884,292,480,
845,957,148,355,856,537,067,296,001,807,732,089,383,159,461,473,827,762,021,
138,058,419,889,324,347,273,270,085,767,919,855,500,052,293,758,509,902,641,
718,348,875,214,329,194,618,325,077,095,169,126,428,558,177,142,665,236,235,
149,796,876,055,487,067,085,897,072,977,504,249,163,484,355,706,721,623,528,
428,147,214,727,075,389,391,623,665,267,179,425,303,135,650,633,289,903,981,
964,346,257,503,867,261,642,549,924,889,396,829,271,682,808,525,550,798,936,
831,266,736,749,241,314,192,740,855,173,628,502,050,286,870,289,828,868,091,
090,522,833,545,289,728,691,207,933,096,601,683,787,824,138,174,412,957,468,
626,720,429,072,216,036,718,620,590,712,750,942,767,226,976,124,193,524,932,
642,462,151,234,690,810,604,570,627,619,535,236,069,653,325,147,925,205,224,
858,066,079,514,494,757,151,504,279,440,581,729,813,420,573,888,083,761,011,
295,758,537,047,521,311,194,909,141,019,993,760,853,429,113,179,770,341,402,
126,263,472,653,857,964,804,827,131,042,846,513,177,169,054,988,318,265,803,
537,594,347,693,191,174,641,337,485,745,921,404,880,656,531,616,966,844,216,
968,874,494,783,855,212,366,644,539,668,009,056,560,919,464,586,985,797,444,
324,050,622,842,573,510,624,014,934,518,717,157,814,228,314,746,849,500,474,
748,802,842,087,253,919,759,975,716,118,793,559,358,201,788,458,823,516,483,
331,093,662,518,169,016,736,552,314,430,716,416,253,681,121,278,787,592,291,
126,560,563,145,931,104,578,674,507,132,427,739,325,854,462,851,048,295,906,
023,043,424,291,195,966,467,612,792,660,342,854,503,155,646,899,266,701,362,
574,007,112,559,108,295,677,088,306,672,035,949,190,288,180,386,846,324,186,
635,398,615,269,149,359,862,607,117,228,455,755,403,339,844,164,745,918,586,
468,241,804,404,476,770,800,402,648,503,951,671,706,787,834,175,955,496,866,
838,568,472,667,582,860,222,932,652,828,706,337,796,711,535,573,921,155,358,
172,952,285,212,863,269,204,583,651,136,471,575,054,394,835,382,812,193,340,
361,961,410,286,029,922,422,427,687,071,465,051,577,388,435,126,697,058,161,
966,388,575,949,575,273,185,465,061,065,005,486,522,835,673,706,882,610,632,
138,322,192,240,814,279,360,978,456,781,880,154,229,267,607,867,313,826,068,
254,136,913,049,849,019,944,279,831,601,619,699,748,911,265,127,839,139,277,
121,971,358,908,130,183,883,374,124,466,750,572,235,574,844,157,129,710,135,
858,829,781,626,675,565,896,134,790,584,064,246,189,105,748,957,441,004,898,
729,589,075,823,884,359,779,069,628,325,287,362,681,527,427,652,431,244,565,
089,151,153,540,265,811,562,898,450,022,341,345,943,719,039,226,435,963,489,
381,405,143,333,375,439,198,440,653,920,436,886,436,534,791,307,580,669,387,
059,308,441,680,099,908,236,942,048,564,121,703,593,877,922,649,821,585,593,
161,710,518,553,032,123,153,432,538,944,157,146,661,621,499,013,851,514,258,
348,280,796,927,867,416,007,145,452,383,131,560,827,705,647,120,976,635,514,
763,772,526,989,538,338,147,388,782,250,622,238,426,231,102,324,486,965,621,
059,713,365,044,419,374,845,722,685,407,578,053,866,605,261,525,368,426,826,
747,592,052,982,368,356,460,438,322,312,368,679,663,065,391,380,941,981,597,
084,921,110,243,062,231,123,347,592,014,680,160,013,549,077,055,622,409,198,
545,184,117,611,106,539,743,279,453,839,006,603,117,757,269,749,106,540,255,
585,555,282,296,369,320,613,352,881,074,941,986,078,474,892,729,789,800,653,
555,822,384,567,727,657,233,566,675,770,883,777,313,850,308,434,596,428,238,
019,592,712,777,859,423,110,940,493,769,476,497,198,424,263,416,970,265,032,
423,903,008,941,420,946,094,252,038,160,374,130,481,964,050,977,483,033,234,
720,432,855,855,997,481,526,823,712,144,757,512,702,165,072,094,063,659,432,
974,578,188,182,452,184,950,069,094,761,069,495,307,052,980,409,845,214,948,
271,400,622,151,664,839,997,974,907,626,750,188,973,334,489,792,234,373,358,
795,461,242,667,066,704,201,570,382,117,762,082,034,628,198,644,351,094,820,
128,491,072,402,732,525,896,724,572,398,915,746,730,425,234,683,158,865,063,
024,295,163,428,941,510,867,861,677,709,236,643,466,568,042,502,064,353,678,
742,841,618,069,941,012,000,898,782,130,712,119,943,808,456,146,186,239,244,
282,701,832,497,683,574,558,112,251,318,209,455,363,816,182,832,737,442,687,
313,403,590,606,876,206,837,166,047,251,478,665,284,942,334,714,275,491,172,
063,123,550,867,736,726,402,089,961,902,753,535,103,371,336,668,174,122,083,
327,023,213,940,587,523,831,258,074,003,041,965,930,423,200,264,588,665,958,
885,734,180,980,126,215,280,546,164,003,958,752,884,743,772,340,781,696,466,
903,945,444,337,435,474,691,334,760,741,981,697,091,075,077,809,782,092,298,
561,694,686,207,314,125,821,852,848,848,904,566,111,976,892,196,300,273,690,
017,498,674,265,409,468,255,183,109,400,651,204,546,697,193,740,910,700,213,
266,120,323,101,587,213,564,432,595,423,224,478,997,662,300,183,399,059,792,
625,994,796,199,142,897,393,970,310,570,723,726,910,960,081,206,912,566,580,
004,126,073,020,269,253,938,601,421,398,889,051,460,692,860,288,468,383,669,
042,092,296,805,879,515,236,975,688,618,699,179,123,926,834,232,933,914,769,
592,327,285,609,096,126,296,666,019,199,089,036,249,580,944,106,395,711,608,
682,376,421,349,143,419,268,124,131,467,852,365,520,050,217,838,995,234,540,
898,503,882,651,515,609,408,964,303,471,564,995,242,060,658,069,794,471,787,
018,704,124,763,856,825,572,009,360,447,405,970,413,860,090,355,860,632,251,
851,769,471,864,223,177,159,570,597,747,320,970,450,111,599,451,821,261,057,
249,182,844,391,373,919,821,142,554,743,810,979,627,567,148,673,851,287,063,
190,050,019,371,107,061,834,636,130,934,656,932,446,602,198,070,683,472,954,
041,130,778,610,373,842,526,695,474,876,912,946,019,864,684,340,367,511,157,
621,116,352,805,780,596,428,224,226,698,965,526,012,178,184,917,240,639,696,
831,043,902,650,582,807,771,605,277,245,189,856,796,237,458,480,773,754,992,
495,309,140,140,940,751,418,251,234,723,440,513,164,161,989,803,075,847,377,
842,383,524,293,879,215,515,671,057,278,286,572,641,813,963,860,270,896,037,
268,589,615,985,502,147,737,608,142,727,272,700,506,828,203,419,639,014,323,
730,504,171,809,171,322,701,607,865,614,024,917,702,607,710,039,283,546,751,
728,632,289,794,846,517,961,030,894,006,226,565,980,486,623,763,192,416,941,
135,317,218,254,996,730,145,543,553,586,490,329,128,504,741,606,176,554,391,
359,659,312,885,975,403,939,633,151,175,259,829,285,213,642,263,356,337,018,
432,055,649,255,772,513,748,157,224,865,747,199,314,762,199,701,452,980,676,
034,670,254,916,535,781,317,279,676,496,703,486,328,011,235,507,833,115,334,
044,272,688,947,087,085,114,776,988,160,659,585,219,346,075,785,802,424,940,
588,084,173,945,914,423,576,263,083,235,944,157,438,907,581,788,746,161,320,
697,399,550,062,808,425,149,812,719,442,694,654,809,774,707,872,167,645,801,
827,535,095,049,233,314,372,721,055,690,817,513,680,235,378,491,366,292,455,
861,789,746,588,386,381,017,060,917,572,683,413,380,880,837,417,485,876,425,
473,502,275,710,041,013,117,844,518,705,301,457,343,165,574,768,444,297,308,
016,222,549,656,486,139,615,031,264,826,400,095,301,775,092,600,564,737,840,
392,658,916,747,242,110,573,656,164,439,006,137,972,730,637,851,043,698,589,
420,929,874,748,125,842,985,787,465,338,441,489,085,360,568,046,903,806,125,
418,103,408,097,675,638,876,132,032,798,723,406,703,955,048,042,413,536,772,
436,914,928,697,683,534,872,414,743,792,230,239,363,955,309,717,921,344,210,
275,808,316,725,781,472,310,921,756,478,762,265,502,226,587,476,234,011,176,
729,927,437,467,311,055,948,188,150,732,757,652,464,843,641,123,512,015,742,
531,154,573,605,746,449,465,432,168,775,947,171,214,829,364,269,816,739,396,
579,640,396,898,506,759,586,926,065,483,269,128,252,772,703,055,099,674,651,
929,578,016,635,238,566,120,687,608,864,444,601,173,684,833,611,637,093,962,
726,678,771,239,514,255,630,517,735,956,386,516,022,949,033,736,042,661,886,
669,774,711,918,569,645,556,025,245,096,097,168,083,575,581,501,022,808,536,
769,840,392,994,707,834,707,103,931,389,194,543,906,468,896,396,126,078,252,
665,919,991,175,596,251,732,640,648,741,384,201,359,953,087,154,391,007,832,
165,055,973,655,664,619,589,807,655,002,198,124,248,697,849,010,613,853,331,
583,823,790,575,374,924,697,866,143,188,392,426,495,812,191,658,207,127,089,
588,111,132,336,395,878,586,870,777,196,946,880,273,808,492,777,510,792,028,
701,412,356,138,896,222,797,492,944,889,713,598,583,813,632,652,964,359,666,
239,202,294,358,523,022,180,377,762,074,945,359,244,034,165,161,827,585,915,
548,862,335,929,475,766,487,737,591,082,498,044,761,888,296,278,783,305,294,
096,231,514,763,638,273,211,280,931,998,316,782,900,171,737,346,079,336,702,
391,348,921,153,660,879,237,391,716,928,295,238,771,548,609,476,190,655,710,
890,354,856,346,518,569,956,672,459,995,531,402,401,136,271,236,567,215,754,
570,643,745,525,134,571,979,793,878,573,452,774,284,609,852,244,642,865,877,
042,668,816,427,394,503,225,081,853,775,661,593,662,589,872,323,610,030,975,
868,088,678,295,418,831,093,962,133,270,203,975,029,663,919,125,719,668,916,
647,448,960,803,448,508,970,863,397,769,071,935,948,501,772,352,363,806,526,
557,938,955,690,199,615,946,798,435,569,450,796,997,012,798,182,807,467,024,
835,605,026,992,832,204,208,193,669,977,878,855,669,551,088,292,664,279,794,
779,633,941,358,024,418,735,169,667,805,725,374,986,989,352,380,232,424,580,
453,717,545,247,619,853,860,266,962,142,265,499,623,954,617,988,347,001,995,
422,231,935,294,627,264,525,084,670,405,220,721,259,301,782,912,925,437,849,
522,498,537,831,700,954,643,634,819,604,496,302,515,177,033,260,189,438,912,
635,145,025,815,956,164,791,712,081,784,649,979,726,992,223,658,957,246,386,
968,834,794,261,647,075,983,954,018,651,562,645,490,006,494,577,051,695,285,
014,150,097,302,223,917,819,998,191,091,760,433,447,376,742,544,464,138,645,
979,862,330,871,258,030,435,784,693,142,192,248,180,022,204,956,383,137,965,
845,285,799,395,287,876,702,869,330,801,885,231,608,939,999,496,221,789,119,
496,117,983,882,246,664,685,665,924,395,731,588,616,078,569,011,707,946,069,
868,788,294,616,159,098,136,898,065,974,824,439,512,377,991,235,936,453,999,
701,487,445,329,826,256,428,976,327,276,915,817,305,611,934,751,554,615,046,
143,322,081,265,646,871,291,753,872,357,286,538,650,564,996,008,344,774,142,
389,215,184,631,927,128,854,106,364,906,718,600,665,618,806,904,297,239,487,
683,711,315,278,450,489,404,026,648,282,475,673,588,584,679,916,277,708,304,
169,751,943,019,393,614,008,993,265,408,151,030,283,119,933,860,922,962,047,
321,576,924,473,204,660,346,591,232,908,982,701,369,825,340,575,709,793,278,
213,840,761,036,711,947,606,182,384,627,884,135,098,698,165,122,627,842,155,
523,171,768,765,095,375,728,723,384,186,579,290,197,005,816,598,401,064,456,
438,176,325,792,989,823,931,053,974,205,329,899,896,127,761,049,249,686,435,
679,912,099,329,199,215,984,407,194,466,640,995,905,444,490,061,366,270,992,
935,490,135,354,618,405,974,051,901,752,902,221,358,575,930,708,636,434,954,
770,808,652,919,170,073,267,549,760,614,014,158,367,322,778,204,310,931,887,
224,620,871,483,294,918,558,138,725,301,943,113,619,609,933,389,332,838,210,
025,450,686,597,966,811,490,482,586,351,809,217,798,047,143,141,630,877,891,
469,872,931,853,530,261,678,949,747,477,930,154,022,872,373,100,776,437,408,
686,931,165,491,006,476,703,053,414,872,036,142,161,892,024,634,825,902,882,
733,311,008,890,192,617,277,356,630,947,432,068,572,421,261,223,658,965,409,
044,608,635,881,932,989,663,471,594,556,661,148,914,003,981,529,872,691,260,
454,937,125,157,414,345,815,664,949,553,261,515,695,034,437,620,450,709,170,
038,566,396,049,457,171,260,215,441,078,871,257,335,405,872,006,134,499,578,
375,131,203,294,474,716,377,495,428,841,402,627,194,495,216,392,231,566,639,
681,247,322,386,001,074,695,105,629,085,267,446,164,278,944,423,458,016,972,
014,160,124,263,579,328,774,447,122,194,187,133,349,233,708,467,871,596,877,
044,201,864,220,338,873,459,227,540,866,893,447,593,802,661,310,669,650,668,
968,968,627,069,133,708,445,880,660,414,307,715,310,345,334,819,447,550,800,
979,707,450,225,749,671,108,269,833,196,529,158,755,670,190,486,233,552,318,
182,390,708,440,051,801,987,472,839,273,846,064,117,954,511,529,699,001,727,
616,513,095,573,212,219,188,465,026,223,748,715,021,301,771,803,351,710,046,
097,759,708,090,836,501,844,546,843,698,722,869,112,885,601,546,095,198,585,
485,317,455,089,174,012,418,303,994,097,358,299,673,869,150,132,485,576,846,
534,334,114,314,867,252,561,387,159,299,981,074,324,651,274,984,858,460,504,
962,001,696,595,880,764,866,983,023,552,699,601,861,908,395,578,368,884,767,
174,751,415,414,701,944,657,919,099,197,556,718,869,341,447,261,457,894,082,
657,670,498,008,523,867,889,248,468,686,492,287,482,255,867,435,198,117,343,
061,391,538,551,512,223,701,221,325,668,113,103,965,113,465,486,708,714,823,
415,265,446,350,547,432,160,226,500,612,710,850,754,536,858,469,230,767,750,
687,588,963,511,015,666,859,341,018,624,351,124,792,500,856,716,586,131,627,
994,048,735,910,243,696,770,853,647,986,224,472,088,208,201,123,427,757,961,
593,772,762,848,426,379,714,486,272,576,092,416,222,226,315,268,450,514,965,
462,417,043,412,318,557,242,253,194,805,123,353,109,532,384,702,294,158,829,
451,055,193,372,956,920,506,297,409,256,701,524,230,867,850,625,062,655,681,
972,260,697,253,718,720,673,018,271,115,331,539,777,777,016,897,886,478,035,
274,279,888,304,741,977,378,847,755,855,141,067,909,431,067,687,763,127,766,
529,452,244,842,713,080,297,876,701,256,437,850,492,764,398,243,460,360,699,
345,161,890,075,948,512,558,739,215,574,074,773,284,313,518,983,529,447,691,
470,510,950,470,313,739,053,599,760,328,031,899,380,841,766,752,646,125,326,
761,761,235,914,010,881,532,668,439,750,490,216,730,921,650,661,069,651,729,
430,886,238,170,467,564,181,319,610,965,215,199,584,714,437,696,607,434,569,
969,873,378,907,381,492,713,546,351,363,048,639,256,471,744,288,843,454,052,
891,622,295,973,064,550,428,204,801,174,806,240,483,064,500,088,159,829,733,
510,128,753,549,417,490,260,916,559,970,665,534,958,896,291,097,155,530,691,
286,089,433,242,203,076,579,586,098,825,958,354,429,357,230,263,399,204,842,
511,512,820,746,478,873,147,966,167,993,382,989,929,599,241,022,967,897,036,
155,094,022,734,755,648,174,899,284,980,408,397,572,224,029,531,602,238,813,
577,538,754,173,151,034,751,264,043,557,679,344,567,785,638,528,683,711,184,
568,979,021,027,653,388,959,615,327,082,976,993,428,585,321,843,119,522,865,
092,184,114,475,608,909,341,390,361,451,168,821,491,760,725,452,730,956,384,
239,678,128,710,339,384,181,522,302,619,962,545,514,348,383,391,462,071,607,
667,441,914,240,929,903,801,062,251,283,082,477,870,651,355,161,841,716,235,
796,578,318,213,313,721,529,036,194,877,844,740,137,490,935,820,186,002,854,
900,775,656,281,297,908,337,956,956,212,399,470,337,588,202,872,707,567,000,
364,057,699,984,830,207,338,691,434,212,203,621,844,219,117,709,685,625,958,
745,479,961,713,465,885,531,906,953,962,398,470,657,606,901,663,355,390,042,
953,246,739,624,581,154,285,214,322,354,209,081,415,842,846,884,932,644,630,
634,536,501,655,450,210,294,610,589,861,055,660,524,815,233,214,447,081,447,
736,620,710,392,474,502,716,019,895,341,855,115,573,113,951,952,767,892,527,
655,500,505,815,864,470,636,281,836,481,016,612,905,129,524,193,906,573,148,
800,656,736,723,954,282,143,251,311,026,787,165,576,728,459,483,474,553,508,
816,694,361,945,053,282,701,651,294,604,495,119,261,054,135,562,428,048,013,
683,130,355,964,437,238,641,015,498,547,188,864,875,382,218,119,122,072,398,
374,695,721,900,011,709,878,146,836,632,874,011,135,242,699,523,722,185,011,
314,282,038,683,619,681,372,871,481,731,164,877,791,318,720,021,071,048,672,
407,116,512,080,537,157,924,048,141,795,101,789,588,998,463,103,517,011,739,
145,335,547,275,459,624,794,622,977,837,303,976,814,199,607,426,207,508,331,
846,428,635,640,077,982,708,792,515,466,420,668,964,208,496,923,821,004,830,
118,140,526,211,896,211,190,381,051,808,501,883,133,118,204,682,705,902,054,
718,188,474,955,238,932,919,328,854,014,174,059,121,792,610,996,264,674,977,
834,366,020,681,265,105,130,150,738,619,068,088,552,244,508,105,100,248,566,
476,209,667,769,163,744,134,941,504,680,497,955,849,464,151,176,431,664,899,
616,958,815,411,667,589,577,559,876,757,248,038,004,877,575,961,112,436,772,
999,878,883,012,027,431,078,539,834,324,110,074,589,373,466,402,246,573,309,
798,052,328,922,539,019,107,189,751,403,480,430,471,408,258,344,813,406,854,
986,537,121,284,604,857,066,129,245,534,801,938,358,734,429,314,120,397,550,
620,312,600,423,846,362,855,129,921,200,895,002,579,266,161,438,468,112,361,
860,737,323,129,226,478,828,426,405,329,962,137,786,193,896,880,494,000,177,
392,966,988,612,696,488,930,217,614,127,285,977,247,352,728,776,676,469,360,
702,899,945,137,652,836,115,341,553,793,771,073,728,715,046,100,685,878,313,
615,519,374,293,986,703,621,786,951,508,009,311,904,752,920,397,030,094,210,
516,719,209,474,368,134,708,261,470,895,192,024,318,184,673,718,844,033,823,
779,150,672,541,868,907,269,582,789,819,847,562,930,760,537,842,960,657,509,
157,021,370,164,532,869,220,915,706,587,011,453,060,315,296,688,822,215,230,
334,506,656,809,589,469,636,573,225,953,935,782,973,493,244,290,550,076,564,
524,480,658,828,662,721,371,407,637,466,024,978,942,086,185,410,741,890,715,
359,629,154,356,594,421,861,032,863,070,323,345,422,734,139,121,268,722,718,
498,187,586,370,163,650,467,689,226,711,524,095,521,173,371,416,770,661,672,
006,747,616,352,730,354,527,384,012,211,058,933,721,604,918,084,436,354,613,
061,697,340,522,103,584,339,907,863,511,621,289,535,823,091,444,159,907,385,
352,623,809,257,179,806,770,401,280,526,614,588,437,600,802,001,801,119,047,
846,948,427,449,223,139,511,110,403,071,840,103,092,863,111,315,092,607,583,
772,274,785,679,994,543,999,455,884,588,229,259,723,879,912,958,514,838,294,
072,308,178,558,175,465,318,646,940,443,595,883,176,130,641,827,365,909,734,
438,683,330,992,352,764,819,927,189,219,980,537,789,713,735,761,770,526,708,
740,546,371,539,102,340,839,130,060,246,131,621,302,168,680,408,367,607,651,
572,938,301,706,680,934,776,982,514,899,937,248,591,585,854,940,849,569,863,
415,243,064,507,588,452,314,240,344,671,603,709,174,522,313,954,490,592,579,
129,064,315,005,300,270,897,265,009,674,101,995,797,405,592,586,573,390,893,
547,680,485,881,653,118,874,573,324,528,461,808,597,432,751,111,666,708,451,
212,264,252,529,267,376,655,560,813,327,222,587,522,035,010,679,116,684,337,
575,083,900,529,064,527,787,670,297,285,601,355,999,135,615,131,235,176,500,
475,585,939,465,314,033,231,894,517,824,530,037,056,430,676,489,232,187,729,
816,373,005,478,676,218,499,770,695,245,793,643,864,516,757,415,686,180,289,
704,306,828,047,782,562,093,874,742,856,969,232,205,628,007,997,399,589,818,
887,511,388,111,338,220,865,226,102,196,122,846,556,834,509,036,441,008,264,
898,167,077,644,184,500,178,218,260,782,191,636,534,560,011,646,844,302,490,
683,252,874,312,274,433,753,346,485,448,845,791,513,084,905,353,198,579,924,
163,329,779,880,154,670,012,838,296,501,719,309,096,227,875,554,240,277,477,
261,130,243,837,044,157,750,491,812,470,051,193,028,778,094,160,002,906,675,
036,063,201,626,274,803,433,147,269,052,520,024,134,148,132,818,533,698,219,
099,228,681,524,449,229,917,039,882,126,523,985,609,265,821,130,546,453,354,
469,280,401,743,399,533,244,382,962,690,911,725,986,636,254,202,734,885,912,
357,123,498,424,525,949,687,367,304,103,778,937,855,774,096,845,590,038,073,
938,620,025,019,396,146,555,682,331,020,205,631,118,298,502,591,838,694,403,
314,609,165,568,384,287,844,574,818,516,762,211,682,983,010,467,098,109,924,
487,713,589,667,505,997,556,364,160,554,528,205,822,485,117,258,014,557,600,
250,328,591,172,291,607,162,969,861,996,036,665,678,117,371,135,577,150,134,
418,680,360,748,010,706,054,005,783,088,358,562,731,133,795,958,881,196,005,
624,506,625,425,953,724,910,897,199,845,623,747,128,861,728,212,999,491,952,
806,264,611,294,465,017,323,206,658,322,396,067,596,432,270,717,073,347,557,
670,939,466,958,400,367,155,942,234,567,630,721,060,229,062,556,515,250,117,
933,701,593,857,169,556,623,713,753,638,776,229,944,415,598,406,861,959,166,
587,254,078,287,647,882,247,023,597,600,103,436,500,631,667,237,768,575,466,
390,539,567,900,231,894,038,501,905,001,856,293,280,064,009,235,387,399,543,
405,203,165,083,557,051,909,131,261,717,298,911,801,065,148,148,116,592,623,
745,365,817,085,546,955,143,325,187,354,979,867,486,859,892,776,610,610,026,
181,332,646,293,343,021,851,186,116,947,681,648,846,369,700,847,616,076,978,
879,390,367,824,626,362,237,402,730,753,068,231,974,360,487,771,290,359,028,
837,878,185,303,243,459,272,083,158,354,130,039,603,241,590,490,958,618,303,
537,876,641,939,608,778,654,978,143,699,379,458,944,837,757,865,400,841,669,
517,663,637,438,910,235,731,338,961,148,380,621,650,023,179,163,660,863,214,
091,520,976,599,573,719,693,240,020,771,594,225,002,877,214,756,967,672,792,
341,872,931,607,589,686,810,780,299,058,715,100,133,880,812,410,099,680,726,
437,766,601,022,340,399,357,403,550,104,618,299,097,880,033,693,089,757,287,
500,140,012,348,286,361,093,819,659,418,073,944,658,260,839,503,247,392,726,
518,356,781,195,487,533,990,084,698,000,267,605,238,028,378,019,266,945,066,
615,790,588,104,521,337,634,334,342,828,738,951,221,609,127,578,476,783,152,
227,015,439,599,454,660,240,406,896,105,050,345,674,882,911,147,581,492,749,
015,200,172,581,733,691,030,419,063,892,592,829,083,267,331,649,396,633,095,
365,222,725,098,379,667,635,104,626,811,985,834,873,080,433,161,126,844,621,
670,203,607,334,670,525,728,457,959,399,423,212,218,602,003,309,784,312,534,
518,150,892,380,840,721,383,193,018,872,862,119,081,335,585,124,985,728,674,
978,425,281,330,576,210,280,620,970,776,601,289,231,471,072,045,785,695,598,
690,788,288,096,229,865,802,774,201,573,510,663,986,439,434,560,040,772,080,
147,419,658,550,059,296,611,362,135,510,019,402,164,600,475,070,978,685,337,
282,510,814,385,622,100,475,191,611,621,935,327,860,562,738,717,963,767,083,
685,171,877,577,485,363,055,692,576,549,034,934,981,700,979,323,210,203,360,
349,937,328,766,544,645,224,579,916,166,449,509,859,974,356,781,003,316,408,
951,970,625,077,015,649,118,882,250,641,140,022,647,685,916,787,938,679,579,
563,357,839,108,804,573,113,636,026,500,914,592,477,077,286,008,256,223,381,
266,836,587,422,364,670,605,748,012,072,892,020,645,003,060,850,474,547,318,
592,380,079,606,136,975,943,051,389,246,764,464,600,115,029,326,571,824,306,
888,032,637,266,899,266,916,502,999,505,792,394,117,249,482,366,134,472,326,
714,935,932,387,458,465,817,191,266,143,776,637,578,491,246,338,814,369,895,
044,659,800,716,440,649,155,206,814,353,914,337,669,822,374,272,836,403,144,
567,378,369,794,664,500,338,490,640,592,872,794,368,961,439,628,730,618,772,
040,242,494,094,885,509,117,178,009,000,826,878,950,582,849,157,809,352,282,
483,210,254,993,493,527,356,231,100,695,599,842,779,824,650,390,042,643,652,
762,009,458,459,013,243,599,620,957,378,336,950,987,555,026,620,336,329,635,
866,908,247,495,845,264,333,165,045,689,647,582,480,694,437,855,201,936,299,
864,215,135,915,856,561,288,361,037,820,379,190,504,482,618,372,944,706,905,
489,506,226,012,490,082,919,874,016,099,598,430,550,831,617,560,678,150,101,
556,370,454,995,693,193,765,114,691,196,579,870,737,663,759,173,672,605,598,
583,641,991,561,180,443,563,350,110,625,011,256,717,828,378,304,946,881,406,
862,337,567,621,210,915,985,150,116,778,833,134,665,860,418,021,558,368,736,
598,585,798,946,720,414,713,268,891,474,108,540,729,022,860,420,666,479,431,
566,411,630,299,942,042,208,052,602,613,893,801,627,688,915,181,291,387,753,
779,612,567,087,343,049,736,394,187,880,260,692,548,858,630,550,615,827,419,
319,683,515,636,391,527,556,353,495,054,145,036,328,453,438,984,883,937,559,
293,317,978,108,149,628,328,090,530,524,094,765,503,483,036,870,914,283,118,
515,101,731,532,388,246,320,184,223,583,080,763,880,299,691,648,775,113,925,
386,333,425,751,069,998,734,021,505,175,333,343,929,993,406,693,731,153,626,
837,344,132,877,559,729,557,852,415,134,810,833,114,551,343,027,176,806,720,
131,999,280,435,262,180,844,554,351,589,498,418,302,730,363,914,733,552,733,
616,472,937,327,459,478,679,498,613,252,462,662,516,273,744,390,065,716,972,
736,076,161,742,317,036,575,004,326,335,883,153,217,361,629,044,706,279,538,
838,266,832,440,294,571,066,426,332,675,680,512,794,817,864,755,056,580,335,
816,484,944,387,189,357,878,526,748,114,783,745,891,680,942,630,448,029,547,
592,742,015,295,473,006,782,281,229,340,372,300,505,510,830,553,575,122,722,
225,060,499,392,074,958,729,786,168,007,782,293,937,666,989,429,522,576,220,
117,844,014,238,302,679,917,070,446,539,693,923,774,806,747,648,247,736,721,
594,424,096,055,043,682,932,997,628,304,987,475,823,148,040,796,949,635,495,
062,998,863,393,499,788,693,654,725,041,419,381,286,186,721,249,191,846,962,
337,353,031,461,207,696,836,825,545,117,927,726,852,693,771,744,515,774,287,
730,665,775,146,738,422,835,302,249,748,540,158,315,244,993,497,468,504,660,
239,938,113,406,146,653,170,586,620,761,658,266,278,417,594,543,695,551,430,
925,923,963,449,834,021,115,230,683,622,339,025,277,036,039,268,373,420,216,
106,650,721,604,557,343,687,368,642,665,484,901,538,652,257,694,385,916,569,
293,119,014,063,666,460,419,934,813,853,285,829,383,629,531,046,281,719,260,
972,794,572,323,180,988,604,872,380,288,745,920,454,881,532,374,068,023,574,
606,607,410,234,204,475,393,930,238,582,970,009,917,813,918,539,039,257,533,
699,845,738,812,808,443,059,707,216,318,728,940,434,706,431,007,142,028,742,
120,212,066,882,255,918,725,048,167,716,344,674,468,858,243,565,879,283,548,
066,737,466,705,121,615,480,066,138,853,739,724,237,798,187,979,180,191,970,
503,234,846,728,777,307,705,374,450,488,073,105,328,136,336,748,471,141,641,
738,937,327,434,516,819,312,627,639,904,549,666,090,114,984,523,456,099,548,
849,217,242,010,260,595,005,622,526,225,888,654,218,951,131,168,901,301,501,
458,567,026,223,394,535,411,287,530,762,325,898,406,391,909,015,425,274,998,
246,404,771,872,358,514,070,882,327,555,121,637,308,957,386,606,259,863,750,
530,312,841,518,077,140,473,906,425,631,702,804,265,796,527,486,097,448,573,
796,228,780,420,709,187,584,781,041,157,819,129,635,547,091,755,957,510,036,
593,664,144,071,552,797,019,588,668,025,496,668,818,524,074,851,323,943,720,
901,294,418,010,050,751,316,003,589,577,063,250,657,443,606,472,556,081,959,
229,377,153,101,723,941,312,989,387,263,126,128,769,363,869,409,056,783,924,
872,395,501,527,843,971,607,200,062,455,234,528,185,637,000,725,193,118,435,
458,593,036,194,854,093,158,076,512,350,133,459,073,075,208,193,878,599,258,
606,825,163,736,901,148,449,035,826,232,161,096,616,448,202,167,238,113,035,
187,484,182,857,915,943,783,586,553,417,945,259,299,478,669,056,486,489,551,
515,884,334,557,786,379,210,082,211,611,800,328,527,710,565,240,470,621,052,
605,650,163,786,421,711,126,294,116,967,273,496,111,587,070,553,367,789,843,
881,637,968,332,101,473,763,170,780,938,992,634,730,364,225,289,947,469,949,
347,351,253,907,809,662,953,723,198,841,853,142,359,004,065,465,159,421,373,
149,066,086,165,762,920,287,044,902,035,405,041,564,414,916,422,749,291,856,
013,577,378,048,274,007,959,573,287,944,674,048,031,993,248,933,988,009,225,
159,894,230,999,795,280,064,917,644,560,201,463,599,176,274,111,131,085,360,
863,580,772,635,020,341,318,509,148,559,043,237,405,445,258,107,120,755,379,
779,989,735,322,834,362,947,731,118,511,642,303,036,888,061,722,349,053,467,
082,504,420,699,292,573,160,109,745,225,962,086,433,227,170,174,147,653,247,
338,415,153,312,351,999,609,884,854,141,081,008,966,252,170,875,224,704,921,
291,822,167,043,302,556,497,688,918,973,123,049,256,071,598,608,054,169,328,
810,240,672,098,570,421,182,836,112,727,093,943,414,314,872,772,679,739,569,
364,432,743,002,207,480,198,550,189,358,626,360,531,133,253,605,673,914,465,
407,939,808,262,289,658,585,361,600,151,398,034,507,644,157,675,579,859,212,
776,075,457,981,530,826,095,115,540,982,443,633,114,958,320,011,994,808,911,
802,164,966,510,479,520,871,039,427,426,296,638,502,191,735,389,074,646,769,
852,824,008,353,150,781,734,060,180,137,208,758,223,319,805,377,330,540,861,
058,715,179,549,855,578,416,382,965,302,557,666,410,557,060,559,776,889,950,
112,901,522,923,026,033,112,399,959,434,299,126,776,298,247,032,488,213,845,
804,073,160,725,851,563,148,529,719,884,397,166,968,068,354,120,277,299,614,
289,547,480,074,501,612,298,391,552,292,572,056,406,344,791,659,132,230,745,
266,400,403,996,403,445,030,792,605,336,471,419,185,022,546,163,572,232,815,
115,615,268,699,686,861,761,194,765,617,066,553,733,222,457,401,863,995,880,
327,548,204,975,045,316,402,364,504,029,464,135,207,181,264,936,258,411,993,
131,496,269,410,824,184,880,715,119,281,989,341,305,868,272,066,638,249,788,
290,738,977,380,844,033,157,292,593,517,893,858,410,183,763,996,200,080,020,
666,758,511,878,950,886,502,458,177,035,539,582,615,086,624,464,018,331,898,
141,206,172,793,526,767,787,915,124,357,802,499,244,352,545,658,371,531,146,
479,023,518,296,152,673,728,497,402,729,727,491,764,641,263,637,789,266,696,
691,961,888,227,657,342,919,485,195,120,482,332,123,003,989,590,730,377,680,
595,555,537,388,337,119,142,755,897,698,423,432,175,013,562,141,546,528,432,
187,808,970,414,164,102,013,949,963,275,780,410,396,012,667,411,384,662,716,
487,912,287,772,447,177,739,826,665,101,716,969,025,094,879,215,233,246,080,
554,289,783,099,858,159,637,376,652,151,183,417,929,194,250,300,163,508,761,
153,051,440,936,786,274,737,212,459,836,335,131,190,433,079,836,482,890,116,
906,571,372,732,811,639,819,549,150,264,828,774,145,436,524,133,862,950,652,
297,532,448,277,142,423,606,327,094,619,592,243,652,359,161,450,404,826,763,
182,845,958,193,933,853,025,260,727,770,824,455,604,695,234,958,270,278,477,
244,960,074,009,450,633,241,935,632,536,096,095,078,899,396,886,033,924,355,
582,543,954,169,638,908,623,942,620,955,642,209,083,995,547,663,780,604,884,
212,762,224,062,319,842,664,644,150,898,965,762,235,039,994,737,068,452,594,
390,056,729,248,276,562,801,549,429,503,285,709,540,840,592,363,371,200,963,
998,609,699,042,076,021,652,717,505,660,915,596,845,340,065,635,472,081,989,
357,361,258,023,534,295,422,162,845,394,157,779,671,811,993,093,143,847,359,
300,220,454,248,723,276,023,876,693,357,392,287,818,193,710,235,202,034,502,
495,180,912,101,239,444,738,193,831,041,059,647,361,976,706,871,710,641,688,
483,790,227,799,966,995,961,791,128,387,978,375,362,960,431,353,194,349,617,
452,059,577,457,847,780,057,163,098,916,112,575,173,812,441,964,224,407,272,
777,188,579,153,485,874,312,101,547,736,668,265,720,047,831,611,550,582,080,
301,757,207,833,159,513,834,893,218,395,959,050,488,381,775,007,814,825,246,
592,245,215,161,889,990,779,133,464,507,988,039,287,567,773,415,027,173,228,
379,444,376,294,896,744,822,411,773,698,661,217,794,349,025,173,286,951,350,
287,752,137,680,753,131,807,276,291,363,673,796,234,083,230,829,217,143,563,
543,438,473,116,603,665,917,432,761,850,002,742,245,939,652,008,288,788,561,
933,545,220,873,957,412,562,278,839,220,432,996,371,887,371,344,138,177,609,
083,774,994,174,167,896,536,703,280,368,086,038,348,989,517,973,395,229,659,
746,585,838,247,332,380,150,657,392,058,618,993,414,175,552,334,022,373,357,
772,779,976,551,026,735,147,968,013,834,060,602,048,361,191,334,533,587,391,
371,441,294,869,665,514,561,733,984,986,020,996,815,014,381,454,724,234,151,
413,812,720,785,031,734,726,743,037,786,844,467,991,311,899,418,841,418,081,
828,799,755,445,487,706,593,289,297,057,328,599,553,579,650,003,273,040,761,
116,836,411,737,831,605,156,576,093,734,751,064,796,958,778,126,077,482,507,
735,852,528,747,228,027,487,212,782,652,931,400,013,074,422,487,974,544,847,
076,585,739,574,052,429,845,677,229,416,688,441,964,362,401,207,187,602,385,
446,924,735,255,212,496,186,040,371,701,951,177,920,602,588,353,552,553,773,
342,984,805,934,866,165,686,703,986,179,346,472,543,632,671,444,334,078,938,
799,101,521,886,365,068,195,155,903,232,265,068,397,979,632,627,043,794,564,
670,951,737,846,532,739,560,742,671,947,333,596,298,800,804,380,907,233,516,
666,209,327,825,154,969,989,950,342,716,163,041,304,485,994,881,648,804,386,
934,539,900,640,204,062,160,460,511,530,150,820,927,629,511,854,421,519,376,
169,752,301,319,416,699,028,272,496,915,938,453,705,134,510,649,928,118,393,
975,200,500,927,261,337,797,433,518,963,238,604,688,623,885,461,592,883,092,
149,243,995,561,601,499,362,084,441,421,270,586,594,715,929,615,581,317,426,
915,559,011,463,547,392,854,677,395,797,505,966,981,672,394,508,566,257,423,
885,731,507,297,688,105,630,966,163,129,222,557,804,495,155,275,874,361,888,
646,596,499,432,012,317,103,872,662,323,515,958,517,044,699,597,422,562,438,
694,852,557,862,089,852,956,726,456,874,710,187,564,326,138,747,875,462,998,
795,991,808,818,694,218,689,385,773,798,257,583,877,046,273,577,259,523,149,
206,495,589,691,679,195,330,880,438,787,873,098,938,996,101,409,378,972,516,
232,355,715,109,688,505,453,546,665,725,799,838,603,683,607,480,197,385,417,
031,383,606,150,768,386,660,086,568,079,577,898,542,967,597,241,238,308,445,
191,731,831,234,983,819,468,106,011,910,387,696,366,085,211,082,327,348,778,
376,603,384,744,924,030,048,489,042,762,889,340,901,004,103,566,403,835,091,
976,645,076,633,053,279,085,495,214,157,863,423,187,745,414,161,277,890,177,
016,166,188,079,707,884,550,356,974,316,170,352,382,108,403,807,674,678,397,
682,783,457,878,068,550,041,608,857,156,391,504,576,831,587,265,015,230,260,
216,582,201,263,126,516,375,925,849,601,221,580,890,617,848,849,226,214,812,
282,354,232,796,758,407,213,984,887,201,623,506,925,811,105,144,533,470,557,
473,262,259,854,872,337,244,568,973,955,783,803,656,243,415,614,331,395,790,
023,486,538,175,623,028,711,518,669,960,585,494,314,850,309,985,788,318,952,
568,582,830,047,480,666,273,856,594,156,323,987,082,026,562,394,922,273,345,
440,569,572,225,773,495,666,172,455,359,643,806,870,216,942,731,890,522,027,
844,940,287,851,615,596,867,233,775,059,780,213,596,415,097,392,206,448,869,
034,353,966,052,124,074,735,912,007,919,224,770,846,002,694,417,009,679,119,
595,751,473,703,942,482,270,003,965,229,072,237,962,743,515,931,911,276,270,
484,040,735,178,051,841,891,414,175,584,882,871,626,904,187,707,442,761,206,
670,053,075,705,404,493,632,571,776,126,130,175,948,514,265,227,543,713,454,
611,541,081,807,407,713,306,728,950,127,728,049,730,631,596,013,656,455,289,
528,690,873,181,863,099,041,106,398,737,244,239,797,950,885,854,439,135,408,
256,198,894,741,139,867,689,268,501,375,981,813,371,226,355,888,966,491,055,
932,351,175,971,657,294,932,562,417,697,459,821,234,916,999,602,155,891,929,
399,635,410,835,152,307,766,630,296,994,470,563,850,779,743,774,190,794,048,
380,335,178,609,259,249,706,456,908,348,407,612,116,123,825,398,306,355,106,
639,267,195,296,170,176,326,062,202,522,392,496,486,493,195,943,476,908,720,
908,018,153,463,524,306,951,068,693,947,735,235,260,267,889,534,159,077,567,
752,339,657,106,242,356,112,582,105,639,200,153,759,841,281,130,076,054,270,
395,976,148,213,012,508,514,263,266,370,370,241,753,284,754,878,303,514,544,
748,664,947,144,893,059,741,961,720,152,521,497,786,808,460,222,958,608,280,
257,386,437,121,038,243,994,893,149,783,606,906,454,009,418,816,047,805,581,
335,864,311,280,649,604,413,651,966,887,597,053,486,703,783,769,366,943,794,
491,614,120,143,564,739,626,603,244,074,044,235,599,855,425,027,767,339,567,
919,813,074,989,904,470,541,188,649,301,037,442,981,887,556,956,084,042,543,
821,932,363,070,659,919,512,605,162,225,315,548,578,681,431,572,619,152,686,
783,783,926,675,899,183,693,527,472,122,910,491,347,716,687,580,317,403,059,
678,590,885,192,110,857,205,680,062,942,130,836,168,371,487,412,743,426,735,
794,456,555,331,485,647,005,931,368,744,847,183,152,220,230,970,003,010,799,
335,309,349,757,320,315,700,341,568,818,011,669,652,840,090,383,586,518,728,
881,456,269,700,269,041,188,306,169,396,992,133,457,470,344,722,246,962,691,
561,124,411,630,160,391,478,993,185,811,533,599,740,233,289,988,495,817,828,
448,070,895,343,678,826,955,128,183,817,867,424,744,491,520,993,885,016,216,
521,698,015,902,938,726,633,266,557,366,391,655,216,750,509,798,560,823,224,
953,547,769,967,061,192,536,788,746,573,415,523,540,430,745,332,085,821,443,
174,208,766,191,404,179,565,537,316,041,995,572,471,221,877,973,641,426,329,
333,891,072,588,961,012,494,101,034,764,848,057,323,667,075,278,160,036,712,
399,395,357,106,142,220,137,922,625,408,120,531,810,431,986,708,417,160,575,
367,018,162,653,918,638,778,327,775,942,784,127,367,435,019,025,424,499,512,
531,689,237,665,651,624,933,778,049,520,974,987,337,817,336,195,546,250,088,
227,561,851,366,420,254,820,139,662,738,292,116,669,137,929,676,779,050,417,
894,211,176,358,240,304,765,640,749,550,404,189,149,803,918,945,896,314,763,
013,495,901,575,720,157,945,956,047,117,841,166,664,170,742,704,709,284,402,
243,406,483,922,520,294,738,079,364,709,520,629,426,359,180,844,836,681,231,
852,230,942,792,149,336,183,840,386,232,700,806,257,896,760,409,302,445,848,
983,405,529,096,298,800,260,587,858,477,970,063,849,756,520,604,564,660,062,
346,047,017,122,152,186,948,991,231,241,819,218,372,818,935,283,500,272,082,
981,617,686,981,927,273,653,701,566,512,452,035,612,451,553,978,671,739,973,
055,138,853,817,865,627,895,192,074,850,344,641,594,313,689,576,964,034,942,
722,986,705,592,790,463,530,603,747,561,426,145,293,724,630,917,103,005,229,
102,137,313,592,850,820,997,241,209,826,635,556,672,320,180,296,876,536,029,
219,773,168,605,068,222,621,999,475,068,609,108,018,614,325,304,232,026,421,
133,331,061,195,208,708,725,145,658,841,024,716,664,089,627,466,297,836,133,
573,067,517,290,211,538,529,191,798,828,181,247,080,865,660,380,348,969,510,
472,675,581,942,483,283,428,885,909,850,997,474,452,606,584,242,814,978,516,
818,100,420,791,843,371,878,063,791,515,889,468,357,444,257,678,409,927,936,
227,406,896,974,542,152,334,665,244,633,012,418,440,465,161,386,125,486,822,
028,454,541,728,526,852,661,776,497,444,176,935,519,759,822,592,958,798,452,
100,061,396,858,163,236,648,082,345,954,394,555,133,176,426,869,096,153,538,
606,660,418,513,750,259,852,910,539,222,528,051,226,076,079,741,876,445,078,
885,729,726,994,821,439,307,496,522,941,511,211,800,381,283,982,094,309,184,
821,193,513,303,972,366,659,991,156,131,103,141,493,885,577,401,646,073,737,
634,665,561,480,812,199,017,279,944,411,451,583,691,959,674,634,054,262,184,
890,505,802,049,023,843,587,617,126,459,856,046,035,973,454,293,000,041,238,
487,410,309,344,815,602,682,879,719,409,134,415,717,611,328,843,687,608,032,
983,217,653,112,561,408,441,114,483,409,308,713,465,556,205,719,856,501,846,
578,478,967,577,803,919,227,565,987,990,368,520,004,446,601,233,188,020,399,
704,546,508,134,180,329,848,060,945,731,297,751,596,408,659,016,625,979,092,
743,543,385,128,927,463,044,925,619,833,196,551,567,545,317,385,516,526,618,
544,210,779,200,513,746,751,591,330,865,100,974,882,694,413,532,157,895,700,
004,819,163,942,608,247,745,720,836,869,526,484,384,953,982,029,004,367,963,
389,011,804,970,754,738,902,258,590,911,031,429,367,599,113,340,939,527,705,
499,724,659,433,429,181,925,927,911,926,341,922,109,937,723,325,246,509,249,
676,827,144,120,802,887,294,965,412,634,937,748,399,704,613,016,042,180,507,
125,894,906,766,110,604,692,546,659,762,403,717,910,076,777,144,163,150,665,
383,456,285,248,094,757,056,265,353,229,750,652,791,638,869,132,267,992,251,
061,781,229,074,492,852,898,855,805,298,233,340,220,107,573,097,167,453,678,
869,814,403,376,189,995,768,935,276,752,092,482,275,036,449,309,537,698,233,
717,695,051,953,374,165,047,183,509,490,421,929,143,622,475,422,506,629,928,
517,029,101,971,011,535,056,617,577,438,509,939,729,582,010,068,145,472,555,
754,136,545,146,540,146,988,179,179,678,252,418,543,396,813,733,053,745,683,
002,893,242,118,724,696,489,123,031,042,589,762,636,128,602,964,382,866,714,
694,108,761,686,531,399,657,059,960,096,825,975,849,137,754,454,061,653,931,
026,679,417,493,364,862,023,106,603,658,583,594,611,609,575,153,477,712,869,
047,810,397,752,712,768,120,204,993,903,711,205,734,296,469,437,959,245,165,
697,074,794,408,531,289,750,965,535,248,700,998,383,705,384,217,223,696,986,
573,743,274,730,363,416,178,973,979,998,361,585,433,804,865,628,345,761,481,
913,549,682,881,309,784,519,884,861,709,426,523,808,670,893,101,147,655,231,
459,803,160,438,409,706,535,332,210,370,316,677,135,532,158,650,083,162,686,
562,387,763,954,865,751,516,875,048,040,303,816,610,646,575,039,503,785,745,
749,770,601,469,712,121,471,395,227,020,628,715,304,449,984,602,992,500,421,
436,057,350,503,951,640,118,784,945,691,519,911,243,052,472,264,822,850,995,
663,016,173,139,883,522,063,849,473,724,702,752,921,929,172,887,497,799,459,
511,729,911,345,196,560,891,337,762,880,717,906,942,532,370,610,617,942,664,
952,320,949,531,098,056,303,524,746,969,728,188,320,775,622,554,096,423,149,
753,730,872,175,290,799,386,342,784,916,990,482,502,521,417,627,938,752,456,
713,367,964,023,098,972,851,534,011,472,249,813,733,647,666,703,903,196,430,
149,253,213,524,483,487,547,210,433,627,548,183,952,590,431,613,037,987,512,
035,590,742,874,550,006,311,837,909,803,489,019,618,402,811,455,423,856,822,
007,689,743,220,649,632,840,623,913,038,231,411,865,404,028,509,577,283,665,
359,730,289,549,319,126,423,171,928,198,748,126,369,572,261,791,595,480,019,
496,024,587,116,822,288,502,634,792,402,040,372,709,329,453,468,819,495,365,
361,179,436,012,439,517,936,373,535,220,268,686,691,241,856,807,093,697,375,
826,901,842,160,648,772,371,936,821,784,348,824,140,016,335,670,132,315,043,
141,415,164,126,125,256,275,716,653,040,397,199,995,810,177,053,091,633,598,
571,232,290,070,541,070,924,574,422,104,024,912,962,516,827,887,045,759,846,
131,614,748,061,049,774,762,144,013,622,136,121,292,059,001,791,644,695,265,
075,894,228,296,602,875,254,091,560,526,100,627,798,641,167,507,557,160,236,
995,648,154,646,274,655,883,462,483,228,102,171,609,915,886,788,286,321,246,
017,176,698,160,203,990,448,578,207,976,289,996,897,256,466,768,263,387,777,
211,598,581,454,574,150,491,945,584,913,499,481,169,017,564,455,593,792,562,
349,469,015,148,989,796,134,301,978,939,383,830,566,762,941,080,647,011,714,
092,917,458,617,324,778,800,105,357,463,683,762,750,618,628,511,184,612,426,
198,848,057,216,902,207,392,970,857,012,243,108,477,683,858,663,607,844,838,
868,294,993,953,425,376,161,495,293,672,776,860,140,197,098,400,045,825,279,
224,613,202,821,785,966,707,003,966,797,711,433,216,528,470,186,787,818,694,
319,976,256,876,365,477,997,331,224,975,915,316,621,824,711,972,474,601,642,
201,575,343,538,062,625,031,307,817,796,340,880,654,131,738,305,321,948,852,
232,681,257,694,274,875,373,649,028,684,231,617,889,595,671,823,279,316,289,
631,293,555,106,360,976,954,030,263,367,748,716,539,616,801,564,774,684,385,
711,800,106,681,684,735,347,835,249,707,692,440,161,371,338,705,328,542,116,
484,678,252,802,393,532,124,948,262,482,089,633,979,424,606,657,763,447,289,
596,206,490,447,913,447,856,814,906,578,568,086,362,235,184,643,460,520,485,
095,720,604,871,634,325,308,466,464,507,157,281,501,057,248,959,854,219,615,
847,601,831,525,918,439,712,271,117,001,234,849,426,262,328,772,136,137,964,
845,510,854,768,487,782,503,707,385,355,741,517,047,411,126,140,507,731,379,
743,642,003,940,914,971,081,615,131,813,396,721,643,978,055,988,165,160,817,
937,609,177,894,151,394,492,573,531,309,387,663,229,015,309,936,468,480,203,
320,834,599,945,911,842,489,848,795,632,901,611,754,909,587,125,273,677,536,
315,639,335,777,190,627,882,351,161,746,210,233,449,011,273,091,774,939,601,
434,274,143,762,456,269,172,287,170,685,825,010,783,569,705,029,621,564,142,
787,454,087,264,239,510,260,602,891,224,302,460,590,891,900,939,795,660,603,
663,811,105,922,790,822,043,521,428,501,069,205,425,491,923,642,967,301,444,
115,029,532,747,501,208,256,887,881,157,972,660,250,963,531,755,507,048,506,
099,599,447,908,935,249,977,342,868,414,901,748,805,960,623,246,477,241,012,
461,712,532,214,279,895,185,559,425,534,027,706,454,897,505,930,149,337,104,
197,551,033,269,454,809,565,440,112,497,028,512,799,872,893,604,162,960,250,
129,738,796,948,873,254,093,231,150,218,545,800,493,627,532,963,568,362,786,
867,421,341,341,387,986,765,584,466,488,357,141,379,235,798,344,149,102,542,
977,433,290,323,590,795,497,975,778,993,749,274,777,304,210,628,549,563,436,
973,117,648,685,145,993,933,786,592,022,594,134,527,885,955,714,338,226,804,
907,002,923,024,436,576,323,316,401,924,114,225,573,224,353,743,626,700,929,
903,173,862,522,394,360,999,857,183,125,739,335,085,408,975,641,513,262,187,
158,549,360,243,803,653,916,311,237,325,224,936,478,500,687,372,291,799,567,
746,977,723,816,521,375,119,109,483,633,861,514,440,886,970,080,585,343,989,
909,494,148,209,882,662,518,956,088,357,140,665,998,723,921,177,098,461,261,
222,351,301,783,588,438,611,175,213,594,192,780,725,846,123,834,038,433,121,
117,184,749,921,449,609,634,200,015,263,962,318,600,834,116,670,536,101,326,
315,199,766,038,256,153,230,805,065,539,749,144,053,897,528,868,582,942,812,
052,812,652,359,086,048,033,646,613,884,277,444,379,826,298,192,213,894,314,
998,470,027,364,007,460,797,851,208,514,187,235,339,411,903,649,253,398,725,
545,984,760,927,293,367,649,493,298,544,368,422,970,020,022,855,871,722,805,
829,609,495,999,532,960,889,545,087,001,232,381,294,723,284,284,426,702,177,
054,377,234,062,664,741,855,820,414,103,988,323,947,764,817,484,131,601,896,
232,247,909,469,748,222,534,886,722,040,780,019,953,381,063,087,241,321,158,
498,704,329,258,375,562,006,809,844,134,126,464,712,417,890,496,365,988,252,
908,229,007,778,318,514,755,032,653,063,063,825,926,769,710,814,795,775,657,
953,779,109,887,594,355,097,433,810,781,015,842,302,557,198,513,155,410,756,
086,736,508,040,485,466,911,821,226,399,309,795,692,197,885,059,160,892,418,
894,623,016,728,308,237,756,307,251,205,045,214,627,006,122,978,723,499,716,
043,605,985,260,363,795,891,977,231,762,481,447,889,804,703,355,296,496,168,
529,404,767,951,248,411,865,440,687,083,162,206,937,240,507,327,332,282,706,
847,250,017,506,112,989,191,623,788,992,612,553,612,843,783,984,593,809,476,
993,135,646,370,623,062,034,645,791,972,174,830,091,801,750,844,435,341,766,
941,545,145,443,400,345,462,166,292,301,688,546,659,092,520,628,798,750,591,
399,385,376,520,794,108,998,444,959,970,810,818,674,907,528,155,492,034,721,
747,575,807,336,164,136,473,777,725,934,976,804,496,766,765,807,708,191,744,
448,607,611,708,943,594,202,921,740,873,892,182,249,570,805,507,996,532,403,
261,585,901,677,884,444,018,728,870,515,323,290,870,459,699,004,127,549,523,
415,284,647,372,281,998,049,227,791,050,530,643,470,531,633,332,803,713,088,
016,981,139,123,978,746,466,828,558,413,914,120,288,248,345,893,669,053,689,
413,861,198,472,205,426,814,312,714,322,109,842,325,702,974,101,530,619,687,
858,618,450,635,603,176,273,863,293,772,881,720,209,523,819,038,886,839,111,
155,423,136,587,355,321,319,058,713,892,594,009,192,306,916,399,638,290,500,
240,655,271,537,620,867,843,868,617,315,912,753,037,722,739,102,460,279,057,
768,657,866,714,834,357,970,147,575,365,612,145,985,165,360,711,061,895,543,
278,883,478,770,917,032,794,070,089,086,213,659,568,808,253,515,055,169,230,
305,384,618,563,121,575,541,791,358,427,728,063,621,939,546,759,649,571,895,
797,086,748,403,021,682,875,662,910,089,851,203,437,581,272,769,073,340,569,
334,734,740,776,135,894,403,340,150,117,807,001,609,528,813,242,217,548,540,
382,118,553,177,844,800,267,533,358,594,711,674,016,128,442,308,040,028,175,
601,152,149,915,985,631,043,154,941,607,734,019,901,841,416,512,069,732,393,
448,490,117,774,636,708,559,813,733,421,109,633,000,800,197,715,536,055,879,
398,879,193,624,468,437,429,285,027,069,421,313,666,923,078,604,971,948,470,
086,358,536,995,800,044,793,707,332,594,710,206,300,632,754,915,593,791,914,
903,120,697,339,468,336,968,817,413,000,699,646,202,539,651,159,058,748,196,
364,223,188,969,319,889,077,105,642,680,171,777,598,180,310,025,932,765,605,
921,453,462,624,378,372,194,003,771,638,848,236,211,380,885,243,341,468,473,
919,469,296,092,866,521,501,505,859,242,538,155,693,101,115,469,701,125,208,
906,226,158,393,713,433,150,967,089,930,783,067,856,658,670,451,177,399,405,
239,030,398,690,716,103,442,288,904,747,966,708,757,478,895,658,274,998,690,
249,556,950,464,198,697,233,779,769,514,723,666,514,015,725,406,352,516,358,
078,529,993,262,595,579,628,252,281,033,729,752,651,403,848,367,871,246,671,
283,099,939,373,708,408,172,915,106,440,038,025,926,574,136,356,899,350,486,
285,738,792,945,317,024,386,260,821,380,972,124,443,377,212,265,311,516,665,
110,343,616,512,673,090,831,690,459,299,760,633,562,020,534,041,476,643,458,
322,924,891,422,101,346,996,568,782,537,238,094,743,705,424,849,130,429,279,
110,700,754,924,185,602,357,142,121,740,826,911,735,645,863,553,882,843,241,
540,324,707,988,362,143,732,461,669,519,422,731,817,243,387,146,228,227,467,
548,310,295,044,124,932,024,196,514,466,087,036,793,840,647,279,180,130,069,
269,388,965,790,393,664,361,912,368,357,659,703,432,191,705,134,771,293,957,
200,085,878,200,927,074,260,406,649,443,198,283,116,755,348,447,327,924,337,
706,586,616,815,215,741,122,019,287,878,201,371,614,953,863,916,530,755,157,
289,214,884,083,189,047,926,632,504,883,611,919,651,057,073,360,378,170,390,
751,479,144,358,503,938,801,485,457,441,159,068,557,120,192,430,708,407,594,
955,746,156,462,310,233,589,832,378,259,218,608,691,937,598,829,158,948,682,
088,325,781,184,142,104,399,554,810,436,450,243,880,573,533,789,240,302,670,
809,947,396,663,073,769,058,762,341,171,565,735,420,804,934,961,710,953,451,
767,312,505,499,578,838,000,114,626,694,601,489,947,310,239,498,417,452,550,
323,361,885,234,126,750,019,776,320,514,600,461,167,747,041,397,077,137,976,
515,523,768,234,370,563,345,032,130,505,294,965,645,285,444,331,818,178,007,
896,417,815,792,642,744,233,222,305,210,026,701,927,917,714,577,975,989,206,
123,087,291,358,360,421,593,285,689,663,971,430,609,813,340,993,748,256,212,
976,472,177,219,112,923,816,300,572,833,424,338,974,387,329,043,933,847,336,
904,922,870,480,029,575,200,425,092,800,047,027,271,601,973,730,705,159,071,
692,574,070,021,991,539,238,369,417,460,930,225,230,069,628,342,728,576,257,
336,730,500,693,789,972,001,760,308,429,594,500,722,359,230,222,242,481,444,
878,099,401,624,411,607,189,849,428,758,671,481,883,251,560,988,662,869,519,
070,351,607,951,050,624,544,932,757,671,786,182,869,346,630,653,994,967,799,
885,993,997,125,876,027,028,266,939,494,247,767,056,376,572,502,428,517,282,
648,141,054,717,436,602,373,067,772,253,791,351,802,396,480,426,515,409,682,
466,211,252,282,295,331,242,587,110,988,201,224,387,850,005,445,407,230,488,
104,195,434,790,192,688,325,634,188,628,061,963,379,214,175,244,459,036,773,
071,364,497,415,287,446,712,590,706,032,196,634,987,318,796,263,145,419,627,
579,651,492,889,424,409,072,838,926,487,170,779,787,110,060,985,475,763,557,
161,660,330,043,256,391,493,580,340,538,967,410,273,048,756,976,583,832,496,
899,438,647,106,812,164,073,950,609,301,382,681,584,672,708,637,601,471,827,
553,252,601,613,913,307,468,601,285,775,672,614,144,941,418,945,215,377,003,
169,726,328,995,081,095,515,755,034,240,535,563,658,067,837,224,562,933,610,
526,111,732,206,804,173,697,823,953,456,498,039,525,987,471,668,611,805,167,
085,683,853,139,714,332,209,810,367,712,453,485,739,288,053,925,225,807,201,
462,430,318,538,979,580,984,827,179,734,704,034,848,373,517,312,157,366,887,
620,857,752,009,268,421,640,988,021,365,266,885,896,812,584,920,782,923,704,
502,092,196,715,280,020,246,155,559,858,520,194,003,825,313,552,970,303,128,
915,071,493,829,124,367,523,496,636,166,967,213,164,351,849,172,137,371,916,
193,676,312,594,346,042,282,512,560,591,107,914,312,873,196,087,790,680,947,
768,460,837,586,878,121,401,895,013,415,117,533,450,693,939,208,223,691,182,
256,729,877,587,892,786,921,626,916,783,176,689,086,717,222,989,835,710,693,
800,310,148,220,648,042,015,341,138,403,309,161,707,810,945,763,704,318,554,
619,344,288,950,091,183,533,330,857,705,647,438,368,658,063,531,586,633,397,
407,005,042,494,164,496,407,174,791,778,184,206,664,915,845,724,529,139,126,
731,500,140,603,366,454,230,712,388,539,060,470,226,177,309,532,616,097,286,
646,402,267,514,071,802,946,790,676,473,904,730,920,450,035,058,693,473,329,
266,353,285,371,612,580,995,946,188,666,156,566,719,353,576,699,683,383,367,
496,089,204,319,012,735,748,816,334,544,662,677,571,286,632,511,881,795,557,
437,580,472,529,912,844,920,546,139,072,025,223,845,917,208,948,793,145,946,
892,021,538,132,163,661,986,144,596,117,957,454,777,950,725,090,070,145,596,
332,766,919,524,161,051,200,338,556,261,391,997,239,107,227,190,561,453,775,
195,605,927,913,735,327,899,719,407,945,580,725,023,493,981,643,338,874,721,
695,713,609,649,576,228,851,916,595,997,505,495,414,404,863,863,007,865,599,
326,833,971,864,715,450,385,332,761,046,640,668,374,621,523,763,972,619,196,
290,627,886,693,913,896,702,420,423,683,531,761,599,567,909,641,745,391,472,
891,445,781,180,787,802,667,684,965,338,096,722,203,479,336,299,240,549,532,
792,830,356,459,411,090,579,650,877,778,958,412,637,548,334,602,484,704,597,
537,597,040,202,370,940,985,738,237,038,307,696,455,201,684,264,658,085,251,
271,296,632,607,549,043,205,774,895,745,584,270,132,430,175,719,264,260,182,
154,294,197,931,383,860,422,560,177,751,819,297,761,731,722,080,227,856,359,
540,025,716,479,275,265,972,287,942,299,673,578,833,616,206,447,985,609,249,
082,401,681,703,607,929,883,048,824,567,121,296,850,266,313,139,058,771,052,
454,588,140,640,555,655,022,394,646,782,108,641,362,664,481,945,807,456,882,
000,435,357,684,179,025,978,630,562,029,011,213,036,955,906,781,312,218,884,
243,546,921,607,250,812,427,627,518,613,269,199,511,959,649,370,588,574,643,
117,347,327,978,140,490,638,108,644,084,858,131,798,105,260,667,188,795,792,
317,622,911,383,286,750,631,925,079,426,510,050,334,445,839,211,998,807,709,
260,753,667,061,196,775,329,373,480,699,504,471,382,554,727,264,376,643,064,
970,925,231,971,256,804,680,677,369,829,635,036,851,180,054,761,842,285,058,
569,909,849,891,391,373,469,178,214,730,425,339,115,276,175,371,692,971,165,
408,867,115,644,523,436,401,581,209,741,134,080,867,203,331,352,680,922,599,
590,963,832,787,065,939,279,596,015,872,225,183,734,033,144,900,680,089,253,
524,734,973,738,873,453,194,435,779,141,972,218,242,354,060,256,352,269,421,
923,893,315,392,944,107,349,627,002,691,380,920,670,229,304,556,665,574,131,
133,363,747,897,818,450,988,577,004,842,387,614,755,010,932,958,087,741,092,
346,265,624,534,087,584,009,718,609,547,560,440,936,425,350,347,570,371,335,
094,175,832,183,082,839,066,490,089,866,546,552,060,872,108,434,177,202,217,
932,846,021,696,675,076,134,594,274,179,337,898,172,567,245,437,240,538,652,
223,092,265,647,866,261,498,331,606,048,644,991,695,361,289,707,574,282,230,
762,958,646,024,435,851,737,829,794,242,485,038,214,261,252,814,905,989,062,
642,241,240,316,601,354,440,904,354,041,484,031,390,433,832,139,011,682,378,
885,806,696,693,489,283,251,562,097,597,346,008,767,521,893,181,887,271,070,
700,079,936,808,202,012,009,200,689,467,926,087,496,997,833,944,445,605,024,
884,636,382,684,236,231,224,032,124,197,370,195,548,778,209,899,624,447,063,
640,756,543,004,312,520,440,505,015,277,090,141,394,084,385,055,414,215,164,
142,349,652,541,726,524,340,653,423,208,013,675,867,035,011,181,571,247,715,
218,802,413,992,968,084,467,889,344,035,857,145,011,428,843,257,599,526,056,
890,521,130,931,424,064,733,793,508,232,793,317,240,656,046,493,464,305,889,
963,480,364,419,221,344,787,399,480,775,004,476,516,254,242,565,492,459,819,
109,402,068,601,415,237,479,371,368,482,393,307,029,456,701,359,945,684,396,
204,467,462,136,040,953,244,165,610,917,452,045,029,823,376,895,618,316,235,
847,304,593,604,166,657,839,119,054,382,554,389,020,498,181,670,431,943,995,
554,969,763,870,617,079,689,994,567,167,207,336,407,634,951,976,767,737,043,
837,578,274,453,514,887,362,872,482,967,159,086,969,331,115,207,620,454,218,
499,325,083,099,509,023,709,933,719,985,806,106,885,871,378,367,526,022,207,
810,403,904,520,170,144,276,756,411,531,171,178,567,121,090,512,733,730,243,
891,502,576,962,061,271,272,022,377,238,229,461,992,642,058,805,236,865,202,
689,659,776,185,518,541,246,283,606,885,669,249,983,962,294,169,538,530,574,
773,279,371,264,838,514,043,389,659,988,016,251,537,941,609,671,275,035,310,
954,910,928,702,913,611,195,935,048,846,432,504,610,276,485,959,450,001,860,
452,233,291,743,066,544,478,932,301,089,457,051,196,943,348,938,274,869,042,
101,130,583,400,481,769,617,158,980,387,431,725,429,482,402,761,857,685,487,
885,599,123,379,870,628,748,268,752,043,529,327,163,905,411,258,937,438,444,
679,929,225,404,747,407,256,755,626,429,292,940,297,925,694,591,347,927,138,
461,705,742,187,502,529,920,840,502,513,108,905,680,702,939,500,182,664,125,
571,261,241,363,342,180,739,365,589,304,782,805,794,498,328,718,095,274,928,
420,698,820,240,905,877,658,999,814,969,766,752,273,483,080,077,883,590,918,
488,333,656,716,739,980,994,463,489,647,772,931,778,826,070,718,317,009,667,
024,929,242,841,278,829,292,109,368,992,137,943,796,265,075,281,609,737,179,
162,578,924,086,343,774,748,208,188,567,716,515,977,144,586,525,034,789,948,
694,178,076,130,779,917,773,163,028,821,084,336,265,633,780,238,774,511,084,
843,239,633,097,015,346,923,291,362,452,114,998,455,911,932,118,610,070,571,
731,121,189,303,818,825,682,353,266,617,504,138,118,858,069,850,365,364,072,
880,204,022,268,441,592,966,826,985,411,519,193,054,189,924,513,731,625,068,
389,431,723,043,652,201,313,755,477,463,949,806,322,206,554,520,869,110,532,
829,779,052,207,726,492,797,827,300,159,294,131,711,690,933,810,411,732,531,
663,912,793,744,642,078,693,197,330,288,565,710,155,254,665,258,101,536,919,
890,145,190,745,151,076,320,674,078,349,816,568,111,323,912,870,619,689,035,
502,453,348,606,863,398,438,162,412,382,532,375,980,365,941,972,932,281,934,
583,871,014,227,242,646,356,865,646,461,979,963,334,055,350,388,962,421,518,
300,811,402,185,579,781,382,412,894,706,229,555,596,751,452,611,279,863,286,
647,222,894,570,446,344,214,154,222,836,556,942,408,976,237,300,009,347,605,
032,206,761,103,312,248,454,707,583,478,892,248,379,995,816,639,865,037,820,
090,065,162,591,347,077,822,908,678,124,277,423,519,581,462,463,885,107,009,
051,279,627,523,036,856,469,963,727,150,917,271,648,893,955,701,281,669,303,
606,726,768,590,464,431,034,668,131,213,915,265,283,296,237,623,447,631,789,
997,296,876,531,722,247,953,909,866,093,870,374,044,514,206,492,153,872,871,
000,100,401,983,259,128,216,277,614,607,805,991,227,267,074,820,922,525,173,
528,649,913,956,572,825,291,542,421,813,566,223,763,729,564,185,272,508,573,
716,280,753,606,620,481,521,408,395,776,378,375,274,577,003,892,729,442,537,
799,186,071,036,551,200,378,720,623,920,664,019,784,891,338,596,344,459,321,
537,629,818,474,785,664,518,503,738,339,136,176,959,409,426,097,338,623,089,
945,565,849,055,318,577,209,385,202,771,886,943,292,160,549,407,546,612,666,
580,628,532,124,961,117,652,952,661,739,108,152,318,547,851,205,579,278,807,
803,517,170,330,742,539,688,775,338,082,548,489,554,658,050,819,344,677,838,
672,176,366,385,504,846,752,850,137,390,195,021,936,978,789,942,186,648,267,
697,491,652,985,476,200,061,881,347,046,758,081,976,684,611,263,089,719,355,
937,670,729,648,871,286,426,379,993,619,883,792,440,883,153,936,834,476,931,
747,283,215,773,566,065,464,735,251,528,508,240,657,749,695,130,608,612,892,
795,040,353,354,948,602,273,355,896,635,517,545,980,342,108,946,241,354,196,
191,776,994,952,777,020,282,094,336,774,468,802,584,610,635,040,853,563,550,
349,855,925,269,818,441,373,969,030,416,723,465,088,978,801,006,717,907,818,
621,193,735,949,950,314,573,261,081,850,340,268,202,203,561,502,012,487,213,
841,333,368,210,183,665,641,041,395,852,984,711,400,334,037,241,076,060,040,
271,310,860,399,402,494,011,315,906,491,689,287,549,044,889,216,418,668,312,
231,086,527,174,751,981,993,306,996,323,921,946,005,489,206,898,654,141,215,
701,723,499,798,791,472,181,559,020,008,368,619,057,073,936,922,333,107,404,
419,089,497,689,055,417,424,275,233,326,817,206,929,618,913,933,286,426,799,
554,069,648,958,301,978,233,331,308,191,819,844,528,150,629,702,129,796,772,
907,599,197,753,337,862,660,238,033,224,543,621,787,304,350,399,143,171,115,
942,593,582,953,760,986,575,642,538,453,330,249,502,699,963,570,966,448,628,
558,943,993,170,920,690,463,031,260,861,623,280,347,123,870,052,585,067,531,
756,399,752,387,941,437,478,252,706,549,043,845,527,771,889,940,607,943,114,
190,623,987,088,566,286,923,170,320,072,814,800,865,376,435,544,912,151,523,
836,001,175,374,210,610,291,516,570,515,593,883,938,594,957,063,150,673,553,
531,953,069,072,414,317,455,826,549,974,752,570,993,577,879,311,946,881,853,
934,811,554,334,707,385,679,449,301,768,945,683,295,405,936,793,564,655,683,
137,718,074,932,381,397,676,779,105,885,181,881,688,370,848,720,365,194,811,
251,972,693,173,335,714,583,881,436,190,707,568,345,898,891,662,061,980,813,
421,366,896,722,704,167,047,534,017,327,738,772,211,284,221,873,581,616,194,
660,889,117,231,594,177,283,305,912,560,116,444,745,732,160,572,758,650,865,
069,204,956,929,393,043,282,943,837,130,467,496,434,232,869,956,649,218,825,
325,431,952,692,758,565,603,844,394,556,640,000,285,186,961,821,483,210,512,
060,208,615,775,674,343,503,347,073,323,917,725,063,001,171,042,939,305,701,
487,828,454,481,925,967,290,712,673,949,946,939,962,480,408,331,115,934,582,
077,368,811,898,602,578,274,541,455,647,044,877,773,361,097,821,419,293,202,
095,305,106,335,352,361,128,969,782,361,039,885,776,625,660,622,584,623,358,
426,830,304,985,353,348,072,423,909,573,236,707,431,969,716,344,975,085,148,
417,313,866,323,785,818,552,398,331,767,386,313,572,460,721,311,373,861,272,
322,946,826,072,593,806,266,901,020,647,331,685,894,005,695,687,005,762,801,
118,524,248,123,894,895,490,811,169,685,147,902,873,289,748,005,176,019,219,
865,394,536,340,688,141,495,952,116,389,920,765,090,663,526,912,657,777,109,
520,315,041,213,090,822,861,198,092,730,973,404,750,360,901,591,280,240,110,
157,735,090,564,642,176,007,008,663,993,527,939,493,370,879,215,258,308,135,
162,825,568,658,704,122,739,415,713,614,914,397,419,884,804,641,825,063,522,
242,232,135,175,187,191,417,161,356,554,333,653,227,888,172,637,784,633,065,
779,506,402,786,754,341,704,607,058,645,377,825,942,964,852,175,171,440,088,
888,022,604,087,884,351,998,278,694,955,847,962,606,387,689,161,761,528,128,
603,138,206,194,615,925,844,487,926,265,253,148,598,949,005,839,776,599,633,
150,391,710,703,221,101,674,788,033,925,589,821,633,287,151,998,920,983,157,
381,236,740,712,158,462,752,473,444,356,266,470,992,713,029,696,173,468,205,
463,173,047,706,135,607,501,221,493,447,474,680,216,132,078,430,741,975,938,
151,889,546,836,885,767,121,542,730,256,445,749,087,317,698,425,120,879,882,
026,638,913,494,016,669,988,870,104,520,157,915,576,158,940,138,043,712,723,
684,658,095,685,360,111,141,618,341,207,174,289,345,927,463,188,923,491,617,
328,737,537,116,709,940,706,058,036,073,608,599,784,202,822,396,852,099,174,
380,959,984,766,114,231,701,140,469,854,996,057,482,497,401,631,171,260,484,
361,901,744,443,310,762,473,397,249,042,684,025,514,907,287,439,965,785,805,
792,139,049,453,404,270,246,473,002,509,573,781,247,330,280,680,109,032,047,
408,095,690,053,855,744,785,843,368,966,728,427,746,387,235,660,740,096,984,
927,959,244,408,555,983,337,556,328,331,612,209,040,907,756,639,485,543,478,
227,155,224,227,274,201,749,053,335,673,911,209,016,847,738,212,209,800,517,
748,204,611,883,141,271,530,973,167,635,129,988,695,290,959,090,934,883,424,
207,887,189,121,113,915,953,018,781,426,409,444,104,953,090,615,138,134,603,
411,014,863,894,915,357,714,221,739,638,172,173,170,252,297,250,780,260,567,
209,300,216,419,971,342,315,953,380,513,762,307,291,403,357,917,897,697,694,
776,661,425,993,112,810,606,332,488,799,921,650,852,997,396,699,113,628,009,
529,214,925,082,081,419,884,250,410,688,567,147,205,308,564,128,312,911,456,
525,908,245,251,047,298,583,529,693,342,477,792,776,857,476,742,798,154,568,
007,178,402,161,777,432,973,202,064,211,563,897,480,519,685,297,433,021,129,
324,285,754,760,565,627,094,168,869,872,327,093,673,950,828,850,042,148,116,
046,031,604,265,816,728,049,754,720,833,431,366,032,751,460,152,626,442,619,
611,019,397,863,047,977,881,880,361,325,527,551,447,928,200,024,455,512,405,
643,193,615,277,444,705,431,169,222,196,803,245,791,160,137,410,892,654,596,
393,204,018,002,234,280,575,523,681,301,763,082,595,347,236,657,387,925,450,
397,475,437,238,797,864,029,439,144,234,096,430,979,802,883,394,557,062,608,
778,984,890,625,055,388,906,579,410,534,148,080,565,392,482,655,249,186,273,
992,951,997,635,444,247,768,370,792,340,746,046,925,029,544,460,368,130,710,
741,563,404,086,011,612,488,443,834,918,195,712,924,975,504,559,440,173,545,
150,900,102,738,289,786,298,674,334,268,561,694,791,541,723,460,137,401,270,
779,367,840,607,583,791,986,526,355,484,334,208,639,702,157,984,849,444,385,
224,319,615,141,525,516,446,156,889,510,576,655,484,801,401,038,618,462,342,
570,593,921,829,321,365,573,589,998,911,584,661,809,632,275,401,766,135,532,
778,934,924,184,866,196,175,577,544,398,207,190,890,160,639,572,317,146,135,
118,576,926,428,408,368,629,296,555,999,803,814,610,260,399,468,388,332,928,
213,296,714,602,473,411,265,053,061,578,273,965,413,515,242,313,843,492,343,
822,018,505,741,314,304,887,058,539,709,444,569,231,912,487,902,087,992,600,
522,479,279,054,483,187,726,277,504,462,744,709,694,768,985,478,692,216,778,
294,634,189,757,706,537,461,732,886,911,989,975,911,148,322,105,220,515,043,
832,278,813,215,113,911,078,950,245,402,289,755,539,112,664,440,921,483,545,
124,021,700,470,089,293,666,390,108,945,056,453,698,989,196,335,824,599,648,
377,568,307,535,969,978,090,394,338,740,953,669,650,747,029,408,016,834,885,
168,712,586,500,716,673,351,337,739,568,577,706,729,814,698,269,662,209,756,
981,628,628,528,783,772,465,315,981,157,656,344,288,965,113,963,003,578,659,
096,516,765,749,062,743,033,070,366,354,725,416,633,185,493,621,130,136,061,
720,614,489,471,204,808,847,330,737,521,294,633,754,975,540,380,630,747,471,
898,185,827,316,571,105,292,171,754,306,975,551,882,939,013,228,298,903,929,
303,669,694,622,461,809,878,324,398,368,888,291,500,274,357,090,712,048,789,
683,331,065,573,456,466,457,466,191,398,465,291,874,181,671,689,319,367,355,
636,239,264,012,929,807,025,269,607,250,725,820,394,546,921,631,203,506,109,
827,532,061,914,097,335,995,256,973,270,615,448,568,442,328,955,100,955,654,
049,267,560,917,750,482,286,864,265,326,170,021,693,182,758,089,423,390,373,
435,847,119,075,598,092,951,235,623,823,766,392,868,389,136,938,174,155,716,
152,012,783,277,974,728,086,420,251,189,962,540,904,819,061,537,203,037,854,
698,952,192,183,378,957,957,036,825,504,008,303,168,526,094,868,502,374,824,
839,637,832,177,838,949,611,045,740,528,825,103,165,715,001,042,538,930,961,
235,326,507,051,093,022,964,621,472,616,285,128,887,924,385,112,319,542,303,
617,872,280,645,578,051,160,305,117,097,647,439,600,407,929,749,912,863,616,
794,492,259,444,718,959,954,279,240,944,301,464,739,079,526,071,390,003,703,
213,056,051,014,332,679,229,586,840,273,815,312,555,733,357,002,914,854,725,
654,187,131,527,001,102,251,851,387,392,111,613,315,121,213,726,544,927,491,
031,364,750,830,987,209,125,237,018,334,304,514,237,658,312,008,025,329,483,
385,180,593,563,156,065,196,315,388,679,732,677,914,139,668,833,664,592,501,
867,450,710,297,192,849,057,810,144,743,613,649,836,127,667,426,048,264,218,
624,898,839,076,145,073,862,422,951,180,809,118,113,539,133,007,702,146,541,
832,081,254,479,644,367,408,655,278,486,148,875,910,822,346,265,874,837,851,
763,232,940,455,314,679,489,484,759,039,330,766,721,296,648,766,573,208,153,
007,035,844,636,836,414,804,140,269,433,054,410,934,641,948,657,936,139,408,
406,409,525,811,536,293,165,288,232,413,617,675,669,283,292,894,366,763,525,
024,017,497,073,137,488,882,415,807,694,931,585,544,257,850,780,327,486,746,
834,021,022,930,536,108,198,393,037,062,188,897,730,178,611,061,183,928,807,
244,709,393,845,141,233,633,314,108,473,208,836,404,085,825,375,422,286,317,
815,412,575,905,714,916,753,583,951,019,554,528,066,091,388,855,347,751,663,
098,123,042,124,983,513,334,891,332,814,200,922,267,464,831,648,827,466,395,
496,610,506,675,724,291,133,948,253,193,052,732,274,250,071,482,372,950,586,
959,818,301,465,108,519,679,429,158,684,048,184,750,421,005,575,692,280,435,
199,704,001,927,716,583,038,739,993,392,716,574,321,070,898,163,808,420,173,
585,078,197,526,299,780,472,359,847,021,160,196,347,934,710,062,098,288,116,
824,436,832,840,274,612,901,910,843,204,681,675,704,770,315,396,397,553,358,
282,533,835,617,762,473,330,029,593,123,420,380,915,556,478,851,045,402,980,
377,455,333,909,984,177,921,349,927,810,276,414,313,234,457,101,231,429,108,
467,502,224,715,988,641,022,610,660,972,185,152,283,660,101,656,750,968,483,
796,080,795,751,091,368,720,267,696,897,031,127,833,296,447,728,409,445,065,
555,165,530,333,134,373,400,184,587,385,818,409,094,907,414,462,275,709,592,
666,465,750,294,259,227,957,053,914,727,092,369,777,958,753,388,134,048,980,
170,537,910,824,725,421,452,916,576,162,829,762,762,571,770,132,364,887,587,
397,712,577,254,476,180,610,964,950,672,516,704,217,480,152,933,339,298,302,
135,233,643,620,486,214,368,658,934,992,490,231,976,952,515,699,809,009,139,
492,098,459,186,555,280,456,189,994,008,005,331,030,597,966,197,534,687,072,
458,555,673,824,878,966,254,096,825,674,299,554,617,021,280,568,206,847,440,
267,255,775,170,206,301,046,788,116,336,770,155,942,990,009,747,919,117,077,
244,973,408,412,231,235,994,018,516,639,751,502,898,295,272,685,162,050,750,
620,346,699,847,279,734,514,751,576,691,953,268,189,060,426,812,445,010,570,
835,282,182,941,994,471,682,379,303,915,254,499,887,684,536,079,633,941,286,
716,630,266,963,292,542,381,683,294,555,159,810,245,194,241,375,892,313,284,
193,002,121,055,276,714,809,919,857,769,450,431,706,858,180,691,438,792,187,
196,948,856,069,658,428,270,128,873,792,980,920,863,456,861,586,011,911,682,
726,176,084,791,131,451,944,784,120,509,022,540,637,171,889,953,450,516,657,
004,920,157,061,000,739,203,821,048,993,520,350,868,430,936,737,346,706,301,
069,626,223,576,093,618,074,079,637,520,369,223,218,942,372,377,115,117,274,
244,188,527,724,129,292,413,913,532,855,016,982,218,734,900,969,930,957,253,
221,447,379,338,276,340,036,771,759,699,507,356,606,316,245,478,986,352,038,
103,827,847,623,244,920,417,783,397,797,488,259,157,512,508,968,311,392,591,
189,176,763,473,448,207,870,241,777,766,198,279,217,918,304,455,680,131,063,
545,805,806,413,592,441,214,783,186,538,530,993,030,842,902,261,146,470,931,
386,448,518,967,707,976,819,177,097,412,705,895,401,265,584,645,655,123,297,
887,300,616,724,626,407,869,256,190,771,914,191,964,968,100,525,255,365,816,
429,953,700,059,143,101,094,178,165,592,541,278,818,126,047,613,633,692,828,
376,226,250,386,242,394,412,978,927,203,665,956,988,783,178,612,279,423,206,
572,805,041,805,365,709,378,905,852,560,991,725,183,047,990,978,514,902,147,
361,756,111,743,926,478,100,268,045,829,766,427,975,187,815,381,935,983,583,
188,510,784,193,259,489,230,287,507,938,131,463,189,920,609,854,063,335,969,
849,665,119,777,099,656,496,126,466,959,861,086,020,209,058,256,590,334,623,
791,545,877,618,481,292,986,814,880,410,488,830,311,007,585,825,277,876,167,
641,291,224,934,068,732,146,586,368,476,794,861,355,320,571,326,194,872,432,
473,177,565,510,971,751,294,736,568,894,805,876,470,727,306,402,449,669,337,
815,023,669,794,321,238,611,046,522,306,586,328,232,770,594,532,171,968,551,
371,239,121,269,846,883,990,797,983,381,734,787,662,233,836,926,044,774,940,
837,736,610,071,039,774,312,804,015,745,253,438,536,793,531,492,153,571,307,
202,860,460,277,545,400,050,881,056,993,582,466,742,261,427,148,961,919,760,
937,090,017,223,018,791,863,922,851,545,140,243,439,269,634,062,575,023,339,
661,226,504,679,232,912,109,989,155,122,340,183,909,337,448,813,051,148,059,
020,663,146,642,884,880,874,499,774,688,989,747,924,475,780,872,781,257,325,
774,545,077,623,005,357,050,466,007,034,538,520,291,920,140,835,950,436,388,
769,635,007,315,721,032,423,250,348,807,437,907,513,715,582,855,930,777,515,
351,195,321,159,975,957,511,546,643,372,308,098,955,151,921,224,824,166,309,
378,968,538,791,632,430,758,748,650,418,951,592,134,295,629,750,463,622,472,
629,533,045,663,164,151,376,441,434,629,020,723,429,480,994,880,713,921,605,
319,575,844,239,531,535,788,258,307,266,844,127,957,029,040,741,164,430,897,
938,525,607,774,000,152,360,849,460,462,023,562,592,165,784,599,620,596,987,
874,864,906,325,016,752,103,674,643,333,965,879,716,135,600,484,289,305,637,
083,947,937,395,426,766,379,246,065,446,463,538,764,977,066,816,510,796,691,
344,635,395,621,302,129,914,659,725,776,384,619,722,163,077,129,122,570,938,
374,822,795,021,861,864,507,891,949,723,584,898,422,203,153,489,664,707,977,
388,222,830,928,480,022,475,300,589,821,482,951,733,804,988,087,325,851,173,
543,051,063,734,154,930,941,331,941,211,050,670,787,158,616,234,327,473,896,
308,207,223,900,371,626,846,271,711,669,425,155,703,615,181,258,088,276,348,
418,431,820,523,321,202,815,424,971,144,266,956,880,946,227,686,046,914,650,
615,915,864,258,800,811,840,801,848,750,513,726,379,833,009,438,948,194,989,
823,600,935,631,084,509,000,553,202,471,512,386,153,452,947,972,991,981,589,
475,771,983,917,781,122,370,620,537,163,047,137,200,196,727,793,090,392,000,
171,648,455,771,440,672,097,534,155,504,148,079,302,889,420,361,380,444,213,
380,349,966,295,170,407,650,096,002,810,991,484,613,301,457,674,457,095,995,
583,905,713,484,112,914,133,824,020,221,652,401,350,800,238,084,236,449,571,
849,614,454,525,982,305,243,041,065,431,687,659,525,266,734,555,894,332,803,
549,694,596,884,923,268,430,913,109,512,476,824,773,909,678,822,585,971,759,
455,410,839,647,304,236,250,638,576,702,949,457,733,703,387,638,050,527,507,
002,747,774,360,567,876,406,510,047,018,319,778,114,806,874,764,054,818,055,
159,731,210,769,172,096,700,301,677,023,402,456,025,172,852,116,431,621,522,
517,300,585,460,023,519,925,378,967,121,704,817,780,162,424,996,661,327,057,
613,986,283,151,661,552,009,944,005,367,537,613,753,443,394,946,726,716,148,
664,380,517,408,584,926,858,536,384,993,148,821,576,902,276,243,204,031,932,
319,196,470,062,310,348,778,539,417,023,482,213,070,900,573,336,034,647,282,
297,122,329,545,175,421,436,631,820,309,546,538,095,622,721,109,632,499,239,
960,210,648,364,103,233,007,677,198,390,377,264,546,000,315,334,020,307,076,
436,408,110,149,184,841,308,827,142,707,159,467,903,910,346,086,097,022,750,
733,021,568,829,266,609,403,342,349,285,235,273,149,028,485,795,137,132,462,
786,501,432,032,731,203,958,089,200,468,796,204,289,560,896,476,060,013,562,
920,886,235,009,401,695,678,785,163,293,847,792,306,611,965,240,252,634,688,
638,045,658,421,879,237,975,896,120,347,437,327,479,050,500,455,021,433,718,
286,458,738,586,475,986,350,026,414,107,640,570,367,646,302,634,839,493,525,
459,848,539,034,588,627,024,436,212,007,111,965,098,753,793,646,267,189,560,
217,798,156,175,944,269,076,585,638,615,383,829,849,784,900,799,587,240,373,
988,412,087,032,531,907,724,959,633,619,278,573,245,361,277,935,826,743,833,
860,250,242,853,561,605,216,434,669,669,180,120,883,935,238,401,434,289,073,
320,035,938,247,402,373,693,180,872,788,352,328,990,995,519,881,369,838,339,
490,689,377,877,435,718,287,012,085,552,009,339,055,115,679,313,704,007,349,
291,755,382,586,321,485,953,155,096,481,939,388,019,757,870,108,734,517,727,
428,556,238,352,366,451,294,812,505,154,375,325,415,712,919,607,904,183,745,
317,788,068,501,509,902,811,120,776,790,247,383,060,715,946,708,501,734,245,
264,005,755,211,391,581,921,079,764,180,272,314,089,744,193,835,731,387,884,
055,264,858,453,421,045,657,825,272,956,226,704,444,321,319,248,182,253,746,
625,930,916,482,420,774,487,225,844,751,980,881,110,490,297,887,359,709,496,
978,652,518,662,635,606,096,595,998,932,235,488,741,649,639,683,054,771,061,
308,958,409,606,591,900,466,417,739,801,771,591,262,469,140,335,526,265,631,
971,122,047,542,682,762,720,630,935,927,409,237,634,908,958,799,377,371,731,
134,793,559,282,499,913,880,645,493,053,622,154,578,879,359,771,447,212,962,
127,586,961,412,835,226,558,960,231,938,101,589,464,998,257,324,663,740,730,
011,334,842,774,000,456,000,796,311,255,299,584,199,965,639,210,888,527,646,
912,609,834,166,062,799,473,778,551,936,355,552,676,805,230,488,783,072,484,
061,754,129,648,145,345,479,118,342,924,497,180,726,661,256,824,561,798,888,
345,772,424,536,431,886,757,224,444,779,550,653,072,830,140,916,144,345,286,
465,621,565,731,151,121,994,874,366,756,576,113,727,104,093,305,178,935,425,
282,314,765,660,431,434,483,221,469,876,930,466,231,523,945,046,425,111,748,
284,423,944,188,407,297,821,032,913,594,177,056,027,177,456,773,330,138,552,
480,464,932,583,828,833,043,203,650,309,882,955,517,359,052,336,225,676,141,
893,890,560,647,794,732,113,822,729,588,887,011,829,789,991,360,969,707,676,
549,131,437,534,167,271,879,118,304,490,204,302,511,491,788,143,717,498,806,
242,155,353,084,734,277,678,297,237,762,540,994,380,910,213,523,310,906,967,
750,006,915,812,268,976,371,426,732,378,519,259,312,316,878,996,040,633,094,
141,429,287,920,215,653,497,103,292,613,186,268,553,625,095,930,137,331,072,
786,821,741,244,345,641,982,759,007,843,884,626,789,843,839,907,801,935,814,
180,655,058,580,869,936,936,023,550,194,871,583,043,741,799,536,679,165,886,
903,212,514,243,029,179,458,360,617,055,093,436,879,919,221,624,573,591,126,
508,785,370,883,126,007,333,680,429,605,524,512,062,903,256,177,917,479,452,
083,092,373,287,569,288,504,216,980,816,521,904,574,616,163,795,629,084,081,
492,516,070,990,821,918,493,429,287,442,528,004,467,965,614,344,657,351,253,
485,947,873,956,656,172,037,265,766,391,861,027,900,436,989,965,102,658,646,
122,156,377,383,029,246,999,552,372,133,038,985,013,381,761,521,861,066,248,
632,015,572,757,660,186,054,070,931,125,986,408,649,179,009,449,559,090,804,
355,834,191,210,141,215,320,692,276,196,289,492,073,514,912,604,725,726,822,
421,360,286,849,931,937,519,382,778,015,972,155,405,783,557,432,196,519,108,
390,646,740,258,986,891,226,307,121,445,511,451,983,238,632,551,640,411,891,
046,012,990,465,588,115,470,459,550,316,200,963,739,830,028,054,965,753,848,
041,199,336,886,382,386,773,907,774,786,364,738,203,409,256,781,802,250,723,
611,006,053,697,189,997,275,070,488,290,622,517,511,686,348,081,577,958,304,
549,530,009,319,630,645,565,867,195,465,090,785,685,921,949,778,183,127,323,
286,790,925,303,767,974,865,201,550,151,936,217,911,068,481,222,809,956,343,
850,757,833,779,698,357,096,407,679,562,636,861,839,351,229,263,469,153,111,
227,638,278,587,962,892,482,083,658,807,074,310,736,306,582,797,521,770,619,
374,964,649,949,085,836,860,019,304,815,903,743,943,334,852,975,543,682,558,
381,772,418,744,657,147,459,907,888,582,046,416,031,281,871,293,649,133,174,
697,699,078,362,494,292,053,444,483,078,752,206,690,810,713,398,985,536,066,
040,434,443,451,445,432,705,172,714,538,134,974,358,758,768,583,790,226,683,
296,763,921,527,394,788,208,719,373,729,486,352,190,047,126,747,192,301,806,
582,138,170,871,569,234,317,895,229,444,968,029,813,011,977,043,208,564,373,
074,714,467,272,836,222,862,123,516,279,807,023,813,594,143,885,844,154,982,
319,351,048,218,056,902,593,064,358,312,812,323,573,724,088,072,280,191,379,
594,643,234,075,153,618,246,595,083,336,992,572,555,450,167,759,141,403,657,
345,272,719,311,052,801,631,487,848,119,183,074,197,048,457,052,165,574,721,
632,631,254,988,578,512,040,095,750,449,953,083,962,795,102,136,910,972,652,
097,165,718,904,634,869,162,471,872,870,018,414,496,126,039,890,183,916,390,
357,377,847,466,003,160,245,640,478,687,904,273,039,499,389,315,621,602,000,
224,193,590,470,346,569,990,112,169,419,718,428,056,008,422,037,142,851,195,
825,396,556,292,766,456,619,607,349,195,254,214,355,276,864,204,499,303,692,
005,945,695,500,673,155,944,140,214,232,799,509,662,283,034,092,282,864,803,
684,944,155,726,606,832,803,991,831,039,573,090,510,205,019,992,037,895,346,
230,064,728,952,292,945,111,090,526,950,222,161,172,739,626,875,078,848,118,
713,796,537,793,947,108,217,857,904,796,945,288,952,323,007,682,059,621,980,
425,175,406,689,769,661,626,061,418,894,356,581,739,455,395,552,717,398,505,
661,869,895,474,872,331,116,040,996,507,323,779,663,398,750,246,705,528,962,
510,341,251,978,936,552,995,833,034,132,733,307,968,250,504,820,593,904,734,
492,350,116,586,504,858,182,959,987,116,883,191,350,450,908,144,445,308,584,
332,841,587,969,607,095,851,573,295,146,577,084,114,207,368,111,928,908,153,
749,861,047,167,600,535,151,062,465,124,298,554,289,369,784,978,829,980,248,
980,355,837,383,953,543,142,974,941,613,892,556,863,311,758,501,847,852,910,
689,528,503,887,601,898,607,463,738,038,093,416,700,007,221,623,966,434,577,
547,776,166,134,722,893,146,368,206,540,022,357,390,318,340,361,134,238,609,
188,907,606,330,534,753,706,800,910,841,211,193,672,917,891,297,009,208,276,
204,246,720,176,205,455,583,053,404,174,262,082,845,322,041,213,387,538,229,
968,440,758,042,979,781,806,816,851,904,347,177,763,985,682,533,226,489,891,
461,013,708,857,975,118,454,329,323,143,989,660,661,404,527,037,800,327,265,
171,897,291,416,496,740,071,860,906,315,985,423,475,506,246,495,484,951,533,
630,344,480,576,285,887,716,724,758,045,469,733,385,781,347,315,632,705,920,
161,007,481,199,103,087,295,171,491,826,408,182,027,477,596,526,397,536,042,
487,567,786,926,320,370,040,516,511,681,448,007,516,317,971,763,330,489,429,
397,922,215,701,691,042,453,685,306,603,089,297,365,831,089,048,310,100,700,
980,004,642,944,535,382,228,952,416,847,036,306,859,273,478,613,944,795,883,
768,748,331,710,991,578,727,331,522,250,172,920,157,535,478,295,607,078,999,
115,713,788,202,287,664,928,714,599,060,565,411,485,537,512,432,593,472,022,
612,436,958,276,314,161,673,753,112,217,383,833,572,555,529,172,803,316,987,
296,729,786,311,180,707,775,500,942,720,607,071,218,444,667,786,144,306,286,
279,859,363,355,688,592,526,915,908,360,019,549,229,969,344,276,770,025,878,
960,644,546,609,588,127,151,867,484,728,264,260,178,372,286,545,213,743,861,
076,442,291,788,702,758,387,141,824,872,926,226,655,333,586,389,043,045,977,
562,575,822,096,374,375,640,085,874,809,233,325,767,177,524,920,744,090,734,
637,174,155,800,766,212,423,950,462,425,334,956,894,105,733,498,678,432,351,
257,026,623,290,660,153,121,861,195,260,974,894,281,858,982,962,415,674,957,
015,111,241,597,694,432,710,564,572,965,477,731,900,776,424,339,224,571,631,
502,573,367,649,233,806,558,594,348,054,175,876,361,075,351,420,985,404,118,
151,913,914,334,087,647,391,236,142,223,363,736,390,695,746,979,067,896,284,
735,904,881,567,257,237,357,680,803,429,786,847,313,958,943,490,255,710,138,
506,062,246,280,846,227,294,505,396,438,413,097,652,687,471,011,672,492,267,
242,339,877,983,048,618,079,914,620,982,744,349,680,052,068,245,255,145,971,
340,836,008,042,471,812,471,629,987,207,085,600,474,692,655,842,236,125,506,
694,210,627,760,471,004,782,727,381,339,268,169,719,983,407,107,658,606,147,
705,627,632,812,210,088,511,816,727,590,556,026,799,112,079,118,911,891,655,
175,249,610,357,637,595,343,716,117,526,327,420,639,645,891,915,809,652,804,
014,065,241,934,737,931,012,517,982,823,709,250,249,219,316,114,387,343,422,
056,334,582,032,752,746,964,230,718,369,758,778,239,239,846,002,902,554,034,
332,710,035,160,869,205,615,108,682,001,365,176,366,854,880,278,661,476,757,
801,960,768,022,778,786,915,006,069,360,693,144,066,018,081,738,449,919,145,
998,502,389,232,701,896,797,479,684,155,627,150,731,455,632,726,513,995,303,
896,391,628,913,260,214,574,620,337,153,413,913,942,870,535,820,350,662,487,
916,858,636,666,216,591,431,575,851,590,256,422,314,335,935,695,243,334,873,
404,543,373,962,759,418,929,424,219,731,667,901,600,306,437,460,408,259,307,
680,748,459,290,528,804,163,535,656,097,113,975,778,689,238,129,693,139,208,
959,534,359,640,190,608,787,054,092,764,634,809,416,362,476,127,707,537,567,
088,510,201,479,339,261,586,053,053,241,183,130,039,454,286,897,155,740,856,
326,646,139,154,073,058,131,155,374,322,184,015,453,781,401,306,848,783,928,
996,172,736,567,498,759,803,265,844,840,344,704,566,600,751,435,135,707,401,
625,450,435,815,448,748,219,849,753,010,372,611,690,834,758,264,070,186,267,
272,989,005,276,130,850,793,237,104,211,714,004,484,603,774,535,638,750,558,
132,500,603,389,699,894,243,852,878,723,493,762,826,373,287,425,601,951,532,
549,641,377,912,656,550,132,635,559,730,162,918,524,102,596,546,101,313,638,
278,184,994,373,575,410,828,881,849,889,550,610,273,325,018,307,024,363,155,
257,650,947,215,157,885,140,388,792,757,521,877,417,277,296,550,618,091,671,
726,370,138,392,467,196,657,564,347,072,044,738,072,205,255,635,804,024,706,
155,250,564,813,444,586,438,845,045,690,891,566,618,444,455,305,481,890,507,
675,638,567,250,624,439,562,739,285,486,320,566,345,747,279,646,254,179,482,
047,262,230,373,065,029,775,645,238,907,445,223,161,931,358,421,500,728,324,
129,434,343,875,745,046,502,802,247,376,818,944,649,408,554,030,869,263,999,
433,691,965,829,855,328,764,928,055,101,490,535,373,410,211,371,659,949,732,
049,506,847,931,817,454,169,841,871,098,021,577,311,112,205,304,276,952,103,
222,854,595,010,873,410,580,860,710,847,594,715,081,783,680,361,392,622,595,
323,896,005,258,349,258,704,695,178,806,023,792,447,055,129,617,094,426,771,
998,410,579,644,911,535,567,849,910,568,936,396,336,223,185,628,724,065,101,
989,838,306,543,421,757,676,093,967,782,588,780,998,105,271,097,705,970,662,
472,217,672,147,803,916,392,726,069,192,330,887,039,917,551,726,572,667,039,
392,488,911,941,072,943,539,293,866,581,199,192,430,965,226,703,265,788,904,
150,816,448,857,805,644,695,891,444,280,179,475,900,365,997,708,728,313,138,
207,167,236,682,058,323,878,822,426,745,796,216,500,694,182,493,983,859,103,
611,354,092,096,528,169,763,586,179,258,725,808,722,351,241,798,484,713,979,
357,450,038,260,255,033,498,375,606,940,297,459,622,518,303,230,146,372,010,
148,974,042,600,366,966,584,451,564,866,041,294,776,908,531,162,733,946,109,
344,062,763,474,707,619,514,692,662,068,163,166,716,589,010,785,517,724,630,
787,958,593,939,772,992,319,561,653,722,008,280,529,077,639,930,902,673,620,
328,477,017,515,507,139,808,431,012,259,831,517,727,101,313,458,343,743,000,
425,138,528,994,420,889,259,433,399,355,353,939,961,096,579,739,859,038,687,
781,207,544,991,596,689,540,126,122,614,874,799,119,229,346,218,241,947,322,
169,369,453,408,789,666,990,891,094,021,173,054,223,473,353,558,608,588,862,
088,466,778,830,189,295,668,662,927,655,584,700,025,272,860,393,695,213,838,
381,455,421,413,031,342,235,019,813,896,541,018,744,419,926,982,639,129,414,
137,086,082,025,338,319,440,566,361,405,553,508,429,921,906,035,811,705,018,
282,647,292,040,546,013,837,564,230,960,828,293,701,716,713,819,708,584,959,
051,909,526,849,167,738,173,697,183,234,781,671,301,704,103,206,702,336,874,
193,894,147,070,630,409,696,726,979,555,841,383,876,139,698,021,348,278,781,
439,714,740,448,070,561,862,757,649,354,720,437,889,650,899,988,398,164,779,
223,011,786,997,310,166,571,280,141,614,340,508,924,450,044,188,766,216,105,
414,534,925,149,971,277,501,397,693,621,636,079,629,669,312,355,385,070,445,
243,646,260,254,974,148,591,542,046,264,797,633,177,383,498,528,534,765,203,
124,315,396,583,222,052,297,573,932,679,368,093,697,902,722,669,934,128,910,
829,327,588,809,580,152,849,067,709,853,348,540,732,223,648,681,413,078,678,
630,127,141,496,739,045,204,798,341,588,081,208,162,640,535,922,894,467,082,
651,849,601,060,422,023,922,634,191,410,964,943,629,391,460,167,072,283,869,
098,337,520,406,198,134,075,872,627,183,958,858,913,882,484,655,482,425,583,
376,450,196,790,712,280,944,377,633,593,724,025,866,930,764,336,550,031,479,
638,407,935,341,689,185,571,590,011,979,852,521,101,869,254,675,953,406,134,
191,817,907,944,957,854,938,957,675,636,596,151,765,846,071,096,816,981,554,
348,765,997,706,678,722,606,103,876,590,738,334,849,553,782,316,890,178,152,
037,608,733,746,724,991,724,140,095,857,347,260,590,309,055,837,582,623,048,
390,462,215,268,040,486,373,844,163,852,388,005,600,946,233,487,505,952,484,
388,918,268,575,814,056,861,615,823,793,737,784,918,597,587,691,767,922,837,
127,306,054,709,492,081,873,922,365,539,402,208,061,550,675,906,056,959,206,
151,887,763,491,126,863,416,264,073,536,909,177,195,596,362,743,737,476,989,
342,254,894,010,726,484,392,700,953,926,259,694,514,880,141,785,455,104,495,
481,253,294,296,780,341,161,897,847,712,983,241,683,331,654,927,732,062,634,
666,190,558,899,966,911,223,008,225,002,377,948,349,867,270,197,807,076,911,
574,351,188,248,301,741,064,258,560,310,653,467,651,543,900,223,835,419,599,
387,193,728,780,094,341,363,849,181,005,755,395,402,533,417,804,130,512,964,
034,781,287,306,333,340,680,071,334,039,888,888,411,952,901,124,473,551,508,
146,795,856,772,632,999,831,166,309,101,779,429,828,285,389,483,859,349,706,
387,039,994,971,417,548,071,423,124,555,797,356,162,482,409,450,225,000,264,
958,394,525,198,747,882,449,058,275,873,725,269,867,916,923,049,679,446,395,
889,821,888,836,635,824,058,121,752,153,201,257,033,511,942,014,185,205,884,
752,496,247,858,358,349,084,991,725,992,553,590,665,953,313,971,425,993,254,
640,393,237,092,757,799,192,197,727,308,550,541,207,832,000,724,509,902,121,
478,554,138,116,569,197,764,610,921,331,654,440,854,547,754,573,411,325,130,
150,002,208,167,388,903,789,727,645,574,151,158,363,720,216,631,571,080,953,
493,637,086,827,984,662,375,116,703,290,138,838,838,829,133,878,268,588,235,
288,415,326,013,348,183,198,821,107,915,054,157,386,533,659,802,248,872,280,
179,109,993,136,447,265,609,813,692,015,749,300,635,221,034,699,139,271,708,
360,560,529,081,070,196,638,461,248,966,823,221,167,797,380,409,280,433,852,
241,522,133,058,506,350,428,816,791,064,241,184,490,029,154,448,699,442,927,
893,984,735,450,165,273,628,124,824,219,880,737,961,714,149,467,691,701,983,
108,428,681,436,541,276,518,154,142,136,844,744,892,922,665,835,364,587,448,
693,998,745,257,697,622,849,795,367,431,208,080,134,440,595,934,118,323,441,
013,701,042,341,388,672,135,388,918,494,674,334,490,417,189,521,260,255,059,
107,260,065,390,002,184,749,399,644,521,852,260,945,681,404,474,179,939,140,
700,120,181,588,857,100,992,681,787,521,185,222,264,941,426,329,471,283,668,
979,931,597,515,792,847,894,102,924,607,373,575,855,885,919,381,606,885,307,
220,879,918,439,944,544,967,100,021,571,625,991,244,461,008,036,014,544,231,
690,999,505,372,313,856,003,590,019,871,778,594,556,737,634,444,015,722,363,
618,670,326,973,948,906,091,251,832,342,809,352,041,731,785,798,725,150,369,
210,258,013,869,515,834,990,847,332,167,886,619,558,235,652,317,194,232,298,
294,663,784,483,181,163,105,828,583,780,746,540,061,970,041,104,825,354,395,
570,896,817,627,422,686,132,082,590,237,668,302,988,990,776,924,039,909,818,
699,657,625,960,405,138,727,157,061,209,799,665,856,670,924,734,358,998,365,
832,438,886,572,710,495,048,764,729,010,296,001,326,417,261,960,087,650,569,
045,269,039,807,209,716,384,047,081,086,183,881,134,231,391,027,784,295,584,
948,947,766,537,780,331,015,317,270,629,603,562,448,436,990,064,030,592,268,
212,958,698,164,006,156,929,468,019,158,536,557,949,807,157,597,391,914,843,
464,912,014,285,934,928,218,994,206,315,549,839,952,576,915,066,059,209,845,
872,617,251,402,042,113,430,168,494,011,599,366,575,292,910,829,076,305,209,
622,139,162,979,620,568,143,665,705,660,707,028,624,185,343,392,468,708,779,
554,641,418,164,643,994,996,872,565,935,134,181,984,068,588,125,674,879,148,
919,277,137,789,949,583,755,829,049,904,179,653,368,495,830,057,165,518,073,
183,910,742,771,943,542,738,549,972,558,523,040,299,006,258,320,822,277,597,
851,228,988,405,323,910,847,446,128,173,842,883,089,913,458,254,281,967,733,
488,846,962,278,246,430,633,470,867,471,826,910,036,497,639,013,258,512,362,
449,287,435,604,102,374,838,399,276,996,488,752,992,637,507,118,306,111,087,
433,379,637,246,251,908,352,417,866,214,224,154,474,593,604,425,408,740,646,
704,013,531,183,959,320,982,821,923,677,556,108,537,511,252,615,719,728,344,
994,953,906,677,878,591,479,411,798,112,510,966,575,162,418,760,635,159,152,
736,722,178,261,903,425,399,965,927,038,539,468,801,856,520,478,324,076,163,
314,545,452,600,230,219,836,874,218,811,938,958,988,214,415,049,339,227,250,
828,064,858,861,750,617,269,243,914,463,053,835,149,838,386,221,093,456,256,
015,942,178,936,413,270,690,873,472,129,891,538,882,455,402,949,932,595,358,
048,727,332,462,300,313,178,448,026,340,987,657,592,482,731,365,118,166,505,
144,516,011,537,282,469,386,547,103,836,080,918,450,829,079,655,408,302,223,
386,961,996,865,097,844,622,916,105,953,376,499,395,271,981,135,003,672,527,
279,224,472,271,903,963,489,002,154,030,112,788,989,451,161,144,147,326,246,
846,764,597,393,385,243,227,571,685,874,288,430,602,229,795,821,163,345,204,
540,049,565,066,892,702,404,222,379,517,605,479,965,868,228,125,087,390,671,
544,269,791,927,318,917,544,453,365,865,424,343,349,286,690,915,649,041,567,
142,547,905,696,419,861,352,446,705,105,427,510,573,265,076,324,935,116,720,
513,464,305,758,458,211,153,028,818,278,216,137,321,322,965,335,883,478,829,
035,561,060,274,827,956,249,224,088,986,210,552,886,379,603,064,129,189,687,
095,096,301,394,122,874,189,936,329,159,572,173,033,716,089,532,003,993,022,
505,976,960,803,497,475,182,031,525,887,678,698,157,882,141,669,270,845,195,
433,048,370,483,358,858,969,021,958,859,720,846,209,692,964,575,538,917,898,
114,487,823,240,033,828,180,247,109,152,617,768,835,052,983,172,433,386,302,
926,102,349,987,500,958,641,304,771,726,383,779,272,810,306,648,838,202,885,
526,974,694,916,719,698,904,416,692,399,800,430,135,245,360,059,227,479,839,
630,543,239,890,887,062,963,376,734,605,847,970,305,617,971,265,842,735,279,
792,168,873,749,842,408,821,485,551,811,376,929,171,538,580,661,487,413,044,
725,363,584,414,963,222,905,111,551,858,209,420,388,679,342,643,663,004,745,
258,119,828,519,626,527,227,960,351,245,087,821,836,950,580,622,073,935,611,
346,222,411,689,673,258,635,222,566,099,547,104,935,620,605,013,929,593,484,
943,467,582,339,694,432,043,325,968,668,639,479,299,404,110,193,464,506,203,
686,718,494,182,725,707,042,915,220,117,155,640,506,170,495,843,676,778,455,
312,224,154,306,538,727,983,294,535,418,554,745,577,859,802,254,697,647,042,
722,070,288,677,218,559,275,945,270,940,309,036,488,550,689,144,409,198,826,
026,672,532,473,454,486,201,738,447,794,411,579,494,087,400,591,927,455,645,
770,644,728,439,283,229,164,785,209,459,298,512,622,534,449,914,067,791,075,
949,313,996,175,740,684,343,455,845,623,855,771,346,934,577,921,690,358,306,
873,062,366,957,421,815,284,319,302,971,032,171,087,567,326,616,439,235,783,
467,991,429,354,665,786,960,126,465,258,139,367,039,926,428,582,367,191,712,
646,847,390,432,840,624,617,759,642,362,609,585,955,551,050,077,190,494,188,
101,693,229,503,326,792,714,092,665,523,958,596,644,046,440,563,940,146,422,
013,149,261,081,806,631,179,429,945,509,394,870,678,040,325,797,722,766,215,
740,936,381,654,285,191,192,090,091,343,085,635,352,545,688,391,043,263,361,
341,313,660,077,502,603,605,160,889,742,855,492,557,339,112,977,693,674,566,
283,916,777,529,758,725,547,635,160,911,957,754,308,918,870,525,997,490,850,
202,327,048,410,216,742,220,629,269,820,085,069,372,478,669,495,796,969,395,
468,636,416,294,944,969,774,842,151,792,024,182,676,207,176,407,854,691,307,
195,111,426,021,534,893,421,296,947,680,361,620,431,641,271,606,200,663,292,
750,900,021,069,477,514,174,413,034,726,126,746,730,027,677,068,962,280,585,
325,104,505,253,594,882,135,841,878,177,996,803,102,317,296,442,812,205,041,
017,041,982,043,792,632,806,828,640,254,971,258,136,757,573,806,591,330,434,
883,253,485,218,823,875,582,680,702,434,899,256,269,474,455,473,095,240,917,
009,058,568,713,372,080,284,650,552,042,018,863,223,074,931,652,764,853,605,
607,130,895,587,624,834,056,398,172,016,739,956,699,757,336,374,031,043,794,
205,260,339,147,407,765,356,395,312,356,796,151,124,917,029,854,071,738,734,
250,426,887,080,037,547,092,169,312,896,853,870,357,926,621,730,829,512,578,
649,063,135,971,290,217,613,701,283,629,331,393,481,943,468,283,883,589,311,
103,121,821,616,047,266,461,101,629,534,612,016,219,533,173,157,905,148,863,
807,561,366,789,432,072,404,920,216,419,060,802,983,088,936,413,661,125,116,
794,812,954,208,959,923,429,427,335,939,653,363,284,417,674,526,569,579,226,
880,461,419,370,393,342,141,430,769,172,148,819,330,271,976,983,037,088,622,
452,838,600,865,107,361,534,049,965,600,491,323,298,986,827,558,479,832,249,
302,585,742,564,317,192,751,469,972,856,665,002,407,719,663,861,342,902,403,
662,608,114,162,267,742,697,316,928,132,471,321,978,010,259,117,757,297,802,
142,172,176,377,774,679,504,208,167,576,254,582,778,904,083,434,609,626,383,
392,979,537,439,689,699,213,315,570,754,009,328,565,000,496,983,053,458,770,
915,124,328,025,827,119,068,410,659,257,198,173,507,383,785,461,730,403,536,
025,444,760,168,902,524,729,323,582,919,022,199,604,306,203,862,845,841,370,
402,969,671,849,891,788,900,202,928,370,137,336,700,715,154,039,205,744,266,
123,440,767,665,832,027,826,097,949,415,170,556,943,669,880,583,069,514,100,
886,759,084,389,602,050,837,818,617,669,808,012,526,705,997,319,292,694,848,
067,321,598,853,117,402,074,756,138,262,333,447,708,591,742,077,899,550,712,
957,647,006,501,574,151,954,671,560,471,928,493,545,550,448,294,099,912,578,
153,787,609,512,014,265,749,706,317,130,739,039,999,978,264,821,068,663,383,
131,743,159,851,683,521,928,261,067,051,318,342,103,634,992,738,958,387,424,
537,862,505,178,510,424,341,203,482,735,889,463,452,727,665,739,559,029,053,
801,054,366,187,451,418,102,750,491,046,618,227,719,859,949,167,888,723,635,
223,857,372,974,075,773,542,437,261,901,311,753,658,520,084,066,951,811,376,
447,359,187,267,937,722,659,524,291,033,485,727,958,436,027,732,726,555,828,
467,441,751,041,341,204,076,939,770,525,672,334,272,875,359,702,076,303,488,
747,856,206,004,519,862,607,731,691,989,435,634,130,838,809,711,950,863,569,
665,469,453,352,177,850,659,942,400,991,299,808,078,819,722,449,040,216,354,
458,351,217,803,824,296,372,549,856,928,770,142,746,375,075,151,084,078,242,
576,951,443,565,072,367,998,963,738,738,209,866,102,626,945,020,215,128,168,
874,433,878,619,017,578,470,126,207,096,942,187,932,178,635,295,409,684,479,
374,179,761,228,848,583,973,005,279,901,077,004,356,629,428,718,695,746,476,
585,830,861,884,015,385,234,335,448,843,642,929,381,394,786,568,093,213,681,
971,327,980,145,598,200,874,255,748,228,746,150,016,132,965,050,294,445,654,
153,981,682,703,881,269,277,483,304,399,987,207,649,536,587,646,890,606,275,
976,237,989,790,044,495,972,767,790,323,008,621,718,076,120,543,478,592,248,
540,108,737,125,983,741,952,132,794,888,633,534,181,302,808,740,180,195,971,
851,889,680,460,555,818,983,660,675,751,439,906,017,668,289,871,084,028,760,
199,405,274,480,330,620,773,430,555,810,766,230,414,056,186,668,392,943,251,
591,562,569,180,395,484,055,687,811,622,424,058,155,445,768,500,744,078,334,
962,447,399,299,876,337,031,498,412,207,484,498,162,868,604,372,926,987,584,
147,000,214,093,738,889,850,392,294,270,591,367,578,584,506,936,970,195,813,
328,552,823,681,329,418,712,053,044,640,364,609,563,803,812,574,361,877,740,
480,390,072,114,074,770,137,098,165,621,765,461,609,655,976,439,215,513,812,
977,430,488,581,558,214,919,588,256,086,472,767,605,410,028,917,805,896,881,
776,270,932,832,152,540,918,785,650,542,863,904,623,712,675,278,454,394,437,
953,232,427,805,262,716,891,151,086,015,330,157,220,872,524,462,012,391,801,
870,468,426,939,248,063,675,107,078,762,451,678,883,277,254,041,296,008,440,
617,621,870,230,498,310,767,356,466,278,062,123,883,380,269,163,028,039,251,
583,059,617,418,349,535,722,917,639,746,286,450,815,352,025,029,454,542,390,
804,354,897,256,918,540,019,201,451,998,215,465,314,928,529,310,121,542,277,
610,303,583,472,945,898,368,336,840,474,560,816,716,587,660,433,826,846,423,
913,968,327,967,761,491,243,470,625,728,031,204,958,417,900,864,841,884,859,
328,605,740,265,777,232,853,030,944,827,019,920,480,442,677,775,190,952,969,
376,907,467,197,528,932,817,054,441,334,638,911,001,818,189,251,403,627,009,
002,652,351,607,367,856,006,579,934,300,261,901,060,236,561,461,634,576,153,
791,980,069,798,270,323,045,407,817,923,613,128,461,847,236,458,295,155,860,
959,445,933,305,018,210,666,220,890,935,393,046,631,242,587,001,662,089,826,
435,597,445,518,757,930,238,745,965,596,958,684,894,266,098,893,226,235,364,
997,851,293,360,123,862,036,411,571,882,441,787,520,505,648,193,674,884,427,
228,856,911,539,028,085,680,902,878,710,027,413,763,495,159,064,595,250,826,
660,076,035,039,686,169,775,789,033,129,687,171,851,222,165,592,058,180,605,
684,447,303,025,674,263,076,491,485,678,883,256,619,905,127,769,559,956,968,
184,084,815,231,665,727,621,114,005,718,278,163,344,956,219,713,206,901,432,
071,159,274,365,817,739,488,246,049,388,988,534,707,230,829,308,786,663,437,
632,200,837,839,277,531,495,049,271,728,860,138,426,880,063,849,663,028,449,
003,032,004,378,462,880,929,511,469,060,854,712,946,005,139,091,070,551,864,
510,153,581,032,150,890,158,975,043,725,818,452,997,327,293,715,284,059,925,
403,758,429,380,197,199,168,021,756,669,641,338,345,000,578,360,616,601,034,
262,587,087,022,422,145,933,783,099,942,192,893,171,488,955,997,308,211,645,
788,947,366,926,745,839,626,244,831,189,602,526,526,052,500,517,817,544,731,
135,200,844,550,573,294,752,561,881,224,988,773,431,292,469,029,736,717,691,
445,666,383,036,385,301,647,676,426,536,018,203,665,687,605,859,064,078,451,
354,631,285,366,669,934,479,322,901,856,234,978,666,591,455,513,650,893,942,
381,860,850,032,205,820,449,999,660,823,467,395,855,222,824,488,962,365,007,
897,537,651,998,858,234,963,907,623,167,803,508,102,849,431,644,479,522,158,
680,364,784,097,032,443,409,387,608,029,225,897,767,390,211,432,348,409,869,
796,940,172,272,431,702,057,979,323,335,130,541,281,911,196,748,748,800,706,
881,578,400,025,350,789,079,889,838,149,010,076,851,499,120,830,394,272,440,
642,431,544,021,312,780,680,777,707,987,789,056,401,957,047,037,914,260,903,
641,269,386,856,129,598,772,258,710,994,924,765,297,448,091,128,304,904,058,
170,901,899,749,131,387,154,095,558,179,556,141,986,472,005,255,373,496,003,
280,064,566,351,375,555,739,354,595,721,331,232,247,899,638,251,344,492,688,
377,956,646,361,600,501,360,250,911,918,596,642,306,956,506,334,022,698,457,
906,949,250,141,502,022,006,414,374,904,967,712,469,588,486,197,175,099,236,
114,894,362,064,827,491,749,016,524,622,389,172,232,511,317,991,132,879,094,
740,317,427,579,744,987,978,487,346,610,669,390,383,358,052,478,770,606,159,
311,610,082,874,561,113,167,760,065,448,112,979,137,876,214,527,908,835,668,
829,458,791,551,550,476,003,500,810,824,650,036,048,709,055,180,093,941,004,
034,042,557,183,760,453,232,307,076,992,908,537,230,882,217,369,596,453,131,
158,110,321,395,773,034,476,377,571,191,343,662,559,355,842,142,373,776,700,
452,866,652,896,205,123,035,593,827,293,782,105,089,509,137,349,078,157,910,
931,631,681,407,778,790,124,740,610,527,864,567,666,441,209,338,826,756,824,
626,459,139,063,909,307,288,153,277,477,447,293,366,875,074,449,915,616,451,
053,620,084,762,826,539,021,776,916,669,579,906,750,229,562,766,491,789,727,
596,477,551,504,428,626,438,610,398,270,643,746,891,312,430,447,151,690,638,
833,791,176,139,917,367,969,938,008,179,758,627,399,567,266,935,451,240,267,
083,219,478,758,279,572,102,154,500,331,902,918,753,521,520,466,670,612,048,
140,381,374,275,318,123,762,954,713,089,599,109,711,557,475,467,313,460,847,
081,520,253,689,089,824,232,802,809,576,307,800,283,526,200,977,896,184,555,
828,374,088,407,479,064,877,177,834,546,098,020,961,694,757,808,842,241,086,
965,189,693,862,709,994,497,899,575,103,341,603,011,265,089,809,126,449,069,
757,007,592,781,718,280,095,232,696,228,378,455,111,116,174,823,470,534,595,
306,002,451,198,441,025,854,482,596,249,890,276,860,772,485,815,562,273,185,
095,089,017,678,308,805,254,643,363,161,154,863,530,355,056,039,522,853,679,
297,674,117,861,185,649,046,608,236,596,697,003,935,331,419,175,817,300,506,
619,075,089,610,980,976,219,893,322,891,471,508,952,442,922,216,692,573,185,
047,161,318,146,732,460,484,682,449,356,061,612,058,497,463,527,216,974,780,
453,322,150,534,760,707,545,927,979,795,015,142,493,979,948,937,666,549,871,
763,858,156,897,989,401,298,004,250,511,444,896,597,384,579,862,681,539,187,
243,891,291,019,109,287,698,967,860,544,917,448,763,681,039,528,251,955,326,
387,185,463,862,261,099,076,958,223,913,350,817,061,382,659,108,066,770,487,
284,925,041,312,541,250,266,642,152,742,288,348,518,694,873,144,308,435,172,
431,476,344,473,541,028,133,638,861,132,692,884,848,210,363,688,890,574,841,
078,850,248,469,808,360,486,822,937,564,517,637,070,751,497,665,397,817,211,
025,144,371,807,984,739,332,661,308,873,786,211,291,621,809,697,356,428,490,
011,528,279,566,116,228,580,821,379,404,309,806,879,999,731,189,564,766,132,
125,454,464,263,998,317,848,736,171,485,038,703,426,623,951,155,429,065,763,
361,763,654,322,509,293,673,947,241,776,082,905,368,154,591,594,890,795,699,
469,867,312,819,958,666,997,132,568,750,591,482,561,918,964,212,959,336,527,
235,416,600,911,867,386,280,929,168,834,566,149,204,086,957,424,759,741,317,
906,237,252,539,120,257,522,759,199,704,909,505,052,629,352,928,120,342,740,
816,717,255,344,651,546,917,460,133,583,346,332,992,329,742,197,685,884,847,
547,837,437,291,614,913,007,216,208,802,665,075,126,145,155,224,279,784,929,
004,516,717,410,759,781,904,355,145,389,498,432,970,703,720,814,972,370,739,
152,418,688,038,563,601,898,856,717,896,196,367,652,918,160,586,464,405,490,
579,840,268,637,763,183,444,549,424,273,962,669,541,178,261,044,241,713,534,
843,671,710,037,615,976,785,872,328,331,595,499,655,711,327,243,060,193,988,
978,764,566,495,451,762,745,060,069,345,672,987,746,039,577,979,538,412,837,
665,652,417,173,776,731,131,948,550,752,282,806,691,685,284,956,480,025,069,
785,570,878,471,672,350,592,609,061,427,335,965,677,827,502,958,301,520,341,
579,318,462,989,822,908,545,699,024,031,829,679,154,950,109,576,137,878,873,
044,878,340,005,369,497,754,445,568,698,874,625,937,087,854,543,370,759,786,
097,420,752,389,024,988,131,817,843,198,622,925,825,386,430,752,727,067,232,
079,829,497,076,637,063,355,440,800,239,918,851,884,403,850,033,858,084,404,
502,309,051,369,680,865,257,249,820,255,691,276,664,696,570,714,567,200,540,
856,634,637,771,261,401,304,190,105,360,258,336,148,645,631,239,126,347,621,
461,276,440,797,004,654,691,059,707,503,286,402,497,415,782,710,281,627,725,
392,111,018,513,304,090,983,328,861,131,901,747,314,398,649,757,579,835,735,
787,926,743,239,882,760,208,256,678,825,640,995,063,072,354,169,099,771,628,
932,319,283,102,526,470,326,493,310,709,068,070,380,305,832,542,744,195,147,
557,309,173,566,476,343,527,081,304,567,774,442,345,434,436,511,000,968,934,
918,544,246,439,196,624,766,923,971,753,323,790,370,524,152,428,683,453,072,
026,853,792,261,014,803,515,477,431,466,808,797,115,735,687,613,976,058,054,
044,892,318,728,406,698,536,426,375,098,074,808,213,558,609,353,668,701,405,
720,825,087,555,937,352,625,811,189,861,366,982,144,594,621,396,350,762,980,
077,755,386,137,433,558,327,353,412,541,880,974,849,687,239,159,728,814,524,
083,330,588,105,046,408,048,750,364,900,694,153,751,309,526,139,873,432,958,
652,329,722,672,162,462,717,647,145,484,904,115,423,595,282,375,937,374,806,
424,292,455,856,464,194,368,351,487,781,768,427,690,093,007,619,851,062,896,
198,721,181,340,266,533,417,154,308,017,703,646,841,744,646,427,113,395,334,
439,897,479,178,221,545,697,641,322,600,340,441,283,144,049,536,002,262,647,
538,665,632,114,977,019,860,324,540,608,636,396,045,995,130,037,675,707,931,
595,566,988,104,498,691,545,885,086,149,953,975,697,927,406,947,566,070,181,
116,672,416,154,610,921,444,135,400,517,657,108,827,331,633,981,201,733,508,
157,874,427,492,087,628,333,446,259,460,101,103,590,114,979,531,191,167,496,
328,433,671,044,495,134,343,554,245,038,996,532,693,424,523,419,608,660,617,
970,461,056,523,199,202,411,302,269,809,739,390,170,223,882,973,015,829,862,
806,082,537,429,073,688,821,790,297,616,714,314,358,413,389,166,138,294,130,
331,096,224,226,440,102,372,744,643,869,675,885,113,592,009,955,351,440,744,
540,761,611,038,607,813,324,041,738,498,008,542,927,566,400,247,144,086,288,
254,411,451,997,197,418,559,703,631,138,353,086,229,830,793,582,511,218,728,
672,730,741,565,210,839,838,986,692,238,792,004,946,669,275,250,145,242,759,
076,736,916,530,247,995,906,228,760,864,438,149,308,317,647,114,795,978,485,
170,778,820,018,526,558,112,187,748,958,548,961,008,378,752,769,720,636,041,
194,967,195,536,756,422,567,511,210,004,898,422,361,537,849,160,718,657,089,
452,404,306,956,356,454,916,012,655,865,308,779,112,494,001,487,025,786,719,
164,983,672,506,185,062,911,052,813,100,318,101,881,191,706,297,581,801,608,
804,059,160,130,485,625,241,259,700,728,612,468,032,849,423,141,578,227,467,
564,263,212,506,867,961,756,436,792,020,100,450,937,281,033,080,147,675,256,
386,300,764,456,432,885,426,407,623,702,001,412,997,498,512,233,703,563,857,
055,448,782,483,566,828,012,599,367,072,011,061,205,349,390,478,442,135,501,
216,171,311,018,447,714,368,903,275,748,198,957,403,687,552,423,057,700,099,
098,769,840,436,373,572,810,662,952,512,156,629,161,613,613,775,313,063,740,
706,768,229,294,884,006,380,085,539,580,202,076,795,547,390,961,578,490,815,
854,813,162,650,782,403,990,513,902,772,493,221,315,258,318,789,951,807,713,
449,830,746,895,564,205,872,453,338,896,908,659,829,819,805,055,252,555,687,
555,508,689,793,933,046,359,618,824,809,600,699,365,645,992,880,471,218,649,
433,826,753,458,492,754,642,210,990,929,163,066,682,405,779,687,620,290,349,
716,693,934,038,216,155,922,627,935,728,720,862,929,259,239,153,587,489,859,
360,293,721,721,998,821,906,348,384,800,754,301,826,568,948,651,040,226,259,
200,219,085,573,617,705,554,652,773,823,510,954,088,502,109,499,242,548,219,
908,211,373,957,054,421,610,206,166,009,122,258,144,474,710,223,912,946,969,
790,483,731,766,281,710,619,392,599,538,930,267,091,068,017,727,423,454,389,
060,756,990,776,177,972,956,804,322,301,678,791,793,631,021,067,441,516,762,
109,164,961,461,425,293,355,775,790,110,621,685,908,132,115,474,736,167,632,
299,449,863,098,216,090,184,075,852,357,523,091,603,623,718,057,045,851,253,
739,477,715,576,159,825,852,380,579,935,344,974,016,120,715,988,038,131,985,
923,523,336,424,391,505,153,783,907,298,613,962,051,861,283,413,104,075,969,
184,326,529,255,809,859,023,170,509,939,327,497,342,377,345,781,886,567,555,
449,407,828,462,123,121,222,046,182,308,591,312,903,017,507,134,563,402,236,
333,336,153,056,532,690,542,868,442,601,438,161,643,087,257,823,995,723,162,
107,945,395,400,448,526,051,999,791,116,204,121,599,056,388,001,160,307,686,
072,940,919,163,874,655,821,514,566,697,216,499,438,044,484,903,662,534,326,
791,351,465,003,608,539,215,853,996,920,915,809,956,241,526,850,179,345,388,
094,123,912,568,414,168,058,617,244,109,341,027,892,899,648,209,518,065,643,
186,253,658,305,744,354,639,274,184,160,544,927,152,145,763,521,763,956,244,
222,187,711,301,645,096,331,878,313,424,765,233,314,243,839,985,025,592,966,
584,135,944,385,424,292,092,764,736,234,963,147,657,072,783,624,116,478,935,
542,989,470,577,987,560,839,906,672,152,735,729,276,127,809,164,002,675,545,
967,698,952,934,182,295,284,640,396,960,907,178,213,542,031,568,138,692,794,
452,403,943,682,559,728,712,192,852,284,393,001,848,266,925,980,336,550,446,
186,374,442,898,914,028,124,127,273,091,542,376,741,063,936,733,358,854,704,
882,962,597,786,437,228,461,578,243,039,119,304,007,083,971,286,653,085,039,
028,137,199,514,412,456,190,074,183,761,188,657,352,392,434,709,681,368,704,
260,723,623,928,250,682,495,473,800,857,929,059,329,687,316,238,941,599,907,
677,678,572,390,933,036,993,864,948,365,001,948,994,712,652,275,417,366,969,
106,517,753,910,059,487,790,740,159,293,182,759,147,338,479,745,080,980,682,
933,991,738,928,714,945,883,953,918,968,431,558,803,554,073,549,043,103,575,
300,840,014,015,034,906,169,837,821,198,727,268,066,482,972,552,917,939,514,
546,170,881,899,394,607,494,468,651,493,771,222,745,590,007,618,705,103,443,
049,152,921,517,799,357,376,076,351,952,483,835,648,106,539,578,373,792,164,
531,576,783,981,423,917,274,188,415,255,892,050,690,024,879,210,382,261,507,
531,076,272,832,823,704,508,596,188,267,290,974,132,762,123,731,342,638,198,
628,579,864,751,100,878,444,915,354,755,231,087,472,896,211,255,314,559,596,
136,838,359,545,199,472,589,615,553,212,614,463,313,507,664,261,915,077,189,
819,155,867,987,311,858,516,599,201,358,430,998,293,542,552,241,536,157,783,
563,749,733,118,177,592,810,056,909,193,447,726,436,506,449,859,917,877,576,
900,831,310,683,923,833,983,667,792,897,808,627,627,471,743,479,810,750,105,
539,261,040,657,373,036,720,415,634,871,211,604,001,457,544,371,450,749,380,
321,313,471,272,701,837,029,706,266,490,358,202,923,678,157,143,272,203,289,
873,534,036,046,342,152,137,511,178,862,376,758,768,636,662,873,601,296,892,
077,986,539,132,353,233,463,040,075,749,392,192,025,425,663,317,139,476,780,
478,872,838,448,462,922,935,801,207,670,004,940,141,020,655,265,080,019,878,
901,375,603,904,864,268,912,024,954,712,409,561,167,201,093,753,447,854,921,
481,806,036,845,036,392,412,065,826,242,806,193,754,330,116,624,354,978,271,
441,519,721,903,461,998,145,359,546,024,729,241,368,784,312,734,940,673,415,
454,672,863,228,507,595,975,313,665,187,276,429,021,724,803,823,678,004,915,
750,345,830,549,689,976,434,494,604,820,883,984,051,435,000,218,573,213,686,
675,817,480,090,544,781,994,487,880,926,176,755,324,748,338,926,532,673,395,
440,618,080,570,601,815,357,681,142,413,772,342,062,410,660,217,405,802,293,
068,139,379,445,012,397,092,468,549,135,074,731,111,001,045,451,275,993,885,
116,966,379,268,218,823,828,214,225,397,725,265,239,765,941,237,770,341,618,
156,560,939,634,902,182,808,133,204,514,248,677,111,652,639,667,863,375,655,
027,276,080,427,572,314,751,295,388,464,654,232,215,551,383,071,373,874,073,
673,586,891,551,510,657,969,005,679,462,759,303,350,257,903,516,611,441,363,
242,469,297,310,855,180,580,209,698,220,497,546,011,365,073,514,698,988,957,
818,291,874,483,807,892,649,975,193,847,449,494,570,302,289,632,855,767,797,
402,831,284,627,189,117,920,248,522,814,435,569,225,784,670,768,721,977,290,
615,529,894,141,586,295,799,094,824,444,296,489,872,227,594,164,631,661,990,
872,866,339,057,869,631,973,408,030,124,161,666,200,933,382,905,899,022,454,
464,299,154,365,360,361,506,192,234,956,228,830,664,939,845,986,533,697,977,
396,228,514,096,038,627,540,237,034,694,623,154,042,489,856,940,892,578,174,
062,807,414,027,791,152,060,717,665,050,572,191,638,023,923,271,829,989,186,
923,570,537,265,144,657,586,529,039,232,004,158,751,004,176,539,812,974,307,
305,617,220,346,267,855,761,000,845,081,531,229,176,411,969,730,667,460,086,
327,292,492,964,576,656,587,383,835,741,337,013,981,911,793,557,296,204,554,
219,695,073,035,642,926,901,159,429,488,413,425,452,951,777,102,241,775,172,
730,095,388,566,327,425,428,984,771,186,290,313,987,410,586,337,140,639,379,
151,529,264,707,505,195,249,891,229,208,686,103,405,501,356,107,910,895,520,
531,026,135,476,855,102,304,013,138,618,153,710,994,945,591,424,621,394,550,
856,549,980,337,724,421,613,463,630,097,743,550,825,689,228,767,643,403,688,
791,325,337,918,996,129,266,372,414,641,653,380,661,817,362,127,393,498,403,
527,922,057,467,404,199,447,651,304,394,956,081,062,821,142,985,500,022,363,
505,519,749,504,092,345,383,235,457,702,647,782,429,174,015,462,580,107,801,
569,374,968,933,949,554,241,151,871,427,622,644,901,778,169,693,134,017,239,
747,302,063,570,303,693,752,423,151,498,321,454,474,206,249,770,363,577,451,
611,079,714,642,291,404,339,564,695,900,987,236,491,253,731,152,678,116,166,
051,749,371,675,350,698,272,008,381,388,516,702,710,634,895,919,114,168,463,
134,902,507,531,403,497,297,842,979,731,427,725,938,621,015,464,583,912,812,
413,759,015,840,916,540,527,565,654,330,152,851,579,542,571,223,958,721,941,
942,706,272,383,579,933,982,338,272,361,808,055,070,924,272,357,560,283,428,
693,237,847,909,272,685,576,807,749,596,543,896,047,371,889,779,762,479,339,
016,459,003,826,100,399,423,544,426,863,040,384,719,979,294,833,264,988,078,
164,521,723,923,303,659,383,492,403,809,942,689,582,123,107,093,289,118,956,
561,247,745,526,240,137,354,280,990,849,987,705,930,609,021,420,419,444,745,
076,025,562,531,065,859,929,126,663,666,345,931,481,951,432,744,013,656,462,
492,493,771,654,763,454,490,668,854,192,148,518,656,862,173,868,298,446,281,
727,149,595,756,314,253,982,397,631,343,830,307,009,305,152,867,348,563,018,
118,358,800,896,042,165,490,047,907,408,993,183,858,417,496,773,625,562,467,
826,826,805,621,848,584,238,769,203,525,386,096,838,724,887,257,571,086,909,
173,883,218,842,836,819,038,147,827,598,036,137,683,893,251,909,406,800,876,
900,009,260,871,138,813,375,187,827,686,078,444,734,103,708,267,646,262,153,
013,785,771,679,259,915,058,670,543,283,793,630,308,003,909,974,075,379,120,
054,714,395,406,995,397,447,012,070,565,737,995,579,174,845,938,809,375,642,
562,634,580,621,578,861,173,673,315,424,878,568,951,246,804,775,597,642,137,
443,417,568,133,024,674,636,242,319,862,379,955,523,186,143,305,424,287,206,
200,067,221,611,955,778,361,307,581,589,543,605,178,995,730,070,413,269,351,
972,116,278,222,580,764,543,599,726,685,882,738,281,677,012,312,019,153,295,
430,418,454,028,389,210,630,715,363,070,718,718,262,333,684,749,706,738,562,
943,275,074,961,004,681,566,920,347,156,950,135,502,043,379,398,739,726,781,
017,357,056,005,846,815,885,832,368,153,599,043,476,618,999,103,069,482,847,
229,029,721,678,464,640,117,305,446,661,728,850,904,835,654,127,200,571,751,
213,324,799,918,681,898,498,386,798,413,844,623,689,083,261,837,061,756,402,
969,327,454,051,176,984,123,014,568,237,437,184,192,135,818,449,118,968,300,
634,457,306,114,654,812,442,709,245,333,958,862,672,280,390,405,446,110,412,
913,428,495,202,898,138,727,990,079,234,986,504,217,649,499,083,725,958,702,
262,552,992,461,056,123,402,473,158,360,543,555,309,025,823,119,563,377,548,
955,132,308,514,216,067,730,542,560,733,475,626,917,112,972,610,852,818,583,
049,670,800,909,035,123,544,714,438,781,010,623,983,031,300,936,682,642,432,
925,301,405,072,892,944,626,074,511,202,599,530,740,647,769,970,633,988,640,
038,599,868,339,198,914,555,735,532,859,896,583,791,899,838,361,959,691,891,
760,579,942,377,936,947,500,461,054,118,717,884,367,714,646,273,002,090,555,
487,790,557,426,972,956,370,895,579,050,362,944,224,411,164,648,002,604,112,
196,134,582,042,897,753,383,730,865,964,108,548,265,997,556,602,339,633,369,
280,111,278,798,506,120,087,171,756,406,935,700,618,830,611,533,898,888,317,
934,626,514,157,376,966,322,108,039,056,748,987,856,410,584,720,855,706,435,
146,221,119,747,259,115,473,823,764,159,549,228,604,573,817,303,016,770,905,
269,720,239,499,952,565,398,154,694,494,721,353,055,767,710,721,742,464,685,
787,999,660,604,786,503,242,625,003,949,414,739,323,494,645,682,775,932,682,
218,046,321,913,225,079,078,412,162,863,243,008,927,822,140,791,420,125,199,
100,270,543,891,241,832,889,047,775,409,645,323,554,637,917,759,905,941,129,
349,196,784,774,574,729,588,172,994,411,253,954,489,663,953,176,325,701,087,
427,607,097,991,462,019,881,743,940,676,967,861,302,983,591,580,664,319,165,
060,062,184,768,679,023,691,612,535,951,419,011,749,103,016,636,756,001,274,
237,585,119,410,678,614,459,963,596,003,972,493,022,786,244,736,342,857,227,
003,202,684,867,069,263,252,541,249,307,588,003,586,962,892,065,983,127,849,
187,357,827,262,616,812,335,817,184,924,417,873,719,816,504,259,663,457,993,
926,950,813,326,684,602,248,501,614,671,776,410,403,891,311,402,744,683,350,
662,348,813,416,089,954,771,106,226,776,711,879,434,254,831,636,876,320,990,
933,390,524,521,318,730,799,659,387,598,786,185,631,842,694,213,606,199,811,
680,263,299,866,273,638,259,352,416,511,925,558,270,694,829,620,321,336,899,
997,546,336,519,910,330,450,780,121,023,982,687,942,696,466,766,179,297,071,
308,600,553,563,007,975,671,099,737,104,953,021,318,354,359,968,045,544,127,
443,229,990,331,035,494,752,100,684,280,358,694,986,332,218,551,300,620,828,
022,244,438,230,098,812,108,180,865,060,600,671,576,813,220,466,609,479,153,
234,632,744,530,230,699,628,325,409,829,257,803,498,300,515,406,573,468,354,
192,498,961,321,101,532,730,572,132,175,573,920,619,252,774,952,919,247,618,
014,186,534,465,526,595,826,253,461,953,553,815,912,402,620,165,970,412,071,
253,683,683,330,603,678,361,663,363,079,041,037,534,689,907,881,568,139,737,
598,540,773,342,098,918,642,745,118,505,326,213,586,918,503,532,243,022,669,
044,483,405,773,699,777,356,619,616,041,750,331,222,615,694,071,000,905,654,
156,568,313,394,205,982,868,838,489,152,555,686,171,632,322,190,099,613,161,
492,760,960,042,293,746,947,815,481,519,958,020,715,607,450,146,820,323,466,
518,052,858,185,492,889,938,305,452,692,563,884,723,535,928,736,745,990,002,
572,178,266,288,364,004,397,969,470,263,130,750,101,491,917,080,026,673,424,
874,820,037,670,172,718,116,886,287,874,815,826,808,741,581,312,353,192,723,
754,150,991,439,488,053,172,545,759,857,290,614,341,177,111,218,012,800,206,
385,887,636,257,496,350,568,750,938,219,484,773,425,510,032,969,231,945,344,
952,416,018,481,135,782,083,931,861,440,817,139,738,075,061,811,872,421,636,
345,869,835,345,002,012,524,125,204,252,057,002,730,937,609,309,357,813,080,
080,760,885,697,402,239,496,181,762,009,753,420,594,421,563,336,792,411,454,
735,102,583,282,919,177,634,617,598,442,537,066,773,852,409,306,629,016,350,
411,423,855,748,667,707,149,594,517,038,576,680,553,710,284,813,405,514,245,
483,987,084,821,684,987,459,906,459,450,201,732,524,884,691,349,253,297,999,
497,938,523,365,168,994,845,039,125,902,839,753,643,786,685,408,734,905,979,
072,204,005,935,288,312,317,704,395,339,228,398,977,330,722,865,458,925,312,
703,513,597,570,158,970,069,028,163,801,913,764,623,464,854,146,395,416,508,
282,616,866,727,116,574,595,731,411,100,981,280,952,668,871,108,362,667,785,
019,943,870,791,796,558,891,628,005,825,758,459,763,356,349,055,498,516,285,
029,402,107,467,773,999,261,037,191,299,054,065,838,275,188,800,647,020,727,
748,171,244,397,210,675,317,958,874,477,303,390,272,617,418,088,044,767,075,
802,103,472,922,914,388,145,811,593,204,724,834,856,580,769,661,774,775,412,
126,819,124,963,982,363,522,020,668,143,200,240,413,256,675,859,185,545,139,
684,122,417,987,936,583,756,506,306,523,963,100,097,289,366,061,207,605,528,
697,981,502,404,563,171,940,115,080,353,778,679,776,633,419,468,172,116,557,
508,909,952,570,890,243,576,222,569,578,559,108,436,219,216,266,836,759,846,
736,983,781,315,425,843,624,039,054,322,315,017,883,601,992,189,552,242,054,
261,299,286,791,438,459,135,074,610,316,526,506,301,682,758,740,678,838,935,
199,766,244,832,572,863,711,523,748,641,483,418,390,732,748,846,638,996,099,
513,498,260,991,986,808,444,076,182,707,412,649,250,593,979,777,812,007,875,
904,956,191,598,687,268,831,418,085,958,572,392,780,032,616,034,060,762,968,
582,036,020,879,398,516,061,253,260,658,742,851,219,454,776,841,345,771,113,
525,316,762,630,983,482,865,160,235,415,788,691,194,129,727,471,561,605,683,
719,375,251,475,868,669,117,432,944,619,907,950,981,820,954,381,465,794,294,
433,859,497,310,651,724,755,966,480,815,914,737,133,127,437,264,309,872,659,
840,500,107,642,881,677,300,033,811,395,561,627,709,053,649,444,302,373,924,
204,871,812,320,128,362,626,017,053,020,471,186,149,522,493,729,969,697,019,
558,342,938,205,319,190,080,488,388,136,499,140,294,056,983,604,552,535,760,
812,816,919,514,649,601,302,100,741,850,433,390,339,993,598,235,960,628,461,
080,860,397,688,714,480,489,700,412,832,603,114,425,861,771,515,477,180,529,
705,767,127,425,553,488,480,464,563,563,888,016,287,352,929,112,721,954,572,
330,795,649,153,354,219,450,838,722,860,115,250,250,897,838,144,543,223,648,
667,806,868,734,945,867,549,425,440,946,570,676,185,194,958,943,891,836,440,
959,339,157,743,741,058,582,218,310,904,925,990,530,985,836,310,575,369,288,
643,343,719,448,789,411,341,561,391,137,141,094,292,060,285,486,699,158,378,
906,984,476,169,499,843,558,079,939,948,087,426,306,397,086,879,326,468,501,
323,220,248,929,061,600,903,417,391,612,573,668,482,613,761,724,199,502,990,
657,737,040,839,773,272,898,801,620,659,943,292,484,183,997,900,610,555,418,
343,493,130,950,790,585,333,135,436,724,995,713,475,010,410,879,088,494,533,
791,782,231,844,788,832,961,769,266,594,106,427,497,465,301,524,054,244,677,
894,804,997,761,854,405,240,450,068,275,490,179,245,531,579,302,917,540,204,
629,700,328,022,083,358,394,528,219,202,059,020,840,820,877,153,073,761,203,
493,974,218,642,222,918,332,228,011,009,387,501,601,175,085,728,266,769,811,
745,351,341,727,728,965,030,109,696,738,468,740,469,226,135,962,876,217,421,
670,619,457,672,351,522,395,814,645,316,546,973,803,717,350,319,625,390,151,
588,279,315,185,580,573,516,385,605,402,487,677,300,865,800,535,148,985,390,
660,154,906,475,885,036,150,440,004,312,480,956,038,868,788,974,910,448,948,
341,022,213,613,892,324,887,176,640,385,034,677,057,590,628,951,872,923,860,
237,802,832,759,651,485,337,760,573,070,337,039,410,738,142,731,305,107,996,
546,694,858,613,965,135,282,089,410,157,060,705,439,194,218,522,203,971,378,
797,514,568,157,967,038,080,965,195,359,248,466,628,832,517,522,082,328,614,
862,769,147,380,540,620,277,782,680,077,604,624,263,108,508,981,143,485,093,
129,279,691,428,963,928,917,719,142,436,493,160,340,422,356,162,950,003,198,
213,871,250,671,984,719,584,553,469,532,424,165,407,698,731,778,746,316,352,
287,986,657,678,352,087,968,140,616,890,678,503,640,589,799,461,555,278,601,
620,155,245,983,221,215,867,444,910,092,211,937,345,685,768,872,874,138,715,
587,507,731,028,264,795,950,440,506,480,144,722,239,632,023,186,799,240,420,
575,091,464,350,363,607,979,346,004,719,871,524,747,975,899,668,447,822,618,
925,378,619,786,252,492,680,916,010,050,619,310,810,970,160,560,839,443,178,
068,793,620,495,220,168,859,645,662,608,415,597,416,689,793,652,775,002,399,
162,776,257,067,442,994,862,413,877,963,339,386,707,373,392,484,485,348,394,
832,464,827,787,770,743,649,407,941,763,122,863,158,942,277,896,774,652,963,
260,239,216,620,339,738,193,229,713,504,376,665,240,082,399,514,815,690,629,
954,300,175,456,709,988,791,744,124,427,417,679,528,242,033,887,534,350,703,
693,273,365,198,872,937,451,531,061,337,369,797,566,115,081,689,429,318,423,
004,178,479,550,467,534,597,318,123,059,953,983,397,049,996,165,827,429,082,
979,589,094,883,979,886,869,319,094,969,007,038,762,312,678,483,383,084,181,
485,111,791,784,348,828,648,682,688,673,479,505,119,063,400,801,190,921,401,
159,657,901,301,429,618,229,571,075,765,884,793,603,466,246,538,363,065,348,
774,568,275,738,158,999,095,100,571,599,336,001,862,700,306,677,695,854,309,
577,231,645,955,201,083,470,467,379,135,216,669,791,531,309,683,926,692,911,
767,611,262,887,334,126,983,604,243,810,722,515,129,320,584,724,861,898,701,
249,174,815,136,348,278,512,333,863,790,594,104,503,147,720,918,151,112,279,
373,490,889,216,357,046,833,960,287,478,716,287,964,615,775,841,772,235,448,
141,144,798,489,372,880,337,397,103,446,506,960,251,313,221,445,795,109,282,
103,792,334,137,072,894,629,185,927,732,891,897,924,078,595,318,038,755,193,
226,353,722,082,371,453,081,062,741,713,401,079,189,241,581,671,277,187,820,
685,323,667,243,894,048,361,062,732,636,956,016,835,764,609,848,021,546,336,
966,592,016,376,966,666,814,507,162,331,921,291,504,918,257,335,744,002,948,
859,477,292,614,794,799,630,050,492,738,214,396,436,877,169,940,513,392,722,
407,737,029,749,283,714,141,082,382,969,768,110,372,684,851,062,478,431,613,
257,493,899,076,029,541,083,521,975,735,195,759,407,058,780,066,894,675,979,
384,563,650,666,632,557,416,276,637,042,392,893,227,482,335,203,637,567,204,
052,208,457,620,291,426,332,732,710,489,967,997,044,989,620,500,429,062,535,
310,449,602,275,921,370,220,723,096,717,962,034,899,688,973,293,434,747,469,
008,701,644,049,297,049,544,983,193,607,188,000,808,787,979,919,284,201,540,
012,209,512,824,923,821,034,622,179,198,774,024,662,456,574,016,627,081,905,
320,426,024,528,645,764,180,766,573,330,854,345,746,297,214,370,687,915,746,
984,094,178,561,860,691,967,600,719,325,125,723,202,917,772,712,613,977,656,
953,186,146,119,523,315,098,192,259,585,463,675,897,550,767,386,551,742,278,
107,381,944,340,728,894,829,636,681,464,976,305,102,385,256,847,270,808,367,
829,878,887,570,082,207,647,332,092,991,850,406,000,121,037,647,259,783,581,
017,454,630,128,103,965,773,802,202,525,803,224,692,452,505,832,550,614,182,
086,329,967,067,382,102,088,848,529,756,674,484,304,544,631,204,216,696,275,
186,899,906,748,747,028,167,167,994,188,167,114,689,688,031,585,808,053,764,
129,556,585,238,591,540,049,751,083,458,938,783,572,196,330,633,966,585,541,
567,294,095,285,508,425,951,203,527,045,470,972,779,474,471,973,374,095,109,
130,039,624,432,155,959,706,670,735,745,574,778,344,546,326,742,304,328,017,
283,127,193,811,694,075,619,652,932,554,827,750,571,895,022,563,370,183,499,
790,547,512,260,651,575,549,992,079,829,929,514,323,432,685,740,504,829,447,
249,440,753,213,952,265,892,620,194,012,363,973,057,145,731,491,424,687,888,
436,316,717,611,587,251,584,034,912,678,686,115,698,860,336,563,939,284,245,
797,246,639,511,455,095,801,569,013,254,095,290,438,831,014,842,809,549,446,
565,841,018,445,057,609,098,641,353,458,393,900,895,904,666,908,147,944,264,
131,802,878,202,207,581,237,859,649,900,231,874,421,670,796,108,231,824,613,
117,581,444,423,621,426,628,315,326,022,128,763,787,666,100,758,569,426,812,
657,571,508,521,584,507,015,800,208,845,948,520,802,517,523,669,908,414,632,
329,305,377,064,802,250,951,163,444,109,063,614,390,738,461,840,031,125,952,
457,945,381,464,012,491,809,998,691,724,868,231,668,425,537,275,806,758,980,
073,807,669,463,093,542,253,584,918,609,127,595,577,117,167,634,916,724,967,
707,254,508,629,131,534,803,220,650,885,447,398,777,733,105,894,583,007,787,
922,264,425,743,000,956,952,631,155,679,877,255,920,715,196,406,172,322,313,
735,004,846,955,164,073,022,360,616,685,611,592,308,792,076,507,058,356,044,
620,285,882,077,407,859,528,205,669,478,683,433,529,404,331,900,836,529,746,
946,291,581,012,480,515,635,446,995,466,409,650,690,116,906,389,313,778,751,
163,592,379,687,550,666,882,564,235,066,681,691,069,882,515,922,176,980,771,
562,556,327,431,446,640,007,948,229,191,847,469,767,065,932,720,398,905,477,
101,268,522,870,739,004,156,962,786,643,124,999,025,041,426,003,985,662,028,
315,512,507,929,817,160,812,301,582,367,093,844,310,718,575,142,650,302,755,
620,326,014,287,444,079,917,542,018,142,864,074,512,868,601,904,314,586,779,
012,172,118,094,681,163,320,346,961,729,956,583,884,415,180,404,229,296,998,
571,357,210,277,421,118,457,642,630,604,466,993,450,598,466,137,075,005,921,
783,419,979,913,658,009,215,616,470,694,333,476,175,213,703,341,527,879,285,
870,560,438,556,609,640,991,033,835,257,187,024,586,272,344,206,319,619,230,
908,350,007,959,166,916,985,709,501,696,102,794,243,053,330,610,400,845,452,
538,654,284,363,507,056,824,170,103,023,680,184,839,932,482,068,959,657,496,
247,603,724,056,596,967,428,318,163,734,881,328,074,181,608,607,936,117,079,
424,190,141,157,409,095,989,661,017,886,574,670,771,043,162,793,253,007,176,
465,376,073,879,543,480,920,955,655,318,419,331,306,064,165,946,061,618,815,
338,214,058,404,415,881,052,977,521,190,994,660,913,042,288,483,496,322,462,
103,627,302,679,193,079,188,639,067,853,323,702,278,447,331,890,480,417,814,
239,216,183,205,858,035,564,748,864,089,690,413,854,434,170,169,083,161,558,
475,531,570,845,045,498,571,803,045,462,135,341,256,647,141,097,490,614,909,
360,175,406,961,810,329,819,047,038,825,833,034,775,794,913,512,276,519,002,
960,689,609,219,808,250,911,193,857,250,455,202,530,647,221,915,119,763,243,
699,308,150,895,175,235,579,196,763,627,557,410,116,976,351,873,783,528,599,
292,242,017,399,173,470,100,740,096,713,911,979,033,892,550,216,328,358,069,
576,934,699,804,860,743,305,633,416,469,904,015,256,829,620,819,541,918,520,
111,033,107,990,860,818,853,059,143,146,373,578,176,817,919,234,466,393,867,
413,221,680,360,714,898,252,537,216,940,804,256,851,333,920,368,033,584,556,
197,965,936,797,108,773,929,601,958,390,762,963,873,927,952,913,079,815,122,
419,534,432,539,919,204,266,625,112,668,961,212,726,877,606,275,062,580,642,
353,157,549,960,055,320,000,269,246,214,506,419,752,876,436,561,068,438,804,
739,796,467,929,940,863,950,841,123,842,944,568,037,657,401,304,555,687,532,
761,226,898,593,016,081,572,671,716,446,330,703,607,499,818,438,218,145,164,
571,207,063,769,192,708,606,919,708,106,472,989,660,109,655,433,156,210,087,
918,231,813,212,421,101,625,951,390,974,281,032,473,570,945,792,543,555,743,
116,871,299,349,586,316,399,979,382,687,300,663,103,609,901,410,148,352,850,
360,274,784,356,681,051,764,342,487,922,497,289,760,778,696,443,405,571,392,
410,048,276,255,627,037,605,567,533,371,852,544,385,657,944,670,600,318,314,
115,874,572,471,438,770,332,921,126,049,280,474,054,621,234,163,025,767,523,
491,448,114,016,695,088,390,330,490,984,641,325,050,966,598,352,525,027,433,
589,128,798,855,034,533,745,144,172,794,253,184,158,247,802,919,865,417,966,
912,960,484,949,044,026,507,214,535,458,933,138,780,306,147,601,627,538,321,
052,324,695,975,469,160,007,079,942,782,501,396,915,807,656,999,555,960,397,
015,626,548,618,008,162,756,101,574,634,183,451,095,199,854,145,356,628,437,
091,276,103,976,437,895,049,483,505,882,839,316,361,842,991,653,732,895,433,
552,384,368,150,819,446,854,022,009,619,579,218,741,628,546,152,047,054,049,
660,169,634,117,656,833,109,648,145,026,591,301,499,437,533,798,198,344,943,
321,661,063,128,403,325,890,005,049,389,218,268,790,582,373,468,633,040,399,
688,159,377,512,468,552,288,885,173,717,080,320,551,647,765,597,367,088,648,
709,189,286,618,349,916,511,647,173,956,492,608,586,186,963,549,725,885,790,
680,423,423,218,190,777,379,852,311,656,755,417,311,125,561,471,159,066,147,
936,265,070,058,096,438,813,315,559,724,275,117,866,274,032,829,191,843,928,
339,342,944,249,477,759,184,684,029,745,479,876,108,122,741,848,522,847,698,
186,568,345,683,487,429,051,448,412,824,741,180,047,385,396,029,916,081,980,
429,685,222,226,674,660,062,885,800,679,285,182,154,131,634,869,397,792,697,
286,970,707,592,934,744,948,669,973,928,603,551,140,195,500,101,635,464,285,
027,811,630,549,584,564,980,463,125,347,112,002,294,529,712,149,261,431,230,
196,003,519,909,205,909,861,670,471,088,462,941,358,721,634,649,732,317,474,
411,382,718,561,506,030,179,758,049,293,158,415,166,887,650,180,872,081,675,
701,716,345,388,119,619,319,710,457,735,417,174,948,630,268,017,633,612,415,
141,572,782,183,407,944,274,013,935,652,648,951,850,831,445,171,601,174,143,
451,302,704,458,214,938,814,519,238,096,551,336,751,215,668,070,604,994,121,
164,647,970,176,950,933,486,465,860,648,315,692,852,933,398,916,825,676,824,
266,959,052,740,266,284,296,968,211,046,984,157,640,736,009,565,056,154,011,
002,437,801,988,952,248,304,522,789,720,872,350,076,234,864,324,027,269,986,
821,894,442,703,393,227,862,660,901,191,688,631,267,817,167,563,488,050,876,
320,876,031,571,518,572,186,696,347,888,460,696,489,591,110,822,354,701,207,
089,170,431,264,767,854,879,534,513,760,944,814,891,438,781,309,219,762,373,
660,527,054,414,618,294,076,283,054,996,590,607,651,180,270,640,621,085,995,
847,621,775,922,375,452,805,353,745,820,449,522,585,805,152,608,439,008,188,
463,299,994,848,058,714,703,475,423,249,533,374,419,380,226,002,511,356,431,
510,072,481,551,027,692,374,559,165,966,888,622,394,986,519,491,441,673,060,
832,251,396,602,057,289,804,755,644,536,954,216,630,867,939,604,743,703,885,
678,770,088,544,353,477,566,849,204,896,951,917,401,812,371,758,003,266,043,
547,729,852,926,312,261,372,417,840,301,205,898,054,207,771,173,006,428,762,
219,309,572,444,236,900,951,602,840,937,653,338,880,004,874,724,867,324,940,
031,369,851,157,231,863,181,254,986,780,509,958,856,608,711,649,210,780,840,
341,000,356,295,906,455,787,499,212,744,235,589,049,911,931,563,934,903,851,
551,585,191,583,249,479,010,224,950,731,444,372,886,200,764,113,415,651,774,
398,447,630,224,111,121,915,390,467,976,954,530,460,925,328,413,756,844,099,
040,597,283,109,151,295,510,534,974,021,743,645,039,971,139,179,093,033,699,
587,194,421,730,479,618,504,429,027,708,526,153,822,686,631,186,422,928,322,
854,948,727,541,887,410,362,237,434,777,432,370,697,129,922,814,399,927,256,
575,560,465,061,606,591,192,570,607,117,122,586,426,771,643,939,690,061,918,
651,691,115,024,315,285,016,054,060,391,369,476,104,860,843,251,014,899,454,
052,790,169,595,300,651,339,324,268,355,935,132,953,770,155,236,931,507,221,
732,564,221,767,963,480,186,636,404,231,005,599,467,680,935,152,806,025,597,
651,500,235,511,289,700,214,938,820,083,784,902,184,778,381,124,810,168,560,
182,512,809,159,627,304,118,745,007,246,512,096,531,536,576,248,269,049,876,
945,834,925,245,181,330,528,430,142,104,959,859,325,602,834,290,263,302,274,
060,586,031,946,338,971,397,643,131,348,438,063,155,306,815,353,833,277,219,
966,634,551,158,403,097,628,205,316,637,335,443,569,544,881,123,004,746,876,
949,231,636,610,799,057,135,094,629,521,830,671,180,226,898,350,464,607,091,
870,455,240,942,861,218,128,471,184,480,059,059,156,850,155,154,259,887,902,
911,696,198,442,742,443,047,047,461,921,461,731,865,720,966,500,572,633,218,
155,285,056,405,266,960,915,472,181,474,136,207,889,864,896,099,164,382,986,
766,604,458,282,423,779,084,038,806,037,411,792,082,123,382,141,705,095,735,
485,763,926,371,261,433,522,635,630,067,359,492,870,619,931,697,960,035,109,
486,948,953,676,202,104,449,367,490,375,310,176,315,227,020,447,099,839,149,
406,430,740,882,165,396,345,266,228,726,852,823,088,220,210,374,058,808,141,
833,368,133,019,774,621,700,856,529,341,891,963,695,897,986,311,468,279,901,
893,003,688,908,651,641,036,127,187,422,080,238,369,104,090,694,586,755,389,
014,655,833,432,168,058,265,706,662,214,454,865,792,287,489,749,544,142,595,
236,818,072,179,303,696,316,376,349,700,326,080,533,199,337,942,950,100,092,
988,809,342,083,139,314,722,754,343,556,907,002,986,738,188,705,021,589,979,
209,629,738,049,266,379,403,033,960,164,458,030,083,320,334,681,358,057,869,
590,629,538,074,863,682,595,774,063,667,732,037,159,376,108,950,396,513,488,
566,994,870,347,759,540,106,498,505,768,868,507,171,022,952,609,774,710,555,
282,883,807,857,963,622,250,336,909,899,185,558,960,657,591,372,578,596,041,
780,479,135,251,750,107,379,847,294,823,228,809,430,395,969,294,472,216,933,
362,182,221,402,120,010,495,889,670,978,344,037,450,157,506,563,135,049,733,
867,243,949,929,213,041,508,218,389,153,598,912,331,535,934,802,016,494,026,
022,882,515,123,158,673,282,384,129,831,571,525,446,324,648,980,999,611,535,
332,390,701,218,394,099,408,216,425,780,353,500,784,392,213,933,951,760,465,
825,769,917,831,091,014,561,338,039,239,786,333,417,278,189,886,180,314,270,
936,138,489,456,709,258,603,698,385,889,900,834,191,969,615,105,998,096,769,
024,850,332,236,115,842,562,869,003,976,736,146,569,411,240,703,189,271,146,
885,973,255,307,182,829,179,038,267,302,512,687,165,613,528,462,624,639,450,
315,231,328,324,692,992,705,684,858,091,525,605,408,429,611,537,533,867,123,
946,003,186,417,145,587,676,035,922,590,388,870,459,044,093,936,688,621,290,
914,170,172,882,649,090,465,789,163,697,135,134,064,352,127,998,418,689,703,
758,421,077,662,260,584,602,539,248,550,041,501,546,835,109,254,441,084,166,
479,288,207,625,642,170,079,470,268,542,462,811,240,184,385,887,867,694,465,
451,706,946,545,769,285,374,522,872,080,703,091,917,989,899,687,365,163,008,
178,055,619,034,183,384,008,590,708,188,362,513,843,330,875,681,544,884,172,
621,615,694,984,531,003,052,751,652,461,519,619,363,777,772,644,291,208,198,
874,656,145,840,847,729,155,750,115,780,771,016,307,493,130,112,664,761,775,
716,872,947,158,703,021,887,024,062,894,902,234,902,025,559,884,313,087,114,
250,665,779,235,077,148,772,240,936,957,184,444,196,402,002,255,946,715,334,
248,323,266,082,185,220,218,306,091,785,617,522,783,486,040,407,638,393,944,
356,729,129,959,076,309,647,773,334,591,424,328,800,594,784,504,298,456,726,
352,474,282,832,547,059,007,397,746,519,388,566,136,825,335,126,166,027,745,
336,591,513,777,103,245,282,463,890,842,436,970,322,419,783,817,979,204,700,
169,397,266,240,244,671,272,223,990,603,416,637,249,531,907,797,437,328,106,
244,683,776,242,452,586,981,259,644,964,268,991,787,866,501,191,337,725,037,
396,089,070,884,252,386,138,414,305,001,297,096,226,474,200,117,490,718,027,
127,235,087,630,336,098,853,876,859,379,326,767,283,050,956,045,298,835,799,
104,278,780,927,641,288,663,646,272,273,224,395,101,171,454,261,285,184,848,
019,567,378,984,805,933,288,577,371,952,024,088,583,060,456,730,758,934,045,
777,139,417,145,136,213,438,629,691,252,041,327,680,234,097,774,524,415,238,
697,089,026,422,829,268,053,939,911,140,168,117,078,941,458,755,159,853,384,
031,693,232,752,691,906,506,601,204,749,397,790,830,587,347,914,590,357,690,
646,949,236,179,510,058,284,422,220,805,718,047,924,116,870,459,422,151,265,
003,417,613,355,667,438,836,438,967,676,777,109,617,598,641,842,389,835,778,
726,857,292,012,669,789,989,225,697,468,554,099,445,344,336,110,191,681,412,
087,343,998,178,676,384,809,358,148,024,451,702,212,671,096,606,916,070,806,
671,391,143,146,704,762,972,083,266,793,334,723,057,027,581,936,036,348,728,
817,062,639,479,685,998,533,465,903,734,466,472,211,260,987,094,625,048,890,
932,079,032,006,393,473,254,335,565,384,669,470,984,701,960,564,445,653,153,
893,320,911,955,767,087,969,039,871,528,877,422,180,306,718,665,006,777,709,
703,037,191,933,448,607,473,042,457,969,726,253,754,081,073,801,006,751,253,
059,683,068,853,060,990,628,167,001,657,983,618,205,454,012,687,652,243,477,
762,373,718,464,547,874,677,662,477,700,893,028,990,437,702,110,789,455,019,
524,263,496,407,550,984,708,073,784,386,524,761,377,291,805,842,247,803,283,
918,199,947,507,362,634,735,608,448,453,725,628,933,849,995,995,188,819,084,
350,806,114,044,125,087,244,815,938,898,603,581,799,806,578,738,553,663,764,
116,672,187,743,468,675,648,413,285,132,247,896,287,732,832,277,182,982,892,
597,683,259,906,712,271,204,572,117,866,350,950,387,680,519,638,404,720,572,
096,903,816,422,116,919,082,977,818,510,619,470,768,744,958,150,301,860,623,
615,532,612,620,641,286,075,259,097,207,343,140,817,841,390,166,759,958,425,
253,439,835,149,683,314,545,339,113,567,793,000,894,423,317,655,777,273,398,
550,385,195,325,156,531,451,873,685,455,389,035,321,289,339,501,135,393,778,
063,863,749,347,194,252,890,855,229,100,717,113,104,758,197,340,116,436,003,
458,937,053,225,218,313,852,347,431,120,717,034,840,571,784,987,368,502,827,
999,792,433,824,337,628,711,688,573,522,867,029,706,852,279,122,198,794,098,
353,743,671,747,301,005,556,666,156,442,955,697,523,120,990,744,175,416,417,
944,613,845,263,230,879,273,327,040,692,555,475,800,173,712,715,010,483,525,
387,739,245,797,410,567,431,624,480,698,223,602,983,547,452,939,905,554,702,
666,626,717,610,780,129,082,761,700,048,976,989,203,506,455,124,428,171,363,
328,883,046,837,323,484,607,481,592,631,291,511,164,427,670,424,345,049,864,
779,279,695,036,025,136,023,850,200,466,850,956,553,982,849,005,943,968,515,
725,794,574,846,565,406,026,967,539,994,478,571,398,680,611,991,628,169,126,
537,568,295,668,591,927,009,121,450,405,966,061,218,981,364,073,639,265,958,
875,571,323,456,532,995,835,092,197,587,141,916,328,844,727,418,244,576,865,
113,446,526,858,332,113,993,922,677,426,865,796,499,675,984,506,269,477,555,
770,574,105,948,515,423,112,043,251,256,427,448,283,630,821,326,907,373,199,
046,007,008,730,917,089,844,062,424,631,477,754,798,213,444,837,229,002,910,
644,448,195,717,664,521,874,924,294,890,864,184,151,802,201,607,071,412,927,
600,678,962,614,743,713,257,855,742,832,851,306,571,596,073,375,120,456,093,
265,946,208,194,298,340,002,899,804,289,301,361,257,275,792,712,626,554,447,
951,702,294,484,467,853,722,991,688,690,707,233,262,574,134,029,447,666,907,
606,631,099,494,222,627,093,154,269,838,215,286,630,037,612,037,072,891,554,
225,573,619,759,265,369,775,835,973,680,742,650,206,126,835,678,396,483,356,
483,985,290,996,678,599,195,254,577,192,653,637,727,995,670,277,463,265,622,
172,356,133,597,120,983,917,415,821,921,055,455,124,508,275,278,956,246,635,
473,525,764,775,165,048,849,476,514,646,005,548,367,323,473,078,462,768,799,
997,893,455,646,544,109,818,951,770,240,301,104,239,655,215,485,146,464,384,
855,124,071,399,424,416,202,180,825,592,992,533,370,502,753,500,200,230,285,
971,727,635,260,457,575,966,346,975,629,878,409,528,837,987,432,539,322,571,
602,038,595,719,118,548,443,978,989,976,708,475,921,478,715,384,396,282,511,
890,722,114,245,968,941,697,052,489,471,009,760,197,410,996,600,611,979,164,
632,796,328,941,076,306,561,546,835,030,030,752,396,598,046,232,192,257,643,
375,064,664,588,957,748,332,160,564,440,155,465,378,207,067,598,631,823,439,
292,889,991,134,336,796,136,016,529,031,925,032,521,299,110,993,506,263,039,
006,835,670,188,501,577,069,182,859,848,082,202,614,997,407,203,405,758,041,
824,862,906,829,290,626,049,503,864,944,265,438,776,752,343,364,441,023,878,
534,671,764,588,728,734,332,025,858,813,113,582,289,299,736,269,025,006,171,
079,001,049,912,955,065,674,370,181,719,928,011,679,937,999,117,517,718,663,
744,205,229,975,071,728,608,020,317,231,799,050,956,242,716,827,417,750,258,
997,145,861,188,218,140,468,351,294,624,208,742,319,458,575,157,676,972,987,
787,312,790,646,436,941,681,028,238,252,452,977,113,440,938,542,546,912,999,
693,139,315,085,860,776,762,625,194,166,823,791,023,812,816,319,402,550,947,
291,834,151,301,664,463,837,490,814,123,373,195,794,070,377,584,155,462,445,
165,807,521,593,445,825,642,262,732,459,353,437,391,091,587,373,978,107,355,
784,241,559,936,645,219,627,655,176,269,780,724,661,675,695,355,939,399,097,
056,142,518,693,057,766,306,463,789,910,395,888,953,289,445,440,222,820,510,
826,586,183,572,109,723,761,074,698,787,296,061,937,955,012,748,116,299,044,
473,603,374,336,152,154,918,288,114,035,946,317,811,088,289,204,564,736,045,
202,626,893,953,472,895,919,092,199,361,713,177,408,076,255,201,282,101,846,
813,875,209,891,597,789,516,210,397,697,550,625,031,264,847,737,585,507,423,
436,246,857,720,761,534,714,155,380,094,636,389,192,282,941,979,050,717,073,
091,569,499,580,205,359,092,671,073,975,267,160,803,054,465,961,406,263,110,
402,067,981,215,730,138,303,665,210,624,721,001,584,004,390,363,408,411,663,
449,175,636,049,196,490,352,047,179,816,249,225,910,022,283,001,371,441,592,
756,589,840,031,111,571,304,387,096,288,610,061,349,114,306,090,809,634,932,
445,913,607,133,144,057,530,782,151,483,380,714,415,822,933,095,155,686,180,
230,403,541,014,277,063,442,297,083,401,729,568,436,704,243,546,797,926,403,
824,880,475,007,320,882,141,989,489,642,784,366,604,449,592,967,919,756,073,
818,653,476,859,329,842,706,917,226,354,487,202,645,461,390,677,161,249,400,
372,569,758,890,721,959,694,083,838,067,245,542,487,705,859,992,884,023,228,
701,821,629,617,315,894,832,346,734,528,946,156,946,139,144,253,352,195,572,
117,640,654,746,572,531,734,812,021,122,705,790,778,031,675,533,238,038,130,
255,194,623,929,567,880,637,572,100,667,540,371,016,601,003,762,462,990,638,
670,405,688,854,249,147,936,927,823,371,459,726,969,474,404,045,180,940,164,
467,262,530,407,847,662,609,955,505,148,345,107,038,381,719,510,135,385,698,
492,239,359,658,227,712,555,184,811,621,265,078,388,461,835,496,050,703,511,
796,991,170,868,161,675,500,464,725,866,049,067,114,245,166,021,006,674,095,
343,632,033,805,744,183,884,300,688,834,571,147,374,987,824,028,464,846,933,
158,036,566,467,573,852,058,244,424,543,596,067,318,639,178,838,830,966,942,
982,929,225,573,836,957,081,085,678,084,724,281,360,220,458,154,185,157,722,
920,100,972,273,345,829,184,239,291,912,744,409,811,143,846,902,686,624,481,
736,986,266,100,593,579,741,671,569,375,883,485,378,228,429,249,154,256,308,
252,731,122,229,446,142,232,558,818,530,133,568,698,435,829,598,006,855,538,
382,542,095,711,601,425,905,771,182,324,707,898,937,041,100,443,504,290,930,
290,623,976,448,203,334,769,882,647,423,891,368,996,371,138,041,729,550,724,
467,524,755,873,859,570,427,837,635,781,963,460,132,252,003,286,489,454,400,
704,180,589,430,369,649,521,183,243,155,937,531,876,359,007,143,681,677,506,
099,069,060,977,416,338,972,261,973,548,247,273,745,827,484,044,027,512,822,
599,864,721,973,841,369,180,465,686,110,131,922,600,335,823,829,470,686,329,
719,838,983,791,464,365,499,932,183,254,010,804,001,214,771,888,728,502,226,
556,360,828,785,319,487,187,005,772,081,262,324,593,846,388,862,371,393,578,
322,002,139,030,553,287,885,506,527,947,886,326,222,939,310,550,377,794,595,
878,532,040,916,739,944,574,608,197,940,577,236,396,600,647,675,614,719,013,
353,543,860,017,033,374,062,578,842,440,775,996,064,266,544,919,801,571,120,
081,424,547,373,600,337,467,174,314,740,971,754,243,864,185,731,846,089,846,
781,528,030,179,854,606,895,481,878,842,651,802,657,179,101,535,679,034,689,
229,597,739,232,724,534,567,959,913,974,681,809,130,448,349,096,372,732,853,
776,162,377,536,887,734,438,807,564,212,345,699,027,386,241,997,207,531,998,
554,150,035,971,303,804,550,081,092,417,343,149,748,931,749,011,827,491,232,
748,212,159,338,689,027,184,286,731,940,139,046,748,545,792,711,296,499,904,
936,560,430,240,971,344,694,496,428,587,750,307,638,539,157,306,165,082,794,
847,886,547,439,556,538,933,983,150,562,541,452,329,366,721,900,773,764,267,
079,324,996,949,328,946,527,822,283,324,744,804,780,103,249,650,237,987,443,
546,264,724,134,232,553,120,442,109,297,359,358,724,960,832,233,444,071,565,
075,160,849,352,019,121,619,624,333,704,823,026,876,135,534,080,999,918,881,
492,204,639,549,222,794,837,740,653,072,057,942,407,852,635,268,689,398,105,
313,552,123,641,722,809,643,040,910,463,639,210,857,861,155,939,424,401,757,
923,387,544,242,933,364,087,144,667,534,194,915,445,124,877,177,392,460,840,
432,030,560,425,277,667,414,005,488,966,517,904,925,253,459,596,108,283,249,
431,020,753,731,176,611,599,810,822,772,747,330,895,784,799,153,001,976,235,
943,775,005,509,674,731,693,011,245,169,633,577,046,872,225,267,959,933,250,
284,347,686,570,616,486,944,387,919,839,322,138,525,807,693,603,092,147,873,
540,968,361,331,600,797,185,032,716,013,364,775,939,650,716,280,187,260,838,
900,841,106,609,397,514,255,551,336,527,426,676,740,632,460,453,505,342,961,
486,569,309,816,124,601,507,891,455,450,070,525,733,679,692,193,910,229,747,
640,744,709,380,930,600,078,352,669,151,341,741,282,810,222,287,340,822,826,
745,864,498,742,996,790,693,228,349,578,518,787,904,952,433,862,994,799,028,
763,358,920,105,660,174,649,464,576,897,918,272,692,177,329,992,049,826,405,
898,037,496,352,778,003,157,847,080,657,108,454,495,285,038,451,777,366,608,
264,261,424,989,488,509,333,029,105,276,360,103,386,169,070,659,699,322,656,
753,006,097,554,884,350,617,251,034,393,756,697,142,530,070,713,232,682,411,
208,125,552,906,565,274,574,618,424,543,373,915,207,350,669,051,871,800,688,
138,568,105,951,375,886,940,232,100,062,741,777,967,201,580,716,066,562,922,
498,130,641,294,225,018,537,803,393,267,378,422,241,823,728,918,947,178,546,
223,084,079,483,157,544,432,605,536,481,629,566,330,418,723,548,606,686,870,
136,379,037,888,879,291,186,699,307,012,138,225,624,173,998,562,726,544,696,
631,066,734,509,029,449,725,811,335,665,022,485,253,335,193,439,680,089,150,
955,460,517,160,993,888,604,301,396,440,907,001,289,941,562,908,681,040,169,
204,121,299,488,600,030,680,564,894,154,323,021,854,960,596,526,709,555,937,
581,171,780,152,282,642,963,796,339,930,031,286,714,452,084,004,146,739,060,
690,210,064,524,881,059,761,551,692,595,273,785,249,806,075,422,795,255,047,
174,474,965,085,048,529,333,667,720,255,794,454,660,170,704,135,717,540,096,
067,686,243,644,577,808,749,582,925,292,317,323,831,431,877,944,705,017,649,
153,805,172,197,672,780,715,337,716,067,827,530,710,175,583,608,509,768,004,
666,176,775,056,539,949,158,616,065,054,588,357,990,989,994,489,513,641,273,
875,294,419,026,914,598,050,700,766,575,012,063,790,275,196,352,441,158,647,
737,503,364,215,495,350,419,640,221,513,699,655,262,943,089,737,235,471,625,
531,727,701,935,760,249,359,775,259,527,649,917,545,811,298,661,512,169,091,
519,821,978,363,172,871,404,058,184,027,806,205,578,133,192,539,296,666,945,
542,175,293,885,255,679,228,520,226,473,973,035,447,303,217,292,428,535,872,
370,509,362,698,427,091,644,770,318,089,708,606,497,283,629,043,863,183,811,
285,929,497,422,496,872,987,014,572,592,993,887,028,969,136,262,274,257,506,
576,691,360,876,411,935,676,615,623,076,938,943,898,279,407,208,234,906,099,
297,114,575,923,096,918,038,070,806,103,895,804,439,921,606,032,722,106,021,
294,599,925,051,542,883,121,611,615,474,985,707,382,830,739,469,813,419,561,
249,419,423,257,433,595,386,229,316,401,726,167,399,320,002,784,378,220,595,
670,881,982,029,936,425,494,454,940,232,287,781,868,272,151,601,566,218,667,
849,245,294,329,667,814,856,260,177,105,705,824,606,175,711,181,030,814,692,
299,748,296,116,355,731,457,959,222,895,131,363,238,465,437,210,411,021,037,
631,932,764,783,704,973,587,761,349,804,714,757,065,633,395,016,927,272,190,
097,996,099,070,794,887,600,276,619,976,706,821,130,965,966,977,665,127,635,
919,571,983,001,366,674,443,673,901,200,968,454,700,938,658,690,033,342,723,
398,763,727,169,877,835,211,600,930,395,104,238,095,220,498,367,564,373,151,
105,656,825,628,144,333,510,415,177,722,319,935,406,742,412,723,982,889,177,
387,983,550,232,266,692,390,308,433,251,993,627,663,316,938,096,583,777,068,
887,508,030,212,971,676,470,286,271,220,427,811,673,419,916,097,784,157,870,
640,199,895,513,737,471,611,954,009,314,465,954,053,383,324,420,585,050,188,
055,356,036,334,471,018,988,307,723,316,063,248,267,695,261,157,370,505,778,
009,540,476,590,140,729,100,307,685,745,246,523,377,332,445,284,980,385,724,
143,993,855,070,632,007,697,488,758,437,642,647,559,961,048,000,259,358,202,
467,875,925,734,522,639,487,815,665,926,252,470,025,884,575,393,231,925,564,
541,836,925,800,126,659,282,177,514,529,051,101,639,135,875,988,085,072,075,
987,127,192,541,330,532,282,209,997,754,859,130,380,229,705,818,428,797,553,
872,127,296,186,979,754,041,496,614,778,902,848,030,149,541,209,430,662,502,
660,342,298,176,560,548,589,180,307,884,515,684,908,091,711,467,096,366,894,
788,950,229,334,821,406,913,541,817,145,159,078,984,241,157,762,184,515,255,
047,650,143,768,773,545,385,220,946,140,961,726,920,090,880,408,193,645,552,
876,126,933,246,715,585,459,840,766,732,749,728,653,871,830,169,401,047,312,
074,309,025,771,155,869,506,049,051,240,269,655,396,001,983,583,302,382,714,
052,427,747,615,015,441,826,548,838,785,497,619,077,089,435,702,272,364,416,
803,524,834,729,269,094,412,483,370,963,443,341,007,195,851,957,226,748,380,
127,768,950,415,682,076,642,683,330,857,976,328,682,391,745,607,271,820,910,
381,552,565,733,616,392,583,059,213,475,212,036,318,583,396,166,549,136,570,
975,364,946,608,902,139,718,600,699,977,314,356,755,553,439,498,656,708,565,
776,380,243,835,376,937,403,241,636,892,012,192,383,303,008,752,978,444,131,
091,917,549,036,013,667,781,020,990,182,470,587,245,961,478,602,824,800,586,
491,757,571,927,036,837,864,094,400,213,181,238,787,965,799,251,181,743,601,
624,491,440,121,542,301,624,082,279,789,901,830,695,330,186,071,488,608,881,
496,447,382,998,135,106,829,864,189,739,023,391,742,968,613,867,620,957,030,
147,342,978,258,719,797,429,380,954,550,496,003,244,137,714,693,451,823,133,
749,606,417,425,208,851,287,391,309,944,126,899,131,729,693,420,826,205,680,
226,355,850,106,669,006,905,103,642,533,777,601,370,296,363,729,039,711,021,
232,398,667,295,125,778,000,637,630,221,267,910,364,462,628,718,083,745,391,
561,674,606,869,764,584,400,264,202,759,261,032,687,332,343,916,834,898,710,
433,587,170,914,502,708,227,146,907,513,798,522,461,804,491,810,640,071,259,
199,885,711,040,056,430,778,839,221,622,214,952,774,105,242,776,328,208,225,
801,448,618,962,259,213,088,673,592,231,420,618,828,490,813,525,478,850,542,
194,652,451,163,288,451,980,386,392,285,226,040,204,211,244,348,863,970,531,
839,789,132,732,335,479,673,018,963,954,948,850,866,622,305,028,607,033,861,
717,420,349,279,968,018,887,655,827,548,957,279,771,300,472,570,349,406,984,
833,036,860,225,262,953,678,494,390,509,515,076,691,909,201,963,272,218,843,
665,728,711,151,343,282,941,503,245,761,529,618,474,985,517,109,379,054,293,
187,413,771,160,721,266,110,595,253,609,718,468,335,248,503,707,867,411,922,
362,933,963,801,056,831,856,460,116,116,231,262,219,028,602,626,950,777,507,
754,465,798,925,270,106,475,807,353,728,949,459,997,457,839,613,158,797,325,
695,022,580,700,930,332,423,841,424,381,767,690,764,630,296,392,524,327,104,
303,471,406,727,935,997,834,227,726,296,624,515,773,326,863,747,936,172,653,
660,824,780,904,767,810,696,379,453,317,435,242,519,893,849,036,322,870,558,
247,525,421,142,675,058,036,511,049,028,085,398,550,119,337,591,211,255,227,
998,821,205,052,675,722,071,644,205,785,874,183,350,983,075,241,395,397,252,
264,017,383,757,218,459,759,237,175,553,542,144,843,460,010,141,059,075,222,
417,336,957,888,033,981,217,836,771,391,769,736,376,162,175,995,121,100,912,
722,445,768,346,794,873,410,036,829,276,285,210,135,875,002,072,780,173,354,
237,109,164,877,262,335,237,887,153,287,145,025,765,289,751,140,408,647,962,
863,477,219,038,632,628,791,928,792,903,212,252,619,222,038,168,430,845,791,
846,488,003,119,050,230,161,328,843,396,848,441,410,239,682,629,595,523,436,
955,210,289,094,051,240,957,365,634,774,031,211,583,077,178,913,119,640,836,
297,392,372,725,296,262,645,875,114,968,188,333,607,894,938,743,330,093,067,
596,183,198,549,555,338,733,168,901,718,575,828,341,248,026,487,511,693,716,
874,709,306,460,915,139,772,479,732,490,439,003,513,465,665,942,055,671,856,
226,684,304,716,911,615,850,396,784,954,615,623,251,331,493,047,400,702,630,
645,171,321,305,569,848,138,396,758,651,329,173,686,458,172,123,754,211,362,
023,098,768,309,065,424,507,017,518,162,715,769,687,786,501,481,676,224,191,
791,850,422,350,407,300,798,442,002,219,274,118,941,354,497,406,827,014,716,
619,858,097,602,515,346,988,643,177,626,735,416,722,110,081,586,708,681,738,
516,247,436,308,613,284,678,081,885,090,436,296,958,763,977,401,389,593,040,
138,967,670,647,714,053,418,107,672,799,036,790,323,182,403,853,074,085,419,
465,322,926,796,553,286,093,739,509,688,099,693,703,449,375,855,994,416,537,
913,691,491,370,992,719,964,794,041,637,013,001,284,682,368,053,233,964,063,
806,864,362,167,512,208,510,877,716,061,178,402,862,646,268,486,932,371,680,
356,186,804,485,251,550,480,870,046,836,622,105,162,653,766,208,361,184,274,
212,558,760,802,011,008,739,270,739,572,056,460,443,347,525,272,177,958,428,
009,626,249,584,083,757,239,575,264,796,672,705,415,245,672,470,090,298,236,
534,904,304,168,137,310,500,653,852,245,915,720,923,734,903,524,959,678,862,
556,683,350,508,265,778,358,188,058,245,458,923,450,368,461,854,387,858,920,
651,645,867,317,342,813,329,362,417,767,360,162,326,401,567,477,033,253,989,
171,697,883,875,801,245,241,493,127,527,690,875,328,383,968,276,007,411,853,
714,069,253,144,411,047,271,081,055,521,927,557,613,523,462,746,745,125,434,
473,212,851,173,852,295,878,222,853,153,247,259,973,747,579,499,225,162,242,
424,743,856,379,931,412,851,698,030,524,738,542,752,652,121,860,741,819,748,
961,855,797,844,446,224,409,373,847,962,148,597,742,550,769,718,389,047,559,
033,957,016,023,952,364,762,921,720,437,256,044,880,152,152,025,626,422,695,
178,269,712,321,554,987,485,031,464,259,227,832,988,581,835,973,451,795,054,
955,780,981,957,284,409,447,665,424,277,549,363,327,517,746,572,246,202,445,
694,408,584,574,085,304,145,570,052,247,624,656,387,158,407,858,719,243,174,
918,629,178,418,689,284,913,456,895,716,393,932,185,495,500,624,303,877,592,
261,677,969,726,152,161,219,822,126,645,117,635,544,787,255,387,118,830,056,
423,380,182,711,487,409,264,810,718,904,682,806,507,953,336,453,859,386,122,
712,116,657,768,634,380,087,684,899,333,406,034,947,651,168,880,804,324,684,
701,320,913,398,710,437,710,461,003,010,777,608,565,458,443,006,319,889,963,
294,361,949,057,871,399,814,219,334,570,931,842,559,552,838,352,780,549,300,
341,744,544,915,997,753,208,340,371,203,419,824,881,058,190,556,545,147,669,
563,908,952,644,297,304,242,605,028,255,476,048,451,917,983,861,250,430,688,
565,687,686,290,941,512,220,014,637,150,328,065,758,644,878,201,862,129,943,
552,584,759,871,898,336,780,142,985,351,756,088,759,665,970,861,324,632,978,
130,106,119,207,946,011,657,573,877,283,472,390,509,254,658,677,316,635,469,
854,229,481,943,753,757,878,616,885,721,919,736,084,602,976,058,159,816,158,
613,048,626,902,581,120,238,656,418,258,174,440,363,578,678,245,775,442,228,
685,029,190,334,547,766,907,185,741,137,520,731,521,423,687,039,848,465,256,
092,810,789,505,714,608,400,859,589,404,532,318,590,278,041,783,211,042,458,
503,423,956,849,645,320,976,618,633,493,920,473,118,799,214,232,500,085,985,
702,265,478,456,840,337,290,216,888,779,234,762,708,316,584,305,170,925,593,
287,722,607,441,822,022,173,760,559,308,091,606,047,635,155,718,603,170,477,
957,864,790,269,923,361,091,755,868,016,636,092,072,206,943,872,727,142,458,
410,295,451,033,352,864,571,390,960,693,627,567,326,206,851,943,544,657,217,
741,786,621,332,786,148,076,984,855,347,978,670,636,488,820,828,696,648,467,
551,523,495,138,645,510,928,145,503,059,852,629,382,752,272,689,495,809,151,
568,975,428,201,060,098,811,742,529,270,395,514,439,348,255,899,772,583,905,
956,512,723,480,846,523,979,242,101,241,751,292,993,464,139,727,305,978,648,
420,751,475,573,299,595,127,392,097,650,145,285,135,477,371,456,697,871,131,
681,348,348,104,519,530,755,536,669,746,297,809,671,152,023,634,295,389,365,
052,757,630,936,900,190,683,775,507,596,633,430,294,785,708,992,052,529,296,
773,470,334,237,001,381,185,327,308,304,327,209,265,925,190,467,899,432,355,
779,382,674,687,420,139,380,886,859,056,222,282,066,630,590,228,431,178,978,
655,394,379,873,711,062,171,277,953,489,772,175,070,514,425,083,271,907,035,
507,263,505,305,158,578,385,967,232,698,284,346,343,329,320,176,480,209,466,
613,650,002,591,050,025,789,379,065,297,664,960,712,818,356,013,069,078,888,
381,479,188,465,446,172,961,394,257,760,439,218,851,768,714,349,843,955,754,
480,912,794,455,522,519,490,235,462,396,054,905,644,935,966,329,591,653,417,
083,412,319,972,553,498,472,686,657,826,550,238,965,954,352,903,558,818,221,
542,535,903,392,425,801,757,211,353,896,168,412,584,587,900,213,498,733,631,
134,092,759,971,094,660,355,744,061,654,758,468,281,944,821,610,027,241,444,
178,954,039,316,658,522,115,474,212,661,752,279,642,341,396,448,830,617,126,
364,335,259,749,740,076,541,776,741,295,887,606,379,087,357,257,198,350,066,
434,157,515,511,574,310,731,070,840,188,511,528,572,774,945,656,322,004,672,
595,997,669,103,768,368,853,424,656,686,490,042,870,179,075,621,120,962,940,
315,547,537,842,675,465,444,973,568,418,682,495,057,645,301,489,766,807,118,
262,462,943,447,825,213,552,792,895,839,164,363,325,356,069,880,487,411,792,
095,098,320,074,725,709,951,490,703,645,421,405,200,678,623,241,922,456,305,
526,166,291,171,863,011,406,840,471,174,708,378,222,345,519,902,712,571,460,
656,158,178,536,102,840,797,368,443,001,178,629,277,949,220,270,540,019,470,
146,386,857,586,878,574,235,067,214,536,487,997,246,713,331,947,725,629,095,
282,781,009,932,284,227,736,238,818,704,366,442,794,218,294,431,085,289,864,
176,156,879,365,924,728,658,735,703,276,536,342,272,732,600,246,324,404,832,
156,296,660,934,373,142,133,238,266,998,519,413,658,593,035,166,371,795,931,
336,070,248,581,331,322,824,867,846,392,734,159,322,366,657,252,604,915,452,
690,892,502,414,441,774,012,481,828,866,421,001,679,493,084,332,051,796,987,
803,741,790,441,474,378,108,865,491,817,263,726,970,308,308,188,969,821,437,
776,767,716,154,343,136,965,736,219,979,712,917,722,773,904,687,541,601,713,
736,725,945,476,391,819,716,238,360,470,156,275,887,166,268,422,821,779,185,
198,881,692,970,352,649,156,189,345,000,321,771,048,404,652,359,229,028,987,
077,061,881,272,256,558,703,284,422,286,243,892,251,534,736,441,956,887,753,
547,609,046,174,134,605,254,605,159,869,234,188,274,455,495,641,133,106,441,
675,144,834,583,103,372,912,471,566,462,264,625,336,591,387,825,504,458,386,
499,224,319,308,940,589,994,877,021,057,574,953,850,960,755,789,659,939,759,
100,824,988,629,803,751,812,714,748,879,803,701,626,622,953,623,143,511,523,
312,701,222,962,259,747,090,646,698,376,160,946,388,979,793,990,641,487,456,
182,142,770,482,833,234,058,702,409,153,355,359,969,285,208,253,709,443,272,
859,157,997,820,073,935,109,545,957,530,173,569,021,592,367,569,878,764,430,
119,370,995,156,671,127,545,976,107,915,587,944,500,951,904,116,034,574,627,
333,776,327,304,169,122,170,512,751,208,011,532,940,793,417,229,278,999,742,
185,679,768,020,157,987,521,917,370,454,306,578,430,302,750,704,659,555,927,
713,078,633,468,032,091,834,873,633,375,432,399,196,944,918,292,567,236,868,
422,310,112,087,158,689,477,642,934,884,603,336,811,946,942,840,659,958,063,
501,610,455,175,697,710,871,391,197,466,144,993,990,215,575,810,098,652,434,
536,954,586,242,337,221,362,399,895,239,351,178,573,571,244,460,991,090,699,
904,017,664,175,769,070,596,021,809,667,442,338,555,720,001,539,607,410,733,
184,668,920,070,750,121,018,866,637,902,934,023,552,312,175,625,808,641,977,
243,614,660,621,514,547,411,711,238,217,955,195,564,844,207,426,543,723,217,
512,225,372,604,789,421,659,482,319,378,685,583,444,897,843,459,709,799,101,
780,245,584,509,189,804,992,304,837,272,409,950,892,960,453,569,633,921,501,
190,909,428,390,437,000,448,425,649,184,611,856,979,177,070,361,015,854,646,
320,489,493,860,793,035,150,486,824,921,704,892,264,113,938,601,363,798,954,
645,793,462,878,853,986,780,652,771,783,308,017,079,156,220,321,403,102,174,
699,849,018,512,235,305,674,467,575,445,181,598,965,162,907,622,353,025,970,
739,385,368,963,333,694,931,299,515,604,523,173,555,643,445,069,037,095,974,
206,851,016,677,002,025,210,479,301,086,276,846,655,328,697,761,164,733,874,
623,823,470,525,681,733,703,886,392,340,392,985,342,155,284,721,790,023,023,
580,743,175,674,062,882,101,672,912,370,362,969,443,279,101,160,708,596,179,
034,372,205,065,668,636,467,865,113,722,183,802,331,218,795,002,481,053,705,
096,616,974,753,153,940,280,525,611,539,537,982,653,208,079,280,914,172,773,
255,460,969,949,561,135,217,671,416,212,405,619,349,051,528,373,528,522,300,
777,943,687,432,850,478,353,476,432,135,873,425,989,796,060,845,824,584,270,
571,916,670,833,295,599,256,134,443,598,561,527,447,198,775,176,224,771,197,
790,250,375,524,501,785,354,749,380,602,247,228,915,205,473,099,917,667,939,
922,890,944,336,708,653,359,983,409,630,925,473,165,255,630,575,457,627,467,
500,330,686,472,111,453,007,297,308,164,033,077,392,094,208,684,968,873,283,
465,799,289,389,990,718,011,378,541,070,799,519,400,858,361,675,315,356,535,
983,337,973,095,308,938,280,974,226,456,069,558,217,729,302,071,027,574,347,
819,302,959,764,094,533,016,752,005,554,543,017,348,945,964,153,563,711,327,
694,093,024,937,968,376,947,847,739,335,632,785,219,457,344,876,318,666,271,
940,495,878,857,202,560,524,994,770,758,668,609,683,286,302,337,225,475,874,
557,394,644,250,792,096,076,285,918,517,255,352,053,148,360,192,233,531,454,
190,160,518,916,955,566,043,410,991,283,392,638,771,278,396,787,484,778,988,
239,363,733,837,405,299,213,101,591,973,486,460,309,477,703,562,738,475,313,
414,885,453,315,673,610,521,075,794,690,435,247,590,565,300,244,744,156,843,
153,793,944,525,576,146,056,413,118,950,202,513,901,227,974,605,363,396,736,
255,006,217,883,318,930,639,895,079,594,758,453,499,035,233,963,433,390,708,
962,566,492,125,771,927,239,503,829,497,971,515,711,802,743,240,474,090,346,
279,919,266,965,421,764,767,915,206,142,782,999,531,967,133,377,165,195,243,
832,722,847,845,799,413,943,057,459,787,903,392,781,220,108,918,561,041,968,
715,252,030,953,131,297,305,599,880,816,233,010,704,698,847,272,630,137,756,
325,733,698,149,340,062,842,720,863,529,270,026,669,709,565,593,347,451,374,
866,865,976,716,082,180,304,437,168,216,111,424,407,292,800,633,194,317,503,
322,797,322,452,433,588,637,332,174,785,069,244,625,983,689,707,582,417,647,
181,372,334,292,921,213,203,479,222,538,215,409,699,620,570,107,901,915,080,
731,759,287,384,792,772,075,446,035,368,135,252,842,010,628,813,508,086,728,
534,115,855,346,238,067,703,397,917,682,663,575,228,366,660,983,153,848,731,
101,939,135,049,152,689,375,017,624,260,931,995,600,541,389,279,086,781,961,
772,277,168,379,955,063,706,767,902,582,663,162,417,505,571,909,694,677,189,
553,934,977,953,668,222,053,349,724,396,739,758,045,921,516,737,019,089,149,
439,045,628,468,688,886,447,300,375,461,563,490,393,540,473,214,778,031,012,
323,685,596,526,257,288,240,361,141,698,451,672,082,455,581,649,091,877,118,
397,949,840,044,518,796,608,117,560,068,991,016,699,009,827,810,555,502,390,
449,967,898,820,200,766,735,241,006,841,986,649,348,561,432,369,908,051,455,
124,721,248,071,654,562,733,574,397,797,729,078,266,403,771,006,281,660,701,
695,835,300,503,799,652,312,531,640,023,910,588,101,969,073,075,740,177,619,
169,459,999,270,587,293,537,967,246,507,690,535,530,492,223,442,484,171,731,
396,013,357,328,933,170,585,069,366,887,174,448,162,066,099,437,210,960,058,
989,106,716,258,568,429,220,474,803,232,163,159,672,071,056,201,128,137,976,
897,004,526,019,009,915,543,571,896,736,143,387,305,989,066,757,749,437,492,
256,497,021,176,913,672,608,607,358,514,728,271,301,776,240,706,480,035,897,
791,249,158,672,962,100,183,278,231,714,497,078,996,770,505,168,616,380,665,
053,888,898,280,974,641,646,940,761,808,466,802,875,682,250,358,288,052,542,
253,481,829,428,587,930,413,263,362,773,061,869,935,913,299,665,121,996,931,
819,325,222,659,523,043,293,888,828,558,283,444,006,875,741,758,054,330,149,
761,872,598,817,029,624,041,417,014,739,793,237,694,889,503,942,493,423,042,
202,801,860,508,150,405,004,149,277,116,823,824,516,879,685,566,546,507,632,
431,444,191,964,993,391,331,299,883,998,907,759,391,644,290,925,169,104,799,
469,930,249,646,968,428,791,469,031,935,140,399,683,043,327,768,795,231,788,
724,655,197,366,277,162,288,940,903,432,250,577,477,915,176,304,382,519,834,
781,834,664,578,168,066,128,714,586,273,970,982,663,406,226,609,757,992,674,
914,669,179,907,554,430,886,515,161,659,573,214,419,127,911,478,742,212,518,
880,936,013,303,706,157,376,865,444,424,876,975,388,015,119,163,191,856,486,
347,093,176,720,462,073,361,195,231,277,236,061,839,156,394,113,034,061,112,
116,278,425,112,766,688,324,157,237,292,357,847,312,073,596,245,580,408,022,
426,230,550,097,990,100,532,751,085,541,538,942,930,676,424,621,073,046,779,
427,628,143,628,100,449,462,155,960,925,502,126,235,994,349,264,269,714,163,
736,355,548,215,683,667,675,561,255,040,270,897,840,485,264,365,364,621,380,
734,893,826,728,820,337,638,538,734,818,324,734,188,618,911,801,439,587,851,
333,359,981,085,789,181,969,165,158,958,117,840,294,162,587,450,489,484,481,
406,154,164,700,849,512,840,330,513,439,038,312,654,209,491,697,412,081,470,
904,300,720,136,936,524,550,049,588,939,746,227,698,684,518,935,362,715,332,
218,327,798,764,716,690,843,232,693,619,007,915,672,674,600,688,981,285,552,
369,649,764,829,811,142,790,434,944,973,908,559,828,165,005,807,168,756,424,
657,469,065,023,011,118,039,718,103,247,723,576,734,271,956,888,729,540,761,
578,239,752,503,783,263,181,916,467,765,403,430,053,495,419,852,920,192,502,
315,408,068,981,284,680,170,965,914,994,062,649,337,441,149,712,899,461,254,
116,697,497,599,596,339,170,147,030,590,416,783,843,938,606,546,026,837,309,
440,166,308,016,604,051,830,027,672,965,008,088,800,154,739,017,720,238,568,
596,643,707,759,525,285,716,904,785,548,257,903,571,863,975,410,763,951,004,
186,569,480,807,514,419,115,666,349,198,730,585,815,393,831,912,921,202,200,
025,603,490,941,308,311,531,940,898,560,952,354,697,570,693,102,475,677,958,
684,896,873,007,993,676,903,717,751,407,666,772,793,852,732,612,539,301,560,
664,618,450,745,788,060,038,973,930,339,939,765,037,432,962,660,387,465,082,
924,216,239,875,322,391,102,361,968,733,392,426,221,047,544,335,224,617,259,
300,122,422,482,815,383,634,910,829,073,014,704,467,649,229,313,802,623,068,
956,555,585,378,240,171,702,038,051,363,479,077,161,540,916,469,736,904,092,
679,810,703,474,651,670,397,570,977,964,859,692,083,252,325,860,620,011,205,
727,023,517,238,399,421,079,903,912,132,921,616,679,216,236,582,092,058,768,
934,174,588,962,197,830,305,458,478,728,876,573,152,688,000,921,464,691,301,
921,173,446,189,614,221,136,955,626,638,701,917,713,272,207,888,777,221,671,
282,150,520,290,854,544,968,215,654,010,309,437,655,469,032,976,391,812,219,
620,945,336,800,402,193,466,436,237,291,423,942,602,474,938,979,669,579,588,
869,750,704,706,741,541,661,367,580,352,524,109,950,347,645,804,255,229,184,
603,461,120,769,810,776,595,673,764,405,477,315,337,448,615,075,885,540,602,
287,517,176,006,271,298,460,255,657,098,005,295,213,161,060,680,458,589,331,
168,225,164,520,618,061,522,934,609,201,044,338,139,395,885,430,019,331,273,
458,319,975,200,848,630,915,098,653,811,912,378,922,889,342,206,955,636,044,
381,236,278,623,437,917,740,708,629,943,332,225,033,081,884,035,408,626,927,
185,851,204,719,611,620,518,568,582,235,408,295,996,389,009,435,360,406,302,
360,104,269,556,603,376,088,037,669,469,529,920,181,662,004,367,487,225,490,
490,008,896,648,492,690,473,675,589,733,880,713,608,178,910,061,570,767,804,
568,585,416,981,691,447,680,065,658,366,071,355,882,998,452,859,994,654,200,
566,349,050,132,532,109,354,520,443,929,450,843,876,763,757,741,913,997,365,
359,033,640,622,301,322,689,770,768,297,118,335,977,434,466,432,086,505,042,
240,910,556,362,743,446,113,526,973,880,350,093,782,062,579,005,036,672,756,
726,886,500,534,324,366,715,249,690,297,461,582,542,214,917,412,349,128,127,
777,483,393,310,330,751,088,637,955,968,671,826,853,377,733,348,249,681,859,
313,514,843,272,752,212,475,156,859,301,619,984,700,054,264,368,649,489,996,
905,679,656,906,458,060,488,827,038,963,338,042,162,368,291,568,641,858,619,
195,042,834,623,207,527,305,963,049,599,536,795,176,583,198,985,455,771,027,
375,369,931,008,091,528,446,711,524,613,682,411,237,322,971,544,142,580,181,
341,468,200,787,996,585,304,158,595,849,542,511,635,966,922,122,784,703,875,
735,343,402,095,670,947,153,003,217,927,497,846,724,933,751,070,226,368,268,
371,191,534,811,141,233,348,573,530,511,487,153,395,514,086,982,671,815,786,
666,490,180,364,455,975,285,719,592,602,703,191,892,394,202,260,515,178,684,
797,782,680,811,491,086,863,307,060,044,276,045,428,899,663,527,809,584,471,
868,526,326,512,939,703,593,148,507,146,324,381,818,330,982,513,376,108,060,
647,270,701,946,188,383,021,611,638,907,290,224,653,542,390,328,456,523,412,
693,533,561,848,901,254,396,959,209,375,332,704,406,071,166,089,138,000,285,
386,924,399,590,450,125,983,622,189,090,179,721,640,599,966,699,686,261,186,
086,823,828,619,002,992,941,498,172,286,905,400,833,417,181,257,091,770,110,
862,538,067,043,525,082,195,942,553,628,136,842,155,001,944,875,582,379,092,
043,661,912,532,427,992,103,050,608,852,970,354,933,726,142,507,587,683,608,
751,974,915,667,359,334,301,248,921,329,658,485,706,363,551,425,751,918,851,
976,326,716,643,560,088,800,438,879,586,296,477,363,649,224,082,872,355,114,
277,338,861,969,584,841,882,874,113,369,988,563,256,942,437,239,905,379,122,
030,037,989,260,345,896,709,985,354,784,378,372,458,428,493,686,567,656,661,
494,016,184,445,948,625,002,343,910,237,653,449,755,354,940,078,420,655,564,
914,638,150,168,094,986,304,287,749,449,542,157,278,492,213,573,220,717,023,
689,877,450,312,321,279,278,286,280,816,474,853,504,816,024,576,624,914,612,
228,100,162,748,603,155,059,224,919,845,445,391,455,824,729,582,238,950,434,
427,188,132,164,498,974,606,400,593,633,709,483,254,262,614,351,839,232,244,
019,143,128,924,231,473,004,511,490,840,581,655,540,867,594,796,204,489,626,
182,925,273,317,703,286,572,244,561,796,215,603,421,831,073,709,694,233,076,
448,229,083,614,945,822,346,812,995,106,336,801,470,875,614,625,604,621,171,
721,468,639,317,831,246,909,993,745,387,835,342,402,653,277,260,649,332,566,
678,738,964,762,046,479,611,892,840,416,231,059,188,121,024,427,461,904,613,
653,507,945,489,490,198,998,222,403,615,659,347,985,670,583,033,797,045,476,
438,513,984,688,958,592,594,529,774,546,657,690,010,659,167,709,492,049,896,
018,085,293,120,758,406,479,414,173,190,226,264,964,943,568,318,876,210,311,
480,787,483,308,411,326,152,678,709,192,638,404,320,369,787,052,691,391,069,
134,078,591,434,595,636,188,362,594,711,692,496,083,858,994,689,033,151,417,
417,863,910,504,117,167,310,465,357,014,062,409,541,468,400,010,464,092,055,
579,686,874,805,904,993,958,076,936,569,418,988,537,837,042,110,375,420,331,
213,290,144,154,857,843,700,458,904,514,166,249,684,364,213,709,527,401,542,
984,884,079,855,363,421,043,221,510,876,147,505,038,733,704,360,266,189,054,
268,123,768,595,843,612,537,830,071,110,032,395,802,742,177,503,318,022,758,
014,503,707,548,083,708,852,195,459,851,787,616,793,578,152,364,125,668,377,
664,210,532,887,654,603,130,917,178,929,055,772,161,000,211,742,971,052,988,
425,007,081,359,053,253,208,787,815,874,157,864,061,892,941,240,007,244,423,
691,642,483,257,677,878,263,823,664,604,602,926,496,555,248,984,256,561,176,
168,312,274,985,056,485,966,699,522,645,262,200,784,138,280,721,161,518,361,
968,910,029,447,184,933,818,208,903,779,745,397,048,720,640,500,407,533,338,
296,862,892,781,347,157,367,002,285,086,402,673,668,523,957,726,076,621,013,
973,422,409,903,793,553,138,498,614,434,021,099,588,944,059,451,837,060,586,
696,512,455,249,833,304,006,425,414,143,205,839,670,859,640,835,274,801,424,
722,325,921,624,442,126,921,641,617,716,410,394,866,821,737,674,362,789,689,
736,550,079,009,124,386,710,799,355,468,423,459,292,032,081,342,235,961,037,
267,500,562,197,147,523,299,177,952,136,475,323,778,104,870,998,106,948,681,
883,952,749,896,570,059,216,825,480,610,703,004,640,902,323,351,237,828,633,
729,361,182,917,142,251,191,913,043,978,301,062,488,432,363,237,288,378,497,
767,161,056,980,962,736,721,377,011,498,520,954,674,585,688,519,959,060,671,
383,151,415,547,559,635,893,418,469,463,559,111,357,612,628,212,044,011,910,
293,542,326,235,186,639,551,590,025,842,596,316,468,977,311,724,847,858,895,
218,267,999,327,130,128,649,702,111,040,728,309,532,945,012,873,463,870,278,
691,900,355,162,096,074,230,516,594,258,267,383,616,525,070,278,435,199,445,
029,596,937,491,362,644,101,823,697,915,598,605,901,709,461,219,771,963,958,
765,518,915,291,803,265,813,786,892,969,365,964,813,301,090,927,130,533,868,
557,126,511,306,509,934,053,141,739,991,842,876,755,298,691,163,190,399,467,
350,984,487,896,713,920,884,847,866,845,752,251,068,978,611,260,485,686,237,
140,793,247,711,257,797,419,990,298,756,673,131,775,291,681,709,735,434,350,
037,517,019,876,924,558,198,182,549,848,250,171,940,536,714,845,252,622,372,
723,528,082,986,038,593,090,832,991,818,665,220,644,395,195,109,710,142,095,
961,867,537,113,564,662,827,861,987,227,095,891,069,570,542,909,756,201,557,
094,336,585,189,465,573,900,894,821,491,833,191,348,191,392,928,260,095,815,
890,494,430,376,243,986,846,425,291,438,152,814,010,644,439,171,921,715,801,
825,093,520,652,480,102,436,762,265,375,354,403,154,030,146,625,834,169,487,
882,601,595,124,788,166,166,957,765,567,004,332,810,168,399,362,845,264,610,
712,502,518,987,003,116,505,836,656,934,772,789,630,574,685,422,096,509,469,
250,565,481,015,774,737,230,712,991,290,947,980,018,088,497,559,808,138,294,
203,217,864,096,419,770,167,522,011,044,677,503,144,931,849,530,314,481,128,
463,427,783,676,918,585,653,556,235,941,445,664,312,674,325,720,095,750,017,
884,880,561,688,800,351,065,529,338,817,205,591,752,441,940,846,874,453,722,
463,763,587,956,402,068,917,269,835,234,291,649,462,286,707,003,212,101,559,
544,151,539,929,287,669,689,594,584,242,135,796,545,442,710,937,826,278,191,
516,588,522,550,609,028,933,391,754,992,283,338,456,742,171,599,698,461,180,
679,843,969,567,718,289,584,928,306,822,136,037,519,195,716,008,240,123,776,
008,014,960,872,076,636,555,483,196,871,988,398,133,640,691,368,801,151,773,
820,335,062,718,574,439,113,094,349,326,050,387,293,793,800,505,949,195,968,
476,372,273,911,565,126,519,136,864,813,283,638,191,858,562,160,453,820,326,
821,715,551,797,327,725,361,937,045,120,449,692,266,900,327,462,328,642,833,
878,050,644,310,688,361,078,025,380,434,313,975,700,875,244,742,632,285,913,
080,130,076,466,539,127,019,381,706,111,789,140,870,937,717,252,642,412,164,
460,079,015,031,181,896,940,716,452,604,007,642,406,799,313,212,265,475,239,
568,477,313,724,982,413,867,395,393,440,821,847,224,018,467,788,150,177,827,
523,985,971,732,240,092,742,293,582,838,840,676,340,594,917,165,466,568,935,
595,639,355,035,300,853,436,014,903,178,230,282,884,483,955,570,187,758,301,
790,067,267,031,677,255,298,495,442,799,246,452,409,557,468,819,167,283,700,
915,037,455,172,867,775,143,396,687,809,574,527,487,306,315,766,949,529,304,
965,553,910,229,163,709,653,475,119,749,418,244,245,396,392,934,950,664,912,
950,081,356,961,482,172,138,792,396,914,164,497,115,401,104,534,052,847,868,
730,827,986,429,117,649,388,000,423,217,230,523,234,705,366,551,648,158,056,
682,044,938,396,922,957,442,852,218,886,526,459,072,972,500,384,253,796,993,
954,919,153,499,916,814,209,516,985,338,263,390,724,540,718,966,754,410,376,
192,472,062,457,882,596,722,446,047,216,261,174,749,458,986,749,968,329,109,
228,730,881,320,400,240,056,058,841,471,908,890,747,864,476,315,503,504,420,
780,991,427,253,604,390,971,746,928,902,042,173,442,875,668,863,585,679,803,
542,431,786,521,032,192,122,966,325,859,955,850,800,971,392,713,903,094,591,
933,015,695,867,069,182,155,721,158,567,884,713,193,947,967,769,988,566,726,
496,605,108,371,870,897,900,428,056,285,578,926,812,298,534,692,524,235,668,
418,861,034,906,027,290,607,010,963,208,896,695,680,613,456,976,521,035,620,
814,307,310,157,814,024,232,340,788,486,730,782,843,764,037,016,467,630,823,
009,083,204,924,676,712,501,924,616,485,330,891,936,216,119,825,653,394,217,
412,168,481,769,141,191,124,232,429,125,033,060,901,187,466,107,506,192,807,
500,725,748,248,764,592,099,654,714,650,291,603,364,646,572,127,332,233,474,
558,096,948,996,220,427,713,708,492,479,956,276,923,048,570,286,964,420,726,
803,543,206,488,819,590,481,927,659,745,273,308,510,991,724,784,872,351,114,
265,359,002,487,240,922,862,338,993,302,657,902,237,222,335,037,490,624,785,
396,525,572,719,836,099,427,942,388,241,336,445,679,491,997,573,005,048,287,
003,673,616,574,543,177,038,270,001,482,352,143,452,352,147,770,523,419,230,
297,103,801,139,559,859,258,028,978,233,920,484,995,079,672,038,076,588,252,
177,397,916,726,474,584,219,133,396,557,536,848,403,072,969,468,184,062,037,
111,485,541,391,178,519,189,271,323,113,704,225,791,693,283,615,666,868,163,
288,061,318,138,139,402,495,561,570,467,150,284,537,043,466,530,252,317,882,
766,459,851,616,332,943,502,763,186,282,324,312,984,363,998,047,175,932,936,
065,288,326,354,782,007,763,679,600,127,533,427,116,631,415,202,345,677,416,
653,375,099,648,648,706,257,116,941,889,691,436,764,879,432,130,282,947,262,
859,895,589,677,552,289,678,830,740,229,574,847,703,162,561,501,560,509,515,
754,870,165,110,759,157,893,409,634,296,441,234,379,358,545,303,319,807,308,
729,762,450,469,839,953,519,427,851,224,680,517,576,553,491,767,027,316,125,
431,195,582,478,891,379,202,492,107,352,322,504,383,266,151,059,196,181,134,
253,407,891,179,603,453,855,624,991,290,618,806,293,828,399,320,156,046,009,
120,552,222,340,337,127,869,964,558,751,434,522,480,970,725,867,805,416,516,
100,853,722,454,864,630,024,071,963,225,701,410,515,129,333,452,302,226,642,
903,977,362,091,257,717,264,446,649,406,180,631,121,458,376,669,476,590,883,
736,292,606,700,152,871,282,282,881,773,512,754,072,509,230,210,323,358,800,
381,761,072,193,345,240,345,362,041,770,484,116,494,329,242,626,402,777,911,
763,714,752,432,645,660,984,645,535,167,896,288,248,479,930,512,452,359,765,
032,339,009,676,738,896,361,352,585,275,966,969,922,688,778,914,123,616,875,
501,607,935,084,981,963,848,297,378,299,375,654,920,229,151,384,318,307,961,
287,443,764,589,131,919,950,164,661,580,398,136,180,360,410,727,863,308,136,
049,925,107,711,409,180,077,486,118,070,311,632,229,557,287,468,058,883,590,
546,708,548,308,454,512,516,953,593,535,649,628,174,988,961,055,566,600,439,
982,753,459,089,406,222,064,865,240,669,839,139,569,245,832,797,764,702,860,
834,637,795,009,112,110,966,800,291,004,773,760,496,653,154,844,335,869,025,
811,008,840,473,554,994,747,496,215,148,032,144,167,804,086,609,622,803,436,
160,797,352,942,289,323,114,472,685,274,367,355,775,198,181,699,633,048,220,
780,000,294,052,353,309,632,962,965,878,168,981,237,295,554,316,858,748,123,
934,078,548,140,589,406,908,659,226,456,889,511,118,376,087,811,819,606,878,
128,081,245,168,108,567,611,191,411,069,201,570,089,544,960,536,882,008,672,
446,216,673,634,494,241,005,719,611,809,411,225,871,339,143,856,659,920,821,
053,291,574,371,700,081,078,986,705,930,597,531,370,009,861,969,498,236,453,
689,698,130,730,317,557,585,439,394,084,519,082,338,244,942,090,825,669,464,
808,243,758,013,493,253,590,015,297,858,876,476,907,247,083,187,133,257,807,
995,611,779,013,934,384,211,615,796,334,919,943,161,083,478,597,131,997,615,
592,614,668,729,585,541,418,491,780,829,322,794,069,464,904,935,579,389,432,
581,278,118,756,667,406,490,936,121,880,564,428,655,224,185,549,160,011,168,
774,401,005,693,612,697,626,341,826,441,679,319,663,908,616,067,147,710,743,
688,560,938,595,085,237,351,727,302,227,470,244,008,729,180,643,294,266,298,
653,403,058,838,541,418,130,334,871,479,687,872,355,494,907,696,803,021,082,
265,501,407,836,785,937,733,095,334,424,276,752,975,621,356,245,226,975,047,
293,887,913,346,088,732,862,128,066,400,347,741,335,028,371,918,138,195,945,
120,041,135,672,642,612,813,135,892,789,809,805,434,473,538,764,513,111,692,
165,398,900,844,755,736,967,692,086,928,355,799,188,744,558,503,167,160,669,
587,640,294,798,165,517,653,698,216,249,660,737,377,465,501,619,973,100,744,
175,329,182,853,712,101,720,586,272,531,992,929,076,496,585,649,539,843,884,
961,625,480,075,645,529,788,504,080,683,500,543,956,769,224,462,708,313,728,
637,434,017,124,033,377,224,220,317,399,447,533,160,371,961,355,399,304,770,
692,869,727,729,950,166,354,427,267,666,110,386,191,971,190,131,619,045,235,
686,053,174,342,186,678,217,606,140,817,848,859,675,556,926,502,528,477,054,
780,371,049,253,725,788,707,899,620,327,029,611,099,279,631,607,710,834,720,
321,933,049,048,785,489,880,865,086,936,115,391,785,588,039,829,130,765,027,
977,686,290,399,611,514,473,397,974,903,806,823,149,581,795,351,237,862,899,
708,303,111,365,201,536,473,213,526,469,530,868,680,497,014,703,381,870,994,
761,639,489,951,047,978,631,466,267,007,345,588,060,441,451,487,900,965,416,
698,112,696,455,096,681,632,845,031,227,615,653,698,528,334,125,611,202,871,
494,126,481,672,055,024,234,900,328,618,977,870,423,432,916,204,618,492,800,
513,853,431,897,923,204,674,295,473,388,890,060,145,365,072,039,163,329,923,
592,976,240,946,226,148,257,674,879,142,253,771,914,914,686,182,624,754,493,
476,486,751,916,531,197,137,332,371,098,625,451,751,540,875,820,433,346,925,
969,792,854,892,346,128,606,155,240,049,178,047,161,510,775,162,846,012,871,
919,661,235,426,036,456,330,440,414,365,360,551,836,011,757,017,291,885,372,
581,629,113,349,308,649,205,702,869,252,638,633,346,117,753,381,555,039,864,
257,243,639,828,816,004,927,830,191,286,378,591,180,552,432,453,437,629,109,
380,677,474,967,642,446,035,786,482,524,235,095,732,227,472,257,517,151,793,
345,762,725,736,427,222,020,000,237,481,511,959,085,787,658,048,642,259,903,
591,830,046,229,201,915,470,304,790,859,084,615,884,380,794,520,240,656,486,
132,311,047,893,161,271,994,349,912,717,561,535,958,785,245,340,573,438,422,
660,658,977,760,764,693,548,282,096,451,808,951,335,715,727,613,612,231,398,
402,758,471,505,099,715,349,273,878,996,913,518,276,989,160,720,499,376,577,
917,262,573,411,822,511,479,086,121,080,581,341,616,912,455,886,466,078,658,
011,789,081,329,760,613,347,290,480,366,528,483,628,320,672,867,454,570,772,
194,041,765,403,776,911,356,671,609,914,097,084,982,382,755,689,667,915,393,
749,173,769,843,247,289,470,175,936,742,400,700,022,817,020,191,803,932,488,
358,745,236,694,111,236,174,126,410,006,671,700,316,216,773,953,295,976,957,
469,931,236,977,018,054,824,390,330,818,923,638,079,589,279,797,485,387,816,
278,862,061,467,743,553,918,645,729,950,885,103,457,734,820,520,276,135,663,
416,251,176,628,801,204,351,167,343,660,261,176,665,727,140,785,323,898,256,
908,195,940,786,856,217,825,581,849,559,843,171,832,595,509,237,906,755,588,
203,697,115,295,502,632,747,321,674,153,044,755,151,787,857,616,323,915,800,
331,680,364,342,326,082,211,588,723,950,427,261,325,296,205,113,237,353,435,
698,434,965,139,302,346,570,161,792,647,882,404,522,231,624,658,152,443,608,
857,706,560,842,902,100,934,261,849,130,192,757,702,629,037,962,856,067,031,
482,217,530,059,924,641,617,695,409,085,076,053,389,514,190,255,073,894,770,
061,256,744,823,376,707,735,093,985,029,732,492,147,428,009,890,151,358,284,
204,810,521,417,954,080,561,260,184,227,638,128,227,039,977,170,532,964,802,
007,588,864,174,657,035,867,370,183,399,733,264,484,480,899,359,966,597,099,
727,667,684,569,411,017,767,060,651,445,877,774,229,545,198,227,375,107,838,
001,998,128,509,718,473,579,869,095,200,346,983,025,278,021,541,706,778,164,
315,092,519,394,356,503,603,512,670,706,498,436,886,165,224,617,900,368,676,
675,940,228,638,603,986,336,998,652,300,533,810,703,974,961,332,487,724,081,
434,523,842,326,438,010,594,903,934,193,154,937,576,728,515,168,204,893,993,
621,727,429,074,137,755,781,302,472,360,776,377,980,412,340,450,945,652,299,
925,243,533,286,809,082,217,293,824,708,402,803,712,179,695,709,498,057,733,
675,181,414,695,974,393,409,835,025,753,265,030,020,690,140,834,404,283,746,
389,415,741,762,260,105,199,402,413,729,199,623,518,518,733,109,059,282,563,
379,226,485,024,949,175,367,770,611,386,393,747,148,347,753,293,326,634,209,
470,915,144,911,529,892,344,461,019,225,175,527,514,497,901,045,141,263,496,
153,673,107,517,657,703,395,651,010,048,354,485,377,425,763,771,399,077,702,
022,947,085,201,660,621,665,759,319,655,962,015,875,580,454,620,373,405,041,
428,402,011,208,346,206,738,712,245,894,024,927,621,961,355,288,466,508,384,
804,725,389,860,409,178,379,741,523,240,905,318,555,047,278,426,158,603,047,
730,736,990,143,178,081,644,726,660,850,378,463,173,724,488,545,707,989,473,
065,125,763,539,938,190,177,171,640,229,041,885,397,156,891,283,148,302,845,
031,857,657,866,051,947,277,915,769,193,750,044,512,772,100,763,344,246,824,
215,852,274,411,273,738,560,841,658,811,928,474,976,137,527,508,384,511,638,
241,069,530,688,067,788,281,254,978,288,935,344,298,631,404,917,544,738,469,
233,978,615,511,999,967,148,281,528,389,901,913,851,976,261,401,280,612,247,
718,357,808,330,232,696,003,310,084,795,793,412,159,155,317,543,251,242,003,
701,950,528,270,226,914,782,254,419,033,796,640,127,328,932,535,096,294,957,
147,873,116,784,752,669,643,957,128,752,951,683,200,154,679,626,880,036,008,
373,380,060,108,324,236,227,109,859,049,311,358,144,993,298,109,656,675,974,
812,025,009,702,559,140,013,365,767,070,051,340,065,800,789,351,890,564,286,
308,511,945,883,513,920,367,172,577,661,681,861,619,124,812,923,857,401,116,
943,893,152,613,143,089,124,746,903,570,537,163,334,524,424,898,888,383,659,
228,724,583,028,652,764,382,757,374,310,541,206,636,249,113,095,218,810,959,
246,712,360,116,681,319,856,135,094,519,475,931,959,720,116,579,931,393,179,
884,569,357,168,554,721,501,545,177,460,951,324,712,655,843,945,323,074,542,
126,191,401,563,194,703,957,531,910,311,797,559,557,152,226,785,699,157,202,
668,683,725,014,627,862,075,121,963,133,151,488,153,460,605,669,453,201,371,
303,846,110,510,017,954,817,290,176,219,233,438,607,351,048,607,204,268,109,
819,885,421,882,244,859,127,962,189,084,498,678,474,033,181,838,378,206,701,
838,311,397,799,415,441,121,517,012,397,306,557,291,506,876,071,015,229,737,
701,958,544,174,980,245,189,102,142,440,546,396,393,144,953,015,960,849,054,
983,645,233,286,277,408,974,663,487,251,792,487,794,816,186,426,329,485,561,
659,301,414,962,402,539,841,142,520,998,136,652,806,847,701,540,872,420,092,
711,245,633,241,563,135,654,541,083,537,658,693,989,940,349,720,016,842,073,
538,560,355,080,949,650,456,964,536,830,412,624,623,686,108,710,332,113,891,
019,101,016,056,597,342,417,988,635,123,193,546,633,609,500,922,232,006,204,
340,013,402,601,456,734,319,660,288,382,632,111,539,262,622,892,802,076,238,
697,275,199,778,887,193,341,385,429,999,619,103,639,078,799,797,952,637,538,
742,098,999,822,978,721,967,677,548,418,903,082,402,321,158,208,591,888,812,
022,305,657,840,537,780,211,673,090,156,186,339,996,474,147,296,050,381,990,
760,238,349,843,530,070,129,013,170,583,130,044,095,630,478,611,907,216,456,
436,053,964,515,815,707,886,730,239,845,096,536,709,284,795,399,694,000,609,
497,476,792,058,123,494,580,342,418,346,390,368,910,839,803,776,914,959,628,
588,331,953,971,389,187,724,478,558,253,887,530,841,103,318,030,638,298,410,
010,974,206,258,437,946,120,001,718,336,040,354,782,545,339,916,186,100,716,
931,765,422,177,861,157,445,921,631,554,185,120,221,613,060,879,882,891,496,
162,577,767,222,581,988,146,021,617,717,011,775,392,081,347,633,965,653,483,
196,781,124,698,950,176,973,585,509,849,947,440,879,212,153,475,222,673,838,
270,634,532,972,352,890,766,804,727,265,320,889,072,618,933,933,594,767,630,
303,899,741,654,164,366,000,450,175,819,995,380,473,259,702,876,670,793,739,
856,374,075,118,225,690,547,598,296,542,393,622,079,806,456,000,444,314,290,
724,372,442,229,573,245,400,137,904,127,830,416,491,390,071,291,208,894,356,
520,054,572,410,290,563,801,334,122,370,210,255,971,185,971,627,374,498,586,
811,449,107,570,835,658,513,535,643,116,351,677,980,952,458,296,105,481,349,
238,374,152,582,797,140,593,755,923,181,806,700,304,220,770,868,290,138,857,
414,082,223,478,109,809,395,897,628,310,627,344,997,468,557,787,780,998,224,
551,102,672,001,450,411,029,363,316,406,042,409,083,947,886,470,734,351,021,
469,422,081,004,373,581,241,835,783,540,042,368,978,291,922,330,762,621,546,
269,614,089,600,066,954,535,684,572,387,657,944,462,653,723,443,873,959,059,
095,570,331,830,311,018,920,584,674,870,669,151,996,338,191,157,210,750,619,
652,221,146,877,883,772,582,593,487,521,925,613,662,227,028,333,362,870,916,
654,836,805,421,974,975,033,262,435,482,221,152,658,218,923,187,301,064,372,
226,557,575,952,613,144,971,690,254,702,914,109,012,804,361,989,865,325,162,
957,481,907,200,497,199,584,720,149,367,321,477,926,652,976,386,687,898,833,
375,220,941,757,627,039,949,323,303,690,391,972,564,082,859,052,697,158,941,
717,743,152,389,059,375,123,972,118,203,422,734,780,604,856,792,422,671,265,
989,410,546,975,347,302,671,944,492,350,474,728,707,021,809,791,571,197,437,
983,872,773,988,849,508,703,911,924,359,204,554,832,007,089,006,872,473,379,
389,436,108,522,935,576,804,933,574,008,450,717,556,424,999,352,243,162,231,
492,224,252,906,525,213,316,369,495,528,133,661,969,251,834,708,291,237,032,
578,378,095,713,096,043,348,366,742,824,574,821,062,596,737,581,598,684,898,
206,283,918,164,521,465,864,777,002,238,667,529,521,430,250,859,851,151,224,
003,927,892,555,997,156,625,371,456,711,839,680,254,565,223,678,318,343,647,
418,056,817,606,503,873,424,770,201,338,323,930,478,986,597,787,411,880,632,
869,298,234,727,929,928,846,965,336,658,891,204,245,765,585,065,525,768,814,
549,507,825,027,570,840,177,085,509,279,252,807,594,013,384,677,731,155,923,
870,093,625,765,845,654,568,045,274,902,434,471,903,681,601,364,381,836,795,
280,125,289,465,018,419,973,743,910,775,424,124,979,915,838,520,073,638,632,
896,521,320,852,442,578,976,502,165,855,649,760,925,889,749,285,470,900,202,
866,674,181,185,404,772,117,293,618,333,521,195,952,113,634,312,511,992,671,
900,400,937,715,877,855,516,703,431,786,636,245,310,638,319,751,293,773,898,
036,342,732,112,157,830,152,177,722,723,800,480,693,016,330,108,735,537,132,
342,194,780,563,717,003,659,199,296,849,504,072,092,569,229,531,007,454,238,
798,680,742,861,751,091,154,907,783,834,997,464,063,122,641,697,816,310,024,
864,825,376,248,472,966,442,607,355,058,936,016,399,349,494,750,279,466,360,
165,829,170,559,776,003,194,128,796,461,281,580,844,473,566,697,330,807,228,
858,282,755,894,080,465,507,593,906,775,325,741,032,225,652,433,092,929,840,
732,417,590,519,881,309,433,606,100,316,540,401,637,480,726,454,728,637,154,
626,462,239,337,513,206,053,133,258,592,208,460,655,432,410,716,413,417,664,
457,879,977,511,361,808,029,070,525,361,962,899,838,733,328,803,467,990,791,
381,894,812,855,604,978,976,586,787,729,288,143,914,779,605,407,691,398,414,
238,901,329,211,594,839,124,977,015,116,309,143,975,548,333,561,513,974,700,
522,049,454,010,667,197,836,070,661,879,592,678,613,330,520,787,189,351,202,
044,083,490,076,608,978,756,178,967,825,918,552,916,814,455,045,911,082,328,
902,036,394,374,743,587,903,965,253,408,550,062,855,710,381,127,235,914,395,
722,303,549,799,087,923,191,236,291,723,537,525,078,125,550,533,920,999,379,
793,101,979,408,198,731,464,894,307,019,084,527,932,059,913,877,851,606,017,
607,282,172,876,798,515,835,060,254,606,495,165,764,912,735,995,611,723,328,
591,681,917,686,454,941,286,569,625,859,331,011,086,428,613,011,810,299,505,
796,557,420,718,409,202,080,046,293,703,942,301,614,086,245,135,839,480,634,
876,183,486,305,265,708,535,380,675,006,551,743,587,923,140,670,007,242,900,
240,685,434,643,277,283,525,730,787,327,981,975,111,086,537,628,691,637,966,
851,382,536,097,100,689,414,499,957,053,420,793,691,103,727,475,374,926,372,
693,785,194,446,919,930,877,754,854,930,731,956,415,332,784,381,882,354,222,
439,174,564,926,411,006,711,837,432,228,359,592,099,606,727,058,936,776,330,
120,869,933,019,337,903,311,444,137,265,105,831,498,289,628,553,616,441,922,
105,167,606,268,376,179,431,933,715,833,738,379,737,236,733,617,039,687,947,
873,525,436,405,515,696,115,120,056,738,754,185,428,934,952,643,220,677,418,
110,097,371,743,825,678,599,565,958,130,395,043,895,066,293,510,464,857,698,
410,922,388,696,160,606,990,239,285,219,764,971,041,732,566,029,469,189,838,
457,919,016,179,107,362,773,206,596,501,927,309,646,101,472,105,678,324,833,
900,817,044,326,532,033,793,155,375,096,025,314,813,171,406,461,007,648,529,
463,674,749,101,434,134,280,223,869,894,068,678,613,339,958,764,685,889,643,
350,407,422,753,521,774,511,988,760,374,832,738,546,692,404,330,679,962,599,
097,370,856,649,053,093,598,891,822,384,263,001,571,522,140,613,478,063,709,
665,306,559,497,736,788,577,485,443,260,644,582,692,113,736,660,985,476,066,
326,984,994,487,877,558,928,213,898,711,680,464,723,396,086,352,659,580,923,
778,070,493,320,559,512,842,202,005,580,116,564,757,020,573,962,000,660,595,
135,729,804,028,780,088,075,763,846,770,486,805,577,343,350,155,284,517,088,
296,150,830,720,429,236,501,023,997,634,894,297,662,948,241,079,149,937,267,
639,023,312,395,852,883,839,094,975,764,130,181,867,970,955,406,432,631,257,
775,274,059,761,953,308,756,332,845,338,905,477,296,017,499,544,875,401,180,
073,256,431,779,424,734,471,576,736,524,413,219,550,853,439,683,304,306,407,
413,935,567,422,783,288,096,609,726,154,275,929,267,228,942,300,693,222,835,
732,159,867,210,815,542,675,988,452,534,825,708,554,711,774,233,212,358,329,
711,179,827,675,564,583,195,718,572,612,087,272,207,025,822,702,662,601,208,
312,557,656,553,997,885,636,810,479,107,710,242,940,374,579,177,998,856,871,
408,828,794,811,538,313,502,173,358,179,135,859,779,108,226,263,775,548,657,
400,008,806,843,105,803,797,925,896,073,568,314,497,826,169,829,817,106,789,
809,993,593,204,965,174,692,225,406,972,946,411,164,580,306,739,110,091,261,
662,512,734,269,920,945,321,303,775,655,236,564,520,426,534,506,250,003,393,
575,811,912,132,431,589,180,043,374,052,782,270,184,931,487,724,411,030,200,
390,814,605,890,951,692,703,037,099,356,281,555,586,456,907,426,720,841,253,
265,939,797,722,607,237,620,639,893,337,061,494,194,902,854,009,315,291,811,
896,492,663,817,549,120,408,016,390,367,696,944,305,761,533,899,365,745,301,
682,127,907,123,664,478,556,238,475,514,815,691,132,481,828,827,261,229,935,
149,748,901,989,097,210,242,636,628,471,947,542,265,418,300,701,545,224,926,
107,811,660,774,126,046,179,229,777,601,017,127,062,131,075,328,357,366,759,
793,621,406,853,405,701,842,392,449,864,707,029,978,825,942,633,997,580,918,
064,400,234,838,101,072,673,375,349,016,208,437,905,680,919,442,126,298,504,
613,645,349,796,320,518,916,140,075,479,397,630,883,734,897,679,535,567,117,
391,194,514,243,033,002,290,043,154,293,502,632,537,436,824,330,583,594,460,
252,920,100,861,246,663,239,264,802,414,440,539,103,586,841,071,424,379,915,
500,488,010,577,375,153,536,553,206,808,496,465,648,295,948,197,697,985,677,
756,318,941,142,917,541,088,179,804,710,811,039,242,954,126,189,189,900,662,
102,183,651,318,019,394,125,897,851,555,481,650,443,526,113,983,356,207,332,
014,208,610,122,595,430,821,867,358,272,141,168,541,495,440,755,201,050,825,
306,850,944,496,626,773,946,723,407,373,243,216,890,723,463,270,754,827,920,
945,243,621,556,421,694,571,422,934,383,895,986,950,409,071,391,868,542,439,
323,512,134,166,412,834,696,487,568,385,670,150,263,962,323,263,292,447,293,
863,982,784,500,803,999,208,259,011,835,641,801,588,771,284,869,819,799,268,
373,302,065,504,987,235,358,082,545,953,262,493,814,939,029,886,103,336,250,
323,908,850,787,958,551,964,414,979,920,154,598,106,904,026,729,708,686,607,
010,465,368,020,558,972,829,944,209,235,007,130,161,382,229,045,024,576,688,
150,899,931,640,668,697,487,029,667,114,301,012,338,165,836,113,541,730,689,
410,794,754,485,517,498,715,143,891,512,527,622,999,678,871,618,625,737,014,
507,431,918,810,628,562,874,302,715,019,104,483,011,605,586,819,793,879,739,
236,316,390,993,770,263,013,313,675,798,602,975,194,201,964,529,302,398,933,
486,096,312,200,598,381,541,809,663,344,642,444,529,501,751,647,343,109,733,
975,801,233,800,178,749,812,612,735,620,090,629,108,976,353,613,908,905,882,
262,785,992,241,462,982,770,685,860,979,187,730,175,447,933,626,383,085,467,
157,044,234,244,837,175,379,401,801,674,724,665,137,552,641,621,015,289,864,
520,046,884,320,944,959,270,007,296,119,389,797,075,760,406,257,790,423,380,
453,739,593,009,718,340,724,380,915,976,018,031,398,073,786,934,815,779,440,
109,674,591,210,352,451,699,222,814,627,696,017,488,699,205,105,387,266,544,
580,510,781,937,760,184,555,036,549,055,254,184,857,891,838,999,172,874,665,
332,302,150,593,173,323,440,477,499,555,054,193,718,367,610,072,593,582,353,
974,470,624,386,863,422,196,763,322,937,623,901,648,860,637,466,910,392,707,
464,082,904,507,567,041,469,657,643,815,480,100,373,060,825,601,730,809,749,
420,596,289,510,078,361,101,818,933,176,652,821,824,327,139,118,018,134,876,
890,458,887,831,720,600,213,566,603,362,873,772,799,965,886,474,113,188,095,
643,129,086,523,383,862,982,067,216,574,208,314,860,463,969,962,790,252,220,
817,459,779,886,689,736,770,041,773,609,366,384,231,500,669,395,501,820,644,
212,623,101,459,792,776,344,874,444,038,854,244,916,502,385,212,362,845,050,
745,984,129,786,605,742,870,726,536,430,647,802,152,262,926,826,302,522,324,
118,110,034,450,931,914,657,966,144,606,855,843,092,237,249,016,701,137,561,
616,531,650,583,367,802,861,999,550,874,608,654,415,132,361,879,894,667,489,
681,893,601,345,111,577,623,390,526,646,894,681,896,214,907,347,179,747,139,
423,490,986,668,462,349,255,294,424,668,650,277,774,558,401,147,839,659,882,
982,883,219,667,257,485,706,943,652,448,330,694,747,950,150,164,142,345,478,
297,381,096,414,613,171,738,941,767,048,517,282,607,700,250,663,007,897,399,
607,113,753,243,417,734,937,619,577,039,251,542,129,117,014,243,634,802,227,
717,223,141,968,141,736,392,391,146,659,192,088,917,719,727,525,847,787,603,
115,503,528,224,009,071,855,126,941,858,417,186,582,431,378,253,476,486,950,
793,078,138,468,396,354,761,810,470,989,451,933,422,293,460,145,885,595,510,
969,530,688,609,441,033,471,269,048,287,661,408,749,002,788,892,410,843,783,
518,106,196,609,148,006,439,275,749,024,388,030,853,475,827,238,542,099,089,
244,443,552,562,603,795,857,331,208,926,691,292,807,689,164,442,386,677,186,
356,767,051,970,511,532,197,237,587,903,229,475,247,754,199,170,211,969,332,
489,963,216,330,836,880,984,733,531,437,558,001,988,845,986,426,268,144,007,
628,883,669,921,987,261,222,152,011,454,000,171,556,925,015,649,770,257,151,
108,596,035,398,399,144,267,630,060,421,486,989,424,438,633,571,663,676,284,
166,115,752,310,100,234,482,620,088,403,728,372,315,125,088,323,316,225,024,
252,060,039,497,783,155,461,763,724,821,616,464,526,534,608,353,663,087,520,
707,559,467,469,104,458,109,071,408,352,578,471,883,961,936,959,056,648,886,
547,873,794,336,153,264,367,242,652,400,073,755,368,761,848,077,982,106,257,
347,573,777,769,603,408,202,374,931,458,845,087,640,941,139,301,824,909,945,
491,674,376,429,160,449,187,787,969,952,458,207,224,139,992,646,684,547,838,
245,441,648,034,168,718,553,611,284,266,141,343,898,828,807,323,234,049,521,
522,586,198,233,023,222,039,557,905,858,006,955,324,312,630,242,996,481,401,
622,339,160,656,971,567,720,662,976,537,726,532,951,331,731,633,344,316,550,
571,358,632,820,254,661,373,932,033,230,578,399,885,670,959,956,528,591,578,
714,239,516,475,967,684,364,534,388,925,347,230,027,248,879,316,318,431,068,
554,776,760,084,458,836,491,201,687,469,420,467,663,708,017,065,491,464,746,
146,306,327,918,249,896,961,899,871,470,492,420,843,473,619,640,164,259,164,
063,786,092,481,463,511,208,648,513,014,074,547,847,318,755,095,862,147,202,
376,729,453,952,793,169,044,228,675,639,395,167,460,019,878,317,997,115,011,
236,388,190,185,631,760,233,453,822,569,086,355,550,149,382,126,140,142,011,
229,404,387,615,148,019,025,452,876,782,524,118,416,690,769,249,990,444,317,
799,230,856,463,807,056,104,351,834,995,553,117,257,535,768,210,274,290,847,
827,670,565,637,803,719,690,545,513,188,303,257,693,583,879,754,455,216,711,
626,052,056,443,499,673,390,836,626,110,186,434,422,123,266,276,372,883,883,
586,731,552,598,829,829,381,613,730,451,175,153,327,015,367,103,806,088,643,
353,360,647,456,179,290,735,109,596,037,567,935,011,140,971,275,661,141,187,
561,770,114,468,703,976,113,341,950,034,636,584,614,497,654,942,804,357,565,
996,121,744,030,324,024,212,732,372,981,186,143,393,924,557,626,405,168,143,
041,206,386,238,999,251,944,830,131,795,473,874,535,771,471,854,982,525,392,
818,027,429,665,490,914,482,216,781,074,729,510,199,646,074,209,865,349,066,
544,182,808,751,593,313,409,121,680,858,728,386,690,097,110,915,149,202,813,
558,193,473,164,407,138,696,527,625,235,795,134,026,016,445,429,041,792,762,
489,910,780,743,582,488,621,194,136,824,498,542,028,798,138,778,202,184,265,
315,719,531,606,665,257,422,321,828,203,653,969,652,922,866,910,135,750,004,
863,155,219,417,354,203,669,768,416,117,596,528,482,579,091,770,545,237,220,
602,700,514,321,890,706,075,447,606,156,072,584,828,842,575,071,459,832,023,
685,787,351,782,604,213,264,662,834,145,938,933,720,902,472,158,477,925,129,
775,590,037,740,973,090,277,214,913,121,623,317,659,875,707,798,174,119,350,
506,418,919,854,323,796,651,171,084,020,958,563,437,614,293,486,742,719,120,
124,131,810,592,159,733,934,332,711,442,518,633,298,216,321,887,233,228,655,
868,639,042,683,419,909,206,390,345,549,623,645,624,716,693,748,018,461,131,
987,810,330,366,760,214,629,053,494,495,200,896,227,512,720,633,078,889,657,
181,883,880,239,957,884,067,952,534,550,223,277,918,900,920,189,798,340,095,
037,808,402,185,911,273,644,767,490,856,995,124,660,842,677,674,130,135,371,
813,141,329,078,929,332,662,145,490,734,463,753,982,041,144,788,025,792,281,
747,564,900,967,615,926,755,024,956,767,015,839,882,003,132,667,411,200,699,
591,438,285,442,284,698,751,314,085,372,729,945,616,986,272,563,472,309,781,
754,496,370,484,289,819,399,965,795,277,689,826,388,822,296,323,723,478,933,
392,640,150,806,379,785,905,599,610,583,259,484,556,427,482,320,961,352,288,
508,624,864,677,719,531,543,578,850,076,716,630,949,448,146,273,817,003,743,
181,092,920,577,439,025,832,315,739,737,953,111,613,331,762,976,979,809,397,
031,666,224,501,374,392,904,330,978,563,208,833,765,976,099,248,213,726,519,
667,469,108,169,730,581,442,755,416,481,766,968,560,681,583,120,382,709,739,
913,878,121,223,605,134,244,959,435,498,980,880,365,229,563,117,687,185,275,
177,663,746,383,756,369,393,092,398,769,865,477,436,664,578,100,094,948,815,
353,214,360,632,030,344,574,002,716,272,189,616,954,777,560,763,199,884,579,
238,333,273,718,071,847,857,904,323,087,775,475,773,612,396,008,106,223,420,
256,073,990,955,110,105,553,790,780,781,991,719,278,783,493,488,397,909,326,
623,599,339,891,229,146,905,759,772,747,072,250,674,665,972,760,127,590,720,
521,710,971,763,766,694,198,574,588,029,108,896,777,745,875,985,006,098,097,
100,262,941,898,961,905,193,944,916,926,872,785,893,030,205,482,441,572,120,
115,988,847,181,950,623,337,869,861,679,297,673,951,690,345,070,400,897,875,
217,337,552,540,344,531,868,304,063,662,471,413,762,177,539,763,886,477,686,
012,929,886,147,259,768,715,140,192,327,998,211,309,240,850,628,589,265,302,
446,656,230,975,585,168,422,614,880,034,128,811,637,843,623,330,400,305,145,
553,383,319,994,490,950,676,267,543,409,699,410,698,806,818,063,518,446,069,
895,962,936,452,398,017,609,229,830,795,854,027,019,622,283,729,147,376,369,
376,372,240,921,677,446,705,678,555,734,004,931,424,772,564,839,154,259,004,
036,954,257,591,759,648,632,083,235,215,216,696,430,335,082,536,963,693,939,
254,826,250,908,109,245,840,149,452,777,429,778,063,432,627,887,349,257,435,
221,575,239,209,217,663,293,956,469,010,788,814,447,083,648,555,343,666,086,
828,756,649,462,393,718,414,940,175,395,935,660,578,060,483,764,871,157,564,
044,639,303,645,122,768,731,038,299,241,429,967,783,421,585,813,349,870,388,
963,965,612,046,539,630,774,365,395,195,557,144,691,446,533,533,340,261,825,
510,439,252,742,036,945,136,422,671,307,115,702,242,391,465,635,500,929,642,
931,368,277,562,033,518,346,426,215,058,004,847,918,115,956,870,877,877,018,
217,896,932,442,675,022,020,081,026,963,268,256,947,707,660,643,696,266,306,
880,112,071,112,464,848,842,742,437,560,910,025,031,453,404,883,542,391,343,
266,213,874,903,182,394,081,464,090,816,794,303,257,087,061,440,728,298,040,
485,918,705,280,669,773,139,286,154,415,791,631,377,836,465,696,129,687,269,
743,084,691,548,061,291,832,887,873,350,055,746,289,564,722,705,561,406,208,
060,699,998,638,555,352,293,357,395,951,555,087,131,524,952,343,625,609,840,
111,220,451,126,585,102,423,791,720,768,722,525,080,835,359,410,729,194,424,
555,502,649,445,628,506,369,979,102,600,166,857,820,674,750,591,086,421,993,
635,595,127,419,814,834,174,945,841,883,866,071,956,694,450,494,012,973,727,
637,869,347,146,781,039,259,981,566,253,926,713,195,602,487,369,029,376,334,
669,294,549,129,533,477,390,371,001,614,775,732,431,695,697,640,118,047,865,
060,051,548,131,753,344,270,473,672,044,929,142,647,129,304,511,701,147,688,
432,500,059,843,425,751,815,822,410,440,033,965,370,972,154,729,046,038,940,
110,661,459,962,944,386,415,289,346,124,715,425,954,195,578,132,345,240,344,
957,366,393,429,465,245,453,738,484,937,627,360,928,666,039,523,660,396,485,
299,144,524,966,932,521,341,875,354,571,942,486,411,573,663,664,544,318,129,
762,080,913,389,313,075,488,745,016,405,216,797,496,156,113,231,127,242,854,
244,250,013,087,236,005,576,353,899,400,152,392,055,975,455,077,768,320,406,
746,822,585,490,666,485,626,936,940,640,458,626,434,850,038,165,641,663,442,
319,989,790,629,561,818,917,439,649,932,810,790,088,272,765,707,802,316,616,
608,167,214,190,556,856,541,404,225,251,898,648,556,078,415,528,737,371,193,
498,806,920,699,300,209,401,958,588,448,525,693,456,017,798,694,961,451,544,
125,120,339,402,259,920,561,782,874,638,430,908,153,803,944,025,805,461,018,
778,823,846,214,609,421,325,851,173,152,495,753,654,640,364,139,748,924,710,
159,501,599,045,840,073,050,850,595,804,300,028,167,611,909,258,810,374,539,
615,451,345,267,842,992,849,822,168,246,720,175,166,581,017,548,961,653,109,
071,929,580,389,495,231,715,414,049,344,973,326,709,502,094,743,767,606,002,
311,375,485,720,011,417,290,014,551,336,130,309,757,684,427,424,694,541,897,
652,669,139,622,620,222,413,615,254,377,212,237,008,071,528,039,767,444,557,
391,316,661,419,771,583,101,237,113,574,357,132,349,842,557,865,385,049,181,
541,250,788,512,417,289,560,057,964,354,681,463,539,840,721,397,044,981,273,
789,826,364,455,682,289,253,194,851,629,500,190,436,813,282,823,904,508,737,
067,604,288,566,899,779,592,335,445,879,064,515,000,631,941,156,075,912,711,
212,233,574,954,350,353,539,625,366,705,782,626,412,849,944,248,811,789,662,
917,444,691,080,421,080,629,000,172,236,302,384,405,602,810,622,328,097,294,
193,192,035,047,566,684,469,215,149,600,883,036,823,034,118,976,275,916,383,
089,936,911,591,884,352,119,701,559,931,086,334,924,928,007,063,167,894,936,
535,430,964,158,010,671,888,786,428,445,607,926,020,274,954,267,159,130,604,
762,929,716,433,257,934,229,317,805,486,596,553,233,561,234,200,455,750,496,
789,062,996,453,722,791,582,648,643,437,506,255,571,379,217,674,077,376,574,
201,417,437,833,033,020,580,732,385,382,128,406,889,497,773,021,439,792,563,
312,525,472,134,875,129,515,986,956,078,112,489,346,716,464,231,194,583,066,
658,101,699,290,855,896,249,317,586,074,349,578,695,174,352,856,559,912,121,
211,666,491,780,593,611,491,603,946,056,745,714,841,588,559,281,709,598,677,
175,856,945,873,264,486,057,922,081,784,258,171,535,997,389,275,616,014,636,
948,111,176,519,700,381,212,125,969,837,145,238,712,242,292,907,018,603,835,
318,872,027,337,008,529,038,367,765,902,424,303,817,562,660,001,146,877,863,
255,563,078,064,093,730,557,833,101,876,415,940,848,350,007,967,379,786,963,
414,441,608,633,029,984,602,283,167,402,115,239,474,927,863,800,378,388,310,
272,276,162,704,227,882,928,215,501,059,738,012,007,258,483,051,279,885,928,
699,643,848,006,213,183,274,060,611,559,160,166,515,919,740,089,375,537,423,
590,827,237,438,308,589,380,913,073,855,728,466,924,411,128,816,574,532,983,
469,033,966,737,041,798,148,199,175,531,535,508,529,474,626,555,528,059,530,
772,803,644,394,843,407,233,500,758,429,936,352,688,974,832,629,700,088,297,
897,585,563,000,303,742,844,386,487,544,396,074,065,884,928,604,152,642,617,
377,611,630,269,571,416,468,151,785,620,837,908,835,259,388,590,097,169,445,
424,026,109,065,480,803,802,104,413,332,458,602,113,410,581,735,362,912,074,
599,789,752,887,235,461,905,813,835,671,034,639,630,033,643,503,213,083,878,
190,938,772,311,816,148,481,768,614,266,209,482,943,821,335,029,004,424,726,
493,604,729,710,774,784,586,341,582,003,105,274,512,121,654,596,302,736,082,
856,772,545,498,799,448,104,383,562,803,027,127,575,809,746,335,595,670,859,
373,739,703,355,730,866,174,798,421,415,307,401,306,086,507,000,489,548,986,
298,167,298,365,761,791,564,221,047,973,568,783,455,240,241,552,927,349,367,
425,668,444,575,332,065,656,717,638,596,393,771,819,913,246,742,998,778,033,
407,784,173,636,195,532,994,976,866,596,660,576,838,316,139,884,118,556,173,
369,524,202,516,967,930,018,626,810,807,366,700,961,774,047,346,169,623,057,
066,381,089,200,920,242,935,414,427,058,226,979,545,161,747,602,901,223,333,
149,733,852,002,168,258,574,695,587,255,100,872,417,744,558,608,009,586,630,
746,843,280,468,588,278,103,692,427,922,657,482,146,186,101,108,597,009,683,
561,155,555,763,814,911,753,860,363,233,221,985,812,520,058,672,327,065,659,
294,967,928,238,110,444,856,196,570,648,372,446,923,280,559,471,099,066,397,
159,509,664,002,230,486,767,008,191,513,713,162,216,367,229,856,623,807,370,
774,270,805,910,929,546,883,150,961,774,012,966,065,815,052,449,861,268,251,
147,455,159,874,606,304,574,452,243,998,287,829,029,946,673,667,508,447,706,
543,972,696,458,629,775,441,117,009,394,633,145,712,430,816,886,241,015,869,
912,876,334,334,597,118,833,693,278,986,935,380,746,658,334,226,859,016,655,
870,348,489,925,421,517,833,490,954,302,229,855,072,545,859,306,274,051,280,
241,423,249,160,822,961,473,178,482,489,962,862,139,893,870,139,735,919,893,
914,224,788,614,182,976,767,039,950,493,814,596,040,031,605,298,568,621,604,
891,537,117,332,980,749,108,666,223,292,634,041,321,780,510,276,199,022,730,
662,035,335,884,095,956,359,221,087,372,854,240,446,357,649,222,627,407,788,
796,843,542,010,727,960,716,128,243,881,396,229,901,814,459,916,129,386,354,
806,393,565,441,736,353,963,133,915,533,793,082,978,203,756,546,238,035,562,
097,284,488,625,716,809,052,683,381,141,305,327,486,407,447,519,120,559,452,
394,579,003,580,826,629,051,191,276,579,710,773,110,465,775,076,527,570,976,
430,536,436,371,595,726,726,484,440,138,592,815,878,528,155,991,181,312,195,
705,964,363,265,679,355,863,286,286,778,481,072,241,803,942,384,764,328,251,
941,654,235,701,833,407,763,340,393,893,469,807,872,119,285,644,457,452,146,
199,551,178,160,039,229,010,275,607,682,188,304,528,670,719,792,645,997,359,
162,983,291,671,612,507,612,075,904,616,391,686,537,569,459,337,870,692,303,
834,324,470,246,809,839,195,486,493,643,096,280,604,689,006,273,179,537,239,
069,667,498,480,816,639,312,076,286,418,179,973,283,722,121,285,645,340,712,
502,573,930,718,584,895,380,198,947,281,430,563,544,392,538,304,987,377,265,
770,343,988,653,888,039,602,520,443,698,126,978,367,922,807,447,945,933,518,
103,727,683,885,747,619,341,244,378,317,447,306,464,085,282,646,926,603,996,
444,255,451,529,964,895,021,587,037,833,555,086,799,175,639,653,356,326,397,
878,483,095,008,716,128,082,793,530,711,453,961,566,784,594,575,641,030,462,
140,917,778,301,520,871,169,010,275,446,830,140,021,200,806,290,080,838,422,
096,760,751,647,528,800,455,199,675,438,605,613,638,544,440,275,805,901,209,
933,888,292,451,652,275,559,982,906,488,353,563,197,865,674,726,814,994,732,
603,450,049,589,042,517,145,171,708,232,401,615,554,165,250,133,986,413,971,
485,148,787,754,594,682,524,340,500,950,087,460,789,126,155,321,244,269,567,
367,018,684,345,836,700,154,052,596,243,336,057,620,423,816,896,982,326,050,
629,170,304,114,591,574,481,354,064,363,437,406,191,960,018,182,559,887,704,
167,212,987,416,953,079,790,977,623,201,442,598,196,270,117,235,834,410,838,
079,471,641,289,150,599,542,969,197,613,248,154,366,471,012,093,096,380,470,
582,268,195,422,875,724,552,858,281,294,810,204,986,226,211,340,421,344,341,
627,005,589,221,091,730,142,036,933,697,768,482,818,569,637,198,657,655,321,
649,305,700,572,157,655,964,931,736,895,647,902,871,287,542,491,406,810,313,
132,694,589,615,686,342,045,877,634,971,952,417,488,108,611,350,483,964,537,
621,464,102,692,634,604,132,331,338,810,567,422,913,693,547,182,082,389,368,
819,941,613,484,387,031,934,951,087,137,111,529,544,769,195,836,138,292,500,
837,913,895,924,475,672,540,494,584,009,015,230,468,153,684,307,990,763,209,
489,090,270,430,597,528,610,089,951,602,285,226,131,225,600,859,361,636,106,
382,433,659,487,065,307,130,629,876,179,120,469,314,139,388,571,131,014,754,
662,931,404,002,561,786,087,185,231,638,064,875,075,593,242,400,854,539,264,
805,624,393,158,778,384,359,738,831,864,050,358,914,505,332,347,824,785,757,
319,399,914,303,736,758,055,902,011,664,085,179,618,463,506,493,275,209,701,
656,223,375,113,809,442,207,022,664,776,945,784,044,445,743,702,396,206,237,
364,634,636,553,069,417,809,194,710,590,934,354,659,532,535,317,819,583,222,
033,412,634,447,151,746,618,076,809,640,912,850,310,408,119,641,155,389,220,
783,834,141,349,131,910,411,675,722,494,510,646,664,442,264,499,792,337,958,
944,347,886,412,668,231,527,980,705,947,426,698,385,406,079,102,113,025,045,
949,991,593,423,683,206,476,214,947,303,362,986,423,796,268,004,126,299,666,
681,407,771,514,641,081,416,685,835,829,655,005,017,308,636,862,664,408,796,
162,335,903,156,369,771,040,625,297,374,406,435,706,678,171,637,555,548,349,
094,465,570,795,118,155,009,328,846,810,717,087,410,038,299,546,273,595,751,
817,854,743,372,344,071,968,391,429,779,933,154,835,968,729,220,860,395,548,
098,187,212,741,261,772,590,379,893,605,554,587,096,347,983,401,752,299,563,
657,379,280,968,222,318,483,759,722,143,909,768,432,959,638,367,749,508,410,
776,842,173,999,019,417,968,666,387,396,270,202,639,576,966,012,984,335,492,
820,490,260,767,543,622,738,504,990,672,673,244,077,130,212,813,707,545,659,
813,025,519,315,600,851,076,503,010,377,403,270,491,347,735,201,899,690,996,
167,350,008,234,308,946,287,877,727,922,076,406,487,694,407,172,089,758,416,
443,857,841,284,410,799,426,634,825,205,937,833,891,794,707,896,664,673,534,
383,051,358,328,376,062,043,871,468,687,131,196,893,276,298,618,562,152,184,
664,875,868,527,559,672,551,741,380,787,728,951,199,247,633,095,903,696,064,
188,728,294,753,690,043,220,618,617,585,306,299,547,140,181,394,185,828,532,
452,472,165,787,520,742,704,022,813,194,876,273,041,096,207,726,402,164,786,
870,987,753,067,839,460,523,720,346,510,620,876,205,515,481,337,667,012,827,
019,617,994,679,140,964,817,268,583,568,847,626,182,600,665,418,718,311,804,
719,740,190,426,413,493,315,742,654,956,409,848,549,686,766,218,260,264,771,
639,766,717,367,637,941,080,081,383,647,774,933,774,944,677,778,694,591,299,
418,948,905,728,378,210,910,313,162,582,302,449,641,072,292,529,855,383,529,
585,545,177,657,628,657,198,847,741,576,209,766,988,323,071,942,995,800,165,
791,091,454,733,304,573,254,457,822,530,890,875,822,671,195,843,985,931,338,
695,162,293,615,412,485,614,096,846,608,128,189,758,188,309,986,600,796,297,
809,560,588,330,713,301,205,807,616,349,856,022,095,670,597,592,073,252,940,
417,858,913,657,615,348,770,425,068,958,458,432,433,616,087,158,906,231,915,
879,265,624,708,964,940,522,424,303,256,984,385,517,676,880,974,876,997,061,
582,249,434,755,646,584,060,928,265,245,978,485,792,731,951,295,454,090,426,
178,236,159,186,368,595,847,832,754,141,259,883,777,920,657,167,634,826,318,
227,330,656,840,830,463,976,030,023,177,580,175,439,140,943,229,642,854,187,
899,811,542,514,030,028,621,689,141,402,330,978,841,142,931,679,339,151,725,
232,951,358,252,629,561,834,920,378,359,720,484,717,575,176,050,022,677,473,
999,106,138,423,768,330,497,566,975,999,927,860,961,578,317,463,743,271,189,
593,814,707,599,787,238,517,432,792,696,611,130,439,571,992,139,035,426,669,
911,366,368,934,232,872,071,247,379,480,521,982,187,705,095,160,871,699,153,
302,474,710,098,671,974,241,352,499,908,168,561,776,845,418,216,785,254,985,
120,579,649,761,574,095,120,659,686,461,627,908,768,872,518,704,105,235,351,
356,177,451,081,983,546,075,120,566,727,173,925,042,805,417,259,910,604,054,
395,083,157,864,707,513,387,973,337,516,451,306,610,855,522,709,853,183,818,
635,298,672,818,115,096,438,267,473,556,262,341,188,578,138,931,516,430,786,
721,661,472,069,864,132,302,188,784,224,983,901,025,855,124,770,320,900,100,
888,349,308,394,947,335,398,386,854,639,939,855,336,006,154,662,093,156,651,
588,110,628,805,954,050,371,240,900,281,847,497,653,571,124,902,333,578,245,
039,187,989,979,403,964,259,586,277,623,698,552,728,258,242,186,228,861,708,
434,363,133,455,855,956,338,855,159,869,291,350,816,434,797,792,075,587,348,
645,576,308,421,041,576,837,646,982,905,522,891,198,089,886,197,314,856,371,
321,677,957,478,681,263,551,676,744,976,220,785,906,984,125,374,928,907,338,
510,972,105,776,029,382,543,719,426,064,133,029,479,887,153,191,932,815,358,
281,762,577,746,081,131,704,499,066,802,521,113,307,855,476,793,340,034,896,
124,957,161,275,340,007,179,507,450,973,656,922,549,732,270,477,519,585,001,
483,253,459,523,649,945,938,474,246,151,448,785,975,369,230,209,025,357,949,
832,796,976,005,853,420,601,754,860,963,399,816,262,662,325,667,348,937,955,
074,715,970,640,517,368,541,459,359,786,869,419,222,013,138,256,335,206,222,
520,398,015,803,332,263,166,188,987,435,009,076,324,446,463,585,941,064,276,
386,743,050,759,669,724,810,052,180,543,180,984,252,733,617,507,068,019,253,
290,563,082,073,085,756,807,164,482,413,331,221,878,229,899,235,110,946,175,
828,111,915,732,483,059,966,633,653,701,909,414,114,557,333,750,311,980,698,
388,960,324,368,459,409,495,064,833,613,879,689,562,730,413,501,382,905,301,
854,842,247,668,676,873,666,554,388,968,049,682,222,651,771,520,897,600,699,
911,615,498,069,776,988,187,748,129,441,382,012,011,596,989,433,116,268,171,
240,282,066,830,291,365,535,096,414,132,433,722,174,943,659,322,923,754,630,
942,475,665,623,571,029,495,499,638,209,467,072,369,419,909,709,798,882,205,
398,931,132,330,938,639,111,507,840,742,386,644,317,171,272,769,025,133,921,
596,867,369,884,331,228,597,308,612,681,448,055,359,587,940,672,332,283,998,
257,676,796,906,984,191,502,197,048,014,504,285,062,987,262,434,260,953,563,
532,901,566,060,529,869,332,819,792,003,650,157,622,474,898,695,419,836,077,
588,706,326,904,861,817,245,620,461,220,688,647,154,816,988,498,836,154,487,
659,218,953,265,910,917,051,979,821,980,600,353,430,316,217,077,019,985,840,
452,725,440,213,825,530,239,350,721,988,483,056,310,083,069,861,525,663,813,
877,900,056,440,604,235,399,484,318,583,831,442,760,561,333,680,683,459,087,
777,068,916,922,411,704,925,108,009,494,382,493,223,484,631,477,637,357,960,
255,180,651,174,436,476,388,492,896,181,792,515,499,166,202,243,440,211,803,
880,303,496,787,946,934,403,194,608,866,297,277,916,126,743,582,459,100,203,
507,753,250,522,610,010,116,973,202,285,345,313,023,514,455,947,604,606,623,
872,544,747,236,977,789,150,051,963,619,838,903,581,445,275,620,147,594,971,
845,768,998,334,625,714,856,320,561,863,387,530,426,399,643,328,589,303,159,
761,391,301,972,189,470,080,969,214,400,997,466,752,811,357,724,450,670,153,
100,723,077,457,640,867,427,368,420,802,508,601,154,480,375,420,483,867,247,
157,765,494,285,059,252,448,364,504,344,327,503,106,033,550,606,919,552,440,
487,256,589,302,118,331,274,162,378,334,846,130,642,936,762,772,644,112,224,
827,907,314,943,450,395,759,417,101,617,086,759,367,923,280,133,121,655,083,
711,548,686,526,651,176,082,840,874,122,755,811,901,253,355,477,741,539,880,
366,159,245,512,232,827,870,997,497,626,231,898,769,604,961,723,241,254,549,
692,807,215,249,995,326,446,865,012,940,912,959,367,860,825,136,601,580,247,
494,854,112,308,880,996,383,685,889,491,754,816,461,246,954,484,017,074,650,
124,299,445,536,135,466,608,978,508,272,789,509,515,915,612,334,457,187,327,
048,284,705,605,878,741,719,782,243,628,462,455,873,953,379,421,428,579,754,
840,236,090,743,151,216,525,789,225,490,483,907,849,692,234,400,393,184,182,
152,655,278,210,913,670,634,462,052,505,709,096,435,985,695,855,471,387,556,
652,929,073,124,913,250,409,027,117,181,663,431,734,299,208,053,471,664,639,
106,906,722,287,053,986,137,626,790,536,310,473,861,579,023,681,993,529,195,
363,436,020,139,326,129,383,077,619,119,244,035,797,910,303,570,325,331,082,
993,170,230,101,911,043,067,766,148,352,142,965,487,626,571,434,556,239,891,
055,573,412,806,562,888,035,309,844,261,110,077,809,275,901,874,454,080,385,
281,402,418,620,965,932,778,250,148,177,589,085,114,085,607,415,197,187,786,
304,894,824,856,791,164,446,016,170,829,345,193,310,577,029,627,741,774,101,
047,284,386,786,778,629,323,871,640,364,711,251,710,626,190,912,941,808,593,
703,121,034,970,972,914,883,765,793,925,413,491,983,569,761,603,376,709,554,
715,410,279,549,246,138,986,025,661,847,261,709,427,781,428,470,208,532,128,
708,546,592,488,718,286,213,147,258,344,548,885,665,643,012,554,219,435,437,
202,106,467,736,005,097,278,016,263,968,780,590,145,489,923,868,331,099,018,
337,083,561,650,643,140,121,914,259,765,251,523,095,508,408,169,943,254,869,
762,620,705,102,512,135,290,819,210,723,558,781,437,672,549,136,923,905,876,
220,472,670,895,782,450,160,190,977,565,240,114,173,499,558,315,007,481,184,
929,974,220,918,422,618,341,448,279,091,253,321,117,913,648,301,030,969,922,
466,344,255,567,735,559,768,772,789,994,627,784,544,106,093,682,897,024,213,
297,044,128,710,407,636,931,554,709,251,426,393,757,480,490,412,660,645,487,
871,250,959,588,011,374,727,785,747,574,124,538,731,596,121,518,183,201,467,
827,479,932,821,871,654,815,710,673,455,162,752,368,438,120,743,915,191,324,
591,669,436,770,954,381,897,302,376,653,938,076,513,567,133,787,142,876,924,
844,152,616,399,666,612,996,982,437,129,745,562,946,789,773,167,709,774,278,
693,635,975,943,177,862,143,046,754,586,493,464,545,750,458,476,874,382,746,
813,412,319,538,198,868,328,840,568,772,601,836,824,111,514,592,572,855,772,
757,647,072,294,465,454,364,506,823,338,999,751,343,531,493,683,691,368,620,
142,271,697,608,805,020,354,556,431,982,448,181,729,345,371,078,359,181,541,
374,226,485,758,971,126,359,839,438,896,545,703,186,554,690,272,783,242,687,
599,712,641,733,978,919,425,757,738,296,420,127,569,344,339,622,553,243,124,
337,534,607,761,890,154,383,446,933,532,298,589,912,631,318,603,425,935,078,
827,364,136,011,261,118,635,407,834,206,860,880,023,831,102,159,632,356,337,
137,650,762,801,372,559,891,917,663,690,342,221,838,163,206,780,341,513,613,
467,031,330,064,956,718,435,278,247,600,508,604,534,912,984,738,946,879,502,
965,470,931,911,008,895,978,368,582,705,652,792,608,849,344,479,372,865,608,
179,558,861,865,508,946,980,411,029,229,675,240,335,691,674,946,049,990,188,
450,734,991,049,142,374,064,806,854,461,593,141,847,709,725,645,977,935,375,
120,710,498,434,644,349,593,764,867,635,291,859,264,759,709,600,283,597,640,
056,788,300,720,513,570,252,142,475,156,989,278,785,611,942,128,740,523,677,
003,572,185,293,541,282,982,809,026,442,700,806,961,683,779,918,798,336,856,
560,465,379,649,407,613,152,812,262,519,578,926,985,826,730,782,329,623,704,
450,043,763,852,031,967,256,824,167,882,832,641,126,463,460,674,292,166,248,
441,092,776,568,750,804,282,300,569,954,884,278,033,714,708,535,668,735,358,
713,794,287,142,688,455,418,200,700,186,149,591,011,988,192,339,364,026,850,
599,638,043,991,090,634,617,695,133,022,208,625,835,404,852,863,861,525,186,
697,827,375,558,644,971,232,268,450,360,968,208,987,520,187,377,398,474,953,
739,848,137,633,782,377,229,715,747,696,528,014,068,195,584,664,057,261,321,
617,931,396,313,764,013,727,741,551,478,419,293,660,083,961,643,032,766,548,
349,820,461,745,621,325,493,365,869,388,736,669,280,976,964,359,633,099,075,
785,070,983,306,673,576,851,043,333,583,484,609,202,229,360,447,594,250,631,
715,478,010,902,929,307,609,612,521,665,895,885,277,828,371,098,983,202,025,
437,754,873,863,745,081,529,540,560,709,412,415,321,489,947,232,941,899,388,
884,032,234,591,175,256,738,028,354,302,716,243,881,855,513,168,020,148,445,
002,020,880,238,407,756,429,952,535,088,606,188,545,985,082,841,748,632,034,
106,530,281,409,128,305,946,720,530,487,900,724,579,511,404,625,955,825,999,
045,173,719,909,440,817,337,881,935,294,118,602,994,085,558,917,536,737,705,
251,855,808,292,537,378,780,323,822,978,650,614,076,355,442,435,475,446,662,
174,950,292,826,750,591,868,039,459,621,096,690,863,055,854,262,844,404,432,
796,245,143,613,653,557,708,640,767,327,704,894,908,709,658,993,877,073,223,
622,445,118,112,695,829,903,240,289,819,250,399,500,293,259,478,640,027,087,
332,201,288,097,737,724,925,164,674,090,456,483,239,135,647,006,237,568,260,
405,053,300,672,363,638,154,064,061,124,440,233,145,288,803,468,121,258,776,
254,236,036,553,819,435,195,401,507,531,822,025,835,936,059,265,796,097,818,
681,086,764,324,330,769,591,752,730,876,180,711,202,593,850,010,669,701,796,
793,463,991,209,550,975,815,645,078,657,387,975,833,453,665,283,319,749,599,
045,496,451,334,302,632,900,537,769,942,703,249,818,040,857,922,243,697,796,
346,343,907,910,429,718,396,464,144,319,010,188,673,719,613,716,575,373,993,
990,586,207,762,798,557,931,495,526,740,119,768,071,600,447,016,789,220,998,
398,776,717,239,785,639,986,906,992,995,314,178,989,770,842,196,914,042,292,
685,274,635,733,243,673,652,561,627,668,453,815,959,256,181,825,720,687,624,
934,615,166,887,046,346,630,811,986,821,846,362,315,866,494,150,819,182,942,
634,631,503,168,122,513,456,436,517,564,430,123,513,653,896,567,342,389,430,
698,411,748,001,419,296,623,279,380,857,278,391,058,407,346,612,072,576,741,
518,223,256,147,772,099,449,646,885,582,186,950,565,095,607,490,833,060,552,
319,506,407,336,763,044,473,639,734,878,847,530,406,087,080,179,138,511,002,
185,804,008,028,534,242,709,642,543,016,608,978,701,251,675,123,840,109,335,
180,911,250,552,331,496,818,495,884,694,435,724,726,840,187,446,691,869,810,
778,584,070,622,505,839,290,617,827,903,533,289,019,600,813,515,715,859,373,
224,638,286,876,078,524,027,392,677,326,937,452,800,507,116,732,753,886,207,
892,458,869,994,485,070,468,340,685,520,274,815,447,744,238,243,170,963,116,
599,505,227,980,264,442,165,903,304,532,331,098,867,436,116,060,474,584,953,
909,385,308,160,950,390,580,838,667,644,547,207,504,546,849,678,436,062,703,
776,131,214,053,399,749,731,564,072,410,837,888,282,847,474,811,523,021,941,
294,903,477,123,352,705,340,824,168,180,689,762,197,251,484,196,268,069,603,
382,292,506,845,082,401,705,553,480,233,968,305,510,523,581,482,551,226,011,
281,418,197,460,440,756,286,190,338,288,958,591,685,142,717,974,879,703,010,
096,594,116,137,128,420,649,495,261,110,672,905,874,912,219,434,622,432,319,
842,014,936,086,391,761,239,525,754,177,015,540,020,066,910,883,149,656,273,
912,297,510,189,153,780,893,469,295,910,413,700,146,502,791,026,359,253,157,
595,740,609,348,036,873,420,404,928,943,597,576,236,465,911,051,410,168,870,
960,029,310,660,346,360,821,097,381,470,216,189,989,720,088,381,881,010,538,
188,538,531,346,815,621,695,465,905,050,881,603,592,431,969,029,907,666,061,
496,716,397,490,326,246,531,641,831,967,654,344,218,962,710,807,225,313,229,
118,894,292,313,852,820,415,674,630,080,550,082,062,144,966,334,699,192,103,
965,213,181,281,690,086,260,633,336,423,037,464,542,976,771,436,724,457,126,
910,599,114,242,459,590,826,261,447,036,189,980,417,376,590,682,283,093,131,
980,171,346,247,080,240,960,689,688,061,062,929,687,200,039,108,173,974,222,
316,358,999,939,129,739,434,123,104,727,621,291,448,856,705,060,556,736,505,
687,453,903,565,806,184,319,822,708,796,457,573,433,308,814,819,508,346,654,
933,130,191,980,975,626,567,741,013,256,432,157,979,455,333,947,955,116,720,
858,078,574,564,545,633,700,782,069,375,426,438,166,602,379,970,520,174,669,
248,499,170,171,554,159,575,968,924,810,449,073,875,836,308,868,858,007,318,
263,057,312,914,548,135,276,836,360,809,006,085,615,883,637,309,680,672,161,
155,877,320,455,726,176,424,883,860,507,099,397,259,145,060,724,495,837,772,
445,886,903,466,443,286,113,673,253,834,445,836,885,042,732,296,702,165,007,
956,546,011,712,667,533,998,307,006,844,309,065,322,484,722,339,769,233,852,
292,107,632,030,725,099,494,764,509,047,254,169,202,922,332,439,928,461,529,
107,751,658,224,851,902,765,577,699,523,552,496,724,097,555,110,203,856,973,
201,456,272,709,835,535,331,485,486,068,233,928,943,508,804,054,345,584,215,
971,202,445,838,750,752,825,178,381,754,248,343,956,008,236,104,925,454,374,
856,811,902,365,038,485,754,339,817,789,927,561,085,771,686,914,842,021,642,
221,044,902,425,350,009,742,960,258,108,720,739,066,617,758,208,547,727,254,
514,964,387,797,443,473,892,020,398,587,477,360,232,822,317,841,397,328,527,
787,133,472,224,391,969,426,711,668,233,875,289,681,987,558,848,719,898,414,
696,575,364,053,942,888,051,488,491,048,156,933,947,946,453,448,072,627,428,
731,015,383,611,278,489,241,127,501,972,322,544,562,289,608,617,312,655,475,
471,826,946,348,154,486,381,797,157,878,950,918,989,745,259,549,700,322,399,
963,893,034,403,527,251,743,153,300,595,031,127,805,441,142,843,080,321,032,
803,565,331,167,604,327,179,415,505,367,457,550,518,519,191,509,064,689,695,
373,032,783,027,234,724,982,614,710,522,649,380,735,208,528,666,692,749,087,
639,421,965,279,044,676,113,691,557,340,759,511,204,066,257,641,572,570,375,
297,044,949,670,977,665,991,945,015,815,060,678,314,181,534,036,480,524,961,
555,253,688,235,821,076,026,367,643,661,632,301,056,357,680,405,195,582,845,
193,177,406,372,924,050,616,263,081,806,173,680,429,001,121,707,810,198,834,
291,997,535,125,435,331,444,606,704,953,128,545,854,158,981,094,910,745,425,
946,856,336,401,057,385,802,989,706,934,812,128,717,388,735,390,137,899,770,
450,555,984,844,161,193,709,959,515,869,870,769,028,339,637,635,253,302,791,
616,226,838,493,389,979,559,061,698,462,997,867,997,791,880,581,583,058,968,
420,843,699,990,568,086,531,154,860,370,987,648,274,770,489,777,967,479,061,
830,001,650,378,682,855,142,488,676,081,815,357,834,494,907,746,904,052,743,
912,235,940,791,827,953,406,801,660,413,663,492,194,226,263,091,797,086,446,
274,248,421,825,280,131,564,220,453,836,203,421,698,786,213,313,452,345,987,
252,944,206,211,160,109,357,512,189,515,283,844,271,475,811,372,910,876,888,
040,730,556,154,996,640,811,352,682,527,981,311,779,828,380,784,317,027,446,
992,966,086,365,477,803,080,687,787,810,880,640,888,630,259,492,271,833,480,
028,621,172,012,013,847,955,285,470,292,819,380,406,787,665,328,683,988,355,
088,167,622,520,672,284,473,517,254,137,118,477,268,107,426,231,724,964,982,
596,500,405,481,233,875,396,282,368,614,258,483,595,852,530,240,237,865,303,
193,740,697,922,710,062,075,415,846,872,437,667,972,710,570,427,214,534,114,
131,444,344,832,688,269,679,252,391,975,455,040,380,300,739,743,909,370,741,
300,310,614,276,274,322,363,585,864,384,485,017,833,390,120,246,399,950,402,
927,792,928,628,244,763,371,820,169,835,729,660,079,804,925,092,012,351,073,
177,145,006,986,005,678,103,901,858,843,850,701,143,833,108,458,520,855,656,
791,342,064,090,026,120,164,650,297,401,151,377,742,623,766,851,073,160,498,
574,586,286,103,836,584,387,423,374,567,779,347,115,793,231,569,050,591,028,
639,038,715,201,984,138,224,917,410,511,592,570,886,127,450,564,033,005,222,
963,576,451,807,539,648,962,261,924,695,730,834,668,012,080,512,893,598,203,
472,323,956,830,791,061,336,112,233,409,545,263,278,837,331,301,625,769,188,
079,303,181,144,856,990,421,875,987,180,051,088,323,722,504,822,713,332,089,
732,425,235,729,710,805,030,256,723,704,620,545,780,534,702,957,048,139,780,
374,232,059,196,802,476,881,529,728,541,925,445,251,426,073,421,062,548,050,
890,551,474,559,823,958,306,038,576,041,679,047,068,959,000,115,150,522,132,
083,161,767,287,061,371,720,880,289,201,886,724,919,004,318,762,723,921,033,
283,030,687,078,425,228,318,316,713,183,125,232,596,149,982,831,250,814,459,
863,929,655,588,982,622,832,433,712,508,014,231,503,146,550,762,306,802,474,
899,659,174,872,614,183,877,696,066,526,749,250,329,282,031,932,295,985,630,
344,100,526,104,992,265,561,273,109,003,117,901,760,170,272,001,017,187,451,
939,589,813,745,344,077,537,745,334,522,197,256,845,477,862,902,940,700,536,
463,449,139,563,121,801,465,809,640,693,119,624,259,042,013,836,323,127,736,
134,608,923,466,921,158,420,758,120,445,817,040,721,529,761,006,768,500,006,
446,091,891,231,571,306,170,041,670,734,153,877,572,342,168,591,306,365,160,
279,646,794,986,004,527,710,966,295,298,466,455,534,215,150,625,017,110,134,
186,465,325,696,299,543,420,670,327,342,784,347,352,699,856,331,737,193,730,
021,464,440,555,587,846,836,638,968,814,998,099,258,034,089,630,590,766,568,
015,427,988,355,221,555,943,888,418,596,636,531,123,366,162,037,596,206,984,
304,299,421,675,879,755,949,728,240,739,651,131,987,684,975,004,602,089,588,
186,666,674,482,615,286,633,295,284,009,858,789,075,159,099,930,826,110,216,
719,839,088,414,894,147,946,075,306,231,103,050,338,509,612,536,468,586,942,
756,792,491,432,370,156,860,743,595,263,153,244,969,895,127,057,242,491,076,
889,647,201,553,670,693,295,309,746,215,587,372,683,854,738,418,285,646,093,
386,382,455,856,719,571,503,639,912,425,605,071,177,649,199,790,251,769,847,
591,936,497,827,518,512,333,714,263,614,818,717,029,888,718,605,235,050,628,
424,900,720,250,408,379,229,062,560,868,216,641,434,627,619,567,718,026,738,
397,742,583,506,715,128,820,289,824,706,101,343,505,107,386,068,728,590,449,
429,712,949,745,886,684,178,648,988,029,315,042,727,791,790,602,246,783,915,
333,728,619,374,066,665,385,467,107,813,836,695,514,656,786,505,504,580,720,
701,890,296,809,592,247,291,283,105,108,989,831,410,927,527,791,648,453,993,
822,641,915,077,592,527,736,136,086,540,931,846,129,217,485,233,888,905,027,
784,567,316,438,568,477,057,026,895,666,241,818,978,163,726,769,278,141,794,
310,692,555,503,597,061,609,016,099,786,164,404,698,838,740,836,495,097,353,
272,698,331,040,367,232,220,829,931,583,905,941,774,676,779,501,663,529,171,
040,688,590,457,640,277,930,811,499,339,270,451,872,131,139,361,068,819,796,
109,331,897,736,696,887,081,695,450,596,054,346,070,315,750,655,695,810,925,
117,829,765,549,934,966,850,256,450,784,781,800,318,523,116,476,922,507,393,
047,053,838,357,346,593,487,271,491,304,503,384,886,321,463,886,419,764,286,
451,239,778,274,316,054,588,188,303,229,271,541,960,074,054,795,084,076,224,
371,374,378,679,757,885,476,937,474,394,859,763,649,343,530,389,983,720,403,
341,029,207,422,759,598,951,047,856,462,191,820,935,057,470,056,090,787,883,
956,377,602,233,221,090,619,048,682,492,683,738,211,283,294,453,351,637,570,
175,627,398,157,304,381,159,270,972,883,273,416,568,372,347,636,376,129,971,
968,804,471,975,820,877,640,720,583,598,483,996,706,646,244,526,503,900,068,
652,039,445,989,618,114,480,014,472,309,202,552,693,302,157,177,984,524,115,
532,040,021,508,176,117,512,446,220,224,270,224,829,483,976,474,409,529,883,
682,081,688,716,947,679,080,006,010,553,517,093,837,516,072,003,793,841,171,
552,948,358,131,167,626,814,312,958,823,752,261,309,132,272,350,788,910,244,
536,220,978,451,198,971,029,091,260,568,450,113,768,409,666,971,850,095,325,
868,788,762,155,245,002,128,493,574,861,808,552,115,936,737,016,670,606,369,
556,906,982,039,556,324,536,165,622,544,684,104,073,476,296,443,782,422,820,
270,684,548,757,934,347,238,267,782,358,901,270,603,165,216,606,071,177,759,
039,036,438,222,654,257,829,807,292,628,670,757,507,448,258,304,095,124,410,
215,863,613,814,868,322,311,658,105,755,501,013,137,860,927,031,997,998,011,
798,368,629,398,030,088,345,961,176,316,217,174,933,883,070,663,600,643,044,
744,779,675,392,733,592,492,688,186,451,808,782,550,748,606,223,364,737,796,
840,884,576,568,566,173,470,610,265,390,370,514,580,612,606,429,585,586,559,
153,914,320,082,378,131,534,423,742,660,059,408,086,410,998,816,339,246,585,
316,122,905,036,344,752,382,317,314,318,340,263,972,902,998,112,744,041,918,
946,788,945,332,012,227,474,560,823,719,340,278,756,170,193,111,624,858,139,
151,905,763,446,927,325,937,433,930,575,387,995,078,949,277,429,482,911,812,
138,579,286,847,277,833,375,180,408,022,540,420,642,502,426,535,332,648,216,
642,254,928,168,561,612,793,687,149,497,003,071,635,518,579,764,531,026,474,
478,246,061,881,724,897,959,055,961,318,307,247,769,805,775,063,398,679,500,
228,374,342,169,118,100,859,706,174,457,223,155,615,604,673,478,201,016,952,
097,239,458,888,080,640,493,702,311,554,576,426,800,630,922,910,308,819,123,
243,078,401,955,950,442,219,741,328,812,776,713,480,488,957,495,387,390,705,
354,843,523,555,498,959,582,204,576,410,736,987,803,370,595,442,737,354,899,
870,749,164,289,340,410,767,384,219,503,757,560,717,855,378,473,152,186,966,
724,181,114,266,153,687,246,283,565,396,203,680,164,375,691,778,147,224,285,
046,376,109,263,927,329,998,994,417,056,107,675,084,798,312,155,150,993,960,
864,975,961,552,861,205,997,514,338,106,009,245,561,800,575,574,510,767,543,
030,343,727,684,632,892,468,493,367,869,905,522,432,216,731,441,349,285,735,
161,581,105,850,496,964,035,298,342,698,265,093,891,103,821,078,695,799,453,
868,598,817,686,366,058,808,190,424,493,652,698,124,285,471,700,395,767,927,
878,750,417,963,900,744,040,578,169,538,206,942,270,377,444,966,539,421,983,
640,244,496,117,744,160,920,946,753,158,386,846,248,576,592,802,135,718,759,
405,718,813,392,478,474,619,781,583,946,159,785,760,755,682,384,100,238,263,
670,174,958,971,096,341,365,211,633,406,500,795,888,207,370,309,493,749,279,
866,659,286,863,992,392,200,841,393,171,673,717,085,803,637,627,704,409,001,
574,368,193,416,816,725,345,842,957,385,603,943,806,961,121,286,051,450,439,
283,531,807,202,918,798,295,556,761,559,912,417,956,029,480,498,140,225,644,
103,535,193,118,860,239,818,905,316,620,961,345,615,927,841,422,049,116,562,
233,173,105,553,540,399,014,585,219,995,000,712,044,451,528,672,598,208,176,
445,736,804,660,347,442,335,882,193,759,823,490,436,865,251,892,029,556,628,
193,071,505,687,769,154,928,838,941,766,029,059,601,093,110,670,315,790,638,
870,842,618,340,648,677,811,849,121,114,861,209,545,884,315,548,172,197,200,
763,939,544,627,357,847,778,211,902,825,230,915,431,933,457,735,785,859,821,
333,649,677,804,223,459,439,251,967,876,604,344,313,563,796,489,303,628,284,
578,506,749,831,657,761,317,519,207,639,524,285,413,115,692,535,532,740,366,
766,214,367,355,945,517,174,645,016,652,343,009,940,412,316,130,251,757,981,
306,403,115,620,201,012,257,339,792,421,385,577,356,323,660,208,903,236,854,
754,970,062,343,776,770,965,391,445,469,283,595,093,706,185,494,208,072,361,
631,571,802,548,354,392,229,089,914,859,026,033,355,891,850,686,683,511,810,
875,906,522,493,491,152,585,301,769,497,922,973,634,629,994,074,115,315,623,
549,673,085,557,050,090,226,594,118,073,980,717,972,413,473,093,295,746,170,
099,752,175,184,917,561,525,461,945,333,721,474,876,495,226,070,692,990,216,
015,818,691,277,514,116,095,096,699,859,108,450,493,501,699,206,690,740,606,
564,659,223,759,048,190,655,909,033,340,436,871,770,160,153,741,562,126,540,
687,145,288,176,743,812,687,273,821,088,093,311,145,800,740,992,987,058,655,
836,990,327,419,669,908,609,855,614,121,147,086,834,746,945,479,578,126,716,
201,131,236,417,361,194,287,367,473,989,348,463,594,158,615,581,754,184,054,
836,735,462,981,098,587,973,439,034,927,543,746,979,036,961,783,366,358,317,
606,142,182,128,447,923,037,959,704,545,874,741,296,294,969,863,045,123,422,
596,060,774,980,850,116,799,490,853,221,890,542,714,878,525,331,929,902,482,
877,333,612,072,610,058,926,798,689,708,918,729,937,636,727,245,530,906,562,
268,782,949,126,403,580,786,433,447,115,367,525,432,147,065,272,373,747,632,
242,818,729,662,865,353,965,209,952,865,549,449,200,755,773,388,652,059,131,
917,677,362,756,691,017,255,285,718,139,872,793,014,429,132,494,379,643,050,
544,141,306,190,775,044,379,511,627,806,902,412,975,147,063,788,437,675,536,
712,635,997,618,501,412,738,389,357,734,596,706,674,737,767,100,820,855,926,
495,045,856,125,401,725,439,372,123,021,939,457,757,939,019,979,580,710,999,
222,180,608,297,277,308,952,754,868,390,153,150,687,314,414,087,415,886,545,
885,923,759,761,519,967,117,232,544,486,762,611,613,610,224,247,530,873,228,
053,645,752,596,592,484,473,493,474,450,897,359,499,972,932,302,130,326,604,
490,809,147,131,838,921,941,852,227,478,098,082,907,076,430,631,676,188,621,
843,770,345,935,029,648,663,167,791,576,919,320,592,276,331,985,367,256,270,
155,804,409,202,561,075,076,343,202,809,999,080,895,692,778,689,909,797,654,
039,191,016,693,740,002,617,180,265,224,787,086,982,058,500,340,947,166,776,
611,841,028,357,732,481,692,694,985,772,029,089,122,988,136,293,369,469,487,
069,802,399,894,923,496,350,276,788,827,163,198,002,243,178,774,658,579,003,
956,484,224,753,615,986,567,428,819,127,608,063,022,688,367,378,016,684,167,
934,774,010,891,165,661,047,223,559,649,215,333,739,602,552,287,649,521,343,
606,135,226,274,175,473,357,499,354,049,782,997,163,696,240,661,351,280,903,
353,987,883,844,210,107,181,839,007,754,442,451,610,843,571,922,787,142,628,
579,890,908,137,753,195,302,416,530,616,245,415,787,933,881,300,943,155,822,
940,205,595,642,196,313,369,085,387,769,387,073,729,176,715,992,693,425,176,
603,807,965,934,803,272,061,054,956,323,644,312,738,241,580,700,920,315,927,
581,241,361,021,164,645,264,509,580,499,763,521,940,180,528,832,607,786,847,
181,850,675,159,234,725,834,130,970,733,506,415,072,104,516,326,708,762,243,
074,592,681,914,871,960,659,256,529,210,576,689,304,333,191,937,925,271,564,
949,462,217,518,153,357,307,294,695,878,872,082,742,418,940,189,203,849,185,
467,183,386,785,096,318,623,032,064,167,476,330,533,799,308,884,378,524,908,
795,583,364,419,400,969,148,720,614,920,188,639,105,936,027,647,967,079,023,
722,283,594,773,502,842,846,070,548,702,079,331,826,523,752,898,100,637,638,
402,489,250,728,862,487,178,414,313,671,048,639,375,695,090,623,405,831,468,
634,687,872,070,579,180,013,843,179,741,150,953,924,784,404,722,960,469,975,
745,144,769,749,066,891,487,921,691,703,192,085,850,160,484,644,183,595,593,
037,511,030,151,347,429,634,211,313,818,383,255,963,987,055,370,102,322,889,
945,225,491,919,197,050,286,248,390,656,188,407,730,883,414,200,266,041,128,
723,851,818,672,376,330,136,899,005,789,996,663,471,834,110,794,315,250,213,
948,398,775,496,137,455,813,653,900,096,248,507,159,990,947,010,157,602,733,
251,598,984,617,545,679,285,012,702,956,662,310,568,133,967,300,106,147,837,
636,526,923,556,805,536,593,573,154,944,328,891,055,620,029,490,603,594,781,
554,575,784,742,484,432,192,693,126,392,183,928,457,979,082,288,551,359,750,
339,122,276,900,350,688,880,516,223,362,130,974,147,994,438,411,690,784,553,
442,973,085,607,791,256,497,079,636,626,810,666,427,112,561,255,033,239,432,
882,315,058,499,358,264,544,458,810,243,146,468,717,733,608,005,824,165,530,
899,921,351,949,231,233,620,919,119,575,508,058,416,701,857,290,693,090,048,
400,657,518,370,578,548,350,931,792,674,438,982,068,112,190,175,144,546,033,
473,674,334,908,080,596,633,517,504,048,167,241,792,021,032,288,435,244,469,
641,148,035,863,997,906,614,979,915,621,030,956,470,094,786,405,237,503,316,
308,434,284,721,842,526,897,348,318,803,850,534,226,655,038,078,708,878,422,
511,204,771,929,376,539,136,711,838,745,096,479,697,852,806,983,685,252,141,
432,366,496,109,921,189,311,510,416,225,191,011,136,404,842,170,352,642,973,
459,781,489,255,404,388,818,963,286,909,656,703,914,213,817,528,671,582,662,
119,593,425,677,204,364,614,380,814,386,062,977,152,243,412,803,183,197,768,
091,977,530,260,874,360,657,794,699,806,960,257,993,063,787,246,987,692,860,
734,084,762,961,089,192,655,647,940,122,636,686,483,568,891,457,691,166,984,
189,203,931,134,490,781,201,878,330,083,882,767,416,455,047,470,291,938,157,
914,686,705,986,742,299,148,570,033,104,347,074,037,275,123,221,384,208,287,
005,480,078,846,862,572,533,727,028,023,112,951,867,436,973,338,627,351,897,
083,205,836,594,256,871,316,953,058,430,188,445,077,898,332,547,777,611,880,
981,609,443,719,421,898,727,967,043,391,536,840,421,340,100,462,840,099,638,
421,134,009,479,639,214,391,344,184,017,369,024,671,273,376,837,932,732,565,
831,369,236,595,794,254,388,758,857,060,798,444,782,360,673,289,138,336,278,
267,401,870,677,087,902,145,951,044,941,244,318,303,178,792,739,077,150,769,
394,818,576,261,568,414,924,198,955,948,472,709,768,534,709,730,219,024,048,
558,273,353,624,447,318,630,141,870,285,430,518,848,033,157,258,434,989,476,
795,391,490,161,973,898,482,565,260,700,698,872,667,298,587,149,469,659,310,
612,852,134,015,583,815,331,220,497,128,073,889,736,187,056,565,040,722,655,
310,257,449,232,067,538,874,678,617,732,902,170,965,301,411,606,969,429,157,
132,995,837,575,815,605,451,161,614,275,901,844,136,451,812,431,919,265,556,
467,282,278,344,180,565,318,654,469,428,352,608,563,238,863,804,509,447,878,
593,441,265,639,729,268,226,232,773,566,002,842,447,581,788,335,377,540,559,
362,384,574,626,877,478,464,585,008,161,143,824,194,812,432,435,174,070,288,
794,660,940,896,576,412,424,158,239,194,027,228,582,367,947,119,384,690,744,
221,663,632,034,898,278,611,194,362,680,602,193,031,523,925,258,234,329,713,
208,587,870,513,924,995,072,962,647,391,617,444,284,992,682,197,581,366,291,
584,667,193,822,112,968,320,037,767,692,690,371,259,804,259,618,447,601,030,
697,468,917,910,754,283,904,026,470,346,122,873,776,336,158,748,010,549,635,
513,573,948,832,036,029,265,884,782,926,999,344,802,852,797,261,898,323,589,
776,772,034,532,226,563,867,316,649,064,626,284,548,786,120,862,749,840,399,
506,496,110,182,187,864,441,577,290,439,162,396,077,976,535,285,122,273,758,
833,748,141,876,295,085,237,591,742,279,231,018,272,260,870,648,261,984,826,
794,289,102,946,027,038,374,614,588,359,662,751,875,159,115,671,282,035,915,
183,588,061,459,306,317,251,951,937,832,401,631,931,380,523,144,320,321,628,
527,988,119,651,864,819,474,055,599,240,619,213,993,515,737,371,857,788,685,
150,481,311,249,074,638,308,368,293,905,257,599,150,505,716,484,115,658,351,
502,758,949,884,090,825,325,014,793,858,568,501,758,885,460,968,429,996,967,
666,408,103,392,743,606,966,722,856,631,400,067,453,675,098,210,764,961,115,
431,159,907,544,607,253,923,531,879,513,692,249,519,916,047,937,838,340,770,
434,939,173,318,846,317,671,189,611,411,312,014,722,458,550,027,665,159,675,
201,692,401,045,383,228,760,085,152,801,597,506,969,330,083,510,801,764,613,
599,954,574,242,615,276,723,826,368,669,391,242,973,189,935,106,069,160,702,
187,680,641,990,720,245,598,948,882,379,079,249,820,753,481,228,965,581,547,
395,247,478,030,173,417,593,757,819,837,897,272,085,705,195,767,008,021,679,
474,625,966,799,063,774,125,980,642,352,396,174,762,988,269,956,517,645,574,
733,229,413,299,681,561,504,316,851,142,045,639,492,441,259,461,623,509,579,
774,915,898,545,944,898,003,590,256,743,177,264,869,015,673,049,599,772,167,
989,994,273,861,364,920,019,442,067,149,163,388,380,972,583,740,170,031,695,
843,279,615,258,944,190,499,736,666,306,575,808,403,775,826,493,636,983,254,
431,270,178,190,481,618,274,788,902,210,031,169,378,835,308,014,670,872,119,
692,597,296,710,608,290,116,260,607,399,281,752,919,638,941,172,035,236,665,
964,264,810,820,850,261,750,407,347,334,559,781,975,225,286,808,963,009,556,
758,584,635,086,723,406,848,544,128,980,206,990,840,220,543,359,756,489,979,
720,608,482,600,558,524,269,137,623,866,026,718,953,611,929,722,370,096,352,
353,354,191,343,181,539,198,797,133,782,898,271,015,594,085,487,410,755,238,
171,318,926,623,440,915,792,368,761,168,689,577,813,749,478,638,264,245,496,
045,304,998,521,332,006,996,622,391,220,783,890,759,061,873,724,791,334,111,
928,748,734,633,438,469,436,564,390,860,165,464,381,052,497,941,396,016,085,
273,051,571,575,485,252,184,475,984,034,371,003,622,515,780,042,050,139,644,
289,214,034,204,295,190,696,219,145,464,068,559,832,243,480,302,746,507,776,
758,695,279,100,047,700,166,127,043,664,667,770,690,057,708,515,967,466,000,
048,393,819,442,411,112,749,270,747,414,339,039,891,536,200,373,137,255,829,
235,961,103,799,804,113,768,738,098,136,620,702,201,208,151,693,348,272,724,
341,522,842,733,224,816,435,188,024,705,759,116,300,271,734,299,131,541,048,
846,541,103,071,204,294,425,129,334,588,541,022,540,774,573,196,650,019,718,
671,567,386,448,795,785,592,873,571,380,094,027,154,561,299,977,220,678,223,
097,938,015,758,784,234,755,652,157,367,810,050,750,612,947,822,892,580,185,
114,512,649,131,207,194,873,317,016,173,682,257,463,757,720,671,495,623,686,
146,049,518,216,991,239,105,172,819,940,997,092,652,386,763,516,014,659,458,
666,202,934,144,350,702,840,446,744,120,811,557,404,708,345,936,169,799,747,
901,556,960,009,798,435,648,030,181,236,629,290,962,840,120,497,650,368,074,
710,629,876,526,681,406,703,375,016,554,586,786,390,534,697,960,869,140,923,
819,870,808,934,753,323,462,337,670,176,829,860,426,776,696,497,904,923,238,
342,551,335,542,766,679,753,852,672,815,291,750,345,719,321,023,795,414,868,
255,362,558,044,887,440,341,883,060,736,147,732,214,169,517,132,454,668,341,
675,702,140,750,744,828,351,705,077,398,862,079,789,677,653,086,396,255,831,
203,680,619,095,333,773,185,760,480,255,214,468,445,173,752,555,970,429,745,
606,900,286,616,025,109,386,713,227,286,403,047,502,362,985,163,196,475,630,
608,613,971,104,305,745,915,865,206,880,944,309,587,021,036,970,964,258,654,
267,498,407,964,825,054,121,474,173,472,846,781,260,952,312,894,820,516,881,
187,451,131,949,433,085,439,863,668,987,160,191,796,356,322,535,398,607,308,
762,189,961,176,197,777,632,414,853,758,036,427,599,175,074,271,923,837,619,
655,929,760,963,259,140,464,929,828,737,951,675,453,458,403,609,007,250,278,
039,446,992,459,393,212,490,064,544,790,826,192,056,981,264,161,289,827,113,
528,339,573,756,724,363,243,337,055,664,086,759,525,780,592,478,435,348,917,
073,927,624,027,618,930,594,911,025,700,928,641,428,574,128,955,582,718,434,
076,384,573,128,558,462,214,364,974,061,882,150,765,946,254,512,612,785,947,
374,233,140,968,194,165,715,398,191,285,607,821,609,840,634,182,502,370,649,
519,546,581,949,600,876,997,787,670,571,367,195,719,770,993,875,387,303,960,
133,672,110,947,677,815,576,434,873,177,150,151,427,840,206,543,759,848,793,
753,835,148,935,875,034,524,278,806,069,722,133,058,612,722,115,239,796,857,
767,475,631,780,107,430,601,795,920,335,700,760,844,039,437,386,955,969,886,
443,017,585,511,848,376,503,446,254,011,912,603,139,314,701,958,440,531,535,
206,454,643,929,352,277,255,011,232,707,241,561,256,233,580,890,405,622,541,
364,606,241,958,906,878,360,428,176,748,753,444,104,338,556,247,344,029,108,
251,646,197,114,762,734,372,832,987,101,100,881,344,494,126,251,026,323,955,
446,372,225,720,154,308,229,622,913,396,986,305,489,251,595,426,127,474,948,
349,961,766,374,356,139,993,872,651,074,715,074,517,618,879,109,887,920,897,
765,848,234,307,751,780,646,208,507,901,433,058,228,866,014,788,027,688,151,
111,398,614,812,270,314,201,372,137,252,026,203,190,381,826,773,618,052,489,
062,081,332,866,133,396,174,260,437,116,116,986,477,189,466,947,421,256,816,
243,947,843,428,697,779,581,334,139,523,033,312,684,422,044,066,753,402,907,
461,633,289,594,718,722,731,376,776,521,522,234,118,612,344,349,654,970,178,
752,795,850,100,031,607,065,240,304,715,312,283,334,161,170,682,904,649,578,
556,856,656,335,479,578,549,467,032,997,142,279,971,510,696,171,443,128,963,
596,249,042,612,475,506,930,217,063,287,342,971,532,327,982,905,549,414,164,
640,110,568,046,237,073,846,566,915,894,778,504,617,599,523,010,237,301,370,
119,514,965,589,597,850,641,224,700,186,300,012,360,484,668,374,927,015,952,
740,829,254,739,794,101,550,285,546,936,790,305,424,261,140,410,936,863,885,
998,989,994,137,768,233,055,006,370,248,017,036,894,135,094,253,866,355,385,
057,327,578,411,380,421,881,403,869,474,812,726,873,382,746,823,689,713,403,
285,972,955,839,608,286,987,940,082,903,121,753,056,549,426,805,770,739,295,
178,055,413,445,659,642,113,382,304,840,967,506,783,546,580,678,277,440,366,
739,393,386,800,723,396,473,152,850,834,454,434,978,972,377,696,951,953,097,
980,460,630,398,372,884,509,509,435,754,708,855,322,249,976,216,096,167,860,
748,737,056,752,181,439,008,270,731,507,273,780,449,292,324,558,470,009,986,
116,336,084,595,766,318,697,051,426,309,100,991,989,652,253,505,351,709,907,
262,044,708,873,138,642,725,638,403,040,323,320,356,318,438,802,393,668,234,
851,176,392,280,186,021,425,201,698,780,736,018,925,087,863,886,904,619,066,
030,352,559,964,476,567,498,422,234,842,240,695,348,526,969,710,715,076,018,
922,514,590,350,972,951,434,057,310,461,877,686,216,938,367,595,755,907,361,
780,045,122,526,684,628,007,902,699,622,113,981,879,111,348,543,246,489,663,
385,603,623,949,871,631,452,022,617,983,090,580,773,078,425,858,760,353,960,
028,725,101,340,399,764,726,662,673,212,396,507,746,034,968,516,172,487,046,
459,472,739,418,402,242,402,427,327,879,761,799,551,260,278,661,247,718,944,
265,633,812,005,285,151,159,946,071,545,853,541,870,098,425,930,607,322,769,
755,493,797,456,954,381,891,414,930,767,274,180,964,887,559,838,128,965,223,
852,754,338,686,798,459,768,362,094,801,090,901,766,480,924,276,162,257,816,
842,824,785,071,651,419,419,492,160,702,081,433,251,708,013,515,740,045,442,
809,784,540,287,682,537,830,350,026,444,541,372,405,004,085,349,818,569,035,
442,907,517,950,705,038,502,331,965,158,169,472,062,693,291,280,981,728,403,
302,725,896,631,853,138,722,589,301,452,217,051,815,229,145,681,616,081,028,
787,142,311,807,124,410,006,009,366,137,075,974,539,854,323,849,138,242,932,
776,408,190,068,578,798,122,791,043,282,158,637,497,894,789,168,621,536,604,
875,018,946,819,752,842,014,241,306,173,309,757,864,484,515,335,381,760,411,
263,015,683,336,109,566,160,041,441,910,185,220,682,456,481,276,968,406,838,
229,349,246,992,234,543,069,572,041,793,010,845,281,287,829,435,487,913,199,
189,996,620,386,385,945,852,307,760,555,572,118,230,878,497,822,645,704,213,
420,325,133,690,423,664,689,925,915,741,492,527,330,495,531,101,806,566,320,
066,659,443,919,322,775,284,892,985,002,123,777,795,775,825,185,552,807,093,
359,225,634,145,266,899,870,368,104,519,538,437,784,354,488,181,981,209,145,
258,839,941,657,243,308,508,744,850,878,201,784,508,374,621,403,680,680,550,
423,649,792,599,552,346,563,183,955,579,926,331,621,261,866,547,374,626,284,
257,580,269,557,384,337,191,717,493,547,757,608,254,100,535,156,235,681,939,
510,238,609,709,199,382,662,868,477,973,457,047,488,710,602,301,079,207,345,
698,135,210,251,180,311,086,029,420,717,293,142,310,825,039,161,823,262,312,
884,295,571,530,343,792,084,464,249,215,126,209,399,468,981,148,381,450,682,
974,963,694,268,386,356,657,489,079,244,447,986,700,620,589,512,858,884,683,
636,746,631,377,425,875,739,151,473,437,534,945,781,604,844,918,704,079,039,
889,159,199,924,689,907,162,682,984,842,261,094,801,186,311,964,461,183,829,
650,599,778,839,509,958,617,734,130,944,331,144,409,219,655,444,598,144,251,
374,921,287,660,005,760,583,080,253,137,924,786,708,647,722,985,279,690,299,
250,722,466,397,869,438,800,402,235,306,761,877,011,177,850,030,267,391,180,
941,213,301,111,832,898,530,000,537,500,987,530,805,454,431,567,533,174,498,
886,244,095,746,636,589,673,315,474,372,973,671,205,991,702,898,172,917,661,
344,311,251,527,393,857,584,759,564,634,581,882,506,481,135,704,887,862,991,
227,635,120,088,975,685,107,427,343,657,116,355,297,298,301,004,820,721,569,
964,024,511,327,694,054,249,353,985,006,069,100,052,349,257,756,437,185,960,
667,756,029,078,580,202,961,489,381,510,368,593,335,196,262,698,571,037,843,
724,853,502,350,001,021,756,002,372,018,580,047,136,205,730,778,613,637,840,
431,726,782,881,127,000,638,021,844,285,140,482,708,351,207,116,790,431,344,
422,168,652,773,588,086,755,854,097,819,764,478,158,989,137,295,724,684,453,
921,667,100,476,536,667,771,298,685,644,709,501,087,667,788,817,754,390,323,
189,184,773,531,455,568,394,569,991,089,009,373,745,395,776,083,986,413,086,
522,362,532,605,255,491,145,220,637,859,453,989,413,508,060,092,640,288,859,
672,389,117,123,919,471,336,117,590,664,521,386,232,972,249,008,673,066,454,
000,882,220,592,709,976,108,704,990,144,064,188,414,486,793,009,370,963,794,
353,159,540,710,075,385,463,574,607,133,214,417,915,705,563,060,900,505,736,
920,572,409,061,981,308,230,521,631,333,237,970,465,481,861,157,914,069,270,
068,758,036,999,789,860,572,923,638,769,453,967,570,173,758,403,945,859,208,
919,528,023,395,045,173,385,807,100,067,216,123,010,664,550,092,470,240,013,
136,005,282,157,616,409,622,232,243,807,774,744,409,121,949,417,881,898,099,
643,722,380,794,435,610,577,181,740,450,168,444,626,401,892,195,693,904,841,
565,911,246,324,121,215,652,787,237,738,686,226,111,224,008,444,422,700,225,
898,287,090,528,150,790,140,508,229,909,369,859,808,031,119,203,252,154,600,
376,468,200,137,997,031,529,322,884,312,056,381,546,269,861,679,186,064,772,
625,438,776,528,550,860,293,697,237,167,196,833,934,296,276,091,035,554,609,
535,339,684,746,525,064,715,996,712,542,095,666,909,522,730,891,967,047,441,
472,681,007,718,575,428,946,566,266,585,353,304,128,658,618,213,172,994,955,
178,098,594,640,012,200,927,806,504,118,239,031,231,205,168,313,801,707,469,
768,751,136,469,452,381,010,038,731,885,869,040,251,097,665,130,767,109,789,
328,743,448,597,213,583,229,233,534,116,205,901,448,602,005,917,883,692,695,
261,583,319,356,036,757,527,676,712,406,305,239,844,297,259,906,578,507,388,
409,648,209,152,629,639,501,689,194,298,284,114,226,304,226,312,350,909,261,
971,956,942,748,425,304,587,034,227,960,578,921,788,763,734,179,988,512,382,
121,710,408,994,425,074,649,654,836,560,311,132,100,372,270,460,308,821,840,
425,770,232,056,685,809,358,322,420,054,817,141,140,741,072,757,410,789,771,
940,359,845,027,424,784,450,387,729,281,977,385,426,996,388,578,362,470,434,
944,470,875,741,081,295,459,184,296,473,035,418,767,195,431,391,574,727,910,
462,002,277,274,949,114,330,962,352,149,772,768,944,964,654,665,097,025,703,
472,015,354,182,674,655,690,798,987,894,502,859,820,001,342,064,409,266,459,
790,080,460,943,138,581,551,348,592,626,353,731,849,790,619,756,967,040,135,
316,298,778,689,009,692,321,895,331,866,013,804,463,309,696,860,832,433,554,
667,324,397,667,446,702,783,179,953,371,701,042,071,559,266,879,505,013,498,
856,541,093,224,601,569,583,003,134,627,750,540,277,235,401,534,867,589,476,
280,393,882,892,347,167,198,636,290,752,631,609,481,863,646,370,554,722,606,
464,325,777,599,081,537,772,957,674,106,746,496,832,228,212,165,955,365,572,
218,611,698,364,100,200,440,505,803,299,398,607,975,416,004,475,831,628,736,
109,440,168,982,522,909,109,077,779,434,992,492,402,060,761,480,297,905,543,
404,320,126,830,552,679,423,369,546,038,969,142,904,234,892,261,856,658,992,
168,543,862,943,168,907,320,569,069,989,484,235,716,072,498,060,380,881,319,
891,215,263,942,972,825,861,820,950,005,177,408,057,084,056,658,207,593,447,
556,179,479,624,083,334,351,784,361,930,910,350,146,150,045,133,515,485,558,
909,504,097,721,253,750,535,162,636,687,570,256,970,946,203,837,466,374,230,
615,318,946,291,636,728,331,891,498,250,010,842,455,116,307,591,528,580,809,
672,660,071,723,024,300,873,032,550,030,120,231,779,859,393,537,753,689,300,
053,396,481,215,940,564,156,494,178,471,376,484,961,189,712,206,870,419,077,
822,888,469,592,845,859,580,245,917,625,248,741,821,346,413,941,143,590,596,
423,076,314,265,716,485,953,176,465,459,913,401,103,209,123,898,517,489,910,
271,507,442,579,559,210,371,872,781,414,191,845,131,496,737,115,793,026,977,
477,660,197,413,941,363,619,351,789,926,403,686,709,350,137,249,122,913,751,
797,313,220,593,655,895,648,843,841,353,902,030,226,146,397,576,098,073,158,
059,394,779,531,836,022,832,099,567,888,750,475,784,062,702,756,869,167,384,
997,761,249,197,010,286,373,204,800,941,726,668,851,605,187,487,000,804,374,
257,758,719,858,514,288,062,819,425,901,787,964,511,354,419,796,441,445,720,
268,978,482,464,370,509,737,201,448,186,326,062,750,792,383,079,583,245,367,
598,896,399,154,713,639,695,551,875,466,383,203,501,054,497,973,626,832,269,
006,910,131,467,452,752,956,646,846,742,691,824,239,184,909,110,686,341,027,
648,548,542,248,406,263,619,004,758,943,177,239,301,270,986,780,412,419,627,
847,616,061,261,546,889,648,276,787,291,578,987,433,028,302,179,600,307,525,
923,339,266,954,081,583,639,012,461,861,104,791,120,530,826,455,676,870,283,
642,636,630,024,645,807,574,373,834,485,591,863,748,305,406,837,063,286,848,
963,244,160,574,309,979,573,186,173,836,393,420,611,437,028,184,361,825,179,
142,061,227,037,799,649,758,956,922,195,911,176,339,193,605,792,240,437,301,
784,210,594,990,653,134,952,973,144,516,978,976,196,161,371,600,913,571,942,
283,860,746,192,747,389,712,376,230,657,637,841,099,658,941,747,235,977,720,
210,050,673,543,428,548,784,302,304,149,736,399,649,426,763,102,528,508,939,
534,918,503,727,722,608,910,064,362,225,712,649,807,546,528,194,758,990,205,
673,127,102,767,357,811,493,750,472,351,363,537,625,799,790,550,668,200,518,
570,213,998,170,296,726,891,738,180,013,114,998,948,296,468,455,857,257,104,
629,870,783,675,450,742,815,363,661,139,087,857,712,460,897,630,130,505,546,
615,075,793,002,810,119,717,015,871,634,461,949,284,106,089,910,419,783,827,
316,461,175,134,406,155,122,151,717,526,521,842,731,086,257,254,387,147,535,
186,407,905,902,229,100,837,168,852,214,414,311,357,687,703,074,587,415,167,
348,041,525,279,857,701,521,725,102,373,017,776,299,401,280,199,013,988,370,
009,505,105,916,206,021,560,443,763,286,028,855,129,553,384,999,468,765,085,
867,004,235,857,767,404,681,801,359,494,740,661,343,213,724,855,682,653,725,
224,130,734,953,570,658,316,574,044,339,530,343,683,024,057,876,284,260,337,
499,179,828,896,554,709,636,153,727,441,276,602,964,955,231,464,599,193,418,
897,978,236,945,587,020,933,739,266,142,616,419,991,039,058,094,395,565,759,
428,253,054,497,638,264,266,623,201,937,491,351,310,230,619,326,967,700,188,
767,397,334,449,152,356,174,059,071,479,835,937,149,419,959,083,329,664,605,
764,772,878,789,383,064,956,613,919,885,613,245,255,921,756,244,389,537,970,
009,334,865,282,819,032,815,797,983,147,373,334,075,218,323,208,510,639,803,
205,505,958,437,521,516,168,845,341,889,704,224,925,729,416,710,788,899,592,
596,241,604,366,679,346,106,973,977,379,338,418,647,280,304,300,718,733,724,
154,666,929,230,789,416,877,283,478,532,802,573,456,586,813,865,516,348,909,
530,091,810,345,016,158,831,507,288,278,102,208,923,003,639,805,653,578,955,
074,472,232,290,008,283,933,305,943,567,799,206,393,667,537,725,292,988,810,
416,727,664,872,861,357,057,414,750,023,571,112,653,963,761,965,277,934,293,
677,717,748,189,487,220,877,479,386,959,541,228,238,130,202,656,916,660,377,
434,108,248,903,267,204,750,790,174,229,916,528,963,776,404,492,780,429,256,
333,183,165,997,697,393,199,663,338,198,880,094,375,978,247,425,536,898,424,
295,683,425,888,519,235,018,867,237,992,586,458,984,986,175,191,571,092,869,
613,154,279,839,879,119,227,165,851,771,521,080,617,109,590,553,294,990,868,
223,568,468,735,163,169,310,017,192,621,172,465,578,221,145,768,864,817,053,
825,295,007,880,334,806,909,392,147,020,730,739,648,793,256,172,440,578,231,
782,815,950,809,150,960,575,490,087,790,693,976,971,739,390,199,988,100,444,
137,430,262,412,102,412,609,710,512,606,865,632,498,166,922,370,441,609,974,
489,193,275,380,356,770,393,559,320,256,288,810,589,014,958,510,429,396,637,
832,491,560,275,314,400,862,675,258,858,541,694,356,220,218,073,840,278,825,
384,685,026,424,108,284,372,867,167,597,173,646,219,211,265,851,086,836,994,
240,178,629,678,188,211,203,435,273,527,333,055,958,028,797,659,321,719,332,
520,821,169,308,146,745,215,451,108,225,110,904,440,081,819,865,226,124,135,
196,035,373,738,690,070,337,142,276,377,388,469,335,382,692,379,216,327,444,
703,221,320,968,300,484,357,190,604,461,473,907,319,830,584,548,547,913,835,
497,119,847,961,814,664,787,930,213,601,505,550,990,114,270,011,307,124,312,
646,705,922,183,908,531,028,539,655,715,082,412,239,702,926,052,897,186,978,
201,207,686,014,536,708,765,633,079,765,877,660,853,349,856,680,889,526,643,
921,796,375,294,482,330,742,057,844,497,407,219,613,221,353,918,791,848,067,
090,180,543,877,488,145,770,654,869,798,057,396,928,079,001,874,926,338,957,
203,334,644,158,108,653,492,106,422,542,008,063,014,791,424,377,430,287,377,
402,149,904,901,984,627,446,985,146,462,010,445,424,301,675,492,917,501,321,
537,916,432,900,327,276,180,609,114,343,959,594,734,195,379,328,737,419,186,
988,360,715,982,091,306,443,489,870,798,972,449,463,215,318,762,505,234,647,
063,303,945,368,641,412,412,916,184,550,634,258,182,395,501,120,108,164,965,
568,792,285,696,011,833,289,546,410,751,291,321,800,783,873,901,647,413,958,
680,987,953,530,876,006,103,552,170,752,102,965,376,542,072,581,716,348,876,
940,650,368,496,284,694,913,968,831,482,345,752,504,632,984,804,264,415,533,
394,589,276,473,983,401,632,847,626,343,091,364,860,854,114,501,248,143,220,
131,517,444,409,955,499,739,572,243,748,125,170,178,022,988,288,107,639,963,
333,478,132,065,916,137,738,261,100,235,702,546,465,876,733,006,526,933,662,
018,740,830,251,330,829,474,669,819,147,268,215,811,806,814,988,616,668,452,
457,519,641,010,490,816,969,366,722,402,567,396,552,433,518,451,177,280,817,
480,266,283,106,921,413,564,059,030,888,740,330,167,597,071,358,372,705,645,
353,555,077,009,031,457,551,599,713,006,053,827,206,449,048,547,262,574,498,
487,957,264,717,742,816,122,706,825,977,310,612,681,219,501,885,360,870,060,
654,097,029,844,956,640,548,626,522,644,780,655,779,802,846,965,626,025,405,
225,687,189,486,189,286,939,925,892,828,498,251,930,977,890,028,433,006,923,
333,899,677,927,742,462,887,243,665,078,201,752,992,852,004,371,395,061,607,
566,866,671,590,903,294,385,261,167,999,860,813,678,418,652,238,288,191,045,
950,146,512,390,089,074,374,324,662,976,940,153,165,556,989,458,624,417,051,
247,826,184,723,426,663,970,342,852,405,227,812,870,643,847,918,889,123,962,
823,751,044,958,637,949,837,244,948,967,126,967,629,500,869,774,250,452,713,
130,642,746,851,357,510,751,187,510,924,696,453,441,616,783,433,999,976,700,
707,991,497,196,111,503,847,204,030,802,030,560,079,949,074,615,909,958,041,
645,864,504,845,423,868,817,755,925,164,187,703,041,265,685,924,461,887,737,
490,623,670,784,357,432,493,333,289,676,158,406,964,402,848,091,386,160,992,
325,485,422,121,482,790,386,806,015,135,018,196,869,875,968,033,525,424,931,
771,810,080,212,094,143,348,262,444,445,160,134,246,728,360,364,026,318,026,
905,576,382,669,511,190,115,780,040,809,160,559,876,380,066,018,769,381,368,
952,566,578,949,851,762,772,565,627,263,264,385,570,096,673,469,969,902,257,
284,266,762,352,783,204,805,593,124,434,382,288,653,628,965,199,231,214,163,
171,648,213,116,181,178,718,880,504,366,044,804,052,861,062,288,946,001,093,
449,472,461,426,464,219,962,236,882,629,739,740,289,470,460,834,659,282,399,
903,369,413,523,915,491,278,155,160,174,240,582,512,750,260,693,147,660,063,
567,998,322,942,281,113,961,573,315,496,342,210,109,226,323,622,357,614,357,
514,722,385,017,487,234,038,767,165,089,150,986,071,929,417,045,224,440,433,
171,590,096,886,061,041,963,449,663,483,509,712,772,788,616,651,215,502,345,
957,478,614,499,465,490,730,252,070,279,759,659,758,971,488,610,595,089,278,
293,678,487,420,055,425,809,382,219,989,145,019,076,742,677,490,672,393,696,
603,981,485,170,891,590,511,398,585,238,287,883,578,831,501,681,799,190,380,
428,165,102,848,966,046,255,065,701,422,938,112,380,168,403,668,883,441,256,
599,322,259,446,642,621,468,552,487,664,198,045,717,735,464,639,196,704,374,
483,072,255,805,833,835,474,571,975,570,724,658,181,970,823,002,472,063,177,
002,113,005,333,696,473,163,039,638,940,208,590,960,724,109,650,486,676,005,
503,305,835,561,670,957,147,897,409,861,567,443,574,488,519,680,319,235,554,
448,540,169,075,284,764,136,827,952,616,004,338,650,789,619,583,485,373,737,
003,986,211,841,964,696,406,012,619,142,975,617,912,923,482,030,842,163,528,
936,809,025,318,410,392,596,710,876,435,369,416,156,463,471,361,677,724,517,
467,156,658,848,906,583,032,346,367,299,788,590,857,802,129,328,638,345,368,
713,957,449,203,687,359,569,395,596,625,727,531,183,799,748,117,701,822,786,
583,998,204,303,387,232,250,383,306,221,171,508,882,094,938,239,320,022,397,
921,922,233,804,330,406,461,379,347,247,807,852,606,361,799,406,201,500,349,
208,747,826,183,077,637,052,895,339,229,359,162,319,506,579,020,868,604,061,
912,093,221,709,678,928,436,717,729,861,566,434,178,721,095,138,309,111,244,
910,765,353,179,009,429,840,757,205,412,576,060,702,760,858,831,897,580,243,
031,366,720,247,621,350,562,192,280,549,012,309,026,278,973,871,905,242,553,
921,494,063,766,534,722,509,342,765,400,743,262,593,149,700,706,769,652,231,
465,336,894,232,859,519,581,809,759,805,587,061,728,263,499,060,000,545,109,
102,181,832,341,243,506,406,288,331,165,625,057,748,760,585,752,657,871,534,
722,186,542,765,325,767,988,602,596,392,339,354,775,620,145,702,536,926,518,
909,067,963,845,530,513,429,282,862,401,415,781,245,733,596,611,716,346,741,
321,979,308,686,962,312,040,171,731,372,359,194,726,650,271,242,510,756,997,
494,539,158,199,820,759,238,142,901,370,723,681,633,853,195,447,554,047,533,
657,218,908,064,992,104,697,472,607,192,297,618,827,756,871,070,891,321,787,
147,237,156,367,227,412,409,357,201,135,769,585,725,376,527,638,679,741,120,
718,434,317,010,732,692,910,835,265,200,943,394,315,219,109,684,651,041,800,
378,262,534,635,427,426,431,811,283,531,054,772,247,380,660,682,567,290,949,
722,711,985,247,985,942,374,557,255,504,275,182,868,318,936,530,937,212,238,
167,705,016,949,927,403,818,526,148,983,150,460,644,386,731,327,143,615,601,
821,669,779,997,825,696,749,154,385,750,024,526,606,905,379,167,346,910,900,
691,707,043,507,279,184,159,807,883,845,440,741,874,675,159,282,403,891,888,
055,488,023,523,150,718,657,872,767,367,519,502,691,780,262,477,557,080,139,
191,218,341,376,716,772,787,728,962,472,198,810,316,073,898,657,248,323,436,
049,112,975,427,501,281,201,120,553,090,327,413,676,141,634,693,626,784,869,
487,658,790,852,629,390,481,061,299,152,309,543,574,320,606,470,952,180,648,
514,698,373,674,817,726,534,646,104,982,425,818,019,782,682,085,293,445,779,
417,497,561,246,066,864,645,382,286,621,261,059,578,379,656,715,002,712,136,
136,792,023,398,986,815,427,778,743,951,853,474,989,428,180,498,697,071,809,
303,184,584,261,645,101,662,281,144,969,747,387,063,296,926,635,907,454,038,
842,752,182,467,075,343,749,479,721,783,097,844,619,990,323,182,465,573,469,
171,591,660,264,851,232,666,814,383,985,299,611,157,655,532,829,804,820,717,
112,217,823,732,474,853,891,900,006,951,146,784,478,494,850,738,784,701,822,
007,641,322,503,353,607,997,019,805,991,143,509,361,921,859,645,389,082,897,
350,094,503,834,065,606,146,594,499,845,240,052,498,953,503,339,461,932,744,
565,239,264,436,578,821,538,207,407,590,940,471,855,897,821,554,074,606,039,
524,693,479,017,407,741,780,823,653,595,961,407,959,881,906,430,937,733,650,
030,192,601,868,666,844,386,820,403,127,988,752,225,081,647,236,383,051,840,
158,516,396,361,574,746,143,173,700,064,661,982,340,534,834,614,670,478,233,
433,602,956,813,866,220,740,620,746,034,997,130,226,318,765,688,578,573,515,
832,722,375,509,097,162,203,341,090,893,422,835,803,133,634,263,177,299,525,
250,829,343,625,824,198,881,500,007,000,978,281,162,785,919,248,527,523,215,
170,945,730,385,678,456,736,606,689,264,293,833,220,675,894,569,977,352,809,
740,717,268,372,297,443,893,602,358,398,319,202,329,776,118,213,788,894,448,
946,000,552,229,680,909,237,726,079,800,975,337,624,318,940,549,789,053,775,
365,629,841,915,013,615,548,614,615,699,433,038,118,997,727,190,798,300,327,
357,155,707,093,203,238,397,518,483,797,680,525,361,859,401,208,646,115,958,
578,776,517,837,391,528,236,866,854,701,985,362,668,673,358,868,939,432,571,
945,467,335,260,922,355,058,265,845,006,933,247,161,933,055,855,975,079,972,
807,476,295,055,142,908,631,954,427,168,967,177,703,062,370,593,114,157,117,
405,114,964,741,450,181,022,269,254,596,082,474,044,552,706,243,355,913,044,
854,445,180,810,651,815,139,084,788,676,077,658,800,730,696,393,016,924,068,
805,224,252,574,110,352,544,232,859,942,553,003,795,363,669,040,305,660,035,
364,951,427,920,348,780,527,572,969,358,749,301,615,820,487,675,313,656,083,
338,213,890,207,963,329,450,345,933,227,783,148,719,979,425,629,968,332,155,
362,393,065,800,686,312,614,210,250,435,737,947,400,732,121,406,658,998,466,
658,923,985,075,223,434,491,982,954,238,741,699,992,168,206,961,431,061,182,
297,550,803,089,706,896,631,569,979,149,012,487,468,242,845,386,282,072,782,
527,262,561,122,877,523,496,470,843,439,932,492,915,626,720,911,782,506,227,
026,344,978,414,022,056,635,297,746,349,408,949,222,797,387,396,397,604,550,
267,893,517,177,466,446,041,002,925,423,348,548,069,855,501,717,936,033,615,
444,141,229,584,729,736,613,982,144,069,933,377,039,351,975,847,396,094,898,
405,932,125,247,844,416,453,789,822,561,416,708,950,883,742,238,376,731,099,
863,022,910,701,518,565,040,260,937,447,532,120,224,252,691,380,614,497,293,
641,940,145,333,414,200,357,449,806,871,177,570,526,259,187,345,165,335,140,
118,710,945,937,277,153,383,961,155,498,589,799,824,894,250,021,524,546,625,
879,683,826,442,882,586,741,184,595,862,915,750,816,426,089,087,836,351,939,
734,241,202,954,083,302,930,837,111,434,621,309,172,566,798,666,552,865,933,
063,492,237,658,236,195,998,100,039,521,663,345,617,138,879,820,993,737,350,
151,098,433,962,038,147,123,217,340,968,930,297,536,779,826,956,345,331,183,
818,568,492,081,674,487,266,510,044,525,162,638,017,871,841,401,346,535,701,
960,246,122,999,713,701,792,753,940,220,501,939,377,929,790,776,878,778,562,
290,821,373,136,912,696,705,010,745,577,621,154,929,329,361,080,451,302,398,
525,015,609,948,800,997,493,267,670,318,134,530,589,661,428,808,472,744,821,
382,367,223,298,920,803,618,420,780,321,094,604,403,631,313,181,969,060,655,
849,004,674,147,186,586,139,106,881,083,327,529,965,594,106,115,504,766,657,
523,155,864,969,337,073,627,594,021,757,578,948,219,884,024,896,327,732,629,
900,272,719,640,709,201,701,259,696,270,954,948,746,439,444,972,533,539,268,
909,698,237,070,632,835,656,512,247,889,588,500,911,263,950,606,512,628,224,
750,294,949,033,618,231,269,263,007,686,372,799,213,729,244,904,145,206,706,
534,244,660,600,825,770,759,426,353,721,682,145,861,963,289,892,541,697,045,
759,291,415,277,701,151,104,858,163,276,495,690,869,895,536,016,924,434,682,
281,940,692,695,459,684,110,470,440,814,645,142,102,132,138,041,820,426,671,
295,453,163,015,542,757,087,069,013,955,311,337,991,095,631,624,581,300,911,
432,064,142,261,568,151,622,689,370,519,250,824,518,243,481,792,666,501,247,
519,253,959,494,930,052,383,094,805,794,636,851,795,465,520,888,668,226,679,
954,205,457,063,232,844,937,957,732,837,326,529,846,512,922,856,707,498,436,
635,732,769,680,664,668,658,366,331,507,420,305,413,020,197,410,278,653,871,
807,002,928,476,415,598,355,453,184,612,071,998,890,407,652,647,629,743,739,
064,589,355,919,120,936,168,755,117,357,567,965,180,553,982,051,192,030,637,
938,484,430,241,749,419,318,415,375,493,242,617,136,253,457,108,318,321,698,
052,788,664,430,675,492,818,663,533,783,390,280,979,838,965,600,839,368,121,
342,590,859,049,929,873,852,230,295,555,628,212,857,549,840,619,055,232,403,
149,360,658,646,707,553,071,833,377,301,646,459,921,601,703,576,213,729,996,
747,996,123,495,174,077,078,423,356,825,190,531,580,787,901,326,172,593,307,
032,629,872,611,194,423,462,158,407,692,153,510,528,457,630,107,322,479,267,
935,289,528,481,614,783,683,132,756,229,459,861,719,115,125,681,195,152,954,
745,490,147,971,519,249,284,860,579,869,988,441,564,420,919,713,162,894,406,
222,233,351,897,347,039,671,032,698,261,951,304,740,318,988,287,377,594,071,
253,207,934,284,481,851,300,344,698,757,636,744,549,459,438,166,387,160,794,
644,777,166,936,345,638,599,597,889,910,820,790,919,729,746,425,312,506,735,
099,460,321,764,060,931,757,767,632,090,583,753,672,051,368,369,810,268,383,
631,341,229,787,348,555,758,370,439,418,641,042,506,645,679,991,770,213,426,
869,856,241,943,729,742,824,975,601,887,147,838,970,588,300,349,097,954,885,
481,503,867,325,847,138,259,776,279,987,664,809,680,448,794,090,463,579,436,
251,546,385,617,879,364,539,288,966,829,014,728,686,547,743,832,591,430,510,
478,811,841,579,592,642,302,564,472,986,757,289,227,215,240,194,901,491,524,
652,066,531,600,537,066,467,423,246,134,833,427,242,693,263,117,608,027,835,
255,183,698,998,629,459,475,459,180,603,836,197,447,996,106,849,033,249,173,
519,657,286,825,154,279,907,755,760,072,603,538,663,085,869,023,143,847,466,
632,016,984,605,785,326,179,419,940,138,232,305,723,232,030,819,419,437,985,
188,101,484,662,711,674,491,662,564,275,327,769,293,370,695,189,159,203,503,
102,372,607,506,211,483,970,489,122,951,232,793,428,015,497,540,896,682,934,
382,678,649,350,496,162,343,933,976,514,926,274,181,419,959,742,851,823,156,
193,552,255,882,394,256,129,723,666,171,881,818,386,861,825,641,399,312,191,
590,697,071,912,596,002,020,542,169,354,324,811,143,839,781,112,394,031,271,
184,905,176,264,486,888,572,371,125,661,150,510,758,845,314,460,836,523,256,
332,987,604,188,697,897,653,571,368,307,444,883,378,365,376,355,427,030,900,
344,401,703,007,091,533,864,448,868,859,312,639,170,045,313,285,965,642,397,
577,879,247,555,380,767,716,423,993,430,131,525,304,301,590,401,542,874,434,
106,139,177,622,323,943,540,982,952,498,238,329,680,092,489,120,604,788,180,
470,727,368,704,359,978,229,904,185,087,061,482,365,554,710,790,434,842,362,
220,302,099,302,982,197,248,149,434,346,899,486,563,565,768,359,142,294,741,
319,787,576,186,424,098,950,943,864,224,005,076,017,454,705,566,227,481,345,
587,553,515,487,675,476,762,983,330,182,158,906,213,706,947,764,925,913,787,
734,532,006,769,140,452,147,221,556,631,488,124,844,659,431,285,186,052,532,
793,904,567,033,996,057,765,695,401,202,976,569,434,655,157,527,280,738,491,
804,312,631,808,480,535,012,876,335,796,114,485,532,571,255,099,509,157,113,
745,321,339,635,979,720,948,221,381,771,390,000,307,625,855,499,054,655,410,
030,355,997,617,865,998,981,526,314,579,058,046,407,740,426,633,797,968,026,
410,276,552,431,035,858,234,149,122,093,787,639,125,498,265,607,355,866,848,
736,585,427,880,064,635,803,568,660,192,798,280,555,641,808,151,029,302,150,
888,570,623,587,489,096,949,950,757,240,780,354,746,369,240,561,654,400,926,
315,423,286,590,199,282,027,739,579,160,576,735,672,518,050,070,664,690,413,
667,652,515,529,270,522,505,854,389,432,694,674,484,838,348,505,737,507,517,
371,063,886,532,884,856,986,653,271,288,200,611,295,043,759,589,540,751,761,
427,309,970,623,442,205,328,907,538,978,558,616,565,448,590,640,104,816,393,
283,010,358,375,268,208,701,082,479,176,428,870,840,526,081,988,552,726,234,
659,467,364,446,631,336,249,987,879,710,782,899,769,988,712,973,262,336,422,
635,147,181,389,387,451,456,979,779,166,412,526,661,527,592,180,631,512,351,
631,124,701,868,830,069,345,150,551,857,741,676,822,660,742,665,441,248,919,
832,509,450,185,199,386,172,837,521,365,831,238,043,544,982,565,839,900,011,
164,623,095,755,680,871,895,782,808,758,134,412,294,576,911,094,246,550,712,
140,367,543,286,275,959,668,029,790,081,089,376,776,863,217,781,250,955,223,
226,302,092,578,672,315,881,772,761,489,483,646,803,564,941,200,522,439,538,
140,747,479,979,062,998,639,174,852,982,301,675,877,368,953,725,543,489,747,
222,787,360,205,483,392,427,573,645,090,684,179,744,904,078,016,174,821,172,
300,539,009,840,411,840,286,014,287,287,180,097,938,301,099,574,687,265,023,
381,924,212,527,158,740,524,058,842,263,109,280,075,412,545,388,726,865,336,
197,701,845,739,043,704,912,061,455,009,338,721,761,992,924,887,366,180,304,
763,295,635,430,022,135,336,632,116,715,810,846,124,451,181,982,029,000,678,
887,320,441,426,198,515,163,373,114,062,708,127,289,909,157,550,492,882,351,
005,794,088,522,504,619,794,349,020,798,744,988,416,705,120,569,041,470,991,
275,735,237,723,450,210,021,251,909,712,134,539,397,441,742,755,300,632,126,
474,064,168,731,108,855,135,147,005,524,671,647,068,776,574,462,836,003,930,
052,228,005,112,868,243,229,281,910,843,091,292,758,485,230,430,283,779,496,
648,380,195,419,346,983,622,130,587,468,125,200,096,912,232,865,168,352,405,
480,010,293,809,608,241,594,010,368,579,207,281,251,943,158,284,860,687,520,
136,179,931,950,583,068,114,503,878,066,435,849,742,198,256,941,445,615,504,
062,807,464,228,611,172,883,777,566,482,784,750,554,735,842,143,474,326,179,
826,035,950,704,795,652,621,888,099,558,580,081,845,320,886,207,939,831,732,
179,154,344,884,096,318,520,721,729,525,414,665,505,056,590,070,064,062,435,
065,530,282,938,684,268,129,594,552,245,151,895,498,968,273,688,435,468,069,
914,437,710,170,254,601,582,221,946,640,271,465,204,584,363,984,763,417,797,
412,849,466,032,048,951,212,387,465,406,729,179,132,595,475,078,525,908,335,
502,471,732,880,431,736,175,813,767,720,773,610,576,759,597,142,619,351,979,
392,584,634,138,051,864,744,819,582,821,478,750,973,077,001,128,174,241,408,
807,242,534,280,660,187,925,380,561,236,333,563,639,212,390,151,075,235,797,
850,915,130,590,097,550,070,333,914,325,296,817,231,566,804,409,291,937,224,
183,424,966,510,590,688,607,553,644,195,027,787,020,664,826,334,646,280,029,
233,090,783,002,412,609,641,194,240,503,333,034,168,473,859,638,336,943,007,
980,136,118,983,309,800,644,258,446,222,515,660,794,378,284,892,958,787,024,
244,947,731,073,099,857,884,596,393,701,583,475,257,189,848,040,873,733,564,
710,925,117,072,757,543,470,130,105,169,975,770,125,195,857,986,927,856,935,
851,182,103,290,803,640,528,458,062,640,026,304,759,627,860,386,046,885,118,
200,765,566,665,545,917,160,224,133,790,722,516,800,094,531,197,060,389,072,
525,312,120,963,445,802,479,299,808,973,444,957,367,812,846,290,646,644,242,
668,744,040,686,425,596,643,938,942,581,511,397,882,804,211,029,826,062,976,
480,507,962,550,830,226,252,125,954,653,100,115,455,163,221,116,178,997,710,
545,929,964,694,050,066,886,677,339,767,055,858,972,881,932,949,658,796,606,
521,335,250,389,406,798,932,695,964,205,828,388,594,455,530,494,842,868,377,
635,504,710,965,749,444,798,314,888,688,905,307,370,942,987,650,671,798,289,
651,883,462,677,939,316,610,794,284,662,167,252,581,511,624,757,500,156,827,
921,053,813,649,259,421,156,808,798,936,640,787,543,855,849,247,640,522,675,
871,457,741,657,992,173,616,566,603,387,166,336,076,511,662,674,716,369,417,
297,651,781,142,477,716,773,546,693,775,426,736,474,968,975,433,164,361,703,
140,413,974,059,579,683,096,521,700,092,291,637,727,052,837,251,736,517,173,
771,819,639,186,558,443,862,921,200,077,106,080,697,894,532,186,135,210,435,
810,718,003,409,414,485,339,273,800,044,407,613,273,872,226,606,326,363,287,
797,419,930,587,004,015,978,530,799,531,552,126,041,833,226,368,171,147,495,
179,633,364,491,954,381,204,749,438,607,804,589,985,397,064,221,332,115,404,
921,786,183,094,809,024,653,669,152,524,647,882,246,064,387,287,409,163,366,
111,161,438,264,073,660,879,434,792,956,229,205,843,570,108,496,968,201,390,
115,941,775,218,379,635,512,368,498,921,805,250,261,251,083,913,730,415,489,
149,266,237,811,484,574,376,703,498,839,965,179,066,891,967,836,191,839,932,
999,827,170,526,888,254,485,027,174,443,287,491,671,093,160,794,767,752,734,
931,836,125,175,712,911,679,036,541,921,273,659,712,384,943,686,255,960,675,
330,334,040,371,042,566,870,929,646,652,942,376,010,364,229,084,795,322,708,
139,569,545,430,100,298,464,440,312,147,015,156,719,655,064,077,693,036,228,
820,587,443,694,325,173,222,996,710,943,964,762,184,109,126,413,748,302,841,
789,287,981,365,297,860,826,018,978,890,243,258,310,531,537,666,148,378,933,
419,371,956,610,242,197,790,749,629,823,055,741,442,668,316,953,030,872,983,
279,169,882,492,577,882,156,469,589,352,586,403,810,946,630,190,808,575,786,
365,983,368,585,855,492,630,205,468,032,222,745,483,046,703,672,081,621,496,
743,888,001,894,172,481,891,400,161,312,143,238,739,678,435,849,392,439,351,
215,907,594,113,074,666,302,488,692,360,333,092,728,289,771,094,663,371,821,
761,964,621,872,410,523,175,239,231,820,536,212,209,245,850,309,174,721,584,
339,775,990,005,916,366,350,649,491,975,824,339,680,814,212,382,105,580,080,
190,278,110,107,023,058,828,557,961,665,496,797,857,573,917,405,167,057,071,
712,129,114,054,891,069,662,138,372,330,357,531,625,887,451,953,537,171,149,
764,048,892,494,567,145,314,799,717,395,533,943,463,530,463,278,077,539,538,
476,464,141,812,391,606,468,239,910,125,652,574,330,077,967,318,712,093,188,
983,166,145,080,257,414,260,817,281,661,216,076,479,610,395,594,075,213,311,
817,237,132,991,680,745,213,972,429,863,789,551,615,507,518,115,853,740,557,
464,061,069,374,868,345,812,499,270,460,755,501,479,534,920,524,224,720,211,
691,674,784,694,030,387,280,227,152,069,556,791,174,399,178,583,611,312,205,
361,189,007,083,680,782,585,185,957,773,641,754,233,793,728,958,636,797,548,
734,629,650,311,909,983,082,875,147,824,021,058,801,712,407,665,971,079,829,
480,534,458,849,929,264,205,025,101,577,357,381,597,458,109,098,415,852,348,
093,086,649,258,144,285,818,623,669,192,121,076,963,510,698,862,947,030,596,
313,813,586,174,056,545,689,413,278,291,061,858,563,865,604,877,058,901,425,
010,609,339,943,326,237,254,400,404,707,606,151,764,261,608,516,515,284,159,
015,551,984,718,209,115,077,040,219,053,317,944,565,189,630,947,853,790,876,
049,721,713,497,524,456,398,361,027,074,689,172,291,127,649,224,691,228,114,
997,990,634,616,051,567,517,523,404,345,784,291,115,232,656,384,352,000,143,
311,253,477,514,483,859,949,896,041,268,453,954,452,030,263,659,517,390,867,
888,525,534,503,095,991,188,844,388,751,191,454,486,386,793,735,925,223,035,
833,872,180,667,494,663,253,678,567,809,293,718,920,514,804,031,856,752,131,
867,092,331,703,244,289,077,352,938,988,539,833,955,505,516,469,566,999,294,
549,767,991,344,997,078,418,477,108,630,140,302,193,811,618,249,850,779,304,
672,871,479,963,789,258,752,370,038,371,897,431,584,324,418,374,698,087,593,
541,640,834,604,256,471,366,111,655,487,266,651,015,284,618,509,590,920,717,
938,773,303,005,627,940,723,445,751,928,383,448,651,294,104,359,531,588,694,
338,391,368,223,733,297,766,380,653,980,385,764,665,373,646,739,381,264,819,
411,706,246,646,329,156,678,838,151,591,652,728,789,091,995,364,787,873,517,
357,471,503,008,856,310,851,367,968,016,438,747,219,478,292,909,738,777,334,
576,304,016,875,531,500,784,958,714,196,620,561,349,448,334,369,830,690,531,
559,648,690,439,775,096,950,252,946,968,255,426,459,139,664,443,615,148,624,
025,418,115,650,275,139,554,299,565,723,740,976,019,750,367,908,495,542,213,
758,950,384,009,400,154,032,966,196,369,780,762,346,740,419,590,417,669,780,
489,920,622,246,716,118,309,260,476,325,003,609,590,979,074,852,229,695,989,
930,544,273,841,613,981,323,714,095,300,006,485,751,439,469,482,284,981,457,
692,044,050,635,011,187,353,634,232,591,714,349,648,793,967,982,546,449,813,
232,337,080,748,360,373,230,679,423,645,522,639,482,624,590,097,721,577,473,
092,188,234,864,691,936,934,506,009,668,624,272,595,105,457,149,086,549,442,
859,689,339,073,738,150,104,635,792,441,838,529,845,238,448,924,682,873,672,
389,547,100,834,772,180,413,610,090,828,877,535,755,877,384,208,689,538,737,
073,600,620,442,111,224,538,009,425,345,686,142,099,005,319,645,844,389,785,
433,465,770,641,036,829,099,187,141,256,371,985,807,269,956,035,397,772,331,
871,018,857,431,267,065,832,326,909,926,760,308,998,031,059,577,480,343,453,
774,939,446,286,005,799,977,179,485,746,409,088,162,538,531,758,327,657,117,
791,164,433,735,924,394,496,424,513,621,120,632,411,566,051,472,017,453,256,
237,943,831,412,859,929,357,381,960,893,693,641,915,815,802,516,159,796,812,
644,235,685,155,363,037,034,699,670,197,686,873,309,428,374,563,041,669,623,
771,219,467,625,999,549,886,523,752,125,505,299,068,877,641,533,066,912,388,
395,732,840,406,688,936,763,671,967,446,188,420,512,929,006,525,961,802,741,
438,821,346,494,073,669,442,175,903,360,679,163,234,725,324,235,725,884,900,
828,971,660,805,511,435,029,154,367,414,439,619,705,496,245,879,160,394,199,
146,486,897,634,778,630,818,825,012,586,104,861,167,780,229,548,762,636,793,
136,984,092,002,435,329,969,919,332,609,990,740,861,276,939,793,354,590,411,
214,819,314,422,131,399,782,344,513,527,882,725,049,476,180,940,945,415,132,
914,246,136,981,800,615,740,379,153,272,244,826,878,409,578,771,988,104,404,
944,361,318,378,475,674,076,846,668,684,105,606,000,741,998,442,333,468,400,
180,204,553,510,163,241,706,860,746,288,703,357,967,749,218,523,736,667,098,
517,146,794,466,137,977,403,549,626,888,436,184,170,942,363,919,218,164,220,
380,383,960,738,858,032,692,585,832,311,939,282,071,116,834,283,503,582,337,
894,616,004,987,875,674,617,360,808,424,429,360,533,908,664,342,772,082,044,
759,308,421,821,411,117,868,909,308,798,784,546,186,642,119,823,583,795,945,
463,344,459,874,662,946,144,556,054,091,679,120,332,923,386,398,634,914,559,
804,752,073,683,797,165,014,538,099,341,267,601,988,882,497,715,779,633,713,
038,695,232,337,961,001,546,700,505,988,229,950,965,509,304,108,515,273,574,
521,024,543,250,944,971,725,570,982,213,555,438,493,363,330,989,574,214,360,
829,879,930,704,557,245,697,913,303,296,866,073,730,871,328,255,485,422,380,
327,015,947,303,623,282,954,697,323,613,664,087,472,806,187,890,448,447,259,
376,023,550,462,737,895,673,663,721,779,446,960,775,079,093,477,921,709,880,
535,888,237,504,121,047,478,344,533,723,058,136,115,157,837,221,511,186,424,
786,617,380,163,124,825,625,466,813,969,092,156,321,649,128,711,877,628,191,
963,341,661,866,821,779,405,209,964,566,478,548,450,072,067,192,192,439,287,
912,192,353,586,137,941,488,628,615,530,805,189,284,454,467,049,040,359,763,
761,652,252,554,189,897,437,757,044,561,458,361,524,337,834,195,778,543,013,
815,542,451,533,762,532,881,959,290,741,661,734,683,600,302,273,492,018,717,
729,898,331,645,239,824,776,836,646,203,311,578,109,132,822,093,874,480,655,
105,339,300,026,435,401,817,780,360,254,726,702,521,049,683,076,670,410,447,
157,555,884,970,454,689,757,836,009,139,471,054,212,503,342,798,558,742,397,
326,179,751,882,723,751,212,548,086,525,560,229,107,971,143,002,094,024,253,
518,043,398,531,447,716,358,717,489,541,175,476,278,194,994,907,763,407,501,
682,637,212,264,444,066,550,678,976,681,987,268,908,841,629,023,466,763,021,
361,338,886,883,930,185,398,548,114,517,660,967,999,953,470,769,794,908,059,
969,711,791,964,528,613,906,611,970,175,874,175,957,770,556,466,746,990,269,
295,825,048,392,421,231,008,215,005,340,413,202,057,164,104,739,093,704,817,
908,941,465,805,835,222,054,163,793,891,050,330,328,825,184,472,797,248,466,
938,595,373,686,711,777,004,325,167,746,893,771,154,913,293,583,125,819,143,
167,917,582,431,321,061,582,248,187,264,774,542,751,087,009,425,332,272,401,
977,788,498,241,226,385,525,524,425,589,227,889,734,340,038,620,470,988,541,
055,247,316,908,648,632,304,467,095,541,882,809,243,341,222,672,429,213,641,
148,600,533,018,965,271,851,374,298,643,794,548,807,486,342,059,508,037,506,
955,874,562,110,733,363,643,026,407,061,734,020,718,008,385,594,440,984,194,
365,172,157,173,546,663,550,936,450,032,700,314,709,915,690,590,883,337,408,
411,043,919,475,771,320,954,086,270,081,994,777,408,074,297,833,364,173,869,
902,454,078,323,855,018,168,188,868,534,206,856,915,469,301,018,663,216,205,
598,771,347,995,181,633,068,057,387,339,333,449,441,897,942,215,863,953,223,
334,833,370,322,392,936,441,443,159,227,207,371,157,463,723,338,787,203,052,
282,961,448,332,235,439,025,833,516,621,092,159,838,887,837,282,948,816,648,
932,862,440,101,096,516,318,359,786,944,730,679,740,862,510,151,848,635,644,
967,294,093,686,413,747,683,386,006,069,169,965,436,813,514,210,387,171,358,
903,558,377,164,894,181,136,432,309,873,886,612,640,918,508,131,975,664,225,
069,858,293,604,326,258,303,558,204,429,986,288,025,253,863,521,962,953,829,
827,206,843,137,763,643,335,891,670,797,199,084,910,116,151,397,203,357,934,
562,172,275,273,001,601,668,236,772,058,067,087,694,529,367,214,661,992,114,
094,131,481,032,348,345,594,584,067,603,860,975,725,363,121,705,203,002,327,
294,761,733,375,934,334,248,819,636,037,268,086,323,779,868,715,495,671,940,
401,040,936,225,186,308,830,670,560,845,772,276,062,292,717,493,611,465,196,
483,051,698,347,500,293,863,364,847,132,513,651,227,687,179,831,132,194,771,
343,347,223,200,529,937,715,416,302,802,109,869,048,179,116,571,853,628,952,
523,796,857,375,785,037,538,536,120,271,172,943,645,076,515,033,538,200,582,
979,323,671,856,083,563,022,611,957,982,493,570,035,784,152,181,605,230,772,
881,330,584,175,228,538,998,683,427,766,808,790,465,366,559,874,632,401,260,
192,224,571,318,310,979,707,737,068,511,011,010,788,890,094,404,372,719,923,
952,387,477,959,699,148,602,928,392,241,910,289,992,579,549,408,763,938,930,
556,098,138,660,435,326,632,298,790,846,872,077,519,491,738,925,204,815,531,
195,257,404,686,023,992,881,319,248,885,637,586,866,967,908,089,450,520,362,
568,591,228,803,072,242,171,188,085,368,913,434,453,935,901,919,482,526,891,
289,759,869,943,313,411,358,911,879,749,402,839,726,712,875,263,810,185,776,
624,927,813,783,788,811,666,552,125,568,247,320,177,538,119,263,442,238,635,
019,199,416,806,684,645,262,219,656,013,261,266,167,182,001,062,212,422,505,
147,405,988,469,114,837,985,582,482,059,454,271,258,963,424,532,391,446,637,
642,338,033,234,934,469,129,283,852,752,351,770,147,646,867,600,697,814,164,
950,557,708,836,636,521,273,305,345,879,388,925,338,533,967,738,438,211,626,
306,424,344,106,573,996,196,862,541,616,065,360,670,766,078,932,737,345,323,
507,349,943,139,096,664,060,299,141,752,370,411,281,011,651,515,356,252,626,
991,762,470,397,208,020,906,195,179,252,173,942,249,029,119,386,565,756,060,
441,230,389,521,184,574,011,174,402,626,584,224,607,304,780,205,186,966,765,
451,696,488,442,833,876,863,417,263,142,089,696,398,714,039,206,989,426,527,
673,607,915,564,789,547,425,598,493,300,708,198,257,676,558,126,984,484,832,
462,732,887,897,431,656,246,056,169,402,168,509,863,399,518,903,159,657,977,
518,238,494,937,876,576,320,734,129,458,619,936,423,044,775,326,530,105,660,
974,347,602,540,006,489,292,913,626,796,797,705,930,090,397,067,377,596,993,
155,666,450,717,146,256,471,581,513,947,716,050,815,374,881,713,265,672,553,
829,665,900,665,633,537,825,986,248,679,503,162,034,013,416,821,441,777,177,
129,098,680,422,000,813,556,769,938,072,006,238,756,055,003,907,162,243,078,
352,483,346,949,895,049,222,474,098,030,238,499,406,865,258,423,174,600,639,
309,492,091,586,324,280,346,010,665,021,809,305,069,268,641,758,166,298,234,
925,537,426,455,038,355,202,974,484,642,353,908,618,942,808,756,396,892,209,
553,879,183,926,025,772,974,794,896,915,423,217,627,929,360,636,045,381,565,
298,588,809,221,014,963,913,475,743,060,276,833,921,017,820,016,494,282,263,
530,800,032,746,441,562,525,341,929,270,091,362,489,203,314,141,898,398,263,
678,533,471,623,429,726,733,405,958,084,450,447,572,716,213,872,748,825,311,
102,803,805,214,303,515,044,106,056,047,903,606,760,230,188,176,306,154,328,
200,696,196,945,145,218,395,088,398,181,558,543,549,459,794,163,946,296,897,
898,441,562,781,721,248,753,591,974,949,053,332,042,466,346,101,935,690,798,
155,393,572,801,569,482,929,600,244,141,323,138,128,611,155,998,289,048,768,
586,787,274,197,003,315,879,112,853,253,633,186,337,304,787,296,810,444,051,
827,581,777,675,458,749,883,403,919,493,980,028,811,907,174,579,318,354,942,
847,976,525,849,843,679,794,730,353,289,732,616,866,583,285,359,183,071,275,
145,934,253,705,628,600,759,927,086,118,963,057,542,419,681,667,177,415,047,
195,665,661,043,915,481,506,900,722,145,972,160,433,980,264,295,828,956,784,
236,289,773,689,933,221,041,319,176,456,895,507,188,541,818,806,808,722,835,
520,559,923,644,456,751,542,003,325,859,121,013,649,532,640,924,369,859,686,
393,417,283,938,395,337,957,886,681,831,933,702,148,252,577,135,914,266,248,
823,918,248,287,322,596,487,339,013,448,088,009,754,127,473,946,079,626,326,
336,043,985,548,209,553,786,809,648,595,131,719,777,491,863,109,893,348,018,
467,220,898,920,487,093,532,866,802,523,687,320,185,389,510,474,898,979,692,
325,187,842,799,097,786,809,954,364,170,928,342,103,675,389,154,342,692,084,
231,456,464,865,785,611,982,313,116,132,504,282,488,440,580,314,864,416,019,
879,801,276,412,284,428,597,487,579,952,761,231,648,491,156,037,472,868,380,
604,390,828,967,825,126,940,088,110,820,380,609,463,450,038,530,047,066,353,
131,529,256,324,731,519,242,615,147,409,888,293,129,424,310,657,744,613,788,
327,325,303,947,968,685,524,397,242,696,205,779,265,809,840,473,136,976,884,
161,038,786,779,129,599,406,585,129,953,848,589,342,931,986,461,819,703,053,
189,981,021,384,662,488,126,696,203,203,160,393,984,485,636,489,893,417,234,
549,932,168,465,785,338,741,455,272,884,474,511,471,789,423,622,087,750,333,
017,349,546,887,199,298,573,033,256,026,688,135,160,526,478,637,802,209,162,
803,708,175,158,675,209,975,520,689,324,209,132,088,311,856,918,041,358,338,
346,007,877,921,999,364,730,189,073,136,997,518,436,388,935,450,791,110,272,
850,644,398,590,020,251,662,657,565,896,174,603,331,462,332,533,538,006,940,
405,260,704,783,621,805,202,447,596,222,573,801,615,710,692,246,384,809,532,
844,460,184,638,124,173,675,092,889,758,914,598,946,956,490,149,724,033,001,
384,339,898,295,097,221,190,691,621,160,635,981,457,005,983,329,593,902,794,
003,568,194,822,483,231,982,871,708,091,507,881,696,401,537,454,103,739,329,
982,714,459,769,808,555,759,063,562,641,988,430,619,739,948,095,947,191,355,
617,995,664,825,103,517,170,881,105,544,252,448,439,916,193,520,686,092,728,
638,697,139,379,163,010,867,432,905,435,512,699,673,036,731,078,749,263,861,
854,063,131,809,113,093,767,355,669,070,511,129,549,313,101,414,860,427,543,
581,573,159,099,476,503,183,508,402,899,490,953,607,855,778,808,472,447,784,
791,665,897,240,958,075,542,355,592,327,908,976,604,235,164,105,971,970,666,
164,947,593,661,124,161,204,653,613,592,096,601,587,627,200,581,532,602,903,
014,330,354,346,550,851,618,584,848,538,635,190,028,740,936,464,871,703,631,
325,470,230,877,031,537,031,036,004,605,655,724,210,350,087,616,464,506,469,
870,761,788,135,874,408,299,926,005,355,011,111,113,546,016,266,375,860,491,
088,464,624,315,442,620,758,323,790,608,796,422,702,354,795,672,103,917,254,
475,709,383,833,824,591,890,213,348,311,793,695,288,766,283,325,023,015,439,
298,512,019,546,422,783,648,479,839,014,293,820,104,695,700,897,083,386,940,
296,899,144,781,206,044,020,964,385,388,431,152,052,402,053,641,417,886,727,
175,459,821,395,090,239,312,522,147,226,074,325,948,796,198,156,902,049,054,
199,343,692,514,008,571,099,454,007,590,749,631,014,658,806,895,494,120,323,
309,451,131,538,266,157,856,263,043,570,840,221,147,689,019,088,148,126,223,
316,199,850,476,364,091,182,118,417,156,449,266,086,591,845,991,098,097,243,
120,845,617,829,932,411,351,148,076,111,889,665,745,671,402,591,268,443,519,
083,439,293,497,697,167,931,220,404,075,081,967,723,124,866,906,265,432,531,
257,211,417,365,492,090,575,553,593,856,498,869,746,009,382,620,308,899,284,
822,431,685,964,251,083,376,299,370,997,546,873,460,507,286,349,905,464,860,
137,531,153,691,681,777,037,065,517,671,702,957,339,957,441,393,935,644,809,
047,572,895,065,601,388,557,938,397,445,802,718,569,201,720,354,235,596,790,
641,288,015,936,151,566,787,889,965,857,452,501,789,179,409,056,479,333,703,
709,611,802,142,075,780,407,237,816,928,169,733,204,611,396,354,708,855,539,
203,485,412,957,340,783,733,770,919,676,390,272,317,161,631,168,230,023,385,
167,723,809,959,712,437,047,246,024,702,137,794,455,600,309,778,734,646,662,
145,784,439,396,534,732,869,497,769,517,870,500,197,380,452,484,781,653,991,
435,013,978,594,375,794,989,458,844,919,112,021,597,645,954,695,904,080,335,
566,737,118,082,002,622,551,947,362,798,909,068,537,379,841,515,405,796,962,
591,710,672,367,900,180,469,908,043,178,965,739,705,216,914,114,078,243,682,
467,078,205,157,217,305,632,267,857,533,680,591,352,713,144,264,739,652,733,
063,689,883,180,571,555,847,073,246,763,396,344,020,888,394,023,761,803,501,
877,894,050,048,965,940,389,832,788,717,575,773,815,439,049,447,852,285,608,
850,764,070,523,027,023,582,630,280,783,119,691,662,798,018,848,490,676,620,
486,820,786,147,869,696,207,634,952,403,286,810,083,828,937,191,062,327,917,
318,414,706,616,814,692,131,782,058,442,288,722,247,417,399,841,464,999,330,
634,705,074,537,924,611,613,273,321,976,203,122,385,533,167,763,241,821,378,
818,126,667,010,036,176,055,642,128,152,765,088,142,158,035,180,355,675,721,
545,529,209,834,872,225,352,160,758,213,848,486,467,727,235,711,866,581,727,
929,703,640,274,905,704,352,928,745,667,720,291,787,572,727,183,832,540,415,
675,640,891,751,532,190,279,611,263,334,419,304,811,566,717,955,446,172,892,
691,984,444,017,786,247,710,333,567,402,461,993,329,395,533,730,379,337,828,
106,087,246,795,638,057,421,964,953,520,900,161,642,546,008,879,406,558,641,
007,888,816,683,942,323,505,380,417,981,464,275,204,024,236,363,664,787,419,
579,623,577,977,806,845,834,613,656,564,079,493,548,988,990,126,348,708,713,
791,681,578,315,205,509,227,117,382,278,769,052,411,862,649,553,050,375,739,
496,446,460,741,498,972,785,912,525,631,981,479,610,973,172,133,111,822,682,
852,629,954,362,013,199,699,116,825,966,322,867,028,575,958,470,815,072,684,
231,493,489,326,354,661,525,479,464,377,286,551,948,753,895,418,476,187,427,
757,798,421,386,488,027,235,887,144,158,285,918,899,171,579,157,206,841,520,
284,817,044,777,926,039,165,662,325,465,743,010,402,444,184,354,330,541,981,
314,593,703,168,251,186,913,316,979,930,621,683,818,948,154,176,255,347,870,
143,530,473,335,003,378,027,607,485,416,113,364,877,455,294,536,264,172,965,
150,599,069,653,922,318,417,988,896,732,973,465,095,215,705,416,528,876,956,
861,819,643,932,263,198,301,658,129,949,604,492,155,202,748,867,327,382,710,
267,956,015,478,369,346,713,903,726,115,753,106,495,248,740,461,662,412,742,
049,203,522,223,787,985,091,338,122,967,353,566,640,435,079,939,462,838,290,
768,347,813,074,376,074,564,084,625,116,266,848,819,151,586,517,682,572,922,
909,041,129,421,400,711,898,056,758,900,013,860,564,125,017,206,992,760,194,
582,342,914,741,451,014,117,746,121,762,924,894,322,781,486,627,721,648,054,
660,753,557,998,045,141,112,891,434,799,302,393,375,849,926,473,675,200,759,
392,331,113,617,921,826,748,599,918,857,865,222,665,383,650,741,671,851,187,
453,016,153,612,650,544,840,233,743,471,335,661,489,402,060,563,057,485,155,
771,550,456,930,845,363,572,660,246,459,894,144,872,175,882,020,628,196,091,
412,365,805,217,543,539,050,101,659,177,960,847,620,089,203,258,944,458,900,
078,677,178,509,956,826,564,535,291,123,185,478,872,171,034,253,879,874,502,
953,819,538,872,364,080,042,800,886,417,318,643,856,091,322,630,236,199,898,
619,631,670,145,469,476,033,242,393,242,968,368,268,059,874,387,136,203,139,
040,333,089,364,467,164,044,171,221,898,173,829,007,631,807,855,781,927,791,
407,231,338,466,066,992,552,876,328,205,256,349,541,220,437,918,923,457,475,
043,044,160,811,347,383,928,364,152,142,786,831,885,156,723,493,224,346,874,
205,829,154,244,752,449,310,668,093,271,361,292,051,327,279,661,605,677,631,
986,645,317,742,125,337,345,097,461,495,911,499,762,697,291,745,667,949,944,
848,315,371,048,181,629,225,235,213,965,709,832,371,135,411,413,660,687,756,
856,148,709,804,529,280,864,076,388,363,426,488,308,675,565,327,891,406,136,
926,080,081,144,431,846,741,101,937,169,549,043,671,589,059,546,141,735,946,
318,381,769,623,470,979,757,017,327,346,188,132,512,394,615,548,220,484,640,
598,259,353,028,659,024,605,633,737,411,462,799,662,651,201,477,860,519,958,
690,561,581,047,061,195,333,468,251,196,375,001,942,218,335,503,845,998,100,
522,595,879,407,175,523,818,265,818,248,570,943,841,726,974,092,758,961,707,
367,547,593,616,104,716,913,956,279,659,726,877,068,399,394,683,887,719,266,
112,500,127,977,218,811,726,978,830,689,972,276,502,405,372,596,953,962,661,
697,044,128,847,401,016,082,410,607,547,768,522,062,621,602,530,276,869,344,
309,210,778,138,872,072,435,037,744,161,691,965,926,925,079,328,378,119,646,
802,385,026,978,115,471,676,000,897,073,476,446,869,097,301,162,454,409,240,
188,933,965,722,433,353,965,322,926,084,591,959,889,394,244,855,548,629,977,
599,513,375,265,597,457,812,638,735,208,813,192,848,413,572,440,336,009,746,
865,811,688,157,450,927,653,283,547,017,802,904,723,776,096,128,805,280,124,
376,579,434,187,304,841,863,647,371,242,676,262,879,719,437,699,131,916,412,
202,961,601,969,513,280,922,645,435,537,379,590,127,675,249,165,997,797,644,
358,237,307,078,042,365,222,151,651,950,090,025,705,133,785,819,261,621,571,
521,522,364,809,402,043,703,223,554,107,566,612,035,407,597,708,450,632,328,
574,453,322,561,767,589,302,239,610,296,480,584,810,684,315,870,555,822,264,
030,257,067,676,381,319,499,277,438,594,544,500,237,367,154,063,063,811,722,
683,299,963,989,530,177,819,641,838,178,397,812,418,581,141,311,485,241,443,
925,880,572,360,560,630,091,629,578,438,425,659,796,007,309,505,351,671,874,
360,154,978,571,042,403,212,280,634,222,301,823,045,748,292,905,082,231,073,
794,748,512,779,519,905,819,630,765,754,141,441,999,506,233,929,526,342,820,
089,710,645,633,716,160,418,483,920,508,797,882,543,884,319,726,182,607,943,
622,682,599,341,069,148,137,669,593,637,720,388,799,067,466,560,855,220,853,
459,588,914,691,976,557,817,028,666,243,169,362,850,733,217,176,180,960,750,
301,902,420,877,282,994,734,553,352,969,980,874,127,339,278,638,997,953,055,
217,943,357,323,110,747,547,143,035,064,164,735,092,267,428,382,161,912,492,
769,043,658,209,494,282,477,476,592,238,385,784,536,192,783,462,187,487,202,
054,865,569,657,204,283,437,693,062,307,084,543,474,644,874,196,248,043,636,
556,508,715,141,880,311,188,457,653,002,833,935,860,572,617,026,889,594,346,
659,255,142,451,738,825,254,327,828,470,703,999,790,364,718,302,159,760,911,
393,686,401,975,224,114,061,345,692,966,268,824,216,566,944,329,475,119,926,
680,927,556,361,065,586,602,207,207,517,310,671,980,170,500,084,810,701,391,
471,048,817,132,400,533,480,940,689,651,127,106,196,693,530,235,364,892,630,
659,984,636,418,228,091,157,748,292,478,214,576,003,915,986,991,773,710,046,
088,088,373,834,077,279,889,381,849,625,345,583,000,342,549,769,488,065,687,
097,322,491,517,465,586,289,047,979,418,736,716,290,804,751,070,069,369,886,
726,960,612,067,817,641,510,556,286,256,133,736,199,263,041,325,660,298,283,
028,434,645,918,909,866,461,686,626,197,860,869,094,127,030,154,545,345,948,
289,260,153,556,261,828,465,578,681,692,005,325,700,167,505,969,825,324,871,
095,729,826,902,353,636,446,059,353,600,293,762,650,988,453,576,392,138,515,
506,605,658,915,254,522,393,570,281,880,433,125,112,487,354,288,317,675,140,
120,042,683,422,160,364,139,544,780,241,114,171,609,843,246,274,848,940,413,
691,281,169,832,139,681,288,864,633,367,511,638,759,692,728,417,236,269,932,
090,430,103,316,498,584,207,054,484,173,374,842,013,196,777,979,393,359,612,
192,802,797,696,419,325,861,088,315,089,517,802,858,315,401,123,665,648,004,
439,817,396,290,297,136,309,330,982,957,694,653,866,384,313,739,713,859,440,
145,266,533,952,903,968,971,722,705,558,526,706,817,109,736,279,370,595,023,
819,841,439,887,978,902,033,448,646,278,865,812,957,652,876,186,416,090,909,
988,874,706,079,605,138,906,726,318,607,910,762,057,728,468,512,705,155,722,
715,699,781,213,619,858,014,245,662,251,660,331,310,944,341,945,837,757,503,
455,702,640,959,708,081,993,980,612,175,776,915,987,063,257,390,573,393,570,
770,685,198,726,830,945,032,324,207,891,868,203,698,095,474,121,073,795,371,
121,289,950,053,285,770,782,891,861,147,791,317,260,115,427,591,621,740,816,
793,047,989,851,467,371,106,616,570,111,840,170,306,947,851,779,969,581,654,
223,711,203,917,630,500,798,615,594,503,839,161,095,713,593,871,487,166,420,
737,573,879,229,128,103,657,188,036,145,962,147,349,116,516,946,828,933,457,
579,508,686,416,469,195,679,220,097,375,626,347,730,944,900,879,377,047,003,
269,755,409,181,848,505,922,477,835,980,850,059,774,604,095,099,222,696,342,
633,839,258,658,436,608,542,573,661,671,134,959,378,786,975,061,541,809,261,
267,711,941,023,744,427,630,253,546,693,399,943,242,867,141,420,069,812,165,
301,739,915,277,912,694,298,648,721,667,135,394,697,164,953,705,871,392,806,
782,683,868,202,848,836,167,668,354,750,615,097,938,619,892,261,622,393,768,
158,711,451,736,107,276,909,219,649,068,714,522,141,289,487,937,114,067,286,
273,906,870,657,303,178,944,782,238,058,877,326,322,439,742,021,764,577,576,
330,187,050,229,074,358,045,391,991,598,417,664,585,143,409,800,067,683,333,
505,490,979,346,920,914,451,870,518,474,023,551,427,017,714,012,027,007,425,
964,658,157,073,067,866,215,065,121,714,558,658,033,561,817,980,372,578,257,
698,942,613,400,676,891,962,309,453,643,576,107,094,637,302,183,784,115,758,
137,371,608,579,740,968,138,262,401,886,615,153,950,259,980,711,466,830,223,
389,090,579,387,964,793,041,040,488,988,955,112,706,448,412,615,963,077,455,
140,491,843,084,577,479,445,244,195,225,994,358,050,411,135,602,003,291,573,
091,110,265,777,575,628,458,409,106,835,254,816,069,391,995,106,753,842,510,
510,845,800,122,667,072,066,023,634,205,650,325,518,005,861,908,730,430,136,
933,160,842,386,570,482,335,051,586,188,911,848,474,291,552,921,160,621,751,
239,363,631,593,706,044,318,066,314,041,015,334,199,054,068,626,891,236,139,
843,105,511,520,520,506,410,166,892,913,087,183,028,628,606,357,963,216,982,
217,358,710,946,842,220,372,074,312,490,062,849,368,234,441,709,260,356,627,
816,175,532,862,350,229,770,126,581,222,050,926,502,824,369,393,516,358,810,
552,404,840,380,649,475,605,660,065,451,168,830,106,917,413,922,504,866,550,
793,021,025,436,387,180,319,847,970,800,082,875,175,910,315,741,078,617,262,
981,817,678,953,206,657,382,373,939,120,011,793,676,870,326,710,277,033,444,
419,004,461,847,803,503,687,044,976,488,358,945,725,323,343,893,154,652,139,
209,163,841,874,296,904,021,920,541,129,608,252,858,205,049,114,211,760,980,
998,923,799,341,675,285,669,069,644,190,151,531,184,637,834,138,271,903,040,
622,012,124,082,963,444,807,878,225,446,665,383,217,513,044,837,905,069,714,
412,339,357,091,417,804,274,264,272,043,519,730,581,448,716,559,857,943,346,
080,288,029,806,934,003,082,389,808,611,378,443,715,463,401,322,956,293,324,
538,455,046,682,368,865,643,881,778,398,928,530,906,357,964,141,317,264,597,
516,056,158,031,596,811,444,907,371,248,078,364,087,269,862,833,166,153,772,
245,008,552,330,908,519,585,447,519,955,285,719,109,969,678,612,047,940,405,
750,022,300,865,124,907,534,877,066,256,443,347,446,104,020,518,245,500,975,
440,452,162,520,563,317,647,130,286,069,428,939,456,374,350,563,674,559,693,
526,027,069,929,854,875,238,682,845,884,008,906,672,330,929,844,622,242,918,
115,157,504,870,826,521,539,493,436,119,853,698,032,331,480,222,306,949,179,
888,181,219,773,404,759,121,501,119,765,203,156,888,846,967,822,643,981,934,
369,169,582,867,235,806,790,177,969,431,631,405,062,660,304,840,735,809,860,
267,810,778,973,565,548,315,410,642,962,485,547,745,904,993,072,345,103,440,
131,859,949,650,330,361,483,825,474,890,742,967,188,269,262,526,239,836,560,
813,873,316,933,580,260,372,601,326,934,656,260,491,734,675,816,795,514,157,
710,375,158,419,577,540,336,178,511,631,154,904,468,926,620,229,880,198,751,
942,117,406,159,362,760,506,831,032,195,146,412,134,764,142,159,112,538,309,
312,888,965,785,355,099,494,552,002,706,473,375,328,156,960,355,771,811,165,
245,837,553,762,057,692,228,969,285,873,408,958,818,323,674,295,442,506,257,
648,088,971,600,872,515,042,105,442,565,321,792,857,605,065,461,330,713,065,
836,926,847,317,860,609,960,593,204,047,531,697,094,167,253,546,717,817,323,
727,280,944,942,293,169,331,694,385,999,315,608,182,985,689,282,932,747,305,
928,781,112,261,384,447,242,811,029,426,065,444,318,891,614,372,758,856,930,
063,841,630,221,952,383,783,272,528,461,302,248,733,509,973,799,268,368,182,
440,531,515,112,770,480,812,035,295,428,643,919,946,009,975,378,514,107,197,
548,928,280,221,283,486,427,957,829,442,101,151,938,216,064,624,571,873,124,
023,310,999,260,082,610,638,010,233,921,368,279,457,204,936,436,167,018,361,
755,770,480,260,041,165,323,556,769,062,862,165,890,650,820,717,716,821,727,
930,506,767,836,891,892,894,603,134,001,215,506,689,242,281,617,731,051,619,
361,388,299,230,817,394,394,195,409,790,042,852,082,352,087,071,784,899,086,
072,998,496,373,768,137,364,387,075,930,997,988,775,786,649,323,895,607,732,
661,463,656,053,294,483,158,071,651,315,715,017,877,115,137,592,995,660,797,
663,877,810,480,582,849,021,259,384,547,415,709,948,944,257,767,293,737,889,
258,126,435,415,571,463,860,772,743,310,496,705,404,219,504,311,704,293,678,
917,706,451,000,625,345,466,092,979,855,601,289,980,254,744,439,280,303,229,
167,831,110,489,818,122,583,010,684,975,250,626,380,783,802,755,975,640,173,
628,615,034,392,198,628,257,592,002,435,127,248,248,446,542,304,266,697,911,
059,450,632,827,726,413,405,687,205,081,608,670,628,103,211,443,533,528,855,
565,073,982,118,648,255,492,508,568,883,509,780,340,101,734,252,377,382,785,
991,739,723,266,153,284,257,406,032,585,063,498,938,557,398,047,195,483,532,
707,180,367,420,964,612,759,816,413,752,937,215,873,340,563,427,611,912,922,
228,864,515,457,220,995,577,571,866,774,684,647,514,865,347,890,289,745,760,
333,989,762,681,805,068,602,408,924,548,954,657,208,969,464,090,719,057,199,
516,049,443,664,178,045,419,043,047,717,331,508,357,995,890,357,437,504,584,
180,655,878,078,272,937,297,680,599,798,620,696,547,532,077,035,651,643,304,
761,531,313,919,077,214,587,642,597,769,342,052,961,444,541,321,912,011,005,
750,984,812,853,019,364,213,220,696,182,046,806,930,361,357,885,512,367,622,
955,582,868,946,749,100,715,805,755,917,922,613,032,953,220,148,828,720,707,
218,889,227,640,409,611,040,302,664,052,305,980,118,344,409,485,335,183,474,
231,999,520,630,925,805,855,255,580,681,866,946,368,675,496,754,637,566,162,
134,926,451,516,669,852,466,089,543,543,213,275,920,901,295,137,341,286,019,
282,947,317,649,176,968,843,244,756,281,247,688,084,415,262,225,299,852,268,
163,257,017,811,867,592,061,790,248,139,446,411,189,866,732,376,963,947,725,
785,362,295,064,486,801,031,315,260,730,187,697,053,365,270,530,944,270,021,
287,884,067,275,683,781,469,754,865,041,764,607,705,391,085,942,098,053,002,
072,600,314,293,655,352,725,286,219,264,178,876,151,880,221,445,331,772,740,
359,493,296,950,129,587,729,715,453,767,581,559,404,521,784,736,908,081,582,
188,208,535,093,398,888,066,871,520,490,825,549,321,286,172,421,942,282,873,
613,703,065,889,969,447,243,743,339,761,215,818,348,804,943,363,464,084,091,
585,431,946,340,222,510,221,779,994,778,487,761,392,886,458,374,877,993,537,
249,338,834,846,195,611,618,584,741,340,742,497,011,010,744,230,802,119,577,
559,476,402,428,274,958,002,386,203,701,327,535,262,181,109,414,711,946,621,
948,657,732,196,239,648,213,550,116,883,824,071,036,412,510,449,270,291,783,
018,243,308,384,075,009,729,211,778,832,123,395,134,687,890,161,957,676,364,
874,379,625,270,197,062,728,468,275,240,948,082,113,690,718,553,462,748,213,
812,958,305,760,416,890,040,777,239,428,554,933,518,544,357,100,406,136,852,
787,434,305,217,544,677,571,065,280,711,113,260,341,402,000,409,275,441,426,
451,022,702,030,221,255,763,748,943,108,816,626,568,088,512,054,083,196,639,
653,372,043,811,529,648,688,309,496,438,115,812,527,487,421,301,758,103,214,
988,249,043,514,937,203,202,570,763,486,192,369,265,346,758,569,347,617,581,
552,334,577,772,328,553,487,849,229,975,139,264,909,502,004,881,387,312,995,
275,656,741,541,550,842,371,640,560,123,847,008,425,762,809,555,843,334,491,
305,098,929,445,922,849,271,802,216,721,867,042,036,573,174,391,195,031,741,
982,704,336,874,788,985,317,173,437,357,178,063,585,415,483,667,407,895,382,
127,272,008,914,529,586,336,916,381,829,185,542,737,232,908,830,151,268,705,
407,993,324,516,294,436,996,336,730,706,500,374,340,048,742,119,033,005,800,
560,339,546,980,430,641,194,583,082,937,194,205,786,023,044,420,025,522,209,
215,932,168,071,942,349,829,999,643,055,095,304,685,224,461,202,766,644,357,
185,299,062,918,882,783,628,397,848,185,518,483,901,837,561,097,062,748,631,
661,859,502,676,540,338,089,360,408,778,077,683,714,057,904,307,481,959,582,
161,302,653,063,455,301,105,992,907,662,645,122,306,034,384,294,095,898,680,
227,815,021,486,957,445,090,088,945,208,463,692,968,834,216,549,582,530,682,
470,427,887,377,011,414,229,500,363,383,065,639,000,873,548,248,246,502,353,
182,305,265,050,756,872,658,965,447,801,268,760,532,614,487,730,402,960,632,
482,092,214,477,059,222,299,436,818,986,439,642,448,747,530,070,917,878,991,
653,566,820,012,158,251,160,573,222,951,528,644,875,994,229,363,988,682,972,
266,454,499,812,008,498,311,563,194,172,257,514,563,236,189,693,324,283,878,
397,793,404,869,218,996,073,071,426,086,138,929,612,653,095,581,622,128,150,
569,977,496,825,493,031,622,500,770,018,899,033,363,642,159,944,882,700,354,
149,744,991,602,885,104,663,462,467,814,165,932,415,797,962,833,013,023,917,
800,241,698,164,337,842,604,786,880,345,695,935,209,758,786,843,580,551,129,
105,377,466,014,263,595,368,094,643,168,328,015,614,811,256,423,938,624,580,
800,929,649,956,504,923,482,125,477,418,552,514,990,130,763,392,421,135,682,
351,857,211,435,833,190,790,476,399,300,926,485,662,533,679,494,344,917,326,
199,910,770,954,138,296,892,721,716,248,246,352,214,456,051,036,849,286,849,
066,509,090,353,084,239,665,888,456,449,279,114,786,113,033,150,190,329,551,
020,958,780,299,765,955,824,093,017,493,643,933,375,705,614,684,878,234,254,
206,851,779,252,795,851,906,509,232,038,870,912,668,367,795,177,591,336,049,
145,171,625,335,248,273,256,870,708,221,655,632,072,173,897,423,064,104,532,
149,338,068,756,086,118,925,098,122,475,445,057,936,480,870,114,490,358,631,
399,509,864,880,090,239,145,564,314,727,946,861,113,151,665,661,476,599,916,
807,308,893,891,470,970,008,158,468,457,004,875,124,324,122,706,848,036,982,
729,057,888,982,414,400,434,634,539,949,672,008,378,088,360,663,458,341,954,
761,695,223,090,139,279,277,726,073,249,174,922,643,823,678,603,766,126,443,
143,726,565,361,653,353,402,882,628,241,487,380,506,176,120,679,869,652,281,
074,962,481,878,778,865,861,505,401,380,113,224,930,827,281,172,910,531,449,
465,933,046,920,626,296,264,479,413,159,098,243,029,859,100,401,698,851,998,
737,129,063,443,637,308,957,591,675,428,431,199,727,285,209,119,309,829,997,
331,787,456,273,142,680,758,173,286,493,604,767,787,652,053,912,779,831,299,
833,900,268,781,083,518,299,890,701,410,504,375,333,445,856,810,350,672,224,
325,891,704,948,091,732,827,481,646,412,965,922,801,994,348,581,441,468,536,
843,184,382,544,821,292,182,981,840,304,431,879,516,785,308,317,412,913,442,
140,319,739,301,273,897,443,654,522,071,178,029,318,610,910,017,865,469,805,
240,821,299,736,800,069,345,326,309,090,505,510,578,434,153,818,644,072,817,
534,526,365,941,418,557,724,350,625,437,949,617,796,162,162,846,740,861,327,
271,886,956,280,933,711,993,834,923,933,372,648,291,496,086,694,915,558,165,
307,914,579,434,279,479,331,487,122,526,827,874,057,208,702,200,307,328,120,
980,221,853,326,241,135,644,408,341,329,151,972,277,128,837,318,801,963,634,
109,039,820,365,397,899,105,427,684,790,432,971,199,857,459,453,024,437,342,
928,474,731,165,951,900,668,889,429,598,923,321,038,437,516,638,340,876,695,
949,617,978,472,307,611,967,791,051,336,735,132,390,378,227,297,465,287,098,
785,772,104,222,414,184,952,172,568,986,880,613,735,315,638,463,836,922,858,
412,328,276,686,571,202,405,369,432,225,528,826,858,405,433,142,817,020,730,
722,629,549,341,706,017,589,935,746,300,743,999,244,445,588,063,685,918,517,
712,549,446,268,374,907,137,480,641,449,778,910,168,097,539,960,715,278,901,
495,777,544,010,234,378,829,178,066,379,708,523,084,092,823,452,620,352,832,
694,590,558,743,643,418,733,257,951,967,056,251,815,631,422,560,415,877,807,
437,809,439,545,600,621,869,591,926,933,784,590,173,935,440,580,674,674,945,
732,791,720,951,780,235,231,252,928,329,704,754,711,119,041,705,019,837,192,
336,779,018,170,688,606,227,160,175,121,861,604,785,521,261,605,549,782,134,
208,452,971,589,525,002,446,131,737,298,433,266,675,084,969,248,228,021,829,
527,415,578,662,808,757,126,875,589,911,094,171,337,695,361,880,185,009,293,
567,395,435,104,527,961,208,906,792,310,457,885,324,316,090,363,677,047,745,
651,479,149,984,978,985,742,493,788,424,889,779,884,220,467,070,251,239,098,
671,459,281,554,617,186,630,015,603,187,638,605,559,879,936,685,553,621,328,
200,326,212,473,695,688,755,963,698,889,199,319,680,689,132,335,448,824,421,
947,351,379,686,075,275,461,943,209,722,628,618,246,991,612,652,546,143,884,
210,108,096,970,242,883,480,568,801,559,858,323,838,320,591,960,641,755,776,
239,769,043,863,461,709,622,476,693,788,579,291,229,574,696,361,151,170,730,
352,421,223,947,151,039,278,615,382,797,521,825,318,710,405,752,987,482,728,
240,889,778,747,559,479,277,299,920,160,896,883,530,090,183,115,563,196,616,
402,694,380,239,065,318,476,621,634,369,517,672,216,289,080,279,714,021,890,
443,261,207,909,676,551,689,481,264,006,905,546,062,400,088,450,066,814,076,
247,187,760,343,492,585,043,992,890,129,477,811,642,705,765,923,429,389,774,
978,191,087,986,080,099,853,279,601,136,386,663,631,626,102,124,008,349,650,
355,884,636,790,975,574,068,649,636,406,239,517,298,836,227,651,425,484,513,
715,322,647,835,315,766,955,831,107,997,625,628,663,765,068,174,867,569,813,
814,602,671,315,749,483,859,455,890,100,551,565,950,461,694,959,407,370,668,
462,601,343,481,000,129,776,158,071,328,852,498,633,215,221,581,265,133,168,
507,309,412,107,277,958,835,509,214,817,185,336,263,772,277,582,124,571,619,
545,346,303,912,391,782,611,745,989,882,089,680,551,273,502,972,850,442,637,
832,298,321,190,947,545,812,434,682,982,906,947,803,783,384,038,897,461,004,
195,899,787,432,861,247,764,624,660,283,293,229,481,996,698,226,239,948,559,
894,203,112,486,744,698,424,705,348,074,494,674,745,969,023,462,631,665,035,
846,918,129,505,747,571,460,538,834,209,027,891,510,178,887,470,188,970,365,
172,656,945,433,382,914,347,335,952,161,704,673,807,016,249,256,800,631,616,
197,300,479,910,143,938,743,362,837,056,145,112,980,514,459,304,858,156,308,
897,512,078,846,335,688,967,500,917,633,004,422,595,129,124,654,741,870,466,
539,783,084,420,187,164,452,123,750,951,794,067,775,747,515,475,018,008,030,
872,636,043,456,044,132,831,850,168,763,504,565,778,464,562,352,419,301,201,
667,680,160,962,374,765,978,424,528,599,494,038,062,264,806,358,723,336,752,
631,146,197,586,450,738,209,463,206,611,298,596,978,694,730,959,611,369,664,
749,530,563,741,355,631,051,130,232,508,166,927,790,974,869,902,952,434,323,
399,279,917,072,507,893,890,290,531,524,133,949,253,706,345,518,675,862,642,
048,741,774,570,396,973,191,412,881,479,519,724,019,547,036,166,122,594,789,
490,426,081,907,364,439,383,792,019,511,464,354,278,732,548,610,662,144,792,
110,917,231,624,189,135,501,685,431,631,336,212,892,960,331,080,137,325,850,
754,034,292,394,699,530,118,289,702,093,929,109,159,673,290,737,772,937,923,
199,935,653,359,353,399,121,770,053,853,063,828,458,996,920,829,553,058,600,
568,232,369,571,888,459,017,986,913,437,866,010,372,690,763,489,709,423,999,
408,999,854,147,451,462,219,040,664,442,104,265,388,547,405,570,073,174,087,
928,646,757,908,211,404,437,419,144,156,513,049,643,334,331,564,964,197,794,
757,849,161,130,211,460,974,801,686,531,312,065,269,802,529,039,432,563,370,
201,252,741,543,964,017,297,112,914,944,171,969,690,932,008,353,954,275,304,
629,739,627,272,188,374,562,625,101,637,015,220,249,856,572,060,224,239,249,
762,681,983,931,787,578,831,213,390,879,493,173,045,760,999,433,289,915,881,
555,825,477,311,667,763,939,410,696,667,475,670,501,132,444,696,422,434,362,
975,125,912,128,280,218,309,171,077,141,281,967,703,523,224,359,349,269,994,
199,187,120,248,075,901,305,524,719,630,366,097,643,345,086,828,248,293,804,
387,308,260,216,152,373,741,761,252,361,277,479,864,094,673,960,535,755,179,
462,093,429,315,922,782,544,987,347,178,786,099,276,063,766,437,748,535,575,
541,646,496,027,864,355,661,070,763,545,005,474,510,588,008,255,402,942,667,
659,730,346,887,554,129,864,566,928,757,616,183,499,185,889,506,820,987,632,
340,570,502,274,900,570,081,549,812,134,812,262,825,375,775,369,207,902,040,
127,752,338,136,180,557,702,307,841,148,518,361,736,340,687,237,420,903,045,
165,651,932,621,334,845,085,015,510,267,483,922,622,512,746,445,005,009,830,
386,032,773,161,004,075,907,976,681,219,109,079,637,977,039,256,862,743,999,
363,585,511,110,281,937,247,126,092,311,966,106,902,787,466,203,767,222,373,
843,738,068,080,995,370,774,964,293,715,580,446,404,453,487,087,237,248,202,
969,740,590,552,560,950,032,857,889,258,419,533,988,501,505,608,602,593,995,
008,699,886,346,737,661,717,714,423,759,656,552,262,711,437,150,582,163,684,
836,699,175,114,550,104,458,611,498,913,794,956,730,192,515,805,486,903,591,
032,093,718,735,419,410,850,067,671,212,123,958,694,362,632,556,294,626,625,
177,330,413,201,297,279,323,234,316,272,903,320,179,805,370,482,471,294,989,
347,545,173,229,619,036,211,884,070,671,676,651,223,606,576,614,421,742,040,
350,069,383,753,591,035,749,719,041,431,618,208,823,592,436,488,083,239,013,
269,856,271,310,095,899,699,563,497,273,308,513,242,706,772,252,030,649,424,
996,158,535,772,431,535,855,518,223,224,427,897,431,259,697,093,104,643,551,
901,933,583,337,420,976,339,555,126,561,071,802,316,685,601,890,242,042,941,
115,795,331,772,818,400,544,024,659,823,036,411,359,306,483,375,333,494,818,
594,387,574,536,369,107,912,894,049,834,117,082,641,828,521,321,160,407,887,
774,294,091,899,089,947,232,428,224,426,233,156,299,539,179,155,565,630,695,
498,872,786,418,893,778,419,939,104,401,081,713,688,006,288,793,312,174,450,
414,660,663,620,886,463,605,856,873,480,938,718,290,566,720,510,396,582,219,
424,597,593,031,455,457,948,309,752,374,223,916,398,603,494,878,479,404,730,
350,554,081,492,426,823,711,750,929,737,783,476,703,566,922,759,940,225,383,
421,740,254,439,781,605,725,872,347,245,026,549,721,422,170,888,389,296,388,
654,974,608,165,432,638,823,709,582,655,183,741,503,415,239,561,774,869,268,
970,025,445,722,930,368,604,172,738,295,396,325,321,750,555,408,101,493,172,
637,613,420,986,946,427,786,476,082,445,196,928,542,342,538,452,753,441,072,
039,005,412,043,576,119,203,063,977,980,753,176,873,085,203,502,071,763,147,
642,199,567,773,400,847,878,892,126,718,027,735,183,451,576,907,120,332,628,
022,452,112,662,339,600,948,328,961,844,980,459,969,505,232,900,066,853,398,
662,135,861,110,476,374,377,944,497,031,826,460,771,497,219,258,449,344,351,
171,586,350,584,742,269,063,795,581,361,619,999,304,477,374,723,841,952,812,
439,535,183,975,580,250,824,547,891,597,454,786,407,276,175,885,395,666,876,
343,500,179,442,897,656,348,777,142,764,566,247,111,406,125,623,790,043,395,
333,732,118,317,115,696,084,339,432,419,816,365,665,858,375,012,570,752,091,
602,117,008,057,509,137,788,686,195,605,613,126,422,034,360,467,559,115,924,
986,649,716,870,399,012,173,834,424,551,488,330,114,300,822,978,747,674,944,
315,052,337,003,727,409,983,854,864,024,369,269,861,958,809,553,007,554,028,
266,967,307,959,552,831,575,739,042,246,443,214,257,185,564,413,567,486,761,
388,859,835,965,678,720,335,912,522,158,066,747,405,173,598,006,994,614,191,
696,173,288,176,364,572,321,251,530,797,963,738,332,449,184,841,302,097,032,
203,789,393,826,876,082,997,474,810,624,196,585,036,361,672,190,408,339,108,
801,157,998,244,009,676,038,646,651,447,376,610,735,566,957,182,088,940,734,
534,064,540,484,540,524,476,557,930,029,764,775,734,140,091,806,846,637,642,
937,775,973,833,733,573,429,882,812,430,803,775,811,118,571,728,813,083,463,
521,346,834,297,155,698,228,117,155,132,962,267,769,877,905,578,702,605,851,
883,160,225,312,235,716,867,690,304,669,156,441,370,094,445,776,626,299,896,
592,668,129,153,949,789,902,781,156,335,724,732,511,023,794,060,073,491,884,
677,896,047,846,901,011,459,157,898,395,608,052,638,458,970,162,974,627,220,
174,572,617,210,952,079,329,131,840,169,158,834,744,425,887,677,717,601,700,
406,250,713,037,530,989,413,104,921,249,725,889,857,564,846,518,151,334,653,
159,231,066,898,198,151,676,524,443,288,181,890,319,699,817,390,764,576,142,
056,985,515,122,625,166,354,691,094,790,516,953,132,570,766,251,844,235,391,
618,685,841,747,612,284,192,077,708,577,764,450,889,533,924,934,167,087,748,
304,062,567,816,536,211,707,225,447,229,058,167,040,197,712,395,085,325,810,
695,367,159,974,552,120,833,578,979,321,899,381,894,102,490,255,913,004,643,
028,531,483,227,771,805,781,381,025,487,085,641,775,372,525,341,921,636,796,
591,184,731,180,468,073,865,214,907,871,437,404,657,565,712,114,923,435,795,
517,813,215,607,131,442,557,081,551,772,363,374,453,534,103,578,451,781,442,
989,063,127,533,287,331,854,410,415,792,037,864,130,680,240,924,079,451,809,
348,192,912,492,477,545,828,763,033,421,014,202,207,093,986,285,446,040,698,
842,780,298,421,890,592,746,878,915,563,966,465,572,007,874,817,468,020,966,
917,742,226,343,960,867,215,074,775,840,834,773,189,763,493,699,765,753,505,
937,592,884,408,345,622,792,463,377,686,874,018,236,204,474,405,295,422,212,
351,376,494,741,782,750,404,528,043,707,589,804,272,218,521,216,589,302,498,
180,342,738,240,809,297,930,908,357,294,055,899,094,138,202,000,466,802,930,
511,284,197,688,179,481,366,048,898,902,193,251,074,410,992,718,544,765,986,
382,543,068,367,430,116,629,641,369,512,746,382,304,261,905,235,320,653,564,
971,489,957,015,479,200,609,428,709,649,535,943,613,635,605,948,510,106,852,
521,922,452,798,592,672,839,545,762,514,124,216,788,433,863,883,597,523,998,
691,995,104,109,026,797,828,071,138,897,542,897,902,150,303,655,299,604,904,
388,194,760,927,855,759,198,048,870,154,906,590,699,616,142,431,008,619,394,
562,345,459,141,291,231,665,253,845,926,115,701,886,551,256,869,061,771,965,
313,355,431,703,008,699,584,378,405,468,923,324,117,076,026,218,498,823,027,
074,160,780,172,150,421,138,956,789,534,402,964,919,357,483,761,008,567,480,
872,945,896,662,455,888,813,973,272,661,412,369,551,826,259,513,044,465,206,
503,349,182,028,046,027,130,668,040,476,342,905,249,750,987,491,530,993,850,
847,240,439,403,891,977,486,073,003,695,243,544,874,565,799,606,232,599,342,
763,974,466,339,056,242,039,326,777,031,913,321,718,891,718,843,575,397,389,
564,616,966,307,459,075,243,331,573,276,219,232,449,370,252,153,381,897,453,
097,515,094,437,700,670,687,512,574,456,993,611,602,878,264,437,546,644,540,
912,979,265,049,318,672,908,144,199,236,002,094,486,161,752,080,176,534,253,
157,268,187,086,286,437,975,693,695,949,019,805,904,410,974,512,662,490,728,
623,641,250,564,059,497,076,888,855,511,450,226,547,609,475,095,071,882,508,
110,637,961,070,597,198,157,445,981,249,200,132,649,165,023,556,635,429,222,
727,349,997,195,157,850,839,793,064,205,706,650,620,067,616,718,150,065,779,
050,453,766,229,021,196,798,509,261,601,229,397,295,138,791,705,431,963,136,
910,423,263,929,340,050,554,825,992,437,043,607,288,572,567,560,491,463,947,
262,896,497,249,265,367,885,153,050,877,150,865,681,300,324,015,004,758,099,
754,546,649,323,914,202,597,134,799,206,872,216,840,524,752,500,700,630,585,
089,930,329,356,196,850,965,612,042,517,511,400,681,836,476,222,531,087,086,
354,800,369,531,652,396,691,463,035,007,174,970,343,496,518,097,391,656,898,
855,005,102,488,858,257,169,844,848,931,556,487,011,983,540,239,514,919,038,
259,527,217,641,883,496,113,644,507,979,273,893,463,686,204,410,934,780,164,
772,471,237,279,903,610,587,478,588,655,563,999,242,701,998,072,794,064,442,
440,469,792,627,371,373,951,562,906,245,840,343,370,840,101,547,448,502,070,
730,018,816,658,092,478,205,057,720,604,596,621,890,233,988,146,583,554,587,
274,496,808,617,394,363,656,585,970,365,620,795,334,565,773,515,614,935,020,
505,320,325,539,636,508,035,261,583,684,055,489,829,461,750,197,565,437,778,
704,114,414,674,645,840,553,722,213,481,957,290,956,595,174,730,157,928,214,
866,571,598,899,037,775,168,420,625,778,042,436,061,344,466,113,005,299,890,
075,247,691,796,711,098,973,203,250,515,497,145,465,894,466,332,992,944,960,
692,880,707,797,822,226,588,923,751,976,447,736,389,296,899,951,479,847,397,
001,611,297,673,746,737,687,930,589,568,827,792,311,466,941,818,054,541,356,
418,178,993,579,423,804,086,558,991,255,458,359,365,968,997,942,740,702,213,
321,236,054,423,632,967,986,462,166,719,970,898,914,238,915,916,314,295,369,
534,202,936,228,561,446,217,899,234,158,125,731,224,960,381,323,184,587,179,
732,307,481,479,313,515,728,889,114,045,909,903,269,459,013,745,647,866,989,
879,695,784,158,763,747,059,218,487,115,044,091,153,469,050,567,170,649,009,
817,386,587,772,154,401,405,217,484,480,451,860,812,951,571,426,547,969,348,
845,896,284,893,869,813,480,756,114,272,598,428,907,839,682,220,745,195,571,
623,001,705,454,444,703,684,156,832,018,232,580,575,410,692,144,320,073,130,
347,364,875,025,533,961,810,830,475,385,112,894,155,957,623,645,361,863,096,
733,535,474,694,559,088,267,445,241,937,788,651,696,405,929,750,976,150,583,
647,528,453,334,752,401,276,303,777,055,564,885,006,010,832,690,416,582,649,
663,317,483,603,302,030,781,385,607,423,018,296,880,988,152,002,494,334,871,
741,620,607,999,487,596,677,536,909,337,766,013,862,433,617,250,473,351,086,
691,089,980,009,154,126,641,203,109,482,350,715,772,074,454,316,344,106,134,
929,535,330,687,184,731,055,102,782,051,392,305,584,917,508,783,373,945,136,
167,063,763,136,036,878,055,552,326,887,263,934,751,297,484,589,450,344,700,
748,948,480,314,059,776,258,979,231,681,006,656,441,126,053,321,435,533,485,
070,989,720,448,882,149,258,036,053,477,620,204,508,564,709,279,943,421,389,
643,554,587,674,937,086,793,282,312,756,228,643,421,306,046,528,192,940,703,
921,954,500,939,910,880,536,168,244,866,866,635,805,226,605,163,038,023,791,
553,630,313,957,349,579,506,266,985,996,913,810,012,623,691,582,957,833,826,
541,134,470,304,324,600,538,494,982,887,654,233,952,616,611,722,187,198,592,
612,624,338,741,778,975,688,922,615,389,439,078,873,662,344,311,985,724,721,
476,055,885,728,967,871,727,099,989,414,494,109,237,566,087,719,987,161,550,
142,449,317,721,995,467,707,134,415,987,573,250,349,327,323,288,065,947,649,
205,470,316,432,711,242,151,372,946,862,947,772,940,021,214,037,007,282,468,
012,226,394,333,906,103,400,185,298,794,555,553,852,935,409,817,647,230,738,
681,516,041,394,357,726,281,502,277,795,435,937,072,236,072,013,041,355,684,
051,530,164,100,038,764,773,608,695,604,535,272,137,588,764,070,713,005,224,
411,490,759,408,146,160,789,137,152,768,312,692,774,771,388,384,875,749,829,
529,687,139,368,845,512,761,539,232,669,161,882,644,766,207,891,185,360,228,
668,135,664,185,733,322,295,404,131,146,892,611,082,161,341,814,095,340,356,
977,009,278,331,249,762,492,371,309,826,693,978,737,695,412,932,701,975,125,
465,676,226,081,610,746,345,927,375,140,243,989,576,414,410,057,755,882,352,
990,007,741,476,562,362,665,332,295,877,300,957,832,116,528,754,666,016,297,
634,722,528,572,846,697,158,009,350,429,653,243,382,893,807,253,054,082,693,
865,208,386,020,918,973,115,424,845,955,089,727,365,341,665,237,277,113,904,
609,313,523,980,107,769,930,903,642,384,435,628,264,566,792,384,415,516,760,
553,533,271,941,767,945,854,236,771,074,823,908,803,786,242,054,163,990,243,
545,421,676,938,225,340,245,703,593,501,927,321,640,922,267,829,337,124,706,
871,438,647,468,141,946,459,341,918,990,458,572,761,121,517,375,837,742,942,
319,956,498,099,914,342,859,370,056,874,969,052,782,329,373,976,853,419,082,
268,689,544,351,784,180,453,913,449,646,012,315,720,490,308,898,097,881,491,
027,617,600,582,323,895,812,200,863,541,474,345,019,093,070,079,459,916,113,
057,285,622,036,018,621,385,475,850,000,499,422,557,750,591,113,905,117,767,
251,439,358,570,210,584,063,183,791,826,146,225,431,881,076,855,864,466,021,
438,507,433,306,677,794,906,591,891,845,241,766,745,385,519,416,039,869,053,
279,670,290,525,864,838,599,110,160,971,837,638,905,325,693,920,834,294,666,
315,961,563,682,931,099,810,363,676,599,625,274,303,002,120,295,805,241,821,
669,397,660,324,291,011,162,826,769,523,096,554,476,940,489,620,934,898,185,
964,661,620,713,233,232,002,394,891,069,389,302,163,385,257,909,415,064,554,
063,448,162,238,010,846,406,678,281,055,686,526,704,439,952,210,811,104,482,
485,261,929,789,174,402,735,206,832,349,346,677,713,097,820,172,809,557,519,
601,926,326,032,531,442,541,570,883,679,539,023,792,305,327,236,473,984,794,
198,295,318,816,354,634,829,170,630,618,060,167,958,219,755,241,840,426,492,
600,550,407,090,839,216,670,752,743,355,228,485,045,214,373,362,209,278,174,
390,575,106,417,919,917,883,120,210,232,624,749,523,642,001,652,205,830,354,
203,214,171,774,438,907,562,826,671,444,545,116,272,299,079,575,309,957,061,
847,484,245,486,853,415,900,471,623,893,641,295,071,872,279,397,555,296,213,
146,359,863,545,422,712,387,167,563,023,677,132,078,055,510,628,905,054,208,
700,105,912,585,192,084,785,764,676,181,663,896,409,901,636,017,467,543,466,
962,491,092,154,689,738,362,674,657,263,792,681,514,085,027,687,561,003,581,
943,667,516,641,200,420,941,155,321,608,517,216,352,897,939,961,615,939,701,
231,546,799,066,658,166,759,635,229,216,513,975,456,784,200,959,181,669,328,
955,455,052,025,071,044,919,008,343,044,784,259,616,317,412,055,961,900,587,
482,787,786,171,518,576,221,693,054,816,785,907,778,896,839,328,414,115,821,
583,429,698,450,472,967,276,915,959,373,831,331,350,503,498,109,969,756,964,
832,713,885,394,871,640,679,930,994,787,958,241,638,889,062,261,581,590,851,
212,674,957,984,165,734,134,609,747,367,699,803,017,827,567,311,817,696,483,
052,398,148,679,767,407,040,672,952,675,351,928,069,094,093,043,846,549,596,
534,967,187,614,711,974,665,283,025,782,127,808,517,330,442,391,245,690,044,
842,809,873,642,410,332,798,489,254,629,322,971,474,530,311,815,751,357,246,
167,344,107,995,171,527,517,397,350,439,372,460,486,715,179,028,903,024,210,
751,887,220,153,423,437,555,066,178,505,971,152,515,546,800,281,866,908,510,
592,443,073,998,662,750,928,712,098,520,668,303,167,957,672,324,773,547,267,
100,546,725,690,108,709,785,672,361,731,736,951,775,899,532,612,917,890,265,
376,653,244,121,340,804,256,919,498,657,084,159,592,747,143,551,357,111,400,
843,962,073,871,890,140,360,119,674,267,027,125,244,483,112,106,737,314,318,
545,669,439,418,831,897,483,497,186,044,594,537,394,016,384,056,160,046,178,
892,004,702,859,168,018,680,142,931,263,186,718,103,621,198,275,674,648,589,
360,804,841,060,601,623,609,919,717,986,649,895,693,033,855,552,437,383,026,
755,227,985,421,309,285,082,577,379,748,151,954,529,792,848,259,852,074,261,
648,795,959,016,133,130,124,601,991,005,175,648,264,149,025,843,976,584,488,
482,017,611,476,804,697,488,924,730,503,120,212,050,315,934,051,219,798,697,
484,309,491,014,933,196,601,508,633,120,998,676,463,447,596,670,691,993,943,
279,802,647,056,603,661,013,656,522,932,320,368,284,002,008,237,260,279,552,
255,936,874,263,654,832,005,576,778,974,776,103,854,153,886,377,514,021,976,
949,085,316,544,673,601,042,449,319,773,784,404,290,986,182,923,138,428,618,
057,914,301,640,649,423,502,816,977,752,639,381,883,503,583,932,987,973,235,
549,188,883,459,002,386,182,214,900,223,720,036,517,601,615,491,848,156,220,
681,197,684,673,705,898,449,664,726,404,338,618,614,890,307,194,594,446,332,
421,784,816,442,411,978,907,549,705,607,047,419,068,660,134,656,154,622,384,
697,546,739,593,430,024,963,766,319,844,379,440,747,501,283,351,178,513,352,
694,932,496,462,240,583,639,457,214,648,707,581,663,562,781,133,656,025,768,
089,562,279,353,413,542,196,234,554,876,779,275,277,837,078,053,481,626,701,
792,156,189,838,081,951,097,046,427,498,869,813,296,035,330,413,543,242,662,
390,602,627,270,695,809,256,101,429,115,171,917,791,769,915,495,033,842,603,
162,391,694,168,628,981,537,293,813,608,814,974,874,101,938,808,047,441,989,
019,188,798,525,486,082,219,499,892,527,565,222,210,838,287,622,072,116,909,
777,374,913,100,510,501,959,659,250,908,712,950,846,607,125,564,661,369,342,
122,894,001,551,742,568,375,569,855,770,047,400,365,889,902,229,667,292,409,
728,579,898,770,400,697,975,708,234,514,352,914,541,413,982,218,836,575,087,
470,288,040,618,425,551,872,452,848,882,420,196,562,869,978,299,687,728,130,
655,244,190,336,321,260,231,225,881,209,707,740,628,573,900,787,834,112,350,
760,037,632,152,058,834,887,124,591,896,533,138,093,906,067,668,113,498,265,
755,981,430,638,818,206,085,419,044,387,275,158,733,879,800,932,923,302,284,
701,438,803,138,182,613,829,874,042,187,692,552,486,126,527,177,488,317,923,
141,233,069,477,662,469,392,937,698,185,809,430,211,116,647,136,485,546,013,
549,919,528,629,230,023,706,215,541,531,880,502,607,611,370,877,533,360,262,
429,894,796,521,173,311,608,770,235,558,957,109,673,760,729,103,259,780,083,
759,982,920,562,524,795,551,576,607,916,710,316,660,680,386,823,873,744,700,
387,819,278,912,732,737,076,024,917,379,449,676,857,140,960,817,397,375,840,
557,604,687,124,559,532,062,135,641,111,519,857,643,496,603,086,412,246,321,
773,738,078,863,833,276,383,080,832,080,093,923,116,645,581,817,247,991,140,
781,890,227,987,630,665,027,639,032,564,566,240,496,280,720,116,988,471,786,
416,576,120,666,960,703,473,460,797,871,998,837,349,534,887,071,892,665,846,
293,706,363,292,811,305,971,813,083,316,204,372,642,726,602,560,455,145,188,
009,802,837,636,244,121,325,113,173,482,979,147,336,620,847,421,565,871,115,
992,270,935,307,398,955,927,134,113,288,795,327,861,197,355,180,478,485,663,
988,225,832,422,242,376,694,173,423,891,315,699,231,600,265,574,824,961,507,
958,143,964,246,094,756,875,926,584,809,422,401,666,833,730,878,622,182,024,
396,567,754,703,175,404,305,118,216,797,600,317,045,242,307,344,792,503,838,
765,115,078,931,601,388,825,572,110,487,484,218,983,173,958,358,159,944,304,
811,948,342,820,038,984,583,199,342,254,708,427,213,435,125,449,933,830,325,
709,780,115,162,457,667,411,122,930,704,089,696,362,019,049,935,158,942,985,
288,220,971,388,160,374,202,077,539,472,772,187,648,264,662,084,602,985,756,
125,851,003,863,320,342,950,320,518,126,167,687,308,333,749,297,080,985,818,
558,009,336,441,868,246,485,653,669,626,593,389,888,150,603,071,681,957,839,
500,024,994,241,893,873,336,715,028,090,452,369,659,113,944,713,262,818,339,
042,181,005,832,796,188,727,708,868,084,474,839,995,129,636,464,762,364,637,
090,301,633,463,160,235,703,479,878,143,041,140,878,349,050,385,200,807,508,
465,513,951,377,916,241,616,491,080,742,498,863,462,410,255,114,129,005,996,
045,799,914,616,037,653,253,241,738,090,861,851,852,361,497,286,844,776,678,
077,997,677,592,432,655,609,911,323,916,591,573,024,673,654,780,175,948,313,
717,821,902,197,215,740,502,416,843,074,627,782,688,896,014,050,380,002,044,
406,716,134,158,278,369,936,124,166,893,023,396,576,340,319,206,071,929,945,
514,586,366,875,534,205,718,468,837,480,103,472,354,940,335,358,783,870,693,
672,263,533,181,248,042,195,584,992,555,957,068,508,968,650,325,919,029,420,
309,920,165,159,892,990,878,631,175,635,379,683,529,447,702,987,637,657,630,
263,257,589,347,571,195,448,907,385,871,590,423,854,906,728,855,034,561,035,
386,525,333,800,352,745,181,348,400,327,944,528,026,562,359,720,102,140,547,
059,811,087,371,136,939,562,030,016,460,266,562,604,552,443,498,593,325,713,
933,631,210,184,106,777,033,318,902,462,017,645,062,226,849,115,965,347,624,
587,637,804,167,874,386,680,254,161,829,616,480,018,486,044,477,705,843,852,
676,652,928,742,026,892,659,184,430,293,351,052,437,252,493,286,072,904,721,
449,520,198,110,839,629,568,615,593,526,584,883,350,187,757,276,807,429,730,
787,878,257,032,111,281,664,404,326,988,545,041,076,680,031,937,506,409,547,
711,390,841,694,342,312,163,387,833,311,464,369,270,338,616,181,289,170,962,
114,503,930,080,955,805,897,567,672,327,047,175,142,659,773,252,647,451,640,
863,660,722,930,344,292,321,859,848,285,434,962,997,529,198,970,943,505,633,
740,044,235,792,567,749,203,415,146,757,649,108,370,933,918,279,251,230,182,
096,438,075,349,923,232,163,716,466,573,261,945,417,407,280,639,689,129,223,
291,925,160,772,357,582,094,159,742,811,580,248,521,500,640,586,722,135,230,
165,291,499,596,694,734,052,085,286,134,046,671,158,120,938,379,641,003,448,
332,900,869,057,319,423,224,610,096,363,640,857,145,209,809,887,465,453,198,
033,380,525,254,912,028,858,552,144,088,925,089,082,688,250,722,993,075,906,
084,299,332,914,478,827,506,618,946,493,210,841,013,804,482,479,137,695,497,
076,220,883,107,951,484,556,921,502,281,064,951,243,193,674,251,805,421,306,
215,252,534,264,613,189,035,235,056,145,655,984,613,549,304,189,940,133,170,
442,189,635,377,980,680,209,730,323,245,687,310,908,015,707,740,712,429,229,
533,356,590,908,626,756,515,858,233,437,755,102,307,596,642,268,665,565,414,
475,077,710,374,224,959,709,625,798,268,528,075,635,156,617,055,044,370,259,
171,128,299,997,654,251,011,867,347,246,618,813,815,568,782,475,212,877,874,
642,583,952,327,857,474,227,477,848,856,471,139,571,474,833,120,652,333,077,
662,790,165,305,158,664,435,566,183,813,215,226,357,215,718,025,437,257,587,
794,511,059,530,057,367,125,795,098,692,897,780,397,931,984,436,800,910,462,
541,410,889,780,013,338,852,963,564,788,542,740,736,766,169,804,643,904,944,
878,222,127,564,397,293,260,010,522,902,133,785,731,049,479,628,590,060,237,
051,410,378,599,044,020,641,475,741,731,534,733,418,544,727,046,853,519,343,
620,520,145,028,576,871,733,384,717,935,660,634,268,675,019,896,780,282,599,
572,439,419,478,530,375,429,278,476,330,358,868,188,419,616,014,112,909,561,
745,542,006,569,766,251,648,804,712,210,390,862,058,048,529,354,934,056,443,
255,424,133,278,104,531,338,662,713,091,810,048,132,215,246,679,322,103,404,
043,844,491,589,431,245,002,464,255,004,654,633,965,839,198,197,288,506,135,
727,373,426,717,439,092,768,847,407,949,432,587,636,320,297,928,019,265,465,
989,094,510,508,680,706,407,205,550,376,984,349,810,998,499,710,092,304,255,
994,292,231,151,708,714,110,158,130,299,798,321,240,805,639,514,142,118,177,
094,331,202,183,409,559,737,767,524,736,069,908,777,721,552,721,054,608,383,
089,736,298,927,897,839,769,140,589,842,631,559,374,284,173,740,614,410,499,
239,268,655,275,583,822,220,413,425,149,575,097,700,048,244,830,402,026,942,
562,631,850,480,768,317,565,700,597,402,792,780,336,232,443,321,947,175,554,
737,220,944,432,276,212,838,549,512,042,092,482,437,532,913,884,874,240,152,
033,519,049,511,829,502,751,043,660,448,203,048,297,518,195,446,043,499,882,
241,783,131,072,356,980,972,756,946,347,162,323,544,040,707,644,553,626,210,
939,555,576,368,606,778,380,268,617,131,566,955,656,562,308,338,862,815,867,
647,345,119,158,674,341,606,877,818,807,825,077,195,018,158,237,160,126,863,
263,067,266,183,078,928,358,287,004,086,567,563,384,031,831,977,140,453,844,
446,459,371,178,571,608,479,896,700,270,552,412,350,858,803,584,839,446,566,
713,321,628,597,305,944,623,057,007,222,230,606,071,799,701,371,604,357,319,
608,460,458,128,866,958,513,498,222,991,240,193,221,086,738,519,839,675,068,
289,240,211,118,502,266,593,838,813,860,516,348,518,303,908,202,581,030,911,
892,570,734,845,079,537,930,815,597,138,353,648,912,409,178,746,661,638,848,
806,654,464,618,831,661,674,101,004,136,030,123,129,191,691,058,148,867,588,
760,859,209,979,711,359,768,310,107,908,479,213,563,568,014,194,983,039,892,
536,937,402,899,093,618,080,602,753,022,547,123,910,659,660,652,893,370,843,
618,887,347,656,221,234,737,402,828,490,851,488,934,274,264,531,259,304,944,
393,932,575,537,649,230,862,275,122,816,434,956,147,943,872,520,692,792,629,
867,876,529,215,225,439,027,344,506,040,142,615,319,960,931,099,639,405,627,
034,898,228,848,424,370,911,492,510,883,319,752,972,585,826,722,095,778,250,
704,356,396,321,970,313,959,638,021,068,952,065,752,875,031,556,429,177,923,
426,776,921,577,008,957,144,240,315,463,076,079,466,982,325,988,890,998,376,
960,227,301,990,228,648,564,448,140,345,201,470,013,384,925,416,513,920,752,
552,100,951,225,169,266,934,342,011,566,922,515,402,236,394,614,570,051,485,
224,408,544,743,105,453,481,300,530,181,897,009,107,071,334,775,164,088,093,
771,424,058,900,562,850,234,561,744,848,812,030,942,404,993,007,651,283,893,
214,725,285,443,133,429,258,037,026,356,075,393,465,510,792,647,904,283,245,
358,813,898,902,389,649,519,348,714,119,750,253,292,683,383,067,620,248,365,
496,012,202,638,922,803,792,236,840,909,247,486,836,354,322,266,956,182,916,
226,443,921,104,474,905,343,433,644,504,156,123,559,707,138,822,043,517,666,
643,814,442,583,068,590,342,069,882,360,520,172,638,605,356,352,679,935,983,
333,385,792,512,543,162,812,906,735,287,309,878,039,588,761,237,377,637,334,
577,952,584,993,848,879,076,706,067,338,028,139,405,501,269,386,254,425,489,
151,604,460,175,689,227,090,613,456,428,885,684,904,386,051,814,242,836,978,
306,728,442,807,913,370,347,442,327,614,949,799,105,479,072,688,259,849,315,
830,118,150,066,391,971,032,846,032,963,209,913,584,716,193,122,934,462,566,
516,715,459,427,241,381,157,954,511,520,385,619,983,823,411,143,321,626,900,
719,893,550,459,886,006,509,719,862,445,624,674,132,752,150,953,816,825,011,
910,997,084,720,895,567,157,296,449,734,065,149,316,176,251,663,392,219,986,
596,140,036,091,053,073,848,004,303,467,973,713,829,394,413,386,186,277,709,
826,315,168,457,732,934,527,723,359,038,192,959,068,044,349,039,717,078,331,
139,386,864,838,055,209,743,530,894,862,776,565,086,208,986,373,227,764,525,
637,706,739,066,255,149,313,073,380,096,749,012,875,974,971,067,759,766,704,
564,534,797,465,631,773,294,237,711,142,579,356,465,878,417,709,833,805,781,
386,588,066,545,859,651,059,161,806,452,158,005,912,637,806,118,980,589,578,
402,428,189,650,372,255,176,388,358,344,209,629,840,174,270,788,827,714,169,
894,944,628,267,516,695,772,764,111,060,778,239,309,317,968,442,480,557,012,
620,275,012,131,868,974,255,008,103,228,193,328,796,267,150,352,934,820,548,
319,079,057,795,854,686,725,808,150,955,639,087,838,975,914,992,032,142,261,
787,630,223,449,197,031,407,306,814,746,830,236,626,594,457,489,291,831,488,
112,627,756,337,326,747,721,741,540,798,149,536,683,802,634,354,582,972,133,
898,527,378,931,622,223,016,794,298,749,411,669,714,358,433,755,170,929,655,
044,179,483,973,756,870,989,014,035,744,455,527,159,814,553,404,937,674,698,
224,912,312,191,389,893,965,557,749,335,376,154,841,707,483,973,967,069,888,
338,253,040,953,972,591,970,345,882,126,220,609,567,888,267,712,659,856,654,
282,111,448,537,163,164,731,657,372,554,176,420,485,420,839,479,261,829,348,
810,576,174,026,047,538,793,763,176,744,521,198,077,671,042,674,050,913,306,
180,704,155,600,283,632,191,411,866,806,630,213,889,589,788,977,783,214,557,
518,006,918,509,840,553,566,299,969,230,121,526,170,259,059,396,709,265,879,
973,018,702,856,400,275,686,490,421,492,037,494,651,099,128,921,634,947,506,
113,734,901,105,215,463,313,566,994,215,423,235,243,915,788,484,433,708,049,
606,552,546,555,079,260,812,395,058,012,465,291,278,251,463,590,214,246,616,
265,284,100,935,249,681,354,824,747,284,262,111,094,693,206,195,411,427,778,
545,246,778,733,863,448,918,457,194,039,484,833,617,998,583,052,921,720,260,
034,992,195,509,208,264,476,151,033,876,711,016,257,150,472,718,839,798,745,
203,093,131,236,169,284,572,415,350,148,834,258,196,270,203,114,095,897,550,
421,554,790,829,487,719,457,965,830,202,378,918,103,536,015,166,759,851,567,
723,628,877,726,618,339,231,929,062,675,362,524,918,483,885,546,910,359,066,
848,310,244,087,764,183,477,601,872,903,652,522,698,528,215,869,964,524,078,
647,293,723,703,867,465,068,807,377,813,370,104,227,576,609,879,353,259,443,
612,482,554,076,424,326,695,216,773,356,770,348,042,418,076,860,836,335,947,
748,211,878,082,156,735,673,486,549,724,015,835,622,611,726,977,570,370,242,
030,624,616,461,331,289,458,822,789,834,907,062,324,944,448,063,124,955,301,
433,679,771,938,411,527,134,226,406,173,897,407,768,953,582,998,484,518,125,
462,651,321,170,064,362,548,599,760,797,696,393,576,032,845,202,589,967,388,
719,230,806,017,585,168,409,139,784,056,903,831,544,411,158,317,713,548,354,
067,072,690,905,473,694,102,159,789,351,518,781,985,410,252,160,010,606,095,
916,439,173,662,674,932,290,773,964,650,189,758,470,425,344,096,510,056,965,
554,755,312,252,269,572,963,720,918,924,534,550,794,844,610,275,631,659,566,
397,830,677,737,164,687,410,003,141,119,054,663,366,468,422,039,281,027,855,
518,415,959,521,186,671,096,123,908,766,467,681,527,133,175,854,478,468,523,
662,999,669,678,750,018,779,810,239,786,183,954,639,528,376,663,997,841,832,
080,357,976,446,085,884,349,964,484,067,074,696,199,845,835,065,768,764,110,
161,671,135,317,057,055,372,576,337,004,789,421,593,477,622,706,801,991,341,
555,676,345,764,880,097,566,895,554,946,951,346,120,482,902,847,042,007,176,
305,073,698,142,651,889,138,759,309,467,528,902,937,676,096,980,623,589,467,
831,291,731,805,514,622,364,558,436,247,795,585,978,226,453,813,977,132,230,
089,478,343,481,438,943,844,805,114,316,280,775,265,307,060,139,943,998,421,
116,258,625,685,897,364,896,810,811,632,490,858,065,043,172,035,122,104,479,
465,227,933,292,911,605,769,847,735,631,681,094,869,347,534,582,363,568,379,
303,799,910,233,570,706,123,367,821,458,252,728,919,672,540,243,338,697,603,
592,446,877,778,277,250,874,743,515,921,411,279,076,228,602,347,872,656,720,
812,879,615,193,419,268,145,842,905,600,486,935,043,160,815,584,765,141,451,
617,548,442,660,119,696,122,558,697,827,185,734,391,785,291,362,914,202,387,
378,919,742,434,762,953,686,287,618,847,933,455,664,047,397,344,150,956,539,
699,835,872,028,321,499,480,926,434,504,530,157,233,187,455,399,393,763,980,
785,415,174,098,203,157,889,040,606,786,164,060,637,512,311,496,877,353,388,
564,921,578,324,897,843,884,515,596,985,920,417,382,855,301,148,563,541,701,
161,696,840,458,876,735,510,311,850,432,487,436,186,195,363,547,623,789,004,
256,071,935,394,840,206,257,197,019,223,150,642,092,606,773,367,887,582,843,
004,545,191,431,550,250,344,983,586,212,468,408,984,236,634,424,655,638,782,
808,132,179,020,586,992,534,223,042,844,654,539,722,973,616,125,857,264,371,
161,069,126,883,605,337,642,831,996,344,452,307,615,609,068,301,999,832,188,
253,536,769,835,207,929,205,952,398,628,804,906,799,775,536,130,913,805,709,
954,562,247,616,652,649,577,770,438,303,883,299,939,341,521,519,137,475,968,
087,474,885,475,639,705,018,577,027,938,157,838,642,627,256,899,056,591,633,
678,598,247,428,467,023,242,458,555,463,712,273,882,789,725,062,895,262,950,
581,777,494,320,004,515,931,531,227,636,993,014,294,799,773,576,008,866,398,
338,420,329,621,327,302,234,922,209,245,036,813,985,366,173,419,995,332,993,
581,909,171,100,710,156,617,670,613,156,983,099,113,500,582,135,286,989,461,
774,169,562,523,815,811,274,509,893,635,479,935,233,483,487,466,312,559,643,
332,116,800,405,257,844,843,861,587,949,843,311,406,709,002,376,250,690,055,
271,213,093,320,135,342,371,601,600,640,209,228,245,186,019,126,578,263,251,
321,415,299,035,260,026,360,445,309,583,497,558,129,943,736,162,443,836,508,
650,948,188,431,663,545,689,983,477,652,782,509,148,588,491,778,700,374,846,
137,965,331,088,849,942,104,747,231,522,884,329,190,935,359,606,818,916,177,
120,784,850,470,579,340,051,327,761,950,397,439,628,658,871,739,881,526,452,
369,379,190,719,951,671,772,779,927,303,109,667,859,963,467,121,689,109,577,
050,168,191,722,296,358,180,510,627,556,975,688,323,698,310,792,406,403,754,
467,262,085,137,419,987,698,058,940,235,762,424,218,573,015,929,353,206,532,
347,165,567,136,577,303,076,594,409,028,674,798,687,575,314,801,829,142,826,
851,019,564,167,280,841,352,620,986,613,158,110,727,622,671,337,334,491,485,
685,848,320,701,625,116,624,504,057,454,519,963,030,498,551,016,334,730,583,
021,906,918,274,946,425,132,649,968,509,546,916,832,038,150,301,994,665,151,
942,479,469,780,696,677,101,454,347,951,438,730,123,517,270,526,138,987,104,
850,194,085,983,192,190,185,839,503,647,763,539,636,031,489,069,909,172,508,
923,463,146,710,341,331,946,208,604,072,714,090,701,475,628,810,046,546,762,
849,160,090,799,433,800,277,803,851,155,192,557,852,078,204,592,438,877,103,
394,067,192,689,927,062,189,319,142,340,205,933,092,721,297,077,717,214,908,
628,992,200,657,243,186,856,365,041,169,541,837,712,620,337,955,415,207,764,
432,387,052,081,856,668,032,762,520,490,786,756,891,045,682,714,620,305,063,
670,465,444,411,258,188,245,962,393,545,908,955,704,926,064,671,112,999,734,
257,810,626,302,381,514,963,309,936,172,624,841,014,947,456,851,308,024,517,
889,257,728,353,016,935,898,222,145,525,322,431,308,682,494,231,391,863,674,
366,145,287,012,326,502,314,955,000,163,920,836,819,276,091,840,767,091,861,
499,051,961,322,066,931,399,556,053,478,750,219,259,331,143,537,634,296,321,
911,281,809,405,444,050,013,496,868,653,241,710,144,782,559,752,859,738,489,
317,997,636,486,706,956,854,291,732,747,746,647,773,897,625,573,151,254,115,
722,193,082,483,397,426,028,174,478,652,168,711,430,457,997,441,094,678,674,
451,554,356,439,176,247,601,565,005,450,901,381,677,667,758,767,319,271,065,
636,137,185,298,527,074,968,472,042,513,900,236,437,762,726,796,166,632,048,
489,733,972,914,684,097,123,332,255,971,146,145,631,122,595,333,964,037,231,
454,995,112,619,792,066,557,590,919,884,109,772,371,056,676,660,291,489,569,
017,669,400,844,398,146,818,895,579,548,559,489,516,204,504,520,489,842,842,
231,049,270,593,967,551,636,818,132,044,598,125,205,473,553,498,857,653,463,
727,175,163,428,714,838,936,239,693,645,775,675,682,344,247,517,728,067,242,
679,578,969,505,965,559,765,580,971,588,694,364,733,161,189,212,459,383,427,
370,328,535,610,929,305,424,173,566,147,483,546,307,501,181,468,476,217,352,
055,456,430,306,056,573,919,575,194,328,296,103,310,410,706,366,028,829,458,
534,550,400,501,208,832,587,329,444,335,290,600,939,187,013,495,239,930,305,
248,753,812,847,371,319,649,933,306,489,514,796,374,584,508,922,253,034,571,
874,784,968,496,715,420,819,396,030,825,384,254,613,183,806,356,043,144,539,
378,873,765,394,283,870,374,549,388,376,973,789,631,935,646,374,666,189,238,
831,459,221,780,721,282,339,806,122,655,025,361,002,510,231,550,811,991,154,
311,670,938,851,366,066,018,229,285,396,589,297,801,724,759,940,617,702,333,
392,111,711,672,871,998,740,006,714,059,749,963,946,302,149,727,788,017,176,
220,635,940,914,366,422,680,895,360,933,149,868,234,485,419,179,089,261,790,
139,163,831,235,497,852,469,911,578,529,307,596,911,475,559,992,932,833,155,
467,178,644,954,706,250,812,296,426,091,126,653,597,403,614,875,784,887,609,
140,779,888,593,913,136,622,561,687,773,733,681,211,126,924,286,696,067,649,
276,896,858,044,076,581,301,317,524,293,307,311,432,952,376,817,837,758,861,
838,138,173,385,322,327,800,921,713,174,962,714,612,390,000,912,297,179,008,
502,173,890,018,297,497,475,304,616,832,758,604,893,291,025,380,446,162,330,
417,362,220,290,199,306,124,810,639,522,063,285,934,983,850,107,597,923,170,
906,067,396,453,902,761,092,535,492,506,906,953,756,403,996,327,338,824,834,
558,228,318,936,651,864,028,053,110,090,251,280,890,095,789,996,875,139,061,
765,138,126,260,852,085,104,596,304,916,470,035,535,312,068,365,695,527,945,
623,707,960,452,081,459,252,449,177,864,666,272,888,461,429,040,520,151,121,
267,984,503,811,422,218,600,218,404,856,382,027,183,174,443,406,943,682,408,
005,931,530,287,061,823,728,072,820,376,222,104,147,811,112,957,371,348,743,
655,096,403,915,683,605,454,595,247,828,130,868,268,301,698,554,820,282,708,
443,167,796,865,063,360,005,742,776,337,176,303,306,215,977,811,617,001,048,
004,126,466,963,385,132,576,317,628,648,007,965,795,263,709,872,498,453,153,
622,488,431,625,235,958,430,662,022,448,100,766,862,476,911,548,757,076,480,
023,916,081,188,382,214,738,087,447,472,800,414,719,326,598,249,295,359,711,
094,063,642,231,713,777,434,135,074,055,567,630,809,735,810,337,307,292,115,
376,577,284,048,620,984,902,673,376,080,415,300,060,335,237,324,365,896,497,
391,028,459,050,906,225,580,051,065,622,983,181,944,124,748,365,371,527,608,
845,341,652,727,321,374,179,514,615,801,922,013,106,723,801,870,133,101,725,
833,232,134,321,335,360,005,541,785,864,001,361,860,530,462,169,251,275,495,
399,377,487,905,858,914,414,086,394,679,187,858,388,259,288,706,750,847,312,
462,938,025,462,002,627,119,845,108,118,877,844,473,764,250,826,528,289,194,
292,612,881,704,197,347,469,003,820,961,270,104,039,619,966,620,523,117,644,
357,242,336,071,629,100,785,016,620,163,776,839,276,811,680,760,302,722,515,
562,547,075,763,238,275,274,408,313,145,955,297,971,340,078,976,149,373,198,
617,001,280,121,412,671,454,933,430,037,640,177,850,950,568,917,899,520,902,
740,560,370,702,720,168,211,091,854,105,742,017,409,016,170,335,879,074,356,
623,043,128,957,505,085,606,052,568,782,444,355,151,128,575,096,822,539,286,
840,592,144,807,889,382,641,007,998,841,491,785,039,736,082,506,937,340,327,
281,105,092,465,054,670,913,395,567,901,911,620,449,558,752,370,690,991,580,
804,252,714,662,648,558,732,835,248,084,759,724,377,886,784,020,578,779,131,
194,107,689,044,475,034,439,864,974,879,168,610,779,327,795,590,684,654,846,
386,160,830,431,814,738,465,966,836,334,318,871,609,492,009,393,066,626,695,
473,192,048,621,827,952,247,165,230,932,379,925,824,152,084,446,618,769,517,
632,251,318,057,898,095,474,926,137,289,397,301,041,579,267,250,170,941,220,
853,192,387,661,884,020,523,902,619,404,915,324,716,716,376,890,167,055,620,
571,973,838,117,858,815,129,283,524,678,511,148,482,165,905,669,267,767,788,
050,096,280,098,744,946,431,675,329,128,719,257,338,769,530,486,977,663,563,
585,348,818,118,925,940,507,558,217,476,180,028,207,214,899,890,576,181,233,
397,679,816,558,030,260,310,399,787,922,164,967,291,177,749,112,143,906,224,
016,334,074,573,649,828,118,730,748,153,377,693,028,770,310,887,229,769,107,
105,289,797,295,717,556,620,829,632,351,873,111,143,740,597,197,610,112,541,
970,838,174,176,149,318,426,699,423,979,672,959,746,534,296,415,712,718,643,
654,174,514,698,870,691,940,388,113,781,311,166,968,980,863,045,131,234,726,
533,355,107,898,960,137,649,338,664,302,658,141,844,712,014,863,022,538,116,
948,698,353,587,866,723,130,739,568,505,163,152,513,761,441,810,644,609,931,
142,173,846,203,627,316,512,289,601,170,436,277,474,557,043,924,231,670,177,
433,953,645,911,661,367,437,492,199,083,828,520,932,312,569,141,410,256,397,
002,246,004,703,349,177,864,848,695,304,467,192,237,897,898,420,982,932,419,
455,419,378,488,826,909,631,036,709,614,760,790,161,102,281,278,800,842,479,
825,111,515,224,263,971,232,385,030,934,669,544,862,084,234,162,838,092,401,
853,255,918,780,742,471,393,349,667,157,257,031,765,916,258,878,605,003,201,
711,549,148,853,746,093,247,098,232,951,699,240,994,881,652,305,669,736,975,
487,237,616,694,454,571,871,418,343,478,705,259,740,858,388,900,044,656,519,
726,864,311,633,743,705,117,891,346,868,793,119,965,910,321,790,719,968,406,
907,910,451,843,820,397,302,328,163,313,406,646,214,913,166,227,516,338,382,
546,499,959,033,782,521,284,948,255,938,521,009,014,686,503,455,344,944,836,
374,456,033,176,191,050,188,268,794,710,057,161,923,614,284,274,178,581,648,
317,497,970,887,307,305,318,886,698,568,611,946,641,748,256,161,276,097,717,
337,555,397,734,616,544,230,164,762,381,601,059,505,790,393,708,878,683,083,
304,309,156,549,592,949,995,582,963,671,450,005,441,998,158,303,332,477,745,
259,278,192,800,607,771,250,205,416,621,629,685,175,429,233,464,120,179,608,
021,284,337,187,282,983,785,759,112,333,871,058,593,103,504,688,586,927,541,
352,611,932,968,790,911,459,174,660,639,878,280,954,065,544,988,684,302,870,
515,173,679,434,701,961,477,251,891,038,280,907,977,783,361,207,620,008,423,
391,795,530,745,639,360,918,359,582,995,111,394,018,854,265,619,685,329,317,
331,112,714,861,809,685,395,320,455,477,959,391,060,535,140,333,153,150,689,
122,954,208,843,373,520,549,543,167,206,558,372,555,015,964,496,168,708,424,
360,543,332,812,441,318,502,917,297,641,536,164,747,281,885,751,809,973,930,
449,844,687,007,229,906,832,001,115,224,411,716,288,435,500,092,029,219,838,
361,926,227,395,432,214,833,688,600,831,338,864,002,681,023,306,021,196,005,
135,857,069,796,685,283,129,436,457,999,477,379,330,246,774,649,205,305,048,
110,132,382,867,719,965,281,055,050,256,791,761,203,774,384,093,844,665,236,
814,417,580,749,080,828,167,305,578,854,866,081,214,153,045,665,444,791,007,
608,041,409,571,546,789,766,758,826,034,772,572,819,325,563,807,293,140,750,
320,454,594,263,660,467,158,098,442,350,048,338,078,217,583,909,996,782,756,
822,973,901,101,194,439,880,671,716,520,156,541,801,452,338,495,729,518,076,
699,738,421,638,152,310,926,861,345,418,730,035,714,717,754,311,581,273,063,
607,535,043,458,135,415,914,697,651,201,258,568,789,505,120,867,678,385,743,
254,677,277,352,960,739,132,755,594,743,459,541,202,293,573,946,949,082,020,
893,107,518,032,293,278,348,459,595,447,960,672,431,355,347,415,530,209,479,
634,247,864,882,617,371,466,757,236,548,504,498,411,748,228,709,168,273,094,
062,704,851,851,701,154,925,984,294,832,597,192,335,796,508,314,809,504,868,
060,352,202,751,949,194,290,505,186,639,403,309,099,632,456,259,273,729,085,
269,237,899,849,908,379,760,133,709,067,189,897,300,321,263,583,792,989,000,
351,337,929,697,017,650,075,605,906,215,015,249,347,652,996,802,419,146,973,
963,013,118,672,477,389,912,962,627,829,820,713,653,353,312,760,545,683,662,
843,672,917,927,895,469,474,761,447,581,359,177,457,621,376,134,670,285,226,
276,237,106,795,585,112,009,483,139,190,652,402,536,179,592,409,729,188,553,
407,018,563,524,417,859,073,774,726,793,318,559,101,698,085,128,424,426,379,
154,011,694,125,573,444,851,972,408,698,467,927,913,099,433,744,411,872,430,
556,061,590,594,872,449,578,874,627,123,213,369,669,094,404,781,329,603,539,
266,276,719,203,221,865,557,375,275,945,672,354,226,605,295,010,003,488,622,
947,754,720,905,606,615,084,269,470,773,099,820,406,934,959,423,665,884,306,
444,170,235,766,207,934,853,064,504,610,695,460,525,649,047,332,578,002,644,
723,691,336,495,335,704,457,805,900,833,572,439,024,068,766,652,572,227,364,
527,825,908,646,873,805,849,252,702,956,932,853,827,477,119,373,043,828,341,
697,355,277,522,541,278,520,188,588,553,885,372,168,841,050,723,293,435,170,
781,716,362,405,032,409,490,833,402,819,456,335,596,919,792,644,688,741,377,
038,967,198,894,337,595,905,428,484,171,689,724,467,218,957,587,761,494,113,
359,241,276,873,558,519,489,476,102,337,704,002,946,347,016,644,403,202,155,
962,745,386,776,153,963,882,557,317,669,906,469,985,868,413,936,781,248,978,
992,000,418,825,658,915,666,524,224,862,881,439,144,117,253,405,439,652,838,
385,365,349,006,277,923,161,536,735,047,669,123,788,636,041,658,503,909,395,
055,452,900,402,715,594,036,363,018,991,312,311,291,431,468,420,575,419,620,
051,188,101,440,108,294,836,345,135,480,436,857,128,684,104,604,176,126,744,
652,901,475,459,163,607,625,645,267,245,785,503,537,394,511,100,218,972,801,
567,500,893,094,826,615,285,577,261,734,204,897,712,604,423,168,994,658,649,
636,308,775,043,452,813,838,842,408,473,177,284,200,580,162,929,729,056,494,
507,046,431,278,952,532,291,099,890,294,595,242,588,788,960,387,140,798,417,
658,870,957,633,630,149,013,020,562,534,189,831,430,626,726,284,623,159,107,
332,962,335,856,811,223,731,510,796,211,009,289,426,766,611,055,381,511,829,
138,998,501,926,213,943,602,954,546,271,186,587,818,893,608,067,147,284,442,
806,803,054,311,903,975,039,978,451,275,201,347,129,371,724,019,536,341,838,
108,681,611,972,688,646,141,710,741,982,697,908,792,019,295,447,225,028,031,
115,556,907,001,808,788,863,989,123,299,866,387,733,652,391,698,430,378,986,
301,253,500,589,120,048,911,492,978,249,963,023,465,029,591,973,991,267,068,
255,789,455,361,962,925,228,901,724,848,559,347,129,617,831,872,173,436,371,
813,256,199,930,588,151,244,942,901,161,246,600,508,914,478,645,227,516,124,
422,369,665,354,208,037,421,099,476,992,001,128,628,661,574,312,830,533,545,
106,245,773,512,087,865,726,194,481,604,766,959,264,564,285,503,399,433,735,
734,118,435,846,250,104,017,772,312,436,290,134,678,287,554,778,846,699,255,
149,321,204,355,284,046,626,204,357,179,727,311,210,218,233,645,050,257,482,
487,490,400,497,693,343,724,146,993,850,510,880,851,067,322,326,037,474,511,
726,129,816,112,333,740,296,274,927,756,041,496,718,131,557,205,480,758,911,
898,231,337,425,916,403,617,632,840,666,722,379,208,906,674,028,898,124,351,
323,509,327,937,980,183,279,157,275,266,267,800,776,111,531,421,209,378,250,
495,818,065,407,913,298,939,868,487,634,533,495,387,090,568,619,367,957,209,
191,301,701,259,563,729,603,731,225,044,545,575,496,269,411,080,829,363,388,
841,478,580,957,301,846,469,833,957,303,094,371,396,253,222,691,346,103,933,
573,393,814,117,051,086,283,046,230,721,551,736,282,607,310,322,191,238,474,
882,219,600,063,156,969,314,293,014,563,432,706,166,145,031,518,794,403,770,
170,315,671,964,151,177,051,669,070,456,422,977,739,561,459,027,246,624,167,
760,798,356,544,004,439,770,492,418,183,461,471,811,366,650,375,720,662,357,
471,719,939,509,966,231,445,378,172,350,832,568,780,805,950,283,044,034,312,
003,048,003,048,433,325,056,083,653,621,598,293,788,041,438,869,830,296,896,
644,293,592,324,984,264,050,632,157,995,891,793,805,136,207,428,347,631,786,
870,717,432,462,813,297,229,630,724,202,793,446,088,009,298,287,885,306,636,
890,632,838,432,532,992,868,506,014,673,878,766,421,302,454,589,397,919,074,
476,318,032,686,968,607,013,440,688,833,511,805,774,569,204,103,045,189,447,
380,046,450,644,071,321,934,476,403,710,534,347,576,538,943,321,193,957,519,
139,379,722,033,302,127,128,808,623,527,150,697,488,748,469,664,815,111,717,
126,575,299,112,198,424,464,825,936,795,256,668,074,352,288,124,320,176,078,
941,591,303,511,883,052,281,776,187,080,970,121,611,414,701,364,875,434,176,
978,920,813,818,902,694,191,765,154,725,164,463,845,759,925,118,578,832,324,
713,059,479,035,898,980,081,859,785,820,128,217,706,070,711,256,978,478,687,
413,437,039,965,660,340,893,442,884,305,648,292,021,593,961,536,491,898,009,
782,945,559,361,256,052,892,054,113,711,852,409,374,755,643,417,990,854,622,
653,439,606,849,690,911,971,121,529,580,715,895,514,907,634,119,920,303,707,
108,700,676,994,330,119,112,330,896,726,696,038,310,782,380,798,900,046,672,
619,495,483,935,736,865,558,452,303,484,267,086,329,917,930,506,494,106,360,
655,205,942,933,479,930,769,706,307,196,952,481,262,538,299,710,318,227,557,
377,232,693,572,692,016,511,008,138,902,811,680,299,024,098,719,880,581,683,
017,192,279,820,965,261,904,228,099,879,588,517,118,221,901,597,649,421,778,
520,209,951,224,957,747,629,791,098,496,489,381,081,694,925,966,035,080,472,
560,302,193,293,539,002,024,399,659,382,804,072,962,531,758,669,169,967,989,
980,253,493,646,250,270,834,424,421,908,535,361,863,316,938,044,259,703,041,
413,615,057,657,372,156,519,373,963,306,730,734,270,719,121,901,135,453,348,
463,295,017,239,180,592,880,420,461,147,532,341,668,426,650,504,106,908,749,
698,732,981,752,024,090,103,506,702,052,346,584,118,435,683,797,601,817,933,
893,360,325,549,160,746,982,793,652,416,069,365,763,394,342,214,313,736,949,
898,219,484,584,006,802,403,163,201,804,241,379,124,108,520,053,188,421,126,
426,740,175,766,821,844,583,713,059,488,667,911,697,227,494,465,479,532,201,
824,369,618,596,345,153,976,061,703,503,917,178,007,998,663,045,875,229,374,
193,881,547,142,726,544,742,456,025,476,831,702,483,052,425,551,526,082,296,
835,856,442,589,238,098,520,851,114,905,710,987,988,828,948,510,121,020,038,
357,700,642,765,421,523,808,636,269,733,945,299,977,627,812,387,346,378,241,
876,836,078,495,118,216,452,807,681,150,142,220,040,538,829,828,413,201,467,
685,321,891,536,789,138,442,713,380,372,779,438,024,722,416,599,030,810,927,
496,471,814,083,114,310,429,943,566,340,854,503,775,920,050,520,173,987,805,
562,317,992,448,490,852,850,960,403,765,511,601,903,627,398,012,415,953,502,
061,432,209,254,194,138,403,213,787,625,928,541,876,050,318,928,474,891,252,
814,783,032,991,713,449,458,654,884,043,189,651,552,276,336,802,927,171,843,
219,115,885,014,338,715,949,666,168,586,406,388,541,614,537,724,657,292,723,
761,102,963,955,404,344,263,530,539,519,932,090,246,195,220,807,918,250,676,
636,689,642,221,058,374,086,375,193,038,124,206,407,215,435,721,723,409,906,
582,906,942,904,894,833,038,645,093,951,137,511,050,247,939,668,899,624,987,
480,568,177,232,254,006,479,193,218,636,336,667,481,304,755,686,082,248,741,
218,669,742,577,852,792,108,362,960,686,152,243,969,462,720,602,962,166,484,
742,902,610,863,971,412,513,950,738,772,420,577,230,833,145,909,468,697,139,
047,900,448,285,981,256,417,094,697,333,327,751,191,393,043,798,029,560,094,
325,184,857,565,167,715,904,935,453,195,536,241,448,677,439,064,179,266,453,
044,002,149,529,442,592,806,940,744,031,777,562,157,440,602,457,634,441,602,
680,137,630,850,531,312,060,949,602,430,995,559,362,414,191,046,338,177,341,
742,131,425,008,801,655,869,175,631,221,786,605,457,424,284,413,603,356,826,
001,207,085,600,572,534,310,040,161,448,968,859,744,307,320,481,803,562,542,
967,662,136,228,018,091,886,194,870,425,376,553,575,740,580,519,941,791,956,
242,579,520,208,616,041,238,268,026,947,257,204,073,796,650,062,858,076,725,
800,747,346,668,213,201,698,535,923,746,802,048,555,839,813,916,577,529,563,
762,028,422,510,254,963,990,987,354,743,738,295,742,937,705,551,802,868,332,
286,389,041,357,178,746,896,702,701,770,319,916,863,969,775,699,471,032,338,
719,839,465,682,912,866,775,865,402,862,269,206,862,074,964,509,639,460,608,
526,744,542,747,962,970,884,634,220,325,697,670,519,801,022,281,703,598,913,
388,381,504,027,089,732,294,158,001,620,429,029,152,852,732,551,193,855,927,
273,281,430,163,152,138,593,212,138,729,033,674,117,607,799,491,083,352,932,
773,928,839,134,029,104,241,706,000,222,312,249,073,475,345,356,728,495,922,
985,177,647,042,162,201,346,419,549,571,411,496,587,155,448,367,295,390,705,
148,453,194,960,109,225,729,582,130,130,292,572,353,682,705,025,879,967,209,
018,313,402,105,465,821,909,250,774,622,677,544,754,901,308,469,236,256,166,
409,260,974,168,318,792,946,757,722,821,942,487,115,654,470,867,579,731,226,
024,751,263,913,608,900,161,771,992,493,451,423,890,848,403,978,335,923,058,
520,503,352,624,380,136,846,056,954,755,802,139,258,921,683,075,413,520,112,
317,366,950,862,585,182,961,494,058,947,708,017,386,701,075,777,858,883,702,
075,785,490,337,146,370,020,410,510,267,752,909,763,995,391,983,353,641,711,
144,320,707,385,417,204,597,289,189,344,934,816,703,155,076,517,759,429,814,
310,737,699,790,932,194,804,666,666,923,162,472,448,150,672,169,016,602,728,
131,863,556,551,143,513,555,508,276,225,411,096,589,152,219,715,833,375,145,
852,269,275,658,501,309,587,083,058,322,949,429,026,665,752,714,465,608,559,
689,925,328,422,466,331,384,527,750,526,243,530,539,208,048,005,576,305,344,
717,120,767,088,627,148,924,948,240,435,248,530,952,489,144,880,244,748,823,
644,557,237,091,034,487,434,721,865,172,823,860,734,493,641,655,897,528,203,
378,768,633,469,803,719,506,848,688,434,355,812,946,618,680,662,083,512,916,
225,764,861,307,984,223,500,835,497,803,417,762,095,308,855,495,022,144,155,
140,315,824,965,983,669,761,851,404,888,722,688,173,655,540,129,067,372,704,
572,710,995,573,557,745,646,134,543,676,967,876,694,109,799,041,594,733,151,
753,641,460,390,594,529,320,594,775,050,071,972,498,130,513,256,140,753,026,
096,290,184,617,232,293,988,982,433,850,819,965,116,699,779,938,502,063,206,
885,796,908,784,108,800,202,838,858,090,557,128,159,255,646,016,970,933,312,
094,371,711,700,959,614,351,775,955,427,028,005,849,932,984,460,408,900,315,
627,044,094,066,123,761,078,963,278,583,984,816,333,110,279,041,454,687,298,
937,101,012,544,516,713,024,482,217,908,752,945,798,843,035,375,069,043,163,
350,380,634,803,737,709,630,974,524,894,276,214,164,927,203,106,064,500,671,
876,571,890,670,217,921,179,087,867,066,171,682,645,127,428,537,748,510,712,
442,578,292,373,421,556,758,889,530,709,851,738,933,308,684,072,336,652,282,
752,222,163,433,635,380,357,417,675,263,278,644,386,567,273,107,492,241,185,
726,028,964,706,725,763,881,894,289,775,609,086,904,321,032,259,668,199,941,
804,064,049,346,673,461,542,124,279,776,698,192,462,835,725,236,532,370,363,
937,689,692,746,159,939,110,334,311,753,779,222,790,122,557,309,038,636,282,
329,528,840,106,426,181,892,841,180,654,811,225,169,837,360,733,921,811,837,
310,398,001,382,845,737,379,404,475,898,640,351,429,598,288,498,609,320,810,
731,408,378,954,202,564,328,031,712,192,794,186,277,372,193,974,385,533,484,
976,505,243,088,893,166,782,482,834,360,380,741,588,862,405,005,142,053,083,
204,862,263,702,222,920,866,773,257,291,271,888,155,207,694,955,754,637,412,
681,276,148,724,628,275,990,289,829,291,047,572,929,911,393,302,789,275,306,
979,443,460,355,061,774,914,149,295,047,474,702,428,418,995,002,059,574,616,
454,161,982,106,341,642,249,774,312,774,977,690,373,695,814,700,384,110,107,
416,018,106,752,064,278,273,963,536,720,043,400,729,989,106,918,374,095,263,
971,167,148,981,519,313,004,270,561,560,046,552,047,729,486,724,041,929,657,
518,081,885,680,696,242,339,363,805,232,647,561,633,484,313,912,547,048,689,
528,258,049,559,431,837,417,246,995,241,555,219,134,901,353,815,011,541,447,
064,820,544,789,572,386,953,673,045,474,265,483,951,025,272,472,865,034,697,
255,098,976,252,237,511,071,293,586,966,748,066,303,602,144,328,674,065,800,
060,325,109,430,644,835,962,534,942,190,230,066,200,487,425,038,941,517,805,
230,666,110,898,359,996,456,152,574,067,929,962,127,260,941,834,768,023,897,
453,491,970,267,359,665,260,848,328,881,727,659,592,515,444,877,477,891,996,
927,577,406,289,069,482,700,541,313,483,082,299,147,200,344,151,546,464,840,
084,231,182,927,780,551,645,711,257,525,263,914,547,646,467,075,888,039,948,
117,143,845,918,644,730,741,163,008,242,659,307,849,994,759,174,176,954,725,
081,208,836,217,229,149,672,334,637,818,513,176,735,473,011,512,361,917,130,
448,447,660,005,253,676,684,929,209,619,464,526,412,725,138,226,837,510,717,
759,907,503,503,966,280,576,860,606,494,676,030,898,756,324,241,795,215,312,
958,778,275,555,869,378,122,238,661,505,669,188,181,617,753,207,587,763,702,
174,223,989,440,087,734,783,990,358,017,167,201,993,433,132,222,516,847,564,
992,592,554,216,519,035,656,807,555,170,839,384,252,705,875,949,112,589,889,
328,843,296,852,166,234,784,072,494,995,479,382,388,819,905,737,644,522,517,
132,047,543,590,702,447,626,229,364,127,672,641,946,550,853,150,793,589,087,
456,635,007,837,390,329,071,954,210,797,250,217,476,680,775,802,682,796,425,
575,271,151,442,707,547,174,003,963,362,873,929,582,462,167,946,088,063,880,
154,630,634,304,815,451,128,111,208,538,792,118,416,079,249,135,468,136,943,
131,478,652,723,092,603,078,663,519,056,551,779,142,664,187,712,733,447,740,
250,287,689,613,498,920,408,189,401,473,590,346,383,616,184,520,894,932,767,
147,604,089,130,204,770,064,188,484,502,698,613,473,998,743,160,798,238,460,
360,526,343,140,589,634,410,490,171,791,042,837,888,949,137,817,035,653,986,
518,503,703,964,607,718,185,226,133,615,140,954,294,605,835,916,350,147,816,
261,487,888,425,263,229,127,716,983,868,188,951,828,570,105,618,731,816,498,
774,241,159,371,648,665,335,552,100,481,667,924,579,974,167,582,677,030,350,
186,631,210,713,035,726,704,560,810,295,875,985,982,307,866,204,014,073,874,
668,893,048,224,925,850,043,164,384,719,804,343,275,694,443,056,461,219,831,
633,152,159,124,018,684,084,684,769,799,955,381,469,470,097,194,748,888,599,
336,376,577,063,866,889,375,482,428,994,343,079,211,809,909,485,829,984,140,
796,651,491,931,088,922,030,194,441,411,295,914,428,275,292,761,416,375,656,
256,449,974,837,073,905,593,889,649,788,277,599,755,370,366,768,909,430,561,
666,143,597,368,219,223,239,568,785,725,969,500,864,222,076,126,029,833,737,
396,805,672,872,971,476,596,264,604,103,130,916,863,520,768,230,277,756,041,
996,422,362,322,775,876,603,776,273,960,021,330,899,429,244,786,051,327,155,
737,322,885,683,875,435,880,417,836,596,935,563,026,549,173,322,286,745,002,
249,088,314,076,126,537,454,954,713,919,144,176,149,819,637,804,827,255,572,
026,000,283,276,462,251,663,094,184,951,694,489,421,884,393,516,272,721,379,
170,493,182,445,517,904,728,507,160,129,082,869,763,804,006,225,723,301,561,
613,321,521,719,680,471,801,692,229,703,315,276,414,753,998,465,527,181,416,
963,285,985,833,284,294,936,701,550,883,941,073,653,158,492,204,542,483,335,
381,931,375,046,323,256,616,514,718,977,991,761,261,548,002,388,403,595,463,
127,073,228,804,654,382,212,012,421,542,672,567,944,077,846,802,599,564,287,
659,802,764,412,288,577,024,981,583,468,238,470,270,625,590,974,818,338,020,
887,068,666,544,022,934,532,201,333,105,527,789,522,220,157,118,734,454,873,
263,931,926,899,190,808,001,815,540,944,738,489,846,699,389,564,265,882,265,
322,876,797,253,733,930,417,458,159,884,013,453,237,473,525,664,226,865,306,
998,988,206,930,833,317,836,883,311,939,357,749,785,294,189,610,264,986,112,
276,851,110,288,900,622,297,297,455,888,736,512,874,240,403,901,019,852,536,
418,439,441,047,565,011,959,967,091,834,270,838,578,328,455,036,583,777,070,
660,106,642,251,732,858,815,100,783,583,710,817,581,502,313,156,754,514,958,
987,707,412,500,737,820,945,960,229,228,673,993,236,085,271,844,532,827,251,
719,676,193,337,418,163,955,223,087,339,541,945,996,787,726,769,231,711,195,
170,350,772,006,446,161,976,649,589,109,715,272,704,991,493,420,734,356,142,
885,490,179,102,803,726,361,759,465,930,624,230,601,300,612,999,720,328,013,
370,108,989,383,220,186,124,427,978,558,196,619,363,092,718,416,022,831,017,
083,769,949,861,075,665,955,416,257,055,782,759,570,529,712,113,347,370,191,
933,024,485,851,134,224,571,578,382,106,291,818,310,402,591,062,117,091,681,
183,069,828,676,417,212,407,411,115,344,198,215,923,085,015,222,398,615,517,
249,152,611,716,409,430,596,883,731,511,410,068,181,465,970,126,205,281,454,
104,239,244,094,283,838,524,006,556,504,538,143,613,184,237,603,334,576,579,
592,469,639,518,085,877,886,431,236,525,952,138,499,043,072,571,880,304,576,
014,368,602,984,539,591,038,250,240,619,918,348,434,175,588,688,150,770,945,
520,230,065,107,476,155,170,967,522,831,442,092,804,284,850,567,379,361,398,
887,062,993,139,640,503,818,261,972,912,090,079,436,194,382,133,879,361,038,
300,355,577,350,540,759,454,663,600,973,727,197,297,820,613,452,617,423,664,
504,197,331,227,313,763,350,700,390,362,230,679,433,009,251,005,557,236,165,
691,860,409,730,589,305,385,037,272,845,346,826,818,806,177,038,801,474,517,
902,478,577,091,420,441,599,030,033,345,672,675,222,868,112,506,120,822,735,
886,231,089,329,201,867,464,314,787,614,429,210,475,309,346,137,813,568,093,
720,627,626,840,792,060,764,660,555,615,905,714,846,112,512,211,378,583,580,
604,087,950,789,259,914,877,827,706,057,351,811,586,864,333,783,031,821,391,
760,197,547,231,229,724,965,065,212,875,520,415,066,046,678,793,126,912,662,
891,600,784,044,409,418,664,237,488,755,989,811,690,567,884,458,323,877,070,
087,908,267,360,267,165,250,129,964,122,178,391,840,369,332,738,913,642,726,
729,950,269,235,844,524,914,658,938,772,103,047,442,424,595,401,555,125,054,
219,791,581,623,698,641,339,804,368,820,234,733,571,947,431,363,934,395,779,
480,743,593,860,864,772,694,258,543,101,667,173,450,875,893,150,209,254,799,
401,161,407,864,474,916,861,252,784,819,683,824,429,348,702,569,662,853,816,
070,120,790,889,783,195,440,044,490,849,699,255,165,922,197,397,554,127,760,
494,082,462,960,145,862,332,394,609,232,354,851,782,996,083,506,537,019,381,
077,864,073,004,336,578,491,860,547,494,132,444,394,406,153,208,672,764,430,
055,226,924,527,745,529,449,034,439,288,985,521,313,711,342,206,645,320,583,
696,768,421,954,377,557,258,844,192,390,874,917,869,508,588,912,315,377,839,
350,205,207,200,912,787,993,929,622,084,233,064,005,355,225,757,304,797,942,
898,887,622,487,868,654,241,069,100,501,511,411,176,581,866,772,370,519,222,
282,697,317,117,944,703,758,900,707,291,129,534,946,360,015,473,588,586,318,
251,820,328,411,326,247,383,497,613,629,547,249,534,562,470,149,688,376,219,
233,573,575,714,493,901,320,098,442,596,139,865,615,298,103,252,700,382,134,
703,343,744,506,168,746,922,420,175,749,225,111,769,464,030,245,480,388,790,
952,493,561,116,366,117,436,156,235,070,797,511,349,719,854,667,124,281,044,
852,303,758,186,210,901,057,285,248,764,261,005,347,344,888,874,513,357,077,
057,040,088,206,935,384,136,494,156,638,084,140,761,121,941,494,468,548,343,
835,387,624,903,665,408,867,161,042,508,309,139,576,135,184,878,437,247,884,
174,508,315,318,782,868,101,376,243,607,914,305,709,247,549,816,067,178,932,
567,452,217,699,322,498,233,157,787,255,319,715,227,307,687,296,147,040,533,
200,264,572,400,052,675,047,576,764,965,477,502,479,680,300,469,263,496,720,
643,633,989,032,967,930,218,186,132,430,993,728,913,766,257,674,635,486,597,
821,299,007,323,140,124,450,757,608,550,130,875,754,564,562,294,717,633,135,
998,903,385,262,335,695,484,399,780,308,624,619,210,240,281,563,949,383,867,
158,953,627,488,870,555,500,228,289,897,779,049,084,682,907,224,930,367,876,
011,539,184,227,018,945,264,323,230,281,558,208,608,798,774,114,966,021,590,
699,812,765,423,727,959,033,474,005,969,161,650,675,170,867,706,019,914,578,
167,966,585,370,727,581,952,691,875,290,746,823,715,450,523,817,226,607,222,
528,812,247,330,952,907,175,521,446,752,453,976,075,633,950,325,997,948,749,
656,686,983,710,040,681,279,148,865,880,219,936,987,810,290,124,064,374,874,
481,117,714,541,396,872,672,686,616,780,958,786,736,613,155,490,705,428,042,
001,974,447,488,679,565,967,329,807,192,960,266,370,015,439,353,076,196,981,
663,651,830,998,806,512,491,645,638,293,294,448,625,669,514,158,447,616,313,
650,981,535,604,664,138,303,061,131,268,847,347,447,103,893,313,742,119,201,
326,216,308,058,309,267,507,110,192,802,448,109,882,974,491,455,943,357,295,
793,944,954,803,130,467,060,863,887,745,101,500,005,397,566,203,149,600,591,
484,377,499,234,198,607,897,471,163,069,578,502,213,374,011,619,620,227,354,
085,636,492,087,570,827,755,420,769,879,756,771,264,991,991,785,509,918,620,
583,367,105,246,431,726,354,608,935,427,459,961,637,167,285,447,412,497,411,
564,284,573,185,786,099,427,333,516,574,831,873,062,757,161,661,491,527,757,
840,306,871,403,664,838,857,374,785,893,349,067,257,329,024,736,235,187,143,
857,763,770,909,037,789,370,767,265,582,149,036,839,371,923,095,787,187,083,
934,643,895,863,996,630,224,087,882,281,702,178,485,673,307,735,851,489,931,
800,232,730,794,771,393,617,646,780,034,710,842,420,994,550,180,513,182,540,
010,955,804,363,704,608,231,936,864,028,140,627,055,060,106,857,133,212,390,
769,532,682,595,008,170,204,852,510,142,791,109,519,600,288,124,831,966,133,
508,187,030,367,050,180,292,693,915,051,020,425,993,262,654,650,303,718,396,
889,284,840,105,394,119,186,032,892,702,849,344,649,543,587,042,979,902,829,
386,478,872,821,274,688,331,643,256,565,862,908,486,919,077,155,235,657,381,
497,394,848,191,139,047,237,961,228,507,260,664,988,805,731,790,604,883,865,
711,125,646,971,491,413,047,053,631,620,135,435,418,558,691,454,948,628,324,
337,842,305,298,765,964,273,195,439,434,719,991,702,227,513,496,823,478,132,
093,013,393,003,995,929,356,626,775,840,066,515,771,292,463,580,138,467,774,
910,768,968,176,653,428,225,319,395,320,878,902,712,777,197,400,540,396,152,
072,735,255,776,779,078,343,949,420,148,952,569,433,250,219,959,771,793,244,
626,665,653,522,876,537,591,666,038,756,169,903,493,006,605,667,616,732,051,
973,630,223,135,470,696,775,362,764,522,656,063,635,854,323,323,274,161,116,
086,244,760,809,183,667,994,821,356,290,900,776,063,195,272,104,798,122,801,
140,979,205,505,773,853,846,078,282,599,402,118,730,759,938,751,418,882,402,
492,049,183,328,721,007,031,531,162,172,529,574,102,254,869,199,301,361,187,
994,871,998,991,372,105,324,230,762,097,939,113,968,884,152,631,918,252,389,
183,883,554,585,879,077,882,475,070,320,603,969,337,014,027,391,491,199,333,
790,367,315,251,859,228,273,809,198,431,158,431,161,511,655,077,693,891,242,
712,133,533,516,092,461,467,468,098,939,239,180,090,653,183,349,809,790,816,
631,897,674,388,828,633,811,341,254,250,272,482,560,533,802,620,375,320,060,
121,240,426,610,455,880,757,222,355,535,082,095,987,866,340,731,471,825,043,
528,687,949,096,301,152,437,657,709,705,642,584,135,908,365,196,437,774,747,
149,034,846,395,127,175,491,122,285,797,375,574,719,249,874,596,475,763,707,
202,680,975,680,391,068,457,116,720,093,284,120,489,847,240,288,860,775,720,
195,615,568,432,230,691,393,913,791,166,768,167,162,697,126,734,375,923,920,
811,980,963,690,914,155,271,693,888,615,548,784,419,559,772,276,754,825,752,
184,174,299,800,703,078,156,405,079,152,821,597,866,599,437,194,572,035,296,
255,455,540,190,214,509,994,482,862,856,430,923,030,269,794,202,817,749,645,
826,532,643,690,428,603,860,876,622,969,720,600,734,728,052,143,650,347,415,
005,748,676,238,884,451,108,458,612,707,255,821,336,874,084,819,935,188,443,
008,753,462,055,699,418,811,220,602,597,655,372,316,804,871,021,295,152,665,
043,109,736,751,893,999,068,003,865,718,214,993,302,064,384,879,212,210,410,
801,772,583,737,775,792,098,439,771,110,114,933,534,656,425,363,385,854,059,
215,413,577,664,906,124,790,801,518,335,924,094,972,971,330,536,780,451,759,
331,057,249,064,624,096,423,938,035,171,240,306,557,196,440,583,334,253,008,
881,294,404,520,283,205,011,959,115,492,107,968,916,954,836,336,865,761,414,
102,805,148,841,457,382,494,905,702,292,712,697,641,343,974,003,934,211,406,
471,081,128,477,491,137,305,909,016,947,930,391,729,100,502,194,317,328,533,
931,681,405,541,901,012,699,525,697,076,458,140,440,506,915,210,385,034,012,
500,191,301,411,503,298,000,679,806,053,781,891,849,431,689,244,383,728,904,
759,055,374,025,135,322,556,296,080,672,136,589,321,810,736,222,890,031,563,
528,897,972,105,890,393,755,896,630,340,079,119,473,146,907,540,357,846,985,
473,071,896,873,073,871,140,868,072,478,607,521,812,958,611,321,969,302,268,
163,285,761,185,714,035,530,783,580,178,092,747,028,101,275,122,101,303,278,
655,650,764,188,686,225,967,218,714,336,866,079,904,109,039,524,503,098,062,
626,375,905,141,259,271,152,216,341,917,849,366,661,961,069,679,981,866,249,
493,944,525,080,498,870,105,626,888,456,803,095,823,094,688,712,477,688,058,
185,363,231,212,757,256,753,265,655,252,016,158,045,065,917,847,265,261,264,
190,969,972,650,074,503,689,481,889,035,645,173,056,836,198,718,914,364,821,
434,722,747,658,814,281,245,825,796,514,115,030,129,366,422,924,948,783,705,
188,094,006,100,231,450,096,238,972,875,225,539,747,652,199,763,806,693,037,
492,391,403,797,023,744,808,268,037,586,202,128,940,615,295,001,089,154,151,
987,897,242,939,978,796,803,487,696,597,395,882,648,686,929,499,454,021,552,
093,390,295,416,521,538,017,283,865,961,424,178,782,203,181,887,119,681,044,
885,289,920,878,319,393,795,080,832,419,307,755,680,521,403,608,955,913,984,
323,210,307,228,266,169,952,910,107,310,288,601,663,051,308,865,671,107,011,
310,945,702,393,535,028,022,509,439,565,795,414,335,054,990,841,814,370,461,
160,457,760,799,919,197,835,671,850,269,374,685,795,043,386,077,717,392,655,
788,074,334,347,691,606,835,652,611,201,043,682,716,029,008,927,843,980,595,
115,651,371,361,715,549,237,397,199,313,644,559,729,696,257,451,553,437,295,
166,742,893,131,419,152,066,682,003,614,653,589,351,106,962,138,538,396,647,
735,266,994,928,684,813,308,531,814,777,606,380,468,320,495,685,411,285,934,
810,072,322,138,786,224,874,771,246,973,612,604,507,602,810,404,983,905,657,
240,665,552,097,272,767,508,734,755,537,016,113,383,532,860,012,624,870,317,
738,013,985,336,969,282,084,202,847,371,312,676,205,063,921,460,535,860,427,
204,811,866,387,290,498,540,169,612,477,364,741,667,351,911,254,158,383,595,
832,437,937,813,916,071,506,520,063,374,556,905,370,068,747,554,545,054,567,
009,454,577,774,069,449,034,639,871,445,784,345,406,275,632,977,300,440,543,
972,680,777,106,344,320,121,011,349,920,560,379,434,466,701,284,947,830,945,
818,780,043,645,535,547,641,740,475,497,857,384,865,974,154,968,042,732,003,
034,184,249,874,891,089,742,174,191,999,493,706,525,044,198,260,726,392,461,
887,094,817,429,560,597,239,883,800,620,143,232,881,509,672,559,259,026,242,
068,378,103,700,849,548,903,394,095,594,807,422,194,287,070,717,381,669,542,
424,880,443,946,848,334,886,483,417,108,691,503,581,711,844,412,571,015,758,
108,784,652,572,564,299,596,835,520,142,406,267,912,809,928,720,807,130,634,
285,867,927,773,199,584,782,181,564,815,717,530,189,553,323,316,026,623,210,
890,964,540,280,919,406,500,996,115,806,377,590,762,017,077,224,916,801,277,
403,444,026,764,919,032,930,440,558,229,767,797,526,566,024,180,083,236,880,
891,308,016,718,339,787,774,838,481,347,529,841,025,511,470,338,253,270,493,
879,687,039,230,932,116,323,684,717,881,959,837,708,216,826,248,688,722,110,
558,580,227,375,510,009,705,603,109,791,797,481,546,731,248,672,105,803,291,
726,711,822,287,372,011,174,067,788,084,506,018,848,249,817,042,988,496,810,
052,167,066,906,201,689,872,296,729,247,890,262,016,268,814,891,382,793,077,
277,501,920,908,235,122,661,645,883,331,718,000,852,639,481,485,919,706,862,
594,894,977,049,622,833,447,006,418,618,484,025,792,529,929,429,046,944,887,
263,869,269,772,425,717,968,913,907,146,643,695,230,420,241,372,827,957,883,
588,463,331,402,395,500,067,484,768,138,321,716,567,463,489,560,302,360,275,
556,214,409,055,915,388,974,126,645,981,510,073,458,099,363,087,114,511,379,
416,852,382,929,383,064,803,964,597,164,393,786,177,454,128,476,187,576,364,
736,033,557,273,300,307,084,916,693,349,828,850,116,551,230,905,718,086,245,
871,575,368,266,133,893,535,045,274,338,715,300,526,247,249,064,343,981,069,
290,440,257,993,630,118,802,407,443,463,420,717,176,907,015,287,385,514,738,
926,331,867,735,413,984,436,199,405,144,502,768,573,627,178,531,323,869,651,
521,905,688,776,366,524,843,456,671,214,600,236,916,354,579,977,002,960,514,
218,426,705,642,418,999,260,869,494,788,552,846,751,554,554,340,484,315,308,
457,224,825,011,075,754,099,977,066,677,069,776,264,349,689,144,120,952,793,
567,063,450,846,817,915,832,480,032,254,016,811,233,311,927,844,637,759,704,
588,379,382,308,257,407,571,792,858,342,232,271,970,673,449,560,556,166,540,
599,001,090,654,359,496,035,108,864,405,429,635,631,643,283,386,970,196,748,
739,679,891,633,719,205,986,350,323,796,232,547,317,623,322,907,689,235,735,
285,046,391,949,935,182,862,387,465,886,234,537,551,075,495,394,944,547,704,
481,127,908,859,176,069,438,501,570,198,263,231,484,342,896,334,476,900,833,
579,573,019,999,991,808,511,141,908,663,918,834,461,365,907,465,866,290,113,
637,112,835,581,733,174,969,449,528,430,628,944,516,337,261,194,397,836,666,
098,066,789,184,919,427,030,469,803,367,097,860,004,857,296,969,079,881,991,
034,498,831,008,550,561,195,390,584,880,014,871,901,642,008,552,215,007,131,
198,885,384,923,733,977,121,624,496,157,845,097,990,460,051,060,441,981,971,
658,851,039,467,309,094,387,866,067,496,603,694,787,498,149,868,523,785,071,
810,576,517,784,758,484,530,269,435,276,337,650,462,895,266,654,725,161,040,
495,359,299,875,768,337,868,382,038,490,208,979,627,663,367,913,415,757,746,
807,829,073,199,790,588,192,427,565,991,605,438,087,262,319,291,773,294,967,
863,440,368,664,381,628,965,086,879,669,514,411,961,156,562,139,078,754,904,
876,794,908,640,132,852,883,568,424,001,278,591,242,792,283,803,922,808,798,
406,142,035,701,898,388,657,122,114,420,218,486,332,793,543,917,809,808,090,
952,097,249,979,857,949,233,595,628,843,919,031,114,447,762,045,338,403,780,
438,535,964,171,737,713,273,477,366,326,482,358,275,013,620,573,747,445,022,
335,708,671,095,314,204,403,653,717,232,358,507,988,094,637,306,475,012,640,
768,134,904,058,896,363,036,177,239,327,383,958,834,476,140,992,912,299,966,
894,061,083,163,888,580,056,874,504,062,652,149,178,886,970,869,305,607,106,
711,809,411,104,341,621,394,917,929,340,470,833,823,585,047,063,604,890,652,
484,771,474,100,267,993,462,545,950,067,589,107,308,526,104,060,371,516,303,
675,993,363,479,164,335,254,157,570,230,133,920,297,052,258,777,138,949,618,
698,191,039,764,125,931,944,272,640,139,217,946,673,807,071,156,205,145,749,
985,253,275,800,938,777,247,218,227,950,449,573,146,139,594,065,262,792,312,
908,141,973,911,712,991,849,930,021,735,597,022,939,936,226,405,703,921,381,
690,091,273,749,208,286,047,589,419,370,446,259,014,613,106,832,722,946,644,
180,479,394,651,040,361,258,004,257,236,210,003,338,412,876,869,222,653,396,
912,040,547,164,391,004,028,157,467,982,091,668,278,857,310,533,342,089,447,
623,563,678,794,146,541,938,168,784,757,645,659,571,829,831,791,209,847,802,
286,502,896,993,500,622,049,154,139,519,870,905,061,189,162,412,089,475,558,
434,069,313,904,273,902,771,684,240,954,584,666,504,487,797,160,707,498,293,
626,072,036,634,866,946,613,534,743,221,558,005,049,189,805,022,361,522,757,
428,750,717,547,082,362,247,651,449,791,945,114,322,925,158,768,412,563,402,
648,618,094,135,314,353,643,488,023,948,294,693,610,600,497,529,150,514,464,
743,667,245,300,044,648,310,843,182,355,295,511,191,419,571,464,691,097,871,
996,031,463,159,382,361,623,402,007,645,940,091,891,355,597,748,677,944,307,
780,992,050,809,526,552,428,124,326,171,274,412,585,713,317,890,453,758,742,
152,673,668,399,248,501,853,247,391,352,199,139,338,462,526,204,869,829,545,
161,026,469,513,127,031,549,131,958,970,432,968,788,223,179,259,005,329,967,
681,924,182,138,615,925,626,250,062,531,253,386,279,878,248,386,351,596,231,
140,591,553,499,904,560,387,285,557,007,021,938,697,070,886,980,785,945,710,
907,989,251,295,862,237,663,710,543,199,097,566,244,289,519,697,945,635,206,
841,662,931,758,892,757,037,685,349,753,794,580,725,785,013,151,007,703,203,
047,830,804,110,494,427,580,174,591,061,885,612,513,320,057,638,427,073,713,
930,338,665,042,057,039,440,883,173,886,443,808,547,219,317,240,905,041,868,
961,737,666,063,677,030,830,363,073,705,883,699,436,385,133,083,841,210,210,
537,550,524,174,700,366,416,712,135,840,930,098,111,529,833,914,608,927,171,
107,111,914,100,920,597,287,987,984,255,444,528,390,397,919,350,351,427,656,
187,002,491,220,409,188,705,108,688,915,881,512,009,400,014,155,396,943,315,
602,714,439,983,328,749,038,637,043,344,190,873,510,932,535,935,810,149,407,
049,503,487,529,378,903,332,631,210,836,780,484,941,882,709,705,716,145,561,
475,542,393,550,235,878,822,919,965,720,868,203,896,608,994,905,742,857,774,
914,282,464,384,278,190,068,639,423,379,570,860,792,626,229,458,257,819,029,
981,994,342,334,311,949,583,589,206,860,564,631,853,446,473,102,883,669,146,
386,235,364,165,945,809,980,586,239,956,222,117,068,997,119,921,096,747,890,
439,224,040,632,522,982,778,088,193,682,225,401,878,137,862,507,917,792,568,
181,391,329,866,993,697,629,162,942,165,846,289,797,877,334,021,819,291,583,
204,725,148,630,045,820,153,759,115,425,397,664,229,195,322,286,614,581,786,
463,632,132,005,108,408,266,839,601,655,303,617,671,659,548,624,851,466,560,
953,152,278,653,146,187,647,972,221,969,173,876,074,635,080,854,425,468,045,
949,052,493,962,068,121,493,545,658,759,814,073,898,385,989,013,997,136,101,
942,138,642,579,077,649,198,014,167,228,446,115,397,080,987,610,802,868,042,
395,213,697,648,861,337,078,751,357,913,732,657,143,329,675,139,266,918,234,
975,379,543,175,741,216,100,922,777,777,732,190,141,039,753,045,137,459,634,
273,872,218,055,007,367,464,091,916,911,854,869,144,568,691,468,688,279,389,
507,579,435,200,932,667,589,739,747,720,552,256,519,905,148,472,097,614,251,
584,934,601,836,215,642,038,731,835,226,005,138,385,304,504,849,588,734,694,
570,714,073,017,420,092,877,666,955,623,584,044,032,334,376,467,504,193,226,
153,153,520,840,863,619,658,134,616,074,111,303,436,781,789,643,366,001,123,
941,059,416,717,905,093,163,879,526,356,880,123,468,364,446,373,216,189,308,
997,791,681,624,068,428,204,493,543,565,963,801,881,472,872,514,562,637,754,
268,058,770,825,594,744,148,693,347,242,181,902,855,423,763,558,962,280,489,
147,846,601,741,764,575,354,755,376,672,289,019,825,435,416,860,414,127,106,
417,919,940,254,466,604,497,440,319,951,981,528,520,487,486,151,796,877,207,
269,095,129,590,656,602,019,911,416,373,644,420,518,315,233,941,388,147,342,
788,208,800,615,625,916,620,383,277,112,599,035,745,186,286,924,648,259,110,
917,310,185,617,771,709,344,450,700,156,525,195,946,250,807,444,599,399,968,
055,611,574,339,159,112,135,250,387,378,013,471,045,778,732,832,602,524,992,
967,232,325,838,051,990,220,641,004,753,306,007,171,076,079,285,124,246,939,
349,284,754,562,675,138,260,564,218,365,623,388,491,541,122,812,918,653,815,
659,810,994,726,795,248,180,097,362,269,666,847,611,883,912,008,068,041,188,
466,284,017,757,232,095,585,624,331,667,390,107,470,632,841,974,897,120,229,
117,361,043,300,220,119,008,464,993,476,817,450,897,116,897,420,852,322,075,
509,208,006,921,448,755,772,006,235,910,593,460,419,359,475,721,545,882,874,
630,478,083,891,266,177,616,492,098,670,088,783,546,427,076,968,040,112,336,
414,087,795,884,005,916,548,754,070,742,418,800,810,599,693,956,760,962,396,
610,777,250,263,781,302,328,015,189,399,645,169,087,110,597,054,154,281,282,
359,437,858,967,439,379,643,976,298,396,105,933,568,267,321,262,232,906,621,
238,631,973,670,073,721,798,215,703,373,182,043,290,098,268,313,697,974,411,
934,443,815,223,172,643,502,308,513,540,499,554,783,711,295,344,592,034,992,
296,298,010,118,309,266,098,511,274,389,701,048,426,781,967,429,446,878,737,
119,331,304,341,811,159,634,323,805,152,648,264,873,260,135,540,162,023,122,
396,964,240,385,762,341,813,285,262,848,762,177,925,539,447,979,917,602,700,
820,472,030,849,544,787,163,697,109,595,568,429,253,001,685,173,744,887,540,
273,442,326,867,018,583,903,617,384,555,291,090,291,219,921,657,397,492,401,
194,617,541,416,425,919,795,127,752,261,952,572,406,590,046,338,474,830,670,
135,111,175,448,543,675,376,233,128,343,172,468,013,567,452,521,064,019,671,
321,920,949,288,915,088,950,926,451,105,745,658,156,586,760,775,713,561,657,
449,652,879,400,072,667,350,263,179,373,827,421,302,133,409,250,913,335,020,
289,568,568,741,583,003,212,763,959,056,197,675,809,642,949,474,205,350,762,
126,858,168,498,022,306,178,268,108,148,901,029,223,388,085,009,377,734,312,
718,055,289,898,779,394,833,935,986,882,540,335,682,307,628,573,977,418,340,
052,627,409,483,664,921,648,812,473,647,151,360,694,092,778,971,942,656,165,
714,928,183,067,264,163,183,967,559,024,805,295,498,549,583,154,407,874,669,
859,468,101,779,633,850,924,342,378,860,695,683,224,863,213,230,006,675,583,
367,915,877,404,556,825,649,697,035,904,746,571,437,526,436,672,763,256,551,
367,757,250,580,629,038,352,726,827,979,108,273,404,494,082,463,440,974,250,
044,053,860,444,686,408,522,766,123,602,423,228,342,175,863,534,830,492,474,
446,591,972,563,697,130,323,820,107,562,900,597,247,651,276,020,367,331,121,
689,371,514,131,190,908,889,123,526,280,333,508,160,128,192,219,600,176,221,
654,854,833,436,027,503,460,691,843,718,925,252,186,593,273,250,923,557,708,
138,110,517,195,363,605,134,438,101,872,075,226,812,898,600,984,403,261,685,
915,365,566,395,635,766,744,343,062,122,809,618,824,748,417,356,997,431,866,
439,494,546,285,499,570,779,203,054,214,345,264,156,746,175,365,914,714,882,
532,616,238,004,274,061,417,496,492,108,192,201,097,059,963,792,024,873,352,
992,272,553,044,852,968,800,441,058,751,515,631,638,676,294,935,037,651,679,
346,758,017,592,504,629,939,301,989,968,713,219,853,531,147,842,227,236,110,
718,238,271,722,408,978,318,520,705,247,340,189,123,197,191,680,657,220,801,
272,921,288,433,194,923,266,513,022,872,249,544,619,938,554,547,376,082,900,
535,775,759,347,678,836,740,529,751,763,447,909,032,142,883,177,839,976,118,
030,908,136,133,468,917,956,927,520,794,784,592,448,241,983,694,730,012,429,
106,003,251,381,927,155,041,575,176,672,544,184,490,476,225,114,652,584,184,
882,711,455,139,111,292,059,215,219,626,559,054,704,537,284,385,833,640,703,
749,639,451,665,648,013,563,625,935,649,926,164,941,972,547,251,052,924,067,
063,397,610,872,427,678,584,910,615,228,955,044,328,872,148,868,926,483,192,
945,037,591,460,031,303,496,486,495,255,873,832,193,287,742,690,282,420,106,
698,312,685,697,884,860,351,001,762,193,167,327,491,862,346,355,455,011,905,
822,302,902,077,373,545,325,078,249,984,535,412,933,927,500,998,303,396,965,
812,721,423,414,055,199,367,619,392,610,508,113,080,394,180,400,484,707,019,
661,053,187,665,622,176,092,064,037,879,044,962,277,375,058,913,967,522,403,
418,623,251,574,821,577,459,426,136,097,234,991,027,866,077,107,764,551,250,
817,716,873,400,636,074,413,754,997,641,109,591,030,059,540,211,134,482,117,
027,822,576,981,821,048,497,801,268,645,298,973,171,432,747,941,845,703,839,
305,758,202,925,712,187,443,413,744,015,224,519,508,955,100,239,167,809,248,
267,737,826,840,029,065,143,432,042,922,922,163,455,188,292,022,068,197,924,
427,238,304,574,633,581,993,483,672,022,246,642,245,607,525,434,915,871,538,
434,445,201,462,669,940,377,352,170,280,322,199,630,855,455,737,636,676,946,
798,097,170,567,759,074,447,297,006,885,842,141,519,878,618,152,190,082,988,
589,661,560,895,381,604,781,386,816,634,125,375,603,366,687,877,559,078,926,
083,230,929,460,607,574,742,969,035,353,535,067,325,230,828,764,158,378,588,
585,978,107,979,492,032,824,853,423,707,800,705,230,299,107,894,069,067,741,
577,481,761,914,202,418,400,710,037,019,929,995,302,408,314,557,402,122,908,
397,266,754,596,492,247,526,052,378,060,194,291,258,083,464,807,054,367,894,
790,791,078,829,677,128,607,091,273,994,268,560,695,137,171,317,986,622,235,
326,040,691,986,727,943,382,652,206,050,852,514,017,899,582,039,793,696,891,
751,165,232,255,168,536,975,027,234,715,659,727,382,938,227,404,081,130,965,
604,517,010,562,712,954,390,923,177,895,818,195,241,748,676,029,905,541,142,
735,210,058,137,274,599,323,682,393,542,862,697,567,579,072,368,579,550,125,
188,993,580,578,495,448,160,372,547,449,770,174,852,696,743,116,612,551,117,
396,052,038,061,499,819,814,234,006,436,627,004,591,257,747,535,368,169,620,
999,787,452,849,812,859,475,341,645,763,349,758,191,213,148,151,128,945,024,
264,948,463,653,738,911,561,363,229,459,872,648,776,586,609,589,444,604,249,
307,015,454,347,440,014,308,501,716,925,670,282,479,359,574,196,077,121,068,
702,146,794,842,093,131,564,059,367,103,564,474,968,428,553,423,122,599,377,
221,876,226,508,425,303,136,168,698,013,490,169,883,061,737,017,705,250,422,
072,845,214,931,989,637,870,967,402,225,076,128,358,369,274,350,338,094,690,
205,160,775,426,877,065,129,818,740,775,362,323,717,185,675,448,735,114,999,
277,186,819,954,378,133,240,437,134,919,832,675,554,241,076,556,300,914,915,
297,969,119,024,604,997,402,923,421,043,173,655,259,474,179,217,324,841,084,
808,345,081,813,452,891,748,553,283,360,002,667,797,625,368,189,906,557,354,
088,316,868,565,582,744,747,044,854,215,280,621,585,233,859,409,533,312,283,
602,009,123,072,617,367,074,247,097,707,024,441,793,928,175,422,186,385,242,
513,571,397,495,663,040,905,089,088,957,453,214,669,357,935,796,684,826,462,
943,399,703,504,952,923,407,780,927,140,842,946,427,761,743,663,822,234,763,
598,299,650,100,298,565,950,849,041,222,643,556,065,086,543,311,230,603,998,
161,537,293,488,717,455,868,781,702,216,764,143,464,172,996,079,097,677,990,
709,972,340,916,266,257,833,759,950,958,291,608,643,477,879,839,215,908,334,
910,058,639,521,350,018,070,586,775,207,396,864,307,820,469,025,366,745,728,
957,977,829,654,020,141,353,766,574,683,517,800,683,165,227,478,422,417,740,
820,526,244,229,147,183,724,700,372,500,953,362,930,930,840,843,904,070,115,
672,870,638,238,195,585,485,353,497,692,589,728,284,304,175,493,486,157,847,
771,585,238,259,401,078,513,708,674,695,504,007,626,600,335,811,286,582,957,
965,176,520,999,614,115,659,738,176,186,900,349,364,436,676,396,145,894,925,
444,041,395,218,777,660,738,302,104,128,780,964,906,277,268,716,090,223,209,
134,793,858,678,495,868,245,653,967,273,917,315,730,959,683,234,237,431,942,
404,026,748,774,165,036,638,994,755,851,769,511,347,148,447,933,778,534,258,
160,313,536,871,095,141,057,167,989,991,981,072,114,833,382,476,838,022,972,
202,673,111,314,359,879,270,298,863,208,872,810,785,527,939,868,183,631,294,
615,398,956,551,522,060,870,255,985,440,794,411,233,388,035,601,287,086,120,
080,848,803,057,194,482,877,572,457,149,996,977,192,045,428,918,067,676,457,
721,017,208,850,939,663,798,371,228,948,602,422,591,762,036,717,289,357,155,
100,849,660,942,920,470,811,773,080,624,601,105,624,403,368,284,651,290,856,
611,134,858,192,039,045,925,585,402,766,114,869,820,647,600,999,308,768,560,
727,124,659,168,697,896,203,410,024,145,939,703,225,937,732,879,613,998,385,
764,713,688,973,245,075,119,177,909,111,764,040,803,679,318,000,692,220,125,
537,519,667,595,375,044,066,002,829,517,215,711,138,559,825,449,796,767,647,
509,975,393,596,348,748,464,172,838,472,152,897,424,451,571,925,839,062,400,
261,918,114,646,887,313,816,507,691,583,859,049,610,142,132,209,327,020,176,
866,908,337,717,238,960,028,915,327,812,645,372,653,726,996,197,879,499,866,
453,380,958,351,339,389,698,886,993,197,707,696,282,893,563,446,930,438,846,
534,845,497,357,075,057,979,281,072,656,066,629,215,504,819,964,763,401,341,
984,538,627,592,599,126,766,846,746,253,788,361,115,472,581,774,984,762,960,
489,084,233,824,623,456,545,407,469,525,427,439,274,563,455,042,392,140,490,
409,616,296,790,508,722,262,038,722,736,495,538,911,143,110,289,240,359,149,
116,235,248,922,748,970,443,792,648,883,190,984,902,164,883,561,584,816,572,
413,151,583,304,480,585,044,752,642,151,657,303,281,377,603,238,313,846,712,
266,987,739,460,937,599,261,787,215,245,908,208,665,004,192,902,731,181,594,
887,473,086,288,404,783,471,299,748,928,853,739,183,799,008,934,807,081,715,
375,513,329,442,089,448,708,283,590,502,060,935,779,894,988,646,235,686,276,
046,792,088,328,903,857,479,819,101,492,673,010,794,448,454,800,681,463,872,
121,972,886,631,244,540,379,284,086,290,354,468,842,835,261,332,451,883,214,
927,865,174,997,163,767,457,973,610,246,847,741,183,309,367,527,326,390,038,
218,629,334,922,651,566,737,518,730,076,969,998,851,643,467,158,693,038,530,
051,725,562,307,536,303,471,394,536,102,617,162,536,889,654,307,744,519,921,
769,378,573,486,634,123,356,155,071,314,048,753,011,658,364,820,870,584,264,
732,440,421,052,768,787,694,979,526,939,261,962,112,876,569,862,223,419,107,
955,815,872,113,549,825,137,864,058,430,793,003,626,459,256,553,007,873,991,
629,959,155,890,553,939,147,938,772,455,842,727,684,730,963,412,846,628,790,
632,699,741,210,203,399,260,972,279,187,113,608,918,004,653,814,869,634,719,
803,788,278,158,342,629,239,271,666,122,520,929,599,742,012,328,651,323,747,
383,701,080,344,700,608,978,409,157,423,409,771,027,274,178,755,306,057,476,
890,428,564,640,579,055,797,492,728,384,066,448,499,319,044,685,241,466,618,
411,160,235,245,542,422,842,107,404,388,950,397,195,048,412,664,183,680,092,
186,255,728,457,495,059,140,205,440,677,514,903,425,704,909,115,442,846,147,
494,697,984,673,526,810,903,041,422,947,942,485,059,452,389,620,491,439,727,
085,304,292,679,249,801,416,048,647,741,956,059,150,084,494,699,285,996,831,
680,745,962,817,530,792,851,429,471,004,362,927,791,564,149,544,409,370,277,
196,306,466,057,978,078,371,066,145,870,899,304,670,048,209,012,290,995,761,
553,798,285,240,880,086,830,653,583,593,801,993,100,368,254,785,579,408,378,
655,910,452,513,327,695,171,465,232,895,557,869,910,695,909,738,947,622,898,
459,019,115,997,145,465,565,757,331,867,870,009,336,610,158,543,350,320,322,
601,837,846,313,779,495,929,997,528,220,831,538,176,068,458,438,523,396,231,
355,917,746,872,707,309,852,053,650,552,398,593,159,362,772,985,304,658,224,
621,393,021,373,779,822,278,942,202,678,793,328,475,360,742,109,067,599,872,
383,845,290,606,891,618,379,029,610,585,055,303,309,434,640,342,306,929,514,
451,212,316,968,420,692,962,149,087,701,774,233,982,751,278,975,180,563,055,
624,631,598,099,439,194,118,338,728,802,364,503,807,789,074,949,820,841,554,
185,738,375,562,675,104,679,052,165,458,270,427,913,997,535,732,731,428,668,
448,697,906,521,159,000,459,925,701,993,989,465,610,759,430,629,758,322,768,
664,981,147,439,242,203,052,476,503,876,701,642,650,100,666,278,571,201,876,
107,530,605,051,245,619,377,556,779,808,412,379,573,249,666,259,905,440,950,
916,653,065,456,398,722,249,089,580,111,337,559,738,345,975,342,934,776,692,
618,773,807,172,021,656,814,509,785,127,932,894,178,109,091,751,964,570,564,
563,937,015,086,234,552,135,008,722,271,641,001,323,685,988,409,738,756,902,
848,386,033,202,640,340,622,604,058,793,512,399,040,135,090,946,613,726,482,
941,305,716,965,747,391,410,270,083,575,898,382,010,077,621,809,795,409,252,
764,737,411,573,677,219,722,785,123,797,636,920,565,775,263,393,754,877,161,
556,502,503,742,641,690,339,490,260,960,858,323,068,859,046,663,075,068,908,
537,966,253,917,859,094,865,016,713,071,566,261,169,068,146,531,661,867,988,
575,836,187,825,266,143,259,386,708,319,189,724,414,985,641,247,453,046,572,
533,361,790,263,439,900,637,341,726,952,061,703,070,363,331,751,343,609,507,
418,614,013,705,438,692,535,597,850,785,325,271,234,306,493,872,847,480,142,
238,228,295,745,408,205,424,364,901,076,078,626,126,239,099,851,658,826,501,
841,646,936,872,287,415,241,275,654,653,095,500,317,713,897,534,663,772,067,
755,749,290,294,938,111,764,618,936,317,681,286,818,296,947,273,956,701,424,
460,996,206,816,875,211,964,046,765,827,004,604,778,855,793,784,776,715,275,
188,306,051,397,302,403,357,495,280,511,577,569,758,325,569,300,833,981,511,
613,350,108,556,191,817,390,183,886,750,013,951,196,721,644,070,534,110,441,
666,975,926,290,382,320,411,418,296,674,336,496,793,447,576,805,305,979,414,
758,372,790,321,311,283,717,125,986,343,634,612,354,132,080,476,986,222,162,
005,288,816,611,445,321,403,137,356,093,738,138,254,427,976,704,184,935,641,
375,957,479,581,161,240,136,384,848,023,528,041,273,134,199,894,306,099,001,
661,646,553,812,685,017,899,104,756,129,300,398,156,825,572,069,471,207,276,
409,368,079,050,498,859,023,757,194,404,126,576,309,658,953,554,861,732,525,
917,619,367,199,964,440,348,215,389,571,296,243,137,561,126,295,455,415,805,
724,577,775,806,042,554,802,013,168,691,753,207,149,493,861,765,571,704,015,
602,358,340,488,649,273,903,100,918,209,462,079,111,772,500,431,513,414,192,
354,555,320,521,269,237,774,570,834,174,631,703,071,369,944,115,248,948,490,
387,645,072,609,824,765,995,346,410,229,876,824,468,132,163,062,402,952,657,
277,028,627,559,949,102,340,837,662,872,480,486,458,987,235,458,852,711,690,
414,656,082,045,535,428,332,645,163,275,118,187,292,815,535,432,451,274,343,
698,233,925,601,694,305,927,555,165,064,944,872,808,221,340,481,649,317,158,
979,206,151,624,716,735,813,458,714,373,862,950,754,361,601,214,438,288,672,
896,562,919,915,781,254,120,274,871,234,241,709,381,752,706,335,922,951,588,
388,552,706,225,450,350,401,652,712,390,053,895,088,913,078,289,724,848,445,
852,066,136,038,329,010,193,567,211,871,220,211,896,880,997,890,015,536,098,
966,844,659,206,728,406,949,925,212,914,264,509,347,104,972,681,389,645,329,
374,466,197,096,948,834,127,078,419,371,959,220,067,768,051,202,033,322,195,
880,340,916,905,872,711,086,614,350,867,184,743,330,170,119,264,867,537,292,
217,536,432,557,477,743,984,362,431,052,037,659,849,974,325,583,185,976,589,
799,422,568,385,112,804,731,055,100,287,693,329,026,189,023,627,635,086,268,
478,820,291,947,206,360,959,901,543,661,792,893,123,047,059,010,335,090,205,
114,258,486,227,901,877,068,165,033,545,649,175,231,405,567,410,378,272,419,
555,099,737,585,054,244,122,434,447,858,432,533,378,623,835,748,343,270,453,
600,570,555,078,481,947,406,658,076,715,473,945,099,081,254,829,429,377,534,
057,439,708,866,129,806,438,518,596,795,634,387,479,382,743,545,643,921,449,
789,285,953,846,535,023,797,496,127,306,118,703,424,524,160,415,676,648,453,
124,269,978,394,765,951,657,723,962,522,033,798,001,594,329,649,104,945,812,
838,820,208,829,232,359,240,036,955,804,043,616,735,375,145,820,222,191,239,
417,166,205,481,763,409,489,314,474,377,175,284,342,802,185,185,502,138,331,
401,405,867,457,263,507,089,858,407,289,283,353,438,581,924,233,201,044,303,
273,068,253,434,747,923,994,501,379,475,571,016,383,465,268,033,029,930,257,
403,121,633,404,956,590,130,566,501,522,161,844,788,336,452,401,134,384,599,
088,137,338,270,391,013,334,141,746,978,591,414,471,374,693,720,295,240,569,
086,401,962,971,180,024,628,646,175,271,829,646,351,326,428,360,288,164,962,
979,697,623,852,177,695,602,256,543,163,771,557,041,715,994,276,808,460,992,
997,300,314,984,701,207,758,706,643,987,584,190,207,771,133,742,410,156,692,
126,619,993,298,818,207,042,875,819,471,967,151,360,672,295,991,036,980,464,
973,177,140,420,832,088,371,442,799,106,985,208,843,637,671,826,922,610,806,
731,650,294,893,461,067,405,389,151,916,674,496,602,631,446,698,249,204,766,
636,289,362,531,070,749,602,754,118,287,764,061,429,094,051,466,557,457,581,
719,501,989,034,964,267,858,444,488,781,456,081,381,370,800,516,255,959,369,
036,547,923,033,478,113,284,226,307,324,135,549,129,495,733,079,161,904,458,
959,768,862,824,319,957,340,397,776,809,992,159,007,811,548,727,848,261,308,
581,886,265,696,500,331,086,543,360,173,366,034,744,523,216,957,598,385,862,
669,381,847,541,128,322,212,012,208,718,472,315,568,699,945,504,784,970,796,
664,218,917,874,845,781,264,917,628,335,833,780,086,975,051,933,746,609,042,
401,471,161,198,836,834,056,297,699,576,624,078,496,901,150,819,953,493,678,
542,955,696,950,531,610,103,994,614,491,697,804,587,332,039,757,943,397,873,
548,352,369,102,459,397,052,532,759,978,897,387,938,720,332,342,568,148,398,
518,146,628,606,656,584,897,484,229,471,632,825,473,026,687,146,146,828,775,
244,809,244,085,909,655,095,792,654,908,186,662,286,045,526,186,380,299,215,
267,087,056,737,537,876,748,623,301,971,978,490,601,086,945,145,025,954,384,
603,967,484,720,523,073,154,283,497,529,561,791,932,768,412,183,851,760,036,
739,773,194,876,232,845,346,089,664,158,195,082,840,660,751,008,464,697,543,
215,336,211,158,971,928,091,255,386,663,466,992,060,505,693,284,723,794,031,
609,398,159,354,611,644,411,994,376,823,391,018,590,213,670,114,893,177,213,
508,669,783,333,170,133,940,570,292,219,671,749,767,696,690,953,126,078,480,
160,110,212,834,228,392,357,608,572,228,935,055,541,560,100,115,215,131,239,
315,633,035,186,153,263,310,864,835,061,259,817,922,644,558,081,913,974,712,
296,067,889,478,400,806,833,314,790,860,595,130,505,052,090,960,481,265,795,
983,353,396,390,201,924,177,212,130,379,460,633,424,366,341,520,165,630,217,
854,925,739,634,841,164,100,840,176,372,834,529,739,549,876,729,699,509,453,
754,672,049,756,119,981,385,556,430,513,375,451,854,970,516,421,303,598,927,
275,049,553,515,029,017,546,251,049,935,351,969,023,352,040,618,855,354,540,
181,706,668,232,784,385,912,259,994,496,510,174,006,185,894,067,039,276,249,
563,532,117,387,686,718,877,038,427,881,402,432,478,932,645,075,182,915,017,
921,690,182,325,729,646,642,785,963,464,239,573,500,195,103,175,147,540,638,
236,526,218,722,107,483,265,081,084,084,820,915,499,912,466,669,445,201,075,
024,224,210,319,330,982,765,392,111,909,113,156,886,476,744,880,960,657,527,
143,676,631,551,139,908,195,763,468,304,027,492,716,202,280,797,686,419,605,
825,296,326,055,604,182,059,931,582,479,434,393,931,708,624,495,306,757,267,
436,955,393,897,601,258,962,675,954,538,677,064,064,712,080,287,117,382,246,
348,317,878,496,011,346,756,910,781,477,494,771,158,389,835,590,009,322,657,
902,596,398,395,596,228,431,744,834,497,432,527,877,852,112,473,903,687,014,
215,552,614,668,764,808,536,237,257,725,833,574,933,428,233,188,550,219,367,
881,113,491,851,528,138,232,475,390,624,863,906,907,138,701,736,452,328,030,
709,698,577,903,980,192,256,282,386,090,875,762,710,591,271,189,702,045,572,
652,806,364,335,149,742,332,315,879,829,564,320,594,118,517,113,135,739,994,
343,689,028,868,048,200,036,669,722,055,699,770,615,294,175,532,700,041,636,
363,734,088,624,708,885,047,009,251,163,621,138,651,205,861,397,479,280,967,
134,927,221,551,416,922,512,162,728,199,506,686,692,227,035,915,079,119,473,
678,693,001,977,214,585,057,750,574,943,244,721,733,094,415,819,018,600,760,
178,425,957,875,248,820,103,943,154,339,531,621,019,417,597,136,537,909,901,
612,169,644,050,513,366,298,581,116,736,598,350,226,672,157,424,046,256,594,
249,593,978,432,014,590,752,589,382,751,481,611,334,354,703,857,129,055,982,
455,854,386,694,995,466,371,747,150,895,493,794,860,432,839,201,188,137,035,
592,234,783,020,282,682,461,119,450,053,793,343,709,761,244,520,344,707,950,
034,982,358,539,147,103,151,580,496,620,699,691,972,025,122,774,689,056,352,
520,397,200,189,622,811,715,812,618,846,420,367,187,357,071,381,473,737,032,
306,110,740,766,266,665,247,154,741,304,805,720,564,576,706,662,057,845,797,
126,755,458,742,016,249,513,954,708,372,793,852,653,333,691,619,361,995,393,
260,425,449,763,357,348,435,596,438,327,269,611,986,662,789,250,838,008,662,
771,475,473,997,697,076,109,684,600,972,548,465,488,175,533,350,279,730,172,
077,319,369,241,970,870,150,244,599,590,729,585,471,386,661,690,190,846,045,
421,400,929,409,636,131,513,805,211,289,899,810,970,894,021,641,342,292,951,
303,365,108,100,010,706,798,719,061,828,216,195,975,982,538,791,654,277,453,
509,647,566,936,370,852,017,117,034,715,975,320,211,182,532,266,018,595,718,
846,098,341,575,953,507,765,197,751,627,185,555,696,349,776,623,258,285,213,
703,683,820,866,116,604,240,335,284,709,449,692,304,830,470,026,736,984,520,
744,206,455,276,983,481,223,991,708,094,880,593,066,878,736,249,744,083,506,
969,300,346,774,326,360,361,339,949,209,260,157,303,940,373,418,007,481,090,
426,497,240,785,336,759,747,233,352,792,477,298,649,951,802,958,659,620,444,
651,742,540,785,487,833,165,148,818,292,699,264,223,346,905,006,826,517,211,
863,008,118,506,106,279,622,963,452,502,254,603,580,760,064,319,070,415,734,
716,895,170,693,061,287,067,891,274,022,233,477,435,914,563,366,070,172,667,
607,891,523,791,133,849,618,791,822,915,968,841,817,475,219,531,130,088,121,
274,346,538,457,754,861,316,043,006,299,771,650,353,336,901,812,020,382,944,
803,352,721,687,577,805,642,885,799,753,741,828,229,102,627,449,920,063,826,
468,721,070,674,442,616,099,198,697,516,658,763,117,080,363,191,995,613,587,
067,677,355,360,917,504,513,788,947,277,586,502,998,872,590,401,389,941,275,
384,629,127,297,391,781,000,006,505,453,878,425,619,222,556,874,475,679,377,
863,483,845,137,656,857,526,879,284,264,050,237,167,487,341,394,788,193,129,
260,164,012,628,253,994,964,339,852,606,672,313,932,506,107,238,761,569,051,
749,963,907,258,726,523,875,842,925,182,311,004,387,332,869,272,150,466,403,
114,091,834,116,463,653,862,384,528,393,008,416,370,206,602,988,559,293,231,
449,255,343,468,505,154,012,470,564,152,825,088,068,725,114,109,038,275,179,
371,708,144,709,846,884,078,210,057,556,528,788,110,007,111,327,648,109,113,
100,384,378,609,527,167,224,653,230,873,992,987,011,722,612,056,037,341,390,
999,523,383,634,321,443,262,388,805,306,942,807,715,231,848,384,024,489,964,
060,617,608,382,623,917,687,582,677,716,857,178,207,559,212,698,488,968,433,
392,403,435,889,342,919,982,242,171,045,756,665,569,380,266,441,732,816,002,
188,955,876,121,982,107,373,610,875,692,231,699,663,048,631,809,757,542,914,
015,338,382,295,848,769,818,302,391,567,296,649,850,973,229,146,121,003,876,
470,600,357,439,141,748,388,903,082,702,995,669,646,004,453,016,786,033,479,
842,550,719,698,313,167,150,788,107,466,835,564,563,268,116,354,342,671,570,
945,722,991,750,627,257,805,797,126,809,420,095,042,954,284,949,204,714,381,
808,359,528,163,759,897,569,561,900,592,264,906,136,173,425,058,453,321,771,
858,189,555,932,548,615,434,750,679,782,120,648,719,310,452,713,467,117,989,
174,740,028,503,613,368,171,488,098,292,980,981,168,325,297,109,028,982,563,
361,148,667,079,752,830,907,604,314,207,945,865,732,289,405,518,237,427,778,
425,649,023,773,476,872,923,067,116,734,858,573,287,577,559,809,110,984,716,
040,324,632,582,957,222,187,562,742,684,771,885,156,089,702,665,726,721,454,
610,001,976,391,505,640,393,957,848,921,530,662,499,852,440,122,247,963,125,
114,205,017,372,102,667,020,387,926,440,285,229,116,759,212,458,726,837,201,
511,230,478,341,500,685,582,674,395,454,770,298,858,271,929,858,961,579,017,
070,994,086,219,401,604,720,248,258,086,569,674,980,917,959,281,544,098,981,
337,487,065,000,819,196,445,505,616,022,074,295,489,798,501,373,400,053,277,
071,436,447,652,562,030,276,946,366,252,596,503,627,890,310,475,860,711,794,
700,624,747,153,903,093,083,719,659,025,485,221,633,506,316,266,117,076,873,
043,692,652,948,130,298,774,418,315,171,724,825,877,076,543,042,833,194,694,
002,829,485,138,636,028,524,616,078,686,466,631,990,332,177,013,570,693,253,
410,562,553,835,448,411,276,232,387,544,259,610,962,818,960,052,247,589,413,
856,303,056,680,820,732,482,528,125,017,311,543,316,887,420,807,092,910,881,
472,891,661,262,331,173,807,717,251,227,283,308,438,359,796,065,572,418,103,
676,775,433,348,412,527,996,159,002,298,167,204,505,256,956,005,581,384,235,
870,548,008,502,644,902,165,592,782,184,889,468,371,793,520,535,403,774,411,
012,785,326,545,863,563,046,566,931,351,851,345,175,748,380,120,323,390,003,
552,003,669,007,490,698,351,686,651,590,969,695,955,712,544,296,416,368,822,
735,128,926,659,219,758,724,700,091,693,603,936,287,077,232,789,062,744,804,
869,385,364,670,216,169,281,708,492,142,295,324,182,612,055,079,522,199,044,
526,976,750,470,005,706,780,975,954,251,352,091,731,942,779,399,898,521,543,
213,413,784,475,886,714,575,217,208,422,718,115,557,771,620,793,062,170,020,
958,606,596,552,621,968,922,612,269,331,013,550,905,861,655,624,501,111,328,
117,214,104,354,505,217,845,661,727,390,320,836,855,860,542,412,542,178,716,
801,707,557,148,811,509,900,139,706,480,545,543,114,494,333,517,227,981,376,
294,602,453,170,493,167,905,291,542,492,994,424,290,501,675,062,316,644,964,
652,722,697,001,665,163,008,130,424,203,923,933,522,430,581,281,852,896,747,
404,432,938,523,825,347,868,162,585,720,113,261,958,241,287,166,247,980,403,
490,234,605,909,412,435,145,458,520,502,972,189,065,731,574,440,123,015,480,
209,614,982,421,753,035,463,371,320,464,688,372,541,513,449,327,441,682,905,
357,321,658,806,047,140,860,420,530,312,479,711,635,684,619,376,634,481,885,
746,468,989,331,869,636,887,297,035,918,818,070,975,697,363,680,804,324,197,
038,930,050,497,845,854,010,052,821,730,130,724,355,095,999,288,280,487,677,
189,431,825,880,732,191,911,345,909,478,314,460,205,123,958,939,000,929,551,
408,418,095,292,945,667,999,249,639,660,847,485,679,851,759,988,835,646,105,
926,085,147,306,563,031,653,244,533,316,946,521,482,732,671,038,007,032,124,
707,107,054,387,430,170,644,902,280,011,815,653,128,983,835,725,244,730,057,
502,543,963,343,722,912,180,806,962,692,878,523,446,334,080,319,827,295,489,
493,721,300,627,713,966,033,008,241,867,767,582,691,568,831,426,804,997,413,
463,842,744,694,466,787,432,629,868,049,786,772,653,379,692,394,854,171,811,
880,603,802,290,776,591,880,037,238,286,332,416,908,025,826,432,726,306,775,
268,347,526,755,873,837,918,364,028,834,102,615,865,419,523,602,320,607,589,
399,728,930,951,922,478,765,599,587,229,017,997,392,832,264,381,627,753,400,
220,785,670,089,613,948,666,480,042,005,952,459,832,120,579,745,368,874,182,
394,895,662,662,526,091,677,383,224,881,556,885,997,766,204,801,476,158,481,
980,685,874,771,264,039,979,244,083,227,293,688,592,725,671,952,714,465,223,
022,264,240,774,093,701,934,799,187,781,323,980,736,838,954,802,354,880,645,
037,869,793,621,835,268,842,293,145,145,363,839,058,242,401,056,189,258,298,
203,306,111,859,039,832,312,769,186,509,450,463,320,075,590,760,684,454,221,
616,303,976,766,931,994,665,626,840,922,715,566,203,541,223,403,667,212,154,
962,510,247,907,023,489,606,141,095,472,970,626,461,005,039,162,558,364,214,
038,746,832,229,547,993,566,404,859,879,730,725,857,293,791,541,857,526,636,
763,601,205,792,510,129,676,642,194,338,204,638,862,542,375,198,531,832,001,
975,978,855,241,426,708,280,200,897,296,118,317,124,696,122,066,695,239,140,
428,289,948,073,827,735,910,185,189,441,470,036,740,279,146,258,217,526,431,
033,672,871,886,913,334,476,928,604,398,564,012,711,887,418,112,855,143,078,
079,359,083,012,342,251,135,099,424,110,719,918,862,251,984,832,579,604,822,
973,716,421,193,308,501,737,670,333,315,614,099,848,990,652,890,011,907,346,
081,318,076,920,478,023,817,367,774,163,696,141,868,379,421,497,367,806,120,
816,771,581,944,972,388,727,529,567,077,301,747,584,022,411,158,878,937,376,
805,091,946,245,342,185,089,178,469,283,527,209,979,903,094,673,212,975,500,
884,481,960,822,393,104,521,415,907,702,300,224,303,958,817,456,793,159,627,
149,759,619,961,310,305,273,183,914,220,918,787,307,847,133,342,409,569,109,
656,851,451,127,321,059,489,159,751,236,130,516,919,345,448,581,253,446,160,
813,677,348,231,050,982,997,975,130,816,334,923,592,277,010,647,724,303,350,
469,233,482,275,876,831,635,071,037,864,190,218,614,349,388,332,011,245,818,
211,243,222,986,463,611,485,038,342,959,986,951,103,923,298,730,406,764,528,
199,689,891,142,023,424,174,446,857,065,030,432,313,231,719,554,699,183,473,
510,993,620,533,636,149,788,175,354,289,490,790,412,319,732,069,475,408,364,
769,097,944,863,434,932,654,514,048,988,588,300,293,677,238,048,492,539,275,
597,386,306,922,340,175,244,042,893,119,837,258,532,350,115,371,875,095,147,
992,214,238,697,315,622,274,104,007,175,341,112,464,867,642,039,730,460,805,
416,616,025,284,106,170,215,168,411,073,700,841,134,217,796,213,867,266,553,
649,771,591,213,904,450,955,139,931,193,042,747,389,754,105,249,181,710,383,
631,805,122,746,034,915,183,190,563,726,030,345,102,471,303,203,257,715,777,
662,013,749,995,918,757,675,309,020,040,762,475,747,784,693,527,059,447,042,
522,676,001,285,230,570,940,444,545,092,955,298,152,233,390,515,026,091,902,
044,117,850,520,668,541,909,366,824,047,484,218,498,550,657,161,926,128,191,
330,422,674,847,472,576,601,219,836,498,255,733,545,968,944,842,222,981,454,
721,556,122,077,338,186,725,591,701,035,390,311,423,669,066,369,809,789,897,
751,249,062,970,936,016,023,347,265,347,297,920,510,860,254,418,145,479,028,
790,146,106,125,413,449,162,285,661,090,782,398,492,259,105,988,972,225,242,
944,665,464,899,732,437,268,228,038,738,268,913,644,266,844,511,979,786,653,
653,161,894,961,537,796,439,387,219,244,201,658,527,774,088,774,675,995,598,
625,676,363,247,903,372,735,739,416,166,805,842,475,071,787,196,564,232,511,
438,605,084,568,237,228,522,452,243,096,314,969,688,025,295,706,789,121,552,
431,986,628,818,665,644,490,341,641,784,952,006,070,091,469,554,098,837,070,
265,439,071,489,336,457,577,264,346,003,863,528,057,287,657,328,199,202,191,
022,487,526,456,113,411,333,560,619,909,678,546,786,410,307,128,867,905,068,
956,907,706,188,440,640,501,376,577,547,571,001,691,668,602,459,770,222,673,
728,594,419,390,485,259,603,559,795,054,901,676,165,659,605,993,008,006,724,
869,900,870,699,202,876,304,306,149,070,110,012,419,290,482,797,398,961,512,
108,800,527,227,027,309,894,853,828,752,271,097,185,626,799,971,217,077,381,
142,728,733,460,201,361,841,483,202,775,251,480,563,780,382,917,927,545,028,
770,919,008,952,781,587,601,209,902,875,970,091,558,595,074,059,501,561,797,
665,538,166,948,600,474,746,400,641,115,297,376,864,174,201,172,419,160,289,
656,913,865,105,055,796,591,362,785,377,234,361,740,074,727,540,419,134,147,
575,229,810,146,152,718,091,350,423,864,451,757,855,122,815,376,133,991,676,
264,540,636,289,977,605,784,570,179,401,728,172,740,296,027,827,375,919,820,
978,642,617,215,872,288,071,387,741,973,352,652,981,985,157,452,454,210,829,
895,250,092,615,069,952,940,468,404,852,800,099,849,717,702,250,107,172,113,
292,461,030,062,721,322,410,041,442,911,976,996,354,120,652,446,381,726,582,
707,491,043,168,264,147,280,155,135,421,979,608,304,030,014,590,184,390,545,
512,029,756,635,315,343,030,963,832,220,028,555,594,812,533,969,311,031,372,
842,384,287,287,355,664,234,848,150,789,084,000,454,081,145,795,522,944,511,
642,325,668,745,539,542,865,035,621,492,781,033,711,952,920,116,942,126,631,
429,178,166,942,003,549,586,620,847,295,840,093,198,759,588,016,863,633,034,
305,436,757,561,838,326,265,282,893,222,424,615,286,266,666,660,188,181,803,
374,705,756,861,099,866,925,046,829,766,756,455,951,506,560,089,378,467,769,
611,964,600,567,588,861,564,273,632,883,460,762,378,090,684,516,010,535,902,
503,579,762,396,531,523,762,118,671,849,718,943,107,787,419,804,292,969,918,
235,242,191,312,587,083,706,180,992,660,157,591,857,835,430,144,791,989,378,
284,498,257,684,054,314,469,661,509,488,172,339,689,373,998,397,943,093,930,
674,523,399,414,236,383,835,013,950,512,103,018,992,096,228,162,436,442,736,
986,517,324,600,457,570,719,326,015,653,383,446,530,259,411,205,193,183,340,
862,184,159,721,400,768,381,620,726,386,595,401,786,080,577,172,047,265,302,
498,878,308,563,232,338,328,900,198,281,411,414,990,126,544,910,653,062,219,
719,413,782,568,148,806,024,980,559,713,915,938,101,717,239,504,117,947,951,
094,928,469,381,328,334,853,535,865,617,499,550,263,884,994,136,139,587,249,
150,803,752,635,541,046,081,569,482,493,079,656,247,795,050,050,628,980,047,
172,980,785,356,506,777,638,028,991,531,682,965,657,313,613,956,412,134,017,
918,985,721,137,875,536,783,388,999,411,674,436,953,413,207,881,332,289,855,
996,607,326,961,430,138,576,611,335,776,785,218,781,839,349,781,862,741,425,
066,055,395,140,478,827,993,227,878,438,729,991,054,369,831,356,511,544,699,
215,487,906,910,021,767,594,355,327,095,218,336,817,464,249,869,313,480,451,
767,621,852,439,640,490,891,053,719,481,898,305,854,041,223,337,244,559,914,
437,711,798,478,467,827,061,045,857,915,074,585,079,000,579,190,956,908,219,
145,872,860,338,946,211,603,794,375,004,772,579,274,036,712,054,528,040,910,
698,677,327,176,323,676,258,068,698,900,850,254,979,276,001,603,790,028,202,
267,513,070,015,419,854,161,031,097,413,789,319,916,440,913,644,357,836,722,
682,264,519,984,203,967,405,803,322,667,339,659,861,926,638,892,656,545,575,
148,509,942,581,778,324,621,568,701,518,363,182,362,406,316,222,130,293,993,
579,688,444,729,187,761,142,162,326,889,085,234,291,753,153,986,107,477,460,
030,371,204,242,956,279,084,505,159,223,569,605,412,966,274,314,173,322,603,
239,396,090,204,770,803,787,626,771,152,777,312,651,300,781,039,043,413,616,
618,835,300,764,542,797,459,240,859,703,069,946,515,042,751,332,492,000,791,
997,265,786,100,005,423,638,690,402,837,443,606,025,240,150,308,477,983,104,
157,367,094,691,516,370,150,018,018,581,318,471,413,874,615,641,751,308,196,
973,239,508,361,839,369,329,406,567,259,075,058,573,573,451,541,281,175,145,
603,072,969,864,741,828,751,799,099,536,714,653,417,308,341,134,826,893,148,
826,578,714,543,535,392,705,240,976,737,044,151,170,233,631,276,831,202,619,
215,408,553,495,814,338,367,658,620,837,752,289,058,753,248,347,784,043,487,
960,707,140,691,400,364,037,334,707,844,799,048,064,541,829,442,479,592,865,
387,661,588,179,088,767,463,159,180,801,291,883,181,866,732,371,396,977,316,
934,688,001,000,154,082,614,389,823,749,206,650,950,147,598,330,486,219,689,
275,071,627,463,472,990,257,104,885,664,411,607,594,858,911,159,305,036,913,
959,228,224,766,348,003,750,797,607,477,068,369,958,269,385,845,685,520,445,
140,571,034,132,493,661,225,350,747,081,051,528,052,298,594,062,373,282,571,
560,330,059,017,352,180,654,020,934,066,411,478,469,798,228,648,140,258,830,
475,818,323,497,593,582,065,307,657,979,379,158,613,704,338,088,829,124,174,
153,088,331,547,350,593,412,383,727,503,683,161,612,390,679,470,272,347,573,
565,866,755,345,447,690,792,747,669,028,435,130,918,067,940,322,902,137,061,
998,626,625,120,467,107,143,412,361,745,458,344,304,351,478,271,377,711,698,
911,667,580,126,152,511,202,312,256,894,602,889,065,832,698,738,357,130,263,
726,971,719,595,442,697,096,398,885,407,440,003,814,448,289,691,862,719,098,
100,594,846,674,848,921,664,612,359,432,823,684,060,329,007,891,347,252,960,
850,056,051,046,827,881,635,410,292,661,590,717,090,718,922,764,358,302,260,
701,042,676,542,921,134,476,628,411,474,382,355,909,386,161,091,124,385,594,
862,455,286,092,569,088,736,242,271,295,532,080,280,603,251,598,164,190,243,
395,074,812,358,640,378,888,226,769,234,261,537,358,515,616,976,822,560,714,
225,441,317,897,690,889,600,782,399,082,953,238,206,657,271,973,216,773,013,
787,599,286,473,358,979,811,636,703,682,761,039,070,361,243,323,031,951,755,
505,393,437,759,622,838,326,431,451,827,750,292,022,508,376,076,598,011,701,
138,259,373,100,361,061,149,622,547,541,062,984,481,743,741,483,973,969,090,
696,965,671,800,357,121,738,274,685,158,608,961,626,554,390,352,982,056,018,
935,479,135,277,560,312,625,239,926,112,873,169,457,049,085,628,261,167,266,
716,567,742,158,341,000,737,117,396,173,751,673,211,952,831,127,369,791,540,
148,584,039,298,133,716,151,979,957,855,208,988,164,876,542,352,644,977,807,
983,656,241,605,250,011,421,707,524,164,057,643,678,544,964,791,913,403,223,
163,669,958,826,864,369,727,402,675,006,378,815,274,544,796,081,321,532,260,
117,170,902,224,548,852,491,618,486,787,488,629,225,759,334,626,052,931,480,
616,999,892,208,521,546,677,070,456,249,891,006,148,461,722,299,647,490,903,
716,780,267,161,805,182,071,638,538,005,683,692,188,059,812,710,956,732,509,
750,865,515,133,775,763,632,237,457,471,360,256,127,947,047,133,722,640,387,
990,698,780,228,283,611,090,612,424,948,995,472,479,070,147,984,391,806,846,
493,548,087,195,897,825,464,177,329,299,074,526,022,106,546,633,890,029,363,
812,644,469,414,925,870,712,524,976,115,590,403,097,460,435,984,969,793,871,
726,211,009,455,367,416,906,280,643,967,357,160,307,064,878,308,475,424,938,
999,094,974,460,639,613,274,118,239,341,177,420,902,459,416,002,682,894,018,
385,861,256,843,078,207,492,890,688,793,864,711,610,332,495,338,254,573,010,
487,958,178,151,326,392,376,225,692,478,267,133,681,572,406,703,329,571,071,
252,786,257,724,451,048,674,830,724,747,935,141,842,045,417,614,411,244,985,
013,146,090,395,341,498,213,043,105,299,282,203,995,641,250,725,399,140,221,
824,935,635,420,061,845,283,518,001,195,011,681,439,073,011,438,290,534,883,
247,663,120,997,705,800,327,886,455,194,179,307,540,458,328,627,826,527,438,
429,506,330,993,827,359,390,804,247,093,798,657,541,353,497,389,583,567,396,
232,550,119,630,724,225,728,886,631,235,484,490,263,931,203,654,960,897,851,
448,206,323,440,123,648,715,197,873,987,743,778,887,058,135,175,006,935,957,
450,945,624,825,018,839,092,918,317,885,120,145,373,910,148,279,672,862,439,
988,951,748,309,609,186,779,002,538,535,240,674,637,650,986,470,798,346,987,
931,154,747,918,579,057,805,480,744,845,445,755,057,079,263,391,348,620,303,
651,016,143,422,549,179,914,938,544,423,615,719,175,036,795,839,648,110,288,
913,273,688,425,899,227,453,224,589,728,000,956,489,595,727,490,459,029,617,
301,102,516,929,180,508,814,089,108,623,627,809,223,256,231,482,294,898,639,
383,321,917,182,618,658,953,601,432,008,642,252,158,828,772,966,490,428,468,
198,204,948,878,445,909,107,281,000,639,461,140,947,394,843,604,990,857,427,
969,664,884,802,672,854,210,095,684,363,995,488,071,257,164,391,664,782,807,
921,131,716,401,338,183,733,376,893,245,111,842,335,157,692,363,960,541,576,
147,068,268,496,013,578,797,785,184,680,341,071,704,924,202,907,932,826,518,
589,036,610,568,437,746,574,130,737,489,456,656,563,922,735,122,442,740,297,
371,060,023,349,917,657,133,439,545,392,870,478,611,627,180,016,950,709,756,
079,202,742,571,749,682,859,773,649,299,425,392,543,082,989,765,380,102,494,
334,897,444,848,220,142,768,903,040,236,174,530,836,951,035,603,620,319,132,
145,808,941,466,359,309,773,815,647,700,637,563,011,770,461,520,893,865,095,
619,148,206,885,552,763,904,601,321,082,879,674,015,058,380,927,525,706,037,
721,098,229,543,381,908,726,503,359,716,476,526,594,312,461,610,786,064,901,
400,176,820,777,295,149,809,613,364,487,866,633,843,685,809,844,877,642,331,
598,525,442,506,268,733,398,705,372,967,508,913,095,652,765,516,605,763,874,
073,149,995,531,106,355,019,464,481,809,391,509,881,502,523,295,777,236,152,
810,391,611,227,153,789,848,542,443,355,871,609,905,383,497,689,115,309,998,
874,201,348,786,666,264,970,601,565,670,755,011,829,964,398,255,237,883,673,
683,830,165,440,622,783,862,358,076,351,652,576,461,709,961,209,947,350,345,
899,020,375,204,763,371,518,372,047,078,839,721,116,402,879,872,005,396,524,
888,976,343,672,017,130,305,368,000,949,015,605,044,979,261,321,845,291,785,
604,200,017,339,844,034,183,532,733,067,652,850,354,112,631,434,760,117,445,
927,612,255,042,711,480,480,095,053,174,967,714,540,651,236,785,291,449,907,
253,565,272,212,610,604,104,099,442,924,411,621,880,782,329,826,139,648,080,
546,735,260,952,192,946,869,034,567,597,466,112,871,258,417,106,148,062,642,
834,028,244,758,561,976,458,931,799,553,298,443,559,998,914,642,805,410,314,
638,772,387,530,938,867,930,266,224,726,892,246,111,628,489,270,747,280,710,
153,068,451,786,433,755,341,759,132,380,766,425,224,940,446,938,976,937,529,
831,214,357,471,843,778,843,920,632,168,859,023,962,926,187,850,338,321,173,
098,268,732,842,887,870,813,043,089,742,214,513,689,129,487,385,328,351,006,
507,521,044,558,734,690,621,028,089,572,517,766,805,912,550,301,846,076,206,
113,834,482,290,117,264,051,399,291,587,645,282,756,459,456,279,489,206,204,
927,587,436,704,251,470,861,619,641,331,505,998,126,671,181,289,562,278,459,
907,209,890,970,260,551,758,056,882,236,115,216,977,494,508,270,167,014,065,
857,874,804,738,482,097,396,768,698,916,196,838,522,568,693,899,864,427,604,
045,722,334,797,803,848,109,498,397,081,424,082,257,512,798,557,560,005,781,
161,323,632,105,165,698,653,565,797,922,827,657,195,842,399,917,327,917,992,
445,077,619,465,708,791,201,083,118,609,210,942,594,206,405,823,454,477,589,
093,355,304,157,590,574,353,747,465,789,404,591,807,566,219,135,784,549,304,
930,818,663,424,867,051,381,758,757,388,576,497,413,100,338,361,651,725,827,
501,119,946,123,897,804,943,360,653,898,208,273,177,155,748,237,568,825,755,
892,229,611,050,543,643,072,432,803,667,905,561,727,790,744,450,746,717,718,
883,963,450,347,259,800,575,995,841,875,197,289,458,536,016,513,813,646,361,
240,448,771,063,063,746,213,365,321,689,491,958,824,376,726,850,808,287,338,
415,867,316,974,640,171,740,302,402,162,118,488,039,366,254,737,021,380,127,
854,241,412,300,753,903,551,071,974,697,917,073,462,310,089,207,069,712,287,
006,377,205,443,095,791,955,053,164,165,039,587,559,212,952,114,129,641,891,
041,244,232,925,625,333,844,306,734,183,691,469,609,226,327,851,832,756,645,
780,949,724,557,554,084,001,150,877,145,141,298,960,578,297,559,572,583,858,
223,582,385,758,614,292,144,442,959,268,280,130,711,021,130,944,119,979,026,
990,792,530,231,832,426,357,798,215,532,959,041,070,861,346,818,484,563,723,
871,675,351,526,338,374,074,443,905,182,193,530,262,145,893,736,694,166,100,
500,042,362,403,203,240,216,357,382,666,368,825,444,104,616,028,630,477,949,
574,584,007,974,716,177,907,098,369,973,687,582,852,300,645,744,814,973,536,
469,044,087,333,314,465,096,834,992,169,371,840,089,237,553,055,229,268,168,
439,309,320,475,991,112,028,310,876,924,548,339,109,378,577,433,484,366,209,
479,467,729,479,634,986,534,644,417,071,839,586,017,720,067,036,622,409,343,
880,928,878,096,085,339,281,068,453,910,234,112,815,380,547,102,962,798,692,
484,466,007,843,461,736,145,815,490,159,771,124,967,421,737,466,341,642,866,
205,166,052,985,896,930,924,568,312,719,110,617,324,696,335,921,922,241,814,
451,671,773,160,444,402,610,324,356,366,034,923,345,362,822,988,666,969,762,
817,503,507,816,718,578,992,371,551,037,941,429,032,378,042,386,959,636,607,
567,437,298,405,027,650,756,345,040,429,664,063,583,168,087,166,589,546,066,
375,581,210,943,208,098,761,744,143,315,902,072,093,348,022,442,663,623,997,
204,620,306,688,188,967,686,557,590,417,123,162,262,325,448,175,507,375,953,
301,634,831,530,337,958,960,775,353,602,648,009,265,166,967,023,729,111,967,
840,082,841,596,071,290,730,453,467,360,060,499,569,251,167,023,362,697,992,
900,170,616,297,852,485,370,861,716,171,020,891,678,161,459,731,146,997,264,
911,274,504,856,841,585,292,576,239,578,682,226,631,564,004,134,733,003,536,
306,371,506,216,785,828,045,492,531,301,585,508,102,428,417,478,091,975,238,
336,207,935,512,570,495,327,731,571,621,766,503,068,350,421,561,262,419,695,
678,466,523,099,240,506,177,299,954,558,923,038,358,266,047,376,625,551,985,
068,026,114,190,974,268,870,184,468,513,329,317,532,630,772,871,968,925,442,
294,395,154,463,222,567,419,345,359,281,303,329,007,193,285,813,391,356,049,
340,391,363,887,491,922,808,013,863,641,896,811,919,926,855,094,084,183,678,
730,754,356,596,748,648,906,064,296,416,297,936,091,180,807,377,443,009,833,
115,311,612,022,929,120,591,325,893,718,398,560,125,659,748,564,017,265,262,
027,382,334,362,649,697,726,691,717,562,737,906,586,395,262,231,393,047,648,
541,534,774,732,310,174,898,769,955,455,433,157,257,525,051,823,041,830,606,
486,422,234,030,268,844,254,591,366,689,870,848,762,038,142,745,176,932,568,
477,950,178,082,638,245,619,559,108,056,627,887,608,857,452,632,953,187,319,
590,154,441,991,332,842,263,786,103,323,733,186,271,763,277,199,502,923,588,
897,116,756,945,891,354,280,937,324,991,122,019,708,494,300,687,592,147,754,
776,929,492,731,326,996,010,296,107,797,142,619,597,952,604,554,342,777,299,
022,099,182,393,843,907,594,533,637,145,411,437,991,495,892,263,783,961,703,
180,091,689,491,024,180,672,156,711,990,028,256,010,567,014,493,460,007,665,
345,623,824,778,352,888,695,267,461,154,442,182,941,235,210,359,832,961,180,
151,326,111,664,828,915,999,598,065,498,754,987,131,281,558,784,539,909,336,
958,894,522,192,090,142,545,955,555,552,621,286,631,539,795,212,444,556,889,
927,755,962,439,579,841,967,320,067,400,366,968,396,205,889,222,490,098,701,
693,604,548,788,448,515,809,417,195,770,993,996,751,882,848,246,322,087,369,
193,395,960,327,511,268,867,558,552,619,484,744,941,677,944,643,241,344,205,
111,635,803,007,351,566,517,526,394,064,352,085,128,466,461,445,950,996,908,
125,483,503,224,899,738,029,971,102,541,630,647,811,523,615,921,295,426,148,
970,209,695,849,902,620,777,993,475,964,398,502,358,031,836,846,571,942,179,
942,663,092,701,154,707,669,617,268,106,080,319,699,285,782,361,570,100,602,
592,423,608,753,602,388,767,479,203,697,261,596,325,204,122,029,707,833,725,
689,575,884,188,469,195,220,658,747,499,904,140,344,971,663,205,262,229,209,
373,477,335,224,906,497,133,499,472,133,197,997,524,004,587,660,624,371,504,
731,840,961,226,329,769,455,815,088,385,435,559,043,019,965,052,765,943,298,
273,822,230,760,069,638,539,638,073,622,003,167,157,407,981,748,008,646,873,
169,543,313,680,291,073,519,793,830,472,422,235,686,225,309,768,597,561,360,
827,245,893,505,310,068,974,887,543,426,339,329,837,977,771,922,541,491,100,
002,695,529,518,264,980,624,630,557,235,861,786,584,347,719,772,700,157,541,
743,698,355,647,149,961,945,011,631,521,063,811,404,117,467,815,627,099,046,
818,611,312,312,579,973,672,208,863,247,186,893,522,420,837,975,260,687,376,
840,857,565,856,394,608,954,972,641,909,398,072,018,933,946,852,067,844,103,
044,877,067,800,868,456,537,363,809,473,273,268,490,322,032,002,372,008,557,
224,202,191,734,956,556,096,339,810,969,831,302,034,881,652,798,406,379,361,
911,979,100,322,869,107,015,449,423,966,897,223,664,587,158,572,208,145,147,
753,631,183,580,457,139,067,449,337,871,492,096,755,039,556,053,924,418,654,
634,362,314,384,258,371,565,889,292,855,483,181,026,382,297,646,594,178,919,
443,787,855,779,333,662,167,276,563,654,002,467,437,809,113,006,157,564,963,
776,022,284,426,725,321,840,510,320,414,634,267,461,438,668,775,302,466,482,
563,164,869,381,779,856,573,462,557,934,090,718,258,004,880,596,653,017,623,
108,385,657,778,315,545,331,838,748,172,461,826,238,181,970,711,120,329,300,
332,336,424,749,307,145,431,120,508,351,545,111,203,658,114,101,008,871,778,
412,732,628,869,878,105,739,103,355,630,170,835,036,765,720,605,576,079,174,
233,739,792,684,567,431,522,580,872,548,623,740,259,944,592,567,381,211,054,
434,716,346,877,971,083,275,819,333,510,409,753,268,601,310,074,829,039,492,
480,794,477,799,291,680,409,664,593,005,019,571,674,099,474,184,457,745,044,
585,318,216,738,099,257,438,065,186,309,880,991,174,367,880,968,474,171,103,
306,464,228,604,347,082,576,984,590,151,908,940,378,185,876,358,234,107,175,
384,271,786,958,115,015,619,445,624,408,587,238,549,131,863,535,416,809,688,
003,829,919,827,336,580,855,925,734,285,302,403,061,979,429,288,519,941,469,
161,339,001,790,364,713,128,368,269,980,382,251,062,263,849,044,112,083,403,
380,016,520,119,331,566,788,374,465,653,813,534,753,212,525,613,428,833,340,
363,132,915,531,113,892,763,008,061,240,097,087,530,874,769,728,975,001,616,
888,778,786,220,351,847,189,305,249,616,450,548,643,384,239,024,598,159,282,
251,231,521,184,175,676,457,331,248,792,273,207,414,297,856,060,232,849,744,
411,476,874,242,059,665,049,136,051,725,351,066,489,122,233,977,756,039,010,
704,079,375,975,848,494,557,144,093,353,934,533,108,812,753,087,458,269,102,
800,730,069,417,712,038,805,051,152,174,348,093,105,102,835,802,845,556,756,
061,296,292,342,865,789,280,943,156,908,068,771,595,806,104,376,593,974,774,
148,652,611,188,853,382,636,900,026,218,339,194,791,573,247,578,105,981,319,
799,654,806,357,799,508,191,657,258,141,339,021,386,266,371,232,896,942,623,
143,243,439,223,757,425,025,125,235,113,786,307,214,543,638,160,412,555,108,
321,215,526,490,312,987,801,921,044,163,963,334,766,764,360,188,841,631,023,
498,922,467,978,009,859,974,001,262,022,990,842,238,474,232,445,138,646,673,
024,771,392,223,542,836,347,845,344,093,069,800,508,100,775,843,123,840,693,
710,870,223,748,060,891,983,293,135,858,477,607,401,596,839,418,176,170,675,
670,611,106,661,630,689,705,092,858,374,732,474,539,282,694,506,497,439,214,
166,524,348,977,889,957,804,663,397,746,772,364,980,234,988,789,124,583,342,
072,071,584,484,447,343,230,283,194,881,282,584,734,084,672,325,712,153,217,
642,700,855,545,917,067,619,433,743,078,999,938,606,968,565,775,888,244,538,
338,306,585,978,987,355,833,733,754,533,669,087,509,197,674,552,568,803,661,
642,203,284,900,869,072,468,965,665,189,597,377,455,315,885,722,155,743,845,
792,114,099,933,713,832,912,986,940,519,996,599,089,831,087,033,523,583,583,
119,501,631,247,622,659,025,561,296,589,905,970,247,619,980,824,965,441,870,
277,914,520,292,460,053,516,514,981,959,679,718,084,581,164,217,281,435,803,
574,880,451,076,445,789,688,609,860,166,024,157,873,354,812,079,724,647,922,
020,681,946,055,469,813,961,836,994,504,093,776,545,456,630,296,063,853,025,
319,095,450,136,738,646,827,763,308,522,894,038,417,512,622,033,636,984,876,
172,491,916,189,770,971,010,791,692,436,799,799,977,005,311,700,601,695,644,
915,569,531,101,166,632,763,737,722,231,473,577,165,816,966,066,130,369,022,
405,073,033,477,966,723,572,405,634,392,641,377,376,691,251,354,854,213,330,
055,087,408,684,320,711,380,891,534,778,391,993,665,562,699,087,020,786,457,
863,761,671,230,423,198,964,661,502,548,258,131,663,120,508,155,457,169,848,
088,327,657,259,903,789,062,921,678,641,243,401,795,699,691,866,960,450,664,
857,154,009,946,097,070,004,572,257,214,544,659,248,651,462,097,960,325,538,
690,450,762,388,444,221,866,116,776,274,375,370,018,750,463,263,970,711,428,
389,873,604,861,930,122,826,915,386,971,661,004,545,895,027,700,900,285,097,
020,495,635,128,378,060,800,273,293,127,447,173,100,184,051,875,802,358,859,
814,205,002,050,409,208,233,672,350,617,780,121,508,093,130,421,644,758,245,
914,548,200,536,519,239,809,800,504,685,250,945,459,669,850,651,682,511,923,
891,804,649,904,123,057,899,761,863,047,923,542,008,664,645,732,086,063,007,
747,276,238,187,513,661,333,335,284,041,911,677,292,508,220,810,085,515,075,
961,353,324,655,296,780,044,988,682,620,983,182,935,014,029,286,357,762,450,
256,600,900,924,510,401,117,806,475,167,471,969,632,311,526,282,152,846,684,
871,325,996,036,548,352,148,652,520,288,953,587,288,577,589,907,850,400,389,
150,365,117,309,236,446,608,233,790,499,221,783,066,885,322,665,992,585,824,
881,341,986,134,788,619,078,272,410,292,310,757,144,163,847,490,533,198,257,
817,802,621,715,284,777,540,115,891,121,656,128,076,766,675,851,745,580,698,
530,510,157,401,111,100,006,884,186,350,836,203,914,527,951,125,736,014,002,
452,773,478,203,879,324,439,248,818,440,829,683,761,997,318,589,963,317,473,
028,242,974,779,925,749,226,905,022,861,261,081,725,020,251,231,846,118,286,
971,567,190,400,424,461,119,956,132,251,076,475,017,482,893,077,699,465,310,
354,434,996,808,010,616,318,887,341,890,968,919,009,178,790,684,013,175,790,
157,649,415,017,049,760,704,387,146,900,668,183,955,240,166,447,408,716,509,
116,640,326,639,680,394,836,632,831,177,344,355,087,613,980,348,120,199,605,
008,798,890,105,203,097,229,564,010,076,452,384,914,059,503,947,687,734,146,
794,697,916,546,259,943,036,885,916,650,018,713,957,838,340,595,099,104,839,
167,316,398,578,190,625,303,399,863,715,566,817,366,761,090,801,453,478,635,
411,701,043,249,069,863,171,153,483,947,001,946,220,648,890,251,806,273,297,
257,774,644,110,101,722,062,606,447,314,054,747,299,021,369,035,814,609,066,
312,272,518,161,213,570,345,892,074,706,538,507,282,916,184,676,303,896,347,
561,015,482,604,564,964,691,445,364,096,475,565,779,320,870,133,012,245,860,
569,896,484,124,955,340,862,355,036,281,980,730,854,721,422,909,826,516,074,
328,295,391,386,675,966,878,261,267,199,142,758,814,502,369,692,127,156,138,
714,713,139,762,485,901,773,021,520,404,003,601,683,248,941,390,110,222,484,
715,510,943,031,410,886,919,767,560,619,321,521,004,981,505,116,133,216,279,
981,197,612,875,414,443,737,932,893,320,690,931,311,845,568,692,582,718,693,
311,224,733,550,933,707,451,420,851,059,056,559,158,038,314,063,647,400,480,
694,829,032,182,177,495,947,933,042,508,966,288,694,311,607,530,347,148,713,
950,274,859,429,287,392,983,258,108,608,547,471,059,151,102,621,585,586,270,
323,317,684,027,846,301,177,433,697,857,497,185,225,648,082,445,215,722,719,
572,660,398,471,570,337,353,092,898,547,813,615,794,395,060,674,005,269,459,
857,032,006,667,867,136,295,385,500,958,662,589,949,525,109,673,233,151,807,
476,375,241,782,007,227,662,763,178,046,640,822,263,324,886,653,056,172,770,
640,593,937,945,282,746,993,613,735,853,488,843,213,649,740,985,259,290,087,
071,234,747,741,800,620,856,477,813,818,928,263,693,101,209,819,598,060,280,
144,036,724,982,128,224,210,762,214,024,205,296,707,198,119,491,403,742,685,
041,308,383,968,986,436,234,719,096,124,654,663,642,696,025,713,426,503,247,
844,444,134,286,363,588,395,830,308,909,122,173,937,501,973,757,609,873,253,
964,019,048,434,339,600,242,068,759,763,581,987,150,260,012,217,694,449,922,
922,448,865,049,131,657,465,794,838,402,058,548,168,438,739,579,661,752,574,
746,365,965,436,943,100,515,193,500,756,347,242,296,693,084,960,903,455,593,
366,991,262,307,922,900,444,629,391,349,441,923,489,476,127,826,437,344,817,
742,554,505,489,122,245,545,499,468,571,676,924,732,187,358,224,520,285,017,
357,360,763,479,843,876,645,285,319,286,396,711,103,656,386,983,454,520,662,
944,138,267,852,066,409,825,393,636,961,403,683,954,431,148,859,727,596,483,
652,070,732,245,351,846,870,074,482,950,103,892,375,241,625,875,570,701,621,
921,828,515,205,533,559,646,241,029,821,457,064,528,334,769,275,201,038,721,
933,695,951,585,440,211,465,504,940,436,629,223,704,921,441,950,225,650,247,
098,006,015,116,284,853,870,281,355,169,739,056,809,421,501,826,376,980,523,
261,765,986,106,253,595,545,572,883,006,905,508,381,094,804,159,932,444,017,
566,212,672,315,735,460,604,617,270,175,992,716,745,882,326,829,416,850,649,
611,777,482,099,943,788,601,613,858,635,570,041,311,376,583,487,292,567,984,
989,814,602,083,302,219,812,223,045,911,306,389,161,476,384,095,621,927,666,
853,174,653,762,820,809,739,418,044,176,827,480,959,163,868,352,586,859,177,
235,799,103,970,150,281,930,783,941,137,720,121,083,069,377,120,937,906,145,
968,798,420,906,845,007,956,236,960,959,105,029,338,802,498,826,120,527,622,
785,637,164,552,124,680,987,674,235,147,206,892,217,424,019,195,351,449,724,
549,584,050,386,047,081,709,939,420,302,151,183,457,629,201,945,651,408,053,
004,590,245,660,244,851,926,124,592,650,953,561,215,282,547,128,294,569,003,
702,946,226,719,090,438,820,200,459,165,253,867,817,487,942,495,858,215,434,
554,624,902,571,333,935,352,523,830,440,960,640,139,432,395,076,847,538,343,
460,106,986,970,107,403,369,965,748,026,609,381,059,035,545,201,415,578,101,
780,260,025,935,843,547,436,950,631,761,802,994,185,511,557,700,334,004,168,
699,536,102,899,121,610,616,254,851,813,220,685,134,505,862,939,202,407,063,
156,010,837,116,800,744,726,201,733,341,659,784,737,803,964,491,299,913,072,
800,979,509,121,747,882,036,309,788,839,804,745,187,055,843,395,190,580,231,
796,765,663,478,633,343,362,082,158,549,154,901,548,594,029,339,486,245,440,
746,299,760,328,879,719,224,532,459,909,485,911,270,903,355,501,962,747,984,
308,941,588,356,874,926,145,773,766,471,735,526,789,967,392,045,700,238,318,
183,771,025,649,817,426,505,828,153,692,808,205,497,425,490,655,048,821,752,
562,917,978,413,547,274,286,556,862,167,196,050,094,831,762,912,309,157,226,
004,683,003,365,965,139,681,609,337,424,831,230,222,163,080,601,328,372,926,
893,889,421,877,900,875,011,609,381,758,205,222,152,458,691,846,978,618,640,
722,972,894,704,720,560,266,449,567,547,652,108,995,908,323,751,767,406,814,
899,493,837,064,198,091,489,032,281,516,272,949,394,410,251,843,790,732,278,
552,434,870,191,866,938,978,154,150,633,224,438,506,642,112,369,499,542,097,
804,974,729,673,523,596,195,997,702,670,780,436,524,583,576,575,005,015,848,
973,335,472,353,682,657,962,751,808,744,055,327,098,137,596,769,086,349,557,
201,834,942,372,736,649,110,047,037,027,477,504,507,958,939,430,994,561,421,
153,681,433,780,595,867,584,621,049,161,736,188,055,515,915,389,229,662,752,
389,586,078,802,559,765,889,021,457,658,509,773,258,787,564,095,098,635,049,
865,744,079,354,689,640,740,070,481,370,897,779,864,563,275,043,120,658,784,
207,045,778,614,730,900,860,762,119,794,580,544,752,446,872,720,333,686,619,
347,414,805,978,919,001,061,271,601,921,539,357,175,661,444,401,864,833,590,
275,165,255,495,130,863,510,312,564,266,080,617,129,088,934,762,446,296,642,
201,376,701,312,112,754,097,862,523,459,885,795,010,605,172,898,437,923,189,
057,509,324,383,191,599,868,421,148,217,595,381,193,058,581,723,751,058,300,
311,602,705,760,843,487,311,287,346,561,574,032,902,428,739,251,587,295,978,
215,753,712,208,810,710,919,088,119,230,450,237,916,705,712,169,423,137,303,
479,905,586,099,793,440,048,236,389,964,073,846,463,926,694,209,130,424,799,
146,069,376,809,928,677,002,782,785,289,070,766,082,507,933,296,511,584,307,
369,112,245,719,574,116,617,944,962,051,218,029,539,895,818,517,575,449,036,
471,415,407,912,613,068,788,777,014,877,930,534,700,558,190,965,326,062,325,
216,346,729,866,409,577,720,202,668,555,348,188,780,453,606,198,135,773,889,
274,374,109,962,757,568,127,746,048,993,445,060,127,541,018,286,834,714,772,
296,130,653,466,548,906,874,644,643,831,389,510,896,450,239,562,759,774,502,
232,544,218,336,801,535,561,262,273,083,459,575,577,212,375,792,525,426,907,
992,344,543,740,144,417,954,514,412,706,381,241,938,975,797,387,114,956,150,
556,948,226,115,577,722,649,886,678,042,025,348,253,224,951,000,531,673,233,
924,782,846,720,268,563,206,232,240,982,955,747,585,798,435,304,096,317,897,
885,534,381,302,434,749,017,960,634,735,796,545,461,348,070,057,543,962,497,
188,480,950,695,224,098,441,367,407,174,591,892,987,912,409,759,450,301,069,
351,658,123,652,797,437,662,875,828,714,786,955,805,423,885,146,725,642,940,
029,784,875,501,271,653,745,328,631,328,209,866,051,854,287,966,758,361,164,
943,935,840,764,468,719,507,897,382,917,263,232,665,148,264,177,621,476,084,
307,820,039,331,738,247,338,592,249,180,269,118,441,276,637,218,368,515,072,
490,615,914,201,525,331,547,495,109,403,970,482,401,318,196,789,120,416,297,
630,411,768,371,531,457,957,493,023,927,130,215,515,545,990,080,101,156,264,
683,969,543,561,877,570,522,294,304,737,652,872,663,356,345,539,538,191,639,
787,204,692,766,056,612,712,147,738,194,123,707,673,587,447,319,092,084,600,
477,316,580,823,457,922,128,889,099,913,948,528,019,096,440,860,257,127,125,
432,730,268,486,903,328,589,571,908,769,627,930,698,178,234,132,376,543,995,
029,252,133,066,278,573,721,478,120,132,063,691,371,898,826,918,356,009,079,
067,819,610,468,970,889,304,092,311,404,545,171,591,579,116,688,869,023,150,
134,784,834,646,649,763,324,945,759,518,597,804,606,231,841,790,034,439,089,
838,198,725,321,951,366,259,436,644,687,607,271,517,846,517,093,119,353,373,
687,486,281,231,088,408,478,486,103,449,084,050,887,200,536,808,023,877,948,
642,752,039,877,836,358,206,220,233,720,424,478,061,908,613,656,374,324,983,
302,935,734,895,060,199,585,913,177,479,829,936,390,136,971,578,035,261,618,
543,933,057,193,982,933,057,955,615,079,427,607,359,694,353,369,573,548,387,
959,910,274,647,449,870,918,038,580,820,001,669,621,285,347,295,816,390,834,
743,086,831,710,117,625,896,196,372,991,812,294,572,717,277,720,102,945,638,
327,848,686,137,763,773,537,464,026,249,780,321,432,564,487,613,723,034,581,
938,629,594,751,460,485,568,809,619,906,299,261,131,467,736,360,569,395,142,
608,131,188,743,197,410,683,002,858,730,406,263,119,993,586,342,873,562,454,
647,204,538,081,221,511,798,946,915,353,865,480,252,201,824,770,844,186,316,
112,787,479,616,372,762,029,034,665,213,169,055,313,212,992,287,403,349,760,
084,362,187,700,112,798,561,203,841,756,383,685,435,774,351,504,402,050,053,
256,430,376,254,578,912,818,599,835,807,002,084,136,039,154,366,479,838,295,
532,480,197,829,170,225,509,991,666,606,974,474,928,236,934,544,258,197,788,
005,712,978,482,617,454,014,051,493,078,360,558,521,458,046,350,049,911,408,
504,988,874,988,996,088,298,885,812,264,007,639,969,399,937,969,439,627,049,
143,513,848,244,432,874,478,338,370,007,005,135,796,965,552,965,312,857,982,
010,564,164,243,557,293,849,090,057,610,194,505,449,381,489,547,807,364,471,
707,813,949,170,477,033,072,804,452,453,804,297,911,198,307,874,218,644,491,
200,557,446,863,324,079,176,089,835,151,779,200,064,762,616,320,912,947,116,
822,752,536,962,308,769,876,923,071,313,805,904,360,314,751,095,775,497,519,
519,253,540,413,840,261,029,699,317,138,093,857,449,923,389,217,997,982,420,
538,666,400,325,321,576,210,600,549,111,391,596,104,828,301,201,953,086,261,
969,675,822,813,843,941,489,052,002,307,563,175,017,194,934,606,160,649,175,
941,481,825,923,353,271,760,871,527,387,681,669,074,207,231,451,938,034,674,
422,031,460,912,222,254,721,347,048,044,318,491,025,646,827,087,804,659,506,
348,933,345,972,425,296,890,221,378,388,013,937,929,110,132,490,099,104,220,
923,509,739,260,942,812,684,610,904,072,582,899,580,557,432,303,848,435,895,
761,451,200,723,504,816,304,107,669,670,602,664,313,665,254,185,767,336,310,
154,062,584,861,408,380,572,733,488,900,334,095,899,607,007,494,357,583,855,
695,470,797,448,965,354,818,396,063,088,914,410,353,304,533,809,598,488,870,
208,419,319,075,112,148,784,180,599,085,618,314,413,230,533,627,908,454,464,
418,673,511,394,629,994,060,469,027,836,158,441,208,266,428,544,189,989,199,
832,959,710,706,225,380,199,861,679,732,316,733,897,756,127,067,531,692,406,
406,944,314,523,469,989,505,820,425,855,208,358,789,680,428,030,698,019,819,
868,708,899,947,617,607,979,688,987,954,678,579,575,953,549,886,248,662,613,
017,061,608,939,867,301,346,639,955,457,431,155,866,474,223,235,800,082,610,
376,559,336,035,918,274,481,973,995,647,993,267,674,519,245,471,822,232,016,
510,616,348,475,164,318,400,345,348,723,047,300,896,097,785,512,419,331,858,
363,036,899,852,948,448,008,300,397,885,489,412,490,725,207,512,093,341,542,
115,225,602,162,083,975,915,423,013,831,215,112,395,767,248,228,206,656,215,
257,431,586,750,104,067,120,926,042,596,878,085,363,484,606,857,335,360,079,
026,843,096,651,291,359,705,909,047,177,821,114,892,754,824,722,748,633,259,
323,069,267,305,529,481,056,034,324,622,440,175,327,783,189,565,047,346,595,
054,345,980,699,341,041,504,173,842,523,724,689,962,618,227,236,334,448,471,
451,730,198,476,786,289,283,555,633,871,938,760,105,757,872,063,897,320,219,
129,254,394,999,563,578,732,576,629,454,811,738,197,330,058,051,253,960,939,
956,348,798,534,148,171,935,849,161,578,391,532,388,386,339,653,355,831,153,
760,039,237,062,669,396,924,148,744,230,653,897,577,318,326,103,390,934,522,
843,973,394,003,791,690,658,819,049,857,786,402,968,002,520,313,240,490,082,
414,730,513,659,403,247,593,979,173,545,790,280,117,865,761,414,719,027,106,
935,614,882,089,633,998,183,175,306,172,741,767,464,467,061,512,256,915,768,
994,351,901,158,452,861,414,923,791,702,322,526,350,779,952,088,650,161,828,
765,039,690,926,000,922,171,425,116,906,272,868,638,701,138,566,158,087,602,
744,035,748,678,980,678,583,072,812,746,618,969,401,731,549,318,138,199,728,
550,696,955,165,732,458,964,059,842,788,180,558,709,936,298,637,258,328,170,
756,986,705,465,180,464,133,301,975,023,014,029,856,973,585,272,748,011,271,
967,058,111,059,459,096,435,433,820,907,940,805,259,827,106,274,746,339,253,
844,814,244,403,487,429,413,025,984,443,802,662,188,320,759,389,035,596,776,
591,002,218,569,644,701,314,426,193,232,617,910,296,088,255,253,609,628,463,
842,198,495,208,335,678,952,300,359,720,978,672,054,433,193,480,870,057,864,
515,850,105,346,916,582,071,224,901,947,219,957,043,913,428,389,461,116,583,
206,565,247,322,062,355,344,425,838,129,857,101,519,321,061,406,580,017,961,
566,772,648,073,163,027,357,937,988,452,605,995,559,258,692,561,757,608,013,
263,386,570,790,308,502,867,825,610,146,071,397,233,309,181,076,082,579,541,
652,912,993,237,920,136,554,072,168,644,572,259,770,871,649,954,192,524,549,
019,305,175,675,986,463,917,187,359,203,095,026,576,308,652,051,907,470,877,
255,463,513,500,655,366,519,187,791,894,903,789,330,628,711,930,879,051,000,
499,687,730,079,630,098,391,502,811,544,939,669,059,605,366,837,774,851,433,
253,503,034,693,297,185,592,090,965,856,379,985,858,147,057,679,807,849,703,
614,131,122,096,064,415,755,974,823,242,766,986,015,710,471,889,738,374,128,
491,603,013,449,045,836,728,485,322,758,625,825,370,987,312,722,097,822,543,
202,130,631,532,717,031,977,508,153,639,461,155,095,534,204,904,650,158,742,
078,282,577,790,225,831,124,726,475,697,411,757,088,812,699,718,033,407,253,
023,658,660,935,718,769,440,959,872,377,279,993,494,108,757,388,554,770,807,
380,324,498,914,176,230,460,449,371,616,848,711,693,498,634,376,297,304,035,
714,514,080,738,921,368,383,164,839,629,345,826,739,008,557,765,373,856,110,
012,157,307,486,243,918,315,454,489,479,273,063,198,281,893,571,454,807,317,
343,107,983,080,862,591,777,405,226,550,774,188,901,606,127,805,979,805,693,
044,057,140,514,467,138,904,802,291,163,351,562,174,603,466,107,146,029,185,
441,005,474,337,605,082,042,803,565,096,165,628,088,724,044,093,125,393,254,
680,512,600,995,760,117,885,752,437,511,295,310,717,618,457,091,193,692,930,
253,062,031,977,211,627,739,724,290,493,635,719,032,391,557,509,329,687,717,
475,356,506,960,221,658,689,841,181,720,994,394,374,113,986,612,706,767,031,
213,373,080,559,255,726,773,364,328,373,944,642,338,537,585,046,042,014,378,
916,754,488,140,079,497,149,365,496,252,090,084,871,931,289,677,320,089,846,
441,922,726,289,392,305,095,401,287,794,089,701,816,341,944,289,743,793,708,
448,222,891,055,905,755,486,141,776,580,271,940,067,806,231,733,532,971,638,
545,380,114,758,536,539,536,679,994,420,737,151,822,252,174,296,586,456,318,
393,470,167,330,196,776,810,951,433,628,463,956,204,719,858,829,932,610,472,
772,293,109,036,266,922,190,320,763,814,343,709,690,807,909,953,426,997,710,
553,448,568,193,609,620,578,320,874,010,459,458,263,456,221,876,429,989,285,
458,189,585,504,855,957,670,763,999,805,378,045,529,720,969,739,601,687,692,
386,858,986,394,287,504,555,310,108,860,326,177,314,503,636,237,658,940,609,
765,208,717,011,271,765,081,812,111,037,775,683,556,558,671,891,432,415,446,
687,373,752,034,747,397,576,711,850,083,317,182,152,036,597,291,990,377,096,
452,267,199,932,008,146,958,828,446,564,086,798,929,009,121,165,148,139,215,
632,020,757,153,518,467,336,006,253,139,682,653,828,523,261,492,694,382,903,
510,166,010,519,309,828,623,700,597,838,434,702,499,014,438,783,082,682,058,
253,554,293,009,559,951,909,193,873,503,403,506,857,875,426,381,252,808,057,
925,941,677,452,876,312,146,977,928,100,877,005,376,967,300,784,218,602,039,
659,808,630,901,688,916,943,741,065,058,823,265,348,923,294,911,884,043,174,
561,642,673,332,020,834,403,498,083,008,127,894,751,682,109,783,400,079,835,
490,718,629,948,793,504,806,947,318,088,749,351,230,288,925,451,972,558,711,
316,464,811,588,223,592,135,030,170,792,823,925,634,221,677,668,682,449,125,
496,327,879,414,386,205,913,244,808,193,734,587,407,545,072,423,828,615,311,
128,600,736,655,990,061,884,773,362,257,158,215,589,111,035,786,616,791,922,
455,787,411,045,649,446,319,795,475,613,836,519,972,231,176,796,052,655,407,
635,463,364,346,220,591,999,977,013,207,639,318,977,263,520,024,738,273,347,
950,803,811,355,815,196,954,552,406,515,502,016,885,437,959,487,935,024,493,
977,263,649,397,119,324,254,573,238,050,759,082,557,239,925,972,498,331,841,
622,539,944,685,524,522,608,011,060,905,317,739,553,195,942,826,340,662,335,
406,139,169,739,690,329,595,252,074,880,676,392,341,379,287,091,088,266,583,
376,803,224,493,650,713,679,970,545,031,432,129,724,930,283,057,983,935,691,
130,208,346,578,712,626,457,797,750,060,702,892,170,649,204,517,954,962,806,
715,959,250,902,873,985,307,475,308,946,179,028,816,742,619,663,911,568,255,
547,792,332,796,889,645,726,696,591,227,378,755,644,899,734,788,557,415,664,
799,407,081,597,086,802,512,744,331,436,907,357,984,734,216,486,170,017,858,
520,613,738,700,343,867,147,525,803,748,619,490,115,013,473,743,571,962,021,
541,685,610,183,252,906,344,717,646,663,563,418,136,398,963,733,902,278,631,
036,682,951,821,112,687,002,321,375,328,071,880,430,038,385,073,798,371,372,
553,432,511,352,535,454,465,544,544,413,199,200,413,599,667,759,350,966,956,
714,072,909,729,463,232,053,050,723,562,534,433,064,138,508,108,413,900,745,
932,163,577,502,072,611,085,048,091,264,375,303,120,987,399,150,227,908,535,
896,213,065,940,458,574,697,478,010,955,441,797,555,806,271,211,128,481,783,
634,940,317,869,552,295,509,962,326,735,270,137,087,269,669,171,462,965,562,
305,745,685,908,450,308,443,613,123,982,117,883,515,492,875,390,899,707,876,
104,463,890,303,439,134,392,147,138,370,960,434,421,732,130,501,102,394,376,
014,664,555,043,762,267,857,808,458,048,910,760,043,253,545,268,915,528,570,
362,027,043,141,014,630,248,785,440,165,470,294,142,420,394,254,886,054,315,
986,208,745,275,532,954,251,257,595,191,944,576,977,170,543,882,092,993,563,
157,771,823,724,413,979,663,294,570,465,827,244,763,907,420,868,836,132,268,
759,037,095,257,625,066,905,778,585,940,950,772,839,791,844,463,902,470,161,
834,539,450,022,023,793,575,324,071,296,989,800,510,444,465,875,219,387,700,
078,690,670,701,681,757,556,582,912,340,833,091,296,039,255,221,322,492,877,
589,457,327,804,406,521,136,860,821,395,399,368,919,867,820,123,344,331,222,
141,790,882,478,855,060,678,434,129,303,106,470,112,195,863,344,337,269,677,
409,790,450,073,571,518,750,655,391,210,413,035,134,287,567,235,125,262,818,
559,997,168,605,997,584,757,930,752,929,084,133,351,598,449,117,439,323,297,
335,130,508,129,187,055,283,226,728,164,571,149,481,283,296,827,993,814,371,
773,621,899,343,676,573,196,945,378,848,091,033,809,516,753,745,739,519,127,
721,720,131,886,276,006,665,881,033,055,060,160,273,777,214,968,461,057,017,
644,972,713,452,933,685,019,168,152,104,948,732,090,673,546,343,242,108,495,
100,828,474,402,223,776,504,959,972,996,572,448,887,173,320,989,758,770,228,
456,014,268,271,963,994,310,947,472,499,068,011,779,735,474,226,290,402,666,
365,615,483,709,421,879,796,167,955,325,695,940,782,639,177,613,694,012,047,
854,722,379,900,336,338,896,488,591,012,330,666,804,807,791,676,614,427,916,
775,268,221,485,446,128,854,913,694,969,335,666,895,141,613,299,397,062,514,
431,872,029,811,963,141,178,559,011,027,153,255,360,682,579,276,195,322,597,
286,358,656,739,846,704,370,276,887,089,020,685,179,126,211,066,174,565,554,
256,514,368,767,452,064,694,951,212,936,957,098,155,123,600,259,866,267,317,
950,252,661,685,237,571,735,671,864,532,972,045,401,651,646,417,014,786,271,
819,472,009,115,111,004,473,506,974,053,807,760,534,372,774,332,545,404,909,
459,812,175,865,450,884,940,663,926,328,091,823,263,840,696,984,740,564,030,
376,797,720,772,151,031,172,034,783,462,060,093,049,619,271,617,269,525,838,
140,064,162,718,189,535,426,589,372,291,231,704,587,734,389,622,960,019,570,
331,439,933,447,297,149,297,088,635,656,760,614,770,267,668,743,101,233,246,
234,154,616,762,688,921,290,113,684,835,894,417,631,182,811,981,676,104,703,
111,008,414,056,075,446,969,778,949,136,768,577,711,769,471,410,091,681,465,
621,666,975,533,094,600,211,924,138,029,578,014,453,426,324,753,526,300,796,
117,146,608,889,131,200,056,492,732,773,366,373,400,067,701,489,478,766,446,
929,867,508,929,905,981,961,180,776,725,629,652,818,057,449,046,468,919,213,
923,303,272,285,003,648,740,697,130,435,484,275,929,093,666,733,582,809,760,
837,116,912,477,503,075,615,477,716,761,036,699,909,920,284,354,738,899,504,
985,852,365,323,744,981,030,463,628,814,803,265,006,386,643,076,930,601,544,
180,668,129,399,288,088,644,602,930,273,339,992,468,878,117,909,702,013,195,
357,792,306,196,267,851,275,356,649,569,255,864,819,257,422,380,226,642,421,
036,387,947,681,285,268,304,755,898,910,222,684,031,983,964,181,245,500,730,
537,908,060,909,237,079,556,605,699,427,185,455,112,398,968,427,390,947,255,
319,428,690,919,679,365,559,268,406,488,701,088,312,191,090,151,509,908,567,
680,638,115,482,706,285,827,594,079,971,587,566,046,887,325,870,947,605,892,
754,213,178,862,296,700,205,475,771,996,298,368,938,700,362,434,814,896,134,
381,790,800,154,149,198,681,041,091,448,272,018,808,382,776,819,377,338,421,
572,337,292,510,981,324,856,851,195,149,181,708,269,624,820,519,920,168,867,
912,260,892,559,346,309,274,891,622,695,995,881,452,157,250,693,516,480,078,
231,324,860,686,385,570,030,720,491,586,972,615,259,352,758,896,088,838,092,
230,098,710,478,842,276,145,523,926,004,563,883,649,032,410,146,043,324,825,
887,225,206,127,225,063,709,589,194,388,746,204,238,842,545,812,323,847,874,
481,002,085,878,431,114,076,684,930,851,359,670,186,688,288,066,853,234,885,
394,190,483,270,713,251,964,063,111,193,303,511,074,531,924,634,413,904,970,
342,882,664,226,840,607,539,101,808,082,041,991,881,081,238,371,256,256,575,
716,759,883,615,457,319,891,028,086,002,138,329,294,279,507,736,742,111,750,
379,632,331,142,980,466,475,067,368,192,191,189,120,460,122,563,695,689,271,
429,874,098,812,874,624,663,483,921,010,344,147,924,554,355,091,594,767,919,
029,914,148,048,080,091,563,264,266,407,592,065,612,339,411,377,537,580,310,
967,810,588,255,503,007,841,108,916,838,122,647,901,265,478,778,570,925,945,
195,714,182,028,871,277,401,409,686,267,206,854,452,489,564,032,609,964,154,
941,688,728,353,586,250,115,082,927,385,034,947,075,110,110,943,080,628,369,
514,595,660,726,841,886,497,918,803,061,147,399,985,763,913,872,988,421,764,
378,637,700,608,718,692,367,931,812,581,844,724,233,420,704,644,288,592,414,
453,653,872,236,701,299,246,445,001,210,301,052,011,759,115,948,818,498,348,
947,182,173,082,695,648,335,224,665,289,686,512,125,977,959,626,298,660,780,
770,425,227,813,378,800,129,516,474,629,811,044,358,530,384,190,121,882,062,
000,020,544,550,359,457,117,162,752,235,462,131,882,594,052,289,036,513,659,
743,208,414,856,396,868,347,497,932,563,718,240,783,808,743,464,962,572,377,
048,920,219,909,160,830,898,086,014,458,474,017,672,114,570,265,402,301,264,
084,741,983,501,681,408,082,342,788,066,420,123,475,196,283,160,099,866,274,
231,275,331,682,425,871,732,336,933,852,578,498,748,089,007,363,453,672,029,
027,829,930,434,221,652,296,781,862,841,046,339,625,542,805,801,667,753,210,
081,549,941,543,512,262,680,394,247,983,780,594,399,424,428,839,581,453,592,
823,087,925,016,181,246,371,363,653,543,352,057,722,140,214,999,003,307,339,
510,115,618,922,589,372,275,197,798,140,207,334,415,814,851,219,546,134,510,
194,008,125,188,688,759,665,248,485,431,227,907,330,874,469,653,345,956,368,
179,119,512,904,059,175,759,521,662,483,946,908,557,190,482,944,880,968,534,
045,713,944,397,122,137,843,602,255,987,437,712,919,091,453,327,723,180,694,
893,864,471,050,909,932,809,542,658,228,650,512,625,461,807,521,965,059,375,
254,362,664,091,580,057,617,416,474,114,490,110,355,944,033,877,321,940,619,
939,738,448,872,909,828,951,039,682,054,105,065,788,282,716,557,880,337,014,
863,412,037,803,695,291,222,259,186,698,938,272,633,118,366,517,913,690,182,
548,205,753,166,119,272,513,972,181,486,283,695,551,681,958,042,209,857,487,
739,638,334,866,856,302,201,965,563,741,580,847,578,450,197,857,713,310,739,
254,078,916,112,430,888,814,317,115,182,313,615,363,377,848,022,856,286,998,
285,554,198,334,720,333,421,153,181,428,742,492,313,068,388,034,043,095,284,
244,764,640,844,328,095,235,706,878,791,598,116,316,834,425,476,923,004,317,
645,802,844,391,936,971,191,689,640,859,423,672,491,294,099,673,870,353,259,
430,656,829,359,314,287,198,117,842,486,835,930,191,399,366,395,499,169,041,
127,513,371,142,576,788,717,969,531,159,000,374,642,919,970,318,509,899,043,
408,539,519,424,289,454,047,510,154,282,968,954,935,256,131,468,678,586,286,
086,662,775,266,432,654,766,524,146,898,817,466,525,870,268,987,129,976,201,
542,481,522,819,957,135,160,786,130,223,341,470,626,948,366,745,751,807,392,
985,554,935,669,705,910,308,620,002,588,305,241,978,731,598,202,787,630,405,
660,501,979,106,133,276,098,258,207,152,030,305,466,980,389,446,891,945,236,
098,739,349,934,203,238,138,602,641,113,929,687,472,807,252,948,150,558,408,
381,610,863,756,872,819,591,192,862,330,147,174,896,751,324,514,458,640,433,
249,737,368,204,209,733,068,210,996,391,475,032,394,545,023,023,890,074,735,
144,213,730,627,188,541,444,111,430,500,105,752,554,676,434,186,104,349,498,
363,694,804,103,732,740,193,419,891,018,039,341,183,046,676,529,221,493,700,
515,904,558,860,071,882,879,056,640,160,755,887,884,730,690,524,564,960,498,
824,449,669,510,504,053,650,673,077,427,533,827,339,650,114,964,250,346,369,
086,152,510,234,915,281,102,111,691,205,197,337,632,963,225,988,390,955,710,
476,823,772,711,962,926,698,324,124,746,223,750,211,445,822,890,825,612,143,
129,887,207,627,275,927,515,247,404,478,603,827,886,413,696,064,602,779,546,
290,579,114,203,545,435,316,972,420,319,131,504,061,728,461,547,775,168,488,
265,064,949,331,331,016,344,724,109,023,343,323,265,179,218,307,954,671,891,
989,972,541,817,423,845,159,684,723,509,348,274,235,169,106,263,758,666,262,
281,720,202,385,678,849,963,677,714,636,633,771,268,990,803,358,956,254,060,
410,211,281,607,256,059,615,351,597,924,831,054,992,801,505,460,179,674,165,
737,368,075,343,309,792,572,699,147,437,027,288,847,374,407,809,358,627,127,
713,016,908,556,314,641,621,925,439,851,097,713,866,130,948,276,818,961,999,
132,310,080,179,549,533,748,968,902,703,049,968,178,936,297,139,779,112,664,
795,970,782,031,893,219,469,122,944,583,997,881,347,255,726,232,082,200,133,
268,952,356,872,368,188,271,465,219,036,115,088,620,412,524,238,616,852,142,
402,496,078,344,932,293,504,519,980,240,826,087,128,016,944,960,135,649,374,
642,475,232,016,980,859,143,794,143,015,411,430,932,347,427,345,778,211,712,
496,718,403,505,197,339,930,172,181,392,936,422,014,464,696,486,186,728,339,
284,743,860,714,124,041,691,866,114,726,818,759,884,003,224,544,938,514,277,
836,730,937,688,521,746,659,729,369,852,384,282,152,917,612,835,599,526,197,
880,968,133,800,052,635,451,741,651,938,495,788,205,477,283,128,945,530,219,
471,992,298,815,611,619,641,962,849,648,634,186,145,866,984,756,664,663,137,
812,542,250,025,325,926,825,357,213,552,817,916,716,356,994,647,925,987,826,
966,374,834,403,973,372,496,874,373,788,154,170,284,031,518,088,785,612,327,
621,330,107,900,906,143,684,292,392,881,551,211,429,343,551,385,642,993,715,
222,014,864,249,701,891,794,288,540,484,002,429,924,824,111,291,668,877,702,
552,625,171,118,542,861,115,469,776,899,237,857,965,219,129,741,269,059,371,
401,874,704,824,150,977,046,989,114,096,863,224,573,209,563,391,716,698,374,
468,624,499,693,660,030,770,602,816,657,416,984,662,994,230,122,702,167,955,
893,577,901,456,751,865,590,581,958,674,100,247,363,041,471,856,552,691,292,
471,945,831,869,517,695,484,063,849,109,874,250,915,115,620,461,282,120,045,
044,385,576,536,879,260,329,807,898,571,261,646,898,210,203,535,186,262,335,
025,051,787,842,900,252,340,274,588,389,628,433,492,676,338,443,742,796,492,
017,154,617,638,013,707,383,831,031,531,312,971,942,276,497,031,109,539,342,
833,559,110,696,458,324,650,321,202,540,002,329,137,885,935,743,881,958,924,
966,693,944,638,665,844,631,067,722,920,413,453,252,709,726,916,966,272,078,
089,005,396,430,278,980,309,574,647,064,427,226,067,005,987,534,145,036,181,
210,572,507,081,111,494,329,480,697,798,045,864,617,992,331,755,531,023,675,
137,062,480,582,311,904,529,405,311,128,624,069,249,617,940,353,984,658,024,
846,255,168,218,975,263,988,842,013,232,941,276,549,344,143,377,073,297,444,
390,213,647,051,718,589,612,909,964,180,360,530,579,892,035,537,448,960,960,
995,191,297,935,761,336,513,952,364,526,894,457,414,881,833,828,303,194,223,
424,705,300,741,264,194,431,304,138,748,564,699,581,661,372,857,663,068,648,
235,339,580,401,240,759,702,270,254,217,500,675,494,459,141,662,500,373,836,
033,171,794,578,339,195,805,993,753,962,202,188,277,907,937,041,498,828,648,
532,781,050,011,445,802,248,088,567,531,398,955,571,271,859,769,579,787,089,
265,652,057,848,079,775,643,758,914,809,333,313,399,993,248,769,710,101,671,
823,657,399,277,852,899,578,123,231,879,402,893,956,368,979,937,696,745,913,
929,621,887,240,101,513,002,688,484,224,412,903,645,310,519,186,170,236,775,
666,047,376,187,067,311,065,767,922,288,227,653,510,393,585,699,468,975,394,
505,400,352,916,925,171,550,542,321,063,815,340,025,607,787,117,309,494,086,
618,258,876,518,421,505,448,957,145,425,125,759,581,444,203,551,150,836,476,
784,973,947,568,453,280,642,859,186,479,384,543,567,429,404,538,847,810,151,
511,184,631,691,985,264,486,879,139,309,739,081,764,573,868,007,901,047,433,
672,955,927,223,392,466,275,814,334,739,290,177,933,876,602,311,830,727,631,
541,817,789,776,375,992,426,422,393,886,819,845,355,484,267,934,632,800,399,
911,390,208,289,549,547,280,428,249,666,934,089,818,220,851,198,027,124,539,
317,660,404,607,371,177,744,412,640,658,798,247,191,196,503,878,177,336,502,
707,650,205,767,530,984,191,540,255,276,276,426,778,407,864,258,469,020,439,
141,363,306,250,029,880,143,920,520,952,501,355,033,227,636,101,186,362,704,
537,951,426,994,464,841,538,017,703,338,439,741,371,242,971,410,313,615,720,
174,085,542,964,638,328,881,689,088,408,010,911,546,922,766,409,374,664,627,
291,406,164,589,306,005,366,482,585,705,647,336,120,606,429,801,205,358,742,
710,227,270,267,810,553,299,594,950,774,258,451,977,686,865,549,325,032,624,
882,175,884,468,362,660,677,325,385,653,522,970,297,472,835,074,362,323,699,
616,177,369,832,095,531,016,684,598,953,127,528,609,132,364,252,522,940,343,
156,955,188,164,399,301,847,877,181,266,519,250,448,402,136,188,104,460,683,
280,317,890,496,497,223,076,807,822,763,128,032,493,866,735,832,391,311,662,
442,534,041,443,672,333,807,017,379,744,588,189,399,014,580,471,438,147,825,
231,390,582,885,930,584,643,744,754,488,637,945,115,844,468,836,228,715,962,
975,504,443,679,695,831,121,329,757,483,784,102,307,877,698,004,716,074,340,
259,890,244,993,338,583,336,578,482,593,641,763,599,961,497,401,945,239,204,
363,498,554,269,695,371,061,579,680,506,594,162,741,809,849,264,963,309,331,
005,426,497,586,747,416,032,416,457,524,509,129,848,796,064,177,875,850,300,
087,635,422,497,470,485,536,113,078,592,403,110,661,717,914,852,275,550,229,
097,500,172,175,507,388,753,169,322,773,909,314,036,464,521,073,401,989,542,
521,343,495,208,284,939,678,449,844,642,821,634,143,301,021,193,773,770,275,
238,821,123,169,015,766,915,193,823,664,510,461,559,570,076,502,781,576,732,
197,813,979,916,047,959,091,071,589,896,707,979,828,685,279,625,077,054,135,
672,446,175,599,011,021,809,804,294,671,696,499,685,208,472,805,336,178,632,
186,845,684,496,918,532,694,563,652,142,567,018,825,557,811,403,639,035,249,
070,362,204,660,436,388,711,925,469,143,620,273,562,254,539,177,139,585,463,
503,324,384,607,230,382,422,981,838,637,527,681,616,823,184,953,761,014,801,
921,609,606,730,678,852,597,771,818,315,363,523,788,612,175,401,667,695,104,
052,328,334,431,309,234,205,739,666,467,038,820,069,769,860,986,773,992,112,
182,576,717,470,775,534,623,923,900,178,415,223,792,292,242,070,442,743,445,
301,202,377,700,256,990,715,346,291,944,928,698,183,316,910,447,019,333,093,
155,076,434,847,362,730,685,294,908,465,752,632,142,360,351,922,978,772,382,
535,620,626,349,438,087,121,958,651,424,710,146,105,559,984,399,853,654,015,
251,290,424,539,876,270,911,062,870,103,148,736,015,280,002,760,471,313,212,
664,782,612,635,066,687,812,345,022,886,033,067,361,397,680,605,001,161,406,
293,287,228,517,180,960,359,613,717,759,509,797,584,016,162,247,320,708,158,
694,221,128,345,712,846,802,968,040,331,380,836,543,325,987,511,131,820,095,
523,006,528,089,550,724,601,046,948,130,763,580,541,717,011,665,545,688,718,
470,367,308,092,667,809,567,160,509,276,558,405,446,185,380,641,900,608,031,
588,424,038,085,519,893,620,461,690,401,102,071,972,294,945,511,345,228,503,
691,459,200,936,257,790,256,010,448,333,804,112,739,339,831,902,740,006,309,
002,433,580,646,878,191,416,593,933,497,905,486,700,135,663,679,529,889,062,
515,573,799,079,133,058,797,838,177,828,608,981,570,230,946,767,832,643,780,
990,117,715,307,976,313,474,368,851,533,299,355,493,996,926,773,189,927,856,
144,558,262,713,510,964,875,495,556,657,909,728,489,469,899,276,012,218,961,
159,682,190,102,561,547,658,348,571,292,551,031,236,311,685,680,748,765,388,
352,851,951,209,281,422,282,950,960,554,430,413,941,359,785,038,625,231,785,
348,537,905,298,234,104,878,327,176,667,805,852,544,120,520,184,800,136,205,
831,131,081,280,143,424,946,212,404,874,676,988,837,558,320,792,310,795,405,
336,341,151,474,285,977,508,804,040,874,019,189,338,140,795,844,836,683,841,
507,082,712,293,386,741,824,525,707,992,988,815,145,821,277,502,751,352,745,
989,822,885,498,346,735,499,128,146,549,933,655,918,319,423,182,213,038,304,
944,304,163,208,823,922,370,198,003,293,649,902,043,856,844,594,938,094,831,
640,090,856,136,256,449,915,038,964,498,521,565,918,772,306,720,737,286,092,
855,520,348,225,959,832,388,788,209,339,780,846,072,113,107,417,093,759,479,
086,043,786,421,163,923,894,644,540,438,210,902,625,802,994,939,068,627,521,
861,142,430,754,525,270,184,652,944,377,898,503,747,616,104,141,048,351,950,
010,778,523,227,228,955,188,849,049,525,185,041,795,380,823,616,225,495,921,
824,329,338,919,391,933,722,215,646,733,749,646,225,300,810,682,546,117,728,
793,139,876,417,055,915,556,827,468,414,242,321,394,385,751,239,922,865,215,
275,670,361,692,841,630,660,729,367,590,900,935,066,159,002,140,007,619,731,
765,090,740,253,021,632,979,493,280,304,811,184,022,083,901,329,786,759,080,
113,198,772,191,106,243,447,348,834,749,919,473,457,360,041,277,281,120,889,
087,075,153,994,371,570,323,445,021,567,666,284,044,332,932,897,493,032,193,
742,009,021,395,874,511,067,671,740,870,339,615,853,412,219,297,033,943,983,
153,275,415,014,702,062,554,631,606,613,637,526,697,460,450,123,598,457,387,
098,602,537,187,270,596,042,787,973,705,655,336,936,839,323,008,200,599,285,
662,676,483,600,104,580,542,056,872,768,270,929,337,338,495,835,037,122,158,
572,426,521,335,795,779,619,009,832,143,542,810,501,904,212,776,529,660,103,
653,899,203,457,171,692,373,804,270,832,753,873,679,724,774,942,149,475,657,
878,212,248,502,201,524,171,185,067,094,109,407,958,076,259,376,836,848,501,
386,802,990,048,217,556,402,994,186,072,054,684,842,305,890,415,900,654,858,
722,664,964,766,653,433,689,981,853,784,556,871,839,888,028,164,010,606,052,
838,729,158,688,665,294,487,993,517,457,763,952,212,575,887,123,908,545,773,
758,157,731,598,779,127,031,510,436,908,019,381,066,385,739,027,529,291,242,
473,286,397,780,464,027,863,392,734,245,304,797,275,332,366,878,923,136,410,
428,818,102,074,287,917,044,324,522,288,725,273,088,916,793,991,847,383,974,
847,241,474,169,645,950,868,802,195,353,924,373,496,816,805,162,905,226,286,
106,926,007,204,503,716,926,313,294,421,938,767,986,840,025,256,876,188,176,
558,585,588,978,328,544,075,523,028,099,044,259,360,747,419,915,400,844,295,
333,325,715,544,421,997,468,144,393,454,703,778,286,137,169,807,635,685,300,
446,749,485,013,580,921,006,899,605,144,801,128,837,308,365,087,952,296,191,
420,105,990,477,777,873,799,963,639,068,346,598,393,885,091,177,822,179,494,
305,168,467,132,511,080,970,794,465,918,020,417,416,701,029,995,798,887,779,
484,769,479,742,576,878,063,822,335,907,248,066,568,148,057,849,826,592,717,
942,085,958,572,816,439,944,463,568,299,827,256,715,727,179,855,605,723,430,
157,365,490,885,950,591,415,539,341,434,796,770,698,604,929,768,531,107,786,
257,752,399,223,464,665,267,710,080,813,527,468,097,563,513,560,237,654,518,
935,533,591,952,139,266,692,034,364,145,409,292,846,956,796,495,033,804,388,
230,139,209,212,415,527,547,653,282,271,924,989,746,956,882,434,006,545,955,
262,635,218,996,955,229,379,032,831,489,235,372,358,318,824,105,753,847,772,
984,024,465,567,366,558,031,215,908,778,079,778,185,042,023,558,193,399,053,
171,985,855,145,573,788,637,712,951,999,427,644,098,257,952,368,767,855,019,
229,643,730,749,197,451,528,291,357,857,638,965,764,924,017,218,657,869,535,
645,590,527,028,024,641,320,584,021,964,124,293,972,148,160,312,789,938,787,
413,357,428,752,574,539,213,020,837,640,786,098,594,632,493,617,837,574,376,
293,457,266,545,112,732,820,379,405,389,425,411,369,986,772,309,907,176,570,
874,907,496,155,040,449,033,462,475,864,026,345,316,249,019,566,884,529,495,
845,853,801,097,414,829,406,064,979,568,788,070,952,344,321,767,272,175,719,
195,128,744,471,988,720,223,596,099,066,109,857,245,992,964,485,111,439,702,
898,416,468,056,963,468,261,988,416,478,893,799,329,363,456,182,031,619,925,
790,560,954,253,916,189,909,980,358,657,046,102,695,389,286,496,583,651,214,
954,234,856,490,090,833,997,238,693,431,421,230,857,596,617,269,496,440,769,
958,257,170,263,442,564,127,407,634,441,272,251,594,714,059,260,494,014,897,
391,444,799,182,528,181,840,797,182,599,628,005,525,855,544,571,985,569,185,
894,491,438,349,768,811,387,531,966,566,706,838,342,831,548,244,680,924,004,
152,033,419,658,916,956,709,543,893,334,343,518,764,159,931,565,690,650,618,
072,330,111,452,716,673,663,985,440,734,516,225,601,296,463,919,581,110,683,
492,369,120,023,462,877,197,355,581,895,011,670,209,463,274,776,065,240,258,
482,698,058,582,315,054,321,813,417,344,037,806,566,601,214,456,792,645,777,
845,458,873,515,320,885,678,276,269,757,177,625,187,868,582,921,841,382,164,
795,004,032,491,105,712,237,010,980,888,804,801,817,525,003,918,599,576,521,
097,437,079,642,532,405,694,939,214,473,741,840,436,698,082,990,587,407,133,
416,773,235,406,588,658,681,194,802,219,103,936,398,457,020,595,344,191,800,
046,095,762,033,298,741,942,314,740,381,964,722,764,082,706,694,540,228,040,
954,275,887,550,472,255,407,346,740,966,905,695,527,238,649,833,025,362,937,
999,622,018,262,360,710,153,086,481,651,672,902,773,927,702,329,099,350,642,
570,260,803,981,541,323,110,844,334,527,280,676,395,517,922,951,988,327,820,
329,098,374,685,222,178,520,218,777,210,741,874,607,817,460,913,540,491,410,
522,869,964,555,236,670,924,331,337,052,076,723,615,859,243,696,168,116,983,
029,480,617,827,299,345,606,392,392,546,913,396,607,034,740,085,949,266,695,
595,549,260,234,758,086,019,946,726,246,242,257,576,509,201,050,148,881,391,
423,038,898,472,895,775,607,917,208,506,682,300,295,418,120,221,135,889,866,
027,625,847,652,683,064,198,801,841,023,636,928,875,162,961,826,427,424,129,
151,808,931,970,913,354,769,573,285,407,299,718,039,100,731,773,968,683,116,
430,503,214,541,355,289,305,773,046,572,752,141,286,155,479,400,719,773,293,
500,528,767,544,233,494,308,310,493,072,255,676,913,693,108,379,680,486,991,
987,635,511,712,567,213,145,741,935,800,527,767,397,793,994,015,576,546,525,
703,464,834,286,554,765,111,670,413,019,094,865,904,883,218,895,276,885,282,
672,240,603,699,108,229,103,301,986,532,508,370,573,432,074,086,476,861,634,
348,112,317,178,991,382,522,900,475,999,375,550,886,271,867,517,038,796,758,
204,395,237,324,450,304,373,750,915,677,247,797,100,660,221,166,755,106,714,
210,726,593,511,182,719,847,817,670,190,849,151,125,181,413,071,495,969,969,
167,062,802,821,672,790,094,099,065,608,874,440,772,685,825,564,952,248,334,
847,754,796,875,724,063,730,046,837,568,536,162,984,479,495,094,107,871,423,
236,165,909,336,789,094,694,035,291,243,100,625,128,631,271,993,384,472,200,
430,898,128,770,772,849,086,630,903,904,144,131,557,783,029,157,412,115,604,
735,923,547,289,711,188,815,264,642,977,762,767,625,203,907,154,618,266,813,
894,291,794,205,212,725,315,050,478,771,322,927,038,255,145,667,911,308,896,
307,060,710,814,956,492,747,261,403,994,236,165,695,028,056,289,583,560,917,
340,382,219,823,740,718,154,844,967,322,074,105,042,433,829,082,887,306,562,
923,931,440,809,677,641,763,408,966,302,899,092,362,153,480,628,365,339,244,
643,323,019,937,513,264,611,806,738,496,938,767,476,361,774,650,246,928,228,
643,179,698,564,834,578,682,500,487,591,021,239,398,220,575,358,239,290,579,
937,181,409,044,983,801,883,669,573,218,309,562,297,792,769,033,201,209,920,
846,042,558,460,612,146,073,493,944,878,740,703,824,666,693,071,179,819,022,
686,065,481,716,459,649,313,998,724,475,553,146,249,608,394,304,146,580,331,
479,664,696,593,608,809,167,547,572,860,201,937,397,071,306,557,651,224,986,
308,256,627,811,519,583,374,754,147,006,698,929,518,640,774,580,666,288,652,
070,698,086,703,562,450,726,724,848,430,161,838,591,452,890,318,231,539,452,
511,040,489,874,368,118,173,612,126,286,173,932,529,005,463,706,853,604,655,
732,494,715,444,238,933,139,336,451,455,242,626,100,892,200,840,543,658,638,
375,877,846,690,096,236,085,353,557,543,804,583,027,865,056,419,770,870,964,
586,877,231,697,461,823,659,426,026,611,111,530,343,858,124,784,799,484,933,
277,217,827,976,460,387,136,773,153,377,798,001,136,734,216,932,833,328,201,
037,797,297,795,418,227,072,511,403,251,087,203,764,580,313,400,278,486,092,
521,306,615,523,542,548,637,642,235,176,557,303,099,982,743,301,348,323,594,
776,316,100,479,131,351,055,305,777,642,422,402,527,887,111,829,980,448,309,
707,335,436,470,432,485,599,887,948,340,754,066,313,796,908,816,161,430,517,
071,361,103,491,339,869,292,323,352,601,814,512,422,636,274,631,618,996,169,
699,604,004,873,497,045,743,720,937,044,235,960,386,980,932,929,126,825,405,
181,629,178,123,134,577,417,683,345,077,729,622,575,416,813,241,280,433,625,
385,026,396,120,084,873,183,357,315,699,844,504,479,632,388,245,288,784,814,
211,001,720,456,598,244,210,835,673,902,515,924,518,182,953,226,140,833,350,
313,383,147,673,366,830,718,546,926,543,642,018,141,451,546,706,221,274,323,
762,413,223,307,788,064,854,965,232,826,652,549,830,178,884,822,896,902,222,
868,258,050,331,417,970,352,134,643,501,498,196,221,088,230,047,174,683,481,
458,562,105,432,718,658,420,228,059,102,657,760,563,655,210,754,540,671,939,
257,310,925,655,440,564,345,721,558,950,840,475,965,983,363,704,817,101,900,
791,010,572,712,524,930,275,545,338,674,818,107,045,756,512,433,123,142,639,
954,215,500,862,099,660,512,414,345,207,414,390,688,246,323,469,496,892,581,
965,892,806,961,322,911,644,666,776,414,028,163,796,422,376,692,736,517,319,
088,918,179,986,430,773,803,008,229,409,893,485,633,047,437,242,824,491,992,
668,106,036,176,172,380,895,008,803,493,468,409,389,240,328,945,538,972,531,
784,077,692,429,954,597,145,199,787,391,096,915,098,011,831,275,558,189,959,
123,229,447,608,127,578,798,551,045,049,484,093,008,123,140,707,745,449,436,
440,236,752,800,948,707,620,070,924,398,740,363,655,377,467,473,565,541,063,
070,495,609,460,406,372,082,406,554,702,339,465,552,990,220,330,211,640,662,
466,547,324,549,516,401,030,839,183,085,606,180,018,754,729,549,679,222,406,
490,250,902,704,370,655,498,569,073,581,266,109,917,442,228,507,345,272,240,
377,347,778,217,862,807,501,861,501,996,788,009,099,816,103,456,010,733,607,
773,899,717,231,487,392,587,740,583,108,572,838,800,034,244,416,900,574,113,
670,990,654,562,988,581,878,276,463,467,038,840,778,401,655,632,327,131,449,
876,697,129,451,087,667,375,857,737,293,372,439,883,346,538,659,771,653,740,
726,104,864,287,933,809,965,447,596,214,033,721,669,869,736,134,586,814,822,
755,423,209,782,284,698,859,805,006,556,519,060,154,418,317,786,124,075,523,
011,898,840,307,898,008,301,467,347,348,880,544,685,906,176,811,986,133,882,
555,965,075,298,959,902,917,065,243,833,286,132,730,589,502,247,194,633,071,
824,231,225,620,914,013,787,694,177,154,174,956,293,472,786,606,973,738,468,
302,763,427,028,188,619,519,569,749,935,732,593,344,684,381,301,983,958,586,
749,236,676,061,311,845,499,399,259,138,146,503,795,740,662,385,113,102,788,
175,633,876,062,256,941,506,539,293,086,146,973,746,092,493,501,322,331,904,
623,946,473,703,221,933,321,108,863,329,722,887,614,394,076,967,770,693,311,
915,341,893,557,832,926,049,054,641,663,471,216,204,164,316,164,491,799,220,
120,807,270,881,124,577,765,986,554,515,178,598,409,878,785,558,693,600,771,
878,678,424,969,156,407,046,142,946,340,460,165,050,723,283,645,065,523,453,
484,510,075,507,322,609,407,245,155,079,023,710,767,327,597,292,599,358,198,
694,771,501,748,219,498,786,076,091,887,993,910,174,666,564,116,029,280,932,
549,358,728,683,251,077,832,211,566,138,734,971,951,627,831,862,033,505,324,
726,775,316,130,183,740,238,571,067,722,302,047,277,643,773,857,511,975,916,
746,245,717,623,820,401,946,059,580,290,012,182,580,943,094,741,565,202,585,
970,635,622,603,233,976,498,278,027,224,328,882,951,250,296,010,129,839,401,
405,434,966,598,926,119,484,108,931,384,493,407,966,010,586,215,157,112,525,
157,814,018,346,470,436,744,912,443,447,622,208,414,203,908,803,955,039,270,
782,782,968,301,408,940,769,595,933,159,880,292,654,569,849,845,719,993,236,
781,655,724,236,051,519,299,884,672,423,897,657,383,539,523,872,667,506,224,
609,620,954,091,055,425,284,670,602,110,987,040,329,443,473,989,209,989,105,
787,561,240,473,675,712,338,144,960,413,372,418,474,266,807,395,018,986,399,
133,533,591,984,709,184,381,771,330,655,144,570,323,770,096,585,441,318,808,
642,349,285,856,041,129,487,635,151,447,526,942,072,357,844,217,007,333,879,
403,268,540,957,698,612,802,166,300,573,498,229,305,909,562,401,769,820,331,
131,171,094,500,147,899,345,235,869,821,608,958,718,687,733,165,582,285,305,
734,102,220,882,826,663,043,869,140,961,712,975,275,082,575,541,387,871,616,
442,362,108,005,785,673,096,896,959,841,574,250,273,098,971,631,493,183,234,
165,277,127,934,765,033,870,157,704,573,709,819,824,257,830,364,309,187,260,
231,673,664,154,803,463,351,834,726,413,021,232,082,600,539,995,764,641,040,
209,504,300,419,753,977,222,891,897,258,090,651,100,944,333,800,606,694,766,
444,856,531,463,908,159,073,487,540,373,645,443,529,778,695,845,568,411,146,
242,420,569,401,786,800,409,655,370,037,976,798,140,268,369,500,712,377,199,
816,817,120,809,550,165,765,144,924,121,002,614,504,613,349,908,531,967,518,
276,566,331,424,643,734,034,126,097,429,729,404,060,342,710,647,809,708,008,
388,814,196,494,014,472,406,991,388,520,153,777,639,747,176,367,012,696,427,
163,111,714,223,597,557,708,039,670,434,214,862,013,980,224,832,711,733,370,
653,674,890,585,203,381,233,507,221,361,558,324,610,417,678,448,802,098,036,
064,253,983,724,105,759,579,590,456,839,042,478,081,355,531,494,534,090,990,
830,391,725,776,693,018,988,185,950,399,628,921,308,179,438,392,222,043,872,
406,634,245,287,761,555,528,763,035,758,992,786,322,244,426,890,129,252,036,
111,161,451,760,795,961,683,941,901,790,224,031,213,312,607,553,248,302,528,
247,561,346,594,289,051,872,416,917,759,135,217,957,968,969,219,790,161,320,
831,764,608,454,503,717,050,604,116,451,308,714,847,833,801,466,906,192,984,
196,569,095,447,687,531,156,818,496,042,591,565,604,990,571,913,085,360,040,
928,452,781,701,663,671,340,260,963,590,369,009,226,554,020,002,983,911,574,
337,260,514,540,388,963,378,461,505,602,280,618,410,325,088,634,734,484,956,
652,705,621,264,201,300,891,740,214,799,806,573,449,630,632,936,646,724,141,
608,791,909,056,812,300,258,909,534,699,421,611,805,913,611,904,834,872,312,
664,915,852,978,683,930,585,487,287,890,367,223,542,825,128,856,477,423,229,
595,100,933,053,548,510,361,076,537,568,067,210,040,288,834,654,167,761,329,
195,651,826,649,670,850,862,020,672,358,496,412,909,536,141,671,927,748,173,
913,853,469,368,094,461,515,863,588,809,155,236,268,740,072,724,960,190,034,
036,371,177,955,348,609,983,946,677,057,557,622,807,399,059,345,911,254,814,
464,595,199,136,255,393,785,005,077,921,723,858,365,141,261,956,453,404,515,
938,424,003,082,652,323,779,928,782,274,506,387,137,257,369,798,118,844,337,
619,949,356,081,398,809,443,292,439,696,357,504,467,333,408,046,227,134,522,
902,334,904,518,902,213,218,867,212,955,858,569,867,964,707,604,846,982,013,
469,061,419,255,904,359,440,134,501,661,474,590,635,274,360,270,088,424,466,
296,522,596,024,214,071,202,552,618,570,724,692,851,111,021,041,867,481,410,
412,056,280,109,918,915,383,504,451,688,612,740,362,653,801,718,972,039,602,
902,249,383,602,418,562,843,769,504,091,539,534,994,415,741,378,953,804,195,
316,209,236,994,257,916,954,960,623,379,577,925,153,918,765,511,229,711,600,
914,760,533,465,146,894,285,929,668,269,180,122,184,793,518,198,917,086,427,
912,282,632,374,090,110,156,722,568,762,098,598,065,071,238,593,264,875,931,
441,261,983,946,541,689,773,106,398,791,521,896,943,122,052,394,643,302,364,
118,215,545,883,397,112,946,909,907,606,368,715,592,649,747,160,389,363,899,
094,103,181,662,142,603,768,979,978,228,992,807,264,915,992,821,056,216,938,
840,447,538,621,858,879,977,271,103,195,960,646,380,992,935,069,571,288,572,
425,631,172,915,134,543,348,865,275,031,535,337,413,901,369,448,771,316,931,
875,115,750,685,100,812,841,134,576,106,722,723,510,346,439,653,235,181,047,
735,017,532,656,752,661,006,326,844,528,626,745,391,250,167,482,708,280,101,
309,820,022,165,826,742,129,824,584,265,780,539,206,341,307,427,106,676,564,
986,895,926,298,128,713,783,953,865,280,127,189,158,497,920,767,166,256,717,
275,314,551,612,403,369,618,088,971,878,286,922,612,963,825,629,715,793,490,
311,163,610,935,853,147,960,944,147,197,037,295,417,095,068,042,353,512,570,
538,733,687,628,635,391,582,200,213,916,089,977,488,359,448,565,201,833,707,
389,448,889,276,240,466,108,460,221,861,238,521,464,206,590,366,427,238,610,
467,901,150,516,748,137,435,725,546,681,763,325,337,026,111,278,085,188,199,
616,779,886,083,336,998,644,866,167,073,319,613,013,020,106,086,099,514,249,
900,166,964,706,742,243,107,510,915,720,954,438,002,858,776,099,684,853,336,
486,032,583,451,339,837,474,738,968,130,899,135,320,889,265,023,060,460,709,
396,691,672,035,457,597,928,016,998,080,896,544,944,618,216,178,333,056,151,
527,625,426,755,305,743,073,673,680,538,321,281,747,810,610,269,656,674,139,
647,879,064,892,841,233,481,986,434,284,873,242,933,383,781,186,956,770,834,
583,338,104,029,585,319,339,278,118,852,411,432,298,881,807,727,274,379,028,
456,644,298,313,751,340,574,316,728,796,088,265,863,158,414,627,162,737,778,
156,797,092,256,267,594,812,509,440,810,327,657,259,059,701,667,931,123,273,
877,650,493,265,377,102,205,174,753,675,150,500,388,031,000,617,856,850,823,
684,336,928,070,555,332,055,769,000,959,320,703,575,414,562,470,305,302,879,
328,699,491,895,486,883,319,653,292,559,198,284,343,758,667,609,478,393,603,
119,507,806,916,165,392,415,581,638,552,709,751,274,172,605,997,753,687,936,
485,700,299,196,181,581,848,265,393,608,758,642,660,151,719,734,640,164,766,
306,979,408,270,631,378,230,894,565,139,532,001,382,517,240,971,338,764,714,
839,393,169,626,241,465,740,307,505,844,222,880,117,120,273,028,254,048,902,
931,726,724,401,116,663,065,321,816,784,861,934,620,591,289,692,760,159,050,
521,956,676,755,696,678,198,157,920,326,930,574,842,442,818,124,183,948,901,
366,113,869,800,360,319,163,781,359,888,364,408,216,078,549,793,381,347,020,
370,206,327,218,011,121,738,229,505,179,691,711,321,830,333,953,674,759,313,
370,819,045,158,711,911,805,017,219,788,684,149,287,858,755,762,807,004,899,
655,115,790,760,120,102,381,839,103,289,357,459,541,172,217,853,333,528,844,
584,521,401,795,607,346,720,869,837,024,197,957,934,872,713,602,062,513,173,
100,183,482,511,735,485,096,802,536,002,140,003,767,462,527,439,031,465,810,
536,661,017,318,395,047,045,252,652,458,073,080,334,311,436,972,128,596,774,
169,520,132,315,269,892,166,471,821,679,306,568,606,010,954,001,505,743,198,
403,676,899,550,945,281,212,751,065,087,785,775,726,616,393,734,565,509,082,
681,151,419,869,235,321,013,730,060,640,568,695,688,538,205,186,614,859,274,
435,466,959,470,548,808,261,340,196,504,809,750,646,112,656,220,080,446,867,
925,950,144,780,612,997,737,750,934,048,865,223,868,969,779,954,823,457,427,
934,425,458,042,120,660,014,967,507,062,654,956,195,185,903,623,404,715,780,
374,129,579,212,981,149,398,146,432,670,380,991,040,847,415,305,056,478,981,
599,827,305,595,971,272,812,569,115,845,051,670,114,333,961,987,680,486,753,
670,923,686,962,767,936,463,600,848,334,936,256,742,925,310,672,601,209,435,
776,544,147,934,904,894,641,895,202,530,983,086,099,310,883,118,172,560,117,
794,590,104,931,973,848,916,429,858,767,685,539,002,146,465,265,481,470,895,
493,468,372,425,548,536,551,009,375,316,855,741,496,495,326,752,731,518,822,
787,590,701,392,741,997,430,048,756,828,464,514,433,416,831,839,161,149,689,
272,180,901,143,162,996,597,568,519,188,743,071,593,545,240,492,221,642,827,
120,564,934,808,892,948,111,042,502,521,451,569,886,237,734,857,928,872,825,
965,502,896,954,618,985,735,409,986,276,863,699,337,304,027,275,243,906,163,
687,093,036,800,345,202,407,809,202,563,597,491,664,433,094,644,470,941,242,
246,027,453,641,333,261,499,803,419,835,459,239,288,104,821,306,744,564,576,
215,103,349,586,246,084,837,537,188,137,258,224,525,835,133,194,908,652,150,
624,710,085,935,315,974,876,603,622,152,905,406,814,057,662,037,114,556,538,
615,032,346,522,606,773,522,468,661,671,946,796,418,882,327,882,966,651,961,
697,240,594,490,463,803,069,976,521,233,843,685,747,638,518,970,461,649,739,
320,220,817,572,117,064,957,627,439,043,206,125,182,667,337,372,531,635,610,
578,141,375,371,852,503,400,863,957,645,265,247,191,606,017,242,103,992,049,
919,639,041,462,730,592,818,084,517,981,748,337,572,595,212,478,104,166,716,
197,285,812,444,050,754,304,448,336,067,253,167,467,841,619,967,881,043,820,
721,334,355,845,728,033,790,189,904,588,808,507,748,728,380,616,568,463,618,
921,673,659,389,452,415,104,546,742,416,670,063,788,556,508,401,429,297,716,
083,395,231,725,078,635,326,946,257,931,798,887,396,078,778,050,188,906,447,
879,324,281,869,457,342,212,055,874,292,022,436,369,761,714,416,728,335,642,
668,498,870,776,189,845,645,126,598,254,989,715,235,993,477,605,452,273,623,
314,848,733,149,698,962,181,579,808,591,517,986,880,649,832,022,924,161,679,
837,799,309,533,525,040,806,793,928,343,926,810,138,002,283,870,904,128,534,
310,776,906,368,978,083,590,178,945,727,369,058,575,185,820,745,965,910,335,
671,829,779,994,546,755,767,694,379,658,514,859,934,676,488,689,210,935,866,
894,806,444,694,542,189,683,020,275,036,403,373,858,771,464,643,062,400,643,
793,144,530,609,793,303,778,816,193,677,967,827,415,189,846,983,071,332,024,
727,520,148,695,105,811,998,414,503,515,202,082,592,257,210,745,801,258,973,
430,813,227,004,529,317,037,994,571,632,037,961,932,524,591,712,002,378,430,
782,292,792,039,115,309,402,306,918,921,582,221,570,321,288,592,105,344,943,
176,197,435,265,177,234,424,911,804,369,428,478,709,113,580,978,142,757,005,
403,447,949,570,166,293,038,418,756,203,227,686,084,348,596,760,551,483,962,
223,003,947,897,739,502,455,417,843,797,209,291,884,510,779,552,326,652,639,
606,602,371,577,762,456,740,518,573,004,211,233,452,627,004,112,659,141,374,
390,758,744,250,897,647,018,937,222,194,697,134,140,837,299,756,057,010,419,
958,183,447,418,385,158,741,992,871,803,172,889,855,326,689,269,427,481,278,
006,548,142,707,181,993,274,865,119,118,429,711,141,266,202,931,288,725,067,
791,404,199,407,506,526,598,862,898,875,602,645,918,781,500,098,928,951,139,
287,374,070,773,762,020,430,905,048,447,910,344,191,042,215,060,625,436,642,
543,375,775,377,768,441,694,724,686,325,257,530,424,095,260,378,275,014,277,
463,992,127,201,339,790,158,159,564,389,803,688,676,863,504,832,095,534,612,
728,533,518,130,523,681,082,438,967,774,305,897,917,221,251,506,655,066,993,
501,244,869,410,404,862,794,250,065,977,493,052,479,598,993,410,646,516,196,
584,239,937,176,617,656,427,775,393,745,695,309,147,210,201,405,074,085,413,
158,937,957,768,147,014,889,455,387,100,086,684,710,691,371,942,159,891,532,
830,308,759,978,641,844,505,722,569,753,302,367,390,140,784,328,767,822,844,
627,398,826,333,511,522,356,196,391,420,408,514,189,337,226,375,733,391,083,
580,371,049,811,194,362,426,449,837,296,324,222,942,121,534,647,898,131,827,
352,051,249,921,743,245,904,140,832,721,353,213,266,744,511,258,714,166,538,
641,704,210,440,707,434,140,420,036,395,685,288,773,628,880,599,953,649,013,
598,491,487,335,789,701,721,960,078,156,583,163,063,277,980,721,311,036,668,
425,709,006,320,185,072,023,742,721,144,733,075,573,774,070,342,353,983,055,
715,010,724,756,595,759,226,600,468,575,471,878,283,579,392,214,386,234,973,
007,824,618,685,285,306,825,083,881,512,402,282,287,509,804,539,541,723,568,
769,199,246,527,322,517,366,528,308,540,658,582,042,689,705,299,114,330,275,
358,966,667,371,770,133,062,651,246,074,377,366,477,678,111,979,167,811,122,
174,862,163,113,707,010,689,028,829,981,161,652,265,467,409,294,338,764,845,
440,221,267,439,183,352,458,239,991,926,877,749,009,558,267,344,265,505,738,
266,681,348,817,451,688,235,192,454,389,469,689,213,657,188,798,352,596,929,
896,882,449,954,945,953,771,726,548,418,534,545,148,502,699,309,306,248,908,
074,241,208,095,468,157,715,153,364,427,868,321,684,709,614,435,209,443,766,
189,511,470,278,806,174,734,739,478,064,886,210,053,101,625,169,373,934,194,
818,311,621,587,889,018,923,738,573,105,232,928,993,097,056,234,347,828,045,
901,783,050,257,954,852,289,578,846,153,300,146,625,854,487,640,062,930,748,
660,399,297,161,092,696,293,063,124,000,701,448,344,184,610,737,070,098,627,
701,869,848,412,614,817,317,588,323,875,988,990,775,030,004,743,997,389,683,
191,309,972,691,634,885,018,515,393,342,905,769,720,611,930,103,546,214,573,
069,266,421,397,198,899,347,046,488,186,999,347,090,829,818,909,039,410,508,
190,155,305,355,734,863,467,340,158,611,994,235,028,234,254,439,049,365,657,
087,601,408,639,292,973,272,531,422,445,134,514,543,219,104,098,151,343,733,
788,959,374,680,173,879,392,222,884,440,936,607,180,248,443,236,429,790,928,
125,704,684,492,051,847,491,281,003,566,254,092,326,322,755,269,465,837,778,
915,296,625,748,986,678,120,157,119,867,021,090,675,394,225,278,111,874,831,
840,872,077,325,168,683,530,408,726,460,451,294,300,458,724,026,983,288,334,
180,610,178,751,477,277,965,437,688,505,763,341,446,945,421,060,790,367,765,
451,709,597,407,349,689,690,682,410,178,288,440,219,815,995,521,845,041,372,
139,999,231,188,727,188,548,730,930,473,569,482,572,778,215,410,364,445,319,
755,908,399,324,418,531,876,481,906,070,300,981,943,586,185,539,228,324,832,
219,182,710,930,442,719,023,487,060,047,341,508,005,101,360,723,854,224,465,
742,298,516,511,214,323,443,532,692,899,569,688,283,174,075,380,166,039,644,
163,598,011,709,071,048,831,595,164,888,930,414,744,614,598,668,187,605,723,
500,008,041,157,153,096,229,084,465,416,502,064,130,016,509,940,467,425,084,
985,546,522,557,063,799,796,298,637,192,252,213,619,987,744,391,403,530,708,
203,890,349,041,416,106,359,004,141,135,752,870,487,172,167,605,949,733,414,
388,008,834,094,227,602,029,509,822,403,350,837,289,662,717,499,949,032,821,
072,684,532,718,109,885,941,509,837,683,074,555,842,476,180,920,566,649,748,
160,223,393,876,061,402,623,911,225,530,030,937,391,593,270,435,817,914,319,
236,099,511,260,812,812,401,307,868,452,912,710,278,755,388,246,694,427,272,
688,047,139,433,467,887,560,062,292,616,155,312,631,730,467,623,067,694,423,
941,545,285,823,780,076,565,633,192,520,422,602,603,136,171,665,121,269,508,
716,045,484,364,220,887,459,878,632,664,491,794,557,486,915,194,467,320,831,
941,591,566,273,330,223,512,740,730,274,032,901,465,887,839,711,245,328,647,
393,501,839,125,682,885,728,361,095,417,723,445,182,665,740,126,772,152,057,
942,363,275,859,776,876,934,852,280,558,322,617,953,602,758,575,096,792,720,
011,210,813,986,681,918,657,195,137,172,051,542,575,590,526,832,560,362,340,
102,529,886,086,425,618,413,226,115,050,369,180,680,313,113,814,266,220,450,
359,350,532,674,361,795,214,498,900,938,900,533,199,219,467,926,909,012,862,
994,631,589,808,401,906,270,434,184,969,933,830,225,168,251,077,724,538,227,
055,779,629,136,078,682,459,164,082,306,003,127,607,425,210,400,047,687,878,
829,951,448,544,054,892,209,863,073,679,312,009,975,181,656,251,431,840,918,
085,521,727,376,382,189,964,250,679,432,301,830,609,208,333,700,938,768,414,
571,692,770,827,272,335,776,008,766,858,512,650,957,296,097,980,226,292,403,
756,711,345,390,452,475,796,415,074,851,358,236,688,973,372,069,999,963,676,
765,664,500,666,212,388,435,429,797,755,358,355,258,428,077,838,748,938,350,
408,203,172,414,411,129,772,147,375,769,020,965,482,709,801,358,119,256,813,
464,975,563,059,395,172,852,968,318,257,257,910,799,400,117,321,358,546,771,
579,082,290,048,757,204,275,448,956,895,027,726,289,349,879,777,085,504,669,
919,978,662,420,631,924,911,129,946,177,829,985,302,128,891,350,198,494,998,
959,817,051,252,743,488,590,772,749,541,717,700,967,214,449,428,951,401,578,
102,592,833,798,136,294,787,155,103,028,005,990,736,290,271,023,538,951,756,
922,199,538,432,649,221,574,860,933,833,069,895,702,655,324,240,052,767,695,
273,888,041,766,525,341,509,402,702,375,169,482,701,211,974,301,270,943,407,
301,210,959,630,132,208,864,856,226,687,414,749,985,632,014,298,661,305,788,
493,710,424,569,665,524,191,264,461,654,520,248,499,357,297,819,258,020,375,
542,346,082,779,286,410,118,121,509,888,429,814,800,013,288,114,662,565,061,
292,049,029,383,340,635,969,518,631,973,413,641,906,578,718,467,743,460,706,
672,693,346,194,022,750,179,093,009,297,495,324,150,413,751,469,081,085,412,
446,757,087,443,856,180,632,790,242,697,531,337,826,835,080,295,385,656,926,
976,799,960,112,120,346,340,323,944,077,994,060,889,753,681,822,482,322,456,
196,646,455,626,020,904,199,672,383,719,246,595,005,449,610,084,500,469,108,
961,172,509,999,921,406,328,160,294,002,153,611,215,620,455,515,541,577,700,
424,253,575,869,898,038,381,870,710,592,000,082,016,667,059,204,532,062,101,
948,429,607,516,475,491,584,987,481,784,833,493,238,655,056,916,901,338,577,
943,691,504,787,856,459,601,972,181,313,327,156,017,098,601,468,464,278,777,
609,060,197,895,204,671,667,238,683,157,481,828,709,481,459,559,714,865,757,
505,131,965,464,680,612,370,532,659,042,111,425,862,071,840,869,662,825,662,
073,349,995,477,147,336,119,388,758,641,803,374,183,175,216,405,721,597,635,
335,278,572,155,349,809,403,883,927,016,487,876,900,362,247,782,319,172,655,
850,202,823,510,225,001,722,823,063,468,415,240,090,728,559,473,643,628,467,
412,745,125,116,778,158,724,134,545,508,912,486,316,653,711,061,377,044,164,
547,322,620,031,065,937,080,510,868,539,618,242,041,214,067,056,230,673,558,
533,514,592,408,240,739,384,990,516,956,261,361,112,480,390,965,895,774,135,
138,731,702,285,226,072,514,862,791,798,693,590,860,488,532,327,431,748,197,
970,743,125,091,008,210,442,800,001,130,743,048,821,337,035,987,232,117,454,
336,401,159,090,553,258,078,081,138,821,006,768,189,475,836,749,262,317,954,
858,918,477,141,405,103,379,299,280,977,495,192,603,511,002,773,322,583,030,
594,500,849,074,596,952,185,118,633,747,634,543,779,205,109,872,776,131,925,
189,724,187,690,130,439,577,067,232,842,581,370,295,708,030,568,019,603,650,
527,468,018,508,731,600,445,614,467,480,909,891,496,600,487,305,812,155,325,
880,421,293,441,203,506,852,302,176,113,723,350,385,855,759,833,250,976,346,
073,924,470,150,450,293,998,708,889,925,246,153,933,167,533,868,614,021,226,
386,804,971,923,967,812,409,996,050,179,965,454,312,842,462,836,419,477,847,
128,104,384,311,960,612,292,831,649,698,047,008,114,213,299,909,698,357,494,
325,498,992,295,379,797,273,944,213,717,744,611,842,253,768,011,799,794,045,
447,561,402,472,070,679,843,668,167,942,899,054,145,076,840,688,387,617,179,
531,328,581,908,804,303,364,323,292,109,295,878,307,641,331,589,012,557,227,
644,432,032,532,013,497,500,991,105,803,412,788,173,420,884,317,610,372,063,
723,489,966,321,042,758,273,415,997,105,801,792,356,229,983,352,819,345,315,
086,024,751,346,728,268,564,314,419,904,310,932,409,832,351,647,945,642,163,
607,509,195,188,723,958,136,945,856,260,917,517,444,027,480,376,046,664,067,
820,192,364,492,342,712,843,137,808,986,393,865,625,789,123,923,691,065,582,
827,405,501,542,507,051,425,155,972,696,724,989,786,253,219,758,185,761,728,
820,881,545,739,645,171,401,174,504,067,325,168,393,850,892,402,124,229,928,
248,069,491,204,472,744,115,148,538,361,008,715,751,813,258,776,774,016,736,
299,049,199,855,100,461,209,811,510,424,080,598,768,500,875,109,083,914,945,
296,945,626,744,628,756,332,502,497,453,484,361,743,742,970,506,682,972,892,
988,912,076,273,813,037,495,567,419,301,981,047,444,152,118,531,850,603,747,
983,831,482,926,937,853,720,431,282,359,433,843,406,800,580,434,107,358,673,
916,763,119,194,852,567,975,803,901,780,045,080,494,705,406,608,603,010,929,
033,290,477,870,863,530,600,755,291,982,575,872,502,332,363,008,813,108,274,
021,459,439,812,410,816,897,504,478,805,202,791,002,228,323,984,601,241,878,
992,530,372,107,690,440,615,641,616,935,845,127,243,126,542,005,214,262,603,
285,441,450,698,190,351,712,211,049,805,798,211,223,167,029,815,613,684,858,
078,465,477,109,421,801,457,430,557,255,048,396,564,870,658,002,469,721,388,
888,549,488,306,349,930,092,607,574,365,889,108,377,216,553,294,244,894,985,
355,957,227,779,457,336,233,147,100,162,063,875,265,931,814,252,697,210,190,
665,118,163,649,094,196,667,533,036,157,882,180,034,940,209,833,948,234,968,
877,196,651,013,894,916,430,861,208,024,290,676,050,830,382,879,254,524,306,
606,677,771,227,344,440,631,608,697,595,827,123,870,863,337,700,983,742,539,
257,816,973,543,785,061,763,973,581,299,030,031,722,390,688,394,617,663,338,
510,891,437,273,987,821,823,622,661,577,589,806,763,423,545,259,453,306,096,
932,515,256,607,839,785,758,177,325,005,997,630,148,622,008,889,624,138,834,
167,367,052,651,279,526,365,934,289,657,415,587,891,964,007,895,198,545,554,
573,752,704,790,192,255,443,052,216,065,525,038,386,899,558,909,915,538,249,
166,452,220,895,300,575,209,829,710,771,115,338,783,139,517,276,509,579,852,
843,364,739,997,063,801,115,317,218,057,397,769,815,774,367,395,653,848,604,
621,909,941,774,080,921,421,365,911,626,526,908,871,818,778,121,149,178,265,
644,537,476,033,382,539,515,289,674,453,051,249,396,912,077,971,090,017,073,
977,541,475,098,178,337,006,367,068,271,144,543,785,686,482,360,342,614,989,
619,690,711,391,149,350,976,492,354,255,772,300,497,037,628,916,492,929,578,
606,493,228,044,930,779,612,946,709,736,486,465,912,902,250,837,596,569,631,
679,458,133,124,628,047,462,374,467,674,533,442,972,964,357,128,348,808,382,
976,290,785,415,260,755,408,200,929,055,789,239,763,256,228,413,684,880,685,
728,981,329,933,371,842,942,278,653,511,602,887,377,612,398,287,686,580,987,
945,671,624,132,274,835,212,844,559,358,920,801,212,162,744,551,403,353,830,
620,373,564,094,809,589,898,401,897,233,200,773,261,698,402,397,466,547,419,
736,308,289,327,193,683,737,728,974,186,125,591,033,514,926,576,144,406,759,
334,639,665,279,467,740,410,240,977,625,565,649,951,867,541,388,779,818,677,
214,263,853,503,441,221,738,975,762,721,707,407,083,120,424,138,879,243,144,
734,942,374,003,280,243,619,510,427,907,008,952,761,817,177,153,325,891,850,
188,841,584,175,451,974,776,623,050,520,028,637,813,723,103,752,154,037,068,
626,619,485,498,419,961,897,216,794,115,550,861,449,583,568,288,447,786,672,
083,074,756,735,935,087,572,258,740,176,847,974,191,855,875,583,432,483,345,
922,432,766,238,266,237,217,611,693,068,121,078,591,457,970,988,055,376,594,
293,266,590,777,326,544,467,298,228,951,988,532,550,338,428,668,370,727,135,
351,471,186,722,251,204,618,693,225,090,527,098,093,444,047,393,527,937,810,
506,900,933,085,153,974,857,035,848,510,481,444,456,614,565,966,491,080,706,
016,402,913,279,018,905,724,939,425,051,960,217,330,365,758,295,760,694,044,
006,041,668,511,965,147,925,725,106,191,885,514,493,679,563,031,892,012,813,
158,203,399,688,764,467,971,799,577,200,947,786,531,509,530,484,431,952,810,
940,219,057,659,713,591,094,240,587,405,507,120,124,254,858,671,275,154,934,
972,982,805,093,483,150,615,141,960,810,184,171,867,051,543,766,131,266,632,
292,004,902,685,856,329,656,869,600,066,552,670,872,118,991,397,128,233,108,
628,562,414,707,401,725,133,318,560,404,601,435,876,037,496,121,112,879,277,
229,774,122,699,076,389,370,303,749,129,883,757,104,051,794,904,880,715,042,
233,334,735,855,201,841,983,588,219,446,378,142,739,426,932,971,430,019,144,
901,296,875,230,947,516,608,021,494,528,237,571,050,061,220,375,381,019,758,
221,190,009,215,301,457,275,276,814,453,626,230,955,217,700,629,588,258,949,
748,844,708,001,466,456,511,863,811,048,494,120,208,059,288,910,599,268,556,
622,275,505,429,744,007,604,448,773,899,296,633,340,385,977,344,779,806,425,
516,774,888,790,892,793,022,935,942,724,381,548,392,842,516,570,083,216,446,
051,754,688,660,981,518,745,726,478,398,168,606,735,714,169,178,564,974,393,
797,557,844,222,652,162,935,669,785,872,126,604,623,253,367,023,269,472,321,
469,325,878,462,343,291,702,424,511,795,023,791,187,846,472,217,830,940,113,
347,961,463,359,157,808,349,072,872,934,037,187,604,388,383,675,623,429,126,
086,436,916,889,103,819,978,774,976,090,357,975,885,762,493,291,963,985,356,
820,541,043,103,666,874,437,013,683,451,186,590,644,028,035,982,413,157,948,
566,609,114,664,491,759,536,151,509,314,649,200,705,247,144,904,371,214,819,
820,149,326,726,816,225,512,058,610,934,363,524,098,922,786,658,121,541,769,
948,242,827,340,168,513,918,652,772,815,264,562,901,843,820,823,113,480,638,
991,601,325,901,506,027,210,835,652,859,229,157,878,589,880,015,679,199,736,
179,554,901,591,969,103,079,641,883,066,705,391,057,515,176,972,527,092,009,
074,775,588,879,747,355,605,409,340,525,177,099,452,958,768,266,270,763,298,
549,259,865,964,188,241,214,998,405,080,841,328,464,268,859,551,910,084,615,
327,152,383,871,528,873,325,012,904,472,248,171,020,911,064,984,047,268,120,
472,773,576,609,617,715,497,838,403,290,995,802,954,812,000,006,967,387,047,
250,762,242,592,254,999,233,251,626,741,695,739,337,491,658,659,890,024,282,
422,899,980,154,396,604,301,214,570,977,746,126,346,866,950,814,281,758,303,
335,988,833,552,451,198,343,564,770,307,355,238,039,357,057,017,286,154,862,
234,757,012,714,302,300,913,643,685,906,796,630,716,535,282,868,707,805,326,
837,734,221,179,154,015,436,416,798,949,728,174,282,946,023,201,436,747,139,
319,868,141,378,341,593,812,845,848,661,076,633,438,897,560,707,868,528,529,
636,647,413,791,097,530,466,033,026,891,177,260,914,906,902,520,947,583,931,
137,695,808,352,484,266,761,420,986,515,702,474,025,953,453,285,625,274,971,
448,921,196,757,512,424,828,421,171,985,386,086,676,371,632,379,816,270,928,
691,905,070,099,854,353,311,223,744,056,243,001,555,097,862,283,710,391,377,
918,973,599,197,274,231,683,145,190,472,981,649,107,052,190,217,025,126,390,
896,514,062,077,010,380,665,082,561,469,888,665,818,816,067,442,251,488,340,
438,406,317,829,620,748,495,974,949,983,408,141,813,296,500,729,210,626,114,
818,994,000,379,390,763,814,415,515,449,189,594,881,901,581,593,619,902,756,
588,391,059,428,359,348,211,210,063,846,753,462,464,463,682,819,005,713,626,
515,833,905,437,261,127,297,318,871,930,647,961,841,574,136,562,127,691,309,
830,631,232,197,927,526,214,305,458,379,482,443,911,562,272,398,943,796,294,
676,596,609,580,073,145,702,823,472,709,655,431,155,759,411,732,213,218,471,
164,634,425,464,640,760,419,762,577,886,098,767,614,547,128,956,922,775,452,
735,464,441,173,739,402,338,064,076,842,407,616,108,048,071,417,329,706,862,
669,230,583,629,976,810,232,964,065,031,474,200,674,291,867,542,707,835,758,
439,921,756,796,237,237,485,123,078,357,562,818,874,583,833,243,406,287,306,
873,518,435,526,687,634,423,701,156,144,628,330,617,458,641,061,828,693,794,
645,449,125,272,900,222,235,096,002,524,967,987,441,510,163,137,733,494,412,
485,381,503,581,740,891,867,451,192,444,396,182,289,003,190,428,903,089,290,
622,820,391,410,742,301,448,812,264,515,129,364,621,968,677,638,303,498,763,
896,526,694,674,156,704,019,433,694,147,886,780,155,733,802,532,706,380,570,
133,382,022,200,054,469,166,554,217,738,482,085,598,552,552,949,493,670,996,
409,634,469,552,831,864,537,324,935,802,033,804,927,571,674,038,888,780,367,
237,031,529,109,839,302,427,919,496,359,734,358,028,954,667,320,150,074,038,
760,063,670,405,204,261,107,803,767,590,371,110,700,164,446,722,163,165,155,
965,183,677,681,898,862,766,967,117,483,721,847,601,015,098,292,543,060,130,
523,949,898,703,237,280,188,285,458,343,596,666,385,725,423,974,487,441,568,
125,614,952,322,421,654,822,062,777,255,082,857,981,537,465,229,677,535,715,
450,920,482,790,176,890,652,798,205,158,418,100,624,774,875,293,484,196,725,
053,495,975,143,987,906,631,345,708,144,820,555,516,291,748,219,143,596,111,
563,329,917,981,680,595,742,699,716,616,677,119,232,719,269,140,319,614,332,
777,258,863,955,384,064,227,693,464,756,291,777,081,720,154,666,947,796,124,
628,348,596,107,071,389,953,922,582,972,743,255,017,949,665,604,120,475,240,
249,289,803,547,501,669,089,906,930,730,634,465,594,056,189,781,277,288,059,
147,669,309,651,104,637,986,169,165,350,931,723,734,951,501,121,126,498,541,
921,825,316,098,613,441,633,863,134,373,255,539,424,050,804,702,464,136,307,
698,049,620,144,346,941,269,408,834,640,918,958,849,051,500,657,376,227,099,
059,310,027,350,305,470,434,113,318,568,036,011,489,646,531,797,459,902,407,
084,870,467,964,167,628,411,636,917,933,413,747,812,465,970,414,985,623,517,
624,599,666,401,788,184,609,135,035,142,013,294,808,735,560,834,082,775,969,
374,756,158,050,959,220,491,133,960,693,433,940,512,992,379,817,845,125,196,
876,945,328,620,108,334,997,985,562,070,086,487,008,636,543,283,656,606,194,
133,312,247,015,294,023,560,357,147,272,317,052,484,242,416,959,285,329,840,
477,139,440,448,311,612,384,092,799,945,478,670,928,711,260,916,745,425,573,
551,336,402,157,950,006,761,163,345,294,930,758,393,839,670,227,069,883,162,
477,116,410,384,872,985,029,720,511,887,422,675,176,892,149,469,344,853,369,
704,545,338,456,759,410,178,298,876,134,956,082,072,789,972,550,097,752,412,
671,167,647,618,239,675,284,628,664,795,353,388,457,112,838,781,075,070,600,
075,504,426,934,931,391,846,155,086,015,262,112,696,718,286,592,907,086,689,
099,313,550,567,309,925,563,915,032,808,454,200,708,209,455,433,939,769,811,
566,250,580,950,172,494,060,052,680,903,402,686,702,781,466,639,659,874,727,
648,271,540,128,671,803,783,506,523,597,220,365,829,800,417,088,566,418,824,
005,895,041,728,733,358,047,780,049,435,972,000,379,929,619,748,317,731,138,
947,205,358,446,280,327,206,380,428,532,656,224,748,588,623,408,904,774,764,
427,934,804,616,123,149,381,367,862,788,971,664,081,978,213,574,570,421,259,
799,110,898,190,734,409,085,227,434,640,078,763,000,363,183,532,808,553,949,
594,463,439,988,373,117,543,566,457,450,445,398,492,156,957,333,572,355,288,
824,018,785,976,210,742,659,257,169,612,574,436,711,829,274,777,429,084,835,
788,007,141,905,968,694,954,727,831,186,722,614,138,347,200,288,451,715,886,
120,597,191,360,433,695,075,978,329,856,936,290,410,269,700,641,125,536,645,
693,302,120,783,704,697,420,714,608,127,119,922,289,674,821,279,073,785,086,
048,709,875,614,330,058,354,539,839,749,591,193,697,131,733,611,272,899,387,
144,368,572,992,274,658,064,168,573,921,208,485,202,506,323,009,886,662,429,
438,099,138,071,519,853,581,149,580,524,758,505,058,192,885,291,312,984,391,
416,364,450,024,021,978,547,451,400,897,603,798,311,901,481,885,222,417,963,
499,438,610,330,943,699,063,327,874,411,836,800,250,506,406,644,290,816,680,
430,755,131,840,942,314,848,881,746,131,571,176,522,104,753,932,627,353,703,
152,618,161,756,029,625,337,696,956,567,346,699,319,649,252,585,730,038,456,
606,195,770,520,661,433,581,972,105,120,269,472,764,507,281,779,120,313,888,
730,491,984,807,098,674,363,006,747,573,808,718,900,054,430,393,182,271,869,
691,653,485,118,323,727,404,733,277,317,317,153,766,898,052,041,732,002,318,
253,553,658,744,546,772,426,677,869,312,745,175,729,229,035,771,441,091,926,
954,636,761,419,999,200,855,027,253,136,018,185,990,778,996,033,286,596,621,
876,169,827,570,922,427,524,059,352,652,647,586,602,564,791,469,816,022,772,
795,190,004,196,362,779,524,114,538,211,456,285,180,718,123,050,959,621,560,
719,882,106,765,597,043,593,667,006,355,622,842,481,277,820,009,947,873,576,
147,274,137,125,901,277,055,294,806,360,378,673,269,620,105,657,041,167,121,
876,636,874,444,659,162,727,039,793,013,772,440,471,924,778,898,789,750,199,
007,761,078,283,351,201,569,968,062,087,689,464,626,555,862,412,053,551,662,
911,753,914,922,572,734,272,181,807,403,087,200,889,163,536,045,753,180,079,
305,382,936,896,393,610,424,741,703,635,083,290,606,215,576,133,455,404,103,
300,972,444,106,438,887,313,734,075,055,328,506,068,940,638,967,238,993,846,
924,517,870,629,060,848,660,610,482,148,026,031,468,333,940,995,408,466,777,
207,453,130,956,230,690,563,121,892,410,863,309,075,388,169,864,246,087,976,
715,887,974,846,825,542,727,147,035,373,163,392,179,812,513,645,402,002,704,
487,508,238,791,157,419,921,105,824,281,947,744,678,136,486,637,830,176,155,
471,856,564,132,020,212,240,400,606,965,126,112,048,214,737,490,014,865,646,
587,486,685,674,444,284,450,874,769,052,283,993,753,911,066,115,212,728,030,
879,131,145,509,704,155,373,838,438,439,660,714,084,938,152,888,991,703,851,
122,270,584,989,456,971,021,931,553,103,039,996,101,058,439,381,814,276,137,
068,263,076,362,216,241,841,895,427,083,196,912,762,421,898,876,143,196,678,
947,043,274,195,305,433,026,996,947,092,244,321,094,817,847,868,886,916,854,
037,842,540,598,616,519,913,206,253,154,330,308,768,174,926,227,161,385,901,
499,917,102,058,760,005,258,728,267,031,326,294,954,412,566,606,841,881,168,
743,573,882,598,571,503,619,456,824,004,069,033,241,993,869,643,866,488,335,
412,062,200,418,457,628,806,192,141,120,498,729,791,392,946,980,057,968,366,
877,537,319,687,145,255,294,421,438,733,626,113,559,017,984,682,160,782,347,
657,856,250,745,356,020,549,734,764,462,037,892,277,790,424,077,020,797,431,
172,574,679,849,240,787,314,189,692,441,028,251,803,175,671,938,553,153,936,
377,002,954,220,647,008,142,028,673,734,510,753,469,352,119,476,926,637,486,
146,156,464,509,949,860,879,713,394,361,540,098,996,621,027,295,306,020,052,
235,494,256,396,157,336,077,474,618,454,799,575,101,941,657,039,887,059,778,
244,351,684,526,980,055,843,652,382,160,021,582,166,366,749,381,537,885,296,
309,037,312,768,404,851,551,515,819,316,175,260,604,069,933,114,013,760,325,
638,810,803,668,239,613,229,054,110,481,311,561,212,595,579,265,042,089,415,
172,354,704,188,948,765,960,590,468,661,674,138,289,455,031,531,826,991,504,
441,350,286,711,512,047,165,222,416,857,129,058,009,490,838,964,056,617,873,
952,753,277,555,424,142,924,949,602,985,581,760,742,785,654,190,806,987,437,
335,144,472,105,043,174,359,902,756,637,351,034,307,917,620,896,515,507,597,
090,884,631,088,657,681,772,510,267,236,922,640,159,228,991,464,477,915,554,
758,543,315,831,466,370,770,670,312,472,969,056,687,278,401,529,635,721,674,
067,449,686,047,687,432,606,241,935,415,116,140,993,817,531,751,251,456,889,
337,909,209,547,062,233,413,313,256,960,773,728,638,423,568,690,010,154,646,
388,266,386,998,130,947,638,210,921,482,443,088,846,266,621,756,165,424,412,
004,846,885,667,913,875,282,611,794,950,797,633,950,180,735,108,487,764,160,
604,684,485,371,573,966,373,352,117,459,718,622,833,159,022,706,936,837,458,
343,418,567,891,455,679,069,757,963,430,843,187,413,500,268,164,202,015,653,
445,405,358,146,149,727,463,925,151,738,040,277,943,570,069,122,732,302,199,
575,619,858,622,053,238,395,513,783,996,199,071,282,184,616,005,281,455,081,
180,699,293,788,152,120,557,493,860,719,725,200,103,832,445,710,500,628,245,
900,549,989,258,656,220,590,006,552,779,852,626,323,382,546,672,137,560,706,
931,628,431,700,269,106,323,293,903,046,682,277,128,606,021,053,373,439,912,
150,599,380,058,805,221,355,112,117,733,068,285,977,332,224,827,984,850,780,
959,056,872,951,870,008,086,904,804,840,391,266,852,894,102,765,259,818,182,
232,729,074,396,488,239,480,925,680,168,386,085,290,563,084,420,815,205,053,
766,388,691,146,059,913,659,133,252,308,405,066,237,306,991,162,709,606,821,
862,202,020,145,416,256,994,053,285,659,549,596,201,947,807,379,896,886,840,
169,908,551,197,067,851,088,478,276,831,773,517,893,710,946,380,180,515,847,
106,980,801,979,033,770,567,074,120,258,181,186,558,798,171,178,113,689,068,
233,002,631,092,035,526,225,946,817,478,453,009,205,273,067,046,362,907,257,
145,868,119,716,982,823,430,405,246,883,764,270,882,607,286,168,432,551,078,
287,023,849,213,628,898,786,630,547,299,444,358,979,497,196,211,821,242,088,
460,251,558,786,636,886,815,527,164,126,962,480,235,097,538,255,705,964,922,
639,496,357,265,264,348,395,880,030,514,142,751,955,125,223,973,040,337,894,
375,807,405,517,380,113,046,981,404,409,966,760,947,492,438,023,927,831,982,
005,811,203,291,425,181,959,200,568,972,522,730,438,023,306,152,429,344,389,
595,548,734,671,927,429,109,609,034,409,296,679,127,044,042,400,034,457,504,
682,799,270,038,452,512,787,434,235,599,352,363,242,272,655,574,342,530,455,
477,193,583,206,263,659,522,843,575,506,283,933,360,091,384,461,711,243,397,
688,573,927,240,779,264,663,838,076,058,294,139,181,037,709,454,766,965,543,
754,106,655,811,232,962,217,136,705,609,361,410,314,327,265,496,860,315,898,
673,032,859,657,188,989,161,159,759,576,911,046,747,641,466,107,900,101,821,
976,745,066,733,393,284,903,564,483,466,466,284,927,360,856,979,805,431,893,
465,579,290,943,774,882,823,389,466,469,304,382,837,742,521,221,284,236,463,
813,047,396,748,938,533,658,665,884,351,589,279,078,557,887,906,587,686,190,
419,240,777,784,305,939,990,652,507,374,232,060,862,806,587,624,751,424,788,
485,455,565,143,152,953,464,551,064,404,145,701,788,741,253,543,572,405,825,
404,724,784,608,291,502,113,929,339,771,326,943,048,178,755,048,315,340,037,
057,386,166,973,686,994,445,922,717,127,224,215,747,573,341,026,652,855,643,
489,224,053,389,648,608,241,529,355,154,958,694,204,444,762,792,188,975,385,
962,987,711,525,771,546,622,163,060,387,520,131,778,423,403,509,617,981,234,
865,077,844,979,036,228,901,030,779,956,098,070,360,737,363,989,930,822,402,
066,900,487,579,232,116,662,785,454,188,978,860,777,562,782,584,026,131,543,
028,206,136,369,911,550,473,010,860,674,564,717,012,303,093,798,976,416,135,
843,091,224,330,085,376,049,545,055,279,497,429,402,238,906,247,648,376,772,
246,444,573,391,281,573,703,726,809,655,417,641,400,340,467,081,557,033,454,
464,693,117,465,749,314,745,530,680,166,843,534,090,687,517,553,700,053,572,
243,462,867,120,126,538,136,221,712,710,751,537,731,996,910,739,751,052,130,
596,927,477,131,662,464,647,943,944,600,908,442,786,335,751,215,653,519,572,
569,795,734,363,200,309,180,646,674,225,687,137,833,623,101,352,035,326,079,
856,197,997,459,720,986,411,488,241,566,083,673,097,757,692,513,242,355,920,
733,016,175,146,926,202,308,726,318,072,011,391,805,915,488,222,053,772,170,
466,113,142,208,249,216,669,720,768,334,497,780,770,470,407,138,316,187,320,
619,077,934,293,026,142,359,752,023,439,258,053,071,323,804,233,943,963,572,
642,651,399,650,745,769,084,097,781,917,920,316,172,453,659,517,054,917,747,
728,629,658,878,711,568,575,577,633,145,477,631,517,609,607,731,188,193,560,
908,339,312,480,063,082,057,894,314,887,516,027,984,670,279,729,002,667,619,
350,720,425,611,027,109,602,028,995,595,019,610,312,524,161,802,863,289,186,
900,997,245,217,360,555,389,212,944,828,619,644,925,533,010,171,377,232,032,
164,174,671,988,216,784,547,670,239,415,463,047,396,117,298,077,629,171,977,
723,039,619,620,643,732,857,452,985,373,862,929,156,023,822,339,740,688,766,
893,752,769,592,809,825,541,515,890,034,794,772,106,527,257,909,937,626,932,
884,625,960,178,711,757,302,510,288,871,544,166,885,662,616,751,744,015,942,
796,636,756,712,099,005,053,467,422,307,917,435,570,283,072,243,876,876,287,
088,497,253,900,746,766,933,035,208,638,330,805,590,287,142,583,277,692,518,
325,875,965,924,533,874,029,369,132,334,725,805,278,435,880,283,973,085,555,
602,422,123,385,680,375,778,903,119,188,000,439,073,065,925,139,862,080,835,
567,654,523,594,929,905,911,237,162,732,655,877,923,501,671,447,129,380,769,
440,728,551,819,301,578,577,690,014,484,622,489,953,739,506,084,877,972,158,
472,889,420,198,420,921,781,059,476,689,515,140,064,738,944,140,626,241,750,
785,142,270,072,559,495,788,736,244,654,352,171,463,883,444,268,538,724,366,
977,164,427,554,100,087,908,805,157,991,201,173,583,046,380,892,241,062,169,
006,981,220,664,684,065,775,898,568,677,544,024,243,350,954,159,574,891,204,
700,118,521,999,638,951,584,939,964,972,325,887,636,339,405,020,255,301,351,
887,230,100,956,256,788,618,056,861,733,657,757,475,735,710,656,697,418,642,
957,229,090,501,548,395,392,038,311,023,240,536,459,820,219,957,648,194,805,
378,132,663,970,756,304,444,480,034,129,876,007,899,893,907,483,124,321,252,
484,928,250,606,028,242,776,005,691,124,560,991,804,406,767,050,667,993,356,
601,280,234,989,761,290,443,367,173,478,271,735,050,685,254,467,950,337,262,
767,300,094,268,364,135,489,286,707,808,295,416,579,091,131,883,786,618,366,
442,862,317,605,677,479,698,883,256,037,650,811,940,027,183,757,373,915,215,
467,838,663,126,280,092,027,671,717,020,721,076,578,485,636,859,044,747,555,
797,981,542,303,393,787,999,925,106,856,102,244,817,739,627,340,107,631,197,
980,535,243,532,972,565,208,230,108,878,256,188,707,063,047,383,168,436,069,
735,600,722,596,558,844,649,944,585,087,195,736,896,823,886,522,674,934,905,
769,454,268,162,992,482,824,315,369,757,343,350,072,487,917,555,345,022,757,
332,187,164,269,574,045,255,106,613,893,251,556,059,129,210,122,773,866,580,
817,048,346,424,239,354,827,211,969,981,378,290,197,010,062,338,216,853,889,
722,821,182,664,965,084,179,106,550,098,642,818,273,484,079,879,490,862,680,
346,670,533,517,861,637,242,725,537,164,159,953,621,557,133,441,152,845,002,
889,247,819,693,627,469,062,006,308,448,646,167,494,919,084,729,625,317,971,
374,765,834,386,241,332,056,063,315,287,362,913,929,406,813,989,343,823,236,
026,014,634,256,971,617,949,826,020,883,587,638,913,457,478,251,673,623,176,
827,902,727,239,790,902,621,270,399,151,379,623,153,503,353,870,358,116,813,
611,510,011,879,271,013,576,604,472,293,757,350,270,235,971,012,144,069,939,
506,597,988,448,668,438,709,362,420,707,093,077,912,148,123,204,951,936,987,
808,162,515,110,059,732,651,316,431,412,112,527,006,348,500,517,994,442,790,
428,621,531,286,655,605,192,275,347,228,770,076,263,996,937,317,983,335,927,
068,511,218,115,976,291,885,312,946,990,999,101,444,859,778,939,286,321,843,
761,371,438,053,165,402,137,569,795,891,023,207,031,570,372,499,771,330,724,
778,691,290,759,421,445,351,793,777,427,152,774,104,221,450,108,950,290,729,
053,808,958,397,868,925,593,971,106,703,069,877,696,108,763,648,597,089,972,
043,820,997,672,764,648,440,629,114,402,345,204,453,459,462,926,749,515,933,
141,880,816,967,191,644,818,645,913,661,798,415,624,622,894,854,409,324,147,
673,762,725,505,435,290,503,606,104,940,110,238,500,552,946,442,193,206,599,
106,222,954,679,428,632,300,371,195,200,016,596,432,547,253,996,651,625,054,
527,304,178,120,025,721,041,454,130,461,603,098,289,669,417,114,135,017,652,
233,640,877,791,343,285,585,839,989,980,323,878,788,129,005,791,197,942,066,
939,467,340,338,868,924,323,959,179,752,968,104,749,914,295,385,487,049,509,
289,095,135,753,170,104,695,811,435,904,237,675,353,199,203,921,448,704,111,
496,395,379,839,237,592,529,071,992,858,548,377,112,797,331,935,909,463,975,
560,347,636,037,730,736,427,640,481,978,777,821,342,563,493,845,443,970,129,
787,309,061,857,069,752,491,359,831,571,695,997,754,633,692,170,959,622,379,
418,550,900,172,624,794,310,065,139,326,738,080,776,825,213,554,955,878,897,
020,527,150,720,184,004,686,056,227,604,775,707,108,846,259,756,780,501,608,
283,543,151,995,741,047,271,667,416,664,803,505,137,560,382,487,508,371,903,
794,712,142,012,485,789,395,631,165,299,933,691,396,008,824,924,294,445,714,
032,685,706,382,568,344,750,604,190,273,421,752,357,837,695,071,108,346,726,
658,416,300,122,092,069,613,317,674,929,729,721,015,866,837,780,565,710,587,
586,725,210,246,842,788,221,906,876,318,069,001,794,279,535,269,777,466,922,
927,764,148,311,770,420,813,357,647,154,221,084,513,738,907,761,593,813,300,
826,416,171,250,214,909,957,753,825,858,087,593,055,076,265,949,526,739,557,
756,470,925,152,036,147,142,998,644,533,160,788,904,728,824,856,402,414,234,
098,332,539,211,272,769,571,821,040,906,224,376,400,091,524,968,168,040,891,
430,179,721,289,482,246,946,723,186,317,947,458,953,822,540,799,799,449,735,
480,080,239,062,048,501,182,216,738,046,460,922,450,359,130,419,365,552,242,
075,466,620,521,232,095,675,820,032,738,849,371,851,856,013,215,124,206,429,
502,591,188,827,589,177,290,283,805,456,480,706,212,501,996,406,328,902,483,
842,163,479,723,070,317,614,870,786,630,960,027,284,312,789,741,587,532,890,
931,059,669,257,134,086,525,190,095,414,945,499,180,038,958,192,245,551,515,
603,199,354,731,788,430,574,613,165,654,074,568,643,605,482,405,371,627,432,
585,517,852,773,711,091,058,548,814,512,793,723,190,138,690,806,381,456,641,
642,042,731,584,861,659,058,259,751,068,066,701,465,927,214,865,949,866,787,
844,778,162,177,735,512,405,731,257,605,942,559,332,830,846,705,039,845,698,
567,325,790,462,851,569,777,325,927,334,961,524,374,804,033,118,751,742,977,
452,214,497,322,240,094,240,435,318,116,510,946,105,862,404,683,312,725,660,
920,550,980,370,542,551,685,395,816,763,224,542,511,003,342,254,762,081,881,
976,382,323,995,210,679,913,899,199,776,072,070,540,355,331,660,990,741,833,
477,695,762,190,359,252,732,898,193,157,430,239,923,085,833,261,405,839,057,
824,264,182,337,922,572,227,785,095,749,116,926,144,780,604,308,110,133,366,
487,350,270,667,710,949,202,310,615,551,754,649,593,395,498,522,018,162,696,
624,501,850,494,150,647,779,994,719,087,653,758,712,052,121,670,922,632,271,
836,676,498,812,603,281,860,697,562,852,984,627,117,935,706,531,376,142,201,
522,634,716,523,633,112,375,593,543,857,260,317,816,589,269,088,279,245,959,
919,024,321,846,502,652,758,764,627,795,331,235,705,687,654,098,742,391,601,
901,908,621,113,780,802,888,478,653,146,792,924,933,248,698,868,162,524,196,
693,214,149,728,184,683,221,437,205,017,088,311,145,262,553,431,499,068,801,
562,373,843,524,043,462,607,418,043,201,041,282,411,090,978,625,376,355,176,
089,949,269,408,930,944,293,444,029,500,286,639,251,428,158,254,641,185,449,
148,283,867,523,684,126,926,956,126,577,158,134,591,914,739,019,767,429,529,
695,684,735,065,104,805,714,158,765,664,121,435,891,934,273,191,582,044,748,
293,130,231,025,182,330,911,031,201,705,387,733,232,311,750,704,972,072,026,
362,385,599,250,721,006,228,919,931,206,511,487,546,131,476,673,967,509,420,
537,759,346,923,176,841,365,124,822,849,301,034,737,521,608,127,710,938,476,
310,683,909,584,903,896,162,481,199,941,494,479,530,861,597,546,195,466,979,
731,962,322,719,964,665,613,132,853,112,429,060,987,368,686,473,506,739,991,
005,766,746,387,654,196,298,904,092,460,013,321,528,647,314,545,442,769,541,
988,195,473,421,584,568,297,699,957,040,889,190,553,702,829,008,024,889,769,
242,186,560,968,033,161,890,710,547,735,226,890,150,630,009,687,333,236,587,
510,429,777,687,447,959,009,596,283,439,030,292,774,013,582,125,844,776,134,
089,825,637,241,270,119,087,562,326,190,644,953,385,487,504,209,004,467,648,
794,181,968,376,342,158,019,649,202,471,299,214,993,591,047,685,312,078,850,
326,817,689,446,599,305,830,712,283,291,935,605,549,981,369,552,780,516,389,
850,908,352,259,879,544,224,692,523,056,511,141,910,389,508,273,384,946,175,
085,178,077,101,362,257,201,604,798,031,181,296,770,488,868,039,651,361,753,
825,586,308,396,952,733,090,428,401,585,852,392,080,479,431,374,438,993,250,
359,997,651,999,250,905,960,783,776,900,005,195,814,083,771,914,341,942,840,
516,368,962,990,434,610,756,357,137,858,517,843,355,535,987,706,171,432,157,
741,923,197,269,898,740,684,908,095,990,781,301,648,892,237,234,993,581,186,
920,948,966,197,345,245,292,343,482,950,673,109,172,373,498,607,878,120,158,
572,954,724,939,455,635,194,685,692,620,613,873,290,492,293,502,552,476,203,
654,430,389,252,664,018,682,054,560,617,348,924,637,439,195,126,370,771,084,
782,582,832,826,437,170,336,688,050,410,750,274,320,872,359,655,192,162,333,
698,990,449,218,337,772,419,761,990,076,913,580,998,246,087,420,686,992,307,
253,915,886,301,543,966,858,636,690,817,040,061,808,623,132,803,125,143,504,
582,222,393,296,037,555,899,185,739,490,351,869,581,587,865,405,653,058,246,
511,345,686,928,849,729,626,729,173,697,817,463,448,500,109,261,750,164,400,
986,629,705,288,377,349,203,864,923,374,502,843,294,406,761,611,343,108,616,
916,742,152,252,209,121,949,791,189,341,041,453,037,733,835,985,514,252,911,
742,372,301,350,300,449,659,030,896,633,785,219,108,693,400,017,321,839,960,
172,646,794,160,137,562,571,447,459,295,236,546,144,356,874,468,606,498,102,
190,878,139,752,651,267,106,649,139,685,939,099,864,257,616,423,712,054,620,
314,210,692,233,223,001,014,856,449,313,634,633,578,840,485,765,460,207,978,
625,818,981,530,328,988,493,783,748,224,980,888,035,990,590,015,305,599,914,
676,580,893,827,025,943,258,339,886,811,880,905,937,040,651,765,275,318,287,
665,580,783,580,498,594,115,325,141,241,465,299,931,006,922,615,261,776,090,
731,198,376,528,539,840,742,259,639,607,033,571,264,783,387,979,631,966,916,
308,234,490,979,952,455,451,144,336,496,480,540,402,072,926,118,867,940,154,
515,018,065,988,241,960,077,291,184,290,266,851,595,980,570,595,311,729,541,
586,447,832,333,631,437,486,846,527,081,859,085,280,712,065,219,466,502,479,
488,093,952,702,660,369,124,215,916,341,167,437,754,480,283,108,649,969,809,
294,200,389,773,241,366,731,122,384,035,786,371,578,504,744,254,176,328,987,
368,904,571,786,598,392,935,377,264,243,500,075,420,618,747,681,904,239,494,
757,155,157,489,609,996,518,279,094,057,746,190,842,383,810,895,443,303,693,
493,604,876,813,512,751,986,724,483,259,780,530,515,421,488,757,874,394,625,
565,762,181,004,093,787,347,204,246,182,540,972,183,969,840,046,724,556,030,
561,072,819,477,681,500,483,190,223,788,985,697,805,592,489,643,305,252,668,
207,897,994,305,132,173,884,031,516,303,264,522,089,250,751,208,611,605,047,
359,028,607,592,421,362,214,169,823,203,918,179,667,297,195,827,608,073,706,
965,731,014,379,979,933,555,867,841,214,986,448,309,497,776,723,301,895,052,
852,467,619,426,256,112,381,737,306,438,315,454,109,565,423,380,943,059,689,
453,308,718,597,273,850,289,152,170,335,247,999,449,900,711,743,674,997,717,
582,517,583,174,222,372,947,871,488,049,566,836,414,137,441,675,708,385,320,
813,825,062,923,563,612,075,143,311,470,453,192,825,191,448,260,337,076,988,
614,683,793,079,924,481,144,610,026,896,769,020,380,285,674,645,920,752,228,
872,595,138,587,858,931,768,298,497,977,872,689,533,360,477,556,678,358,540,
335,126,961,238,476,679,500,454,842,530,694,544,831,760,289,216,081,573,688,
644,323,146,990,580,307,037,574,144,007,274,051,038,131,022,990,841,271,724,
761,807,572,546,950,343,313,639,308,416,891,654,342,159,031,882,891,804,312,
386,104,958,308,890,110,788,496,802,108,754,971,270,874,753,132,271,369,517,
781,202,630,950,180,169,458,887,071,445,495,367,719,801,669,943,378,976,619,
936,494,568,661,536,653,712,193,458,156,512,147,855,271,593,471,388,254,105,
361,913,417,836,193,669,076,370,471,520,632,168,284,504,472,608,315,854,027,
380,508,601,425,326,349,929,889,523,352,456,888,179,743,386,060,188,989,032,
119,072,292,692,969,446,896,883,153,540,587,232,800,702,210,709,766,521,372,
171,023,562,835,087,772,905,801,932,914,784,803,480,586,668,066,157,333,319,
818,483,851,549,683,079,089,178,167,067,141,622,824,424,484,006,016,347,913,
411,869,793,127,465,192,640,172,564,855,796,956,226,879,255,657,754,328,197,
817,616,024,719,572,096,668,503,485,564,655,466,043,193,916,944,549,753,490,
824,098,337,174,714,468,789,385,258,432,046,624,539,509,103,803,193,072,188,
296,995,934,468,387,948,401,467,829,670,965,165,676,296,147,814,333,484,147,
319,427,478,137,780,730,654,085,111,264,498,378,908,927,573,739,736,686,127,
948,673,646,876,436,998,448,875,571,581,508,873,254,912,920,524,735,220,293,
758,676,845,666,512,620,644,965,972,890,055,526,612,262,749,859,665,969,068,
225,265,867,092,176,940,099,855,038,340,995,314,388,633,207,719,455,231,995,
740,221,026,203,938,446,383,291,995,391,553,300,778,863,856,607,059,466,143,
180,124,968,386,526,825,219,567,563,776,708,109,161,655,107,087,790,950,436,
413,132,855,908,859,414,144,685,895,507,898,979,441,632,797,247,100,077,094,
187,140,167,600,005,964,824,032,386,359,566,066,856,727,950,578,280,883,465,
136,143,630,262,308,665,160,515,291,734,922,083,456,106,048,505,662,134,857,
797,291,163,181,772,051,571,059,332,619,735,677,495,127,577,844,216,615,975,
027,906,678,110,765,720,067,846,863,228,627,865,370,213,478,026,253,778,718,
576,267,609,059,031,972,188,716,503,531,347,955,332,282,631,557,617,467,968,
064,076,570,812,874,339,883,395,239,805,234,505,707,653,446,263,316,633,716,
968,131,155,144,660,263,123,945,682,321,184,275,503,436,065,375,101,720,890,
504,491,491,834,819,831,268,580,957,682,007,167,751,277,081,471,263,288,081,
559,887,877,111,869,197,016,841,446,582,226,933,298,568,558,725,284,734,864,
068,519,526,905,293,444,053,261,276,957,708,824,814,181,096,593,357,532,052,
507,937,953,381,068,904,668,931,586,144,575,399,908,046,251,425,102,011,204,
948,885,078,616,322,045,742,164,734,783,805,614,950,944,012,788,069,709,381,
831,447,114,875,571,410,869,484,617,116,843,716,664,203,372,854,161,555,975,
300,267,368,803,368,879,342,407,854,420,169,708,881,948,669,878,067,890,398,
704,740,858,597,488,652,592,337,396,860,120,726,545,923,600,185,221,984,629,
634,044,201,225,853,507,667,862,010,363,971,042,096,140,437,045,898,561,458,
358,194,423,689,840,843,548,379,867,117,559,823,415,572,693,865,534,286,341,
254,593,298,147,538,793,191,637,781,874,904,656,854,206,168,102,729,550,872,
376,273,255,537,886,024,042,167,974,720,934,852,216,396,964,627,215,270,369,
270,491,941,306,243,960,763,770,378,314,909,033,215,107,327,289,535,195,693,
758,077,210,979,594,835,375,545,747,476,592,299,559,260,168,805,433,467,196,
978,033,004,183,675,811,876,652,117,648,592,745,657,110,554,489,531,632,430,
671,874,318,668,006,866,187,264,863,524,008,727,608,978,980,286,426,765,818,
906,956,522,794,574,532,588,249,538,255,686,346,228,182,495,324,511,338,577,
580,070,619,325,306,639,735,021,900,061,023,357,470,937,004,768,562,825,778,
558,048,790,159,060,269,860,475,137,805,601,086,022,729,267,157,051,003,167,
495,753,661,095,504,906,961,732,107,272,710,789,631,822,590,362,839,058,953,
694,045,841,677,748,932,121,247,828,960,155,058,540,076,630,073,694,510,815,
759,406,108,438,649,663,912,607,945,970,207,131,848,389,109,964,672,931,373,
140,829,239,098,518,673,468,563,807,890,687,696,311,913,846,657,317,929,259,
309,013,466,144,107,615,219,761,302,268,424,019,901,309,984,675,044,526,639,
753,829,160,839,212,568,810,053,632,571,105,013,276,725,652,538,909,912,185,
321,985,014,817,189,277,701,657,579,523,661,315,967,861,706,568,241,845,935,
312,964,338,207,579,590,167,198,819,257,760,336,783,787,841,201,114,677,537,
565,551,967,156,969,030,536,456,766,520,119,277,937,935,397,318,100,361,361,
496,353,222,882,835,349,663,893,163,292,582,632,859,553,765,006,729,293,549,
844,809,156,981,931,947,459,347,385,308,828,761,469,270,417,828,503,152,206,
843,529,537,985,476,159,462,094,768,885,051,589,324,599,864,912,737,327,843,
135,323,505,842,999,209,306,252,009,815,888,943,673,450,495,295,265,601,809,
008,077,180,649,787,080,500,657,060,272,338,689,807,001,441,201,669,810,677,
186,821,787,662,109,256,264,080,376,339,613,399,625,743,579,724,707,244,164,
973,758,254,343,310,199,968,283,909,944,817,095,793,696,943,016,414,329,651,
455,886,924,563,407,417,125,644,009,932,540,793,884,658,179,080,071,486,499,
530,683,752,630,826,840,256,138,729,107,802,417,276,838,428,134,666,035,251,
286,095,298,104,420,287,262,354,923,583,618,476,007,944,492,748,361,419,697,
403,519,837,340,472,490,732,386,686,529,061,441,619,533,147,314,050,791,702,
550,356,646,081,667,439,909,363,571,662,633,053,675,847,595,598,303,791,143,
480,618,544,554,552,130,069,789,236,877,742,103,555,945,215,785,038,498,844,
422,173,276,650,494,122,140,299,232,739,404,304,556,779,954,530,761,874,383,
062,804,354,302,882,726,132,902,544,121,123,455,227,325,536,039,914,445,977,
829,805,952,697,592,150,175,338,175,789,949,433,338,978,769,835,795,438,714,
733,537,189,773,788,493,931,930,506,205,106,685,468,352,294,001,456,693,675,
837,688,577,776,714,007,556,196,204,240,371,400,509,687,508,783,354,975,786,
695,143,937,183,547,923,884,181,421,464,624,349,776,933,818,785,544,721,706,
558,747,177,850,895,656,624,560,701,013,886,489,723,342,881,119,055,444,775,
665,049,000,058,807,597,340,204,735,722,055,176,905,504,343,780,839,766,570,
387,573,559,466,100,289,480,018,713,765,546,538,613,719,036,319,744,297,134,
059,025,930,474,971,300,276,122,709,990,134,087,033,989,284,348,397,892,051,
431,121,852,875,467,363,478,268,923,231,443,724,185,252,839,698,465,138,149,
324,324,435,763,049,710,627,112,632,744,000,956,473,260,724,155,852,956,305,
845,449,985,210,911,574,807,404,840,421,530,052,743,884,628,726,620,419,684,
233,224,762,891,739,522,115,367,985,389,025,149,324,867,960,471,894,122,461,
285,404,475,184,512,163,061,087,455,068,664,537,081,866,514,001,089,592,458,
252,183,187,653,632,142,770,337,498,686,780,079,433,524,170,599,635,986,086,
605,702,312,067,768,169,406,723,998,351,187,160,033,651,563,742,846,603,225,
780,686,320,464,420,961,398,596,757,529,755,103,181,816,638,701,063,193,940,
750,017,962,119,785,726,547,868,964,984,742,882,578,722,403,304,005,847,050,
104,927,656,628,892,782,360,396,961,665,904,175,112,331,693,638,998,634,405,
655,859,333,404,269,438,726,261,201,474,685,427,454,768,532,457,011,180,245,
919,909,605,006,212,581,522,892,051,865,370,812,406,747,394,675,070,071,809,
520,249,543,359,655,130,865,272,909,395,499,376,877,816,871,872,734,442,717,
256,120,232,559,772,571,488,255,978,967,117,780,432,448,623,698,027,896,166,
265,320,111,877,539,689,837,894,803,426,359,107,984,166,233,212,172,535,987,
601,905,424,774,226,803,866,749,287,102,680,310,207,648,548,944,240,664,332,
198,961,198,802,271,925,077,162,568,731,207,686,522,509,454,988,911,585,447,
449,198,037,859,095,126,871,576,992,305,636,867,319,442,259,319,376,057,461,
189,760,260,805,629,826,089,868,717,407,885,536,672,749,026,274,049,730,336,
847,883,362,688,739,517,506,439,632,395,628,467,290,095,866,810,655,417,353,
475,421,895,957,851,612,630,415,729,089,128,055,799,727,335,486,421,684,006,
816,272,698,006,039,464,768,478,674,869,782,286,971,484,836,947,185,041,715,
987,425,257,458,432,874,652,592,049,895,138,660,213,203,000,711,950,212,083,
869,072,598,981,787,383,762,260,697,557,830,481,833,701,572,082,494,763,205,
363,348,903,986,505,557,380,716,428,445,870,768,919,007,318,419,605,142,179,
251,002,499,802,719,465,294,905,691,491,179,010,171,506,740,612,346,801,191,
756,726,763,211,569,695,161,737,770,963,834,079,121,871,354,815,653,351,864,
971,403,571,298,133,361,789,651,869,932,501,858,842,499,501,114,414,588,361,
782,233,574,769,675,248,507,991,404,517,321,679,457,526,447,836,688,874,720,
666,683,302,164,124,396,278,731,615,138,984,252,572,498,023,650,047,177,048,
612,800,226,753,010,786,417,659,227,015,592,926,297,945,162,961,665,041,334,
802,928,330,961,185,208,883,010,219,947,130,399,891,291,693,153,663,142,719,
836,488,538,618,197,760,033,032,794,265,400,359,625,244,460,129,983,454,597,
091,143,923,574,600,188,546,049,993,614,781,005,210,479,098,119,568,847,113,
173,566,897,737,242,699,001,520,436,743,537,295,551,015,492,909,343,406,704,
314,047,511,579,403,810,195,414,610,490,890,001,551,630,896,200,969,178,610,
104,385,906,866,145,916,584,238,585,514,974,839,942,501,858,117,072,959,638,
092,851,520,631,348,412,256,264,365,887,341,957,256,010,127,357,275,573,564,
377,090,757,494,969,454,825,619,499,844,362,142,277,236,186,648,441,292,648,
413,604,903,900,899,793,278,550,427,501,253,025,103,513,239,343,421,334,211,
657,472,466,707,353,667,925,138,692,604,448,039,111,592,890,792,975,443,839,
178,317,327,448,798,751,760,897,818,908,962,225,448,154,212,134,611,604,438,
900,713,886,878,940,364,128,559,445,927,571,048,929,134,656,559,756,194,447,
114,399,826,050,174,031,644,360,843,434,408,046,825,667,928,527,568,991,948,
522,971,658,909,105,953,180,271,641,911,501,693,011,424,440,408,543,876,755,
175,685,323,178,786,960,993,715,762,001,346,524,041,414,667,585,251,363,331,
100,413,439,635,420,065,293,309,224,685,329,944,751,893,031,708,157,723,004,
636,077,866,557,015,334,627,726,630,632,933,557,701,468,477,197,243,423,795,
100,321,853,910,662,328,118,877,251,121,662,471,369,264,899,613,740,624,189,
459,673,216,209,591,145,695,987,388,607,828,673,931,718,187,836,900,658,810,
949,778,414,971,083,201,373,318,100,119,507,015,272,249,020,363,525,037,741,
819,419,548,913,551,479,828,482,933,039,670,035,610,468,017,152,022,727,534,
312,009,904,812,102,824,623,082,912,459,868,878,199,836,058,661,382,781,483,
144,976,161,534,058,708,639,055,587,181,682,800,974,070,018,557,897,779,603,
723,894,030,412,949,292,034,740,354,888,593,595,363,025,524,443,644,612,299,
553,304,756,363,724,241,836,393,612,518,072,546,683,444,193,528,870,448,260,
286,123,976,579,855,227,041,558,586,451,443,060,570,929,110,219,044,666,102,
147,748,493,405,672,487,710,438,264,664,384,166,809,379,267,134,530,045,496,
319,662,843,234,867,372,150,672,008,263,644,986,283,917,744,044,373,968,831,
739,195,376,970,447,003,496,444,614,945,157,816,136,934,246,335,947,112,421,
591,961,664,614,361,786,543,748,799,184,392,572,927,929,775,937,870,362,130,
218,886,552,423,109,100,304,954,312,220,243,434,106,484,493,187,110,349,248,
343,526,586,082,327,723,674,455,686,888,367,024,963,823,928,259,828,794,042,
354,700,404,426,080,381,478,045,732,001,940,495,727,639,097,787,009,275,674,
456,296,167,003,531,286,112,346,999,483,663,660,490,038,167,408,142,769,630,
239,209,161,412,902,142,578,622,097,447,512,029,638,959,744,511,135,581,505,
828,970,889,242,977,295,968,847,350,631,194,190,413,513,395,875,060,680,854,
964,360,457,727,579,179,067,225,325,717,088,182,346,797,750,028,513,637,089,
423,554,152,188,094,940,994,750,897,578,197,664,873,539,059,817,122,727,345,
231,647,814,610,227,206,795,055,030,566,068,689,478,439,954,900,949,851,210,
938,102,948,773,812,349,947,865,066,009,820,287,267,538,585,675,505,437,104,
829,175,171,941,187,759,360,889,496,435,516,229,949,160,944,723,454,892,995,
623,120,355,669,086,454,379,117,197,491,852,941,920,010,677,440,698,434,226,
737,323,705,891,758,225,830,570,247,507,850,345,264,538,791,897,229,679,051,
286,061,578,251,731,985,948,852,858,030,127,454,351,767,461,608,364,122,199,
453,345,779,397,581,216,330,197,396,715,218,301,489,507,692,293,131,176,397,
778,268,149,527,124,521,872,312,875,825,214,200,601,795,264,977,112,581,060,
217,368,704,436,857,105,864,521,883,579,120,194,009,289,741,746,154,059,393,
582,707,084,360,068,302,502,065,251,659,894,665,391,955,105,451,473,501,991,
857,233,800,386,708,202,791,127,016,825,125,401,597,080,641,224,386,168,646,
685,819,814,089,850,770,932,379,140,673,895,885,874,126,610,112,105,231,876,
305,254,402,237,402,039,522,665,931,286,078,607,912,187,236,886,133,498,126,
462,825,070,528,631,917,331,611,469,566,323,770,098,942,075,476,845,157,520,
738,724,400,406,923,378,671,187,182,364,888,455,746,925,652,463,734,403,215,
473,841,852,582,968,384,893,053,702,315,399,289,939,278,650,690,321,605,290,
846,305,969,549,114,810,098,025,532,381,155,635,615,615,003,190,191,541,637,
491,742,590,927,680,743,467,766,630,852,979,456,184,260,320,672,702,942,699,
832,974,961,605,604,993,693,010,440,822,764,143,179,575,296,784,118,628,580,
061,568,175,764,874,648,903,805,827,615,250,910,199,434,656,220,863,719,436,
509,450,209,473,144,338,357,608,327,110,469,576,682,321,004,679,760,919,976,
638,467,141,376,814,075,120,384,027,025,540,524,343,692,930,993,428,539,189,
564,830,344,712,778,915,819,095,712,813,160,190,785,271,849,266,014,475,239,
841,202,126,917,699,962,857,570,929,469,204,377,323,742,122,391,637,064,459,
762,946,704,111,902,747,647,555,728,792,837,252,486,098,795,439,692,016,911,
252,513,875,171,988,129,295,513,923,258,321,361,756,541,775,786,822,112,859,
683,330,326,111,400,692,176,883,903,568,532,686,698,989,367,333,699,765,405,
328,713,490,760,285,280,750,713,140,855,391,462,157,550,839,458,634,095,414,
936,115,558,546,319,365,968,293,050,201,597,044,544,104,634,534,831,830,904,
758,221,926,396,553,001,459,863,260,214,482,371,244,442,291,490,947,724,871,
694,729,394,740,133,374,722,496,246,896,893,201,616,476,759,289,052,253,720,
837,042,567,850,050,353,913,288,544,998,095,453,806,488,366,621,482,831,460,
096,884,545,970,016,262,815,069,460,448,016,547,196,890,974,748,429,348,724,
806,192,148,489,467,982,162,160,274,027,125,225,312,637,746,736,391,873,468,
520,435,816,554,872,376,056,767,629,617,678,776,109,708,725,023,909,041,007,
013,336,684,179,045,328,911,981,477,921,654,583,286,074,284,488,621,619,444,
814,462,776,140,321,128,838,921,208,767,460,160,200,542,423,762,061,551,160,
458,363,507,992,281,775,356,128,523,367,257,730,364,603,993,195,684,081,069,
135,625,403,697,728,063,292,538,406,141,907,413,766,843,666,585,083,476,722,
878,994,646,658,587,174,350,846,612,641,730,033,164,551,717,505,549,405,079,
729,294,597,177,423,560,567,380,054,717,293,289,877,061,155,162,537,344,055,
426,755,179,232,293,110,619,507,232,674,735,131,472,502,762,128,358,672,560,
400,514,397,896,695,572,199,717,827,200,458,458,545,364,007,727,659,738,084,
313,924,932,770,362,321,353,507,593,616,248,301,724,188,493,917,824,654,718,
822,679,011,871,369,380,232,680,772,673,820,837,498,466,200,687,599,297,998,
020,899,169,573,777,763,334,757,340,893,398,349,559,311,512,531,428,760,180,
965,599,563,956,318,012,924,959,428,777,160,306,331,827,396,346,761,024,416,
828,343,041,437,772,589,232,259,416,081,348,930,294,201,632,695,183,178,107,
852,019,232,105,562,974,076,753,730,678,529,058,410,499,145,118,115,652,105,
938,920,708,188,147,204,709,571,567,481,961,327,843,979,927,910,902,879,750,
361,990,148,239,757,836,313,449,092,774,011,727,082,437,375,801,719,771,270,
685,793,393,672,426,714,260,002,947,003,244,680,009,969,033,168,125,432,315,
327,746,376,322,726,923,625,149,410,079,913,516,777,362,321,234,379,130,419,
010,107,342,049,559,532,791,370,050,415,220,086,516,659,631,581,932,565,512,
858,265,167,498,831,373,025,292,510,159,788,318,207,226,630,555,126,648,554,
647,255,263,539,572,733,309,767,383,242,021,865,157,234,801,912,569,882,787,
785,911,212,223,276,758,679,734,850,500,412,916,421,403,278,014,505,370,120,
883,112,721,016,077,720,339,086,462,146,719,891,636,141,995,870,327,037,577,
259,087,595,488,780,192,634,208,235,798,431,692,218,377,998,950,879,608,165,
500,192,463,507,402,222,032,820,508,103,897,105,645,923,245,041,642,856,941,
582,321,573,215,377,749,522,334,927,218,591,153,335,259,666,806,284,531,058,
623,905,314,681,958,835,336,734,656,335,727,511,144,333,849,162,925,888,427,
620,120,499,356,554,325,240,637,730,482,767,023,456,151,573,975,414,083,060,
702,052,915,215,170,524,094,194,533,395,401,340,778,494,266,123,809,845,875,
657,011,702,920,022,206,951,773,562,234,869,116,373,093,480,348,832,786,302,
686,065,107,470,753,094,215,551,644,012,143,359,626,083,439,833,810,819,122,
757,242,256,179,946,933,792,293,390,466,646,780,731,235,316,133,304,570,669,
558,230,441,566,098,765,968,799,000,068,336,430,546,319,987,084,854,246,190,
394,079,521,716,321,963,332,213,762,347,351,072,698,439,986,689,694,253,493,
277,010,235,118,601,162,326,547,012,680,532,176,870,526,174,135,645,382,305,
426,720,904,642,943,090,676,963,407,576,914,402,613,090,535,696,954,200,505,
475,342,802,850,938,287,875,318,898,942,977,806,201,988,759,558,347,119,737,
988,070,464,061,635,300,497,486,822,549,492,337,480,451,657,120,859,298,817,
150,856,952,283,509,360,508,644,918,767,725,442,998,741,595,879,842,279,027,
077,909,621,281,371,260,377,773,665,228,807,736,391,955,044,010,150,627,769,
999,025,062,563,935,506,589,043,930,396,701,638,380,749,336,049,898,626,176,
196,483,168,464,800,958,660,235,388,302,007,513,283,800,088,904,654,718,254,
282,841,112,091,399,218,263,143,726,968,731,296,569,482,931,680,636,568,145,
559,021,936,151,543,509,781,322,159,721,922,175,347,263,848,664,675,983,944,
299,799,016,077,116,945,737,287,409,829,424,145,353,367,040,730,858,344,814,
643,821,701,339,886,869,227,356,801,889,297,914,875,851,534,537,831,850,360,
080,827,798,348,194,895,050,637,375,492,535,653,123,515,113,259,414,622,989,
984,316,700,997,894,986,556,546,962,414,315,520,463,905,713,890,669,261,376,
184,110,197,173,945,002,772,822,451,432,540,341,290,579,616,549,686,733,067,
756,511,163,140,854,656,782,514,627,459,816,722,570,938,171,652,680,688,426,
246,753,563,336,563,369,600,660,017,484,557,893,325,721,188,513,360,365,449,
244,064,117,236,761,378,746,044,390,561,064,573,907,516,520,036,242,181,011,
428,841,671,422,274,383,293,680,089,340,786,252,472,828,986,347,225,580,382,
813,212,664,211,109,815,406,638,796,234,308,307,409,331,196,019,479,243,780,
781,819,854,810,491,969,673,015,302,223,097,691,702,707,331,394,166,980,422,
583,062,649,381,914,773,654,831,923,464,515,997,096,414,777,306,347,511,618,
352,829,573,000,858,446,679,629,333,444,672,588,914,395,514,610,017,527,902,
658,115,697,973,396,141,445,523,660,110,327,187,673,778,140,516,753,760,389,
324,201,266,774,259,027,709,268,872,502,684,674,926,299,228,341,764,604,982,
269,933,416,370,577,894,778,547,164,686,137,068,399,970,870,925,594,894,812,
390,863,731,842,699,943,422,299,120,320,560,695,794,088,514,289,247,783,583,
714,144,028,430,846,968,112,534,073,273,998,251,054,900,547,514,991,667,884,
159,622,478,574,340,397,723,534,372,365,276,018,066,658,313,155,766,677,816,
052,682,048,936,847,534,625,228,937,121,740,581,164,750,836,046,050,922,781,
352,050,073,975,963,694,987,188,546,204,375,089,362,474,410,745,269,259,161,
332,893,491,622,877,234,271,342,989,911,480,568,968,800,647,340,344,504,516,
803,673,062,288,635,981,370,338,630,050,291,475,604,371,867,093,217,137,458,
533,353,557,604,890,187,767,442,361,090,096,496,882,383,842,054,253,508,233,
061,714,382,763,738,711,487,299,158,061,886,059,136,585,937,970,579,727,729,
101,248,827,452,593,833,357,395,615,985,519,590,355,646,735,871,084,265,372,
470,221,962,439,868,223,925,783,813,163,707,426,584,321,892,477,482,420,290,
846,902,068,664,746,617,134,389,041,141,086,372,750,777,500,744,477,829,921,
138,129,633,949,532,886,144,878,370,059,584,214,683,125,977,914,341,005,875,
367,602,608,696,738,974,112,202,120,939,436,103,052,872,237,103,076,479,066,
752,749,771,124,449,042,294,617,679,408,895,047,766,994,424,546,855,659,541,
815,859,998,630,069,365,811,505,314,515,433,968,756,739,621,185,895,184,308,
253,680,566,859,203,056,086,714,158,728,901,395,455,529,774,396,552,445,760,
718,606,784,594,331,854,828,931,688,800,158,019,187,494,429,174,460,971,509,
142,093,749,613,106,763,980,731,177,834,180,161,202,568,583,540,146,844,330,
591,343,031,513,787,883,463,624,771,542,869,503,467,294,432,404,579,952,838,
677,311,281,636,238,030,478,847,968,012,888,051,398,304,884,443,279,934,105,
423,869,543,247,513,587,759,097,355,862,141,239,073,333,857,924,617,043,167,
157,449,616,407,217,714,342,780,591,278,397,904,097,326,786,308,121,775,003,
952,477,975,477,456,616,290,159,679,867,849,743,949,824,681,981,648,882,462,
062,698,131,940,980,223,847,819,891,636,958,710,554,762,677,788,650,363,359,
466,200,150,568,721,110,086,585,451,365,721,982,811,057,450,110,044,579,127,
660,660,208,710,189,151,217,202,434,222,712,866,591,973,675,403,193,472,142,
692,806,286,079,634,196,997,117,699,808,553,918,196,295,059,587,164,217,280,
091,434,424,485,607,063,693,295,356,098,952,915,483,993,935,135,944,655,654,
394,707,978,964,904,733,020,257,964,042,215,503,691,814,512,114,542,984,068,
921,203,594,543,530,761,647,131,381,031,946,144,630,717,752,842,627,345,128,
059,428,052,585,520,482,620,617,820,036,059,725,611,438,445,757,905,738,673,
370,894,196,713,078,806,431,446,546,675,471,772,577,511,436,393,705,025,406,
042,777,735,481,446,910,496,619,751,789,533,222,543,205,075,685,728,228,198,
234,069,492,571,387,305,372,631,849,104,015,589,287,165,930,861,835,818,226,
951,510,702,873,519,909,789,579,510,250,887,050,921,392,282,564,481,957,362,
380,479,460,773,778,291,897,910,283,078,981,151,590,715,376,416,839,308,748,
465,777,298,428,387,240,993,581,688,910,166,762,291,917,986,085,424,896,020,
874,528,278,834,942,134,328,822,554,927,227,391,861,164,396,196,990,465,232,
022,359,574,512,808,245,815,632,765,401,828,169,961,019,265,687,581,499,245,
300,296,289,131,921,182,818,192,512,681,760,313,877,053,221,290,254,031,589,
071,227,009,785,512,982,691,210,985,388,757,614,788,798,388,191,261,203,389,
338,980,440,850,766,708,740,869,018,868,297,260,157,186,765,576,491,524,834,
697,039,163,610,968,597,574,793,663,417,057,803,566,618,542,392,881,280,290,
905,183,477,412,114,740,053,134,663,489,540,760,222,708,219,176,799,451,117,
215,449,236,485,439,725,038,742,760,642,858,266,914,704,653,142,872,814,210,
338,125,851,461,897,290,458,871,294,708,080,611,466,532,827,590,936,473,113,
724,730,945,226,915,081,804,480,135,847,991,177,216,230,149,421,998,293,157,
870,622,482,623,900,602,783,727,343,801,411,617,557,440,244,905,025,781,553,
954,552,017,754,486,827,622,997,182,880,216,172,818,147,597,308,444,970,683,
577,147,734,672,803,872,967,784,369,193,872,759,864,477,552,189,733,350,593,
444,442,302,350,004,025,689,593,101,940,927,377,331,624,629,472,393,690,234,
222,661,644,981,308,762,129,084,053,297,175,483,805,869,639,363,244,465,553,
007,847,968,294,046,097,608,945,624,707,762,757,459,822,279,981,662,120,945,
228,265,516,439,701,125,777,211,207,416,837,613,416,509,615,153,900,477,640,
770,024,753,546,014,701,244,942,868,600,065,871,793,307,227,314,085,934,412,
798,991,970,631,114,995,577,031,234,753,085,876,137,055,662,062,131,720,104,
829,350,785,561,892,419,520,798,992,725,052,362,058,021,785,841,423,256,030,
837,857,683,098,399,444,706,224,363,061,433,763,753,005,689,291,124,148,856,
206,920,548,226,256,178,662,844,423,092,704,898,551,686,018,873,404,748,626,
006,418,695,159,954,868,610,500,288,255,247,421,682,511,241,790,063,619,520,
064,369,492,230,440,205,855,310,400,608,368,583,694,238,238,194,968,365,466,
057,006,320,121,398,128,562,992,082,150,165,968,244,422,303,548,460,307,479,
041,515,875,857,749,748,755,613,653,568,029,374,125,157,301,293,651,111,621,
411,436,493,901,422,900,650,059,945,961,143,876,177,734,165,508,314,211,360,
883,835,515,522,451,569,284,761,151,347,454,484,171,502,253,503,375,793,259,
584,614,398,534,870,383,610,978,549,420,140,795,045,757,350,585,185,361,481,
703,703,583,229,457,932,943,503,914,355,831,027,439,731,859,279,409,422,969,
141,863,064,743,011,252,384,335,462,043,354,934,270,696,354,318,318,007,231,
275,395,057,919,342,263,872,387,271,040,073,193,363,221,032,239,196,771,113,
929,329,031,813,694,560,633,129,206,894,281,921,081,724,534,459,020,545,451,
526,412,216,315,006,071,409,966,052,118,963,704,806,255,609,523,239,917,565,
909,219,220,798,981,319,517,085,903,627,340,909,246,479,185,237,649,213,653,
531,725,077,073,921,934,157,041,579,704,242,388,604,527,290,306,139,481,170,
366,882,550,370,253,326,051,071,532,195,265,034,985,278,072,795,580,129,009,
939,768,367,001,295,662,853,537,649,994,457,345,265,622,126,996,581,120,685,
414,169,039,361,690,407,519,616,640,017,559,560,886,294,225,019,681,522,352,
117,671,948,826,895,480,506,275,065,599,619,926,004,927,807,042,344,014,898,
304,883,266,627,336,673,509,994,247,437,471,820,846,276,495,862,284,189,244,
932,599,413,859,628,220,211,215,712,515,474,473,467,836,689,732,982,345,527,
049,006,806,922,713,891,268,026,192,575,109,323,039,427,772,958,585,615,915,
120,174,558,755,888,597,925,782,538,280,830,759,746,870,237,120,760,292,982,
562,794,904,220,675,714,054,590,914,771,797,392,513,076,953,881,700,113,270,
010,863,333,205,575,504,313,177,951,599,379,161,623,807,030,260,208,044,860,
824,780,335,818,945,049,381,689,374,922,908,033,092,753,633,312,716,292,335,
995,291,500,060,312,321,896,537,789,420,029,709,908,607,060,210,206,629,019,
101,529,918,312,913,598,099,513,321,641,700,717,803,095,591,797,491,730,082,
757,223,621,749,675,728,632,985,124,643,264,777,998,965,982,348,478,088,303,
314,100,256,430,439,091,334,461,735,248,526,872,555,159,188,498,486,798,706,
972,355,241,971,715,358,308,260,751,216,981,558,896,751,689,816,080,104,986,
707,438,089,841,985,964,864,177,154,908,617,339,197,579,828,650,010,984,192,
079,782,766,128,065,488,204,252,381,067,292,857,074,940,956,942,871,317,025,
930,664,901,489,825,421,415,404,297,014,451,223,446,022,971,953,306,475,658,
205,592,772,187,807,316,459,769,671,913,776,830,494,649,206,496,982,569,287,
651,866,763,795,141,458,611,406,367,376,469,180,890,936,121,280,225,617,716,
900,388,729,854,028,142,214,669,934,564,743,764,081,805,499,754,253,782,674,
161,107,173,415,619,580,481,461,027,522,902,094,569,978,765,153,551,554,542,
269,889,155,705,078,311,296,444,315,508,662,754,136,672,953,130,929,523,335,
010,264,418,855,926,380,844,447,499,360,290,144,796,438,693,749,478,685,814,
604,169,123,788,722,251,508,861,030,452,558,959,964,715,519,013,598,628,724,
016,411,821,760,670,058,270,370,977,403,966,616,477,085,959,703,401,225,249,
709,692,098,683,914,130,707,913,654,146,484,900,467,438,601,541,692,835,452,
508,562,600,672,084,601,627,396,837,680,884,436,185,258,074,071,356,117,217,
031,670,741,263,172,493,515,707,081,715,216,685,403,101,290,350,020,300,663,
939,642,435,695,481,075,461,423,593,258,719,435,689,363,333,591,943,128,374,
812,396,189,335,241,711,487,624,744,544,804,437,679,543,319,801,745,718,378,
888,137,410,621,600,202,271,731,191,112,006,864,868,092,276,870,752,069,218,
281,955,857,439,008,858,838,476,000,361,345,815,436,176,037,479,293,660,102,
419,522,037,923,596,160,555,507,211,874,475,720,110,037,871,487,834,912,218,
551,167,530,080,452,198,793,038,414,912,828,374,809,706,317,628,055,131,224,
985,182,299,577,140,116,569,167,609,582,931,223,550,227,245,178,212,779,173,
986,055,945,991,745,260,442,914,101,205,481,351,624,769,626,201,694,750,616,
093,400,683,871,968,464,549,255,695,959,784,953,885,674,835,122,652,238,300,
653,120,240,855,070,549,623,475,939,440,441,712,290,108,715,751,068,598,507,
271,309,347,143,323,101,137,780,093,800,636,887,211,700,278,820,351,336,432,
667,886,777,904,972,473,072,078,157,308,298,872,263,115,789,361,039,367,185,
423,139,047,329,627,340,311,583,115,409,448,402,996,859,374,110,411,348,021,
300,085,629,176,546,518,442,354,624,375,648,765,931,807,395,783,683,927,413,
528,981,157,228,309,577,769,011,102,648,899,556,645,941,912,533,757,403,653,
701,258,880,761,952,923,916,698,253,939,939,172,173,461,095,094,278,493,052,
960,084,800,390,743,875,196,340,085,914,925,095,104,478,616,565,865,444,678,
247,847,623,355,952,989,150,276,510,739,388,592,621,956,759,636,542,358,615,
591,325,006,858,910,390,279,503,247,456,552,466,930,105,984,657,431,055,638,
451,276,131,672,279,126,152,718,339,584,906,819,712,866,848,384,720,713,637,
604,965,201,689,183,377,941,992,508,592,904,959,296,746,658,444,621,331,949,
248,443,686,986,185,949,890,907,882,602,693,873,951,098,414,431,031,515,108,
160,411,485,785,661,320,215,222,085,617,103,999,258,464,867,533,455,831,645,
818,938,527,027,084,169,317,428,978,467,193,305,785,060,466,325,693,882,756,
292,811,301,310,418,682,615,326,026,065,817,265,861,463,189,438,662,475,541,
721,129,685,824,296,492,061,175,844,934,546,430,019,921,684,845,550,768,269,
014,016,829,546,787,780,710,653,308,104,739,578,273,019,116,507,975,769,149,
251,290,496,662,716,155,936,128,663,492,503,753,564,200,819,630,132,526,945,
817,037,958,934,708,347,197,264,635,373,465,171,602,269,998,645,668,520,057,
548,981,446,474,632,516,763,103,831,126,118,542,389,787,895,084,190,573,609,
780,420,315,657,037,280,346,844,471,631,561,706,911,804,474,321,855,906,423,
546,206,145,572,514,895,658,660,151,218,712,711,431,459,698,382,690,753,570,
240,886,227,292,986,345,252,307,936,679,728,272,926,191,590,296,321,678,313,
647,378,410,635,739,555,232,508,222,112,977,079,365,827,730,429,333,904,973,
178,269,039,909,480,647,555,221,141,865,918,850,506,078,390,904,807,542,362,
994,480,338,854,377,653,683,223,981,560,418,700,905,594,724,490,494,166,386,
942,554,367,621,773,757,301,986,674,394,384,843,536,041,330,198,182,269,728,
064,401,310,452,975,787,897,575,600,070,851,311,591,338,613,875,777,881,552,
352,408,619,942,157,510,226,774,892,695,063,803,845,244,192,435,789,521,534,
282,025,797,883,916,768,477,368,909,204,465,606,666,706,047,653,723,668,855,
314,421,879,035,532,365,037,372,343,416,282,873,333,872,197,251,047,204,122,
009,185,650,067,996,637,129,969,660,887,859,433,680,483,960,847,048,397,596,
929,733,118,336,793,243,913,658,695,409,547,051,238,139,189,533,707,039,297,
652,787,164,914,043,356,318,751,651,572,155,606,216,373,700,527,627,534,155,
542,115,815,228,427,721,249,509,811,113,588,654,896,016,085,282,931,430,836,
604,472,676,352,332,463,110,607,148,105,924,516,425,829,542,943,767,974,849,
254,247,640,642,155,938,915,626,103,143,329,337,952,253,566,400,957,834,583,
065,905,992,770,356,283,834,947,185,867,507,268,302,658,248,999,242,507,460,
361,145,215,293,009,845,921,821,320,966,089,331,091,086,788,220,624,666,116,
096,088,679,384,014,027,616,740,585,860,435,566,200,810,593,453,571,933,490,
041,965,094,772,455,545,727,630,579,683,633,797,138,608,490,220,543,485,831,
765,183,468,817,089,693,098,565,160,134,095,288,730,911,434,784,870,736,422,
517,515,235,225,679,206,215,160,781,029,545,058,159,343,395,235,761,266,532,
286,383,118,417,495,843,842,733,493,995,643,972,310,015,739,431,295,952,167,
921,804,028,094,450,667,543,927,041,164,796,008,469,889,353,552,277,982,187,
712,482,461,049,226,300,761,171,023,442,995,241,455,268,312,706,357,367,034,
427,909,106,695,013,590,874,549,590,096,702,985,284,412,531,595,123,622,468,
410,962,168,951,711,550,343,900,448,546,237,341,023,479,051,277,375,654,276,
576,491,564,479,641,182,570,925,577,180,913,128,729,641,153,565,956,994,427,
390,511,375,962,798,797,010,781,442,499,893,856,241,593,424,801,259,701,097,
463,071,402,596,335,290,479,652,115,272,855,459,739,333,243,923,728,078,080,
672,927,824,983,496,167,026,155,655,082,180,211,954,108,281,608,460,005,194,
911,022,993,244,859,410,312,560,244,939,340,273,743,817,667,582,092,301,710,
667,623,087,248,479,446,779,434,798,221,731,852,403,684,385,701,931,908,026,
356,097,347,509,013,306,884,396,247,837,908,653,129,955,273,462,357,924,266,
206,689,449,824,128,837,688,914,484,506,799,807,210,560,470,816,404,172,006,
042,515,307,081,538,409,085,087,477,318,844,880,358,572,925,576,500,620,852,
080,099,577,718,664,277,757,153,448,645,008,607,845,307,641,434,772,125,081,
469,082,061,100,959,617,975,216,989,582,594,134,327,623,574,383,399,225,267,
909,288,434,173,434,796,400,614,670,628,986,753,173,794,741,002,208,632,392,
596,596,073,944,848,172,870,452,099,487,683,899,371,094,882,868,064,493,225,
667,355,639,335,085,806,518,600,994,131,069,326,028,782,595,472,706,142,388,
595,526,103,201,304,983,239,470,997,071,135,070,647,473,398,362,153,522,822,
967,249,230,545,984,040,011,385,591,178,058,785,862,852,458,178,159,092,898,
432,046,135,332,431,166,137,503,345,725,941,712,972,911,085,988,930,251,481,
346,792,730,328,832,041,733,169,554,389,735,091,950,658,138,485,551,581,750,
242,957,652,313,471,785,607,420,384,653,558,631,093,875,145,161,275,033,723,
497,002,684,133,719,218,160,487,425,011,766,450,055,621,186,565,194,744,319,
082,491,731,063,228,936,958,671,693,390,268,081,827,873,510,645,977,957,901,
169,170,523,718,191,633,275,189,787,461,870,907,290,083,608,395,648,368,354,
205,722,101,940,565,198,115,587,508,681,284,394,449,781,533,913,606,965,824,
736,484,092,335,932,705,833,468,765,508,317,768,072,055,609,669,398,133,247,
150,713,653,115,620,169,132,033,963,092,364,779,174,174,804,608,056,174,807,
642,352,111,222,299,098,801,821,686,324,985,116,225,723,611,087,715,153,366,
346,186,248,286,519,705,649,269,348,713,375,455,982,551,434,470,430,203,039,
729,214,815,285,356,638,198,153,215,914,425,909,778,887,422,870,936,669,275,
323,119,536,587,388,724,027,712,887,793,967,730,189,057,607,139,003,929,550,
224,525,952,649,117,949,660,728,524,070,651,572,033,608,925,953,221,723,465,
503,220,175,135,367,211,655,328,863,858,400,227,573,529,057,861,660,597,789,
410,680,777,942,660,758,935,259,529,283,839,791,516,334,973,984,531,711,698,
288,591,713,040,842,858,671,387,541,196,985,323,229,667,762,823,044,499,187,
885,113,911,744,328,398,120,847,493,369,864,427,214,768,782,831,772,645,121,
258,857,258,561,190,592,819,624,428,887,470,948,509,880,609,014,944,334,872,
693,923,010,777,125,802,194,799,597,875,808,670,581,826,048,183,256,414,619,
061,789,242,358,631,235,884,281,036,185,581,488,973,742,724,634,540,982,543,
566,515,568,152,443,477,689,348,515,100,258,764,947,025,622,232,104,838,837,
855,857,468,204,486,832,878,526,901,865,153,852,961,080,411,213,494,343,975,
717,205,830,554,916,395,513,463,538,470,454,065,676,580,260,745,412,482,929,
524,875,559,405,803,533,332,681,170,011,262,242,540,020,577,983,356,532,941,
960,205,692,228,524,549,170,174,765,626,733,526,641,122,000,680,854,410,025,
677,315,976,147,404,094,947,343,668,351,358,678,081,557,095,431,930,347,139,
198,601,431,315,875,596,227,913,783,221,070,080,060,799,378,994,132,327,570,
000,538,752,534,542,490,525,173,314,415,156,872,591,494,511,546,692,641,186,
192,034,576,040,587,821,572,407,712,107,760,167,106,067,562,047,641,624,894,
534,336,234,523,347,114,745,969,893,789,993,903,453,952,854,443,742,245,011,
501,817,384,253,548,775,018,189,438,940,568,664,252,654,933,452,850,446,070,
910,949,255,279,603,288,874,015,463,929,083,558,601,398,454,562,430,596,013,
892,932,131,377,340,823,045,390,991,295,008,914,105,546,629,697,398,536,827,
927,331,619,472,290,930,714,478,381,581,380,438,110,042,509,887,858,636,773,
423,885,630,038,733,621,944,332,132,416,062,655,278,945,723,095,590,492,635,
022,722,693,996,988,715,410,931,088,121,499,359,471,550,324,888,989,911,125,
926,207,822,150,517,451,878,833,910,261,538,394,477,452,001,865,756,844,275,
516,741,859,279,552,270,994,081,411,720,185,690,970,806,082,379,350,816,425,
341,109,934,044,578,301,572,035,011,881,549,969,402,106,546,562,892,301,925,
432,445,153,468,188,925,876,558,200,114,742,994,341,524,949,750,684,812,325,
183,390,546,753,041,530,034,050,623,870,458,971,009,330,262,070,426,459,103,
575,665,663,282,463,723,167,474,297,506,522,969,900,042,146,429,699,162,517,
326,476,831,967,445,145,953,571,849,499,216,144,670,132,771,794,774,480,627,
543,271,848,172,630,951,558,450,647,158,088,756,049,183,135,983,772,316,785,
977,986,106,287,564,929,466,813,922,274,019,152,676,569,227,497,058,051,924,
626,354,844,396,551,470,355,301,084,972,784,606,919,685,138,084,295,409,972,
461,181,554,705,188,203,456,007,993,983,258,541,967,994,287,932,041,055,686,
852,320,258,808,718,754,558,195,205,684,017,457,585,486,694,807,526,823,721,
379,757,915,721,760,382,021,235,206,346,003,119,294,043,686,983,976,477,356,
301,267,414,038,905,259,830,974,373,273,009,715,872,561,164,119,191,955,265,
114,520,266,268,043,847,621,000,898,732,209,092,923,309,904,932,336,784,086,
760,944,938,715,592,838,560,574,418,735,137,201,761,536,916,627,412,274,692,
927,420,347,009,262,903,898,382,000,419,083,786,961,813,583,090,499,308,068,
193,654,799,568,230,949,043,084,072,159,943,307,849,553,817,365,415,676,794,
546,522,632,620,176,190,099,998,885,579,500,630,932,863,878,432,011,062,648,
289,492,262,926,887,511,142,257,798,485,081,908,439,517,417,982,636,897,630,
451,942,996,702,814,799,066,280,791,036,614,519,625,976,622,331,040,399,968,
276,547,691,643,603,302,692,076,161,836,976,388,243,346,098,563,501,336,946,
107,580,886,177,119,883,182,799,368,832,771,975,363,022,036,624,483,872,722,
499,567,618,917,132,547,041,988,757,087,555,449,352,595,432,724,422,489,012,
359,949,587,868,168,839,653,749,058,293,146,445,865,709,503,589,280,179,105,
657,978,485,069,803,605,640,119,232,368,751,913,550,898,298,469,745,137,117,
032,268,416,214,502,486,180,117,962,893,050,865,161,000,230,482,323,546,684,
123,720,437,624,202,705,360,336,227,782,837,848,385,149,865,010,952,771,678,
513,899,940,167,057,531,528,295,839,585,557,677,996,967,695,835,378,364,354,
630,479,728,769,665,031,551,751,749,192,934,768,239,093,862,229,371,589,782,
831,075,230,411,975,002,552,643,615,043,363,393,336,068,118,101,649,528,193,
251,405,187,617,708,285,788,776,063,902,877,234,636,314,380,285,440,214,252,
851,673,878,754,722,492,895,231,027,008,510,624,094,236,598,727,296,355,128,
471,318,171,875,778,267,153,830,870,804,758,369,921,724,822,090,360,707,614,
013,542,000,115,110,280,779,045,623,250,647,790,311,542,427,825,104,265,738,
552,672,379,308,300,739,966,953,567,273,969,356,964,244,045,677,860,745,797,
296,236,572,525,690,070,297,191,067,777,619,624,201,816,506,682,725,352,944,
899,801,873,248,001,776,441,996,752,080,941,016,252,413,543,468,983,554,193,
742,644,194,803,486,666,450,035,892,961,458,015,701,638,168,824,434,182,457,
699,602,912,570,427,644,717,121,683,492,263,208,080,739,154,226,343,474,272,
258,453,722,161,571,554,415,547,701,267,482,685,152,062,437,670,470,758,127,
326,600,070,702,461,954,907,911,488,285,129,422,828,400,208,495,478,633,616,
786,509,323,727,520,813,729,405,433,534,383,037,133,485,859,094,383,585,179,
258,203,463,832,350,538,800,572,278,269,838,734,822,174,922,738,197,554,716,
299,370,136,731,359,502,075,998,751,798,852,297,267,832,124,754,417,252,424,
356,644,165,734,291,849,885,169,609,385,275,148,399,950,914,958,208,512,399,
353,207,910,630,286,130,953,577,233,565,036,862,853,920,129,934,743,566,704,
321,458,812,824,866,314,259,707,643,702,107,108,574,213,133,686,629,044,558,
664,796,040,926,847,361,867,846,465,282,613,178,859,905,586,299,327,124,252,
507,957,834,598,538,376,948,696,311,333,490,745,854,853,099,598,001,560,862,
537,653,140,588,680,083,240,669,890,003,483,062,828,979,216,680,254,996,930,
126,639,824,575,574,479,911,405,918,967,287,964,773,048,359,503,088,984,262,
125,924,298,431,035,661,911,854,823,173,342,274,289,972,977,102,136,977,567,
478,521,319,432,260,741,648,279,555,240,731,496,054,662,062,275,046,871,275,
901,160,625,798,700,046,464,890,010,520,490,650,846,573,034,789,808,352,103,
060,160,215,349,092,434,251,380,967,823,900,356,538,796,495,237,784,291,981,
101,996,505,665,518,894,153,059,068,821,760,556,647,548,538,300,025,441,033,
114,978,061,482,955,453,688,386,358,740,135,277,313,402,309,033,469,422,207,
757,507,266,277,291,043,013,816,266,639,938,116,478,235,563,347,559,306,844,
166,338,087,146,058,437,796,958,158,399,283,101,513,915,718,265,288,011,504,
398,920,845,228,448,619,354,876,916,326,995,104,098,452,611,921,367,297,011,
255,935,349,039,576,587,190,350,552,598,530,468,883,820,069,283,400,461,225,
856,273,511,461,030,758,974,307,730,739,678,666,868,397,894,016,310,363,325,
358,084,784,701,074,806,604,520,929,780,598,744,542,187,621,404,777,322,896,
848,002,567,888,707,745,325,132,742,468,081,596,683,138,284,999,938,737,503,
792,927,052,104,886,826,508,907,531,870,196,115,218,896,317,886,347,453,077,
408,781,965,010,486,097,671,288,711,443,292,550,338,017,820,522,620,062,565,
966,769,845,988,516,219,780,964,979,279,526,605,394,130,959,112,370,349,345,
859,769,840,539,482,202,492,170,821,360,138,714,721,235,899,671,507,873,415,
597,471,882,722,654,576,152,150,363,726,080,050,185,217,908,510,101,950,672,
551,299,207,667,288,458,933,161,439,429,723,135,037,832,880,263,513,810,521,
503,252,953,887,475,195,587,122,332,477,572,393,721,790,789,227,513,027,146,
607,660,151,739,511,651,436,166,155,684,489,923,425,013,913,528,932,202,554,
775,602,372,866,677,812,933,761,769,017,209,402,419,528,887,304,821,774,127,
724,034,032,269,177,396,013,448,330,874,118,761,447,509,183,612,101,796,569,
630,562,063,346,133,105,242,953,264,963,015,319,658,852,864,577,861,377,173,
427,471,712,397,321,832,437,279,202,547,700,555,524,627,232,207,096,564,486,
485,369,792,099,214,360,562,265,305,262,847,210,766,822,534,299,969,708,966,
757,924,475,661,303,912,325,388,516,638,441,110,843,394,327,113,195,111,086,
091,598,986,026,850,790,218,637,086,605,674,020,939,718,762,449,450,146,672,
766,365,334,144,696,687,539,350,585,522,150,820,328,695,621,480,123,426,281,
902,647,653,258,729,240,179,363,847,960,029,461,392,814,807,509,503,148,191,
762,680,858,838,372,805,739,579,408,243,974,652,036,340,432,483,220,949,821,
260,939,766,559,030,393,642,428,736,461,470,590,180,915,913,286,567,695,647,
651,270,347,952,423,477,109,909,165,705,299,818,356,560,164,690,166,475,894,
734,675,486,273,550,249,601,774,148,558,354,082,874,092,084,605,933,165,344,
635,609,880,580,133,806,578,676,252,342,498,164,727,616,171,072,889,995,255,
468,523,911,356,288,647,862,310,161,479,245,557,122,567,030,434,242,895,446,
345,595,838,969,490,109,244,500,868,401,730,843,420,245,795,980,484,640,554,
777,941,422,858,001,689,373,619,248,297,294,025,247,552,495,172,607,522,090,
166,375,593,159,919,804,673,440,375,116,906,565,324,952,089,030,819,272,005,
192,059,773,452,637,790,532,582,667,256,041,091,486,971,870,366,758,247,806,
452,251,413,637,779,783,599,397,402,731,474,350,327,344,772,665,232,065,657,
139,801,872,380,930,807,336,434,820,076,868,575,413,473,495,869,951,527,878,
699,124,967,443,634,143,458,580,821,080,561,858,214,651,029,016,036,209,947,
587,785,354,733,760,973,581,505,604,565,657,269,949,337,991,028,178,951,061,
926,699,182,602,722,301,015,996,288,520,514,635,486,963,020,446,788,202,598,
835,963,694,659,562,196,694,336,329,723,514,659,200,839,807,580,992,869,802,
705,265,903,963,064,756,743,404,449,518,318,988,651,763,627,945,824,649,346,
882,157,964,819,323,720,591,451,829,611,611,651,465,087,646,449,828,772,316,
121,088,820,429,688,222,049,112,317,529,385,827,034,950,453,477,048,031,418,
436,626,913,960,407,793,437,364,380,984,269,814,137,933,186,290,716,228,618,
949,039,900,420,810,468,890,069,225,551,974,471,058,547,287,469,409,839,322,
190,815,661,420,041,132,450,664,421,568,628,772,112,823,748,822,573,034,198,
488,026,457,235,670,387,993,405,475,684,870,440,945,931,808,211,270,076,021,
975,983,479,783,420,686,223,637,082,290,661,515,353,399,093,892,244,553,601,
034,668,439,583,217,155,873,345,126,358,914,145,322,047,900,639,294,702,496,
004,724,697,081,273,665,813,644,542,119,592,063,729,757,499,861,442,893,401,
195,245,271,729,886,888,056,672,627,590,018,913,075,275,316,214,151,390,252,
169,483,146,848,400,948,894,907,652,730,184,358,525,299,810,909,521,847,327,
538,175,578,610,817,692,903,957,911,393,818,114,934,141,418,903,606,870,323,
957,243,856,494,765,219,264,798,030,082,869,858,720,491,795,463,785,711,395,
946,915,178,443,239,742,867,814,020,154,637,359,960,413,763,316,314,170,111,
243,435,331,099,409,293,521,812,926,018,830,919,141,694,867,452,499,487,146,
371,699,213,034,999,863,111,740,862,841,373,699,458,908,738,174,672,472,457,
102,122,901,156,283,788,308,231,307,028,062,246,070,643,352,816,021,465,952,
825,414,303,482,834,020,596,288,771,924,598,287,574,276,261,417,852,667,549,
533,075,748,784,651,624,107,762,210,123,029,791,252,724,704,507,682,780,283,
756,536,125,637,829,504,750,078,343,787,744,475,723,951,128,385,226,356,867,
765,334,689,274,693,797,057,543,900,154,167,949,154,338,550,177,445,177,998,
266,392,467,521,764,818,888,961,933,884,402,722,978,579,377,038,426,738,720,
816,463,639,279,900,719,151,747,403,284,227,898,356,299,964,789,770,664,877,
610,436,583,403,469,992,415,797,448,399,295,666,734,331,033,751,729,655,980,
277,999,888,689,214,724,029,289,949,726,592,540,888,861,235,707,961,600,210,
662,903,145,333,331,015,496,031,141,154,156,683,633,143,641,210,354,533,837,
019,084,635,650,387,609,511,886,431,146,599,281,533,383,243,398,368,083,722,
304,810,243,645,648,616,287,053,448,215,506,006,928,885,479,030,855,944,656,
417,717,002,278,385,359,585,393,737,486,143,595,927,954,595,512,082,894,885,
491,871,414,313,832,007,996,672,928,597,768,502,610,356,094,925,550,375,444,
613,549,032,384,314,291,085,442,513,223,789,491,968,974,138,126,266,827,485,
369,164,288,888,259,248,353,863,311,935,229,493,997,022,667,811,542,090,502,
110,975,749,585,366,071,697,626,522,597,352,734,701,837,713,869,719,096,339,
045,902,725,268,923,718,390,609,904,113,607,274,249,967,914,249,167,947,919,
122,898,797,778,892,092,628,080,560,928,289,381,819,162,420,099,568,565,941,
718,452,784,131,311,215,559,225,258,520,095,937,050,024,752,343,691,930,899,
643,505,910,635,586,854,290,057,889,614,281,570,846,466,004,036,079,266,795,
461,314,936,046,995,103,883,435,742,621,357,629,076,514,583,353,389,104,290,
177,649,881,941,551,304,454,339,793,161,636,246,635,605,601,408,456,814,882,
092,816,200,410,345,790,381,896,877,616,995,874,948,533,065,992,004,418,420,
231,590,163,871,045,751,790,635,055,914,961,639,043,635,039,337,782,181,485,
099,846,907,951,384,089,988,326,208,503,202,620,724,089,337,099,584,685,175,
783,184,261,669,069,494,129,289,618,411,169,549,328,940,256,284,286,426,406,
924,921,121,115,142,023,355,768,048,957,150,545,523,452,744,881,081,210,081,
221,249,945,058,272,937,957,941,328,018,733,552,634,886,600,526,541,321,008,
098,795,998,085,622,486,357,696,707,916,306,750,355,765,214,513,798,308,755,
337,549,937,954,257,636,104,134,485,395,448,099,547,880,703,562,921,571,243,
309,044,058,187,381,896,846,576,744,004,159,739,958,630,544,065,189,466,795,
572,665,122,849,855,998,811,001,718,281,197,824,476,962,166,245,443,428,248,
434,695,231,294,071,320,649,499,614,744,530,676,835,028,267,427,706,394,242,
188,905,995,542,475,853,283,452,460,118,841,580,651,909,480,244,829,730,047,
212,634,862,772,667,285,076,110,567,816,996,314,736,265,493,880,992,415,669,
195,421,321,447,168,641,349,750,262,513,631,809,860,032,152,411,781,124,117,
801,740,540,851,700,484,079,307,719,703,645,819,012,373,322,283,216,410,144,
698,834,633,054,965,869,281,119,706,142,743,328,506,033,105,418,160,748,242,
782,980,915,590,937,876,732,055,169,088,351,231,210,278,088,161,788,334,215,
082,056,953,733,515,809,006,374,924,442,183,850,241,390,211,371,460,433,697,
190,976,708,189,519,058,113,193,307,843,755,984,346,196,511,452,802,581,942,
034,856,260,862,227,493,152,691,078,504,418,577,880,673,870,121,511,476,511,
414,030,949,132,251,442,975,003,541,059,725,878,190,124,057,095,444,533,675,
194,361,984,339,138,673,075,255,489,286,077,040,878,643,287,354,123,334,586,
518,390,894,131,107,477,219,786,672,020,180,284,986,938,347,998,502,993,414,
628,756,628,905,185,872,828,672,141,338,435,642,625,568,147,559,328,437,229,
133,516,941,467,798,568,065,863,761,075,182,292,044,285,881,032,984,563,931,
608,108,504,045,930,250,385,598,462,725,324,627,284,156,242,679,467,114,154,
259,857,518,658,826,585,506,746,289,421,121,921,664,538,414,325,526,656,465,
345,432,463,303,831,561,693,821,744,974,922,190,729,501,530,386,856,278,979,
359,335,648,809,912,236,734,045,393,401,491,239,260,770,658,797,886,876,594,
037,126,873,750,840,398,306,554,764,705,440,989,547,562,515,056,379,444,933,
161,582,107,961,928,255,186,556,174,516,384,074,470,723,667,873,681,981,693,
959,624,896,628,454,598,867,893,645,555,629,881,147,036,043,450,264,706,392,
239,625,470,392,712,439,860,093,160,784,910,833,258,743,057,726,878,646,734,
369,724,964,928,468,757,230,795,902,254,847,889,740,642,478,676,633,554,956,
969,713,747,721,816,485,649,732,819,031,471,278,869,555,147,507,200,576,774,
038,987,666,304,804,893,982,592,120,747,140,214,185,437,597,930,623,519,965,
080,891,687,957,350,673,773,416,409,161,107,331,225,175,436,029,714,602,848,
915,380,461,092,277,414,997,205,466,368,860,079,071,735,619,174,800,389,560,
578,085,004,887,177,283,359,532,994,229,287,517,741,829,979,197,426,604,330,
102,191,088,359,010,289,447,954,884,921,225,583,004,277,324,439,855,868,168,
212,079,450,477,196,094,525,143,018,673,882,496,021,784,675,577,879,757,190,
705,565,402,612,860,033,810,683,015,962,661,981,483,118,176,837,818,065,679,
901,753,795,167,830,595,975,147,815,651,094,709,949,835,271,470,246,673,582,
029,585,002,801,336,923,927,230,928,769,115,588,997,419,346,571,767,483,606,
616,969,169,155,478,079,776,700,763,050,194,041,923,386,136,359,792,647,304,
156,994,915,949,561,745,780,813,199,576,212,426,157,205,222,264,007,548,413,
521,275,112,775,581,467,252,819,782,958,939,017,250,534,566,669,083,566,083,
006,393,220,991,879,545,789,525,588,155,898,310,108,200,942,775,067,995,454,
284,939,703,522,353,010,192,061,856,114,513,314,645,953,564,853,106,886,771,
198,354,144,913,956,342,661,433,237,482,103,082,612,111,492,090,892,981,064,
459,093,439,361,258,408,207,714,673,819,286,889,695,459,718,165,517,127,682,
929,607,551,657,002,368,343,678,533,156,903,585,575,484,260,597,651,990,673,
375,046,737,242,693,496,615,350,382,477,700,011,380,371,783,602,492,264,112,
629,108,247,371,546,919,515,817,436,950,646,635,466,872,269,427,928,128,682,
564,540,797,948,875,063,170,317,819,621,451,174,899,277,967,857,015,117,809,
865,237,088,458,427,769,144,244,469,583,005,597,057,052,024,684,813,165,610,
925,235,058,482,689,468,599,125,129,523,592,781,600,864,895,787,793,706,971,
579,700,024,353,795,300,687,621,771,150,130,078,751,299,809,513,383,688,168,
119,521,162,985,757,692,174,698,345,237,127,672,505,017,268,380,884,171,308,
735,435,643,147,604,869,406,452,775,908,364,653,385,343,909,185,710,855,299,
758,590,403,053,316,501,743,004,198,021,130,690,274,753,711,151,402,907,001,
971,641,439,827,795,450,496,607,643,909,263,684,374,778,460,455,348,859,039,
421,032,567,128,412,817,558,370,586,670,917,882,250,741,012,248,816,402,639,
681,815,532,431,548,155,650,532,953,031,244,142,182,449,803,458,345,034,984,
590,669,301,800,016,201,985,808,082,619,800,107,911,666,813,683,472,640,336,
201,328,824,229,918,877,962,525,238,679,469,703,157,920,822,552,470,562,584,
132,588,084,575,296,969,416,002,448,880,225,814,184,978,670,784,750,368,181,
349,980,497,221,614,207,349,475,749,451,615,376,887,802,816,538,199,875,578,
201,187,991,242,517,392,619,348,493,444,740,151,409,463,251,703,340,079,653,
505,135,511,608,747,992,541,230,889,751,124,550,037,103,332,045,825,394,080,
295,472,487,168,688,729,424,329,909,653,991,254,713,172,947,738,962,793,696,
422,630,244,707,284,030,071,923,225,968,213,491,258,921,341,847,601,175,847,
297,759,335,106,087,015,688,237,941,793,275,244,114,130,880,818,578,648,047,
673,729,071,752,117,350,081,809,781,475,324,983,853,005,855,000,214,245,422,
632,974,047,643,107,174,472,764,049,870,849,211,879,272,575,692,373,522,780,
763,241,551,958,787,860,330,745,303,672,880,710,349,610,309,005,331,121,083,
149,719,146,769,710,423,521,380,478,070,692,065,043,949,193,294,051,681,057,
093,904,783,658,998,964,613,817,298,718,428,323,987,924,002,792,666,208,807,
757,139,158,929,039,657,689,046,282,365,173,502,346,500,528,858,637,807,665,
690,188,913,189,605,329,691,611,119,966,529,807,124,923,790,665,463,861,669,
001,834,371,306,035,030,767,454,799,771,399,761,421,044,866,495,829,772,063,
467,563,642,191,008,969,673,023,309,281,973,475,443,962,722,135,876,901,590,
163,862,991,855,493,740,067,238,665,375,291,633,262,305,020,347,682,682,620,
731,274,738,779,142,737,261,626,656,618,165,564,980,967,754,866,842,115,018,
563,142,358,418,417,568,591,300,184,253,318,742,748,424,451,971,594,127,705,
424,285,924,104,076,512,389,373,134,406,173,687,945,337,371,237,657,450,592,
621,654,456,887,699,462,445,143,546,629,184,691,682,785,259,112,527,051,039,
815,124,096,774,826,818,320,529,907,961,368,820,325,354,902,411,964,125,283,
662,002,631,771,432,241,082,065,137,193,143,163,087,672,282,764,978,075,076,
579,248,205,757,010,166,640,170,228,890,150,400,373,583,250,933,630,248,922,
233,872,558,421,283,212,318,328,976,581,382,591,737,413,256,929,326,953,292,
552,041,500,487,979,591,204,534,683,539,792,735,207,590,102,418,513,067,459,
699,501,187,004,684,187,498,418,659,485,539,175,264,059,467,071,665,456,925,
758,569,734,023,690,241,898,628,061,952,771,345,740,801,352,014,728,685,103,
992,145,436,601,243,544,045,252,769,159,809,136,444,062,676,079,105,413,750,
400,085,570,215,792,479,922,920,629,038,978,302,097,009,783,684,599,108,171,
532,577,531,544,950,624,572,246,013,263,700,271,412,242,613,740,216,197,786,
780,979,749,314,837,434,323,532,078,900,469,154,031,918,093,088,566,537,653,
385,752,845,673,354,942,337,919,039,970,888,112,920,212,859,535,293,661,916,
254,019,750,080,494,970,790,805,835,964,325,242,762,143,836,979,113,074,831,
805,519,275,419,277,304,910,423,513,383,996,863,848,948,125,366,095,958,970,
102,582,329,270,724,876,722,954,266,142,128,804,845,069,261,573,256,930,860,
953,190,224,650,621,179,505,980,166,833,779,234,776,579,588,429,042,211,197,
745,471,072,696,769,849,169,911,517,811,346,471,217,581,018,906,718,040,150,
809,623,709,929,540,973,308,628,254,929,770,437,924,059,728,104,949,767,898,
715,549,755,273,889,049,748,571,890,152,028,954,057,574,017,350,284,553,609,
190,869,085,786,377,011,410,665,774,553,461,974,445,949,414,022,961,753,678,
488,756,253,351,158,448,176,563,567,081,839,172,539,233,123,109,310,600,589,
644,767,222,810,386,596,917,815,874,733,108,907,930,562,490,762,289,531,109,
325,625,618,885,347,685,002,014,970,952,986,614,785,157,793,448,973,334,392,
336,123,798,399,058,681,002,368,271,998,742,350,781,056,907,676,773,854,701,
127,615,953,754,155,825,956,066,729,663,920,805,927,003,823,839,804,960,229,
107,892,327,593,312,837,038,672,804,410,059,279,855,900,024,958,093,637,569,
937,588,321,398,786,721,360,805,738,224,378,194,780,898,403,423,632,734,953,
184,780,541,078,775,395,872,797,565,574,694,991,480,882,059,695,186,443,218,
694,649,843,366,079,725,180,292,372,859,801,027,051,813,157,523,248,540,202,
167,846,531,106,220,658,218,513,054,816,558,674,997,956,696,415,838,305,597,
260,880,310,203,754,760,340,451,114,199,886,429,332,775,146,960,721,418,326,
390,328,575,264,101,692,568,784,476,065,204,479,312,386,562,211,509,156,435,
404,167,417,451,627,243,730,879,650,295,685,908,413,339,423,841,059,233,285,
973,354,628,684,502,950,955,241,576,626,194,198,492,326,620,913,514,562,638,
774,132,014,720,296,598,027,447,899,398,141,908,560,073,608,974,113,250,098,
757,514,131,078,996,690,906,552,578,578,618,899,576,106,037,051,843,249,219,
283,897,915,581,424,201,253,659,949,797,391,235,953,072,692,424,755,574,281,
452,526,710,305,449,756,564,505,711,026,994,794,252,882,331,977,081,738,133,
453,349,401,097,414,884,015,284,781,492,120,282,810,147,995,555,260,705,167,
117,025,633,480,315,799,038,312,862,312,554,267,145,301,756,703,884,762,980,
975,549,262,505,456,725,363,617,607,679,607,476,334,079,433,842,600,846,979,
023,683,333,955,091,841,791,279,964,055,228,519,932,901,238,250,055,739,238,
072,470,968,866,692,161,464,377,544,441,860,333,527,544,200,400,051,430,079,
700,066,148,871,488,360,152,403,028,795,662,670,906,389,026,707,752,488,576,
304,843,843,395,824,821,940,952,256,752,064,612,523,805,833,145,944,431,503,
581,347,758,889,452,614,220,111,277,451,942,158,469,682,604,519,813,731,979,
747,713,449,986,240,837,156,336,751,560,442,302,362,363,109,525,333,799,331,
561,647,392,163,536,359,254,877,672,802,635,215,777,955,474,384,610,378,275,
090,282,778,056,243,930,094,087,619,907,715,052,243,374,661,338,731,046,498,
916,879,139,957,696,891,791,432,460,641,391,811,102,218,502,145,522,112,320,
791,299,344,031,532,565,368,787,534,913,906,784,029,541,137,713,012,545,535,
029,628,018,724,115,277,502,158,082,637,114,060,652,915,441,512,108,055,429,
933,339,947,704,155,244,569,228,721,721,754,532,324,553,994,164,899,903,303,
142,832,170,993,256,623,948,980,715,913,343,740,450,865,789,083,533,694,364,
118,605,222,314,541,982,840,615,282,158,196,028,640,333,153,708,501,282,750,
869,716,965,077,696,859,979,482,999,929,164,094,376,057,947,190,268,567,041,
577,804,131,415,787,535,784,724,394,965,057,144,715,866,074,659,162,579,034,
577,127,803,808,909,978,428,405,141,951,127,588,403,797,701,045,088,705,879,
778,727,139,101,829,905,218,272,034,057,052,078,754,448,861,276,663,180,677,
698,397,028,175,191,914,861,159,117,079,141,862,722,846,214,237,030,618,054,
357,814,268,450,517,902,608,412,997,031,039,949,030,625,986,458,369,491,984,
453,820,403,599,082,027,605,803,313,304,387,388,404,389,588,532,594,019,890,
254,687,089,553,906,003,633,963,200,335,042,059,567,780,873,856,875,249,786,
198,076,876,748,408,659,032,416,360,328,385,832,275,524,565,451,821,277,777,
329,065,822,269,259,223,808,150,158,716,491,685,490,695,658,750,818,914,867,
095,373,024,871,514,794,896,702,501,531,910,618,924,069,936,616,584,452,104,
886,901,040,634,983,528,994,508,711,930,126,329,477,334,296,866,365,766,170,
477,368,072,944,222,998,118,437,223,989,358,983,116,762,446,788,502,774,454,
310,417,976,497,023,430,723,408,376,948,499,402,185,387,057,602,023,215,765,
775,457,448,884,682,112,542,392,779,084,106,110,269,769,574,882,686,932,792,
107,268,669,885,292,628,818,080,706,174,976,130,648,985,720,612,847,054,669,
155,886,086,835,087,822,963,129,284,865,068,710,476,614,522,879,381,455,444,
806,894,679,987,524,697,247,368,658,331,166,878,095,820,110,026,866,589,849,
839,576,737,219,910,766,076,644,013,568,819,441,541,905,093,836,381,113,985,
381,153,628,515,219,970,262,788,661,060,213,595,990,667,827,926,646,265,587,
613,120,631,868,996,462,224,011,417,054,540,047,707,944,077,609,075,467,984,
105,885,304,887,677,259,198,848,353,109,653,962,806,806,382,959,587,494,632,
709,886,448,320,165,072,752,058,143,223,526,641,689,491,894,789,265,689,420,
844,225,785,185,255,762,644,078,194,389,537,885,467,216,227,592,428,346,313,
591,044,136,519,066,348,093,681,382,059,921,910,443,071,408,325,835,875,054,
959,307,307,894,587,611,855,150,936,202,096,189,787,518,666,652,889,907,780,
925,150,843,084,192,277,747,217,653,032,391,914,620,128,719,933,889,726,001,
997,730,341,183,965,761,808,404,010,501,156,257,495,951,930,345,931,114,095,
115,355,507,328,945,724,954,093,415,573,541,048,837,805,193,635,033,364,029,
174,857,122,436,034,641,322,960,745,776,366,440,825,991,938,491,188,168,837,
010,706,203,066,383,257,160,183,767,004,778,911,952,244,873,465,951,193,969,
622,519,487,193,747,557,201,586,065,724,861,497,083,236,592,655,456,669,102,
122,147,299,018,960,645,577,229,680,860,800,977,375,499,886,550,574,934,403,
738,727,181,956,826,911,104,293,307,324,074,761,997,484,496,998,604,322,692,
427,079,843,801,315,784,817,424,400,776,725,419,646,122,859,417,337,617,520,
189,616,156,285,186,202,829,302,330,070,122,739,194,477,623,553,670,517,689,
836,376,051,090,560,892,260,477,498,736,488,551,581,020,773,388,937,085,050,
023,734,667,584,154,435,868,596,685,470,014,138,024,731,451,763,266,617,752,
680,182,789,890,859,438,546,862,540,639,012,567,821,521,742,846,704,269,855,
759,776,934,384,774,104,852,220,000,643,873,006,026,266,538,088,004,562,913,
771,835,639,360,163,489,036,160,957,591,319,109,869,685,094,058,419,091,335,
702,685,552,248,330,316,224,815,278,800,878,784,602,772,465,252,601,976,174,
813,228,496,068,757,108,394,812,477,930,709,378,700,915,346,069,909,646,391,
924,321,711,137,846,977,154,635,438,747,843,513,589,660,800,120,383,844,841,
333,344,627,232,598,870,060,580,472,955,919,452,240,162,183,379,040,607,870,
926,560,900,333,717,737,632,936,705,353,861,958,595,104,462,367,561,291,297,
318,010,880,005,095,191,872,745,699,801,138,407,255,171,753,601,971,270,750,
817,934,977,154,128,640,037,504,259,035,160,281,202,303,713,384,375,138,119,
884,065,022,877,494,429,830,312,990,852,718,980,527,285,436,784,751,723,063,
815,501,868,412,718,132,665,260,233,353,566,609,899,398,760,793,975,417,724,
210,346,306,211,347,365,984,213,885,344,847,191,520,474,480,260,173,493,170,
212,310,721,212,713,432,163,445,560,325,383,028,160,915,615,649,652,129,864,
778,146,948,345,628,106,870,432,794,728,069,267,894,748,205,119,365,458,664,
614,563,575,655,073,855,177,144,478,752,732,140,334,935,546,819,282,894,804,
173,838,947,281,711,448,975,777,444,631,747,314,588,276,588,060,704,417,511,
939,803,667,458,962,391,731,003,362,907,205,726,815,649,570,958,047,479,421,
558,613,614,449,485,999,506,124,616,247,658,242,511,652,801,267,628,513,578,
295,846,469,396,480,529,869,743,815,278,326,058,297,255,300,398,353,378,515,
880,917,448,731,769,099,093,171,881,897,456,697,536,297,662,250,190,991,556,
540,352,907,790,088,375,764,679,327,828,060,729,985,978,859,323,076,213,664,
996,824,699,710,031,048,765,233,051,669,064,478,164,656,580,043,350,094,158,
329,648,568,325,378,983,479,865,963,310,917,053,788,154,060,106,846,453,423,
505,424,933,675,652,162,806,372,776,847,060,570,305,301,579,893,505,604,946,
565,319,868,707,152,681,334,911,689,653,194,317,816,564,565,835,624,178,523,
874,769,725,887,128,512,273,986,351,952,376,670,098,341,103,620,359,392,794,
030,926,142,103,647,148,632,863,467,948,540,376,357,342,061,423,126,045,136,
232,038,156,875,479,835,045,258,672,899,859,697,883,911,795,966,219,674,401,
818,854,445,674,807,846,983,675,871,087,901,948,776,205,011,146,130,383,882,
937,528,926,366,850,481,272,812,845,032,105,174,528,634,662,872,868,999,309,
558,075,598,490,248,581,184,688,068,216,995,242,634,543,451,049,178,021,104,
052,616,303,378,996,017,496,413,396,117,566,321,964,421,750,773,096,938,763,
424,284,811,285,794,099,029,464,512,111,816,883,528,356,290,175,646,879,887,
948,229,728,524,610,548,287,306,845,510,338,367,383,075,913,345,664,369,342,
752,142,355,166,092,886,571,301,189,183,599,813,082,191,243,220,128,507,329,
045,826,876,262,600,706,750,904,161,593,970,353,328,439,305,477,807,865,805,
504,357,196,151,378,140,135,807,852,056,262,198,950,942,088,590,116,574,100,
324,777,894,898,297,514,129,608,865,782,147,921,392,764,115,927,315,124,277,
808,685,007,303,880,621,240,209,296,088,009,708,113,682,898,399,261,221,609,
842,157,064,836,875,982,849,334,229,091,479,958,933,279,480,688,514,581,088,
104,088,110,473,224,460,182,553,354,236,287,322,315,470,126,163,428,658,563,
155,755,793,282,595,099,149,720,645,959,701,957,113,763,471,252,417,073,674,
005,345,590,591,638,101,261,844,499,877,399,174,260,761,851,006,157,429,030,
556,326,657,783,608,984,978,607,137,666,260,112,806,439,101,216,931,457,981,
121,434,765,279,408,069,555,433,532,079,119,664,730,328,254,237,155,599,134,
484,113,485,364,951,774,576,377,975,634,313,755,563,657,445,100,251,963,872,
351,819,348,765,697,350,416,184,731,281,848,681,328,757,006,423,210,560,899,
330,174,643,675,570,820,396,621,952,271,286,290,243,025,748,547,869,943,482,
489,597,799,393,113,498,074,373,743,006,828,506,489,302,550,204,730,107,949,
341,945,399,009,649,987,091,986,724,140,426,028,443,545,608,149,473,864,682,
561,318,579,113,027,415,993,795,352,838,594,197,542,931,833,189,936,728,552,
958,017,951,709,405,516,051,480,851,396,172,410,488,751,380,905,334,752,552,
358,584,459,560,783,282,233,234,652,522,278,838,426,791,908,757,407,821,822,
651,446,687,302,233,135,839,748,486,921,563,680,402,952,370,754,446,367,043,
449,429,472,732,645,951,061,307,661,841,662,113,117,094,281,151,719,125,658,
342,417,884,177,447,613,872,571,838,974,405,927,251,637,676,553,854,984,443,
529,095,343,381,007,021,617,778,178,453,685,654,359,444,360,415,197,440,129,
393,626,384,548,121,788,555,292,870,764,048,067,873,481,983,933,020,311,001,
747,654,812,193,016,130,677,868,163,742,328,598,907,926,598,535,149,502,591,
373,473,371,650,753,215,172,433,291,724,877,402,593,268,427,637,679,822,898,
653,720,814,715,190,198,613,071,875,864,545,738,505,296,502,974,248,768,896,
105,195,224,496,769,710,947,813,309,037,418,128,777,705,412,834,813,302,502,
512,059,754,459,359,368,869,050,779,501,361,121,630,006,055,979,562,175,721,
733,238,267,070,954,549,530,100,057,700,075,599,779,566,904,792,456,704,343,
231,387,176,169,403,871,914,872,164,053,875,202,417,671,078,038,430,948,551,
933,807,554,639,270,992,085,592,679,157,461,279,389,156,723,351,827,739,132,
951,840,667,614,002,453,515,809,847,162,430,641,796,349,177,217,835,063,955,
277,445,906,463,216,340,665,345,826,794,853,989,652,458,480,513,304,718,834,
938,464,386,906,776,391,717,235,986,465,745,974,976,029,495,568,570,298,430,
993,368,787,122,268,811,561,206,396,055,442,122,258,480,882,900,161,216,664,
261,161,414,704,887,756,381,662,237,504,959,115,409,809,518,699,961,508,259,
233,598,599,291,111,750,029,864,425,528,448,573,373,278,814,929,839,041,269,
179,989,312,054,829,693,438,419,732,821,441,493,601,939,068,592,620,504,012,
637,251,640,836,289,185,169,815,162,972,692,244,039,244,629,973,813,345,096,
028,442,911,560,789,550,540,936,024,688,389,523,014,055,957,426,322,410,698,
663,813,273,665,066,050,029,139,135,911,524,063,276,210,635,394,423,829,588,
239,532,929,994,811,279,264,826,010,957,179,307,474,380,126,299,523,235,825,
077,786,222,753,833,395,617,881,989,501,670,612,125,687,373,500,525,100,174,
715,171,489,510,549,298,986,682,579,696,592,256,265,623,877,072,082,501,597,
752,695,665,719,889,584,967,917,324,889,173,672,882,987,230,679,923,932,987,
422,967,829,209,996,734,875,720,708,519,044,507,000,656,358,640,159,718,382,
033,454,650,457,088,237,698,025,641,748,279,259,960,783,692,939,648,729,353,
886,126,808,724,681,523,422,889,813,712,440,989,749,036,183,476,219,590,415,
693,250,640,665,328,359,306,675,334,308,948,917,830,173,095,362,331,561,688,
706,370,337,625,003,489,998,057,261,307,838,379,593,742,213,006,036,273,320,
947,572,831,806,727,780,960,600,461,677,517,081,540,771,695,613,927,927,492,
061,565,466,095,417,900,422,080,755,003,027,141,958,358,366,756,536,474,527,
509,235,848,710,664,031,577,158,831,874,443,585,004,299,902,842,265,687,175,
824,572,746,357,639,272,356,858,769,580,399,654,643,771,598,487,791,751,559,
163,380,296,095,944,590,877,927,062,461,345,663,950,708,568,999,129,590,723,
104,852,046,096,058,822,420,542,133,720,887,039,002,826,226,814,467,922,271,
975,606,351,214,362,549,295,784,906,541,874,946,260,017,724,943,757,540,800,
268,160,933,035,671,621,333,342,087,402,703,759,505,879,595,396,708,904,894,
739,534,004,591,152,744,010,232,306,756,533,268,432,734,451,141,992,011,085,
837,073,866,239,137,497,959,831,888,866,961,020,885,249,872,861,390,629,832,
003,391,718,968,941,214,500,970,242,397,906,966,169,137,137,275,567,542,104,
155,690,590,098,863,959,085,785,725,154,340,471,804,114,999,438,953,452,935,
186,225,948,123,229,127,308,618,150,265,259,929,306,602,986,958,142,998,009,
925,337,766,663,160,879,799,359,389,587,634,673,049,606,169,321,185,957,166,
005,892,037,416,497,031,061,347,017,082,322,288,161,167,384,125,639,902,262,
473,696,453,375,968,228,138,612,628,421,691,678,738,592,786,596,258,080,062,
105,910,120,429,659,046,008,957,626,567,900,167,920,928,908,181,932,714,428,
543,459,401,446,174,749,712,469,411,556,805,048,927,212,364,021,155,541,917,
199,782,720,868,437,074,036,737,772,151,722,734,768,482,313,374,887,649,430,
626,861,111,039,961,432,786,340,757,258,978,787,070,983,014,827,330,640,396,
225,301,292,577,235,193,028,834,749,397,628,147,679,482,001,934,712,327,312,
453,545,798,627,556,114,212,601,570,077,112,282,534,154,216,194,453,949,537,
325,531,341,468,417,580,682,777,169,923,881,667,165,599,397,044,416,951,470,
752,644,671,719,506,056,050,206,601,951,321,394,701,509,238,562,557,084,037,
435,670,852,677,178,468,925,787,136,567,212,547,811,949,354,479,578,444,999,
861,231,104,751,668,872,534,048,522,928,181,412,761,003,623,274,485,560,018,
201,973,772,177,459,679,968,837,466,355,887,294,257,068,619,089,577,207,231,
195,808,406,392,752,029,184,195,662,533,601,392,746,546,133,769,832,514,897,
683,804,485,091,308,122,734,216,072,381,809,349,777,574,570,786,169,768,743,
929,753,711,276,199,679,110,891,979,704,297,445,954,304,714,770,643,651,178,
562,368,126,582,559,798,579,854,302,077,438,320,529,325,591,386,609,285,152,
465,258,720,114,563,754,625,660,390,382,722,700,076,185,222,518,256,604,585,
089,996,534,996,930,009,096,576,131,423,644,332,968,521,232,841,146,241,099,
095,766,464,711,268,883,066,489,632,605,525,861,794,582,262,810,505,247,728,
977,633,413,519,785,586,450,088,294,588,544,371,888,835,720,862,539,405,941,
922,186,470,062,440,878,113,030,743,889,901,430,254,257,106,686,815,459,193,
515,395,961,758,451,003,319,161,406,889,914,777,693,965,748,518,014,356,383,
102,671,536,327,404,243,580,663,820,957,030,214,267,920,982,886,762,454,226,
134,689,516,134,154,526,718,239,549,164,657,872,049,727,486,879,789,428,702,
017,625,766,393,359,867,807,462,220,477,535,094,257,647,239,488,881,050,678,
584,717,519,190,282,447,693,045,466,405,020,017,958,815,764,793,904,153,188,
875,880,516,656,678,634,376,373,737,573,928,382,767,180,810,651,142,588,548,
500,108,660,036,263,356,296,784,515,344,921,391,884,107,490,861,009,306,125,
198,638,140,101,377,467,848,109,289,840,409,600,459,517,445,333,014,205,888,
567,290,575,342,428,898,959,995,580,983,794,262,365,905,067,423,463,354,778,
381,305,032,325,908,659,127,233,528,689,533,782,744,703,916,052,123,092,831,
000,698,061,316,171,102,927,900,945,019,327,081,048,505,039,819,882,100,193,
274,834,804,174,046,782,320,155,307,941,232,653,581,264,429,866,300,774,126,
989,872,134,381,793,909,709,992,070,889,328,502,008,302,736,798,185,820,564,
090,435,854,719,889,410,650,523,309,065,152,345,638,644,540,250,233,427,997,
240,320,505,933,014,277,229,741,490,239,081,254,210,467,354,771,231,305,794,
505,959,978,774,606,400,215,161,238,469,384,569,826,720,685,975,339,594,607,
337,622,534,080,904,445,662,386,833,780,166,559,128,601,608,930,065,882,585,
950,592,906,038,923,810,030,863,983,910,656,799,073,330,900,153,615,165,177,
273,158,315,157,024,499,141,707,264,537,771,428,729,616,251,051,954,132,380,
892,426,991,125,701,895,376,187,752,401,632,319,849,199,917,557,453,037,114,
744,209,276,134,321,969,094,175,973,443,113,430,325,110,751,287,631,618,781,
006,681,147,906,073,286,564,641,967,200,233,871,794,881,434,429,652,153,114,
980,420,519,438,891,671,730,123,910,331,542,750,448,004,170,150,924,398,593,
014,708,557,782,244,041,725,913,169,303,219,622,055,545,556,251,534,083,889,
889,854,628,627,410,714,277,040,605,788,614,997,907,182,388,052,122,159,403,
672,214,494,473,678,205,508,105,731,956,000,723,500,140,826,610,063,813,075,
115,732,649,998,375,074,991,759,063,332,704,716,668,257,833,818,424,901,195,
666,676,758,720,883,376,896,410,053,154,042,901,864,399,499,482,977,706,010,
933,744,308,173,952,119,440,715,269,786,155,892,835,503,851,317,857,261,761,
242,588,049,904,313,544,145,980,191,847,762,540,705,878,571,004,112,544,636,
414,787,559,610,708,388,599,171,974,284,249,704,814,725,298,007,514,336,656,
244,687,360,429,416,091,716,804,665,362,765,623,769,654,230,195,248,307,438,
895,362,828,306,689,112,323,140,781,936,825,186,388,195,870,232,273,377,683,
943,351,869,849,040,005,092,574,391,148,324,336,207,340,814,971,011,317,917,
152,520,632,674,014,137,899,347,832,517,485,136,151,992,805,991,315,482,467,
106,998,111,431,007,858,109,075,302,101,205,096,621,420,217,187,964,241,370,
115,159,783,672,573,234,793,892,799,759,660,782,014,027,299,837,585,993,849,
286,401,533,689,204,942,367,485,531,685,759,542,988,914,249,469,102,245,589,
714,798,202,971,384,790,100,160,741,198,042,720,984,261,074,047,791,529,398,
531,654,134,316,335,051,625,414,516,629,066,334,259,508,105,274,577,735,512,
240,303,080,070,065,165,431,056,600,462,407,351,992,306,030,419,672,695,927,
590,054,056,603,553,848,656,543,688,770,528,504,079,446,016,924,348,160,280,
749,176,767,710,102,931,446,115,050,112,941,082,666,403,696,816,759,218,255,
998,882,217,975,649,809,955,278,669,261,959,822,775,184,572,911,665,348,484,
944,674,813,324,422,363,833,219,867,709,688,111,072,548,551,721,698,460,629,
965,046,989,820,943,336,038,520,528,484,942,836,223,465,603,664,762,766,356,
849,745,019,554,119,374,194,661,861,053,660,934,644,016,473,996,887,613,691,
692,184,254,319,198,025,444,594,532,719,107,785,131,840,903,370,695,061,990,
246,748,909,123,080,999,023,319,877,875,358,034,749,228,970,606,209,043,306,
206,448,612,671,340,678,264,371,253,992,057,847,473,220,137,188,895,413,741,
787,794,930,384,644,754,211,774,870,093,356,116,921,773,092,249,876,252,124,
180,830,705,613,059,505,909,841,356,062,863,254,186,889,115,407,130,011,069,
953,626,071,752,507,733,553,351,075,562,936,764,708,891,846,159,555,104,337,
180,899,535,528,917,289,201,526,032,146,856,470,589,290,402,214,943,237,074,
861,037,716,783,113,062,940,275,284,511,425,520,222,630,971,533,537,844,391,
975,664,488,166,549,208,293,933,541,907,647,976,776,806,469,109,489,304,092,
835,986,272,134,741,222,641,234,786,613,972,880,514,495,861,253,250,594,265,
388,471,068,292,405,002,394,003,567,418,460,032,789,783,068,363,217,679,187,
150,738,927,139,371,159,297,348,970,204,621,221,290,611,115,986,709,165,347,
049,278,753,161,880,825,324,232,122,226,796,522,158,047,631,968,577,642,724,
062,216,708,407,893,336,739,047,382,149,967,573,282,665,258,358,367,786,308,
086,551,777,299,227,558,572,620,192,851,784,504,959,963,191,151,355,987,431,
763,740,998,421,062,198,518,843,482,320,428,539,031,097,168,899,793,196,349,
555,907,457,839,090,217,817,832,498,406,912,158,556,263,915,977,356,464,160,
954,575,112,193,592,392,576,478,301,851,660,087,864,446,256,414,693,873,749,
891,904,826,591,746,527,416,809,471,750,652,294,702,470,088,717,305,037,618,
884,122,284,251,028,351,189,641,958,019,412,267,616,771,419,430,337,624,422,
857,053,359,308,009,220,869,618,879,279,271,704,086,347,351,574,736,819,763,
534,786,547,953,190,302,041,931,372,699,932,562,825,113,664,852,186,839,614,
198,022,881,176,081,877,910,707,620,173,527,663,077,551,052,932,728,452,654,
007,977,262,241,307,696,320,098,385,758,066,287,638,320,480,680,578,761,947,
499,454,891,131,401,050,532,865,706,963,010,028,219,763,079,164,217,487,134,
222,115,642,609,149,917,798,844,682,312,316,287,259,086,310,422,399,676,269,
127,933,987,706,634,846,206,216,611,341,066,953,147,509,442,049,445,062,063,
515,181,717,896,028,873,887,049,913,172,262,831,146,918,155,485,739,248,068,
266,683,786,353,366,019,829,793,034,659,779,214,074,564,195,373,683,139,213,
408,359,499,482,743,578,228,148,564,306,916,917,824,863,383,373,996,256,400,
238,611,898,716,017,157,658,473,113,615,573,415,240,324,503,733,445,319,510,
229,301,670,499,341,606,615,558,730,419,713,707,687,641,524,902,963,122,740,
739,812,776,552,853,740,917,704,951,222,691,454,170,034,532,715,829,199,716,
564,588,156,714,260,818,423,753,938,571,100,185,149,412,782,514,138,332,893,
101,130,855,939,291,270,143,875,825,122,336,596,092,482,213,218,484,669,187,
610,256,839,611,028,903,928,262,940,781,837,789,746,921,235,344,767,802,018,
286,227,676,101,697,416,322,476,811,034,083,762,778,368,635,864,598,316,852,
418,207,740,356,522,044,783,992,290,514,525,796,683,560,264,927,844,761,204,
366,733,739,656,635,764,240,125,946,951,785,594,594,557,109,545,022,894,740,
434,377,051,021,033,462,120,391,362,172,484,330,244,147,515,978,616,993,914,
696,094,023,011,486,402,883,829,383,686,271,754,243,066,335,927,407,714,923,
507,728,231,108,982,087,741,055,853,941,676,160,214,805,361,995,140,429,949,
700,526,799,595,074,935,065,378,692,335,425,836,551,898,852,057,869,013,041,
168,023,610,057,333,932,647,018,930,200,491,871,972,917,663,553,891,064,597,
247,167,527,450,102,914,916,858,214,656,467,455,267,642,186,701,539,979,184,
140,450,243,183,215,289,867,453,257,187,408,212,785,184,515,519,971,590,817,
791,423,498,097,498,043,143,299,757,822,224,802,721,884,821,935,757,326,562,
183,719,113,840,650,002,648,181,287,128,779,187,433,281,016,374,559,381,567,
160,531,524,770,595,945,498,608,332,409,401,559,479,812,028,431,766,976,959,
627,069,328,367,030,995,396,926,119,066,791,343,559,693,239,783,710,308,391,
034,554,135,443,475,287,982,606,153,948,770,291,489,817,554,110,691,299,574,
763,865,181,531,993,244,513,953,110,942,012,522,852,358,345,581,093,956,710,
520,569,019,204,270,234,845,706,038,002,242,183,608,061,741,622,116,745,897,
814,638,181,929,342,943,197,384,110,845,998,655,145,771,008,647,451,208,501,
095,679,944,846,822,894,140,507,780,267,778,057,452,043,123,373,566,788,265,
815,585,312,627,527,543,473,405,059,845,020,901,493,729,024,007,687,092,353,
015,252,240,529,399,012,889,126,635,747,978,788,029,437,621,857,844,528,663,
406,040,802,935,180,171,392,780,415,681,851,221,070,971,201,344,751,258,020,
876,187,693,008,178,199,831,417,649,622,994,369,856,165,272,507,263,207,512,
999,163,509,440,663,412,441,755,261,925,229,879,422,509,968,286,907,320,425,
495,225,798,341,507,591,228,015,980,474,122,820,981,967,631,548,822,824,918,
015,941,983,290,924,712,558,239,102,903,836,493,548,925,528,382,654,742,705,
920,466,441,876,869,284,256,694,232,058,834,619,748,036,977,734,833,649,507,
427,716,853,462,477,259,260,415,331,847,256,835,913,882,243,970,373,854,621,
892,908,770,518,733,458,860,680,004,662,074,783,728,506,253,437,492,668,931,
760,048,994,023,191,851,029,786,509,791,981,168,975,903,570,679,979,470,494,
199,904,245,855,691,783,887,788,037,017,271,739,988,226,289,981,313,893,609,
869,793,946,001,555,121,148,540,993,414,134,216,099,403,797,185,608,124,870,
443,096,227,143,361,599,316,026,689,586,331,566,793,515,866,356,367,416,231,
017,063,555,378,617,850,957,374,680,080,468,972,564,022,813,894,955,092,941,
992,426,296,516,050,609,638,149,719,247,257,589,292,543,111,047,560,094,225,
663,474,081,135,771,096,983,948,334,444,854,220,631,909,524,587,549,898,342,
206,697,811,046,722,761,886,044,474,653,562,757,053,819,944,799,151,547,923,
554,412,607,436,718,593,300,639,111,912,756,533,705,732,896,542,891,400,483,
487,216,353,252,648,631,875,817,764,100,632,858,591,040,170,245,270,043,790,
857,194,562,447,092,904,240,973,497,878,922,729,747,682,979,086,391,706,502,
499,191,390,929,833,076,057,275,080,404,358,317,218,553,253,428,549,026,639,
296,929,140,216,262,756,383,124,428,680,994,131,293,363,098,762,889,493,388,
489,687,628,779,605,174,540,499,440,659,125,650,705,808,585,691,841,050,397,
629,114,595,151,639,217,937,343,133,725,454,093,658,946,803,289,192,108,266,
443,133,135,235,779,538,197,742,890,551,062,458,259,455,978,953,806,082,911,
730,606,795,312,223,066,202,522,851,521,352,357,466,085,979,538,335,518,436,
358,031,886,190,151,965,088,842,457,687,381,269,433,945,712,219,675,653,562,
841,260,532,777,311,426,368,226,868,947,373,766,095,370,921,258,113,596,732,
617,160,251,467,238,911,813,023,335,949,957,089,280,773,085,962,839,766,332,
745,636,342,198,322,574,918,424,172,982,253,605,317,843,562,330,093,404,170,
878,713,304,931,169,494,281,659,237,285,771,502,137,450,579,526,112,815,310,
876,756,795,537,032,366,828,851,401,768,553,872,837,319,214,364,350,831,588,
136,469,592,465,145,715,428,471,493,203,211,999,499,059,629,080,295,812,295,
161,145,200,934,049,542,652,161,713,712,057,183,424,865,260,378,938,769,949,
337,034,106,883,931,218,403,942,604,425,184,025,632,590,055,353,012,799,110,
327,549,213,384,073,928,108,022,389,229,782,210,744,519,424,435,460,739,276,
829,772,344,058,549,116,033,909,513,024,665,506,704,610,044,686,823,078,098,
724,241,444,515,983,272,203,797,406,883,192,954,807,123,383,902,272,544,338,
479,322,920,916,237,548,580,462,346,329,983,710,443,378,639,915,572,979,904,
964,531,899,348,710,831,094,438,712,818,405,161,129,547,829,766,840,983,631,
957,816,780,929,671,067,041,091,995,042,244,731,902,409,418,787,928,065,293,
666,958,018,474,568,060,632,723,511,482,377,907,844,061,615,192,436,553,228,
459,788,708,696,576,165,095,304,835,033,042,561,015,564,330,546,871,297,364,
002,370,134,051,306,353,168,499,542,503,499,314,525,685,435,577,309,948,218,
430,275,550,401,749,995,171,801,749,825,708,867,145,099,997,665,480,454,193,
278,050,127,388,170,719,179,307,049,945,379,819,286,031,603,567,575,574,329,
080,544,370,120,219,383,693,713,545,939,540,147,127,265,398,115,369,299,943,
945,904,340,525,897,265,441,801,830,784,476,479,145,857,720,402,999,348,101,
411,137,087,305,083,122,890,703,628,234,873,938,511,265,100,230,548,421,252,
953,262,732,771,754,580,139,811,269,992,458,780,463,305,481,551,776,099,224,
130,658,493,484,169,118,819,968,685,109,876,693,980,676,664,999,954,076,478,
528,948,926,318,191,325,579,675,414,138,462,380,564,843,110,378,505,473,366,
574,311,745,779,955,420,096,435,708,755,751,803,083,456,889,469,222,082,002,
619,070,642,996,976,755,131,089,787,523,350,878,553,604,323,913,647,089,944,
323,039,505,728,669,549,855,394,844,389,367,258,305,222,824,031,056,286,768,
153,612,339,942,341,547,026,234,611,640,971,301,203,269,095,764,648,614,914,
914,798,221,355,208,193,996,496,033,651,367,838,973,261,705,690,849,834,362,
168,439,350,383,649,692,239,766,306,296,100,571,821,764,625,935,129,398,558,
822,783,294,739,631,420,735,455,547,643,991,039,289,610,997,538,134,923,481,
160,174,788,326,288,810,661,501,413,128,882,255,456,101,548,812,520,052,280,
743,784,560,185,899,961,150,623,547,157,021,830,415,524,395,170,471,722,337,
924,168,434,559,056,003,161,554,420,295,358,725,362,506,952,263,458,326,841,
394,068,057,820,094,716,919,991,010,968,290,264,095,997,095,745,208,034,588,
988,589,171,601,940,940,452,829,868,395,594,943,368,255,231,649,018,543,843,
607,525,731,837,113,627,939,354,371,580,069,138,768,544,514,494,029,052,154,
711,929,312,667,783,670,167,279,705,080,266,626,420,573,941,083,660,239,481,
850,270,420,460,191,834,729,417,284,104,335,372,256,748,285,622,512,066,804,
733,187,015,743,789,002,968,043,467,787,992,698,606,225,592,484,698,545,956,
280,566,596,103,514,698,764,746,124,022,804,303,859,811,586,863,567,436,666,
175,313,164,640,018,175,339,806,808,028,334,863,422,755,144,637,520,190,728,
694,902,284,815,524,174,751,125,121,150,926,870,593,302,270,182,424,504,239,
703,031,000,131,415,599,908,148,330,117,278,305,550,559,996,754,061,302,291,
128,899,771,249,381,735,640,543,596,386,137,287,773,906,096,647,923,085,956,
124,805,267,961,473,112,077,952,935,609,482,588,143,816,038,156,481,313,410,
159,182,746,334,751,429,822,647,106,945,244,434,227,404,580,930,357,884,253,
067,364,854,320,775,735,094,179,449,947,503,224,322,232,739,046,954,022,932,
475,155,994,581,266,002,395,544,703,865,842,366,108,632,412,587,052,458,667,
099,316,989,354,010,924,328,970,423,244,654,391,701,451,792,419,954,952,160,
772,364,962,049,076,865,562,953,738,526,676,673,466,679,539,781,596,518,775,
342,771,591,913,604,656,575,757,241,112,747,064,531,589,825,522,749,391,085,
761,594,668,198,633,235,048,963,841,755,884,020,538,253,000,549,294,224,564,
550,203,939,074,144,301,543,032,529,665,195,373,354,657,678,371,325,619,113,
512,362,265,964,541,771,559,049,746,772,950,746,847,457,973,081,162,462,258,
199,033,974,653,905,719,131,004,393,941,552,732,022,529,166,503,581,067,687,
201,789,506,847,572,519,983,733,029,381,266,098,331,219,823,416,908,989,857,
674,079,704,941,240,680,194,556,139,922,740,386,771,701,474,415,549,220,639,
217,935,922,928,657,631,734,940,309,456,882,706,475,303,088,443,071,479,466,
093,505,659,748,238,430,185,512,391,737,586,311,817,013,449,193,178,750,713,
851,642,706,579,155,079,008,038,820,871,945,800,202,803,803,726,974,529,623,
821,572,268,309,444,702,815,203,611,576,906,298,330,667,280,201,086,902,085,
381,652,863,166,170,009,182,305,518,395,888,296,358,104,587,090,013,355,548,
106,522,165,307,971,957,748,240,835,043,274,067,054,348,203,082,284,539,772,
797,530,904,210,666,505,536,717,810,456,826,648,509,277,393,647,507,996,439,
023,028,153,733,192,446,290,275,902,247,964,407,500,362,996,751,152,384,206,
935,601,431,269,387,782,594,128,301,237,731,613,296,871,658,359,073,915,501,
645,080,333,639,415,388,195,760,893,979,569,370,320,453,121,753,262,619,554,
965,055,181,775,178,127,853,835,275,242,543,541,547,713,611,995,288,795,090,
146,064,146,019,506,220,445,441,648,557,508,981,994,964,126,533,243,948,559,
708,368,606,076,281,270,322,863,048,223,792,787,540,882,567,744,063,880,667,
442,734,499,352,422,186,578,216,421,491,507,215,782,383,331,021,985,593,504,
820,127,385,656,508,728,423,920,901,980,979,961,842,648,986,690,909,685,911,
575,388,529,207,064,533,673,598,566,205,413,985,924,323,091,697,709,214,406,
072,807,875,300,288,179,533,499,157,629,886,651,427,152,533,583,667,720,897,
695,942,256,230,959,341,582,280,050,287,529,418,896,470,632,930,094,542,807,
935,656,162,293,171,097,566,498,751,593,238,662,397,117,746,455,449,013,362,
835,396,978,482,547,267,070,742,876,636,219,596,628,349,776,113,330,295,502,
402,911,598,987,806,282,707,410,803,606,443,872,936,358,845,533,260,345,601,
373,841,378,985,344,179,576,122,161,291,547,726,136,207,487,260,832,752,760,
357,852,257,916,133,198,854,894,119,494,086,504,546,125,262,419,499,259,667,
435,881,305,278,590,617,524,243,348,820,253,772,213,278,942,503,357,306,456,
677,689,704,757,821,748,305,457,735,092,526,179,533,540,638,599,036,118,227,
738,435,637,646,532,097,085,355,307,589,217,905,983,264,222,805,962,215,834,
241,115,322,403,973,663,878,188,876,588,036,584,179,271,800,207,184,042,702,
384,542,419,329,330,978,630,514,847,781,517,822,029,756,976,474,720,947,155,
715,316,409,864,427,565,905,722,358,921,774,458,324,167,407,349,739,822,625,
930,993,673,327,007,127,911,869,262,227,686,928,418,547,325,057,987,624,753,
651,833,541,655,207,607,481,378,575,899,166,560,879,615,033,511,831,578,950,
711,978,454,884,045,825,320,491,285,346,812,694,480,598,795,687,882,895,325,
760,660,032,641,467,339,641,403,371,032,940,626,209,522,329,854,479,689,932,
340,211,923,982,243,838,890,892,212,442,886,341,953,344,603,338,445,144,930,
947,388,114,189,026,770,710,941,656,938,651,020,652,285,686,017,539,568,949,
140,958,130,104,693,192,288,865,933,309,981,705,079,391,402,342,204,501,998,
903,122,476,279,736,584,226,969,464,030,489,512,604,900,997,534,645,024,098,
357,759,711,087,953,322,967,283,378,970,823,485,364,503,576,482,066,339,228,
445,946,951,706,892,431,508,866,920,848,543,184,064,135,389,785,386,252,741,
240,540,349,404,714,523,177,189,110,200,716,077,808,953,270,376,956,232,322,
839,044,345,886,543,331,164,406,641,495,020,748,426,335,557,253,393,814,819,
692,816,542,553,741,407,834,091,308,357,299,411,203,497,847,295,422,736,361,
123,235,553,422,435,239,176,169,553,055,136,829,293,396,743,615,892,774,900,
366,743,978,644,024,059,391,147,521,712,062,900,391,844,456,900,117,685,757,
873,819,358,116,897,090,253,577,166,266,816,089,409,888,379,021,745,964,137,
749,605,709,605,531,359,458,956,857,563,795,133,062,966,113,764,051,850,079,
221,411,253,490,081,491,939,644,656,065,331,917,095,364,648,661,361,151,895,
016,720,031,157,093,147,897,636,652,367,855,558,483,027,363,224,550,650,098,
930,171,035,846,254,099,387,923,804,134,893,017,546,634,316,435,645,041,311,
532,305,613,036,339,499,486,496,646,103,010,393,799,801,516,289,597,456,962,
066,741,285,900,137,278,668,496,080,410,124,835,614,731,189,384,359,721,167,
264,110,354,496,111,169,530,836,604,602,876,575,904,539,203,531,042,428,802,
748,081,950,873,692,304,670,727,456,027,487,083,558,992,192,982,927,351,297,
235,217,389,024,672,165,136,441,260,318,646,936,078,253,897,801,687,026,161,
784,883,859,849,060,811,388,404,217,134,687,325,214,833,832,124,901,878,187,
254,434,840,417,852,454,004,126,223,919,839,589,036,297,899,802,550,386,557,
485,307,089,139,414,849,526,477,771,848,122,339,769,015,097,301,428,472,141,
172,193,692,312,688,928,484,404,823,249,720,542,138,042,159,886,030,442,447,
216,747,625,703,837,592,319,551,845,288,664,265,659,810,179,729,916,319,858,
400,652,982,518,657,065,434,084,702,766,327,553,588,719,206,101,930,864,771,
741,516,944,708,992,482,319,608,728,571,997,248,612,894,635,495,063,061,589,
293,583,827,864,310,088,032,704,685,447,839,161,726,244,360,850,093,604,129,
161,255,758,140,500,058,851,685,019,853,871,683,083,324,411,818,093,344,192,
254,775,155,301,387,770,294,052,068,116,881,175,000,465,978,734,456,720,450,
237,046,622,701,577,666,041,511,703,709,024,949,975,709,832,657,792,840,474,
075,623,884,688,210,773,733,385,948,007,936,268,319,767,612,106,543,534,121,
055,548,294,740,846,056,277,522,257,848,291,771,608,496,863,411,496,111,275,
374,703,008,637,978,995,706,900,568,579,621,885,680,298,834,001,870,271,579,
379,753,234,780,493,508,982,875,410,822,820,506,043,776,780,602,622,348,771,
801,253,338,755,786,912,652,140,554,645,146,948,770,552,193,322,866,869,147,
336,511,187,365,179,883,286,858,299,345,518,305,929,630,001,637,273,168,472,
799,214,988,772,418,474,725,364,966,913,419,864,237,465,561,972,772,519,228,
356,820,779,144,366,910,034,909,089,660,292,469,379,837,993,074,380,680,817,
397,204,028,051,496,003,780,111,144,752,234,984,394,588,583,818,736,949,464,
080,495,283,812,284,176,697,907,910,169,156,832,427,371,219,239,042,557,057,
102,282,853,089,794,198,844,351,394,036,301,644,434,822,427,209,229,019,947,
564,138,309,867,569,476,716,314,248,733,189,144,158,965,578,450,565,278,872,
005,384,839,950,076,448,581,229,623,145,027,861,227,307,785,344,616,605,491,
535,864,989,520,635,264,314,656,452,181,807,685,788,352,962,465,613,121,095,
175,789,056,448,166,864,555,436,641,704,034,065,823,441,985,317,939,408,254,
525,652,021,219,299,680,465,465,968,803,189,705,290,549,984,379,669,963,851,
644,911,372,576,182,937,719,786,327,580,840,645,302,754,713,850,575,519,282,
800,738,261,914,501,058,399,060,047,607,592,237,563,738,201,052,122,017,225,
312,301,366,310,269,809,024,433,281,180,185,409,557,954,038,495,491,537,386,
597,050,941,634,609,140,062,488,637,330,271,098,607,851,531,278,010,945,442,
375,927,017,175,425,399,308,498,379,187,485,544,279,131,210,388,826,734,350,
232,949,792,343,072,853,175,824,575,798,651,091,873,335,687,327,911,582,881,
880,230,962,982,367,078,774,302,537,172,100,707,448,155,258,494,057,426,668,
112,581,564,841,047,698,773,752,118,324,442,304,524,524,112,703,855,936,259,
138,490,982,368,407,289,484,319,696,986,775,866,964,262,591,879,797,023,163,
310,643,708,209,145,739,904,288,990,498,677,649,196,200,621,833,237,458,853,
491,553,858,820,810,064,648,768,246,594,310,315,687,524,605,638,231,096,225,
187,084,436,137,358,378,217,655,558,581,135,663,964,097,894,585,475,044,408,
400,463,351,269,319,211,304,833,661,623,162,324,369,672,445,479,735,531,733,
389,812,071,629,654,874,714,456,658,802,888,245,441,012,726,381,227,431,558,
211,630,663,466,632,467,142,394,643,800,793,683,851,674,360,768,253,920,851,
566,136,270,514,180,106,042,426,634,849,269,612,420,582,621,519,898,413,373,
366,390,106,274,061,034,469,733,819,025,188,643,181,297,785,130,583,061,848,
989,787,132,307,935,883,314,399,146,333,303,157,949,870,984,237,796,627,110,
026,297,415,879,768,977,952,916,222,047,046,336,257,151,627,056,257,087,485,
141,225,221,444,247,203,759,181,836,766,060,575,074,387,277,756,889,364,620,
326,746,167,794,460,335,436,000,433,729,555,836,512,803,269,589,455,674,160,
035,981,853,192,665,724,664,992,608,331,984,286,201,705,650,077,691,583,930,
260,403,232,507,794,780,583,933,338,826,043,444,282,786,330,870,579,028,074,
178,204,322,166,068,430,602,276,811,147,890,989,392,536,228,246,261,391,326,
703,389,184,340,163,419,296,285,626,844,783,858,521,935,291,213,116,665,486,
268,835,028,993,787,615,149,016,585,528,621,593,664,893,991,585,777,204,441,
623,349,969,927,366,359,865,174,480,097,869,419,769,565,083,383,233,398,807,
754,349,601,107,423,748,907,977,379,404,185,472,172,536,673,384,266,991,616,
923,188,697,287,269,170,139,108,644,396,480,741,549,102,197,290,168,657,845,
627,542,148,309,725,810,081,223,979,969,434,008,644,320,371,210,932,389,267,
415,824,516,407,379,230,860,595,256,091,178,143,240,677,863,552,590,173,432,
836,633,143,372,633,990,911,231,574,945,776,463,919,142,392,930,411,873,979,
045,893,108,853,670,547,740,251,210,938,203,521,741,449,450,314,839,599,937,
145,010,206,979,701,172,896,780,897,226,039,364,075,501,788,790,503,984,517,
182,730,330,612,581,028,451,891,827,934,525,422,597,049,400,039,358,866,663,
345,891,709,530,278,715,565,077,553,167,815,634,451,624,997,178,634,153,408,
834,023,689,759,998,761,776,339,268,276,309,394,794,957,336,956,209,025,670,
217,035,867,019,868,852,240,913,595,797,579,515,024,936,450,016,832,254,684,
191,873,918,566,795,648,784,638,650,563,150,849,531,142,208,746,146,567,425,
697,843,702,570,324,449,165,942,771,824,135,673,598,523,473,026,571,304,914,
941,072,064,403,472,673,648,709,323,062,177,500,884,371,411,564,593,705,430,
275,414,007,929,831,898,279,913,335,219,937,324,113,583,635,223,782,436,620,
098,646,082,573,933,978,112,412,626,805,852,949,718,345,641,185,832,034,946,
258,238,141,809,729,108,828,458,749,053,772,271,340,605,816,031,374,853,073,
337,640,791,183,306,077,026,600,852,678,197,994,205,843,718,231,520,868,582,
678,237,901,501,493,985,237,227,829,301,806,292,617,487,250,936,346,861,823,
736,327,680,194,126,599,699,609,454,601,801,198,677,818,841,401,007,392,787,
969,920,570,106,944,313,183,291,262,092,270,312,901,429,856,217,520,732,043,
996,144,342,527,250,313,614,602,036,746,033,364,735,305,458,459,687,823,708,
685,890,133,532,245,575,702,242,486,399,104,638,410,502,487,455,924,466,494,
540,094,844,930,069,228,709,212,142,811,748,049,874,496,814,168,766,661,011,
836,510,387,081,031,390,886,270,216,173,186,109,838,579,006,396,769,646,993,
572,645,893,740,402,423,351,757,702,370,629,533,899,179,318,713,462,620,841,
020,449,972,012,381,795,368,676,764,337,027,380,611,206,066,044,375,270,602,
539,808,781,513,377,989,483,935,924,325,446,334,908,468,392,600,728,263,967,
346,736,070,679,519,566,562,771,579,259,704,696,539,200,543,158,351,708,248,
254,858,894,976,895,076,891,062,649,814,986,220,010,362,574,509,861,004,198,
622,050,576,846,415,177,238,443,074,480,336,620,710,135,747,195,256,559,711,
683,169,976,517,032,986,579,323,013,048,446,160,370,430,717,213,737,299,131,
484,686,924,554,018,847,817,150,749,100,618,989,635,475,539,298,627,255,139,
165,095,842,826,014,982,531,003,298,157,205,096,590,023,573,402,483,071,603,
803,897,712,700,979,476,161,285,611,735,286,315,557,774,735,882,487,375,529,
774,723,029,410,320,063,358,351,668,041,964,726,428,438,643,341,232,982,199,
757,842,151,651,005,670,245,840,145,831,670,701,522,816,847,524,425,551,393,
522,663,493,662,346,114,998,589,502,796,178,679,877,943,804,822,992,564,228,
116,681,327,568,923,937,452,528,936,854,874,639,349,359,993,527,451,717,953,
236,674,060,288,607,165,196,870,705,739,599,499,710,051,691,530,875,817,115,
399,691,013,175,804,810,376,914,066,043,145,765,529,615,879,165,375,658,078,
344,356,193,458,607,970,711,154,573,474,300,171,906,683,735,960,123,190,713,
072,042,398,320,414,544,711,357,929,548,997,306,670,968,139,107,080,440,598,
499,039,543,346,803,692,782,735,003,688,962,186,197,490,637,769,294,424,933,
741,102,987,318,691,087,100,222,357,341,060,600,665,609,668,642,350,747,457,
923,831,562,203,636,611,988,567,506,376,002,062,329,021,323,559,000,254,256,
753,162,326,964,165,961,211,445,908,907,640,335,373,828,450,097,153,830,990,
976,395,111,629,639,872,285,082,229,760,029,198,454,209,701,568,751,324,914,
445,682,111,201,618,292,194,837,325,808,500,486,205,488,927,771,647,636,848,
761,288,674,184,798,196,601,685,135,618,071,640,978,083,285,279,619,846,581,
943,810,283,726,655,662,090,696,355,826,323,243,734,888,504,078,744,158,407,
094,721,579,703,561,457,654,518,719,665,654,857,659,435,490,252,098,578,872,
017,914,112,382,940,860,685,121,794,569,545,184,288,900,791,251,512,121,305,
819,470,226,806,388,325,950,614,880,858,037,915,534,670,912,745,358,108,780,
238,247,439,441,641,406,703,052,337,732,001,320,102,488,984,520,895,487,567,
624,710,022,485,729,086,463,187,492,346,311,203,364,626,638,185,269,771,774,
657,175,067,718,731,952,605,919,371,804,030,246,324,187,753,446,643,193,146,
956,001,506,572,320,254,362,670,136,731,917,321,837,259,985,332,845,175,769,
861,654,916,814,529,697,741,003,759,372,493,895,931,039,914,967,584,468,781,
732,801,955,653,356,669,524,191,362,969,182,231,304,474,124,341,997,660,342,
232,852,089,797,444,900,169,458,680,800,250,995,490,562,641,521,735,246,321,
934,181,982,674,065,012,802,171,723,158,879,993,779,401,918,847,836,725,255,
772,449,968,134,886,672,596,827,833,316,563,714,275,242,190,054,672,691,097,
449,091,624,176,794,854,555,857,892,822,927,455,796,799,509,105,413,692,069,
927,402,176,342,331,018,488,231,182,463,693,819,811,555,416,623,588,954,896,
528,116,456,456,270,655,900,217,722,665,927,594,339,733,534,016,550,443,615,
687,208,480,622,131,530,386,903,623,325,778,948,173,452,406,101,184,644,084,
173,930,728,260,950,695,901,639,150,073,986,540,793,969,025,554,430,866,582,
695,142,669,278,211,871,732,050,689,930,949,219,512,204,653,443,613,239,829,
243,371,425,352,182,546,114,650,867,193,210,971,562,058,691,113,602,058,027,
540,048,358,484,505,170,237,678,318,047,242,324,542,022,721,169,705,313,154,
233,841,321,466,569,103,114,108,592,612,690,051,729,031,089,018,150,634,754,
322,454,232,212,929,810,366,425,542,705,919,298,966,383,769,526,955,450,439,
667,276,644,412,431,329,175,924,476,469,288,315,314,957,269,003,089,957,456,
350,058,793,756,892,782,346,807,454,698,984,339,538,700,558,779,033,706,562,
075,557,207,335,002,989,751,723,738,198,042,904,894,911,167,398,270,020,167,
359,843,449,802,122,891,471,849,264,400,706,709,009,527,556,602,219,133,361,
002,939,854,590,270,246,818,503,538,143,636,398,203,765,237,465,315,539,406,
608,393,114,424,858,563,808,595,906,167,967,730,470,171,694,363,930,477,667,
809,665,350,928,094,925,632,874,194,188,919,221,649,833,799,537,372,310,869,
634,482,225,967,030,586,877,546,206,444,400,330,916,301,923,066,806,278,470,
357,277,198,908,937,218,145,240,492,048,086,100,364,637,471,006,785,589,252,
802,194,601,152,278,504,558,368,508,217,740,755,569,846,182,389,744,057,855,
924,786,274,954,453,253,913,952,147,182,749,213,412,107,794,096,651,213,106,
870,445,546,027,406,435,324,468,556,383,477,377,081,748,265,894,524,549,057,
591,976,124,657,187,110,937,496,397,137,833,740,283,303,975,489,225,347,103,
509,029,268,252,830,566,921,921,598,420,084,452,307,949,142,187,548,087,698,
808,356,260,934,275,586,506,027,101,684,043,180,777,803,179,784,892,229,797,
995,148,688,626,238,173,254,513,960,503,169,182,086,393,746,949,037,824,260,
473,431,447,256,235,868,854,364,556,788,592,179,656,967,394,533,447,079,825,
672,147,829,459,615,307,735,669,069,539,411,658,597,554,292,701,856,369,949,
870,334,926,564,818,043,651,650,829,748,050,508,087,587,043,579,456,838,388,
942,638,015,558,380,923,910,860,214,945,316,155,846,665,180,010,959,152,426,
990,521,083,968,673,411,973,370,291,131,269,145,968,309,188,675,863,099,645,
042,352,687,657,813,360,495,977,838,429,446,335,656,518,287,914,056,093,360,
995,113,378,642,863,797,321,302,153,269,640,119,799,048,692,698,628,851,523,
734,506,237,336,543,701,097,647,949,754,774,375,078,834,969,533,664,408,373,
218,230,674,318,816,821,166,880,241,645,180,422,746,788,259,806,990,677,144,
018,115,280,414,838,619,911,883,070,778,545,001,296,455,304,711,275,788,771,
774,969,763,457,133,696,859,470,136,718,407,792,941,566,359,379,560,046,894,
546,505,532,819,378,386,449,026,903,391,251,904,905,582,268,218,704,016,129,
913,051,658,300,955,229,266,746,534,961,480,081,800,102,480,653,044,889,421,
937,826,118,782,827,663,577,102,602,897,512,099,070,844,665,480,714,394,012,
332,826,002,422,886,672,284,501,342,086,449,700,105,718,016,216,504,906,091,
169,079,363,305,794,983,045,267,716,545,335,260,198,566,536,857,325,283,389,
043,939,128,486,663,127,174,350,275,287,033,203,518,888,023,166,842,830,846,
577,873,072,667,420,344,409,837,998,633,669,808,216,677,815,353,934,096,124,
537,913,665,923,489,748,400,157,700,498,520,979,790,547,213,880,549,843,951,
436,311,248,883,447,405,730,490,119,191,190,154,214,251,102,018,513,050,169,
847,351,079,041,055,735,360,155,767,118,676,701,883,433,986,467,319,999,000,
730,426,436,344,605,726,160,134,476,702,674,142,062,124,007,392,623,840,684,
745,999,766,795,476,736,494,004,883,409,367,730,995,367,237,231,098,625,601,
708,734,479,419,182,058,495,957,343,083,701,457,477,857,633,700,262,165,486,
299,311,502,262,775,667,242,398,778,914,156,968,646,911,650,052,086,397,611,
998,622,311,663,814,269,207,841,709,413,202,844,048,335,086,076,825,156,257,
159,706,719,616,521,037,180,513,100,383,122,970,880,994,833,717,615,699,162,
900,714,268,860,617,664,231,799,245,307,751,218,834,711,957,913,296,564,947,
497,549,661,395,071,950,105,416,088,555,475,876,676,810,809,652,877,411,871,
151,484,292,287,106,588,650,539,296,371,835,939,063,466,320,112,365,372,208,
594,461,971,608,780,392,675,983,877,250,509,665,246,242,949,145,439,756,149,
462,659,764,509,306,381,675,900,093,576,488,606,115,425,388,323,297,553,792,
637,768,783,215,057,575,863,702,748,318,879,071,459,506,405,504,487,956,866,
533,798,639,976,545,281,326,531,618,986,765,973,818,466,297,675,525,163,453,
462,779,422,283,217,872,419,348,547,229,224,973,567,839,694,727,154,843,806,
646,863,135,795,454,377,992,791,149,106,824,665,884,934,304,280,426,573,564,
891,968,066,509,128,827,270,869,840,087,573,755,032,194,732,340,463,507,872,
810,956,021,539,718,240,391,120,655,790,719,420,276,426,009,842,629,618,374,
409,194,506,229,880,482,690,797,286,338,437,370,608,152,480,038,791,825,272,
283,613,404,639,011,296,695,186,175,124,932,416,265,757,473,974,930,474,432,
159,280,820,544,512,525,961,181,838,273,455,437,598,450,785,100,624,940,988,
662,842,455,162,294,233,208,830,673,616,522,862,873,898,426,946,735,207,329,
966,470,645,077,705,884,809,831,434,241,405,003,544,928,092,241,852,225,038,
945,534,686,969,391,732,585,247,601,956,264,844,967,551,977,706,104,435,259,
470,939,614,455,522,198,221,852,677,155,215,116,341,812,952,227,617,822,619,
653,404,607,721,804,889,546,519,051,458,228,926,953,865,315,002,208,677,164,
149,120,379,279,096,475,534,781,272,713,024,446,212,162,681,204,521,872,028,
879,046,981,510,280,507,401,713,180,791,702,661,395,517,224,017,142,504,365,
853,606,592,341,793,937,018,069,765,187,094,799,185,316,144,093,647,236,251,
636,868,372,064,115,549,639,952,583,151,541,361,237,928,352,652,464,689,489,
485,248,056,596,450,293,231,157,240,000,346,444,322,366,704,150,862,998,746,
979,827,904,693,162,651,684,656,869,622,826,344,656,249,946,116,971,603,492,
206,088,357,200,840,285,639,999,176,541,628,399,510,339,872,818,458,593,025,
123,156,081,712,904,941,304,284,497,843,818,427,327,211,927,396,612,257,216,
940,443,892,735,045,017,917,751,892,943,320,566,281,705,388,267,134,953,894,
163,667,200,236,467,696,061,406,411,352,040,439,941,243,277,112,506,563,128,
798,459,757,937,527,647,744,964,159,529,067,426,344,533,036,331,860,648,095,
839,917,907,213,536,776,607,273,483,147,558,849,210,691,730,596,853,814,771,
006,681,301,461,325,181,411,370,540,296,446,948,630,058,988,040,452,361,651,
597,609,259,412,026,129,161,081,625,002,563,334,191,336,927,840,576,464,753,
476,065,044,586,910,884,282,307,448,941,267,712,201,426,544,104,933,233,697,
198,579,136,131,702,614,775,080,879,733,622,700,394,284,173,520,242,212,754,
081,423,382,589,628,562,005,088,214,940,335,117,897,274,767,199,012,451,448,
632,314,359,627,825,550,759,656,460,050,830,402,704,924,338,986,246,119,295,
967,515,146,706,614,844,053,814,265,652,074,223,741,356,370,423,588,629,019,
592,909,045,777,463,433,976,660,783,252,783,027,708,156,388,782,709,340,203,
039,222,022,461,554,642,816,305,601,379,753,499,101,108,884,186,811,535,163,
390,553,913,706,816,672,337,752,947,499,770,162,566,666,469,646,282,371,348,
974,250,643,464,969,696,370,490,673,780,258,498,951,387,852,917,435,999,688,
690,466,728,942,419,138,062,858,421,641,774,991,165,205,624,633,864,486,498,
760,121,035,629,499,215,709,236,346,715,058,344,425,578,659,801,454,231,012,
886,458,166,773,053,353,144,967,167,975,604,100,500,270,894,232,456,595,864,
062,255,691,057,240,736,889,198,822,737,968,609,011,364,404,712,735,831,699,
233,723,733,262,706,023,309,369,724,611,661,978,757,888,624,957,979,687,373,
095,268,830,290,333,070,412,706,348,475,492,908,062,478,199,211,451,644,846,
787,067,440,156,646,732,372,226,636,980,170,816,197,523,476,308,407,118,279,
135,071,770,147,120,384,104,314,015,928,148,323,492,032,242,300,903,964,301,
875,178,361,982,758,822,833,157,910,336,725,088,901,696,139,532,930,981,673,
234,379,643,511,769,300,537,584,809,076,479,944,167,127,993,704,531,721,985,
612,381,015,681,202,585,822,855,600,478,656,901,456,298,733,178,231,427,015,
857,514,939,158,139,316,565,343,579,226,138,630,185,476,334,177,398,332,876,
627,322,272,353,125,297,780,866,804,493,129,571,140,690,029,013,223,295,926,
280,872,742,044,905,895,716,449,013,777,744,134,096,197,646,491,858,492,091,
980,951,413,329,045,124,887,997,032,535,167,958,494,941,318,454,319,143,250,
985,409,092,095,054,470,426,299,434,409,181,708,010,165,050,741,283,756,779,
495,009,693,285,043,827,681,556,855,303,176,157,540,926,061,276,874,807,251,
821,225,787,904,803,425,398,827,676,423,033,843,828,936,798,188,710,740,961,
989,387,059,535,268,539,875,645,725,996,332,783,188,894,494,645,717,665,768,
099,964,678,849,623,697,536,221,194,749,434,466,371,815,744,698,003,401,555,
272,406,473,457,267,550,064,668,725,116,713,448,354,405,398,621,619,796,908,
722,147,835,089,898,562,981,582,926,602,950,701,696,043,733,056,968,032,986,
842,496,710,512,702,269,854,197,778,038,009,589,030,352,876,909,040,634,054,
910,027,982,215,170,661,195,414,790,866,572,849,446,636,230,657,442,936,624,
626,015,455,973,530,708,077,633,496,183,134,888,753,979,294,990,731,894,213,
473,952,716,221,018,413,526,417,674,771,059,216,772,716,037,217,764,875,161,
620,598,823,812,406,832,932,378,080,178,482,809,640,941,203,038,653,601,987,
330,880,134,094,171,858,163,003,140,240,617,921,305,578,370,992,906,631,988,
001,903,711,481,064,262,808,283,713,027,664,409,160,495,876,345,996,980,825,
852,465,704,783,850,927,569,660,946,739,988,810,463,323,117,463,596,157,065,
974,117,538,451,861,145,763,754,041,030,088,070,579,657,259,146,291,698,969,
930,460,723,644,685,800,432,764,918,072,948,237,734,421,356,316,621,057,194,
613,623,291,661,869,263,581,520,631,715,609,141,638,165,613,820,419,429,719,
725,503,046,050,095,061,285,431,933,461,633,061,920,079,028,965,110,875,961,
927,213,631,347,640,525,788,603,852,762,569,479,749,577,307,597,959,306,260,
730,759,790,780,017,970,714,794,440,664,236,456,329,449,104,462,814,070,928,
243,643,961,159,255,241,519,665,028,485,630,495,547,343,527,860,805,933,022,
037,336,851,992,760,559,150,489,615,891,309,758,784,761,293,443,162,700,703,
471,769,429,524,044,892,786,139,773,264,137,770,342,253,968,065,119,107,532,
454,338,208,010,853,424,890,948,980,984,449,104,301,205,022,507,706,286,941,
411,764,427,300,533,474,856,225,640,401,293,517,651,968,108,042,593,796,868,
381,593,212,981,807,998,072,006,940,374,619,891,541,970,150,381,299,772,108,
552,574,813,902,928,652,618,462,994,765,917,591,866,444,382,815,866,008,971,
616,983,591,013,630,910,508,723,779,458,074,247,396,958,893,337,652,087,493,
886,085,169,708,432,415,398,357,250,914,029,338,073,066,942,141,396,420,923,
144,121,188,114,081,723,962,525,769,548,370,604,723,401,587,865,496,867,421,
193,668,003,421,777,223,079,667,125,730,224,432,287,067,688,608,201,874,894,
978,502,009,815,325,130,175,076,749,487,804,634,586,736,539,450,560,985,782,
542,704,745,139,179,612,825,010,424,501,463,936,810,181,227,803,751,233,346,
458,029,930,890,412,344,802,369,650,065,608,420,390,752,811,215,082,176,006,
976,979,025,632,623,358,254,255,174,333,008,469,092,801,658,812,137,382,098,
036,615,150,864,853,844,811,346,771,501,610,950,432,079,435,354,911,831,629,
247,966,681,280,624,040,622,918,216,635,705,267,145,426,873,469,978,991,924,
152,635,790,436,951,461,758,340,696,672,147,391,865,551,247,088,577,458,900,
496,125,049,713,377,041,306,715,186,406,558,320,550,082,519,123,421,987,508,
918,336,231,885,728,858,583,286,831,450,623,715,306,446,400,105,646,776,216,
164,436,534,816,170,152,663,006,198,857,234,570,289,558,193,855,856,123,566,
400,739,624,088,687,673,839,555,535,225,420,331,460,936,500,119,100,761,810,
179,551,613,222,519,585,704,120,515,813,868,517,899,177,041,452,760,716,211,
782,021,718,741,833,542,171,271,252,091,495,668,986,059,389,162,419,613,356,
381,450,647,473,699,221,692,249,448,471,576,116,836,394,873,571,227,180,479,
971,118,332,702,395,375,086,837,482,046,607,826,974,805,531,914,240,536,575,
250,505,681,881,452,247,980,275,763,704,252,532,717,965,036,711,084,543,471,
497,295,255,953,451,100,596,460,304,707,391,106,362,525,665,282,342,194,473,
787,949,303,279,320,136,407,240,424,822,146,932,717,437,805,977,127,517,288,
366,704,409,488,758,307,930,093,681,004,909,108,763,910,004,599,298,122,529,
219,610,911,017,764,022,205,773,812,414,196,625,739,516,939,946,824,045,036,
027,456,947,513,038,449,801,029,774,722,103,112,860,882,683,539,024,970,834,
853,635,890,371,390,206,988,416,384,178,095,734,240,835,329,658,070,898,404,
246,064,241,747,817,086,930,736,981,058,896,763,164,212,656,395,693,883,499,
637,580,851,583,230,321,378,449,305,072,166,831,293,178,460,763,938,904,917,
760,628,461,602,769,352,079,820,515,235,258,814,795,354,321,656,467,288,435,
167,265,100,594,632,344,337,497,242,835,372,966,585,851,641,205,972,989,632,
601,937,620,280,777,969,124,834,049,764,806,077,742,611,935,047,591,083,733,
762,436,202,142,348,913,706,107,895,579,944,104,967,125,859,820,238,983,343,
311,916,417,735,351,935,436,802,130,889,670,539,428,429,715,100,280,220,602,
282,646,879,608,630,476,188,276,741,280,300,543,442,340,647,699,001,134,254,
643,324,245,006,482,518,783,645,016,106,522,173,079,791,770,956,290,509,896,
490,756,867,652,171,727,957,328,621,410,251,168,056,043,352,745,767,340,020,
578,832,457,947,981,702,600,906,169,815,872,609,339,217,939,702,989,847,776,
505,633,883,606,020,407,787,209,582,489,257,781,025,124,656,448,677,370,373,
802,505,633,218,977,199,596,874,396,135,928,578,047,023,980,807,657,595,906,
375,998,075,229,631,778,817,685,707,939,305,096,147,621,592,414,460,401,867,
246,495,906,721,584,014,877,626,114,363,654,215,132,811,334,368,544,200,836,
767,747,861,543,425,812,699,041,356,648,952,112,245,457,007,312,897,619,953,
502,672,335,427,035,698,201,943,885,627,800,124,134,326,754,417,272,173,452,
037,188,179,618,947,889,048,297,295,374,124,972,479,330,418,282,864,393,719,
125,463,607,240,118,551,214,966,126,548,986,453,238,951,211,683,091,366,659,
377,669,170,693,719,203,207,375,907,190,354,974,563,916,505,507,717,343,635,
209,955,186,624,684,660,707,042,968,046,305,641,597,496,325,007,503,019,450,
222,603,777,452,162,898,041,794,249,259,714,414,252,306,872,073,787,576,900,
400,493,935,099,625,286,194,293,364,033,652,892,063,405,619,679,701,108,387,
948,017,101,829,672,212,720,686,202,778,276,265,691,098,241,452,437,205,832,
925,886,576,186,390,001,113,932,737,147,794,326,378,199,847,239,030,537,239,
963,205,971,505,818,743,086,995,004,339,306,366,423,055,304,470,172,129,609,
924,361,611,675,761,157,812,883,071,316,410,182,297,888,456,687,080,654,345,
815,358,917,658,167,466,433,575,062,992,359,489,529,311,210,045,927,036,202,
490,557,082,461,586,438,552,352,320,860,422,732,945,583,398,505,952,563,514,
297,937,252,778,766,270,883,337,639,060,584,897,447,120,253,055,850,409,057,
603,468,166,488,477,805,910,515,935,212,906,000,312,547,994,933,507,191,241,
916,950,754,410,284,694,539,498,402,926,758,132,938,205,857,447,969,992,574,
784,738,650,686,523,045,178,547,320,894,973,609,148,732,002,406,811,533,432,
883,080,352,554,646,962,999,301,971,677,626,905,338,474,262,729,184,579,923,
764,579,823,606,135,043,367,458,934,436,839,103,490,560,105,726,129,941,103,
886,886,601,041,058,140,453,535,098,335,373,259,567,461,567,470,754,152,151,
966,357,848,406,270,891,558,361,559,964,049,160,194,128,168,734,135,290,728,
275,005,439,272,665,238,438,755,555,152,546,502,445,788,791,369,215,449,193,
672,739,758,473,943,526,905,239,187,466,125,630,610,526,427,445,798,136,737,
923,046,846,124,307,091,623,704,644,433,325,030,136,046,571,653,525,977,601,
850,663,694,674,532,338,865,299,712,866,182,656,607,494,790,236,860,611,936,
653,817,939,620,242,870,590,403,498,759,272,901,904,084,437,864,757,176,068,
651,161,094,332,060,166,264,845,130,243,886,189,701,402,067,624,950,591,860,
757,677,941,892,517,303,661,961,600,852,984,282,868,564,997,119,089,015,682,
181,709,766,227,980,594,517,413,365,225,095,349,256,433,603,733,796,718,622,
356,740,632,251,831,810,479,643,836,105,159,933,215,703,388,865,412,653,638,
162,190,156,113,793,067,511,168,007,072,367,899,215,586,903,860,346,594,714,
845,773,177,612,191,164,613,180,761,756,694,922,042,719,026,378,883,688,103,
892,800,344,300,397,970,215,983,878,322,770,958,378,923,679,189,292,764,789,
939,763,671,195,785,007,568,343,799,781,756,443,408,160,446,634,028,106,274,
383,406,491,038,530,245,727,007,286,139,513,383,614,395,553,079,688,375,706,
801,117,094,278,123,634,653,373,795,082,840,057,064,685,738,756,137,261,355,
086,130,169,395,142,493,627,572,405,991,282,250,266,632,171,092,243,555,878,
976,245,597,066,681,172,058,677,634,184,357,628,063,087,776,323,084,890,490,
061,350,100,480,539,367,712,422,636,850,107,110,899,797,508,613,077,713,790,
053,997,939,212,957,291,740,615,047,200,096,559,718,528,424,442,184,309,317,
445,313,255,988,218,794,295,068,843,355,689,094,691,547,358,746,763,221,253,
396,232,458,035,214,469,959,401,250,455,518,218,894,642,291,431,296,686,399,
199,007,160,327,315,633,644,446,832,416,150,545,419,591,794,531,687,155,125,
984,271,224,690,793,125,827,352,709,929,749,383,706,953,926,679,773,618,165,
863,553,431,404,508,705,510,832,134,262,370,634,651,923,074,155,381,354,336,
322,643,682,527,642,999,969,274,129,841,914,942,865,783,734,115,125,860,377,
639,823,670,138,617,155,018,635,947,429,848,650,584,912,562,548,390,761,853,
166,369,622,338,004,066,410,335,143,826,089,620,629,984,779,101,110,562,602,
000,542,434,505,167,175,012,089,626,876,696,217,575,967,457,855,129,094,690,
574,329,450,267,892,482,465,432,759,330,937,731,998,209,689,387,973,869,612,
453,588,011,295,036,602,209,999,916,152,067,233,185,250,235,927,940,032,336,
774,023,330,533,422,985,411,430,310,326,072,233,743,057,984,087,002,382,469,
441,729,225,076,809,909,225,621,542,999,673,594,108,977,383,424,393,074,375,
143,281,547,527,870,309,826,548,028,127,038,775,755,808,492,281,458,055,375,
693,977,337,682,836,923,735,578,559,091,321,190,002,681,520,667,084,489,448,
922,318,385,284,434,589,244,641,647,041,868,081,391,624,587,473,836,910,809,
119,099,601,445,181,953,564,124,829,661,900,563,789,421,156,043,407,942,374,
120,876,150,813,138,062,821,136,118,951,175,214,843,099,478,925,648,197,375,
269,790,545,585,798,217,203,457,154,107,807,079,263,367,365,535,271,410,678,
896,404,044,291,679,878,065,098,369,773,899,642,357,290,296,522,875,537,944,
978,677,224,522,820,182,619,510,741,896,407,892,662,571,377,301,296,735,674,
513,265,933,791,199,097,395,830,796,355,784,028,800,820,105,601,056,215,331,
866,341,229,698,763,424,835,344,186,347,498,183,517,214,184,214,506,801,809,
187,041,611,174,236,132,580,893,466,002,936,429,492,730,455,023,187,204,862,
344,033,536,899,041,749,793,967,304,281,899,901,925,490,676,896,387,540,930,
977,652,318,615,255,660,413,704,841,341,332,732,808,164,281,937,665,791,771,
543,041,135,300,120,213,781,012,245,994,017,854,709,345,703,339,502,707,412,
379,421,670,603,598,575,036,889,507,583,157,046,806,635,429,053,235,666,972,
827,593,088,529,148,857,385,122,637,229,696,239,607,581,125,878,614,032,837,
962,610,889,255,287,709,186,859,246,284,391,381,435,033,156,198,709,292,188,
997,356,354,880,468,322,458,514,353,229,186,520,913,217,225,164,950,278,836,
384,021,310,665,621,633,599,129,433,498,194,961,875,515,884,138,300,536,482,
832,457,336,275,581,126,680,823,146,640,331,933,020,905,618,926,422,957,294,
764,568,116,370,435,596,699,875,621,744,747,562,396,630,498,086,949,740,359,
776,529,757,335,200,189,725,458,488,465,312,678,023,180,513,488,422,703,517,
286,948,411,954,929,723,300,604,907,566,028,204,811,174,754,452,822,789,267,
374,795,297,640,471,360,309,338,401,083,221,278,733,588,582,174,651,550,502,
473,530,974,257,035,314,920,142,454,402,660,553,255,134,510,661,970,075,531,
428,980,415,543,108,117,371,225,192,959,577,394,591,860,669,722,938,039,861,
726,663,841,954,889,942,123,407,875,048,978,736,108,646,773,226,574,197,765,
710,866,718,815,644,518,863,286,189,382,109,863,836,837,422,856,644,058,903,
010,649,164,037,400,486,889,836,382,053,187,705,195,588,391,580,862,626,266,
906,020,788,478,607,572,651,282,421,225,582,862,317,607,919,036,439,602,442,
135,125,035,840,162,034,979,290,022,911,783,766,887,034,338,428,107,308,552,
131,234,179,760,140,761,516,057,410,948,920,648,300,472,775,521,059,816,116,
879,349,809,715,404,305,391,050,249,506,799,864,202,308,908,742,591,462,125,
160,369,032,226,426,318,532,608,269,507,955,618,293,320,909,250,052,211,954,
890,872,666,771,500,758,650,524,215,604,366,173,634,272,409,069,942,569,602,
179,787,487,699,018,011,374,166,594,564,511,245,323,072,452,406,350,050,519,
891,776,409,956,493,157,126,326,033,310,177,454,775,233,792,471,107,599,638,
575,111,445,916,995,898,724,582,975,398,085,002,116,315,342,413,763,071,266,
812,825,230,265,027,297,887,746,594,877,408,657,020,987,617,099,749,971,403,
711,324,906,380,420,851,779,639,060,842,978,703,480,430,383,842,632,116,505,
961,894,459,630,657,940,564,244,082,240,952,317,794,962,909,413,000,627,220,
512,272,422,765,656,103,204,417,866,600,931,089,502,876,056,261,837,042,356,
879,415,250,816,680,802,430,722,043,373,974,578,288,700,852,458,097,165,211,
938,022,914,779,049,668,620,330,745,007,805,818,349,608,146,411,801,371,836,
624,257,442,132,833,037,631,643,569,850,042,996,187,089,058,159,176,453,732,
943,441,373,130,186,242,439,583,810,018,921,119,833,342,160,906,037,971,888,
125,282,829,843,007,740,963,570,331,829,962,975,642,948,953,900,644,682,911,
991,285,400,875,453,345,347,335,417,304,067,381,800,350,390,771,332,418,690,
824,464,501,714,070,698,070,546,650,493,604,769,313,703,114,592,558,109,678,
969,403,798,634,504,231,085,679,884,275,875,072,429,925,913,690,082,652,258,
691,167,687,197,269,642,248,333,628,672,976,705,847,536,385,557,305,397,600,
732,636,255,712,641,445,477,268,202,205,077,053,101,957,372,596,084,950,644,
928,950,388,699,644,146,660,578,506,557,992,575,013,960,190,598,989,721,727,
208,942,147,925,161,013,799,492,741,082,317,024,310,002,654,777,779,861,658,
672,262,511,813,276,586,074,828,793,830,093,419,211,833,784,760,207,023,101,
267,598,623,403,715,963,800,875,747,732,223,455,127,819,255,482,265,783,262,
690,622,145,680,725,030,548,502,094,515,702,072,306,261,848,140,285,492,800,
132,318,343,160,575,506,612,637,278,912,806,404,257,412,095,008,411,384,159,
132,741,400,684,324,417,243,592,522,386,806,624,776,252,950,690,292,550,724,
497,954,132,869,755,891,419,290,454,740,162,712,845,522,758,401,254,284,832,
639,843,991,855,938,680,148,496,912,416,894,400,316,495,131,261,527,332,111,
990,121,033,277,894,150,746,946,312,056,151,437,928,589,453,260,769,590,826,
241,358,190,926,444,383,892,732,542,636,333,062,044,735,834,429,107,006,537,
284,386,824,347,076,317,767,011,321,016,659,842,832,335,189,695,383,594,675,
564,695,333,696,337,150,118,485,575,979,988,327,820,042,193,150,639,017,381,
100,656,852,106,947,582,397,738,468,890,209,011,473,386,623,010,086,635,684,
972,012,782,532,222,841,657,867,361,114,384,855,330,647,352,169,584,679,344,
511,891,765,561,146,253,520,157,616,393,754,309,999,785,602,123,647,496,021,
872,121,865,552,138,996,484,552,090,173,395,670,618,509,221,404,935,349,510,
066,249,179,962,876,939,271,721,305,202,321,456,194,557,664,068,870,583,271,
646,894,685,188,869,151,251,929,386,895,319,416,419,707,719,085,904,412,818,
760,529,275,041,679,951,411,417,269,000,815,536,367,478,622,523,374,145,342,
150,789,246,748,822,318,031,004,501,599,371,502,118,106,447,375,782,235,732,
183,695,528,392,976,594,877,488,838,083,482,724,237,425,133,036,825,824,898,
164,706,596,113,016,072,176,272,410,740,760,122,672,055,608,141,181,252,497,
818,250,844,452,844,853,112,402,976,522,762,314,385,645,409,368,760,344,291,
190,554,489,156,025,707,832,262,698,109,226,834,637,464,926,809,358,588,974,
298,969,406,193,074,106,126,910,953,901,365,434,057,315,521,325,937,315,640,
352,810,434,232,431,928,294,056,977,129,316,383,789,197,035,099,832,737,167,
999,422,210,928,594,696,467,304,146,473,168,941,426,329,413,750,352,073,652,
771,796,942,636,230,985,943,170,942,684,537,060,908,277,331,406,649,579,463,
269,261,723,812,692,254,970,125,887,520,016,260,156,660,168,348,407,193,476,
996,128,251,696,190,561,123,136,706,600,378,915,586,111,637,021,292,908,720,
314,151,303,381,154,866,134,491,611,569,453,474,632,252,814,898,534,971,241,
235,559,057,156,139,823,325,899,453,563,209,242,193,078,737,423,525,957,073,
863,670,723,077,892,082,266,231,271,385,105,097,368,528,654,859,173,639,066,
418,268,287,072,463,325,618,981,893,883,053,540,907,896,011,849,407,523,403,
044,329,976,903,919,963,037,697,569,046,202,351,005,897,642,898,319,262,060,
087,306,715,988,617,537,312,014,228,903,753,840,794,187,827,766,415,844,608,
460,440,329,821,580,047,004,605,954,666,963,924,313,746,802,220,303,371,995,
265,374,187,543,685,183,299,591,532,805,460,760,124,692,476,557,893,989,881,
288,531,294,631,512,908,693,392,420,207,227,563,027,796,685,321,863,590,381,
784,882,233,561,712,108,695,342,245,443,324,585,695,432,234,659,770,803,940,
319,400,632,561,891,540,578,610,615,820,287,329,159,388,327,952,902,974,535,
306,356,783,865,135,406,617,464,027,008,012,296,870,870,234,730,038,773,727,
667,674,575,964,023,821,938,155,980,165,667,392,612,028,759,902,466,837,317,
673,781,701,677,618,759,598,628,154,996,224,896,011,170,878,225,570,936,524,
494,618,216,445,963,575,604,272,921,022,719,224,144,303,637,374,529,270,707,
130,672,031,988,108,614,060,922,432,408,627,650,412,096,628,973,402,900,436,
582,232,988,874,705,409,926,706,222,676,537,397,631,566,640,853,397,906,269,
283,918,008,168,693,388,313,409,868,650,339,132,626,207,194,556,571,118,279,
209,930,437,177,418,219,235,167,274,669,471,172,342,834,591,636,042,367,790,
887,730,892,227,083,558,796,363,735,335,726,336,755,458,973,216,806,214,911,
236,747,300,110,306,317,283,804,827,201,573,279,393,311,797,222,938,481,283,
882,906,971,080,558,792,975,981,454,401,270,717,719,409,491,826,740,881,537,
459,345,745,707,232,349,943,794,685,793,033,169,286,781,783,867,602,865,400,
485,924,071,631,534,558,963,075,913,363,023,209,000,989,989,247,507,333,482,
646,985,306,959,020,210,815,212,490,882,715,987,911,792,753,354,646,756,951,
462,582,969,375,771,674,982,012,028,159,647,025,275,897,347,770,486,389,479,
784,400,468,710,131,321,292,337,288,401,156,681,451,978,108,904,088,186,090,
214,540,147,308,421,358,395,593,797,964,677,703,399,457,916,888,798,921,521,
310,191,482,163,164,974,317,498,062,269,997,436,233,251,453,545,975,450,942,
636,365,368,816,790,095,958,128,422,901,387,187,512,748,472,406,014,364,379,
995,137,734,254,828,161,127,613,334,699,987,142,973,999,866,622,352,797,553,
726,794,360,145,551,608,394,292,071,172,040,911,830,421,436,195,721,064,721,
257,578,042,271,333,881,633,490,474,409,539,768,630,784,792,964,358,504,302,
456,202,013,721,467,186,372,338,020,812,960,152,907,026,505,044,962,865,339,
707,905,613,312,083,095,001,268,258,951,167,247,515,052,089,265,468,432,329,
585,040,128,657,447,516,259,379,421,419,743,242,532,918,827,123,167,846,723,
752,772,925,773,430,197,113,420,823,987,097,944,968,697,730,158,257,168,803,
543,349,608,651,429,263,860,074,625,591,784,312,949,614,029,261,578,679,234,
015,645,606,598,380,334,239,520,833,584,037,237,291,837,389,233,421,959,078,
499,255,329,316,529,761,703,005,672,952,087,282,618,548,109,976,146,521,958,
621,318,690,075,227,142,294,115,070,867,185,285,821,856,158,085,878,894,553,
894,480,172,708,150,259,351,224,225,514,193,923,734,675,497,275,005,460,838,
175,738,188,483,710,967,219,892,747,068,459,458,977,887,719,578,121,853,371,
626,260,820,386,480,813,653,366,391,823,719,223,600,283,980,771,421,324,267,
792,048,001,868,211,425,689,534,185,256,498,409,344,777,871,491,946,927,739,
333,097,419,725,462,672,591,954,353,672,525,141,210,605,947,709,976,806,483,
172,860,443,933,115,343,431,171,060,455,613,911,975,432,204,461,533,219,422,
103,481,428,452,439,957,017,069,103,339,987,195,744,719,916,543,021,228,525,
744,886,173,570,577,317,620,832,161,936,374,405,862,585,257,720,335,244,220,
716,947,396,920,924,099,189,656,412,538,787,290,646,706,520,697,372,621,383,
331,318,381,254,951,288,868,106,319,337,148,203,092,881,640,930,879,395,029,
670,345,931,649,701,739,183,448,549,555,226,896,567,248,970,608,863,741,718,
088,360,681,531,380,853,160,202,734,621,584,339,774,327,012,295,686,189,426,
762,674,805,089,294,672,862,815,785,750,682,012,398,167,789,348,476,337,905,
100,311,122,604,299,647,215,693,651,117,587,863,352,918,193,084,388,792,363,
321,791,132,499,619,236,582,323,008,749,111,928,296,421,291,625,941,850,526,
574,129,867,880,967,593,150,008,464,292,021,312,598,260,614,401,456,838,020,
739,282,082,321,050,032,242,689,843,110,078,311,896,615,414,610,558,408,457,
608,112,650,356,649,323,724,256,897,682,109,148,252,715,000,451,831,716,962,
289,261,273,505,029,501,725,161,051,410,109,376,255,363,126,905,215,942,171,
150,452,455,124,839,997,244,119,590,251,706,588,476,882,381,316,803,406,466,
147,866,640,463,418,365,069,658,075,229,909,722,996,033,061,445,623,221,755,
785,509,833,429,215,546,184,138,574,365,830,965,805,677,892,521,491,503,573,
997,755,267,448,434,781,682,603,228,545,367,512,882,894,972,002,879,229,483,
070,383,480,838,453,100,184,120,752,115,371,955,237,683,172,653,001,268,884,
110,142,908,223,999,574,190,195,088,062,522,568,827,132,834,981,305,630,095,
535,318,723,262,994,557,888,340,576,851,306,553,218,272,389,511,313,611,779,
209,513,300,230,106,067,174,456,107,986,868,015,446,973,544,781,490,373,399,
189,148,965,875,627,309,764,774,269,756,167,214,783,660,558,094,315,721,854,
076,635,427,342,738,558,784,807,077,921,073,409,668,563,510,221,806,038,744,
016,790,816,668,474,260,333,960,278,680,069,512,970,436,126,534,137,720,125,
459,223,654,642,588,099,077,125,455,214,163,312,475,670,218,632,287,482,744,
157,932,344,597,716,171,997,787,428,895,647,414,656,013,090,786,863,929,614,
058,690,587,432,518,656,539,256,513,134,001,004,181,084,144,592,530,070,446,
864,607,513,180,459,830,301,238,235,986,356,628,336,802,920,089,659,062,371,
448,651,381,315,446,986,433,858,980,477,404,945,455,184,366,638,498,060,138,
953,396,195,175,581,425,013,585,159,696,811,477,107,941,664,406,694,055,105,
060,441,447,036,488,755,770,791,067,563,757,112,366,980,107,765,121,469,561,
937,272,020,293,319,231,832,522,984,836,382,905,101,292,517,405,316,767,819,
322,944,783,107,892,021,650,560,918,422,328,227,492,149,841,340,024,247,182,
680,423,912,703,477,053,149,820,027,652,714,771,192,566,679,655,350,183,236,
591,202,878,475,535,964,056,255,249,091,293,992,323,013,202,587,687,177,322,
724,445,117,389,381,451,512,099,860,376,248,213,836,244,350,521,997,591,298,
884,842,090,982,479,538,036,317,140,897,502,191,400,723,266,539,479,024,293,
734,984,948,008,531,260,497,939,269,705,650,308,519,858,982,905,828,197,009,
243,656,438,282,404,518,203,542,429,728,388,717,742,539,684,644,378,676,330,
088,839,199,711,465,555,166,136,644,163,533,617,522,489,498,312,829,719,942,
339,366,664,615,071,701,376,595,927,302,847,878,324,868,929,000,709,060,807,
959,883,127,153,456,682,688,163,812,059,870,844,962,593,283,988,502,928,311,
873,265,444,343,868,917,048,702,469,997,051,936,457,012,036,512,649,548,494,
399,758,861,227,303,656,229,888,639,684,143,533,968,733,557,234,619,411,174,
019,653,864,649,769,641,911,648,035,689,517,011,923,958,634,140,389,976,478,
551,517,058,812,454,935,711,062,504,405,220,905,895,773,647,127,628,246,075,
628,021,109,226,227,453,741,400,417,284,111,787,263,394,799,865,145,945,104,
096,483,852,696,889,196,277,303,399,022,116,910,958,348,767,665,556,037,610,
605,989,731,784,448,779,145,779,386,145,399,808,520,537,663,661,389,926,432,
389,352,765,676,758,701,351,178,359,272,334,142,932,269,588,364,360,384,419,
987,708,652,042,553,751,993,915,041,738,208,030,402,344,742,962,145,798,961,
581,751,901,928,940,008,264,239,821,817,533,844,369,757,846,131,408,315,446,
782,571,761,359,589,663,196,555,704,812,724,230,461,640,173,543,795,310,857,
792,080,810,627,362,431,086,091,806,467,306,430,722,797,343,927,114,547,956,
134,077,372,811,727,287,661,059,714,182,301,936,909,739,474,352,736,160,783,
646,212,923,452,652,749,320,094,696,671,038,115,214,329,557,290,443,040,553,
694,280,788,067,760,951,364,959,787,444,991,189,893,314,657,122,000,648,156,
461,917,233,647,318,033,317,614,735,087,647,623,445,776,991,739,542,465,406,
238,710,348,392,901,343,056,331,411,758,084,221,524,696,306,518,906,632,373,
729,011,510,529,957,517,271,613,062,794,027,566,897,991,709,002,582,342,666,
614,226,347,319,729,889,002,935,456,547,512,728,744,652,849,456,234,013,205,
686,110,111,515,753,666,366,357,997,342,495,464,051,132,031,899,766,704,523,
987,255,141,144,108,247,449,526,217,190,559,056,141,828,761,716,416,120,116,
052,328,387,802,315,084,793,400,483,803,565,997,873,183,778,275,153,350,045,
813,062,630,824,746,598,007,464,158,721,557,204,713,080,345,657,703,999,744,
610,369,243,153,024,195,618,483,321,804,989,099,876,704,282,371,321,596,557,
243,305,407,634,930,495,255,776,062,049,964,397,799,221,344,534,648,399,744,
237,137,228,001,468,467,034,464,909,875,518,052,405,072,064,256,792,447,659,
627,898,339,025,362,248,952,639,453,330,674,781,869,745,722,044,775,934,265,
251,508,038,449,295,058,360,187,707,793,106,277,088,114,743,138,101,825,317,
901,275,869,207,421,759,997,264,021,517,459,682,284,586,534,520,491,452,116,
968,720,114,996,034,609,814,097,371,965,509,915,884,156,452,721,451,822,523,
571,778,906,060,535,361,312,567,193,070,114,004,689,354,942,193,349,960,463,
701,675,443,785,864,517,056,746,106,937,471,017,312,969,142,455,747,982,934,
099,605,862,067,489,203,684,069,892,698,549,096,284,212,436,189,634,590,631,
857,961,675,168,851,116,119,770,637,295,904,406,817,317,017,180,853,934,571,
927,658,051,715,588,809,978,121,659,781,939,600,022,812,202,236,681,533,865,
511,957,216,857,936,407,953,296,417,876,056,658,844,863,596,877,699,571,308,
319,478,700,427,676,451,629,898,807,454,427,821,037,447,905,827,707,995,260,
786,709,329,068,358,847,641,455,091,127,773,216,328,289,841,713,302,092,878,
351,977,697,697,139,124,095,399,194,348,532,837,357,516,433,085,152,937,406,
762,517,118,802,425,175,914,739,734,125,532,337,912,436,576,368,312,668,923,
971,676,425,301,421,839,819,517,023,187,477,486,068,119,866,908,203,266,116,
906,707,866,609,499,151,340,191,460,345,078,481,216,223,977,070,330,028,556,
182,340,210,494,855,896,356,244,790,173,408,977,846,135,248,171,493,449,563,
552,956,890,601,997,481,331,515,377,539,895,485,065,862,076,840,368,395,016,
695,848,195,325,906,035,619,610,509,482,487,586,504,302,806,837,602,067,641,
654,147,769,263,027,171,409,502,671,288,318,315,939,640,332,430,724,447,777,
219,986,283,417,062,669,790,309,584,785,016,075,792,428,639,589,799,688,369,
770,812,890,191,382,217,588,627,724,835,460,568,252,533,249,174,023,089,274,
684,857,599,003,074,708,993,332,800,925,678,896,549,430,299,623,913,180,930,
979,115,153,366,592,833,093,519,581,458,562,222,226,698,137,706,725,874,706,
008,716,948,590,917,981,470,670,838,624,878,252,250,743,274,205,837,635,625,
219,663,212,253,246,093,229,849,872,255,531,533,094,746,951,203,372,958,680,
621,601,607,663,391,688,816,435,339,737,356,888,162,739,486,012,978,041,906,
072,229,931,713,671,531,374,001,437,425,113,154,132,442,945,867,238,061,140,
227,203,820,575,761,834,211,981,470,031,505,483,962,473,607,653,789,088,334,
290,066,027,793,942,735,743,264,907,659,159,852,965,884,811,522,260,491,945,
785,429,445,022,487,772,751,607,918,292,925,425,556,049,313,676,285,343,882,
375,032,615,942,128,948,157,279,093,224,020,655,078,623,247,929,581,385,028,
389,795,358,497,343,456,142,206,336,420,645,555,278,019,798,704,616,511,855,
086,455,557,535,090,581,543,117,088,302,712,104,846,762,383,656,669,476,100,
294,843,786,357,052,770,351,161,939,531,230,250,939,826,078,727,620,815,527,
920,014,070,213,765,226,506,823,109,726,866,327,748,213,188,081,006,559,753,
664,247,685,047,511,420,842,114,727,855,645,514,417,224,607,469,809,036,841,
753,698,747,252,025,213,415,033,851,103,679,972,050,792,954,116,966,542,715,
937,559,317,951,442,966,324,688,642,298,572,980,059,502,929,219,958,266,501,
512,037,299,097,634,012,331,249,358,455,823,631,178,556,063,979,651,250,631,
538,549,273,921,363,449,843,721,110,099,123,858,826,541,206,522,653,030,252,
534,348,007,142,895,393,293,702,099,399,422,444,168,080,706,352,892,422,692,
519,985,427,571,077,451,953,933,397,997,238,974,151,035,792,364,766,258,674,
538,646,351,749,104,535,086,127,933,731,134,374,931,705,808,143,753,037,608,
799,059,175,596,205,588,059,285,074,073,765,177,077,463,511,504,985,688,164,
939,939,907,000,741,497,087,512,705,209,799,765,110,993,185,110,244,711,514,
132,523,481,444,247,743,035,402,003,575,722,044,684,878,908,368,725,490,269,
579,288,449,075,144,930,132,025,947,046,969,197,608,502,411,153,646,334,887,
214,510,072,736,421,548,393,989,828,490,555,885,306,604,779,232,877,093,126,
533,595,931,525,574,108,480,852,226,318,786,472,547,294,882,678,602,342,313,
717,476,278,276,715,372,981,926,206,036,356,962,243,525,151,686,658,522,784,
278,605,927,124,002,411,431,688,627,326,028,522,193,008,336,050,451,166,216,
714,666,431,166,579,386,443,180,785,935,521,927,524,814,703,595,020,935,392,
961,360,625,404,048,106,704,880,250,371,538,454,785,754,576,018,411,250,624,
175,684,043,377,938,450,007,337,429,502,743,269,141,575,525,929,812,014,469,
053,399,666,941,705,560,752,997,174,363,701,905,761,248,346,520,087,088,723,
716,144,822,734,144,785,832,344,139,831,209,270,446,869,581,983,140,162,962,
904,174,690,446,791,545,755,470,486,371,379,972,036,307,728,977,161,290,376,
084,364,565,735,298,709,795,389,049,827,837,050,952,859,843,929,055,582,232,
280,828,936,582,420,121,653,866,696,001,635,280,902,963,550,333,829,785,618,
773,959,049,458,070,195,946,264,564,749,878,901,009,542,990,502,183,946,455,
239,925,396,843,798,085,404,372,805,288,823,302,337,889,803,586,445,649,247,
359,542,803,412,539,079,657,551,545,278,553,418,227,355,102,195,393,983,430,
261,319,876,722,594,718,353,793,807,390,944,438,705,450,546,056,892,053,877,
751,291,996,167,872,223,093,839,620,747,535,546,226,618,068,373,313,180,327,
015,359,902,071,261,621,752,010,276,763,737,387,661,891,740,017,008,366,818,
647,607,471,973,620,666,163,171,834,931,525,149,982,344,855,231,257,990,684,
489,992,739,565,171,553,351,257,318,469,693,155,265,234,604,353,729,528,132,
539,980,918,522,844,156,796,993,958,062,256,775,224,179,419,898,196,939,306,
532,384,094,736,647,279,813,341,947,280,675,494,945,075,125,389,175,299,526,
259,388,690,339,860,704,936,134,476,062,094,921,677,914,177,726,929,362,830,
809,842,830,222,061,953,552,773,277,913,232,809,998,145,400,965,253,449,448,
921,879,701,672,676,220,864,906,484,502,536,299,800,481,285,131,435,573,710,
362,448,763,442,389,438,317,107,571,099,732,657,584,026,409,990,653,078,942,
224,808,726,827,817,893,927,876,278,805,258,314,311,818,885,427,722,580,534,
329,122,236,251,691,769,022,141,129,977,301,462,257,416,604,695,426,025,266,
056,698,998,285,976,246,206,769,289,940,610,525,078,466,774,021,208,443,359,
651,795,991,221,194,111,016,919,722,204,719,174,549,118,572,986,076,140,625,
332,589,506,247,459,279,978,300,650,290,267,482,303,724,718,553,449,034,362,
077,074,072,553,158,323,447,489,315,255,632,340,910,993,865,606,665,459,773,
251,587,147,071,489,061,151,546,188,061,120,514,582,832,776,793,023,968,944,
946,505,305,812,683,366,034,138,045,459,184,183,173,697,947,857,954,730,941,
392,963,331,986,972,581,538,375,162,882,223,700,044,002,307,384,012,231,284,
301,698,121,849,175,043,157,497,894,456,673,376,702,186,465,109,347,680,212,
271,152,118,112,902,834,392,100,031,441,461,981,570,201,385,186,329,366,968,
095,589,130,753,037,130,638,330,265,201,663,705,041,964,280,633,483,570,355,
772,350,690,571,090,927,245,983,959,603,729,166,036,741,565,422,422,805,624,
127,349,989,896,274,310,374,489,747,124,807,018,781,991,323,554,448,281,662,
931,202,958,683,323,569,342,847,113,603,161,637,149,370,094,553,120,547,058,
184,342,699,135,206,042,895,155,176,987,355,144,629,652,154,009,698,896,752,
224,056,092,944,044,296,587,315,580,801,292,117,980,475,173,851,056,702,452,
076,899,307,971,609,450,279,935,353,123,670,754,266,712,762,827,217,670,050,
440,479,815,554,990,639,522,845,876,778,851,743,706,439,362,926,551,010,200,
291,329,245,011,609,238,284,487,416,543,040,668,400,633,319,349,145,952,092,
937,429,024,292,577,729,144,606,152,811,701,193,114,592,617,774,331,864,999,
739,807,889,379,680,398,110,340,483,131,994,643,538,821,550,172,535,305,881,
337,376,753,957,543,185,139,684,242,736,865,079,696,271,462,207,180,049,255,
209,883,920,321,241,363,590,109,208,794,893,948,882,750,903,569,870,352,556,
007,539,612,651,101,508,250,037,948,637,470,618,571,765,526,021,902,767,694,
171,330,053,296,396,377,194,639,115,192,799,936,272,213,125,170,436,110,821,
024,037,052,805,356,087,044,405,479,598,689,125,647,598,415,311,190,303,364,
305,990,670,497,524,376,889,506,861,963,876,828,471,546,515,008,214,285,499,
852,748,085,429,457,954,650,275,359,701,063,747,550,550,915,832,146,923,539,
516,916,337,622,462,230,471,929,328,823,088,233,822,878,771,283,756,027,358,
230,715,150,350,871,263,241,404,554,764,024,942,718,795,192,060,967,288,922,
424,818,151,491,723,543,703,677,727,665,818,761,330,886,584,217,818,052,716,
800,506,044,533,391,633,904,641,696,171,679,531,844,532,158,236,849,768,688,
809,332,562,386,079,721,625,395,775,079,194,833,652,805,979,496,593,175,815,
997,650,812,877,967,819,369,121,194,842,100,372,363,282,299,371,188,357,234,
341,275,777,358,531,962,955,114,188,880,041,301,339,869,086,912,915,618,277,
197,991,835,751,537,124,084,172,595,437,353,241,058,234,527,766,838,131,428,
741,945,895,659,493,104,569,544,667,381,173,470,881,972,266,923,764,050,720,
770,188,898,517,631,583,546,517,387,513,709,058,049,972,608,796,424,466,920,
062,873,790,237,055,925,063,594,475,377,138,224,303,940,583,252,156,933,223,
297,833,966,530,577,680,263,639,229,618,046,076,369,563,914,302,604,545,558,
185,198,573,040,560,294,451,498,514,338,690,620,493,642,634,987,962,024,834,
845,864,977,931,949,798,615,870,638,819,908,784,331,713,825,667,103,103,540,
413,999,974,243,892,634,973,421,051,458,581,049,412,075,556,834,798,975,611,
825,827,328,083,223,192,557,739,777,627,036,792,525,747,119,090,434,270,082,
272,986,387,134,328,363,264,177,619,116,403,921,720,300,255,586,708,524,250,
801,516,429,737,835,638,974,204,074,444,079,012,587,762,876,033,732,139,811,
645,538,345,560,385,976,026,786,284,340,707,749,827,603,089,095,647,384,418,
147,070,587,398,465,987,499,869,243,345,521,269,204,014,169,923,404,357,295,
233,135,226,374,552,704,721,997,820,279,167,381,301,379,184,461,905,948,392,
399,343,854,138,986,309,912,205,405,529,722,928,192,679,767,105,511,174,945,
306,851,917,574,246,659,019,695,056,640,902,407,887,026,880,446,540,811,451,
425,706,621,636,653,975,592,480,008,693,175,089,543,262,301,405,653,894,861,
017,497,382,652,904,980,835,633,128,369,852,132,456,929,120,542,155,880,899,
621,077,482,346,609,422,429,304,786,678,807,615,421,298,441,112,543,113,931,
229,720,767,638,371,547,551,075,426,147,263,830,225,993,379,275,298,429,808,
171,776,685,989,413,907,350,898,464,459,065,444,601,668,361,658,012,528,581,
421,218,972,819,184,758,568,314,482,817,366,776,317,916,099,918,769,460,741,
546,998,470,711,729,944,116,024,306,039,561,708,878,562,477,900,671,572,659,
672,570,531,305,210,681,885,459,788,421,024,519,439,838,379,486,934,499,314,
207,847,945,392,733,909,010,422,327,356,110,556,329,189,411,882,959,083,761,
243,145,320,198,640,770,867,833,360,445,188,237,299,596,326,626,259,475,781,
787,914,441,908,354,483,971,796,634,571,159,032,924,364,153,170,580,696,421,
624,112,297,700,943,111,869,893,501,069,404,848,283,412,876,434,377,957,347,
296,066,609,317,609,135,611,165,518,202,347,141,193,271,433,003,807,479,227,
504,926,378,783,840,104,767,703,616,922,705,406,405,325,452,043,010,844,279,
330,735,918,066,000,467,929,160,821,509,772,483,795,745,528,285,940,278,003,
530,912,499,493,804,007,030,185,964,439,718,171,818,061,813,522,273,743,939,
730,855,084,581,504,853,094,472,793,411,060,522,254,000,061,380,279,829,765,
146,511,713,517,872,746,013,218,398,808,529,495,324,061,521,078,146,664,961,
410,022,605,922,790,193,413,924,509,017,875,104,420,590,747,522,134,876,487,
711,779,605,661,542,896,747,413,684,317,212,401,445,913,435,061,025,315,000,
710,706,130,753,843,171,448,888,836,711,517,882,403,385,674,258,304,284,003,
554,038,493,850,477,015,977,026,790,109,479,627,402,545,498,460,502,457,536,
133,463,705,368,408,056,266,178,486,326,710,440,102,883,748,499,892,010,090,
382,228,393,491,852,910,062,421,691,276,074,182,254,649,464,769,650,578,816,
244,068,110,205,132,168,589,080,841,978,708,494,343,579,378,770,442,551,170,
904,676,395,110,577,461,051,388,317,055,731,778,230,298,736,022,566,782,915,
092,690,567,411,307,740,618,866,838,207,265,112,565,173,326,268,393,018,754,
545,990,460,806,278,946,915,714,594,004,324,169,790,681,253,628,541,343,604,
055,822,118,647,290,839,512,417,163,836,057,240,559,631,300,057,579,045,957,
937,727,655,538,478,481,898,772,239,320,620,766,410,853,462,649,848,486,277,
869,050,941,902,057,199,335,069,443,046,793,082,704,351,869,132,108,230,358,
592,835,304,053,216,344,739,299,019,702,758,890,220,808,487,038,578,993,544,
170,889,744,256,540,347,242,056,652,806,756,712,813,945,344,956,619,441,127,
800,717,593,370,226,411,571,552,571,410,665,086,010,090,316,478,642,654,490,
613,139,284,414,115,780,330,282,368,135,036,052,907,809,893,413,748,999,529,
204,717,455,087,687,828,049,739,670,483,039,791,504,754,613,072,888,606,736,
366,243,931,622,473,932,099,187,224,076,370,280,526,057,429,039,271,884,379,
905,505,280,745,133,305,273,099,622,590,912,134,419,948,376,260,900,514,761,
769,162,699,769,195,655,881,791,834,740,571,699,236,568,192,870,871,519,156,
658,063,074,778,459,952,606,786,148,487,713,090,325,292,546,517,375,609,146,
087,898,728,262,890,379,182,918,331,495,770,327,615,061,642,632,466,765,580,
128,282,380,162,673,840,075,464,993,245,018,498,095,767,962,161,682,059,478,
874,354,895,096,802,902,930,142,987,951,502,194,981,115,885,347,542,724,926,
435,544,998,530,131,958,048,357,402,283,340,076,727,152,407,582,582,826,633,
703,762,572,905,795,393,965,322,985,776,510,407,473,845,978,002,930,088,033,
019,500,037,170,374,774,362,991,906,414,377,381,626,947,520,738,285,195,062,
739,718,257,654,262,608,050,169,137,787,235,079,592,832,240,170,908,665,658,
788,608,767,359,825,567,928,696,923,614,787,251,919,868,849,452,683,452,047,
272,464,552,568,359,989,489,545,616,621,317,315,068,315,258,407,652,462,073,
572,789,902,795,263,896,302,907,403,657,581,075,001,552,287,307,168,433,242,
993,616,952,007,521,850,886,500,532,119,542,074,227,434,099,285,770,779,950,
892,226,831,427,005,860,403,216,344,154,630,121,425,021,881,230,975,017,303,
131,027,168,807,492,316,850,615,680,802,543,959,156,200,029,191,816,291,820,
697,069,094,909,755,220,905,800,210,604,764,757,900,501,938,765,027,006,370,
633,008,108,107,091,393,890,632,478,575,149,676,559,756,567,208,633,819,627,
223,285,058,845,650,288,637,824,300,038,858,843,635,560,018,848,646,111,361,
956,433,132,491,361,915,084,377,614,548,228,954,268,039,470,988,282,769,731,
189,763,285,173,205,994,737,594,812,200,678,654,112,451,720,685,181,295,796,
667,556,536,193,196,724,938,785,744,711,643,348,745,532,578,419,671,355,874,
148,463,306,912,150,688,725,991,511,783,342,621,983,792,549,203,055,864,773,
031,189,737,505,828,572,545,201,697,986,640,290,151,361,350,457,698,720,538,
742,393,990,631,148,128,988,738,017,364,468,629,152,070,874,551,890,549,750,
717,378,887,944,037,538,964,064,884,921,359,857,489,222,107,401,083,099,870,
501,369,465,487,304,873,932,559,853,971,707,228,043,751,454,256,676,218,054,
759,605,387,410,483,551,109,670,040,027,658,947,904,996,164,945,014,086,778,
380,546,226,257,470,359,958,948,500,800,398,060,177,641,331,854,783,366,710,
095,963,460,256,059,028,034,894,209,183,161,511,235,215,185,434,247,510,559,
305,025,275,015,802,707,803,206,362,979,190,099,129,876,837,725,830,914,035,
281,863,857,045,757,736,491,133,830,877,895,861,534,253,720,082,684,935,180,
835,529,236,857,893,341,046,602,843,358,199,222,058,302,027,052,650,826,079,
615,541,251,463,046,334,483,956,608,198,107,307,383,760,507,723,324,467,791,
979,382,987,109,668,925,652,832,633,451,175,013,418,051,267,046,187,145,001,
823,931,620,172,111,915,365,738,877,754,740,585,712,510,321,417,219,785,033,
095,866,274,106,526,641,384,412,852,065,780,270,960,928,769,085,632,489,486,
941,119,120,566,512,874,528,320,307,118,478,201,864,671,986,732,148,063,251,
468,485,740,724,183,748,385,797,521,770,668,660,591,230,372,491,332,146,084,
271,646,067,474,204,324,301,428,470,796,331,190,627,630,958,499,433,695,839,
246,660,409,124,453,270,938,717,090,898,956,881,609,840,807,183,579,602,294,
402,897,408,745,222,726,964,577,404,096,593,954,924,160,893,116,485,999,729,
267,442,126,880,061,783,276,265,383,806,010,826,575,573,358,019,768,720,769,
017,747,272,474,197,618,824,059,763,759,798,713,301,960,243,709,172,642,071,
032,575,346,871,409,694,618,218,692,428,348,622,806,952,138,945,602,385,438,
954,618,016,744,837,636,275,872,536,785,304,682,605,542,273,763,455,848,209,
263,757,436,754,527,978,486,708,729,004,085,382,623,663,911,438,719,897,603,
119,881,600,955,261,726,858,696,805,628,473,147,305,389,337,917,899,307,733,
858,744,356,804,187,323,380,109,277,230,808,523,655,499,048,209,839,332,202,
289,283,322,149,610,988,514,275,938,054,473,872,952,533,054,269,015,280,243,
907,737,721,669,853,624,564,253,655,014,263,431,328,067,605,456,857,912,872,
009,388,000,561,262,233,750,884,102,387,555,143,241,062,871,694,728,925,452,
799,824,175,910,587,587,213,176,575,088,898,175,655,196,435,257,492,178,451,
676,438,860,450,003,209,488,186,722,992,547,847,913,054,593,981,686,540,186,
364,972,765,561,115,492,251,494,423,923,323,582,817,656,466,295,751,849,118,
506,499,511,104,344,632,617,729,335,813,289,450,100,703,727,396,393,836,178,
100,868,953,033,082,684,384,787,838,869,711,937,126,382,314,392,226,625,746,
683,567,108,295,064,977,290,229,203,827,969,930,556,918,920,291,394,238,612,
554,294,209,657,271,184,004,142,685,725,831,082,309,355,213,727,116,335,446,
712,598,309,931,084,867,751,592,741,146,956,532,126,780,368,053,302,749,489,
867,514,932,174,569,724,434,954,466,538,574,164,370,347,490,316,413,465,070,
801,149,205,540,987,772,330,210,118,791,487,443,072,749,674,152,128,699,100,
439,004,901,302,459,744,296,700,532,996,394,861,801,925,644,314,240,345,026,
191,401,205,050,796,624,789,479,367,198,150,528,969,761,717,442,115,863,141,
321,551,236,699,911,824,402,799,601,977,035,988,047,263,264,776,011,066,403,
647,012,455,667,029,168,997,895,117,831,723,884,194,260,973,458,616,751,790,
931,439,923,001,790,356,746,449,327,916,687,698,676,884,385,958,804,493,990,
667,733,190,277,951,854,935,386,059,247,717,024,417,930,105,139,537,475,417,
693,645,519,984,233,092,383,858,373,600,665,266,974,365,980,450,942,403,382,
450,726,126,115,739,827,738,825,393,168,983,907,233,385,917,702,282,793,767,
445,801,179,638,944,782,509,476,778,654,919,447,189,212,997,226,128,884,307,
795,739,271,361,757,606,717,177,166,308,534,936,296,633,979,504,116,053,147,
360,455,714,378,663,360,303,804,090,648,791,162,971,295,858,109,238,041,277,
620,363,803,006,634,569,604,959,241,031,268,478,172,117,228,673,957,555,909,
397,858,282,292,554,493,238,098,563,625,858,837,254,723,565,466,082,180,796,
029,084,888,904,383,000,096,636,269,962,083,116,544,558,793,554,808,411,418,
590,751,475,902,888,889,502,228,856,809,720,802,368,425,902,569,418,787,224,
051,122,942,244,584,374,823,230,982,247,418,619,193,757,231,235,305,242,469,
124,772,645,520,655,542,356,255,629,192,438,691,217,496,229,993,330,514,827,
179,998,389,395,664,514,931,155,123,787,073,570,906,256,693,603,966,970,852,
224,615,147,157,537,874,786,224,064,278,830,238,582,581,763,448,368,249,139,
974,913,728,502,936,158,007,739,803,592,226,201,644,823,906,372,095,120,659,
154,372,498,787,269,539,570,190,299,223,782,510,861,192,163,573,065,082,645,
834,748,283,317,184,484,333,220,819,921,750,859,736,538,467,433,546,218,008,
383,639,631,322,131,419,179,098,291,118,882,733,443,265,875,737,660,322,263,
267,230,466,625,483,493,861,195,507,611,848,684,379,333,224,359,542,631,885,
489,089,529,146,375,599,769,687,180,389,449,885,997,168,300,988,345,870,063,
230,352,987,248,245,869,059,767,324,999,898,929,155,643,155,152,003,771,857,
495,009,456,019,057,352,969,373,205,504,803,556,638,009,298,506,005,199,938,
940,049,537,037,783,567,942,856,568,830,601,251,906,932,068,560,446,795,736,
715,604,812,537,183,440,443,393,711,311,185,031,728,604,689,739,750,204,361,
489,271,074,540,409,580,800,621,680,310,720,305,962,026,240,723,883,473,229,
005,739,211,897,853,529,150,698,845,976,227,102,864,742,811,492,290,298,962,
848,180,943,878,663,681,576,018,300,675,557,208,335,966,413,914,229,244,331,
514,439,820,191,059,633,382,105,647,884,315,221,640,591,465,885,622,249,484,
727,082,100,525,984,058,605,657,086,760,601,791,158,084,891,995,621,373,885,
109,301,568,391,404,513,022,660,806,544,254,991,457,090,435,789,351,636,621,
376,119,145,175,977,631,102,254,245,093,295,083,731,457,799,117,170,292,291,
456,870,569,708,685,476,228,156,557,737,387,187,543,522,308,000,175,916,750,
061,298,152,521,410,927,893,503,996,914,410,996,961,750,305,454,637,714,759,
247,265,962,887,865,737,643,385,174,637,060,161,189,594,027,240,038,491,441,
912,276,932,166,868,225,924,731,656,308,148,158,049,967,548,134,403,424,361,
619,414,667,509,777,092,944,777,989,247,259,938,837,415,182,947,525,426,120,
224,470,032,909,439,339,659,184,882,624,306,091,653,158,446,352,676,113,079,
360,560,489,454,934,760,406,999,063,048,197,549,648,673,330,593,419,030,077,
219,572,298,236,749,338,106,377,116,536,479,220,606,290,479,292,654,933,057,
845,657,261,739,041,535,769,175,651,796,017,857,972,076,691,495,662,365,515,
545,292,196,065,296,180,451,090,862,345,580,050,635,979,744,609,517,562,292,
650,246,120,938,588,612,668,784,145,879,051,342,721,718,167,259,161,191,907,
902,745,572,403,990,535,701,383,285,573,828,798,918,484,435,658,461,167,570,
877,595,399,318,662,801,627,089,617,099,331,391,237,075,556,124,528,228,786,
786,240,431,492,173,296,017,990,286,306,280,485,290,983,297,072,172,276,595,
940,441,732,492,390,347,354,796,447,077,267,926,678,901,175,115,942,462,462,
581,161,384,995,444,017,210,312,431,108,390,925,035,947,730,880,238,937,210,
275,630,461,031,877,394,721,247,503,696,131,771,261,059,078,813,231,300,027,
176,398,321,792,862,898,649,051,711,600,192,656,284,050,955,834,058,577,645,
114,447,884,431,005,119,223,535,070,643,052,312,095,084,555,894,065,323,082,
465,615,052,161,455,725,743,121,079,052,263,772,192,933,009,592,745,840,675,
213,840,650,080,575,650,480,049,620,535,197,230,895,501,825,230,176,988,189,
960,615,528,017,044,229,415,365,137,652,455,544,161,767,335,649,023,097,408,
998,207,896,641,397,797,072,771,883,872,526,877,134,179,928,114,663,287,516,
484,945,059,840,067,013,044,371,906,763,832,228,695,690,760,659,102,730,261,
704,040,867,260,509,129,477,851,724,260,345,300,371,588,895,541,459,164,777,
287,926,903,953,790,696,121,056,615,636,876,720,018,106,913,814,042,889,977,
607,338,222,039,949,492,609,406,144,817,133,299,402,831,971,718,140,452,561,
624,034,053,723,693,042,329,718,133,901,880,775,143,042,868,449,691,429,655,
353,898,005,049,133,148,533,842,121,696,016,521,020,949,871,080,021,010,084,
666,688,470,395,900,582,631,004,596,041,261,636,200,651,333,264,873,056,109,
118,625,337,675,536,088,249,391,343,005,340,200,873,972,409,729,223,620,833,
178,772,663,593,318,050,885,370,917,404,414,805,565,267,661,951,250,338,657,
432,135,264,305,681,139,936,641,875,074,868,987,361,432,453,167,356,536,498,
805,673,181,752,966,848,875,396,075,733,235,308,618,360,807,770,442,305,409,
241,990,572,360,489,865,071,199,344,841,929,273,614,386,868,818,151,291,508,
120,899,017,420,028,883,319,659,936,006,123,709,495,113,857,529,303,719,242,
253,542,934,850,994,814,704,365,452,470,495,890,875,858,784,489,588,058,544,
434,083,964,981,539,823,291,671,615,919,962,387,045,076,988,195,190,329,975,
862,836,661,490,922,581,085,464,819,602,830,405,684,575,453,537,351,554,240,
232,628,342,640,066,358,324,985,145,222,593,946,828,209,842,037,572,181,537,
421,805,694,477,424,676,082,007,972,768,163,121,994,934,034,729,369,661,418,
703,737,402,654,852,433,827,903,516,110,441,882,058,939,896,824,822,476,934,
893,148,103,225,107,771,513,059,417,464,160,466,972,248,198,210,791,669,990,
119,820,391,903,850,704,428,560,236,422,564,542,479,852,305,574,767,836,205,
577,350,833,018,902,745,374,807,031,234,484,910,315,466,285,943,915,971,763,
543,772,175,398,578,530,672,965,516,088,384,544,059,161,570,349,799,210,986,
407,331,250,196,082,404,582,127,992,230,437,719,048,957,341,130,927,786,645,
898,085,461,737,104,286,516,209,478,754,189,987,804,762,555,638,293,465,897,
175,590,217,730,984,251,537,621,807,752,245,544,956,865,413,235,586,745,668,
938,981,085,920,443,635,784,391,843,155,881,531,407,440,730,253,944,403,521,
184,843,432,217,627,692,588,128,124,551,284,717,918,075,500,545,499,862,517,
628,753,367,001,516,960,842,445,965,901,405,804,525,818,820,363,151,580,007,
457,905,478,730,476,241,349,564,426,348,545,299,736,855,245,465,911,879,359,
666,021,675,275,743,402,999,217,516,030,648,798,055,778,566,417,231,843,095,
892,454,500,480,738,897,268,839,273,799,997,984,923,516,356,449,320,165,302,
983,173,764,591,610,279,679,238,033,461,856,423,495,759,789,417,914,947,550,
824,110,794,216,437,578,016,658,182,898,134,245,480,817,573,208,584,054,242,
245,868,944,135,462,302,138,761,577,151,808,406,800,522,073,408,234,511,211,
083,690,791,233,953,804,000,203,002,447,705,189,456,913,047,048,079,510,757,
879,479,098,008,606,905,857,259,121,905,248,923,305,898,152,480,576,165,318,
353,763,046,049,521,294,023,935,139,174,944,866,355,642,362,104,075,328,692,
845,173,307,119,374,082,082,421,249,575,360,381,480,380,064,982,603,071,344,
267,187,128,152,501,395,038,725,473,728,252,443,417,809,154,126,870,544,443,
528,634,474,083,057,667,343,614,662,294,687,196,020,094,004,435,568,902,941,
553,147,553,612,080,010,651,578,394,877,988,291,906,744,094,835,603,084,503,
300,671,279,813,423,052,272,973,486,718,882,804,658,217,756,323,316,138,568,
934,896,926,047,505,481,581,016,470,449,378,759,199,973,005,012,727,594,595,
090,284,631,304,478,600,737,505,017,199,079,901,345,042,605,926,869,918,371,
199,412,969,553,794,257,752,491,489,564,957,622,140,099,040,437,465,991,339,
758,926,229,064,156,868,348,280,380,982,546,561,864,291,995,043,693,600,423,
056,563,158,761,081,142,171,223,345,113,453,866,352,060,618,735,917,907,458,
565,859,737,132,156,882,160,286,682,426,683,628,684,668,999,636,616,565,799,
571,292,944,079,851,463,121,304,021,211,880,985,824,206,750,880,637,652,959,
397,167,965,839,105,168,033,534,465,911,255,673,430,976,494,379,194,946,141,
943,688,784,389,750,910,513,675,354,902,056,014,666,963,210,016,999,045,544,
955,522,716,395,791,119,396,782,280,969,042,814,491,527,850,167,541,326,662,
872,063,233,176,816,764,136,124,553,132,952,084,893,163,024,512,661,445,619,
957,081,712,252,476,333,984,412,387,961,969,401,374,523,223,075,994,013,373,
630,303,670,935,782,219,125,417,335,848,510,559,741,865,758,513,534,369,637,
872,508,712,739,811,563,695,408,048,880,194,436,221,155,075,468,920,395,899,
806,200,450,243,477,488,383,658,343,181,511,053,869,465,834,151,483,966,711,
352,859,885,994,971,896,166,530,990,017,534,057,857,933,273,885,713,967,903,
268,190,184,283,441,292,303,829,736,273,710,579,709,532,565,401,764,483,385,
394,513,353,659,238,240,815,943,380,303,218,998,900,404,017,251,469,991,981,
175,366,419,480,535,304,582,214,568,937,763,701,646,221,512,845,196,619,325,
079,448,750,314,521,452,897,817,228,128,854,405,813,278,403,631,436,632,454,
720,088,967,722,960,779,077,133,411,342,608,732,926,158,822,117,850,065,745,
905,253,265,538,314,247,736,953,032,936,888,104,232,567,054,337,501,584,068,
651,654,954,044,942,379,780,415,633,486,210,236,597,946,703,653,911,003,702,
887,183,915,431,801,078,410,104,682,748,229,333,356,335,375,437,225,079,918,
775,143,701,661,911,652,793,898,377,325,157,108,369,604,974,151,762,834,633,
504,799,819,711,884,367,285,630,802,889,779,999,903,062,335,645,540,845,025,
418,512,493,946,352,570,265,742,007,383,664,663,040,543,123,616,636,345,100,
905,241,579,512,917,561,945,316,517,892,498,396,739,200,219,034,432,941,139,
459,450,154,826,951,939,201,017,322,451,093,959,890,928,879,826,661,349,298,
577,389,301,560,419,329,380,886,681,410,792,329,891,637,127,044,881,818,423,
215,048,890,686,477,384,767,653,972,253,398,375,476,031,075,576,837,521,869,
538,126,986,031,265,805,683,656,268,733,690,488,191,893,032,803,589,079,818,
786,562,943,122,196,099,773,643,788,863,765,325,859,248,629,494,776,798,814,
541,306,651,560,053,767,313,163,113,868,275,883,223,560,850,507,566,927,837,
312,362,530,576,754,698,485,333,785,448,414,657,578,907,282,857,962,715,057,
036,028,643,946,045,796,347,566,595,506,969,103,388,325,285,312,832,192,174,
949,361,778,758,583,267,119,700,051,659,993,920,828,229,793,200,351,184,033,
421,296,678,640,771,472,005,283,729,760,434,174,494,657,433,664,536,346,775,
498,789,752,057,132,895,268,147,698,831,642,184,858,690,096,336,014,286,710,
574,648,594,644,405,388,020,556,263,982,264,765,829,892,617,025,134,925,365,
812,252,216,922,313,269,061,056,265,032,401,166,910,043,376,289,803,313,801,
464,370,684,370,668,569,149,270,590,376,925,502,016,734,985,268,748,618,619,
777,630,227,440,238,956,738,539,605,025,381,985,178,663,142,515,577,783,729,
959,041,737,841,383,034,516,234,542,821,294,025,362,924,092,973,046,929,535,
234,203,376,665,195,719,801,329,772,319,245,239,563,000,193,769,118,510,087,
262,662,871,123,503,955,719,793,966,597,961,510,783,084,737,663,302,291,021,
523,434,169,113,019,327,485,607,131,205,634,658,937,460,367,428,521,797,717,
708,078,053,098,072,818,187,050,281,551,102,657,804,143,979,421,375,551,717,
653,653,019,941,099,901,018,263,817,633,552,760,780,864,243,664,792,981,585,
591,047,893,694,403,605,929,277,327,395,781,014,972,751,498,247,966,576,374,
314,342,535,758,526,332,817,482,073,028,181,291,481,923,036,957,465,145,110,
148,375,919,018,138,265,712,445,257,770,777,452,859,440,467,885,393,239,799,
912,527,264,798,478,212,293,831,908,158,997,671,417,262,800,723,486,531,617,
600,046,589,495,616,187,089,831,292,269,638,473,672,652,021,247,419,061,175,
148,099,079,366,482,594,166,921,135,465,182,739,577,430,496,172,538,077,550,
538,430,092,379,419,390,489,970,862,530,062,493,939,744,950,702,595,098,042,
692,683,200,522,081,801,651,161,753,122,726,247,846,211,733,196,286,603,605,
227,840,854,253,392,903,052,716,187,542,411,179,424,246,300,865,112,358,256,
365,039,297,074,189,210,984,675,355,461,751,500,493,596,485,844,020,232,224,
658,664,066,669,337,043,667,555,431,110,574,612,782,487,040,036,042,661,467,
569,560,636,634,959,439,869,230,433,036,400,436,221,064,088,914,508,612,049,
982,135,078,051,147,643,535,263,477,951,153,871,268,178,123,371,187,227,196,
028,487,938,081,655,354,593,362,530,244,935,223,759,696,111,237,238,073,658,
340,639,803,177,130,465,456,570,567,902,230,144,629,807,707,610,161,952,097,
695,345,581,389,537,355,558,668,579,583,169,113,249,202,491,568,811,394,741,
182,744,032,244,044,155,533,042,571,276,248,460,680,572,519,511,310,882,450,
017,870,465,035,027,498,241,328,020,381,307,450,447,713,602,236,550,444,920,
131,661,996,166,662,480,073,529,694,605,095,517,202,798,534,764,460,213,361,
500,996,099,999,446,188,005,055,166,035,809,284,855,937,679,622,905,340,570,
300,447,692,638,468,441,236,468,087,803,298,332,455,742,676,879,992,860,818,
745,114,752,890,505,589,814,358,238,158,752,038,640,483,077,317,169,895,272,
471,084,495,281,839,987,201,749,350,769,456,766,358,428,534,377,230,392,645,
146,726,452,059,273,802,886,937,029,016,282,341,706,782,190,571,251,398,464,
608,782,974,662,839,666,086,857,812,501,744,336,074,841,232,876,163,696,382,
219,510,546,350,786,461,372,211,984,157,853,311,116,199,679,935,285,977,609,
460,242,539,689,065,969,052,257,574,279,011,048,933,986,276,000,867,510,629,
162,417,615,563,626,410,285,572,659,712,149,101,925,163,081,237,303,437,696,
548,728,213,704,063,710,666,297,435,158,893,297,200,413,047,102,982,768,549,
806,172,702,293,647,021,948,835,280,474,785,769,992,139,707,149,245,261,679,
299,361,117,756,673,114,665,172,810,492,626,691,886,808,168,835,082,354,649,
107,699,775,122,652,612,634,949,672,418,252,253,408,818,073,283,136,711,091,
317,828,304,863,919,248,614,299,164,026,455,135,564,903,992,506,399,132,257,
742,243,604,967,107,895,770,303,997,958,036,859,068,924,228,097,573,805,164,
238,725,079,978,967,600,106,240,236,548,098,743,891,357,665,340,252,055,968,
074,766,173,176,601,355,061,503,337,589,662,252,708,688,721,013,943,757,796,
234,344,117,808,693,466,568,670,264,188,630,136,202,865,764,907,247,337,362,
616,410,161,147,221,682,138,941,935,928,199,544,407,289,688,649,153,880,790,
001,085,349,694,771,670,331,754,236,634,058,956,747,261,275,092,653,451,985,
128,727,249,226,099,652,797,325,620,024,875,851,579,216,209,178,566,560,036,
174,930,515,418,011,030,024,630,373,438,198,047,695,987,137,356,843,156,523,
011,354,624,442,839,020,326,375,279,820,048,932,991,914,657,671,219,712,816,
716,970,230,452,319,355,947,586,123,180,782,444,533,517,057,377,190,434,900,
142,503,547,899,963,774,314,331,309,069,574,993,397,640,423,818,299,810,835,
879,115,569,524,670,056,541,829,134,294,068,017,318,118,241,218,068,762,105,
004,044,782,374,893,186,750,072,977,010,959,070,812,590,556,100,426,015,302,
760,970,551,445,458,567,656,455,802,708,851,543,776,815,890,791,226,896,629,
896,842,101,496,580,885,853,301,755,119,980,928,192,709,086,548,248,352,004,
147,960,181,440,528,012,366,648,958,521,617,943,877,726,666,689,053,235,258,
477,386,937,104,685,412,003,780,342,598,273,312,767,507,851,340,344,463,125,
830,593,223,633,576,434,481,523,151,927,557,215,667,123,755,190,959,959,913,
922,159,859,420,936,070,148,352,365,679,765,203,816,326,782,678,298,476,858,
817,957,663,823,884,463,904,067,570,899,100,058,406,956,172,205,479,819,280,
008,522,685,401,026,387,105,238,512,342,828,931,715,214,741,992,846,746,405,
024,191,846,334,435,936,100,430,660,121,761,791,662,351,327,468,656,043,051,
591,614,892,715,887,955,207,979,083,329,809,087,259,665,229,833,940,855,451,
269,341,449,726,063,429,473,655,821,375,193,038,490,973,699,404,198,149,466,
852,589,444,052,900,194,311,767,732,434,096,078,429,761,401,177,635,744,968,
341,824,042,302,429,535,739,577,466,313,207,242,491,187,932,757,009,986,992,
870,039,637,788,952,614,291,522,827,584,842,284,694,824,622,996,852,565,847,
273,402,216,047,519,884,289,349,469,457,074,793,103,395,921,030,728,865,823,
893,609,638,342,244,416,174,005,372,450,767,069,055,256,436,637,342,440,284,
835,556,256,730,944,873,478,572,012,049,033,229,484,385,085,094,096,458,924,
810,458,092,654,944,028,618,137,002,592,776,008,745,751,772,358,699,650,927,
396,836,051,133,621,813,614,059,308,325,649,794,694,051,739,640,769,881,018,
217,367,634,100,952,262,224,929,548,303,064,260,728,290,498,111,205,376,521,
061,406,381,107,031,619,286,805,862,993,666,456,674,984,589,841,247,947,190,
061,334,222,760,487,382,219,654,300,885,990,124,508,136,620,965,622,521,612,
654,788,747,260,119,417,548,494,213,127,246,274,147,471,940,864,012,898,637,
372,900,844,167,365,824,926,935,578,793,368,627,061,918,198,876,854,670,776,
117,591,640,113,138,624,094,275,855,167,301,021,650,441,501,939,127,101,867,
265,563,030,738,478,567,032,364,885,745,717,566,268,484,615,997,776,091,388,
908,768,831,155,928,251,664,695,896,275,501,836,215,017,404,858,789,325,044,
281,062,469,547,290,045,474,561,132,956,169,221,880,266,612,227,607,237,055,
328,448,656,063,285,779,766,170,375,293,796,606,056,046,825,254,617,035,094,
139,883,465,465,168,906,071,172,244,225,889,390,562,292,114,820,367,780,307,
582,266,921,496,460,954,259,133,628,944,046,483,706,892,179,026,064,230,199,
873,141,446,995,076,505,400,312,578,341,344,640,079,808,401,742,306,634,312,
085,738,899,345,902,278,626,445,926,098,389,864,368,807,715,695,395,920,896,
293,971,401,653,045,291,387,064,506,393,982,127,257,538,213,500,151,460,681,
630,492,743,497,774,719,861,388,874,965,483,751,907,715,355,016,933,312,714,
555,615,119,364,504,959,098,026,979,972,772,637,602,764,915,725,325,103,155,
297,011,010,404,309,355,300,942,554,240,911,418,890,626,273,201,855,673,050,
792,905,688,638,051,314,486,806,212,334,946,162,307,933,833,373,710,898,817,
248,404,780,394,097,515,029,043,782,467,790,606,269,904,595,420,069,945,894,
530,331,162,517,999,506,522,916,603,598,979,976,911,374,644,625,705,570,894,
753,027,793,964,745,703,554,807,248,851,344,449,302,793,872,629,926,147,692,
996,880,152,930,685,086,538,780,663,959,147,146,989,603,946,077,321,581,168,
096,640,177,346,449,614,485,360,499,726,435,219,524,078,860,000,012,993,967,
509,089,002,212,891,968,232,295,124,967,295,985,004,335,024,938,591,257,578,
650,752,445,257,846,194,858,433,661,426,670,177,095,346,415,848,427,738,253,
030,836,307,774,720,134,485,455,455,579,216,545,529,500,073,157,409,662,097,
968,670,724,256,275,359,574,514,057,498,381,720,523,765,773,584,127,929,876,
682,864,793,936,090,399,308,493,567,230,304,884,913,080,371,071,231,692,474,
659,330,046,126,828,316,182,607,763,951,250,499,497,670,444,977,311,890,318,
087,425,488,891,983,026,670,383,567,584,464,633,962,562,585,387,370,130,507,
929,663,450,661,930,089,815,306,675,056,983,901,007,966,804,410,901,745,784,
632,751,476,059,876,702,309,243,118,800,436,727,427,067,627,090,108,994,961,
625,007,763,807,308,759,067,085,640,530,592,262,762,616,759,651,839,248,382,
558,864,026,644,137,738,453,375,909,160,051,941,663,890,511,992,109,825,138,
720,131,304,851,243,658,683,133,239,085,237,574,307,178,904,863,232,001,001,
435,022,990,839,770,810,158,112,007,381,675,835,159,731,379,807,019,793,283,
732,119,623,807,626,995,997,774,403,408,480,193,073,930,697,995,372,382,257,
426,100,686,875,095,476,755,044,944,508,497,582,531,533,650,527,945,422,920,
082,600,267,055,338,248,540,775,581,398,015,489,911,317,551,022,917,517,299,
515,825,006,459,687,077,875,900,605,000,322,926,619,638,623,048,680,487,680,
998,360,924,677,010,229,259,820,478,821,373,003,363,354,626,392,515,911,514,
572,583,531,748,577,727,303,179,099,290,753,265,031,373,237,367,196,874,181,
925,782,778,104,984,339,357,133,095,535,874,164,407,144,835,539,478,086,502,
117,942,537,463,283,708,008,861,388,524,624,396,739,010,479,007,362,433,269,
013,646,754,778,731,202,754,930,411,304,905,256,170,073,945,742,797,196,200,
014,053,129,305,060,826,543,956,794,939,519,359,422,229,931,413,770,731,636,
434,438,312,506,562,177,737,244,351,272,779,682,119,653,917,559,162,634,485,
519,698,501,437,151,948,764,334,231,642,983,870,475,991,881,993,227,033,848,
602,202,465,153,162,910,340,752,314,789,566,242,041,200,999,036,364,462,813,
425,245,856,188,970,025,835,151,061,349,394,117,971,889,076,004,529,846,556,
593,126,900,624,671,016,361,773,410,743,848,093,984,154,316,723,992,641,201,
363,879,763,343,307,928,940,616,846,048,402,829,378,242,462,947,623,392,480,
555,687,614,353,759,592,308,232,075,688,486,562,875,522,703,779,041,363,446,
290,184,603,106,559,638,830,676,910,905,602,418,509,812,355,172,590,010,004,
198,977,267,391,046,881,998,386,973,921,942,799,866,746,723,436,059,972,884,
306,402,398,170,100,345,752,538,136,094,791,675,465,114,448,618,138,270,225,
430,883,366,202,499,207,799,236,410,311,920,091,467,725,557,424,191,982,470,
790,385,870,989,170,451,449,527,624,735,666,004,030,953,374,162,291,385,795,
908,952,787,079,892,878,608,053,251,567,729,822,451,268,212,732,855,621,224,
814,867,966,674,570,772,864,592,525,796,115,017,807,632,488,637,884,535,875,
071,273,285,513,504,415,878,888,864,838,410,260,592,114,876,757,135,166,288,
102,727,309,553,813,667,557,712,804,085,730,410,734,061,551,334,753,034,182,
804,791,580,330,682,129,855,716,544,972,599,104,383,512,225,687,842,843,156,
869,588,409,439,961,424,449,222,202,885,449,511,251,738,706,093,912,458,992,
147,632,084,215,807,325,690,556,780,851,785,499,172,739,734,301,654,245,631,
993,471,780,343,646,065,031,064,098,542,779,860,152,239,985,514,693,425,120,
454,248,928,351,698,307,835,892,515,276,297,677,224,924,165,126,283,685,503,
745,310,080,885,043,562,994,743,025,723,255,477,123,274,767,050,426,652,765,
115,478,803,666,837,629,136,003,882,262,851,405,750,263,622,102,711,971,564,
358,178,707,743,974,339,507,001,944,409,999,533,002,881,094,342,566,973,747,
104,589,148,635,842,963,079,154,732,992,249,003,450,996,238,791,166,043,723,
433,517,812,245,061,224,403,366,452,931,361,698,967,346,030,665,310,734,768,
992,171,847,070,082,728,221,241,832,251,590,076,694,047,961,571,461,852,965,
831,808,706,504,793,489,280,115,599,979,546,979,568,782,149,416,866,272,520,
384,542,665,551,046,511,715,659,177,123,743,680,014,823,819,410,025,277,432,
103,581,417,242,112,093,328,003,233,159,276,481,627,393,995,074,831,453,390,
316,871,932,491,928,137,623,809,002,786,448,274,638,821,690,548,654,930,205,
074,050,008,308,471,460,580,201,723,432,480,346,446,030,647,165,695,120,096,
156,695,350,273,998,605,558,893,090,872,164,608,781,573,544,306,901,020,852,
277,977,008,380,892,757,440,997,492,534,958,217,915,073,302,804,508,404,965,
639,956,899,382,337,898,811,126,388,568,803,258,176,369,726,569,725,863,272,
635,471,009,049,393,379,888,225,131,665,684,841,036,449,956,597,792,066,796,
886,477,794,482,382,888,194,194,726,911,700,009,588,563,443,369,479,136,937,
564,989,091,665,999,281,645,020,300,055,716,328,080,453,611,289,548,891,467,
743,988,050,594,830,712,755,255,252,555,331,630,069,534,291,388,659,553,407,
420,095,176,532,047,094,525,727,187,973,489,994,446,735,299,419,964,032,068,
936,967,868,834,196,118,747,740,307,530,945,873,843,731,581,628,163,623,690,
076,193,381,178,515,432,364,655,861,183,843,118,196,257,920,586,069,731,846,
319,282,927,975,409,794,421,374,593,149,586,632,472,830,121,996,540,750,065,
913,144,910,346,901,518,695,344,749,428,254,374,003,368,277,150,078,705,342,
466,337,097,655,209,971,031,243,900,722,633,922,003,211,930,391,956,833,601,
497,064,186,265,533,994,450,290,600,919,211,096,495,845,150,922,979,315,701,
498,089,396,958,319,827,521,622,590,020,144,203,082,791,116,229,170,429,178,
904,107,936,510,547,148,471,812,438,857,159,229,939,667,381,782,522,091,427,
354,014,509,289,766,235,934,870,397,594,423,150,639,087,864,448,448,365,694,
274,495,071,122,196,711,356,110,962,913,437,342,653,676,587,033,914,938,744,
283,928,762,375,337,196,908,042,528,374,814,016,739,117,281,545,785,763,371,
295,534,262,095,014,884,884,500,398,194,773,577,009,867,491,509,213,027,313,
470,592,700,295,142,256,677,886,594,689,490,917,634,459,003,567,661,490,754,
761,025,066,530,407,624,303,814,040,049,868,888,314,798,426,479,871,554,023,
387,640,265,045,758,417,604,638,603,067,274,959,801,077,808,855,530,917,932,
553,794,895,400,259,318,927,224,879,140,096,212,342,109,133,361,694,297,118,
351,145,652,866,019,220,070,514,341,228,731,431,825,589,488,435,539,756,515,
794,427,373,458,474,350,837,089,258,149,100,524,116,332,952,333,343,686,512,
745,681,267,348,159,722,303,633,803,996,280,395,944,503,122,678,849,200,806,
308,570,747,975,590,663,281,949,046,673,343,434,285,951,872,983,460,401,208,
142,751,387,491,376,124,472,289,120,061,348,880,196,540,792,628,576,865,377,
623,618,160,924,255,494,372,530,961,266,669,684,246,641,752,652,825,753,045,
867,944,635,935,268,143,699,231,298,392,704,804,672,187,108,594,775,916,929,
827,344,042,313,673,673,771,477,226,267,007,961,864,811,229,992,090,133,853,
902,150,174,737,959,187,762,301,492,652,650,604,590,682,391,733,362,721,368,
112,590,585,852,288,213,562,547,996,025,187,559,983,984,374,263,595,950,900,
674,819,800,460,354,380,063,032,899,579,017,886,055,836,210,075,045,004,671,
063,604,552,274,636,229,785,749,544,202,495,188,878,756,021,405,628,776,021,
155,842,783,093,851,720,672,446,120,007,744,392,851,253,936,294,821,033,768,
629,573,677,722,019,230,517,620,668,413,894,308,003,196,557,202,678,257,252,
551,650,448,497,487,608,183,341,562,283,210,294,306,174,240,696,499,015,383,
665,115,891,337,328,865,675,882,293,578,406,113,033,055,250,920,783,545,442,
360,176,989,336,706,384,009,108,133,449,281,905,768,499,177,844,197,676,185,
522,549,652,803,846,970,424,603,541,993,859,472,362,040,086,103,314,971,949,
500,132,873,497,554,036,239,915,584,477,489,136,498,002,269,825,351,698,559,
337,937,745,304,833,690,915,548,293,291,388,692,742,275,023,256,110,957,400,
104,781,891,802,330,113,277,923,434,287,040,358,726,196,884,881,198,649,314,
002,134,620,357,515,009,393,390,992,678,677,630,123,680,816,467,959,613,104,
853,631,237,746,708,920,744,931,735,839,524,407,160,872,663,100,070,116,038,
550,496,988,256,525,122,879,467,829,091,100,724,365,026,509,354,742,070,609,
132,108,446,912,469,725,650,318,871,075,488,425,650,991,231,858,018,195,544,
938,481,204,989,753,666,366,284,660,172,805,658,612,678,860,011,149,682,835,
449,262,890,151,435,084,349,691,833,080,036,916,237,525,827,130,882,694,578,
199,812,668,673,051,496,667,541,853,748,021,207,848,857,198,831,470,059,486,
393,007,320,621,934,355,783,813,612,539,734,777,169,750,498,929,620,088,383,
299,548,982,173,397,497,650,747,531,950,331,135,714,155,573,728,866,629,162,
702,560,833,385,836,862,228,170,227,366,959,240,048,722,698,334,121,950,248,
653,897,188,498,199,471,457,871,643,706,048,003,320,052,600,107,431,563,448,
080,203,157,192,518,640,146,226,348,971,702,748,361,109,913,759,563,842,908,
101,563,137,381,458,646,359,649,093,907,728,519,520,623,108,065,406,763,085,
520,908,700,685,029,980,498,637,775,494,413,217,374,719,631,556,791,870,392,
087,994,159,902,895,998,561,427,117,574,353,282,284,104,951,877,557,093,629,
654,498,391,186,605,975,982,770,674,845,397,595,650,136,991,153,384,607,714,
992,102,335,298,510,034,717,386,634,257,420,324,071,670,655,037,232,451,837,
398,885,040,797,883,197,363,921,120,886,238,279,029,193,667,334,990,637,851,
511,350,586,492,842,827,245,356,798,145,228,932,728,552,192,567,339,817,851,
136,883,197,535,910,184,461,517,622,959,686,387,520,673,601,424,005,551,922,
548,522,509,081,579,110,684,179,998,764,244,760,185,556,443,255,233,873,264,
161,861,606,987,899,719,614,985,896,951,581,831,288,954,692,245,129,588,968,
438,879,552,348,057,930,050,163,433,280,997,535,684,703,638,725,392,499,123,
216,978,654,811,537,466,249,572,942,333,049,413,628,058,686,555,714,051,289,
793,012,148,467,669,646,015,812,232,044,865,543,262,034,522,192,060,334,292,
707,650,373,033,785,866,610,876,603,041,890,992,541,556,052,609,319,344,049,
961,672,728,936,872,627,531,384,895,030,005,084,646,328,905,987,028,574,324,
811,496,338,413,215,493,229,165,015,284,406,372,717,392,106,011,476,560,725,
938,350,931,725,335,475,794,075,520,538,201,037,203,747,818,971,238,016,017,
184,412,806,030,716,972,558,443,918,815,116,168,606,396,158,303,169,122,699,
789,870,197,509,975,981,610,908,931,416,507,614,956,032,312,561,430,093,050,
935,008,399,095,673,100,010,719,574,164,958,308,843,067,878,729,462,218,034,
367,968,981,399,504,633,503,362,702,260,162,416,760,324,537,637,952,843,945,
875,251,014,179,319,446,241,293,581,393,353,653,526,291,101,213,680,634,315,
729,449,361,881,638,053,053,655,628,497,874,092,459,130,739,447,821,602,872,
872,443,025,963,475,212,902,255,466,239,642,081,715,554,527,440,722,705,336,
079,015,431,768,799,649,135,876,738,345,977,774,890,754,779,877,943,170,241,
581,454,758,486,250,480,306,201,777,755,204,021,798,463,024,255,552,288,422,
925,858,377,315,143,171,287,038,778,747,693,257,734,027,397,197,062,291,071,
876,932,654,525,380,724,768,812,798,944,438,485,260,521,715,214,454,131,322,
071,081,729,210,749,434,836,674,225,874,101,788,401,458,622,426,088,417,434,
143,894,318,537,234,048,827,642,291,146,905,542,691,173,036,465,878,296,586,
964,899,870,109,727,021,169,811,013,744,726,370,672,310,405,966,946,576,287,
804,603,132,808,140,385,094,793,532,297,442,390,207,577,988,928,371,574,561,
741,208,285,266,164,117,036,538,699,653,727,315,935,452,878,565,394,458,840,
798,890,942,227,003,111,183,518,621,836,198,386,951,692,752,575,722,735,447,
419,401,923,227,095,697,624,680,992,880,633,472,948,210,276,493,661,629,351,
987,260,565,420,606,571,562,572,443,003,235,834,264,035,363,286,904,072,881,
582,661,253,574,021,627,588,795,111,874,595,681,599,812,242,979,203,442,107,
956,182,972,548,456,512,576,453,850,007,785,522,466,955,681,819,060,084,531,
505,317,305,995,262,601,021,278,519,363,048,050,229,500,719,963,300,245,970,
040,864,460,582,388,859,394,368,312,426,290,627,225,879,661,304,521,638,185,
874,904,246,809,275,523,668,811,389,626,328,430,353,937,803,137,603,294,178,
530,833,301,498,035,650,855,388,113,830,797,089,933,514,134,882,139,085,160,
525,116,006,303,203,741,021,441,072,255,008,598,395,592,604,142,538,223,383,
167,387,548,015,932,893,120,674,422,351,657,903,320,328,201,456,698,502,408,
327,622,518,893,070,364,749,913,198,729,174,741,332,572,963,643,468,939,782,
637,133,828,247,199,920,614,867,664,790,562,227,513,734,717,527,117,642,156,
845,753,054,612,304,003,861,217,827,270,644,365,560,186,202,211,930,931,329,
715,068,896,047,944,531,615,751,765,622,269,702,048,136,317,933,231,162,313,
194,692,430,700,850,501,249,998,792,803,993,892,365,061,086,944,063,278,524,
697,140,104,626,209,312,308,692,044,694,455,567,868,944,045,599,282,231,468,
578,766,358,565,782,769,799,604,568,149,545,194,402,885,982,997,547,807,207,
243,650,912,810,203,148,611,975,217,868,565,739,431,447,923,443,880,418,166,
434,155,719,972,941,715,535,156,452,455,098,661,612,438,120,172,528,941,369,
531,009,045,061,743,447,957,871,899,443,005,170,676,804,851,519,354,851,311,
202,644,217,822,915,982,106,223,094,428,967,527,844,304,619,068,992,905,417,
046,111,241,346,664,201,112,329,488,253,612,421,837,215,658,971,349,418,831,
238,608,243,865,325,061,541,582,033,710,262,678,969,643,096,912,347,110,095,
815,870,344,048,947,780,159,763,451,767,322,414,340,856,992,989,240,544,350,
572,288,738,347,134,556,935,748,664,049,519,698,422,845,978,271,844,233,964,
261,501,502,101,254,610,438,669,807,285,925,657,775,361,096,902,358,278,356,
730,387,035,200,693,352,086,791,076,359,505,495,266,926,241,361,579,882,758,
298,734,026,660,103,741,738,810,667,767,156,285,444,512,595,172,775,846,945,
019,591,724,903,528,059,429,243,194,596,692,633,707,968,503,773,939,873,307,
528,201,826,647,658,142,434,621,022,339,827,299,149,745,924,292,779,365,568,
226,851,240,391,303,306,435,610,364,031,168,611,003,537,626,400,163,483,086,
280,379,153,816,505,373,785,914,662,844,433,348,790,975,044,531,348,240,642,
528,578,513,793,867,438,673,283,068,257,764,580,256,468,903,956,258,648,084,
793,226,006,840,194,771,642,053,386,509,521,433,339,613,323,895,815,789,705,
568,470,490,119,143,079,068,257,082,716,489,318,124,056,178,338,850,625,929,
224,760,079,808,841,023,079,715,538,866,294,999,236,541,341,811,319,399,919,
785,265,451,526,384,383,667,317,176,000,272,040,891,240,161,157,260,072,016,
754,330,990,416,484,384,259,457,769,897,172,467,900,924,546,416,771,536,643,
259,482,725,127,177,882,598,833,842,136,181,345,427,668,521,756,278,809,390,
791,994,338,958,642,373,806,921,225,536,179,784,854,222,983,707,875,762,757,
891,346,805,922,839,139,011,505,859,837,691,798,079,613,079,002,072,087,090,
500,126,769,626,191,853,218,846,877,054,421,412,748,522,486,496,153,363,671,
675,939,530,548,101,681,067,171,694,808,088,345,476,450,750,616,030,163,315,
059,850,061,844,957,151,906,955,584,837,156,769,530,692,054,297,704,188,050,
862,172,546,349,220,720,503,037,299,734,789,137,826,494,279,913,931,101,293,
225,853,313,862,125,944,792,472,851,706,034,862,716,594,579,691,021,805,788,
049,172,370,236,321,886,959,648,170,324,165,877,477,269,938,077,000,137,043,
426,506,611,916,858,353,689,516,999,109,378,704,495,086,106,735,213,307,052,
280,241,713,040,026,071,973,447,205,526,441,960,723,966,446,948,882,834,056,
814,218,509,119,162,126,313,558,743,504,175,092,039,730,323,741,398,447,016,
892,633,909,295,368,305,983,171,142,731,452,566,634,052,335,199,297,073,585,
445,138,399,130,944,178,764,217,472,237,176,336,472,689,390,098,661,400,684,
178,009,539,718,304,349,445,372,693,344,318,077,956,070,289,638,290,935,135,
393,044,249,686,458,480,874,210,209,475,300,083,675,098,930,164,886,379,255,
180,459,653,579,239,060,347,996,434,075,706,829,763,571,053,173,246,609,815,
710,174,445,282,531,095,021,245,679,056,132,654,061,523,277,683,079,350,718,
755,837,551,807,812,157,852,944,447,354,954,363,633,555,991,714,453,519,427,
495,593,445,130,088,492,315,812,611,615,724,077,497,842,691,650,285,467,114,
780,186,007,658,825,333,803,050,618,152,858,889,409,652,831,831,619,447,758,
087,951,932,256,622,100,308,844,033,539,021,702,256,718,903,282,687,280,843,
127,643,945,974,739,052,017,324,426,443,024,750,519,930,996,272,207,936,570,
506,920,106,211,268,397,438,316,483,221,989,051,750,118,701,440,275,565,131,
532,512,504,482,121,351,992,311,753,740,322,799,989,112,980,732,970,512,073,
447,732,880,308,132,653,233,931,389,701,964,501,901,100,300,873,104,114,333,
271,752,668,564,784,783,377,683,440,615,316,498,145,684,830,450,014,422,454,
232,376,544,392,761,336,699,183,791,144,079,741,971,591,229,630,368,998,940,
786,294,639,492,528,420,465,497,864,297,866,656,665,645,152,870,880,477,376,
816,499,270,285,365,215,276,693,031,845,625,942,247,995,173,412,398,784,444,
022,776,546,591,304,798,845,631,591,825,635,491,568,627,430,905,203,659,713,
258,256,651,200,059,260,959,307,855,460,042,766,888,525,658,020,654,717,661,
443,841,503,421,755,939,037,327,226,979,178,816,569,603,088,973,876,249,345,
167,972,203,544,535,310,109,865,760,208,518,971,918,744,874,216,876,261,394,
413,359,712,212,015,192,633,041,377,097,164,702,953,925,851,973,187,531,590,
228,256,436,010,978,560,574,954,612,531,261,058,427,196,900,387,835,156,489,
788,794,855,933,504,993,633,365,475,188,262,737,123,780,749,350,000,458,494,
187,304,912,042,228,894,384,649,569,541,379,999,086,846,466,019,983,123,140,
784,852,207,868,762,911,971,080,217,809,638,692,323,453,776,159,921,895,819,
886,125,986,785,027,885,521,420,580,820,560,520,632,324,273,139,332,977,379,
701,271,809,698,927,506,937,351,376,245,987,537,705,444,167,079,115,821,417,
241,961,216,553,203,055,660,352,125,873,160,619,151,789,950,946,697,193,889,
222,951,830,508,985,394,795,896,842,871,710,633,128,937,256,272,828,138,007,
360,495,263,967,751,848,735,895,499,298,457,149,063,696,104,138,451,650,733,
681,493,963,600,045,290,473,329,183,731,365,848,669,697,432,917,971,031,217,
786,150,415,460,414,753,349,098,916,754,219,058,973,572,684,637,912,862,667,
264,677,384,657,692,507,320,173,884,359,903,739,220,004,911,867,667,968,818,
082,397,611,587,052,382,930,499,045,340,474,246,821,631,476,268,315,644,751,
418,602,236,106,895,532,081,411,994,283,847,204,265,719,855,020,163,496,566,
336,791,992,018,744,171,265,433,728,227,173,260,251,633,689,424,473,649,163,
283,146,361,159,970,377,853,055,133,168,260,726,611,798,422,615,905,314,157,
661,936,831,579,559,154,654,011,641,495,628,206,893,390,492,813,526,153,849,
472,808,509,887,156,698,403,000,959,852,034,134,603,554,691,359,553,591,223,
009,314,776,757,145,768,416,307,834,534,020,588,179,317,805,093,549,294,592,
962,110,804,997,164,446,661,428,180,690,985,503,674,903,677,190,499,594,307,
457,657,514,428,751,476,036,310,670,877,218,477,472,737,048,511,578,984,453,
846,213,766,597,144,455,296,732,492,121,980,612,631,497,018,080,366,754,478,
843,887,273,618,485,258,317,620,957,624,526,607,826,832,749,097,927,214,524,
498,644,945,995,756,909,931,055,800,597,459,884,970,113,742,266,038,033,397,
670,433,138,306,812,735,632,405,208,037,535,474,145,493,635,944,314,266,237,
923,883,729,020,242,044,830,442,961,040,631,504,033,203,418,252,966,384,303,
031,804,842,954,694,299,823,888,546,831,368,193,264,943,390,769,085,597,742,
016,143,095,447,154,591,508,314,178,914,802,621,715,640,501,567,313,318,130,
143,140,501,580,897,823,822,892,778,284,120,035,856,307,652,712,353,071,118,
168,764,280,844,811,009,661,462,734,982,955,752,850,488,026,517,273,188,550,
231,685,815,683,198,956,784,280,399,679,023,104,315,395,690,385,706,149,165,
450,023,882,710,112,427,958,374,270,979,920,255,584,543,657,264,284,360,739,
153,832,348,794,183,788,837,289,605,344,759,311,124,148,906,522,690,106,851,
320,192,231,968,293,290,060,081,647,724,204,807,671,715,664,051,783,619,722,
878,231,109,011,530,913,074,002,893,265,326,353,054,889,276,373,715,129,922,
293,543,564,833,357,346,078,841,706,036,075,597,989,470,684,505,158,278,642,
437,843,074,647,560,592,472,760,691,339,778,900,065,555,141,930,716,728,865,
588,281,498,908,862,474,672,775,732,614,033,016,852,472,059,684,978,809,687,
335,615,386,051,714,630,473,913,488,360,843,987,650,057,784,666,910,926,536,
171,272,824,548,343,871,715,418,796,387,292,573,450,002,138,702,778,588,384,
863,702,625,407,343,757,381,895,009,153,595,519,069,163,994,650,950,772,864,
949,950,735,032,894,521,059,484,945,839,722,688,225,013,302,245,370,909,249,
346,433,843,067,617,161,120,253,098,731,294,694,336,219,824,746,954,573,517,
004,877,693,009,313,274,163,279,052,534,174,675,969,288,069,166,676,275,216,
861,924,261,425,452,399,099,348,479,215,230,489,845,233,854,914,351,781,111,
454,212,110,162,989,206,328,339,650,973,057,568,985,857,819,697,293,988,798,
709,736,138,939,792,691,440,268,381,430,395,825,002,711,140,165,589,718,956,
196,344,504,058,751,766,083,411,212,691,489,614,736,502,289,294,856,730,581,
064,593,223,242,141,888,853,184,500,484,255,012,407,496,108,241,240,377,671,
732,472,108,858,334,285,706,980,313,942,574,772,794,527,169,031,280,557,083,
399,437,852,473,233,361,941,966,853,937,749,658,409,622,076,043,850,786,399,
900,386,449,948,870,403,435,658,841,597,849,340,786,774,594,790,908,087,815,
126,896,996,885,026,668,322,332,909,524,081,154,198,777,437,238,935,916,510,
451,484,277,295,374,138,869,612,795,972,973,737,347,038,102,915,015,007,953,
256,619,541,380,526,695,221,091,030,781,343,883,709,056,493,872,668,118,549,
407,356,076,102,179,689,860,485,458,185,426,419,727,135,587,292,090,830,623,
175,947,424,310,289,713,682,891,971,621,516,055,971,525,760,563,597,187,161,
805,264,374,471,138,148,072,814,698,879,857,894,463,718,655,349,028,328,101,
760,263,611,108,049,586,103,477,075,792,069,185,334,125,862,702,286,108,245,
330,750,369,377,522,699,978,000,368,867,413,646,734,447,349,843,674,975,330,
974,231,476,691,307,699,715,207,754,771,356,149,026,952,975,028,479,918,021,
365,103,696,565,089,972,442,527,488,028,676,569,086,225,377,385,538,396,915,
567,790,715,736,810,870,929,727,334,057,372,889,571,169,371,806,971,051,427,
827,188,997,779,740,129,195,065,306,528,441,554,696,091,339,788,169,248,519,
231,890,671,773,874,676,965,133,069,371,460,016,777,814,783,392,633,563,006,
007,163,352,143,740,408,370,818,187,458,609,560,241,476,812,204,861,689,628,
739,769,807,033,452,066,885,593,500,280,156,930,241,936,816,693,753,510,699,
611,104,569,649,983,397,351,201,209,033,197,510,137,025,162,601,413,375,147,
236,704,682,830,606,530,148,778,398,122,895,576,723,845,551,057,097,390,734,
628,155,208,146,885,522,028,042,612,264,959,704,559,840,781,174,404,537,697,
844,918,676,356,415,541,280,097,288,786,757,544,928,281,579,016,939,268,138,
316,331,566,216,918,910,150,143,443,823,861,684,119,046,698,866,965,712,710,
570,943,596,485,153,303,443,916,593,338,822,132,149,247,646,175,244,261,344,
353,601,753,111,017,179,673,595,150,873,601,623,537,642,412,798,965,963,278,
479,450,498,657,379,479,603,158,588,659,513,897,090,773,566,357,461,079,373,
117,693,372,683,275,454,361,212,808,271,190,234,931,254,330,261,486,385,353,
419,566,332,803,200,276,286,542,973,861,281,071,096,503,300,789,512,981,267,
045,001,631,647,924,842,356,752,142,264,159,001,604,486,754,080,419,434,230,
724,333,932,043,372,508,542,678,352,955,203,485,200,541,457,652,984,953,939,
419,343,090,984,238,619,435,346,058,016,251,715,987,765,693,544,405,691,320,
330,017,522,131,217,099,776,419,960,968,456,121,755,411,986,805,233,231,343,
474,649,555,966,205,123,013,013,829,020,139,717,410,563,657,004,313,039,530,
333,899,830,110,357,220,769,067,642,128,130,156,873,451,958,887,613,166,668,
976,475,213,895,195,868,029,796,887,052,770,134,461,398,499,662,213,133,785,
305,906,126,143,604,574,270,285,890,700,933,215,351,811,793,436,054,804,531,
565,557,758,405,684,128,131,329,211,342,217,376,743,599,912,451,829,575,612,
922,960,966,843,327,255,302,098,657,215,428,158,612,975,552,653,038,559,739,
409,976,370,597,447,281,288,422,682,993,599,943,265,323,462,650,335,371,246,
653,514,390,661,360,427,160,878,286,578,382,884,209,793,072,179,519,710,763,
140,841,949,841,521,983,002,950,600,372,778,747,562,381,200,082,392,532,559,
044,701,974,499,853,677,375,378,378,023,914,172,465,218,566,716,768,013,566,
726,325,676,624,184,944,361,127,211,428,832,493,576,098,576,739,559,031,659,
690,451,501,600,834,896,140,051,716,408,078,958,145,447,867,759,275,575,718,
647,229,373,402,793,721,300,454,697,866,274,464,017,971,189,900,531,548,199,
245,526,531,596,657,961,571,614,682,228,889,515,418,266,379,238,606,470,193,
379,355,445,797,336,910,258,781,729,548,209,852,089,606,146,382,295,709,587,
400,453,066,046,599,316,668,932,770,382,940,725,424,945,505,096,182,023,124,
704,645,009,920,221,094,897,338,239,865,229,922,935,946,699,263,556,403,259,
727,535,808,759,995,023,514,277,336,865,354,988,163,847,125,616,375,778,848,
375,288,777,220,393,058,850,147,054,495,221,030,093,609,918,119,377,395,311,
499,194,524,317,449,043,159,543,582,354,907,485,232,636,817,720,577,560,048,
459,197,901,326,005,943,629,893,894,934,559,197,033,164,894,953,924,061,482,
571,995,078,315,264,763,435,931,801,438,252,851,648,789,853,647,045,213,182,
114,588,795,823,174,713,855,440,517,734,689,653,268,056,313,698,434,438,367,
887,893,470,553,385,842,708,466,029,490,387,179,276,007,940,781,557,988,598,
809,465,670,047,423,749,910,462,854,765,755,991,085,576,740,001,158,866,718,
487,063,541,971,148,750,454,485,342,170,699,871,570,168,951,986,232,129,376,
887,998,301,548,240,586,356,259,685,018,159,697,419,205,838,965,053,690,703,
739,804,367,712,073,107,337,311,089,443,798,972,876,706,392,845,124,527,632,
439,679,360,370,844,298,389,566,956,247,818,627,411,443,133,547,156,173,421,
296,732,030,291,422,776,721,618,810,259,597,420,456,756,504,695,977,084,742,
858,526,073,958,464,080,519,255,598,733,425,077,510,121,249,697,879,986,484,
843,386,829,348,289,932,259,288,812,300,859,499,164,811,170,535,122,670,332,
842,629,087,362,382,108,177,608,068,398,918,202,661,378,470,781,981,119,236,
164,315,348,620,680,185,950,472,864,265,157,538,967,916,506,372,292,167,008,
482,157,943,556,179,487,505,294,958,388,690,718,040,479,727,111,389,510,311,
441,855,967,589,553,354,896,148,829,012,627,182,407,205,315,220,219,654,051,
936,571,821,407,126,655,012,990,226,179,581,743,986,409,817,390,326,296,663,
057,550,187,107,502,901,745,548,082,253,769,240,303,380,735,878,094,171,009,
470,940,515,617,719,790,592,717,824,880,181,337,379,298,173,159,525,768,350,
766,514,571,789,282,156,968,666,137,675,159,479,425,409,599,158,658,572,204,
423,640,784,990,762,397,135,504,973,534,157,993,717,574,852,973,166,603,334,
451,419,159,294,484,204,170,952,623,484,552,111,097,002,431,694,151,450,597,
794,054,120,785,800,337,764,685,320,434,528,448,842,724,337,908,506,130,420,
862,932,733,480,847,714,170,373,358,241,006,992,839,862,209,367,785,370,371,
529,308,907,924,643,756,899,838,881,800,411,481,415,680,146,792,987,494,032,
698,839,857,630,346,226,553,895,683,081,828,765,581,029,303,782,824,254,905,
230,935,853,053,133,139,346,459,295,698,167,321,675,320,318,492,850,238,018,
648,793,166,330,868,663,625,126,777,315,070,885,364,164,039,775,231,972,676,
920,560,176,195,214,480,282,059,034,035,432,560,266,647,213,973,100,636,316,
382,531,189,149,107,344,914,889,113,162,520,438,372,843,175,790,509,056,617,
609,389,429,706,500,258,883,448,719,917,846,995,457,095,630,994,866,742,290,
180,345,792,640,670,350,789,168,433,071,158,353,758,270,155,041,411,540,746,
027,335,484,911,216,442,510,818,137,980,951,077,386,135,681,858,931,595,744,
143,877,183,843,469,671,965,548,372,835,189,115,620,224,024,893,964,118,345,
325,704,932,438,238,090,684,054,364,805,046,528,305,576,153,417,402,664,721,
911,573,991,835,221,020,978,529,099,042,428,795,225,250,562,056,292,498,869,
536,980,977,289,892,814,364,951,880,956,680,838,187,168,944,429,889,902,293,
922,386,329,092,359,586,369,548,490,108,351,565,468,651,922,725,724,586,765,
075,475,231,063,769,991,712,195,972,745,625,861,103,021,985,573,406,953,535,
841,091,451,299,551,733,340,013,967,544,000,100,083,082,540,949,581,503,434,
370,516,502,920,195,711,909,932,573,505,044,388,402,415,585,679,482,789,747,
756,276,509,286,004,722,911,740,299,050,643,508,468,317,059,491,484,424,406,
665,143,515,539,197,305,863,504,346,851,651,285,273,707,271,365,409,327,150,
232,017,588,856,270,106,410,518,136,106,488,313,046,956,850,953,323,458,096,
849,509,128,784,472,539,692,848,600,485,060,019,601,378,926,514,171,093,545,
623,632,114,776,996,176,266,103,218,411,163,428,799,129,270,381,144,533,494,
000,033,112,375,253,150,131,810,991,658,027,952,617,483,322,508,654,281,816,
366,061,604,597,976,030,140,761,718,879,416,956,531,105,372,953,999,199,388,
651,567,494,692,195,765,699,870,880,384,388,196,361,482,009,895,078,140,394,
177,446,555,893,668,155,785,892,482,076,901,173,845,860,815,479,256,432,855,
299,756,460,249,310,847,556,128,928,796,333,901,343,062,565,841,784,086,929,
744,347,523,480,890,206,809,062,177,019,624,020,343,181,957,945,532,428,247,
829,382,797,355,383,041,047,786,343,105,384,069,562,936,765,693,376,349,806,
005,953,194,484,294,852,968,432,299,833,880,630,974,920,016,292,954,031,053,
401,956,686,326,493,426,483,370,176,855,462,407,065,121,472,402,395,442,831,
006,677,132,717,219,191,499,595,094,429,775,553,425,845,984,574,368,974,051,
471,217,320,922,447,391,338,366,484,302,156,058,533,631,429,050,995,599,873,
331,536,102,478,512,083,121,848,131,487,037,923,429,657,369,666,526,854,813,
606,380,726,488,705,110,783,079,702,292,571,132,271,373,963,060,475,454,064,
671,544,501,119,021,305,412,001,445,594,443,108,896,687,698,937,097,998,789,
108,872,412,358,173,998,735,858,697,633,401,724,305,830,741,035,056,265,262,
318,391,995,182,987,290,779,264,183,286,877,154,406,123,466,360,473,960,842,
374,198,141,768,249,096,995,156,715,863,703,388,791,895,613,409,743,346,955,
238,568,629,852,317,616,099,942,414,424,841,062,984,985,627,134,814,062,722,
345,554,582,593,330,087,427,915,139,856,569,936,624,780,116,876,742,498,167,
266,942,464,127,594,003,738,910,148,607,886,918,722,840,581,616,321,925,458,
028,858,354,361,209,081,826,443,799,933,162,789,023,437,450,282,583,577,414,
753,854,597,648,844,637,449,650,397,830,475,882,462,696,828,602,058,904,558,
343,048,974,211,254,638,256,214,182,435,932,285,852,466,946,530,594,858,028,
528,742,055,225,377,457,133,798,226,696,359,366,422,240,140,116,859,631,783,
827,043,947,120,341,390,927,001,967,721,607,367,055,832,340,977,867,244,761,
681,671,159,099,844,239,954,797,309,532,697,489,912,228,936,974,534,070,119,
839,478,259,409,283,762,472,210,071,934,365,269,560,504,028,076,092,818,794,
560,308,283,656,328,328,380,120,370,184,694,252,125,184,061,083,142,808,801,
895,478,142,002,888,807,649,528,193,594,796,888,617,218,800,501,513,704,392,
035,808,516,313,801,118,786,217,718,209,062,390,236,057,183,688,310,344,400,
846,895,538,835,328,358,525,523,147,062,498,068,270,223,780,652,937,379,201,
473,799,867,754,072,882,268,182,117,371,438,727,021,792,507,940,458,028,577,
003,543,933,063,268,725,115,795,630,817,099,387,516,754,218,436,794,275,170,
136,419,951,349,983,308,015,179,918,274,173,698,442,616,854,271,988,636,777,
946,219,759,299,092,651,974,049,387,519,156,669,665,964,429,053,970,391,147,
115,314,422,088,195,867,114,611,099,228,355,957,252,371,659,635,672,399,218,
468,216,184,239,769,546,863,658,656,322,944,977,010,742,742,805,195,666,971,
258,661,020,015,367,862,566,606,572,938,237,625,571,229,415,068,837,457,573,
225,799,745,791,929,782,277,136,021,243,507,983,367,269,365,569,565,310,970,
031,043,174,781,715,506,511,937,274,690,649,698,668,071,528,331,023,230,772,
671,608,115,426,753,239,149,793,853,434,558,374,683,243,764,903,952,243,470,
465,989,097,060,780,407,860,305,289,228,450,658,158,654,929,994,500,689,455,
696,048,137,847,995,469,573,121,986,242,908,664,915,636,340,638,195,306,927,
519,561,150,293,892,102,582,526,284,783,784,206,593,458,754,939,533,200,588,
477,465,571,674,537,334,863,295,408,878,171,629,809,445,241,015,548,179,045,
276,633,393,302,665,301,503,326,878,080,914,320,459,728,550,775,841,849,322,
757,844,456,676,024,178,128,016,093,110,475,916,344,909,989,556,140,782,471,
045,067,624,946,304,465,437,943,492,247,174,586,263,245,143,259,001,655,484,
395,954,130,040,454,158,791,882,603,685,454,853,650,203,894,348,531,270,009,
166,036,347,836,263,178,367,381,135,019,403,033,865,444,678,727,940,002,569,
348,360,228,186,146,347,387,146,685,183,245,639,198,564,045,902,222,025,588,
587,388,465,395,291,719,535,726,536,364,571,273,305,598,912,377,026,196,179,
239,437,671,813,379,046,662,967,878,646,900,070,138,520,528,091,099,913,205,
083,895,328,253,595,891,430,131,545,566,636,467,947,856,119,379,682,648,398,
712,738,377,788,811,434,024,006,380,611,331,538,664,542,380,400,964,774,182,
315,913,727,346,103,676,217,801,694,411,874,355,945,186,642,200,297,026,114,
993,631,604,427,645,772,753,042,200,155,831,213,720,559,305,096,878,921,204,
805,508,403,989,006,145,606,756,464,333,806,375,386,344,803,357,128,092,515,
521,304,434,360,392,294,846,888,785,613,613,817,667,147,997,641,998,069,866,
628,054,359,804,579,626,595,438,300,592,449,696,037,041,896,653,210,104,902,
600,526,989,130,778,012,774,031,445,684,747,812,820,740,818,945,595,575,490,
651,891,401,649,288,965,948,607,051,089,769,692,417,094,838,084,215,774,974,
604,957,769,480,147,370,802,602,361,831,282,782,970,833,331,921,256,791,941,
231,592,428,131,296,891,872,295,558,731,185,028,835,329,129,912,034,909,379,
692,483,265,827,712,585,588,348,210,200,470,674,264,207,863,886,925,397,366,
345,299,341,403,417,688,336,959,154,695,923,878,263,050,397,085,326,924,559,
671,511,349,811,063,440,137,707,490,737,664,851,261,534,430,195,757,064,341,
495,017,752,100,305,342,668,394,661,122,285,770,525,748,425,114,989,253,223,
882,399,741,013,283,078,107,841,534,852,411,769,574,540,795,748,814,644,637,
093,277,275,676,943,197,999,799,536,777,355,262,129,631,174,878,818,167,983,
052,878,189,117,710,089,512,630,250,174,637,915,291,567,330,800,172,505,714,
851,515,291,987,346,436,541,501,866,884,925,911,063,455,192,326,617,902,870,
819,484,271,895,679,986,462,151,990,896,876,467,033,367,901,380,341,970,650,
673,081,144,985,717,394,003,846,468,875,466,706,698,392,973,113,558,619,599,
968,467,881,172,907,772,899,261,356,013,368,388,646,483,825,897,662,321,396,
682,488,361,833,473,151,494,214,908,236,512,018,338,666,831,106,730,865,696,
982,415,043,894,589,438,355,214,884,239,483,946,405,694,923,273,124,579,031,
856,226,433,814,984,617,974,818,339,911,927,192,090,933,537,440,128,596,523,
614,197,116,123,983,423,616,796,913,439,842,370,455,971,295,900,226,880,240,
883,937,923,494,191,847,697,327,949,215,468,216,177,614,634,453,146,167,972,
080,660,292,679,890,444,716,963,174,165,951,460,123,529,130,348,079,058,979,
312,191,957,551,600,231,960,031,035,621,164,268,269,346,351,206,943,298,297,
354,891,771,421,041,997,184,739,336,207,949,548,994,756,845,959,476,068,772,
178,883,283,877,512,934,195,140,374,069,712,557,442,601,459,325,581,179,891,
013,009,471,230,275,479,841,407,372,987,165,726,655,383,015,115,509,126,925,
401,542,688,593,154,566,597,702,767,942,350,844,910,254,471,463,895,843,721,
985,533,270,715,455,523,233,316,542,792,278,146,377,289,556,576,666,293,665,
212,159,741,896,787,764,879,412,514,590,169,215,690,385,153,225,560,629,401,
968,624,931,812,583,286,069,227,595,165,026,799,132,188,299,776,220,745,540,
456,600,423,606,732,490,853,394,603,026,687,244,488,279,889,883,901,518,403,
950,165,069,239,592,136,037,611,213,677,750,099,465,903,373,517,880,212,114,
926,899,676,922,257,525,433,175,986,562,649,118,707,393,544,029,281,993,454,
919,393,002,210,922,259,554,108,549,663,318,179,713,902,384,122,695,990,208,
735,191,647,754,126,219,045,997,546,327,642,706,324,774,375,746,978,689,319,
526,282,837,748,080,939,954,848,684,681,271,382,486,813,335,515,629,057,082,
520,491,528,979,592,120,946,246,368,438,080,529,904,535,258,587,483,815,262,
932,754,284,645,116,411,334,757,485,477,431,623,222,528,507,429,186,376,012,
127,482,785,357,294,332,346,092,831,286,406,505,034,403,730,405,236,098,608,
133,637,126,246,274,097,178,155,422,634,983,283,656,505,740,482,719,384,072,
827,998,948,221,865,697,037,405,313,413,549,873,596,248,754,339,379,283,508,
398,340,909,162,574,297,411,637,993,923,175,381,110,679,738,568,345,426,430,
178,827,368,232,090,334,072,069,941,963,855,522,398,322,540,891,952,669,094,
317,784,580,429,794,480,728,027,512,995,755,823,031,950,264,391,977,812,834,
748,666,167,304,040,623,976,150,597,478,649,255,639,914,392,142,504,166,001,
448,840,634,608,065,750,885,568,260,643,552,956,566,944,421,114,159,194,403,
587,239,642,717,708,535,067,687,251,370,360,295,886,365,026,512,047,260,950,
103,327,480,798,233,965,477,311,675,388,043,415,574,658,060,051,358,651,068,
619,700,138,744,470,836,286,726,918,385,338,581,730,143,202,385,824,219,995,
345,603,650,847,115,335,483,111,994,162,177,376,370,918,724,102,547,865,083,
177,050,650,263,779,059,020,646,820,599,957,085,180,628,863,268,442,104,651,
998,497,435,397,004,132,795,904,526,376,814,048,271,877,735,819,757,723,784,
956,702,116,083,725,485,043,174,696,007,188,362,444,943,615,562,550,076,666,
925,601,183,241,514,000,945,880,336,355,684,520,354,585,827,239,769,329,861,
987,302,008,794,294,980,093,179,418,451,485,391,567,693,490,886,832,091,209,
713,452,565,349,576,770,446,815,858,520,360,618,145,207,485,324,776,230,663,
117,147,280,072,173,009,966,572,272,011,207,841,519,325,524,612,542,724,486,
005,438,794,937,520,564,254,032,597,162,292,615,634,739,687,508,645,751,684,
123,891,783,605,783,481,805,117,208,739,661,988,420,134,799,569,616,118,617,
255,212,460,227,186,973,596,774,285,988,009,092,272,044,820,225,918,657,920,
776,250,047,606,555,568,135,321,941,191,667,180,596,454,475,109,181,131,307,
974,296,243,642,882,860,154,181,463,466,251,529,746,944,884,073,287,136,062,
822,743,495,677,775,363,449,882,529,010,489,177,541,862,729,057,977,438,503,
438,483,982,927,040,612,326,006,021,896,399,593,538,659,941,635,319,757,550,
421,791,118,175,079,763,490,202,548,025,941,651,434,530,985,289,249,885,623,
351,757,044,730,148,166,983,691,394,635,533,940,191,129,978,482,817,744,717,
293,301,298,389,796,298,334,081,643,463,956,873,572,328,160,646,355,890,258,
400,933,144,252,605,773,145,196,033,078,042,823,587,295,870,877,611,885,786,
834,476,713,321,218,542,834,361,797,268,046,487,973,999,001,021,197,389,149,
422,739,752,418,719,438,496,322,683,949,383,253,824,958,938,858,432,797,890,
054,807,039,885,804,458,025,308,495,297,457,885,321,421,096,972,158,743,892,
712,230,042,131,570,601,735,545,747,855,870,739,026,303,985,894,843,854,041,
536,175,690,071,113,019,596,914,785,733,642,593,273,824,625,139,649,049,095,
936,300,005,064,799,790,245,175,116,002,284,023,314,093,423,782,393,231,221,
079,093,812,880,370,507,791,329,960,054,484,179,768,850,031,558,973,380,809,
369,104,316,911,541,777,619,097,199,831,979,716,133,093,640,720,440,124,803,
422,751,386,947,026,818,056,759,431,017,408,223,940,777,688,148,439,331,410,
657,660,701,624,709,852,247,610,811,693,597,509,603,210,333,342,308,777,585,
567,165,411,429,073,292,792,946,498,519,231,865,274,920,287,307,700,628,966,
177,315,805,896,689,132,007,452,288,009,809,329,497,581,113,713,254,145,470,
102,815,873,254,816,802,339,190,966,855,599,678,159,450,222,419,285,320,154,
683,619,817,224,273,824,974,582,562,020,494,922,374,939,615,386,847,711,333,
379,387,952,942,912,327,240,400,605,691,039,103,335,278,545,075,401,487,457,
260,453,475,562,943,713,230,090,801,566,346,283,973,006,703,587,931,275,264,
283,605,436,520,441,031,767,454,881,005,936,395,478,089,042,711,911,808,511,
119,476,900,163,831,222,906,950,232,787,397,278,399,141,647,125,130,439,576,
512,918,962,952,171,206,817,833,740,974,721,530,268,939,368,628,025,615,778,
790,863,498,624,306,012,865,640,138,660,416,247,770,288,113,819,675,295,385,
282,684,673,658,617,086,807,437,845,544,963,661,618,585,759,533,315,970,879,
790,550,648,503,992,877,089,942,335,561,664,014,115,017,897,540,694,728,799,
976,630,858,134,622,980,449,318,835,119,535,719,313,902,882,511,425,175,880,
834,078,370,571,681,896,233,742,195,897,466,867,205,318,495,564,464,843,961,
710,544,799,916,378,523,518,598,013,893,616,205,134,870,502,663,168,054,817,
641,783,456,781,035,192,436,718,523,453,966,152,220,920,829,649,088,632,421,
603,618,572,463,774,618,709,514,044,872,505,609,828,210,983,722,937,225,227,
070,369,379,628,205,200,841,098,895,539,596,924,055,951,311,010,465,231,794,
393,634,009,293,662,330,985,881,979,287,240,446,996,128,822,386,643,223,987,
953,050,756,546,212,416,896,438,118,255,236,649,350,643,961,222,022,748,375,
368,316,811,499,478,791,877,088,694,955,025,509,808,914,961,357,924,981,071,
826,165,360,386,027,112,007,544,537,232,648,423,742,903,716,359,941,955,188,
380,325,939,715,597,533,418,682,052,582,244,715,807,248,684,162,859,686,366,
156,458,591,014,597,450,489,164,103,470,471,193,575,109,289,643,325,761,693,
754,845,707,896,470,974,976,035,949,321,583,941,722,641,933,966,203,290,760,
206,385,106,278,608,463,387,029,626,708,853,549,303,683,643,302,799,620,836,
537,194,060,252,978,397,782,292,145,195,440,552,737,023,931,141,451,891,570,
088,047,248,613,145,170,703,613,363,631,113,901,462,899,811,015,758,420,343,
027,451,430,494,950,431,431,824,547,362,161,969,714,928,804,544,486,131,617,
039,828,255,988,555,170,945,023,001,585,048,235,974,498,313,008,394,617,517,
839,373,294,489,747,044,402,040,040,280,058,812,477,488,119,237,497,983,624,
165,296,615,022,321,143,549,489,015,481,283,654,172,561,158,630,298,318,312,
922,677,681,307,720,613,411,505,058,402,627,774,758,521,187,935,372,738,622,
352,207,188,530,125,334,127,885,469,249,295,619,763,201,000,301,346,524,751,
747,990,809,211,830,828,264,246,516,845,099,290,908,874,435,705,773,354,669,
908,364,883,589,682,183,400,083,897,116,197,674,869,315,944,253,976,808,271,
075,329,721,810,070,109,420,911,843,508,136,856,802,533,670,342,408,698,871,
187,248,126,502,890,014,029,208,463,081,517,157,112,991,516,699,561,751,895,
429,310,422,996,203,351,040,195,653,928,751,369,285,314,616,348,885,949,928,
019,009,669,752,946,230,074,441,651,740,804,880,256,760,620,767,482,435,588,
360,904,198,674,305,423,866,034,811,765,818,664,092,328,691,342,753,024,669,
662,008,583,628,186,370,922,354,446,397,815,580,378,660,024,961,014,459,551,
308,873,913,756,195,332,175,797,508,971,269,742,605,221,233,105,044,721,770,
657,704,621,571,661,708,611,111,115,198,884,635,702,193,406,416,616,121,496,
592,871,411,613,385,394,669,296,456,434,926,760,653,431,432,568,653,839,928,
401,863,086,524,692,942,172,261,614,277,287,569,066,868,456,582,056,599,169,
195,536,569,239,100,272,290,198,911,632,880,784,796,998,923,896,111,674,102,
214,804,730,713,980,787,506,160,332,071,662,046,997,921,810,145,072,164,730,
964,638,034,030,803,788,836,225,282,092,148,691,970,368,222,027,141,366,352,
707,706,845,792,461,072,086,046,003,906,581,634,788,117,038,011,922,774,767,
299,032,866,965,731,003,203,643,174,322,605,852,870,545,442,772,972,321,516,
368,308,202,369,182,419,424,987,621,175,359,377,863,077,899,726,061,179,437,
840,668,468,010,557,260,500,730,571,271,256,706,779,970,161,329,980,446,554,
164,072,129,419,166,983,095,402,870,327,965,096,347,833,435,257,593,783,686,
166,416,292,171,247,610,726,125,011,609,092,323,464,305,551,392,470,232,158,
922,361,176,099,914,144,306,944,854,489,849,964,000,702,990,972,200,957,832,
636,333,836,194,058,747,968,693,475,054,358,239,391,865,074,806,872,537,061,
953,313,584,126,942,850,401,126,422,490,710,876,503,788,760,876,296,261,035,
398,494,431,473,064,950,770,147,196,774,623,576,129,290,958,754,480,005,286,
020,373,756,896,101,152,992,517,561,462,602,867,991,672,933,700,879,204,055,
490,010,052,963,167,452,504,851,436,686,845,756,071,099,009,651,591,995,515,
386,083,523,448,962,109,918,005,653,572,415,161,936,104,250,591,523,806,137,
818,402,836,713,751,374,936,579,827,413,533,497,715,826,310,739,948,995,309,
076,337,588,006,416,967,093,935,118,051,709,175,679,857,089,168,246,658,283,
711,271,280,802,747,825,376,955,377,968,162,371,864,880,551,564,328,152,951,
917,055,380,566,150,467,714,990,572,310,686,915,724,802,916,409,311,177,355,
531,929,929,358,667,886,031,489,793,957,838,218,122,521,604,807,545,809,921,
294,806,783,422,543,493,282,887,716,216,615,024,200,612,075,830,456,660,236,
035,517,753,212,571,537,865,937,395,168,064,993,564,001,625,476,209,262,061,
297,946,075,279,201,671,761,442,465,193,345,052,442,578,318,328,005,325,457,
374,946,454,032,394,923,068,849,721,735,046,629,425,832,992,756,775,009,237,
682,247,156,606,823,637,332,089,484,786,312,693,771,399,149,181,324,499,907,
729,553,681,425,403,722,245,851,367,019,945,064,331,642,474,958,761,017,422,
687,238,622,722,321,244,730,564,114,482,232,107,974,880,432,334,922,730,605,
835,096,567,437,069,468,931,676,948,706,474,017,166,814,359,262,755,119,206,
640,682,808,640,274,576,518,831,818,875,888,364,311,062,040,302,666,333,642,
009,962,396,918,338,877,828,287,860,039,602,848,798,475,763,291,087,788,792,
178,389,749,493,514,191,585,710,058,473,299,679,740,724,511,496,862,870,602,
354,615,040,958,410,207,770,074,348,178,405,579,212,857,436,410,311,286,242,
341,610,757,536,534,044,545,269,672,586,633,095,822,891,751,920,133,795,558,
115,336,014,083,394,113,607,624,016,966,946,325,942,658,249,975,285,132,841,
101,671,510,142,982,155,109,303,400,301,872,211,713,176,932,912,939,850,748,
810,026,867,132,540,983,301,085,248,117,429,406,525,737,220,507,319,892,516,
405,712,596,476,455,427,674,506,333,808,870,816,856,297,651,703,365,879,771,
688,982,455,386,929,718,381,195,019,256,336,766,984,093,673,801,309,771,133,
023,145,445,208,815,395,274,694,411,955,413,775,992,928,683,762,696,768,198,
961,879,561,944,581,063,309,590,930,878,856,544,424,009,648,429,104,524,043,
742,413,337,526,179,826,324,223,564,007,670,539,323,742,873,394,156,468,252,
506,625,095,544,941,075,446,803,865,995,560,492,463,728,513,626,165,664,163,
143,866,277,748,280,503,534,528,992,527,258,155,581,702,325,396,223,797,012,
034,817,621,047,310,713,886,358,913,581,505,237,734,286,322,723,089,868,757,
959,767,808,700,333,975,334,766,294,357,592,420,107,833,501,173,674,375,692,
903,840,382,821,614,763,605,034,413,808,449,162,895,510,440,958,460,185,106,
383,092,320,280,569,911,515,999,440,717,691,773,551,405,987,337,019,177,008,
792,832,145,986,235,062,151,145,325,250,379,089,833,323,742,376,293,860,390,
194,962,777,017,126,229,354,054,030,303,898,358,773,422,795,929,004,932,875,
869,861,194,437,988,035,961,114,046,996,586,451,970,244,367,898,463,398,514,
881,131,516,714,317,387,878,472,418,763,016,601,059,381,382,024,888,717,479,
924,098,515,649,595,313,628,857,179,240,018,762,916,530,979,026,279,131,010,
621,934,718,359,180,180,588,112,636,227,390,011,921,119,314,261,000,789,726,
401,433,519,216,927,079,539,690,838,811,376,801,242,355,374,976,695,425,832,
756,022,978,190,911,485,220,169,294,722,535,035,208,175,323,013,535,721,153,
693,015,721,647,823,936,478,523,575,335,402,061,351,354,494,612,819,537,860,
946,122,934,728,186,964,188,620,327,120,617,930,407,196,461,460,653,926,295,
222,022,674,899,675,528,520,832,068,211,853,808,332,597,975,958,257,233,260,
167,453,432,302,488,336,195,159,580,418,559,943,879,606,118,055,118,409,674,
669,625,933,473,618,993,137,561,247,044,608,378,662,311,931,723,328,847,611,
164,881,354,505,934,771,516,603,788,717,122,024,755,026,192,866,489,394,048,
356,280,330,124,623,355,827,755,974,866,412,888,697,408,575,216,537,094,493,
953,035,149,953,702,455,693,826,060,522,111,284,912,333,370,481,670,217,823,
605,059,838,238,858,909,147,784,871,995,992,527,169,982,544,341,459,592,337,
657,184,606,405,844,050,435,883,577,606,641,760,424,131,632,176,262,622,729,
987,783,522,870,178,662,250,493,108,492,964,109,609,255,197,399,857,548,290,
891,359,211,859,307,896,017,681,552,709,364,298,782,615,424,479,801,323,907,
611,289,401,667,611,189,188,820,388,765,844,010,415,296,373,274,274,950,924,
420,837,503,192,514,220,091,339,907,447,779,710,179,720,584,432,014,669,851,
139,293,396,275,081,446,575,617,490,971,816,708,261,200,635,195,157,291,767,
826,616,116,034,973,567,254,637,693,546,216,900,354,859,795,539,391,027,249,
703,631,438,809,514,369,354,637,583,716,847,463,514,303,289,724,847,231,280,
099,100,408,562,948,913,198,748,975,947,099,079,902,644,826,253,900,207,112,
677,202,550,441,486,262,332,344,660,265,574,447,960,906,288,310,244,684,921,
766,862,377,724,935,764,993,912,664,429,561,520,553,881,735,700,545,055,790,
601,158,058,489,167,548,719,029,760,875,373,449,588,511,342,464,299,199,743,
213,277,874,148,811,273,943,118,290,481,316,460,484,100,561,926,560,808,381,
020,554,242,771,163,389,954,157,949,882,372,233,573,776,909,658,688,637,129,
869,740,989,686,020,638,566,253,481,003,392,150,989,967,789,339,267,873,847,
753,180,000,978,903,051,386,822,050,077,563,812,961,820,702,204,088,069,238,
438,209,690,517,298,744,950,582,187,438,397,389,555,021,203,743,139,471,844,
711,474,218,580,005,260,209,330,618,652,016,921,527,786,624,451,335,473,671,
308,386,939,120,790,691,247,102,220,117,760,467,057,978,866,535,230,093,354,
129,926,840,385,306,572,780,246,848,798,673,625,519,179,471,971,148,127,396,
454,350,597,677,306,937,883,146,379,344,510,246,237,443,595,246,671,473,173,
559,875,565,127,985,337,865,575,198,790,453,111,444,566,579,412,226,597,892,
694,136,388,835,230,481,917,929,874,561,477,425,242,961,197,568,085,583,421,
323,538,855,212,354,376,771,754,717,332,939,508,919,128,919,977,865,115,117,
516,009,901,822,888,655,147,529,406,584,944,035,622,458,505,136,568,559,779,
472,103,976,572,515,430,600,244,186,184,139,658,743,457,574,410,626,733,313,
367,496,260,083,443,901,431,190,491,038,057,310,427,768,551,059,066,163,994,
885,045,898,471,068,179,335,375,633,695,370,389,354,113,108,316,697,359,764,
907,758,731,196,582,010,819,438,283,452,889,112,094,654,102,843,782,012,022,
228,753,899,490,224,459,180,181,432,934,278,699,029,768,377,230,744,543,586,
895,739,310,500,683,257,678,753,976,917,803,283,219,195,143,163,922,938,760,
029,795,553,722,621,848,834,318,172,769,545,482,464,538,715,799,393,021,802,
941,119,860,185,039,325,715,458,920,341,173,182,220,347,929,792,578,207,432,
459,524,644,951,035,442,638,125,360,269,550,820,143,074,953,780,823,233,475,
807,491,135,791,093,756,522,327,611,584,610,103,418,723,870,613,611,267,317,
313,293,981,576,510,028,104,879,179,327,019,529,957,639,734,581,563,243,382,
667,642,710,855,250,259,727,514,788,898,392,042,729,627,397,942,280,985,526,
331,549,042,630,414,506,766,372,648,570,702,272,178,174,125,950,096,826,892,
621,681,749,458,630,863,114,462,893,967,930,259,323,037,232,596,226,256,534,
768,905,677,809,697,045,857,148,669,221,604,359,635,977,753,322,051,549,009,
497,927,675,285,613,610,892,960,484,434,467,097,460,349,112,353,373,267,575,
840,249,936,241,764,939,172,294,587,003,488,702,426,170,021,419,555,703,547,
696,047,175,710,772,388,327,299,083,233,815,904,939,440,010,139,488,525,646,
708,360,010,837,385,346,614,798,576,872,922,570,187,304,341,170,194,323,680,
948,774,446,172,342,326,532,847,624,144,968,123,985,355,995,339,297,042,347,
061,938,725,978,612,972,945,771,723,277,734,083,818,735,401,061,454,877,603,
850,992,369,131,079,913,254,773,469,994,258,902,500,737,301,287,521,403,864,
945,163,018,231,759,810,386,871,843,489,222,631,786,777,924,965,503,683,466,
634,210,853,924,431,122,162,060,890,620,560,612,102,590,558,114,559,574,556,
952,898,619,298,568,504,942,646,648,485,071,128,035,134,156,688,876,073,403,
761,151,917,377,515,165,770,511,299,298,369,918,738,556,868,882,576,532,707,
418,773,674,655,673,189,659,456,058,466,320,326,721,516,973,846,934,193,320,
038,313,507,882,200,563,375,066,450,292,684,294,024,956,989,874,765,863,866,
674,878,413,998,526,625,537,554,528,791,734,964,150,880,290,308,796,719,506,
715,604,704,971,480,987,695,115,843,928,121,660,150,052,370,725,988,152,830,
356,403,785,558,650,555,889,636,861,694,906,089,874,723,398,794,332,814,462,
348,147,764,523,116,265,916,293,385,616,140,877,022,494,696,570,963,314,404,
395,029,542,405,092,065,461,046,261,662,182,732,123,498,937,814,315,877,204,
712,166,389,978,217,902,426,424,389,922,921,499,751,347,352,956,820,352,045,
171,997,283,170,891,607,169,007,273,656,449,841,457,058,000,755,342,410,871,
743,832,283,680,985,411,596,996,690,644,392,959,696,321,914,462,069,672,459,
777,150,950,081,371,166,026,111,716,206,675,797,165,977,449,852,716,533,028,
990,209,938,147,408,769,193,648,380,350,376,741,794,621,181,237,177,712,282,
108,786,361,227,406,639,577,915,802,436,356,408,340,146,051,230,174,763,849,
176,126,365,543,269,609,381,080,050,670,263,480,787,467,118,327,355,872,647,
871,833,855,573,391,794,386,260,837,010,569,220,738,275,774,107,489,858,220,
877,863,141,031,664,992,934,880,286,791,383,765,774,964,067,673,625,589,478,
509,885,621,569,001,741,439,585,909,578,379,018,625,754,123,975,908,517,415,
672,752,944,105,073,885,840,776,219,681,332,701,656,372,623,908,541,016,403,
142,250,329,483,242,193,454,501,400,904,769,504,640,255,685,368,529,383,068,
293,905,977,888,156,376,983,539,042,903,383,339,746,508,827,962,039,895,262,
821,065,852,263,081,096,620,347,468,479,198,692,906,419,560,345,140,682,627,
154,825,366,334,772,348,462,197,247,374,488,774,278,191,878,966,252,691,382,
166,438,718,733,655,217,452,340,117,853,079,592,706,755,990,230,258,711,662,
525,389,821,533,276,273,347,377,390,099,418,602,407,440,828,409,519,171,740,
758,536,230,032,564,454,848,120,969,679,533,807,234,486,661,862,067,070,132,
283,428,563,074,054,931,968,609,235,584,783,699,979,425,639,786,387,307,367,
415,903,179,036,552,665,255,947,163,780,032,400,751,200,787,745,819,721,332,
031,298,377,933,369,535,880,209,510,310,550,742,324,636,834,806,169,034,172,
039,937,573,125,728,242,569,053,587,095,062,402,965,225,235,626,668,877,751,
640,012,939,318,940,007,139,068,021,680,379,947,159,789,005,692,635,747,150,
440,084,361,013,468,637,711,298,821,897,121,373,812,992,396,565,565,633,029,
230,457,238,572,627,295,334,615,429,626,699,179,834,689,477,538,385,331,162,
617,844,264,843,210,662,669,357,233,342,237,403,221,140,786,272,349,449,938,
906,033,701,242,444,134,718,157,463,097,727,027,239,511,589,110,550,318,917,
103,879,475,852,765,623,991,670,550,584,285,278,419,338,380,763,961,507,869,
471,315,970,147,224,022,029,371,805,933,861,367,563,840,536,753,649,147,453,
398,898,812,330,962,451,727,971,969,537,600,367,062,085,609,375,769,816,045,
782,955,219,031,139,348,037,307,236,350,681,276,878,892,627,176,012,798,106,
756,833,913,663,497,031,721,129,726,475,810,432,804,733,725,342,112,326,076,
387,673,594,925,244,685,384,262,957,611,684,172,019,912,427,454,196,820,610,
544,079,228,077,669,918,028,737,262,626,678,104,988,851,810,321,134,757,723,
685,284,673,401,548,945,615,558,131,255,625,084,802,976,076,016,014,003,863,
454,031,895,144,959,092,526,290,191,728,196,172,198,663,060,292,645,391,957,
155,471,584,593,758,026,921,011,102,282,173,272,421,229,960,456,421,743,282,
980,438,913,713,091,190,062,289,923,658,914,855,937,381,032,101,720,207,487,
266,858,659,697,602,457,099,056,140,263,290,478,313,557,614,562,216,561,046,
539,727,490,882,008,593,346,812,505,337,439,087,105,085,789,702,620,154,035,
763,220,286,886,875,913,757,332,335,940,144,006,197,668,976,509,337,850,293,
404,769,126,984,583,085,714,025,349,781,204,211,822,878,640,075,490,161,681,
193,134,239,507,350,338,345,093,675,118,794,128,763,001,442,065,206,479,412,
588,415,789,683,355,872,490,564,908,700,491,206,232,928,936,835,984,480,231,
093,178,633,060,525,876,988,705,661,608,956,226,293,324,073,033,780,421,699,
887,234,708,917,868,365,462,044,178,384,705,307,746,244,868,323,630,683,706,
953,784,319,581,511,521,650,433,698,542,382,961,863,115,722,620,451,211,509,
013,304,554,528,890,688,543,514,093,789,147,287,467,330,500,073,716,868,592,
576,441,922,316,928,232,177,588,094,405,460,392,276,758,355,985,699,532,568,
582,281,945,806,081,904,613,793,862,436,146,953,308,274,131,744,249,629,821,
189,256,592,571,846,291,386,823,666,966,485,664,644,865,801,088,188,851,071,
858,943,073,489,906,419,284,301,366,289,029,628,732,687,268,990,453,584,866,
055,263,773,211,580,453,888,001,581,126,862,187,079,005,693,046,354,452,594,
321,237,523,264,060,964,200,778,955,653,952,638,112,009,962,504,883,376,251,
811,138,986,153,800,495,144,949,600,881,288,412,012,009,064,341,798,485,628,
750,801,627,073,811,661,956,356,443,481,039,459,350,598,394,200,179,283,483,
001,714,771,706,373,219,804,944,684,789,937,969,947,366,802,253,072,918,228,
582,579,391,370,832,840,884,337,424,803,646,070,030,835,131,433,560,801,792,
183,988,091,543,878,624,925,696,780,394,936,576,709,933,013,285,094,518,058,
377,068,129,001,052,088,914,148,204,704,948,738,874,690,013,537,494,269,718,
499,038,752,551,707,103,639,722,073,287,876,207,483,390,770,244,900,313,204,
553,951,004,901,125,497,869,423,192,947,879,742,008,429,697,179,677,170,181,
869,676,402,014,698,734,858,856,328,024,310,819,699,239,276,959,184,853,497,
041,335,746,168,094,082,811,401,320,831,274,602,068,792,845,983,277,520,117,
485,735,399,684,820,813,778,736,174,527,789,659,654,559,417,965,082,306,398,
368,979,642,341,770,685,690,416,689,389,967,120,618,257,286,232,759,833,770,
100,948,563,452,818,129,108,552,410,984,105,004,758,942,416,785,794,411,295,
033,256,380,326,489,373,731,205,704,908,752,600,533,647,572,911,396,652,573,
482,756,867,904,609,885,519,992,875,048,773,824,895,655,402,590,125,519,768,
414,059,612,710,664,429,514,237,880,651,517,634,771,960,588,621,031,332,440,
477,421,086,791,226,907,909,421,627,237,623,460,707,683,497,530,243,203,047,
338,423,833,082,034,710,906,462,934,207,439,489,805,063,011,458,572,369,858,
809,545,989,055,147,955,143,657,720,417,588,677,593,438,041,037,226,757,231,
873,107,870,605,698,273,890,833,443,374,145,324,211,141,854,479,090,025,432,
407,216,304,457,240,482,472,956,529,363,545,709,486,373,873,017,489,373,975,
701,574,242,603,771,617,356,908,842,283,249,896,424,295,284,397,893,255,665,
685,697,598,721,180,335,242,182,157,328,611,470,477,855,502,529,842,693,725,
708,175,894,663,426,313,721,978,271,631,156,495,096,521,300,636,513,164,847,
376,020,575,287,405,162,354,087,674,760,706,753,640,650,652,873,825,575,583,
682,272,253,562,346,905,055,149,315,560,459,870,717,123,105,278,119,811,536,
200,408,147,846,540,272,573,747,918,375,972,694,657,887,712,888,137,769,397,
172,345,203,749,759,869,919,043,916,615,088,180,394,877,464,758,637,048,266,
384,586,594,541,569,793,886,472,414,298,389,706,966,817,434,849,218,700,882,
239,615,588,076,188,691,675,852,441,658,155,460,516,982,931,538,816,729,175,
431,157,775,437,329,392,631,088,224,312,153,005,163,396,804,808,134,381,379,
546,479,787,911,367,837,445,643,572,658,411,851,311,287,476,092,050,911,887,
764,580,616,277,422,550,696,155,036,396,400,102,051,179,574,904,911,551,501,
921,862,486,470,437,495,444,355,232,241,788,094,049,077,309,146,050,079,889,
148,547,910,641,608,565,251,187,538,383,449,051,295,870,242,346,779,433,067,
103,229,983,855,266,769,566,182,494,256,515,858,115,295,864,039,821,604,843,
970,432,984,453,639,337,905,084,463,258,835,158,092,912,932,349,323,923,179,
420,370,214,403,174,263,382,774,765,016,929,647,712,289,557,858,270,480,557,
873,154,855,858,150,453,797,459,218,584,620,991,248,183,809,826,659,058,057,
969,234,374,841,051,443,913,021,109,787,629,122,945,125,909,248,945,133,750,
179,363,117,918,569,315,619,521,706,803,494,665,453,591,330,559,386,396,774,
412,925,111,460,677,863,914,188,305,670,277,190,250,993,021,103,775,687,758,
482,113,092,124,167,454,551,458,440,040,443,185,773,028,209,588,693,788,531,
206,280,433,704,265,446,776,552,207,190,433,056,472,026,887,528,038,196,211,
950,476,547,299,098,876,847,332,896,211,069,589,776,387,822,108,032,887,441,
711,085,936,419,262,127,069,211,503,546,024,094,579,926,149,196,524,326,401,
688,149,968,890,282,037,831,176,309,567,627,292,200,307,448,776,751,472,250,
945,899,690,192,269,961,710,204,051,584,825,314,412,234,782,663,128,324,062,
932,146,441,445,995,028,240,004,044,158,972,021,390,616,697,287,169,491,528,
497,270,727,463,562,750,625,154,636,033,202,511,828,577,970,794,207,137,765,
427,240,356,870,940,512,754,139,895,296,252,875,951,420,541,579,192,940,532,
131,098,560,374,612,932,468,308,664,696,379,496,943,644,287,015,720,629,453,
339,105,546,959,347,649,868,897,141,372,554,312,746,622,505,743,855,592,656,
430,748,823,201,777,120,217,286,977,300,562,774,131,451,111,044,453,410,455,
783,196,062,686,591,211,224,975,063,642,533,003,275,381,303,842,256,271,865,
467,401,908,529,932,918,391,359,469,211,267,464,434,258,659,423,777,887,680,
681,638,579,255,980,299,099,340,686,854,394,857,688,299,771,550,578,488,747,
521,036,488,000,534,274,741,659,297,772,617,397,687,897,432,591,404,113,468,
469,091,991,285,702,246,940,682,019,552,477,945,169,167,283,470,726,122,912,
892,659,579,410,514,577,909,861,494,118,290,076,376,509,909,783,732,773,735,
041,723,675,815,581,926,152,268,588,143,074,724,765,854,143,554,651,433,161,
480,611,741,480,561,110,250,060,384,874,307,697,712,030,122,540,817,686,117,
822,708,860,779,526,382,977,633,188,527,144,564,498,534,958,947,216,561,369,
913,722,163,436,118,643,057,609,274,315,867,150,431,309,389,865,124,053,848,
542,321,339,100,389,919,889,396,198,291,955,993,572,759,098,174,871,662,142,
047,201,341,507,509,427,640,930,665,188,056,612,158,810,473,220,207,819,894,
154,294,590,433,698,424,729,157,677,625,354,847,218,540,363,775,572,631,822,
745,910,751,798,208,716,757,407,490,755,078,377,535,278,458,971,788,861,271,
752,179,289,220,202,164,234,648,689,559,525,856,754,483,631,167,923,635,734,
722,605,027,754,164,803,555,916,217,962,873,649,986,737,595,335,687,509,206,
241,405,202,135,810,611,688,664,994,466,944,200,383,832,457,019,127,705,729,
485,301,589,823,312,460,731,873,265,541,696,465,389,612,842,438,166,108,520,
859,656,883,641,867,857,107,895,668,567,963,468,032,467,178,047,281,218,382,
482,766,188,033,189,736,813,214,094,514,725,814,516,824,858,207,666,539,476,
545,935,952,099,883,005,135,836,404,720,576,363,286,876,728,866,740,445,559,
635,125,806,600,661,365,349,527,432,609,984,929,242,654,626,434,799,998,835,
470,773,811,722,619,698,324,133,187,384,608,993,657,962,986,022,647,676,834,
101,878,837,108,662,950,186,004,055,424,151,233,258,545,991,318,972,498,287,
296,937,943,350,735,338,891,362,430,542,618,064,305,415,154,676,403,004,607,
814,327,112,632,896,864,214,790,154,409,690,617,004,920,237,656,763,101,698,
827,489,031,406,729,534,041,997,619,448,852,862,659,978,390,040,938,189,587,
928,747,730,049,410,192,576,523,564,726,556,413,549,176,036,215,870,221,776,
869,400,188,204,152,840,760,777,757,748,924,378,294,845,386,203,125,608,481,
124,662,439,244,594,322,172,877,407,941,352,690,105,606,201,009,389,017,225,
465,134,748,708,864,484,036,066,939,205,804,515,418,867,273,832,716,998,631,
611,065,724,317,449,030,424,013,840,231,001,846,133,425,338,766,758,178,645,
657,275,083,690,064,889,999,863,551,395,942,912,538,585,446,254,322,652,635,
916,775,291,331,457,174,852,377,329,337,124,673,953,382,048,417,056,943,115,
972,255,781,919,547,522,534,586,719,556,847,876,125,130,823,294,973,553,058,
911,768,899,657,263,293,317,259,621,300,845,091,060,420,675,402,645,539,070,
486,473,181,055,567,124,794,690,669,037,736,485,057,680,412,215,105,113,194,
294,680,863,088,643,840,295,033,803,433,602,824,652,307,055,397,739,653,623,
760,172,746,810,019,291,046,979,777,468,112,216,596,934,793,442,186,437,172,
033,860,476,167,941,351,065,136,807,031,105,126,441,262,859,459,357,892,835,
818,755,235,584,800,030,889,090,035,131,498,991,948,903,108,997,610,740,914,
102,119,249,269,495,281,217,967,039,199,653,941,435,846,108,791,892,229,733,
516,257,501,615,559,482,489,669,079,763,910,537,339,224,787,589,504,837,126,
520,065,464,406,334,659,915,342,711,800,249,683,839,767,018,669,351,062,057,
155,753,021,694,451,571,790,049,953,450,934,625,987,215,164,070,069,912,756,
129,568,344,329,679,753,728,443,127,400,310,520,848,780,639,700,748,163,857,
869,784,663,143,800,016,548,782,873,414,434,236,154,305,095,103,801,485,878,
178,468,580,540,165,539,123,069,936,412,794,955,653,048,789,220,088,257,616,
985,392,711,478,005,860,035,461,943,980,449,811,309,307,825,843,269,433,790,
592,949,004,939,966,907,139,855,248,324,612,707,974,346,306,599,131,702,282,
117,941,130,199,398,996,959,259,829,609,124,279,308,833,248,912,272,406,443,
389,995,522,655,888,959,290,159,241,121,582,761,448,463,157,009,130,813,564,
433,171,665,725,209,287,367,255,331,395,070,761,596,395,036,203,888,164,711,
375,040,546,434,094,608,664,053,708,184,061,305,828,114,769,263,351,987,625,
998,461,113,287,241,961,497,696,933,312,536,791,866,455,304,539,748,349,145,
329,935,627,246,995,994,129,452,725,255,031,472,192,140,196,259,903,332,000,
819,358,699,039,119,128,082,363,007,522,271,208,855,937,528,365,337,044,923,
705,476,690,883,297,341,672,789,479,190,692,605,970,374,698,552,103,908,823,
454,962,245,510,351,457,144,576,384,891,082,198,227,749,508,798,055,956,656,
783,807,205,836,403,020,006,765,705,208,859,209,717,419,233,720,384,841,325,
848,841,802,675,480,508,547,832,364,522,894,549,435,466,542,930,608,230,013,
253,809,748,144,433,571,299,679,025,902,037,543,171,404,416,394,754,865,983,
411,331,356,700,979,981,537,962,757,199,225,664,776,496,312,506,984,687,588,
518,133,218,994,916,384,387,812,952,644,513,410,569,008,644,709,354,607,463,
800,753,483,120,111,052,409,880,212,599,119,287,488,379,905,335,079,417,741,
146,725,254,690,403,957,382,897,712,014,049,972,720,996,059,963,122,843,644,
357,224,097,326,943,000,921,909,858,392,728,810,341,908,099,182,193,646,437,
839,794,544,641,944,842,781,877,027,346,960,003,713,293,871,928,605,509,546,
733,266,881,030,857,662,865,844,927,643,033,653,776,189,220,219,058,883,260,
490,338,828,436,585,077,624,055,326,395,024,079,477,492,538,211,763,232,919,
083,042,655,435,939,826,204,206,182,975,103,484,780,927,554,621,725,464,250,
662,868,468,731,064,620,528,776,029,850,433,198,836,518,605,013,956,684,001,
000,147,018,449,829,482,930,133,645,849,843,075,234,796,543,457,644,833,412,
576,716,194,887,743,561,673,184,295,322,903,944,313,980,505,443,940,741,680,
863,509,721,526,762,968,194,421,202,773,934,859,313,818,397,439,938,712,216,
412,427,579,109,191,069,239,859,860,686,863,375,039,632,335,616,204,860,853,
835,706,522,148,565,636,413,206,478,736,990,119,378,715,273,031,173,651,899,
644,023,733,039,675,011,479,345,322,384,767,407,811,481,842,070,406,242,224,
128,142,247,831,617,186,119,905,413,880,274,085,127,774,574,525,289,523,633,
922,616,496,738,571,671,977,763,267,864,148,010,787,912,548,508,650,849,519,
098,384,081,427,038,682,611,181,392,538,311,660,011,082,677,826,088,460,537,
469,397,016,820,869,971,034,937,081,093,380,656,163,174,526,500,688,967,779,
619,968,468,835,564,843,390,250,846,711,007,829,303,402,885,118,832,608,173,
144,718,446,766,236,137,801,037,255,701,146,390,552,089,995,906,815,385,348,
444,842,676,558,220,021,829,305,779,206,025,686,147,881,782,318,754,020,926,
148,834,892,191,713,710,292,252,659,913,902,139,328,404,325,971,874,847,384,
598,392,843,737,478,373,967,105,251,715,754,868,950,229,722,764,847,296,744,
774,043,532,545,835,531,124,191,793,311,252,857,976,200,260,906,101,354,976,
740,327,112,069,754,692,717,966,054,824,543,107,901,973,551,174,951,905,005,
825,618,646,506,561,100,706,363,064,743,190,651,028,050,801,276,664,438,754,
908,745,082,737,662,059,318,099,745,224,534,716,937,636,293,070,806,227,297,
943,707,224,602,780,373,152,310,828,284,860,990,185,567,356,782,898,280,291,
108,323,423,750,843,264,751,603,440,980,956,010,841,244,048,084,122,859,387,
907,808,757,785,666,257,294,450,770,444,393,017,939,767,881,793,214,374,862,
871,577,410,617,459,341,053,959,495,193,023,618,430,628,776,756,341,935,158,
230,760,191,939,721,002,811,287,981,572,797,004,228,623,487,054,578,611,478,
337,216,500,200,064,309,652,764,406,120,530,953,232,303,992,129,582,596,116,
838,253,194,089,065,579,442,445,403,562,378,769,301,221,019,474,864,734,094,
008,937,201,642,141,818,390,155,541,329,452,783,521,488,924,207,779,779,277,
725,117,473,522,750,565,609,846,989,702,449,317,306,310,747,872,210,098,436,
032,956,610,769,437,384,127,526,600,816,765,209,878,145,249,829,339,918,986,
439,229,325,666,371,509,728,410,871,509,977,046,583,533,230,321,314,353,923,
031,266,221,854,772,003,765,054,565,316,632,818,986,605,825,137,137,245,475,
410,443,644,839,821,654,413,543,589,360,640,817,510,792,675,410,348,086,218,
225,689,031,402,949,850,435,262,609,239,048,033,547,461,696,582,456,558,685,
817,771,811,161,371,179,953,320,509,281,245,571,915,552,309,072,330,261,516,
619,759,551,889,122,926,212,417,681,313,602,191,833,330,674,429,835,108,382,
294,882,719,654,715,485,759,567,141,651,673,304,720,503,726,549,456,971,498,
016,100,483,070,512,725,888,097,157,676,025,959,303,662,587,949,346,918,184,
168,475,671,832,390,688,522,125,436,302,487,997,401,957,261,264,049,862,167,
368,452,992,751,745,454,696,340,280,636,183,558,114,696,769,107,455,743,061,
107,267,138,573,212,681,818,524,740,213,288,637,483,869,305,442,418,579,690,
382,454,111,901,608,069,109,271,856,054,441,067,204,002,499,536,021,065,569,
692,713,563,713,281,914,328,695,307,351,082,685,638,110,870,042,092,950,906,
355,412,448,292,405,399,485,815,905,192,438,062,107,714,017,784,735,225,605,
821,092,367,888,337,847,699,622,810,759,328,844,901,807,261,393,177,259,940,
109,175,284,186,860,129,733,079,843,829,781,549,240,382,735,450,182,244,671,
817,665,304,100,201,636,389,011,113,156,431,679,514,824,735,650,877,396,286,
300,627,540,194,420,124,748,410,771,421,526,217,861,578,130,201,700,408,983,
789,163,762,877,474,834,875,481,194,702,801,476,733,320,940,759,461,791,164,
911,339,646,573,257,975,038,587,162,691,951,266,866,709,926,435,561,005,343,
079,801,523,191,470,636,231,638,088,693,000,296,283,511,863,020,522,192,572,
722,469,060,932,550,921,975,128,953,944,083,927,625,580,708,166,164,832,862,
664,995,466,424,589,714,826,572,990,646,314,422,373,390,037,765,857,873,472,
772,199,652,213,687,499,568,192,425,282,520,577,660,381,932,401,078,090,897,
699,719,848,536,254,001,758,310,336,636,622,990,144,064,878,404,126,339,536,
926,143,508,379,786,136,483,941,004,991,671,067,958,593,803,199,944,042,151,
649,080,058,990,772,946,264,658,429,155,758,517,770,169,677,421,609,717,692,
955,703,860,032,374,245,896,556,207,298,283,252,035,919,575,806,453,055,751,
225,367,647,505,488,862,789,438,919,794,141,850,100,967,155,190,102,567,321,
571,525,414,708,663,578,919,456,564,995,246,252,552,205,586,287,762,564,074,
337,643,784,996,560,241,429,654,141,259,982,113,215,895,013,474,811,324,829,
233,341,426,862,985,135,761,873,996,540,062,824,014,356,842,346,034,272,892,
655,533,865,278,396,475,261,107,449,793,599,383,098,944,607,682,956,046,658,
859,809,855,119,847,660,231,508,870,915,903,639,009,520,004,632,333,438,192,
608,680,520,931,641,874,644,683,027,984,040,514,568,783,370,139,039,801,226,
596,736,439,743,196,407,919,316,456,020,861,051,272,128,734,128,619,247,909,
328,393,482,061,121,022,374,472,257,266,516,394,471,394,935,924,908,112,325,
501,872,876,675,080,781,489,639,831,481,620,689,607,132,337,699,864,577,783,
136,862,589,524,365,214,987,496,027,415,920,484,837,749,347,171,322,704,556,
924,858,347,799,167,286,917,728,414,773,553,050,570,334,880,751,474,725,967,
564,338,313,703,097,515,731,594,732,872,755,491,289,681,352,945,259,743,891,
928,009,969,527,884,527,911,005,701,653,364,549,891,674,957,784,567,325,337,
339,561,921,650,747,167,005,421,396,903,829,370,910,103,787,241,083,964,550,
336,465,778,413,535,598,799,617,682,785,830,246,788,899,171,373,019,199,751,
146,488,945,998,437,332,875,951,215,110,371,970,566,770,838,995,827,807,642,
486,831,948,976,916,463,983,262,012,198,546,037,971,987,549,642,130,122,700,
385,510,093,334,481,594,039,408,984,022,690,300,309,061,102,821,282,901,769,
941,506,703,883,075,922,334,178,650,395,363,973,221,713,288,532,229,026,463,
093,704,670,030,076,407,386,114,460,677,463,276,101,134,393,498,600,717,738,
326,803,396,585,415,162,419,498,667,578,155,430,401,485,599,791,198,460,419,
963,040,037,768,517,114,807,146,448,643,608,571,571,537,524,358,460,721,397,
169,336,522,287,703,411,534,895,993,859,177,431,271,320,508,247,402,956,733,
420,453,844,787,907,042,461,773,819,257,082,953,089,491,550,039,786,256,441,
198,472,369,180,818,311,493,814,819,614,952,050,808,419,735,585,363,987,723,
805,101,012,957,622,056,254,415,579,105,244,974,841,302,311,783,327,311,742,
284,327,763,802,048,931,631,358,463,816,164,468,645,178,836,976,660,820,115,
146,652,768,546,896,959,155,380,194,249,800,322,321,312,623,901,080,016,553,
129,322,349,409,866,695,773,871,902,488,000,665,008,101,145,446,233,252,809,
701,139,985,165,211,574,524,785,868,503,949,229,845,945,898,848,889,514,626,
962,910,041,119,260,360,897,906,625,974,885,022,484,296,837,343,595,814,505,
222,707,684,928,753,687,257,718,505,987,256,098,949,984,474,876,199,981,909,
198,350,082,713,627,690,595,937,289,006,672,558,731,877,295,299,004,031,476,
969,419,578,808,828,906,358,540,716,520,674,525,029,526,660,736,874,754,461,
882,140,876,480,984,283,410,766,557,396,650,059,069,198,854,894,065,187,265,
835,718,541,452,753,674,024,199,093,717,580,120,560,687,011,243,939,457,819,
820,573,294,562,179,306,872,697,585,749,754,133,647,365,877,080,341,991,082,
369,855,368,595,413,317,723,792,664,136,447,687,475,636,966,799,707,899,961,
868,001,280,327,491,228,653,699,477,544,919,864,192,008,035,244,219,873,798,
788,477,334,655,929,363,889,478,565,796,527,575,782,276,957,831,802,189,326,
515,314,136,836,241,509,363,101,674,174,789,232,427,644,304,487,470,567,203,
607,391,645,714,763,904,113,942,641,517,154,970,174,392,835,378,262,290,107,
539,436,633,091,875,085,306,255,786,578,438,160,744,231,827,081,832,029,592,
996,113,383,349,852,656,519,899,992,728,604,734,723,512,713,234,678,192,167,
415,915,199,953,909,348,564,150,404,469,674,647,989,776,461,707,698,177,356,
504,542,263,659,576,160,223,956,596,007,671,153,027,227,261,269,174,720,216,
937,166,276,791,765,387,504,858,029,705,235,522,359,446,418,011,275,352,294,
539,804,190,059,821,900,095,556,255,786,896,762,445,561,594,688,510,638,269,
490,533,588,641,115,707,254,299,205,704,866,100,808,197,067,508,661,494,576,
905,590,864,145,045,413,135,850,398,202,565,089,818,487,728,046,798,730,510,
484,798,967,920,383,802,252,188,034,168,811,256,519,735,338,451,952,765,692,
726,033,959,070,104,760,873,449,880,983,686,668,088,297,485,773,206,230,384,
025,603,319,465,047,870,340,379,018,840,404,805,387,443,745,930,256,372,180,
676,022,827,528,497,825,001,508,010,014,389,915,829,942,367,791,975,950,187,
997,200,792,921,922,461,859,820,768,252,230,622,477,152,720,770,889,767,185,
991,373,629,180,836,580,725,989,005,757,761,431,681,360,550,014,228,176,539,
023,688,245,853,593,574,285,751,215,320,506,984,766,004,851,148,923,858,739,
946,391,402,714,479,060,078,386,829,991,441,160,570,972,151,225,791,142,160,
225,517,151,879,112,445,996,047,561,811,436,713,192,994,324,838,998,499,336,
647,995,306,082,045,931,721,276,013,853,986,846,912,407,186,969,675,311,121,
782,529,526,215,299,251,656,686,348,822,360,335,029,731,584,318,366,011,504,
233,516,875,260,605,957,808,444,207,578,888,450,865,935,653,610,674,811,228,
094,257,460,283,637,137,423,687,261,732,412,448,736,287,195,574,243,951,496,
187,984,936,978,132,681,407,207,994,184,871,426,110,700,697,207,640,529,956,
687,578,437,653,284,324,058,803,040,979,902,840,059,929,019,451,326,324,013,
546,553,640,939,125,079,594,505,597,965,068,724,476,705,635,150,440,568,362,
161,234,445,759,442,541,381,381,598,554,938,393,855,234,870,718,557,407,243,
628,862,401,882,883,018,127,693,747,478,522,231,500,596,792,624,428,288,578,
200,848,113,734,417,841,326,819,782,055,521,300,726,503,103,470,407,100,235,
811,906,517,830,783,831,088,655,522,585,400,708,535,866,106,308,323,103,555,
976,016,870,932,936,081,066,046,201,024,713,042,543,074,404,966,781,472,276,
146,306,504,866,368,680,654,572,645,268,149,794,303,781,485,100,155,946,775,
935,531,426,954,778,040,461,539,602,652,013,104,295,731,327,157,294,244,981,
013,469,515,182,227,319,608,260,271,511,283,686,680,391,583,058,584,739,787,
188,597,236,498,833,714,726,474,096,183,849,280,505,067,510,130,721,782,643,
750,693,767,971,451,590,997,126,640,363,069,441,879,751,912,927,243,994,634,
965,154,285,036,958,639,349,167,604,832,272,163,361,532,131,452,285,981,463,
121,002,365,687,055,342,042,769,882,551,912,102,692,106,495,362,603,439,825,
514,786,456,048,908,742,593,256,861,996,187,532,196,431,317,462,202,699,380,
402,031,396,253,988,647,492,791,661,005,106,280,780,073,871,709,149,691,116,
917,148,384,158,134,539,351,342,500,228,162,016,025,290,280,236,515,105,406,
320,825,026,209,324,000,498,453,394,169,859,046,925,278,809,150,832,051,757,
470,995,692,129,526,426,965,636,755,960,943,704,609,848,534,524,849,024,018,
363,735,444,684,454,298,811,526,773,538,161,392,484,905,409,277,800,117,584,
379,309,962,807,735,220,511,453,002,122,927,441,805,895,143,515,639,794,729,
693,191,366,406,289,759,645,891,973,650,518,805,679,026,036,101,131,281,996,
395,513,807,938,375,225,551,286,026,788,624,422,227,967,480,323,433,450,756,
725,808,057,591,663,928,921,580,486,265,767,813,393,671,702,989,394,615,455,
248,607,239,480,715,491,366,020,922,990,240,627,074,326,345,217,858,796,113,
667,652,820,287,984,147,859,364,018,742,539,002,400,876,265,033,394,506,202,
495,789,887,507,927,362,315,125,219,447,704,150,264,777,424,293,564,178,580,
737,392,312,772,072,420,909,420,867,167,506,641,261,738,971,007,372,821,065,
107,786,991,807,011,694,421,776,611,464,189,316,870,883,917,624,189,695,355,
490,489,896,896,062,327,991,649,173,991,548,294,535,798,611,449,842,604,878,
243,239,653,248,854,395,809,727,565,069,909,832,161,982,855,212,683,181,540,
613,333,505,107,190,086,621,149,386,482,826,550,450,683,530,676,274,352,180,
058,004,748,619,140,251,143,657,644,154,741,834,414,366,001,077,179,504,173,
515,316,327,288,063,106,305,045,740,688,540,616,996,859,575,437,491,409,654,
661,517,453,523,231,403,811,051,592,347,434,726,365,365,094,733,083,763,383,
801,731,382,199,955,101,911,866,619,301,255,142,076,054,030,984,736,545,943,
462,963,984,419,580,534,299,212,166,657,082,152,831,758,373,391,444,926,730,
450,866,351,192,651,882,245,833,885,875,450,323,494,628,719,462,023,026,223,
170,281,072,764,792,886,221,755,269,836,467,797,979,628,145,749,525,140,495,
439,187,757,742,561,602,935,387,436,597,289,375,210,743,088,354,539,296,883,
770,946,740,819,817,828,437,772,785,456,281,768,161,762,251,765,820,330,034,
711,763,087,346,113,096,950,794,846,468,133,910,691,896,214,765,084,695,530,
984,952,870,625,136,016,684,775,575,224,168,151,930,863,988,301,189,462,913,
892,399,427,264,742,642,978,124,099,528,530,572,307,039,298,368,944,270,625,
205,936,650,416,591,858,494,598,814,889,412,117,179,214,118,968,879,899,112,
465,313,761,231,878,147,224,841,300,394,851,712,324,339,363,166,619,741,926,
511,763,104,465,134,219,841,178,371,977,381,554,467,490,002,081,384,267,633,
835,887,183,067,539,861,882,692,489,455,304,816,426,651,310,361,753,220,226,
809,458,920,989,575,842,451,502,329,419,445,455,005,982,512,466,708,375,823,
055,778,426,638,715,555,485,943,761,975,057,766,785,908,025,230,255,186,654,
629,517,693,954,754,617,552,182,869,646,873,754,985,358,672,378,763,642,056,
826,145,307,099,530,530,411,490,312,369,752,424,979,732,795,093,125,137,417,
157,971,168,508,125,919,101,037,837,256,652,269,003,109,435,267,911,820,985,
840,245,872,815,988,629,296,873,380,875,423,234,738,923,095,727,426,202,871,
418,549,879,650,938,730,199,702,020,949,618,129,207,258,784,339,660,064,753,
230,018,515,577,824,958,903,583,486,771,347,269,731,188,756,379,511,380,741,
276,903,625,322,457,549,271,291,054,859,291,953,464,380,066,600,500,169,679,
869,243,280,422,030,597,922,318,301,276,148,774,632,489,416,045,132,091,150,
533,916,893,247,889,950,444,246,272,556,241,716,660,906,254,152,304,593,913,
533,545,631,593,823,481,005,243,653,869,011,363,600,319,740,983,230,598,885,
585,867,271,996,320,458,245,448,849,611,892,629,893,774,183,614,838,657,087,
797,571,380,939,478,947,293,978,857,188,275,103,385,273,615,793,528,898,402,
844,443,383,843,199,345,322,803,408,109,082,324,194,347,300,368,881,791,687,
191,875,397,856,019,031,243,334,800,642,681,731,401,194,368,457,587,331,684,
040,228,319,749,493,437,294,521,990,427,647,045,371,469,481,734,477,160,905,
845,629,760,187,967,880,453,661,258,009,461,394,875,757,939,637,267,533,505,
330,637,029,251,707,854,832,939,621,152,070,125,956,569,383,723,401,475,339,
966,271,275,844,550,446,305,814,495,373,268,598,629,052,749,077,337,156,550,
281,306,081,568,643,695,375,098,382,027,987,985,072,765,542,436,981,955,435,
784,236,254,801,105,456,102,297,219,287,003,750,864,981,713,747,155,712,304,
204,199,584,901,383,718,165,333,058,599,697,775,748,505,331,318,063,980,989,
110,570,843,160,453,924,433,501,856,763,971,195,189,791,715,998,252,943,276,
992,003,952,170,763,476,115,532,151,628,109,315,959,086,134,849,352,334,438,
797,882,190,525,681,001,995,964,903,245,017,069,351,931,685,034,950,714,801,
136,051,689,947,131,890,849,782,940,958,583,979,731,099,047,450,886,581,563,
194,840,475,204,246,573,067,187,867,023,862,824,102,729,751,399,931,534,286,
905,802,785,244,353,783,865,774,865,742,480,038,955,170,320,984,809,317,277,
067,602,704,189,467,036,139,356,088,470,004,389,731,118,324,706,098,388,328,
941,082,051,769,927,076,086,090,171,482,829,111,622,291,685,222,536,724,999,
566,975,527,812,019,332,664,604,955,666,618,944,392,954,478,526,768,302,291,
926,416,238,644,852,063,653,803,978,949,926,191,580,663,044,589,989,177,469,
441,898,839,802,531,660,059,045,105,049,772,107,202,069,608,852,857,301,302,
689,274,790,716,379,276,905,599,379,123,532,250,733,154,719,030,513,413,716,
265,060,577,213,431,909,235,589,131,762,190,943,678,589,255,562,898,142,608,
449,642,238,258,157,348,664,889,217,533,756,296,577,036,435,778,326,542,556,
617,466,587,767,053,992,038,719,457,383,740,388,472,310,663,743,954,106,427,
505,472,153,358,617,202,653,875,834,717,864,218,000,049,418,789,873,551,766,
165,780,164,038,396,322,791,489,060,013,937,698,221,276,474,761,850,934,280,
919,607,629,297,843,854,019,662,071,705,210,813,044,976,084,597,964,766,694,
783,700,147,797,487,002,314,190,710,793,388,170,168,466,456,224,020,138,322,
351,263,269,046,491,830,488,767,329,563,444,127,009,196,152,971,676,204,167,
310,913,532,488,362,371,335,669,160,122,490,016,362,062,036,145,327,708,870,
886,714,332,055,593,118,164,604,995,424,328,333,618,953,124,893,075,022,932,
441,871,462,263,140,893,202,543,902,835,457,550,446,161,881,039,242,739,891,
667,825,795,061,061,042,851,273,879,560,744,101,927,846,275,027,369,206,861,
236,903,360,325,742,774,321,208,912,405,776,903,225,026,857,546,527,351,785,
864,819,535,018,775,285,075,541,145,660,124,980,847,415,715,889,258,181,613,
779,798,263,141,207,247,192,760,127,375,379,342,905,809,492,714,560,274,591,
801,898,584,426,320,767,588,364,233,847,266,014,644,655,799,311,842,944,314,
013,425,461,735,300,975,138,644,391,888,704,047,295,052,894,338,401,910,715,
412,015,877,739,681,293,561,256,126,073,047,258,063,400,133,477,013,587,604,
944,124,630,020,076,696,470,127,772,676,694,804,335,805,833,694,058,428,164,
687,615,558,617,077,451,686,060,978,635,147,694,821,517,306,046,505,167,569,
443,820,644,665,963,219,231,574,735,518,040,400,273,363,435,137,716,716,839,
655,221,704,691,647,965,195,293,179,562,089,123,793,967,083,538,236,280,368,
017,757,302,681,963,880,479,944,593,491,449,018,176,854,277,378,573,238,914,
579,585,225,047,776,689,733,119,350,943,309,916,209,015,590,434,879,190,169,
014,836,587,898,145,584,452,596,427,836,626,751,403,239,558,118,360,532,433,
639,660,380,216,037,634,757,681,740,932,536,758,419,433,606,585,865,332,271,
845,013,110,860,102,092,422,906,421,228,510,640,273,353,050,883,242,400,205,
271,441,261,820,912,253,051,927,692,117,373,695,229,239,128,775,983,867,879,
886,751,858,546,292,882,353,140,986,788,599,885,982,898,264,576,493,515,731,
892,822,435,128,336,753,822,760,873,907,592,130,455,294,272,918,625,895,743,
137,502,766,681,361,554,139,397,538,105,517,243,304,529,214,488,928,347,677,
993,632,163,494,410,960,910,061,391,383,784,377,845,427,755,883,695,027,366,
639,922,844,073,418,022,787,499,166,093,435,260,988,442,246,828,517,607,338,
680,979,442,847,673,857,267,270,944,043,260,194,975,721,061,649,347,331,240,
669,246,624,603,280,795,005,882,770,646,241,711,289,369,842,333,274,747,554,
190,344,917,642,094,627,184,127,597,487,494,962,054,774,506,309,990,109,257,
404,384,082,028,822,432,910,393,702,527,182,775,516,180,532,012,913,172,364,
099,571,812,785,856,366,320,466,521,831,597,745,874,867,224,412,394,263,022,
071,341,627,737,293,433,361,165,837,021,223,204,757,737,833,301,671,533,998,
708,689,344,308,143,249,077,766,146,902,905,479,890,122,618,759,029,699,089,
322,459,287,316,751,298,601,248,801,141,936,544,201,972,548,686,350,479,025,
161,829,170,923,659,580,659,336,263,827,431,908,063,404,883,652,727,265,096,
224,720,578,420,263,710,618,352,099,554,232,638,710,324,395,272,142,633,320,
006,314,421,923,846,814,952,200,245,455,497,523,503,998,448,954,408,889,233,
017,356,570,983,456,099,712,215,275,916,418,560,997,638,207,418,233,451,027,
445,712,599,015,236,931,294,529,289,071,722,634,205,283,111,749,300,265,122,
402,795,553,789,965,469,286,104,602,583,760,156,980,819,670,598,772,799,281,
603,900,800,284,945,325,324,993,200,189,232,736,010,290,044,836,965,547,121,
871,884,675,351,077,158,436,379,936,039,485,774,740,431,200,208,079,981,369,
612,238,024,058,370,536,211,222,825,668,268,660,470,668,507,538,437,111,040,
859,727,324,168,883,787,480,672,046,740,883,768,118,813,571,130,152,237,514,
118,851,029,110,489,116,988,691,424,950,369,255,509,246,562,247,563,460,793,
762,457,477,586,112,945,040,922,917,206,328,660,213,721,656,889,627,088,740,
568,057,020,716,755,693,706,450,005,080,325,218,652,757,361,208,855,845,578,
975,201,010,121,982,898,989,847,435,750,926,840,364,642,152,261,046,210,623,
782,642,093,208,394,838,604,773,568,507,343,007,212,183,483,520,757,167,898,
371,058,184,044,437,290,202,245,608,136,650,106,724,744,554,678,182,561,367,
555,739,868,124,264,906,408,248,605,446,324,937,334,024,634,023,122,916,878,
717,530,965,061,511,721,658,845,333,555,116,349,427,576,238,067,397,496,199,
316,372,084,253,808,169,059,760,454,089,136,032,063,586,300,713,320,437,943,
043,546,865,818,938,079,325,262,580,994,403,339,109,714,537,104,185,823,488,
665,716,623,674,276,863,764,979,980,165,144,986,201,006,313,521,470,178,111,
081,096,394,559,177,592,635,344,946,078,429,982,740,342,954,482,963,885,095,
349,542,081,670,625,167,393,452,356,704,556,704,387,611,125,634,671,832,792,
062,930,591,580,591,178,627,787,220,426,774,605,093,803,456,784,061,192,203,
936,732,905,819,416,783,939,132,922,101,241,399,907,071,640,892,698,344,201,
030,521,691,949,282,395,965,303,681,482,798,441,336,869,474,973,750,694,422,
921,131,018,553,599,411,890,467,409,156,128,454,468,900,560,882,540,617,602,
037,172,477,781,950,863,164,699,987,703,997,352,463,731,106,785,374,591,619,
842,719,681,857,007,337,298,299,437,487,821,420,946,692,178,925,539,598,218,
543,043,589,161,125,656,049,816,688,314,681,755,499,065,120,126,640,507,246,
630,548,733,855,856,737,698,316,891,744,753,520,709,432,177,912,354,395,053,
052,014,162,910,044,975,557,345,418,640,169,552,035,977,675,211,248,854,940,
631,653,329,744,136,737,731,722,365,148,647,945,663,553,238,089,009,574,940,
997,979,749,947,619,257,150,575,733,377,600,934,362,811,628,575,583,060,520,
414,090,953,954,346,087,014,202,565,081,098,216,555,536,625,638,315,433,059,
317,037,235,600,505,244,204,493,759,700,710,295,984,653,351,861,056,084,736,
680,991,253,438,508,990,673,748,909,602,063,439,983,788,243,119,378,168,068,
019,973,640,775,339,226,930,179,356,045,355,571,502,790,859,028,718,591,032,
501,202,118,773,026,967,931,731,860,866,662,378,136,557,805,454,179,256,421,
031,091,530,624,989,700,210,907,910,559,043,494,777,357,188,042,054,085,009,
134,065,327,458,155,921,794,273,561,693,128,897,423,584,038,807,898,994,997,
147,647,604,349,252,457,947,925,258,756,907,209,913,845,834,483,554,150,317,
667,286,981,400,516,820,954,969,284,262,091,837,081,359,738,140,267,202,418,
904,888,621,532,758,581,928,274,331,920,255,744,051,538,785,226,202,385,265,
455,139,472,501,322,813,202,031,419,645,160,135,325,975,743,831,332,890,924,
338,187,004,769,197,029,670,390,352,839,060,893,043,307,256,211,823,484,340,
749,605,232,927,159,394,530,190,679,138,046,196,967,036,474,518,496,080,119,
798,124,172,566,306,623,791,556,093,808,384,597,426,444,126,472,424,522,082,
424,055,354,428,855,669,866,672,114,803,953,659,059,264,561,214,823,196,416,
261,003,392,169,475,597,310,209,432,907,958,436,968,986,339,231,469,369,804,
220,690,351,590,435,860,383,024,330,198,923,567,504,544,972,838,720,693,216,
300,539,228,115,005,991,433,672,000,330,357,189,215,677,103,937,799,709,114,
857,636,518,598,258,760,295,001,460,808,901,107,653,467,856,695,394,245,493,
369,870,357,526,582,287,333,818,550,790,183,263,206,856,279,784,876,868,024,
203,080,576,418,411,863,879,880,817,362,959,764,398,990,409,345,564,235,668,
142,709,664,201,684,932,200,400,955,685,343,174,888,295,405,557,864,327,687,
716,721,090,680,590,518,287,269,879,585,837,494,060,300,364,334,067,900,349,
823,031,485,495,966,341,878,166,436,326,584,404,701,378,612,175,721,782,286,
588,114,524,344,541,726,661,928,485,368,531,196,193,247,032,151,424,345,214,
737,784,135,824,390,351,898,587,239,810,280,448,518,921,675,142,608,426,997,
697,221,489,035,928,634,631,202,553,667,763,996,950,777,042,970,805,443,951,
477,077,178,170,272,444,996,071,571,180,197,595,869,050,407,745,333,477,945,
992,967,243,221,385,096,389,181,275,028,805,277,015,729,732,322,873,308,461,
887,674,442,667,403,851,429,106,463,085,494,569,263,534,470,141,670,564,324,
436,584,197,115,002,225,273,639,020,134,098,070,543,387,725,225,341,073,122,
476,292,309,454,339,427,704,048,082,184,145,559,058,623,708,580,210,768,103,
204,292,966,714,858,734,795,888,913,593,839,699,571,342,603,996,288,155,677,
211,914,108,873,286,872,735,502,338,546,210,758,738,510,006,109,980,252,489,
305,381,981,703,215,843,069,361,571,219,965,279,911,287,046,554,995,968,365,
344,499,173,858,296,769,100,146,245,928,547,258,909,118,261,429,106,542,525,
005,258,512,971,939,042,833,087,932,151,055,981,149,900,304,982,528,568,473,
786,348,485,492,326,144,036,475,597,597,561,194,451,133,435,181,425,125,170,
799,551,249,966,729,594,951,339,922,708,652,606,524,114,100,279,814,009,095,
583,407,281,565,203,452,921,989,597,241,247,446,711,625,210,086,283,546,210,
495,212,894,817,814,297,467,856,798,428,807,482,407,298,795,662,232,194,274,
822,940,361,784,566,021,983,169,300,363,066,332,870,888,102,097,362,384,993,
046,519,203,107,976,548,169,756,152,433,398,851,700,619,639,610,027,340,658,
970,288,137,745,627,726,811,093,292,428,452,123,524,879,536,703,006,114,345,
845,402,498,861,529,246,429,155,236,185,521,080,171,679,921,780,737,068,979,
817,647,179,774,326,069,848,357,051,311,283,830,157,200,874,922,810,106,181,
751,065,444,316,806,391,522,747,823,846,386,890,222,410,866,305,946,346,425,
637,334,960,722,432,861,334,609,224,392,466,027,925,041,019,962,005,270,416,
964,094,139,828,754,056,919,718,221,011,408,388,171,000,479,483,513,256,872,
583,147,509,866,887,024,232,091,515,628,582,314,561,890,829,364,309,702,142,
596,988,421,934,742,093,959,113,674,096,632,565,192,178,789,864,233,461,069,
005,657,916,355,223,099,567,874,927,218,244,547,262,141,679,911,933,809,231,
353,606,498,211,890,233,228,210,616,492,703,120,834,451,087,790,766,676,722,
505,760,129,455,183,569,312,917,584,420,584,643,755,280,414,065,194,504,306,
413,471,559,215,974,466,574,629,391,953,370,232,772,561,180,800,499,112,706,
862,493,017,539,402,721,672,072,724,908,681,300,414,854,039,956,449,435,729,
912,942,939,432,082,221,270,943,871,374,017,578,221,700,170,454,627,014,074,
439,263,284,944,186,407,273,760,651,699,097,740,419,452,897,283,404,855,182,
877,163,959,667,863,571,768,435,558,771,452,830,954,540,250,103,640,975,901,
222,579,184,139,613,435,528,758,848,155,671,863,246,134,743,850,406,278,838,
691,292,952,528,645,425,596,849,191,316,223,062,875,991,022,612,478,974,153,
719,283,878,851,474,649,134,830,641,460,553,246,354,713,486,753,867,961,771,
496,847,397,040,558,592,286,917,310,274,116,306,517,682,996,288,631,904,443,
260,391,284,153,039,308,131,490,553,972,265,571,550,381,660,780,504,655,330,
990,669,964,617,769,337,022,478,713,395,367,642,656,241,004,382,526,129,753,
656,104,427,852,984,551,271,888,953,094,856,362,773,863,809,248,326,902,952,
969,629,033,459,126,423,325,783,435,067,966,463,030,001,866,546,233,675,629,
794,186,903,865,792,559,244,848,531,214,697,790,767,527,512,398,648,307,060,
857,257,157,773,511,955,200,904,390,968,401,117,355,790,030,681,135,202,071,
831,751,151,236,740,400,790,598,609,046,447,824,648,636,572,317,474,831,949,
795,277,212,272,651,102,137,788,417,083,454,549,916,919,096,164,031,150,294,
646,617,225,663,208,957,647,346,070,675,435,110,281,723,087,515,144,837,263,
511,851,783,687,312,064,363,163,345,723,982,864,477,813,278,400,003,608,929,
217,498,926,150,055,364,574,937,009,082,914,886,996,580,131,570,468,017,883,
100,755,657,195,680,265,822,282,895,595,754,974,759,571,236,934,005,638,756,
887,784,127,199,109,407,526,837,610,591,811,651,142,846,926,512,589,541,599,
458,416,021,307,628,865,395,833,407,496,364,742,062,186,575,590,270,489,606,
272,458,273,471,048,138,720,726,445,804,533,510,711,969,321,233,274,833,825,
039,389,935,553,227,475,825,703,203,753,924,039,757,571,065,355,891,178,186,
492,275,757,786,466,907,485,028,667,550,078,147,127,684,758,860,114,838,293,
715,877,866,427,270,890,215,835,395,186,417,968,062,869,336,566,320,893,738,
754,755,830,735,516,593,408,532,193,192,917,736,201,445,970,871,267,617,921,
986,930,615,776,981,301,585,678,731,939,912,091,477,275,189,256,017,574,241,
112,808,882,305,066,236,287,587,865,425,999,662,559,730,305,982,760,496,800,
426,661,113,472,202,841,646,386,863,962,196,584,447,576,512,293,386,328,171,
633,878,888,290,401,271,190,839,344,139,323,169,796,051,548,630,567,011,011,
409,149,884,934,013,170,595,536,786,875,291,083,111,812,231,304,821,541,449,
436,880,579,730,180,886,198,143,544,206,098,050,666,798,598,894,613,905,630,
360,178,840,424,516,778,378,176,953,837,968,630,654,579,081,777,863,256,901,
925,747,062,043,576,199,881,069,958,471,636,174,226,824,484,630,782,386,721,
624,456,115,378,799,619,252,347,187,595,831,415,606,359,189,037,987,356,240,
159,350,572,496,142,853,876,922,997,235,940,655,777,648,257,174,265,293,982,
368,267,749,689,542,335,684,992,485,387,397,385,374,026,404,827,702,457,557,
900,690,090,928,839,009,138,641,978,412,070,981,659,401,918,408,977,565,675,
819,536,893,240,283,087,279,233,923,046,700,258,042,739,762,148,637,722,305,
964,043,471,517,244,842,792,794,895,048,724,611,693,634,112,157,590,237,725,
375,959,141,972,040,647,062,612,863,878,706,925,408,683,129,772,443,299,466,
881,535,620,966,484,134,199,983,940,643,717,238,657,738,696,964,302,041,194,
212,336,361,808,375,953,609,060,088,002,691,247,080,169,499,610,117,947,687,
247,291,231,563,863,001,249,163,001,918,524,811,255,036,629,906,328,740,961,
054,024,845,211,563,313,507,988,758,054,697,809,359,233,927,890,475,189,197,
504,739,073,682,644,295,786,787,068,731,586,350,447,318,138,262,939,881,848,
122,426,371,341,979,123,569,601,643,538,706,987,805,741,325,368,424,625,165,
167,911,419,592,961,052,356,653,958,454,842,234,420,633,024,474,136,030,637,
933,532,404,779,016,425,261,966,556,161,567,225,735,145,657,624,183,191,599,
452,199,178,517,574,292,653,637,330,935,262,106,753,130,955,381,395,679,028,
506,009,713,590,883,737,212,057,228,606,346,359,237,057,149,279,026,825,376,
655,985,754,927,726,535,718,799,758,215,173,482,581,482,140,107,265,586,848,
501,573,320,360,009,587,821,311,487,182,510,757,460,200,074,773,556,028,467,
001,506,314,385,534,348,562,525,207,223,832,426,995,410,074,881,124,028,568,
124,425,353,195,981,470,743,519,064,591,736,904,350,349,099,981,867,857,040,
226,833,243,486,701,904,820,459,310,404,132,024,957,933,555,980,369,401,925,
549,108,705,829,683,120,641,625,191,011,561,173,879,795,375,358,440,988,990,
157,522,827,481,168,206,749,283,172,103,509,881,184,970,000,220,914,655,224,
959,763,038,836,251,259,449,950,923,965,604,180,790,117,930,039,574,471,154,
300,758,509,731,322,076,252,326,468,738,025,733,967,927,990,398,170,480,511,
196,080,401,085,298,140,515,414,369,721,573,663,556,245,710,331,466,767,264,
893,472,761,184,200,858,755,726,369,551,917,731,771,281,462,460,090,025,598,
884,424,456,169,521,566,296,153,747,884,008,062,484,898,782,624,917,567,438,
923,864,519,446,814,639,674,557,862,759,263,133,768,840,418,992,067,361,959,
352,669,671,743,164,895,550,649,999,235,358,614,798,408,149,024,998,822,989,
930,297,659,203,174,406,670,026,807,812,116,667,168,934,097,796,790,971,127,
933,088,343,472,258,817,913,305,723,456,198,294,601,457,010,261,897,861,911,
597,160,912,379,956,846,935,431,586,732,690,960,392,895,588,691,015,216,770,
008,123,343,960,770,534,818,023,765,793,002,838,187,002,252,540,045,768,858,
247,168,737,253,442,147,834,099,266,631,879,729,435,077,721,845,816,140,398,
239,879,433,824,829,594,761,376,718,437,249,965,794,922,270,624,734,418,134,
218,089,818,404,739,291,861,417,502,968,344,421,509,009,521,825,609,229,915,
995,684,031,443,775,837,362,923,176,788,636,066,294,546,568,047,792,380,393,
145,665,882,822,420,251,294,570,550,759,021,797,750,392,871,009,948,699,637,
609,817,816,301,482,835,304,697,214,137,463,566,406,560,853,971,799,528,652,
949,220,854,095,282,483,801,348,322,061,412,756,517,833,113,924,518,420,452,
522,359,697,317,239,154,700,841,481,270,840,891,504,713,240,051,728,454,186,
956,548,594,353,476,397,717,883,032,218,087,908,419,879,639,323,247,791,437,
654,527,416,403,460,708,940,783,584,619,566,859,510,148,650,769,876,481,548,
268,000,326,541,518,364,564,502,165,139,179,215,064,366,371,542,120,811,213,
986,420,669,128,104,851,618,249,810,435,389,554,330,536,980,158,992,012,988,
378,871,797,230,531,170,223,050,751,973,750,453,462,523,186,082,166,948,147,
371,823,980,785,292,508,525,891,051,518,635,914,577,157,579,939,068,420,052,
049,002,414,131,010,128,187,576,105,982,013,217,941,341,195,394,127,536,662,
347,310,917,459,708,338,632,350,145,863,345,628,075,557,126,254,007,373,526,
613,912,547,834,309,760,552,343,883,237,840,214,398,084,723,459,649,471,292,
659,523,609,940,240,498,698,838,487,414,131,474,325,104,554,135,692,943,009,
489,126,808,724,981,177,549,082,672,319,642,064,273,450,318,166,798,887,814,
009,180,892,940,957,755,362,525,871,768,942,629,269,447,951,391,380,163,125,
933,076,520,457,534,727,357,944,669,078,304,037,799,440,702,247,860,281,215,
067,982,309,802,918,174,843,759,516,956,501,866,846,859,407,639,737,009,789,
869,774,775,213,055,745,454,363,942,972,410,103,908,676,849,433,933,228,536,
715,205,427,622,826,223,416,733,487,756,728,296,445,367,360,633,820,183,852,
054,903,387,327,407,431,698,083,927,315,711,991,520,322,147,651,638,079,853,
845,927,963,540,786,376,222,182,007,867,836,427,042,697,634,204,254,713,945,
603,955,462,121,692,996,328,336,913,056,533,816,600,413,376,705,551,026,032,
799,181,524,239,910,453,889,695,717,878,290,194,879,841,032,705,463,776,928,
193,438,959,934,871,404,921,529,982,071,005,654,461,856,930,664,758,573,311,
518,881,452,009,985,800,847,415,161,395,217,893,674,645,276,756,088,937,431,
909,593,434,994,152,936,557,912,272,543,556,355,575,109,526,220,895,944,541,
428,606,755,110,019,492,544,446,453,818,899,032,123,535,120,908,665,765,754,
878,583,175,873,060,501,357,620,903,901,527,324,947,262,829,473,297,201,321,
384,030,336,175,216,911,413,755,865,803,383,602,995,698,188,990,342,152,125,
569,559,018,458,904,150,432,326,481,332,797,517,816,046,545,887,210,816,811,
591,554,075,347,620,768,590,192,917,977,600,033,115,953,267,808,579,577,988,
607,591,315,799,686,058,583,096,336,803,982,720,210,488,855,475,925,414,391,
049,917,391,382,159,888,382,125,430,368,891,380,405,025,230,161,695,682,655,
787,480,224,058,013,174,682,764,291,749,626,758,533,085,639,301,695,254,474,
475,837,121,293,554,537,952,123,552,797,486,367,216,851,290,176,297,617,915,
881,161,210,277,276,498,796,120,063,667,972,683,109,240,887,735,400,375,080,
914,507,529,679,679,409,047,121,898,752,235,566,896,336,995,880,099,849,946,
881,686,274,028,847,971,743,097,977,963,360,333,954,431,396,994,588,122,183,
745,634,826,323,674,684,364,221,100,703,235,658,807,261,778,047,779,417,607,
020,248,116,161,494,199,869,451,145,180,642,750,977,593,757,320,488,818,603,
506,008,906,491,964,063,247,736,396,225,433,583,893,850,419,832,485,568,872,
266,190,587,130,649,070,829,497,625,202,122,377,994,481,652,807,218,472,251,
673,077,060,385,779,788,647,904,386,358,900,388,513,531,960,030,619,250,118,
258,812,815,981,687,806,605,341,293,410,581,251,230,838,753,081,332,599,929,
841,240,722,888,206,290,717,935,346,387,912,823,907,809,639,644,851,902,189,
232,995,238,777,531,235,136,870,236,298,301,543,642,035,442,601,509,777,743,
582,516,335,702,894,558,143,198,814,884,285,926,152,787,924,165,503,576,300,
589,299,852,538,086,997,298,995,964,326,533,791,270,060,948,054,239,730,566,
388,590,442,004,841,972,046,715,248,599,480,681,746,060,778,284,645,656,971,
235,744,935,076,133,673,083,226,523,167,778,242,900,070,288,848,589,205,437,
076,340,635,340,736,220,870,627,488,605,063,554,727,925,339,342,973,160,396,
268,063,343,464,091,086,376,378,399,729,266,226,602,678,089,083,919,598,099,
474,963,483,416,758,318,194,410,994,344,804,776,859,391,671,839,124,085,078,
422,257,522,058,448,790,659,510,435,290,685,196,054,989,920,624,929,137,508,
952,616,266,423,971,273,896,300,980,896,551,852,600,606,011,794,062,765,449,
708,738,945,701,181,962,808,529,657,995,178,357,483,597,189,288,399,111,137,
030,924,293,940,880,400,850,861,248,787,991,251,647,147,589,506,743,033,419,
193,918,242,018,778,391,271,118,801,750,357,272,673,349,530,417,545,335,224,
090,443,729,186,152,172,355,174,052,499,883,881,096,943,083,458,791,839,779,
474,408,702,101,155,735,063,537,495,769,225,059,024,671,198,832,035,658,298,
635,692,106,524,686,338,064,215,795,905,540,947,722,439,356,771,338,320,973,
292,168,161,516,482,258,544,695,549,012,048,071,278,598,418,886,065,138,342,
124,152,955,158,784,208,063,048,611,742,058,225,745,039,836,404,064,939,472,
516,961,249,826,073,088,151,907,544,877,360,413,086,988,848,260,281,553,165,
362,926,616,994,022,584,773,241,934,949,369,799,425,301,907,152,206,562,903,
013,643,535,024,157,537,903,639,265,609,245,532,898,306,610,781,975,575,968,
736,939,147,950,381,720,511,794,566,177,323,629,498,945,615,543,567,981,085,
069,830,584,322,979,201,316,004,031,017,210,392,309,552,755,703,860,543,899,
313,843,416,013,309,990,981,322,470,975,572,081,050,102,526,954,844,726,676,
879,563,217,674,075,967,587,517,410,835,959,574,309,989,463,926,960,898,109,
512,519,639,675,188,598,797,509,279,722,119,211,164,440,625,994,997,033,600,
288,475,253,908,586,344,238,114,314,580,893,017,257,270,631,728,774,886,267,
748,114,268,074,943,865,191,935,000,596,651,504,101,120,739,767,988,751,990,
236,757,187,695,479,242,497,567,332,831,794,175,174,299,188,025,142,211,331,
536,710,270,267,707,239,279,694,366,823,927,351,083,559,938,213,831,422,095,
082,355,078,291,715,197,488,756,953,258,395,726,242,556,559,220,454,237,852,
950,234,301,368,589,475,509,099,868,648,889,059,916,257,807,664,107,601,828,
916,637,692,902,191,045,319,851,074,555,350,563,051,282,792,238,032,625,699,
347,232,937,702,298,053,924,496,015,270,479,145,343,924,655,983,858,077,386,
284,590,243,708,917,439,051,817,571,105,493,583,258,598,557,917,423,708,047,
378,237,838,604,437,266,624,550,191,064,656,044,904,111,833,054,619,024,904,
504,781,375,521,149,582,144,750,188,139,895,765,454,905,513,309,039,370,907,
537,176,507,125,110,422,791,105,172,460,422,203,025,695,127,277,868,426,616,
862,196,185,445,076,853,110,351,065,937,540,249,252,026,712,602,351,174,764,
120,846,411,925,911,615,904,473,373,356,081,058,545,825,086,886,420,051,563,
777,753,202,329,554,383,165,015,159,021,533,951,952,807,664,140,522,003,573,
893,662,280,659,666,441,835,239,592,850,533,931,101,672,348,067,859,869,616,
791,710,970,620,204,621,548,358,680,759,915,977,690,270,180,850,981,421,456,
250,940,043,106,279,566,334,274,192,500,434,944,268,827,192,000,082,866,021,
024,974,976,988,035,245,527,586,716,832,729,827,772,403,272,014,613,930,510,
535,570,970,673,845,188,598,288,170,830,840,385,936,969,814,193,794,991,145,
903,147,505,208,460,683,625,937,664,195,164,269,435,175,212,027,955,011,010,
653,243,502,904,289,056,089,129,383,606,119,003,415,525,668,895,522,309,151,
025,802,033,954,046,405,863,823,340,914,582,998,255,392,964,961,874,041,361,
795,212,158,658,142,995,575,765,380,836,075,898,591,139,123,190,434,208,037,
858,186,890,364,819,252,297,807,626,811,440,728,548,067,610,505,856,304,204,
989,925,718,236,512,363,409,884,441,751,455,544,562,455,315,104,568,047,795,
529,055,022,009,931,246,185,523,807,509,648,610,544,207,507,655,156,879,014,
668,998,380,196,762,767,589,184,329,097,220,867,789,615,545,143,915,534,793,
775,664,332,705,661,285,202,487,353,192,997,224,675,347,357,227,442,908,949,
546,653,207,073,875,070,437,131,401,929,565,663,610,409,302,783,016,041,785,
899,855,307,424,184,420,694,063,049,834,581,118,393,744,406,668,308,228,812,
366,586,339,429,629,349,430,980,176,746,014,593,721,676,137,987,064,668,962,
655,964,726,870,464,821,882,496,718,264,621,354,552,933,137,892,413,595,388,
753,189,215,234,096,916,959,999,898,910,706,165,196,588,527,064,332,873,733,
377,870,612,038,159,990,710,362,100,466,636,761,198,457,701,550,293,717,088,
847,691,151,274,982,191,081,598,664,943,025,702,434,286,804,276,312,054,815,
760,354,616,707,067,945,653,075,511,943,344,281,320,314,460,636,284,990,676,
804,610,479,675,271,205,322,312,921,831,053,163,910,339,309,500,969,645,238,
108,461,827,415,675,039,464,601,276,242,187,107,178,839,791,638,207,225,853,
039,869,911,607,289,541,753,815,503,260,342,274,995,140,728,454,112,190,223,
172,521,318,081,527,828,976,044,301,940,588,878,956,002,080,031,678,871,265,
935,240,999,227,446,756,866,706,161,591,977,333,958,743,695,510,030,488,468,
274,019,647,729,185,663,306,901,521,651,379,784,735,092,256,431,708,085,468,
852,433,823,474,803,530,062,316,066,508,421,947,861,459,192,024,508,058,987,
681,072,051,507,641,558,031,369,295,151,757,130,313,390,870,806,853,888,319,
353,503,001,645,364,535,720,283,202,708,830,749,817,772,352,202,896,274,979,
110,771,688,913,131,521,123,111,761,528,890,091,622,179,082,460,216,097,380,
194,064,668,693,034,972,326,322,077,359,893,975,291,922,810,844,150,361,882,
944,509,547,645,527,888,701,110,244,306,499,391,980,418,480,383,976,871,955,
522,583,259,461,030,862,705,863,845,852,715,186,689,321,158,554,637,392,833,
241,099,057,949,796,516,858,833,491,055,582,115,141,722,776,521,088,991,431,
644,765,758,346,963,564,511,028,785,290,571,635,769,498,502,663,410,324,136,
557,004,681,922,194,179,876,929,569,754,474,296,946,597,528,965,244,655,215,
352,999,758,784,770,487,659,155,495,860,819,341,684,682,422,749,713,422,511,
689,489,119,150,978,217,031,266,339,345,403,272,088,962,395,601,798,834,173,
773,548,492,467,638,429,301,398,395,659,124,285,987,979,227,916,990,122,833,
348,829,746,776,910,185,641,434,966,528,950,763,764,645,395,812,953,476,459,
702,606,264,638,671,668,374,496,570,359,538,218,017,877,153,768,013,793,386,
196,070,613,194,982,916,296,962,278,219,001,137,184,845,613,942,062,853,187,
147,625,730,247,208,577,864,282,516,894,663,940,425,977,852,262,579,185,517,
907,159,361,745,976,640,031,883,814,025,650,389,420,367,697,949,541,985,568,
714,481,430,778,917,873,340,385,084,703,262,757,083,146,537,261,130,791,217,
089,560,547,048,860,934,272,707,978,194,506,794,931,202,710,295,591,510,960,
332,433,037,279,363,207,390,634,313,372,469,200,622,765,828,184,190,073,930,
029,736,087,632,774,444,403,541,372,647,170,317,687,771,523,415,104,134,433,
689,892,690,711,095,804,817,196,703,743,268,087,709,040,769,750,319,101,429,
540,968,551,526,777,347,444,934,449,303,677,747,998,574,612,330,715,067,117,
153,673,707,969,455,854,569,912,342,308,887,058,489,048,549,292,991,496,467,
189,588,888,441,280,343,231,921,802,058,795,716,466,390,501,920,835,251,410,
856,855,922,559,145,059,624,539,868,303,237,049,427,474,647,834,179,117,545,
717,919,979,164,549,790,905,649,707,756,772,106,774,842,227,558,819,029,427,
487,965,630,681,328,753,865,569,907,429,501,115,933,609,098,942,956,411,967,
315,525,687,149,432,365,774,239,181,905,040,048,551,994,842,301,865,610,857,
089,212,889,248,128,608,469,352,899,996,322,115,309,406,307,134,325,238,992,
882,961,806,120,173,068,329,732,043,920,070,676,585,677,925,987,303,864,207,
842,195,380,831,695,192,839,814,639,685,491,875,127,063,926,271,070,717,870,
987,110,620,480,134,149,949,169,943,328,343,581,594,679,548,507,384,617,942,
900,646,216,321,245,405,849,584,098,675,521,636,862,373,252,743,463,222,410,
175,883,974,205,960,740,268,994,353,872,828,226,239,748,705,524,016,352,976,
410,594,996,219,955,526,709,878,483,451,924,626,163,276,816,600,717,541,906,
450,893,470,947,413,577,274,329,024,759,577,698,221,760,693,762,020,459,176,
184,604,186,887,078,307,150,201,113,190,069,615,203,575,580,621,560,271,771,
529,055,327,300,214,580,877,950,929,902,226,243,751,151,345,112,942,327,203,
909,601,423,053,951,254,398,528,855,321,270,119,828,270,116,060,353,803,301,
906,285,727,246,913,688,371,436,393,690,396,516,424,353,047,079,979,560,292,
266,297,779,788,167,761,182,339,004,662,024,837,792,285,431,757,838,559,816,
309,105,316,851,915,383,185,185,436,929,350,803,523,705,673,307,282,467,580,
358,015,601,501,374,565,349,881,423,995,218,127,104,102,315,975,673,552,722,
260,617,761,773,256,902,807,968,435,255,608,336,629,149,517,032,396,479,303,
931,884,183,376,952,817,096,565,651,200,118,007,644,139,554,754,393,974,333,
798,432,250,313,758,665,534,492,655,099,540,170,453,122,397,552,073,530,370,
111,042,598,631,521,811,683,299,598,287,732,808,072,595,050,410,401,141,939,
475,557,069,039,348,337,144,471,084,211,216,894,079,713,191,636,644,724,380,
581,127,094,744,954,689,750,718,807,516,969,027,731,709,231,797,441,735,175,
694,809,176,445,533,703,867,480,518,882,994,234,483,969,156,976,032,151,950,
536,325,714,724,320,743,392,795,211,608,271,844,311,075,409,915,073,193,040,
885,163,566,592,520,912,077,668,663,522,975,048,767,818,167,727,812,080,899,
405,284,133,457,984,356,296,894,181,714,325,355,122,895,934,840,952,392,289,
255,345,064,702,001,027,717,138,139,362,610,395,094,909,132,232,505,308,568,
433,444,688,358,895,085,910,558,263,803,155,940,064,581,200,096,279,763,923,
757,377,060,857,435,420,481,314,899,073,275,543,003,730,080,135,197,810,075,
848,715,653,051,641,402,818,965,493,579,862,022,372,250,205,055,638,980,003,
004,152,304,550,816,181,348,193,144,024,280,150,378,241,348,761,178,548,451,
306,497,587,555,848,607,533,710,659,786,311,810,338,277,317,415,638,546,590,
973,684,664,273,245,864,161,273,619,353,026,365,452,189,575,288,894,764,728,
806,522,847,073,393,960,497,091,641,103,382,447,422,108,209,647,519,717,222,
085,844,395,413,245,345,182,743,947,298,643,714,760,714,975,091,905,168,839,
987,812,240,968,375,885,645,404,059,614,841,031,193,351,353,584,742,749,974,
812,157,692,429,682,665,923,740,881,907,732,593,318,175,909,376,441,653,591,
219,148,371,250,889,072,746,202,348,796,079,045,372,119,655,570,518,446,352,
697,969,496,022,934,472,141,237,240,075,103,982,042,072,039,729,525,710,896,
808,657,959,590,427,361,847,369,608,468,813,439,406,152,168,039,132,347,903,
186,000,776,915,132,208,668,232,987,637,472,815,019,868,858,243,271,829,672,
686,610,085,143,817,765,963,765,651,363,521,246,126,924,360,076,369,766,760,
013,368,633,381,240,429,562,086,785,056,618,893,192,690,334,346,888,647,207,
234,267,556,482,104,277,435,402,941,936,399,864,496,576,054,696,229,283,299,
871,853,817,550,678,002,992,382,277,072,153,486,698,566,562,540,469,223,746,
718,402,818,858,807,506,634,978,008,288,143,550,567,404,751,511,537,597,507,
156,320,329,966,281,029,759,575,345,681,777,341,482,646,041,562,122,437,702,
226,477,012,776,386,771,882,140,109,942,920,204,854,604,655,731,485,772,975,
170,602,620,717,979,699,524,109,530,854,882,405,451,967,651,081,938,886,356,
856,252,411,826,107,288,951,992,817,320,628,923,835,498,280,485,419,856,442,
897,938,248,257,442,314,808,593,280,183,319,443,257,028,971,888,787,422,035,
655,065,085,526,303,886,643,279,905,953,472,742,594,887,750,448,806,208,025,
976,977,804,427,084,445,160,533,100,089,681,889,192,231,081,026,200,280,533,
098,617,972,461,294,191,834,926,551,642,325,786,875,135,706,599,444,794,754,
940,265,989,549,726,539,504,466,327,093,107,710,544,619,873,018,120,384,059,
699,490,725,123,621,886,102,997,963,270,578,294,222,651,671,817,254,675,677,
352,134,075,943,161,125,225,483,544,607,198,380,728,133,318,102,870,658,348,
345,270,748,515,825,648,511,415,611,587,170,500,220,910,778,454,529,943,109,
064,865,686,270,232,951,061,439,427,393,758,550,989,471,104,512,804,985,330,
471,765,224,603,639,412,468,528,315,360,686,126,023,256,694,471,461,797,484,
379,855,969,265,831,178,520,708,096,607,628,939,903,896,721,116,940,692,696,
740,536,490,170,730,148,666,044,557,924,934,909,823,912,673,824,376,728,625,
214,611,432,692,905,064,257,444,156,905,988,729,677,376,258,773,151,631,655,
098,037,551,315,435,571,600,997,100,075,580,556,535,051,928,369,563,672,815,
217,837,903,769,301,179,244,553,815,534,168,730,771,553,431,922,256,376,773,
636,019,557,483,446,466,881,920,016,623,226,926,121,655,579,649,122,447,709,
142,302,869,520,936,390,582,447,307,662,842,200,637,029,712,977,478,361,366,
452,698,964,864,145,657,279,006,839,321,879,735,445,477,488,302,465,725,047,
930,285,634,510,447,127,632,221,927,215,309,545,513,121,060,227,616,604,203,
524,476,599,350,901,741,756,874,876,653,007,267,053,941,499,375,200,235,315,
126,645,600,937,907,547,119,430,893,889,513,824,105,688,693,754,653,027,579,
591,125,262,212,978,570,410,700,886,107,913,553,117,766,543,527,550,710,789,
362,110,262,667,998,063,455,579,700,352,746,385,900,343,889,490,982,539,435,
588,703,429,986,612,775,000,468,587,641,363,268,649,050,196,331,618,625,559,
170,349,278,687,078,842,924,291,597,570,127,639,332,552,009,410,432,164,984,
896,164,032,461,341,113,081,016,673,002,072,318,003,468,626,363,863,194,174,
032,941,286,065,119,240,527,043,164,562,898,243,717,348,817,704,875,832,794,
982,270,886,518,046,786,724,530,789,330,216,761,190,018,862,555,419,102,436,
627,521,587,572,869,045,717,304,604,836,235,736,508,555,501,498,766,703,399,
104,988,173,481,607,584,413,183,651,622,815,763,772,635,776,395,548,058,476,
605,156,064,424,644,375,023,133,177,982,487,712,958,047,179,026,691,677,955,
909,690,711,224,556,020,354,222,494,148,871,902,965,187,714,134,501,849,051,
655,521,763,169,482,420,852,086,991,378,874,890,214,977,438,091,989,123,438,
525,545,945,451,168,564,185,851,111,219,718,102,101,898,384,918,959,509,368,
380,333,967,360,431,868,611,607,982,886,151,933,315,220,050,846,398,047,037,
012,304,123,637,562,474,337,171,967,401,720,856,899,550,955,495,684,109,836,
088,607,635,828,434,121,764,298,093,113,313,033,544,379,118,317,184,274,509,
649,347,460,638,545,632,208,635,796,903,498,176,751,860,298,060,179,166,636,
558,635,083,383,501,265,971,722,760,613,358,276,453,569,776,627,436,975,512,
130,018,457,879,920,053,900,601,214,500,003,428,713,545,629,809,803,417,907,
793,867,671,299,508,153,085,151,798,580,465,862,579,365,408,044,806,885,470,
936,656,997,301,724,043,876,628,468,945,601,009,997,009,355,734,068,895,833,
889,167,683,249,908,827,239,570,008,023,168,685,296,888,957,074,885,186,441,
070,431,106,152,022,617,614,113,556,148,753,291,858,339,726,596,930,874,414,
433,057,849,050,329,378,095,851,099,782,702,316,555,439,041,099,655,215,964,
513,699,313,416,262,106,372,470,315,359,438,703,809,748,278,922,982,018,498,
874,205,477,492,187,804,160,365,096,277,323,303,710,604,469,815,298,580,457,
028,964,938,852,856,278,596,974,679,880,423,927,928,748,311,926,389,703,325,
449,272,705,845,495,461,582,895,061,776,190,912,243,752,112,758,357,878,520,
157,378,799,908,645,231,053,159,792,131,389,971,968,277,603,078,791,200,762,
358,853,961,341,977,336,656,837,642,890,693,284,142,321,536,616,570,487,490,
337,235,552,706,913,283,549,844,758,454,033,833,939,520,614,844,386,945,030,
356,819,187,381,597,039,422,173,725,795,798,445,968,699,050,686,013,425,888,
219,088,116,479,821,390,482,787,529,416,894,087,882,625,633,676,346,309,487,
164,754,536,842,917,465,791,456,755,513,664,845,472,080,459,467,882,558,413,
066,139,266,768,950,705,076,570,136,601,443,879,085,553,907,003,954,771,277,
975,315,261,904,968,893,290,398,218,285,383,302,850,273,503,356,059,210,538,
063,572,455,511,673,087,674,456,040,609,564,913,661,078,719,082,928,737,868,
239,257,191,713,819,607,135,415,154,136,383,035,919,023,239,507,099,453,809,
417,327,340,633,143,432,204,854,140,523,402,607,407,176,868,768,526,413,441,
689,893,705,893,772,695,327,971,437,745,119,537,280,157,318,895,568,618,751,
440,285,507,670,408,159,024,735,542,820,844,349,882,246,584,733,907,626,079,
156,473,825,278,337,629,771,514,759,625,480,380,355,629,539,851,252,990,324,
162,363,010,798,310,873,462,279,761,035,956,869,021,378,988,107,485,551,359,
861,944,306,957,510,468,962,564,527,950,955,940,929,430,735,571,978,150,543,
972,880,501,194,789,903,535,059,992,530,845,899,762,522,517,699,397,285,160,
305,732,460,446,890,437,514,760,568,827,935,087,865,547,632,576,467,159,216,
342,129,177,989,263,001,553,791,097,373,908,693,663,936,768,483,878,851,484,
105,753,628,866,483,309,424,345,938,669,833,698,163,967,972,815,437,600,083,
842,233,956,363,645,886,714,105,619,353,707,214,356,495,330,016,614,949,421,
498,929,023,330,280,773,893,226,188,471,218,729,024,917,696,817,208,343,286,
915,417,273,532,194,488,712,490,332,293,901,224,829,739,078,835,044,965,230,
159,556,541,155,946,280,468,880,085,305,311,883,520,669,405,642,197,853,138,
056,614,803,757,965,844,979,998,330,619,784,758,648,119,675,388,170,628,270,
794,196,071,158,369,755,502,116,741,047,849,586,803,442,835,264,204,460,352,
333,960,304,061,130,591,113,202,033,112,802,300,682,570,554,962,868,586,887,
279,920,455,211,918,947,425,771,996,689,282,260,381,271,838,536,215,493,683,
645,558,202,237,173,871,840,819,849,329,432,932,310,247,083,671,563,424,235,
278,498,207,611,963,504,970,176,479,315,663,568,469,323,500,685,330,791,422,
883,848,690,224,791,094,930,873,017,347,772,648,206,999,873,583,073,905,282,
738,291,866,552,090,301,926,357,763,546,121,303,391,159,629,993,485,721,559,
896,088,326,136,730,447,267,766,559,779,600,408,580,020,669,049,309,421,491,
324,565,862,064,561,891,490,742,552,342,581,795,923,379,644,632,793,684,089,
473,054,567,784,966,287,534,715,606,473,713,657,628,346,099,318,609,868,184,
963,323,022,746,538,015,668,226,893,258,496,663,494,377,413,267,654,209,735,
339,430,819,676,238,448,705,474,873,632,638,836,370,974,787,983,697,705,504,
659,063,329,176,319,313,790,280,894,684,769,142,997,539,203,339,261,029,503,
612,676,566,922,432,782,696,017,062,043,650,696,247,631,232,384,892,459,231,
147,836,802,637,576,824,576,443,619,158,771,051,981,911,573,779,387,777,596,
402,291,267,093,486,936,542,436,866,711,612,056,787,938,747,717,889,751,722,
932,274,355,368,593,313,010,285,288,313,582,803,258,618,463,947,546,018,815,
212,862,328,360,911,584,666,893,708,652,847,986,060,080,224,080,463,199,808,
533,941,264,117,023,469,617,106,986,441,090,582,455,215,993,981,465,487,259,
501,459,863,401,147,566,769,875,651,052,156,553,402,637,537,837,563,011,326,
840,892,282,684,246,983,281,074,938,603,070,405,063,458,991,073,935,301,149,
036,869,710,333,006,030,976,596,552,175,379,017,067,750,133,637,479,544,216,
171,311,443,681,606,461,014,011,061,233,225,929,848,233,539,595,861,843,517,
871,875,500,092,895,406,686,156,197,539,954,634,110,849,897,893,591,582,232,
082,438,323,342,115,673,218,682,744,798,641,060,501,658,978,188,862,864,334,
968,262,764,132,690,281,505,302,783,246,317,641,210,141,307,520,665,557,878,
453,638,198,860,481,131,819,662,872,355,417,951,930,701,490,291,875,062,438,
133,087,837,014,139,608,251,257,827,070,782,295,329,128,992,105,366,502,151,
976,190,004,810,392,772,685,468,159,226,809,307,879,094,100,009,705,746,336,
900,993,963,106,623,147,497,149,507,639,022,443,081,197,170,343,360,373,902,
717,408,347,307,970,829,965,264,461,498,617,087,461,331,022,872,684,123,687,
158,561,262,813,470,124,375,336,149,914,510,525,287,725,641,055,520,169,636,
402,162,766,220,740,268,762,404,333,941,827,189,404,489,244,370,737,618,740,
356,833,508,358,155,167,020,242,661,733,061,006,455,526,970,010,383,185,866,
726,878,915,451,915,787,834,263,434,759,495,442,605,820,957,494,986,221,726,
244,885,237,114,450,742,978,094,794,443,085,193,678,276,433,932,436,460,831,
297,857,740,042,216,004,738,565,452,507,378,349,969,659,189,558,164,684,485,
158,973,373,592,194,739,242,279,560,371,797,696,557,197,580,458,219,225,874,
337,063,880,833,972,720,028,809,441,273,707,623,807,261,897,597,980,296,443,
926,559,313,641,269,426,281,473,662,893,197,287,343,833,215,912,059,740,276,
306,490,386,170,734,693,374,828,799,589,360,496,352,347,345,439,978,817,882,
211,461,639,985,937,606,975,908,588,283,642,179,920,460,319,659,798,526,477,
801,693,092,063,035,821,833,466,907,421,547,554,359,192,649,656,401,777,579,
077,796,341,673,121,733,456,534,587,963,838,852,677,256,403,949,386,907,826,
281,597,119,954,412,657,578,321,215,621,462,688,824,188,174,869,823,753,423,
677,857,853,655,453,476,515,456,576,329,674,343,377,996,179,335,317,705,617,
380,451,039,643,754,481,559,348,484,724,778,847,080,688,986,776,145,608,850,
203,113,223,163,561,355,927,294,256,765,426,311,033,901,647,666,190,785,304,
522,026,907,789,980,620,879,765,303,060,507,670,072,222,230,301,802,614,546,
430,963,960,535,896,736,662,073,095,658,653,081,767,724,889,612,303,659,740,
840,020,646,741,752,104,957,684,895,079,750,967,299,487,660,486,841,203,647,
653,660,358,639,594,570,603,136,640,600,378,878,369,492,684,650,580,225,607,
783,907,135,874,104,071,465,401,101,997,190,085,471,593,134,709,008,375,615,
476,339,776,130,578,905,299,695,574,909,614,051,194,774,513,292,631,714,224,
137,934,602,527,619,669,642,786,373,904,023,415,393,918,420,185,014,080,728,
392,805,966,158,320,665,892,286,210,125,045,099,222,662,461,913,104,844,793,
074,064,482,791,129,814,320,824,336,724,112,523,886,758,335,395,325,818,925,
443,642,578,121,036,685,740,212,482,945,459,595,938,388,881,947,300,685,042,
902,358,536,636,035,293,375,648,144,356,980,072,107,987,705,258,848,829,704,
082,778,541,372,722,504,136,559,444,124,028,289,036,680,812,895,668,395,303,
818,524,541,282,619,928,397,003,159,210,027,251,973,560,765,783,656,114,128,
048,379,792,613,617,196,964,388,858,413,385,524,295,249,230,600,467,066,501,
050,159,104,792,605,753,119,152,904,342,362,814,373,778,164,557,498,510,292,
727,660,892,108,164,075,313,008,045,502,617,505,382,713,402,026,638,533,512,
287,378,830,567,684,877,505,797,902,205,109,755,874,563,495,934,899,282,932,
780,000,106,477,663,881,452,690,278,748,506,354,254,484,279,985,478,802,851,
735,774,156,630,971,118,076,917,885,171,544,376,983,429,996,501,810,062,733,
330,822,828,784,077,011,118,429,595,803,139,407,732,082,950,591,337,755,968,
025,849,609,255,792,733,953,111,244,772,540,056,258,842,076,685,487,580,026,
335,382,154,875,001,244,684,785,104,130,322,063,988,689,969,384,376,277,618,
132,411,581,788,604,431,878,055,065,765,363,987,888,134,553,885,573,449,872,
000,162,868,914,929,347,474,608,616,187,015,248,098,715,178,666,514,158,290,
584,189,418,456,552,399,680,537,609,985,920,924,802,982,681,873,696,352,469,
425,994,035,869,769,637,774,059,979,764,469,127,443,663,210,194,864,095,262,
199,067,129,235,864,481,813,832,506,245,550,468,387,869,140,029,329,270,296,
382,725,961,248,107,956,086,623,213,988,452,708,244,407,078,405,630,464,075,
789,901,536,903,297,171,451,737,433,798,559,746,011,334,005,399,480,664,802,
959,042,887,354,731,933,824,485,666,739,988,816,396,438,806,550,492,694,591,
645,175,213,727,361,967,548,638,633,769,151,659,688,210,027,925,257,232,958,
124,436,371,946,197,662,509,904,316,178,287,623,628,419,971,752,068,637,281,
971,283,515,961,651,789,568,651,478,670,709,323,107,604,757,198,170,151,994,
660,597,697,037,432,336,338,490,494,106,999,114,805,900,302,436,451,414,912,
469,695,800,287,651,981,740,073,245,553,857,693,874,822,115,708,670,142,623,
464,696,981,687,341,147,052,778,241,369,102,687,526,763,803,125,652,557,862,
334,563,321,231,800,290,755,143,102,801,836,777,203,574,900,457,210,385,862,
598,512,654,259,135,133,346,613,343,185,928,990,356,081,065,652,814,511,606,
673,729,835,241,846,150,405,303,153,063,541,388,280,245,702,443,867,446,474,
262,858,121,701,069,096,277,613,982,425,094,608,586,485,536,047,751,172,610,
756,155,947,897,403,987,967,519,088,022,540,004,505,362,369,740,698,216,673,
945,958,698,870,293,754,046,306,443,557,151,660,090,828,253,427,771,456,949,
740,439,843,684,566,938,923,933,962,650,657,181,042,754,804,437,158,959,634,
979,452,100,477,364,912,659,525,291,167,570,583,958,628,040,550,937,495,303,
758,956,602,928,812,380,874,010,063,596,197,916,321,762,698,428,613,276,808,
847,128,998,228,673,808,152,191,994,449,677,169,643,363,765,735,160,948,129,
875,161,686,049,346,324,525,722,540,927,189,839,317,723,210,028,071,412,038,
850,756,982,427,347,040,834,750,702,938,754,621,956,799,912,563,679,883,279,
907,718,367,894,015,583,877,517,671,003,847,212,113,849,809,458,037,766,302,
754,113,151,021,627,453,008,231,302,238,550,228,611,739,851,238,381,975,495,
762,025,977,640,635,387,600,473,644,688,467,118,393,432,601,793,271,727,786,
198,186,282,707,256,463,131,627,829,339,254,510,130,784,804,293,846,682,102,
951,845,313,819,971,539,806,941,373,333,854,380,755,118,298,642,981,370,942,
275,290,413,343,146,206,851,104,174,304,841,886,089,632,514,154,155,901,284,
841,877,378,287,800,139,545,081,834,916,028,060,472,192,049,989,497,762,296,
638,096,585,862,364,214,412,912,322,630,618,908,735,571,944,605,044,209,978,
264,074,381,810,374,599,160,036,707,246,976,184,452,193,297,880,285,148,077,
991,375,955,878,149,791,685,559,601,629,978,817,612,467,058,127,627,768,461,
254,590,518,304,167,122,841,104,350,376,071,044,104,816,752,806,633,923,233,
433,215,792,962,568,087,307,810,377,764,386,212,335,204,232,703,861,759,690,
463,866,142,897,155,984,678,027,567,902,803,238,405,869,190,256,033,406,625,
652,997,993,469,238,404,013,527,834,395,592,856,825,470,810,023,531,653,890,
900,621,930,423,773,233,294,196,369,884,547,732,445,100,550,202,101,028,966,
742,541,277,684,650,986,356,692,823,629,892,008,913,783,760,860,225,577,903,
327,730,226,927,083,723,029,795,351,057,856,198,607,823,892,930,094,487,030,
712,133,021,598,532,968,494,603,119,522,141,102,052,132,079,241,915,694,597,
872,547,607,127,722,644,558,404,333,447,361,611,911,214,238,456,071,408,698,
511,022,101,881,524,754,660,685,888,715,479,047,239,157,004,046,377,796,983,
611,255,643,413,985,428,835,880,781,815,238,555,788,373,278,922,463,318,915,
953,678,110,696,995,765,944,962,458,735,060,527,205,742,968,604,718,800,959,
914,484,935,818,728,073,532,026,346,629,049,920,810,020,219,044,612,022,848,
175,341,920,567,128,198,464,928,021,070,685,907,269,177,923,282,053,033,638,
944,107,511,576,280,290,115,055,713,790,551,134,020,610,861,207,703,750,780,
729,126,153,135,762,495,767,577,866,662,601,969,141,549,459,921,527,620,770,
441,361,807,458,921,250,215,963,383,483,760,660,514,917,541,661,611,175,922,
093,598,384,708,441,602,232,003,206,452,188,652,858,885,120,565,576,871,885,
826,279,918,741,058,076,622,908,268,792,254,734,162,935,282,915,059,498,670,
025,675,833,482,697,310,744,232,757,574,755,826,272,633,303,693,950,506,240,
396,679,944,179,881,334,597,473,249,267,034,231,926,251,501,080,267,982,411,
625,415,884,000,930,542,924,513,938,208,575,653,929,302,216,444,456,961,574,
105,454,752,981,995,944,627,948,220,888,943,995,402,751,008,416,973,530,116,
652,756,307,042,020,906,249,985,764,847,893,616,365,977,828,162,122,321,828,
617,368,282,742,370,907,224,464,519,955,223,716,509,439,407,628,553,074,355,
794,667,999,200,852,432,672,874,612,387,664,661,155,855,512,730,322,254,399,
456,689,481,231,836,703,826,201,090,331,535,436,269,510,984,858,793,891,391,
810,715,805,471,145,357,957,480,797,766,239,712,224,903,972,618,588,740,514,
742,764,535,670,267,262,465,217,764,665,731,961,912,251,406,611,991,913,998,
224,744,992,706,571,036,834,045,622,601,641,779,638,961,378,524,571,428,623,
757,892,929,544,532,666,281,409,173,819,297,757,904,572,080,622,117,379,613,
283,864,217,089,347,798,742,360,311,971,866,404,194,209,587,568,185,889,478,
043,247,576,486,888,330,662,421,829,550,607,137,766,194,222,478,226,872,959,
797,329,093,582,134,561,595,852,811,971,668,485,885,642,629,859,745,207,188,
863,306,542,365,675,597,342,200,263,335,558,686,984,708,949,813,731,510,986,
278,735,661,770,363,448,154,035,296,857,878,477,771,069,732,058,989,709,213,
099,970,079,952,400,121,109,520,787,462,076,721,233,520,308,337,112,201,213,
950,194,457,318,322,482,940,805,302,155,758,244,510,333,408,369,909,712,225,
829,753,705,728,461,576,554,663,536,059,161,745,933,511,207,393,248,432,677,
148,862,654,066,373,993,952,660,673,839,416,190,834,795,586,349,023,797,320,
072,894,765,210,959,337,535,013,367,357,024,345,132,418,318,627,320,173,028,
572,569,472,825,013,871,935,245,774,712,342,016,457,320,634,531,981,968,120,
597,069,631,800,231,932,419,444,993,922,075,559,275,941,439,335,906,746,917,
910,374,850,304,635,306,306,201,809,857,357,903,038,968,118,709,526,502,934,
389,974,826,578,194,710,156,411,934,531,294,322,595,591,419,690,242,812,927,
429,180,047,634,653,907,340,893,667,258,931,615,334,501,246,718,822,571,643,
140,284,570,404,967,639,548,758,114,938,540,022,312,225,469,532,944,774,746,
927,800,205,283,867,227,603,286,328,745,101,018,661,389,940,367,396,437,744,
033,493,088,468,482,639,027,549,437,229,518,946,564,843,075,166,014,632,795,
981,875,009,050,691,790,434,500,006,993,953,415,844,950,191,046,824,147,919,
062,603,471,478,862,643,679,873,764,157,111,487,326,974,844,121,664,255,318,
606,408,792,736,231,854,484,615,633,508,481,750,836,886,310,877,211,118,980,
066,319,308,380,758,133,172,368,626,932,623,919,710,890,760,008,746,541,615,
379,538,179,990,440,609,213,655,891,841,257,032,165,268,475,989,217,024,660,
838,853,015,605,444,073,131,828,506,043,184,325,339,287,448,271,058,892,304,
374,443,936,078,160,612,362,719,307,425,229,896,783,405,916,328,554,964,936,
794,185,456,950,834,374,494,743,086,508,558,977,866,671,593,220,986,495,392,
487,891,761,646,721,609,395,739,819,317,604,524,627,210,314,684,682,009,879,
045,190,006,109,951,762,823,441,041,057,611,101,655,796,172,325,012,387,871,
238,732,362,500,651,873,645,542,823,728,004,862,434,999,854,111,980,636,637,
328,022,365,618,476,032,651,011,937,438,303,257,416,286,867,152,611,694,948,
741,941,677,195,370,371,239,337,300,484,693,934,709,427,309,421,833,140,029,
168,252,443,929,504,596,458,129,134,215,054,623,746,902,351,581,476,303,809,
963,067,337,267,533,492,939,592,076,409,884,776,111,076,758,317,756,272,799,
920,183,868,525,021,595,715,921,823,106,939,484,402,661,322,994,079,771,717,
363,560,642,892,838,348,705,638,723,644,721,406,113,006,596,190,961,508,228,
650,004,305,183,577,308,809,494,936,367,430,358,183,759,210,125,554,228,526,
508,185,479,533,179,936,220,291,104,679,372,389,697,235,474,967,582,441,734,
937,553,466,386,896,141,308,969,828,111,039,710,028,587,150,660,296,646,415,
481,752,060,330,484,945,885,927,375,616,995,878,742,291,594,104,764,461,264,
801,595,847,890,503,397,325,878,286,553,911,128,761,212,553,570,194,781,370,
971,564,497,529,623,374,041,469,770,438,535,790,660,041,100,018,499,104,889,
247,569,710,855,380,505,878,079,856,989,870,480,017,410,302,629,231,614,236,
426,969,364,614,003,559,531,368,200,551,839,990,543,435,770,247,994,018,701,
671,801,660,452,072,170,746,527,572,268,044,120,243,262,669,944,023,534,418,
460,669,107,882,465,133,743,755,345,666,683,891,576,136,965,551,690,689,245,
625,830,042,069,271,440,724,297,977,666,677,455,467,138,707,510,173,002,681,
920,114,266,200,390,159,552,912,616,826,571,266,796,104,921,060,373,804,393,
107,293,942,482,613,935,242,931,239,111,869,998,202,525,166,849,135,596,962,
315,528,332,209,559,965,275,534,757,705,234,472,526,243,497,860,379,919,986,
139,228,428,006,665,333,486,788,868,775,918,750,076,460,961,643,581,060,544,
151,076,392,181,168,323,892,672,069,667,149,951,104,947,569,064,110,582,170,
885,378,214,233,355,179,124,465,291,037,592,810,106,551,867,011,803,977,895,
266,092,197,732,421,072,899,745,595,670,707,014,695,403,020,257,432,865,556,
522,460,172,351,347,532,200,316,362,831,592,941,437,862,418,590,955,875,916,
285,103,458,195,933,289,380,233,534,407,015,595,532,406,671,633,529,573,025,
179,568,443,758,120,345,781,795,939,537,085,583,096,150,800,065,111,565,511,
982,312,516,190,619,614,605,157,256,018,522,114,030,082,451,697,457,985,572,
053,094,786,156,948,333,090,487,117,581,891,012,511,679,641,841,769,112,693,
839,419,349,948,536,692,937,635,293,912,712,565,569,965,435,809,536,052,472,
891,495,222,074,365,899,180,258,387,980,566,081,579,937,861,852,917,000,977,
466,783,170,612,751,659,876,385,610,636,754,032,498,418,462,168,624,212,730,
930,018,027,312,627,938,786,899,657,821,373,528,983,491,728,870,109,154,766,
997,255,845,584,340,770,597,514,725,059,630,094,051,295,515,032,464,328,130,
136,865,978,773,392,291,160,358,059,228,409,418,916,287,254,970,253,866,192,
197,595,865,590,782,665,552,258,456,132,330,206,165,799,408,571,588,997,834,
047,494,719,556,831,467,936,962,173,268,275,123,993,868,409,491,587,913,398,
445,341,716,143,837,658,036,515,129,122,102,683,472,553,495,197,549,499,203,
212,212,893,200,687,681,586,527,434,413,180,221,630,224,394,915,287,643,649,
647,438,860,963,970,925,961,686,941,636,345,167,154,050,343,160,653,270,684,
782,243,152,994,946,215,085,634,898,386,199,690,048,696,120,274,718,062,711,
116,923,582,412,284,069,801,653,746,092,569,076,819,620,867,895,836,985,938,
819,084,789,830,024,462,282,647,791,744,206,470,565,858,705,911,454,071,917,
694,455,337,605,610,898,669,558,568,753,988,690,350,619,831,072,676,067,668,
355,353,513,191,982,632,434,720,699,376,315,487,441,059,918,353,380,849,638,
614,710,140,631,328,872,903,349,736,098,397,846,931,613,703,010,230,353,013,
344,127,317,444,273,169,525,281,606,296,125,222,966,690,847,966,172,501,892,
226,544,906,962,299,153,136,177,143,224,272,992,687,575,656,780,376,002,382,
825,350,164,926,602,253,240,113,731,475,983,765,875,075,460,707,530,604,978,
351,407,287,949,259,293,133,684,696,102,009,332,654,361,593,743,237,519,416,
512,757,604,620,973,984,262,453,984,866,886,599,195,946,950,963,957,941,030,
129,846,160,206,228,739,651,901,220,644,390,846,754,278,898,601,142,535,303,
039,348,538,841,801,578,491,791,137,754,306,728,583,525,462,579,446,416,354,
338,912,784,819,130,111,608,286,074,577,020,801,565,713,748,104,328,406,183,
507,442,555,599,833,594,747,694,725,601,626,322,371,515,443,482,365,519,762,
316,895,043,135,524,750,011,288,857,029,766,908,668,920,951,433,011,493,721,
810,306,992,142,979,214,574,507,018,178,146,849,131,458,585,077,880,557,481,
249,190,147,024,087,855,127,842,364,629,762,946,493,820,525,932,401,923,402,
961,297,277,423,456,185,967,554,302,801,857,037,661,892,441,851,310,059,000,
938,994,398,668,777,356,180,489,479,847,951,263,934,651,839,336,391,608,616,
590,533,240,178,047,556,722,948,047,134,117,321,927,909,747,001,987,567,216,
179,394,394,793,859,166,347,658,794,057,200,275,128,506,860,250,628,274,419,
090,089,266,365,883,950,894,641,872,598,502,832,821,605,451,083,507,222,382,
190,058,061,224,463,110,513,793,249,172,535,403,398,878,414,290,657,387,455,
370,587,985,847,036,222,401,413,018,921,857,139,595,246,424,808,756,425,257,
363,339,003,553,576,093,304,830,702,641,778,748,417,067,810,247,923,056,275,
306,981,590,716,580,979,076,975,184,659,325,031,374,199,021,860,898,365,908,
173,562,645,890,640,440,502,969,727,727,860,908,085,573,626,680,792,350,554,
087,833,813,059,858,230,255,347,775,394,482,054,148,863,930,451,082,436,461,
758,596,547,728,771,051,289,267,776,610,167,170,786,853,147,699,350,446,992,
768,917,250,966,482,459,557,601,924,208,444,274,200,082,342,054,827,578,473,
659,359,367,102,703,961,581,874,012,974,722,703,907,675,950,280,868,143,637,
787,621,012,206,790,450,961,849,249,006,799,750,158,183,747,890,388,703,767,
864,494,770,212,612,606,539,609,874,790,601,104,939,081,502,882,834,594,061,
725,093,132,861,208,414,683,099,678,448,859,213,435,904,043,879,291,468,529,
334,488,056,644,032,517,717,918,640,906,589,612,734,349,364,807,336,178,339,
654,193,788,280,120,833,125,457,752,686,645,259,509,265,005,060,113,337,277,
727,074,996,186,726,865,588,510,708,913,175,259,482,993,492,330,064,464,330,
452,421,726,712,927,967,513,132,818,594,984,943,587,955,462,046,429,706,242,
349,798,710,903,239,491,503,025,045,412,460,530,152,990,507,541,910,897,780,
750,730,242,296,047,186,667,016,435,676,846,531,708,071,463,641,217,484,576,
577,502,042,740,988,588,665,934,023,289,133,345,715,519,732,319,042,038,965,
198,310,434,612,736,286,114,449,084,655,066,951,933,650,230,144,874,304,292,
316,923,421,435,309,550,999,180,823,656,214,450,647,305,928,139,571,355,194,
492,123,901,031,421,821,860,093,291,703,437,361,779,258,502,781,260,771,060,
147,422,482,242,027,520,828,173,585,438,794,580,778,598,388,488,020,905,900,
770,073,820,695,942,153,213,528,461,255,936,920,759,743,555,794,583,509,593,
016,820,745,392,689,422,194,454,653,873,090,645,990,546,856,627,619,712,952,
229,283,861,446,489,913,124,135,556,688,835,847,455,535,638,820,670,241,736,
171,766,510,676,506,324,452,846,991,813,867,822,859,123,128,858,966,653,023,
915,983,919,448,716,432,974,012,142,254,392,151,396,311,013,284,105,610,877,
023,857,532,331,034,719,364,616,554,072,129,674,955,116,184,479,888,006,788,
797,623,806,713,253,084,560,069,012,828,192,810,507,114,603,095,062,840,444,
843,784,927,664,712,826,872,264,920,267,858,159,373,683,936,531,786,808,571,
922,269,314,382,179,973,001,190,306,212,253,655,664,382,105,906,600,405,181,
275,290,365,191,147,285,778,585,093,934,729,642,108,476,581,236,067,518,311,
036,452,564,970,401,776,427,925,561,977,881,081,154,736,834,637,286,212,274,
724,100,786,499,057,430,576,707,421,315,261,906,519,846,695,028,656,454,620,
638,595,258,917,461,123,128,518,556,681,762,834,102,523,332,394,352,185,802,
255,195,439,662,995,526,251,557,979,259,977,781,003,303,123,186,523,922,021,
027,701,425,179,003,647,528,365,687,805,758,162,189,029,176,623,832,385,756,
521,387,815,299,008,335,974,939,362,243,018,293,034,398,735,498,195,324,240,
100,293,967,716,996,684,122,004,205,259,503,299,175,135,002,497,995,284,526,
598,864,552,077,526,536,465,803,448,871,968,732,985,829,248,151,774,227,514,
597,531,209,298,876,314,358,644,587,919,315,899,634,450,527,252,338,393,773,
930,499,701,235,984,543,024,876,164,582,817,644,884,827,624,300,718,540,050,
317,057,995,999,631,196,916,542,112,782,007,501,424,284,507,946,780,424,976,
181,799,243,824,002,161,672,021,537,373,448,782,906,092,221,837,611,585,833,
567,662,705,422,363,214,974,854,970,907,279,552,237,392,754,238,723,611,444,
969,019,286,360,230,903,914,975,453,288,931,851,661,540,360,845,637,993,646,
819,364,960,733,796,671,267,859,759,570,191,403,248,269,465,600,962,785,494,
066,248,291,564,443,184,046,383,823,308,527,842,098,250,849,738,011,239,192,
561,172,671,236,106,706,033,099,595,797,112,208,228,464,469,848,052,027,013,
631,169,836,585,290,695,888,574,122,589,625,308,139,569,558,317,664,088,226,
128,908,446,458,341,663,572,014,957,845,929,063,190,905,291,382,605,364,330,
866,091,153,874,124,938,627,308,976,996,029,487,641,904,424,025,363,856,569,
618,383,390,838,459,792,172,271,433,658,797,739,537,784,446,021,055,741,745,
466,356,527,937,350,605,013,731,310,105,493,003,564,047,719,302,405,467,669,
225,763,997,412,580,582,394,398,801,288,056,995,966,037,151,904,619,340,350,
629,870,707,486,473,103,647,087,178,535,913,591,311,204,554,780,348,965,438,
586,222,220,480,337,685,264,301,798,042,637,607,964,621,931,152,909,405,525,
516,520,510,427,745,229,302,705,328,037,369,296,481,055,326,234,466,891,886,
313,047,942,972,209,105,085,714,629,971,337,569,431,461,724,731,905,737,051,
421,800,466,545,051,916,493,765,657,419,870,063,132,274,736,727,225,089,374,
462,007,860,326,088,315,904,738,257,081,651,081,223,939,584,711,506,479,532,
931,615,621,893,022,596,214,717,512,066,274,270,792,860,900,641,734,772,728,
248,714,813,161,976,995,084,742,498,170,779,774,688,074,970,133,895,321,452,
569,657,607,071,603,016,546,465,558,822,291,629,259,437,235,585,224,366,254,
236,929,792,893,052,508,842,396,531,226,425,252,432,805,909,627,153,966,912,
116,458,141,925,569,162,752,546,570,060,548,699,585,426,898,487,829,834,077,
456,211,877,049,621,564,539,473,753,055,651,136,379,696,536,131,910,626,609,
164,368,221,599,943,037,214,668,453,450,167,214,042,516,574,949,504,930,067,
308,790,237,718,034,665,153,408,561,441,961,888,586,604,238,117,952,616,714,
861,646,021,653,649,949,590,451,371,824,767,535,990,760,788,860,248,189,712,
536,668,310,732,616,168,489,412,197,160,448,188,980,739,814,854,851,047,855,
383,360,362,859,522,128,001,137,564,406,033,137,322,270,854,897,823,414,505,
332,509,978,567,563,620,765,690,079,223,468,673,541,098,650,132,583,664,169,
261,022,329,499,159,488,257,991,595,024,251,016,892,820,300,036,128,415,600,
929,770,331,905,006,246,498,738,123,630,237,402,265,641,706,143,641,495,533,
778,846,015,424,231,918,612,625,741,026,415,860,988,587,737,552,744,524,457,
586,372,389,670,738,603,375,869,732,105,761,648,936,660,078,407,908,078,442,
847,039,182,614,756,780,414,450,987,219,051,604,723,509,920,010,397,643,700,
900,538,485,582,541,925,076,842,746,780,898,916,919,612,267,890,848,821,783,
474,687,075,169,873,916,459,291,170,392,680,734,983,021,146,351,161,464,910,
216,035,250,770,490,889,734,752,991,867,087,753,368,004,563,500,473,699,761,
804,628,165,503,427,177,848,114,892,960,465,823,759,278,618,444,505,457,339,
024,807,791,075,471,988,529,632,093,673,990,734,317,480,374,887,584,604,152,
290,258,076,553,608,826,647,594,760,376,497,327,614,976,310,608,253,450,980,
381,331,327,914,889,186,293,700,308,619,545,977,006,211,521,501,469,161,587,
604,301,722,235,283,790,407,993,496,571,624,701,465,287,676,834,240,257,441,
302,552,078,335,988,472,468,301,106,955,467,665,054,557,308,390,015,783,862,
740,366,783,569,075,821,894,844,428,139,825,425,082,748,546,983,325,144,664,
422,903,488,126,856,614,563,114,718,230,313,951,894,741,147,442,317,600,901,
189,506,799,088,149,012,692,702,619,180,707,056,474,915,082,066,113,623,011,
530,845,719,580,959,868,367,519,782,982,061,963,896,040,798,564,778,155,858,
271,540,677,081,279,082,781,953,682,389,151,152,601,490,588,763,568,107,151,
686,766,843,038,644,853,419,360,997,264,816,659,467,498,116,155,538,060,749,
205,991,702,520,497,307,752,411,248,907,276,010,498,992,306,286,913,280,688,
771,475,319,522,595,635,832,725,120,387,473,019,009,571,679,998,501,909,851,
432,556,762,784,414,983,321,061,592,616,084,467,561,838,614,735,640,697,303,
248,006,443,039,971,244,200,079,413,853,239,543,799,605,949,388,553,317,712,
655,093,662,565,721,908,753,895,157,471,550,756,798,246,313,388,650,354,363,
173,546,901,780,562,890,823,560,337,600,539,716,732,580,959,910,313,234,957,
199,686,255,837,751,196,266,452,528,092,633,014,054,798,137,219,083,605,028,
767,173,235,577,115,135,969,971,215,743,837,162,075,317,854,011,274,290,918,
264,941,107,841,478,434,083,884,843,042,794,735,840,866,127,698,598,256,546,
298,083,053,700,170,918,654,148,312,136,055,952,344,718,283,560,458,333,714,
440,314,818,096,293,482,294,269,517,877,993,170,569,137,744,892,866,566,915,
551,560,439,399,808,570,688,236,691,452,666,837,044,773,643,316,166,215,975,
622,170,413,299,590,107,157,400,465,810,635,553,365,565,956,945,940,472,301,
316,398,957,708,035,955,604,913,582,877,756,212,670,073,041,061,781,549,791,
024,011,571,795,903,061,009,991,334,652,797,451,048,679,043,954,820,204,703,
468,220,634,104,347,271,552,663,066,948,359,586,072,058,133,305,894,907,245,
531,602,980,051,004,302,117,097,716,314,176,320,979,103,734,944,297,777,746,
480,133,877,624,609,277,171,334,522,361,818,013,567,983,424,351,911,759,514,
690,297,463,573,649,064,616,644,047,604,072,681,607,564,429,045,613,745,488,
417,557,846,324,990,668,202,457,584,885,298,209,956,665,625,909,518,490,518,
352,556,341,969,455,160,438,861,439,293,189,468,457,204,152,023,258,684,384,
598,117,953,050,002,327,289,365,238,795,176,630,155,023,220,890,363,686,975,
031,926,230,168,004,437,745,369,413,194,787,075,089,026,966,285,318,303,594,
183,691,462,539,294,374,479,137,125,448,340,369,380,490,583,321,848,850,060,
134,911,329,329,350,149,579,762,616,313,024,503,125,272,241,813,656,393,901,
444,930,417,234,487,031,550,693,705,040,873,943,504,735,128,010,007,986,470,
777,810,021,705,483,841,089,078,609,364,235,111,949,694,748,928,306,585,304,
261,837,258,805,805,877,598,389,257,476,457,851,723,181,679,445,507,170,973,
074,403,909,391,073,879,252,999,480,984,505,233,273,443,097,049,235,545,607,
732,590,510,353,098,664,930,834,114,155,544,281,487,358,110,771,062,919,459,
048,650,247,416,231,083,789,780,632,235,468,122,426,859,792,429,714,267,064,
524,959,653,580,037,012,001,140,595,988,873,649,671,490,468,082,280,410,016,
113,723,511,349,851,578,851,384,604,722,540,020,697,383,239,361,970,062,627,
563,732,189,209,081,047,721,558,047,327,994,796,919,909,183,934,429,861,740,
377,219,532,601,347,283,531,035,467,968,729,581,965,606,511,117,986,887,111,
969,406,272,773,652,400,980,079,167,673,812,296,655,494,701,028,514,047,178,
003,066,867,695,217,181,463,972,094,176,087,692,541,238,357,058,340,540,387,
385,453,402,033,364,967,071,189,204,213,109,056,160,602,211,325,830,091,357,
466,711,262,429,813,702,273,430,321,222,168,791,108,839,086,257,648,575,640,
356,904,738,876,379,356,817,521,359,346,242,326,542,379,609,568,050,635,002,
109,210,727,744,629,468,132,562,389,839,471,975,561,178,940,852,315,648,243,
703,445,116,301,247,230,193,829,313,491,107,876,925,845,534,291,346,485,247,
087,769,809,185,581,792,753,996,800,446,644,983,722,978,930,072,356,362,774,
018,937,930,668,219,474,560,637,532,157,720,480,082,456,018,779,368,225,521,
765,453,546,448,242,539,351,377,029,911,894,340,831,359,635,957,929,266,206,
844,400,268,727,513,355,022,734,525,772,123,633,101,919,188,317,668,187,328,
826,746,407,015,082,894,038,439,865,766,291,099,777,891,577,151,145,853,407,
367,719,510,787,962,038,688,560,251,529,665,946,371,265,590,647,891,598,334,
771,827,673,042,603,232,628,590,852,343,792,099,768,662,802,732,130,609,813,
195,381,012,966,957,656,115,620,722,059,019,395,128,525,577,663,881,860,209,
482,520,379,129,072,140,166,187,692,862,181,630,173,128,843,777,836,673,145,
524,803,484,052,893,559,757,059,412,865,426,168,435,420,976,763,119,148,233,
834,167,989,218,341,937,431,475,147,075,395,993,781,133,988,846,787,067,348,
773,640,544,901,689,984,698,882,164,032,917,021,849,492,737,789,593,838,571,
007,098,798,178,996,659,763,916,466,284,560,361,357,989,502,552,488,544,146,
662,116,948,683,248,194,946,075,113,970,237,093,815,977,563,268,341,572,454,
270,107,934,026,926,615,534,736,991,201,959,326,990,088,162,325,798,643,009,
321,438,418,546,226,510,083,357,620,458,020,788,720,268,045,717,897,732,126,
361,558,867,562,385,523,219,360,468,343,589,945,303,118,158,223,957,069,155,
629,487,454,808,109,004,989,554,339,454,000,360,997,419,126,876,152,110,602,
530,907,006,507,837,759,117,737,310,657,216,602,409,002,309,171,870,423,173,
966,453,038,382,027,006,964,579,851,517,024,049,926,645,557,061,215,675,029,
184,314,254,673,875,434,948,040,951,265,136,154,470,044,410,295,317,589,222,
672,498,447,485,203,844,461,271,464,237,585,214,868,438,731,905,446,277,899,
795,316,541,009,445,274,093,155,940,819,010,042,265,113,912,580,607,733,511,
143,367,842,480,132,735,161,325,610,462,600,508,473,845,581,811,543,226,700,
673,482,536,574,256,194,207,631,214,413,978,568,601,367,688,427,234,266,855,
258,728,282,689,167,617,459,732,741,344,080,525,857,447,163,937,907,514,027,
392,946,602,025,602,003,399,164,737,382,428,050,577,047,858,907,239,612,295,
784,720,920,635,513,397,563,476,176,066,850,655,361,841,226,008,007,779,705,
607,798,065,645,585,374,086,737,779,061,017,823,993,600,896,385,275,295,043,
821,619,158,506,365,608,794,500,489,134,423,268,220,300,544,009,123,076,010,
124,975,516,983,076,727,776,226,866,955,573,094,083,217,691,900,326,238,388,
337,163,569,167,155,184,910,046,311,088,741,823,729,119,782,408,022,342,540,
785,979,841,253,885,883,757,894,232,978,423,287,515,621,497,471,428,799,245,
528,429,035,871,946,668,411,398,412,276,222,187,818,129,616,850,199,354,906,
260,167,109,540,604,758,037,058,169,832,139,496,562,655,066,972,274,690,829,
254,828,107,946,996,485,398,246,638,907,945,040,106,180,309,673,821,451,679,
077,306,935,175,415,412,658,423,434,872,446,829,089,262,417,289,233,859,025,
073,527,649,429,074,537,273,310,455,632,153,648,931,975,973,433,666,343,385,
933,699,318,586,900,204,603,543,099,910,979,596,423,422,423,172,078,038,572,
377,002,595,193,306,970,148,250,202,477,403,179,433,553,060,054,795,122,499,
941,964,326,892,750,711,428,412,087,159,371,638,663,364,111,484,187,866,494,
127,796,571,220,858,470,631,638,930,939,062,814,769,044,812,045,617,035,837,
264,721,993,862,964,918,996,805,792,708,271,566,515,704,517,965,760,517,289,
476,779,260,737,764,548,565,840,981,090,678,738,351,108,205,518,660,937,909,
422,634,626,522,390,982,204,155,551,400,678,114,105,912,870,745,843,723,274,
760,793,099,238,903,013,815,776,401,547,404,253,651,983,739,744,287,211,047,
385,206,301,320,899,468,863,745,707,000,101,530,904,937,527,602,372,866,086,
356,898,092,503,875,291,682,291,643,754,936,945,162,742,849,593,227,828,407,
074,826,700,464,974,554,274,620,501,546,122,235,747,890,354,326,637,309,348,
959,719,367,245,423,377,063,873,648,677,941,686,506,467,560,563,126,733,496,
611,733,412,124,681,013,538,960,659,219,356,411,043,323,669,253,703,382,583,
784,898,349,253,520,637,984,506,123,491,458,758,217,015,231,978,622,924,811,
021,613,894,981,408,305,692,777,307,260,832,401,589,511,025,157,941,879,571,
280,917,674,324,899,570,386,183,783,721,636,061,908,467,726,720,624,209,206,
081,383,877,517,271,755,321,019,366,697,313,133,272,048,590,281,715,003,561,
663,376,464,820,571,222,614,328,868,289,606,413,128,791,073,458,783,526,943,
916,592,470,097,549,802,002,844,052,662,151,288,668,277,461,410,203,116,995,
130,715,040,428,587,508,618,790,396,762,169,526,639,916,597,530,236,926,062,
067,430,978,515,147,464,281,424,138,048,371,059,198,914,347,374,870,334,155,
471,340,608,472,206,912,381,116,876,641,559,709,288,791,761,342,291,401,698,
219,795,192,105,107,334,044,064,574,246,424,727,655,414,307,150,721,622,713,
488,828,193,019,367,973,223,485,244,375,734,797,772,095,008,554,167,773,491,
756,849,993,221,670,946,009,138,562,403,705,803,112,783,748,840,770,580,573,
584,768,235,867,793,107,757,607,946,533,287,257,823,893,230,370,867,403,432,
198,984,570,490,953,045,750,394,226,373,209,822,760,124,717,257,320,918,718,
323,544,956,445,757,882,756,172,644,249,747,698,247,217,249,593,738,898,531,
576,041,791,078,003,129,905,701,607,808,766,216,823,525,341,390,142,129,095,
756,419,873,894,045,526,657,135,905,827,955,699,741,905,136,766,081,153,210,
729,787,270,775,921,527,787,888,494,817,315,404,079,300,187,288,739,314,665,
525,980,771,735,492,076,700,208,781,286,735,694,656,967,040,256,011,737,782,
530,472,478,231,535,473,007,704,514,308,718,181,316,742,782,961,569,181,235,
398,017,620,060,228,139,108,916,013,665,802,988,314,427,218,465,630,391,502,
643,011,571,803,954,674,250,465,944,969,097,944,322,280,712,518,026,958,968,
000,451,679,508,281,369,884,689,167,678,496,072,956,071,112,604,082,809,909,
747,998,141,549,569,451,472,566,190,073,760,237,310,352,374,513,091,437,607,
446,750,120,758,743,538,465,966,322,577,949,528,098,075,012,000,089,716,743,
403,627,836,619,730,919,056,875,501,679,792,381,870,900,036,287,489,136,971,
945,191,133,659,653,932,871,784,995,216,438,259,998,073,095,593,111,090,474,
152,685,202,699,979,163,674,627,583,981,587,961,426,879,923,404,866,380,408,
429,524,832,492,485,301,487,947,704,644,609,653,458,762,648,682,177,124,899,
139,526,355,696,130,818,604,376,604,454,755,294,443,253,082,059,613,106,337,
630,302,431,242,073,487,508,684,534,902,262,270,567,197,036,812,983,447,563,
034,479,177,704,140,481,992,421,257,539,899,358,802,808,613,382,250,119,871,
690,892,514,302,688,059,775,933,634,125,941,643,200,206,785,551,042,600,177,
962,188,905,725,976,050,625,085,649,319,188,599,492,530,683,587,418,878,810,
756,484,749,351,917,594,223,601,839,550,399,474,997,050,559,125,839,716,451,
731,302,062,096,875,490,661,831,982,679,726,313,090,967,298,863,374,013,742,
796,662,084,980,507,512,620,512,737,401,866,720,328,515,541,195,828,763,083,
134,230,473,653,127,173,376,935,041,549,973,045,327,881,307,049,837,753,415,
917,770,990,924,634,066,043,070,238,235,558,359,278,246,349,483,995,423,215,
955,359,086,042,241,939,819,173,542,563,459,576,554,828,122,225,662,079,688,
816,939,103,516,575,672,708,707,148,317,682,428,835,174,783,546,639,370,604,
297,754,373,850,794,564,854,441,565,032,661,352,033,892,339,893,708,434,497,
928,420,888,195,682,051,616,919,218,244,497,740,627,708,669,808,388,541,679,
460,466,435,852,168,662,247,256,247,824,182,010,121,599,075,462,382,510,491,
921,723,775,856,883,155,787,453,450,217,648,011,631,941,424,356,126,696,696,
079,380,891,041,386,398,046,895,567,938,204,240,753,689,857,372,678,455,599,
226,210,079,596,560,288,218,499,519,006,113,872,435,262,237,179,954,301,468,
147,377,409,874,007,141,246,108,663,280,799,675,366,052,899,481,527,630,787,
724,350,056,820,763,780,606,371,177,884,295,961,675,718,294,380,780,252,861,
112,986,740,949,315,669,184,562,236,127,610,062,042,796,842,568,403,281,761,
558,796,624,870,065,116,234,806,867,181,537,825,218,997,203,808,969,760,096,
397,123,444,466,139,069,680,761,243,594,430,930,481,268,107,940,264,311,845,
880,250,504,904,699,384,986,761,798,043,040,616,425,944,099,548,575,348,153,
153,126,403,274,395,796,661,614,674,344,591,042,444,381,216,602,652,117,222,
234,109,718,611,976,017,900,408,559,294,184,457,229,876,794,262,049,118,371,
571,424,461,865,850,208,886,233,994,206,412,301,504,473,837,113,913,162,738,
491,060,272,495,503,446,126,921,605,503,642,335,670,032,182,156,212,053,348,
670,126,999,643,448,991,207,601,831,722,042,673,805,853,673,638,675,078,831,
728,950,515,847,759,673,795,324,815,869,240,456,300,991,468,950,401,452,404,
368,623,537,693,916,643,849,153,262,235,258,058,272,077,277,772,958,665,101,
354,333,297,689,961,841,308,512,272,801,713,780,664,355,310,099,542,897,026,
684,845,667,087,841,088,242,340,062,388,581,557,079,740,377,082,782,384,356,
418,576,583,736,253,039,216,601,703,787,112,688,391,730,011,512,022,135,721,
937,156,116,387,411,004,183,197,818,297,747,981,763,321,381,766,904,434,255,
730,807,738,628,540,924,945,744,112,516,757,294,403,772,713,462,334,615,155,
375,848,386,250,065,294,735,905,022,038,836,276,446,068,606,334,790,037,786,
862,900,507,208,945,872,702,871,185,172,065,895,888,805,499,658,219,035,619,
103,763,505,328,475,359,803,270,727,950,882,876,791,949,471,009,465,743,987,
382,168,492,150,693,725,122,435,939,272,848,043,403,126,051,555,396,807,774,
076,626,502,628,526,813,847,343,461,281,434,524,428,143,787,629,375,703,248,
583,494,768,998,463,896,492,722,063,513,792,336,808,181,750,707,402,886,045,
108,190,992,807,179,673,523,876,448,814,909,691,410,694,665,327,957,792,165,
068,152,399,352,618,395,500,860,562,189,526,482,117,712,306,794,723,130,192,
850,746,709,697,651,280,856,369,027,843,132,812,534,684,279,272,051,534,465,
444,102,004,013,300,279,267,010,969,720,669,406,619,738,707,401,517,187,468,
707,055,963,206,644,732,783,201,305,633,341,469,616,191,345,070,633,332,558,
495,290,083,295,484,470,110,848,551,205,636,904,043,606,321,351,218,427,729,
687,388,883,292,884,119,086,219,313,331,900,389,793,056,670,371,551,114,715,
511,890,193,102,464,339,496,714,449,537,836,646,194,035,361,707,866,624,170,
206,568,411,944,519,529,076,573,309,205,483,259,250,253,468,901,085,505,542,
222,924,167,327,080,970,295,011,549,872,145,998,171,775,915,219,049,825,628,
148,437,001,214,792,395,698,312,542,605,224,984,449,050,176,964,206,046,249,
181,458,207,811,761,489,446,345,248,559,853,984,331,681,354,456,303,913,094,
241,924,020,317,528,796,682,235,563,886,144,210,102,774,507,716,043,670,320,
544,043,992,619,285,467,902,114,678,127,753,995,818,452,001,216,710,757,539,
342,968,750,974,420,063,683,892,863,320,710,139,175,357,894,542,647,394,238,
931,002,899,425,928,186,605,163,138,011,264,263,503,858,709,119,362,750,380,
549,053,647,344,936,358,727,526,620,237,144,435,854,368,273,449,869,424,981,
738,023,497,668,437,128,323,925,684,844,427,303,535,618,973,367,896,738,800,
479,140,250,848,109,417,421,308,917,284,263,416,368,808,075,524,015,189,072,
883,437,944,840,711,881,403,171,052,114,753,117,265,502,687,728,417,115,954,
613,567,278,176,959,521,794,103,506,275,809,077,050,856,843,556,638,714,614,
917,374,978,936,936,542,195,066,698,716,979,119,785,541,631,279,463,996,333,
403,479,476,715,247,716,991,432,117,214,504,091,851,854,025,307,379,671,323,
329,822,991,095,901,340,933,398,580,876,012,490,184,857,384,141,266,818,714,
717,617,566,824,482,941,589,997,582,646,180,091,330,643,255,534,233,504,341,
020,341,351,798,515,669,441,227,880,393,841,443,234,937,371,313,957,736,554,
501,731,418,385,231,145,298,602,952,668,392,528,527,513,864,801,373,008,474,
019,508,825,848,478,891,746,493,331,954,165,110,359,830,656,923,942,894,326,
022,574,834,217,232,686,390,157,377,472,016,895,133,719,305,024,613,761,079,
361,311,508,183,965,461,552,721,884,379,538,517,311,734,176,558,701,044,568,
323,290,680,559,320,302,876,422,597,753,330,534,757,365,869,381,187,219,798,
447,996,220,975,154,995,329,764,066,950,867,389,986,414,444,305,639,776,919,
295,243,233,421,742,258,676,897,448,659,765,167,983,995,311,973,089,906,997,
399,254,923,735,212,353,305,604,916,144,666,532,442,940,132,907,861,161,361,
873,230,139,453,468,747,912,981,576,871,498,500,139,294,548,272,530,445,430,
386,952,033,416,400,163,067,823,582,166,530,327,109,374,149,283,766,783,954,
131,682,853,221,487,159,141,633,556,658,241,587,851,942,963,106,469,853,220,
661,064,396,597,166,775,865,580,624,134,088,110,865,523,025,348,955,839,369,
638,756,863,068,717,423,217,946,866,255,500,259,574,936,251,291,873,229,481,
142,441,560,629,736,968,114,078,575,733,467,542,022,084,501,891,502,828,818,
334,912,785,728,122,856,311,019,744,310,082,926,531,371,123,106,910,862,710,
802,709,467,264,103,612,802,860,282,191,259,980,653,121,744,141,018,687,657,
170,085,843,121,531,320,648,530,685,034,498,905,585,443,157,591,166,740,993,
541,885,563,480,015,237,064,219,809,109,732,136,017,375,621,315,498,522,970,
997,158,045,685,288,964,594,933,543,840,009,365,278,250,387,543,481,214,595,
746,707,058,540,187,585,889,531,065,809,808,903,250,902,488,589,624,544,037,
345,236,536,102,734,329,415,844,810,219,909,176,262,925,276,454,372,328,710,
991,167,967,823,822,839,346,999,966,873,114,616,111,037,172,034,771,773,337,
151,632,152,774,830,099,900,631,199,752,596,811,291,412,252,095,197,541,349,
263,110,819,240,908,731,928,821,821,170,138,311,729,710,237,031,456,698,034,
704,511,099,321,718,413,174,504,168,767,782,374,867,548,246,182,905,888,782,
672,927,158,792,488,918,351,307,185,131,986,987,414,695,337,524,873,317,993,
330,263,456,387,420,176,720,324,824,522,071,349,232,951,810,734,453,385,713,
550,986,666,558,557,790,464,458,992,698,960,476,221,273,852,852,224,519,014,
377,687,847,941,144,096,968,831,764,512,454,723,724,344,631,017,814,948,705,
920,620,356,447,284,531,653,371,573,808,328,994,045,000,228,123,541,709,064,
048,986,556,459,850,669,842,907,700,362,071,396,728,518,488,896,122,700,862,
806,448,880,295,545,531,663,680,143,803,797,582,971,948,226,871,892,653,091,
600,006,833,791,055,403,671,455,152,555,561,469,531,536,830,710,765,195,875,
419,961,793,461,343,124,505,355,323,233,045,002,133,713,504,077,376,674,593,
163,011,123,304,722,409,941,169,613,350,532,493,145,655,855,483,349,347,894,
655,827,064,116,432,172,634,520,933,135,424,306,308,410,158,547,148,947,330,
038,852,393,674,440,958,634,270,476,528,246,841,284,525,547,809,940,997,579,
593,802,919,677,401,285,382,761,979,698,553,753,983,830,732,612,565,881,312,
541,270,677,679,417,277,620,584,221,108,232,000,629,824,244,954,197,425,967,
279,199,008,119,721,674,314,092,457,256,994,504,973,972,261,618,767,457,615,
515,310,951,859,123,558,834,445,889,858,180,647,383,148,903,291,835,320,545,
369,889,306,571,830,660,380,684,727,693,269,122,343,217,389,608,045,448,406,
912,752,003,284,910,269,068,383,965,747,235,454,887,655,927,639,217,896,497,
953,934,208,703,322,509,025,104,308,165,048,637,355,295,643,271,014,740,995,
078,899,862,943,819,489,126,756,485,753,983,870,885,694,040,736,748,388,675,
653,393,535,365,379,980,485,953,253,711,633,341,104,494,029,734,534,810,766,
973,033,909,836,466,363,268,943,310,409,804,161,786,205,816,270,252,286,127,
563,356,387,903,284,037,615,183,503,471,235,615,097,604,238,849,660,967,943,
208,703,053,116,619,081,874,097,027,438,125,931,976,338,905,236,390,991,484,
313,324,218,322,721,359,196,233,187,652,418,109,090,932,008,458,972,478,901,
404,305,536,686,348,208,365,543,653,377,729,987,381,559,478,269,398,826,054,
335,061,234,209,870,013,106,362,124,876,650,208,822,891,204,178,470,253,376,
504,452,333,917,132,828,775,172,681,823,345,308,850,596,716,493,080,836,047,
245,400,948,451,552,935,062,658,430,438,474,463,625,454,976,531,492,653,327,
525,541,496,541,352,367,063,825,402,244,517,684,427,369,418,126,180,406,329,
551,905,438,133,234,358,165,592,673,639,723,194,504,877,014,486,234,232,008,
142,433,618,905,132,567,056,727,468,963,010,365,779,523,091,752,878,230,535,
082,621,365,163,412,113,824,568,548,357,860,883,243,474,707,601,423,893,433,
954,436,817,183,115,983,935,724,551,141,578,527,722,927,151,185,108,161,755,
277,607,809,373,419,700,317,160,501,865,978,256,131,898,898,992,633,268,143,
892,068,401,727,150,290,556,017,922,575,917,269,895,570,840,400,635,911,649,
982,363,048,438,171,798,519,556,869,743,695,397,099,366,742,832,491,271,520,
324,878,648,953,710,270,833,344,337,520,559,543,864,071,489,513,141,135,253,
584,802,711,012,678,831,137,163,367,796,538,473,234,970,583,411,591,587,751,
963,826,923,314,534,676,957,305,584,486,124,953,434,733,138,552,964,718,380,
382,157,734,798,726,093,400,086,696,251,469,317,906,805,893,767,688,801,747,
537,687,008,822,621,708,251,742,439,061,538,437,209,319,276,236,026,256,615,
505,611,578,807,959,608,072,021,016,455,115,206,990,442,851,826,843,397,444,
124,106,366,186,161,539,240,798,739,737,154,850,038,944,264,630,081,757,211,
036,662,527,805,925,635,829,002,023,819,663,800,896,226,166,341,268,543,438,
918,992,785,804,436,194,739,924,215,254,490,444,341,280,784,904,547,805,766,
053,288,486,756,540,658,200,913,303,739,990,889,830,567,981,427,834,191,272,
728,030,128,313,796,863,868,502,521,595,510,187,623,184,695,451,628,065,794,
288,554,482,156,587,273,814,600,663,506,331,790,435,891,848,573,587,936,568,
101,371,612,825,768,585,890,586,284,865,440,474,271,820,597,873,231,957,163,
698,766,106,192,759,441,476,894,452,342,478,144,736,708,522,833,560,266,668,
772,888,249,318,380,604,649,359,850,354,794,397,312,226,326,437,150,390,208,
732,653,512,725,693,925,964,111,286,532,918,526,331,900,902,341,101,179,296,
811,665,065,604,994,745,987,281,527,040,045,468,381,789,254,371,450,775,375,
776,505,661,781,354,189,769,874,727,192,899,061,808,378,178,584,544,299,995,
986,438,190,927,207,246,797,196,131,239,646,179,918,884,355,377,756,001,948,
132,257,231,657,716,175,757,289,042,519,498,153,793,928,923,200,933,010,177,
034,195,875,740,087,282,493,213,059,136,358,830,369,788,018,244,646,731,100,
200,455,146,542,574,435,958,940,757,331,091,409,064,741,973,077,657,926,533,
032,072,419,384,334,407,526,404,110,050,157,476,269,499,195,998,559,849,779,
410,869,391,748,744,892,037,454,625,010,696,687,961,848,711,096,588,583,721,
623,914,241,564,497,065,114,298,191,638,596,419,441,950,969,274,591,631,059,
045,365,366,978,211,961,965,270,223,342,746,170,733,614,961,467,471,455,917,
176,296,862,832,222,211,538,011,523,235,170,349,054,901,067,636,820,353,633,
555,682,327,674,448,604,274,801,207,801,442,808,047,843,326,481,129,455,973,
493,639,151,673,336,240,520,269,171,467,626,101,938,202,663,283,460,001,583,
677,017,292,268,215,250,680,083,706,132,427,573,421,429,144,461,677,648,643,
490,413,024,014,922,708,228,968,255,346,832,816,756,549,335,282,239,600,082,
895,154,968,299,372,405,379,266,717,454,218,248,744,934,698,916,928,771,536,
069,114,690,066,620,568,450,459,225,946,776,712,430,298,640,425,420,093,150,
456,743,132,671,256,904,290,347,543,082,522,908,406,055,236,221,397,375,260,
440,118,948,059,528,193,177,728,288,925,835,976,165,021,845,026,929,206,468,
982,679,398,767,236,624,272,117,754,043,292,252,786,139,224,749,478,007,997,
867,313,532,336,866,885,659,774,385,988,436,887,586,602,220,187,934,939,600,
667,077,923,555,899,054,895,747,647,962,938,208,708,333,656,689,769,941,676,
424,779,194,854,801,623,098,006,004,529,426,507,079,842,857,834,817,399,256,
242,402,389,118,692,004,515,911,901,814,080,983,759,811,735,070,589,406,617,
841,386,317,433,424,768,229,133,797,017,120,740,932,823,066,430,877,148,832,
534,699,584,985,603,451,722,916,115,205,550,072,030,815,663,887,536,694,727,
180,487,585,613,584,303,339,496,836,592,678,041,833,729,502,445,500,501,148,
091,436,585,634,609,523,691,336,316,742,668,396,124,270,085,061,507,370,027,
679,550,520,431,451,452,581,261,070,132,009,491,331,909,560,117,127,479,580,
319,430,813,737,274,523,451,303,043,505,387,431,968,471,140,872,330,091,843,
562,037,824,957,355,431,854,722,325,659,622,777,276,627,310,123,788,408,067,
522,335,234,321,144,594,988,879,560,595,055,950,252,633,731,243,915,543,810,
743,131,061,478,115,923,446,147,411,105,029,384,857,642,858,614,150,073,355,
091,559,412,266,186,014,202,178,323,799,578,595,095,410,715,156,770,689,807,
211,110,401,780,040,666,824,082,052,112,802,269,494,546,000,435,843,043,183,
628,168,708,296,092,659,973,193,871,886,062,269,491,890,225,519,373,267,982,
343,590,141,800,789,391,715,319,024,263,634,077,231,535,460,406,567,924,057,
372,810,963,959,227,871,690,855,640,116,443,545,862,815,744,495,906,854,642,
090,151,800,812,799,937,158,693,268,777,009,098,368,706,419,588,545,347,423,
761,098,388,276,191,965,569,106,874,686,527,642,266,386,792,673,840,476,099,
361,893,991,713,076,203,059,458,546,536,393,821,283,228,747,743,113,060,397,
347,793,046,731,595,090,813,746,689,109,966,423,879,551,457,708,680,529,514,
458,534,142,928,715,917,096,876,937,928,440,839,143,195,173,144,741,118,476,
428,678,944,918,369,493,711,593,472,085,421,365,520,280,625,203,229,102,754,
666,130,057,722,040,863,174,817,548,141,354,208,115,927,753,413,469,965,139,
780,166,790,212,454,286,343,069,618,916,192,273,771,123,808,059,794,793,345,
801,672,841,174,974,000,983,598,947,167,080,534,456,412,029,117,987,709,342,
913,031,160,799,338,126,335,177,670,536,000,636,263,138,136,122,579,512,278,
854,884,220,321,045,047,558,798,812,986,542,785,807,269,948,533,900,846,176,
851,939,624,312,382,285,891,424,771,696,838,519,615,532,329,053,993,052,500,
677,120,799,641,027,491,324,949,047,114,014,603,768,760,384,234,040,352,852,
071,088,386,035,343,846,020,056,000,825,852,490,912,655,463,144,155,854,704,
941,932,465,263,457,447,262,365,663,457,966,206,528,797,612,563,323,981,369,
793,149,289,952,348,982,508,843,183,590,356,530,866,984,211,602,011,566,577,
521,165,712,023,700,717,485,330,932,573,402,026,296,352,327,751,936,429,169,
392,613,589,245,534,882,056,283,991,249,791,594,047,697,626,273,665,745,513,
745,916,899,602,893,773,140,095,007,289,945,664,990,040,297,836,773,191,063,
380,321,070,609,063,454,161,086,129,076,006,099,316,236,941,291,126,725,689,
351,183,644,023,870,393,971,206,208,305,485,742,139,268,007,408,820,882,505,
924,462,593,742,480,636,428,782,886,243,682,550,598,337,021,517,159,089,707,
958,570,741,017,235,070,940,316,303,207,728,377,701,408,752,240,485,517,067,
122,420,795,199,881,344,832,441,163,819,473,086,994,262,212,761,939,987,085,
541,315,438,215,073,700,936,029,734,392,984,728,515,703,670,370,043,468,301,
454,253,775,834,329,004,882,131,692,567,483,831,584,509,866,245,257,192,236,
082,605,644,424,556,719,047,255,349,147,232,474,552,205,006,358,738,075,241,
516,564,580,103,774,045,569,056,735,553,415,219,867,451,319,049,654,546,902,
304,841,689,248,998,828,874,751,402,112,531,059,721,303,146,766,032,615,272,
630,283,729,426,326,743,833,230,504,331,623,122,815,305,383,992,575,537,306,
041,833,961,576,706,406,575,296,225,469,219,274,220,994,602,443,762,047,424,
538,221,608,398,126,877,721,072,895,774,495,502,229,866,487,899,399,437,746,
187,610,092,884,346,728,522,470,666,826,222,716,805,399,783,576,073,114,591,
019,607,544,743,214,117,770,752,353,369,203,444,048,191,275,923,512,149,279,
255,313,405,770,622,002,069,868,222,072,679,566,210,898,475,266,705,996,305,
882,980,943,261,562,701,016,111,524,086,136,554,610,726,439,593,546,786,656,
887,265,563,352,337,913,873,080,505,797,157,557,513,081,510,710,460,411,031,
046,742,039,846,507,141,860,453,201,508,105,169,184,546,217,286,166,573,789,
974,766,858,579,253,663,669,968,133,331,015,142,418,113,650,735,712,576,690,
893,056,255,961,170,082,359,818,941,354,063,416,530,473,069,372,492,137,015,
093,084,531,123,610,275,022,268,003,670,222,940,298,839,873,014,225,378,199,
451,298,061,627,467,568,319,360,064,903,644,222,632,897,979,365,467,219,550,
181,526,085,717,252,342,315,945,905,607,986,412,340,604,744,999,350,767,399,
395,897,488,969,897,695,754,906,377,177,825,525,606,726,339,063,565,259,217,
949,601,750,834,704,104,293,086,876,601,940,058,607,208,460,688,957,238,970,
061,615,026,178,444,561,283,454,386,952,538,777,037,191,735,347,895,469,155,
398,922,494,988,325,586,438,397,769,889,703,440,587,552,674,688,956,142,311,
835,929,937,248,505,159,058,074,059,189,047,048,112,307,546,696,197,716,825,
121,559,587,938,595,716,870,654,466,437,866,172,984,833,606,736,703,417,501,
978,070,910,794,278,094,320,356,609,500,289,688,908,396,370,667,665,067,288,
911,443,602,800,718,612,929,045,540,376,674,571,840,573,921,346,725,367,611,
155,191,425,452,728,092,163,813,793,913,698,495,802,667,808,326,362,795,059,
260,814,417,986,134,671,927,915,615,273,779,609,427,373,381,910,208,410,796,
156,620,545,761,835,438,582,416,293,731,732,137,423,224,063,778,493,087,794,
378,240,794,630,538,071,376,804,348,937,881,123,024,923,888,861,995,431,243,
182,849,128,353,122,440,116,303,781,055,754,323,604,196,274,643,489,785,437,
647,769,669,234,696,445,341,001,052,643,695,454,102,806,464,615,533,835,506,
327,208,244,449,783,486,166,962,366,242,438,398,469,208,959,092,290,327,484,
867,059,085,595,463,800,848,410,360,867,812,518,000,807,247,481,705,268,038,
008,605,650,596,784,615,932,130,354,212,436,535,894,401,131,416,725,108,385,
681,049,360,877,884,091,812,075,694,707,584,306,264,068,501,862,127,571,749,
818,399,784,359,572,990,396,138,294,377,615,786,297,102,936,158,069,519,689,
269,355,131,118,532,809,016,403,772,681,563,026,074,716,953,440,903,786,275,
299,090,827,352,968,944,010,507,944,366,300,425,664,629,030,622,245,622,254,
405,071,065,716,553,455,655,626,658,253,406,754,957,239,780,637,435,627,822,
616,367,466,962,755,231,729,344,309,941,220,647,150,040,897,557,852,493,580,
120,274,548,118,500,916,227,663,855,521,126,464,383,288,503,573,138,006,646,
633,622,370,181,661,861,715,246,405,936,321,025,776,387,844,941,555,430,042,
361,654,099,293,489,740,932,251,946,584,649,840,882,817,357,929,779,917,982,
250,699,417,163,129,918,348,726,310,676,351,193,329,796,357,926,907,293,833,
169,760,117,339,500,894,138,181,991,776,273,140,672,004,626,296,118,069,275,
063,482,053,874,810,480,608,808,279,705,354,242,785,191,632,175,159,276,544,
094,258,854,191,794,285,942,303,685,408,552,679,509,651,816,580,323,004,695,
395,831,819,836,149,703,259,102,545,790,667,696,705,328,679,429,856,022,712,
841,666,440,205,430,775,391,749,186,408,648,899,656,120,925,644,762,013,570,
178,335,312,351,850,653,460,814,126,135,845,449,354,908,171,680,954,220,009,
039,842,821,986,972,781,641,796,521,486,593,190,048,035,844,898,553,976,781,
220,056,918,564,957,444,100,174,744,527,718,304,392,732,039,672,187,605,845,
153,398,424,978,073,108,858,702,944,552,576,252,070,497,018,241,231,783,370,
790,026,633,659,537,264,651,271,390,482,748,369,556,838,524,468,123,667,464,
212,719,978,932,176,746,465,780,904,004,801,509,291,996,961,029,909,553,652,
536,156,873,473,390,154,722,916,353,526,078,535,267,823,045,289,381,151,370,
122,760,019,986,899,763,792,488,796,673,910,016,161,973,026,777,959,867,073,
123,577,455,802,360,699,033,746,855,865,020,040,363,068,054,584,444,284,730,
274,637,278,132,425,829,076,894,367,249,945,812,370,813,659,617,551,903,676,
728,933,715,354,556,821,735,034,749,776,551,055,543,176,126,255,473,554,516,
969,728,849,484,252,365,979,674,925,037,169,027,300,591,182,626,996,748,903,
583,066,784,765,717,668,856,710,571,015,594,419,359,007,193,962,882,183,739,
859,021,423,330,569,110,880,668,957,492,159,924,667,072,220,087,556,259,917,
135,918,925,301,196,899,153,206,173,555,863,209,773,856,394,630,393,631,849,
113,201,175,074,535,463,703,172,672,965,106,642,511,462,422,501,023,608,522,
299,682,458,598,850,869,682,746,136,221,697,020,493,871,590,949,583,301,632,
808,069,255,373,617,198,826,108,395,767,894,121,347,668,507,147,658,056,465,
793,004,513,749,512,403,682,633,866,676,266,971,137,525,600,004,697,839,588,
517,421,315,278,983,224,822,455,737,850,765,752,925,020,899,409,124,258,346,
751,784,832,759,417,431,937,488,976,402,426,593,343,131,597,199,043,033,500,
556,351,812,784,743,845,886,748,405,530,705,220,938,055,204,532,281,406,445,
410,268,079,495,752,766,424,550,595,892,275,206,819,335,720,347,957,515,863,
824,762,802,976,368,540,846,323,502,190,603,098,263,505,658,918,406,042,739,
568,664,830,536,983,536,073,595,163,232,976,540,151,749,130,525,985,782,567,
986,276,020,571,132,875,044,723,934,790,654,171,703,456,120,229,051,385,550,
495,726,309,887,922,209,665,172,183,512,233,698,629,226,298,215,946,774,390,
527,607,545,710,385,847,609,559,055,247,724,236,146,385,427,864,098,675,352,
003,287,061,594,645,407,487,000,802,835,427,517,800,917,407,059,045,110,461,
356,757,167,179,441,087,137,557,935,095,545,615,742,216,513,347,271,272,804,
667,267,835,448,712,875,897,218,010,258,541,840,685,580,817,659,768,138,470,
780,171,322,069,411,372,093,895,522,000,625,344,822,724,196,329,221,655,084,
122,277,135,721,548,639,733,743,994,038,157,215,709,318,219,703,519,653,280,
877,691,984,981,826,028,478,309,252,037,950,676,543,655,138,178,082,905,643,
870,791,418,634,919,309,664,543,144,093,678,257,019,659,071,020,525,385,623,
248,860,282,390,082,477,892,227,838,142,002,852,971,569,491,957,762,332,055,
035,770,086,938,409,587,135,472,385,028,852,030,144,445,311,942,436,791,869,
413,497,379,381,969,877,396,460,670,221,978,415,259,969,502,542,761,494,475,
842,064,009,941,271,111,664,039,019,773,387,763,519,002,260,771,116,461,892,
046,312,281,138,244,186,623,319,358,319,130,756,692,005,333,962,865,126,396,
163,646,991,361,227,596,166,944,802,200,283,225,156,990,938,533,674,515,505,
132,813,117,037,001,716,750,613,340,263,703,772,140,908,456,416,418,719,852,
009,270,395,216,386,929,531,523,787,984,726,414,989,014,020,168,964,188,027,
447,401,644,747,057,679,928,160,694,682,522,525,768,448,128,406,278,435,149,
017,088,741,670,504,721,748,128,854,321,729,373,312,415,262,217,452,310,679,
523,018,982,415,099,431,965,580,482,610,257,309,852,808,176,225,714,811,071,
707,187,027,356,730,379,231,048,737,735,755,377,445,885,989,587,333,326,340,
892,122,473,601,282,021,883,598,003,714,942,234,774,026,757,380,351,653,573,
530,448,968,540,643,894,196,761,785,885,981,642,851,685,015,682,393,879,175,
609,017,069,601,057,134,908,686,506,412,299,882,317,781,202,913,290,840,038,
675,114,951,629,270,870,623,355,902,633,895,070,462,916,615,314,892,917,557,
060,799,490,718,208,182,298,425,032,798,105,135,246,981,032,122,548,671,183,
225,039,685,271,253,939,436,021,273,676,837,159,365,424,495,552,280,194,670,
276,582,562,919,813,461,794,229,426,236,817,964,756,753,650,679,744,337,638,
819,946,461,508,566,166,256,046,791,167,525,801,376,393,207,501,749,771,837,
182,597,781,210,148,740,226,470,323,979,699,718,970,454,530,461,916,656,354,
609,941,533,280,793,424,983,513,278,044,785,307,049,227,231,572,074,558,179,
214,002,194,133,533,097,143,049,933,267,405,063,940,419,692,599,868,161,400,
642,258,762,692,189,855,171,665,262,635,436,841,375,296,335,029,244,364,256,
912,163,761,230,667,719,803,478,569,658,783,678,080,841,906,542,257,671,960,
555,649,377,880,440,163,937,484,546,595,657,910,938,304,831,858,509,241,142,
711,191,272,394,879,342,852,833,484,444,020,393,315,766,359,640,464,339,464,
871,680,129,625,240,233,113,657,842,555,739,765,707,014,952,718,918,330,342,
081,526,989,796,511,287,545,193,103,598,565,962,972,272,981,685,227,862,154,
299,702,448,773,673,393,701,397,354,482,047,022,167,540,559,728,473,101,430,
902,795,451,566,220,639,332,068,168,925,608,913,904,803,396,968,854,869,350,
817,442,497,485,759,194,740,979,361,598,381,924,876,669,556,431,528,520,087,
855,519,857,387,130,783,572,669,753,358,281,974,853,681,712,853,913,062,569,
890,860,373,813,887,274,966,563,468,188,464,367,614,725,559,608,383,760,418,
740,127,163,571,430,104,641,446,949,890,347,303,703,919,339,667,531,109,755,
898,108,921,583,959,629,982,686,661,865,998,237,641,992,390,624,399,575,648,
394,460,046,503,016,640,303,504,886,460,521,320,763,643,069,372,013,827,772,
542,250,672,374,931,574,071,852,546,487,204,880,467,958,118,851,385,469,129,
800,407,716,398,004,366,753,387,563,223,186,963,886,454,435,018,646,545,012,
822,624,880,973,273,791,351,456,211,056,301,022,805,053,443,331,585,644,862,
293,408,210,628,839,213,923,997,604,169,243,126,296,851,625,977,300,191,503,
901,804,040,023,785,902,698,617,152,551,016,590,725,273,454,765,582,331,058,
488,749,374,151,137,773,381,619,758,039,699,155,977,690,890,655,831,835,285,
920,845,955,500,889,556,965,807,316,189,775,706,848,171,093,833,944,447,731,
840,729,552,563,791,928,272,512,550,011,706,576,781,836,943,657,108,047,249,
844,891,645,279,072,720,647,808,723,742,641,948,574,857,305,004,924,781,426,
424,089,492,638,363,286,297,040,801,889,686,340,022,861,163,213,551,286,179,
258,726,128,521,767,133,846,806,298,398,249,752,850,714,750,567,246,932,826,
491,993,222,215,485,439,467,995,880,540,333,105,150,805,064,059,401,022,181,
517,608,224,193,323,685,814,730,875,038,202,286,637,783,789,316,944,961,892,
176,537,480,497,498,297,720,988,845,180,036,813,919,626,603,797,580,643,840,
167,231,346,627,227,541,355,831,597,193,480,825,142,177,755,709,625,096,895,
627,240,491,643,019,521,826,703,318,477,802,088,402,632,021,718,829,262,199,
706,296,223,056,109,439,256,848,860,621,441,428,194,109,730,823,379,462,142,
668,203,588,480,473,780,783,058,805,565,587,635,658,825,725,922,573,615,619,
719,964,826,175,722,935,054,050,796,325,519,513,919,789,851,421,715,320,072,
274,907,521,676,888,416,539,438,965,622,278,692,999,113,348,840,878,877,591,
099,251,512,154,698,339,925,403,098,756,119,650,695,272,160,134,500,943,196,
947,595,762,677,681,957,929,687,928,625,987,043,260,618,203,455,276,932,772,
686,759,309,524,537,561,346,232,339,248,102,163,077,045,465,168,832,008,819,
238,472,790,966,769,311,633,027,151,806,159,387,273,816,641,469,850,924,677,
747,420,482,899,074,009,210,326,195,508,470,135,895,220,647,099,572,924,909,
866,050,909,533,640,262,229,160,228,943,648,918,485,030,168,760,279,940,601,
063,998,106,242,330,512,320,577,275,138,448,441,768,918,853,257,298,884,257,
615,745,522,141,639,750,695,803,516,292,743,756,338,063,202,795,708,766,927,
283,473,848,855,181,613,579,250,875,560,228,323,969,183,459,719,159,509,030,
877,355,201,395,700,383,420,376,150,162,704,080,221,899,433,348,911,618,074,
237,982,104,989,263,667,804,853,614,296,231,088,850,201,377,525,435,420,520,
314,881,847,372,043,505,606,315,477,289,572,527,911,141,563,182,965,568,595,
476,863,483,936,587,923,796,511,264,231,527,120,976,653,639,987,069,782,191,
820,418,784,014,574,415,610,803,006,098,128,099,754,960,064,663,564,561,517,
913,013,311,889,795,293,110,065,455,288,518,823,093,488,968,159,312,871,526,
463,163,025,850,636,868,009,640,707,177,919,923,433,769,648,166,832,276,145,
573,053,270,846,847,140,888,474,401,645,497,151,221,437,711,297,823,764,860,
365,830,608,514,438,488,416,989,856,321,934,811,039,916,914,991,482,930,765,
672,873,747,496,556,642,005,136,098,421,449,380,959,949,190,623,411,597,100,
993,965,021,073,329,101,158,759,216,384,576,519,804,538,423,431,965,076,436,
900,397,209,351,929,379,586,444,144,279,727,760,704,362,541,546,191,210,702,
292,345,942,906,652,803,355,547,867,201,925,008,084,656,271,746,856,504,323,
219,807,727,010,975,050,514,386,741,792,689,004,168,535,370,852,588,485,789,
420,570,270,193,330,733,359,064,133,066,502,015,084,477,182,739,524,657,879,
401,154,814,609,825,092,793,548,571,813,428,933,993,883,225,328,502,295,691,
311,677,707,595,158,021,222,705,860,433,191,776,518,534,806,009,814,712,213,
845,344,129,389,549,351,099,113,648,489,681,176,864,919,639,068,593,937,325,
502,920,867,169,318,910,344,404,062,798,314,742,767,392,417,483,104,972,175,
755,615,823,939,035,685,807,057,973,585,805,177,617,483,941,321,132,607,183,
004,359,254,459,978,162,855,701,767,792,821,460,567,570,259,707,594,054,872,
728,598,296,181,145,430,594,749,095,095,182,356,721,520,743,813,427,042,927,
786,299,884,374,994,655,990,923,359,012,021,150,518,191,389,349,715,460,943,
025,302,718,094,782,199,485,658,937,844,769,466,279,886,113,249,863,482,214,
289,338,661,789,666,330,212,424,052,683,803,332,342,753,880,959,125,077,442,
356,387,174,844,886,659,452,213,527,761,377,348,820,309,116,533,005,638,053,
718,341,898,675,976,450,876,187,788,420,064,724,181,671,030,068,664,226,148,
622,249,393,930,975,939,649,211,700,381,274,757,325,767,532,178,707,895,587,
777,796,714,744,160,872,243,831,072,451,208,092,952,592,864,495,651,407,686,
471,360,479,788,245,501,796,894,481,633,744,303,551,998,804,139,284,031,254,
827,374,941,004,897,739,418,143,715,981,434,805,833,904,992,254,588,822,292,
087,605,918,597,503,179,406,518,718,711,175,877,304,195,000,559,627,060,539,
342,911,835,114,595,478,782,190,495,251,828,139,766,013,623,195,688,142,175,
777,749,248,640,986,461,212,640,244,318,319,093,518,513,067,357,059,773,629,
644,954,702,718,105,971,149,810,327,947,708,982,263,338,253,480,817,822,789,
439,500,191,357,630,845,940,075,244,659,062,489,740,044,534,594,419,543,144,
299,756,831,376,900,891,219,178,302,683,804,981,058,335,253,005,513,175,125,
734,419,869,299,513,467,605,687,093,438,139,932,277,346,455,701,103,621,227,
614,374,367,214,507,013,164,584,060,236,247,511,440,268,253,780,113,054,914,
759,112,438,432,082,389,535,329,822,723,605,011,561,079,203,167,111,534,185,
235,302,865,337,066,451,875,363,082,102,867,009,041,934,717,865,949,420,339,
091,777,537,685,965,049,164,268,239,558,668,488,558,409,450,748,494,137,562,
505,505,787,463,202,049,276,766,867,682,819,245,191,541,505,000,517,734,787,
695,861,905,522,012,881,422,094,866,028,746,677,113,230,238,986,567,813,141,
930,352,090,355,778,088,841,250,280,527,845,893,123,884,156,055,514,774,504,
695,495,213,582,385,098,013,025,574,178,496,051,793,617,396,282,116,082,149,
106,119,610,192,818,008,666,596,336,630,941,556,834,173,168,347,751,391,073,
868,463,654,662,060,872,976,615,794,456,880,173,521,559,940,803,465,369,686,
325,829,965,767,905,623,089,004,628,113,898,553,447,234,154,427,525,966,614,
321,142,906,668,155,265,621,069,658,528,345,246,002,904,559,998,067,019,387,
252,132,865,767,647,991,965,353,870,118,421,392,988,175,811,830,807,785,485,
810,767,541,478,763,660,375,400,875,289,180,196,404,634,593,470,779,842,745,
607,557,938,535,217,051,974,151,417,633,672,668,748,771,756,632,696,335,287,
102,237,236,067,880,137,906,520,002,076,664,494,173,143,842,744,921,436,345,
516,719,388,955,680,620,778,947,996,153,763,619,394,943,473,898,259,894,654,
716,092,638,380,733,841,005,082,268,819,003,635,479,671,053,777,116,448,562,
226,722,265,683,815,179,395,802,522,734,655,772,104,679,327,705,263,331,170,
056,139,368,679,619,289,676,600,058,090,117,714,564,146,360,602,609,281,900,
524,334,014,574,299,100,902,505,270,368,236,101,264,845,508,759,065,863,885,
901,309,097,404,249,864,061,277,347,486,775,925,970,297,854,955,999,502,494,
787,003,821,316,648,113,388,244,886,931,265,716,963,132,298,251,196,588,615,
488,397,314,637,710,922,608,711,746,027,808,591,367,309,265,435,047,662,005,
822,320,015,669,875,794,869,809,432,037,908,612,702,036,284,739,673,221,153,
222,871,616,294,243,699,152,710,714,001,776,656,836,948,443,530,209,694,931,
078,082,297,165,801,684,165,433,235,365,664,378,357,968,350,245,081,112,306,
800,403,492,611,170,870,843,335,210,963,917,193,970,349,016,859,135,226,610,
116,542,217,563,997,137,358,855,237,811,528,571,621,254,349,021,869,199,349,
312,695,084,725,672,418,779,248,336,728,446,809,008,810,776,082,959,266,791,
906,211,396,236,645,734,108,412,687,338,652,560,623,001,504,122,762,717,581,
307,621,054,310,712,503,205,764,325,315,286,530,465,928,195,613,987,344,388,
943,773,510,846,764,585,580,053,040,229,024,866,771,661,850,552,330,400,426,
033,774,639,591,207,905,496,575,692,979,021,612,249,429,526,188,687,706,516,
800,011,561,040,527,005,971,737,852,916,363,083,892,021,111,640,676,562,645,
507,799,325,107,724,776,640,151,451,186,760,128,388,903,971,221,318,483,900,
128,278,700,474,743,385,124,440,426,254,923,759,341,315,930,530,356,107,431,
097,944,319,776,993,543,699,080,059,075,501,249,557,858,757,573,991,633,750,
867,105,653,555,361,779,593,590,802,429,531,357,556,797,997,155,224,550,769,
584,193,265,418,957,600,610,417,623,095,031,526,865,882,325,663,331,846,927,
918,810,870,296,944,298,839,862,482,569,869,848,557,307,334,132,421,611,817,
944,202,336,513,348,970,117,251,321,845,857,290,238,650,883,477,580,487,182,
036,595,563,765,039,929,822,839,081,533,125,853,557,118,596,645,983,424,024,
267,449,188,265,095,394,604,807,139,518,506,772,382,037,868,526,910,947,840,
670,117,403,845,429,710,085,323,716,891,815,700,749,093,370,793,082,958,403,
900,079,817,647,284,069,948,102,541,922,590,881,532,787,496,778,982,465,059,
146,675,342,121,730,980,527,867,436,575,767,852,865,937,658,626,176,186,662,
927,873,567,783,104,936,056,349,020,762,735,057,373,461,806,945,531,314,933,
660,331,872,884,969,149,997,044,530,395,478,204,873,935,299,278,680,315,797,
622,921,895,133,291,589,593,199,409,666,940,987,090,021,126,206,691,393,400,
422,915,828,177,622,866,499,227,452,914,937,205,834,373,331,372,788,570,555,
592,040,456,119,342,034,847,324,940,595,927,033,156,575,530,172,818,560,627,
568,152,186,959,813,633,641,626,312,453,703,347,085,218,709,118,844,684,135,
216,681,054,355,752,228,690,993,953,402,322,568,351,435,445,115,949,261,306,
380,096,389,879,002,256,662,796,461,675,641,061,756,169,554,206,102,207,712,
261,448,988,780,596,949,202,584,677,194,592,641,734,541,008,141,030,715,374,
504,931,702,519,869,214,938,001,583,406,068,197,758,495,279,446,471,855,781,
458,022,141,144,379,334,175,421,573,053,283,212,825,336,600,204,304,779,672,
004,378,307,616,240,167,212,240,221,575,284,023,842,066,044,418,222,554,774,
352,129,979,959,877,409,253,274,574,856,160,982,099,788,894,191,748,715,529,
045,996,741,779,262,588,584,824,023,714,976,065,099,282,803,399,647,002,557,
204,798,363,913,139,490,204,701,783,065,301,417,551,081,334,277,999,413,424,
817,122,770,379,396,694,539,085,422,903,469,362,625,002,045,589,017,468,907,
229,851,664,042,944,609,108,142,977,835,451,329,286,361,859,175,408,058,302,
415,680,005,514,548,010,861,343,379,768,450,991,931,425,565,090,512,827,041,
356,386,833,908,062,251,987,237,195,831,240,669,992,034,559,902,724,009,898,
421,320,345,048,861,767,672,018,887,968,959,005,917,869,757,387,372,042,350,
488,269,485,359,425,246,487,438,021,847,367,280,991,747,204,450,448,931,664,
665,148,578,985,645,205,002,232,379,353,107,262,355,761,992,830,124,579,707,
857,233,974,720,169,885,075,169,688,316,735,264,514,159,989,836,599,317,647,
266,597,869,139,472,029,301,189,237,214,819,748,201,514,197,846,961,285,206,
780,291,999,381,195,993,904,383,765,551,484,609,245,988,985,774,792,562,252,
727,611,829,442,575,016,616,249,874,171,988,781,034,723,488,026,597,927,538,
564,155,025,753,847,051,435,163,273,029,518,351,000,343,810,809,085,523,103,
684,438,618,173,226,041,544,909,663,255,533,867,743,633,443,207,182,747,461,
094,185,833,154,595,534,211,927,903,799,338,018,477,516,719,818,868,658,017,
819,987,900,846,958,448,363,133,114,962,840,379,881,422,321,402,143,286,086,
134,057,070,240,276,705,967,501,876,908,033,465,383,439,284,583,104,952,289,
553,757,413,765,393,776,037,224,652,881,044,248,502,657,261,476,284,568,866,
639,206,483,120,064,029,835,441,818,654,279,844,392,951,259,722,694,711,677,
512,477,734,896,615,558,895,667,930,761,429,205,106,253,196,670,023,136,681,
773,507,739,047,306,293,672,762,854,388,656,557,654,436,717,341,131,544,756,
366,770,663,149,673,300,665,924,184,451,028,495,485,028,426,643,471,768,244,
263,633,715,707,135,196,407,485,015,069,962,235,457,831,153,183,491,612,480,
174,315,204,234,727,415,234,216,759,038,308,162,059,962,187,264,668,947,554,
320,914,387,408,047,400,999,961,919,710,212,864,018,088,619,800,623,173,392,
035,640,468,096,439,487,847,337,911,559,154,021,439,054,791,601,090,049,298,
524,732,836,748,221,310,582,697,021,669,544,209,811,257,835,289,575,884,607,
106,285,047,457,388,773,247,341,542,498,543,608,965,688,057,125,328,578,444,
641,430,346,785,827,795,347,135,839,211,637,731,455,467,290,859,266,174,520,
212,205,106,400,291,435,639,539,775,024,261,213,068,242,230,487,932,493,039,
307,429,450,406,725,188,014,635,864,760,152,481,010,941,145,184,366,511,495,
529,956,658,924,211,877,267,508,183,629,047,258,024,011,103,197,004,648,489,
101,998,098,943,210,905,723,145,026,915,439,606,748,401,260,521,090,391,633,
551,258,201,800,317,190,356,357,513,441,407,738,299,959,768,846,000,492,560,
054,220,086,802,212,238,145,864,977,161,172,515,020,773,546,121,119,109,193,
394,561,947,399,017,909,270,776,982,306,387,498,282,231,299,628,709,639,513,
985,582,688,784,586,061,275,295,875,404,620,739,830,696,322,902,744,868,910,
415,894,473,288,742,280,757,481,796,670,743,445,183,206,155,399,395,393,967,
959,948,282,964,829,545,247,673,048,091,534,793,285,137,159,940,247,730,061,
773,165,786,082,520,526,400,729,409,283,845,250,307,906,818,846,437,251,675,
091,302,679,314,282,683,548,771,121,392,136,994,443,214,079,711,872,028,979,
627,154,624,765,788,266,440,466,914,318,679,705,530,205,112,668,105,129,080,
073,434,324,677,935,493,017,285,356,349,228,612,286,435,860,175,710,687,566,
948,007,574,386,904,997,360,726,757,385,018,864,399,122,358,302,515,409,835,
670,748,753,450,743,221,683,250,885,237,192,520,001,708,666,346,631,419,981,
706,961,791,930,887,284,046,013,575,638,765,439,618,359,197,724,303,219,736,
582,885,518,988,965,958,863,270,950,372,614,863,293,606,321,421,774,865,849,
282,404,323,746,219,602,375,542,085,140,686,560,126,269,741,926,469,155,565,
385,311,832,899,524,556,210,401,565,455,450,678,568,041,719,529,479,813,441,
604,867,633,380,022,715,435,519,774,011,255,198,240,170,187,513,102,595,815,
884,702,544,982,522,974,801,371,916,466,324,387,064,460,946,589,401,744,920,
797,484,129,430,704,901,091,402,219,178,423,003,478,886,008,074,476,736,921,
990,818,891,653,335,069,524,987,757,941,847,230,509,860,847,901,587,287,064,
987,450,807,209,169,665,154,266,710,688,634,482,687,533,635,560,525,001,336,
162,731,077,415,070,502,379,908,024,454,320,517,117,446,252,947,174,396,842,
272,100,445,963,745,263,232,371,778,567,893,385,388,653,456,979,364,053,905,
780,848,684,524,652,360,156,640,011,470,612,283,773,424,390,378,555,978,137,
077,627,570,846,620,535,390,952,303,465,608,302,331,007,014,238,087,373,375,
892,442,216,028,325,382,501,333,603,269,962,042,435,504,167,470,806,201,124,
510,983,051,701,637,999,535,584,587,531,268,546,183,051,037,285,037,278,987,
578,932,545,497,938,444,059,596,551,855,138,961,751,950,942,336,721,249,318,
545,718,791,175,393,677,046,568,227,762,901,633,695,539,631,435,880,748,267,
781,773,340,564,619,799,972,889,626,975,878,917,496,289,466,645,009,258,456,
012,484,510,960,354,304,255,415,213,459,530,947,426,208,543,516,328,777,431,
346,382,868,959,706,679,814,715,205,189,293,918,886,728,171,996,625,911,686,
827,742,830,111,457,829,904,744,082,766,939,278,552,028,962,085,926,795,324,
220,654,416,367,202,941,485,576,919,308,921,025,864,626,935,404,635,936,150,
497,733,824,592,363,100,351,113,737,621,893,326,068,648,334,088,941,489,068,
617,422,896,254,726,220,637,057,780,050,434,458,309,310,770,027,371,919,776,
261,813,983,146,799,051,375,705,888,885,577,483,438,790,095,017,548,255,865,
170,537,719,480,625,666,871,304,250,015,642,908,380,112,532,534,713,006,052,
341,722,521,749,795,335,381,756,406,769,182,044,878,235,752,756,298,570,944,
990,262,196,723,866,614,110,551,673,610,827,280,028,652,122,060,546,916,509,
665,362,690,471,972,074,128,769,018,196,475,548,098,380,942,273,258,134,486,
159,365,385,430,010,298,496,399,742,673,173,830,258,374,235,432,414,322,917,
388,445,389,674,514,644,869,557,014,677,643,590,836,584,329,430,463,672,646,
995,695,888,965,413,605,445,098,766,988,897,499,378,307,352,490,003,978,968,
369,640,209,914,658,192,953,173,671,020,027,596,077,710,932,987,416,952,831,
955,047,283,265,974,438,839,122,024,506,565,539,260,006,730,120,233,252,876,
098,916,990,670,585,200,427,974,800,604,457,555,023,610,672,038,283,469,399,
164,619,240,635,798,995,143,455,259,264,620,208,495,241,227,675,378,898,457,
245,770,770,043,940,970,801,872,692,466,091,736,882,301,512,991,724,945,161,
373,141,296,425,865,451,940,541,485,025,991,823,508,244,168,482,525,274,148,
586,818,681,276,547,590,987,451,366,276,585,684,125,341,836,037,835,547,335,
288,708,414,517,056,676,963,094,668,429,520,826,158,047,713,242,073,308,955,
670,991,887,753,871,042,787,100,126,911,952,477,413,121,028,220,589,925,606,
591,163,080,422,564,204,576,640,318,654,889,347,041,556,937,250,020,697,372,
434,465,523,895,871,117,119,219,890,607,080,659,951,297,921,527,879,290,914,
046,227,975,315,762,881,888,996,591,275,291,628,705,524,653,513,908,966,702,
587,571,098,462,742,077,336,549,409,185,353,778,092,158,085,675,527,486,271,
194,702,564,559,162,388,937,739,017,969,572,716,346,034,009,357,294,430,602,
802,491,147,841,318,931,111,547,846,101,165,428,901,315,096,281,759,661,263,
273,625,243,548,042,865,480,476,581,001,524,605,449,903,361,809,567,458,795,
652,639,715,823,802,862,058,974,541,813,908,624,267,049,340,677,773,683,534,
435,861,133,140,970,199,870,258,135,611,998,270,437,847,388,361,153,940,172,
266,262,741,703,619,976,282,564,865,205,012,876,636,860,939,419,587,393,672,
144,038,387,165,957,033,897,223,538,816,795,658,683,479,804,779,876,092,192,
785,811,847,196,387,698,966,658,812,149,313,215,415,065,054,593,803,426,727,
949,254,691,462,256,636,218,037,652,225,749,400,562,857,231,295,918,928,653,
909,775,282,371,555,055,613,147,991,001,284,414,128,260,178,087,410,706,938,
547,225,681,031,716,984,554,709,732,537,355,038,046,960,568,775,674,651,485,
953,813,377,522,639,216,078,242,526,875,937,073,045,916,439,705,839,762,747,
530,412,406,125,228,364,807,065,382,606,263,920,558,388,380,095,584,375,836,
743,841,597,796,723,573,279,862,941,189,394,659,786,341,334,059,174,948,253,
389,951,941,164,197,493,038,348,254,215,077,156,083,673,573,847,745,088,827,
340,667,080,164,969,757,585,099,728,270,866,109,661,913,255,896,602,028,217,
194,145,260,784,095,702,960,233,874,506,861,028,001,149,565,230,456,238,630,
754,987,491,218,785,821,816,071,934,659,464,641,557,522,225,246,951,844,373,
416,058,507,834,792,210,286,994,000,336,041,835,611,107,447,662,646,254,555,
699,915,466,568,540,831,339,214,799,103,835,717,206,904,986,309,095,857,941,
342,574,427,074,795,375,631,206,838,758,544,285,567,636,507,107,762,733,818,
326,300,981,598,918,107,829,684,227,657,326,611,672,740,779,012,440,532,152,
473,867,368,314,276,807,829,600,070,837,678,609,644,479,249,356,755,745,987,
474,967,104,400,080,431,551,887,266,128,561,825,505,590,313,123,676,862,566,
296,045,291,242,494,571,251,209,206,573,505,153,002,394,702,907,305,753,107,
344,096,445,921,719,966,499,736,204,817,933,795,437,006,721,835,969,921,629,
164,710,889,835,355,122,165,831,269,358,158,889,176,546,368,145,914,575,870,
413,586,206,331,889,230,592,538,382,126,426,290,307,286,761,394,026,382,463,
968,269,454,457,964,553,506,125,054,065,705,968,639,915,488,901,648,394,860,
493,580,530,963,143,633,756,891,947,267,181,811,111,879,723,906,836,096,562,
689,855,459,769,373,853,518,482,528,742,208,033,440,205,929,020,904,984,459,
897,530,243,430,087,287,019,125,506,551,799,680,409,422,771,628,350,579,476,
224,331,340,609,758,629,026,220,024,341,894,945,097,295,146,115,243,286,256,
571,109,617,589,120,667,222,121,386,143,352,868,901,459,380,564,561,192,651,
570,095,523,430,979,288,177,628,982,239,930,307,362,275,680,058,560,791,584,
372,578,145,493,395,797,825,760,217,104,015,074,279,961,793,956,191,061,154,
780,048,772,415,607,036,917,245,701,040,471,760,697,695,013,051,581,024,779,
395,093,598,645,342,230,417,163,948,836,817,666,472,195,483,750,029,943,026,
162,833,959,661,889,055,211,187,853,261,929,028,205,472,625,581,133,121,312,
736,216,241,536,701,052,711,789,763,068,301,509,232,299,308,638,922,829,928,
930,881,303,484,536,762,631,071,107,495,275,594,818,025,273,071,298,703,038,
631,427,689,211,954,286,914,412,968,696,828,525,333,836,177,907,212,916,834,
477,840,517,785,946,964,926,731,670,984,887,459,385,890,732,729,083,274,145,
798,208,206,278,408,133,564,661,533,439,596,867,328,859,375,223,552,080,524,
403,782,053,466,150,527,482,480,748,023,406,958,063,479,008,442,918,920,947,
711,841,168,105,727,176,433,111,373,576,575,165,344,660,538,646,113,471,396,
671,252,834,116,774,926,733,349,801,884,518,288,933,878,317,636,356,284,470,
467,543,555,946,660,201,897,010,581,233,011,898,678,078,040,786,985,063,223,
488,211,562,831,075,208,039,185,382,195,599,429,684,796,836,932,056,637,302,
816,348,399,785,209,581,042,277,662,172,603,283,691,111,467,635,155,207,192,
933,087,729,985,671,331,102,247,040,165,760,574,690,819,460,971,394,527,869,
785,396,952,934,597,533,993,802,606,600,318,989,481,883,921,430,086,755,439,
314,947,905,749,077,685,128,501,891,188,850,883,905,421,964,827,121,729,270,
117,935,094,958,055,550,066,016,757,384,915,044,889,648,173,606,584,234,019,
296,353,970,683,078,238,513,266,762,817,822,214,485,291,291,319,594,061,471,
783,103,866,629,241,299,233,129,546,895,908,371,227,669,477,316,006,843,513,
600,759,889,215,540,299,651,681,238,040,984,807,301,814,285,806,292,045,431,
080,666,797,271,077,184,062,823,822,701,146,486,691,599,936,178,340,842,746,
337,241,328,594,689,552,719,276,145,419,059,749,998,321,634,894,993,261,418,
813,978,471,162,672,877,826,133,964,548,267,259,889,781,934,784,260,683,185,
975,485,697,374,740,519,252,107,869,700,764,075,544,981,074,807,035,955,385,
831,797,864,925,815,587,003,853,356,425,987,303,625,709,974,125,262,219,093,
862,846,306,770,690,238,474,988,877,490,801,936,621,888,108,590,186,611,520,
408,049,375,637,217,772,840,138,007,040,170,412,123,662,140,782,882,664,637,
759,520,011,838,988,929,174,446,574,699,197,699,884,075,653,345,497,660,943,
357,305,887,607,412,792,990,364,238,325,590,929,440,388,142,515,234,751,675,
660,640,425,657,280,166,332,775,486,795,676,759,086,504,932,298,536,786,809,
620,990,568,261,002,550,347,370,602,082,585,688,974,445,132,066,983,530,547,
090,677,874,622,180,728,537,813,468,609,017,660,299,501,866,865,818,734,168,
229,748,499,469,901,937,284,730,860,165,910,859,635,582,416,964,064,504,546,
234,228,386,737,751,460,152,054,890,435,240,667,709,639,374,558,060,456,061,
516,586,831,528,350,198,098,309,818,706,376,683,209,453,212,911,697,037,221,
893,555,866,720,961,097,754,991,997,098,292,811,216,590,830,703,153,796,960,
318,843,608,535,834,198,212,782,892,929,231,904,113,066,072,230,673,408,981,
120,681,247,346,354,992,591,858,597,229,704,446,916,238,821,695,321,597,335,
824,708,024,191,536,404,588,368,458,755,322,244,188,803,718,531,133,262,575,
516,101,813,525,656,108,763,981,680,707,704,535,201,285,960,847,342,720,216,
094,411,482,726,988,677,108,764,974,056,800,224,048,205,852,654,605,758,789,
380,827,827,694,173,066,996,416,300,271,362,559,070,574,141,054,215,364,695,
373,007,938,574,606,894,878,715,501,259,713,789,872,048,865,670,789,888,682,
508,226,126,606,781,459,802,937,823,630,820,999,310,541,657,722,232,131,422,
535,012,253,194,096,157,021,999,594,659,056,213,352,143,708,921,332,931,308,
230,159,195,487,579,219,089,797,985,467,470,462,042,856,847,197,835,214,563,
243,495,325,227,048,612,025,012,279,133,661,330,563,791,635,086,033,634,057,
692,589,260,566,763,338,759,260,657,004,081,007,897,694,560,222,376,343,832,
462,631,068,866,174,897,618,856,197,066,156,526,829,011,789,339,725,325,052,
268,135,909,040,899,245,390,071,891,426,167,851,774,077,013,727,320,318,798,
758,105,416,518,307,529,516,720,989,672,750,313,693,019,734,753,565,833,660,
691,532,369,894,434,389,440,251,128,845,768,954,455,644,753,614,599,351,216,
260,273,819,008,658,984,000,135,158,587,250,204,057,624,201,386,101,123,113,
690,866,209,014,336,682,033,240,294,267,848,669,578,427,041,113,980,427,247,
128,200,174,204,707,259,969,362,713,204,800,918,812,996,419,054,024,096,824,
228,241,052,745,079,010,578,142,669,993,491,282,414,691,443,988,047,988,368,
789,509,521,866,556,664,654,642,904,036,893,639,029,543,603,292,030,189,758,
918,310,668,691,579,624,609,308,201,387,985,895,894,983,734,072,942,356,093,
737,615,523,456,871,384,756,732,652,622,984,822,048,580,746,942,979,468,224,
272,909,825,626,995,785,902,941,992,598,180,006,369,864,121,346,947,871,754,
458,121,640,028,362,512,755,462,786,582,899,517,729,700,768,287,610,148,586,
907,637,339,869,895,946,555,110,871,435,333,984,861,094,055,548,936,475,834,
883,501,721,981,855,403,048,694,988,504,526,660,174,128,941,313,233,528,079,
331,224,924,950,193,573,498,487,308,683,356,729,507,089,725,235,256,222,228,
610,100,214,824,314,578,182,810,374,611,826,442,236,207,332,236,768,242,391,
116,598,209,209,932,318,257,312,767,217,571,326,070,896,090,934,998,608,298,
988,508,606,629,099,573,616,246,128,296,533,530,293,067,447,187,117,863,845,
634,937,829,007,191,068,511,094,842,318,758,044,568,954,417,867,442,367,153,
137,673,704,189,686,233,403,176,047,604,312,338,746,461,900,737,987,249,340,
038,803,124,583,007,618,735,256,519,241,878,713,864,361,817,857,279,345,505,
915,148,741,025,635,859,200,302,098,285,746,478,888,897,713,089,918,683,741,
496,520,148,113,835,156,786,599,018,868,839,607,167,130,033,754,062,454,601,
511,444,575,500,585,558,013,158,032,818,984,758,502,029,827,102,957,206,027,
742,818,793,484,912,484,071,713,577,067,345,205,409,481,964,000,459,237,082,
855,707,353,798,999,305,062,997,399,771,616,034,983,816,787,649,398,757,918,
704,191,623,236,439,596,943,706,538,173,356,551,433,674,973,724,728,762,659,
340,451,095,877,860,218,954,387,284,754,085,672,581,801,121,357,409,319,100,
522,772,538,059,621,799,093,949,846,505,039,059,026,613,166,321,658,093,092,
790,496,404,219,723,203,617,301,700,253,521,908,969,798,824,817,685,355,277,
966,576,592,322,207,233,899,341,540,755,824,573,571,179,081,857,691,852,369,
943,338,974,633,057,225,908,642,674,829,191,982,527,282,644,105,565,921,259,
851,795,959,607,989,568,367,251,904,917,073,407,717,213,764,267,701,466,745,
775,187,135,820,941,151,555,428,584,856,083,413,454,741,111,838,947,442,733,
725,449,828,471,518,534,257,072,997,409,140,440,161,269,351,139,856,783,222,
215,166,817,645,234,118,856,729,917,951,828,588,478,612,044,833,833,324,346,
021,541,348,800,329,567,687,878,064,158,297,436,334,754,672,481,499,123,430,
296,873,809,078,880,358,992,010,706,379,142,933,619,290,292,115,146,189,852,
461,637,464,328,386,296,178,061,173,037,368,795,365,371,765,352,794,398,064,
502,799,922,279,314,177,347,338,556,953,226,002,232,934,427,840,746,792,213,
841,189,438,917,597,643,031,115,693,612,888,641,918,481,106,795,508,905,195,
281,677,171,819,767,032,704,584,369,908,530,095,921,755,073,813,155,662,635,
709,918,448,528,210,258,186,999,618,207,956,950,044,075,641,376,625,719,136,
201,107,988,171,013,711,307,758,054,089,935,471,207,391,683,227,099,620,003,
341,376,974,130,340,654,598,047,661,414,377,063,498,667,596,870,881,872,504,
137,171,880,432,222,516,028,377,963,922,670,600,552,731,630,368,141,197,335,
076,259,446,639,247,443,715,282,695,780,597,730,082,767,197,880,799,679,148,
801,681,928,423,780,631,895,108,920,200,995,214,525,087,702,625,357,052,217,
904,883,282,436,077,454,974,113,072,477,903,388,190,593,462,055,274,115,322,
011,910,999,669,595,433,773,238,336,890,628,657,409,850,639,734,259,931,374,
975,732,533,916,062,137,747,927,147,317,543,018,001,126,641,352,948,885,660,
940,859,002,947,365,709,858,010,711,420,416,892,274,837,146,276,407,116,780,
976,209,999,272,431,845,846,829,883,601,182,755,549,803,211,139,831,560,462,
075,544,796,710,611,824,044,091,688,573,975,176,848,904,948,730,708,957,473,
391,358,015,284,885,016,126,246,716,884,155,907,933,033,285,030,252,455,171,
783,809,284,755,632,867,347,766,566,160,833,017,738,290,310,967,646,338,872,
139,470,845,460,746,575,187,230,448,988,924,131,115,809,677,821,215,454,044,
269,663,503,183,727,726,776,833,699,753,583,736,677,220,920,149,293,958,695,
049,405,834,371,124,724,077,864,502,425,043,908,551,857,464,982,825,328,554,
065,227,907,062,219,608,021,310,512,810,763,178,565,093,195,712,578,147,374,
349,686,804,816,559,152,900,910,755,878,137,831,288,430,247,479,388,185,674,
694,166,731,200,094,701,395,600,708,496,343,423,941,306,074,119,358,524,684,
434,230,158,018,135,433,852,347,157,635,463,177,432,409,985,441,542,915,812,
504,698,372,724,223,703,732,362,799,080,640,946,631,406,153,348,881,755,047,
925,070,477,887,651,838,599,250,775,204,946,638,732,760,552,318,093,965,862,
380,158,251,643,133,868,679,534,839,913,768,877,929,522,251,471,825,590,109,
605,663,506,001,267,153,861,803,866,061,236,204,456,352,860,757,711,417,123,
400,600,810,553,231,962,619,300,530,809,447,890,144,201,085,912,959,728,566,
978,215,736,773,109,671,212,755,147,038,888,532,437,725,970,948,666,505,565,
990,146,676,141,020,171,185,069,580,223,127,823,250,066,298,815,755,184,258,
841,413,463,560,290,014,601,254,351,031,823,068,968,475,591,296,265,703,259,
717,451,780,626,781,972,457,152,414,534,095,255,538,778,483,117,370,133,755,
715,985,412,006,775,530,020,991,042,211,461,608,896,265,484,275,031,330,725,
168,021,633,685,548,448,985,630,781,417,547,044,965,019,493,071,183,756,356,
303,505,916,093,984,829,197,162,440,562,097,542,581,412,667,334,143,475,458,
413,609,048,717,031,025,110,742,709,327,572,139,731,984,088,540,232,897,371,
211,082,910,723,931,650,271,735,844,741,797,100,666,784,183,005,940,685,904,
798,925,119,032,792,933,291,126,253,680,367,435,898,535,420,425,556,745,588,
473,844,884,862,850,976,570,492,703,608,817,009,387,900,959,497,264,263,268,
047,322,299,337,595,742,458,348,021,688,311,988,102,488,611,307,464,150,141,
988,396,254,735,089,763,106,662,766,743,327,436,954,125,575,783,643,079,812,
217,303,690,153,962,477,720,624,535,417,739,757,456,604,887,874,457,395,176,
245,659,695,393,781,095,840,099,802,867,622,741,019,083,152,769,384,909,390,
540,004,805,269,302,507,729,440,832,851,169,751,641,069,300,776,009,422,394,
988,267,515,658,248,053,839,464,030,641,994,636,504,823,041,498,340,862,167,
362,638,987,295,072,042,670,019,103,251,421,982,440,751,993,246,937,601,669,
560,316,950,005,436,732,211,404,293,775,059,823,326,892,916,500,389,697,216,
279,854,094,431,647,305,387,427,713,770,665,180,144,069,787,648,325,633,357,
290,340,420,668,034,688,427,846,793,403,847,850,992,477,874,747,951,390,586,
743,062,258,840,561,983,150,842,266,246,518,221,508,237,613,025,309,800,174,
878,928,767,840,044,839,410,122,786,660,752,318,363,418,836,057,497,026,540,
563,004,162,725,871,875,072,465,905,476,147,793,566,008,007,634,252,311,301,
854,747,367,522,551,116,790,892,055,717,684,318,698,341,667,941,464,721,110,
453,633,378,129,670,481,463,168,269,489,661,146,291,115,219,574,586,961,778,
869,364,060,919,834,449,608,655,453,416,204,658,470,848,246,469,829,521,277,
737,913,945,762,043,679,337,347,181,154,103,240,021,115,861,899,450,580,633,
598,745,286,267,644,162,013,352,035,597,548,384,236,251,018,501,724,633,396,
520,264,216,841,674,690,818,370,308,583,312,986,575,063,645,064,484,309,546,
453,827,525,668,402,255,568,939,419,545,832,424,653,298,938,552,158,318,178,
882,886,054,060,402,634,464,414,957,158,395,717,884,857,847,021,270,535,788,
345,111,658,152,158,909,242,499,534,155,034,499,734,719,473,308,953,797,485,
721,031,214,395,182,492,514,387,956,451,543,926,669,064,342,945,852,752,866,
356,091,539,362,537,262,394,391,228,824,288,946,216,854,776,655,238,412,942,
180,167,493,559,233,308,032,030,095,372,299,547,475,613,889,821,639,173,892,
401,910,081,529,219,606,312,563,891,999,952,344,773,351,436,187,549,115,906,
723,158,303,148,294,300,371,209,283,555,674,184,580,425,173,531,706,215,084,
928,706,277,318,666,294,300,503,618,444,837,654,591,233,755,930,146,361,235,
001,006,675,657,331,062,694,413,111,350,671,132,488,144,691,511,870,408,977,
541,480,815,753,013,402,114,122,423,065,801,007,652,790,612,161,386,222,512,
600,891,991,553,449,604,330,159,610,120,504,788,246,635,026,578,966,443,236,
263,252,388,670,882,789,908,369,434,109,051,049,016,717,109,755,280,205,372,
211,994,140,729,976,329,350,465,371,230,134,012,690,353,463,240,681,179,665,
679,664,976,485,332,951,396,403,482,112,426,341,126,188,958,867,959,403,448,
097,485,489,924,430,260,057,426,870,163,841,614,373,205,530,976,770,935,434,
916,545,674,091,555,271,100,269,600,494,300,908,410,697,881,489,976,169,676,
776,181,022,818,524,419,203,034,663,500,359,460,396,812,998,187,037,480,057,
790,044,013,541,633,112,826,679,567,098,823,470,001,478,926,527,085,955,508,
009,716,431,110,436,825,130,488,739,279,782,822,990,673,208,386,907,608,157,
239,602,497,493,635,540,209,979,466,492,256,711,376,525,937,635,818,180,964,
352,551,060,455,737,990,955,522,096,470,589,529,307,749,163,697,147,799,574,
417,696,213,582,845,667,322,149,496,343,608,719,798,997,013,996,206,080,857,
350,691,162,971,517,915,535,069,529,866,292,204,741,272,714,544,663,681,343,
183,474,910,052,232,280,095,522,578,121,965,785,070,270,514,134,227,980,232,
389,173,001,840,202,253,586,255,716,028,661,376,022,508,218,322,849,812,194,
226,272,473,730,701,227,011,217,776,547,787,314,030,104,683,248,646,642,984,
097,881,238,516,859,106,035,826,328,332,096,802,108,266,885,531,147,252,441,
055,725,525,189,286,901,246,279,344,893,219,323,131,035,048,549,083,884,548,
955,739,812,138,336,650,210,222,798,495,243,233,184,924,899,033,030,145,315,
737,772,479,217,826,740,768,953,066,049,358,705,373,808,213,143,425,566,856,
552,672,389,399,958,336,613,631,798,501,105,883,535,664,635,405,927,690,402,
381,984,534,226,185,804,564,375,965,070,834,466,358,066,934,684,195,392,153,
262,569,976,948,399,883,602,233,060,148,881,996,519,844,430,300,352,470,750,
449,760,921,761,231,080,442,639,498,581,059,138,023,981,709,794,968,815,724,
570,127,024,660,441,018,078,589,665,923,522,548,944,816,799,445,468,782,637,
278,949,766,095,444,725,503,636,064,817,075,190,010,239,548,822,140,106,866,
168,929,057,560,683,480,693,342,927,892,184,535,706,375,711,666,653,098,673,
401,197,335,660,755,919,554,370,663,238,995,239,094,138,973,245,793,526,739,
668,121,159,340,378,948,346,270,875,289,995,821,820,812,475,936,983,140,244,
063,202,744,413,334,999,081,300,232,840,794,340,345,790,528,709,548,882,138,
806,602,799,888,482,507,640,957,065,403,240,156,968,705,269,945,698,185,315,
336,024,135,246,457,790,456,667,215,590,347,860,748,999,537,726,805,612,528,
823,479,552,538,009,142,374,825,495,569,189,364,369,944,952,767,961,362,957,
311,248,455,860,673,785,847,414,002,706,042,634,571,279,853,396,943,979,125,
517,230,383,838,047,727,814,312,381,904,763,983,826,156,343,546,549,054,425,
208,312,106,500,997,518,410,500,458,776,764,634,370,395,611,014,140,654,919,
111,410,309,559,631,211,389,580,276,465,310,217,692,241,055,893,475,841,756,
127,295,902,484,839,956,060,933,452,353,638,108,996,595,511,535,333,662,905,
396,845,118,081,126,778,948,701,902,071,890,866,892,748,123,759,227,521,698,
264,420,542,427,911,718,349,554,555,995,943,290,455,857,887,126,278,788,907,
241,308,370,844,346,728,778,203,716,666,148,341,525,475,907,908,238,901,160,
390,526,412,613,425,307,222,573,443,893,324,448,587,652,884,180,569,926,556,
831,411,017,328,354,007,294,407,045,440,017,872,801,355,501,342,890,682,880,
289,444,393,272,374,685,738,964,796,997,702,882,614,810,704,581,234,842,821,
902,858,824,089,892,842,528,991,288,318,637,647,678,859,557,445,685,890,975,
771,654,801,768,973,815,866,367,373,663,563,830,262,066,399,807,005,371,193,
296,327,720,800,193,598,589,896,340,353,671,936,095,354,820,793,892,645,816,
195,530,568,886,097,049,406,440,094,490,946,132,699,294,302,110,423,412,593,
242,323,899,186,924,444,615,726,521,060,315,015,963,569,107,266,311,116,772,
229,728,683,613,229,210,204,943,068,605,715,829,332,272,547,198,916,109,959,
518,067,787,121,778,881,626,570,426,177,679,249,323,842,025,030,933,683,211,
315,039,735,639,716,683,873,424,217,420,518,908,531,429,529,089,653,645,777,
972,207,641,188,191,392,643,277,687,738,736,657,568,152,537,510,513,748,238,
288,364,649,497,043,959,632,908,133,660,325,787,676,664,348,955,959,478,539,
359,862,536,109,828,974,490,564,378,081,790,730,033,004,795,179,422,176,158,
813,539,089,489,107,037,458,570,541,612,271,612,958,350,032,292,122,705,472,
112,556,306,815,821,227,121,035,989,356,644,707,749,982,188,462,555,612,684,
891,753,359,517,574,134,243,624,482,598,402,718,966,374,277,448,416,690,893,
265,212,867,834,164,278,058,115,542,327,854,155,403,161,150,918,429,874,336,
272,550,611,355,414,322,869,287,085,883,306,498,876,620,168,397,484,268,902,
344,496,445,986,347,680,173,580,785,988,725,498,250,644,095,960,951,465,928,
689,365,634,340,258,786,322,937,247,834,430,752,725,175,854,533,569,417,343,
667,654,338,409,425,214,705,442,649,128,001,252,050,826,683,733,440,216,334,
611,694,267,725,239,488,705,882,467,302,327,814,429,815,899,959,152,688,916,
801,994,422,378,985,192,340,471,232,680,127,938,461,696,732,621,903,815,097,
601,220,781,033,411,498,361,783,362,761,853,153,512,587,822,489,277,897,104,
514,174,875,211,889,014,350,697,684,747,671,466,608,460,704,754,033,239,270,
756,953,637,368,328,114,513,032,625,801,574,556,717,650,656,527,284,563,713,
861,047,344,443,894,215,357,209,974,676,224,235,782,752,676,778,431,964,547,
262,141,506,874,234,211,854,573,779,336,598,612,144,635,319,525,983,737,371,
995,778,122,443,005,414,866,104,015,116,786,012,680,429,014,122,494,317,795,
666,702,723,588,518,632,198,078,400,270,208,823,496,965,335,168,525,759,067,
990,271,960,984,018,194,555,482,493,316,412,373,901,112,805,464,067,395,427,
405,405,628,698,333,682,716,559,938,533,127,444,950,196,029,508,527,035,504,
488,621,961,802,064,292,370,896,611,198,379,067,012,844,956,310,499,485,274,
459,827,819,281,064,532,238,816,723,604,974,094,984,150,076,291,431,601,473,
271,445,667,619,402,248,364,883,807,555,490,686,998,004,131,527,837,903,283,
165,971,557,117,378,945,754,507,574,041,856,084,269,627,470,517,959,293,004,
222,054,190,352,446,844,819,729,668,738,792,046,915,846,838,078,349,732,025,
363,494,604,647,564,077,106,540,398,023,426,964,601,073,040,001,525,926,940,
708,741,083,762,258,163,447,828,543,276,022,868,245,743,935,470,647,152,479,
558,163,553,056,765,146,500,624,091,732,734,169,767,158,309,810,937,438,887,
825,554,468,993,539,304,817,395,051,604,165,558,989,679,512,275,140,023,131,
413,034,912,314,373,389,291,398,990,700,209,665,583,612,708,920,654,620,752,
804,290,444,253,601,077,485,894,424,669,571,876,844,931,005,722,538,544,410,
840,311,481,260,363,291,484,604,978,456,884,634,198,069,391,214,046,171,324,
235,627,645,352,869,747,850,889,998,619,005,769,458,872,150,883,305,616,024,
249,014,078,979,316,531,193,650,377,941,830,635,129,472,061,282,014,863,979,
537,403,043,242,857,509,525,447,438,945,081,746,685,721,233,312,842,554,712,
052,642,456,857,796,918,264,009,301,650,076,436,384,382,166,041,080,737,527,
550,780,230,553,507,888,756,197,067,910,010,370,610,621,826,323,692,966,999,
424,424,337,450,720,285,893,523,443,051,883,187,236,905,713,887,280,854,680,
973,010,238,146,061,051,576,694,249,817,069,790,475,980,086,854,240,305,490,
991,231,734,286,769,994,423,934,206,702,415,038,870,692,237,047,500,843,895,
690,846,010,828,774,328,204,464,209,265,178,497,831,944,950,851,863,061,186,
864,266,035,189,985,182,404,657,705,362,422,696,852,670,417,489,710,286,967,
893,740,503,970,911,373,620,742,460,099,674,635,522,906,669,490,929,581,850,
929,955,320,748,098,816,858,715,990,820,179,660,654,904,067,177,416,119,433,
705,289,755,995,614,502,664,520,081,727,354,942,219,829,610,048,248,192,821,
052,573,251,873,017,424,649,279,701,599,766,780,037,387,691,722,386,240,594,
193,709,642,662,990,230,763,111,835,592,203,681,783,278,275,387,319,262,689,
353,692,774,767,254,680,866,845,622,193,557,553,864,714,866,872,255,590,019,
743,158,596,868,586,464,829,957,683,204,056,988,141,471,329,158,996,454,784,
717,773,058,095,632,526,580,620,783,209,886,396,991,758,883,484,490,743,913,
013,559,968,766,296,211,030,503,918,933,425,016,605,488,854,677,673,168,201,
769,426,294,507,374,444,627,053,750,800,735,903,684,957,385,538,808,953,457,
187,735,553,793,345,831,107,075,665,123,058,734,965,086,017,938,099,742,445,
981,594,115,176,429,848,923,132,629,218,818,445,100,698,662,341,564,050,350,
680,523,511,861,053,775,571,369,280,917,298,429,507,578,788,752,203,469,779,
587,932,001,124,643,892,737,583,011,788,545,705,549,105,981,646,436,852,601,
102,433,193,627,816,769,729,215,578,118,151,324,394,998,522,226,433,811,118,
816,049,223,139,272,657,708,367,807,969,735,466,523,878,961,363,181,007,743,
688,589,208,775,492,692,126,675,217,996,602,980,257,116,185,384,454,180,303,
395,179,937,776,256,024,074,227,307,047,174,683,765,936,498,116,678,075,001,
917,846,947,936,568,557,011,643,793,487,865,878,604,128,748,544,271,455,705,
750,045,793,597,511,060,277,221,944,794,024,798,679,290,574,506,351,369,907,
014,470,589,797,329,600,828,298,857,013,986,845,768,462,655,219,475,307,623,
699,176,076,643,619,526,977,344,802,578,098,675,837,030,189,803,657,709,452,
060,197,144,997,416,685,016,003,830,149,855,456,827,883,330,616,081,733,278,
878,797,273,428,922,669,746,799,683,557,083,397,023,592,203,125,701,055,401,
430,292,494,447,581,550,583,070,801,200,052,898,119,827,024,202,157,497,370,
984,145,107,992,295,963,958,642,487,197,768,298,607,457,302,007,672,322,104,
690,111,747,738,070,012,636,665,427,047,463,791,844,094,347,568,441,280,074,
911,755,365,448,345,764,881,932,269,438,844,695,168,068,944,142,342,819,909,
750,045,022,913,135,154,973,676,461,553,098,910,087,302,225,766,308,945,165,
113,077,365,600,655,877,590,754,757,825,555,054,370,830,588,264,097,848,906,
163,178,824,489,642,211,624,250,331,273,120,110,720,299,034,913,694,059,877,
625,398,918,536,421,965,301,216,360,099,835,334,874,808,042,543,649,210,901,
262,448,232,839,864,246,642,682,274,444,874,360,492,941,260,249,804,556,344,
897,860,617,750,828,871,406,989,641,983,991,540,622,983,309,984,642,092,943,
814,281,160,994,296,088,335,272,620,537,163,070,317,932,880,742,291,017,850,
184,692,875,843,856,084,762,631,594,958,071,934,504,066,922,138,990,087,111,
204,101,144,691,161,811,183,104,178,572,288,764,745,900,611,791,461,887,004,
864,806,396,267,424,430,481,518,129,580,551,142,401,325,042,855,865,016,554,
079,611,135,731,098,801,787,820,858,643,118,497,739,470,701,816,725,324,803,
358,461,893,223,054,859,379,702,060,473,831,517,316,319,308,388,123,370,136,
215,629,448,969,289,018,741,636,960,124,394,147,904,982,383,551,647,567,640,
966,679,681,160,380,954,296,933,429,969,663,026,884,702,881,381,650,762,608,
195,411,137,393,022,253,029,353,135,086,662,927,226,232,873,344,973,869,742,
212,608,622,471,542,301,453,122,304,267,671,380,752,228,977,566,896,314,366,
288,553,627,413,232,857,945,368,556,798,846,817,333,177,603,865,001,995,632,
941,951,164,452,832,934,873,681,078,457,242,240,695,856,418,243,568,837,618,
539,196,115,624,933,164,414,799,261,510,663,552,692,392,665,699,646,202,413,
636,880,327,009,898,229,871,013,626,118,151,579,285,812,730,265,704,372,547,
641,985,286,729,483,780,867,484,624,335,510,233,599,769,758,955,908,682,707,
232,709,266,777,540,032,125,809,069,176,165,079,595,580,624,198,242,129,898,
608,823,659,036,722,497,340,875,954,213,096,584,656,238,109,234,126,810,864,
538,469,479,573,414,045,976,394,229,671,386,344,299,396,230,718,482,227,326,
871,596,944,954,260,648,968,165,774,123,243,706,904,285,018,681,354,910,167,
067,003,777,536,132,505,531,351,124,777,092,216,504,977,958,510,936,758,882,
309,345,842,714,664,435,227,268,654,063,356,865,036,091,000,612,560,621,731,
845,015,773,914,450,807,635,235,411,715,006,027,947,748,744,465,435,053,293,
035,266,078,671,209,682,052,462,255,491,532,611,318,535,264,587,835,875,284,
723,378,568,027,667,336,637,211,825,220,821,262,548,526,410,300,864,232,381,
246,341,135,460,191,246,193,160,807,782,220,338,716,005,133,719,315,323,572,
540,427,832,211,798,251,831,531,256,330,154,853,904,721,479,846,052,646,328,
932,040,911,335,377,034,381,161,151,262,116,231,818,583,122,700,750,850,562,
988,975,743,362,390,417,135,241,859,476,586,166,287,561,678,081,238,423,170,
629,638,865,413,674,788,142,570,271,831,790,680,740,889,146,493,098,741,606,
347,551,993,077,235,300,917,917,861,606,646,225,626,734,500,112,402,374,514,
655,266,802,904,852,853,632,166,384,743,581,488,306,343,734,318,361,993,797,
558,497,810,162,049,963,242,341,897,003,750,214,933,162,697,364,133,076,711,
888,479,894,192,833,126,412,289,114,501,084,922,362,510,840,443,211,766,421,
136,053,024,321,949,420,231,123,338,075,591,883,359,831,749,438,531,926,067,
747,527,747,900,241,993,223,156,806,136,211,309,184,864,108,397,486,215,384,
832,271,761,240,382,693,977,005,560,140,518,107,831,149,080,018,848,608,543,
762,228,506,080,596,495,944,299,432,835,314,091,357,399,544,430,520,485,986,
845,306,861,018,106,817,317,134,857,147,187,207,313,344,578,135,653,040,393,
656,905,018,963,921,074,491,776,473,531,386,860,106,323,574,632,745,114,754,
687,929,227,950,059,921,060,033,557,272,753,681,389,422,926,414,435,838,774,
095,337,896,595,907,500,477,722,635,812,804,181,230,620,553,204,124,493,964,
767,344,873,584,765,818,826,176,683,160,939,436,064,651,901,986,044,121,138,
700,571,818,480,019,657,358,114,371,430,956,930,936,965,305,558,395,817,524,
545,711,261,450,405,347,482,771,875,422,351,996,045,997,978,229,514,771,384,
333,348,356,694,951,157,503,673,913,080,603,401,407,582,987,729,427,269,882,
056,494,444,344,115,625,635,477,816,208,679,315,386,125,484,366,214,204,354,
641,947,685,892,867,729,292,812,770,477,448,414,609,590,593,193,528,878,132,
400,144,382,570,093,680,960,802,226,169,107,200,311,694,293,708,263,986,591,
742,571,942,627,280,586,979,950,055,709,855,748,499,948,614,779,393,254,658,
183,936,256,039,851,915,566,179,386,448,306,941,332,264,597,918,258,483,789,
120,703,997,059,742,102,912,223,460,549,706,803,069,538,529,348,248,805,235,
672,050,235,080,991,229,721,451,358,526,764,380,791,408,251,622,549,580,736,
504,683,571,173,859,347,832,132,656,906,996,694,141,990,552,717,178,752,583,
661,679,507,152,782,438,662,787,538,938,544,715,290,506,552,050,069,143,148,
717,292,819,538,605,517,738,240,190,776,094,819,141,514,846,406,722,666,558,
792,715,807,590,043,990,214,160,202,066,722,533,950,425,086,586,988,832,782,
248,582,364,101,915,677,220,672,072,380,692,220,537,020,841,296,426,887,375,
944,798,091,704,851,632,534,337,229,267,675,008,964,442,899,115,789,704,087,
022,784,811,935,034,217,387,326,802,889,102,339,682,761,227,209,721,913,527,
008,612,960,370,998,951,783,362,025,410,269,813,482,727,544,073,896,691,114,
684,996,011,598,816,397,901,824,572,728,212,279,957,864,296,391,775,115,939,
607,820,452,575,066,707,840,677,522,973,942,439,019,762,924,764,308,270,056,
072,169,508,502,546,642,566,053,849,589,332,984,175,311,328,029,981,121,556,
380,629,261,188,895,488,910,312,074,359,596,317,957,604,802,890,239,770,411,
958,991,992,757,536,136,516,536,114,824,794,214,185,881,396,199,052,251,405,
366,705,891,072,857,644,671,772,441,425,135,018,060,433,302,033,236,877,046,
493,338,976,553,177,388,071,615,219,569,582,978,911,741,169,860,330,476,790,
950,161,887,462,289,422,891,822,474,614,164,093,263,069,409,026,235,777,557,
751,553,087,398,520,623,992,823,815,984,582,543,360,906,184,574,687,612,631,
306,574,416,277,395,032,046,789,791,150,051,725,718,077,155,906,778,851,117,
926,286,565,169,340,648,953,410,381,108,792,681,951,495,560,102,688,263,289,
954,984,743,899,364,617,227,484,235,456,730,198,780,003,781,728,089,348,156,
001,478,110,547,965,556,971,563,880,525,042,083,420,997,831,939,664,228,753,
701,460,481,921,937,062,244,540,480,046,646,580,414,230,715,000,944,446,958,
420,674,456,432,537,531,064,311,547,259,898,245,513,250,576,960,960,570,874,
893,008,150,893,700,394,499,430,449,708,585,935,081,821,593,790,690,625,303,
552,987,496,580,958,288,526,027,243,216,434,658,560,374,647,355,671,287,765,
681,604,949,850,223,048,046,212,316,036,212,342,802,994,288,042,700,363,895,
787,654,975,652,658,167,043,721,275,989,517,339,571,216,243,270,610,633,891,
068,722,795,220,203,035,760,545,528,337,502,943,008,354,332,826,079,607,273,
007,462,368,927,243,098,224,142,906,687,309,173,181,122,535,531,436,813,023,
942,046,357,997,737,806,536,594,400,935,586,338,100,181,369,774,813,502,074,
246,549,943,477,327,856,595,339,605,121,347,400,553,445,938,604,490,802,055,
089,632,071,746,835,527,037,512,174,499,833,206,108,075,096,830,441,253,968,
441,584,914,555,191,367,225,676,803,757,606,627,457,734,660,435,537,088,578,
717,600,123,216,234,434,001,463,045,413,481,798,266,302,768,238,223,234,548,
014,296,876,804,765,867,376,209,203,968,879,223,960,153,873,126,881,254,610,
565,342,763,233,033,925,092,719,211,414,955,373,296,538,980,933,435,410,392,
582,447,871,048,161,631,769,160,941,047,211,658,209,980,363,686,590,644,043,
638,263,556,139,715,916,958,513,958,220,707,526,920,590,670,006,556,759,419,
043,082,636,904,890,172,872,075,986,624,487,730,682,397,976,967,898,391,307,
073,216,747,066,752,466,905,868,144,894,544,781,325,905,162,708,314,918,849,
880,789,359,341,207,517,895,673,063,355,995,952,652,984,730,193,333,041,024,
496,390,037,698,021,265,760,970,394,889,388,367,542,356,328,733,433,790,181,
259,344,765,043,242,226,830,976,322,064,058,388,670,906,568,642,159,227,200,
677,713,751,766,503,341,888,106,403,742,006,939,716,132,602,262,851,595,694,
240,304,092,292,194,159,837,589,875,589,689,374,509,813,906,203,383,436,766,
497,888,714,598,041,338,933,019,370,218,163,934,195,975,062,912,908,497,102,
359,750,718,854,491,183,914,887,903,010,040,397,955,430,526,761,142,351,212,
379,081,420,253,192,179,554,599,704,615,038,616,251,505,110,098,653,383,534,
734,365,330,978,054,669,627,396,327,233,307,843,262,819,084,779,436,773,965,
103,425,059,815,433,652,645,478,515,153,496,043,195,070,193,628,702,728,353,
831,072,115,610,856,049,148,283,058,414,866,430,736,982,993,717,420,200,190,
427,652,704,042,403,619,240,610,061,194,047,694,802,892,864,527,909,700,314,
198,837,258,348,142,801,563,319,459,526,272,442,292,090,529,842,002,690,549,
191,512,970,100,998,142,012,321,216,430,129,101,965,724,192,760,351,600,330,
540,478,760,824,464,075,863,677,112,128,501,709,347,244,466,663,657,775,874,
516,579,503,959,930,751,179,783,251,834,182,580,849,923,859,983,525,777,215,
566,626,023,674,662,928,925,819,870,236,027,561,416,215,393,433,655,943,060,
355,664,700,994,814,574,334,090,294,266,167,776,153,087,437,363,716,868,361,
398,530,962,560,016,713,950,262,587,872,616,806,632,159,578,667,571,569,756,
806,623,967,687,954,748,416,920,402,439,030,563,554,150,856,269,985,812,707,
585,421,003,391,938,838,934,396,624,536,492,999,939,889,297,001,871,370,493,
462,290,653,926,519,251,070,183,268,804,666,700,756,294,394,139,832,393,284,
324,977,884,573,442,270,103,433,806,580,699,404,226,208,737,721,984,587,170,
156,386,852,614,086,080,185,598,623,458,543,854,829,778,875,521,483,662,447,
720,860,837,457,124,714,640,341,622,862,593,330,194,636,050,574,282,744,550,
175,380,924,786,284,070,156,823,946,832,572,661,635,723,135,142,635,898,435,
749,446,475,531,755,224,487,729,701,130,232,341,142,859,588,794,420,229,216,
571,067,796,397,401,995,600,479,366,429,771,696,776,446,245,646,280,543,359,
311,805,624,223,213,720,959,168,835,402,655,013,041,598,490,253,080,846,502,
693,470,081,716,516,005,022,325,758,243,290,168,729,809,294,763,820,334,332,
007,302,980,257,642,214,381,794,662,733,766,489,885,512,161,147,160,709,575,
557,983,155,685,701,027,487,036,582,364,843,147,958,153,404,960,053,018,174,
654,555,169,068,953,038,209,257,249,778,439,529,126,081,914,686,857,932,611,
369,714,751,054,417,059,410,657,246,199,439,851,252,669,104,914,477,605,941,
906,798,649,814,906,582,804,625,715,315,098,616,585,313,418,202,677,281,762,
317,805,298,768,798,640,276,531,821,738,795,016,209,587,265,238,734,011,651,
973,527,734,804,711,415,441,315,524,951,957,823,360,556,970,280,374,130,843,
074,806,843,584,632,302,230,936,016,333,169,352,571,219,139,653,212,262,015,
495,546,287,175,842,322,765,234,339,306,408,544,104,932,453,509,227,983,896,
551,280,464,731,230,771,282,893,487,048,113,117,391,291,730,838,087,526,004,
912,999,440,201,245,155,127,038,802,443,224,547,851,785,843,372,934,759,259,
051,389,885,838,088,377,056,378,322,486,190,114,048,593,546,705,364,115,062,
588,007,817,233,371,032,979,452,274,451,261,437,761,538,675,865,243,415,643,
521,499,670,940,154,391,923,805,037,325,713,386,422,377,982,262,138,833,784,
177,300,822,875,235,348,722,661,351,202,441,592,733,518,567,513,131,953,051,
712,371,810,894,906,870,733,797,279,980,860,038,894,752,006,174,300,238,315,
545,797,088,010,363,026,799,717,408,463,686,945,802,954,521,825,128,412,411,
541,807,012,907,340,351,256,082,752,510,456,748,330,163,621,705,439,115,894,
026,797,990,306,581,745,388,489,244,053,384,932,147,819,904,717,877,176,617,
921,928,778,230,507,976,378,031,728,855,878,281,111,481,077,650,121,113,498,
956,914,145,882,749,391,422,871,848,349,480,071,330,544,685,355,952,985,285,
209,990,503,307,120,920,359,258,704,143,090,770,771,031,903,237,461,229,330,
293,371,866,601,659,298,929,285,789,153,140,796,288,807,082,134,780,837,707,
621,212,367,425,705,149,983,980,157,334,992,427,310,741,050,097,223,643,338,
100,813,727,784,140,966,540,215,006,950,138,209,418,794,108,827,452,526,555,
047,360,687,347,955,950,877,986,938,287,694,511,745,393,639,595,597,940,732,
357,968,019,684,518,976,376,707,392,778,390,612,015,997,868,856,003,269,034,
476,515,117,527,848,440,832,930,107,817,581,560,624,837,674,970,820,955,588,
671,099,506,745,548,423,659,368,085,475,098,632,509,929,118,164,402,005,997,
298,376,454,281,065,255,822,083,535,328,269,559,433,227,392,743,060,125,490,
240,478,857,708,571,161,888,332,278,568,791,590,541,656,915,989,986,934,691,
963,712,529,103,451,008,958,730,590,516,479,831,599,045,648,298,649,587,064,
474,629,089,162,417,132,578,060,978,295,811,496,844,680,133,525,010,422,882,
431,488,454,624,375,570,602,468,542,662,932,851,093,805,616,366,121,553,417,
846,447,414,557,244,530,271,299,685,648,389,546,476,123,330,966,298,325,891,
890,905,750,386,763,280,704,248,905,494,119,652,128,554,374,530,703,647,243,
373,253,346,180,718,371,291,664,998,860,945,287,427,300,964,555,866,359,921,
966,649,241,238,805,469,525,151,924,532,880,342,603,154,922,277,128,929,711,
182,307,209,248,577,526,517,750,878,900,824,283,236,241,805,438,199,856,865,
594,643,989,244,490,778,703,938,046,012,779,519,827,744,945,215,004,247,053,
560,357,525,668,796,435,942,162,369,772,625,829,797,223,458,780,601,973,168,
644,038,706,541,817,072,784,820,104,054,093,734,146,860,971,240,234,566,022,
741,469,995,416,817,215,556,062,202,181,752,719,955,097,580,307,728,710,885,
049,621,898,281,589,751,888,531,925,953,312,731,889,048,040,645,307,442,612,
420,346,667,216,916,952,280,393,125,393,452,744,244,555,945,065,695,680,303,
765,394,394,973,265,538,486,042,398,681,034,510,949,441,372,509,308,004,248,
303,305,393,919,929,372,992,387,375,868,923,674,855,679,436,877,140,375,971,
368,912,958,512,223,302,939,053,709,242,458,077,166,489,008,149,847,030,710,
863,597,411,411,791,817,954,656,408,889,887,908,942,969,764,763,113,231,953,
104,850,284,430,858,024,997,221,278,510,147,786,872,883,348,916,712,632,104,
355,477,297,121,080,062,437,361,083,279,476,934,494,703,083,990,852,192,206,
044,143,385,422,016,516,464,839,647,971,556,987,035,075,374,961,820,906,989,
268,399,400,522,114,441,735,683,320,563,648,921,721,375,661,417,070,316,207,
338,620,047,550,409,100,495,697,866,300,125,476,384,943,782,075,085,123,227,
920,418,686,982,825,510,212,055,868,837,128,833,055,884,810,259,592,607,839,
426,562,442,685,492,454,123,175,076,044,598,948,003,687,151,636,580,699,754,
949,834,607,547,039,835,882,812,813,378,361,637,061,261,204,099,085,872,341,
424,338,435,033,600,865,749,079,868,747,435,972,810,079,997,777,728,153,009,
931,017,869,424,352,769,654,218,101,241,366,669,103,606,745,496,015,745,719,
217,175,651,757,212,089,114,015,301,412,539,153,143,975,276,230,330,376,272,
192,368,598,684,344,015,733,010,182,842,471,010,948,843,001,919,737,268,702,
298,417,082,980,688,712,951,019,326,613,580,674,466,380,935,676,483,421,015,
263,641,523,627,676,474,476,488,565,125,350,793,399,954,369,239,543,595,687,
126,188,764,001,241,092,383,316,469,565,775,551,507,675,012,784,204,339,973,
435,631,086,853,527,364,265,988,903,277,420,854,802,814,075,388,758,279,217,
515,537,138,825,502,135,861,963,074,279,463,057,253,031,781,181,446,985,321,
526,149,822,544,440,333,548,374,484,145,481,782,219,074,152,246,288,789,598,
289,394,233,255,709,153,456,121,491,197,080,107,612,525,036,909,350,639,713,
116,726,304,902,102,758,176,111,319,574,853,500,263,791,260,401,870,732,706,
618,650,796,013,523,246,254,314,071,913,502,406,811,262,980,979,301,945,297,
460,959,375,511,652,976,660,588,026,071,447,192,725,388,380,829,060,871,263,
902,793,111,453,408,811,995,683,678,156,848,945,677,931,634,469,754,896,823,
986,398,204,736,384,305,940,423,223,989,912,039,229,168,275,297,985,597,552,
069,909,253,133,783,621,257,263,704,796,986,939,933,598,380,577,157,390,372,
758,606,455,324,560,790,092,849,974,125,762,555,855,426,827,011,114,207,383,
561,327,134,086,660,214,746,383,456,018,225,496,360,215,800,008,071,124,401,
798,186,855,885,710,821,390,475,651,582,828,267,625,733,643,771,331,743,537,
537,478,353,426,168,327,866,701,936,194,800,875,772,286,397,836,574,076,736,
553,737,638,897,868,089,045,708,298,793,353,115,434,166,121,461,113,261,544,
471,158,739,231,388,674,769,428,662,383,702,583,432,594,837,933,897,603,369,
954,660,662,884,689,117,662,333,022,430,805,517,183,835,514,965,532,149,904,
677,492,535,031,485,025,485,872,134,182,133,747,417,239,349,219,965,729,536,
279,062,296,393,730,681,632,709,318,745,476,492,652,609,075,522,340,561,234,
967,577,117,751,105,812,345,756,685,630,504,061,900,265,637,759,583,340,970,
844,114,946,893,202,315,560,956,869,368,773,182,463,598,169,262,926,450,512,
014,697,733,400,368,713,336,205,685,999,935,734,166,568,083,844,236,478,504,
628,673,502,128,044,390,993,106,520,318,368,416,109,958,735,907,070,138,826,
223,534,713,093,974,407,749,199,562,438,597,715,394,091,463,518,615,872,517,
134,320,063,066,595,004,031,932,936,794,236,170,001,449,822,254,733,798,581,
883,911,294,077,759,834,131,726,719,328,540,822,378,252,373,616,196,156,037,
337,262,831,019,832,306,549,589,184,931,878,316,274,043,523,527,498,674,894,
359,841,383,049,970,916,625,232,367,094,227,757,398,490,204,637,065,530,048,
064,590,342,782,803,608,152,410,293,992,724,269,150,264,467,494,071,265,877,
788,475,776,208,758,179,233,515,779,460,254,435,842,987,403,783,806,478,185,
530,359,644,990,695,602,345,178,995,077,301,377,703,281,272,964,378,657,513,
998,431,661,171,950,692,327,621,133,833,907,997,956,920,517,634,151,672,755,
207,534,506,898,196,029,910,087,304,082,516,167,588,028,378,442,586,742,730,
467,674,607,509,822,847,638,759,831,615,764,304,242,087,326,493,517,398,067,
231,091,051,997,439,329,065,398,095,006,106,780,661,499,901,205,163,250,656,
402,917,167,337,948,097,955,255,411,187,377,623,963,627,509,374,544,663,206,
295,468,162,661,385,791,011,877,215,858,609,328,947,428,652,916,691,212,492,
468,512,549,836,143,852,646,305,423,540,796,660,409,561,036,662,193,045,915,
641,859,730,479,251,743,007,180,020,306,977,855,131,606,440,508,276,521,253,
389,404,300,872,301,696,875,948,960,737,852,194,216,559,442,323,560,025,278,
262,099,202,301,443,220,710,693,784,891,173,973,628,959,325,978,850,452,232,
267,168,629,934,845,721,257,175,775,435,935,826,837,182,407,488,995,721,200,
091,362,425,559,863,218,967,336,744,463,041,411,659,222,325,961,033,307,278,
686,569,841,004,672,804,772,826,747,126,018,207,653,729,521,545,520,496,858,
287,599,813,123,517,758,659,018,471,889,832,109,672,151,429,943,633,972,858,
938,265,643,419,750,980,529,813,462,117,531,824,064,219,173,534,291,293,941,
115,001,559,968,415,742,888,658,309,237,295,380,132,277,837,032,470,451,886,
842,852,979,439,425,852,706,231,837,265,183,068,927,249,706,173,105,161,370,
609,433,280,095,845,689,019,558,725,572,115,456,119,103,520,214,675,063,486,
729,196,273,710,896,039,451,192,124,208,087,502,718,341,129,513,744,300,505,
057,160,500,004,425,103,463,467,514,013,272,870,086,654,663,115,444,233,810,
969,882,089,458,690,110,275,507,025,934,151,323,069,408,298,595,810,095,660,
005,444,201,246,910,339,332,718,733,553,519,196,377,468,362,030,904,154,157,
678,978,626,034,010,467,427,234,489,160,371,915,128,995,437,885,153,520,673,
281,854,592,662,093,265,056,379,028,323,812,494,046,567,849,324,797,692,721,
804,246,817,070,878,296,935,901,968,014,037,009,309,250,889,573,259,811,399,
560,102,920,179,108,631,741,850,671,131,369,154,470,816,419,196,138,976,228,
862,158,873,016,957,253,428,087,598,803,377,603,136,694,823,702,917,900,061,
759,963,892,400,892,670,953,788,721,881,558,614,363,536,954,252,487,464,881,
970,613,236,491,859,729,883,718,076,729,193,348,612,648,716,530,964,946,766,
143,673,206,472,459,923,633,211,034,440,951,024,254,258,843,825,569,539,551,
214,316,110,476,481,055,215,021,909,942,260,254,067,196,438,024,280,253,129,
561,363,777,293,838,060,346,297,635,112,025,034,173,937,401,628,421,979,244,
967,873,890,274,244,121,104,960,661,664,553,304,030,599,247,406,836,827,782,
990,935,060,569,875,173,180,998,885,411,374,640,720,354,883,649,784,306,044,
524,128,988,984,133,101,992,126,020,223,721,325,314,342,028,421,143,073,759,
605,136,432,853,361,412,435,673,160,090,377,997,809,852,932,012,011,033,192,
566,250,751,259,322,110,210,584,383,794,494,331,678,674,457,884,847,060,318,
602,943,375,490,494,078,210,766,944,769,302,281,665,602,463,177,208,733,502,
541,460,151,103,763,995,516,724,886,066,159,360,716,507,449,242,263,628,427,
751,817,996,829,669,098,020,651,445,143,742,246,496,527,913,260,390,216,446,
120,425,264,087,910,250,226,708,195,209,967,543,101,510,270,974,773,916,578,
561,791,463,845,900,211,102,324,433,655,328,929,947,759,013,752,975,564,156,
277,644,459,986,441,983,640,212,509,951,203,734,179,409,580,174,202,926,554,
461,625,006,650,801,390,595,745,039,380,017,370,473,523,506,673,159,919,745,
749,502,017,847,693,356,889,218,488,654,037,859,356,514,327,452,291,606,768,
238,266,831,157,157,254,374,947,070,993,748,880,524,596,345,506,498,004,036,
031,751,982,035,277,082,858,247,484,716,036,888,286,963,994,324,525,410,495,
012,597,063,584,996,079,776,053,857,258,406,081,236,944,950,949,770,976,163,
443,298,987,314,189,867,982,334,613,981,862,831,733,105,388,310,936,642,457,
411,523,810,658,864,846,289,735,326,850,074,451,187,779,809,294,945,006,595,
259,068,118,893,495,661,601,013,561,350,014,665,246,676,185,616,350,267,719,
930,058,683,001,601,401,745,431,354,413,959,939,690,880,981,486,271,040,011,
925,317,164,734,726,970,671,705,089,100,838,174,715,858,522,053,208,723,614,
276,821,193,455,334,330,251,163,253,901,545,996,657,009,623,836,915,381,902,
581,386,290,742,485,583,350,949,295,293,016,748,270,964,357,438,442,623,086,
392,296,780,430,484,290,843,708,741,590,730,861,595,977,670,320,951,363,347,
311,149,310,021,046,032,517,229,635,153,441,862,095,955,271,876,978,325,009,
850,263,653,383,075,630,174,446,808,910,031,423,355,476,876,783,900,794,771,
606,117,154,875,915,651,314,577,703,589,935,987,722,707,551,183,885,377,735,
479,092,879,433,566,057,215,216,979,617,386,142,352,273,480,471,334,158,667,
742,801,628,912,627,996,162,725,161,472,599,459,560,754,352,210,256,416,242,
372,012,618,808,125,950,454,061,742,212,832,880,960,289,998,328,550,452,514,
483,056,383,048,465,252,196,913,269,966,331,343,754,256,039,527,790,779,428,
914,488,447,559,531,079,473,501,343,454,601,252,286,793,280,960,899,988,833,
106,414,264,331,920,146,516,075,425,037,298,824,681,036,396,114,709,130,522,
449,090,839,407,234,786,040,700,399,993,547,311,059,492,512,085,506,251,270,
439,749,838,984,559,167,231,969,322,668,438,917,098,890,058,419,041,778,330,
731,248,976,087,470,487,945,776,334,617,097,292,960,331,117,974,247,415,915,
776,605,073,342,754,492,771,722,593,852,498,655,527,984,360,352,120,327,030,
203,256,978,786,373,946,251,241,074,027,032,637,221,890,310,252,386,050,411,
400,974,661,674,368,972,018,010,173,464,926,033,987,033,716,746,121,828,652,
716,630,106,194,550,590,752,295,780,376,558,047,553,185,743,512,302,230,496,
617,765,320,211,041,144,653,527,693,882,096,835,710,920,299,719,660,738,844,
667,296,029,577,078,902,359,065,611,825,188,399,281,618,112,551,295,613,399,
117,429,939,777,890,612,792,659,467,041,137,890,182,120,321,622,372,753,351,
731,872,405,958,811,619,530,543,292,294,211,303,723,091,665,706,757,800,229,
843,662,319,861,114,847,450,133,738,984,798,696,385,753,948,358,275,167,239,
270,533,812,311,513,875,194,859,610,507,120,065,461,721,027,321,730,316,793,
372,114,574,297,693,817,230,332,496,875,894,103,610,072,151,679,901,755,519,
131,781,320,918,039,250,826,321,306,921,872,498,625,347,543,204,372,767,976,
875,976,471,392,922,478,834,877,361,273,064,472,113,682,089,860,942,272,291,
058,342,546,833,527,871,183,719,057,503,921,634,738,289,640,363,980,794,681,
747,020,421,700,794,469,693,681,494,919,830,109,801,719,822,467,749,050,169,
102,461,424,784,511,102,078,255,232,334,645,034,890,738,831,461,492,764,341,
512,864,785,360,557,402,742,517,358,563,413,191,526,951,380,164,237,595,431,
661,756,681,911,004,479,393,252,173,680,737,163,536,601,036,832,904,939,768,
429,316,037,639,000,617,324,841,991,141,471,263,945,701,870,536,872,592,578,
514,277,510,233,033,852,185,919,263,017,933,555,538,909,269,254,898,525,309,
207,751,325,673,771,872,618,777,693,802,630,305,141,120,457,478,306,207,365,
904,793,360,208,180,063,150,484,022,687,239,547,760,802,214,378,166,371,216,
781,544,797,967,684,430,334,702,491,966,714,840,788,051,654,517,332,621,722,
535,457,680,348,119,237,967,352,202,525,923,235,816,880,891,253,205,726,592,
859,148,281,042,883,646,171,654,549,866,174,737,326,405,357,337,983,082,662,
570,665,029,569,646,848,559,605,659,690,430,768,908,600,898,663,264,114,680,
642,542,429,125,564,106,830,062,619,337,977,541,255,271,387,120,893,259,501,
056,099,578,385,114,652,360,195,629,312,129,269,616,456,781,796,835,242,993,
206,542,357,210,030,392,204,553,097,449,481,163,452,715,660,161,592,353,140,
830,866,502,087,739,321,386,295,254,359,447,490,765,355,296,697,871,190,484,
747,613,075,768,564,146,461,446,537,945,255,132,018,399,749,461,899,958,413,
954,226,779,781,508,426,770,719,160,126,226,492,519,822,397,427,313,040,869,
723,850,981,314,375,213,335,517,087,136,362,076,383,158,903,454,176,658,867,
472,365,163,490,013,970,286,696,083,416,723,172,625,688,737,603,737,742,423,
634,385,044,047,712,025,735,658,389,267,610,055,742,450,745,489,119,861,863,
209,129,284,471,341,132,526,604,987,935,843,675,648,609,513,763,784,840,203,
150,072,456,337,357,513,771,033,427,950,809,137,470,541,247,887,167,706,537,
021,187,221,823,852,527,053,969,953,147,391,390,292,516,132,310,398,181,069,
268,854,467,389,236,011,930,927,381,059,876,253,128,620,677,003,077,012,740,
480,061,024,822,925,552,866,115,050,723,707,780,910,690,940,877,886,208,456,
989,894,582,049,382,621,841,579,263,889,140,167,271,597,124,673,387,627,169,
689,303,836,790,417,933,825,163,050,748,524,667,131,029,038,382,244,947,610,
231,075,937,467,957,561,186,685,851,098,518,832,891,809,089,815,595,773,604,
425,373,136,755,883,490,022,162,834,326,608,684,577,852,107,361,482,047,091,
789,336,044,524,013,787,787,558,740,051,206,930,981,562,791,404,639,395,777,
756,527,724,096,204,091,496,679,693,426,656,825,997,636,897,153,056,010,405,
717,542,646,991,710,283,906,779,451,823,112,463,241,410,324,135,420,540,609,
664,527,099,786,787,814,491,191,957,493,877,300,793,216,072,338,842,194,287,
783,282,773,203,848,340,535,822,417,489,323,907,454,375,437,052,024,039,156,
648,287,929,946,190,053,450,538,398,229,467,767,827,947,800,282,842,381,246,
773,956,739,815,565,840,545,510,428,288,085,040,847,720,838,210,113,250,528,
068,919,611,821,744,626,450,255,648,816,944,067,580,763,995,152,277,111,686,
823,413,583,316,605,261,637,896,691,640,966,174,148,375,373,964,075,608,808,
115,379,163,725,629,140,200,143,917,084,521,819,529,820,169,680,251,268,942,
119,476,158,405,787,877,601,775,166,673,282,263,816,158,926,611,114,083,560,
191,694,122,774,011,501,277,446,022,516,621,440,823,941,917,838,638,607,546,
522,444,809,360,253,958,603,333,913,474,415,910,192,417,797,511,295,004,521,
545,575,892,993,917,716,462,177,008,050,613,735,019,408,847,342,528,253,237,
807,500,281,005,023,264,953,710,290,442,047,220,003,832,953,167,218,543,464,
308,221,967,399,606,923,779,977,602,914,378,155,249,848,428,489,732,771,940,
734,608,289,852,445,800,526,392,190,336,443,981,443,871,090,669,687,384,562,
668,984,908,257,071,121,643,296,778,449,713,252,924,599,749,573,531,668,724,
574,051,678,952,267,961,618,328,979,786,382,820,276,745,774,682,485,632,252,
999,448,865,661,548,642,462,404,992,048,718,586,975,709,973,616,650,295,249,
547,583,877,634,443,112,071,950,319,107,075,779,995,045,501,579,131,329,990,
348,995,379,962,725,658,217,380,356,225,060,259,319,793,240,648,729,707,105,
700,073,692,088,686,140,465,955,464,771,741,098,167,521,636,025,734,743,287,
815,972,553,439,557,734,796,799,000,153,160,972,779,086,018,989,848,823,692,
625,306,925,888,853,413,131,105,760,089,835,277,837,349,827,613,138,963,048,
377,184,152,914,889,150,557,801,470,910,219,062,363,202,927,007,788,026,113,
607,606,393,392,600,523,276,471,105,830,826,963,429,208,690,104,424,111,495,
261,738,953,011,732,430,735,961,935,398,414,204,258,219,109,851,717,946,394,
361,094,816,523,642,261,418,895,539,997,049,461,899,841,693,488,185,507,699,
458,350,027,689,199,696,935,382,105,777,754,358,092,076,706,154,994,651,540,
697,440,299,167,856,233,946,594,210,376,286,843,233,692,950,851,570,243,936,
482,444,660,082,117,220,467,781,183,272,698,933,866,152,046,730,187,045,838,
487,487,657,872,771,800,947,579,143,919,167,420,702,994,386,582,468,093,852,
216,295,291,458,250,786,780,121,359,136,663,844,036,886,649,263,312,418,436,
105,806,504,309,792,475,489,926,816,327,759,030,679,995,437,869,286,835,951,
920,757,109,942,789,927,389,599,962,764,882,948,491,988,134,986,428,944,819,
493,638,989,334,874,230,975,869,268,732,837,213,946,132,708,400,815,905,203,
984,253,705,620,003,178,016,775,452,649,461,271,565,884,086,387,631,290,626,
427,283,994,942,735,247,761,083,889,497,187,673,446,496,398,857,793,046,227,
966,226,739,915,080,194,936,890,542,194,701,557,160,318,104,880,898,404,725,
197,741,942,395,475,153,902,370,826,646,196,985,535,302,613,300,341,952,898,
558,636,843,631,489,455,495,464,101,899,989,524,475,333,207,226,115,427,334,
198,452,615,133,578,497,485,548,987,461,807,081,730,595,879,484,088,396,168,
202,734,712,966,840,653,958,379,065,996,010,441,451,072,839,976,572,457,116,
852,457,068,791,157,285,058,463,713,812,999,133,396,912,342,885,021,699,746,
634,361,899,701,152,897,682,187,370,713,436,550,747,808,033,218,103,855,858,
922,172,899,076,433,401,043,551,912,022,146,882,894,533,682,506,512,418,987,
034,669,614,357,882,594,344,846,343,717,224,282,893,592,766,515,306,654,907,
629,135,981,558,448,333,507,144,572,704,737,423,456,247,075,462,348,459,296,
472,961,269,722,178,152,233,257,429,135,304,999,032,417,989,648,698,947,724,
507,236,712,117,270,761,785,457,812,846,446,970,647,934,375,682,297,657,804,
681,348,125,256,326,473,742,550,283,735,768,187,595,860,193,530,029,215,279,
292,095,710,465,686,315,078,087,649,363,735,253,764,813,265,502,517,283,922,
509,174,695,899,300,186,227,607,190,500,057,154,733,200,697,595,056,200,461,
348,741,374,498,224,157,766,369,365,258,505,567,584,168,663,730,005,303,953,
189,391,506,689,868,357,923,319,439,979,527,056,455,601,173,953,756,076,931,
031,337,978,054,296,214,997,434,849,656,693,568,863,489,497,980,306,553,703,
316,325,206,770,016,178,390,776,222,918,297,925,606,656,803,957,980,628,459,
652,050,706,744,046,162,918,248,179,884,673,386,588,561,327,170,095,779,250,
440,931,783,414,942,990,939,687,313,353,363,820,181,290,002,422,516,407,464,
494,141,596,686,181,338,029,772,893,170,624,509,790,148,229,675,593,772,500,
086,569,368,831,389,419,956,406,734,808,359,407,327,919,435,789,310,003,479,
828,754,968,385,473,504,724,628,488,946,954,721,552,738,779,135,185,413,474,
122,882,264,079,248,276,688,756,212,429,899,501,075,401,946,540,468,943,441,
472,043,521,133,202,513,059,213,677,022,392,023,136,170,304,783,796,165,073,
495,658,946,159,078,515,941,667,695,429,005,185,995,979,534,868,448,643,401,
265,705,709,599,830,805,014,135,814,604,907,459,517,837,999,012,086,861,577,
746,181,762,732,527,818,365,879,697,800,388,405,331,642,066,585,235,110,358,
900,119,470,239,934,817,385,091,112,434,770,080,316,207,807,098,441,112,516,
423,082,500,713,286,213,033,621,142,671,609,767,179,651,102,326,501,217,400,
119,424,015,593,559,643,945,460,615,773,349,992,279,038,538,395,870,210,462,
294,156,027,840,672,099,011,379,337,622,300,449,446,297,897,650,426,859,792,
254,309,712,942,536,905,650,028,060,611,812,065,950,903,809,512,099,733,796,
284,168,969,234,422,185,524,052,577,872,404,332,128,741,527,222,094,203,118,
214,064,697,362,530,388,347,046,332,536,740,059,347,695,377,039,726,303,764,
062,540,056,177,571,942,961,598,608,285,765,909,377,581,251,575,236,221,940,
296,671,824,423,661,532,982,454,601,883,404,191,320,674,024,848,067,916,277,
288,544,283,963,879,817,879,646,578,406,922,515,678,979,100,666,031,734,648,
835,958,100,689,370,973,290,848,002,803,729,215,014,715,860,303,955,562,916,
240,695,560,017,131,688,619,502,931,512,034,768,546,661,210,784,814,713,806,
098,789,669,136,259,214,916,806,195,527,473,608,855,546,674,116,502,037,290,
912,316,105,118,148,248,290,772,606,910,866,188,093,603,500,018,253,413,181,
092,485,706,593,491,807,795,568,504,750,973,760,630,383,118,324,578,905,504,
193,601,263,367,973,788,131,689,031,694,274,223,812,499,361,294,090,046,417,
784,331,697,794,707,317,608,456,370,949,464,562,406,998,059,087,443,780,901,
158,725,232,110,680,820,664,950,429,336,521,676,426,143,516,218,923,856,154,
388,711,981,384,930,446,959,509,907,251,968,737,319,103,144,172,070,608,358,
805,670,096,144,437,066,079,751,103,340,911,735,156,084,989,521,708,653,125,
623,754,979,814,384,195,978,847,648,043,451,477,132,751,061,575,638,945,080,
699,198,840,144,881,048,277,678,520,927,859,555,542,999,591,156,755,653,443,
261,955,550,353,284,518,989,561,379,763,286,427,116,893,786,953,000,706,486,
652,395,668,717,972,071,929,241,947,979,955,582,640,740,305,461,296,488,894,
239,984,287,446,529,327,363,012,812,821,926,622,722,726,689,001,822,034,653,
390,079,844,971,489,610,133,332,122,118,580,741,062,967,424,032,499,702,335,
640,654,264,135,278,048,712,640,866,620,473,118,678,484,766,067,341,519,430,
766,798,719,313,938,684,549,856,675,366,707,773,624,993,935,135,844,440,588,
461,564,763,256,810,998,450,058,508,750,365,321,496,135,043,105,251,510,065,
259,121,742,433,434,349,496,765,781,070,204,082,733,539,793,515,744,158,002,
660,901,028,864,134,902,033,406,395,122,626,387,575,306,405,014,387,850,034,
524,382,380,359,045,019,571,529,605,444,876,653,671,211,825,029,162,096,796,
467,498,415,834,759,315,578,690,955,512,255,051,688,840,534,577,987,623,082,
501,620,611,430,932,484,269,682,833,735,081,130,416,800,655,201,327,358,443,
990,571,209,376,964,178,727,890,266,857,037,391,180,685,987,647,790,561,731,
704,018,279,629,599,723,556,024,978,248,781,150,412,254,543,951,061,694,511,
534,626,064,989,823,603,535,290,615,726,906,700,284,427,025,570,500,254,069,
175,523,403,844,766,395,025,868,514,743,644,546,319,672,850,408,934,793,889,
381,156,326,867,068,237,379,030,064,980,148,310,418,445,127,729,437,792,113,
338,406,287,817,304,519,342,086,197,240,867,459,761,059,147,718,559,291,542,
304,137,309,833,840,987,546,263,204,121,381,604,345,343,321,220,359,838,464,
993,214,933,164,674,182,648,643,263,233,883,426,152,409,378,018,628,367,046,
604,246,237,537,251,524,785,384,688,046,369,743,907,061,635,629,605,289,358,
158,642,286,084,471,018,419,318,465,307,579,567,421,139,750,716,811,824,777,
600,805,754,930,333,173,760,760,018,492,228,233,498,935,472,575,655,908,183,
685,535,596,315,114,010,919,554,062,172,696,000,802,729,069,964,223,959,081,
025,797,162,137,395,794,131,311,110,554,853,623,197,744,578,286,411,320,197,
917,766,493,575,500,063,012,827,258,439,675,829,874,057,319,157,799,915,686,
627,655,662,132,761,909,723,544,661,253,108,271,970,465,206,000,826,670,717,
667,764,389,188,163,356,778,842,769,195,104,717,104,738,313,730,583,279,604,
290,617,013,550,472,179,245,649,283,905,521,757,644,811,959,163,261,771,436,
254,739,872,489,865,754,358,896,626,593,520,594,044,640,281,427,474,156,095,
653,722,319,527,173,478,684,138,898,311,312,933,154,896,278,886,185,543,262,
260,747,883,373,848,558,803,987,473,526,784,936,304,678,808,960,799,896,025,
742,625,584,891,328,372,981,420,624,879,290,117,076,243,933,495,144,597,223,
186,011,645,793,303,936,764,670,811,452,761,205,807,950,379,993,031,662,642,
286,305,615,593,828,193,243,118,184,294,914,387,829,994,623,795,387,503,052,
170,303,984,008,441,161,697,348,293,876,654,026,151,062,018,275,612,793,122,
105,986,523,593,037,525,142,266,462,349,627,213,404,005,228,404,131,606,995,
111,262,408,503,653,764,229,258,099,500,483,368,460,041,871,706,777,714,157,
196,167,548,360,881,449,708,667,687,134,904,598,841,425,765,682,523,361,690,
712,047,669,201,149,097,066,440,043,663,337,509,916,339,802,897,732,776,849,
643,991,582,007,637,472,320,637,477,458,068,415,342,969,342,126,139,128,177,
769,052,704,753,861,742,451,060,237,299,850,521,705,892,266,150,886,717,753,
803,063,297,802,851,887,361,541,193,681,355,167,649,489,839,595,571,177,540,
067,002,439,611,674,438,494,028,170,982,512,926,362,319,675,022,730,819,051,
717,224,630,842,621,216,316,267,496,765,322,819,826,597,583,328,038,903,772,
438,951,760,720,310,547,328,585,084,233,341,208,501,078,272,651,271,834,216,
039,395,638,483,123,903,139,515,052,804,344,967,986,101,523,128,081,657,304,
863,895,441,566,801,232,238,485,977,057,827,700,607,292,923,869,411,671,807,
347,670,753,558,833,896,673,854,329,467,569,974,998,429,892,434,617,552,507,
922,116,181,684,311,410,649,107,926,720,438,828,343,813,089,954,903,848,041,
974,854,144,322,957,281,845,820,556,014,903,103,848,345,537,338,325,652,670,
785,331,369,132,148,148,339,185,509,234,400,828,621,531,950,674,292,470,096,
279,085,258,102,933,928,586,422,626,197,224,504,198,780,361,061,797,094,604,
499,813,757,327,953,470,292,876,391,423,856,560,103,232,645,067,765,388,860,
872,195,565,933,009,218,289,807,580,810,947,783,800,580,290,250,675,445,665,
007,659,572,636,778,089,977,767,013,052,358,691,309,706,332,687,669,783,718,
420,946,082,447,332,177,235,746,539,976,103,851,020,516,683,097,442,621,498,
559,364,728,212,743,846,204,254,342,091,307,854,171,038,000,088,024,560,180,
359,061,245,861,506,385,856,893,311,547,327,327,232,760,571,730,636,938,467,
066,673,927,424,411,971,581,391,808,356,962,331,202,334,512,218,485,518,270,
766,255,651,247,475,963,677,973,199,012,827,324,737,157,388,684,724,186,281,
123,553,367,028,973,482,834,989,780,065,094,637,128,533,231,460,975,963,627,
923,218,282,624,824,317,382,750,695,508,362,091,293,763,095,491,661,660,375,
389,276,427,997,097,504,081,464,277,152,742,932,865,533,142,775,826,882,822,
641,111,770,254,041,728,082,590,789,729,618,223,167,689,874,387,348,205,952,
685,851,410,421,758,662,608,234,957,361,923,824,686,213,231,266,993,256,774,
654,492,321,400,443,704,691,151,260,236,434,427,011,364,782,687,378,326,398,
680,314,779,712,599,861,349,447,343,005,212,437,186,807,384,990,041,308,697,
130,784,546,534,911,845,851,872,347,391,099,291,145,595,076,046,898,571,431,
994,829,087,196,101,983,947,262,181,133,738,097,024,551,192,607,292,852,817,
234,087,797,570,600,472,107,291,307,677,308,189,181,888,896,304,695,197,743,
528,655,908,609,592,634,540,821,888,198,919,731,068,247,058,287,056,331,834,
092,359,303,896,384,584,119,957,653,954,856,682,952,173,976,098,859,916,300,
645,985,839,839,443,689,587,695,459,786,142,265,147,564,714,847,481,740,016,
025,851,820,624,673,796,422,691,317,291,332,474,877,203,094,325,375,201,135,
825,869,403,759,962,419,558,643,620,687,003,437,826,394,389,665,220,084,055,
603,729,740,821,168,858,934,329,840,496,701,663,298,841,128,938,000,758,230,
172,505,789,203,392,695,345,050,897,819,568,151,969,622,424,535,715,389,158,
779,579,737,785,570,244,886,910,773,795,334,784,103,719,090,316,262,335,953,
590,214,458,587,381,659,957,315,545,891,039,463,585,064,055,122,177,487,352,
687,955,997,794,829,035,782,871,153,868,609,391,784,183,607,441,622,273,248,
537,696,193,609,397,054,215,804,994,669,944,668,841,730,589,817,214,117,818,
820,817,001,743,680,280,844,968,819,607,907,187,520,249,838,228,663,797,837,
769,079,286,987,432,349,117,598,965,257,321,235,908,685,608,076,000,508,216,
638,827,046,222,738,029,464,293,299,722,812,158,708,626,932,079,937,530,010,
494,784,651,742,774,996,683,918,683,284,978,994,690,626,959,167,102,229,917,
993,399,427,730,574,548,549,950,076,616,864,590,596,205,809,694,717,665,836,
357,997,064,469,194,745,104,876,610,736,109,499,515,217,782,200,091,104,844,
123,783,691,338,768,395,031,368,582,207,526,993,783,998,237,495,497,370,095,
088,519,010,763,845,456,503,963,390,646,162,195,176,569,169,296,114,674,055,
140,757,474,674,306,360,697,229,970,200,957,846,318,190,364,164,077,006,958,
012,377,296,287,655,910,702,501,930,026,744,678,514,365,429,862,333,637,710,
873,444,505,143,987,744,217,303,950,689,033,190,573,803,775,570,531,602,253,
101,434,303,952,636,442,445,793,180,797,046,803,099,548,188,742,836,192,658,
865,325,839,369,017,801,560,917,799,248,829,567,439,150,158,587,847,380,739,
599,970,562,269,836,151,654,902,640,812,165,886,578,605,216,814,576,546,343,
605,189,504,359,025,896,467,436,280,898,224,501,955,572,046,949,673,088,505,
123,733,938,416,836,551,910,032,660,087,563,470,757,915,304,932,886,931,307,
674,309,138,599,516,895,968,833,094,294,112,546,374,008,925,698,771,850,145,
797,092,893,076,218,387,996,457,502,180,774,984,924,722,596,250,001,679,954,
507,186,474,017,596,778,345,455,402,885,112,966,747,563,050,473,871,711,359,
769,134,162,580,749,923,961,804,388,221,261,684,498,198,463,612,224,778,231,
040,716,034,362,676,120,429,387,149,600,057,969,365,933,640,953,194,399,243,
539,618,485,026,176,623,233,788,687,339,652,599,488,165,433,768,333,766,234,
224,420,801,815,002,350,262,691,075,185,400,407,651,875,948,383,060,453,440,
015,015,851,308,889,363,830,679,847,853,800,398,566,807,062,130,821,585,316,
764,499,998,293,228,773,859,617,452,788,670,907,191,221,362,893,678,236,836,
417,749,117,856,960,500,591,437,480,924,373,881,734,323,015,186,458,247,775,
577,601,238,588,649,123,962,316,772,378,263,230,855,174,934,662,504,729,447,
753,910,021,591,942,072,369,079,768,645,183,863,500,955,901,747,932,912,356,
512,119,894,291,952,355,099,674,870,747,376,568,870,800,584,121,940,951,744,
358,710,994,738,758,387,752,095,272,903,423,486,372,661,388,003,630,041,001,
115,772,552,313,035,259,004,494,698,789,752,388,304,294,772,616,968,174,959,
562,301,198,466,018,642,109,158,835,519,137,833,506,575,312,615,415,086,369,
744,632,433,452,501,390,093,988,860,486,738,580,812,852,510,859,944,767,164,
042,979,032,290,772,027,175,300,069,002,736,078,220,933,861,140,892,722,707,
654,317,603,509,023,290,663,790,380,302,736,552,179,662,050,641,129,895,556,
212,561,214,776,904,900,793,954,328,360,405,266,828,144,788,765,967,335,914,
928,583,877,205,261,277,453,355,208,355,324,450,080,799,373,650,666,407,012,
574,638,135,196,569,727,109,583,041,963,489,961,516,311,087,324,183,162,452,
263,277,691,879,372,398,033,348,265,023,581,906,877,834,449,036,479,473,317,
977,773,996,657,983,333,378,604,415,889,988,077,721,377,410,943,530,708,494,
480,186,465,592,812,480,397,548,586,905,252,215,993,197,700,537,068,043,378,
827,667,120,848,756,549,450,910,318,307,375,483,484,481,980,803,321,219,225,
206,113,891,670,324,807,002,787,970,871,337,638,322,798,258,480,635,035,341,
676,748,943,332,273,864,794,858,468,165,898,056,105,806,662,821,660,455,314,
113,784,443,935,185,806,622,720,510,691,144,582,631,334,356,056,709,805,744,
049,648,598,842,064,210,815,614,206,828,730,555,305,617,181,910,498,442,704,
892,407,410,319,145,484,853,623,038,408,297,400,757,702,781,823,450,566,911,
862,852,125,478,371,054,928,565,664,153,428,455,905,266,809,657,918,826,372,
718,076,974,165,149,864,476,921,382,845,415,316,331,709,403,002,917,322,901,
485,967,253,855,625,902,357,680,143,061,275,704,579,733,033,679,487,644,082,
905,370,918,015,785,206,557,139,518,114,893,841,377,030,626,764,562,720,590,
117,764,378,055,096,400,973,920,007,603,060,255,480,714,052,265,614,808,675,
322,904,695,054,352,128,927,981,764,773,540,056,744,224,317,376,842,320,168,
524,008,630,274,270,960,999,105,267,440,756,130,994,816,152,595,780,691,231,
858,277,494,339,783,690,991,055,015,623,321,455,147,627,163,295,039,617,788,
427,783,586,514,935,217,993,105,014,488,119,785,927,724,495,400,883,813,358,
165,309,370,354,717,122,213,434,057,227,045,564,907,653,649,432,445,793,880,
634,473,472,386,744,697,363,549,528,921,456,862,164,780,667,799,591,906,680,
416,212,909,457,953,048,140,460,261,289,523,397,325,533,752,350,585,450,607,
545,542,464,844,035,129,737,640,367,424,074,929,761,268,538,826,488,987,240,
041,126,567,206,319,951,423,536,611,367,349,028,806,312,677,374,388,345,095,
030,299,886,448,685,301,155,528,676,171,193,394,866,523,229,086,190,623,045,
203,152,160,914,645,159,485,290,188,176,019,627,131,032,520,444,969,463,977,
695,056,497,181,104,343,765,940,201,363,120,433,553,207,875,686,027,377,659,
235,190,809,395,794,287,858,654,041,249,823,653,466,306,460,860,875,768,284,
939,853,597,496,750,479,040,876,162,794,827,146,928,147,957,623,708,316,783,
599,446,404,666,112,878,557,165,560,703,598,873,503,046,569,482,868,480,292,
327,489,775,737,164,597,250,137,612,095,137,757,689,366,170,868,620,683,401,
357,013,713,858,978,968,543,306,811,412,768,763,595,102,642,549,523,165,594,
482,925,944,358,023,639,286,942,044,867,683,508,024,501,729,805,230,958,283,
424,094,557,361,914,502,131,891,867,083,930,083,547,485,103,310,377,965,404,
618,072,336,085,889,655,213,194,594,536,133,801,824,547,006,092,766,958,738,
634,422,121,929,840,980,428,504,982,713,614,526,320,889,066,010,378,061,624,
423,561,627,179,963,726,822,944,523,259,483,982,172,501,153,881,663,053,086,
000,536,502,065,047,904,452,299,612,290,989,844,902,332,778,834,257,897,414,
943,409,614,957,109,173,701,945,825,667,225,953,266,853,602,194,522,731,780,
243,598,265,199,187,639,089,970,791,871,800,626,485,612,480,259,413,213,110,
231,616,287,728,388,076,533,763,571,469,628,017,836,253,914,370,915,009,431,
500,962,049,536,760,724,994,734,275,410,553,753,983,078,511,978,801,782,624,
225,170,168,933,486,084,831,738,395,720,931,510,826,583,876,241,992,163,280,
490,849,808,716,465,458,744,940,342,270,662,664,501,800,563,499,457,227,208,
771,076,006,157,775,287,660,291,240,168,248,094,961,133,912,573,707,397,540,
398,027,842,336,016,742,119,671,655,961,714,891,965,698,036,949,341,981,720,
140,091,485,600,912,096,189,769,555,191,568,230,520,569,529,932,366,525,168,
544,759,338,936,426,367,553,883,429,552,896,717,044,874,966,282,265,952,857,
139,139,622,993,197,703,118,356,327,740,843,156,989,321,413,758,931,103,801,
228,642,661,844,884,095,523,993,334,135,928,805,614,645,206,452,614,123,415,
147,957,283,378,393,806,579,018,447,487,213,082,150,024,562,084,912,267,582,
289,853,850,110,823,675,555,959,891,346,268,314,299,887,670,796,822,467,927,
357,801,334,367,591,182,455,083,327,299,527,012,250,833,841,587,301,988,014,
198,924,765,245,567,138,551,447,731,547,418,939,770,116,613,404,084,744,460,
036,291,330,749,725,219,327,688,487,221,237,964,191,380,858,187,485,157,777,
024,169,730,144,191,999,481,914,240,602,428,921,738,927,873,657,035,519,747,
522,726,388,502,963,226,550,957,307,842,532,659,101,344,398,530,189,684,850,
524,475,059,746,832,594,887,650,774,078,196,202,356,047,848,841,583,305,344,
018,662,308,603,966,847,673,547,100,601,091,566,922,000,842,738,391,334,147,
438,910,279,674,997,987,943,235,976,048,234,686,672,003,643,886,651,311,692,
590,343,479,210,651,244,329,687,484,600,842,170,606,686,831,853,670,155,026,
352,051,522,404,398,830,292,718,290,983,050,156,038,251,952,513,050,186,207,
500,720,870,469,318,244,577,292,545,016,118,493,958,595,597,836,877,836,213,
351,289,297,600,375,369,784,767,891,193,788,259,473,379,639,653,513,385,834,
183,106,372,563,171,007,651,487,412,707,302,132,861,746,120,524,491,292,412,
965,052,096,043,511,596,902,523,864,827,212,760,526,176,143,681,944,519,347,
472,930,748,125,951,401,385,710,029,878,759,875,684,690,588,323,180,608,080,
385,743,560,363,812,235,578,472,659,206,987,694,405,300,110,423,856,271,054,
087,667,778,643,544,735,737,571,363,223,854,936,774,694,729,207,026,352,714,
874,198,586,482,397,552,565,695,744,856,760,570,765,817,947,958,626,154,714,
986,952,293,232,544,289,745,032,821,493,639,133,350,031,160,802,668,334,842,
874,484,807,430,866,496,665,344,217,371,015,514,261,474,364,056,227,954,917,
156,457,835,145,100,878,408,890,191,049,128,828,808,975,633,281,640,451,466,
489,026,099,664,017,991,968,531,509,221,046,883,174,358,067,430,883,209,851,
587,518,637,417,740,445,424,118,389,125,999,987,568,555,678,493,154,637,881,
475,185,833,071,402,266,069,285,065,576,610,099,088,680,200,589,416,733,314,
243,888,186,243,465,340,635,433,189,435,754,136,907,104,951,200,776,680,206,
079,039,785,146,491,196,814,633,099,544,701,050,347,518,176,402,935,666,584,
419,689,884,330,555,971,115,816,079,378,060,450,776,084,892,660,312,492,182,
064,113,604,545,767,714,908,039,090,653,277,493,347,474,091,247,118,514,305,
705,281,443,515,621,050,151,630,782,989,689,044,266,321,078,345,902,379,324,
453,892,191,241,009,767,809,155,499,496,396,368,966,586,831,367,822,606,697,
138,036,670,540,273,593,829,385,214,446,037,023,017,357,068,184,380,957,149,
521,356,631,334,969,648,512,953,771,197,196,097,352,482,362,600,219,477,566,
694,544,295,020,892,760,008,982,752,843,886,926,185,276,479,757,580,227,245,
493,516,018,303,718,532,733,774,106,384,086,925,771,681,218,101,680,816,481,
803,194,754,118,495,643,562,988,867,615,606,158,443,331,104,145,199,891,704,
056,647,290,681,661,625,419,000,897,298,121,389,671,161,672,397,869,635,809,
680,307,188,947,086,139,907,049,590,268,216,581,134,476,865,029,982,691,400,
493,351,210,357,488,403,193,594,863,197,422,408,035,670,207,373,187,272,088,
699,815,886,382,930,217,922,434,795,692,862,507,107,026,383,432,711,046,622,
561,010,512,999,372,749,475,344,408,634,803,441,646,398,362,373,578,763,057,
743,770,159,410,755,546,133,615,803,350,587,616,565,001,088,293,578,788,771,
374,527,793,768,608,405,673,053,362,563,281,699,528,839,337,323,176,624,555,
047,874,067,057,768,480,613,248,975,302,764,156,572,096,704,172,760,576,215,
083,179,685,291,820,806,806,547,060,126,175,434,898,266,704,400,532,969,536,
230,369,399,775,628,695,075,713,188,227,030,315,410,028,500,290,308,388,058,
585,243,017,728,998,363,291,812,135,329,533,559,332,380,222,723,717,204,018,
141,772,633,676,008,455,409,228,405,124,466,000,800,635,664,092,016,049,829,
949,717,778,797,440,923,304,259,113,381,582,570,896,755,047,842,654,537,234,
181,830,037,904,128,345,623,447,484,508,089,738,906,905,594,788,669,442,787,
754,601,888,777,207,527,490,170,411,203,450,819,479,897,389,669,224,948,271,
022,517,884,555,746,513,394,134,730,020,892,182,409,305,106,357,483,074,229,
678,667,717,812,869,128,007,693,682,264,603,821,089,510,679,283,560,891,167,
160,148,491,672,854,589,241,114,392,280,631,763,254,969,128,859,184,433,622,
081,927,439,765,200,134,688,424,955,410,842,991,914,134,786,795,352,398,279,
348,487,284,668,537,257,936,643,354,344,922,857,307,029,012,244,765,717,721,
805,332,905,804,967,867,761,600,009,053,467,653,921,574,459,384,948,780,462,
848,033,549,948,874,176,649,056,364,703,112,874,309,273,681,796,022,245,650,
533,849,382,040,004,670,535,277,797,015,998,870,462,155,377,780,251,184,296,
234,410,849,267,092,767,687,871,551,359,220,343,372,099,119,379,333,579,178,
839,167,394,525,805,919,289,835,609,755,361,008,433,707,562,130,963,122,537,
283,071,540,657,172,024,976,147,537,112,417,354,129,570,530,294,450,915,112,
458,078,953,299,117,248,991,358,080,846,939,830,541,198,865,057,628,926,410,
196,490,582,622,750,948,787,290,629,507,768,318,893,384,223,022,648,498,066,
725,564,992,139,362,508,303,390,568,805,105,255,413,693,643,995,855,013,824,
731,816,386,435,275,488,739,801,525,979,937,115,442,075,875,364,994,120,631,
533,406,012,448,890,137,615,773,756,588,438,414,739,824,793,024,465,183,766,
098,043,640,626,398,134,419,945,662,507,567,532,241,648,765,161,773,360,843,
204,392,224,099,110,684,773,965,056,470,405,375,418,031,658,320,408,928,545,
209,212,771,580,224,959,948,496,934,654,442,891,068,984,378,894,212,310,737,
771,068,475,815,562,664,583,998,976,280,131,060,405,606,446,632,363,448,729,
459,775,943,504,415,570,089,427,440,457,217,809,620,348,046,566,472,930,099,
211,936,730,976,044,023,175,932,149,516,623,853,306,718,021,831,769,504,811,
845,109,574,425,022,202,873,995,869,368,690,392,763,407,198,002,922,289,487,
639,177,395,709,283,275,167,603,608,845,065,783,420,526,060,639,855,994,483,
681,109,866,890,858,495,961,183,525,961,487,735,866,375,185,769,219,256,091,
086,230,819,461,727,112,034,784,891,557,425,473,596,910,517,059,409,880,835,
912,502,158,369,718,589,916,156,709,252,268,581,065,527,606,500,707,841,349,
035,972,046,796,946,241,958,698,019,593,413,251,834,091,751,064,270,991,916,
565,012,800,976,406,945,386,478,396,954,222,150,842,701,910,230,430,145,534,
088,890,605,707,688,336,775,611,677,266,957,400,267,604,500,541,607,869,161,
685,296,175,624,958,478,968,396,703,973,976,972,035,374,829,236,476,281,050,
941,883,981,043,854,066,775,219,162,460,343,493,301,875,342,457,276,988,680,
111,506,407,432,927,891,604,536,659,573,855,695,348,922,181,818,690,745,205,
372,822,520,924,721,612,597,116,980,544,603,295,660,167,869,970,705,943,806,
631,980,977,752,349,688,220,970,763,597,759,804,124,448,540,995,095,556,481,
728,714,976,854,210,026,769,841,467,520,477,782,034,305,121,232,056,200,942,
532,183,453,731,218,091,576,239,847,607,238,733,417,138,115,838,417,266,203,
735,328,898,585,803,864,803,018,191,396,553,841,575,183,418,155,164,344,777,
873,273,618,088,479,268,907,018,294,009,307,497,804,377,132,628,092,769,000,
123,406,044,441,544,080,880,044,286,295,950,528,507,160,722,198,039,507,328,
093,910,616,108,757,318,259,841,180,580,343,376,517,742,539,350,952,715,975,
281,292,735,102,597,324,675,036,006,998,206,697,718,134,983,615,331,369,700,
302,351,390,759,014,728,168,968,789,610,351,427,154,148,392,363,274,160,199,
113,044,260,058,403,343,546,959,449,679,957,566,109,762,288,689,897,499,480,
552,213,967,721,214,992,941,295,164,756,669,958,980,569,353,521,502,793,172,
729,980,419,764,735,030,295,551,955,431,120,201,545,873,554,996,735,319,225,
629,085,196,710,033,262,496,130,754,216,796,711,374,849,906,792,066,977,181,
621,091,517,548,703,055,605,372,514,234,234,081,040,942,124,692,978,315,650,
660,333,980,419,663,635,851,641,460,493,993,766,006,790,105,189,526,299,010,
433,183,066,841,464,980,523,069,049,053,816,605,339,745,866,855,043,193,537,
893,256,578,142,203,247,567,383,939,879,432,700,121,772,401,666,358,955,002,
819,495,180,970,320,612,868,269,505,497,575,929,490,787,734,123,077,156,657,
392,865,454,973,846,863,440,434,476,617,578,781,893,345,496,134,365,460,981,
659,552,552,929,390,089,048,950,643,737,853,205,934,022,733,691,921,770,153,
841,347,349,259,071,886,743,958,674,295,133,611,940,709,687,099,436,050,083,
604,928,481,005,208,317,856,102,946,241,545,977,832,141,687,751,121,340,721,
923,377,708,059,986,913,748,418,974,204,534,386,284,481,870,243,918,483,266,
520,543,874,058,400,812,624,641,187,982,457,491,756,798,459,466,862,243,784,
461,340,599,451,652,062,429,965,397,615,436,894,169,914,743,434,673,249,809,
783,206,672,808,746,953,092,109,620,896,039,657,691,971,989,253,782,208,202,
306,229,374,406,884,418,832,361,157,327,307,315,184,642,799,106,819,605,353,
251,558,378,160,414,465,009,759,802,044,322,274,285,590,566,199,650,737,603,
926,394,259,706,984,495,235,664,224,045,820,022,988,244,921,395,221,339,768,
577,080,142,598,680,272,373,680,063,140,276,752,576,455,902,772,808,385,057,
441,970,570,216,206,895,888,604,841,244,361,572,823,709,529,191,757,554,157,
547,826,729,258,462,504,704,081,132,843,059,259,617,204,912,970,028,205,810,
139,319,686,444,189,242,135,020,031,083,575,439,990,757,445,408,658,298,881,
065,261,903,512,725,279,896,849,823,830,897,095,393,088,447,570,162,326,098,
243,156,825,898,231,836,629,540,398,283,276,263,038,573,115,419,036,216,614,
658,775,090,123,895,798,578,134,809,255,035,859,438,644,047,917,386,414,730,
143,480,024,103,518,979,517,369,963,471,308,898,652,027,528,432,084,587,484,
609,952,775,579,225,274,454,436,792,524,510,479,753,040,794,253,536,235,224,
047,009,823,776,133,848,351,148,876,357,963,856,578,946,383,295,875,065,091,
150,658,845,049,567,942,893,830,685,190,252,109,366,096,955,844,941,376,884,
110,723,422,243,313,831,912,117,524,370,620,483,740,665,940,506,760,353,587,
835,483,782,460,376,894,462,996,950,085,317,147,690,596,641,303,931,741,963,
803,716,484,187,745,585,500,370,071,842,227,791,279,186,663,092,593,884,448,
046,591,917,165,705,605,536,042,716,668,798,522,927,136,361,951,647,307,444,
298,907,702,937,344,505,874,465,415,493,390,331,613,473,392,433,423,487,567,
234,530,989,406,000,718,630,160,524,956,738,725,137,993,791,462,782,865,302,
805,883,219,575,371,613,145,905,907,134,993,632,824,571,299,526,364,557,815,
085,817,278,943,135,487,159,540,410,333,379,449,923,786,384,568,428,204,768,
114,554,307,057,575,581,516,750,512,149,436,989,150,599,934,920,417,278,242,
053,841,854,591,007,719,555,376,185,667,606,629,695,980,326,701,399,640,372,
062,601,631,326,783,228,888,583,090,968,019,017,540,452,266,383,288,712,246,
196,105,572,880,499,442,545,830,733,837,150,590,457,384,020,476,023,810,393,
105,591,214,592,995,388,174,065,118,981,265,455,246,359,462,818,197,765,791,
946,593,290,173,381,137,896,447,078,077,428,157,723,586,961,839,608,105,548,
549,123,549,965,650,882,207,374,860,133,702,140,082,806,501,108,391,729,902,
877,456,129,228,830,365,336,279,712,706,113,809,556,940,266,002,543,685,155,
779,217,470,868,106,059,511,045,838,940,023,266,082,014,522,225,939,560,646,
635,033,267,700,225,826,158,551,172,733,552,012,856,497,544,955,767,082,405,
278,294,259,819,445,082,662,450,967,956,365,076,323,239,801,044,256,020,342,
593,084,120,358,223,125,632,546,465,961,110,006,037,003,716,225,788,331,962,
949,357,332,932,737,670,574,432,525,722,997,199,568,467,625,632,147,919,356,
698,180,118,204,461,072,397,075,000,868,664,673,797,687,083,292,221,979,019,
546,317,959,271,277,298,959,117,364,562,204,157,812,874,347,499,208,190,476,
031,945,765,438,001,224,734,739,112,891,198,106,454,310,246,610,146,880,026,
368,884,756,709,735,397,441,029,210,020,971,885,574,597,289,563,428,108,489,
341,920,466,254,397,293,081,373,357,980,684,219,728,142,852,492,229,755,972,
250,032,865,178,475,050,772,590,088,417,334,051,990,509,142,451,466,356,034,
107,291,838,640,196,966,506,561,715,633,586,965,279,185,571,931,966,222,924,
444,895,430,513,044,400,673,639,507,032,832,707,562,307,144,910,494,577,445,
584,720,223,670,105,263,730,193,328,912,861,983,191,256,584,500,209,959,087,
789,097,488,995,843,045,891,993,402,799,967,702,339,580,842,234,953,157,308,
124,513,325,255,310,262,704,031,936,463,082,004,736,013,651,765,917,145,837,
537,880,293,451,258,180,295,841,643,391,417,050,674,669,467,485,212,454,741,
791,268,913,439,701,383,478,203,714,543,647,099,729,874,246,224,793,301,628,
842,001,067,089,046,454,645,873,964,045,498,329,827,294,199,795,254,219,480,
855,482,337,031,133,617,469,806,336,791,459,554,053,336,998,870,723,247,806,
380,491,974,830,906,514,101,633,430,195,740,672,930,901,796,404,229,050,073,
726,946,548,526,362,231,026,941,702,306,164,428,576,147,168,088,224,428,123,
675,288,933,467,878,673,736,933,968,620,136,978,543,021,990,504,561,010,542,
903,633,272,403,995,168,214,295,609,464,617,155,843,120,519,351,612,222,793,
039,666,548,148,220,549,447,907,260,153,337,476,621,111,490,477,345,902,245,
829,179,797,769,153,351,011,886,636,087,683,020,670,489,965,118,370,993,085,
329,871,850,244,715,892,949,110,113,645,402,516,937,814,162,686,033,002,149,
555,641,455,224,856,781,762,823,647,940,818,384,693,879,787,431,049,444,110,
374,037,237,876,496,394,530,386,674,105,644,202,559,602,699,997,671,530,677,
436,685,313,553,779,824,199,700,382,797,132,999,033,179,076,867,725,197,847,
474,960,850,599,704,954,529,949,872,043,699,097,676,461,796,223,194,487,841,
253,173,785,436,242,602,924,505,343,375,874,860,784,960,601,697,151,266,254,
659,103,473,897,841,382,761,109,626,108,805,869,967,319,724,071,344,790,011,
007,287,866,732,549,692,345,046,756,361,260,400,695,772,661,108,360,958,993,
749,228,271,953,842,847,606,720,146,385,607,075,528,713,012,176,398,489,067,
388,453,075,183,005,874,129,773,151,986,632,500,710,904,049,779,843,373,236,
841,347,846,864,071,596,720,000,324,348,092,736,672,187,194,111,689,452,408,
372,061,245,194,429,219,120,159,962,134,201,603,101,183,546,352,771,392,575,
557,695,078,270,893,153,473,052,741,432,408,797,395,613,526,552,765,514,319,
482,402,327,999,449,836,441,149,396,613,646,907,663,990,075,251,383,271,377,
257,306,308,248,593,360,867,974,040,916,610,643,146,586,586,526,953,035,802,
687,880,358,035,621,667,716,478,107,945,363,344,726,020,523,386,294,114,928,
859,019,093,882,191,665,348,624,323,078,811,394,785,660,281,731,408,420,036,
862,684,815,374,435,395,743,689,717,262,832,570,909,039,496,566,763,947,675,
519,304,485,792,001,206,439,949,106,432,085,462,092,966,626,466,699,534,526,
030,683,467,530,111,504,827,117,628,898,846,534,343,716,667,032,345,240,803,
933,696,094,732,477,332,109,332,832,854,828,229,665,498,954,782,684,818,712,
235,822,333,025,087,932,157,705,638,672,931,831,831,175,869,705,390,593,407,
760,228,586,724,580,630,078,718,354,502,483,540,906,209,847,626,407,256,275,
412,741,607,689,866,372,136,080,678,730,294,533,266,408,437,160,430,555,372,
426,414,958,742,692,280,840,910,886,296,057,692,715,809,144,666,961,395,544,
339,282,140,658,117,336,046,721,764,396,498,418,672,843,895,810,093,899,469,
669,947,713,283,114,833,788,407,717,043,250,316,417,192,237,915,628,259,144,
570,924,631,280,072,339,012,544,443,483,635,873,069,590,763,352,912,540,565,
387,458,076,254,202,360,556,254,434,841,821,088,648,051,911,883,391,239,478,
218,077,994,526,285,065,706,515,424,000,171,082,615,684,658,315,248,605,399,
323,624,719,013,311,257,797,629,529,524,404,792,011,689,156,366,475,611,949,
735,467,027,178,371,768,836,796,125,605,463,456,103,701,027,908,420,659,927,
411,880,544,641,400,440,001,249,435,572,462,536,440,415,796,750,711,038,143,
304,001,529,180,518,547,172,420,068,118,714,378,451,425,866,808,708,529,826,
961,182,564,143,638,864,088,331,080,575,163,934,499,872,432,916,809,127,645,
707,478,917,416,125,842,094,342,492,519,589,563,817,937,663,815,106,669,159,
555,534,815,347,622,254,052,167,369,750,036,540,831,806,571,831,032,409,586,
141,015,269,821,839,310,431,796,717,511,989,578,449,026,108,351,394,110,313,
929,773,084,747,090,858,492,615,565,420,022,822,388,036,891,284,702,957,815,
446,946,559,071,822,507,956,735,523,056,052,997,657,267,982,365,547,066,332,
957,101,829,412,327,928,911,598,361,352,111,010,715,877,941,920,767,227,387,
562,439,390,368,827,795,008,699,858,050,912,184,134,353,906,254,980,704,120,
425,765,885,128,305,816,166,653,398,829,228,294,601,756,180,327,678,805,966,
335,640,453,538,650,789,744,781,112,653,394,608,564,265,217,499,062,706,024,
434,790,372,818,579,320,037,385,876,535,466,756,518,800,620,567,685,544,492,
805,234,511,003,606,740,081,302,484,954,243,670,491,677,579,514,095,789,590,
379,611,442,280,580,892,705,914,756,393,354,270,846,307,430,463,061,600,919,
194,683,027,618,623,481,746,988,111,711,306,435,906,586,801,387,896,656,142,
285,710,789,084,690,806,101,622,116,646,583,919,573,310,639,833,497,091,135,
733,122,572,093,989,642,114,819,157,014,904,348,665,660,572,542,995,617,555,
701,933,149,123,113,880,994,258,802,186,717,885,239,005,803,178,362,990,665,
022,128,796,993,091,383,297,794,163,831,095,436,715,134,315,868,148,800,357,
447,000,541,310,537,249,035,730,483,654,073,371,676,284,965,773,993,788,739,
802,679,982,211,424,345,067,763,666,064,534,081,610,116,980,857,370,116,945,
703,381,587,389,388,848,582,094,572,682,972,248,652,293,908,967,969,271,991,
772,813,990,516,149,667,390,488,668,630,584,225,731,358,169,484,117,259,649,
422,067,244,152,947,056,433,045,109,337,433,923,190,761,844,850,782,119,317,
881,645,210,446,651,436,792,625,464,785,665,059,557,061,365,578,500,019,776,
066,317,018,795,546,713,662,997,955,270,026,171,278,411,184,270,320,923,419,
589,667,891,205,406,195,688,373,939,979,499,912,678,384,191,304,366,459,900,
438,931,078,124,934,772,306,309,089,185,937,916,409,996,209,654,543,969,763,
536,151,784,389,626,230,396,801,605,682,052,122,857,222,957,717,920,239,977,
287,658,926,717,338,785,517,377,500,569,326,265,427,645,939,847,427,932,546,
054,729,647,911,669,213,348,521,969,035,152,257,817,328,064,526,034,849,658,
228,168,597,850,634,238,843,307,449,982,159,367,745,114,286,662,274,879,920,
994,640,783,188,304,210,663,276,692,343,388,085,524,220,265,122,651,943,026,
174,180,261,690,387,881,100,101,983,360,697,163,957,160,675,266,004,699,123,
733,986,855,720,296,322,081,311,264,818,732,448,056,759,476,122,762,720,547,
976,944,875,258,323,856,926,124,394,641,328,175,007,177,074,806,924,863,144,
830,971,860,555,987,147,174,725,096,648,265,779,467,841,146,927,367,280,137,
466,505,157,939,977,834,785,521,062,905,241,277,039,044,440,069,411,531,025,
236,590,348,438,745,917,069,718,503,467,147,116,793,501,660,334,295,260,832,
536,873,848,662,251,034,912,490,676,280,285,270,724,964,521,635,516,980,434,
461,483,118,211,444,639,811,370,580,279,343,082,769,352,047,339,745,872,195,
649,103,667,326,924,761,570,396,122,107,227,374,950,346,117,898,997,567,730,
551,028,527,414,745,468,064,993,090,103,649,512,455,627,321,538,163,226,061,
557,717,918,991,553,903,458,057,884,314,698,386,931,918,456,378,412,096,560,
558,991,513,836,624,406,086,586,192,128,577,358,613,756,455,092,881,970,984,
343,696,128,662,157,547,077,810,998,883,870,694,084,264,200,365,350,683,022,
670,310,567,979,042,688,007,384,714,108,819,296,890,373,517,144,495,020,773,
679,514,356,125,408,757,969,268,412,027,255,122,860,355,304,279,599,699,457,
540,590,343,128,427,283,005,914,442,499,726,978,208,126,542,780,139,195,964,
384,663,310,648,843,754,592,205,681,090,236,261,076,637,510,316,433,020,153,
684,343,781,802,154,286,281,656,633,221,190,384,889,393,641,434,656,379,553,
541,202,736,214,817,129,924,029,277,329,531,180,856,680,293,429,941,236,408,
644,286,357,571,121,857,853,392,588,167,711,302,917,990,012,147,443,289,807,
992,783,761,891,300,586,509,126,532,859,127,883,202,612,227,874,632,085,458,
944,643,602,457,576,061,901,420,645,167,349,590,113,219,432,350,648,676,223,
194,710,082,358,550,516,479,288,648,978,718,455,871,478,301,889,360,952,870,
939,806,301,064,847,240,358,462,814,034,520,293,568,423,569,414,193,617,816,
291,148,229,075,625,685,664,275,706,454,995,971,603,340,197,534,823,235,141,
872,760,820,182,657,738,084,178,395,555,937,896,271,659,026,196,579,571,247,
263,462,043,097,725,366,961,621,094,090,489,880,703,170,813,843,902,983,247,
919,303,432,653,267,472,821,948,924,480,128,653,365,168,884,653,209,395,823,
419,360,690,437,811,776,928,612,484,875,842,736,256,175,686,730,924,729,304,
835,279,727,648,139,362,825,098,507,301,546,613,570,180,463,574,099,835,751,
020,384,972,838,879,154,328,866,245,975,228,833,536,363,037,687,676,876,660,
443,538,448,512,230,426,282,332,938,301,282,597,080,359,656,009,481,506,323,
078,903,473,232,695,027,440,570,766,382,840,967,926,916,502,858,166,177,824,
969,283,210,695,708,356,913,146,456,572,381,430,799,090,251,602,355,908,439,
958,973,947,758,902,176,939,199,722,726,812,129,526,732,282,745,800,942,211,
261,086,729,860,731,661,969,227,862,369,472,116,233,393,878,407,425,834,260,
566,428,899,908,371,045,485,503,780,604,377,694,734,018,041,422,488,627,017,
150,763,327,064,198,869,644,288,435,301,989,647,660,290,643,998,773,348,842,
612,902,432,876,202,090,507,582,287,345,891,657,806,006,179,373,518,091,885,
483,669,052,087,492,679,805,177,103,819,608,595,108,980,538,257,904,521,842,
598,708,665,208,230,708,724,155,264,474,027,504,613,129,869,806,180,431,332,
943,418,602,353,260,802,491,778,754,389,672,158,941,724,071,096,201,073,285,
587,770,662,078,535,930,990,170,079,059,657,850,891,757,671,441,392,882,084,
615,323,295,338,071,839,963,999,192,172,359,994,309,548,136,484,166,753,519,
589,722,560,284,871,733,523,675,032,007,969,199,285,396,309,435,064,476,417,
105,753,395,270,215,378,455,168,281,789,868,569,311,182,826,841,990,401,608,
107,916,931,375,946,195,296,083,760,377,402,557,822,565,538,505,874,431,143,
300,387,209,837,828,396,792,639,808,881,949,013,898,962,519,750,125,091,283,
982,600,352,893,667,007,914,319,651,660,396,458,085,133,079,272,358,129,491,
798,341,379,179,482,492,893,054,315,598,076,729,378,479,289,357,354,997,811,
349,879,051,120,721,484,609,624,459,162,689,789,433,353,702,793,618,048,916,
706,069,850,667,002,338,079,270,868,636,758,133,693,753,802,365,863,414,293,
303,043,787,010,577,071,332,886,303,647,648,239,042,458,816,717,839,823,426,
367,256,412,015,555,748,411,695,223,189,898,098,136,118,695,906,109,919,837,
674,615,485,690,268,919,170,302,998,832,141,515,080,520,836,853,361,630,075,
926,403,630,549,881,045,031,415,989,267,010,339,871,330,136,070,147,876,451,
126,325,928,122,793,507,175,095,386,227,379,988,799,017,123,595,193,856,373,
724,843,500,004,637,600,529,156,597,808,093,163,274,042,523,546,667,236,825,
732,116,140,925,398,850,678,458,982,601,033,402,503,421,590,052,023,399,070,
596,792,199,471,675,979,116,557,514,819,088,911,228,432,935,100,029,705,209,
328,142,902,943,544,430,158,854,675,083,611,876,136,079,002,548,302,192,576,
383,835,607,822,024,592,663,634,516,010,208,215,386,431,516,033,710,757,206,
246,238,581,824,503,692,642,745,593,217,218,599,649,991,062,483,990,633,800,
109,405,711,895,283,002,791,316,106,088,112,509,094,683,870,962,238,874,599,
929,611,822,374,821,254,603,177,411,880,461,704,245,870,134,267,999,513,087,
694,229,289,690,729,381,616,212,548,265,116,471,177,099,920,533,862,812,798,
061,597,374,016,132,148,492,389,921,325,584,170,466,488,409,090,255,617,078,
359,838,325,845,187,835,965,276,802,456,928,937,075,141,808,311,900,916,917,
473,362,291,895,678,770,734,293,837,376,910,242,989,015,374,603,315,338,904,
607,610,517,692,675,504,776,078,536,202,221,647,535,838,577,741,631,326,284,
566,648,251,304,929,497,214,639,828,712,718,033,995,125,738,392,549,619,294,
283,331,672,969,586,492,134,377,176,407,806,038,472,869,333,822,880,129,432,
286,127,429,733,748,997,988,306,282,682,932,055,402,473,573,634,594,637,668,
103,544,129,339,971,698,121,223,455,111,028,885,671,110,051,961,058,154,806,
673,812,248,218,823,859,056,813,510,640,673,098,848,225,660,244,989,458,568,
688,491,485,419,592,113,685,515,470,876,787,676,914,009,026,467,755,407,943,
932,920,652,741,478,771,373,645,333,436,169,626,104,886,789,627,589,063,474,
851,461,391,442,922,991,694,338,768,143,123,957,187,918,366,075,099,978,191,
777,687,750,378,213,891,550,566,238,065,785,254,224,474,477,858,582,577,975,
589,498,918,007,698,939,854,031,971,093,121,873,865,397,415,092,721,311,065,
831,574,948,831,171,338,136,942,073,204,470,496,941,378,152,964,565,579,572,
948,119,731,972,643,976,789,058,527,425,387,653,637,370,780,830,084,292,109,
888,239,824,348,158,747,345,845,558,984,045,504,694,399,244,249,473,769,030,
726,571,895,244,222,955,503,958,565,666,657,771,837,951,992,696,623,288,533,
331,396,129,835,199,790,307,795,499,185,951,682,762,016,778,864,616,459,491,
337,260,330,362,901,482,863,509,200,311,161,651,654,526,304,394,286,975,178,
234,458,336,028,920,603,600,206,939,979,380,983,761,993,979,049,596,753,078,
376,080,268,754,029,545,120,797,012,038,221,783,051,909,840,735,855,112,261,
621,524,559,965,056,781,169,682,570,928,721,958,448,344,690,590,705,189,014,
860,418,304,851,455,999,865,693,876,010,512,107,341,917,652,758,588,917,975,
601,679,845,388,983,322,448,837,313,013,395,396,846,794,178,760,015,764,122,
244,099,461,216,032,753,657,938,854,855,985,179,855,620,083,496,570,156,111,
579,016,648,289,985,994,658,585,722,424,401,844,064,530,323,584,952,188,645,
783,098,867,022,447,340,715,453,314,711,817,212,533,502,524,325,426,876,367,
314,388,587,707,793,761,440,625,833,680,181,283,844,304,610,986,397,366,820,
594,943,919,487,197,560,947,143,882,488,368,949,585,665,557,202,706,158,570,
344,327,939,593,580,820,548,367,032,161,917,424,243,930,338,194,235,130,600,
322,524,156,807,046,875,438,334,790,378,090,647,679,841,018,152,086,224,280,
390,721,624,717,217,686,556,189,050,714,001,497,800,027,991,909,003,840,765,
352,508,079,173,389,834,278,967,599,409,462,597,508,814,276,720,734,591,428,
643,874,798,761,277,421,579,634,902,043,461,916,377,528,396,299,264,678,020,
050,011,211,392,742,799,976,309,302,022,697,495,421,199,533,501,540,717,925,
420,991,035,266,599,675,607,746,491,904,714,216,045,438,387,194,955,508,028,
036,555,070,069,940,083,112,306,428,956,396,788,295,884,747,585,615,026,122,
845,577,554,457,797,137,106,832,930,698,217,958,136,197,665,701,460,218,981,
081,759,379,416,397,386,219,590,886,336,912,398,353,618,893,587,468,598,016,
337,981,226,866,503,697,645,048,043,979,334,645,493,772,224,331,455,841,358,
853,363,726,605,285,305,264,664,927,492,460,978,793,199,064,224,664,491,856,
774,617,914,349,501,477,899,253,743,065,478,073,028,016,861,637,087,345,156,
675,938,914,940,821,209,932,673,057,063,989,982,593,633,329,714,181,877,506,
666,921,251,857,818,587,996,949,383,135,176,284,434,272,061,242,116,534,138,
405,540,918,240,962,099,221,120,602,055,180,789,276,157,826,625,817,051,860,
164,233,377,310,150,219,789,384,914,060,424,208,751,630,772,265,946,922,166,
158,286,937,088,915,335,134,552,603,274,496,503,941,465,709,713,684,016,089,
024,278,430,770,722,648,734,080,402,947,008,943,519,861,944,262,876,041,750,
345,268,687,177,601,707,555,914,416,488,872,163,737,017,888,421,732,973,406,
134,410,345,234,324,416,443,513,354,479,015,379,357,290,786,431,276,043,495,
758,868,729,587,361,213,808,335,203,855,849,559,136,830,738,382,774,774,748,
335,990,252,515,130,759,342,117,570,384,678,875,420,397,543,654,577,375,403,
593,804,520,776,260,763,310,171,569,540,931,307,434,233,456,288,252,521,121,
599,519,656,585,376,145,616,395,487,303,120,400,556,085,293,473,263,677,786,
790,111,677,034,975,174,008,772,682,364,903,871,331,225,208,440,747,791,376,
834,345,525,000,807,669,212,889,489,804,630,940,190,138,479,076,631,513,682,
772,004,911,006,156,489,720,856,060,543,247,243,783,204,231,800,802,080,037,
438,642,764,841,378,698,152,377,448,632,759,190,645,529,403,080,664,315,041,
892,626,481,459,529,066,611,886,930,708,915,180,208,961,834,937,968,818,411,
202,127,470,313,897,692,617,862,046,936,592,500,019,250,489,827,423,035,533,
341,646,749,979,712,676,624,144,659,972,517,088,846,494,913,265,962,409,661,
094,574,430,423,568,547,850,144,581,286,886,262,348,950,647,174,458,995,049,
103,239,315,906,747,577,468,814,135,232,214,263,956,521,182,040,148,293,310,
917,354,581,070,792,382,215,201,154,583,237,758,042,894,842,912,422,103,740,
012,028,678,565,664,822,400,201,903,748,780,277,326,136,274,387,260,229,925,
297,690,891,032,114,456,950,835,012,033,841,063,648,774,558,450,981,305,605,
302,135,921,613,328,737,997,550,882,790,070,211,121,245,829,648,186,818,231,
993,256,877,190,575,323,417,129,873,446,474,133,981,759,326,096,128,903,865,
092,150,551,535,678,377,298,430,146,184,800,031,328,676,352,336,495,520,986,
701,697,025,111,979,643,806,724,640,835,661,059,952,693,825,591,068,077,752,
469,704,251,759,382,219,366,804,226,019,665,784,841,909,664,032,881,739,322,
211,030,717,881,875,628,232,315,681,927,016,791,182,135,058,777,782,738,552,
316,711,203,290,874,741,537,486,227,971,112,095,325,768,785,085,216,156,015,
321,686,225,440,598,677,053,669,028,275,466,284,790,366,539,953,063,158,277,
416,338,105,277,055,393,631,929,649,892,435,830,780,708,338,478,509,332,713,
193,163,409,055,155,786,740,622,747,422,053,623,647,520,105,753,407,356,744,
066,001,529,852,817,809,199,555,602,851,539,351,544,527,853,716,369,937,725,
464,870,227,421,917,727,530,015,269,414,342,172,568,828,693,125,309,401,859,
074,980,562,574,218,572,488,359,504,015,702,698,399,083,336,850,915,293,418,
243,687,902,698,465,973,008,858,968,041,067,890,419,420,594,307,166,969,890,
214,860,869,153,396,012,999,314,454,809,500,586,718,433,707,351,093,066,958,
956,434,978,898,570,964,602,425,932,804,844,275,959,760,713,482,148,616,025,
719,503,230,146,517,661,092,785,216,197,846,019,016,772,351,093,273,139,159,
590,370,721,569,138,489,832,703,213,687,354,110,244,240,571,385,966,526,249,
603,957,630,250,824,710,816,080,247,037,530,076,266,514,670,535,677,799,266,
992,084,589,153,879,990,675,923,169,570,753,254,827,469,785,195,904,552,006,
258,372,441,110,309,378,771,858,386,000,548,627,769,426,927,604,348,222,218,
993,936,200,595,995,400,659,653,646,752,228,834,600,117,526,340,352,437,333,
802,935,405,309,271,504,179,043,720,673,429,030,246,652,416,546,816,645,128,
807,059,921,162,807,716,035,383,902,673,897,926,214,634,657,264,389,760,150,
795,762,962,649,864,912,193,511,745,087,992,769,148,923,091,752,214,257,934,
337,869,016,561,196,134,129,178,035,480,471,197,323,922,336,783,392,639,136,
485,070,426,723,744,401,431,337,791,061,443,446,344,113,165,271,258,166,868,
726,813,527,943,200,806,562,237,269,127,653,369,121,440,946,702,600,720,658,
311,901,675,775,522,274,543,799,702,052,769,773,504,253,900,048,593,504,108,
627,883,017,682,588,714,459,381,661,720,233,434,301,478,790,249,771,031,664,
419,682,615,873,324,578,980,954,521,863,729,849,851,185,964,015,302,234,421,
203,300,357,191,857,233,743,468,786,270,453,577,995,872,937,083,302,406,460,
845,429,143,337,598,235,802,761,316,082,319,170,507,033,159,708,848,163,872,
560,113,571,105,434,474,927,071,577,680,636,963,384,499,697,449,681,846,813,
162,249,294,732,830,408,650,479,841,361,800,308,040,527,656,079,621,916,243,
515,449,607,091,954,341,657,287,354,659,464,478,711,363,669,111,820,985,786,
358,959,650,908,658,105,343,847,316,262,539,281,622,852,056,737,688,346,691,
892,444,974,281,297,724,779,918,172,239,138,117,245,084,492,751,378,682,205,
295,601,730,260,546,406,613,886,062,257,095,919,853,245,048,608,344,695,720,
555,623,021,321,447,142,501,433,240,260,123,562,692,390,777,923,476,681,186,
446,278,180,941,728,559,753,661,878,614,006,350,241,915,631,876,477,900,597,
421,020,951,874,757,248,406,005,715,672,489,772,373,547,334,570,721,795,656,
011,187,392,637,598,699,097,406,708,449,499,251,111,154,268,522,365,364,790,
052,898,355,471,442,157,099,427,895,252,425,452,549,872,208,551,097,010,453,
911,836,171,413,164,130,211,399,939,003,356,100,546,352,860,222,968,589,779,
127,999,122,564,435,322,882,354,318,751,819,044,263,699,850,957,521,433,174,
134,516,869,616,006,141,529,443,475,102,754,963,049,970,663,356,721,943,258,
592,915,840,668,756,483,194,401,548,657,703,225,411,006,677,751,934,259,130,
383,645,934,748,828,315,747,624,327,643,785,330,108,812,507,603,054,595,340,
751,364,837,631,735,702,457,767,610,356,769,015,361,200,600,861,146,009,130,
419,567,326,695,720,222,317,412,642,543,683,309,309,822,836,364,222,072,598,
893,569,517,457,246,046,315,454,357,318,877,175,251,051,637,543,551,163,286,
711,667,082,707,600,281,829,339,503,594,610,893,973,401,155,470,435,008,903,
026,194,316,295,861,983,946,580,342,532,683,364,248,250,053,096,400,908,037,
277,034,149,521,018,460,189,991,293,456,837,919,291,695,593,852,438,390,864,
781,322,931,433,071,816,414,223,992,697,640,664,618,460,615,214,530,278,052,
276,332,328,383,643,470,855,753,241,881,258,665,386,058,044,941,730,805,623,
720,220,368,040,717,217,640,680,566,244,689,140,153,468,947,407,939,773,235,
380,760,423,378,749,090,798,707,883,451,197,576,729,064,262,901,887,274,869,
573,157,867,306,299,884,002,784,145,893,289,281,474,963,783,268,002,736,932,
573,372,786,216,853,669,731,486,202,512,936,773,344,289,768,268,191,358,879,
516,720,768,839,052,417,995,572,062,003,224,766,179,220,393,312,122,272,136,
677,431,954,787,443,839,463,213,917,826,349,910,884,396,279,295,158,993,599,
001,837,935,797,764,238,105,971,277,201,974,817,180,040,343,799,986,051,564,
821,595,227,881,005,162,968,098,802,994,085,945,516,336,805,854,792,457,357,
749,503,824,913,937,188,173,839,329,136,835,332,093,765,621,988,192,262,130,
172,789,007,996,482,808,378,885,206,478,485,807,274,532,376,605,725,759,588,
054,648,885,002,881,656,480,071,249,650,117,706,457,243,710,325,376,771,056,
461,261,322,472,050,134,955,184,438,340,539,722,527,855,144,990,578,461,592,
587,891,432,690,519,544,367,488,136,421,435,313,422,194,129,015,282,806,210,
174,646,141,766,588,867,992,392,167,954,015,759,804,869,164,561,184,241,718,
479,304,132,958,499,699,841,677,591,657,711,993,274,256,434,853,740,365,666,
864,703,764,990,592,613,013,990,127,156,078,747,519,750,973,054,858,206,339,
330,536,039,575,279,104,914,206,041,842,126,867,342,357,821,302,071,354,184,
240,878,751,167,052,051,322,883,070,182,953,502,874,838,610,974,797,695,013,
943,512,575,618,451,200,151,267,705,586,789,527,539,210,388,757,316,745,122,
363,483,688,349,421,429,743,271,291,546,753,126,573,072,868,263,387,077,626,
634,354,391,133,298,299,445,749,595,090,878,779,852,753,209,239,996,369,806,
798,533,346,328,559,150,920,727,675,719,353,804,534,528,193,474,039,244,171,
839,069,445,331,350,507,134,689,116,230,983,403,574,218,429,642,034,595,344,
960,856,217,946,735,879,838,958,507,984,574,763,011,527,102,491,085,943,837,
565,064,988,113,874,865,833,888,007,904,177,560,447,517,403,977,310,719,520,
548,591,628,260,042,252,020,525,336,622,913,435,022,988,658,140,324,896,822,
105,356,299,356,640,669,287,606,347,509,963,569,017,091,004,397,771,927,165,
308,767,479,167,134,275,315,277,328,599,148,047,837,135,141,872,165,117,640,
858,223,795,032,727,658,912,707,320,434,592,959,495,436,877,696,596,983,673,
923,148,286,387,144,775,180,284,564,789,583,807,259,410,276,064,683,713,194,
328,873,645,492,568,673,157,341,816,348,443,744,135,699,963,657,409,775,787,
497,288,113,386,313,512,587,935,214,744,110,109,142,671,183,704,267,968,125,
001,949,907,201,760,033,401,553,763,344,727,446,952,587,963,491,672,006,232,
210,749,670,786,624,126,055,381,020,228,844,892,847,220,842,124,248,713,414,
545,752,977,020,121,422,379,417,686,833,798,784,091,582,199,145,900,647,403,
119,203,141,132,688,253,340,348,595,610,355,611,345,340,593,384,207,743,790,
813,602,538,149,661,077,080,602,353,615,716,016,565,592,664,595,978,765,640,
011,954,526,609,663,030,501,589,631,910,726,767,976,348,764,427,588,672,698,
414,253,339,762,709,204,283,910,495,015,018,000,349,053,152,279,796,946,732,
297,049,726,626,356,112,570,220,633,000,753,620,259,832,572,814,775,192,531,
712,904,648,069,156,396,185,884,180,397,805,632,663,366,594,006,568,455,312,
842,517,984,661,397,021,123,279,979,735,007,971,446,136,601,510,858,724,702,
765,348,090,817,163,401,631,658,502,722,373,457,087,823,390,501,973,594,327,
890,272,405,473,011,202,210,614,635,990,159,050,230,605,938,879,142,115,876,
870,631,403,542,565,696,751,528,650,336,076,129,694,716,096,677,708,358,828,
174,256,882,144,999,263,463,250,828,647,023,509,013,498,937,818,097,369,160,
749,703,348,927,956,142,417,396,818,626,099,060,598,520,486,754,070,326,854,
044,460,131,862,600,435,311,399,572,880,571,217,196,971,088,025,785,674,140,
080,947,804,033,082,875,321,186,685,015,280,390,895,889,035,946,746,540,931,
275,581,428,080,493,055,924,205,249,751,818,395,242,345,683,385,073,014,215,
182,984,468,913,101,883,474,379,707,779,214,258,612,697,435,256,816,752,640,
798,191,982,321,735,354,607,084,517,720,884,495,259,254,202,004,615,514,245,
403,410,243,069,165,318,480,820,394,447,705,573,025,244,345,623,639,094,804,
039,385,384,599,946,469,225,280,175,685,662,997,223,521,991,451,947,532,049,
960,065,364,772,616,334,389,638,800,692,496,613,067,103,045,814,591,160,947,
698,764,883,044,914,796,519,512,499,662,207,947,715,120,373,909,581,031,245,
676,362,837,101,920,416,333,273,006,571,517,429,815,270,730,288,162,716,513,
734,316,376,144,279,277,604,988,319,107,021,663,255,475,613,409,049,750,000,
061,154,189,878,561,794,167,825,647,174,767,953,773,123,370,566,854,844,757,
425,605,047,436,817,482,497,356,832,667,775,096,356,008,516,323,837,233,339,
538,880,977,505,359,914,067,736,549,135,967,453,595,403,513,099,427,875,904,
132,846,965,631,454,844,893,013,165,543,292,632,949,858,013,240,382,462,354,
398,479,731,419,349,601,508,370,637,585,765,621,767,346,109,068,721,844,811,
513,745,661,605,322,303,718,765,397,083,011,973,535,698,383,610,842,436,441,
274,258,544,397,040,250,037,917,206,559,642,413,703,440,125,201,899,628,718,
951,464,789,228,716,199,772,105,207,267,929,630,103,831,288,992,703,658,200,
599,678,879,285,730,173,624,726,407,688,623,909,600,599,141,196,455,826,419,
446,949,868,174,800,881,330,568,967,642,534,005,208,108,880,026,798,651,634,
447,863,092,725,172,010,074,602,139,532,088,572,304,722,455,843,576,635,193,
425,293,157,718,719,576,580,521,429,812,881,402,997,110,923,144,038,255,815,
722,509,216,009,036,117,756,059,960,800,962,047,841,312,509,644,771,844,085,
123,532,376,534,726,954,629,915,649,152,566,360,587,830,421,039,706,141,796,
485,260,128,269,951,982,953,845,310,373,159,347,555,742,017,035,085,302,685,
520,353,720,607,668,929,556,701,235,239,752,559,719,057,679,725,899,633,853,
905,172,059,891,328,092,654,342,976,161,274,851,679,633,963,094,351,393,828,
697,586,149,259,783,844,361,425,460,523,093,114,587,312,991,185,716,883,316,
999,458,654,861,153,960,984,462,776,917,092,124,489,984,614,183,212,547,234,
705,096,115,194,659,827,731,566,741,279,987,841,718,526,494,204,785,418,476,
985,301,827,208,673,615,921,260,985,355,260,859,721,959,036,154,566,153,671,
241,310,885,661,816,361,025,386,780,087,459,711,372,209,270,981,200,178,151,
006,813,463,216,378,562,323,796,802,542,251,112,229,337,148,804,791,528,633,
390,000,419,168,548,910,596,070,350,103,868,559,750,451,304,994,792,749,715,
578,969,591,664,788,538,327,821,064,821,924,170,823,319,487,590,058,688,111,
077,181,066,703,490,981,183,757,770,680,759,569,615,877,456,014,685,199,129,
547,217,055,596,167,719,091,557,711,603,004,506,050,091,691,033,618,646,142,
591,687,632,822,568,065,171,749,922,793,318,960,277,381,550,941,527,110,488,
822,639,012,738,234,068,269,934,622,526,486,561,242,364,964,172,109,065,700,
496,079,758,777,539,495,237,947,733,217,465,691,321,754,513,835,805,113,405,
301,168,620,416,658,968,907,530,464,108,294,502,435,845,636,249,909,705,736,
273,796,045,998,943,449,684,098,843,027,501,047,467,143,035,043,837,363,074,
881,546,508,985,919,846,104,021,936,764,270,627,890,237,192,708,832,911,233,
439,965,763,577,510,207,170,331,749,654,930,418,150,338,499,171,996,878,569,
896,681,624,383,032,776,486,277,251,197,371,666,662,624,746,556,238,504,932,
910,890,326,842,459,844,631,530,225,619,570,563,676,260,230,644,349,009,740,
503,031,702,432,668,636,549,165,507,555,103,917,801,181,582,999,030,332,769,
802,739,493,447,048,028,304,633,220,440,976,591,739,994,077,064,547,328,081,
011,777,299,034,254,977,064,793,980,087,718,883,306,950,998,466,772,303,472,
363,882,581,025,684,477,067,953,838,509,375,901,769,851,926,951,520,079,127,
715,014,897,253,477,436,732,928,049,717,252,281,971,093,156,058,206,496,584,
871,279,495,887,131,606,583,744,561,073,090,948,354,732,204,488,633,104,689,
810,628,230,126,052,271,077,618,151,901,530,193,801,256,001,309,631,661,675,
264,055,868,642,022,371,921,185,811,687,129,108,287,983,357,330,620,373,900,
034,237,864,469,521,956,472,552,327,171,338,821,116,661,974,310,866,464,227,
401,077,928,666,568,959,448,114,972,602,586,334,618,455,657,785,457,303,513,
207,092,194,858,867,449,465,814,865,631,362,776,745,601,069,213,941,830,461,
229,181,586,330,978,718,776,117,393,516,216,908,481,299,916,309,244,606,194,
996,675,091,217,621,432,326,534,570,284,455,795,911,601,732,557,159,773,310,
501,670,659,757,430,343,266,644,180,397,292,340,210,098,030,313,961,123,189,
396,257,091,913,183,655,607,436,131,829,619,906,492,121,406,695,033,703,712,
649,051,723,031,737,402,726,714,317,250,886,960,158,989,448,433,749,061,673,
839,050,777,453,417,818,173,739,708,629,062,821,054,498,651,175,015,213,246,
774,384,479,894,654,621,149,814,529,523,130,035,409,294,014,472,848,279,253,
848,084,149,460,868,034,566,940,422,131,843,127,814,750,966,568,172,371,042,
650,702,102,909,701,624,838,163,253,087,802,127,873,111,755,927,175,710,212,
430,250,865,898,742,595,742,954,407,215,813,789,095,530,386,312,308,170,178,
382,874,338,312,826,545,030,664,891,226,335,904,428,180,776,575,386,916,099,
186,172,510,028,357,686,372,369,589,341,448,735,932,374,845,131,111,587,740,
116,148,056,126,479,413,053,734,719,792,249,053,533,084,872,621,238,547,927,
687,800,345,543,044,851,815,500,538,051,812,835,731,856,892,165,667,589,920,
171,620,889,978,969,781,483,471,242,419,173,346,054,411,749,661,234,100,339,
731,497,814,589,749,336,446,452,806,924,600,454,122,455,733,762,729,799,838,
398,030,708,848,510,587,350,409,687,333,767,929,322,708,001,500,188,954,846,
826,352,444,731,765,949,536,686,575,259,163,281,346,013,802,426,486,719,394,
217,475,075,947,663,377,656,115,394,097,092,962,799,608,627,777,859,317,460,
485,750,850,155,867,800,808,755,694,226,671,683,954,268,139,670,762,598,521,
577,767,647,880,396,038,828,814,056,001,700,180,928,248,418,010,586,259,738,
906,657,978,568,853,689,069,792,726,384,891,858,271,749,113,462,539,750,068,
364,776,050,515,469,149,265,722,456,607,880,456,459,855,227,981,512,404,981,
561,542,300,747,154,558,190,024,545,835,465,243,944,278,608,505,544,129,145,
319,882,899,677,205,151,191,539,812,383,021,901,188,346,899,653,037,107,806,
994,342,463,551,356,112,386,499,168,470,998,465,109,240,437,566,799,167,746,
048,473,247,254,929,056,468,049,828,754,200,873,165,186,945,937,964,182,417,
692,126,785,954,598,777,665,421,647,433,893,095,926,391,206,462,215,056,326,
097,081,013,705,428,904,126,747,478,333,142,374,909,225,732,429,042,273,335,
635,495,396,978,929,172,391,036,436,794,908,305,226,232,823,947,013,256,091,
281,212,775,980,982,304,806,935,759,889,670,218,252,529,914,312,146,893,179,
085,606,115,893,122,046,190,869,281,188,757,292,913,146,339,407,851,097,062,
779,704,496,774,766,800,238,102,549,486,667,497,688,882,018,497,602,432,914,
881,439,770,069,276,571,291,656,573,111,867,962,734,939,656,537,706,885,967,
718,050,757,458,334,379,243,903,377,013,683,612,995,197,660,241,868,824,072,
379,889,313,839,228,347,251,808,347,060,470,498,707,124,476,801,506,050,260,
325,844,909,218,548,262,194,428,508,116,897,024,125,962,971,134,746,175,598,
211,507,607,265,724,806,277,391,377,242,835,432,588,163,953,095,578,988,664,
020,182,149,510,699,874,751,517,775,706,430,845,057,229,559,672,171,479,840,
021,064,998,066,089,410,729,086,471,308,713,790,062,485,597,295,981,498,465,
087,740,804,484,142,630,792,786,595,892,008,895,695,404,775,899,855,079,643,
149,012,602,738,881,323,781,783,876,996,536,160,309,599,589,960,195,285,538,
088,245,019,421,460,010,279,744,718,246,738,562,173,064,216,623,100,753,862,
042,604,666,302,715,179,513,799,066,306,836,251,207,655,227,567,805,615,172,
075,521,393,282,927,664,168,959,613,422,906,599,825,425,583,013,360,066,283,
027,582,578,654,330,496,360,997,402,180,511,307,772,361,121,791,131,133,675,
915,550,140,069,846,494,206,205,551,277,467,056,153,545,701,512,076,478,847,
886,169,195,497,766,392,202,499,010,803,960,062,446,631,720,582,937,733,866,
977,823,755,420,938,948,168,529,177,948,280,584,678,386,874,944,739,412,430,
638,150,972,825,697,421,862,840,624,216,787,443,061,151,202,123,498,993,298,
357,341,558,352,776,643,662,081,580,054,377,942,055,292,111,077,327,097,472,
707,510,603,596,195,649,620,200,072,901,816,379,842,363,647,739,970,601,547,
340,133,562,927,869,805,036,997,786,216,556,486,965,635,390,232,295,821,218,
711,620,830,026,972,716,140,153,917,525,292,011,953,077,335,351,135,974,230,
300,235,480,040,992,657,285,277,115,824,477,951,954,347,459,628,336,787,934,
510,575,825,296,177,837,654,001,656,051,366,815,777,139,946,043,069,678,711,
715,293,494,503,569,757,301,203,283,893,831,034,453,702,010,592,132,597,618,
221,017,436,933,110,866,983,790,828,212,934,365,906,584,104,712,155,382,590,
192,542,988,295,577,582,720,364,133,925,719,802,913,262,235,898,918,712,491,
279,945,774,973,765,280,110,869,154,624,047,380,801,327,501,257,522,004,721,
727,868,376,049,052,548,444,890,227,335,946,121,514,324,959,034,756,211,087,
092,699,781,696,300,744,562,774,998,298,480,932,416,247,701,892,155,651,884,
466,777,512,686,972,071,683,646,950,047,113,956,174,083,303,655,820,563,425,
019,082,182,983,963,086,838,049,995,940,717,735,153,349,351,340,476,769,791,
728,015,292,131,984,000,199,476,213,286,815,664,046,506,217,739,233,710,000,
382,188,335,757,698,946,486,227,744,160,054,977,837,474,705,180,084,690,324,
930,602,532,421,042,189,993,666,116,683,825,514,325,603,387,639,837,869,847,
750,394,288,321,113,661,299,876,342,966,751,443,612,261,799,171,885,977,705,
572,825,647,057,862,419,652,277,875,514,639,344,344,407,961,252,294,905,264,
115,166,511,247,626,410,884,536,208,293,864,269,170,993,750,633,513,924,117,
242,313,075,640,144,992,983,332,152,893,913,268,661,383,703,769,032,798,895,
621,700,553,670,254,666,138,535,608,846,142,102,663,007,873,698,534,821,753,
929,251,438,260,072,395,189,527,014,609,488,122,957,882,970,244,937,220,005,
345,205,910,209,756,434,771,105,527,646,834,042,481,018,103,009,811,988,643,
617,029,768,489,222,536,002,069,574,865,978,417,956,314,250,256,948,337,981,
188,394,430,422,444,652,716,396,323,618,808,785,242,396,369,411,909,197,905,
144,161,050,910,020,328,498,703,646,248,344,035,930,659,627,022,174,392,309,
977,902,549,831,303,816,282,824,980,373,912,297,886,863,936,361,344,355,143,
911,055,051,048,737,463,551,299,230,246,493,242,830,237,020,142,380,708,420,
172,453,569,534,784,938,126,518,199,230,722,222,233,363,694,496,129,950,097,
619,594,579,242,275,164,027,177,804,960,587,909,341,146,110,939,463,892,297,
657,342,835,523,260,816,984,480,043,992,492,076,256,768,474,642,781,845,489,
266,627,377,767,308,282,624,383,339,490,759,201,274,511,367,981,170,131,672,
205,282,453,612,117,465,536,886,594,450,307,607,997,488,627,406,448,663,471,
596,350,576,284,648,493,959,378,996,006,316,549,304,625,299,658,065,520,879,
384,528,987,029,904,668,064,421,407,671,666,556,476,058,537,581,326,690,455,
418,836,129,685,157,202,775,660,653,794,354,102,019,439,555,027,659,365,185,
529,703,750,506,048,522,248,051,520,075,041,324,336,031,009,286,404,246,978,
183,040,995,743,384,968,507,169,843,063,759,224,391,111,164,750,555,746,435,
865,225,524,444,917,980,012,739,981,221,250,798,143,991,773,410,618,756,745,
223,070,936,015,338,293,481,572,653,946,386,484,454,958,845,439,702,717,447,
953,302,438,779,320,550,719,785,324,323,844,503,962,629,408,631,998,006,986,
884,117,281,584,796,901,412,124,982,493,550,576,649,787,316,689,653,701,744,
097,103,078,986,760,343,217,185,446,482,090,853,648,993,668,687,906,851,406,
677,927,727,110,936,487,444,663,296,842,008,961,706,549,392,823,827,592,486,
465,671,096,286,682,576,135,223,254,025,656,813,440,808,317,745,645,314,652,
339,464,255,033,541,077,126,681,741,204,987,182,599,704,003,931,017,317,725,
125,158,696,267,380,696,577,612,650,462,011,608,928,053,106,748,477,066,723,
686,824,067,067,783,088,717,526,064,729,580,356,331,228,617,378,668,961,462,
944,032,914,202,968,309,580,709,882,794,034,333,885,799,323,529,834,010,458,
554,376,406,523,438,300,820,543,319,220,787,199,144,813,143,997,761,354,495,
977,957,908,952,199,507,930,447,949,832,818,269,676,065,325,237,252,689,422,
183,459,408,720,904,932,211,195,329,987,479,305,913,887,810,079,614,169,232,
720,482,551,235,861,433,034,885,194,594,317,096,481,131,042,348,144,200,512,
224,907,221,162,623,607,136,320,096,155,749,155,967,515,449,334,176,265,537,
485,334,915,035,013,452,394,593,352,227,078,440,725,077,286,953,200,697,701,
060,148,248,702,561,183,820,479,273,027,698,317,709,479,787,865,324,111,071,
380,105,114,601,213,934,491,452,228,217,423,465,006,592,902,815,622,641,119,
114,671,622,980,373,627,683,013,505,365,506,932,378,496,872,327,619,416,054,
237,495,601,731,374,269,086,812,466,447,006,053,467,544,854,149,958,355,687,
159,929,815,563,041,975,255,849,582,100,638,967,660,396,832,124,254,074,579,
592,060,326,114,648,877,312,520,049,662,815,918,758,668,335,972,386,523,621,
078,507,937,771,392,619,707,040,402,097,115,063,565,347,771,738,498,895,212,
028,634,428,518,240,384,604,813,974,564,528,962,644,016,649,901,448,238,959,
829,541,742,150,821,582,576,868,984,925,695,851,658,942,382,996,124,697,378,
602,878,334,179,879,417,808,331,335,739,266,648,664,007,020,200,984,627,424,
038,440,905,491,926,988,002,912,918,749,145,324,050,571,754,694,697,384,736,
964,645,413,818,098,064,828,693,907,185,989,437,593,589,496,153,357,713,501,
287,301,018,930,941,983,220,654,095,967,665,632,437,393,269,084,962,128,525,
539,276,495,961,883,336,096,321,061,057,673,577,023,679,075,289,530,858,265,
028,458,005,340,664,263,762,346,285,412,146,420,892,500,059,705,326,956,873,
267,609,138,467,484,069,011,120,632,181,359,857,488,754,647,962,542,850,046,
593,551,133,324,901,359,229,311,865,690,912,485,062,079,502,969,789,687,670,
262,498,243,228,394,046,652,394,353,845,502,211,679,198,653,913,882,760,559,
192,686,821,178,392,861,109,521,169,712,398,336,686,917,569,481,255,504,234,
738,831,942,963,284,632,917,445,343,750,672,799,109,353,087,130,000,344,726,
729,225,309,835,417,829,454,163,362,254,025,151,890,171,162,050,599,703,210,
719,980,602,632,701,908,657,091,532,267,457,131,208,645,086,469,161,206,109,
992,101,171,607,241,553,202,601,692,757,676,694,589,274,780,076,677,435,194,
960,809,482,534,269,575,842,353,376,538,365,438,429,668,763,432,152,892,259,
219,261,001,441,972,916,254,934,696,458,262,198,044,950,303,296,468,548,840,
807,628,468,530,390,694,429,793,978,281,058,204,605,775,804,872,147,520,438,
297,092,829,532,349,009,194,836,315,360,791,106,868,794,389,652,356,943,406,
650,032,134,647,670,291,626,170,913,370,510,533,742,868,066,922,733,291,078,
966,309,394,638,454,453,305,636,911,674,047,537,416,787,601,412,475,191,536,
875,976,087,460,959,795,675,031,813,414,271,418,029,407,625,548,158,398,519,
743,845,314,365,604,754,912,057,141,392,457,467,472,543,154,077,428,081,314,
651,293,078,613,887,864,458,977,707,406,661,710,227,163,533,234,839,850,619,
570,103,207,487,979,608,175,558,678,498,582,768,045,960,588,891,137,547,794,
383,724,312,455,107,243,364,322,426,173,424,912,338,389,722,732,788,065,935,
343,351,227,547,805,231,857,156,176,677,170,787,801,041,360,441,473,891,793,
313,702,629,692,463,613,246,075,461,481,627,042,358,594,261,383,000,069,070,
580,457,601,491,675,864,790,704,529,046,426,627,487,853,302,730,344,967,471,
427,896,743,172,324,526,145,309,184,603,076,634,190,408,951,675,539,780,319,
396,392,387,460,106,030,691,508,707,837,188,007,951,094,467,257,357,783,935,
200,293,987,942,620,825,700,846,645,095,937,102,677,912,766,974,244,968,926,
245,769,007,444,745,124,649,258,829,815,877,100,337,331,668,469,167,899,582,
617,416,364,082,523,240,011,665,706,549,424,262,375,875,931,590,419,074,319,
624,790,599,945,666,375,350,681,709,945,402,933,908,507,226,306,439,850,821,
167,355,857,241,699,038,315,262,919,838,892,628,523,734,017,586,947,466,795,
277,658,261,810,440,123,635,897,602,520,567,842,013,689,548,962,618,039,162,
223,510,252,028,380,160,650,272,296,103,849,444,881,783,124,398,130,105,743,
624,137,521,135,519,696,284,594,590,439,028,652,603,199,305,681,882,623,412,
017,334,399,042,487,607,900,428,788,571,096,651,387,728,963,749,357,622,109,
279,101,363,718,956,387,942,759,701,763,316,640,326,562,685,046,791,877,213,
016,323,950,493,885,363,620,827,051,596,289,936,120,679,255,959,585,744,823,
699,618,932,823,496,918,680,946,626,439,930,345,002,236,669,623,376,558,244,
169,978,824,775,028,109,135,422,604,568,525,478,613,480,325,547,471,384,493,
605,224,826,545,442,841,126,571,972,738,602,716,915,428,218,405,868,388,466,
167,021,427,255,162,432,548,268,862,896,180,896,176,644,270,407,551,588,999,
949,139,291,039,569,386,777,529,821,325,306,853,608,564,873,603,003,784,840,
132,440,997,550,727,246,917,817,466,614,567,674,584,787,013,533,719,942,802,
196,464,691,013,161,069,341,224,485,855,892,885,366,088,547,842,024,472,602,
478,844,596,416,226,175,463,114,863,080,243,421,178,833,263,996,334,423,057,
672,163,467,130,625,397,471,409,604,518,423,582,755,261,407,577,836,185,133,
946,511,288,338,010,379,117,379,911,816,640,850,649,919,138,909,146,388,156,
750,811,170,470,029,810,312,280,159,060,637,120,247,034,574,019,348,003,633,
200,137,983,337,787,108,903,590,216,754,738,505,818,922,782,329,235,774,034,
785,750,919,773,214,053,563,886,013,025,617,015,391,735,960,356,152,781,600,
659,670,057,861,742,307,465,793,761,645,874,969,566,212,811,522,986,634,988,
541,392,064,068,889,646,774,830,157,299,453,771,530,237,728,272,521,360,833,
233,682,511,603,701,929,402,938,341,931,526,612,155,131,579,864,533,716,358,
023,005,931,564,169,290,436,609,356,536,093,423,337,766,968,832,280,537,234,
055,916,321,872,245,279,270,716,556,972,678,517,110,526,621,852,127,261,893,
497,050,111,666,066,677,872,447,817,901,034,743,102,554,510,725,392,830,169,
983,921,899,895,849,565,250,988,916,225,574,454,852,972,290,282,495,930,177,
991,575,645,978,769,824,664,319,348,446,680,639,265,996,349,526,216,387,613,
009,948,052,960,946,597,267,026,109,707,232,598,829,547,776,543,146,991,433,
122,326,321,012,420,580,665,664,317,463,291,412,331,191,684,141,052,603,027,
715,034,014,842,288,505,136,732,975,692,247,845,338,544,936,574,982,620,244,
879,861,369,335,480,251,377,180,906,219,884,609,940,548,953,065,474,213,503,
655,665,086,892,965,694,569,000,363,102,824,091,785,340,089,986,053,624,236,
755,052,848,310,282,306,419,045,646,615,585,621,544,152,188,325,238,495,892,
605,328,392,422,445,825,227,107,844,812,756,655,719,189,908,347,151,445,711,
584,678,495,662,864,959,455,559,511,274,600,076,238,723,128,249,247,467,773,
562,971,265,770,357,627,500,445,476,821,289,639,376,616,542,749,754,838,039,
842,924,806,329,309,109,117,078,116,744,410,640,654,537,474,464,170,848,562,
420,082,747,239,352,353,853,925,829,276,922,513,049,898,878,564,239,078,124,
150,298,397,384,848,578,418,185,926,036,133,351,848,381,356,163,794,635,790,
426,510,678,105,820,830,465,552,446,245,752,059,324,435,181,275,171,701,906,
338,628,710,713,669,848,719,959,958,309,721,567,242,391,540,655,431,862,669,
381,414,127,472,870,310,909,721,719,065,730,856,173,361,884,008,459,449,180,
454,013,629,803,954,317,906,527,320,165,584,661,813,356,468,226,229,569,960,
928,710,292,447,341,811,388,946,516,182,527,699,491,956,987,462,237,822,672,
767,867,053,389,608,487,591,172,806,595,475,361,546,690,560,893,609,024,973,
067,557,478,152,344,023,296,412,335,077,121,009,499,787,892,380,657,485,966,
938,495,319,126,218,872,753,162,048,131,100,815,935,577,269,608,776,289,853,
072,951,811,863,358,868,353,347,923,333,994,923,056,604,429,828,224,338,052,
847,738,330,587,153,854,588,149,472,868,733,310,975,252,153,707,791,473,039,
695,736,549,637,550,086,344,658,691,735,686,178,101,023,219,390,377,861,162,
807,171,888,862,732,046,819,290,005,309,560,121,221,904,907,912,984,798,504,
670,024,118,749,861,243,380,236,706,617,535,339,554,134,038,205,748,810,056,
875,630,968,295,627,005,632,913,744,764,483,190,374,238,831,203,607,555,169,
972,895,452,720,738,754,941,089,372,744,203,824,159,459,473,383,070,341,611,
464,389,137,002,605,605,482,079,033,131,750,004,800,522,590,026,584,055,360,
121,718,145,722,637,357,340,513,455,676,615,340,092,464,520,918,352,537,893,
681,761,998,045,291,038,489,995,252,731,288,690,228,902,050,177,945,292,461,
875,189,297,717,808,711,975,200,407,314,777,731,306,230,668,119,357,868,866,
663,980,451,747,751,145,197,504,852,948,911,868,620,825,199,978,571,792,227,
939,921,707,394,905,450,743,411,795,505,285,230,599,979,849,469,388,589,480,
638,066,804,309,573,349,833,523,417,039,768,423,468,882,984,071,987,991,748,
830,998,687,640,226,783,905,347,544,498,377,508,631,457,704,574,620,952,222,
122,932,030,028,306,728,787,959,797,230,165,555,766,665,462,493,490,881,433,
148,456,155,384,517,642,714,436,515,841,106,638,523,304,289,649,479,400,515,
299,240,641,511,903,408,896,940,911,939,366,414,609,055,373,584,148,237,882,
784,546,933,425,911,343,825,253,877,272,173,173,056,356,429,234,358,254,775,
464,297,102,819,463,701,103,553,927,231,238,877,482,137,616,480,286,041,674,
707,959,069,124,869,971,542,861,446,482,399,196,495,607,970,629,545,549,285,
737,970,908,162,052,083,175,598,513,626,152,204,475,106,646,718,034,427,632,
634,987,335,423,851,971,336,768,010,820,579,016,620,167,298,497,778,760,477,
110,950,964,603,198,665,053,199,185,689,083,449,182,697,006,712,368,357,910,
556,549,667,033,012,700,208,389,710,139,622,195,638,559,581,095,804,452,099,
014,749,213,065,914,562,171,579,900,865,321,206,889,626,934,981,229,075,787,
800,902,204,094,806,197,969,608,086,385,178,139,393,662,339,591,371,939,542,
850,859,791,631,575,213,801,007,118,761,910,752,782,341,283,866,732,600,826,
796,152,466,800,947,426,511,569,758,574,212,437,559,573,831,785,726,118,778,
843,579,764,185,824,261,381,446,629,464,129,540,038,788,801,613,291,560,643,
355,657,048,118,743,597,350,634,965,283,396,253,048,860,478,148,311,047,412,
551,775,100,965,378,713,923,314,198,522,945,833,999,193,886,328,850,461,397,
797,618,372,657,899,253,411,919,144,446,945,117,292,033,877,660,378,562,704,
886,971,784,374,804,327,598,866,789,010,006,390,459,285,642,885,727,678,892,
978,511,931,741,249,309,848,856,367,884,700,707,143,514,107,938,199,320,063,
990,895,584,599,405,602,378,958,943,943,117,523,445,381,252,009,701,795,922,
233,515,810,123,147,063,193,138,428,147,822,033,274,571,567,024,922,724,353,
888,195,392,566,511,173,640,317,714,794,109,267,338,762,873,433,406,074,564,
329,763,436,854,175,700,105,810,680,034,684,544,240,461,634,911,828,517,712,
710,602,378,445,798,581,909,128,909,225,909,957,126,759,193,786,043,294,357,
899,597,793,261,191,339,591,772,085,192,936,287,492,348,988,758,167,080,436,
252,827,005,775,828,566,051,562,637,843,730,998,738,576,736,597,330,489,496,
008,586,765,908,950,217,174,089,381,132,624,977,038,762,854,379,092,051,144,
081,667,780,874,172,213,479,139,794,335,494,603,406,027,909,845,331,960,878,
655,409,762,482,435,519,014,749,815,061,891,984,988,634,861,387,560,824,193,
336,576,577,547,691,961,360,652,836,568,492,097,845,726,218,743,143,404,199,
517,591,772,483,066,095,716,090,668,307,665,667,185,380,236,101,806,794,252,
530,629,251,111,913,391,240,708,697,296,415,778,312,720,124,751,978,459,622,
606,834,340,320,109,834,008,889,814,099,651,819,481,145,387,503,785,758,677,
391,337,709,890,916,525,819,220,483,999,099,880,280,456,389,697,997,490,479,
630,721,027,871,837,023,925,069,159,978,085,187,229,484,766,113,632,221,893,
732,510,048,326,852,078,020,239,770,823,246,079,829,774,851,213,030,662,934,
271,601,882,771,228,646,752,904,947,842,920,003,464,950,500,506,770,299,761,
023,796,488,986,000,998,049,769,142,873,508,872,437,925,375,595,878,613,860,
104,461,266,342,935,942,469,448,090,559,192,647,731,699,541,094,809,293,522,
283,493,313,229,823,102,493,774,187,741,798,145,824,382,786,420,570,502,984,
569,216,798,796,060,876,824,887,903,977,291,450,765,038,173,779,070,459,792,
482,870,402,884,869,191,178,211,199,744,083,491,879,130,041,176,240,256,072,
491,620,268,146,535,056,476,096,614,047,031,206,980,010,467,918,400,787,417,
393,586,644,225,719,837,307,797,992,462,446,434,576,684,888,384,659,906,798,
864,783,216,236,089,407,182,060,824,937,863,907,810,863,137,604,328,874,868,
103,206,538,778,625,378,306,755,950,174,010,351,168,157,583,325,449,897,953,
422,216,600,756,993,884,777,447,576,731,591,522,697,945,076,641,952,714,800,
224,116,725,261,456,923,493,965,633,095,842,019,865,954,081,828,622,330,270,
948,762,893,644,012,714,055,521,173,829,043,241,877,121,477,908,633,856,628,
996,802,582,145,320,461,337,991,106,526,547,703,198,064,083,449,369,621,230,
897,160,041,833,246,485,423,297,358,074,577,548,785,553,282,395,930,870,567,
785,453,167,584,844,036,338,302,092,383,014,729,069,813,327,318,925,959,223,
370,355,976,760,507,271,230,008,111,155,411,312,009,020,205,815,574,142,779,
059,991,906,563,438,265,774,331,846,181,408,756,087,817,900,073,967,229,425,
744,067,238,274,452,154,631,452,374,265,189,446,363,016,124,985,134,902,605,
967,063,535,894,450,784,172,382,508,164,495,144,354,185,655,797,829,027,539,
863,593,313,959,690,109,259,645,781,950,964,219,421,412,195,636,732,110,774,
439,147,562,726,348,347,160,877,681,094,965,938,114,344,518,746,481,042,192,
614,624,893,034,297,487,473,949,325,129,402,014,143,414,194,363,152,279,873,
734,076,394,843,964,778,110,684,571,562,376,703,832,515,272,827,795,629,747,
231,681,763,682,827,151,105,461,571,285,019,245,272,424,448,071,018,115,940,
605,216,627,735,925,511,180,722,893,218,594,226,307,686,810,082,634,645,345,
598,249,099,161,606,236,776,231,148,894,088,786,327,732,929,785,365,120,473,
196,545,624,883,291,465,366,930,281,605,308,558,495,891,064,671,116,466,287,
544,583,816,901,120,447,193,629,819,955,617,688,949,986,167,718,928,318,743,
756,963,260,364,465,943,176,603,268,358,214,896,822,461,506,548,949,479,468,
524,960,995,593,668,799,672,155,697,135,005,191,420,002,203,624,245,221,152,
721,353,410,696,447,699,407,504,560,407,648,996,589,982,800,707,038,073,400,
914,360,342,687,672,149,367,006,526,480,209,423,353,264,874,200,012,669,784,
226,081,317,419,732,829,550,342,547,111,414,721,708,292,020,289,754,999,061,
981,743,750,175,217,088,103,736,408,410,987,339,989,668,008,950,317,854,031,
860,091,442,433,920,055,232,964,883,508,767,152,137,456,723,364,891,327,504,
214,771,916,123,962,925,403,288,431,049,276,781,544,002,255,703,929,882,796,
261,843,271,727,417,068,972,419,363,539,507,935,769,637,614,459,017,451,697,
203,222,902,760,775,782,324,436,265,190,628,942,099,078,475,478,193,742,459,
397,627,145,465,766,270,259,522,656,077,153,091,482,347,973,810,704,894,091,
280,564,895,933,759,470,355,998,649,927,963,899,935,954,887,644,721,769,631,
278,507,850,206,195,149,837,193,787,811,339,564,920,983,930,888,507,700,776,
551,184,337,129,258,154,267,840,628,472,567,242,702,457,410,862,223,415,852,
572,180,267,574,248,241,817,972,367,799,763,148,035,775,476,721,661,929,183,
657,350,429,377,357,263,069,931,681,126,103,528,987,127,034,860,386,801,845,
258,709,536,187,073,541,976,848,926,051,622,557,167,026,067,435,960,257,632,
331,967,607,977,823,340,122,779,157,345,761,844,652,979,064,205,569,266,922,
131,527,434,132,727,739,700,581,177,834,436,823,731,715,586,695,011,251,929,
423,940,529,356,320,787,003,484,630,627,141,181,316,507,948,314,622,797,043,
371,113,580,858,306,250,420,154,227,985,748,016,397,748,268,586,096,560,573,
308,334,557,627,162,207,389,541,027,443,186,455,334,973,466,302,453,051,127,
948,840,101,420,841,150,694,152,246,843,670,771,709,667,616,466,429,164,666,
202,430,778,419,344,365,669,386,267,167,705,726,800,170,629,831,596,024,533,
535,680,742,380,695,826,579,672,779,355,725,791,200,854,120,485,542,257,056,
704,720,155,476,462,995,369,715,521,291,324,681,148,649,275,547,031,375,914,
638,622,983,340,565,323,205,282,389,474,905,671,587,093,196,230,914,509,811,
153,127,683,042,046,760,076,925,915,470,311,705,253,568,229,064,847,999,399,
173,903,861,054,792,572,298,036,423,186,976,111,557,971,993,743,639,228,898,
660,961,119,692,797,011,926,931,213,657,941,256,818,279,117,176,853,834,124,
943,464,875,883,906,228,958,778,446,601,315,499,488,323,956,330,106,367,327,
339,406,301,103,744,980,448,898,243,802,522,679,025,118,806,770,867,630,970,
080,040,868,177,418,450,385,889,451,669,860,657,947,673,883,942,809,492,120,
503,222,520,478,198,501,361,947,280,204,982,129,215,046,214,184,725,810,245,
623,268,842,553,271,946,334,769,953,828,165,194,585,950,702,580,208,348,717,
510,312,847,404,381,039,700,240,795,721,860,202,265,636,969,224,548,084,914,
949,930,086,160,897,853,259,193,602,187,821,375,800,870,659,313,288,962,351,
718,439,803,118,316,048,094,880,526,540,236,329,631,929,628,084,174,554,213,
546,775,394,834,221,041,270,792,552,786,549,505,237,451,673,128,297,260,314,
814,759,879,470,186,227,594,635,164,413,634,256,577,158,929,788,501,130,179,
945,683,786,356,821,948,475,808,837,254,860,980,128,015,009,634,118,304,539,
076,411,523,124,505,717,866,118,629,607,066,777,780,127,438,764,787,078,979,
376,825,810,549,071,691,778,169,463,119,507,482,725,155,399,526,134,732,496,
665,775,360,124,979,294,205,968,812,403,969,788,759,281,611,144,127,617,861,
629,991,183,660,402,160,609,770,241,122,160,483,215,091,745,476,618,069,733,
264,508,846,162,446,862,771,820,440,123,181,707,207,853,725,372,097,872,741,
254,480,741,824,439,098,012,267,153,904,778,558,980,772,660,589,308,196,976,
085,023,547,441,424,589,222,306,727,635,942,687,007,863,396,071,096,874,306,
703,378,412,373,770,767,227,366,883,033,479,943,677,372,641,249,279,446,873,
412,348,432,747,972,960,474,709,718,254,529,095,478,292,017,155,732,384,775,
594,092,696,250,655,504,251,558,096,074,008,747,126,454,510,404,140,001,873,
953,470,124,325,305,213,719,391,014,805,340,704,722,015,542,428,378,252,845,
724,686,031,638,571,277,218,024,764,102,703,706,724,424,557,603,714,291,487,
869,306,082,138,816,918,291,974,264,969,984,572,204,056,273,696,657,962,360,
292,707,873,372,636,028,183,870,820,827,255,612,120,766,889,247,393,432,906,
653,216,033,684,922,980,099,830,686,885,892,584,013,843,895,868,997,502,889,
219,629,712,040,096,128,631,955,468,657,565,356,028,198,025,139,371,265,311,
965,321,335,248,897,081,028,114,332,453,820,341,065,953,708,892,214,917,189,
956,887,239,411,111,251,037,288,898,022,926,232,647,853,360,890,167,576,171,
897,573,671,772,716,610,433,053,151,176,487,951,503,146,209,112,820,149,488,
737,750,038,549,538,199,791,078,912,963,153,119,226,362,146,884,255,751,462,
531,617,475,092,911,934,028,390,755,116,244,632,711,887,038,530,711,595,274,
285,698,124,170,969,166,821,312,819,903,866,563,449,980,287,698,994,199,805,
866,036,997,134,120,568,631,315,849,277,469,980,248,824,428,990,356,538,578,
035,402,620,767,787,644,517,535,289,091,249,341,943,605,309,983,703,358,141,
156,099,519,637,164,061,816,273,242,484,121,698,664,624,609,906,468,275,775,
097,885,121,978,471,538,676,910,317,131,270,339,169,628,760,202,943,708,825,
384,972,790,308,660,820,735,426,888,037,923,814,483,137,532,352,994,124,322,
800,317,258,256,106,757,352,212,859,367,592,022,497,732,470,269,260,280,552,
999,378,379,565,253,698,432,824,476,458,082,642,913,009,693,181,066,976,489,
668,226,889,049,750,420,419,386,443,838,663,264,829,942,194,168,114,069,138,
765,685,606,693,620,504,814,475,868,087,352,957,677,053,173,278,541,825,486,
735,029,831,922,220,977,481,248,076,089,702,562,614,573,380,907,734,809,410,
704,753,061,204,866,409,086,376,451,122,651,338,639,110,148,942,563,033,359,
950,201,945,937,490,704,296,607,942,650,817,000,206,713,581,201,332,179,867,
429,506,748,248,226,305,384,998,108,526,139,650,356,566,351,456,313,021,822,
203,272,688,583,810,796,551,492,996,808,115,111,260,826,670,159,097,613,997,
817,357,136,437,921,625,002,166,470,002,388,305,327,475,595,050,525,744,949,
555,927,096,799,007,861,109,826,293,640,311,365,102,357,402,663,679,132,262,
989,574,786,367,039,569,013,929,527,408,960,452,824,513,879,778,622,695,667,
334,212,742,386,486,403,875,270,771,274,650,086,705,101,563,506,402,082,844,
466,998,264,481,753,345,353,502,132,965,641,003,666,033,491,674,431,361,144,
883,632,280,646,955,812,078,833,581,295,544,592,120,796,893,959,172,295,698,
864,702,613,147,624,516,240,013,809,962,873,867,148,990,218,911,058,094,512,
290,399,647,094,707,662,183,473,360,725,478,319,308,944,527,701,492,669,591,
008,970,821,341,154,740,160,636,499,856,011,567,586,321,120,742,466,244,917,
927,764,509,597,949,048,420,093,975,148,478,284,322,965,375,755,134,996,702,
124,008,838,193,788,386,721,804,989,470,713,674,728,039,636,474,929,956,245,
761,229,761,387,114,362,805,488,377,498,144,613,092,512,697,584,540,628,632,
491,010,214,467,249,744,296,495,288,824,622,396,082,887,053,530,161,285,773,
282,013,461,655,972,734,190,346,135,614,435,965,153,133,365,518,411,544,007,
600,298,768,697,578,832,069,939,888,852,248,846,889,451,281,065,652,930,881,
189,539,614,589,304,323,589,682,652,981,804,696,307,053,157,291,643,713,297,
632,373,644,403,053,297,249,360,536,429,293,985,302,612,899,323,848,927,825,
235,682,752,386,246,632,542,683,755,321,286,870,744,591,375,483,037,968,650,
051,368,285,513,716,270,332,665,484,859,055,458,526,816,670,734,552,040,574,
855,832,245,831,365,154,343,428,701,270,572,120,128,435,865,939,520,822,432,
812,794,904,816,086,790,736,473,939,237,576,633,415,162,618,157,873,625,279,
751,028,520,402,507,113,835,994,116,984,564,005,883,223,080,023,675,959,771,
776,045,831,396,187,504,469,530,939,944,097,640,430,814,030,030,489,564,634,
427,510,671,507,830,531,419,074,739,698,244,346,954,106,063,738,601,295,364,
211,422,938,119,454,296,258,265,535,368,461,413,750,671,078,856,342,233,440,
286,067,989,905,369,671,967,271,534,916,239,146,099,366,299,304,695,276,777,
527,338,490,968,873,301,262,628,434,369,325,104,808,404,895,542,016,066,532,
168,840,069,040,807,839,099,191,245,540,767,520,307,727,478,739,704,587,649,
002,137,100,359,853,592,734,564,983,103,513,298,649,487,826,068,000,836,209,
758,204,711,198,239,415,892,601,869,305,376,123,232,162,267,798,400,364,566,
206,306,948,592,709,931,310,726,530,303,540,168,430,815,743,610,869,975,479,
343,200,296,069,206,162,435,266,756,464,179,954,905,853,911,129,854,423,874,
135,936,405,477,067,199,970,609,445,639,865,879,114,646,472,709,454,727,501,
651,789,397,352,653,414,272,727,355,930,004,542,620,760,345,483,501,357,075,
502,585,863,737,370,217,619,921,448,903,706,013,505,873,018,640,799,903,034,
027,381,303,365,566,757,823,632,192,003,520,967,652,546,492,874,001,250,577,
883,673,929,487,747,278,530,257,623,660,732,932,922,737,294,708,981,684,941,
509,164,280,074,778,692,351,459,986,217,599,787,371,248,377,566,097,256,671,
547,966,479,493,800,620,242,860,044,492,637,240,944,657,635,238,115,872,078,
461,686,028,252,167,928,288,034,275,749,612,475,357,533,485,248,808,492,221,
426,591,285,866,147,600,671,909,221,126,915,916,216,629,260,592,626,190,138,
630,045,704,537,151,302,048,304,398,397,604,211,990,274,940,194,397,497,739,
712,833,157,942,320,611,945,327,019,335,699,157,795,963,815,879,806,662,157,
996,734,868,436,157,381,699,652,485,337,714,575,115,201,928,381,737,487,147,
874,218,153,979,567,243,377,809,425,943,164,657,264,895,742,665,260,456,236,
042,642,424,074,959,025,709,148,579,894,108,232,637,132,017,012,599,857,496,
296,189,928,980,190,101,818,624,692,213,864,110,442,354,928,497,341,250,421,
413,202,651,704,904,793,238,162,323,046,443,106,155,279,695,123,765,600,751,
836,802,012,342,157,979,504,594,478,904,796,824,743,880,727,219,712,638,526,
428,817,225,463,492,973,729,677,564,665,209,809,260,541,472,776,622,898,688,
824,146,007,228,940,957,658,790,321,187,861,496,098,925,197,338,033,011,076,
475,356,399,686,249,905,482,146,680,224,212,501,960,085,928,768,020,659,828,
313,489,985,551,896,543,135,783,372,964,797,833,472,112,549,058,724,070,218,
553,002,948,849,114,705,712,618,663,790,798,879,587,091,003,324,457,586,956,
246,070,091,546,679,418,291,578,991,001,044,819,990,841,976,686,666,007,037,
784,291,746,190,127,103,476,822,879,207,717,379,734,853,604,795,542,429,183,
445,621,835,839,359,377,552,288,813,379,080,938,629,861,925,469,587,150,396,
303,164,656,928,226,091,321,836,558,093,469,805,511,333,813,375,218,856,120,
502,118,448,209,367,422,758,310,264,092,263,370,720,792,250,766,465,163,845,
316,186,213,546,590,396,234,118,837,659,156,806,570,348,339,565,274,591,356,
340,667,026,229,445,561,762,256,883,583,757,788,077,049,523,920,605,355,822,
760,564,336,803,266,471,327,893,994,556,548,507,653,260,126,796,586,368,235,
066,813,725,468,353,876,915,190,863,073,751,276,168,211,039,636,007,628,347,
266,673,146,302,868,817,725,785,941,692,968,363,689,979,931,150,480,291,048,
603,230,181,263,069,072,314,014,896,554,113,158,195,574,685,824,589,418,627,
181,893,429,534,085,966,546,500,748,068,369,097,502,675,488,159,947,741,201,
493,217,009,603,285,603,382,387,100,017,052,102,702,193,731,137,679,254,912,
239,241,879,526,195,159,684,718,380,277,708,560,084,099,055,539,557,203,331,
239,055,765,176,192,317,854,828,237,139,743,758,278,882,821,020,783,175,548,
639,540,879,718,578,892,944,409,928,814,485,042,486,677,910,016,403,334,241,
289,220,515,024,861,522,742,565,520,099,985,848,913,038,329,213,999,533,318,
294,126,277,961,669,232,685,132,246,656,819,604,494,494,713,190,292,289,762,
766,554,214,283,546,977,034,973,701,858,887,375,102,242,423,735,431,387,546,
855,640,588,320,371,027,106,067,411,899,708,632,879,715,864,932,827,624,929,
554,069,923,077,624,925,545,538,381,333,055,320,941,442,407,804,648,427,429,
911,155,529,538,061,316,787,558,730,716,278,554,760,027,455,154,496,082,410,
193,781,250,541,677,084,756,784,588,131,283,668,740,685,394,239,527,717,297,
939,293,818,783,490,462,093,970,606,009,736,814,081,396,204,352,748,926,994,
204,255,320,183,676,977,275,851,017,650,853,438,256,790,260,921,979,069,325,
448,131,644,391,946,206,737,402,631,870,417,641,632,373,298,168,813,468,718,
836,981,946,620,243,471,236,524,661,093,772,100,773,373,997,080,913,259,958,
085,756,448,595,620,819,005,415,953,605,002,423,805,009,990,922,685,138,152,
884,131,115,692,066,803,512,374,762,654,589,127,345,111,125,007,509,951,210,
398,127,901,158,928,310,222,801,453,568,364,978,762,283,353,850,663,100,039,
857,268,792,471,292,060,249,383,157,796,093,353,305,938,795,645,518,831,410,
984,470,610,280,067,777,455,249,164,929,059,049,738,761,208,150,387,254,960,
549,674,661,375,092,832,013,377,381,724,890,171,257,697,759,208,444,900,433,
670,067,052,572,238,966,949,004,387,096,284,763,778,115,642,006,882,983,659,
778,901,596,381,269,337,970,786,222,635,864,529,782,919,977,759,880,839,254,
414,894,603,656,839,935,621,097,196,030,143,843,953,714,618,308,828,785,299,
541,844,416,963,562,528,968,965,926,263,943,343,412,318,185,749,220,431,520,
600,428,188,454,226,760,624,274,597,436,772,514,505,336,465,809,701,296,921,
668,265,187,302,285,980,116,734,312,140,221,613,863,285,148,096,264,677,275,
120,594,860,730,555,209,728,039,928,956,964,945,314,141,008,871,230,498,838,
622,721,343,703,540,405,521,364,621,256,962,803,020,141,315,715,590,461,583,
815,430,195,816,317,942,652,554,959,184,079,902,094,437,847,814,662,410,608,
697,616,150,264,064,785,995,173,656,884,631,453,068,623,682,303,031,402,243,
895,196,227,988,722,587,649,674,385,357,043,323,111,095,849,024,340,738,921,
311,783,024,754,907,039,480,380,040,441,280,065,447,724,013,586,869,303,623,
227,966,428,142,399,744,803,102,981,766,241,330,410,986,833,276,211,696,406,
860,690,783,267,652,404,973,033,240,271,218,713,979,967,686,875,151,202,336,
095,607,503,637,254,750,683,309,447,899,343,516,873,619,812,129,917,250,614,
995,029,082,873,851,263,002,134,582,614,083,554,060,453,856,976,057,027,786,
127,969,353,460,318,650,398,466,056,246,587,110,799,933,984,595,574,521,341,
243,656,526,490,524,181,367,818,821,801,804,839,704,469,035,584,500,471,058,
714,933,069,407,720,915,244,996,908,109,018,557,630,809,363,578,485,458,615,
246,804,519,198,079,330,871,874,290,586,035,358,129,834,562,545,006,783,730,
540,878,806,904,538,265,410,726,384,207,442,146,345,032,137,107,127,062,876,
144,772,354,153,922,044,644,933,584,516,336,478,192,884,482,689,599,837,167,
132,573,514,188,528,312,857,276,038,682,426,512,437,674,989,391,195,200,616,
255,088,298,520,873,913,892,239,960,160,601,641,312,511,791,914,953,943,425,
914,906,226,216,006,058,325,122,577,865,461,985,349,392,408,569,073,816,257,
024,810,362,812,226,604,946,863,152,791,923,100,098,078,925,315,687,898,095,
012,777,068,961,256,544,385,700,008,827,656,539,056,200,032,989,098,071,345,
027,444,953,769,586,223,934,479,411,759,284,981,212,809,035,551,947,878,969,
681,858,971,338,886,076,936,726,428,556,743,689,863,929,501,851,950,359,448,
483,043,935,045,600,653,861,140,546,785,528,376,020,028,368,468,827,261,704,
144,498,850,553,104,402,002,537,224,536,449,324,721,150,010,099,315,212,405,
327,692,010,809,390,285,901,442,673,975,687,130,557,306,429,862,505,238,549,
032,322,840,406,837,262,429,188,102,054,036,442,039,216,714,962,267,010,459,
799,639,536,483,838,042,142,267,895,066,124,678,795,929,743,543,450,149,342,
189,867,042,160,188,502,778,998,450,403,490,776,829,457,619,719,897,193,732,
482,543,612,072,017,763,911,831,138,509,648,045,108,640,672,402,109,561,211,
477,590,695,671,625,494,383,953,622,806,062,576,173,361,829,261,704,049,296,
280,364,330,743,475,911,524,992,695,166,705,120,724,319,586,950,494,892,120,
783,443,881,287,923,019,712,372,343,807,846,952,512,656,277,644,409,706,318,
151,181,876,595,217,212,466,985,202,104,568,767,535,860,288,285,606,245,627,
532,044,726,539,615,336,438,725,496,948,164,269,356,039,786,404,314,257,885,
047,123,183,809,625,970,067,398,553,057,244,965,314,889,337,735,730,808,166,
794,159,787,273,861,661,460,381,979,462,875,208,694,820,845,788,546,170,587,
478,178,650,819,616,887,021,553,434,234,715,679,394,071,767,398,262,680,981,
017,429,872,345,290,174,769,083,618,695,107,664,131,623,589,753,944,149,922,
971,706,450,927,913,520,261,482,555,463,577,841,856,887,641,057,590,471,358,
365,809,671,246,209,150,652,955,944,983,328,114,684,896,556,872,916,718,432,
984,505,080,233,481,499,512,673,457,714,668,713,997,268,495,724,919,874,159,
670,555,289,064,995,416,684,454,782,944,567,076,194,999,455,706,556,798,575,
427,821,906,407,306,746,007,335,862,788,239,954,677,321,229,737,749,212,234,
878,927,682,670,044,371,590,314,243,263,303,917,108,091,511,718,948,357,301,
936,130,650,766,220,253,004,959,160,395,217,383,577,148,393,310,260,800,130,
491,099,756,855,973,088,073,822,426,087,662,955,400,165,055,552,133,019,998,
068,591,879,075,777,789,197,357,641,199,297,067,296,259,007,664,087,381,671,
972,220,752,307,737,432,567,277,831,434,885,511,634,922,547,366,912,720,653,
026,455,426,504,842,675,220,645,905,340,356,969,635,438,130,470,793,272,159,
304,746,509,552,988,593,071,774,471,716,195,213,487,530,318,786,059,198,380,
911,265,224,282,960,613,075,697,697,730,433,904,021,660,079,085,827,721,774,
600,291,760,183,746,352,324,719,801,697,324,192,127,377,285,843,840,246,704,
330,524,857,997,820,001,387,098,869,967,449,011,540,826,399,779,588,782,531,
298,016,388,938,948,784,726,585,419,895,563,716,823,536,628,632,355,738,412,
555,771,375,364,386,860,199,279,065,712,210,869,015,816,452,545,113,072,694,
568,305,655,827,799,162,189,341,547,281,767,198,089,491,253,462,523,170,070,
128,500,462,006,291,112,120,184,144,759,780,283,800,312,014,217,670,726,160,
690,160,317,121,342,624,272,421,321,611,721,706,992,916,310,105,455,927,686,
207,259,571,648,416,242,067,939,887,258,025,439,716,978,447,616,915,824,959,
625,942,602,957,991,875,321,156,957,386,855,276,365,474,497,540,831,303,619,
939,580,038,631,043,458,708,485,213,925,562,181,160,498,099,392,245,248,765,
655,647,850,400,077,012,407,777,606,788,309,390,776,641,710,841,502,263,062,
364,716,681,454,338,871,639,933,011,598,932,333,482,965,599,762,339,425,949,
317,421,709,577,470,630,314,458,616,839,061,939,960,306,728,077,621,310,372,
878,525,436,510,434,581,667,701,930,917,490,966,896,993,431,411,089,556,746,
260,701,869,864,348,908,882,443,328,667,856,152,542,655,608,849,349,583,210,
058,441,771,163,311,176,336,844,102,298,337,954,882,095,536,351,628,477,660,
927,999,106,258,932,085,492,275,910,778,940,509,499,649,177,974,800,982,598,
042,887,113,724,726,320,557,611,575,050,011,858,375,157,108,207,119,549,364,
118,634,307,765,012,260,573,985,806,045,983,438,519,782,246,046,099,600,945,
785,659,457,329,175,349,326,176,659,274,552,470,049,540,351,221,057,183,929,
702,259,192,978,126,052,984,098,974,345,388,365,933,933,908,562,305,593,476,
858,046,260,789,953,513,055,264,821,357,999,863,199,160,623,889,065,884,093,
041,556,190,093,881,764,694,121,102,180,737,748,940,081,499,692,838,893,514,
478,756,654,296,166,485,331,023,816,217,363,481,062,176,386,867,662,770,442,
468,112,297,578,475,000,937,444,849,418,161,907,667,324,367,033,694,526,106,
246,027,198,113,620,627,542,763,269,268,617,926,237,612,110,017,511,274,445,
113,988,086,468,729,530,583,030,794,648,977,692,174,689,095,605,784,193,557,
480,892,031,140,023,323,058,093,029,331,085,411,137,789,149,826,387,528,872,
365,613,691,922,442,048,484,177,084,014,189,503,573,564,183,140,917,037,504,
089,972,782,497,598,159,651,819,386,515,620,683,082,203,980,336,108,271,090,
613,412,358,636,160,111,123,832,379,240,204,392,383,863,657,164,887,477,773,
820,573,756,368,556,350,494,447,027,980,916,384,919,068,072,781,461,115,252,
986,819,194,364,489,354,341,650,480,302,440,650,235,226,385,894,381,712,755,
738,841,663,802,378,349,908,943,870,142,711,007,178,248,501,088,526,176,087,
084,897,460,289,657,125,105,771,980,794,536,636,410,599,220,831,205,070,861,
092,164,346,892,735,294,226,829,937,456,750,917,736,337,305,509,137,789,143,
954,837,362,681,834,278,017,519,480,670,371,419,110,722,128,928,224,311,192,
927,023,968,288,757,445,319,124,824,107,444,972,578,640,929,099,138,364,654,
423,659,332,371,735,137,644,528,713,433,579,282,029,658,677,877,643,857,653,
410,912,834,236,082,055,940,693,678,340,727,452,654,453,373,217,857,364,173,
181,384,269,852,474,265,883,510,547,732,731,711,078,200,964,438,364,834,800,
865,966,428,841,376,209,873,713,952,163,182,139,763,948,716,529,979,300,610,
222,779,573,869,205,991,001,730,671,206,589,170,948,443,634,697,027,818,722,
798,277,138,615,577,108,228,175,969,352,147,797,808,990,064,659,300,369,959,
202,924,422,649,845,614,117,895,546,755,477,241,542,781,528,692,537,867,443,
425,410,872,784,732,013,835,797,535,355,067,745,731,723,227,253,520,107,955,
341,628,510,325,671,624,364,564,871,570,953,284,229,660,931,226,256,315,701,
332,793,184,918,111,124,621,873,340,706,071,798,283,672,368,871,396,093,025,
230,061,396,769,870,317,801,062,427,790,283,319,081,552,649,469,045,133,320,
925,420,388,230,029,590,192,812,651,428,769,565,296,079,105,373,606,502,491,
332,698,595,725,023,969,861,738,391,757,521,191,539,834,464,592,768,951,863,
183,814,238,427,789,452,995,336,600,916,482,380,785,029,199,692,017,467,833,
467,851,388,405,455,331,546,368,034,797,073,896,056,542,915,083,056,102,150,
575,570,033,877,069,858,747,865,868,454,602,342,974,913,917,244,970,243,105,
026,544,186,560,866,380,157,975,599,411,950,319,718,740,725,487,443,978,542,
613,497,753,382,157,708,531,812,156,875,535,203,350,921,985,981,749,287,938,
242,660,040,418,551,839,432,604,873,790,305,729,166,522,991,714,854,002,158,
482,919,763,290,912,103,617,200,746,272,521,648,787,822,130,978,580,037,507,
159,149,247,997,199,984,683,658,091,301,561,425,986,528,609,605,274,502,437,
889,735,098,725,508,365,296,518,304,957,168,512,493,392,304,834,546,796,863,
132,740,264,336,130,591,144,162,174,606,001,478,389,195,027,053,082,861,741,
101,313,294,845,632,487,469,951,871,966,444,269,445,359,072,825,012,583,775,
511,732,816,140,751,460,159,099,743,609,340,565,833,559,242,766,911,344,550,
081,134,513,965,709,848,546,569,544,514,447,707,359,893,237,643,479,364,269,
735,906,608,944,953,730,267,595,560,848,090,329,096,673,284,247,738,546,047,
894,306,956,640,689,464,350,272,049,012,620,859,886,402,462,682,655,236,703,
478,343,351,015,684,961,260,976,294,856,706,959,374,965,346,916,741,082,845,
542,819,138,675,333,099,129,297,481,026,620,704,907,411,805,072,032,714,654,
295,478,809,449,353,223,895,969,209,592,366,133,913,993,799,043,922,568,102,
115,208,214,084,546,677,411,740,635,513,666,798,851,743,917,985,763,629,396,
032,958,093,475,466,568,809,522,060,701,871,351,300,279,495,781,194,125,509,
365,538,846,240,515,065,836,871,169,299,792,242,279,732,841,412,041,753,209,
881,131,606,033,007,368,682,462,026,015,012,748,308,505,650,518,455,461,835,
338,688,189,866,832,283,418,158,238,129,753,559,262,224,102,200,529,759,824,
061,824,411,074,549,931,840,930,516,320,529,568,734,487,069,303,942,676,494,
648,585,435,157,519,105,143,492,580,474,567,320,939,078,831,061,835,366,110,
438,143,232,945,444,189,185,200,253,558,703,156,772,515,112,985,035,827,653,
135,978,002,713,962,798,411,747,412,051,255,407,498,617,048,622,638,761,961,
594,160,294,154,914,886,892,406,309,141,844,790,836,334,344,247,203,633,036,
102,078,832,934,931,396,576,488,846,651,527,941,013,767,676,420,243,673,420,
667,333,922,117,715,782,634,573,279,560,774,657,081,351,767,949,374,750,766,
742,302,825,619,931,168,351,792,487,861,576,749,359,859,480,192,895,530,322,
666,667,338,450,477,518,424,576,808,153,123,523,959,730,217,323,464,115,217,
424,645,096,252,482,137,359,331,287,728,961,208,079,419,626,469,728,341,072,
786,874,030,108,178,727,289,873,147,179,129,246,543,149,931,877,139,658,065,
053,401,541,963,789,345,895,752,005,114,862,284,309,487,554,826,357,124,010,
128,005,960,472,283,221,919,214,727,522,251,323,193,073,933,964,948,401,293,
148,059,464,163,778,191,982,735,350,277,960,900,377,114,787,523,441,364,069,
859,079,291,356,916,425,309,257,089,490,948,020,338,532,548,002,641,210,098,
254,658,756,092,694,059,566,072,133,449,042,831,221,800,049,679,138,650,502,
839,901,528,947,455,962,985,616,260,786,781,934,261,673,233,255,216,121,171,
715,054,643,182,503,204,254,932,290,545,721,096,281,714,531,856,963,991,892,
837,824,363,898,241,699,402,284,109,927,542,787,885,554,674,161,435,091,764,
187,507,754,118,085,422,090,358,472,032,188,810,250,017,764,257,726,443,348,
254,000,844,782,641,640,854,913,432,872,491,764,645,599,659,242,949,684,368,
811,154,397,046,018,938,599,467,124,760,524,139,498,192,370,477,038,969,677,
362,814,430,838,377,611,567,437,117,037,965,309,691,715,010,019,062,521,823,
566,295,244,812,723,162,752,741,350,922,111,988,031,696,025,316,601,144,817,
488,313,931,953,112,831,106,050,340,444,217,714,565,939,894,204,324,242,305,
051,392,499,047,769,686,873,771,628,614,824,398,624,891,224,435,572,401,871,
769,903,121,910,253,002,942,908,699,195,943,926,341,522,986,254,347,831,146,
043,379,330,217,434,415,796,145,856,287,408,081,744,279,882,975,401,951,842,
043,262,782,578,499,889,414,520,955,609,982,809,522,884,000,361,691,707,561,
964,284,619,361,926,728,450,979,497,551,593,529,480,836,466,606,065,277,315,
688,235,361,892,807,177,427,868,714,784,127,266,342,401,553,515,875,372,383,
729,372,001,784,635,007,919,364,507,131,401,870,629,621,043,306,414,758,215,
799,642,534,998,379,354,185,072,064,472,575,999,718,472,837,335,321,636,693,
992,450,918,713,042,117,081,359,703,575,982,677,068,651,760,919,415,728,666,
488,821,751,862,480,674,973,923,173,231,958,028,201,569,206,206,836,758,517,
393,563,909,670,300,221,641,720,794,957,724,449,710,828,758,445,089,228,972,
908,621,882,845,352,624,975,806,740,060,778,685,320,365,883,566,468,412,798,
742,820,992,657,887,852,133,274,308,330,836,755,952,116,229,820,536,344,441,
959,803,648,642,557,552,258,811,344,286,834,735,926,005,991,195,480,696,096,
932,631,359,569,950,911,830,775,079,819,793,782,023,408,772,415,558,140,576,
740,184,468,962,216,564,970,897,734,068,030,817,594,803,112,717,629,820,169,
132,912,977,062,299,191,161,090,373,529,321,369,990,233,042,190,304,697,534,
242,896,169,426,471,849,565,954,423,133,267,160,132,670,272,079,518,801,131,
216,418,481,850,475,688,583,275,942,881,984,747,306,937,951,667,697,298,772,
532,363,879,260,308,708,673,578,708,751,171,837,656,437,350,537,439,628,927,
862,204,626,607,982,389,552,915,165,343,902,737,526,780,570,088,396,860,349,
551,685,751,745,388,951,900,676,925,561,283,018,377,555,095,717,677,862,621,
916,818,247,646,374,445,894,817,375,137,882,975,743,960,237,107,580,904,021,
172,905,371,950,927,619,763,376,343,411,893,044,956,811,851,706,283,896,992,
295,966,848,028,985,986,784,537,471,400,609,795,226,540,242,915,132,733,170,
453,452,606,760,331,472,434,134,760,075,080,308,042,551,236,933,405,977,713,
242,623,358,153,769,904,187,446,417,837,629,603,581,182,266,479,815,517,596,
281,884,788,591,008,523,274,025,686,847,710,341,969,346,163,709,769,520,095,
047,288,718,641,267,681,658,623,841,000,356,431,396,108,205,469,210,394,798,
819,273,156,167,629,499,988,625,516,527,604,505,701,401,949,608,301,446,379,
810,075,384,341,376,090,212,224,883,306,505,215,278,500,693,747,544,653,826,
282,895,771,426,503,855,332,268,355,002,027,229,255,805,396,600,109,037,161,
733,176,477,925,324,778,732,605,103,665,671,711,660,271,382,388,680,562,124,
822,009,348,104,852,694,742,427,613,776,939,723,536,571,748,654,245,473,034,
431,039,550,485,630,661,079,161,330,881,749,799,435,683,323,388,130,341,447,
148,182,406,943,973,863,172,559,536,208,270,544,298,086,248,923,415,658,499,
399,109,948,599,735,635,994,572,548,420,203,704,258,471,785,884,282,494,478,
882,463,759,896,661,927,275,312,418,449,688,583,891,535,746,131,303,797,571,
613,585,889,846,873,549,956,259,837,074,444,414,362,314,003,718,313,777,358,
521,156,263,826,653,890,795,384,936,307,965,276,907,760,676,538,873,283,764,
757,307,332,253,657,932,208,477,699,865,243,379,935,337,023,637,243,803,739,
632,556,071,982,533,283,891,084,050,872,381,266,387,189,859,691,852,245,555,
499,198,611,492,794,903,728,560,468,341,184,351,926,986,475,122,220,990,670,
015,679,768,058,670,526,292,874,349,432,896,117,435,635,937,670,578,503,295,
753,587,566,117,030,104,904,854,173,325,101,923,335,189,426,209,177,711,243,
174,399,045,011,576,005,344,680,521,685,130,953,746,161,306,462,338,247,903,
592,261,661,443,735,286,615,131,345,620,532,968,061,587,127,784,260,076,878,
804,084,636,120,954,941,214,296,662,297,364,042,510,554,387,488,713,713,265,
651,936,484,315,991,361,086,057,240,914,989,144,021,348,821,149,302,725,633,
346,874,058,910,595,233,422,770,610,104,075,974,811,598,721,642,945,383,694,
749,347,004,352,432,390,429,705,562,489,914,773,203,821,919,394,339,764,039,
099,184,152,665,925,830,006,499,974,820,271,465,052,838,242,245,632,460,366,
373,534,231,814,436,722,793,948,878,635,301,133,090,334,927,382,069,843,317,
584,657,220,022,361,748,180,037,241,344,422,767,820,756,217,127,643,248,836,
075,590,956,762,666,111,397,618,539,766,772,813,186,179,105,818,413,725,169,
055,674,328,589,451,653,892,948,676,935,708,119,268,932,482,390,353,314,618,
896,379,959,516,576,938,563,414,021,914,368,485,154,266,067,803,626,338,493,
621,587,486,853,302,991,650,615,084,484,466,041,817,214,488,529,680,210,600,
179,022,573,164,461,526,453,463,281,665,138,812,725,620,844,832,989,399,214,
648,260,434,423,881,830,394,831,755,344,636,773,719,015,567,052,286,190,247,
589,586,105,742,483,035,609,308,152,674,309,040,714,505,577,788,476,904,434,
773,545,768,576,863,472,402,652,198,689,545,265,388,328,520,922,396,295,424,
021,260,686,827,213,470,037,831,610,696,954,706,462,122,641,395,513,004,230,
004,488,108,924,016,551,786,916,965,398,739,587,792,258,010,733,370,885,026,
035,449,472,011,095,897,017,887,997,186,559,867,564,039,549,563,883,029,382,
038,397,439,533,794,242,240,820,783,681,144,288,349,013,944,785,324,481,488,
782,612,480,731,188,115,676,837,618,898,238,401,768,502,924,486,583,173,619,
177,511,236,422,639,507,722,450,060,705,358,435,166,712,265,983,536,711,342,
753,048,634,211,700,835,508,125,469,172,197,867,376,395,293,845,738,996,080,
277,361,515,818,531,496,965,941,666,138,468,214,173,910,462,314,461,640,301,
396,100,312,062,914,142,324,533,338,140,692,297,323,119,640,913,966,858,529,
257,111,673,842,365,517,948,467,787,181,140,466,607,308,830,036,262,837,805,
663,772,693,978,669,216,653,308,408,002,985,095,858,063,773,060,507,118,285,
930,631,636,049,235,652,711,651,415,767,075,862,759,540,075,683,125,753,726,
436,914,243,059,909,093,301,392,648,253,897,285,919,122,574,681,247,989,280,
159,671,226,282,435,432,397,979,332,718,974,392,998,145,664,658,890,493,643,
329,450,796,317,683,311,108,964,156,065,491,714,449,608,305,091,109,979,111,
364,747,572,980,753,138,689,982,141,091,998,197,618,175,887,339,585,599,380,
702,793,417,701,610,927,570,982,104,439,489,600,746,430,596,622,781,010,823,
310,444,975,151,830,253,306,041,222,838,783,869,625,832,623,290,313,660,012,
174,492,039,473,580,015,458,475,294,766,205,056,059,466,873,094,233,086,354,
300,846,109,937,010,071,939,617,745,692,208,011,265,822,535,866,460,324,595,
904,458,582,606,488,088,362,714,226,663,372,878,185,998,453,977,734,930,617,
655,622,267,528,195,779,549,663,715,685,875,725,023,262,792,128,495,592,441,
553,976,015,676,651,375,760,290,978,332,042,011,310,502,274,826,485,414,381,
754,709,724,510,155,319,476,546,526,501,630,764,590,392,962,651,908,134,543,
197,776,938,490,692,276,605,979,948,856,261,883,598,461,849,946,731,835,558,
741,747,439,324,181,313,364,141,216,433,835,699,266,822,833,088,670,815,242,
144,489,160,086,698,578,932,366,913,090,198,547,794,147,761,113,162,417,019,
119,016,100,034,645,829,731,902,202,304,044,669,556,769,951,582,174,027,728,
703,839,439,098,594,933,835,238,269,320,603,517,951,100,004,716,375,249,840,
599,683,486,971,620,310,073,327,396,262,344,193,701,085,138,594,271,065,310,
731,495,078,874,868,341,211,450,827,797,872,334,321,622,238,102,279,546,604,
005,724,188,264,052,102,416,705,097,004,663,681,529,373,458,405,712,256,508,
154,157,167,719,800,867,610,360,512,163,171,473,031,767,977,160,824,340,497,
521,247,661,100,133,282,738,480,182,679,036,790,936,157,118,914,232,890,301,
718,398,191,810,040,593,947,202,759,375,385,145,304,370,842,178,655,502,280,
535,954,510,841,167,139,267,086,939,594,956,135,157,846,318,159,414,097,464,
362,138,862,991,948,909,443,918,402,567,911,572,393,949,495,227,664,145,990,
380,291,265,861,038,599,025,952,109,894,857,177,464,596,803,472,882,520,750,
276,152,829,425,422,559,916,486,285,654,241,261,759,160,974,899,746,099,700,
250,281,429,757,966,683,076,939,354,083,411,140,819,722,783,080,965,661,583,
644,141,708,087,983,555,075,894,648,592,582,350,168,722,847,462,496,991,543,
508,201,623,157,391,539,201,135,651,408,011,351,841,276,132,985,532,154,511,
868,426,386,190,852,915,367,294,812,766,911,290,866,467,254,687,185,612,515,
911,503,100,647,742,146,745,567,388,507,295,010,033,220,173,506,405,648,587,
350,607,989,469,038,146,688,720,990,923,219,197,605,909,958,482,787,148,985,
347,485,306,704,393,259,637,610,249,645,596,490,654,232,082,327,113,418,410,
892,220,907,597,982,178,463,667,894,975,682,210,600,229,353,831,850,471,978,
384,581,857,563,347,214,325,513,370,607,276,903,879,256,692,429,767,081,288,
978,739,388,637,022,545,988,067,002,420,477,578,050,203,411,528,225,456,436,
774,178,956,376,581,130,253,445,671,266,430,847,154,078,495,471,513,642,316,
309,377,820,713,479,725,989,885,611,995,055,813,401,517,313,437,997,444,871,
583,818,492,734,899,925,932,862,283,624,152,821,748,369,402,692,867,871,102,
315,751,245,854,315,466,199,747,253,578,614,897,336,908,819,849,591,409,273,
025,015,715,902,128,703,652,315,176,468,263,177,920,924,002,759,143,396,267,
798,655,991,673,239,997,257,347,670,596,656,676,201,052,915,205,431,333,998,
382,816,684,913,226,167,266,529,030,334,892,886,850,241,234,990,038,480,006,
168,674,694,580,523,844,663,095,714,210,492,202,312,687,246,801,525,259,334,
123,751,671,234,014,149,635,901,609,820,937,210,733,573,284,849,601,163,985,
388,003,166,238,914,064,752,507,128,431,854,122,502,167,096,972,274,510,669,
950,563,720,248,200,918,317,943,689,786,082,116,119,648,357,041,307,053,397,
539,123,578,593,067,552,268,509,208,596,356,569,698,187,856,468,645,008,885,
495,298,501,960,733,418,995,750,373,342,946,396,154,416,899,015,885,905,580,
237,002,706,406,800,204,343,483,969,101,520,333,531,329,834,837,963,335,053,
542,708,942,509,395,544,995,512,841,783,418,291,134,952,377,061,310,591,781,
591,547,101,179,870,605,001,824,891,201,135,470,727,821,520,000,636,125,090,
262,309,287,684,504,123,085,506,838,087,382,413,559,622,705,702,918,666,118,
606,637,576,784,697,144,446,803,284,327,746,296,960,172,992,452,008,397,749,
470,677,823,795,514,543,097,410,318,165,511,411,251,432,244,940,767,047,476,
263,394,959,231,980,132,281,103,991,335,085,046,520,371,792,230,045,111,071,
350,127,458,633,250,877,004,203,120,576,645,718,598,441,588,349,839,215,062,
964,032,989,661,259,580,753,286,044,486,298,537,095,085,062,506,450,215,396,
299,120,318,786,207,977,864,758,801,860,218,764,947,749,365,978,866,606,251,
296,758,556,418,437,904,726,447,923,834,158,027,050,552,755,890,490,876,797,
363,140,106,197,038,181,848,488,893,375,856,717,588,262,896,641,895,920,859,
498,201,958,521,849,543,050,710,892,786,513,466,124,281,481,900,409,354,687,
242,403,250,943,879,682,632,314,654,975,312,199,824,338,864,603,122,418,166,
986,602,478,992,325,548,592,587,169,020,605,057,562,597,864,841,675,985,718,
358,713,605,293,082,848,705,397,966,526,655,530,722,623,247,673,145,841,993,
970,637,896,032,707,247,391,916,299,397,030,335,569,207,185,579,283,680,040,
452,811,740,359,694,445,318,156,600,213,582,570,629,862,791,216,017,085,055,
581,215,959,952,060,795,594,361,186,334,663,484,388,216,555,397,081,912,040,
390,330,225,532,831,327,505,911,629,045,260,891,933,969,532,145,916,569,967,
859,281,824,399,333,675,733,685,588,723,996,441,798,793,124,873,727,460,582,
504,156,650,153,438,379,506,159,983,363,567,862,561,084,004,809,861,111,652,
913,732,430,134,717,411,301,578,000,232,583,836,408,995,213,904,021,424,623,
318,223,872,921,795,664,621,082,732,248,491,442,644,950,123,477,991,052,918,
751,652,883,047,881,827,522,505,843,385,046,062,446,572,008,209,471,658,966,
768,659,873,229,802,296,496,377,092,213,729,982,802,945,044,933,138,745,230,
402,044,955,207,269,782,464,815,945,042,424,957,696,905,282,909,142,360,798,
730,834,705,688,650,555,567,830,492,825,270,438,432,648,167,622,312,597,206,
461,577,693,800,189,991,202,168,807,422,064,072,487,492,936,326,492,610,184,
966,292,402,778,401,961,186,248,137,917,729,070,655,847,774,972,997,499,316,
066,245,812,815,213,434,275,070,469,352,017,060,874,610,818,660,697,568,404,
946,208,865,176,810,416,007,414,062,577,786,496,074,901,802,160,159,430,436,
619,793,855,116,726,546,323,905,930,620,080,843,549,220,529,138,932,527,782,
377,627,542,626,150,178,634,677,103,132,134,033,961,447,388,353,403,959,648,
204,954,426,629,885,004,995,650,130,620,439,163,087,807,704,319,650,598,781,
528,438,352,239,716,530,445,569,575,286,918,967,712,309,094,123,457,792,822,
927,901,294,675,483,708,090,098,235,389,956,131,241,452,850,320,690,170,933,
101,204,894,555,075,070,297,219,154,782,052,646,818,879,504,164,597,875,689,
959,724,248,899,873,882,244,567,316,191,245,726,027,321,393,810,577,738,883,
489,858,477,187,359,795,422,716,151,104,028,169,613,256,360,541,749,483,866,
239,933,649,715,608,203,830,547,685,884,508,741,260,230,616,103,766,230,466,
803,215,246,096,393,192,247,723,911,683,371,107,598,202,597,564,703,375,875,
580,227,364,194,346,142,577,187,933,517,865,999,533,249,626,794,299,025,596,
062,967,944,909,919,413,270,316,145,177,001,591,369,118,810,539,274,078,386,
631,548,021,338,293,588,434,759,852,778,259,887,360,712,028,020,886,865,050,
265,283,404,210,169,712,539,607,662,219,534,199,154,890,955,001,522,606,857,
102,514,961,104,646,690,771,458,881,249,645,651,785,138,771,706,099,954,806,
110,324,851,752,311,773,290,799,975,506,086,430,459,310,077,505,006,392,881,
753,015,372,920,956,525,445,756,399,204,401,456,386,246,805,340,078,716,936,
583,723,059,050,721,857,314,497,630,790,599,853,541,399,320,978,853,262,852,
795,293,312,239,661,893,543,683,463,276,034,044,569,295,948,252,720,364,285,
150,207,803,584,202,654,520,495,243,789,895,796,172,717,555,288,054,666,998,
413,296,741,677,504,181,579,827,228,461,282,903,023,142,851,792,671,083,882,
299,123,807,505,222,292,767,406,427,481,539,697,163,984,590,892,934,215,628,
922,365,093,694,917,903,154,365,528,507,879,795,918,380,057,330,983,749,344,
582,994,851,987,842,939,178,131,151,201,974,699,880,928,609,677,975,551,011,
092,255,287,640,908,973,922,320,737,131,883,078,866,540,179,041,220,083,738,
932,113,778,320,268,438,837,660,565,565,966,739,843,456,084,947,306,281,164,
536,047,173,696,219,958,757,860,053,722,680,246,533,323,291,160,340,039,928,
127,447,696,121,320,408,070,700,524,998,287,718,008,858,756,227,947,709,693,
123,847,188,666,602,212,267,650,346,964,800,092,676,326,408,920,323,746,543,
935,423,579,741,461,109,952,385,070,533,201,670,865,758,640,307,986,866,368,
137,172,083,435,998,160,284,771,639,332,214,077,175,225,614,354,372,693,859,
456,472,048,228,817,494,993,464,462,282,241,027,208,893,963,390,758,209,404,
301,715,304,547,347,423,930,530,912,077,420,216,150,293,857,215,170,079,268,
153,567,517,972,632,952,812,919,188,148,405,615,972,345,282,410,172,626,007,
289,829,320,296,463,786,941,944,290,636,461,594,118,697,880,674,437,044,988,
816,740,646,900,436,582,380,217,069,010,396,636,336,584,397,918,655,234,755,
012,322,938,242,512,359,121,268,091,988,277,821,582,381,934,285,977,857,352,
867,709,050,737,292,403,126,487,826,209,598,312,095,762,988,969,498,338,664,
716,603,986,394,766,841,070,312,925,783,568,311,320,585,709,336,985,041,533,
503,220,403,024,921,694,516,307,398,695,171,232,570,631,217,965,126,584,186,
311,987,004,887,979,214,381,992,267,948,217,412,946,547,338,637,189,472,484,
935,928,058,079,481,717,782,026,792,795,409,241,841,661,524,721,963,223,371,
302,136,275,872,316,593,221,985,284,429,716,213,721,193,770,713,502,757,389,
159,295,098,654,750,910,009,642,380,412,798,270,943,234,862,873,452,877,247,
046,538,746,430,493,308,979,224,672,795,539,008,030,968,467,918,647,559,142,
264,004,744,585,089,078,214,226,744,219,863,892,905,413,461,977,538,300,433,
627,356,405,125,520,377,020,504,435,978,899,218,467,853,478,372,591,779,335,
032,737,363,903,541,368,665,418,199,896,772,679,991,339,897,711,149,196,664,
489,176,978,007,584,098,318,177,138,881,521,306,566,463,833,006,646,772,453,
037,464,249,205,766,956,358,125,910,096,020,102,939,295,838,107,956,036,528,
497,932,401,320,520,742,048,913,484,236,739,874,530,079,941,410,515,588,748,
139,100,879,144,833,937,866,243,148,593,500,447,874,408,309,087,921,369,036,
526,813,890,372,576,867,194,044,638,373,774,205,495,385,406,848,009,301,445,
928,689,168,091,840,377,473,125,786,191,491,142,554,737,433,105,918,451,570,
362,657,650,775,092,465,676,955,451,964,031,900,486,667,517,825,954,205,555,
245,196,925,368,549,328,641,372,875,400,471,239,435,376,951,594,029,062,761,
874,185,895,307,596,765,346,416,162,149,108,286,392,324,707,794,859,642,319,
218,379,228,302,273,447,932,496,538,213,720,719,446,578,520,527,329,639,798,
184,765,110,922,227,716,582,272,341,400,368,308,208,522,941,569,059,579,666,
493,850,590,249,405,079,063,128,758,267,785,972,824,755,993,622,243,730,026,
352,897,441,225,564,546,434,956,161,050,340,195,270,813,575,321,678,494,432,
154,993,766,962,544,301,654,243,482,483,015,050,098,407,028,748,112,001,109,
073,154,781,330,315,153,318,286,593,150,033,001,881,157,680,687,107,549,673,
422,330,186,399,995,707,587,788,757,804,025,496,909,318,405,413,786,598,133,
485,601,181,332,312,483,304,164,154,485,400,391,724,278,826,310,411,193,259,
261,039,281,675,224,351,438,507,797,032,650,856,162,996,558,674,131,332,515,
268,486,060,532,346,407,611,919,090,393,393,291,899,088,145,313,490,279,110,
253,223,653,166,773,059,154,367,942,614,652,096,995,461,461,196,285,813,893,
609,595,325,512,816,128,109,710,657,275,195,064,650,698,513,848,514,823,935,
446,215,901,847,039,632,031,255,741,037,220,443,593,433,847,704,239,200,832,
838,981,341,867,476,949,250,585,935,284,171,958,427,041,562,521,449,841,110,
476,679,891,905,160,639,479,647,686,960,423,059,341,582,311,151,426,177,474,
576,648,188,536,715,538,099,060,485,835,457,993,972,206,968,081,479,422,223,
010,579,908,709,879,984,338,638,081,281,427,591,920,970,061,863,517,718,735,
217,098,652,049,618,139,756,895,476,755,329,455,777,456,585,300,852,421,087,
866,410,201,350,334,168,706,442,422,854,325,639,355,304,932,944,453,163,987,
853,315,446,081,737,308,162,584,748,659,159,706,166,012,317,168,320,415,750,
080,879,894,428,371,370,409,214,743,339,811,298,187,420,725,374,265,951,143,
710,692,553,287,265,206,567,030,461,648,770,281,413,797,076,999,622,583,377,
691,385,454,144,645,071,517,096,376,218,357,998,544,898,974,501,472,903,496,
339,552,905,814,769,810,097,530,755,144,260,351,896,658,508,812,944,045,192,
611,948,432,796,372,861,827,224,350,727,041,970,839,135,345,293,135,702,871,
884,791,914,813,342,270,867,618,413,268,480,576,708,932,881,894,107,516,354,
097,701,277,682,046,648,448,761,946,821,861,564,014,521,384,214,952,637,599,
526,228,504,927,068,065,903,980,453,577,729,468,934,804,366,492,066,462,655,
123,378,332,822,396,037,378,885,510,847,802,069,233,907,122,951,038,617,890,
184,372,945,762,015,011,609,248,972,251,787,519,659,539,331,159,674,350,423,
821,284,593,816,418,844,558,017,009,278,639,130,907,641,302,173,264,172,003,
913,652,134,536,602,621,741,680,839,852,482,410,115,895,124,366,778,499,337,
642,572,110,470,462,199,689,253,811,449,026,553,310,519,814,021,288,622,220,
206,735,038,240,534,683,438,342,375,967,663,152,277,719,259,621,378,446,582,
477,868,147,983,704,812,812,795,782,465,553,967,168,247,249,354,605,943,128,
457,683,409,971,054,665,382,956,362,473,833,880,183,258,571,793,430,285,381,
164,784,354,131,194,021,443,538,226,078,842,885,876,401,681,380,398,894,231,
334,747,388,672,585,468,048,136,829,327,726,650,750,872,859,958,365,177,704,
461,158,264,397,967,169,175,171,972,308,811,595,503,056,514,101,904,204,099,
242,534,761,003,996,481,828,621,700,762,651,924,863,039,377,753,387,777,274,
040,183,613,118,596,205,789,969,648,833,566,399,734,390,512,700,051,835,322,
216,788,969,980,072,527,624,175,166,906,151,856,811,897,102,608,547,829,216,
201,984,321,899,963,156,033,354,707,466,970,778,808,044,374,988,507,221,768,
275,623,238,075,795,005,922,947,838,854,815,955,178,508,471,798,354,694,096,
661,038,065,304,730,308,816,142,884,542,179,381,342,196,382,677,104,245,608,
587,177,719,798,309,580,988,965,568,121,887,834,687,731,795,738,172,231,151,
901,554,324,459,236,349,376,968,677,542,564,484,494,874,939,216,876,290,045,
783,462,756,675,176,961,385,937,673,533,096,830,305,186,979,934,509,161,435,
744,021,449,097,820,694,252,968,961,351,228,163,743,462,841,579,094,333,725,
655,932,347,525,113,707,991,212,192,358,144,167,441,184,074,149,041,994,744,
987,562,920,114,843,498,084,236,992,362,223,376,549,514,884,384,908,876,273,
709,942,055,840,925,267,630,462,811,263,310,096,784,793,635,700,049,385,377,
690,104,498,248,275,142,381,595,672,333,667,625,061,919,016,622,785,206,420,
237,111,020,278,859,437,991,410,283,576,368,100,765,058,205,048,973,825,600,
732,470,902,068,745,805,492,425,152,041,302,882,503,713,300,790,376,909,377,
875,995,018,327,574,976,172,993,029,783,023,715,908,247,846,146,460,102,865,
163,623,865,781,403,857,292,752,667,886,583,218,991,012,393,449,334,756,015,
241,581,732,480,316,234,700,688,742,753,871,179,687,473,110,181,558,814,845,
812,327,048,989,589,282,309,827,942,872,538,418,131,593,870,392,485,857,025,
899,009,087,628,836,202,601,064,843,293,371,614,543,965,559,345,189,941,552,
124,607,161,835,355,964,983,782,205,703,023,376,982,407,694,202,054,878,833,
694,241,063,861,684,626,963,690,384,761,295,881,864,821,187,926,385,231,375,
172,701,800,171,408,650,320,483,849,286,348,694,675,865,681,954,973,584,241,
313,832,158,943,770,435,105,256,371,864,031,559,457,207,188,592,967,913,979,
833,821,933,311,474,608,619,038,430,815,609,902,426,837,693,317,439,449,349,
613,413,782,160,647,539,707,720,266,169,773,230,618,666,483,239,153,667,147,
474,589,435,803,869,600,106,243,316,251,925,600,734,916,897,312,966,656,016,
638,084,284,406,884,051,261,168,675,124,861,996,125,389,013,820,501,077,709,
950,442,028,033,783,404,415,033,995,852,102,012,849,242,742,182,834,431,591,
504,906,960,149,857,278,486,500,287,501,394,060,386,322,054,317,692,843,088,
164,170,306,744,747,918,305,579,797,059,268,047,903,417,875,130,491,138,478,
412,454,876,455,141,548,869,774,845,235,697,559,869,187,441,175,645,585,910,
566,812,790,346,952,431,048,025,248,295,962,137,770,228,729,126,714,851,050,
279,815,034,966,983,750,431,559,753,916,982,374,679,375,968,518,885,347,834,
306,931,179,902,449,367,288,078,109,159,570,470,563,243,757,862,795,584,763,
494,618,142,846,976,742,965,216,557,877,187,955,710,024,873,017,221,270,097,
560,690,448,661,704,728,129,742,142,457,884,455,675,845,696,421,587,053,128,
032,132,135,169,583,962,684,763,504,414,961,012,856,000,254,475,578,273,184,
144,895,879,771,134,540,354,616,322,529,723,982,185,203,589,631,681,633,732,
591,318,145,109,363,398,909,178,176,724,670,832,732,042,799,272,136,589,933,
638,724,302,416,608,112,705,513,460,005,418,436,840,101,677,599,149,475,180,
586,620,843,699,236,848,073,231,483,905,511,508,016,931,142,450,970,713,612,
943,007,363,641,262,866,113,638,831,759,007,508,675,344,946,838,777,109,014,
473,274,831,630,055,724,602,206,951,723,948,849,940,943,810,721,286,706,629,
885,439,813,986,467,453,621,402,337,670,509,017,195,195,257,636,696,203,225,
169,826,491,497,196,245,047,268,638,770,524,605,251,616,193,009,644,346,128,
754,129,396,902,845,917,692,181,544,607,674,506,734,548,752,125,556,509,745,
781,721,958,972,808,773,513,921,179,752,410,567,238,852,038,925,870,658,566,
659,646,537,662,085,705,791,592,188,652,878,155,664,393,449,738,477,208,891,
512,293,881,642,324,068,302,728,191,785,087,212,961,074,059,003,594,029,493,
988,942,975,299,760,081,488,301,560,111,270,195,911,869,619,251,738,626,835,
638,032,075,276,953,756,430,157,113,416,190,268,789,389,788,172,948,521,651,
673,574,417,028,818,969,012,641,232,812,078,244,624,202,204,556,784,417,025,
168,093,092,557,091,585,445,913,754,496,202,960,655,683,932,141,374,333,144,
381,901,106,878,458,473,103,756,614,662,223,173,872,401,784,223,900,507,760,
996,198,252,782,821,651,977,889,311,237,907,745,751,032,938,942,314,049,797,
593,919,154,059,505,325,893,779,707,221,975,308,466,752,787,655,431,871,838,
280,338,965,753,834,370,107,370,067,313,334,079,676,485,558,428,257,251,499,
758,721,205,251,875,641,427,121,954,322,602,562,209,502,092,242,181,137,409,
616,390,466,773,328,759,545,372,925,253,730,565,767,052,824,989,372,770,565,
180,684,502,741,023,938,343,161,904,757,684,321,030,651,519,946,685,875,747,
051,313,212,527,868,418,831,447,622,436,255,951,151,934,030,297,783,352,953,
929,493,890,877,232,747,525,661,857,831,075,478,559,760,906,575,843,328,736,
900,502,947,687,004,800,748,617,363,589,712,732,794,821,859,071,834,074,269,
656,087,937,745,311,054,171,899,550,977,318,206,402,068,521,508,582,674,499,
449,862,436,526,225,920,686,591,803,614,821,674,434,225,592,816,315,115,229,
306,168,113,381,552,029,536,177,589,007,192,489,583,685,267,570,554,369,614,
151,034,106,214,428,868,541,667,432,203,958,740,122,072,316,052,516,306,040,
901,418,359,354,873,009,882,783,767,598,800,760,570,106,525,072,764,256,125,
937,586,804,911,421,396,371,481,820,296,158,444,689,501,286,018,523,933,656,
502,851,470,242,402,253,949,858,136,019,892,689,121,770,210,381,819,223,537,
568,999,047,761,595,317,731,124,189,382,734,196,710,075,546,210,846,172,097,
996,772,024,455,036,596,972,861,924,283,354,928,204,589,679,643,043,512,956,
184,075,313,873,979,458,034,829,156,497,858,623,992,993,402,467,268,944,526,
202,830,312,133,051,347,744,883,253,998,571,739,811,517,860,826,103,294,294,
387,242,513,751,086,347,685,445,036,255,476,506,300,556,673,105,544,060,044,
547,985,794,277,132,744,621,866,002,490,275,464,149,128,714,292,722,554,028,
245,223,625,420,632,605,346,691,034,637,106,371,168,979,114,928,753,410,219,
740,977,650,931,453,759,798,768,783,022,177,003,912,054,095,647,039,835,515,
671,443,295,389,848,030,728,570,607,308,761,319,047,491,935,528,468,336,628,
225,720,031,465,806,147,341,362,298,969,785,775,336,689,948,261,474,056,811,
791,247,317,265,581,887,680,924,244,681,380,982,001,001,923,788,666,818,035,
738,153,990,175,302,958,788,493,900,465,543,921,626,201,045,683,288,824,305,
388,710,331,359,001,973,988,602,724,722,241,166,572,504,324,539,232,463,710,
677,296,301,104,018,747,791,480,071,610,812,689,557,141,386,024,723,332,713,
470,937,205,596,227,638,035,263,976,528,309,972,785,867,093,106,880,655,883,
656,953,389,236,223,489,831,251,303,328,288,075,051,233,341,634,650,940,458,
391,675,416,091,175,860,580,497,694,206,657,825,306,401,118,087,180,605,264,
869,343,891,319,918,230,091,140,203,556,143,334,338,508,451,175,626,317,505,
820,825,774,311,114,334,760,359,591,998,064,685,448,222,557,743,901,431,942,
945,151,600,257,221,774,156,252,376,319,180,708,790,273,507,992,130,502,960,
894,729,428,374,923,800,884,309,911,466,178,652,469,520,103,210,361,132,796,
243,378,464,341,828,679,736,097,953,101,141,576,123,652,687,605,126,477,224,
935,975,395,930,711,371,441,605,568,504,637,016,112,621,787,414,702,272,272,
703,181,764,589,343,352,709,948,762,366,459,354,184,518,782,570,831,400,060,
186,047,909,665,804,590,574,131,167,087,053,501,530,566,714,123,901,729,901,
527,210,395,495,448,329,458,338,267,325,830,847,085,585,382,085,991,488,519,
047,509,205,825,709,245,324,139,974,028,763,259,977,725,016,196,561,997,516,
003,819,537,045,504,568,235,199,082,120,353,943,475,555,319,407,497,781,851,
775,528,970,620,854,969,115,749,062,115,744,853,266,051,536,305,457,368,432,
353,462,223,237,781,794,019,154,660,741,953,940,242,744,945,972,632,273,325,
178,241,127,153,039,242,411,645,297,957,695,436,833,166,728,876,607,756,241,
450,665,644,953,323,793,448,366,128,838,941,717,053,404,138,208,460,974,954,
462,025,178,031,977,182,343,297,850,576,223,092,651,507,613,176,818,493,618,
075,144,034,226,304,390,892,943,277,400,543,335,022,004,564,103,439,337,379,
364,429,058,936,610,879,217,030,929,164,257,484,324,086,802,448,440,431,956,
671,319,690,939,675,523,519,991,143,518,741,901,585,831,573,532,687,712,815,
671,470,812,490,829,256,501,711,936,821,412,627,009,748,561,644,463,291,294,
842,271,348,113,991,847,417,137,431,901,579,817,856,775,782,024,845,711,245,
319,600,942,690,431,437,778,076,956,692,996,774,228,281,109,376,678,501,289,
735,365,701,380,002,699,633,322,057,027,322,155,365,414,722,808,158,791,158,
299,361,005,464,114,477,293,205,403,289,895,771,652,234,648,340,930,080,408,
973,592,823,070,064,679,290,889,704,076,743,090,642,629,228,325,059,389,356,
107,184,814,255,770,598,315,781,378,061,784,664,176,014,625,288,676,067,307,
544,945,705,981,626,347,246,716,092,679,870,787,197,823,768,692,457,595,181,
013,939,394,482,168,787,325,136,295,967,213,042,923,004,564,926,062,113,627,
920,374,875,438,835,503,859,381,141,389,151,395,110,807,800,402,527,049,143,
911,525,869,596,465,038,156,741,131,070,792,640,934,927,186,571,541,146,343,
248,960,928,276,401,648,047,893,326,543,980,500,241,246,214,743,589,869,086,
542,244,762,446,601,564,220,029,935,597,029,927,875,284,105,935,333,595,046,
368,138,711,457,280,571,696,275,767,116,317,900,741,760,037,370,357,594,607,
775,873,551,069,651,111,581,079,419,459,301,428,024,497,753,285,750,573,103,
398,017,666,819,618,849,416,266,620,639,508,628,712,305,027,897,067,461,817,
737,935,670,892,163,183,094,135,480,596,580,065,486,492,531,162,400,807,024,
097,168,822,857,076,097,082,893,254,139,412,244,771,862,476,431,882,148,394,
060,765,907,960,052,543,411,855,596,107,603,263,022,804,403,055,447,259,504,
151,333,301,622,098,589,730,508,135,999,674,748,809,527,856,458,165,219,673,
946,168,987,028,115,464,483,433,046,028,493,260,347,774,232,416,706,137,244,
937,554,530,647,690,010,038,932,403,105,516,489,429,131,837,428,055,795,255,
917,778,402,188,495,001,641,981,223,439,428,508,480,956,231,128,592,539,025,
197,760,873,472,274,407,626,234,251,368,972,622,960,329,021,861,097,318,343,
252,076,702,294,150,784,249,516,214,781,112,972,856,789,836,879,886,573,913,
181,703,116,959,025,084,537,524,969,094,913,880,784,927,639,103,214,128,247,
574,100,538,908,453,149,065,768,067,002,515,098,820,411,303,696,366,093,176,
867,612,575,637,054,907,212,094,020,445,276,485,528,193,249,840,743,355,954,
157,718,932,300,268,973,195,879,806,704,375,618,039,474,369,921,603,151,357,
186,062,398,944,851,577,552,267,626,953,779,281,652,369,346,578,696,357,221,
602,307,847,104,844,293,886,421,523,175,150,473,653,455,904,435,507,284,703,
960,186,652,035,148,506,602,842,099,201,105,274,424,747,406,274,701,961,898,
150,335,617,933,372,170,711,575,835,048,750,153,690,598,732,311,095,072,714,
640,251,867,381,082,002,492,119,614,101,722,105,615,927,774,469,041,439,456,
003,269,277,971,743,266,092,573,969,364,845,931,430,266,330,489,462,142,537,
060,953,804,090,355,461,418,013,048,816,910,950,451,346,538,062,354,594,054,
214,697,244,936,166,157,134,801,762,285,794,567,374,437,906,463,505,050,913,
796,909,779,964,707,236,919,372,859,042,372,411,498,240,346,020,306,771,619,
875,922,160,916,799,102,919,060,130,696,997,261,332,873,732,199,479,405,173,
408,459,261,594,238,549,387,660,676,918,445,687,125,000,755,673,400,494,327,
247,183,610,847,633,851,190,804,348,226,474,233,932,672,119,138,921,323,374,
727,409,952,751,164,913,615,355,670,029,275,392,746,654,039,736,026,948,371,
940,081,041,556,209,173,165,415,883,424,059,656,757,756,078,657,234,690,604,
553,685,100,701,712,546,063,060,774,627,201,061,115,569,494,737,001,393,776,
555,864,603,861,239,558,786,853,931,218,516,540,466,084,610,461,738,230,262,
909,872,302,114,896,042,167,043,760,361,888,166,172,310,056,705,044,453,941,
984,982,858,210,150,193,154,047,759,681,927,934,760,532,998,498,557,442,808,
091,850,049,085,037,255,787,761,588,876,665,159,735,661,133,201,580,661,025,
752,053,714,838,088,524,651,332,370,190,777,890,674,956,190,704,354,275,545,
732,038,311,616,891,725,487,728,509,302,638,236,988,046,023,771,351,054,561,
552,999,419,388,050,149,921,491,779,935,506,265,525,191,026,360,905,216,726,
786,232,512,318,387,490,330,918,788,243,434,958,000,150,633,345,592,750,571,
559,150,546,721,374,094,178,317,939,124,842,537,686,660,133,740,110,796,659,
326,589,421,845,188,031,519,083,909,438,374,941,651,910,104,759,623,546,069,
682,810,648,793,926,463,829,061,002,758,377,746,852,024,537,292,308,295,697,
936,803,077,304,335,530,867,267,651,162,857,344,799,446,175,312,481,938,760,
511,785,080,834,733,927,294,007,616,932,311,665,129,342,167,347,432,166,661,
973,454,946,504,434,036,203,947,882,563,033,831,590,832,058,438,836,943,842,
878,564,085,040,118,224,949,109,761,888,715,731,605,770,676,578,031,063,724,
738,011,385,695,276,615,464,133,544,953,966,191,099,622,154,965,820,420,345,
338,130,349,648,704,191,724,643,822,864,313,755,388,258,830,424,701,319,118,
731,887,498,332,034,491,386,267,395,485,672,068,365,394,135,316,291,915,509,
631,493,843,185,679,195,560,605,000,443,855,571,809,681,581,357,389,002,143,
973,946,309,042,648,641,295,949,457,560,454,155,484,897,459,307,221,166,876,
711,900,135,103,395,173,183,404,089,554,186,206,867,407,200,707,060,898,343,
263,625,227,131,541,028,549,900,536,382,816,204,557,881,148,240,696,609,552,
860,819,784,621,894,417,450,458,561,670,298,658,288,845,465,270,012,978,370,
861,949,909,306,028,125,310,077,155,924,252,712,742,342,456,624,376,222,499,
560,348,338,337,824,785,131,228,842,828,341,251,652,562,468,387,143,641,259,
540,683,795,458,373,031,010,679,178,182,282,490,867,921,430,970,905,183,726,
280,203,083,860,727,271,230,141,282,482,094,988,173,870,246,362,767,377,868,
052,833,760,835,293,835,526,619,728,268,625,814,593,888,402,851,687,600,492,
067,868,430,208,053,224,128,721,801,168,138,335,040,018,364,130,682,477,685,
774,290,518,502,245,121,962,624,806,857,366,010,107,573,681,383,694,445,455,
047,165,110,260,846,852,575,647,845,358,591,048,345,337,964,581,989,590,876,
886,376,198,457,072,371,231,803,370,527,345,530,222,255,409,272,276,593,019,
079,546,644,882,085,287,080,680,648,149,865,782,455,059,737,118,286,956,263,
928,439,406,830,395,701,394,442,982,981,380,414,230,511,048,054,445,273,826,
914,533,335,079,159,279,581,078,922,821,444,311,639,367,803,657,311,304,519,
703,766,007,600,173,935,518,865,613,057,053,568,339,647,139,314,767,542,278,
198,016,503,425,995,677,722,410,928,327,479,542,218,046,591,019,187,267,469,
847,847,981,803,833,627,472,662,334,308,238,089,108,333,326,020,923,864,144,
067,377,041,066,437,052,836,007,693,729,307,603,619,011,938,181,044,649,309,
270,185,975,531,410,326,347,847,784,476,296,950,259,110,347,766,148,186,971,
070,307,955,401,303,940,961,864,513,396,601,168,254,733,173,692,885,324,198,
765,755,236,337,469,668,225,467,960,596,500,427,120,196,534,755,983,765,148,
710,385,364,934,829,301,920,483,864,516,394,808,780,656,008,296,262,487,383,
754,649,245,364,365,381,104,734,996,716,670,298,708,088,533,296,458,219,149,
697,829,804,711,871,956,669,774,572,997,710,917,425,836,421,464,143,798,480,
268,394,229,880,352,538,251,313,297,368,669,752,576,468,767,971,609,162,377,
101,705,678,586,321,656,717,750,133,326,906,846,938,800,275,145,182,159,181,
860,137,190,167,445,303,273,123,694,767,034,804,418,963,477,147,841,056,682,
742,293,853,051,734,963,108,484,384,265,940,610,788,342,903,891,911,526,615,
818,982,879,811,656,501,024,261,649,567,663,690,210,731,550,358,391,484,772,
403,150,452,722,177,207,243,246,636,508,680,668,770,584,963,360,157,399,429,
746,843,009,297,611,245,455,147,015,626,980,951,950,872,183,176,106,338,659,
527,627,243,352,334,487,241,507,635,251,738,183,618,170,696,869,180,699,744,
570,769,022,906,492,249,352,184,644,146,254,610,173,830,549,301,033,440,827,
630,330,641,021,293,198,282,984,096,908,750,716,658,247,995,503,053,820,356,
257,623,661,609,122,093,693,065,524,473,960,883,704,349,581,521,442,217,625,
503,898,627,000,168,956,765,424,215,340,841,637,550,041,025,383,972,010,250,
154,241,153,327,143,042,668,765,202,559,121,771,224,842,388,773,421,548,845,
763,124,748,605,244,111,295,794,922,960,801,168,311,592,595,740,877,476,272,
222,689,600,439,170,874,305,516,055,982,290,269,377,864,315,299,900,315,837,
893,437,533,580,805,840,721,130,679,592,788,154,386,477,151,234,958,193,601,
282,336,212,364,580,240,098,029,118,817,524,944,814,747,496,411,392,967,545,
374,983,639,141,676,078,813,318,870,441,560,453,236,470,656,390,119,821,285,
881,210,493,426,465,297,000,700,701,931,935,636,755,591,569,329,935,333,758,
887,005,636,346,916,302,295,014,859,995,972,731,418,879,933,536,670,361,665,
049,166,449,427,539,257,143,609,834,983,885,475,477,700,769,957,522,675,674,
470,948,932,543,465,422,854,561,435,097,312,162,225,918,716,759,886,453,255,
671,932,103,312,460,412,238,813,873,518,843,712,199,290,690,564,128,929,837,
207,255,187,171,863,885,681,885,727,237,656,059,135,488,396,862,326,242,038,
236,860,847,138,526,528,785,390,438,896,197,474,728,685,839,034,375,892,444,
645,797,449,307,245,243,125,522,374,538,051,228,673,193,430,090,943,077,619,
656,220,961,276,013,131,053,752,907,843,353,909,099,100,404,183,560,683,263,
742,930,894,777,196,056,281,286,142,528,597,342,982,807,428,068,003,092,787,
415,938,494,098,921,223,642,067,341,411,774,043,979,447,472,031,713,063,869,
150,874,269,354,901,433,106,520,449,180,462,329,230,469,443,846,276,511,527,
593,816,309,222,342,054,357,785,084,326,028,527,617,595,154,048,749,149,920,
218,481,094,660,687,702,891,574,464,796,410,793,134,118,382,519,436,237,458,
006,449,651,861,320,940,071,807,212,852,757,726,076,115,591,638,467,432,373,
034,734,745,183,645,594,626,146,759,644,124,695,070,846,485,198,114,473,525,
534,292,231,244,693,300,708,175,176,221,005,482,415,876,377,952,243,444,699,
349,613,902,713,927,634,039,758,749,144,103,310,541,874,459,080,455,454,828,
004,111,369,821,194,808,194,827,565,657,319,115,268,681,816,206,545,664,549,
795,268,775,517,364,111,108,365,058,163,820,100,113,695,056,856,788,830,385,
588,131,524,525,819,417,647,775,323,872,798,144,245,066,365,294,732,595,392,
500,846,682,739,169,299,407,621,222,465,666,504,389,746,732,624,004,399,506,
670,005,517,212,890,964,585,527,117,705,899,072,772,758,236,641,887,825,481,
137,848,795,691,548,021,162,047,216,454,472,149,724,045,206,505,851,701,562,
307,951,792,966,751,834,721,024,030,667,877,423,856,965,350,764,312,386,490,
744,072,116,847,984,265,247,298,610,765,564,093,303,956,599,565,102,042,840,
501,634,246,246,821,640,002,380,463,897,319,429,290,640,880,304,925,380,017,
188,763,475,327,079,959,386,952,449,691,471,973,485,159,024,783,740,226,408,
969,325,161,970,298,931,857,267,642,351,824,666,479,442,078,594,253,230,261,
637,592,090,323,831,635,051,816,943,931,910,434,274,431,172,974,427,844,820,
538,728,283,056,618,167,910,514,411,716,537,950,217,433,318,753,432,518,058,
894,823,841,465,806,409,242,734,685,301,227,592,850,637,322,024,182,859,434,
538,954,989,294,816,143,810,313,004,168,506,665,773,966,282,826,813,599,655,
170,075,651,778,161,941,000,846,536,140,271,211,398,369,160,906,112,789,645,
149,029,635,276,389,030,172,278,393,816,594,569,108,345,784,598,916,670,668,
949,134,831,823,365,877,202,629,159,880,772,261,357,095,038,997,117,218,876,
653,347,334,460,967,759,500,519,679,529,762,361,450,327,739,897,067,396,195,
733,894,484,156,575,130,740,116,907,105,813,880,562,659,486,972,845,860,933,
043,691,585,610,377,903,118,365,094,977,695,048,843,748,310,058,178,604,752,
138,436,126,470,238,768,318,914,156,203,226,031,924,813,631,507,652,445,692,
840,501,229,789,525,121,213,510,740,339,705,859,669,496,631,583,562,406,833,
097,899,541,939,745,114,231,427,248,767,196,880,128,015,127,209,004,065,083,
771,799,444,692,813,745,993,451,531,976,431,468,548,706,430,294,023,996,692,
273,137,853,164,653,560,444,453,608,900,506,482,460,237,930,492,413,200,563,
479,044,534,123,303,145,282,716,931,927,692,076,887,578,624,682,995,727,202,
523,383,774,453,917,833,813,242,775,026,850,069,691,416,156,505,133,272,514,
746,179,087,115,599,656,852,479,955,101,825,663,943,237,057,615,881,472,192,
693,567,464,267,644,592,988,917,579,831,844,652,399,097,124,579,010,803,927,
361,900,206,298,515,596,189,851,438,375,362,916,170,397,188,924,333,340,250,
457,647,177,076,331,874,034,566,904,058,463,671,868,410,055,026,712,429,807,
694,759,209,769,398,457,173,456,605,879,420,225,597,392,657,401,965,813,709,
192,902,800,244,565,829,995,014,916,252,446,438,195,684,422,217,975,154,047,
514,925,684,999,542,511,646,008,197,274,992,429,860,349,199,798,694,734,778,
177,538,597,186,206,763,951,066,621,940,084,517,660,686,282,726,165,591,844,
715,243,384,503,195,304,994,968,055,971,079,343,459,923,241,263,242,648,237,
193,454,739,459,642,722,676,526,005,482,304,429,780,953,292,314,367,854,173,
212,364,308,566,756,684,661,206,665,831,937,191,940,538,359,483,184,133,977,
947,234,041,376,408,547,606,438,943,348,970,273,987,195,598,721,140,126,987,
975,850,016,172,412,138,010,994,447,244,443,024,208,072,889,850,670,815,260,
312,001,809,654,644,093,225,451,947,330,754,478,132,970,021,865,304,812,414,
999,080,850,779,845,586,932,201,507,941,624,695,715,650,882,748,754,759,365,
302,167,029,420,053,810,592,318,990,058,006,693,714,870,980,719,468,652,661,
041,626,851,751,185,877,652,845,790,057,039,454,107,232,965,154,641,440,623,
730,458,422,963,818,462,213,303,747,371,626,860,600,883,628,430,506,013,120,
925,019,377,256,622,054,920,928,662,217,043,917,954,317,794,106,419,792,687,
672,960,205,793,102,295,813,521,614,319,407,303,443,543,845,292,963,638,928,
890,810,117,345,857,813,774,468,335,226,575,597,257,704,303,005,378,667,560,
270,980,055,966,452,236,948,269,101,533,686,504,944,304,793,558,148,872,563,
668,816,238,217,261,629,059,101,412,558,417,339,987,823,887,591,811,801,674,
556,171,318,179,522,830,303,178,174,970,662,097,945,918,870,288,209,767,494,
900,188,733,746,069,707,245,604,062,007,875,042,412,634,637,955,906,911,843,
450,988,363,904,765,440,524,506,042,919,182,220,097,916,040,497,200,414,497,
811,468,579,313,749,485,447,643,321,054,184,087,181,283,012,914,484,303,150,
560,924,497,507,098,781,409,489,629,024,396,593,532,755,223,497,468,511,575,
591,902,608,409,359,194,147,994,850,669,891,238,063,361,662,133,976,356,729,
130,721,533,530,306,415,870,153,383,925,705,245,507,155,056,080,494,140,294,
104,090,430,824,851,599,671,719,597,488,633,095,677,607,665,077,780,870,739,
285,866,841,396,306,613,082,462,473,514,826,727,804,543,779,435,929,899,936,
806,424,534,747,628,767,425,082,342,528,764,855,474,649,756,447,108,813,051,
385,612,471,879,780,970,693,336,645,073,498,620,079,114,697,498,333,190,365,
763,099,697,582,825,867,073,664,125,469,001,060,558,326,268,071,618,825,106,
892,119,488,508,711,405,644,483,268,163,290,494,765,983,870,207,263,580,964,
020,582,486,042,733,809,262,303,844,349,653,927,490,615,139,321,018,046,817,
748,874,237,278,344,320,009,860,181,143,659,704,016,903,926,187,697,348,114,
963,749,232,892,282,479,579,090,513,067,354,597,344,903,237,731,858,999,093,
980,811,623,810,985,686,924,018,081,691,947,362,107,883,286,810,163,712,584,
538,438,682,787,740,236,019,439,790,471,994,852,162,115,018,590,786,214,891,
898,583,631,032,449,883,691,632,293,667,296,586,639,171,433,477,550,825,659,
956,602,192,925,660,171,748,553,742,292,380,524,913,577,237,613,853,070,140,
546,459,446,419,343,114,204,143,553,763,213,928,307,577,520,182,266,964,974,
908,668,486,730,606,990,457,868,988,932,992,227,412,603,278,032,604,658,955,
308,181,973,443,326,847,440,734,677,113,350,638,335,940,062,310,363,741,308,
743,198,501,936,331,158,519,380,776,903,680,651,885,866,206,479,269,640,811,
853,803,707,279,053,598,556,091,678,342,511,211,675,697,166,465,241,714,665,
797,191,466,321,736,519,677,277,479,660,314,049,724,559,893,684,386,537,220,
535,815,288,159,838,651,999,990,270,133,643,579,082,407,259,266,421,691,804,
410,751,039,670,575,795,932,985,819,914,020,127,662,327,965,532,272,947,587,
790,391,938,970,564,138,019,363,503,715,514,155,468,886,130,610,110,240,877,
783,227,113,628,613,700,478,630,417,532,026,899,421,811,795,526,884,405,411,
532,658,805,674,308,342,995,118,751,753,358,699,871,859,291,456,737,085,671,
717,501,156,186,049,774,949,522,391,130,156,038,191,504,593,511,990,350,317,
365,683,589,982,018,163,269,281,715,246,659,345,448,600,650,205,128,533,846,
892,787,928,379,081,933,796,783,751,309,312,067,067,233,236,851,058,447,860,
294,656,859,322,264,310,456,358,854,309,450,763,088,164,742,484,705,528,146,
594,925,380,086,769,156,333,197,531,622,623,487,723,126,722,296,356,018,875,
697,211,030,669,184,523,974,942,340,352,025,548,999,657,017,765,486,571,834,
813,385,773,100,975,145,627,475,719,782,209,376,203,054,464,340,941,226,612,
437,373,219,907,351,746,771,403,950,666,480,743,279,192,239,242,087,654,158,
799,829,885,893,702,503,765,108,965,201,434,598,706,475,627,495,496,399,507,
074,053,949,547,792,610,664,974,236,417,051,983,818,634,792,173,521,292,126,
647,420,847,403,612,566,728,015,487,918,485,591,497,914,795,042,091,320,567,
880,506,373,718,965,771,241,695,154,919,560,320,164,903,203,897,134,192,906,
584,824,365,843,283,269,234,072,840,360,929,083,824,695,468,283,119,514,214,
555,692,509,827,403,331,210,441,716,197,670,213,472,715,934,294,926,415,026,
852,240,149,997,647,762,011,364,756,098,660,000,169,601,584,791,334,324,270,
609,712,568,727,346,959,996,481,510,841,196,691,068,941,041,780,078,844,293,
628,153,127,954,702,191,501,414,066,020,142,076,823,055,344,246,767,004,717,
065,578,857,995,122,291,645,261,400,359,843,771,898,598,866,867,551,203,549,
075,763,307,783,618,459,959,377,075,655,462,432,026,397,744,167,465,831,318,
337,166,025,869,629,897,214,496,666,431,840,752,514,039,738,584,270,403,871,
605,929,325,504,762,265,379,942,732,787,030,666,649,390,749,459,744,978,566,
794,723,088,362,104,434,888,210,877,619,988,494,773,594,382,400,015,171,788,
864,089,611,580,740,649,382,141,879,690,217,402,619,488,513,094,162,367,474,
774,384,309,524,819,177,250,523,740,193,310,733,617,212,534,258,123,251,292,
664,018,410,765,747,810,772,101,715,790,554,554,257,548,810,854,256,660,705,
758,589,748,564,551,546,588,289,175,304,533,322,085,436,869,744,809,569,849,
097,969,320,604,145,027,871,958,270,450,444,177,757,433,482,288,521,680,882,
623,114,319,776,437,806,978,123,599,800,609,687,919,223,812,731,930,429,711,
620,112,762,339,413,850,628,336,608,765,931,579,205,625,879,996,771,985,673,
171,700,041,577,864,951,724,356,725,122,481,550,255,353,610,889,760,297,292,
171,913,897,425,633,751,773,696,125,971,941,689,213,425,789,796,459,616,721,
085,505,902,042,092,781,424,023,515,502,417,517,859,717,517,223,880,588,533,
008,319,410,658,365,203,853,814,900,942,055,562,424,470,465,947,097,323,934,
414,138,622,117,405,300,467,092,203,970,463,797,066,669,988,267,738,253,501,
731,563,335,061,229,109,217,593,997,269,155,178,565,699,072,085,489,706,409,
701,398,335,441,968,433,269,311,516,579,906,810,906,051,138,741,626,886,555,
098,938,393,790,486,375,033,261,460,427,267,754,283,502,870,728,679,071,308,
925,284,527,780,881,096,452,602,565,544,082,199,805,286,696,817,555,836,437,
748,408,104,668,618,132,682,812,589,135,256,196,590,256,732,877,840,214,900,
515,511,196,615,613,962,287,715,406,664,498,214,577,856,539,210,448,853,249,
171,842,960,894,191,990,452,043,604,348,697,146,526,756,615,255,493,614,828,
721,244,099,121,488,933,717,859,314,558,908,152,499,756,965,136,035,584,715,
292,876,620,081,467,431,427,933,003,176,358,971,627,532,822,465,549,620,946,
615,447,042,372,960,830,538,608,897,542,459,962,466,918,956,695,580,846,936,
168,513,445,815,059,674,195,476,491,023,949,667,131,977,520,456,111,534,104,
903,058,934,828,973,973,324,637,785,404,473,229,338,914,377,174,193,043,582,
252,606,058,670,220,011,974,708,786,796,707,351,356,000,335,774,753,001,149,
390,824,678,694,350,163,153,523,449,662,863,909,616,638,034,064,892,954,512,
872,754,719,937,400,760,310,537,477,735,786,048,607,868,481,928,089,015,713,
363,818,772,301,332,643,255,173,143,115,838,254,626,291,409,782,752,416,122,
711,050,345,134,027,780,603,974,401,076,941,723,008,582,311,667,586,377,917,
869,805,533,043,533,750,827,160,979,171,371,863,665,513,405,991,713,648,897,
360,923,226,066,596,169,215,035,303,882,286,272,227,229,951,859,844,741,742,
300,981,146,407,030,077,838,471,743,583,529,324,365,250,995,835,555,264,909,
980,786,423,579,732,875,427,711,967,594,968,428,038,344,239,752,292,718,011,
331,094,856,938,499,248,157,320,316,620,476,918,753,250,950,199,976,743,810,
949,652,645,560,627,684,297,227,510,497,778,883,853,908,953,107,780,275,408,
200,209,324,825,948,306,140,802,832,397,486,788,079,796,550,227,030,350,191,
842,102,232,056,171,065,354,654,456,447,171,386,689,281,908,572,476,812,812,
574,279,479,674,306,588,329,877,393,340,476,399,260,605,937,354,199,162,366,
685,883,112,635,551,320,314,008,196,059,503,193,691,279,258,164,836,584,773,
833,527,202,957,001,185,384,833,579,664,990,804,585,516,097,658,096,909,379,
751,089,054,805,891,225,066,344,508,529,409,620,986,934,461,104,057,790,115,
658,604,942,538,038,880,346,599,718,716,280,406,578,713,265,404,523,927,372,
323,925,630,794,213,272,867,557,035,836,513,782,087,212,288,290,681,821,974,
515,112,879,932,290,310,787,993,403,366,259,046,368,269,606,317,129,561,275,
200,074,492,959,818,279,305,255,168,551,868,538,842,397,702,218,865,859,295,
559,865,376,275,326,259,565,453,764,737,563,217,113,820,668,800,762,085,396,
574,147,969,045,813,929,638,138,408,980,778,150,213,246,318,413,622,165,674,
826,305,522,666,872,211,480,973,662,960,484,652,991,540,121,237,759,495,348,
388,801,401,513,686,669,524,957,798,483,585,228,569,754,002,168,470,659,000,
555,731,348,496,084,492,086,790,599,925,381,725,327,512,931,947,535,368,719,
428,522,580,764,832,836,116,945,993,322,576,698,668,125,415,435,621,756,166,
003,351,461,478,511,834,635,455,397,294,618,433,435,079,181,513,211,354,233,
201,834,974,109,479,211,346,959,286,937,245,875,571,618,093,378,934,471,853,
742,787,552,382,099,573,178,929,439,727,955,301,420,731,334,180,203,520,067,
100,433,520,877,058,643,388,887,099,641,456,737,729,202,130,793,221,817,537,
332,944,210,092,327,537,897,479,915,362,912,335,603,381,361,715,221,522,239,
790,010,785,835,016,460,481,818,286,764,833,176,806,604,104,503,322,798,033,
224,856,652,846,063,736,411,357,198,402,350,883,793,334,364,379,690,356,406,
753,898,278,093,481,271,714,595,203,688,383,370,941,190,612,933,014,855,180,
880,022,315,643,548,577,597,096,396,888,767,038,532,378,910,298,861,538,571,
623,383,651,731,837,590,893,137,581,804,684,238,172,225,170,707,522,093,849,
619,683,644,539,840,958,197,037,813,943,363,409,391,208,190,569,256,108,044,
395,472,790,324,352,464,242,644,725,340,638,521,537,054,879,639,482,703,951,
042,621,166,867,838,726,738,513,561,107,709,284,282,069,003,859,347,470,805,
919,386,246,446,146,020,917,731,496,255,857,116,597,742,163,566,286,898,103,
722,643,799,035,546,586,385,740,088,406,524,185,129,086,330,328,931,369,067,
036,214,932,136,732,669,766,220,015,952,331,214,599,244,081,110,569,170,386,
117,641,823,834,395,471,982,137,669,192,584,229,704,150,108,614,124,654,762,
335,570,679,363,891,067,736,396,702,951,593,622,157,317,395,754,397,929,567,
960,713,309,063,197,414,901,687,073,169,494,326,205,358,348,106,595,931,150,
519,256,272,490,919,842,003,527,699,199,596,823,829,032,187,757,965,687,674,
465,590,671,853,237,010,940,795,094,946,108,621,372,878,727,679,763,549,090,
397,020,186,096,138,416,486,741,117,632,727,146,108,985,673,129,656,864,460,
545,718,823,936,900,515,601,278,058,359,349,634,098,934,937,746,874,467,808,
553,233,703,966,750,525,062,984,758,517,738,741,040,534,619,241,429,894,284,
759,195,495,614,019,626,345,925,437,965,798,973,597,041,363,175,820,839,050,
631,978,334,787,794,227,261,698,787,751,491,347,763,958,437,567,772,772,082,
409,958,314,042,269,928,058,918,506,153,777,744,250,039,049,633,263,568,484,
049,480,580,977,159,144,081,293,127,102,807,333,622,372,035,228,233,856,879,
296,737,722,002,632,650,967,010,490,397,547,188,204,482,354,038,067,505,181,
748,323,824,773,168,945,561,507,811,817,239,578,301,690,283,088,799,070,429,
636,961,131,399,951,216,012,869,910,247,251,169,077,604,363,532,151,274,034,
795,244,420,224,194,183,993,725,405,968,022,401,075,009,012,740,903,745,967,
579,024,964,535,131,401,984,465,749,806,758,246,913,838,878,955,710,013,897,
344,218,749,720,568,505,559,881,647,347,641,285,292,831,205,240,551,907,250,
403,434,562,477,712,218,547,011,643,870,863,790,944,566,658,834,765,213,739,
689,801,464,294,812,704,702,222,796,518,224,551,619,447,065,250,344,727,209,
862,578,472,592,471,839,258,610,132,117,726,997,636,479,394,503,386,864,868,
553,336,494,556,445,611,688,034,899,223,287,210,246,512,790,864,689,611,566,
360,600,837,474,000,001,815,241,418,499,629,324,096,506,042,262,247,651,794,
221,039,605,092,576,642,185,503,394,489,899,119,693,926,995,061,408,478,752,
898,553,127,539,613,464,787,608,516,558,748,477,764,277,958,285,207,173,935,
395,489,936,640,032,349,882,282,650,797,349,454,598,711,683,674,518,125,923,
560,190,125,834,993,448,830,420,510,636,539,584,047,807,419,381,152,262,559,
726,984,059,426,287,353,758,277,721,524,214,143,040,847,616,283,856,862,401,
923,636,859,026,180,358,080,719,481,579,360,660,359,096,328,131,570,765,701,
869,669,190,142,070,755,761,761,454,011,769,483,574,362,439,343,818,641,835,
582,741,148,430,363,147,266,639,009,167,383,143,453,254,452,316,504,700,058,
161,875,537,530,738,747,375,922,062,150,582,969,203,431,236,376,539,259,654,
077,388,029,192,864,926,477,625,867,136,461,482,399,853,373,003,026,166,672,
208,106,456,153,966,013,258,374,645,652,571,737,342,800,484,981,953,500,535,
584,861,771,606,120,487,038,363,590,431,925,893,927,129,895,212,503,291,629,
323,680,277,344,148,110,720,733,514,344,559,946,727,930,328,125,126,971,876,
810,529,681,806,424,366,173,074,156,878,292,452,906,209,809,951,867,901,128,
350,952,798,333,565,198,012,344,170,397,264,789,375,054,804,244,936,843,550,
557,125,527,974,105,526,398,780,703,890,362,727,061,656,091,671,934,055,054,
136,687,120,066,052,519,515,908,309,626,544,659,451,210,962,938,502,268,058,
042,630,566,971,612,759,039,241,806,523,275,735,710,429,045,392,494,876,701,
954,929,189,517,346,333,468,782,681,470,721,261,290,872,031,075,004,423,448,
483,309,248,385,651,947,435,850,711,433,924,550,689,826,867,445,688,535,319,
711,600,156,348,701,074,743,783,112,874,469,060,450,063,101,296,641,533,521,
687,931,347,769,343,543,999,864,673,430,260,778,537,779,208,300,840,147,897,
810,453,977,153,327,372,233,529,278,602,286,370,025,248,112,710,584,858,846,
035,448,004,570,280,379,561,576,721,041,133,820,735,004,855,372,241,959,926,
542,739,899,747,814,981,455,732,805,857,919,137,498,811,533,628,015,534,524,
748,050,718,535,005,154,916,697,660,619,219,323,282,469,180,438,632,828,856,
361,569,433,032,416,120,777,976,267,350,825,310,213,585,252,484,940,107,097,
636,144,235,659,764,361,109,356,011,153,017,932,678,138,930,126,837,548,823,
307,591,703,702,216,176,263,026,790,024,669,522,964,896,410,724,217,209,249,
673,776,866,939,756,596,933,194,069,607,596,407,961,507,157,637,941,773,627,
852,133,533,590,837,821,668,914,132,188,711,519,661,981,156,492,527,563,705,
276,052,356,630,271,819,510,760,004,039,908,802,386,923,578,791,644,768,756,
399,352,148,588,916,767,537,845,686,700,180,963,821,920,847,928,783,148,487,
620,256,735,739,700,340,975,916,190,888,675,003,809,716,438,979,040,012,085,
424,254,888,682,663,240,993,413,214,290,581,728,937,250,866,922,880,318,056,
831,523,849,559,799,152,453,417,331,015,601,838,552,076,477,751,449,330,421,
560,385,906,326,190,939,886,454,030,866,602,702,652,307,150,483,957,004,880,
758,769,033,146,205,292,416,009,927,793,785,989,535,847,988,912,873,098,442,
901,448,938,770,795,203,581,581,384,247,342,712,592,802,576,154,831,124,306,
749,428,434,707,549,949,094,952,478,231,588,501,217,085,353,846,126,789,508,
950,495,788,783,405,112,009,903,581,003,020,413,859,914,712,605,879,023,310,
914,144,243,115,003,101,417,690,898,454,645,883,654,804,667,563,795,232,854,
950,484,828,903,410,926,935,359,869,135,186,813,351,849,364,602,056,041,485,
430,416,199,065,130,908,891,213,201,264,756,643,513,949,118,096,587,797,019,
553,075,257,871,288,205,030,538,360,858,063,452,127,272,949,051,303,241,187,
543,377,636,087,330,938,779,257,238,879,002,492,861,391,575,706,238,619,997,
988,027,897,334,582,445,447,115,338,977,749,245,295,815,631,448,291,496,089,
561,349,751,860,427,547,624,906,545,932,783,816,195,141,873,907,037,666,416,
592,570,425,086,359,760,782,421,406,439,637,665,293,511,864,974,807,739,048,
330,263,660,100,056,185,617,420,500,974,073,096,192,829,312,189,757,703,694,
277,896,185,401,146,300,918,956,231,101,603,689,534,681,486,744,461,429,795,
957,242,475,825,622,610,412,363,243,231,842,192,169,608,129,930,845,286,060,
068,688,362,539,454,224,472,504,406,934,304,902,801,504,669,677,716,232,820,
286,197,267,805,058,389,001,676,744,693,450,911,990,484,249,954,834,133,532,
646,917,718,320,825,436,172,956,108,378,737,368,357,638,506,212,064,280,918,
615,501,540,255,741,713,492,743,613,215,972,743,464,434,675,643,565,184,444,
909,624,589,202,923,989,301,975,469,262,743,249,389,757,795,091,132,707,899,
284,768,804,296,855,482,370,504,678,900,371,231,203,810,136,700,593,658,139,
759,858,552,235,177,439,004,310,475,625,846,449,408,820,192,842,260,545,859,
057,290,683,066,472,770,686,195,484,251,178,676,026,699,902,928,210,727,444,
922,545,787,209,556,957,825,639,668,613,750,774,612,257,777,748,419,680,259,
586,625,422,932,807,044,101,091,666,691,510,518,774,719,050,770,092,140,639,
964,066,814,027,875,462,928,849,119,746,738,453,626,720,329,267,332,649,465,
372,712,114,042,286,205,709,294,120,373,015,187,089,913,842,380,056,039,882,
435,829,305,276,892,689,164,016,110,377,101,104,872,535,840,483,250,709,247,
084,670,584,512,704,463,374,134,181,130,684,355,881,931,236,364,828,857,856,
638,068,624,588,216,967,876,051,784,381,581,493,827,557,660,796,266,602,184,
651,214,486,696,209,977,194,956,588,256,342,990,197,484,716,217,000,144,657,
132,031,178,388,253,343,005,236,473,932,417,232,117,975,364,202,143,313,502,
298,906,191,512,193,712,086,274,611,966,755,255,659,870,979,531,275,829,714,
345,654,182,180,353,649,452,439,736,953,243,770,812,042,192,140,043,864,079,
787,105,647,195,080,843,277,655,597,990,173,415,492,641,010,381,819,038,237,
266,601,052,639,481,317,776,798,846,791,017,899,189,658,217,505,523,190,250,
679,354,274,804,911,556,995,527,871,257,806,020,798,434,739,910,747,085,502,
073,229,407,315,915,137,508,773,845,835,607,469,769,984,812,136,012,497,900,
028,187,495,764,587,144,938,951,956,036,878,038,380,362,872,101,268,104,671,
157,475,477,721,716,964,972,022,489,221,566,997,553,862,307,666,475,191,681,
827,225,483,357,288,992,590,245,711,683,923,336,731,022,405,922,885,295,712,
168,961,103,080,195,463,084,936,268,316,135,534,412,866,395,325,414,431,421,
454,231,721,421,787,684,116,026,601,778,064,567,691,414,159,396,677,551,799,
204,754,445,454,528,417,251,923,451,509,130,207,790,623,025,489,736,236,105,
767,393,292,040,876,555,345,254,859,464,137,275,493,367,073,615,067,547,950,
838,584,174,447,918,057,288,249,121,404,797,578,960,554,550,275,676,607,611,
243,318,718,107,901,099,912,641,658,103,732,440,209,809,113,175,211,911,651,
267,965,278,273,617,201,908,913,198,817,160,225,280,499,424,503,522,456,006,
228,240,510,462,858,416,364,589,795,405,902,741,129,210,755,372,410,183,392,
946,157,425,495,443,018,049,198,396,111,353,790,829,438,631,949,426,421,778,
009,621,022,829,401,142,512,165,363,608,340,283,884,128,107,006,310,784,253,
958,202,701,376,089,390,972,525,869,133,721,377,014,052,511,211,709,631,186,
942,121,281,241,161,112,548,025,490,938,864,895,217,376,324,114,500,263,429,
502,763,912,935,969,725,302,095,514,627,320,757,843,101,296,318,487,961,029,
187,181,880,067,972,139,268,162,085,570,742,271,529,577,088,832,249,816,537,
416,423,325,724,430,580,247,525,157,044,204,654,015,361,735,981,931,620,658,
554,402,313,580,001,788,817,424,894,292,330,460,823,339,523,998,135,249,966,
381,668,850,776,961,700,772,744,480,704,005,149,410,820,003,914,352,182,186,
601,706,028,837,132,898,734,562,821,266,131,506,473,319,316,920,864,191,417,
515,493,926,531,171,187,928,911,594,047,852,053,934,905,716,355,006,314,260,
420,546,940,354,787,949,697,748,690,072,707,545,891,039,038,504,210,295,120,
087,803,871,203,756,358,006,202,765,365,168,628,071,679,324,606,636,342,934,
033,434,246,546,082,825,932,184,630,494,819,656,714,094,779,084,069,286,728,
090,538,565,233,174,004,635,381,922,964,552,575,150,314,218,040,163,076,146,
227,993,824,763,906,388,524,203,031,282,869,048,697,620,705,174,834,094,975,
643,656,839,620,691,347,950,478,052,786,736,764,200,996,233,959,871,101,285,
904,207,024,008,957,896,079,667,530,486,609,347,973,683,731,447,087,978,200,
277,347,761,090,911,850,202,810,991,366,189,075,455,949,799,841,141,476,012,
734,235,592,874,982,535,836,810,028,289,908,592,877,586,633,624,959,195,266,
496,729,420,079,572,075,432,054,470,292,900,711,905,818,654,121,333,153,650,
189,473,198,511,860,584,710,949,697,197,363,452,365,161,732,958,773,496,858,
675,623,387,866,067,694,359,982,817,732,946,681,436,140,188,713,823,803,796,
852,995,906,381,301,992,276,275,457,060,891,055,399,766,565,398,644,305,548,
946,659,574,684,703,917,703,059,434,064,873,732,794,114,893,111,568,514,241,
519,681,959,324,495,424,120,120,898,206,924,593,057,317,435,878,884,604,375,
588,749,975,594,700,521,998,874,492,904,269,685,787,072,174,145,572,526,159,
921,959,235,788,868,700,487,043,218,012,445,919,451,723,316,303,170,830,223,
781,528,145,102,471,130,723,806,178,082,717,910,855,768,061,846,100,269,152,
704,902,955,069,635,627,743,405,410,685,405,113,639,499,068,802,856,716,946,
769,978,057,863,136,454,464,843,382,509,224,056,765,407,733,903,667,942,569,
512,280,939,236,246,340,508,237,605,733,490,455,170,406,813,631,488,107,994,
418,199,196,936,630,151,321,699,770,073,407,057,760,788,156,034,908,258,407,
710,145,914,680,089,724,408,034,925,696,831,104,399,151,479,135,134,588,788,
479,456,755,113,228,862,671,855,046,981,921,378,164,832,782,202,217,254,902,
763,136,639,752,197,928,521,742,861,040,480,257,269,438,921,157,531,341,438,
326,763,773,781,060,936,510,390,267,905,381,497,828,414,215,195,922,620,944,
996,078,552,282,178,422,613,849,733,727,187,823,047,006,192,171,500,877,801,
708,589,936,957,236,191,723,818,866,917,621,935,366,176,121,340,017,016,581,
684,606,069,488,704,726,984,928,640,916,494,595,941,891,960,996,877,325,432,
099,049,069,992,162,015,294,604,902,021,475,438,711,536,286,372,408,592,800,
511,095,731,183,683,547,791,223,311,136,693,665,284,982,561,626,785,979,696,
038,799,909,041,476,210,431,061,461,245,151,565,506,755,015,899,739,225,594,
952,776,135,910,223,472,709,978,106,201,944,523,939,137,549,122,246,046,020,
045,576,653,106,710,009,885,321,693,290,510,563,082,392,687,660,882,735,133,
324,477,656,533,083,538,500,237,469,406,276,056,705,224,102,524,548,467,577,
869,082,567,629,302,054,702,984,581,687,462,072,507,865,244,165,977,765,596,
937,923,641,695,550,740,247,349,310,077,750,010,003,709,531,790,529,258,776,
100,833,005,008,952,630,643,678,736,941,978,127,396,727,488,747,559,219,524,
207,720,166,275,527,824,051,558,870,083,985,800,193,915,855,696,105,102,063,
640,638,990,698,213,675,125,985,539,282,515,366,385,887,862,287,159,210,685,
084,083,542,955,638,246,968,190,842,522,360,245,343,813,082,885,478,083,756,
195,047,956,329,908,884,909,863,362,357,661,952,415,732,242,561,159,592,075,
947,131,436,754,623,528,203,028,630,869,281,215,900,609,643,434,255,525,814,
748,316,315,505,503,566,087,424,656,288,765,655,767,782,714,369,229,486,537,
328,220,124,097,750,452,633,592,549,348,551,428,953,200,436,269,123,335,231,
852,394,503,633,696,926,675,896,318,895,434,940,138,121,318,881,448,284,575,
530,344,001,385,084,807,162,763,185,804,198,158,693,877,291,035,535,612,787,
981,957,105,750,628,404,448,311,798,617,157,021,709,930,811,262,772,181,297,
175,059,394,942,294,894,588,399,118,137,500,851,148,109,005,585,875,287,946,
466,043,454,341,313,153,815,801,432,394,822,187,066,361,026,758,722,738,665,
565,531,402,861,872,477,526,156,623,169,801,046,011,948,560,173,077,409,837,
247,741,563,767,910,071,983,079,943,840,584,136,618,777,883,338,257,098,546,
736,991,093,443,951,938,016,049,925,435,370,364,130,299,012,294,509,678,952,
811,674,968,902,546,958,672,247,259,796,575,425,813,528,545,758,461,779,302,
517,239,102,339,392,600,572,186,730,792,841,078,901,531,343,251,321,318,294,
499,287,137,021,604,923,612,100,176,473,102,633,024,604,055,747,570,921,971,
313,421,509,693,260,546,510,572,726,559,778,453,530,164,014,313,745,210,948,
081,434,749,517,827,079,142,835,635,052,643,469,342,502,809,139,772,210,432,
456,545,875,948,139,986,597,696,018,470,910,230,353,141,058,898,624,711,245,
339,082,169,308,177,349,328,097,740,542,562,589,169,220,548,800,687,389,727,
321,795,918,884,334,503,771,510,337,333,915,232,090,816,231,060,989,451,937,
927,129,927,587,733,771,735,681,422,102,213,631,145,127,021,761,662,491,726,
621,308,172,519,417,191,767,676,017,975,896,475,173,773,859,731,105,606,629,
383,431,790,209,420,693,460,254,212,266,068,343,835,547,381,220,696,669,706,
938,750,484,870,555,902,578,796,466,711,953,356,054,648,521,199,902,134,069,
695,657,174,341,763,370,601,545,407,519,449,505,081,899,444,448,228,885,299,
228,473,982,513,786,195,922,366,428,600,980,619,015,200,750,343,197,018,078,
778,462,829,555,378,786,258,969,013,375,533,873,181,666,661,833,998,577,489,
044,771,690,071,363,375,567,092,860,072,228,877,967,157,645,557,671,184,143,
988,811,258,872,515,641,772,806,436,533,380,761,041,129,993,717,512,530,917,
222,396,365,451,082,947,122,033,880,606,341,614,077,646,215,662,829,290,704,
573,537,698,760,436,668,049,473,502,745,181,758,986,509,562,759,631,450,833,
899,843,607,954,588,515,525,284,659,019,161,311,919,008,872,126,757,036,418,
459,922,605,835,768,380,505,850,006,792,027,191,433,831,430,106,746,568,518,
139,463,862,307,674,069,824,458,039,158,848,871,163,741,504,399,807,811,465,
198,868,936,160,307,322,525,638,567,134,230,930,392,197,498,878,522,665,670,
971,541,048,334,912,869,319,723,113,529,533,110,290,952,539,937,313,833,944,
348,336,018,601,274,280,789,270,906,614,680,151,596,734,072,587,131,929,180,
568,716,643,830,928,377,622,740,329,256,012,784,477,585,986,743,234,181,546,
785,192,013,126,122,915,586,200,179,189,633,972,086,565,483,401,128,234,525,
357,799,706,261,988,545,906,381,466,628,257,867,174,783,628,349,281,190,081,
764,961,480,288,488,195,605,038,910,903,093,991,175,713,633,790,268,590,916,
923,924,815,946,819,822,936,106,941,640,655,168,114,229,288,639,718,072,305,
750,013,147,970,376,245,359,592,356,995,640,546,926,424,162,501,297,811,076,
371,767,137,213,551,919,898,386,088,156,423,006,212,426,287,747,167,249,297,
733,411,637,050,190,995,867,184,901,729,255,766,436,448,165,712,877,078,236,
071,276,806,485,870,259,633,202,496,860,417,369,954,424,756,294,564,098,159,
936,024,930,248,405,582,840,589,935,650,387,214,618,728,179,376,764,332,363,
955,391,366,862,396,368,612,692,024,515,910,037,067,536,193,862,987,198,287,
595,213,449,598,730,921,704,687,127,363,051,019,090,149,857,499,555,624,987,
597,993,448,583,715,749,758,599,804,419,548,413,918,270,024,036,666,754,930,
233,850,837,236,270,699,925,319,430,475,737,772,112,380,999,643,832,300,838,
476,907,286,755,381,824,842,818,609,128,724,817,771,248,733,760,239,238,717,
108,534,173,549,779,099,224,430,330,974,381,397,522,293,775,036,216,893,902,
161,275,500,717,897,873,391,577,573,524,326,909,321,250,731,135,760,041,620,
307,965,756,852,887,621,710,438,439,549,885,561,740,753,896,896,263,471,201,
395,785,768,308,400,140,295,944,797,207,550,361,316,360,889,224,817,668,884,
296,223,159,151,520,580,767,508,738,235,126,837,197,527,646,776,576,205,707,
650,106,577,378,604,186,995,768,751,956,820,137,743,816,716,769,104,369,148,
421,046,830,212,577,761,619,531,112,500,491,260,770,853,314,628,360,508,148,
469,586,130,867,276,080,496,788,042,380,081,242,608,881,290,693,436,017,178,
441,285,482,690,442,994,057,257,810,293,015,816,802,786,565,630,006,944,036,
771,463,227,467,662,442,517,629,227,468,455,773,412,921,727,389,384,347,235,
366,079,377,280,587,480,146,410,808,609,156,223,510,268,277,718,341,384,021,
973,581,457,741,825,792,715,096,873,404,177,978,241,327,998,688,039,014,060,
622,319,851,666,941,960,233,961,890,025,937,323,516,060,486,753,627,660,230,
970,349,864,133,978,762,891,694,212,796,771,358,916,214,521,092,812,598,478,
146,960,827,856,423,769,518,948,432,799,347,838,758,114,863,047,519,011,415,
715,337,576,254,336,651,008,456,785,406,532,783,667,979,333,008,845,301,388,
421,299,216,054,801,021,745,188,100,481,129,978,114,784,053,840,626,656,905,
375,297,731,651,518,852,030,850,738,081,714,930,674,636,118,259,367,561,563,
771,901,094,451,343,175,829,997,206,966,496,858,043,839,597,370,259,199,535,
093,265,647,586,840,371,233,483,372,997,007,550,378,021,990,167,147,886,434,
385,715,093,512,664,808,104,959,678,886,389,365,916,000,410,618,664,141,980,
871,892,623,328,590,029,612,182,438,657,167,981,441,762,046,190,205,383,774,
606,192,082,842,023,224,176,490,600,863,048,000,636,923,258,373,949,229,675,
232,774,522,710,131,969,816,022,629,526,379,105,210,780,018,100,700,071,019,
249,637,697,247,812,448,185,358,735,457,058,798,771,820,332,858,296,624,086,
796,541,612,898,460,041,880,178,480,433,417,065,522,007,583,968,393,197,072,
716,562,634,930,621,237,992,789,742,638,713,929,489,872,687,010,920,321,462,
245,848,540,085,563,836,993,035,969,729,302,873,576,591,446,601,791,835,136,
425,548,752,710,756,504,535,327,196,518,132,830,938,393,261,578,391,490,733,
054,926,686,330,369,574,854,207,272,298,236,940,192,379,646,648,156,365,250,
029,987,685,589,837,471,565,966,923,289,248,571,352,022,957,786,074,530,131,
021,257,364,616,950,395,981,854,948,339,514,893,722,113,899,851,944,558,408,
067,413,754,835,909,931,227,199,644,208,264,034,747,459,550,023,098,856,684,
460,737,990,231,867,910,827,898,967,683,258,476,631,917,858,379,162,012,260,
786,119,922,627,783,956,500,267,852,460,091,767,019,957,486,450,850,773,005,
971,363,639,740,781,825,183,070,522,528,534,026,275,205,535,317,698,995,913,
036,107,685,324,224,150,960,467,737,167,758,408,000,451,083,528,532,093,275,
135,268,373,269,062,757,161,175,708,966,836,892,157,474,501,611,046,992,866,
363,304,226,567,674,802,425,374,781,306,653,026,616,179,563,321,913,443,495,
220,675,010,775,289,825,726,155,983,227,961,546,546,735,262,181,469,937,519,
787,910,751,084,293,475,823,824,384,171,114,641,579,808,118,968,078,302,847,
220,907,228,497,743,945,065,722,726,685,324,951,665,679,072,340,342,568,692,
347,681,895,529,462,310,275,418,688,471,306,941,114,192,514,527,134,618,452,
733,125,479,347,777,097,422,191,821,920,336,433,233,188,601,099,342,719,983,
463,028,244,170,231,191,480,933,698,390,503,613,690,343,500,153,773,195,392,
939,410,904,434,661,882,350,727,228,434,943,203,347,607,118,263,775,878,809,
396,350,667,213,234,193,188,186,815,877,244,420,330,522,255,887,101,019,873,
793,533,774,848,816,624,958,033,208,748,609,818,967,167,886,354,979,104,643,
178,601,622,254,616,611,649,379,040,561,189,174,015,002,934,397,475,512,987,
799,697,743,998,193,525,199,698,789,939,539,845,442,533,567,027,355,683,394,
749,438,172,974,185,062,838,621,691,286,659,870,473,879,008,101,292,863,742,
181,243,172,042,126,663,856,633,558,854,443,994,318,112,443,968,118,469,378,
928,673,614,049,506,244,761,732,374,964,414,678,608,693,946,823,348,180,121,
093,684,160,651,022,178,729,142,455,812,371,374,557,950,438,002,684,648,354,
708,027,739,130,188,137,285,243,321,506,797,879,000,985,224,693,731,183,081,
896,669,823,976,537,735,369,368,917,825,187,857,881,618,918,758,235,919,240,
581,649,465,726,273,323,850,389,960,649,309,661,108,731,994,881,364,815,962,
672,485,481,660,860,082,134,867,896,901,811,031,892,438,871,874,848,657,475,
566,260,867,339,776,828,982,635,266,188,346,973,248,110,654,828,280,244,129,
252,366,712,813,991,577,329,421,461,310,322,648,770,622,334,741,614,272,683,
768,784,295,154,272,945,603,388,592,162,850,496,916,268,142,625,161,090,714,
242,417,681,497,997,224,831,222,431,329,869,482,647,286,552,838,547,355,812,
994,937,802,131,181,929,946,722,499,990,712,591,833,064,314,594,034,080,933,
984,349,606,107,761,225,196,881,024,536,955,213,802,119,560,032,081,675,307,
042,781,419,898,330,380,422,581,123,588,970,477,739,250,565,501,089,215,510,
727,487,323,173,011,423,746,200,640,227,840,304,537,877,568,129,573,759,426,
976,478,449,789,189,655,752,609,341,339,333,552,355,519,090,916,516,257,110,
481,633,990,432,954,499,292,228,229,688,100,395,009,527,355,662,402,610,672,
314,697,957,375,727,913,359,802,555,239,387,141,564,668,763,449,530,270,784,
536,161,569,316,476,250,228,559,286,286,756,834,925,409,240,866,970,293,183,
526,159,142,359,894,833,056,458,162,642,576,266,808,261,105,400,368,094,592,
060,401,133,603,616,631,497,890,320,128,021,952,640,827,481,595,345,750,202,
806,653,440,785,778,641,741,528,716,966,922,846,593,883,742,501,862,540,802,
290,080,699,991,121,941,423,936,032,690,984,495,545,384,843,786,420,436,480,
409,902,654,225,458,174,032,198,604,956,607,016,646,463,297,488,831,481,450,
554,484,078,025,046,989,388,963,257,077,367,377,210,122,152,203,859,174,939,
880,419,435,754,843,875,140,837,465,650,554,140,534,437,163,285,049,594,980,
470,564,891,895,832,434,478,087,357,949,993,617,829,315,389,305,953,834,397,
515,495,546,347,286,915,316,835,380,504,254,059,076,817,497,991,754,820,885,
526,983,717,865,507,392,055,195,841,078,174,927,737,821,755,637,764,229,772,
609,668,929,955,333,029,036,493,624,133,099,323,147,530,216,922,752,734,221,
727,437,253,304,038,384,603,713,687,599,824,348,029,129,418,767,878,903,351,
761,141,840,678,030,307,511,209,992,320,529,204,960,766,047,017,798,981,227,
545,764,262,216,919,448,223,219,639,898,076,289,731,412,637,777,942,483,304,
811,578,602,013,510,151,138,703,252,703,390,109,772,929,853,487,621,565,576,
209,527,296,850,941,108,663,978,254,578,803,420,557,700,032,833,815,646,536,
848,482,141,673,949,488,377,751,111,430,132,026,187,260,570,095,564,344,699,
372,866,799,987,943,857,991,681,227,129,524,368,370,550,738,549,833,210,040,
773,515,423,694,620,491,973,558,595,236,441,873,353,293,579,591,479,782,147,
213,446,343,149,302,160,249,081,717,169,726,409,403,976,875,424,095,809,740,
731,931,983,850,703,793,840,779,379,975,319,282,362,542,659,094,297,930,933,
932,774,435,249,939,210,443,238,288,716,780,236,206,654,738,458,641,131,698,
300,558,079,230,590,800,456,796,625,874,872,082,150,068,636,478,667,952,124,
466,019,765,309,127,023,220,665,982,866,504,443,078,562,847,171,300,845,034,
914,845,866,472,961,826,342,050,879,973,763,071,576,261,277,505,989,306,180,
347,379,798,346,521,520,305,362,649,722,588,971,299,433,961,889,794,861,878,
855,310,812,315,305,600,259,340,982,954,890,611,297,482,449,614,441,616,636,
839,252,079,085,050,365,874,299,285,411,229,242,028,501,271,242,678,615,287,
355,338,758,093,132,198,200,120,109,307,018,635,745,808,470,787,575,217,758,
985,697,892,538,473,538,169,172,127,508,049,869,600,572,362,197,941,998,853,
561,474,289,188,054,220,504,953,513,471,384,542,715,626,964,076,577,225,492,
460,022,506,265,379,692,952,586,763,386,358,960,624,597,336,494,211,866,974,
429,085,516,292,417,367,017,042,194,628,226,300,568,605,358,764,300,521,470,
199,657,033,556,679,359,804,791,842,440,369,567,335,962,090,900,191,235,395,
955,540,484,269,762,643,320,281,421,990,551,042,679,304,366,112,497,414,612,
304,705,920,904,307,013,484,895,379,945,359,460,254,708,066,618,717,936,191,
227,915,426,303,847,766,812,398,954,454,630,573,400,375,645,084,086,567,111,
755,068,029,812,715,948,927,921,204,106,530,146,747,218,820,558,689,150,116,
980,398,921,013,099,130,897,433,728,845,630,704,613,341,413,434,280,903,958,
846,186,653,900,741,639,804,496,252,131,284,041,507,112,838,801,665,835,145,
126,000,823,570,970,809,997,338,781,453,657,490,800,096,577,586,460,679,621,
818,923,163,354,562,354,088,248,011,380,934,461,876,979,124,710,799,616,757,
152,410,523,978,256,917,490,611,951,887,125,541,363,404,215,473,213,102,741,
717,905,122,500,198,229,729,320,051,768,404,548,001,963,380,123,289,542,770,
525,210,062,560,187,205,722,810,185,907,911,697,240,245,631,440,392,451,619,
033,941,698,940,620,619,612,618,404,703,662,948,222,531,824,319,883,005,563,
324,616,111,980,467,159,339,696,197,961,063,935,928,619,746,633,366,622,808,
993,164,484,437,017,973,068,220,551,765,579,912,413,517,076,435,621,186,440,
718,055,932,899,977,090,037,150,497,471,821,881,687,980,542,778,306,723,597,
190,421,914,908,274,886,374,755,118,699,323,319,912,895,478,903,589,865,502,
145,853,194,471,726,659,811,589,739,577,843,392,124,431,859,948,075,228,634,
118,258,268,419,691,507,409,719,934,615,425,673,298,417,894,020,392,912,233,
775,389,106,049,928,796,434,654,699,429,065,930,598,052,503,559,542,876,849,
184,662,693,919,664,347,458,171,060,820,739,517,792,556,590,938,519,204,193,
735,099,895,114,322,427,614,888,502,923,331,845,490,496,703,324,884,036,584,
607,910,984,943,878,370,282,417,029,829,658,261,191,218,505,904,072,605,253,
848,755,076,529,518,951,514,912,058,631,830,372,366,752,305,746,600,025,007,
290,566,373,797,267,850,864,226,311,331,151,630,866,583,296,088,237,776,332,
964,569,412,658,030,831,765,109,136,069,015,377,330,734,926,279,663,643,043,
879,209,592,009,280,999,699,190,432,645,363,008,842,853,572,773,776,495,226,
526,849,683,716,261,030,647,307,966,575,107,439,156,617,341,119,120,949,792,
655,245,478,487,694,990,312,412,102,366,468,596,885,224,674,684,064,405,226,
736,582,704,299,804,627,524,959,847,883,966,189,325,216,985,737,551,858,977,
784,604,682,905,924,438,569,294,620,161,055,814,161,416,363,371,317,619,307,
201,132,406,878,261,641,556,707,602,041,767,328,034,437,168,185,783,217,276,
103,858,553,205,638,243,051,743,431,077,525,652,845,621,466,429,498,167,201,
911,771,840,497,500,903,104,429,686,269,590,136,843,974,083,235,895,702,894,
936,102,403,804,197,812,118,196,956,564,300,502,448,813,990,119,182,230,202,
354,186,349,074,861,364,412,492,396,894,384,678,474,689,321,184,644,952,559,
475,499,470,878,373,327,391,954,069,127,687,786,272,303,751,463,662,010,433,
372,465,578,744,175,693,642,845,804,523,394,257,276,095,346,680,867,007,873,
124,128,406,064,125,994,544,828,687,162,952,936,378,793,487,527,422,328,335,
328,075,341,406,057,788,131,144,644,914,549,148,269,218,017,374,651,829,636,
242,365,850,504,694,578,835,947,902,570,900,052,560,063,668,825,943,702,966,
973,000,537,928,126,345,689,724,052,233,708,172,451,419,003,611,394,210,732,
859,968,644,926,640,651,531,128,329,256,798,551,898,685,886,689,975,130,639,
496,574,685,716,872,623,081,111,269,318,850,869,969,608,215,636,024,500,536,
422,940,279,063,753,839,946,385,636,388,632,929,434,786,282,608,921,240,940,
024,316,161,138,906,923,385,716,878,210,391,003,419,693,033,904,906,475,722,
506,098,192,594,726,360,602,424,862,281,746,888,731,221,885,017,728,888,198,
109,013,825,543,769,561,406,454,538,053,609,785,637,062,072,707,672,207,227,
964,651,144,924,672,092,025,139,882,673,828,169,932,112,040,208,646,406,075,
370,297,300,273,687,373,183,185,274,149,642,784,031,364,403,636,874,943,679,
579,959,614,625,526,869,560,997,712,975,116,522,564,981,007,165,074,836,259,
260,036,561,451,576,880,929,452,403,728,086,122,260,482,811,616,794,201,354,
221,175,399,703,205,460,633,749,731,831,676,903,777,665,866,272,412,825,375,
686,899,780,781,885,900,607,467,280,808,010,655,993,389,342,928,670,851,324,
707,865,636,092,624,697,220,139,188,650,790,238,778,267,964,415,293,897,839,
750,383,582,271,124,442,029,142,799,778,782,867,516,471,355,502,582,599,550,
907,582,461,728,689,793,749,907,761,615,554,791,538,411,255,844,888,713,210,
427,310,900,594,191,305,613,669,861,541,895,554,484,718,478,013,910,694,848,
554,670,752,744,165,343,278,462,670,518,287,403,347,548,292,797,965,339,246,
753,452,025,486,481,250,890,898,739,177,671,488,426,070,052,963,662,112,905,
594,128,067,697,839,194,087,527,164,835,649,086,057,799,057,496,288,984,098,
869,269,870,711,767,789,509,713,348,980,264,454,326,534,134,137,923,487,208,
246,399,445,610,533,838,322,655,968,223,227,148,376,212,590,263,221,648,911,
749,718,563,245,240,665,793,815,071,775,541,709,125,046,408,658,444,070,077,
760,879,137,957,737,784,543,269,296,011,318,475,212,140,855,567,350,293,803,
409,209,877,846,216,434,664,827,060,839,826,694,737,053,920,670,381,303,786,
453,671,912,965,557,278,000,833,514,022,793,983,194,218,445,623,459,172,442,
983,903,268,717,942,607,818,146,628,299,411,021,493,618,093,821,289,539,206,
756,001,655,861,041,889,360,865,911,919,680,560,209,074,444,700,286,826,584,
305,379,387,104,488,133,083,490,719,308,565,579,706,075,331,461,531,524,452,
179,256,825,083,754,460,099,754,741,574,109,011,317,035,435,188,655,282,456,
331,932,768,508,319,080,007,877,705,051,764,290,896,277,589,260,375,014,100,
752,178,664,850,503,218,057,062,645,015,282,508,932,868,918,357,958,933,074,
593,547,016,030,725,934,721,958,228,866,259,899,249,033,980,613,838,699,737,
721,871,799,823,810,423,987,930,331,950,669,664,674,724,385,583,292,941,928,
746,548,681,332,887,173,297,418,827,506,824,355,835,819,789,974,442,117,969,
290,454,765,637,659,973,614,641,578,573,553,343,677,922,175,747,167,152,051,
361,687,330,184,274,650,043,922,933,607,293,720,718,049,263,956,927,315,249,
070,284,927,209,559,849,264,618,212,152,794,327,237,764,296,081,559,797,666,
461,565,804,986,008,853,404,154,011,967,204,684,957,370,719,630,330,821,364,
037,957,138,190,631,433,516,509,846,666,526,554,032,126,237,749,790,265,830,
582,700,548,049,583,418,082,888,026,202,558,665,934,656,818,039,629,952,263,
663,842,085,344,173,296,299,890,047,106,449,512,236,013,354,351,218,074,509,
396,529,665,951,396,213,328,195,877,313,812,623,474,898,745,884,893,001,228,
730,016,533,820,514,285,055,507,634,567,007,666,548,911,516,494,036,311,208,
421,961,166,468,665,197,707,952,052,885,240,635,881,573,853,079,403,882,678,
378,176,805,778,222,572,718,763,579,067,492,966,699,448,570,677,489,383,037,
472,417,527,505,583,629,393,454,845,634,557,468,594,949,175,616,268,544,270,
966,976,751,619,229,904,362,255,296,955,417,926,220,217,599,948,856,142,675,
375,958,616,886,318,863,644,524,391,710,335,736,056,128,797,642,055,221,587,
516,838,410,773,673,525,007,366,883,411,585,444,090,821,646,043,320,789,671,
552,482,531,031,689,878,896,543,546,817,841,585,682,690,381,997,309,419,246,
760,623,834,326,912,010,416,446,349,795,110,474,342,928,536,779,202,512,759,
052,401,431,686,611,394,291,088,557,566,989,967,921,494,312,851,525,430,159,
238,603,670,458,144,131,693,860,258,930,225,402,499,959,518,778,080,579,538,
261,169,675,405,491,000,383,692,434,323,660,138,366,060,777,605,457,227,887,
007,795,072,968,231,443,750,258,851,575,872,928,561,077,379,568,029,380,789,
748,950,426,759,827,575,031,014,150,128,428,006,114,121,287,288,575,893,067,
855,208,097,832,402,122,041,029,503,216,539,114,718,505,429,707,180,561,051,
055,289,840,321,071,981,826,905,934,543,113,630,792,655,466,593,653,330,616,
507,576,303,197,054,188,498,190,270,025,973,569,237,273,901,796,713,299,957,
370,484,635,511,456,101,437,379,861,554,615,254,691,609,059,432,848,894,626,
637,674,584,361,003,208,503,703,771,978,028,390,473,108,568,298,902,324,869,
923,140,735,105,762,007,130,451,300,343,080,226,602,404,559,529,752,906,195,
044,594,239,142,310,973,325,735,319,082,374,166,326,589,168,729,783,027,346,
788,964,080,780,359,594,164,450,938,023,840,694,863,828,350,029,937,662,599,
037,802,766,463,926,999,394,837,955,397,387,159,493,873,592,115,633,512,124,
545,953,320,269,832,758,471,084,665,633,306,352,713,898,433,499,178,961,147,
715,207,459,482,811,298,190,257,627,188,696,133,508,041,659,803,808,746,039,
320,570,533,060,882,727,880,629,364,181,938,693,487,701,795,207,817,452,286,
441,402,786,335,756,445,297,146,114,130,845,480,304,695,675,671,792,741,284,
327,272,697,636,750,159,244,995,216,643,260,292,401,798,768,164,508,902,407,
215,365,652,060,833,177,904,387,963,312,519,946,131,752,621,224,209,597,888,
771,920,941,310,278,778,109,888,429,046,192,465,893,714,389,504,015,265,546,
616,319,252,756,059,813,604,254,875,319,799,723,567,824,553,246,688,843,887,
130,992,858,498,238,377,176,373,429,495,802,935,879,963,113,620,192,335,044,
782,575,802,074,925,444,864,847,230,857,195,965,265,978,702,611,968,745,124,
514,713,656,332,977,463,242,077,228,580,938,536,204,096,982,541,582,946,249,
577,390,526,559,921,827,308,245,397,036,876,426,161,174,102,459,330,181,007,
918,733,131,275,670,048,139,646,805,529,491,116,000,640,761,627,961,574,740,
286,387,684,221,822,685,241,331,287,929,877,125,658,760,091,745,763,431,544,
078,883,224,901,326,117,691,202,617,919,879,635,359,173,498,924,838,561,139,
485,409,051,620,976,301,860,290,845,330,407,640,928,288,065,211,476,584,174,
001,316,054,291,518,600,291,898,841,393,301,330,988,339,496,117,365,007,818,
520,462,607,173,873,329,344,230,828,923,585,110,172,173,786,961,414,699,250,
208,494,418,542,440,181,401,653,947,446,291,899,974,769,055,194,925,122,929,
711,330,846,658,635,680,251,044,090,746,809,384,401,834,336,994,571,894,832,
646,508,191,946,251,017,386,935,592,194,440,574,363,573,111,675,876,883,764,
340,512,953,517,273,972,654,035,541,948,551,757,460,412,552,735,152,546,298,
209,474,105,195,637,419,040,900,870,481,993,045,399,947,437,053,017,958,025,
831,121,888,561,484,900,884,274,950,275,834,651,185,002,478,717,461,494,457,
664,871,953,077,543,120,743,070,800,090,965,536,058,954,120,085,043,301,760,
183,404,297,363,585,933,447,256,853,931,739,427,698,272,219,808,636,093,324,
357,885,790,054,616,423,862,181,228,312,752,976,220,150,683,411,702,083,680,
659,958,149,300,090,693,483,714,812,719,110,484,416,303,173,176,613,886,557,
404,066,415,387,824,888,574,462,766,224,781,986,422,742,696,556,520,322,823,
121,489,259,505,858,516,205,615,078,808,411,313,848,554,828,433,130,475,636,
076,518,905,143,759,057,838,395,408,344,780,301,129,948,095,855,183,930,296,
687,269,524,090,127,798,108,777,899,229,708,923,345,787,350,263,260,428,446,
851,971,800,045,481,624,407,656,793,813,150,739,223,110,095,125,130,447,112,
798,118,146,894,679,090,105,558,465,887,896,865,767,389,606,674,617,629,244,
356,318,345,634,083,253,098,229,962,315,163,926,963,685,435,917,823,896,149,
206,588,248,135,695,878,026,355,471,827,406,924,169,899,374,463,845,180,735,
071,674,565,943,580,689,298,810,360,701,538,216,103,015,446,280,095,362,654,
136,552,482,094,799,954,273,748,806,059,833,140,848,341,315,776,137,882,716,
026,953,345,528,326,104,727,948,715,441,148,599,413,668,446,281,655,458,261,
601,929,148,219,547,164,608,118,207,532,419,382,586,292,365,719,300,179,334,
482,384,121,448,151,090,378,279,323,635,368,880,028,060,630,905,398,276,668,
425,577,386,197,276,383,776,525,353,826,086,196,600,815,367,891,015,727,089,
898,231,174,224,242,974,166,021,846,795,185,500,710,742,639,237,742,242,989,
182,621,342,625,119,136,377,954,698,559,811,078,447,469,941,103,685,148,129,
535,959,936,936,319,059,236,782,445,339,727,953,938,593,423,300,077,436,398,
089,607,602,415,392,641,639,752,656,989,405,424,776,699,844,563,066,805,374,
701,423,425,630,023,101,006,736,744,019,292,121,697,818,234,146,014,558,972,
114,434,703,806,330,291,752,214,985,162,973,903,513,787,378,552,039,424,417,
668,045,475,001,966,907,950,604,941,303,495,946,045,498,628,795,385,110,713,
792,990,666,908,973,593,008,747,057,142,854,572,000,718,154,677,192,940,358,
329,348,431,494,968,248,088,160,645,844,815,835,761,675,890,088,231,118,694,
587,212,742,655,859,121,672,317,223,977,724,279,408,095,292,328,605,803,594,
556,433,568,686,149,437,483,145,050,034,031,070,166,599,674,787,026,834,113,
067,054,480,030,619,740,908,252,552,042,311,904,564,678,342,895,369,677,971,
386,358,849,716,660,196,527,544,753,274,239,108,859,317,270,302,219,826,700,
509,288,647,620,411,611,911,510,603,959,805,709,838,833,650,927,896,461,836,
678,153,509,600,910,182,954,499,182,325,261,800,572,510,075,384,423,941,238,
403,694,818,973,596,787,269,678,772,283,537,858,128,789,822,545,494,604,889,
326,181,258,356,768,945,731,795,270,202,668,346,047,132,390,957,171,512,923,
989,295,104,460,191,387,636,498,086,163,871,678,366,492,918,721,615,538,042,
765,902,716,234,586,375,992,721,414,719,965,551,693,258,790,788,375,602,373,
227,912,428,884,105,168,973,612,154,769,801,200,803,293,057,403,077,098,462,
922,488,353,778,593,655,190,126,314,731,253,153,565,683,761,282,212,822,575,
973,788,456,656,013,345,952,388,138,302,269,137,685,854,816,096,118,738,577,
894,518,094,074,476,987,030,394,999,306,179,797,561,032,632,393,395,363,150,
641,271,694,787,483,605,139,466,959,530,607,872,228,196,566,008,967,859,925,
783,932,304,300,470,485,911,107,481,694,857,351,580,473,800,809,069,386,768,
587,609,022,161,027,591,899,228,597,651,468,802,985,017,623,671,400,220,646,
742,183,316,437,827,375,847,501,784,716,338,738,269,973,342,702,224,710,320,
390,542,807,986,077,150,529,712,978,828,945,106,525,067,366,266,839,394,471,
273,597,605,360,830,178,880,003,336,377,490,599,277,627,805,391,356,247,175,
770,772,851,537,666,239,840,730,850,770,094,711,874,217,312,082,350,443,126,
443,819,603,712,534,250,040,343,556,809,449,083,181,094,599,675,620,087,832,
585,942,638,779,387,135,887,723,461,546,667,268,221,508,596,548,915,492,613,
771,465,864,526,307,961,142,333,614,550,437,332,603,927,200,686,646,939,409,
345,485,949,864,022,235,484,357,173,438,099,758,743,965,651,558,637,804,015,
492,047,586,259,639,679,682,962,013,813,967,815,304,665,229,199,943,482,819,
218,437,555,226,676,728,846,315,546,168,448,386,343,612,210,433,694,698,102,
200,537,367,841,000,189,096,853,422,978,612,014,001,921,756,470,787,731,454,
933,780,738,865,964,909,592,171,418,560,501,634,061,665,801,064,294,214,307,
932,566,395,282,532,116,632,841,206,824,501,372,340,179,079,643,998,616,565,
685,893,353,630,319,572,220,068,223,241,639,300,783,227,486,477,243,378,761,
863,921,609,490,452,064,116,036,367,693,345,248,896,901,710,295,478,610,391,
392,551,062,119,127,543,949,799,168,101,066,964,307,586,307,712,682,217,701,
148,146,281,093,914,170,993,902,030,634,559,174,243,858,580,799,046,954,352,
414,122,701,890,815,542,041,218,976,551,138,789,572,629,068,025,855,585,041,
581,282,586,315,057,589,398,020,406,698,572,292,230,071,233,047,370,756,439,
976,294,157,604,807,800,842,698,441,885,375,848,858,092,311,602,706,551,081,
403,518,246,300,745,738,051,464,099,686,371,515,292,396,951,282,958,433,655,
472,756,523,289,479,234,581,318,408,503,089,462,970,792,751,036,716,605,032,
748,299,416,465,072,487,047,220,992,602,639,306,920,996,828,900,187,860,672,
920,376,866,124,005,341,250,044,105,520,617,757,029,119,248,978,061,592,509,
850,160,679,444,464,109,258,129,394,308,497,988,199,259,652,741,043,905,352,
743,602,135,139,125,722,942,475,887,957,047,004,906,025,563,374,416,065,499,
031,877,446,876,912,518,818,276,601,318,328,011,634,008,639,240,668,241,956,
619,052,617,968,960,634,198,668,535,093,114,602,191,085,439,654,901,330,190,
652,363,359,694,392,189,648,129,509,162,430,360,847,602,404,744,926,169,811,
888,753,162,749,006,824,396,997,543,866,919,167,753,238,205,150,591,861,351,
423,537,010,646,839,344,408,917,585,972,857,252,165,908,722,474,409,559,806,
590,684,967,382,592,897,353,480,724,010,414,723,467,928,319,512,282,946,810,
464,748,271,239,350,766,614,050,283,706,870,318,664,848,551,134,583,839,810,
449,709,159,610,683,392,658,512,912,373,310,213,234,800,020,779,243,761,800,
236,309,400,379,458,680,831,354,535,086,553,126,938,620,920,957,213,836,834,
854,505,021,857,015,857,626,942,918,615,125,096,640,108,130,898,586,994,645,
173,636,260,114,051,729,641,197,364,322,648,657,339,636,380,377,548,118,012,
841,554,628,523,876,507,395,050,425,706,716,161,174,642,790,055,303,415,253,
225,836,773,901,813,200,274,463,898,812,767,948,076,025,802,469,818,991,741,
140,735,868,409,393,538,476,233,769,795,250,368,946,499,540,084,348,810,768,
166,221,134,198,255,476,890,074,725,507,492,478,541,588,860,018,362,693,124,
075,805,849,763,210,215,730,801,822,006,353,291,200,123,165,744,757,733,178,
429,507,873,563,887,613,965,535,094,196,501,219,509,486,780,533,941,768,012,
357,674,248,736,541,468,026,201,990,612,831,735,777,513,662,237,643,393,735,
854,285,695,254,226,174,202,514,372,775,227,196,594,987,384,919,939,388,559,
173,640,470,535,301,611,825,273,095,401,209,356,904,437,882,024,148,524,742,
666,684,928,359,057,682,593,939,118,139,805,373,437,274,303,100,131,148,913,
202,874,641,937,258,078,821,473,259,801,033,627,886,823,538,619,635,656,979,
757,822,546,572,795,152,100,553,425,028,568,912,427,351,637,116,200,284,642,
016,276,278,595,012,152,139,245,827,215,321,795,013,815,789,021,022,295,537,
001,267,630,275,686,823,239,088,695,803,158,810,097,128,929,898,824,083,369,
387,159,171,823,482,588,607,814,308,463,468,769,186,301,266,685,986,596,162,
649,910,512,602,579,333,339,892,451,661,391,789,641,789,060,928,531,660,944,
691,202,300,149,088,496,986,354,415,369,915,941,969,142,130,143,634,100,883,
518,783,798,404,024,448,955,871,018,113,637,703,455,950,238,928,169,800,437,
743,474,766,253,515,040,971,332,992,553,418,537,032,256,429,751,903,223,950,
440,607,022,374,955,373,732,138,288,313,514,846,894,300,224,436,983,525,808,
622,379,276,597,782,377,105,517,331,389,921,305,802,917,561,971,428,148,702,
528,415,370,885,845,508,387,441,360,590,514,313,830,032,210,803,735,196,868,
910,566,902,475,456,007,510,293,097,253,984,115,261,390,619,791,425,255,031,
501,953,188,925,275,349,027,055,436,875,893,183,616,592,457,123,392,121,885,
427,946,313,668,719,415,639,022,530,997,292,731,641,043,347,436,804,294,491,
823,742,449,924,448,579,886,707,301,848,430,043,922,114,783,681,440,385,332,
256,511,902,532,232,693,255,451,596,682,244,342,231,973,312,727,905,084,145,
047,844,897,371,539,738,385,920,987,956,797,206,756,084,003,019,438,844,818,
054,444,199,349,222,928,557,195,449,648,704,471,319,497,469,337,467,138,632,
368,964,914,433,627,042,670,225,164,509,098,218,238,011,059,360,007,891,906,
743,110,086,879,373,928,666,742,299,006,756,198,266,503,462,156,586,551,409,
268,526,225,542,303,478,666,383,658,339,358,532,905,115,131,524,035,873,272,
616,017,264,315,139,959,792,163,391,999,364,138,923,388,464,805,490,347,543,
699,632,242,502,550,902,600,428,055,841,209,135,811,337,403,668,304,593,857,
074,774,884,323,512,128,680,869,419,158,713,532,353,365,860,256,053,537,790,
533,484,817,703,999,603,034,129,433,724,244,530,091,805,947,335,994,573,477,
271,112,865,448,470,359,607,809,984,254,885,669,071,071,174,605,582,372,248,
455,714,255,104,149,294,374,597,038,735,745,284,423,336,624,327,946,931,317,
305,748,457,736,691,590,799,072,666,396,947,766,382,968,484,637,654,780,731,
462,307,089,993,747,372,975,053,201,099,470,201,103,053,965,924,655,021,737,
287,117,984,260,153,666,546,713,183,955,332,047,234,322,932,491,712,550,468,
513,167,085,246,023,782,116,594,613,783,977,760,855,453,517,655,073,842,226,
795,161,764,835,937,607,492,912,182,979,121,595,291,030,531,095,921,358,714,
029,349,668,177,557,038,717,510,860,495,917,773,903,296,621,838,426,301,563,
755,476,920,898,208,958,977,115,152,036,435,237,744,790,860,637,677,813,989,
107,288,873,094,327,406,287,636,554,024,155,942,224,889,512,979,185,911,293,
616,056,900,711,136,273,783,959,732,826,122,602,489,501,563,653,075,068,120,
573,930,944,416,738,488,235,393,310,243,391,827,703,635,087,882,162,484,812,
207,070,449,094,177,715,730,316,614,044,536,605,549,660,437,922,219,994,480,
530,932,987,997,779,155,994,852,180,793,452,835,182,310,137,115,389,772,975,
583,138,668,643,990,854,049,712,368,473,475,030,935,279,067,132,701,862,679,
446,211,639,345,426,689,137,885,570,888,607,378,519,647,814,964,223,742,643,
080,554,904,061,521,908,462,851,212,365,966,314,009,332,579,652,304,082,361,
171,609,282,016,829,639,325,901,421,505,287,598,614,653,706,972,139,363,751,
648,211,065,073,292,983,941,329,016,298,981,693,383,982,006,315,370,114,746,
324,493,580,449,926,272,769,590,536,494,420,968,438,849,092,623,005,827,660,
398,204,027,503,317,278,714,586,835,977,330,708,807,779,428,638,998,129,145,
096,788,153,593,972,200,445,004,252,565,224,188,797,101,375,033,550,299,209,
997,059,885,264,380,156,792,898,446,043,032,510,195,066,463,485,751,505,363,
672,304,697,962,329,146,801,188,250,041,923,475,621,009,358,721,427,022,420,
080,804,532,277,146,496,725,053,518,416,736,252,275,301,235,441,524,755,784,
917,052,096,902,791,350,596,602,053,980,474,825,462,317,390,905,579,356,352,
457,943,786,510,162,941,423,478,505,092,083,980,601,755,105,274,783,451,371,
210,138,917,646,442,347,152,060,730,559,375,854,685,589,766,757,736,175,367,
638,804,687,076,916,458,161,148,284,335,877,937,103,062,412,744,064,581,624,
071,871,129,511,818,715,911,207,076,604,677,843,783,141,603,404,770,555,427,
021,903,453,596,445,652,187,658,584,434,791,407,958,668,516,594,131,047,566,
309,454,392,665,878,722,046,192,551,095,011,186,313,526,491,278,142,511,999,
585,812,132,869,571,677,646,445,034,687,963,574,637,288,519,248,105,960,404,
571,351,737,577,899,487,501,303,428,692,696,055,713,330,759,789,720,082,477,
505,777,134,840,580,060,290,558,780,535,601,433,647,845,674,324,661,928,113,
979,086,683,867,170,182,691,331,805,755,735,832,752,107,452,336,244,315,472,
373,105,119,161,694,309,917,791,844,849,628,200,955,682,828,582,733,490,884,
223,032,058,511,459,925,783,632,002,243,210,292,165,423,584,082,249,010,789,
297,018,492,911,257,366,887,405,112,122,144,351,950,745,553,258,750,900,195,
733,824,491,338,696,340,550,646,423,826,546,832,190,110,193,361,121,679,025,
434,521,753,109,799,788,472,320,763,809,141,024,175,929,263,011,915,603,585,
910,210,953,428,879,010,805,243,845,096,944,164,266,977,090,910,583,389,733,
260,878,685,667,151,164,791,203,791,308,935,324,802,675,656,094,729,094,322,
945,620,342,769,249,067,381,902,519,574,585,830,283,882,352,752,751,855,297,
967,417,378,874,764,595,521,593,898,772,564,551,070,308,776,028,310,561,488,
735,512,493,702,816,855,864,977,965,303,673,297,276,303,703,612,790,244,456,
498,344,617,544,813,078,961,535,433,501,087,134,022,713,387,696,846,216,129,
076,700,481,360,810,388,715,029,751,314,465,834,746,362,678,512,167,877,280,
774,399,811,799,447,170,955,388,200,813,252,711,129,813,651,195,992,817,620,
770,071,482,226,313,243,517,133,339,113,565,590,158,865,107,705,167,678,038,
548,236,925,400,555,443,463,255,039,607,011,320,883,704,834,811,093,606,831,
232,876,391,645,922,566,115,356,371,556,773,239,296,746,972,049,184,401,127,
624,686,879,411,222,817,524,602,885,455,235,272,165,069,000,203,352,324,156,
855,604,716,075,982,393,340,082,644,005,534,384,298,535,493,426,752,258,019,
717,807,352,603,961,481,165,559,915,871,139,649,521,814,320,134,280,019,701,
585,677,573,340,508,260,221,414,123,341,393,376,935,244,246,678,053,618,625,
513,867,756,076,491,718,369,346,756,147,494,656,807,652,242,914,142,994,531,
096,864,132,476,657,449,566,893,064,478,019,866,838,195,314,182,437,134,342,
731,380,045,710,706,555,368,155,260,907,372,140,283,481,146,061,325,665,728,
436,186,371,913,567,041,600,765,238,381,230,711,775,494,281,512,984,395,797,
727,736,577,594,781,231,597,394,869,294,754,101,379,460,033,692,684,434,555,
343,794,416,768,928,041,918,999,494,019,091,490,690,539,977,035,681,268,628,
615,349,969,290,755,528,366,422,714,497,645,347,016,297,135,012,369,639,479,
965,564,405,807,118,197,286,719,697,143,872,751,675,811,060,117,830,636,176,
129,280,390,783,459,035,598,143,368,878,415,759,867,948,797,655,932,122,219,
880,159,778,085,614,501,554,668,261,683,609,720,300,598,253,227,229,928,086,
523,654,550,565,063,240,990,013,277,774,093,916,932,824,577,138,465,853,720,
290,591,456,498,068,105,316,763,790,742,999,932,783,194,277,531,886,714,766,
086,884,603,123,252,138,441,052,888,670,897,897,239,438,001,712,814,022,969,
136,343,397,961,778,617,983,549,740,230,006,256,410,988,702,540,913,983,315,
897,146,623,141,146,439,947,256,165,579,605,803,344,519,486,004,681,915,448,
516,191,277,633,025,417,455,874,327,287,184,188,949,089,655,403,016,843,716,
816,777,985,875,382,002,920,736,668,121,483,692,136,213,729,969,709,804,637,
249,033,282,092,168,616,585,101,758,832,021,951,231,559,923,157,365,847,653,
993,734,516,286,899,411,466,447,526,592,890,826,293,665,930,773,731,824,451,
483,037,960,473,435,279,211,690,604,953,433,371,789,125,200,654,354,113,907,
011,848,476,125,418,731,544,302,320,771,881,802,189,066,443,943,160,899,731,
185,482,858,269,696,317,080,871,213,426,671,414,707,695,731,204,043,624,341,
466,942,659,953,639,733,206,589,416,943,657,341,208,586,853,828,642,895,477,
470,449,202,515,305,803,397,469,366,611,264,648,283,248,708,779,158,375,221,
365,272,856,518,296,434,955,099,956,480,185,081,807,149,016,642,675,295,786,
816,380,622,214,063,829,948,132,227,402,372,732,770,910,663,833,791,422,936,
245,882,109,355,878,475,884,457,080,567,572,275,876,983,704,168,481,575,139,
383,454,632,876,240,415,244,671,953,186,204,038,224,465,798,125,875,017,348,
563,030,718,041,771,959,298,058,931,749,790,114,282,150,071,885,479,013,950,
416,062,456,058,551,357,640,381,451,116,269,428,319,740,645,565,155,846,156,
335,209,400,521,609,336,045,908,696,212,373,258,825,417,020,588,936,358,408,
249,843,704,752,805,834,112,650,824,227,771,601,151,890,997,926,375,446,592,
004,689,515,409,651,826,081,631,844,190,403,325,865,852,099,060,885,172,685,
615,905,940,763,509,445,578,520,072,349,098,111,841,193,660,213,260,988,618,
848,722,128,017,366,425,026,220,234,908,966,003,257,140,400,158,775,751,926,
809,184,000,215,802,877,728,750,783,427,804,595,141,478,171,550,073,431,025,
610,856,745,230,771,148,776,687,187,090,097,816,782,640,214,405,973,571,739,
657,435,435,828,999,444,995,545,927,958,934,915,709,207,241,626,007,677,612,
702,901,546,615,310,107,020,583,687,710,575,267,102,975,074,443,723,171,132,
102,460,513,635,042,118,672,040,490,337,932,593,695,177,709,605,229,029,786,
965,547,720,638,363,474,064,325,695,250,704,863,453,462,085,891,219,127,294,
076,788,480,624,068,747,335,682,229,158,268,790,597,941,339,834,028,336,293,
958,487,169,920,656,028,360,100,887,945,595,188,676,807,655,379,200,288,024,
706,212,405,872,306,056,909,412,571,162,818,825,203,120,643,066,849,732,078,
512,049,999,440,967,215,039,363,611,897,392,026,653,211,072,627,620,493,053,
030,389,994,701,631,351,384,451,838,057,000,451,036,816,656,360,702,245,780,
649,036,008,449,395,747,635,103,612,556,216,663,375,081,810,369,042,596,352,
325,626,352,716,895,288,135,661,233,039,675,893,931,791,838,355,732,047,251,
696,066,519,243,268,323,598,592,502,526,556,178,383,170,350,151,083,512,577,
797,775,566,278,662,947,760,507,718,286,945,234,802,078,912,411,817,138,017,
102,511,070,525,077,737,355,508,902,155,299,623,041,919,948,381,776,065,002,
622,504,996,941,655,875,978,632,309,552,740,119,273,158,351,717,449,666,910,
915,141,311,811,027,652,560,782,793,732,019,334,520,732,311,010,690,568,062,
937,488,878,906,537,625,950,019,680,175,587,858,941,809,300,027,340,696,701,
415,715,335,199,956,969,237,132,254,179,513,630,488,932,199,607,232,691,946,
077,560,271,809,661,725,204,247,616,012,859,029,292,630,741,286,931,824,175,
446,197,247,023,246,470,791,559,630,521,465,741,891,978,164,128,470,750,291,
096,568,616,582,059,211,117,300,602,823,414,372,479,529,591,249,322,600,099,
781,055,613,069,327,142,564,176,500,998,842,241,791,252,254,921,781,582,077,
818,383,813,576,469,567,272,699,942,813,878,281,204,088,728,175,381,452,741,
126,630,768,681,107,693,474,490,806,645,596,116,977,172,639,908,543,744,285,
908,723,313,073,717,080,480,131,971,169,917,274,852,859,515,570,530,768,782,
815,518,837,203,642,721,311,266,126,924,390,371,520,534,609,948,594,815,814,
228,363,653,988,725,555,941,476,548,665,649,704,798,729,950,627,976,815,236,
825,312,356,010,512,783,813,056,917,312,141,716,609,608,750,773,918,244,732,
663,073,248,869,267,535,163,545,987,775,471,990,514,197,459,371,792,383,298,
323,247,747,563,242,571,561,797,704,531,771,950,350,803,467,047,321,199,692,
727,993,242,018,779,905,767,562,967,583,857,012,466,220,043,843,679,110,550,
041,095,982,327,288,854,614,127,275,222,744,620,450,637,965,994,215,212,977,
835,154,437,242,653,887,419,118,752,863,194,726,131,076,092,293,097,053,358,
638,193,650,715,054,416,127,064,891,045,637,607,697,441,699,477,556,651,743,
085,924,049,525,832,481,404,509,435,026,321,377,431,539,385,075,049,255,115,
691,367,218,007,999,547,199,030,956,262,138,884,676,343,866,198,831,687,530,
519,009,018,615,015,792,581,674,569,425,752,053,970,403,364,196,363,445,530,
942,339,069,312,674,368,063,820,891,419,117,694,232,919,069,984,754,211,160,
911,621,654,477,406,779,545,271,874,675,621,541,072,935,029,483,714,426,922,
344,146,433,010,068,269,650,900,170,399,379,003,019,994,200,644,467,629,467,
498,744,840,579,668,009,673,591,133,587,858,594,517,143,826,278,571,448,486,
954,949,475,186,556,467,096,303,482,243,989,967,965,742,488,951,524,936,138,
305,532,710,571,278,858,284,811,931,012,847,106,598,526,797,134,628,653,987,
475,532,027,123,868,859,020,467,451,155,275,431,502,312,958,090,126,060,063,
464,494,187,649,207,048,754,264,975,940,396,844,752,997,643,830,943,647,456,
309,077,201,740,366,657,330,480,646,002,622,920,554,036,142,839,553,383,402,
119,208,381,774,221,787,321,279,793,835,029,592,949,198,656,485,432,821,461,
156,146,155,081,684,968,878,663,573,286,850,894,039,780,513,783,344,528,052,
292,802,653,119,401,441,502,235,263,539,460,069,447,849,236,376,981,850,899,
185,699,622,412,618,108,704,446,042,477,269,909,751,087,175,101,596,910,352,
163,284,562,357,646,083,832,981,174,299,543,331,732,892,729,783,067,884,264,
974,915,818,737,271,780,217,264,495,824,697,125,396,587,496,518,302,445,336,
609,169,320,776,275,712,159,664,544,053,947,123,005,820,581,449,913,150,704,
037,957,122,616,282,662,394,408,094,051,945,447,328,943,486,506,225,773,580,
583,152,678,815,632,329,578,540,258,374,561,518,389,336,381,384,097,376,857,
396,430,366,448,480,842,484,138,839,540,526,440,373,516,014,140,869,874,922,
699,508,606,895,221,903,768,983,834,298,236,489,880,937,986,634,513,041,705,
750,992,199,851,894,067,681,003,337,068,241,295,558,432,928,526,194,191,153,
194,625,853,505,239,613,941,723,091,588,022,280,185,033,633,527,382,208,770,
529,136,773,333,212,427,135,931,783,467,817,283,863,543,944,511,304,437,237,
122,367,868,265,560,593,182,237,368,044,094,777,768,243,798,283,811,805,268,
714,844,765,353,596,284,667,195,086,200,151,249,485,068,902,824,825,415,857,
675,103,297,793,353,433,678,363,715,195,681,121,759,537,263,182,897,823,609,
962,869,956,917,542,030,817,607,083,700,710,027,598,437,308,255,026,020,870,
898,120,572,052,254,320,649,502,970,164,822,643,768,353,677,977,564,522,974,
672,525,389,238,382,174,953,977,109,046,568,676,992,622,645,174,666,512,281,
287,689,507,632,064,141,842,467,219,187,391,183,296,768,270,084,805,902,982,
475,461,248,762,233,232,972,158,929,912,555,384,843,910,717,897,040,694,951,
054,084,270,339,440,251,879,737,879,534,384,264,045,478,382,757,710,373,356,
282,096,355,620,528,990,818,595,849,272,439,890,509,982,217,116,002,352,950,
040,974,524,828,051,834,693,814,997,581,897,726,597,263,470,880,095,001,018,
256,998,203,444,535,788,608,575,252,805,946,195,577,941,311,015,700,237,678,
326,098,106,832,440,752,593,693,767,893,373,013,948,052,316,025,005,640,209,
300,459,715,131,518,636,017,054,045,797,053,956,447,788,242,590,587,585,050,
558,518,784,571,819,667,884,806,432,074,160,748,331,906,506,096,973,196,893,
159,040,787,286,215,996,139,955,289,916,072,262,618,739,891,569,857,345,833,
766,945,149,675,074,070,188,537,533,271,997,511,159,343,342,106,392,897,376,
398,901,146,880,487,530,342,534,037,925,486,264,020,828,599,571,430,718,975,
682,084,190,112,788,744,681,138,029,696,753,907,883,096,747,913,881,451,594,
485,684,640,847,238,207,024,961,956,045,691,002,383,390,805,834,824,443,366,
734,769,896,694,125,556,473,516,802,219,804,327,146,624,939,906,102,400,449,
870,566,191,074,626,221,355,342,548,835,364,168,363,690,187,068,477,578,451,
500,612,957,792,601,845,171,089,983,643,358,120,566,893,782,644,414,135,588,
950,359,773,974,028,991,317,723,069,932,172,396,492,958,472,460,242,954,944,
265,158,578,099,224,692,822,952,872,616,607,723,077,862,377,520,210,775,266,
981,707,228,775,086,605,414,876,617,694,219,203,063,544,489,613,877,777,732,
506,649,837,412,933,546,769,650,163,577,601,562,076,755,694,116,151,619,021,
160,443,663,409,653,576,396,817,837,463,450,616,958,523,965,192,165,167,368,
963,043,945,644,204,288,084,319,639,854,375,971,249,066,145,632,333,564,319,
492,147,387,509,392,915,290,049,758,548,477,261,581,846,711,894,668,716,616,
244,722,667,954,103,036,939,924,625,048,571,438,904,286,010,831,352,790,941,
285,666,028,667,867,212,263,476,317,800,346,530,240,440,057,581,382,931,063,
589,349,183,965,349,799,338,743,394,979,215,298,120,740,017,399,270,393,534,
322,684,921,145,482,254,993,388,758,484,939,483,010,783,633,149,818,517,272,
389,348,157,626,250,820,340,851,800,524,111,549,231,772,922,761,510,288,258,
118,501,425,272,058,564,249,834,893,580,060,411,157,023,749,307,761,921,149,
280,835,064,898,283,715,183,455,900,107,754,104,640,354,935,522,482,959,633,
137,452,052,496,536,839,781,472,647,521,113,601,297,097,804,176,780,144,053,
089,273,928,460,659,344,568,999,317,045,519,756,304,147,317,152,188,682,657,
344,525,453,756,920,236,185,724,997,441,844,738,444,641,019,246,729,757,188,
212,501,226,832,550,377,677,563,779,831,892,031,616,466,866,891,608,432,449,
028,604,537,041,454,230,537,379,855,932,887,506,401,290,280,910,641,581,249,
203,075,756,274,445,746,931,705,816,944,515,234,655,757,386,283,418,506,293,
250,205,561,220,121,999,609,975,351,843,895,551,865,014,650,099,213,446,343,
890,717,764,056,911,545,029,631,293,891,003,828,070,428,109,660,813,921,136,
924,451,882,118,155,939,297,589,088,121,684,834,322,031,563,428,042,339,325,
009,530,919,501,535,789,723,725,589,025,045,476,977,362,531,061,442,351,196,
937,103,954,850,976,147,162,082,368,671,116,130,619,446,831,786,504,991,943,
523,013,747,441,258,098,833,222,306,867,982,141,863,512,734,881,790,858,207,
157,794,745,783,164,545,780,881,077,150,792,131,375,046,669,515,623,964,380,
037,849,939,285,622,418,875,226,985,026,264,305,211,146,008,259,472,844,034,
907,546,073,150,100,191,701,744,190,281,391,770,485,037,645,205,123,852,835,
497,094,693,236,643,993,286,201,713,875,371,058,163,069,475,835,554,345,334,
860,055,755,356,056,765,055,648,976,129,340,519,480,232,592,656,137,479,195,
186,293,910,253,457,287,828,112,456,126,640,871,418,945,966,654,355,280,562,
883,879,324,795,069,092,641,548,863,937,961,597,285,150,135,525,531,353,081,
691,753,258,389,169,606,666,782,142,012,781,446,442,217,561,952,858,749,765,
794,736,674,802,738,039,053,745,077,214,035,489,016,009,511,572,130,474,804,
633,663,258,585,339,849,986,695,530,671,266,483,467,575,058,387,415,114,233,
085,839,945,748,179,053,432,868,309,357,061,546,162,863,980,666,711,611,249,
376,481,346,934,855,446,867,159,821,537,014,847,073,205,515,900,984,098,031,
771,746,864,044,777,307,594,799,723,611,108,071,251,362,381,726,855,655,926,
529,512,344,033,895,909,060,138,744,418,809,859,364,124,037,437,066,190,542,
157,318,906,704,857,272,797,833,539,569,027,062,424,249,553,580,250,047,501,
485,412,455,304,091,017,397,925,980,874,249,995,361,556,056,199,576,650,041,
927,212,197,293,755,727,836,866,500,353,229,223,652,107,665,571,093,384,335,
411,457,017,127,287,676,396,975,188,081,458,318,239,483,461,256,344,433,571,
156,710,278,175,008,764,128,434,200,134,215,308,242,177,447,103,793,345,110,
936,610,322,097,661,000,683,080,237,926,368,030,014,492,763,116,238,754,039,
491,168,007,288,424,243,069,680,228,641,564,800,316,639,816,430,845,157,572,
648,285,834,891,503,946,916,173,208,889,484,039,172,414,397,692,597,461,519,
371,516,411,277,458,078,754,695,958,196,116,028,764,269,561,807,116,425,609,
685,294,614,104,014,230,173,858,829,595,967,305,188,218,922,329,643,903,933,
230,352,572,751,558,869,468,116,712,273,935,189,920,116,841,881,447,189,500,
079,201,094,635,664,179,121,682,605,206,789,108,909,718,823,761,072,593,129,
157,402,903,478,963,981,880,333,287,700,148,359,712,606,209,991,181,955,575,
889,252,589,001,121,635,280,063,717,692,064,523,788,273,598,778,122,755,084,
544,756,053,234,241,603,658,687,094,926,815,202,473,566,781,289,917,354,699,
337,524,857,527,153,112,767,569,832,040,051,945,611,627,012,375,450,486,746,
069,969,404,427,975,334,821,998,215,521,247,538,166,121,287,773,779,040,374,
680,227,030,491,886,827,095,516,930,620,309,365,213,238,761,477,339,142,681,
370,023,504,329,840,890,416,225,185,709,165,861,338,901,795,077,614,446,447,
261,168,812,891,735,627,809,812,491,143,472,851,156,914,096,332,692,226,506,
284,309,565,833,579,053,352,348,123,422,305,862,437,050,173,295,970,084,613,
694,942,595,779,909,253,678,105,404,533,895,128,896,596,778,827,101,402,144,
893,897,440,603,871,864,078,785,283,854,840,858,497,126,589,661,296,018,419,
482,056,982,135,436,850,298,951,849,917,624,658,177,427,277,950,817,791,010,
076,744,288,368,310,499,077,580,651,428,802,491,561,414,029,540,102,114,498,
671,573,182,096,398,616,185,196,178,035,223,494,493,586,619,569,107,890,134,
329,554,038,658,003,680,102,145,613,887,568,794,085,390,744,333,736,245,683,
608,750,601,962,539,821,345,343,520,544,940,635,526,795,470,788,898,329,054,
397,360,201,732,469,380,968,180,928,594,378,997,543,805,163,321,551,284,158,
270,622,311,510,287,816,613,254,492,101,580,606,701,943,690,215,037,802,045,
724,343,769,965,844,235,462,404,413,647,352,717,050,416,038,481,082,261,779,
297,432,671,692,412,808,407,024,398,910,829,748,811,032,195,162,324,505,870,
884,733,472,646,708,278,525,468,274,925,756,255,649,910,710,492,428,331,061,
644,750,346,304,542,381,910,744,906,414,169,265,271,724,071,681,339,971,018,
992,709,474,558,313,936,778,879,755,944,005,351,376,547,666,964,136,851,552,
609,282,384,056,199,202,791,523,689,883,898,345,529,562,891,792,135,418,735,
842,914,993,224,979,775,066,387,095,599,752,198,948,519,526,596,061,015,214,
450,002,684,570,837,560,085,213,580,072,679,556,691,979,747,795,721,132,912,
240,058,009,516,833,848,577,306,443,665,250,833,096,758,900,374,708,779,091,
111,752,249,543,104,310,146,389,457,520,616,012,772,125,752,951,536,806,048,
143,061,504,129,378,331,928,997,827,982,684,747,487,061,647,359,829,446,415,
049,431,287,198,016,082,960,839,224,889,189,926,703,203,517,186,026,644,211,
320,318,347,382,246,777,604,413,640,865,537,456,652,751,129,370,167,648,609,
391,968,761,888,188,264,691,283,251,234,149,658,421,970,071,064,754,933,523,
221,179,639,148,789,606,362,383,575,903,743,962,994,238,631,697,871,153,900,
970,258,400,337,255,170,663,970,316,579,333,407,171,700,813,292,327,540,571,
285,583,689,029,866,178,637,132,641,787,521,746,200,930,993,722,467,369,112,
361,234,016,496,054,960,754,669,369,466,106,663,384,955,691,094,883,853,889,
830,774,130,028,251,312,610,864,097,149,986,452,615,687,522,191,050,546,927,
171,125,233,033,935,996,727,344,190,809,350,481,331,431,615,158,167,464,420,
844,076,915,283,305,833,382,234,387,201,040,370,931,594,118,047,406,925,636,
956,835,187,981,435,196,550,520,608,551,664,204,963,785,643,222,766,196,807,
620,837,410,893,651,867,760,335,995,139,908,099,152,926,752,066,858,086,950,
656,800,606,439,548,881,180,777,411,384,372,441,025,596,491,716,425,789,636,
639,127,111,635,867,056,653,359,109,726,259,179,194,988,041,611,079,831,050,
830,781,721,423,229,905,378,506,263,449,994,858,478,444,874,740,684,312,108,
938,284,139,956,979,202,002,967,379,405,405,236,665,409,828,337,738,827,868,
832,577,082,983,695,976,924,220,385,333,499,855,674,400,025,151,347,154,828,
641,932,542,793,143,561,636,344,987,708,738,394,363,034,991,685,350,506,772,
569,914,970,354,606,664,948,432,484,890,609,466,292,255,726,881,751,734,292,
023,892,336,125,023,317,944,627,907,876,788,494,989,456,900,760,571,832,791,
276,026,868,848,019,060,637,308,515,669,244,722,466,554,793,433,997,927,745,
498,040,169,368,071,478,503,263,764,677,234,526,484,224,685,306,565,109,863,
086,246,774,196,116,481,621,197,206,827,807,107,190,841,599,280,218,521,719,
967,391,008,020,418,330,261,793,998,014,467,476,362,949,456,801,695,519,267,
639,321,007,638,456,837,221,762,330,214,556,058,434,421,376,958,674,277,087,
921,789,133,766,845,170,441,928,000,574,582,708,871,830,144,174,148,554,644,
643,155,209,100,708,573,777,058,868,526,788,901,582,871,544,719,837,988,093,
275,264,925,534,748,417,725,475,324,317,848,078,871,623,195,664,848,522,019,
713,977,524,869,041,647,775,044,707,574,653,632,563,227,793,926,403,218,977,
621,838,320,323,537,671,200,930,647,984,770,482,487,503,872,843,141,395,522,
571,177,533,356,972,478,478,362,463,930,171,032,189,905,308,889,004,661,058,
760,821,755,163,657,011,791,685,955,219,793,782,018,293,945,148,818,329,985,
678,097,643,136,886,263,233,592,356,414,547,851,761,115,683,759,965,192,328,
056,154,430,020,694,535,505,480,001,172,885,696,118,992,142,206,722,526,925,
827,129,724,596,585,009,864,803,863,172,890,561,829,688,171,905,445,030,485,
724,957,550,035,619,982,797,725,878,570,790,382,541,097,891,386,823,873,115,
225,164,661,390,388,221,231,328,364,844,416,357,982,970,330,801,053,815,051,
865,461,119,399,685,867,822,415,054,249,843,227,404,225,861,365,205,820,587,
747,772,645,714,980,120,581,727,992,888,214,409,594,748,737,861,370,412,175,
420,481,096,668,456,537,557,252,144,954,878,488,547,263,250,067,993,036,156,
505,890,286,689,060,368,949,439,629,553,786,617,015,630,232,802,815,353,331,
283,043,613,925,806,819,827,645,016,912,204,183,863,325,647,670,693,474,589,
945,028,204,561,674,931,126,539,296,783,525,448,824,654,852,788,843,934,931,
610,937,073,278,129,356,587,965,897,335,795,170,147,178,627,019,876,843,511,
221,346,619,771,146,588,628,391,886,697,010,811,555,186,651,417,901,522,084,
811,155,717,901,710,346,236,021,836,780,829,256,894,428,146,133,308,545,795,
476,956,414,013,424,853,035,364,116,305,555,266,248,607,335,278,901,102,095,
048,128,520,870,925,111,616,796,423,134,893,674,793,121,681,120,535,713,467,
618,643,336,128,278,163,980,777,610,022,352,265,418,274,381,032,932,710,596,
166,077,108,210,338,919,293,324,924,186,695,943,265,257,739,173,379,776,604,
106,155,030,764,178,748,977,665,017,763,360,990,063,360,064,885,093,486,603,
556,353,876,442,480,208,797,443,269,149,679,891,038,090,280,241,223,745,078,
991,521,315,787,172,149,364,673,732,687,223,439,361,232,607,867,711,803,379,
619,700,190,892,036,268,318,502,364,133,820,838,810,921,152,138,679,193,593,
824,125,924,764,468,264,126,524,728,834,116,671,360,070,047,205,125,526,145,
156,987,215,401,009,053,164,298,216,129,317,798,031,636,588,709,453,308,850,
206,228,920,551,292,851,574,990,582,021,259,886,423,236,457,061,091,463,861,
125,593,839,952,424,584,770,426,122,599,976,304,066,067,228,816,191,406,229,
066,064,067,196,111,281,198,023,655,544,262,539,037,035,645,811,264,223,714,
952,273,760,327,175,965,106,422,092,098,819,036,572,303,722,235,306,606,337,
332,783,252,798,772,997,346,871,577,143,289,526,428,579,147,420,764,462,965,
342,519,861,445,120,072,658,291,303,451,846,250,920,872,064,340,964,705,061,
921,510,662,984,734,569,864,076,130,786,023,841,934,113,426,398,642,589,263,
647,465,922,923,168,993,388,493,210,385,186,656,606,998,319,587,832,139,054,
707,176,496,475,086,072,069,749,160,982,244,328,784,553,141,070,794,950,914,
197,867,736,819,235,900,004,214,420,782,038,313,199,550,011,348,351,216,679,
974,257,706,160,908,461,974,088,136,537,228,325,077,804,387,703,497,130,476,
914,747,058,219,684,159,917,178,770,226,263,447,447,686,372,691,463,300,130,
105,087,329,104,924,494,943,593,737,313,303,790,430,578,046,089,010,370,171,
256,513,716,217,782,295,516,530,858,832,831,945,694,860,182,449,325,833,888,
797,049,169,789,248,513,931,430,282,447,675,659,593,975,489,870,460,676,099,
963,183,525,361,629,730,038,988,374,812,439,331,489,034,520,258,438,996,977,
377,345,821,228,481,121,785,646,423,805,661,109,048,976,573,385,186,441,325,
333,994,738,592,697,983,353,184,471,829,685,167,415,929,167,174,605,728,531,
240,307,131,423,622,629,183,904,883,366,449,215,691,100,633,663,306,174,306,
304,459,788,693,487,851,607,916,379,251,892,282,968,429,425,504,838,120,084,
067,748,413,995,350,568,462,313,863,328,875,613,819,162,703,216,936,315,720,
525,944,647,135,157,590,150,349,852,374,851,044,505,401,906,818,356,735,576,
258,024,430,646,018,081,868,860,121,406,530,689,744,986,838,529,854,828,695,
447,854,505,612,749,649,040,968,707,084,849,741,683,241,758,776,053,232,386,
152,572,668,261,404,631,038,091,703,123,495,619,430,386,897,502,996,695,741,
011,194,785,097,926,604,964,215,707,673,861,204,482,494,502,014,268,234,798,
319,994,414,252,118,527,272,120,861,658,860,823,239,009,912,365,392,353,489,
262,110,020,542,205,223,014,123,890,561,370,024,765,403,471,024,153,184,831,
830,414,784,931,825,937,322,634,702,031,960,084,468,228,596,197,653,475,220,
108,359,684,759,556,520,988,575,149,086,926,268,145,134,693,980,336,036,622,
013,860,578,337,778,360,086,260,408,605,328,916,235,375,268,009,603,421,889,
621,549,804,293,244,988,153,439,540,663,998,015,332,302,765,059,498,352,730,
735,013,134,589,748,615,031,607,878,480,458,758,424,969,977,006,920,067,093,
771,403,136,161,703,397,420,225,185,174,641,474,670,734,221,528,000,783,986,
837,764,121,352,579,540,778,117,866,325,027,263,979,292,232,438,819,436,712,
767,294,730,318,492,528,889,097,598,086,199,795,108,148,133,274,070,080,585,
714,817,962,868,105,057,411,915,339,997,749,197,824,391,948,514,028,092,295,
317,061,584,911,802,536,196,269,568,887,794,251,703,496,489,136,714,181,106,
245,532,963,668,852,851,674,895,307,616,860,253,497,290,036,314,037,100,398,
693,057,129,592,695,005,524,061,764,804,458,366,352,360,285,762,214,853,540,
004,255,099,505,572,618,128,113,380,798,402,844,035,537,942,738,505,105,289,
551,915,041,227,721,534,609,573,156,066,287,712,602,079,574,848,374,518,061,
891,671,694,318,235,142,264,160,186,284,069,543,227,962,487,450,264,304,507,
956,135,802,469,113,106,499,473,396,326,242,087,846,221,834,245,058,015,756,
269,081,531,456,108,008,256,939,774,240,567,476,390,036,329,920,912,608,879,
999,522,509,189,947,485,758,384,890,580,699,815,323,383,312,037,994,463,492,
318,021,409,628,155,921,817,983,912,615,494,024,959,202,925,216,669,227,453,
938,707,165,708,625,660,127,084,778,691,826,887,355,749,531,603,238,209,784,
637,820,373,834,744,427,044,616,911,617,495,556,530,891,994,352,443,890,608,
478,789,094,788,543,993,513,614,428,013,479,424,414,291,117,936,515,366,269,
346,589,220,463,880,512,558,774,933,635,826,304,793,254,208,635,920,172,379,
651,907,907,742,306,944,378,020,163,067,552,576,888,876,718,068,910,009,721,
824,732,310,144,055,454,114,220,297,397,516,187,719,475,593,086,405,040,044,
525,383,932,519,862,966,061,839,557,200,725,414,753,351,922,786,108,330,938,
261,681,442,085,309,478,907,132,556,549,209,923,707,067,653,882,104,067,185,
247,091,707,948,155,241,019,302,266,150,413,624,187,393,586,717,037,718,503,
999,255,791,056,729,937,839,026,557,039,170,945,381,881,381,602,831,645,969,
285,688,249,430,909,606,087,053,705,303,243,429,630,634,785,821,855,089,253,
983,823,465,878,145,643,389,240,115,428,034,313,887,070,017,908,111,173,892,
812,592,961,621,991,174,921,606,076,256,995,267,439,724,149,613,063,800,195,
324,565,108,024,988,947,852,114,684,133,762,613,089,836,535,889,969,289,512,
102,229,121,054,082,707,654,050,106,813,554,198,314,106,364,652,835,915,436,
605,011,810,418,221,760,465,778,775,570,456,867,139,479,680,799,897,602,538,
075,102,386,687,078,945,111,116,682,488,116,697,921,113,608,252,147,687,109,
112,276,509,725,921,864,153,590,090,317,892,350,577,077,986,240,578,268,330,
992,059,584,164,673,588,660,214,664,261,219,596,970,780,759,226,052,299,678,
750,774,065,104,490,830,802,690,503,197,744,481,281,151,852,528,800,081,253,
166,317,064,098,730,351,239,817,526,615,736,011,813,380,082,782,953,693,169,
185,676,772,968,702,353,636,570,294,079,887,543,609,575,511,962,896,653,209,
370,938,557,627,814,815,544,241,388,422,543,302,814,275,754,886,935,968,799,
641,926,403,664,680,990,806,141,473,262,384,098,633,069,468,976,764,966,103,
387,585,488,296,820,856,102,846,007,830,226,128,161,608,037,791,267,530,417,
204,752,741,409,563,793,817,767,083,308,933,901,860,856,096,401,709,019,152,
692,653,076,295,068,829,551,273,045,600,139,724,599,815,647,648,146,714,164,
067,241,910,926,290,811,112,967,547,227,778,367,676,797,714,989,963,910,607,
792,002,142,521,760,451,566,728,448,185,373,246,559,488,867,521,941,340,131,
317,856,076,579,749,981,774,976,406,336,395,764,833,303,175,917,314,051,780,
361,188,940,150,803,784,700,529,179,152,830,734,458,116,286,615,603,419,188,
218,593,711,926,585,643,184,438,772,718,857,383,733,069,129,380,083,985,020,
431,732,421,682,368,038,292,664,089,247,804,332,061,512,654,422,121,181,976,
624,719,154,729,192,251,152,945,712,350,140,572,413,945,395,737,709,185,109,
379,122,439,280,998,406,062,541,109,496,859,835,991,065,854,702,280,018,068,
912,660,782,552,319,379,576,228,032,401,442,810,958,964,995,734,219,541,116,
683,558,639,605,473,190,968,252,307,027,831,352,668,655,763,925,516,499,695,
536,657,509,097,291,499,429,850,629,066,514,909,467,379,791,614,298,557,614,
712,858,820,088,500,821,940,649,357,224,020,092,079,788,176,192,880,308,781,
537,325,065,725,955,976,747,647,350,514,490,912,476,209,316,838,442,897,591,
587,297,703,898,273,132,343,766,054,096,251,721,134,777,615,084,536,981,482,
072,670,154,521,613,400,570,393,745,811,768,681,621,612,114,482,950,216,489,
501,136,756,477,669,680,591,417,381,444,790,673,634,619,066,535,463,442,166,
611,637,243,161,206,079,888,276,150,420,296,843,187,403,351,356,391,147,610,
387,860,507,670,750,041,509,393,099,804,130,909,436,028,698,574,973,484,632,
355,736,952,626,606,304,421,829,640,365,606,062,148,820,565,437,231,876,798,
377,605,816,145,761,274,413,695,790,435,623,331,853,129,019,464,195,437,326,
821,299,465,037,303,610,843,248,405,519,154,991,111,002,812,400,178,422,919,
947,269,176,761,963,011,861,659,257,014,491,688,113,671,668,895,376,418,189,
557,061,429,958,781,905,660,840,670,285,211,393,866,605,042,597,700,820,629,
787,944,922,250,414,174,508,739,557,279,547,848,513,793,375,224,943,294,770,
040,286,048,874,816,770,688,260,718,107,645,265,414,047,453,473,275,430,254,
961,713,100,559,919,669,531,213,362,254,169,495,001,451,086,311,539,833,243,
955,152,864,859,414,404,822,197,045,901,109,652,367,657,469,299,376,675,219,
832,355,323,895,760,103,430,372,386,180,882,391,527,004,570,648,000,477,113,
521,374,997,278,369,238,688,780,394,888,622,093,071,171,575,973,693,343,733,
536,671,648,993,769,498,710,319,984,945,849,992,250,118,164,090,462,271,950,
580,340,179,760,980,925,038,738,839,359,834,082,198,197,932,572,292,856,206,
508,402,720,854,852,468,926,766,082,544,280,737,426,237,125,251,788,068,923,
193,243,106,291,820,806,097,041,413,675,372,586,773,021,444,247,871,717,759,
431,483,434,674,461,007,721,766,227,074,438,459,335,679,076,753,717,033,097,
061,019,465,596,544,024,281,926,708,411,841,491,649,010,845,513,023,386,552,
263,815,270,456,112,870,102,981,465,246,350,388,647,219,709,524,029,290,580,
716,375,565,473,405,419,202,267,268,649,533,139,774,067,164,806,171,134,202,
710,659,265,269,953,828,560,671,240,718,763,579,930,866,182,485,359,226,885,
842,940,562,457,017,898,230,725,561,398,048,217,651,816,118,765,144,890,118,
550,984,884,811,751,535,443,534,439,149,693,824,128,766,027,493,034,610,870,
690,603,479,547,596,498,310,758,634,298,629,209,953,360,173,608,161,153,017,
315,527,919,568,688,101,991,547,551,119,460,123,469,447,469,930,907,415,057,
763,106,216,174,555,512,436,715,967,711,630,187,592,364,397,144,272,794,931,
287,827,068,899,763,962,932,515,638,926,286,505,663,079,840,310,210,546,260,
013,449,470,611,201,574,383,078,124,951,646,900,042,331,070,463,773,158,201,
225,598,053,679,366,535,162,080,151,426,979,023,983,514,682,120,112,294,406,
280,132,430,071,278,005,866,140,243,491,329,312,136,429,178,484,693,424,823,
918,774,780,875,505,891,084,708,094,173,330,184,221,661,718,058,630,245,211,
615,393,011,357,967,299,858,407,811,359,244,114,087,440,452,378,484,745,893,
690,711,988,951,624,219,304,790,618,342,735,285,953,498,718,339,012,954,380,
009,967,929,347,901,845,775,112,463,944,951,545,219,530,745,988,244,768,222,
328,800,854,365,757,410,101,779,641,548,210,127,093,885,742,714,495,157,685,
304,165,943,074,777,295,305,626,643,096,552,113,784,747,743,865,389,747,539,
858,914,866,384,428,607,491,423,442,916,267,793,498,272,548,845,311,579,462,
778,322,157,054,645,612,805,114,641,227,844,722,252,245,488,438,599,890,816,
462,285,959,203,353,424,830,989,394,616,240,181,002,225,280,720,269,361,412,
314,325,864,835,494,303,624,425,902,956,029,174,374,087,486,606,110,332,536,
412,090,051,387,054,350,624,205,801,709,130,236,420,029,454,376,358,490,223,
012,714,627,442,236,268,838,943,055,920,082,121,679,136,798,287,540,977,344,
173,912,001,429,806,296,221,571,681,956,436,949,992,408,434,950,035,806,562,
593,024,801,196,293,547,377,095,903,072,526,699,747,881,007,228,864,930,951,
421,019,623,148,384,637,322,206,226,024,043,522,345,296,871,930,075,366,587,
873,560,813,706,636,785,620,769,691,920,851,147,482,159,148,092,677,852,335,
165,240,009,731,081,081,003,006,352,780,969,071,665,975,800,934,562,804,670,
179,478,541,329,481,267,648,903,684,739,048,993,071,969,070,567,433,339,470,
461,018,516,742,662,343,316,172,054,255,890,445,712,430,026,134,500,119,734,
682,768,923,976,520,524,499,199,996,877,226,205,250,029,158,332,954,955,532,
040,463,620,204,846,582,070,632,178,829,980,980,889,747,540,097,379,858,889,
861,773,045,579,029,145,517,356,777,005,826,691,108,857,657,077,169,486,129,
709,898,467,036,980,923,984,649,597,295,704,211,479,290,604,008,959,943,189,
017,722,448,132,376,927,128,260,204,517,907,109,168,323,750,407,466,046,232,
134,252,018,089,165,291,136,645,164,963,358,989,624,124,004,871,381,871,022,
381,880,031,075,449,796,345,209,155,540,810,691,358,947,617,977,220,481,210,
180,886,645,229,102,464,197,841,103,446,082,016,076,004,162,500,064,881,743,
660,956,137,558,843,317,341,312,656,385,645,005,164,449,652,252,885,996,517,
137,135,084,918,862,791,306,696,331,029,581,004,906,817,862,797,206,100,200,
425,288,658,976,227,923,260,242,501,061,616,491,555,365,069,111,002,939,193,
414,510,396,606,786,665,222,420,439,139,742,691,200,945,269,237,795,570,722,
162,717,404,150,678,309,978,476,498,773,617,505,814,518,400,349,921,675,093,
457,930,303,875,051,492,867,439,844,696,391,822,572,357,858,346,934,610,593,
757,642,456,233,002,688,580,937,757,351,304,078,614,501,710,538,985,420,715,
213,505,709,715,406,667,979,755,612,218,587,095,319,837,317,052,343,720,300,
163,861,733,665,659,810,934,896,652,571,015,427,279,398,965,736,956,890,775,
491,447,923,976,316,432,864,772,884,457,287,830,736,964,059,148,690,997,663,
437,441,659,870,946,111,121,701,006,432,853,305,700,055,293,836,081,175,518,
486,699,977,965,409,970,947,412,152,057,326,592,198,672,402,048,301,852,004,
398,874,460,702,419,819,554,691,741,581,930,792,993,849,554,131,592,231,437,
070,764,700,037,315,900,126,213,308,328,614,906,197,495,563,783,973,874,150,
307,824,321,712,767,656,069,919,834,390,690,619,041,463,506,458,710,867,341,
185,476,491,496,332,856,585,597,280,698,906,556,997,954,327,425,662,100,107,
094,708,514,838,711,712,127,217,778,021,924,563,766,280,810,795,324,426,710,
721,703,455,251,255,007,377,824,338,403,255,636,130,112,327,543,111,514,935,
332,872,095,747,091,181,419,221,798,736,565,521,482,696,125,709,832,562,495,
603,321,964,515,156,334,675,334,787,279,070,878,546,436,274,491,978,817,358,
819,088,449,426,485,147,421,371,507,140,530,639,526,948,213,412,137,848,976,
367,072,855,436,297,397,432,978,272,009,519,622,205,606,323,116,284,275,736,
810,239,556,173,885,875,024,432,798,937,001,939,629,113,259,211,123,679,526,
701,217,073,945,000,739,799,072,082,606,625,212,420,843,930,425,645,914,915,
345,187,332,880,327,673,765,610,796,563,364,564,524,773,258,096,470,244,896,
011,371,490,956,770,890,966,249,377,062,135,757,618,967,696,078,387,223,145,
194,875,313,622,982,638,911,951,155,114,269,877,345,374,449,156,041,054,008,
293,977,873,501,958,838,002,986,444,028,999,525,058,683,785,624,462,853,556,
917,064,838,168,789,783,365,387,254,043,048,927,965,222,213,983,812,543,086,
785,982,854,697,821,504,254,628,808,539,821,847,811,202,649,710,174,635,796,
050,605,268,166,697,159,883,263,062,217,090,474,984,881,771,234,596,634,948,
287,531,386,582,330,667,995,586,439,041,095,702,236,615,163,004,101,191,313,
378,286,307,593,141,114,577,253,169,889,703,226,878,908,834,436,456,981,154,
706,320,127,503,515,567,843,827,769,083,659,518,185,178,458,746,405,671,746,
343,136,595,929,416,884,867,503,996,464,358,202,307,715,858,442,202,243,984,
543,933,970,632,919,409,878,769,256,316,828,595,163,813,211,321,840,185,643,
425,733,203,865,122,252,241,959,906,762,954,999,748,227,468,122,667,574,646,
161,894,809,552,269,908,387,876,036,629,664,834,690,088,233,012,099,215,222,
799,610,992,848,457,740,043,903,548,114,583,361,807,659,614,724,860,743,349,
077,994,702,617,673,471,419,270,124,727,815,079,630,940,107,044,985,080,145,
193,973,320,099,882,553,464,047,584,549,311,248,082,037,677,018,641,055,447,
437,939,000,801,103,629,416,827,170,227,208,834,072,975,769,375,418,367,123,
637,127,329,034,984,095,596,417,706,928,366,808,403,360,421,097,195,820,917,
171,983,467,521,927,312,410,016,032,527,356,848,374,210,296,820,865,842,536,
670,009,518,410,104,506,111,207,916,564,047,108,315,029,932,184,941,457,066,
592,338,385,876,483,270,602,723,613,779,810,084,214,705,491,855,676,051,767,
050,169,974,290,590,002,889,012,836,245,974,924,652,594,354,112,304,357,052,
366,743,321,131,741,446,584,461,199,956,257,581,332,478,455,103,731,146,544,
630,712,716,479,383,832,217,310,354,721,156,350,009,868,400,973,369,683,329,
709,215,216,076,063,837,512,317,569,766,176,976,479,781,777,051,278,986,676,
778,362,883,407,473,510,325,494,885,879,763,906,159,859,313,135,808,750,140,
223,198,947,569,382,530,779,532,745,558,285,353,639,147,772,680,355,069,212,
253,801,636,913,459,070,700,245,463,682,182,515,159,179,124,252,560,185,683,
101,962,449,584,140,415,258,214,630,699,739,300,209,914,658,618,912,357,726,
891,464,549,622,390,116,528,183,537,116,000,420,540,845,353,730,857,703,964,
991,731,357,539,060,724,199,037,367,863,524,393,975,780,836,998,147,202,381,
293,384,125,495,385,512,622,816,530,313,770,493,269,683,089,829,309,194,454,
055,181,551,572,101,445,652,159,754,523,842,652,246,109,541,603,501,649,459,
859,019,321,232,790,635,470,193,952,625,458,774,083,996,357,254,040,574,681,
099,278,720,928,022,995,878,219,208,364,840,859,563,423,316,387,977,184,930,
204,121,172,487,373,814,277,790,815,460,980,692,867,179,231,284,799,709,539,
590,190,861,292,459,118,138,446,558,651,729,925,976,093,413,223,377,642,296,
657,412,331,797,431,099,900,657,160,820,937,391,743,783,625,355,539,601,856,
448,751,737,547,763,414,273,176,587,632,053,481,358,353,033,124,117,155,699,
135,032,529,633,101,640,730,501,090,189,035,115,203,995,833,877,393,369,361,
640,464,653,094,363,644,320,999,389,931,923,854,201,028,905,351,846,028,212,
969,263,217,576,689,620,943,820,311,512,788,393,986,117,938,444,727,528,556,
963,902,043,623,449,841,095,792,198,677,771,024,879,693,800,726,629,984,090,
470,009,474,036,865,133,037,992,019,110,706,724,467,265,084,486,928,140,062,
759,420,523,651,721,630,284,418,523,009,864,465,990,054,013,255,526,261,088,
856,704,531,344,351,847,450,972,469,420,819,632,286,824,014,650,243,789,679,
121,336,896,943,864,968,698,601,698,493,183,447,489,706,801,554,190,207,067,
714,259,862,559,074,126,154,099,355,337,057,990,455,608,435,485,452,439,358,
548,185,319,889,429,739,975,760,510,408,313,613,560,386,655,997,591,484,669,
209,244,431,981,140,630,483,964,586,686,568,908,701,712,584,567,816,649,418,
421,212,681,630,068,757,284,816,117,661,142,023,844,371,353,773,976,400,448,
786,714,660,127,558,208,366,853,966,009,704,520,841,360,240,139,432,073,869,
283,175,706,436,431,676,605,840,823,581,410,142,031,195,227,747,248,771,486,
572,432,542,741,673,549,293,849,996,016,997,260,391,796,061,834,803,409,280,
180,686,624,677,548,358,574,108,699,002,748,611,147,410,466,637,869,924,572,
577,503,556,801,753,935,756,489,500,712,645,088,254,370,868,163,533,400,439,
838,269,407,185,273,758,596,462,899,715,247,369,697,235,563,451,755,943,891,
029,839,585,133,032,187,853,108,224,991,178,780,685,859,965,455,494,233,871,
142,991,249,828,172,506,136,698,252,081,556,481,110,985,882,627,057,979,330,
369,521,761,778,553,424,179,850,304,819,144,873,615,005,838,656,907,161,051,
331,119,483,766,831,030,106,938,203,106,837,995,347,231,324,004,609,386,324,
420,428,210,267,044,772,382,756,292,178,357,167,286,664,026,887,678,846,537,
432,282,430,095,242,271,546,562,057,102,462,141,240,163,134,669,774,716,316,
620,038,050,423,847,684,296,434,038,111,415,139,890,424,774,967,234,566,176,
257,058,652,682,546,759,365,491,751,334,955,155,570,030,328,648,425,137,151,
512,271,416,483,804,892,214,749,040,406,422,832,931,446,152,994,905,112,572,
302,511,850,336,758,945,929,160,208,962,062,782,417,393,748,707,102,836,143,
068,055,882,523,746,857,038,105,033,886,146,184,813,509,256,553,269,232,368,
689,884,909,724,372,789,405,300,426,857,086,007,869,757,900,517,607,954,334,
848,026,091,900,736,222,886,229,599,842,585,923,657,002,769,118,186,452,927,
898,050,778,833,614,444,211,337,584,021,311,121,165,320,436,216,043,009,124,
479,406,709,475,095,201,449,128,316,111,956,243,257,024,900,439,103,093,290,
580,454,217,240,901,204,651,451,861,832,005,411,222,148,188,522,435,453,566,
924,097,282,046,852,351,395,994,245,769,417,173,061,710,880,613,424,052,864,
754,913,810,342,153,446,464,451,159,123,228,695,103,348,125,476,067,332,318,
897,877,713,665,150,416,635,056,623,916,385,637,900,120,663,567,584,535,560,
687,651,115,433,636,365,558,353,202,379,895,479,271,424,234,498,808,517,710,
733,697,495,825,923,680,282,613,596,592,899,541,504,914,846,035,347,174,346,
424,486,515,251,674,355,033,055,790,177,653,824,574,074,771,257,790,743,031,
817,375,923,385,473,419,535,117,418,583,212,961,578,717,221,526,426,565,886,
259,299,358,598,600,665,731,793,824,137,868,372,095,658,203,008,170,658,048,
137,962,948,549,894,990,533,929,156,145,163,272,061,723,021,785,988,425,427,
146,093,787,086,087,838,209,842,032,886,802,083,207,257,150,340,203,846,864,
018,876,912,914,313,095,135,043,717,525,772,700,096,015,233,036,473,569,377,
928,957,365,806,130,734,134,013,799,005,618,539,991,974,182,982,115,793,307,
883,408,321,380,182,482,392,967,128,830,982,290,099,414,822,862,870,774,034,
034,329,777,810,376,992,780,777,115,902,094,065,285,816,910,727,291,384,696,
129,041,024,666,656,262,228,088,289,473,025,524,407,684,949,641,018,846,031,
377,462,327,412,596,300,387,743,888,154,614,267,895,384,460,634,785,650,449,
802,446,632,065,271,751,700,018,011,044,448,800,070,964,749,613,730,950,037,
690,515,714,011,626,425,186,884,752,634,926,307,188,635,575,232,727,646,385,
508,211,486,732,699,399,604,610,756,052,913,854,766,319,942,112,306,861,293,
499,878,547,066,441,532,928,212,818,149,681,574,169,189,635,988,113,739,656,
726,697,687,274,088,349,707,207,217,917,777,558,567,859,382,830,096,642,992,
114,506,639,879,609,914,235,249,684,550,305,207,202,971,958,722,985,178,249,
068,017,403,554,626,067,390,499,256,955,352,054,065,662,213,642,740,514,218,
402,257,383,862,452,980,045,202,042,983,255,212,184,698,097,177,760,949,016,
914,492,151,755,239,153,794,169,962,256,483,368,265,410,260,147,838,854,660,
566,347,235,077,787,333,659,703,793,068,717,745,491,750,016,088,624,732,079,
714,834,272,438,861,255,980,666,180,924,464,237,348,462,909,907,477,167,283,
341,338,364,358,007,489,838,650,933,217,623,971,421,406,916,500,871,627,701,
686,666,222,895,516,483,619,139,753,934,424,061,045,744,344,055,795,935,168,
547,903,389,019,110,933,992,208,423,801,100,790,990,318,918,590,162,310,850,
891,155,906,612,208,232,171,827,801,236,724,592,119,482,479,994,707,400,223,
984,176,300,382,400,993,621,514,262,803,299,649,510,380,833,831,567,818,796,
499,780,493,541,975,019,067,391,814,761,647,147,628,556,666,510,639,704,932,
226,370,810,507,043,855,076,990,214,062,838,786,972,510,047,944,040,945,498,
493,098,922,791,643,897,300,786,769,819,917,853,228,204,723,047,926,060,903,
242,850,531,750,434,356,121,741,032,116,833,082,598,355,631,907,720,860,464,
590,396,689,055,848,642,161,392,817,698,281,341,590,552,508,183,383,801,630,
460,482,136,665,902,821,520,590,581,204,663,856,060,496,596,774,087,654,131,
593,603,599,483,103,123,654,912,704,530,748,601,397,519,201,006,822,165,451,
044,432,664,287,028,695,800,101,996,419,328,246,655,913,034,409,314,935,165,
917,687,427,681,987,931,068,738,376,960,391,802,600,799,211,985,627,193,195,
570,128,579,632,404,064,674,568,006,438,458,089,210,139,552,246,571,959,834,
532,713,871,098,018,327,857,303,419,086,700,461,836,918,245,968,940,803,958,
063,583,178,102,788,602,698,814,553,326,407,405,771,887,346,272,780,434,373,
119,491,194,074,438,352,836,677,260,914,517,433,235,015,010,070,924,680,903,
367,801,329,280,685,355,195,751,188,408,738,682,286,581,949,686,406,908,288,
449,969,141,045,949,764,381,921,053,391,862,823,428,340,865,235,920,799,604,
593,484,017,848,703,954,710,105,623,340,910,093,646,667,125,139,226,192,632,
462,366,373,291,499,483,036,143,190,828,481,755,096,280,422,290,434,206,128,
781,676,647,596,511,294,687,107,573,591,501,207,064,241,059,885,673,997,147,
230,155,127,962,584,277,855,240,448,633,305,392,932,980,019,424,720,289,707,
534,896,400,216,086,778,879,381,493,871,859,301,600,763,893,685,730,913,490,
027,532,114,587,516,750,578,487,545,942,001,292,864,396,545,714,781,691,970,
880,311,717,292,279,374,012,737,181,424,635,089,839,821,005,424,805,665,333,
906,598,835,608,987,407,369,660,809,442,060,697,860,158,945,942,432,458,633,
985,246,469,733,471,661,495,854,424,509,845,156,374,251,544,521,163,032,170,
164,457,936,358,589,278,185,897,488,196,314,001,659,624,341,929,358,074,231,
756,432,088,779,080,814,801,527,140,105,955,242,262,538,179,049,809,149,053,
379,476,849,545,517,663,454,488,057,726,562,613,028,581,111,378,105,300,595,
386,584,562,258,604,740,229,532,257,317,875,852,366,074,817,874,337,829,286,
439,945,191,836,148,785,033,494,696,517,580,393,717,771,623,837,169,347,906,
504,371,079,023,879,550,382,124,668,266,557,332,964,361,283,968,645,976,662,
511,877,612,240,186,792,679,995,254,172,896,791,145,324,513,662,049,479,155,
729,889,629,994,000,243,161,751,380,535,678,642,248,856,376,062,113,658,852,
208,652,745,011,874,654,472,164,014,779,512,401,403,064,243,172,019,944,170,
037,236,788,954,297,437,500,159,284,741,560,828,732,750,191,945,507,633,010,
762,742,876,774,612,409,919,838,280,697,226,665,557,497,713,156,181,761,751,
136,032,945,745,272,887,678,751,643,921,949,627,264,154,382,431,332,829,279,
731,304,742,893,087,844,594,582,979,565,419,745,274,775,795,074,875,633,720,
733,865,916,063,889,334,455,413,149,658,726,698,532,131,266,558,802,406,309,
533,865,652,753,432,857,111,626,842,977,168,254,338,822,060,656,945,108,797,
090,740,346,069,053,393,404,253,478,657,540,483,405,615,052,923,295,874,485,
587,966,611,513,400,482,443,114,520,913,431,867,556,521,500,459,606,002,355,
579,825,372,964,206,533,029,483,300,201,125,905,017,886,068,705,706,076,346,
286,161,636,504,932,050,660,496,374,786,223,433,543,431,435,591,894,327,028,
694,776,961,924,717,778,667,205,547,968,057,653,487,350,216,644,761,177,828,
066,647,439,421,912,628,886,175,515,109,019,974,198,385,447,631,969,421,161,
101,907,703,454,694,459,265,937,430,841,345,452,962,576,530,054,462,964,470,
154,802,806,925,455,486,792,481,855,771,226,230,182,660,090,744,142,062,377,
568,273,738,752,975,768,661,598,498,827,938,586,362,445,596,120,877,500,125,
566,365,376,595,397,632,201,637,680,228,820,906,710,974,608,041,027,316,490,
987,729,024,240,688,988,741,711,244,315,814,375,538,980,477,300,541,900,816,
020,136,574,715,753,415,565,162,518,820,894,221,610,156,438,606,635,446,657,
774,190,592,847,982,768,468,833,841,016,996,409,179,267,929,038,737,831,827,
225,150,455,806,235,263,144,190,343,247,976,147,772,774,076,218,803,345,585,
114,030,210,933,766,179,498,814,691,333,524,125,635,998,696,109,967,757,985,
867,419,261,802,740,223,602,894,172,707,219,302,988,368,522,721,258,031,921,
951,628,874,124,274,759,504,215,230,342,835,603,479,619,982,366,105,286,267,
665,038,509,734,760,687,276,481,974,211,749,203,604,443,164,537,266,897,304,
820,136,383,616,904,153,222,652,495,509,115,734,770,982,797,317,887,802,096,
234,504,783,469,794,347,537,676,664,623,042,288,128,260,998,512,572,619,536,
220,366,740,683,017,550,728,111,739,935,666,059,933,456,460,284,665,557,872,
281,634,649,155,872,515,250,220,494,169,974,132,357,236,128,085,328,415,440,
488,132,329,010,050,340,603,038,696,570,712,103,777,951,412,001,484,787,651,
260,099,012,001,930,798,787,874,962,423,941,356,993,203,939,817,657,225,768,
972,626,428,967,609,382,513,342,327,471,855,048,845,234,021,593,123,038,207,
354,471,417,583,098,767,729,844,190,570,109,264,956,159,950,594,460,519,306,
001,899,068,197,260,682,944,546,729,235,291,597,932,042,039,724,247,688,464,
806,043,929,435,772,804,524,384,012,745,732,970,297,745,574,654,557,569,131,
900,071,186,845,671,081,904,140,719,383,633,507,900,561,748,452,616,793,378,
199,551,956,956,083,979,486,305,386,843,323,108,669,722,375,415,598,435,938,
200,156,396,993,114,058,762,990,364,125,442,395,631,030,813,274,575,666,725,
839,865,929,068,003,443,688,858,290,841,637,281,891,612,598,069,067,858,005,
934,250,935,232,466,981,782,646,415,410,456,555,932,058,454,867,855,090,956,
698,029,432,803,343,260,221,138,123,490,895,227,118,142,987,494,434,128,663,
756,200,575,498,577,599,187,352,095,512,327,544,018,619,174,234,712,962,464,
507,523,284,390,261,192,230,876,888,243,887,473,099,056,369,682,642,957,169,
590,126,089,498,565,461,447,791,367,177,534,597,975,519,808,237,155,110,971,
706,229,379,375,046,509,667,175,720,954,714,768,564,091,726,599,673,229,597,
321,705,599,217,314,783,722,345,142,615,115,540,347,183,466,368,722,637,350,
131,521,491,700,158,544,625,210,596,001,463,324,769,711,243,644,033,542,946,
461,876,568,077,642,511,012,550,664,730,973,817,922,479,415,350,065,304,741,
318,705,031,847,912,531,724,350,114,506,148,712,121,807,729,783,281,097,077,
336,384,103,078,070,482,330,700,422,815,802,353,776,638,396,659,065,194,312,
617,599,204,641,716,665,181,809,602,155,775,273,208,911,133,784,547,325,418,
709,605,657,272,349,468,918,400,974,869,306,968,929,848,197,702,571,511,498,
386,616,311,699,087,555,577,541,605,076,496,826,031,666,319,945,501,737,878,
662,124,337,303,745,533,213,423,076,768,029,781,397,707,037,975,100,234,154,
803,062,878,275,013,545,292,855,497,497,896,265,412,276,558,506,027,854,316,
201,494,083,789,235,311,319,904,816,370,420,492,078,047,385,549,533,642,474,
976,333,540,330,248,287,066,619,490,153,732,712,341,273,595,907,343,154,106,
547,343,085,041,239,391,634,549,630,501,525,808,711,006,799,941,370,776,872,
759,265,016,421,155,132,177,724,883,574,615,581,247,012,641,663,027,218,217,
000,357,362,393,644,459,446,465,067,881,570,251,948,541,734,960,625,408,053,
542,486,613,272,817,672,792,282,001,413,822,906,282,138,761,244,215,106,278,
996,554,064,597,557,769,267,286,771,549,945,602,634,611,865,602,893,707,059,
224,030,586,557,967,511,570,802,625,629,858,146,511,197,796,143,156,307,408,
411,460,384,041,882,089,426,951,537,848,703,824,633,965,702,486,414,401,227,
331,323,175,306,359,043,738,661,380,795,903,245,636,204,177,458,050,022,886,
527,826,692,207,419,127,936,998,530,096,352,963,114,014,998,104,091,412,720,
596,376,006,760,259,172,872,695,452,588,775,319,450,397,388,678,768,498,245,
022,513,657,798,017,463,361,886,237,847,332,998,343,082,467,399,448,866,758,
862,472,629,832,046,662,537,861,174,269,639,127,217,416,106,440,042,454,417,
677,709,170,145,324,135,255,480,316,204,766,238,981,885,453,094,815,991,541,
888,752,220,170,624,939,908,170,393,005,647,481,394,631,713,849,472,897,343,
602,275,087,785,401,049,216,678,071,200,156,746,243,411,511,344,790,039,627,
265,246,629,098,241,305,015,555,869,905,964,915,577,662,179,992,489,594,196,
573,952,883,736,307,074,928,196,214,689,498,355,579,584,730,276,524,695,309,
671,181,812,020,157,467,536,392,156,049,476,494,577,685,950,098,895,724,430,
108,730,421,368,857,866,884,715,490,276,465,507,248,702,782,804,365,017,803,
338,376,898,867,181,016,996,282,534,904,613,613,245,569,798,449,596,644,826,
674,783,012,471,787,915,283,195,714,306,420,895,699,850,233,314,841,827,262,
953,901,638,734,381,370,996,164,149,543,647,037,488,283,505,285,972,967,823,
423,128,813,933,655,659,853,583,748,265,376,861,427,862,761,987,906,744,128,
547,280,052,345,791,408,197,723,432,134,670,723,057,197,497,287,490,191,852,
200,344,803,653,302,963,859,889,085,289,665,597,036,417,720,758,124,033,805,
709,914,101,811,336,902,155,469,976,027,798,197,123,902,298,078,362,848,850,
126,388,790,457,714,152,901,706,281,347,036,827,642,626,727,868,447,952,185,
321,396,490,526,813,174,789,929,170,823,515,459,817,532,092,341,953,068,882,
081,044,118,393,730,318,624,084,755,248,096,538,393,109,785,387,681,659,496,
380,778,560,796,524,814,233,485,666,747,747,556,923,781,141,703,716,092,456,
763,232,077,309,854,467,850,745,284,769,905,942,316,180,122,460,121,104,598,
106,929,008,594,689,153,699,229,213,928,357,299,880,944,492,999,030,235,236,
913,742,176,543,930,469,055,258,251,440,845,451,002,502,589,780,009,343,358,
812,149,187,210,855,249,365,021,207,233,597,349,166,405,593,263,912,484,344,
924,020,571,712,664,645,811,535,345,526,706,383,911,521,009,455,645,521,182,
632,414,384,261,203,560,555,290,045,383,220,675,831,101,938,119,656,652,528,
167,898,511,164,455,670,601,602,727,781,453,764,984,746,681,927,373,356,311,
165,778,986,723,881,427,701,052,180,408,636,197,714,123,793,238,921,847,908,
980,403,461,836,508,052,953,724,294,091,174,722,539,775,290,581,963,952,839,
026,799,103,710,865,289,851,624,677,964,710,504,242,966,994,116,919,093,544,
186,684,924,182,944,763,092,457,432,730,378,811,389,588,209,022,258,190,013,
985,818,578,633,215,119,477,905,078,013,703,334,687,289,192,034,187,768,830,
708,627,830,543,304,373,023,593,980,372,691,196,951,100,611,135,361,443,438,
126,864,212,640,192,669,348,443,679,588,793,666,672,785,515,086,311,038,500,
861,140,484,795,661,686,044,354,185,340,475,515,366,235,548,294,712,937,838,
684,770,222,223,677,232,187,716,440,530,547,922,449,302,040,910,107,374,216,
474,315,466,626,188,980,057,123,723,147,555,936,516,707,275,729,918,195,504,
749,275,363,353,660,873,463,117,449,964,017,150,644,710,203,751,922,199,370,
732,394,362,667,946,152,606,127,578,739,637,389,477,701,095,287,245,654,639,
899,472,743,550,148,242,116,200,352,627,541,778,062,410,165,709,370,880,603,
509,395,920,859,883,025,916,440,952,562,577,013,164,887,774,111,870,441,581,
796,966,364,267,026,361,091,336,772,359,231,377,185,784,753,321,404,535,022,
908,703,341,970,190,001,401,435,246,335,071,053,483,000,299,034,941,820,450,
127,864,178,582,450,893,464,297,056,661,015,404,997,002,978,887,107,880,715,
889,366,817,231,041,554,654,836,187,405,653,402,833,455,805,924,113,770,701,
456,543,207,965,126,989,065,935,217,984,558,779,757,925,004,598,107,449,364,
604,145,994,704,703,690,946,745,091,781,121,890,391,286,537,737,416,140,714,
598,266,410,339,116,195,490,276,452,827,351,959,073,995,307,041,403,426,737,
596,878,270,427,762,126,994,356,945,867,339,515,779,939,200,573,563,038,309,
306,077,878,685,308,790,513,414,379,507,795,218,842,799,663,379,493,452,138,
671,151,721,630,587,457,281,032,718,032,564,270,975,946,893,230,848,865,670,
838,414,769,873,182,044,507,311,212,514,860,520,231,196,573,981,279,755,907,
935,719,393,507,741,363,084,495,660,259,105,154,470,871,663,575,052,523,671,
434,360,629,807,071,121,925,316,379,378,148,985,517,329,082,641,820,329,489,
736,641,276,610,443,906,912,474,408,925,116,991,259,791,961,904,333,565,055,
405,337,141,387,817,965,821,435,959,731,987,142,684,868,356,363,651,199,490,
449,101,359,462,437,108,497,739,644,183,942,819,473,845,998,637,700,301,820,
743,278,570,815,972,486,372,693,120,573,964,864,372,187,628,059,615,499,634,
241,899,587,696,468,705,365,292,242,442,744,501,504,698,082,179,273,248,573,
200,276,477,164,516,983,510,651,817,708,133,243,249,449,585,145,143,284,049,
137,185,141,505,849,193,039,208,368,226,538,776,484,969,311,757,969,492,998,
807,716,360,800,415,008,627,381,572,821,963,893,169,764,965,586,145,070,359,
586,911,644,767,695,634,713,108,885,277,700,109,859,018,246,166,452,739,533,
387,853,774,104,930,138,232,685,754,810,660,718,324,903,138,968,627,648,432,
189,693,103,221,557,616,443,802,164,092,952,438,522,251,103,776,043,084,792,
490,654,907,919,526,755,763,063,909,390,824,114,148,742,396,597,372,825,790,
634,547,687,387,946,061,666,873,377,665,010,372,801,922,537,074,916,921,138,
255,688,077,591,297,727,325,865,114,966,557,648,397,966,671,057,399,658,019,
553,347,725,218,902,180,594,143,571,846,778,031,798,616,471,094,122,118,285,
154,136,054,943,752,209,710,099,864,910,253,092,629,454,691,517,257,522,162,
199,993,140,303,405,262,747,324,715,037,750,195,765,783,658,999,252,213,555,
902,206,975,889,185,744,105,824,641,828,617,431,122,460,666,209,547,574,080,
665,839,623,823,786,264,929,861,059,130,285,920,588,518,690,415,700,728,517,
873,155,298,219,097,425,346,641,459,487,512,571,361,589,359,592,532,679,142,
225,120,001,636,280,977,143,446,062,298,636,866,530,582,925,624,395,377,087,
953,777,742,371,822,685,842,897,026,641,373,363,955,245,867,658,277,538,115,
922,873,939,791,347,314,955,274,368,303,941,399,613,340,655,910,273,713,689,
276,402,059,527,574,185,066,944,928,410,261,432,591,519,327,931,412,837,641,
964,163,217,805,580,538,507,460,150,027,255,322,964,712,166,362,955,319,148,
581,563,197,301,106,386,282,263,251,062,783,364,929,366,931,790,487,838,759,
000,456,650,098,862,300,396,245,708,851,161,319,848,728,536,703,402,050,316,
914,887,921,687,656,353,444,621,732,263,669,461,328,256,319,442,863,298,365,
891,278,564,635,289,370,558,704,352,432,567,965,563,655,941,341,718,002,974,
481,292,784,273,405,978,269,684,689,716,944,614,806,183,624,895,353,629,078,
297,799,885,736,352,489,349,206,164,337,605,196,490,068,825,566,053,045,007,
687,604,741,547,782,828,543,205,514,068,229,944,039,904,375,664,904,090,195,
151,061,339,629,204,064,904,107,195,878,805,792,857,433,028,940,829,426,870,
969,339,274,027,130,712,154,198,197,975,308,540,698,901,361,493,087,685,006,
003,455,851,330,877,599,808,887,740,641,765,727,494,350,517,845,884,959,509,
304,149,639,181,048,158,878,907,712,597,575,737,003,195,235,401,188,075,237,
258,209,563,798,609,196,647,966,538,742,332,258,938,768,909,090,223,486,658,
996,215,817,408,769,217,816,291,220,896,725,224,979,296,994,977,946,451,963,
027,782,577,264,114,608,888,083,303,895,832,496,265,894,922,279,746,296,966,
116,095,922,909,594,390,504,294,960,912,158,267,633,679,365,377,274,116,149,
530,160,651,635,496,750,439,371,626,592,968,817,724,198,713,907,490,678,539,
562,673,527,526,302,474,059,103,628,895,594,626,645,009,000,645,437,082,453,
980,965,084,588,390,988,863,139,983,155,465,311,103,306,310,054,042,579,132,
256,258,842,202,506,384,084,027,975,254,051,114,661,385,450,203,853,559,039,
745,076,518,339,062,064,242,623,232,753,529,306,158,488,995,070,855,548,699,
089,252,562,656,956,238,242,649,452,881,639,933,952,278,268,290,117,522,050,
208,695,992,575,548,369,838,870,705,720,802,547,829,602,627,100,680,797,126,
096,618,067,363,925,266,627,348,850,958,789,402,201,121,830,926,344,395,166,
818,958,092,777,102,969,386,074,185,298,534,497,103,811,521,482,916,646,375,
783,036,930,781,815,543,786,420,257,227,182,684,388,411,468,717,869,955,144,
416,214,551,816,856,373,666,678,354,680,897,521,643,830,315,693,484,915,759,
091,147,223,596,789,341,961,683,257,813,327,819,665,520,250,227,282,836,136,
542,944,845,609,027,337,996,761,310,996,042,320,663,017,505,399,731,945,110,
684,993,072,847,431,753,115,400,742,865,152,336,217,793,687,919,710,754,794,
068,870,385,935,749,826,914,543,918,540,861,349,178,454,444,899,660,928,939,
113,266,966,383,429,078,545,108,105,998,222,243,559,867,771,217,776,236,172,
998,940,282,828,752,456,237,001,341,834,299,664,965,337,151,410,829,001,203,
401,343,139,179,402,898,813,422,687,621,165,270,414,287,589,882,283,734,422,
673,035,788,480,403,448,889,429,152,105,720,289,153,388,965,039,973,739,649,
958,366,313,083,885,434,188,218,246,981,014,265,681,156,008,103,258,511,452,
439,914,192,852,794,731,668,898,097,932,175,010,870,959,524,943,724,874,513,
402,652,141,215,565,434,010,608,137,143,997,204,245,098,921,078,912,734,071,
350,354,656,385,096,704,032,487,157,877,803,533,260,045,572,296,363,188,857,
155,731,179,973,459,760,107,358,719,688,424,646,403,881,756,944,813,781,261,
685,877,282,693,906,379,327,728,359,065,050,760,595,851,950,124,202,457,413,
041,083,497,118,211,547,547,108,684,102,355,118,711,995,207,377,531,364,246,
671,502,579,652,463,492,362,655,774,383,584,998,808,820,787,842,994,529,094,
304,393,663,275,109,001,389,051,488,344,651,396,944,460,611,980,050,151,338,
425,526,733,671,374,469,103,767,810,582,196,708,420,440,721,377,569,678,610,
269,671,221,481,958,582,156,945,315,082,311,757,378,059,897,930,782,888,815,
492,695,305,110,243,061,553,603,602,618,544,268,603,268,313,197,337,289,264,
378,807,069,067,106,606,927,751,541,690,799,910,099,493,881,553,156,605,032,
928,851,213,374,206,092,732,106,460,434,373,404,779,306,381,887,704,430,518,
203,925,837,976,336,446,962,703,029,528,925,388,178,762,944,074,835,962,972,
704,256,207,110,641,864,227,603,557,270,523,804,421,334,373,071,686,346,698,
363,252,794,285,106,091,747,402,725,058,778,195,229,761,026,129,620,091,768,
508,131,842,963,569,361,755,672,925,679,512,660,191,572,515,329,334,144,662,
133,137,792,607,882,470,142,565,936,498,502,174,641,641,700,789,075,565,348,
892,556,313,033,900,873,880,528,049,704,064,862,289,874,796,059,846,502,470,
113,859,028,924,591,195,816,574,821,681,844,954,231,581,318,982,432,218,880,
117,329,834,539,060,959,961,101,471,885,550,220,759,231,571,685,741,936,033,
638,331,195,813,595,061,674,835,286,359,935,805,086,938,013,045,044,876,957,
257,501,453,956,950,647,412,214,509,315,115,899,596,892,733,893,397,078,637,
381,440,643,264,296,087,078,950,824,089,910,122,106,141,977,425,911,731,458,
447,114,335,648,980,745,124,824,609,499,085,025,652,158,001,634,733,750,862,
470,871,885,468,430,661,038,361,587,160,696,339,904,846,207,111,285,216,769,
967,132,682,558,821,564,501,541,412,698,997,761,088,974,500,256,385,804,255,
083,385,386,531,495,314,913,170,332,380,600,135,000,477,884,303,514,092,892,
171,211,911,698,513,247,509,232,720,944,638,459,725,319,694,715,449,565,495,
249,668,553,373,833,640,639,197,109,867,312,131,599,420,925,764,966,080,955,
291,632,610,679,016,946,144,098,596,203,874,626,061,228,143,622,366,762,122,
330,078,995,449,320,400,123,445,673,021,398,926,836,861,913,079,756,376,681,
885,000,339,773,577,251,769,199,075,218,483,030,739,021,224,195,515,491,203,
038,735,598,424,329,593,847,954,213,910,120,154,299,463,675,108,136,353,362,
344,516,804,572,887,037,516,574,579,488,939,942,581,634,138,445,383,735,441,
048,288,988,888,105,425,837,813,658,706,256,465,091,537,209,711,454,899,346,
319,240,526,715,880,575,197,222,611,275,882,124,244,710,291,725,230,815,792,
474,044,179,696,551,872,625,480,512,773,189,746,654,694,513,078,214,485,624,
151,012,492,515,020,134,310,372,003,136,769,834,895,124,881,178,696,083,026,
588,442,912,965,694,149,237,769,575,046,617,087,564,341,075,528,961,366,661,
713,776,843,454,526,898,668,971,557,386,745,971,371,456,205,838,729,894,868,
133,975,241,413,078,351,776,117,539,312,045,582,950,474,820,317,624,743,807,
856,233,407,310,605,696,165,924,287,070,942,052,620,847,661,763,066,026,522,
156,164,470,090,378,711,839,941,448,201,453,176,885,925,907,370,119,449,819,
832,079,325,187,144,355,313,874,869,460,699,270,097,995,322,332,547,456,156,
664,146,719,586,181,525,494,628,869,152,251,669,896,308,727,495,189,482,123,
299,248,675,328,072,397,312,727,058,974,892,817,004,354,841,196,953,986,838,
833,480,694,195,432,421,760,029,183,396,340,678,842,588,641,622,101,399,092,
184,585,313,499,229,569,491,418,011,758,292,369,447,795,117,762,863,728,692,
007,563,362,508,550,077,492,497,901,355,075,949,352,585,759,005,183,950,454,
353,207,380,677,681,308,645,175,127,268,439,818,587,403,854,682,338,778,551,
876,591,520,372,715,249,588,257,791,032,015,786,944,490,845,517,363,837,694,
263,834,924,828,312,716,630,386,970,304,218,550,150,146,351,413,265,520,039,
940,618,675,981,716,735,558,529,424,396,254,291,738,671,387,279,741,252,294,
628,908,251,558,345,237,235,846,991,999,829,104,178,089,869,053,943,379,601,
425,633,676,512,260,613,558,183,014,398,838,842,019,503,938,696,678,109,428,
644,994,057,786,538,391,179,170,144,764,382,685,239,930,064,057,809,689,571,
858,812,406,553,603,485,873,553,249,294,426,710,896,503,360,063,953,320,584,
755,162,697,280,493,105,100,436,454,693,556,524,595,305,768,397,114,668,885,
078,343,438,529,076,643,533,498,176,317,343,264,508,805,697,945,159,428,098,
037,733,087,115,237,643,655,914,165,655,118,493,528,576,689,644,280,486,797,
783,447,173,458,233,734,950,891,819,019,762,134,908,416,212,293,410,089,960,
986,537,670,983,267,694,464,082,826,992,900,304,021,550,094,080,298,114,689,
975,656,682,791,404,105,832,264,904,346,623,571,765,566,784,053,346,372,612,
767,027,939,847,188,924,170,715,719,644,953,625,429,916,030,861,346,883,667,
993,624,831,364,561,349,472,623,312,794,091,911,055,025,196,145,988,455,040,
118,369,783,350,586,779,836,004,849,401,910,810,476,544,994,528,747,911,856,
865,538,453,783,921,250,301,559,190,359,656,069,349,588,910,755,398,365,200,
031,359,614,405,120,433,436,503,199,248,122,399,248,265,922,831,584,700,919,
741,839,454,948,137,574,241,944,888,251,024,066,283,783,525,319,899,655,309,
093,301,680,535,334,838,694,450,850,143,289,655,995,780,099,288,661,042,905,
170,432,307,677,138,570,069,560,887,263,505,186,313,694,307,248,505,335,222,
747,551,723,027,412,445,904,691,322,350,918,110,787,017,260,922,807,782,740,
981,381,134,974,623,746,423,936,923,996,933,217,812,742,197,766,546,097,749,
825,574,759,267,959,515,553,860,074,584,966,105,536,874,506,049,285,249,684,
869,912,625,868,142,167,376,909,689,920,858,934,850,123,539,616,365,750,647,
930,554,020,789,824,164,841,661,289,431,000,151,583,605,559,753,613,377,659,
005,680,290,065,473,709,968,305,322,651,597,260,550,909,832,490,221,319,407,
318,709,509,974,582,016,592,477,087,066,114,215,954,905,035,766,681,640,754,
059,863,616,727,003,941,427,843,055,339,657,362,940,650,431,989,912,993,448,
306,294,481,796,495,054,157,570,188,236,055,323,594,343,653,438,850,735,612,
993,508,585,322,744,807,907,744,127,086,942,280,905,328,509,384,928,910,715,
888,987,289,886,560,763,469,172,768,733,655,957,355,288,372,593,526,357,523,
912,181,313,962,309,142,888,253,320,538,792,053,449,091,118,727,395,905,747,
255,876,867,864,695,473,056,526,134,067,839,864,594,860,127,328,834,019,096,
320,360,248,116,358,560,844,519,023,921,122,315,632,698,720,423,435,850,976,
089,355,084,335,110,675,443,038,621,122,315,086,406,093,302,911,420,083,652,
269,101,969,910,892,459,187,220,568,528,771,316,530,190,838,654,641,281,916,
406,815,234,196,868,513,748,934,863,328,264,061,823,069,589,888,281,659,797,
989,902,976,242,849,441,366,709,950,767,619,880,218,265,910,618,837,679,290,
973,959,129,300,350,758,973,170,686,877,724,028,889,697,142,733,373,258,333,
973,177,033,162,641,938,996,684,256,794,223,646,287,510,301,609,213,634,874,
429,214,351,554,670,762,891,235,445,291,318,209,005,429,313,464,747,451,928,
165,130,229,874,912,860,135,698,442,117,343,515,102,137,779,657,657,622,515,
414,602,908,537,804,358,392,208,841,893,332,172,312,925,918,992,256,204,953,
343,471,267,211,722,688,235,629,731,707,510,340,076,248,926,361,803,484,706,
622,629,617,334,242,146,009,257,229,094,118,772,497,447,072,347,827,494,513,
553,205,392,956,210,360,957,206,430,639,004,240,624,932,319,469,117,845,170,
125,470,359,244,138,958,285,907,418,963,736,991,794,674,941,324,638,235,326,
302,731,335,376,862,362,982,971,902,058,383,434,877,623,191,963,695,954,641,
774,016,212,225,020,710,595,221,548,332,680,328,827,976,198,682,734,629,956,
524,106,882,946,636,491,207,313,757,595,732,351,532,577,846,096,738,227,940,
473,056,191,622,885,453,341,732,294,402,691,850,512,005,624,410,126,381,174,
429,070,636,046,538,192,019,355,611,201,860,141,894,082,746,229,304,685,513,
111,471,334,996,038,455,210,049,504,010,417,194,761,557,348,757,129,768,712,
647,100,257,278,604,483,821,533,501,668,685,770,695,780,498,891,330,533,533,
106,213,250,230,817,103,846,606,514,853,609,795,838,791,325,890,056,659,961,
692,232,831,712,507,051,926,945,433,669,103,959,004,252,110,846,465,225,104,
526,278,900,145,275,282,811,121,695,090,305,455,681,450,919,062,441,035,795,
672,954,212,855,312,061,432,969,318,028,073,842,964,337,394,318,304,385,932,
827,122,459,310,311,576,980,049,382,756,313,964,883,615,932,150,341,899,629,
140,183,949,120,700,307,318,917,529,384,414,075,184,908,505,428,494,605,369,
135,247,013,271,061,837,741,502,132,678,277,661,082,373,815,925,201,155,152,
009,513,534,745,884,882,321,163,780,077,024,318,089,773,523,103,578,557,936,
476,895,751,729,263,964,290,856,677,980,434,025,853,716,264,009,870,769,204,
467,114,818,106,147,720,671,038,219,485,627,928,810,126,645,736,756,331,694,
172,365,386,341,963,015,864,421,997,529,141,040,571,742,018,232,408,571,891,
952,514,510,325,300,004,230,021,904,280,583,202,326,927,236,668,674,196,361,
895,449,299,346,044,738,436,077,749,448,973,933,169,767,716,918,776,110,740,
162,843,848,231,067,363,469,563,662,920,845,249,183,178,753,016,664,417,595,
333,366,191,616,969,301,052,862,242,388,648,093,663,222,732,490,009,305,063,
285,797,111,275,878,358,753,590,284,836,144,068,278,139,572,304,639,853,098,
651,800,982,101,546,615,091,360,860,846,748,734,204,641,985,492,303,176,666,
863,511,666,081,470,599,610,492,943,551,577,340,444,444,672,801,189,726,317,
359,077,098,956,359,158,221,413,261,548,206,766,338,906,039,549,183,738,525,
736,650,658,394,718,252,964,001,509,513,570,101,224,892,217,809,495,704,652,
245,509,057,345,278,995,652,963,305,686,424,724,890,513,848,840,348,203,153,
768,155,726,979,796,340,650,959,310,362,500,869,115,331,996,272,021,844,262,
492,725,806,950,617,977,398,506,265,509,297,800,016,028,303,930,561,117,781,
765,201,605,010,813,029,861,856,613,479,939,482,351,114,667,659,585,739,631,
952,258,548,905,246,580,520,761,730,274,479,744,157,873,700,429,139,365,723,
269,558,307,917,731,538,558,309,574,789,090,813,129,172,445,303,051,716,780,
736,828,206,834,179,394,763,346,980,780,971,641,123,530,378,742,582,926,593,
426,082,544,169,730,819,467,375,720,855,618,942,183,952,807,212,044,484,636,
777,575,779,266,597,711,234,563,920,868,227,130,634,907,413,956,335,628,183,
911,151,129,753,913,874,164,312,811,244,880,221,015,327,942,073,853,145,787,
914,866,849,361,371,121,632,603,681,794,012,130,439,953,252,240,977,678,451,
033,327,867,321,077,756,059,380,649,060,458,506,427,939,753,461,211,298,888,
851,581,022,573,262,991,199,106,108,722,395,472,395,623,891,000,924,689,131,
937,004,375,561,592,299,568,099,609,760,905,166,136,632,902,125,845,387,250,
251,125,380,000,017,094,422,026,239,919,733,636,603,540,123,023,605,688,211,
231,329,000,899,269,144,062,259,457,660,261,103,674,410,199,881,568,743,026,
141,469,516,658,787,257,764,223,684,501,767,378,584,427,342,612,704,886,998,
539,930,173,945,644,988,315,159,042,207,576,742,377,928,250,874,060,816,455,
829,225,183,124,723,488,163,022,635,295,908,675,282,655,024,450,760,936,673,
927,952,931,589,285,993,000,802,836,891,466,181,798,074,776,878,024,731,011,
633,629,796,727,612,204,767,748,950,340,702,074,238,930,486,414,945,744,661,
252,402,031,107,206,376,539,745,169,500,545,415,768,261,020,508,347,824,467,
395,685,862,593,629,204,285,022,407,115,708,701,796,286,732,063,898,194,845,
083,412,907,012,224,705,580,417,946,358,305,202,331,461,845,115,618,054,810,
428,473,697,393,680,532,077,506,323,892,544,929,088,354,099,819,608,069,765,
496,905,605,126,975,778,027,584,273,540,457,621,615,623,173,114,441,372,352,
225,879,701,496,109,026,687,554,551,959,805,111,361,430,339,746,088,400,615,
646,093,548,458,976,646,677,236,792,670,312,168,547,578,086,847,690,408,984,
357,238,927,008,677,652,574,389,664,744,776,603,091,484,031,650,335,127,958,
304,412,509,758,155,382,694,136,911,730,375,854,226,380,082,294,808,322,373,
123,592,503,144,958,644,761,342,810,305,162,000,418,276,541,396,070,372,410,
923,307,141,880,248,202,926,330,438,968,293,629,335,427,870,896,742,610,636,
307,296,504,313,829,007,118,420,731,355,859,457,082,202,194,733,981,406,276,
319,221,711,029,711,339,523,218,437,496,928,006,784,540,143,254,945,863,171,
838,565,626,480,388,409,747,523,752,223,792,208,790,974,565,876,802,422,768,
427,164,515,548,110,216,689,184,584,954,140,941,307,990,926,226,599,699,924,
271,067,205,018,913,730,752,915,231,016,034,072,333,395,349,295,214,133,288,
807,713,366,501,956,666,422,346,355,110,453,198,176,653,409,815,842,818,228,
215,801,185,798,325,577,876,248,676,941,363,037,404,514,230,634,496,083,074,
378,302,678,317,609,766,057,202,301,210,525,918,079,838,631,183,334,127,194,
558,114,979,572,582,081,106,612,508,015,274,766,449,615,446,187,885,011,612,
880,832,919,400,232,687,899,564,328,293,388,114,741,571,072,649,048,784,583,
533,973,649,247,185,882,697,589,321,045,913,990,497,255,594,079,296,999,868,
151,268,072,373,767,571,927,158,326,736,269,370,836,963,163,603,467,896,564,
373,598,427,780,423,278,808,717,861,776,611,422,879,316,695,148,430,758,501,
699,966,789,434,118,560,250,523,023,031,908,732,237,999,091,845,452,902,596,
219,873,832,811,156,903,989,503,475,468,159,264,057,765,107,548,834,143,301,
688,557,118,678,093,881,335,857,063,119,281,372,092,278,806,349,955,234,389,
498,799,539,096,704,730,788,716,660,678,228,598,566,234,912,617,234,113,152,
832,911,250,203,150,326,710,647,045,776,198,344,838,117,604,347,706,701,636,
006,035,248,145,929,341,863,041,384,893,817,194,745,601,215,959,471,514,904,
639,800,579,437,803,130,484,715,499,347,785,433,215,314,316,553,207,800,897,
322,234,684,214,949,772,347,624,618,773,510,930,836,489,026,664,870,930,306,
648,068,838,508,645,491,149,695,665,647,811,453,661,880,597,526,242,984,867,
272,640,441,680,311,705,890,540,053,790,343,231,554,732,065,315,488,643,721,
670,747,317,179,496,024,971,196,289,364,543,037,577,579,617,788,512,466,994,
411,940,431,197,370,792,996,122,056,917,001,486,948,329,753,767,021,354,486,
326,504,500,339,163,749,432,931,632,958,980,377,995,600,889,262,869,136,879,
409,050,967,951,271,537,330,303,276,316,945,605,371,220,814,835,605,661,817,
385,854,115,794,314,822,339,206,235,927,615,027,720,567,855,463,821,761,350,
095,604,935,041,526,347,226,884,002,943,471,607,196,206,146,445,006,314,200,
335,854,045,122,592,551,637,862,820,115,216,258,641,396,594,578,410,513,875,
544,403,764,486,694,104,250,154,292,498,455,013,553,729,746,007,001,199,709,
935,295,958,315,743,806,607,123,905,868,627,039,289,465,775,032,984,075,935,
045,829,881,291,292,953,901,458,354,787,220,080,988,367,631,448,793,605,886,
327,057,694,750,006,291,444,486,116,611,792,379,313,193,581,426,456,064,271,
428,249,645,801,187,174,705,721,229,057,271,657,030,861,731,785,734,671,952,
339,043,707,331,817,483,732,332,396,798,489,997,612,474,234,981,640,321,586,
749,953,512,024,818,407,308,593,325,322,802,083,652,200,555,639,847,846,670,
907,402,925,578,073,013,265,970,271,500,631,278,551,606,356,900,222,809,509,
053,237,319,756,877,067,691,302,641,128,452,373,816,019,034,682,393,504,529,
793,908,850,864,961,492,119,231,563,089,542,244,438,040,430,844,078,532,173,
752,779,675,582,144,794,059,241,891,323,910,657,462,983,748,518,476,967,214,
479,666,495,299,956,392,478,970,441,206,621,422,286,207,425,505,151,695,544,
606,366,651,257,701,999,856,209,227,063,662,499,415,969,049,558,052,880,986,
344,989,361,797,288,397,070,705,824,013,531,402,043,395,861,461,061,055,392,
227,940,818,787,347,079,158,100,738,733,008,174,046,914,234,190,217,300,770,
025,444,404,991,371,420,847,211,635,006,577,412,205,273,523,911,554,045,122,
122,592,497,256,313,282,069,412,322,315,474,252,609,605,338,184,323,436,035,
048,020,472,295,781,318,133,719,036,131,235,043,970,465,956,699,906,534,625,
678,572,248,532,246,454,730,966,438,123,680,923,760,804,582,081,365,380,885,
914,221,993,361,661,422,449,826,221,800,891,551,987,293,265,625,375,479,006,
760,906,336,633,040,952,020,987,238,473,253,064,577,139,718,174,166,384,051,
863,004,303,702,015,754,149,008,851,202,437,612,569,475,921,570,369,520,588,
855,119,155,673,590,691,419,408,648,031,522,905,900,560,625,069,312,551,441,
684,374,112,641,845,633,122,300,085,833,563,593,420,043,785,035,175,681,995,
976,403,818,990,541,755,925,683,487,694,786,261,596,286,718,242,940,421,286,
165,813,600,589,820,716,896,340,384,477,379,598,311,570,876,763,368,133,212,
668,464,537,053,980,715,394,045,152,092,984,835,024,159,198,604,328,136,517,
982,364,233,845,503,806,321,730,563,210,759,940,963,246,213,244,900,048,471,
579,827,278,769,409,130,483,226,432,485,917,054,273,004,576,326,398,452,157,
690,880,795,670,706,770,467,986,303,812,076,077,285,483,773,262,253,727,540,
102,855,247,492,044,680,979,365,632,976,296,280,272,120,728,960,039,872,300,
024,423,904,016,362,485,120,899,125,182,608,017,169,706,760,306,555,093,977,
732,479,666,279,192,723,658,611,838,030,216,050,083,963,179,784,765,742,996,
526,769,439,572,564,924,520,745,759,650,063,698,732,395,936,460,214,702,510,
376,946,375,704,303,249,474,193,985,380,543,522,447,721,595,144,588,043,227,
824,384,678,762,971,830,824,921,205,743,021,883,588,346,640,301,002,370,580,
250,159,671,636,635,476,195,062,900,968,728,247,096,619,128,796,814,314,092,
617,570,606,153,224,392,068,293,569,500,048,123,623,177,576,779,854,626,401,
895,058,057,461,469,444,945,179,457,306,072,793,830,204,627,318,617,668,193,
062,611,548,764,341,271,664,252,481,394,439,923,852,405,156,691,024,246,492,
090,282,164,921,181,250,018,593,741,781,266,073,756,992,078,055,797,406,911,
671,540,148,833,655,022,261,378,511,210,871,735,142,772,107,245,692,254,689,
132,925,703,549,060,107,442,926,922,609,056,771,108,446,330,820,132,035,968,
761,082,283,481,363,240,341,621,769,069,205,607,668,560,456,400,766,219,596,
224,665,937,276,021,885,878,127,769,600,815,715,577,505,369,371,846,039,692,
328,697,606,195,934,126,042,612,126,371,716,225,461,774,418,683,245,666,085,
191,250,754,820,738,025,186,266,440,357,252,026,653,356,640,414,145,391,521,
849,559,242,619,490,613,752,879,950,071,006,825,746,039,140,163,531,583,399,
099,115,615,997,482,603,707,203,780,321,905,698,448,767,326,725,436,102,962,
808,690,131,534,655,736,835,638,391,666,193,021,286,784,304,064,141,364,319,
262,207,154,535,697,625,216,505,789,741,069,542,528,418,549,001,200,932,624,
696,772,825,835,313,507,325,517,120,955,028,506,431,949,995,179,529,936,920,
841,817,869,789,425,940,889,808,473,216,567,351,752,578,534,392,634,423,681,
023,751,067,991,621,470,052,101,261,741,867,342,630,060,317,633,217,189,569,
655,065,994,637,510,409,636,355,866,821,509,126,356,774,652,773,458,166,159,
002,982,779,008,823,883,046,092,572,974,052,855,418,917,341,333,861,584,280,
492,359,339,718,937,032,351,722,984,756,242,756,309,475,277,594,264,690,958,
931,171,129,891,716,757,571,482,438,646,444,514,233,191,518,137,991,840,684,
551,615,052,723,366,233,266,221,849,405,852,366,737,366,005,571,653,089,261,
194,566,376,288,082,139,946,635,955,096,805,971,295,845,828,514,587,059,190,
219,680,540,878,228,219,630,529,793,280,764,250,485,782,103,596,008,070,994,
026,491,228,602,233,088,019,900,009,591,875,973,289,855,423,138,043,032,623,
438,176,238,551,014,730,263,301,513,183,082,204,118,837,798,612,456,851,925,
354,961,089,306,456,003,654,608,288,894,123,746,217,756,491,836,507,892,168,
622,121,559,033,028,215,730,831,697,296,380,926,575,313,818,717,549,689,454,
464,924,063,273,305,021,877,750,352,757,914,145,480,441,440,777,141,599,895,
921,945,771,107,395,777,867,771,727,935,706,150,409,802,496,427,143,532,972,
619,920,653,200,473,583,231,570,842,745,717,666,709,797,479,497,953,946,848,
409,431,315,410,589,165,991,801,664,320,975,336,089,270,437,474,738,526,713,
974,169,609,410,176,042,566,318,542,668,901,763,314,926,494,176,308,341,661,
095,172,271,827,344,371,230,727,802,217,519,278,479,509,282,319,934,796,726,
069,772,721,286,406,031,640,165,210,421,756,709,540,185,080,191,110,262,785,
367,140,105,378,752,395,963,433,296,101,806,439,612,461,597,109,808,975,619,
516,356,808,038,354,144,337,182,714,165,088,712,556,983,296,013,391,626,475,
888,370,509,622,772,207,047,327,114,476,811,921,243,328,662,367,100,845,920,
550,536,871,543,906,454,736,830,357,747,891,467,008,388,697,547,103,221,315,
730,100,130,760,872,313,822,162,181,909,474,272,561,630,327,265,895,910,831,
460,733,034,237,856,004,330,273,811,277,553,543,756,303,619,537,050,459,762,
682,564,338,408,100,336,225,155,001,311,560,992,273,755,612,116,301,568,747,
407,500,771,335,183,771,926,387,296,729,012,334,922,982,473,631,381,746,498,
409,636,169,981,966,634,488,386,620,958,152,910,073,596,225,869,811,339,455,
696,927,621,240,545,126,618,493,445,094,413,535,746,397,762,942,585,788,694,
542,382,736,064,327,233,336,053,040,412,531,490,050,542,517,709,299,816,045,
005,388,969,288,395,444,156,683,117,932,531,747,703,037,354,642,136,436,692,
578,293,811,254,362,519,866,536,065,255,049,231,443,542,158,323,497,101,265,
160,196,268,381,967,551,083,857,911,981,144,870,608,637,919,900,655,043,477,
966,141,927,956,298,912,574,735,304,816,201,603,837,915,841,501,208,483,760,
994,717,905,956,384,895,647,893,770,868,717,926,002,759,718,146,264,357,284,
944,821,466,585,750,610,935,896,888,661,592,586,900,607,253,801,685,981,622,
612,612,302,783,271,668,398,188,451,056,846,432,854,415,123,242,183,835,968,
049,293,267,890,476,607,695,500,917,980,383,260,666,637,595,481,570,274,064,
144,307,274,872,964,127,440,662,142,754,104,418,308,169,108,892,908,980,962,
561,269,059,384,806,380,114,418,554,660,790,445,718,399,490,514,449,800,349,
760,881,297,504,086,489,479,047,534,356,116,704,338,600,634,505,424,377,447,
771,241,726,396,087,414,500,125,788,853,794,164,313,210,826,340,644,567,249,
161,159,689,301,885,702,619,653,127,483,998,269,189,064,391,049,784,137,507,
155,469,429,083,691,645,584,112,119,637,466,956,346,919,791,409,356,325,262,
725,681,001,127,832,750,362,535,281,143,049,264,854,357,230,714,141,959,670,
124,517,433,235,888,185,776,240,687,346,649,053,578,735,177,154,732,870,982,
280,228,486,901,432,191,471,147,673,522,733,209,964,597,355,182,340,805,072,
296,023,735,521,910,461,373,561,001,033,715,466,809,967,829,002,226,838,232,
764,716,665,891,180,457,340,908,550,269,200,274,862,263,769,838,868,166,918,
770,050,800,362,926,458,441,019,207,523,370,503,199,312,119,765,157,941,655,
273,991,976,807,164,848,691,937,542,447,752,010,239,672,707,749,795,454,114,
681,589,488,012,167,529,582,158,441,542,192,267,853,029,969,169,841,406,300,
167,738,238,188,979,478,902,125,764,674,359,169,786,993,691,667,477,179,783,
049,384,094,694,687,148,091,232,336,522,688,907,357,265,281,072,258,903,555,
812,765,763,431,155,676,521,752,349,322,355,941,940,635,939,074,691,823,297,
272,294,448,098,829,774,139,621,079,629,129,745,373,417,616,620,592,902,461,
695,219,401,240,360,422,719,899,937,109,958,294,548,444,302,083,611,387,456,
252,220,608,636,037,910,112,871,697,359,014,135,364,757,551,018,324,600,067,
397,981,961,923,491,446,668,470,410,361,239,326,936,734,082,099,936,171,084,
626,853,808,053,566,281,906,698,190,587,183,613,306,965,786,367,141,646,698,
158,647,707,818,848,636,765,317,813,768,288,516,706,750,586,059,784,676,581,
818,457,629,155,808,816,482,624,248,722,938,865,866,947,378,220,616,302,107,
890,259,776,616,901,070,947,763,790,666,204,162,536,257,836,539,161,780,520,
533,651,530,355,431,372,666,059,177,393,390,535,578,075,870,878,076,096,963,
811,056,618,991,324,372,368,257,998,320,078,573,127,679,817,943,126,427,300,
790,034,650,055,928,609,017,739,561,034,630,114,601,285,588,413,376,991,730,
867,523,577,685,754,139,474,149,394,018,727,902,268,270,287,335,294,553,955,
928,252,452,144,889,117,743,617,654,602,862,830,750,869,927,884,069,590,792,
627,671,521,914,683,627,310,029,779,397,688,285,641,080,840,594,360,385,081,
154,963,434,550,058,132,059,821,195,468,027,309,775,512,619,114,295,125,196,
422,772,408,197,829,933,840,197,844,683,860,028,995,717,898,326,162,400,804,
002,570,613,322,684,935,084,884,472,706,559,081,125,635,653,366,396,554,681,
363,639,220,832,820,277,420,281,469,017,551,771,983,863,073,748,248,481,604,
860,643,552,676,219,570,427,430,142,020,235,278,943,651,103,169,025,783,376,
768,597,391,175,701,233,169,201,886,326,722,368,655,023,968,972,112,181,936,
471,680,420,384,224,767,479,603,290,089,797,845,030,051,547,789,832,948,331,
957,552,832,264,071,096,910,084,615,305,928,958,574,965,146,318,113,354,239,
724,190,797,884,231,608,901,881,142,370,243,180,114,107,569,900,921,235,843,
634,601,718,696,403,031,454,778,591,859,049,156,877,222,555,454,229,244,409,
247,428,276,265,807,489,258,544,749,839,202,614,387,960,624,596,599,613,638,
168,705,117,784,120,070,101,234,577,334,233,094,151,921,934,625,919,984,354,
186,502,218,490,786,175,773,525,298,372,650,617,561,106,598,937,435,580,748,
451,984,718,065,140,991,398,991,861,630,788,004,404,197,979,159,400,602,769,
093,257,879,490,395,555,044,752,793,194,950,546,910,320,706,912,264,733,025,
818,975,401,548,141,060,445,498,878,249,357,264,149,386,605,160,246,373,919,
723,752,318,264,936,888,795,858,217,264,550,652,926,776,302,929,373,439,491,
170,306,643,476,886,597,595,178,489,053,735,027,339,096,476,584,823,264,841,
011,224,384,187,715,403,911,677,907,857,289,365,991,191,776,671,879,616,667,
747,597,850,668,609,657,331,370,983,573,043,309,149,629,008,690,046,812,258,
757,505,843,269,821,851,246,373,547,474,287,413,047,843,752,847,441,438,512,
268,694,242,149,805,413,003,321,429,840,672,571,863,613,620,396,078,383,801,
870,014,802,445,463,977,114,332,914,117,475,053,350,960,121,325,890,023,955,
143,685,591,691,559,550,383,629,536,931,829,174,138,865,603,342,936,021,052,
692,786,741,865,467,045,817,949,584,515,719,769,409,308,012,779,512,397,818,
201,048,288,840,788,999,203,553,091,935,699,928,084,598,475,450,356,780,361,
288,293,002,074,058,998,587,792,341,549,567,984,441,049,355,750,795,742,584,
185,063,070,290,172,067,536,302,868,385,887,229,733,156,078,394,793,842,958,
925,695,270,677,043,596,574,136,564,168,167,658,390,778,971,397,250,241,476,
814,738,238,061,550,325,546,439,857,572,410,767,221,512,052,927,232,813,197,
121,419,737,998,237,987,668,734,225,267,731,090,907,830,293,879,921,496,665,
821,213,240,264,849,120,953,463,856,687,970,418,961,110,700,347,100,513,196,
351,639,481,578,582,010,585,432,302,455,741,830,844,810,284,997,556,741,674,
137,981,446,731,978,963,934,362,181,204,895,527,496,688,559,329,911,715,153,
508,890,657,150,130,196,090,486,692,559,089,635,817,034,617,261,758,017,362,
172,825,179,737,334,689,096,403,740,641,285,481,620,593,133,322,629,126,293,
534,862,265,707,231,083,871,135,208,949,040,123,699,950,972,406,414,807,350,
018,551,508,095,122,187,414,765,728,270,410,020,255,917,640,249,357,723,930,
367,027,685,068,760,301,278,761,705,879,097,099,027,920,643,259,247,261,212,
536,043,398,971,429,496,049,959,191,821,124,303,433,599,031,022,077,754,507,
487,159,398,049,425,719,630,228,257,334,985,650,310,283,588,418,391,788,545,
365,039,469,105,523,765,831,378,865,265,427,569,774,261,402,172,531,934,536,
587,804,901,993,132,372,775,107,464,301,193,161,514,902,588,113,886,095,856,
949,178,327,981,183,326,414,833,788,014,505,817,068,799,417,917,652,350,861,
887,002,429,614,175,963,113,906,048,168,963,795,324,016,021,878,202,649,948,
184,627,621,823,188,185,131,917,653,646,106,080,945,364,036,611,827,382,905,
504,624,959,150,916,678,280,322,328,253,594,844,304,020,833,230,831,376,502,
524,706,103,143,982,414,784,575,525,521,757,059,781,839,102,764,722,128,964,
862,947,871,283,518,473,985,857,945,237,524,400,617,767,848,842,347,667,757,
723,584,421,336,171,480,977,501,068,850,046,843,793,034,767,913,888,686,733,
263,502,990,543,842,367,431,894,483,248,577,909,440,890,211,373,630,291,059,
930,306,563,785,802,376,869,181,546,819,583,282,156,852,042,545,951,618,937,
386,005,158,999,343,592,103,428,718,453,833,032,037,780,172,513,902,581,206,
366,513,837,141,610,847,423,024,638,477,245,938,264,694,705,668,974,741,991,
585,986,691,361,596,379,109,911,460,271,216,052,057,268,472,810,503,703,832,
935,779,406,156,320,989,120,283,432,314,733,698,921,585,890,770,616,739,342,
432,768,397,411,956,951,846,589,166,586,911,566,729,886,603,963,674,993,597,
666,009,575,867,743,983,069,159,616,217,379,901,255,829,655,475,253,333,620,
143,159,367,183,411,866,220,498,917,395,417,039,992,653,705,415,673,227,164,
036,155,972,314,591,227,465,356,728,425,230,755,732,541,779,197,930,760,743,
498,271,591,925,820,783,817,462,747,994,709,402,410,724,408,727,996,876,316,
166,971,915,235,540,726,490,153,069,375,328,183,562,574,547,446,191,241,542,
565,249,631,276,791,422,384,540,303,254,790,148,671,229,069,576,660,764,982,
190,688,146,139,507,062,286,573,344,586,905,352,935,312,039,691,742,455,222,
579,483,939,087,058,553,365,283,432,856,796,294,915,306,094,087,742,144,398,
730,242,801,916,743,455,845,641,854,078,148,681,078,492,067,707,573,417,293,
164,672,250,527,904,963,963,558,138,800,068,633,825,041,772,863,682,620,283,
843,354,641,776,945,870,621,857,729,509,319,111,125,445,084,729,359,695,875,
548,394,195,070,822,445,088,402,774,887,718,710,123,778,693,016,525,290,132,
197,505,958,901,375,791,795,117,462,470,798,721,163,402,650,756,964,874,846,
773,236,454,852,495,291,400,590,954,131,971,712,921,776,802,669,969,664,220,
415,029,626,926,103,643,036,965,789,951,299,736,259,334,279,093,183,872,249,
320,124,121,977,052,374,777,016,825,302,037,302,556,736,571,114,916,070,731,
420,529,471,917,482,532,536,513,287,225,231,222,821,181,878,356,184,950,390,
319,213,404,568,685,426,327,106,526,007,529,785,469,456,563,466,480,779,406,
122,575,345,970,361,468,720,236,544,623,289,937,661,895,402,112,942,106,136,
159,280,473,898,140,462,662,770,433,116,992,774,380,406,055,997,208,811,289,
533,150,985,470,379,339,109,752,387,875,862,436,429,123,265,965,068,319,610,
989,759,275,364,601,667,682,517,870,857,379,243,095,300,187,237,059,866,708,
319,211,918,329,341,493,061,893,128,594,769,632,810,590,118,637,636,581,882,
068,314,061,512,758,853,354,556,653,820,064,392,756,497,685,791,933,771,048,
068,909,738,840,029,604,872,419,390,947,119,451,924,428,080,369,888,507,127,
627,617,693,130,904,093,623,638,920,643,750,413,253,839,388,480,363,782,534,
848,382,268,950,371,685,540,739,992,139,064,363,632,989,570,220,388,667,913,
886,836,993,146,422,162,779,379,965,204,587,485,845,052,847,155,279,936,852,
565,938,367,378,234,797,931,370,951,780,354,734,968,497,033,831,133,596,184,
745,570,094,156,730,415,837,094,848,239,307,746,554,687,764,357,083,869,581,
080,986,997,988,936,648,115,972,171,010,070,253,164,477,923,051,976,774,772,
238,429,125,723,125,656,452,626,253,375,410,476,075,530,006,665,666,750,404,
668,102,064,382,261,888,449,362,974,716,211,908,486,404,169,807,385,460,762,
934,523,149,688,675,109,615,523,855,988,323,796,923,202,600,341,898,963,492,
709,418,156,488,408,984,137,921,948,034,120,954,727,422,696,759,130,802,193,
290,803,635,597,803,237,904,291,853,322,404,683,848,625,591,061,143,430,829,
392,724,975,109,200,572,873,347,719,390,032,149,671,208,161,838,042,811,156,
650,477,860,303,255,640,622,089,261,840,489,965,397,960,434,233,307,456,864,
248,703,983,661,987,411,072,120,946,031,020,057,954,504,762,935,220,749,114,
517,993,204,993,354,537,972,618,454,333,193,617,907,438,354,517,688,723,234,
790,353,852,933,295,338,311,746,519,461,103,033,176,281,978,087,670,042,280,
982,661,254,373,576,330,961,207,321,906,367,712,783,760,010,051,952,662,197,
180,234,300,570,310,637,298,877,106,705,414,144,797,875,944,429,081,109,545,
112,663,556,082,534,456,092,302,308,297,891,067,653,712,159,457,346,192,238,
346,423,506,635,551,617,904,826,520,278,588,017,113,597,243,523,852,922,609,
569,823,816,008,418,884,478,153,732,746,092,828,132,062,846,363,374,855,488,
540,968,948,308,885,179,353,583,361,762,541,385,738,679,352,219,471,816,575,
057,800,456,087,838,607,709,305,488,655,647,660,233,351,113,095,065,880,896,
135,382,642,431,163,542,666,105,656,850,726,152,074,080,310,850,839,097,468,
043,722,094,819,477,192,720,657,172,460,561,310,990,197,205,899,333,409,220,
833,241,691,311,042,698,902,328,407,105,977,629,603,896,864,687,022,226,604,
774,795,250,469,816,291,701,567,238,274,319,905,062,106,525,953,781,423,324,
776,542,997,944,347,684,808,156,643,438,376,630,783,480,802,416,291,197,552,
105,698,598,429,234,745,311,543,231,639,022,376,026,046,028,592,337,086,639,
709,305,199,638,546,141,435,330,884,017,306,313,181,656,316,666,673,562,291,
456,958,022,987,709,647,308,825,408,341,208,607,737,484,571,539,432,245,015,
625,724,177,949,986,258,503,297,954,336,630,903,650,969,976,669,097,026,291,
841,632,212,446,078,308,707,310,350,330,817,711,578,683,924,349,752,091,239,
490,754,800,241,594,646,074,588,508,519,704,553,414,128,719,688,342,568,933,
730,158,523,261,059,429,053,703,399,844,186,583,437,922,643,351,946,142,588,
452,924,412,375,447,641,879,697,599,542,944,772,364,437,707,252,621,186,281,
851,823,123,075,706,841,036,753,280,694,460,684,089,698,072,054,484,645,202,
140,743,645,478,315,112,367,993,138,854,710,735,189,389,535,763,163,453,904,
323,781,036,916,448,244,234,712,083,280,355,787,725,907,046,897,745,433,149,
474,725,945,201,237,395,683,087,710,139,891,617,459,827,606,394,262,376,373,
228,217,272,034,467,710,075,579,007,640,675,972,159,543,488,340,652,890,812,
409,653,272,337,916,557,116,221,839,368,020,591,623,300,353,078,198,453,495,
047,859,315,172,132,109,473,923,311,971,799,632,584,445,643,987,211,648,993,
621,818,145,304,403,319,648,144,839,281,944,836,299,775,542,070,781,821,979,
461,185,977,064,057,440,795,303,893,033,216,517,996,924,308,771,186,931,195,
111,208,875,366,087,556,779,482,658,665,210,451,330,918,746,838,594,996,939,
213,102,963,558,932,270,343,525,128,498,563,755,866,492,454,436,528,852,530,
318,541,722,766,684,103,511,894,273,200,295,010,237,973,765,690,834,419,253,
393,223,749,380,981,552,775,482,027,555,410,166,888,543,455,461,901,307,599,
567,736,990,795,253,380,225,006,294,129,740,245,629,025,635,226,170,398,104,
364,050,192,097,381,208,296,082,563,115,573,617,061,288,661,769,167,874,806,
100,422,403,471,001,621,703,758,186,314,498,912,496,610,792,936,953,855,021,
056,937,093,427,148,290,286,331,781,066,305,132,309,696,631,320,621,722,007,
714,134,844,707,716,788,808,476,211,046,988,860,454,182,700,444,645,043,072,
086,455,732,671,513,889,899,918,704,816,005,851,929,114,508,723,389,691,593,
209,435,375,136,958,046,257,388,017,940,347,923,339,175,901,549,708,564,149,
423,786,242,031,685,509,122,001,746,439,464,988,427,521,347,641,798,045,946,
660,802,457,344,578,931,635,539,067,108,235,913,170,403,311,712,488,161,591,
004,293,509,838,523,331,785,719,177,038,331,959,951,702,028,010,497,565,258,
084,486,333,726,235,659,976,755,586,934,740,790,673,762,790,295,156,138,819,
389,734,164,572,178,596,068,690,571,543,758,650,638,020,498,667,087,370,369,
653,020,431,128,642,303,660,104,225,678,107,316,906,836,930,077,170,411,244,
436,382,221,480,054,758,604,783,864,461,817,391,795,707,642,685,025,869,826,
732,898,628,650,306,750,072,529,450,837,950,803,445,456,064,329,875,805,008,
833,377,666,962,076,576,756,355,231,493,356,780,912,235,727,005,357,958,971,
891,350,215,801,453,448,103,236,787,559,658,187,754,435,618,720,806,015,979,
302,284,685,888,348,780,448,996,445,591,065,410,837,908,678,297,200,205,122,
632,505,709,659,916,609,641,232,558,752,501,863,309,299,898,469,244,361,797,
555,619,735,637,618,031,883,523,763,441,758,163,240,529,401,780,108,318,620,
269,603,391,839,322,904,500,344,864,155,142,295,137,910,752,130,521,368,330,
539,807,556,121,589,345,491,540,951,371,391,266,554,103,678,335,983,935,706,
872,804,251,505,127,511,862,197,693,427,092,165,808,659,703,654,683,144,147,
774,162,415,785,930,912,889,138,695,383,463,955,985,721,579,927,143,450,870,
071,806,304,738,688,525,222,938,658,239,629,173,704,340,670,513,815,159,566,
677,667,123,741,789,579,994,943,382,360,886,849,143,268,832,811,798,341,175,
904,387,169,945,868,381,592,797,547,042,690,872,418,419,629,631,025,992,613,
778,340,783,920,803,699,481,845,712,449,810,940,666,123,413,492,127,886,912,
904,063,687,044,626,743,506,229,524,908,420,021,201,929,926,838,225,571,644,
372,371,679,186,334,865,034,466,659,968,001,962,993,127,961,064,347,197,846,
556,408,617,878,979,801,405,772,939,072,771,545,099,320,751,928,864,124,039,
680,797,142,788,945,614,538,066,780,689,787,574,627,185,226,592,122,929,736,
824,244,158,322,412,050,331,769,847,675,604,610,610,531,719,578,389,398,145,
351,765,650,348,409,600,676,919,282,634,773,461,067,691,636,621,494,063,082,
586,836,797,853,213,515,396,000,790,539,735,963,180,204,062,007,659,987,502,
447,356,381,927,390,166,447,889,183,970,636,889,885,761,381,964,395,355,755,
157,410,432,615,781,395,268,905,363,881,749,357,220,785,036,138,198,422,787,
885,069,524,412,328,940,984,114,197,485,604,233,734,730,298,767,711,906,671,
618,723,577,318,862,796,943,708,396,642,738,711,204,936,884,677,610,617,944,
044,621,331,848,177,854,966,578,073,345,175,072,751,700,774,241,798,652,403,
130,110,810,340,394,590,925,753,341,087,528,914,307,641,243,956,797,192,351,
922,267,486,576,881,238,048,100,062,120,005,876,441,956,751,398,675,203,403,
231,392,166,156,359,750,744,218,445,121,915,242,332,751,967,218,394,231,139,
766,798,762,768,251,577,252,541,641,008,728,911,381,617,741,547,651,224,713,
027,438,394,743,750,336,672,901,000,633,493,899,189,850,855,328,405,395,303,
435,542,762,938,608,449,287,067,812,456,693,714,465,770,405,676,067,785,758,
974,282,832,391,631,936,129,793,676,664,486,713,852,549,593,075,393,072,162,
596,327,130,188,420,287,639,876,153,174,070,113,633,543,098,406,689,445,229,
428,276,394,230,801,893,248,813,622,703,648,752,227,818,498,675,583,232,982,
211,380,611,029,171,674,182,095,836,821,151,912,361,696,710,379,813,434,635,
918,615,936,622,527,268,916,115,776,385,501,093,057,871,711,641,700,977,854,
852,910,434,805,255,493,856,056,103,003,391,110,505,043,526,246,439,331,691,
126,998,291,126,977,611,344,962,587,505,378,399,454,673,927,315,454,515,864,
134,110,022,734,235,732,085,197,020,961,780,931,769,503,246,388,241,947,244,
674,694,588,044,454,730,495,145,222,526,420,173,198,288,975,431,235,990,715,
820,880,647,936,536,715,690,350,200,454,476,991,354,385,359,169,100,007,685,
161,423,157,559,023,504,261,492,355,021,562,941,525,858,235,991,913,545,979,
948,824,114,592,746,663,096,801,538,508,650,480,899,170,173,500,726,942,191,
975,931,009,107,343,874,878,436,623,408,273,159,670,802,005,199,875,760,020,
896,121,982,252,055,389,013,115,481,601,711,243,353,785,702,631,894,852,227,
009,002,583,670,976,669,188,904,911,127,324,159,150,164,948,531,145,678,946,
126,287,835,593,182,677,691,560,121,532,536,191,350,886,042,834,218,366,163,
807,746,875,326,649,979,171,484,233,289,032,321,770,668,980,291,789,629,493,
019,911,507,993,495,353,583,336,806,223,273,107,642,200,440,281,112,386,179,
570,265,818,670,611,721,294,537,985,077,596,696,188,031,132,283,459,745,955,
002,768,513,921,653,423,662,000,520,082,390,694,072,532,048,398,884,567,396,
776,400,160,354,829,587,051,842,261,214,849,491,958,771,324,671,289,612,615,
699,560,577,986,737,366,508,848,731,804,774,427,693,323,280,382,453,954,773,
867,365,497,893,437,457,800,366,891,460,116,522,842,072,250,442,100,285,189,
192,037,810,753,022,015,876,974,126,602,028,851,711,130,386,513,554,636,506,
308,075,719,120,092,517,785,351,453,088,755,324,557,831,406,795,563,840,604,
466,128,510,008,703,801,336,452,784,463,954,556,057,310,889,706,274,861,394,
628,778,847,596,283,397,597,539,938,643,094,778,888,219,174,242,001,076,039,
560,103,434,442,823,657,674,374,083,404,786,712,714,507,819,631,637,576,405,
072,350,392,670,320,781,873,516,476,197,238,105,698,570,011,591,660,897,686,
502,501,616,199,129,640,451,949,562,167,778,249,351,998,358,075,010,818,370,
614,765,173,602,589,029,414,696,268,715,861,806,809,611,032,495,412,918,351,
163,144,678,325,644,471,500,005,900,719,799,236,203,495,786,032,747,561,141,
438,156,848,067,457,673,058,637,675,827,148,872,886,020,801,561,014,761,524,
242,360,843,459,041,508,540,152,671,508,252,876,552,033,758,868,765,165,381,
759,152,218,908,718,989,116,982,590,920,756,554,549,223,912,247,327,213,788,
168,037,503,543,795,227,270,342,598,133,037,833,486,193,088,084,265,186,929,
036,112,954,885,964,008,975,260,333,157,971,876,529,915,334,568,172,042,756,
707,061,477,588,226,468,858,041,714,703,198,622,101,666,869,860,292,312,618,
667,239,749,990,705,330,115,038,777,598,194,327,826,187,124,523,619,907,849,
164,048,943,270,251,764,193,620,493,281,380,022,784,807,218,334,999,934,686,
677,942,034,701,677,652,096,979,415,939,169,047,923,706,933,807,777,455,477,
925,016,334,838,807,475,970,634,741,612,604,433,388,720,276,340,865,687,837,
983,890,716,619,002,204,881,568,388,056,374,547,052,134,993,152,828,860,010,
645,401,101,523,201,056,056,142,408,616,530,453,328,954,847,846,879,826,780,
259,084,738,853,207,788,141,061,353,669,405,862,013,055,696,689,479,368,605,
727,399,845,645,477,667,968,241,379,058,324,303,246,059,116,773,700,543,152,
458,290,440,831,335,049,308,132,440,702,772,979,725,145,719,543,670,646,664,
252,289,283,786,909,287,932,506,196,940,659,140,374,926,227,131,597,657,564,
558,808,649,866,624,479,621,686,676,780,698,963,524,669,544,796,266,289,186,
399,822,921,445,725,948,915,715,445,480,982,151,859,880,447,358,803,629,338,
866,391,840,629,822,380,393,544,489,637,391,280,274,883,294,739,627,010,437,
966,844,794,273,635,627,399,695,449,706,740,762,766,254,751,331,693,413,721,
598,897,906,781,461,397,249,436,498,377,417,861,573,378,362,091,818,471,278,
728,276,879,180,553,547,638,780,503,956,076,112,382,321,098,080,944,757,375,
062,162,236,549,525,041,446,732,348,085,014,407,082,436,689,347,312,915,712,
861,201,348,155,287,344,664,020,925,598,611,722,331,237,925,681,781,103,213,
340,681,963,019,782,542,386,928,126,912,212,552,711,852,188,261,054,981,859,
353,730,697,197,525,426,239,683,931,072,916,559,584,655,259,626,808,244,841,
540,269,253,432,650,725,288,043,426,063,110,463,774,433,036,530,601,634,047,
261,573,745,570,891,803,440,700,282,134,717,323,628,907,399,331,975,391,602,
073,443,863,994,890,215,754,776,330,214,566,177,658,217,796,991,869,705,351,
955,434,401,455,168,772,070,926,872,920,903,547,483,359,935,467,957,322,597,
917,878,748,687,134,017,828,299,578,791,919,908,035,666,953,802,772,840,136,
077,971,695,652,530,652,142,697,458,716,452,910,998,748,817,640,469,298,213,
072,828,823,923,722,893,178,119,045,730,879,660,820,342,405,855,628,462,796,
247,241,664,266,572,472,457,341,027,099,421,963,421,748,001,175,267,818,494,
293,017,838,613,863,983,379,960,735,718,310,793,675,516,590,450,398,718,475,
141,267,851,567,999,566,371,378,710,698,817,322,375,030,412,709,018,673,974,
840,282,761,764,314,617,580,116,381,096,707,991,841,322,515,970,791,024,492,
554,258,478,403,639,248,547,019,076,568,438,664,225,490,807,276,644,454,331,
119,809,293,137,887,267,109,982,304,402,136,379,879,829,696,912,280,873,450,
933,096,879,378,103,516,117,132,148,506,238,443,189,278,989,828,821,056,082,
090,609,199,615,594,011,727,651,003,115,315,024,331,413,248,422,236,519,105,
133,128,385,822,791,845,871,032,604,645,280,742,558,416,826,296,500,607,351,
861,173,199,304,606,832,422,178,520,072,438,564,916,939,919,893,652,503,964,
660,704,431,874,288,772,348,067,942,908,244,425,816,539,847,307,783,128,423,
622,089,182,673,506,558,852,983,032,270,075,475,395,563,600,928,659,771,361,
550,616,314,249,095,333,404,898,546,151,458,581,800,664,785,679,571,226,498,
009,888,271,170,382,796,657,363,900,818,431,410,526,387,648,737,476,004,176,
294,918,442,015,289,850,679,144,776,886,401,977,019,556,326,915,560,160,131,
859,526,377,175,491,523,956,939,739,610,373,084,953,142,107,098,395,478,287,
357,046,707,353,285,383,238,067,716,835,780,779,807,549,206,084,520,428,198,
665,759,475,358,870,599,720,628,472,455,971,436,117,972,558,617,171,498,843,
080,567,240,836,550,861,225,922,910,252,674,540,908,629,261,247,106,128,786,
659,844,491,037,983,172,746,464,086,961,624,838,595,202,018,741,158,559,245,
669,923,112,365,800,470,048,028,133,970,751,714,431,352,855,914,114,131,226,
323,337,926,223,012,643,853,629,617,497,461,200,281,275,403,397,425,495,604,
694,011,411,506,467,935,842,327,353,242,939,881,371,126,558,985,184,532,592,
792,311,022,130,409,738,867,306,975,172,787,222,126,914,560,199,297,736,880,
543,776,512,346,595,826,933,372,375,364,966,251,661,926,813,784,041,355,230,
018,074,284,159,091,980,782,437,162,164,765,063,434,818,280,465,849,493,203,
800,166,586,280,596,067,302,495,175,807,399,259,691,467,259,612,955,765,391,
586,474,214,225,084,987,884,452,761,241,298,976,683,330,699,194,090,121,450,
063,593,046,240,840,065,159,393,309,464,299,299,509,231,543,195,886,501,433,
710,531,456,954,774,229,850,055,022,615,769,115,604,390,095,096,513,737,611,
627,746,105,754,997,099,903,939,435,155,342,483,488,040,428,048,611,375,737,
317,456,952,105,067,174,140,149,650,805,868,977,371,891,053,352,791,791,327,
557,214,866,490,004,859,833,703,712,980,620,267,299,217,546,654,197,517,805,
260,551,729,835,358,021,803,500,410,240,478,636,042,169,614,691,896,964,469,
043,683,005,718,788,454,175,337,403,306,543,334,338,563,904,424,866,502,390,
580,862,886,912,915,797,542,407,459,128,525,120,162,078,656,652,221,962,760,
421,060,830,528,270,177,848,606,346,139,575,385,026,534,450,556,686,893,198,
203,953,880,771,339,905,215,567,902,998,764,109,118,227,024,729,290,638,328,
795,444,092,121,268,666,498,529,478,629,004,848,024,687,511,445,161,255,577,
251,146,665,709,889,940,091,407,662,886,035,756,352,459,100,781,654,129,646,
409,161,393,669,752,823,918,729,514,330,537,859,635,028,531,151,551,047,459,
668,990,613,646,217,570,831,663,033,691,440,590,372,563,008,984,264,839,694,
630,073,481,071,072,415,498,024,733,686,971,703,360,646,018,600,673,207,239,
778,131,012,946,684,302,601,118,453,484,204,029,587,803,674,682,090,446,532,
280,060,937,112,816,651,854,058,562,203,752,192,830,046,515,700,503,799,423,
565,053,623,177,760,778,728,609,602,263,543,843,347,845,268,733,517,294,805,
410,342,115,492,988,401,637,565,136,879,349,574,611,478,405,892,907,480,369,
692,298,182,223,180,167,915,706,736,668,900,138,123,830,926,352,823,507,530,
391,790,001,983,653,863,090,657,222,194,710,313,946,749,549,885,208,897,984,
607,882,500,518,895,677,253,516,232,672,337,393,790,377,081,135,468,675,314,
704,091,848,113,364,417,702,330,793,989,444,787,874,828,453,175,797,073,372,
592,657,929,570,407,880,433,953,702,287,404,484,111,431,592,282,475,616,112,
674,759,743,375,206,745,223,599,996,013,079,928,124,167,728,710,619,771,147,
712,705,899,652,748,189,267,998,329,091,259,767,738,201,113,939,519,938,463,
316,464,421,188,447,733,179,815,686,656,092,605,005,630,687,933,033,592,569,
474,004,161,230,828,457,954,096,294,831,823,330,662,803,920,551,323,460,659,
343,387,235,823,557,140,666,147,206,634,223,451,232,321,965,052,697,112,100,
819,924,380,037,336,519,873,075,964,759,275,494,394,272,346,209,473,683,659,
638,186,248,623,844,131,669,865,414,490,482,311,924,113,081,345,005,506,713,
698,302,617,538,758,796,103,801,782,463,372,136,852,444,155,753,425,992,366,
085,338,625,226,209,577,721,706,906,529,568,514,642,776,308,306,586,517,007,
969,687,683,513,297,168,284,244,339,036,534,067,623,448,167,535,505,274,818,
890,129,000,361,167,761,663,366,987,935,551,492,679,453,277,604,027,554,429,
210,060,969,370,506,785,335,181,326,213,705,866,226,374,428,651,233,380,690,
200,072,476,159,799,013,707,491,770,299,116,923,465,082,955,799,583,347,618,
410,817,938,333,942,657,452,363,615,025,519,668,386,263,959,918,821,228,676,
746,773,439,857,889,579,988,284,791,806,504,438,529,214,164,108,384,118,431,
642,401,417,299,347,106,466,644,439,810,800,267,114,400,523,068,616,698,910,
274,801,859,675,943,590,495,225,836,298,992,583,900,426,333,648,352,076,297,
955,647,496,396,412,754,665,083,693,391,930,458,658,796,116,449,029,432,623,
095,404,296,627,809,157,302,976,531,760,097,221,535,280,101,183,535,635,506,
186,424,189,848,153,598,406,781,054,723,722,407,567,236,089,224,892,899,843,
846,671,860,618,967,366,182,470,533,406,048,881,186,842,602,460,047,205,471,
180,634,021,575,990,716,431,578,735,423,031,967,905,468,020,866,669,031,891,
417,465,136,416,141,993,934,764,248,682,740,477,851,029,693,079,168,766,455,
641,574,049,907,059,680,605,377,047,144,383,501,443,451,822,312,550,046,551,
306,037,409,160,774,198,967,330,955,909,108,572,632,944,650,958,113,195,217,
223,957,243,962,356,003,321,448,213,813,850,266,503,761,622,051,073,453,683,
739,765,265,784,260,289,135,481,811,469,328,290,977,651,580,949,353,595,999,
463,394,187,529,354,865,931,111,773,522,811,314,944,227,016,576,714,701,617,
951,829,881,446,561,393,047,006,471,242,218,655,603,682,238,055,812,344,519,
432,464,603,308,010,242,981,395,158,947,071,933,342,936,830,456,945,760,725,
785,626,787,673,976,817,954,094,899,805,341,066,478,106,573,992,223,934,934,
437,906,641,612,703,929,098,848,996,339,039,289,110,508,784,525,101,347,104,
117,169,576,230,090,914,566,966,494,696,240,008,628,539,546,414,004,074,586,
816,356,741,011,750,555,499,172,491,610,090,327,487,515,377,072,988,564,941,
874,935,249,815,881,111,789,870,384,457,091,137,162,166,911,755,867,241,856,
931,166,867,367,986,753,739,812,045,782,427,337,262,883,860,922,349,980,826,
696,464,786,769,962,283,219,953,089,224,604,560,932,486,194,326,270,519,524,
731,169,102,395,556,606,060,613,940,359,556,175,353,242,823,424,462,577,011,
120,436,088,806,439,301,354,147,839,652,095,791,875,529,436,527,435,038,199,
147,304,649,628,188,811,928,816,579,260,587,703,849,956,215,306,851,235,086,
054,685,110,469,894,226,838,941,842,598,786,147,417,766,614,369,905,627,489,
404,926,299,229,329,921,834,861,310,787,939,783,461,082,060,218,128,968,055,
080,309,195,028,310,384,219,807,205,249,300,011,805,904,730,532,317,751,189,
937,421,793,808,886,029,924,420,466,786,139,148,004,312,210,470,658,252,177,
061,860,352,130,603,241,616,008,807,880,851,813,874,334,248,674,285,474,960,
111,522,557,705,215,254,738,219,907,063,896,075,538,293,309,092,347,803,921,
162,565,518,618,905,019,010,970,352,300,119,501,763,302,479,454,154,411,292,
866,637,987,911,736,285,932,861,798,416,205,738,319,912,444,372,344,995,567,
338,229,181,319,106,921,734,578,066,551,105,861,695,387,520,902,229,625,149,
191,838,309,690,171,828,726,838,005,852,923,806,872,222,478,719,668,933,013,
360,696,894,156,801,441,023,747,771,921,307,655,041,903,545,035,211,763,806,
779,732,397,921,145,702,609,283,767,244,316,807,851,389,658,843,080,558,174,
652,641,829,477,882,886,624,666,799,248,752,417,533,294,343,534,214,198,859,
840,084,868,479,651,317,643,080,606,382,083,884,433,437,530,376,035,339,598,
806,931,961,853,556,017,720,181,519,732,090,033,747,474,680,648,936,144,038,
985,239,602,966,775,530,855,534,475,327,269,211,082,760,414,747,497,189,570,
167,028,966,717,416,711,486,056,319,702,163,263,553,614,540,940,826,944,164,
547,439,852,881,523,374,274,376,943,145,061,538,047,166,712,933,731,256,605,
041,160,102,279,443,108,806,865,945,881,364,697,242,663,961,113,622,252,405,
929,804,606,097,277,044,450,722,159,116,800,086,003,944,852,667,387,829,495,
480,289,619,055,908,421,598,011,259,497,344,495,386,556,099,030,931,040,931,
779,129,657,400,708,679,471,804,197,200,061,297,520,339,098,189,250,454,860,
140,162,215,540,494,483,136,634,167,963,540,363,980,520,392,330,980,681,631,
209,510,688,560,412,154,084,948,747,192,699,040,981,962,116,296,499,335,192,
663,205,684,687,356,314,607,432,914,707,341,446,119,289,304,461,161,296,175,
601,637,958,074,709,421,926,653,103,684,347,291,109,930,993,395,337,767,363,
445,827,598,949,467,236,564,261,840,775,219,244,494,179,170,367,938,279,598,
532,001,083,944,529,435,442,259,626,299,043,239,253,475,239,854,064,682,697,
514,684,554,947,335,077,025,579,719,054,976,031,909,799,461,118,717,166,870,
032,836,434,634,273,188,325,636,351,887,615,278,666,804,542,466,133,138,975,
792,148,457,445,680,863,282,221,934,810,682,005,878,691,591,179,508,517,342,
541,964,734,487,289,923,785,022,034,043,405,421,974,306,761,382,568,193,902,
509,181,395,774,096,047,333,737,725,041,818,524,047,109,531,202,006,412,116,
874,351,874,564,834,595,816,183,983,374,250,377,690,612,006,122,924,783,886,
573,556,689,161,426,088,638,538,801,771,632,971,342,315,964,910,955,386,957,
263,104,327,666,228,344,196,045,112,637,005,228,385,706,020,683,231,482,940,
850,081,389,442,632,478,024,316,300,782,390,142,145,306,699,455,197,648,625,
286,078,499,398,194,709,884,968,367,731,760,206,924,291,663,885,599,601,386,
531,879,074,446,894,120,544,029,295,255,832,621,458,053,697,471,694,187,346,
497,043,988,653,386,790,438,288,760,879,707,634,125,300,088,413,655,775,305,
433,674,304,010,711,312,651,216,259,067,849,146,125,756,581,024,534,042,573,
607,381,508,072,793,139,215,737,254,198,111,375,431,939,387,875,403,702,228,
876,620,294,410,324,519,363,093,369,027,216,681,473,901,804,441,620,370,023,
459,022,418,866,442,677,520,061,375,582,001,083,552,779,125,724,117,334,904,
724,343,394,185,014,225,808,731,510,621,449,026,453,325,105,028,645,395,366,
821,380,691,920,291,636,395,951,950,128,588,748,901,276,778,187,149,968,552,
669,026,833,363,145,664,919,888,446,491,695,294,760,644,958,429,793,554,873,
341,065,499,029,234,722,008,446,739,604,364,849,687,967,229,628,950,550,574,
758,503,021,426,027,897,654,972,975,338,798,841,771,675,765,314,228,731,402,
477,869,898,728,534,044,949,073,682,712,783,995,378,627,568,036,906,100,447,
965,954,095,939,407,455,998,260,854,840,668,571,668,582,337,971,928,184,311,
519,959,041,641,674,113,638,421,076,597,201,567,683,830,760,220,618,712,001,
451,553,295,483,169,105,287,549,444,045,867,429,379,612,247,159,739,093,530,
518,896,887,364,513,660,664,225,860,887,398,547,823,230,533,861,271,665,601,
477,298,396,032,258,788,042,092,863,563,099,785,593,588,534,718,657,938,747,
389,179,087,610,571,739,724,276,484,898,697,789,476,966,050,275,526,369,654,
363,069,478,762,062,723,402,082,587,836,615,175,878,352,240,358,052,755,229,
622,532,767,520,839,153,096,466,882,671,983,817,086,073,497,194,813,232,635,
896,337,312,085,270,391,067,791,091,847,680,639,060,121,606,089,862,660,776,
659,153,012,844,595,342,228,818,820,651,454,088,852,884,319,145,315,891,605,
023,150,262,670,992,243,877,228,453,923,005,788,148,546,722,299,899,610,598,
691,235,642,114,199,501,230,499,176,638,888,769,921,228,174,235,786,890,471,
657,158,043,106,357,331,947,432,323,544,269,959,929,445,228,319,168,953,863,
531,063,428,834,955,533,934,102,862,249,858,894,909,314,578,867,619,632,207,
665,982,852,207,220,366,210,944,972,376,640,650,003,201,948,211,296,703,428,
612,962,500,174,856,021,713,149,816,483,321,611,143,814,359,225,007,287,778,
613,607,886,643,859,205,400,545,866,844,443,285,430,196,600,583,968,185,995,
611,535,662,052,264,041,416,542,975,163,857,618,424,072,568,050,717,816,557,
034,129,281,992,177,623,874,037,137,971,970,478,993,447,997,216,947,216,514,
985,917,805,655,028,419,290,108,187,948,714,779,797,177,813,756,514,907,632,
854,915,593,838,950,341,092,356,671,986,299,454,519,901,742,437,699,812,074,
853,502,669,440,518,758,440,324,360,019,009,361,793,837,941,351,819,149,160,
630,222,908,827,795,730,256,742,799,299,687,528,032,862,461,915,993,327,431,
062,335,695,019,782,143,174,345,098,696,102,619,947,772,716,927,906,078,277,
872,825,904,056,420,480,992,144,952,816,517,769,856,916,755,047,280,557,514,
915,868,590,821,144,032,842,995,574,122,216,004,687,858,488,934,680,508,599,
457,396,447,064,198,364,734,322,882,829,180,125,257,394,916,959,817,883,448,
658,416,590,398,293,121,737,031,969,566,245,693,340,269,459,604,771,834,080,
171,484,436,562,008,113,009,397,949,673,336,000,794,222,062,087,498,237,641,
264,168,145,353,302,751,878,171,725,798,617,889,157,617,728,109,795,931,035,
951,719,161,871,698,108,653,723,639,571,228,337,524,199,337,437,033,891,987,
354,521,173,004,695,662,310,789,472,630,709,161,866,454,837,242,803,527,307,
271,482,704,382,126,339,189,034,634,688,527,988,698,146,826,613,746,539,128,
684,982,107,384,999,754,143,853,926,227,081,541,275,101,866,784,873,629,516,
229,024,403,436,680,805,662,656,513,857,653,004,259,242,463,503,716,388,188,
084,547,227,413,295,408,630,258,507,127,050,542,309,201,653,710,824,788,301,
486,201,447,924,841,429,860,057,031,582,987,394,829,999,118,784,427,262,156,
249,574,309,957,754,515,349,352,896,896,835,396,761,752,895,711,003,192,196,
942,009,383,301,545,846,948,001,208,595,377,844,967,127,654,853,464,048,034,
806,716,711,436,172,133,860,650,424,870,075,917,684,823,563,932,801,837,331,
179,673,142,924,410,632,229,869,813,499,241,573,942,436,343,011,416,408,213,
685,640,969,771,008,354,014,369,099,255,279,506,397,472,828,431,314,928,305,
644,832,157,631,158,850,132,793,017,104,687,048,345,685,644,165,921,104,670,
387,448,016,306,919,284,386,029,702,520,278,807,426,885,508,445,911,391,076,
214,801,686,697,303,182,499,873,167,440,121,027,388,052,020,524,950,227,025,
344,320,285,918,573,688,737,737,657,652,555,805,822,478,338,914,562,403,886,
349,970,383,383,550,942,531,748,240,803,212,515,513,345,175,284,379,338,208,
997,651,740,013,381,013,074,167,060,233,772,600,435,246,818,145,804,897,456,
809,347,408,475,063,940,463,316,155,398,161,187,907,451,310,400,304,881,428,
877,460,302,487,423,939,574,320,597,897,458,993,453,698,502,415,540,524,356,
360,009,502,384,320,992,221,800,514,962,876,865,967,846,410,423,889,563,123,
036,287,941,519,228,641,155,878,159,547,187,500,460,760,250,214,941,213,535,
545,299,726,342,400,332,572,490,130,856,771,883,408,190,510,959,839,333,342,
041,971,434,027,471,806,456,875,425,574,256,919,009,922,724,635,614,910,518,
527,142,024,752,687,191,438,198,816,263,677,191,744,932,235,256,273,454,069,
669,441,957,159,419,068,979,668,777,932,546,481,624,746,375,180,675,743,138,
960,337,510,923,589,009,643,565,540,656,018,122,073,704,248,041,825,575,381,
874,519,215,734,162,047,081,608,046,757,360,400,448,187,360,554,267,914,379,
229,502,227,346,572,346,675,980,447,704,452,312,951,670,765,010,400,690,907,
202,742,628,686,794,536,542,332,642,932,539,782,125,602,391,427,405,201,740,
198,913,461,517,026,972,324,945,755,736,027,262,923,631,683,941,704,123,556,
988,100,740,497,985,294,742,283,589,201,622,848,599,729,468,844,633,521,998,
553,157,752,737,108,325,052,580,401,872,053,583,155,899,855,514,326,628,340,
702,221,182,712,371,283,604,375,300,253,535,194,144,642,825,003,441,824,109,
889,313,341,788,837,139,500,309,528,454,081,078,912,874,563,820,522,238,254,
212,562,952,442,805,978,334,084,285,125,991,850,048,575,885,880,287,480,962,
573,792,535,359,670,638,568,479,356,282,620,944,608,461,751,144,571,737,707,
759,489,885,471,127,958,750,900,306,560,378,012,335,306,313,160,234,679,875,
242,586,534,084,700,186,812,289,272,437,971,924,833,776,119,586,755,826,388,
275,058,412,101,000,742,648,836,921,671,592,172,860,989,392,855,698,275,216,
584,844,635,094,643,271,510,939,141,600,873,574,470,655,779,111,186,116,360,
994,523,183,572,504,796,000,232,013,973,299,687,308,849,612,948,076,223,687,
121,005,402,287,449,129,362,074,475,116,465,524,272,753,895,125,171,523,953,
768,307,653,451,966,022,671,118,352,054,256,250,444,384,935,621,184,272,901,
276,207,507,776,787,982,201,740,562,847,696,841,828,892,946,890,365,197,241,
956,552,442,149,888,840,469,152,320,954,844,714,298,263,454,602,593,823,083,
455,176,259,386,945,668,656,741,843,693,566,818,006,176,982,398,928,997,590,
561,455,073,739,139,778,273,727,120,619,076,317,226,715,792,901,735,455,003,
214,436,295,264,281,469,891,115,011,760,531,108,288,681,655,387,991,943,691,
863,760,907,679,305,317,865,672,468,229,146,316,250,003,699,854,864,830,952,
584,568,388,259,572,409,637,231,264,983,951,059,360,169,395,028,737,229,258,
041,509,086,697,659,226,488,210,243,287,614,251,495,143,747,943,404,531,817,
320,005,065,546,374,746,809,841,772,224,862,883,645,255,588,938,635,653,529,
959,023,169,764,054,319,124,980,997,757,323,166,575,239,306,665,149,587,846,
840,763,425,336,121,181,839,277,398,080,623,271,497,163,983,034,664,257,561,
026,885,690,177,870,684,415,618,980,320,956,474,000,648,138,091,957,342,649,
282,942,679,666,507,935,312,156,103,890,174,231,040,119,998,211,994,986,417,
260,168,601,809,441,496,007,051,449,899,677,754,807,647,291,143,473,004,614,
339,735,243,920,575,819,313,188,747,329,730,899,831,544,027,931,467,324,184,
515,927,209,938,913,887,916,915,269,342,707,551,357,473,395,106,491,130,989,
126,391,924,445,737,610,748,634,060,980,134,912,725,191,786,681,339,724,255,
365,905,460,095,515,669,050,468,648,750,926,333,048,591,995,593,183,451,817,
767,560,967,685,821,934,899,221,967,210,023,582,335,699,667,315,112,611,437,
011,048,844,376,229,766,712,148,271,887,030,207,761,626,798,989,699,637,142,
121,042,173,828,849,212,869,891,753,403,729,231,061,819,092,103,880,971,503,
089,191,788,544,647,959,707,948,972,842,375,635,409,171,700,667,339,203,970,
768,980,843,017,756,880,681,081,524,841,370,971,942,121,060,910,384,754,087,
237,464,796,648,848,157,129,740,406,561,626,051,838,526,909,987,442,498,433,
963,670,990,821,909,319,719,845,245,883,296,231,936,614,380,856,655,239,550,
453,656,741,704,785,881,146,652,384,581,064,093,565,379,684,501,203,437,926,
621,421,695,931,292,540,935,414,764,647,043,209,801,629,655,493,242,485,003,
677,607,728,951,416,502,031,097,457,945,380,298,696,288,111,430,667,104,175,
217,635,543,770,496,505,288,598,760,233,929,640,574,342,485,329,311,765,838,
626,037,140,935,690,766,986,274,961,910,760,139,174,531,074,711,690,811,283,
580,711,283,912,455,749,922,975,424,465,970,878,952,187,727,617,947,338,767,
789,654,945,147,577,759,309,919,086,844,011,476,941,561,444,353,731,816,098,
372,769,254,250,693,219,954,513,145,994,544,007,891,123,241,761,663,090,267,
161,526,402,203,844,101,505,484,637,720,589,567,507,258,413,929,546,247,851,
202,987,727,510,108,353,194,372,950,613,836,885,450,131,959,888,868,177,429,
004,218,033,344,446,347,897,901,567,872,233,557,432,611,460,890,384,990,192,
260,052,588,155,652,320,183,645,828,063,164,344,126,567,215,588,090,386,912,
944,057,316,182,431,913,764,918,254,300,691,243,500,114,676,603,095,264,787,
112,254,364,103,349,589,258,047,564,472,448,229,082,957,730,201,173,025,017,
693,721,160,705,224,835,353,878,167,593,231,379,834,615,206,242,341,670,140,
065,398,603,487,642,282,734,751,173,710,198,321,488,880,585,359,660,064,356,
139,276,726,114,959,988,847,269,764,714,306,572,081,955,187,834,092,895,080,
750,072,863,875,095,560,796,718,499,297,721,368,619,988,009,127,161,088,370,
439,324,111,696,631,026,322,892,200,258,653,987,262,931,784,839,406,066,629,
344,379,026,311,121,673,775,980,789,233,287,319,301,923,997,831,628,776,523,
275,689,818,952,764,063,823,537,497,380,549,919,567,684,219,864,919,650,722,
302,517,651,804,602,282,270,869,629,046,674,769,137,008,789,345,563,118,336,
351,057,905,788,384,951,230,890,972,475,725,128,507,387,115,960,770,536,445,
434,596,077,098,957,293,646,144,654,672,935,179,118,106,579,735,416,684,470,
776,643,448,164,396,741,063,096,507,066,031,852,665,029,517,229,257,673,119,
734,380,944,392,548,553,768,394,985,448,409,170,391,405,572,616,954,960,339,
231,557,779,132,334,409,945,240,545,843,694,713,560,670,602,590,829,549,941,
672,931,975,758,478,898,410,302,612,962,721,423,987,243,263,155,124,391,071,
934,499,611,175,673,457,672,899,316,594,112,679,924,519,652,433,133,218,422,
048,001,475,563,381,575,011,317,088,148,924,268,255,850,177,611,196,904,582,
308,566,170,023,184,050,658,159,597,875,839,525,960,739,884,423,933,795,309,
493,256,556,289,310,455,666,183,661,254,219,909,880,502,406,499,079,106,920,
024,687,961,964,108,616,542,424,922,083,315,260,248,000,782,620,131,571,918,
509,800,731,612,863,037,169,888,698,354,301,724,617,345,972,125,767,536,983,
070,793,078,185,439,358,588,952,588,618,219,459,304,792,084,231,688,980,260,
953,405,738,222,791,443,979,100,333,553,766,870,252,335,212,765,358,192,077,
643,819,289,529,823,001,185,327,233,771,649,194,955,131,628,638,424,715,180,
151,392,674,275,487,089,626,953,596,522,031,368,763,181,028,545,101,567,342,
253,663,378,599,561,308,724,228,906,054,804,276,764,200,842,614,754,276,455,
890,211,812,599,459,150,016,060,903,127,458,299,154,426,459,745,090,081,278,
706,150,968,249,867,605,186,512,671,635,123,612,401,111,428,013,086,162,862,
894,646,701,441,133,591,911,575,898,478,656,884,534,449,873,441,120,308,470,
144,779,347,945,544,032,878,460,788,193,771,782,579,915,447,293,109,947,421,
007,071,514,498,912,163,887,089,395,457,045,012,094,434,564,056,025,143,486,
224,983,533,834,301,583,743,370,623,234,448,385,884,822,011,090,944,989,581,
216,959,688,228,387,543,413,664,311,101,392,159,570,784,554,901,331,226,093,
875,173,191,802,092,948,707,457,034,844,046,013,385,363,325,930,549,333,310,
920,286,175,655,821,380,147,956,053,854,249,148,140,577,840,101,661,716,148,
902,776,345,221,704,814,407,141,502,960,939,696,980,224,982,155,882,263,706,
138,913,692,745,001,168,891,007,884,190,683,116,104,891,976,578,649,333,349,
482,098,299,376,881,161,978,767,702,644,186,963,862,454,842,921,535,576,259,
633,903,780,064,193,936,929,445,322,966,574,016,005,182,141,358,262,278,256,
030,272,275,375,518,589,852,869,719,235,989,279,059,388,287,594,824,789,650,
430,457,563,027,485,836,481,328,143,144,944,342,557,083,572,252,694,889,335,
611,017,119,735,635,920,008,051,046,345,975,776,703,311,168,042,329,279,274,
697,752,373,206,145,674,688,316,431,786,611,197,255,367,153,572,928,331,592,
272,903,267,405,179,850,319,869,080,295,311,930,724,571,618,054,756,937,587,
988,218,007,335,672,349,956,934,788,933,840,613,980,836,816,354,562,831,121,
424,781,631,672,985,364,072,605,150,190,416,029,823,925,673,967,655,780,709,
155,099,897,326,685,670,538,770,706,915,929,504,517,426,599,975,112,155,211,
269,709,586,771,207,301,441,881,236,269,175,898,840,143,314,286,190,145,566,
172,017,747,305,895,643,257,531,952,446,710,122,979,923,739,667,024,213,897,
319,908,695,433,699,076,399,256,250,777,441,404,139,997,219,418,072,519,968,
060,285,919,968,682,513,183,684,503,088,727,544,773,248,636,380,808,737,765,
085,802,314,231,838,951,232,108,997,877,237,104,417,078,895,919,842,298,352,
929,615,512,875,339,039,266,709,584,852,470,304,415,109,943,307,326,323,963,
033,084,256,949,624,205,534,483,410,757,251,184,490,877,298,986,795,179,464,
291,559,870,528,812,904,139,676,535,172,924,529,333,333,589,765,037,934,409,
152,228,060,017,730,903,853,577,838,182,487,358,498,325,021,538,952,646,362,
711,029,071,565,488,200,266,364,889,933,731,693,443,070,913,006,579,168,201,
298,914,089,359,275,715,079,602,998,798,297,174,471,000,177,049,958,596,718,
816,870,317,109,618,388,031,396,468,026,519,452,134,289,973,196,822,717,342,
866,005,802,351,663,606,622,967,962,448,277,719,929,167,617,574,234,174,777,
870,279,333,274,205,706,661,577,755,551,798,509,380,150,221,622,124,911,932,
669,018,338,494,460,985,577,331,372,379,806,036,096,801,750,033,027,733,028,
794,223,437,009,246,787,820,569,330,045,152,699,917,306,013,202,644,080,903,
839,184,515,014,950,528,146,490,764,636,106,907,936,626,384,716,813,264,724,
257,763,383,489,620,540,048,871,788,545,177,657,548,447,073,681,272,113,535,
491,241,247,769,375,719,220,219,117,222,095,346,487,468,045,797,594,258,880,
395,680,572,481,625,350,615,896,081,257,762,237,953,030,039,552,172,293,446,
249,247,884,245,079,718,679,030,741,815,972,177,648,507,327,784,926,021,743,
127,634,401,434,236,327,397,472,385,646,360,258,573,977,016,849,050,485,341,
299,136,016,358,030,573,419,654,951,883,353,406,966,257,604,559,153,355,318,
766,010,407,649,697,562,465,781,139,444,743,480,684,128,944,290,817,748,834,
681,819,392,638,803,206,389,232,747,403,292,135,272,218,695,168,713,784,480,
648,772,266,269,125,848,136,969,695,723,478,429,373,646,781,250,613,530,853,
855,654,711,140,020,083,639,981,118,336,980,948,219,695,000,764,032,136,995,
526,825,575,763,463,497,101,005,122,885,691,136,747,193,109,568,413,068,337,
137,840,659,223,512,440,448,870,690,429,633,667,756,884,372,960,238,838,570,
317,170,197,989,877,191,347,753,938,635,183,845,216,222,435,823,488,594,443,
924,605,529,834,350,924,126,065,268,179,951,863,176,504,658,774,206,597,629,
564,170,275,036,866,782,884,692,547,997,429,693,793,395,393,202,085,865,996,
065,236,747,587,456,021,685,715,440,990,710,507,584,386,413,728,987,149,953,
198,321,567,296,712,487,359,224,745,280,480,701,156,113,434,852,327,449,013,
728,715,627,099,934,584,559,065,279,005,483,753,806,185,753,895,223,495,035,
699,274,070,848,037,717,949,528,590,786,898,835,852,609,959,680,907,933,173,
872,888,845,326,290,730,540,971,127,547,885,909,498,972,231,200,182,652,741,
701,579,858,875,879,519,472,381,573,025,957,366,664,479,469,184,267,464,295,
004,894,361,383,101,732,992,352,229,528,095,828,916,117,634,050,587,538,157,
788,282,608,567,612,481,388,223,713,166,521,785,112,370,703,679,371,849,278,
164,909,449,868,228,512,556,706,580,711,975,269,878,751,626,608,521,761,074,
847,741,910,615,637,128,717,563,497,133,970,564,208,006,280,087,000,904,572,
434,443,648,004,118,702,625,878,420,605,449,825,664,899,925,354,666,909,501,
932,667,268,923,819,291,637,923,954,929,301,612,218,234,533,445,731,214,641,
518,657,948,797,828,756,646,196,100,629,741,287,346,057,253,213,604,121,605,
637,127,313,346,381,664,810,762,418,158,993,615,315,698,365,766,549,332,693,
423,979,348,811,420,230,273,448,277,406,019,127,556,150,727,847,439,498,891,
501,618,291,313,929,310,592,489,581,027,241,894,620,130,192,764,650,457,674,
025,902,288,311,803,884,832,941,905,774,295,450,429,210,771,048,823,165,767,
898,237,997,670,329,789,606,531,814,742,514,211,008,593,677,528,332,832,649,
320,191,598,750,082,896,624,380,801,213,812,802,036,170,685,284,505,388,046,
793,532,331,822,804,724,758,881,225,082,946,633,710,731,284,714,840,868,012,
653,069,979,768,198,071,728,480,111,832,372,596,227,972,145,418,797,126,990,
163,941,502,799,008,795,189,874,532,386,421,162,904,123,566,768,379,142,266,
532,202,880,858,346,063,182,989,459,846,137,342,473,862,476,859,325,474,385,
659,290,693,028,754,894,110,218,342,945,827,293,151,076,416,577,443,041,908,
151,539,071,193,334,854,775,086,537,031,316,170,170,202,588,283,153,832,540,
729,659,563,011,510,484,929,005,979,795,586,018,913,474,920,825,619,861,382,
786,840,348,570,824,756,672,006,158,451,400,384,563,846,389,951,441,234,744,
234,814,502,536,872,850,681,066,423,731,217,561,347,395,330,515,880,447,079,
063,840,521,805,118,915,882,161,859,164,442,445,724,796,436,660,181,100,185,
108,610,487,019,187,455,554,235,054,601,607,652,543,464,050,448,796,085,753,
983,097,741,611,886,825,136,645,256,971,648,607,129,825,229,473,039,187,249,
569,763,874,412,640,857,323,543,288,854,377,751,027,712,464,953,011,198,049,
240,075,807,687,654,995,361,414,925,415,317,471,378,417,684,750,775,656,636,
720,292,198,091,922,323,887,760,645,377,873,599,551,486,593,891,828,351,478,
872,127,730,431,175,971,117,799,933,976,690,081,613,914,306,937,147,520,800,
244,120,227,603,559,646,911,472,322,827,554,801,244,383,643,924,558,640,617,
119,356,505,796,423,874,515,012,506,816,040,484,004,050,590,097,340,757,665,
966,633,572,018,202,334,132,761,708,478,691,620,726,236,287,555,989,237,630,
230,832,235,856,339,023,185,921,778,387,029,506,382,185,958,351,530,230,421,
915,497,689,524,758,678,183,081,191,224,307,235,464,440,585,582,051,036,600,
286,801,388,732,891,104,301,001,100,188,941,890,980,131,719,410,327,076,603,
488,824,465,444,225,465,207,146,462,487,915,049,355,347,087,831,239,169,400,
368,741,207,436,550,528,482,306,784,940,777,260,946,538,634,202,265,914,751,
621,617,768,840,891,121,751,396,731,173,593,801,041,252,296,736,435,092,225,
462,907,109,493,360,204,156,085,113,741,875,618,094,537,564,148,515,750,846,
587,734,978,678,913,607,037,389,581,373,948,070,963,506,181,505,269,884,119,
025,642,339,664,480,000,280,702,244,357,437,495,654,275,222,207,656,611,194,
683,302,647,907,731,652,440,465,030,613,780,891,131,798,322,868,448,528,533,
404,893,770,805,407,382,819,154,588,508,136,559,244,069,889,507,464,471,113,
872,408,430,924,872,601,564,577,833,057,477,818,843,279,069,931,898,937,998,
486,943,924,128,891,058,960,214,235,771,070,380,146,727,753,429,469,657,354,
411,320,674,774,855,942,773,075,421,496,631,405,821,857,811,316,861,404,248,
532,975,435,185,728,216,228,624,468,277,558,957,918,493,278,641,428,019,979,
385,372,699,218,341,313,823,555,616,449,997,362,598,466,055,210,742,495,796,
286,508,106,393,467,920,947,684,119,723,609,673,160,626,278,373,709,367,155,
630,193,690,969,688,839,280,439,856,323,325,358,278,776,311,672,149,971,624,
804,288,374,907,336,951,312,759,070,033,086,360,897,858,261,466,383,491,270,
440,583,599,321,705,126,618,531,553,112,292,170,612,833,629,797,697,187,729,
346,008,148,591,900,439,720,599,896,379,249,624,869,548,873,948,851,547,724,
428,122,745,724,266,728,389,015,355,983,472,518,090,620,621,101,095,707,418,
327,187,323,709,120,597,722,098,919,228,037,048,328,709,942,064,901,364,671,
890,994,748,889,484,990,282,513,335,799,005,448,123,577,319,420,094,043,995,
781,049,961,527,205,924,650,970,491,707,359,896,428,251,973,993,469,142,169,
829,701,282,413,388,942,956,730,031,742,061,361,245,744,530,757,438,934,156,
045,707,112,359,972,547,429,987,841,471,858,043,302,661,855,527,754,406,342,
402,296,733,129,657,103,342,755,793,314,760,091,843,603,377,353,915,122,091,
787,911,780,487,592,240,532,809,541,687,757,923,478,634,319,707,960,432,478,
438,357,995,466,178,541,063,840,895,263,541,724,036,260,117,318,595,833,459,
906,127,125,445,507,545,486,362,276,275,099,315,419,124,918,536,029,099,191,
174,010,960,836,226,158,701,410,462,278,667,171,481,977,053,033,084,224,490,
734,002,204,382,079,730,370,172,533,269,303,253,399,368,371,661,848,511,585,
260,420,708,930,455,084,966,123,937,763,143,340,108,734,390,840,950,012,987,
289,523,770,936,751,671,992,326,395,602,047,671,223,219,743,748,359,066,793,
515,945,658,574,756,718,134,055,883,066,598,073,122,168,381,519,270,876,761,
168,392,620,069,931,026,675,965,720,156,567,413,215,503,078,824,961,303,788,
454,280,917,005,617,150,636,363,442,905,086,271,833,497,753,222,643,722,799,
896,605,142,176,237,177,408,824,892,515,269,872,705,708,872,694,767,258,785,
323,110,205,881,315,772,003,418,230,863,347,393,440,118,026,738,592,134,553,
150,461,885,303,025,769,534,892,328,348,934,629,997,554,776,146,787,259,343,
954,744,418,200,374,978,352,071,752,365,818,506,489,874,384,081,719,014,874,
707,076,895,825,711,968,075,489,184,010,600,186,805,562,235,775,293,764,675,
146,448,632,518,866,634,052,000,446,223,464,114,501,693,427,786,522,597,692,
630,620,152,558,226,510,789,141,996,791,395,860,429,743,579,384,500,207,470,
922,639,163,125,525,506,576,017,773,244,396,590,359,158,995,617,527,900,142,
570,434,706,827,018,997,160,679,400,481,079,630,474,541,801,525,113,516,351,
839,725,917,271,639,126,976,183,829,838,996,380,601,522,033,145,907,379,485,
040,149,574,086,303,949,541,529,905,738,999,614,628,120,953,425,938,660,653,
333,700,296,386,623,433,590,700,910,745,203,531,783,767,896,705,595,705,272,
423,018,320,609,931,930,957,602,013,637,488,238,010,974,012,633,681,674,514,
768,818,790,455,670,014,395,891,770,938,647,826,944,069,551,644,987,567,386,
991,112,581,052,253,483,802,190,767,920,587,323,057,787,987,552,418,409,268,
098,037,586,371,308,393,393,712,641,768,365,579,048,028,802,924,697,918,453,
218,236,785,299,870,014,711,529,843,431,133,732,248,404,686,347,237,920,591,
002,132,241,889,902,486,591,737,524,102,986,703,020,948,140,200,401,780,716,
033,227,301,537,909,937,057,767,287,324,235,826,504,933,318,180,502,525,286,
072,687,410,882,398,787,229,602,562,838,939,647,909,153,532,081,592,288,129,
102,452,779,119,982,537,043,896,456,331,530,475,823,819,931,609,824,135,118,
082,488,131,213,126,335,684,630,937,566,078,739,846,808,233,443,421,794,186,
000,867,608,533,024,415,587,294,633,909,730,898,158,882,205,274,898,007,260,
740,566,018,425,055,686,461,384,170,600,516,004,201,929,229,412,468,954,334,
635,488,639,648,945,206,275,709,338,628,583,400,424,265,975,203,565,302,088,
318,269,413,126,744,370,514,334,244,510,050,432,837,035,464,930,546,196,935,
401,144,313,611,034,162,857,754,465,494,771,243,516,540,980,348,695,827,526,
910,036,169,532,343,233,481,036,309,568,326,991,450,121,926,469,146,425,817,
089,870,761,011,547,753,200,102,627,308,615,056,873,704,532,290,368,772,158,
212,773,927,773,535,942,487,232,678,566,273,208,218,829,072,872,682,378,652,
991,763,787,873,733,846,528,255,722,482,593,702,892,678,878,315,689,867,958,
198,034,436,766,768,745,280,279,867,435,506,776,037,311,361,545,363,028,994,
192,762,778,785,854,320,737,758,435,766,057,311,218,808,349,477,233,309,480,
076,345,687,766,492,357,207,252,551,043,319,298,045,554,970,887,529,407,474,
496,714,340,347,929,772,946,664,656,369,406,929,737,431,422,938,878,828,817,
274,152,189,738,209,939,098,165,807,709,963,627,461,796,745,888,644,275,142,
894,521,259,468,744,341,606,492,511,036,721,192,154,770,364,092,122,832,686,
864,391,286,903,991,517,316,834,340,641,950,729,659,516,619,439,141,652,312,
137,561,734,176,977,849,508,965,021,956,509,811,721,669,289,033,355,818,259,
781,601,794,855,545,616,078,385,337,117,289,612,642,624,423,356,886,879,276,
708,135,322,305,790,897,586,867,041,299,942,690,459,757,016,443,740,743,203,
657,693,160,323,350,038,925,232,720,733,232,798,934,607,225,872,014,521,536,
584,049,043,791,913,222,324,354,894,570,036,360,785,664,984,084,197,003,083,
000,947,680,747,174,203,845,302,861,058,279,763,104,658,032,255,823,628,473,
416,437,303,493,377,048,681,400,432,106,628,226,428,772,620,891,191,332,295,
934,888,312,590,902,475,089,128,016,483,167,977,994,388,385,379,040,797,528,
039,868,924,757,170,581,517,036,779,726,382,812,667,073,685,557,825,626,707,
985,956,914,659,894,945,177,162,302,319,218,469,088,071,944,146,713,968,131,
621,387,700,107,540,682,695,704,379,500,657,650,791,260,683,763,472,418,006,
601,283,673,458,318,658,014,755,975,594,332,724,992,531,297,612,924,992,941,
202,206,944,037,879,347,267,036,834,322,411,829,238,441,194,281,569,986,607,
603,574,247,953,550,236,856,676,136,430,080,464,871,844,508,032,032,848,949,
827,400,050,594,305,456,355,715,513,930,411,673,064,750,565,668,650,503,492,
027,604,609,778,895,769,892,129,684,127,598,258,897,932,818,364,817,756,537,
190,905,056,158,791,101,072,762,564,631,250,345,791,458,478,472,461,393,625,
896,056,005,581,712,892,524,947,031,355,386,591,949,606,795,410,369,786,085,
644,231,848,203,175,850,808,112,173,131,569,274,434,509,535,700,142,706,287,
495,008,982,091,237,152,253,052,474,544,302,380,902,096,995,835,342,132,655,
240,644,145,695,928,893,752,856,407,407,245,809,649,438,399,386,862,881,771,
257,170,171,590,946,492,573,923,424,612,309,156,359,045,295,126,431,474,817,
725,040,309,515,743,497,615,590,821,106,537,604,519,459,642,612,080,458,892,
279,409,909,720,556,046,298,580,271,262,466,456,791,928,628,606,311,560,555,
380,659,190,211,065,731,057,279,595,493,372,182,233,152,353,003,492,421,715,
548,549,170,762,072,989,331,919,770,525,787,776,221,420,860,884,664,552,106,
157,650,802,682,642,128,178,065,716,686,641,989,001,971,249,972,538,586,130,
162,738,812,438,875,720,530,294,351,688,335,670,707,473,531,773,927,391,563,
797,863,260,301,865,120,904,862,358,678,702,630,662,017,399,660,368,783,799,
904,541,553,887,900,826,132,421,480,605,598,629,740,422,360,995,444,003,678,
947,978,492,880,949,281,671,341,859,693,607,786,129,384,774,548,887,911,584,
278,479,856,901,277,104,385,477,473,388,152,456,527,326,084,168,367,469,472,
930,797,351,772,605,183,667,913,559,467,063,038,995,065,796,197,200,304,625,
940,629,983,434,233,653,881,316,537,216,134,687,357,890,383,088,326,422,502,
252,750,315,582,739,021,329,016,717,491,239,924,597,356,539,474,127,122,583,
040,179,067,986,337,272,860,373,701,345,669,853,206,287,842,509,665,615,656,
933,607,254,813,449,248,347,092,266,146,700,011,519,855,597,516,697,903,973,
061,929,414,495,553,257,705,473,067,974,017,841,620,677,440,419,594,391,665,
351,665,290,229,380,955,578,796,640,993,830,199,737,606,584,757,259,439,644,
248,618,336,283,024,986,220,605,529,719,135,537,569,731,359,015,948,600,429,
042,101,373,398,961,837,234,132,625,401,556,046,999,710,227,926,628,931,621,
620,827,332,723,099,196,105,634,409,617,526,099,442,584,045,479,661,883,421,
242,941,508,100,561,936,802,566,984,791,961,965,450,280,973,020,080,422,230,
614,402,098,905,019,242,723,895,529,532,130,008,763,476,616,130,542,198,517,
731,882,950,562,358,925,192,439,000,496,341,079,170,590,546,153,814,968,019,
382,990,513,477,821,768,734,477,915,197,356,486,218,169,748,742,976,197,128,
136,203,554,656,428,062,262,417,470,842,082,868,408,927,559,537,783,062,922,
329,307,776,670,300,592,711,871,205,436,570,935,559,754,189,096,835,833,536,
497,175,166,247,690,807,813,876,156,790,806,784,772,324,633,957,620,307,509,
511,593,720,327,932,773,917,147,045,625,387,741,721,131,451,881,081,299,233,
677,489,108,700,552,784,824,893,484,358,428,362,277,102,545,057,603,721,516,
492,742,977,563,376,699,100,891,446,332,795,491,376,871,029,779,089,474,132,
484,240,007,062,740,614,868,277,022,440,933,151,612,956,158,308,851,526,306,
410,391,835,005,691,706,375,394,764,309,385,117,197,878,378,545,123,211,540,
287,645,593,598,949,667,189,912,077,118,140,465,267,116,234,344,667,919,577,
085,389,637,306,528,596,650,138,045,615,492,204,935,071,432,490,804,154,161,
200,589,369,375,295,516,206,728,938,340,119,736,853,201,094,072,682,573,612,
104,747,017,123,118,361,788,387,226,634,523,870,726,663,724,456,331,747,223,
502,385,504,087,388,909,745,535,265,471,252,449,736,720,830,439,051,649,178,
196,515,990,248,959,649,733,897,879,016,668,117,689,366,653,862,059,851,065,
136,708,539,768,436,247,154,152,572,904,842,439,389,535,966,304,226,720,527,
008,445,096,823,279,631,442,979,363,624,015,731,305,714,632,947,897,514,441,
220,367,397,231,608,040,935,015,548,841,316,235,843,723,872,744,160,208,629,
453,127,682,275,276,797,316,447,874,997,283,901,382,414,578,775,048,224,758,
927,352,501,326,365,984,463,705,928,373,378,846,137,296,817,310,366,376,753,
493,689,897,862,730,339,403,746,887,971,014,211,458,033,080,931,725,171,645,
642,533,415,097,299,490,157,451,644,669,702,656,330,428,094,849,171,258,156,
090,722,473,060,035,899,752,122,828,883,305,897,388,413,737,006,917,938,893,
564,458,518,819,202,768,108,195,857,004,318,498,698,926,835,413,265,015,484,
814,325,030,936,675,502,106,470,096,811,637,356,734,980,560,544,310,269,450,
058,371,662,325,393,999,686,663,270,969,972,506,296,342,086,071,526,539,572,
349,403,358,283,772,645,820,775,458,000,697,070,234,845,202,121,346,511,989,
766,757,562,620,147,093,101,027,603,306,548,195,324,521,505,196,066,862,670,
002,664,515,702,617,987,100,320,202,291,639,435,067,307,639,123,527,991,866,
386,187,025,644,187,485,244,494,808,780,923,203,791,570,659,285,791,024,491,
219,965,618,614,031,298,714,685,353,327,649,383,686,100,960,768,389,929,636,
671,047,856,764,285,622,306,370,660,728,152,589,198,327,288,355,819,689,120,
104,937,577,777,194,150,362,804,278,706,186,180,671,036,058,527,201,952,962,
471,165,195,950,736,199,627,309,500,372,455,017,432,375,518,469,556,607,527,
785,076,272,405,890,712,522,242,809,847,396,534,107,281,827,531,737,302,470,
799,668,444,280,415,016,979,387,270,136,902,986,062,745,561,828,018,815,820,
190,405,736,789,288,778,610,948,123,406,389,544,727,387,704,581,461,846,823,
869,900,792,721,356,512,047,068,548,407,323,981,133,898,614,210,284,730,955,
554,083,964,427,606,862,592,878,013,993,231,661,693,459,469,770,863,819,435,
418,267,700,823,432,857,787,189,570,293,827,484,802,472,867,194,117,672,439,
170,965,366,042,560,753,848,678,662,650,808,171,388,011,280,065,895,830,197,
579,887,738,719,766,434,008,188,130,671,365,533,043,261,490,985,955,626,031,
893,045,210,075,397,558,036,763,224,072,672,501,864,314,916,775,120,602,660,
418,174,376,355,961,535,686,584,029,613,027,902,288,765,453,068,300,921,741,
322,793,021,136,377,196,669,086,666,696,261,466,990,125,183,214,869,843,959,
574,180,081,270,498,807,029,685,210,564,740,645,294,133,338,241,940,242,436,
463,692,255,893,240,673,515,675,353,037,060,286,753,642,593,829,339,048,333,
741,198,872,941,182,209,308,043,862,892,430,878,390,656,675,456,585,499,808,
338,134,277,796,994,641,921,976,493,967,095,099,827,300,558,126,281,064,312,
235,311,541,516,432,607,239,796,640,586,312,170,822,979,655,265,629,860,368,
541,143,996,256,118,391,734,199,596,319,441,555,279,804,973,506,632,893,203,
787,157,873,814,598,245,995,356,922,245,517,405,054,150,676,915,138,553,046,
163,977,444,932,318,763,603,469,652,682,488,169,316,384,914,005,259,218,925,
847,289,939,191,347,505,135,053,269,084,260,270,780,862,805,291,030,098,811,
945,851,214,531,738,940,368,827,582,590,567,044,964,317,731,954,678,504,387,
786,114,493,767,085,864,489,495,331,400,271,206,003,624,789,108,984,310,953,
518,747,370,588,899,090,755,950,267,608,739,184,127,356,129,564,800,759,457,
326,404,644,669,260,233,540,209,631,507,215,145,300,119,131,494,001,011,197,
697,708,037,193,653,565,714,809,653,576,846,323,854,792,979,690,747,347,838,
468,162,911,923,530,936,310,395,118,999,151,528,418,435,800,382,173,562,683,
977,748,929,599,455,929,533,913,602,688,367,878,853,677,147,267,505,891,419,
522,486,468,432,109,908,446,229,940,483,564,046,720,192,452,093,028,838,989,
292,653,135,744,075,996,815,202,616,439,497,728,012,187,884,183,637,144,463,
663,482,581,562,723,025,186,448,187,573,712,591,161,332,359,554,211,602,979,
306,254,856,582,634,424,572,669,135,271,507,894,084,006,808,263,974,714,610,
769,792,795,497,083,659,235,398,436,756,124,903,533,887,187,158,378,177,544,
972,526,083,133,831,294,978,948,775,515,258,280,833,586,583,741,710,143,345,
023,742,555,079,200,930,683,959,445,595,782,127,183,359,420,782,079,466,985,
693,315,625,549,344,386,246,122,479,815,891,816,447,922,114,827,557,871,244,
934,171,070,001,773,541,157,826,240,798,768,688,276,828,244,955,128,379,816,
851,277,515,037,204,650,884,421,233,882,048,204,074,308,053,972,175,487,558,
378,701,292,623,020,416,605,349,511,142,282,947,383,189,794,643,939,332,340,
266,067,563,725,671,335,192,060,327,520,631,480,188,296,570,569,291,340,141,
038,713,825,101,146,468,277,702,366,211,421,605,014,003,753,376,884,713,249,
096,604,144,232,916,758,766,541,922,253,899,594,039,182,403,263,303,047,344,
054,939,836,097,025,265,327,048,597,931,945,982,324,085,549,138,757,885,683,
075,243,496,163,746,122,581,874,408,256,346,275,986,560,635,233,440,127,856,
727,696,094,868,725,474,541,710,898,025,154,470,915,481,434,045,533,002,742,
315,614,579,197,654,625,050,806,229,037,005,938,250,786,465,734,944,347,972,
430,358,086,928,099,056,194,054,623,405,055,272,914,912,154,193,876,700,488,
087,785,248,833,391,446,133,518,031,882,163,550,465,210,022,662,973,715,616,
532,321,834,179,840,844,020,861,448,091,700,524,678,185,141,357,523,781,638,
330,525,660,725,630,695,135,412,729,903,134,473,846,133,939,967,966,248,240,
489,690,175,767,643,554,078,661,349,389,974,677,127,162,233,125,268,130,194,
999,326,563,276,790,550,137,169,022,359,671,379,912,760,764,026,876,519,310,
245,640,802,480,934,420,148,758,141,271,078,785,677,233,048,640,835,268,312,
060,423,221,958,174,956,916,501,703,224,653,558,482,398,208,880,738,427,330,
132,199,353,362,311,890,590,170,597,950,838,101,866,841,556,573,471,923,883,
672,424,712,393,486,890,146,145,800,169,246,236,512,582,054,147,929,643,828,
508,074,799,614,421,598,245,999,528,115,338,611,043,767,453,850,027,643,491,
552,422,628,481,837,967,343,430,819,007,050,600,530,169,657,648,171,688,371,
310,805,177,152,287,583,033,295,220,625,376,040,053,551,694,830,679,139,536,
109,015,329,242,887,290,809,917,569,262,575,911,496,705,102,249,539,425,222,
430,091,237,475,852,728,031,815,246,283,121,389,721,575,951,456,485,619,247,
444,183,604,317,149,428,092,270,768,610,438,142,063,041,908,069,001,036,266,
200,893,664,853,198,507,496,400,903,184,005,260,706,486,065,987,894,685,025,
840,452,857,938,192,830,501,615,884,666,502,194,891,808,873,924,325,510,856,
846,079,000,302,184,228,664,716,870,729,917,300,561,184,104,556,488,943,737,
676,331,962,295,600,864,843,785,342,888,066,800,164,909,248,979,492,307,239,
683,429,930,127,855,759,101,110,208,865,488,671,278,060,549,994,078,527,807,
402,453,182,865,976,226,148,800,530,278,184,181,386,277,797,724,483,484,659,
806,349,507,602,822,961,400,661,487,688,033,706,746,653,203,617,984,299,022,
762,792,201,234,269,840,142,310,849,344,932,925,752,567,236,712,701,658,745,
269,872,635,611,946,323,906,892,008,672,910,191,067,291,348,450,941,682,183,
308,949,247,610,455,459,473,847,909,186,836,542,619,863,555,638,877,562,506,
293,433,471,990,667,277,019,943,216,206,270,966,061,301,710,274,296,745,931,
275,698,458,790,007,747,799,071,745,369,192,326,117,150,340,637,266,306,191,
993,727,116,199,183,877,223,727,204,915,888,610,284,035,697,322,368,568,976,
865,933,242,628,841,781,932,394,417,749,699,811,048,715,684,147,802,545,847,
885,075,738,343,997,607,134,265,475,128,144,321,959,577,707,703,438,145,853,
086,649,352,172,111,138,123,687,850,345,604,201,087,273,860,307,624,414,880,
207,371,101,837,561,594,518,844,601,113,318,421,920,495,473,421,860,768,571,
187,114,925,014,471,181,064,408,028,239,458,986,780,778,832,376,512,885,938,
496,171,608,699,628,765,857,590,422,258,524,577,346,116,126,528,219,064,701,
827,459,165,690,118,359,086,697,997,899,923,525,791,383,307,936,600,031,631,
332,278,849,573,503,565,359,354,557,147,231,737,018,982,015,022,029,279,360,
440,956,577,277,209,958,284,283,435,377,615,058,134,835,327,277,341,969,290,
343,471,501,330,912,097,050,662,685,780,518,899,458,284,467,357,539,287,459,
771,878,555,911,027,704,272,256,422,874,765,350,854,445,515,580,939,012,670,
744,233,589,097,590,088,352,641,890,298,074,045,373,365,491,769,915,944,906,
364,408,732,515,820,694,863,673,163,451,307,277,497,973,634,100,193,541,532,
809,564,490,797,826,550,716,036,941,370,889,189,325,311,282,679,265,976,347,
715,476,138,197,069,452,152,996,607,398,337,726,533,021,250,980,611,573,623,
335,161,923,978,103,213,521,752,917,834,097,715,974,249,019,379,302,302,233,
976,652,659,442,010,406,883,331,260,529,772,057,075,819,280,176,869,029,602,
623,357,034,694,906,678,573,081,343,335,317,859,902,465,442,291,185,141,183,
163,273,185,778,947,382,266,583,302,395,961,388,139,881,869,723,378,975,024,
034,313,154,301,479,193,126,304,226,314,771,446,834,895,702,628,080,040,226,
979,156,186,635,543,879,889,985,555,127,742,506,687,722,669,356,269,431,566,
483,935,632,647,236,100,725,876,874,412,526,156,024,199,900,812,014,624,593,
606,708,198,435,993,065,222,775,118,594,930,942,176,789,428,842,562,650,493,
595,814,480,865,680,031,387,245,847,094,583,976,031,516,002,592,940,152,697,
703,682,995,751,552,004,107,202,132,369,217,767,203,701,747,385,148,475,071,
438,675,077,422,943,051,183,980,977,212,863,913,604,822,583,187,923,265,092,
886,985,994,203,821,025,775,750,186,620,299,711,752,219,787,783,517,577,365,
895,490,785,535,865,161,592,988,695,563,023,316,105,767,660,993,842,639,469,
507,363,171,134,969,733,340,099,005,683,855,186,837,793,835,734,117,918,817,
832,069,232,622,695,288,605,390,714,007,156,770,980,541,512,044,584,709,148,
415,866,308,685,150,848,130,511,663,835,837,222,281,470,015,788,633,654,965,
524,826,586,964,203,997,439,360,941,179,552,505,611,396,399,407,748,271,973,
886,676,074,572,646,488,591,511,350,015,100,258,037,404,140,267,575,505,847,
425,365,422,315,370,090,151,595,767,771,342,077,210,835,810,666,263,572,406,
754,007,437,454,543,154,075,582,402,650,694,789,917,399,405,625,519,084,324,
075,876,738,311,527,125,515,593,591,413,247,371,675,990,363,212,932,369,593,
395,468,000,530,327,407,372,139,443,928,801,928,050,178,045,994,927,597,933,
975,578,651,548,188,740,057,771,085,448,345,080,637,288,414,578,747,541,422,
866,794,973,522,566,369,200,404,145,105,632,148,550,418,857,223,845,277,911,
743,995,522,144,916,775,211,505,101,552,156,415,404,788,623,820,248,518,755,
937,375,646,784,419,937,190,433,866,809,032,947,070,635,087,700,970,235,054,
025,703,726,439,787,892,774,726,543,248,398,710,216,067,032,890,904,041,309,
259,859,888,265,258,074,403,939,967,006,968,417,593,058,668,398,398,057,277,
347,134,394,712,098,424,381,383,198,942,271,080,571,069,350,519,683,148,177,
042,528,335,916,663,445,771,067,917,792,784,984,202,529,704,619,705,078,338,
271,338,268,006,566,422,091,771,013,997,268,266,991,224,640,866,872,745,541,
105,700,367,426,930,099,200,724,137,594,228,435,039,659,125,887,639,203,924,
497,329,628,238,155,498,789,741,663,246,857,017,609,010,403,778,239,516,034,
658,003,715,272,221,911,153,263,818,564,560,146,878,678,340,900,859,131,840,
489,803,918,428,845,887,456,902,742,494,789,938,697,418,373,543,751,767,306,
349,616,886,054,327,469,140,096,786,268,838,945,182,924,230,337,791,401,454,
744,029,580,857,110,284,093,565,573,262,404,492,324,354,601,150,379,313,855,
760,787,989,392,419,782,183,219,343,765,509,245,170,390,994,162,363,374,921,
179,940,419,622,746,281,689,357,537,633,777,340,647,087,772,364,347,016,094,
615,908,603,016,113,939,867,781,502,990,226,127,481,468,022,717,919,598,884,
320,005,510,414,668,679,158,293,157,943,850,277,890,196,711,013,654,152,114,
271,826,146,740,339,829,015,926,401,416,590,141,236,427,367,776,496,196,399,
603,669,848,238,478,952,242,245,343,407,748,670,031,723,034,358,212,607,628,
300,550,734,636,913,179,323,448,281,500,937,961,184,762,969,751,226,062,955,
928,576,503,220,883,566,516,512,941,181,398,500,041,073,268,043,064,524,497,
449,314,171,086,939,128,922,047,863,445,228,194,386,175,213,608,602,224,476,
401,452,903,233,199,036,498,697,146,968,088,516,937,084,787,479,596,496,989,
883,821,174,453,513,487,794,186,011,082,511,203,702,286,266,894,080,417,226,
594,884,668,412,350,975,092,213,580,884,885,215,591,642,526,618,047,675,126,
319,530,396,634,778,802,447,344,483,648,165,171,462,356,363,811,919,075,300,
046,234,285,012,940,259,220,948,657,897,028,477,201,872,327,414,891,634,915,
981,239,985,272,614,227,971,837,110,347,323,994,717,762,055,911,087,436,339,
821,569,037,290,363,125,281,619,658,752,987,217,358,352,409,028,845,048,123,
649,932,026,058,831,782,363,520,849,902,465,922,503,571,571,595,392,532,948,
428,689,663,863,439,353,339,565,528,549,543,189,556,061,586,530,288,541,913,
690,552,237,473,518,868,336,998,990,093,043,615,160,554,023,341,131,500,875,
819,932,316,178,418,397,710,662,605,235,006,273,517,895,306,571,469,563,249,
572,160,917,170,768,157,141,237,205,073,297,790,353,012,122,735,843,640,465,
133,156,854,890,390,600,594,094,124,899,841,912,865,621,706,420,678,609,363,
755,101,423,015,822,086,492,348,024,771,989,552,690,409,190,987,554,780,123,
942,475,479,515,522,840,544,555,601,181,066,755,239,076,728,626,600,171,133,
599,880,304,195,359,391,722,233,493,329,895,223,746,004,890,145,021,462,951,
353,548,985,763,917,628,500,285,978,835,028,690,036,830,491,445,613,107,749,
431,267,138,486,607,843,196,674,204,097,898,743,236,165,533,854,219,357,190,
226,426,348,754,656,121,130,404,496,643,226,017,204,553,654,034,051,943,273,
760,425,604,974,616,739,340,694,716,452,846,078,596,068,407,223,249,157,799,
351,684,495,242,181,810,466,596,685,604,846,941,457,397,888,449,705,963,108,
029,565,595,440,058,745,410,284,193,802,654,005,695,853,664,999,562,255,371,
203,360,924,512,019,326,042,322,287,141,762,683,226,419,969,671,645,830,170,
147,095,642,364,815,144,728,768,200,773,278,822,634,774,760,928,907,765,183,
915,754,156,220,633,886,611,396,577,191,716,206,059,586,319,711,495,578,978,
134,238,988,315,444,823,814,080,996,786,014,785,910,988,249,529,098,976,490,
484,118,934,887,800,844,121,265,974,517,522,553,611,042,648,221,605,900,434,
236,114,632,890,175,589,495,613,060,102,100,212,212,692,096,133,193,963,971,
020,600,229,474,373,826,675,748,433,676,425,705,916,295,285,819,194,613,214,
221,745,698,230,959,635,939,425,449,819,670,235,441,239,377,075,559,622,962,
094,904,765,671,821,247,398,790,728,109,080,276,214,869,913,143,290,349,227,
710,552,750,929,139,473,239,270,862,566,293,814,988,522,592,378,147,005,872,
827,296,503,929,793,634,942,596,038,657,666,653,182,871,858,230,921,191,688,
727,493,830,528,617,442,249,076,779,848,983,231,915,776,003,797,250,032,576,
498,446,617,943,738,240,215,748,898,037,910,834,216,044,916,257,574,923,527,
461,038,394,467,119,443,093,597,772,716,862,232,158,766,711,079,756,025,493,
300,062,713,856,573,773,889,088,762,355,969,408,071,898,274,034,450,087,079,
486,148,853,701,335,862,433,611,802,075,260,122,923,500,527,533,173,160,966,
900,805,981,775,567,127,094,936,227,057,056,855,904,653,711,697,498,225,220,
359,612,025,052,630,992,004,767,352,402,678,084,289,948,148,427,744,833,648,
654,049,404,858,974,882,523,900,732,953,982,266,391,500,478,916,538,874,987,
294,582,772,149,773,948,355,325,408,343,284,304,600,241,877,028,046,308,040,
477,251,118,862,877,977,410,855,089,107,274,112,406,087,974,340,448,754,013,
241,074,717,836,460,793,717,289,415,370,435,264,532,237,955,967,486,624,829,
488,973,303,634,269,240,787,446,115,111,127,100,616,295,972,162,419,083,630,
100,195,739,388,999,804,296,852,268,776,050,042,875,191,128,725,360,838,002,
858,367,228,845,935,114,904,703,429,247,004,303,267,453,429,819,552,626,548,
788,781,829,502,548,646,302,563,558,587,679,326,784,399,507,400,254,813,409,
836,243,383,930,543,686,715,873,474,666,491,277,883,746,062,293,808,099,963,
509,397,089,644,461,461,064,964,149,556,801,496,048,705,629,666,016,954,843,
818,799,437,583,763,950,398,960,881,336,741,359,219,500,751,323,668,087,013,
063,781,088,825,759,645,419,561,830,747,274,861,678,847,367,491,690,134,823,
912,165,048,443,741,639,402,344,605,543,107,553,098,406,129,650,887,409,710,
301,522,512,385,643,567,655,536,375,139,168,767,530,165,336,605,154,228,399,
219,919,895,085,318,435,505,818,524,754,069,139,293,851,764,718,891,370,820,
252,282,651,131,050,375,069,552,305,583,379,201,148,099,898,835,441,656,884,
109,382,756,328,666,107,020,010,787,132,487,986,664,676,916,625,958,619,923,
719,401,388,083,699,775,057,666,205,182,499,858,343,764,525,310,804,052,043,
183,065,821,260,675,127,078,258,408,735,429,162,952,672,453,154,069,886,595,
195,193,754,667,094,522,615,521,444,289,108,518,227,474,756,849,560,224,457,
361,010,587,530,125,598,992,810,445,264,135,488,768,056,885,786,087,643,465,
355,079,760,766,924,767,637,581,794,275,020,312,228,143,336,253,053,124,512,
327,381,175,745,081,934,038,725,531,938,224,976,573,598,689,613,971,641,867,
522,512,513,123,733,530,097,782,126,379,018,627,827,528,670,336,709,428,410,
449,608,150,595,321,364,454,915,405,885,621,966,232,211,252,749,586,093,116,
458,646,567,068,719,166,180,693,321,917,290,914,249,812,367,419,933,113,422,
820,742,885,328,101,672,613,164,531,125,093,394,327,584,553,841,620,309,381,
809,032,898,337,667,301,379,692,844,718,690,034,778,463,902,377,660,033,665,
839,817,854,708,183,500,594,570,408,583,794,647,958,419,785,951,312,650,430,
802,495,635,416,586,983,900,536,647,320,015,267,127,921,596,755,358,938,921,
674,567,246,621,786,068,358,248,564,360,399,376,447,393,399,131,235,176,971,
024,702,778,176,598,380,501,982,792,658,230,494,032,185,737,235,439,912,868,
892,188,703,678,504,853,909,590,097,787,688,149,339,930,010,469,202,505,200,
327,550,437,186,300,579,850,809,096,443,340,507,399,927,692,938,231,543,572,
675,592,510,112,148,018,667,636,188,914,375,411,918,940,957,872,209,293,692,
741,607,528,353,430,459,729,647,435,630,484,894,083,714,612,953,671,066,276,
321,616,208,444,720,431,065,695,496,363,235,705,380,850,547,454,837,934,335,
454,735,181,852,753,407,713,451,944,639,797,004,020,093,299,996,446,848,207,
242,017,482,649,953,277,333,169,631,238,721,475,144,967,092,847,625,611,782,
411,604,071,788,976,905,802,906,531,324,407,626,162,543,326,875,311,604,992,
762,761,515,615,149,829,516,292,411,536,902,977,296,634,402,979,234,974,322,
682,564,568,447,573,178,276,454,915,672,558,349,380,415,930,421,992,378,890,
967,812,941,296,353,124,367,976,549,403,661,840,302,780,324,478,073,977,277,
446,002,846,968,062,662,048,547,783,960,211,974,970,111,026,749,826,704,906,
901,746,026,075,198,335,128,705,786,026,825,606,609,728,586,397,003,294,905,
554,478,771,270,172,196,678,398,439,659,539,372,362,877,763,136,876,006,646,
281,843,891,435,715,068,638,367,045,407,407,429,051,542,777,075,627,593,656,
057,393,364,043,011,836,548,953,922,737,301,824,399,687,951,300,288,402,888,
149,910,875,279,745,988,192,315,084,587,368,857,849,941,159,387,611,733,318,
423,304,115,886,197,537,702,100,893,825,222,723,815,454,910,509,359,246,240,
340,194,453,753,473,892,907,702,580,173,266,056,957,202,638,662,483,693,661,
463,920,516,174,640,797,318,348,721,502,627,476,822,641,331,458,793,980,503,
638,001,037,588,499,425,649,108,767,023,085,526,794,140,382,296,548,728,390,
805,646,181,608,049,411,843,297,967,111,766,481,758,065,938,283,182,706,091,
083,009,963,196,931,439,059,943,851,251,243,219,901,766,362,968,282,593,416,
706,138,897,974,315,587,389,958,578,660,023,328,857,455,877,915,392,618,961,
447,058,691,012,722,945,002,372,073,939,279,036,299,613,005,288,529,450,998,
506,585,186,793,855,736,367,628,337,500,396,066,633,747,294,742,550,188,559,
287,950,436,073,983,784,755,715,173,440,167,455,326,697,015,291,920,849,235,
327,923,554,604,873,646,360,135,906,607,695,913,351,649,134,523,914,376,605,
977,810,733,469,085,091,532,000,805,718,779,019,654,776,546,861,024,414,992,
051,099,992,350,300,349,280,020,471,466,968,752,029,505,902,213,777,760,519,
300,509,644,691,028,978,423,859,555,664,644,896,630,813,807,720,797,773,393,
734,923,486,303,148,215,295,732,098,037,655,515,565,129,986,289,926,327,628,
235,098,162,953,967,273,919,444,359,703,418,107,078,334,645,956,560,853,426,
990,115,246,238,241,961,057,892,917,612,225,890,456,491,482,568,896,341,798,
348,990,904,045,619,974,729,728,323,110,817,522,714,046,040,098,877,127,070,
839,518,473,318,271,444,538,333,188,787,074,454,914,325,428,033,183,614,890,
138,386,805,765,664,288,665,660,354,277,968,156,787,238,927,449,147,312,713,
071,201,137,365,889,819,436,213,306,126,757,579,481,677,844,766,523,039,069,
616,460,445,733,338,363,372,492,797,819,592,473,379,027,757,018,598,522,227,
213,991,180,286,936,636,896,285,958,908,619,866,632,819,465,743,974,609,381,
818,928,172,481,987,408,107,518,261,436,474,688,265,459,374,588,216,219,325,
991,088,134,642,242,376,608,594,782,276,509,424,670,311,276,819,237,247,115,
382,299,305,222,852,515,287,836,258,280,524,351,779,244,513,586,543,117,846,
211,302,362,688,355,442,094,740,021,963,492,905,063,739,090,190,450,059,467,
778,350,663,299,763,274,045,520,011,333,813,782,322,005,490,983,193,790,969,
527,404,973,553,690,622,109,102,067,889,524,069,668,075,347,258,371,756,464,
609,836,544,963,328,170,305,491,621,137,877,685,719,839,996,295,865,042,108,
400,664,727,662,050,166,268,149,517,959,523,914,013,447,078,357,536,189,478,
022,161,587,527,303,638,027,116,795,996,425,456,206,128,552,672,928,569,749,
621,634,727,208,941,853,641,039,036,847,245,878,966,172,978,243,475,743,699,
083,328,772,363,435,651,738,241,573,702,555,566,223,580,017,666,540,020,009,
057,243,355,926,970,815,752,081,806,799,250,104,080,405,304,321,023,117,350,
508,938,138,804,944,305,781,350,612,685,153,089,869,695,742,003,946,859,533,
880,326,512,702,784,358,487,957,309,983,055,221,211,168,451,603,582,993,487,
004,909,205,034,436,541,171,097,765,904,333,416,062,565,984,222,093,721,866,
071,023,290,919,406,968,566,646,549,085,234,669,607,146,325,009,733,343,528,
237,073,742,597,008,351,891,553,586,902,284,462,193,593,988,607,914,156,748,
845,142,066,758,083,017,378,539,348,611,991,596,534,967,141,051,260,250,968,
326,013,067,316,877,945,934,614,971,175,420,909,285,250,755,207,808,468,250,
562,993,177,320,105,559,677,793,057,764,899,174,840,964,396,774,864,776,086,
242,413,198,502,531,890,214,876,280,159,606,968,393,793,992,997,414,775,034,
966,694,742,391,989,650,316,846,955,528,488,621,952,282,056,142,048,108,723,
964,868,532,873,718,860,524,676,413,811,147,059,130,864,434,595,977,691,830,
839,102,321,494,374,016,443,372,971,656,931,618,908,613,965,161,344,416,246,
687,747,896,067,902,271,726,986,309,996,812,131,063,515,257,979,431,007,538,
152,431,358,034,380,573,537,229,119,266,300,466,575,486,673,498,498,216,053,
947,775,975,109,938,891,901,522,664,955,528,685,890,976,151,567,745,239,865,
965,314,280,975,546,346,839,744,964,179,494,050,985,982,569,911,778,472,037,
485,865,494,350,399,502,506,056,718,758,895,953,509,451,205,930,160,131,322,
947,839,085,319,334,970,155,472,392,540,571,552,359,856,785,668,621,650,170,
839,605,623,418,589,046,234,053,140,210,537,990,986,819,478,021,498,918,528,
753,436,209,771,935,452,870,119,841,221,318,192,482,703,679,654,898,399,719,
034,836,648,863,706,706,485,543,977,408,679,203,175,994,091,167,683,579,890,
709,795,460,682,214,542,749,987,164,455,082,750,719,036,311,754,851,669,912,
185,635,552,576,747,904,331,633,432,948,676,166,019,288,958,722,233,923,603,
849,628,488,013,550,488,786,807,407,610,860,130,578,110,922,569,489,285,145,
391,422,194,405,556,577,844,720,848,828,076,014,218,156,590,902,606,324,897,
466,125,491,662,978,797,671,107,570,230,828,641,236,121,816,710,160,476,882,
064,374,313,367,250,672,669,486,996,000,325,576,864,921,730,853,596,895,223,
897,137,868,655,032,160,529,742,349,156,004,302,195,558,688,001,572,356,508,
498,111,256,846,169,592,033,062,530,980,447,167,661,601,014,477,125,991,194,
938,374,672,330,507,892,408,099,937,402,373,115,846,415,816,361,768,676,574,
178,783,287,586,307,480,175,482,513,111,905,268,924,289,799,066,275,998,764,
915,634,053,192,354,287,955,297,898,469,668,289,551,461,289,840,520,412,387,
309,294,277,531,754,425,356,287,000,610,251,437,209,714,442,364,338,463,862,
622,138,771,149,795,511,023,056,013,394,364,594,697,685,545,891,274,006,969,
492,781,196,751,479,827,567,184,457,939,659,022,571,895,957,340,706,642,901,
565,219,154,356,533,021,741,112,360,561,941,233,312,627,699,964,389,922,632,
287,572,886,305,949,767,708,530,814,117,376,648,265,424,118,425,343,695,111,
902,121,974,579,221,378,310,712,428,093,086,660,629,386,408,033,341,027,460,
192,981,131,294,986,201,463,196,178,894,290,394,879,715,245,662,608,264,973,
366,252,461,690,121,835,489,718,168,009,591,385,196,737,373,938,560,659,394,
242,138,434,300,498,072,231,250,280,867,729,797,588,945,038,585,291,891,025,
521,143,354,257,563,352,069,905,110,605,715,283,740,950,004,009,844,394,950,
982,376,539,896,561,251,206,642,176,959,351,531,511,823,674,972,267,597,817,
221,398,907,789,148,404,819,519,670,500,500,529,927,552,777,508,178,995,677,
032,360,052,338,243,835,346,693,398,145,857,229,039,987,579,388,774,121,535,
973,228,010,080,589,400,663,935,898,470,113,742,598,177,642,888,149,293,739,
333,517,405,154,408,600,516,836,918,010,950,429,732,205,293,204,855,633,474,
341,113,071,294,890,678,244,517,136,379,808,396,250,910,636,065,635,772,601,
440,795,318,751,840,860,169,500,859,418,838,096,540,879,826,027,429,335,012,
248,617,996,572,007,387,472,218,668,549,197,750,709,110,847,663,037,000,220,
297,595,402,589,567,641,783,948,715,811,446,603,804,368,880,198,874,728,284,
174,921,776,506,188,431,643,733,206,014,763,800,532,970,256,854,070,081,787,
066,330,039,322,719,764,618,156,152,131,663,055,887,016,716,760,242,362,992,
836,465,694,316,553,022,765,962,777,136,269,910,619,870,882,866,221,211,617,
264,665,296,056,861,850,692,627,100,651,557,805,280,774,447,474,226,396,561,
203,135,124,955,266,184,978,289,497,628,556,235,221,921,543,704,573,428,564,
596,553,303,015,845,797,465,339,361,755,178,855,372,689,802,901,833,913,376,
464,044,667,837,168,928,037,837,013,399,401,289,659,980,359,423,175,403,606,
022,581,531,217,325,785,916,129,202,860,862,568,424,240,819,355,713,677,774,
600,606,498,750,988,121,500,729,509,254,809,724,731,594,648,376,006,166,298,
864,577,440,416,666,842,246,749,485,532,391,956,936,618,579,412,770,901,571,
576,977,413,070,676,154,754,763,811,408,677,277,453,477,175,494,674,114,383,
623,043,599,538,671,114,457,718,390,662,610,862,146,588,379,983,185,227,236,
385,853,029,951,628,949,193,095,857,581,574,573,317,961,691,477,572,147,309,
469,890,298,399,234,018,721,911,870,880,352,507,060,850,353,652,995,634,842,
095,307,056,661,906,344,669,524,947,136,934,904,648,042,510,352,460,359,723,
236,536,708,179,301,717,087,893,368,877,323,925,182,574,674,622,509,791,335,
469,730,447,357,682,658,576,236,823,014,555,894,301,046,085,676,248,713,597,
899,515,960,679,958,199,392,251,604,974,539,690,497,563,259,408,758,537,991,
369,514,251,254,764,701,194,432,458,442,316,458,983,406,124,731,974,506,969,
079,778,076,457,102,172,721,380,218,226,681,666,554,462,878,348,489,944,546,
939,854,513,159,025,819,833,858,354,116,283,481,764,989,320,249,740,919,005,
784,790,292,106,132,045,062,835,230,914,255,049,814,478,786,156,397,424,941,
749,272,836,372,793,321,352,694,529,448,887,527,133,642,294,171,686,094,627,
830,541,668,354,096,932,262,948,997,280,612,516,950,633,076,147,368,400,598,
226,360,527,604,146,891,989,845,558,273,939,937,242,814,431,980,532,982,456,
517,406,599,733,740,422,568,354,648,474,323,516,066,090,508,418,302,309,461,
166,954,345,769,412,408,972,116,975,682,416,521,130,877,936,733,422,401,004,
520,723,664,919,483,759,227,702,269,801,379,753,241,569,996,906,386,059,092,
690,446,018,193,906,381,304,598,839,469,656,101,072,414,545,038,484,635,631,
904,305,926,549,920,450,034,308,575,883,746,509,334,515,159,301,173,747,513,
109,222,005,724,650,659,318,434,666,648,449,375,251,136,259,515,428,171,035,
693,381,375,544,170,187,709,614,467,841,009,702,673,786,190,744,435,497,732,
933,312,559,472,827,855,420,682,207,948,345,650,266,725,290,463,045,990,166,
244,356,522,516,774,525,315,687,275,516,045,268,665,700,504,664,984,871,758,
680,897,093,737,739,941,206,494,436,012,034,339,303,865,035,892,615,110,968,
641,470,543,237,880,925,770,171,775,753,939,034,214,472,137,581,029,969,137,
682,053,382,824,576,636,468,776,714,874,319,201,995,009,514,074,659,530,386,
822,408,939,685,407,054,845,344,223,195,825,930,005,648,105,151,534,923,257,
972,193,720,338,407,541,817,964,179,074,984,346,844,125,199,719,583,538,378,
424,264,383,153,879,010,727,775,429,850,781,561,235,692,209,006,563,252,814,
178,179,761,085,099,589,271,521,274,755,043,706,342,750,562,465,897,303,141,
277,800,644,256,516,344,880,390,253,680,038,292,949,980,255,531,712,818,094,
747,218,074,842,129,030,283,709,533,682,018,363,900,201,980,984,033,765,738,
617,069,956,702,252,045,408,298,798,467,228,374,713,426,856,328,901,988,868,
529,475,774,638,430,817,956,293,163,964,983,302,654,667,676,697,373,085,317,
553,664,733,586,191,191,686,587,468,483,770,447,106,960,900,995,797,527,401,
949,481,008,429,189,826,853,484,387,109,848,796,609,865,010,543,039,012,402,
623,218,138,264,808,969,955,247,957,111,466,262,274,160,701,653,633,148,887,
008,684,224,951,198,690,112,938,969,234,712,700,069,196,857,824,444,739,590,
506,235,211,487,448,090,317,667,960,799,203,575,028,394,212,280,950,031,721,
927,907,138,580,405,303,974,993,756,244,816,317,800,135,447,420,733,078,243,
360,730,206,353,705,585,370,915,236,625,814,145,478,910,070,161,472,404,989,
943,220,285,680,982,133,840,899,974,690,871,930,512,616,878,439,309,239,532,
072,401,177,142,387,331,864,989,287,096,221,095,078,574,042,224,537,480,795,
595,160,107,121,914,613,533,956,476,933,773,656,223,851,285,537,266,022,905,
550,736,265,755,297,149,903,699,801,379,570,048,533,685,434,659,948,037,440,
988,625,318,501,085,616,483,466,061,062,079,259,871,687,994,083,959,105,038,
041,768,584,629,899,937,379,558,095,068,762,116,848,157,529,398,915,687,790,
157,650,874,279,767,151,969,670,778,584,266,670,919,406,152,335,972,087,381,
940,924,943,231,457,184,750,001,308,293,547,966,859,384,801,800,522,824,888,
350,759,178,837,630,865,758,896,125,006,652,714,738,310,102,366,496,435,217,
479,033,477,443,685,717,145,099,097,233,257,064,488,661,134,758,233,978,624,
976,501,984,882,061,446,030,390,436,690,369,287,926,746,606,774,862,540,820,
719,433,810,873,091,209,884,912,440,242,841,124,730,642,423,156,343,370,482,
836,152,902,334,993,309,224,593,818,391,296,655,394,505,498,293,636,999,149,
128,014,843,025,346,973,307,457,695,459,806,395,841,800,182,616,136,477,659,
549,436,525,301,960,476,501,404,572,534,697,543,130,332,561,654,187,362,517,
603,882,474,136,319,144,606,230,385,122,662,364,173,670,858,562,358,968,337,
820,280,801,429,600,511,472,847,161,283,207,337,939,731,427,214,915,151,311,
664,323,810,084,283,161,569,523,852,483,083,854,612,312,400,744,384,568,949,
209,121,281,087,738,555,389,950,447,874,113,981,415,401,385,926,884,481,037,
288,813,230,484,002,889,462,011,482,235,317,660,999,377,221,356,472,793,529,
968,793,467,807,757,422,137,933,879,057,682,011,380,663,457,266,310,795,329,
193,035,055,836,159,917,805,472,090,430,589,519,894,519,953,579,053,827,458,
821,313,605,154,474,858,311,187,992,928,923,864,673,105,693,184,901,070,687,
887,600,665,575,872,676,788,901,386,557,227,547,288,580,321,309,377,484,280,
359,453,504,285,438,082,740,710,117,619,818,104,714,504,361,368,835,938,121,
502,887,433,381,426,252,296,344,982,223,407,015,787,484,634,963,621,677,177,
101,473,219,384,465,203,817,929,069,031,427,809,774,303,998,696,662,539,388,
270,418,248,643,106,240,627,338,096,224,762,373,589,901,079,961,201,365,936,
911,737,236,265,808,203,403,751,789,757,911,721,455,622,186,959,072,848,428,
876,963,399,048,502,918,069,382,504,367,882,508,083,004,465,882,785,176,813,
361,467,866,851,289,122,986,578,420,790,354,996,610,426,493,304,095,413,372,
191,958,381,829,611,929,287,515,057,572,786,421,447,488,555,469,975,130,713,
556,632,198,613,049,404,171,200,634,141,594,003,329,228,720,278,889,997,225,
028,097,976,232,528,519,296,293,128,553,948,946,578,567,224,765,047,103,770,
151,081,108,410,039,853,138,180,724,223,835,351,444,636,701,787,746,311,666,
742,482,828,079,792,578,544,381,856,244,716,882,810,783,702,549,449,767,255,
282,837,802,699,874,067,409,607,095,941,803,126,965,111,604,144,872,330,243,
296,644,587,749,199,639,281,822,920,013,087,963,898,807,868,520,644,015,950,
832,674,152,354,107,571,710,442,852,175,904,670,611,303,850,699,800,994,248,
519,656,179,123,171,748,065,644,208,261,738,658,048,218,457,972,304,904,731,
506,902,906,990,940,111,549,299,627,970,810,137,318,754,783,967,070,534,622,
824,441,272,380,207,010,628,490,048,063,154,634,073,271,948,613,448,791,283,
955,217,798,438,137,235,734,742,802,004,458,582,441,913,653,057,459,771,015,
433,185,422,182,099,863,436,678,771,961,057,686,782,932,809,568,020,626,447,
892,776,544,776,101,920,053,609,546,657,371,814,928,483,093,667,497,780,900,
115,427,492,288,216,411,816,440,907,257,750,702,807,629,548,316,919,525,057,
177,687,815,271,369,602,479,636,514,701,026,614,422,718,761,261,186,405,936,
937,581,034,978,277,625,614,112,659,496,544,626,457,720,981,512,438,698,172,
066,268,850,777,135,608,278,073,864,857,503,029,950,805,260,074,930,395,549,
708,520,208,296,903,759,457,656,955,326,617,124,946,539,406,099,782,804,128,
795,014,974,167,563,128,113,988,394,946,022,059,784,166,542,334,566,634,344,
509,154,907,555,374,290,092,613,930,995,371,360,544,197,013,715,240,840,659,
818,099,937,735,137,920,736,094,569,767,420,412,982,336,498,812,755,228,853,
211,041,022,057,071,423,853,214,534,417,755,507,689,004,791,420,318,399,564,
390,350,457,077,316,691,305,132,226,126,890,152,240,214,969,016,964,911,768,
563,407,051,627,372,441,855,495,300,353,954,232,694,517,419,073,056,797,493,
361,170,289,715,825,313,314,212,107,233,658,654,160,624,314,497,653,263,170,
781,194,285,612,790,430,779,184,055,386,865,967,950,138,543,212,642,399,861,
219,634,609,513,306,325,973,377,372,042,677,811,414,755,236,497,394,226,378,
455,416,549,803,744,644,334,951,810,585,768,372,056,736,743,538,985,271,496,
940,204,193,321,902,458,999,073,308,977,845,223,017,627,869,684,429,280,829,
313,207,632,597,874,739,967,591,168,161,975,010,281,442,675,999,624,289,354,
773,601,299,308,102,201,851,544,654,250,301,483,293,620,572,883,244,777,587,
964,032,673,049,956,180,530,376,927,369,411,738,759,859,826,394,515,853,868,
442,274,246,936,482,985,596,397,746,028,282,275,067,858,129,085,849,294,047,
199,291,317,423,927,285,505,695,984,396,564,386,763,842,831,876,716,781,146,
522,677,741,638,701,309,043,463,639,968,360,347,513,627,176,421,592,270,124,
207,205,914,658,677,567,639,013,500,102,111,427,668,686,262,735,581,259,544,
256,305,652,252,396,694,159,252,639,095,793,096,973,378,053,829,845,869,427,
993,287,831,376,697,104,927,684,599,939,557,872,749,542,697,367,360,246,730,
599,358,160,777,116,401,730,616,720,786,980,996,409,485,400,951,407,464,382,
920,892,934,763,880,987,867,236,318,530,483,307,061,164,442,115,349,555,230,
095,121,218,566,824,845,131,160,346,205,517,439,992,185,379,996,385,176,365,
988,660,688,742,831,254,059,574,936,139,581,174,038,033,879,680,444,266,884,
609,831,367,799,139,464,953,241,513,685,223,214,791,170,174,852,216,290,199,
952,543,327,208,388,943,523,376,238,092,149,207,554,381,985,504,962,468,359,
169,084,624,758,218,428,402,972,118,772,954,480,224,718,174,740,053,035,152,
514,839,971,662,931,780,486,415,628,486,017,981,425,497,151,301,850,467,364,
386,750,683,666,521,297,575,916,541,629,139,471,032,373,930,767,471,073,088,
923,185,901,240,784,582,066,946,350,522,697,866,035,613,632,609,996,171,627,
627,917,054,789,568,578,027,457,882,736,905,445,212,222,506,541,593,424,311,
780,244,096,711,157,235,846,939,390,621,261,011,972,207,734,905,629,052,933,
734,559,200,634,840,220,910,272,880,034,078,465,553,251,420,840,269,163,984,
554,148,507,804,030,931,653,238,981,466,749,194,864,695,629,166,394,312,818,
660,213,028,542,738,540,099,396,552,551,243,523,429,735,032,163,385,955,940,
241,614,035,514,231,688,273,596,361,730,538,782,005,140,222,371,875,945,140,
722,905,401,422,761,800,238,026,409,754,721,076,730,642,697,428,572,134,832,
455,876,468,234,939,271,401,923,804,957,844,577,825,377,334,280,008,075,566,
309,136,372,338,028,038,284,687,727,995,073,825,926,221,372,821,388,461,492,
357,478,328,194,975,109,899,728,565,848,179,996,460,173,717,453,093,255,835,
190,956,525,648,739,996,901,639,717,504,201,402,563,862,670,701,675,899,569,
057,651,739,317,965,866,314,526,040,107,148,544,973,788,312,911,821,393,253,
296,071,941,466,560,009,166,360,874,124,688,044,864,818,825,695,864,799,983,
351,527,473,710,023,043,974,862,751,070,346,839,589,070,620,702,153,908,179,
649,847,782,065,674,926,643,115,711,669,704,933,452,827,452,558,171,411,160,
136,550,567,061,872,534,124,877,596,738,009,239,132,833,286,232,373,901,361,
500,284,352,326,510,649,072,114,528,195,832,954,652,142,422,875,777,996,358,
685,552,948,400,771,100,097,386,195,431,662,664,002,750,288,468,006,324,691,
452,440,068,301,033,448,094,144,749,911,955,946,524,840,335,041,242,958,391,
092,042,250,389,879,502,072,287,704,071,852,330,060,813,974,159,937,695,578,
279,178,473,751,367,538,934,970,996,496,136,260,645,785,557,569,437,856,327,
122,811,315,843,796,892,584,009,579,986,102,735,645,671,972,847,047,609,181,
844,118,870,102,641,979,972,442,309,167,313,412,426,102,133,211,649,327,024,
153,266,922,009,052,200,787,557,588,218,686,885,308,949,104,388,396,575,967,
185,285,942,697,960,811,334,882,658,732,786,324,173,615,474,805,404,306,084,
220,772,628,019,341,906,177,303,694,872,077,971,191,780,380,460,920,766,619,
669,068,243,308,764,162,135,775,445,818,017,590,580,897,970,761,313,172,807,
565,057,901,401,703,665,728,967,466,459,602,475,344,242,839,260,759,586,214,
344,144,519,751,374,420,392,242,770,278,440,035,667,828,089,027,890,906,982,
692,681,284,503,348,398,293,182,406,517,239,062,209,855,665,116,993,484,661,
719,719,986,062,513,805,552,549,594,190,063,209,713,860,374,871,789,248,274,
064,244,726,546,435,010,497,548,286,212,174,122,631,348,208,444,840,930,170,
741,686,100,378,636,684,988,497,977,154,053,720,055,103,230,046,870,528,323,
342,606,673,461,782,134,925,337,129,083,656,347,194,250,166,142,177,582,504,
695,014,671,775,264,878,428,263,004,042,214,280,506,146,461,981,056,648,476,
175,978,252,871,065,428,589,285,541,367,311,672,324,492,881,453,142,683,367,
609,234,709,348,849,554,229,670,362,494,932,022,944,384,749,559,181,706,636,
210,930,456,563,237,974,692,218,879,754,569,563,059,364,605,128,504,332,513,
237,999,845,240,110,071,371,048,449,179,779,758,875,265,986,252,502,861,781,
107,262,847,542,578,402,144,686,014,574,443,497,317,920,756,332,702,061,736,
610,449,281,883,239,301,954,990,870,379,869,248,307,906,529,658,339,717,876,
647,229,414,539,433,231,590,264,776,796,737,025,834,555,265,528,389,217,462,
701,666,290,531,085,589,800,581,646,352,389,570,465,732,716,446,235,637,771,
172,039,377,760,138,795,502,427,325,928,245,838,089,984,845,966,175,429,448,
528,838,792,778,400,860,920,658,149,338,729,906,282,752,962,380,459,383,285,
360,726,910,406,746,041,629,622,326,391,277,091,487,687,250,456,056,768,809,
110,560,627,054,103,005,823,724,105,905,754,700,634,137,501,562,280,286,193,
878,908,931,827,191,045,481,514,369,136,189,963,380,691,144,848,603,968,149,
421,355,608,417,888,602,980,827,125,862,654,859,876,309,478,155,957,262,124,
119,242,621,562,873,684,419,627,569,269,512,298,698,657,147,681,657,610,093,
012,675,462,967,970,931,222,922,545,796,034,501,515,252,138,836,938,529,361,
040,021,548,663,491,421,691,991,907,247,108,167,987,903,868,441,968,110,595,
456,616,888,336,947,011,541,022,709,629,773,979,179,806,616,757,069,692,922,
454,459,864,958,776,782,528,180,887,380,960,094,266,923,405,829,301,918,016,
870,870,093,754,697,255,288,471,518,155,004,759,972,993,090,318,890,742,484,
372,471,226,323,285,613,921,744,185,886,474,969,952,844,672,822,834,062,567,
722,890,967,415,042,202,662,454,934,184,533,280,903,273,613,215,381,638,046,
166,325,911,755,422,523,853,997,250,833,979,297,519,332,189,631,468,937,247,
156,300,104,918,157,111,102,362,508,921,626,412,946,187,950,240,004,921,533,
513,687,175,706,374,944,726,449,487,338,607,103,582,900,520,965,338,165,731,
068,247,663,661,035,696,434,427,138,415,249,967,319,858,897,731,966,808,207,
475,664,112,833,306,258,063,356,713,347,881,008,428,426,398,700,330,446,180,
625,224,384,920,589,303,599,256,483,139,042,083,336,691,481,185,656,148,991,
213,742,306,581,515,882,203,275,946,677,759,750,159,009,027,047,576,111,318,
610,031,078,181,665,632,697,011,377,896,859,451,602,837,245,249,511,427,726,
126,178,290,952,691,554,005,786,001,994,710,197,642,963,830,029,752,616,928,
056,340,396,606,721,577,263,689,479,533,931,304,799,097,845,179,890,940,056,
415,361,990,803,273,366,584,540,453,319,112,493,597,862,860,533,430,706,481,
529,530,190,734,955,649,286,837,816,617,890,966,711,025,633,182,737,936,247,
732,687,809,692,214,203,905,317,948,473,126,689,314,713,677,174,145,461,339,
315,289,930,031,537,709,577,661,242,588,645,617,768,280,053,318,615,204,925,
125,824,447,872,268,723,089,542,624,965,523,327,286,164,857,175,384,307,746,
840,149,196,655,088,282,582,358,831,573,084,117,410,828,023,605,233,835,682,
039,390,065,980,418,085,627,049,079,705,940,103,542,888,160,121,772,289,031,
910,215,619,362,944,003,016,834,868,584,450,101,874,983,397,258,715,850,263,
450,764,675,862,271,952,097,582,965,939,013,054,804,786,684,321,837,219,341,
074,377,073,862,770,163,151,279,403,458,767,239,683,835,818,653,866,825,728,
929,719,210,241,453,415,024,073,171,945,226,337,443,639,981,768,641,836,161,
605,946,980,582,620,986,943,426,000,140,764,849,141,621,168,704,060,159,769,
429,021,569,096,244,588,175,688,592,814,270,799,609,379,458,193,225,659,033,
528,040,070,561,168,308,385,000,258,077,831,395,956,595,303,271,505,131,711,
318,066,737,525,537,501,228,061,328,726,645,952,277,448,225,447,938,917,225,
960,145,544,239,574,136,357,190,297,976,928,695,605,189,217,094,623,595,561,
383,799,159,943,103,412,355,998,733,865,132,762,864,057,609,285,439,630,694,
803,471,434,836,330,476,472,992,385,583,151,694,047,713,812,278,788,474,382,
600,572,877,436,274,218,387,802,620,983,762,466,650,512,422,982,322,245,440,
636,683,216,508,808,288,493,256,783,962,928,629,823,408,311,607,954,240,121,
100,694,124,461,298,284,390,023,055,672,143,683,788,790,875,972,059,557,522,
925,746,121,413,194,657,021,344,002,729,439,678,727,221,828,087,578,317,574,
531,634,942,198,152,088,086,846,837,987,290,144,701,484,599,420,890,637,085,
638,161,949,636,107,910,757,970,948,597,779,224,353,520,743,996,015,395,996,
844,100,206,207,151,946,367,748,050,981,607,362,628,083,090,176,566,721,756,
782,578,232,456,849,507,897,658,826,432,343,972,185,274,859,069,954,685,302,
602,898,977,212,996,708,790,575,963,613,129,476,687,548,426,981,287,248,644,
407,006,177,034,527,533,017,347,996,133,969,428,630,267,615,854,391,443,131,
642,340,444,590,713,380,607,881,259,745,889,166,199,366,704,793,671,576,621,
442,181,501,161,119,143,252,900,027,688,940,164,099,358,047,615,015,871,908,
516,140,767,342,366,486,435,041,074,012,816,903,418,181,365,679,010,441,680,
952,728,696,242,938,884,397,857,236,873,362,659,085,323,917,755,653,227,980,
554,525,221,006,351,572,384,021,517,105,350,450,465,740,172,995,501,133,134,
288,599,446,378,397,576,174,851,013,656,467,712,581,250,503,661,188,598,273,
768,789,304,749,775,033,418,957,242,410,461,883,201,480,094,947,006,229,693,
483,905,216,940,412,274,575,861,499,251,965,769,534,072,867,075,712,645,643,
468,918,313,666,600,171,620,711,414,824,659,406,004,770,705,602,794,197,887,
608,846,993,151,960,564,578,117,423,064,077,832,558,024,021,769,099,519,935,
118,973,678,717,780,489,843,003,676,215,500,617,734,173,152,037,778,893,504,
754,623,394,632,451,553,718,581,949,267,513,578,095,099,763,932,365,726,457,
646,064,036,146,282,730,494,805,747,635,086,614,984,442,375,609,550,682,226,
370,826,051,146,785,188,859,893,767,495,392,458,650,583,604,911,784,446,666,
411,426,763,700,133,445,988,151,609,551,558,039,808,549,037,933,226,258,071,
674,140,005,302,640,705,914,035,173,995,404,294,465,420,414,236,655,103,674,
129,062,564,763,973,855,663,852,540,393,146,391,102,731,723,534,995,771,820,
628,453,101,401,941,825,389,234,588,750,659,652,125,470,655,687,570,477,201,
855,491,172,168,871,456,322,162,275,588,313,743,072,429,035,629,546,806,704,
588,819,864,150,231,230,143,894,835,411,974,516,156,872,597,574,506,381,306,
717,386,422,550,419,951,013,223,976,304,044,395,616,259,797,020,574,011,412,
910,177,890,123,806,470,372,891,626,606,315,089,652,035,112,136,017,124,247,
523,224,801,958,114,673,091,018,263,358,067,376,036,987,373,393,361,885,752,
930,881,888,308,773,091,949,972,681,035,029,492,419,486,370,754,564,855,871,
830,022,553,152,916,947,889,683,185,967,046,453,532,361,988,888,402,399,270,
724,478,633,158,359,671,099,176,059,502,860,134,101,438,198,213,813,897,541,
505,405,506,351,630,796,993,486,105,958,310,604,107,984,272,482,008,349,247,
364,697,109,997,132,781,084,053,288,156,994,627,703,576,604,288,580,393,440,
488,449,431,965,284,218,705,604,655,119,306,857,933,006,807,477,389,127,531,
414,489,865,421,082,072,225,474,850,103,541,454,195,826,450,777,436,945,427,
500,587,280,591,757,174,357,514,937,127,620,137,726,639,720,917,548,273,892,
626,423,247,199,357,487,735,353,151,114,605,733,954,815,206,371,795,410,165,
773,494,255,373,013,122,059,223,091,282,612,490,950,224,122,346,467,443,147,
637,971,013,516,692,000,444,796,741,399,452,889,370,447,092,522,059,347,713,
376,843,322,650,615,406,824,763,267,128,207,781,420,029,671,814,138,319,790,
619,510,565,836,229,516,652,397,101,349,693,914,565,211,804,581,735,925,343,
170,095,652,318,002,926,879,979,888,850,373,141,463,552,861,632,444,935,492,
168,559,842,731,042,548,642,831,814,490,238,389,707,528,068,041,546,181,271,
485,190,873,361,383,084,971,726,616,619,773,801,475,174,848,725,323,318,112,
983,915,260,568,985,867,906,501,540,891,936,124,758,521,821,610,452,556,006,
189,337,658,341,717,478,020,570,615,190,862,201,458,778,587,498,675,414,635,
127,551,212,266,979,441,175,264,825,073,674,325,855,044,196,450,859,793,750,
831,002,692,467,300,312,162,165,495,892,043,479,716,551,063,426,623,655,366,
316,364,839,152,654,474,306,404,037,678,032,564,604,768,702,592,710,927,509,
396,255,433,817,786,629,634,680,585,182,275,478,378,752,149,272,317,578,334,
038,216,020,461,970,916,493,655,608,382,670,317,015,653,850,813,311,699,407,
268,091,888,480,840,771,785,618,216,481,584,047,256,242,514,659,493,272,290,
265,074,547,466,195,580,311,594,234,060,794,000,246,696,488,178,582,191,865,
482,546,127,339,176,316,406,305,280,423,919,744,644,644,986,120,173,770,988,
710,648,028,618,444,147,683,300,800,461,474,608,139,428,749,570,501,180,658,
948,941,709,079,668,263,069,383,096,375,113,936,194,599,323,665,805,614,534,
533,337,706,104,140,303,831,318,413,682,834,239,258,564,637,000,613,180,689,
313,738,631,931,663,214,473,914,186,141,504,173,569,976,243,122,480,238,170,
936,490,579,893,103,241,985,466,611,042,924,655,351,497,300,584,378,524,731,
046,179,763,476,608,917,855,014,832,556,850,294,895,168,416,800,588,634,265,
928,591,019,120,028,254,791,499,742,208,046,810,387,158,169,084,998,505,654,
757,444,859,226,250,841,674,989,113,661,454,529,858,959,600,031,983,312,199,
394,157,547,579,904,962,357,276,024,208,242,360,924,467,272,159,791,397,764,
519,929,729,680,926,063,875,576,329,978,230,692,233,420,243,032,117,865,181,
457,725,549,984,342,857,353,222,137,444,592,662,900,708,196,510,224,520,605,
091,411,587,558,696,693,502,324,404,833,904,754,792,294,120,172,505,433,613,
686,128,107,162,084,832,844,531,326,947,244,430,370,342,791,358,583,421,769,
711,860,984,650,480,923,128,263,347,532,105,298,293,942,134,500,828,715,002,
945,679,169,301,698,106,565,541,460,940,403,848,338,962,265,396,379,805,142,
400,492,776,013,503,630,077,096,726,481,079,964,562,029,446,341,814,696,621,
942,690,669,495,384,549,599,008,757,269,849,348,542,431,907,892,156,452,563,
197,433,500,398,601,815,444,933,634,504,292,618,814,527,491,856,060,208,025,
771,216,387,228,407,653,623,767,164,078,242,788,984,452,942,465,248,018,839,
964,977,187,389,998,724,417,688,927,724,603,149,273,523,742,422,586,362,303,
075,813,993,726,843,974,721,793,183,915,267,520,723,632,623,112,210,091,807,
827,593,941,646,833,298,029,696,193,751,977,190,144,358,203,596,482,372,622,
478,688,609,263,390,223,456,206,403,218,920,495,182,965,772,285,508,874,951,
290,721,391,491,571,475,375,657,566,149,898,988,102,648,254,153,816,297,233,
687,767,686,529,146,732,947,706,953,813,810,382,388,987,176,575,888,048,795,
603,006,627,119,911,538,696,591,278,255,565,617,938,827,305,027,312,658,625,
750,140,405,242,836,771,805,924,234,896,643,907,918,153,151,978,110,957,681,
671,572,629,486,693,974,643,355,213,315,398,586,989,637,615,393,362,167,943,
664,153,772,593,175,810,612,074,078,884,630,457,759,506,026,362,714,715,453,
998,749,170,792,763,017,660,891,561,022,829,727,652,841,932,004,971,358,599,
741,618,984,557,037,061,615,073,426,786,984,472,730,560,311,113,398,899,159,
184,802,462,700,015,132,650,946,199,473,294,860,609,634,062,351,988,659,495,
638,516,275,597,131,150,040,748,660,369,982,022,623,676,505,135,665,818,164,
684,835,830,085,267,480,515,911,013,416,461,362,691,641,926,533,837,120,711,
953,906,773,482,344,145,472,802,175,171,762,594,389,997,344,510,508,523,283,
590,387,054,360,593,314,563,671,244,650,512,210,708,162,799,269,731,492,637,
668,116,709,921,656,208,244,340,797,506,593,086,235,046,582,944,432,367,634,
018,553,921,517,513,427,073,754,044,431,280,466,922,582,242,910,439,508,719,
839,402,162,399,645,986,523,804,427,005,769,980,452,688,667,591,096,106,107,
572,459,450,242,023,952,323,489,422,427,273,404,010,654,386,079,642,290,353,
892,546,328,692,253,321,072,825,141,426,966,196,136,027,799,146,850,399,992,
413,601,575,690,396,663,402,630,566,692,616,111,754,325,406,360,491,989,548,
994,717,495,229,279,229,923,833,487,620,501,044,953,655,138,158,653,803,600,
993,439,082,721,914,953,052,710,139,152,048,380,678,812,802,102,877,379,930,
894,388,336,925,550,353,278,592,088,791,367,737,592,662,304,858,248,971,146,
646,231,964,397,710,228,479,824,537,208,813,676,010,327,726,117,100,573,230,
748,599,383,289,327,403,505,896,663,518,623,885,480,883,793,628,784,516,359,
609,918,253,687,713,054,588,109,293,487,866,919,092,255,834,771,898,833,973,
737,272,196,763,372,712,343,894,430,563,862,975,752,024,745,185,990,499,428,
445,730,538,584,997,570,966,307,716,240,720,455,840,307,791,805,755,942,637,
099,266,726,063,757,230,061,181,902,846,218,246,826,103,675,646,163,492,772,
968,663,332,443,476,170,936,533,703,266,372,798,857,417,734,474,737,893,710,
057,087,942,974,404,544,394,742,330,906,014,344,551,261,515,460,425,136,525,
206,168,661,082,681,072,081,356,480,255,986,046,731,009,231,555,857,144,216,
188,004,182,154,595,466,294,949,720,613,545,309,064,790,871,072,019,208,612,
490,538,155,631,594,084,675,644,455,807,662,292,851,035,238,297,561,064,229,
974,883,299,998,608,905,661,548,776,355,620,982,408,294,089,666,296,779,237,
965,384,066,201,849,100,601,283,600,024,481,111,758,796,674,503,964,305,472,
237,340,438,729,865,746,501,999,660,205,558,682,167,984,789,165,328,343,721,
985,447,035,686,142,801,866,592,920,889,418,781,500,370,104,694,091,546,960,
064,059,585,448,701,969,752,875,040,988,570,746,649,161,538,074,861,036,082,
351,154,814,386,526,378,672,159,357,995,412,880,025,580,492,122,128,553,804,
831,588,027,315,475,612,058,785,517,836,224,716,181,775,780,612,169,230,651,
151,215,916,584,853,743,624,756,715,132,615,642,354,736,305,496,123,023,904,
455,443,088,155,458,227,251,705,936,915,418,404,010,311,211,926,447,560,711,
917,382,501,058,559,795,685,152,874,941,913,460,841,888,491,817,063,289,011,
476,533,988,462,442,758,041,175,786,787,468,179,424,422,465,996,886,146,351,
877,403,827,775,082,159,636,752,985,701,173,611,192,444,799,128,179,523,415,
048,793,098,168,032,425,299,065,113,916,944,827,278,647,775,537,098,029,644,
232,687,585,428,196,769,254,453,453,743,999,868,794,544,505,865,785,709,270,
821,646,860,760,887,961,550,463,542,310,101,424,506,730,270,601,469,947,178,
927,056,796,924,700,828,324,572,741,974,611,991,359,519,152,028,841,398,985,
146,150,588,017,676,942,841,454,434,960,125,044,188,350,307,577,232,552,611,
671,292,602,470,076,903,801,665,041,891,546,982,439,337,433,614,336,355,165,
258,188,677,645,801,040,903,843,681,758,880,570,412,817,277,549,317,120,091,
555,163,417,143,170,175,846,704,132,730,217,930,922,285,241,506,306,743,202,
163,956,130,801,974,841,545,496,081,667,568,792,583,337,444,885,163,662,572,
898,441,049,139,846,497,901,725,813,330,868,257,212,121,981,478,251,048,219,
275,214,589,343,127,681,746,484,271,173,616,728,927,582,822,449,603,878,938,
786,702,760,869,729,518,941,139,227,216,937,671,924,531,679,238,653,924,345,
604,662,315,365,589,222,996,409,910,233,318,269,318,676,199,084,754,708,079,
795,475,671,817,831,168,503,802,307,199,990,426,798,108,214,856,294,660,143,
578,318,450,494,266,774,386,846,663,621,238,347,127,290,250,132,037,335,739,
688,044,402,215,017,106,108,240,844,139,343,774,704,321,373,953,367,031,872,
311,232,161,898,434,697,794,885,025,190,016,482,742,674,533,997,873,609,884,
042,418,428,606,069,694,203,411,305,792,380,568,376,154,964,437,747,893,705,
530,538,517,375,228,087,382,134,801,787,827,629,365,953,244,061,025,417,363,
888,172,461,971,708,694,688,724,573,094,372,620,446,823,636,772,787,903,833,
438,943,996,464,710,374,041,926,285,529,518,568,604,333,222,738,149,634,931,
381,601,008,163,620,964,717,648,178,182,597,066,925,148,057,776,083,528,387,
807,768,498,181,026,658,419,877,970,546,759,245,472,315,517,989,265,708,089,
438,320,984,562,768,596,098,457,040,345,223,887,026,644,369,427,775,100,302,
900,988,243,418,446,266,373,980,467,858,671,326,780,233,052,957,143,197,146,
272,254,071,554,819,632,372,016,252,517,031,415,842,478,658,781,445,949,397,
382,767,060,800,547,636,414,477,853,324,440,081,696,295,889,800,350,481,424,
855,510,503,083,430,381,143,662,354,746,718,084,350,350,188,063,031,146,021,
922,450,068,964,240,847,744,904,151,526,162,010,396,317,594,269,631,339,287,
755,369,835,196,164,296,075,641,700,896,191,288,136,030,794,899,270,913,041,
738,388,776,411,821,415,142,601,137,479,490,032,972,196,313,663,567,167,285,
731,430,134,854,672,028,759,070,952,123,005,358,813,113,206,412,858,998,577,
968,371,228,884,737,192,817,722,142,317,651,383,068,574,430,836,346,152,679,
120,622,398,770,842,422,559,177,619,180,678,971,097,882,458,174,903,786,590,
493,302,333,299,701,523,438,481,343,538,734,192,707,793,898,682,155,426,051,
501,450,646,692,784,616,812,793,325,389,211,243,337,460,956,516,627,644,347,
641,752,832,929,559,328,548,384,481,227,878,992,249,573,259,296,592,334,820,
787,433,725,600,886,715,209,394,982,608,216,446,291,910,530,238,957,761,311,
680,699,763,670,348,518,247,656,883,593,810,981,010,778,703,167,933,541,942,
362,220,599,184,845,029,616,698,345,150,278,243,285,816,286,972,849,770,270,
341,417,212,519,381,352,739,641,641,344,024,370,022,856,413,783,266,129,930,
508,775,986,907,126,106,776,478,766,024,219,089,953,828,755,809,735,804,609,
532,306,564,321,832,560,958,644,675,497,493,385,738,747,032,589,405,644,564,
592,987,417,308,784,742,769,444,322,257,232,851,468,381,037,786,186,240,918,
217,517,576,317,988,438,751,869,340,721,521,964,760,493,898,818,347,837,407,
725,698,335,048,769,427,134,466,530,918,827,712,418,330,526,085,771,159,679,
312,270,614,339,233,081,169,958,542,862,413,814,943,292,932,600,670,813,040,
161,618,667,671,299,361,179,190,027,594,808,756,816,709,084,639,455,541,210,
077,648,457,695,819,409,963,138,759,011,340,728,123,031,144,889,285,422,558,
966,388,559,616,409,902,923,506,681,690,750,628,448,003,922,089,766,129,342,
786,710,530,709,628,720,632,340,515,175,395,726,395,082,857,427,866,781,466,
049,836,503,393,334,595,739,227,994,560,779,043,991,239,778,170,008,798,433,
283,470,021,192,459,054,112,100,199,873,572,405,227,424,789,041,963,490,077,
877,648,889,127,646,399,594,008,940,500,816,431,154,251,958,545,040,283,006,
298,918,343,534,333,896,618,692,769,536,343,772,812,459,999,280,433,300,732,
296,686,180,256,765,481,845,479,533,226,594,530,748,542,242,296,504,352,624,
553,156,755,471,350,026,364,772,395,696,789,799,468,029,048,376,669,739,187,
720,423,872,921,981,109,210,625,192,773,070,459,050,930,926,692,245,520,071,
457,493,146,078,409,427,814,687,735,266,134,315,132,703,012,251,435,247,634,
514,209,980,380,111,636,415,636,018,790,667,944,187,521,032,186,328,029,747,
060,150,498,904,097,190,811,610,724,099,429,857,171,333,725,653,447,445,858,
262,775,380,187,036,886,258,328,520,840,743,302,513,139,725,230,912,733,029,
896,614,126,030,944,336,810,339,100,530,180,365,844,132,573,517,254,287,496,
794,834,329,505,858,334,905,125,554,206,891,812,725,482,509,181,898,627,924,
594,426,936,553,490,669,831,052,713,117,136,689,569,331,843,346,474,715,206,
263,012,906,963,535,996,564,892,883,652,558,835,485,224,416,621,995,072,102,
195,530,412,215,493,352,394,373,098,984,095,161,141,360,358,358,135,295,243,
827,784,415,688,268,448,673,074,872,709,542,295,802,803,719,667,460,807,171,
366,013,999,752,507,190,551,191,166,253,167,224,975,298,429,564,996,629,297,
095,955,636,136,862,264,711,285,827,838,680,615,984,813,106,487,391,246,096,
412,875,528,861,623,972,479,137,775,960,040,772,992,790,543,115,276,106,603,
264,734,421,151,801,462,297,894,894,616,561,677,745,489,103,202,196,565,861,
037,540,279,171,940,353,540,578,141,805,372,262,189,004,488,087,472,848,665,
035,763,561,636,035,122,741,888,035,302,925,210,360,675,366,572,573,403,565,
509,824,820,107,032,926,877,801,653,898,450,919,888,215,936,437,597,320,574,
554,431,190,662,902,260,218,384,245,347,653,892,248,680,427,274,641,804,417,
582,609,052,994,118,422,738,621,724,863,093,032,542,000,928,611,413,182,932,
878,457,152,562,303,358,820,197,116,343,938,565,839,155,584,652,639,623,915,
704,945,852,582,632,315,433,345,110,553,965,301,307,651,085,850,822,802,437,
711,780,965,177,730,608,015,475,866,958,607,076,567,825,996,739,757,409,658,
598,509,221,906,071,843,038,174,692,432,716,156,294,825,529,130,894,972,447,
330,220,802,003,414,613,628,518,999,915,984,592,980,031,872,214,712,559,335,
983,786,704,533,897,233,615,237,127,082,019,098,642,265,914,611,200,225,899,
682,852,395,679,924,369,351,144,251,279,718,982,403,791,312,831,700,805,922,
076,399,901,419,353,242,790,824,884,643,457,479,786,512,347,667,633,372,225,
266,368,104,676,242,895,977,407,969,201,926,346,780,981,916,411,715,736,714,
339,042,355,475,348,372,915,328,550,848,312,809,179,457,326,756,057,482,953,
997,531,415,069,060,447,294,521,570,585,476,315,267,510,307,645,868,861,414,
447,362,624,148,627,113,737,385,661,133,676,244,792,104,385,024,869,005,028,
718,692,500,948,920,828,193,445,656,652,753,991,091,165,539,988,129,576,326,
883,428,380,340,557,879,702,782,515,084,643,331,005,573,586,367,763,448,324,
346,838,211,346,586,726,566,134,358,492,393,200,728,473,304,927,518,919,470,
505,161,415,185,864,458,212,884,812,497,674,406,917,834,311,173,836,121,528,
892,585,419,290,763,223,313,149,773,937,844,731,967,801,689,624,030,824,584,
300,498,364,520,413,229,200,363,766,660,747,781,437,230,662,203,652,896,515,
036,498,348,626,043,650,592,489,426,985,377,638,043,369,206,845,704,837,355,
583,162,316,771,942,649,003,353,393,807,224,080,929,441,081,707,894,695,830,
060,679,766,018,519,111,871,131,367,623,150,452,003,440,104,449,113,413,949,
156,598,444,261,497,172,878,810,983,057,937,331,357,007,557,881,982,825,674,
410,986,254,467,135,048,880,685,552,484,006,068,893,935,906,918,509,305,611,
266,431,444,757,764,220,733,197,850,439,237,045,018,926,762,062,202,206,167,
311,663,604,955,835,467,081,576,254,112,371,046,950,781,126,391,108,446,535,
389,077,825,393,903,826,608,330,644,628,663,648,956,573,778,516,708,095,042,
854,452,094,687,654,484,909,223,746,427,005,805,355,497,186,038,880,414,710,
168,701,430,712,696,325,242,494,102,094,391,998,379,873,109,179,823,165,506,
611,192,311,517,541,240,000,262,381,194,127,877,006,336,392,461,954,809,592,
130,184,662,605,294,549,858,143,635,811,682,942,246,912,192,052,705,117,866,
520,520,353,840,377,898,015,970,796,958,781,933,511,076,812,066,024,242,368,
405,985,294,067,850,729,354,673,739,492,034,895,384,996,878,698,104,121,417,
325,384,359,671,779,186,080,947,767,803,868,528,453,960,898,453,975,603,096,
115,698,496,555,248,671,078,581,957,303,660,742,356,442,953,893,954,979,353,
801,781,398,272,274,451,999,694,107,338,105,244,947,671,650,438,550,131,664,
239,846,168,167,465,842,483,794,402,627,357,240,443,517,989,080,620,178,584,
520,847,023,580,950,390,787,435,508,823,799,940,980,440,630,858,349,291,271,
877,984,638,302,916,867,515,914,940,054,490,841,253,624,125,588,349,236,910,
883,177,240,120,934,975,791,401,961,167,725,931,530,726,678,521,757,319,907,
214,310,291,792,714,931,534,746,086,004,867,718,813,914,312,722,566,279,232,
363,905,066,410,140,499,889,417,235,745,913,414,244,133,152,408,060,144,316,
396,430,962,536,578,853,033,611,237,522,027,198,045,086,591,019,742,039,077,
373,186,793,514,747,703,912,730,220,555,508,607,914,166,009,934,968,563,641,
804,090,497,925,949,405,503,341,957,857,226,117,171,707,891,982,730,735,946,
928,648,940,811,950,856,509,610,781,528,182,659,709,140,749,874,726,583,310,
543,927,529,206,488,060,219,752,154,238,972,622,085,768,038,523,916,170,021,
978,448,902,416,779,206,379,948,055,455,620,162,538,509,332,581,884,420,151,
021,624,198,573,561,020,594,961,973,548,544,930,392,801,806,978,852,672,479,
535,020,701,998,915,714,662,602,027,170,612,351,674,671,132,445,962,863,276,
462,464,695,403,673,049,546,326,320,661,147,415,968,151,305,696,625,447,289,
827,844,711,175,720,503,145,801,661,226,287,875,432,789,180,890,904,408,873,
022,523,886,344,731,241,086,757,754,846,259,649,672,095,686,926,160,063,383,
603,405,984,345,947,331,247,143,476,818,245,253,837,804,767,182,841,712,033,
879,338,976,942,523,104,148,933,762,205,426,095,564,774,349,273,009,456,615,
400,097,832,302,975,419,139,065,210,706,789,290,577,835,079,750,432,741,212,
908,314,604,845,798,336,524,412,868,193,324,810,772,685,929,279,050,471,077,
754,865,933,549,757,109,171,334,120,640,384,233,504,461,250,018,270,507,826,
559,352,959,005,888,564,496,758,548,151,452,658,055,925,942,683,779,334,441,
968,668,757,055,977,839,919,308,554,640,319,569,299,643,827,888,456,310,744,
065,392,118,943,627,670,124,075,472,187,406,838,868,545,686,201,417,680,062,
085,332,247,417,074,825,306,385,972,524,907,888,736,500,690,660,582,970,411,
555,596,194,953,800,728,044,322,140,151,936,571,636,801,717,300,522,971,520,
366,915,030,907,906,381,223,103,499,195,192,199,426,389,647,943,515,759,840,
566,151,684,773,581,523,584,605,823,795,554,407,972,687,245,657,879,461,233,
876,812,490,091,413,092,829,411,010,583,674,251,806,393,954,736,807,695,669,
639,505,765,923,457,006,296,059,643,064,609,651,127,268,825,839,394,364,310,
699,387,461,490,762,228,648,321,902,643,562,850,853,200,551,906,867,026,033,
640,226,798,723,589,575,403,657,775,885,245,754,630,744,827,951,117,994,379,
556,125,914,221,795,073,160,971,201,223,871,459,058,495,400,217,473,409,863,
337,127,052,174,938,421,587,996,072,258,260,150,527,719,172,452,756,690,773,
704,540,257,172,462,523,217,644,540,073,948,016,565,218,437,943,176,411,468,
791,300,304,565,360,966,508,326,388,389,076,358,858,175,757,594,178,671,404,
508,594,278,614,021,614,011,238,010,682,986,552,870,787,417,886,817,204,807,
840,629,970,369,089,704,453,639,723,399,588,609,336,648,661,147,628,903,950,
678,388,349,016,307,983,590,456,951,569,215,366,147,921,678,135,790,514,834,
954,387,863,686,828,992,081,630,355,205,817,870,577,339,563,415,685,253,161,
711,403,675,879,723,540,752,173,407,357,402,842,606,866,053,642,362,691,523,
548,546,345,284,438,123,503,894,659,281,114,689,367,451,843,365,587,034,077,
832,707,854,814,973,902,473,784,184,444,168,140,204,504,588,063,781,333,701,
489,195,497,945,761,338,277,203,368,701,256,793,889,714,968,302,341,638,554,
346,174,691,268,528,867,648,157,541,888,117,102,962,342,521,600,530,676,953,
610,644,437,327,054,279,349,168,361,656,214,029,720,713,154,638,352,197,029,
881,889,735,471,296,652,520,629,084,992,729,260,538,262,508,447,112,410,061,
728,389,706,928,411,489,050,239,834,907,962,498,408,068,297,502,110,368,148,
675,105,663,135,558,698,195,857,861,188,229,504,972,884,939,218,548,876,665,
342,058,558,357,240,868,995,521,754,480,695,964,488,728,429,013,132,064,964,
568,133,712,085,479,615,283,846,695,302,968,200,498,585,504,694,390,952,691,
693,185,712,524,763,974,772,030,434,730,936,170,485,595,199,573,139,582,930,
882,314,165,512,088,826,658,804,115,080,948,228,887,723,544,491,684,259,622,
651,189,386,119,200,137,106,272,027,543,842,733,987,482,784,016,946,940,205,
260,264,907,331,040,600,691,869,792,626,174,425,157,868,754,152,397,459,107,
856,534,124,882,933,404,215,083,865,600,326,680,408,035,583,916,002,811,802,
440,482,849,108,824,481,627,243,049,206,535,794,078,299,833,919,365,984,110,
206,384,553,593,768,443,348,945,288,856,449,894,904,829,403,921,133,329,095,
162,349,193,761,233,774,742,900,411,583,639,178,839,942,790,198,647,151,743,
263,588,719,171,425,503,299,480,421,570,711,142,810,479,903,279,422,635,649,
133,668,336,820,340,118,837,245,635,830,507,254,602,738,580,049,526,130,426,
659,565,311,763,064,293,551,947,837,185,306,394,878,381,221,653,186,825,882,
139,309,285,997,739,424,083,206,773,261,274,480,727,852,893,727,083,553,973,
151,109,316,028,653,182,988,612,798,472,094,310,113,065,114,346,671,025,538,
048,778,708,134,249,555,692,198,445,305,962,015,729,442,244,895,174,230,172,
369,720,203,853,500,735,855,698,676,561,381,101,132,060,905,228,469,164,713,
654,090,673,605,509,233,275,539,686,761,898,822,721,025,967,252,179,639,605,
564,693,750,991,963,897,201,764,193,220,015,630,487,389,836,536,405,491,490,
091,125,247,403,133,976,163,220,087,079,248,535,799,579,458,605,970,596,187,
303,534,487,184,748,193,695,604,475,813,256,268,449,127,197,165,903,953,736,
067,002,806,060,981,363,753,888,954,274,578,608,030,736,714,407,483,276,468,
521,517,456,766,055,810,350,697,143,762,986,528,809,707,070,670,982,830,148,
328,959,420,418,731,534,178,513,527,588,162,040,056,226,789,651,530,638,567,
810,839,980,380,483,190,538,515,015,163,179,977,739,809,784,503,621,194,942,
395,946,802,783,111,983,506,911,005,123,184,697,950,914,246,925,291,588,048,
095,951,611,020,793,638,815,744,836,455,522,529,069,866,977,180,306,089,580,
715,579,366,237,593,339,632,701,529,572,201,670,283,945,722,050,084,483,426,
233,431,002,867,238,082,285,266,327,342,695,350,574,989,570,885,707,320,403,
284,858,551,826,538,208,020,723,526,497,379,835,088,212,389,784,553,330,349,
020,977,356,311,282,922,107,333,126,691,474,272,691,083,635,674,789,945,465,
272,094,543,817,280,049,597,750,911,810,930,374,525,978,499,625,135,574,937,
533,941,817,103,995,758,477,396,247,684,907,642,875,325,832,127,122,067,646,
746,038,221,068,500,244,671,296,264,508,034,577,711,854,985,943,819,962,255,
021,425,849,438,605,289,315,608,753,358,762,866,184,451,447,738,617,241,943,
843,686,972,342,748,536,987,876,208,760,012,095,301,039,785,461,737,409,689,
885,236,432,097,547,436,171,631,807,397,830,316,344,478,669,870,871,164,243,
964,903,964,505,053,236,020,619,763,062,544,126,194,739,422,744,143,557,671,
766,841,097,203,168,057,976,188,409,713,589,912,699,874,866,817,501,835,411,
253,320,357,300,956,637,505,634,764,509,797,040,569,884,314,481,553,217,620,
413,939,505,689,255,969,016,422,596,058,393,539,531,706,023,706,930,093,888,
769,034,648,177,583,120,182,200,232,397,914,882,306,199,260,750,642,430,119,
883,368,933,560,118,592,986,717,401,309,588,954,803,204,832,521,741,694,409,
626,571,918,443,116,079,295,974,517,108,589,352,340,619,899,935,285,087,545,
557,063,302,296,968,289,450,516,752,995,980,212,157,165,020,234,304,202,121,
051,185,967,170,503,244,091,829,433,394,665,629,311,286,693,890,444,256,558,
241,199,611,455,591,591,049,163,505,707,718,142,639,866,284,467,439,030,854,
671,078,308,822,768,131,359,435,951,039,683,212,972,944,976,552,547,499,638,
248,106,292,811,467,251,038,375,298,569,191,593,751,056,214,010,409,017,963,
502,365,870,982,160,995,974,378,591,298,872,259,420,108,166,223,909,330,412,
165,077,196,927,167,528,018,753,644,879,101,830,217,936,156,713,928,672,914,
620,865,776,538,044,462,620,259,830,758,866,183,225,270,338,367,965,534,672,
602,738,460,137,077,436,888,759,374,359,533,639,453,016,167,673,553,469,663,
607,214,609,277,221,579,779,262,194,198,648,042,087,130,059,814,539,193,607,
067,338,453,124,879,349,690,623,574,660,504,450,114,368,421,177,880,808,458,
738,306,305,228,205,742,776,118,546,923,272,691,418,383,159,142,079,689,225,
408,427,131,495,254,449,934,879,866,504,258,186,407,107,763,769,807,827,568,
014,391,941,056,621,786,612,346,709,549,510,484,195,046,621,431,257,511,662,
543,662,231,478,966,583,227,765,035,015,869,510,562,316,159,127,489,555,140,
953,561,017,458,655,949,365,022,909,947,808,450,336,093,382,780,416,571,297,
913,158,229,390,306,938,004,967,704,215,186,516,473,473,596,332,818,101,318,
944,342,650,011,187,306,568,181,887,884,523,021,576,501,351,704,224,761,447,
236,944,698,591,312,309,942,182,430,541,289,310,677,483,476,652,330,591,117,
393,896,654,499,675,541,565,305,004,480,615,007,415,125,727,346,573,003,566,
398,415,335,851,335,121,841,726,041,500,494,399,971,633,203,377,353,656,300,
557,076,533,202,349,170,225,485,345,967,313,608,067,762,796,499,329,715,113,
289,515,097,851,309,360,126,133,930,609,127,549,981,990,591,474,234,456,872,
417,627,255,591,500,066,207,964,710,822,392,007,252,569,381,435,447,585,581,
562,871,990,282,172,610,413,236,297,877,652,030,240,685,600,004,641,981,583,
614,081,014,922,715,880,734,698,620,174,640,403,083,277,960,788,157,860,373,
632,439,442,381,472,669,600,231,998,451,882,980,145,847,141,263,507,153,899,
588,239,202,126,463,701,206,879,895,638,424,155,301,093,479,166,042,545,527,
768,174,200,901,255,301,950,648,294,053,510,758,607,237,800,162,917,620,216,
607,116,793,349,381,538,947,426,177,525,253,938,954,109,746,254,817,054,068,
274,888,264,743,645,589,484,871,437,197,262,082,178,516,223,313,603,907,947,
893,704,437,135,114,427,991,680,564,580,752,113,218,848,179,062,469,088,197,
885,696,589,161,411,545,236,057,465,138,506,810,241,909,501,558,689,899,211,
242,722,578,613,209,714,795,443,218,145,522,689,367,258,308,625,045,108,090,
237,225,320,372,759,968,229,614,874,007,691,915,353,294,620,675,827,657,909,
984,700,534,681,108,969,288,790,324,840,466,878,052,912,484,103,548,271,227,
536,414,275,957,990,368,337,528,502,248,437,406,528,918,522,137,537,268,899,
417,756,929,090,328,903,131,653,711,694,528,834,839,895,409,336,842,331,556,
586,319,193,267,776,275,530,910,740,024,517,581,158,291,949,897,329,507,332,
670,476,431,640,422,466,925,951,150,111,735,501,235,915,492,502,916,183,825,
326,981,348,239,907,821,325,348,546,392,353,889,635,760,441,776,687,147,931,
362,478,846,992,965,077,645,452,722,374,125,086,392,199,903,360,600,242,783,
771,874,719,869,671,977,229,593,425,510,385,184,298,882,181,897,546,288,437,
217,171,212,864,833,872,673,441,307,158,865,738,291,570,884,601,947,047,162,
303,832,057,797,074,518,266,080,666,269,220,026,779,770,623,402,959,405,690,
847,973,557,065,081,510,287,471,844,482,344,155,980,439,346,233,161,019,111,
304,664,279,150,713,524,247,416,935,300,148,032,433,695,595,883,661,829,266,
704,119,299,284,501,501,627,587,007,549,671,530,505,127,909,441,772,549,261,
877,252,137,141,074,051,122,890,493,016,913,122,818,186,682,917,932,254,395,
333,490,680,642,344,159,857,534,887,030,244,881,069,649,870,323,429,668,240,
350,906,050,054,069,148,889,776,200,127,718,235,221,836,207,321,698,694,982,
673,517,613,778,381,163,458,149,212,557,508,563,777,567,724,663,219,142,451,
357,149,622,426,868,684,250,548,395,272,094,150,129,959,120,807,624,022,551,
686,448,771,496,838,166,620,968,663,019,097,423,742,402,747,304,517,667,180,
735,276,993,036,088,852,624,420,579,471,534,703,517,367,531,698,713,183,375,
243,722,961,550,799,553,700,215,179,221,815,549,600,991,603,044,079,810,340,
522,664,008,439,936,361,883,328,461,428,161,165,022,693,930,114,351,253,828,
148,793,862,928,104,188,928,202,292,820,462,676,216,323,267,126,379,799,612,
935,921,292,989,692,857,027,906,557,667,216,454,347,574,492,439,427,594,640,
653,265,746,169,820,542,021,732,711,460,501,787,575,502,479,640,182,770,217,
653,202,241,789,543,381,412,412,111,080,197,459,554,298,352,810,894,702,471,
235,491,317,834,824,879,077,398,814,145,171,756,913,765,200,366,584,885,294,
567,004,368,702,730,179,897,277,086,432,457,864,291,638,582,976,508,926,713,
223,174,050,282,109,400,363,471,838,757,004,650,226,893,374,823,472,142,396,
045,030,238,674,934,328,007,192,989,069,019,705,698,482,378,179,546,428,030,
165,330,684,596,632,191,925,026,001,409,191,570,916,902,894,110,732,394,886,
091,983,127,401,728,440,789,765,452,281,804,342,350,361,204,212,803,828,477,
120,648,481,116,582,174,005,057,382,458,558,564,683,608,745,409,656,449,760,
108,673,004,481,069,919,613,233,396,552,224,745,156,471,641,410,717,606,724,
311,504,446,586,445,288,802,919,441,728,626,164,811,950,342,722,866,883,483,
086,023,256,319,030,218,621,043,613,406,300,788,732,416,489,488,864,629,362,
710,577,985,390,058,446,992,201,888,295,975,755,019,593,450,418,911,338,350,
471,365,743,518,927,395,917,707,491,614,581,188,641,639,809,652,077,679,101,
503,852,156,735,366,665,005,613,329,052,698,487,418,472,254,695,632,237,166,
990,185,220,570,761,341,334,608,050,988,477,114,433,235,441,104,679,025,721,
804,268,834,281,049,555,930,776,812,853,437,767,435,014,033,423,557,719,197,
258,530,923,128,463,723,456,247,668,956,848,222,467,417,445,160,993,416,666,
663,726,068,430,253,136,573,162,610,494,500,650,812,259,369,179,921,827,675,
533,194,502,844,720,846,660,966,079,890,267,947,332,897,389,822,536,388,911,
145,645,061,082,951,706,227,800,134,928,889,383,230,685,127,525,563,731,923,
648,401,155,888,577,632,448,661,368,300,453,445,908,075,124,934,452,314,988,
871,956,235,138,178,315,389,387,016,687,371,502,565,529,297,318,103,663,807,
609,161,304,370,917,413,923,098,066,584,326,080,799,932,481,898,502,453,003,
386,430,150,892,298,845,009,002,924,746,228,481,927,201,849,954,097,984,433,
858,258,875,266,814,591,516,142,523,957,229,920,476,899,305,888,392,374,624,
168,205,113,608,029,916,031,296,767,963,263,374,147,133,665,331,206,369,355,
527,560,903,891,205,058,922,006,396,722,397,905,464,343,697,124,330,137,144,
148,400,573,737,271,326,041,062,359,055,971,161,873,454,462,015,101,204,686,
130,096,753,205,288,189,538,375,228,671,999,433,634,672,475,819,965,359,754,
520,353,300,729,259,558,038,987,393,210,942,409,881,074,868,606,151,325,979,
893,435,283,825,233,861,270,874,939,220,945,620,084,903,076,953,695,284,066,
931,272,415,287,469,438,077,626,265,492,482,432,516,684,699,639,785,340,434,
374,526,017,654,824,803,963,617,411,162,256,750,105,061,869,159,682,671,888,
441,965,005,450,803,213,713,883,340,058,060,860,630,216,278,844,739,762,925,
651,596,280,298,424,887,815,722,724,191,776,363,581,898,334,643,837,408,381,
095,077,771,495,993,682,709,981,487,794,904,319,763,720,894,336,697,543,620,
268,128,403,059,875,471,440,865,718,794,495,299,723,121,313,134,360,880,860,
186,315,174,774,112,396,086,686,396,393,941,305,542,113,047,306,000,371,965,
011,516,365,174,747,969,873,871,501,579,456,640,511,045,668,896,313,619,842,
091,929,912,383,999,077,275,933,537,343,768,660,985,455,694,083,430,412,311,
768,235,923,180,013,408,546,595,517,536,333,964,911,868,266,660,776,710,060,
955,604,064,364,720,960,816,167,492,578,556,956,003,755,262,108,765,475,859,
418,237,031,685,563,531,518,140,639,726,610,169,172,301,660,420,562,694,425,
671,482,903,570,616,779,879,566,872,899,158,849,152,678,649,962,734,156,532,
505,032,312,570,572,067,329,191,586,211,039,856,622,209,587,664,099,063,220,
603,434,922,572,068,825,598,956,567,429,131,821,117,987,423,234,906,941,131,
180,964,008,609,463,173,410,672,776,797,713,708,885,980,168,341,844,158,635,
363,973,223,392,745,876,563,508,975,060,193,769,022,224,339,891,526,839,815,
110,616,890,287,893,173,590,020,645,514,923,103,810,110,547,143,361,783,997,
426,885,060,499,062,361,921,596,985,431,158,159,820,431,472,059,019,871,151,
439,440,143,719,333,189,895,648,750,585,386,586,863,312,632,431,104,804,328,
025,818,566,535,069,079,590,746,988,173,718,333,216,292,645,278,616,085,874,
791,096,937,152,419,729,587,700,744,052,777,482,287,397,856,886,707,855,751,
304,463,548,404,514,550,371,983,491,609,804,783,501,477,369,967,920,554,139,
473,630,990,674,850,714,912,767,294,563,506,756,038,325,327,111,138,761,445,
357,794,988,971,940,374,521,236,091,062,118,040,010,403,588,393,117,722,311,
791,179,728,844,911,397,820,432,677,355,010,367,409,822,676,227,254,360,893,
237,429,048,413,349,370,530,172,929,427,253,911,518,496,796,282,369,281,996,
547,260,889,284,703,017,869,353,412,585,258,069,825,487,251,236,490,007,079,
484,063,916,579,248,647,525,309,096,727,744,945,841,690,362,318,484,679,849,
312,793,813,639,444,182,653,568,931,343,893,548,424,069,268,293,787,198,856,
329,351,292,357,546,687,611,960,350,098,431,117,937,846,071,508,973,662,745,
871,116,874,639,248,707,682,465,953,067,738,297,224,634,738,258,437,218,104,
315,080,349,213,654,197,897,000,880,283,470,526,198,158,502,996,309,598,947,
921,678,038,675,630,615,874,253,507,502,724,955,291,364,917,873,684,254,009,
242,110,103,616,366,685,960,170,628,628,200,889,756,866,667,393,037,267,441,
610,950,301,125,792,640,289,867,564,664,117,455,457,937,629,946,182,366,168,
133,970,131,553,983,223,587,296,112,265,938,116,110,794,665,338,021,774,424,
742,972,720,947,851,577,666,089,962,306,931,548,817,941,975,520,301,006,621,
706,626,633,256,244,863,858,128,006,814,734,202,605,656,522,413,899,170,012,
933,007,832,689,080,153,246,726,867,528,798,533,535,734,845,771,415,428,717,
099,788,763,915,270,773,704,527,801,410,149,198,856,858,897,237,942,269,764,
955,946,659,458,713,211,511,422,587,112,200,700,436,101,118,283,982,722,483,
361,493,541,615,492,119,130,027,960,450,998,549,751,856,747,430,013,563,494,
696,211,939,033,224,951,773,389,244,882,715,741,884,328,169,938,367,932,503,
514,054,990,009,806,111,027,809,209,079,875,772,362,106,814,649,247,038,387,
117,348,092,602,216,562,030,917,756,684,662,208,993,982,484,104,622,309,952,
586,053,221,639,336,895,633,976,104,345,958,952,470,716,665,792,492,082,529,
118,705,486,719,463,515,769,883,559,857,626,679,580,398,369,346,835,281,896,
638,364,122,501,046,169,089,523,128,775,416,465,183,535,574,817,692,315,390,
237,906,236,156,046,607,561,861,131,233,036,449,044,534,611,269,378,125,285,
923,822,866,343,243,183,679,907,259,659,707,310,197,667,797,986,647,756,792,
518,371,030,077,265,844,488,312,175,929,515,948,465,802,418,321,677,467,836,
899,241,383,420,559,492,610,975,317,304,381,136,942,761,727,404,508,098,961,
298,525,876,197,071,930,981,296,324,464,948,842,997,732,514,061,814,194,891,
532,870,112,670,759,318,324,298,632,840,400,030,466,005,439,093,029,676,298,
178,069,945,639,524,285,717,188,783,571,656,944,184,660,856,316,337,988,779,
531,626,722,971,590,614,362,400,383,285,891,586,553,605,810,044,707,333,003,
765,971,841,516,263,602,802,994,762,318,699,683,345,711,903,981,613,164,426,
585,431,682,068,257,424,990,811,122,666,230,236,843,544,506,817,869,508,612,
734,180,077,779,740,758,683,738,942,910,761,387,142,318,167,408,463,473,696,
926,482,124,725,066,501,889,463,322,289,382,422,042,686,626,196,359,159,522,
452,702,498,836,465,554,119,626,571,199,490,215,359,341,449,154,217,036,228,
208,599,996,767,176,809,310,990,934,862,548,544,549,085,334,754,761,128,233,
120,082,037,838,055,098,928,341,805,297,034,465,564,836,238,710,892,790,187,
062,173,073,081,232,318,470,737,966,140,144,534,644,434,907,782,809,290,687,
638,097,529,150,941,331,720,782,761,012,759,161,052,330,921,044,120,416,918,
392,263,770,905,693,323,288,968,741,686,818,791,264,595,906,436,491,578,733,
703,924,447,368,057,017,228,229,835,858,617,949,637,072,292,671,735,891,748,
586,534,136,529,177,348,913,728,795,600,934,280,780,726,933,898,030,454,764,
833,676,659,089,261,890,428,752,290,938,791,744,490,037,896,235,296,313,796,
515,603,224,287,588,934,266,569,666,160,696,053,498,242,454,172,662,517,882,
020,441,897,046,779,180,249,423,499,342,541,099,623,625,465,584,660,617,664,
564,670,094,147,036,576,441,346,230,092,765,254,501,815,975,186,977,760,170,
140,191,251,606,691,968,823,061,687,526,080,101,653,165,681,871,611,621,765,
519,478,474,630,822,380,144,424,132,698,028,477,383,546,509,054,877,064,599,
904,303,886,145,142,299,324,828,911,229,610,951,475,217,004,373,999,522,255,
305,410,797,728,308,601,361,595,330,498,462,554,978,194,177,688,124,883,398,
105,913,879,340,997,478,878,643,755,735,684,386,032,270,629,976,355,372,541,
739,509,261,580,709,502,419,602,729,758,138,939,058,813,553,853,439,656,023,
900,649,195,833,313,705,833,437,536,239,266,026,132,510,794,497,735,957,711,
495,850,605,113,846,625,938,858,916,399,149,649,874,456,350,036,959,364,971,
436,679,577,302,455,959,747,549,816,298,129,548,843,358,829,849,760,937,644,
589,667,825,868,698,076,850,571,504,108,546,920,643,091,688,823,308,404,596,
552,829,558,697,082,723,318,698,243,899,401,984,940,829,884,799,330,536,152,
570,432,388,837,444,059,343,078,873,259,526,055,855,660,799,249,913,056,422,
475,855,903,443,010,601,982,405,061,100,204,941,367,294,707,214,780,738,966,
521,234,187,085,192,641,506,746,250,887,093,851,565,970,799,686,216,665,196,
874,662,626,804,640,121,095,916,567,382,765,035,637,049,369,721,704,608,860,
903,496,910,424,170,386,798,743,904,761,513,444,368,606,404,238,916,396,430,
636,514,505,235,603,269,592,071,020,943,388,110,250,405,304,925,916,606,873,
394,968,538,313,474,438,853,252,312,970,508,854,453,773,540,157,944,264,531,
629,146,901,319,579,354,346,145,399,806,326,992,692,774,249,529,681,335,303,
881,679,132,130,000,094,927,934,083,257,685,967,097,146,320,762,725,066,139,
852,766,478,976,248,547,861,188,122,117,200,454,145,651,139,709,704,416,660,
222,364,347,211,510,927,971,648,894,846,656,002,496,554,415,939,303,283,663,
587,141,806,150,571,701,118,148,497,070,391,406,529,902,481,887,464,437,708,
204,620,057,091,075,111,311,992,594,663,998,167,234,972,878,564,368,671,798,
231,417,856,333,179,913,487,406,971,602,138,354,695,218,177,582,641,700,950,
239,918,436,019,751,211,965,565,186,683,982,115,510,014,305,951,697,099,592,
678,268,076,075,816,023,978,259,529,790,133,118,633,699,799,376,226,216,907,
291,901,492,913,744,047,980,390,903,649,789,107,885,371,190,185,764,028,732,
538,102,304,292,892,259,729,469,427,124,844,847,352,265,679,532,576,409,922,
048,977,620,943,094,120,917,254,238,377,919,254,001,238,997,422,602,457,801,
599,754,597,492,419,750,576,570,545,916,507,598,104,420,387,747,340,253,851,
597,707,803,859,311,132,104,695,833,581,662,054,865,606,426,551,714,453,764,
703,542,763,116,183,687,449,244,278,959,802,971,149,585,507,729,122,647,865,
003,167,799,187,484,443,799,817,434,994,703,559,784,018,150,273,469,058,870,
149,453,014,734,483,041,939,777,979,679,925,748,736,734,416,466,926,555,777,
118,466,882,315,020,693,378,890,507,203,710,308,615,755,461,348,678,404,271,
556,424,375,662,188,876,616,049,161,150,721,102,955,644,649,612,146,745,084,
890,772,642,368,967,746,594,247,601,682,749,016,424,988,020,754,986,286,039,
212,063,261,140,471,442,951,866,288,592,620,306,321,135,811,591,214,657,897,
463,839,554,739,702,606,340,826,017,849,151,611,821,815,601,372,180,950,077,
057,383,680,869,420,589,085,697,688,810,503,084,579,026,913,453,834,052,458,
292,498,943,768,082,726,644,395,194,725,494,620,947,372,348,342,064,022,808,
183,435,933,507,278,438,501,442,486,028,500,606,109,998,255,149,955,530,791,
043,100,717,246,323,464,412,009,175,142,524,408,771,064,616,942,834,383,378,
882,079,801,499,060,355,160,233,683,255,368,310,502,693,759,075,213,213,289,
992,655,438,065,846,251,190,607,727,341,430,123,728,173,422,990,040,276,497,
392,116,359,142,866,511,733,120,646,144,824,377,394,259,775,838,637,857,473,
827,510,009,673,447,083,563,632,912,888,541,747,514,219,111,554,769,378,669,
883,152,037,837,515,390,863,945,284,218,427,692,064,416,069,512,375,997,539,
204,574,105,977,396,887,585,110,005,471,422,534,056,399,018,137,825,685,794,
959,178,115,642,804,877,397,372,797,609,579,959,031,160,820,727,477,037,619,
614,861,604,938,958,546,999,562,059,203,291,417,706,176,516,937,588,143,062,
926,244,857,427,471,916,962,615,735,229,700,148,706,830,790,251,095,429,378,
373,785,273,171,725,739,775,553,062,421,721,268,619,058,902,746,221,692,771,
211,728,818,912,120,848,131,472,469,976,775,710,602,100,381,734,049,964,374,
296,217,010,577,450,853,903,674,823,531,801,243,742,660,637,852,227,220,687,
005,111,652,943,641,016,402,952,600,321,935,579,672,930,611,949,429,966,547,
445,008,166,045,193,592,198,658,765,858,843,243,231,923,562,814,599,356,381,
407,669,142,245,750,846,699,298,528,180,339,677,749,413,702,897,893,010,727,
299,028,062,956,890,550,519,304,973,952,451,742,649,292,661,856,130,169,703,
885,171,607,536,585,781,171,851,714,075,553,902,171,041,393,436,632,852,449,
528,728,761,075,199,692,428,869,901,880,020,830,772,887,135,893,268,550,673,
205,282,641,781,895,071,535,155,403,684,695,578,498,025,497,615,879,709,845,
146,801,575,151,224,191,862,382,724,139,908,028,336,705,466,555,222,793,798,
481,819,529,717,028,437,143,043,549,467,418,573,575,324,862,115,992,121,314,
438,154,702,868,645,886,287,544,614,665,919,934,589,513,392,682,247,934,712,
502,063,100,757,434,345,248,450,135,788,988,334,983,683,303,810,010,277,781,
652,282,111,637,663,085,816,796,812,594,915,958,985,667,271,240,609,338,288,
197,987,515,505,672,316,793,983,983,368,494,469,105,868,911,302,566,780,659,
508,665,808,745,914,339,357,849,394,934,051,655,308,801,641,130,879,972,556,
387,912,619,083,369,066,853,668,177,508,855,514,553,268,668,166,579,741,634,
658,003,550,321,559,378,831,553,338,331,764,168,418,568,369,341,389,375,419,
346,267,282,324,289,268,204,671,431,076,593,642,751,778,778,794,355,085,698,
047,534,085,549,970,698,783,816,762,815,634,695,016,106,288,743,559,940,894,
612,734,515,613,143,014,538,256,774,688,665,718,669,526,756,953,056,085,862,
291,213,663,689,011,240,972,042,984,508,833,489,649,700,370,632,219,101,160,
707,572,723,670,948,331,354,280,385,161,942,081,727,127,993,493,290,183,307,
133,311,408,315,709,959,059,103,103,374,255,885,354,098,374,405,409,648,095,
864,396,727,066,432,768,801,350,313,388,470,078,213,505,712,076,957,749,901,
299,529,829,792,089,754,659,445,537,104,971,467,124,548,361,926,352,837,888,
606,898,301,698,042,494,953,707,757,558,625,903,906,619,740,839,486,489,699,
750,042,960,298,176,293,239,254,041,772,864,166,346,958,688,794,124,733,454,
474,545,761,968,492,368,077,244,889,844,350,221,304,597,683,201,652,419,179,
847,893,457,515,222,847,654,281,965,622,777,875,610,199,909,490,225,321,509,
868,383,839,751,074,677,738,716,108,677,256,239,627,162,020,586,239,245,413,
924,643,877,625,516,150,246,940,693,283,266,316,513,165,296,576,939,882,470,
906,777,752,615,528,786,345,971,350,431,473,090,236,528,815,180,958,054,853,
623,420,502,785,945,554,737,628,255,441,931,388,989,641,627,290,622,263,563,
751,395,838,294,885,535,654,588,256,755,920,903,730,169,963,235,281,068,660,
061,281,688,809,889,593,073,395,118,981,757,312,944,024,703,752,658,339,390,
459,603,738,429,909,432,298,494,773,158,048,497,927,039,514,619,058,505,206,
498,019,379,351,433,503,907,891,997,547,679,232,180,694,637,426,515,577,278,
661,783,636,407,321,810,553,498,580,494,833,574,059,868,718,956,691,860,033,
747,503,260,478,715,226,433,326,853,385,759,263,704,610,874,761,971,149,657,
428,643,766,632,408,685,669,260,571,832,687,343,417,132,694,601,508,879,705,
111,742,922,934,626,664,928,021,586,049,221,627,204,609,437,120,429,023,147,
762,722,512,476,554,284,404,467,540,197,007,047,809,176,615,693,214,716,766,
088,252,227,133,807,640,060,176,526,254,287,782,773,733,113,495,389,804,812,
671,720,689,370,678,807,085,055,156,140,134,394,656,787,120,786,267,064,767,
941,838,020,069,121,471,690,223,744,531,064,158,149,344,073,089,914,834,617,
239,500,484,814,077,069,893,997,328,116,376,522,303,032,933,590,469,888,079,
978,468,732,934,105,075,632,065,706,194,565,276,657,724,609,690,414,084,481,
348,261,457,482,447,463,131,027,883,676,075,916,602,864,240,556,696,913,464,
686,266,017,247,210,856,805,086,739,947,205,861,815,673,753,817,650,806,993,
305,369,014,348,559,521,581,384,276,153,783,647,741,429,851,798,864,729,891,
863,273,784,220,640,467,034,818,851,469,127,974,197,762,234,155,449,099,962,
120,626,869,604,871,262,602,925,525,201,359,514,245,301,737,865,787,355,549,
039,108,228,241,026,675,364,089,786,437,063,252,029,929,161,091,944,040,026,
292,410,447,158,209,695,858,879,425,405,993,230,454,591,178,364,091,639,362,
901,355,111,793,296,017,668,036,302,391,664,287,526,230,606,449,544,250,827,
345,397,114,780,113,173,924,512,117,469,622,588,511,962,136,414,994,282,489,
101,903,805,769,157,244,767,963,398,755,647,317,313,712,824,018,719,957,536,
891,784,258,421,610,940,839,593,650,884,406,005,247,659,904,622,563,962,080,
214,809,359,192,007,442,459,372,560,266,479,221,585,170,629,148,364,723,308,
602,108,916,559,640,269,425,477,206,395,392,874,160,826,703,913,217,857,230,
795,167,812,421,948,637,144,972,514,552,265,575,198,924,887,780,252,903,054,
045,392,951,240,068,668,156,385,647,939,772,516,084,655,029,966,685,806,907,
914,205,822,016,258,685,544,534,494,443,519,039,257,505,455,089,980,421,609,
475,280,660,118,821,338,163,729,876,288,116,229,843,483,838,640,510,144,776,
322,940,953,840,456,609,297,015,112,751,188,702,799,883,053,898,994,611,112,
695,966,489,003,338,584,607,767,709,831,555,578,450,755,583,778,140,727,158,
385,936,243,589,077,758,105,677,750,894,787,595,848,027,126,105,604,377,193,
580,519,419,079,306,698,700,171,213,869,816,190,152,794,689,660,878,841,643,
884,703,570,185,465,232,765,151,223,680,216,259,666,075,321,081,756,992,992,
251,689,178,721,377,657,855,917,228,141,364,111,259,262,268,897,256,316,997,
219,769,029,428,711,589,915,714,061,506,134,334,974,016,647,039,478,249,974,
203,261,927,677,711,149,903,414,864,214,521,070,656,878,871,874,716,960,837,
303,489,386,797,622,966,771,485,034,961,854,721,161,987,073,841,786,136,289,
935,691,815,174,130,931,238,723,297,397,765,430,450,000,931,929,187,856,935,
343,024,088,907,979,821,969,423,604,172,437,899,670,421,851,601,341,604,317,
910,484,848,268,378,476,104,355,416,846,972,639,243,104,812,409,926,407,981,
162,655,825,388,270,067,968,427,067,558,884,673,365,071,015,994,920,135,395,
318,524,970,994,102,604,834,067,015,139,266,437,004,779,264,051,967,995,239,
120,561,121,523,144,326,169,610,460,340,752,670,615,683,909,707,637,318,629,
852,424,266,294,875,402,659,479,127,624,846,469,646,186,781,700,749,790,336,
163,327,378,707,506,447,773,013,632,809,415,711,205,940,467,842,922,553,656,
881,689,275,152,538,874,991,884,233,103,409,310,496,196,364,281,188,328,538,
255,458,932,268,294,804,573,723,701,875,236,285,473,115,522,726,636,320,021,
476,993,383,258,039,038,164,560,883,968,831,521,964,442,813,098,964,397,767,
230,473,885,791,993,546,873,156,553,865,135,375,265,527,492,884,176,845,458,
549,739,880,368,623,803,074,022,277,013,938,588,795,097,176,298,442,739,623,
710,906,228,461,101,398,022,482,721,612,152,960,654,226,508,072,225,268,025,
510,533,343,014,092,594,026,425,786,510,918,758,154,186,212,387,925,368,277,
467,608,277,843,839,217,619,830,437,629,434,233,629,143,571,314,114,418,760,
831,269,946,391,173,438,644,109,485,142,919,378,349,163,470,488,808,608,297,
354,767,625,432,960,829,260,013,616,514,006,017,202,721,117,708,829,588,773,
529,053,499,900,860,723,837,041,874,690,533,832,023,153,172,326,219,143,960,
839,511,311,006,110,152,298,344,822,119,137,386,829,997,544,902,163,747,286,
709,416,959,763,924,555,621,652,777,645,155,507,304,208,734,054,938,208,347,
641,065,286,653,856,345,609,709,766,367,506,435,187,166,148,764,645,890,373,
947,869,710,326,087,886,309,074,194,549,518,575,377,081,254,611,714,180,900,
288,001,970,323,176,794,769,291,281,628,233,375,830,124,609,993,629,073,366,
326,439,931,837,339,067,410,513,167,257,928,453,731,972,151,811,276,277,921,
621,134,212,366,292,843,464,019,496,342,923,713,582,034,751,294,221,986,426,
574,654,168,578,650,686,532,038,473,167,060,340,790,375,058,377,670,751,620,
099,123,466,874,713,081,762,261,729,540,963,271,868,835,589,613,328,972,286,
520,239,316,158,715,902,425,680,892,422,267,971,393,319,243,154,381,322,327,
123,759,794,189,911,154,434,016,670,535,113,937,091,509,585,893,750,955,717,
524,493,324,943,452,003,744,410,514,590,580,359,819,441,020,153,628,363,855,
817,672,423,227,379,916,091,934,720,171,922,159,096,503,104,635,277,102,547,
240,388,617,197,841,282,720,950,753,869,494,714,469,064,309,916,939,678,199,
953,718,664,519,770,402,623,760,085,017,651,447,651,217,592,325,117,890,594,
711,942,194,672,732,871,203,794,932,109,577,567,124,344,681,820,741,459,284,
553,196,152,945,691,366,928,707,848,631,489,108,690,550,814,056,140,346,015,
278,125,745,585,115,855,603,544,676,939,981,432,350,737,353,173,694,425,265,
085,471,548,399,198,173,214,257,806,790,475,555,536,895,262,359,947,934,782,
947,990,782,148,660,308,174,469,879,739,369,683,818,567,412,404,378,103,003,
606,961,271,800,973,010,572,617,695,977,437,881,269,487,849,062,180,647,513,
211,753,606,408,614,506,784,838,173,528,379,996,349,369,033,137,507,349,200,
795,265,488,551,584,234,722,684,367,826,924,624,407,792,535,926,726,055,213,
688,557,826,621,091,198,200,915,254,772,942,973,154,824,924,174,368,131,876,
881,874,263,904,524,930,392,595,773,425,026,918,636,466,174,736,765,478,794,
435,041,545,159,647,949,976,959,056,659,512,633,607,011,067,415,625,729,615,
243,206,950,268,312,411,985,777,436,554,807,719,939,868,973,281,951,716,651,
027,635,719,478,069,849,643,302,614,864,232,604,991,354,384,208,422,379,531,
547,494,167,659,377,677,451,411,024,061,833,298,184,315,472,799,310,365,602,
830,093,297,599,025,618,590,585,516,696,654,049,538,960,229,208,674,843,951,
023,630,171,419,612,086,950,675,178,920,372,673,786,580,698,818,742,825,126,
018,372,339,193,074,096,243,976,794,395,240,005,567,915,172,269,282,812,694,
008,947,382,507,773,268,125,579,249,893,346,702,628,995,860,058,441,143,907,
275,226,834,845,961,991,027,273,663,758,795,960,593,314,048,902,490,266,484,
733,898,463,505,941,402,793,175,730,993,325,922,066,181,647,126,015,186,987,
241,159,777,543,629,607,041,804,304,323,616,611,030,956,391,265,652,622,944,
264,455,307,679,724,153,882,909,650,433,071,857,322,001,683,189,461,223,210,
447,684,524,190,864,769,096,730,731,779,866,856,178,241,398,981,049,412,390,
317,294,128,875,049,481,820,622,458,244,421,554,012,414,426,294,313,690,382,
262,362,522,484,040,326,029,192,929,066,352,300,142,516,957,868,032,618,571,
002,052,765,444,503,388,677,161,073,775,964,467,382,771,112,256,117,610,116,
206,752,113,868,473,283,112,262,573,171,601,625,910,147,656,368,964,742,075,
969,851,165,996,531,538,931,331,332,763,748,575,219,547,273,844,590,562,931,
677,729,092,192,272,413,730,607,489,435,675,985,431,563,004,112,579,712,326,
468,477,545,062,170,376,754,355,418,108,218,736,541,154,536,332,072,997,754,
844,186,731,855,388,305,516,918,174,028,894,356,144,768,146,193,584,034,356,
720,250,701,377,277,776,693,137,718,572,799,649,710,302,151,685,912,560,626,
680,255,015,773,208,795,534,286,050,359,503,310,626,992,518,820,960,351,269,
171,666,236,539,111,541,375,966,368,555,538,099,677,663,661,438,594,002,469,
644,694,917,775,531,851,169,493,175,539,984,107,342,691,621,608,334,829,365,
068,553,499,312,683,047,093,526,562,335,712,614,824,152,265,351,584,329,779,
939,774,997,230,651,650,522,000,483,979,664,430,527,659,253,202,043,638,015,
964,414,967,014,120,215,709,683,490,705,953,256,969,166,137,676,173,559,619,
716,040,718,587,731,618,634,065,233,174,633,630,264,945,674,681,278,967,561,
120,712,699,923,508,025,736,411,988,419,593,225,768,811,696,354,523,011,319,
146,220,349,290,872,742,347,716,561,261,605,591,434,772,058,441,404,062,805,
672,125,085,247,650,524,303,718,069,328,363,192,915,388,539,457,229,374,787,
796,356,774,063,096,813,131,815,836,154,027,164,626,952,228,105,913,544,723,
374,228,998,288,558,303,483,631,282,636,138,411,995,041,941,405,426,787,444,
846,325,716,208,445,557,798,944,016,900,760,869,177,635,257,718,881,192,074,
989,843,599,997,257,030,710,475,457,066,318,653,754,405,266,443,521,784,682,
554,208,395,238,353,896,387,939,965,828,070,664,675,359,086,918,103,169,831,
257,692,211,097,564,906,895,829,579,551,715,687,484,489,675,394,526,999,611,
877,392,178,134,805,762,752,357,781,738,409,714,539,197,796,088,114,812,327,
655,811,228,685,052,729,996,757,077,590,539,650,111,016,018,784,815,281,437,
846,961,920,506,886,484,034,200,407,782,056,591,770,887,075,081,691,052,881,
738,630,303,977,914,419,966,450,955,331,245,906,588,261,495,345,211,676,588,
330,710,285,114,243,338,036,080,072,163,579,987,644,616,683,033,952,153,403,
237,868,845,942,898,009,400,506,838,510,661,404,649,743,270,139,192,865,805,
242,571,418,329,646,890,302,789,766,998,114,098,324,113,054,335,047,807,428,
334,019,747,316,145,037,376,110,619,246,373,901,438,587,519,778,251,270,048,
554,910,111,977,218,837,669,774,624,263,152,141,454,496,647,743,172,109,623,
117,087,625,975,654,850,549,302,843,207,222,289,684,472,424,447,887,430,719,
178,245,473,414,490,163,390,652,036,821,954,178,531,629,073,766,751,226,480,
659,969,908,954,683,392,324,248,326,982,469,904,486,033,903,971,579,156,689,
123,709,434,357,968,172,496,379,402,776,365,508,192,061,408,290,668,703,424,
818,160,459,855,655,628,300,124,389,055,787,515,984,023,611,314,682,945,638,
139,528,406,379,603,405,163,841,924,815,833,198,497,495,943,428,173,316,000,
987,877,965,748,886,452,930,901,019,789,244,387,192,822,660,044,730,897,615,
085,214,021,307,337,841,638,272,431,666,124,420,882,983,745,429,329,742,337,
468,279,587,770,270,257,999,559,515,250,640,173,315,561,658,578,202,936,107,
037,039,902,157,972,868,059,304,871,565,891,430,396,902,637,665,507,029,546,
307,709,878,080,807,407,129,413,864,920,284,226,980,881,232,753,905,113,713,
865,281,393,456,780,390,505,377,230,439,153,803,094,931,200,665,936,519,588,
784,198,187,623,446,682,044,603,680,622,239,298,612,921,782,214,551,974,293,
517,782,974,121,104,054,075,003,660,162,885,892,177,136,186,268,947,453,308,
065,824,256,650,596,405,072,724,652,695,778,468,868,929,297,261,567,192,991,
542,394,395,917,025,991,771,575,689,549,930,997,675,276,944,068,551,503,855,
947,737,265,533,367,519,808,697,031,113,333,601,125,174,924,832,154,122,561,
829,349,342,630,537,379,497,842,934,162,545,195,436,195,401,707,762,086,257,
262,828,503,587,162,921,905,490,558,048,764,424,868,135,615,196,713,471,004,
175,394,193,071,818,829,323,475,380,145,459,363,027,872,233,810,731,165,541,
380,125,321,409,580,552,970,202,549,444,955,951,675,089,359,788,173,524,474,
682,975,423,989,911,517,889,987,923,357,519,668,185,029,125,752,825,029,166,
714,264,529,772,045,990,363,138,119,710,367,660,774,398,579,044,989,224,978,
783,715,635,647,963,680,977,389,566,963,056,142,745,049,845,586,696,592,033,
573,223,426,143,666,252,641,736,809,603,454,696,279,188,531,637,098,483,762,
645,719,375,472,421,239,608,721,847,256,961,153,337,618,874,104,304,374,027,
663,601,967,375,062,640,523,492,760,031,449,516,205,565,802,082,582,645,869,
382,985,153,849,544,233,409,963,229,007,819,996,489,725,647,458,581,288,022,
536,018,580,105,447,125,359,604,134,884,658,063,720,266,275,817,103,644,904,
336,531,902,449,898,058,372,122,338,331,625,294,931,075,318,032,660,768,858,
383,952,866,992,088,872,418,160,125,128,983,641,938,520,171,488,985,719,213,
505,283,293,712,764,991,106,436,012,115,393,729,717,070,557,481,683,305,047,
209,268,432,198,855,301,993,958,169,898,948,093,287,300,686,608,740,536,285,
828,703,019,115,334,514,594,176,684,358,317,850,070,107,433,442,327,723,035,
499,890,735,311,282,379,554,095,173,014,370,052,864,281,987,385,860,866,811,
500,092,175,483,130,457,537,769,584,537,498,451,542,480,507,205,244,656,683,
794,456,747,117,928,253,238,265,492,207,941,837,616,813,627,452,814,100,526,
398,857,116,858,018,952,204,959,556,210,212,401,254,976,471,576,209,043,563,
749,334,165,390,733,106,309,967,668,701,579,169,890,923,796,018,055,913,832,
959,976,572,919,900,083,662,812,229,925,933,886,703,529,857,636,307,702,113,
913,351,822,172,357,120,299,379,785,483,299,058,180,264,291,723,998,778,374,
837,938,057,199,523,075,534,593,144,156,088,099,001,801,839,120,553,209,644,
427,088,866,545,851,902,969,571,576,066,543,477,154,429,791,791,549,978,481,
471,143,248,851,159,393,214,415,452,247,558,220,728,424,311,035,167,989,071,
177,236,121,144,649,440,892,002,877,369,877,511,864,481,777,720,568,255,001,
536,371,313,850,162,715,739,205,273,789,381,325,499,386,509,118,758,884,467,
200,572,105,119,534,561,082,625,451,531,209,344,137,311,017,794,938,493,689,
233,679,768,869,502,603,824,762,616,249,505,425,404,929,809,323,028,127,694,
299,745,780,930,584,364,850,933,286,878,016,683,857,714,766,983,312,255,984,
839,293,187,853,840,126,661,933,420,273,965,804,218,332,491,445,003,763,747,
795,480,734,399,144,991,578,150,748,209,782,835,971,872,512,495,306,844,146,
846,339,021,448,882,019,131,459,095,018,326,344,915,880,046,176,766,738,404,
464,078,250,255,672,139,463,308,154,010,108,953,780,533,129,827,094,557,182,
875,589,679,501,912,400,162,251,904,762,069,713,740,394,895,243,533,926,380,
359,497,954,115,815,581,158,454,637,049,313,823,844,894,157,120,884,736,479,
527,290,658,582,127,400,171,581,735,917,563,398,806,867,594,706,926,422,554,
082,628,209,612,055,905,806,551,796,032,967,464,975,742,438,621,745,838,111,
674,958,678,719,070,206,993,691,351,458,058,651,261,445,199,107,163,300,949,
208,895,333,728,898,562,558,104,800,654,355,142,698,204,032,953,647,273,992,
626,881,676,333,030,457,065,740,601,476,634,805,923,866,997,080,970,257,854,
102,830,326,538,345,448,763,525,974,110,076,285,056,530,927,678,211,809,612,
344,959,228,748,519,898,209,548,032,822,932,826,282,867,002,179,516,894,253,
804,642,277,424,663,245,643,866,112,180,302,101,057,108,659,369,930,744,189,
792,847,331,763,096,620,474,966,596,929,536,662,851,989,335,536,616,201,613,
866,357,681,356,051,210,355,059,970,039,820,474,635,361,065,643,671,657,370,
934,041,285,741,854,559,434,450,843,939,347,391,631,415,283,767,256,935,615,
458,192,840,662,141,786,187,754,186,101,550,025,457,818,085,134,495,193,505,
892,597,763,658,285,984,006,118,175,615,098,143,164,842,951,696,490,510,215,
318,102,808,597,057,913,424,123,258,937,012,805,070,365,635,927,404,283,456,
207,543,071,314,733,888,484,972,872,591,107,999,280,081,946,367,069,170,716,
834,785,807,374,749,509,944,567,669,385,443,121,722,699,679,900,074,765,024,
652,921,344,154,374,937,397,914,762,099,837,519,915,228,188,854,258,782,359,
047,616,766,631,875,220,469,654,728,046,517,895,347,996,879,284,974,163,805,
783,109,654,059,598,081,068,125,499,666,771,424,112,765,561,665,656,161,145,
586,868,670,348,729,874,099,761,723,285,638,679,194,396,749,314,742,723,282,
721,253,640,640,388,283,652,703,388,993,480,738,790,373,042,914,400,971,027,
090,277,741,760,312,470,954,318,238,140,648,284,923,684,113,828,625,173,644,
235,463,943,053,024,768,768,498,954,981,939,629,847,874,230,442,116,531,791,
801,703,337,017,757,455,139,082,410,686,313,269,396,221,568,142,441,560,170,
434,552,553,995,326,018,663,957,721,380,957,381,627,930,329,807,129,555,452,
638,261,757,913,626,084,010,144,481,460,078,881,679,710,343,041,387,193,422,
648,846,518,416,277,257,928,108,826,958,299,678,713,740,789,645,776,331,839,
961,423,604,808,268,437,384,185,945,583,379,808,634,657,209,405,283,822,906,
193,520,384,259,383,731,423,942,134,605,599,907,795,934,361,295,667,276,705,
699,294,166,312,140,972,473,853,632,243,537,380,057,800,710,795,755,602,003,
475,469,587,660,594,176,387,153,802,305,431,070,014,468,809,140,705,818,556,
349,952,703,316,354,439,585,989,808,200,347,805,774,386,253,479,331,896,759,
712,246,232,163,178,550,597,145,952,558,131,127,595,667,848,080,745,624,597,
499,903,779,887,307,700,054,159,653,076,640,682,511,773,107,727,649,185,285,
291,760,530,917,481,603,499,029,959,230,955,086,037,159,857,701,357,899,901,
876,503,374,673,896,577,855,158,303,979,735,864,911,259,348,973,494,351,143,
029,597,096,520,289,665,315,547,048,146,754,695,814,288,879,349,301,885,953,
289,911,016,158,119,053,747,679,741,813,589,086,840,195,392,115,119,066,685,
480,814,995,149,645,498,013,550,866,146,122,115,438,873,388,548,360,826,282,
278,738,439,670,983,711,405,854,853,192,947,617,541,780,161,721,877,879,525,
420,550,680,484,361,910,458,925,026,737,012,605,104,378,430,501,446,338,844,
038,316,514,990,813,164,289,761,123,435,935,823,351,485,383,261,580,688,314,
801,878,328,563,225,964,993,981,433,107,910,962,670,161,881,583,018,312,251,
663,831,279,854,703,948,373,865,507,018,310,903,138,673,730,614,251,635,378,
045,125,375,035,154,878,597,879,586,260,921,673,469,558,401,931,232,340,463,
931,202,141,414,747,089,678,478,826,352,200,586,327,328,288,533,302,814,480,
944,535,140,578,356,121,534,471,849,052,019,128,781,235,234,460,718,842,510,
062,344,732,649,259,997,970,604,095,237,488,978,757,666,384,143,337,681,748,
227,364,850,092,951,912,143,814,122,289,085,701,462,148,539,673,975,608,268,
942,606,657,990,115,133,023,916,319,480,793,857,044,404,743,869,034,672,112,
948,945,650,428,973,683,640,426,635,974,921,532,846,539,367,029,631,821,902,
291,423,781,401,220,392,705,336,992,141,878,066,711,325,314,387,778,691,826,
233,736,762,688,384,373,940,964,459,022,392,798,606,713,919,116,505,390,587,
621,018,838,045,683,436,438,541,465,102,842,292,793,219,302,939,289,223,030,
616,991,091,614,384,215,895,879,797,608,403,812,600,473,994,245,848,696,105,
313,783,346,001,684,842,402,362,404,851,548,065,236,346,809,607,553,535,821,
916,495,994,769,443,276,455,386,428,992,279,813,846,104,522,773,660,639,224,
684,393,489,727,266,372,682,036,657,975,458,144,623,268,670,892,757,914,499,
009,234,996,834,624,710,539,865,960,059,031,001,072,806,250,396,144,813,729,
499,511,598,296,907,032,849,084,475,807,326,670,041,982,182,137,482,268,833,
946,511,939,900,543,148,566,446,140,139,317,634,671,835,401,763,466,445,498,
405,620,582,984,347,940,301,380,688,399,733,884,146,651,210,701,049,000,031,
052,713,070,537,318,344,612,835,038,116,509,659,934,504,744,492,783,277,627,
802,180,519,162,466,512,103,806,873,538,539,662,811,381,858,927,201,656,159,
617,887,956,311,831,273,782,899,313,109,275,002,456,822,394,822,459,031,650,
769,619,874,773,200,794,826,044,582,738,446,904,944,329,771,979,113,363,540,
485,592,420,242,283,372,512,676,093,813,029,149,786,776,444,344,295,087,057,
300,165,635,234,298,480,641,722,474,811,653,726,833,297,038,770,111,926,373,
494,838,217,414,356,976,928,237,707,464,731,942,739,236,821,755,630,220,537,
051,041,604,497,531,561,967,871,771,472,566,593,680,867,810,740,695,415,036,
436,838,614,541,679,949,866,000,133,144,988,641,336,118,833,602,597,047,920,
297,629,321,761,423,307,818,034,312,266,013,155,026,488,604,715,225,319,948,
877,532,006,929,766,425,890,501,002,909,007,998,875,757,464,179,687,207,721,
164,227,540,242,579,265,057,577,556,099,681,525,212,118,288,729,019,927,975,
817,566,127,277,931,814,375,318,522,402,805,355,104,009,139,457,484,313,142,
091,382,092,911,521,482,801,758,393,533,150,374,393,691,181,959,744,069,620,
778,570,786,021,137,967,756,012,782,519,991,189,121,152,448,514,090,089,244,
864,758,545,339,062,596,104,919,362,869,048,916,849,456,940,734,072,026,482,
677,522,033,551,346,456,746,603,324,662,719,315,144,824,385,173,211,746,788,
404,699,796,260,513,253,468,541,578,418,585,751,913,204,319,518,994,434,096,
019,803,116,685,653,000,606,011,911,725,980,590,792,577,011,633,902,335,889,
496,180,423,185,116,830,199,529,658,033,713,150,843,671,192,939,493,831,006,
416,170,611,174,282,451,568,338,258,467,062,107,906,206,255,288,767,872,308,
319,607,856,600,274,802,774,596,120,110,681,437,916,500,591,145,488,132,408,
267,963,381,437,199,630,400,150,674,556,596,221,638,649,922,133,361,073,350,
511,035,882,290,213,904,500,593,992,270,208,210,884,805,046,403,278,263,306,
495,180,660,393,594,440,169,196,147,663,487,594,229,828,214,715,894,509,809,
129,152,034,899,562,757,963,174,166,926,740,434,810,895,244,706,343,294,633,
457,701,461,612,273,979,497,545,652,442,766,147,089,109,428,903,562,552,167,
783,569,161,772,826,169,780,980,115,089,388,621,146,072,599,530,515,374,223,
033,445,102,849,644,095,510,543,601,089,818,475,208,689,028,490,495,337,369,
681,668,517,399,789,828,410,556,885,517,930,111,169,595,772,913,505,303,585,
305,685,250,026,126,124,038,085,950,989,455,426,080,526,165,441,113,705,574,
786,348,010,187,814,503,031,713,425,799,249,373,933,162,240,552,306,297,187,
224,814,736,194,854,228,393,976,303,612,573,814,599,895,861,815,189,019,786,
899,064,222,474,411,899,463,626,778,684,008,954,036,897,224,420,248,193,379,
391,964,476,234,119,694,081,979,492,364,116,435,451,174,575,083,103,548,893,
385,447,689,279,945,795,500,742,817,907,508,978,826,561,603,405,731,063,998,
762,677,670,295,178,319,174,539,231,519,776,511,653,009,013,446,282,696,593,
062,056,350,935,985,454,170,304,736,584,010,900,008,257,542,986,647,915,735,
858,641,369,996,104,527,952,772,399,284,420,407,159,423,522,391,037,750,698,
739,631,391,237,178,299,983,000,555,492,783,385,637,267,698,083,297,343,895,
842,072,555,701,952,644,224,064,046,813,859,453,876,163,580,546,755,000,981,
613,004,530,045,583,982,893,369,425,670,392,283,708,481,599,339,817,421,892,
281,661,835,558,086,209,679,626,175,054,613,187,596,139,543,563,825,011,653,
532,999,787,828,579,452,627,120,443,465,503,322,171,805,648,037,478,064,334,
333,394,601,328,780,072,837,535,428,890,682,305,252,029,393,579,918,886,471,
677,614,761,369,794,664,248,519,453,130,380,797,273,192,810,786,398,158,622,
759,170,755,049,641,156,263,871,670,281,480,000,292,944,994,292,623,436,180,
190,068,854,940,284,460,824,655,557,222,709,756,888,757,106,305,456,387,119,
105,492,053,381,310,799,751,817,592,012,054,035,050,886,721,076,840,847,041,
117,084,868,408,341,805,892,864,996,366,789,039,425,625,659,544,401,140,075,
695,380,115,532,440,924,890,334,154,333,745,840,729,794,752,522,038,821,881,
040,989,198,872,509,567,887,535,223,566,769,250,435,372,729,115,492,125,556,
422,123,610,419,611,017,578,551,845,683,806,615,102,176,418,431,348,789,632,
035,500,038,582,231,264,982,916,891,962,264,970,385,604,349,317,120,875,559,
914,844,948,112,777,782,131,597,292,076,484,609,133,711,926,215,559,702,497,
098,678,452,253,109,088,817,067,495,286,672,765,293,244,864,845,238,194,473,
429,501,480,138,970,960,743,742,804,120,908,333,908,991,924,456,757,456,729,
486,707,391,209,129,153,344,656,817,802,490,401,699,851,812,883,072,807,759,
507,383,593,007,963,530,765,948,466,186,813,928,563,658,573,447,465,078,043,
886,594,979,483,596,243,919,412,170,252,847,258,676,102,711,384,331,402,178,
103,012,941,467,178,400,423,077,076,871,591,672,545,211,710,904,224,801,682,
067,543,404,755,405,375,732,534,704,739,652,084,299,829,483,537,372,594,078,
316,541,545,744,148,830,876,532,298,418,197,457,406,716,450,836,732,879,382,
397,682,751,139,064,741,609,587,128,386,654,183,892,444,504,600,211,529,354,
198,587,080,720,485,985,709,680,150,697,490,462,675,610,865,226,131,684,615,
851,107,122,731,377,234,781,126,749,113,760,136,881,744,964,195,665,133,871,
834,141,695,559,897,188,956,696,914,573,772,461,848,791,780,494,896,319,124,
378,012,535,607,290,319,365,259,334,228,798,053,370,991,787,408,432,832,827,
015,774,530,834,635,427,242,731,798,985,652,923,958,294,680,652,806,063,209,
610,653,167,552,388,628,787,643,752,091,090,784,743,339,778,661,877,106,808,
705,686,686,898,818,357,684,020,494,458,691,048,352,027,476,150,486,445,084,
995,884,849,950,457,458,743,742,517,670,227,815,630,761,910,108,848,677,021,
838,793,358,773,042,405,185,967,864,854,352,143,188,275,397,480,494,203,125,
205,881,915,279,901,256,320,029,041,620,878,876,143,702,030,589,798,639,764,
750,236,950,725,363,790,671,837,782,567,233,458,162,792,923,796,879,706,394,
866,108,266,716,775,722,104,804,933,199,710,982,910,567,151,942,539,693,968,
500,409,038,392,966,578,657,474,259,503,420,021,874,384,053,576,734,394,915,
288,651,194,054,335,685,031,349,823,099,017,591,587,410,660,499,808,469,031,
925,339,864,062,978,433,993,768,832,745,714,438,372,905,237,793,896,363,839,
367,837,822,683,769,562,609,922,505,273,349,722,629,919,409,207,743,013,306,
727,892,935,143,389,915,804,651,336,797,629,939,394,218,644,602,451,182,556,
901,945,065,917,419,574,009,224,277,366,515,023,251,161,646,801,631,798,641,
556,776,188,465,304,886,135,816,314,649,474,115,192,612,530,026,667,526,195,
742,139,858,516,261,480,900,857,013,522,002,309,883,570,524,645,426,617,948,
925,465,756,021,093,282,841,279,270,143,011,156,359,519,580,471,042,461,842,
848,997,734,303,743,657,604,638,880,882,012,046,938,329,660,272,802,689,600,
780,031,669,716,787,665,040,086,919,124,624,775,103,305,334,602,469,166,833,
095,337,129,915,092,060,359,517,143,588,397,545,968,985,582,714,317,018,505,
164,035,426,443,573,220,313,194,548,767,135,119,737,324,854,803,446,530,330,
050,439,856,278,104,310,780,075,195,333,269,788,710,249,959,704,528,565,650,
041,497,797,336,258,277,674,642,698,101,547,112,885,487,417,084,434,403,709,
620,243,331,041,863,140,341,139,491,707,467,407,780,493,867,362,922,493,326,
182,805,810,774,308,602,539,993,139,646,093,272,384,727,706,474,566,663,236,
744,231,969,591,743,750,546,028,197,820,866,544,692,930,780,676,156,676,431,
543,504,867,067,578,904,625,843,200,294,839,496,567,820,308,087,949,824,049,
875,219,307,544,346,130,602,495,728,533,670,929,725,939,832,340,539,144,700,
657,146,322,179,947,115,449,736,042,271,056,808,830,485,498,279,066,720,295,
753,136,293,316,970,977,793,405,756,050,724,395,067,652,499,003,071,005,783,
296,105,381,539,395,882,691,694,083,960,282,562,634,311,181,157,141,760,504,
952,497,621,120,715,570,878,514,332,313,820,858,418,813,597,156,289,819,975,
022,404,176,101,045,480,753,863,884,490,410,538,122,688,974,395,320,345,269,
987,744,870,787,702,451,309,401,349,665,621,970,218,133,001,665,985,872,075,
820,857,579,346,471,040,678,995,065,143,751,367,919,227,855,350,688,168,643,
390,229,933,033,471,247,397,811,032,328,211,744,159,656,756,565,952,299,505,
488,514,621,650,808,912,502,687,587,754,258,676,612,349,943,973,611,414,443,
318,911,877,790,156,689,041,959,082,286,115,224,819,628,132,400,647,763,025,
135,291,579,927,155,088,175,224,404,347,750,074,220,160,818,184,634,035,971,
069,425,848,799,916,859,501,218,101,283,247,449,135,578,612,269,357,004,721,
022,735,643,710,742,551,540,264,020,315,484,566,996,841,306,173,348,319,707,
348,303,100,875,921,186,481,565,668,320,610,203,911,455,474,263,676,725,552,
096,414,373,600,785,141,838,415,075,315,468,497,979,444,470,693,763,913,024,
025,710,980,142,035,878,142,876,327,690,985,640,453,659,873,957,689,456,627,
662,119,171,425,349,149,866,911,748,932,359,430,463,926,167,705,207,180,519,
571,896,541,942,062,270,904,264,239,280,432,803,168,725,471,161,197,207,078,
597,234,025,588,976,287,749,026,372,775,471,578,634,326,004,927,759,629,802,
554,814,730,809,684,742,398,198,969,993,260,316,588,687,356,996,165,172,752,
190,155,167,860,280,149,002,574,741,488,492,530,035,628,979,613,202,902,593,
793,997,123,883,612,369,223,056,645,202,153,485,159,227,311,554,246,706,934,
067,188,198,194,267,626,586,600,244,494,744,114,728,848,407,351,246,582,766,
739,547,218,014,256,898,045,914,907,683,244,871,023,666,732,076,506,401,408,
130,504,779,972,249,978,381,152,147,541,926,354,131,711,258,310,069,191,027,
756,535,270,866,818,325,805,777,121,914,424,762,755,100,728,390,578,456,848,
184,548,533,386,719,761,232,704,622,784,923,635,371,211,866,476,159,367,798,
663,937,093,189,906,623,555,856,767,414,006,231,835,830,142,319,176,586,732,
932,428,856,681,569,197,698,142,580,410,303,944,457,297,134,890,781,597,621,
347,009,418,836,948,066,164,233,030,970,739,843,991,649,777,095,222,609,483,
577,840,259,406,988,479,676,412,072,598,344,436,174,649,473,055,848,111,674,
084,681,744,384,595,592,312,593,680,313,014,708,408,694,795,384,302,468,449,
072,229,816,064,793,201,883,223,863,622,984,219,107,830,352,798,441,104,933,
948,079,254,082,399,543,828,362,404,685,762,576,238,859,111,334,645,814,246,
071,647,700,670,937,039,130,065,381,333,746,635,742,713,619,293,314,358,077,
709,193,018,875,337,213,295,310,699,840,094,718,675,834,722,903,872,239,427,
563,220,464,718,662,575,467,885,835,152,351,631,353,330,209,211,948,934,439,
497,137,185,466,071,144,207,449,368,569,051,692,227,132,563,550,876,144,401,
818,694,488,523,898,487,126,949,792,239,152,196,939,844,592,050,936,481,795,
561,708,136,785,636,886,983,894,836,606,655,118,498,675,266,581,755,761,831,
006,944,261,734,970,585,312,282,162,150,068,255,253,357,369,718,501,500,350,
888,708,503,860,702,286,491,339,764,856,308,315,943,081,264,131,602,768,339,
227,900,251,701,375,483,228,671,507,790,981,710,362,153,079,304,483,927,020,
276,933,634,426,358,988,390,924,021,069,638,924,471,979,992,813,616,478,943,
551,142,870,496,179,997,387,850,551,609,288,093,630,646,632,800,590,683,551,
873,021,587,097,532,462,976,051,203,112,472,919,186,258,044,686,963,043,488,
425,483,320,891,231,656,439,529,235,998,509,450,677,321,202,445,562,976,077,
433,969,273,869,169,050,532,926,942,694,181,875,805,374,492,591,988,275,302,
797,600,922,915,220,610,043,373,156,765,603,015,491,511,566,843,631,367,170,
673,798,272,624,974,240,822,668,691,526,532,992,652,292,151,577,357,036,136,
239,153,636,176,224,287,050,667,015,794,040,117,082,443,609,936,023,345,855,
883,664,130,905,759,530,793,230,031,921,796,505,756,982,586,918,790,478,220,
723,401,377,344,033,679,250,211,598,882,352,272,105,599,860,096,955,393,826,
693,362,053,151,780,587,982,198,319,987,309,881,485,247,842,998,510,226,277,
269,843,980,445,475,013,263,965,978,185,654,937,561,481,586,946,224,399,398,
243,306,366,550,572,020,722,230,950,945,322,782,927,977,201,015,498,111,777,
779,952,192,866,170,881,771,798,803,780,149,445,020,776,049,526,130,316,496,
297,179,351,740,366,099,163,458,234,364,022,074,565,641,210,511,604,809,633,
580,168,148,363,758,116,220,662,872,757,288,157,670,334,470,061,406,149,132,
796,052,345,791,583,835,804,480,243,472,958,166,326,511,135,246,403,288,937,
357,075,215,289,664,129,749,805,325,695,491,284,554,848,883,008,533,028,934,
090,091,396,475,922,390,142,121,536,853,290,136,445,612,264,932,248,940,934,
460,487,058,019,519,251,501,948,342,967,419,877,922,011,260,343,119,557,176,
559,030,210,300,416,060,321,520,711,805,896,719,859,142,948,042,536,975,274,
273,987,989,313,868,829,538,018,304,264,422,323,337,819,861,044,147,314,906,
534,119,802,623,969,482,877,084,402,944,220,146,165,080,332,974,876,592,903,
522,816,191,443,779,861,024,899,014,925,224,318,121,899,153,624,701,517,352,
783,957,270,265,677,258,183,952,528,733,599,758,612,762,273,569,377,036,746,
923,101,932,246,241,410,341,968,356,265,733,754,241,426,252,761,505,928,755,
064,979,722,730,571,312,413,828,642,547,665,448,106,732,848,677,137,528,831,
473,272,701,566,987,817,320,701,494,756,351,009,551,424,158,225,252,663,070,
342,632,196,808,876,734,084,722,464,447,728,642,002,675,772,207,080,720,414,
251,449,283,269,496,035,942,555,244,178,773,851,631,452,967,645,544,532,277,
948,396,134,960,996,941,258,652,199,632,663,812,547,714,585,234,805,186,100,
321,849,386,494,550,502,551,187,236,988,974,743,318,035,191,833,005,489,589,
956,448,284,201,454,843,544,008,590,479,818,232,066,762,834,894,936,611,082,
973,649,822,757,104,704,369,259,769,327,032,023,203,053,052,718,231,060,388,
999,389,284,717,126,205,608,896,241,860,731,484,965,159,697,097,685,934,843,
007,560,021,807,697,599,835,603,766,877,585,122,277,444,065,233,135,988,574,
008,296,487,523,652,661,853,710,333,034,923,374,671,843,559,596,196,384,538,
274,262,086,329,314,799,436,721,008,884,541,211,013,599,907,143,849,044,234,
356,703,749,878,440,053,754,019,857,737,111,031,215,441,546,515,679,470,386,
829,358,927,024,728,805,691,208,325,636,356,348,635,505,738,247,028,715,106,
948,284,533,885,766,038,885,003,311,595,286,858,174,390,282,620,596,800,021,
441,076,319,936,586,851,533,602,053,314,185,562,927,336,586,950,579,711,218,
667,015,691,656,585,934,982,784,525,901,536,329,272,661,651,789,717,991,176,
350,491,526,204,104,953,319,141,156,845,103,795,773,583,902,643,039,576,960,
267,970,315,871,916,761,938,348,000,008,171,094,241,518,572,837,340,982,311,
440,426,049,007,929,511,809,558,529,478,145,273,699,460,319,264,826,616,047,
418,642,308,109,015,702,072,523,631,315,527,370,581,763,559,464,177,583,012,
033,497,959,236,333,270,387,703,686,952,448,052,909,173,515,261,657,193,694,
458,954,164,113,962,318,900,038,652,035,332,467,584,335,069,558,884,377,127,
255,321,133,348,582,180,760,351,584,232,425,169,922,333,054,712,219,636,031,
967,346,515,528,142,122,971,361,708,718,299,492,407,800,740,961,789,144,347,
012,299,735,458,030,940,673,811,692,547,523,755,368,977,095,664,249,408,529,
691,057,792,916,528,344,295,570,602,930,962,744,557,189,953,763,674,392,806,
310,329,013,176,673,192,520,085,120,659,734,242,149,290,650,655,148,905,854,
200,404,567,896,971,673,892,785,293,897,911,976,649,781,572,030,848,679,236,
148,852,811,292,206,306,839,730,127,402,877,576,453,457,626,080,281,092,365,
864,423,565,128,262,324,462,318,228,153,576,155,785,986,759,428,057,733,166,
334,881,134,613,268,145,663,738,988,844,105,277,791,404,163,729,634,879,162,
990,323,146,101,355,607,209,900,669,220,830,175,552,217,013,108,061,011,243,
595,518,501,311,472,004,345,437,669,761,706,392,619,865,832,040,489,896,978,
104,122,477,872,333,648,512,987,056,004,624,587,183,873,753,292,681,800,143,
657,263,597,941,402,899,522,457,387,897,832,297,841,177,973,995,353,462,622,
393,363,517,330,130,565,160,501,567,769,045,260,862,324,649,380,166,465,399,
112,535,679,860,743,682,064,295,618,674,428,864,655,991,694,384,175,118,702,
319,926,442,858,386,732,079,633,581,756,582,899,802,413,729,647,885,658,711,
067,195,639,045,925,596,732,709,496,911,972,689,861,525,687,493,663,755,644,
757,588,165,771,986,092,641,548,474,288,703,250,712,937,561,869,143,701,529,
134,970,051,849,402,279,508,801,266,242,518,837,694,540,870,378,449,304,575,
192,241,598,051,189,391,744,776,042,418,754,231,518,961,454,521,419,143,741,
394,548,468,388,256,153,833,398,012,701,709,906,671,963,534,384,328,413,675,
597,252,457,939,726,824,831,149,616,228,050,748,999,627,000,537,564,207,154,
847,311,476,207,276,306,597,835,457,811,205,603,166,851,548,433,613,998,330,
866,770,450,383,441,828,569,008,244,006,101,415,740,119,697,554,457,285,247,
412,627,065,559,366,771,304,975,545,248,669,332,806,887,563,442,648,199,181,
496,762,926,913,349,447,007,494,934,690,387,759,124,123,368,187,286,623,515,
394,683,909,760,717,498,091,498,062,956,747,737,814,830,938,029,296,602,178,
413,654,678,664,353,826,034,584,194,043,093,514,795,084,820,652,730,260,944,
558,900,901,844,231,193,136,632,045,792,830,862,248,274,815,863,884,991,625,
301,204,472,562,652,847,404,711,377,226,978,958,454,085,266,444,258,695,866,
841,840,595,925,758,848,322,178,435,847,416,364,662,938,464,958,206,413,657,
887,815,722,677,665,283,358,898,619,847,348,407,945,134,878,436,722,084,509,
751,176,830,361,465,335,330,069,855,924,729,622,961,905,016,943,129,286,823,
744,089,353,424,942,291,995,960,869,355,999,365,963,329,491,139,415,018,967,
104,225,802,612,663,517,193,826,671,865,190,431,146,569,830,983,691,029,787,
427,319,379,938,994,209,007,265,038,109,841,626,305,642,616,665,693,004,847,
625,487,441,621,471,671,101,667,629,497,171,103,660,255,356,015,661,345,415,
313,096,615,802,058,525,333,993,166,811,768,494,435,906,563,832,497,765,482,
764,506,837,343,891,285,597,581,519,098,401,592,749,774,771,942,933,604,504,
735,900,585,404,279,373,027,063,113,941,418,532,404,961,727,565,110,702,175,
270,227,277,037,976,864,680,257,419,316,313,917,578,898,100,206,203,130,075,
248,222,427,431,311,946,911,476,181,889,857,712,630,189,213,348,779,583,591,
879,253,533,712,458,326,693,367,899,459,202,663,412,506,757,587,292,710,378,
665,467,881,023,211,993,731,806,256,479,073,845,723,962,782,689,941,887,796,
013,594,019,902,197,313,559,480,134,653,531,442,502,435,903,106,393,349,256,
382,411,927,212,826,481,399,937,922,202,038,292,225,544,037,907,565,871,506,
705,054,312,312,888,000,349,249,593,572,786,685,658,897,896,360,940,073,025,
338,586,605,659,308,344,433,668,966,887,704,863,455,299,413,274,923,615,296,
883,714,049,470,419,488,655,684,520,842,537,267,038,622,852,675,422,251,489,
687,289,063,731,842,001,327,699,022,917,707,095,014,543,428,851,366,176,643,
187,575,253,255,208,680,771,957,073,988,321,320,331,663,594,301,766,619,706,
633,168,001,752,698,371,537,298,628,309,040,594,652,716,346,064,821,723,998,
065,698,421,065,663,632,562,830,764,659,979,513,499,774,255,802,268,555,725,
564,616,459,267,602,841,218,776,333,550,773,949,354,678,547,760,012,277,829,
577,172,355,030,849,740,988,249,490,957,620,986,480,073,219,080,390,383,442,
757,747,197,105,629,980,413,537,780,656,780,030,897,676,755,507,889,713,731,
299,577,472,533,114,668,046,182,998,328,647,904,839,618,402,395,873,572,660,
474,368,085,091,634,906,795,110,977,558,346,953,162,748,141,814,720,920,661,
648,699,974,027,098,305,395,389,359,393,154,314,103,148,341,250,888,877,681,
498,320,577,494,182,397,607,245,839,187,103,716,091,123,471,848,683,192,680,
634,075,723,692,790,211,114,373,973,242,310,304,394,884,706,782,954,837,770,
560,705,305,041,262,004,129,091,831,181,913,100,319,744,382,571,401,426,284,
689,030,954,959,031,909,727,940,589,404,233,985,442,789,138,959,997,781,212,
197,421,655,145,022,531,365,006,971,993,916,808,044,627,153,799,088,722,679,
733,059,544,492,690,329,110,754,033,170,643,166,018,400,888,613,614,355,710,
420,645,878,172,162,539,299,015,226,561,408,465,446,247,881,332,716,839,318,
393,603,027,916,043,303,482,074,369,341,174,958,266,554,202,823,608,225,985,
675,918,710,443,804,054,094,830,155,631,163,473,589,061,831,401,056,533,434,
482,385,516,665,726,266,847,798,594,074,453,678,024,936,833,336,400,314,157,
985,994,292,635,709,136,918,481,582,253,358,618,979,700,565,486,775,081,331,
895,564,468,581,675,179,442,729,211,709,913,973,989,507,699,239,409,026,862,
333,022,922,759,776,198,337,466,516,219,863,353,424,081,570,515,029,512,495,
975,273,851,336,471,266,380,185,945,055,164,569,021,124,733,926,896,428,565,
634,708,919,395,779,288,093,397,523,903,000,765,205,319,614,387,480,422,108,
233,118,127,549,797,022,936,186,580,321,526,719,506,718,956,548,431,819,475,
242,914,383,268,370,389,290,706,209,636,546,010,162,530,773,262,951,711,995,
574,050,775,166,197,114,768,969,833,706,318,410,911,584,720,037,571,077,269,
420,352,159,814,701,717,135,976,397,052,605,289,677,039,281,617,905,114,104,
979,283,440,747,979,268,261,632,909,938,230,349,226,265,419,220,352,129,143,
238,721,438,402,996,649,602,669,746,480,148,428,125,429,355,557,225,374,519,
700,663,732,453,438,419,628,682,886,809,226,642,237,891,364,027,765,769,847,
212,299,780,277,111,217,155,263,774,600,039,109,166,520,811,767,494,065,457,
576,287,602,170,361,771,875,096,247,516,746,772,332,622,326,160,715,672,118,
305,469,233,540,027,235,468,943,837,769,812,940,139,652,662,905,809,230,809,
399,292,723,618,811,220,273,290,571,911,853,534,689,523,148,802,712,800,131,
001,479,879,759,847,833,932,899,109,113,618,455,375,659,944,534,381,022,020,
600,956,303,292,648,858,394,273,545,192,804,139,255,032,669,505,001,426,287,
795,043,711,434,271,319,242,892,194,716,625,347,323,270,118,754,347,190,493,
968,730,631,207,039,559,707,754,628,968,267,074,252,909,285,264,304,627,152,
744,428,761,131,963,511,302,378,701,638,990,903,169,938,948,538,703,038,364,
206,050,979,499,823,873,830,176,907,252,933,891,259,332,284,217,255,338,274,
395,592,450,449,800,801,137,649,099,364,365,762,617,019,582,803,431,453,924,
787,649,201,921,257,724,732,769,522,243,710,174,859,236,319,650,771,090,809,
228,760,939,451,795,745,880,869,183,317,354,602,789,168,371,986,800,379,591,
292,238,461,692,577,957,402,205,459,220,141,642,598,038,895,265,513,323,473,
014,014,308,128,288,904,401,689,649,311,451,428,082,193,164,817,856,753,575,
482,776,944,529,786,474,369,305,917,413,574,605,052,853,348,886,114,130,778,
938,206,312,035,529,697,783,619,591,901,117,457,041,443,065,472,170,550,023,
847,865,440,332,719,449,831,676,269,802,671,755,128,126,420,174,845,740,521,
758,122,354,657,798,443,008,973,612,831,917,352,793,119,210,318,004,454,894,
476,368,080,221,758,851,175,033,655,762,601,482,258,344,993,275,748,096,492,
362,101,971,464,902,761,588,049,897,335,391,865,543,078,918,631,187,142,299,
985,574,853,048,539,859,898,312,767,018,356,275,022,468,296,524,631,323,918,
255,789,931,513,985,039,515,095,847,736,496,678,779,828,658,195,250,060,051,
475,680,579,444,360,784,862,819,596,634,022,779,306,774,951,928,919,397,350,
824,764,129,578,524,054,143,607,748,263,536,562,653,045,834,844,793,186,613,
239,625,065,646,226,602,105,601,584,108,548,639,688,663,534,538,120,516,216,
251,009,064,183,820,889,602,210,769,166,924,413,554,864,491,333,392,140,432,
651,267,182,949,175,202,197,423,415,304,659,811,817,819,284,591,435,886,024,
382,098,496,820,763,059,089,407,215,179,524,566,124,026,567,071,855,983,785,
343,002,000,808,977,133,882,715,260,781,221,516,643,229,847,030,435,175,458,
732,913,608,427,581,248,583,248,188,156,936,515,445,101,293,772,493,764,151,
541,978,067,787,614,431,454,983,078,046,152,399,039,560,530,517,888,279,484,
887,507,505,844,389,022,932,880,027,629,900,096,915,258,768,656,461,598,151,
870,248,244,451,338,731,536,403,656,061,925,592,996,772,195,767,798,309,526,
530,479,873,347,857,780,235,255,128,166,404,699,656,631,308,498,593,115,039,
329,372,598,357,735,583,277,777,079,979,507,932,228,193,319,635,000,924,539,
616,694,161,192,485,090,490,525,829,445,696,737,759,375,701,574,759,211,964,
994,010,012,734,373,245,102,355,711,430,293,521,751,627,298,658,590,458,880,
130,590,731,943,002,297,111,292,578,422,028,251,098,666,944,704,080,467,547,
763,031,752,202,092,697,232,650,777,540,918,286,443,540,461,834,081,147,280,
711,517,660,786,850,117,999,098,256,236,892,890,432,101,424,760,341,325,979,
891,167,129,294,904,765,128,536,288,788,501,413,199,416,887,627,486,109,135,
969,577,001,274,028,478,448,532,602,196,170,414,240,661,153,872,749,350,304,
033,230,503,238,416,719,321,182,569,174,546,382,974,255,995,031,238,784,594,
658,261,821,331,846,711,976,945,430,854,426,756,575,292,117,329,689,273,877,
816,562,472,399,993,069,199,651,594,155,674,149,229,318,425,570,640,066,605,
427,401,451,648,487,695,912,302,434,142,057,288,468,225,374,380,675,598,917,
615,114,641,147,661,020,638,806,623,492,249,274,626,732,276,488,448,933,660,
530,612,198,903,899,961,201,948,870,026,878,755,361,845,965,900,880,265,500,
879,728,734,167,783,542,165,084,958,870,127,017,493,979,156,912,150,588,766,
739,922,994,066,691,152,747,498,724,090,594,609,399,672,537,018,095,248,996,
666,691,545,331,443,467,599,010,262,629,872,408,603,312,235,164,646,292,879,
347,087,644,287,296,587,907,798,544,628,113,380,906,018,269,315,369,373,166,
760,371,787,294,439,002,119,699,258,275,130,931,037,183,136,412,068,318,672,
792,425,797,216,153,353,068,891,817,530,882,218,976,547,051,906,203,734,782,
935,335,046,757,807,448,266,225,708,716,653,341,115,426,205,637,025,502,179,
837,559,308,419,541,851,711,474,186,547,054,434,757,936,543,268,513,544,129,
730,483,043,685,399,289,059,088,493,737,449,732,654,611,986,000,046,350,176,
737,050,880,324,997,355,926,158,981,006,947,386,189,422,260,992,056,993,187,
403,398,393,453,740,239,935,995,678,445,526,297,896,825,884,932,467,573,411,
000,579,269,440,666,580,246,697,514,305,170,258,467,926,517,479,968,351,859,
377,828,260,135,675,884,500,706,638,440,493,706,547,345,591,675,566,160,229,
054,510,182,810,306,027,876,659,842,962,347,766,793,327,201,790,992,955,232,
911,619,873,012,453,411,843,743,948,098,821,371,424,675,517,813,705,849,820,
503,801,962,498,629,944,317,751,011,773,199,624,119,613,361,377,391,897,808,
771,444,292,056,475,915,628,898,663,517,066,211,296,355,482,582,673,487,711,
154,976,816,218,019,884,656,089,046,887,270,450,535,420,208,441,153,879,190,
366,370,695,814,461,134,930,831,303,707,815,497,589,785,597,707,361,880,494,
208,895,248,348,192,495,315,249,766,388,990,737,132,992,256,606,856,763,683,
602,713,919,875,284,667,301,617,005,415,976,430,692,768,167,556,748,891,250,
779,269,481,102,735,335,157,707,717,217,063,338,469,131,845,068,066,083,661,
482,218,216,606,325,108,995,069,483,649,182,856,427,667,069,931,448,291,979,
168,336,734,106,043,034,799,397,057,586,228,946,787,954,071,054,566,654,210,
125,175,365,235,074,868,424,682,589,665,262,561,397,876,090,892,753,253,968,
375,664,820,286,014,835,006,364,249,134,082,986,852,562,987,543,274,024,361,
442,748,684,281,361,770,754,888,557,158,764,762,564,496,775,735,592,628,996,
321,302,803,329,020,092,409,626,497,320,726,825,498,435,167,659,901,954,406,
361,052,976,698,538,340,054,248,832,996,991,729,256,891,311,634,356,653,554,
768,765,323,270,295,463,424,975,630,574,724,919,430,486,496,941,113,036,537,
896,949,024,347,150,995,980,182,418,284,249,915,470,158,464,496,840,397,603,
939,137,617,596,179,213,482,259,161,182,585,309,031,396,165,262,259,859,085,
459,297,158,835,119,258,407,324,232,543,737,331,334,455,884,928,363,339,046,
843,892,204,545,548,167,489,184,035,167,948,037,878,316,676,887,216,639,369,
142,598,343,325,878,292,373,002,196,449,524,391,831,644,103,873,844,936,902,
123,745,036,463,593,556,177,210,542,473,009,062,374,762,767,190,346,619,750,
357,753,635,711,447,173,936,782,277,137,203,838,763,471,878,668,078,592,412,
152,304,199,103,435,143,958,244,362,175,433,961,075,930,782,860,289,843,703,
124,982,064,528,646,128,876,744,842,530,918,762,422,440,353,685,164,696,230,
133,239,147,664,547,024,169,684,664,883,619,539,911,532,279,612,995,033,725,
361,513,264,177,420,356,705,177,083,669,333,199,946,184,255,319,966,546,811,
052,034,713,618,370,139,328,059,086,122,439,513,745,499,993,761,715,673,950,
048,156,273,006,333,744,560,212,106,984,817,580,618,935,769,766,450,436,261,
241,733,511,085,239,332,013,673,133,084,643,046,870,895,434,837,768,002,375,
553,340,671,450,250,204,573,892,015,953,804,655,165,746,145,928,447,908,582,
725,797,820,177,669,242,170,974,946,352,838,753,793,353,572,207,754,696,384,
657,495,451,988,701,589,320,839,006,469,449,669,289,729,581,186,325,583,442,
810,130,827,175,458,896,324,598,917,663,408,920,767,239,394,663,530,032,103,
194,937,335,891,162,950,419,237,828,437,233,388,203,358,116,708,055,949,657,
855,427,513,419,025,809,567,831,862,886,759,927,203,469,935,194,655,296,437,
698,802,675,367,701,072,003,767,114,436,035,455,610,763,663,703,821,011,067,
739,149,639,029,776,233,509,483,121,663,370,744,435,658,279,448,392,960,577,
320,402,795,934,118,241,096,044,216,032,833,222,363,790,796,943,077,486,176,
717,838,930,304,041,847,733,443,958,565,393,442,141,296,654,312,339,957,949,
052,705,753,802,062,220,522,627,805,657,408,426,882,738,441,673,520,946,251,
819,991,152,898,321,162,948,522,271,700,292,445,985,794,419,845,367,609,873,
659,490,316,184,854,487,178,150,434,238,230,582,179,635,301,464,531,845,110,
650,297,622,697,410,955,411,868,925,600,839,524,176,753,543,282,972,510,947,
987,919,848,390,963,886,705,709,708,202,715,816,549,167,150,465,796,154,488,
642,865,079,806,827,479,328,532,462,073,686,841,224,744,385,351,326,575,357,
376,662,608,999,303,845,175,391,471,799,633,416,851,720,728,247,764,213,046,
907,193,884,216,191,465,185,180,488,959,790,700,516,661,097,445,891,306,257,
476,068,556,443,187,735,310,743,477,143,112,442,830,425,747,341,064,602,730,
315,242,734,079,614,600,425,402,240,634,662,140,457,885,717,930,208,172,717,
588,715,344,760,901,386,677,813,993,327,701,866,091,145,850,859,438,146,292,
226,781,595,637,138,992,722,876,091,067,456,712,605,276,723,602,799,137,601,
492,295,546,507,899,608,928,007,611,162,265,143,600,775,154,215,014,298,712,
335,278,482,213,725,629,431,951,738,979,001,764,573,454,824,837,434,896,143,
835,879,095,639,002,508,557,827,136,594,271,720,674,000,122,339,445,618,580,
536,300,457,406,425,242,807,710,468,425,064,209,917,758,511,724,232,954,394,
555,192,283,350,849,063,838,929,622,352,014,790,950,151,079,143,306,499,283,
865,886,001,868,744,300,195,127,124,001,606,023,277,064,817,239,167,634,383,
103,197,836,961,176,734,232,645,056,691,573,328,575,301,917,644,559,950,579,
492,184,138,906,446,245,953,560,868,976,284,829,544,634,036,436,464,660,528,
223,239,688,125,200,227,400,362,539,006,548,963,283,139,440,310,382,802,634,
560,347,483,856,308,006,310,138,733,074,782,929,100,254,397,043,566,868,303,
767,257,186,340,205,944,381,259,319,643,685,643,009,605,358,444,496,820,988,
323,627,152,592,120,126,092,498,454,754,353,518,768,748,515,140,677,155,566,
276,608,650,771,642,715,077,012,614,156,824,949,146,549,939,780,937,704,605,
569,865,914,574,458,438,207,420,586,944,952,082,872,528,728,061,721,656,454,
884,270,588,853,834,663,739,987,384,293,836,647,099,651,762,076,330,978,968,
966,217,860,337,912,392,132,945,395,661,460,280,785,142,616,571,023,767,332,
116,285,202,976,445,483,854,067,946,460,504,777,649,384,455,086,800,211,827,
450,005,397,842,834,573,031,345,677,555,429,537,345,098,440,626,864,918,565,
593,435,999,040,203,864,387,428,550,306,597,018,959,594,218,971,669,623,495,
107,953,467,464,187,172,043,650,243,817,045,626,952,497,864,972,075,625,685,
076,904,810,381,385,553,254,108,561,542,037,084,688,422,648,367,075,527,716,
548,055,104,654,178,434,066,145,645,722,874,277,077,438,323,263,165,681,488,
228,829,758,804,140,456,444,600,638,772,216,812,848,798,347,949,802,413,972,
934,114,507,829,948,000,420,213,369,791,421,572,212,779,709,695,547,595,511,
750,683,091,104,826,960,969,793,643,880,218,280,029,197,977,109,713,970,436,
021,279,199,527,525,875,360,886,402,011,277,610,984,714,622,654,665,028,034,
091,857,559,785,425,422,428,643,280,156,832,334,422,097,149,499,648,775,367,
831,878,155,938,924,671,010,584,068,574,878,009,065,520,161,185,732,884,949,
029,545,059,258,719,666,192,017,055,684,649,179,717,636,996,474,371,172,446,
323,073,659,484,071,862,584,175,731,298,434,908,547,959,476,287,995,295,196,
175,736,565,218,267,136,606,119,133,301,614,560,293,093,989,928,434,709,533,
571,833,728,416,665,148,122,250,181,678,958,798,207,842,372,738,869,778,140,
906,662,561,301,317,534,145,003,880,077,764,989,359,182,366,499,391,736,527,
228,842,614,376,621,886,476,973,800,079,874,573,806,618,014,379,134,811,797,
261,965,229,947,016,822,730,511,016,282,264,571,221,683,074,650,894,765,019,
994,952,403,085,781,062,878,668,950,277,092,430,312,794,703,150,353,961,610,
572,628,314,960,605,100,823,331,749,058,568,465,288,801,494,750,931,468,566,
425,733,767,621,713,473,907,491,414,592,532,000,226,820,211,587,594,342,534,
549,625,279,887,571,200,097,164,732,519,109,423,240,778,115,199,567,333,560,
761,617,350,725,091,222,034,515,709,702,234,492,482,352,371,607,652,925,447,
397,784,320,283,537,260,697,997,713,736,212,044,663,947,831,450,052,930,252,
594,248,774,445,054,932,788,450,756,952,773,546,567,675,067,548,554,035,286,
435,464,749,702,875,528,866,980,426,818,901,931,826,361,354,842,142,503,349,
759,392,006,511,440,482,810,728,799,391,444,253,176,479,821,627,351,743,430,
123,194,200,086,848,437,285,041,020,498,207,316,343,518,100,379,889,468,322,
038,500,868,673,974,284,582,940,314,974,731,519,663,477,456,783,272,955,726,
243,025,906,624,564,943,356,792,742,221,678,490,123,760,963,794,697,832,225,
137,712,335,681,701,936,717,878,793,749,335,637,243,983,702,786,593,934,683,
473,604,022,073,156,942,177,782,596,641,138,227,885,667,399,324,716,488,629,
224,056,505,924,448,088,772,236,217,690,216,027,275,161,881,927,609,139,108,
344,820,618,858,097,502,596,543,083,988,958,454,398,846,215,556,489,915,649,
828,460,182,871,996,677,483,331,839,883,954,803,855,948,787,147,761,507,862,
859,181,762,671,972,299,361,028,533,603,210,592,578,251,999,002,157,074,305,
779,788,884,318,578,931,972,092,163,523,122,080,689,405,761,598,948,968,006,
351,986,581,538,195,634,131,400,118,693,189,058,519,560,043,444,897,490,331,
733,814,824,658,879,582,877,132,464,018,820,622,915,589,934,779,690,097,753,
102,217,536,598,987,987,688,283,692,386,136,048,378,386,730,407,718,516,406,
805,663,682,379,948,857,654,812,968,371,846,918,317,967,697,070,893,036,008,
395,090,970,679,917,835,105,357,627,299,051,041,617,705,995,045,490,716,388,
489,593,378,316,310,371,581,633,344,811,597,136,710,268,956,495,684,557,219,
183,013,174,430,682,898,487,651,216,215,577,556,199,625,287,027,955,458,149,
509,235,323,067,923,939,725,607,117,747,435,062,846,529,449,756,043,862,052,
305,728,654,275,705,133,717,475,141,262,776,502,875,577,806,487,025,642,678,
750,992,372,732,553,625,803,136,367,226,373,682,113,732,834,891,881,219,343,
103,489,789,986,106,238,570,936,343,501,692,953,776,826,262,251,989,250,885,
169,489,601,962,675,306,178,228,894,296,459,287,634,932,704,578,529,400,101,
080,653,677,618,214,709,315,831,428,355,816,008,846,023,345,134,778,126,477,
397,358,607,168,815,232,684,169,771,034,770,177,000,615,221,726,462,495,704,
699,701,491,992,390,486,745,798,991,016,805,631,254,372,106,170,857,804,453,
324,325,019,960,090,246,351,567,660,395,235,553,687,146,504,034,339,222,372,
874,695,669,735,939,574,377,872,927,264,455,062,438,748,905,528,891,372,332,
145,453,331,117,763,188,192,870,690,224,977,775,924,548,768,403,337,890,386,
153,578,449,715,240,489,651,751,128,681,748,290,613,864,910,658,467,201,729,
606,854,343,264,961,402,358,522,544,747,200,897,505,338,665,325,566,609,489,
731,029,828,407,933,143,627,249,071,037,583,603,653,642,640,610,705,974,445,
502,752,761,365,033,867,353,767,044,575,933,930,126,948,972,543,576,264,438,
198,318,654,096,461,383,298,119,777,730,780,430,939,658,843,036,315,680,798,
541,592,864,063,699,908,338,351,594,221,547,189,378,174,418,087,557,158,870,
723,227,517,933,796,997,934,342,003,632,728,494,116,332,480,778,318,162,215,
257,125,680,765,699,981,736,568,230,253,064,636,693,760,982,811,108,081,549,
743,982,825,588,961,135,960,425,112,944,436,319,932,176,339,592,997,174,672,
797,573,095,966,161,131,867,436,232,947,215,521,367,595,492,823,583,691,753,
685,484,846,446,273,661,088,505,288,159,843,689,219,247,974,894,153,930,120,
019,563,061,188,272,862,515,116,962,528,508,620,932,431,788,176,467,820,499,
518,298,354,652,924,878,725,285,516,860,714,376,303,105,451,098,281,684,185,
442,114,370,073,017,359,696,514,880,898,021,290,447,298,235,229,087,677,018,
348,288,268,183,859,707,598,246,313,142,820,041,210,009,803,262,081,337,119,
961,602,464,091,095,552,370,064,521,659,272,231,726,113,728,569,755,683,253,
729,916,419,070,126,751,423,770,229,775,196,447,993,710,793,153,313,598,639,
552,512,086,179,111,135,247,053,697,114,562,508,216,093,965,307,163,874,507,
515,332,238,739,704,441,051,668,672,151,943,357,451,622,899,169,578,345,632,
900,498,991,045,105,767,023,250,427,435,262,936,057,423,334,854,565,634,364,
640,377,597,707,163,858,921,769,002,809,250,210,135,680,298,572,879,416,378,
526,816,107,564,766,954,934,990,333,635,363,450,090,246,001,342,188,769,535,
786,678,088,550,394,569,990,036,682,686,382,011,979,907,097,746,764,236,567,
315,891,617,467,321,248,321,184,964,798,145,660,844,741,935,977,042,692,196,
824,857,806,253,311,325,153,372,392,647,457,877,420,131,883,650,624,180,669,
181,157,526,083,246,244,655,068,241,459,583,288,862,108,706,396,564,266,502,
519,995,035,389,273,262,073,480,521,731,770,648,591,690,565,970,509,196,234,
066,615,725,279,358,763,791,721,229,212,066,342,795,280,315,398,205,508,062,
142,124,105,288,629,952,871,664,951,601,524,141,187,766,125,194,574,360,968,
680,862,461,024,572,056,171,566,987,575,572,819,045,919,689,822,617,060,021,
983,435,194,570,720,375,367,760,658,691,140,376,657,240,334,944,212,621,673,
218,185,337,000,696,240,177,239,891,154,070,399,065,286,774,059,907,350,432,
127,498,331,639,431,608,131,662,564,343,038,966,693,996,586,069,730,923,635,
951,192,779,987,731,946,151,677,653,692,751,167,420,369,218,481,288,289,870,
527,589,216,832,914,893,015,690,113,565,807,429,751,796,173,824,840,320,997,
658,309,471,205,878,911,376,288,317,596,807,104,864,692,180,058,398,133,389,
253,495,548,401,756,112,904,403,496,950,414,151,266,784,475,848,087,886,737,
190,260,230,873,945,955,222,766,416,663,931,629,206,958,656,012,547,709,856,
499,923,698,364,426,088,257,372,810,060,521,115,706,233,950,430,144,352,308,
514,418,402,077,976,630,431,933,216,283,808,301,943,253,747,010,578,297,317,
995,199,315,189,569,199,129,989,503,035,595,548,141,549,987,332,261,928,335,
212,959,515,651,436,493,732,203,737,810,697,976,745,548,216,006,890,631,757,
944,572,479,054,150,029,240,365,484,143,938,850,781,510,429,677,122,086,309,
109,105,290,409,957,328,203,986,508,291,448,893,624,532,138,195,429,807,419,
513,937,562,843,124,223,357,983,877,964,175,759,731,351,870,620,498,843,448,
500,274,384,980,506,536,361,965,082,514,697,426,703,270,369,808,959,919,816,
486,104,850,194,894,619,809,755,983,082,237,244,093,727,258,467,608,390,703,
695,723,126,026,560,858,212,517,620,263,545,226,521,204,398,486,092,041,155,
876,829,601,784,591,030,407,822,999,864,875,249,565,436,885,042,179,865,931,
189,285,373,415,019,349,847,582,689,232,934,662,890,422,793,172,596,581,405,
783,856,944,483,680,117,119,836,170,477,714,248,128,881,656,710,011,872,298,
992,939,642,969,908,295,635,792,432,974,190,447,336,940,338,448,043,788,294,
644,950,718,008,100,945,017,185,791,812,262,782,341,944,036,685,627,378,875,
221,447,280,459,609,912,574,421,319,548,352,963,085,652,774,501,164,465,331,
589,821,336,382,857,423,497,123,361,410,173,632,683,236,692,896,659,001,812,
918,195,079,113,407,624,429,345,899,995,665,666,267,510,660,837,491,721,553,
904,988,916,780,457,487,745,986,935,064,705,029,861,252,064,099,426,615,284,
991,077,767,278,090,511,357,605,451,156,344,185,991,595,647,661,302,423,979,
188,981,626,917,440,690,471,792,122,918,509,704,904,351,070,144,227,722,910,
694,043,631,865,249,023,596,936,973,023,128,618,132,827,071,453,142,503,340,
005,819,710,845,821,599,806,340,317,852,521,382,680,236,438,622,056,815,833,
396,314,206,197,714,654,546,551,895,753,374,381,807,958,562,877,233,594,873,
528,484,307,495,064,296,259,645,707,662,884,688,303,617,879,344,500,605,382,
902,795,115,230,271,850,517,896,596,125,826,078,780,899,236,590,860,922,549,
016,284,647,575,412,782,974,240,068,746,345,862,063,830,729,983,850,345,309,
960,396,503,812,005,454,053,091,239,645,394,731,564,546,365,636,823,225,712,
162,881,421,873,534,469,920,884,558,872,384,526,761,754,478,683,279,732,409,
972,521,823,467,845,993,631,929,089,082,695,174,563,097,157,138,256,080,426,
274,351,593,394,986,028,390,810,250,075,667,908,773,474,401,971,967,525,630,
870,391,785,298,617,775,915,396,094,760,897,398,197,527,682,937,586,931,827,
398,212,893,049,056,891,926,291,881,838,308,815,552,457,717,755,520,637,996,
415,224,551,224,552,746,868,325,265,095,476,728,180,038,909,049,845,202,477,
313,427,780,171,673,534,621,968,197,243,564,703,234,058,631,058,700,139,385,
220,918,732,132,438,174,391,172,958,873,755,164,819,662,386,325,687,166,623,
050,980,533,604,395,744,093,668,458,959,725,834,970,709,556,865,947,115,752,
675,850,451,836,850,001,592,659,641,791,495,495,543,862,449,427,614,055,410,
743,488,849,011,149,222,723,525,416,390,558,943,648,210,711,924,197,690,923,
362,561,954,536,341,512,326,060,075,354,433,150,604,417,471,822,821,277,683,
178,448,647,160,421,301,659,828,711,019,263,316,353,526,487,885,173,648,941,
349,575,998,369,225,953,407,257,034,930,575,567,143,877,546,337,283,211,843,
627,385,214,932,469,220,608,901,792,788,502,200,785,944,311,979,521,433,519,
885,496,098,863,766,823,900,342,884,656,428,906,846,582,818,346,647,852,462,
818,873,504,942,376,944,659,938,823,078,655,695,939,809,257,973,267,121,930,
622,327,902,917,576,755,021,137,242,342,928,473,615,720,579,937,337,647,408,
369,312,693,521,367,122,453,850,055,255,837,487,093,863,093,841,676,439,446,
256,943,325,832,889,267,904,083,917,796,488,779,088,948,200,540,573,314,865,
341,900,106,860,889,257,778,879,118,182,222,851,395,456,883,688,595,342,961,
304,161,266,703,260,911,933,075,791,270,442,226,106,219,476,033,377,671,915,
986,620,328,149,013,073,127,619,936,037,640,868,946,528,830,153,443,514,063,
660,646,681,297,539,572,068,122,257,494,405,333,501,349,656,536,219,566,318,
484,657,405,131,757,994,669,670,434,168,778,036,746,909,539,250,439,504,729,
923,899,518,368,182,021,347,903,546,480,160,470,650,453,240,889,528,495,746,
435,729,730,760,434,305,026,824,371,763,350,379,498,228,754,108,291,420,696,
835,380,398,701,788,442,563,661,807,198,639,334,099,065,618,016,008,640,018,
419,780,712,509,153,951,066,539,189,651,985,575,744,454,930,480,355,577,475,
861,680,132,098,886,257,088,023,439,994,063,810,524,375,547,107,466,636,298,
336,610,800,485,421,736,803,428,793,892,691,319,269,617,669,446,960,969,028,
036,605,913,762,042,174,175,252,342,908,060,481,206,371,140,196,716,883,142,
477,561,331,577,774,062,262,472,326,577,162,160,024,972,824,062,297,789,462,
278,510,140,146,460,301,908,881,232,164,380,889,269,993,568,933,680,307,876,
233,999,257,308,998,674,754,400,909,993,869,490,952,765,655,077,661,424,182,
349,529,305,601,109,439,491,807,288,824,716,158,895,171,288,625,639,322,567,
175,189,313,471,686,045,962,202,108,051,198,359,231,375,499,665,489,691,549,
229,379,698,405,367,879,606,489,409,183,902,914,511,745,199,165,962,309,559,
586,645,357,326,726,911,648,687,552,103,058,121,368,485,465,438,233,639,501,
714,648,542,400,055,246,355,481,085,367,474,386,881,380,884,253,282,496,404,
166,502,631,489,913,792,181,222,524,589,230,839,254,866,953,392,736,269,591,
532,453,836,000,305,936,028,764,985,503,546,668,231,700,426,527,049,030,024,
109,062,977,695,665,208,218,243,814,540,307,602,106,571,731,318,562,969,736,
449,594,512,331,843,355,597,109,682,024,114,736,779,959,384,912,871,274,740,
858,137,751,777,812,753,850,923,081,800,852,869,929,511,459,751,709,551,078,
194,580,767,064,262,298,498,145,789,873,756,490,499,521,687,463,518,493,745,
287,667,045,084,068,968,857,424,079,934,387,601,318,457,126,376,573,248,348,
647,184,797,883,227,149,183,664,654,339,003,391,362,560,654,978,721,768,075,
816,701,234,783,476,889,557,215,816,664,710,683,881,203,152,363,449,697,255,
253,104,479,173,994,697,491,074,047,698,097,903,417,660,339,039,421,214,175,
677,522,890,416,787,155,792,942,973,475,266,838,282,272,797,207,700,925,814,
746,777,472,070,690,157,085,458,436,994,330,845,241,199,644,149,330,563,480,
719,582,643,555,981,057,124,259,375,319,522,261,033,908,373,023,597,586,619,
660,938,524,147,313,741,804,298,032,136,184,728,834,202,774,732,443,793,555,
767,530,177,543,776,371,732,961,058,533,835,216,731,617,599,034,685,810,105,
259,857,425,170,815,672,065,180,720,617,700,380,249,598,436,248,647,758,149,
059,506,909,085,125,516,781,212,346,180,268,607,628,034,440,977,696,700,829,
953,412,221,182,236,781,845,898,202,534,058,597,784,569,070,066,266,563,123,
222,999,563,633,242,904,713,525,394,209,635,449,277,910,892,615,422,988,706,
576,569,351,743,241,743,350,669,636,301,267,471,700,087,535,418,578,956,831,
434,561,333,354,342,687,322,961,924,984,380,653,761,392,619,457,720,836,522,
404,207,160,012,845,499,313,063,462,147,083,333,717,842,544,368,235,426,761,
953,186,136,523,959,087,109,716,839,883,229,394,848,416,025,376,102,552,603,
458,728,892,670,815,819,180,387,572,182,221,242,976,580,461,513,938,614,700,
849,258,114,153,048,660,864,355,344,147,815,900,950,328,283,880,118,198,366,
868,605,551,326,528,113,082,629,017,147,899,700,710,686,596,481,142,259,660,
891,019,523,934,759,415,212,358,053,048,748,612,237,790,104,658,851,442,786,
845,887,343,265,593,363,487,134,811,013,178,993,107,682,358,349,276,418,903,
120,574,654,507,419,580,118,057,285,684,098,780,237,708,654,164,815,116,385,
649,190,332,960,537,329,177,084,382,481,383,794,656,849,842,136,028,061,254,
334,211,366,025,335,316,059,064,074,756,734,807,002,668,931,856,277,496,514,
510,560,922,018,383,840,057,358,348,619,953,850,968,370,690,070,699,431,028,
396,357,375,082,062,556,526,387,022,824,185,535,001,678,491,718,859,950,985,
206,784,295,338,869,455,638,844,283,225,839,533,373,541,343,964,427,679,509,
389,077,869,645,274,094,482,567,076,311,509,038,686,431,387,346,199,642,218,
491,921,488,418,369,660,851,416,987,963,029,065,377,599,689,944,842,684,721,
647,837,252,508,743,448,393,947,559,518,382,131,091,610,316,112,509,886,207,
007,101,192,876,400,899,693,880,514,719,940,231,968,880,296,462,031,116,618,
152,975,547,173,232,921,319,766,929,429,360,148,105,447,863,451,102,869,824,
725,445,294,045,270,738,227,850,937,329,451,775,239,659,382,161,707,543,423,
587,618,386,638,907,586,045,289,588,833,037,421,458,253,441,737,158,289,120,
854,659,028,624,323,447,493,755,662,277,100,761,882,524,446,574,097,183,062,
775,022,078,150,423,122,387,224,865,550,102,994,337,326,743,202,662,339,805,
817,385,824,119,822,659,004,270,825,657,662,994,878,143,463,764,906,537,833,
500,810,236,600,158,811,276,288,428,398,083,005,069,905,519,245,034,886,083,
933,495,245,461,210,418,364,048,898,020,789,473,708,047,588,108,264,627,290,
429,692,448,809,300,516,029,574,678,570,936,687,997,480,216,473,645,655,739,
575,970,176,971,269,401,926,244,429,264,363,173,446,441,587,241,142,461,882,
937,297,490,231,898,116,819,861,566,288,070,551,469,430,154,492,518,527,568,
661,495,451,419,418,883,345,177,419,972,469,438,978,059,309,575,252,440,377,
486,073,166,908,682,180,449,948,840,237,400,340,810,337,837,033,971,780,288,
377,632,547,029,664,420,950,308,333,614,508,903,519,185,102,207,197,280,877,
120,130,013,513,386,618,867,409,361,186,679,102,578,140,862,501,490,789,015,
227,788,081,377,840,993,403,378,601,336,613,590,071,014,351,165,333,031,801,
013,206,428,632,092,434,364,326,911,616,455,812,798,616,566,923,372,133,101,
283,093,649,901,689,036,807,758,601,793,393,295,924,402,140,527,701,936,631,
293,799,840,183,229,683,897,061,724,422,644,242,801,807,788,519,248,763,667,
236,513,862,444,306,916,498,788,928,240,501,608,470,482,679,238,766,273,244,
523,746,027,035,612,724,687,899,241,173,972,675,311,239,770,695,687,867,608,
880,777,802,914,561,568,855,065,877,983,478,886,750,157,941,117,478,786,669,
308,866,716,343,395,665,146,719,176,938,485,532,628,739,816,401,744,868,338,
977,672,608,915,828,497,050,448,776,226,730,328,737,833,808,637,693,285,504,
433,338,305,665,755,926,661,040,226,157,780,113,746,690,166,563,699,596,974,
584,493,004,254,018,855,371,725,221,979,004,810,493,669,262,037,848,219,031,
822,944,915,616,266,290,848,734,681,773,949,397,635,610,021,928,737,353,697,
457,597,778,215,473,468,755,974,608,003,170,067,951,207,350,471,697,761,491,
342,140,838,063,287,750,360,358,213,868,767,339,893,289,913,822,030,762,573,
744,555,589,017,514,413,529,280,303,395,921,993,902,158,062,131,978,282,657,
570,316,049,300,886,613,519,416,988,887,964,886,890,692,969,369,842,775,766,
517,476,674,456,167,738,632,103,789,157,405,108,728,691,652,665,227,929,651,
107,477,221,971,169,890,240,675,668,067,126,757,588,238,878,258,215,767,588,
719,177,486,536,970,313,352,722,147,828,733,176,568,479,831,527,715,987,046,
905,563,436,053,434,138,625,953,855,944,646,083,718,558,486,168,342,627,337,
273,152,452,212,244,123,351,976,732,561,720,657,412,652,325,637,097,948,533,
656,545,491,715,593,958,216,041,008,938,193,867,104,817,294,307,975,733,103,
697,750,518,142,724,593,503,874,548,427,075,893,568,452,892,978,400,362,371,
508,221,922,767,897,722,874,588,694,989,714,749,961,067,951,240,693,150,986,
839,529,274,314,269,326,386,392,672,070,431,214,401,839,498,274,620,926,026,
963,520,239,407,905,628,121,294,200,854,635,020,280,548,965,998,254,082,074,
390,015,949,883,236,473,727,110,562,010,331,512,545,582,154,753,376,785,862,
436,473,391,941,309,784,515,564,212,039,079,983,061,977,338,707,478,568,321,
653,870,248,224,940,229,824,214,816,376,329,092,475,163,766,562,476,434,263,
835,427,673,375,761,550,667,715,240,365,022,719,672,421,255,024,056,886,024,
994,997,004,634,140,805,294,072,953,856,110,630,212,217,202,032,123,337,726,
890,104,702,312,280,603,521,239,218,135,748,004,365,473,380,046,178,658,830,
267,092,521,534,376,170,082,680,991,428,351,928,167,299,104,698,891,367,026,
579,251,949,220,877,004,162,044,018,822,817,130,084,670,701,122,443,274,536,
902,922,944,279,762,624,784,879,621,388,239,950,492,986,687,642,177,463,787,
398,100,461,040,479,498,441,665,379,495,905,310,910,995,794,899,029,489,986,
235,482,647,613,456,007,697,182,234,539,166,600,361,422,898,661,297,561,445,
319,321,083,557,606,024,063,947,212,804,867,785,299,587,820,621,760,694,143,
694,064,046,664,428,663,120,623,455,370,346,878,194,834,544,198,027,108,632,
734,022,165,100,374,782,362,850,041,088,420,403,616,488,417,728,892,221,270,
942,794,814,592,934,628,225,009,758,499,178,128,171,684,100,650,056,213,296,
651,149,258,882,847,657,493,617,509,386,959,135,539,037,093,874,936,488,509,
856,685,655,841,988,466,264,793,324,564,650,503,528,102,637,314,572,527,370,
291,203,953,399,504,150,950,918,962,509,737,668,536,334,980,360,557,345,713,
649,895,070,627,656,657,645,088,031,071,063,780,730,727,496,251,401,488,055,
257,342,011,792,504,523,029,021,558,639,803,221,442,420,254,659,596,495,191,
449,894,790,186,782,434,660,090,697,291,751,890,083,508,586,222,827,959,134,
757,888,034,133,924,249,715,235,838,765,364,724,981,997,053,236,989,699,238,
634,796,805,719,175,242,319,257,520,063,949,926,008,071,404,419,887,590,811,
063,970,959,276,606,041,240,269,815,476,810,092,083,019,727,315,520,353,670,
475,077,115,575,430,894,210,351,185,113,873,509,676,589,559,686,728,937,886,
085,532,453,288,863,392,446,168,021,306,823,499,754,381,933,733,617,210,618,
995,214,308,702,838,632,886,433,176,164,260,359,758,472,438,862,814,274,397,
399,274,287,081,781,610,983,996,515,953,300,545,198,252,592,561,914,936,614,
524,140,539,216,855,433,226,811,017,699,659,952,856,368,443,422,289,827,314,
383,654,665,771,174,272,362,377,232,818,116,001,870,728,187,988,811,994,324,
771,380,498,574,679,530,359,005,458,345,713,173,768,307,842,367,394,271,214,
684,847,955,967,828,826,673,770,770,939,666,899,464,598,080,599,021,153,573,
730,890,122,847,143,641,988,308,539,758,916,881,066,520,100,337,573,245,920,
499,413,930,938,579,849,660,868,244,141,174,261,326,759,188,857,906,073,879,
612,107,862,556,263,091,995,524,624,672,892,963,545,161,070,337,048,031,628,
468,117,147,516,041,200,718,068,420,051,961,187,850,440,883,621,432,477,533,
962,366,336,547,060,421,307,394,720,819,518,359,762,295,286,956,103,750,766,
447,663,916,825,881,204,069,585,210,994,276,118,437,158,113,034,649,437,550,
070,875,696,531,612,834,615,959,352,284,439,567,487,641,688,177,327,581,255,
998,715,223,005,160,519,807,845,595,728,683,124,218,774,352,630,087,234,976,
965,026,149,715,102,426,581,127,129,164,992,021,942,587,745,923,732,055,454,
645,801,265,072,681,021,708,463,774,106,219,681,421,854,470,577,424,884,743,
652,726,451,573,981,897,900,712,115,105,018,553,094,671,618,798,210,159,407,
628,221,541,854,488,854,090,866,184,576,052,378,560,172,791,700,008,514,146,
256,752,507,374,700,231,302,532,318,297,998,552,669,887,984,112,194,370,138,
409,765,371,293,172,589,477,478,453,462,964,361,547,204,705,428,684,955,236,
039,931,514,376,686,619,534,521,192,529,818,020,588,403,696,627,887,539,572,
224,913,568,692,568,780,940,466,040,030,307,974,893,995,061,053,733,431,374,
560,167,935,354,434,998,884,729,023,099,648,599,771,206,378,273,303,398,552,
321,444,950,197,422,597,425,969,029,744,808,878,944,204,487,969,959,677,808,
738,305,728,477,070,652,305,532,432,784,595,373,826,680,951,437,932,854,048,
992,695,208,136,187,813,139,029,486,667,854,818,912,082,419,833,712,063,146,
757,306,836,092,311,629,807,477,949,414,172,024,149,421,981,849,166,966,914,
154,331,557,230,285,324,516,467,669,870,261,030,428,520,737,764,006,912,279,
360,144,312,387,060,977,641,955,813,824,823,091,180,447,947,640,971,540,176,
772,682,731,625,378,656,175,720,187,178,948,291,860,762,423,264,054,571,147,
458,627,724,017,920,185,235,443,242,820,496,792,857,559,183,649,560,542,318,
927,118,700,730,034,091,402,348,249,351,099,077,874,312,098,816,666,349,076,
071,538,142,460,998,953,423,095,017,356,912,651,878,415,732,477,309,244,631,
103,176,033,302,147,680,031,660,606,676,960,959,788,679,372,416,353,475,540,
457,780,902,853,441,869,179,554,097,805,889,632,763,892,964,588,756,115,160,
042,909,680,792,855,603,172,512,356,433,846,576,064,068,419,423,617,388,296,
403,371,824,010,127,075,517,957,528,077,890,131,415,791,955,843,011,360,213,
318,750,612,273,855,968,435,158,230,581,042,496,573,200,743,729,819,741,213,
110,254,890,025,819,464,968,919,379,489,720,632,714,850,977,393,458,434,513,
686,543,519,836,516,737,787,162,995,821,316,970,929,097,148,406,698,889,910,
352,495,692,134,543,012,290,941,113,021,426,430,071,593,207,933,196,161,436,
842,321,860,643,700,274,571,564,755,593,847,024,576,654,644,461,877,143,267,
981,359,009,960,989,494,606,850,898,034,121,018,650,263,620,004,673,813,879,
087,949,284,348,135,150,595,305,580,958,038,428,198,699,648,491,685,583,830,
753,514,683,126,848,992,681,894,557,489,537,970,505,728,043,390,795,699,167,
129,828,686,592,959,830,961,518,188,479,508,825,854,584,907,981,251,512,100,
813,287,947,300,888,874,097,043,229,735,363,275,218,571,991,831,659,865,182,
937,459,715,087,644,506,681,584,833,789,617,870,398,166,053,711,076,268,266,
687,511,110,199,265,477,629,643,579,283,732,401,755,581,978,880,212,880,868,
205,354,110,162,097,421,970,430,088,380,544,418,021,196,612,953,213,153,803,
244,829,391,963,997,263,897,508,486,729,054,378,926,702,985,026,051,122,403,
696,328,376,850,593,554,402,081,514,908,726,552,869,942,902,631,365,893,078,
610,515,738,872,953,676,535,540,204,821,203,929,264,505,140,882,105,234,406,
039,376,166,212,751,208,491,212,139,728,491,321,942,892,481,138,966,329,144,
667,994,065,675,828,668,441,128,244,898,511,820,276,580,696,695,466,853,218,
112,430,110,227,909,393,454,768,106,075,341,554,390,328,679,289,767,360,452,
030,232,055,115,198,236,626,720,119,781,485,133,650,648,376,374,545,619,077,
818,151,362,851,772,036,833,915,451,169,934,731,038,141,791,084,060,815,234,
679,703,440,606,478,354,386,258,023,827,085,019,047,107,587,826,163,104,448,
157,175,931,527,888,852,489,125,969,244,875,449,185,855,482,149,451,876,177,
464,182,710,173,953,048,215,593,735,635,099,174,112,218,447,775,844,437,855,
341,767,754,843,428,861,208,875,367,913,665,583,416,117,583,847,658,189,771,
777,687,892,723,907,063,912,599,814,957,393,498,795,100,038,423,951,411,177,
578,803,933,748,597,257,110,407,047,253,494,970,552,516,074,353,812,475,778,
566,376,035,465,717,656,355,522,416,909,550,206,312,987,441,040,686,675,666,
649,445,265,999,510,385,215,276,733,282,928,553,097,034,029,527,877,396,147,
249,976,960,461,059,405,115,400,730,492,148,530,940,429,027,123,327,004,906,
417,443,401,739,510,085,673,430,699,511,092,121,653,997,257,829,065,361,719,
546,936,725,300,337,592,113,507,754,388,312,757,349,080,101,963,427,879,453,
351,180,921,596,885,312,027,488,701,877,515,969,720,158,305,687,440,214,115,
355,032,900,495,649,511,451,045,444,871,738,984,664,168,604,718,150,180,108,
364,935,721,335,397,774,570,076,091,388,669,123,198,148,798,718,771,669,095,
914,893,641,178,373,478,512,219,721,305,447,011,771,501,008,371,126,325,452,
379,047,548,961,681,907,786,901,692,172,115,642,506,644,222,825,098,253,306,
179,980,317,427,101,083,383,638,708,073,940,392,916,757,842,250,432,130,230,
467,993,728,537,684,536,688,761,243,955,697,674,781,041,577,211,525,469,385,
583,663,315,317,655,337,235,156,017,645,444,947,632,356,323,605,111,633,398,
805,904,165,215,921,535,773,263,507,417,551,861,111,108,271,175,313,524,316,
475,083,086,423,477,868,832,332,431,333,115,265,824,188,528,971,149,536,269,
979,704,387,140,466,089,332,430,912,727,251,623,928,954,632,585,196,076,850,
935,935,637,284,625,364,897,638,826,590,574,909,868,549,597,052,370,605,659,
435,318,350,808,829,589,266,974,699,599,712,785,549,950,313,014,857,178,677,
174,916,164,956,659,520,201,817,832,310,903,123,391,581,573,770,845,349,324,
182,850,130,948,644,710,863,261,761,593,018,903,418,970,025,260,615,518,683,
313,639,066,769,318,766,276,413,885,770,863,712,603,625,343,581,180,869,916,
940,022,501,009,331,932,226,558,764,061,110,531,777,121,258,904,953,454,986,
315,987,722,082,436,768,978,332,117,919,306,238,868,884,568,904,762,661,755,
758,978,450,304,562,443,842,829,463,339,910,066,099,546,666,565,650,621,530,
500,543,444,054,818,634,886,911,397,302,641,811,845,977,406,161,455,312,740,
701,149,479,295,628,603,970,435,061,688,281,635,201,144,304,854,400,242,825,
499,714,609,097,868,476,734,795,019,753,294,976,855,520,935,635,192,777,751,
192,334,323,089,563,381,963,565,967,275,292,587,181,368,400,113,816,204,359,
792,105,782,826,216,097,105,585,308,646,175,982,238,997,813,446,748,499,117,
798,974,251,308,335,084,828,934,463,912,773,424,900,580,193,689,389,041,336,
571,928,456,063,722,423,610,862,736,847,416,767,429,926,678,968,650,946,448,
459,970,733,161,579,084,869,367,033,004,417,004,265,175,532,546,462,608,615,
131,366,229,246,889,903,271,260,839,623,492,830,841,940,363,666,353,722,211,
081,077,987,948,470,173,798,811,823,119,181,019,173,005,952,718,939,640,868,
885,786,546,045,469,604,136,255,337,281,150,710,505,513,701,536,691,854,319,
728,225,470,027,198,738,469,620,810,578,070,632,958,019,087,061,561,262,086,
338,328,300,441,802,779,341,079,890,184,889,555,719,924,871,191,697,275,485,
218,781,863,723,075,385,769,906,261,715,223,908,235,973,908,218,171,938,886,
888,245,109,336,434,002,283,828,982,979,342,257,077,203,764,741,036,448,189,
821,872,398,944,211,080,543,251,665,953,897,854,725,127,410,840,536,773,041,
007,239,961,666,603,191,996,204,775,767,307,234,459,218,996,532,618,230,873,
080,226,182,030,028,286,252,654,342,025,947,805,067,198,224,455,975,634,014,
666,061,181,148,139,953,116,380,508,678,506,936,083,813,608,520,014,309,566,
444,899,562,275,401,006,440,492,726,586,658,349,871,500,536,355,772,157,259,
763,192,716,247,593,761,434,571,576,419,493,283,692,253,452,438,421,378,921,
690,654,713,714,040,049,293,135,191,420,621,230,495,042,956,999,692,835,376,
879,259,594,773,300,288,470,360,355,840,979,383,827,180,063,120,483,592,069,
511,312,321,649,963,005,820,923,076,869,580,583,226,475,358,892,465,585,086,
966,560,906,529,424,798,657,260,736,745,619,872,365,346,750,143,901,909,505,
405,590,284,676,119,023,448,353,423,966,742,355,365,481,409,744,661,243,143,
151,274,195,801,376,656,570,036,242,368,174,425,490,573,068,412,386,145,717,
447,015,109,311,718,658,229,394,313,566,529,710,910,017,282,544,194,134,077,
385,508,363,714,459,573,746,990,063,022,210,042,848,724,661,493,603,527,789,
163,856,922,945,237,559,719,453,366,272,286,231,329,329,423,958,808,535,305,
428,369,806,025,104,221,230,685,448,353,557,113,458,807,811,388,189,799,277,
284,519,263,032,575,562,357,213,525,317,019,801,779,450,875,480,637,868,706,
004,504,315,194,692,349,076,909,086,306,382,250,252,205,138,210,932,106,100,
833,151,739,938,693,333,431,311,135,098,994,376,797,207,176,473,496,654,898,
428,589,915,556,231,083,373,124,545,047,058,464,992,294,797,294,224,863,703,
981,429,349,951,687,427,647,280,417,767,024,088,954,828,057,721,828,249,399,
622,198,386,652,830,983,868,060,974,398,727,506,003,615,344,519,831,179,912,
950,173,611,823,905,138,321,844,771,818,356,557,923,551,067,670,622,972,364,
012,340,437,918,516,048,336,360,915,827,501,711,326,087,274,028,178,944,200,
202,487,653,989,737,165,271,520,138,941,382,133,025,048,147,574,353,739,113,
970,083,719,532,565,969,955,064,315,778,283,707,569,766,467,709,514,468,980,
645,766,026,174,363,220,564,071,020,556,576,162,103,387,518,767,577,697,934,
810,472,180,946,900,282,363,681,685,053,097,081,348,507,370,872,326,591,365,
844,090,183,279,607,544,234,096,219,503,511,987,200,134,570,708,391,296,795,
452,062,776,254,187,603,089,810,826,848,121,194,715,526,168,644,889,657,246,
258,502,445,825,786,732,655,480,312,878,736,899,946,897,931,864,542,238,527,
597,892,020,810,083,343,094,800,331,709,695,546,369,320,936,588,968,076,760,
885,580,308,050,617,621,227,771,485,909,545,792,839,939,467,085,137,252,038,
898,535,315,901,906,040,775,944,517,427,383,340,418,382,059,470,431,893,563,
115,953,315,031,672,411,432,928,312,454,118,763,507,641,614,578,005,228,843,
615,548,254,154,344,390,702,405,509,794,538,850,956,917,819,105,579,289,278,
375,229,794,492,457,786,227,847,803,541,478,032,579,579,930,377,799,820,891,
992,022,144,288,560,023,069,123,639,639,832,670,676,115,420,781,447,714,856,
835,069,021,938,775,166,338,501,266,680,702,387,026,391,722,262,835,549,921,
545,641,532,621,131,817,269,880,514,174,265,003,566,748,116,607,231,025,129,
384,460,516,321,367,350,791,569,410,658,013,083,033,569,663,642,790,903,171,
244,596,866,051,327,395,369,834,692,261,732,190,534,255,455,287,102,725,455,
587,692,853,216,929,032,213,372,939,501,958,413,099,516,807,941,094,631,782,
950,653,454,530,254,001,870,397,916,120,426,844,559,533,746,278,271,329,980,
050,382,276,366,443,660,069,377,337,570,441,853,871,152,504,092,168,465,587,
910,055,730,906,245,389,251,543,168,309,830,336,203,046,186,727,238,025,290,
149,575,653,173,643,681,508,353,625,398,552,211,417,290,254,684,323,832,212,
919,447,451,250,050,917,245,610,385,718,593,469,080,812,047,612,044,382,163,
958,815,414,620,560,161,940,545,171,051,257,230,099,128,722,683,506,774,982,
142,900,757,119,328,932,610,749,257,076,122,490,635,984,365,560,756,167,724,
227,891,713,351,427,182,143,259,047,147,207,598,245,034,185,546,183,498,585,
161,669,645,032,240,720,936,038,296,468,381,564,497,257,719,665,623,934,799,
615,427,880,944,516,762,996,376,905,343,619,002,829,205,157,378,991,840,390,
556,826,742,533,626,128,105,873,162,924,501,180,125,034,840,866,011,449,753,
367,660,190,184,533,530,729,163,382,064,965,190,773,694,548,010,439,818,255,
972,193,088,122,787,577,681,471,377,588,832,316,443,687,886,891,943,682,639,
944,480,850,390,614,488,754,383,905,325,923,770,489,840,361,326,051,679,226,
235,361,275,251,606,092,204,041,275,276,326,467,639,791,237,006,995,266,514,
985,612,954,136,301,643,360,822,832,425,480,465,692,948,257,521,137,226,209,
181,747,197,385,050,623,626,779,181,901,287,187,125,163,568,046,695,096,449,
073,943,918,821,621,652,897,388,187,237,187,325,563,910,618,932,781,103,536,
300,561,238,715,735,098,069,843,892,875,372,334,243,668,604,124,670,273,279,
194,576,268,378,412,946,471,545,111,392,378,553,175,382,786,405,588,811,100,
266,605,996,557,815,615,936,457,025,583,520,827,224,069,687,582,156,351,377,
308,907,631,587,702,026,907,614,431,867,349,299,680,722,995,224,791,902,274,
638,112,272,739,842,032,075,703,554,429,751,316,225,747,458,120,085,681,436,
317,313,982,780,378,944,498,431,802,701,331,680,625,649,779,648,597,595,952,
998,587,751,344,733,239,485,506,645,820,687,513,302,702,271,521,235,941,480,
087,503,707,228,078,227,507,708,475,758,410,385,559,936,428,782,002,585,302,
750,253,575,209,619,860,938,884,562,514,074,195,960,496,085,821,542,754,572,
867,347,592,564,342,039,375,264,029,585,847,280,972,606,757,236,035,979,636,
965,090,806,313,177,059,777,050,212,796,740,528,973,300,841,209,595,648,820,
441,317,515,734,302,044,893,792,894,146,828,748,227,630,990,980,272,368,325,
088,570,815,995,862,078,112,914,094,767,915,022,417,497,803,859,405,047,989,
558,222,719,016,027,062,784,635,276,303,716,282,708,507,289,208,152,069,348,
372,745,053,781,503,204,562,864,340,623,354,538,397,616,922,344,004,432,230,
662,265,491,855,186,665,832,788,623,579,603,040,257,383,725,375,198,181,572,
411,153,860,415,960,356,069,956,831,248,829,799,621,745,535,029,607,612,015,
087,990,903,969,040,465,340,436,199,170,611,888,699,261,283,505,110,128,581,
410,051,534,971,444,799,663,579,743,296,353,046,045,243,225,557,893,004,499,
685,708,842,358,417,505,447,513,526,669,349,337,706,684,481,811,151,933,485,
198,368,955,381,738,033,626,623,959,250,698,890,706,789,407,914,833,531,960,
383,925,739,646,786,113,615,121,573,906,949,840,289,382,572,763,899,073,304,
363,455,072,625,905,481,256,381,373,245,601,226,681,503,741,051,250,115,373,
179,625,338,255,069,631,153,096,426,871,729,097,566,778,010,368,469,137,670,
533,410,200,930,128,559,424,781,820,908,585,268,286,686,711,100,899,840,312,
392,628,387,291,956,021,155,181,063,448,781,191,986,662,416,129,226,603,062,
516,739,592,874,065,666,313,827,043,905,529,871,364,231,492,862,929,348,384,
161,591,154,375,299,259,495,743,029,580,446,624,989,968,096,533,413,781,780,
632,282,809,023,986,608,707,673,429,778,966,446,668,668,278,049,361,204,012,
650,057,913,942,649,309,308,930,062,632,747,571,313,327,788,350,573,399,943,
741,306,061,359,531,312,121,997,091,383,590,360,208,847,304,999,703,089,237,
748,430,850,078,465,614,576,341,111,884,402,295,414,054,243,388,236,568,853,
449,421,767,843,354,842,580,271,344,733,438,669,312,364,723,106,716,789,470,
212,694,259,931,137,400,974,934,942,615,558,666,162,300,328,382,696,665,027,
622,528,216,518,993,475,500,739,779,123,886,146,875,177,289,038,905,393,045,
535,420,434,815,446,705,611,462,392,010,389,194,189,632,559,247,902,012,431,
525,460,383,828,360,123,604,558,100,139,430,416,016,150,564,537,708,367,156,
695,997,809,008,001,271,344,510,867,205,997,329,551,477,186,803,341,776,839,
882,646,316,544,662,494,066,515,282,455,490,403,351,718,515,560,822,293,044,
943,912,342,633,384,177,232,587,871,890,559,573,135,453,780,795,518,037,658,
529,153,927,203,850,924,362,819,278,517,457,415,645,702,069,983,216,674,146,
012,044,462,347,920,019,091,537,328,345,025,210,397,304,671,585,313,731,120,
102,139,552,923,232,799,541,649,460,835,259,398,157,554,478,848,396,183,895,
910,083,972,510,434,550,109,827,501,728,709,872,178,327,557,004,582,782,003,
827,795,810,141,709,443,101,466,755,773,765,408,532,162,543,976,365,589,704,
426,596,953,058,790,562,966,743,114,480,899,035,189,643,867,595,194,317,245,
217,489,614,752,820,747,478,606,463,883,880,479,327,922,217,985,503,991,072,
159,001,286,738,324,848,572,025,803,489,323,538,303,755,539,791,144,673,100,
881,351,331,315,943,670,102,021,987,758,307,841,173,159,891,252,203,977,604,
900,898,736,430,300,179,192,629,255,281,298,902,778,461,045,815,727,484,896,
813,059,241,037,304,630,177,000,496,522,184,564,043,562,473,578,557,604,140,
066,282,603,567,940,209,367,264,914,917,112,525,081,680,706,857,471,964,989,
024,712,223,190,525,593,761,665,987,763,308,450,598,612,549,239,153,836,763,
022,386,561,896,104,230,711,829,411,354,147,537,013,227,973,328,584,137,253,
154,933,582,209,504,972,874,342,667,550,707,103,595,997,872,102,288,253,732,
767,936,130,164,675,254,407,341,925,909,850,483,766,817,288,298,701,561,311,
106,522,457,616,125,564,426,663,055,419,166,561,072,463,517,881,547,689,205,
290,739,957,720,679,339,162,511,830,170,386,469,811,465,211,713,177,565,270,
461,709,801,457,304,667,246,897,902,176,985,003,093,916,086,697,758,648,427,
490,007,667,062,405,493,047,734,589,788,859,690,219,017,076,431,315,216,119,
788,440,922,116,566,681,326,057,928,764,469,275,288,609,299,252,673,066,381,
373,971,396,974,599,495,146,688,849,197,396,325,873,601,461,009,139,770,857,
654,356,140,574,926,778,845,939,097,113,426,247,538,548,278,640,607,304,625,
497,213,701,887,275,126,440,480,165,163,355,372,852,755,159,804,504,484,500,
235,942,185,705,246,648,772,125,287,832,154,501,561,715,609,063,380,951,555,
831,249,376,687,103,928,909,475,874,003,480,800,889,594,501,280,686,527,831,
326,698,312,480,353,873,006,878,208,891,527,532,715,950,262,573,468,161,500,
341,971,572,672,466,840,712,857,523,780,057,935,543,172,610,335,103,508,460,
233,004,769,552,901,506,513,212,085,570,881,093,766,383,152,828,506,444,138,
998,784,632,589,503,120,396,843,843,035,305,696,151,894,284,912,654,471,690,
684,474,698,028,181,333,028,728,758,668,384,518,218,618,070,234,365,127,318,
190,321,028,753,738,334,244,503,790,521,813,773,384,307,875,013,855,768,984,
556,583,014,499,344,667,026,509,771,909,966,096,725,553,613,868,110,044,493,
874,930,504,770,131,382,424,619,251,617,129,552,373,585,471,132,242,742,670,
623,837,150,540,692,313,385,093,272,896,896,682,205,235,720,598,051,953,671,
472,776,690,040,526,372,932,423,368,389,592,307,029,674,079,647,009,050,044,
415,108,921,586,360,874,900,937,382,030,034,030,441,428,072,894,951,036,394,
105,176,563,311,944,620,940,224,282,663,564,277,164,150,376,631,993,595,097,
432,890,403,998,394,310,070,239,968,662,450,602,998,418,175,336,159,741,943,
983,112,022,886,744,452,672,785,271,358,924,642,083,490,855,651,080,360,949,
387,545,606,750,347,099,150,548,551,246,069,620,859,948,027,027,458,791,082,
384,667,404,903,549,731,612,824,053,495,995,451,284,075,838,939,113,546,985,
346,804,510,183,919,916,031,894,975,430,612,332,871,317,087,355,351,174,761,
708,451,395,339,041,613,489,935,534,513,714,240,616,276,848,751,144,740,991,
889,048,031,362,336,294,737,941,423,383,140,811,925,400,682,572,274,316,901,
155,469,586,090,271,649,890,959,064,168,973,958,365,175,070,443,474,953,860,
576,893,061,854,538,262,836,983,194,656,083,939,934,443,061,780,519,034,882,
931,210,269,637,153,261,380,079,015,152,830,402,667,477,956,999,844,016,134,
246,640,134,352,987,594,578,820,673,440,161,610,550,981,022,124,282,001,560,
756,248,340,244,604,224,874,536,685,521,018,402,825,994,318,899,037,623,098,
667,935,760,792,461,031,217,443,993,570,711,954,577,412,222,279,702,132,900,
351,471,941,844,737,493,970,844,836,666,395,333,659,591,195,520,465,830,333,
667,232,530,265,312,935,654,137,377,369,118,274,448,436,047,795,687,852,802,
849,865,400,399,631,228,164,669,941,585,862,757,941,845,374,683,716,085,793,
382,547,710,777,009,734,912,596,310,091,059,323,622,412,222,510,079,267,906,
940,212,363,321,722,233,396,185,848,472,388,916,365,577,235,656,421,113,236,
206,988,728,525,152,342,280,801,185,322,601,751,642,503,811,471,430,774,563,
987,344,839,230,403,978,824,378,721,314,674,330,811,925,463,445,291,157,653,
089,425,133,634,888,441,081,452,007,117,870,568,587,690,664,691,626,511,269,
584,301,282,267,772,987,161,889,132,660,567,883,599,756,434,769,586,199,770,
581,678,105,202,872,892,918,132,913,866,154,624,302,732,219,794,625,814,301,
866,097,082,605,749,430,766,133,997,725,981,985,166,225,049,961,910,101,615,
759,407,855,371,245,038,626,510,581,893,637,464,038,009,830,362,086,679,490,
076,299,641,591,723,012,705,719,035,543,712,820,612,654,259,219,399,052,191,
384,730,668,128,603,112,362,809,878,001,901,438,692,893,695,765,643,862,445,
441,669,663,299,757,099,233,747,433,931,447,139,502,003,325,496,865,677,786,
017,359,877,339,868,831,118,192,680,730,417,011,634,881,405,075,205,132,147,
854,108,001,360,568,554,792,305,223,398,035,063,150,357,832,799,571,271,653,
851,007,242,716,763,946,517,170,680,151,002,514,685,055,863,859,167,551,262,
117,349,234,533,883,742,933,130,394,619,801,519,880,526,198,114,158,380,942,
856,868,761,627,800,084,986,033,992,566,646,313,406,435,971,771,506,601,259,
224,297,824,008,572,944,764,247,162,819,121,924,118,183,237,212,629,789,757,
221,289,604,535,164,979,589,227,706,503,787,236,030,939,467,633,208,293,581,
398,222,327,098,725,089,941,565,357,219,742,283,451,703,017,821,088,817,282,
125,691,078,581,926,777,240,951,067,119,101,270,412,230,186,548,248,886,861,
058,226,731,815,995,730,433,482,698,676,625,095,782,895,175,624,240,050,378,
068,652,284,126,169,903,605,635,826,606,639,126,572,977,083,914,913,059,517,
457,917,022,505,500,877,643,221,728,641,517,770,830,889,604,893,085,774,622,
938,887,011,041,751,310,558,849,417,871,072,677,533,228,232,128,972,653,008,
914,836,635,274,870,797,696,492,811,210,599,831,833,964,588,839,287,265,538,
792,684,142,272,923,038,462,193,624,866,040,224,306,910,762,615,780,033,856,
422,813,344,313,764,206,698,337,665,672,991,379,008,388,462,133,462,142,133,
027,384,028,020,061,740,839,476,829,440,584,371,901,131,802,484,394,132,215,
332,484,297,652,617,862,873,292,610,820,295,593,387,074,242,727,994,386,027,
861,997,682,963,294,570,402,415,453,225,998,821,066,793,061,647,001,442,611,
173,932,367,824,611,377,701,186,073,067,817,970,247,087,055,593,929,036,936,
293,202,873,299,136,480,640,171,672,710,522,646,696,728,064,819,734,336,980,
793,655,688,164,778,700,004,979,460,902,531,629,512,406,577,890,270,769,432,
628,747,533,728,615,857,021,668,935,707,106,852,110,632,003,823,998,906,534,
768,493,529,789,631,873,857,143,017,572,535,510,431,706,534,398,747,503,257,
766,401,299,899,835,897,301,218,245,819,825,110,498,200,403,166,602,660,422,
982,553,234,427,666,294,749,094,025,421,035,153,850,586,684,888,382,732,330,
675,571,964,465,100,291,137,927,624,842,072,419,330,936,400,102,894,906,439,
527,752,879,271,437,800,151,857,448,183,715,993,184,228,303,313,455,595,495,
155,065,951,376,793,546,156,336,301,217,395,326,956,390,199,138,810,497,752,
606,634,633,398,323,020,656,483,009,929,217,223,324,529,001,337,025,466,245,
073,805,516,258,205,355,883,159,220,003,777,567,924,484,035,097,954,233,781,
321,175,786,849,038,802,378,415,839,495,639,830,997,976,519,066,806,226,445,
211,352,101,648,736,139,056,470,079,810,511,460,159,450,513,536,100,350,837,
635,818,589,634,176,373,895,479,170,678,922,451,792,967,873,385,566,095,064,
247,632,732,883,598,044,345,733,946,864,459,169,486,783,346,824,901,617,731,
657,374,116,959,693,613,106,315,051,654,950,817,917,298,928,838,552,795,080,
825,994,671,600,640,650,380,789,762,084,398,422,656,293,012,767,100,175,461,
832,729,743,030,779,307,362,106,363,894,210,049,857,782,796,746,197,835,019,
526,070,202,486,512,969,601,259,661,547,661,463,119,577,536,867,105,204,859,
550,787,692,591,028,817,530,935,255,101,264,276,535,895,368,401,609,807,608,
908,588,912,014,591,930,510,166,664,234,696,585,576,995,522,843,339,767,965,
883,852,717,614,919,327,369,318,304,995,129,101,044,044,787,683,996,425,217,
859,913,790,691,290,570,898,544,662,701,991,954,447,250,517,744,270,876,588,
779,555,963,718,709,849,565,594,431,920,148,530,093,500,945,016,219,416,163,
838,346,225,855,298,188,311,293,780,923,273,755,507,943,074,555,500,464,792,
620,524,365,158,770,771,620,901,181,970,427,999,174,685,027,807,658,670,599,
991,439,865,076,435,991,643,325,999,364,139,733,206,866,949,038,946,428,411,
147,969,928,108,183,903,610,888,738,035,830,363,216,984,173,047,434,192,553,
170,240,903,476,011,975,343,309,570,706,673,812,355,792,087,440,057,871,947,
105,333,625,148,998,672,349,266,205,567,295,488,165,837,206,819,201,540,408,
078,864,649,664,330,635,383,728,097,587,042,973,891,085,450,601,290,899,103,
678,444,901,371,810,269,636,536,355,521,954,867,668,053,115,721,602,790,351,
553,464,610,963,191,260,132,654,320,139,768,639,458,328,209,113,693,423,789,
906,047,439,815,643,516,286,839,460,467,797,366,364,711,031,475,386,465,510,
112,777,828,690,091,082,103,407,554,499,470,643,363,100,458,150,639,019,670,
713,199,998,253,928,904,762,655,371,144,221,593,080,324,254,692,441,153,976,
973,643,177,916,694,729,821,872,440,404,734,400,819,541,232,796,530,766,603,
455,368,041,222,610,784,648,746,277,959,125,949,305,676,098,924,531,431,226,
686,188,293,191,421,548,980,807,644,999,411,726,586,217,758,805,646,179,108,
046,031,578,767,911,410,788,485,440,503,619,272,948,222,722,943,953,386,955,
068,533,588,930,951,464,355,227,848,729,177,752,302,424,046,094,894,920,045,
350,026,040,848,516,882,029,193,393,564,842,304,532,844,971,703,778,703,342,
108,274,589,021,155,116,460,273,471,246,417,179,861,221,725,822,899,283,942,
034,556,445,292,457,646,419,082,107,927,356,938,542,917,184,351,485,170,289,
829,591,851,140,660,003,232,459,953,859,949,992,747,866,496,110,923,253,790,
905,427,996,018,811,779,250,843,854,878,419,812,667,633,479,251,024,882,447,
482,015,838,343,159,972,781,465,935,261,926,845,231,192,635,031,293,538,893,
964,332,782,418,655,529,033,520,188,579,432,457,107,774,738,000,770,621,752,
930,914,695,031,509,940,049,147,124,389,176,297,446,301,330,286,211,856,217,
271,488,349,526,706,398,256,415,804,678,738,250,517,988,219,615,734,484,520,
202,519,502,345,564,565,976,139,663,127,649,954,707,504,329,588,489,407,895,
482,505,713,249,288,720,805,496,809,488,144,808,126,249,810,128,856,019,660,
408,318,002,217,400,850,641,094,383,976,262,479,564,543,707,368,334,516,673,
303,426,139,174,792,902,673,103,858,662,804,970,470,480,948,629,376,162,410,
430,655,092,378,949,743,342,569,363,261,334,390,756,829,917,926,089,392,987,
190,790,024,990,053,358,391,769,394,155,889,964,642,365,568,441,022,771,591,
683,775,153,743,825,234,721,247,448,175,101,787,878,574,255,294,598,786,647,
047,431,139,277,550,989,726,249,380,395,974,647,015,567,533,868,949,346,594,
278,663,865,772,051,042,854,956,412,252,787,037,010,054,657,920,232,813,972,
298,044,318,261,121,954,610,403,199,211,072,586,650,673,007,580,251,664,875,
723,561,561,150,794,346,978,627,394,793,337,754,328,083,272,387,650,676,682,
674,712,279,981,200,390,397,973,150,387,572,183,084,576,187,831,031,198,777,
370,697,258,059,329,140,422,408,641,288,151,630,543,384,037,648,651,874,428,
117,255,692,508,341,043,078,043,249,464,117,091,494,952,796,430,940,859,850,
225,118,000,438,023,921,980,463,424,957,007,271,059,382,524,963,600,702,372,
310,084,434,039,981,646,977,766,607,172,473,004,689,147,546,112,998,066,653,
818,769,483,782,366,776,198,674,996,786,244,572,485,028,367,955,771,549,858,
893,440,563,754,981,308,642,229,522,072,896,254,707,210,008,744,733,325,203,
909,199,302,573,294,137,938,200,105,972,504,067,702,928,241,836,299,609,024,
414,851,691,811,414,690,878,156,724,341,591,406,529,838,038,337,488,039,963,
551,483,205,740,095,237,039,063,889,102,668,237,720,751,055,372,454,458,680,
770,517,574,234,946,662,993,611,686,025,080,319,414,446,934,227,959,124,636,
998,509,654,660,388,652,269,042,917,792,274,502,190,089,053,364,634,414,216,
637,908,375,365,437,528,978,762,214,223,423,385,227,873,403,739,101,065,133,
697,977,841,726,033,625,682,434,834,696,973,255,142,471,013,156,916,412,573,
916,208,093,911,024,468,990,513,233,453,943,570,860,053,810,349,154,596,252,
417,508,520,225,253,011,919,795,267,411,102,513,980,549,165,794,479,557,124,
920,297,965,673,575,509,597,188,749,982,087,653,491,746,419,985,495,611,317,
976,781,346,933,439,855,720,597,813,279,515,173,136,777,069,534,442,470,620,
149,358,694,622,203,016,054,618,549,771,770,901,353,892,802,362,772,223,811,
220,573,711,298,992,844,756,508,636,030,997,540,612,338,977,783,688,070,667,
761,368,884,828,188,465,071,721,039,302,499,194,095,937,880,081,798,571,026,
497,338,469,288,977,848,888,503,310,029,694,636,996,811,730,560,594,132,760,
008,289,200,210,968,864,278,044,925,683,958,814,746,226,748,834,974,837,664,
703,751,367,583,646,892,929,342,605,472,061,765,499,246,492,586,459,182,744,
026,821,880,219,101,798,231,553,814,622,246,024,752,214,249,167,491,434,079,
596,301,014,422,039,196,416,557,012,321,158,822,863,606,925,558,060,150,781,
355,571,471,727,674,224,473,877,234,069,307,269,590,169,786,174,250,875,834,
874,108,648,679,769,515,608,756,107,015,299,549,577,899,481,002,711,593,371,
342,125,355,855,813,694,537,115,872,263,101,764,191,844,319,963,077,164,712,
388,448,242,879,243,888,463,921,786,437,428,590,058,813,195,490,175,077,205,
147,892,038,723,129,455,573,779,339,599,974,735,042,819,935,921,139,419,657,
044,409,397,377,810,659,918,623,746,285,473,254,486,224,204,821,000,669,362,
037,477,729,423,563,108,063,336,843,251,131,853,096,445,556,913,794,018,021,
799,039,646,920,415,188,787,207,914,189,867,140,241,036,179,828,191,650,620,
249,116,646,339,625,088,962,306,636,174,859,616,389,115,003,739,510,759,071,
687,842,027,884,652,308,586,440,149,220,250,304,648,689,028,485,629,983,571,
479,401,654,553,684,866,869,977,374,034,224,358,883,219,082,573,796,199,556,
526,133,871,421,404,589,855,262,696,597,782,463,012,501,267,476,602,316,417,
740,447,819,080,460,286,141,040,527,158,439,313,676,736,883,288,481,382,302,
218,842,565,656,910,768,941,943,949,804,427,663,062,495,431,058,717,241,456,
254,028,058,431,537,011,160,194,927,910,621,620,968,035,621,125,798,958,561,
659,076,066,805,055,863,299,943,765,142,966,087,073,948,277,262,131,204,953,
913,401,279,055,449,406,368,738,339,535,533,893,873,262,049,096,350,831,466,
512,297,510,345,355,615,080,167,852,571,632,697,565,346,493,336,089,747,714,
709,182,720,714,138,949,038,442,922,758,182,153,234,933,826,259,417,707,168,
830,309,920,771,287,205,013,552,748,054,594,915,544,314,246,941,947,000,109,
126,029,907,579,621,855,584,185,228,653,377,345,686,028,293,736,128,079,964,
380,112,207,862,225,454,145,216,616,445,472,998,422,432,568,569,025,488,556,
035,929,277,036,779,699,477,127,066,453,572,526,161,182,054,295,756,615,671,
966,171,104,115,634,878,157,927,489,979,883,608,757,014,073,204,345,882,016,
239,014,793,581,207,358,449,683,831,371,899,843,659,358,452,231,591,021,457,
424,320,847,778,390,774,382,130,783,347,817,137,514,038,793,172,961,928,522,
838,625,556,137,876,696,237,694,154,094,069,909,949,470,037,661,315,815,451,
703,092,705,490,050,045,410,674,203,687,374,784,486,798,146,854,343,200,316,
868,821,198,083,376,472,076,702,309,398,067,820,403,802,796,132,117,160,662,
891,792,165,838,795,175,389,890,907,567,458,755,699,214,092,630,970,155,012,
547,808,314,853,403,884,795,220,914,140,617,098,398,288,601,479,055,091,627,
702,072,101,153,046,813,551,973,442,390,927,245,916,995,999,799,381,253,027,
696,752,690,951,196,217,855,188,033,697,501,343,162,924,615,206,579,586,506,
131,150,443,027,835,063,918,146,295,799,214,966,730,479,193,418,753,793,839,
448,884,381,544,874,474,535,829,888,782,098,410,086,916,693,843,968,627,706,
765,029,365,597,834,389,742,127,930,690,579,379,206,262,369,423,948,208,688,
612,364,342,116,825,449,404,421,282,327,647,527,514,858,844,225,534,181,984,
455,025,240,138,389,150,203,789,722,212,502,975,735,592,113,046,056,847,134,
483,933,090,114,383,381,682,854,433,364,000,696,967,713,693,489,870,037,254,
455,102,335,563,490,549,757,758,670,750,951,706,519,266,302,154,684,999,826,
759,496,773,523,468,270,555,157,898,028,600,793,328,907,359,471,263,552,716,
961,756,849,649,357,020,172,141,647,018,106,712,610,041,962,378,711,109,342,
215,809,293,788,137,310,226,676,512,544,077,482,033,991,763,218,384,436,272,
432,326,803,897,480,272,545,452,076,953,137,903,414,947,392,758,749,434,591,
131,812,896,337,891,440,027,664,366,788,657,441,876,843,529,551,429,076,119,
409,787,542,842,586,426,403,737,247,361,595,027,916,349,868,962,805,796,042,
439,706,102,148,531,754,689,610,541,897,789,247,861,832,903,139,597,786,074,
309,175,120,656,091,510,342,526,657,613,138,148,367,427,853,993,856,926,235,
385,860,810,726,638,999,862,337,972,157,062,968,557,672,997,527,746,005,757,
521,943,308,902,707,243,449,982,973,359,501,915,369,211,500,119,346,499,865,
791,370,591,475,118,411,490,448,682,570,356,089,658,438,224,596,347,052,050,
479,549,553,500,033,069,590,881,480,190,368,211,057,880,231,732,329,120,959,
190,597,067,993,721,782,566,872,372,306,164,657,586,027,069,421,510,877,669,
140,910,106,054,391,700,788,370,804,925,740,626,113,868,349,798,129,155,194,
927,548,330,448,897,804,624,048,316,133,329,199,343,089,649,368,107,852,265,
586,412,525,826,350,032,330,289,096,790,075,976,303,739,738,663,877,932,108,
706,711,147,504,352,877,689,589,013,101,670,544,683,171,069,268,122,250,463,
042,136,698,195,992,284,403,537,307,609,978,843,246,461,805,936,518,923,388,
658,821,766,063,011,934,096,337,221,463,006,519,529,219,396,185,140,214,625,
439,761,810,874,893,413,199,616,783,810,882,776,996,799,113,568,892,560,662,
691,318,979,946,478,285,324,253,765,008,452,485,245,754,686,890,918,787,587,
356,386,537,378,809,860,686,126,663,240,672,693,568,287,786,529,433,777,961,
645,540,392,066,679,278,712,427,630,119,097,040,339,936,569,156,711,765,125,
797,509,587,017,511,510,959,868,661,169,911,668,347,533,595,686,380,522,673,
550,093,850,334,151,506,806,040,268,372,020,286,291,442,669,705,916,769,056,
446,731,304,431,667,316,295,719,769,839,020,764,236,300,220,777,103,645,405,
358,860,277,877,353,940,174,079,031,955,124,573,948,909,981,333,933,476,975,
027,041,176,900,123,766,010,414,440,142,044,715,935,354,035,187,495,619,724,
532,716,789,190,883,150,149,492,149,361,209,588,673,280,257,912,008,410,827,
386,261,295,440,238,309,508,875,730,488,540,673,114,241,559,841,783,836,253,
504,445,807,307,446,380,111,110,302,098,143,557,682,958,812,291,233,547,461,
520,434,630,121,077,339,525,068,856,977,341,080,040,893,329,403,063,886,353,
379,372,107,905,446,385,956,992,259,215,954,116,592,054,282,370,213,187,198,
675,903,627,067,284,987,905,339,582,897,554,429,359,901,656,114,853,101,617,
009,987,208,306,787,188,855,025,762,900,351,443,013,637,751,225,199,322,954,
072,820,691,912,433,704,044,901,092,847,954,305,965,684,750,318,362,245,532,
807,642,694,838,068,658,072,263,581,565,942,846,004,671,030,915,258,788,275,
912,646,757,110,661,535,669,334,712,545,484,364,831,444,729,118,183,980,287,
221,785,968,215,197,005,524,350,485,379,028,386,340,747,622,140,100,308,119,
176,293,640,531,751,637,710,938,143,917,702,823,514,035,237,068,154,546,861,
898,237,334,976,135,419,244,109,216,056,318,504,740,092,224,657,444,014,568,
273,385,051,962,017,688,069,934,263,082,502,727,571,109,711,974,295,475,141,
610,461,989,842,204,062,292,064,312,953,036,459,084,511,706,944,375,926,942,
227,914,850,464,600,723,738,669,677,102,451,408,910,452,696,289,502,231,992,
552,033,196,347,797,686,253,291,452,261,068,660,433,080,043,192,934,013,692,
203,464,487,051,061,237,359,574,336,517,309,277,767,247,145,512,487,121,086,
721,877,990,571,625,099,672,336,384,147,078,910,817,957,371,253,454,006,312,
432,272,967,135,511,967,676,487,913,363,921,595,795,081,156,714,816,713,490,
236,243,573,342,142,791,263,080,081,767,799,208,898,558,943,067,565,102,158,
063,887,935,952,640,852,144,585,816,532,661,453,638,498,828,370,371,400,426,
630,695,907,047,783,753,298,170,659,131,693,954,414,998,337,865,014,764,526,
573,073,839,569,200,645,635,885,493,691,378,974,882,227,755,552,959,630,339,
815,951,658,647,038,308,923,340,902,618,912,082,893,012,850,734,657,803,373,
903,738,685,275,700,894,218,408,912,254,273,824,717,572,643,825,548,171,619,
232,577,936,894,334,203,847,077,129,032,574,006,937,317,264,962,368,197,711,
805,007,129,794,429,607,586,499,288,195,746,500,102,512,219,836,741,475,931,
880,336,945,102,376,436,934,117,454,439,828,094,664,407,285,510,064,979,410,
150,071,778,675,421,351,791,231,189,723,253,268,160,268,229,061,311,880,099,
760,608,550,562,449,838,630,303,130,583,622,900,745,183,200,295,313,413,739,
387,604,575,077,237,959,990,737,602,759,807,435,612,502,382,782,709,524,937,
624,515,077,945,658,789,125,196,021,882,349,977,962,996,712,129,330,983,403,
274,284,633,207,580,200,320,725,704,206,159,339,361,585,400,915,201,610,657,
936,227,175,987,983,294,072,054,347,155,897,620,085,111,479,380,522,018,828,
478,704,118,738,335,873,452,509,988,330,251,448,775,092,760,570,399,626,268,
395,345,608,362,888,706,675,376,166,616,369,200,189,377,036,435,061,732,640,
795,872,281,257,736,106,212,494,332,344,813,112,625,279,369,307,526,171,010,
426,395,677,282,775,763,077,060,234,351,024,718,541,281,207,542,571,991,875,
912,019,608,449,479,165,507,412,363,611,944,789,723,620,100,224,096,094,055,
123,021,667,772,119,483,219,541,615,602,106,975,848,824,451,330,729,169,650,
013,179,849,439,280,761,721,621,617,082,951,586,107,446,749,017,216,600,271,
540,796,973,352,070,701,457,780,086,109,409,079,871,641,212,977,571,131,565,
299,408,445,696,051,860,261,495,150,898,270,182,427,420,848,647,173,644,002,
446,506,300,576,504,428,103,270,059,640,878,916,443,761,832,606,446,356,334,
693,532,353,900,967,659,592,938,096,120,371,892,066,800,781,777,030,010,730,
803,313,988,579,086,769,961,020,894,904,881,030,889,537,298,440,984,271,521,
861,376,563,978,736,003,712,049,751,172,475,160,593,329,691,218,644,102,735,
363,352,188,940,216,462,324,854,383,569,864,766,309,077,744,441,709,657,300,
795,451,646,813,079,275,573,356,806,470,064,355,922,581,535,721,768,433,621,
384,048,005,721,255,888,422,150,547,257,895,279,633,699,783,344,465,483,159,
669,450,385,314,213,633,360,460,451,345,575,591,169,268,333,345,831,934,984,
794,051,112,415,746,116,658,793,311,821,685,623,477,690,815,048,867,449,084,
325,622,049,414,037,576,422,945,367,957,302,245,010,738,646,912,837,969,450,
525,417,873,229,390,069,982,209,559,664,900,407,260,696,567,520,821,180,224,
791,559,073,825,639,230,491,180,989,525,441,755,792,740,569,252,122,356,888,
030,925,040,460,735,033,671,002,798,390,853,620,416,311,034,820,132,080,660,
525,754,124,035,376,333,403,010,316,886,263,218,621,079,195,845,907,171,096,
570,085,544,489,770,657,408,540,985,951,110,152,757,265,865,302,873,123,208,
448,656,946,916,484,270,187,384,965,765,199,487,751,263,807,548,138,284,845,
110,694,538,725,150,367,533,003,860,589,025,259,485,118,998,848,816,914,387,
395,798,696,557,911,013,672,518,752,072,263,680,512,680,418,720,051,553,930,
523,395,544,506,536,681,815,962,610,868,135,032,520,284,960,453,978,648,399,
535,644,367,745,540,055,677,712,244,538,500,151,287,218,333,978,203,854,599,
303,541,851,548,487,960,135,423,968,063,042,830,497,382,441,561,503,416,789,
100,005,582,042,367,110,018,330,137,514,651,893,797,585,446,072,121,909,156,
617,592,760,071,563,129,018,272,144,314,113,718,807,873,519,263,601,570,356,
232,343,374,844,104,920,208,167,939,538,203,634,701,460,571,186,230,079,780,
288,895,753,300,717,377,268,829,500,972,047,643,017,518,908,926,249,397,604,
060,007,620,273,550,302,590,266,289,214,850,883,307,548,838,169,200,735,388,
734,171,594,518,551,595,547,461,267,210,526,787,189,342,990,453,303,750,825,
144,769,787,517,424,291,684,923,871,626,831,403,335,216,524,696,995,981,976,
122,155,471,319,677,730,112,904,475,704,477,040,799,643,369,357,612,293,428,
137,086,245,318,450,804,689,900,147,844,617,321,059,893,629,290,284,367,537,
460,555,382,842,615,228,207,893,656,152,972,316,632,661,335,633,362,415,564,
445,535,501,739,854,835,820,413,191,557,240,460,519,899,788,951,168,518,493,
036,495,469,348,608,667,498,582,621,984,284,760,596,851,586,388,655,255,402,
945,859,524,321,860,618,401,157,724,436,428,698,696,396,503,986,404,422,317,
985,674,824,295,573,178,207,205,884,052,667,045,032,370,202,411,506,531,236,
861,782,093,587,307,955,170,374,204,144,780,464,935,820,034,198,237,757,848,
492,440,164,870,273,691,634,441,497,502,551,208,382,373,209,225,617,922,680,
912,435,247,522,750,848,086,824,422,390,120,371,428,110,125,150,320,664,276,
542,392,955,806,141,368,880,650,553,810,451,299,925,171,573,757,501,332,850,
576,031,645,825,879,654,978,214,893,209,561,814,747,707,841,240,176,044,485,
971,161,042,954,323,248,246,874,863,143,827,287,188,913,592,068,855,895,265,
885,347,517,458,257,135,473,941,209,023,918,278,717,221,000,599,535,777,376,
649,022,064,734,918,739,063,615,436,396,878,829,925,992,786,194,140,840,991,
415,722,501,070,762,946,478,525,140,181,121,561,141,270,566,326,841,032,729,
430,678,935,041,173,869,098,520,401,519,304,752,455,837,841,395,942,353,909,
034,762,430,585,783,114,932,016,178,934,801,447,180,901,628,523,836,837,551,
116,380,693,107,387,557,581,489,408,141,770,711,755,528,070,268,959,518,917,
510,253,834,903,537,490,305,357,356,095,186,925,017,889,904,635,991,089,672,
118,062,575,107,863,550,897,283,313,962,799,127,315,299,473,381,795,524,381,
503,092,660,897,945,463,594,249,629,889,471,769,742,644,088,950,562,865,117,
737,413,895,411,097,719,991,831,511,379,935,119,473,816,665,237,683,977,476,
688,514,346,513,549,488,524,631,983,389,152,273,232,165,353,718,495,166,943,
474,777,591,523,739,613,449,862,653,332,656,014,068,362,410,070,099,159,622,
108,301,921,960,019,801,998,719,832,461,363,276,218,629,652,564,994,503,286,
417,016,750,016,333,211,830,168,822,855,054,822,176,037,468,753,542,739,528,
973,763,919,356,762,338,445,365,703,005,886,814,580,844,352,514,136,447,049,
555,188,888,163,793,090,770,736,653,725,282,865,052,476,024,779,467,103,007,
584,256,517,580,459,584,665,745,738,892,279,988,545,502,901,309,031,320,966,
349,466,172,990,351,781,649,177,228,031,726,038,862,100,898,034,866,186,502,
215,853,644,627,923,947,806,970,368,511,941,102,394,308,541,081,481,227,482,
490,036,182,546,002,284,959,078,656,142,913,012,684,456,716,422,496,924,625,
568,896,538,076,208,659,119,052,687,023,628,809,549,806,406,007,351,895,247,
764,523,263,625,048,063,568,985,603,579,308,807,472,162,242,864,780,338,285,
551,534,168,125,161,392,109,670,158,550,085,238,848,500,011,812,536,374,726,
593,526,657,189,908,221,357,664,518,416,715,478,065,978,843,406,611,193,905,
279,287,617,200,972,218,841,527,662,396,388,252,268,087,829,728,406,224,786,
344,368,444,687,452,717,597,477,587,912,411,368,404,532,074,720,356,877,573,
913,754,860,358,848,008,038,768,273,047,968,832,040,509,508,654,829,749,233,
399,564,664,692,117,987,738,933,052,881,127,770,043,125,025,830,791,632,204,
466,921,444,591,262,742,079,472,509,201,499,520,129,897,361,672,888,977,967,
569,284,108,983,817,514,936,367,639,849,438,923,035,584,991,630,211,130,714,
846,845,145,145,903,864,807,825,344,781,527,832,866,920,739,883,915,119,438,
914,895,114,839,464,065,011,953,867,358,956,133,493,168,074,105,892,767,298,
715,377,044,291,843,007,270,039,353,536,937,110,889,602,955,361,718,295,069,
681,126,984,956,382,028,294,045,454,080,878,570,967,474,838,767,300,554,066,
713,623,756,335,702,386,760,777,285,270,899,284,708,588,527,581,285,784,465,
283,552,055,478,191,259,362,972,574,277,961,333,679,606,071,357,867,185,511,
823,280,768,409,532,794,629,905,758,632,003,377,361,816,021,457,992,251,139,
237,563,249,035,596,826,299,958,878,063,154,709,449,491,939,221,634,254,702,
484,311,576,672,506,378,491,962,809,820,229,577,482,009,800,508,941,218,613,
619,840,480,878,790,886,539,305,349,946,416,726,439,586,151,609,256,058,105,
124,250,530,684,153,157,786,201,632,426,939,997,832,016,615,514,960,084,785,
951,091,690,315,794,692,332,195,563,801,131,859,534,154,484,964,293,105,788,
215,419,715,340,279,314,322,052,073,064,727,131,443,828,412,716,108,998,616,
297,884,064,686,033,057,152,758,283,286,574,211,250,029,748,163,252,018,312,
028,970,860,520,472,731,005,299,812,009,956,061,606,206,829,353,047,408,423,
080,662,167,663,508,135,198,125,393,611,861,259,360,210,039,676,523,066,902,
224,743,083,762,134,186,505,670,128,357,348,851,992,936,750,114,666,736,193,
818,245,485,609,111,008,896,079,108,128,680,597,542,530,747,696,481,332,206,
434,685,956,873,965,569,641,270,845,254,602,168,157,726,815,215,109,230,489,
909,570,494,514,995,913,441,069,435,515,836,002,053,140,091,363,326,947,995,
187,485,207,804,582,232,209,369,125,603,779,562,705,567,934,470,924,877,407,
491,740,745,579,447,973,124,791,355,994,024,011,069,369,273,286,811,931,295,
509,624,973,832,020,843,480,480,024,755,745,135,123,969,122,753,346,769,363,
584,594,274,827,442,851,102,317,093,705,930,659,333,573,019,333,923,524,566,
171,011,095,101,797,943,566,873,406,391,128,505,573,302,453,448,845,429,681,
905,781,647,425,687,517,657,163,273,735,018,486,371,010,559,023,549,864,173,
296,929,920,513,347,904,469,280,859,191,762,546,901,372,167,394,796,305,364,
327,717,578,587,122,109,084,345,278,600,266,494,873,122,418,563,136,413,646,
977,746,532,712,444,521,195,334,868,117,039,907,053,520,064,151,240,929,606,
359,015,640,412,059,498,833,416,044,258,942,162,487,900,517,909,278,404,487,
497,695,986,167,441,221,193,959,847,725,663,335,323,748,377,358,743,820,678,
752,082,997,429,171,760,252,791,112,196,704,746,436,939,175,352,563,920,214,
198,944,967,873,261,748,149,139,285,426,181,061,151,594,479,670,239,410,088,
324,616,812,205,237,954,806,176,678,263,716,314,327,924,270,100,879,468,732,
454,233,152,818,776,635,133,703,874,645,845,062,990,280,824,237,447,550,704,
220,551,393,793,794,853,663,046,828,550,168,152,740,800,965,153,628,070,440,
395,176,611,636,510,506,923,290,580,373,870,510,028,982,147,803,043,677,133,
902,727,541,205,777,559,411,910,846,379,352,568,580,523,418,561,071,088,553,
826,711,695,285,572,507,043,644,548,135,584,538,262,469,820,248,090,510,607,
756,463,593,455,198,795,652,585,881,226,875,312,957,338,137,177,530,991,544,
049,533,808,175,416,721,179,372,859,457,878,079,330,739,033,408,839,177,477,
708,502,181,641,541,414,382,390,950,710,924,716,014,654,134,226,765,666,180,
885,616,357,706,791,739,350,269,013,877,441,910,152,314,617,351,720,841,555,
266,841,317,316,114,016,194,079,971,383,074,506,208,323,877,208,996,472,317,
284,782,845,437,521,365,774,902,000,109,768,749,950,352,936,871,123,746,479,
464,462,706,501,998,845,024,862,092,310,505,175,228,494,059,656,985,523,497,
160,703,115,740,703,206,911,642,349,211,807,114,667,541,318,862,516,556,938,
690,529,373,331,897,830,025,216,231,636,183,718,544,792,794,070,703,812,261,
977,384,918,535,909,993,424,385,553,789,910,325,191,964,136,902,402,290,629,
560,162,043,008,014,232,789,387,211,368,796,671,352,722,164,232,400,726,669,
684,283,703,453,899,534,950,210,532,011,102,927,558,882,713,118,587,395,162,
908,223,025,071,638,833,788,895,386,152,725,465,121,668,255,452,133,119,597,
659,006,431,002,705,540,077,539,276,995,651,850,051,066,776,828,967,493,159,
237,857,299,973,537,257,565,059,028,770,290,616,341,723,398,026,355,635,025,
599,342,713,882,497,307,411,545,181,547,927,808,304,083,607,403,439,859,862,
767,001,071,778,920,366,622,554,625,020,578,986,740,679,627,338,438,979,928,
014,599,192,360,178,761,254,530,045,248,172,756,151,965,712,509,588,120,043,
571,253,568,484,305,039,709,032,927,623,379,991,020,831,724,847,257,168,870,
884,444,946,093,556,525,466,319,435,501,420,536,707,922,348,506,556,911,971,
101,340,332,637,760,876,353,417,917,418,612,281,126,665,150,495,172,279,883,
469,906,598,347,398,127,585,146,471,540,061,861,952,334,832,440,056,239,920,
654,162,554,129,043,700,333,745,250,542,556,562,837,939,360,744,805,788,375,
097,262,749,191,310,577,324,507,771,426,913,048,636,035,346,656,068,014,850,
295,395,219,223,081,621,683,174,377,376,378,659,008,258,073,149,978,166,544,
145,291,344,160,398,899,439,644,708,727,893,921,308,927,649,819,617,852,337,
165,666,029,635,447,511,139,745,671,644,224,137,901,234,701,287,910,584,385,
492,081,211,587,496,525,363,938,028,669,836,305,078,277,082,409,845,091,316,
275,570,007,048,704,641,988,830,198,581,172,903,007,033,929,719,657,916,285,
773,128,367,406,911,818,801,392,533,011,813,230,901,605,407,469,291,710,456,
644,873,173,122,464,504,022,400,192,313,321,871,385,343,256,255,349,219,430,
128,238,112,139,270,795,506,426,799,016,057,982,101,202,167,471,969,876,792,
246,159,728,865,068,145,850,453,248,599,137,750,431,079,712,429,258,879,347,
457,444,125,702,211,170,158,547,997,191,511,476,119,716,253,831,314,043,092,
708,842,265,210,118,294,425,190,138,307,546,036,880,771,527,546,874,353,955,
129,385,932,749,352,851,276,719,661,930,990,517,000,444,884,965,327,951,671,
128,752,818,276,997,001,711,911,569,890,275,860,581,898,718,028,748,355,252,
070,207,142,741,578,817,514,451,756,624,916,110,811,160,304,438,854,189,163,
973,674,475,186,807,385,506,633,335,826,576,003,207,790,413,509,619,912,327,
288,120,955,869,419,646,571,942,890,050,756,164,506,434,666,198,378,107,352,
673,543,526,741,085,912,906,885,743,705,303,015,843,756,350,693,219,546,372,
594,638,348,808,262,787,769,374,430,028,055,943,998,000,243,837,519,117,468,
229,857,449,541,734,829,077,933,048,122,425,105,002,548,853,163,611,626,747,
427,180,508,527,777,812,579,284,572,609,846,954,527,761,689,863,632,485,396,
987,900,689,491,254,521,859,502,373,716,754,583,841,127,487,488,618,429,447,
104,311,244,834,963,332,915,413,009,396,659,070,205,010,806,126,295,271,305,
422,498,416,777,835,127,563,278,882,356,396,734,046,528,647,899,767,312,857,
827,879,208,491,458,801,933,603,978,668,544,804,545,962,704,907,457,385,649,
981,985,392,928,667,085,930,895,991,890,717,979,971,998,867,599,596,454,096,
767,911,875,248,236,023,314,913,467,895,779,213,917,409,409,207,724,117,566,
659,721,969,846,042,646,629,359,487,247,447,671,049,517,037,858,403,077,707,
430,343,268,259,119,868,622,063,450,824,071,210,838,595,213,307,605,344,261,
724,629,391,839,819,599,396,973,448,373,854,448,663,043,861,770,218,268,710,
574,074,835,025,400,016,461,520,454,319,958,495,430,194,515,089,486,252,210,
629,422,855,178,651,160,059,143,258,361,092,700,333,329,604,779,795,673,163,
305,138,965,082,452,297,939,333,865,094,088,927,316,013,977,778,005,418,791,
244,696,486,072,118,503,779,071,768,622,093,917,392,004,161,898,624,054,773,
791,685,066,586,459,577,892,441,471,287,595,642,852,957,044,510,735,924,936,
833,021,170,148,353,968,115,247,414,571,938,854,721,552,504,751,884,193,256,
255,405,212,826,759,221,197,476,960,708,241,227,696,238,274,151,982,589,947,
831,669,721,986,427,556,828,047,721,188,049,873,254,452,755,823,964,340,339,
974,398,984,804,665,804,634,459,105,010,241,530,640,949,225,345,245,391,347,
143,471,404,813,482,868,466,731,684,733,162,501,043,840,173,111,343,445,859,
146,358,967,097,886,580,477,059,979,445,400,322,223,728,261,042,621,888,213,
699,424,965,346,914,072,519,879,459,473,942,143,020,582,098,552,271,450,842,
447,673,912,047,909,536,190,360,950,019,392,523,731,898,660,244,645,111,618,
124,440,859,746,691,380,032,679,989,595,910,962,047,890,450,842,704,285,582,
152,556,167,592,878,755,761,993,631,354,072,087,881,104,455,709,854,459,171,
157,154,794,893,819,278,809,694,238,710,281,501,386,706,491,607,845,688,612,
172,602,081,838,833,911,138,320,928,185,115,607,528,001,211,211,452,063,147,
812,510,076,940,690,501,015,109,851,384,878,670,657,320,712,853,268,611,288,
816,238,559,107,319,984,303,345,766,589,536,875,911,060,394,311,474,806,967,
085,034,504,079,193,390,182,914,663,207,959,649,510,194,468,128,021,974,178,
988,151,092,634,303,151,482,076,358,702,817,874,052,753,652,995,640,197,440,
933,265,023,378,579,748,815,327,258,892,702,955,429,040,031,343,780,370,124,
384,929,746,944,131,947,540,695,740,140,934,374,407,497,527,890,194,448,717,
491,022,244,665,869,739,452,796,741,453,603,875,706,458,918,866,610,574,992,
522,032,580,131,934,160,803,115,569,577,443,319,645,729,123,527,256,906,525,
646,660,533,489,624,493,062,664,594,404,124,962,066,934,089,106,981,781,927,
065,846,044,551,026,070,616,289,037,076,883,602,911,791,843,094,186,900,652,
220,650,175,934,371,925,442,052,890,934,203,148,934,761,613,084,767,641,148,
470,123,045,321,944,581,001,975,162,357,946,601,804,718,976,821,931,119,510,
556,019,477,427,877,916,869,514,391,342,572,163,149,648,157,672,206,063,559,
418,310,769,083,526,773,207,359,456,209,084,834,034,197,798,255,595,709,228,
970,352,318,989,654,447,822,784,605,786,832,624,997,714,885,458,251,050,399,
468,842,856,384,720,448,043,694,194,737,583,955,478,019,232,016,799,603,878,
858,884,960,711,117,230,176,197,342,561,263,020,074,505,336,404,546,781,351,
761,741,240,130,512,266,592,104,147,472,576,545,221,431,300,123,667,345,462,
705,028,808,433,076,869,552,601,727,889,528,402,148,320,678,544,948,931,537,
836,712,500,410,602,176,118,229,647,669,068,718,186,418,727,930,714,792,067,
112,548,242,808,594,532,376,105,036,375,859,033,262,555,988,502,444,909,753,
101,141,400,586,722,304,165,910,482,895,005,619,560,211,793,326,110,575,844,
328,975,162,217,253,771,086,746,921,286,154,002,410,392,697,094,111,251,466,
431,076,356,137,371,264,193,014,001,490,175,080,456,851,429,284,341,165,662,
168,833,083,651,404,667,625,618,539,203,170,598,752,689,794,002,295,859,149,
348,106,510,063,641,172,547,754,112,915,623,596,737,876,592,966,937,841,666,
600,342,957,961,067,302,787,057,248,692,033,669,087,564,370,564,137,550,720,
528,842,155,034,033,042,084,764,146,543,460,704,332,009,607,161,702,980,689,
965,839,328,220,638,692,357,684,695,917,342,068,644,649,397,100,471,328,900,
114,187,018,222,805,745,332,469,801,491,933,022,968,846,765,748,601,070,510,
114,923,654,928,346,155,261,598,279,198,053,727,339,998,741,621,879,414,173,
801,194,254,423,893,127,631,296,544,219,571,413,892,874,368,840,717,178,377,
395,442,833,114,600,122,045,538,832,439,080,335,818,794,128,648,371,316,062,
584,369,004,000,895,607,543,948,247,598,342,977,145,629,685,739,762,720,394,
018,390,191,259,319,114,809,632,594,552,571,588,119,321,090,772,367,222,842,
446,956,953,524,767,412,945,970,404,505,963,769,283,645,315,331,791,376,133,
707,239,886,759,778,513,231,259,293,292,699,325,067,748,290,026,637,997,396,
523,487,798,205,507,259,887,496,585,700,406,543,162,351,853,191,858,549,270,
556,927,034,263,867,536,301,448,989,155,572,594,671,045,895,502,511,934,644,
629,830,045,635,045,761,390,035,505,660,633,665,963,753,242,833,197,963,642,
011,043,896,905,000,584,222,826,417,124,287,941,215,748,617,762,196,203,724,
814,505,685,087,190,181,212,477,484,626,291,513,554,577,347,433,857,993,571,
615,984,765,485,422,051,804,316,320,213,526,545,599,404,642,509,445,879,988,
161,400,004,968,282,120,046,875,941,014,432,841,503,896,486,594,557,193,623,
976,151,412,302,255,190,023,070,586,396,654,287,046,019,431,546,533,203,595,
428,401,140,347,024,705,766,860,088,085,596,244,659,469,000,677,004,331,861,
215,686,644,732,437,336,353,889,117,095,790,998,501,429,757,475,440,917,183,
037,502,466,756,299,943,951,655,901,096,539,061,554,719,489,171,520,725,400,
415,140,081,038,152,195,791,055,499,312,264,035,778,229,302,927,088,231,930,
729,578,588,770,594,227,231,666,575,702,384,017,768,517,693,473,555,803,084,
395,116,102,803,208,872,484,490,366,952,789,469,961,432,669,616,358,059,137,
156,756,342,056,821,941,895,802,094,254,642,839,105,549,907,044,902,582,272,
602,544,603,856,843,373,885,830,945,474,993,108,376,802,089,343,908,035,106,
421,753,448,904,940,764,996,816,231,513,606,081,875,596,885,277,246,633,264,
649,760,218,006,554,394,838,834,456,017,244,078,924,607,644,287,928,109,652,
698,646,433,209,908,479,205,682,357,789,129,985,642,238,105,089,395,606,569,
779,696,888,740,100,400,470,649,717,784,160,792,818,305,602,114,860,633,490,
241,967,536,348,428,602,856,928,577,098,985,171,818,878,217,400,000,829,205,
951,670,563,744,263,876,077,900,447,482,933,365,930,226,405,953,340,305,805,
781,162,184,608,871,101,526,940,392,569,420,542,357,254,336,746,535,261,936,
915,542,594,447,085,485,532,875,159,763,743,199,172,933,557,004,486,409,515,
308,725,939,264,750,124,081,235,591,433,602,574,036,219,659,904,231,551,076,
177,742,708,903,861,474,023,283,324,306,997,368,436,157,579,182,344,830,615,
054,649,664,147,219,959,841,778,268,190,025,454,472,550,046,790,141,105,180,
887,657,191,383,537,858,468,078,550,439,904,192,660,824,394,104,180,073,137,
879,627,714,906,433,960,462,551,389,125,946,639,390,850,956,260,960,061,131,
675,620,342,572,663,201,894,102,416,917,080,901,206,558,371,018,608,847,226,
827,426,302,251,796,428,215,595,113,133,512,225,416,614,258,847,852,572,764,
241,521,316,884,327,898,731,944,848,715,955,690,931,282,650,800,730,065,136,
744,142,998,466,493,012,063,081,681,311,571,662,511,578,162,935,409,392,768,
554,990,006,277,685,005,701,036,480,284,121,852,970,543,405,007,129,627,609,
930,048,080,337,848,420,728,981,563,104,466,671,746,175,056,458,371,575,826,
143,425,848,569,981,394,443,250,802,498,959,869,762,484,306,252,671,635,385,
030,174,600,844,555,332,352,912,685,046,002,958,901,694,875,439,907,356,264,
222,679,597,927,127,869,800,047,463,201,839,215,369,675,731,771,250,511,442,
738,047,864,296,774,488,969,173,437,480,756,451,539,631,727,886,129,650,249,
410,248,174,382,237,839,094,029,355,427,437,583,526,659,083,804,138,974,805,
590,080,981,945,040,665,180,801,970,194,967,365,215,364,418,876,830,628,201,
355,944,898,047,688,000,015,301,746,618,331,920,248,385,478,156,545,388,355,
347,668,026,218,138,382,876,103,639,578,360,924,175,177,845,379,721,058,113,
741,569,487,764,547,993,307,289,008,843,359,974,485,101,295,748,940,216,169,
194,472,610,531,275,807,539,986,035,933,212,736,553,255,772,220,716,790,219,
385,672,054,821,225,483,898,623,203,691,923,367,181,114,320,986,624,134,305,
507,048,391,335,248,163,498,934,735,522,573,146,185,317,640,412,086,411,524,
865,586,268,418,560,840,939,081,555,026,120,548,357,685,059,190,663,982,030,
208,071,889,798,266,608,591,453,169,228,038,687,176,014,044,138,030,621,563,
388,742,531,148,682,028,404,063,166,231,804,903,697,620,394,526,983,568,144,
415,831,303,428,095,003,327,411,123,382,694,911,637,282,181,741,836,875,545,
732,412,198,963,372,023,721,283,413,549,199,906,499,452,748,663,274,288,747,
040,351,365,583,360,992,875,399,764,252,784,336,365,560,867,482,247,280,485,
388,196,717,753,828,389,880,556,263,218,929,142,382,107,457,502,773,864,924,
956,469,755,655,125,752,352,464,063,738,082,027,734,941,815,102,890,527,540,
412,429,827,899,765,044,143,163,477,643,927,006,454,888,552,611,749,681,519,
795,018,735,878,563,386,456,079,241,745,455,284,484,286,686,835,642,963,048,
078,731,330,944,554,696,933,624,447,358,277,237,896,181,168,726,099,920,704,
799,381,500,068,941,943,399,820,177,445,497,377,935,228,390,543,975,195,252,
749,508,952,998,283,460,737,604,097,337,193,651,417,414,216,113,231,483,992,
453,698,638,333,963,895,180,724,034,044,006,466,847,428,627,151,287,963,411,
825,559,492,285,877,623,593,533,964,867,210,475,651,473,924,378,208,805,071,
818,199,220,341,074,575,956,757,895,593,514,073,316,872,121,955,699,451,954,
995,318,792,215,404,233,048,291,695,257,705,448,335,846,568,056,416,193,970,
759,655,556,847,152,267,063,744,015,550,381,407,420,636,608,188,693,439,039,
861,840,043,143,784,257,942,526,795,942,086,661,010,029,687,145,018,924,372,
331,464,056,127,269,729,704,133,771,879,555,764,118,263,360,898,204,215,597,
865,321,490,157,624,388,368,644,175,242,242,742,047,149,270,212,894,401,473,
766,255,424,682,454,518,154,334,413,791,469,350,113,836,617,686,059,385,984,
306,828,453,223,427,420,080,040,125,671,413,524,072,721,617,074,806,379,079,
352,663,347,419,727,282,656,493,376,817,942,021,614,156,649,700,519,956,793,
912,496,994,345,255,712,325,246,941,933,600,547,641,135,302,245,798,877,144,
639,628,225,659,944,743,525,937,446,048,834,638,734,327,866,055,378,764,490,
311,466,898,815,008,670,912,921,723,361,182,827,879,732,013,072,598,479,370,
894,870,160,622,745,291,896,382,367,836,456,380,262,069,794,482,013,146,040,
826,073,330,248,715,789,543,580,259,804,050,740,012,385,791,449,136,264,242,
537,599,292,221,440,641,547,791,390,392,974,398,753,711,829,793,458,927,898,
071,655,338,971,079,028,307,769,666,754,836,119,637,572,848,338,618,828,648,
898,360,897,499,907,232,514,596,732,840,316,342,363,869,283,027,534,915,391,
508,965,979,475,795,140,885,242,591,738,330,291,651,292,942,686,310,302,407,
831,367,572,537,686,678,152,759,577,199,484,321,904,863,073,744,534,240,282,
423,150,968,910,664,354,382,892,006,971,007,129,639,250,651,043,986,504,739,
418,371,569,019,299,626,006,313,416,087,955,693,851,629,741,674,108,336,135,
077,057,756,111,210,423,852,726,554,226,745,294,280,947,818,952,920,189,050,
646,724,243,952,407,133,923,786,697,130,946,327,797,901,180,334,858,349,951,
751,212,097,859,696,883,309,192,688,927,825,938,522,344,381,218,833,756,502,
841,916,717,167,995,492,274,408,868,153,442,412,985,242,539,785,221,724,113,
446,489,840,065,825,005,147,645,179,691,507,865,146,481,429,164,209,419,205,
404,692,759,946,349,597,121,463,557,668,902,633,115,788,597,015,544,136,943,
469,134,853,742,626,678,503,305,128,432,080,642,274,962,908,171,420,482,039,
515,155,132,149,780,948,163,735,374,097,645,695,980,956,665,654,935,583,499,
243,782,821,193,935,200,567,434,954,351,592,623,955,937,217,297,189,505,881,
910,199,785,833,198,485,070,701,484,110,968,376,332,356,653,812,773,301,495,
890,591,336,068,944,563,038,271,405,391,320,662,215,184,944,017,844,572,875,
120,513,912,803,464,380,457,167,301,804,061,494,476,373,505,605,868,650,606,
682,258,356,346,209,126,668,004,550,665,472,696,632,793,383,712,505,109,401,
374,185,351,983,206,275,553,954,166,880,786,597,754,925,064,586,113,740,590,
179,452,160,635,832,742,220,424,884,813,780,977,959,657,825,437,703,427,091,
251,110,639,027,661,456,764,431,143,804,409,832,518,304,852,258,940,418,762,
785,055,254,375,624,343,097,272,787,270,109,704,705,063,877,845,599,019,626,
347,418,100,236,833,786,046,787,526,904,179,393,900,206,501,832,710,217,956,
017,807,535,763,855,441,450,888,648,067,644,181,078,732,504,596,666,985,596,
859,738,663,914,937,311,592,014,620,544,901,648,707,122,815,023,125,079,305,
759,117,850,486,620,374,862,388,423,769,420,035,468,006,927,079,931,373,394,
485,972,198,658,585,249,873,061,440,738,128,590,803,954,264,858,213,738,348,
872,804,840,335,083,101,315,453,687,996,391,015,765,239,004,561,505,065,986,
523,140,601,836,128,545,685,627,315,789,850,481,860,102,016,051,544,669,076,
490,342,241,749,807,224,316,083,291,132,617,255,557,600,976,524,240,928,361,
154,961,938,483,502,532,159,881,422,915,582,168,361,528,614,128,030,462,031,
342,611,439,234,744,590,010,333,189,655,832,737,554,957,146,462,450,343,030,
422,934,601,860,819,908,970,752,490,118,863,137,396,315,663,479,895,160,329,
245,560,350,877,774,896,532,209,439,405,680,511,701,354,522,490,702,789,261,
371,196,830,796,171,398,746,163,233,762,061,328,376,599,273,507,670,116,655,
700,702,562,287,781,789,404,725,059,247,686,933,093,728,619,737,863,167,038,
982,555,479,565,714,414,913,122,630,520,698,882,190,606,460,815,089,398,752,
029,121,162,841,454,364,201,930,368,248,987,497,936,002,669,642,032,805,377,
416,374,216,526,060,942,302,170,582,416,940,612,047,783,466,828,841,224,632,
267,592,710,037,822,899,243,622,394,867,216,565,567,455,687,437,860,351,288,
312,026,803,010,180,690,236,586,436,568,293,660,412,527,606,156,122,416,816,
029,003,521,059,421,187,755,196,698,741,472,489,276,233,789,643,262,884,235,
390,115,479,169,236,683,039,847,652,433,845,917,592,921,913,085,447,118,414,
603,223,723,594,676,461,063,964,599,024,919,861,547,266,892,209,115,204,099,
759,953,596,862,323,075,961,450,358,962,568,339,954,829,425,824,048,256,998,
110,772,065,963,635,145,429,022,929,748,635,211,283,019,113,420,350,611,024,
642,830,734,174,694,623,892,182,723,927,651,661,006,251,594,872,624,806,311,
586,565,441,038,641,034,957,913,562,982,030,964,181,645,062,209,915,530,977,
278,356,365,199,857,487,126,117,201,751,228,028,654,680,407,959,199,605,721,
053,318,078,396,614,052,679,256,639,877,230,635,402,854,514,446,457,917,199,
496,779,280,396,596,468,937,104,768,725,099,419,492,325,667,491,221,433,699,
733,595,103,822,519,072,270,001,095,340,251,857,403,712,207,363,067,042,147,
266,954,243,596,599,303,073,245,681,361,559,237,904,311,510,125,530,384,911,
423,962,302,422,590,465,940,773,452,477,165,025,735,076,103,508,293,374,051,
866,792,329,882,268,792,657,716,546,104,522,250,670,125,393,354,681,831,657,
234,884,495,421,132,611,883,515,586,267,429,246,340,187,993,519,882,001,806,
857,545,738,636,292,271,357,063,193,334,925,683,017,908,407,335,037,600,488,
996,773,876,324,218,874,541,251,773,393,767,968,287,206,958,254,181,814,941,
925,868,712,772,380,870,168,343,310,746,491,950,260,680,691,611,001,163,765,
722,096,663,683,680,521,339,592,546,884,903,518,589,788,255,466,303,594,367,
344,153,692,422,169,114,357,064,651,274,197,528,574,630,628,968,605,931,312,
324,493,859,284,358,502,280,581,720,858,813,344,042,741,793,967,085,938,438,
296,008,810,155,894,715,461,471,910,566,109,491,000,824,719,185,054,725,175,
927,496,626,946,522,290,624,519,871,464,511,057,249,656,236,552,629,845,895,
733,294,912,557,433,587,125,567,456,970,804,806,539,032,775,516,551,435,544,
358,752,657,044,142,808,938,904,375,258,808,112,744,884,148,339,436,680,518,
969,378,106,725,573,756,925,394,295,889,053,521,422,221,134,904,005,296,739,
503,677,798,075,504,032,224,453,250,729,377,774,731,076,677,182,336,426,575,
325,733,349,260,703,612,885,247,997,323,286,718,608,439,871,732,759,769,328,
985,868,747,702,039,832,679,980,547,654,157,831,793,281,193,048,300,156,315,
538,366,843,123,849,126,674,070,651,160,781,504,521,882,371,323,136,820,145,
900,779,810,678,814,507,793,905,144,799,950,284,925,593,633,004,183,656,622,
319,049,170,541,110,806,875,586,012,812,187,583,564,407,314,800,652,497,177,
288,963,158,141,349,291,122,861,838,575,000,854,025,375,103,615,191,734,346,
830,622,102,530,113,691,482,716,770,200,890,848,926,629,899,748,341,008,582,
528,475,743,709,615,926,812,652,443,457,603,833,139,017,419,995,038,502,701,
942,241,142,822,934,046,332,587,988,110,016,499,132,231,378,630,999,651,344,
488,992,933,272,821,834,201,240,274,116,726,268,428,438,325,171,930,358,211,
821,794,919,869,134,997,563,679,278,033,227,765,376,577,095,860,249,253,693,
508,456,626,837,403,595,551,349,432,596,890,371,362,273,468,520,499,565,660,
195,123,798,251,109,808,115,936,075,758,003,371,341,666,095,018,648,519,945,
126,416,479,067,503,933,809,997,481,562,008,362,719,150,862,156,874,679,413,
222,690,105,073,625,054,796,256,546,086,278,276,195,182,707,508,267,783,712,
743,704,734,948,268,374,626,701,954,717,011,885,072,694,453,677,637,060,815,
879,126,243,223,934,521,965,883,078,991,344,187,961,115,602,057,498,270,817,
846,616,426,395,465,453,553,026,840,988,460,948,503,382,500,849,787,287,142,
435,126,559,961,453,910,301,166,867,451,368,044,019,277,212,327,217,829,459,
249,294,833,428,090,568,138,949,278,178,035,727,049,291,777,486,328,060,616,
264,751,679,617,277,508,412,896,061,084,825,787,593,659,611,530,933,477,756,
713,057,506,965,282,182,882,756,793,341,782,291,493,700,829,234,198,773,802,
471,396,322,854,201,426,583,942,467,943,102,871,989,350,295,421,213,311,527,
333,407,738,985,300,353,398,085,056,006,767,330,744,342,008,278,773,258,033,
362,945,871,005,141,409,961,059,783,669,001,992,692,851,823,268,743,175,980,
073,353,220,067,192,226,238,043,076,275,537,347,260,989,119,147,282,901,811,
737,996,763,022,982,830,729,831,760,874,683,288,295,798,222,855,857,517,570,
615,191,527,577,818,556,333,555,255,143,263,214,943,961,802,665,158,227,159,
570,466,455,142,979,629,067,809,405,487,369,408,167,488,637,688,121,766,308,
897,334,866,222,282,684,116,355,313,259,069,475,919,742,856,802,775,875,031,
847,081,717,719,220,376,386,857,086,275,711,695,216,368,421,426,040,162,577,
048,116,436,172,750,993,620,295,397,901,669,622,390,117,465,397,683,113,133,
204,246,728,549,549,827,525,468,229,218,364,365,123,506,688,203,372,101,696,
805,304,772,437,214,942,813,267,482,079,721,688,717,681,208,270,247,718,260,
993,171,206,641,067,743,753,281,996,593,983,883,156,441,982,772,493,136,224,
143,345,503,280,104,689,769,371,889,187,945,453,714,475,990,609,612,697,864,
056,355,064,590,990,911,153,716,466,988,003,380,738,924,940,776,955,599,272,
944,943,424,306,253,146,193,759,525,280,666,759,574,904,751,604,215,306,583,
497,087,838,909,533,604,307,129,120,408,505,641,577,886,581,912,845,923,691,
363,087,572,710,294,905,206,610,289,364,732,171,105,889,409,355,001,334,048,
847,111,673,300,048,241,244,076,764,819,988,327,721,509,202,025,557,069,356,
090,719,629,569,480,596,771,045,542,887,444,612,127,914,943,456,381,526,362,
242,551,320,524,035,021,251,906,589,417,650,982,204,050,211,720,480,218,081,
067,905,649,463,632,883,282,304,619,561,126,011,211,995,589,850,653,208,986,
439,102,317,209,009,348,835,675,015,797,906,216,061,300,523,041,617,300,866,
482,925,157,439,945,330,267,264,766,175,269,355,308,828,170,560,799,571,270,
602,440,559,758,500,464,724,236,261,033,988,328,704,450,026,666,895,788,657,
252,816,711,883,451,966,593,973,130,664,903,579,058,434,055,435,889,583,899,
125,216,608,468,212,921,432,469,543,516,202,728,889,527,557,634,674,176,081,
890,827,121,298,836,931,594,437,276,271,364,650,265,899,956,905,146,191,956,
192,662,145,674,899,438,935,206,711,002,874,448,760,601,741,196,535,478,005,
051,612,793,328,876,855,730,609,878,745,610,303,896,401,635,185,017,015,765,
019,809,215,684,667,528,445,132,206,536,963,542,573,043,894,666,622,318,582,
314,976,595,441,393,643,157,592,478,013,303,480,752,215,361,165,214,793,310,
991,986,409,669,105,659,896,459,150,874,429,125,808,564,477,811,833,822,181,
229,639,135,324,825,523,914,799,719,617,634,225,063,762,067,013,279,959,516,
228,761,302,483,440,102,275,785,080,255,770,981,746,887,541,268,296,796,012,
355,385,547,710,168,343,794,261,686,175,260,543,948,580,806,571,097,327,287,
862,185,818,472,940,014,459,614,893,854,500,557,323,451,224,939,932,745,873,
249,372,621,015,613,595,110,464,663,269,051,885,806,478,100,752,692,381,447,
934,568,286,285,329,420,826,355,309,368,967,158,094,206,972,326,449,361,513,
039,883,376,331,585,220,911,941,282,313,324,941,470,580,417,175,081,505,732,
741,862,316,843,957,187,895,639,875,812,334,821,979,978,488,487,457,004,620,
593,497,987,944,192,888,698,706,956,737,964,385,710,557,244,178,472,517,652,
452,243,548,432,192,601,349,658,533,764,541,479,337,591,289,672,994,608,043,
837,162,875,310,005,154,962,547,620,901,360,971,944,277,252,958,068,762,790,
596,838,346,626,421,079,848,818,114,394,621,075,532,467,654,333,587,811,359,
666,989,687,675,216,281,702,359,553,353,923,371,356,741,487,877,050,067,687,
540,622,381,766,558,377,312,532,171,110,971,057,578,178,392,401,276,895,538,
358,652,771,249,943,548,117,362,354,022,647,908,976,798,886,335,611,577,567,
525,580,577,267,824,002,124,418,788,171,290,508,916,415,856,937,267,979,554,
592,552,289,742,878,808,589,136,207,897,948,649,583,720,481,912,229,444,780,
814,383,362,780,697,968,636,079,820,773,616,512,975,770,566,068,916,812,963,
946,949,907,365,563,817,926,426,503,018,225,199,497,633,323,362,873,876,226,
630,274,673,828,270,490,786,825,299,467,341,707,481,963,663,423,273,822,117,
134,818,396,548,898,221,080,558,480,860,602,491,038,825,684,592,636,060,249,
322,968,804,226,171,957,635,520,416,286,227,829,535,602,703,993,651,335,115,
071,825,283,328,490,096,604,091,914,414,197,411,356,244,569,736,559,085,987,
398,215,872,185,122,038,986,914,514,037,880,017,007,900,147,405,727,611,064,
776,805,288,734,394,980,200,045,645,615,990,740,996,434,189,023,891,193,953,
021,114,641,356,549,852,324,980,930,636,203,310,125,289,933,943,307,995,415,
658,347,783,838,822,941,483,354,292,935,949,065,187,094,840,258,978,406,478,
850,310,362,529,802,268,274,821,060,451,322,938,833,285,520,581,753,388,570,
288,032,957,935,177,712,316,768,229,442,668,444,649,560,111,051,228,380,691,
929,761,238,375,832,802,317,657,228,157,229,183,031,069,806,327,049,153,882,
725,411,534,048,744,078,038,823,780,464,307,023,910,079,132,928,886,505,711,
474,589,671,507,275,716,926,034,953,853,642,741,206,705,394,845,268,776,879,
734,056,611,968,156,817,557,119,438,507,795,051,015,144,049,313,358,620,705,
597,892,650,037,775,154,645,670,691,850,270,778,500,347,763,912,049,383,343,
478,891,792,206,009,993,159,785,774,956,854,663,729,178,339,298,673,190,417,
409,509,954,285,537,154,860,466,486,769,744,936,656,837,322,068,503,548,783,
280,938,976,152,166,397,312,819,836,714,299,095,292,159,625,878,430,384,405,
980,836,536,584,891,537,592,780,384,232,466,628,804,841,167,801,971,027,341,
310,820,169,843,758,590,332,639,819,237,457,657,866,761,675,771,951,618,832,
031,880,636,959,568,617,389,351,406,284,342,350,663,362,230,257,298,460,317,
063,418,236,912,532,180,503,030,544,673,048,099,174,990,808,747,457,101,804,
037,674,897,224,536,740,624,926,912,916,909,831,206,525,680,621,887,933,939,
503,873,531,599,518,192,873,100,748,210,600,715,155,514,169,324,497,012,567,
855,912,226,039,137,160,106,022,971,810,122,914,809,481,484,569,571,069,545,
869,882,330,212,525,692,404,874,842,352,204,344,796,257,866,695,703,789,075,
304,372,645,393,004,852,747,787,000,246,523,737,836,168,765,910,194,292,029,
712,703,480,667,733,302,978,792,383,652,335,183,045,170,444,119,502,372,574,
719,241,057,750,824,989,969,591,888,053,358,339,592,861,647,353,121,049,223,
122,795,487,926,196,193,103,983,788,575,095,484,259,060,875,758,550,221,767,
450,049,941,148,036,993,405,130,094,340,234,306,446,505,220,663,242,817,515,
640,460,073,916,598,516,228,842,324,104,137,215,265,582,437,158,110,048,989,
651,785,976,856,307,555,886,305,106,101,969,520,637,852,045,076,766,998,247,
065,511,229,360,475,875,533,152,470,421,532,656,732,834,904,895,975,688,559,
360,300,572,357,150,999,532,928,163,653,067,873,074,373,388,039,134,526,417,
449,788,513,588,790,976,255,936,312,057,919,394,893,389,761,675,741,339,442,
534,388,745,844,095,067,550,253,541,010,222,079,261,605,837,073,895,033,850,
175,706,551,486,353,005,930,597,454,389,521,157,898,279,980,096,571,190,036,
067,804,205,595,858,701,695,100,939,908,687,070,996,358,329,595,225,990,046,
230,266,909,438,885,934,451,745,074,448,702,505,638,114,379,080,947,288,504,
928,088,333,412,108,901,016,156,701,770,839,012,030,920,029,254,558,747,261,
911,985,612,897,512,855,973,413,961,951,302,170,425,517,378,575,230,812,150,
805,045,689,335,452,683,591,156,351,945,704,199,626,900,473,982,463,014,533,
242,075,973,045,923,777,518,309,317,032,934,236,934,723,650,183,034,815,556,
675,177,805,680,267,839,683,600,624,941,942,624,401,767,718,731,571,211,025,
105,643,271,946,241,913,326,743,792,672,251,085,483,440,677,829,418,662,033,
500,910,382,036,450,425,389,577,106,977,974,797,955,444,809,284,140,001,634,
879,678,230,084,751,652,847,483,149,799,975,025,807,701,887,554,190,712,977,
183,873,076,020,394,478,392,510,803,906,440,376,813,076,731,192,068,848,511,
415,397,996,362,266,374,546,519,704,345,280,797,775,558,867,254,330,955,557,
360,604,720,245,580,322,519,155,457,305,419,601,618,470,348,813,772,394,741,
013,238,313,643,789,316,424,427,824,759,157,978,239,955,670,158,195,805,087,
175,300,204,156,723,365,437,972,869,154,709,720,668,940,152,600,242,569,115,
900,263,842,367,261,173,777,070,329,615,852,800,322,156,785,086,475,263,073,
157,975,820,793,233,274,410,204,543,995,610,898,196,009,523,927,655,333,967,
107,351,879,632,573,606,375,715,999,060,879,423,725,217,555,233,747,965,634,
012,724,539,987,178,821,045,756,962,318,939,650,768,894,435,607,616,029,913,
141,759,455,157,181,038,628,422,029,085,248,346,892,940,770,708,299,029,510,
821,553,043,731,589,780,641,276,294,149,152,041,155,500,662,791,398,336,000,
225,052,255,323,276,840,705,461,028,260,861,307,303,026,333,553,567,852,682,
526,924,769,860,008,716,255,338,221,787,728,017,432,844,539,355,568,028,728,
755,974,684,828,369,336,152,505,898,787,276,456,008,686,478,142,391,227,089,
411,108,411,951,136,768,925,629,435,902,254,145,734,675,935,004,638,465,149,
192,343,675,721,937,120,838,346,226,657,398,520,564,276,338,244,178,250,233,
323,262,936,218,623,479,577,650,863,868,498,888,651,771,969,098,723,933,422,
901,310,135,194,337,645,131,196,257,265,959,088,475,638,277,790,513,038,711,
709,711,931,455,176,896,140,136,914,347,014,006,288,780,537,434,125,339,391,
939,786,868,071,182,875,995,891,968,329,924,887,721,485,628,120,382,080,748,
819,802,426,139,100,643,555,336,331,937,007,266,094,264,083,056,912,025,033,
620,676,118,340,081,200,537,959,418,093,235,697,899,922,755,231,106,778,909,
840,323,207,140,962,882,921,739,328,161,065,651,948,758,742,083,284,484,174,
872,647,845,806,264,019,777,901,380,628,599,948,143,158,880,196,265,332,553,
931,295,806,081,929,210,104,983,088,988,352,774,145,871,093,411,085,299,422,
169,797,655,043,126,751,756,310,797,690,245,673,575,149,287,990,883,499,994,
934,965,928,426,072,592,581,801,638,009,073,598,002,478,116,334,465,606,313,
496,406,437,700,735,057,494,754,546,642,402,428,812,559,369,239,294,241,782,
392,811,310,736,200,468,082,450,518,499,609,301,844,795,079,167,175,885,005,
219,420,593,536,487,723,093,421,619,571,893,054,754,292,649,621,415,885,831,
414,300,127,594,709,544,941,023,188,330,943,845,087,746,789,539,689,616,301,
981,106,430,089,332,578,568,243,998,567,351,697,801,690,264,031,102,362,216,
669,498,375,545,842,212,635,060,860,162,142,644,979,923,836,753,450,921,974,
225,789,500,928,180,578,614,439,538,973,263,223,121,402,862,274,269,899,686,
739,283,553,514,838,189,480,710,338,595,093,085,102,934,116,461,748,195,364,
816,474,332,740,213,670,321,225,381,261,342,173,429,490,657,963,379,182,010,
527,199,143,308,636,816,540,266,300,696,808,787,970,766,300,163,503,254,792,
333,297,244,785,943,098,796,370,077,094,752,111,191,935,336,059,848,527,078,
562,926,524,751,100,554,895,975,878,590,266,413,694,380,491,571,824,125,463,
702,786,539,836,581,557,950,780,166,859,411,030,844,935,902,368,471,369,022,
588,199,251,621,692,036,861,375,281,310,548,594,519,896,538,254,638,757,403,
231,959,158,469,967,507,577,319,516,122,071,670,400,336,477,622,327,586,251,
575,563,982,115,998,643,837,470,963,579,794,439,202,275,079,003,862,089,525,
635,553,684,715,150,887,277,895,089,877,952,696,619,631,010,407,577,941,817,
546,480,174,335,185,890,667,805,697,567,071,531,091,915,565,239,338,333,013,
438,879,193,571,364,209,033,128,667,300,885,680,445,128,166,833,030,153,059,
953,102,109,994,759,590,258,355,621,745,830,549,557,501,487,802,107,471,939,
362,898,877,310,767,077,065,563,933,502,736,797,300,046,415,739,196,047,283,
977,317,933,131,301,795,134,202,329,626,771,168,743,244,970,042,199,587,235,
514,143,691,789,486,585,090,868,210,242,618,326,686,387,008,219,099,369,880,
260,543,915,557,952,563,550,219,920,456,280,055,550,287,077,735,098,824,397,
741,877,299,430,825,096,784,965,943,713,249,915,937,659,526,359,293,548,082,
245,805,226,982,007,347,605,959,221,114,234,029,573,060,735,329,877,318,236,
726,935,469,668,537,383,793,717,031,745,524,943,841,060,939,552,900,489,148,
199,510,283,200,679,801,667,639,673,833,267,251,543,516,223,717,238,696,986,
048,758,179,568,636,246,711,705,500,585,728,709,176,438,320,539,224,609,039,
809,418,596,015,927,384,153,676,984,618,294,281,581,756,477,155,191,155,426,
746,102,662,986,647,629,942,196,763,324,140,265,461,915,801,785,686,553,488,
626,886,942,565,450,997,328,513,911,695,617,180,468,179,746,466,024,561,597,
988,014,821,428,515,773,672,379,493,040,411,551,813,077,732,057,175,954,159,
362,814,010,128,321,563,640,742,035,426,236,577,438,650,416,034,120,667,956,
802,502,919,468,148,488,938,846,524,808,843,857,379,892,946,087,402,741,982,
989,838,043,434,359,616,565,207,792,573,972,965,111,925,213,449,477,242,318,
843,414,087,641,454,777,568,208,084,507,958,617,243,504,662,458,474,120,694,
782,859,524,400,096,364,904,088,605,077,984,123,585,980,546,013,747,571,194,
637,581,530,266,102,025,169,485,243,450,571,913,802,449,364,631,296,390,756,
516,329,261,696,176,734,874,030,559,597,722,143,802,311,027,288,852,889,845,
384,633,946,085,644,639,945,264,284,707,129,064,525,811,943,962,244,753,240,
408,167,530,362,169,284,592,038,848,456,335,711,185,146,722,136,307,803,197,
988,799,988,288,949,504,874,862,084,740,461,025,032,600,081,409,253,337,621,
937,110,052,528,029,418,857,427,497,454,418,765,318,471,801,647,627,204,042,
654,303,335,095,042,104,592,463,955,733,553,187,685,408,754,985,061,863,506,
164,102,038,098,739,828,458,124,825,702,894,226,244,209,996,992,156,834,100,
257,157,770,983,036,453,785,790,975,129,085,461,643,825,305,944,636,652,927,
892,647,706,375,211,465,680,162,845,669,936,656,615,081,615,309,046,698,274,
324,361,018,317,902,009,498,225,761,047,662,650,736,656,869,195,401,888,569,
069,135,888,794,119,830,661,993,775,915,423,538,861,392,910,780,213,638,537,
935,656,822,517,390,806,407,295,686,139,195,465,136,109,912,884,902,020,627,
795,188,400,918,435,688,719,857,096,636,087,965,358,628,295,767,346,356,076,
173,079,587,461,568,065,453,839,440,960,312,265,337,062,193,108,790,273,580,
190,830,364,422,712,392,633,543,926,382,338,444,773,774,441,154,506,003,863,
574,900,644,862,985,303,103,016,074,368,072,665,835,450,943,571,736,604,906,
541,064,694,606,819,156,136,609,521,215,229,139,289,378,365,219,235,028,859,
340,969,148,064,891,144,851,368,415,495,046,555,590,894,400,751,565,050,019,
620,003,246,805,419,924,226,232,570,590,396,832,055,569,565,292,328,304,464,
959,610,097,208,652,449,905,635,046,085,385,632,211,717,868,268,568,470,066,
754,986,267,287,043,769,889,325,344,317,947,745,993,046,324,965,977,393,533,
087,004,134,593,826,441,997,540,390,845,802,802,342,664,778,010,616,200,131,
116,175,989,888,454,729,251,077,898,771,801,387,667,252,823,518,931,275,776,
862,706,720,006,369,177,512,176,880,742,089,710,929,389,855,596,395,513,359,
194,842,982,101,552,771,466,128,239,988,080,289,874,772,802,371,184,960,158,
119,989,922,691,424,589,338,421,299,905,709,772,025,810,764,805,081,840,059,
951,738,766,991,729,330,650,314,455,686,895,478,632,134,054,289,838,209,448,
328,000,632,295,746,066,102,250,770,255,016,519,619,851,128,430,985,920,319,
912,329,284,074,080,984,930,385,479,043,098,865,765,173,339,301,755,541,665,
443,688,447,834,929,708,349,147,208,614,247,534,109,546,452,478,003,002,342,
671,825,575,202,323,369,369,321,072,568,465,917,796,018,669,992,195,657,620,
080,745,864,748,807,294,875,402,951,240,258,995,249,914,002,029,528,381,469,
534,765,073,096,480,283,512,789,708,028,786,187,311,000,758,991,901,111,563,
805,413,324,987,693,735,420,435,158,286,231,297,983,062,472,225,652,877,832,
239,897,461,816,668,327,494,370,665,646,466,082,074,955,600,838,569,837,185,
064,785,814,275,612,970,556,469,575,452,214,514,648,755,756,540,274,831,464,
504,539,677,145,654,556,535,747,683,003,104,623,986,055,404,466,377,342,919,
365,907,218,777,647,557,335,444,297,469,214,092,472,714,186,989,927,633,027,
088,904,205,043,373,654,659,471,593,640,326,033,089,405,342,130,712,640,051,
025,223,517,640,790,591,423,356,016,736,745,774,952,817,137,464,077,200,258,
224,316,315,808,642,204,943,005,499,708,550,190,086,576,836,323,331,726,969,
528,425,238,711,317,319,870,163,650,542,479,573,548,730,305,616,977,322,007,
892,896,951,521,924,235,642,130,520,502,236,927,284,411,207,797,044,175,011,
174,800,335,772,168,985,347,493,074,463,527,773,687,198,289,043,491,146,058,
160,456,627,500,981,441,262,718,111,166,474,730,164,688,981,450,499,631,617,
171,436,329,473,567,686,763,228,253,258,383,898,638,303,193,517,447,191,055,
851,297,696,699,368,137,772,412,905,354,659,239,063,022,600,527,607,351,836,
724,215,963,879,597,436,030,044,741,969,300,032,345,172,516,116,801,834,726,
869,128,171,606,215,354,704,838,897,946,290,998,362,520,165,079,615,598,324,
368,394,722,510,231,386,941,217,114,264,806,881,653,508,992,628,965,884,307,
224,107,556,850,535,803,940,948,300,390,471,521,287,084,541,201,015,234,410,
799,445,560,481,789,977,913,139,070,834,240,774,647,384,019,839,330,842,854,
602,312,164,220,393,743,795,313,482,182,052,992,412,582,312,441,345,254,332,
179,473,079,525,157,883,110,465,827,201,179,023,807,178,925,629,640,711,977,
236,975,579,797,351,413,877,021,106,816,590,751,902,306,129,557,630,043,654,
402,951,098,478,365,936,111,738,043,472,608,372,497,180,816,096,173,354,859,
124,612,265,042,848,268,158,815,376,710,583,637,414,461,704,783,816,450,997,
814,346,141,156,632,317,317,738,918,494,089,968,040,575,018,015,819,389,750,
976,121,377,531,186,334,657,418,228,510,467,383,685,700,863,510,354,856,177,
740,055,969,692,797,483,586,962,839,854,253,064,794,927,676,600,741,631,401,
841,581,471,073,085,801,093,888,950,546,039,604,952,865,713,950,742,578,112,
010,068,806,178,884,141,782,327,927,735,319,791,560,556,255,974,797,182,903,
321,336,805,917,381,173,759,078,703,692,820,958,739,200,419,022,667,150,110,
553,654,765,405,528,814,570,547,954,875,486,105,324,852,977,327,476,773,604,
572,134,074,255,627,746,064,685,429,058,372,652,845,834,806,985,184,021,288,
965,621,992,828,747,579,315,329,548,745,369,435,363,075,340,369,882,050,728,
841,850,535,359,034,201,543,552,880,565,103,822,538,997,219,474,405,955,774,
379,396,626,367,175,311,975,505,044,944,111,066,501,991,308,658,166,740,577,
832,839,604,371,888,604,486,001,951,517,628,218,677,300,145,364,164,684,109,
125,310,685,154,725,034,485,732,820,334,400,783,898,106,784,541,396,403,077,
810,324,253,550,941,409,325,214,660,208,323,088,214,964,240,643,118,428,945,
726,588,935,677,511,589,551,158,449,952,371,266,587,757,510,410,702,659,834,
616,971,101,506,420,398,199,085,943,280,624,793,652,768,257,460,388,914,904,
324,818,382,829,726,708,873,625,967,848,361,771,519,078,711,877,924,139,619,
375,190,078,430,289,618,474,719,385,283,314,219,717,507,355,752,881,415,723,
100,316,225,605,123,169,616,139,727,600,593,849,488,102,039,220,279,766,678,
660,067,255,057,815,850,294,059,101,599,359,775,316,104,024,537,174,849,039,
715,058,679,617,584,736,298,899,061,530,123,616,963,087,207,761,462,055,940,
325,219,590,723,417,973,418,997,571,090,110,197,293,390,158,204,464,250,342,
617,007,555,212,865,867,259,667,177,425,907,041,864,049,893,544,675,500,730,
178,727,567,429,492,132,861,017,913,900,440,731,449,564,313,986,563,905,852,
711,260,741,149,474,658,960,296,014,942,258,881,274,867,954,772,889,259,404,
066,839,847,799,981,631,386,112,853,817,484,155,374,981,410,238,237,430,708,
609,213,914,985,315,899,317,992,621,155,951,184,618,303,161,506,291,572,277,
558,156,875,497,023,429,702,396,386,678,985,240,274,595,256,142,785,453,395,
533,045,869,507,444,904,506,094,381,704,706,944,896,871,734,724,860,746,830,
942,364,156,781,954,858,953,276,348,364,726,052,839,274,048,187,255,235,937,
725,345,411,347,850,361,441,584,733,584,343,305,352,494,347,403,368,281,542,
039,413,314,798,214,437,259,144,854,099,914,231,486,590,809,449,268,884,406,
197,177,130,179,864,756,998,689,876,263,738,255,853,406,078,376,145,103,652,
045,608,621,074,126,952,008,674,119,019,959,717,083,951,484,349,408,734,750,
694,365,662,477,326,737,497,764,993,578,972,358,899,766,417,994,548,874,267,
412,813,314,548,030,484,165,816,637,267,029,294,747,952,344,135,228,052,571,
630,027,120,353,509,355,397,473,439,400,349,454,515,976,067,645,373,215,861,
566,670,617,836,387,623,738,570,750,865,764,604,448,229,056,682,429,964,682,
291,800,495,227,385,959,284,454,542,671,031,860,502,700,332,242,940,800,686,
800,256,944,855,397,652,283,345,091,941,662,489,346,890,882,974,999,291,027,
351,690,859,707,269,037,470,614,205,509,486,436,421,222,863,677,945,448,338,
099,274,977,242,390,863,757,915,806,070,984,912,853,449,399,714,835,484,704,
142,815,836,989,478,463,998,181,517,532,954,002,553,771,908,072,109,725,872,
604,536,846,446,285,639,796,748,211,505,474,735,538,739,930,694,283,939,168,
445,644,735,345,884,297,957,107,421,445,269,644,841,808,951,109,788,309,795,
805,720,234,962,869,558,828,814,669,375,704,580,189,730,461,395,136,065,311,
709,250,700,371,777,253,292,196,303,557,554,536,525,760,472,852,738,064,008,
241,294,647,737,851,757,779,323,058,354,231,447,750,457,711,878,378,556,676,
953,138,908,692,263,810,278,987,079,902,263,718,482,075,256,706,378,653,666,
752,879,389,538,372,506,359,136,424,277,845,366,086,569,039,758,631,736,889,
027,823,402,147,567,006,706,902,527,662,713,260,693,646,148,323,505,166,532,
309,455,171,096,829,494,096,179,064,495,815,811,486,106,874,161,200,199,558,
752,381,738,440,991,346,007,207,812,838,374,866,988,585,893,041,687,802,466,
855,117,307,129,765,466,561,344,994,082,584,689,588,679,790,003,306,283,746,
486,800,269,898,354,336,339,583,232,191,035,017,160,135,083,880,280,508,861,
394,376,446,946,899,267,091,964,973,780,080,388,974,436,690,444,424,026,499,
623,172,348,480,377,424,229,167,393,007,303,314,122,351,464,143,756,342,160,
261,946,551,705,523,685,754,032,333,694,442,538,614,300,815,108,375,155,016,
704,318,214,427,639,666,455,455,349,337,330,520,329,850,995,786,951,137,518,
306,058,820,402,706,293,511,466,891,040,852,040,174,549,661,740,741,671,249,
565,451,582,138,365,615,782,579,401,048,263,801,149,858,216,709,062,884,536,
851,326,135,342,883,203,509,543,989,841,452,103,426,654,716,043,536,690,438,
419,655,777,570,059,836,578,550,705,310,395,625,375,760,933,223,849,261,363,
307,321,367,978,213,780,272,488,587,408,863,322,764,125,491,481,009,233,802,
791,910,959,189,483,398,285,679,997,657,584,755,444,419,725,167,966,585,826,
396,079,661,687,980,914,789,912,978,774,178,959,434,205,134,076,486,367,960,
921,000,973,603,109,695,388,545,811,526,884,877,897,703,313,042,451,511,778,
177,507,815,293,909,802,829,421,114,507,633,733,905,128,352,165,282,708,846,
422,297,487,035,482,468,960,428,890,235,679,386,035,866,645,563,206,055,222,
036,529,572,656,186,014,152,198,875,615,605,672,302,387,287,221,020,299,790,
792,447,404,519,098,880,964,800,712,614,103,225,272,940,091,881,304,674,229,
331,122,392,310,799,127,133,613,097,323,969,946,894,144,250,725,175,108,382,
390,805,320,541,831,802,985,804,401,409,801,053,300,910,016,461,412,124,920,
947,970,424,717,433,183,455,602,000,661,526,095,070,716,126,274,521,942,210,
753,312,915,557,371,584,475,495,189,067,288,955,079,532,158,408,185,552,959,
248,599,315,176,845,264,448,243,094,066,675,384,780,301,868,366,246,882,926,
868,437,971,126,553,697,628,945,503,766,238,644,198,984,819,693,798,644,968,
162,134,746,573,600,844,106,626,144,130,391,437,755,664,085,273,207,969,918,
395,421,747,309,812,128,404,338,368,426,148,923,929,956,935,588,371,285,904,
491,395,413,269,627,918,327,023,991,750,924,684,267,426,494,208,428,359,114,
671,401,368,511,661,940,323,225,471,557,423,266,412,408,625,658,019,981,247,
005,218,074,711,241,205,450,512,733,356,680,463,317,414,435,626,501,579,364,
990,680,716,546,777,027,214,140,822,029,183,830,190,464,698,337,948,074,569,
403,215,947,866,902,180,680,326,075,468,080,114,578,174,271,133,261,485,101,
734,594,510,069,093,592,368,646,187,804,852,555,430,465,887,500,428,007,963,
728,666,315,598,939,327,861,519,374,922,441,718,981,209,995,001,662,767,246,
882,434,793,200,578,411,332,413,757,019,552,607,232,949,563,422,004,689,521,
718,762,028,209,055,533,910,653,014,222,528,857,505,234,311,172,708,529,917,
040,336,232,911,777,004,616,043,905,784,892,320,428,811,188,218,063,060,196,
204,028,808,428,748,440,452,096,488,848,565,135,427,496,066,247,414,636,732,
281,419,775,997,153,650,533,857,893,390,120,977,512,883,875,400,608,626,659,
521,367,189,243,733,660,761,434,592,314,900,494,476,685,199,695,538,341,411,
446,024,631,924,375,464,546,830,434,954,983,639,603,195,239,327,038,298,142,
550,518,887,672,412,341,165,330,321,177,403,972,358,703,768,857,362,613,124,
018,209,705,393,162,168,099,081,077,996,735,384,783,803,509,437,915,907,363,
737,256,740,267,821,637,031,258,759,305,879,887,531,246,868,881,472,148,809,
583,176,033,485,139,121,300,142,732,423,039,480,218,877,768,936,054,407,227,
490,960,887,915,824,893,491,084,002,215,954,439,895,292,294,903,266,091,562,
807,162,555,929,353,990,147,261,466,152,946,232,128,248,097,991,320,456,188,
642,407,877,669,563,802,539,344,926,971,199,026,383,161,533,280,974,446,695,
524,867,487,794,422,005,411,498,537,995,316,865,458,095,139,039,959,565,241,
181,591,869,017,662,929,298,460,662,912,931,218,664,182,639,067,268,220,067,
193,910,918,623,386,892,785,982,083,496,658,447,333,469,991,394,714,059,049,
733,946,243,698,791,246,768,749,886,670,057,510,196,794,056,591,518,057,372,
258,064,431,974,764,037,741,920,464,270,170,529,971,129,108,797,281,925,983,
808,467,554,447,228,165,692,077,037,320,955,611,275,923,841,282,763,526,103,
954,334,982,749,751,494,730,822,416,942,304,909,132,057,989,023,878,709,899,
216,788,783,093,504,626,009,913,947,375,656,371,646,994,224,872,035,204,313,
471,710,653,916,683,437,273,130,227,793,175,253,776,934,867,212,135,540,144,
180,059,370,418,195,024,293,192,455,153,945,881,984,599,972,246,151,681,984,
067,402,165,692,796,248,509,547,625,309,408,965,480,322,289,475,684,976,317,
834,300,639,566,772,636,247,367,964,899,199,900,853,308,164,060,339,585,377,
803,649,575,281,408,386,500,192,192,322,866,721,572,903,234,824,233,702,358,
157,752,407,373,894,532,714,937,046,921,829,293,559,773,701,997,274,322,653,
716,604,833,045,735,737,713,526,968,291,625,625,952,030,242,066,813,272,919,
055,937,569,400,491,697,149,394,225,549,598,953,698,247,714,053,048,390,426,
853,200,255,939,217,251,840,869,491,282,505,884,394,553,568,376,383,660,891,
697,198,092,112,743,565,291,946,816,414,809,581,249,177,365,373,766,810,087,
512,069,042,147,248,357,400,428,534,236,165,820,656,951,716,124,947,915,872,
148,471,673,640,557,478,659,019,802,655,723,360,076,418,049,781,820,746,141,
650,946,154,695,967,659,708,506,818,384,244,293,266,621,494,393,187,238,493,
222,834,893,282,834,725,043,040,956,042,047,282,934,798,768,164,872,895,449,
008,400,912,907,678,916,749,969,922,293,534,938,833,253,369,935,718,822,121,
198,472,571,387,789,054,563,252,018,192,469,822,277,946,882,698,714,501,171,
536,678,282,741,436,930,557,952,026,884,870,456,752,606,498,969,873,459,695,
188,477,168,955,665,052,871,458,297,061,229,594,886,361,111,658,199,895,376,
002,971,366,196,152,007,393,901,729,626,568,286,738,604,409,232,259,036,843,
396,036,641,942,144,926,409,008,959,060,033,299,969,982,205,346,132,202,427,
329,190,222,321,941,152,637,913,829,067,694,089,450,057,353,183,279,119,378,
127,432,678,037,287,763,676,774,196,461,055,308,549,390,773,045,065,328,847,
180,355,090,841,431,337,578,344,313,069,199,605,665,483,762,452,394,992,150,
528,607,024,270,907,980,573,408,520,343,967,225,106,943,158,532,752,055,354,
114,771,353,805,850,873,430,521,755,828,218,407,981,197,192,010,974,003,876,
156,724,568,098,455,958,567,011,854,981,746,915,639,794,075,562,875,135,971,
347,394,612,103,237,631,223,903,889,296,165,249,907,510,370,187,849,789,618,
629,803,181,475,704,699,278,244,555,225,435,956,814,397,191,852,441,554,298,
493,583,405,835,690,936,853,391,990,941,741,460,262,748,248,836,373,828,279,
369,391,618,720,509,803,352,987,459,874,236,536,160,454,118,531,863,364,824,
840,014,826,880,132,917,594,040,576,643,565,973,473,208,713,716,918,412,645,
652,371,727,217,777,504,622,687,200,099,287,134,423,516,811,739,842,763,882,
231,045,658,628,683,867,848,457,584,438,112,512,014,953,180,296,563,662,529,
040,815,676,461,759,955,695,767,968,034,645,691,004,037,169,016,367,947,438,
595,199,856,862,807,272,015,562,205,229,372,081,117,673,422,103,189,434,909,
778,522,427,869,162,325,860,044,406,870,474,738,204,910,801,825,248,483,288,
071,948,277,558,780,852,551,776,647,262,427,922,943,022,990,621,474,914,570,
591,808,239,779,824,754,947,342,008,266,850,477,847,620,335,732,396,784,415,
696,189,914,694,255,507,174,143,322,724,934,936,288,908,135,860,164,211,389,
206,266,426,422,046,513,535,892,939,323,318,271,186,841,043,767,317,678,676,
524,726,832,845,190,760,396,887,963,144,247,512,389,281,708,501,999,539,756,
455,596,227,656,583,492,269,459,940,585,911,943,055,905,317,611,779,874,667,
341,627,461,230,741,439,742,137,497,563,308,590,121,081,584,246,419,604,950,
255,384,874,796,690,440,114,935,270,813,641,769,368,110,084,578,882,239,751,
693,686,429,772,303,665,621,824,983,956,235,250,116,977,833,168,121,057,522,
039,625,489,767,628,935,737,226,120,576,013,038,594,424,293,537,433,277,562,
148,616,574,582,736,285,113,713,810,722,262,365,056,851,456,592,687,519,147,
013,801,234,457,886,079,355,088,216,551,086,697,453,064,691,238,252,910,819,
020,022,800,328,036,358,905,497,463,063,487,151,173,317,095,424,163,308,550,
585,947,386,098,056,785,186,231,880,650,068,421,774,408,184,819,360,912,457,
706,010,535,762,478,993,283,177,343,811,494,559,772,841,538,248,583,778,213,
541,047,658,524,157,215,017,538,499,321,800,444,253,888,817,791,646,346,682,
869,041,809,416,782,636,862,454,656,448,338,768,863,113,248,511,877,692,088,
952,953,422,305,989,809,758,644,457,801,897,108,432,123,210,169,802,140,264,
490,283,884,391,311,088,416,802,392,258,274,189,696,389,875,931,042,379,445,
843,885,406,527,511,169,637,493,082,721,757,480,016,592,917,325,473,816,700,
628,368,130,212,308,531,115,327,658,375,178,258,333,722,074,303,345,619,752,
807,187,832,453,926,620,403,144,598,995,796,514,348,807,379,415,176,866,641,
441,159,733,257,088,873,186,238,246,524,914,493,653,327,153,077,478,268,206,
045,376,987,522,453,312,162,517,235,912,105,657,405,303,078,693,602,828,469,
586,215,888,157,247,221,034,569,030,490,088,356,781,956,565,753,076,928,025,
842,561,976,947,862,844,667,168,127,341,732,568,144,650,726,491,793,169,211,
251,959,927,330,007,176,084,433,260,138,076,827,092,527,210,713,194,919,078,
984,966,690,401,273,841,217,473,154,185,076,465,516,680,108,853,109,252,360,
328,420,654,704,609,979,416,677,743,173,904,504,207,701,999,982,827,255,649,
308,337,320,345,182,283,188,278,848,355,195,529,726,914,892,760,670,766,315,
409,342,774,999,093,096,420,505,030,976,373,936,286,711,771,239,131,114,045,
485,894,871,910,515,508,961,276,416,026,388,696,558,864,207,008,708,306,249,
442,588,307,235,102,524,392,403,931,783,217,068,886,437,596,392,420,224,069,
567,980,265,220,038,696,934,073,085,481,841,126,048,392,513,148,528,023,116,
151,233,957,464,939,969,821,303,288,307,771,287,161,617,506,902,057,400,694,
144,534,198,197,635,516,245,757,074,943,650,149,522,402,776,647,667,831,751,
800,640,507,767,245,132,497,950,694,090,812,493,491,737,787,464,643,076,329,
518,134,200,847,813,798,961,178,525,593,966,868,681,990,328,806,158,292,197,
059,126,619,323,050,212,757,169,047,188,421,083,622,200,436,092,941,472,078,
145,880,841,956,543,047,395,501,923,453,767,396,772,347,208,657,118,547,217,
670,533,411,349,265,409,546,473,637,978,989,823,009,993,151,780,124,253,352,
205,710,219,313,441,689,098,510,508,673,574,214,325,942,843,065,591,729,050,
025,825,197,563,433,111,064,311,818,360,326,223,435,736,107,425,300,926,099,
302,265,057,088,568,135,191,365,416,773,263,907,714,990,643,349,288,906,423,
232,808,334,588,526,040,770,012,455,516,538,885,766,031,835,587,317,311,914,
360,565,111,137,847,536,535,655,914,488,009,015,747,734,196,021,777,977,623,
282,563,227,316,600,901,823,759,050,076,723,170,300,988,733,441,891,420,277,
973,926,095,589,016,977,907,099,344,719,235,525,389,466,528,724,265,290,509,
123,019,842,544,146,464,500,472,019,460,028,440,457,326,293,886,922,987,954,
046,687,972,539,282,689,175,004,077,418,697,065,284,497,999,428,314,134,194,
196,237,464,245,631,818,377,960,532,299,747,073,813,511,644,043,750,923,164,
967,271,445,999,549,908,227,745,954,892,471,405,437,905,992,990,784,049,338,
728,669,634,787,321,446,408,535,622,416,792,962,671,168,987,485,804,272,763,
221,093,280,319,053,841,512,011,792,547,437,428,016,308,585,625,487,959,215,
637,059,546,134,613,172,510,994,611,041,228,471,765,515,989,016,171,862,695,
411,067,221,759,854,936,841,994,979,470,390,853,839,331,709,927,561,725,750,
398,173,673,828,533,063,647,572,535,413,793,916,190,479,701,886,693,705,673,
655,299,949,183,815,759,738,222,840,770,801,115,164,002,301,002,372,212,682,
914,762,333,804,401,363,039,311,120,376,712,689,399,678,691,286,310,100,704,
642,439,827,129,811,716,792,567,048,262,824,107,130,221,125,744,061,056,594,
895,229,800,102,977,772,907,966,064,182,938,010,214,844,472,975,953,536,343,
850,610,727,837,930,418,381,577,881,877,913,181,817,167,998,519,588,564,772,
280,741,250,751,062,624,857,617,426,670,221,274,312,332,144,632,134,597,959,
638,231,477,089,865,138,612,257,443,869,296,824,850,063,143,054,495,024,257,
286,958,085,962,168,515,925,733,547,957,659,833,967,682,789,213,345,123,345,
962,485,217,101,794,946,886,228,748,065,079,156,166,678,542,236,491,346,739,
028,330,656,152,713,084,083,538,192,929,972,894,409,055,319,783,669,364,585,
016,900,360,609,054,468,463,071,847,823,136,157,911,309,793,743,099,120,077,
897,595,503,959,990,927,366,031,213,267,626,306,110,097,008,993,727,002,118,
929,516,213,516,752,009,886,839,807,344,041,628,164,643,566,554,966,885,888,
005,139,292,314,781,476,175,922,163,477,069,980,983,717,672,806,527,877,646,
141,439,201,828,459,942,854,606,623,064,477,963,332,997,825,636,826,789,090,
444,900,016,076,258,105,216,569,513,597,664,923,431,377,202,437,794,189,843,
438,381,118,766,969,235,572,709,012,278,700,737,952,966,618,125,868,511,333,
047,330,675,904,981,705,209,900,837,959,990,684,467,917,579,594,586,403,644,
462,768,768,292,000,175,645,083,741,817,930,068,464,251,659,504,527,522,273,
525,225,726,894,087,441,003,850,672,214,636,796,383,240,266,402,198,640,193,
131,841,803,269,921,948,565,972,487,331,843,211,590,621,779,457,915,097,387,
154,019,890,594,368,199,669,540,522,856,480,779,467,865,724,440,711,047,992,
065,705,423,693,909,022,642,426,538,940,491,234,184,590,464,637,759,900,551,
619,856,634,126,247,683,675,168,146,805,320,515,126,801,030,405,661,086,689,
483,186,243,161,889,123,425,892,173,465,142,241,131,220,431,704,975,015,917,
031,310,704,456,922,517,393,855,610,894,155,379,176,348,118,504,837,401,415,
900,218,923,375,810,250,534,184,896,680,830,788,072,060,750,280,049,936,914,
428,937,942,825,198,044,828,450,076,864,997,043,097,646,784,609,441,753,900,
469,217,245,109,542,742,981,875,265,743,960,596,214,698,619,223,144,924,278,
941,054,173,733,329,309,729,189,523,704,602,266,132,716,649,774,032,694,582,
066,128,212,365,591,289,602,350,472,757,751,700,859,337,515,636,058,160,002,
003,044,323,834,393,779,702,141,868,842,774,953,614,254,158,845,593,116,794,
173,437,869,444,354,572,435,513,163,845,530,480,361,617,530,874,655,296,672,
107,502,505,370,690,024,808,283,495,662,501,812,963,119,018,686,755,296,573,
420,709,259,134,199,617,123,765,427,522,727,924,267,499,393,141,532,276,292,
807,880,080,817,662,800,690,302,018,782,613,000,782,109,235,305,298,584,800,
729,561,663,618,350,233,177,344,848,244,709,821,681,452,622,702,266,118,860,
585,430,744,361,141,071,821,870,523,780,363,182,573,445,173,601,054,117,269,
292,506,102,762,120,027,042,284,559,526,771,753,762,003,260,814,276,005,447,
085,813,472,222,120,869,221,718,292,831,271,349,133,235,753,135,275,181,732,
681,121,327,185,110,339,591,218,414,453,006,814,110,868,406,061,699,608,501,
504,161,783,532,642,190,723,884,371,251,780,316,076,214,003,680,098,395,277,
672,186,406,019,350,638,834,732,393,955,750,829,483,395,272,945,645,770,720,
783,192,714,025,256,170,388,165,901,229,735,879,596,958,534,713,518,778,968,
515,754,290,289,627,670,737,813,084,259,132,414,083,783,864,962,783,690,136,
629,302,259,581,786,219,415,279,651,625,667,289,362,841,200,022,096,744,893,
396,732,922,277,372,600,010,648,984,226,839,816,515,212,774,502,341,813,162,
811,624,551,064,354,279,187,644,050,179,024,281,299,448,061,550,785,660,359,
237,497,618,658,864,822,007,310,844,920,768,634,867,650,751,641,631,912,202,
728,499,714,543,583,836,084,361,824,077,212,535,664,119,858,146,326,165,487,
248,921,223,089,737,344,356,331,574,498,222,735,306,723,337,342,363,452,193,
674,682,813,975,889,534,551,454,924,706,002,116,501,569,042,432,314,802,806,
835,271,851,164,647,121,695,333,487,394,422,904,667,770,509,888,174,379,409,
277,574,270,061,433,029,581,939,353,835,505,427,642,597,342,789,473,526,667,
437,898,954,940,516,445,116,735,652,036,409,275,204,320,880,106,286,841,362,
158,150,878,092,077,287,440,889,454,573,851,262,096,228,068,218,959,618,757,
919,652,744,251,658,893,728,859,958,377,371,618,692,643,188,247,196,844,901,
099,432,476,580,296,940,249,073,688,263,197,570,940,495,760,276,351,414,864,
816,221,066,733,300,940,363,272,511,819,545,382,440,225,472,356,034,800,930,
307,168,028,277,788,195,915,626,301,410,309,776,265,361,973,031,522,232,774,
615,639,700,199,659,384,397,434,972,236,186,090,028,586,326,869,304,858,878,
394,939,117,414,868,132,379,402,339,883,622,735,193,984,158,418,095,861,921,
036,627,015,636,916,598,216,522,029,220,258,964,065,869,128,495,019,506,676,
648,875,261,103,002,465,495,237,980,874,818,859,306,829,344,548,291,411,119,
673,049,391,759,183,813,587,161,542,961,790,908,869,881,094,087,224,645,813,
928,782,440,476,078,826,954,611,268,980,363,116,202,662,010,336,734,452,112,
866,845,432,557,808,870,534,741,908,769,919,562,578,451,882,440,257,589,080,
356,319,308,487,532,487,190,158,067,936,705,067,436,720,735,538,168,766,070,
302,207,268,589,624,849,726,870,038,411,883,247,240,638,421,643,082,417,252,
441,514,420,479,363,722,479,283,119,187,149,452,671,907,769,903,132,101,475,
871,179,097,354,425,272,928,430,178,170,188,970,842,723,731,912,159,796,238,
074,331,853,658,955,546,216,094,186,142,882,277,804,819,093,688,888,070,269,
314,587,596,080,646,408,928,934,550,079,953,489,771,812,063,426,101,258,764,
819,495,838,121,341,012,349,553,527,201,766,852,183,696,693,659,068,261,467,
686,475,245,072,832,871,262,893,050,027,739,667,459,676,394,332,594,159,142,
120,795,436,513,023,630,463,122,838,371,406,509,437,988,029,911,811,755,158,
696,081,278,060,367,872,725,770,014,287,554,494,267,985,540,100,813,547,405,
459,897,116,619,991,585,022,150,106,992,440,116,643,675,912,245,509,488,874,
614,721,644,118,619,502,900,651,879,385,853,206,654,574,327,050,691,608,034,
930,695,535,665,606,393,148,460,336,044,581,047,965,406,944,361,572,538,686,
029,648,164,068,955,380,689,609,698,761,146,942,564,671,973,961,005,440,339,
724,723,980,014,931,563,698,712,222,960,348,453,754,913,565,791,110,587,973,
321,755,590,421,931,496,758,880,568,439,576,523,821,705,244,943,063,001,092,
384,272,803,911,900,003,071,259,383,804,288,661,044,715,016,786,310,176,497,
409,887,933,023,536,010,941,456,911,146,027,860,188,618,103,488,791,417,444,
569,215,337,833,869,529,452,882,967,967,063,334,510,946,453,883,246,473,640,
827,876,757,414,726,828,258,226,016,404,310,008,726,431,711,823,112,922,416,
925,061,213,802,310,706,303,815,768,314,038,229,382,445,033,835,879,613,738,
475,422,604,064,232,540,566,086,721,379,399,300,787,274,564,517,465,217,432,
593,459,487,159,161,399,716,465,181,642,112,848,177,173,258,929,637,957,414,
417,374,591,948,547,482,748,897,128,286,615,195,628,344,877,382,071,621,441,
006,504,629,885,724,436,314,940,430,160,438,211,036,060,973,831,865,447,625,
554,341,026,769,736,589,683,856,802,028,569,650,757,855,486,442,685,717,660,
895,600,522,480,616,668,663,856,170,488,635,579,171,550,787,234,652,713,141,
540,242,184,515,964,767,836,571,213,329,357,607,827,636,693,949,174,711,561,
953,062,024,340,404,233,705,551,210,399,868,346,704,756,109,640,834,077,049,
623,913,975,201,474,529,410,407,041,038,064,007,064,173,898,336,526,263,851,
891,968,590,798,973,502,708,284,914,008,432,051,533,878,528,898,543,284,169,
327,389,372,805,889,976,202,360,291,855,362,357,260,973,754,837,592,947,261,
549,592,876,756,384,772,372,069,729,583,567,946,179,096,634,392,361,439,217,
243,718,385,259,171,714,790,822,594,893,021,055,574,011,706,643,945,565,475,
487,053,072,453,698,065,025,789,614,139,580,989,990,780,202,755,429,831,975,
243,851,276,887,825,971,872,188,627,794,504,227,633,004,717,748,779,150,812,
530,183,191,790,271,301,303,164,050,704,740,416,956,859,633,605,037,370,484,
439,919,585,265,340,571,164,497,003,908,587,179,654,134,180,596,187,367,214,
424,890,065,960,297,183,164,703,677,778,386,429,249,653,446,050,796,796,677,
368,926,995,182,096,295,220,023,717,438,786,190,811,183,860,390,651,081,810,
178,403,075,386,835,027,733,022,695,939,016,991,020,986,187,907,226,798,092,
502,450,195,702,128,449,052,506,651,816,001,206,137,203,495,302,830,616,784,
466,414,228,134,023,459,399,295,468,600,373,970,167,496,949,416,827,379,207,
596,657,907,395,300,110,645,843,565,271,546,804,236,155,784,070,736,659,422,
097,870,099,974,696,013,709,980,225,606,464,205,056,001,634,486,848,087,953,
595,265,790,805,710,593,492,388,686,712,368,275,038,670,053,247,276,547,007,
740,028,413,960,621,037,838,832,992,868,861,398,921,067,901,741,267,586,563,
698,139,312,271,936,095,823,127,404,743,739,378,828,493,043,789,100,681,716,
716,605,071,592,638,711,721,398,856,214,036,826,272,507,384,311,577,148,852,
780,371,572,307,124,982,421,761,909,613,915,289,592,458,127,660,303,655,514,
259,587,793,860,996,962,537,575,158,707,299,314,391,889,513,576,828,222,930,
347,393,117,485,725,214,490,263,987,845,903,786,207,862,582,333,586,627,015,
141,412,694,684,172,681,618,310,883,607,531,605,250,415,038,437,699,497,254,
052,592,788,862,229,176,831,613,488,465,978,578,626,606,300,319,690,286,287,
352,301,268,939,076,987,905,083,607,860,147,253,313,834,460,702,657,990,202,
379,272,574,020,344,247,983,271,895,077,021,629,065,694,198,913,181,034,679,
451,064,355,258,401,915,556,943,359,505,675,324,785,909,011,530,692,208,122,
907,224,688,938,110,096,989,687,602,517,081,193,834,440,790,081,557,249,228,
473,339,101,532,851,863,206,741,732,841,902,355,952,162,290,067,076,257,065,
399,428,557,798,984,703,203,229,938,677,852,089,105,488,374,118,021,958,630,
044,268,983,712,743,183,792,241,271,163,189,766,662,355,889,601,024,017,759,
703,816,945,127,300,118,344,301,033,714,657,671,758,018,648,904,938,881,443,
277,450,240,683,314,183,532,378,082,720,445,223,781,633,891,324,714,508,394,
723,676,700,038,057,030,471,007,909,442,365,154,398,939,285,525,319,769,763,
890,882,873,640,418,308,969,983,656,664,768,567,597,484,222,581,265,278,512,
060,024,640,012,859,837,314,177,028,014,237,627,310,561,897,686,467,717,919,
702,510,344,412,454,130,047,662,037,551,881,417,568,131,275,405,448,787,944,
983,749,741,728,190,815,209,979,088,860,541,525,099,118,633,635,377,249,995,
841,089,455,499,849,088,827,765,405,960,055,752,582,053,183,233,260,888,915,
938,306,471,046,421,343,101,388,433,016,900,670,629,629,452,762,574,800,313,
050,368,612,066,125,024,319,302,372,394,685,115,483,768,573,241,219,558,263,
310,686,359,627,496,811,961,873,529,910,439,457,677,615,328,684,795,897,987,
418,103,472,714,818,621,056,859,792,337,958,895,439,963,016,136,708,747,434,
551,776,202,691,721,787,930,552,109,922,657,923,589,668,113,970,108,458,833,
209,196,129,092,850,195,487,093,647,469,195,577,413,124,796,106,840,069,082,
285,559,821,343,326,644,455,809,097,968,056,757,554,034,678,972,034,298,961,
261,050,625,088,662,429,281,791,628,718,162,369,119,841,508,427,773,231,292,
876,752,228,627,499,882,190,501,326,434,244,162,357,347,178,613,662,011,071,
288,657,043,954,033,956,531,321,610,485,021,570,845,280,096,119,105,037,338,
509,350,477,377,042,550,804,135,637,970,484,161,141,491,824,957,735,860,648,
629,806,921,547,985,775,782,530,092,036,421,851,044,855,394,153,187,026,432,
254,123,593,363,146,571,203,282,886,891,519,333,963,286,972,365,182,582,256,
656,837,754,897,334,804,739,829,420,136,895,124,319,124,847,796,321,673,203,
355,204,859,225,835,250,921,370,997,994,311,586,876,553,054,528,749,427,854,
739,459,864,948,328,214,023,516,474,231,334,330,805,798,810,100,061,614,105,
463,711,090,544,401,032,153,477,660,247,374,243,149,023,523,902,564,812,771,
120,839,340,519,001,110,438,154,480,399,139,006,113,623,412,069,999,361,281,
192,470,539,073,900,822,619,055,021,613,178,360,875,029,561,078,056,386,935,
488,269,440,752,640,538,310,124,743,974,520,120,541,654,147,255,701,061,102,
423,129,116,259,812,846,129,673,278,439,681,158,944,142,417,174,290,934,750,
825,010,957,562,195,040,510,269,169,083,219,216,911,261,887,214,565,007,381,
675,195,303,211,797,876,085,541,882,891,316,163,708,514,496,750,686,675,175,
844,230,086,099,533,826,541,583,724,884,555,271,136,063,540,000,214,444,612,
756,392,180,711,040,956,385,711,121,875,785,022,614,320,734,170,101,518,650,
908,494,093,926,280,539,160,640,692,876,140,196,378,798,971,304,514,457,891,
719,201,314,706,262,981,113,111,018,371,406,286,756,984,690,119,741,614,605,
575,662,732,940,718,430,650,755,441,583,750,059,474,985,528,512,755,122,519,
940,925,242,190,073,920,055,015,296,310,520,178,176,905,376,821,423,831,494,
632,676,126,102,564,029,166,855,127,248,894,285,277,831,145,464,324,664,498,
894,164,585,658,973,475,851,274,228,116,138,272,366,836,960,867,695,021,129,
381,186,957,167,567,695,755,237,638,744,909,149,193,256,033,094,255,411,136,
188,078,984,321,807,155,763,144,276,910,940,947,042,116,760,069,936,190,032,
322,561,347,938,453,718,072,889,046,315,341,720,819,214,875,094,185,064,291,
297,372,693,001,451,667,920,454,103,034,144,909,272,088,647,264,797,072,060,
969,886,536,545,358,875,639,186,398,619,913,554,716,611,149,222,734,272,612,
642,250,107,030,763,083,300,462,554,960,005,156,978,818,634,895,951,138,800,
485,900,758,359,275,938,159,671,585,741,876,172,233,855,468,622,093,919,203,
213,311,245,481,297,732,525,079,081,379,705,213,520,170,087,054,999,799,810,
528,887,012,491,627,606,021,378,254,249,279,680,186,690,209,019,153,505,839,
558,044,509,714,857,946,300,084,291,851,575,267,021,854,125,804,451,359,495,
469,851,689,488,987,529,051,913,546,856,023,208,685,852,765,828,408,909,161,
954,837,613,149,828,587,700,851,375,046,412,756,873,075,511,141,656,525,164,
082,397,331,113,880,985,438,293,358,016,151,168,516,878,989,689,732,909,159,
765,094,742,290,316,995,785,435,683,442,491,261,129,815,994,940,870,736,267,
277,152,876,986,456,307,454,821,596,723,375,091,332,064,719,357,656,406,898,
478,851,911,960,882,965,144,903,348,336,843,887,622,091,535,877,582,248,316,
086,281,086,436,653,772,835,033,975,753,434,139,200,184,086,212,447,085,360,
845,873,161,025,879,681,251,450,789,295,760,452,243,526,083,514,967,981,813,
568,675,280,637,068,958,135,865,951,492,853,659,726,163,558,108,001,322,670,
232,164,762,171,738,929,685,037,870,483,814,375,296,942,238,312,604,476,809,
628,338,912,095,225,245,443,466,572,928,015,851,172,059,592,485,987,016,116,
109,935,758,429,748,673,988,717,134,546,749,730,996,935,996,772,914,283,711,
411,858,280,723,100,018,162,999,557,874,611,732,191,030,760,518,197,265,875,
600,078,306,448,849,746,445,293,768,286,831,190,486,329,886,679,890,821,642,
738,072,432,854,273,052,341,383,512,491,416,535,462,921,608,923,235,523,027,
571,139,853,637,046,164,088,495,826,331,338,818,213,135,814,590,963,531,920,
705,968,000,165,302,686,985,124,329,339,482,264,369,903,201,793,670,857,251,
486,308,153,501,522,480,583,795,710,330,909,056,291,970,341,380,435,653,268,
355,933,694,948,767,455,021,015,666,050,854,029,940,464,915,197,708,036,895,
137,401,923,915,762,991,920,205,148,300,694,796,863,553,122,801,199,232,497,
408,811,981,125,670,765,122,532,965,659,976,702,745,269,133,269,169,680,596,
575,874,902,659,522,361,056,961,512,543,924,658,223,721,805,116,647,724,851,
409,717,664,604,693,352,484,056,383,624,344,849,957,520,389,292,303,588,943,
362,824,129,020,842,666,612,015,538,609,642,386,095,813,276,362,155,932,603,
467,714,120,309,164,237,412,739,281,928,414,654,094,777,421,662,972,466,311,
757,269,106,309,572,867,642,898,891,735,867,551,651,989,297,877,721,129,943,
705,953,825,753,254,910,126,966,985,834,545,373,103,011,154,318,785,933,493,
389,423,200,569,571,883,964,708,437,854,217,010,533,169,958,741,991,071,841,
992,805,093,294,516,017,451,199,383,440,743,416,072,470,329,930,407,721,502,
096,353,008,017,937,473,029,238,542,634,454,932,877,691,478,706,649,338,089,
403,871,975,371,154,468,547,336,246,045,108,333,423,969,401,421,144,422,461,
355,333,697,697,875,612,887,192,711,794,742,161,372,124,436,881,895,903,281,
053,767,237,615,653,793,095,820,037,042,869,502,780,217,425,239,846,712,413,
505,434,168,225,584,549,405,840,798,933,685,344,876,543,706,688,614,139,787,
275,521,288,558,280,957,034,590,766,449,362,421,384,099,985,011,565,737,117,
741,016,465,805,097,847,714,078,627,702,769,947,010,572,488,268,081,819,365,
104,234,353,765,985,081,006,671,851,640,830,894,303,620,215,081,974,409,012,
803,300,661,879,760,184,599,237,837,412,306,516,257,096,173,017,034,332,465,
609,151,152,576,730,351,161,842,465,012,470,683,691,291,064,056,209,756,139,
198,554,366,014,561,574,336,773,271,015,306,942,438,672,778,793,549,860,659,
401,432,752,832,751,112,461,504,818,605,715,713,101,081,740,444,737,536,100,
381,771,759,814,049,852,816,567,703,891,464,858,929,348,696,957,677,300,798,
124,383,074,331,170,116,722,009,206,723,584,466,261,126,708,668,701,861,462,
297,767,067,027,805,588,454,278,079,121,353,753,535,025,859,476,924,776,417,
779,473,571,295,868,773,178,311,017,853,450,524,068,088,383,805,604,203,679,
621,339,133,235,939,006,534,973,285,653,044,548,773,855,177,323,317,587,350,
213,070,516,643,146,039,098,075,657,008,341,991,259,422,696,460,104,215,121,
842,137,875,843,728,253,559,135,416,296,434,745,334,512,130,146,904,153,925,
225,058,119,733,859,135,496,707,382,930,616,907,316,613,096,871,518,403,127,
166,828,708,169,467,647,843,486,618,653,773,896,467,150,005,524,888,316,720,
498,621,070,074,280,585,775,900,527,625,229,213,496,297,344,221,525,369,659,
468,566,598,558,152,072,599,794,205,183,184,110,637,947,018,323,993,516,232,
702,349,296,422,918,090,566,705,842,965,001,413,441,071,587,669,905,933,282,
403,729,778,942,187,881,585,085,891,444,592,723,803,487,643,537,355,227,339,
237,569,463,976,454,696,995,509,703,634,091,858,616,453,680,859,472,362,411,
429,536,662,884,462,226,609,631,099,760,760,082,067,068,898,566,634,524,006,
137,212,722,454,710,714,747,617,770,115,666,482,327,400,432,648,935,983,164,
781,543,443,202,821,249,723,892,866,089,115,519,564,177,632,008,510,554,283,
210,104,991,757,194,698,308,596,681,382,993,149,063,064,134,583,665,930,300,
559,311,972,210,414,933,170,584,591,092,623,164,254,665,498,976,479,715,527,
402,085,487,314,620,344,441,847,310,037,943,750,147,900,352,509,964,159,899,
854,848,621,872,954,369,470,539,659,564,426,402,546,388,106,834,701,144,180,
585,179,805,887,217,676,176,232,683,032,261,460,168,753,968,332,843,541,948,
944,865,063,847,547,135,325,340,063,069,437,831,305,499,769,030,012,834,328,
955,894,856,631,582,710,685,418,385,436,968,324,464,435,068,109,657,258,260,
544,865,058,875,661,780,666,288,295,192,215,005,957,784,272,011,509,605,982,
585,420,022,056,869,145,278,191,122,263,596,061,093,736,900,566,415,188,352,
818,423,050,413,098,083,430,029,319,136,210,933,011,432,420,653,842,084,904,
050,681,300,982,536,512,621,705,301,261,111,821,753,002,151,580,519,051,307,
038,606,620,357,626,122,483,052,432,689,009,550,173,022,923,777,285,555,555,
238,239,230,220,650,937,652,834,617,909,712,153,200,101,362,165,625,664,158,
265,449,151,631,184,448,487,361,974,240,774,080,329,629,718,762,021,602,176,
982,360,276,059,434,341,936,474,877,323,720,958,202,964,094,186,320,064,439,
223,063,129,746,493,768,919,895,459,835,910,682,653,629,293,681,494,793,090,
173,681,125,345,531,361,679,645,668,177,757,426,807,006,916,785,219,898,791,
323,238,855,992,131,527,227,813,903,697,506,047,669,133,975,781,133,017,309,
616,991,243,677,233,937,461,889,094,887,940,089,053,204,296,165,647,011,803,
838,292,755,683,997,029,400,761,719,282,794,637,007,644,463,250,150,830,146,
234,418,746,559,281,943,904,597,172,985,501,442,201,978,233,127,656,309,293,
114,066,353,575,799,156,123,165,463,074,967,869,368,987,295,620,530,349,024,
805,763,108,717,654,155,737,679,937,970,685,475,159,058,013,497,631,329,676,
841,766,139,456,103,718,506,786,015,661,787,877,233,839,452,490,242,735,506,
396,876,934,528,768,667,364,694,340,855,774,206,661,994,216,771,742,096,158,
424,668,797,077,221,252,544,771,419,159,133,399,844,034,811,223,965,552,033,
786,984,488,598,136,762,715,190,448,769,086,018,160,428,242,311,824,981,809,
675,881,695,114,252,945,226,407,022,818,328,212,048,628,064,071,089,212,903,
711,730,609,227,821,516,675,544,582,163,180,627,087,050,077,077,312,878,399,
024,175,795,580,043,848,692,873,817,275,807,826,390,943,807,132,845,328,438,
310,280,859,390,450,775,809,511,725,218,407,062,047,873,060,570,564,348,904,
207,681,655,800,744,205,502,484,014,747,925,130,629,834,247,642,913,442,208,
155,233,177,708,971,978,422,131,573,464,053,004,722,698,748,870,037,694,983,
674,121,195,898,762,683,002,717,719,397,958,538,478,216,875,199,124,510,880,
395,678,273,361,241,758,870,630,971,533,144,303,325,291,280,546,523,752,175,
140,753,967,629,199,146,043,732,716,628,011,103,915,125,541,040,840,654,178,
095,940,812,002,543,120,998,926,890,208,347,217,698,519,323,934,701,477,252,
356,077,291,098,401,070,598,956,939,105,383,245,027,181,576,518,339,154,627,
772,224,389,656,156,516,439,621,658,296,712,823,708,678,001,761,825,492,971,
851,424,297,848,893,845,568,958,554,375,900,446,233,165,533,661,651,510,727,
762,153,280,402,318,927,440,808,648,824,345,820,262,885,153,717,377,605,981,
249,795,996,123,584,723,004,290,423,037,026,118,317,526,079,231,979,600,870,
857,901,804,971,635,021,258,376,037,953,010,824,343,500,471,817,293,398,537,
085,007,095,947,723,490,670,786,657,726,554,658,581,813,877,796,428,740,189,
594,859,262,355,605,567,416,081,599,324,058,187,736,562,579,085,793,475,207,
749,040,171,943,826,421,194,974,619,870,892,399,975,188,860,453,152,399,371,
284,800,174,038,871,422,796,391,870,663,029,043,776,542,016,017,067,399,508,
754,238,207,621,930,730,890,229,599,929,294,848,044,068,019,002,595,957,457,
141,613,223,250,258,360,368,634,851,918,403,977,279,131,342,861,610,537,933,
845,002,228,331,208,506,318,410,376,258,438,342,435,468,880,194,334,927,895,
299,326,155,421,009,532,177,752,271,243,485,544,496,863,881,967,221,072,472,
485,146,589,487,398,402,070,899,825,464,755,897,372,389,076,213,587,755,652,
332,846,491,908,209,362,219,947,801,896,609,451,297,168,542,393,474,615,559,
159,073,243,185,804,263,471,030,037,114,990,980,719,850,035,354,780,462,966,
339,396,564,060,209,964,045,076,057,479,440,594,371,454,982,855,913,359,857,
497,195,345,530,802,659,056,690,132,871,672,197,251,482,005,846,200,912,854,
096,291,777,016,720,865,998,350,521,395,942,834,790,147,084,717,679,280,612,
509,894,653,420,569,471,767,966,670,287,286,668,379,424,343,086,520,498,440,
434,961,311,716,085,888,741,381,373,379,255,816,235,590,014,663,715,905,597,
534,935,783,113,794,832,935,663,812,754,709,773,655,463,576,917,736,617,930,
705,181,214,331,099,637,320,784,000,047,034,886,214,596,408,095,514,113,312,
211,330,447,137,500,126,576,384,482,729,868,158,333,439,930,316,393,480,500,
614,191,789,991,332,187,333,322,108,925,480,677,874,218,801,778,803,414,571,
862,617,931,552,212,783,721,700,496,551,645,299,730,228,492,086,461,235,892,
357,049,553,844,899,363,892,407,323,707,897,804,960,295,869,312,166,761,796,
431,919,241,729,504,162,966,036,446,596,408,584,723,852,691,912,776,264,566,
945,327,856,300,372,049,942,921,645,237,130,505,389,660,675,623,195,261,158,
245,877,867,474,096,863,006,375,910,915,114,437,217,281,179,609,741,551,470,
241,499,038,907,122,195,081,256,964,983,558,365,761,254,304,534,384,115,925,
106,405,051,931,059,646,236,420,099,269,925,284,119,046,544,495,779,419,179,
057,728,801,240,558,877,306,042,275,300,820,153,222,406,107,521,029,479,557,
904,797,485,157,647,083,807,104,096,308,319,911,519,547,116,191,776,059,543,
467,970,815,111,363,158,169,307,844,759,943,808,217,215,026,999,221,891,407,
648,907,528,676,253,121,959,299,844,738,467,642,195,113,518,356,741,312,999,
948,340,940,088,603,855,010,269,889,074,002,464,282,332,970,575,285,065,948,
825,294,885,578,616,653,361,431,287,609,977,807,603,109,795,037,115,899,973,
137,662,865,477,895,029,283,384,580,315,112,963,470,161,925,438,821,504,899,
692,722,562,560,986,693,379,313,753,041,946,562,466,862,693,999,160,577,113,
029,658,477,383,793,589,201,529,519,758,899,250,739,922,497,188,716,213,023,
174,275,427,799,214,748,246,746,748,383,646,209,647,140,425,832,999,961,115,
130,980,254,028,981,164,528,008,461,020,890,207,544,337,659,230,042,836,421,
441,571,659,958,391,580,734,304,622,782,840,622,956,848,192,708,828,013,276,
410,730,058,018,697,741,606,722,457,506,307,401,448,409,568,432,014,115,573,
423,587,949,036,696,518,617,422,880,986,124,657,630,917,882,580,922,856,985,
681,589,974,184,525,743,272,492,842,766,876,670,029,852,981,803,097,392,706,
603,856,771,418,454,572,379,791,822,327,105,985,492,153,263,550,767,923,431,
205,475,611,030,738,771,035,270,661,824,712,197,603,370,972,804,275,762,315,
787,895,585,601,504,182,452,446,509,064,156,807,681,727,903,259,113,320,746,
625,571,496,976,913,433,927,296,364,079,850,547,895,483,712,865,544,052,421,
747,629,491,026,578,894,640,614,073,891,503,038,790,373,985,124,063,881,293,
363,368,617,868,926,193,599,997,913,397,723,753,901,676,354,210,862,914,119,
274,766,308,553,698,350,350,087,982,883,576,240,463,155,953,292,103,735,508,
345,337,184,452,423,703,439,345,954,682,988,931,810,027,637,937,164,365,958,
985,747,323,256,559,857,673,719,856,285,226,079,363,996,943,652,741,240,534,
360,921,849,951,597,978,850,014,235,961,695,352,812,037,923,723,604,778,788,
005,830,183,702,376,638,469,798,033,223,756,237,753,441,923,985,934,834,068,
708,570,937,789,709,169,919,930,725,303,317,989,024,087,815,287,308,702,711,
054,039,741,950,057,153,385,562,281,560,972,829,845,274,178,067,583,402,548,
116,589,910,233,115,279,029,110,773,099,371,239,057,936,473,287,465,620,314,
422,269,971,719,285,377,151,008,737,965,812,779,728,238,271,020,915,222,236,
878,388,063,127,465,730,882,409,161,711,807,603,242,177,536,361,725,156,909,
026,847,286,543,151,241,900,728,692,971,405,863,517,044,883,125,455,150,660,
225,154,972,500,405,980,009,490,948,492,587,109,056,000,118,926,264,073,224,
500,726,519,510,804,778,311,529,858,178,626,530,254,487,981,946,738,255,944,
771,715,869,555,171,666,981,644,941,803,303,377,236,696,438,176,512,712,462,
208,263,234,287,007,268,234,791,764,937,697,923,709,007,256,366,974,490,893,
174,152,614,015,749,869,994,599,652,642,914,299,985,967,066,593,801,137,730,
919,442,982,244,472,322,034,605,876,007,140,605,727,173,519,677,332,013,896,
912,061,220,695,808,724,173,396,082,782,523,639,865,601,272,660,222,866,085,
034,159,729,431,203,273,667,656,609,736,757,928,115,114,558,237,581,290,941,
140,528,546,602,051,513,397,425,824,875,278,001,335,862,478,201,237,594,863,
050,822,169,154,135,604,764,893,475,374,752,429,069,873,199,495,347,815,241,
977,308,982,723,838,393,827,505,074,947,648,749,799,064,668,650,846,036,881,
470,491,930,860,591,102,705,534,237,678,267,919,886,838,513,849,871,665,681,
506,253,856,678,568,825,426,013,310,284,915,978,239,209,541,910,648,294,188,
756,399,845,017,146,464,155,403,781,611,846,933,420,579,661,339,686,591,363,
987,066,302,200,759,912,504,250,046,498,919,137,376,994,665,407,768,699,825,
920,162,770,964,033,113,384,975,265,528,606,289,566,793,682,864,909,196,986,
812,389,242,245,692,689,333,998,622,664,239,470,767,782,873,980,443,639,331,
156,150,931,774,004,136,274,150,553,966,645,858,865,327,382,076,990,270,467,
034,220,311,215,804,551,122,285,515,124,814,340,889,879,786,779,965,694,953,
229,545,633,059,183,243,285,970,888,626,900,352,026,303,116,065,964,155,853,
262,722,062,282,804,288,967,149,601,973,122,636,068,797,538,761,318,325,034,
810,688,716,020,194,930,316,000,446,351,815,840,862,359,381,900,983,328,497,
875,525,250,278,537,272,041,363,380,451,322,884,702,088,119,718,116,437,377,
426,295,396,396,416,611,134,854,271,637,255,509,759,758,471,324,998,192,955,
086,324,127,122,286,221,196,074,205,210,126,899,899,625,923,033,361,732,306,
349,702,407,118,647,370,327,102,803,138,984,817,213,353,274,745,104,663,006,
190,401,285,144,575,159,511,046,421,452,366,045,469,302,526,860,081,258,277,
467,151,241,907,484,325,217,029,300,394,216,309,892,399,281,159,081,830,636,
491,486,970,201,452,705,306,015,520,068,567,876,566,206,343,204,484,117,971,
574,193,879,871,090,133,837,320,699,930,130,936,605,329,427,881,578,681,913,
189,511,377,915,362,782,593,307,267,742,684,949,697,216,871,077,797,057,588,
227,141,827,124,433,622,296,162,106,126,990,843,606,234,006,796,086,808,564,
092,249,875,411,077,569,881,050,958,915,336,892,501,780,141,456,012,174,986,
114,083,351,237,758,512,767,812,446,854,193,308,766,954,959,488,036,251,305,
933,510,546,808,663,372,560,316,298,166,571,670,439,899,047,563,582,852,308,
646,358,710,220,335,427,587,547,786,567,962,579,004,440,414,086,771,538,992,
600,053,869,668,246,151,020,443,199,075,802,258,244,682,589,775,037,921,044,
750,069,349,962,334,713,426,911,279,364,530,153,726,430,707,281,893,494,918,
085,037,643,389,825,614,754,093,425,845,156,117,187,811,961,588,762,413,276,
205,812,557,539,439,991,806,420,242,780,710,773,182,081,254,162,818,365,473,
947,186,645,672,684,709,361,509,950,835,435,542,067,815,646,862,182,024,858,
230,325,192,622,643,739,083,791,582,941,368,246,733,263,704,602,609,600,289,
925,057,089,890,495,600,308,149,624,273,945,952,470,252,516,865,185,373,489,
418,399,064,896,487,954,423,203,910,616,381,647,177,930,944,696,003,537,941,
342,796,824,815,235,298,662,461,779,685,226,987,087,579,966,098,676,364,177,
342,378,361,086,329,054,676,454,954,320,941,860,748,061,486,640,108,133,220,
860,580,188,393,987,802,476,564,990,462,515,484,177,881,582,152,873,326,370,
631,485,904,082,297,611,963,388,883,859,008,862,174,008,060,022,773,835,299,
057,575,594,813,889,961,216,261,504,189,165,226,252,063,707,025,347,561,105,
576,602,639,913,200,559,487,744,923,332,969,623,964,508,482,657,665,943,849,
247,627,991,815,276,825,794,348,647,109,951,814,992,033,245,975,692,165,984,
732,022,170,898,020,958,277,607,976,225,498,164,630,266,953,631,291,707,549,
168,125,378,146,358,253,491,086,290,715,780,653,122,478,155,622,348,303,341,
506,217,891,566,307,518,832,286,055,997,072,739,133,771,044,720,857,988,885,
673,361,506,621,625,350,217,532,341,402,353,106,582,046,693,567,898,328,535,
191,196,846,048,220,926,261,820,287,344,273,762,148,032,318,407,630,162,037,
171,370,523,433,248,953,674,515,748,178,233,457,639,378,982,680,392,158,609,
829,003,896,232,425,950,518,860,003,941,377,210,596,795,342,163,767,464,916,
757,252,196,093,373,840,924,108,684,181,770,244,447,493,652,828,611,253,467,
152,037,478,819,591,478,278,760,034,170,565,122,964,417,463,947,014,684,332,
487,227,263,830,239,071,575,965,599,116,032,862,237,101,851,224,886,149,646,
282,475,139,122,916,604,322,021,653,922,399,232,881,323,633,907,635,362,765,
152,144,517,341,020,552,504,034,656,771,220,269,998,174,705,141,127,036,381,
801,455,250,560,731,148,034,883,653,532,624,560,689,805,950,031,402,245,067,
673,450,111,782,128,404,186,887,188,506,826,445,166,189,796,424,895,870,525,
926,747,335,082,064,483,298,721,585,873,755,260,944,182,284,948,164,446,167,
104,844,405,981,907,913,257,760,787,955,530,772,715,657,881,489,840,746,708,
971,342,255,588,406,359,374,711,240,616,825,338,056,805,310,828,974,771,669,
378,980,899,837,164,799,885,065,631,735,569,753,166,397,952,236,547,821,810,
911,003,538,616,703,658,007,401,793,911,043,968,015,934,812,880,268,023,706,
554,216,629,345,607,894,644,890,958,412,219,699,984,164,060,078,296,542,271,
175,974,440,368,814,075,350,266,261,537,470,034,540,208,169,299,115,988,450,
919,098,314,711,985,317,253,261,425,422,119,194,087,703,869,153,781,004,666,
916,247,815,913,899,210,291,736,310,021,949,043,538,164,883,688,549,194,500,
446,536,744,100,188,845,344,931,975,132,001,911,453,841,325,095,015,900,466,
376,604,679,199,802,943,768,873,351,820,733,612,221,294,523,168,196,465,486,
998,476,649,156,450,771,051,127,423,596,492,477,815,117,302,700,172,651,402,
555,086,326,110,303,965,213,669,898,039,793,066,389,315,364,449,526,869,713,
203,140,117,610,369,477,796,616,843,835,079,981,039,130,878,497,181,509,145,
541,899,311,393,740,778,856,810,658,489,274,115,288,267,481,768,877,007,083,
067,018,760,534,379,354,786,571,120,622,917,349,420,860,138,045,051,811,397,
658,618,783,531,125,488,630,114,303,812,957,478,803,779,599,707,301,370,294,
018,900,718,317,608,480,544,635,886,877,894,777,721,855,185,850,960,548,074,
870,803,888,053,883,250,792,206,769,069,164,431,750,505,378,388,130,046,169,
607,396,674,860,216,530,245,980,176,914,458,700,145,941,775,972,048,725,562,
851,733,347,660,119,117,165,592,844,967,957,315,573,306,072,603,340,073,165,
121,999,297,713,680,422,063,030,249,114,667,378,708,906,045,627,969,008,228,
720,314,246,401,776,199,846,261,802,187,035,232,645,309,573,212,013,141,979,
507,166,601,763,654,761,000,820,920,122,913,466,620,542,103,356,573,062,232,
103,243,218,850,796,833,059,020,234,776,728,553,973,010,301,066,717,153,302,
800,842,124,149,479,520,011,099,700,771,001,015,062,328,275,002,552,966,049,
935,011,935,042,226,673,975,008,691,204,413,332,593,515,825,571,621,335,644,
514,152,392,151,213,184,147,025,328,800,761,405,192,644,901,018,949,915,631,
299,256,916,932,485,536,755,417,979,695,559,219,635,598,185,066,749,176,877,
184,665,684,600,155,405,170,886,968,346,490,775,676,992,976,228,254,705,397,
893,679,530,781,264,762,919,205,467,534,251,063,353,059,834,824,734,898,842,
114,492,449,801,935,392,836,470,784,956,922,156,186,014,978,299,763,572,590,
467,088,639,347,135,304,690,198,254,266,681,028,717,788,190,475,772,500,039,
484,785,048,115,806,088,961,866,916,216,947,684,864,093,269,442,956,201,234,
381,959,603,626,054,273,275,810,452,101,349,346,503,985,815,860,761,114,199,
920,270,293,187,582,645,966,076,524,657,134,174,275,817,760,767,942,620,355,
390,988,741,409,498,144,035,253,456,055,546,817,611,176,078,076,917,458,952,
941,676,761,392,178,184,256,405,216,458,755,840,797,623,815,787,953,958,999,
938,614,369,305,908,102,461,033,066,677,866,922,059,896,512,710,510,899,763,
072,223,286,460,450,619,045,725,208,713,531,473,717,910,029,936,677,632,463,
009,737,987,328,337,670,344,438,460,830,412,334,644,718,774,985,093,623,367,
777,448,925,989,715,736,505,294,561,882,903,234,546,139,053,692,082,500,953,
373,163,310,015,699,824,148,314,844,476,827,805,913,647,019,231,588,802,263,
867,984,948,828,596,066,802,585,739,597,970,908,827,131,761,758,798,143,057,
399,579,982,817,495,330,323,287,921,249,530,594,951,351,433,012,705,072,616,
161,839,766,572,266,712,729,280,146,600,131,397,548,377,345,857,569,322,404,
462,038,068,306,240,766,464,903,396,043,496,716,302,466,052,923,704,994,352,
447,446,323,102,131,611,009,865,098,423,993,431,049,245,539,957,576,630,689,
854,113,748,575,922,195,327,948,355,179,467,810,542,978,789,411,543,725,893,
641,259,206,199,471,079,520,963,651,896,809,285,319,178,919,360,987,591,018,
706,181,775,841,801,055,628,557,241,740,549,384,148,241,120,404,702,210,174,
848,687,075,606,147,324,857,385,463,401,894,183,041,925,474,473,087,951,077,
107,829,611,961,291,796,729,372,273,339,808,125,418,891,900,449,443,883,835,
334,505,888,754,018,830,926,389,561,149,412,000,804,923,780,009,608,140,898,
234,219,829,620,513,073,520,823,853,327,065,199,057,001,611,723,482,835,816,
055,030,171,373,896,729,529,566,557,851,049,630,838,971,716,486,839,714,091,
546,887,601,721,485,960,882,456,320,801,695,973,104,863,965,047,124,012,794,
662,887,467,051,504,744,341,119,091,268,572,788,898,170,834,216,095,346,315,
947,967,109,288,185,543,256,580,637,113,178,824,292,631,547,582,279,840,080,
771,241,474,433,100,069,772,933,178,126,681,706,699,471,240,683,365,978,233,
738,421,201,896,079,810,522,089,122,407,627,638,395,769,218,982,312,671,565,
920,441,707,944,307,728,294,997,466,437,753,561,996,426,183,296,094,780,488,
186,974,039,047,531,286,244,550,060,780,528,548,386,826,140,111,093,589,195,
872,521,594,862,917,987,089,164,396,868,851,344,143,306,354,885,107,468,919,
800,860,275,018,596,637,504,941,729,230,598,770,880,192,118,775,798,353,825,
675,682,804,449,094,014,313,792,996,860,324,200,453,477,986,560,707,840,199,
896,505,693,696,049,092,103,772,656,333,086,057,815,202,871,060,402,307,463,
481,186,801,604,569,462,906,618,170,104,778,072,387,281,419,562,746,103,616,
664,233,870,707,852,318,387,643,289,361,049,078,409,250,185,914,429,269,574,
139,368,236,007,177,723,921,072,049,251,083,396,331,794,677,557,690,218,225,
256,020,086,602,746,368,885,931,507,122,372,646,714,891,001,826,540,929,261,
168,306,765,825,555,371,848,868,737,135,608,163,896,465,589,849,664,015,547,
299,019,347,145,442,445,880,333,469,705,501,180,444,324,924,479,308,762,996,
590,783,439,157,219,741,073,985,144,131,630,124,200,173,653,061,090,385,156,
994,245,479,552,280,346,292,888,307,111,591,576,300,308,950,998,805,549,112,
149,550,777,928,553,155,571,173,618,530,403,463,758,045,615,553,118,551,067,
443,388,995,284,023,032,843,422,411,905,129,770,119,850,715,595,840,662,711,
873,423,072,468,927,425,028,846,461,242,096,394,747,531,751,245,964,772,085,
673,535,045,916,204,202,046,713,067,915,695,252,817,695,242,646,011,834,025,
175,048,533,375,794,132,400,559,008,508,349,192,278,036,512,423,184,300,029,
630,839,400,617,156,247,483,416,881,737,089,994,625,252,111,478,673,953,600,
157,317,534,646,631,954,556,824,093,289,931,170,123,470,324,655,737,457,795,
541,545,656,020,704,218,542,837,243,964,997,274,945,257,933,026,382,986,541,
561,103,896,058,588,797,391,248,020,667,233,323,005,859,936,246,040,216,762,
955,975,602,097,622,211,002,773,943,672,121,887,047,207,980,699,848,175,680,
872,996,038,173,124,242,853,171,996,880,319,177,055,871,001,602,900,473,869,
631,100,976,244,052,621,212,023,820,227,338,245,935,474,826,877,719,164,650,
148,181,668,724,090,971,475,220,926,106,226,467,737,685,002,029,257,581,125,
176,216,583,178,869,695,326,734,693,188,776,439,850,199,819,503,395,873,954,
121,667,372,386,365,101,516,213,292,933,317,459,543,174,701,047,680,016,269,
466,299,989,052,529,654,313,583,261,435,366,194,645,305,505,554,223,723,701,
995,814,673,454,168,944,861,563,016,590,219,232,419,498,293,358,687,871,830,
302,618,326,246,175,361,287,590,479,107,933,311,990,971,681,113,779,002,974,
415,696,629,249,994,297,074,946,790,618,392,748,697,998,561,438,664,850,763,
938,956,811,670,591,318,707,736,126,763,139,973,191,065,681,318,496,562,392,
965,757,270,208,449,657,513,132,518,686,915,720,637,662,543,610,953,083,436,
634,225,106,506,410,642,811,647,415,776,496,041,308,806,591,669,649,689,881,
643,850,548,535,993,384,683,181,841,912,370,510,716,722,800,897,828,937,884,
839,680,998,951,253,718,106,293,499,571,105,553,063,938,899,333,525,933,091,
356,528,778,935,542,305,042,434,975,621,746,376,506,346,138,170,525,769,588,
891,750,951,249,344,606,939,796,906,661,610,409,432,444,785,874,930,108,330,
430,284,347,614,818,654,578,118,252,486,321,503,907,884,845,289,108,270,918,
315,385,692,138,597,245,353,333,482,525,840,455,522,178,233,540,135,079,237,
393,793,177,154,738,480,750,456,711,467,889,439,071,751,438,535,507,090,509,
521,586,306,128,895,675,636,850,857,357,609,356,271,611,618,160,125,718,089,
780,136,650,665,381,736,127,940,343,937,968,021,687,857,956,063,315,056,176,
361,908,627,789,651,762,254,849,368,649,001,118,050,006,876,624,774,096,574,
045,314,481,925,762,656,203,624,452,158,911,171,162,989,781,138,653,106,342,
689,076,738,915,551,415,138,378,979,288,328,905,979,841,331,411,799,461,064,
684,785,958,235,809,980,327,956,555,596,766,326,717,282,925,137,051,141,359,
134,031,159,597,748,559,699,827,120,194,830,756,233,945,984,953,614,560,538,
352,042,423,383,339,343,247,723,167,913,682,600,094,457,456,550,765,074,961,
759,698,032,668,194,787,328,971,154,499,907,541,424,415,519,907,372,438,872,
593,129,197,187,264,553,467,055,254,287,614,288,668,075,934,679,847,429,083,
355,830,150,977,589,237,890,432,579,181,203,858,160,865,501,505,813,740,963,
931,096,466,265,651,831,061,337,718,972,673,921,832,154,720,633,652,135,570,
135,846,479,611,815,466,881,299,060,380,836,528,063,871,800,219,034,679,625,
904,263,860,799,675,273,358,990,154,244,739,062,932,428,843,159,761,694,913,
456,238,844,342,279,267,008,569,259,653,573,491,467,439,451,658,636,602,702,
848,865,108,258,947,440,693,062,642,895,141,128,587,946,979,798,717,872,891,
442,706,094,792,101,241,302,070,322,303,398,656,553,415,310,489,792,078,141,
480,519,234,127,147,003,808,691,818,102,885,811,208,249,265,349,836,297,680,
421,316,511,246,982,927,352,098,359,666,196,477,867,877,380,892,956,351,937,
411,963,820,511,483,038,622,012,805,873,654,885,213,175,885,829,967,358,943,
203,902,086,217,243,334,916,362,135,373,533,037,721,450,554,618,657,945,385,
045,243,932,875,757,920,510,765,549,466,277,400,647,457,328,408,023,710,778,
928,507,839,355,644,729,652,172,772,443,248,095,798,435,763,827,350,743,814,
852,011,767,756,866,430,638,685,862,698,447,525,572,910,005,989,812,447,358,
126,230,976,630,861,474,573,150,743,916,450,383,366,963,798,707,809,496,631,
172,248,508,744,432,703,554,341,390,397,170,220,469,451,811,496,524,188,811,
182,898,214,190,515,077,485,574,761,442,784,824,908,368,550,697,620,586,060,
442,760,750,079,686,061,255,563,520,543,589,328,069,856,929,488,153,535,721,
616,168,859,421,134,285,237,748,684,539,955,640,407,700,451,996,803,118,084,
815,304,905,823,183,562,011,566,027,253,243,134,283,020,023,226,857,976,161,
836,439,637,363,904,521,846,909,479,526,909,452,143,229,056,801,842,814,995,
333,129,911,834,033,336,809,027,520,516,992,912,490,874,561,417,020,640,745,
297,421,616,257,244,537,592,112,063,358,360,813,904,448,677,917,653,740,527,
158,592,147,909,145,717,675,651,961,023,174,693,722,233,623,558,134,972,101,
996,496,216,587,369,222,170,646,926,661,241,538,154,720,152,223,365,224,367,
409,192,170,783,555,497,800,631,456,367,522,555,604,410,154,073,263,523,350,
251,879,938,318,205,796,550,511,039,743,084,028,615,330,136,269,629,692,567,
238,359,935,641,046,478,436,257,987,553,603,526,768,562,824,864,464,655,045,
508,164,885,606,537,852,286,836,929,131,618,534,711,422,657,371,645,762,968,
176,823,069,382,303,237,511,252,148,042,732,665,665,045,038,400,576,551,341,
005,142,937,954,522,083,835,206,242,843,454,502,127,447,779,122,377,415,598,
632,833,780,220,177,791,281,432,476,129,775,773,219,621,493,050,290,081,393,
029,953,497,149,608,012,562,602,296,195,353,040,118,399,494,105,420,199,646,
628,499,435,405,381,239,067,001,856,261,383,168,416,372,373,598,927,432,058,
259,181,892,730,742,085,100,872,836,596,355,362,582,066,369,539,926,831,647,
941,268,230,481,632,246,270,130,329,337,105,173,806,030,740,221,736,260,834,
687,313,448,613,899,050,416,699,028,810,048,244,373,544,487,297,971,717,420,
027,993,045,482,524,809,610,929,384,822,093,799,066,441,897,728,094,640,342,
135,538,786,086,980,669,835,552,529,414,910,530,414,950,089,967,895,350,243,
096,622,888,947,945,819,448,005,202,998,862,277,359,957,044,240,369,809,102,
025,946,267,237,909,382,197,853,695,136,438,263,157,853,639,622,319,615,597,
482,922,709,795,288,761,147,762,756,613,120,262,937,024,191,521,132,813,841,
236,350,695,847,121,100,209,418,308,750,143,030,173,338,543,001,611,399,700,
561,248,571,799,991,390,586,324,756,175,967,156,665,657,489,616,324,877,085,
410,301,718,076,390,796,602,880,143,658,507,362,028,037,832,721,940,784,952,
796,946,728,932,618,050,754,701,192,973,459,743,955,512,011,413,820,945,023,
826,220,247,290,517,630,614,492,272,440,047,955,022,651,567,819,583,596,646,
924,629,724,546,927,409,313,723,099,545,740,212,188,948,233,639,379,036,231,
543,663,152,897,930,803,760,673,889,909,272,067,424,538,991,168,908,980,443,
834,617,919,180,137,109,696,949,244,266,964,527,035,503,202,693,594,690,078,
269,278,668,966,156,781,972,831,392,953,608,059,517,582,664,439,478,836,662,
120,005,590,293,697,850,404,317,429,573,556,310,352,184,752,035,304,928,282,
136,088,885,648,789,143,394,901,942,731,035,040,879,402,680,609,731,285,467,
402,588,388,953,822,173,883,133,367,609,133,175,168,984,129,093,334,009,787,
488,683,690,436,251,387,944,026,247,605,112,799,157,280,663,589,705,175,458,
837,679,923,824,817,568,190,016,485,851,350,937,698,047,967,437,355,996,259,
906,371,207,505,726,659,980,015,467,386,672,785,771,713,567,183,605,798,692,
848,202,104,815,097,248,773,771,274,708,698,347,700,190,510,189,337,322,447,
769,307,180,705,313,610,033,157,464,800,246,257,985,643,949,287,970,610,593,
053,203,501,459,671,615,476,772,019,409,919,482,688,619,728,275,745,499,767,
549,924,305,996,961,422,487,573,068,252,432,463,020,039,525,997,974,664,048,
824,411,898,383,847,779,375,680,788,486,516,766,270,123,759,415,002,320,028,
455,640,492,993,051,900,298,554,444,180,976,034,707,809,398,918,955,037,263,
317,446,286,166,921,103,150,246,248,940,864,031,909,184,261,855,687,080,656,
671,477,903,084,397,390,761,341,798,651,379,939,742,307,593,366,730,259,287,
895,406,238,890,443,233,332,119,421,535,627,532,414,460,213,617,454,766,536,
813,939,393,276,092,994,808,920,721,849,788,107,715,258,636,061,838,111,070,
863,565,451,123,343,811,537,434,271,321,297,225,719,097,451,678,374,127,544,
066,904,238,224,351,127,078,069,652,092,640,360,255,965,777,315,119,461,091,
539,574,139,610,100,299,735,096,309,201,177,670,129,602,748,670,055,734,873,
276,929,149,224,270,691,253,608,364,045,380,412,490,597,428,895,193,738,202,
184,820,384,189,824,548,920,292,866,256,380,517,696,217,378,433,850,798,731,
400,291,649,639,895,012,916,567,861,201,621,845,747,653,255,598,232,602,232,
149,620,998,582,415,242,706,194,655,590,788,839,098,507,597,676,611,035,298,
166,263,954,640,578,408,020,220,746,791,458,367,327,801,946,191,000,586,610,
259,681,013,975,369,394,014,026,597,121,403,458,149,103,697,935,652,844,658,
056,124,561,674,582,434,893,519,043,108,240,002,816,894,974,899,104,557,474,
181,008,985,811,215,014,607,140,555,758,715,096,748,583,924,897,818,043,318,
408,163,134,889,082,777,992,750,467,062,694,384,630,542,752,822,098,386,288,
992,078,148,329,384,767,410,108,026,543,051,088,897,393,631,589,543,558,151,
925,716,524,431,711,613,235,355,873,107,561,301,443,452,175,008,887,906,510,
662,647,295,903,720,492,952,559,838,731,979,728,069,371,818,758,712,317,551,
386,588,138,551,830,945,442,015,303,577,757,171,458,127,264,881,241,278,500,
464,284,965,199,250,097,282,643,058,878,724,386,689,945,057,243,192,702,776,
866,423,273,184,891,507,426,989,317,205,561,045,332,418,825,556,517,896,709,
348,229,090,142,358,205,669,715,761,314,959,342,485,944,291,905,860,500,854,
396,183,563,264,542,377,309,388,064,935,753,392,461,567,894,201,299,436,443,
534,509,190,610,928,194,973,002,010,934,896,978,662,984,835,050,592,001,702,
243,623,469,489,699,522,708,810,104,074,125,444,291,620,083,564,395,851,624,
054,619,927,117,466,195,112,907,084,772,549,227,180,185,427,608,276,277,775,
831,053,086,535,723,705,328,221,167,017,424,836,835,032,343,635,822,956,913,
310,629,052,348,916,454,262,419,523,826,756,020,636,786,824,047,354,598,220,
912,500,973,763,618,897,296,067,414,916,908,650,933,776,493,111,713,949,812,
655,584,137,120,585,855,236,392,299,519,520,996,971,696,374,656,362,308,276,
692,667,526,927,656,752,090,966,801,341,146,483,161,858,502,419,184,716,466,
969,754,717,991,387,495,282,038,102,617,351,160,324,341,218,162,635,604,416,
026,500,395,834,713,187,505,084,155,223,484,295,070,799,757,305,671,753,138,
749,289,555,898,923,123,297,500,309,415,834,876,382,192,863,961,905,373,483,
867,254,170,658,523,639,720,048,154,203,075,761,251,916,741,881,055,115,966,
157,863,492,707,904,070,415,558,068,846,695,913,311,865,015,952,057,414,093,
992,797,299,626,010,656,757,957,843,437,131,113,960,039,198,414,301,903,520,
094,287,593,059,930,307,411,008,988,818,375,468,507,314,423,988,004,869,351,
105,905,567,522,732,355,208,510,361,563,910,069,091,457,028,485,062,130,882,
129,873,575,707,486,360,450,955,606,759,406,695,673,265,205,586,131,400,773,
079,091,833,799,205,686,633,750,403,928,228,310,060,204,048,543,523,489,762,
424,720,352,142,114,226,308,571,668,109,756,794,099,524,718,422,092,241,246,
026,687,655,293,398,502,991,276,068,705,638,813,840,634,811,566,417,919,302,
780,374,141,076,134,326,548,584,082,437,888,338,532,940,754,318,550,237,147,
925,429,464,573,520,499,846,876,912,272,715,308,005,702,592,678,082,959,223,
797,307,930,939,115,624,388,428,231,371,793,045,305,146,349,440,537,298,098,
795,927,145,473,626,497,273,294,495,877,299,366,340,008,389,251,174,601,346,
251,905,320,134,949,932,444,152,967,768,614,439,125,545,640,742,328,874,435,
311,917,720,690,312,238,183,850,740,082,633,175,098,045,713,581,249,377,000,
686,169,103,397,154,261,339,928,452,557,749,260,372,887,149,880,092,703,730,
918,348,306,417,132,757,784,135,835,917,743,892,120,386,778,321,818,708,062,
959,361,418,833,061,221,946,977,853,732,940,982,264,351,875,660,455,501,021,
721,170,340,352,569,369,918,420,055,949,755,852,543,000,967,069,673,782,744,
196,914,756,714,461,860,242,440,690,104,969,011,434,367,146,745,355,352,428,
625,044,692,145,907,910,901,851,105,039,093,495,490,658,841,215,801,723,495,
028,359,379,751,848,155,150,203,850,331,576,607,051,925,349,279,611,574,134,
419,063,113,131,502,158,055,780,825,830,626,360,935,428,133,584,211,762,418,
843,675,374,570,528,875,629,720,785,048,264,832,577,209,107,644,520,420,434,
117,011,485,678,710,490,056,442,824,205,243,795,292,647,563,390,936,461,190,
557,384,375,131,433,761,347,940,965,985,319,882,478,765,347,454,202,275,332,
616,703,783,766,748,843,893,375,129,210,314,186,189,890,020,859,070,401,952,
926,449,372,151,665,903,378,643,810,420,984,082,481,789,499,560,210,486,234,
527,058,946,278,225,773,955,110,661,223,250,213,504,128,232,176,087,186,924,
955,798,600,364,625,789,304,705,243,544,938,967,341,514,294,986,616,076,751,
624,020,261,807,382,226,827,842,843,927,424,244,720,159,399,210,550,734,395,
915,121,599,898,620,191,499,669,848,679,457,698,800,976,261,732,980,038,013,
220,190,075,812,106,635,336,520,951,906,278,753,046,986,621,104,237,020,180,
932,780,617,212,676,862,926,504,712,356,675,624,334,523,698,573,369,568,615,
693,810,813,181,097,885,178,464,176,281,029,907,730,587,025,454,192,191,424,
001,155,089,597,613,831,744,092,212,391,592,417,853,511,890,164,887,094,557,
192,274,197,062,093,606,538,087,098,867,883,766,465,913,124,653,357,390,411,
131,509,986,983,528,613,190,686,526,035,477,781,640,864,669,391,488,135,258,
770,250,627,114,094,199,283,991,062,317,564,910,282,547,250,895,507,246,983,
892,888,330,650,223,487,446,958,428,951,709,110,283,746,008,207,323,447,776,
352,535,477,929,642,236,971,524,146,745,177,183,870,459,620,632,101,299,212,
809,451,090,184,364,868,605,311,383,037,185,197,967,737,859,780,221,770,935,
799,468,114,338,334,694,043,019,456,352,601,412,737,606,580,406,538,152,384,
027,342,286,983,489,337,861,891,563,724,404,469,962,006,680,975,251,854,628,
478,949,058,932,955,262,889,288,434,878,799,544,383,971,635,396,430,076,509,
495,516,486,820,211,293,927,532,354,389,851,985,736,211,306,647,821,073,013,
413,547,374,215,817,431,349,693,697,787,938,868,682,477,276,854,307,115,736,
237,029,001,629,664,681,484,111,700,440,767,116,473,135,042,652,807,819,011,
364,768,799,337,654,426,308,193,744,081,944,968,042,818,921,197,770,079,979,
912,791,522,428,325,336,921,992,774,943,239,236,485,701,917,586,016,347,029,
158,808,401,429,956,984,220,907,874,528,668,195,227,942,223,936,504,003,371,
297,113,749,094,044,165,569,416,494,582,071,389,129,112,893,483,738,238,654,
389,738,398,268,217,497,645,448,610,388,005,131,319,748,557,463,041,093,548,
312,214,372,326,263,812,164,764,373,873,267,043,888,888,161,347,805,778,524,
711,352,526,819,591,272,564,315,076,751,544,099,895,418,839,612,777,336,261,
145,306,805,294,524,484,246,133,059,754,527,990,959,024,812,692,969,808,744,
253,740,188,851,803,792,986,651,158,053,547,916,724,921,647,831,012,842,390,
138,635,739,752,093,379,325,823,129,507,100,136,055,467,064,428,704,280,246,
646,968,865,339,994,218,956,921,811,256,423,663,028,553,720,869,195,368,165,
236,537,283,260,433,202,927,115,557,001,308,642,675,419,224,196,876,744,779,
057,726,623,748,824,596,273,149,670,312,064,193,073,524,007,933,886,959,258,
281,488,133,664,653,845,331,158,538,228,061,884,282,823,166,945,488,997,747,
093,398,419,292,370,196,993,683,220,245,756,620,447,504,113,612,198,020,938,
804,366,622,053,144,499,212,447,929,929,344,390,784,741,395,343,529,228,930,
626,387,227,303,259,353,371,656,743,026,375,011,495,175,636,288,037,843,994,
176,380,253,617,111,654,057,659,765,487,111,241,325,857,592,393,066,679,932,
278,746,296,161,156,870,802,047,498,436,598,305,807,457,646,053,581,845,170,
023,905,448,066,023,318,381,036,896,990,748,771,154,269,297,900,555,515,641,
580,862,765,372,981,778,309,466,042,782,753,394,383,204,492,861,492,592,096,
654,598,821,444,368,883,978,947,245,835,615,224,455,907,208,321,467,527,033,
016,201,923,309,538,871,945,710,717,585,788,423,337,078,338,005,855,821,727,
730,897,673,183,552,822,905,376,884,268,345,691,770,625,546,471,970,138,709,
365,730,808,632,046,726,574,664,017,638,771,096,502,409,371,425,466,549,893,
854,051,590,021,618,763,019,878,871,884,127,885,639,168,672,294,418,901,579,
506,963,393,077,215,674,994,508,657,507,205,599,810,446,833,875,441,655,790,
887,298,123,552,797,688,713,514,273,417,423,607,585,803,292,371,880,487,675,
988,194,306,351,091,869,453,314,528,831,367,398,548,284,888,851,573,350,576,
099,806,915,329,637,617,415,605,228,681,584,814,026,339,736,802,325,944,756,
688,103,005,667,469,538,379,247,563,227,292,952,871,756,027,192,772,440,477,
466,394,748,329,710,082,144,238,762,129,988,720,440,625,895,707,063,008,223,
014,562,235,066,004,391,598,625,725,520,333,728,417,764,343,236,052,542,421,
781,495,606,367,683,160,476,347,177,546,567,574,939,435,700,546,247,580,763,
656,637,124,223,960,901,753,295,788,310,140,509,932,829,772,037,947,826,745,
534,129,559,619,449,870,071,681,363,218,403,599,445,363,027,194,123,533,199,
435,917,245,657,606,692,997,286,620,361,476,425,883,688,982,408,532,788,350,
664,071,291,134,182,960,514,536,810,127,981,855,126,798,083,942,750,236,983,
700,112,607,596,327,407,075,762,280,147,554,784,631,120,240,459,550,065,909,
431,670,428,380,536,203,964,483,759,922,179,716,788,520,438,637,350,003,851,
754,778,408,627,946,938,036,447,680,584,536,541,318,907,579,947,569,674,948,
566,282,743,518,724,926,790,415,515,152,014,003,353,829,503,979,659,595,491,
934,746,231,640,987,932,009,541,125,588,236,278,019,634,452,829,434,559,399,
876,153,872,069,836,407,289,520,777,349,650,309,999,496,192,669,142,350,748,
039,041,393,019,104,724,537,771,013,496,496,002,835,399,367,960,958,871,353,
191,477,979,477,624,843,035,085,042,116,523,500,485,904,905,581,711,464,483,
493,723,706,034,715,595,448,940,859,575,884,842,529,699,485,721,587,278,111,
216,673,511,282,931,558,463,222,697,390,282,693,787,666,659,294,000,580,383,
570,296,603,182,217,293,756,845,147,424,680,908,421,184,496,888,442,870,985,
802,278,111,668,658,906,645,795,408,070,359,892,144,758,845,025,638,838,146,
380,095,072,590,342,801,899,499,098,853,773,210,230,237,071,693,207,467,788,
800,616,519,167,627,376,060,903,251,328,216,440,987,275,089,865,733,078,826,
647,433,364,217,385,922,014,706,351,730,643,306,361,874,066,420,804,617,632,
948,275,985,352,375,004,267,994,912,594,870,047,223,179,523,814,052,388,958,
135,065,097,175,463,591,670,022,273,037,348,725,875,619,254,581,332,555,264,
803,384,728,462,530,211,782,575,561,111,880,291,216,139,131,544,331,421,573,
401,590,687,086,193,175,155,299,476,647,721,488,248,125,611,642,329,611,035,
671,818,448,605,202,747,513,708,896,941,038,278,391,065,082,243,115,244,282,
133,419,456,560,932,359,213,703,351,572,349,145,610,706,810,213,524,287,315,
266,375,528,948,186,151,107,141,776,402,675,843,091,561,903,391,879,774,272,
339,255,437,456,132,957,860,334,988,003,562,403,692,356,710,669,335,668,507,
486,037,385,500,543,940,274,207,600,837,783,495,896,597,552,919,108,741,167,
424,338,447,014,076,875,294,973,778,958,139,685,960,083,442,273,746,001,982,
793,690,770,415,727,420,944,165,653,647,223,363,006,791,243,502,612,194,750,
239,112,994,712,580,704,700,857,556,959,188,912,982,530,113,278,556,619,406,
196,604,796,691,408,280,579,963,467,203,331,163,945,869,780,509,600,404,834,
166,254,607,851,681,272,403,172,260,161,219,345,651,828,011,661,897,508,289,
221,262,555,557,342,671,370,607,320,834,626,650,402,226,277,000,594,087,611,
606,383,781,202,718,240,522,722,590,748,114,764,015,852,571,146,235,225,433,
261,410,117,770,657,405,782,995,212,665,962,837,111,174,174,685,530,901,592,
680,004,352,681,194,776,853,014,549,836,091,937,266,166,230,040,235,431,506,
526,867,823,231,561,106,675,535,682,462,098,484,989,511,806,482,529,715,757,
019,274,389,001,016,978,500,352,959,349,551,831,204,545,053,714,597,909,724,
602,843,212,591,683,021,649,440,171,723,644,075,404,866,460,581,827,811,331,
101,652,760,315,280,001,368,855,720,251,514,189,219,621,750,352,373,387,145,
393,989,619,352,166,161,604,341,895,622,526,878,265,813,055,666,557,499,852,
713,211,324,966,899,830,432,518,059,934,116,520,826,868,888,909,843,567,683,
183,967,279,637,180,512,090,211,151,208,233,523,513,710,624,634,315,286,488,
771,881,902,614,927,361,705,015,677,587,720,097,353,435,577,193,343,389,889,
276,967,244,437,085,484,408,774,756,801,416,718,673,988,195,241,571,732,150,
483,458,631,138,101,307,682,846,615,854,293,341,192,869,270,820,057,953,813,
686,293,824,401,374,790,435,594,115,902,900,916,970,304,242,613,519,725,570,
513,654,180,704,681,261,206,997,794,022,697,687,387,963,546,915,023,984,674,
093,691,800,039,041,511,257,411,739,546,968,085,680,629,109,817,409,683,125,
980,507,520,901,324,323,542,270,661,075,576,665,589,345,344,737,779,027,987,
457,630,371,081,172,567,772,770,565,721,067,321,563,620,394,098,347,279,061,
983,986,269,432,823,443,805,550,335,802,400,501,383,327,580,997,198,271,666,
897,767,938,945,680,788,945,128,943,288,254,386,593,519,766,859,889,125,281,
180,477,848,329,871,818,877,553,893,672,526,089,575,143,661,843,344,463,246,
500,084,804,611,146,416,524,575,066,117,014,926,738,859,037,868,403,921,125,
397,971,867,462,303,215,904,995,858,922,368,581,598,903,935,406,976,442,141,
431,270,660,060,122,921,419,917,445,535,230,699,393,771,135,230,617,506,303,
407,135,505,966,945,071,669,585,531,776,556,338,298,817,073,508,870,477,702,
313,839,761,846,387,946,843,523,213,930,665,595,891,550,222,998,127,162,228,
532,323,494,853,481,889,379,475,738,736,779,427,102,299,490,606,735,174,944,
526,382,069,737,916,176,373,643,467,794,307,773,570,905,895,278,720,633,403,
609,721,907,483,320,029,536,240,967,989,734,366,321,837,231,706,718,674,562,
854,977,353,838,754,639,267,551,293,805,815,365,721,621,210,058,923,451,448,
698,917,940,006,150,979,694,691,725,106,185,618,277,871,764,291,861,287,319,
193,961,603,590,129,596,783,048,301,150,444,365,118,720,232,294,247,710,571,
499,786,199,458,521,181,084,326,655,919,067,867,509,503,072,673,273,891,254,
828,085,718,681,054,407,373,217,951,490,048,946,899,585,938,700,798,270,017,
472,127,489,424,736,874,083,555,671,864,613,070,150,773,649,353,993,116,655,
478,210,659,402,662,613,664,072,941,147,794,482,314,723,418,220,843,548,681,
608,643,915,889,919,256,593,500,243,017,338,938,246,203,551,322,868,811,906,
858,451,650,516,665,673,774,952,371,946,419,789,973,755,988,113,830,987,318,
147,624,981,647,840,266,613,231,914,427,771,827,064,151,863,967,796,277,624,
150,956,963,591,267,354,378,956,739,367,477,038,462,522,660,597,138,243,652,
918,234,971,646,587,205,695,843,546,694,178,390,102,876,556,814,816,029,554,
029,556,635,279,275,803,403,403,985,803,153,340,281,453,004,295,248,140,608,
672,430,352,423,832,715,601,709,956,510,190,168,468,009,618,581,897,225,452,
716,214,554,423,131,020,556,206,665,069,614,777,495,244,336,886,020,199,860,
288,059,562,747,100,465,891,898,757,741,688,612,738,003,566,747,493,649,894,
422,866,228,440,138,663,207,520,372,328,196,434,046,886,403,673,322,554,870,
972,574,307,266,143,387,234,573,410,953,836,055,160,412,940,335,198,765,327,
817,971,411,539,300,183,037,653,356,229,986,828,746,216,202,294,185,985,028,
065,511,621,766,568,810,242,382,352,996,629,688,329,895,131,683,806,500,874,
616,509,961,358,085,710,747,760,009,927,927,516,506,489,436,939,280,632,062,
727,567,115,603,619,268,678,599,515,705,425,151,425,556,719,223,651,243,944,
260,867,883,309,299,222,374,323,175,064,608,088,289,083,930,825,179,309,355,
504,090,452,583,420,111,768,907,007,619,663,909,073,027,618,024,105,091,659,
179,411,654,826,295,569,579,793,927,046,032,717,850,967,495,530,783,984,252,
112,859,912,811,937,783,796,088,861,730,477,955,415,626,818,006,480,238,273,
081,833,252,776,273,595,611,534,176,633,598,351,447,702,569,063,672,726,934,
527,216,575,801,166,069,922,106,046,816,938,697,498,499,983,622,633,211,655,
388,009,966,907,774,122,430,955,771,554,460,849,348,777,979,572,980,732,849,
918,047,657,049,126,389,883,778,797,815,645,213,940,588,542,935,201,727,841,
662,667,634,545,388,706,183,478,756,874,572,553,801,433,430,651,250,279,719,
198,789,251,618,514,440,454,962,283,690,350,481,916,001,054,699,883,487,900,
080,916,472,940,785,894,750,639,710,913,190,645,121,160,788,148,620,021,961,
369,704,064,365,470,939,358,754,034,712,099,869,659,632,163,746,805,261,610,
583,635,318,948,530,582,803,804,064,345,178,436,229,259,047,170,884,198,138,
469,847,956,218,592,056,467,570,227,119,834,666,750,537,047,905,020,353,786,
386,794,414,838,426,790,997,957,978,674,696,279,599,426,012,336,080,915,695,
627,670,341,665,940,227,327,307,464,908,905,521,163,558,608,202,900,737,806,
029,139,138,323,257,547,903,041,526,960,303,871,944,771,400,389,628,728,693,
475,002,699,356,718,337,756,610,370,823,831,258,894,628,580,172,965,003,186,
390,801,385,893,355,420,154,249,188,001,448,032,010,672,315,485,515,923,697,
744,854,893,372,055,422,558,182,688,608,974,198,439,828,513,978,419,843,634,
281,931,250,242,620,016,638,514,151,502,763,714,573,143,974,329,563,817,913,
592,524,270,446,170,905,825,959,271,407,647,059,421,806,146,564,956,643,014,
882,652,896,749,810,281,305,287,478,797,103,331,038,292,605,454,336,372,609,
169,180,810,307,828,892,324,345,173,305,097,756,481,895,808,344,165,720,999,
065,714,689,798,480,264,213,391,838,277,930,038,050,122,869,827,009,920,930,
000,440,081,606,978,360,381,083,054,662,800,124,291,576,869,545,390,937,969,
975,939,598,236,061,518,965,679,489,930,611,798,805,389,830,411,128,365,611,
411,052,338,492,385,331,805,428,267,314,552,414,568,779,038,695,401,487,127,
257,863,711,681,446,559,516,202,642,274,420,404,403,839,307,073,701,738,013,
401,851,419,612,180,070,749,135,353,931,656,487,906,566,631,847,006,506,939,
012,170,600,638,061,982,438,105,970,733,301,635,963,649,203,164,940,864,897,
066,089,820,353,173,264,520,521,574,076,929,132,655,243,799,918,864,622,935,
682,884,096,159,287,084,515,101,377,165,486,097,742,098,143,561,184,274,039,
915,522,175,060,799,592,618,007,561,904,893,245,425,014,071,866,736,012,967,
725,702,224,673,187,445,174,292,968,800,608,120,252,783,993,802,777,759,653,
299,283,392,087,473,733,212,926,466,197,634,140,625,711,532,209,853,218,088,
659,985,981,811,325,037,579,532,230,045,305,595,042,255,716,980,737,852,818,
937,640,108,168,708,133,587,134,978,150,217,066,147,267,301,591,827,783,332,
150,478,583,980,990,965,353,474,718,288,859,650,738,436,253,691,911,890,698,
253,462,568,289,667,548,669,100,340,303,026,356,504,347,417,018,804,437,173,
451,695,344,525,098,632,202,171,906,917,656,325,664,680,286,605,642,385,440,
244,632,804,029,622,747,700,438,135,557,234,855,690,159,700,279,398,116,004,
565,361,695,283,309,009,933,879,890,914,234,518,501,803,083,338,824,984,226,
540,287,858,013,540,606,277,059,483,312,435,387,737,795,785,344,266,569,993,
793,999,041,224,409,127,552,560,600,387,267,682,866,264,724,156,931,832,849,
305,241,897,502,868,293,570,181,089,379,012,007,302,901,270,349,172,478,554,
443,228,897,249,014,294,338,790,844,407,515,177,385,953,215,990,522,319,975,
753,404,536,825,392,230,994,307,013,561,924,238,765,148,181,383,370,591,601,
517,941,723,160,553,641,118,761,013,090,430,023,242,646,324,270,553,611,079,
279,098,950,001,614,323,900,153,308,081,652,490,063,466,717,007,065,140,855,
705,888,850,385,201,950,306,110,364,380,049,919,066,457,974,523,792,019,400,
278,147,404,068,366,679,402,955,248,912,744,421,732,827,975,216,154,430,547,
863,569,568,340,645,509,511,131,938,085,345,338,426,396,089,763,264,716,011,
293,799,985,209,411,486,097,105,369,244,420,679,372,432,903,318,186,335,390,
773,187,670,245,881,173,013,396,034,884,373,830,127,013,690,728,796,424,627,
947,255,174,782,385,902,831,548,616,020,311,160,282,930,046,957,027,317,397,
893,015,545,833,037,930,735,231,442,892,999,677,562,224,232,684,235,583,304,
399,934,706,483,820,130,259,569,393,589,528,998,012,186,656,363,435,988,604,
662,067,178,709,498,740,883,140,668,618,954,410,208,242,247,641,293,318,110,
174,319,341,938,990,499,500,549,005,082,591,797,387,470,200,551,939,230,291,
040,609,907,145,851,905,557,364,441,169,713,367,218,712,916,866,238,859,398,
939,457,421,003,885,574,917,433,789,186,731,846,122,800,663,955,792,695,166,
912,007,940,301,565,560,364,219,652,463,130,611,724,296,948,341,224,053,349,
640,864,563,567,714,717,136,137,347,095,881,090,916,226,475,807,047,075,232,
430,422,407,675,892,724,183,686,515,637,641,159,704,281,608,359,518,787,533,
307,519,975,714,130,742,463,066,665,215,084,883,526,434,939,984,764,309,204,
354,447,404,789,939,647,051,056,116,071,903,907,993,484,814,677,474,594,145,
465,943,912,155,559,891,616,398,358,025,557,076,895,692,049,365,037,517,719,
946,949,392,551,049,492,975,259,430,035,226,833,184,766,875,683,065,128,670,
083,670,262,155,428,460,451,429,270,051,528,757,037,921,038,311,869,480,655,
725,120,594,423,436,845,227,735,881,526,130,130,454,942,600,135,101,906,676,
913,308,322,513,963,217,757,478,222,176,158,597,236,775,784,663,524,647,621,
699,886,520,896,263,381,195,998,459,467,283,641,953,624,010,124,506,387,650,
693,272,824,768,075,123,091,210,816,591,776,529,374,668,220,029,159,257,378,
664,443,053,860,188,747,700,974,055,689,331,527,177,341,048,976,906,076,521,
602,909,433,461,952,314,647,739,669,834,600,037,544,174,099,429,699,009,433,
496,307,937,371,881,655,172,210,503,847,736,177,501,913,286,378,482,476,955,
970,087,824,361,945,998,108,419,194,510,356,854,121,878,287,287,547,350,514,
291,085,626,909,466,230,797,720,541,672,303,000,605,021,426,545,161,252,533,
703,039,699,585,057,778,502,969,772,335,746,939,398,735,164,861,617,962,053,
550,774,017,499,072,276,741,973,582,118,048,677,835,320,756,531,482,052,695,
139,089,209,545,283,440,197,936,524,750,632,695,138,330,501,176,020,355,810,
464,470,217,276,651,342,168,327,051,566,796,026,340,636,512,440,958,326,571,
843,084,294,746,814,499,679,283,082,164,690,842,792,091,052,434,046,356,396,
714,062,482,101,866,389,517,245,889,252,419,586,002,404,071,799,151,357,164,
896,087,448,141,329,358,696,538,667,993,565,128,623,936,795,844,002,809,672,
684,239,430,194,977,745,504,188,578,614,977,895,244,884,997,979,478,156,666,
548,416,346,799,176,395,051,730,197,425,021,486,139,665,201,302,743,864,870,
995,781,029,475,145,059,342,882,129,958,192,084,829,131,024,781,395,990,779,
913,538,061,767,131,262,117,484,121,467,727,147,558,609,967,475,308,043,383,
823,985,013,055,977,676,567,515,132,701,289,871,527,344,087,214,684,982,323,
377,985,641,615,939,428,669,144,944,161,950,099,316,734,187,861,530,810,769,
208,152,793,160,010,380,602,182,972,498,577,550,925,157,670,691,486,469,372,
374,283,837,279,544,100,412,214,988,284,890,687,874,150,033,255,016,040,054,
099,313,626,716,346,055,032,904,226,680,715,341,761,328,157,115,633,817,915,
820,870,532,573,627,784,004,668,183,939,813,947,452,426,587,470,253,712,320,
161,049,262,220,558,509,099,020,414,537,045,747,730,426,820,528,794,510,800,
583,663,804,519,135,492,646,877,645,146,304,656,217,863,084,939,814,719,268,
445,601,670,122,226,124,440,868,455,130,624,685,569,189,836,867,228,335,249,
509,042,177,683,029,335,858,922,181,225,465,955,798,473,541,819,907,481,526,
955,020,293,431,476,605,367,890,380,836,570,986,161,076,428,298,682,813,439,
894,350,219,283,302,658,212,939,431,829,139,940,400,172,517,669,338,779,150,
981,687,538,289,301,779,367,601,838,124,027,868,078,321,006,666,419,142,378,
672,956,015,664,421,909,963,291,347,846,721,002,333,615,867,973,339,586,133,
476,855,216,364,309,165,352,047,850,034,878,619,310,962,464,706,638,416,796,
668,154,691,410,954,409,663,763,687,783,469,193,994,301,014,546,584,758,922,
657,691,011,755,575,974,729,607,180,768,316,783,819,633,674,423,482,180,979,
778,503,639,611,079,865,024,037,109,209,329,892,379,388,985,213,946,607,889,
526,817,323,617,561,469,701,296,075,981,104,399,792,672,302,836,557,715,423,
632,255,327,336,659,083,564,154,168,497,577,915,937,526,647,066,286,368,580,
695,554,741,972,948,306,316,241,580,456,817,625,044,529,900,848,006,014,617,
253,839,322,158,898,887,629,794,183,954,494,400,241,135,627,196,271,757,882,
046,427,965,777,611,230,458,729,052,207,848,997,722,369,938,854,212,510,921,
166,978,104,681,072,408,928,708,215,639,121,010,362,722,383,784,825,043,299,
566,750,534,793,597,308,835,260,121,819,712,664,148,118,860,421,523,112,012,
533,920,859,004,678,598,534,005,577,706,480,523,154,216,333,339,276,054,634,
945,784,848,232,165,755,001,762,321,714,694,211,898,728,698,109,536,408,228,
364,027,460,083,578,178,313,239,728,126,031,013,547,593,630,651,369,272,652,
645,657,468,433,725,469,043,334,417,741,797,110,030,826,545,840,309,689,995,
675,024,602,606,711,045,660,858,712,252,423,399,702,406,979,413,491,592,402,
083,391,181,098,091,261,693,837,776,123,261,326,075,966,378,565,875,843,243,
577,046,790,034,777,662,378,725,117,357,686,034,720,780,488,874,636,261,126,
161,450,253,324,993,309,581,774,310,299,491,506,474,493,077,277,858,590,139,
183,825,587,714,317,897,920,332,053,610,206,405,272,303,249,135,762,972,159,
109,521,818,615,156,289,003,090,811,927,349,183,639,780,130,733,079,521,902,
548,263,589,017,598,621,861,687,286,479,847,211,875,409,398,410,141,772,013,
519,174,124,523,408,544,914,787,308,669,633,035,972,077,521,521,979,487,040,
079,774,632,777,084,327,987,143,213,711,349,751,206,134,245,042,212,554,833,
189,634,405,461,780,161,716,621,990,121,315,287,891,251,638,871,500,227,879,
589,925,379,212,378,606,426,914,348,819,835,831,917,023,308,477,959,577,475,
385,207,045,016,011,091,241,372,316,393,231,736,227,360,038,760,730,944,114,
263,596,529,720,303,819,366,576,351,721,143,344,059,939,153,388,704,999,844,
690,694,002,478,875,210,338,972,127,551,597,446,415,803,622,743,125,011,882,
432,802,556,655,024,228,795,411,858,415,185,528,519,627,787,819,772,488,739,
266,142,144,793,547,165,315,264,902,454,442,072,073,158,493,891,645,928,050,
081,064,035,834,977,550,313,739,704,940,160,714,987,106,620,733,000,421,608,
854,455,420,454,654,593,424,691,313,727,158,284,694,807,837,766,912,673,679,
533,264,001,370,740,962,259,530,664,647,163,804,882,589,038,909,721,317,891,
727,235,525,449,724,017,398,355,706,630,915,128,386,475,905,950,380,334,605,
829,380,499,641,170,904,722,659,563,986,077,534,258,210,933,495,794,214,759,
032,441,181,598,763,503,627,256,294,802,332,299,141,260,922,678,867,701,318,
013,889,498,026,689,347,046,144,389,571,043,931,848,883,048,440,442,308,404,
255,780,798,339,946,972,213,321,589,460,395,146,530,118,633,283,263,849,424,
957,331,430,782,254,668,652,508,436,345,599,428,814,949,721,591,800,957,830,
201,276,020,987,877,869,354,119,558,112,583,643,331,012,371,932,405,531,865,
739,292,417,708,129,119,434,497,290,378,280,086,802,701,288,551,343,591,882,
311,534,419,557,707,523,171,146,786,476,717,022,853,404,647,687,073,331,393,
142,145,501,034,259,339,839,342,211,263,061,656,925,131,428,930,779,681,866,
705,499,810,843,096,230,185,033,190,017,203,067,338,319,713,394,624,364,490,
214,518,573,848,963,595,273,046,837,599,766,482,444,091,722,205,788,945,088,
000,817,013,340,674,553,141,655,250,330,916,799,536,016,197,298,584,699,865,
097,743,293,707,704,745,185,566,081,617,754,400,257,580,945,635,285,570,119,
520,284,626,638,580,211,450,183,780,659,332,721,036,918,159,510,359,356,442,
641,318,860,730,073,971,783,512,060,011,406,956,319,609,454,480,484,315,433,
454,627,727,506,640,078,542,404,611,207,530,200,934,062,337,007,262,148,483,
343,935,363,428,274,120,833,630,652,623,220,202,980,903,782,886,881,219,863,
218,433,140,990,046,510,312,666,612,610,843,642,401,959,429,456,154,781,670,
528,549,231,533,058,914,221,014,466,070,746,136,942,039,051,747,486,570,883,
567,069,511,844,382,420,143,528,478,710,557,559,868,247,457,881,569,890,235,
612,297,651,708,286,266,467,098,036,076,077,575,396,221,414,848,970,176,228,
088,822,388,696,926,597,482,900,237,546,517,927,250,379,382,441,893,583,559,
190,521,838,605,268,263,100,796,077,662,604,554,808,036,058,429,973,271,408,
424,979,716,965,916,646,951,073,536,151,390,973,274,664,947,096,987,969,817,
252,885,834,378,564,626,023,136,328,021,337,164,518,259,158,884,002,802,402,
506,132,009,890,480,614,763,562,809,217,344,311,813,467,153,286,788,889,083,
529,482,305,630,778,538,903,116,041,413,377,329,018,345,817,728,195,305,254,
064,151,072,974,052,645,186,670,914,996,655,535,229,749,085,223,917,731,005,
454,282,008,837,327,148,942,067,334,566,905,285,347,148,751,351,058,494,630,
306,316,841,625,777,121,719,996,580,541,187,088,227,702,641,747,112,090,629,
057,776,000,270,480,728,337,987,257,803,513,284,573,769,711,533,553,163,333,
182,788,051,495,205,211,125,960,331,066,393,860,284,989,183,562,563,496,767,
564,794,804,309,652,502,240,871,878,603,738,879,475,262,924,012,139,992,272,
101,356,596,344,295,069,800,708,017,105,214,519,903,536,473,009,828,335,295,
721,469,200,557,011,339,812,250,087,274,074,338,395,007,072,663,351,890,581,
105,339,149,427,090,758,610,926,399,069,595,979,235,957,914,903,282,820,797,
996,719,568,742,382,077,269,185,025,038,682,987,051,267,219,218,808,668,098,
871,525,604,063,117,870,351,930,796,850,747,015,062,794,108,960,370,633,817,
466,450,415,880,696,623,897,012,933,085,053,799,736,532,319,134,527,211,738,
465,310,602,797,402,841,238,129,001,032,613,889,779,736,178,383,286,082,722,
610,230,804,206,728,980,893,826,056,401,116,537,983,503,610,510,547,713,463,
137,020,636,991,999,011,734,487,127,885,481,952,349,585,338,212,487,691,489,
559,998,005,292,967,892,397,675,037,323,929,994,743,665,076,818,346,439,875,
026,925,222,607,504,114,049,372,003,568,662,690,768,380,118,903,924,801,024,
657,151,813,565,941,218,206,864,975,950,382,935,869,456,583,312,790,626,834,
472,516,172,119,911,309,914,646,097,700,655,083,626,835,927,313,413,289,354,
702,676,026,849,501,320,169,275,320,720,942,892,241,343,265,784,734,868,950,
305,677,934,190,914,945,053,620,662,312,064,358,646,559,363,336,296,372,734,
802,463,302,175,593,784,835,224,454,538,172,684,733,056,056,117,275,899,688,
590,103,415,855,058,125,313,883,708,508,477,652,957,674,542,154,317,458,134,
874,672,158,023,998,760,561,664,834,977,049,491,871,185,056,302,409,080,476,
917,415,575,322,244,209,244,414,268,138,461,721,407,400,137,922,467,763,597,
162,863,387,344,248,606,158,133,189,658,054,526,168,817,683,250,515,696,403,
501,531,696,986,504,247,448,258,670,829,279,931,163,908,550,622,263,168,966,
199,621,259,261,607,212,933,154,771,965,939,950,329,911,581,147,107,063,686,
369,892,734,121,763,827,968,587,802,731,127,972,984,639,968,343,863,436,171,
469,250,754,732,415,424,188,633,182,166,554,349,862,363,495,784,167,824,977,
221,541,943,298,996,626,896,003,577,764,627,570,176,478,185,779,033,643,078,
463,056,328,037,955,735,103,690,628,306,599,772,129,424,220,644,467,149,721,
188,979,524,085,246,537,582,053,933,960,033,737,737,231,706,875,067,399,352,
864,766,383,093,379,071,688,433,306,336,087,813,034,343,148,817,380,736,283,
317,339,322,070,632,264,195,394,092,753,937,657,543,609,180,193,189,157,997,
484,543,455,143,905,262,830,983,909,988,959,594,100,536,949,030,518,475,140,
852,686,919,955,365,465,842,899,618,068,238,988,792,852,221,650,617,952,613,
519,332,512,520,387,950,459,352,385,277,012,393,773,686,754,896,458,755,581,
069,281,288,755,033,284,662,919,794,317,163,157,995,332,415,134,800,755,967,
174,670,710,029,770,030,759,173,838,777,983,473,767,006,107,229,992,277,693,
161,374,124,952,126,938,607,914,015,803,884,281,812,004,054,170,931,877,007,
904,991,179,214,987,199,743,984,112,809,974,491,143,966,595,666,123,346,481,
554,672,619,147,316,944,510,747,497,153,869,719,847,122,394,978,749,823,947,
886,088,867,798,411,229,412,462,410,634,272,550,035,466,776,525,888,377,884,
292,615,382,240,426,158,996,117,803,272,982,120,807,612,577,142,998,521,733,
537,669,301,951,552,079,463,854,795,808,578,163,032,568,628,398,691,882,013,
625,231,210,897,173,400,853,173,195,513,667,448,188,685,920,788,767,778,696,
661,801,700,482,553,678,599,823,804,539,698,339,373,913,586,384,816,254,315,
202,747,497,238,726,580,841,826,691,634,013,810,344,941,176,712,900,966,483,
374,715,248,849,724,385,152,789,225,464,344,801,089,500,638,705,073,906,664,
171,492,237,369,790,929,300,654,601,433,897,094,198,477,444,528,143,368,598,
693,596,024,963,676,143,760,588,834,306,732,452,082,550,565,025,692,230,539,
137,397,344,753,819,924,654,044,486,430,582,969,548,773,187,346,255,446,011,
337,218,796,011,896,212,254,891,799,610,135,110,964,623,222,614,834,629,025,
811,551,037,304,873,955,265,868,684,578,101,148,114,621,982,830,267,179,445,
912,928,765,009,475,454,512,185,493,355,329,220,791,414,142,959,611,120,765,
257,335,596,355,968,254,698,628,139,265,954,447,870,306,128,330,269,981,226,
731,379,625,489,101,958,761,780,096,836,962,481,716,540,088,728,016,047,004,
590,500,379,065,231,765,864,246,738,838,469,278,622,174,458,558,872,510,920,
253,580,257,101,217,032,899,494,048,955,972,425,794,448,686,101,381,925,161,
248,895,971,395,858,021,193,007,233,930,230,723,099,205,721,418,978,369,669,
800,225,795,146,106,326,238,745,950,183,780,487,014,238,946,590,498,138,605,
273,789,299,015,656,648,469,611,189,027,207,929,741,248,796,476,725,561,821,
363,849,457,873,820,461,671,632,815,896,756,711,333,552,266,723,672,410,905,
714,322,980,881,668,254,345,141,347,078,454,692,969,042,592,279,933,779,416,
299,601,984,408,094,821,147,946,394,926,407,504,038,775,904,907,687,631,662,
364,797,646,872,454,477,269,859,195,217,562,104,339,223,209,801,029,815,825,
885,208,203,525,950,689,596,070,062,104,323,369,682,017,933,322,092,175,491,
303,026,484,504,064,508,286,960,726,405,089,958,007,073,058,900,449,893,444,
219,807,900,627,858,380,490,791,180,851,053,441,144,565,977,441,757,970,824,
852,106,859,464,266,909,298,481,913,984,723,500,010,106,511,571,324,529,126,
632,329,778,537,011,979,791,865,403,356,701,083,660,957,360,729,900,819,071,
359,448,897,583,170,696,279,167,895,610,536,654,720,127,616,280,574,554,930,
373,441,441,674,074,919,779,653,802,979,213,400,661,430,151,454,886,772,741,
109,728,253,660,413,622,168,946,592,013,067,814,207,662,328,752,266,587,362,
780,418,345,158,973,943,973,223,198,614,965,806,269,504,268,085,715,804,184,
301,936,107,604,617,257,724,223,620,434,548,010,654,690,421,089,953,090,020,
518,184,468,920,531,518,776,617,480,647,695,185,288,557,996,371,027,595,095,
278,641,994,336,616,285,452,700,299,916,514,396,010,301,602,749,666,885,846,
557,472,879,120,627,281,923,667,351,397,332,778,608,081,930,670,985,213,289,
034,873,298,501,971,331,890,824,404,088,793,290,398,354,253,237,342,076,424,
986,662,018,570,973,124,055,818,541,195,329,197,629,881,693,593,534,448,389,
486,468,008,850,744,529,464,760,173,327,813,360,752,750,669,800,191,759,882,
659,756,173,549,903,861,275,839,689,473,334,980,456,804,086,766,793,852,468,
514,903,166,939,440,715,870,791,077,015,543,888,280,127,079,711,087,379,609,
273,593,066,549,517,347,214,773,245,460,817,879,528,276,573,110,139,816,933,
886,830,993,935,004,920,713,991,384,195,477,977,063,469,920,292,785,811,532,
276,209,176,139,646,778,455,101,089,337,003,793,947,620,910,714,519,455,721,
965,823,435,235,659,437,411,371,428,361,899,438,059,226,966,189,176,345,669,
874,808,437,827,989,476,651,039,295,420,952,856,766,024,603,131,648,470,743,
158,892,945,588,573,421,108,684,130,448,184,903,510,741,423,665,208,904,864,
502,916,640,453,913,456,189,502,252,919,715,297,616,993,116,461,166,060,760,
281,248,130,571,425,801,085,755,001,398,663,642,867,755,730,376,382,795,253,
314,701,819,946,449,015,181,205,808,682,759,443,970,046,150,257,774,323,703,
653,914,532,094,787,200,655,100,218,687,005,185,013,364,973,340,275,498,123,
710,848,954,686,663,707,036,044,967,163,987,853,311,239,519,774,311,221,153,
210,709,500,803,630,297,703,026,056,263,688,003,833,905,287,905,873,319,812,
330,815,782,891,133,247,402,331,184,100,797,591,148,791,440,029,211,679,284,
965,928,066,367,586,167,509,963,402,338,218,308,207,865,848,547,636,916,007,
113,958,211,995,012,816,247,408,610,260,251,457,544,046,646,223,793,657,187,
783,402,812,243,703,734,508,261,565,583,667,264,000,767,854,452,055,714,250,
140,471,189,354,264,292,355,530,081,386,762,699,063,626,253,821,038,672,416,
898,365,067,089,939,660,601,870,104,861,125,181,833,405,303,086,363,566,062,
586,904,197,127,208,583,714,750,575,481,215,650,721,528,626,842,853,572,108,
195,421,820,792,077,444,752,231,427,008,931,297,232,634,552,291,438,550,767,
978,813,141,234,033,498,290,447,904,445,409,379,933,767,813,052,600,173,765,
777,959,180,901,828,143,439,528,061,917,052,476,490,801,760,935,103,654,030,
308,811,234,024,685,581,954,336,179,133,780,452,463,298,243,116,003,846,756,
572,409,799,851,061,799,539,498,994,245,476,887,937,139,240,981,206,294,484,
571,582,891,059,926,186,854,273,381,331,565,358,851,939,816,688,820,487,082,
765,948,209,033,551,920,620,281,889,444,829,054,526,033,678,650,379,404,237,
660,907,035,061,905,449,259,923,972,549,099,460,766,052,886,498,607,022,486,
857,094,226,552,638,301,907,375,625,529,196,207,601,849,398,506,667,434,513,
393,321,314,613,552,727,846,343,140,542,906,109,895,628,959,608,811,207,339,
471,532,191,110,535,781,574,300,058,061,144,559,775,599,942,052,079,371,729,
798,340,195,377,197,604,356,915,455,291,941,982,238,280,431,766,571,905,387,
239,669,572,969,550,876,749,088,867,980,916,852,182,427,341,826,670,145,421,
981,214,636,838,555,803,822,234,748,200,200,759,520,804,960,680,816,077,079,
346,976,056,680,419,109,739,799,803,833,907,198,324,022,710,738,117,140,711,
283,726,278,184,868,118,276,600,082,318,982,813,172,673,790,879,002,875,358,
445,572,129,281,092,641,306,751,493,249,495,464,491,824,517,373,136,847,416,
375,684,603,283,974,118,011,798,504,787,665,798,185,712,422,464,128,293,644,
358,958,997,970,165,498,235,110,382,198,430,339,838,896,314,322,361,906,596,
283,064,373,308,481,103,564,894,733,785,499,542,394,970,160,819,319,032,986,
088,176,455,821,372,261,815,692,544,182,080,920,707,866,310,534,805,753,853,
147,345,733,884,517,667,386,692,842,331,060,386,962,301,182,181,298,247,946,
970,770,033,909,798,134,913,795,114,394,076,644,822,004,439,820,443,628,689,
914,881,934,659,390,536,570,893,661,843,117,011,547,221,214,459,227,289,845,
894,559,876,245,696,200,750,861,198,485,428,461,271,197,727,378,974,679,618,
372,790,823,261,743,238,163,452,204,721,326,449,691,378,283,918,543,895,800,
603,677,567,710,901,273,430,773,132,425,735,197,347,091,517,193,292,414,131,
165,692,005,838,328,646,748,750,857,513,680,739,379,980,254,617,799,960,705,
659,309,731,739,442,975,123,834,587,451,546,267,102,078,162,262,285,738,992,
428,104,795,551,229,407,042,215,528,055,417,940,031,809,969,757,106,130,838,
034,174,871,516,077,615,940,803,256,344,165,879,258,524,569,011,709,039,049,
824,039,529,349,698,874,536,477,628,562,345,062,284,297,051,773,937,475,065,
804,852,126,288,346,675,552,841,959,710,307,654,636,807,795,386,874,696,826,
785,066,623,796,769,693,307,206,365,540,641,816,700,370,447,458,572,480,546,
252,487,275,455,272,602,493,813,353,749,692,911,029,504,342,938,865,786,370,
111,716,683,054,419,726,058,430,829,864,219,522,872,480,057,059,933,776,968,
636,855,695,384,328,125,922,976,191,198,844,445,335,202,905,384,666,821,181,
420,370,900,858,234,964,319,163,001,983,246,935,162,427,644,862,281,106,463,
214,012,004,829,705,102,753,418,242,740,773,672,123,453,476,063,055,781,772,
850,199,739,923,797,703,821,116,208,980,563,950,863,507,408,527,802,473,680,
205,818,639,475,875,978,106,192,032,782,152,314,011,151,325,939,326,985,804,
725,619,170,828,746,321,641,604,222,562,705,581,263,490,431,294,706,475,021,
450,169,504,313,872,418,051,682,297,943,962,676,371,688,849,189,761,126,049,
511,867,139,491,064,202,925,468,103,872,928,661,410,322,653,898,772,750,615,
143,637,407,098,300,209,553,073,592,184,829,069,366,762,111,172,794,438,560,
727,546,946,760,600,893,013,879,473,511,680,597,203,191,762,131,037,041,307,
252,936,264,451,739,285,717,995,436,309,432,900,233,016,194,212,638,206,863,
422,223,856,975,022,501,732,967,800,897,357,630,367,238,960,516,291,201,043,
516,355,006,675,028,267,928,361,024,821,151,097,166,766,580,067,150,192,629,
157,691,973,511,299,205,670,129,110,041,685,314,790,168,381,998,580,915,702,
060,281,913,308,477,130,812,625,461,467,585,419,779,132,971,828,483,315,285,
442,885,781,849,743,822,249,578,161,403,012,175,572,562,682,333,762,535,195,
577,885,353,574,886,116,843,655,862,753,506,908,711,256,540,904,132,325,270,
144,280,640,955,535,331,504,023,584,884,724,581,680,934,223,641,753,616,365,
180,804,240,836,837,375,862,840,000,383,280,984,254,116,915,888,521,219,297,
868,245,375,366,623,362,049,981,808,637,221,163,473,785,569,585,229,401,561,
680,519,271,024,905,790,455,402,375,473,353,827,403,604,979,185,037,817,064,
337,935,612,071,432,761,353,705,566,620,691,414,656,064,240,311,640,250,599,
019,362,848,022,968,179,110,947,358,407,658,303,293,440,257,889,425,142,192,
166,034,835,775,109,198,830,320,793,153,179,441,688,439,994,839,407,619,963,
006,013,609,751,288,107,818,887,444,167,948,546,476,755,044,949,854,832,963,
611,874,443,044,187,036,082,022,139,102,045,538,579,954,051,708,475,872,762,
697,305,794,462,184,212,830,072,765,974,320,722,057,481,800,272,222,163,930,
551,289,463,864,513,356,650,913,442,704,653,577,592,512,148,913,929,074,059,
323,564,589,800,919,730,024,448,639,548,844,867,996,576,746,804,690,766,611,
323,118,150,070,823,506,493,644,358,705,195,284,522,876,370,080,687,585,670,
224,477,022,680,603,967,261,308,318,592,541,542,912,620,892,504,039,917,468,
362,790,002,072,468,399,354,872,116,083,662,991,790,626,217,921,166,982,404,
894,074,773,595,681,924,892,647,322,530,458,384,317,305,698,610,499,446,795,
360,241,679,061,858,663,644,382,309,153,608,491,239,613,946,383,735,992,269,
217,129,138,211,677,596,469,670,481,788,615,899,370,538,468,990,039,078,551,
050,378,555,189,218,299,027,649,170,963,277,442,933,131,245,587,663,352,621,
262,594,584,780,691,864,961,705,994,803,838,846,946,813,802,874,864,389,844,
453,434,236,622,527,602,525,198,619,689,233,789,698,054,747,352,571,623,842,
289,350,171,321,549,993,314,659,750,127,202,630,272,656,770,357,099,744,910,
471,046,268,314,496,278,804,135,723,279,319,528,842,863,467,994,500,292,215,
595,153,890,058,115,428,972,563,600,498,621,185,962,713,182,238,377,131,077,
374,463,565,668,524,807,608,130,583,900,888,459,310,938,105,439,647,354,592,
984,502,256,177,121,302,721,450,566,955,271,017,113,628,424,395,701,817,023,
392,750,236,626,661,262,481,895,353,859,347,896,474,029,385,903,906,990,534,
672,014,042,770,767,659,565,914,343,049,577,278,542,606,022,741,368,762,759,
558,465,023,823,469,474,608,827,984,396,932,511,564,737,992,221,516,504,448,
090,199,673,400,861,652,435,483,088,955,644,120,165,071,003,944,078,687,258,
806,598,009,077,346,595,743,739,390,156,008,037,711,688,658,559,708,926,539,
937,097,121,216,903,635,805,895,484,320,696,895,428,569,283,910,524,379,665,
451,948,291,723,795,214,570,229,952,544,645,023,358,405,350,281,605,884,667,
055,035,806,248,265,872,197,413,029,365,416,127,617,184,261,764,603,822,886,
761,936,405,277,423,075,042,558,110,258,546,104,225,372,985,949,208,284,978,
607,839,060,152,910,972,967,405,630,669,267,579,430,685,161,077,428,404,363,
311,155,152,036,667,407,303,902,917,299,186,468,661,163,347,021,989,575,531,
708,763,220,031,257,402,398,431,789,843,353,570,305,625,058,864,111,078,998,
855,169,511,772,050,237,961,508,631,566,292,887,737,231,429,019,290,765,602,
548,872,658,511,352,063,808,471,852,053,325,030,187,281,270,498,321,118,510,
861,043,685,893,359,661,028,234,938,401,646,293,086,004,391,172,944,630,529,
666,385,945,133,444,734,644,209,956,548,742,974,126,725,699,009,507,988,762,
080,974,308,567,734,022,866,089,074,042,243,942,210,192,884,231,637,974,243,
560,004,980,269,326,051,109,339,108,940,946,935,278,300,642,220,595,619,659,
352,335,990,942,401,225,739,598,352,975,757,548,048,258,743,375,257,682,460,
194,462,698,337,490,964,933,231,205,736,311,098,766,631,661,704,248,400,536,
213,248,794,566,738,492,976,167,567,840,932,999,221,765,793,422,093,643,488,
589,909,736,367,001,710,879,595,951,630,707,834,744,108,513,660,731,137,757,
180,693,141,139,235,065,018,744,184,542,551,002,707,729,149,290,262,002,911,
423,719,766,276,790,667,879,973,510,274,480,441,527,119,664,975,413,504,922,
510,934,315,590,915,585,807,568,784,723,851,308,641,475,310,470,520,525,552,
587,479,161,387,791,398,684,522,666,843,041,258,942,122,334,627,073,494,660,
113,887,375,838,715,357,952,580,069,814,429,126,345,901,566,449,852,254,759,
057,945,951,010,935,389,521,817,607,551,375,562,459,246,194,277,002,416,055,
719,929,942,858,657,921,892,716,299,617,666,842,089,505,705,096,547,302,277,
174,686,215,198,368,210,833,523,121,945,903,404,399,429,613,551,924,548,206,
143,233,483,200,543,211,240,496,729,236,717,684,212,794,122,307,421,270,225,
661,829,423,791,384,281,218,715,101,874,390,417,966,803,840,967,190,457,648,
804,496,370,249,732,110,901,789,098,884,351,307,481,509,487,757,279,925,679,
030,576,427,925,708,844,377,267,089,634,733,607,990,628,976,119,050,765,977,
183,841,875,278,056,958,011,140,464,096,810,617,461,868,070,294,142,361,647,
067,310,742,419,958,036,266,227,473,478,198,385,661,211,107,266,875,950,063,
640,788,067,140,466,913,789,686,891,889,870,097,113,182,108,306,162,891,343,
741,160,322,260,294,688,297,644,501,474,772,382,938,047,229,316,707,979,435,
179,792,026,803,166,862,984,179,845,115,593,639,522,986,097,690,832,658,699,
719,244,178,107,852,911,039,737,299,382,442,402,019,355,862,336,517,075,163,
906,495,560,994,551,337,807,055,000,199,165,021,129,506,098,625,727,701,745,
799,492,855,383,794,605,294,730,822,679,416,241,534,035,232,160,192,296,967,
179,116,059,877,186,591,480,994,593,062,304,326,652,682,311,948,497,214,765,
511,169,686,017,598,122,550,586,846,370,515,807,840,942,131,774,631,281,797,
386,797,076,870,898,800,321,641,579,851,693,926,052,398,562,907,407,903,964,
693,663,506,785,117,102,919,102,288,253,807,632,804,219,688,443,856,262,404,
693,883,689,707,138,817,327,728,918,285,908,412,898,755,272,185,459,206,830,
581,357,811,248,098,812,927,925,172,701,376,306,226,777,756,293,280,233,405,
814,106,987,355,531,108,468,553,428,344,852,806,547,145,486,504,265,428,906,
690,335,133,050,979,059,823,932,373,175,515,929,548,655,022,173,835,825,765,
144,104,903,333,063,387,708,635,723,004,692,030,394,315,941,761,532,405,812,
265,768,968,505,433,605,217,219,538,764,602,884,221,315,697,168,763,754,024,
531,433,075,446,627,098,143,489,035,675,295,093,214,962,777,629,430,495,961,
662,020,126,962,562,333,979,346,906,040,556,429,590,126,007,965,015,974,024,
009,723,528,665,547,744,417,564,929,674,264,500,844,477,615,478,225,004,499,
605,520,258,691,383,594,708,648,486,424,126,087,856,335,985,493,134,895,885,
211,114,179,192,740,546,078,554,823,586,064,664,944,043,699,872,954,451,710,
725,208,284,936,527,738,009,343,959,415,246,112,510,635,341,195,640,163,119,
639,564,359,730,614,932,864,515,818,416,367,430,952,395,016,945,979,065,727,
281,010,612,161,898,423,594,553,583,983,274,218,609,845,742,845,024,569,189,
943,647,339,329,892,527,152,295,045,391,664,164,161,895,706,350,867,108,400,
264,435,027,681,699,128,837,500,859,484,573,191,332,217,097,578,284,973,629,
555,056,019,670,908,451,688,967,671,566,735,287,411,436,912,083,691,666,466,
473,941,935,635,188,264,637,161,780,701,534,054,655,099,835,532,309,926,300,
498,190,309,190,005,296,721,153,395,318,162,589,924,862,872,221,650,942,929,
097,107,640,487,932,418,963,853,957,653,275,437,595,868,605,951,850,662,006,
186,858,022,889,480,097,096,075,930,669,862,969,331,173,788,660,994,555,150,
478,974,077,102,702,236,551,121,539,745,952,894,107,734,037,880,913,493,978,
207,718,947,200,018,435,356,211,283,072,349,469,777,766,737,355,552,517,045,
256,245,383,125,033,280,520,502,352,915,825,155,553,686,868,052,017,995,701,
448,328,150,678,034,494,074,025,856,823,319,622,486,921,981,793,644,896,841,
796,828,418,235,851,577,988,357,962,582,022,642,961,658,706,530,261,439,030,
252,162,366,321,686,953,216,156,450,676,642,760,114,756,308,898,108,047,253,
338,235,780,547,569,397,064,667,520,037,278,196,382,986,060,269,783,488,186,
199,377,413,754,932,036,506,700,056,855,241,340,651,297,677,283,160,981,356,
545,091,222,254,510,559,037,837,771,510,579,120,203,517,176,758,161,236,747,
886,718,811,758,566,858,796,618,990,448,479,539,727,412,477,236,514,833,045,
431,571,514,291,683,314,349,310,121,231,774,774,979,074,752,376,662,766,125,
117,915,696,112,254,893,791,441,038,334,461,123,829,424,836,500,262,989,467,
371,048,369,810,519,364,338,124,290,094,887,449,162,888,739,466,554,351,472,
340,231,299,346,762,391,245,275,187,799,885,702,365,609,825,663,923,293,151,
449,042,493,371,924,120,041,641,393,330,031,369,132,501,133,078,044,551,039,
565,421,243,812,345,083,976,421,542,826,366,851,136,237,400,313,488,046,472,
526,594,053,182,723,428,348,356,666,725,977,918,476,008,693,198,860,420,251,
266,834,597,830,461,841,860,650,657,530,373,509,978,192,795,180,389,627,927,
781,869,347,312,154,582,005,760,730,674,677,726,578,535,752,821,922,772,218,
099,621,092,007,818,997,715,983,025,309,329,666,174,864,886,025,913,955,292,
572,019,696,283,338,243,324,233,559,297,941,389,344,011,619,246,132,154,429,
276,472,277,105,392,145,841,324,588,541,942,094,170,527,207,221,966,843,789,
617,886,052,206,328,912,973,564,986,150,034,702,315,527,506,331,784,696,061,
159,265,461,070,092,670,608,782,048,890,894,557,445,885,465,910,131,850,181,
708,082,459,322,433,319,811,378,530,401,120,399,530,569,793,415,784,090,343,
968,260,047,061,265,023,020,806,718,569,041,706,803,256,401,992,406,030,853,
770,541,129,307,540,493,743,311,851,412,878,808,595,288,231,126,636,970,906,
628,428,918,498,060,379,428,925,179,872,924,596,528,587,944,669,547,990,989,
999,769,498,090,737,786,159,949,984,519,990,662,799,092,236,447,065,839,037,
630,050,415,046,801,319,295,483,237,823,574,578,931,653,451,125,366,568,790,
925,565,374,462,219,649,708,653,919,447,845,918,941,225,242,550,134,670,823,
151,194,493,635,164,983,299,070,215,348,395,329,253,102,773,970,370,996,312,
916,617,870,037,499,586,693,538,279,191,887,847,214,290,794,260,175,836,784,
376,698,113,206,977,950,300,880,716,172,124,873,135,860,606,813,334,619,521,
649,251,940,969,563,684,852,966,768,040,489,120,782,097,521,387,114,042,108,
098,537,778,225,071,959,232,346,479,327,143,869,752,526,692,174,922,703,900,
221,562,270,694,678,264,931,200,382,536,825,309,584,175,446,147,772,285,220,
759,581,589,127,486,244,077,868,914,089,330,239,372,694,852,167,771,548,717,
599,041,306,473,540,811,202,090,984,874,202,438,943,835,048,350,872,039,043,
963,905,272,166,731,583,877,634,156,440,081,046,603,990,671,291,509,272,892,
137,062,963,684,773,269,214,550,833,766,902,928,083,020,535,532,343,150,558,
929,320,664,504,977,156,243,838,046,097,053,574,901,608,891,644,744,554,004,
015,258,391,367,165,228,539,676,002,959,621,996,204,093,336,704,768,210,999,
045,361,088,937,236,528,774,389,206,509,572,257,695,232,759,756,086,940,372,
604,903,994,244,877,692,230,699,283,496,460,041,248,206,492,997,308,292,406,
967,508,888,092,389,167,416,533,915,764,962,256,544,687,773,624,210,113,546,
300,165,423,181,428,499,967,421,452,520,707,067,545,077,269,809,648,829,761,
878,141,307,054,540,958,348,922,870,321,220,593,605,673,196,211,687,849,236,
847,907,560,770,538,502,074,955,872,302,706,865,778,853,636,697,094,237,074,
918,640,290,286,812,743,892,084,059,186,845,256,790,656,218,731,391,107,914,
998,317,620,942,269,985,930,611,370,657,075,460,312,350,394,373,775,079,132,
143,546,255,578,687,353,578,836,514,169,206,484,313,035,208,847,811,336,408,
051,996,015,031,805,426,315,749,147,080,594,805,139,525,618,108,301,258,516,
676,605,028,057,282,257,713,578,718,835,922,126,319,610,463,346,651,832,474,
516,811,541,707,029,185,841,257,006,008,115,005,124,796,706,130,870,716,279,
368,436,862,684,843,099,006,649,234,191,747,394,698,656,795,322,763,806,692,
664,571,470,046,781,730,194,506,997,903,628,400,422,329,817,595,053,178,721,
010,880,094,661,260,933,078,245,786,275,793,057,233,559,168,915,986,682,601,
608,975,879,984,860,489,934,702,017,565,410,482,754,943,701,907,318,311,772,
298,744,964,781,474,418,854,281,977,570,756,866,353,518,321,046,780,160,792,
834,774,720,131,723,151,156,869,670,710,969,803,349,735,838,928,902,755,233,
968,861,973,395,312,699,811,488,117,432,972,771,736,703,088,208,514,633,708,
880,719,657,824,970,565,628,777,047,839,113,389,040,257,732,998,246,433,938,
630,608,629,287,545,174,342,481,717,183,126,471,107,346,492,213,566,098,035,
493,230,619,528,188,826,324,836,610,750,430,007,633,151,111,774,598,026,965,
927,499,213,333,440,622,704,632,150,892,004,884,673,989,652,594,476,083,184,
772,564,606,946,142,409,121,923,007,680,127,711,608,887,377,654,016,531,282,
355,376,835,303,610,417,574,479,668,043,959,638,735,673,499,427,868,983,245,
460,444,007,122,899,616,536,866,414,593,014,046,179,364,547,539,558,171,758,
066,079,101,326,477,677,669,636,967,797,390,879,191,555,287,501,015,400,723,
364,845,175,961,094,387,051,272,317,056,224,978,071,307,860,018,013,285,363,
925,431,922,342,452,437,228,066,270,613,700,692,508,650,949,541,712,516,580,
327,386,778,771,056,630,294,588,349,948,276,342,597,451,550,532,172,332,587,
809,499,942,799,017,350,033,214,688,427,364,951,544,732,270,297,560,924,589,
547,815,535,279,191,336,089,447,818,899,885,937,265,145,054,227,861,078,478,
035,285,689,204,505,440,415,815,526,616,761,000,674,663,258,131,685,101,118,
049,636,396,523,140,010,612,128,973,729,221,499,274,075,523,624,275,606,765,
333,094,560,173,918,214,233,873,033,337,691,411,563,610,006,235,219,575,138,
764,784,604,215,216,178,438,664,422,619,137,978,566,918,733,922,392,823,907,
949,053,565,127,907,278,869,146,302,710,576,464,994,968,950,353,905,580,371,
381,660,035,531,915,282,532,708,138,572,935,684,571,668,977,793,948,824,104,
661,339,543,352,673,703,091,623,305,073,254,677,322,998,493,474,150,986,802,
672,344,526,053,216,824,342,202,841,398,319,072,495,475,554,760,102,713,221,
553,544,490,256,335,373,882,000,477,176,440,446,190,369,236,563,132,457,509,
696,113,595,325,667,732,476,513,972,676,252,296,848,207,906,338,638,217,348,
375,885,572,786,498,003,647,988,298,644,516,872,049,836,427,629,729,764,627,
937,894,117,099,329,858,582,684,854,295,852,595,717,220,789,097,341,998,207,
922,954,308,465,485,648,906,589,243,162,179,949,063,067,797,160,273,976,402,
185,696,699,849,273,082,749,636,148,652,353,117,093,258,376,635,852,225,400,
295,262,241,408,195,677,696,951,413,037,424,818,106,305,187,263,055,634,938,
056,613,526,851,762,497,605,610,917,437,649,136,851,616,166,112,712,227,585,
165,720,732,339,049,615,919,609,911,284,503,172,191,465,498,658,775,118,228,
311,298,721,391,179,668,207,085,373,964,990,686,591,766,280,438,406,179,649,
781,969,672,315,291,263,205,343,486,150,364,735,906,413,372,360,076,880,690,
937,046,467,366,550,079,217,795,641,832,055,586,015,017,812,473,448,578,367,
514,080,151,561,859,546,709,809,392,233,128,754,308,665,043,264,803,707,752,
115,007,983,487,428,773,337,737,281,126,093,651,652,731,855,866,216,324,959,
626,835,345,446,470,963,391,907,881,233,136,305,772,262,665,031,064,414,734,
619,114,386,092,055,897,908,333,143,492,376,318,639,780,781,292,315,234,266,
650,002,142,800,623,200,145,271,501,009,083,570,214,901,266,354,648,869,607,
889,443,682,409,455,936,436,717,502,200,610,981,423,775,851,410,904,455,167,
405,147,492,505,020,548,609,447,449,515,265,401,717,382,405,646,830,650,507,
007,994,209,625,888,042,439,141,243,871,985,643,381,165,678,941,330,264,446,
771,473,987,701,304,150,299,585,862,627,590,689,448,016,507,705,908,308,802,
749,759,501,083,232,870,479,102,625,000,732,600,661,405,473,247,095,662,985,
897,672,148,720,322,238,229,687,178,724,011,027,855,430,413,009,847,853,772,
985,391,711,586,892,895,706,182,043,397,978,121,406,969,087,817,323,076,768,
070,850,824,950,884,306,653,155,649,828,302,221,294,248,363,429,559,402,397,
992,322,312,576,897,482,011,004,987,628,653,889,494,210,374,383,829,559,614,
683,021,585,078,972,060,082,234,865,398,021,091,540,758,119,056,420,243,097,
740,074,647,858,282,825,162,651,446,458,553,018,523,821,952,088,891,399,582,
125,612,590,074,879,216,407,546,603,299,431,929,341,164,369,041,105,978,764,
433,493,842,478,344,741,995,376,783,023,325,461,342,439,618,345,435,257,174,
691,242,853,798,637,960,358,394,116,410,124,590,326,258,126,952,586,699,450,
165,286,723,534,133,349,196,362,122,494,369,430,130,371,684,937,936,771,171,
504,618,431,605,160,031,112,752,805,974,711,583,406,001,136,211,257,308,979,
402,189,661,182,085,533,422,724,017,863,740,023,535,302,730,570,035,528,579,
825,168,184,592,287,621,321,235,660,496,563,592,082,413,512,151,435,398,758,
945,788,968,334,136,159,876,719,016,596,372,741,562,291,185,304,607,517,742,
584,986,257,959,258,698,976,481,078,148,474,991,044,566,891,912,282,147,023,
417,923,433,824,914,854,237,907,744,638,070,127,515,087,816,995,012,506,730,
267,305,628,390,935,322,099,687,702,338,312,289,315,353,741,465,144,087,248,
974,830,187,697,592,712,928,620,268,503,682,637,292,421,839,754,490,766,926,
275,376,282,911,669,563,275,956,917,139,775,661,864,383,927,738,098,743,777,
057,396,702,414,836,774,673,461,978,750,204,832,479,504,692,678,671,685,053,
380,076,561,266,977,702,658,189,760,479,808,349,541,954,367,197,323,136,197,
469,592,703,704,100,125,875,266,989,337,032,409,457,812,966,076,638,259,913,
671,305,478,922,862,575,653,695,773,988,338,267,384,136,256,889,503,078,411,
501,573,360,064,214,362,149,779,758,126,790,798,228,270,728,171,280,368,221,
767,472,502,877,887,902,126,474,483,994,193,342,750,581,108,120,843,463,768,
876,181,010,618,682,554,840,839,140,939,420,721,907,351,612,576,124,885,370,
559,864,933,359,041,544,985,016,777,944,197,451,459,919,306,134,026,191,317,
352,032,089,812,679,914,240,756,797,641,375,413,250,043,746,856,589,602,800,
621,951,058,085,677,018,745,650,163,587,058,491,994,755,651,529,934,322,537,
980,038,771,732,078,119,842,900,436,156,626,236,010,690,723,084,537,205,260,
706,779,559,234,433,146,378,051,777,012,390,647,964,273,509,018,275,507,428,
847,641,030,152,934,633,826,651,379,049,231,549,408,237,813,239,868,284,958,
205,001,495,331,743,896,207,382,971,082,743,202,956,239,015,356,502,798,321,
375,331,159,359,926,798,844,285,352,345,876,230,247,384,619,346,790,594,384,
919,579,595,987,436,586,909,831,739,427,306,858,445,142,900,647,954,919,694,
281,278,173,392,515,785,495,214,043,492,767,981,664,605,431,389,175,219,128,
902,489,636,032,452,166,896,233,154,119,213,493,922,830,208,942,950,034,704,
433,566,196,763,728,240,956,257,918,529,526,246,710,175,844,720,983,811,022,
924,874,344,242,390,940,530,705,787,770,332,182,763,854,587,162,903,863,275,
064,476,053,523,499,893,523,650,755,807,513,026,683,537,188,480,781,876,330,
421,064,409,784,435,886,465,383,152,855,029,814,464,542,504,466,796,074,546,
341,278,427,644,047,028,969,653,564,494,583,503,152,896,721,734,678,420,123,
977,989,690,953,450,245,501,712,084,823,370,158,103,646,844,671,672,231,800,
865,470,495,503,190,397,733,686,287,113,031,660,943,368,736,840,908,162,991,
712,480,329,153,721,846,617,443,149,161,845,150,291,437,034,175,151,437,935,
494,614,402,902,697,393,598,389,218,275,061,253,968,830,193,488,253,344,754,
481,216,806,011,361,531,851,881,210,611,677,441,457,099,931,757,803,835,708,
672,464,204,060,365,200,863,503,353,591,802,327,602,258,168,316,632,953,810,
865,669,953,352,371,620,494,680,306,134,498,660,124,766,503,416,234,282,907,
196,408,049,887,930,190,192,995,734,625,209,692,509,914,898,580,443,346,769,
601,125,539,483,263,299,053,571,782,733,135,019,657,327,190,643,109,730,487,
876,970,179,972,097,481,234,585,290,723,978,094,950,944,659,374,573,570,773,
884,990,389,168,440,309,547,196,677,834,312,810,446,087,271,582,717,240,933,
326,612,505,900,690,528,443,329,011,613,666,908,578,163,602,285,385,292,673,
818,153,125,025,924,037,158,409,135,814,064,485,071,342,516,007,632,164,482,
463,689,298,173,073,041,829,351,486,536,616,076,160,368,185,585,668,663,686,
872,222,779,182,249,137,150,498,982,557,538,860,888,242,741,428,385,532,757,
127,874,949,415,531,300,055,962,934,382,400,499,604,020,415,553,982,739,146,
708,718,629,189,837,367,532,279,709,860,176,908,036,161,972,569,812,654,340,
462,415,310,375,856,131,694,065,492,855,595,695,410,786,006,311,917,849,465,
271,356,169,963,649,276,486,562,077,970,084,357,463,847,515,260,730,323,148,
160,203,746,940,786,901,287,202,257,199,926,382,872,501,125,710,811,259,532,
856,494,326,668,439,328,776,540,743,293,970,288,701,030,047,125,826,220,222,
082,096,564,607,337,881,780,846,929,498,939,810,223,330,387,644,246,071,578,
973,462,674,034,961,113,566,960,220,429,040,063,064,603,606,250,995,692,836,
124,718,038,228,952,454,260,487,462,688,471,164,337,428,726,752,760,271,772,
861,958,145,191,300,270,940,578,469,977,437,862,520,163,906,477,269,683,544,
414,719,340,667,584,215,231,175,882,973,944,784,340,172,309,801,507,766,513,
336,462,999,540,744,278,467,439,303,568,286,995,144,407,985,944,947,231,244,
300,585,146,328,156,237,245,612,255,746,439,895,134,655,905,173,420,327,788,
331,392,218,351,511,278,332,177,512,878,430,822,348,920,668,489,604,989,226,
329,852,597,953,425,077,124,152,408,513,259,612,625,032,931,242,310,088,259,
170,722,740,126,760,480,516,492,912,540,086,947,570,971,265,303,704,230,588,
169,935,615,492,881,558,699,863,885,901,339,149,912,961,456,603,512,865,446,
706,477,919,794,074,332,385,101,761,470,264,927,586,068,227,295,760,970,876,
297,193,526,514,002,132,513,216,678,841,745,208,654,405,124,371,500,476,354,
156,163,502,541,861,534,169,545,329,485,264,173,975,337,516,684,126,834,408,
231,789,818,502,275,926,017,383,921,810,256,617,319,154,484,297,022,303,561,
118,545,252,698,087,672,669,736,790,193,584,649,513,467,638,963,511,621,247,
707,730,572,521,429,639,360,388,376,466,970,799,747,372,938,807,227,229,361,
950,896,978,164,545,967,393,313,162,063,332,137,686,789,637,851,672,728,989,
534,116,227,672,772,216,813,092,268,681,748,908,325,750,591,655,021,297,451,
894,216,565,596,562,539,615,708,093,567,790,018,509,634,094,730,484,587,921,
840,317,115,477,105,677,164,627,058,300,983,901,895,748,683,221,199,028,295,
017,205,534,162,666,474,634,985,536,246,486,704,021,385,264,818,169,103,821,
638,634,892,329,887,062,584,385,903,132,220,767,918,625,180,331,126,401,811,
202,824,691,720,536,653,972,382,573,188,538,967,133,883,292,852,210,788,125,
870,723,813,175,149,225,075,890,235,595,782,739,599,773,098,343,963,393,123,
332,201,924,553,723,176,062,314,739,816,086,352,061,720,630,430,773,479,470,
268,198,412,675,008,369,854,694,788,211,268,191,227,986,177,786,830,728,419,
130,519,526,445,142,477,217,654,438,269,696,524,725,277,236,755,810,905,023,
929,195,865,548,506,438,708,995,358,400,801,832,425,556,622,161,940,832,181,
574,008,722,581,433,451,323,423,522,309,035,468,371,002,597,993,841,030,968,
166,878,031,943,376,359,029,687,109,602,811,878,496,431,860,715,597,689,762,
252,165,347,746,559,890,321,021,685,840,839,825,091,017,841,211,979,618,909,
972,402,666,681,606,320,343,532,803,205,529,024,066,065,560,063,496,874,246,
114,351,012,176,200,291,178,318,973,452,229,166,124,480,392,375,108,264,885,
476,010,350,953,475,614,221,660,148,142,297,464,225,701,253,901,118,205,759,
757,987,615,283,248,179,162,785,808,949,273,889,703,510,264,100,914,170,331,
028,511,336,632,310,646,986,013,718,660,437,021,704,180,756,388,441,505,066,
942,853,692,374,956,806,652,284,279,368,917,038,342,608,586,106,051,011,657,
453,618,270,531,836,900,613,919,430,038,359,477,215,186,778,532,622,861,040,
638,886,756,648,744,592,666,412,059,002,698,475,280,824,983,956,552,236,601,
109,814,587,459,138,256,847,281,322,727,842,305,615,762,425,616,077,917,363,
842,179,444,958,473,433,258,645,003,448,063,172,988,097,569,668,732,140,182,
621,278,415,534,772,817,151,062,291,988,265,305,523,073,522,662,011,182,190,
875,883,353,517,421,736,307,827,173,931,299,647,243,562,722,998,122,356,178,
220,563,437,131,114,365,630,996,282,560,861,627,314,535,629,836,828,630,451,
081,584,299,843,198,344,199,646,186,752,684,166,839,992,820,967,089,242,783,
676,391,702,342,035,359,614,679,383,034,691,725,182,296,507,839,082,153,783,
678,635,553,514,832,874,250,023,874,088,488,787,108,228,901,861,401,063,277,
427,157,329,643,973,524,634,649,893,312,751,916,270,815,944,338,317,691,815,
762,562,989,075,251,906,120,321,468,500,549,979,350,824,602,650,391,675,186,
229,458,376,961,556,583,123,259,612,081,773,218,090,039,953,624,084,773,282,
165,383,973,896,259,590,113,877,914,957,917,289,646,837,696,560,415,015,259,
530,197,724,129,675,783,930,593,017,277,718,292,320,528,922,792,720,473,572,
395,272,571,120,916,631,096,702,114,899,393,188,853,258,149,599,972,103,945,
336,242,493,022,803,786,863,741,006,631,482,465,190,934,419,574,127,629,574,
441,196,966,778,156,063,033,183,069,062,864,814,158,858,245,621,064,309,331,
981,028,411,457,441,223,062,915,839,790,258,112,875,872,302,013,716,602,345,
302,893,461,990,358,487,599,345,918,776,748,474,720,816,793,832,869,619,748,
805,312,105,887,930,047,476,806,060,476,410,404,716,061,534,906,041,733,509,
541,454,706,987,831,818,238,705,401,622,435,445,093,522,284,935,404,665,559,
995,041,349,885,400,457,345,232,608,330,494,228,876,838,231,894,368,221,878,
021,171,746,011,489,833,218,885,294,054,900,569,692,352,829,894,189,201,583,
917,053,070,577,921,108,516,062,833,135,708,053,555,324,008,054,984,472,890,
567,087,710,352,545,460,738,318,820,291,748,955,522,468,151,774,783,420,419,
776,035,647,424,751,644,153,542,526,836,261,513,467,321,458,778,155,682,925,
822,148,535,397,397,131,334,841,316,240,761,275,329,290,713,346,022,297,656,
034,045,790,469,433,501,706,542,777,479,703,607,948,771,081,684,156,122,833,
127,280,652,797,760,506,611,868,129,983,275,645,855,238,145,300,005,662,148,
007,383,463,637,726,286,089,255,613,017,272,419,593,617,756,495,150,196,583,
233,133,488,210,158,622,552,125,896,775,784,309,816,424,118,454,543,162,171,
918,225,273,440,132,836,876,567,412,403,171,886,139,090,147,136,150,989,127,
493,249,930,162,889,456,716,464,533,727,558,127,114,411,161,430,124,933,176,
045,418,591,546,068,570,218,490,709,552,837,077,802,465,275,134,905,219,421,
703,431,872,762,466,605,797,248,228,253,118,083,811,905,870,547,026,468,022,
962,548,746,420,952,430,788,433,073,025,037,191,271,620,496,042,078,857,018,
141,304,098,618,967,409,475,129,055,853,868,817,416,275,777,514,932,592,971,
369,819,485,811,741,144,451,054,159,946,644,236,189,251,011,405,679,536,911,
592,858,841,387,365,078,278,712,055,870,478,842,888,944,892,654,864,306,621,
829,167,610,361,797,866,632,548,211,344,106,734,131,934,893,197,197,263,711,
226,110,543,121,327,427,601,376,830,650,916,669,790,120,392,130,676,646,527,
192,709,780,625,557,069,924,885,763,467,887,692,038,996,717,617,024,636,416,
677,791,642,078,265,359,345,556,998,786,722,526,229,832,958,756,940,175,711,
052,633,869,370,058,935,727,804,972,251,733,265,183,307,439,476,209,222,434,
747,163,562,353,363,181,720,245,728,057,355,767,743,970,143,844,449,446,207,
661,398,896,665,391,143,907,611,338,640,006,860,744,407,058,200,918,597,307,
623,430,126,074,995,212,334,010,893,606,026,490,043,631,137,874,263,716,114,
903,673,676,131,874,896,988,328,510,750,746,011,205,999,117,273,196,943,623,
770,210,130,014,289,591,667,099,844,029,022,184,771,153,042,365,104,909,353,
406,919,009,903,133,936,427,184,136,556,267,781,602,029,688,591,240,395,117,
309,191,694,561,095,718,337,303,421,725,075,632,791,916,029,534,334,541,633,
092,207,446,646,622,912,285,296,065,550,162,199,945,638,469,949,573,408,421,
840,768,093,537,680,702,808,942,742,558,980,759,821,737,260,168,322,935,541,
276,892,736,382,309,638,225,962,257,225,325,130,737,635,678,148,654,383,952,
462,318,108,472,755,478,695,389,552,088,579,851,832,629,551,054,448,130,745,
866,749,729,035,717,045,131,110,357,694,607,727,127,676,801,308,789,427,887,
547,513,901,419,358,331,605,065,773,420,579,116,771,526,228,842,522,859,289,
379,026,655,575,118,822,148,959,210,528,075,866,908,766,694,790,243,208,147,
817,302,091,486,818,170,267,675,214,397,267,162,385,120,316,894,534,497,812,
433,377,832,158,721,589,690,524,458,892,147,816,641,748,204,957,670,213,530,
958,013,877,024,524,891,586,637,090,744,342,253,562,406,200,491,713,232,644,
425,650,056,088,630,517,120,022,394,645,105,270,334,588,300,420,128,178,767,
429,190,088,805,110,274,773,736,401,192,313,313,036,976,823,224,784,744,638,
259,205,014,892,574,030,890,935,369,753,923,869,182,549,914,038,040,560,904,
199,676,623,898,929,668,769,584,449,488,864,161,802,604,455,554,960,740,787,
674,972,702,900,108,653,848,437,473,899,753,994,387,578,255,533,716,986,296,
866,510,911,497,543,420,029,217,125,678,445,402,961,103,127,822,311,838,355,
057,304,017,027,270,713,590,382,359,213,119,549,069,003,853,481,585,001,088,
473,132,364,870,926,658,762,571,915,425,136,310,805,225,302,968,087,299,097,
351,425,085,655,921,785,747,533,036,936,979,408,596,885,278,907,567,729,460,
453,545,816,558,864,407,715,856,646,958,685,731,492,439,439,611,396,054,361,
402,108,881,315,067,629,166,230,079,554,372,043,886,724,310,465,699,856,091,
397,614,727,445,569,054,347,250,780,923,119,530,079,483,252,148,844,278,236,
897,568,604,137,593,591,658,983,425,586,756,927,437,621,796,800,089,905,972,
798,856,190,038,932,952,446,380,998,052,615,816,497,850,169,093,614,636,588,
944,994,791,412,264,209,635,373,919,341,492,495,717,319,357,543,819,647,417,
908,296,729,488,180,653,205,665,337,702,776,185,128,384,529,068,602,696,621,
405,257,600,472,016,886,320,239,303,654,261,562,582,080,989,253,888,622,454,
184,192,620,398,984,787,233,003,590,011,313,739,783,887,051,178,892,386,556,
751,192,170,924,852,493,810,227,021,282,488,056,862,552,948,889,794,585,804,
948,802,368,213,861,955,306,049,247,847,791,996,130,562,922,287,077,455,500,
011,800,696,191,408,038,329,777,489,722,125,108,435,832,368,632,179,598,238,
103,595,413,203,898,487,475,667,789,426,356,911,431,784,731,377,215,498,513,
313,679,169,695,024,947,946,126,594,366,505,656,310,132,776,048,706,847,178,
393,811,558,427,094,758,341,977,191,691,777,734,005,468,384,297,802,788,821,
966,664,507,283,741,751,843,707,528,996,740,662,762,403,766,445,840,521,344,
522,990,163,399,617,759,566,506,949,974,450,580,628,363,229,658,512,082,870,
365,436,821,448,490,997,040,631,291,752,614,526,634,976,160,097,632,110,419,
877,210,242,955,219,914,097,940,060,277,927,477,304,109,126,316,419,504,746,
033,080,086,756,213,565,118,307,674,478,750,924,955,035,807,610,500,389,794,
314,376,897,068,982,987,762,115,991,685,491,073,717,740,350,472,301,968,356,
676,910,277,811,012,016,664,347,866,747,865,852,310,570,911,607,312,017,723,
968,744,238,007,259,054,627,025,954,593,085,448,832,223,304,301,896,036,762,
327,992,199,745,148,476,714,407,846,293,355,618,563,675,492,625,854,770,992,
581,199,795,290,303,148,449,424,149,813,850,213,093,363,239,231,205,881,664,
658,674,315,747,012,801,560,627,724,351,008,987,634,701,004,104,415,090,251,
054,273,880,669,781,148,401,171,745,558,733,867,072,862,108,763,744,637,117,
742,024,925,231,206,677,917,903,646,962,212,094,444,247,354,219,865,636,841,
487,259,079,751,539,748,851,634,055,945,954,905,225,435,234,551,396,008,011,
540,084,168,614,374,153,874,263,956,956,702,819,747,588,811,040,284,206,920,
878,035,953,378,314,046,123,472,494,294,734,498,701,148,111,396,184,950,276,
196,300,762,539,677,905,475,165,983,162,332,131,640,534,795,215,733,033,315,
006,466,213,793,981,074,116,646,948,538,369,005,827,005,664,644,146,156,221,
687,438,965,065,684,973,911,239,855,149,522,669,285,811,879,386,463,712,681,
711,718,330,099,835,701,594,364,306,230,788,434,378,823,195,032,254,799,763,
463,195,543,500,514,169,472,341,765,057,505,661,486,311,958,177,714,843,470,
373,268,681,919,233,038,289,213,598,166,772,745,030,221,643,424,306,706,679,
543,754,234,961,691,285,102,163,822,669,727,301,285,200,811,891,147,141,002,
466,023,147,536,994,148,789,511,473,329,736,218,999,673,749,202,161,195,611,
937,493,432,323,051,229,543,596,660,497,794,100,053,441,590,815,745,807,567,
777,884,640,483,532,206,134,899,817,054,124,865,244,154,197,053,967,805,710,
761,839,305,761,287,402,640,946,513,200,783,851,820,118,751,794,469,809,880,
407,178,639,202,196,296,210,709,332,030,074,420,829,530,235,960,580,114,355,
976,847,869,423,968,203,087,882,422,195,285,201,075,794,841,293,127,864,455,
757,275,574,953,766,497,778,082,831,850,284,114,792,189,150,418,287,622,801,
814,616,180,546,815,567,325,128,012,435,840,927,277,087,334,916,603,827,544,
515,250,649,559,971,520,995,138,533,569,952,627,194,195,702,192,836,310,635,
602,238,601,399,389,617,382,275,571,181,784,770,453,944,502,877,663,873,271,
904,896,605,684,616,762,528,787,706,500,115,009,641,630,875,478,146,324,718,
406,301,905,011,339,624,498,374,920,423,351,509,501,923,983,768,661,321,550,
646,414,347,262,711,002,968,499,672,118,075,054,072,361,564,995,800,297,177,
097,439,560,473,413,057,976,166,675,704,776,112,751,762,885,149,431,322,260,
319,124,138,109,139,290,051,667,621,155,542,186,861,687,293,192,282,869,509,
954,902,233,448,607,579,747,200,679,139,198,400,021,188,527,258,526,630,403,
655,728,549,115,361,592,941,137,533,959,530,066,743,818,438,181,464,029,986,
890,734,955,613,870,929,594,023,758,433,893,093,716,076,420,932,876,963,779,
042,315,533,166,547,384,425,691,962,458,681,866,383,612,203,657,634,292,610,
059,850,191,593,979,617,344,216,723,802,603,873,564,880,641,829,693,214,162,
755,988,963,123,874,305,422,983,618,639,893,486,024,287,030,797,127,334,199,
905,906,963,556,882,991,335,537,301,258,384,105,812,193,651,905,297,155,654,
337,421,820,636,584,091,765,259,820,746,423,975,005,231,801,059,095,441,211,
855,262,743,391,723,416,786,754,971,261,472,851,625,317,712,278,233,155,631,
118,955,665,707,318,649,112,835,894,806,348,773,390,686,533,118,226,255,849,
531,985,248,648,415,385,712,551,297,926,281,647,860,486,200,124,546,811,721,
324,191,250,349,704,205,587,398,626,500,938,012,654,058,377,023,395,638,359,
981,737,456,124,762,967,293,340,465,137,338,196,297,508,704,835,970,226,948,
909,508,073,565,568,870,585,881,680,704,860,165,636,283,577,821,573,824,294,
721,268,610,404,044,705,582,894,176,817,208,359,985,230,400,701,799,568,866,
975,773,617,687,340,398,961,843,474,142,734,462,442,311,773,650,605,559,441,
857,050,658,855,351,903,991,521,456,047,702,560,236,604,801,274,712,852,386,
845,725,899,243,711,499,518,669,186,018,874,013,477,284,562,667,971,187,812,
639,452,604,464,032,459,802,760,426,740,780,464,478,164,254,157,740,132,544,
069,662,374,356,094,916,219,804,974,134,142,852,604,621,977,874,660,468,778,
843,016,152,270,998,440,909,223,179,680,090,894,677,238,758,115,243,781,612,
523,425,459,249,352,193,048,925,874,761,261,784,907,883,033,344,939,689,669,
647,236,351,569,316,596,091,465,709,158,367,762,340,295,374,751,292,329,239,
244,171,089,244,558,029,162,120,720,441,319,411,297,118,518,767,048,508,833,
263,397,932,741,178,503,918,338,933,032,858,643,677,718,378,649,740,021,849,
719,287,778,008,456,875,992,145,508,383,212,216,203,827,932,377,865,051,921,
350,015,996,459,416,586,029,487,907,487,270,952,316,102,982,408,938,076,270,
118,374,173,492,449,191,019,923,615,258,093,839,427,842,673,126,603,424,640,
792,605,598,482,813,238,984,542,015,121,082,254,771,431,809,205,616,482,746,
017,233,348,924,592,390,391,794,463,960,449,502,816,309,877,158,945,644,960,
029,532,810,055,189,279,222,417,297,672,130,382,785,181,992,785,791,452,195,
615,410,360,993,387,852,988,996,639,619,070,952,092,856,046,224,831,931,983,
100,151,268,398,394,502,011,037,643,467,809,328,007,195,159,698,541,207,223,
878,633,568,894,564,949,700,941,429,602,762,501,279,272,679,289,637,141,195,
528,652,153,506,020,110,674,922,429,904,099,242,182,264,045,539,210,857,608,
660,590,676,013,349,526,529,879,234,500,774,324,417,488,164,610,856,226,611,
634,177,849,790,148,289,378,039,432,564,367,900,065,393,213,260,233,737,386,
852,261,375,075,041,123,303,082,183,176,444,475,100,459,025,906,291,726,861,
463,305,033,495,167,349,075,621,301,235,681,978,091,575,191,209,105,189,371,
223,171,081,318,900,315,156,131,039,767,334,806,790,255,197,735,402,697,264,
777,743,445,451,771,245,587,231,710,767,865,632,554,334,488,625,154,385,452,
694,214,501,137,690,637,190,681,325,031,957,354,334,557,038,140,930,647,968,
714,336,410,903,380,429,088,055,359,132,306,609,041,780,251,861,338,642,974,
096,424,568,575,041,149,019,784,827,869,379,236,938,999,360,966,792,289,326,
096,203,331,522,291,377,302,267,089,908,248,129,703,898,371,858,805,968,376,
289,836,118,128,858,622,719,510,296,879,981,717,584,736,701,041,942,340,886,
007,784,182,472,995,741,973,881,002,443,690,950,249,586,957,323,606,598,790,
914,866,849,920,265,487,465,636,858,496,604,199,087,808,820,153,969,888,761,
408,239,825,186,504,509,210,763,185,473,816,992,051,542,271,119,436,113,359,
959,015,688,995,934,513,865,030,851,508,756,160,304,485,529,611,679,805,231,
511,368,260,943,732,283,955,054,732,840,816,633,698,311,775,741,177,064,749,
113,261,569,834,842,158,774,147,570,469,708,096,075,374,476,597,472,055,230,
527,568,046,459,853,020,268,877,242,611,714,759,620,913,662,337,506,177,672,
683,101,009,816,988,718,648,172,287,045,190,808,076,255,674,365,708,249,286,
405,680,567,950,412,869,069,224,595,698,392,669,224,617,702,344,401,741,294,
016,286,974,110,627,606,450,136,895,772,327,075,128,013,635,243,271,300,570,
388,172,831,771,487,180,998,742,558,701,006,995,246,537,594,352,065,827,256,
553,641,396,118,948,863,073,300,836,219,057,505,976,310,212,869,991,653,739,
967,925,618,619,544,030,410,800,081,957,683,743,190,967,142,182,646,614,952,
344,849,876,898,945,447,117,190,143,418,228,526,282,178,971,337,597,920,937,
208,055,228,239,834,266,035,892,431,278,434,980,928,015,595,373,490,897,552,
189,684,081,426,289,295,923,123,435,444,694,615,629,798,399,121,923,315,069,
032,322,577,069,989,089,803,342,948,510,349,989,657,499,670,708,373,039,468,
592,248,095,056,201,999,214,619,230,907,509,151,129,196,173,885,566,594,529,
969,700,362,721,762,562,622,395,618,246,478,671,506,064,187,263,272,005,409,
743,718,397,316,150,292,613,714,809,042,510,805,254,890,979,302,744,289,052,
078,157,800,950,156,616,468,137,641,803,385,895,476,737,329,044,691,714,902,
891,980,446,256,934,366,661,483,954,647,408,671,677,026,557,988,217,276,632,
243,599,015,728,108,197,929,061,012,990,317,846,168,737,975,112,512,652,699,
410,026,783,177,570,689,557,773,228,966,164,581,041,644,164,996,742,799,278,
041,288,150,688,642,993,152,684,864,132,519,619,773,120,841,257,094,567,353,
866,623,480,806,684,045,695,967,725,178,003,057,000,115,899,076,459,692,346,
216,215,178,838,090,147,412,471,989,856,522,476,381,769,685,960,105,171,482,
235,757,892,751,561,411,438,413,969,853,233,583,388,193,572,302,555,519,690,
934,933,033,958,481,995,123,586,921,104,615,153,054,189,939,316,840,744,742,
782,296,284,664,012,140,183,444,006,301,839,990,988,272,355,673,541,986,070,
164,783,326,680,437,565,386,797,038,203,095,487,050,053,544,642,705,822,354,
586,398,021,162,879,400,133,727,377,654,758,990,387,277,637,772,591,209,746,
149,194,964,884,953,516,490,539,548,842,929,083,009,591,928,177,101,520,699,
323,518,888,935,365,477,148,591,247,941,186,255,823,503,235,624,533,496,290,
456,457,623,784,420,115,682,453,052,344,625,964,165,502,530,567,551,115,269,
529,553,093,792,732,655,431,222,480,576,535,848,608,221,654,051,217,968,844,
368,872,885,273,329,248,500,124,729,236,465,509,854,969,705,996,176,021,579,
347,087,527,255,416,007,189,168,547,411,792,230,544,715,785,113,341,945,450,
700,872,982,713,728,869,806,322,899,183,792,320,074,432,594,875,263,167,284,
063,982,648,463,977,464,468,693,930,096,602,334,624,141,606,022,252,099,606,
595,596,464,435,588,769,879,895,656,875,001,219,731,722,411,852,309,954,883,
288,173,861,941,430,565,386,969,032,979,578,905,898,458,998,432,708,430,138,
493,639,891,246,746,902,226,510,723,024,870,546,656,372,658,285,092,010,737,
916,211,627,133,257,056,900,054,888,693,357,863,042,638,733,330,993,155,942,
330,620,989,802,194,609,497,203,565,058,331,836,096,464,514,545,830,916,592,
511,582,176,064,938,827,861,693,442,158,516,472,327,204,279,859,261,246,785,
848,174,137,952,527,692,282,930,891,571,404,464,515,274,586,211,721,211,705,
769,354,968,613,152,124,106,378,660,392,528,080,984,867,187,023,356,693,379,
777,532,440,117,872,758,669,453,082,805,635,599,945,386,589,289,980,274,663,
594,035,270,841,192,078,916,949,250,036,737,485,131,302,101,465,491,578,204,
023,566,830,692,888,385,820,978,555,590,799,408,662,601,850,768,813,541,894,
804,817,864,393,132,277,611,372,713,705,557,065,257,795,072,141,360,121,295,
923,237,626,172,398,587,361,639,540,558,411,010,583,083,123,402,674,550,439,
643,086,941,940,292,119,869,069,690,264,294,090,114,696,889,043,017,693,310,
083,376,301,535,199,342,800,178,235,651,121,007,820,285,113,875,883,043,976,
020,501,433,075,297,253,825,081,208,512,813,021,317,021,218,011,851,668,371,
475,550,802,259,622,990,227,802,167,017,968,874,436,119,259,206,074,324,687,
455,600,184,687,226,281,662,489,886,096,191,606,653,271,196,054,585,491,174,
177,926,942,996,058,305,434,204,738,863,874,642,562,547,333,057,426,031,891,
767,800,588,089,902,203,368,856,292,938,435,027,015,704,035,509,826,792,774,
929,636,574,137,348,601,595,868,385,545,603,448,368,574,617,502,399,375,262,
282,360,127,860,976,309,550,162,774,610,839,848,150,592,847,663,956,460,839,
715,538,133,026,336,857,398,979,803,736,642,461,710,361,451,186,204,949,523,
022,491,352,190,232,295,755,053,156,232,307,517,476,507,271,479,619,653,701,
572,826,811,048,139,025,802,835,105,756,554,637,626,921,607,642,599,033,664,
399,920,356,484,958,167,219,130,462,411,817,950,387,454,859,059,775,019,695,
763,789,950,875,434,414,453,074,843,553,296,733,228,322,684,183,593,573,588,
685,493,823,849,003,474,572,907,288,382,034,853,730,365,263,451,463,882,738,
662,906,135,177,018,461,972,434,121,861,963,747,262,560,487,431,583,966,115,
969,459,910,825,643,150,411,589,257,666,778,703,379,376,239,422,276,646,222,
965,194,106,785,485,831,621,574,923,679,521,301,954,086,120,614,868,309,154,
157,965,286,643,712,268,948,018,290,262,018,300,493,909,950,253,272,500,730,
376,049,959,319,017,538,751,797,798,140,713,574,547,075,781,360,203,223,591,
878,534,016,010,771,662,569,118,372,741,485,133,232,333,014,635,909,769,319,
115,990,529,192,207,231,263,088,189,091,625,535,005,893,513,488,728,511,683,
355,339,696,298,773,824,739,181,192,807,146,299,130,337,826,076,899,230,020,
801,425,514,161,051,813,991,131,592,026,865,736,770,792,911,985,897,490,325,
414,228,003,726,004,432,923,461,253,015,357,330,961,435,805,240,031,187,061,
962,035,608,938,139,908,361,040,606,026,063,227,500,688,151,820,799,006,128,
403,886,238,666,317,402,406,652,642,270,994,406,563,481,359,202,256,584,513,
259,277,773,619,243,477,476,776,005,755,440,524,583,666,114,087,011,697,638,
118,285,069,820,497,355,504,857,257,172,608,771,342,420,862,016,840,099,188,
806,623,714,260,308,647,160,310,363,897,036,127,192,741,364,902,552,222,144,
250,698,669,963,019,119,068,130,999,309,648,121,722,513,148,263,647,172,310,
415,630,846,448,669,142,587,114,264,705,363,840,003,610,562,797,386,816,917,
963,059,693,073,718,288,055,492,663,265,565,866,876,495,186,457,931,848,246,
642,930,919,689,713,070,048,478,779,876,087,954,883,029,673,787,919,005,150,
671,307,986,006,750,750,185,318,142,406,475,268,252,147,108,033,270,079,867,
059,880,733,636,031,429,290,390,200,195,598,445,472,407,215,042,106,713,971,
490,961,940,296,258,221,832,768,458,643,118,529,718,213,914,335,616,293,032,
648,069,557,731,976,992,960,248,155,749,214,962,913,476,087,048,981,094,027,
841,052,110,661,467,296,115,435,119,863,881,611,507,421,507,778,848,904,172,
191,759,989,337,498,381,218,997,460,710,969,324,701,154,963,714,584,733,074,
326,023,009,335,481,550,084,785,085,971,285,064,435,706,852,783,374,863,544,
572,683,716,451,159,957,615,378,662,220,230,582,903,403,128,080,187,488,121,
219,796,999,683,451,998,549,022,833,349,525,643,451,092,938,297,754,994,504,
250,548,444,256,704,779,445,270,024,546,900,209,027,497,470,866,936,525,608,
953,425,019,167,499,572,185,878,348,729,831,384,636,225,175,240,704,336,810,
061,339,801,398,709,732,564,601,871,211,703,983,115,349,918,229,595,292,619,
260,169,167,777,099,500,078,857,440,893,762,651,021,355,787,425,060,728,932,
638,194,837,796,513,954,169,603,185,309,710,563,388,726,932,532,689,184,759,
395,159,573,151,417,121,992,963,745,673,302,426,789,516,642,301,593,868,438,
103,184,269,550,115,482,984,731,289,869,029,248,744,466,516,990,315,438,498,
072,632,499,710,981,970,757,844,836,793,176,052,206,152,866,896,605,361,042,
076,170,716,835,515,085,072,102,079,902,935,212,863,287,500,905,107,985,203,
646,776,353,859,942,000,763,211,387,219,814,437,331,054,948,985,392,364,652,
457,488,391,364,269,948,084,318,433,364,283,627,028,053,384,840,560,949,967,
466,957,185,749,716,528,562,466,151,388,333,356,812,232,754,637,666,335,544,
994,121,931,002,162,477,171,572,711,195,089,128,330,855,817,224,229,405,482,
417,717,381,374,383,621,557,438,082,572,037,396,420,223,316,518,283,570,065,
293,912,046,490,965,254,688,648,389,955,626,649,945,997,618,207,157,297,519,
281,967,895,208,103,117,620,538,735,108,973,692,860,614,116,863,231,275,926,
755,293,546,197,098,131,881,265,721,105,531,980,124,771,697,716,985,562,443,
956,620,907,845,946,993,908,644,445,830,269,234,074,598,881,660,296,633,429,
311,880,624,263,905,658,811,534,250,018,104,893,726,061,293,979,445,533,260,
839,390,968,180,183,157,976,714,608,026,482,800,469,475,172,865,653,737,448,
542,237,327,924,480,059,690,422,138,113,016,270,274,283,336,961,451,709,126,
245,651,269,235,834,776,202,175,569,965,031,004,708,052,494,126,771,727,820,
993,030,430,419,733,351,416,881,649,366,686,195,861,824,695,984,533,476,927,
464,683,305,123,931,782,512,603,517,895,393,508,906,413,857,684,627,397,386,
866,604,264,495,097,721,289,345,845,090,067,764,634,183,192,520,070,763,554,
350,456,893,732,352,853,939,401,369,808,755,589,516,575,699,148,222,167,334,
722,241,636,699,585,924,309,445,032,107,296,972,073,965,747,848,591,619,819,
808,240,573,262,181,623,317,613,824,374,582,337,528,264,284,500,416,680,565,
729,436,068,244,729,413,007,157,408,832,354,968,563,288,119,984,560,536,361,
695,234,145,698,908,123,403,363,807,419,714,304,406,811,362,341,454,576,075,
921,427,965,475,974,035,240,625,033,172,049,291,450,195,317,100,053,872,929,
042,394,462,143,773,726,966,407,748,383,815,062,256,412,628,915,474,742,636,
435,266,517,699,976,324,293,501,255,683,730,914,519,755,875,117,765,926,530,
456,252,085,524,205,080,094,305,004,203,015,746,761,463,974,171,420,433,979,
311,041,340,209,252,954,278,544,077,879,334,327,980,939,721,556,758,089,012,
910,611,363,932,794,892,747,222,509,355,893,919,068,194,808,615,065,570,109,
407,497,105,064,967,978,766,861,614,239,239,674,078,759,547,862,201,447,380,
492,764,273,449,066,622,670,436,418,804,554,000,186,377,597,482,151,420,929,
959,181,090,473,653,744,981,816,622,762,201,519,493,933,010,112,440,840,936,
265,848,704,195,770,633,489,888,206,246,682,272,459,917,493,019,892,350,496,
642,221,807,051,989,778,175,696,714,958,064,257,791,001,310,520,503,282,081,
626,975,061,770,213,397,254,439,717,149,770,386,346,001,340,806,958,800,703,
085,174,396,057,518,822,597,156,458,825,180,662,947,834,965,151,594,114,222,
632,105,634,601,928,015,856,002,583,239,196,462,910,525,978,424,635,045,107,
301,168,731,235,466,502,306,475,465,034,896,556,019,660,616,052,463,778,012,
637,277,600,637,412,229,746,807,219,088,507,678,400,581,074,030,774,577,126,
727,768,298,370,607,510,482,201,695,410,820,605,973,492,403,885,827,215,693,
953,201,987,101,155,138,507,109,944,031,624,739,411,554,354,804,529,633,121,
515,235,358,057,662,023,227,578,293,374,066,428,574,199,662,704,357,219,178,
721,922,405,147,800,478,763,256,175,098,676,892,241,760,061,498,787,546,055,
059,702,940,963,075,431,452,948,192,643,445,349,475,942,941,725,253,790,679,
206,798,281,804,016,026,719,088,122,368,750,531,413,925,486,234,100,067,798,
257,565,002,252,593,583,808,622,731,793,593,327,678,246,530,520,543,938,743,
649,132,737,387,562,846,925,076,588,423,158,024,050,476,734,594,031,521,624,
000,860,206,030,954,744,566,023,322,116,803,816,270,925,683,505,193,545,354,
427,688,668,462,625,063,832,488,593,626,838,026,149,014,367,410,303,594,851,
907,953,175,499,619,253,320,340,911,780,426,224,864,242,183,188,582,720,348,
557,863,910,164,992,704,952,020,294,056,910,293,296,295,179,749,534,422,185,
952,009,534,082,131,283,154,687,409,370,204,754,843,924,344,586,426,245,718,
535,072,699,455,393,581,624,086,366,776,052,680,923,283,507,129,615,360,220,
543,751,598,319,231,289,168,337,480,757,877,308,769,026,682,368,151,901,835,
165,843,099,469,828,071,851,933,280,893,520,522,613,678,128,580,023,773,139,
181,678,461,153,010,739,501,000,297,946,653,539,951,644,449,342,997,885,400,
804,090,264,773,729,298,390,209,372,886,905,229,652,817,780,381,025,606,439,
035,804,040,133,458,634,800,305,086,165,611,286,790,197,487,865,636,925,635,
215,720,435,747,447,184,486,237,703,869,693,039,439,204,579,815,398,587,531,
687,233,058,551,993,339,647,943,758,893,706,068,581,907,925,774,458,855,790,
602,580,148,456,172,714,172,261,679,290,077,255,966,657,643,876,472,801,662,
767,054,987,268,034,516,919,112,794,742,614,194,734,062,133,768,501,896,996,
637,447,447,517,668,538,680,329,421,799,124,191,886,049,886,496,540,659,407,
910,307,321,760,626,700,902,391,405,809,022,487,003,791,093,570,866,314,933,
614,649,896,881,526,890,430,571,446,218,296,559,319,134,030,585,471,226,282,
946,060,405,544,114,104,196,383,374,529,616,713,970,852,116,227,163,586,286,
870,444,592,468,666,404,606,975,431,962,735,212,737,225,736,938,785,081,859,
014,512,357,272,069,713,569,746,690,855,584,536,439,295,028,877,133,506,801,
557,630,974,031,934,342,687,545,823,162,505,714,801,731,453,292,795,886,282,
912,520,814,717,368,874,218,304,289,206,717,887,509,292,166,406,848,959,310,
291,717,532,898,901,939,927,092,710,665,711,495,004,362,250,776,649,682,400,
802,492,174,832,516,454,650,517,735,268,516,243,867,531,865,653,913,626,634,
565,392,892,889,197,410,552,374,187,572,535,317,118,091,874,156,097,018,201,
213,750,050,761,351,356,602,326,370,553,964,422,182,849,276,512,990,695,166,
844,277,979,813,373,066,746,953,070,278,387,137,381,094,008,292,356,522,713,
641,169,658,835,172,483,936,622,944,946,579,561,591,691,136,904,764,663,013,
355,124,148,133,310,623,131,386,242,134,915,444,300,403,550,054,062,327,789,
905,733,231,475,629,987,927,959,315,866,885,801,714,573,630,972,795,932,570,
967,273,830,938,057,709,315,102,933,149,446,734,158,640,826,986,571,476,630,
322,170,036,999,353,865,928,973,604,860,517,919,249,498,286,800,032,516,808,
391,328,478,376,598,859,124,810,296,545,907,774,644,634,911,919,777,697,572,
201,592,833,732,435,433,765,643,264,446,467,190,219,678,007,457,791,836,119,
720,251,716,725,120,511,581,308,445,540,784,013,415,700,546,070,147,289,787,
078,460,931,069,147,097,655,885,319,938,569,094,015,571,137,701,784,154,702,
351,409,255,138,389,714,985,072,328,890,575,557,135,398,819,377,368,180,508,
726,626,635,483,562,317,918,314,210,935,038,630,657,889,533,875,825,602,384,
988,136,485,997,782,247,776,789,137,431,363,276,674,645,155,609,947,267,571,
149,091,376,349,901,031,756,353,319,160,930,174,774,462,357,043,596,408,787,
098,976,193,329,542,988,033,411,293,750,859,902,462,526,280,648,372,661,089,
443,922,622,900,865,913,194,885,380,186,851,541,538,448,043,939,320,494,019,
603,125,863,514,508,100,182,774,672,296,226,499,450,019,967,822,803,767,493,
246,010,966,865,052,671,297,768,764,069,022,603,811,298,967,315,108,903,510,
018,649,122,174,660,359,109,440,558,857,487,291,444,446,845,799,400,331,839,
307,145,884,514,134,178,784,633,245,001,488,560,888,036,971,493,299,029,301,
211,018,966,550,583,464,475,994,335,254,620,972,923,158,965,515,089,665,642,
771,153,123,516,650,176,387,557,375,081,578,690,620,380,551,854,961,561,559,
135,630,116,595,077,980,115,179,229,353,182,086,673,564,867,562,270,679,991,
629,270,429,861,224,707,642,058,236,772,195,968,766,636,154,029,917,244,160,
747,866,815,276,589,810,700,600,381,483,609,454,843,429,351,955,286,997,548,
356,923,545,699,379,678,800,635,561,126,357,216,487,176,083,201,401,392,838,
523,026,767,870,401,746,765,795,584,284,939,249,695,713,733,356,976,211,084,
809,931,097,025,710,402,231,942,613,561,298,446,756,939,223,946,451,920,277,
963,531,421,986,890,191,726,848,226,950,223,260,088,305,922,286,300,182,534,
720,193,698,607,265,481,433,023,987,910,281,282,105,327,382,997,054,307,556,
262,482,707,765,316,460,049,779,886,036,421,855,159,458,607,238,080,520,162,
979,252,218,276,370,008,173,852,380,795,869,773,336,332,957,980,366,800,757,
602,219,144,386,308,477,857,794,105,331,102,574,413,040,889,243,596,750,608,
598,021,495,610,560,926,391,951,388,723,085,351,082,614,730,375,495,418,826,
381,564,963,107,824,104,983,909,219,095,635,105,281,746,648,785,403,098,650,
369,520,899,897,491,275,665,648,399,268,329,094,112,650,541,688,976,971,792,
530,518,297,119,464,534,725,334,271,840,295,992,033,114,459,857,430,657,425,
751,857,518,422,926,801,266,814,708,929,345,689,194,047,613,367,891,911,611,
159,676,434,214,501,143,833,453,467,845,708,510,047,227,689,721,732,157,804,
083,380,306,189,800,741,354,969,270,610,067,309,797,928,353,337,256,324,404,
495,484,390,995,807,635,155,044,715,339,294,375,968,195,858,218,425,131,248,
089,102,709,630,689,341,742,129,953,552,825,154,034,932,463,166,354,852,142,
984,312,393,857,038,142,174,426,688,416,760,781,357,232,843,584,650,038,609,
004,545,773,039,828,382,593,000,691,909,744,748,324,232,815,737,260,422,353,
643,737,361,144,849,740,081,699,833,879,708,574,580,698,452,309,320,973,981,
928,586,785,892,718,881,586,325,257,642,760,417,336,432,823,732,528,371,395,
113,216,198,417,168,443,355,528,108,497,459,517,161,890,035,751,732,136,872,
171,496,401,195,458,152,044,165,333,765,770,258,382,845,828,047,863,380,389,
955,435,293,761,970,107,404,270,513,088,106,378,388,087,757,426,442,332,617,
795,916,948,440,602,035,561,080,474,680,737,244,893,032,371,974,170,514,353,
202,131,503,557,931,666,132,042,421,672,754,954,934,548,796,374,426,599,499,
728,272,172,832,710,635,061,566,358,454,424,296,561,297,825,186,336,963,442,
671,837,106,224,976,231,298,926,832,135,787,191,916,450,878,335,373,942,430,
089,063,389,543,508,963,276,650,331,096,155,251,953,450,566,455,050,637,124,
775,991,210,561,162,177,861,014,375,751,944,795,190,476,646,528,962,866,241,
386,467,437,679,195,814,240,610,248,562,208,241,017,939,343,065,908,733,258,
134,140,263,745,664,661,991,021,628,298,444,312,005,029,437,198,698,275,933,
887,347,948,168,601,892,254,403,046,635,636,488,931,649,679,690,957,255,197,
837,994,572,987,452,184,912,471,558,829,782,813,813,346,993,642,319,230,055,
647,539,821,267,257,762,827,053,642,465,706,984,146,975,186,084,626,222,328,
491,805,311,922,413,897,323,648,991,530,780,294,033,462,127,808,493,010,347,
640,633,514,030,699,019,193,607,998,227,612,681,101,275,038,388,081,399,624,
997,703,379,246,290,464,656,139,611,109,058,097,674,845,324,930,464,506,667,
087,066,205,579,662,565,819,694,492,272,280,725,930,496,809,942,130,159,924,
472,157,567,493,051,848,984,627,768,283,012,925,270,008,106,217,627,356,069,
662,801,278,231,734,547,813,218,725,861,024,629,555,101,300,580,452,432,620,
019,250,546,909,251,017,229,206,127,669,416,092,500,551,396,954,233,041,161,
013,745,958,302,620,818,183,606,248,091,953,781,706,971,178,414,420,271,928,
007,042,408,637,661,469,748,201,206,751,346,867,821,438,279,081,811,959,687,
961,204,602,243,540,517,891,383,998,529,652,298,835,072,709,193,016,205,347,
666,947,717,274,319,573,957,751,549,984,934,967,778,644,606,497,557,614,299,
333,083,533,917,899,663,577,165,411,429,232,764,535,137,051,205,098,152,328,
890,735,481,049,960,646,948,797,019,204,195,580,998,167,626,913,048,302,492,
309,679,111,130,185,088,776,196,998,168,828,914,208,768,798,942,588,046,033,
500,112,574,965,144,775,450,143,063,128,103,074,999,135,617,609,915,688,300,
075,556,764,563,635,700,308,733,223,344,841,899,657,436,753,116,214,725,423,
117,186,912,792,213,256,108,140,043,790,805,306,299,972,738,720,961,543,451,
986,741,274,825,820,193,727,990,070,803,580,022,760,742,931,564,291,919,021,
322,553,232,081,941,110,088,667,995,326,747,611,488,443,588,175,805,001,168,
657,668,674,562,543,393,240,694,289,140,371,879,834,215,742,888,037,534,079,
248,210,458,625,251,234,816,096,898,384,276,225,936,322,933,032,393,178,118,
083,436,760,409,771,033,755,548,524,378,017,872,982,476,511,872,399,377,571,
237,361,787,435,725,975,276,549,824,878,692,013,676,267,493,591,696,034,886,
359,146,024,203,423,799,691,724,051,786,014,921,245,447,612,970,994,281,571,
559,961,984,915,331,311,820,942,026,147,836,692,780,325,192,600,157,234,567,
140,760,460,026,711,670,001,182,751,231,906,361,331,175,916,050,736,919,872,
188,277,847,407,744,733,435,703,338,427,164,321,578,728,833,455,985,709,721,
066,507,138,545,151,342,327,173,860,618,342,704,415,409,453,326,284,572,340,
939,820,124,224,441,677,364,871,640,519,318,626,254,885,655,815,340,018,801,
443,930,762,461,149,130,802,726,081,227,342,023,401,918,660,546,144,634,427,
977,661,732,323,700,501,237,999,397,577,003,743,975,114,408,490,482,889,619,
209,798,439,548,723,069,528,475,544,278,232,083,584,268,813,896,923,373,604,
278,199,512,517,958,310,818,469,048,066,538,894,221,638,119,483,819,886,032,
871,160,359,736,452,102,798,285,902,885,141,611,514,105,797,080,503,047,227,
290,438,434,037,384,097,485,759,089,403,381,558,499,561,197,995,962,956,953,
613,817,300,247,323,736,182,261,845,524,806,545,124,569,657,364,338,119,339,
321,131,087,901,982,869,148,684,570,401,824,241,020,351,259,339,323,766,806,
825,799,314,166,389,811,051,276,932,232,613,294,340,683,517,091,549,746,724,
004,673,018,783,882,406,386,211,830,996,296,465,591,841,160,587,332,336,904,
489,614,902,287,497,497,953,407,820,300,049,110,276,443,561,807,580,825,630,
676,283,340,279,003,105,215,103,194,708,126,597,474,365,742,662,325,124,996,
068,859,793,041,135,658,053,125,076,683,043,253,738,220,780,519,703,825,543,
425,465,771,632,251,476,787,372,122,060,617,818,296,902,775,590,393,699,692,
608,865,843,253,953,969,031,800,321,655,000,723,238,420,782,561,321,664,393,
119,161,035,661,729,036,922,653,522,268,755,906,745,047,177,675,813,388,455,
771,344,808,135,496,121,204,259,110,308,319,689,263,793,341,937,035,887,729,
415,540,343,850,160,587,376,697,217,745,081,444,371,297,791,602,689,091,264,
333,745,708,135,405,058,742,501,973,777,097,250,244,128,022,328,347,288,090,
593,317,381,542,834,566,145,478,188,584,508,123,424,140,812,439,907,772,248,
397,150,835,089,117,969,171,323,008,806,182,898,540,344,110,387,726,184,067,
309,544,055,363,552,886,728,840,280,344,343,559,370,761,417,552,594,263,877,
105,578,933,929,089,129,287,159,056,097,368,938,277,287,387,434,222,392,368,
810,393,845,185,497,849,111,063,377,791,087,425,205,426,017,950,392,469,672,
121,970,687,673,271,616,945,098,450,879,560,501,914,899,657,729,625,491,616,
689,383,380,806,540,550,173,686,617,248,675,293,525,392,512,881,629,803,919,
266,243,285,503,205,267,557,334,045,246,673,826,484,046,982,796,758,813,239,
114,188,296,697,325,297,607,254,274,158,527,606,529,717,765,992,001,760,352,
773,567,411,304,511,752,071,900,245,547,981,239,953,605,200,183,618,349,895,
836,470,527,788,707,608,110,326,478,227,415,150,427,550,708,826,778,788,087,
500,427,953,945,188,769,595,061,525,189,696,015,563,412,454,186,645,944,512,
921,399,550,381,226,478,325,308,273,695,959,171,034,902,196,535,582,624,720,
624,258,378,214,137,403,400,325,565,790,432,967,367,833,766,674,294,257,298,
288,212,213,000,721,348,991,376,489,867,101,490,382,688,765,397,314,012,746,
788,669,939,658,649,733,830,796,130,063,778,260,638,859,985,293,712,665,067,
888,054,806,995,595,062,005,124,681,017,937,952,619,883,248,295,157,627,294,
288,977,192,940,682,858,562,092,341,348,733,078,134,106,078,611,122,948,590,
396,852,512,603,158,783,887,963,727,502,952,231,453,646,913,763,751,089,980,
709,245,783,637,375,009,527,962,730,116,904,195,340,612,655,631,193,243,504,
045,425,073,030,854,980,269,937,733,515,591,454,441,945,859,821,111,267,600,
611,339,377,771,665,836,883,995,233,771,986,403,369,878,910,257,366,924,590,
364,283,696,975,008,700,556,954,378,216,249,593,432,323,913,433,957,386,760,
649,798,329,751,186,610,637,778,355,645,437,538,080,175,403,440,234,640,256,
554,495,522,357,859,123,676,957,698,154,787,522,697,839,008,419,697,194,159,
419,019,356,002,280,939,694,895,442,756,004,165,923,065,889,524,141,968,455,
692,075,635,946,554,704,413,286,850,940,263,096,651,026,744,149,992,572,626,
186,262,986,645,938,332,048,808,206,999,034,663,133,538,997,171,054,194,899,
421,108,545,301,567,251,803,929,469,482,705,303,826,252,226,574,043,137,400,
855,803,074,591,241,732,079,686,217,373,785,800,341,937,545,971,949,070,405,
558,457,203,045,028,114,485,058,341,456,582,559,803,078,655,828,192,667,530,
559,584,970,240,479,343,600,515,763,344,605,487,441,810,460,268,852,134,088,
482,148,475,098,337,998,484,518,194,634,627,010,005,281,070,117,936,579,148,
876,156,898,451,571,760,820,733,075,791,917,645,626,759,773,392,762,534,466,
769,562,946,874,375,439,246,145,515,448,936,318,990,702,858,659,116,101,688,
891,781,375,679,959,975,242,331,409,696,742,151,163,860,497,645,517,582,202,
903,186,926,665,354,517,738,785,985,089,950,587,025,311,594,690,401,912,571,
631,974,628,328,149,248,704,858,049,217,794,503,723,810,489,885,268,092,673,
311,376,565,854,982,459,698,026,898,291,782,247,101,073,132,405,926,386,878,
828,635,723,084,504,200,520,672,340,818,855,899,577,503,011,990,486,621,062,
571,211,417,965,695,104,118,274,956,750,960,590,823,921,199,572,907,019,388,
865,751,374,891,136,745,253,090,695,929,245,242,675,021,968,587,085,066,939,
297,619,379,887,907,940,151,265,040,226,202,179,206,974,513,909,124,449,336,
557,971,320,973,674,042,881,717,890,636,010,995,486,386,313,559,713,214,428,
966,224,067,716,354,604,333,436,455,389,154,258,596,309,726,778,869,213,586,
019,645,746,130,679,223,826,635,395,987,396,071,788,904,933,253,956,141,286,
191,552,308,268,643,830,601,442,013,078,689,224,145,622,894,694,281,638,176,
042,177,406,253,893,130,048,529,158,821,492,168,832,731,087,632,355,423,482,
578,626,138,248,198,866,590,748,401,145,425,690,992,017,334,450,231,543,530,
649,445,816,469,130,988,134,703,933,938,052,533,850,586,573,019,482,426,761,
102,505,801,721,241,003,980,076,978,010,043,016,671,098,031,543,292,648,625,
679,488,569,264,261,879,976,564,390,253,163,286,986,238,463,834,171,873,374,
466,201,062,179,775,133,869,882,025,702,292,607,279,459,031,630,528,180,653,
147,060,011,300,091,636,922,072,263,859,478,611,756,350,850,583,617,307,813,
771,764,760,553,375,240,339,012,961,444,748,450,615,772,124,835,016,463,203,
250,086,436,647,201,327,622,311,131,732,063,103,253,950,835,766,325,294,186,
866,335,134,860,473,662,821,361,534,458,074,130,736,302,865,811,665,264,890,
093,604,013,521,248,175,847,455,085,612,555,385,474,896,374,451,084,171,443,
699,457,836,450,590,063,282,110,602,636,580,406,781,524,836,697,000,497,596,
355,777,346,801,017,510,551,830,068,477,476,110,505,377,595,892,684,907,176,
189,997,717,826,904,770,124,207,629,781,689,797,671,352,714,607,602,950,516,
045,279,190,023,241,513,367,826,574,646,008,994,220,940,849,707,170,324,057,
143,675,513,093,209,850,863,737,504,968,191,822,040,672,427,279,367,905,505,
462,637,580,226,212,857,243,111,769,169,360,187,971,437,622,471,565,484,832,
311,699,790,040,013,706,275,510,120,086,516,499,386,277,199,918,436,213,096,
140,906,565,864,701,066,822,495,402,032,133,392,810,503,438,344,505,825,121,
706,451,076,668,844,791,452,722,951,133,388,129,928,183,524,151,961,414,281,
209,426,084,355,728,689,780,307,506,972,219,797,393,447,640,291,199,852,276,
455,228,290,718,086,286,095,049,140,682,226,666,195,945,342,173,281,530,132,
263,195,769,044,894,098,597,763,714,737,393,586,572,578,895,437,871,805,975,
392,208,373,919,986,242,155,491,683,946,274,606,252,731,777,339,813,476,916,
796,369,341,632,003,282,846,941,576,153,733,168,275,659,502,679,086,802,890,
139,040,762,050,123,131,727,157,941,027,093,101,935,791,347,165,010,225,694,
509,356,187,378,559,403,180,423,405,751,107,467,578,562,472,265,934,990,055,
929,061,763,045,939,925,542,943,837,115,594,511,158,227,620,660,441,565,827,
681,060,494,487,102,279,453,180,612,105,493,666,639,086,696,485,591,419,709,
156,840,288,567,957,755,407,589,722,281,631,312,402,006,154,594,412,524,074,
522,346,511,368,179,936,571,140,405,459,852,430,644,184,278,478,613,195,370,
459,550,718,080,005,659,814,153,979,891,842,909,951,683,088,205,191,242,343,
805,650,116,786,494,482,297,508,233,075,822,539,766,668,583,385,512,400,521,
839,330,673,618,037,479,041,247,354,933,650,632,543,991,190,938,013,725,430,
744,408,619,816,614,179,155,195,329,686,746,926,413,167,693,598,029,755,333,
006,383,924,553,885,272,640,745,290,030,540,736,687,979,242,088,786,295,272,
231,150,069,331,288,669,778,899,011,843,440,664,457,761,228,094,038,914,512,
763,438,960,461,186,734,988,591,028,862,580,046,005,449,687,419,302,292,918,
112,310,941,885,131,492,193,787,270,484,443,530,623,319,592,825,747,944,395,
591,134,797,672,253,889,996,212,706,903,575,365,035,316,257,962,922,938,204,
040,222,706,354,469,174,792,179,806,092,089,919,576,138,828,519,587,848,667,
201,475,778,621,378,184,579,894,616,172,133,844,609,356,062,157,387,365,648,
339,100,700,900,967,079,004,075,835,113,410,210,372,197,999,778,234,716,704,
301,613,419,176,397,500,190,525,174,855,048,338,512,290,591,944,737,994,032,
773,273,411,367,867,704,510,779,261,165,647,248,293,079,392,342,124,082,058,
344,349,158,368,978,881,171,420,609,625,413,918,476,923,748,965,187,610,228,
992,126,580,268,431,175,329,092,554,144,831,594,405,984,622,065,727,313,949,
256,469,457,920,195,979,736,547,044,931,132,053,940,003,407,932,214,110,164,
544,283,515,259,922,317,893,250,010,011,402,296,653,836,165,186,120,940,894,
561,314,506,779,475,157,084,664,447,303,228,706,152,393,680,429,670,934,258,
071,468,854,667,958,180,565,578,166,919,424,301,373,292,111,391,709,666,009,
647,355,413,373,197,519,353,501,775,043,654,468,128,513,457,391,287,612,229,
509,862,097,942,334,420,401,665,880,801,436,920,014,395,369,928,444,589,872,
661,443,268,384,992,319,424,258,657,141,055,277,411,143,819,168,112,968,964,
658,874,673,200,119,831,013,486,180,056,031,611,852,595,168,368,016,782,030,
309,835,182,614,895,141,765,476,162,044,593,696,429,883,929,359,751,465,905,
773,303,683,614,290,112,347,410,669,115,960,685,960,323,884,631,690,658,136,
950,206,349,807,761,150,953,323,037,678,837,970,333,434,888,095,260,336,072,
225,412,514,476,285,479,456,394,314,293,908,198,590,996,649,345,189,587,120,
411,172,193,705,303,356,745,300,724,423,641,779,866,082,486,890,916,392,387,
877,019,950,077,683,500,634,552,301,541,460,241,290,384,946,694,838,948,246,
574,050,004,678,108,053,411,616,890,466,963,927,875,643,736,379,146,370,295,
653,915,349,754,589,665,169,349,867,351,868,487,419,904,887,448,382,256,692,
371,784,121,739,507,883,462,948,605,070,847,854,528,611,445,550,070,965,933,
752,660,169,051,563,863,547,269,115,517,190,718,533,013,560,761,325,890,694,
967,003,749,356,788,075,190,462,366,274,641,806,489,246,224,878,318,146,809,
525,958,248,584,944,138,619,388,305,351,189,735,293,991,228,910,554,133,821,
648,626,460,243,255,896,847,195,013,777,319,294,872,414,370,685,445,808,836,
792,767,426,361,577,362,240,897,121,736,692,890,419,460,791,392,209,053,350,
964,592,721,932,088,472,356,269,037,696,192,103,025,527,916,466,600,478,366,
808,908,080,411,766,342,685,588,411,904,336,793,696,422,186,380,637,584,791,
369,547,040,848,306,166,233,088,558,814,178,431,571,337,766,650,362,194,673,
444,963,839,434,943,884,685,120,703,473,638,474,848,125,295,643,649,198,715,
337,247,387,823,800,814,931,557,672,181,437,275,227,394,521,059,714,376,036,
463,657,695,250,590,394,157,981,245,083,399,818,711,007,439,183,131,765,783,
079,373,944,219,228,491,349,991,278,151,696,283,221,720,927,430,461,349,740,
419,790,097,086,916,008,544,040,292,376,186,388,259,154,425,871,483,243,547,
669,727,607,397,579,654,623,291,859,750,563,362,700,818,582,945,532,780,076,
900,840,247,476,820,684,602,066,073,133,355,059,171,040,763,884,058,300,534,
390,692,299,538,792,940,598,252,558,177,004,824,710,251,701,957,313,984,692,
435,987,479,255,239,847,705,172,901,666,520,506,101,921,809,757,806,452,037,
712,879,983,532,959,714,886,298,680,946,281,331,933,228,485,421,773,703,011,
144,405,166,628,768,354,207,451,115,541,179,351,480,314,581,482,794,113,374,
366,399,817,467,316,013,138,977,558,756,412,389,000,441,279,368,453,136,442,
289,197,469,093,416,288,786,544,156,328,113,554,902,211,730,236,434,926,103,
638,743,740,677,638,118,111,985,773,317,346,025,743,564,139,575,127,007,125,
577,399,350,019,586,921,353,190,204,685,196,310,514,313,111,768,459,515,361,
069,828,117,969,116,544,370,005,927,196,176,171,013,955,555,517,959,964,789,
775,049,605,426,367,762,878,165,704,688,580,527,641,611,657,872,688,245,214,
327,912,278,001,801,322,198,058,175,518,024,826,206,070,278,590,797,152,241,
329,714,706,014,615,873,033,237,046,392,849,049,673,191,752,421,576,565,915,
041,316,174,094,395,882,843,806,356,609,810,010,157,216,209,678,378,406,408,
955,338,221,769,934,665,436,018,749,805,858,061,611,027,096,534,545,428,867,
581,647,318,233,445,409,895,690,627,213,039,971,656,825,793,894,121,254,234,
891,301,834,408,168,653,808,450,694,386,735,912,561,732,310,825,739,335,759,
675,544,777,414,018,605,167,503,621,607,828,539,500,548,415,955,127,349,114,
360,070,770,993,918,474,772,715,602,269,091,568,246,212,861,423,598,065,889,
228,557,789,866,067,834,198,105,449,547,723,133,484,926,909,778,019,262,107,
672,227,749,621,442,674,484,329,775,893,519,120,010,779,928,171,320,293,424,
075,496,566,735,362,778,759,309,780,947,214,573,367,170,810,433,962,158,669,
691,258,133,568,767,942,539,712,854,635,807,450,377,553,230,830,051,537,383,
818,614,670,228,072,192,060,717,132,296,153,195,891,203,309,826,465,703,896,
533,294,502,261,448,329,974,280,252,904,239,898,500,035,304,457,258,756,788,
452,598,924,548,801,735,843,917,301,118,183,744,668,770,237,762,472,836,752,
169,768,392,555,102,546,693,959,047,450,673,144,159,015,617,675,953,808,684,
205,239,284,624,611,718,776,825,378,376,920,743,816,932,761,409,374,347,556,
752,069,974,963,563,240,273,544,559,747,676,162,490,148,540,009,627,420,564,
267,077,295,028,338,456,274,549,179,777,636,823,234,741,368,615,898,512,970,
120,992,998,113,660,870,203,558,203,830,212,047,854,364,339,518,208,709,498,
088,825,730,327,243,195,757,551,442,499,122,753,560,481,024,603,776,309,927,
708,496,702,735,095,357,357,761,530,026,072,189,973,206,417,648,660,793,909,
273,632,253,246,153,735,148,679,830,724,273,645,307,034,569,652,097,380,435,
000,420,758,967,841,746,890,180,005,850,943,577,185,839,666,972,343,588,693,
831,585,108,196,181,851,816,806,825,571,657,330,338,894,883,874,663,553,334,
390,707,184,168,822,485,214,839,555,588,221,490,817,974,475,839,950,074,722,
474,893,988,941,940,161,252,202,126,334,861,897,519,997,098,366,876,397,193,
267,368,537,715,044,432,459,662,259,864,596,448,982,716,975,816,215,233,669,
336,533,233,372,608,532,920,320,106,338,326,863,634,408,728,649,903,885,058,
743,433,764,050,100,872,485,358,555,947,754,466,306,311,005,077,013,030,155,
214,638,756,542,922,382,523,083,112,106,237,060,158,437,690,378,923,911,677,
209,491,014,630,854,856,446,016,342,822,694,851,475,779,956,010,272,825,726,
944,929,872,230,764,701,333,801,067,408,942,694,344,942,103,184,013,037,630,
506,999,311,058,489,652,315,971,457,348,260,991,548,130,139,715,320,630,796,
441,701,258,786,442,751,831,592,627,996,937,364,211,984,196,338,440,908,698,
002,203,677,147,473,310,262,822,778,128,837,552,854,030,893,524,707,340,088,
917,783,212,695,932,755,182,010,803,277,382,348,946,596,812,900,804,307,888,
465,665,863,515,092,281,618,477,282,005,294,652,632,187,280,197,771,784,508,
852,122,460,396,089,805,169,218,621,025,266,669,158,458,288,884,736,073,526,
844,540,840,202,875,061,375,205,822,702,002,114,471,032,770,024,226,370,463,
094,876,866,713,485,188,299,114,003,802,781,980,506,943,584,714,700,453,760,
508,422,949,658,056,290,735,773,854,727,324,366,329,988,380,226,671,231,101,
832,128,051,512,990,586,291,903,741,070,683,165,341,291,081,691,421,444,419,
268,546,774,659,710,356,114,603,592,734,537,711,022,909,650,772,422,724,020,
586,108,113,458,690,922,401,825,464,508,380,169,246,503,913,212,459,188,539,
630,359,603,523,941,290,032,636,775,822,709,880,026,415,788,669,429,949,220,
394,937,339,007,159,615,212,350,461,992,062,115,559,059,796,419,023,659,808,
630,733,805,514,221,596,826,444,109,352,883,214,641,093,031,182,205,606,346,
682,778,403,837,297,923,393,156,783,492,375,804,213,854,665,728,358,929,538,
340,647,143,981,847,655,038,097,166,531,097,597,844,300,483,777,072,579,375,
920,382,037,218,658,705,348,689,318,707,364,567,691,188,495,346,583,373,660,
490,044,644,954,367,413,525,346,978,595,528,736,418,075,983,809,022,218,085,
152,105,837,929,987,928,119,228,216,018,581,238,585,414,108,495,769,975,696,
898,212,605,456,400,287,710,712,912,193,525,712,093,946,911,028,550,333,911,
715,621,422,937,105,783,595,840,635,152,870,524,662,053,532,406,553,788,955,
293,337,241,794,918,468,396,358,083,177,251,270,236,335,139,577,376,752,062,
683,245,647,238,961,196,411,345,840,774,194,972,970,383,546,115,340,215,208,
414,542,242,132,224,710,300,912,344,780,693,472,366,708,799,730,646,775,124,
943,494,703,335,302,336,119,377,654,646,599,623,784,942,191,514,127,008,798,
106,446,978,569,990,373,288,209,325,669,358,052,611,907,626,783,715,665,980,
627,624,293,660,171,522,012,524,735,270,999,410,184,339,464,879,022,515,594,
555,256,092,559,518,436,278,183,378,159,079,504,938,662,018,409,504,512,952,
268,513,852,646,567,888,527,419,676,643,011,343,916,414,104,554,936,141,144,
472,131,817,296,880,930,324,096,760,132,232,413,889,115,501,090,367,487,346,
081,145,196,772,881,157,237,920,876,689,830,749,269,619,921,189,468,515,386,
264,519,012,846,882,484,579,414,073,358,636,166,193,732,368,537,615,426,687,
912,214,427,019,303,517,633,606,265,156,314,759,002,286,568,324,805,414,279,
693,946,196,526,673,680,107,749,923,984,496,041,535,640,098,153,930,156,387,
287,171,322,494,223,207,767,916,405,397,912,343,980,293,402,261,343,622,079,
698,553,177,664,545,780,828,388,891,762,437,050,291,575,848,878,405,324,700,
699,990,872,916,501,873,232,507,097,781,367,596,186,770,762,170,946,873,292,
888,629,679,972,613,402,177,360,128,078,367,429,558,063,244,464,338,323,728,
134,452,771,301,856,229,986,877,820,285,502,813,545,307,280,756,242,200,925,
789,196,226,008,626,437,394,514,223,591,526,675,958,421,301,451,138,618,793,
411,965,832,910,765,741,318,709,913,614,351,572,653,606,968,076,175,473,966,
340,996,139,070,289,963,878,378,991,686,411,895,176,656,095,382,730,782,873,
964,932,094,281,676,339,670,120,853,348,524,405,974,672,460,486,432,960,286,
744,208,750,143,448,382,032,422,467,573,436,541,579,406,801,069,709,160,795,
178,597,615,124,248,651,136,459,496,348,682,924,812,088,763,300,571,583,299,
781,905,148,137,868,254,716,268,865,920,863,696,095,194,756,988,351,210,918,
755,574,213,326,201,068,165,105,034,121,466,497,976,287,068,778,916,457,125,
099,786,385,148,794,620,861,444,868,303,263,340,044,730,348,335,187,581,932,
652,535,102,971,048,195,652,403,801,070,834,843,152,391,038,913,741,701,084,
227,694,411,034,739,974,616,039,849,635,328,664,270,466,073,635,187,825,782,
232,641,560,649,469,127,684,006,296,107,344,473,586,942,671,279,400,784,503,
239,942,308,360,544,389,110,463,173,391,132,426,279,934,446,457,109,480,887,
374,069,850,674,730,384,456,906,327,642,640,979,832,552,356,815,050,029,460,
962,707,473,746,243,659,141,547,374,724,722,332,969,695,951,393,719,096,184,
813,841,507,065,418,434,628,236,814,088,578,248,047,075,606,114,600,206,728,
017,062,808,365,685,425,859,723,414,410,771,069,478,131,326,184,404,533,724,
408,491,264,886,476,542,515,861,026,480,680,616,869,098,321,225,804,564,874,
211,509,161,999,511,307,125,311,810,245,344,763,143,885,733,620,937,023,754,
509,204,148,915,762,484,221,731,800,084,506,037,084,870,938,417,016,686,316,
398,190,084,496,679,354,494,814,395,523,172,422,839,281,433,680,173,017,705,
818,509,050,915,157,888,005,829,843,935,242,868,029,724,601,977,472,488,222,
977,639,381,268,366,206,003,164,660,004,747,527,093,999,759,329,259,192,535,
525,002,595,265,621,118,194,942,694,103,980,281,403,300,243,722,127,002,239,
592,321,346,142,973,533,340,848,507,542,292,263,522,164,608,694,125,112,935,
041,924,792,518,696,514,674,485,130,281,686,713,003,493,715,130,459,896,735,
392,615,806,018,994,593,568,721,055,554,181,360,377,546,248,242,487,423,938,
419,029,776,059,896,962,606,265,318,211,414,515,751,127,709,773,175,302,487,
816,916,374,619,688,992,174,672,825,049,817,379,980,983,454,994,408,779,299,
730,082,503,859,102,171,046,320,089,947,401,270,823,179,172,151,567,772,423,
026,616,205,194,068,057,347,499,968,733,895,648,605,255,016,175,472,196,898,
389,041,925,521,939,265,466,568,034,832,520,029,596,234,129,010,870,714,616,
785,553,822,672,479,065,020,154,511,283,022,750,849,092,510,881,601,011,596,
959,631,022,307,853,769,173,113,375,154,930,712,817,135,084,192,010,227,313,
163,570,907,413,992,217,794,086,787,452,893,643,843,654,509,940,244,413,908,
547,810,825,417,280,556,648,415,355,126,736,357,207,285,641,935,163,384,141,
887,935,885,308,235,416,682,610,918,799,207,629,411,356,086,292,416,599,010,
531,464,279,794,940,008,983,661,743,706,093,217,743,228,354,696,565,969,928,
716,256,860,030,817,699,678,761,774,197,311,141,588,862,439,416,135,556,478,
443,842,424,043,542,526,754,100,138,377,274,917,433,411,174,510,804,672,034,
780,686,321,488,666,833,302,535,389,901,180,687,974,557,801,155,804,933,530,
002,688,719,584,245,533,493,217,468,894,350,325,249,816,414,029,034,728,891,
734,826,378,005,117,791,693,611,712,691,748,241,617,526,109,665,075,846,631,
921,773,300,921,846,766,879,147,940,853,314,733,810,922,275,538,952,562,071,
111,469,278,423,847,211,970,686,185,418,527,760,671,367,578,257,500,560,682,
560,986,118,935,788,122,082,394,023,140,375,187,645,945,653,201,612,647,074,
809,321,494,587,511,044,161,253,984,823,127,144,794,572,649,526,366,563,840,
225,486,937,446,834,120,608,604,107,245,670,696,829,095,069,134,119,020,339,
660,048,977,934,214,725,334,383,470,662,670,581,535,583,036,505,855,016,924,
587,847,908,959,257,234,504,758,929,765,985,995,857,251,363,573,651,305,514,
713,912,136,446,884,555,166,757,854,343,290,405,244,344,084,513,397,090,599,
874,640,071,529,062,218,616,440,928,064,712,371,685,045,957,688,440,677,305,
345,740,998,627,620,256,018,934,196,868,473,464,351,218,484,927,127,796,532,
383,323,813,655,467,980,793,516,700,429,725,854,049,571,484,658,729,419,253,
032,117,999,570,295,169,409,896,527,323,035,488,507,292,595,670,483,134,822,
618,539,910,813,301,271,191,968,582,637,599,179,350,900,796,299,406,778,445,
352,814,967,644,965,024,560,528,228,829,356,358,216,226,258,894,968,778,605,
095,039,713,296,384,734,377,741,763,924,610,324,977,138,758,717,955,528,067,
036,712,551,793,278,801,164,024,046,197,274,503,756,129,551,701,703,181,520,
973,799,571,859,805,664,730,902,041,285,395,987,950,737,619,054,531,338,809,
586,022,238,320,478,589,778,427,329,586,047,330,320,358,037,451,631,290,544,
937,744,697,192,984,996,013,804,415,360,576,599,749,795,508,332,910,938,540,
464,298,890,915,872,297,407,314,431,957,416,458,476,532,763,138,128,600,811,
129,065,045,140,522,333,073,101,442,417,071,838,570,907,772,666,038,472,696,
831,778,779,341,153,141,383,148,655,280,872,109,959,394,758,938,490,831,687,
476,285,784,137,239,666,008,666,565,397,004,553,285,754,182,797,903,994,173,
689,736,058,813,257,265,258,202,004,895,926,179,258,922,345,434,309,916,984,
966,506,533,262,866,595,735,086,005,190,675,651,424,251,159,504,965,658,847,
518,416,388,378,127,505,129,467,376,977,048,290,352,862,851,847,698,126,612,
935,102,864,099,043,765,652,599,214,288,729,133,118,514,926,412,387,576,322,
639,273,578,508,931,891,524,235,087,439,675,367,002,391,023,409,407,784,230,
505,051,359,383,667,395,924,728,874,948,915,605,359,672,942,801,557,118,335,
383,183,906,633,406,103,776,229,720,065,104,255,106,476,912,480,626,237,278,
844,389,053,623,017,507,582,459,465,764,361,862,155,307,219,485,258,349,497,
751,863,823,981,430,536,077,247,938,683,309,909,271,284,798,952,607,023,663,
441,885,487,738,453,322,021,310,004,137,496,355,551,470,352,345,270,717,871,
569,251,039,756,293,481,825,429,975,186,301,482,776,100,334,512,463,962,381,
543,855,339,365,437,013,270,659,593,554,148,332,539,229,542,667,882,732,563,
843,086,324,777,840,229,275,175,072,879,062,303,068,009,164,396,594,791,980,
952,112,935,875,497,349,930,688,303,986,904,729,254,241,760,847,999,659,838,
780,527,747,771,047,536,456,600,214,703,066,202,557,656,041,564,247,934,480,
864,774,499,075,457,320,521,125,947,675,570,175,204,142,615,659,052,290,139,
133,279,260,911,051,722,090,758,799,434,661,151,115,985,258,015,293,930,634,
773,346,909,092,579,118,746,542,409,868,696,339,689,231,045,305,239,456,587,
282,286,365,060,245,819,762,155,249,792,086,127,793,198,880,543,382,374,202,
189,130,113,727,945,549,446,707,781,761,948,640,741,690,891,182,613,580,874,
312,076,035,818,773,876,911,122,184,285,304,088,837,141,682,038,830,118,465,
428,829,581,933,968,782,357,601,223,181,151,646,319,256,902,751,818,127,235,
852,250,125,118,691,836,222,772,335,629,974,960,948,806,742,809,545,929,857,
902,027,330,450,296,023,261,952,351,496,388,216,794,029,356,764,125,166,017,
671,877,385,126,633,638,347,306,163,305,465,731,715,249,956,121,148,050,618,
778,937,926,192,392,820,869,876,044,944,292,797,872,843,240,661,876,510,475,
421,873,704,810,938,599,214,616,377,403,060,563,174,957,184,633,672,981,047,
127,240,906,734,716,511,436,987,856,711,105,035,610,572,201,972,207,397,807,
662,818,195,048,091,813,845,825,009,456,629,461,949,643,912,846,007,707,726,
179,245,415,701,970,885,555,798,027,171,001,664,081,889,199,269,187,673,592,
383,728,710,098,754,209,046,382,791,883,670,476,160,903,222,553,784,249,400,
020,776,155,637,338,557,001,359,019,002,503,352,283,294,236,490,537,352,203,
924,270,513,530,200,663,647,541,930,922,311,005,981,520,196,926,663,738,593,
778,577,606,497,045,078,618,534,213,464,631,244,046,762,742,626,211,180,707,
247,012,787,653,806,229,635,787,676,817,370,795,755,490,735,747,031,235,450,
874,711,624,858,075,822,203,341,657,061,459,039,174,416,582,534,845,326,902,
056,920,370,873,592,988,626,829,899,985,204,134,899,121,043,854,874,022,642,
271,427,504,455,240,825,543,595,950,422,288,430,752,355,154,629,495,955,828,
310,248,923,756,670,825,966,744,446,746,736,626,081,423,386,480,315,052,084,
946,497,464,144,846,731,902,999,032,227,056,687,834,885,971,828,759,903,988,
866,825,041,420,891,544,414,375,751,917,409,521,339,498,617,161,728,463,454,
139,071,100,501,342,639,768,078,402,738,888,831,797,034,771,360,126,082,217,
751,431,689,954,319,559,557,010,125,014,428,483,851,720,359,724,756,529,794,
927,872,241,432,393,005,489,582,090,711,549,436,308,145,434,735,511,105,777,
421,303,426,548,032,528,618,608,249,721,603,668,871,977,908,630,770,053,723,
215,979,867,439,800,331,735,870,181,123,816,586,798,808,722,717,370,529,765,
521,077,324,383,494,047,765,445,881,371,779,123,372,272,310,270,339,518,825,
317,505,103,092,338,526,793,198,429,436,922,956,272,396,274,318,629,597,028,
200,171,847,312,314,554,815,846,819,978,416,876,683,457,912,344,216,693,892,
897,231,067,228,164,177,103,149,528,500,707,894,986,219,931,954,501,773,845,
539,691,459,044,109,544,723,338,001,658,924,711,259,275,268,057,280,786,119,
837,865,023,141,400,430,951,734,543,629,570,331,310,475,475,252,799,054,644,
077,613,132,779,710,692,371,555,054,539,766,873,759,458,718,940,620,201,627,
061,724,320,796,660,932,600,612,075,671,698,021,382,408,774,208,421,834,485,
277,501,033,291,348,086,545,801,424,162,922,505,436,582,947,148,151,378,097,
752,432,101,385,732,833,648,774,883,483,519,308,772,597,074,916,887,282,654,
721,235,755,949,605,806,770,253,347,694,451,928,011,616,892,393,805,382,390,
171,945,273,330,768,780,549,722,004,047,490,805,661,904,843,497,489,309,329,
270,382,924,952,304,286,861,218,642,993,919,469,757,485,940,181,785,015,835,
801,071,545,200,235,757,382,912,828,274,725,188,431,177,105,876,846,987,773,
977,475,509,789,709,682,367,080,843,267,335,784,938,672,535,832,611,624,812,
982,628,101,182,236,417,762,336,177,096,329,926,313,764,892,553,447,032,580,
683,723,475,545,028,299,741,064,261,475,077,382,964,387,668,533,362,955,874,
935,063,672,333,446,008,098,718,872,028,546,787,187,095,871,861,113,162,284,
777,711,057,900,703,930,486,098,686,172,951,843,547,315,604,539,027,364,162,
617,114,855,344,895,531,928,936,613,776,854,429,641,021,652,781,332,287,164,
246,741,845,194,083,376,446,087,557,209,019,171,581,436,206,072,883,590,398,
232,593,533,783,582,421,149,016,130,880,940,698,727,136,373,402,695,272,950,
347,557,402,124,888,121,342,926,410,949,122,566,313,821,773,233,530,090,531,
088,881,800,521,477,439,425,549,891,364,292,974,260,780,191,836,919,821,400,
061,899,089,307,419,011,889,469,226,999,971,378,932,572,898,490,150,409,613,
656,609,353,411,076,002,506,646,873,196,595,291,463,640,266,869,426,397,170,
095,598,552,525,948,514,371,610,590,451,284,464,142,835,871,456,987,834,017,
353,701,397,563,693,824,202,755,017,126,264,632,364,605,740,160,985,667,148,
711,817,489,273,329,409,590,022,330,645,523,335,561,325,476,148,137,453,521,
664,581,887,937,083,672,640,829,519,464,857,303,882,932,611,797,937,831,952,
861,663,306,802,548,505,576,954,278,970,657,803,670,928,117,210,788,588,097,
877,793,816,842,703,356,811,349,366,546,984,158,878,164,034,328,223,099,375,
540,015,910,843,116,297,867,287,009,926,734,293,554,263,090,988,318,249,143,
406,252,374,723,673,077,820,625,500,932,124,649,701,064,683,565,091,501,402,
506,637,081,006,353,213,919,395,745,369,966,362,141,346,799,181,859,527,952,
742,330,768,235,649,043,702,629,179,092,304,130,348,023,050,272,006,963,237,
964,041,321,605,833,178,034,758,558,539,582,332,580,053,396,922,895,798,325,
300,873,986,797,719,934,036,275,442,899,433,585,572,660,824,534,453,208,666,
312,467,107,580,057,628,913,232,160,272,596,125,673,796,564,229,404,823,357,
877,147,283,452,010,036,896,688,024,720,751,650,019,620,264,192,892,729,157,
410,196,045,582,459,611,297,143,245,394,916,170,830,753,340,945,100,014,477,
266,314,407,403,393,124,211,485,023,594,523,866,357,927,174,708,508,094,641,
453,230,940,441,915,440,524,889,166,125,955,521,884,085,190,838,051,118,482,
125,175,907,758,561,042,156,736,429,668,335,382,204,009,284,359,923,054,144,
959,287,353,412,284,707,098,105,249,642,451,764,030,720,579,082,961,663,999,
388,178,057,865,866,106,260,584,377,788,416,858,436,040,754,682,329,290,639,
521,852,299,007,041,970,444,294,066,138,466,752,614,986,587,109,340,821,402,
629,935,270,717,611,415,845,266,920,097,693,036,899,333,922,389,604,901,875,
301,422,941,492,833,378,833,834,705,600,612,027,441,510,449,802,885,275,498,
132,081,580,973,411,730,761,333,223,623,349,950,398,839,489,306,405,498,435,
128,880,536,399,644,196,254,220,762,850,508,192,093,807,366,305,412,824,076,
600,498,987,163,366,598,195,437,494,512,336,721,593,214,000,553,349,454,771,
965,830,510,272,123,673,092,668,815,738,866,643,141,545,818,863,488,293,865,
737,932,850,894,876,083,818,920,850,086,129,709,180,186,186,528,003,938,463,
949,115,904,276,753,889,568,950,501,092,212,081,258,447,756,781,532,932,082,
570,632,662,254,489,923,980,430,601,352,953,579,597,519,002,659,649,386,360,
465,147,892,224,098,458,998,672,003,462,520,696,736,085,908,686,519,780,836,
859,242,321,071,378,432,014,690,361,149,055,704,164,074,272,362,138,189,665,
995,144,109,739,520,122,044,918,402,534,263,999,362,076,684,981,922,774,417,
016,303,060,148,831,771,208,352,685,659,399,400,000,126,687,256,258,163,904,
207,869,678,476,440,634,059,787,167,505,011,605,529,849,911,278,506,785,807,
711,494,822,017,697,998,598,343,103,407,449,143,275,662,742,413,418,055,627,
174,934,913,260,674,712,450,200,596,546,482,323,054,032,733,372,429,673,668,
799,076,764,577,809,560,291,858,267,904,839,523,324,386,210,454,395,829,115,
549,454,586,739,538,010,403,304,002,727,734,280,355,809,028,616,272,932,184,
507,433,503,109,399,296,528,482,265,471,785,391,046,063,179,622,262,768,853,
320,653,247,268,582,393,203,724,320,010,115,861,114,693,314,682,054,128,524,
543,728,147,011,757,779,186,967,337,982,529,349,192,429,075,419,391,106,478,
322,215,124,350,954,074,200,070,529,225,702,672,987,302,855,757,530,445,935,
691,959,396,748,008,532,892,522,528,709,788,661,886,383,226,645,688,225,294,
794,645,613,604,797,838,609,966,072,855,861,243,843,558,175,213,396,787,292,
724,228,330,744,468,551,393,292,731,925,921,714,506,523,377,878,437,133,531,
419,048,331,095,530,473,147,377,135,869,983,824,636,504,553,893,727,332,911,
643,431,444,902,646,057,092,685,450,045,105,070,318,588,721,756,984,730,201,
068,802,714,758,542,165,969,089,380,603,419,371,293,494,356,515,770,771,653,
290,010,620,021,768,401,992,673,154,974,971,859,937,074,772,551,432,469,433,
498,019,881,613,637,190,213,168,779,158,561,567,772,611,053,565,600,013,794,
725,711,095,289,339,665,362,786,171,087,058,891,325,159,471,510,995,822,554,
888,957,365,423,329,851,901,035,034,404,411,592,006,595,021,046,967,215,120,
092,170,878,708,920,867,696,168,098,587,059,273,290,005,196,037,808,547,147,
395,282,629,343,280,892,513,214,613,385,563,424,367,279,726,219,093,717,869,
920,014,039,551,548,240,003,202,521,089,416,417,635,811,047,888,235,599,290,
444,506,246,664,157,525,942,078,862,303,612,757,207,875,537,184,765,581,632,
969,543,292,827,992,137,128,465,742,448,868,348,390,290,037,911,988,421,394,
448,634,968,443,560,132,808,400,615,006,125,923,211,053,371,096,477,906,070,
662,175,263,837,696,127,966,574,138,951,083,969,302,175,234,981,640,878,104,
109,884,632,767,315,390,024,582,603,898,229,548,570,691,656,464,847,063,216,
728,786,757,514,275,913,157,126,646,238,776,681,845,972,028,264,922,323,607,
121,232,136,117,678,135,366,711,340,523,530,449,972,707,666,113,048,037,076,
624,398,097,503,823,161,340,911,069,686,178,832,041,661,761,178,547,080,140,
774,295,753,057,697,271,165,622,625,474,984,190,704,792,070,162,633,289,597,
226,952,893,297,730,733,454,323,973,681,571,022,102,050,762,809,545,470,758,
884,050,504,701,186,696,372,847,717,634,416,287,803,731,184,785,933,518,424,
190,140,873,416,323,643,032,215,003,314,274,402,116,656,338,087,238,797,522,
276,318,766,830,363,767,564,589,682,092,008,634,300,831,915,917,554,429,221,
581,901,278,640,740,434,367,620,787,247,133,431,159,527,629,591,217,464,774,
786,324,056,588,917,742,688,642,194,152,703,206,021,783,190,283,588,461,495,
189,603,254,788,153,261,198,316,558,978,438,540,288,759,975,044,668,876,395,
057,261,996,387,704,539,289,930,155,909,937,029,377,967,756,525,875,905,638,
261,992,529,434,117,316,960,934,076,583,832,138,949,735,800,927,972,939,790,
914,283,001,719,339,457,978,520,697,392,306,934,223,685,941,395,717,927,804,
269,776,703,036,676,246,740,517,544,881,180,937,707,751,894,003,917,321,726,
809,194,485,036,098,143,263,632,477,179,989,512,726,018,626,677,830,814,424,
313,143,219,687,389,710,044,320,756,826,226,718,149,041,826,355,069,246,616,
353,805,324,179,229,875,874,661,696,766,331,038,230,155,083,368,647,071,710,
825,701,860,659,707,717,403,265,549,692,077,640,990,372,900,471,075,575,404,
540,882,162,368,579,155,986,877,494,102,254,884,439,280,761,431,488,071,588,
063,374,486,499,279,862,410,905,651,946,684,085,969,572,780,249,186,420,067,
905,005,049,691,796,494,152,850,247,136,465,745,324,609,348,699,329,752,856,
259,274,971,382,800,269,301,554,819,919,351,960,398,640,713,946,198,265,450,
634,868,686,349,212,640,120,511,293,574,894,043,320,572,282,565,088,236,219,
751,873,640,909,270,684,717,034,202,916,315,781,283,385,760,233,785,294,224,
140,770,862,378,272,310,475,832,913,664,869,832,670,274,030,268,772,161,932,
594,231,086,482,833,899,007,951,714,150,890,826,080,261,898,407,306,115,219,
628,318,807,815,108,732,971,124,556,665,829,245,225,095,365,001,845,373,134,
774,489,305,201,394,741,411,556,296,359,603,757,063,331,572,866,421,249,795,
950,877,923,426,697,409,201,636,757,647,008,961,412,521,755,466,153,366,279,
815,953,081,882,743,143,159,539,483,156,072,242,551,586,409,993,041,724,858,
974,297,091,165,855,756,508,308,159,118,433,505,635,397,817,135,638,675,738,
609,842,599,862,187,317,982,712,880,167,865,608,774,792,530,846,898,912,500,
389,615,050,459,123,008,080,625,702,790,390,523,039,835,400,857,721,652,604,
088,432,621,727,230,094,148,936,400,269,057,267,241,292,617,299,728,775,995,
255,578,650,978,420,069,933,886,556,946,536,222,597,350,585,454,529,180,730,
397,233,993,290,905,507,153,130,092,559,152,556,771,491,648,629,391,471,112,
457,603,887,119,682,987,962,399,486,178,465,675,202,130,302,554,894,007,547,
977,512,610,145,865,297,956,150,500,523,241,926,580,289,263,846,129,501,343,
611,021,539,851,723,135,680,427,105,197,000,169,186,583,350,002,621,681,869,
644,425,540,620,307,369,088,186,525,560,941,003,588,381,128,863,744,736,284,
664,744,963,657,459,834,822,644,096,437,622,845,648,041,283,277,160,999,907,
045,657,003,874,818,484,764,278,910,021,698,111,147,232,639,665,808,797,721,
530,711,526,773,387,638,847,357,486,464,459,497,112,502,306,315,499,119,933,
973,834,846,195,141,952,304,375,100,781,448,211,471,045,138,744,960,819,257,
497,728,974,297,763,976,192,205,631,372,059,918,084,500,083,010,351,368,295,
166,416,927,899,829,580,460,832,068,211,416,255,068,891,408,960,771,622,292,
345,283,463,041,337,814,161,671,887,058,000,246,219,690,419,255,033,398,629,
192,729,497,442,708,704,242,134,839,113,329,276,896,334,109,347,202,046,121,
303,994,149,077,862,988,592,828,159,722,931,803,457,065,358,971,469,760,293,
553,413,497,672,870,018,900,264,070,122,900,643,485,054,132,552,006,774,158,
944,692,463,191,874,039,278,689,251,029,553,483,003,393,597,655,965,227,990,
959,555,566,325,571,009,134,197,160,709,559,185,799,398,057,632,670,095,425,
737,320,874,660,140,462,387,079,769,933,401,735,995,216,203,806,045,548,130,
231,101,835,022,940,530,325,787,362,327,861,153,652,414,421,841,892,817,185,
454,173,264,917,950,762,830,662,076,883,696,066,261,586,522,765,354,632,959,
072,805,457,090,116,029,553,165,502,071,175,385,275,479,344,781,967,780,803,
450,542,155,137,621,788,798,935,184,344,040,477,896,431,604,709,080,911,697,
813,309,460,716,098,056,611,987,128,757,167,988,575,323,169,565,151,190,271,
326,034,117,007,515,496,143,856,542,422,167,749,036,513,949,771,667,679,077,
589,564,258,868,081,566,384,650,535,876,352,094,413,509,579,216,531,842,293,
781,015,449,153,148,250,942,031,486,666,428,617,121,730,647,921,605,721,046,
128,727,556,269,476,795,772,889,791,165,332,329,567,684,964,459,846,821,862,
279,435,525,978,613,223,677,201,734,284,424,297,675,489,743,017,095,186,592,
819,863,946,748,107,220,525,107,349,759,392,402,606,448,223,968,126,715,372,
120,555,532,000,147,078,929,605,798,417,225,090,411,693,490,379,660,923,023,
460,577,354,673,199,908,389,964,706,808,353,088,600,147,986,514,062,689,684,
578,131,249,008,246,968,982,447,647,375,631,457,899,705,320,952,738,545,026,
775,460,183,532,930,859,916,792,501,342,254,383,625,054,906,703,873,794,200,
085,266,384,436,302,259,564,522,535,138,240,969,604,112,251,205,044,797,277,
518,616,522,550,396,309,845,341,187,223,055,751,711,680,981,115,792,232,304,
556,682,939,590,866,020,254,554,904,584,871,149,342,516,627,018,846,917,246,
596,363,301,426,914,924,037,223,095,330,648,388,245,409,444,217,111,185,404,
856,881,485,414,191,986,779,950,451,374,382,847,563,329,073,508,575,736,374,
967,060,455,679,034,206,587,122,656,169,491,147,660,299,522,625,619,886,474,
427,255,300,039,664,999,700,392,260,731,394,189,174,727,635,871,960,031,411,
020,602,885,767,873,984,591,695,520,922,658,522,145,945,937,838,817,712,544,
438,881,020,689,050,421,638,107,957,827,914,541,727,109,431,055,278,633,842,
864,846,880,685,280,779,131,030,763,117,353,929,048,999,639,526,123,706,159,
974,319,585,339,761,756,896,636,632,971,395,548,392,426,960,404,682,048,773,
698,215,630,027,261,887,270,710,268,364,506,274,726,085,019,599,386,365,227,
712,821,281,921,936,104,179,218,203,588,633,008,556,471,324,929,519,032,668,
739,959,978,694,360,646,681,134,469,886,882,949,702,589,702,589,676,554,570,
967,536,113,191,356,828,786,482,018,225,747,567,362,637,749,940,730,101,990,
915,081,375,593,629,404,946,874,053,213,912,056,173,558,515,563,972,127,598,
112,558,445,628,776,072,404,743,927,040,201,169,976,601,620,317,993,128,523,
947,782,231,309,523,552,736,594,826,442,918,086,597,773,158,661,736,500,803,
512,462,247,572,741,001,441,550,029,518,786,144,949,455,295,167,509,738,648,
454,428,004,010,915,201,238,883,903,941,058,865,654,447,055,813,345,085,083,
328,213,073,210,335,369,722,659,210,167,107,781,232,904,758,879,370,138,026,
219,933,813,436,354,909,570,264,921,071,090,641,400,583,988,185,067,758,781,
552,529,985,208,702,719,628,750,466,894,498,820,599,738,629,873,990,135,547,
118,048,592,947,287,611,887,016,928,669,907,377,423,319,157,520,851,552,140,
905,841,512,016,348,780,953,541,740,906,553,171,807,990,493,168,384,012,685,
163,029,103,027,855,696,967,577,673,490,580,398,523,048,183,506,685,197,684,
282,417,160,910,155,556,506,448,577,929,288,634,822,824,751,106,542,922,674,
746,469,701,521,879,400,135,339,601,517,013,272,524,043,708,674,906,114,506,
487,890,053,371,186,813,505,282,074,784,785,155,884,538,774,492,665,813,913,
230,324,467,601,127,724,086,300,241,976,124,816,801,173,680,520,920,764,290,
824,475,484,370,705,075,327,591,500,630,380,029,755,927,081,746,094,992,886,
506,232,453,511,681,257,178,928,916,850,265,347,612,123,404,613,366,827,100,
858,369,696,524,218,944,888,639,348,556,157,667,421,548,275,494,066,242,624,
238,946,829,723,337,481,280,140,184,586,886,591,594,653,466,810,192,451,425,
323,860,584,885,671,573,941,698,619,755,325,526,928,390,117,573,451,986,972,
302,650,683,762,810,648,132,555,877,633,140,135,057,441,159,417,817,212,226,
015,287,337,006,025,344,476,573,483,817,562,346,140,410,664,286,231,154,148,
791,958,970,853,051,575,241,552,287,883,210,103,259,044,974,598,930,599,169,
913,759,595,272,427,257,781,311,989,809,390,899,022,035,192,243,125,449,397,
028,871,920,375,640,141,400,597,151,156,632,763,716,949,558,766,635,361,225,
035,606,530,356,812,679,815,159,953,328,103,278,859,128,002,305,945,349,214,
173,407,024,404,189,407,502,739,583,374,536,241,945,501,108,650,581,187,119,
578,088,544,082,137,294,255,225,345,039,501,404,124,034,015,631,484,386,638,
480,346,228,180,487,703,348,478,100,818,048,803,352,740,201,229,833,129,289,
380,980,042,228,530,355,875,577,005,728,886,061,787,735,834,343,516,254,615,
129,202,139,467,734,404,907,460,616,491,833,643,101,197,414,792,482,098,107,
562,788,862,882,694,222,666,003,271,175,573,124,530,127,234,688,263,314,708,
187,937,615,237,726,967,238,187,370,328,280,344,662,934,547,488,626,322,801,
567,936,464,430,522,077,805,236,606,057,031,605,959,989,812,705,253,584,473,
671,182,033,700,819,179,514,273,471,495,512,578,989,779,711,750,587,362,731,
070,574,259,301,088,733,673,191,359,967,188,048,903,042,447,164,459,741,979,
541,834,977,541,622,608,775,721,195,698,391,079,930,867,999,526,608,950,916,
482,898,702,379,488,359,865,122,297,891,486,040,971,813,550,369,331,720,673,
554,429,305,869,999,468,365,130,853,084,800,561,476,122,635,121,555,624,527,
746,561,507,578,063,579,726,664,124,772,066,808,881,671,106,352,276,753,011,
101,714,130,454,005,071,012,136,339,801,466,188,895,944,038,022,330,143,761,
960,952,599,881,479,550,998,274,189,494,072,947,929,421,350,815,388,053,524,
919,621,919,491,259,653,586,459,118,267,555,520,657,991,761,352,873,686,963,
782,632,444,016,862,394,116,336,640,453,080,677,985,356,710,892,152,926,449,
361,120,088,440,337,655,380,281,387,572,119,668,139,312,983,242,317,175,201,
609,582,393,547,852,755,830,008,853,329,511,692,203,751,951,514,406,789,792,
252,098,816,261,372,143,784,616,927,298,030,325,980,354,558,218,107,210,229,
180,878,388,174,912,959,250,505,317,652,331,885,551,325,629,170,482,020,799,
041,958,210,444,692,605,273,171,230,962,226,103,421,399,780,835,302,987,564,
200,338,875,036,389,375,158,527,616,518,923,371,752,861,627,563,349,501,882,
174,593,469,688,382,654,411,818,309,835,383,205,230,500,674,347,209,294,757,
657,097,442,330,271,074,949,714,542,666,745,123,439,989,239,273,310,120,035,
461,143,751,056,038,870,489,731,683,602,135,338,701,192,214,091,287,367,597,
189,628,181,547,385,938,319,648,556,686,109,044,971,528,218,740,711,262,412,
459,624,396,630,884,179,303,998,720,782,450,750,405,347,181,712,889,148,631,
727,843,489,190,760,354,112,456,623,559,075,158,372,477,463,009,605,737,556,
432,198,086,411,663,551,547,718,836,095,571,346,576,654,457,741,212,012,977,
943,899,391,306,382,182,390,249,006,355,691,533,073,928,101,038,731,022,009,
543,375,974,052,453,576,323,748,728,661,792,797,562,480,119,833,652,964,429,
412,617,853,267,231,609,335,488,406,605,382,707,375,041,139,041,097,850,249,
092,154,009,423,223,697,761,354,105,590,640,135,480,276,325,578,572,968,936,
111,929,152,571,317,634,240,371,920,537,456,567,487,980,851,591,354,182,256,
430,955,490,807,795,598,506,119,787,892,693,981,759,893,097,812,085,296,067,
144,351,604,205,954,108,212,808,579,650,480,294,438,110,495,505,970,742,310,
513,115,390,407,865,248,696,625,074,274,951,534,797,968,686,620,788,713,592,
589,824,658,713,215,942,428,955,489,960,834,964,471,364,245,149,930,059,626,
067,373,886,343,516,515,418,797,849,823,227,998,377,367,352,493,809,855,772,
667,824,975,725,870,896,845,189,825,185,224,855,446,841,338,481,936,800,270,
580,853,776,920,121,293,031,493,162,692,622,677,174,230,531,089,045,642,895,
984,721,512,700,744,544,209,543,712,640,993,073,352,829,954,146,682,703,120,
972,317,093,238,618,334,292,614,818,652,700,322,831,930,921,771,006,434,398,
947,090,115,644,021,714,147,437,348,149,061,569,558,764,372,527,151,177,491,
828,606,006,711,239,995,531,717,182,553,297,631,334,404,856,308,613,143,192,
475,551,775,355,692,800,194,877,299,753,862,077,798,766,128,845,175,541,299,
833,068,095,484,369,905,155,725,322,860,678,574,719,793,501,260,423,057,951,
973,322,502,234,247,351,845,708,884,563,649,221,118,386,913,815,474,296,008,
005,462,865,899,861,739,565,313,981,144,889,775,930,422,680,814,879,983,315,
035,423,017,774,117,892,960,381,137,699,051,219,860,140,622,069,878,610,457,
322,668,638,837,395,964,710,627,408,479,180,024,742,382,983,362,246,098,849,
495,114,369,436,006,938,563,093,725,989,921,506,585,164,634,374,263,502,250,
924,528,859,108,349,226,290,390,621,310,143,932,738,878,371,767,274,725,920,
737,319,395,017,061,478,346,518,213,932,608,587,373,767,419,381,561,769,197,
702,218,629,191,126,789,144,244,837,143,190,623,569,946,193,239,391,306,522,
474,982,501,670,525,416,456,579,647,208,775,277,094,019,183,633,258,775,670,
526,209,802,709,957,018,350,577,884,650,564,273,491,543,923,387,823,085,889,
756,160,507,898,549,009,449,336,190,034,015,311,705,741,682,364,037,256,986,
957,037,036,567,243,278,544,245,646,093,551,556,399,549,520,438,314,294,133,
966,792,788,089,600,634,250,230,883,623,155,841,368,955,619,665,770,983,847,
946,450,484,899,119,572,802,632,299,048,414,717,826,542,167,654,187,265,768,
215,132,894,230,152,670,654,942,467,225,021,677,119,707,717,343,492,296,061,
677,308,348,626,680,063,274,431,079,921,695,273,358,407,916,643,161,761,866,
159,282,047,773,165,071,263,433,398,390,702,539,956,465,592,421,100,966,973,
603,123,790,517,534,557,761,238,554,189,583,449,732,574,112,319,943,570,103,
020,394,838,992,904,270,531,431,363,035,228,991,732,473,228,302,221,345,561,
220,783,627,811,799,973,027,508,634,238,088,565,916,374,306,540,458,302,568,
165,379,686,866,038,598,515,974,638,290,585,375,239,302,034,032,495,057,653,
414,672,304,967,638,475,252,862,391,670,457,526,853,737,593,840,705,788,616,
426,062,225,268,111,378,683,814,095,762,209,039,968,849,489,794,735,699,342,
607,387,883,246,896,301,798,746,660,250,105,424,469,215,084,583,280,449,004,
840,932,006,890,118,674,946,436,375,649,501,250,343,077,516,506,641,235,849,
211,206,364,727,062,111,839,487,784,225,732,330,131,174,815,506,977,285,322,
401,859,996,840,178,361,558,339,673,563,114,364,487,437,498,770,305,274,400,
399,066,388,290,711,310,266,409,528,640,919,748,419,737,635,649,212,153,239,
547,079,171,709,356,094,984,412,594,960,422,682,129,863,671,852,742,408,374,
528,516,433,285,407,772,765,907,817,723,009,778,981,313,466,964,767,705,578,
904,736,705,279,033,354,407,530,992,963,254,565,289,462,788,753,691,429,421,
568,673,980,825,385,530,342,733,818,744,980,634,880,080,937,494,776,369,532,
641,907,889,943,416,075,216,816,752,640,340,747,327,994,122,086,278,663,993,
636,106,207,737,342,115,976,529,771,562,591,171,344,512,057,846,035,774,269,
124,400,453,372,839,933,173,282,985,249,355,691,341,111,201,745,352,175,919,
558,290,387,949,387,894,659,727,495,624,471,459,516,194,459,932,366,930,427,
341,503,357,150,624,607,263,746,082,825,089,916,881,086,123,965,709,520,243,
510,998,467,186,393,666,394,368,768,284,774,964,573,722,639,936,365,003,138,
540,542,675,171,422,696,996,713,825,914,052,220,051,458,583,790,484,968,339,
556,554,861,086,368,105,743,620,125,040,545,860,953,028,310,344,977,792,105,
191,958,056,913,690,906,091,208,170,975,388,498,707,968,203,593,019,140,574,
717,138,046,322,602,241,881,120,343,163,216,775,105,826,141,413,120,399,366,
454,047,161,313,767,807,119,411,161,569,400,729,063,078,740,124,041,913,408,
730,670,378,768,671,723,853,833,718,100,432,328,883,622,664,186,419,113,526,
813,023,225,894,402,336,132,407,278,181,646,403,637,579,880,210,844,859,507,
840,289,909,935,419,001,093,865,855,814,498,696,365,044,573,510,861,764,187,
994,224,093,737,403,117,762,247,671,028,522,012,576,398,204,390,585,843,968,
366,882,226,796,590,113,074,764,167,930,060,792,413,832,626,841,455,185,530,
505,688,272,679,415,244,041,532,982,720,386,112,829,868,578,331,459,727,441,
724,862,364,093,312,751,151,629,899,488,586,474,472,038,086,133,960,470,207,
062,132,250,153,169,655,626,347,214,397,685,818,634,338,063,132,688,089,506,
038,278,217,844,424,104,265,581,746,938,718,306,495,173,874,387,551,750,254,
562,294,488,454,153,952,938,141,858,791,325,306,725,915,664,307,921,631,394,
874,076,077,672,330,703,314,841,982,098,049,696,750,302,158,555,866,120,580,
443,437,130,338,470,156,169,152,729,493,357,649,903,160,917,217,573,772,270,
771,699,309,192,039,210,103,856,859,606,986,490,864,803,054,528,017,212,502,
216,107,542,794,452,629,142,987,075,703,182,268,332,587,990,890,848,294,247,
291,612,774,408,525,968,357,962,978,168,900,811,353,849,915,211,600,674,717,
309,047,505,025,321,454,441,180,132,848,865,869,431,903,532,240,885,693,473,
785,777,563,477,230,493,392,567,201,769,396,116,463,341,177,534,483,248,630,
098,304,569,920,440,682,745,747,092,624,266,773,457,481,951,541,708,424,750,
154,709,468,837,518,403,959,016,842,497,997,768,935,355,528,305,912,733,896,
733,654,331,475,923,134,990,739,101,772,682,959,309,487,454,044,758,875,745,
874,065,245,556,217,549,525,375,558,446,723,568,658,742,629,262,010,076,252,
933,620,223,697,323,072,870,431,866,179,119,133,364,202,350,626,281,029,873,
839,626,533,393,904,567,953,384,032,660,957,412,185,135,065,128,647,267,657,
709,927,137,538,148,986,385,020,954,524,425,872,826,785,708,409,365,964,095,
193,445,252,073,665,726,383,071,403,641,776,855,309,774,518,848,928,406,209,
724,623,118,443,243,612,185,944,367,850,973,473,715,650,673,184,175,481,493,
689,726,486,973,365,931,041,895,130,490,805,266,351,493,067,847,893,423,326,
287,130,584,824,249,478,408,370,892,500,037,312,580,996,606,231,257,151,593,
435,312,953,614,571,367,502,243,002,907,057,502,558,280,727,220,225,128,959,
645,849,713,553,962,433,367,375,704,831,789,243,818,517,016,354,736,376,286,
503,809,198,651,232,684,577,167,614,907,607,602,067,076,998,706,146,291,223,
377,587,359,939,652,470,841,765,315,315,094,663,023,983,038,365,409,374,899,
954,532,944,366,208,896,387,070,744,527,558,787,504,716,190,705,586,179,306,
520,764,287,027,925,217,261,309,943,966,684,923,144,691,229,335,032,078,487,
101,922,528,390,166,123,010,345,825,454,177,261,092,884,370,478,430,144,346,
333,219,284,694,395,787,529,343,258,067,782,624,983,537,641,118,851,926,785,
986,696,875,404,719,924,965,459,098,128,197,475,052,524,874,412,757,847,552,
890,044,087,707,726,031,882,886,464,009,105,412,706,435,180,435,679,038,543,
348,980,695,133,761,853,581,370,308,639,619,846,164,825,293,822,299,965,325,
740,021,816,665,263,646,290,783,720,540,873,218,130,949,053,533,291,298,329,
578,007,733,075,764,267,055,282,266,768,047,966,622,917,073,627,296,707,556,
933,890,981,044,019,170,060,320,627,729,306,341,574,257,435,277,168,777,792,
593,908,782,826,037,756,359,209,809,189,860,766,366,905,431,348,058,901,590,
041,772,220,104,366,588,514,870,460,517,234,012,242,255,994,650,466,799,229,
675,450,758,704,226,167,257,088,172,579,394,588,526,506,958,620,937,059,280,
631,348,057,083,656,847,872,679,611,096,130,353,857,940,339,578,655,316,590,
397,649,880,328,388,637,640,327,156,227,378,948,770,123,713,653,398,680,475,
835,861,462,563,543,819,245,481,008,361,368,304,789,803,980,066,597,698,254,
123,114,472,687,533,761,697,207,519,729,129,200,614,647,627,128,671,273,623,
776,420,663,016,791,462,696,126,122,652,118,188,247,083,979,403,903,020,514,
409,283,665,354,666,060,978,774,174,808,312,067,754,423,153,123,975,850,914,
890,740,545,248,882,536,400,784,337,375,045,824,166,695,595,345,814,545,433,
158,876,980,666,335,991,102,915,304,203,473,602,064,764,109,474,785,271,435,
761,997,498,978,314,153,668,138,640,138,955,796,731,335,080,747,130,389,737,
240,591,526,821,232,923,136,419,238,524,063,094,717,576,427,593,597,118,464,
851,508,390,991,868,087,146,519,130,985,998,708,253,231,951,354,229,358,778,
669,014,327,511,913,129,858,828,087,913,152,779,978,474,474,409,962,591,346,
102,917,673,177,280,738,456,262,163,808,376,031,316,265,630,044,313,061,469,
626,561,689,151,528,446,619,649,734,766,285,374,528,340,844,927,448,199,074,
075,289,833,853,948,739,387,007,001,471,381,226,312,742,780,061,822,821,623,
851,272,193,529,792,827,728,716,229,522,777,010,265,020,554,001,910,445,373,
943,017,474,304,952,000,700,867,293,830,496,131,039,534,787,200,017,685,835,
463,540,416,343,831,059,431,252,847,013,367,968,417,639,439,968,381,202,276,
988,500,769,545,211,571,258,413,952,098,008,227,268,865,284,797,080,631,263,
235,057,209,286,825,780,384,523,314,372,109,287,976,960,066,446,482,691,805,
035,007,493,147,822,019,348,324,660,687,055,156,112,420,238,759,738,612,761,
906,442,149,261,022,314,622,197,685,405,460,922,899,634,816,742,940,616,172,
671,884,526,202,786,545,968,225,827,525,503,749,567,634,197,670,911,324,186,
607,422,077,168,684,434,057,316,071,554,133,608,183,941,203,123,128,358,564,
888,222,815,280,830,579,682,917,954,518,707,410,365,079,672,381,637,544,650,
733,629,541,795,272,252,346,400,177,848,718,056,213,824,659,369,948,852,231,
245,149,456,960,794,410,814,332,777,553,824,830,522,909,880,997,954,036,870,
205,544,987,803,516,093,916,932,391,190,841,595,504,306,498,779,811,734,478,
215,292,010,761,414,695,175,222,619,723,481,670,348,245,523,675,232,793,902,
607,831,521,619,079,863,625,754,777,694,710,529,818,002,130,888,665,091,701,
523,514,894,197,902,892,160,120,156,546,482,591,452,987,355,086,707,864,223,
684,821,528,155,123,028,672,221,062,188,906,033,636,029,391,663,148,256,228,
707,077,779,422,484,271,848,378,988,848,081,007,875,540,822,062,485,973,917,
055,031,520,191,217,977,009,804,156,909,302,509,707,024,125,386,856,853,674,
764,527,632,684,223,303,807,675,177,562,820,115,026,023,936,754,946,990,695,
330,979,661,081,535,113,642,613,698,290,712,309,764,009,018,446,029,831,497,
828,161,631,477,402,553,493,786,548,102,786,477,111,347,629,864,508,165,292,
511,593,914,195,241,475,117,263,224,409,354,033,232,917,783,661,014,885,807,
502,411,876,514,128,438,892,061,505,248,256,506,036,104,917,755,597,121,964,
474,166,268,474,154,290,240,549,976,978,329,194,729,627,356,856,225,928,269,
702,736,936,557,481,979,840,996,789,637,301,518,952,939,838,269,048,475,683,
017,928,829,300,735,058,422,123,813,388,243,321,791,408,989,385,056,927,600,
232,261,465,031,306,138,939,585,575,760,601,366,892,482,575,019,795,488,928,
417,161,749,162,987,381,885,292,316,508,088,521,325,895,694,453,718,746,467,
625,914,242,044,219,147,937,727,201,083,270,803,287,371,457,241,072,833,255,
460,170,511,351,862,410,300,977,469,857,857,582,194,234,267,546,198,042,309,
285,510,640,213,916,615,308,299,613,297,385,235,175,472,872,719,633,196,659,
019,397,869,816,113,986,785,665,593,868,617,053,056,440,850,998,869,286,373,
365,246,478,846,532,855,217,851,901,068,940,783,536,204,209,439,038,690,405,
188,133,025,888,294,202,244,239,364,206,260,691,806,408,662,288,669,590,750,
333,359,817,879,761,100,821,094,725,802,927,971,947,178,890,373,152,174,772,
350,612,296,823,620,677,580,313,134,398,718,933,340,094,728,110,487,139,028,
137,754,255,280,673,214,781,325,893,647,570,921,661,352,448,542,037,963,136,
785,852,249,408,097,355,295,744,838,108,157,091,092,571,595,700,708,419,204,
851,024,865,451,074,680,013,562,453,779,072,099,156,137,786,422,824,183,544,
103,893,842,062,562,030,562,909,370,813,013,166,252,191,210,682,004,074,438,
975,270,759,773,477,424,851,756,867,067,376,307,229,417,942,176,572,386,025,
113,078,731,746,759,602,235,779,403,284,053,812,750,148,656,160,913,775,165,
378,996,126,793,638,649,433,746,701,626,458,823,263,006,037,779,136,374,048,
474,625,221,593,651,638,580,971,839,089,073,976,837,460,614,394,339,459,920,
891,204,179,539,016,937,382,905,643,518,634,461,719,442,139,999,896,801,487,
919,645,859,967,115,185,928,343,659,375,046,842,288,886,736,302,454,025,220,
440,907,689,871,197,342,720,228,656,097,631,919,755,575,758,621,131,174,188,
250,321,731,992,143,722,780,204,650,869,982,225,904,520,394,455,118,783,145,
835,489,002,468,880,592,136,183,282,160,294,242,197,734,298,053,583,767,208,
130,206,389,618,050,667,908,280,728,428,031,995,465,632,329,380,401,716,222,
594,724,237,180,125,223,137,685,627,001,946,768,313,382,585,316,272,298,612,
553,121,612,320,716,107,492,156,558,073,804,641,678,634,148,669,772,678,824,
485,482,639,321,648,735,117,587,942,929,511,429,457,711,111,072,022,347,203,
085,600,742,778,307,616,753,087,847,840,187,680,244,131,053,120,753,826,200,
888,082,732,917,512,302,887,517,744,590,952,833,940,164,748,936,647,527,991,
071,288,527,653,631,649,362,388,479,751,838,560,873,258,068,328,633,742,787,
538,420,480,172,196,401,786,759,465,576,456,095,144,758,696,768,036,317,152,
989,203,017,328,222,233,138,789,710,885,505,194,047,925,996,690,759,763,579,
646,382,050,659,241,140,300,231,235,355,641,306,856,014,846,783,632,161,216,
836,668,307,930,771,011,547,306,158,825,983,616,462,439,583,509,923,985,241,
085,214,094,988,531,829,191,930,928,415,841,391,678,816,592,012,363,535,334,
657,910,459,168,066,237,895,020,587,411,647,644,074,321,066,172,579,933,247,
111,830,741,126,514,832,766,762,259,633,675,017,631,833,653,962,263,786,887,
317,890,582,593,725,296,431,538,897,813,235,465,294,021,388,666,862,170,350,
730,410,501,062,362,135,395,504,344,992,445,968,025,185,004,426,486,126,514,
731,588,414,617,260,077,015,833,826,953,929,178,018,986,166,139,900,586,965,
753,181,823,416,477,666,118,797,764,262,302,202,648,750,637,445,181,702,772,
128,805,961,915,582,359,858,132,049,315,615,594,704,069,448,597,957,517,418,
646,628,904,419,823,631,456,520,085,615,046,862,024,096,394,078,041,822,948,
421,852,420,740,447,009,712,828,826,936,020,351,425,158,070,668,123,498,246,
535,372,781,775,413,020,030,193,001,829,368,617,721,259,276,027,124,639,991,
648,940,694,189,044,500,707,154,758,640,265,623,036,252,794,320,952,170,457,
520,583,126,904,870,239,312,173,499,297,893,453,114,472,307,936,142,782,301,
856,605,945,834,507,082,936,653,086,201,326,741,078,706,639,013,188,743,878,
347,240,978,416,431,798,490,321,477,145,254,288,018,864,749,000,750,233,024,
044,313,115,740,227,651,386,636,040,553,197,305,381,287,053,501,507,755,696,
364,486,291,659,971,428,059,969,954,278,546,537,057,766,838,889,274,281,602,
414,065,418,922,961,929,486,299,733,717,974,958,005,228,579,207,775,101,864,
250,635,165,141,802,467,535,745,261,332,725,722,358,098,016,747,142,604,792,
018,821,789,917,428,438,031,093,503,075,346,441,352,502,293,414,767,533,979,
347,379,809,378,838,895,772,961,585,165,141,849,689,661,469,701,243,168,118,
864,030,595,778,233,609,491,333,155,637,665,768,097,090,528,301,262,751,860,
649,020,381,643,609,026,379,741,084,352,660,903,062,716,316,155,157,428,031,
613,032,968,251,527,502,862,676,122,155,481,192,472,286,948,859,883,378,324,
861,143,713,102,842,976,939,020,895,743,001,919,826,312,441,869,448,795,651,
907,484,065,688,527,295,635,459,414,848,926,991,078,584,678,385,653,417,398,
818,793,452,007,462,244,796,413,649,762,125,979,059,526,498,587,911,910,033,
712,111,869,995,213,926,723,322,504,062,832,137,301,279,256,512,690,064,728,
523,457,570,140,200,327,834,190,090,360,865,160,003,000,186,058,702,666,696,
630,183,103,204,059,046,079,900,662,529,114,893,820,864,338,969,931,931,128,
262,272,181,983,246,521,955,725,178,045,019,385,937,808,861,430,542,780,291,
857,085,984,056,273,379,930,988,957,606,631,298,707,846,889,295,800,838,889,
693,852,508,331,959,926,644,613,674,704,087,338,549,760,746,189,732,221,680,
769,721,340,379,012,099,486,281,859,527,098,799,719,688,933,716,487,183,119,
370,965,475,116,561,904,234,649,321,617,455,388,323,495,294,759,701,684,593,
242,822,599,339,248,110,418,446,147,959,704,066,709,494,636,391,384,116,319,
317,185,789,502,594,606,853,507,768,911,771,638,806,441,967,685,014,437,354,
125,306,641,867,073,561,119,724,113,328,495,239,474,571,646,123,118,444,650,
163,996,427,824,102,522,321,644,900,718,895,984,428,246,902,622,316,713,663,
758,637,795,475,569,949,644,704,750,203,434,557,642,701,710,787,552,588,477,
142,455,731,746,391,094,663,822,190,136,066,108,156,157,056,571,740,386,049,
706,373,455,036,042,258,072,253,594,576,679,639,356,086,056,888,792,907,761,
321,722,874,859,217,431,680,719,540,484,704,420,643,866,569,693,584,684,427,
922,117,590,384,682,883,585,919,770,757,839,219,684,124,192,995,848,505,007,
630,731,795,645,349,063,502,341,557,466,706,262,376,811,066,591,402,330,923,
691,314,969,028,972,405,690,463,947,651,236,508,983,643,383,869,899,147,899,
184,890,203,575,320,450,268,155,235,101,685,054,452,265,851,082,673,267,061,
938,067,196,148,885,391,052,509,739,320,026,381,351,375,214,789,871,810,138,
795,252,482,546,503,930,006,357,160,589,550,302,478,428,885,105,275,815,938,
532,095,031,453,769,339,503,605,833,587,637,030,442,835,796,563,335,119,620,
219,673,254,092,705,612,066,020,293,755,746,078,847,512,814,710,116,623,851,
630,884,597,847,324,376,349,249,007,117,718,711,488,896,387,908,324,870,825,
766,651,447,332,247,633,052,872,589,418,260,303,794,319,391,318,049,249,862,
318,314,643,058,506,284,082,647,495,926,493,796,655,612,104,114,331,705,522,
773,818,141,398,213,156,329,606,466,412,380,833,042,024,701,203,081,436,073,
883,570,603,898,454,370,462,021,408,016,020,735,640,666,616,187,924,103,537,
428,299,118,444,058,926,868,945,054,046,355,905,700,961,064,096,328,699,730,
377,397,926,843,966,889,462,963,149,873,418,730,415,269,055,013,432,091,629,
465,263,924,117,090,762,452,980,490,370,768,736,919,014,657,159,509,168,863,
383,546,318,622,839,752,566,037,733,385,836,883,249,646,188,388,546,739,537,
703,179,333,200,988,837,261,880,526,142,129,245,804,219,594,491,744,930,576,
479,884,861,867,982,873,486,207,744,022,625,382,928,511,563,211,037,561,048,
527,969,444,230,556,548,424,579,395,902,653,243,582,812,241,516,962,076,303,
752,607,462,062,104,410,410,629,321,417,959,342,316,760,853,183,139,786,929,
991,288,569,505,937,675,743,954,887,924,065,079,236,398,587,402,251,308,152,
807,387,732,680,792,466,853,560,640,413,239,610,767,076,470,539,420,594,067,
346,145,024,205,951,737,497,105,261,659,304,986,547,121,665,540,269,325,427,
822,676,678,149,950,762,996,399,184,141,843,429,881,011,945,176,145,331,744,
236,913,158,187,277,279,414,141,003,065,601,305,596,936,759,251,158,303,007,
836,130,324,971,699,020,920,778,577,854,315,603,483,505,548,325,174,122,878,
875,043,358,230,958,849,650,456,498,346,921,216,000,926,461,720,182,460,678,
144,788,144,983,542,521,039,403,466,876,853,325,172,101,834,518,887,522,142,
874,044,746,590,945,410,354,377,645,624,293,784,489,101,092,199,823,328,313,
289,086,162,485,592,936,925,162,984,207,280,035,091,295,605,829,309,222,191,
088,259,387,037,620,105,207,927,012,377,110,669,392,128,776,766,073,616,668,
709,682,230,811,911,297,807,498,580,107,397,849,993,133,019,973,092,635,919,
804,720,012,006,186,554,431,185,759,783,528,630,544,780,781,486,487,840,316,
237,511,060,395,376,050,924,549,275,652,728,911,479,854,928,787,615,126,448,
064,961,508,422,999,376,061,145,624,770,228,421,610,145,697,798,824,721,572,
039,815,254,205,892,735,030,133,780,031,809,075,793,923,222,750,071,824,702,
595,673,191,860,947,067,941,602,680,249,112,535,761,983,104,175,515,717,406,
423,021,272,421,440,832,333,022,832,692,393,330,539,608,999,291,127,967,612,
279,372,740,040,002,754,824,286,442,651,042,526,169,888,443,534,040,596,889,
628,744,620,174,555,562,046,341,031,375,364,184,830,021,595,323,487,256,450,
873,993,497,992,006,050,446,594,285,882,787,622,354,628,161,819,959,519,919,
209,682,996,918,146,694,135,224,822,749,508,180,199,052,169,404,820,571,052,
169,878,267,533,289,742,410,112,953,401,059,108,985,752,952,586,495,845,306,
477,360,522,725,720,141,055,573,333,330,047,358,049,405,233,144,955,985,707,
503,851,521,886,967,745,724,631,756,054,679,246,572,497,747,350,881,597,408,
745,315,035,536,865,981,485,331,808,857,976,799,767,747,416,525,613,836,620,
027,307,533,573,578,613,957,551,819,938,790,066,755,927,394,688,238,220,089,
827,161,607,267,808,823,853,762,809,369,444,655,575,292,093,910,511,818,939,
226,844,348,663,125,254,663,221,789,926,251,886,702,823,956,322,234,094,317,
101,937,136,263,662,266,454,904,159,572,084,963,259,244,241,655,998,952,904,
645,000,457,471,557,826,216,508,544,393,928,414,942,236,775,199,346,571,809,
055,683,552,706,615,567,847,513,629,849,187,987,791,902,902,682,022,084,733,
940,813,234,993,870,005,554,325,108,677,665,715,649,791,003,358,123,048,245,
637,050,620,564,252,861,301,908,243,322,742,175,511,694,611,215,266,520,119,
298,940,906,218,573,511,769,456,940,858,036,178,067,986,794,721,804,117,060,
662,976,417,291,277,830,053,681,380,730,228,789,915,600,165,819,499,413,369,
103,481,735,735,264,476,304,950,056,335,612,441,925,669,713,248,096,303,549,
293,538,709,579,598,500,806,751,875,332,078,958,696,995,634,445,293,607,647,
606,946,161,195,029,467,513,856,504,039,374,909,920,083,218,332,688,901,529,
808,179,761,428,935,295,137,221,231,300,893,036,372,369,642,338,520,984,217,
667,639,142,427,118,661,096,282,845,152,850,031,207,608,890,618,567,406,194,
162,006,822,236,702,604,642,728,276,192,394,242,842,001,273,562,606,348,429,
553,064,435,300,973,894,832,631,704,340,368,025,818,639,707,089,474,631,608,
037,674,113,296,885,301,070,620,062,784,798,453,937,153,905,166,750,111,048,
590,146,744,095,754,548,328,260,402,421,641,835,449,438,117,536,706,928,606,
298,752,101,065,051,622,533,971,318,618,011,940,895,300,847,637,125,057,629,
901,509,815,701,460,698,019,917,877,298,604,181,687,525,616,901,561,800,276,
409,755,540,205,619,077,429,366,861,554,669,380,313,861,961,124,607,202,139,
735,846,079,392,914,083,953,632,434,170,035,409,545,950,252,238,142,781,591,
973,824,334,596,276,847,333,477,245,746,628,502,868,622,214,923,587,121,740,
924,854,150,052,091,467,736,994,735,641,438,093,475,929,911,919,936,227,427,
183,241,223,838,534,655,309,102,687,129,039,091,515,240,153,307,109,408,148,
003,316,394,602,901,125,181,058,268,887,636,638,275,435,822,766,210,956,944,
493,143,116,602,176,533,357,316,670,919,719,131,173,858,615,224,614,006,610,
670,008,416,705,722,453,553,804,931,565,451,792,197,905,457,382,391,870,485,
621,913,601,960,731,409,756,374,030,505,971,456,309,363,087,409,091,748,278,
957,540,695,322,174,218,338,164,312,145,116,334,277,349,195,302,809,485,236,
337,410,981,458,374,214,010,510,871,395,869,647,846,059,316,726,979,022,828,
661,480,039,455,495,316,687,454,223,071,751,594,509,734,632,258,284,068,142,
135,914,711,048,097,520,229,742,968,251,881,652,297,994,069,387,018,691,153,
260,262,995,104,956,692,756,678,686,691,707,366,762,753,885,133,417,915,361,
292,553,394,222,833,437,240,116,449,377,837,065,521,576,900,996,520,016,120,
683,384,013,180,948,404,786,060,810,398,151,432,285,005,788,655,738,627,453,
659,991,044,542,386,560,012,283,180,838,722,244,321,663,060,798,426,208,841,
688,352,555,904,769,129,854,118,478,577,658,319,748,410,681,693,263,761,460,
377,934,125,671,853,704,018,029,885,387,682,435,135,778,417,769,066,001,092,
125,476,747,811,600,768,927,569,387,589,517,414,190,541,352,804,691,692,193,
979,633,846,605,158,421,737,340,993,349,876,298,833,828,882,602,551,285,826,
755,300,845,037,129,820,472,564,102,683,052,978,450,450,439,951,892,042,951,
556,114,871,554,082,720,251,473,441,733,579,929,553,048,822,759,079,975,158,
532,734,818,999,122,987,731,910,735,223,867,027,564,406,842,775,399,451,073,
651,050,609,228,330,376,868,415,191,907,795,178,733,460,528,378,023,124,451,
471,743,931,405,802,572,557,296,226,337,544,796,104,131,688,914,586,019,806,
176,949,690,056,519,660,464,343,721,476,608,483,148,834,850,064,313,431,760,
568,539,974,240,161,539,673,433,946,248,659,882,334,061,110,724,482,141,297,
211,991,040,966,935,684,524,033,210,305,144,342,734,670,310,941,622,840,802,
260,677,614,449,497,770,939,565,673,191,688,416,834,232,617,199,383,239,334,
004,699,427,602,004,122,674,718,923,608,302,407,311,789,318,062,394,081,197,
406,684,096,823,724,442,907,255,180,107,893,949,536,288,746,701,942,500,684,
220,082,822,633,704,482,620,853,179,940,396,715,329,309,038,436,563,861,054,
993,896,745,480,614,901,429,419,628,988,162,452,062,071,522,159,397,778,799,
484,441,800,667,746,788,438,878,650,634,162,877,360,396,800,022,361,575,375,
614,810,679,040,372,594,044,292,894,540,343,622,474,469,527,086,669,514,198,
792,298,791,024,301,185,807,489,559,911,632,260,935,756,349,861,311,575,313,
618,289,079,165,169,092,080,424,447,252,090,967,796,213,371,940,683,247,256,
632,720,374,492,997,861,404,775,658,280,158,263,818,413,176,291,476,236,377,
485,376,608,800,149,442,908,698,232,324,917,251,277,040,696,704,902,114,709,
985,032,698,376,901,654,136,255,910,638,069,979,389,677,795,118,868,197,360,
129,906,426,284,998,602,911,341,417,673,642,427,579,153,836,220,322,841,030,
347,974,015,224,097,892,292,064,615,773,123,556,865,739,629,539,426,569,242,
644,578,449,587,697,781,738,679,347,175,325,109,674,201,794,615,059,753,550,
431,587,822,679,937,061,640,164,662,593,702,909,588,985,183,213,965,687,174,
096,021,258,179,742,842,107,913,033,191,704,560,120,675,457,319,533,733,833,
112,148,036,261,580,407,235,203,176,793,151,031,800,731,656,094,502,565,255,
791,567,401,424,334,532,670,198,224,580,888,495,861,421,498,333,143,333,565,
181,067,127,851,007,577,051,170,914,119,220,416,615,840,247,767,548,247,270,
299,910,763,163,435,283,026,652,568,154,749,809,761,800,394,198,195,449,605,
951,107,397,571,883,883,020,094,208,836,010,419,684,579,715,997,438,291,313,
239,601,999,830,494,727,935,823,401,763,668,379,908,504,936,065,988,099,100,
402,771,767,115,296,413,904,851,856,017,818,282,379,422,959,664,062,564,441,
913,769,837,144,571,307,164,835,692,259,745,174,814,227,767,653,601,468,002,
476,939,823,697,466,253,143,780,841,425,331,291,224,188,070,293,724,405,984,
165,212,108,537,236,080,668,048,860,742,847,739,929,415,251,911,375,685,435,
355,955,347,263,614,058,091,975,284,318,565,539,941,568,046,133,155,130,667,
142,249,562,578,611,912,920,836,341,100,704,120,261,279,597,288,037,852,299,
836,203,439,772,878,233,246,466,915,365,642,630,313,015,624,201,723,491,011,
440,256,434,885,162,805,703,004,977,348,636,565,389,438,590,016,353,891,602,
545,520,349,955,225,813,497,974,376,289,746,192,532,147,520,511,187,123,125,
313,773,569,248,323,568,408,630,462,865,770,135,013,573,404,558,928,545,990,
539,836,488,455,973,403,611,271,476,217,383,027,546,965,672,376,802,259,948,
197,574,159,619,886,502,061,610,604,183,880,531,599,623,642,629,331,859,902,
514,482,072,545,087,247,309,179,196,382,108,609,748,977,147,649,109,229,234,
790,770,991,670,824,965,910,615,219,757,445,114,202,392,504,202,129,245,186,
791,111,955,169,727,893,948,425,006,276,769,329,805,269,646,904,724,456,696,
176,512,793,793,406,465,328,239,861,437,783,748,733,844,642,008,658,416,877,
196,639,593,649,024,014,178,260,122,422,876,826,438,644,038,961,073,300,802,
146,547,792,639,786,721,292,467,161,081,476,097,933,759,752,177,355,449,182,
196,750,915,036,267,631,957,391,430,128,179,923,728,559,633,855,270,113,139,
424,585,521,231,638,961,563,858,871,409,212,138,231,668,147,322,977,215,715,
584,038,479,603,698,663,770,463,918,454,298,442,886,945,919,591,273,713,687,
693,576,303,668,682,020,674,709,269,777,926,590,590,087,693,675,158,631,203,
162,831,054,413,426,208,759,710,207,456,960,195,618,628,848,447,218,257,666,
239,458,396,927,837,739,638,383,334,596,882,902,933,206,338,861,415,112,586,
323,333,191,373,844,446,572,318,790,653,980,354,410,405,201,651,294,465,879,
840,985,499,113,972,771,580,717,713,645,480,167,033,040,854,669,387,131,839,
941,157,196,038,748,808,641,713,626,464,253,446,397,106,963,041,063,580,882,
384,021,561,011,620,518,383,019,465,542,702,453,033,930,288,264,897,632,992,
881,061,341,861,126,533,290,971,771,887,114,028,409,424,531,577,241,270,956,
958,920,339,351,688,417,399,768,850,094,324,494,543,256,005,551,035,543,407,
068,279,476,907,192,074,310,774,249,641,269,424,531,313,011,432,223,526,746,
720,231,270,124,727,352,647,812,767,347,412,383,123,311,873,664,736,352,847,
889,244,583,998,391,273,523,202,089,680,038,677,053,862,351,134,651,515,906,
901,207,263,615,997,374,273,598,217,611,215,883,914,525,252,934,106,304,333,
077,803,275,632,062,934,275,406,272,790,884,018,816,004,313,855,031,840,916,
633,909,327,303,383,001,436,534,940,609,696,167,591,218,087,810,106,103,693,
602,866,335,389,076,105,377,286,128,428,651,501,659,466,397,920,322,317,404,
244,443,694,142,680,501,384,521,710,341,517,340,679,655,291,364,139,091,955,
468,075,944,516,267,570,089,624,654,257,747,593,888,702,671,016,421,067,249,
407,984,096,540,100,429,495,291,866,231,896,792,661,624,254,724,836,891,916,
264,556,050,794,623,842,470,403,570,432,149,302,707,185,486,351,431,948,225,
256,236,423,307,024,505,997,436,400,255,867,965,323,399,370,908,116,812,727,
209,660,492,944,291,747,075,501,999,651,210,451,914,654,486,772,980,810,308,
579,680,382,531,583,528,616,573,305,888,050,664,487,000,537,833,680,246,626,
130,793,754,297,856,408,048,792,939,356,981,933,843,018,206,109,072,141,366,
307,629,127,299,475,477,509,778,557,828,977,931,531,969,441,384,297,918,540,
937,982,218,217,064,501,384,440,160,594,428,190,377,869,337,260,062,882,181,
412,585,554,160,025,346,306,928,234,591,997,374,846,887,488,215,038,684,339,
187,317,908,272,865,688,242,725,193,035,110,756,970,523,149,568,574,967,571,
269,294,135,178,932,764,375,828,853,659,701,851,376,201,950,371,518,174,040,
620,462,212,398,489,998,596,054,617,713,635,075,370,530,854,277,345,619,600,
344,233,993,887,109,689,198,613,438,958,161,205,190,007,934,787,547,819,677,
197,897,070,621,781,126,081,227,762,543,979,404,639,705,553,156,983,441,767,
526,207,206,964,532,320,088,625,408,617,968,400,896,669,647,836,566,921,505,
480,481,589,815,954,716,422,679,339,349,929,597,423,146,943,756,401,676,340,
688,819,904,367,789,577,639,661,868,340,309,337,136,667,745,249,907,133,053,
487,173,419,314,921,450,706,595,278,400,431,051,159,588,178,616,351,492,925,
883,202,684,412,354,957,070,031,784,643,972,364,451,862,613,219,507,669,596,
548,126,040,198,996,938,077,033,301,261,550,796,898,552,953,659,856,068,931,
052,369,689,036,882,445,698,717,957,513,646,633,106,172,517,996,742,790,846,
737,842,738,885,666,935,406,750,421,427,855,929,535,495,392,114,717,605,357,
440,368,032,083,063,194,619,160,337,190,251,508,465,087,644,673,009,735,713,
204,635,701,305,285,733,582,116,952,551,598,902,813,483,243,559,827,072,375,
659,261,633,591,777,012,782,867,287,582,797,250,467,623,734,599,291,685,180,
491,575,735,893,550,296,300,880,280,436,572,006,730,664,137,060,310,915,784,
343,604,066,577,446,433,204,878,791,844,056,738,832,702,761,399,209,365,847,
285,182,119,878,834,708,211,939,887,398,115,160,064,016,438,681,612,648,144,
941,562,926,867,817,995,463,430,102,505,119,476,911,317,146,996,699,276,838,
206,798,578,542,208,009,908,002,478,421,551,433,459,143,993,176,490,333,466,
800,410,535,139,695,079,910,359,960,961,463,637,458,185,783,051,741,723,149,
892,736,518,677,154,976,416,027,549,753,333,851,347,786,219,057,342,620,684,
268,560,449,495,004,080,102,149,135,335,148,494,082,712,470,482,428,659,777,
511,277,066,792,487,734,313,209,609,643,311,727,055,874,510,549,080,956,635,
245,840,053,102,080,893,327,870,373,474,243,431,926,478,195,274,612,329,738,
900,926,712,190,204,192,260,121,379,394,653,332,154,282,351,109,101,282,149,
830,360,274,929,154,599,048,964,921,409,622,998,742,038,444,126,676,762,886,
403,138,002,891,737,692,924,821,545,780,647,308,518,510,569,341,771,701,434,
971,377,791,971,275,609,301,976,831,783,050,940,950,800,457,581,793,282,205,
012,906,259,124,706,704,303,547,969,513,717,586,400,212,093,437,736,281,048,
338,481,578,104,651,192,101,613,496,710,297,753,863,492,369,414,361,794,493,
657,992,756,039,112,989,943,853,249,378,508,393,984,235,327,615,232,483,083,
955,858,287,129,673,431,604,135,704,130,693,942,329,039,264,766,502,481,065,
684,829,649,464,968,905,373,209,253,537,357,264,048,175,933,075,790,760,006,
388,468,698,897,831,507,978,375,779,654,366,993,865,612,460,091,717,463,746,
640,415,518,886,875,048,921,779,374,626,675,003,006,740,812,874,383,739,101,
134,262,023,400,359,513,690,819,701,529,687,520,086,167,590,572,010,351,068,
736,810,434,248,596,104,842,179,137,574,389,301,225,221,952,023,403,692,046,
490,794,781,104,744,398,750,070,244,671,074,412,416,469,138,718,831,753,972,
522,172,179,034,767,930,305,699,451,849,748,419,473,206,582,492,163,577,018,
923,334,693,803,569,671,471,353,959,284,401,497,401,837,414,290,514,465,522,
321,899,762,011,977,797,092,540,112,445,400,904,910,187,559,008,293,207,991,
128,183,224,950,486,057,388,428,688,300,703,176,173,076,482,722,047,357,880,
830,472,283,393,774,352,880,432,418,566,354,629,933,499,025,329,112,277,007,
505,496,959,817,809,937,127,981,640,284,098,480,040,710,999,728,042,866,737,
679,751,003,690,075,938,568,798,319,676,488,950,326,455,426,192,328,024,039,
487,685,720,182,750,090,649,532,262,481,270,920,638,812,593,616,452,750,087,
799,341,135,630,629,013,496,541,000,814,794,795,995,200,109,775,842,872,841,
823,226,951,460,226,702,057,365,420,649,258,539,887,549,666,026,052,777,649,
791,154,829,619,509,527,217,266,691,998,352,039,503,473,462,734,034,740,615,
546,145,517,779,459,603,991,070,419,420,714,324,570,300,743,892,191,687,547,
183,546,122,801,533,183,135,315,543,606,500,125,688,164,570,022,744,882,673,
361,639,246,130,061,695,966,641,405,122,917,647,624,841,877,021,116,123,174,
657,985,338,264,391,714,088,729,579,335,062,063,335,549,019,257,867,204,950,
854,939,646,808,494,543,696,037,060,214,580,159,668,958,241,939,102,926,619,
779,879,405,006,212,881,788,081,029,752,690,360,531,915,460,192,792,322,987,
429,045,117,652,810,608,099,386,817,032,627,068,459,500,644,893,199,814,089,
629,579,614,838,757,605,008,692,409,885,756,382,372,771,056,682,316,726,358,
940,600,285,517,005,374,341,835,418,513,785,388,066,638,972,104,560,098,711,
686,480,074,600,159,762,241,760,358,980,402,901,395,701,345,131,779,087,890,
380,107,768,866,230,491,851,266,480,676,033,936,782,686,133,063,400,229,057,
967,349,723,392,760,851,664,027,396,941,289,158,596,614,799,339,290,359,182,
241,170,679,995,707,372,481,886,068,363,648,517,977,048,610,924,728,693,093,
541,376,564,970,934,163,983,676,781,491,665,522,590,650,117,265,553,709,576,
055,066,108,596,990,457,123,670,957,146,666,378,241,635,710,201,026,967,095,
974,516,745,384,172,488,564,481,882,815,868,118,618,157,369,374,602,470,416,
040,723,842,639,063,305,509,058,831,039,821,235,222,824,432,026,422,336,822,
071,916,727,095,974,022,817,149,504,860,812,008,751,067,414,750,317,235,948,
863,674,162,548,348,794,289,753,358,339,524,712,723,510,825,472,804,375,504,
214,578,001,374,273,322,756,622,956,026,309,010,194,090,659,024,437,977,561,
915,274,281,360,918,181,895,147,502,590,544,833,567,887,166,167,776,236,615,
452,791,183,333,084,499,126,629,588,772,546,470,147,900,991,681,458,640,153,
179,503,786,457,391,890,118,633,473,251,403,369,823,603,816,016,727,992,015,
489,201,779,582,061,062,263,362,523,413,504,425,383,147,498,332,061,211,376,
083,665,966,365,983,578,772,800,949,189,451,427,872,529,736,203,820,951,082,
478,969,064,112,099,597,758,520,504,861,937,913,289,725,059,933,834,699,959,
748,779,484,692,978,044,359,892,861,459,802,427,987,469,642,950,958,765,659,
864,006,312,105,486,661,650,564,895,460,379,612,339,281,556,961,877,656,417,
063,861,526,306,123,734,417,226,578,660,566,834,271,448,999,495,779,483,191,
853,622,225,315,091,940,938,319,158,192,244,674,637,064,367,176,908,100,986,
150,867,964,815,745,364,643,545,718,443,970,791,396,948,440,559,542,178,465,
048,519,749,850,346,954,307,511,853,569,109,258,663,117,953,816,270,300,845,
887,707,689,381,427,050,720,844,248,724,716,903,646,265,623,749,829,460,325,
219,962,119,494,397,124,474,713,952,971,218,509,488,796,637,803,459,242,208,
829,684,783,282,244,617,262,425,451,482,047,878,235,497,773,428,279,508,333,
105,497,404,941,995,438,893,186,618,402,913,458,423,471,955,926,472,930,094,
917,325,144,768,027,375,240,377,759,823,633,719,006,052,638,519,770,817,985,
124,125,283,939,796,270,732,490,761,378,600,024,847,664,296,839,139,979,109,
621,927,359,874,343,771,975,624,345,634,516,046,548,696,587,839,674,790,775,
743,336,048,867,116,558,900,986,306,039,594,196,611,099,789,214,215,691,987,
852,734,239,225,182,586,735,266,778,410,749,334,815,385,672,851,251,900,945,
861,601,724,656,938,427,980,579,667,473,732,624,647,598,908,141,787,550,794,
069,417,545,809,017,379,997,357,016,942,156,905,200,031,979,161,391,980,856,
284,098,219,934,173,604,488,162,525,834,843,441,128,973,643,973,211,254,797,
810,441,825,077,027,675,230,264,325,832,679,819,196,345,127,709,900,333,542,
270,296,176,311,755,640,626,309,952,155,955,453,707,897,207,624,700,732,760,
575,062,943,018,165,555,871,042,567,556,858,873,832,585,914,233,432,397,804,
557,231,486,570,400,767,254,868,088,115,516,275,885,070,072,314,654,819,572,
177,661,539,467,341,006,794,491,266,309,821,709,745,146,421,064,234,295,874,
635,315,203,691,033,623,437,148,648,895,408,490,992,792,966,840,312,154,035,
426,667,638,570,133,463,022,098,500,370,408,262,414,468,934,239,074,854,644,
637,704,966,324,837,310,755,979,555,867,290,047,071,322,757,899,513,412,834,
943,889,685,071,770,924,113,305,896,859,646,544,965,477,388,628,686,870,181,
335,178,887,364,884,282,273,666,644,525,387,994,903,227,796,075,385,762,839,
065,485,634,327,551,115,247,335,654,630,330,543,631,825,510,032,573,672,456,
883,657,909,148,677,200,433,988,417,745,929,219,096,092,589,491,738,867,379,
312,925,809,275,147,247,390,760,756,169,458,618,375,353,377,124,837,488,464,
457,661,637,903,847,784,547,559,062,843,337,997,498,109,389,701,525,470,365,
272,453,237,960,786,637,335,423,435,825,215,778,465,963,808,311,889,416,352,
481,067,366,195,490,232,208,851,105,489,130,365,670,379,321,067,961,371,108,
092,575,640,233,929,507,370,023,646,013,214,613,210,416,625,828,502,798,046,
279,390,916,364,228,333,258,755,320,759,546,592,544,835,213,375,409,907,037,
682,260,332,230,767,711,198,175,092,780,279,563,142,591,741,801,304,136,163,
724,639,365,683,268,835,435,063,243,598,553,948,290,327,563,605,263,961,522,
942,852,748,251,593,485,311,540,533,590,164,255,931,454,265,627,222,403,993,
161,106,123,415,271,870,771,380,674,594,379,037,883,311,729,267,801,496,502,
614,379,987,391,723,576,065,266,350,239,130,925,378,941,183,080,900,347,885,
680,236,205,991,759,192,304,442,934,429,482,771,686,581,307,478,406,002,565,
789,432,633,415,778,051,182,014,026,520,936,069,860,004,707,481,012,027,412,
136,327,857,323,334,989,332,711,006,008,449,438,993,440,969,215,022,246,541,
470,831,186,621,648,760,315,467,414,538,275,840,801,267,246,049,566,660,623,
808,191,777,702,675,016,364,926,139,346,239,619,458,938,258,343,733,722,698,
447,385,836,107,123,119,695,699,779,731,241,458,488,836,792,377,206,203,047,
903,483,562,571,242,625,172,358,871,873,537,144,702,460,527,762,795,210,225,
155,847,189,723,218,102,556,426,133,976,618,154,739,969,027,424,693,157,418,
903,895,046,106,769,424,810,590,354,630,088,866,484,008,545,684,289,774,822,
482,377,252,929,246,577,552,305,206,521,269,244,899,569,349,717,666,206,079,
486,423,365,044,774,690,499,823,931,524,643,197,607,156,800,754,059,943,585,
466,951,393,480,080,114,661,395,838,979,135,178,385,083,212,093,688,656,740,
640,833,975,897,314,412,212,253,504,028,844,318,216,653,708,675,071,468,208,
204,283,121,709,797,592,765,733,119,857,366,336,698,407,411,844,624,300,349,
216,532,864,657,706,312,650,280,097,573,372,916,383,405,755,190,938,358,030,
888,208,405,680,588,428,106,760,727,034,841,275,040,577,092,054,332,955,367,
897,640,448,881,299,947,989,836,443,511,565,905,517,027,558,642,053,093,005,
013,008,748,487,150,870,437,621,122,949,292,455,173,313,241,235,496,676,646,
158,224,084,812,690,738,599,306,563,269,946,775,661,653,508,630,613,491,683,
966,057,418,957,806,072,172,174,281,204,680,176,236,095,475,938,957,296,259,
699,488,113,460,776,283,146,322,005,611,818,533,648,952,866,589,012,951,230,
205,391,573,213,500,367,352,183,728,013,787,225,859,052,493,555,846,412,188,
518,966,849,231,075,253,111,797,523,261,302,589,226,446,705,113,369,358,416,
019,930,454,952,092,148,923,145,133,487,661,501,790,011,456,249,173,970,240,
691,834,279,484,264,979,759,732,740,090,558,749,690,204,869,511,129,134,885,
870,654,017,808,112,921,059,802,811,412,850,463,957,100,284,330,992,461,745,
381,782,220,462,163,611,680,664,884,429,570,457,313,794,494,753,951,641,583,
569,460,692,334,879,410,824,618,512,269,624,557,952,095,875,049,595,735,463,
467,028,697,244,001,741,717,755,560,759,701,441,700,916,760,053,832,029,139,
696,103,226,664,553,950,041,894,417,092,586,475,122,335,816,847,821,827,782,
494,712,857,166,302,656,058,542,947,322,454,851,720,204,442,876,506,878,662,
929,005,740,621,134,711,293,468,725,661,443,959,565,626,768,179,141,653,217,
984,328,290,842,307,499,531,477,100,133,336,690,091,470,660,079,712,777,315,
824,699,361,330,877,164,279,842,854,335,293,221,449,121,366,614,206,185,034,
615,013,825,361,517,621,461,580,507,459,551,597,338,120,865,101,394,154,546,
293,850,995,120,205,046,194,482,190,759,135,333,246,955,220,148,431,441,608,
034,577,168,656,250,163,096,015,313,004,468,466,194,422,367,042,241,717,292,
905,412,308,475,874,884,037,164,732,944,519,349,949,200,868,842,739,218,860,
335,212,898,015,216,285,933,837,413,142,380,036,091,817,769,848,678,832,516,
313,690,356,644,159,591,219,491,100,830,645,697,292,267,733,920,187,060,799,
537,344,335,436,963,619,328,483,736,675,193,931,312,507,997,520,981,890,790,
819,312,519,109,193,252,942,788,397,718,170,599,290,644,422,245,008,914,442,
846,042,778,018,943,717,064,107,530,310,933,532,524,956,050,917,870,281,722,
789,530,978,339,573,934,814,840,941,935,170,039,309,667,651,017,311,615,558,
577,506,987,450,619,529,413,199,183,135,585,096,199,398,623,224,550,989,937,
230,130,472,446,254,493,597,833,614,577,602,598,624,622,893,842,739,427,998,
750,716,240,738,406,799,295,505,412,282,436,580,259,454,902,681,116,622,977,
727,600,263,525,268,577,465,375,904,891,646,741,684,856,470,744,234,332,556,
643,034,595,844,579,879,978,902,301,996,671,823,299,177,110,237,484,820,276,
495,284,737,000,080,759,152,304,364,837,676,802,120,545,353,035,036,449,989,
186,619,613,259,168,622,094,941,860,357,675,672,778,150,959,344,475,518,354,
579,505,006,855,207,682,178,360,549,582,579,909,493,441,314,345,713,289,980,
272,170,889,029,644,941,590,345,967,249,399,734,166,819,077,952,755,499,333,
231,612,556,552,322,905,135,296,371,299,284,071,643,584,879,465,554,142,022,
617,595,086,553,185,790,239,940,921,802,816,284,440,579,674,997,118,334,626,
355,898,409,864,223,666,624,776,658,473,037,409,222,743,428,261,799,282,215,
258,052,728,408,802,929,396,199,405,597,565,944,094,228,033,994,948,502,943,
465,508,801,744,736,586,810,852,107,373,019,297,129,474,564,040,592,552,207,
453,246,180,643,529,444,287,287,579,219,635,934,739,115,009,424,865,267,113,
243,315,089,574,882,994,029,911,786,965,457,695,391,481,905,678,443,056,725,
284,467,053,671,697,538,387,340,106,843,926,928,785,060,204,435,027,156,246,
099,993,264,739,377,996,788,645,242,984,923,101,502,172,059,292,738,707,241,
734,541,947,847,521,726,728,321,028,478,451,322,624,367,674,970,770,381,472,
744,413,271,309,504,851,055,788,913,791,279,505,940,459,867,958,700,656,207,
244,848,421,496,166,776,127,441,424,606,348,408,109,324,827,834,459,303,859,
772,458,125,530,415,568,127,599,447,056,427,283,492,794,360,286,503,346,517,
434,843,537,465,262,144,898,354,605,877,487,931,667,941,045,792,607,897,769,
229,735,822,449,337,101,445,247,035,281,652,693,643,260,648,589,119,797,177,
941,352,814,045,476,340,803,081,586,405,579,782,690,590,652,889,448,733,241,
737,605,376,917,277,793,606,260,738,331,620,783,566,392,472,548,957,179,406,
910,494,007,859,787,100,137,495,009,637,026,800,809,451,075,627,530,615,835,
665,997,493,426,849,381,824,851,460,092,252,497,498,352,273,026,000,333,327,
418,260,988,820,687,530,977,161,390,950,646,323,811,839,741,574,102,861,577,
077,432,436,231,048,237,003,441,248,651,894,479,821,510,196,895,265,717,104,
277,962,770,234,894,662,981,803,883,849,233,570,249,609,594,303,858,470,241,
752,359,765,866,830,132,772,715,838,723,514,668,815,927,019,565,046,688,981,
187,734,543,518,261,116,062,179,344,872,402,169,959,591,144,186,685,812,388,
935,056,314,790,325,767,290,620,768,332,428,518,760,343,924,513,978,447,589,
399,549,739,261,010,508,122,044,799,066,363,460,165,869,844,921,744,061,035,
746,248,897,461,192,374,974,132,825,567,258,454,846,529,545,888,684,413,127,
370,214,441,120,319,592,176,035,418,917,932,206,631,887,335,940,249,275,430,
550,324,640,813,314,045,577,621,014,317,620,057,067,080,485,559,003,159,054,
920,492,398,919,143,065,404,139,052,312,436,081,807,895,684,779,185,379,866,
842,422,390,130,456,921,726,404,363,906,950,395,139,376,056,641,639,641,111,
584,284,997,544,337,195,246,159,843,495,434,621,407,346,300,676,243,054,110,
515,622,675,120,700,032,570,289,930,049,603,443,093,291,366,122,513,688,921,
869,341,126,952,628,269,570,934,244,055,375,034,571,059,814,923,486,751,845,
632,350,511,633,728,192,500,989,127,645,845,299,304,762,847,605,576,165,129,
980,016,578,037,335,239,459,930,112,454,370,350,683,760,477,478,142,085,977,
314,072,892,895,040,612,800,176,385,052,515,557,507,295,639,394,424,752,344,
403,855,731,024,704,030,727,632,227,360,536,784,492,968,261,531,999,872,316,
724,988,115,295,392,904,053,229,840,925,524,077,969,531,294,680,202,800,680,
424,079,153,452,686,629,095,104,920,454,854,822,908,023,805,551,142,977,959,
297,271,709,602,586,085,401,858,016,203,971,466,751,183,324,187,493,426,931,
222,464,902,675,099,435,702,201,596,274,822,128,159,691,993,646,485,865,559,
892,899,701,737,238,983,008,832,959,045,639,813,694,098,536,833,520,885,689,
160,693,573,311,619,338,940,158,526,689,236,620,240,677,870,238,068,000,770,
199,627,348,203,800,640,495,006,810,307,840,528,194,953,033,732,551,655,924,
278,793,956,558,703,294,793,025,592,246,244,862,675,732,367,316,503,075,967,
240,428,200,693,748,094,189,141,191,392,637,215,923,129,712,688,111,919,027,
215,441,480,150,706,612,001,436,859,899,042,598,170,335,784,625,880,301,513,
122,539,881,550,377,070,774,038,638,140,039,589,142,154,947,228,519,138,693,
420,042,490,088,595,866,118,937,384,906,705,136,364,044,728,519,449,254,028,
608,139,852,975,981,466,460,887,740,729,040,234,651,109,247,120,326,315,953,
213,560,411,250,816,217,535,777,011,781,985,731,548,125,135,091,328,885,538,
311,433,940,096,664,989,592,144,045,632,209,284,817,203,713,335,157,485,192,
059,415,377,911,276,969,418,264,680,761,880,943,677,810,472,160,226,117,358,
217,252,753,251,391,065,802,395,996,271,605,591,374,078,353,950,180,897,975,
533,855,458,122,197,299,417,953,223,130,168,294,778,586,830,057,944,884,594,
482,619,010,464,784,466,102,325,890,479,765,443,626,758,474,978,938,090,350,
384,174,390,992,476,605,894,604,226,237,348,422,406,090,177,937,804,027,098,
171,910,459,005,685,351,840,764,977,946,814,905,918,720,295,631,903,735,469,
485,834,859,512,691,375,472,253,984,417,210,266,389,827,679,788,546,726,691,
593,944,578,529,498,253,633,395,823,724,450,561,629,518,343,496,672,040,728,
996,879,488,063,173,940,914,679,047,498,328,997,778,612,348,384,841,655,053,
140,321,966,971,490,471,582,742,263,146,844,540,408,382,357,225,714,787,665,
400,525,157,160,154,143,344,943,854,563,027,778,958,354,803,574,129,409,518,
190,336,812,013,436,747,772,550,800,647,810,822,163,846,810,543,060,136,070,
834,913,024,209,074,696,372,725,118,011,871,893,595,961,870,128,322,203,577,
358,848,551,475,341,938,401,919,005,736,172,034,768,445,533,436,631,926,966,
032,306,909,648,642,758,655,111,494,846,397,383,329,293,274,304,760,064,581,
609,526,990,725,827,586,752,937,073,466,482,914,930,634,852,514,906,708,058,
779,292,624,582,619,651,515,282,820,142,235,783,564,627,625,118,343,660,019,
482,579,023,584,581,965,031,676,493,760,930,179,879,859,479,792,257,895,929,
391,462,512,932,383,101,396,007,063,201,837,023,670,566,456,856,214,288,146,
013,874,101,375,200,339,402,579,146,145,867,555,394,673,854,361,599,623,821,
197,981,521,575,885,324,407,831,244,505,105,159,319,117,702,393,809,156,754,
953,972,767,954,428,912,028,079,121,337,139,546,171,160,237,317,349,896,617,
433,597,591,651,347,684,666,030,810,610,464,643,230,474,900,077,790,893,864,
231,989,600,762,350,975,866,079,727,823,359,384,956,096,494,872,597,951,013,
831,858,570,305,702,231,170,883,860,659,329,050,365,385,416,022,196,708,146,
151,051,286,919,197,984,941,942,732,006,755,975,987,936,328,464,164,944,545,
988,317,059,165,897,032,947,995,379,401,733,963,873,296,383,450,006,885,673,
027,434,869,959,748,453,540,912,502,044,246,895,973,218,114,200,110,589,446,
426,797,836,994,222,131,539,364,418,103,315,776,071,233,626,370,532,496,927,
252,773,311,902,750,945,160,452,643,465,727,215,456,505,728,669,005,343,610,
991,007,520,907,467,090,491,758,250,686,980,824,918,601,484,981,263,227,108,
986,114,489,909,344,487,526,052,764,035,558,108,077,516,698,169,299,885,575,
520,120,450,737,398,975,421,123,636,973,688,152,333,734,634,699,377,425,002,
190,273,077,675,929,940,189,897,447,029,467,639,512,773,573,264,470,656,902,
863,396,203,790,548,150,751,020,855,885,960,753,170,954,387,800,511,262,124,
584,034,348,758,174,723,628,934,073,310,533,747,436,112,712,148,747,401,285,
864,685,968,155,772,038,006,752,274,801,305,757,015,222,981,222,264,928,640,
665,850,634,413,996,548,597,001,548,760,747,611,877,469,867,740,114,608,986,
600,945,635,317,594,439,829,553,055,255,831,715,018,693,378,817,660,924,697,
246,875,537,739,493,795,166,107,349,339,343,193,262,711,196,699,061,637,497,
060,704,426,557,712,883,668,874,656,277,087,725,178,088,520,621,153,522,074,
495,916,378,209,791,660,861,707,525,395,026,855,363,156,031,132,049,135,274,
417,670,209,627,705,490,444,235,573,235,094,168,305,768,164,924,019,506,386,
294,416,101,528,771,036,789,374,162,461,067,492,873,941,459,334,156,118,693,
948,014,246,258,830,186,214,991,604,450,981,303,896,688,369,587,735,109,192,
086,644,291,117,167,073,320,934,999,571,508,898,912,964,163,276,885,138,764,
999,825,079,453,276,277,608,373,483,222,788,551,795,986,734,527,999,416,079,
671,969,590,352,664,912,034,175,205,310,173,039,065,583,953,744,729,129,915,
425,169,463,850,168,369,564,850,704,082,025,827,738,293,471,246,912,973,631,
940,104,548,162,627,160,671,781,731,218,184,832,876,717,393,049,470,734,887,
621,439,736,675,364,427,023,112,141,341,986,403,303,954,134,805,056,705,640,
446,118,181,528,294,145,047,050,139,926,963,704,411,727,037,822,801,553,673,
349,344,528,994,715,245,773,370,299,556,945,177,960,330,896,782,385,428,943,
669,061,323,679,100,251,234,845,950,858,419,928,477,889,660,755,523,227,925,
931,746,893,706,688,839,430,462,674,521,714,201,485,695,800,735,064,407,833,
433,202,791,302,496,855,678,978,132,788,895,241,544,683,808,955,036,112,782,
735,193,152,058,398,694,304,198,903,938,008,706,985,245,607,085,514,181,194,
589,776,182,194,398,325,936,288,867,386,686,638,632,262,108,468,069,030,475,
604,462,296,031,818,291,539,476,304,862,727,408,711,351,404,088,914,408,501,
267,270,788,313,115,793,624,558,619,762,441,139,327,275,561,013,352,927,712,
852,842,568,597,859,518,497,217,015,636,273,745,418,898,636,394,974,556,152,
760,317,041,306,294,946,451,127,994,600,110,957,217,576,231,609,866,562,096,
204,362,650,233,053,414,202,326,649,936,760,897,280,887,240,316,970,808,069,
097,989,237,526,940,928,649,219,732,409,692,801,572,384,022,548,400,077,229,
873,846,704,405,909,502,058,028,636,155,562,017,817,136,878,538,344,799,506,
519,457,124,803,674,065,076,529,902,210,110,789,414,698,426,768,852,165,172,
276,274,099,806,242,744,217,545,308,282,787,798,059,016,496,528,098,461,878,
394,125,531,652,640,923,523,242,248,741,266,470,080,604,864,501,595,724,076,
545,461,020,034,875,971,396,679,548,277,277,818,798,261,132,539,490,739,422,
894,348,458,504,125,446,254,974,020,722,729,501,365,202,617,730,304,692,972,
475,318,682,741,678,128,212,561,166,418,715,271,558,588,031,099,814,587,104,
017,292,062,859,785,522,949,004,970,710,527,011,870,147,195,222,009,967,436,
577,344,847,577,008,203,398,315,212,240,238,400,436,479,629,917,142,450,449,
673,428,129,833,633,498,737,408,283,539,391,577,936,674,258,050,799,705,250,
274,529,515,544,683,436,433,612,153,145,399,820,906,615,551,990,211,742,661,
536,693,906,984,411,282,082,186,094,155,689,185,547,902,305,933,423,596,090,
120,551,477,396,856,725,518,565,875,309,516,671,127,559,389,459,394,481,322,
851,038,182,780,975,976,004,882,441,211,582,419,079,424,260,465,427,994,330,
421,606,180,480,641,733,214,872,531,122,402,565,700,068,293,883,648,172,810,
531,093,339,646,991,819,034,651,202,576,679,157,497,776,715,499,495,283,324,
547,441,965,059,712,787,715,131,661,382,073,373,591,359,816,238,706,522,975,
336,064,446,645,178,884,310,484,490,179,015,444,490,064,057,658,907,382,175,
283,097,254,985,547,602,845,845,774,406,312,345,604,291,312,139,649,889,915,
274,365,973,425,540,244,726,875,813,184,401,253,934,035,627,584,418,735,872,
807,966,903,651,218,678,783,179,235,610,039,716,361,354,581,460,776,122,366,
969,512,912,549,120,495,017,102,092,853,937,769,681,078,729,253,357,758,592,
191,156,767,818,256,849,874,165,370,910,495,838,964,990,210,046,581,208,047,
544,625,257,190,898,580,612,521,517,500,354,520,306,501,966,200,045,659,784,
918,370,850,744,417,551,872,082,403,767,994,592,854,248,596,702,986,023,012,
269,376,754,018,578,090,239,630,699,675,315,209,779,481,894,616,548,421,834,
942,577,970,735,434,037,410,700,049,296,099,574,857,303,202,129,200,796,233,
050,700,980,351,584,920,683,659,433,467,636,796,840,359,921,533,787,075,875,
807,148,180,391,332,143,236,975,122,910,481,273,355,849,005,831,072,889,074,
187,818,302,306,167,570,412,990,048,838,471,140,121,431,413,964,645,149,375,
761,838,260,323,872,243,182,204,987,845,517,310,564,425,803,795,263,302,653,
095,261,048,719,666,042,668,131,264,827,208,760,089,549,907,575,152,048,549,
728,298,456,351,041,025,884,139,958,519,783,013,830,305,461,493,607,298,023,
974,417,756,931,709,390,502,276,816,172,266,257,026,354,953,328,083,335,325,
526,159,970,651,965,717,498,447,731,376,474,638,420,272,110,890,653,794,200,
624,254,161,353,174,573,029,097,376,734,913,580,219,511,546,763,663,465,346,
419,532,316,434,423,849,661,546,930,087,079,652,893,476,521,934,452,483,370,
539,740,654,965,823,546,131,670,653,900,613,378,475,885,073,292,878,896,440,
108,557,433,923,080,314,165,056,151,061,727,120,426,730,472,804,584,823,350,
265,837,129,165,373,771,488,293,419,669,772,951,442,274,079,493,120,919,547,
868,906,125,238,092,191,043,764,549,454,588,338,202,404,607,525,442,638,165,
980,450,432,481,557,436,965,739,813,217,733,479,727,272,985,291,845,802,728,
845,732,028,144,943,474,983,218,479,041,514,160,456,222,220,337,817,531,087,
244,267,801,620,919,140,261,328,258,021,153,878,037,347,471,052,931,974,666,
318,056,629,070,112,380,882,145,888,261,538,020,886,664,376,299,761,738,369,
810,785,197,025,772,785,266,487,237,995,194,823,570,273,019,672,022,894,801,
163,415,084,226,904,819,736,958,466,469,501,290,066,266,934,834,618,136,110,
127,113,547,577,972,108,805,270,016,827,412,004,036,574,362,797,520,247,713,
706,151,887,067,185,790,738,124,482,953,061,458,863,551,623,291,863,466,463,
208,501,527,190,723,691,929,570,758,240,758,311,192,434,126,656,040,777,545,
921,336,472,451,754,882,209,849,115,762,257,461,026,569,976,548,639,711,836,
649,481,732,026,329,295,627,730,554,598,157,645,900,847,081,877,398,696,512,
295,543,123,289,617,646,289,545,005,334,711,090,247,243,800,967,021,171,219,
611,664,518,533,274,633,699,084,663,908,358,787,016,748,781,913,957,993,722,
266,430,412,772,623,274,685,784,811,708,116,050,008,202,444,748,962,560,579,
745,157,892,062,334,805,332,372,758,240,090,866,372,020,965,308,155,832,670,
643,835,492,905,649,548,096,032,752,631,157,470,783,387,861,840,922,025,854,
876,132,325,785,793,814,384,338,403,931,220,725,414,387,433,423,533,882,015,
840,419,328,911,577,971,875,029,810,625,150,993,997,931,271,672,759,854,013,
435,515,078,819,331,769,838,057,785,811,631,161,683,105,456,519,820,069,185,
110,134,927,138,404,559,116,642,270,168,639,646,300,840,204,422,162,989,713,
058,545,537,673,752,707,442,939,474,590,090,051,723,289,652,942,854,697,328,
330,775,073,788,129,567,447,656,835,085,310,015,802,125,849,300,007,259,272,
923,310,488,012,467,468,287,519,221,377,843,591,719,488,875,038,579,878,956,
401,568,515,093,032,849,076,371,131,338,957,285,522,800,283,173,023,662,989,
615,355,465,017,411,433,111,245,418,320,059,733,948,909,168,541,912,502,401,
383,178,913,930,627,195,187,117,756,324,241,094,717,803,959,687,165,768,296,
793,697,992,748,742,541,121,584,593,526,785,114,354,305,591,289,947,032,551,
250,944,981,754,797,500,048,326,724,678,486,411,825,543,593,565,585,591,693,
722,098,597,166,099,911,480,309,503,763,338,356,277,107,537,848,512,529,615,
804,802,914,021,996,072,219,453,480,612,431,706,688,973,558,604,558,900,286,
146,705,962,577,134,527,848,288,861,183,660,134,725,809,432,578,329,508,886,
664,574,886,494,056,484,619,174,235,020,205,365,089,423,678,581,405,033,074,
904,679,054,514,072,546,970,968,545,919,466,449,945,531,596,256,957,162,196,
059,794,226,510,480,189,737,105,018,878,103,508,429,131,177,761,565,519,294,
520,245,500,012,174,031,479,069,052,907,224,079,911,612,022,144,910,665,702,
590,117,225,563,959,139,299,309,849,563,697,499,295,747,797,367,976,349,651,
727,778,340,012,440,817,987,253,922,734,544,159,631,678,186,240,230,587,686,
708,738,418,087,735,705,167,965,831,393,531,848,923,636,079,341,111,493,710,
529,315,692,164,514,946,329,836,957,546,767,535,411,852,160,146,893,441,296,
262,210,394,010,682,231,780,353,590,303,853,505,542,630,105,536,142,598,792,
800,930,893,140,025,610,364,113,911,224,539,713,890,952,436,631,573,034,153,
497,728,777,983,862,786,768,729,146,856,494,697,293,122,896,644,042,709,909,
224,053,449,746,604,412,491,146,823,836,614,285,640,586,985,799,652,021,327,
320,840,851,980,709,464,625,854,441,197,496,683,274,405,016,875,409,751,767,
306,905,914,717,336,872,144,384,059,707,567,819,058,185,081,061,905,332,112,
028,264,618,923,654,761,303,258,779,210,444,434,231,707,960,468,700,205,780,
383,505,745,871,503,902,092,684,076,272,374,616,646,459,539,400,011,722,837,
373,662,065,600,564,339,529,158,902,285,008,800,576,801,387,802,183,365,555,
202,047,196,916,744,014,862,502,371,859,191,927,525,513,689,034,374,372,945,
712,418,738,377,551,040,782,850,755,320,804,307,477,313,016,051,793,863,641,
872,623,354,661,939,480,797,707,979,175,377,275,741,672,686,266,666,135,886,
760,550,971,217,886,130,645,736,798,397,600,348,866,611,451,214,508,058,172,
122,109,570,689,051,304,246,894,866,276,652,055,470,022,757,862,503,072,387,
395,822,952,420,885,641,408,071,327,026,073,071,570,767,477,530,068,170,247,
986,497,063,970,880,037,586,031,840,429,068,862,569,386,767,675,632,673,957,
280,360,889,018,003,676,769,011,071,772,121,530,314,334,988,296,586,486,078,
805,112,058,686,208,700,306,644,117,314,011,791,550,716,341,167,196,347,675,
311,407,612,844,938,658,064,837,221,317,493,137,618,805,008,127,043,039,119,
764,068,846,500,697,039,793,896,677,770,862,902,709,228,155,114,788,681,780,
023,797,208,638,807,695,701,695,659,896,807,435,554,630,353,988,156,896,704,
742,401,060,239,475,506,624,234,216,074,225,195,833,554,854,589,593,181,446,
091,653,716,121,680,392,910,868,070,031,080,583,113,832,923,065,008,846,605,
008,698,092,429,137,444,564,571,606,746,381,916,576,706,956,686,674,258,707,
526,614,357,434,224,228,151,046,911,644,573,547,374,228,750,627,737,314,519,
604,633,420,263,855,294,996,961,901,827,997,575,539,460,717,416,208,453,671,
291,730,381,411,645,256,738,047,722,909,632,543,626,909,225,660,039,693,350,
942,453,707,412,485,304,751,026,978,263,961,666,837,194,041,348,426,928,332,
813,664,985,902,165,905,227,020,767,629,374,222,788,119,274,119,483,339,018,
072,551,296,673,278,451,086,018,463,676,122,566,370,811,211,124,449,104,843,
654,726,172,589,153,983,919,909,044,818,136,856,365,202,558,651,113,330,756,
980,682,091,671,342,540,172,019,317,079,010,032,200,276,826,360,285,596,270,
866,607,098,494,528,769,046,183,363,638,878,908,632,301,054,047,089,090,883,
279,055,410,540,392,762,535,674,539,056,051,102,938,283,615,885,354,744,923,
752,731,449,875,929,088,310,847,148,034,723,182,206,519,255,509,456,097,601,
204,704,123,195,755,382,827,360,544,255,951,526,245,348,347,819,082,059,715,
854,448,975,231,119,977,501,624,481,832,981,907,201,094,622,534,612,627,947,
285,510,121,720,202,907,847,045,946,680,882,173,146,566,013,901,323,102,908,
970,051,423,773,958,297,402,616,804,064,902,892,178,232,798,694,966,656,940,
434,252,355,508,959,538,431,420,489,354,328,135,188,099,023,636,098,865,853,
536,068,032,590,599,865,298,590,254,790,879,972,461,573,818,411,684,672,421,
178,859,562,004,228,599,326,277,251,047,398,261,421,039,105,234,001,486,208,
621,994,323,020,932,740,720,358,379,826,984,300,466,047,688,258,049,524,658,
378,257,763,716,845,967,261,370,421,922,086,364,258,004,295,655,224,140,615,
463,514,404,384,751,562,309,013,521,852,749,447,319,703,046,289,346,844,381,
812,047,333,263,571,580,132,855,717,671,737,247,329,172,421,672,362,262,690,
275,014,996,692,983,878,397,686,897,211,501,338,157,684,917,353,904,809,544,
958,361,776,157,383,272,470,598,398,667,495,789,313,192,227,285,864,482,635,
182,257,675,457,632,901,939,914,546,607,263,914,388,533,918,233,104,316,456,
612,498,114,808,193,071,154,362,461,745,221,205,769,116,730,753,944,968,963,
631,405,013,088,964,866,462,508,287,249,591,518,740,258,876,027,274,281,338,
100,618,434,934,194,675,631,539,781,785,706,696,806,226,613,345,655,055,850,
244,102,573,697,600,272,128,071,473,941,425,133,822,067,518,275,443,849,889,
582,353,167,749,975,070,562,228,739,306,733,312,807,245,055,886,528,195,663,
490,406,005,964,219,924,355,047,083,283,444,930,672,098,582,822,621,458,270,
442,777,399,441,968,424,562,160,678,136,810,770,549,281,374,557,445,624,246,
661,836,790,297,644,774,009,193,326,220,143,627,373,265,721,862,408,741,211,
672,730,015,689,992,012,884,972,500,291,176,858,316,198,139,363,098,370,113,
444,897,287,414,274,591,382,065,682,377,874,159,972,339,455,683,593,731,795,
942,848,889,732,135,909,503,847,002,433,395,508,531,678,038,607,655,148,242,
019,421,770,810,619,235,400,016,402,332,830,365,915,167,409,390,973,989,107,
333,849,501,111,781,192,097,837,549,669,921,341,779,838,397,904,019,336,713,
732,514,205,797,105,559,470,054,812,445,998,959,240,044,055,792,419,994,909,
109,876,548,218,384,894,191,299,210,561,522,999,808,571,572,925,042,758,980,
040,602,164,932,420,108,813,656,968,741,692,960,146,736,172,621,028,314,449,
660,790,007,825,020,072,384,371,352,355,895,269,673,201,518,446,818,401,156,
048,461,932,896,756,210,140,729,789,164,200,926,442,265,551,715,688,459,384,
763,893,033,738,357,685,068,705,267,370,736,925,404,336,623,005,226,856,059,
114,537,352,711,268,192,754,420,493,596,985,198,923,454,021,236,803,595,115,
918,646,620,652,106,742,522,643,322,591,968,942,733,152,924,315,030,741,456,
835,159,930,173,819,965,339,750,370,510,917,473,144,852,141,387,192,559,332,
686,754,943,996,438,693,775,068,431,953,758,058,408,800,209,139,318,157,459,
254,373,519,340,755,617,660,658,366,125,180,444,549,217,391,674,103,461,258,
858,505,921,756,408,014,858,345,423,389,187,836,423,998,536,532,016,403,916,
258,138,253,034,411,240,184,984,706,636,089,131,921,973,432,517,676,005,679,
626,742,805,355,296,679,544,884,722,149,633,473,428,838,095,793,154,542,609,
110,077,703,699,956,909,286,517,870,471,145,484,487,414,318,800,315,117,170,
407,353,120,936,269,099,630,271,534,926,602,630,713,104,012,739,727,881,776,
556,033,487,278,601,812,881,486,285,587,935,423,462,724,646,568,189,848,765,
161,867,887,652,430,889,117,674,900,226,393,887,639,594,745,561,290,313,061,
172,411,227,852,233,404,520,709,371,160,838,048,364,766,186,696,608,030,546,
609,366,588,504,224,652,942,897,612,080,898,955,798,464,923,831,815,626,267,
786,951,562,556,979,189,052,978,540,926,783,093,294,629,459,742,287,535,107,
458,475,981,287,083,288,967,309,290,789,407,896,973,977,818,074,902,265,483,
632,968,103,496,969,477,602,798,295,347,305,909,167,457,508,200,372,917,603,
894,316,541,708,326,475,829,141,011,321,178,496,930,893,677,565,443,260,893,
283,962,194,450,891,210,192,134,815,409,595,418,970,185,727,220,392,523,277,
924,816,769,560,708,038,663,186,769,598,654,519,438,139,695,138,829,208,764,
419,898,411,615,974,074,105,969,659,468,028,070,890,899,543,701,606,343,175,
418,986,697,658,056,768,586,520,767,963,723,158,950,810,219,849,505,955,804,
921,539,125,911,138,790,471,800,902,803,378,335,863,756,227,711,272,276,862,
110,392,349,842,309,665,865,518,885,845,703,802,874,340,735,343,353,270,024,
168,788,483,736,442,206,326,572,102,879,308,619,021,318,163,226,291,017,201,
975,400,952,017,289,534,117,518,087,956,619,871,594,078,246,489,483,912,304,
972,534,841,404,066,042,742,589,134,142,690,602,916,476,156,224,322,999,617,
111,974,072,601,979,176,174,184,337,497,306,048,899,894,223,681,720,409,835,
931,607,589,353,964,265,145,972,212,610,617,569,494,442,455,787,651,730,606,
452,987,608,987,119,027,647,458,830,788,562,645,951,058,397,698,061,063,401,
935,396,658,854,481,284,985,646,131,939,029,029,706,216,050,920,333,625,071,
124,145,845,583,482,194,877,935,836,907,786,806,563,144,942,097,807,362,331,
668,412,040,337,948,935,860,018,358,784,376,436,970,890,286,104,401,517,502,
995,343,549,843,137,606,688,706,703,528,615,492,104,278,762,502,306,803,278,
134,703,708,253,600,490,898,272,902,298,008,636,767,605,061,159,008,941,405,
446,924,482,059,455,114,692,953,789,393,776,090,084,010,342,895,589,831,302,
682,639,038,875,188,112,164,188,443,685,115,447,720,965,957,581,894,390,498,
757,283,444,142,160,079,055,679,950,488,447,746,843,848,577,527,770,580,117,
937,756,410,566,019,288,314,722,996,361,839,357,884,236,503,068,113,776,295,
846,810,950,860,838,559,653,592,340,559,177,462,273,357,913,920,826,802,723,
174,515,738,721,298,735,391,105,274,027,693,903,130,129,424,949,569,409,838,
934,634,049,910,420,473,817,001,137,260,592,034,527,199,661,774,247,517,401,
764,339,623,609,218,424,916,542,995,828,141,788,449,512,413,027,372,985,357,
677,512,712,834,001,076,608,965,916,117,692,045,982,669,988,728,472,611,496,
781,002,245,149,066,121,623,404,398,951,085,642,354,378,844,882,423,068,835,
130,775,823,972,875,434,168,645,536,887,430,241,802,948,099,578,165,526,401,
636,303,637,152,175,580,889,451,998,060,416,436,926,271,537,966,691,416,073,
468,879,348,292,218,946,469,900,540,279,165,583,315,129,222,990,476,890,297,
478,013,244,228,670,751,588,432,902,277,137,830,443,373,329,532,341,470,232,
500,968,981,624,075,882,721,580,592,373,541,489,271,215,707,562,139,349,561,
498,855,123,370,017,192,846,047,093,476,686,795,858,978,958,548,814,975,508,
719,271,196,545,924,006,069,556,610,361,645,629,060,487,631,956,628,340,230,
946,220,703,247,301,425,946,769,572,791,807,724,146,504,369,941,910,608,163,
981,763,426,353,429,020,321,919,890,293,900,159,455,817,983,800,679,189,890,
208,792,255,066,987,047,210,259,362,536,322,681,628,647,426,442,241,835,794,
339,809,382,833,716,044,242,106,476,207,009,107,293,280,386,095,838,089,886,
161,891,991,078,847,718,616,976,518,300,953,414,925,374,424,388,975,794,060,
185,464,038,270,044,307,882,203,608,713,012,186,793,419,486,481,118,053,371,
829,165,811,198,664,767,814,818,230,921,460,787,028,257,029,775,933,490,546,
136,581,280,826,135,258,506,109,239,020,525,210,043,581,805,343,605,441,580,
727,047,380,563,028,814,804,150,661,604,293,989,802,212,547,646,160,584,551,
318,738,614,730,712,307,370,609,658,487,995,955,151,261,038,857,409,620,966,
075,923,005,942,637,165,233,607,786,246,068,491,988,098,353,585,714,072,264,
085,066,003,348,550,665,100,732,098,346,633,821,834,503,249,057,865,734,227,
791,495,971,785,764,930,579,277,573,961,158,378,028,844,413,910,880,560,440,
738,399,834,168,115,452,262,684,292,876,125,797,114,476,639,506,937,285,641,
094,438,434,178,051,135,517,471,073,374,340,973,926,319,555,343,314,972,068,
445,804,155,464,091,041,215,303,190,689,445,089,861,961,110,182,911,609,151,
876,084,394,533,352,454,718,534,479,014,041,445,216,365,331,473,858,792,604,
649,008,105,979,255,472,611,373,591,024,069,416,041,817,063,872,423,309,661,
903,588,763,308,537,410,973,954,886,001,502,591,410,094,540,310,708,734,262,
108,945,437,732,097,873,290,638,171,765,828,604,363,529,777,121,113,656,668,
066,078,063,028,282,990,181,884,377,975,155,112,240,821,032,591,829,245,255,
842,762,101,206,888,316,702,606,567,979,413,931,239,481,693,704,453,402,660,
241,967,797,903,646,909,836,299,257,814,736,271,591,049,352,711,518,518,723,
420,308,324,733,589,487,955,842,236,443,581,089,257,189,794,346,426,080,178,
304,186,710,103,801,547,347,261,018,738,677,728,494,228,166,159,878,909,380,
365,982,785,913,350,897,721,082,657,737,908,550,922,109,762,632,295,709,421,
688,258,967,023,054,363,036,832,691,341,245,956,811,504,732,968,435,292,545,
606,930,211,351,485,041,867,613,364,999,801,133,563,589,602,615,189,449,792,
713,235,369,282,594,425,076,999,509,997,484,423,331,849,680,655,411,941,905,
585,705,110,674,220,044,389,968,123,848,792,961,184,672,521,037,200,688,035,
219,533,142,580,009,489,038,968,382,584,838,683,812,891,494,607,924,227,180,
645,524,035,767,400,329,455,545,192,168,366,066,086,371,801,663,997,865,781,
474,894,143,617,689,617,420,828,623,016,207,867,327,717,606,663,629,653,631,
563,715,977,266,613,885,407,407,559,483,228,925,484,808,041,530,768,459,416,
618,873,730,440,396,634,097,163,237,648,277,903,065,889,482,761,544,719,774,
867,309,662,258,791,709,387,651,854,086,765,223,175,707,031,122,256,467,033,
891,669,885,755,757,471,580,184,884,924,697,737,535,818,325,692,730,602,189,
462,947,601,529,126,272,656,140,305,914,038,621,578,701,952,990,896,737,689,
240,744,866,923,032,820,745,295,154,997,414,947,829,943,111,808,892,668,523,
399,758,845,007,735,656,766,976,836,330,134,485,919,514,958,561,180,091,576,
056,204,802,997,830,687,441,008,666,303,596,291,630,145,787,116,002,312,292,
102,843,950,082,060,450,741,435,295,511,443,435,616,794,485,994,357,546,241,
706,090,734,418,548,780,326,492,227,752,853,268,788,714,711,003,336,251,136,
147,150,385,575,634,076,843,838,913,029,598,905,290,276,125,516,153,373,733,
201,140,393,198,833,931,976,166,524,295,627,272,001,567,332,359,582,307,421,
681,007,635,888,600,461,783,287,056,915,133,120,169,191,263,195,703,856,313,
415,179,460,833,035,492,183,053,184,036,385,078,788,407,882,776,993,577,595,
892,047,541,516,019,897,964,077,431,655,888,853,177,890,325,798,233,976,261,
486,444,235,821,917,965,389,117,203,948,090,608,389,705,854,600,046,186,231,
761,259,454,167,725,413,240,678,884,540,315,906,927,431,047,262,427,778,791,
854,498,056,755,202,422,914,146,633,345,918,354,297,603,830,668,876,517,852,
938,435,235,374,075,168,518,789,743,850,214,401,498,302,625,756,109,713,795,
260,466,951,150,544,496,969,717,740,234,781,769,694,429,448,367,036,779,474,
916,817,792,341,230,880,486,932,722,561,758,155,557,823,960,332,395,420,890,
312,260,437,177,002,815,385,723,695,044,831,118,844,422,845,837,277,579,894,
707,157,886,181,271,435,683,958,711,255,705,032,692,001,055,635,853,092,783,
627,520,695,467,300,124,795,464,118,734,439,230,095,879,818,679,073,251,285,
879,747,218,869,934,471,183,345,779,125,069,669,407,456,841,192,923,073,901,
628,417,488,605,520,216,991,260,406,248,798,025,342,618,650,769,138,274,716,
243,710,580,512,630,791,376,353,895,182,408,413,638,646,229,751,390,591,519,
250,286,571,230,532,986,618,623,095,222,786,174,835,519,550,273,089,789,443,
428,791,188,131,073,810,170,227,174,830,099,479,581,025,565,681,047,267,194,
201,124,829,433,295,067,861,959,943,231,276,841,181,121,809,030,803,645,787,
564,795,430,322,619,551,354,224,555,205,321,081,932,789,725,644,938,266,325,
149,881,207,864,635,446,469,237,228,366,646,186,624,639,162,748,639,369,130,
417,472,497,836,037,724,227,927,714,693,202,830,096,497,788,206,478,629,169,
921,802,376,125,618,206,970,490,393,147,778,091,716,003,742,994,055,949,897,
786,756,034,216,475,146,884,480,297,920,618,959,062,624,645,833,339,843,285,
671,146,309,685,851,402,925,501,293,638,105,307,160,526,250,015,587,213,908,
161,574,742,633,642,859,608,218,604,639,281,071,046,421,294,615,815,570,218,
877,232,072,778,105,220,903,288,132,395,582,122,271,523,022,565,568,746,504,
343,182,799,146,506,079,678,593,041,713,626,969,311,299,246,496,354,444,767,
278,790,962,867,284,278,981,328,495,091,902,553,343,535,282,572,558,524,263,
803,893,099,813,279,660,266,190,347,772,651,949,002,896,178,558,738,592,396,
926,452,071,442,882,617,648,096,344,924,959,099,353,540,377,685,021,011,988,
288,850,542,277,064,411,214,369,768,355,950,858,258,305,057,539,150,162,159,
746,831,208,442,512,099,493,717,954,700,878,106,362,287,691,901,536,933,056,
142,951,786,215,904,315,154,541,750,017,625,973,681,029,722,972,039,380,780,
044,446,932,174,027,225,699,925,415,463,188,984,778,936,074,197,690,644,947,
668,970,353,175,714,804,488,286,556,228,847,395,734,308,259,643,884,837,956,
256,999,846,406,098,368,217,452,866,110,717,456,354,674,930,457,760,466,551,
578,059,992,698,538,124,966,150,508,347,963,837,130,557,946,873,114,546,597,
383,584,523,870,725,614,439,660,122,633,918,230,514,199,540,757,620,613,967,
606,295,868,870,377,255,410,495,420,458,222,138,920,455,208,172,380,431,384,
493,032,841,723,577,519,211,283,012,585,162,500,290,414,070,921,134,296,516,
935,132,203,975,947,866,551,132,048,441,767,761,028,786,175,331,038,797,893,
193,066,614,270,447,855,629,811,154,855,303,565,418,705,291,290,682,280,276,
616,061,922,259,482,563,550,122,041,496,608,723,842,719,729,022,063,657,802,
274,483,089,183,963,806,129,798,869,862,000,038,465,901,498,053,072,086,038,
564,957,199,787,143,375,020,410,128,657,008,714,094,345,043,409,324,404,582,
147,652,235,549,227,199,758,635,906,430,704,646,536,698,468,932,161,160,045,
652,146,660,816,814,439,306,102,298,036,810,870,962,335,189,233,381,686,615,
402,171,664,476,913,596,466,209,401,775,141,248,883,268,071,747,748,662,455,
071,600,607,178,927,153,506,946,434,677,373,802,520,803,610,084,425,151,378,
560,268,274,215,599,291,410,129,412,061,771,761,531,002,603,473,315,527,432,
755,038,150,954,946,492,381,824,116,860,306,246,709,815,344,377,409,493,494,
531,122,452,039,927,595,946,529,770,100,190,569,934,153,984,637,352,827,904,
909,568,622,605,772,962,222,615,569,000,969,398,663,269,551,854,093,683,514,
363,186,190,584,482,143,524,895,110,136,320,462,043,397,457,993,977,704,020,
719,130,121,872,206,468,819,857,191,284,290,181,497,221,193,963,840,375,764,
469,292,472,423,779,221,374,340,990,215,374,945,917,344,956,798,576,098,786,
081,183,283,737,248,101,580,831,017,025,769,950,009,481,273,073,428,138,957,
840,159,466,960,794,067,567,680,959,937,672,728,787,514,131,943,511,129,240,
754,223,343,477,548,168,539,125,872,574,466,779,313,001,961,533,545,041,273,
443,221,052,419,331,617,263,054,676,659,472,332,675,277,061,666,888,831,015,
806,920,435,740,030,613,685,762,286,459,529,798,491,696,712,209,879,631,438,
249,227,866,769,370,637,776,657,609,289,015,103,471,275,754,586,253,443,492,
917,036,769,281,221,044,296,503,113,690,353,377,526,947,513,283,890,906,578,
774,412,323,995,315,765,370,769,681,851,956,312,312,207,333,610,581,311,309,
516,509,789,511,035,064,762,879,566,059,068,171,154,097,213,287,737,383,223,
287,483,501,306,636,702,226,309,291,573,230,315,809,068,445,935,976,127,213,
860,879,530,809,535,022,826,195,475,970,887,543,166,687,378,941,437,909,056,
646,504,050,078,646,460,990,181,858,345,398,766,787,867,662,217,479,002,611,
950,720,226,122,066,867,879,546,577,261,983,463,512,188,748,957,474,020,645,
380,444,909,702,489,060,577,725,112,800,471,188,847,565,379,287,658,281,909,
576,482,462,549,661,256,666,580,556,136,726,385,595,739,719,800,953,568,813,
876,570,226,414,397,862,527,279,140,612,225,446,466,657,574,591,573,627,756,
283,181,491,730,803,433,161,441,258,229,885,406,134,373,372,987,591,180,474,
781,106,706,783,946,093,503,931,891,634,422,975,713,221,681,232,212,861,853,
603,446,235,377,201,082,323,375,859,186,008,159,763,928,576,969,283,400,576,
456,775,653,797,549,447,028,389,495,232,909,419,822,890,738,377,389,413,435,
903,750,046,645,375,488,428,660,849,387,289,473,247,982,849,093,826,522,357,
683,256,947,185,493,061,395,527,407,765,445,912,523,668,855,168,716,487,239,
094,678,035,333,424,216,943,574,322,458,677,937,686,512,710,861,995,007,984,
694,186,170,060,122,029,401,982,431,420,733,149,032,449,078,471,158,634,881,
440,485,435,416,990,413,086,608,426,719,473,546,757,541,289,818,702,414,360,
853,771,687,619,261,072,248,808,744,351,592,302,545,920,118,843,373,782,549,
323,935,381,116,829,318,106,993,790,761,398,733,599,782,061,847,852,706,440,
294,487,794,959,120,404,401,170,352,677,648,540,052,845,021,156,960,634,298,
684,720,769,357,439,198,721,991,197,325,392,963,068,499,327,691,150,447,047,
906,648,896,479,674,853,142,926,353,138,918,897,681,188,145,416,418,036,690,
462,752,769,629,942,335,819,900,817,460,019,139,093,225,288,008,462,719,587,
930,162,544,857,506,217,781,014,034,370,455,379,908,646,560,980,642,714,519,
234,703,248,614,076,650,255,559,517,525,966,482,398,663,457,497,451,870,094,
527,923,578,224,168,418,796,848,020,088,311,636,641,387,847,813,401,040,915,
496,359,595,635,457,897,788,961,871,003,529,751,720,992,503,741,447,341,485,
230,297,318,779,643,830,783,841,782,822,198,358,863,901,954,653,734,079,617,
924,070,344,933,585,751,227,628,950,884,080,292,689,947,581,699,278,980,399,
694,160,955,123,389,176,598,924,945,050,264,089,441,110,226,934,353,604,655,
324,414,147,374,951,697,379,252,661,683,836,683,907,542,102,520,376,214,676,
804,995,791,642,614,880,448,867,017,736,719,800,244,299,341,998,804,527,354,
814,215,001,330,986,182,989,493,967,985,525,817,324,526,191,535,248,057,892,
478,643,362,599,357,349,728,317,498,397,422,366,286,355,074,242,810,147,347,
422,711,744,678,121,123,910,533,237,035,000,445,379,007,966,244,492,809,427,
121,338,534,649,653,527,600,277,637,398,054,229,449,846,994,378,731,308,576,
215,767,680,655,833,964,497,584,391,126,207,535,134,430,138,643,223,338,030,
642,029,301,510,717,984,097,917,914,879,981,654,847,440,727,127,595,149,784,
135,784,736,929,068,767,026,892,651,248,329,751,531,564,923,867,754,168,805,
111,712,331,107,964,734,003,572,606,060,187,410,096,299,967,765,500,035,076,
154,157,120,091,039,049,475,274,215,609,704,955,439,284,750,911,512,017,234,
648,077,843,367,426,110,446,181,333,337,044,480,939,625,098,275,197,549,007,
498,122,044,844,428,248,499,076,289,701,950,365,064,659,310,775,064,918,802,
681,788,819,556,168,699,209,552,185,749,079,053,035,665,263,022,669,967,893,
941,334,766,548,749,588,379,163,726,429,136,304,252,945,856,729,939,552,569,
597,464,552,029,093,407,867,455,581,971,076,118,583,899,718,014,431,823,241,
200,197,950,963,986,239,990,779,059,964,551,917,481,992,471,737,763,606,122,
061,559,353,159,892,526,121,449,910,892,113,992,610,698,805,186,225,790,593,
907,407,091,156,646,122,247,725,000,496,377,549,903,928,144,454,960,856,606,
323,492,829,366,660,779,378,398,129,045,446,612,440,435,608,755,576,279,659,
674,674,198,057,839,453,710,377,214,699,280,904,112,708,489,626,634,936,630,
911,971,255,130,429,949,675,612,365,910,682,034,929,879,112,398,458,609,135,
629,641,529,255,558,056,882,823,031,480,751,201,952,032,404,060,793,109,778,
708,425,385,322,331,218,998,256,170,551,712,926,284,126,305,085,906,630,606,
870,771,860,979,801,880,510,069,692,075,978,737,684,915,788,564,473,992,320,
562,531,209,644,998,841,573,453,396,048,538,630,927,301,630,200,451,650,438,
782,873,724,495,734,308,061,178,162,983,876,556,525,097,833,440,368,256,445,
541,746,540,278,515,831,773,417,920,313,290,802,402,482,706,240,975,782,075,
985,156,621,934,504,430,402,528,562,370,219,754,081,331,136,190,878,412,724,
403,352,029,223,829,611,513,110,287,067,963,544,246,113,182,832,842,563,680,
094,359,281,225,043,156,664,158,634,042,895,021,106,364,610,957,715,782,066,
060,410,883,395,404,473,726,243,119,745,992,147,018,246,931,162,664,438,801,
783,751,470,924,277,272,259,944,676,089,250,009,979,249,070,299,827,102,643,
356,664,309,430,753,880,000,388,315,150,488,914,797,579,864,078,339,166,321,
419,110,986,189,407,984,336,033,545,680,370,702,096,989,093,510,438,469,179,
362,728,424,671,300,715,402,774,618,110,465,007,280,921,570,230,981,211,228,
454,626,853,198,309,804,299,512,696,708,338,707,444,605,131,021,124,868,733,
615,574,157,203,849,063,328,778,706,530,208,193,338,452,888,252,051,413,731,
035,630,017,084,264,100,542,346,438,279,695,270,305,339,955,215,273,497,672,
607,801,440,485,820,331,071,380,742,450,684,912,586,045,802,582,797,135,387,
056,480,525,290,459,432,123,899,135,287,589,744,735,247,759,280,578,828,949,
441,625,185,916,813,794,222,014,940,462,623,842,344,352,800,780,665,864,912,
936,825,617,660,813,375,967,665,581,973,998,260,579,664,743,672,367,270,596,
527,237,298,349,213,139,800,144,247,677,328,077,103,999,671,695,398,449,018,
117,546,364,945,323,096,213,307,640,778,872,350,884,295,905,265,544,982,515,
354,282,406,105,356,980,749,420,342,159,487,197,509,240,889,157,971,213,822,
120,697,564,920,890,532,343,424,783,440,570,553,653,826,697,963,060,387,241,
880,284,560,432,771,290,139,420,641,152,111,823,947,339,658,872,479,590,224,
036,125,251,316,205,581,492,214,117,350,341,827,906,209,290,049,572,711,333,
923,761,473,094,239,641,623,029,590,194,857,197,330,228,817,938,026,272,329,
274,932,450,507,387,211,456,408,508,636,538,164,158,943,648,214,763,139,338,
509,927,000,548,952,867,635,474,378,543,823,493,309,519,140,722,717,195,858,
324,038,696,655,482,723,064,617,507,642,559,871,584,150,366,610,504,686,920,
368,958,876,264,844,429,991,663,412,876,867,962,587,322,517,479,293,757,738,
749,252,649,588,194,923,691,263,559,174,957,128,097,650,960,952,233,629,568,
985,724,929,719,367,263,931,349,904,278,588,019,369,083,340,074,090,157,931,
255,217,303,104,632,397,597,882,017,847,873,465,785,701,394,916,620,419,285,
620,815,320,140,368,616,171,809,280,770,333,061,198,049,007,716,126,507,641,
561,433,550,855,280,986,579,156,559,143,742,901,197,662,405,038,101,219,387,
140,990,150,945,678,860,728,192,462,325,871,525,059,457,728,027,363,606,712,
928,119,812,991,037,375,357,109,173,463,841,884,219,713,009,084,131,297,444,
422,744,346,483,000,334,717,424,358,407,739,244,137,285,894,816,258,276,384,
736,704,516,602,551,803,531,662,832,933,072,993,448,791,167,844,998,651,676,
701,396,526,137,680,328,564,233,787,862,672,276,248,901,935,974,471,609,052,
264,578,678,121,509,520,302,868,480,400,693,737,165,642,453,529,800,096,006,
247,237,546,710,922,448,346,881,188,112,135,443,984,815,301,995,726,406,596,
239,415,331,578,938,323,266,361,040,488,587,176,698,567,571,313,898,473,859,
595,650,101,038,050,868,299,716,520,586,771,386,864,440,093,516,564,342,906,
941,424,343,439,464,069,126,193,975,581,023,591,826,761,730,872,093,711,317,
096,124,186,839,847,666,674,838,310,001,345,704,716,853,513,392,175,613,467,
653,461,371,562,910,625,434,708,596,497,055,648,216,402,873,096,903,291,172,
734,600,885,515,189,586,490,956,629,107,152,791,373,829,623,544,490,193,627,
495,297,144,606,986,556,138,329,186,249,769,743,093,582,355,587,708,190,226,
312,696,735,601,482,817,058,315,766,310,895,797,377,458,488,917,168,827,985,
091,599,819,541,290,199,573,039,801,985,998,565,311,241,017,175,414,996,123,
562,674,970,173,404,425,265,307,408,341,218,490,462,787,391,994,242,582,661,
376,847,598,038,035,455,275,673,868,216,802,295,364,103,489,687,791,825,873,
180,003,279,041,914,460,129,701,313,341,990,294,365,933,337,350,265,835,854,
484,814,698,356,270,706,141,167,165,446,747,973,995,267,710,113,870,683,079,
156,724,871,148,090,408,480,325,226,705,551,972,989,772,071,856,108,932,101,
061,572,603,265,853,818,650,928,024,930,444,162,748,819,307,780,039,784,371,
193,950,707,295,747,958,787,516,851,013,193,247,567,060,096,967,434,919,671,
407,638,049,619,712,426,743,547,503,142,657,276,998,183,296,985,412,535,003,
148,489,544,031,938,817,599,797,415,982,938,051,893,441,365,791,026,073,415,
437,626,833,827,024,718,765,088,894,396,360,628,488,748,017,858,749,333,194,
164,276,232,629,699,263,708,192,110,660,265,821,421,873,122,721,977,096,744,
450,378,333,515,885,727,682,343,559,540,671,310,957,828,476,261,060,480,937,
566,108,002,192,554,514,608,743,271,955,951,990,040,752,835,461,673,666,264,
752,044,125,712,447,263,728,304,727,132,278,656,752,938,481,761,406,795,675,
280,886,942,260,644,141,098,784,001,460,930,195,853,828,298,344,670,378,785,
316,793,344,105,954,869,179,928,851,167,129,208,671,924,832,298,352,179,957,
479,737,211,183,082,954,243,457,151,675,142,051,886,749,835,819,889,739,127,
108,448,204,698,585,294,197,558,175,911,578,767,522,943,477,780,936,873,931,
305,779,080,229,312,168,497,285,214,502,533,763,314,538,397,088,519,224,959,
643,242,928,124,647,997,458,683,108,985,751,765,304,580,112,795,663,127,338,
740,098,790,455,027,734,737,062,697,424,808,895,511,958,146,027,945,183,955,
218,348,673,871,534,473,390,901,311,065,821,028,357,469,087,484,035,764,151,
830,087,315,513,444,961,037,365,444,329,941,001,673,114,056,018,764,338,592,
208,767,802,199,270,081,862,204,132,665,068,031,815,914,356,875,728,901,579,
747,746,576,675,763,570,298,286,001,000,757,332,749,437,794,253,413,489,706,
518,652,791,258,289,602,189,282,317,197,688,465,050,172,102,785,623,747,587,
056,643,536,862,651,878,972,562,544,063,463,778,553,824,445,598,334,471,939,
021,043,821,824,632,266,174,667,999,270,979,908,280,809,240,542,039,832,140,
017,760,837,581,893,743,251,680,235,856,765,806,421,467,321,476,185,426,436,
392,210,213,461,683,567,986,895,984,893,741,432,789,654,127,391,783,982,527,
567,974,564,756,930,059,048,209,622,079,470,307,166,037,633,299,221,921,808,
838,298,793,982,679,272,368,681,543,819,422,529,003,757,533,783,946,426,183,
368,508,642,902,495,653,412,050,376,763,656,970,540,090,306,407,786,801,514,
689,168,215,524,869,275,078,220,435,465,715,605,087,053,942,623,834,982,126,
764,155,433,232,126,616,349,007,594,531,190,349,914,168,728,048,761,266,180,
543,468,812,187,319,230,584,893,008,323,531,431,430,339,528,885,333,396,926,
756,903,608,915,980,552,744,463,895,918,374,932,218,937,011,171,126,402,432,
367,959,563,181,175,510,299,161,708,077,498,511,044,321,012,130,131,129,337,
893,154,577,760,316,543,381,795,591,528,941,607,907,885,281,035,346,897,318,
596,564,122,649,791,092,678,902,044,813,534,113,356,116,180,084,277,413,634,
110,148,086,225,988,302,038,271,853,686,190,821,414,444,114,859,038,173,231,
523,421,891,980,577,692,026,386,065,665,605,093,317,462,810,850,467,599,712,
315,995,956,895,586,929,851,108,738,941,206,321,345,998,180,226,581,362,414,
794,467,893,644,794,372,096,736,922,795,021,728,989,681,848,885,176,788,633,
747,204,159,941,957,120,431,629,830,967,494,893,452,923,576,821,670,126,677,
218,406,156,347,343,091,886,227,189,013,912,981,796,194,074,178,160,831,077,
388,436,611,341,798,606,290,799,919,260,030,927,139,823,468,649,220,435,202,
580,696,404,085,415,556,976,890,290,286,477,580,356,138,466,886,266,518,672,
203,488,576,446,995,295,983,518,400,019,237,917,131,297,084,217,609,384,725,
110,142,894,174,117,350,010,024,072,344,496,789,767,269,966,904,410,906,416,
576,909,933,534,085,249,655,523,352,354,831,696,205,669,642,839,306,712,633,
433,983,169,594,654,912,963,318,920,213,171,380,247,397,939,921,488,249,274,
105,210,659,367,933,511,512,149,435,829,875,868,910,718,630,530,710,731,415,
184,285,607,421,274,695,276,941,070,823,987,686,148,471,654,518,870,486,812,
663,344,563,307,480,962,751,882,312,879,055,420,543,438,988,931,921,582,009,
679,252,112,112,906,225,522,376,112,796,821,620,919,875,759,288,164,506,355,
895,375,130,408,978,562,838,275,009,400,965,784,998,187,668,334,270,682,801,
285,044,539,296,204,161,189,607,721,418,687,267,633,296,318,619,382,399,962,
177,458,185,073,146,010,462,614,735,714,249,060,454,861,396,640,990,868,555,
657,576,774,656,179,158,014,865,728,659,205,603,072,179,802,491,617,187,279,
074,653,510,540,971,738,691,970,237,630,566,357,757,145,637,118,507,456,539,
015,179,817,324,096,370,983,061,235,209,237,607,780,445,142,656,701,546,331,
710,214,767,752,983,291,009,998,535,440,793,827,163,872,522,721,878,361,470,
704,191,226,026,836,121,979,281,824,286,260,281,674,468,602,956,748,844,083,
089,142,230,026,491,842,182,536,614,763,597,823,913,667,088,155,894,183,168,
004,895,969,414,831,419,563,002,120,094,549,417,707,388,935,005,159,300,909,
555,848,470,049,335,328,565,899,549,920,108,163,578,090,787,575,562,643,418,
628,688,241,730,151,382,452,147,071,623,578,990,542,067,348,776,809,470,852,
504,671,902,855,541,097,316,730,894,995,632,158,219,854,029,791,881,391,704,
422,530,899,549,708,538,206,971,194,526,403,706,544,186,139,066,819,494,884,
001,349,199,593,549,624,335,123,225,642,641,330,291,245,659,932,171,149,018,
508,550,020,590,349,839,675,042,656,280,111,216,669,847,175,970,527,596,560,
791,998,765,151,510,401,437,337,086,104,324,793,096,757,876,640,450,807,557,
701,602,448,536,799,824,029,600,634,354,489,812,983,552,310,701,009,143,218,
458,154,326,801,110,862,984,215,502,399,808,718,878,392,767,463,764,600,613,
854,107,985,933,630,520,871,469,313,369,812,995,343,017,535,575,590,546,395,
321,055,587,224,263,959,547,592,464,183,637,629,339,591,765,107,892,983,976,
229,245,100,726,983,435,279,530,110,776,630,430,550,583,586,808,609,159,928,
898,477,914,186,085,351,552,874,555,330,857,132,882,777,115,935,932,539,066,
595,840,048,388,965,930,475,221,976,257,214,315,379,460,586,641,038,832,878,
402,760,589,882,675,195,197,541,953,367,397,956,479,409,734,841,602,717,465,
017,699,954,943,489,941,212,580,222,399,438,642,484,653,841,326,715,406,116,
973,965,630,596,579,103,308,125,832,626,303,024,407,742,668,913,074,666,101,
123,435,463,978,856,920,181,015,202,322,878,994,619,307,872,031,199,210,822,
920,653,882,921,293,119,391,895,101,209,185,418,042,149,929,413,890,532,416,
391,295,495,088,614,582,094,292,856,915,896,668,347,625,326,236,912,336,397,
071,818,495,283,264,196,711,016,381,944,153,394,448,648,933,570,644,376,048,
813,467,656,183,935,338,585,572,338,830,939,323,691,142,914,167,154,041,489,
380,569,049,591,571,275,074,965,812,937,032,330,431,591,653,024,931,592,166,
730,904,262,900,735,392,911,517,672,368,169,855,554,665,495,192,440,062,224,
623,874,286,850,099,193,028,770,758,527,446,228,661,182,655,826,991,754,595,
736,732,965,739,217,890,729,677,959,621,546,597,417,365,232,729,171,438,411,
704,445,702,607,946,486,525,001,608,776,089,864,385,876,683,772,093,091,561,
228,702,377,637,040,879,659,328,210,712,678,914,856,776,714,975,405,788,349,
839,400,851,527,026,747,831,925,598,528,156,955,563,392,685,732,204,555,601,
220,319,550,546,235,017,564,752,622,365,973,808,995,016,412,551,252,739,989,
532,271,924,599,276,683,082,415,718,842,857,938,227,087,760,891,753,818,967,
766,513,242,346,414,356,863,126,607,013,010,998,413,301,233,919,148,940,546,
113,912,430,740,004,877,727,115,367,911,292,972,412,822,328,361,218,963,518,
544,763,328,909,009,247,020,589,193,813,029,914,378,640,748,576,925,752,398,
452,533,202,763,460,276,474,365,421,878,028,605,304,135,191,344,816,355,733,
731,998,932,278,234,404,694,015,994,962,979,463,967,294,358,989,347,320,102,
194,436,681,465,977,114,671,343,753,450,193,489,956,882,277,739,612,522,404,
570,793,184,603,469,156,395,301,244,140,825,114,927,780,289,114,022,204,775,
355,058,219,466,751,053,639,707,390,789,869,741,036,609,474,676,547,284,711,
930,218,310,933,370,831,701,653,368,511,481,458,750,121,748,250,364,884,213,
994,552,806,619,704,101,916,671,017,947,322,579,250,501,163,384,093,920,316,
883,280,726,128,138,255,264,816,580,897,040,880,741,800,152,577,839,916,323,
929,198,503,608,959,119,961,793,086,334,518,294,158,997,250,930,474,485,480,
484,467,164,750,493,860,723,188,841,872,714,820,834,075,810,996,034,432,504,
592,941,017,706,241,108,648,554,517,995,012,304,561,683,348,327,638,597,227,
241,094,270,476,534,363,144,663,290,460,823,176,105,054,028,967,407,809,204,
213,463,422,242,562,420,455,423,088,409,385,870,740,354,284,668,531,129,860,
224,908,608,512,259,531,852,501,724,575,260,033,025,769,318,308,624,619,625,
520,998,371,574,562,148,034,217,271,392,124,052,927,233,057,359,986,159,060,
083,095,769,805,805,665,713,003,228,742,985,899,641,966,651,297,388,956,200,
818,415,686,604,207,110,616,419,659,332,562,938,365,621,726,568,376,350,946,
848,321,283,110,746,588,524,859,694,320,932,808,562,937,591,766,738,772,738,
067,154,278,447,487,706,935,693,413,373,377,709,723,147,989,169,732,666,479,
026,421,807,784,329,753,913,824,289,584,882,647,880,319,594,360,997,650,257,
701,362,320,370,073,902,613,346,295,503,000,828,913,480,001,155,182,508,695,
520,326,574,062,010,010,289,408,587,999,947,417,720,611,061,147,451,880,301,
199,214,348,068,157,171,624,132,910,330,370,524,731,028,240,193,745,272,419,
911,466,042,788,860,736,624,985,503,481,734,581,406,198,230,560,906,023,145,
918,825,193,596,688,014,813,586,973,762,925,850,438,935,459,697,496,115,261,
622,796,042,203,819,568,532,925,410,918,752,486,161,997,019,994,009,918,597,
446,511,647,455,921,438,131,184,880,933,513,990,216,245,321,309,770,324,678,
408,342,820,832,720,911,707,662,977,901,835,323,200,791,435,047,250,096,845,
016,826,291,725,244,173,262,571,221,503,324,296,582,381,007,327,501,201,707,
866,117,844,571,355,726,557,540,196,165,205,086,155,961,315,295,552,093,106,
311,658,853,082,852,968,021,955,816,882,060,617,454,391,872,273,833,664,754,
918,460,463,518,549,599,584,896,867,423,053,924,681,126,582,905,813,696,738,
460,566,728,490,179,039,903,193,371,879,778,368,223,229,965,544,710,600,212,
245,948,353,260,019,535,215,006,161,827,204,874,314,007,934,551,279,052,217,
111,535,312,174,542,460,048,559,756,490,977,729,438,370,097,428,887,929,574,
743,822,609,806,009,594,842,635,277,655,836,255,406,351,095,312,164,988,869,
879,542,764,515,245,735,460,864,230,908,355,902,544,499,721,742,011,743,428,
238,055,945,047,792,495,506,746,265,619,470,134,247,319,469,950,952,320,343,
849,163,598,312,286,375,675,350,317,645,792,202,257,373,958,927,625,441,525,
000,969,463,749,306,997,811,843,344,092,026,428,371,167,021,807,842,538,564,
835,969,553,784,645,382,901,222,950,901,070,766,862,059,163,014,631,348,370,
302,020,111,842,048,545,443,287,072,800,871,140,468,504,371,556,355,249,761,
037,352,053,774,719,326,377,529,007,322,638,519,020,586,676,387,633,513,252,
876,123,542,965,991,452,111,863,487,981,887,887,967,537,189,566,758,845,378,
018,952,857,600,540,269,942,541,181,154,601,810,282,016,026,066,968,381,009,
291,716,585,642,525,726,213,959,041,861,810,689,515,520,470,185,016,482,332,
663,576,331,422,408,245,576,368,171,174,288,675,936,812,125,774,175,135,859,
617,198,386,578,560,256,567,134,505,049,555,086,707,066,300,235,482,877,449,
043,392,294,754,485,070,396,821,120,010,166,161,580,158,222,369,712,181,719,
128,730,831,005,920,000,780,671,010,943,192,243,915,952,852,079,899,430,661,
868,290,193,331,545,185,101,419,721,439,234,298,171,779,605,647,210,462,963,
846,882,537,313,897,595,080,290,041,509,145,479,423,007,804,304,267,970,164,
710,659,248,813,613,750,505,327,147,180,026,177,259,269,403,771,111,827,809,
493,211,323,606,635,668,404,150,596,137,008,400,657,520,667,482,882,637,916,
640,948,467,302,823,331,233,994,220,052,902,981,261,330,072,380,127,562,923,
056,372,094,214,398,989,034,136,330,073,478,977,978,990,462,457,494,652,955,
265,743,424,237,518,822,268,424,937,801,269,809,424,249,556,704,170,785,937,
445,935,511,727,784,449,550,566,870,724,200,403,573,705,025,024,444,964,623,
775,334,877,046,928,594,727,000,135,069,865,161,743,824,899,919,710,643,751,
247,836,785,458,093,947,103,651,778,777,466,861,801,627,679,450,732,183,336,
763,913,170,333,093,996,443,619,313,530,882,963,198,883,514,495,885,443,960,
429,570,748,893,767,402,881,034,400,368,828,717,743,172,500,535,725,852,866,
861,483,779,595,122,247,143,120,722,105,748,276,344,272,243,646,521,729,604,
379,471,200,240,576,127,601,375,008,854,231,113,592,420,365,628,757,877,008,
199,774,533,764,044,480,437,040,812,520,704,321,031,459,788,974,119,997,026,
130,765,596,689,560,806,283,039,021,137,035,040,112,997,420,524,143,349,955,
054,751,301,562,017,036,733,392,708,559,282,631,901,199,242,782,393,685,313,
393,677,578,161,699,125,411,425,348,193,522,015,470,518,224,647,040,389,500,
719,522,737,336,389,426,985,038,382,767,067,924,205,641,701,856,925,155,434,
818,939,348,505,198,519,559,503,080,210,601,938,780,780,313,718,695,832,874,
784,875,087,017,879,954,497,513,114,831,149,731,516,939,063,944,293,612,830,
309,479,014,779,272,374,195,370,893,884,569,957,949,349,211,991,474,979,887,
189,499,181,814,896,574,240,121,116,787,032,803,602,639,721,603,055,456,141,
980,377,801,165,716,694,848,173,240,256,799,180,530,439,311,446,169,844,626,
901,464,007,241,230,477,051,025,850,726,228,517,071,647,877,077,630,924,841,
903,104,823,779,332,855,787,249,814,484,061,375,204,037,725,815,412,451,873,
673,534,302,284,104,037,890,950,910,257,211,719,364,807,223,524,646,350,089,
662,626,108,719,321,807,781,324,897,664,841,889,002,811,615,261,189,511,116,
294,910,608,046,231,373,081,111,625,980,564,983,181,509,381,827,102,117,618,
309,632,430,448,107,868,661,976,382,904,782,730,361,174,742,980,117,868,905,
385,129,720,239,068,293,359,244,490,037,546,263,245,765,455,481,409,676,121,
518,388,036,565,519,440,240,682,005,625,603,723,509,373,470,471,879,934,694,
617,925,619,173,075,652,898,830,505,345,054,006,799,902,935,036,093,857,897,
698,411,912,936,681,213,153,574,075,740,623,058,515,307,143,694,633,443,826,
102,583,890,814,641,116,926,934,647,034,266,753,984,729,542,309,832,512,946,
748,310,666,463,238,525,453,412,062,015,818,563,533,992,971,519,915,972,693,
071,020,693,347,159,138,044,896,009,450,125,656,336,912,294,454,894,607,339,
497,142,809,211,247,103,012,159,488,431,990,162,372,809,839,005,127,988,599,
520,151,029,922,164,274,884,046,559,770,668,241,616,214,788,465,001,203,850,
664,189,594,066,640,625,715,316,037,847,288,063,779,425,983,041,964,307,549,
586,611,763,822,325,652,182,722,595,519,024,737,596,707,172,675,290,249,015,
983,066,849,974,715,227,851,863,510,849,106,151,363,371,185,443,699,003,959,
066,274,986,217,967,423,783,448,822,760,639,097,036,197,725,995,711,508,792,
528,571,832,406,165,743,003,542,317,022,133,076,475,199,910,939,626,544,934,
896,488,807,778,479,427,526,515,429,623,846,154,294,254,383,831,887,064,871,
159,876,771,079,905,938,481,439,706,817,290,148,948,041,343,116,878,074,270,
386,437,344,901,759,361,542,828,586,537,893,087,934,716,444,121,033,026,953,
296,353,611,495,006,715,487,058,857,041,235,815,309,848,406,105,692,379,923,
214,187,126,684,014,385,671,474,805,899,889,672,738,686,053,946,844,442,897,
472,288,568,643,896,344,396,248,986,897,525,268,876,496,973,939,947,495,419,
943,878,724,640,630,827,487,467,091,601,938,421,340,944,129,394,338,627,935,
312,631,099,524,686,558,503,823,549,440,145,258,098,699,188,798,916,134,187,
887,639,413,947,718,777,167,687,535,668,811,102,835,875,684,360,451,995,457,
529,911,884,268,806,966,740,676,660,093,487,534,644,613,288,291,933,429,314,
602,887,918,584,815,678,956,198,810,210,047,527,043,551,251,376,438,561,788,
377,216,698,893,507,567,604,267,136,366,626,480,194,412,745,558,643,500,708,
731,789,849,543,856,428,561,375,455,297,103,684,806,306,374,335,466,960,685,
026,201,099,613,716,776,520,496,053,495,563,808,884,952,672,512,347,434,871,
614,588,877,634,637,316,358,109,225,658,371,688,817,796,925,379,316,286,132,
900,215,242,141,854,629,344,657,539,602,219,141,744,548,830,683,526,716,769,
563,710,515,998,491,374,838,079,716,038,990,931,822,860,832,205,795,134,474,
207,145,863,808,011,796,532,010,132,914,934,407,016,421,493,600,258,340,925,
487,820,140,528,611,483,326,828,307,532,849,313,894,093,607,527,682,532,914,
899,532,159,487,765,350,509,849,256,310,641,268,209,027,942,968,079,628,770,
226,027,560,493,621,810,939,042,561,194,717,468,438,619,636,265,339,775,739,
177,272,815,699,936,440,780,502,180,910,428,989,896,063,756,868,905,679,960,
250,986,335,462,653,544,430,161,187,010,053,227,127,494,367,488,691,203,020,
512,310,563,535,154,997,460,867,817,598,799,670,408,760,547,439,383,858,767,
145,550,609,922,777,837,160,747,906,771,127,270,515,711,093,657,757,579,360,
307,868,882,379,565,215,449,164,428,685,334,612,156,088,636,728,621,129,372,
601,148,004,668,903,446,974,341,784,478,857,130,586,421,028,679,497,525,179,
269,118,285,827,806,110,001,429,262,212,427,068,645,813,759,649,990,709,657,
030,289,774,267,657,200,687,781,727,715,251,222,999,867,898,399,897,191,249,
981,276,388,348,093,428,890,651,363,749,048,731,569,051,853,580,214,452,395,
198,562,826,060,957,622,796,224,358,953,815,232,616,939,299,033,457,131,489,
599,889,495,545,086,997,403,900,857,751,187,809,504,271,817,759,118,186,987,
473,610,815,191,282,423,692,605,623,166,721,223,282,694,466,122,293,694,541,
994,007,384,436,692,762,517,890,237,914,451,862,307,897,682,814,231,222,055,
874,808,865,361,679,137,236,052,060,250,325,234,638,954,322,045,810,757,311,
124,438,146,427,887,169,891,220,058,735,925,237,147,769,788,858,400,294,623,
587,190,470,473,115,818,411,062,788,974,235,122,421,681,082,651,523,259,171,
202,952,185,953,681,446,329,625,503,300,324,622,957,764,534,795,388,461,399,
971,964,333,606,974,066,550,675,910,064,701,778,748,968,865,419,807,184,938,
617,941,585,525,213,079,361,591,902,178,134,013,575,441,782,178,983,092,637,
403,764,470,855,886,917,902,757,301,712,005,903,203,016,095,023,039,050,623,
607,471,068,975,419,584,682,501,134,654,243,072,542,381,686,665,370,649,260,
980,338,866,793,907,035,866,316,214,742,028,341,776,096,035,473,354,396,501,
055,102,331,210,794,455,244,933,131,506,817,223,398,138,812,889,605,226,859,
969,387,940,223,087,546,198,047,597,936,194,799,327,386,728,087,755,350,644,
887,845,037,359,211,312,524,272,539,764,584,881,936,504,086,937,478,670,019,
376,679,901,379,260,989,842,639,209,656,740,594,894,302,274,140,127,045,890,
396,735,537,491,707,137,583,604,623,797,466,348,543,337,485,876,722,105,612,
198,504,277,995,541,538,163,200,978,890,904,168,148,480,793,522,801,129,703,
497,235,997,193,285,984,442,271,290,543,644,811,577,941,959,174,369,560,038,
653,279,525,063,074,731,564,541,614,086,254,803,163,159,317,676,885,386,334,
204,751,652,888,772,513,728,566,092,737,930,147,070,400,929,616,967,280,896,
478,343,463,867,701,758,181,864,494,507,699,218,473,836,296,348,130,356,749,
508,811,775,557,584,198,050,357,134,575,800,378,850,449,680,552,739,862,751,
552,249,075,744,939,961,445,197,118,160,056,593,806,304,445,325,605,351,070,
500,656,451,695,000,150,955,894,921,981,173,517,419,517,153,511,179,063,061,
665,601,477,692,947,733,267,017,346,961,260,159,566,804,040,076,325,494,265,
876,597,895,844,324,340,150,243,822,158,875,673,985,369,011,722,533,866,283,
045,348,269,182,231,944,872,855,171,889,840,212,368,086,982,641,933,389,240,
537,394,181,707,084,019,984,759,221,177,661,682,837,594,489,402,610,463,493,
153,109,438,003,872,918,436,960,293,264,631,284,540,168,686,095,357,312,039,
002,369,466,733,081,423,839,699,511,911,006,857,768,483,147,775,468,836,141,
062,822,990,702,959,276,629,844,168,942,686,630,481,119,209,717,661,379,201,
222,997,757,967,738,135,703,041,348,691,698,364,404,714,115,176,061,879,898,
769,455,077,037,812,922,176,547,635,254,783,626,652,982,142,577,671,251,928,
638,054,973,927,448,761,140,095,584,976,338,319,184,509,478,009,135,485,257,
601,413,275,326,977,253,395,393,195,916,103,105,001,179,002,093,267,163,088,
512,229,895,427,954,530,624,666,532,408,743,046,065,021,996,694,676,658,949,
951,883,242,796,206,908,195,507,122,017,942,911,064,649,424,637,696,190,080,
179,991,880,499,702,117,536,181,800,559,397,530,209,733,310,698,218,213,394,
532,170,423,161,142,012,678,508,065,025,543,404,007,899,494,306,328,307,573,
177,934,474,412,322,144,839,431,594,030,842,656,504,222,276,555,197,131,368,
082,117,232,540,118,125,244,567,960,972,352,347,601,930,679,290,900,145,787,
418,124,593,846,322,704,029,344,823,113,482,005,259,072,308,596,116,336,572,
609,031,769,382,586,748,114,762,170,072,706,907,095,528,083,884,774,855,492,
646,740,979,780,868,761,339,611,332,684,151,243,774,758,460,278,082,382,690,
402,181,776,236,137,687,065,332,887,935,567,398,832,331,164,257,114,572,040,
728,906,469,305,884,504,810,902,497,675,909,544,513,120,952,004,065,992,488,
191,530,865,448,703,402,149,014,148,215,757,976,213,224,091,130,768,577,793,
986,685,439,042,305,694,531,330,398,666,646,290,789,656,686,985,238,373,056,
096,929,674,976,056,304,993,023,123,965,985,460,516,905,479,607,597,146,548,
257,843,513,412,369,703,317,437,573,657,805,131,270,763,602,668,679,112,551,
800,778,530,830,310,465,088,991,866,641,199,725,121,300,667,932,250,381,034,
982,901,863,405,130,034,235,400,044,787,680,259,720,304,733,156,162,052,489,
730,145,067,792,599,960,647,357,812,275,471,991,939,400,492,356,186,682,489,
011,438,823,723,222,620,051,118,571,415,116,862,186,488,005,613,578,853,146,
958,653,157,434,775,961,832,352,478,183,795,201,484,794,110,262,529,162,986,
725,095,144,141,147,176,872,385,673,511,975,443,359,620,258,442,549,583,628,
266,488,287,607,096,478,619,098,308,487,266,713,744,949,715,787,782,834,869,
805,823,081,217,179,647,126,765,329,587,211,287,468,128,911,061,733,054,455,
150,541,009,296,733,043,064,570,115,916,607,482,305,856,310,368,950,296,629,
333,010,007,070,652,436,747,777,315,928,024,077,703,700,362,441,987,934,281,
640,767,366,080,148,014,843,593,355,630,287,416,871,118,909,170,678,329,656,
929,964,021,208,841,986,389,485,201,829,395,662,257,780,715,734,705,206,940,
658,133,816,623,233,220,045,462,081,547,293,925,759,956,230,733,328,971,955,
965,139,559,226,817,432,032,064,373,420,063,061,671,345,459,615,650,597,576,
081,091,177,771,709,749,113,585,434,714,895,494,870,232,486,974,413,150,562,
411,692,005,386,754,228,777,989,961,283,272,810,542,221,649,077,405,327,724,
183,142,133,890,202,146,718,463,021,161,950,576,050,803,205,641,733,523,907,
918,579,174,533,074,299,826,563,709,158,737,636,376,152,298,740,027,168,669,
752,704,670,083,148,184,928,546,309,623,280,098,713,753,096,670,768,537,677,
817,848,092,940,717,744,156,997,750,309,292,193,768,092,298,694,709,430,865,
273,587,478,929,221,919,042,402,711,572,470,144,887,063,339,027,218,922,447,
369,095,344,581,954,005,528,790,830,623,781,277,019,211,785,317,133,790,042,
085,819,694,674,346,240,512,126,980,047,163,994,883,946,759,893,958,764,064,
166,344,128,608,807,421,633,544,548,028,208,246,596,124,537,570,278,420,275,
262,474,979,861,298,727,490,418,870,460,640,256,381,946,819,173,259,245,560,
498,175,347,980,699,595,301,215,705,657,551,339,608,583,763,238,395,433,539,
406,538,921,851,756,386,509,938,847,381,010,197,454,769,286,761,767,208,312,
533,286,277,975,943,874,981,320,178,908,002,509,920,966,254,837,506,987,098,
150,675,435,582,671,170,273,552,957,432,086,860,011,582,842,519,776,485,924,
411,835,606,604,704,118,829,134,445,708,034,542,365,294,689,655,790,956,140,
049,710,102,141,998,910,904,165,280,453,250,919,968,851,812,081,811,515,462,
128,844,882,796,492,057,239,677,827,494,229,306,206,712,812,289,577,698,770,
959,156,601,797,163,850,080,979,224,640,718,731,338,061,572,752,212,433,195,
801,767,688,823,940,361,747,209,082,110,490,831,333,368,163,560,321,862,648,
887,148,938,164,093,085,828,087,060,427,253,488,918,399,707,113,747,443,941,
967,057,721,192,025,799,491,958,351,941,928,057,127,415,399,312,881,456,990,
218,224,215,335,988,669,653,064,445,764,310,832,402,670,363,797,253,966,939,
414,643,122,982,513,007,494,316,973,369,096,133,493,614,212,403,321,250,424,
511,921,386,552,855,081,876,740,223,342,993,063,403,243,552,731,773,727,827,
337,350,177,468,997,280,473,480,657,405,376,786,044,642,047,576,912,791,926,
522,519,765,295,594,513,152,588,597,627,280,063,405,234,576,104,543,258,182,
526,031,572,564,069,414,091,036,991,462,009,041,659,071,866,169,893,865,436,
082,076,677,562,858,445,369,130,475,295,972,314,858,449,226,076,568,391,107,
593,224,597,662,659,773,655,779,585,101,520,399,650,101,937,920,299,002,358,
339,382,279,649,161,903,611,717,834,721,816,377,887,444,613,765,710,854,506,
792,646,623,248,094,678,099,034,159,233,455,188,036,673,232,406,564,858,363,
049,765,854,559,586,992,820,093,505,959,236,271,002,474,615,905,772,119,275,
311,550,383,636,037,609,816,604,126,752,543,485,760,791,935,890,801,372,222,
055,863,483,969,666,845,816,065,929,149,869,199,471,546,647,040,263,137,024,
954,861,080,473,444,044,048,374,543,809,031,874,335,782,988,314,559,593,174,
467,506,701,906,762,771,730,139,358,089,244,338,707,946,134,267,362,346,931,
462,919,009,359,907,424,254,313,137,520,500,953,598,073,054,715,407,464,139,
429,454,691,208,286,240,421,992,470,625,889,049,969,250,482,685,825,976,210,
482,572,109,165,232,001,664,204,695,815,268,860,203,745,818,784,485,198,420,
124,049,280,180,133,141,986,252,952,285,800,283,427,463,784,161,209,946,221,
295,632,006,383,893,405,662,851,073,516,518,357,139,029,685,862,614,625,109,
882,318,670,496,281,773,657,896,232,945,022,353,617,996,827,180,446,586,096,
325,325,652,655,320,988,491,917,708,304,209,008,576,163,384,957,807,808,855,
075,149,310,121,780,503,651,629,133,832,375,614,259,523,079,289,704,797,631,
334,335,554,681,422,038,541,770,461,924,650,199,833,571,900,183,360,478,872,
923,935,558,791,909,049,041,160,436,600,802,777,308,766,591,671,450,884,581,
116,939,173,258,462,252,355,564,939,156,256,994,426,579,640,092,840,780,578,
182,215,909,856,035,905,945,904,748,803,895,009,527,109,924,018,928,937,549,
988,348,529,113,034,544,400,554,416,459,366,857,773,868,960,241,365,148,403,
972,740,157,371,182,719,943,709,020,072,355,731,900,068,419,186,457,389,136,
350,849,013,770,084,504,441,525,121,411,916,288,187,913,912,494,047,868,507,
419,908,923,201,405,711,489,361,835,744,877,813,989,829,201,519,548,768,429,
466,495,090,468,519,646,350,062,746,312,726,938,115,913,216,662,279,973,973,
685,755,768,604,659,311,720,665,384,259,414,515,423,007,682,145,176,184,618,
700,555,544,289,675,980,028,130,951,655,118,046,903,049,597,213,602,742,526,
721,176,731,341,091,766,818,781,223,746,722,698,694,224,074,482,637,237,585,
965,881,608,930,972,157,961,084,693,340,165,023,977,922,503,082,384,184,262,
774,318,966,007,875,247,750,476,827,817,143,691,538,060,666,658,129,024,493,
052,942,983,429,888,016,459,431,279,199,661,369,268,556,507,537,496,890,561,
644,217,854,670,457,251,332,728,851,603,795,759,201,596,106,821,565,433,588,
011,807,076,600,313,450,592,350,056,537,807,146,852,008,677,174,998,250,193,
692,302,445,778,221,092,765,380,677,836,333,456,366,111,345,863,145,488,924,
263,635,808,436,362,534,563,191,311,418,881,198,824,555,082,847,788,854,519,
137,478,714,582,135,905,810,617,760,274,665,174,746,310,280,957,190,249,495,
957,372,215,254,520,009,350,964,278,182,417,625,595,351,663,102,034,875,692,
464,039,688,181,577,339,634,712,737,726,430,471,019,049,846,545,649,481,560,
691,261,274,811,604,593,100,659,022,157,426,280,220,326,687,321,168,358,448,
240,247,967,347,303,512,764,197,526,626,469,679,806,424,901,338,047,854,402,
295,236,266,602,041,277,183,922,534,708,733,865,009,700,455,265,643,334,931,
985,336,370,914,094,417,487,438,590,751,581,247,149,301,070,767,843,876,904,
575,119,916,619,706,446,945,577,035,725,044,169,730,755,838,111,125,392,460,
167,113,891,207,234,553,911,639,068,594,931,910,948,174,730,839,595,224,717,
867,619,716,773,600,500,734,433,694,314,876,971,533,681,609,340,372,747,974,
480,352,613,938,841,039,270,438,777,538,468,174,077,870,037,221,438,477,036,
308,262,376,497,297,921,234,329,947,230,571,290,434,316,970,687,545,940,939,
330,990,576,075,038,183,253,343,394,951,830,949,366,184,335,605,429,427,348,
263,097,599,083,733,617,686,063,163,259,523,612,421,088,587,929,658,496,549,
113,254,701,601,362,888,051,128,283,030,136,508,813,290,188,344,827,845,979,
655,158,651,368,340,876,290,341,180,551,749,100,361,825,955,653,302,185,076,
349,409,603,435,726,265,976,277,696,704,152,804,617,195,168,076,413,841,833,
781,084,750,186,428,352,141,842,063,614,419,275,708,029,179,841,296,013,503,
769,499,662,829,982,600,856,916,999,834,062,674,918,271,995,637,736,877,912,
399,596,313,056,114,258,178,265,057,693,453,130,419,296,987,007,225,595,615,
190,040,546,313,338,024,995,773,607,800,988,519,652,804,433,894,334,696,513,
752,790,814,755,799,169,841,352,711,670,810,028,634,504,586,241,516,913,502,
510,339,774,920,131,728,269,997,905,532,305,208,011,589,558,456,363,030,553,
753,814,514,090,170,480,332,782,918,993,804,842,270,236,616,144,756,283,810,
643,494,956,219,523,862,886,788,646,059,498,535,752,969,491,743,195,265,684,
671,374,521,267,673,352,816,256,735,079,315,784,268,289,373,958,904,393,467,
346,176,679,417,768,955,840,426,469,028,938,772,327,812,351,962,651,627,749,
613,355,004,714,847,258,129,692,428,647,326,552,647,501,193,230,474,183,390,
741,925,935,863,329,858,936,975,051,757,312,111,517,783,933,144,440,850,312,
062,463,905,282,614,114,128,486,168,402,333,668,162,314,173,801,871,050,865,
004,102,074,089,372,591,704,752,597,523,593,972,834,434,785,657,998,460,196,
689,176,013,655,883,605,718,117,184,476,050,282,353,796,374,497,449,162,408,
829,963,024,040,438,385,789,548,853,455,895,489,315,154,354,050,166,234,168,
678,691,710,694,597,044,127,351,810,595,391,976,660,124,383,865,549,854,461,
164,701,995,101,516,732,924,246,712,388,187,616,392,789,678,228,893,328,522,
433,719,197,669,228,011,033,419,215,441,604,393,667,658,625,162,968,443,401,
282,106,810,459,913,090,458,913,418,941,562,663,316,848,412,592,245,582,260,
044,497,497,084,357,358,626,773,547,992,087,928,157,931,945,122,990,015,736,
304,093,505,965,426,693,401,906,148,463,643,317,423,428,868,690,032,225,209,
036,872,367,302,546,243,014,735,373,919,979,605,555,036,656,080,805,147,868,
782,457,982,644,107,254,929,262,244,616,592,813,107,417,024,991,519,019,391,
115,630,302,275,641,822,518,025,535,730,162,691,248,576,237,646,977,784,191,
367,863,578,116,527,514,919,658,693,679,092,827,266,653,945,986,464,445,099,
482,707,238,474,255,883,181,589,853,464,248,997,020,955,723,180,743,474,650,
742,979,939,668,812,701,454,663,278,150,333,268,421,984,760,366,756,070,107,
791,525,705,627,209,590,727,559,016,260,917,211,242,910,111,973,711,992,300,
098,416,756,114,342,396,886,327,502,167,510,533,671,445,343,296,276,735,607,
130,914,172,368,530,090,306,022,366,844,045,559,849,568,684,584,775,425,234,
681,664,921,592,427,829,354,355,260,862,427,514,647,944,155,669,779,486,937,
508,604,459,487,063,041,157,988,733,389,598,579,710,273,835,032,453,070,031,
524,847,321,788,887,884,241,311,201,334,744,635,585,506,459,809,017,680,126,
635,115,039,690,144,628,804,850,857,301,304,546,781,040,971,517,109,510,735,
703,037,386,948,908,157,832,251,748,724,959,425,034,009,537,680,605,900,240,
539,207,551,209,383,559,079,131,072,680,681,662,548,714,171,079,164,497,743,
641,798,469,700,764,483,208,240,760,808,280,935,988,541,472,675,622,736,829,
835,435,776,974,948,464,830,031,116,959,632,527,447,021,558,247,036,018,140,
818,309,177,759,974,834,257,157,215,579,159,595,822,227,243,669,838,370,174,
396,410,730,703,034,985,226,224,990,519,219,705,248,324,694,156,598,169,780,
388,909,748,674,614,698,805,089,038,685,686,833,392,691,460,120,231,803,459,
643,954,004,260,349,598,232,609,841,164,306,890,170,417,850,539,244,597,828,
466,235,038,034,230,008,662,631,114,585,928,656,200,828,876,763,868,135,269,
924,951,845,277,057,704,838,286,361,135,434,314,123,024,260,432,449,524,944,
481,775,902,192,431,628,722,841,592,919,670,649,534,791,228,491,758,874,524,
013,931,196,490,481,954,867,588,231,514,361,393,326,803,188,014,018,712,615,
564,246,656,337,503,190,819,905,392,769,898,584,522,414,310,120,907,742,265,
457,801,398,325,883,653,291,683,471,678,979,447,809,565,330,363,517,870,129,
851,462,492,301,847,114,964,124,754,906,944,546,785,271,443,188,125,503,496,
033,380,188,674,195,029,380,944,262,362,654,350,904,435,330,796,568,644,781,
603,845,172,952,949,598,659,668,959,723,084,453,783,041,324,210,119,786,348,
102,308,236,227,661,388,224,753,331,282,515,614,701,646,584,268,317,798,323,
296,027,007,985,992,580,759,773,323,034,320,859,951,900,146,279,985,775,359,
280,000,584,553,813,582,945,048,687,594,523,151,635,657,990,973,880,986,262,
037,864,238,590,608,714,169,151,194,792,441,100,116,388,186,859,424,029,931,
969,822,667,654,503,980,296,466,552,961,123,552,396,500,519,049,547,280,065,
400,907,277,620,364,061,299,280,693,773,889,321,906,095,552,201,267,888,870,
236,573,856,474,659,561,494,697,965,224,156,191,775,272,830,331,452,991,788,
275,267,440,847,625,330,996,930,899,264,578,626,353,111,462,876,032,432,752,
881,835,899,875,746,121,024,563,230,252,728,488,592,906,307,855,495,941,821,
313,637,651,694,213,474,331,548,787,681,837,583,995,798,773,242,719,969,383,
903,102,315,140,874,051,558,169,008,302,130,033,334,959,841,404,908,415,266,
096,165,126,249,229,730,473,362,006,359,400,965,531,105,816,658,506,358,987,
615,893,530,681,157,534,446,889,156,681,479,720,057,252,516,858,107,126,111,
292,741,202,754,918,190,619,581,973,813,535,323,834,241,000,621,250,520,848,
634,803,519,056,451,781,694,816,037,041,910,052,824,067,421,486,414,117,870,
412,645,802,228,762,657,674,837,465,751,530,555,999,006,685,062,393,265,465,
586,188,368,686,706,980,771,730,070,822,293,924,278,837,333,030,294,517,618,
049,685,341,728,899,728,943,120,897,923,716,610,447,274,537,897,403,332,081,
129,276,651,456,655,498,270,122,622,291,539,986,906,192,940,736,697,853,938,
711,123,359,291,110,109,606,919,017,008,083,276,123,092,777,596,540,373,119,
075,008,096,802,991,749,278,089,126,388,479,759,040,740,233,350,098,656,840,
805,181,542,512,012,727,585,011,844,570,800,811,038,410,810,426,656,906,346,
057,950,695,306,797,556,812,083,216,780,168,962,052,718,098,539,664,982,261,
243,089,169,059,445,722,644,594,790,985,206,207,578,175,521,365,655,955,944,
156,326,369,489,287,900,848,236,695,195,427,561,800,692,473,194,057,660,682,
197,958,878,643,928,658,436,764,004,314,851,035,849,711,163,638,325,656,249,
152,599,815,436,503,445,375,277,041,931,095,914,708,163,156,827,683,347,139,
588,077,139,206,085,339,679,078,456,215,532,983,785,263,151,160,207,424,437,
237,775,406,577,594,779,841,540,233,282,453,435,696,642,493,482,576,530,908,
899,706,688,384,478,620,583,905,037,659,013,865,320,913,104,392,953,237,553,
583,262,926,499,290,073,176,885,012,214,843,155,212,292,545,800,681,301,328,
491,911,225,913,202,831,706,160,327,236,266,251,301,375,388,587,871,993,407,
905,271,276,111,436,255,082,386,624,751,866,779,515,531,092,250,306,720,785,
059,800,817,242,249,013,964,199,175,542,065,745,613,649,322,233,026,444,729,
904,852,473,927,089,439,810,075,714,899,327,384,815,444,221,652,488,392,946,
273,257,166,429,197,806,468,792,455,130,487,551,201,885,486,944,478,166,839,
629,911,992,602,278,467,847,464,323,350,245,679,720,303,789,203,029,929,152,
719,282,367,705,747,390,845,539,168,385,604,099,858,077,322,343,246,659,570,
075,918,427,502,553,266,218,383,189,573,057,098,075,688,882,054,835,472,616,
457,989,525,947,014,050,090,444,002,107,913,694,120,365,748,468,327,727,130,
212,163,232,415,240,692,973,080,856,542,948,875,411,351,833,326,087,902,021,
766,874,818,452,626,813,723,999,243,634,396,443,575,823,377,281,592,972,492,
625,449,242,806,035,543,048,580,727,849,984,386,807,594,945,882,178,521,806,
187,921,990,367,988,626,374,493,497,496,418,351,781,680,458,276,985,558,819,
906,561,952,591,219,179,926,200,311,113,721,136,866,404,555,446,920,817,699,
507,185,587,196,131,034,557,401,765,969,928,429,814,284,042,233,418,596,492,
051,552,517,687,542,943,923,576,590,387,394,574,087,334,092,674,728,261,810,
648,336,378,202,704,017,860,296,722,440,064,195,770,627,971,559,585,322,319,
820,927,441,163,268,155,903,136,154,419,763,439,691,895,801,814,341,454,208,
208,186,490,038,459,625,393,520,560,766,515,938,665,484,564,195,152,135,988,
765,054,922,159,125,091,319,557,700,373,850,496,992,857,983,739,706,708,211,
056,157,815,776,040,311,968,308,962,343,994,604,078,253,983,166,509,723,225,
625,377,716,491,774,737,791,761,844,637,615,465,465,974,704,228,368,195,981,
593,839,196,645,465,591,107,115,181,936,935,658,995,531,536,544,509,591,222,
273,976,278,934,941,044,314,923,832,987,266,848,085,446,682,470,339,002,620,
597,264,991,763,291,912,414,080,747,087,910,361,985,864,274,634,714,865,989,
672,639,678,769,296,000,389,163,827,164,859,546,125,315,272,299,226,695,778,
815,712,322,906,511,272,601,534,886,762,637,167,073,345,045,602,936,884,822,
200,897,918,519,545,147,180,789,729,007,838,994,830,589,167,434,579,988,421,
319,101,987,284,725,549,064,495,224,724,795,032,390,853,713,924,232,252,914,
800,611,858,048,643,961,929,712,799,292,236,229,108,589,575,227,187,919,024,
525,339,469,021,124,431,524,534,997,298,012,837,697,755,921,292,518,859,156,
335,472,148,508,483,180,331,819,825,183,072,648,066,851,893,550,794,379,197,
899,326,752,718,939,695,405,842,434,759,414,427,616,846,933,965,865,254,051,
113,646,065,442,246,203,312,382,886,020,042,789,125,703,428,064,465,616,615,
700,224,907,644,111,126,207,616,281,177,778,491,087,390,923,201,754,139,306,
632,386,316,483,095,715,622,273,160,538,090,588,234,900,252,611,766,950,035,
172,169,731,775,472,986,915,958,268,564,539,776,850,711,310,051,003,559,920,
378,700,371,453,465,753,650,992,491,412,288,546,866,677,425,304,870,075,798,
717,739,574,690,403,194,003,705,769,853,832,015,544,035,834,768,029,699,134,
625,521,566,657,644,563,681,546,083,747,822,886,788,217,272,687,898,729,473,
686,482,687,327,434,693,032,437,336,275,691,732,450,917,069,932,929,223,404,
592,412,254,053,735,396,596,604,422,672,444,030,680,041,870,748,355,426,097,
569,949,723,609,618,407,715,040,258,949,024,234,997,141,431,548,657,107,055,
678,415,773,117,554,433,662,261,871,971,380,488,368,344,280,208,469,569,794,
973,952,065,540,625,244,236,610,585,462,325,303,792,319,420,162,920,435,610,
983,738,662,342,649,348,736,411,095,730,231,968,871,223,635,877,419,385,484,
962,483,937,213,826,129,694,396,744,069,105,687,694,089,754,892,879,476,697,
653,478,915,660,481,375,221,949,555,133,840,172,075,803,166,853,273,412,936,
149,768,960,877,247,351,521,626,384,210,947,063,508,120,145,069,368,098,141,
165,111,440,529,554,985,179,733,133,239,659,829,142,519,101,465,198,917,716,
683,995,598,562,827,308,390,810,623,401,996,223,027,793,478,046,671,263,948,
520,914,991,468,737,042,321,765,828,341,188,104,504,286,878,181,054,522,703,
912,631,316,895,386,299,826,854,602,976,167,721,612,126,502,887,600,861,878,
188,997,278,832,141,927,086,607,952,055,992,858,509,946,541,751,473,692,587,
013,021,660,535,544,390,421,295,624,303,871,819,841,452,167,613,652,894,571,
460,837,068,162,041,078,004,213,462,998,220,178,948,748,465,900,828,443,961,
424,167,813,546,989,192,279,358,278,906,051,385,290,288,440,861,749,883,981,
783,288,189,109,969,900,006,371,300,938,549,557,549,879,471,119,829,245,002,
551,801,876,626,421,815,401,253,142,105,351,953,463,710,188,680,547,513,702,
389,578,264,409,553,534,155,705,199,489,639,565,316,723,374,015,654,322,473,
001,549,955,640,389,675,574,105,538,674,248,422,596,768,170,797,783,459,004,
083,697,638,053,978,113,096,222,451,444,906,892,950,282,841,363,161,003,604,
949,426,693,258,030,923,613,953,790,034,060,844,879,930,273,389,928,035,126,
896,584,199,496,088,651,954,218,685,276,170,881,373,807,294,076,797,770,995,
653,529,490,399,164,279,948,740,707,472,911,165,007,403,638,636,057,261,263,
125,106,145,097,534,830,243,240,505,176,852,004,921,791,485,819,608,758,830,
385,888,995,617,662,919,485,260,741,678,435,962,818,356,864,214,520,982,095,
149,643,848,980,485,920,377,208,593,663,487,111,175,432,570,587,274,259,076,
574,504,373,971,598,647,801,049,524,903,538,358,162,554,592,988,036,674,933,
208,048,964,323,646,466,353,284,174,496,547,273,694,145,569,902,843,748,863,
700,482,863,460,127,538,417,185,305,216,622,375,369,917,672,783,771,341,388,
383,173,284,586,854,858,667,949,101,008,739,994,520,640,314,590,319,191,817,
596,229,575,364,790,873,248,163,084,728,993,238,697,451,623,670,257,301,972,
005,098,277,856,758,271,847,895,086,637,551,720,269,124,462,948,217,685,755,
479,789,448,296,878,089,503,581,482,281,150,142,357,661,412,759,601,334,815,
205,882,876,210,010,539,318,816,909,092,165,627,063,709,421,362,592,214,502,
491,991,285,374,015,633,799,755,111,302,502,432,239,342,176,863,461,283,272,
523,340,949,251,462,479,314,969,000,173,264,868,216,037,184,398,778,893,467,
244,702,522,140,550,526,996,108,716,668,996,374,077,502,839,749,290,124,751,
833,230,047,677,553,155,243,957,008,424,641,986,406,726,681,669,423,891,577,
815,731,957,372,477,738,419,674,783,492,509,641,177,231,200,752,467,519,460,
263,423,642,988,150,383,314,167,729,717,922,627,229,365,389,275,429,477,967,
575,030,820,640,966,519,499,250,729,002,952,090,380,647,733,359,788,563,246,
338,667,072,739,512,304,878,498,974,876,568,356,450,617,144,751,458,638,311,
849,630,693,382,998,940,915,834,880,259,360,398,163,820,303,462,236,811,289,
590,313,951,237,551,857,103,117,290,263,534,327,501,817,989,168,867,513,772,
385,406,306,524,115,747,391,697,185,231,036,580,632,762,129,717,911,627,270,
417,195,723,749,293,247,839,612,400,005,294,761,623,400,556,947,780,867,517,
813,549,785,778,289,594,143,782,630,237,627,969,576,824,058,427,220,089,727,
030,080,285,752,789,582,664,085,532,620,689,144,691,194,066,366,293,695,752,
543,990,628,897,511,544,608,693,287,962,092,069,511,882,795,369,050,304,469,
623,302,800,289,213,051,257,986,971,889,652,330,964,566,919,024,728,130,494,
364,553,426,889,685,800,929,476,970,899,971,114,366,137,474,044,688,266,574,
463,903,010,074,845,611,297,100,116,933,714,140,674,664,383,751,014,709,095,
118,743,050,887,213,063,062,559,776,397,195,913,056,449,049,123,673,109,530,
893,835,642,065,037,294,161,115,002,510,686,212,594,362,073,232,613,531,004,
716,325,553,643,034,086,763,548,406,937,589,605,016,860,121,708,848,751,525,
262,787,458,897,072,839,787,562,549,272,807,978,709,838,340,777,258,222,675,
475,234,713,873,185,037,843,835,634,558,252,622,089,121,147,137,407,645,059,
602,789,727,196,130,397,730,770,034,263,361,437,668,716,921,776,460,575,460,
483,831,319,188,041,862,399,902,389,176,295,539,400,113,926,925,888,611,421,
785,796,916,123,789,440,823,433,326,143,518,593,792,336,148,716,141,451,468,
290,813,184,354,646,221,301,505,927,042,649,959,210,423,276,635,417,791,869,
127,223,707,123,920,757,544,667,797,373,962,188,927,108,291,272,297,689,294,
198,533,089,115,106,732,600,858,009,804,312,602,526,244,002,861,951,217,538,
807,436,672,349,975,449,141,133,361,342,866,068,839,931,120,055,156,291,557,
811,999,954,911,250,352,405,826,305,931,808,446,579,632,572,515,024,327,842,
889,760,046,938,926,543,613,041,899,957,549,334,741,276,241,921,274,202,420,
008,559,617,386,643,618,992,111,112,804,202,072,888,217,729,680,570,154,881,
689,461,784,887,422,055,396,379,966,101,886,026,394,094,439,686,504,357,983,
084,263,381,323,857,049,381,331,462,436,669,010,742,165,873,161,066,204,836,
128,192,541,455,245,861,719,802,518,556,484,318,983,736,643,126,065,108,100,
791,025,381,994,672,241,506,109,138,943,742,005,891,349,218,765,132,867,894,
067,778,187,537,032,233,005,610,872,478,647,903,587,924,765,195,862,380,667,
213,666,227,095,976,142,596,958,631,989,856,077,596,053,955,932,565,291,556,
677,878,661,814,457,105,199,005,548,305,461,880,315,949,086,954,644,345,981,
031,135,464,108,905,571,103,126,536,695,096,242,837,103,718,199,221,884,892,
198,228,071,577,456,374,028,254,286,093,288,961,058,560,526,337,463,039,682,
356,402,401,864,600,833,388,755,087,899,387,191,191,839,785,491,448,757,703,
344,513,054,825,184,225,295,642,421,466,061,426,385,263,206,716,010,797,241,
094,800,052,770,843,292,724,108,817,153,629,819,454,986,011,151,979,675,920,
647,509,460,497,340,644,707,289,541,642,364,572,181,246,491,073,219,168,812,
057,748,249,913,916,295,817,255,265,120,030,726,062,236,516,397,376,563,072,
762,040,073,143,562,092,422,879,314,920,810,849,501,490,179,702,253,927,335,
459,404,443,068,284,406,042,926,188,052,399,457,675,862,751,098,961,226,757,
095,647,838,835,916,990,402,790,306,488,993,713,705,352,127,021,420,360,959,
580,951,239,149,970,039,049,300,851,102,285,612,153,002,558,219,003,578,574,
045,329,687,041,240,062,249,835,621,412,696,678,182,662,084,981,238,920,242,
401,789,559,370,665,310,252,511,926,302,374,833,784,471,349,734,499,420,323,
496,978,532,978,029,149,098,363,543,810,476,258,481,746,146,080,693,476,324,
768,512,342,831,845,341,676,161,033,950,854,718,793,330,592,637,980,638,372,
026,373,177,043,094,623,110,880,079,832,582,215,582,895,391,504,875,438,851,
689,023,729,888,173,676,788,169,987,781,211,102,876,909,404,990,337,053,551,
689,449,276,879,753,182,125,387,099,841,599,814,616,067,362,924,198,495,887,
346,106,208,842,966,974,858,994,206,243,292,614,042,377,789,278,885,558,209,
875,199,490,457,151,926,748,500,892,949,519,328,559,970,096,018,246,329,186,
152,314,362,862,017,261,893,563,240,674,470,495,214,225,191,184,672,005,538,
514,912,987,221,751,838,539,499,884,624,271,017,213,315,732,052,556,153,555,
309,448,355,343,616,326,198,119,000,939,631,083,040,460,520,838,175,002,780,
992,863,567,180,338,550,495,930,457,095,283,981,056,485,346,124,886,102,413,
243,647,277,514,795,114,439,551,975,162,570,795,658,907,126,620,479,043,746,
330,355,610,953,777,347,206,305,105,886,720,830,391,918,669,360,933,645,811,
525,987,948,007,029,599,337,480,752,291,786,622,075,652,057,693,820,571,644,
531,175,880,919,099,838,748,597,076,713,420,435,777,448,201,383,844,918,055,
863,304,081,652,613,747,448,740,548,045,647,049,230,168,812,161,337,047,026,
847,500,661,568,133,615,120,651,312,617,438,468,652,103,061,477,981,019,334,
619,267,379,172,567,951,295,856,946,695,021,454,220,807,138,498,363,422,880,
730,725,345,407,132,680,327,259,880,401,512,938,972,767,472,114,846,785,112,
737,578,339,269,992,337,640,985,361,694,505,665,406,516,570,268,936,137,768,
203,254,613,720,418,010,662,125,178,107,940,292,199,190,360,528,476,500,652,
330,758,091,580,796,779,155,159,691,351,620,712,620,763,978,517,246,880,119,
810,844,896,081,431,136,039,834,021,966,643,549,739,229,457,946,508,808,277,
275,978,818,351,244,551,068,114,006,061,980,710,876,364,939,125,401,806,443,
269,961,046,727,231,310,374,637,458,807,314,812,905,839,098,348,681,030,930,
672,100,630,587,814,930,413,050,109,664,974,641,297,627,132,388,514,323,968,
260,626,764,544,802,852,946,155,904,734,213,556,338,566,877,596,871,703,800,
211,748,364,638,689,139,260,585,106,795,008,736,820,473,013,982,338,132,269,
275,945,035,403,568,269,469,952,718,529,681,037,972,373,236,883,567,113,026,
804,288,006,129,559,082,676,017,846,225,037,723,855,508,713,820,187,665,362,
885,007,521,729,763,811,630,686,226,104,138,710,721,869,161,799,827,051,087,
913,521,391,428,525,187,995,416,365,318,475,835,416,634,043,160,123,854,934,
829,673,497,152,829,182,682,650,995,012,688,393,501,482,783,460,675,253,215,
135,107,909,771,118,246,078,112,828,880,005,056,723,689,083,593,486,142,544,
313,966,783,187,335,189,201,225,143,643,962,678,505,403,397,516,071,254,479,
184,052,750,862,045,384,302,620,219,962,812,780,472,367,545,624,675,756,388,
812,424,486,799,406,083,229,559,946,624,956,161,278,935,193,122,329,244,740,
585,086,901,823,967,764,906,940,455,850,458,822,786,502,118,680,587,464,907,
194,565,493,646,446,627,836,852,304,198,074,568,697,733,091,215,917,641,185,
868,356,380,779,669,468,521,413,888,072,198,994,933,149,611,245,456,636,137,
189,084,907,587,864,256,654,297,249,158,351,617,836,246,171,522,017,908,537,
050,243,582,706,955,602,585,490,118,405,144,851,786,323,217,508,626,361,320,
573,237,860,672,863,924,401,670,735,838,763,283,525,830,458,703,510,138,537,
612,008,891,180,386,742,797,445,662,937,951,236,531,149,927,782,980,897,221,
168,219,190,723,680,598,948,069,919,336,826,399,193,043,232,317,992,446,170,
666,865,459,264,818,828,773,495,020,023,938,668,102,545,766,611,248,207,731,
345,717,787,023,651,284,378,615,777,523,380,751,814,555,431,549,746,376,009,
340,639,800,888,448,254,894,435,600,910,364,992,958,192,770,857,633,726,038,
844,946,850,464,615,242,263,922,218,730,354,235,355,426,848,809,585,005,670,
635,942,046,889,227,369,961,891,614,517,179,162,347,793,616,733,750,063,258,
763,960,577,717,951,824,502,597,154,668,387,079,647,108,487,602,729,268,960,
376,134,646,012,326,435,782,430,477,319,623,698,539,332,509,083,678,097,378,
081,483,113,754,290,280,120,414,675,585,898,726,848,420,263,412,165,788,736,
791,478,435,333,176,949,877,307,931,188,766,789,855,449,110,295,910,203,242,
079,997,362,925,250,718,441,581,785,796,893,676,161,229,924,009,182,261,743,
563,653,681,498,424,940,803,360,237,608,817,897,643,019,104,696,003,570,325,
295,900,293,388,512,826,256,367,514,822,284,975,465,360,775,791,258,571,757,
071,840,064,459,557,284,743,904,952,216,911,153,103,025,440,459,634,195,906,
329,845,018,462,885,476,028,456,540,787,242,876,750,088,161,158,461,324,387,
255,171,809,476,925,863,230,894,884,914,329,254,407,549,832,013,564,508,786,
752,266,755,593,422,773,018,729,704,095,868,437,082,292,468,340,477,991,377,
279,364,456,849,416,577,209,148,656,755,890,290,349,832,286,073,838,672,221,
101,644,348,152,920,536,664,838,541,949,622,233,695,434,663,671,075,277,370,
249,301,579,205,092,005,971,426,666,895,303,023,797,265,105,620,738,255,043,
942,983,434,309,483,369,766,335,305,182,888,672,370,313,831,782,240,821,771,
977,271,707,473,867,871,627,176,129,868,597,603,745,067,878,463,587,998,608,
284,918,432,188,273,358,619,416,078,149,789,751,976,346,849,090,155,430,557,
398,494,045,126,942,695,857,841,790,315,123,729,070,839,738,702,422,627,616,
292,735,902,522,453,048,200,315,239,733,939,749,856,054,689,471,710,877,007,
539,079,477,632,498,221,042,075,494,072,508,103,299,226,727,006,108,476,945,
480,314,824,625,198,224,216,101,721,491,913,420,117,271,973,378,363,820,347,
162,310,484,299,158,344,805,372,133,508,401,509,508,967,366,847,363,503,716,
383,467,232,820,050,274,550,298,345,390,422,375,471,623,225,267,665,597,469,
397,097,223,472,268,574,538,061,553,632,666,414,923,792,101,465,332,055,970,
790,247,129,667,481,866,594,391,984,352,486,094,104,840,750,822,147,827,376,
896,914,429,095,867,872,126,851,378,119,936,223,165,772,040,460,498,083,245,
291,308,721,200,416,929,299,937,829,797,272,168,378,484,005,393,458,758,203,
640,681,028,201,220,348,936,829,921,906,727,451,533,631,058,914,462,746,754,
522,092,315,925,049,425,988,285,778,944,759,337,010,115,029,354,081,790,407,
803,926,102,402,576,663,322,105,867,263,239,195,834,732,880,815,047,188,765,
096,625,736,501,974,776,640,094,131,977,962,845,848,018,617,420,856,292,528,
597,990,149,518,257,726,408,442,927,882,214,799,868,842,400,045,560,612,976,
053,207,367,353,899,174,704,592,328,634,976,302,341,669,265,041,348,925,332,
820,390,877,409,306,833,084,246,014,945,125,740,912,856,636,165,752,480,813,
417,293,811,664,252,686,301,474,501,647,732,538,564,124,363,562,674,855,681,
417,209,778,567,050,026,786,746,731,961,681,761,731,411,096,173,476,761,922,
204,145,706,175,400,452,199,903,465,027,255,262,247,610,443,223,573,162,710,
387,285,709,063,087,720,194,380,284,993,168,458,994,103,371,697,973,600,490,
178,229,807,556,999,420,184,998,017,707,765,567,214,422,160,221,978,642,784,
413,199,265,745,575,609,637,977,414,805,389,646,859,537,195,660,080,505,600,
727,095,029,104,730,868,634,706,473,529,179,030,689,781,192,702,870,762,520,
720,783,290,718,627,570,227,230,278,512,805,044,787,245,749,710,918,528,426,
752,315,644,796,544,782,852,234,627,962,992,109,800,943,635,483,779,047,641,
885,724,064,256,954,254,404,012,561,887,021,241,771,868,719,402,329,629,288,
510,010,705,614,036,369,084,438,765,157,118,502,351,027,168,598,125,983,334,
051,108,817,106,007,529,916,102,065,535,285,610,399,364,772,226,817,004,139,
145,682,871,124,488,794,673,357,120,194,388,722,941,524,115,017,283,139,150,
556,123,457,050,044,563,699,925,987,866,151,813,398,207,527,544,343,192,409,
568,992,220,473,944,083,681,566,316,268,355,963,042,467,107,392,058,919,559,
078,587,736,123,089,811,100,190,914,128,465,218,704,840,506,122,032,463,794,
105,135,529,189,919,610,689,139,420,077,779,026,112,243,800,925,271,872,283,
753,633,714,144,594,931,536,078,977,823,568,278,336,841,788,371,858,048,009,
622,361,648,683,918,085,423,982,393,374,600,529,401,865,518,143,188,135,243,
450,236,744,943,432,442,714,808,150,072,839,611,500,444,267,071,693,584,689,
477,746,799,357,590,530,130,382,428,572,038,888,867,688,428,162,976,990,582,
630,640,597,102,663,692,314,038,463,255,793,623,957,644,943,602,318,332,992,
749,555,555,166,522,868,734,870,137,374,368,134,975,587,935,263,302,227,254,
025,468,643,928,244,398,500,679,731,915,542,281,355,268,661,543,801,913,552,
454,783,857,334,446,836,521,524,017,497,737,801,996,402,180,716,282,611,461,
871,976,692,408,635,385,123,437,619,467,561,848,601,550,146,414,786,108,504,
328,054,255,703,313,834,076,463,295,682,102,005,662,440,787,727,779,182,359,
220,889,216,007,386,759,114,510,576,334,173,442,575,536,034,404,462,792,362,
105,099,784,497,889,769,428,414,298,859,511,602,606,059,968,786,632,100,987,
753,860,498,970,039,230,178,027,827,876,944,344,172,918,999,934,158,185,980,
787,858,172,452,827,894,576,237,588,543,822,446,786,010,876,642,630,468,330,
623,275,262,255,598,223,382,470,812,994,298,874,164,053,184,724,430,962,358,
579,823,892,437,980,087,971,664,847,102,765,518,889,808,810,798,861,867,888,
680,459,025,892,797,817,194,016,615,901,974,093,942,929,288,062,537,442,287,
366,302,811,623,812,502,506,469,417,434,557,930,699,617,871,008,614,717,855,
111,768,015,268,887,501,164,326,625,917,922,639,157,056,409,398,766,691,439,
650,503,330,004,064,057,741,272,221,372,576,598,754,916,112,894,776,491,481,
146,400,882,603,749,090,237,526,935,962,380,817,551,742,261,899,038,913,253,
423,904,375,504,834,045,718,818,197,033,470,749,332,067,400,116,704,790,415,
821,894,720,351,874,594,560,895,500,809,490,548,333,517,582,341,996,706,230,
170,319,761,645,220,153,871,737,348,936,583,686,698,481,920,664,214,960,041,
792,677,319,785,754,641,684,414,859,686,757,031,109,421,111,862,500,160,119,
724,697,473,641,435,594,711,117,580,775,200,489,473,541,502,637,213,179,360,
970,144,019,430,612,461,815,949,326,640,239,343,156,023,644,673,088,007,109,
075,075,277,780,725,361,823,317,918,447,859,149,856,612,462,357,542,012,574,
036,429,351,151,757,011,627,139,448,718,867,843,300,567,015,365,699,802,011,
721,281,288,650,857,409,429,243,702,626,703,271,935,707,257,773,571,354,755,
717,247,625,040,415,234,827,005,975,844,538,224,035,327,871,144,216,875,501,
743,771,889,133,720,680,704,756,614,078,926,470,369,712,944,664,185,026,363,
181,578,918,559,313,073,283,514,626,527,097,828,882,982,236,210,464,377,150,
556,060,652,277,009,023,343,524,855,962,366,780,428,901,522,568,647,892,970,
351,461,536,992,720,966,528,748,691,390,095,044,985,296,348,237,268,270,281,
579,888,307,407,665,070,809,526,030,502,838,450,023,715,184,127,148,177,950,
207,581,789,545,943,566,221,413,100,487,070,095,346,883,434,572,270,313,577,
386,673,501,492,806,897,702,425,799,856,362,036,401,468,406,707,657,908,306,
334,189,963,755,293,498,415,648,045,443,354,893,947,536,636,102,873,730,737,
888,626,280,126,535,357,213,243,935,915,396,797,539,668,366,003,456,356,138,
305,928,910,942,571,128,925,476,730,649,759,961,882,326,278,210,024,451,976,
599,624,686,439,711,615,845,431,471,079,658,791,259,646,096,732,897,932,391,
362,571,469,703,557,788,503,550,209,657,788,672,705,492,502,291,424,783,249,
701,218,968,987,351,249,173,739,091,475,770,460,718,705,619,466,704,570,098,
400,007,667,162,053,615,697,147,101,219,694,314,172,212,288,401,715,161,508,
500,144,866,199,847,977,432,526,175,024,319,088,790,741,540,150,463,706,683,
150,512,442,429,194,900,364,646,663,285,038,815,146,640,752,341,005,021,339,
397,702,693,205,016,610,815,314,053,688,234,033,451,793,329,808,156,397,069,
603,498,886,024,148,010,567,817,267,042,223,270,489,617,576,634,317,888,369,
770,224,428,254,274,503,447,334,093,392,954,789,741,341,815,425,735,509,399,
706,408,650,215,444,086,756,024,522,672,355,686,309,308,631,688,166,115,133,
490,847,658,185,399,912,975,627,900,684,969,744,114,003,926,327,510,260,329,
309,188,302,857,547,421,993,005,446,392,604,068,027,883,114,267,025,541,555,
968,806,207,797,499,809,231,549,791,638,897,603,309,560,305,710,917,216,674,
663,123,641,110,124,688,668,755,804,826,581,665,087,443,913,853,246,228,381,
673,170,465,129,180,474,371,307,124,987,549,812,831,288,977,042,837,567,372,
176,009,741,803,468,202,060,794,148,558,261,153,525,678,221,789,084,118,041,
569,513,106,753,693,378,377,118,690,488,919,614,889,395,908,546,090,802,023,
834,961,121,932,298,145,884,280,179,183,395,708,944,420,624,631,376,096,469,
556,784,886,745,296,560,804,338,882,188,998,772,248,966,714,300,175,599,580,
887,758,132,742,553,841,193,158,136,075,804,550,085,204,441,486,376,470,139,
416,030,294,114,906,832,101,804,656,241,503,555,438,354,274,614,102,524,345,
902,480,479,896,811,015,657,401,183,752,707,107,012,275,450,279,916,180,112,
209,348,684,852,268,521,206,937,055,419,858,917,913,133,519,155,033,332,686,
092,030,154,426,388,220,234,184,177,427,059,738,138,823,907,144,850,848,573,
750,978,478,968,147,821,634,195,595,532,141,864,604,730,238,538,476,929,138,
107,979,312,558,710,482,768,994,808,817,398,006,189,369,067,442,439,530,180,
125,182,026,602,926,456,232,196,070,555,928,795,942,453,524,707,415,460,223,
535,473,297,234,786,104,061,982,868,532,546,244,782,463,415,022,045,354,828,
984,690,305,205,964,623,945,541,880,717,611,782,595,712,929,737,624,464,089,
148,427,658,806,584,454,015,681,173,719,546,565,191,529,990,245,357,742,584,
060,411,198,847,897,392,190,820,251,514,779,366,520,278,966,735,104,471,538,
664,645,895,387,997,635,475,442,269,835,758,236,749,595,107,822,488,207,746,
349,943,228,366,120,652,445,260,292,767,101,942,833,034,576,157,419,450,106,
718,548,419,080,391,217,749,997,414,397,852,521,678,169,572,653,931,650,944,
634,677,271,252,457,627,676,398,241,099,658,465,834,493,158,123,296,560,929,
882,808,090,602,857,746,192,027,986,097,734,140,951,344,324,440,234,485,602,
464,523,878,415,409,011,772,449,106,248,190,943,983,028,888,759,236,290,743,
591,479,142,287,529,722,920,201,413,110,468,971,608,186,474,041,198,621,181,
203,673,528,832,929,470,194,837,923,000,390,664,187,311,961,687,556,608,472,
039,560,006,240,182,526,003,252,568,813,776,380,757,275,847,541,078,519,566,
032,349,857,639,091,896,232,912,355,939,689,179,655,176,039,322,240,175,267,
719,656,318,222,794,145,518,846,048,532,768,667,519,975,080,989,694,184,941,
119,197,277,543,483,842,260,600,656,135,399,567,008,889,690,516,710,492,856,
176,928,358,801,208,370,336,300,935,066,721,329,094,654,975,052,629,590,213,
642,036,716,846,967,089,495,007,528,513,965,101,919,784,162,056,077,509,406,
817,662,822,369,176,918,952,311,853,717,656,677,139,935,485,985,441,926,248,
035,465,970,091,791,429,254,264,796,134,358,697,666,008,957,264,582,626,309,
383,118,569,732,163,988,264,791,523,455,984,160,859,652,939,674,466,118,140,
756,937,693,166,057,571,100,960,529,232,713,494,903,686,396,842,426,180,353,
065,994,091,228,255,801,470,290,331,308,747,282,831,867,581,095,557,920,993,
054,844,056,319,597,800,888,445,437,681,175,932,797,256,805,915,669,693,880,
342,497,328,019,279,906,214,159,267,329,789,354,124,337,458,904,105,074,082,
631,462,758,500,967,559,294,980,826,384,714,926,418,537,888,087,900,286,407,
504,724,138,923,627,449,954,760,672,558,632,434,114,143,159,207,823,179,156,
222,831,150,832,632,838,627,622,058,916,232,646,547,612,454,120,523,054,952,
274,730,338,025,645,930,878,840,335,655,664,771,299,969,385,381,713,089,863,
473,614,299,406,815,190,196,828,283,591,339,883,199,145,433,300,336,960,246,
872,681,042,683,127,306,458,163,634,933,697,383,687,396,569,455,711,184,286,
498,540,566,220,646,623,089,708,126,420,731,263,003,800,794,623,793,939,802,
531,668,828,969,927,644,958,076,253,162,521,018,364,668,958,480,081,962,613,
542,526,008,392,362,170,720,756,342,801,585,564,726,282,424,226,312,317,035,
921,075,093,593,000,308,841,802,159,866,896,464,977,660,756,180,229,433,657,
756,775,250,004,374,598,179,123,077,973,498,707,990,616,185,536,741,721,898,
255,181,793,659,179,294,369,185,904,946,282,525,744,191,956,476,028,723,508,
159,337,934,935,483,778,300,470,833,474,531,427,251,243,900,248,113,526,027,
937,227,995,375,567,810,816,622,152,358,830,889,858,301,233,952,362,891,457,
489,401,777,152,356,371,411,236,060,160,282,812,000,407,560,642,137,550,268,
987,371,721,783,453,773,636,880,820,643,684,301,576,903,319,517,044,633,703,
806,422,080,002,943,866,434,077,758,104,593,584,290,978,296,452,391,693,039,
548,462,645,850,303,636,188,621,303,546,297,467,921,537,299,259,004,636,316,
589,355,582,410,195,204,646,681,881,792,822,501,833,755,871,244,579,339,880,
869,164,438,950,320,783,251,929,275,557,698,295,799,147,520,096,008,695,558,
724,925,705,196,193,774,744,438,096,694,329,028,630,937,777,747,043,040,539,
576,477,733,105,038,837,005,324,255,305,701,753,419,712,416,987,800,104,097,
498,346,415,203,714,966,745,306,901,888,368,345,217,442,576,885,593,074,579,
832,567,225,617,186,859,030,698,555,259,653,274,353,342,811,518,525,666,629,
366,045,642,031,440,134,814,952,864,038,174,027,263,070,744,170,867,906,386,
507,488,320,239,127,838,678,596,600,193,581,342,668,849,040,057,075,057,064,
728,062,668,108,711,461,817,884,841,015,730,806,534,987,821,259,954,932,822,
611,285,499,332,227,392,781,947,457,331,799,666,439,496,573,975,249,054,596,
557,401,127,330,883,241,451,934,315,040,078,323,291,567,864,823,365,993,922,
620,987,627,924,056,794,138,427,870,113,766,335,979,293,731,096,979,496,945,
350,624,327,326,963,048,814,101,612,818,795,353,781,772,976,587,448,899,262,
215,606,862,528,449,099,097,441,711,197,625,854,861,942,115,919,682,929,096,
369,509,814,607,639,345,633,588,746,107,328,633,243,419,090,160,359,798,584,
207,597,514,710,295,765,947,759,045,001,597,012,404,964,448,309,919,555,849,
447,640,534,021,926,679,359,202,461,065,561,654,586,932,578,470,605,775,000,
228,270,431,955,503,454,513,037,096,127,366,895,586,015,999,869,242,962,182,
412,694,377,548,267,591,664,146,525,525,558,678,888,529,496,172,820,614,698,
187,535,222,979,799,486,136,077,831,663,283,191,693,598,250,133,342,099,006,
169,461,020,076,040,663,103,688,685,450,022,643,576,454,991,749,505,883,281,
386,747,030,749,268,670,021,374,299,780,101,007,670,691,552,318,101,705,012,
865,289,005,425,277,524,136,026,216,236,159,633,711,907,773,943,451,079,388,
168,282,405,592,855,505,431,232,890,106,116,138,200,279,727,720,409,081,456,
145,545,576,296,050,767,462,615,781,204,040,075,974,896,477,719,046,854,015,
069,110,156,634,422,377,657,174,526,866,532,903,625,520,362,469,534,223,923,
706,662,043,832,235,548,425,247,233,523,343,116,849,426,252,049,891,351,412,
180,604,134,545,033,166,413,454,329,310,204,648,102,150,527,872,783,450,606,
630,259,235,962,076,169,217,364,008,627,629,975,038,187,753,075,594,681,824,
195,015,031,130,783,628,922,803,975,374,290,620,154,515,237,976,107,532,043,
484,335,441,555,134,877,918,976,916,337,693,626,634,068,390,371,505,551,611,
196,172,068,201,929,937,426,687,499,660,385,075,067,436,329,977,523,076,307,
245,123,636,047,742,246,049,509,165,279,183,380,878,296,323,044,985,642,848,
620,300,172,541,794,960,877,296,923,398,765,738,286,991,226,636,156,606,988,
896,893,322,771,688,894,848,820,364,836,830,549,292,565,680,261,526,387,384,
462,286,869,387,640,570,562,461,983,797,419,545,962,240,357,319,232,108,270,
698,385,760,179,658,063,009,065,406,119,850,819,757,829,192,041,822,293,311,
802,527,036,225,533,827,033,042,306,516,232,286,107,911,457,287,775,588,661,
338,494,940,844,611,055,501,822,212,115,362,058,795,193,548,034,691,848,686,
331,579,169,205,820,830,326,966,771,327,896,725,016,639,926,725,608,339,884,
987,733,895,004,477,508,966,730,467,664,293,558,102,668,764,695,101,593,250,
418,455,366,821,161,909,270,867,427,042,300,412,275,163,689,473,275,889,120,
897,388,676,675,346,725,301,292,685,801,800,171,120,755,455,169,104,882,589,
456,019,681,919,353,716,941,951,801,831,753,968,952,858,821,972,059,551,524,
103,981,006,573,312,054,663,813,741,371,666,805,841,296,829,886,663,119,501,
326,617,466,059,336,433,342,516,867,820,927,281,093,855,241,504,178,634,045,
675,780,005,076,786,364,330,519,111,416,899,654,053,642,200,397,629,321,860,
106,918,154,071,717,026,740,545,749,609,311,109,358,196,925,198,654,991,217,
832,822,260,270,063,472,651,385,467,171,792,922,540,553,710,243,567,002,351,
219,630,842,184,482,837,992,118,515,857,328,851,476,283,405,757,184,585,741,
695,538,756,810,156,263,732,397,625,144,409,037,571,365,666,218,709,397,125,
229,971,331,727,158,898,025,999,434,206,724,655,128,214,808,873,432,006,971,
152,892,703,527,407,736,715,237,761,648,793,860,591,959,053,481,271,724,301,
955,849,680,126,513,130,689,983,907,871,741,040,769,145,986,357,916,492,123,
945,270,490,949,534,992,702,029,438,483,862,601,239,651,632,206,496,974,523,
285,882,159,311,028,018,064,286,175,755,720,241,108,898,370,463,846,829,491,
059,463,487,753,383,536,036,906,477,875,301,064,339,398,353,922,977,415,991,
557,710,338,742,647,305,625,269,173,468,563,154,875,468,816,344,913,866,403,
579,179,051,284,556,293,022,920,351,640,849,622,933,090,115,736,780,196,804,
225,911,515,955,117,795,647,992,970,772,577,729,001,424,427,834,669,271,226,
812,677,889,617,091,099,865,928,414,216,489,471,267,258,342,746,889,262,505,
420,203,960,752,217,796,583,233,790,796,428,348,724,871,954,017,031,597,448,
422,922,149,571,598,325,370,463,818,129,629,667,748,436,429,286,239,255,048,
941,309,050,070,937,622,054,555,165,781,356,675,876,198,486,612,551,902,997,
670,886,564,075,864,824,296,357,672,374,282,070,260,560,224,408,661,765,785,
617,244,471,247,440,780,368,961,995,708,896,260,791,940,350,215,774,818,321,
429,112,837,841,995,033,442,246,820,509,278,616,292,339,700,516,792,986,500,
646,155,060,772,412,373,376,844,779,565,569,001,445,190,200,055,815,143,584,
979,206,560,711,528,723,307,155,506,506,241,362,763,712,581,483,086,947,742,
590,212,739,514,247,513,934,140,986,893,514,565,878,466,974,886,364,767,573,
148,817,970,555,398,518,135,697,703,223,107,064,223,813,062,491,728,060,239,
057,287,830,452,311,952,547,800,565,165,679,281,575,172,316,977,605,299,327,
012,053,313,734,956,536,164,393,887,051,373,937,844,880,777,717,509,775,138,
117,015,711,762,270,354,095,512,724,120,806,223,498,051,184,483,615,579,361,
691,114,451,652,348,943,326,098,674,878,827,454,848,112,515,241,342,632,423,
597,128,417,279,302,340,789,109,607,237,071,226,676,423,046,808,369,314,449,
984,007,520,238,169,098,606,416,265,246,293,844,479,428,735,880,549,878,874,
052,920,556,905,064,132,943,819,715,572,708,108,011,118,857,364,821,602,553,
576,890,483,262,123,319,676,736,384,439,180,216,244,253,094,535,178,247,258,
806,770,548,544,454,124,936,698,302,174,137,328,440,781,882,914,233,843,794,
806,287,396,080,035,452,740,357,342,849,921,844,510,383,075,786,296,197,158,
805,981,552,354,899,506,120,477,041,131,654,084,883,727,304,080,694,757,753,
985,182,914,215,433,520,689,626,331,850,813,609,205,098,816,821,882,487,936,
713,221,755,656,589,546,769,230,313,120,327,695,065,259,622,225,674,787,002,
238,164,707,541,300,465,137,389,443,331,978,866,177,921,179,291,834,758,010,
283,642,331,459,033,871,365,788,023,254,823,674,352,194,381,566,066,396,140,
752,107,328,489,532,802,415,641,023,172,567,851,748,478,479,048,353,218,984,
363,550,823,433,866,347,255,860,114,874,755,819,188,125,539,830,552,087,191,
640,505,147,597,980,151,558,449,550,879,567,773,619,736,610,708,307,917,785,
924,836,565,415,433,582,246,255,286,863,162,818,440,751,393,382,725,791,063,
950,657,835,870,505,229,698,102,418,400,578,700,035,350,082,429,219,465,148,
978,904,171,110,080,667,712,443,972,897,883,544,947,301,888,096,431,422,571,
185,951,798,281,756,459,687,576,683,262,771,816,604,379,500,213,424,599,790,
780,132,051,813,035,546,212,348,060,780,607,611,814,667,892,304,153,504,081,
042,736,879,602,841,545,686,950,774,675,868,157,110,786,773,781,719,204,567,
176,549,493,098,047,015,154,917,850,812,980,888,027,784,049,286,922,605,763,
572,305,074,042,295,854,244,528,468,715,649,192,567,532,923,712,890,354,704,
332,693,373,741,512,709,864,599,160,023,033,995,093,238,406,266,105,440,048,
236,270,735,938,701,813,361,090,459,796,365,771,298,365,653,148,266,231,982,
253,050,431,940,170,442,472,779,393,360,783,760,469,328,434,879,489,597,582,
826,026,150,277,679,849,850,839,181,801,190,651,542,339,370,769,879,137,117,
790,303,613,653,955,190,416,527,511,621,804,212,041,333,986,875,303,674,196,
962,045,842,934,761,148,248,818,801,819,524,245,840,966,576,365,985,360,035,
466,798,713,359,493,891,077,593,814,949,876,610,102,448,833,757,762,863,593,
723,001,605,166,713,344,656,544,070,432,605,628,498,312,334,220,310,253,137,
357,355,820,840,137,041,314,151,505,239,456,391,271,360,232,068,800,839,352,
646,527,855,577,757,503,835,623,952,138,635,877,513,103,689,402,002,275,303,
852,352,018,443,552,253,014,615,923,671,946,597,319,635,630,573,646,485,241,
004,794,423,510,904,817,084,106,844,464,875,928,065,956,229,202,374,100,567,
766,313,465,929,961,546,597,695,386,470,944,600,327,384,063,295,117,687,137,
665,187,098,236,142,572,534,958,895,821,753,334,343,659,863,546,107,708,455,
613,321,933,482,292,138,930,055,683,207,215,768,162,957,031,559,747,386,146,
998,218,048,742,622,181,933,113,049,483,668,702,843,908,963,396,295,569,015,
816,510,007,688,752,068,838,636,585,047,837,574,356,271,323,410,328,564,889,
150,070,767,632,032,695,953,772,129,246,466,787,563,628,413,451,870,493,967,
716,477,194,455,044,641,175,303,790,756,430,824,039,190,923,518,736,780,096,
658,692,217,127,588,965,641,713,689,428,596,179,135,019,213,840,841,192,308,
082,925,440,335,793,397,807,178,644,335,659,884,096,338,136,474,870,020,974,
536,349,805,412,179,203,862,358,387,417,294,035,916,584,437,740,868,893,144,
212,385,851,614,498,876,040,350,716,642,374,853,694,615,338,128,134,069,340,
158,057,720,456,490,836,748,927,093,289,401,165,602,583,736,639,497,220,366,
403,385,319,164,233,777,688,343,951,220,651,673,180,919,114,518,933,591,010,
178,965,378,726,887,272,560,010,237,464,965,742,165,683,102,039,927,498,249,
184,639,923,275,729,481,217,574,218,376,994,923,880,264,762,231,566,121,278,
928,696,708,170,676,994,552,622,115,124,755,500,110,094,908,424,850,250,638,
611,366,583,165,350,185,483,933,971,298,135,316,343,023,486,775,090,297,452,
563,081,019,222,861,234,005,112,584,020,854,413,679,715,998,263,670,063,849,
800,301,732,027,629,787,227,470,303,653,372,804,501,955,709,800,540,573,768,
623,909,973,778,131,461,564,294,452,740,100,192,416,170,876,162,922,839,441,
944,015,841,099,020,378,546,952,022,969,648,936,018,964,475,575,873,851,154,
932,966,417,939,408,803,763,203,601,157,599,208,574,019,522,372,082,752,979,
155,384,588,684,629,384,581,709,010,173,812,636,996,004,683,042,720,414,507,
839,491,580,295,902,793,780,582,240,764,388,323,460,754,092,128,161,680,192,
322,494,153,643,112,527,784,182,832,423,842,617,556,144,818,895,710,063,398,
386,705,280,696,552,522,171,689,088,938,491,273,633,430,609,657,482,335,336,
670,841,980,632,409,642,489,676,567,365,653,402,669,174,816,615,644,798,800,
714,304,104,617,445,234,290,823,030,475,190,003,769,447,018,877,030,266,871,
906,239,386,108,758,392,111,242,625,114,494,716,702,930,376,952,926,414,730,
388,687,017,147,367,542,596,624,741,062,081,081,861,076,018,178,661,293,494,
789,666,659,020,414,396,192,698,418,930,136,684,521,862,606,038,898,819,408,
124,279,474,993,452,537,658,286,007,989,934,872,908,384,262,968,826,358,606,
453,817,478,918,917,004,696,515,379,593,565,134,572,788,200,438,447,163,821,
162,975,749,471,589,110,934,480,648,086,697,855,019,561,379,050,170,344,812,
564,914,316,501,177,279,987,050,398,521,221,118,074,151,492,971,156,395,625,
392,960,200,305,266,698,758,556,617,153,446,112,182,541,792,111,124,616,932,
623,349,821,475,032,406,661,001,309,853,077,899,617,597,139,811,054,031,915,
914,263,064,575,529,058,408,673,361,036,711,633,461,873,538,128,019,847,154,
705,034,805,168,099,160,869,853,941,639,260,646,047,572,228,080,398,228,069,
833,038,878,541,935,836,640,355,007,155,913,032,047,059,071,082,266,736,671,
863,257,135,283,788,593,379,605,775,600,258,664,431,977,666,938,175,932,542,
154,403,052,109,775,965,201,952,132,775,178,136,576,296,581,699,667,777,794,
395,304,406,281,155,006,228,932,428,060,831,842,128,573,457,212,772,715,654,
858,258,671,794,643,765,075,474,867,803,835,085,700,877,542,057,032,057,346,
428,121,610,920,647,477,407,922,134,964,795,808,127,253,870,263,822,959,064,
530,989,552,958,286,630,568,540,141,981,560,490,752,459,824,402,527,631,830,
991,134,743,611,249,525,022,299,371,039,916,563,936,768,813,467,313,464,687,
423,103,025,131,689,674,188,520,580,023,081,176,733,771,034,847,759,409,112,
152,295,404,573,286,537,940,145,244,260,525,807,963,871,613,205,829,309,133,
925,777,777,432,708,048,760,785,706,535,999,651,621,619,872,221,875,780,781,
800,298,496,979,172,612,681,633,048,092,009,230,642,542,297,698,736,866,164,
739,607,406,993,941,729,263,330,574,184,468,748,957,973,960,584,412,060,068,
698,325,899,567,134,857,365,413,541,329,529,748,338,237,638,064,625,949,491,
725,067,169,416,406,955,994,213,132,898,080,071,676,716,440,225,958,637,615,
352,767,718,328,649,052,476,416,514,883,344,250,192,549,101,132,950,020,108,
054,106,990,231,075,257,438,733,337,172,080,000,599,576,673,067,070,367,445,
607,253,570,955,961,033,435,925,975,799,457,542,745,650,820,082,446,529,856,
954,556,956,721,646,950,090,889,661,074,492,974,804,152,565,244,689,297,148,
636,433,784,017,421,359,612,652,864,982,212,682,415,918,500,842,092,131,843,
608,423,159,293,879,891,899,570,385,125,005,488,622,219,468,609,551,843,464,
894,814,978,919,890,322,828,825,258,739,421,525,918,494,538,468,653,234,989,
096,240,193,827,877,457,242,436,887,892,361,893,525,199,997,773,072,841,619,
855,849,144,225,969,896,323,972,088,708,807,111,504,496,522,802,943,472,863,
505,355,406,934,562,889,823,984,972,620,234,395,421,984,652,695,926,597,922,
165,754,437,173,906,955,596,763,624,914,018,865,624,795,568,899,303,245,990,
149,544,709,702,159,076,593,566,017,620,421,652,481,163,787,910,426,221,624,
010,311,207,458,814,791,742,141,697,955,433,061,675,860,227,036,090,749,555,
923,101,345,068,921,562,412,231,192,206,580,582,132,140,670,405,536,050,992,
640,123,797,842,604,088,782,993,212,031,440,669,730,887,946,257,986,753,740,
129,195,175,611,831,274,718,535,020,935,982,063,843,356,675,985,366,004,604,
673,774,253,748,975,906,033,529,411,061,099,873,965,629,415,173,114,145,262,
626,439,062,564,949,795,266,287,810,722,091,034,200,089,083,902,141,281,391,
483,951,142,209,264,977,101,233,314,006,029,517,789,799,464,485,618,008,560,
191,136,687,520,927,473,075,025,692,183,685,813,738,470,103,242,974,225,370,
311,340,885,425,777,082,971,803,827,194,531,355,167,804,589,349,778,816,170,
947,859,591,308,264,800,059,231,431,766,711,436,375,216,058,816,808,028,508,
356,694,641,449,823,053,311,179,678,236,535,486,960,848,067,040,772,837,263,
449,293,483,468,635,743,788,341,972,219,715,697,024,360,355,422,701,955,456,
524,290,336,108,684,473,958,132,189,183,899,875,011,762,306,591,973,915,015,
027,439,641,649,739,840,946,520,225,109,249,366,508,521,145,741,085,374,897,
145,654,821,288,967,084,679,313,664,401,818,259,947,751,989,147,190,101,092,
496,771,744,418,951,654,545,841,711,232,065,356,515,268,946,800,428,246,755,
076,293,504,559,953,466,653,222,311,038,615,597,610,513,995,274,929,499,863,
366,249,183,981,741,570,724,247,224,191,484,470,582,026,051,395,953,533,280,
697,769,446,590,808,472,385,042,593,598,561,512,402,962,138,199,074,583,355,
238,334,795,674,311,540,081,527,550,533,803,347,001,560,869,163,809,459,844,
673,570,770,241,839,763,911,169,237,003,854,582,427,936,107,559,532,202,061,
909,457,200,617,840,917,429,008,946,539,659,197,154,867,078,733,825,371,854,
440,081,570,742,110,239,994,956,397,950,386,449,862,860,678,456,804,531,682,
957,566,182,127,338,148,013,258,869,696,173,021,059,060,262,080,943,163,708,
593,788,592,874,407,397,838,085,225,422,519,500,100,627,386,916,743,355,364,
697,764,265,450,232,753,065,183,710,365,893,230,121,193,852,794,155,739,292,
890,922,034,276,236,865,414,183,207,635,040,470,137,102,274,696,240,566,294,
187,599,835,734,224,162,478,384,527,908,614,232,623,106,155,884,969,662,874,
727,433,938,903,414,348,010,297,511,936,182,350,529,671,129,369,401,799,262,
037,058,596,394,981,456,827,956,733,884,168,253,969,793,180,873,433,596,151,
170,591,731,064,680,772,265,347,531,949,608,223,750,826,254,206,744,890,202,
213,999,837,786,392,090,327,115,184,535,513,232,305,285,411,543,557,211,830,
360,084,068,523,265,251,124,335,542,949,780,290,159,877,909,185,225,180,862,
235,053,995,345,977,768,947,238,378,106,140,259,147,562,132,531,858,699,235,
357,982,325,390,048,153,811,306,372,484,395,260,403,007,643,624,234,360,652,
188,135,968,252,733,027,633,062,288,410,480,550,322,031,643,369,997,602,981,
164,827,286,353,247,689,773,992,283,796,884,864,833,364,274,469,037,206,826,
382,323,692,830,241,619,810,305,315,390,740,185,224,222,895,892,108,831,922,
947,901,138,443,608,161,955,738,866,745,697,063,456,987,933,535,493,845,581,
710,666,271,284,410,431,252,672,320,960,843,483,296,292,433,455,516,089,752,
624,996,408,561,572,267,483,373,002,403,781,966,486,021,180,633,845,193,336,
461,628,042,168,220,855,120,858,176,241,786,451,631,131,480,226,041,745,120,
067,310,328,139,110,742,510,735,184,144,294,817,232,989,191,994,747,108,704,
578,018,550,960,438,119,733,665,548,805,362,632,879,748,077,581,922,384,727,
449,492,948,714,703,962,497,718,352,475,572,504,145,615,169,693,222,946,234,
502,567,953,108,300,834,277,360,201,173,386,491,030,409,642,675,566,605,035,
262,301,733,940,649,137,535,703,887,760,021,355,730,829,747,462,596,926,342,
056,963,401,265,383,919,676,428,010,243,173,879,089,090,803,238,410,234,367,
478,777,472,215,860,695,799,813,852,592,425,727,845,841,624,334,406,622,242,
677,180,617,616,194,699,321,080,905,580,299,218,606,671,385,452,133,289,259,
921,735,354,972,333,557,565,920,570,048,210,287,703,691,463,179,106,284,900,
852,084,799,860,787,045,477,836,474,081,553,623,758,311,820,976,801,833,128,
597,321,460,476,918,634,723,690,140,705,448,135,235,743,883,441,472,862,117,
479,241,320,025,582,376,822,361,509,315,776,674,158,369,114,584,094,231,304,
995,458,773,911,883,306,920,980,083,360,739,005,119,437,873,634,813,698,142,
071,633,253,048,130,017,182,534,039,659,912,870,987,907,729,587,890,727,008,
297,668,848,332,840,883,716,741,806,068,477,691,913,501,167,892,304,708,786,
340,805,008,095,952,195,819,400,149,514,516,534,332,301,158,059,656,302,341,
904,777,167,400,551,282,045,932,639,779,766,557,643,405,195,049,716,162,940,
146,226,518,935,719,534,864,718,280,532,998,850,073,569,636,751,445,128,509,
083,278,166,865,230,532,918,297,224,162,690,200,520,577,517,448,445,109,107,
504,629,980,851,819,351,944,492,711,635,006,402,165,596,396,057,926,833,026,
927,808,588,672,381,083,486,206,860,029,451,588,678,165,171,481,222,017,444,
615,747,724,330,040,183,903,870,204,755,466,289,516,769,466,033,096,924,107,
166,852,972,194,337,668,051,589,293,809,113,997,192,811,189,181,224,792,668,
560,459,090,242,062,834,096,693,972,491,760,515,117,880,713,294,738,361,848,
033,045,522,837,397,531,517,725,525,329,923,251,360,970,912,472,184,115,710,
537,439,649,859,551,365,402,891,591,320,688,991,348,717,907,208,599,692,389,
348,420,640,871,583,682,935,163,671,119,004,288,400,016,332,442,577,084,356,
578,558,727,916,507,683,866,352,937,080,267,489,145,226,774,508,653,299,838,
704,490,008,225,376,332,056,183,242,353,698,661,262,815,540,416,592,313,751,
631,983,490,993,886,096,633,920,315,616,651,544,669,809,313,518,014,832,550,
214,314,566,932,622,780,900,477,805,024,763,868,396,238,574,652,124,203,274,
227,960,553,335,406,566,221,234,180,279,666,784,229,801,680,690,796,732,724,
245,463,917,513,103,052,166,973,202,215,258,736,290,779,803,108,549,110,783,
611,202,875,927,489,683,677,448,958,441,348,638,653,174,126,799,488,364,900,
566,854,824,628,695,120,006,033,721,895,030,528,474,455,312,183,843,908,995,
448,229,993,731,598,042,696,943,813,809,728,792,564,551,462,507,962,636,238,
851,491,122,001,865,353,386,088,131,606,202,015,362,033,499,016,699,779,583,
431,254,675,870,097,970,002,109,232,285,723,329,168,691,705,326,634,988,843,
967,971,207,333,186,384,448,460,358,873,293,548,002,502,060,947,682,401,386,
419,697,084,170,941,235,492,078,696,447,952,708,583,450,336,461,147,350,232,
228,071,263,763,361,530,146,567,202,569,408,469,706,836,057,705,125,311,867,
107,608,611,150,134,823,286,085,452,578,294,703,698,333,128,933,084,567,507,
660,125,105,644,982,899,037,815,625,088,036,066,159,173,908,636,957,902,103,
625,891,613,330,668,140,952,819,172,292,452,258,930,337,985,487,863,192,818,
291,901,995,830,053,771,655,486,741,260,998,858,829,777,521,076,493,927,887,
283,513,175,215,957,281,094,477,742,814,449,812,731,479,403,295,291,638,413,
948,015,433,464,677,491,834,124,892,409,194,948,994,546,522,855,738,124,613,
298,011,077,721,673,756,521,055,304,058,310,334,261,288,934,468,552,985,295,
488,382,297,807,912,391,278,787,261,377,743,307,148,610,124,336,508,899,503,
894,591,219,194,126,697,326,358,734,482,136,991,324,356,599,763,851,473,194,
591,732,916,815,460,954,878,369,206,770,829,361,850,518,725,892,979,071,887,
268,741,786,260,779,067,403,986,150,089,918,075,506,189,918,976,055,599,187,
665,703,190,378,933,704,998,279,360,352,487,009,373,165,052,289,961,270,147,
567,531,178,299,294,595,253,102,959,652,895,477,116,335,446,365,698,284,275,
070,546,337,033,546,687,256,911,641,562,850,802,005,421,218,860,529,780,740,
169,793,209,418,220,283,792,754,314,864,639,427,708,479,749,329,821,864,762,
793,992,710,665,433,691,048,474,441,552,983,041,342,988,615,109,518,883,007,
566,972,495,670,534,216,285,718,619,805,455,149,577,961,503,330,658,341,851,
847,638,200,983,174,928,820,868,566,603,016,560,765,695,963,563,610,999,820,
727,380,214,069,494,650,899,436,073,262,572,523,657,150,896,684,363,837,736,
191,286,306,951,486,105,286,599,703,787,872,074,152,690,474,518,794,231,513,
355,643,963,647,110,421,890,945,560,710,350,390,483,404,937,879,282,481,099,
919,425,278,459,209,278,792,550,580,102,037,706,765,204,310,329,102,889,766,
727,776,629,026,839,496,415,312,451,912,756,718,010,730,728,812,255,829,217,
760,467,983,382,281,315,145,500,164,962,951,877,036,921,239,624,384,307,138,
130,352,657,594,309,109,401,186,508,918,303,074,511,920,543,628,244,883,670,
619,495,626,011,105,453,492,702,399,922,915,357,583,509,858,034,371,716,110,
164,622,882,316,043,273,149,091,082,588,935,979,441,404,575,800,780,793,802,
921,900,784,173,494,168,200,804,316,371,627,658,000,150,787,776,704,159,270,
238,356,237,199,448,643,995,280,738,055,511,637,152,363,979,369,716,166,260,
916,315,330,344,350,809,823,846,794,290,674,417,206,361,904,740,327,108,885,
054,784,545,588,748,117,816,803,318,558,546,083,429,993,269,573,463,876,696,
473,470,917,283,758,620,732,670,486,801,762,849,630,057,055,827,402,771,376,
121,723,415,325,775,282,328,497,756,374,873,575,843,800,608,009,706,904,309,
082,319,003,414,415,503,405,357,098,066,547,921,671,207,054,069,259,205,179,
709,418,047,766,956,397,815,406,486,014,982,174,092,073,962,027,601,762,737,
292,386,865,481,511,049,682,180,202,184,961,040,796,874,299,621,785,979,524,
894,328,810,676,273,687,588,710,337,622,582,396,355,754,471,373,363,825,004,
161,654,299,593,662,849,429,018,680,342,983,808,620,762,888,717,359,030,355,
317,274,698,141,528,522,247,094,571,576,380,842,007,183,856,356,802,021,380,
109,203,218,922,690,454,206,425,746,283,638,502,228,626,736,352,978,909,895,
959,180,864,242,115,743,819,929,786,242,496,660,612,870,103,644,484,763,999,
761,992,067,819,048,828,527,439,827,464,536,463,906,788,022,977,745,635,377,
091,143,206,086,177,575,999,801,232,619,410,093,277,179,178,295,014,833,346,
685,293,034,143,521,409,372,569,631,051,761,132,213,013,554,574,280,142,235,
323,418,941,032,053,022,093,725,715,529,769,936,217,968,947,580,693,934,333,
230,637,715,974,168,732,781,562,156,841,293,842,607,062,232,277,033,075,161,
012,419,654,208,759,337,775,225,476,903,424,743,281,820,474,249,031,487,056,
897,761,388,915,483,329,177,119,541,936,482,936,811,038,408,681,948,459,115,
829,538,417,208,684,739,939,683,505,623,223,183,503,491,106,403,178,812,438,
951,654,949,615,776,048,518,511,913,811,475,234,816,584,653,305,986,454,494,
491,101,855,672,666,503,295,267,881,788,403,715,344,409,646,837,253,538,738,
088,306,804,186,858,126,935,627,203,465,554,078,530,117,403,436,267,933,179,
475,155,647,712,924,736,786,319,521,005,822,190,667,644,952,867,679,168,194,
179,268,637,117,236,084,434,520,458,166,586,265,874,537,225,432,776,191,304,
323,103,751,117,080,288,303,151,318,815,794,098,088,156,400,985,488,516,016,
862,029,490,728,301,075,334,307,197,223,371,704,374,060,573,490,893,124,838,
002,357,742,018,493,430,115,566,767,948,917,127,994,177,206,782,654,997,289,
694,280,995,502,814,217,908,010,486,539,710,492,737,537,423,905,730,010,706,
888,712,877,847,481,860,317,213,584,048,538,112,361,974,729,523,242,152,185,
150,102,432,832,729,564,817,432,569,256,745,346,130,669,346,392,708,601,290,
796,100,156,102,448,267,732,752,872,479,781,884,010,021,741,989,489,346,252,
873,397,458,821,180,855,042,051,484,286,747,670,131,752,663,747,729,071,484,
836,936,283,414,318,441,877,992,940,132,796,085,511,844,497,620,454,304,660,
793,614,562,855,029,682,257,335,035,299,271,043,650,763,763,902,860,771,120,
635,133,618,423,170,262,929,645,734,568,768,916,637,923,544,332,002,641,515,
578,889,139,239,119,104,580,848,111,118,159,081,124,793,842,066,908,452,275,
987,346,709,479,620,247,702,292,886,158,136,680,283,918,112,439,083,055,204,
746,335,019,549,140,480,377,905,109,433,086,967,724,982,809,783,447,487,544,
440,035,064,667,990,930,550,363,005,924,825,567,505,930,749,199,612,794,184,
698,064,913,867,467,939,452,905,539,825,613,372,172,549,674,708,249,541,159,
246,717,116,905,068,783,000,547,997,234,347,014,011,471,666,751,562,983,417,
611,610,711,831,308,119,316,742,610,624,661,781,309,258,892,180,024,524,571,
740,098,741,956,095,079,149,987,447,199,170,249,145,166,702,823,553,264,859,
929,123,702,300,923,193,216,155,477,619,525,614,148,895,953,003,609,829,877,
707,161,970,372,208,381,404,354,047,672,328,833,656,857,652,679,763,329,151,
719,012,163,757,729,956,830,012,009,882,477,219,437,916,539,800,317,367,908,
189,481,397,923,613,536,270,065,939,651,549,830,078,824,651,914,504,218,508,
420,040,119,804,998,606,144,757,277,200,485,088,595,466,809,658,161,542,054,
590,907,810,381,451,599,437,885,720,284,373,634,328,448,370,645,013,668,655,
820,330,789,580,320,168,624,440,827,891,910,440,880,567,533,251,544,473,487,
286,526,727,216,290,219,136,705,539,229,727,178,150,882,239,893,017,871,872,
824,039,137,255,995,271,806,801,718,618,580,644,396,809,778,008,541,270,182,
761,043,638,018,633,277,954,406,975,678,330,934,068,721,199,071,981,590,286,
939,262,124,133,689,386,184,089,394,733,442,303,816,061,101,353,255,533,695,
007,501,448,073,769,174,293,425,939,721,712,498,814,958,713,008,874,581,924,
989,851,150,266,184,024,059,644,516,140,541,549,545,155,536,096,673,547,217,
786,089,529,167,180,656,088,366,973,679,937,600,632,592,677,920,353,447,850,
945,432,957,247,713,914,058,249,126,781,598,439,798,751,226,409,047,632,196,
698,000,418,156,677,201,712,031,455,303,176,846,723,115,019,011,627,549,120,
822,976,834,688,960,211,720,048,946,958,125,415,462,581,777,551,596,118,054,
449,179,858,664,964,566,091,669,357,217,366,634,853,618,684,148,511,490,915,
281,742,466,919,287,039,714,517,678,832,699,950,846,944,664,917,802,765,511,
162,414,176,237,969,304,912,625,533,853,765,734,883,562,523,031,933,645,081,
691,851,310,280,093,569,876,422,086,023,985,850,434,212,942,966,429,713,526,
606,912,195,026,624,531,920,597,780,642,657,736,707,823,378,217,235,010,999,
818,787,851,318,068,441,232,303,325,675,902,970,189,310,057,797,327,890,813,
888,025,672,637,556,924,299,032,783,104,770,682,882,317,466,936,225,195,375,
630,321,022,647,161,571,614,758,027,134,124,549,896,764,882,358,313,951,704,
122,256,857,637,993,416,480,194,022,526,163,126,195,880,671,145,138,683,495,
192,166,716,457,650,406,178,405,786,817,047,965,738,739,611,427,498,755,418,
541,865,644,076,873,894,272,974,238,241,991,442,751,395,004,261,189,215,833,
803,378,642,017,963,428,258,483,871,635,621,783,561,147,258,305,044,683,380,
188,365,124,264,242,408,613,359,153,531,331,118,846,971,410,433,928,207,821,
205,504,441,939,195,384,224,378,754,090,268,989,752,451,180,841,376,909,761,
924,396,059,174,051,803,760,165,099,271,225,790,172,154,353,785,176,872,832,
179,914,586,189,634,304,349,063,804,575,459,017,518,342,582,689,431,076,271,
438,316,249,119,771,423,376,346,885,352,619,500,005,818,498,451,366,950,138,
183,512,915,030,766,426,545,075,228,024,979,367,261,520,330,837,616,782,579,
093,656,987,722,080,536,566,573,041,963,438,512,654,010,574,312,645,833,836,
803,036,779,969,490,909,558,855,805,033,899,061,549,721,362,618,929,190,045,
840,559,483,061,640,697,365,618,599,974,870,788,644,280,346,461,611,424,194,
431,587,182,493,424,909,556,253,983,622,229,986,685,449,016,213,991,583,428,
508,403,856,950,593,918,537,422,159,411,417,883,584,710,946,907,521,507,026,
804,105,276,265,323,708,975,528,983,967,156,752,744,122,084,859,734,113,060,
773,342,865,783,794,363,390,104,331,904,033,664,374,537,934,911,768,585,263,
766,517,977,283,131,522,071,449,466,637,022,274,144,159,109,530,443,695,218,
070,985,550,063,303,944,550,762,100,970,798,508,499,608,853,034,810,621,218,
046,917,553,297,407,077,119,371,716,963,118,299,178,490,093,997,714,290,719,
624,502,986,194,763,731,163,243,078,415,625,401,180,505,912,608,939,467,230,
897,901,491,374,798,368,515,009,161,015,475,137,537,188,327,173,573,684,689,
129,990,372,511,958,190,880,866,967,853,359,426,699,390,263,742,647,509,036,
099,651,797,139,820,980,489,697,255,810,043,050,954,354,630,732,497,965,551,
868,060,379,227,913,641,021,850,537,117,987,137,024,048,027,321,352,421,094,
623,841,596,439,161,587,425,544,499,078,430,284,649,408,564,338,429,605,771,
213,790,541,555,938,961,130,366,070,780,371,876,821,623,999,080,879,758,759,
081,470,772,998,270,351,457,239,751,040,957,508,634,932,583,883,823,975,031,
095,473,513,813,035,298,516,963,899,728,743,852,595,332,375,465,541,728,225,
987,092,839,244,890,571,765,038,618,101,922,434,867,443,595,730,043,107,438,
956,973,692,519,439,121,768,530,703,880,250,214,667,352,911,900,929,432,022,
002,173,835,330,581,724,152,858,140,350,221,680,702,822,753,722,963,296,976,
016,556,634,329,330,147,826,017,190,548,071,139,949,759,086,548,471,284,456,
562,988,359,730,853,127,783,372,106,806,033,899,013,834,077,835,076,490,532,
797,889,677,967,873,064,247,125,932,898,242,749,440,454,187,084,843,718,676,
660,475,162,646,312,854,446,058,913,444,338,669,014,268,763,066,142,635,266,
398,186,093,260,433,834,094,570,129,669,344,956,348,993,795,228,125,806,201,
132,364,423,952,149,187,448,189,912,710,859,597,925,070,393,303,506,378,227,
312,647,269,795,973,859,224,864,049,735,880,328,445,858,121,167,982,308,943,
451,209,977,653,808,616,873,401,198,004,753,539,849,269,028,952,518,746,826,
922,339,595,576,703,344,294,993,389,120,556,170,930,878,231,434,473,216,514,
659,806,727,508,203,431,422,487,117,832,504,666,819,360,842,669,402,786,664,
256,561,832,451,982,787,705,572,085,320,496,983,016,103,220,166,641,404,669,
772,743,926,312,149,032,104,522,328,749,963,454,134,193,093,421,311,300,411,
069,656,099,298,945,076,429,224,391,619,796,632,005,361,707,215,246,803,385,
184,832,971,964,231,697,616,563,449,043,835,580,108,467,609,411,062,166,350,
718,039,023,106,162,404,706,035,041,550,618,163,527,019,070,474,366,553,163,
065,264,177,403,460,669,308,934,223,702,894,942,893,795,075,756,673,381,971,
468,826,087,203,907,663,750,939,303,211,783,359,068,026,125,583,743,319,790,
229,146,129,813,343,574,055,432,793,059,957,275,252,644,611,057,320,199,992,
019,939,424,491,172,608,430,655,219,344,111,064,755,437,283,899,467,211,718,
766,843,539,717,852,603,126,156,498,105,078,958,480,263,251,566,031,024,953,
637,390,090,296,314,552,747,323,628,549,257,873,465,392,379,194,038,950,717,
719,545,813,064,543,897,432,384,068,166,463,292,396,318,832,093,233,696,143,
711,566,586,829,558,830,107,336,110,806,422,801,639,080,511,519,169,749,356,
310,408,352,734,484,219,394,725,885,910,465,502,199,574,795,618,226,769,241,
458,608,947,775,488,092,331,205,408,289,415,176,484,041,426,121,914,514,206,
299,990,279,254,549,827,518,777,875,025,678,272,396,267,571,125,738,005,944,
476,041,518,597,553,434,391,565,856,302,009,641,955,892,573,600,447,535,745,
925,993,925,856,342,115,762,058,195,912,753,078,926,619,784,131,923,464,622,
238,554,156,394,608,219,425,123,180,779,744,606,550,178,933,189,492,564,426,
270,134,445,769,928,358,682,204,908,238,884,568,625,407,557,289,469,641,211,
228,881,676,740,753,399,645,755,046,268,864,678,417,207,501,980,890,643,805,
504,134,973,631,874,850,364,216,174,720,041,761,503,874,855,481,964,136,692,
240,306,226,536,709,465,539,816,654,553,818,712,490,555,862,661,902,774,130,
879,597,443,981,817,108,759,638,682,788,249,638,604,270,906,930,889,463,924,
428,454,627,681,389,684,967,671,070,879,322,823,824,713,070,575,157,870,263,
230,361,827,208,798,658,093,534,132,299,778,821,673,020,586,760,881,750,024,
951,522,687,888,475,726,369,147,412,762,899,845,803,546,401,243,066,651,123,
063,209,418,547,175,041,140,835,817,061,795,240,636,895,757,872,005,575,816,
091,510,814,085,805,971,878,081,526,449,413,024,578,777,075,383,568,050,968,
329,125,263,609,711,207,121,005,430,941,636,502,736,749,380,984,372,730,189,
144,349,979,452,697,221,582,210,552,837,307,153,435,610,393,112,777,386,409,
289,787,133,439,352,736,141,054,166,252,675,205,441,337,661,019,398,931,504,
752,426,112,553,656,908,428,464,753,144,658,138,106,438,948,770,483,311,630,
701,702,097,474,671,714,659,054,144,195,701,704,186,302,993,560,049,229,694,
065,852,886,022,365,310,738,956,697,589,738,223,394,821,680,934,004,696,722,
659,175,561,328,203,376,337,842,605,307,322,884,536,093,987,827,669,941,068,
717,685,118,227,796,893,897,224,137,831,384,161,583,508,244,739,401,316,636,
657,471,930,075,725,988,849,375,909,772,209,844,459,076,722,384,338,534,736,
759,122,200,784,903,162,952,179,733,938,305,442,927,367,013,045,518,420,783,
278,484,083,809,697,903,064,003,063,841,197,336,872,785,432,836,038,030,595,
544,506,425,490,313,655,906,491,128,484,574,131,112,035,556,585,810,135,600,
712,061,897,197,353,720,875,118,833,060,208,437,799,382,509,536,489,653,449,
752,561,529,762,356,165,302,830,262,751,957,906,702,905,508,611,373,258,817,
894,911,438,870,287,362,439,136,889,363,308,558,908,000,697,054,049,722,268,
029,249,811,405,064,807,232,443,934,043,102,720,073,425,060,325,678,739,048,
290,036,315,067,725,136,775,873,663,280,421,687,986,305,375,751,482,806,972,
292,998,960,686,512,606,540,377,052,670,212,953,598,028,360,709,126,786,116,
486,202,604,525,970,660,931,709,551,965,134,363,690,276,211,218,824,930,147,
489,653,564,837,793,413,487,483,963,412,674,789,699,683,390,925,075,536,849,
575,797,592,887,033,971,120,318,662,583,019,557,405,512,182,416,601,868,493,
774,611,420,152,319,493,134,168,810,244,608,066,362,817,487,803,585,904,405,
960,395,978,022,076,391,832,551,177,839,816,508,217,053,402,281,080,207,869,
892,416,333,237,204,749,496,659,363,679,447,654,043,424,287,557,217,287,282,
600,848,448,271,169,831,044,278,372,143,562,437,666,042,828,458,465,861,757,
612,529,655,469,740,129,321,419,531,179,687,340,244,031,786,750,905,836,067,
553,776,180,472,244,259,124,649,409,935,969,362,946,254,050,901,558,323,244,
968,151,220,963,871,312,168,794,082,397,908,977,783,229,040,291,625,281,569,
384,206,891,713,213,787,845,934,162,892,526,582,646,557,302,870,250,210,365,
761,568,846,131,086,443,924,737,875,089,939,084,897,539,393,721,471,827,372,
894,763,866,295,937,124,137,277,523,882,226,805,106,433,201,640,565,768,034,
339,354,360,944,078,700,944,295,609,930,352,010,438,880,030,646,949,163,725,
474,291,358,223,101,188,777,825,580,225,209,291,639,605,891,522,933,054,151,
327,650,695,060,808,846,544,865,272,345,099,125,005,446,241,326,060,193,668,
550,948,244,918,388,639,496,280,449,200,308,312,591,259,329,203,612,779,981,
362,512,735,722,831,463,812,320,240,343,532,558,341,763,838,645,446,390,095,
559,773,780,887,417,913,082,554,641,536,534,787,319,566,661,166,483,460,297,
050,706,084,076,419,569,128,057,311,262,232,378,857,839,321,905,190,311,497,
684,607,329,023,335,264,985,343,185,592,364,760,926,107,940,631,731,589,270,
038,537,414,961,140,721,525,915,557,761,214,032,421,500,175,285,263,517,043,
261,515,568,538,478,044,713,328,883,973,695,909,151,241,035,986,185,746,871,
540,350,334,061,003,070,721,332,903,840,041,963,548,202,121,186,765,792,094,
916,258,821,343,790,659,927,524,144,978,347,463,385,350,507,270,596,079,203,
443,185,381,876,715,239,264,382,201,804,782,190,192,594,131,883,492,600,135,
338,313,935,474,661,642,700,660,471,885,599,805,467,405,012,115,234,607,095,
037,677,611,056,678,059,803,965,896,908,057,524,791,172,350,021,741,721,339,
933,103,974,822,745,844,531,184,164,237,138,264,028,754,892,338,679,363,947,
402,384,411,026,786,869,196,281,062,478,368,750,279,396,961,197,511,706,467,
923,901,255,467,393,239,210,297,542,229,513,770,273,759,124,472,323,416,902,
813,192,359,434,607,710,137,745,782,018,853,959,214,649,444,392,788,051,583,
474,253,517,920,673,357,182,796,985,598,357,768,441,591,995,063,442,593,197,
941,467,529,596,174,385,622,067,064,359,801,713,869,872,141,243,576,628,441,
090,691,793,772,861,831,432,205,463,042,250,591,539,171,375,118,725,171,019,
965,821,681,944,129,853,999,682,946,823,001,653,228,455,437,479,432,251,343,
997,012,170,076,764,895,027,877,966,971,669,232,944,671,772,964,569,548,760,
175,636,814,501,607,365,438,686,595,732,344,766,973,424,745,853,693,792,006,
028,971,547,344,171,958,679,891,771,455,878,964,760,655,057,450,591,798,351,
220,347,679,901,458,701,699,820,122,826,587,925,480,144,498,029,113,958,949,
793,343,469,157,630,725,084,811,409,140,565,231,134,671,762,335,696,003,891,
492,513,857,815,714,751,111,107,408,277,404,620,897,992,350,990,650,980,506,
155,786,736,815,606,077,156,242,199,377,539,990,988,187,159,284,036,440,314,
114,730,783,004,108,143,219,930,352,418,496,052,252,598,842,208,349,332,954,
871,521,242,255,418,025,340,498,177,921,766,629,186,179,270,160,806,151,503,
520,676,654,980,292,520,668,344,646,322,605,690,581,497,713,612,754,858,693,
406,488,094,398,186,476,596,840,074,339,273,018,301,558,361,926,617,687,856,
923,759,486,701,891,760,504,145,288,188,660,671,298,777,028,473,467,740,870,
773,532,555,582,880,015,627,782,648,950,032,834,964,299,930,793,164,778,617,
931,879,194,696,635,014,041,874,297,100,379,573,282,269,853,637,776,091,241,
462,432,850,045,419,144,033,207,931,319,810,976,786,540,421,461,953,181,810,
883,515,713,393,121,167,637,606,066,371,060,438,621,941,479,242,085,090,370,
523,435,181,083,118,065,932,091,003,552,276,565,909,385,803,796,575,430,002,
678,299,837,170,070,963,879,913,242,269,224,913,378,917,229,478,819,723,966,
634,819,608,185,051,901,716,468,485,689,919,121,252,857,099,259,946,692,384,
265,093,472,687,858,379,377,989,719,482,787,737,061,859,616,529,900,860,332,
880,909,944,879,625,696,084,666,409,192,851,970,689,355,096,338,746,962,593,
821,880,493,783,143,270,906,937,635,527,017,779,474,666,314,180,898,341,175,
963,131,534,856,754,814,178,555,198,310,406,034,128,646,661,080,859,480,024,
421,687,214,922,234,899,523,015,003,282,179,845,629,925,555,126,899,913,282,
849,744,495,261,471,751,729,700,800,755,621,556,777,207,408,001,543,112,952,
527,622,966,150,115,837,412,885,971,349,231,645,795,111,339,515,850,735,597,
471,582,845,339,723,680,106,278,732,138,828,767,566,177,555,305,571,887,759,
362,844,568,714,527,415,758,017,351,132,344,360,063,363,102,542,658,510,564,
270,186,137,732,692,807,154,311,423,181,627,076,074,022,132,414,904,946,715,
922,951,938,981,331,790,166,572,127,627,379,160,894,103,173,337,003,495,530,
727,572,831,198,958,748,557,814,187,540,768,194,890,941,246,043,820,861,677,
076,344,438,115,383,882,964,385,054,806,892,527,315,565,269,946,087,508,912,
907,632,990,524,927,804,247,500,021,795,196,596,244,411,905,514,415,391,514,
901,202,098,435,402,694,287,041,127,965,248,370,287,227,996,624,125,466,218,
699,843,989,241,089,024,272,336,734,977,181,499,088,750,328,925,677,138,982,
627,386,773,334,254,116,022,999,415,073,917,814,712,663,655,916,698,944,774,
247,293,895,972,509,458,214,897,925,176,092,675,088,294,802,181,800,677,534,
201,955,248,270,338,289,055,802,093,623,117,917,018,846,454,082,831,795,948,
980,699,955,831,362,812,164,514,656,117,470,607,376,591,675,325,675,238,783,
591,540,085,468,493,032,523,103,041,231,777,623,044,732,186,458,782,313,128,
423,342,462,030,666,239,987,719,158,514,283,856,237,090,591,086,753,554,430,
426,001,301,944,682,768,468,495,769,316,278,221,033,601,978,041,247,063,611,
619,108,179,624,506,567,974,632,543,734,704,577,932,280,021,380,413,575,628,
890,248,608,648,484,400,931,370,791,295,118,364,470,405,635,906,927,507,884,
642,900,460,061,503,627,138,683,097,896,586,170,666,045,227,596,655,963,471,
742,646,926,579,099,310,232,473,621,359,057,477,935,283,250,495,922,998,550,
405,537,201,248,504,255,494,197,706,990,866,900,174,091,832,413,003,441,135,
510,008,038,085,313,297,171,700,989,200,453,721,347,744,610,649,027,477,768,
046,369,675,913,296,469,466,288,104,148,984,366,040,252,807,438,612,443,140,
160,595,749,395,676,997,079,990,983,470,857,657,339,703,649,834,027,804,092,
829,354,580,335,952,361,579,812,321,597,377,659,535,419,358,555,871,351,648,
396,704,893,033,825,108,908,761,639,014,371,151,854,309,084,832,106,730,798,
612,182,112,666,209,209,503,566,368,090,159,180,993,927,890,930,807,206,418,
560,774,639,971,510,415,698,420,197,618,266,980,438,412,386,079,005,940,393,
150,229,224,744,052,462,850,435,421,188,921,354,428,366,357,759,616,072,207,
038,554,426,579,724,071,289,824,098,496,293,834,345,171,245,445,898,058,440,
518,674,282,946,458,973,899,104,592,301,359,995,910,825,738,365,240,866,297,
970,106,349,202,555,921,952,463,545,335,761,100,939,809,390,994,870,719,216,
538,088,415,456,387,587,388,239,077,669,112,573,903,409,395,484,896,486,895,
820,266,968,267,693,445,468,626,061,274,473,190,880,239,234,260,858,114,253,
561,133,836,451,246,451,128,982,229,357,538,465,794,180,800,592,141,466,284,
990,491,192,027,082,937,159,162,264,431,202,755,090,886,702,554,036,630,481,
010,293,673,005,374,403,967,272,226,071,660,115,629,169,258,387,474,661,070,
953,671,557,990,511,602,818,341,748,474,856,682,471,062,175,612,392,300,439,
984,075,770,598,073,689,291,607,824,442,575,826,686,189,300,528,010,520,275,
264,459,400,735,482,327,074,598,194,088,395,595,783,357,291,350,926,786,244,
682,726,423,071,296,528,160,001,028,964,146,509,822,085,178,450,112,788,969,
628,267,054,624,180,332,344,106,450,941,502,487,514,237,802,610,188,727,476,
282,371,765,655,063,072,393,471,250,586,704,305,318,935,882,252,411,996,200,
314,066,410,784,449,568,376,920,006,097,384,483,786,962,763,687,539,076,866,
348,757,643,245,777,685,599,861,868,584,986,340,532,257,973,191,567,338,861,
967,405,955,158,152,565,019,938,549,847,021,792,747,900,549,739,775,240,341,
448,892,130,020,652,007,623,657,963,827,875,199,339,520,595,408,695,801,483,
838,374,624,807,661,700,893,731,643,070,820,487,884,284,085,073,422,318,685,
711,909,806,460,999,480,331,836,535,897,949,539,352,079,328,906,902,865,298,
565,155,377,191,702,518,087,630,225,972,333,693,931,204,570,034,764,744,158,
687,334,258,609,743,174,354,174,867,962,726,893,067,102,874,770,392,065,579,
224,450,080,859,835,908,690,646,002,512,479,566,742,189,637,317,761,813,104,
318,254,105,078,972,890,709,550,367,705,482,762,289,824,657,672,378,948,013,
750,251,461,611,167,742,056,056,669,003,365,735,162,425,684,447,570,734,175,
287,538,815,989,341,190,523,880,483,687,239,752,323,794,712,274,180,712,299,
913,993,433,868,081,242,830,863,274,292,536,902,328,205,884,398,108,500,092,
049,243,640,133,773,437,703,096,952,406,555,076,804,138,113,479,362,073,047,
417,681,800,344,138,755,966,415,379,779,013,290,655,195,211,029,466,629,572,
227,718,618,435,670,952,466,904,469,450,477,015,463,252,562,928,518,497,805,
504,111,817,260,005,882,929,364,399,251,170,079,609,134,724,354,900,938,640,
237,603,868,079,605,663,226,736,204,170,251,364,779,962,097,956,637,704,933,
453,981,914,121,702,126,182,376,955,740,453,105,181,554,854,754,074,410,607,
326,778,986,860,075,962,618,810,165,231,510,987,498,614,021,040,294,924,037,
875,595,597,176,394,704,415,738,188,264,559,181,474,961,676,353,148,340,750,
351,485,367,796,038,387,811,829,893,035,701,691,268,487,145,362,459,452,511,
679,125,148,761,952,820,516,098,342,046,631,007,772,573,868,184,781,633,650,
903,798,922,698,330,882,520,384,541,901,400,182,511,579,384,860,423,924,701,
187,942,923,166,185,396,889,355,586,100,179,255,848,543,689,889,253,808,881,
305,394,485,171,034,210,671,023,482,453,575,299,156,765,039,220,693,519,903,
340,362,655,933,905,907,024,851,982,465,548,728,265,754,551,121,157,481,667,
490,331,643,310,635,958,054,742,462,908,492,948,702,973,482,112,987,412,200,
375,761,598,003,730,045,340,088,822,897,436,040,341,516,485,862,074,665,531,
500,111,199,290,787,186,378,926,757,110,872,248,293,860,793,653,638,031,351,
504,100,932,930,918,618,415,922,949,995,736,451,911,379,732,606,623,617,169,
072,101,951,527,196,193,439,486,662,344,052,334,867,212,187,141,444,111,233,
982,036,901,807,761,848,022,314,752,137,740,689,278,026,324,056,099,115,728,
348,830,199,898,803,336,768,661,218,997,403,002,808,019,147,566,604,340,675,
169,399,714,994,959,535,401,666,510,851,661,778,857,326,608,605,737,620,575,
563,960,087,697,550,031,520,546,706,386,296,148,167,342,829,945,826,607,721,
725,754,266,785,066,663,664,235,692,834,828,743,003,648,922,674,999,056,914,
629,570,050,592,639,240,049,035,814,336,934,760,431,053,894,933,240,289,696,
720,459,501,258,145,217,141,501,811,465,089,641,228,956,374,899,825,567,841,
557,972,375,115,655,838,549,289,979,993,399,240,050,660,468,253,458,677,446,
779,006,604,586,293,736,514,821,410,711,851,490,951,520,130,348,998,770,759,
444,248,859,938,140,619,630,807,370,793,575,734,405,970,152,350,831,570,819,
308,745,882,469,361,975,113,461,093,394,099,582,278,516,808,387,633,066,321,
123,374,721,877,460,131,386,637,061,258,284,105,439,311,440,606,107,690,353,
468,728,302,468,746,017,450,665,209,477,734,215,826,442,147,026,216,135,498,
840,425,285,211,825,319,258,794,404,666,446,179,880,034,304,531,155,156,797,
495,481,805,588,821,723,282,659,214,241,417,672,775,824,637,464,600,632,668,
734,085,030,927,409,236,905,549,211,429,975,613,041,320,024,448,309,003,044,
980,000,885,783,488,019,299,897,051,583,657,237,078,154,650,133,913,907,100,
983,873,093,973,385,219,386,477,524,915,497,890,876,400,597,385,678,599,928,
124,863,203,378,791,020,285,869,913,465,668,324,652,754,254,857,369,813,452,
617,729,670,789,129,008,082,309,353,495,647,692,752,522,790,528,250,444,989,
831,577,499,205,423,270,090,428,987,589,536,931,080,575,257,923,298,832,952,
524,582,857,255,711,298,332,560,161,281,584,123,773,857,268,062,455,366,078,
965,421,917,119,017,708,889,336,289,407,541,745,686,932,980,359,604,090,477,
342,446,300,166,451,059,812,594,824,671,965,847,282,467,231,024,081,447,106,
695,788,691,262,196,433,485,381,645,860,431,284,338,097,447,804,421,269,722,
281,023,653,890,414,290,588,334,930,319,745,228,824,477,805,182,811,115,077,
578,234,201,780,470,095,211,431,852,651,545,731,556,785,861,090,872,211,272,
340,969,275,134,888,418,097,472,290,372,478,392,020,317,582,255,112,281,969,
292,514,005,974,381,111,731,745,388,565,981,972,122,390,098,400,339,021,383,
674,059,915,745,746,320,026,879,663,820,165,121,012,067,110,544,401,134,557,
378,162,318,310,015,747,112,931,994,455,303,473,797,480,355,630,821,502,039,
214,849,605,659,872,024,538,578,317,165,984,490,378,647,544,651,816,452,583,
532,408,520,228,318,061,881,259,721,939,071,575,594,981,704,564,967,105,314,
368,850,666,441,603,672,375,233,283,086,557,639,756,825,240,600,514,613,392,
760,418,522,373,554,758,164,912,070,982,754,013,407,643,748,482,224,816,083,
667,198,568,699,886,017,274,752,308,721,748,785,621,131,269,505,972,584,549,
792,771,757,247,875,270,888,768,797,922,053,378,357,586,842,384,954,193,538,
898,980,911,760,397,838,758,463,075,388,987,430,532,722,739,259,013,110,034,
156,659,140,493,425,309,230,334,626,041,722,148,644,791,397,246,850,038,265,
638,271,132,800,529,357,785,109,653,158,367,913,554,827,248,259,940,795,026,
811,736,591,775,180,714,344,361,431,381,774,296,862,793,646,221,972,638,874,
189,125,892,327,484,089,202,508,243,644,939,270,700,110,404,931,886,451,534,
630,947,311,050,477,997,767,199,726,861,951,826,668,308,828,126,569,268,560,
625,526,803,551,513,482,755,122,137,701,328,314,927,370,481,402,151,175,188,
892,330,460,582,695,341,383,594,147,514,642,114,013,546,121,454,010,005,736,
109,197,761,318,933,921,521,384,777,429,906,149,731,821,705,962,061,226,367,
508,853,769,129,395,328,417,869,878,623,069,567,476,387,243,119,814,112,434,
823,804,670,973,748,851,539,851,950,681,207,591,055,734,840,138,788,208,744,
452,520,300,663,977,328,433,695,221,699,443,556,383,698,644,276,400,855,095,
157,451,603,215,164,787,921,870,950,237,265,646,034,187,665,453,971,036,513,
685,148,770,861,177,175,450,805,349,991,383,247,151,459,411,171,181,263,194,
838,896,818,831,298,726,196,791,108,021,132,550,337,829,219,919,218,508,213,
238,008,319,008,814,761,478,293,233,601,973,140,301,005,164,568,441,947,583,
414,875,159,409,329,516,530,037,900,272,595,838,468,918,172,931,057,481,424,
231,216,592,206,253,881,749,770,676,662,086,180,249,473,070,614,678,814,403,
783,569,664,178,415,488,677,047,693,319,783,792,329,089,772,987,521,176,934,
898,063,016,412,268,257,219,052,477,830,310,616,504,845,159,042,258,251,778,
211,445,865,410,066,244,158,538,298,282,488,776,065,752,175,134,362,369,274,
482,469,168,814,327,206,884,113,429,745,621,402,866,483,514,052,817,966,942,
978,122,381,526,781,670,370,317,261,422,699,320,842,393,895,445,212,311,156,
854,978,639,259,237,644,365,938,382,140,666,236,341,196,934,331,163,997,727,
335,827,712,353,349,440,744,775,519,118,870,880,022,780,266,665,679,305,874,
907,354,148,040,975,163,492,587,907,256,459,622,779,766,479,064,252,763,286,
080,696,994,305,747,546,794,025,342,340,320,831,463,564,182,238,982,395,683,
309,351,422,944,289,425,112,125,652,056,008,977,258,817,286,336,887,154,923,
638,630,464,767,515,112,534,095,411,196,518,344,258,492,903,478,808,902,304,
903,839,634,689,753,145,992,527,078,662,280,085,244,227,654,333,762,839,004,
801,129,819,359,303,283,863,833,220,602,288,391,815,542,140,094,941,326,758,
378,792,713,414,732,590,891,319,819,225,071,161,503,383,798,640,414,381,504,
582,745,013,868,222,741,725,263,538,479,323,474,044,831,260,117,834,514,289,
516,340,202,977,696,819,812,452,874,436,380,446,389,470,920,574,358,581,595,
025,916,368,013,970,275,910,177,872,860,913,710,197,634,514,719,936,236,573,
090,240,503,656,178,532,234,221,824,620,545,807,805,958,798,995,008,736,338,
187,857,041,509,798,879,314,920,098,991,078,917,974,883,523,719,595,631,371,
021,546,773,630,569,426,468,458,535,027,902,943,942,837,695,544,243,488,938,
864,767,988,264,009,438,824,258,667,230,019,293,248,347,967,997,983,054,248,
272,441,495,685,380,888,601,224,158,276,880,375,433,464,993,996,112,459,765,
489,129,235,076,886,699,625,392,362,967,662,729,778,676,279,429,098,790,833,
422,225,100,681,282,576,418,568,579,964,924,540,137,223,967,828,499,826,674,
222,483,490,196,157,087,401,547,125,051,496,085,914,208,418,939,761,003,605,
561,418,801,699,769,610,096,238,813,567,047,783,790,779,767,395,344,280,664,
375,892,785,865,447,941,545,371,891,048,811,882,426,935,864,035,189,305,879,
318,568,324,557,296,237,343,147,473,920,688,952,067,904,395,616,836,607,574,
070,166,327,248,871,116,790,353,019,286,487,344,451,237,682,201,079,910,620,
716,767,834,924,769,916,742,760,178,955,178,339,706,753,893,251,656,092,907,
849,591,911,600,413,541,289,839,702,713,856,090,503,882,282,733,504,733,921,
361,639,575,700,180,573,079,001,338,438,215,442,849,660,488,345,128,095,714,
942,689,986,337,836,228,835,404,718,800,724,726,151,160,819,123,736,704,674,
953,579,068,949,370,843,593,426,959,019,431,915,739,319,235,881,422,877,455,
788,880,197,409,951,539,933,408,848,640,203,067,493,000,746,558,450,240,700,
816,706,844,039,408,479,410,979,083,674,243,873,575,462,786,835,817,353,644,
065,958,438,515,136,044,994,493,189,048,761,262,317,855,749,513,520,139,257,
810,193,697,041,829,670,567,561,364,923,308,788,609,247,122,132,552,932,131,
839,055,062,885,765,815,429,790,527,840,115,883,093,423,068,026,834,270,284,
744,079,992,623,747,247,544,897,674,682,414,257,680,131,338,837,389,775,854,
320,018,722,432,062,748,575,870,505,504,009,130,437,116,058,208,008,987,670,
628,304,067,803,135,231,946,015,312,076,623,399,284,657,955,951,056,127,187,
163,685,391,484,590,593,137,701,440,780,022,928,161,353,622,761,955,974,803,
166,250,831,777,755,236,206,068,811,485,763,626,093,946,894,760,132,937,971,
857,630,194,545,359,403,186,790,597,984,693,917,015,635,009,010,004,560,136,
537,746,549,101,574,003,414,364,825,316,990,366,533,005,832,002,455,759,819,
697,312,889,273,713,555,392,309,414,816,551,235,825,843,180,443,653,468,518,
811,469,039,024,802,058,057,982,295,160,600,069,468,966,555,873,471,966,372,
483,913,753,021,219,858,352,683,477,654,785,133,974,563,615,513,155,874,677,
711,143,089,281,459,926,360,660,871,659,149,725,127,464,008,529,488,404,688,
407,672,365,622,427,695,373,275,265,405,788,816,886,814,842,098,615,423,042,
329,607,849,626,751,035,169,518,459,043,324,135,626,605,503,303,682,918,560,
047,029,244,444,573,978,108,701,698,642,813,501,386,155,971,815,491,944,502,
313,485,627,215,881,670,942,476,453,792,178,673,812,322,812,486,175,827,637,
273,988,866,576,802,155,952,958,471,599,039,543,737,486,633,517,032,946,799,
058,861,290,310,764,735,184,311,709,330,575,265,840,467,587,746,740,799,674,
711,318,532,175,741,282,294,739,064,729,404,777,738,716,531,972,310,236,994,
687,576,843,750,592,695,469,743,837,668,760,826,240,444,921,349,437,764,430,
238,393,661,958,479,626,082,592,408,305,425,151,463,326,527,353,476,849,703,
263,277,709,283,585,571,233,423,313,177,525,206,194,912,688,471,140,885,398,
204,312,144,540,874,674,298,330,692,731,003,496,416,507,443,144,658,247,512,
148,669,906,565,902,309,307,783,213,468,155,206,020,026,143,823,418,931,557,
467,332,360,130,255,278,811,343,513,675,767,930,188,975,232,199,159,643,533,
969,287,214,401,347,510,730,584,459,609,831,163,971,761,235,953,547,498,787,
360,588,324,759,670,564,349,774,782,292,878,480,338,929,757,436,919,260,525,
744,847,363,009,393,968,152,597,620,604,672,095,026,438,263,116,547,073,732,
792,167,767,224,077,343,980,399,046,833,411,326,776,611,645,772,355,964,206,
213,403,287,617,652,768,965,984,565,968,013,126,408,083,586,998,302,983,286,
529,202,178,118,616,500,984,187,187,050,151,032,241,183,435,611,723,442,079,
825,273,500,546,724,971,911,314,281,161,302,172,513,189,780,239,763,145,012,
157,047,613,104,016,490,597,827,801,924,490,466,575,392,932,721,938,137,425,
185,829,845,318,162,138,063,927,101,250,108,485,030,628,642,275,817,830,370,
689,201,217,823,749,650,370,886,573,666,003,888,890,749,190,397,733,697,478,
696,576,501,957,289,439,989,421,944,758,594,171,053,469,812,468,338,615,447,
683,176,373,272,035,029,099,572,318,364,648,513,930,443,016,279,611,959,704,
600,675,667,049,423,084,323,747,727,657,020,994,157,841,719,698,955,588,200,
942,152,624,397,850,884,247,285,708,131,507,999,516,681,942,982,568,751,102,
533,004,410,117,873,062,137,448,179,196,889,040,274,968,115,815,809,028,961,
850,382,096,937,665,097,952,387,851,715,436,889,586,957,874,141,583,427,517,
509,036,462,203,219,068,914,053,122,368,765,348,386,984,545,778,085,635,399,
209,173,984,867,931,252,702,515,226,811,843,697,066,639,016,014,240,653,139,
733,444,084,383,514,281,919,723,375,559,570,729,125,021,925,322,836,462,726,
830,267,932,610,812,315,995,239,720,771,225,967,710,843,089,807,325,231,687,
257,063,894,001,923,228,153,059,824,513,500,920,754,991,476,942,425,707,180,
549,518,715,781,491,359,985,574,254,585,820,487,493,146,882,395,475,101,989,
064,162,125,244,280,005,198,376,247,802,398,084,100,169,999,837,864,529,510,
247,207,736,513,246,535,697,238,646,426,581,219,501,687,449,634,054,739,351,
419,905,705,238,234,175,939,662,476,221,886,987,963,334,161,102,547,250,465,
541,106,916,770,743,064,689,733,072,974,801,134,668,343,534,325,850,343,204,
985,399,810,575,030,682,962,770,023,193,976,538,499,599,058,680,971,601,650,
085,204,253,946,596,106,865,735,779,640,007,005,151,599,368,124,782,598,996,
106,958,633,664,212,798,240,944,640,915,569,317,557,855,147,939,734,747,576,
904,290,934,920,248,062,431,229,796,531,788,142,991,602,946,000,561,733,337,
270,803,944,387,387,327,269,332,288,183,536,601,183,406,116,659,318,095,113,
807,167,341,321,620,959,290,236,081,497,910,040,356,129,017,056,103,801,848,
585,146,769,114,127,122,486,189,171,431,607,981,831,668,985,802,311,613,837,
735,091,255,750,950,324,152,020,484,671,318,185,420,892,421,385,906,222,921,
727,524,131,557,855,274,367,942,243,808,177,950,445,087,070,063,141,051,450,
829,831,109,903,101,709,219,591,080,310,127,382,115,057,598,344,702,977,444,
996,424,184,834,775,954,407,967,808,207,233,484,943,408,983,740,901,473,666,
223,915,773,580,337,291,108,204,210,886,394,629,556,313,022,057,155,270,148,
793,269,106,148,311,404,489,781,683,642,270,657,692,099,250,081,960,824,433,
695,141,793,540,325,233,785,792,840,526,609,466,463,705,639,846,145,543,557,
578,489,269,662,336,168,474,608,314,055,968,895,605,386,300,689,599,289,124,
607,055,943,011,851,080,937,284,653,907,317,928,856,093,738,437,188,001,374,
968,214,895,466,479,459,736,619,881,169,604,953,996,099,370,926,032,257,406,
234,251,156,305,974,956,973,532,235,443,908,358,249,239,607,511,966,430,309,
111,787,298,195,949,046,986,486,089,914,491,902,958,538,352,397,153,926,829,
953,641,542,477,301,086,144,486,808,377,163,589,449,322,813,255,517,998,386,
149,898,322,085,381,814,544,281,585,167,150,108,371,240,948,670,317,627,212,
168,930,902,254,842,258,741,586,373,088,456,519,343,388,548,641,229,043,878,
450,417,177,325,826,297,915,823,711,040,556,735,203,261,238,616,139,389,765,
714,275,064,601,265,436,356,720,304,491,835,437,567,573,975,922,463,034,219,
963,979,649,966,361,000,240,574,995,092,501,656,096,629,597,971,754,265,831,
107,384,423,109,486,519,334,992,479,411,762,895,500,459,311,460,239,299,583,
566,970,517,387,840,565,222,769,462,837,684,393,327,650,490,289,325,330,269,
426,564,196,087,912,251,877,515,701,388,087,757,014,106,000,091,641,447,788,
035,440,398,444,299,373,060,831,807,189,477,157,384,405,661,840,942,090,979,
876,648,256,195,725,886,191,754,662,601,808,056,089,735,685,342,580,489,037,
919,791,024,770,513,189,342,273,081,969,857,070,516,846,903,237,414,366,673,
341,225,867,247,637,752,337,197,481,037,783,144,686,032,709,420,863,668,518,
813,682,239,874,301,189,453,098,755,354,574,855,003,208,036,106,102,292,379,
459,091,751,351,627,082,903,362,728,218,922,892,646,573,832,526,153,281,086,
296,486,990,731,932,688,801,261,095,513,902,936,898,711,317,513,601,441,863,
375,800,986,732,628,691,659,505,598,035,030,559,950,162,903,752,738,945,571,
846,668,241,889,005,202,167,621,921,951,488,650,285,776,678,805,898,293,950,
721,235,726,318,303,142,993,705,676,055,235,221,223,012,493,754,533,871,845,
377,936,926,436,932,136,502,666,616,597,352,837,857,561,128,907,391,259,051,
836,085,464,781,804,390,707,517,495,436,071,532,395,015,095,587,682,391,398,
294,010,766,305,854,465,648,043,699,203,992,971,755,290,258,747,896,614,412,
120,133,724,386,983,333,352,122,097,188,409,452,593,310,488,777,290,694,172,
727,502,051,776,594,352,453,253,693,209,601,216,579,112,765,461,292,190,010,
338,359,696,086,549,143,354,932,808,626,782,167,521,119,627,603,279,997,428,
707,201,623,489,678,277,149,068,878,844,067,051,875,324,695,480,789,515,884,
724,399,507,384,800,119,362,951,496,510,644,864,230,848,582,630,316,548,998,
664,841,927,701,872,508,168,184,728,682,805,984,727,631,025,969,215,669,273,
312,321,995,095,284,043,469,360,359,490,758,964,317,450,915,693,422,738,314,
999,738,155,683,473,619,865,767,468,759,102,724,567,328,556,992,779,104,960,
732,673,305,199,188,633,013,110,689,559,333,380,601,748,386,865,697,442,867,
266,200,174,349,790,311,470,552,782,560,183,231,270,662,115,103,570,825,246,
984,619,368,752,076,337,897,802,937,183,055,017,463,279,387,781,965,547,685,
290,444,367,203,596,405,623,584,870,136,864,963,598,278,873,676,289,178,183,
299,216,699,367,755,971,671,599,608,047,466,337,407,418,675,289,584,593,359,
752,116,962,836,933,471,059,467,945,940,159,634,359,329,294,255,586,653,148,
447,055,860,188,583,686,699,459,915,090,843,116,619,006,433,764,415,816,969,
679,688,460,510,915,303,717,033,372,352,980,318,349,232,086,349,892,606,746,
487,540,109,582,761,866,202,874,281,406,230,831,177,292,719,369,429,682,322,
602,606,559,315,740,161,911,551,179,030,656,280,874,920,023,835,874,994,601,
327,633,860,897,387,950,124,012,748,222,621,125,039,786,983,413,802,674,383,
511,578,697,043,281,167,997,226,472,537,730,404,995,806,123,429,736,127,235,
866,719,915,089,015,375,529,556,567,024,748,004,556,557,568,721,262,085,468,
529,814,235,466,880,854,233,265,492,258,480,609,566,184,969,229,650,876,993,
581,108,443,031,040,938,866,421,929,488,394,178,579,702,609,987,500,232,296,
396,787,565,144,926,330,314,521,900,757,061,654,041,700,601,065,691,044,860,
952,433,408,009,415,266,910,544,406,442,459,188,456,893,627,293,997,661,546,
459,675,698,521,410,267,911,589,294,875,731,479,755,381,680,129,282,578,733,
890,058,627,726,049,231,510,047,522,336,662,112,415,210,324,213,257,275,664,
932,952,854,751,175,650,046,777,536,986,094,144,950,905,189,836,214,965,659,
196,996,165,371,708,953,565,871,540,758,708,811,622,270,142,218,596,721,206,
011,620,752,380,601,499,933,447,731,067,078,187,997,105,807,533,825,553,638,
546,065,517,687,924,537,328,337,998,449,494,888,560,366,374,816,889,661,933,
485,150,885,241,092,217,075,486,401,734,434,731,522,385,319,379,252,184,804,
768,366,803,187,909,636,718,836,172,251,906,954,613,954,602,321,649,536,354,
024,213,464,756,195,736,900,859,816,824,919,898,254,759,072,179,370,837,009,
111,837,380,560,215,157,133,717,748,240,348,614,870,734,439,166,845,501,632,
097,159,217,705,882,585,956,037,811,284,067,527,991,660,530,698,582,160,587,
131,745,376,997,334,747,729,810,507,951,553,512,085,663,485,467,885,834,318,
619,205,234,370,617,610,836,397,399,357,747,237,442,258,650,552,083,001,769,
024,431,265,482,452,754,185,437,913,571,904,186,685,148,806,704,877,128,447,
309,451,445,050,299,347,247,282,855,521,149,311,430,421,108,646,419,897,858,
749,897,732,171,727,689,981,186,444,338,585,044,592,599,565,821,492,001,687,
029,037,763,911,195,534,017,829,140,432,609,375,243,082,584,682,619,737,838,
999,706,349,480,535,560,735,002,697,871,251,637,887,388,300,434,867,989,946,
607,261,194,260,282,809,264,328,084,014,529,718,648,763,834,893,068,950,512,
745,691,047,551,913,397,532,216,490,477,938,562,700,547,136,285,802,770,145,
569,502,470,238,091,888,902,554,240,794,490,693,437,766,558,736,952,606,403,
304,377,934,734,708,922,043,298,137,467,533,239,739,445,791,243,689,287,004,
307,675,505,818,970,650,732,010,165,270,588,692,382,629,818,988,136,409,547,
409,742,851,809,008,521,977,719,297,704,103,409,494,168,365,172,612,573,383,
948,883,126,981,865,464,121,674,736,871,293,684,140,735,901,051,829,635,563,
882,701,140,462,296,484,271,020,657,036,393,279,398,492,032,990,413,567,636,
791,113,740,785,600,188,835,084,965,446,383,820,810,481,477,211,423,169,787,
614,746,324,137,919,240,491,759,197,840,748,274,862,440,518,218,939,200,121,
755,209,986,516,788,996,269,374,625,540,263,639,483,617,537,894,672,274,722,
313,097,140,140,442,565,706,808,991,969,339,446,402,315,774,230,302,580,387,
454,259,197,963,105,879,010,672,252,720,707,099,885,805,146,011,878,081,392,
714,152,731,412,336,849,243,123,650,068,772,995,777,182,925,991,357,930,204,
221,914,772,805,456,688,913,472,907,460,246,408,319,622,336,177,447,143,398,
730,473,854,453,668,134,237,167,360,570,331,407,116,592,136,152,301,475,316,
170,539,861,480,812,034,037,268,963,518,343,992,562,142,249,495,657,569,088,
939,981,678,233,480,814,733,636,008,535,552,342,917,385,978,453,578,475,211,
025,576,310,029,190,207,366,609,278,184,832,037,897,982,858,094,413,210,857,
536,505,274,038,646,819,265,595,476,828,489,864,214,782,488,583,162,370,950,
660,664,194,432,747,061,023,697,937,547,501,658,568,640,943,520,163,406,138,
753,113,267,343,858,381,560,501,010,721,206,691,073,184,155,582,072,476,129,
827,040,624,267,769,419,727,689,638,596,726,095,450,178,437,218,960,617,461,
246,871,033,938,117,489,805,543,941,056,241,972,542,728,536,523,671,825,607,
673,753,053,460,659,480,664,341,011,490,089,433,003,265,779,145,754,903,353,
970,876,350,328,260,399,968,023,435,834,312,656,814,172,993,862,585,916,737,
157,028,208,951,650,370,618,078,702,126,294,801,917,399,696,419,857,909,284,
200,816,396,682,239,955,322,083,204,237,332,250,241,616,966,002,296,064,859,
997,813,591,847,097,970,673,537,167,719,930,121,458,783,843,106,219,381,382,
644,261,652,529,240,432,521,823,620,503,168,456,883,371,427,691,770,365,403,
076,028,995,592,981,099,160,978,855,951,082,720,139,188,744,240,947,645,293,
214,771,212,294,795,842,529,785,150,939,418,134,961,019,687,165,004,434,029,
718,960,977,949,728,930,710,907,129,131,729,750,916,654,483,326,263,578,873,
111,251,149,230,711,892,592,932,849,954,053,696,878,874,945,209,662,885,438,
229,341,640,591,928,695,462,634,076,438,636,921,450,687,990,724,109,701,435,
010,973,170,918,974,350,327,346,195,540,418,842,176,860,511,579,270,163,503,
232,978,457,336,543,746,817,784,164,209,255,996,307,405,816,106,208,243,224,
985,511,005,037,870,412,556,043,269,580,913,687,070,275,118,951,606,257,258,
798,131,807,443,118,121,994,100,752,798,715,307,052,551,587,754,709,670,265,
536,511,938,012,572,025,147,430,211,062,200,833,452,011,389,952,443,730,365,
498,783,195,981,884,587,522,312,107,161,571,647,836,715,859,717,557,889,776,
229,887,702,547,961,212,781,124,821,991,596,616,166,273,822,610,681,285,640,
792,051,184,548,198,423,922,018,447,028,914,459,657,146,278,963,309,523,695,
047,942,109,095,499,638,336,743,065,037,793,291,636,962,536,236,479,702,444,
748,266,812,280,733,470,001,454,363,638,277,134,582,196,834,760,939,616,486,
381,105,384,119,369,967,517,708,101,964,506,670,565,509,505,088,116,709,205,
921,583,595,563,742,158,286,960,107,174,728,147,217,288,446,889,543,571,414,
338,673,692,195,157,511,295,292,705,747,148,608,353,431,337,620,694,344,570,
411,593,265,895,362,714,321,066,779,148,950,412,877,093,944,383,048,433,782,
172,646,213,850,296,415,623,735,289,841,620,937,925,706,715,740,433,440,580,
332,168,122,877,153,470,431,321,881,040,843,085,578,817,251,192,140,082,460,
044,984,263,371,336,583,896,260,458,517,006,113,050,378,250,558,065,675,842,
628,321,892,495,434,293,622,015,752,693,795,639,985,715,125,128,274,276,896,
615,510,073,071,488,917,279,809,655,751,122,980,600,443,491,661,947,372,110,
691,215,201,174,479,306,933,628,923,896,929,830,594,849,089,674,228,919,154,
755,167,252,699,582,145,856,249,480,641,063,001,444,582,983,463,208,698,099,
141,274,232,453,391,278,866,328,843,177,820,787,390,274,316,589,858,140,761,
750,988,481,004,325,098,532,269,736,577,416,010,154,463,575,470,619,986,701,
621,323,560,790,571,509,813,122,698,966,346,967,242,935,764,987,005,630,323,
273,328,939,560,408,055,354,266,808,738,075,652,265,804,851,728,566,008,659,
466,165,086,806,141,650,336,568,619,466,122,841,076,625,180,515,192,289,280,
148,601,880,545,055,293,527,118,671,373,183,935,113,658,401,197,520,407,769,
136,970,309,144,931,986,650,741,000,363,308,867,776,169,040,560,675,818,395,
001,109,299,380,110,027,434,548,587,512,773,894,083,330,035,654,154,564,863,
205,371,220,987,868,759,903,278,604,515,607,559,696,122,743,364,480,936,872,
461,436,895,182,146,965,077,931,281,745,351,828,677,393,132,520,290,014,920,
478,557,790,527,436,297,790,230,868,696,617,885,620,984,965,752,162,878,747,
357,553,896,132,417,736,395,505,398,448,486,771,393,980,283,094,063,461,666,
286,513,600,980,207,045,753,693,670,901,914,927,462,330,837,509,869,659,815,
013,136,076,666,325,161,682,725,188,104,172,929,274,591,667,988,163,184,927,
319,530,311,626,165,289,175,500,438,480,663,129,800,332,136,702,433,424,172,
783,760,953,328,310,425,213,314,488,887,465,803,729,095,450,068,917,492,412,
701,315,023,089,637,675,203,292,682,151,016,059,741,101,733,359,301,401,122,
307,918,141,502,739,994,727,416,627,021,593,290,257,031,316,766,709,208,062,
391,153,447,650,335,377,100,424,088,112,777,160,061,858,734,679,965,532,520,
144,020,137,152,814,968,801,043,417,776,388,015,324,422,477,247,239,788,514,
305,032,162,196,447,120,734,130,820,880,630,965,112,473,185,625,163,985,918,
153,427,394,567,606,537,654,103,141,450,831,781,195,722,022,062,394,151,234,
284,085,809,258,377,176,162,574,774,508,498,565,211,763,623,783,250,043,000,
086,562,633,058,598,145,760,343,201,326,697,100,924,544,791,078,706,862,636,
994,239,756,204,927,747,922,915,872,475,367,167,383,602,078,992,242,238,993,
698,625,390,901,105,782,300,151,957,696,215,841,508,913,279,131,876,894,051,
942,083,284,034,894,717,284,303,600,159,952,494,417,623,746,849,371,525,125,
945,173,106,694,698,875,028,261,005,689,889,070,064,306,416,858,953,765,034,
466,000,452,676,304,117,157,439,250,774,603,334,892,482,717,828,708,236,496,
031,914,589,028,267,057,056,687,542,476,328,751,699,151,234,061,987,390,481,
773,294,169,026,798,930,343,571,825,562,405,179,664,776,755,849,179,140,629,
281,941,091,576,925,999,536,004,984,983,009,164,651,530,588,740,260,548,215,
308,298,201,509,649,359,695,645,684,738,395,159,804,633,925,618,698,711,520,
613,941,468,561,314,543,976,178,889,145,554,672,961,435,980,338,526,946,395,
329,235,620,330,321,343,039,598,337,784,099,428,478,309,783,063,187,731,380,
530,339,985,516,002,631,982,336,309,076,711,779,579,484,103,960,764,615,833,
044,532,017,197,693,999,137,338,298,005,443,102,554,323,632,225,174,378,318,
476,270,732,804,421,239,001,200,888,904,848,135,807,984,211,137,322,823,324,
924,617,134,276,886,950,073,103,770,279,625,665,715,794,448,076,665,104,050,
395,488,852,788,527,036,471,734,432,421,304,526,230,681,884,690,684,415,318,
378,230,430,586,876,775,717,534,442,076,637,781,455,216,912,264,264,017,752,
959,496,700,722,274,054,851,870,497,754,027,358,237,979,364,724,897,548,034,
897,538,918,699,440,806,432,061,230,507,584,558,570,123,972,768,429,807,520,
387,923,641,700,731,917,623,855,614,381,893,684,603,435,234,274,319,124,831,
530,409,052,046,102,136,166,617,527,943,108,688,546,845,014,566,223,549,451,
299,178,546,572,443,253,016,425,519,134,934,327,674,675,588,105,932,929,514,
864,132,091,516,059,601,646,766,542,037,640,926,457,292,467,512,573,628,842,
108,652,013,343,503,765,153,135,618,189,275,909,058,685,474,174,042,580,517,
233,111,255,128,485,833,373,988,124,503,646,915,048,949,626,725,931,938,104,
761,581,105,107,126,913,031,807,531,170,359,739,092,141,968,611,247,659,645,
295,732,644,441,277,206,799,332,861,892,898,057,693,576,589,051,972,575,041,
989,824,701,577,361,763,365,064,321,056,050,170,895,776,383,456,674,817,127,
371,751,968,835,462,032,525,750,676,007,687,850,843,825,775,348,732,662,045,
415,398,168,406,025,761,162,447,372,222,755,404,344,316,997,635,225,085,417,
460,595,902,115,641,407,209,742,184,781,830,399,166,588,212,707,330,458,910,
041,414,086,350,795,093,924,455,226,820,376,950,960,310,893,298,912,906,166,
693,498,543,406,290,115,591,073,573,384,708,503,052,279,894,530,174,513,319,
250,682,306,320,039,699,471,536,739,327,887,988,838,679,168,637,133,529,631,
350,147,997,596,285,042,602,965,792,193,857,570,503,256,170,519,184,037,089,
401,722,800,779,005,389,220,066,010,411,062,072,423,155,055,379,020,927,456,
472,511,992,158,109,788,353,475,929,391,508,689,955,552,020,785,993,668,092,
233,057,228,596,037,779,799,773,442,368,288,721,973,252,837,585,848,920,593,
626,634,004,248,719,874,229,732,030,411,553,942,964,611,867,636,902,208,653,
548,451,589,649,780,825,348,257,781,851,290,722,995,479,892,140,565,281,755,
423,078,959,171,269,877,670,872,758,794,173,307,516,064,335,448,437,968,605,
779,111,464,632,200,975,444,441,705,316,386,616,919,744,033,398,567,877,055,
559,957,242,898,726,195,646,160,179,496,203,861,306,896,961,297,284,195,781,
472,985,133,339,059,659,505,877,651,651,336,078,789,496,270,601,603,598,118,
731,568,112,157,404,429,832,656,507,321,664,910,481,782,016,271,384,741,236,
074,225,338,031,947,884,604,473,960,832,069,419,250,419,136,932,510,996,645,
824,258,590,276,663,780,662,133,011,189,347,112,690,792,546,457,030,871,595,
244,547,141,342,383,523,600,551,845,230,023,157,252,848,819,785,976,345,460,
774,958,545,662,493,133,676,329,541,767,940,575,925,441,960,038,704,605,319,
684,892,142,951,084,257,650,747,217,224,925,946,661,721,228,885,413,120,153,
409,026,806,832,993,250,397,113,697,115,750,309,111,336,398,689,324,965,336,
159,132,914,771,060,986,950,297,292,703,042,473,495,324,726,980,141,630,503,
196,621,038,962,886,743,010,599,988,370,714,504,077,143,891,067,913,223,522,
251,921,256,777,164,579,501,359,214,397,814,377,287,296,050,325,402,364,419,
159,932,093,135,266,802,431,575,432,903,149,120,067,039,680,850,767,638,550,
386,930,433,724,455,274,214,550,019,166,669,509,923,029,377,424,402,864,166,
303,999,054,901,004,694,448,998,791,000,882,139,726,724,604,625,056,510,726,
925,118,120,106,330,041,901,932,443,973,491,668,036,928,130,548,909,561,818,
453,512,047,896,330,601,422,088,398,887,851,502,789,304,910,421,685,302,149,
808,345,994,037,518,309,631,243,944,516,566,032,599,201,965,595,312,999,015,
939,667,116,493,829,029,182,724,265,199,934,941,175,503,884,043,463,373,357,
033,035,806,404,919,626,690,855,879,236,792,961,568,972,789,443,898,493,971,
427,420,092,451,736,700,675,805,380,056,715,457,196,018,478,963,784,578,791,
654,400,615,698,332,744,739,218,552,969,999,089,387,784,250,297,703,976,445,
256,357,103,247,199,991,893,318,874,249,906,794,347,979,226,407,728,224,000,
959,657,186,689,959,395,853,184,239,992,147,946,516,772,865,248,956,353,819,
135,275,609,773,641,653,200,520,670,005,455,849,857,063,523,884,208,522,147,
315,172,636,740,955,978,924,083,231,837,687,932,240,959,273,903,465,574,062,
032,106,716,341,473,352,246,114,548,499,254,741,446,654,756,523,038,223,957,
853,497,778,194,572,461,148,512,416,538,526,556,266,506,908,336,637,636,303,
201,985,562,515,143,758,290,614,180,669,032,770,583,659,155,518,923,772,834,
313,064,040,279,166,781,063,291,589,542,274,471,622,727,785,750,754,925,434,
759,401,360,049,465,088,103,585,866,678,677,629,611,211,424,437,452,823,033,
718,292,630,898,635,455,448,699,983,146,646,585,979,393,490,624,219,274,894,
722,075,553,464,849,797,350,515,421,628,712,420,108,496,714,914,990,148,918,
614,845,944,076,909,243,313,691,960,570,777,992,777,047,939,570,309,005,926,
051,178,661,871,373,657,380,360,527,461,316,461,759,967,819,504,245,241,054,
845,802,436,871,538,018,699,700,911,997,002,474,695,112,538,081,497,266,789,
346,835,908,676,072,365,044,813,971,363,248,566,732,696,927,317,654,713,271,
319,313,975,099,961,342,848,736,173,415,505,201,039,934,700,546,516,301,247,
829,309,293,984,922,013,544,776,349,706,263,893,587,806,330,619,557,795,390,
087,421,048,321,389,017,830,288,295,612,150,622,645,201,579,472,129,443,369,
216,330,086,706,115,510,028,433,689,991,741,999,794,903,801,382,831,144,191,
095,030,877,094,355,271,188,229,304,650,614,601,255,416,705,859,777,493,751,
825,397,779,867,428,984,176,153,856,714,786,803,774,193,404,205,740,555,059,
887,588,914,602,849,438,420,821,842,766,299,281,578,235,619,958,181,952,315,
524,744,764,430,073,255,144,706,304,114,025,366,778,815,805,921,916,838,294,
222,897,448,672,139,737,533,548,265,801,254,978,788,596,563,091,727,017,008,
192,640,181,003,028,193,091,016,320,047,923,917,068,177,512,408,655,908,482,
693,304,519,190,116,129,851,979,384,977,926,866,471,027,133,245,178,162,990,
338,030,578,570,185,482,392,904,136,940,437,212,632,983,761,195,803,395,120,
246,322,005,363,041,181,061,563,184,808,861,783,914,576,396,080,653,093,337,
906,131,789,427,631,124,768,677,242,584,621,263,310,116,161,747,997,532,847,
540,122,747,774,194,968,916,310,555,958,090,168,948,299,975,846,177,966,045,
292,422,378,800,326,478,657,577,640,947,791,509,210,197,101,003,764,107,965,
920,944,074,715,870,024,465,215,497,124,519,486,872,235,528,682,946,058,159,
253,719,108,515,852,906,276,734,438,590,454,412,050,283,746,273,448,854,203,
408,046,060,869,809,535,101,340,151,454,322,564,196,248,037,216,876,986,950,
412,511,892,357,810,320,433,845,594,344,129,198,299,894,218,275,909,849,635,
844,735,631,616,069,989,585,172,301,317,762,510,778,463,095,667,050,955,035,
101,281,725,343,192,774,921,002,009,949,825,961,445,871,338,898,016,921,731,
133,455,781,365,078,944,757,659,484,618,187,814,722,939,645,664,095,440,899,
506,722,045,970,521,023,970,944,413,691,026,786,488,300,649,190,770,639,289,
968,266,701,293,860,660,259,763,640,683,054,173,234,293,484,940,692,861,599,
391,963,866,958,067,986,210,443,177,331,279,724,063,238,202,452,251,647,995,
526,646,413,353,100,433,655,577,914,833,113,547,082,173,618,102,502,699,810,
843,355,010,665,104,798,315,721,023,952,969,942,531,940,043,164,274,856,996,
303,901,024,397,200,080,518,983,394,166,991,076,849,222,548,547,108,620,716,
275,386,633,113,485,048,135,679,794,673,012,472,294,818,307,694,561,636,524,
488,665,732,651,598,996,200,154,933,351,529,430,482,629,343,124,064,019,975,
044,071,624,126,711,949,014,419,599,135,815,048,306,252,292,304,134,905,055,
186,526,189,133,504,701,170,505,101,535,805,672,458,567,611,898,599,035,197,
558,693,460,054,018,063,095,497,326,125,658,382,769,375,617,061,640,209,548,
210,704,170,495,927,875,008,991,199,088,183,101,308,953,876,839,316,646,902,
575,891,265,339,607,380,547,099,296,983,367,687,735,891,132,844,841,830,598,
146,591,466,645,406,223,755,606,505,657,471,927,989,130,584,189,590,588,667,
007,385,236,600,060,373,594,827,064,514,713,016,736,376,130,674,754,404,710,
581,409,323,744,151,507,681,861,418,104,470,626,568,960,539,326,233,561,286,
824,787,265,661,083,447,768,699,561,957,295,773,596,803,391,551,216,207,477,
236,486,332,256,134,039,652,701,237,223,979,658,062,510,263,588,992,183,894,
508,345,771,150,394,574,103,788,583,657,912,169,108,083,943,084,015,318,773,
213,690,384,046,341,935,475,209,482,607,417,654,629,485,568,151,615,311,839,
186,281,664,879,189,642,205,931,835,695,265,442,107,234,941,321,595,348,368,
159,591,017,388,778,302,052,621,266,011,120,193,481,602,975,863,499,468,202,
799,089,646,005,713,919,273,191,257,333,150,564,464,642,778,912,345,928,085,
535,368,827,258,830,074,417,631,188,856,685,929,437,093,791,045,801,737,959,
560,434,209,016,878,381,067,007,607,236,700,121,200,086,763,869,504,893,197,
734,877,693,581,973,046,999,865,038,952,467,447,740,541,690,073,536,873,157,
257,538,416,971,640,177,476,921,834,865,953,810,243,723,214,486,867,935,013,
153,353,839,102,092,010,089,062,707,196,813,128,269,076,948,928,060,500,857,
844,442,030,023,057,808,377,999,133,234,586,564,744,703,402,269,570,211,070,
464,112,810,177,194,843,768,687,442,574,038,427,822,690,752,503,067,423,897,
616,117,184,256,201,242,334,536,560,905,888,637,669,812,758,352,626,215,550,
218,435,768,600,837,623,272,038,817,804,039,429,473,452,470,252,825,990,266,
929,345,148,327,904,353,375,410,596,931,638,952,119,793,622,451,535,594,137,
343,538,723,314,295,845,871,747,799,758,366,513,637,612,747,624,852,094,003,
968,196,812,322,482,675,729,335,501,132,497,559,741,112,609,511,275,278,165,
956,967,739,469,639,182,578,352,341,325,564,960,419,686,068,787,764,422,366,
311,097,741,267,233,331,383,354,661,332,028,438,610,071,063,093,691,848,885,
195,939,703,555,459,890,725,917,899,488,837,208,381,306,859,237,692,503,568,
203,539,794,266,526,299,381,459,074,516,395,789,225,340,365,992,142,084,038,
451,026,155,708,072,264,822,253,238,142,256,703,695,658,691,359,775,557,488,
405,233,490,182,555,017,399,568,260,509,278,879,987,644,709,901,882,207,996,
726,956,930,011,395,973,271,945,950,557,870,574,614,859,646,750,950,580,710,
589,210,776,348,125,758,421,905,191,273,723,601,514,541,449,865,012,913,874,
565,455,713,787,264,254,084,698,723,081,734,765,199,563,764,633,262,336,144,
209,566,250,669,502,188,776,016,446,832,049,710,262,582,410,368,487,058,347,
839,594,338,403,809,065,338,094,082,586,703,969,683,385,959,267,873,509,077,
573,372,040,230,039,045,795,667,748,884,745,748,435,322,989,335,230,512,145,
558,747,115,100,494,120,239,077,644,707,426,928,749,569,463,699,262,853,815,
362,095,072,465,832,146,710,782,483,229,315,217,178,623,294,298,367,768,869,
675,621,345,381,159,438,853,133,597,267,626,051,638,382,857,617,033,641,911,
509,144,866,793,840,302,104,668,111,496,775,509,023,205,785,392,279,789,229,
367,863,158,646,823,028,863,024,675,242,790,203,628,093,720,033,447,018,382,
570,816,109,343,413,691,596,080,421,257,542,194,231,481,314,400,211,905,901,
520,763,237,934,196,996,262,525,000,727,351,312,576,071,715,483,472,593,572,
206,136,900,075,255,487,524,878,432,803,681,325,612,340,889,507,586,487,844,
850,603,302,613,988,033,555,585,563,333,393,683,583,681,172,660,558,243,028,
338,788,238,111,570,285,989,063,937,843,139,312,640,011,096,565,182,601,023,
683,088,166,624,729,921,926,439,109,463,451,296,924,937,483,074,909,073,028,
090,954,239,357,524,858,711,759,440,716,292,791,811,223,943,930,754,772,691,
410,554,176,546,666,016,859,742,360,509,367,622,613,425,500,895,925,508,200,
357,984,138,140,571,872,601,517,396,442,898,663,793,747,507,326,370,031,498,
178,588,868,930,932,432,330,387,484,953,004,866,825,544,807,396,651,998,021,
237,394,587,957,799,826,965,395,598,036,005,540,857,168,720,070,225,613,775,
652,448,843,079,352,388,922,071,364,682,823,294,562,896,751,123,521,288,695,
733,053,969,734,656,912,854,533,696,339,895,370,096,404,166,987,879,820,225,
474,386,210,249,476,547,191,567,592,498,318,230,561,607,383,673,902,187,051,
870,700,595,469,247,202,179,153,159,498,241,516,150,749,756,211,152,648,534,
318,659,443,379,006,338,714,704,123,450,968,923,770,649,872,875,661,611,135,
441,528,469,796,030,600,708,381,645,783,263,085,646,420,832,834,644,541,783,
787,488,209,927,811,665,806,141,057,570,565,502,245,868,324,258,096,657,288,
908,664,473,591,871,362,656,136,727,168,611,613,649,176,336,921,785,331,207,
632,943,627,390,273,243,005,535,022,917,601,654,530,637,523,509,512,577,519,
805,207,032,552,145,359,127,403,719,576,580,614,822,221,528,755,966,683,014,
358,981,533,647,912,441,150,327,085,042,831,076,309,644,498,913,153,509,246,
711,277,963,086,284,332,789,673,210,260,947,467,835,736,876,230,933,250,698,
492,029,968,029,228,264,570,326,073,406,434,765,094,637,265,208,213,330,026,
044,410,835,146,244,821,664,949,966,554,675,931,595,376,517,424,743,692,580,
064,818,914,508,572,567,933,408,989,314,928,761,014,664,686,391,436,813,369,
208,227,319,735,550,115,350,989,138,800,278,947,676,684,413,616,659,923,768,
987,239,045,662,431,603,215,471,378,803,402,600,346,258,451,517,333,381,408,
655,846,837,595,526,866,844,058,182,536,730,384,022,443,378,084,835,392,746,
060,245,023,862,601,368,089,230,189,401,008,346,708,236,553,482,352,715,624,
205,044,790,189,469,011,452,688,743,007,891,033,566,397,051,410,517,824,107,
334,948,858,812,390,836,264,774,992,261,419,755,838,953,644,410,660,740,993,
813,317,252,291,604,850,269,467,471,277,289,744,007,694,749,996,700,133,805,
527,988,251,634,773,402,587,327,626,584,832,413,509,114,353,892,916,291,313,
986,225,663,505,783,505,387,158,556,211,558,586,549,591,408,477,879,855,929,
268,484,350,691,419,449,100,596,196,917,366,938,765,715,036,027,009,222,949,
041,015,311,900,174,313,893,188,880,470,073,514,976,644,861,415,757,797,918,
258,776,675,912,633,211,740,708,811,319,854,454,015,419,076,777,814,371,003,
099,451,823,845,433,676,096,160,438,434,193,782,201,501,549,185,401,252,230,
363,225,811,069,510,911,007,640,043,671,967,575,739,253,445,977,109,674,260,
431,850,872,198,438,297,415,653,922,470,949,474,812,330,685,515,409,956,563,
626,771,842,442,351,592,504,331,047,648,049,555,234,135,962,750,203,040,062,
200,203,615,409,297,720,154,709,798,816,997,431,841,645,546,014,900,321,414,
345,439,073,950,146,896,092,585,398,230,419,989,218,520,797,159,657,602,904,
139,654,836,801,309,194,531,285,855,264,809,530,692,761,835,146,409,196,435,
865,421,606,868,582,549,371,040,937,794,559,212,067,793,765,260,723,238,304,
896,454,043,789,133,051,350,623,192,824,054,334,518,607,629,032,400,829,615,
824,534,627,983,882,150,748,284,270,224,571,951,767,457,323,318,485,820,030,
789,270,283,969,679,950,139,610,844,100,465,700,464,948,127,095,911,260,976,
919,529,939,977,461,868,614,390,102,902,561,364,565,053,179,145,228,180,656,
339,938,352,953,785,286,450,282,057,328,290,809,567,955,655,913,635,459,207,
656,253,871,134,085,830,220,309,443,546,170,477,861,365,003,613,568,358,813,
669,700,130,160,666,253,207,313,382,009,251,982,718,517,362,782,629,979,461,
397,101,653,302,728,703,857,032,963,325,513,069,911,886,918,919,102,080,318,
177,918,794,395,662,742,916,199,939,153,321,604,480,140,504,285,214,018,381,
567,905,499,518,102,755,576,718,545,057,665,323,375,457,161,815,676,669,041,
813,085,826,004,948,954,541,994,141,666,278,541,527,840,619,030,729,244,003,
728,122,866,740,330,414,935,599,938,212,596,409,581,757,333,532,895,563,654,
224,004,220,859,828,717,726,299,140,086,413,371,694,458,641,984,428,987,165,
570,282,524,139,205,750,725,943,645,112,295,751,110,807,154,287,344,616,221,
492,933,633,882,033,970,307,973,024,396,844,367,153,967,148,053,688,088,559,
166,942,548,413,256,908,325,309,800,752,915,341,402,520,308,839,437,754,481,
979,758,020,736,630,610,655,591,227,768,613,609,121,447,301,138,671,990,697,
662,109,763,486,416,313,616,372,451,268,647,618,059,935,447,247,773,053,155,
061,194,677,152,536,573,727,887,871,637,278,573,268,961,364,825,796,274,575,
833,640,243,087,994,155,266,307,418,561,852,491,369,178,274,715,952,806,675,
921,058,206,910,979,767,719,735,001,868,015,184,855,394,030,580,300,901,364,
821,072,155,670,035,110,302,656,291,855,565,967,026,561,574,115,198,534,913,
889,593,175,173,987,075,910,004,653,404,717,968,286,669,167,549,607,795,926,
429,830,419,517,657,298,202,664,841,091,161,159,874,776,536,820,453,350,716,
584,265,525,876,456,857,720,960,293,771,699,705,102,404,896,841,220,677,973,
331,782,038,399,883,983,467,091,953,548,246,008,928,103,180,972,486,584,253,
157,722,363,630,049,728,409,611,472,009,372,788,631,169,302,775,623,962,728,
458,706,101,151,543,934,039,715,021,950,549,929,196,856,724,806,400,193,708,
397,904,943,198,297,293,628,347,143,153,242,027,578,622,746,968,195,298,664,
604,490,959,206,479,814,075,730,306,820,929,118,422,543,535,707,785,317,605,
090,979,053,826,595,533,012,714,757,661,078,187,167,517,138,965,062,963,765,
804,065,892,073,433,260,176,182,755,657,829,683,378,519,189,259,255,243,316,
393,586,483,571,874,009,317,121,499,787,493,689,095,493,595,750,760,842,062,
510,114,855,959,649,943,320,747,097,787,959,172,737,914,834,692,031,988,561,
314,508,124,649,069,565,695,053,863,428,009,552,053,033,818,219,936,813,554,
265,351,754,591,754,768,884,184,668,333,837,158,436,567,194,637,717,678,190,
623,140,942,941,025,085,357,616,359,485,030,521,389,917,483,287,514,667,009,
233,528,657,570,403,033,928,966,419,033,203,189,019,663,886,586,036,797,012,
131,850,048,524,565,131,089,767,481,835,226,751,656,083,811,439,092,158,915,
389,181,886,246,799,923,060,903,828,547,509,706,582,129,270,052,877,221,260,
764,622,949,677,666,044,207,997,925,521,354,377,365,673,690,509,275,674,417,
319,047,979,965,249,784,410,949,965,049,200,268,601,789,754,851,660,013,582,
089,126,137,435,831,539,581,250,099,479,257,902,379,612,844,044,295,001,084,
343,188,678,855,073,541,095,976,743,355,074,241,889,114,198,792,069,733,653,
605,769,160,110,491,122,653,914,351,678,709,673,037,435,900,864,200,039,501,
483,957,925,432,390,436,675,370,535,994,236,547,456,679,229,804,815,502,635,
512,705,482,558,732,738,197,699,907,860,174,916,042,595,478,027,286,324,922,
351,090,906,867,819,513,606,771,609,855,803,255,684,692,871,628,215,447,022,
222,608,154,944,026,038,120,751,415,354,181,020,736,152,863,694,086,223,747,
971,003,636,412,612,078,003,088,909,299,957,958,071,001,057,439,958,158,343,
147,069,334,132,517,565,350,101,882,402,340,502,567,193,045,637,414,361,674,
134,650,688,229,619,928,761,416,440,037,028,026,860,843,290,437,879,942,395,
188,217,437,167,151,821,949,177,915,146,299,039,001,803,238,558,247,336,132,
822,220,450,954,884,006,220,460,290,203,431,536,548,535,963,644,612,981,309,
059,684,379,135,521,118,193,635,465,987,446,957,596,857,068,682,389,680,476,
591,645,679,380,886,689,401,760,999,420,585,634,388,825,272,316,512,579,968,
636,908,330,245,636,583,488,283,310,467,254,857,550,131,836,372,687,604,002,
794,452,293,789,874,709,461,673,825,501,124,732,939,506,979,953,982,716,271,
514,698,088,572,744,423,995,328,160,533,873,683,036,444,695,514,955,121,447,
122,682,680,607,092,196,521,267,871,011,920,973,966,233,818,959,716,921,755,
227,326,529,017,804,689,498,807,857,667,555,071,759,596,021,898,890,641,692,
754,882,031,780,081,554,149,901,489,304,660,164,169,086,092,426,474,119,009,
174,179,988,357,788,649,431,809,964,022,775,230,878,798,629,324,161,797,359,
440,029,671,846,707,257,576,416,760,038,087,207,285,269,641,953,615,224,968,
942,470,899,188,005,919,528,267,172,984,793,975,376,545,701,566,751,611,582,
250,102,967,318,398,322,740,197,107,316,867,362,164,211,500,083,310,006,891,
402,261,089,525,378,822,975,232,287,605,833,853,276,800,168,373,967,521,774,
730,579,477,915,639,503,720,188,342,836,896,057,773,985,844,531,640,449,229,
826,589,372,351,586,461,184,180,809,060,366,250,275,120,063,614,694,956,791,
941,117,476,190,099,038,970,262,092,711,964,048,639,994,994,936,278,858,564,
688,666,715,958,073,406,810,071,474,470,870,573,110,091,247,903,575,711,527,
748,962,396,216,605,844,655,135,718,703,303,347,220,578,667,215,323,099,825,
133,123,193,950,345,323,806,489,776,951,197,934,154,349,802,693,668,727,369,
495,058,770,436,190,405,432,889,727,498,066,857,656,254,140,625,490,161,576,
225,386,530,987,898,710,824,193,440,120,286,964,405,966,172,108,854,055,918,
186,784,926,120,459,436,602,654,468,988,300,990,913,426,381,180,471,874,262,
382,902,766,302,415,486,491,621,847,262,406,959,898,774,073,847,171,988,255,
620,106,992,055,753,235,932,855,643,083,106,608,400,434,430,602,765,690,639,
462,295,966,051,714,670,839,774,114,853,051,646,614,916,878,325,130,336,391,
395,704,445,388,463,290,311,455,677,024,794,331,388,954,136,082,949,890,020,
101,343,685,347,061,226,285,883,395,229,031,608,702,850,211,884,334,918,151,
506,892,526,197,025,006,389,389,520,225,629,192,619,995,377,574,032,486,373,
318,227,850,616,906,282,114,364,096,443,693,956,466,043,650,217,965,407,326,
360,975,387,900,364,487,722,584,743,663,136,253,487,105,432,715,909,101,707,
105,635,713,832,038,154,292,448,834,185,879,869,074,106,573,895,473,690,135,
815,492,226,271,929,769,992,349,441,572,969,743,707,276,136,445,504,949,083,
169,291,186,770,064,268,308,758,891,095,025,796,603,807,715,816,552,508,011,
692,729,580,645,038,820,928,560,698,000,419,945,174,989,108,212,296,456,515,
996,241,559,382,999,157,462,905,436,435,672,445,870,069,601,080,263,058,139,
506,727,969,632,286,975,740,169,705,117,237,447,615,909,637,153,877,587,716,
965,949,422,997,100,641,259,625,164,427,243,523,463,056,623,227,041,075,213,
821,427,315,884,769,001,474,316,045,811,668,896,585,810,253,919,877,688,144,
890,062,510,249,402,986,251,658,621,516,674,013,074,157,080,853,767,536,017,
391,727,369,771,271,540,822,090,259,818,419,731,210,710,526,227,057,678,854,
211,455,279,249,121,653,422,581,956,778,640,540,586,347,406,897,196,911,082,
611,099,576,775,702,853,867,700,184,672,126,298,334,669,789,189,851,855,671,
841,069,553,941,051,291,369,919,606,644,763,268,662,686,944,696,678,154,151,
448,663,285,244,925,774,601,694,934,409,534,935,470,360,242,727,291,514,534,
936,733,522,036,260,523,185,153,036,452,819,804,475,475,450,438,165,746,161,
799,828,299,860,536,396,684,777,896,135,701,812,453,676,129,531,366,408,432,
549,119,404,489,350,343,136,422,106,415,416,041,847,889,550,615,101,326,768,
071,823,857,518,380,235,108,496,775,983,821,898,462,980,616,467,979,780,983,
466,029,522,220,631,150,280,753,310,197,450,305,694,621,654,948,595,998,004,
930,385,946,424,319,667,304,940,958,024,754,746,304,128,266,602,371,876,040,
187,795,410,686,894,675,904,258,961,935,464,999,286,658,532,166,641,108,716,
777,397,877,167,790,601,661,277,891,870,934,245,721,114,692,775,841,972,470,
669,386,832,094,863,469,306,070,718,779,102,232,349,346,585,184,309,911,515,
555,595,045,546,997,738,634,789,374,721,728,166,145,757,640,135,574,786,299,
577,726,788,565,593,616,595,704,193,228,618,614,084,065,231,055,035,016,319,
604,651,647,509,748,155,988,626,212,005,362,047,344,437,562,682,257,155,090,
881,171,301,201,404,550,360,592,798,030,192,606,921,064,978,697,615,417,788,
641,585,357,290,614,377,379,447,758,630,559,918,346,971,779,921,424,824,490,
785,119,208,585,339,649,211,204,906,127,954,337,497,094,530,165,203,624,673,
478,959,622,719,457,566,138,697,904,127,366,768,520,105,589,801,739,705,368,
135,442,517,700,143,882,100,406,964,386,535,368,543,982,035,643,251,410,084,
544,230,569,535,902,208,652,463,914,051,798,509,326,868,292,722,017,112,945,
998,111,988,577,704,836,653,462,009,319,435,173,304,419,098,207,924,494,284,
145,860,940,395,219,359,262,467,869,166,885,305,795,363,753,157,247,553,778,
172,927,279,021,037,420,683,115,585,465,601,636,952,039,253,100,247,795,522,
643,616,266,276,619,791,089,663,946,523,437,771,223,310,865,018,647,858,922,
552,974,674,378,314,103,627,006,207,412,077,721,934,949,237,929,659,225,417,
424,767,407,408,695,161,512,769,236,405,009,752,207,107,742,771,930,032,730,
357,972,988,424,384,019,224,176,245,958,159,897,315,978,730,889,928,592,615,
260,892,621,094,701,261,076,168,238,716,830,466,801,817,274,103,320,482,523,
116,585,095,116,887,812,381,967,549,837,489,436,664,123,398,837,088,884,966,
005,896,870,414,545,037,016,091,980,746,187,442,979,716,509,837,546,034,964,
881,502,612,773,859,181,295,684,599,857,610,938,760,558,286,910,137,616,611,
545,093,679,539,241,489,566,067,213,647,473,437,151,359,098,971,568,393,373,
649,455,400,610,276,798,027,605,761,420,889,193,519,696,747,465,730,158,286,
219,485,021,141,814,529,531,041,023,790,541,133,892,709,830,129,675,335,525,
804,020,466,970,494,245,779,728,500,516,945,837,030,570,733,274,847,792,096,
668,231,807,553,653,199,938,112,557,870,855,487,981,655,662,659,753,462,694,
266,527,541,306,098,393,315,879,586,242,446,066,209,917,611,076,158,413,922,
880,369,435,196,594,257,032,482,332,716,170,045,654,413,852,707,330,640,273,
797,941,183,147,097,068,615,746,551,024,620,874,465,384,516,414,004,698,102,
942,717,609,296,890,514,474,928,514,214,960,882,841,180,753,087,754,423,489,
484,374,606,654,708,894,529,780,075,801,185,801,653,213,060,914,578,976,281,
505,940,178,839,848,426,465,273,980,426,848,182,214,049,888,032,288,974,209,
855,150,811,819,439,388,016,345,869,903,513,106,717,084,704,879,704,678,457,
451,761,183,849,573,842,120,916,195,360,314,810,698,162,407,724,925,357,916,
809,960,924,687,753,387,772,307,323,238,189,351,139,813,452,160,734,252,088,
390,163,430,822,548,279,229,445,405,516,139,749,420,677,744,579,059,466,240,
482,159,335,211,785,062,153,515,369,477,659,551,635,831,242,259,212,129,926,
998,188,634,180,167,946,864,870,158,466,199,580,466,767,650,640,897,805,651,
432,641,346,150,576,413,831,955,688,436,577,127,970,967,573,748,774,344,846,
035,854,692,926,813,558,455,038,397,249,822,192,546,515,228,627,937,941,645,
745,710,908,372,166,088,669,643,354,484,228,622,517,831,307,092,939,475,379,
746,950,150,083,372,526,970,341,933,632,812,570,527,838,572,832,533,296,061,
159,632,761,821,570,080,085,000,022,529,623,395,892,903,239,776,912,068,672,
403,591,983,061,970,290,467,724,774,651,207,159,309,267,128,294,706,832,794,
324,197,256,342,957,814,018,942,534,199,314,948,215,479,556,161,506,080,237,
291,157,610,171,191,924,591,459,139,098,565,743,226,608,539,044,506,397,362,
794,981,038,764,123,492,041,391,446,381,537,402,951,787,898,667,715,824,591,
135,850,168,115,043,849,499,127,881,347,473,227,345,638,665,835,061,701,163,
315,521,998,070,592,883,434,100,657,750,637,229,295,045,520,047,881,536,962,
186,103,667,060,490,131,220,125,060,942,725,039,288,189,383,226,364,058,334,
646,125,969,799,066,158,143,069,353,458,898,894,749,646,215,696,923,088,750,
510,564,003,563,665,320,528,406,894,269,449,682,229,193,317,813,001,702,766,
414,543,449,127,100,686,007,637,290,944,945,939,505,281,771,638,558,351,647,
410,020,834,037,998,579,812,936,195,617,822,315,138,384,741,162,690,533,633,
074,382,910,264,288,982,486,415,566,784,050,646,877,298,345,636,997,025,421,
034,458,678,646,164,637,291,493,288,665,712,607,447,844,871,422,492,600,475,
291,155,329,380,037,945,384,520,623,420,321,221,966,557,318,926,843,632,874,
506,317,451,714,922,725,722,056,037,741,223,118,609,000,276,670,675,955,629,
255,234,982,178,472,108,144,830,335,118,826,316,539,749,887,226,390,630,741,
385,210,128,792,234,961,234,982,547,870,860,815,120,792,153,080,935,344,863,
048,232,298,988,692,964,167,147,368,512,190,485,653,012,327,052,231,378,327,
007,316,108,548,575,701,151,486,029,456,320,506,275,163,217,786,732,108,428,
211,042,655,567,935,890,523,098,311,747,373,759,964,959,506,685,025,193,863,
199,611,842,252,929,158,400,761,607,377,010,876,683,868,247,133,985,159,603,
645,766,586,175,140,931,664,526,692,624,362,973,499,644,761,238,281,515,965,
299,944,095,235,564,597,746,839,940,281,610,114,613,962,312,482,547,798,203,
635,078,659,808,730,757,291,092,201,019,985,622,635,661,439,444,106,312,820,
436,126,955,459,395,801,825,071,648,568,872,050,211,943,620,739,227,085,353,
282,166,196,691,464,448,351,024,507,308,515,294,267,302,333,778,762,463,143,
796,252,230,445,564,555,745,612,433,876,913,091,851,365,237,922,392,539,410,
122,211,196,658,478,273,350,995,638,648,292,668,590,456,087,706,561,655,722,
140,652,124,589,978,956,546,039,237,412,454,358,974,946,967,331,186,615,844,
184,093,471,401,613,076,887,890,113,183,098,456,010,573,775,779,767,569,566,
229,876,173,915,045,241,140,340,509,106,101,219,975,939,325,009,843,361,934,
730,319,190,406,162,511,335,922,238,278,001,269,546,717,720,256,490,551,716,
634,571,355,240,254,947,383,818,462,786,459,031,552,854,348,760,323,099,765,
720,062,296,539,317,977,237,585,459,372,459,051,140,830,152,541,371,348,513,
241,420,202,470,902,238,003,544,051,955,451,851,735,571,434,000,820,166,898,
858,828,709,785,646,839,002,101,789,002,056,504,292,625,830,827,708,027,644,
016,435,040,083,660,984,819,757,111,396,668,893,996,375,302,436,139,258,929,
010,167,594,662,742,551,890,865,577,633,055,179,857,370,807,342,399,948,512,
030,900,612,361,795,428,189,856,323,538,829,746,130,705,086,669,784,681,577,
900,465,412,532,093,276,544,284,021,207,920,272,976,334,483,052,873,993,507,
968,731,516,382,340,689,218,056,762,624,496,978,224,091,520,246,203,967,378,
532,483,089,088,976,271,636,318,120,236,838,186,789,672,911,390,535,967,561,
101,292,047,178,614,741,569,515,500,127,993,818,200,965,906,652,541,904,018,
681,947,857,020,917,893,409,654,076,950,081,361,559,936,070,428,200,533,774,
847,318,465,468,388,315,064,614,521,114,748,488,498,399,618,852,314,189,407,
576,671,626,545,173,832,750,800,183,263,417,275,902,194,996,395,325,410,060,
115,386,470,148,854,340,106,190,379,229,078,149,610,278,815,888,983,912,432,
610,186,296,984,306,180,996,428,799,553,758,332,635,085,387,275,311,588,026,
869,746,061,483,517,513,283,180,028,800,037,117,212,634,326,411,741,697,013,
681,073,545,513,859,066,454,389,901,457,542,057,694,077,348,004,509,513,794,
566,090,318,135,501,138,411,198,329,572,214,385,752,692,930,693,690,479,160,
704,859,047,135,668,642,386,962,797,568,449,545,998,761,611,364,295,646,233,
564,750,692,892,443,064,185,346,620,211,854,002,450,923,531,627,723,007,237,
240,556,358,176,741,319,929,799,671,197,613,351,324,740,047,365,125,836,613,
499,894,753,001,147,710,073,530,124,984,145,344,730,990,470,235,096,527,759,
872,900,018,053,158,204,241,241,061,521,629,678,132,994,678,988,763,447,046,
028,445,359,065,302,812,606,897,446,833,975,908,792,711,942,136,388,921,987,
183,292,378,515,376,433,622,323,944,477,218,994,725,179,668,479,429,848,137,
734,733,836,274,431,409,962,616,543,311,682,500,466,220,766,035,832,455,217,
208,835,261,578,482,519,146,034,736,999,068,624,643,075,578,285,893,717,584,
831,718,220,201,356,393,346,157,024,798,121,485,242,809,370,256,976,637,306,
044,033,267,673,739,212,439,835,769,838,950,663,031,788,289,495,794,796,323,
661,173,429,389,325,882,106,449,432,012,352,560,272,655,334,008,417,300,908,
260,583,228,264,200,320,635,160,622,684,798,240,169,522,531,652,179,494,954,
248,468,782,279,738,071,487,488,273,149,277,872,849,965,928,989,800,096,447,
821,277,555,477,853,584,628,325,457,482,465,254,249,837,150,256,268,100,750,
438,064,177,137,659,722,788,439,575,100,720,988,218,990,148,267,594,662,951,
156,947,150,329,830,075,496,580,276,842,795,281,221,745,376,327,490,328,619,
057,096,835,650,754,339,811,144,816,964,311,399,048,180,803,469,500,665,867,
493,817,703,077,351,864,189,002,393,934,784,679,411,716,409,683,141,413,941,
866,124,302,364,144,305,940,511,211,064,786,624,373,282,714,719,870,887,460,
999,522,680,954,077,990,228,794,998,470,142,800,376,814,087,164,987,325,875,
686,322,805,029,849,111,524,088,597,195,383,257,884,005,054,463,579,534,577,
578,085,390,790,257,829,179,776,337,504,172,246,729,004,811,632,556,009,039,
954,816,142,942,738,996,409,950,897,272,652,779,115,943,342,797,018,395,728,
453,299,436,063,565,762,287,611,692,762,059,274,723,981,672,153,976,556,795,
736,134,144,677,839,357,411,523,724,721,298,902,900,281,336,319,052,322,660,
366,411,262,273,947,962,125,577,001,060,754,065,183,825,688,006,946,917,266,
016,782,458,070,589,988,947,643,659,021,749,413,840,611,406,572,137,006,893,
299,261,414,681,574,921,096,021,922,658,092,728,592,138,220,975,138,742,169,
178,840,602,944,369,411,254,585,106,703,661,449,059,439,799,174,016,859,831,
077,976,324,488,715,491,210,057,760,179,074,654,755,448,084,390,848,227,122,
703,599,129,179,143,111,732,389,863,673,727,075,195,452,849,348,105,422,710,
104,782,929,639,887,301,942,248,496,813,381,063,817,940,863,195,920,606,281,
420,139,770,252,489,651,549,780,511,657,456,270,348,712,933,425,284,620,510,
995,636,943,129,544,242,396,549,945,235,096,539,073,910,835,625,378,822,491,
757,641,444,487,513,927,947,555,261,066,353,434,507,175,789,457,302,078,690,
095,285,995,641,990,911,992,096,931,443,847,837,551,243,199,446,968,795,773,
768,596,626,280,762,810,276,064,769,860,179,705,304,065,168,092,972,123,412,
201,666,574,010,379,881,543,820,420,254,127,556,445,998,475,191,558,888,236,
067,381,907,588,435,487,366,226,025,998,282,404,592,691,730,159,530,032,500,
388,728,180,258,092,236,715,997,480,974,314,345,575,334,407,432,310,998,695,
361,071,199,275,554,037,491,698,654,930,362,421,364,395,800,360,726,362,167,
082,937,882,280,286,491,273,520,556,531,594,109,598,533,499,540,116,536,335,
280,267,959,428,978,576,612,068,800,516,092,961,001,481,224,383,621,140,057,
646,978,455,287,535,027,939,383,985,259,697,071,848,418,473,970,214,564,494,
911,942,504,162,351,635,611,162,537,369,724,867,158,801,677,050,896,210,667,
485,198,028,893,736,680,890,425,089,122,599,979,815,949,125,681,663,298,373,
148,186,310,686,431,718,964,577,600,475,263,399,226,853,632,005,301,427,654,
043,512,589,226,923,349,681,663,977,044,362,830,405,933,735,990,238,002,549,
982,523,696,248,200,210,106,154,008,575,008,382,478,666,885,852,601,209,421,
425,219,708,220,329,173,309,497,771,436,175,424,156,295,815,740,497,069,773,
373,409,720,712,921,629,854,326,524,448,210,526,428,265,767,405,076,329,511,
257,676,768,823,156,923,766,267,901,764,847,518,534,906,692,313,390,985,000,
680,567,432,667,742,681,985,120,807,092,880,398,579,802,829,078,600,645,593,
933,083,196,805,238,347,271,653,613,436,204,097,889,130,091,308,722,047,313,
964,483,198,710,942,238,101,510,299,014,493,845,842,136,686,328,046,062,376,
405,941,772,543,259,025,092,400,470,520,672,954,046,932,716,587,023,500,548,
744,582,043,274,112,332,879,202,531,389,721,528,902,986,747,159,744,136,576,
911,468,199,120,041,584,216,646,228,342,347,280,186,791,667,641,135,916,488,
900,372,513,507,922,398,161,219,761,376,300,142,652,693,892,376,649,343,253,
664,876,924,884,115,135,623,894,865,048,350,111,712,818,183,527,452,494,831,
301,413,868,573,354,412,593,532,786,860,529,061,690,842,168,329,635,034,540,
246,441,666,272,664,214,119,786,236,763,955,134,269,465,260,163,519,039,735,
608,772,306,436,100,542,161,164,667,471,075,919,985,560,578,095,352,269,041,
942,854,773,955,303,531,608,951,364,860,813,581,936,449,523,582,384,963,930,
984,831,926,581,248,030,145,419,155,732,849,334,682,938,678,995,717,181,084,
643,187,212,909,630,734,234,370,590,382,574,093,575,263,280,114,529,616,790,
040,752,955,848,080,909,934,517,396,296,365,099,165,283,517,122,850,496,618,
293,182,007,093,580,126,317,643,386,226,500,164,140,495,400,817,111,025,721,
311,362,885,956,823,229,257,968,599,716,617,242,960,826,819,927,688,759,751,
555,399,861,289,774,404,352,490,729,192,633,410,581,715,251,050,894,210,120,
391,269,786,087,371,567,377,003,669,605,536,028,341,047,966,736,561,806,676,
553,048,732,241,557,376,241,442,794,760,371,372,376,277,843,155,059,390,083,
595,783,192,512,765,551,534,614,364,347,586,830,354,904,122,563,230,447,645,
002,171,608,923,322,096,450,457,029,109,872,152,234,489,201,414,087,839,450,
995,121,117,100,616,107,343,477,562,362,484,766,190,564,302,676,886,779,335,
707,539,437,917,598,206,139,230,279,470,223,723,913,170,918,017,496,108,836,
608,261,554,994,199,427,176,435,344,898,118,858,329,348,959,307,915,286,301,
278,529,923,589,607,572,970,128,717,397,660,952,309,129,129,708,521,031,104,
748,975,999,540,216,872,277,296,920,846,704,093,265,196,579,371,851,048,484,
439,443,169,423,787,339,234,070,044,481,693,775,847,760,667,294,145,440,286,
739,429,867,979,535,309,947,255,526,378,002,301,587,685,510,412,983,513,754,
675,924,571,174,136,487,245,891,446,280,335,810,921,578,892,401,553,778,101,
055,760,813,208,723,562,680,288,979,444,994,313,462,679,170,512,394,057,808,
012,903,261,666,870,499,401,708,772,422,890,202,205,039,703,802,007,397,420,
194,021,659,587,435,086,219,229,838,497,294,727,487,268,695,380,513,384,519,
188,312,559,636,312,553,029,030,687,583,230,659,200,174,083,052,338,877,687,
577,843,434,585,382,847,943,636,663,313,524,191,012,414,853,024,617,234,817,
476,784,670,751,441,699,999,742,664,481,620,578,341,790,462,930,241,837,187,
884,695,648,501,304,960,355,752,526,478,023,509,881,213,622,274,601,293,813,
077,776,529,746,137,656,140,843,432,601,202,679,614,254,739,495,451,237,155,
311,607,928,671,285,136,833,315,732,993,323,917,393,639,007,191,404,452,776,
925,216,176,710,577,104,179,816,028,700,752,695,702,151,414,343,064,049,955,
926,072,623,404,170,806,005,299,704,784,551,504,767,162,328,247,719,447,513,
509,305,196,478,277,484,167,455,433,467,480,740,966,397,213,347,060,903,073,
111,938,033,348,480,629,557,581,703,764,328,722,917,388,067,498,973,364,900,
907,484,239,171,240,545,535,192,481,583,824,550,875,280,769,230,811,059,269,
481,583,523,756,570,813,830,368,380,615,773,691,320,123,598,240,618,432,840,
582,506,685,466,836,355,540,817,248,204,069,754,368,964,927,797,186,552,228,
213,262,373,255,615,914,752,360,641,166,717,316,500,421,257,552,532,148,643,
071,629,202,132,965,104,215,707,651,429,678,303,586,211,592,791,626,358,290,
740,128,755,469,831,899,785,449,459,922,418,100,026,448,287,598,359,060,583,
116,592,757,402,433,657,860,088,810,269,075,290,068,892,506,348,676,568,265,
205,935,345,056,962,763,555,933,041,070,911,550,273,765,854,443,460,960,152,
750,588,489,536,170,407,386,402,764,625,183,949,214,445,970,177,955,018,840,
784,710,592,084,235,182,230,625,787,275,427,311,746,779,059,981,788,551,414,
818,410,665,668,072,248,818,115,719,714,588,469,687,231,362,964,931,574,195,
770,097,728,923,697,781,413,793,837,480,493,997,049,010,054,586,273,193,963,
318,117,797,590,110,319,959,671,187,138,373,701,162,682,441,838,073,984,043,
655,042,773,162,249,543,936,946,749,377,488,569,913,844,352,556,830,781,575,
170,755,282,733,588,175,210,859,795,657,629,556,135,393,799,201,443,121,929,
877,495,945,413,304,081,599,636,280,199,546,843,110,309,119,279,004,906,604,
238,285,729,731,220,139,032,518,173,262,055,064,484,949,723,009,063,596,231,
599,356,167,177,933,699,695,719,899,791,879,755,093,340,968,660,513,744,764,
510,473,076,937,278,623,687,970,919,420,170,029,212,483,053,896,138,193,096,
472,050,628,741,298,587,480,541,210,727,680,854,513,157,209,788,853,556,232,
169,961,343,670,445,181,185,361,070,136,744,957,264,120,419,016,006,395,223,
308,112,851,007,608,213,495,547,571,897,291,636,181,776,427,222,085,179,998,
614,979,391,247,830,740,922,852,380,807,840,672,693,657,699,537,734,678,281,
890,354,689,261,219,510,679,339,695,376,280,112,940,080,179,752,202,710,784,
398,976,590,313,638,679,770,547,060,535,134,773,824,586,027,824,428,316,369,
602,538,883,098,325,131,214,999,943,612,059,646,893,034,293,643,001,088,823,
410,141,616,244,664,361,143,820,116,624,537,048,092,160,131,500,857,706,922,
862,286,830,167,901,601,791,986,312,885,891,015,885,592,248,545,764,923,231,
498,922,627,677,009,198,942,379,267,332,932,321,325,747,534,717,738,572,291,
204,219,930,510,080,670,898,853,979,920,021,447,044,977,936,947,019,452,095,
513,238,162,337,188,253,274,770,687,345,430,046,697,168,457,649,618,293,342,
406,833,497,393,031,799,921,840,698,400,405,722,227,502,241,316,638,207,533,
514,119,798,369,732,924,106,415,168,567,001,245,730,626,033,653,258,556,151,
277,980,358,426,577,821,844,438,607,183,655,159,465,840,328,262,876,345,404,
312,691,743,144,634,244,656,384,429,160,825,315,356,431,530,094,687,353,239,
470,953,618,771,044,314,495,764,084,711,494,431,944,186,711,700,232,748,914,
673,464,023,364,728,599,284,579,595,543,102,140,066,882,527,381,257,005,241,
982,371,439,693,071,004,569,912,660,596,453,845,402,598,127,292,775,963,315,
712,001,666,250,575,919,804,643,356,689,457,412,757,156,460,989,225,766,543,
461,406,096,904,395,808,854,055,978,772,679,959,979,368,828,798,534,427,862,
753,966,486,180,988,242,955,802,090,854,201,068,807,139,116,754,503,699,202,
253,269,451,214,418,553,599,166,946,664,619,307,619,268,702,633,944,953,823,
820,463,142,054,201,242,508,294,382,963,378,051,269,313,328,931,910,051,357,
383,152,220,852,316,384,156,557,990,762,362,028,921,969,640,324,519,474,489,
601,521,600,901,411,627,534,795,242,591,310,563,323,328,866,594,474,321,157,
628,066,355,010,687,015,526,481,166,194,066,957,517,440,376,344,629,114,742,
836,204,284,332,909,142,123,035,873,896,456,658,917,529,559,612,387,964,052,
664,326,516,614,966,291,156,642,984,680,235,543,517,314,166,400,405,809,163,
928,940,547,818,092,881,865,010,671,729,919,225,396,296,235,854,198,117,691,
136,265,444,037,406,905,967,011,302,459,613,163,633,097,902,301,769,972,958,
050,618,539,977,760,581,618,012,003,623,603,950,401,404,258,368,692,920,584,
678,546,831,083,733,270,378,101,399,695,002,237,897,860,222,017,472,985,772,
242,465,234,651,408,967,589,429,357,553,960,125,820,239,968,554,820,093,043,
232,628,981,719,671,936,739,899,722,005,210,659,099,859,218,542,542,978,866,
590,629,449,479,067,283,305,802,831,838,823,430,945,409,670,233,210,573,921,
096,082,087,182,113,670,111,096,896,090,700,706,673,354,843,928,242,363,354,
896,242,427,351,056,353,166,015,772,530,090,577,727,056,735,059,309,688,231,
976,406,874,721,864,149,490,940,106,962,802,639,565,048,835,954,537,739,151,
298,368,623,853,478,608,176,826,738,130,275,783,002,647,210,781,815,002,754,
910,324,000,347,454,272,394,694,359,454,606,517,792,365,058,556,964,148,143,
380,433,686,980,283,498,623,125,239,081,021,299,121,997,511,842,562,992,744,
828,449,906,686,599,179,925,400,860,462,635,972,876,557,177,732,965,367,099,
041,990,238,952,486,441,917,755,899,616,820,262,461,526,642,165,192,093,086,
023,881,995,107,851,709,201,710,091,685,963,638,821,788,706,751,469,546,544,
099,941,223,880,907,484,669,845,424,387,370,385,086,690,996,452,122,740,338,
249,747,549,713,323,420,103,563,315,115,217,344,699,602,972,150,591,294,506,
911,263,432,188,032,507,765,301,355,353,762,193,223,891,548,470,572,765,128,
817,245,935,715,787,145,320,967,621,820,674,598,359,240,738,910,374,416,994,
171,191,901,972,409,445,432,687,907,876,002,984,002,248,810,313,331,114,019,
991,996,190,755,793,091,394,866,859,405,712,479,682,750,732,868,684,077,446,
382,956,486,806,661,077,090,589,430,013,909,519,720,253,327,496,578,360,859,
897,683,948,044,465,553,838,555,408,401,373,816,532,821,779,612,857,228,485,
812,391,635,685,609,864,827,044,931,178,515,590,782,065,979,390,446,773,074,
978,066,775,639,148,156,926,663,573,297,978,124,155,941,776,866,096,428,406,
226,848,022,901,393,527,619,002,335,410,341,662,331,550,316,203,560,357,400,
646,661,689,026,981,532,558,452,811,871,957,928,906,129,309,708,291,891,870,
611,390,780,930,167,585,553,264,307,304,539,243,782,253,746,230,831,494,953,
758,465,591,679,628,845,979,201,960,365,547,801,765,081,608,860,654,615,630,
848,354,069,676,489,989,443,920,639,301,978,470,097,363,416,523,044,295,021,
014,914,778,067,665,480,632,913,512,507,718,379,961,102,561,186,437,667,682,
355,375,744,434,018,678,090,954,332,511,496,023,326,642,119,031,844,950,063,
825,244,812,272,100,316,234,969,805,520,653,481,081,303,107,508,300,571,643,
091,256,777,225,762,261,709,516,464,247,938,620,720,638,816,974,268,186,225,
237,501,305,261,479,421,939,242,394,085,414,370,348,225,133,894,234,413,145,
534,630,766,087,656,664,045,819,915,641,301,923,825,158,042,108,740,623,151,
679,617,297,375,213,394,063,624,114,012,545,980,289,921,786,825,968,087,671,
919,631,038,233,250,274,154,610,410,107,697,705,643,724,533,591,782,962,866,
166,345,059,723,779,030,650,814,249,330,662,670,624,753,227,720,806,368,616,
302,552,644,965,585,473,903,168,906,768,916,337,009,393,731,142,021,365,415,
415,790,465,197,271,879,013,851,711,663,103,036,004,548,120,991,487,179,783,
474,603,265,172,866,315,011,818,925,368,980,941,214,668,335,875,296,191,911,
513,022,829,460,165,436,669,405,581,063,890,181,633,060,222,811,846,172,011,
962,030,327,484,498,105,873,925,942,294,639,912,457,681,269,852,670,365,818,
074,537,722,813,880,022,083,563,174,452,474,323,404,268,707,678,117,071,866,
350,107,517,020,661,170,508,372,772,646,332,662,373,859,383,998,332,853,467,
231,847,106,424,377,876,524,058,547,925,534,343,252,485,450,684,335,774,582,
069,424,510,126,427,214,596,161,361,191,765,863,508,259,653,881,278,171,337,
091,112,449,404,625,723,252,762,942,106,476,773,716,418,635,645,624,068,417,
136,151,902,764,352,265,038,811,293,861,420,662,549,902,945,536,281,844,298,
692,871,423,434,972,206,145,575,961,133,290,069,354,600,920,499,272,894,264,
526,905,928,314,145,896,814,081,731,301,443,579,237,373,759,291,624,615,194,
826,535,796,649,530,180,273,573,417,019,637,643,777,404,417,130,135,730,620,
680,816,007,622,588,705,831,075,128,772,839,608,624,543,529,375,002,773,370,
092,482,436,798,406,052,141,200,526,220,159,550,362,243,109,042,732,873,784,
231,592,670,027,695,655,241,774,317,570,378,281,026,764,001,680,746,858,330,
795,157,442,591,685,909,298,894,358,785,966,915,955,754,602,488,510,807,291,
179,649,254,314,837,546,114,446,046,828,511,684,171,627,710,544,551,229,977,
678,678,983,384,691,084,821,943,769,996,346,847,237,413,104,015,138,122,457,
912,434,502,244,346,217,183,835,336,924,238,589,357,051,460,279,609,088,577,
725,889,432,507,082,748,384,006,787,872,137,449,849,926,071,408,850,608,753,
819,427,581,833,838,939,329,898,862,252,392,745,939,545,376,034,350,439,382,
006,548,322,398,954,017,798,318,690,330,608,815,664,330,879,088,333,377,088,
317,090,332,064,728,051,392,781,801,377,588,183,292,156,604,016,346,548,286,
324,389,539,502,463,071,009,759,604,948,476,655,869,364,977,152,647,864,853,
363,091,275,362,473,736,948,604,258,694,343,626,101,446,237,796,877,489,971,
181,544,591,142,833,078,166,330,922,056,423,137,172,504,899,852,218,535,709,
135,885,578,183,093,666,910,025,279,091,462,221,126,184,986,388,508,720,754,
629,451,447,886,398,998,731,846,555,741,533,402,408,933,644,272,950,913,279,
726,049,185,840,400,047,612,990,666,912,712,612,569,198,176,405,435,748,201,
995,848,398,786,450,778,610,596,851,032,436,088,269,010,477,376,221,198,175,
646,260,425,307,352,096,791,525,960,162,387,840,585,037,817,214,357,026,015,
544,247,050,201,901,257,157,044,077,037,051,580,274,071,991,969,586,092,311,
129,465,192,867,203,548,448,482,429,893,553,724,228,684,920,944,981,088,237,
128,448,822,308,860,869,691,401,295,948,058,252,121,377,539,105,322,430,265,
617,317,291,146,576,343,713,895,674,780,747,512,778,757,376,919,113,551,970,
775,130,723,088,158,329,582,834,730,767,852,831,700,804,472,853,633,305,812,
537,499,641,986,993,190,577,063,584,076,428,206,382,311,832,246,795,323,157,
617,589,328,892,062,104,028,734,243,681,266,022,913,248,324,581,644,499,295,
572,575,911,096,290,321,257,791,026,902,958,562,504,278,148,673,934,991,504,
469,117,302,410,406,772,896,912,792,294,026,174,776,806,177,567,003,245,815,
664,308,249,343,583,738,854,363,034,756,754,265,829,510,057,008,872,051,988,
735,673,130,314,713,668,424,393,484,475,053,066,333,346,777,319,512,561,612,
446,061,076,871,528,203,746,906,553,851,085,965,552,133,856,364,999,727,029,
018,421,157,412,217,125,668,002,807,232,504,481,846,573,831,904,098,220,616,
718,674,767,799,320,392,117,182,272,786,844,020,029,674,073,836,166,700,988,
208,577,115,361,487,660,079,696,192,228,834,999,749,996,729,693,129,604,641,
734,585,940,665,075,392,226,491,854,949,785,221,518,331,986,968,032,270,933,
963,287,061,501,071,444,101,304,940,789,886,681,575,067,169,943,958,265,007,
485,717,098,608,018,367,383,289,601,217,658,303,381,393,797,826,396,813,790,
723,811,106,348,800,127,049,505,988,895,315,475,842,971,271,455,066,850,518,
874,788,200,194,782,725,183,924,161,830,487,745,647,415,815,133,832,382,783,
377,730,873,634,157,416,061,599,180,013,832,020,102,155,383,890,869,136,720,
919,923,997,728,426,738,623,676,671,688,158,327,672,619,000,280,575,268,709,
360,949,955,836,977,052,774,744,461,960,215,275,465,288,854,242,134,537,284,
373,878,973,076,872,815,487,417,344,264,638,930,881,219,985,868,906,081,289,
032,720,858,971,052,150,525,377,116,193,315,931,324,585,952,958,152,907,053,
978,545,577,683,335,349,801,998,065,192,799,100,349,710,883,722,196,351,970,
785,596,979,811,031,543,627,567,234,439,816,018,833,526,167,931,632,001,299,
228,829,995,075,797,745,888,036,238,155,257,026,477,767,595,777,534,994,761,
960,517,465,247,263,902,989,153,117,435,261,373,686,119,231,527,001,818,810,
422,579,316,642,746,800,641,193,199,713,720,578,654,109,196,748,206,433,267,
467,767,396,017,630,042,508,823,511,273,867,608,997,699,533,657,563,308,329,
479,096,084,963,445,301,031,313,119,317,658,070,057,289,230,677,022,209,002,
529,120,537,143,091,732,339,175,858,112,663,203,164,183,086,297,681,462,673,
249,730,905,251,688,744,002,220,723,808,026,753,667,997,960,097,298,393,861,
121,317,437,679,944,148,499,535,815,170,811,505,119,591,660,813,473,191,686,
892,383,468,458,964,151,476,917,461,226,117,432,182,286,433,534,551,234,688,
025,100,338,466,684,474,335,528,897,404,372,797,544,969,603,962,886,559,271,
845,349,789,471,971,535,585,203,954,125,304,796,755,652,391,444,660,293,616,
312,188,974,006,129,160,258,380,954,463,268,405,233,104,304,922,525,882,010,
327,988,911,694,521,287,638,458,139,613,242,490,823,071,822,816,056,784,966,
991,528,073,724,135,859,723,166,315,014,016,567,554,462,434,031,734,859,460,
959,144,103,656,781,344,522,312,266,148,898,805,342,182,100,414,612,309,538,
372,778,019,824,280,634,290,023,143,298,919,034,801,827,830,264,996,895,908,
234,734,500,910,644,940,569,627,045,307,325,238,704,550,705,542,194,009,941,
065,759,756,366,734,201,594,561,309,640,279,873,262,018,266,136,126,062,398,
194,631,334,583,378,380,104,332,282,410,494,790,574,046,124,021,777,884,336,
356,265,868,396,379,834,663,377,339,362,045,740,719,316,180,422,630,395,542,
767,446,897,761,391,253,479,363,213,355,795,742,977,378,522,502,717,866,900,
859,531,456,751,401,924,976,639,146,888,226,475,804,492,041,535,619,292,710,
746,111,852,472,929,621,879,505,366,652,788,957,205,668,501,643,608,403,737,
570,549,414,328,881,667,169,775,718,015,406,461,812,014,867,946,459,705,501,
170,671,426,791,104,475,690,632,272,248,581,235,494,931,965,207,380,028,933,
351,161,557,909,334,637,345,566,560,652,368,674,497,932,674,266,070,330,940,
188,936,634,679,557,733,606,738,586,537,024,993,243,740,344,227,101,282,724,
576,005,982,493,946,280,038,759,454,302,072,355,214,775,479,280,488,085,971,
563,530,534,594,102,282,990,032,993,823,315,978,774,744,472,390,751,137,519,
771,888,794,257,663,971,413,625,577,874,591,728,542,080,203,486,105,684,209,
081,154,434,441,399,268,668,500,125,765,380,554,673,068,777,225,808,867,441,
146,996,673,717,428,457,725,566,396,618,391,578,407,353,579,654,637,753,060,
423,723,930,216,338,418,660,105,451,152,136,027,741,796,923,007,499,724,024,
133,379,702,214,925,897,535,167,660,519,919,352,623,829,221,370,527,741,492,
384,787,888,917,174,552,345,667,007,551,144,680,486,244,504,933,279,663,270,
390,928,183,105,005,441,094,104,453,382,288,372,283,134,703,743,631,955,576,
121,236,655,735,778,329,021,638,684,963,382,982,231,104,068,016,972,989,254,
341,094,316,104,921,723,694,135,532,874,182,109,040,312,442,380,543,678,679,
972,461,490,545,145,654,262,231,669,518,316,888,568,714,862,268,902,854,215,
696,523,666,609,801,776,450,905,963,142,035,708,248,401,212,760,175,804,284,
478,599,322,588,060,295,724,823,779,716,454,888,593,043,142,042,564,008,439,
429,536,303,607,743,302,600,885,965,209,641,718,893,057,021,668,450,428,246,
568,870,591,370,715,321,954,412,310,745,043,798,319,861,038,704,454,204,582,
823,345,225,178,044,733,272,283,882,860,384,381,654,600,167,048,194,946,156,
706,540,716,155,152,812,012,854,851,618,867,555,574,737,539,410,508,260,846,
471,405,147,801,303,960,351,804,943,328,414,301,618,663,845,674,231,667,929,
526,344,826,984,648,303,418,928,825,407,849,649,336,010,699,233,703,704,376,
243,674,271,855,484,286,191,508,642,420,769,114,126,386,477,849,812,012,441,
125,265,734,061,993,126,084,987,066,895,487,841,506,531,162,596,365,322,342,
186,093,231,067,397,170,095,438,695,563,177,491,160,785,989,751,196,407,612,
048,371,252,646,172,177,769,771,453,324,249,464,867,428,770,828,272,405,613,
622,436,529,167,360,017,030,071,000,691,101,124,198,038,262,180,011,667,295,
727,038,125,977,098,033,953,881,492,121,665,039,683,730,048,239,686,501,765,
796,735,566,817,572,145,880,250,025,780,084,350,130,099,614,431,318,282,016,
935,996,597,563,149,451,756,582,959,359,588,684,746,709,457,935,330,128,005,
569,471,658,033,428,474,018,943,292,033,906,385,438,962,287,050,201,123,783,
034,170,960,348,047,127,466,971,325,719,475,031,294,075,032,357,767,349,267,
114,912,727,066,649,330,757,982,668,435,330,952,644,620,945,536,789,829,546,
164,494,592,205,405,744,977,728,914,337,238,297,036,959,063,719,885,625,563,
875,795,562,117,925,354,603,721,860,530,564,744,654,003,175,511,877,520,621,
407,320,179,218,610,839,483,430,623,476,536,521,926,220,966,414,897,091,750,
555,281,059,770,011,299,444,626,634,935,099,797,527,248,830,047,431,636,802,
418,225,441,676,694,238,549,700,470,944,701,041,489,088,619,073,835,764,988,
924,774,650,379,651,430,345,635,230,106,278,722,921,417,718,356,642,574,260,
708,828,677,100,157,868,172,614,616,482,241,593,227,542,923,710,319,965,462,
354,287,720,450,822,673,825,645,503,737,948,626,539,528,146,018,128,652,149,
077,127,287,661,690,348,702,062,812,813,979,185,360,911,205,436,634,201,070,
189,814,951,287,289,076,465,658,668,602,434,993,014,624,964,934,068,614,307,
998,034,336,808,452,633,089,934,072,083,561,474,320,364,436,333,762,122,807,
954,367,295,398,950,152,483,783,429,967,270,973,874,801,636,613,580,653,694,
710,245,367,622,585,573,609,324,083,093,849,116,959,054,956,614,393,250,963,
871,792,408,787,318,213,044,408,190,259,845,904,010,499,043,668,100,680,917,
266,927,227,461,697,957,681,695,731,038,153,774,906,892,184,517,275,787,536,
562,747,078,249,430,121,444,787,525,797,919,467,140,480,461,825,729,925,492,
188,803,276,956,341,398,959,292,531,705,630,594,944,846,668,142,125,730,989,
527,293,096,072,465,662,393,098,095,465,375,169,936,976,271,321,263,255,312,
394,779,238,483,725,507,127,561,535,611,663,556,444,410,875,477,858,286,363,
999,002,355,313,891,672,954,347,272,836,118,819,142,084,785,600,454,286,152,
170,007,800,288,326,672,498,854,076,516,931,900,698,915,213,843,677,822,221,
519,267,845,171,830,972,755,836,196,453,568,974,902,168,919,744,793,856,828,
289,390,897,972,390,096,188,004,902,997,774,903,775,933,135,369,352,602,869,
055,449,492,167,834,980,448,127,402,253,398,431,961,765,586,241,242,906,162,
769,096,301,072,820,903,730,555,008,607,491,286,717,012,932,838,841,751,188,
195,556,712,893,288,029,504,948,218,234,613,290,868,746,271,680,876,653,899,
804,437,837,696,330,683,420,585,548,456,683,417,671,373,954,192,579,172,684,
752,034,518,414,695,679,524,680,967,921,861,411,728,007,383,119,985,696,718,
652,963,369,420,664,480,884,133,218,856,862,562,966,338,625,738,212,563,848,
972,177,866,923,004,839,628,062,306,074,442,469,100,014,535,061,282,879,569,
749,163,253,131,795,879,914,309,888,155,320,144,017,462,238,637,175,786,153,
199,684,109,939,025,917,363,275,969,085,980,962,152,865,095,075,257,718,481,
148,503,494,218,172,214,285,956,640,146,660,761,746,177,142,038,214,292,831,
598,600,899,859,610,343,325,596,790,402,935,065,637,921,510,303,926,899,762,
592,858,973,094,911,042,069,941,889,069,304,658,417,684,262,272,013,752,987,
220,944,014,725,909,637,955,234,561,257,069,877,391,786,193,376,676,742,612,
524,312,665,400,700,162,902,413,211,649,544,020,920,528,296,943,865,589,896,
784,919,656,062,888,275,019,545,458,667,787,110,098,788,876,261,838,670,686,
125,904,307,959,515,281,750,979,248,562,339,437,641,671,363,040,964,072,643,
353,140,898,968,518,584,330,022,037,635,918,232,044,284,503,030,203,507,422,
689,744,980,601,655,435,729,315,157,881,496,184,300,066,114,896,624,428,601,
548,484,694,739,099,435,215,966,868,401,164,760,771,598,156,285,950,149,588,
770,870,116,529,247,795,077,591,906,283,966,588,865,957,785,903,048,403,052,
439,252,520,290,688,676,932,074,926,515,676,474,418,173,522,120,182,781,279,
087,131,489,587,533,367,606,237,180,497,610,988,026,326,043,530,191,128,677,
103,318,468,415,430,284,242,007,334,617,966,732,829,868,744,726,759,410,574,
566,735,145,099,077,036,718,428,533,840,034,684,816,847,254,223,974,317,406,
749,386,548,242,381,457,230,859,878,296,904,974,865,179,005,358,931,815,812,
595,584,679,564,096,617,347,491,681,012,358,547,100,501,500,915,228,118,551,
936,182,137,123,610,235,115,768,071,694,781,690,758,366,960,756,009,336,404,
992,441,872,916,703,584,829,704,406,968,251,473,049,980,782,253,951,956,299,
209,416,892,067,241,813,226,732,483,745,883,541,739,447,705,807,422,582,059,
249,527,077,381,147,594,454,049,790,277,804,712,346,304,867,634,143,163,888,
306,914,754,129,508,513,471,289,618,213,850,557,942,123,431,055,281,952,791,
693,073,097,973,264,659,575,733,206,258,300,492,032,729,104,630,598,586,485,
130,906,625,173,926,903,510,789,416,281,325,635,551,461,897,451,052,494,410,
011,893,401,003,007,818,114,844,748,473,092,105,923,607,299,067,160,628,704,
266,077,499,052,055,010,235,457,620,275,848,809,072,925,698,227,128,560,745,
331,547,898,594,189,414,281,486,603,812,228,696,018,201,380,800,982,427,051,
002,668,096,073,958,025,681,375,834,515,604,248,204,309,181,126,670,584,504,
561,638,250,756,667,365,174,889,823,339,340,956,804,781,579,194,563,559,205,
638,543,468,883,753,097,793,263,443,722,423,210,256,062,754,322,158,742,901,
305,468,164,632,576,573,641,205,599,962,284,836,856,322,045,143,343,400,404,
167,857,063,615,090,894,875,001,912,971,908,047,489,423,716,231,600,749,705,
631,599,214,878,434,978,380,431,982,635,290,043,655,247,547,239,482,694,376,
736,217,962,618,744,270,117,988,012,448,280,708,345,385,115,912,720,095,420,
459,010,800,296,269,287,776,520,413,629,066,948,336,929,726,893,049,121,614,
571,370,772,023,952,893,666,664,461,993,029,919,950,321,842,923,408,347,259,
787,574,448,728,665,392,886,268,821,492,265,968,799,888,764,129,087,579,839,
042,698,994,880,087,530,867,940,299,571,022,419,343,061,576,172,224,573,977,
225,447,055,981,846,935,423,523,112,393,127,736,347,278,376,908,430,565,623,
646,765,995,800,585,193,591,090,174,016,899,979,944,199,571,184,781,263,583,
941,400,994,871,714,724,257,453,333,339,541,562,735,147,002,580,830,688,269,
566,521,040,192,410,047,230,377,696,535,301,776,740,204,949,855,074,223,911,
108,663,548,227,204,833,424,855,267,654,234,102,355,496,650,525,595,307,265,
102,844,928,120,133,868,239,400,369,066,713,662,654,453,408,931,943,196,328,
038,897,148,584,919,301,823,618,338,617,580,519,453,836,503,100,515,894,851,
272,214,355,995,022,912,229,521,821,282,422,848,315,855,169,582,781,092,273,
021,243,872,495,579,125,277,310,921,812,753,908,847,599,502,189,739,223,859,
440,139,043,476,393,456,976,454,088,965,667,320,320,615,509,886,521,137,742,
779,705,028,082,376,583,717,332,508,138,430,129,080,241,379,343,763,604,013,
242,138,341,695,316,717,109,784,441,271,983,998,748,224,390,509,805,691,148,
726,083,368,565,070,610,003,277,766,008,370,612,367,740,221,825,150,348,001,
153,947,181,757,786,490,482,372,432,852,376,022,041,102,932,910,566,204,673,
331,123,056,488,715,226,935,839,096,167,809,321,203,478,603,737,585,501,711,
083,210,464,904,452,132,801,201,599,819,262,000,453,226,843,526,349,332,634,
593,913,425,000,127,071,865,710,443,085,241,341,133,242,078,433,367,159,426,
901,124,338,460,980,562,557,532,848,369,776,724,331,608,377,652,077,743,178,
271,624,355,390,016,224,295,846,623,429,625,280,212,776,574,056,756,345,950,
725,946,880,615,634,810,311,647,226,774,967,082,607,811,617,596,508,453,600,
618,269,215,979,949,925,847,093,144,279,283,491,992,987,925,120,586,195,913,
314,436,440,408,234,541,455,620,305,747,903,794,954,310,101,091,957,866,788,
433,088,118,686,161,988,019,902,034,628,509,679,223,656,657,305,783,054,151,
413,002,814,361,192,977,374,482,471,644,777,676,508,483,513,454,821,195,913,
428,631,206,607,455,047,657,679,330,993,518,658,192,785,149,973,307,022,557,
814,954,334,858,469,690,456,790,825,811,565,519,519,649,383,992,344,694,956,
688,055,376,159,111,358,558,158,360,058,727,497,602,166,779,330,829,951,781,
156,259,817,778,428,160,303,925,888,183,200,770,877,212,082,693,504,116,401,
672,054,943,922,540,928,511,629,444,801,128,250,253,295,649,674,034,730,053,
387,173,042,257,679,642,064,360,752,994,577,424,010,473,347,081,756,577,247,
036,162,494,333,379,694,566,153,659,852,741,591,211,182,480,017,127,805,890,
399,978,980,773,324,938,710,489,861,126,759,750,003,222,829,925,468,926,548,
751,988,649,609,365,245,456,333,053,993,383,090,793,089,213,156,946,358,435,
136,256,689,210,227,006,835,326,589,537,249,459,437,706,592,832,860,907,036,
543,342,407,087,859,903,324,336,944,970,924,526,321,681,035,822,383,060,456,
872,155,547,972,658,592,685,050,079,070,036,818,468,158,593,666,704,812,209,
102,238,860,775,350,982,309,071,516,147,049,004,674,199,971,662,078,633,238,
063,395,796,300,321,612,507,825,417,598,242,411,669,547,644,889,535,661,989,
396,986,268,901,925,910,261,947,553,549,665,760,962,817,274,666,172,514,406,
041,199,175,418,483,190,085,395,437,414,654,124,225,888,406,728,949,004,280,
216,189,929,239,376,663,382,109,214,270,184,399,101,901,140,907,257,506,402,
653,946,533,509,069,586,793,824,193,303,849,694,446,436,295,612,047,430,016,
923,975,109,738,961,210,369,944,493,885,613,457,482,900,764,240,918,699,918,
696,416,955,928,983,779,224,680,825,394,220,768,580,188,522,965,727,593,212,
962,949,539,337,648,842,599,510,937,452,051,140,288,062,285,562,817,639,719,
735,406,348,563,757,509,081,790,658,733,465,195,145,206,564,303,488,413,695,
531,463,790,065,036,514,388,659,882,386,316,366,066,150,952,488,671,378,348,
771,093,230,635,177,590,062,696,469,227,276,381,325,653,261,794,769,008,667,
737,358,883,522,355,031,595,776,407,135,695,976,412,468,772,952,431,980,344,
493,556,287,255,965,862,968,878,891,073,710,379,142,534,547,541,047,640,665,
916,508,780,480,607,155,302,273,874,391,468,782,837,631,036,701,675,925,371,
714,533,000,885,490,558,467,726,343,864,232,202,869,413,527,057,580,352,223,
086,413,318,990,601,479,916,183,778,781,423,464,810,500,427,557,062,234,944,
513,751,199,122,896,170,494,029,649,263,248,085,847,645,867,336,126,820,334,
287,912,138,347,188,478,998,269,911,162,071,553,986,795,334,468,096,936,127,
268,654,068,940,153,817,527,373,236,115,845,380,832,841,291,388,808,851,233,
962,380,886,259,699,243,498,033,285,221,034,617,678,023,077,335,444,844,860,
392,380,920,653,596,798,539,230,826,961,569,014,571,333,222,704,113,816,589,
197,748,540,804,765,608,248,777,838,660,814,418,915,179,745,759,052,923,214,
178,830,144,876,619,666,676,429,682,015,037,889,885,080,748,614,404,198,182,
720,107,583,163,014,000,034,352,274,445,069,295,501,673,739,282,627,086,454,
891,999,574,438,214,337,126,568,008,778,370,033,693,176,356,472,662,615,127,
644,421,638,154,693,739,885,812,538,632,317,983,304,639,773,106,906,435,437,
312,338,239,398,356,560,199,391,705,300,168,948,926,955,339,660,173,000,200,
999,459,804,853,747,363,112,059,685,678,002,187,715,361,979,052,595,755,850,
565,658,112,608,365,612,904,067,963,217,122,461,212,222,229,776,501,920,668,
262,341,644,847,390,492,115,656,715,889,864,965,069,080,456,143,119,342,235,
267,720,502,690,566,656,661,149,892,119,730,701,243,679,871,052,037,275,029,
732,751,749,675,174,733,869,674,725,946,175,522,152,135,934,366,509,151,756,
652,701,209,410,520,709,347,177,902,556,610,651,629,558,409,001,248,409,894,
937,265,686,929,824,470,821,890,556,284,289,410,475,833,926,213,161,019,622,
725,295,040,135,586,118,860,629,438,146,944,383,047,741,277,453,927,994,359,
225,453,215,320,958,468,880,081,289,248,973,687,916,600,249,839,085,428,007,
740,583,254,221,327,905,130,309,413,222,436,450,361,201,957,262,873,853,607,
041,379,395,579,034,193,933,382,536,058,287,831,323,597,994,576,837,064,033,
635,928,792,751,922,010,125,217,121,653,678,286,713,658,819,609,738,514,515,
315,996,734,918,316,545,388,553,106,835,287,564,204,269,607,062,000,459,927,
724,041,484,502,713,521,898,626,536,398,067,689,396,668,516,869,664,169,049,
039,415,030,342,980,637,983,609,199,255,471,561,028,277,257,080,531,061,124,
692,129,711,103,906,002,067,574,912,642,566,386,954,579,335,252,408,244,920,
948,507,230,317,977,366,013,231,487,437,826,471,191,010,558,086,517,665,170,
904,096,390,341,464,755,786,122,970,826,717,504,583,551,933,011,895,856,996,
115,019,470,526,990,321,873,519,833,859,486,855,292,694,919,562,033,928,618,
373,914,032,068,742,785,990,401,766,939,980,695,174,901,059,527,086,055,003,
662,061,582,678,484,157,927,986,730,283,454,985,803,411,843,305,370,838,821,
766,318,484,641,684,623,124,362,707,148,810,023,198,201,024,196,256,383,651,
713,668,597,816,412,883,708,433,317,639,582,017,866,340,809,373,176,490,535,
856,394,279,574,637,413,424,998,534,834,211,738,053,088,494,680,292,232,594,
641,333,066,844,062,652,686,162,294,186,333,615,961,577,335,529,721,533,287,
570,487,563,519,821,759,392,646,056,808,478,987,744,960,551,908,249,366,538,
165,133,625,312,246,671,676,310,584,463,014,764,382,781,510,883,635,089,569,
471,623,536,411,655,932,163,695,312,478,544,508,448,000,543,658,093,450,343,
387,165,840,610,192,890,294,326,055,952,949,080,092,544,415,177,502,331,043,
636,973,415,296,166,163,499,210,352,965,123,332,282,589,704,531,655,458,178,
124,738,138,581,522,719,133,463,367,064,538,208,711,650,759,654,620,369,724,
969,855,215,669,950,768,683,583,605,786,918,838,523,563,690,721,271,637,578,
906,765,169,807,589,433,957,689,993,564,444,607,239,335,296,325,429,087,577,
777,315,200,868,152,294,033,669,151,629,150,639,411,720,562,038,030,948,835,
045,749,856,975,829,401,836,897,579,624,219,751,329,690,187,145,920,958,614,
802,272,175,822,587,465,821,810,798,599,663,462,495,056,743,003,621,795,229,
769,403,391,343,670,218,064,656,204,338,061,845,034,305,373,170,277,484,343,
091,825,383,187,148,661,217,122,070,376,800,543,045,826,076,076,815,204,025,
602,663,364,946,545,376,621,893,574,618,368,327,513,849,517,319,670,852,468,
719,931,270,179,456,904,792,232,551,258,974,635,090,231,395,145,548,469,686,
712,698,360,492,449,060,642,680,520,689,345,078,973,908,773,489,510,729,179,
348,184,166,166,844,448,787,518,686,522,999,608,681,532,439,011,445,154,751,
201,333,469,666,478,566,847,530,884,715,047,999,141,917,223,191,773,641,076,
302,498,273,995,222,997,737,428,416,087,248,964,569,626,811,440,953,808,119,
869,412,020,880,916,942,747,223,840,932,767,976,847,928,302,652,438,668,364,
989,333,571,229,851,033,279,779,241,501,906,513,931,831,150,423,465,956,385,
927,792,495,108,625,191,811,701,636,916,199,123,640,019,998,521,698,124,738,
964,681,470,512,289,415,589,479,752,002,052,172,290,209,313,453,507,575,381,
261,249,779,640,636,559,568,014,638,428,108,283,009,088,823,976,998,098,638,
734,146,941,922,730,040,961,638,364,123,627,612,335,594,514,452,826,037,846,
332,287,291,144,348,211,713,185,359,349,547,904,371,310,117,819,518,279,061,
148,981,355,828,601,183,223,683,035,518,642,697,202,747,918,485,322,585,054,
146,161,146,386,648,402,828,188,661,445,828,482,709,890,034,876,773,905,492,
822,513,663,462,871,655,458,035,324,743,116,641,763,031,695,602,427,272,380,
929,394,493,865,713,073,115,172,308,824,282,450,435,104,812,459,253,529,481,
532,975,008,335,032,170,672,933,653,144,236,837,808,097,576,042,607,957,264,
081,303,291,281,613,689,754,620,084,508,735,596,144,378,936,806,115,956,353,
772,961,086,005,667,093,173,908,390,497,366,963,152,422,238,287,268,942,754,
009,533,133,932,590,307,399,889,528,000,916,563,704,008,639,496,198,829,067,
279,059,086,078,815,743,972,562,552,165,139,446,953,564,830,827,895,709,589,
389,894,433,082,232,377,869,992,022,211,496,278,575,903,789,775,723,036,165,
608,412,884,628,439,880,608,087,806,725,400,965,918,118,020,174,337,225,767,
394,972,448,303,937,902,068,083,892,604,866,342,347,351,142,997,162,866,989,
756,928,615,190,547,796,569,907,015,271,600,549,219,133,617,533,878,227,818,
836,290,510,523,590,105,914,651,668,867,089,354,416,252,288,577,269,401,277,
313,828,452,706,166,455,598,047,793,067,995,288,109,726,804,841,911,617,488,
013,735,323,522,562,903,356,970,772,120,295,260,126,899,026,183,916,874,002,
142,376,359,088,854,961,488,595,784,163,037,166,691,034,389,163,492,322,651,
465,672,122,321,628,823,073,507,345,748,256,152,112,324,541,919,059,344,096,
127,983,817,212,297,711,779,453,622,688,523,159,786,906,002,696,143,181,510,
587,094,436,831,451,739,051,959,235,808,079,835,414,475,657,164,802,967,008,
212,381,745,912,362,085,121,686,089,243,853,420,419,628,936,466,654,364,169,
699,812,224,158,128,699,548,017,240,871,320,126,421,400,729,406,515,868,704,
068,356,488,544,689,449,029,987,058,624,126,672,598,928,381,167,143,033,144,
302,773,614,413,046,242,410,488,057,414,233,690,801,724,851,121,816,671,124,
994,196,090,429,962,074,258,057,645,210,384,904,835,429,059,829,935,511,786,
634,061,458,289,084,217,901,126,443,432,803,240,189,697,647,899,319,817,147,
938,340,680,458,548,541,935,813,977,179,684,118,613,531,804,850,985,673,840,
015,331,016,019,733,209,478,131,511,806,996,232,638,258,825,272,183,963,287,
839,495,990,814,488,072,642,042,872,535,679,183,680,065,974,837,189,134,770,
997,955,766,376,835,448,279,505,641,336,977,757,077,264,193,874,289,666,775,
971,617,617,554,799,418,772,135,260,824,841,690,200,750,556,263,696,920,142,
951,057,349,854,436,786,522,451,484,724,288,119,254,447,915,659,786,705,216,
351,394,031,934,554,374,599,793,684,514,561,757,340,240,382,734,834,505,403,
293,511,404,353,849,054,019,945,457,820,067,184,271,433,977,070,922,745,751,
293,223,573,439,031,982,713,092,903,496,281,361,310,809,798,273,557,168,867,
055,206,393,669,856,427,358,072,589,475,779,941,003,522,036,123,991,830,878,
234,300,844,155,710,123,382,533,561,424,138,607,871,427,028,413,700,595,829,
106,932,189,538,186,710,484,514,242,770,742,443,659,582,155,699,565,853,813,
136,169,050,584,432,618,587,703,377,826,513,435,874,679,987,134,238,226,758,
521,782,341,849,828,196,947,297,892,945,847,738,484,364,301,340,314,781,822,
404,619,720,244,188,785,187,275,661,670,169,340,893,947,810,317,581,378,963,
048,059,640,882,097,713,483,526,852,941,613,926,130,774,162,640,846,378,038,
627,658,632,820,367,683,692,342,137,688,608,735,337,353,358,419,764,812,180,
580,992,007,515,639,429,197,238,540,942,705,591,200,754,511,120,221,203,136,
522,941,704,701,293,598,605,056,494,924,538,127,841,977,209,754,566,168,252,
515,271,689,448,173,431,049,924,555,393,418,578,881,284,976,180,117,786,690,
689,619,365,547,966,298,574,810,421,200,654,252,162,682,459,036,813,647,257,
908,279,445,019,717,784,482,170,428,734,167,651,338,983,532,451,893,734,242,
551,245,211,632,988,454,797,066,709,625,185,001,059,408,402,225,731,623,296,
968,101,037,407,714,239,535,333,513,603,492,108,160,880,630,857,268,927,324,
228,751,551,419,886,659,928,888,763,325,603,960,483,405,879,621,619,962,170,
409,350,855,012,190,652,619,542,429,131,358,810,817,190,221,607,740,348,922,
423,966,683,765,111,910,737,261,881,382,493,275,592,313,443,423,866,517,053,
594,794,399,681,990,017,335,042,207,264,642,590,911,062,947,022,921,532,812,
439,454,409,731,677,174,187,493,579,979,999,387,554,941,788,895,881,455,586,
647,682,796,587,367,864,380,656,834,580,050,879,787,183,658,651,700,427,190,
972,868,711,937,625,868,176,595,276,050,566,798,685,483,293,194,752,590,104,
975,578,931,881,367,624,618,656,737,475,914,704,400,893,051,916,101,819,585,
679,058,447,582,747,281,553,474,893,232,392,091,655,696,624,987,167,342,545,
801,815,989,161,790,492,219,412,667,613,568,685,822,301,405,642,097,205,057,
157,738,270,622,623,454,518,401,091,663,755,266,324,237,826,695,549,698,657,
478,032,534,896,760,966,149,661,451,473,535,991,457,550,445,291,192,809,836,
264,924,064,354,977,923,977,810,175,928,216,284,233,482,738,321,017,338,075,
153,919,586,977,615,215,467,826,944,768,772,292,517,055,903,428,204,709,197,
449,462,653,929,926,147,978,470,320,602,024,512,129,308,231,444,370,282,273,
745,866,215,428,493,780,679,412,844,749,414,537,855,484,480,735,581,613,136,
276,619,107,911,342,063,395,877,570,882,604,547,098,580,587,555,746,825,937,
827,299,697,879,358,557,286,173,758,986,005,680,696,341,122,864,449,514,665,
920,809,197,153,898,591,141,264,305,674,582,223,039,785,063,915,764,449,637,
603,626,071,716,956,358,869,934,578,587,489,247,165,947,950,580,752,286,757,
123,781,710,184,681,486,536,984,771,925,261,103,129,690,555,952,412,328,385,
855,867,637,296,777,748,458,887,525,636,289,946,005,208,189,312,441,938,544,
227,022,123,788,660,582,933,840,436,804,833,825,965,008,528,993,480,407,105,
104,347,228,500,655,239,373,738,894,130,801,360,763,659,761,780,382,389,121,
568,247,128,148,182,968,632,869,316,004,453,257,356,285,706,346,183,120,853,
943,925,590,631,883,068,317,420,180,109,331,067,214,610,247,078,134,494,355,
237,576,743,162,968,143,315,190,350,472,823,565,673,165,834,934,814,171,049,
340,313,414,877,492,544,541,225,922,657,852,410,019,210,630,013,239,391,555,
078,438,482,299,048,915,938,689,518,169,811,686,782,805,910,029,192,383,452,
489,197,632,483,639,439,870,925,368,434,576,221,831,103,625,791,285,685,871,
511,918,640,854,739,353,399,694,823,990,481,729,826,278,758,156,752,089,659,
737,603,874,648,512,210,378,990,777,950,330,725,933,510,241,055,575,931,045,
341,012,673,434,051,604,945,844,229,394,241,762,033,107,207,213,827,849,389,
177,289,089,443,616,294,463,421,217,905,188,483,741,126,783,881,533,169,945,
234,950,498,822,424,583,504,505,983,417,112,478,574,766,638,033,885,313,428,
678,714,737,322,944,788,051,555,167,364,503,520,383,999,032,801,900,114,154,
918,526,987,821,910,559,002,567,291,808,924,367,396,667,251,199,231,905,020,
331,739,380,017,824,986,730,528,231,464,863,285,324,251,944,232,201,686,206,
993,436,932,646,537,424,776,074,493,133,709,337,101,299,906,860,678,529,081,
366,549,399,712,919,881,752,253,673,114,465,678,092,329,128,953,593,230,954,
932,690,325,382,617,352,953,544,998,962,474,385,119,054,139,889,461,943,396,
553,396,560,663,568,140,498,447,039,740,490,599,020,351,165,895,258,419,633,
601,103,580,969,196,966,805,027,761,811,277,437,891,122,395,064,277,716,610,
087,384,246,951,743,477,504,413,011,290,348,072,171,348,221,054,610,524,915,
871,613,042,769,714,568,052,545,028,857,779,377,082,010,529,045,572,908,949,
202,929,373,577,422,740,852,233,022,428,418,876,708,027,641,903,629,845,267,
397,871,013,385,513,610,177,095,718,747,334,229,892,268,079,730,501,621,806,
142,861,520,289,061,090,901,109,918,154,936,396,962,432,991,851,524,759,484,
866,062,591,859,253,252,523,412,229,774,805,710,827,830,713,713,680,508,114,
236,773,473,024,156,306,510,388,932,463,035,825,688,790,197,275,014,985,124,
936,697,198,630,593,968,146,184,822,529,033,708,922,235,710,154,603,658,046,
996,943,676,580,532,804,989,712,997,467,302,876,065,233,030,148,987,538,949,
687,111,594,096,870,721,698,110,682,964,792,818,578,280,283,688,609,870,118,
927,280,652,871,379,167,080,298,005,304,628,704,314,714,391,717,609,694,845,
425,080,830,425,650,796,633,469,238,050,707,127,474,887,101,758,087,342,068,
321,796,706,803,016,941,574,533,556,509,547,186,620,419,665,511,586,361,503,
486,385,702,097,026,429,188,540,097,282,678,667,410,829,818,963,670,554,356,
035,142,629,782,632,773,548,277,195,504,115,307,839,388,259,698,637,974,939,
517,658,607,327,910,978,466,466,491,188,365,894,364,256,026,834,390,261,951,
028,826,608,521,833,302,125,450,254,716,748,616,417,776,579,163,020,933,083,
696,616,915,590,301,422,353,975,573,322,085,548,128,936,720,628,033,283,871,
741,366,252,085,738,799,515,499,682,317,189,362,708,900,891,415,611,668,316,
799,877,202,943,110,395,889,413,473,016,667,194,443,225,476,509,826,110,556,
952,028,900,577,423,275,116,623,949,512,065,906,573,633,495,979,689,434,696,
385,421,554,031,039,017,920,615,710,200,001,149,163,938,940,400,534,754,406,
786,023,309,272,055,125,985,486,441,612,473,263,277,738,998,917,399,646,240,
353,655,490,384,065,410,742,472,493,485,688,144,142,838,514,025,139,541,924,
237,118,861,654,878,508,660,295,474,438,042,763,805,235,069,090,287,555,092,
798,650,826,836,921,719,718,044,033,146,104,404,694,542,218,800,738,280,283,
298,335,911,340,898,050,378,044,806,898,102,551,709,290,913,941,328,909,942,
247,856,635,107,853,695,014,028,969,114,091,670,537,012,022,503,581,374,011,
818,890,196,384,815,789,890,795,356,299,494,168,043,407,825,478,133,338,527,
946,186,267,467,324,703,669,287,962,930,155,450,980,219,011,053,853,143,455,
847,514,852,302,309,285,537,647,116,305,781,312,031,860,301,457,934,748,416,
410,453,900,246,148,216,477,899,120,017,615,525,838,715,406,515,339,996,403,
666,814,094,132,884,929,705,636,775,487,310,485,280,803,410,907,781,526,334,
406,989,918,533,529,131,358,373,728,899,692,738,754,519,303,293,128,303,351,
332,159,841,716,669,058,190,577,356,465,719,817,554,449,942,385,683,460,812,
119,621,601,872,290,983,930,505,087,343,792,707,308,056,057,391,730,121,887,
101,499,712,677,491,118,976,332,745,752,118,384,644,345,713,233,415,410,552,
675,093,916,546,253,546,807,748,211,606,482,693,217,745,768,341,630,598,517,
179,326,315,571,691,913,202,061,954,168,446,571,154,784,240,942,947,013,867,
006,213,429,558,717,842,743,256,442,632,717,610,574,897,486,537,258,111,034,
145,806,016,834,423,032,835,358,801,009,875,483,235,061,770,523,106,585,631,
745,416,299,372,835,299,589,583,884,619,144,470,833,701,316,049,129,198,802,
463,822,327,817,179,209,702,775,331,522,101,610,818,831,981,291,036,143,381,
839,640,947,888,522,686,106,368,924,858,894,423,687,129,667,520,588,845,776,
602,764,183,571,901,650,404,939,076,778,172,752,785,940,204,968,693,915,382,
302,243,082,743,619,121,477,020,330,549,266,394,947,931,255,116,197,030,201,
694,221,253,546,332,784,742,743,685,260,145,026,650,273,521,207,283,338,400,
229,497,423,779,984,374,970,306,242,785,092,478,042,307,471,776,106,990,225,
473,808,904,320,141,499,841,890,605,719,118,764,710,542,969,632,937,926,135,
388,312,127,302,542,875,386,984,731,684,001,535,167,632,128,651,397,643,239,
258,503,527,570,623,002,363,946,902,147,098,667,108,778,711,702,591,158,292,
218,413,643,980,845,850,139,245,049,097,846,170,729,687,767,761,418,534,482,
932,040,518,890,371,816,882,006,735,096,940,007,202,497,320,159,381,973,857,
451,004,223,773,074,347,986,011,478,126,063,651,094,907,028,907,427,697,927,
355,820,923,816,695,931,910,471,407,463,112,103,456,537,123,539,963,821,718,
888,467,477,361,422,563,133,498,798,895,122,980,922,647,485,043,593,727,493,
650,847,967,914,447,923,991,867,378,156,916,688,133,891,306,209,843,894,862,
213,606,422,350,009,998,565,447,169,969,229,786,508,358,904,539,159,373,504,
531,128,853,728,466,015,074,300,004,762,720,884,430,707,839,054,315,433,344,
716,128,884,167,706,896,545,819,200,939,513,159,437,433,274,665,553,902,649,
660,421,230,658,478,391,962,760,504,410,675,939,249,022,181,680,938,195,184,
215,493,573,200,104,990,656,741,770,060,262,366,463,101,482,722,489,225,302,
442,494,628,378,709,217,016,729,910,288,836,601,682,997,963,246,957,971,992,
233,249,054,004,190,816,907,148,130,876,232,808,594,717,787,195,194,600,123,
719,320,733,466,119,636,648,016,127,329,665,656,699,838,646,503,036,502,227,
199,171,663,693,209,658,794,433,793,232,911,282,314,803,818,430,566,692,381,
466,082,047,089,541,218,989,282,201,333,617,300,754,357,433,382,721,866,324,
841,881,149,765,912,308,133,215,439,102,297,817,796,856,524,940,952,421,350,
600,166,482,009,971,855,145,554,120,710,942,443,389,372,299,830,342,026,830,
131,189,821,365,143,821,071,576,140,242,905,794,143,337,547,656,765,835,236,
003,040,332,679,925,870,977,427,784,726,571,199,918,477,212,248,889,944,567,
544,254,206,103,924,469,283,155,024,011,413,183,496,422,079,989,909,092,964,
484,753,589,831,964,238,600,091,605,857,771,729,097,685,492,132,359,355,269,
625,688,700,143,383,279,044,793,535,183,030,016,725,683,368,824,134,440,551,
231,159,574,796,360,866,432,542,000,176,926,672,406,420,089,098,021,393,110,
654,364,144,020,378,582,888,110,411,640,868,792,322,094,555,735,870,704,128,
289,043,404,344,763,035,468,331,939,086,403,694,477,230,833,759,102,086,723,
682,104,147,406,957,495,034,943,785,137,495,138,760,885,957,494,306,123,644,
010,216,215,083,170,275,547,031,960,829,483,840,265,659,307,782,213,246,123,
556,703,067,674,600,978,262,914,347,028,908,014,844,640,005,791,817,403,901,
564,157,405,796,158,149,922,087,877,445,295,909,566,513,431,572,468,619,387,
976,703,367,112,647,009,299,716,509,857,661,750,820,618,623,842,646,923,363,
630,661,827,992,714,834,009,551,527,280,700,163,312,512,800,531,740,070,166,
649,060,336,836,643,580,673,171,556,084,634,880,388,933,215,553,007,299,572,
804,387,770,311,631,135,143,449,176,909,089,633,022,723,359,892,516,109,021,
728,118,704,339,770,130,824,201,268,300,080,771,847,317,700,401,926,231,781,
458,054,293,422,604,460,907,353,508,885,431,415,487,565,994,042,671,360,762,
768,353,153,458,085,799,443,373,973,375,172,695,669,231,770,964,050,054,717,
736,814,013,949,643,700,808,944,195,086,902,024,285,304,145,183,351,400,007,
233,310,436,045,833,295,355,910,446,585,751,364,548,933,248,694,439,969,385,
690,105,705,741,087,480,950,020,539,763,778,470,203,155,642,026,639,111,593,
370,767,902,426,097,475,221,689,578,597,513,337,150,320,805,567,677,299,901,
326,887,884,665,572,939,313,160,624,877,332,346,595,412,515,842,237,139,112,
040,946,336,480,767,334,436,497,182,363,019,847,415,812,456,896,027,758,603,
179,521,493,789,028,880,422,493,410,783,500,565,613,963,881,312,213,028,579,
243,539,458,065,301,934,518,114,378,482,394,692,863,624,709,102,180,633,684,
918,919,524,579,407,345,771,334,862,975,412,153,169,861,560,023,612,786,071,
917,518,012,171,971,362,427,313,868,758,021,106,579,269,105,543,702,879,864,
438,130,453,593,281,501,927,295,640,128,654,350,607,049,867,682,580,908,423,
659,872,341,344,965,232,741,988,743,620,546,020,041,658,189,230,829,733,468,
890,316,323,483,755,027,952,302,959,950,089,454,134,110,059,046,630,939,065,
428,969,562,030,146,509,172,738,883,975,311,178,049,565,751,817,265,698,651,
018,933,925,987,659,288,982,089,918,105,863,088,476,295,909,744,038,113,688,
849,554,401,590,500,099,623,624,967,924,936,574,832,543,614,475,530,230,647,
481,352,479,549,173,607,573,561,740,649,249,413,493,565,228,241,447,590,771,
016,854,651,423,483,629,047,285,920,254,868,177,852,285,466,482,939,059,338,
544,978,187,465,408,961,701,112,227,790,300,938,744,705,858,849,471,040,195,
829,469,157,449,917,584,179,833,870,876,833,676,781,123,477,097,207,808,222,
609,423,289,908,708,973,272,374,528,798,546,754,297,841,802,660,483,433,430,
074,445,642,897,817,245,492,219,831,092,745,626,633,926,098,425,701,554,826,
506,741,763,169,715,152,349,237,739,622,896,416,365,966,671,646,409,416,923,
918,752,911,764,127,081,228,869,160,087,586,825,692,970,428,479,516,318,396,
627,820,685,210,642,698,893,170,167,670,098,178,964,066,529,993,522,233,009,
118,773,808,671,774,392,229,784,103,703,720,432,888,795,155,030,002,680,030,
550,404,219,198,183,538,069,345,040,268,983,312,950,001,116,277,001,485,782,
094,558,912,911,230,435,051,783,276,708,372,587,242,998,550,388,051,638,512,
954,766,884,933,186,654,769,775,315,887,035,658,836,306,012,071,691,677,771,
509,651,610,577,244,150,045,291,399,013,838,740,955,127,877,418,239,163,738,
758,154,515,052,713,847,134,565,181,492,497,683,495,215,869,485,400,340,212,
799,244,259,968,971,579,979,619,975,083,519,668,059,084,944,779,204,654,252,
017,289,503,410,899,263,602,021,855,758,439,749,496,966,895,670,436,357,741,
923,827,963,806,901,901,814,522,180,157,685,166,405,666,142,148,963,309,392,
538,794,576,311,189,655,251,583,449,754,008,643,594,357,898,574,788,970,068,
806,734,642,757,620,115,088,104,652,264,208,368,845,500,155,382,643,757,553,
475,673,119,941,972,795,720,542,937,309,859,565,454,861,110,862,711,742,882,
306,847,112,249,979,403,415,776,076,697,016,769,500,507,473,325,650,894,003,
930,734,758,998,470,977,513,256,522,031,491,308,443,360,238,590,817,961,794,
626,117,530,802,188,209,931,693,483,058,489,291,941,036,061,765,173,636,509,
539,293,382,584,508,643,264,297,805,581,516,152,688,491,755,860,805,555,266,
206,218,655,664,075,544,782,176,072,759,998,270,725,564,756,236,483,161,819,
710,243,245,421,972,927,572,936,298,162,081,735,766,380,496,370,127,239,953,
893,115,468,360,231,996,229,963,920,005,519,141,526,613,116,069,173,275,082,
839,233,357,915,984,031,927,891,075,465,300,615,149,752,414,322,789,804,971,
671,298,385,226,088,755,570,253,937,016,067,716,942,635,134,014,261,583,393,
423,355,411,838,061,452,684,148,803,072,617,972,748,732,728,818,460,384,598,
709,843,139,759,598,033,406,961,255,858,939,513,317,740,208,147,562,974,484,
460,157,463,023,229,687,700,832,587,380,535,560,562,472,809,828,836,154,604,
669,997,206,505,600,831,086,051,060,633,494,095,696,695,116,424,545,463,469,
412,699,027,206,198,019,779,837,608,050,948,161,934,975,913,431,993,284,774,
905,519,230,152,423,276,963,773,752,015,386,512,699,904,009,307,944,344,236,
136,093,256,188,040,492,239,148,179,655,994,087,930,518,826,781,183,560,493,
181,520,594,538,710,200,427,989,091,759,567,715,239,491,854,344,102,953,561,
345,913,876,359,586,061,822,029,178,047,925,965,581,700,640,198,147,047,906,
937,698,344,926,161,871,417,020,779,062,309,495,394,612,800,069,108,043,222,
686,410,858,307,718,827,533,680,816,975,857,980,710,365,772,373,393,179,427,
953,570,604,547,329,318,916,887,297,640,087,237,993,642,959,197,497,777,754,
977,732,973,284,291,511,024,125,032,088,549,129,313,244,673,907,063,711,922,
521,483,723,637,630,893,641,123,327,643,889,080,988,981,242,121,315,478,214,
876,809,352,410,042,838,241,188,378,371,349,353,871,751,812,563,459,435,488,
550,908,744,498,608,842,686,000,013,928,080,854,397,457,320,210,524,073,125,
153,278,660,018,878,662,857,535,488,695,752,288,411,995,321,983,619,857,909,
495,585,755,285,470,293,086,035,911,696,552,518,356,617,406,319,475,655,441,
325,962,797,153,942,717,998,243,386,672,448,774,539,883,253,415,059,464,708,
815,674,316,586,050,418,669,965,456,928,003,794,002,654,188,261,991,352,652,
839,659,244,776,622,379,282,014,647,058,060,036,803,039,581,602,261,404,639,
040,888,005,356,750,826,763,591,338,289,994,175,912,877,113,310,213,904,300,
964,503,195,271,381,917,645,665,524,044,494,774,359,181,813,007,656,880,572,
881,639,456,249,337,754,332,197,132,878,558,545,995,659,295,061,798,389,686,
240,542,499,549,054,944,872,440,655,526,341,445,152,050,016,132,019,101,609,
384,000,450,452,011,039,187,916,517,759,998,775,541,958,834,408,540,109,961,
607,254,567,447,945,107,063,735,718,291,916,887,505,100,148,860,860,823,776,
107,239,554,840,676,300,844,451,819,289,065,090,942,894,110,071,611,350,706,
474,772,516,274,779,322,990,612,134,461,969,394,295,710,675,209,589,581,321,
858,279,741,838,647,260,921,189,279,119,017,509,892,452,329,223,909,918,374,
548,850,002,017,151,114,753,005,777,177,663,964,723,932,395,751,399,097,145,
088,944,695,051,176,060,238,627,186,444,236,326,044,018,586,939,342,142,701,
395,125,987,816,324,355,783,312,062,758,087,467,548,443,592,396,446,531,966,
463,339,456,764,773,050,887,221,570,582,806,932,904,399,023,701,481,272,281,
600,854,341,705,580,136,961,935,833,217,226,876,862,859,451,342,587,002,338,
755,179,240,278,901,161,498,864,532,018,549,640,583,783,706,167,340,157,964,
865,435,859,484,922,482,311,500,883,236,332,135,521,382,047,183,468,292,004,
366,589,570,191,721,870,606,165,566,053,105,618,244,131,061,635,382,098,663,
037,898,538,320,736,996,075,977,093,921,983,265,165,656,545,067,124,365,085,
953,927,547,504,761,653,352,705,975,471,904,385,492,167,895,958,595,694,452,
750,143,194,928,645,367,101,869,956,001,711,151,847,839,326,259,996,698,986,
065,202,636,604,611,277,345,734,891,749,866,270,433,893,195,386,352,156,728,
954,033,411,510,270,313,295,936,941,992,962,944,445,471,599,229,008,384,880,
823,474,341,928,674,035,764,931,720,119,559,918,450,147,934,810,886,768,297,
315,691,467,590,730,715,820,325,010,282,601,054,020,691,645,648,253,454,584,
637,504,087,778,120,857,949,254,027,392,384,600,383,130,224,360,351,838,493,
847,778,431,374,535,468,512,907,412,371,843,322,888,912,646,844,569,930,722,
755,203,634,879,674,524,802,851,232,143,133,515,978,395,196,820,025,032,293,
954,445,088,769,647,339,490,688,808,469,571,359,395,471,494,866,290,657,736,
655,062,755,723,889,550,553,767,377,370,608,208,598,183,299,248,021,623,621,
372,094,976,213,973,523,891,031,056,752,960,135,544,986,895,619,725,874,073,
143,032,425,845,582,938,129,985,380,818,910,674,720,758,389,356,555,450,791,
797,588,318,489,530,246,150,021,964,592,345,957,238,061,495,341,065,107,021,
475,151,128,088,593,516,111,411,859,639,917,943,319,319,349,003,112,805,423,
704,766,751,057,513,206,667,736,094,008,103,906,601,541,747,628,716,489,361,
789,844,735,425,309,071,469,479,019,170,784,021,063,861,481,871,364,457,164,
145,257,317,072,981,375,695,403,190,454,330,735,419,694,077,477,945,643,147,
294,447,476,051,171,409,288,351,872,257,826,835,490,401,486,840,031,451,555,
623,301,857,714,894,060,829,573,227,640,843,596,893,851,527,132,888,587,438,
103,416,876,327,908,823,431,388,777,898,613,342,637,964,012,837,550,076,115,
107,609,586,969,324,162,051,691,182,688,681,982,263,864,964,038,362,480,199,
868,166,138,069,002,073,120,370,092,793,638,999,784,486,733,245,532,222,649,
710,208,082,065,860,252,814,954,552,321,835,890,009,407,075,462,474,006,471,
540,651,919,121,975,477,375,556,035,627,351,822,273,921,786,415,808,703,189,
367,073,988,290,072,826,539,101,816,543,796,788,110,978,290,889,874,830,603,
363,090,112,756,894,186,392,745,475,340,374,616,584,825,037,629,119,305,033,
218,246,573,209,280,426,143,696,808,663,164,020,645,731,336,968,605,795,783,
519,213,183,772,154,867,924,683,139,218,719,821,727,479,863,800,803,308,950,
587,384,074,467,553,116,523,461,992,916,163,421,119,897,666,916,998,518,658,
410,937,043,088,014,988,865,041,722,422,582,348,390,029,524,496,764,504,577,
335,380,538,495,180,408,682,496,303,695,134,357,461,584,357,279,569,890,986,
627,898,801,736,440,193,625,793,067,685,286,676,963,062,973,245,126,145,177,
452,386,712,544,326,581,378,973,264,100,622,688,578,082,775,314,807,575,309,
127,033,944,021,647,570,547,693,177,480,054,020,157,250,533,145,148,980,120,
614,119,679,004,318,352,678,093,251,039,538,879,516,075,616,413,488,905,177,
381,228,205,821,842,364,933,912,732,758,455,216,083,772,489,053,920,980,252,
753,673,066,740,571,622,113,866,462,657,109,820,231,204,164,311,634,278,537,
525,616,714,905,500,798,026,801,217,521,423,983,646,630,369,435,800,302,886,
165,449,169,044,118,868,155,246,783,895,472,713,302,463,929,662,499,633,438,
446,988,114,816,323,549,521,630,502,781,785,592,924,263,696,948,161,824,893,
600,940,209,907,883,077,497,463,689,016,741,304,891,444,506,447,423,192,567,
399,347,560,133,036,125,038,109,936,301,733,528,178,633,069,079,484,215,272,
294,759,966,653,647,601,134,663,676,705,977,735,244,489,334,145,799,453,363,
835,301,236,757,119,619,694,302,416,498,227,476,048,695,543,983,222,606,780,
697,260,310,502,317,798,987,613,324,741,010,953,943,834,949,324,797,574,894,
901,097,508,963,163,521,213,749,711,813,183,334,422,357,299,694,948,075,344,
763,528,552,419,725,520,838,077,854,875,074,334,856,698,096,086,535,857,061,
989,725,396,656,363,736,697,270,724,001,537,213,435,625,490,933,585,662,778,
146,404,459,476,793,218,481,294,805,365,569,979,089,367,676,650,843,407,007,
258,165,004,040,948,014,868,337,673,912,058,483,981,338,910,243,028,070,525,
651,119,486,011,227,358,393,079,128,103,896,901,871,648,727,229,564,291,564,
320,580,065,255,852,876,263,230,086,696,513,605,636,850,255,646,494,155,059,
938,085,288,050,596,316,594,802,735,528,418,731,795,221,715,224,298,891,625,
912,567,972,841,507,395,092,974,578,913,268,743,547,584,657,657,118,762,651,
248,999,914,818,735,805,331,716,733,897,436,577,026,724,756,200,919,300,319,
023,118,983,748,641,835,999,848,378,651,585,788,062,112,926,123,051,341,386,
112,241,489,807,756,158,299,275,240,870,739,359,842,370,105,914,669,506,243,
429,906,926,631,449,314,808,165,169,617,027,126,278,160,922,574,944,482,528,
738,743,159,604,596,428,667,652,816,862,851,046,278,036,346,413,181,452,051,
041,787,815,569,929,883,786,540,492,847,964,052,489,439,192,657,510,987,862,
149,174,050,320,511,882,641,760,320,061,025,083,650,354,174,076,678,000,256,
081,787,883,892,651,724,158,819,406,841,112,711,680,021,190,505,576,163,648,
937,597,600,952,706,885,952,102,946,087,533,094,578,963,651,792,705,857,912,
809,564,262,129,699,895,605,089,713,288,136,386,322,507,720,167,420,542,409,
191,309,231,516,270,921,561,198,554,150,285,653,228,891,213,171,234,940,042,
674,369,197,106,445,243,382,994,646,984,139,002,256,134,346,261,605,738,404,
203,374,287,106,907,888,722,552,695,027,062,764,198,364,960,734,094,636,691,
070,767,862,322,420,839,763,218,461,833,399,402,883,316,415,632,942,741,803,
233,598,552,601,376,544,035,847,596,675,521,525,053,261,425,048,621,611,183,
775,878,150,165,446,372,986,464,557,060,368,229,346,725,424,347,885,772,020,
203,357,987,527,794,505,642,357,593,189,630,747,840,012,753,851,767,326,583,
991,316,370,504,570,978,094,395,294,452,192,525,210,211,568,958,877,433,846,
503,888,019,001,801,666,377,451,497,992,397,796,963,424,269,323,667,828,976,
891,543,378,596,574,451,072,494,889,843,931,593,427,645,019,957,830,919,071,
496,647,787,745,505,242,722,712,954,306,341,654,073,394,347,153,182,782,938,
269,433,425,848,779,590,085,942,413,270,633,209,487,699,514,911,425,220,037,
454,665,266,472,038,227,657,473,733,781,190,973,479,632,029,772,884,499,568,
774,853,090,873,646,261,904,769,034,678,494,384,765,710,515,168,828,344,023,
467,583,395,359,603,012,496,129,736,654,610,521,840,779,502,353,432,739,362,
792,143,849,337,145,016,746,401,875,155,838,628,392,925,521,565,159,055,805,
133,958,964,385,696,633,540,829,975,773,838,896,936,933,312,172,889,630,657,
649,191,555,104,094,377,265,914,075,459,512,031,606,355,291,545,396,350,584,
157,934,397,322,813,555,718,147,710,371,762,790,983,522,674,444,153,421,117,
792,570,207,601,475,268,136,008,916,857,230,296,335,123,957,956,177,245,243,
331,529,100,591,189,951,425,288,954,305,952,152,521,043,291,449,855,612,848,
334,700,672,246,228,060,640,266,199,421,461,908,860,103,233,656,182,308,841,
225,175,496,266,980,018,485,353,112,625,156,084,383,597,026,037,345,937,769,
166,868,620,725,062,541,323,446,304,364,175,845,847,538,571,199,382,592,373,
057,728,553,534,728,276,252,921,740,658,318,523,766,452,770,226,467,915,645,
407,085,888,749,863,190,733,636,333,589,697,676,853,836,453,485,676,893,254,
966,946,541,664,572,853,528,002,590,058,019,308,607,225,092,399,995,721,080,
007,134,992,400,633,422,520,495,296,915,806,920,078,643,235,284,007,086,028,
195,915,593,640,835,975,249,802,899,797,199,573,657,398,123,275,138,455,599,
402,041,750,627,970,598,232,392,252,666,558,584,500,789,433,145,302,338,699,
301,840,580,630,880,685,181,283,977,930,395,566,968,252,619,418,779,778,938,
326,921,441,643,289,239,119,996,426,314,968,196,603,285,410,329,794,003,710,
822,001,817,581,862,360,321,295,036,912,077,899,790,423,434,301,991,719,181,
334,617,757,315,557,241,370,011,334,862,090,405,966,073,521,484,289,365,726,
236,511,837,808,270,218,074,620,798,487,423,280,221,083,557,588,614,715,259,
027,136,245,605,480,509,645,767,147,734,949,976,777,147,854,257,263,946,692,
634,026,151,546,175,020,186,748,876,337,318,169,734,171,688,221,756,391,977,
305,679,217,694,605,139,506,447,061,910,823,248,371,245,068,856,160,473,286,
273,424,194,286,663,023,783,617,308,403,772,898,036,149,676,516,208,998,804,
851,074,251,342,442,725,418,574,827,403,446,591,009,908,570,462,022,076,384,
680,804,781,471,503,770,800,070,266,128,172,783,610,219,618,338,464,459,603,
855,532,778,551,690,188,747,059,321,312,470,818,191,562,212,388,021,970,801,
404,595,618,404,552,752,782,717,815,053,506,873,835,283,745,423,205,023,180,
824,400,485,694,081,182,880,043,972,767,247,635,572,312,457,772,371,728,825,
164,916,174,787,140,627,583,089,994,156,479,860,600,109,606,325,067,321,251,
675,739,800,193,456,260,075,208,887,297,069,214,041,252,169,681,711,697,195,
275,962,471,431,044,882,050,835,757,217,013,929,616,270,028,521,568,235,124,
416,422,996,940,279,588,552,375,104,350,294,214,696,257,701,921,562,665,525,
415,833,627,392,815,341,506,574,149,187,266,939,531,472,657,064,035,999,201,
404,278,944,763,292,885,830,337,225,307,371,943,935,709,589,926,289,463,490,
557,759,410,885,549,170,548,433,019,040,575,994,782,240,643,140,541,344,778,
473,051,984,272,569,062,866,903,533,850,351,292,088,971,984,392,329,048,794,
957,976,755,025,338,928,120,247,447,266,423,226,130,351,895,883,761,242,627,
184,877,579,133,965,573,308,530,261,957,407,061,821,596,826,252,040,652,578,
439,552,182,844,718,689,015,151,921,087,904,330,168,509,850,472,065,217,406,
004,622,394,654,977,246,162,308,695,652,045,435,598,639,723,181,403,485,809,
879,288,112,406,895,092,232,152,884,193,020,081,923,660,226,062,296,250,074,
433,271,447,972,321,917,424,768,713,237,751,639,611,308,523,938,810,257,464,
532,884,003,220,663,594,807,067,605,207,165,472,016,699,508,409,676,107,411,
123,482,148,430,507,563,916,300,812,003,332,257,561,352,262,343,229,349,148,
258,914,714,038,510,103,225,405,123,499,967,717,311,100,013,721,180,014,832,
346,899,829,388,210,758,612,578,660,103,090,498,317,986,278,956,384,859,527,
808,781,328,503,785,255,354,520,486,005,484,873,468,918,617,731,484,925,040,
871,457,775,383,363,763,189,735,108,646,671,485,220,268,469,680,964,650,547,
850,680,085,970,556,346,466,478,357,661,923,622,029,511,283,616,022,714,169,
141,836,999,755,216,370,969,883,008,741,366,319,740,213,929,573,677,982,005,
738,626,585,226,595,948,282,564,798,243,786,812,332,096,489,502,365,942,345,
972,918,263,596,706,394,736,201,470,943,544,859,841,514,322,362,873,938,406,
199,471,162,731,543,719,942,456,140,466,693,701,623,034,829,038,104,016,010,
255,473,347,827,019,231,214,023,612,692,980,979,048,517,261,582,192,670,959,
896,221,227,904,012,520,440,211,251,989,808,582,603,441,818,782,715,875,086,
368,650,884,645,789,758,426,924,697,516,140,946,420,488,974,602,694,543,869,
792,671,640,168,261,425,928,444,092,673,707,564,591,616,692,824,790,688,598,
573,818,133,564,300,843,436,725,852,805,014,531,464,753,001,891,783,143,252,
683,171,093,812,154,306,543,643,090,884,392,756,687,976,673,116,524,535,451,
257,229,135,109,861,517,432,861,379,560,238,173,060,292,928,758,547,748,528,
909,760,832,059,792,792,540,789,939,634,598,567,485,336,401,695,210,550,020,
118,887,037,796,484,309,361,982,913,471,118,452,833,485,559,292,300,675,215,
687,416,824,498,614,583,679,895,795,497,408,682,316,360,968,644,521,513,432,
090,656,027,871,058,435,961,401,400,998,315,816,297,067,806,150,318,564,199,
120,100,727,964,200,946,707,204,052,748,594,045,821,355,415,686,839,627,776,
088,581,107,657,591,385,524,386,033,274,056,738,854,725,249,261,405,846,452,
183,965,278,347,074,984,717,808,967,050,920,672,122,641,430,000,027,665,377,
182,231,684,677,185,934,217,485,617,642,095,191,586,667,368,977,935,827,983,
216,251,962,849,081,725,902,597,435,805,572,803,950,589,424,839,841,822,139,
920,578,669,738,512,407,196,275,146,362,003,332,242,066,809,399,406,093,937,
219,642,079,842,762,051,296,586,006,760,029,932,045,404,053,849,982,813,285,
389,534,257,720,078,431,274,911,512,670,605,860,935,030,738,595,567,622,746,
302,372,416,906,561,673,266,415,910,307,696,577,673,520,517,019,241,335,997,
499,604,128,776,277,501,713,553,850,189,993,829,344,543,686,647,547,678,164,
039,002,342,985,643,925,285,473,468,467,888,571,653,887,848,975,787,746,005,
204,696,727,872,292,675,683,882,075,639,104,362,639,752,066,635,036,389,888,
676,402,472,502,944,940,892,250,859,531,466,580,100,482,957,048,187,780,326,
928,177,116,252,597,587,990,444,725,328,638,110,554,869,361,765,987,147,491,
227,558,735,409,590,688,192,547,167,245,680,112,275,202,063,219,569,812,767,
761,197,505,099,362,457,023,730,455,551,312,953,022,481,146,973,149,315,921,
239,416,625,167,470,874,523,465,139,830,298,901,815,577,642,990,194,478,068,
979,062,011,258,671,045,015,071,486,216,090,865,100,234,514,051,309,396,875,
206,948,336,788,949,249,906,857,736,190,509,609,884,849,615,703,275,563,376,
782,534,459,674,315,641,886,519,609,192,153,906,901,938,116,360,582,543,590,
703,178,928,627,969,325,456,016,926,021,984,738,681,245,741,933,624,364,139,
189,556,994,899,381,387,619,897,043,160,760,945,558,802,859,716,494,918,698,
106,064,991,397,160,882,515,068,894,031,324,417,174,786,032,199,254,991,629,
018,127,737,456,636,575,232,575,460,395,681,974,018,843,197,325,609,182,631,
632,234,410,509,562,841,375,732,401,051,227,165,398,441,156,395,791,075,957,
357,306,810,845,353,591,335,090,279,521,034,434,516,227,180,893,743,113,586,
445,719,962,776,779,650,354,751,439,611,177,622,512,968,360,404,891,535,714,
304,589,106,221,762,087,833,316,393,694,643,529,155,023,918,715,400,002,273,
097,263,967,200,176,101,576,464,029,203,642,377,527,295,972,037,611,999,879,
714,472,429,885,179,464,434,193,999,312,460,997,429,366,688,964,732,657,210,
580,365,053,321,561,221,727,442,370,475,726,226,324,483,238,138,970,276,610,
589,439,651,348,345,430,490,673,471,864,086,669,347,730,995,916,839,921,084,
477,663,182,963,666,982,869,719,954,480,279,495,439,939,634,195,061,361,164,
845,177,534,273,415,356,295,510,014,978,715,061,955,531,288,714,677,375,320,
692,314,624,942,837,716,012,276,640,062,292,495,161,256,743,451,715,254,165,
867,633,495,921,635,729,497,247,211,474,563,517,966,539,381,672,516,152,202,
120,086,179,220,993,355,590,789,249,963,158,903,137,296,011,913,917,648,065,
135,033,832,128,866,837,241,569,333,546,577,133,961,457,402,775,552,477,230,
898,029,050,009,587,841,743,250,761,328,235,243,868,138,258,623,466,912,592,
987,437,277,457,663,107,533,365,720,343,734,320,003,247,748,876,530,743,075,
275,000,784,550,941,778,284,178,085,612,921,290,329,558,856,897,912,979,957,
440,642,065,122,679,188,851,950,513,855,551,363,353,381,259,188,159,685,284,
475,238,854,363,068,910,154,359,814,255,413,164,382,612,815,567,994,957,028,
806,222,251,961,461,798,161,215,366,516,026,156,837,414,264,481,900,389,504,
191,963,387,771,865,961,599,479,294,829,686,518,589,321,149,007,933,533,773,
256,001,372,082,167,856,342,430,378,590,385,166,821,458,048,050,121,604,879,
401,213,720,425,149,116,757,575,322,288,308,536,186,228,493,624,250,405,124,
882,153,496,375,591,983,358,058,137,876,918,517,517,391,082,236,041,186,226,
388,916,164,439,454,440,719,295,685,219,573,634,930,724,437,603,974,485,579,
466,929,154,613,250,980,542,706,277,722,194,487,920,149,799,996,140,353,500,
931,766,495,953,164,692,389,280,860,321,006,269,916,715,732,857,286,879,167,
934,169,492,389,536,115,583,927,193,254,046,948,801,100,483,112,740,111,382,
953,463,896,843,491,384,803,474,102,118,314,460,860,237,804,723,467,632,517,
127,465,504,702,356,013,170,739,420,060,745,060,617,619,106,152,137,390,944,
781,555,506,505,036,105,386,213,334,853,550,143,858,854,673,640,843,092,681,
666,035,974,132,596,863,541,068,379,808,550,137,026,679,457,481,666,879,951,
657,256,000,172,226,716,358,330,959,890,322,382,443,351,369,258,538,270,104,
021,399,457,950,450,108,758,675,605,673,610,750,567,073,578,367,614,066,029,
334,148,656,449,346,555,086,321,677,514,997,203,412,212,506,115,966,104,290,
214,806,996,057,646,223,020,568,066,593,568,025,908,231,560,420,064,022,747,
447,742,766,166,578,297,092,711,899,397,457,370,116,979,909,617,562,906,307,
785,807,286,899,493,130,945,924,559,693,563,898,765,963,175,206,552,959,147,
823,577,658,403,904,193,797,288,100,860,172,737,509,981,741,177,854,170,322,
709,413,561,113,379,545,998,518,817,310,135,881,157,071,106,860,845,411,169,
681,774,518,766,584,380,485,515,924,281,391,116,713,854,813,881,401,323,215,
502,811,340,568,954,059,460,855,785,468,174,257,409,920,051,584,046,059,431,
681,042,025,046,663,463,569,368,337,544,668,564,361,889,404,715,088,608,803,
407,075,594,584,367,686,441,870,570,979,816,064,364,706,125,307,375,872,710,
344,874,053,518,999,925,278,091,446,200,206,458,609,110,145,470,205,713,496,
355,608,693,570,061,773,397,349,872,149,392,947,585,044,698,840,008,237,767,
350,971,855,138,545,531,422,371,174,668,542,329,989,187,574,999,365,958,749,
604,871,788,928,640,995,735,689,543,702,491,311,108,736,331,117,041,864,206,
405,902,094,264,278,873,420,976,394,904,584,495,192,262,228,527,390,488,599,
486,391,414,440,167,521,261,330,361,363,837,457,891,675,055,818,091,466,072,
529,606,705,321,289,137,816,568,605,587,736,640,819,453,165,258,018,625,736,
894,943,820,233,136,860,785,683,982,128,610,792,700,522,342,845,108,204,825,
328,568,734,661,042,174,427,056,789,059,399,925,583,866,022,373,387,799,714,
732,125,698,352,297,232,267,610,769,084,368,772,636,860,657,078,369,588,451,
180,949,639,554,700,141,306,611,954,102,920,930,951,817,447,991,284,488,189,
515,361,939,750,063,715,703,775,286,442,848,443,804,675,104,005,383,862,217,
974,845,701,536,752,773,217,348,483,154,773,901,084,992,739,677,404,835,687,
639,493,103,306,932,046,643,803,182,899,396,680,144,643,537,391,941,235,522,
611,896,204,635,373,627,510,216,389,647,995,066,453,155,344,897,154,102,792,
120,680,254,219,780,080,256,299,274,871,137,344,808,778,845,148,061,695,622,
853,355,207,347,471,347,989,144,965,823,529,080,357,209,447,429,998,151,024,
513,997,303,109,874,469,931,162,506,034,265,391,218,240,996,310,896,369,452,
851,632,190,135,918,106,217,986,688,518,419,928,531,643,538,897,730,525,006,
370,048,708,177,548,090,489,022,117,451,027,737,057,923,203,221,235,775,649,
328,458,917,143,755,333,383,969,787,161,667,240,244,993,384,396,732,142,508,
952,274,339,157,965,637,540,425,402,846,663,580,554,549,345,891,214,648,543,
455,526,381,251,286,278,478,715,053,268,740,488,459,875,435,879,641,162,151,
590,713,795,608,741,323,707,607,351,520,506,638,062,832,652,830,903,787,121,
007,102,879,923,460,847,506,938,724,073,689,078,100,360,189,296,682,774,337,
041,163,337,990,934,927,582,820,320,270,687,290,347,265,907,412,533,894,643,
021,090,902,198,237,243,466,045,026,605,691,815,023,800,335,127,132,513,674,
543,725,725,298,281,086,548,129,963,049,027,896,558,020,611,820,953,308,207,
060,922,583,155,687,378,239,823,481,730,782,519,041,980,300,479,478,468,038,
194,482,704,752,876,987,465,014,414,734,881,174,376,061,069,591,698,678,439,
139,805,087,662,952,240,432,137,885,972,383,561,371,950,012,232,754,270,922,
626,556,524,042,124,745,519,418,064,913,628,956,941,512,580,149,720,549,034,
900,253,815,397,064,228,355,669,029,546,207,899,637,722,666,113,283,493,149,
984,522,686,735,347,286,382,266,031,133,292,344,504,627,662,047,169,455,250,
467,607,560,310,002,865,855,930,918,019,979,712,097,637,891,402,411,539,050,
139,046,033,470,758,872,718,569,335,365,573,139,259,581,924,816,143,871,746,
713,733,037,182,711,334,141,725,015,711,305,491,934,053,735,479,384,001,312,
197,829,812,330,323,808,655,920,853,432,281,322,571,234,569,435,931,406,768,
154,854,346,669,905,535,424,774,310,358,877,983,115,109,220,396,885,312,574,
913,763,541,421,960,045,478,819,972,951,626,182,052,361,605,692,839,876,412,
027,695,043,126,529,342,807,869,253,134,897,048,833,033,921,082,009,719,922,
041,921,078,008,563,121,856,750,956,102,196,671,726,427,057,122,358,535,000,
811,029,809,960,911,925,795,266,542,235,521,347,674,962,962,829,477,668,194,
499,329,569,415,066,229,802,457,916,717,618,415,875,395,328,390,969,936,374,
879,682,633,063,809,102,990,332,067,463,801,387,539,229,027,061,517,413,768,
307,737,373,446,248,470,004,207,659,020,376,164,468,188,177,948,623,219,522,
406,829,828,745,357,172,852,180,537,556,207,355,366,435,460,061,912,928,497,
659,644,349,971,459,709,942,048,361,023,769,313,889,466,773,733,520,659,270,
379,989,363,679,448,255,811,857,462,503,400,591,065,956,647,425,573,390,169,
679,893,569,035,795,617,586,818,724,419,638,875,692,203,370,899,171,039,308,
148,660,806,630,945,475,845,167,999,198,699,233,680,220,484,577,647,046,987,
883,643,245,793,518,984,334,411,423,069,976,026,426,888,351,651,447,816,503,
426,131,468,515,568,370,632,082,563,282,405,933,840,320,377,406,049,191,318,
282,977,565,185,254,147,529,470,830,311,836,094,919,006,302,118,005,556,238,
190,243,683,308,095,606,647,810,346,471,709,730,466,522,025,206,985,951,936,
252,548,229,432,396,474,183,982,766,915,618,681,814,497,914,988,391,572,338,
132,804,464,571,087,596,642,706,449,118,420,757,947,172,096,793,746,187,250,
078,166,322,944,663,481,966,816,433,446,670,478,107,371,315,500,917,448,795,
054,402,111,308,315,461,670,907,808,713,405,186,665,685,033,897,560,314,164,
955,762,748,700,447,440,946,994,633,350,673,376,522,734,303,955,132,397,198,
353,638,800,555,480,275,195,674,537,871,095,854,068,401,996,502,966,237,436,
359,657,978,455,705,756,953,355,320,196,165,339,633,505,134,776,466,000,743,
572,142,567,640,947,406,544,509,975,347,841,058,089,891,256,275,469,053,247,
680,600,048,611,492,405,865,165,644,622,435,886,922,870,797,416,395,395,782,
296,831,054,806,878,153,886,287,010,009,193,263,284,226,336,056,465,314,784,
117,400,356,933,656,832,475,494,786,993,771,492,171,127,115,920,254,548,869,
239,202,012,600,093,167,155,958,863,842,978,600,051,770,688,683,388,043,100,
495,002,851,492,414,734,725,479,467,587,215,562,632,521,539,121,129,712,333,
772,619,726,456,872,883,597,716,756,652,705,089,570,397,653,526,939,272,924,
612,408,890,159,433,847,347,654,722,723,621,373,460,530,687,579,262,600,068,
854,378,769,817,543,614,287,482,391,215,390,225,142,129,417,108,275,804,153,
530,874,058,882,375,467,117,946,557,945,566,428,299,691,845,665,073,142,435,
783,336,716,925,770,287,507,471,560,047,957,212,846,613,211,480,709,625,274,
938,911,812,180,838,100,023,350,172,096,254,602,149,324,574,928,802,527,020,
341,989,332,986,505,490,191,766,768,287,870,911,863,203,155,146,826,272,810,
902,357,010,891,177,220,580,657,820,227,339,239,013,165,491,246,278,290,277,
146,234,335,884,884,679,332,652,844,904,390,012,426,825,319,840,426,593,806,
733,681,971,592,004,245,558,748,363,416,011,274,167,282,432,377,240,939,548,
282,609,272,697,503,506,321,230,498,000,246,392,801,973,161,561,499,459,066,
280,351,841,129,028,350,639,785,270,915,722,409,212,076,836,284,295,659,313,
266,477,378,655,694,360,767,379,675,239,322,705,184,440,729,663,338,006,444,
957,036,460,939,303,583,166,963,263,022,413,931,062,739,375,262,827,742,805,
038,225,606,769,435,627,464,125,847,579,205,094,165,451,827,139,056,354,039,
388,394,293,270,835,915,211,769,464,046,112,520,821,332,637,340,503,777,202,
611,166,488,085,852,124,861,415,902,592,939,556,989,637,940,241,429,177,966,
506,305,724,038,825,534,870,718,661,613,676,448,465,232,561,389,712,632,831,
277,649,374,182,683,657,480,337,544,501,370,888,135,295,379,397,924,359,309,
204,866,245,465,404,595,177,754,342,598,510,643,423,188,448,728,912,410,357,
788,126,067,486,121,257,200,625,399,174,124,925,371,346,024,100,865,292,809,
102,848,248,963,903,249,124,512,692,804,175,254,174,399,832,452,577,305,057,
624,326,008,784,748,132,726,702,894,885,290,066,084,445,148,721,022,787,822,
532,394,890,592,114,642,008,207,894,722,378,333,573,050,451,890,472,751,740,
493,487,321,236,520,893,552,727,332,843,253,075,226,029,848,738,562,456,287,
602,325,517,178,518,553,370,582,175,101,891,010,483,599,696,243,617,998,499,
936,123,272,247,299,632,105,238,908,759,141,299,456,590,738,918,904,879,609,
515,991,979,639,560,083,047,469,680,900,771,576,469,156,437,999,067,380,248,
703,720,802,226,045,213,279,141,432,197,150,791,338,577,578,869,160,221,892,
195,833,538,707,279,712,112,629,696,191,238,176,540,197,636,132,732,874,525,
880,787,977,343,916,993,614,154,523,941,651,317,124,075,726,919,718,845,926,
877,707,987,454,017,195,900,415,773,301,806,592,641,151,788,539,226,704,877,
993,406,967,698,352,640,825,167,006,529,730,630,898,271,504,553,077,694,730,
179,531,734,542,218,628,593,409,638,052,017,985,879,438,496,635,210,781,593,
756,060,242,213,754,210,796,680,899,527,606,847,759,985,679,551,547,468,052,
136,151,413,084,567,420,242,885,640,119,462,161,023,389,287,091,423,240,487,
862,076,212,500,574,638,711,930,965,754,918,230,021,576,337,060,826,995,374,
846,301,058,527,527,131,673,801,998,636,219,237,938,885,633,905,477,816,989,
876,738,787,383,425,016,589,573,753,938,503,456,645,113,284,368,773,980,249,
573,460,948,030,346,522,582,897,192,449,323,235,563,255,758,181,139,004,559,
860,612,443,006,644,065,106,615,026,088,854,287,306,910,900,615,707,126,319,
411,494,370,723,136,514,232,779,154,861,861,716,172,677,575,056,324,395,406,
903,966,212,142,887,360,608,078,018,445,664,509,195,067,956,773,397,496,099,
995,040,478,600,377,465,315,494,338,517,686,726,249,689,065,205,110,363,333,
754,156,853,709,517,329,942,567,264,162,512,127,695,700,141,129,476,750,085,
172,332,463,280,293,454,508,562,998,123,632,383,203,295,891,452,042,003,792,
141,464,332,124,365,655,785,873,859,292,541,627,298,728,854,424,787,438,386,
821,727,842,756,300,156,497,185,427,365,501,231,188,075,096,170,612,240,216,
122,050,414,360,146,708,871,648,185,619,807,810,282,445,001,773,657,475,366,
060,193,173,053,437,220,116,819,267,672,877,940,493,713,506,052,864,312,606,
582,363,505,071,285,723,783,900,558,850,831,418,760,400,377,193,594,518,167,
037,935,840,148,599,576,362,822,736,732,823,710,953,246,682,987,458,552,681,
736,150,123,933,707,944,763,222,588,053,936,977,871,809,622,785,536,156,328,
253,413,572,201,347,519,626,370,538,907,295,651,242,454,499,846,939,465,394,
234,788,149,176,619,356,273,336,929,527,197,849,502,387,308,121,728,100,680,
082,400,406,588,246,042,145,877,603,276,863,454,996,193,494,294,420,540,866,
162,737,528,962,438,423,797,837,444,146,628,443,201,309,393,630,575,906,981,
596,051,248,658,240,924,781,837,189,529,901,150,906,838,795,033,779,208,552,
608,430,421,153,552,601,371,420,740,749,404,225,721,496,055,822,206,572,710,
543,584,468,998,653,626,161,912,919,958,227,108,344,882,124,864,281,499,409,
480,146,125,412,727,815,529,150,185,429,087,756,976,442,652,997,802,557,986,
730,309,412,459,020,813,621,352,512,050,091,762,545,693,635,341,146,400,003,
036,970,285,462,822,259,074,472,111,810,022,709,195,399,432,425,834,603,700,
846,819,103,822,492,208,081,145,884,056,941,424,820,250,308,734,560,986,464,
727,903,502,813,676,769,919,086,061,997,174,064,655,109,439,385,593,791,737,
182,887,993,586,724,375,816,193,969,914,586,093,520,358,202,324,383,133,071,
919,623,143,080,885,220,747,804,437,336,804,694,017,427,854,361,565,402,219,
886,188,233,133,390,179,657,661,310,866,815,793,524,552,998,544,463,976,886,
544,733,699,899,315,111,502,258,620,929,079,319,125,372,187,114,443,624,934,
091,674,842,308,145,894,187,620,516,573,009,466,180,716,509,559,691,352,506,
182,767,486,047,175,442,000,384,090,448,658,333,566,015,157,606,733,624,732,
763,648,906,812,846,963,948,201,238,508,524,344,525,463,885,798,484,960,075,
205,422,944,032,830,781,601,187,839,244,363,363,022,641,924,755,214,766,775,
757,741,726,139,609,262,711,187,080,685,064,974,245,470,923,982,215,799,761,
430,514,140,171,128,751,485,236,101,090,639,027,328,724,360,292,312,904,802,
282,657,851,219,180,853,421,055,100,884,170,998,134,833,382,101,301,792,194,
355,309,832,872,959,307,627,480,866,652,014,836,063,380,007,897,437,764,059,
954,530,065,969,431,302,833,130,103,964,452,878,918,548,554,906,431,684,898,
618,933,889,066,223,980,874,929,716,569,465,473,903,106,032,686,316,822,369,
032,073,484,745,654,817,750,659,490,989,626,311,859,482,460,928,230,482,414,
471,657,014,344,041,910,275,783,179,418,921,105,934,642,051,776,660,134,270,
900,356,353,187,047,825,524,047,012,464,201,166,197,280,864,700,973,331,825,
655,226,105,202,282,392,269,251,771,901,098,897,168,833,834,527,457,641,793,
348,272,412,867,682,548,010,218,515,487,349,100,590,208,625,301,637,371,316,
353,227,782,641,592,099,883,742,728,117,847,636,790,753,622,829,133,280,471,
900,309,228,263,512,370,273,980,762,714,004,008,634,474,486,948,140,716,951,
997,989,836,702,649,789,936,967,330,905,312,584,763,746,736,064,585,105,778,
079,502,789,980,497,226,406,461,008,195,199,557,897,612,889,272,111,081,074,
743,328,052,952,291,188,062,676,584,168,595,312,183,848,017,868,324,927,231,
598,968,874,439,997,085,465,439,306,146,910,225,829,359,117,026,941,210,637,
174,104,675,068,753,675,180,784,963,995,256,036,666,579,799,147,736,137,171,
637,550,118,023,834,273,722,689,485,108,179,771,219,041,957,963,759,165,173,
360,689,472,553,377,615,667,204,377,965,143,766,354,316,033,575,185,643,915,
676,858,720,521,109,767,377,923,905,002,664,288,483,065,767,930,146,105,929,
722,063,124,151,568,424,241,620,611,319,015,061,020,718,638,934,544,495,611,
731,795,979,091,138,049,291,708,764,953,611,619,418,154,567,692,117,477,318,
761,670,287,378,880,057,687,292,820,556,231,015,190,806,390,774,260,781,532,
675,514,615,101,643,746,639,687,502,643,469,405,612,671,255,576,355,345,732,
318,887,787,123,335,150,339,229,598,792,071,396,305,840,341,485,667,933,612,
807,625,132,280,136,714,171,411,409,679,697,033,617,637,031,847,566,862,372,
809,760,603,299,434,572,909,616,618,950,982,410,556,655,155,423,447,111,910,
663,841,979,078,712,590,611,633,696,752,373,058,934,462,322,709,231,452,528,
805,136,695,689,937,468,549,144,560,953,636,486,524,217,539,249,907,028,210,
560,680,093,678,659,518,550,163,965,089,536,807,490,616,858,637,411,797,303,
757,123,979,679,470,881,214,213,238,332,571,438,026,709,383,153,007,857,277,
655,983,215,917,649,236,434,261,025,958,425,609,445,283,791,669,013,248,924,
516,315,909,156,356,577,449,478,382,127,565,581,900,402,722,786,470,323,747,
626,544,633,710,647,077,088,860,663,136,985,202,043,880,758,835,210,476,709,
260,556,976,472,747,940,201,771,599,719,204,766,811,172,074,323,847,558,313,
617,571,544,532,453,568,288,482,549,696,476,992,691,076,438,595,202,134,604,
407,242,480,205,347,845,631,677,536,956,715,374,755,674,392,028,392,542,361,
759,868,241,870,482,417,715,433,532,101,804,093,778,114,067,105,228,205,088,
331,325,523,125,788,290,118,707,527,449,884,776,559,560,933,268,764,008,305,
990,831,854,839,833,394,848,969,241,623,742,126,470,613,418,444,757,179,874,
803,204,135,725,143,024,670,261,901,570,136,958,020,732,820,924,196,212,863,
613,266,851,436,849,590,078,887,324,499,292,482,219,724,677,856,019,994,169,
525,265,881,245,685,283,931,033,370,594,464,596,374,102,188,789,307,428,217,
641,948,467,817,510,953,794,488,152,680,076,675,195,449,751,897,584,510,204,
884,602,599,620,095,561,784,894,435,180,660,299,794,326,501,872,374,084,673,
361,931,902,006,813,685,344,603,374,690,376,872,634,538,285,197,590,478,881,
595,711,809,633,323,195,157,224,474,241,066,005,554,860,970,396,003,204,573,
449,190,399,240,284,647,487,366,187,010,502,087,251,358,507,312,875,503,583,
539,239,926,534,071,982,405,227,209,273,601,134,356,177,883,382,973,190,029,
390,312,740,387,943,596,528,814,466,591,654,677,822,913,967,517,762,407,857,
706,209,995,075,482,822,505,980,883,961,612,509,959,201,788,172,232,627,786,
965,589,895,454,129,842,591,091,516,274,683,170,148,410,917,441,414,241,639,
804,266,608,627,078,527,930,705,950,606,610,386,744,776,858,253,578,061,128,
983,631,441,138,602,970,854,318,140,734,512,110,849,416,093,043,061,400,595,
246,991,895,740,013,074,179,165,209,677,822,964,996,633,083,777,066,290,268,
667,081,774,279,863,466,206,103,648,877,186,540,013,922,146,799,519,096,093,
640,617,600,848,168,406,580,282,706,661,529,775,603,331,896,086,214,155,953,
680,254,921,220,561,804,454,952,667,468,809,342,289,975,841,331,925,097,593,
963,181,645,737,807,520,529,239,270,600,026,700,358,711,328,851,856,414,687,
443,896,135,449,010,457,506,190,819,563,407,140,006,104,015,811,219,093,345,
661,049,850,935,473,616,583,025,347,709,710,536,550,890,389,005,835,272,100,
594,471,515,869,178,347,876,260,023,855,902,912,125,648,161,849,277,775,864,
638,855,635,014,579,418,110,857,486,736,213,925,371,092,556,466,968,128,742,
813,501,458,603,174,738,178,994,805,089,664,055,052,767,171,550,128,721,437,
463,000,921,008,296,898,531,945,041,426,795,700,462,382,761,595,597,214,417,
520,102,258,267,826,981,649,721,804,912,776,630,515,402,774,494,415,698,881,
371,983,770,652,825,140,382,381,657,093,102,380,445,139,173,307,145,054,959,
838,171,449,075,306,907,589,004,235,572,315,342,437,700,010,068,970,016,796,
119,816,300,268,619,600,589,957,465,031,410,900,782,838,521,618,344,420,014,
196,573,703,847,170,684,322,653,306,852,086,528,727,449,780,938,815,078,752,
323,906,034,271,229,405,736,979,699,908,247,603,239,951,546,734,539,265,530,
080,237,823,382,615,626,703,964,440,556,057,586,872,351,212,313,224,910,787,
673,641,607,304,397,755,217,306,796,694,655,270,883,048,432,967,880,760,343,
091,966,814,883,930,740,219,389,642,261,955,965,213,892,879,206,035,124,970,
643,757,403,819,909,580,616,410,555,406,651,199,927,769,563,759,176,004,455,
098,150,051,392,656,928,965,582,363,534,197,088,007,483,593,034,752,005,891,
852,954,253,025,747,800,215,834,479,687,386,585,400,243,573,894,688,260,965,
008,951,673,970,793,951,099,085,422,032,160,529,568,649,649,969,891,214,836,
036,101,002,122,984,404,275,201,354,898,443,917,703,991,278,167,051,646,281,
860,337,584,433,279,490,510,454,022,422,952,317,210,163,070,245,184,617,749,
594,084,055,159,330,387,900,744,720,763,720,873,252,009,277,049,366,148,246,
275,978,042,451,652,469,925,431,815,003,745,681,478,548,462,981,504,527,109,
792,299,072,047,897,145,920,781,598,179,670,180,315,187,516,901,605,201,633,
062,394,771,462,316,557,196,855,015,008,326,502,748,044,697,074,181,119,735,
629,447,387,575,922,298,370,509,888,319,932,854,890,890,658,221,119,213,505,
542,376,042,532,353,369,165,873,582,721,706,334,936,910,927,947,382,011,423,
814,731,409,818,904,871,369,393,952,689,840,538,806,369,184,018,945,751,622,
785,784,607,668,872,470,886,191,614,648,294,130,730,102,810,374,382,052,157,
486,348,332,598,270,200,618,324,946,683,282,947,578,369,074,490,536,256,958,
186,480,925,019,309,965,332,970,236,240,968,395,013,961,203,944,660,674,723,
703,189,012,671,443,670,072,304,724,176,384,295,613,080,023,835,146,013,753,
523,925,261,905,825,046,746,272,430,123,577,344,107,274,003,739,814,980,076,
794,766,602,602,960,685,499,173,219,526,925,889,920,440,786,417,852,946,989,
593,967,381,535,732,799,899,737,917,157,216,359,892,188,798,473,509,302,765,
024,037,491,031,435,082,664,438,137,672,447,989,044,204,111,574,458,779,244,
903,172,178,734,244,249,014,330,390,139,923,862,913,229,361,720,017,632,776,
586,561,986,283,313,550,754,970,107,449,274,421,594,258,475,086,370,876,649,
601,929,869,250,466,340,292,291,459,923,900,127,376,003,482,511,151,381,506,
867,582,494,297,171,645,024,784,929,368,421,330,630,158,600,449,222,419,549,
992,161,304,224,799,933,373,536,968,391,694,064,576,651,664,688,627,998,653,
303,684,454,703,125,571,471,454,455,562,712,392,384,442,409,083,779,489,000,
740,618,967,627,221,904,017,957,093,297,901,088,130,267,251,014,266,105,588,
154,134,001,387,406,295,249,280,995,978,427,562,723,515,241,954,788,288,363,
429,964,662,417,106,229,044,920,778,252,890,848,380,199,463,216,882,315,041,
766,806,750,171,562,274,344,798,836,273,558,851,885,871,559,223,086,843,096,
137,962,527,896,602,305,274,105,624,796,667,509,081,610,920,564,383,547,535,
213,207,059,428,449,051,963,257,414,916,509,681,686,723,622,307,437,610,178,
513,555,885,372,181,427,379,268,456,301,120,632,377,680,929,998,711,477,254,
310,521,991,775,778,948,132,329,529,275,614,837,262,201,227,398,692,960,073,
108,110,275,510,106,827,892,163,736,574,080,863,742,466,576,637,696,816,555,
702,240,818,590,713,377,088,704,256,919,261,683,173,947,952,080,534,864,232,
468,660,163,498,616,420,614,612,185,436,076,566,599,389,364,724,290,143,655,
227,924,812,969,726,743,983,641,315,280,985,112,835,045,768,871,245,866,248,
874,869,374,261,264,783,341,084,183,465,454,278,949,220,428,178,942,791,820,
798,995,086,232,361,646,021,703,583,994,946,119,834,416,294,909,813,392,469,
135,373,249,795,593,612,191,793,213,930,235,356,558,724,363,846,779,797,309,
362,700,032,138,714,549,260,668,685,906,717,301,651,091,589,098,436,788,105,
053,327,483,293,065,480,372,896,756,041,092,613,699,112,507,382,215,362,867,
151,416,680,049,400,007,355,298,175,783,184,293,682,496,667,157,963,444,050,
633,217,129,831,447,636,494,025,091,460,089,916,653,407,060,893,780,856,958,
876,796,685,605,145,040,153,185,921,257,132,007,604,092,177,333,241,911,542,
115,804,998,452,389,646,652,560,422,132,260,032,993,049,627,971,837,009,488,
937,343,154,282,392,041,930,556,508,924,485,880,458,148,279,026,025,767,761,
834,574,436,665,636,443,337,451,113,949,982,917,895,881,375,162,863,539,742,
330,071,542,761,010,066,217,691,218,288,683,110,381,220,448,651,952,650,065,
607,567,997,669,788,207,286,449,095,531,006,745,169,065,870,024,148,730,615,
506,182,961,835,888,289,730,890,081,235,301,949,587,457,432,292,121,332,064,
250,710,878,175,054,882,276,145,886,056,572,095,623,975,584,056,456,970,292,
835,689,051,654,528,265,528,310,132,887,687,429,539,037,102,396,827,411,312,
077,781,764,878,972,609,695,936,823,374,851,024,036,225,889,946,820,009,675,
372,801,241,533,536,014,405,842,354,520,007,963,669,305,212,242,574,592,877,
674,088,977,200,484,908,645,850,009,605,987,106,969,670,806,276,220,533,265,
958,706,080,690,673,874,150,630,217,279,269,534,076,411,164,429,101,197,396,
118,101,746,150,670,978,094,375,726,955,826,949,443,647,971,124,159,382,727,
309,526,504,130,920,113,789,205,430,051,873,135,746,838,428,413,342,887,666,
462,696,109,424,650,738,962,355,278,399,639,824,181,547,471,028,319,129,921,
827,823,049,346,620,225,049,159,181,267,734,996,139,973,371,522,835,929,831,
643,017,995,528,188,807,059,793,809,576,237,772,985,781,186,884,339,440,738,
043,307,091,890,781,690,815,240,872,854,933,336,048,489,837,773,052,810,744,
371,886,861,117,308,337,602,054,789,102,636,605,038,006,579,508,966,891,703,
432,815,049,402,217,472,350,857,536,900,014,899,517,132,781,808,317,053,385,
320,500,018,328,513,375,666,680,074,318,990,542,252,580,708,509,237,513,693,
509,198,596,476,041,057,215,142,153,594,452,348,513,621,949,823,820,312,065,
198,796,829,146,928,406,644,098,756,513,980,386,474,379,797,682,177,874,981,
460,310,054,667,262,997,536,703,683,957,928,045,555,254,998,681,954,077,773,
859,648,899,290,386,307,678,701,363,829,580,897,489,717,162,547,075,298,875,
833,027,527,315,556,963,329,476,172,065,682,547,466,244,321,114,957,361,134,
118,017,821,348,516,954,903,912,047,603,038,168,455,235,230,981,721,815,743,
130,412,001,461,746,227,120,444,260,889,687,258,837,982,887,931,508,255,217,
739,563,071,046,644,100,984,323,788,926,315,878,602,825,596,303,955,030,234,
462,271,098,162,105,363,398,742,468,613,913,804,559,244,211,027,183,192,110,
944,865,897,151,953,833,821,637,415,937,218,257,534,556,704,599,143,416,134,
908,064,984,607,585,356,828,493,076,672,528,583,028,745,018,687,339,571,052,
103,552,101,231,655,256,933,636,958,522,371,595,725,197,157,009,956,088,447,
149,074,340,800,376,806,077,364,297,839,907,054,367,338,209,917,188,991,471,
667,583,790,491,589,050,013,763,158,152,423,965,591,069,826,515,615,962,924,
882,368,938,630,044,309,785,006,996,257,121,347,816,306,585,824,148,730,149,
487,416,457,742,665,543,022,975,832,834,335,148,729,797,289,243,096,751,231,
109,864,833,996,466,266,415,384,781,344,313,009,974,866,310,942,292,554,685,
427,710,802,783,826,915,630,803,537,250,508,083,843,572,021,849,835,500,885,
953,597,803,925,039,875,782,754,904,775,046,408,516,669,487,375,012,038,164,
721,953,953,080,230,290,476,351,472,011,881,834,415,421,183,794,188,110,320,
599,668,472,761,756,421,388,963,447,380,235,318,058,563,853,501,630,641,249,
831,403,205,180,007,883,889,440,613,343,290,939,726,076,365,115,831,075,882,
933,275,383,292,591,154,421,798,681,598,072,170,174,745,583,817,704,627,286,
290,005,298,793,374,540,320,734,569,826,141,000,029,589,711,273,077,506,420,
591,505,753,540,674,039,891,698,685,451,267,901,534,313,488,731,082,620,898,
544,377,009,699,578,901,170,790,290,045,545,998,910,259,707,325,334,613,047,
261,829,888,817,842,701,430,077,488,238,488,591,084,864,559,508,217,146,986,
160,552,107,747,674,780,179,867,648,200,609,800,337,802,585,662,689,760,819,
246,866,578,483,185,005,940,157,309,085,385,877,061,240,087,549,321,210,213,
410,396,707,112,798,671,793,293,587,070,440,808,564,970,550,660,306,990,778,
248,879,547,835,694,770,767,176,475,415,375,921,683,375,397,081,284,121,247,
409,198,470,486,540,910,619,682,018,639,666,522,273,987,900,848,291,745,197,
294,956,893,975,676,574,768,158,472,817,436,003,307,277,143,320,243,920,723,
852,012,661,718,526,569,670,107,931,821,552,413,882,060,831,692,804,186,137,
472,826,586,297,049,181,493,541,212,977,876,125,599,684,862,035,326,548,979,
931,764,352,931,917,755,668,411,591,464,297,032,569,489,829,372,350,853,018,
715,001,047,459,362,942,341,076,086,933,198,022,859,973,582,721,091,981,892,
304,794,018,248,530,722,787,268,297,415,606,965,626,486,803,365,012,907,134,
462,148,217,844,910,732,572,144,837,294,207,536,265,282,214,886,726,185,437,
110,749,390,615,388,060,544,804,966,349,310,381,158,978,905,682,212,740,454,
804,735,232,532,228,166,805,146,257,896,321,021,343,352,522,848,003,885,406,
111,318,787,644,292,005,944,676,670,428,258,479,309,936,296,383,428,309,177,
438,798,056,604,348,081,114,712,659,220,962,671,982,303,232,708,261,671,511,
876,758,210,174,650,450,311,505,265,076,314,818,843,482,578,408,194,706,061,
160,227,315,105,719,725,890,259,837,392,908,625,432,509,106,951,765,337,599,
049,715,538,263,654,779,358,243,322,259,348,274,208,808,678,468,395,029,358,
987,371,282,871,031,378,710,721,137,290,427,908,637,589,270,645,455,625,286,
194,527,596,513,635,222,107,721,350,898,780,066,802,521,912,433,143,914,021,
910,376,586,777,073,593,915,465,045,125,246,111,737,313,645,526,135,136,366,
524,354,890,800,378,722,175,049,151,227,623,541,592,423,556,159,143,703,613,
850,063,877,129,878,754,248,945,540,568,101,262,875,810,386,592,300,504,003,
387,207,873,023,008,565,222,141,965,697,520,821,685,564,824,872,788,745,047,
735,147,652,774,865,677,244,523,459,358,614,982,607,293,527,391,187,636,829,
417,796,844,359,614,462,927,606,956,157,301,702,367,895,146,396,768,317,328,
976,327,600,918,632,742,780,562,477,584,584,668,964,038,470,384,555,929,322,
772,130,232,182,182,297,154,064,863,319,303,130,376,637,710,628,610,938,225,
379,221,807,718,348,291,122,394,397,801,040,048,574,815,023,660,177,747,374,
170,299,716,461,023,486,872,609,653,687,610,172,722,013,341,841,198,624,892,
683,334,370,285,364,489,041,520,709,049,050,431,899,427,208,195,598,125,874,
814,143,088,260,545,470,176,991,354,903,971,482,046,718,288,861,597,475,351,
428,967,361,683,660,647,452,323,863,279,669,862,387,732,200,668,929,791,846,
942,433,358,362,015,982,882,237,127,474,259,262,413,388,481,046,955,631,090,
999,441,945,670,683,876,729,550,288,671,124,082,984,645,623,731,768,882,773,
013,134,693,674,075,083,131,097,686,289,827,546,937,650,110,091,031,907,500,
526,676,710,360,171,984,297,050,926,455,865,091,506,952,234,028,711,943,672,
111,830,748,719,452,018,859,625,668,826,703,449,924,000,273,308,764,384,517,
235,725,439,918,368,843,279,026,622,952,625,159,337,142,966,843,957,367,048,
055,421,879,216,371,669,227,498,260,534,723,229,843,187,252,702,012,994,466,
368,232,308,292,689,536,796,309,552,851,737,057,372,384,983,117,866,227,068,
184,117,163,137,907,069,684,446,497,967,113,930,593,868,193,700,466,235,940,
594,827,883,061,951,977,916,101,650,330,552,452,385,756,477,351,512,061,569,
021,264,399,460,184,310,114,411,551,610,713,321,579,804,321,652,325,197,108,
429,419,105,677,197,506,191,703,476,396,689,962,328,104,365,790,564,529,320,
658,491,059,782,380,965,225,402,154,628,807,220,541,173,875,463,730,331,373,
117,593,944,784,567,388,553,777,897,330,129,995,990,648,169,669,801,135,034,
994,825,068,204,345,839,664,371,545,937,355,443,892,017,303,518,473,822,049,
879,803,045,452,853,575,625,203,169,922,608,466,000,727,331,442,073,138,729,
916,616,572,814,889,073,652,997,734,554,765,259,714,415,476,095,548,939,621,
514,166,288,358,858,662,627,788,365,447,950,615,068,321,375,073,108,206,434,
613,872,110,763,358,335,939,859,042,577,782,185,662,549,682,312,545,688,844,
220,819,070,319,397,472,652,333,715,024,461,386,244,665,480,647,712,401,299,
165,687,609,653,787,855,281,016,981,358,655,895,073,547,305,001,329,081,321,
448,403,027,741,134,568,290,779,897,805,815,869,650,238,987,644,758,052,865,
335,208,734,709,718,067,514,663,217,539,437,616,617,746,713,711,328,499,430,
306,705,699,478,355,726,905,981,426,803,758,763,879,007,410,988,300,447,989,
988,379,062,275,114,018,978,435,969,893,726,211,871,925,877,591,006,376,556,
173,517,433,103,141,016,833,444,321,941,661,877,356,577,146,165,825,587,797,
306,884,472,316,756,111,974,195,142,034,038,890,301,461,388,122,352,785,203,
285,033,719,005,987,248,354,485,551,926,746,425,033,990,004,878,811,956,244,
929,424,350,985,000,131,495,868,499,811,452,606,979,210,652,084,840,062,248,
602,045,976,751,584,532,703,033,283,462,537,911,945,902,330,475,600,594,129,
849,383,224,348,741,813,870,565,416,737,491,996,707,618,958,512,858,997,246,
943,564,277,111,489,209,319,044,851,052,521,064,096,731,547,838,996,930,413,
643,418,351,786,899,099,470,437,023,640,084,972,401,664,549,849,324,501,169,
479,398,414,059,935,619,958,723,912,604,867,855,148,249,561,845,391,732,304,
339,422,223,349,204,744,200,399,463,157,584,937,749,179,094,838,699,373,409,
769,355,707,426,191,297,518,132,083,234,532,485,733,133,826,462,055,280,432,
819,701,439,553,390,509,225,557,124,627,180,863,238,923,138,452,018,347,471,
468,418,819,523,166,872,530,772,405,464,752,893,773,661,054,422,194,001,305,
064,002,094,826,105,171,405,949,047,128,339,457,828,897,163,011,480,142,027,
252,542,552,771,802,044,725,026,782,082,115,314,092,541,342,033,897,421,400,
558,281,455,521,262,767,725,273,619,141,755,447,746,101,444,508,081,671,179,
317,387,237,160,849,245,742,364,750,128,194,100,128,579,033,472,392,425,416,
552,761,153,026,639,361,678,123,619,047,702,721,760,488,034,327,920,378,767,
636,257,822,251,064,256,968,583,925,411,388,386,723,040,347,785,967,260,994,
867,061,791,053,217,777,035,200,282,052,551,918,316,365,772,045,912,788,271,
288,276,809,659,623,038,797,478,855,077,132,074,486,424,178,559,094,625,681,
416,969,103,807,185,420,608,092,703,708,790,834,536,559,215,107,787,284,079,
883,680,222,131,763,013,954,662,072,318,716,143,939,738,187,407,512,863,926,
929,120,297,078,396,269,596,586,679,737,172,886,238,126,207,303,092,258,205,
479,707,587,949,798,287,079,932,878,737,339,158,790,536,297,335,878,081,776,
695,134,040,417,320,316,274,769,319,857,813,329,815,133,638,553,078,654,413,
017,630,547,195,306,101,643,747,506,443,151,279,076,884,806,941,525,241,927,
033,959,380,229,083,845,105,588,817,054,693,207,305,185,586,175,724,089,522,
082,579,540,459,033,378,874,081,598,376,916,996,803,081,080,983,728,192,953,
633,231,813,800,272,468,862,222,293,450,072,395,802,768,535,183,413,785,101,
132,295,172,504,256,768,785,273,367,025,260,873,418,425,497,596,244,215,149,
284,042,989,445,692,854,617,126,789,667,660,440,472,519,835,699,167,347,961,
030,005,609,305,791,993,421,419,959,284,258,662,591,944,675,956,030,954,314,
335,413,219,600,551,564,889,544,204,505,697,479,259,459,136,115,472,852,538,
303,111,768,121,575,441,859,333,956,357,371,638,521,178,088,827,112,767,613,
088,477,582,094,554,261,636,249,284,811,228,378,235,839,424,529,043,847,115,
815,552,558,186,857,107,017,615,098,587,301,276,136,557,979,787,793,078,543,
391,893,169,637,535,895,916,475,864,432,844,026,736,021,447,446,409,553,806,
971,820,063,350,769,958,732,083,530,780,845,831,302,063,351,647,790,860,178,
860,409,178,561,660,599,575,179,572,924,883,962,539,987,920,402,034,936,131,
572,028,406,463,555,900,754,017,000,589,842,523,241,830,364,640,577,931,737,
705,870,582,571,356,266,181,257,403,452,824,967,933,450,921,642,092,510,329,
037,352,742,177,850,068,285,381,648,985,590,739,819,207,188,896,782,054,288,
721,532,687,338,154,102,384,318,521,896,175,277,853,718,972,488,967,783,649,
528,580,567,757,826,706,007,235,314,490,632,153,185,654,098,602,886,960,886,
083,793,701,991,954,418,490,761,569,001,352,291,240,470,465,925,171,641,145,
464,416,102,904,970,169,881,903,952,264,737,927,671,971,853,750,034,910,872,
310,762,975,701,768,335,263,818,589,979,692,099,377,893,162,351,639,474,663,
769,123,727,015,877,956,864,689,829,212,088,847,618,583,014,397,431,520,945,
314,394,235,948,560,454,687,492,901,056,596,468,732,810,915,885,573,386,158,
198,954,789,857,565,587,299,894,926,133,092,778,031,604,799,498,245,248,616,
355,647,417,295,341,518,224,597,671,976,387,426,962,957,036,037,298,976,772,
526,050,189,986,256,116,602,089,749,861,698,689,331,710,797,445,046,434,306,
589,099,380,839,474,329,139,557,436,568,850,773,953,159,737,432,331,532,317,
607,169,137,000,069,834,652,707,835,658,488,808,730,202,841,106,860,359,578,
662,708,929,320,372,290,114,138,530,269,874,274,470,975,042,173,771,953,592,
995,890,482,731,647,703,373,234,623,916,143,211,871,086,110,700,933,568,378,
473,029,088,218,487,114,181,765,172,436,902,409,577,777,184,244,393,555,385,
202,492,519,007,412,713,318,626,144,496,910,864,839,997,593,053,677,500,997,
308,002,365,386,323,709,328,733,518,360,521,607,454,175,785,323,694,695,444,
568,578,445,133,834,523,043,033,965,928,956,979,663,014,336,104,244,767,489,
652,651,918,904,353,966,216,691,509,394,058,696,148,963,469,427,614,037,940,
411,057,661,305,719,717,255,328,068,797,117,361,437,279,675,817,980,071,514,
397,181,938,059,503,386,848,768,110,903,710,887,696,401,970,979,110,233,319,
190,100,004,884,668,589,997,067,868,793,923,615,109,288,034,171,870,353,388,
948,000,269,125,841,282,765,738,193,188,662,221,289,804,445,536,587,174,139,
817,051,525,722,804,339,868,338,268,941,325,829,857,538,835,503,336,486,720,
889,862,014,238,097,004,170,669,713,966,623,251,232,793,980,862,546,981,428,
478,956,072,093,823,203,249,021,586,903,876,520,004,762,511,577,023,060,647,
838,620,650,425,787,813,305,324,167,586,924,647,473,029,891,333,703,256,331,
105,288,939,234,212,546,917,267,680,366,436,414,196,130,127,615,732,813,499,
886,861,520,948,932,936,058,327,415,581,530,385,775,810,899,615,002,722,328,
312,072,878,775,025,763,288,279,200,362,976,036,924,568,420,642,984,896,991,
846,261,104,839,232,341,323,751,969,137,081,757,344,457,203,333,954,074,010,
475,346,458,549,520,795,207,394,985,268,482,860,032,999,397,463,999,385,707,
492,110,841,002,941,654,984,927,911,489,058,950,982,507,591,500,565,494,643,
402,963,396,049,390,155,496,281,638,675,487,161,095,803,911,434,627,565,357,
828,091,370,836,147,838,458,216,373,276,359,333,164,642,068,726,838,751,421,
657,490,274,433,582,713,707,788,774,309,457,715,082,243,158,715,179,531,544,
672,996,733,294,819,406,316,244,164,880,640,225,028,303,060,861,602,112,791,
157,573,788,047,519,031,310,331,924,938,243,103,403,704,194,661,269,959,301,
548,639,092,835,680,486,501,574,232,598,504,574,066,164,135,175,619,784,363,
847,389,469,898,472,129,184,778,905,542,700,175,272,705,532,977,219,435,081,
799,338,374,636,809,875,457,096,621,217,140,324,911,660,837,541,140,385,655,
120,824,350,829,706,612,897,440,897,359,169,464,469,820,096,913,600,384,132,
435,669,993,304,864,024,959,626,941,036,176,848,547,651,807,480,241,327,830,
882,731,285,922,774,781,108,714,454,407,412,647,660,109,293,642,489,597,056,
267,065,327,829,801,311,295,773,565,851,696,851,039,115,969,934,393,158,597,
019,593,360,080,554,570,563,641,223,282,694,443,005,563,436,937,476,229,547,
784,037,883,329,762,909,611,198,309,723,565,001,786,442,607,071,961,263,031,
932,983,889,334,221,300,851,342,168,801,649,423,522,041,357,300,228,628,301,
963,412,016,256,990,091,149,288,300,684,950,192,262,177,885,753,164,974,102,
243,344,347,190,511,220,007,386,016,951,160,018,832,341,343,979,102,783,853,
110,528,143,613,536,982,898,186,537,587,387,766,345,025,748,955,103,080,330,
164,502,193,667,764,700,143,285,069,533,661,619,395,936,739,360,252,323,871,
136,850,625,395,321,805,186,730,339,950,628,864,392,653,328,606,663,314,839,
147,128,802,524,029,640,426,604,086,776,916,750,121,048,662,847,217,843,637,
842,931,140,992,299,266,994,760,099,925,021,513,371,958,598,904,758,594,448,
939,954,714,613,213,577,668,553,179,347,353,938,012,538,572,698,365,314,307,
609,340,283,070,156,531,867,913,698,201,579,120,545,818,071,903,637,301,586,
766,472,555,968,821,585,761,970,146,148,171,874,363,385,318,062,482,561,918,
856,084,198,709,962,179,478,542,071,062,525,018,563,529,552,065,851,599,967,
470,256,755,720,522,982,772,474,044,328,235,510,053,554,489,710,829,253,128,
709,107,322,245,482,672,024,472,072,966,039,007,943,363,911,875,130,885,195,
366,176,981,753,982,907,056,698,909,737,265,799,040,457,278,915,417,402,068,
173,691,237,260,846,053,244,440,588,402,765,702,318,869,743,199,277,504,445,
721,812,564,995,926,635,719,098,797,899,903,144,395,433,518,983,152,461,828,
639,659,070,275,280,503,908,901,750,428,372,918,805,105,774,975,514,926,480,
452,570,566,751,143,867,833,262,621,658,836,336,046,067,113,325,478,916,719,
717,071,396,262,347,045,187,097,831,948,970,444,282,210,862,403,745,557,524,
488,094,221,937,162,455,171,407,820,735,659,375,521,460,751,072,076,508,301,
075,673,859,542,002,686,534,424,009,928,568,366,003,144,719,775,654,333,426,
168,555,204,838,160,025,543,180,900,594,707,462,584,255,949,225,704,904,602,
737,157,571,251,421,503,156,547,640,096,235,234,092,976,572,348,673,007,479,
062,105,159,827,346,221,318,479,319,093,907,124,005,964,799,533,286,105,531,
220,964,853,268,973,211,137,692,414,147,241,378,151,024,821,398,333,463,313,
830,522,197,431,673,049,417,130,028,178,168,092,975,759,570,652,649,122,187,
857,356,450,053,175,194,708,584,619,160,937,826,680,176,803,407,100,684,836,
678,788,107,916,356,940,533,826,779,875,127,152,933,949,182,817,967,107,252,
471,346,307,852,687,013,779,225,933,800,757,634,373,669,068,803,175,087,917,
209,637,075,213,404,806,340,091,394,625,998,037,601,287,032,766,201,979,520,
484,480,868,915,211,706,562,898,082,301,491,091,310,594,521,031,729,682,865,
617,371,109,389,144,398,015,246,145,237,772,573,936,660,337,735,245,613,010,
444,179,428,191,598,976,311,744,447,396,237,739,691,935,466,492,876,088,148,
685,164,867,301,453,545,792,989,090,767,000,483,687,664,472,473,475,784,785,
530,363,250,029,862,911,609,458,618,364,470,093,874,394,525,153,215,982,399,
107,731,863,924,857,015,627,177,597,846,413,610,042,359,249,192,540,069,708,
000,365,468,558,810,521,303,994,959,431,086,474,892,961,003,703,797,333,809,
448,795,831,560,132,278,947,965,936,181,961,479,221,601,997,752,805,925,084,
642,725,738,250,657,172,861,225,824,957,520,055,167,537,515,541,528,149,775,
437,114,084,534,364,040,103,550,078,802,127,914,765,445,558,438,752,613,227,
418,445,446,406,414,194,852,219,228,136,216,628,926,661,858,811,248,353,170,
579,692,834,164,667,682,674,143,995,927,778,794,027,345,063,364,318,227,921,
825,215,694,993,645,698,309,344,623,386,248,110,895,371,049,527,873,117,256,
566,885,332,214,009,951,375,379,316,755,485,526,878,483,498,679,131,192,088,
322,717,621,358,030,001,447,588,711,080,450,259,887,846,511,632,056,862,991,
946,364,056,904,264,252,824,146,516,280,611,257,508,628,877,590,792,006,152,
629,220,043,771,081,576,946,851,765,257,812,439,035,773,459,876,542,258,206,
636,555,066,961,079,774,173,976,645,961,000,658,788,367,815,088,954,569,128,
310,490,703,432,785,150,666,736,197,506,961,451,349,391,294,357,799,402,442,
286,957,194,275,393,734,547,345,223,669,607,180,245,376,928,070,526,934,347,
216,779,238,454,575,359,268,731,380,278,787,533,635,792,361,143,705,970,737,
333,047,403,712,892,874,304,755,727,798,852,841,860,672,471,909,717,812,248,
339,308,101,178,529,190,920,613,608,388,703,653,484,532,986,340,710,402,690,
841,300,195,584,275,941,865,074,188,036,959,570,440,204,179,298,267,059,902,
823,555,450,306,703,245,350,270,369,414,994,145,547,763,048,157,753,691,460,
243,738,326,409,550,279,508,130,775,458,937,975,117,697,073,349,393,769,336,
338,948,130,125,045,745,109,827,743,926,587,914,484,596,474,271,885,164,263,
718,209,831,513,379,048,516,685,454,144,551,481,747,018,325,774,834,657,500,
256,119,245,836,498,436,009,984,144,297,764,195,004,965,979,294,096,708,665,
199,702,402,889,520,412,774,964,400,515,165,593,941,910,189,373,241,878,999,
780,061,164,951,731,898,620,328,821,298,726,134,532,229,257,541,806,810,021,
256,112,585,718,577,209,696,705,053,714,388,966,229,753,920,297,513,248,298,
949,043,725,311,249,799,722,015,391,578,549,179,042,545,433,477,074,483,923,
204,848,335,656,779,781,246,035,408,780,070,694,576,067,488,827,324,364,589,
137,848,947,841,220,327,182,915,321,810,086,390,367,115,712,801,035,766,271,
411,082,664,654,587,733,455,959,382,355,217,411,828,384,925,406,829,713,393,
841,991,404,462,914,315,163,066,001,619,914,504,091,524,812,245,400,161,255,
907,396,880,674,943,966,916,651,974,345,830,018,909,018,848,458,172,179,203,
927,441,387,020,246,804,159,621,196,487,936,195,053,968,833,721,351,415,464,
029,530,011,723,345,516,943,169,857,017,069,975,334,768,910,758,228,137,390,
878,862,608,922,840,744,276,758,943,610,627,873,724,136,221,911,623,611,060,
422,161,383,267,340,260,141,231,276,336,039,885,661,781,455,154,032,876,829,
787,509,591,117,023,795,863,336,979,758,563,997,205,436,973,213,754,376,991,
633,813,777,207,726,348,542,622,662,742,900,716,035,535,478,545,172,881,400,
033,965,560,199,972,195,167,846,128,210,101,003,911,796,023,160,553,215,789,
920,083,537,771,344,143,426,639,992,419,902,607,977,476,854,118,704,317,444,
707,675,834,794,756,107,579,551,859,987,065,085,036,415,101,066,294,747,224,
171,633,216,642,392,208,802,324,590,919,281,643,986,110,457,928,935,480,860,
540,068,740,834,101,683,058,583,314,053,719,932,437,276,006,273,384,928,571,
864,560,836,943,082,287,406,804,504,925,750,037,652,669,350,457,110,620,520,
079,172,446,743,543,375,663,703,635,817,853,860,752,100,038,562,407,559,844,
316,543,878,450,678,054,843,712,266,069,807,380,844,967,940,160,885,800,255,
585,872,231,164,702,711,100,951,064,885,984,469,188,768,854,947,848,063,057,
964,653,445,851,089,115,549,839,215,404,720,904,477,802,628,609,001,705,338,
764,470,552,255,225,370,042,895,000,087,255,621,382,712,324,960,979,521,413,
274,556,205,732,130,816,990,584,121,189,386,727,133,830,800,595,166,285,018,
298,326,267,042,977,056,688,501,924,762,975,630,888,030,638,003,802,969,579,
547,503,173,497,481,110,356,967,452,205,695,788,345,490,417,349,589,521,187,
138,324,083,775,574,228,036,427,030,301,404,770,282,110,518,280,901,912,930,
980,863,109,202,437,445,428,407,217,307,149,080,247,188,927,263,659,174,336,
909,489,656,198,767,929,017,841,539,149,363,384,063,034,132,267,679,896,565,
351,371,696,921,151,886,781,232,462,357,260,507,769,329,370,274,200,500,718,
184,628,693,463,449,834,408,853,011,842,723,401,791,060,872,325,766,238,207,
145,478,625,493,438,522,230,050,242,892,643,146,932,262,452,606,003,414,997,
572,537,974,318,003,983,926,182,848,953,590,888,876,388,390,223,885,711,822,
706,999,337,617,435,862,372,530,661,279,878,943,969,946,515,130,558,260,106,
838,563,658,373,016,354,927,037,633,595,319,606,841,414,578,152,928,301,656,
093,866,925,081,643,240,067,776,837,795,259,317,747,688,012,813,568,029,828,
308,341,396,011,716,835,671,790,434,046,701,566,203,227,753,016,959,702,735,
915,930,104,429,445,827,567,455,284,666,087,749,861,719,461,173,597,336,218,
273,747,318,845,608,151,360,953,517,488,172,972,939,752,952,398,330,785,349,
509,318,147,654,488,465,360,421,544,950,206,918,433,305,949,652,878,145,563,
039,854,326,683,632,330,877,104,476,090,750,092,895,083,793,413,955,047,553,
684,803,792,445,862,999,486,814,947,653,498,040,170,767,616,557,951,722,830,
013,184,001,618,626,586,825,004,817,002,271,763,195,372,038,189,005,079,451,
533,680,767,795,872,284,480,480,452,979,164,195,015,263,273,180,556,418,557,
662,663,308,094,601,038,920,957,374,263,051,089,954,464,943,752,516,478,053,
512,761,145,342,548,082,272,767,084,655,553,752,879,525,316,141,398,821,708,
579,499,676,032,983,374,507,469,725,898,587,079,231,816,791,524,567,380,058,
169,249,987,997,513,840,459,719,825,636,407,519,610,713,038,216,645,195,905,
162,354,707,984,587,272,695,872,532,924,752,684,378,610,809,905,848,532,477,
924,502,174,040,436,189,630,456,012,004,968,931,369,405,511,924,047,272,819,
011,987,161,013,695,798,875,837,677,116,254,410,976,002,516,518,912,905,746,
975,377,051,025,240,313,467,110,810,797,521,882,286,355,307,516,508,270,004,
951,831,920,476,262,500,313,297,713,759,643,124,882,961,812,690,642,565,491,
792,678,502,853,785,933,675,400,498,733,390,156,855,516,223,291,864,349,404,
566,115,421,483,750,352,958,900,156,075,254,845,327,168,467,567,385,711,889,
356,111,685,619,431,798,967,089,986,226,024,404,803,603,466,916,830,469,124,
192,101,325,896,325,600,880,149,337,809,616,945,046,050,027,635,259,742,908,
934,641,768,455,777,112,368,488,348,896,094,210,032,915,139,404,982,747,789,
652,205,193,187,959,084,970,515,596,363,214,643,439,471,622,118,535,070,584,
619,180,909,481,799,626,925,385,714,802,741,283,458,493,233,441,332,935,321,
130,768,775,493,031,681,240,869,305,379,680,676,996,321,670,776,070,457,996,
576,465,425,418,588,472,220,785,821,174,938,385,895,339,799,271,441,097,763,
648,461,546,511,378,922,951,373,996,857,725,386,664,036,130,014,285,327,754,
824,584,696,930,453,917,505,563,019,241,952,707,596,079,694,572,235,284,592,
244,201,827,887,831,943,538,496,631,686,325,389,542,785,655,697,758,371,593,
769,778,034,764,419,740,628,706,263,330,467,950,816,394,852,918,058,238,463,
331,941,376,814,018,884,309,433,881,678,033,982,325,065,851,441,460,451,247,
360,582,029,202,021,110,752,555,290,873,034,609,821,231,296,559,330,715,135,
162,625,800,057,108,822,417,401,202,093,324,976,588,426,497,764,249,711,609,
591,923,949,251,103,970,431,838,547,846,498,730,916,610,685,854,492,174,832,
220,160,799,469,441,761,963,732,097,883,035,098,259,753,551,354,642,590,145,
668,836,103,134,735,232,229,323,388,167,921,695,128,318,665,245,638,838,383,
134,924,091,282,914,033,201,796,987,918,818,475,813,844,512,290,388,282,440,
117,991,516,744,272,116,755,294,165,417,078,041,950,575,499,957,155,852,948,
573,043,093,933,889,868,850,034,964,876,474,034,423,309,193,019,506,539,546,
278,352,427,965,370,976,342,562,162,285,799,499,609,308,141,957,497,591,534,
448,063,707,071,821,270,651,418,416,836,121,672,647,969,920,609,010,915,516,
636,320,384,350,559,986,450,340,533,529,762,766,505,827,789,360,178,257,098,
328,464,507,973,741,421,833,480,757,876,541,191,025,960,216,483,504,613,258,
749,333,841,763,186,583,437,097,925,270,506,143,582,324,579,986,491,770,502,
504,229,241,566,373,359,245,822,247,022,038,723,150,154,375,446,253,543,899,
059,184,712,663,573,800,154,503,469,703,811,823,586,310,147,846,801,558,980,
997,663,062,921,917,998,156,946,908,820,976,367,278,663,746,287,989,950,070,
546,806,534,448,835,414,390,619,253,604,009,315,116,259,413,299,013,056,536,
936,772,737,481,196,344,665,635,403,004,049,633,527,761,934,025,460,447,423,
110,950,034,617,995,465,704,886,278,282,207,820,736,677,585,088,377,385,479,
349,209,655,004,882,435,896,355,459,538,927,644,034,839,715,473,766,866,369,
703,646,159,135,226,713,653,391,742,689,993,761,510,810,358,260,987,754,688,
502,848,369,191,063,756,406,249,127,294,385,385,726,977,521,749,494,157,530,
752,890,310,873,020,831,388,203,634,134,175,616,938,381,394,007,836,541,144,
200,111,078,195,842,220,173,001,171,404,903,295,073,680,336,733,644,272,107,
693,032,785,187,395,308,307,213,407,751,624,314,866,041,736,829,095,327,313,
435,031,626,560,711,110,906,575,314,366,065,625,188,626,672,118,144,820,900,
368,237,476,400,163,564,466,280,646,901,491,089,377,751,670,558,147,535,193,
205,294,341,422,209,413,823,214,292,343,832,890,823,851,857,411,436,223,111,
365,580,917,242,447,978,842,844,243,946,050,587,660,019,659,227,663,704,468,
636,670,405,623,412,339,201,451,321,624,232,984,824,279,252,531,881,096,833,
299,278,896,555,659,535,709,278,725,053,653,634,967,090,713,569,475,749,894,
125,850,784,848,064,630,329,568,603,065,995,316,412,619,128,538,662,940,206,
983,702,984,109,144,257,216,180,612,377,418,355,624,258,192,499,988,869,086,
182,246,738,793,368,450,630,121,110,087,134,902,778,825,695,172,144,331,021,
260,131,300,132,458,686,667,511,075,579,364,200,880,541,122,036,891,218,405,
608,653,157,136,442,883,245,420,598,990,365,973,355,047,147,830,010,810,872,
816,628,186,376,481,685,424,944,272,023,811,075,182,932,611,932,682,101,295,
261,043,062,684,209,870,049,912,516,240,103,327,629,570,962,507,720,395,193,
819,330,328,450,774,233,419,912,840,388,795,311,163,591,735,744,860,873,105,
285,385,518,409,284,792,755,199,798,140,842,116,850,578,137,945,459,123,462,
123,546,891,878,212,788,297,576,750,110,216,993,517,843,711,594,067,096,268,
619,350,529,149,190,976,021,307,212,247,223,532,225,040,866,710,471,266,509,
419,989,413,911,242,185,878,248,796,412,572,610,834,654,745,174,936,076,230,
595,996,197,589,652,907,328,244,401,486,357,492,491,258,323,461,826,703,850,
792,209,418,234,031,712,158,651,731,277,848,282,439,966,621,650,032,588,412,
053,299,809,470,492,990,234,402,212,319,284,393,439,340,670,333,394,690,281,
570,487,148,705,720,138,827,834,781,477,433,769,619,489,726,360,438,845,132,
433,807,694,322,927,206,994,289,373,970,499,894,034,786,997,784,207,748,913,
439,371,688,540,560,240,688,394,508,192,188,256,806,520,737,457,058,617,303,
376,035,568,551,278,963,978,173,772,002,317,353,811,458,105,023,646,018,758,
649,410,677,065,034,228,631,874,823,729,784,872,702,491,012,347,140,353,331,
137,598,511,306,486,121,855,572,175,666,318,070,219,596,679,015,955,233,461,
292,317,401,496,524,342,786,180,006,645,736,029,138,449,906,971,752,368,129,
761,414,700,153,848,760,126,407,562,183,419,050,820,523,514,228,387,286,808,
687,278,807,068,008,329,610,845,182,768,386,776,500,801,850,619,383,051,997,
077,680,628,066,307,368,141,505,283,546,882,256,396,350,980,018,048,655,388,
576,076,695,561,982,641,108,383,554,698,420,939,613,709,478,663,928,802,187,
470,857,759,648,436,415,302,457,286,929,533,525,884,913,436,238,977,779,001,
586,407,229,536,513,874,839,205,776,880,917,061,430,899,410,072,895,651,172,
430,397,475,019,655,019,127,379,045,972,748,089,141,212,140,914,900,904,083,
581,546,600,219,026,432,132,373,696,463,502,808,280,075,793,603,111,585,462,
105,031,902,822,672,473,739,849,091,515,065,896,513,481,075,146,660,622,347,
137,598,143,993,888,258,068,203,198,157,397,947,460,769,096,448,208,107,126,
062,945,799,327,063,242,956,916,688,930,225,192,180,024,785,205,059,487,229,
649,686,748,045,067,979,291,184,387,471,834,629,232,474,584,432,187,765,695,
039,458,683,700,313,070,010,459,603,788,277,949,832,883,547,400,336,193,629,
384,212,346,651,067,183,110,515,603,796,622,725,217,161,338,218,373,715,529,
741,963,156,415,059,366,480,319,185,203,507,243,388,587,111,792,754,989,036,
349,441,786,561,567,123,657,585,870,124,300,435,366,822,275,928,119,177,549,
295,688,060,282,277,843,019,625,381,136,911,631,822,311,033,481,748,248,425,
787,213,179,622,048,871,191,711,558,432,428,806,512,188,354,446,380,631,511,
967,339,990,902,134,594,848,902,559,011,472,155,963,123,165,563,806,287,823,
536,059,043,421,315,353,007,166,303,905,878,930,104,035,652,000,825,073,949,
897,872,929,267,803,632,059,770,029,508,351,002,945,669,058,902,861,802,518,
413,691,012,489,248,534,606,193,010,805,911,471,025,913,124,162,467,653,673,
272,145,848,422,786,101,217,326,838,095,644,004,584,792,865,839,913,283,173,
162,216,433,328,671,373,284,292,843,852,688,644,645,098,118,121,872,097,259,
189,439,324,988,130,271,443,036,896,823,649,840,287,661,876,750,319,769,850,
551,582,284,298,632,031,907,161,423,868,236,714,997,446,608,510,466,148,232,
641,018,158,791,818,376,984,613,847,968,981,564,168,680,399,485,193,701,874,
267,367,565,243,370,692,306,591,762,963,135,010,733,942,043,059,239,982,218,
990,484,333,953,263,099,394,646,103,025,478,822,139,478,056,349,681,723,236,
384,582,042,180,576,294,749,967,694,779,591,520,729,813,592,228,440,875,154,
724,387,249,077,808,685,185,131,045,286,505,751,510,771,479,082,738,229,161,
033,297,163,699,239,089,151,689,440,589,395,115,341,148,373,182,780,298,326,
670,210,792,055,138,290,870,632,378,562,799,626,425,963,856,481,633,400,721,
091,437,216,729,038,103,119,313,235,057,206,045,852,554,666,276,455,313,900,
827,446,909,027,083,774,388,543,499,561,705,729,325,543,218,337,835,277,596,
165,633,355,891,778,997,162,935,545,291,194,191,806,277,146,654,569,968,059,
659,686,970,929,363,566,619,035,306,363,454,203,923,401,562,877,592,375,098,
593,368,891,124,079,002,110,614,541,495,279,286,303,882,751,611,876,221,054,
535,225,087,774,676,274,026,992,701,595,254,480,183,781,430,727,244,016,544,
633,631,713,570,064,989,127,744,397,273,782,865,831,709,646,902,143,413,989,
687,065,096,086,118,415,181,399,080,997,298,651,640,165,747,851,422,173,256,
934,366,772,029,495,193,231,167,303,170,769,770,271,695,137,568,392,798,502,
795,672,038,862,349,819,452,423,563,020,610,185,815,172,664,607,848,542,088,
051,762,085,914,490,932,369,249,988,859,226,312,924,652,784,065,862,476,676,
304,748,170,459,799,439,787,106,771,990,366,359,749,342,152,744,027,542,402,
777,695,318,447,541,299,051,490,070,745,883,849,510,342,858,171,015,036,013,
887,647,432,909,169,462,342,773,616,549,881,869,718,453,688,429,583,852,346,
721,456,764,171,884,695,683,820,267,357,368,756,245,139,136,323,253,846,132,
364,290,239,708,279,961,808,799,708,466,471,934,207,750,380,566,806,084,683,
243,167,435,763,025,818,975,925,855,237,144,682,441,040,118,129,825,144,173,
714,161,417,454,496,470,759,530,371,610,937,014,607,986,260,017,921,558,061,
007,109,257,222,607,309,869,732,452,208,674,089,364,066,494,100,674,182,255,
558,192,342,916,285,641,851,966,756,880,738,676,571,535,587,067,431,951,399,
579,050,949,158,475,379,288,349,068,493,260,548,796,406,643,073,824,027,908,
170,864,957,433,632,876,010,683,419,278,441,919,369,006,531,118,477,799,449,
751,937,329,806,584,411,768,784,806,939,994,003,303,060,625,157,307,079,175,
997,141,392,192,707,756,799,137,159,969,028,824,883,691,754,894,396,077,747,
292,659,991,683,754,383,651,379,169,842,851,290,239,233,464,694,163,870,267,
287,801,976,007,532,628,914,503,696,901,284,051,549,727,234,933,943,200,910,
987,622,076,686,094,987,605,344,116,856,938,692,038,442,358,685,083,175,897,
571,749,578,510,155,848,818,933,684,853,647,410,269,417,098,995,768,003,322,
429,235,132,854,371,238,405,156,967,558,564,628,578,197,652,847,878,296,539,
345,681,228,468,252,431,447,709,683,573,517,365,451,032,129,008,423,763,377,
521,379,916,721,228,238,658,300,758,946,367,608,533,543,134,549,952,477,420,
796,324,159,759,658,919,939,739,010,749,828,648,402,077,214,405,778,221,908,
439,341,469,646,544,333,511,464,871,445,452,351,600,675,600,232,512,985,592,
043,629,428,186,089,256,621,857,240,358,058,883,775,618,463,476,384,939,169,
785,586,764,574,307,116,311,228,851,197,083,549,703,310,504,921,896,632,212,
856,182,210,427,210,847,886,587,936,937,622,514,266,720,364,022,259,560,206,
460,423,755,371,505,633,473,989,742,231,037,846,653,123,887,467,759,746,233,
635,977,485,329,714,865,707,413,172,225,936,267,597,680,377,780,504,740,984,
221,107,068,378,753,450,664,131,370,983,330,786,343,093,286,059,703,179,199,
513,513,854,939,974,927,091,854,397,765,734,695,539,030,410,834,134,109,055,
914,503,908,562,480,426,008,270,247,134,801,660,126,963,601,682,690,430,132,
928,219,119,234,864,845,366,072,078,858,759,699,889,252,056,523,674,851,648,
033,211,345,634,669,933,578,161,388,691,295,171,068,435,485,640,651,270,023,
384,835,633,319,206,352,115,098,511,895,554,896,486,616,974,166,127,697,504,
466,684,948,195,189,742,879,812,841,255,321,770,869,365,592,135,035,877,838,
458,110,534,073,535,668,035,194,166,951,636,683,997,059,201,987,699,003,577,
611,828,333,240,777,480,178,959,402,540,178,829,736,877,066,263,365,454,094,
640,030,810,350,126,675,698,211,541,727,993,476,280,538,324,377,338,309,935,
314,959,946,172,944,603,912,024,696,845,057,509,388,350,184,180,626,963,285,
816,087,769,143,273,267,678,158,066,030,288,739,737,188,949,764,425,851,689,
242,515,895,441,542,523,691,474,190,579,416,401,748,696,691,598,094,282,175,
265,519,967,209,359,176,828,075,899,384,619,760,942,540,698,484,472,638,092,
436,454,946,379,937,771,794,731,983,703,727,999,309,283,189,557,319,869,192,
230,072,729,114,406,166,629,498,460,962,702,508,579,998,821,343,676,509,835,
006,455,425,429,672,342,939,340,766,056,801,473,857,820,388,892,537,938,498,
436,646,012,757,999,208,115,196,988,022,171,754,689,364,056,475,430,194,992,
355,518,894,593,485,986,885,319,846,453,677,170,062,553,182,986,666,098,160,
294,759,476,467,267,471,972,229,870,912,270,564,938,987,119,895,017,102,765,
308,343,888,127,415,213,565,097,391,372,607,040,655,585,627,167,522,126,666,
809,255,574,761,750,311,629,303,007,794,806,399,524,391,757,990,413,507,667,
958,728,532,888,989,043,167,681,830,062,093,903,769,225,129,670,377,383,204,
768,765,489,322,852,548,518,687,222,674,586,256,975,402,748,531,411,406,187,
068,065,670,116,079,206,990,798,514,029,598,543,862,554,979,472,065,074,806,
692,075,315,264,980,728,454,973,498,326,121,410,991,732,544,621,837,410,288,
651,961,095,429,783,045,980,627,658,656,560,903,038,181,671,290,511,062,317,
325,077,293,570,567,850,488,524,987,972,531,832,526,398,207,355,062,692,270,
483,869,336,712,836,498,996,295,683,961,223,618,761,068,371,986,414,491,870,
088,725,087,747,361,255,207,276,424,912,354,541,226,329,438,220,695,016,900,
576,241,875,805,561,290,748,129,614,121,070,745,555,956,612,905,709,529,821,
231,437,011,679,937,540,002,500,487,051,048,433,487,960,246,668,029,041,626,
166,554,876,281,478,560,084,021,866,665,869,689,184,356,920,528,417,665,911,
284,268,845,692,175,543,937,958,602,658,919,900,098,686,997,673,362,581,274,
396,482,728,141,002,231,822,990,385,383,242,281,947,109,285,403,348,930,002,
059,719,574,197,213,640,057,359,490,121,209,975,443,342,981,708,534,002,300,
855,176,664,699,022,282,045,217,881,798,232,818,301,219,484,175,611,543,194,
230,206,508,027,774,487,997,800,212,720,644,186,222,405,650,308,369,538,245,
598,444,020,211,979,572,660,938,124,485,001,047,407,325,517,169,065,297,869,
160,415,619,023,567,426,281,789,335,959,226,408,957,229,061,407,989,619,088,
993,523,465,254,854,340,225,913,345,906,419,616,289,772,278,445,174,340,129,
398,280,502,272,936,026,613,773,001,532,397,493,884,500,118,282,658,253,160,
432,780,243,464,490,522,990,829,536,223,896,872,234,209,596,100,610,295,474,
240,837,721,505,949,599,668,485,175,286,413,767,151,821,975,498,837,123,987,
851,986,215,683,590,981,561,194,797,000,649,405,713,202,293,595,218,701,488,
392,809,642,733,780,981,654,555,167,657,097,640,799,524,249,982,356,918,206,
198,612,177,614,162,508,111,481,617,607,026,378,712,961,301,687,090,800,728,
116,685,164,047,218,760,831,645,184,895,769,168,522,243,043,048,247,810,662,
927,190,571,795,906,105,682,304,520,796,591,931,905,624,907,482,810,662,984,
048,708,993,480,521,022,639,668,733,444,403,577,449,543,954,637,586,195,364,
249,729,392,213,583,038,050,147,454,263,956,756,579,404,536,894,998,683,770,
763,449,334,111,587,151,935,116,101,927,082,379,526,156,992,568,203,647,583,
109,146,313,129,042,422,259,841,898,982,733,573,025,712,039,702,480,747,513,
819,375,605,869,552,035,580,189,316,813,442,025,275,580,444,418,220,953,983,
925,878,355,033,191,227,323,395,362,267,650,656,747,174,375,845,504,909,827,
576,147,512,408,025,739,976,095,397,516,008,941,903,213,103,837,236,899,348,
375,749,523,336,089,616,583,647,308,602,579,153,353,714,316,013,788,919,353,
189,946,449,706,226,900,411,991,687,259,412,212,879,762,344,845,274,536,067,
134,621,332,701,675,589,052,759,406,600,365,289,536,244,259,920,788,992,427,
915,312,245,797,718,028,091,677,887,240,060,908,570,982,601,148,276,962,633,
824,471,668,488,826,645,216,609,232,275,276,424,694,262,913,831,597,313,089,
292,366,238,499,630,610,379,838,056,813,615,933,491,626,991,409,361,728,465,
083,178,374,644,512,116,885,447,155,068,950,438,546,788,327,729,810,883,147,
125,905,592,440,258,879,927,636,942,516,989,649,864,387,995,658,363,178,778,
091,779,079,370,195,334,648,896,223,392,543,928,946,168,122,188,061,282,724,
958,091,655,908,902,685,890,231,432,208,479,917,455,783,102,191,429,522,909,
842,050,428,821,216,795,935,590,104,455,828,497,008,207,634,298,458,175,934,
197,295,861,230,974,742,880,352,096,663,442,667,796,352,817,591,932,480,744,
302,144,825,196,087,952,945,613,751,964,275,165,485,893,671,453,214,609,970,
742,589,787,470,298,490,128,652,150,057,479,056,647,890,494,488,114,107,633,
655,811,653,195,889,282,596,812,486,796,187,740,799,890,940,975,329,063,760,
049,527,238,071,600,622,362,015,451,273,425,853,178,820,099,570,286,859,626,
103,156,473,700,520,860,540,474,587,785,840,371,264,768,903,912,438,527,517,
086,085,740,534,946,853,741,861,655,585,177,331,813,648,190,948,699,021,331,
284,957,843,335,447,105,404,242,559,032,067,010,732,358,843,152,144,054,767,
759,501,240,392,145,156,014,637,284,672,055,020,841,089,370,847,291,552,044,
919,177,501,875,257,035,803,582,039,529,633,863,698,607,419,936,449,737,391,
607,196,349,421,821,885,929,359,311,849,678,437,182,290,834,833,369,989,193,
675,062,000,207,945,715,521,710,430,460,484,620,537,884,483,375,850,258,135,
941,739,822,815,291,731,364,176,285,044,038,172,755,116,422,545,948,648,270,
096,602,997,446,286,597,072,707,767,342,466,811,387,368,239,430,404,082,805,
889,137,453,718,157,051,578,154,261,338,437,075,569,996,057,566,961,957,032,
630,263,514,025,681,674,807,467,059,215,587,719,584,628,606,572,025,134,135,
470,103,431,636,728,597,936,795,025,052,812,313,663,911,328,326,554,212,969,
382,097,757,651,470,863,761,795,779,206,109,449,058,944,305,589,983,002,722,
749,829,518,757,964,328,301,064,022,388,132,067,196,280,275,263,765,965,866,
059,738,512,006,413,088,528,973,800,313,859,071,158,000,936,820,571,340,570,
147,167,113,527,224,611,833,527,181,052,786,444,270,700,677,536,864,354,209,
499,329,985,096,942,917,567,110,614,138,045,884,579,788,386,341,131,822,397,
412,245,302,188,826,475,723,652,831,698,262,829,155,545,295,789,145,032,684,
000,856,017,652,753,941,152,136,536,256,822,532,113,393,335,980,655,848,396,
645,450,943,271,523,137,077,862,013,254,141,924,551,003,600,934,301,063,509,
262,928,208,448,454,705,082,244,098,225,641,297,190,917,024,637,311,250,755,
262,616,131,305,076,164,777,414,969,472,358,707,430,308,221,982,094,487,488,
105,587,051,099,750,404,211,142,004,218,839,410,998,175,193,476,220,680,583,
526,266,636,244,275,660,720,945,987,493,256,687,908,168,544,119,929,340,357,
390,317,576,044,413,616,170,490,577,837,575,408,860,016,013,694,511,674,830,
898,981,462,228,938,342,094,919,405,121,470,142,323,057,024,023,012,168,362,
713,656,265,006,886,781,393,974,185,325,943,150,834,472,510,015,316,072,812,
265,980,545,454,966,150,152,312,562,635,438,476,814,439,931,765,934,139,738,
457,113,228,285,122,226,234,425,375,938,117,185,129,169,062,222,990,025,870,
735,487,451,066,329,392,909,004,263,912,062,672,730,235,141,749,417,800,586,
410,361,903,506,171,979,393,686,375,361,920,621,695,722,019,235,769,132,156,
234,859,318,181,470,133,843,120,967,018,756,010,490,717,127,385,364,492,071,
024,435,712,127,028,378,017,656,508,210,716,901,283,942,033,542,416,191,060,
343,957,471,702,975,986,860,698,344,065,173,233,373,507,031,803,256,323,534,
748,177,233,463,300,769,448,447,633,694,952,054,829,736,902,791,668,773,452,
295,262,705,931,316,732,484,015,980,220,378,427,356,327,444,308,537,670,013,
956,697,812,512,783,944,242,833,427,582,937,218,283,609,383,822,833,045,194,
118,982,743,720,602,558,373,821,786,322,025,414,788,845,387,642,700,071,420,
751,675,888,004,387,898,431,619,302,025,320,715,457,984,557,825,750,062,030,
277,514,051,584,196,448,493,122,811,593,941,777,857,108,782,118,189,523,333,
311,385,803,426,673,739,273,357,282,760,382,796,113,961,417,787,589,631,133,
302,475,305,650,654,798,471,926,018,589,068,552,697,174,139,441,542,950,865,
043,630,784,134,107,203,943,577,807,887,445,153,498,009,126,499,604,995,996,
062,291,777,719,538,664,850,766,896,511,774,729,383,572,533,625,610,618,057,
028,239,321,691,794,667,135,156,645,728,060,721,537,877,603,765,440,198,899,
867,331,915,746,815,623,704,835,001,484,930,245,116,765,209,110,093,496,038,
882,554,367,380,251,262,717,996,883,035,386,013,228,273,045,646,336,267,047,
850,004,333,515,424,270,854,798,906,567,908,697,508,369,661,364,915,671,589,
407,510,715,526,381,693,826,188,623,521,818,206,808,831,911,192,310,797,629,
774,836,763,301,707,634,459,127,986,912,494,175,215,111,500,181,986,142,673,
346,312,958,047,589,220,275,980,863,111,136,971,429,682,467,498,637,843,569,
049,149,727,112,357,962,284,543,941,816,918,995,323,692,684,854,843,105,229,
114,996,017,895,000,460,886,570,493,043,331,878,357,187,457,260,718,647,905,
554,444,254,375,104,189,814,444,585,806,765,812,489,013,167,055,133,421,533,
420,181,275,281,026,997,689,301,529,005,951,536,538,347,814,302,802,868,768,
061,670,317,099,384,691,578,645,912,081,527,946,209,741,824,043,217,333,570,
759,877,655,447,309,793,521,483,162,755,751,693,027,125,148,012,604,682,619,
075,569,124,066,505,204,987,835,734,921,080,749,248,585,107,945,524,057,378,
320,023,183,143,095,867,420,672,932,603,145,687,652,426,896,390,872,359,524,
669,962,286,371,720,634,544,154,106,479,614,855,942,664,902,945,518,671,751,
113,546,847,983,844,979,171,498,529,186,198,064,027,823,385,754,337,814,970,
238,670,009,893,185,751,573,414,423,750,938,502,550,144,678,764,436,385,578,
737,065,207,216,114,017,772,605,132,692,421,124,762,385,931,442,698,153,309,
746,428,342,249,182,030,682,714,363,396,396,408,358,669,612,630,675,186,522,
334,643,569,400,756,890,519,985,809,875,878,983,040,980,979,159,764,125,103,
625,870,252,094,107,880,975,619,181,654,096,020,232,372,219,996,994,604,471,
278,071,055,473,273,874,676,611,849,120,658,587,247,209,182,053,608,627,272,
208,510,381,008,540,112,718,155,908,401,750,027,633,778,724,750,691,270,556,
189,402,649,087,588,162,841,876,528,567,478,659,182,877,019,858,333,229,778,
152,160,331,738,862,556,949,063,374,151,729,575,700,587,588,789,688,438,307,
569,879,711,833,123,056,780,683,838,064,228,871,325,338,520,240,767,312,989,
253,234,950,694,484,735,487,310,657,255,019,199,899,414,916,944,528,423,553,
143,818,697,825,465,290,838,123,016,595,912,016,401,415,040,356,084,314,823,
710,254,780,444,091,161,240,977,382,906,415,194,140,350,925,841,649,783,846,
769,555,098,062,253,417,799,751,506,551,716,131,998,582,686,605,826,608,054,
350,953,796,342,704,063,737,399,350,871,349,072,644,305,083,015,285,861,544,
549,859,691,231,817,773,562,940,369,573,806,309,097,967,827,919,816,078,811,
836,976,399,627,390,225,032,433,696,677,185,845,450,029,746,640,477,997,512,
481,506,910,933,997,031,819,601,072,184,725,792,650,885,281,108,012,077,712,
158,300,717,889,483,676,945,018,491,530,405,712,326,474,308,560,204,198,448,
710,393,400,031,778,750,481,879,947,796,495,927,263,274,601,590,386,896,484,
151,545,807,855,429,444,073,363,216,727,082,541,864,886,872,493,211,335,098,
003,489,508,582,994,167,545,417,421,081,005,313,781,931,718,099,718,135,113,
236,113,727,987,369,094,611,535,281,938,912,023,522,237,427,594,500,346,722,
873,527,922,292,859,091,603,895,342,928,051,649,517,104,675,953,140,171,635,
886,244,598,874,544,734,186,402,795,251,386,177,719,087,660,989,161,640,695,
064,018,088,353,147,564,552,208,810,633,261,468,560,147,365,027,009,389,922,
605,749,840,811,109,122,674,532,959,845,406,016,941,873,314,281,605,815,930,
491,992,887,143,946,876,093,320,531,065,769,982,034,667,937,908,570,507,295,
500,735,098,623,936,288,527,728,537,807,678,133,196,377,687,020,922,142,113,
929,532,199,678,514,276,247,178,538,825,949,723,062,301,838,531,738,577,604,
343,063,814,708,430,869,892,180,247,161,123,851,373,184,817,855,698,148,304,
970,479,842,862,645,957,256,270,962,399,424,824,590,105,607,245,878,338,028,
243,716,484,264,162,440,416,690,993,070,370,965,278,501,870,544,575,035,781,
603,071,772,510,287,191,532,268,569,935,764,994,328,416,496,885,714,984,717,
228,026,608,456,517,765,740,155,282,152,066,227,805,923,557,351,236,164,928,
472,695,035,650,505,013,920,093,955,177,695,680,240,309,794,588,109,789,249,
246,529,958,959,524,490,863,148,846,688,371,846,444,364,038,394,188,955,557,
355,688,662,778,674,855,625,890,793,826,395,225,279,082,365,734,183,774,732,
048,714,064,650,840,621,686,968,982,625,012,605,702,950,281,449,032,222,189,
705,689,907,456,177,085,979,833,192,297,637,167,034,407,236,406,676,662,291,
298,726,160,290,339,744,472,319,799,422,928,956,310,002,416,272,971,136,654,
665,596,806,987,624,443,969,775,374,129,232,223,791,983,848,620,139,469,598,
985,642,316,850,279,878,322,846,405,290,062,180,161,842,815,276,207,647,212,
491,328,253,819,122,146,516,538,339,220,421,447,101,945,437,615,366,660,505,
708,797,557,391,219,124,508,828,665,057,216,083,976,313,186,226,557,707,091,
093,852,930,331,128,091,370,560,083,671,338,107,102,073,158,313,418,753,705,
086,862,458,223,708,830,656,407,009,019,517,564,350,186,707,559,569,625,883,
209,250,578,504,112,919,812,217,197,581,791,729,531,850,236,263,244,360,679,
465,840,016,389,062,248,493,009,192,637,855,196,317,522,878,646,090,105,103,
070,093,831,547,817,124,716,794,744,433,795,757,560,887,160,229,191,222,580,
501,045,432,967,580,385,218,091,017,072,910,665,703,638,789,182,373,485,521,
653,509,965,606,229,536,768,910,978,972,723,647,710,141,678,535,275,572,832,
417,445,038,149,476,596,398,517,780,103,349,805,458,701,226,753,037,273,273,
147,331,199,004,475,768,900,056,059,282,757,676,328,725,274,838,796,757,475,
554,309,278,641,276,799,574,810,061,425,835,340,214,958,226,653,693,778,441,
368,657,588,779,297,356,754,942,757,997,790,034,739,695,516,667,124,511,103,
170,549,102,337,770,466,506,519,966,852,033,493,399,132,122,374,267,750,028,
314,015,687,726,609,658,289,917,819,111,733,138,229,840,835,226,502,124,061,
884,480,146,651,436,664,784,298,302,502,984,998,613,414,052,629,204,793,891,
786,775,506,956,445,330,675,358,810,193,473,969,590,429,431,242,100,132,685,
321,499,068,174,148,961,352,664,791,048,484,787,831,487,308,008,299,996,630,
519,845,048,740,436,788,840,283,313,966,238,382,739,516,960,410,254,334,110,
427,210,963,272,112,355,516,493,210,038,893,379,152,459,650,906,960,663,601,
929,825,770,984,100,927,767,571,360,675,962,085,853,863,206,032,745,256,850,
671,483,978,319,181,158,698,368,520,117,472,695,235,559,122,589,383,583,441,
482,794,249,568,160,216,598,497,019,810,663,614,785,873,691,239,710,387,533,
518,377,511,230,571,838,561,377,179,133,799,286,425,234,825,988,255,056,562,
088,139,681,255,428,624,412,753,601,788,988,771,713,410,553,460,764,014,421,
842,314,607,032,120,983,199,703,524,614,282,696,929,826,490,766,858,332,618,
990,075,650,502,814,156,242,585,767,130,757,692,841,529,905,051,074,954,862,
945,309,409,475,854,557,570,918,695,383,435,287,730,275,253,802,502,044,210,
585,056,275,182,552,567,507,982,660,497,202,348,487,879,699,168,307,731,507,
354,524,414,081,184,190,242,502,176,324,109,099,496,090,000,715,950,969,429,
317,968,484,781,937,840,833,755,785,169,726,518,776,698,913,541,305,675,217,
954,203,265,832,723,359,004,990,291,156,587,409,291,250,189,793,713,956,446,
753,385,164,727,732,575,745,066,730,215,394,046,897,656,804,717,436,635,490,
309,236,792,647,516,929,251,609,937,646,326,513,748,908,481,811,138,320,067,
551,632,167,703,386,848,281,126,110,496,846,629,047,346,867,508,782,268,787,
420,524,386,108,093,748,412,653,363,219,153,934,674,384,211,269,263,706,746,
146,190,902,372,000,258,536,395,613,392,193,306,345,010,272,802,063,940,439,
951,796,201,635,181,384,428,248,006,661,066,976,250,027,317,864,372,048,693,
840,424,757,400,352,914,428,701,838,969,893,088,754,639,432,571,279,681,429,
041,883,386,291,738,617,978,533,429,792,924,583,576,547,347,040,339,023,381,
857,688,733,757,498,072,369,788,098,518,246,702,620,447,529,975,564,151,966,
054,204,197,581,821,414,182,203,824,294,496,679,070,561,890,473,605,985,359,
243,114,650,340,334,996,267,800,858,641,547,332,270,798,864,178,889,325,273,
362,188,757,518,110,586,998,606,576,727,703,263,314,006,555,332,547,360,360,
538,799,268,202,315,545,096,943,215,485,104,253,729,083,753,030,922,281,428,
874,387,946,381,940,081,765,455,113,480,929,369,486,475,191,139,583,339,517,
321,057,450,113,194,257,606,210,770,860,248,337,809,450,885,980,977,116,121,
973,908,666,162,927,848,627,240,984,026,662,495,842,372,789,065,396,488,733,
598,970,170,396,631,770,892,567,530,911,358,915,668,920,327,919,541,490,541,
445,004,569,591,343,671,220,038,971,802,818,840,979,184,018,957,349,537,169,
931,022,468,374,590,901,880,713,397,522,900,630,712,812,628,901,730,450,794,
590,877,096,061,431,767,604,058,242,450,247,488,905,699,891,225,209,629,410,
123,669,204,663,616,479,746,097,561,926,287,210,636,285,835,215,357,043,062,
492,739,507,142,032,787,161,975,757,971,870,660,113,421,701,984,192,399,367,
484,531,780,737,072,301,928,388,875,535,959,885,156,383,200,616,666,143,447,
962,011,688,621,082,356,248,009,158,970,265,400,496,490,807,410,710,818,790,
712,916,156,334,200,397,602,758,040,755,255,068,026,495,511,347,707,194,746,
287,874,831,383,582,201,017,688,236,132,168,342,675,438,807,684,916,703,530,
809,751,171,205,822,593,017,439,908,248,956,048,285,810,319,538,458,314,211,
991,238,449,697,606,221,711,628,606,064,534,939,255,724,489,935,811,485,054,
028,519,190,753,505,321,564,329,016,799,684,566,302,163,406,044,021,686,465,
599,253,414,493,962,581,725,107,092,934,894,453,901,494,578,140,467,742,580,
925,493,046,670,978,086,091,055,643,878,431,406,562,936,602,235,239,660,254,
379,054,008,420,210,330,734,347,787,665,701,585,915,613,921,626,555,631,842,
035,562,131,309,226,658,503,122,058,122,710,963,722,976,959,499,040,411,955,
666,208,024,990,243,778,883,255,780,112,981,238,073,205,597,815,678,179,950,
171,157,244,306,881,497,473,601,598,672,362,324,823,679,609,913,499,293,234,
143,357,717,023,396,103,148,052,902,125,549,588,737,867,533,348,085,217,405,
230,557,309,698,047,881,247,892,205,981,338,752,588,502,662,404,903,270,879,
487,413,997,992,582,435,691,532,788,396,404,151,258,447,404,006,831,108,332,
931,643,409,407,269,336,374,637,318,174,217,201,506,107,888,519,642,142,101,
642,886,814,648,707,165,996,682,005,253,176,452,886,796,713,387,389,745,555,
028,261,168,946,937,832,208,366,875,381,700,204,491,112,831,360,338,245,348,
233,069,731,518,965,192,101,349,985,702,043,921,010,591,406,846,496,972,803,
480,401,220,385,960,461,483,319,873,002,188,517,933,304,577,732,598,060,639,
201,779,889,375,070,123,398,126,917,735,637,235,718,123,279,458,007,837,328,
929,403,937,699,699,383,392,196,352,465,279,756,400,366,660,614,130,932,420,
564,326,447,476,243,072,116,571,496,718,293,371,610,954,495,523,091,183,843,
648,979,489,668,455,773,370,890,016,163,138,784,098,621,371,730,996,568,121,
162,536,757,782,598,403,855,343,242,966,403,682,451,782,299,137,105,746,059,
170,636,120,057,571,980,305,099,374,142,514,981,631,809,580,133,669,110,090,
942,297,531,497,831,265,567,216,219,210,712,450,931,833,101,165,816,047,382,
452,097,600,132,005,053,487,001,680,047,427,338,122,237,864,102,859,749,921,
980,234,125,959,300,020,586,690,347,165,309,070,877,049,649,935,496,681,063,
615,000,482,618,202,385,645,680,016,248,447,768,353,564,170,095,498,494,556,
594,203,656,374,517,789,356,578,697,615,955,696,477,816,982,227,780,506,738,
212,022,917,330,884,879,619,629,230,985,427,393,244,509,669,299,732,390,714,
258,131,127,173,754,679,355,079,283,739,624,020,732,859,746,220,631,814,234,
495,264,537,222,406,226,696,111,054,917,372,099,036,439,727,625,998,425,349,
021,829,923,210,942,070,700,648,695,235,259,042,908,485,865,304,385,171,369,
316,842,588,771,802,371,611,470,082,095,938,334,468,122,607,892,174,102,047,
647,958,102,534,525,560,209,294,079,247,891,467,946,579,940,645,137,487,370,
165,349,165,826,393,572,844,461,933,535,441,510,322,285,884,846,398,504,332,
195,556,802,061,324,051,024,737,887,305,433,723,707,656,358,859,509,016,073,
235,706,322,258,028,603,407,203,147,482,871,413,905,559,884,626,904,044,087,
233,300,245,117,803,893,107,917,299,286,619,522,991,586,585,504,119,910,860,
714,843,642,190,069,091,319,226,126,370,357,091,122,506,978,600,342,052,705,
546,889,883,044,277,731,438,412,915,639,778,131,268,127,573,754,243,526,904,
355,090,339,607,655,352,880,366,169,845,708,195,667,800,570,898,018,569,359,
074,586,835,754,865,523,067,320,833,799,922,629,099,213,626,331,225,779,488,
914,277,601,647,053,249,593,248,101,785,588,633,740,319,288,786,530,335,264,
923,715,989,651,612,812,376,366,728,405,410,951,584,522,701,842,636,198,034,
207,041,469,863,235,434,360,124,953,409,125,755,745,479,615,775,862,424,052,
809,238,767,885,988,176,934,682,709,709,998,863,979,463,074,099,528,371,863,
062,753,391,851,449,244,002,682,226,024,052,015,010,105,089,342,439,136,931,
949,746,229,403,660,338,608,497,569,471,936,014,406,644,504,304,059,039,264,
830,354,998,423,980,882,915,068,199,559,485,179,908,736,468,209,377,077,292,
620,738,030,085,740,255,475,733,050,541,094,132,214,647,680,209,752,888,894,
862,571,556,328,239,987,143,530,082,829,046,748,733,314,691,135,220,206,207,
888,087,477,815,245,532,765,129,809,789,998,716,112,801,887,422,781,565,850,
474,315,100,236,165,442,508,670,458,308,487,214,869,448,589,223,957,789,077,
141,128,172,204,646,450,624,820,715,454,434,327,901,146,994,962,581,365,654,
955,490,715,661,740,743,062,608,788,182,167,323,673,372,018,261,287,744,696,
988,288,790,423,225,222,284,597,054,465,322,129,519,315,004,122,262,529,610,
281,186,834,885,362,124,935,192,377,503,294,221,211,111,984,514,671,467,727,
847,246,933,140,602,553,730,143,221,101,135,785,092,143,164,073,001,154,792,
702,356,480,406,893,790,866,463,534,892,364,483,628,709,012,230,460,214,072,
621,213,985,890,609,142,607,125,746,191,774,990,763,487,454,986,859,853,730,
687,430,804,255,549,523,137,539,116,083,309,693,835,422,895,159,669,309,899,
752,228,578,425,838,268,798,047,651,960,218,125,645,609,825,804,658,246,056,
705,491,464,939,201,310,370,529,295,575,055,700,971,037,961,251,105,638,177,
011,371,940,395,542,048,155,608,984,074,513,270,420,530,862,452,271,114,058,
345,084,686,113,236,428,682,523,345,281,778,675,350,349,933,674,212,640,270,
381,771,317,546,193,499,329,318,455,402,772,973,821,788,538,443,289,418,379,
355,007,576,117,841,102,629,366,496,549,883,354,108,075,566,824,431,360,076,
322,945,816,895,093,783,739,545,505,163,193,741,219,574,006,734,735,175,976,
349,517,088,283,243,964,783,248,545,964,319,511,547,940,129,578,092,621,787,
006,984,684,857,999,350,307,796,054,413,925,660,925,473,673,117,012,703,544,
580,870,389,483,920,698,361,276,427,528,623,377,213,972,340,986,282,293,172,
396,763,747,776,676,493,414,421,961,185,140,444,139,287,819,325,046,589,727,
816,786,029,518,171,046,656,868,924,095,008,982,950,395,004,941,436,430,863,
444,825,735,099,294,196,397,252,497,339,402,623,820,667,804,602,349,434,727,
888,042,775,521,346,363,187,938,765,141,149,940,705,121,596,842,529,159,450,
080,321,054,612,882,591,166,539,296,641,889,178,191,759,849,374,675,454,088,
557,098,332,788,682,948,115,429,175,366,151,708,324,569,280,311,467,358,204,
660,090,468,527,677,348,497,993,193,596,244,157,703,030,549,876,611,264,078,
891,719,246,880,683,410,734,075,745,359,851,105,454,502,138,653,602,765,878,
181,097,926,612,352,783,792,352,428,677,203,763,087,829,723,844,696,116,640,
095,731,319,374,181,351,040,266,515,395,235,927,094,019,539,888,638,795,992,
918,572,097,030,306,700,647,875,704,842,352,161,313,352,451,633,004,553,053,
422,471,864,293,877,156,603,960,053,983,726,003,040,846,404,197,405,557,322,
489,259,647,529,227,126,528,403,245,279,834,210,384,004,410,411,761,564,666,
525,154,459,825,273,251,373,863,356,239,422,973,331,938,008,172,855,245,305,
369,817,522,803,496,392,164,013,885,489,463,346,941,835,718,823,589,293,099,
334,288,406,218,384,266,091,616,154,334,980,733,655,623,425,173,983,492,400,
285,904,122,343,749,816,101,862,559,403,979,512,352,324,746,017,588,055,522,
333,808,670,227,396,146,574,844,078,519,302,554,773,147,558,191,174,048,659,
007,462,796,450,183,558,752,006,394,332,341,720,806,746,717,638,020,142,553,
029,728,550,430,855,338,825,106,644,370,710,822,113,421,764,481,039,083,557,
052,667,387,204,247,472,357,675,487,287,883,173,943,076,509,976,917,494,875,
844,330,176,535,881,609,641,468,834,714,119,774,158,902,932,273,019,315,126,
764,870,427,027,001,205,005,373,881,165,347,034,467,583,471,622,891,807,216,
006,810,774,427,613,939,055,024,720,531,862,665,042,688,788,414,731,400,110,
113,721,581,440,328,037,924,501,826,978,139,262,732,752,001,794,337,422,476,
697,269,090,658,656,773,858,178,434,779,608,834,809,522,188,873,746,388,098,
488,741,164,270,286,260,152,350,410,254,609,305,921,186,673,035,773,589,564,
536,349,254,549,829,423,833,816,675,530,975,975,523,639,659,807,390,223,841,
511,262,350,189,358,334,900,255,861,418,665,056,099,858,758,202,183,116,517,
539,960,244,739,561,361,988,950,364,920,876,758,861,318,772,928,114,471,086,
053,482,079,076,324,651,912,083,975,794,635,686,230,344,490,305,417,874,135,
621,373,603,319,806,942,880,707,157,587,017,437,797,646,184,030,579,140,000,
524,261,643,193,189,630,062,442,311,721,114,013,785,180,712,686,037,576,712,
627,333,692,756,715,585,826,737,990,525,272,533,556,750,947,911,594,413,962,
906,521,416,642,157,701,138,972,258,638,748,040,058,390,773,221,305,383,355,
075,199,998,728,228,701,933,720,844,054,667,928,829,412,524,343,580,371,497,
004,443,902,650,740,801,424,480,778,723,712,138,205,306,195,827,718,050,306,
301,671,221,511,649,301,510,988,172,436,999,620,973,694,852,225,018,265,459,
792,734,860,814,477,423,384,924,334,227,869,878,617,627,966,292,797,343,783,
795,709,419,286,058,119,087,839,938,136,532,606,671,474,747,432,015,012,594,
695,176,029,468,983,711,873,953,504,805,624,612,698,052,379,324,712,606,763,
810,349,662,720,491,255,707,961,654,556,330,563,647,354,624,287,292,925,465,
353,987,645,230,404,724,235,405,156,837,086,400,436,142,588,142,416,664,271,
084,184,034,275,220,759,689,015,370,362,980,881,573,271,756,029,009,506,647,
478,098,465,071,825,280,641,790,994,482,159,457,619,516,201,732,606,813,593,
535,544,878,498,121,074,057,226,622,236,304,164,673,163,260,059,649,086,736,
039,239,181,267,393,839,975,614,104,936,452,736,942,062,196,774,818,778,856,
629,890,810,798,278,968,798,709,443,821,764,315,325,491,060,103,176,325,874,
756,319,327,551,245,813,760,740,892,925,712,512,081,916,998,940,831,725,922,
619,048,479,017,649,982,932,779,102,291,310,768,336,278,033,491,222,451,038,
808,597,896,294,482,562,737,749,357,379,971,941,006,232,871,649,682,791,992,
921,010,939,703,901,613,234,507,914,317,086,923,294,383,090,935,985,442,468,
551,017,563,189,884,693,298,301,402,413,665,261,033,289,691,948,149,324,324,
991,779,607,798,715,790,420,110,642,343,136,766,549,162,499,906,616,415,649,
531,745,897,719,901,200,542,527,171,582,589,783,038,464,494,257,941,657,842,
266,347,928,606,648,690,656,630,419,676,921,075,705,656,459,042,501,609,394,
385,054,337,076,339,249,506,656,490,854,632,674,767,676,582,836,424,720,012,
450,077,803,787,251,098,502,481,890,085,383,601,497,555,607,912,512,079,982,
230,850,273,132,970,240,567,364,711,661,448,394,914,947,055,628,244,907,933,
711,330,260,435,465,238,656,146,887,798,917,760,323,918,469,047,238,338,754,
919,793,569,898,816,083,937,096,375,803,111,309,131,352,217,163,396,499,587,
852,577,623,694,082,118,203,023,430,454,579,829,508,944,072,843,082,833,394,
781,955,352,661,207,427,794,067,493,424,328,662,179,575,646,731,954,967,725,
800,380,531,852,948,029,479,829,844,099,544,404,328,955,691,158,193,019,252,
160,346,607,856,899,004,040,865,351,467,481,258,246,882,285,068,288,565,984,
218,151,514,302,725,174,059,268,610,166,339,062,555,844,592,295,638,076,106,
266,325,878,941,674,318,271,185,638,542,008,289,439,561,115,601,578,634,628,
365,134,197,644,324,040,629,359,594,875,942,344,062,157,563,717,794,525,086,
613,325,654,187,236,241,536,980,635,613,858,181,109,302,922,326,207,486,735,
752,630,806,183,947,571,782,522,769,620,390,012,885,815,418,715,598,015,855,
234,611,453,531,240,678,159,681,561,430,161,776,299,024,478,232,904,191,247,
165,081,217,501,200,195,714,908,513,798,210,432,340,713,648,921,616,467,934,
632,273,383,311,399,116,248,063,725,183,703,895,557,835,746,065,251,875,052,
559,778,933,903,258,292,305,265,021,739,934,439,368,616,932,833,924,383,635,
442,443,602,164,166,261,895,744,274,249,127,323,500,046,655,760,213,862,239,
467,149,459,313,330,395,957,208,955,238,884,713,478,137,598,123,997,205,187,
971,694,819,798,096,021,904,369,610,288,730,893,273,631,149,908,833,771,135,
414,163,823,259,951,772,172,834,048,378,844,673,861,961,365,511,149,692,842,
455,278,992,327,147,430,165,729,172,518,041,292,216,420,079,074,887,823,419,
906,756,749,511,970,914,681,981,242,451,665,923,217,237,243,196,206,614,105,
651,373,706,895,611,846,028,444,530,071,502,886,826,548,358,967,222,834,001,
869,372,011,289,453,240,202,971,504,918,769,903,603,802,935,633,254,042,339,
581,852,350,415,068,254,813,265,576,038,519,325,049,204,790,140,050,784,237,
311,643,638,567,324,673,829,413,644,205,892,967,956,675,330,683,814,706,014,
355,764,946,054,854,622,954,374,304,683,482,130,705,152,222,064,650,499,729,
057,541,490,132,500,251,469,076,781,146,128,773,059,057,401,919,974,132,788,
390,154,006,842,930,472,875,719,731,523,629,874,819,555,951,269,577,810,297,
281,380,271,947,286,620,006,685,962,550,822,070,773,359,371,671,200,672,939,
386,440,147,603,590,701,640,492,707,867,814,290,215,471,380,420,688,811,005,
109,242,576,070,111,174,268,171,448,987,777,772,287,166,880,409,982,215,151,
629,496,834,889,114,120,127,382,875,141,330,644,096,105,089,343,405,583,204,
412,456,748,699,968,635,514,700,675,914,570,632,849,636,219,368,940,726,347,
805,731,681,359,500,486,403,100,652,495,477,810,627,851,302,034,673,988,826,
456,419,472,214,255,720,164,280,455,016,258,530,795,328,906,353,913,980,141,
302,775,757,014,651,306,803,735,900,862,860,624,174,358,956,077,929,341,891,
874,162,251,063,214,340,460,460,975,319,067,653,223,080,853,726,456,976,825,
218,774,839,100,590,176,170,812,257,018,462,519,385,821,113,866,708,586,884,
183,596,470,268,408,016,554,975,448,490,615,222,581,003,121,955,002,303,309,
496,518,307,595,789,743,326,906,755,532,158,564,519,993,956,056,003,166,003,
387,731,383,394,313,993,523,030,246,304,526,211,623,337,346,492,629,658,755,
994,920,181,138,900,145,262,528,728,955,686,877,472,301,596,548,494,953,396,
919,409,561,583,350,626,769,447,996,426,820,100,903,306,641,010,790,152,836,
819,553,277,204,452,503,298,507,159,164,567,075,606,504,114,673,128,900,026,
672,652,637,028,719,278,623,955,756,604,360,834,594,482,728,536,641,151,433,
131,350,022,700,403,310,414,510,172,417,273,619,852,827,493,103,476,463,885,
065,975,661,964,441,946,797,515,673,622,268,498,945,984,152,878,017,146,973,
615,723,887,888,646,296,512,235,527,496,837,071,243,811,636,464,241,025,125,
474,770,397,038,769,582,231,519,627,711,357,911,957,695,411,012,741,484,680,
122,813,150,720,514,555,641,241,100,911,307,324,106,961,765,403,458,855,063,
725,566,292,903,695,477,412,391,934,957,468,334,909,524,950,039,641,854,898,
578,899,065,330,073,141,442,035,962,837,891,804,081,538,264,078,591,032,767,
262,828,974,744,712,165,841,793,548,085,506,980,666,208,682,677,398,269,512,
725,938,165,251,189,864,460,834,422,980,657,031,151,673,556,925,739,473,312,
955,106,085,896,143,894,600,939,315,882,974,174,830,454,049,935,678,098,504,
308,085,888,105,780,989,977,795,492,687,334,973,814,332,818,053,192,602,871,
516,543,798,849,644,252,210,359,513,408,605,031,083,513,928,084,407,656,827,
109,981,943,562,638,762,087,631,100,316,287,590,395,820,779,711,460,782,048,
282,440,315,420,966,589,111,633,421,983,654,972,907,246,738,794,372,874,343,
817,302,472,724,090,442,073,149,059,324,982,252,675,288,789,260,076,547,969,
115,175,632,909,900,500,116,276,513,557,065,843,443,842,556,580,437,635,956,
434,963,822,764,571,849,470,439,968,216,863,333,091,481,474,706,873,598,029,
744,021,047,527,840,455,923,146,215,016,235,518,979,656,229,384,811,192,811,
963,952,717,268,735,618,648,150,101,819,464,976,490,943,105,211,476,912,765,
204,609,464,705,745,935,370,461,402,473,326,295,731,455,197,336,227,997,964,
457,468,740,683,555,893,467,559,287,955,664,314,633,356,240,379,058,692,087,
005,582,564,685,805,991,099,085,958,737,551,718,570,112,861,193,996,608,086,
068,367,080,504,416,785,069,120,985,597,679,496,091,459,769,756,503,234,370,
618,503,354,855,951,003,135,939,780,659,139,480,811,463,788,947,144,133,104,
386,372,512,106,433,719,256,701,992,099,431,197,644,827,676,863,554,363,744,
729,477,701,915,717,510,852,922,333,664,539,477,029,487,786,717,473,786,097,
207,403,104,200,930,694,981,656,576,122,239,500,052,348,008,827,676,428,960,
112,049,356,925,056,150,465,635,526,489,866,534,628,037,809,260,493,903,326,
679,571,327,552,251,918,414,105,963,813,319,896,093,408,982,881,281,921,057,
019,685,415,585,880,763,723,523,758,033,301,027,355,870,473,393,023,469,013,
836,215,859,378,463,315,831,762,875,625,183,491,325,479,067,856,689,340,468,
885,478,365,288,512,457,321,570,163,001,537,386,093,511,176,901,859,854,260,
262,212,791,952,437,629,306,222,918,979,576,275,216,577,848,811,851,291,111,
758,764,441,325,457,508,233,431,369,663,844,251,865,575,160,329,968,420,878,
114,175,046,316,295,087,177,057,817,481,585,516,676,730,181,113,252,364,649,
822,950,197,428,505,694,206,558,879,263,583,867,919,968,979,883,899,421,323,
582,162,781,599,513,241,241,533,086,432,393,537,347,024,731,976,013,754,272,
229,821,689,655,007,308,904,677,029,442,631,716,769,283,670,466,140,747,432,
549,275,714,806,315,377,769,766,751,029,179,654,933,966,730,184,907,823,886,
135,405,720,198,388,325,297,561,382,132,878,419,080,279,742,822,997,835,244,
569,920,828,678,748,297,474,720,750,475,443,634,205,587,554,383,607,939,166,
552,562,784,560,967,183,742,558,965,775,860,995,028,745,087,797,434,957,966,
731,711,916,795,324,577,601,486,441,826,146,879,629,812,002,803,960,085,637,
360,903,027,554,800,340,546,680,248,030,079,564,709,157,066,705,254,882,153,
619,062,498,851,620,657,456,114,195,503,030,690,628,355,503,490,199,927,734,
806,646,338,915,945,685,205,426,186,223,548,127,815,196,798,303,460,482,650,
878,524,750,220,097,400,596,009,653,526,904,858,631,134,012,125,335,986,751,
826,261,964,412,114,679,848,313,849,751,907,047,198,547,665,071,562,297,554,
421,362,667,405,533,080,393,781,267,976,336,835,437,419,544,529,345,379,977,
037,301,634,090,033,616,706,063,329,701,512,552,682,749,395,890,975,041,201,
465,923,277,384,600,005,845,622,647,117,590,185,396,087,718,570,888,531,021,
233,812,174,121,182,385,511,427,606,628,222,123,223,653,357,883,670,832,111,
356,687,169,943,889,563,135,131,253,359,341,068,644,325,558,348,666,351,558,
934,098,186,735,476,672,062,834,050,367,792,103,859,688,651,603,978,231,954,
678,255,116,744,510,031,958,985,423,416,760,392,535,559,320,154,070,541,947,
084,687,509,506,787,817,446,829,381,060,529,397,845,967,676,128,375,650,258,
420,598,746,136,619,667,340,770,611,685,233,490,941,442,772,817,233,434,544,
958,214,925,392,525,280,469,296,841,367,760,226,130,596,903,808,313,739,165,
279,370,899,272,551,950,021,583,392,709,963,801,152,377,074,806,267,403,191,
280,562,768,197,755,878,011,227,605,302,978,297,533,273,194,446,041,220,733,
885,822,154,097,891,393,801,194,159,603,167,174,980,513,399,904,866,145,957,
119,757,250,059,850,077,850,138,293,833,613,845,043,359,227,301,961,511,057,
342,574,907,025,115,940,557,484,437,357,107,609,557,704,107,763,439,734,443,
554,421,356,136,135,834,616,697,443,737,473,247,927,154,029,189,397,779,991,
524,834,783,812,486,626,175,823,563,392,271,592,019,741,962,482,250,102,014,
917,292,549,863,227,141,664,380,987,081,711,609,094,714,977,232,539,132,956,
658,027,828,401,984,947,169,055,145,148,091,212,139,405,122,706,862,144,775,
119,363,919,306,205,142,088,681,024,484,568,110,735,945,321,229,801,867,289,
080,794,878,402,184,850,670,698,872,385,196,040,418,145,942,816,294,135,944,
276,333,841,348,157,724,603,791,513,149,910,407,599,093,349,600,699,957,139,
661,841,988,928,656,822,471,475,493,179,488,283,472,687,958,551,456,188,250,
666,151,857,435,802,550,697,351,504,371,055,940,313,506,579,412,451,130,072,
651,579,514,707,526,978,872,172,738,812,959,629,982,475,148,202,729,538,390,
329,616,126,419,768,941,857,028,424,473,677,041,198,081,421,963,502,703,099,
724,255,539,203,407,284,482,480,686,592,941,972,122,832,026,543,048,578,663,
435,461,068,676,900,574,441,566,589,411,406,337,273,955,835,163,788,898,896,
427,448,053,187,044,056,038,751,928,457,190,049,259,923,455,478,943,338,351,
770,690,458,812,722,812,012,888,781,703,241,069,973,155,318,250,539,784,163,
254,716,467,138,919,526,255,181,094,619,861,873,647,696,377,123,602,913,827,
242,512,237,476,461,079,110,689,468,042,448,615,821,849,185,208,384,787,769,
134,562,381,495,764,793,902,027,280,626,441,859,615,008,958,610,291,121,926,
345,178,102,424,244,510,848,122,546,562,991,477,904,442,423,134,563,075,017,
847,793,072,422,896,172,493,255,728,449,471,310,159,795,822,184,854,003,632,
567,240,314,367,740,710,866,679,188,866,718,066,816,385,505,000,625,893,360,
051,952,529,076,432,743,901,795,979,578,113,425,856,641,316,850,535,566,996,
421,515,254,213,810,078,539,567,061,367,030,593,683,108,291,091,811,045,035,
093,172,633,164,767,327,767,335,369,303,052,403,488,854,657,272,804,571,329,
811,666,406,570,791,530,668,903,265,014,113,567,542,643,705,312,435,767,889,
159,864,409,063,629,829,914,855,480,611,094,408,776,125,637,504,070,868,865,
905,467,542,850,889,116,497,340,609,263,684,037,996,168,681,618,956,711,040,
704,605,950,158,690,839,582,753,363,967,530,050,885,619,474,373,456,500,101,
504,547,996,645,646,626,218,862,361,927,876,180,972,809,395,297,620,523,572,
095,048,777,911,271,441,271,566,487,617,166,020,329,870,944,197,651,408,940,
837,434,722,580,035,009,224,576,553,489,728,461,805,846,515,802,945,059,785,
393,552,174,913,999,802,681,097,610,189,572,871,420,892,297,668,497,162,923,
810,821,660,768,209,706,368,624,305,714,950,857,658,963,968,467,667,243,224,
911,242,602,347,140,627,847,634,715,525,629,584,794,731,392,446,472,437,046,
330,652,665,493,305,620,951,040,173,501,811,478,655,321,760,698,273,887,467,
010,203,318,261,211,662,574,340,748,313,117,832,905,756,992,986,942,113,863,
210,441,181,426,175,981,296,927,877,876,540,021,887,287,480,626,753,292,941,
654,631,759,410,252,819,546,801,310,265,896,905,221,994,399,514,037,788,048,
534,034,978,607,349,929,898,413,883,832,047,335,525,083,639,081,497,324,774,
250,344,332,006,563,858,549,056,572,248,036,697,218,257,705,246,728,261,326,
552,230,914,640,088,319,492,843,748,580,533,599,535,149,632,424,041,198,282,
095,201,667,156,417,526,409,259,886,967,878,796,427,786,686,050,677,071,586,
797,444,630,111,134,684,031,592,820,640,359,572,516,354,430,364,146,222,595,
968,504,537,109,521,692,518,649,562,780,555,540,130,567,128,552,756,728,676,
524,237,946,588,392,890,826,400,675,212,532,997,987,202,600,345,015,640,859,
313,320,361,000,241,874,994,809,906,304,654,939,570,229,820,835,466,047,475,
893,098,547,754,958,848,511,288,807,844,715,489,490,647,618,578,583,369,947,
384,495,833,132,965,587,940,718,008,876,594,447,970,995,748,496,929,607,982,
623,239,313,932,586,064,699,868,581,168,271,879,264,655,078,393,818,089,740,
481,806,464,264,120,628,215,218,797,564,015,826,103,019,588,740,704,274,075,
732,649,615,807,727,124,931,839,188,458,962,943,310,937,724,426,366,109,942,
625,840,382,785,897,823,312,755,999,855,623,458,618,911,100,752,035,064,565,
016,689,425,354,007,490,608,744,369,138,168,818,917,489,133,910,294,857,710,
153,165,274,532,570,197,576,658,062,903,314,210,470,593,171,254,440,226,185,
743,491,479,853,421,392,665,898,264,319,456,633,715,381,559,821,632,473,381,
554,495,906,384,857,696,293,692,448,617,804,255,234,220,930,407,059,156,842,
161,345,534,867,074,310,537,201,260,171,558,303,231,392,604,596,449,900,331,
351,942,505,215,849,611,113,853,334,364,050,872,632,406,311,505,814,181,645,
644,178,213,797,561,824,837,347,243,412,487,820,798,347,085,936,691,089,492,
590,458,763,448,631,613,761,825,219,899,192,820,408,167,706,767,009,066,050,
226,070,747,381,883,897,564,760,930,300,430,089,437,326,950,614,194,928,380,
238,101,370,425,388,330,737,096,556,638,589,405,741,516,480,909,084,030,148,
813,661,447,174,712,873,114,454,888,978,311,773,009,794,471,127,420,554,382,
580,744,021,123,911,744,886,715,504,088,598,080,321,564,787,591,692,078,839,
194,455,656,772,197,734,423,535,347,449,400,746,076,974,292,848,399,975,445,
452,220,007,845,140,571,266,804,736,648,332,367,073,976,043,598,732,582,827,
486,188,812,919,657,616,612,581,694,817,113,435,532,102,010,923,357,016,674,
962,238,385,903,425,955,534,338,267,367,813,526,145,580,748,067,076,857,263,
657,496,677,443,398,044,739,903,984,367,929,984,040,207,915,046,067,237,236,
045,104,661,166,084,176,159,292,823,331,772,758,696,418,335,872,452,495,073,
724,177,800,625,211,068,605,741,122,782,611,299,161,782,295,214,952,743,226,
975,652,798,983,869,821,627,585,661,813,253,853,112,961,008,552,649,857,747,
801,470,066,039,060,469,328,989,220,774,938,162,184,880,736,340,371,843,476,
264,946,987,959,550,278,167,978,494,038,643,637,700,153,917,564,902,118,796,
134,826,692,090,733,131,679,644,824,522,994,424,743,654,106,791,494,371,946,
628,883,685,408,678,576,749,273,740,205,554,825,761,822,942,178,083,133,643,
551,572,862,412,109,390,213,341,197,561,970,450,991,309,326,667,757,066,491,
607,099,274,199,424,441,788,788,717,614,969,813,079,325,062,441,230,487,944,
969,874,841,137,782,637,168,922,689,667,737,127,383,233,342,986,386,611,339,
174,626,976,625,258,993,855,435,785,832,684,599,063,432,087,050,348,170,822,
375,913,975,514,066,827,061,417,051,615,109,652,452,559,129,055,215,160,303,
243,114,291,343,786,373,803,335,756,852,047,815,524,489,705,642,576,611,163,
852,343,222,398,083,762,756,231,573,220,703,099,262,467,690,413,902,173,047,
485,544,626,625,873,712,440,845,126,461,048,446,367,349,899,585,412,066,782,
670,484,006,570,845,436,022,166,966,122,696,570,400,592,886,533,676,044,502,
865,010,173,155,744,275,128,843,002,614,857,039,732,893,583,763,774,759,282,
629,405,765,197,197,953,979,246,367,123,279,702,557,874,090,684,675,816,774,
487,531,573,558,545,519,496,763,539,116,653,152,787,252,149,500,708,744,389,
953,949,284,767,777,916,435,208,160,578,596,726,205,106,967,725,260,663,878,
630,363,941,924,441,688,360,277,065,263,575,720,346,852,372,526,855,065,948,
402,983,087,550,318,719,951,370,731,053,551,911,720,861,850,434,377,379,406,
578,508,907,281,725,306,939,698,344,815,282,808,100,977,025,904,115,317,803,
268,361,106,486,758,410,039,132,103,643,359,444,607,266,606,519,811,857,428,
365,543,415,552,770,722,145,131,542,453,402,514,414,186,727,602,524,547,838,
495,354,506,578,792,059,574,076,422,324,001,773,994,483,142,401,480,033,432,
739,316,894,877,106,462,731,024,180,784,313,811,899,418,935,128,764,587,258,
712,061,903,519,279,104,742,892,429,737,196,970,473,286,336,131,970,854,127,
736,372,178,718,451,776,886,586,086,043,757,542,972,426,319,011,206,288,814,
104,389,462,566,888,497,436,635,016,135,397,238,623,571,483,529,230,878,912,
371,352,467,297,672,760,739,675,423,846,995,185,341,412,439,971,021,363,836,
317,432,604,390,475,975,934,497,103,385,964,235,090,217,989,982,126,978,593,
710,592,027,312,553,620,368,398,108,339,723,729,612,289,139,332,222,285,739,
730,847,800,605,619,700,775,419,598,149,408,272,597,370,868,519,153,358,345,
222,373,460,447,929,850,947,986,103,615,302,624,014,791,768,092,038,595,904,
092,351,604,042,353,160,720,814,184,255,490,487,008,840,550,508,141,981,447,
145,105,167,955,401,322,109,070,146,427,790,148,250,811,050,542,221,498,984,
977,173,463,598,452,806,310,786,090,935,239,392,504,511,889,298,564,591,955,
774,989,486,802,412,169,096,146,780,020,317,157,896,266,849,867,908,054,677,
256,363,889,121,022,806,289,948,238,267,670,396,160,005,257,175,538,399,420,
335,239,775,679,042,287,224,896,339,544,647,743,068,238,089,106,308,794,451,
616,794,776,208,828,462,344,783,090,464,910,271,931,772,734,026,787,145,840,
601,128,271,291,683,733,979,583,930,571,629,960,853,140,780,050,033,538,191,
473,923,121,073,178,324,252,592,329,479,767,976,228,348,506,556,961,864,923,
662,017,011,634,618,052,736,966,034,146,000,337,140,776,879,510,954,387,095,
099,789,764,268,301,850,566,049,241,867,807,249,168,030,408,537,251,086,005,
092,231,868,274,989,405,376,237,965,656,949,932,518,675,429,240,192,498,003,
982,294,162,032,904,711,740,431,050,167,978,822,769,856,131,851,993,947,390,
801,975,496,761,873,520,175,825,580,895,496,801,334,841,984,901,462,437,862,
774,157,829,527,101,254,111,001,429,731,414,362,187,205,194,456,939,619,503,
471,183,527,879,927,519,292,531,062,475,487,683,092,650,052,316,282,279,889,
015,193,100,265,599,701,812,936,120,002,016,801,409,700,916,668,194,422,964,
769,415,061,376,829,372,881,659,405,994,978,269,702,716,442,891,610,098,422,
652,655,911,294,727,664,128,577,166,174,718,868,026,096,489,490,755,617,703,
474,437,265,490,843,050,056,824,215,936,606,564,318,600,388,291,156,283,410,
667,936,807,805,975,664,857,907,714,574,717,746,797,635,407,160,517,267,080,
070,346,556,863,650,135,748,583,381,523,855,471,651,239,249,399,074,711,908,
701,893,108,771,401,381,486,127,248,745,113,599,881,046,966,963,974,179,160,
239,714,484,019,455,846,717,170,098,856,789,395,147,840,418,738,981,051,544,
948,469,968,031,848,871,555,562,525,556,991,547,485,503,422,877,303,643,538,
654,006,911,113,447,061,657,733,313,744,986,231,680,279,003,869,707,531,027,
974,928,602,224,392,942,320,832,269,603,871,981,129,517,822,122,240,033,391,
005,772,238,424,664,666,856,593,419,568,924,412,046,796,125,637,565,931,910,
851,668,845,874,480,058,690,777,243,887,670,074,250,568,459,203,394,053,374,
004,246,001,118,873,349,818,867,974,823,138,040,414,509,152,045,655,979,862,
698,885,390,478,990,944,191,132,358,677,749,051,259,794,660,335,299,671,271,
566,194,399,149,871,176,289,552,048,170,605,440,239,238,418,720,007,101,304,
594,890,492,829,591,995,880,027,006,908,055,927,551,943,887,067,103,710,682,
394,381,814,066,971,020,478,341,380,000,250,196,895,604,785,956,242,040,412,
993,222,836,898,401,120,063,081,312,743,097,722,260,464,825,482,925,283,791,
512,354,938,939,792,710,467,741,601,341,917,967,873,463,188,687,842,549,835,
893,933,164,919,992,356,895,924,858,790,247,163,987,726,212,865,451,202,188,
787,595,875,200,943,380,178,597,484,702,772,302,750,269,465,805,359,369,837,
630,177,994,530,969,011,674,220,701,953,998,566,979,053,375,742,656,101,736,
518,608,910,528,397,394,182,441,680,818,920,694,692,734,231,101,620,945,730,
648,444,535,878,045,696,518,560,983,778,579,587,578,231,658,251,355,901,384,
719,140,967,978,525,060,391,821,415,070,896,840,087,820,919,931,557,710,089,
146,587,098,544,671,171,478,629,914,142,109,272,756,936,202,222,608,611,059,
900,271,143,598,427,311,686,302,472,536,055,943,438,614,979,496,410,215,861,
339,863,268,328,835,123,993,175,753,936,065,822,601,724,504,701,415,389,499,
406,193,587,331,330,370,096,732,295,534,621,015,433,808,966,001,342,847,302,
544,999,709,647,432,914,534,604,588,733,037,218,700,921,671,596,604,815,782,
539,785,166,948,411,860,483,262,803,405,897,610,626,326,381,438,308,286,379,
915,179,477,532,514,416,422,477,064,217,416,418,361,816,606,402,873,887,127,
577,510,492,570,163,204,812,504,286,208,929,058,361,057,444,725,664,798,054,
799,156,624,794,860,281,807,555,651,281,296,618,284,574,962,250,337,927,835,
069,990,184,356,560,857,296,997,149,979,798,902,111,992,288,957,874,439,108,
130,302,091,653,206,467,933,924,361,264,340,803,735,702,338,052,938,342,128,
445,211,621,417,603,938,063,947,132,389,081,678,020,475,932,368,032,935,136,
512,986,289,063,514,815,117,534,512,534,549,464,432,880,141,687,348,434,656,
593,929,929,083,671,383,636,749,670,920,929,395,207,455,245,016,008,228,710,
022,463,783,987,478,459,108,700,871,661,193,635,980,392,236,459,964,947,935,
818,634,540,862,608,740,605,554,399,737,656,674,577,859,371,805,722,936,094,
865,410,404,775,636,187,780,467,489,106,072,156,149,625,008,750,385,510,515,
649,344,912,553,431,136,819,701,344,673,092,722,727,601,111,386,998,814,747,
269,854,763,454,964,351,077,380,477,274,744,381,647,773,940,525,261,164,908,
466,930,983,487,992,858,981,322,915,399,665,927,609,567,178,855,458,494,027,
879,797,088,291,427,278,500,264,683,165,811,661,212,997,329,753,219,627,116,
428,795,512,247,757,411,899,706,216,310,558,865,311,963,768,540,530,109,015,
179,456,264,134,799,618,536,546,331,121,637,322,749,066,691,488,565,813,881,
415,540,653,627,011,561,609,980,048,425,966,288,520,346,431,687,095,532,598,
917,693,225,433,079,246,679,343,012,797,455,009,689,348,531,166,818,461,217,
778,947,767,145,812,612,021,028,256,999,356,432,199,519,854,953,605,204,284,
842,534,206,159,759,351,670,171,944,167,662,595,090,261,171,188,578,235,698,
323,439,748,344,313,725,564,054,973,541,202,344,171,494,762,235,665,522,198,
825,312,921,428,562,816,714,085,204,664,510,088,942,258,501,996,916,483,258,
832,173,338,208,155,961,549,129,179,991,405,732,614,331,280,384,991,227,917,
979,961,520,239,896,917,150,084,412,227,317,867,669,105,376,124,250,734,239,
871,408,355,066,426,805,973,371,430,256,175,916,543,352,900,276,174,982,299,
482,421,203,718,763,798,546,841,866,615,177,042,595,957,809,698,696,102,711,
009,768,339,435,345,447,681,620,138,750,790,895,397,568,450,980,095,987,189,
727,478,475,420,547,344,023,710,393,498,377,413,108,873,375,333,492,333,307,
391,510,623,723,728,171,770,325,408,780,995,957,234,212,290,768,407,254,227,
113,120,052,901,047,558,397,871,214,424,239,107,113,880,481,703,741,554,401,
849,730,521,188,851,193,867,035,367,632,376,601,747,898,712,321,506,020,326,
001,895,768,465,229,210,801,733,257,987,851,788,280,212,468,025,087,570,723,
555,444,395,481,970,382,338,336,758,331,977,925,243,539,999,544,980,974,146,
666,826,980,268,379,211,567,636,415,337,402,726,553,000,703,707,671,382,743,
008,043,693,197,744,812,217,740,408,992,019,298,036,242,663,823,236,953,730,
640,858,595,846,379,516,554,715,869,708,373,661,816,538,428,372,656,860,189,
055,076,018,354,245,774,037,375,933,871,622,840,139,651,890,342,737,269,920,
194,366,430,417,599,182,844,083,225,625,983,860,352,678,047,493,705,787,300,
140,713,686,989,967,625,252,146,732,038,267,169,574,597,238,952,330,335,909,
097,117,476,705,288,069,588,660,761,859,684,538,594,847,144,525,713,270,488,
820,979,768,793,737,151,362,090,807,393,997,864,003,218,920,940,387,035,742,
869,929,592,933,860,121,924,576,923,544,954,793,378,901,430,380,134,432,933,
321,823,918,109,269,392,159,846,902,812,686,074,851,865,370,315,898,205,538,
151,409,055,883,278,312,893,778,663,634,632,794,312,570,902,387,898,550,205,
549,330,861,061,896,478,615,875,102,066,861,770,754,614,636,883,789,321,036,
568,158,006,080,557,525,414,881,878,646,104,481,479,925,044,900,059,217,323,
054,843,508,016,389,335,510,077,028,962,388,720,500,698,392,495,024,949,069,
993,641,790,911,848,219,545,094,576,885,318,421,779,601,079,575,863,404,162,
115,243,731,363,364,768,371,929,420,110,002,230,177,200,737,617,691,398,400,
487,311,799,522,646,874,700,070,367,724,019,577,122,674,158,907,751,663,817,
273,654,549,997,462,692,373,697,243,963,808,367,809,632,924,332,063,172,921,
956,914,213,562,332,713,729,969,962,857,497,541,938,748,011,578,653,645,999,
291,111,014,495,349,863,625,236,229,329,075,757,474,332,610,607,917,385,014,
008,538,552,419,066,342,260,513,069,449,291,062,006,972,767,704,345,188,205,
226,948,244,548,800,880,910,204,335,347,950,885,766,970,135,397,114,092,080,
416,834,972,047,800,313,292,828,990,755,382,364,215,671,614,055,049,331,846,
892,752,970,285,297,499,889,337,301,416,365,647,565,692,322,486,015,948,386,
114,965,073,375,498,998,954,681,346,703,952,102,487,337,002,887,338,971,945,
690,470,531,236,539,303,878,783,765,519,357,836,830,197,162,321,385,135,046,
469,863,692,408,673,013,848,846,836,846,215,144,769,854,113,509,551,422,162,
092,198,571,232,325,940,996,954,411,118,868,434,817,835,514,650,754,955,978,
166,115,306,486,364,965,708,248,475,549,884,349,927,187,731,077,039,425,434,
338,905,890,976,575,299,412,988,955,270,131,117,889,372,538,443,671,135,943,
106,220,532,487,837,215,854,188,020,610,559,794,266,692,440,878,164,355,121,
224,940,859,542,465,641,499,457,493,400,079,941,570,662,904,517,899,159,940,
547,042,150,741,233,305,911,468,700,533,024,689,160,809,187,392,961,097,230,
517,385,234,201,001,709,143,336,185,521,313,904,486,379,759,754,742,970,572,
922,179,848,985,755,894,842,453,627,941,588,480,849,333,563,261,677,962,067,
151,112,996,560,685,935,751,080,182,928,419,894,724,344,756,010,859,101,436,
864,906,310,117,544,534,578,123,801,806,327,183,503,462,035,656,831,049,450,
963,420,257,626,628,890,803,308,244,536,371,221,154,151,219,857,507,887,536,
004,616,882,670,445,949,662,216,175,644,444,965,746,449,722,635,971,844,176,
789,246,716,897,870,549,473,097,807,949,808,836,609,172,694,113,499,324,082,
207,218,942,070,704,628,475,944,664,138,403,116,655,062,415,265,003,730,556,
809,895,135,832,094,506,672,887,984,932,564,269,754,199,156,963,913,851,830,
000,218,628,434,457,669,690,084,401,779,310,558,701,788,766,375,207,540,783,
439,198,379,928,128,326,827,931,815,337,468,048,233,976,139,732,120,264,669,
373,073,608,337,861,991,902,784,734,049,694,716,539,658,812,889,709,274,951,
008,759,209,388,739,887,005,306,341,941,369,254,052,592,503,390,050,500,137,
681,727,805,794,794,759,246,316,770,261,895,592,978,733,719,462,429,865,457,
703,030,787,979,634,181,029,538,243,194,470,129,268,992,278,826,422,152,734,
322,613,329,901,560,099,040,726,159,242,094,535,855,843,681,037,351,361,448,
897,068,824,855,392,340,264,143,753,847,218,087,671,682,295,914,152,707,509,
452,390,103,898,439,314,070,860,742,169,052,804,106,278,082,628,246,166,479,
542,927,946,266,635,962,852,136,933,874,733,015,181,761,319,071,592,833,914,
739,623,386,638,974,836,947,533,163,444,398,705,231,742,469,748,600,501,237,
111,291,031,974,945,559,972,971,143,658,160,007,149,426,183,368,300,349,271,
721,828,329,362,621,608,980,701,545,031,703,067,096,078,389,421,460,325,012,
174,713,630,671,937,873,700,300,486,110,788,015,239,394,483,376,707,664,850,
219,197,808,290,673,080,180,815,590,766,647,864,094,234,819,717,879,647,492,
614,531,309,103,699,538,238,691,029,312,354,914,893,355,770,869,817,325,234,
860,600,087,067,441,979,410,899,114,897,125,397,726,082,564,919,825,686,620,
365,109,234,850,577,309,811,308,625,434,265,701,722,949,121,805,942,640,878,
498,176,674,303,638,303,649,633,584,126,486,319,766,995,057,563,761,598,837,
200,478,809,608,553,364,548,744,634,036,376,425,902,466,398,877,264,185,562,
785,614,631,545,148,748,962,304,929,381,689,669,712,523,248,899,647,912,080,
874,717,658,142,847,130,778,542,970,794,809,702,317,994,265,950,091,392,330,
936,943,855,872,712,205,159,233,881,700,224,702,161,469,457,706,293,144,264,
729,189,111,142,199,883,118,064,968,603,709,545,433,907,552,519,361,833,316,
217,500,829,235,291,747,445,368,076,260,119,222,203,129,806,525,952,764,043,
936,294,101,101,531,517,536,025,554,080,532,803,384,835,953,468,028,684,059,
806,560,748,648,669,754,654,756,220,087,007,108,887,085,336,624,184,517,931,
083,450,698,447,068,314,231,468,995,798,091,281,233,987,620,120,229,950,348,
443,380,609,918,050,498,856,282,529,488,935,821,269,927,510,885,597,314,893,
035,240,564,660,050,328,872,789,844,602,596,318,501,154,029,276,575,795,777,
363,742,780,150,866,129,002,256,293,313,054,861,004,514,829,104,734,062,387,
579,196,923,683,305,892,687,676,557,720,521,032,265,259,389,694,099,250,005,
366,869,718,977,777,429,866,765,633,470,424,966,190,598,657,282,775,192,376,
084,147,292,248,334,805,588,357,916,483,761,525,544,090,421,701,572,907,599,
101,585,003,566,666,655,997,067,636,895,452,776,074,015,295,148,010,781,066,
328,774,083,270,749,658,620,810,510,502,498,842,461,703,261,589,776,910,637,
501,436,491,038,753,039,396,486,734,038,913,724,959,706,207,870,014,283,250,
508,492,399,976,495,208,456,982,211,591,243,580,089,165,639,045,580,873,514,
270,036,442,834,055,930,366,691,827,050,169,366,345,579,973,051,312,524,257,
785,286,544,972,626,339,148,769,501,832,984,431,799,022,999,202,499,344,992,
021,278,416,758,842,603,126,626,412,067,665,892,150,712,161,485,204,433,135,
455,304,227,852,844,655,676,404,477,574,274,219,763,445,282,687,545,723,791,
954,390,529,801,131,157,662,001,399,324,720,133,524,749,810,705,435,628,873,
766,553,470,697,105,512,836,398,287,274,381,602,675,674,241,781,463,337,135,
321,988,922,252,235,861,232,343,349,849,007,210,764,900,851,588,906,615,827,
876,260,932,893,823,248,205,996,860,774,585,505,123,898,681,139,780,078,101,
865,963,503,985,980,849,687,571,670,661,189,586,968,004,052,319,188,324,584,
802,361,959,658,706,696,108,190,602,051,923,835,319,959,146,599,742,399,056,
614,146,446,034,917,708,676,538,545,206,916,412,464,445,867,510,035,042,142,
923,675,386,689,991,792,849,311,486,801,295,960,836,185,013,124,104,340,393,
194,406,115,524,643,887,321,756,291,766,955,863,665,625,126,507,493,978,623,
038,906,982,472,906,920,521,607,216,368,562,190,890,629,810,223,801,022,238,
341,597,835,422,986,784,676,619,226,013,045,558,804,641,588,975,361,048,646,
873,669,357,666,830,575,553,218,568,275,405,308,817,163,846,478,984,778,192,
226,948,250,660,564,015,071,119,728,979,506,352,444,613,670,948,238,453,354,
122,113,860,765,975,396,655,663,112,503,951,884,127,358,151,775,425,335,368,
902,983,887,239,494,239,816,367,460,121,618,602,455,443,941,112,661,634,812,
482,383,783,846,817,267,771,509,633,688,370,701,608,671,991,569,712,867,500,
393,749,673,340,888,596,710,372,457,860,851,945,775,473,386,820,377,385,394,
243,619,998,178,939,767,860,399,549,221,992,537,107,198,581,799,458,725,409,
010,389,392,411,783,448,238,346,434,632,899,711,163,165,020,345,619,299,329,
175,980,243,200,870,553,844,687,528,705,137,689,869,079,487,013,885,553,263,
479,006,767,628,578,900,819,653,543,300,186,771,771,078,716,493,218,949,597,
917,582,154,292,594,162,618,427,516,159,596,657,515,426,591,690,253,912,076,
854,916,437,898,234,118,360,504,035,520,723,147,978,716,234,277,275,950,907,
577,900,346,545,770,391,026,470,199,656,781,051,134,590,893,571,303,709,598,
824,511,851,667,275,219,639,699,291,521,029,945,313,864,986,457,821,908,918,
261,351,158,450,580,226,860,698,660,859,063,961,867,084,192,247,715,329,051,
617,866,057,720,757,571,390,794,020,119,236,042,009,485,226,318,030,358,224,
123,279,281,535,064,458,403,258,106,874,075,358,435,581,644,241,517,064,757,
474,085,390,662,362,200,558,834,970,892,013,363,909,718,472,126,617,916,693,
303,500,240,373,595,741,105,809,337,423,319,848,176,505,892,981,116,590,018,
755,728,673,521,554,650,213,842,447,842,735,485,732,734,252,360,769,571,462,
527,447,281,427,343,263,365,495,184,608,945,841,707,303,445,418,032,775,337,
563,687,873,005,470,164,515,733,037,211,719,867,335,446,558,117,604,315,587,
448,022,716,414,303,676,481,693,960,699,475,036,540,216,395,374,282,236,648,
306,152,135,889,283,052,665,001,462,015,563,521,383,926,627,121,217,207,600,
488,228,498,394,351,242,623,375,077,957,371,733,368,154,248,860,112,373,425,
196,555,685,632,491,125,173,569,425,761,054,552,692,529,918,510,467,810,968,
000,974,642,926,470,636,961,229,946,887,780,398,811,970,608,959,773,370,025,
605,953,126,919,462,695,506,350,877,166,054,121,944,747,423,328,498,706,811,
600,459,464,984,693,416,074,459,038,650,006,651,126,700,424,109,988,739,949,
298,946,335,559,024,191,918,593,443,240,639,237,578,455,282,897,529,670,234,
045,047,682,137,924,174,979,842,711,880,013,473,563,151,724,609,972,931,146,
457,603,838,434,247,624,670,931,899,586,550,792,380,682,428,870,331,834,763,
295,364,394,119,030,716,520,197,284,097,729,607,300,210,154,166,449,789,018,
041,855,987,968,836,421,872,435,519,677,700,262,684,706,225,074,504,394,175,
960,460,801,377,804,404,994,671,945,785,851,546,406,755,439,092,298,654,023,
601,498,851,619,286,100,547,067,192,630,292,870,236,319,321,004,600,001,003,
749,243,516,257,024,724,473,437,709,603,013,124,801,652,597,910,251,262,676,
893,198,263,232,119,400,947,421,788,545,747,608,130,777,605,780,019,148,732,
019,987,223,155,645,108,505,314,759,456,109,682,015,206,276,588,708,810,273,
808,383,223,284,878,101,069,489,687,770,091,751,618,130,274,873,378,419,137,
592,997,687,236,297,362,681,461,980,323,426,940,330,199,539,299,360,183,910,
025,818,991,335,271,900,178,193,656,178,258,719,225,454,213,719,462,064,316,
824,313,786,052,695,799,107,917,798,624,440,764,168,634,426,159,769,918,976,
910,461,531,492,673,057,782,078,605,794,948,684,829,954,529,012,257,214,170,
879,458,061,943,404,617,779,703,384,002,666,044,064,454,366,303,964,335,510,
092,993,376,638,449,805,288,437,562,671,667,253,615,003,821,176,139,538,578,
765,283,177,360,796,064,907,937,538,474,740,759,995,114,339,921,918,186,681,
847,191,686,023,153,233,686,679,884,021,482,624,083,816,383,041,192,726,848,
504,062,923,043,998,187,320,940,204,803,823,565,104,736,396,078,538,504,980,
075,666,171,452,721,202,055,801,203,133,678,685,981,018,657,082,716,857,706,
419,601,756,961,441,567,118,787,687,165,128,803,989,539,445,611,366,273,784,
458,599,679,192,607,443,510,919,054,703,458,291,143,184,860,758,183,491,789,
581,455,043,555,985,674,011,201,942,205,871,294,655,629,405,065,442,018,561,
814,146,650,065,452,705,078,423,629,243,920,473,137,373,506,058,791,901,676,
065,150,449,816,959,635,371,882,779,956,528,326,351,539,266,242,800,140,399,
290,999,762,331,307,719,855,151,452,485,575,333,672,094,413,663,718,369,206,
383,869,825,071,816,730,208,477,052,833,011,474,498,159,058,572,633,448,307,
021,977,323,127,346,296,375,639,280,193,373,625,758,340,784,804,410,043,490,
049,949,522,645,525,244,987,539,937,577,020,944,677,041,629,334,177,680,942,
233,347,869,003,233,159,508,453,707,829,039,536,720,801,224,238,985,116,248,
626,992,146,076,095,958,311,911,664,408,597,248,649,397,961,444,211,860,766,
152,923,091,070,672,572,644,197,846,029,792,553,935,047,044,826,289,273,917,
095,949,454,695,379,210,483,013,717,505,371,090,800,408,148,233,841,886,560,
114,985,934,783,336,655,117,419,321,546,474,399,766,112,130,331,627,064,211,
222,098,060,831,133,264,579,826,678,114,551,668,041,907,094,108,763,144,837,
141,384,620,564,503,078,744,269,221,156,167,469,021,080,922,321,780,215,149,
303,247,780,620,862,037,599,230,325,041,234,488,351,413,687,550,132,197,549,
186,883,291,531,953,112,002,949,763,951,366,410,193,276,531,304,506,943,807,
370,794,272,452,682,381,707,147,428,898,355,647,980,249,132,031,616,202,077,
014,320,344,863,184,765,457,066,776,514,697,914,971,709,738,942,017,457,627,
987,434,381,543,886,736,085,935,991,896,826,398,737,033,251,980,776,317,670,
543,054,740,504,399,721,989,468,542,966,847,960,133,274,650,043,721,241,599,
014,931,233,458,245,193,932,153,438,709,678,130,378,721,090,982,575,207,188,
122,284,514,297,891,252,060,906,554,607,419,343,982,664,638,999,139,244,484,
612,170,021,150,181,091,206,624,300,246,452,026,642,414,067,410,813,743,007,
689,704,331,211,090,364,387,349,591,694,522,947,461,294,922,396,933,074,141,
552,349,192,430,126,882,945,327,970,802,878,877,846,754,540,999,413,375,481,
931,841,458,223,414,274,340,049,723,077,215,441,543,515,944,359,946,307,257,
241,342,071,471,248,602,823,557,574,511,158,250,112,665,204,588,574,228,122,
795,781,825,337,409,149,309,670,238,364,066,455,542,406,903,777,053,442,043,
105,257,978,212,648,040,149,231,999,222,332,582,753,935,231,639,035,601,925,
961,278,531,594,402,997,646,012,325,887,013,126,148,564,381,019,018,560,655,
995,936,060,078,822,476,618,981,667,504,199,105,451,717,977,280,373,884,844,
157,959,218,908,053,394,197,223,803,839,322,697,492,077,426,250,507,292,178,
547,702,475,793,837,240,451,732,671,448,268,598,330,631,186,549,036,114,768,
095,060,493,641,492,242,184,988,570,016,859,710,278,956,062,882,796,823,242,
258,061,573,970,104,364,375,504,534,393,561,380,481,075,377,883,396,743,316,
871,686,443,156,520,169,839,952,878,073,410,735,535,248,547,901,120,879,177,
109,692,472,348,359,057,506,366,706,490,590,822,463,592,930,643,514,716,480,
556,110,679,780,510,687,324,251,817,341,581,699,777,862,053,091,369,808,842,
247,661,290,981,303,452,149,043,106,245,007,980,326,378,355,596,784,594,803,
148,488,186,570,087,857,037,475,458,977,994,053,046,540,088,917,760,749,250,
212,986,227,471,944,299,003,802,822,450,001,121,515,543,790,298,328,827,691,
843,304,076,970,239,973,724,162,200,321,989,307,165,539,907,097,871,890,461,
618,490,804,153,301,448,231,309,161,999,276,227,869,634,411,704,577,542,977,
561,018,561,979,248,756,916,742,550,273,429,398,334,310,934,720,446,173,652,
480,488,199,400,964,679,705,173,014,614,155,382,063,270,712,743,876,678,304,
765,763,685,123,513,319,007,689,450,709,620,038,324,357,036,860,262,307,097,
221,565,575,546,801,628,589,131,184,342,113,187,353,152,777,099,148,580,959,
214,846,640,165,433,384,528,666,184,584,733,970,808,722,536,932,076,123,913,
093,133,685,508,900,475,246,214,455,033,556,269,283,722,748,160,188,245,699,
805,174,649,409,026,616,748,202,573,930,639,035,960,161,609,738,982,360,935,
835,973,742,268,275,865,931,349,352,288,595,587,115,540,093,537,021,025,453,
527,127,181,717,692,762,793,685,776,750,163,914,942,114,754,604,576,416,530,
647,131,633,979,358,741,947,743,436,485,562,563,170,948,258,361,995,680,293,
241,195,888,446,685,560,929,351,857,646,024,505,377,264,638,110,905,374,999,
301,812,807,802,167,838,144,209,291,633,370,359,057,798,569,363,070,821,882,
864,774,687,673,884,340,759,157,007,858,190,844,668,468,219,363,935,768,015,
871,725,022,494,592,109,206,138,675,969,209,427,602,981,160,890,824,024,899,
395,612,317,368,332,822,242,697,252,370,585,292,729,260,246,026,605,361,279,
462,752,736,397,447,868,292,147,430,130,398,182,468,828,703,092,986,255,349,
412,589,459,936,415,012,939,177,140,148,112,177,341,628,134,510,475,772,957,
706,194,351,914,127,979,784,032,001,650,217,486,091,126,995,381,913,425,282,
488,582,867,668,598,882,311,193,179,817,128,665,744,166,326,816,552,480,255,
402,922,362,730,265,685,532,007,943,042,785,782,602,508,013,623,273,213,260,
512,469,544,233,809,016,976,600,679,372,192,283,220,620,166,575,308,390,047,
952,708,349,533,659,319,653,857,372,240,702,805,543,617,872,679,623,908,530,
111,365,472,954,389,235,029,473,621,523,678,860,207,214,937,543,489,645,353,
053,424,894,763,928,525,668,417,631,968,882,458,232,746,568,951,239,233,254,
485,128,181,743,289,009,164,951,479,373,244,992,276,158,822,701,737,469,982,
823,746,887,568,583,917,797,334,368,250,952,469,766,763,970,258,559,974,889,
022,927,511,928,134,154,120,578,960,383,894,310,601,777,241,252,982,905,593,
014,857,481,551,785,357,500,906,002,389,755,230,541,282,898,255,886,374,659,
532,898,187,966,944,310,499,396,086,477,412,835,781,243,153,780,320,177,892,
232,772,184,965,543,445,119,660,732,132,433,489,615,072,800,360,819,076,460,
935,366,466,638,543,327,732,214,008,507,746,550,305,978,780,865,862,977,889,
763,843,654,583,319,288,578,402,623,313,151,115,871,576,603,501,765,988,451,
952,524,089,316,668,109,998,335,125,615,275,848,967,698,519,726,472,737,675,
265,979,238,901,864,925,499,188,473,108,946,413,488,585,588,992,670,128,027,
096,419,481,763,240,474,226,590,414,740,293,081,753,403,857,635,633,043,239,
685,251,046,965,539,533,357,191,539,633,377,634,644,995,490,030,389,791,780,
676,932,716,920,316,383,250,875,627,347,796,247,109,563,708,234,247,309,824,
125,452,329,606,594,279,601,410,192,470,492,289,895,980,296,102,749,144,694,
066,424,686,195,007,053,060,029,878,850,258,893,985,859,299,854,939,524,587,
488,744,030,613,067,489,228,387,351,738,613,967,482,694,810,018,697,615,759,
808,397,509,845,399,509,339,250,621,688,459,533,339,753,192,068,050,949,204,
837,636,825,572,930,116,470,242,361,660,270,434,382,630,151,188,470,596,061,
599,171,199,212,102,934,873,741,185,775,168,600,692,896,365,214,446,645,095,
410,194,100,289,734,635,389,952,615,607,965,076,114,444,378,290,892,667,985,
200,389,424,411,586,049,385,312,855,731,024,641,107,358,177,794,648,901,363,
724,200,159,732,566,100,073,786,957,376,422,452,883,754,462,117,170,225,390,
009,000,775,752,364,320,240,980,063,190,245,940,613,979,403,392,156,664,597,
858,045,525,762,736,978,705,354,446,689,209,258,703,284,242,268,870,194,597,
129,284,933,541,869,430,557,616,982,432,936,829,389,325,254,997,193,312,297,
863,744,264,899,278,058,097,280,781,424,040,584,417,314,364,591,685,091,457,
914,964,915,143,824,550,999,228,025,688,508,130,862,444,854,691,669,299,541,
334,503,908,637,092,544,073,349,793,058,221,388,865,211,932,901,742,356,744,
211,517,938,132,634,937,713,637,093,805,957,887,260,428,355,930,282,771,277,
712,644,004,797,298,699,957,567,908,683,834,179,296,143,285,140,596,156,608,
759,763,811,865,316,881,209,131,245,548,027,601,173,673,215,219,329,231,194,
533,913,969,986,715,814,541,612,703,291,914,333,930,433,315,121,660,004,039,
071,452,470,975,179,757,545,017,447,581,669,023,355,836,111,134,038,905,444,
806,021,428,441,478,573,586,711,406,433,731,806,862,949,615,576,773,544,503,
120,739,680,441,961,677,074,436,291,984,259,964,632,328,693,581,480,322,526,
859,099,801,552,575,677,354,749,352,407,616,516,534,447,339,839,834,470,877,
508,216,293,435,676,410,749,870,753,297,063,031,643,684,734,002,407,896,391,
986,222,815,942,020,829,120,007,554,250,157,063,288,588,008,842,787,928,980,
798,860,093,392,571,869,356,890,332,645,797,609,515,936,509,478,463,114,125,
319,891,949,352,653,263,114,539,204,423,965,216,326,965,243,183,718,450,269,
091,964,122,256,384,813,171,987,368,779,883,827,712,790,856,015,873,539,987,
140,195,835,228,904,370,713,387,835,119,580,810,203,487,989,299,681,726,593,
977,540,012,781,547,622,538,285,898,047,545,415,013,757,526,801,485,632,024,
425,037,067,940,506,342,159,161,770,972,345,369,172,318,369,572,013,252,084,
373,595,001,506,164,400,280,983,961,930,846,360,192,893,076,702,734,016,955,
715,827,777,572,795,442,602,751,273,687,828,213,269,797,533,069,466,013,254,
452,236,286,115,645,922,389,894,729,278,179,599,436,496,727,717,529,145,951,
261,392,798,748,448,182,949,031,490,194,122,774,695,466,392,516,163,915,201,
191,906,254,039,085,382,268,945,434,682,011,131,317,424,423,112,912,238,391,
026,973,547,476,877,860,635,605,339,682,002,397,442,627,088,689,188,782,888,
177,061,248,993,327,858,449,542,145,346,925,992,527,275,877,087,382,601,744,
111,976,447,865,774,578,153,297,706,248,641,446,229,188,446,758,623,592,614,
971,307,152,246,039,056,173,781,950,760,301,931,785,146,178,896,703,396,729,
180,819,816,438,817,446,696,754,758,583,353,223,650,944,035,881,296,122,761,
217,837,530,891,029,194,608,116,793,972,627,032,883,192,363,592,649,288,861,
855,166,055,198,232,304,388,595,287,337,095,060,165,681,686,450,792,501,676,
322,879,869,829,983,818,671,616,305,085,400,805,606,167,253,491,528,131,418,
009,002,047,755,536,399,015,969,600,834,529,272,594,333,577,506,348,348,091,
033,104,613,584,334,915,341,938,479,145,918,419,719,996,545,732,522,625,243,
324,635,659,599,458,582,940,704,975,575,988,267,242,950,624,708,770,545,179,
712,399,704,060,314,495,607,219,982,436,069,145,303,287,575,125,886,855,471,
827,716,722,365,906,247,588,825,766,108,102,532,862,818,621,016,336,966,438,
279,393,675,941,162,083,037,305,195,704,881,632,306,756,867,380,378,277,848,
466,579,453,039,855,874,648,605,614,470,798,095,468,843,288,183,699,395,686,
610,415,819,953,698,029,947,012,212,618,310,094,729,808,909,911,350,902,903,
379,632,850,817,217,137,399,464,608,245,259,753,363,334,485,265,369,470,925,
445,477,925,514,600,995,419,889,384,411,213,969,746,861,805,434,161,585,808,
282,285,545,138,779,517,607,343,556,636,700,292,541,614,354,859,026,608,545,
549,888,277,952,872,927,365,818,533,677,732,525,821,970,825,101,322,693,553,
220,836,303,635,794,569,151,851,177,496,377,995,450,251,765,731,517,972,296,
668,457,034,828,693,302,088,368,740,145,772,855,180,873,203,201,392,933,969,
466,114,321,357,670,680,892,765,209,555,143,836,714,653,445,973,237,303,300,
120,173,764,746,996,527,572,198,338,368,095,345,129,306,103,089,506,019,148,
328,525,785,785,391,124,250,833,190,660,211,058,124,530,523,092,986,441,911,
719,542,987,735,974,651,531,646,104,810,749,280,903,155,512,669,503,277,868,
790,065,391,843,852,147,261,706,782,442,590,006,298,977,105,267,654,969,414,
717,764,897,376,637,199,236,618,727,868,879,073,342,026,910,777,085,909,960,
501,579,670,938,849,148,608,626,124,312,043,485,803,010,062,421,829,990,721,
261,561,707,360,775,762,635,011,764,884,667,901,519,922,064,827,851,558,179,
458,892,264,245,617,948,144,414,443,685,429,669,881,117,549,668,606,408,055,
933,712,576,499,145,831,158,603,365,375,358,366,156,640,316,631,891,896,307,
260,642,860,176,568,677,351,128,242,824,339,037,647,271,394,621,919,498,894,
658,984,973,510,875,710,822,898,194,242,962,326,468,285,629,212,447,729,591,
240,072,396,684,867,053,063,986,937,191,596,983,161,275,261,152,411,910,315,
442,394,725,274,727,579,717,550,786,581,592,813,849,297,880,142,883,818,665,
198,682,021,460,281,060,245,335,788,561,430,212,345,771,755,684,142,670,887,
287,030,328,235,975,051,031,465,871,692,532,071,927,194,884,232,401,893,169,
493,201,967,706,490,382,891,539,872,658,313,840,279,165,723,079,154,706,173,
811,151,878,629,791,522,507,632,830,759,131,452,109,208,054,650,692,614,999,
507,341,888,315,250,116,763,553,553,842,810,226,793,921,959,380,725,060,120,
193,822,167,251,323,998,130,577,586,419,488,372,471,481,165,518,520,660,301,
015,808,406,662,469,588,444,975,629,560,478,719,406,896,036,563,290,967,296,
314,241,662,753,791,914,599,941,539,307,802,512,485,468,272,921,947,212,446,
414,086,184,103,028,427,822,944,672,166,690,679,040,383,931,174,757,182,758,
716,907,376,232,837,659,831,796,938,698,558,807,157,555,803,144,962,642,860,
493,450,953,241,075,874,419,328,972,731,742,592,635,221,535,494,251,188,260,
519,251,727,852,692,444,405,812,472,196,971,219,896,434,191,795,108,909,556,
060,100,871,499,119,465,228,188,453,420,985,273,960,267,339,910,371,775,573,
804,330,532,413,832,416,561,915,939,155,732,520,964,336,869,637,186,508,755,
879,381,590,741,689,123,990,486,954,598,407,643,996,441,459,932,584,073,629,
433,586,458,666,504,194,989,543,593,153,162,434,059,174,420,964,352,955,462,
541,307,730,608,634,207,638,217,623,863,801,899,455,314,392,646,640,767,150,
655,095,117,771,867,592,384,570,115,875,557,954,333,354,601,389,362,517,671,
762,226,553,007,263,148,616,566,716,224,626,770,354,710,947,828,404,998,855,
218,162,667,935,362,368,560,811,146,629,376,277,623,271,364,038,192,340,819,
483,893,784,017,383,662,963,773,799,215,898,277,210,797,143,175,249,356,292,
671,870,741,071,433,759,455,050,745,779,293,132,815,895,264,508,671,355,674,
899,679,333,352,907,769,694,785,433,465,298,239,293,397,260,882,664,236,366,
224,029,990,772,994,563,324,462,731,854,039,628,195,218,349,793,131,160,298,
399,557,951,093,330,179,676,621,438,249,939,439,164,033,024,080,059,706,296,
678,018,122,409,757,192,398,850,594,840,332,393,034,818,546,790,290,529,936,
452,652,730,807,640,906,592,144,342,353,113,088,809,672,045,400,111,019,225,
173,242,245,436,000,615,389,025,762,712,378,925,872,805,712,400,057,236,886,
276,725,099,253,183,434,143,211,614,016,514,986,046,279,250,500,357,581,396,
675,595,354,357,832,415,812,670,958,118,555,339,499,718,679,078,090,458,719,
217,116,858,112,045,665,278,583,929,409,312,071,947,765,359,533,336,782,867,
176,870,519,371,828,918,943,626,145,380,168,438,999,768,895,681,620,652,158,
868,108,116,357,503,164,279,698,830,452,988,666,199,104,858,067,429,536,692,
353,549,008,326,951,814,749,004,213,602,519,278,496,629,104,782,446,365,301,
552,554,769,847,358,435,021,897,171,155,690,608,414,210,610,554,828,874,153,
260,128,500,327,478,888,655,897,459,335,951,549,395,204,873,471,785,419,230,
895,814,305,532,899,906,076,932,002,272,188,698,007,660,009,540,179,773,341,
881,444,109,062,627,996,014,782,553,696,505,131,938,664,189,236,203,170,657,
627,633,668,289,727,249,588,356,296,398,607,083,266,060,319,295,181,012,154,
944,492,530,946,003,635,670,938,294,307,815,604,601,198,113,482,737,841,805,
470,711,320,778,611,101,489,362,449,955,879,414,269,239,853,427,029,384,360,
770,288,243,174,591,271,043,010,637,546,617,976,518,586,665,682,048,506,183,
092,530,591,829,119,631,885,717,494,077,681,024,196,313,930,933,212,351,298,
761,456,224,482,219,852,295,341,829,392,482,550,849,156,684,580,271,812,154,
170,263,125,366,715,142,730,044,400,780,637,370,611,809,250,153,161,211,833,
457,931,083,569,704,779,308,184,844,224,803,191,825,601,577,853,711,080,344,
720,619,529,798,929,928,818,791,369,269,032,480,733,810,519,284,800,158,456,
394,769,559,896,521,285,043,369,962,245,799,382,199,658,628,384,544,945,810,
461,771,416,718,889,387,997,347,955,397,540,429,993,120,174,113,576,719,849,
738,131,201,622,987,101,733,510,639,303,416,607,238,977,800,094,130,138,869,
121,737,999,553,138,047,091,696,793,514,061,443,315,452,280,412,701,880,975,
384,745,233,866,359,421,826,416,588,835,498,774,632,294,411,805,038,527,138,
965,619,398,127,132,575,006,568,443,210,915,129,263,190,499,510,808,759,528,
749,213,711,818,337,379,443,631,286,410,076,274,523,445,859,689,984,923,011,
069,021,313,017,332,661,597,467,528,141,189,373,398,436,097,490,134,985,552,
651,129,996,369,584,115,514,893,281,977,562,262,295,324,885,199,670,574,709,
329,217,540,136,407,758,855,869,077,415,300,777,468,571,654,196,702,504,103,
837,323,449,514,493,842,787,168,930,711,780,789,617,597,376,275,648,286,594,
292,205,250,306,075,564,604,953,167,667,528,099,591,996,500,906,081,791,125,
435,112,762,460,849,815,619,564,577,883,074,297,683,373,014,942,218,175,802,
546,864,648,510,690,013,552,068,571,814,586,207,699,898,755,778,144,435,222,
406,132,638,698,804,548,259,038,834,181,643,821,804,266,788,602,549,277,009,
934,469,615,146,764,929,412,831,444,236,606,671,824,686,018,877,370,046,776,
738,119,129,824,323,923,090,302,372,495,968,994,562,535,247,453,126,595,183,
145,100,087,683,662,674,584,039,063,828,261,389,336,878,632,095,792,811,733,
573,714,668,318,421,950,907,345,556,912,477,922,377,537,737,905,821,309,114,
705,811,174,145,985,710,943,240,244,706,377,926,963,156,001,742,810,355,213,
277,647,506,384,037,595,149,104,851,170,772,943,396,212,527,839,249,633,202,
495,520,749,034,475,179,823,393,866,829,192,679,770,205,163,387,877,176,390,
817,765,296,497,558,229,635,758,543,846,257,526,649,948,155,573,018,781,646,
321,917,011,510,749,551,172,035,807,268,837,813,587,567,728,390,645,618,478,
285,515,641,070,093,109,217,565,972,467,904,658,052,000,700,481,527,846,234,
140,815,672,574,886,816,323,459,108,819,759,740,482,884,916,692,456,705,695,
054,217,517,704,704,897,362,432,141,804,121,688,034,139,263,637,964,704,328,
843,607,925,786,163,640,514,410,962,442,506,508,274,932,282,171,713,491,781,
402,968,002,985,667,572,514,428,705,549,191,783,911,475,309,154,499,372,948,
367,619,937,050,787,401,128,181,299,123,887,818,390,271,344,709,941,296,229,
216,245,994,391,294,826,044,815,736,204,491,257,317,364,909,648,101,665,097,
696,008,827,582,447,442,131,564,137,113,549,815,053,942,310,981,391,082,993,
714,403,573,180,511,412,291,679,326,195,326,104,317,510,671,830,437,654,731,
069,762,612,335,010,197,436,612,951,058,487,254,409,824,689,060,231,764,444,
439,770,688,670,030,591,582,754,561,273,516,127,468,061,796,208,249,355,942,
728,844,050,246,918,731,934,244,811,501,439,467,879,843,567,955,326,452,867,
743,248,904,799,241,970,346,620,640,561,075,373,263,096,595,222,735,860,261,
213,502,627,310,766,985,809,127,407,094,860,067,546,354,442,793,302,550,353,
901,949,263,196,928,883,935,270,162,892,867,127,226,809,940,600,016,280,761,
825,027,505,713,672,565,162,361,952,253,886,623,001,360,710,197,776,280,947,
943,538,807,636,561,007,160,868,256,629,374,613,652,303,224,303,136,091,616,
375,758,893,575,727,859,109,712,043,691,681,480,324,056,675,618,457,971,463,
178,036,767,899,450,055,880,465,486,257,760,226,617,055,641,259,684,887,532,
486,792,018,642,327,124,647,620,920,000,320,162,012,966,776,419,836,538,204,
483,489,854,141,925,027,412,224,609,151,711,604,234,805,075,703,639,899,041,
627,366,121,503,012,035,468,500,467,908,998,048,086,733,427,028,703,047,859,
374,681,914,530,467,116,083,735,209,351,606,306,203,090,174,308,819,769,488,
872,828,732,684,660,694,466,398,284,606,001,956,036,407,980,319,115,239,204,
112,977,775,537,354,160,417,508,492,896,909,342,037,126,316,094,199,211,274,
517,671,584,709,168,670,886,117,339,847,059,906,696,938,937,159,280,961,902,
908,870,885,716,474,594,967,125,275,035,757,601,248,390,091,155,578,472,627,
998,446,256,411,106,313,948,798,717,620,686,545,052,350,267,962,695,621,363,
561,259,201,337,657,946,664,750,535,271,939,584,532,407,671,768,065,987,420,
017,354,589,705,602,051,274,567,502,398,400,018,575,603,046,678,404,535,452,
269,511,908,411,952,615,480,252,067,268,500,963,659,479,231,156,716,038,635,
148,896,269,661,708,388,290,051,147,833,586,319,811,670,021,407,057,281,424,
324,952,310,307,773,712,626,944,295,297,222,727,021,183,249,792,134,627,310,
782,078,075,249,299,015,277,325,732,887,196,940,860,984,798,391,929,533,779,
807,709,091,731,428,847,834,165,628,127,224,896,210,904,289,144,759,710,404,
595,122,117,533,576,695,260,572,564,476,183,375,320,317,466,062,395,428,274,
433,132,079,129,744,261,992,622,966,030,124,307,303,679,036,855,940,463,721,
497,224,989,779,421,820,616,420,402,119,839,454,846,761,695,398,924,882,255,
492,935,145,560,943,934,769,333,576,515,618,955,831,885,415,706,026,964,183,
623,932,279,234,387,407,835,881,909,153,639,138,673,297,586,362,374,509,499,
921,954,440,618,096,615,270,378,441,027,578,925,642,570,739,836,552,310,250,
048,810,195,305,527,616,613,299,393,185,058,416,111,870,871,831,868,672,887,
248,917,120,422,290,362,981,346,818,774,661,216,660,271,804,718,087,822,118,
797,575,375,463,227,151,265,593,322,123,461,873,435,093,841,100,442,509,683,
837,884,503,566,809,485,977,415,377,446,112,578,359,980,893,734,965,687,431,
245,876,492,101,592,451,842,190,561,363,036,086,990,971,831,925,774,910,994,
424,012,326,387,158,573,649,044,664,897,028,912,755,638,992,784,374,572,270,
760,225,709,610,638,864,605,048,889,253,352,928,419,883,148,879,051,528,657,
915,400,365,025,292,339,006,858,626,486,222,387,585,859,268,631,464,284,368,
915,785,695,056,890,720,569,796,527,505,285,849,768,989,232,592,657,433,060,
155,767,191,906,122,370,618,212,578,398,061,701,379,388,627,189,704,464,495,
573,406,174,650,403,030,948,011,195,987,256,710,525,566,713,530,338,757,618,
210,566,903,547,108,806,398,649,822,000,919,757,213,551,127,404,240,101,236,
348,269,248,830,953,145,683,162,992,630,916,782,288,603,615,887,183,415,500,
358,609,728,112,329,039,977,341,332,627,556,734,820,703,080,319,254,379,814,
290,629,172,537,101,246,184,503,443,933,605,872,812,938,751,841,076,858,640,
714,433,962,758,459,772,238,959,440,230,156,692,088,915,983,683,853,669,070,
812,960,836,747,599,752,400,669,625,516,353,924,210,811,796,445,387,465,709,
148,912,998,374,450,740,257,887,091,758,227,038,493,409,014,761,344,016,664,
799,669,787,466,704,367,859,513,515,687,438,457,701,546,551,629,246,870,535,
051,906,910,242,948,738,295,816,707,117,395,111,869,074,961,094,068,147,098,
872,192,595,268,215,623,174,786,847,887,341,596,056,033,909,731,416,713,703,
803,526,993,642,294,923,169,569,426,810,178,792,041,550,135,726,961,100,230,
271,188,787,996,906,301,912,758,957,462,296,111,668,129,534,620,797,227,898,
043,501,454,139,615,743,693,407,296,716,286,707,599,303,528,958,499,802,758,
923,483,591,505,200,408,947,432,266,207,592,413,753,501,430,564,256,515,516,
272,208,563,057,532,071,231,172,700,877,441,116,755,709,986,345,607,482,578,
767,284,736,866,688,296,853,940,568,367,380,457,216,476,828,597,215,142,038,
796,387,856,365,570,269,269,399,589,436,390,299,970,450,941,579,823,038,702,
568,697,250,889,020,018,548,349,292,971,796,185,491,556,325,863,455,617,851,
571,766,187,014,026,323,587,021,698,279,174,654,590,092,869,658,137,218,060,
585,269,985,384,751,977,343,226,416,133,619,789,898,878,180,488,876,725,575,
444,747,133,944,589,141,805,715,554,843,313,261,793,060,983,252,342,542,448,
694,921,442,145,489,518,529,653,322,357,168,491,654,406,670,350,908,475,239,
433,089,977,029,143,475,400,275,481,539,903,794,168,097,661,649,245,419,959,
974,048,288,791,019,133,201,095,932,265,939,156,522,088,000,944,030,283,936,
852,088,886,651,791,296,542,304,773,018,141,207,920,362,614,078,045,855,188,
359,606,510,799,046,777,515,427,335,413,825,433,149,830,912,641,080,497,733,
714,651,060,135,952,635,130,659,181,798,904,766,314,363,518,045,632,292,658,
996,692,218,462,488,032,451,639,291,008,305,600,624,602,308,362,585,513,699,
352,024,335,841,501,378,206,667,718,200,853,087,159,969,342,185,014,549,046,
590,752,699,449,048,530,920,647,945,589,538,560,452,294,887,434,581,823,640,
726,751,124,493,891,873,079,345,125,313,580,463,060,744,335,388,674,767,894,
992,325,989,672,305,640,985,802,474,458,063,285,075,529,265,235,870,742,965,
759,607,014,791,913,612,048,535,364,686,336,327,347,338,354,680,401,783,338,
119,686,037,634,496,687,734,891,354,036,012,148,782,959,684,890,563,887,181,
243,473,599,096,646,283,316,818,568,651,189,631,635,124,755,276,945,500,693,
981,133,170,080,484,281,826,151,819,375,405,461,075,814,808,873,926,220,868,
586,578,255,623,274,887,272,335,649,927,380,391,060,680,115,007,862,859,907,
483,721,206,115,684,623,623,189,473,913,347,141,305,327,273,335,839,718,924,
563,756,717,154,959,792,579,125,208,227,030,617,376,188,934,827,838,844,968,
163,763,271,634,790,391,403,291,932,929,402,995,270,679,000,457,364,315,626,
298,707,726,200,914,751,087,690,172,840,637,695,932,564,642,482,370,111,048,
495,191,031,414,520,222,033,413,141,772,278,336,899,926,392,729,145,492,121,
111,458,619,639,859,246,956,973,089,065,568,273,945,077,576,824,991,308,322,
038,304,011,632,328,717,127,749,744,548,593,356,190,973,999,143,899,687,870,
890,865,850,645,025,681,901,617,420,558,670,382,308,416,066,571,448,063,756,
609,632,072,546,136,562,181,072,357,930,957,246,401,154,713,470,869,264,587,
289,850,533,883,023,612,381,950,270,341,309,279,353,253,919,427,860,409,029,
244,813,930,864,315,481,189,028,366,232,767,552,980,940,277,511,649,181,716,
792,412,773,498,266,766,435,241,471,765,207,847,881,482,467,937,176,922,058,
188,335,888,687,569,431,537,324,789,228,178,851,844,560,156,561,126,846,012,
587,651,159,462,221,990,820,273,004,376,911,906,466,325,444,325,774,066,496,
986,225,210,573,984,724,636,376,087,395,464,287,215,231,773,262,182,795,209,
479,555,413,545,401,719,761,848,340,829,909,038,577,643,834,975,516,478,081,
478,910,956,612,790,485,436,214,744,305,152,358,083,437,404,491,144,206,807,
117,152,138,363,909,344,660,104,873,038,730,026,841,440,230,423,547,085,808,
599,025,742,642,583,607,253,375,808,142,442,148,818,317,630,485,949,128,754,
259,051,474,441,757,937,104,400,693,634,045,673,378,714,158,569,351,830,603,
361,486,407,682,045,609,219,185,063,202,000,598,346,957,260,954,337,236,629,
645,511,119,997,910,093,122,555,733,926,575,606,745,633,344,286,928,755,523,
495,890,836,898,733,363,191,359,931,585,022,263,084,299,869,270,733,719,990,
079,526,328,875,842,236,996,257,717,891,720,395,521,515,770,493,997,067,186,
444,771,642,075,631,484,383,784,926,238,696,131,491,726,706,314,687,625,347,
984,900,452,867,271,870,479,809,611,216,826,573,713,370,827,224,089,956,764,
506,075,537,196,424,634,472,349,020,867,541,342,450,128,222,592,949,523,279,
040,617,080,620,654,886,455,730,745,712,958,299,478,343,865,124,441,245,808,
374,161,015,904,677,408,098,061,816,552,392,762,690,421,384,546,767,245,633,
126,785,577,502,350,136,343,382,185,082,414,731,864,886,710,372,913,736,359,
908,963,315,657,876,669,384,135,732,581,642,910,974,227,784,341,856,979,295,
377,113,819,171,395,516,306,039,889,032,863,432,189,852,929,435,808,290,333,
703,175,180,775,571,306,624,828,297,860,387,507,577,147,606,169,674,674,393,
018,079,151,652,668,395,187,927,604,820,080,842,642,415,997,149,435,441,230,
593,180,995,441,287,352,605,640,252,146,192,724,959,075,110,625,220,352,221,
884,045,979,544,291,324,541,064,978,065,699,919,333,856,592,485,592,378,707,
695,163,499,853,983,898,462,374,946,780,799,638,685,134,476,944,404,897,495,
965,356,723,336,896,510,352,154,903,833,676,414,973,263,858,102,654,036,144,
282,338,148,616,970,551,423,819,913,758,815,135,812,038,777,964,094,973,495,
339,568,698,783,655,302,420,059,585,513,812,076,745,481,335,424,509,104,526,
628,497,340,875,653,720,236,563,565,056,389,900,580,223,571,782,300,073,565,
446,403,087,597,159,216,910,921,196,901,761,505,876,727,518,023,456,465,093,
234,013,956,615,121,615,741,013,244,149,800,189,102,839,642,080,552,224,556,
119,325,606,336,329,104,176,967,547,104,897,278,907,599,940,679,811,578,521,
842,589,314,838,356,321,859,565,076,861,112,415,471,893,045,765,260,318,828,
816,368,513,407,387,903,784,277,554,093,493,502,731,928,265,073,779,673,870,
904,712,624,780,560,982,581,170,308,467,746,014,884,731,979,682,143,903,487,
781,127,330,030,594,976,246,949,400,787,808,717,709,433,898,417,172,272,044,
994,856,753,158,139,668,910,274,493,192,746,560,824,875,004,742,644,404,820,
095,397,033,239,116,085,967,949,865,106,637,671,393,907,416,879,872,884,257,
247,446,199,120,523,723,890,263,079,173,211,561,797,098,236,507,580,694,033,
627,744,586,033,500,723,983,370,206,692,194,318,302,728,422,540,583,643,511,
731,688,210,670,094,229,338,920,773,148,050,207,014,459,080,912,460,508,305,
366,916,145,289,893,786,854,423,892,496,697,266,542,095,472,463,991,770,531,
347,412,552,968,329,039,006,351,452,888,923,078,836,736,847,854,127,919,744,
623,666,876,644,518,440,905,452,050,347,650,014,863,429,295,199,225,841,861,
289,172,646,534,005,326,997,401,724,426,805,374,408,944,690,297,059,835,732,
373,379,496,783,154,705,030,845,581,423,651,589,773,486,626,489,475,413,651,
512,012,072,738,946,520,077,401,878,547,564,808,696,166,742,576,336,983,013,
857,646,445,609,024,814,869,190,886,922,646,658,101,410,643,991,837,610,907,
480,145,413,186,550,420,178,202,769,767,689,968,161,838,921,936,923,932,166,
287,693,020,237,807,254,827,035,322,281,069,799,238,288,204,555,948,276,673,
758,909,400,117,121,372,940,802,780,909,573,084,704,855,196,761,805,371,792,
319,797,457,872,564,394,516,915,342,968,000,200,433,160,467,303,150,965,027,
734,828,685,523,038,118,200,131,990,834,309,160,250,728,872,813,406,278,011,
625,168,115,587,542,176,963,761,482,612,175,850,672,887,228,815,912,613,982,
182,254,546,466,023,072,798,457,325,387,011,761,844,957,737,169,196,602,254,
420,868,995,499,879,535,171,276,223,396,727,280,574,614,646,877,237,947,694,
281,597,712,176,805,603,547,134,642,478,292,159,883,270,091,161,471,818,384,
687,982,043,635,645,977,209,595,497,846,250,974,890,820,884,659,890,473,247,
267,847,554,511,080,323,403,603,867,908,648,562,421,490,728,692,833,760,368,
876,096,268,623,129,716,412,841,778,079,491,197,449,474,430,112,531,361,045,
877,422,382,963,403,064,689,300,190,372,700,929,383,812,232,895,245,717,427,
400,272,783,254,995,165,728,972,022,004,184,228,984,824,782,815,753,501,256,
233,098,395,639,528,856,889,793,040,491,552,525,775,703,382,838,011,876,234,
538,500,051,117,066,056,870,396,992,645,158,060,432,527,111,681,706,093,239,
585,497,180,158,834,810,118,087,442,914,958,103,955,082,565,602,256,932,249,
327,111,163,854,240,746,021,463,355,354,889,484,277,043,605,235,376,276,399,
802,684,831,704,792,281,160,120,207,883,891,169,793,879,936,046,799,368,713,
949,988,225,406,672,401,293,890,403,442,279,845,452,619,684,342,514,348,400,
818,338,095,117,904,811,076,839,666,402,081,913,816,065,977,455,504,183,712,
551,485,026,918,280,396,495,252,777,728,940,986,862,457,361,118,448,996,299,
437,082,087,058,799,774,196,343,359,594,225,285,384,635,443,180,525,889,166,
538,351,885,784,171,979,622,447,304,141,633,432,779,385,353,661,114,851,292,
454,184,373,086,136,897,599,314,195,281,258,177,679,614,851,968,473,917,221,
658,826,460,862,364,728,245,566,843,296,795,888,639,172,431,741,267,755,560,
478,884,436,593,704,124,166,091,935,145,591,686,602,599,913,313,204,534,964,
230,310,840,733,420,677,969,287,065,666,656,885,190,445,928,940,000,854,899,
549,169,545,043,018,956,711,395,513,288,411,130,185,093,429,080,971,100,592,
495,453,157,489,452,595,446,690,650,872,815,429,022,510,175,604,322,230,993,
945,505,524,072,102,397,869,027,561,483,325,814,025,100,393,291,518,720,540,
343,238,275,275,014,567,000,224,258,645,770,952,833,978,298,175,728,732,027,
844,596,299,443,626,476,800,776,205,238,550,406,813,699,978,833,444,013,630,
062,698,368,882,024,010,399,282,480,470,360,285,508,095,669,090,261,011,031,
078,956,085,272,646,485,249,637,745,231,532,586,975,030,192,847,550,098,896,
279,548,493,931,256,502,835,052,378,127,287,856,429,462,913,165,323,437,540,
759,896,946,457,693,332,098,732,385,816,937,942,837,662,185,421,186,560,881,
887,997,790,558,008,625,953,255,896,579,230,432,818,101,988,091,592,916,009,
273,726,736,836,572,141,029,186,930,709,761,295,173,072,480,240,162,963,920,
644,790,737,719,548,580,759,681,940,453,274,525,068,263,166,885,925,722,763,
040,194,204,853,794,328,164,016,378,572,584,882,349,092,306,328,566,903,831,
527,400,411,662,458,498,395,588,128,343,906,695,193,619,939,595,130,846,833,
651,464,341,762,514,602,995,119,557,300,889,079,504,852,906,598,987,241,948,
821,020,162,836,742,001,577,135,405,191,908,819,252,712,012,342,755,730,773,
463,394,889,187,314,230,614,915,979,696,509,868,747,394,995,991,749,785,522,
282,717,098,567,774,185,004,059,424,076,908,195,746,816,137,742,553,079,370,
878,156,325,080,365,095,054,034,071,495,609,676,177,175,045,868,688,683,883,
735,897,278,651,511,989,142,935,181,404,232,489,055,910,414,312,222,057,983,
189,105,553,545,121,706,349,860,619,199,392,474,075,977,185,717,269,583,822,
981,771,238,549,329,366,549,273,165,709,789,165,532,503,474,619,307,293,862,
670,105,705,226,552,353,743,750,564,051,440,345,916,889,224,694,873,109,980,
619,785,567,568,863,963,053,768,845,289,237,264,775,481,524,566,611,745,947,
491,196,661,872,574,764,036,682,384,602,617,923,421,122,216,129,711,353,676,
707,243,207,261,030,680,351,255,336,378,554,777,132,915,707,105,187,997,998,
182,713,225,185,303,985,278,774,807,028,443,066,973,625,518,507,052,746,733,
090,614,537,761,712,146,146,047,959,038,706,181,019,714,892,557,569,705,167,
549,050,765,023,362,735,180,396,084,389,739,572,575,867,438,568,129,261,685,
607,555,213,685,711,984,235,002,769,616,797,288,539,167,021,522,975,936,405,
654,605,086,178,426,914,672,244,516,998,902,082,309,857,828,972,583,491,845,
820,315,681,685,417,109,520,710,923,728,805,512,456,945,535,711,995,163,275,
303,940,503,985,611,251,625,659,768,841,327,816,524,305,028,337,078,222,001,
060,028,344,089,965,367,227,066,578,533,701,346,736,772,687,894,370,562,450,
651,084,966,303,799,789,210,741,729,920,301,933,564,589,347,703,622,836,156,
219,667,593,386,442,035,461,344,028,389,053,377,605,532,968,862,217,948,516,
484,633,263,255,985,049,538,405,843,360,036,744,745,561,250,081,676,829,512,
984,614,325,965,329,453,423,853,308,510,508,013,105,375,345,185,390,492,907,
783,809,992,249,555,705,108,361,668,748,136,330,293,933,398,787,358,106,309,
205,368,887,617,232,894,573,575,162,701,353,430,630,178,654,085,272,742,430,
951,352,658,178,636,086,459,128,841,720,761,052,816,597,636,896,118,695,742,
042,157,858,124,475,277,028,926,424,240,503,150,921,634,192,838,787,720,039,
587,484,180,231,043,702,575,063,775,535,238,538,522,728,950,347,074,801,089,
154,786,550,686,801,207,579,945,696,561,715,540,793,959,843,208,474,628,181,
028,483,505,455,237,309,084,786,695,334,939,521,246,250,088,978,945,847,036,
669,539,333,722,200,145,627,886,483,836,162,056,755,753,840,936,519,446,265,
577,211,175,814,522,834,462,244,726,201,997,376,451,451,061,396,266,066,687,
085,172,820,851,939,225,689,535,920,606,181,081,097,787,404,497,432,805,110,
361,706,222,332,631,435,464,443,673,738,590,980,553,320,754,703,186,147,999,
360,208,916,031,198,846,733,548,515,991,062,499,825,123,898,165,144,056,002,
417,577,740,211,355,837,492,428,735,902,741,918,657,373,735,427,296,333,881,
029,340,426,306,982,289,151,751,565,747,620,289,151,913,733,498,295,253,749,
407,712,655,803,104,847,521,943,896,728,885,017,880,961,284,149,884,207,115,
072,013,577,533,717,573,054,120,604,987,553,640,634,565,598,027,652,766,269,
402,532,334,983,731,124,702,827,181,770,065,362,437,557,441,709,621,096,880,
688,116,207,546,737,576,134,557,053,297,335,312,461,812,953,269,013,620,428,
588,624,061,734,667,871,027,174,243,173,166,241,257,905,822,318,801,448,561,
804,982,325,495,247,790,989,258,559,682,490,515,188,882,712,660,665,947,928,
235,253,479,132,635,729,435,103,243,577,834,793,467,743,986,512,361,402,801,
607,683,615,848,398,467,963,222,655,332,932,661,354,357,007,243,768,823,130,
336,171,933,001,369,672,431,238,897,474,438,266,860,115,392,916,393,555,175,
286,355,750,613,744,748,431,832,489,307,833,063,962,103,228,890,689,887,685,
410,439,652,857,759,686,616,935,967,594,300,703,604,953,101,170,840,086,135,
034,879,333,769,298,735,953,873,557,921,037,184,967,320,030,200,111,270,883,
729,616,823,375,423,493,269,848,453,576,159,326,502,307,899,139,738,989,749,
508,392,911,317,032,452,097,366,415,866,114,465,989,119,705,824,021,335,753,
136,894,844,544,877,459,353,202,884,982,188,626,240,337,857,841,023,399,890,
559,033,900,289,432,224,999,434,101,673,751,175,743,216,217,729,655,891,848,
837,206,391,720,603,804,880,946,651,799,907,536,208,554,421,628,398,373,042,
830,632,149,171,526,673,647,644,046,346,335,221,065,182,583,858,933,775,482,
836,167,591,327,217,614,159,712,758,032,257,183,347,139,895,038,149,758,116,
633,529,422,698,314,870,648,826,219,714,076,779,068,981,524,189,606,435,104,
472,699,786,747,376,189,473,007,395,632,470,301,937,591,987,802,593,145,635,
978,922,720,478,432,677,396,900,031,906,718,501,441,210,207,396,290,264,621,
596,525,097,253,550,832,097,984,785,697,076,669,349,881,911,753,611,323,982,
011,145,928,238,951,056,724,757,180,389,122,503,901,146,633,127,866,287,176,
503,216,366,590,239,951,941,761,758,965,627,062,909,023,687,888,362,386,139,
883,482,347,670,710,689,796,346,071,678,786,362,589,001,312,217,503,862,024,
552,669,233,142,216,234,520,216,162,076,558,706,388,445,643,026,329,441,278,
683,687,675,347,642,918,829,573,572,960,045,195,343,917,445,037,169,747,895,
566,508,589,918,033,245,188,414,101,480,888,137,292,582,618,575,443,575,364,
170,699,887,797,700,682,597,269,918,588,521,293,432,505,227,164,465,202,071,
993,463,365,720,203,257,028,167,176,918,702,957,565,183,715,298,493,278,414,
136,649,730,065,210,875,817,668,974,882,967,789,268,451,681,731,317,712,430,
008,386,683,233,905,183,212,536,302,676,963,759,073,360,069,021,788,808,292,
221,620,023,646,367,060,306,735,443,450,115,869,246,179,018,764,970,839,443,
695,289,936,599,135,636,023,573,548,881,198,087,690,962,619,597,745,128,710,
643,113,532,905,936,869,925,528,997,521,928,503,753,297,785,743,461,453,333,
803,968,999,779,798,141,443,806,995,797,804,055,043,401,422,213,239,071,609,
172,646,874,274,129,851,403,216,414,239,763,086,730,570,287,990,574,686,685,
719,607,895,888,397,790,011,810,261,934,209,255,791,935,135,208,587,740,186,
912,679,472,483,096,626,417,811,794,078,456,484,297,760,253,605,510,179,971,
350,659,362,363,204,001,660,509,142,890,232,282,958,626,598,158,723,500,945,
926,589,875,535,938,069,964,179,923,004,305,325,683,006,445,213,328,627,499,
216,662,413,069,181,245,032,692,584,835,520,121,239,288,540,286,952,053,585,
887,371,131,775,083,730,877,742,745,193,177,870,694,166,360,951,518,502,580,
234,182,620,549,461,045,599,843,875,682,130,991,493,379,551,247,918,246,929,
528,756,795,647,843,381,313,554,073,095,179,246,326,700,334,039,742,244,186,
111,783,132,736,930,940,948,261,264,433,850,135,683,813,403,844,857,511,961,
096,650,646,667,468,408,713,879,187,736,611,594,106,652,157,734,043,681,133,
220,163,400,372,026,142,603,928,653,383,257,584,521,611,695,441,502,365,147,
225,759,790,041,042,657,627,976,241,504,567,826,112,786,545,804,563,900,595,
949,456,156,979,150,205,190,582,172,249,920,069,374,395,267,540,281,227,935,
480,837,171,324,876,008,193,119,141,945,971,241,270,145,138,057,764,976,249,
828,959,510,924,977,006,072,957,529,587,396,443,093,410,286,391,596,172,821,
933,744,961,962,788,584,165,531,059,800,326,642,631,863,486,416,936,660,959,
464,248,105,486,962,857,127,341,863,664,853,135,198,096,282,208,332,361,295,
975,489,557,500,830,918,542,128,097,225,197,624,541,291,887,077,303,635,264,
996,462,914,344,295,010,621,037,786,121,236,735,642,982,993,956,623,281,316,
632,361,707,168,511,048,191,455,951,989,948,120,371,317,498,857,723,191,363,
288,212,798,819,791,773,387,588,544,266,582,292,017,856,215,768,436,764,089,
072,167,448,757,260,561,142,414,323,979,186,221,864,738,673,588,713,740,943,
224,954,330,797,697,889,561,727,054,113,073,253,296,643,635,857,887,731,046,
165,252,222,067,852,284,101,998,564,693,877,467,950,585,165,530,363,308,079,
407,045,761,480,509,028,276,973,691,774,310,327,311,400,890,847,033,443,199,
046,800,240,804,306,440,242,799,424,954,903,861,101,049,394,221,796,014,193,
743,127,912,127,242,946,408,048,166,408,956,543,273,478,979,847,881,695,545,
902,010,111,030,106,435,437,985,489,738,419,914,882,304,107,327,090,798,627,
812,614,689,969,130,285,298,545,781,278,287,434,097,107,688,529,470,427,764,
303,635,855,875,296,928,791,910,821,529,343,214,274,907,222,270,051,278,550,
560,731,956,708,652,922,380,673,159,427,106,706,171,759,747,300,964,194,146,
489,119,462,285,744,818,194,588,870,081,545,621,876,240,968,396,032,567,573,
417,112,984,112,792,344,124,668,594,553,960,674,990,289,937,660,668,745,570,
690,678,276,868,618,970,595,981,239,098,737,924,306,796,202,416,876,287,198,
174,275,892,111,939,311,851,751,180,479,051,585,475,091,793,461,318,438,961,
516,765,972,097,205,619,597,376,589,862,220,745,256,280,214,264,666,462,214,
047,180,028,720,665,272,099,983,768,997,640,979,834,007,973,811,047,445,046,
410,354,793,892,448,013,847,702,430,345,900,833,071,423,225,438,572,284,719,
457,819,560,067,241,611,348,365,621,786,088,147,218,508,076,364,999,918,325,
283,612,433,192,082,820,887,923,259,226,730,734,186,058,496,731,204,971,189,
038,197,535,737,463,192,137,436,255,521,771,934,385,637,163,340,413,775,807,
979,391,411,941,038,373,527,584,990,380,823,232,537,420,425,403,636,976,330,
913,525,418,038,343,050,725,963,966,033,457,066,044,664,463,196,635,232,964,
908,538,795,718,063,798,937,315,201,674,648,282,371,533,528,049,971,286,177,
154,447,335,336,486,121,040,511,375,451,639,040,520,692,447,867,451,493,252,
890,728,906,473,681,190,501,431,734,803,987,013,598,259,456,309,449,958,705,
917,122,631,753,490,844,628,088,120,729,428,481,563,650,605,571,475,009,791,
840,826,497,839,453,424,739,928,365,491,694,852,355,745,982,349,465,964,916,
602,654,579,144,165,808,031,090,180,372,838,464,359,495,903,509,383,679,779,
661,245,310,015,445,692,735,592,689,936,000,177,117,219,553,210,543,052,856,
264,938,109,463,242,547,803,513,841,803,112,248,730,967,128,796,836,981,751,
614,199,651,776,956,460,577,847,510,075,016,251,031,941,985,527,181,647,201,
635,957,350,855,346,573,444,621,800,357,900,296,172,628,081,627,919,523,199,
382,246,546,768,100,864,170,752,973,673,355,359,412,871,391,476,899,755,345,
178,841,515,872,949,466,140,749,780,080,253,426,058,786,102,688,487,332,488,
287,093,460,001,400,213,418,749,623,307,257,289,875,831,310,311,329,473,156,
237,042,697,600,699,244,883,561,583,212,119,089,643,568,739,700,078,972,981,
081,103,956,948,293,425,161,170,130,297,996,873,328,233,538,810,564,360,872,
904,222,245,128,555,813,185,850,931,848,717,956,447,249,767,323,187,507,136,
877,125,963,678,425,212,416,428,855,516,170,737,135,424,563,990,633,728,000,
736,306,973,245,217,672,161,889,330,725,638,580,486,520,344,021,014,814,222,
010,633,766,622,586,582,567,086,384,329,896,338,595,719,852,109,752,544,991,
936,851,861,547,434,829,201,863,103,872,337,875,482,171,027,917,988,480,476,
453,517,875,399,234,134,063,320,020,626,090,885,022,147,355,232,301,088,010,
233,543,375,168,302,303,905,108,387,883,247,115,520,127,721,543,454,179,542,
112,233,832,942,880,081,781,945,577,305,821,414,399,627,818,425,279,911,690,
726,868,202,295,330,467,972,486,701,481,294,753,037,011,679,336,610,684,997,
820,557,108,605,118,416,264,326,549,986,469,228,657,147,913,899,436,972,046,
697,019,421,107,007,726,778,447,823,489,212,931,900,714,221,909,991,448,156,
660,294,321,590,539,674,769,720,477,497,271,315,476,641,158,741,573,595,095,
429,658,044,583,161,019,003,846,388,174,874,592,875,021,883,437,327,456,570,
633,790,215,335,969,212,127,693,470,485,810,355,207,257,367,774,310,904,429,
345,958,557,293,809,659,259,748,178,922,725,338,079,714,215,595,720,272,892,
144,885,030,086,834,049,098,818,376,803,222,728,324,169,965,823,149,958,895,
035,558,921,676,762,212,535,759,371,263,906,115,409,665,801,683,992,849,739,
907,889,717,946,214,384,291,592,423,316,105,258,533,179,062,467,353,040,565,
595,187,288,002,837,487,046,800,726,259,184,529,617,107,170,478,219,145,800,
022,380,320,479,419,922,094,086,014,049,736,058,469,682,467,126,133,769,377,
751,764,727,835,619,682,947,026,286,777,105,471,657,977,971,003,460,356,322,
179,135,131,240,760,197,471,812,511,638,557,252,226,370,175,411,303,824,676,
499,104,850,682,316,366,326,225,869,160,829,575,507,495,072,525,370,098,844,
780,143,798,832,511,797,107,970,513,124,716,027,233,799,656,347,223,103,174,
018,833,535,669,016,671,633,660,988,280,386,026,112,588,027,671,517,261,445,
772,807,983,962,049,749,879,756,324,086,867,801,219,379,218,933,012,351,499,
318,616,543,695,547,682,163,544,077,643,245,106,945,920,754,999,644,861,962,
700,827,045,411,207,843,011,348,541,662,079,327,978,444,770,677,922,493,917,
089,259,092,007,641,158,345,668,577,862,794,649,250,668,628,696,163,832,500,
417,555,396,592,280,365,024,360,316,810,247,037,736,986,026,002,923,030,927,
689,260,727,647,686,065,892,594,056,506,242,743,965,528,434,442,901,912,465,
754,811,927,924,583,771,952,086,769,206,013,196,487,502,556,270,882,446,858,
698,048,589,910,940,624,189,290,158,965,352,873,658,290,251,588,660,302,513,
827,895,076,915,463,196,296,088,580,637,316,381,885,171,978,245,942,328,782,
810,455,882,740,942,213,865,180,418,047,335,834,679,689,025,314,571,039,373,
679,472,655,393,267,411,688,023,519,861,102,385,404,455,918,923,035,754,894,
003,079,157,164,413,220,298,403,617,948,231,883,943,908,515,135,748,691,957,
465,851,943,298,570,686,275,607,590,472,466,473,772,496,168,353,928,334,789,
775,841,130,735,295,795,492,074,395,947,424,922,394,819,738,891,318,063,332,
461,540,649,664,149,717,266,867,550,456,126,077,604,382,607,117,371,771,482,
152,098,410,266,404,490,129,025,770,872,683,178,157,182,594,244,902,741,142,
629,957,552,605,067,258,109,217,577,174,349,896,470,793,230,005,321,337,446,
524,608,323,945,180,443,867,610,648,911,660,642,207,127,105,110,408,641,596,
803,384,093,871,261,563,713,481,700,704,545,166,215,491,828,918,859,826,158,
996,963,378,895,771,206,191,073,231,731,820,703,038,402,547,340,557,526,273,
602,029,175,057,819,998,348,652,871,826,228,245,094,456,784,160,193,298,866,
558,036,490,209,676,358,274,263,530,282,341,433,651,872,873,404,951,320,648,
769,471,566,384,515,756,068,247,647,834,238,707,710,204,857,296,771,433,224,
741,012,158,962,137,025,856,464,024,312,128,207,540,177,903,163,935,703,002,
486,127,228,524,488,373,008,740,597,175,117,403,496,260,716,075,128,581,066,
860,553,829,702,399,983,036,948,933,848,603,186,025,950,041,138,557,484,241,
278,536,811,812,023,317,220,823,922,346,017,750,496,124,524,455,221,516,672,
873,953,443,510,737,081,028,986,773,160,064,896,341,345,266,878,936,432,231,
592,161,112,199,842,185,053,081,161,066,756,563,823,732,412,563,163,349,864,
221,269,328,521,497,993,351,422,169,778,887,132,685,099,762,426,042,996,295,
809,325,223,122,571,641,415,144,689,264,239,119,409,241,786,244,256,387,354,
864,188,864,330,701,529,062,253,588,436,121,628,699,076,730,407,165,664,378,
543,199,004,530,461,546,112,268,464,443,343,200,608,273,730,187,772,845,290,
265,829,514,250,347,594,620,996,680,799,665,443,515,331,497,276,015,542,516,
138,998,058,513,829,608,613,557,463,640,848,654,959,696,454,674,811,692,832,
745,276,367,648,241,558,143,574,562,181,115,112,360,028,179,170,431,800,099,
484,106,680,542,294,037,646,648,847,797,067,671,303,773,517,787,412,112,646,
418,347,313,420,251,743,824,759,011,874,107,922,536,393,231,224,870,313,039,
846,119,271,013,834,230,125,839,311,154,308,770,387,789,774,094,910,990,394,
862,613,276,859,302,640,641,277,294,805,374,015,993,826,682,620,432,236,023,
598,087,407,056,871,024,699,927,560,289,999,883,373,733,768,866,776,344,529,
843,068,639,677,775,550,396,116,414,014,379,355,749,593,772,375,649,459,263,
542,886,868,655,263,753,470,641,728,544,069,100,884,578,099,104,095,940,298,
407,504,347,740,575,055,040,529,423,590,490,535,153,067,182,883,855,021,666,
572,345,056,063,527,321,632,576,160,006,441,914,315,517,386,906,105,356,956,
264,796,133,679,057,070,047,659,715,039,409,740,683,361,796,945,480,640,968,
418,468,480,913,252,922,272,864,826,083,654,684,685,080,899,087,986,270,087,
688,772,875,249,918,264,042,736,120,996,849,501,600,514,976,312,462,526,889,
390,034,573,430,073,462,035,565,257,099,792,510,694,958,830,606,757,910,319,
747,570,489,281,948,491,823,056,400,227,768,980,501,434,993,997,132,301,955,
211,125,083,903,339,639,254,476,951,771,922,424,133,410,511,413,935,188,187,
097,587,466,813,053,441,873,120,181,884,159,199,553,394,265,207,179,151,740,
295,946,686,412,895,141,585,856,146,576,108,652,080,807,204,105,712,353,856,
262,915,704,718,761,563,496,952,082,833,025,363,092,301,888,821,420,168,484,
377,740,820,058,227,322,728,018,289,012,967,481,304,917,532,484,221,679,101,
795,299,631,629,746,980,821,417,058,900,001,936,241,522,727,715,763,204,417,
464,510,349,431,727,616,419,746,022,588,218,865,147,579,695,797,282,044,731,
338,617,007,927,528,849,761,436,633,397,241,566,373,560,534,327,819,811,075,
178,882,016,485,104,894,762,191,273,904,398,550,688,177,375,289,458,537,168,
686,353,431,497,315,869,258,139,903,397,071,772,838,968,318,815,970,002,804,
918,977,984,875,738,729,405,506,107,792,510,995,934,729,148,440,453,376,765,
139,084,698,301,371,505,285,161,793,764,284,925,981,050,614,485,547,756,842,
266,450,135,482,331,724,334,589,224,774,973,575,422,851,898,796,925,199,270,
143,945,185,154,560,152,810,322,828,918,056,431,688,239,018,558,861,247,367,
586,828,917,510,087,810,584,518,371,943,166,687,900,608,872,395,787,459,722,
670,939,170,194,914,865,013,415,870,852,020,080,787,764,353,265,536,464,527,
815,786,186,664,750,894,114,971,868,867,087,149,638,255,953,853,162,077,021,
423,518,834,037,223,595,356,231,823,599,155,064,699,499,506,352,339,241,536,
985,009,375,121,993,048,886,791,586,506,373,844,353,780,251,965,165,289,022,
389,100,877,670,462,617,676,795,774,574,247,416,315,749,360,114,323,025,369,
275,356,981,929,705,501,162,119,690,800,651,011,361,180,912,712,294,806,012,
684,491,225,543,356,534,672,947,094,824,414,046,161,516,035,373,227,074,121,
673,325,176,858,271,539,913,770,022,339,672,613,480,217,691,620,637,735,007,
506,661,295,245,953,046,048,472,996,601,976,164,912,222,274,947,143,295,247,
368,738,346,053,097,203,874,180,421,859,291,439,810,822,794,076,327,513,130,
473,032,153,439,948,923,394,790,829,159,827,907,653,631,275,874,684,785,128,
606,769,797,574,839,380,781,649,200,890,607,237,277,793,833,190,906,604,896,
531,238,740,207,284,386,029,821,832,875,724,482,994,348,435,077,578,104,117,
893,594,137,153,145,777,672,760,485,997,099,878,902,914,727,790,826,953,148,
966,133,728,821,877,492,936,407,673,256,378,277,989,016,859,682,084,972,671,
991,471,180,994,627,241,807,222,269,594,464,532,539,176,346,201,515,765,892,
893,419,420,800,221,412,736,268,937,888,809,209,820,430,064,250,798,457,814,
517,626,542,294,002,270,684,272,324,285,156,398,052,471,203,578,272,606,764,
308,173,790,632,568,516,095,198,629,734,776,748,776,546,499,946,583,405,969,
034,386,427,634,102,360,617,370,658,443,260,432,618,728,039,185,074,062,641,
320,216,392,671,949,690,131,015,307,390,672,150,579,629,259,565,139,973,955,
459,500,887,807,295,160,755,521,593,788,376,716,381,549,335,750,994,615,835,
657,489,367,750,115,515,271,925,494,268,262,086,855,137,930,446,869,627,325,
817,958,287,795,443,805,431,777,084,219,372,332,582,467,656,828,858,114,868,
409,076,752,079,210,981,063,151,740,350,899,723,922,357,414,787,162,833,305,
319,898,928,346,885,097,551,178,063,951,055,500,278,911,076,760,297,646,528,
590,368,584,021,286,744,516,233,790,296,776,375,629,637,614,584,537,947,059,
969,964,115,251,246,426,892,836,372,730,487,928,241,548,349,020,122,738,717,
476,831,650,673,747,560,458,255,815,860,279,726,152,118,619,967,709,431,177,
715,886,422,269,592,288,455,573,793,101,549,315,270,276,033,579,517,304,974,
633,416,875,281,114,228,486,062,956,786,924,419,419,712,258,323,278,465,356,
517,472,125,302,571,474,028,279,037,532,995,677,203,390,952,248,450,545,446,
929,299,021,527,979,204,357,135,195,330,317,902,321,069,062,059,549,771,108,
755,555,020,424,615,960,915,103,855,648,160,963,250,158,189,798,245,128,594,
823,162,478,237,264,648,951,322,484,241,896,683,882,318,680,182,328,851,455,
256,309,194,386,039,355,932,857,562,467,407,827,620,153,390,309,293,388,808,
568,623,107,194,210,401,351,905,645,057,395,360,767,539,997,193,730,439,689,
006,985,928,439,710,691,551,265,930,321,247,746,186,405,616,209,612,142,506,
996,248,603,173,752,598,681,389,556,142,824,395,415,699,252,649,310,222,994,
990,443,696,007,476,791,013,780,055,991,037,952,707,592,676,384,878,003,164,
894,048,048,655,287,105,264,661,996,886,279,859,279,969,194,674,689,740,752,
644,587,275,722,782,203,057,743,796,539,707,571,114,169,018,930,487,319,983,
546,680,044,650,940,766,584,418,558,224,212,174,299,408,744,308,166,753,623,
987,728,902,196,852,517,621,122,610,303,511,417,674,163,367,495,281,014,916,
912,313,562,686,048,088,519,168,787,506,252,978,384,924,545,967,989,142,853,
912,874,164,060,982,822,704,645,403,461,690,028,592,809,511,641,370,447,668,
298,285,077,386,395,085,594,182,784,421,899,886,873,908,524,299,156,112,818,
334,566,241,333,246,648,825,754,771,341,892,078,240,124,729,810,890,924,153,
795,577,122,752,028,034,440,544,778,769,271,339,670,992,702,205,091,017,425,
484,938,530,530,678,817,768,322,064,223,264,034,345,773,017,385,175,246,340,
823,907,116,342,673,280,813,174,555,948,572,125,506,662,508,216,863,146,525,
454,706,215,884,827,965,928,761,291,189,280,941,852,205,689,939,963,655,691,
982,719,622,971,330,731,579,327,501,992,156,915,464,989,543,124,828,158,935,
764,332,380,137,812,209,310,160,184,899,875,618,893,464,298,929,575,580,070,
518,326,161,522,587,610,460,199,026,718,805,678,380,493,522,662,955,214,237,
332,999,396,235,424,793,866,279,998,792,154,769,264,820,498,744,261,067,577,
630,969,563,761,405,141,438,156,302,816,000,986,715,272,278,230,406,057,053,
168,047,641,533,067,448,831,745,115,642,879,764,624,076,327,313,031,123,514,
025,322,997,922,702,114,467,635,736,339,427,719,976,901,028,197,201,575,320,
665,243,237,109,226,136,364,722,006,099,623,643,657,759,353,681,963,058,867,
419,365,601,860,114,908,040,183,455,426,993,916,345,717,198,606,987,703,086,
591,021,512,761,903,321,638,395,564,941,212,274,580,335,576,620,374,506,753,
517,923,684,282,614,282,153,824,795,114,653,890,376,766,150,254,908,137,624,
078,126,675,954,040,108,453,298,644,867,807,838,913,192,231,961,003,181,900,
286,249,431,945,466,606,036,769,408,163,282,925,251,613,300,531,751,091,109,
093,690,312,812,038,296,829,588,083,610,794,224,150,736,655,001,890,568,145,
490,648,643,210,823,372,616,499,476,247,248,284,318,374,789,966,949,183,078,
586,484,569,493,318,284,654,504,180,943,145,366,610,451,790,969,128,275,053,
921,309,423,683,437,287,796,587,039,791,457,459,230,046,798,150,989,937,049,
834,871,769,690,589,094,046,344,229,224,715,064,410,156,033,057,202,597,229,
133,493,452,891,896,918,654,060,778,071,937,198,215,957,796,360,532,417,958,
847,477,141,680,334,528,630,691,633,681,149,847,690,964,959,558,151,933,090,
561,945,648,429,710,759,488,026,614,812,563,278,042,315,833,468,100,416,310,
152,406,371,371,366,046,057,051,231,603,167,345,680,496,050,471,458,915,310,
326,096,884,711,794,075,489,585,414,926,381,131,243,745,553,299,358,449,108,
537,628,524,249,673,372,727,206,112,875,949,136,504,155,711,677,779,467,402,
045,562,078,282,571,335,412,059,438,624,191,396,143,207,271,067,159,346,106,
889,220,090,877,287,847,475,737,075,024,789,503,875,958,096,367,188,941,873,
880,841,241,629,351,369,763,147,490,305,290,231,627,529,611,830,851,105,109,
007,693,109,615,194,241,417,297,763,825,326,639,820,086,200,048,568,737,198,
884,697,196,561,120,662,145,247,692,283,271,148,482,599,681,029,272,499,955,
497,534,397,482,415,730,651,014,023,507,619,838,714,450,513,797,333,418,110,
915,404,137,100,113,665,727,730,972,077,694,435,723,203,835,525,112,693,628,
909,920,465,094,477,727,922,525,881,858,410,208,516,587,878,114,070,871,208,
281,990,155,373,497,514,081,079,158,617,731,093,321,025,487,168,949,685,353,
155,443,473,587,042,911,690,187,860,276,766,235,513,341,777,030,464,644,846,
438,633,115,874,334,420,461,265,237,753,799,580,344,425,111,140,654,787,244,
700,439,929,196,104,856,272,751,536,225,074,339,992,018,469,262,636,976,486,
898,258,774,431,889,701,435,382,835,519,411,898,317,893,385,150,157,510,059,
356,266,498,661,309,846,693,036,774,149,911,823,843,712,125,378,638,821,210,
703,174,245,340,597,376,230,550,135,287,475,010,140,047,197,299,566,824,533,
380,255,425,221,677,519,575,788,654,186,005,815,041,617,512,792,739,308,314,
919,063,371,598,262,656,042,252,934,123,360,212,183,027,245,154,750,327,734,
700,720,217,013,229,642,432,785,001,916,660,848,298,445,792,104,824,419,598,
584,444,620,523,272,142,416,470,997,558,614,040,553,499,619,365,787,202,763,
653,648,680,051,675,369,127,988,360,900,724,183,585,693,224,601,298,994,862,
538,807,526,434,946,173,697,921,685,350,256,766,162,987,840,886,149,257,380,
590,167,961,223,352,394,655,306,726,134,219,137,441,677,475,657,318,243,484,
854,555,226,177,167,835,507,402,238,258,962,629,300,512,073,527,412,617,582,
284,985,393,115,614,567,744,263,008,080,337,870,082,944,238,237,168,175,772,
448,342,845,375,751,987,829,067,193,002,404,873,161,125,992,329,564,586,060,
597,705,476,966,343,019,399,138,217,185,042,018,095,435,676,871,016,599,015,
744,638,833,697,658,410,009,193,183,295,729,334,423,373,863,727,951,915,954,
624,558,992,011,233,890,261,360,857,008,392,665,425,153,472,913,211,933,769,
007,432,978,955,762,208,053,419,971,936,887,459,878,746,612,107,878,357,385,
908,403,108,128,560,210,590,853,365,842,690,278,379,263,707,337,515,508,877,
651,261,411,767,999,843,478,586,093,036,606,049,760,369,761,952,023,345,248,
190,568,987,223,350,945,228,079,561,934,797,830,487,963,875,355,576,071,958,
814,136,261,559,079,531,970,841,972,686,227,171,093,975,180,469,789,173,463,
673,944,249,074,409,128,139,539,886,139,640,723,510,279,772,230,032,064,058,
407,396,071,665,856,610,957,916,654,114,565,957,264,077,227,995,735,471,287,
178,831,923,509,469,211,552,248,195,195,565,201,141,276,135,188,218,282,890,
495,363,652,732,227,707,411,892,562,522,153,640,441,199,910,233,746,016,055,
256,024,026,019,628,509,930,031,920,652,061,537,189,163,072,469,751,585,244,
732,072,471,285,612,506,926,170,716,373,593,841,643,522,856,921,664,269,367,
014,830,111,970,284,215,063,121,038,432,669,050,846,458,232,432,245,477,719,
999,822,919,130,428,436,464,169,852,731,591,304,506,782,594,099,657,289,721,
966,083,916,126,689,766,492,551,869,891,095,716,980,183,809,682,429,212,002,
330,633,361,666,967,526,561,627,083,192,533,312,326,040,700,393,529,943,736,
587,411,892,199,453,300,948,585,001,200,641,074,009,105,778,785,483,513,054,
715,467,148,703,215,866,668,644,611,161,681,689,819,124,260,600,433,537,772,
915,531,065,389,252,865,704,673,807,841,411,199,774,378,467,712,593,825,304,
204,317,712,385,576,938,131,503,363,395,816,476,643,145,349,375,480,174,112,
150,240,976,099,296,671,558,414,677,250,978,098,225,635,767,666,490,610,390,
202,449,152,112,656,854,785,506,123,116,286,798,999,298,762,126,720,837,668,
130,808,660,577,955,880,620,511,966,359,255,414,702,682,929,741,871,751,550,
035,920,703,509,781,917,427,733,850,678,399,536,127,525,112,222,191,494,545,
682,402,732,459,620,347,380,841,980,903,763,773,701,709,819,516,760,694,758,
213,960,796,934,479,799,638,727,096,658,152,609,815,277,906,837,776,833,488,
635,834,352,013,193,711,367,082,965,273,292,379,671,171,863,419,785,548,897,
829,320,384,678,359,404,666,151,525,711,632,632,534,346,721,622,117,221,695,
213,765,582,297,037,629,971,904,253,033,077,648,196,725,491,213,021,405,972,
484,936,186,707,356,212,185,532,615,957,306,012,558,269,903,369,873,967,253,
207,781,526,513,014,345,972,553,517,021,449,218,744,583,748,090,131,793,747,
009,659,231,351,676,330,060,710,721,997,506,080,739,993,274,763,315,203,548,
698,777,504,832,538,014,366,644,905,475,595,450,518,632,009,528,148,976,537,
376,606,779,017,807,071,551,790,904,861,137,479,214,510,426,562,684,059,865,
200,923,840,422,433,119,012,434,291,187,410,513,747,997,158,980,260,220,206,
126,111,569,266,552,083,749,023,119,345,383,248,818,404,399,594,126,523,260,
826,116,414,173,161,548,980,200,874,715,335,807,613,974,354,057,966,347,123,
447,018,042,153,393,920,163,290,247,755,448,869,231,858,003,878,334,563,272,
153,531,803,720,063,234,787,608,232,109,188,872,606,471,918,785,766,482,544,
623,803,670,950,587,452,790,771,919,119,046,706,846,006,841,921,493,396,738,
603,744,420,253,066,090,773,055,402,324,363,556,438,202,080,377,670,813,038,
167,216,185,162,644,610,551,272,696,764,869,684,535,196,488,802,245,942,055,
959,734,640,924,431,085,473,334,348,074,998,317,212,468,416,659,348,117,379,
502,395,827,641,524,247,738,547,541,231,854,922,962,164,720,169,346,958,575,
375,009,248,271,136,740,773,195,370,213,275,414,138,866,455,242,190,827,239,
735,099,476,973,257,950,694,392,241,315,149,311,713,078,849,976,919,095,085,
981,228,952,391,824,517,382,571,284,070,854,529,552,712,932,866,642,161,426,
163,672,560,760,807,090,011,058,158,612,211,638,735,247,046,607,049,737,148,
606,142,968,880,712,455,009,930,450,149,812,425,526,950,724,204,640,898,888,
450,019,834,844,174,615,810,354,380,841,387,954,975,411,294,338,246,460,685,
166,015,145,674,331,133,664,945,507,331,849,494,558,522,516,935,371,766,957,
343,169,006,706,275,566,813,620,670,133,376,170,909,091,344,550,017,287,100,
123,201,940,031,875,792,686,439,043,206,211,507,799,228,042,980,191,825,338,
001,348,054,153,531,860,302,945,377,276,883,829,952,694,690,866,568,102,169,
093,129,617,783,809,277,789,021,311,076,870,236,755,763,964,355,051,971,301,
199,744,770,048,612,826,713,907,593,315,562,153,168,086,786,947,619,868,658,
123,607,980,381,245,053,390,658,895,045,942,288,163,430,223,758,508,996,803,
739,645,252,606,551,303,912,838,627,354,926,019,562,997,283,536,088,718,842,
072,182,254,705,579,858,606,454,135,254,652,303,348,785,003,891,613,556,616,
704,397,981,367,610,149,334,671,376,290,980,965,816,648,850,885,617,555,825,
311,605,139,043,961,983,140,701,243,790,802,788,165,092,545,868,299,196,884,
737,222,466,465,742,112,520,618,401,395,111,668,689,490,551,117,671,030,102,
760,319,483,827,155,515,557,855,552,347,482,634,112,391,275,128,968,570,143,
368,924,114,842,999,649,520,634,342,786,029,189,135,338,945,209,162,922,680,
483,051,629,710,113,845,056,443,244,930,322,714,517,840,186,140,350,385,105,
135,670,012,316,031,460,945,427,164,687,255,457,903,306,264,656,273,214,457,
774,814,192,607,804,020,512,618,969,661,582,413,695,736,980,151,660,388,682,
887,024,768,345,603,818,880,495,575,593,188,731,354,444,742,978,824,863,072,
332,445,247,877,419,380,787,721,374,585,931,846,525,682,752,849,367,062,722,
412,110,765,035,390,242,571,475,127,707,973,226,506,993,200,221,248,059,509,
676,555,403,593,403,724,948,179,630,105,931,184,997,505,782,684,695,814,207,
628,170,087,875,345,251,253,172,445,609,410,475,256,282,525,525,914,296,673,
954,705,735,502,559,760,424,519,117,404,627,423,453,561,931,640,380,790,536,
319,263,984,643,486,979,570,326,141,319,186,717,737,530,143,184,516,741,502,
906,418,333,190,078,953,123,892,643,334,422,409,554,060,826,365,596,884,306,
744,169,041,805,313,737,378,052,250,126,967,172,099,772,743,418,369,111,045,
772,083,027,504,173,587,056,409,955,817,878,336,491,098,876,822,310,330,562,
657,875,819,549,997,168,401,412,286,857,374,834,073,465,294,894,910,670,641,
269,051,759,145,461,388,651,868,303,260,701,202,224,534,398,195,879,563,339,
566,832,377,246,128,653,023,869,384,781,038,423,685,937,543,931,332,137,345,
452,926,249,244,198,846,784,729,811,034,243,969,645,240,154,938,007,955,365,
512,938,835,017,596,922,998,310,350,633,770,527,882,301,557,648,102,902,706,
534,847,285,630,307,004,977,310,573,609,024,180,182,810,082,334,500,039,076,
483,957,742,058,608,091,555,607,696,718,590,103,068,115,128,468,600,649,565,
252,622,398,821,423,709,705,088,967,620,987,858,953,218,026,661,071,551,505,
886,539,825,077,974,463,617,782,073,453,328,425,445,884,767,940,896,920,624,
873,105,507,509,021,977,225,350,195,596,506,301,285,292,279,735,236,010,618,
320,787,720,234,857,345,290,924,695,531,756,462,358,672,409,397,575,584,560,
127,489,522,971,073,779,726,304,386,713,768,634,632,229,827,221,903,673,268,
515,751,475,142,844,705,194,024,876,751,207,479,579,054,952,125,705,365,733,
241,361,685,930,922,452,790,902,531,902,581,228,341,803,443,724,324,582,056,
126,821,346,808,987,923,681,537,353,153,085,554,455,050,601,875,780,625,882,
157,885,395,996,203,809,126,067,964,894,001,226,010,044,835,490,434,611,038,
124,103,042,350,383,638,253,717,745,095,456,311,355,739,118,594,350,760,693,
531,895,221,331,222,409,980,881,084,359,058,101,810,324,283,757,663,931,903,
276,322,605,852,331,871,471,666,477,689,472,442,386,822,870,545,647,441,672,
754,559,913,802,018,946,423,210,688,464,465,869,454,532,073,375,825,466,512,
284,136,857,972,287,706,150,532,666,292,189,073,766,634,555,757,176,127,618,
793,551,957,157,869,660,579,230,875,232,849,522,908,182,545,192,017,406,310,
314,029,158,318,906,988,203,755,620,065,422,183,199,203,380,520,937,504,078,
461,448,096,571,049,743,194,613,667,340,803,487,879,417,349,431,216,817,585,
863,547,904,755,639,180,184,161,921,997,635,164,205,669,508,323,204,821,351,
099,499,525,591,153,927,669,073,105,350,078,887,746,818,562,911,660,856,881,
054,939,430,061,738,337,521,879,482,308,630,317,166,646,502,453,480,851,127,
293,173,831,521,188,251,510,590,459,813,390,443,507,956,365,900,146,492,635,
739,868,386,553,404,881,983,059,120,382,382,659,869,811,051,344,950,555,529,
253,335,126,458,504,553,171,336,647,594,821,438,765,008,044,212,975,406,100,
585,790,686,686,117,844,225,007,231,853,696,627,467,571,676,669,784,370,707,
870,000,094,661,864,173,309,509,353,132,085,416,203,562,360,441,039,556,880,
918,393,277,709,547,927,606,997,867,025,891,741,319,535,968,600,905,498,314,
758,637,251,430,840,017,533,677,535,299,070,384,125,660,034,949,444,649,985,
175,970,970,967,424,316,690,568,074,087,759,833,498,107,039,488,084,191,300,
141,450,723,572,866,327,102,212,657,744,427,522,599,289,096,176,912,588,927,
717,978,474,946,575,872,563,645,140,439,571,920,035,387,549,709,361,278,485,
869,448,112,937,984,017,661,818,255,184,727,948,521,641,642,376,350,727,641,
181,546,689,015,007,510,905,292,411,110,111,607,786,147,922,225,012,798,665,
661,353,681,132,221,479,567,186,367,318,681,711,058,538,143,923,283,342,155,
085,979,383,229,108,724,381,565,013,078,340,670,639,595,945,219,590,128,944,
785,699,639,746,099,484,626,965,386,147,191,483,867,981,927,164,612,941,458,
547,963,446,248,465,007,130,335,106,527,217,314,860,490,011,272,893,906,757,
273,248,858,190,582,259,079,238,192,450,957,296,296,657,934,406,859,907,847,
148,244,253,029,133,663,713,493,347,139,869,438,615,370,004,926,309,024,294,
828,985,150,885,360,919,356,491,863,553,641,678,495,508,470,538,486,873,795,
588,101,829,259,187,632,138,884,516,327,921,700,879,750,472,295,970,913,284,
408,487,378,372,357,928,065,854,444,560,476,972,774,419,115,926,954,379,823,
216,102,234,568,369,913,796,679,282,725,465,872,887,237,403,488,780,231,822,
499,325,078,517,390,845,017,186,842,973,231,434,478,944,466,774,446,097,623,
185,277,563,304,215,889,073,844,326,068,061,026,136,023,790,095,720,980,815,
384,846,112,464,488,531,874,905,530,773,089,024,172,317,313,579,180,897,387,
529,918,354,423,165,443,252,002,021,161,061,585,822,164,458,033,037,391,979,
125,894,865,065,984,453,878,209,840,128,872,955,723,779,943,650,447,774,752,
923,089,735,314,541,938,855,557,633,936,765,873,941,298,083,505,397,354,474,
008,617,020,309,370,593,782,590,634,917,484,204,654,318,282,734,335,795,281,
747,390,945,134,764,357,491,356,670,121,979,441,956,415,880,912,776,023,042,
991,613,819,281,736,186,963,370,258,813,936,599,533,804,185,346,431,569,605,
127,532,898,237,481,350,458,481,486,600,663,111,104,001,468,451,807,578,258,
972,712,644,762,685,058,144,454,628,028,423,217,892,857,729,559,692,011,400,
192,161,552,925,352,982,700,502,075,354,595,867,693,491,944,278,636,744,799,
163,921,713,478,610,050,179,708,147,500,617,818,373,372,876,535,814,761,907,
264,616,521,035,962,541,514,685,647,812,993,323,645,123,083,757,512,910,811,
573,109,628,443,662,264,094,197,380,077,523,535,220,461,714,758,084,358,284,
710,706,864,207,928,195,359,826,793,566,377,395,412,642,540,276,528,504,316,
218,939,037,303,199,826,197,623,008,567,025,553,559,072,305,821,962,437,034,
314,702,418,910,612,129,772,843,241,134,771,751,437,598,151,119,526,011,036,
908,168,485,425,898,382,941,471,111,443,956,178,066,337,277,069,557,209,446,
184,430,152,685,814,297,846,467,246,573,100,952,006,253,016,062,404,727,422,
227,127,332,973,634,739,127,001,578,129,104,288,845,308,687,091,748,270,473,
912,304,756,397,245,572,207,064,984,074,038,859,030,947,601,912,211,751,953,
111,587,519,354,414,415,625,871,557,921,213,551,479,226,782,075,054,612,278,
141,727,035,957,988,590,544,132,486,086,438,991,254,206,596,155,411,397,561,
463,712,146,314,185,104,545,895,906,366,061,905,848,549,548,264,429,659,668,
449,039,455,188,835,936,452,434,418,033,309,358,053,196,252,362,698,385,273,
785,178,717,045,060,046,221,863,551,946,233,764,186,247,528,672,639,356,984,
449,663,162,843,966,006,212,767,735,822,530,151,140,273,635,926,757,259,357,
077,949,058,527,923,092,507,494,594,919,193,632,402,992,268,773,877,689,335,
261,326,839,926,941,215,097,404,413,694,567,541,853,116,050,444,105,374,410,
899,606,394,658,601,845,464,239,657,657,306,042,818,661,566,034,054,250,013,
475,298,410,806,453,462,096,581,431,853,122,331,802,763,452,876,977,452,941,
381,548,861,842,358,878,723,935,168,523,739,481,058,492,592,111,787,167,948,
252,519,179,447,411,468,090,503,220,403,250,811,146,290,840,538,634,907,820,
684,142,200,208,139,840,530,935,339,218,463,299,900,159,388,215,430,998,344,
345,063,886,471,217,011,127,637,872,052,728,643,508,835,965,909,537,865,795,
065,226,530,495,616,907,085,779,582,594,937,470,333,565,841,599,263,192,975,
473,092,890,616,912,996,442,123,555,399,452,352,943,722,861,070,829,019,084,
007,123,008,775,281,307,616,135,487,735,845,553,957,987,915,461,001,782,379,
819,802,781,245,545,132,753,274,272,045,226,661,726,630,856,893,636,610,100,
971,090,345,395,248,699,834,295,602,356,254,844,581,247,501,714,659,539,307,
940,140,883,518,732,174,651,385,443,669,587,364,072,458,284,767,482,267,664,
909,413,738,550,908,341,475,537,477,637,067,165,694,385,364,019,257,208,344,
667,093,964,730,919,044,592,180,184,900,338,200,380,906,886,904,121,202,333,
827,417,015,085,216,679,343,466,415,314,591,679,388,689,744,465,775,786,801,
829,855,440,126,310,271,302,379,281,861,738,431,643,731,561,453,831,196,131,
460,378,416,681,260,493,528,914,391,765,349,089,368,928,036,298,246,102,052,
060,529,658,657,594,146,798,994,524,276,180,717,662,805,883,092,598,339,128,
291,124,513,748,433,069,675,251,671,634,431,058,589,445,517,655,745,963,773,
252,904,970,404,528,662,600,713,512,575,268,464,608,840,671,091,830,403,483,
575,498,529,319,744,748,497,324,305,770,108,006,282,859,594,129,441,689,585,
929,516,960,827,879,587,164,016,207,102,648,144,642,042,972,029,200,404,019,
665,045,815,024,895,859,536,830,657,628,683,158,722,818,669,175,856,436,362,
911,314,936,654,843,459,002,600,825,345,866,223,874,412,739,635,907,436,435,
014,794,699,561,605,747,781,213,355,036,089,090,913,105,575,183,943,896,107,
669,440,489,268,077,721,325,934,483,598,276,010,187,108,635,030,555,343,888,
970,357,625,117,535,814,937,976,890,073,277,120,708,591,643,253,167,643,380,
652,275,799,661,851,684,345,752,014,389,850,126,070,813,683,836,751,166,925,
737,448,942,131,616,150,384,585,801,312,400,921,716,112,680,751,185,221,303,
383,988,605,430,975,076,351,145,356,959,316,266,534,109,996,836,849,915,596,
977,837,118,520,718,104,812,475,582,327,253,107,570,597,989,775,302,406,743,
856,183,668,366,896,332,596,496,094,727,720,502,137,536,777,328,748,980,777,
967,064,654,377,597,611,827,835,110,901,526,510,915,742,448,424,602,847,200,
315,104,818,931,026,314,586,105,093,277,974,586,768,229,185,683,536,381,217,
306,060,880,281,739,801,995,663,346,203,644,912,430,030,492,942,866,794,690,
253,155,547,668,271,822,897,201,974,824,292,559,849,741,000,268,399,964,209,
454,739,422,119,860,843,141,174,785,315,326,522,219,167,029,625,594,098,155,
322,075,078,453,180,609,986,145,257,787,449,180,630,428,215,799,903,618,694,
143,489,553,920,962,418,885,557,191,889,934,192,392,588,913,884,692,932,556,
860,415,882,478,767,362,357,438,277,848,354,310,371,200,896,613,897,910,772,
632,437,286,718,652,965,994,109,634,354,802,638,425,385,370,644,504,465,066,
197,482,739,435,133,011,069,411,277,623,196,736,539,296,928,580,279,271,118,
470,847,509,214,515,950,831,088,077,922,016,841,561,632,214,983,331,439,308,
306,601,057,063,701,351,828,491,580,705,515,389,222,632,153,514,384,899,196,
167,417,108,578,422,153,395,209,728,417,057,195,913,440,601,872,792,649,989,
150,122,725,170,788,466,076,722,230,509,216,221,615,824,775,721,082,163,687,
839,879,701,716,724,916,351,725,168,796,451,198,718,501,344,829,142,393,153,
865,396,171,418,176,571,497,603,710,555,644,690,093,683,118,345,682,508,908,
630,960,168,003,175,905,831,705,771,126,914,200,918,029,031,914,563,717,987,
828,487,208,780,730,006,192,426,803,691,291,017,355,522,434,722,031,784,229,
919,960,275,932,736,689,555,032,500,869,212,112,225,328,518,597,492,157,183,
919,775,903,448,357,857,990,610,245,473,959,184,989,539,977,630,056,958,297,
886,033,866,160,890,803,742,472,709,612,190,752,222,699,065,334,438,907,082,
313,376,026,623,705,516,538,842,675,594,803,916,703,355,976,071,791,636,847,
947,287,855,437,352,535,984,190,429,984,860,332,908,914,494,031,661,163,499,
880,902,770,499,975,522,785,209,160,618,725,058,466,990,728,402,605,432,504,
727,249,310,461,343,896,112,703,183,302,279,920,052,847,937,413,488,812,455,
158,913,926,218,399,297,355,117,749,491,857,846,998,633,347,997,788,103,692,
981,528,365,454,670,308,424,554,359,883,858,766,587,028,283,111,510,989,470,
753,082,473,103,632,901,951,722,659,093,784,806,451,855,343,590,757,214,465,
372,350,482,112,519,000,857,498,731,410,798,100,862,019,362,105,675,857,308,
213,839,550,875,615,811,988,027,498,472,131,423,512,677,261,238,954,074,420,
122,663,758,293,389,745,471,164,184,775,012,964,773,875,044,832,363,459,443,
640,143,830,336,209,981,486,873,913,975,088,022,930,595,197,845,790,963,684,
345,173,317,538,520,989,259,671,763,993,687,221,483,278,688,419,392,494,855,
760,279,591,506,957,938,347,197,232,901,905,605,417,650,963,794,225,464,548,
382,887,905,749,092,381,354,727,209,549,791,779,403,959,655,835,404,044,147,
839,405,030,571,752,217,893,224,773,407,698,937,423,789,452,051,803,049,096,
891,588,734,572,398,765,912,016,589,805,520,305,751,544,869,107,519,391,013,
776,530,714,017,540,432,358,804,187,997,091,913,604,970,845,690,113,917,095,
549,204,377,802,709,281,541,431,736,454,561,130,308,080,131,030,159,780,218,
871,743,027,366,136,142,945,229,708,231,206,883,165,525,187,157,786,363,466,
683,523,471,030,814,152,409,208,750,191,705,637,427,926,053,007,554,152,906,
533,040,229,498,384,679,103,694,126,579,563,500,589,747,751,761,284,909,234,
447,735,829,540,775,995,546,132,138,165,301,771,346,013,135,134,696,330,659,
004,613,775,470,239,116,144,515,330,671,679,352,265,532,849,377,664,250,475,
747,416,688,160,510,445,712,359,923,476,297,118,585,246,279,042,286,600,763,
196,908,779,091,056,635,821,513,744,787,193,788,760,582,827,048,761,983,664,
568,411,667,570,740,099,185,254,245,001,140,007,823,147,618,190,187,366,348,
928,177,825,879,917,885,698,704,200,975,362,779,177,332,870,876,412,532,878,
435,541,501,967,264,197,224,582,036,775,349,448,282,584,687,490,528,520,202,
124,464,031,394,056,550,232,596,382,783,425,202,985,175,330,386,746,833,206,
981,630,986,508,879,131,012,281,392,839,856,414,033,106,871,439,888,020,280,
807,631,102,966,196,006,056,089,114,886,195,871,084,601,172,942,231,118,334,
280,116,767,858,389,990,392,723,192,863,838,089,692,612,214,463,319,061,846,
080,428,156,437,110,776,993,009,154,898,040,977,746,911,945,778,466,202,349,
763,870,536,400,425,508,352,717,605,701,251,369,550,801,921,863,597,874,235,
633,972,626,775,153,941,588,327,412,624,495,814,945,685,429,661,219,139,133,
000,519,143,610,439,823,823,299,453,795,316,460,293,140,048,838,044,856,685,
749,554,946,361,693,363,352,473,649,103,923,548,369,725,149,850,680,055,106,
409,393,831,906,663,239,219,179,230,146,520,569,316,699,498,701,372,183,281,
647,822,297,575,271,546,968,461,362,863,158,332,233,978,032,518,482,251,061,
420,357,338,030,428,825,155,423,352,112,247,033,468,887,075,553,332,671,306,
377,308,497,060,059,003,805,523,904,767,961,325,033,634,307,846,486,335,170,
391,878,954,476,834,050,939,468,389,540,051,228,875,007,305,074,999,028,228,
520,535,133,947,246,630,711,447,494,129,973,319,538,850,745,393,650,203,022,
708,227,679,943,564,051,813,311,046,004,765,707,347,552,813,684,464,592,773,
178,612,216,299,365,695,945,176,300,734,397,627,539,832,115,924,037,361,299,
349,531,357,387,382,464,932,864,406,162,016,040,842,049,676,949,578,783,485,
044,965,036,499,907,110,988,812,959,346,567,560,905,603,623,078,226,391,565,
581,933,743,318,747,115,550,172,724,276,147,571,239,226,585,114,010,966,910,
731,887,600,765,964,856,350,386,310,948,562,719,530,645,720,626,487,607,589,
201,632,080,051,648,400,007,372,197,664,168,084,604,073,382,068,604,568,414,
235,509,176,098,842,852,583,226,712,614,129,982,388,122,193,353,591,621,180,
426,320,459,490,115,341,044,057,912,651,446,134,572,302,839,328,786,166,433,
426,531,787,711,368,586,802,685,880,932,230,688,688,750,861,042,458,150,705,
499,270,215,844,933,545,387,483,061,063,493,403,160,581,512,619,033,966,028,
776,269,088,991,887,933,076,682,030,934,397,489,428,378,763,729,274,073,055,
099,787,662,234,858,960,801,646,290,268,859,171,319,544,532,617,799,738,852,
487,463,776,138,806,487,974,130,284,967,427,300,081,681,014,046,095,008,843,
607,589,528,310,693,643,781,989,382,168,628,522,864,955,137,021,758,534,031,
987,038,934,842,020,473,303,714,241,479,561,213,405,882,362,495,107,677,793,
136,171,892,930,701,469,002,201,250,519,978,663,940,699,900,816,946,044,265,
878,971,389,065,460,616,556,528,825,072,593,069,883,313,865,425,342,197,309,
046,334,379,397,670,748,032,901,909,841,268,963,674,410,617,143,644,087,803,
837,455,226,841,097,725,470,275,402,518,995,266,483,361,984,366,163,829,461,
600,171,085,487,702,365,077,964,950,027,024,021,164,773,133,178,442,898,463,
896,189,650,703,543,029,870,234,897,911,511,489,126,097,437,669,243,402,253,
734,915,551,066,064,325,253,507,366,338,745,300,005,226,860,726,682,359,688,
795,688,292,233,879,064,736,681,396,484,845,342,285,247,514,512,109,244,453,
554,862,169,925,499,615,492,032,334,018,310,072,394,572,350,239,301,263,001,
969,247,819,620,457,738,019,368,835,464,112,458,411,354,021,975,894,328,624,
619,599,831,728,813,869,349,943,075,293,976,494,596,385,646,526,647,963,866,
103,063,865,206,820,326,545,023,153,505,219,453,691,291,318,881,845,872,235,
083,698,576,610,048,249,803,508,587,887,137,689,574,263,971,099,893,481,355,
464,709,815,702,345,428,921,713,477,779,445,444,591,458,070,360,515,858,701,
823,571,554,280,180,944,325,512,155,831,607,502,851,500,534,207,832,520,194,
847,631,414,874,181,909,625,012,498,605,113,845,912,499,373,045,908,693,550,
913,029,399,013,296,767,975,514,495,538,664,650,785,498,700,736,469,117,550,
765,116,331,243,160,631,387,665,253,986,094,808,664,388,328,078,002,363,960,
051,609,501,483,197,676,212,164,147,525,672,294,709,123,960,832,026,248,259,
909,077,901,516,178,418,551,808,782,119,569,904,919,509,159,200,761,016,274,
078,453,690,942,088,060,938,320,115,611,630,197,714,618,106,676,220,566,950,
967,408,191,068,537,082,676,203,328,517,683,397,325,731,444,657,099,559,015,
662,025,774,762,441,462,498,076,106,169,846,689,040,596,256,628,579,004,432,
466,724,030,926,272,619,223,793,235,855,387,183,561,585,881,955,037,674,974,
339,600,501,984,545,718,158,917,284,841,418,878,041,097,841,789,852,220,080,
311,679,090,117,835,238,166,932,132,322,997,800,903,528,289,815,372,637,578,
001,261,186,518,832,699,805,138,942,626,415,986,383,873,668,899,889,765,538,
332,583,360,900,631,211,271,202,446,440,100,887,682,333,254,246,553,139,734,
630,525,798,725,992,250,799,917,345,230,821,814,905,754,370,004,563,202,947,
195,647,786,748,628,398,255,198,689,480,925,169,352,520,529,211,123,636,948,
586,233,594,634,377,922,525,856,445,249,987,004,750,433,740,850,983,446,306,
128,403,656,307,884,859,982,365,735,568,269,504,269,110,472,742,454,555,033,
176,063,454,118,248,467,391,894,738,659,580,568,334,788,412,771,765,734,871,
222,822,238,168,373,775,936,278,946,446,906,246,902,806,987,280,140,594,899,
049,948,830,410,126,481,229,374,188,142,451,453,389,266,335,186,864,998,939,
422,956,195,781,226,045,328,751,795,145,984,648,036,198,885,154,829,093,951,
276,031,889,476,194,021,843,558,255,117,111,526,856,835,156,957,147,180,096,
464,166,094,042,067,424,763,524,597,913,331,234,322,251,405,560,335,559,472,
403,701,169,225,350,033,898,433,690,903,596,299,515,350,114,423,735,871,599,
895,569,150,628,481,891,410,500,276,948,908,495,735,776,647,155,338,251,213,
833,664,603,342,307,229,161,052,203,382,905,891,089,429,327,923,084,361,289,
415,038,163,144,519,130,322,217,376,197,206,672,861,443,306,383,117,792,986,
528,674,157,344,475,744,145,833,107,776,522,872,374,142,991,570,840,081,008,
839,089,961,771,844,639,125,502,745,284,667,876,111,222,861,411,911,671,621,
865,506,418,701,062,171,494,545,906,214,737,425,347,925,917,674,531,600,468,
102,769,071,329,295,506,265,367,226,326,672,658,217,963,649,992,284,014,452,
499,674,754,017,978,130,377,820,134,476,155,055,043,532,379,430,815,831,354,
161,435,414,530,216,406,121,484,571,529,779,962,067,880,053,938,654,566,761,
158,134,417,886,517,172,437,355,096,183,969,229,585,314,686,186,600,572,998,
270,743,323,381,431,558,546,627,444,184,368,782,702,416,739,740,846,591,717,
962,605,606,139,690,385,505,486,947,203,308,995,215,196,782,867,834,323,409,
919,122,343,174,905,500,488,448,598,805,941,584,687,426,485,909,816,103,136,
902,568,390,628,239,399,020,871,607,145,851,081,821,195,663,225,849,383,273,
805,339,335,845,751,978,741,719,850,036,491,159,448,213,049,541,072,240,203,
825,069,034,876,927,900,925,012,835,252,933,368,387,660,438,307,681,697,551,
929,601,297,217,061,352,051,880,094,661,523,966,799,338,315,531,606,693,866,
984,519,463,825,847,021,490,215,414,983,211,719,415,117,365,180,651,585,706,
301,645,359,674,063,829,013,442,713,547,345,473,716,384,586,528,110,709,234,
116,522,137,308,297,281,918,139,484,260,384,752,116,891,198,686,085,056,061,
873,002,197,888,930,327,571,835,447,065,774,635,906,470,236,657,599,178,113,
965,205,506,302,569,535,537,299,736,053,425,979,352,160,857,184,819,547,746,
225,931,221,470,145,882,079,109,073,972,257,961,983,925,968,003,829,460,604,
290,747,096,773,520,972,819,288,328,217,311,010,404,776,068,222,937,645,322,
248,304,953,093,956,799,679,741,415,206,904,328,748,784,923,715,756,101,666,
360,865,121,418,252,211,904,339,148,692,887,923,335,349,696,273,240,306,608,
556,872,381,817,297,375,763,071,944,218,333,328,142,338,244,658,316,245,190,
621,494,435,247,806,404,072,920,816,336,932,618,242,081,336,744,352,438,437,
292,776,107,043,730,445,466,076,843,454,387,557,282,411,391,060,730,748,824,
024,987,300,746,441,416,514,866,072,238,855,068,309,605,423,881,079,543,526,
945,513,263,342,188,996,603,387,580,127,940,228,260,595,969,765,918,429,551,
168,687,166,414,150,155,083,316,791,722,461,138,350,498,024,144,491,339,069,
947,050,584,397,740,464,794,528,878,210,676,337,335,206,736,774,125,079,220,
191,456,712,565,604,641,206,318,629,422,583,471,940,336,944,221,065,752,621,
068,049,839,594,138,980,057,081,208,822,919,612,590,073,032,145,557,305,716,
746,190,688,476,697,028,963,799,721,929,417,236,922,907,468,996,431,743,767,
553,070,658,281,192,504,242,281,307,607,560,517,141,564,588,624,570,026,376,
785,265,258,727,217,330,967,071,455,214,829,851,757,413,930,028,366,698,309,
663,465,705,640,205,786,721,741,366,659,918,652,713,391,679,426,822,225,215,
234,082,653,454,649,590,401,307,815,219,488,877,170,590,692,068,817,617,080,
506,514,563,629,101,613,852,909,544,023,701,301,193,682,589,854,863,170,093,
000,748,588,511,950,156,836,693,757,106,434,040,893,612,286,860,077,789,867,
807,300,507,049,224,113,665,992,565,251,624,804,829,934,981,246,850,491,128,
691,999,432,945,481,691,915,740,673,325,432,968,971,563,113,231,755,326,191,
428,111,739,134,377,756,431,583,531,377,546,599,586,394,400,511,738,404,482,
192,233,690,486,851,836,612,699,262,012,279,809,729,318,274,329,974,070,855,
215,489,325,513,681,444,800,306,743,839,503,069,417,369,100,515,019,071,074,
171,586,176,379,072,021,095,544,543,516,450,592,142,080,354,759,255,285,704,
232,642,660,684,364,868,258,008,734,101,123,703,989,800,911,526,657,493,550,
282,401,221,256,994,444,625,924,828,441,827,688,887,606,259,818,655,879,027,
095,505,378,584,132,211,436,529,286,779,472,800,805,042,135,767,148,301,169,
957,098,348,661,001,965,026,639,064,997,698,082,738,315,587,883,197,979,300,
182,271,378,841,280,781,223,597,900,286,458,843,831,523,703,025,937,125,982,
762,851,775,710,973,867,489,308,600,749,006,713,843,512,777,878,629,810,486,
236,637,379,584,350,944,306,099,077,071,462,760,828,544,113,730,792,586,664,
184,008,146,322,777,713,693,189,213,481,489,554,758,008,848,331,544,707,450,
629,488,364,173,580,694,862,413,437,252,829,171,279,847,560,724,421,565,253,
607,746,112,377,186,446,028,198,608,328,818,689,058,268,068,153,418,618,619,
595,509,400,371,584,510,212,711,043,439,899,620,270,923,444,175,892,341,714,
808,199,580,767,060,764,351,042,326,523,589,390,259,260,253,811,459,724,546,
522,293,013,934,809,195,002,427,673,593,938,360,010,656,522,317,980,576,837,
871,024,412,593,014,357,350,575,615,364,330,422,925,201,044,557,430,980,841,
694,086,721,858,398,109,442,769,622,906,905,347,447,251,913,213,308,931,922,
554,292,440,814,869,596,477,234,674,985,916,251,703,806,243,969,911,124,524,
792,339,866,667,928,990,684,558,547,844,672,893,438,938,703,187,398,006,772,
385,679,215,795,656,652,752,370,522,696,244,003,008,293,630,419,698,670,564,
862,488,218,772,265,847,253,888,236,017,822,628,169,305,416,770,064,629,583,
392,641,750,601,980,271,125,518,050,452,583,267,740,897,253,768,712,976,220,
166,895,242,887,289,630,217,182,104,176,501,188,005,640,626,344,127,136,435,
358,911,118,400,287,678,336,799,463,540,204,696,551,387,093,192,504,700,218,
832,703,981,399,778,119,795,849,962,152,791,577,560,720,026,873,478,941,083,
047,777,630,097,183,484,365,658,566,287,457,851,163,151,058,196,060,725,071,
112,909,852,680,283,530,241,469,667,679,816,639,353,038,585,765,191,551,647,
549,009,201,382,048,222,614,236,749,087,004,163,883,785,315,000,013,656,449,
264,164,088,112,006,394,201,973,888,986,615,432,361,855,823,750,914,231,714,
549,098,719,330,210,014,121,125,734,401,692,285,255,824,956,445,170,903,564,
474,968,737,384,791,037,522,615,259,251,539,302,214,468,617,162,402,431,562,
398,353,357,128,143,959,961,783,822,745,639,586,263,005,829,105,419,655,592,
820,496,789,676,904,053,614,019,726,777,520,280,654,034,680,407,551,700,809,
302,008,894,730,066,243,001,682,827,627,289,091,892,396,168,348,403,440,634,
282,235,346,102,478,960,139,270,650,003,333,982,857,111,638,851,745,883,409,
548,015,207,419,641,879,298,755,677,861,577,817,226,435,386,548,671,520,459,
132,530,995,758,970,129,549,618,804,541,731,144,033,423,360,164,176,975,868,
852,850,477,554,920,941,590,951,895,803,944,262,076,305,357,634,187,194,353,
673,282,077,345,285,556,330,122,809,979,074,545,989,068,279,512,334,303,286,
567,532,065,685,659,334,578,319,375,954,309,938,558,893,028,386,201,284,432,
057,634,560,801,883,753,611,830,676,243,593,077,722,354,977,210,959,994,784,
599,158,454,975,726,119,456,039,459,425,488,794,645,114,347,099,082,593,305,
665,022,518,288,442,333,670,379,553,018,902,853,994,722,380,102,125,469,268,
786,558,283,308,833,161,607,889,865,915,527,821,641,570,658,818,300,896,641,
171,649,196,402,129,383,396,814,367,791,973,431,817,289,862,329,712,549,044,
155,570,405,979,544,384,707,656,480,247,061,180,386,842,594,944,522,488,023,
589,748,530,958,183,680,676,792,340,135,482,419,933,974,977,514,855,004,049,
206,499,282,985,331,484,693,245,431,151,248,121,195,157,587,041,073,312,397,
700,866,803,919,923,947,140,182,366,233,232,676,778,683,434,205,760,277,316,
533,350,106,178,775,142,986,873,873,591,196,175,156,256,443,908,300,217,466,
452,120,876,353,755,200,119,950,383,985,765,486,149,519,779,948,938,332,521,
970,659,920,133,622,355,402,921,100,321,598,751,316,452,310,705,323,709,424,
818,615,571,586,393,849,589,914,407,970,901,382,945,928,139,840,090,606,822,
169,510,770,370,113,506,569,768,795,747,111,859,539,689,378,043,953,583,165,
399,275,577,919,425,594,550,023,446,353,961,500,535,698,331,873,135,348,574,
500,452,483,004,008,604,619,688,565,906,741,876,960,029,043,767,050,379,735,
808,111,775,704,082,275,536,678,865,659,283,872,377,643,786,488,602,654,179,
453,119,255,364,772,635,499,476,147,125,767,550,262,611,064,900,783,494,929,
378,264,382,928,036,036,839,819,397,337,474,245,576,303,349,303,131,596,810,
591,235,674,975,010,451,068,907,596,465,136,978,820,725,574,848,616,624,859,
903,614,208,225,948,232,558,610,535,561,224,841,783,695,115,236,862,560,784,
321,622,274,400,212,898,022,316,723,314,371,522,248,427,885,280,949,360,571,
320,176,211,212,852,706,791,032,163,698,002,136,739,337,373,027,529,568,228,
499,835,765,892,322,280,891,376,790,629,906,301,440,258,719,231,903,512,214,
421,217,877,499,611,259,690,198,379,693,315,268,562,991,995,385,626,319,353,
130,650,622,666,820,767,846,183,578,507,789,541,495,962,219,502,167,654,755,
513,827,226,883,308,438,241,133,425,333,893,874,901,776,070,453,421,233,043,
118,676,160,807,085,977,484,432,187,359,578,827,036,373,779,181,710,897,493,
671,973,011,962,401,941,653,744,622,056,408,973,139,764,724,207,014,476,787,
647,163,569,625,827,992,719,487,954,906,938,058,167,004,224,063,184,531,062,
649,479,107,200,010,478,569,184,061,770,755,603,224,057,948,363,933,364,324,
055,631,711,626,082,949,911,572,012,789,394,105,822,447,720,025,998,520,890,
698,933,367,508,859,542,931,612,756,683,838,907,840,521,792,131,390,783,585,
500,156,633,653,234,059,226,703,555,308,147,388,537,838,291,797,506,850,268,
547,314,708,917,293,526,234,842,215,175,850,980,111,666,859,533,393,901,185,
884,045,676,136,333,919,075,963,743,467,784,775,855,031,604,413,314,629,888,
503,605,338,098,782,733,789,685,876,165,868,059,882,372,774,060,931,005,807,
833,037,154,550,598,348,201,909,901,923,909,573,730,824,618,820,651,689,724,
404,925,694,270,011,152,579,164,858,904,513,689,528,142,607,022,919,630,528,
260,695,927,080,879,330,364,432,648,434,450,045,587,785,916,181,939,420,524,
901,989,225,561,738,407,596,772,941,281,488,703,163,555,292,964,763,453,326,
875,437,577,053,722,703,619,791,029,548,804,990,623,839,329,922,810,022,313,
790,639,510,335,918,653,691,341,160,469,083,402,067,274,299,370,623,071,481,
810,558,221,945,559,045,388,176,478,826,653,087,614,802,335,025,478,835,091,
427,294,899,824,235,851,581,842,462,137,827,811,874,347,188,287,197,586,359,
876,702,149,100,686,290,796,359,090,030,409,255,684,571,928,203,573,957,781,
356,345,555,662,830,903,823,233,265,911,834,574,606,867,146,345,429,640,133,
255,965,057,219,599,102,931,420,309,687,123,571,253,028,508,312,659,670,456,
585,143,389,222,435,022,989,485,963,001,490,672,245,555,974,937,426,398,947,
904,148,180,295,147,946,938,943,253,520,261,355,427,274,905,662,940,283,271,
253,082,425,181,381,605,554,888,060,109,647,828,851,180,216,384,130,309,090,
484,447,263,162,178,621,320,033,318,182,184,388,719,904,408,000,996,086,833,
244,840,072,514,776,211,303,760,791,466,287,795,795,693,105,107,731,319,411,
971,169,783,692,537,132,742,578,953,099,198,133,008,062,038,439,694,645,875,
239,697,960,283,746,247,008,332,922,766,317,995,455,081,530,066,157,878,175,
799,088,878,384,151,416,662,434,000,310,019,906,888,135,564,536,540,020,501,
328,669,805,826,974,146,100,328,338,527,900,612,308,500,571,873,013,033,095,
558,690,633,247,618,724,559,836,851,201,371,618,402,999,459,918,149,720,754,
145,535,962,112,153,910,109,738,938,327,845,915,862,096,542,322,622,092,355,
178,026,211,430,450,015,798,983,395,862,441,960,326,116,231,105,766,898,419,
799,283,249,867,842,522,361,469,011,702,347,632,011,317,295,093,658,736,206,
221,871,394,804,880,709,110,145,459,846,822,174,355,884,853,370,421,131,111,
554,615,794,296,532,684,226,377,392,413,066,143,838,871,019,786,073,853,341,
178,666,674,083,358,177,425,276,894,907,191,714,877,932,935,892,711,966,501,
240,664,706,674,767,312,564,958,256,557,754,323,985,135,618,038,495,808,995,
434,587,625,496,214,175,979,546,396,494,848,938,044,317,823,239,858,462,162,
859,859,992,263,241,739,870,834,527,045,655,367,059,605,030,840,696,769,207,
477,649,919,293,964,038,176,884,074,887,065,496,301,673,346,891,418,235,511,
886,070,975,001,899,786,286,733,408,192,297,860,938,792,731,917,653,500,804,
330,004,122,218,123,516,281,015,883,609,666,846,075,817,642,716,130,404,037,
507,650,021,193,442,183,743,003,688,441,891,722,555,689,579,491,704,643,636,
642,908,289,376,528,972,253,401,747,674,528,346,162,249,048,371,962,193,854,
549,853,198,581,091,251,415,666,035,574,823,470,934,910,961,089,169,598,118,
658,877,104,957,989,621,944,684,142,212,444,744,313,268,070,066,612,845,318,
079,838,602,464,216,874,972,516,672,930,777,615,279,616,119,743,270,094,034,
058,827,598,653,105,321,533,419,604,188,561,692,956,175,393,051,946,418,789,
525,122,285,182,998,002,701,269,189,145,376,060,046,996,811,993,868,158,998,
397,453,021,505,121,592,597,874,369,138,460,140,698,786,884,794,422,017,070,
890,426,788,877,681,279,714,528,166,643,626,975,832,453,345,518,356,451,969,
047,233,385,923,388,156,839,071,336,812,841,290,283,774,666,802,630,715,349,
940,482,882,095,268,602,598,209,868,760,797,957,165,276,684,806,244,377,013,
955,655,450,481,753,025,669,672,210,095,823,153,686,010,405,867,383,608,791,
466,793,128,406,942,453,968,364,673,754,128,167,603,860,719,779,759,817,669,
284,594,633,068,754,933,876,626,344,418,745,753,041,872,106,641,464,940,531,
899,384,044,642,134,927,240,152,992,703,808,336,754,672,383,927,653,101,679,
922,605,342,007,200,530,831,642,868,609,681,966,302,671,732,449,810,388,802,
016,142,759,831,268,862,498,691,179,557,702,715,820,793,828,929,451,779,199,
674,552,608,922,071,346,341,119,889,470,986,082,325,578,474,560,074,404,831,
156,612,907,738,677,674,636,607,833,556,631,092,380,713,645,684,310,459,939,
810,589,387,543,481,381,720,899,005,665,655,873,782,337,738,031,395,647,890,
704,222,341,955,394,532,954,232,220,535,896,061,664,680,147,443,390,640,208,
955,873,159,149,005,374,341,295,898,243,378,245,284,837,108,944,542,195,033,
672,634,741,303,141,028,768,444,272,435,477,047,656,606,196,149,186,083,935,
654,943,328,796,147,057,333,710,806,907,429,860,685,304,182,094,764,561,927,
426,027,932,179,943,623,533,519,964,161,372,923,609,628,862,811,018,246,746,
420,876,715,024,366,526,557,572,415,956,182,832,891,505,875,034,386,167,131,
996,153,193,286,534,771,623,062,225,263,363,771,289,943,523,788,811,270,636,
113,480,569,337,765,444,961,453,023,044,619,859,949,396,054,871,817,586,143,
295,748,475,782,043,024,062,492,655,545,305,325,692,002,216,030,800,677,246,
034,843,061,808,006,979,111,125,538,650,783,502,970,164,444,299,716,996,196,
457,119,585,502,474,876,424,985,057,508,888,430,072,658,851,246,147,058,479,
606,586,088,674,178,867,807,042,418,621,880,581,368,077,953,724,935,594,304,
150,981,674,372,507,592,533,542,661,096,665,139,376,763,818,701,694,045,621,
549,049,448,479,844,397,012,908,671,091,323,475,241,886,733,181,939,448,767,
508,552,411,840,101,475,457,707,327,745,124,049,789,451,012,232,132,205,519,
530,060,237,279,693,822,223,556,717,350,493,328,444,717,688,136,254,323,607,
892,494,377,784,809,488,753,139,238,960,225,945,427,397,379,388,968,054,298,
268,227,959,387,647,508,217,892,678,520,156,843,514,085,398,709,109,709,686,
144,849,053,115,999,805,999,505,865,979,127,852,489,023,254,238,138,712,518,
696,143,410,702,940,773,801,320,028,696,286,958,309,510,691,297,240,840,107,
833,004,769,813,096,049,193,546,346,574,461,502,941,223,373,375,470,161,931,
534,632,511,581,196,767,829,759,980,259,386,237,392,115,461,583,620,373,846,
945,093,483,505,834,519,611,514,258,322,092,624,597,428,612,097,196,789,802,
296,902,821,605,252,305,676,499,054,200,961,033,231,296,636,599,978,271,891,
490,979,915,737,523,726,687,546,555,155,776,608,586,480,239,892,275,343,058,
846,045,006,935,159,144,047,342,225,599,476,765,518,862,033,639,950,977,134,
647,134,887,525,928,658,152,461,215,046,720,620,214,720,397,896,055,894,349,
201,798,283,216,558,049,169,613,665,655,508,218,780,943,570,726,946,126,382,
972,870,636,528,185,283,129,354,370,487,097,009,225,907,379,230,356,169,216,
449,402,268,329,188,107,408,496,269,203,107,745,793,891,629,252,031,342,248,
871,215,515,509,863,107,037,379,286,820,981,248,657,887,689,720,163,785,073,
152,211,939,830,679,035,131,632,859,006,953,018,191,593,657,457,223,359,979,
395,012,683,202,902,121,503,004,999,568,260,228,226,258,460,559,132,044,824,
706,552,733,603,893,254,646,842,916,421,953,276,915,280,525,368,183,534,992,
275,692,066,390,439,407,319,701,540,985,266,420,483,951,649,065,779,927,334,
308,974,204,277,247,584,340,414,755,503,702,353,138,431,708,146,419,976,843,
161,952,779,747,319,254,274,909,611,016,329,797,098,146,215,398,317,990,777,
688,383,161,755,772,299,810,318,747,425,687,308,092,921,828,368,275,578,162,
443,259,772,783,782,990,869,856,955,157,580,178,652,295,837,638,763,667,136,
535,569,512,594,922,140,648,319,143,891,995,277,526,273,292,387,147,397,331,
802,399,584,535,772,034,254,913,311,097,982,777,134,701,986,703,720,063,394,
459,595,025,727,839,830,631,918,135,286,234,848,352,345,689,783,374,803,434,
919,022,899,757,121,496,495,571,908,730,087,832,765,065,205,409,447,949,314,
689,049,306,076,455,318,130,833,423,276,583,766,504,711,764,774,408,129,876,
147,507,613,615,866,220,415,897,038,189,471,615,306,651,708,072,560,297,925,
823,059,806,391,219,724,587,678,975,109,034,044,422,368,681,307,441,585,725,
160,955,297,611,030,924,844,317,403,171,127,126,997,165,513,520,777,444,007,
031,327,200,694,023,490,879,179,732,220,655,048,707,188,818,071,904,773,778,
965,027,941,912,281,783,415,336,470,374,664,297,410,560,694,106,067,450,244,
353,521,996,287,355,364,360,584,855,636,485,617,433,863,479,274,666,610,942,
054,573,447,957,156,233,744,953,794,574,784,174,708,109,748,771,465,161,138,
995,361,386,558,235,114,885,070,516,358,401,857,783,326,049,768,889,360,765,
107,545,645,947,933,491,955,809,425,415,158,184,785,315,877,753,599,253,569,
331,043,747,056,173,746,434,028,489,542,981,074,017,574,356,272,655,631,985,
103,358,375,489,132,930,100,065,057,733,290,792,812,050,269,848,181,224,302,
224,660,678,816,846,755,192,728,251,723,762,554,489,479,876,231,562,056,295,
597,627,323,523,981,148,475,677,148,404,032,397,424,294,549,563,758,829,624,
964,498,207,716,198,021,856,679,042,900,394,139,920,481,278,090,066,748,825,
958,033,282,448,557,548,649,503,933,187,020,340,478,049,405,647,584,614,394,
590,622,656,582,030,560,819,157,008,375,279,525,353,555,503,559,259,695,668,
670,862,232,847,142,008,819,377,696,912,921,587,992,930,555,485,507,069,402,
892,490,244,765,653,006,637,637,543,738,266,877,515,857,969,227,479,449,281,
252,726,795,813,244,633,236,146,700,733,388,382,649,165,274,892,711,280,877,
691,308,250,542,798,731,491,112,662,343,117,646,173,132,928,474,415,934,712,
866,344,589,061,281,565,810,585,138,072,213,894,270,311,527,653,317,998,497,
725,684,406,126,596,865,678,657,676,573,143,829,255,025,540,753,273,248,049,
513,336,927,156,880,748,954,630,778,879,677,435,304,910,579,971,973,312,302,
788,972,993,541,602,618,304,174,684,174,702,082,370,894,680,536,621,353,304,
234,640,424,903,092,010,462,487,994,163,708,131,340,364,069,420,605,363,832,
801,422,174,539,634,085,257,562,815,414,977,287,422,079,647,808,969,087,260,
345,873,132,402,362,716,883,559,733,753,037,269,520,128,753,461,726,115,301,
705,957,789,273,582,823,706,227,985,788,410,374,172,690,057,995,040,421,136,
469,543,815,935,230,131,037,005,257,337,831,771,706,051,646,130,160,582,736,
119,914,180,588,941,354,940,148,022,308,606,431,494,825,999,395,278,867,905,
863,635,602,421,141,436,976,100,014,716,797,968,922,814,969,673,699,689,002,
795,797,140,321,254,015,751,142,535,926,027,706,715,088,391,161,839,536,782,
130,903,602,881,402,907,534,530,356,660,441,740,878,846,458,899,790,554,411,
324,957,326,119,994,185,069,312,939,237,477,155,558,109,169,687,631,982,052,
707,878,681,184,931,363,771,334,257,595,365,441,706,582,655,976,603,873,812,
821,816,977,667,185,396,372,065,517,521,553,954,273,500,553,481,518,539,877,
500,568,875,434,948,901,324,131,512,704,591,518,412,289,928,636,695,249,636,
642,943,949,271,594,036,180,696,010,183,851,773,447,631,523,223,184,396,308,
260,916,977,558,688,501,921,192,794,045,123,410,707,415,358,235,642,624,023,
058,518,802,777,876,829,365,252,647,469,621,216,365,921,529,182,265,890,821,
541,500,110,881,523,978,300,074,545,119,650,329,064,597,248,991,798,600,094,
419,396,717,336,777,680,392,739,466,870,395,536,774,611,792,247,225,566,915,
124,369,494,484,049,161,741,098,094,348,783,896,679,948,202,460,048,636,249,
052,795,751,251,586,259,875,307,026,527,275,024,007,024,220,035,313,085,789,
425,124,958,280,373,234,502,126,989,770,549,470,792,239,333,542,961,869,491,
554,182,103,712,819,237,612,725,440,504,546,956,384,820,003,336,670,329,694,
747,130,531,830,887,572,781,198,751,000,131,720,330,759,209,983,190,267,503,
331,966,384,150,404,920,534,096,991,097,681,413,220,780,059,540,523,370,035,
390,402,933,917,013,964,835,328,132,900,684,090,835,231,622,848,587,874,406,
979,993,946,531,319,251,471,173,196,280,338,161,515,939,638,133,195,799,936,
802,366,702,446,446,550,532,846,781,720,360,548,357,182,501,943,456,395,205,
332,747,206,392,496,853,522,518,972,915,527,789,864,389,586,312,115,793,914,
027,050,486,279,993,773,329,127,810,804,847,739,935,773,939,411,910,300,227,
397,607,385,095,479,636,952,345,815,136,920,461,379,572,862,104,829,749,572,
126,740,233,436,703,429,803,687,721,143,266,783,291,938,187,274,172,181,946,
234,230,233,420,638,415,328,101,191,976,175,625,248,612,668,831,039,849,364,
538,822,291,747,415,801,228,176,459,778,236,791,850,242,992,858,840,697,925,
929,611,349,806,158,126,176,518,753,603,338,545,681,852,704,185,743,148,995,
689,401,404,621,602,119,819,690,545,217,949,720,934,579,340,423,911,741,316,
372,041,257,913,994,911,226,982,486,536,600,700,187,164,635,905,283,867,885,
328,925,395,489,753,560,332,839,182,868,274,128,653,902,022,433,160,844,608,
877,874,540,113,014,963,743,753,369,677,412,989,924,619,910,338,539,637,466,
400,209,370,901,221,352,987,748,625,775,518,023,370,444,786,208,440,711,448,
733,206,861,746,319,064,398,619,206,984,729,048,738,208,414,383,636,869,983,
622,660,164,874,391,192,888,478,944,621,343,977,225,160,613,932,612,743,488,
871,852,534,225,600,687,327,897,268,557,718,631,164,647,351,768,542,188,960,
231,025,655,139,250,195,984,490,646,962,216,715,129,213,576,048,572,853,480,
668,369,685,707,184,024,060,306,117,415,414,826,394,080,061,525,104,337,293,
066,962,881,352,617,842,451,728,334,259,931,374,240,280,281,373,603,782,814,
619,116,577,376,970,041,956,435,432,939,560,981,478,287,969,552,076,469,881,
438,668,127,411,147,008,031,032,204,705,643,463,440,609,870,734,138,967,005,
094,676,267,573,994,737,955,228,214,925,445,766,776,643,897,992,331,801,408,
654,930,581,513,424,015,666,948,872,728,161,115,436,296,550,614,531,505,808,
839,649,569,567,185,570,575,379,639,887,798,521,770,260,913,207,427,752,130,
768,870,498,887,562,307,060,395,486,485,257,199,532,100,372,685,463,551,074,
805,724,121,714,397,147,873,845,911,685,199,079,099,572,768,535,109,246,278,
828,007,035,717,506,143,944,718,672,946,795,127,985,100,381,936,575,294,016,
521,109,197,126,619,707,076,549,032,183,889,653,437,753,421,451,632,565,564,
547,137,254,617,979,401,505,432,771,134,552,361,513,968,195,500,336,241,539,
130,348,601,357,623,601,072,569,369,716,148,344,876,341,182,247,572,446,135,
084,516,817,076,040,436,037,072,257,089,027,288,834,249,607,373,048,026,882,
503,129,612,190,319,731,232,083,909,830,626,501,581,208,841,103,287,422,307,
573,213,365,724,070,211,668,810,468,837,588,200,674,197,378,036,893,104,975,
175,003,988,619,567,244,683,675,799,644,503,294,469,187,200,042,473,915,223,
160,104,042,654,832,750,197,166,603,429,587,238,361,592,215,982,797,038,742,
178,098,880,721,784,444,374,000,966,828,009,912,804,775,777,203,114,848,188,
821,359,754,980,716,602,216,958,864,148,394,311,138,344,957,700,452,160,988,
102,896,036,800,140,870,788,843,238,181,908,914,245,891,512,183,999,357,359,
806,496,420,986,002,054,707,833,074,962,442,401,005,520,284,600,849,664,412,
974,102,447,914,291,644,458,107,738,449,639,708,355,220,388,335,863,452,208,
591,836,918,196,449,918,300,237,172,853,980,613,977,224,278,489,191,996,931,
494,499,598,460,342,795,423,069,593,294,126,276,018,319,095,062,542,505,454,
730,425,075,725,087,247,630,287,403,566,103,129,240,534,094,855,623,324,306,
604,058,275,399,521,726,513,263,467,956,200,459,695,677,206,988,164,574,643,
044,987,969,385,828,059,266,228,432,242,804,395,403,130,951,013,618,568,321,
120,168,685,922,353,881,277,941,416,096,235,673,381,182,829,339,878,014,899,
506,583,781,367,779,200,217,796,396,546,345,334,394,912,522,329,746,830,321,
769,680,892,432,999,772,504,741,049,128,037,469,765,341,274,636,151,890,581,
474,434,957,535,751,455,716,141,937,092,871,205,301,948,513,722,078,401,690,
809,883,649,532,527,475,978,261,620,523,425,442,868,721,226,768,538,443,168,
379,903,305,627,609,255,107,297,162,244,030,048,625,840,217,202,547,268,256,
533,304,079,506,818,056,503,716,807,764,949,209,300,830,906,043,916,538,289,
779,374,215,095,008,582,104,183,736,026,299,581,997,016,417,918,135,808,656,
044,904,513,731,925,121,988,013,829,478,821,513,799,272,418,528,168,539,382,
355,644,696,512,474,954,182,843,390,197,472,869,748,255,515,696,066,903,016,
936,442,910,774,657,270,486,075,279,158,041,387,767,284,052,815,192,139,315,
604,539,862,523,194,109,992,738,953,721,289,691,160,513,055,931,741,818,407,
869,594,460,705,956,619,395,526,852,060,790,296,124,310,751,660,010,045,881,
889,299,007,464,969,749,037,234,890,795,363,941,748,941,917,535,025,295,457,
152,053,285,921,158,398,749,011,818,056,676,278,004,755,682,047,579,305,126,
459,782,488,049,612,986,461,753,512,948,189,643,630,549,740,611,393,876,191,
344,029,271,906,656,910,917,858,557,428,484,585,034,588,288,038,956,187,333,
372,689,859,974,102,387,345,853,681,628,484,430,761,235,258,219,940,173,142,
151,293,034,485,930,758,633,124,577,642,058,164,733,776,032,707,640,374,560,
449,091,268,775,815,338,516,526,536,274,792,574,234,086,187,521,219,092,072,
263,080,881,996,705,316,282,323,419,269,317,144,976,054,217,994,383,772,697,
969,258,433,528,919,022,645,981,058,959,767,036,576,647,080,899,446,991,414,
612,464,415,259,479,576,058,052,706,488,168,408,139,009,912,036,845,109,760,
309,950,891,499,566,095,846,494,245,968,034,176,407,212,967,260,155,683,475,
391,771,051,360,800,812,219,026,402,028,767,703,992,714,145,128,181,437,661,
414,854,163,857,145,666,405,845,960,646,173,970,811,856,232,378,759,673,184,
981,531,434,371,052,012,513,093,426,976,322,012,908,737,261,299,481,657,761,
265,235,981,178,870,620,960,352,803,343,779,864,665,031,768,846,579,238,255,
168,913,666,803,159,965,262,626,542,027,710,614,328,906,596,958,752,946,615,
994,087,076,230,392,932,177,407,680,662,231,885,114,167,437,638,343,315,534,
093,478,983,728,845,439,065,913,116,412,243,460,521,400,795,938,203,291,335,
803,406,167,322,607,898,633,567,525,956,966,530,772,472,061,121,737,200,884,
675,809,117,235,394,181,360,984,291,249,588,117,734,248,061,822,314,951,607,
946,517,615,556,683,248,855,359,775,739,393,823,723,889,065,200,339,044,185,
664,760,434,364,424,781,907,590,676,483,233,671,071,496,291,616,170,405,912,
316,319,793,077,072,647,082,835,857,941,993,324,467,484,400,114,792,124,100,
540,251,635,827,163,150,052,031,524,006,947,643,240,838,116,834,694,864,998,
654,664,373,888,630,225,580,307,908,082,166,814,320,280,550,886,134,835,815,
932,662,046,036,263,718,304,299,396,794,988,792,337,980,834,715,607,619,565,
520,808,910,173,013,975,842,940,701,059,130,796,968,881,094,356,694,355,174,
805,463,343,758,128,729,441,003,946,185,674,069,713,779,510,789,066,933,884,
416,882,297,749,763,404,182,942,139,891,381,042,498,733,238,198,067,003,060,
304,811,868,437,195,232,505,861,530,299,387,767,013,961,388,193,612,124,016,
530,443,369,364,102,539,194,933,572,230,219,899,286,241,531,642,111,178,707,
043,859,895,943,689,567,722,683,006,962,443,629,052,440,393,756,503,605,742,
327,811,560,193,987,797,926,157,173,180,803,611,594,349,241,735,752,134,060,
655,175,256,804,830,685,796,409,610,117,728,649,660,304,026,927,272,470,012,
046,136,503,900,163,794,265,479,100,036,037,082,642,930,537,239,744,775,938,
193,971,320,001,293,345,749,154,000,825,407,880,671,977,448,574,472,521,418,
165,261,087,630,828,194,545,493,033,765,645,557,985,842,658,008,732,057,879,
251,818,194,912,747,284,779,514,222,322,673,013,038,124,831,041,592,941,150,
254,687,384,670,829,760,031,421,705,282,619,764,313,677,986,471,305,238,879,
003,809,131,715,769,091,992,942,862,611,741,192,045,543,421,981,548,643,655,
994,654,902,035,568,981,334,521,936,820,820,227,030,630,053,088,504,291,213,
808,606,257,402,395,290,227,015,343,132,591,861,198,408,269,582,978,230,624,
168,507,853,245,430,912,331,591,829,009,043,257,237,830,461,010,610,111,693,
890,106,888,060,850,746,916,040,854,761,236,271,987,369,763,993,116,447,745,
887,349,303,672,943,175,280,136,665,148,647,487,815,579,282,488,040,461,707,
677,987,667,901,852,679,152,583,133,898,513,638,911,523,208,974,700,801,916,
310,893,120,531,092,472,990,022,745,227,198,371,807,551,885,693,903,943,620,
817,171,558,764,379,629,555,155,291,184,848,868,648,640,371,875,867,257,044,
799,083,404,710,728,472,512,404,159,711,699,344,132,341,583,896,953,055,840,
999,775,680,766,374,281,286,561,305,432,611,635,857,000,819,077,544,977,113,
049,125,378,830,465,527,237,493,711,721,587,225,299,951,581,643,451,441,915,
414,436,992,576,878,441,228,380,413,492,323,775,248,417,180,760,089,841,340,
116,389,697,320,353,821,942,420,338,155,373,721,637,049,791,423,541,155,625,
797,927,654,519,102,229,052,954,038,759,167,660,941,617,716,134,702,519,779,
878,471,893,315,152,593,872,735,192,270,088,967,248,644,174,448,459,067,064,
193,963,932,210,472,742,402,589,592,530,478,489,047,006,150,119,093,735,630,
409,377,500,134,220,872,510,522,111,919,652,497,651,172,210,756,883,617,105,
306,338,760,657,695,379,388,737,592,574,784,346,010,478,157,678,216,396,372,
783,914,782,957,830,048,331,375,810,541,665,954,923,664,694,945,239,058,112,
696,205,596,225,411,204,436,607,871,016,119,676,559,091,302,629,646,567,374,
643,973,834,130,446,795,319,474,387,222,735,202,042,676,670,482,411,379,963,
210,478,341,673,511,942,542,137,989,013,903,259,304,833,189,901,420,184,629,
040,897,100,818,379,867,708,406,411,070,940,264,549,138,172,508,985,576,498,
670,508,366,833,654,589,687,568,335,131,341,145,201,948,142,206,999,605,891,
462,185,540,961,228,853,437,276,155,400,306,707,941,039,211,621,648,435,131,
190,152,371,255,765,521,567,097,866,120,934,016,845,161,512,013,531,827,785,
724,815,049,720,300,248,267,101,697,768,552,597,913,793,802,261,302,517,824,
448,443,663,823,551,427,939,481,425,697,442,729,264,301,103,102,048,279,274,
347,245,619,554,771,647,820,305,242,933,497,603,691,739,730,929,782,793,156,
419,409,898,774,388,351,957,232,810,851,925,615,445,002,595,439,795,975,285,
288,087,547,848,019,004,697,101,827,694,574,795,324,719,248,602,778,813,450,
863,046,724,127,426,344,457,764,497,880,673,369,781,944,092,695,316,042,480,
717,999,387,214,868,522,545,555,421,010,039,081,304,862,512,054,691,863,552,
750,867,876,025,721,421,990,156,741,898,392,818,310,759,098,450,381,908,388,
623,938,728,334,822,295,504,355,828,574,821,636,589,740,349,206,034,509,496,
414,869,712,667,263,378,936,467,674,107,309,423,578,625,492,748,340,084,784,
453,398,208,015,671,172,648,944,039,089,247,864,916,091,430,618,468,432,924,
563,281,893,067,144,097,039,050,024,308,137,487,216,205,730,560,068,125,814,
785,031,378,135,441,210,739,796,092,000,014,888,542,673,740,918,172,681,740,
228,422,745,387,156,068,873,203,997,828,584,140,092,427,331,256,666,370,641,
618,221,202,446,852,273,495,089,896,538,955,988,160,085,734,622,542,641,296,
645,785,340,955,518,508,208,110,382,337,523,752,077,043,552,071,413,988,411,
907,444,414,686,005,936,067,423,541,539,963,289,586,130,769,027,755,194,198,
773,007,545,320,406,720,923,355,155,389,199,964,919,175,244,050,089,395,517,
749,896,314,499,111,914,842,212,027,796,299,449,426,238,238,986,551,452,911,
902,996,238,581,874,102,815,676,468,350,258,006,648,926,895,178,086,431,738,
906,780,423,702,507,290,622,196,286,640,508,613,212,267,152,354,448,296,871,
995,517,823,360,941,098,296,310,048,867,614,822,953,098,665,464,546,905,444,
216,990,085,925,487,791,270,353,805,680,399,393,709,041,726,980,568,243,388,
663,212,347,342,284,747,560,586,398,332,270,499,183,176,585,194,144,005,810,
844,849,197,592,729,451,126,376,074,326,332,707,503,321,535,314,469,168,491,
444,200,664,899,530,863,848,693,202,495,171,121,084,763,140,298,566,482,478,
905,342,486,682,207,478,272,451,070,342,498,191,274,961,423,006,301,995,613,
416,242,847,394,221,952,875,718,996,269,121,428,255,879,914,315,970,235,944,
467,461,531,777,534,633,126,469,072,119,073,935,079,696,420,313,638,385,666,
914,447,671,277,822,894,723,373,664,921,734,294,303,346,957,337,411,233,573,
538,241,039,045,279,497,370,284,792,508,829,824,254,289,952,735,560,850,835,
101,809,515,633,351,821,019,580,095,921,109,074,261,367,760,292,517,390,545,
880,774,275,234,113,163,546,934,066,514,812,762,303,232,025,936,687,947,911,
179,093,477,214,237,643,775,944,410,673,402,449,968,246,419,932,246,920,164,
307,074,976,830,117,363,107,516,868,087,310,911,682,421,185,703,900,950,180,
831,892,676,847,215,013,762,198,511,495,506,441,874,631,274,206,306,550,385,
629,868,313,559,934,088,164,769,657,457,149,106,727,619,540,392,020,639,357,
153,024,659,574,532,195,674,516,843,783,104,760,808,161,533,988,678,354,339,
759,219,313,547,620,731,012,582,808,518,996,247,564,923,713,478,792,333,609,
283,962,564,535,343,621,564,469,154,714,206,613,807,903,305,499,924,218,403,
395,230,804,866,581,287,915,986,636,696,468,981,431,160,991,160,183,422,509,
882,961,678,278,565,490,096,009,994,718,482,682,323,401,328,211,056,657,549,
961,133,484,032,770,566,674,382,506,588,134,486,637,478,006,172,752,748,016,
420,102,601,228,780,420,068,728,739,332,772,046,380,118,348,246,675,655,694,
775,604,652,752,718,861,331,651,558,418,641,253,350,171,922,295,087,486,756,
520,206,004,395,450,128,862,240,488,970,296,460,137,594,678,192,262,335,641,
718,976,317,155,301,003,719,137,242,600,148,567,437,558,969,403,069,647,624,
115,708,115,099,669,391,795,627,275,782,563,832,389,458,285,272,380,581,159,
358,093,297,564,136,217,310,287,167,131,981,463,853,864,178,987,972,696,276,
444,145,013,057,315,081,609,032,477,643,638,737,432,950,124,991,198,252,067,
793,139,514,469,197,201,333,278,241,329,315,575,690,443,079,953,595,967,161,
751,099,338,642,544,836,423,790,323,394,823,364,930,266,600,396,935,276,047,
590,881,094,362,983,581,572,769,019,708,726,751,035,518,499,513,085,518,159,
680,605,089,768,726,690,492,992,960,237,422,718,526,218,271,327,175,162,617,
884,850,065,081,207,677,278,342,872,113,461,509,224,066,913,505,150,594,067,
109,176,793,026,164,246,239,773,424,378,178,068,147,510,964,054,938,551,852,
564,665,368,647,164,520,694,185,656,768,586,421,593,537,833,865,180,449,183,
501,270,460,827,305,260,157,902,343,454,596,426,708,974,631,018,356,854,268,
960,025,405,198,726,535,210,394,297,713,301,000,724,608,404,776,494,774,058,
892,770,773,901,114,131,534,971,251,651,900,747,568,361,710,001,578,844,096,
019,199,039,090,971,003,809,045,762,990,762,815,997,706,912,648,587,606,897,
190,876,379,141,262,327,467,501,376,193,010,564,869,845,018,874,264,215,398,
320,407,049,187,178,083,996,712,525,082,182,811,228,703,215,909,539,599,145,
140,317,233,071,388,824,910,564,573,969,772,859,174,816,166,372,112,303,777,
057,311,284,160,541,027,412,912,183,303,395,673,379,092,587,080,462,816,579,
728,582,689,884,187,801,806,054,693,989,892,988,274,055,524,511,156,047,282,
881,700,719,946,915,527,225,143,708,361,877,173,387,985,056,381,260,124,608,
169,238,290,187,926,521,874,611,266,114,350,851,956,651,023,034,408,595,790,
898,704,982,020,691,873,342,304,099,600,638,031,666,015,597,328,697,163,371,
467,776,212,992,935,399,232,467,586,682,117,984,776,149,663,861,065,685,894,
126,750,375,346,310,901,198,739,775,416,920,474,598,035,937,447,474,953,492,
131,201,968,380,781,303,996,353,072,449,315,917,840,552,013,099,175,660,658,
078,489,830,325,980,089,993,971,099,047,620,352,228,466,039,182,605,594,379,
926,021,290,688,212,155,957,772,226,270,142,686,027,707,122,054,044,354,939,
446,488,337,499,247,331,489,759,083,757,322,113,196,188,124,620,565,824,864,
594,022,561,961,256,152,027,804,577,696,445,403,950,924,375,562,864,715,951,
212,169,400,076,521,328,624,854,870,260,612,731,489,277,245,764,142,861,614,
027,681,736,120,800,989,844,635,646,195,117,521,858,123,992,891,228,350,455,
140,233,961,498,226,643,727,912,719,516,776,018,739,289,895,692,303,895,377,
575,677,326,789,805,943,029,328,266,316,611,999,950,671,045,360,224,954,818,
674,200,644,025,954,875,754,470,962,527,578,858,803,486,193,356,444,765,418,
831,614,703,085,856,699,933,069,217,079,302,831,205,025,828,285,418,872,805,
172,634,835,804,550,420,796,835,763,368,378,357,766,676,730,140,117,729,052,
676,197,096,351,281,790,867,260,680,764,158,623,079,642,326,814,214,142,297,
974,807,930,265,298,325,011,159,710,011,395,523,717,714,523,006,454,954,390,
494,305,973,799,561,398,641,331,923,588,490,101,890,258,183,221,269,271,482,
732,833,837,975,828,818,716,062,946,357,353,309,931,232,423,193,631,058,761,
512,023,629,494,678,848,515,037,805,363,158,244,692,125,606,960,334,986,228,
060,337,248,400,080,514,602,775,063,065,600,953,745,317,039,327,880,011,633,
299,940,882,510,467,353,492,665,662,289,063,245,793,448,326,476,592,778,780,
560,325,511,258,463,661,359,801,837,667,351,454,310,555,886,725,167,038,010,
001,391,529,476,229,428,260,940,511,344,186,110,514,689,546,116,767,008,596,
849,844,991,263,322,400,690,588,246,913,042,639,833,452,482,794,065,472,429,
808,395,183,154,595,618,059,175,610,380,834,670,077,502,467,139,341,199,995,
389,815,837,725,961,514,444,937,428,672,016,069,949,403,733,103,720,507,964,
149,959,541,742,802,998,762,582,943,437,336,248,751,894,201,105,030,830,919,
265,050,473,527,425,433,806,569,114,910,442,131,854,080,622,353,166,661,470,
506,378,610,644,012,252,677,129,200,905,323,825,250,083,993,180,003,697,302,
754,278,588,637,288,465,433,211,947,928,009,625,104,594,213,836,555,686,806,
197,024,687,237,621,775,597,351,025,300,871,794,284,116,652,279,432,260,506,
310,245,487,393,603,697,680,660,176,655,934,774,694,289,198,461,945,554,795,
587,556,607,210,648,644,411,963,759,747,054,888,326,242,999,536,130,127,233,
599,649,791,715,457,469,772,264,342,985,789,994,492,188,666,397,913,306,924,
901,837,334,553,754,038,712,468,038,746,090,609,899,476,861,808,572,919,364,
547,917,527,842,050,855,763,096,468,586,565,005,019,639,483,217,178,134,042,
138,836,623,368,532,102,423,162,700,486,337,321,188,739,653,420,266,617,171,
692,748,431,397,540,028,200,177,093,647,722,272,076,821,454,755,713,476,072,
435,876,404,710,958,643,735,706,704,710,720,338,615,596,074,330,266,999,647,
823,180,742,806,157,499,956,695,308,390,954,333,256,335,389,661,163,954,067,
596,954,932,327,852,734,062,604,924,624,501,143,684,623,231,877,027,794,284,
335,662,598,832,515,531,202,147,857,495,504,505,884,482,036,709,688,689,131,
066,623,521,097,417,826,371,417,692,626,789,546,799,016,369,532,525,943,304,
231,614,810,568,002,221,644,393,487,861,868,787,090,381,601,749,773,905,769,
762,809,584,062,868,834,839,003,835,608,341,571,539,481,875,359,437,001,295,
843,114,647,439,690,277,120,782,373,524,190,547,300,700,360,095,860,977,827,
642,555,814,332,543,588,470,075,707,819,396,110,396,536,613,113,446,907,015,
926,652,305,909,156,941,174,962,362,876,165,344,403,164,270,531,021,388,824,
319,665,070,081,753,500,775,343,919,850,832,903,653,984,987,573,615,637,261,
801,960,255,498,481,937,502,050,819,516,521,632,217,232,140,640,076,038,860,
617,175,610,866,575,354,616,288,734,078,820,401,194,325,711,195,943,903,797,
469,828,647,722,791,560,761,521,252,549,268,992,330,646,352,593,910,878,644,
256,966,487,159,025,319,272,981,370,707,587,952,241,885,348,212,461,029,657,
790,438,322,596,801,888,296,990,075,107,966,894,689,028,611,244,828,961,301,
811,072,808,648,417,971,268,439,172,042,972,026,939,611,050,442,359,888,952,
961,172,944,349,302,048,554,528,016,314,450,698,368,729,637,509,182,204,911,
457,266,575,221,996,783,727,352,024,689,369,528,347,167,128,123,731,117,534,
025,952,607,583,222,649,625,726,037,634,470,257,437,021,375,030,540,954,434,
522,364,881,010,586,193,763,734,927,761,249,468,470,088,065,115,767,779,600,
286,419,903,548,910,707,215,831,210,685,828,531,788,617,433,529,060,831,361,
982,696,021,488,448,731,496,225,477,051,645,434,160,461,906,738,073,215,463,
637,739,262,022,232,275,570,206,866,401,829,542,993,171,022,915,665,300,715,
501,277,616,301,657,318,507,772,372,709,051,694,263,872,033,532,679,938,490,
236,659,553,540,273,043,921,280,582,506,335,605,704,067,716,180,211,627,059,
486,364,040,550,027,686,104,411,860,574,856,612,001,849,305,642,735,517,508,
461,167,030,371,760,199,644,325,716,989,309,425,859,403,846,867,806,171,169,
394,482,405,399,493,538,730,021,552,152,216,214,837,242,835,723,729,136,919,
866,493,863,239,576,882,236,200,279,282,330,144,136,119,287,399,949,490,387,
227,209,915,152,795,565,572,192,315,029,009,513,739,520,329,211,776,413,697,
033,287,055,279,892,236,698,968,502,736,721,838,536,913,995,308,007,536,559,
562,198,260,560,636,037,152,613,393,990,347,267,463,644,119,046,621,651,047,
678,052,139,906,294,125,123,889,593,162,783,437,134,731,195,877,657,609,730,
970,497,741,927,588,597,521,767,789,409,111,674,690,715,455,190,750,716,441,
028,047,709,027,956,078,211,634,671,092,406,070,230,492,060,513,480,765,222,
622,510,374,724,980,297,387,588,115,919,055,328,509,997,654,953,416,355,934,
203,786,438,691,924,103,138,657,752,962,393,222,123,974,884,225,231,433,308,
496,882,125,405,527,905,618,400,444,597,115,076,274,730,239,586,353,639,987,
381,697,368,030,662,209,641,405,409,199,420,808,789,842,041,856,971,219,694,
854,849,020,573,632,843,875,050,218,641,127,229,433,650,446,505,265,030,052,
819,278,246,903,971,900,467,410,786,044,450,452,294,820,713,493,672,425,011,
673,148,957,171,532,036,765,232,694,033,619,767,402,771,222,914,581,507,539,
429,548,507,294,223,218,108,681,209,404,063,660,599,401,498,608,451,335,651,
660,268,296,290,559,787,447,590,148,086,274,399,196,393,191,978,513,764,092,
901,390,104,586,712,731,346,967,585,703,257,440,049,549,474,508,959,020,449,
032,272,926,575,444,731,914,874,821,902,614,323,189,292,867,816,105,759,502,
302,059,219,491,962,418,712,189,413,711,262,629,169,094,846,909,708,195,179,
022,923,225,616,344,905,925,376,442,163,733,803,468,197,511,975,273,586,830,
767,238,495,819,129,139,100,683,816,542,985,174,451,162,494,196,831,110,071,
815,629,760,534,289,804,629,064,187,413,582,947,052,377,800,697,366,724,074,
271,588,600,876,351,257,571,196,503,682,873,135,461,473,395,971,665,191,450,
006,927,726,689,002,031,611,925,787,098,406,112,563,341,669,699,218,925,564,
851,728,599,385,123,708,308,406,796,504,894,276,280,722,464,290,871,048,517,
983,017,562,417,147,083,788,572,956,545,095,690,554,490,505,157,275,365,988,
672,483,307,092,037,510,853,059,360,414,265,035,649,505,887,218,988,923,471,
552,696,057,607,178,337,698,562,639,124,585,561,509,718,117,086,085,685,603,
702,202,198,603,004,415,838,859,041,509,217,275,932,505,128,942,514,211,305,
170,296,666,029,355,794,801,692,227,791,475,248,390,427,510,181,923,652,199,
117,877,356,043,547,312,948,263,332,576,025,815,296,113,594,292,989,883,472,
679,393,322,647,143,805,869,380,267,453,475,716,791,621,197,788,691,373,040,
559,479,722,653,483,424,634,117,705,815,619,473,777,292,071,063,549,850,630,
418,626,103,439,731,082,917,369,928,177,151,742,854,286,451,048,870,378,710,
011,370,974,789,831,990,125,044,506,704,163,486,643,333,959,971,174,503,660,
416,203,700,204,989,699,570,184,947,336,924,191,719,759,151,851,408,495,580,
700,748,189,703,727,526,656,334,592,643,380,102,689,966,836,612,394,122,660,
297,798,418,527,084,325,013,074,075,245,973,765,750,827,841,901,226,321,631,
220,781,079,378,370,037,178,492,824,554,778,602,955,171,463,984,277,125,392,
974,734,427,004,710,258,627,151,670,595,145,472,695,967,736,842,460,508,476,
261,265,803,705,292,298,322,428,730,696,736,209,622,458,975,476,545,690,977,
126,096,766,031,855,203,401,345,491,768,507,790,842,776,042,071,709,011,315,
680,152,017,792,614,404,638,673,983,339,645,673,377,351,153,053,120,954,455,
188,458,864,746,640,568,980,872,846,873,467,728,807,353,032,506,772,787,542,
307,353,951,230,789,604,666,978,388,241,271,540,913,221,567,337,755,441,157,
846,645,101,901,591,200,297,540,125,538,355,185,393,224,605,355,792,110,130,
076,532,459,071,373,489,761,197,322,438,319,876,237,966,700,078,158,148,932,
260,043,703,046,339,635,362,586,027,578,595,760,969,988,773,858,164,514,876,
271,113,867,131,054,365,146,998,459,515,192,909,524,913,964,279,644,602,608,
767,920,565,147,515,461,299,201,387,614,088,920,716,882,603,585,107,146,755,
158,661,484,096,062,100,029,904,425,574,791,889,341,550,354,648,653,704,738,
538,749,361,329,667,204,771,197,109,833,819,794,069,054,065,070,526,516,343,
434,730,566,776,306,367,305,252,759,866,609,896,931,146,264,965,554,210,308,
159,230,874,957,978,646,968,567,185,856,196,097,606,219,650,668,921,806,175,
054,990,965,246,156,543,318,730,106,612,845,236,848,732,588,656,710,330,097,
921,034,677,522,833,883,828,560,737,901,602,094,694,129,550,253,673,121,893,
146,216,825,910,587,245,913,147,839,852,043,183,762,783,019,114,742,627,321,
456,433,851,171,623,641,177,193,935,809,481,156,110,611,049,313,348,821,920,
334,854,565,359,445,216,262,302,073,267,270,139,378,245,369,767,075,312,988,
031,341,427,951,605,144,796,166,365,120,166,088,113,206,126,340,519,819,148,
742,147,866,569,110,800,538,833,748,727,527,975,326,864,369,650,274,828,721,
939,143,416,093,611,163,783,330,904,127,513,232,919,702,519,464,555,708,066,
714,729,738,723,272,621,221,508,497,807,716,627,146,128,406,364,804,060,067,
699,089,370,258,869,391,051,196,500,470,410,526,547,735,406,715,448,576,223,
092,447,187,851,289,955,807,383,214,168,202,160,642,619,255,140,622,645,938,
957,541,586,963,432,088,365,385,974,356,853,987,944,803,423,461,974,278,467,
994,284,082,240,924,693,704,046,663,345,126,413,586,316,111,065,922,146,071,
948,328,573,948,388,288,074,526,096,473,042,484,640,562,751,353,207,388,177,
496,958,514,965,586,912,650,650,482,703,780,240,375,459,057,660,199,844,966,
071,897,581,870,269,614,080,659,726,793,875,244,446,509,756,814,144,802,066,
964,007,003,504,025,939,014,532,982,706,539,140,318,132,099,578,407,798,651,
096,454,271,446,514,595,891,211,638,680,079,019,856,883,469,069,744,129,381,
729,259,657,649,440,725,268,847,483,802,016,910,765,633,771,064,672,872,369,
273,329,446,759,426,425,180,051,879,963,956,510,937,176,560,522,680,666,460,
380,789,857,683,571,497,660,240,464,481,379,471,371,233,346,435,990,792,633,
012,465,371,328,186,588,506,633,627,032,507,211,528,101,478,876,388,999,916,
253,818,473,423,956,760,741,575,068,581,205,643,501,549,488,453,816,991,038,
888,308,504,014,118,423,416,337,682,495,895,648,571,407,763,594,417,078,682,
428,168,840,524,011,641,700,518,802,961,188,444,301,444,101,999,005,937,075,
601,512,670,262,563,794,545,371,321,305,238,111,494,141,486,998,486,293,928,
273,743,509,442,935,536,331,377,731,888,964,683,299,180,937,523,392,919,623,
959,590,464,503,701,406,638,513,311,348,396,020,024,397,220,189,329,731,127,
716,443,101,952,025,781,360,976,166,131,362,567,595,145,944,528,522,303,898,
797,130,910,751,432,748,610,960,432,110,361,505,004,523,013,233,968,449,431,
122,363,957,706,361,855,119,654,065,941,834,143,340,595,789,318,358,892,517,
446,388,109,674,068,842,066,093,785,568,014,642,602,550,942,934,430,525,023,
055,026,406,731,279,381,510,116,225,648,598,589,338,375,830,575,083,277,794,
307,774,272,087,607,924,046,903,894,814,993,838,878,765,046,168,625,862,654,
780,408,564,769,832,828,556,295,330,161,687,895,110,443,281,669,235,266,204,
148,343,117,734,684,559,373,832,937,600,643,067,632,353,312,765,829,639,963,
247,584,378,101,825,465,859,734,276,648,993,391,291,617,277,291,927,192,924,
244,624,904,353,597,438,034,767,896,413,487,988,155,555,402,979,308,150,856,
416,337,520,780,400,253,121,600,956,601,132,439,651,732,861,569,236,928,255,
577,713,665,933,019,620,523,136,428,068,312,267,788,442,199,801,587,957,675,
907,213,348,598,326,739,251,509,660,724,335,038,584,771,289,989,292,241,878,
737,257,555,881,199,709,733,553,909,596,974,537,522,260,824,450,258,006,178,
379,388,877,644,405,906,663,600,605,468,359,222,043,570,516,982,667,477,392,
975,707,392,765,446,774,885,655,752,246,121,536,922,442,521,401,226,509,912,
498,060,369,258,581,647,974,867,076,385,690,593,168,174,688,876,189,027,765,
891,778,647,672,994,745,033,182,410,094,182,194,290,900,045,383,530,525,555,
952,887,878,960,306,817,399,916,073,444,800,503,711,768,490,527,469,346,560,
304,090,676,581,687,783,179,406,265,908,939,383,863,743,887,516,786,237,588,
464,854,309,313,088,297,638,729,878,073,065,387,813,352,211,273,369,556,267,
818,799,412,606,488,744,048,191,632,723,813,056,384,710,508,589,771,123,727,
352,970,052,519,791,350,215,559,171,257,710,679,286,990,069,963,270,105,697,
535,439,282,639,086,587,156,901,148,902,208,211,014,205,579,420,772,635,156,
882,091,756,129,987,252,979,535,477,736,788,152,069,787,029,357,805,776,439,
332,537,301,011,538,513,956,970,026,154,369,449,674,715,901,349,484,391,067,
659,993,095,028,929,775,345,887,858,464,532,606,311,890,154,735,292,927,417,
702,647,117,286,041,749,474,333,666,396,197,996,662,718,453,825,785,187,342,
234,013,170,104,964,318,524,966,455,579,494,981,498,341,812,130,486,890,801,
592,708,114,361,110,439,697,251,200,594,463,172,693,552,318,963,572,247,826,
863,044,877,708,966,469,631,830,974,529,850,071,086,178,856,168,690,729,162,
011,105,702,624,987,731,074,331,078,152,069,878,656,095,313,275,047,560,116,
579,430,694,889,833,363,483,210,699,001,352,451,648,170,496,883,909,541,969,
250,766,032,010,058,148,072,583,536,893,065,361,068,513,907,931,717,114,203,
227,942,929,127,377,554,927,645,475,323,581,220,447,322,031,755,604,756,431,
965,025,672,759,144,837,216,388,673,734,030,230,401,424,387,951,018,027,520,
961,551,156,694,219,447,544,891,945,508,769,118,601,225,443,841,710,338,453,
385,336,031,058,870,790,435,151,690,027,910,601,923,040,762,424,610,681,646,
382,674,048,635,352,950,085,980,999,439,398,326,592,708,775,799,733,987,210,
701,895,007,733,773,109,140,384,738,888,930,778,655,460,069,705,780,036,314,
838,032,226,259,886,012,225,259,706,338,301,360,150,059,235,209,827,237,698,
679,539,577,439,163,291,530,809,842,592,707,772,023,363,760,015,881,858,148,
176,534,031,252,137,456,664,939,610,405,673,065,168,481,229,966,018,179,346,
559,593,558,138,360,252,691,594,005,249,670,021,566,300,747,554,708,191,971,
729,308,301,833,515,771,904,666,567,188,457,572,839,971,505,676,935,413,559,
271,206,806,254,906,658,874,381,580,285,102,846,964,612,029,371,835,531,449,
651,227,739,947,623,241,345,383,221,893,860,245,583,275,529,731,984,089,083,
886,390,003,710,254,669,856,050,960,641,478,306,072,344,196,290,411,576,057,
977,011,759,615,488,542,221,468,514,576,663,762,914,321,474,119,890,307,519,
731,077,518,434,033,618,845,493,285,112,527,158,274,602,585,758,542,128,108,
520,486,598,451,407,242,346,947,406,855,569,157,427,001,370,150,539,663,679,
889,074,342,080,965,935,406,044,101,737,715,510,035,071,675,008,843,745,943,
423,954,476,234,862,996,266,389,436,722,014,452,604,242,849,595,730,248,042,
930,394,833,921,482,461,434,161,582,624,584,871,427,928,840,789,807,937,525,
147,445,483,002,066,289,090,564,060,832,371,930,548,966,821,487,814,810,374,
501,162,349,573,887,695,929,146,101,699,026,921,021,714,220,405,482,922,920,
096,493,715,951,780,240,360,462,270,619,377,454,398,502,981,484,067,201,632,
809,622,081,482,993,927,714,055,491,696,715,182,646,101,925,424,581,555,614,
649,923,346,998,404,260,990,796,792,048,387,311,012,504,918,746,430,589,040,
507,310,608,207,264,907,575,714,618,403,744,089,259,415,673,528,362,232,686,
785,440,499,558,562,340,827,193,747,373,312,914,075,346,578,183,226,834,036,
055,574,485,485,528,534,224,443,818,204,848,214,289,981,136,688,617,580,549,
086,799,174,469,056,203,267,196,516,340,450,722,346,902,924,699,351,048,599,
189,353,308,317,224,001,051,974,649,960,174,220,267,734,001,484,293,222,218,
732,055,220,976,552,694,373,294,751,961,654,938,433,290,796,936,871,036,665,
912,805,615,246,757,073,746,834,311,936,314,895,832,885,725,200,949,093,822,
231,999,206,924,212,140,735,500,188,621,960,480,918,795,842,680,721,743,469,
656,932,544,494,104,678,855,434,590,662,211,019,653,796,680,725,667,322,182,
615,561,221,760,877,776,203,351,807,577,963,239,133,125,482,583,319,093,510,
459,536,002,564,454,070,716,089,720,505,877,768,667,552,668,926,972,208,814,
562,454,729,096,781,646,905,572,688,768,783,623,412,831,108,255,037,181,192,
870,500,247,352,801,980,977,517,284,474,396,296,379,023,185,581,258,746,226,
781,526,277,660,938,598,561,231,536,715,575,631,196,766,525,813,492,372,483,
061,172,698,089,628,800,690,808,717,517,356,338,759,590,225,523,218,640,910,
238,375,164,484,208,044,970,991,332,638,775,673,168,248,065,204,959,090,576,
797,416,499,809,170,840,677,753,773,636,922,115,905,706,414,306,808,642,534,
871,859,493,424,290,184,910,676,410,806,754,745,326,837,039,198,541,444,622,
309,576,764,324,995,527,971,028,734,832,691,741,870,625,646,554,055,961,433,
995,183,007,478,000,554,492,419,312,285,633,208,068,597,408,150,655,383,771,
786,157,555,003,974,862,011,683,057,005,618,519,029,550,271,212,332,138,212,
843,715,598,509,578,557,215,346,914,179,232,262,145,337,676,462,103,853,639,
281,790,996,885,292,394,815,983,105,181,906,465,307,322,349,308,676,116,104,
356,220,596,110,280,354,326,887,351,614,856,758,596,426,416,279,513,189,049,
741,851,712,580,817,115,526,338,635,471,602,088,722,194,074,144,364,170,813,
742,447,763,144,397,914,357,464,788,813,744,605,790,989,692,442,085,887,100,
843,437,342,395,448,328,941,094,624,696,882,241,117,845,174,831,299,004,137,
336,537,875,649,462,684,697,795,086,068,675,327,668,425,919,505,671,307,803,
570,678,020,401,109,420,882,042,745,683,063,521,056,112,453,260,877,333,578,
220,934,955,306,070,505,675,744,517,963,289,406,174,281,828,749,851,448,660,
205,920,502,560,625,682,219,571,419,145,510,202,402,998,053,197,705,933,968,
980,695,388,997,501,620,909,823,283,354,010,210,871,359,610,935,387,965,118,
912,199,701,872,820,957,596,627,615,670,806,640,628,048,980,200,909,915,728,
214,958,555,038,984,106,087,026,520,133,022,971,139,429,726,535,941,127,443,
333,049,388,354,517,095,998,922,323,441,600,618,005,131,240,001,129,962,328,
531,082,300,215,526,084,479,595,347,991,455,894,762,456,854,058,017,897,981,
520,555,405,044,521,530,122,463,432,786,341,964,485,887,664,647,667,746,876,
467,901,056,431,381,172,077,127,506,342,148,838,227,900,237,659,314,795,721,
617,183,684,102,327,148,592,363,856,527,831,875,551,934,528,913,372,123,580,
848,491,810,564,916,919,508,338,458,473,356,214,593,272,417,302,866,299,836,
959,216,291,497,832,772,801,713,528,394,132,828,479,349,128,426,395,776,875,
085,763,130,743,272,726,640,270,353,425,977,720,356,288,276,855,658,394,054,
413,337,732,410,417,623,085,787,055,624,546,845,781,757,587,487,848,870,542,
180,233,328,209,043,545,395,614,020,380,035,483,556,716,204,924,429,755,561,
450,779,730,572,143,220,502,533,790,863,479,241,835,438,903,205,078,403,883,
308,457,294,967,749,523,919,485,002,273,122,978,996,954,794,522,411,068,517,
072,772,260,025,312,377,418,915,218,317,466,617,964,002,004,001,371,444,685,
400,616,477,826,549,250,047,403,598,837,967,402,944,129,784,339,376,235,578,
666,430,784,105,005,053,472,895,140,329,590,075,432,699,239,926,666,956,243,
726,302,818,522,156,470,755,588,760,295,849,912,150,087,220,684,571,058,810,
015,949,986,672,534,949,642,069,659,881,028,559,822,556,818,890,559,954,353,
876,589,243,248,976,114,190,847,051,010,317,068,008,303,230,170,748,411,467,
490,482,668,806,687,261,170,221,067,952,762,251,611,181,045,881,111,378,918,
467,428,628,841,016,172,819,483,405,285,408,065,112,728,009,920,844,478,022,
766,134,935,945,041,712,958,471,310,635,692,962,794,717,697,848,590,592,828,
242,664,916,053,767,461,043,197,447,488,401,787,770,504,835,051,788,655,930,
090,058,787,429,096,389,923,294,380,546,998,357,705,367,468,112,896,525,711,
691,686,949,442,339,068,553,744,388,013,904,141,509,843,899,298,104,416,613,
438,223,961,889,369,665,145,932,918,785,317,945,751,090,186,188,215,733,780,
242,628,720,494,825,112,330,548,782,556,593,378,410,582,604,002,106,257,415,
402,544,753,460,833,827,352,916,716,857,449,088,830,992,386,426,193,399,944,
383,604,290,079,705,348,736,321,589,659,576,311,664,707,802,835,272,922,858,
300,934,167,836,231,909,103,795,889,044,531,517,326,918,854,641,454,629,861,
956,869,771,193,356,632,697,092,585,168,562,297,293,329,623,843,448,754,610,
066,232,719,406,092,460,838,693,422,273,419,257,392,444,856,286,666,705,427,
067,656,405,696,922,258,470,779,562,938,660,981,544,434,786,368,212,360,477,
833,928,739,258,124,538,960,950,124,468,276,351,668,997,834,209,441,246,601,
444,262,824,965,394,462,647,349,484,078,831,727,061,597,534,978,820,067,811,
854,763,367,150,101,503,092,997,311,850,114,097,294,464,579,857,065,595,563,
486,695,563,781,043,504,871,722,029,150,790,530,535,915,401,784,788,214,309,
927,176,761,946,906,755,320,537,949,148,034,894,308,749,868,165,218,061,881,
062,770,308,433,058,978,379,703,890,281,813,344,872,790,385,082,139,840,746,
643,460,143,401,199,703,168,709,027,368,132,923,409,291,669,113,189,821,797,
028,569,053,743,934,206,215,155,701,864,325,893,793,360,373,886,898,913,775,
019,822,781,708,221,257,948,966,913,557,726,206,198,104,977,644,654,490,745,
999,420,565,288,475,322,191,524,395,704,332,227,302,798,434,114,843,127,560,
980,328,186,468,146,925,176,595,162,456,948,527,719,921,083,874,653,252,167,
197,919,371,153,434,926,511,929,747,721,155,131,549,954,377,090,700,835,023,
966,489,852,826,913,938,682,376,499,416,506,670,402,567,904,239,429,685,419,
444,683,527,600,527,639,088,603,718,654,258,195,520,418,424,012,209,833,934,
420,164,830,590,864,525,957,579,329,468,529,609,799,201,321,134,379,496,491,
465,389,973,015,627,476,205,477,922,401,399,252,293,923,919,133,030,833,026,
644,776,975,904,422,640,438,223,083,857,079,291,060,470,621,257,556,271,541,
789,262,017,481,073,310,335,958,471,403,900,390,843,033,945,788,757,471,477,
973,973,712,918,884,958,487,418,874,184,015,305,026,366,731,129,245,418,363,
841,113,595,750,667,842,192,572,081,524,970,255,939,542,270,446,942,907,441,
805,671,209,009,395,782,306,006,908,362,741,309,669,457,170,278,160,019,415,
934,149,144,459,593,951,508,352,506,391,393,373,485,503,694,530,621,786,716,
010,845,960,436,266,048,057,244,919,642,001,526,287,751,833,558,012,442,592,
014,686,797,310,320,080,634,331,616,735,398,587,871,419,275,147,694,578,696,
267,037,312,442,938,418,404,833,445,912,029,648,369,153,431,129,390,992,864,
351,651,280,071,300,724,623,846,087,777,127,388,534,462,489,224,680,217,209,
663,134,958,051,145,656,328,037,340,655,844,494,436,715,877,560,594,719,751,
936,554,978,529,126,654,975,340,963,287,271,876,435,180,167,744,479,926,106,
203,185,465,868,978,756,783,981,920,438,008,929,285,326,586,127,308,330,640,
920,141,582,778,719,127,157,671,184,623,802,199,141,814,269,888,232,947,756,
846,828,147,194,818,491,882,714,057,849,364,161,387,942,734,675,355,150,787,
277,983,123,823,627,065,594,400,697,261,384,087,672,104,542,270,309,344,025,
148,596,998,864,135,447,059,301,307,844,697,357,528,068,247,574,588,117,663,
852,883,233,455,888,367,334,868,078,922,588,013,012,495,274,086,086,426,292,
758,417,998,493,666,390,271,101,945,881,908,232,673,869,667,432,128,710,455,
346,329,685,274,627,953,959,783,717,945,926,748,204,952,720,896,486,893,884,
476,429,917,486,550,321,245,555,904,254,983,168,054,110,749,489,357,941,086,
557,249,048,933,352,975,820,985,284,896,344,492,985,876,626,658,182,798,384,
459,289,069,930,745,860,949,763,265,557,970,757,723,501,520,982,221,226,617,
667,639,463,963,103,228,994,669,345,143,006,690,931,583,342,586,651,861,013,
353,367,150,799,113,000,240,726,987,573,051,176,114,472,260,665,906,469,839,
179,089,520,956,193,507,022,003,167,025,917,767,111,579,500,364,775,302,105,
069,776,797,963,333,884,621,247,499,052,419,947,091,557,911,859,205,279,866,
449,523,734,105,643,579,614,975,643,781,582,168,822,576,217,941,803,034,318,
425,418,956,324,410,926,786,213,178,773,496,016,042,968,434,539,809,783,813,
725,293,244,873,708,595,558,971,636,402,807,326,521,383,709,845,402,388,251,
487,863,524,375,448,807,559,104,313,607,811,579,188,034,485,801,084,203,823,
628,929,622,575,497,237,904,176,080,544,293,334,457,061,701,690,429,336,005,
826,682,612,425,494,794,158,879,160,377,593,098,211,384,918,697,992,378,995,
448,501,022,585,601,107,933,046,383,875,570,715,193,131,864,449,800,819,950,
533,708,549,018,183,239,922,800,325,473,845,909,150,089,939,535,695,814,280,
647,138,496,037,372,547,674,394,125,050,378,524,365,111,746,066,057,470,393,
906,265,055,416,258,255,203,130,639,159,804,056,476,890,376,343,361,479,986,
394,652,514,669,826,523,562,667,030,014,472,239,522,969,292,246,270,942,730,
142,065,208,042,165,019,471,627,811,590,307,928,460,199,952,766,567,718,622,
644,382,600,461,554,431,241,647,040,468,034,579,904,888,243,606,402,153,411,
263,020,833,092,509,098,161,939,735,842,922,965,802,345,171,384,917,632,902,
310,779,714,223,424,192,548,432,267,145,119,133,146,545,086,813,640,441,345,
490,271,077,465,907,230,423,793,958,527,094,638,124,295,153,770,527,924,087,
641,152,946,698,285,788,336,017,200,629,870,295,451,977,672,968,859,816,822,
940,606,886,303,729,542,059,190,069,881,594,541,002,609,176,590,957,874,892,
577,955,523,636,533,321,123,185,328,466,738,509,378,981,493,235,587,158,405,
346,713,220,746,977,009,441,222,372,921,634,111,447,984,770,560,198,010,726,
505,087,343,268,366,317,718,161,654,061,257,521,413,149,265,225,724,168,189,
425,238,761,313,434,564,416,120,711,633,857,718,705,691,615,646,022,695,500,
516,949,636,664,078,396,645,715,124,201,227,100,579,960,872,071,737,583,472,
471,259,353,948,855,213,489,926,222,216,478,165,583,882,276,660,751,335,273,
553,106,798,211,007,336,128,944,394,718,613,664,938,253,304,341,497,780,266,
765,657,865,989,149,621,076,216,002,154,182,327,945,794,603,815,349,636,697,
479,623,318,189,039,497,561,322,635,429,922,677,617,255,424,349,499,075,245,
733,726,361,749,137,748,672,411,665,116,987,087,440,675,614,053,591,597,926,
629,789,885,278,753,817,881,906,439,805,305,343,438,635,545,971,009,603,440,
309,239,754,293,606,761,771,482,472,777,988,599,712,574,895,485,412,113,500,
141,438,396,471,992,775,300,690,334,561,654,880,317,106,153,127,674,874,159,
788,544,823,719,747,958,770,597,650,723,910,156,514,564,225,729,791,174,619,
546,509,713,691,117,925,562,212,799,297,212,326,467,388,330,412,765,824,391,
684,747,531,445,305,188,035,875,237,746,101,212,302,153,465,642,524,899,423,
409,499,177,938,367,918,947,681,330,831,139,601,411,514,590,691,180,181,028,
860,044,768,000,297,580,007,079,954,272,643,328,746,332,242,038,875,177,334,
716,539,000,615,493,705,799,366,012,168,613,252,424,093,510,062,508,565,047,
207,954,167,240,351,279,719,375,132,399,632,756,451,570,814,505,750,406,333,
701,149,742,673,005,795,089,200,764,301,055,583,964,484,753,631,987,487,862,
516,767,406,270,221,912,331,815,035,463,938,823,879,770,503,098,176,321,001,
262,296,597,092,352,393,230,994,421,661,996,282,304,276,225,546,787,969,295,
713,470,991,720,769,938,219,750,058,424,178,050,557,888,210,091,076,283,283,
100,138,729,821,369,266,970,995,048,055,742,670,342,757,761,477,711,559,476,
568,909,423,921,696,838,285,861,648,177,328,819,384,792,992,115,153,571,110,
114,001,934,962,800,484,376,319,408,453,094,910,353,000,889,628,630,014,897,
385,162,269,105,461,698,813,479,227,984,123,031,401,187,516,734,919,996,631,
535,821,444,422,200,860,520,054,861,959,572,778,020,103,225,144,152,550,711,
034,529,642,899,437,939,005,410,683,546,865,082,694,472,093,618,542,528,808,
213,067,375,030,768,094,564,970,114,995,306,993,497,477,447,787,069,742,606,
254,950,703,309,126,322,812,617,632,539,172,022,717,131,780,086,616,230,257,
312,269,127,499,978,358,440,891,504,973,190,402,200,737,370,603,059,715,935,
790,865,518,681,675,153,252,149,555,276,570,598,302,962,507,797,958,108,612,
787,408,642,168,328,868,067,251,935,317,621,253,406,316,681,198,582,772,531,
251,596,806,047,242,278,158,638,580,072,036,197,860,180,955,137,845,667,050,
227,656,643,771,023,625,483,190,565,500,647,045,625,144,439,772,789,312,534,
990,810,689,276,910,215,013,401,751,878,462,808,548,619,910,612,771,441,591,
653,507,532,875,581,001,462,552,930,183,741,718,417,819,681,914,269,106,937,
479,509,148,516,937,434,705,301,912,778,702,749,581,123,736,989,925,032,899,
649,147,280,253,017,663,442,954,838,848,312,809,034,450,379,418,193,191,114,
567,338,286,918,412,537,456,909,364,850,997,730,832,188,895,500,490,311,795,
743,949,246,830,823,542,510,885,885,616,620,059,554,793,077,012,340,407,846,
858,491,891,571,274,844,375,175,429,340,175,111,835,017,715,406,054,233,768,
299,627,010,378,594,888,772,803,204,686,701,901,805,513,201,390,402,057,656,
539,319,071,190,790,316,118,784,415,613,943,961,207,898,706,317,870,828,848,
566,569,389,713,868,861,907,482,432,282,444,230,144,100,101,886,615,665,395,
692,222,737,951,905,977,347,375,249,771,900,990,897,778,085,679,000,814,557,
949,018,332,577,574,195,284,537,843,846,935,609,127,166,556,157,129,620,883,
613,299,298,162,851,593,311,630,461,529,166,619,658,848,065,182,918,223,991,
754,446,494,555,236,732,507,558,003,780,329,855,038,415,339,516,435,600,383,
967,240,692,923,220,896,201,840,792,637,736,290,170,218,342,325,081,095,477,
651,640,068,044,413,632,208,276,875,392,119,757,120,443,231,593,381,869,014,
256,269,309,220,495,949,179,799,279,666,376,708,706,440,866,521,897,801,706,
496,915,061,986,726,029,698,840,463,169,707,696,840,232,545,602,730,580,335,
314,600,592,897,286,503,831,997,195,882,027,419,554,118,758,879,472,735,456,
887,445,778,346,716,004,234,940,965,895,973,036,308,396,319,676,726,902,820,
828,870,732,416,073,970,174,968,173,564,042,122,202,085,364,965,793,540,465,
767,528,304,179,547,879,888,004,119,282,482,029,423,702,682,959,052,224,136,
055,800,630,081,822,707,463,934,757,257,652,954,315,724,070,294,110,472,168,
667,843,857,051,149,933,477,529,953,652,344,652,604,094,820,928,683,182,469,
262,015,372,297,117,363,810,465,334,296,414,295,951,557,095,767,400,063,920,
395,917,795,997,819,571,751,705,789,532,575,127,130,698,631,617,312,735,486,
067,568,014,149,382,404,866,376,986,509,412,581,667,026,905,748,921,160,625,
388,058,612,203,772,905,912,796,962,432,499,505,168,577,715,943,130,417,786,
378,812,171,445,279,886,061,878,643,719,281,189,384,736,063,726,588,259,912,
190,543,406,784,846,136,883,108,422,508,567,578,904,588,391,577,874,780,789,
105,246,171,247,093,571,552,330,207,275,135,596,763,302,684,827,222,582,692,
049,242,646,239,726,951,845,682,181,694,334,083,829,642,057,311,806,056,170,
930,165,982,363,350,841,619,744,431,523,012,851,107,280,397,545,360,896,881,
928,230,992,120,624,883,367,855,128,478,864,130,663,132,514,454,667,679,767,
565,935,237,777,226,494,496,971,351,060,502,384,686,159,844,368,578,884,281,
435,381,010,954,508,885,939,591,708,599,116,472,367,597,555,396,935,591,442,
269,920,408,908,527,585,991,409,678,480,440,728,673,214,721,457,347,848,871,
141,344,001,953,239,707,616,370,167,864,118,594,172,233,593,141,368,946,129,
071,806,922,150,295,912,400,258,064,793,293,128,353,344,858,813,234,126,555,
951,619,313,251,851,774,763,150,037,659,189,748,961,024,337,778,217,183,325,
094,862,133,461,198,775,576,137,159,168,045,879,940,847,734,939,372,694,113,
408,597,058,118,987,060,643,056,579,556,648,493,857,299,888,295,758,812,462,
252,090,511,341,763,587,884,414,675,469,832,669,252,033,586,435,916,272,597,
332,260,627,218,046,892,379,882,425,557,474,602,001,704,488,194,847,980,509,
621,806,358,173,627,188,788,903,635,632,463,405,028,163,041,689,796,516,854,
912,271,979,091,259,202,003,684,661,225,608,510,381,720,224,590,433,089,992,
201,249,847,258,510,679,724,715,664,934,197,909,777,085,187,041,443,800,696,
305,076,259,830,824,665,720,998,037,235,593,688,012,525,804,050,089,892,736,
856,445,000,335,575,963,558,591,057,784,817,879,650,285,398,206,294,249,088,
378,971,835,842,677,595,396,398,032,907,312,485,733,132,011,654,576,148,576,
631,133,676,967,416,726,778,078,699,149,854,783,809,355,515,165,914,673,556,
850,482,011,381,905,627,684,405,225,837,784,352,695,470,843,795,755,378,187,
712,654,630,365,291,956,407,144,654,878,067,313,928,655,675,051,571,540,204,
419,425,649,446,244,144,459,418,914,359,703,069,871,579,465,156,005,521,632,
248,166,753,175,361,613,275,236,202,265,404,972,528,762,114,722,678,794,874,
124,371,054,894,997,739,589,928,437,896,486,553,478,739,707,760,506,490,967,
452,042,987,990,841,189,071,349,824,200,121,634,061,305,165,590,086,251,290,
468,248,216,230,526,401,333,871,689,682,175,003,406,689,711,269,062,718,839,
137,091,910,264,130,534,171,520,988,824,868,785,795,446,047,563,735,924,936,
169,821,282,190,117,451,822,570,306,098,548,532,199,235,597,870,847,592,162,
442,530,870,874,816,276,006,741,027,137,740,301,854,458,484,568,304,029,034,
171,516,071,495,250,987,750,847,493,406,384,469,859,776,955,457,055,138,603,
728,900,128,613,578,010,361,205,921,718,778,651,714,698,363,906,314,130,881,
841,478,878,359,334,186,000,295,352,569,387,449,279,149,274,499,810,419,048,
162,632,486,515,761,290,862,992,760,695,031,675,549,655,802,180,389,640,471,
010,492,845,908,281,208,388,183,962,135,080,312,524,446,551,524,500,220,383,
670,512,797,055,688,993,936,241,269,975,952,987,888,680,762,963,325,437,646,
105,457,751,564,492,334,624,676,114,120,238,923,045,499,525,423,381,755,141,
048,139,553,094,585,851,613,851,067,909,476,723,417,718,491,147,257,484,751,
050,503,796,335,051,225,637,565,560,295,373,620,833,683,132,375,534,303,668,
086,130,663,911,465,030,047,323,502,801,451,190,694,400,798,934,500,398,368,
406,822,634,214,898,309,686,224,740,271,202,875,912,588,882,205,810,731,519,
267,378,924,531,596,289,978,549,729,675,077,464,167,734,848,585,602,062,106,
439,287,780,726,810,142,589,057,211,380,478,724,677,363,994,831,782,337,296,
815,223,886,710,135,619,506,870,770,939,823,678,050,407,815,823,418,277,308,
867,524,429,088,167,897,270,559,162,159,101,427,902,562,547,314,152,136,006,
208,904,800,547,319,822,957,035,124,650,608,436,050,962,421,961,222,726,459,
773,882,446,476,376,475,984,779,594,621,640,757,560,792,945,658,411,566,328,
999,864,182,585,836,492,592,989,450,187,865,104,419,985,772,706,752,184,193,
576,552,786,287,021,120,750,583,546,455,105,000,549,953,087,887,059,558,862,
715,780,007,715,450,992,729,599,524,527,404,875,680,990,717,955,936,752,056,
893,539,105,496,455,304,060,309,438,137,519,950,303,316,684,157,845,642,512,
624,860,600,952,921,711,389,545,367,962,739,552,741,955,104,683,617,896,030,
692,888,459,558,633,688,874,530,883,237,088,874,017,945,928,730,736,834,784,
248,787,109,388,858,165,718,558,128,070,648,548,762,266,109,576,338,176,538,
142,213,914,427,763,852,510,464,342,191,896,288,134,911,609,090,935,985,078,
845,926,358,621,419,338,335,054,352,383,405,372,168,778,281,466,385,706,468,
279,654,586,047,146,252,549,614,986,680,234,014,954,258,408,184,044,068,178,
936,901,069,349,594,306,945,790,195,768,790,193,286,259,634,175,421,985,037,
875,135,661,397,058,851,963,886,741,254,072,573,300,174,936,897,236,474,353,
648,160,943,258,342,367,100,348,310,295,271,734,352,253,129,290,540,647,502,
995,445,902,843,164,954,312,928,632,672,724,405,460,019,616,153,099,215,357,
410,816,681,395,746,589,306,731,361,307,838,117,984,858,713,438,296,803,411,
007,961,429,029,672,887,894,835,271,312,436,458,422,927,809,383,312,658,276,
772,922,247,055,197,013,821,025,787,588,597,599,540,008,224,399,168,659,599,
493,410,801,307,051,917,557,628,034,711,989,750,322,987,953,216,276,986,134,
653,897,873,337,685,425,876,556,768,211,419,110,054,785,144,062,707,205,162,
146,315,575,615,471,539,155,035,515,960,939,788,828,189,714,339,442,637,332,
472,795,202,187,365,242,402,057,244,802,913,986,377,341,189,444,716,423,498,
227,528,343,778,636,903,176,331,208,337,764,724,323,071,126,864,539,102,254,
758,985,402,972,220,332,963,141,693,244,761,044,349,167,535,395,844,087,568,
164,761,149,861,152,850,519,523,775,393,827,051,128,505,683,898,999,415,809,
072,031,128,485,175,738,965,826,005,820,760,759,925,415,807,056,321,693,738,
312,919,928,663,703,937,422,543,099,594,979,028,521,867,930,502,119,411,593,
856,981,512,299,386,733,889,497,704,250,412,120,695,423,898,077,813,643,851,
041,179,583,033,945,458,322,486,818,852,182,447,345,023,115,453,451,302,781,
107,061,941,802,866,613,298,514,533,371,757,764,634,925,391,260,876,338,961,
875,652,644,897,868,000,755,474,885,847,298,811,537,268,744,087,884,864,431,
730,185,892,244,911,065,010,196,616,040,789,034,197,633,964,693,382,098,415,
192,294,944,095,253,156,889,811,472,048,691,248,487,114,809,935,974,006,089,
134,450,132,149,259,679,983,753,017,718,688,299,624,906,298,292,888,731,464,
678,452,362,849,670,612,485,871,754,623,842,252,087,919,354,729,265,394,179,
965,143,882,093,401,246,624,901,155,704,912,235,432,616,577,513,711,888,820,
457,715,524,541,085,400,460,338,106,759,691,721,991,219,652,846,821,909,429,
608,285,097,370,189,622,434,054,531,963,244,075,725,225,710,702,256,640,749,
471,369,574,525,677,538,079,357,856,660,931,464,442,818,827,471,363,968,940,
565,789,101,051,446,420,830,580,666,377,577,468,672,884,714,214,233,049,985,
651,415,193,209,134,126,050,979,750,398,196,705,733,660,313,881,639,793,777,
461,607,381,102,494,987,107,972,909,863,643,638,596,935,207,220,669,333,629,
689,765,927,055,623,652,871,932,286,415,181,046,536,935,131,933,365,227,723,
057,875,193,963,138,473,838,084,390,120,195,044,160,719,453,667,453,331,303,
253,113,204,433,055,873,614,894,604,330,627,580,973,132,778,152,170,321,122,
501,332,098,933,133,204,103,399,551,102,781,060,469,821,752,281,762,695,092,
125,366,600,026,391,739,866,028,398,980,246,528,022,970,141,982,220,633,490,
987,968,407,628,641,058,323,335,708,259,197,057,989,843,445,247,894,264,790,
575,813,747,547,974,699,812,040,745,489,342,563,515,049,488,530,817,987,316,
593,327,177,441,535,735,115,144,277,358,461,583,961,491,338,548,743,056,482,
574,501,534,181,087,059,240,140,919,357,988,540,846,180,468,711,538,941,441,
591,183,734,965,411,316,853,793,370,693,700,510,568,689,261,297,728,477,956,
218,551,678,448,533,179,877,712,018,717,081,145,173,700,004,170,310,360,393,
001,361,989,389,738,398,145,712,560,633,622,688,749,769,806,110,105,627,002,
503,818,075,152,280,154,498,471,800,593,232,789,189,409,925,280,465,890,550,
349,555,241,677,064,402,646,919,114,623,901,663,910,201,725,319,392,571,847,
854,248,195,981,320,058,106,518,652,322,979,244,225,095,184,783,468,207,884,
248,714,711,393,863,296,601,204,754,548,996,037,451,004,314,161,823,109,703,
979,073,498,681,622,653,513,376,394,232,003,135,552,203,395,323,614,989,440,
248,817,538,837,554,363,567,562,793,927,482,548,611,427,845,462,550,414,659,
233,826,986,762,078,886,896,140,547,475,916,036,360,324,742,092,952,917,152,
008,503,042,851,526,190,842,616,915,760,929,962,728,382,684,587,819,815,730,
528,201,597,444,462,005,077,690,699,072,262,565,569,957,865,588,700,229,673,
410,722,315,168,721,797,373,943,992,638,941,776,846,453,250,468,800,904,687,
100,290,397,065,720,773,546,203,640,015,365,745,950,806,523,752,808,297,324,
840,658,718,994,601,773,699,616,170,631,390,475,665,151,517,630,879,078,197,
905,599,083,916,308,194,398,245,267,561,123,617,006,421,895,939,747,050,247,
856,193,502,847,663,813,243,915,477,855,580,946,385,441,552,541,412,885,488,
699,988,145,631,086,349,240,883,002,679,235,520,163,738,974,036,744,672,180,
583,023,382,657,195,420,258,177,899,712,494,337,140,741,294,865,667,487,959,
805,800,218,423,222,701,029,052,898,453,667,435,766,585,249,584,652,028,791,
574,764,147,254,808,865,776,808,128,617,627,592,892,770,818,229,180,431,748,
528,812,724,666,807,860,743,905,757,908,412,106,165,696,783,206,356,460,090,
500,727,540,126,049,279,706,855,779,788,457,163,720,519,877,949,205,470,810,
169,136,348,993,033,720,224,414,044,388,900,095,795,377,292,792,548,779,580,
588,833,957,913,612,246,775,107,552,704,639,359,992,339,056,676,525,183,956,
289,180,623,076,649,338,517,025,437,330,861,794,529,504,417,396,553,602,379,
457,175,317,783,445,031,276,527,823,969,085,473,222,506,564,555,618,835,889,
083,290,211,866,183,932,418,940,142,670,451,092,623,199,330,616,196,628,801,
990,304,392,600,243,614,915,245,215,041,529,228,414,505,251,209,492,681,885,
515,752,337,033,899,050,163,822,918,929,243,495,364,802,102,893,251,489,082,
948,028,911,755,878,563,965,654,685,906,394,266,079,743,128,081,871,852,340,
758,563,595,259,690,999,995,685,660,188,171,698,244,527,275,182,120,722,618,
893,583,651,787,274,880,945,949,269,186,882,289,768,528,887,921,892,176,732,
628,510,441,816,108,577,254,817,280,248,444,361,343,568,121,139,435,332,671,
954,460,085,894,492,117,188,389,502,755,114,257,669,750,287,896,014,042,557,
321,894,167,472,901,791,715,773,872,109,995,878,792,233,733,309,575,854,183,
836,517,717,250,953,416,984,433,907,944,066,353,187,471,900,948,488,452,924,
499,882,227,051,569,083,704,397,325,052,954,173,843,917,079,419,260,071,098,
568,944,305,509,286,331,591,420,038,036,547,752,886,304,565,583,321,937,126,
819,109,588,756,772,598,479,487,609,092,760,831,979,266,336,456,922,321,076,
804,305,226,407,883,724,457,733,476,074,055,161,461,768,814,082,338,721,957,
646,101,661,910,933,910,111,032,444,615,300,504,238,953,624,110,101,453,021,
238,213,873,343,213,896,056,865,199,696,391,882,399,380,271,974,510,461,106,
575,907,416,037,866,118,007,739,624,295,670,139,856,027,915,855,149,898,012,
296,039,341,532,623,727,370,502,713,924,966,787,856,550,682,591,214,030,604,
634,848,033,579,418,194,538,745,576,953,107,734,124,597,470,062,652,726,976,
675,315,707,612,483,973,885,120,915,736,506,603,415,145,018,699,558,123,416,
721,249,508,016,062,020,778,863,281,125,592,289,959,989,906,748,863,750,959,
330,645,412,995,166,846,964,408,243,241,198,355,129,567,738,326,710,126,131,
922,023,863,110,613,079,473,391,032,255,826,034,033,290,337,792,709,302,086,
367,920,116,300,032,611,966,808,549,295,507,878,590,631,862,291,342,897,947,
368,962,770,396,136,473,014,728,449,952,176,072,029,513,034,364,423,717,818,
662,320,166,372,350,114,502,896,926,377,026,259,580,049,716,011,585,909,637,
438,856,194,982,042,652,253,019,440,355,164,577,372,685,070,358,742,823,417,
676,354,745,526,670,450,003,619,353,448,588,458,261,418,229,402,351,068,736,
671,055,445,742,640,963,434,721,539,696,673,741,309,407,155,398,188,581,584,
430,308,129,830,730,247,964,830,046,623,487,001,989,365,973,683,232,651,884,
748,266,159,367,875,009,211,720,807,744,337,822,151,521,579,083,210,447,642,
735,698,851,542,255,448,166,407,302,482,844,635,984,612,295,767,136,753,985,
814,985,443,650,612,730,608,074,499,183,053,460,984,139,726,986,420,028,793,
878,123,898,558,746,922,595,522,802,629,987,685,198,706,562,934,954,045,565,
853,598,712,155,069,925,214,206,652,548,116,933,679,591,677,401,042,161,562,
476,383,618,905,670,244,314,020,539,254,508,395,022,230,665,818,199,553,098,
109,598,072,253,045,300,198,605,138,081,021,999,971,423,047,413,010,043,488,
831,454,551,304,855,282,915,630,832,418,057,865,027,176,913,096,938,954,050,
219,956,253,520,888,787,498,475,222,732,085,386,934,003,995,222,547,750,223,
026,887,415,205,988,230,130,217,714,833,627,013,272,691,436,654,423,258,457,
663,811,313,918,446,186,241,566,120,250,363,961,680,313,679,244,334,250,264,
173,571,761,594,266,471,085,253,461,863,530,674,202,804,470,253,755,886,654,
942,774,246,252,662,326,268,184,395,077,202,832,286,590,604,020,790,891,194,
022,032,018,727,871,682,712,752,110,835,653,116,699,270,444,432,525,816,323,
420,043,616,189,969,604,824,173,800,194,263,391,604,511,721,556,669,647,834,
217,176,392,717,986,485,001,797,032,080,658,617,701,061,741,359,956,961,067,
279,836,398,588,628,387,639,554,060,148,139,318,855,021,365,722,820,838,478,
510,441,109,259,179,552,308,051,919,311,488,173,469,538,011,440,406,661,629,
013,084,089,468,414,466,371,646,840,595,427,070,248,745,325,683,387,942,704,
019,709,489,420,955,091,217,283,742,811,296,494,053,941,841,786,483,857,782,
369,273,283,527,611,607,972,955,174,948,074,971,064,570,985,531,160,445,132,
930,355,478,528,902,131,870,682,161,402,301,541,901,239,749,819,078,181,609,
885,059,438,523,650,860,684,204,676,333,014,296,492,523,125,607,969,354,693,
679,835,931,340,939,449,257,530,301,980,639,687,568,450,052,682,440,398,147,
650,721,955,642,500,171,107,228,203,416,513,321,356,646,658,235,908,091,522,
413,174,340,936,274,175,702,021,693,531,589,438,050,871,070,669,641,900,939,
637,879,680,992,857,740,266,199,793,519,843,295,005,769,526,331,721,254,151,
377,183,736,201,803,087,239,979,595,093,670,659,090,452,926,338,985,095,177,
594,286,274,508,589,438,737,380,626,809,936,653,984,545,418,811,942,802,662,
814,071,391,832,383,658,009,066,043,896,905,297,730,311,978,903,998,428,314,
314,947,690,487,991,738,477,928,339,376,801,162,326,879,047,133,721,133,654,
079,836,509,861,671,175,957,656,503,975,204,779,282,554,880,088,439,480,076,
535,774,532,704,197,433,334,622,585,028,681,319,113,730,721,033,044,631,605,
251,112,157,273,142,068,154,130,170,955,923,916,017,641,057,234,849,251,198,
258,708,510,123,011,744,200,126,280,730,726,794,094,304,527,688,424,477,171,
603,563,401,873,748,914,032,632,915,000,577,388,316,426,253,512,877,047,146,
378,937,330,292,987,038,504,301,004,749,812,176,498,167,559,924,085,617,456,
421,466,043,517,221,425,623,280,016,520,179,821,891,552,919,459,538,160,799,
522,918,053,118,561,340,957,858,975,986,921,786,556,683,253,187,225,171,605,
718,435,549,217,598,138,416,003,578,044,677,384,307,730,287,392,934,437,853,
916,379,815,843,227,199,657,167,885,417,213,823,385,642,431,684,999,878,450,
470,356,071,045,599,613,524,768,157,912,179,440,304,514,004,004,138,918,527,
140,653,595,634,798,456,318,751,025,688,733,205,911,252,277,895,672,998,375,
232,693,005,249,045,488,794,555,967,553,964,319,267,380,382,324,878,545,531,
514,113,264,156,024,477,052,047,884,304,707,512,121,591,265,511,735,622,322,
810,743,730,261,272,637,944,227,965,995,526,377,598,767,284,526,084,578,705,
299,813,373,143,504,875,352,658,628,147,744,628,595,144,987,854,158,200,620,
601,662,763,136,127,798,077,055,981,346,476,548,758,725,001,514,600,141,290,
623,539,427,033,773,583,874,417,686,509,080,961,914,688,840,037,461,258,800,
368,782,411,994,778,322,216,757,081,327,330,793,286,865,324,782,372,724,964,
758,592,826,856,411,145,654,883,704,230,728,315,696,819,453,146,233,268,007,
689,458,506,373,622,487,529,675,052,749,066,633,179,024,659,939,345,095,771,
590,143,082,255,785,106,220,084,108,037,742,923,144,217,348,849,462,913,403,
971,753,651,562,127,909,860,232,270,003,572,066,892,638,743,374,754,454,789,
610,012,950,901,567,874,442,130,677,604,912,834,776,057,240,318,633,176,816,
687,393,538,155,220,218,327,008,098,086,098,685,335,882,192,784,870,774,067,
092,332,269,112,938,356,520,013,167,252,947,721,124,418,931,460,753,957,464,
776,117,804,840,748,264,911,820,246,666,331,250,443,269,991,143,123,869,579,
464,320,941,909,185,068,293,101,790,210,083,032,966,033,720,350,897,246,321,
484,382,268,041,197,269,689,980,519,818,090,825,221,615,726,781,526,449,700,
841,507,154,256,746,364,401,965,981,788,517,245,340,213,657,141,148,843,004,
275,508,484,486,901,286,200,658,255,111,886,722,176,028,152,010,278,051,044,
550,899,491,524,518,822,149,195,296,808,560,799,445,227,162,924,773,887,821,
703,237,704,810,969,126,979,672,181,188,534,219,157,660,784,354,272,608,321,
301,302,473,347,781,106,587,022,951,009,036,208,633,750,588,169,651,939,149,
217,406,239,730,089,620,270,538,817,556,636,480,783,989,732,316,214,828,401,
482,333,154,725,162,216,659,831,353,035,435,197,044,763,684,699,739,347,142,
264,826,742,991,155,701,207,811,698,367,201,229,318,930,229,635,689,661,304,
196,898,148,983,857,442,312,344,152,805,788,350,361,066,769,112,359,265,960,
790,118,623,023,186,272,689,975,365,321,969,742,140,030,225,529,330,691,729,
945,219,636,019,659,038,214,359,321,411,638,817,029,388,300,832,167,965,613,
217,764,551,897,909,706,540,500,181,155,205,276,385,471,974,241,330,373,173,
031,148,655,307,304,003,209,491,293,296,599,540,915,520,791,936,589,837,201,
283,749,371,771,843,997,234,143,583,811,482,813,584,256,585,367,452,600,052,
050,065,128,463,168,263,362,000,115,557,392,349,872,170,612,770,787,834,541,
474,691,353,522,789,478,009,523,763,537,415,341,439,050,576,216,338,086,247,
208,476,214,783,147,651,404,194,230,460,116,037,100,610,008,106,652,225,683,
261,892,568,555,879,380,686,735,824,291,554,335,284,783,315,562,011,773,298,
914,184,216,072,785,844,196,798,680,037,522,882,122,561,481,575,470,194,043,
883,817,532,278,551,900,969,834,309,090,115,795,536,666,953,410,302,530,674,
038,076,223,015,384,452,184,326,020,200,581,138,406,021,176,886,247,267,391,
490,727,001,793,863,366,638,855,535,412,588,463,579,938,244,427,864,748,317,
373,129,255,588,694,564,631,635,344,635,554,559,375,013,709,959,057,895,898,
485,598,700,727,822,616,049,475,450,315,644,355,799,679,745,210,032,534,860,
646,534,453,280,511,470,283,066,617,427,782,007,651,784,653,371,895,127,391,
589,750,574,266,559,289,846,378,909,516,003,278,099,894,544,047,003,780,720,
244,953,517,747,642,910,146,483,625,169,086,136,037,712,886,745,478,598,952,
312,030,398,421,458,246,905,162,072,253,982,181,841,762,852,424,147,385,657,
097,988,929,349,281,027,990,659,250,778,494,814,645,034,377,862,185,460,936,
257,122,355,521,979,540,137,701,319,391,518,820,545,548,170,522,567,833,433,
376,054,362,383,363,384,606,566,186,335,443,934,243,454,048,259,663,065,764,
677,030,208,549,780,637,572,758,536,321,870,265,961,251,483,933,693,353,843,
916,906,546,851,358,112,408,607,489,785,741,104,377,037,253,565,807,579,594,
235,063,514,604,520,010,770,137,466,817,632,746,191,810,159,445,751,661,519,
897,283,837,057,993,241,309,344,362,684,786,555,345,085,606,672,115,116,790,
524,268,779,419,366,986,761,638,719,456,565,015,985,586,985,739,357,063,247,
666,305,747,017,372,522,473,735,516,648,713,419,227,955,935,805,652,139,293,
209,686,369,536,386,855,565,035,341,299,586,886,476,717,417,239,503,006,375,
450,349,472,234,371,119,018,316,841,596,496,368,436,955,489,321,956,051,338,
444,787,544,790,389,820,834,258,669,418,619,300,872,649,175,688,335,239,012,
500,792,505,686,996,456,486,021,880,502,293,433,090,762,130,031,377,936,746,
679,773,281,195,323,760,668,348,668,575,521,083,021,973,809,456,528,828,146,
376,639,561,390,245,431,788,374,951,358,192,703,464,488,421,118,684,843,478,
039,510,351,587,060,788,809,796,248,939,737,234,487,300,365,032,576,531,446,
766,429,086,045,980,253,627,935,369,094,450,168,974,487,787,080,992,125,044,
666,601,673,303,364,512,370,580,601,685,382,619,479,260,253,710,213,837,919,
430,948,969,345,502,724,381,674,200,433,417,906,069,459,009,612,378,051,730,
207,876,754,835,703,376,408,742,995,516,308,429,669,544,566,218,029,029,107,
405,224,397,250,973,074,195,399,383,956,434,146,069,881,803,241,648,650,644,
852,566,756,506,319,849,644,086,397,183,290,307,304,677,057,783,228,723,737,
875,519,527,816,735,943,315,415,301,635,394,512,120,377,382,685,042,488,307,
611,866,640,435,624,511,781,936,247,259,710,092,826,788,045,895,156,040,435,
095,642,558,586,224,470,873,723,867,886,976,582,996,389,486,133,048,522,871,
155,279,076,696,646,797,020,885,742,261,553,917,635,567,587,985,165,237,001,
910,257,568,711,781,601,672,599,283,012,866,316,927,768,526,679,669,825,026,
656,449,154,527,435,333,651,651,097,499,299,853,953,620,104,136,474,188,142,
318,567,554,879,039,555,898,364,241,765,488,575,256,443,053,162,262,580,182,
339,540,816,668,197,861,044,655,606,497,688,552,160,975,481,869,944,341,649,
029,418,433,107,901,848,785,825,942,352,645,833,439,287,188,710,991,788,203,
193,998,573,084,419,855,776,242,080,455,597,778,240,445,751,215,984,557,364,
951,570,825,253,227,785,647,299,644,694,409,927,186,603,709,226,107,267,976,
757,931,248,538,389,550,685,164,392,210,290,150,705,149,945,659,936,553,302,
797,043,777,854,530,620,900,945,581,780,679,012,349,982,969,055,271,746,300,
431,020,112,180,351,170,907,264,346,170,875,169,098,451,141,499,393,149,774,
430,930,756,301,445,554,825,944,092,408,676,693,643,385,453,705,708,614,730,
154,784,195,881,246,935,605,274,275,920,047,420,992,172,235,684,222,674,721,
682,956,465,127,778,140,548,100,901,456,462,600,449,507,300,877,914,653,342,
607,510,645,481,470,544,618,754,307,321,550,020,387,610,202,962,446,288,256,
360,401,919,405,337,837,804,554,368,287,070,590,374,205,412,829,506,585,735,
970,892,412,580,825,945,804,558,542,706,622,169,035,859,069,104,145,798,012,
507,346,935,211,349,469,666,274,101,181,040,503,188,526,418,588,780,405,399,
626,680,637,444,072,430,484,487,008,311,666,707,977,620,146,545,775,587,443,
746,747,289,030,298,296,929,924,716,228,459,898,627,632,396,389,678,513,610,
454,074,279,726,559,729,702,262,829,853,800,071,533,735,308,344,539,657,374,
884,039,979,029,866,054,536,322,480,626,612,250,332,623,619,502,508,401,846,
547,928,477,659,484,079,736,599,817,876,707,095,233,622,833,187,453,088,074,
022,450,989,257,031,144,519,593,217,975,614,985,785,094,201,877,490,811,559,
260,066,760,372,700,978,890,890,585,722,078,859,251,999,357,884,439,264,563,
583,238,016,589,846,870,099,235,832,716,317,007,586,031,366,957,502,501,983,
766,669,376,925,494,216,276,940,421,838,547,638,005,073,455,247,095,225,294,
640,034,688,265,427,190,506,733,072,192,189,230,601,267,358,930,770,135,067,
080,119,470,529,913,137,342,927,941,717,515,106,815,990,407,634,987,595,861,
088,146,183,348,862,359,208,405,371,350,020,988,690,669,749,353,299,995,241,
119,665,167,876,249,225,761,755,177,857,589,936,629,642,957,683,314,707,884,
475,394,890,296,113,786,662,356,823,443,123,837,306,006,006,121,914,325,604,
696,072,233,256,272,398,620,163,174,890,469,900,725,603,921,723,750,145,526,
270,433,757,347,248,989,875,532,115,921,248,363,090,468,142,699,562,498,820,
370,925,884,976,854,668,207,427,077,606,390,981,944,389,181,647,374,044,527,
363,790,763,571,909,108,479,847,559,772,803,091,191,810,092,274,712,623,376,
604,901,119,190,315,375,334,559,776,508,658,114,746,903,614,735,111,770,900,
748,818,524,803,212,909,652,722,284,697,635,461,075,902,212,078,730,613,112,
922,333,352,602,196,764,221,338,541,380,253,916,887,492,884,036,494,445,518,
062,726,747,452,228,061,673,957,759,512,897,776,776,753,140,418,598,104,444,
967,239,612,883,611,218,136,121,976,638,342,996,357,614,058,007,645,645,099,
192,695,697,707,182,310,080,542,181,872,878,834,109,288,147,499,377,029,129,
588,440,999,402,001,004,352,915,878,649,739,624,049,647,222,607,589,286,282,
161,265,476,413,400,375,469,577,069,799,296,477,533,573,909,585,754,873,809,
936,678,805,089,632,383,576,901,968,703,544,219,410,826,035,702,302,373,519,
425,008,645,351,544,514,714,034,778,569,061,860,713,237,042,381,833,212,617,
251,221,612,277,326,717,525,750,264,629,575,051,630,942,021,197,028,827,748,
644,422,327,312,862,582,123,854,893,657,443,021,088,638,606,660,420,737,006,
953,524,027,857,503,832,672,754,825,059,890,064,570,011,564,796,717,649,061,
865,218,474,330,988,497,917,455,813,921,714,110,023,028,991,668,885,964,008,
584,960,600,284,079,832,933,980,983,618,999,292,880,744,545,421,363,070,694,
241,491,336,594,637,613,639,489,648,642,857,584,655,660,266,203,557,129,861,
296,899,555,042,751,702,139,748,179,033,231,182,075,998,222,973,504,722,331,
439,266,039,082,449,711,975,703,820,561,107,412,381,359,344,497,082,230,378,
855,355,622,401,565,573,792,353,779,150,613,717,682,848,390,465,442,920,614,
006,344,985,267,649,648,953,868,388,038,535,988,770,600,060,282,246,311,172,
126,954,804,860,405,434,338,231,898,972,990,582,877,620,109,197,571,929,716,
308,658,386,524,243,580,427,099,153,454,308,356,432,465,258,577,237,687,283,
124,920,170,813,184,094,095,646,366,363,609,761,481,200,140,201,368,775,045,
853,995,531,008,854,820,651,745,170,551,318,063,786,214,332,787,214,893,549,
221,695,638,239,853,010,000,929,493,448,459,181,458,562,972,743,550,541,297,
881,332,307,720,006,583,089,196,636,181,178,775,512,948,234,681,094,731,825,
717,876,361,493,167,123,090,711,511,032,770,667,095,276,435,606,884,713,565,
513,083,089,606,176,900,488,956,336,571,296,327,821,765,969,401,343,308,480,
178,034,485,894,185,863,880,609,074,071,389,107,187,581,988,076,049,100,212,
137,961,061,892,472,022,586,216,850,505,696,425,613,285,860,935,689,776,522,
360,736,754,962,998,660,444,497,641,370,545,199,960,482,879,750,837,307,258,
616,814,320,157,583,571,969,784,527,484,171,793,394,115,437,460,357,118,565,
708,194,739,616,861,307,479,508,615,108,382,484,104,068,621,568,933,877,268,
778,210,273,926,013,648,806,659,384,247,144,459,602,747,835,821,493,553,389,
056,189,577,806,913,804,277,118,728,830,930,079,555,375,674,057,046,970,623,
998,326,006,882,518,285,739,927,770,709,064,161,443,282,242,094,877,600,847,
974,945,905,765,794,992,663,617,293,686,011,792,083,657,690,811,295,585,721,
430,585,306,686,816,890,196,097,271,249,192,146,695,635,970,892,162,032,421,
812,703,466,986,466,915,357,488,775,071,745,913,909,273,823,211,183,953,656,
043,968,173,281,061,767,302,217,102,118,467,247,307,576,184,809,463,440,180,
303,088,597,437,849,444,577,355,518,162,578,024,419,375,203,691,995,176,824,
193,938,638,501,464,969,853,860,777,499,841,402,443,030,920,811,295,234,885,
323,758,632,077,150,276,164,478,589,169,607,696,679,750,496,829,978,492,494,
362,289,387,267,640,299,104,834,560,109,897,053,497,239,147,122,967,817,395,
971,747,226,165,857,816,374,661,320,441,559,724,161,920,301,833,644,138,423,
320,814,160,340,363,114,926,233,691,612,251,918,949,454,735,412,714,254,197,
393,071,647,935,629,881,570,867,564,404,084,559,946,085,453,958,788,046,932,
732,435,040,864,494,237,441,200,290,850,667,107,081,364,966,215,515,113,481,
794,737,363,380,270,960,785,774,673,557,794,436,219,668,949,067,610,287,472,
129,419,962,855,058,747,876,920,877,584,884,743,988,692,916,650,581,336,401,
734,014,035,406,358,484,201,508,051,888,303,857,354,368,777,521,986,293,987,
111,616,393,978,120,674,870,757,001,390,602,243,917,188,256,833,478,511,550,
968,901,247,314,779,187,396,524,611,575,603,401,941,174,844,324,673,356,054,
879,766,796,431,922,876,442,162,887,437,630,732,494,001,412,107,285,811,418,
284,191,309,874,039,917,581,089,627,481,884,711,550,058,112,693,507,651,485,
999,854,147,618,836,065,884,729,845,329,871,412,382,549,163,486,444,736,127,
369,430,330,706,368,443,547,312,770,946,954,514,742,713,048,405,546,359,828,
794,371,808,638,568,112,291,158,154,479,066,877,494,649,904,452,804,676,052,
503,960,600,824,506,316,238,663,016,423,699,726,623,094,131,754,644,486,714,
538,145,381,309,517,997,334,424,068,712,160,360,794,342,408,924,587,802,553,
557,071,007,831,197,463,320,225,484,830,140,255,070,568,813,811,472,540,853,
962,157,253,313,072,129,469,993,764,522,157,936,951,476,667,151,174,486,063,
025,322,727,920,423,401,927,494,407,193,787,302,300,235,287,349,259,034,741,
422,330,445,804,455,831,177,156,618,461,751,946,115,042,072,575,787,375,966,
609,048,047,531,332,366,972,299,927,216,462,194,264,171,078,559,234,492,519,
717,133,425,020,791,915,935,966,045,752,141,894,768,944,935,549,603,526,405,
115,385,951,972,513,684,190,587,476,033,447,348,971,820,010,787,336,903,327,
126,109,818,790,141,480,610,426,177,737,472,141,078,670,157,306,305,848,953,
264,538,300,275,911,518,329,377,847,547,961,357,611,935,509,838,448,699,604,
810,763,325,408,254,044,099,301,948,756,181,422,271,081,073,105,497,357,437,
390,379,333,859,952,850,735,519,078,435,824,303,412,756,700,373,062,402,763,
327,072,156,835,684,542,285,395,012,335,526,178,912,811,108,888,080,944,466,
492,580,103,207,289,583,296,743,712,723,945,947,645,569,639,633,390,192,139,
753,349,967,376,962,272,875,443,675,104,576,788,547,049,809,940,447,865,576,
526,332,496,235,102,946,390,022,231,427,013,971,801,753,204,922,148,634,953,
325,093,707,042,461,627,899,094,341,631,016,233,329,775,875,503,719,673,694,
733,559,292,589,418,274,428,914,978,168,868,789,433,130,754,893,271,683,503,
391,019,506,641,242,747,774,709,630,179,717,820,851,323,148,221,032,330,735,
043,835,160,576,970,729,881,331,284,590,957,861,431,605,371,690,127,521,524,
959,058,302,336,298,448,389,202,437,780,712,083,497,537,467,952,678,817,944,
047,513,883,873,282,429,465,707,857,945,756,593,975,320,276,436,249,181,819,
559,353,936,126,709,910,484,370,961,865,796,454,202,191,702,575,455,797,156,
551,541,539,752,053,152,733,682,535,623,400,520,296,874,737,636,493,465,941,
224,852,139,677,981,622,472,769,294,540,795,069,808,267,664,836,973,068,446,
311,386,255,644,681,194,884,478,795,318,491,013,781,455,181,893,167,159,240,
317,138,850,343,779,007,104,722,764,911,486,627,130,896,833,882,089,954,595,
491,352,942,172,052,353,902,763,408,598,105,610,807,668,894,712,849,921,760,
822,959,908,887,010,980,991,909,361,828,313,944,136,263,198,601,397,280,804,
933,212,379,197,531,910,263,400,494,944,991,963,383,925,215,689,856,047,551,
025,290,482,319,414,927,432,731,676,713,748,851,142,742,889,846,905,021,184,
718,325,325,495,217,818,181,949,446,730,021,618,222,087,887,681,912,002,212,
392,482,244,135,402,265,812,632,558,229,871,047,693,025,753,015,856,985,585,
983,159,288,247,410,228,607,555,463,747,128,816,300,427,499,636,004,669,862,
765,452,599,861,415,607,801,159,936,934,806,289,179,724,322,903,125,207,117,
510,682,318,738,527,069,115,603,471,375,241,001,124,335,191,999,595,174,704,
293,936,782,817,771,399,670,786,253,424,100,874,286,545,625,778,147,408,591,
797,129,459,661,602,532,264,927,745,908,310,326,218,050,170,097,000,476,070,
477,607,972,095,094,200,211,659,902,266,104,629,177,936,503,818,601,234,504,
499,037,144,266,815,317,960,656,382,243,193,223,019,903,417,030,658,138,174,
651,343,638,413,197,690,036,954,286,642,673,702,243,089,422,784,083,311,960,
105,353,678,666,900,490,915,080,883,083,618,386,514,288,638,466,198,219,619,
309,479,883,398,270,371,345,881,424,489,848,112,843,382,787,688,309,079,790,
439,661,263,288,680,226,756,866,024,878,924,759,894,167,993,705,798,239,779,
936,662,996,183,499,908,853,460,027,612,394,064,838,402,110,079,638,334,096,
588,691,767,861,540,997,699,838,736,168,979,328,783,918,951,816,517,428,153,
889,515,559,271,331,156,378,032,492,589,478,603,324,696,411,241,439,381,804,
676,467,329,831,938,122,546,357,852,482,858,445,140,821,689,245,685,838,888,
664,747,539,327,758,906,241,802,980,379,369,734,968,729,340,019,528,801,486,
430,147,761,866,743,979,548,128,870,678,424,430,880,770,656,393,587,160,709,
834,448,893,798,205,613,620,492,625,027,863,181,975,628,920,033,740,174,556,
777,241,961,510,662,122,058,058,921,119,328,536,377,736,286,185,096,774,524,
829,872,939,654,280,509,548,765,927,351,639,351,543,817,927,045,698,236,247,
390,194,903,047,927,491,228,314,061,612,268,498,924,103,557,060,257,803,425,
742,354,103,362,765,859,032,055,693,919,915,809,562,927,892,443,281,823,400,
361,173,612,883,856,429,470,277,977,966,842,696,352,109,995,500,596,783,648,
949,103,287,773,968,332,284,870,927,697,905,514,918,412,537,696,581,797,983,
096,243,387,744,220,167,327,779,774,797,502,178,729,887,133,945,086,107,747,
448,995,187,685,245,373,228,769,262,080,056,809,954,233,938,522,961,786,964,
646,679,125,403,656,642,686,970,861,535,788,622,268,597,410,269,501,596,176,
460,745,671,483,991,347,847,521,744,810,873,138,302,378,668,596,913,407,772,
979,902,782,746,845,705,208,814,386,472,588,506,346,158,007,701,878,573,844,
866,031,204,108,215,219,519,065,102,359,528,436,798,342,435,533,305,284,968,
720,089,306,008,226,886,965,969,290,462,489,348,861,946,318,977,572,393,476,
003,755,785,517,808,139,258,338,326,543,402,291,888,739,788,282,904,846,630,
474,898,915,085,593,454,202,082,085,717,478,751,636,339,431,654,518,135,779,
343,462,925,737,799,323,072,571,342,559,027,616,220,363,296,256,632,850,085,
497,112,613,120,777,876,950,481,025,532,420,122,280,153,150,368,045,177,617,
613,637,590,948,322,640,490,238,138,201,036,598,486,088,434,741,211,686,901,
023,461,703,792,556,086,180,092,239,647,712,495,823,604,285,212,184,082,311,
395,200,904,142,657,179,293,301,580,951,158,680,389,088,679,583,327,744,845,
823,315,922,929,543,532,803,351,135,476,974,202,666,876,656,719,141,511,309,
471,214,691,750,812,438,582,846,893,677,743,963,267,294,663,792,715,185,615,
955,799,066,967,627,905,554,529,534,166,516,601,738,602,698,404,283,944,524,
880,298,519,188,244,289,119,012,232,644,257,975,597,094,868,627,152,925,634,
199,596,280,690,677,995,161,873,384,240,699,578,593,350,677,470,836,107,923,
922,853,031,637,698,833,782,366,819,804,429,698,603,608,943,244,268,651,580,
822,651,122,130,704,840,401,258,805,956,315,391,462,699,262,084,292,505,979,
451,830,747,451,466,735,362,593,794,192,899,674,745,731,512,992,175,194,903,
625,925,751,426,291,234,168,370,272,687,948,737,122,912,058,218,372,393,166,
131,557,437,115,109,367,432,592,197,014,000,303,439,677,713,371,745,718,274,
791,257,698,007,714,059,613,611,473,476,543,442,147,962,639,176,247,097,155,
296,613,070,308,911,169,457,580,486,406,369,714,871,494,991,657,854,585,384,
963,471,253,080,331,389,173,322,387,309,626,551,949,933,620,366,360,263,370,
384,746,343,733,201,394,761,225,126,836,140,762,287,162,600,558,963,214,231,
904,976,220,309,622,435,091,860,712,558,605,622,471,791,120,909,735,341,934,
427,200,131,843,249,595,903,504,797,973,865,963,644,995,513,334,420,540,490,
762,120,408,438,099,359,954,205,836,084,319,464,081,335,653,577,849,198,094,
416,010,209,195,205,925,812,674,624,925,293,680,311,396,019,453,421,950,884,
625,640,975,880,360,634,589,450,025,339,576,085,450,003,159,489,516,956,952,
446,157,735,608,365,275,504,783,251,149,296,956,316,815,722,420,040,787,255,
955,698,673,222,473,242,865,110,207,940,001,700,200,785,012,605,713,758,182,
301,191,025,570,138,961,650,130,673,284,581,305,975,368,661,259,548,396,364,
126,430,495,526,692,735,592,249,230,231,276,042,710,130,948,601,103,599,510,
638,558,961,792,035,815,296,315,206,796,033,503,363,848,179,877,880,381,043,
718,018,668,810,832,448,531,980,203,399,044,118,946,144,174,384,993,429,654,
632,375,963,829,010,569,223,300,098,202,336,997,283,748,461,106,062,682,143,
353,763,409,997,384,765,591,235,047,607,267,278,549,977,389,077,263,436,636,
588,343,263,806,809,248,667,192,207,865,925,739,440,307,972,440,759,662,195,
378,889,352,789,752,375,052,425,981,354,398,154,169,217,787,973,733,913,450,
076,420,251,965,708,007,807,178,882,675,436,790,690,232,381,594,380,459,456,
706,527,536,624,080,478,058,917,361,621,625,048,625,015,829,881,434,745,537,
225,290,831,345,820,494,171,414,985,679,772,011,884,949,853,637,323,377,067,
774,821,604,064,902,186,976,264,675,407,902,352,729,986,338,746,915,105,806,
318,163,475,409,454,498,327,034,526,369,718,561,314,505,723,207,830,340,685,
181,063,312,991,022,767,366,925,370,136,834,289,553,555,177,232,079,813,697,
251,081,711,302,852,163,796,327,404,721,485,472,077,784,030,923,010,608,922,
653,005,725,345,000,504,214,418,313,291,252,361,509,398,404,375,617,689,926,
959,128,653,934,497,926,548,054,037,076,319,918,249,981,910,038,309,415,559,
987,810,236,506,222,400,757,655,643,078,414,357,437,140,167,795,825,233,737,
668,072,957,820,347,038,849,988,436,304,431,441,204,264,497,649,754,344,902,
714,256,173,921,874,544,982,599,114,710,112,292,837,127,994,800,511,788,591,
354,606,569,146,159,329,429,353,568,741,652,224,812,366,717,406,134,266,990,
313,294,010,057,349,271,149,295,866,328,650,121,940,451,653,622,047,856,559,
775,342,272,782,441,922,389,042,620,274,142,400,275,623,480,429,395,945,394,
867,523,655,983,547,740,099,270,559,680,721,169,694,913,387,556,960,594,337,
175,372,245,156,501,871,671,022,795,004,204,018,792,977,900,219,687,956,494,
338,442,392,944,703,733,853,261,096,735,178,287,471,229,671,435,046,991,288,
885,317,366,574,812,737,146,380,669,508,443,562,697,533,615,894,857,074,875,
040,489,907,658,002,398,547,431,233,130,893,800,977,134,904,667,135,744,334,
576,392,187,342,905,427,526,742,300,783,950,087,011,150,438,685,301,126,115,
128,219,871,419,308,816,476,470,603,000,919,747,364,620,446,579,365,373,321,
082,857,083,107,238,987,469,664,153,053,718,359,683,551,922,377,082,547,863,
930,554,344,573,908,566,904,305,672,250,861,399,056,949,478,127,443,458,208,
582,287,867,018,602,224,788,727,455,379,692,873,970,867,123,107,482,550,565,
500,449,745,385,085,025,594,352,856,711,422,616,628,143,143,051,808,911,991,
334,084,932,313,655,846,657,246,433,151,020,172,479,717,788,983,944,595,999,
204,048,830,906,982,386,629,895,165,608,910,354,677,115,394,227,510,408,166,
400,232,722,274,650,057,080,288,591,669,885,395,311,323,893,175,045,076,569,
282,187,174,444,486,163,617,214,830,326,451,923,948,791,734,245,552,727,928,
359,924,908,227,170,352,708,496,734,848,046,494,115,787,355,600,729,035,123,
820,922,671,586,184,346,308,113,904,832,129,689,105,122,404,581,559,599,341,
452,344,618,991,659,053,623,170,928,628,929,192,817,622,101,025,057,956,857,
789,516,500,666,990,571,777,051,513,477,918,952,009,325,246,249,124,743,690,
267,232,974,022,518,953,669,778,841,023,836,646,470,465,014,087,597,795,096,
293,237,215,338,088,910,945,964,359,498,761,670,818,803,335,860,006,239,628,
321,488,636,146,697,104,476,298,626,868,454,018,312,070,672,304,306,979,202,
016,070,741,223,215,354,597,044,772,117,214,648,729,613,555,734,872,892,572,
361,330,814,619,074,443,378,564,687,620,510,481,860,520,703,703,120,443,806,
160,981,522,649,017,735,981,456,935,168,119,618,325,391,519,938,561,834,539,
747,074,512,893,540,174,556,227,924,339,228,748,752,755,331,730,585,102,934,
998,895,483,395,852,647,792,934,104,613,705,453,794,767,810,346,808,591,551,
921,216,937,917,960,598,514,860,902,382,526,663,415,524,443,356,295,114,800,
465,411,676,269,431,930,473,625,630,503,850,729,200,310,154,803,983,570,752,
130,481,903,964,744,102,083,890,361,783,253,768,666,187,361,514,524,766,880,
874,203,425,010,524,327,787,735,073,578,358,627,989,541,095,918,132,990,814,
571,248,599,828,858,458,226,658,274,723,813,121,528,240,741,603,679,672,400,
160,791,844,236,191,834,862,643,645,402,879,129,691,249,318,729,416,501,582,
010,948,241,657,538,242,488,317,703,332,241,572,033,540,840,237,663,778,516,
720,454,123,642,260,345,631,966,162,203,949,202,935,980,060,630,583,693,601,
686,061,131,323,803,509,095,790,756,669,801,830,512,038,992,998,246,960,445,
896,897,719,103,879,252,314,143,306,113,159,269,411,611,049,923,689,858,065,
074,573,004,025,242,425,095,826,445,468,057,282,433,601,291,004,913,291,853,
990,615,733,588,792,940,531,819,308,380,931,633,821,517,796,292,735,874,809,
843,173,272,858,283,908,863,829,715,637,335,715,889,801,437,653,524,559,533,
420,751,451,058,560,344,142,167,438,914,065,727,951,711,753,887,631,700,432,
646,035,976,859,846,720,668,104,845,475,012,723,919,253,128,537,959,087,672,
129,161,214,366,580,926,001,671,216,753,739,108,043,427,011,356,713,627,740,
443,845,468,361,243,335,149,237,136,517,038,518,549,108,395,621,552,734,513,
701,017,074,940,347,030,597,295,695,649,158,556,411,692,870,137,665,239,820,
950,135,648,187,403,169,633,288,783,542,422,585,885,243,240,442,491,735,340,
569,119,691,188,933,067,403,152,240,093,070,018,983,663,010,138,788,564,657,
378,554,974,786,959,217,539,823,004,241,602,579,390,889,284,337,043,983,026,
663,528,564,983,640,659,635,390,857,599,344,819,016,528,285,727,812,465,692,
523,762,092,855,269,726,251,506,499,500,121,775,934,468,844,772,291,995,767,
810,042,103,736,936,029,770,497,742,777,587,824,537,646,279,454,078,551,386,
264,961,344,728,699,017,268,657,577,029,634,636,445,166,641,193,016,010,188,
337,070,634,317,837,219,346,180,774,889,365,813,077,206,910,030,014,083,013,
725,527,325,316,067,711,968,544,738,248,784,765,782,045,514,428,320,749,206,
163,356,974,676,509,238,878,465,215,157,868,542,451,044,946,639,360,777,172,
073,075,129,517,717,779,983,155,522,672,352,606,572,587,315,289,764,501,927,
310,678,534,894,989,592,600,504,789,595,666,817,008,846,796,935,964,661,803,
347,452,022,904,822,693,920,895,277,484,024,087,687,280,959,252,543,573,124,
925,506,299,630,275,691,654,306,005,736,057,698,375,739,442,469,558,103,568,
802,951,791,270,060,963,186,317,540,596,292,530,181,566,130,517,593,934,014,
400,093,134,167,342,147,698,858,130,628,776,651,354,526,375,689,302,955,808,
616,900,153,316,526,632,713,291,340,594,368,171,294,280,427,161,148,515,538,
958,063,191,242,769,180,534,111,247,346,990,085,443,391,713,459,206,371,826,
608,954,103,286,275,691,790,200,518,575,562,668,059,589,031,810,910,798,827,
306,464,265,961,935,653,521,149,176,505,296,481,733,126,375,601,711,153,028,
629,024,822,874,662,436,992,359,272,605,903,614,687,556,937,337,839,439,119,
066,991,450,510,678,131,974,797,654,838,952,818,549,468,376,005,843,222,856,
936,117,144,316,693,678,661,262,264,802,790,134,095,737,972,151,591,061,214,
092,283,437,678,967,790,339,193,067,079,936,140,232,049,848,617,901,235,174,
477,101,811,104,619,688,570,692,487,550,893,062,471,185,137,501,740,518,365,
515,378,296,678,926,794,402,475,573,250,117,490,884,064,042,402,455,417,184,
654,692,974,003,852,102,423,206,528,290,512,103,295,584,057,838,763,681,429,
433,521,915,328,220,381,826,456,431,782,733,775,536,667,657,588,036,578,729,
367,930,129,264,181,279,644,860,472,013,078,605,278,011,540,346,317,457,718,
726,370,228,829,873,843,774,954,535,035,552,184,328,041,821,497,825,196,166,
139,823,204,384,261,634,986,576,136,600,892,642,585,211,463,129,668,834,191,
380,694,726,850,692,420,372,270,921,055,509,068,965,462,571,784,103,916,081,
973,934,579,211,209,317,174,258,539,977,221,971,189,179,962,685,038,995,683,
267,051,760,831,219,731,062,962,653,922,891,174,185,160,128,457,157,046,072,
474,891,516,437,187,597,796,237,470,710,928,780,075,897,918,683,045,114,971,
369,849,603,044,212,331,376,969,943,578,729,942,699,061,775,868,260,526,143,
665,473,444,634,931,533,636,290,771,787,771,819,032,627,720,104,607,440,191,
701,879,014,524,043,906,432,938,348,316,177,634,737,720,353,216,064,494,079,
702,280,023,439,717,875,931,194,130,883,106,272,026,374,083,691,822,578,959,
231,630,169,923,653,591,348,063,051,819,489,927,609,209,033,582,365,557,564,
680,750,366,036,477,237,271,092,911,749,593,811,437,047,985,950,518,952,045,
435,567,319,078,333,796,275,581,793,879,735,631,295,978,537,998,684,294,602,
548,712,233,347,482,358,656,655,881,388,474,874,986,306,410,616,268,195,614,
734,562,985,466,151,960,907,805,901,816,058,124,850,979,390,418,960,021,109,
205,829,008,439,232,201,675,753,474,780,647,341,577,225,537,145,751,354,329,
011,490,699,161,479,824,307,284,972,258,579,138,713,204,319,489,481,802,102,
676,813,210,924,380,391,680,686,108,991,520,932,044,038,734,696,841,847,546,
841,499,212,836,470,899,703,887,086,609,730,844,645,104,935,449,479,438,773,
033,067,417,459,791,886,743,295,486,522,922,593,494,510,034,109,535,866,236,
518,810,486,829,904,406,153,426,107,609,162,679,203,777,269,959,444,590,663,
571,666,377,656,422,580,019,126,943,665,153,765,049,601,442,880,082,702,199,
180,240,900,690,222,218,662,105,473,401,770,562,569,186,424,860,808,196,508,
799,317,188,091,063,083,046,152,801,495,697,630,493,305,849,044,920,411,058,
809,944,510,508,052,132,731,736,022,513,038,608,446,834,232,995,000,414,616,
917,262,937,749,972,265,473,445,540,116,598,388,312,081,821,293,875,057,722,
967,127,713,372,591,741,898,446,971,451,209,315,324,095,593,709,298,162,684,
386,798,325,747,885,366,766,308,158,698,454,181,301,346,050,463,246,808,241,
747,510,374,907,553,884,720,353,863,930,085,615,754,726,161,094,891,780,217,
025,929,046,847,399,142,061,375,289,957,326,276,177,699,620,299,677,848,238,
186,430,540,188,244,235,681,184,800,501,656,116,710,644,985,340,563,694,896,
294,813,446,039,899,021,449,422,661,938,049,491,144,195,234,416,430,025,194,
364,657,858,351,210,494,855,058,912,749,166,497,220,728,102,248,980,779,491,
061,038,698,825,278,867,475,634,644,483,709,442,295,261,896,114,531,477,997,
112,763,534,055,676,454,302,274,113,791,530,396,068,047,229,677,975,657,041,
824,184,634,978,011,114,837,698,610,291,787,347,987,276,004,692,854,771,687,
609,423,900,436,955,318,040,046,070,727,313,427,783,510,209,823,289,909,059,
964,410,712,869,591,872,499,879,363,948,280,721,536,121,730,248,222,930,271,
523,178,499,472,756,231,671,073,634,088,265,920,503,806,046,871,870,054,330,
063,760,575,905,244,034,122,941,272,973,746,654,862,119,470,587,071,076,771,
628,930,766,485,345,158,413,070,571,002,929,284,239,132,229,506,408,801,519,
273,680,179,569,239,538,822,186,817,759,963,604,112,749,948,274,388,810,991,
186,816,043,437,277,992,864,100,664,156,091,313,337,317,718,366,344,080,494,
759,644,715,429,741,579,458,263,530,049,257,791,923,420,310,705,935,424,180,
613,740,118,705,936,392,392,544,168,499,797,637,781,912,437,303,176,435,245,
603,034,227,226,086,967,476,548,391,910,501,728,085,532,694,574,335,063,689,
824,178,475,910,664,926,614,192,703,195,630,291,137,752,871,133,071,276,553,
214,902,684,626,377,340,123,896,164,144,712,202,852,628,412,068,812,044,691,
331,434,162,318,476,213,673,952,064,533,097,922,553,739,228,031,267,719,185,
268,301,698,006,920,013,317,205,194,275,435,284,325,620,634,901,665,710,453,
611,798,743,172,040,230,924,026,009,279,842,897,983,350,907,036,821,511,087,
500,939,758,530,092,217,541,781,659,429,643,491,031,438,233,712,292,312,157,
107,445,830,086,052,346,816,705,089,129,317,486,023,115,918,399,026,278,760,
847,162,573,617,176,518,999,278,362,924,791,596,809,487,076,789,632,821,205,
192,573,959,106,979,306,917,458,818,283,486,613,680,917,591,262,906,788,418,
684,535,129,010,696,628,388,871,196,967,391,753,866,232,340,716,482,131,996,
512,335,061,992,511,086,177,267,824,241,267,431,784,578,205,176,744,975,126,
914,875,008,783,422,576,220,753,958,131,620,258,381,816,288,804,588,645,035,
567,796,835,118,380,681,102,102,066,436,618,008,696,609,821,619,785,331,066,
421,598,982,211,037,494,875,733,415,934,993,500,159,793,388,931,502,442,887,
317,432,195,051,321,596,434,189,924,682,817,608,844,905,555,924,138,105,930,
489,256,788,091,626,181,904,109,864,642,011,964,531,104,812,548,770,861,675,
282,462,909,039,269,730,369,995,159,506,932,837,117,464,366,544,675,196,345,
079,471,140,536,579,501,429,340,457,166,623,355,586,104,313,792,471,229,442,
782,502,928,738,693,187,439,362,223,014,117,169,968,724,840,195,441,184,144,
746,145,344,172,658,153,295,167,781,708,585,590,093,095,396,861,181,351,814,
358,527,012,514,805,218,266,053,781,218,435,108,754,946,176,055,854,651,800,
276,301,396,761,605,174,329,957,199,405,455,542,461,641,917,242,068,863,842,
203,052,706,736,334,331,664,792,419,926,197,034,545,021,846,827,510,892,271,
652,970,356,170,241,739,769,667,155,000,460,644,895,918,635,283,539,665,083,
142,336,511,608,190,985,541,912,320,653,952,951,192,013,322,524,557,212,135,
875,451,002,456,765,790,197,408,712,220,980,760,597,490,517,227,380,270,871,
395,603,232,958,112,432,028,842,478,964,766,345,205,374,583,389,101,860,444,
431,216,693,859,012,959,299,732,650,910,251,620,693,013,330,021,405,934,859,
263,257,228,219,481,039,178,099,488,339,773,199,715,058,335,424,415,278,013,
550,239,089,308,689,546,927,461,413,882,253,693,394,129,595,404,800,889,885,
468,052,251,507,312,855,919,358,517,907,096,165,931,252,008,303,136,934,899,
527,586,789,243,131,508,469,916,586,925,485,862,762,092,584,131,664,099,798,
576,519,134,090,723,524,530,260,929,125,222,126,580,558,105,438,353,670,182,
027,256,996,568,422,228,586,687,385,491,732,723,571,497,212,036,638,406,137,
866,661,215,118,989,668,566,258,447,904,698,680,360,481,351,649,804,483,281,
818,786,630,227,024,925,467,106,206,983,695,352,498,909,666,851,875,856,679,
391,063,900,905,783,887,195,152,470,662,835,437,966,619,726,732,969,339,378,
102,272,896,142,057,487,701,663,927,443,496,700,623,762,646,128,658,266,822,
040,107,750,854,283,942,069,878,921,329,220,419,466,899,297,528,440,779,673,
390,677,131,234,747,073,516,089,844,139,744,681,667,021,790,378,993,021,827,
012,652,826,219,779,005,764,698,515,361,231,157,763,385,424,833,357,988,247,
055,869,373,800,200,708,519,175,985,584,258,033,007,272,773,827,827,282,943,
019,895,586,148,367,758,736,510,585,570,343,785,974,394,482,704,808,414,080,
325,795,980,056,833,851,124,208,953,493,909,427,904,095,557,044,902,149,371,
527,789,880,912,950,390,027,525,958,544,197,260,585,340,776,556,102,356,291,
275,575,750,863,196,761,453,649,643,110,479,213,602,806,735,678,811,860,910,
435,837,538,708,287,968,438,085,219,064,584,634,356,663,227,638,854,646,539,
787,561,100,037,265,977,704,588,390,244,385,468,159,141,931,720,892,434,931,
038,411,625,987,259,113,210,844,227,085,835,286,403,278,379,024,706,715,969,
323,579,495,725,288,674,253,366,846,673,313,444,774,409,424,873,473,833,482,
918,689,148,727,588,004,389,698,290,499,459,645,907,873,544,883,179,532,156,
650,936,075,388,317,754,876,708,493,043,596,228,759,416,274,071,045,478,298,
226,558,552,303,009,212,830,982,994,724,462,056,701,207,359,560,241,904,775,
280,274,251,914,660,829,075,475,617,462,996,838,743,544,399,166,952,683,310,
708,814,689,272,342,371,976,013,445,544,360,595,562,744,076,144,428,241,369,
125,436,870,173,378,915,276,671,826,688,336,901,804,966,245,705,536,519,878,
978,231,857,738,311,421,934,955,642,594,598,737,113,066,582,451,593,314,535,
679,956,914,430,760,138,502,128,372,880,500,850,571,534,330,592,202,295,600,
300,927,874,788,016,861,195,953,764,695,901,096,904,057,685,481,914,086,076,
646,144,477,898,647,667,518,904,038,879,520,833,948,726,779,162,562,993,059,
731,481,354,363,115,078,384,140,378,333,911,853,259,513,548,927,489,650,810,
168,455,713,276,085,348,898,491,449,781,485,742,675,756,224,864,887,950,671,
360,406,460,855,804,750,012,646,145,650,782,410,482,293,725,025,051,205,608,
526,877,396,578,540,545,194,085,547,895,397,120,076,917,241,467,098,507,498,
085,946,127,569,468,781,364,492,671,868,284,902,790,636,841,688,613,412,746,
402,190,931,741,335,813,823,899,360,722,471,990,291,047,394,317,612,042,306,
544,631,722,058,984,228,070,005,910,517,427,368,509,836,188,257,136,894,335,
096,244,565,705,862,204,763,830,200,189,733,197,977,660,056,957,633,624,838,
712,841,137,514,754,864,848,042,359,481,068,216,379,920,801,105,368,952,164,
427,852,139,492,754,044,865,020,751,825,129,921,856,119,034,463,066,323,092,
182,097,080,731,398,009,141,448,700,422,558,023,385,076,620,076,980,260,631,
877,181,987,690,069,224,644,810,801,038,574,434,470,809,680,613,185,488,747,
593,205,872,649,055,257,407,179,907,643,528,692,179,338,348,086,740,851,941,
351,170,119,758,518,870,371,688,516,628,011,019,372,283,646,578,040,320,672,
379,282,773,084,922,711,910,685,069,006,319,825,361,059,390,670,267,937,721,
848,382,974,308,157,365,187,941,493,999,471,784,078,335,456,115,184,680,088,
035,521,220,565,275,068,428,078,218,130,263,637,815,030,592,125,629,795,842,
567,941,365,235,878,680,123,232,844,448,583,748,956,455,976,592,673,566,714,
562,573,352,068,399,264,821,673,654,213,426,366,485,521,245,874,316,189,345,
380,841,138,805,267,518,787,835,123,180,593,476,069,164,697,167,928,964,757,
310,356,668,362,465,998,755,417,083,690,015,367,998,082,846,416,002,081,003,
772,339,496,951,323,292,728,420,859,625,378,621,670,856,643,044,560,644,051,
538,192,381,191,129,812,039,867,941,273,488,980,090,985,243,688,565,139,381,
614,635,058,876,227,555,116,157,220,776,576,564,609,325,876,685,521,043,763,
828,084,602,956,984,188,691,911,752,356,553,024,649,729,863,059,345,443,463,
099,998,203,216,291,395,243,923,890,565,231,445,941,530,784,871,969,911,070,
119,606,268,940,697,046,179,948,743,010,319,725,756,878,701,759,029,101,400,
979,602,153,797,350,119,683,490,080,648,617,394,830,926,733,185,581,942,819,
689,051,745,938,331,496,599,217,219,629,633,783,125,342,035,912,142,381,850,
347,847,399,134,213,411,451,237,367,315,343,258,057,453,348,831,087,819,961,
412,271,665,511,122,410,369,824,599,828,561,065,381,229,550,508,974,250,173,
649,636,333,566,822,794,137,265,859,395,165,829,384,004,651,012,544,441,800,
939,266,938,405,530,129,964,483,938,386,408,131,148,453,476,829,637,951,959,
369,252,942,983,197,120,763,993,874,340,391,479,045,027,029,896,837,395,295,
987,735,352,817,031,979,424,488,391,124,896,145,193,519,710,779,865,067,655,
329,345,534,537,699,030,765,086,929,006,506,966,543,695,218,955,986,605,211,
213,695,046,659,944,600,046,365,849,061,618,909,482,923,843,374,998,654,549,
146,409,378,206,756,737,810,118,177,577,185,464,764,126,932,216,746,421,585,
098,483,621,156,110,614,892,239,927,464,522,109,791,128,879,046,893,705,797,
426,966,736,441,658,453,325,577,722,612,206,880,168,188,513,469,244,602,823,
880,036,514,942,219,469,022,366,316,943,454,859,715,618,914,199,303,799,206,
452,215,158,535,987,448,610,504,792,821,480,191,937,867,402,742,578,369,106,
104,603,231,600,726,976,745,377,006,634,276,837,814,359,602,341,558,331,483,
191,058,949,688,072,032,186,780,895,569,331,317,219,380,540,543,283,456,191,
053,587,433,555,125,615,154,584,435,763,506,413,569,411,951,112,204,825,500,
822,440,485,385,345,766,565,291,681,640,308,741,920,860,417,229,843,928,349,
522,285,077,765,772,204,063,511,798,909,643,978,126,339,426,836,246,192,868,
954,831,407,196,895,826,010,195,069,256,187,835,125,030,432,506,194,005,905,
808,378,288,030,299,354,255,173,986,482,849,110,973,470,178,116,070,465,529,
309,295,777,936,747,965,473,949,173,156,361,444,394,407,860,154,423,537,233,
378,356,450,534,896,038,918,094,671,418,824,466,373,142,048,770,458,600,594,
562,635,091,350,883,952,951,051,025,092,272,323,962,154,781,445,836,240,445,
560,144,714,335,973,755,742,435,025,602,642,176,695,481,542,035,537,896,727,
566,522,749,603,794,182,391,481,726,431,759,707,530,103,754,150,603,501,782,
803,839,593,996,721,498,744,680,157,875,934,732,226,801,494,773,087,263,389,
082,630,934,820,039,996,471,274,193,533,346,009,106,836,227,969,394,171,368,
284,631,654,231,589,493,541,328,279,234,976,038,187,235,863,310,069,772,586,
693,351,615,029,141,478,787,293,310,927,695,954,615,522,342,844,755,457,916,
814,879,931,171,181,905,892,531,098,477,845,596,746,936,857,296,966,263,155,
175,010,833,935,644,877,636,991,567,357,207,873,708,765,430,705,131,550,268,
506,014,253,604,894,767,791,334,704,052,312,129,434,117,875,674,119,907,247,
226,697,773,466,516,691,302,296,242,814,082,987,417,529,351,838,460,560,863,
652,990,104,373,458,893,957,154,452,384,189,416,272,039,802,456,195,390,270,
509,355,677,342,423,327,670,741,952,328,314,142,562,886,864,054,872,815,319,
339,010,188,033,957,846,400,267,517,147,764,950,414,214,451,845,664,468,130,
930,296,057,413,852,835,209,292,433,587,706,168,333,819,808,148,606,512,005,
228,885,054,026,800,802,837,843,913,467,157,921,974,273,962,411,641,430,872,
100,478,693,722,283,709,438,050,901,051,371,252,028,148,525,285,190,723,517,
625,880,315,607,445,548,267,144,679,503,709,475,800,963,932,089,019,575,578,
188,874,533,208,568,471,982,792,525,423,659,422,227,069,505,728,710,033,746,
726,113,581,343,120,303,796,547,117,253,066,803,400,414,423,420,431,796,642,
206,099,031,236,232,205,778,195,473,859,621,607,867,477,401,392,650,321,584,
886,369,631,535,590,411,218,850,064,467,855,070,126,210,245,818,020,601,236,
901,360,088,884,716,305,818,074,234,150,024,842,685,656,666,730,990,579,237,
087,797,815,666,358,602,309,877,742,992,040,041,271,585,714,316,554,077,968,
676,064,263,121,426,298,807,501,610,908,605,306,213,893,247,745,159,919,935,
097,468,552,993,139,299,921,674,751,171,837,453,523,389,466,188,148,003,159,
821,409,057,304,558,808,228,668,809,218,294,765,958,609,979,972,437,385,231,
171,052,398,145,907,193,449,871,757,337,794,114,332,648,018,035,873,337,973,
056,491,577,489,268,956,499,896,628,580,212,412,762,963,317,216,963,280,493,
019,555,279,906,325,891,335,727,413,280,931,659,445,126,844,262,413,605,396,
497,401,302,927,520,759,959,232,545,832,720,375,145,594,783,504,315,930,733,
738,606,482,317,835,361,518,047,845,763,101,393,576,205,573,879,752,828,264,
396,515,908,432,036,446,317,696,580,123,621,502,902,398,267,905,901,525,389,
525,173,667,435,538,509,403,717,750,143,789,569,756,196,091,747,925,761,158,
919,809,079,079,305,590,953,249,404,878,154,057,278,531,479,502,874,414,181,
893,434,054,458,301,304,505,928,556,332,419,998,648,707,220,621,105,254,271,
895,307,396,809,463,535,460,953,662,420,968,730,379,633,385,235,551,362,963,
583,452,582,858,637,532,287,833,822,366,299,733,826,076,180,518,600,677,178,
197,051,894,995,769,432,621,054,113,751,737,806,570,869,071,348,746,975,795,
664,666,907,252,657,312,563,752,103,645,202,350,085,260,928,829,427,367,687,
853,111,181,079,104,403,679,536,613,524,503,414,492,020,227,958,709,225,651,
061,370,989,298,005,603,345,220,533,211,735,186,319,817,436,779,081,218,898,
400,354,588,115,144,369,032,751,618,590,991,167,066,196,998,701,599,908,747,
080,540,058,541,043,062,630,642,672,104,943,137,503,907,792,106,243,327,131,
547,162,933,618,168,866,201,589,994,312,257,811,528,040,573,371,526,365,412,
010,858,452,311,278,180,036,025,214,484,150,492,030,604,604,451,265,970,906,
369,477,076,285,220,234,189,584,951,467,963,599,538,457,425,776,972,331,662,
048,093,496,714,319,459,451,807,418,499,805,137,173,106,807,280,137,427,985,
132,948,574,883,696,659,708,581,386,490,119,796,749,861,040,900,290,654,564,
993,602,117,069,487,472,270,421,005,078,416,846,125,196,209,238,169,121,627,
169,647,443,336,534,652,662,380,704,156,452,243,865,271,204,654,281,516,728,
980,409,875,229,790,771,637,607,198,445,016,735,824,162,272,381,755,214,647,
966,287,916,664,653,098,830,374,095,860,133,603,058,196,210,969,243,888,166,
729,789,609,574,592,343,834,717,079,402,612,402,246,037,184,636,990,777,806,
602,466,840,284,416,962,505,634,406,648,384,111,650,523,025,136,117,052,570,
760,311,935,611,085,806,536,688,384,936,178,415,166,760,101,743,841,297,200,
678,980,487,076,711,540,687,952,883,340,109,244,602,496,946,133,941,684,847,
989,273,334,081,255,743,769,353,520,641,894,604,064,362,635,539,239,973,587,
455,811,053,792,680,290,688,862,244,151,783,808,931,499,422,615,340,566,507,
505,137,463,724,223,128,588,802,869,835,385,549,511,186,272,732,286,587,205,
626,665,060,134,759,641,355,215,101,596,283,537,023,377,606,670,936,698,332,
473,221,654,933,874,686,094,972,994,240,709,293,087,981,149,196,556,225,898,
642,145,497,021,875,526,154,564,225,285,768,635,665,999,511,183,139,732,348,
195,171,099,923,470,125,656,221,066,229,601,024,275,809,564,286,110,576,478,
640,964,730,761,093,593,703,816,017,032,851,173,610,362,046,173,169,776,535,
208,240,454,718,079,622,238,450,588,691,229,531,010,779,795,933,687,466,651,
409,597,497,329,119,447,193,698,694,536,200,012,866,282,408,361,887,172,234,
442,931,280,383,670,235,083,086,073,510,063,080,001,839,307,645,575,292,419,
708,554,319,349,608,003,775,536,398,172,280,368,020,844,563,636,779,754,385,
604,798,803,314,618,712,397,864,520,423,515,043,855,572,494,248,122,916,713,
817,640,393,152,830,003,956,283,941,152,337,618,645,667,443,577,374,089,437,
245,486,152,156,108,176,601,452,548,760,845,819,054,577,795,150,497,034,060,
378,194,986,220,226,625,989,801,226,099,564,414,102,151,768,121,710,420,301,
492,622,447,808,950,343,861,374,688,667,385,861,746,444,458,892,625,989,764,
628,629,827,091,605,495,444,441,972,535,044,770,324,819,045,968,158,144,672,
077,972,386,807,605,076,837,887,725,372,728,339,723,442,538,747,802,908,385,
331,839,763,533,352,445,942,998,810,697,750,556,496,022,930,561,321,963,962,
083,706,489,483,710,225,713,018,826,014,018,878,789,577,888,511,030,945,975,
169,240,744,617,271,701,581,489,360,795,816,954,135,120,389,168,007,386,625,
753,140,203,794,519,852,601,111,234,900,358,139,112,166,806,513,860,058,145,
754,831,057,612,090,841,871,046,533,642,386,849,358,618,379,473,928,879,159,
587,413,558,810,214,677,397,649,930,131,925,925,012,307,362,369,837,920,952,
698,326,024,871,821,948,935,097,988,117,489,079,729,022,397,124,180,228,452,
366,769,349,959,879,812,445,389,830,963,850,681,882,973,896,166,726,118,218,
515,225,825,815,897,563,966,893,711,035,174,090,256,434,048,218,647,717,110,
836,648,303,591,622,681,329,414,868,262,899,424,202,561,654,672,929,497,662,
026,877,337,583,682,673,274,966,882,917,831,134,120,630,498,742,256,993,523,
192,731,779,778,556,625,244,932,598,300,298,932,377,315,129,523,623,332,885,
781,260,248,803,750,147,253,570,693,066,341,036,007,194,996,259,804,286,140,
370,785,671,261,643,953,246,859,919,315,534,874,757,830,719,917,743,510,300,
364,891,467,559,102,427,147,176,057,732,938,967,329,894,773,967,878,492,850,
468,039,766,231,760,672,359,852,221,839,540,537,805,557,385,163,706,611,766,
567,984,412,371,066,581,882,780,629,230,457,944,182,706,571,360,779,002,287,
835,585,433,140,448,500,262,090,389,841,965,621,711,362,632,191,568,180,735,
673,049,481,442,736,925,052,290,539,065,857,602,339,601,922,164,116,710,031,
574,123,960,250,586,203,053,555,327,693,005,136,946,784,204,445,657,437,054,
680,391,525,894,509,797,425,422,817,816,941,216,071,707,620,665,387,773,548,
524,538,261,813,062,990,593,115,575,093,998,899,746,869,034,569,704,742,742,
261,665,941,356,167,432,852,682,667,615,292,142,849,776,708,907,909,686,951,
713,270,050,229,339,733,557,250,863,188,280,840,362,822,207,620,183,935,915,
786,794,821,104,959,079,556,554,209,878,701,136,258,776,190,315,905,947,687,
342,961,413,122,462,855,024,151,519,307,905,765,295,348,660,732,865,140,782,
221,618,834,943,222,302,317,894,610,916,586,032,338,376,401,499,463,077,675,
498,642,857,851,343,778,547,508,538,974,064,526,046,663,920,484,673,004,137,
610,593,570,961,961,686,815,258,007,004,238,524,931,180,377,037,421,368,456,
746,542,729,260,173,098,676,240,086,192,407,537,626,603,996,602,328,849,635,
281,674,252,812,111,560,741,109,683,968,704,228,277,994,583,295,716,315,029,
257,370,287,565,523,709,239,677,362,745,371,438,342,258,369,736,896,948,257,
982,142,116,351,383,298,494,239,564,493,715,196,397,395,043,228,446,894,581,
787,180,237,668,151,783,855,665,895,605,937,275,666,317,067,437,680,096,041,
310,994,365,933,173,065,253,552,766,765,030,424,558,086,314,994,390,932,224,
840,812,708,086,289,848,634,408,797,524,337,036,239,050,225,829,141,548,991,
835,550,785,063,115,817,768,473,859,827,796,715,136,056,608,313,332,224,419,
118,745,564,707,749,400,082,555,458,013,392,490,925,239,020,761,849,650,918,
690,792,392,314,268,591,555,511,218,579,861,381,969,360,136,257,578,751,097,
651,035,560,441,888,659,454,319,188,568,857,756,410,040,929,610,409,132,267,
836,254,010,864,321,553,023,002,658,238,643,640,456,509,665,570,410,245,508,
987,492,814,081,013,878,284,682,687,612,665,353,151,877,983,830,575,503,042,
229,874,920,358,414,526,642,528,060,906,298,239,099,849,697,418,060,925,998,
407,459,035,919,544,533,818,444,455,480,924,339,073,456,636,422,711,163,257,
869,408,444,691,835,661,592,182,750,931,653,783,748,557,747,199,740,091,475,
139,766,235,082,665,805,167,462,258,004,085,499,545,109,538,205,391,247,981,
425,736,759,828,683,477,848,077,801,565,249,011,923,453,143,498,299,855,679,
007,175,356,774,739,727,180,234,033,829,197,669,213,863,281,764,317,963,658,
721,858,362,991,887,114,634,810,558,943,569,281,931,752,015,092,487,636,896,
200,768,457,318,490,623,164,791,694,166,325,216,205,666,041,059,039,574,394,
386,020,782,105,182,919,243,350,437,990,777,120,127,971,568,188,114,800,473,
050,651,285,443,420,284,779,071,745,866,367,217,035,985,286,243,674,601,992,
934,592,329,391,550,092,540,205,303,526,985,076,340,098,782,972,740,763,790,
899,750,786,276,001,284,614,039,782,174,237,571,466,567,778,421,892,542,760,
592,835,663,950,617,111,722,313,147,386,671,972,924,602,842,308,088,156,474,
099,961,802,419,908,756,418,529,988,922,195,513,581,679,030,916,649,294,212,
650,462,391,011,650,946,682,875,665,895,142,019,312,089,965,388,001,080,370,
285,354,200,989,083,809,455,432,186,423,672,867,546,368,611,769,420,761,805,
375,379,068,230,189,381,363,409,939,608,102,381,255,905,762,686,772,700,043,
001,236,806,304,840,600,319,624,108,689,977,757,561,391,494,019,909,045,504,
637,842,684,993,048,964,985,482,201,273,049,308,721,897,620,708,428,195,731,
793,847,421,775,636,247,144,467,367,029,438,141,732,628,205,865,772,750,010,
477,786,907,578,698,281,463,910,295,970,568,035,519,184,552,982,771,605,515,
351,014,045,207,637,981,069,914,697,267,261,275,246,274,746,282,642,787,697,
278,317,112,220,761,392,110,177,032,501,625,270,928,324,774,004,595,893,674,
444,252,984,209,376,168,344,491,389,138,814,686,867,225,612,527,215,381,186,
934,586,877,829,553,292,650,997,606,475,501,426,013,027,342,128,013,200,588,
403,870,650,906,057,591,341,076,062,985,188,714,983,554,027,396,272,037,091,
559,215,656,148,874,217,299,997,411,934,615,875,770,274,732,528,804,888,996,
125,151,706,460,941,515,485,919,242,516,280,899,134,928,522,309,567,255,497,
140,954,566,601,199,101,063,730,630,053,508,112,474,854,931,367,110,074,528,
253,744,398,374,860,622,296,871,874,326,695,632,706,323,906,623,780,901,592,
974,312,781,161,498,983,431,165,744,746,515,148,597,525,486,797,729,596,725,
063,759,218,381,644,918,311,877,342,492,694,654,353,701,866,273,428,960,992,
624,997,812,521,279,896,782,867,976,115,540,876,164,138,990,658,536,401,857,
335,692,717,414,888,451,876,705,567,478,407,873,942,522,706,317,478,106,521,
049,512,146,036,689,185,256,012,757,848,355,971,200,520,818,573,997,549,361,
406,407,785,961,589,303,535,864,604,179,428,374,784,476,337,378,363,166,681,
483,992,558,016,014,130,829,508,079,545,854,646,011,792,002,049,089,570,889,
318,384,317,702,772,537,813,678,235,712,123,240,074,411,530,872,122,550,299,
713,193,629,418,656,681,236,816,063,577,566,619,643,061,798,717,402,224,534,
207,468,107,938,835,989,248,884,781,249,919,274,405,648,736,147,924,981,473,
592,086,796,566,679,798,076,105,299,814,428,598,602,753,638,224,409,017,675,
297,735,473,843,889,753,777,603,254,292,980,208,700,757,532,430,589,270,598,
775,124,127,459,779,988,672,844,309,498,921,213,556,155,128,766,870,885,729,
560,782,639,149,322,513,519,047,795,584,768,402,217,494,572,576,430,474,716,
017,656,761,445,258,712,921,024,465,184,113,561,503,478,822,098,541,743,905,
147,469,971,174,062,542,020,517,716,787,023,000,465,194,308,806,487,981,344,
514,848,938,531,098,167,822,789,299,045,037,925,452,344,235,293,089,868,455,
083,009,829,650,013,671,688,546,580,911,076,970,000,669,718,116,095,040,046,
633,383,472,860,374,196,594,996,080,112,489,641,803,752,379,663,846,774,813,
880,523,280,644,549,136,791,035,702,410,827,293,646,350,137,617,669,680,165,
475,005,719,432,768,034,816,416,508,305,609,546,718,117,803,507,809,086,843,
884,497,492,963,770,706,898,341,375,641,079,873,583,113,449,098,741,470,280,
798,748,686,930,424,562,091,456,798,057,282,280,795,155,996,558,134,516,346,
091,660,976,656,638,819,590,871,311,184,736,682,939,009,142,040,359,549,051,
052,424,430,276,607,745,265,297,315,480,646,682,709,032,524,369,649,784,058,
021,185,983,646,062,919,576,882,929,477,984,300,741,720,956,025,960,461,933,
051,521,750,291,203,440,943,886,230,669,673,114,653,737,941,468,986,402,900,
442,475,075,065,142,087,410,259,414,382,222,370,351,712,584,581,163,964,996,
824,392,067,574,346,322,691,181,332,300,376,283,729,294,862,177,906,305,702,
322,305,751,902,555,529,035,519,155,964,075,443,402,692,028,878,928,477,679,
271,861,848,101,205,425,842,218,984,666,922,256,932,668,416,394,747,343,185,
188,282,326,159,059,597,106,513,242,831,516,815,198,599,427,996,425,827,616,
712,443,103,115,354,712,558,215,625,194,682,920,354,176,001,954,972,067,861,
111,739,004,042,145,134,589,296,002,925,690,312,140,402,878,866,503,524,595,
402,976,612,453,818,340,244,011,462,270,788,392,589,619,681,337,876,468,462,
515,166,413,178,200,299,470,434,206,161,330,615,634,613,252,099,113,987,283,
580,319,269,382,200,618,199,662,890,299,179,401,349,557,029,848,463,832,543,
388,994,552,971,075,936,059,259,648,279,633,629,753,334,090,964,712,589,014,
984,703,056,908,976,446,253,171,624,766,967,463,840,696,263,331,376,851,734,
792,712,039,571,275,287,069,534,674,538,080,787,648,700,987,006,126,802,282,
171,769,291,580,332,749,075,347,545,038,584,459,631,311,140,032,104,647,262,
904,416,200,864,982,738,089,237,655,853,509,369,895,744,656,383,587,338,214,
163,446,365,121,540,571,592,499,052,885,882,512,576,534,748,579,682,101,899,
304,983,520,955,511,085,320,090,979,390,317,863,690,654,019,757,272,370,547,
595,128,383,219,550,948,050,263,660,466,186,541,014,963,536,239,934,335,316,
221,808,514,048,982,589,984,103,251,589,381,954,517,046,535,903,303,874,211,
269,011,432,846,918,245,840,943,295,966,629,067,821,394,602,978,686,994,775,
095,272,665,922,145,475,841,273,734,908,461,674,863,950,107,899,288,267,706,
420,741,894,763,059,902,498,034,431,965,519,076,550,722,270,536,151,522,535,
939,222,630,956,797,654,295,619,518,565,319,168,388,413,769,248,853,194,563,
166,674,080,387,735,879,573,601,209,486,144,689,640,369,589,643,972,120,633,
940,282,333,186,652,069,303,279,536,895,411,215,664,251,620,647,799,474,068,
007,500,583,417,305,258,165,430,588,135,521,721,539,278,037,664,409,803,649,
369,632,986,997,721,691,673,068,079,825,162,837,516,824,489,262,837,084,103,
967,532,953,519,411,161,997,179,314,688,113,582,818,061,617,959,649,658,497,
398,401,587,072,183,666,487,364,964,353,703,963,733,691,704,283,810,568,270,
109,615,760,286,874,328,683,919,958,256,800,622,606,706,890,541,946,076,647,
874,774,627,337,886,306,789,262,336,498,335,812,555,508,230,668,204,175,454,
761,512,237,478,099,171,548,908,036,108,049,522,418,174,356,789,726,869,120,
481,473,270,093,371,443,013,866,340,858,025,617,910,616,215,048,066,260,259,
306,797,305,402,408,149,289,748,839,578,361,699,697,257,616,528,632,805,482,
560,730,361,799,183,223,197,195,941,640,332,686,471,122,322,824,107,495,058,
537,733,239,226,813,970,025,673,234,511,272,668,932,683,840,656,043,083,819,
374,720,388,465,112,461,986,581,302,127,514,182,942,191,041,718,575,508,301,
784,430,544,124,867,781,479,574,384,514,775,446,362,996,930,567,898,125,519,
385,889,489,678,798,023,154,015,242,121,374,159,812,927,428,271,605,506,259,
773,915,494,664,212,536,452,803,069,738,080,697,373,072,209,431,715,753,788,
985,894,896,017,698,164,222,757,234,906,631,069,032,914,021,415,714,422,502,
641,805,105,836,319,984,189,068,284,213,977,433,676,082,792,387,840,806,052,
707,557,730,780,871,698,713,703,021,540,314,734,428,325,888,576,790,733,498,
780,118,017,083,084,644,930,816,164,464,244,074,398,426,679,088,286,863,572,
397,163,363,777,655,155,655,129,896,189,322,983,607,298,223,392,394,006,991,
284,866,917,599,717,913,253,735,655,025,146,044,404,253,534,054,352,769,506,
414,559,764,748,505,517,918,892,406,349,261,631,440,559,497,762,889,129,464,
227,196,441,295,334,928,366,764,785,701,287,879,543,385,304,118,518,694,616,
156,766,341,490,525,786,140,978,555,087,630,594,855,566,739,095,587,126,439,
336,498,520,323,261,862,702,727,789,162,705,006,269,946,949,641,936,062,244,
078,650,384,490,509,589,968,432,410,901,342,307,907,160,828,840,435,008,237,
504,075,148,985,675,302,990,401,077,473,248,656,607,736,147,010,344,515,742,
416,248,263,327,406,351,509,179,215,713,449,683,070,947,709,929,480,715,355,
159,317,555,759,763,036,383,100,645,561,439,378,451,048,641,445,642,671,770,
405,291,460,781,938,644,400,115,525,506,811,554,506,188,526,840,309,654,123,
056,508,029,876,233,505,378,306,433,827,764,281,157,864,377,586,220,363,138,
233,981,398,092,335,783,609,621,379,817,431,453,504,636,368,267,276,644,065,
778,710,624,162,974,509,628,132,912,607,460,099,291,920,025,105,656,817,475,
847,059,130,491,027,949,858,422,297,680,949,360,644,904,521,416,758,041,772,
940,513,874,978,893,057,738,475,240,948,835,281,814,773,697,702,468,932,392,
075,592,552,651,967,911,536,297,265,246,013,592,860,874,395,154,619,855,206,
071,956,455,298,578,627,377,612,447,645,377,215,121,029,467,938,956,536,099,
022,392,080,947,625,682,397,525,246,753,495,536,851,854,355,339,096,172,959,
266,106,319,718,647,152,130,130,863,719,387,370,055,815,998,980,088,890,831,
675,673,601,505,085,364,656,751,502,777,846,982,531,439,501,131,799,732,631,
009,072,900,631,516,881,334,331,293,993,495,837,959,204,703,804,235,737,456,
935,416,740,426,532,119,854,185,842,836,786,709,510,694,636,437,217,393,648,
917,672,774,937,998,317,540,396,098,154,203,507,433,487,710,931,742,995,541,
686,976,478,096,374,198,043,897,539,468,443,799,254,638,028,455,941,762,894,
035,824,246,693,656,796,270,351,450,804,770,968,362,028,796,745,408,883,286,
634,206,917,037,466,267,839,333,516,022,971,890,719,498,081,438,375,706,698,
222,931,698,432,818,021,876,218,084,616,207,960,317,369,661,536,032,660,317,
160,048,819,876,251,824,101,678,524,390,687,408,875,442,303,004,529,488,825,
973,159,888,037,802,514,759,937,815,597,008,210,451,360,312,937,973,904,177,
414,199,332,010,052,864,529,736,351,022,658,315,333,611,994,087,655,122,234,
149,101,950,257,536,393,146,279,091,154,035,171,176,206,662,734,903,824,230,
207,501,071,091,807,647,917,291,611,722,971,915,494,294,689,636,169,085,182,
491,354,809,609,654,699,501,298,744,057,201,345,468,582,776,002,431,201,462,
197,009,233,031,201,766,894,803,217,081,843,624,456,778,512,434,632,899,061,
679,675,705,512,405,743,918,531,922,531,383,484,255,533,285,926,540,043,900,
344,813,361,343,607,005,576,670,817,706,505,142,921,620,915,097,650,443,460,
369,971,733,948,344,807,793,120,993,552,544,497,150,194,455,478,146,230,972,
432,043,616,094,480,861,206,422,220,275,500,923,409,007,962,258,681,727,074,
436,622,721,110,723,377,319,135,131,795,768,481,659,735,635,021,703,122,705,
965,629,777,028,006,573,319,807,006,965,643,165,220,113,334,277,805,766,658,
410,869,196,432,542,905,791,658,900,472,590,265,281,366,470,630,906,574,162,
613,970,399,478,312,692,992,367,297,017,696,834,462,451,120,593,921,493,540,
001,196,145,401,294,078,699,603,418,094,823,156,908,393,084,303,939,900,842,
265,702,101,524,523,039,085,828,962,273,029,270,347,762,945,613,540,908,412,
248,852,361,017,527,521,373,899,838,808,048,943,703,443,030,193,285,524,135,
338,992,088,358,932,644,696,598,749,116,755,538,444,831,047,891,190,820,411,
140,201,531,761,534,670,161,372,319,991,755,043,290,495,001,711,499,799,267,
655,835,859,941,518,495,181,726,666,625,456,001,563,454,195,728,991,186,683,
104,924,569,513,980,769,393,570,964,165,961,860,782,853,544,895,400,569,245,
742,504,598,890,546,556,212,986,662,771,865,477,662,035,829,006,938,058,737,
219,529,695,602,534,851,501,970,949,591,320,276,962,532,578,613,770,675,912,
254,204,421,582,967,777,553,111,805,788,722,288,687,941,616,463,095,524,544,
111,392,008,189,550,657,158,659,700,042,090,776,082,419,989,065,290,573,873,
299,612,316,483,151,725,952,693,521,151,436,127,538,377,244,540,639,267,365,
584,809,881,078,849,302,594,533,238,523,358,404,591,860,111,979,719,906,260,
231,674,268,467,523,297,483,982,339,402,900,161,219,201,983,723,649,854,924,
357,357,991,645,881,735,760,248,844,401,667,511,016,095,699,263,490,233,546,
850,781,976,150,278,043,420,177,365,319,573,258,329,541,080,743,644,732,083,
991,276,588,364,768,572,409,036,959,274,354,728,599,584,018,775,444,966,220,
470,447,087,729,802,173,598,096,776,168,607,988,244,267,463,585,844,858,474,
088,768,604,768,320,664,772,744,180,065,378,811,548,796,505,902,957,497,753,
454,197,025,546,718,245,569,892,635,577,511,638,908,152,785,120,168,854,178,
333,977,939,372,917,962,180,339,288,286,810,668,206,166,071,080,159,217,009,
099,473,140,021,267,388,301,453,967,746,693,699,910,072,100,452,027,798,917,
881,413,866,202,961,904,728,670,556,136,161,218,767,383,715,268,305,345,557,
913,689,499,850,589,954,916,704,164,093,876,390,534,981,541,131,375,013,122,
883,784,568,624,815,691,065,806,280,818,276,136,675,308,800,501,864,924,714,
095,959,448,312,862,340,992,422,574,339,447,470,503,557,384,842,354,090,881,
447,548,138,061,583,765,073,832,933,675,674,752,285,935,574,474,550,581,454,
639,399,143,560,558,633,303,487,392,542,661,559,216,623,465,577,663,403,090,
586,410,200,614,073,874,956,264,858,963,454,163,106,222,986,838,276,431,575,
898,302,103,412,040,371,888,207,234,493,012,966,718,793,662,784,181,832,271,
643,799,530,527,127,910,358,378,921,859,641,108,694,787,055,046,743,522,875,
557,925,274,367,517,717,608,049,350,743,755,874,362,902,967,118,934,812,987,
290,145,078,853,600,813,908,071,178,182,850,638,958,844,882,305,458,252,696,
837,770,416,647,899,733,041,906,709,405,202,196,052,613,234,242,030,316,268,
578,789,613,564,309,707,784,458,480,885,287,545,535,506,583,098,775,258,168,
280,146,871,306,727,796,828,679,054,891,112,091,474,723,626,736,245,903,167,
234,984,607,457,308,551,684,685,666,197,360,438,478,427,370,307,655,016,270,
269,230,747,433,545,244,134,903,497,283,559,801,873,090,058,792,495,621,674,
817,297,259,599,534,616,022,478,597,139,692,042,511,212,998,043,964,239,847,
869,880,172,557,965,730,475,040,651,633,756,987,960,496,055,948,848,811,794,
213,086,675,902,942,804,058,748,574,192,190,587,651,895,872,431,780,623,887,
134,354,759,962,987,577,713,339,163,762,009,186,231,190,658,336,657,683,997,
194,375,792,084,928,950,510,822,897,570,995,795,126,695,997,558,359,329,111,
563,164,309,086,141,935,868,317,733,905,367,593,496,747,149,050,906,479,379,
654,121,614,348,575,585,023,113,799,910,745,135,896,859,445,446,443,618,748,
391,747,107,264,035,783,848,887,650,023,605,979,014,474,451,678,677,567,180,
133,882,087,242,140,308,539,234,177,394,310,075,047,779,446,154,309,002,779,
773,872,093,528,336,606,825,994,813,536,506,728,973,741,181,217,719,848,394,
780,068,536,277,025,461,720,567,278,200,280,400,874,164,947,781,132,661,979,
867,316,023,800,956,513,706,974,634,502,548,717,326,707,726,418,860,363,670,
380,670,007,271,074,834,437,965,596,028,070,984,055,123,964,280,703,292,919,
729,678,060,392,192,977,454,694,933,282,050,539,030,895,809,625,664,455,121,
158,885,174,641,333,841,901,353,162,430,654,052,157,930,109,337,261,598,149,
822,875,086,222,921,788,139,872,548,959,594,204,151,562,814,013,048,377,654,
702,593,898,043,390,898,873,575,249,456,165,128,560,524,985,387,395,918,640,
636,876,771,694,909,422,063,155,840,249,073,440,709,970,873,848,964,019,448,
130,707,718,324,101,915,610,564,441,829,075,631,472,878,368,958,825,158,235,
733,281,432,709,502,045,736,877,884,258,500,007,409,727,361,196,749,991,476,
911,313,200,362,532,668,261,409,420,492,503,348,188,777,149,781,841,218,277,
784,973,989,682,506,409,786,984,834,223,827,759,239,198,747,420,391,313,695,
208,685,565,465,572,221,038,794,158,438,908,817,900,466,004,505,166,160,179,
978,080,112,618,327,281,379,385,954,065,792,954,053,517,804,062,929,175,594,
480,097,721,707,771,795,034,021,058,882,934,398,344,857,615,478,035,436,173,
152,504,244,390,430,960,771,143,568,410,369,442,770,576,038,594,039,296,345,
377,672,499,219,008,349,757,784,277,039,257,778,247,814,080,367,871,594,800,
765,680,957,849,651,922,044,699,406,924,375,287,988,360,356,345,191,643,963,
802,920,108,467,573,965,233,369,840,486,632,720,567,480,508,660,666,173,260,
003,831,644,715,273,423,480,042,175,390,565,149,882,914,291,794,223,459,989,
128,141,532,416,596,381,708,688,514,814,783,545,502,058,744,653,891,826,269,
271,957,954,249,843,515,954,684,223,102,324,882,688,859,802,884,197,248,080,
596,163,417,600,541,089,371,508,603,539,125,013,649,171,613,216,938,680,404,
782,694,545,023,922,034,835,440,453,405,457,703,219,738,930,753,551,110,117,
680,380,570,077,584,773,317,430,138,144,902,497,241,525,276,165,082,137,774,
054,436,782,840,703,578,530,075,020,364,664,852,687,240,203,639,387,071,242,
647,856,471,466,354,417,406,151,257,422,078,861,998,147,283,944,422,335,935,
896,925,300,461,323,446,811,307,838,548,073,261,057,421,105,860,789,947,732,
048,283,671,354,841,036,073,192,689,512,931,555,625,615,330,940,900,109,822,
862,907,326,285,066,967,754,685,191,673,817,743,097,770,732,499,412,568,038,
197,911,035,633,837,968,605,289,621,444,357,242,069,557,362,606,019,742,132,
854,152,532,067,762,150,739,495,634,429,576,335,886,260,227,887,207,153,633,
866,652,218,206,035,834,272,840,533,480,018,127,598,535,726,698,206,683,576,
325,087,592,525,269,892,823,529,039,026,062,185,867,763,941,193,913,263,447,
697,916,056,928,273,811,403,757,698,662,866,813,298,888,229,931,284,136,120,
280,595,880,245,920,820,513,994,650,881,581,725,225,341,392,565,802,580,577,
215,851,679,746,496,202,565,729,434,537,229,981,019,287,517,406,207,895,388,
529,141,893,103,778,588,843,914,793,000,711,409,095,869,162,435,416,524,211,
563,171,020,088,700,765,349,032,685,375,993,675,363,381,769,412,496,319,268,
742,457,076,764,131,127,283,731,827,035,344,653,611,819,578,593,459,071,676,
299,433,891,006,817,597,001,809,311,154,549,374,388,449,166,603,409,964,179,
540,586,774,364,971,842,064,501,346,088,968,860,066,083,642,823,573,649,545,
775,683,372,362,007,275,883,825,644,437,410,969,025,906,914,935,772,202,207,
630,402,316,469,421,080,149,235,169,128,880,996,183,524,041,505,690,461,651,
829,402,559,435,324,832,261,741,105,343,771,164,587,762,723,717,316,832,604,
846,717,170,982,803,783,976,722,721,597,873,313,714,286,427,993,148,415,796,
458,104,715,844,749,840,938,739,370,048,400,385,988,130,717,501,506,485,154,
808,767,994,655,761,243,925,995,855,182,935,408,614,694,375,047,195,111,829,
643,011,653,162,350,938,432,258,540,908,496,506,383,915,780,577,882,092,721,
337,936,909,221,744,925,553,344,033,859,872,452,598,747,973,064,092,646,851,
274,235,575,453,877,723,615,872,059,337,391,257,762,259,109,801,012,454,796,
374,866,772,056,603,831,566,207,466,054,219,441,230,165,147,822,157,626,941,
452,836,756,200,342,573,452,637,662,459,797,421,671,021,029,202,699,240,013,
144,569,226,397,448,580,931,401,632,007,212,920,936,802,682,861,238,833,909,
120,101,006,788,603,949,964,872,082,443,985,147,252,533,939,846,250,696,307,
574,211,367,146,651,815,845,332,909,461,584,956,675,877,277,269,012,993,194,
491,421,430,690,176,994,228,027,527,730,302,011,915,745,690,274,683,183,226,
608,863,912,743,882,497,972,581,057,896,069,823,584,254,883,747,212,799,994,
012,146,774,677,922,282,733,423,749,969,211,168,729,084,433,609,886,990,304,
746,805,434,076,321,948,755,644,989,322,342,424,535,050,204,465,783,350,725,
412,276,195,835,890,335,619,667,949,988,114,750,911,996,529,583,174,463,189,
941,963,996,976,111,420,275,762,508,320,227,453,610,731,200,517,050,114,973,
683,406,034,702,360,666,277,143,507,566,125,881,882,723,200,536,203,994,871,
632,624,848,165,300,482,979,014,779,593,175,132,781,511,848,010,822,921,549,
200,869,724,857,969,385,077,244,397,186,524,223,010,970,930,386,278,745,194,
231,617,562,839,623,661,643,889,110,858,292,388,166,173,273,962,752,034,169,
139,826,855,329,449,818,034,472,347,680,388,649,108,681,619,065,155,381,051,
148,589,701,661,398,206,277,954,059,070,287,516,760,782,239,292,070,681,768,
543,573,684,475,772,123,108,296,386,472,081,237,270,473,206,946,750,074,442,
805,961,751,082,580,894,177,611,187,694,242,888,774,868,759,415,700,746,842,
790,234,629,350,307,021,627,426,610,144,158,532,452,168,226,126,450,222,646,
318,095,116,510,912,539,346,036,409,573,926,724,760,345,777,915,941,978,490,
725,001,622,361,654,174,178,815,810,040,765,005,903,387,158,057,002,741,106,
630,114,971,220,716,108,965,507,265,248,971,879,608,438,413,151,894,041,954,
563,333,814,253,112,702,311,024,365,097,321,291,054,352,610,990,858,276,004,
711,374,737,754,792,277,535,399,009,110,289,146,050,230,544,267,064,069,538,
254,396,784,447,889,185,402,117,656,946,163,683,197,426,009,091,688,039,169,
067,016,704,390,836,873,924,490,151,124,300,979,201,031,783,030,397,919,587,
841,748,021,371,785,127,873,914,740,299,244,412,644,084,700,430,768,503,679,
847,243,518,227,972,201,572,884,069,211,749,852,860,733,086,657,754,897,647,
251,901,237,611,288,296,863,228,030,006,038,242,330,329,594,384,644,657,241,
374,503,948,899,577,177,852,215,668,222,702,739,569,813,968,883,247,852,918,
391,851,569,982,240,548,302,922,658,905,034,965,796,004,580,699,354,286,058,
538,555,846,452,065,542,595,655,103,275,196,636,981,077,750,143,937,863,169,
144,753,267,193,993,880,087,005,850,675,305,761,379,929,718,090,337,426,471,
240,323,421,419,933,288,470,380,307,912,082,238,598,538,590,387,241,869,915,
405,053,558,555,545,830,923,887,041,117,930,364,131,107,455,536,236,215,035,
898,886,327,268,820,799,862,752,049,757,709,569,801,266,358,938,229,336,352,
057,101,283,823,009,747,367,072,998,236,623,728,268,160,617,837,184,397,539,
751,011,240,066,410,317,122,581,729,853,805,128,916,296,822,990,104,248,122,
159,243,197,236,664,342,459,291,660,291,806,700,042,290,451,654,844,524,366,
775,144,356,815,257,069,531,571,784,732,392,136,948,439,838,474,049,042,724,
236,210,241,166,327,118,694,416,408,123,338,444,271,863,394,968,167,098,240,
884,572,069,979,166,620,841,182,179,682,235,323,275,224,108,689,893,398,826,
077,699,251,529,434,136,859,111,988,703,872,526,948,721,166,001,006,228,913,
552,382,114,999,106,199,546,036,633,964,468,963,725,878,854,843,208,869,646,
346,304,255,824,835,583,667,377,201,000,784,840,621,266,541,243,796,714,747,
019,048,795,023,146,843,223,705,149,265,003,887,009,393,304,651,241,460,687,
128,617,173,641,840,370,054,686,587,474,488,645,892,232,539,157,743,063,485,
720,167,459,126,607,276,634,217,083,718,330,572,782,757,890,434,087,699,311,
503,126,880,861,413,731,788,154,935,267,529,414,373,606,022,412,736,346,775,
150,835,800,898,203,128,568,681,279,053,347,769,202,787,964,559,432,158,057,
089,370,276,115,333,546,024,718,990,853,418,601,015,389,551,259,398,501,045,
643,754,335,532,411,812,357,951,471,128,060,660,768,844,985,441,018,243,216,
452,943,549,383,832,594,819,214,374,996,421,881,335,865,080,576,571,896,744,
385,220,445,000,762,328,037,833,094,873,637,049,148,696,576,707,948,800,900,
839,071,553,086,637,539,416,384,001,717,397,304,672,251,243,082,087,043,118,
410,081,964,243,559,955,384,792,732,288,449,715,156,924,206,627,317,427,985,
391,727,760,173,948,304,870,480,738,480,465,113,111,452,730,262,374,611,766,
338,518,139,156,860,821,506,363,984,078,164,259,345,479,057,832,028,625,966,
239,171,140,299,006,875,850,491,217,029,522,645,237,478,891,122,620,664,157,
592,647,814,761,609,285,722,379,803,403,149,777,032,275,982,793,363,413,492,
581,288,253,112,521,455,682,617,185,617,379,566,557,017,817,133,997,250,247,
455,258,106,188,040,623,953,347,987,784,693,720,139,173,823,911,576,698,229,
660,408,663,421,617,797,233,081,725,507,902,207,421,715,043,884,047,240,307,
251,907,633,912,422,648,990,785,620,894,690,641,339,889,793,178,718,823,321,
459,124,057,681,305,543,162,291,595,276,651,230,015,456,906,490,511,970,958,
181,722,742,860,414,552,155,011,780,441,148,445,201,877,210,286,686,371,223,
041,071,979,187,995,093,350,992,083,859,647,516,050,838,717,802,228,501,699,
857,317,030,459,141,871,415,532,825,968,125,403,706,251,600,317,757,159,745,
106,653,446,827,349,395,958,329,011,475,513,674,044,430,140,161,925,885,956,
510,510,380,850,995,423,806,554,618,508,339,844,010,556,172,490,958,628,042,
752,591,058,243,725,135,550,320,470,559,307,380,912,388,355,087,067,866,999,
810,946,094,108,421,213,743,302,230,006,736,670,729,864,413,986,646,596,825,
701,287,181,547,392,472,381,269,587,569,993,443,870,264,280,955,763,302,855,
112,607,921,907,136,825,155,998,600,696,697,764,043,474,840,177,197,600,111,
488,492,462,543,328,967,880,207,317,124,725,883,969,890,729,165,891,487,761,
042,415,192,870,443,127,440,480,910,248,574,712,891,478,796,619,043,545,724,
933,474,909,646,151,067,459,118,615,439,897,238,356,848,201,890,892,943,455,
412,487,825,718,699,971,303,883,482,012,465,241,135,395,424,953,419,051,691,
055,803,402,436,907,710,595,875,287,110,041,038,283,009,197,969,418,894,214,
760,132,564,281,015,888,885,509,487,101,864,114,795,202,132,117,105,383,456,
115,433,215,507,019,396,138,613,826,225,096,941,387,580,587,891,569,032,164,
640,711,028,836,896,923,637,181,403,342,930,035,363,871,479,484,626,511,015,
783,170,027,938,075,711,716,299,707,878,135,460,175,042,932,134,401,394,400,
012,271,571,775,199,313,483,465,272,548,704,530,124,553,847,915,800,721,783,
045,650,295,394,345,906,655,554,815,948,638,236,125,810,866,608,575,539,945,
419,519,031,856,543,518,463,486,854,030,353,213,170,074,184,523,414,909,140,
036,757,952,247,929,350,047,975,764,475,945,228,888,655,469,195,736,157,427,
706,378,802,132,205,339,398,273,659,965,002,574,853,279,155,121,398,555,601,
013,664,840,159,735,713,913,070,625,537,922,562,673,345,555,421,246,475,182,
975,330,353,378,982,051,572,231,019,818,977,212,123,506,115,050,392,861,951,
537,888,763,655,974,832,214,512,437,324,505,493,016,513,617,850,026,380,103,
162,960,176,387,883,131,439,679,879,895,568,462,708,345,807,606,599,932,925,
298,688,126,381,114,728,526,189,687,511,739,618,757,576,910,846,086,259,501,
944,800,904,400,227,550,838,442,679,490,539,436,232,354,497,245,806,355,067,
599,128,200,291,707,572,504,657,606,481,760,189,402,475,532,574,748,859,419,
634,076,583,852,133,452,264,007,346,838,844,273,338,659,517,152,977,073,274,
716,278,458,755,678,885,761,945,238,793,508,629,494,103,869,908,591,736,003,
528,958,876,809,236,129,617,540,769,372,921,563,959,925,057,759,687,646,551,
604,260,615,465,574,752,787,709,189,277,044,121,969,061,137,539,073,951,656,
594,560,679,441,371,011,025,333,987,672,361,291,063,794,434,557,730,160,851,
295,420,521,352,089,294,128,315,604,341,006,088,094,670,328,293,060,962,784,
197,022,241,844,224,514,573,903,233,115,530,890,297,380,073,612,203,370,383,
675,914,702,105,336,372,976,223,245,274,231,546,962,303,338,813,249,824,218,
935,738,926,311,322,683,794,163,325,183,091,997,147,467,020,240,606,398,537,
527,657,902,187,678,622,023,883,439,926,950,185,171,276,270,220,753,645,605,
821,917,665,009,702,916,590,911,769,245,806,008,625,404,162,104,786,503,612,
636,760,331,076,105,694,130,967,419,948,291,517,288,451,141,112,697,074,417,
459,168,074,119,849,741,252,127,051,245,655,284,833,850,382,068,133,763,637,
501,214,932,408,677,396,292,848,913,282,034,724,284,412,625,479,938,087,808,
180,920,307,243,036,473,540,194,174,113,066,611,450,536,334,538,789,555,271,
514,142,584,746,083,723,563,424,259,406,827,323,125,163,539,359,663,337,284,
609,726,109,472,311,374,825,835,385,731,460,125,885,865,008,747,809,852,224,
677,436,123,352,175,306,709,680,296,183,116,916,093,497,255,180,453,676,028,
409,740,178,081,597,513,993,666,414,040,603,941,143,533,909,654,145,584,684,
584,329,194,632,195,927,540,516,706,869,135,104,851,149,720,303,644,834,528,
363,017,691,945,431,505,399,333,846,374,210,814,353,648,950,062,097,560,272,
419,929,874,066,096,654,405,161,893,509,919,313,963,270,927,483,366,534,761,
660,569,572,088,108,300,588,462,139,510,351,872,479,273,938,235,156,049,502,
473,740,206,463,229,524,214,828,698,864,216,769,834,186,003,926,277,380,529,
612,053,654,957,630,277,592,693,192,509,958,386,465,409,843,944,667,683,672,
192,783,127,161,033,253,312,214,564,798,668,517,247,538,294,768,699,484,660,
657,644,727,779,937,181,492,926,511,050,750,682,234,407,046,418,660,389,064,
692,449,006,079,815,767,664,477,259,716,729,395,954,375,976,493,011,467,700,
086,329,633,583,027,706,018,990,721,624,845,663,248,882,472,889,925,726,127,
283,871,754,159,748,628,279,323,112,102,850,415,936,056,241,500,297,530,388,
659,354,424,843,508,352,856,247,712,409,834,798,291,656,702,422,787,716,908,
960,824,467,806,094,791,914,242,454,474,664,590,543,534,549,528,936,512,667,
565,564,043,684,326,239,109,654,303,360,593,393,327,067,674,307,689,832,101,
898,598,528,715,551,137,657,405,700,377,375,221,357,157,625,351,750,871,791,
605,749,615,675,214,307,527,243,419,618,086,916,911,836,477,321,740,447,137,
412,753,106,434,304,652,514,323,554,190,343,138,925,888,378,652,049,478,994,
289,463,681,808,870,171,528,760,959,246,200,787,466,699,340,203,877,480,689,
291,481,859,600,971,439,268,041,426,754,909,867,864,110,645,977,030,054,085,
062,118,498,429,126,759,856,073,678,519,093,643,247,263,721,439,590,739,312,
921,744,131,285,482,663,851,647,524,547,084,179,386,135,814,160,447,111,194,
778,895,822,045,676,763,816,646,020,000,670,106,217,587,413,824,336,403,795,
084,464,919,374,410,955,714,571,389,084,214,431,043,224,100,085,924,407,519,
279,797,866,522,387,672,467,829,808,900,890,507,422,937,976,681,522,209,246,
376,589,294,520,367,212,864,508,991,084,998,456,207,580,826,860,068,441,335,
486,207,618,674,066,483,794,955,788,977,190,000,622,888,232,496,682,120,965,
021,666,728,815,894,392,537,632,165,414,052,910,323,633,678,111,859,967,693,
368,129,820,369,479,813,452,768,011,813,357,028,378,447,305,381,956,311,294,
196,579,097,617,870,940,350,705,482,309,852,250,691,549,047,478,893,196,232,
534,292,076,542,896,482,306,008,666,153,584,945,503,491,497,793,648,436,737,
551,776,052,637,516,036,624,238,066,340,674,435,952,000,634,076,551,488,066,
563,397,129,352,391,859,831,589,969,232,064,756,044,166,700,189,001,676,405,
883,624,151,486,974,781,385,161,968,863,985,217,985,347,859,139,344,376,832,
394,802,760,352,733,331,637,939,926,621,692,805,073,534,047,826,378,760,415,
264,740,943,612,433,003,338,065,902,070,477,339,908,210,546,626,002,974,686,
680,434,744,781,239,268,815,757,266,522,313,030,217,511,129,981,539,968,019,
713,790,199,889,488,335,982,276,304,308,319,704,791,163,331,042,384,447,931,
040,889,205,471,261,387,678,260,919,444,681,275,496,843,861,525,485,191,776,
268,675,112,210,875,661,352,623,211,297,066,442,055,531,341,734,368,827,598,
773,417,163,069,439,860,081,045,145,175,445,424,320,933,678,034,900,525,247,
550,047,922,112,052,020,824,427,130,919,531,411,141,560,142,114,656,702,871,
756,410,597,909,668,892,413,816,422,538,590,534,639,882,778,828,200,166,716,
104,196,457,411,962,549,903,770,666,155,996,105,088,401,192,092,017,854,128,
512,889,545,254,666,621,835,126,893,103,993,410,512,946,694,597,657,995,056,
229,945,744,245,765,443,368,372,206,891,211,287,934,216,098,276,565,833,798,
287,401,118,393,830,966,131,286,860,733,895,029,435,048,662,176,778,921,087,
634,246,282,865,261,290,727,756,001,866,967,958,631,370,762,430,628,289,304,
073,685,210,961,190,033,790,033,742,566,328,137,603,349,311,613,514,052,058,
885,860,678,526,659,895,699,146,982,801,064,125,125,152,454,911,605,864,099,
521,164,478,163,390,857,518,999,387,713,152,145,516,933,936,133,700,293,974,
070,610,796,435,693,839,938,446,888,520,712,486,413,927,068,882,943,703,177,
965,267,374,593,272,664,885,863,506,065,512,604,346,571,574,042,766,821,942,
621,010,937,275,279,997,559,627,845,535,070,165,269,450,271,503,260,915,838,
654,261,786,240,661,513,965,000,578,745,313,426,638,490,066,614,754,834,354,
311,556,026,558,108,367,777,564,590,617,793,091,718,965,256,659,302,806,651,
181,835,240,207,257,449,001,161,042,794,079,087,642,845,283,513,815,234,242,
348,983,210,243,795,011,272,028,328,785,373,709,550,602,876,377,807,533,054,
996,701,731,470,890,484,376,115,032,170,868,289,319,489,858,839,453,851,135,
955,412,062,488,238,751,870,821,542,663,084,732,921,416,972,984,635,026,016,
194,218,862,151,062,756,898,048,474,670,503,801,885,012,039,897,689,390,665,
435,843,635,593,947,496,952,709,198,320,933,995,540,223,095,832,826,337,400,
298,860,849,818,735,416,037,333,467,206,756,145,927,028,892,661,821,771,075,
804,570,776,176,399,971,450,932,235,443,099,892,718,706,771,037,905,993,201,
563,429,654,987,401,527,741,958,770,228,780,744,316,779,648,580,508,225,777,
700,856,555,556,810,875,996,349,234,843,912,097,864,636,181,145,961,494,297,
759,198,623,270,055,212,005,185,970,490,660,568,858,087,960,914,204,185,173,
057,661,691,682,002,482,013,477,858,575,700,759,913,224,013,681,712,704,505,
462,247,413,336,435,467,768,832,806,978,068,489,202,959,427,631,843,805,016,
089,076,405,529,451,908,189,326,925,119,064,570,779,598,735,693,451,874,601,
644,536,778,777,378,529,894,306,066,990,183,269,861,762,899,896,363,786,606,
135,800,255,781,313,573,957,664,605,709,004,644,800,277,597,247,945,543,298,
239,449,686,910,318,440,219,152,876,316,470,935,151,352,367,152,993,068,698,
180,249,936,309,711,547,287,441,877,539,440,417,242,838,485,523,873,861,561,
226,079,598,989,333,830,440,693,573,598,153,147,196,710,364,221,807,721,204,
176,438,273,372,792,509,722,897,429,540,639,656,910,516,803,952,498,638,707,
258,583,638,935,765,838,286,910,992,854,764,098,300,769,841,062,138,570,427,
987,563,822,954,244,703,830,142,126,399,736,106,887,198,068,863,576,660,346,
879,521,310,585,357,429,995,861,332,023,026,772,226,869,842,078,362,569,738,
915,298,106,039,219,264,487,960,465,632,738,311,912,647,538,988,064,579,739,
236,450,868,454,610,641,924,646,513,813,442,976,262,430,265,080,047,324,824,
430,996,483,406,100,374,442,044,630,580,590,174,933,030,239,559,022,411,109,
533,321,827,186,989,983,685,198,869,425,000,470,399,076,403,218,438,668,013,
071,235,277,446,750,158,507,700,543,339,558,216,041,830,614,141,635,071,034,
242,118,490,411,957,096,199,369,168,951,053,878,765,859,220,921,141,633,743,
310,835,826,974,539,831,408,306,741,298,665,793,412,333,352,757,368,065,474,
717,861,226,310,266,754,890,423,390,682,010,313,274,261,195,407,618,006,547,
603,673,276,273,502,068,343,704,951,533,826,477,203,432,845,994,878,821,882,
439,759,575,788,917,497,993,489,004,869,856,441,849,185,074,952,823,109,999,
604,743,406,407,936,350,192,972,935,698,223,109,312,854,673,971,872,627,168,
663,933,056,926,081,937,131,807,542,651,788,071,211,356,170,110,307,005,171,
904,636,675,037,756,975,142,441,638,972,439,779,755,451,233,373,470,153,863,
959,279,821,819,142,335,861,700,377,922,219,670,908,729,473,439,403,403,265,
326,577,204,951,420,376,895,671,372,683,415,310,568,220,458,090,118,595,884,
048,299,781,282,835,108,791,367,917,074,191,936,132,117,708,701,039,836,017,
798,245,121,070,424,551,140,634,624,945,929,558,364,238,251,090,021,195,637,
100,890,094,110,422,668,399,010,742,730,937,174,521,728,207,152,759,929,500,
806,998,878,072,209,579,432,784,769,263,341,262,168,032,724,136,964,135,660,
482,767,784,051,529,998,307,751,742,664,047,809,742,957,379,841,514,404,886,
596,240,293,193,544,608,064,217,028,587,187,988,709,650,770,207,413,293,898,
914,264,370,068,437,407,927,339,811,868,250,692,115,112,919,225,107,429,282,
112,395,895,959,690,967,475,982,397,693,115,356,808,515,355,484,646,837,609,
955,381,957,110,224,002,360,384,357,077,754,435,761,717,586,802,979,127,336,
521,904,863,554,647,887,989,866,773,848,491,874,956,864,325,347,579,141,556,
415,610,515,060,436,115,072,383,075,373,099,541,327,024,567,385,454,366,146,
638,585,649,433,722,346,159,415,288,883,324,797,988,544,576,376,271,891,875,
082,470,375,611,807,944,742,841,906,466,199,470,290,289,259,121,179,687,284,
949,600,778,493,085,724,189,465,539,845,516,799,191,290,116,748,443,944,225,
468,348,824,856,740,455,433,264,211,846,616,176,174,198,540,813,797,572,641,
866,907,290,011,200,683,965,496,995,172,253,006,351,313,730,351,919,880,926,
221,847,568,893,451,079,443,001,196,120,662,567,382,243,556,270,200,790,019,
839,301,109,053,685,715,261,082,734,007,103,115,399,877,712,744,636,599,082,
868,659,360,851,092,920,326,220,139,606,064,847,334,808,686,148,910,698,195,
463,288,684,959,849,873,544,194,813,465,682,757,534,961,960,200,285,271,878,
308,837,192,042,687,371,114,136,896,786,122,323,965,188,854,710,430,025,644,
865,506,192,259,675,066,522,442,985,096,150,184,875,513,183,071,270,990,750,
388,303,515,428,503,189,234,799,857,348,356,168,986,465,170,184,959,421,718,
529,881,970,457,120,861,051,578,554,757,502,820,161,694,772,850,154,569,192,
138,721,850,947,772,338,262,516,892,948,798,527,103,630,946,503,543,863,463,
737,678,672,212,624,120,794,934,488,199,339,787,410,861,674,726,567,608,809,
248,437,623,722,333,573,692,373,454,312,161,781,875,758,522,776,769,748,092,
668,532,455,680,047,036,170,319,299,407,569,099,786,908,659,764,029,632,011,
155,741,053,247,619,647,819,613,483,369,415,573,725,125,120,456,622,726,484,
564,423,230,188,653,521,118,198,745,113,305,899,374,274,995,264,383,882,755,
906,888,938,506,669,094,077,539,403,585,514,733,068,832,209,191,233,829,033,
632,203,580,852,088,373,382,603,117,745,094,988,448,000,921,637,072,711,362,
024,546,543,812,553,886,279,749,180,194,786,978,743,812,058,389,510,555,381,
350,500,382,029,661,318,959,467,931,465,851,192,417,339,244,183,952,036,069,
158,495,547,656,433,197,653,137,278,374,323,496,779,887,582,690,171,496,064,
896,689,905,940,463,769,420,155,453,158,235,003,859,135,484,432,317,078,988,
172,014,720,292,765,225,614,297,720,248,171,244,181,499,980,244,898,908,181,
488,124,526,412,089,453,149,892,082,179,859,721,865,868,948,854,952,677,667,
233,207,710,631,546,491,342,538,192,546,209,163,944,504,974,979,544,903,617,
081,632,639,814,364,033,444,519,261,236,471,933,743,317,073,942,756,710,919,
812,645,536,089,038,584,383,380,538,446,997,483,039,116,537,785,789,265,151,
440,454,429,747,910,696,393,766,861,864,203,089,765,773,082,558,963,901,226,
594,347,958,133,109,192,839,695,500,672,771,091,473,711,325,136,024,546,611,
370,619,058,722,144,791,609,771,943,094,328,788,777,643,276,043,984,911,635,
748,038,639,943,341,387,198,746,932,675,844,076,223,564,351,212,366,386,297,
605,737,648,519,849,780,583,935,687,799,415,566,983,494,583,928,711,359,083,
909,633,622,708,991,880,511,585,747,882,419,184,010,704,891,841,426,118,381,
849,454,960,219,466,719,478,900,777,081,170,747,905,589,333,572,000,587,682,
239,815,242,204,306,645,350,918,217,561,897,576,750,712,454,516,201,890,739,
149,181,639,177,007,929,599,760,710,380,720,990,471,739,253,717,647,261,007,
114,502,139,413,566,183,376,553,400,557,595,858,604,327,863,196,073,403,160,
395,014,664,224,882,087,435,334,992,016,632,209,664,073,677,644,346,340,459,
217,144,183,474,044,187,981,703,723,396,397,211,099,828,011,215,157,897,291,
345,539,840,961,669,409,421,974,473,329,479,634,530,985,562,973,209,346,662,
492,853,965,292,011,056,107,971,755,831,817,490,959,836,196,104,231,586,354,
520,101,292,461,066,895,942,339,309,127,682,155,691,113,747,077,444,559,140,
964,560,340,179,375,715,906,614,730,975,477,768,607,169,572,751,679,483,026,
269,929,959,784,825,670,007,303,522,330,304,331,159,050,394,713,341,667,214,
239,613,114,377,880,229,722,902,335,321,352,484,064,292,611,721,557,300,113,
051,960,825,277,380,574,896,758,209,719,238,655,698,074,139,466,324,436,561,
115,207,970,129,517,002,831,061,357,797,794,797,017,212,246,529,690,102,300,
129,266,451,384,159,740,088,097,726,720,610,433,265,384,641,941,273,525,867,
214,602,520,261,570,591,811,515,424,005,213,553,086,854,001,653,454,000,138,
928,528,264,875,560,472,161,973,252,058,518,839,594,186,823,051,680,874,548,
053,359,367,081,866,601,584,234,010,112,234,816,583,693,026,975,888,022,902,
895,085,560,870,525,449,988,515,093,810,582,958,001,925,061,586,113,012,611,
232,395,816,875,837,260,498,705,287,805,326,981,647,021,792,225,934,100,650,
242,841,174,243,296,223,451,091,936,649,671,733,053,771,230,667,734,069,458,
538,930,766,125,741,833,829,154,874,855,214,182,831,707,914,010,799,061,280,
399,066,363,255,519,979,193,331,482,119,213,576,379,195,772,547,352,851,741,
971,706,873,159,917,269,160,521,462,974,697,842,830,633,806,154,214,084,583,
202,740,753,902,452,624,929,044,365,195,492,145,766,621,912,658,603,559,745,
597,009,498,268,685,673,535,081,566,819,840,968,351,294,728,651,856,363,128,
022,837,759,349,903,646,911,431,320,364,346,043,015,275,176,061,690,164,283,
216,814,408,365,154,683,162,476,053,134,784,249,748,834,373,276,722,649,053,
409,164,703,440,517,193,900,760,029,058,202,864,695,286,514,114,754,506,100,
189,401,822,179,436,789,701,820,083,970,089,455,508,377,689,688,117,655,178,
522,924,858,339,021,802,713,473,087,523,477,815,861,720,025,144,656,864,805,
468,703,932,010,815,542,875,845,801,377,386,382,832,543,126,532,619,886,473,
493,394,457,486,284,472,170,784,185,378,466,623,671,653,117,244,506,830,800,
677,791,209,952,641,687,229,116,910,230,045,595,423,054,696,917,382,107,447,
283,026,258,701,911,685,886,039,957,161,708,886,381,991,348,569,714,936,176,
260,415,405,432,948,603,325,034,724,818,328,739,737,147,136,438,841,922,928,
229,752,193,395,409,458,979,083,379,820,601,491,339,773,694,059,198,007,504,
484,249,424,589,851,245,217,806,123,486,373,509,055,740,208,951,215,310,318,
345,699,986,261,647,778,089,098,094,706,722,420,003,093,045,869,827,166,693,
813,771,008,040,148,831,219,908,536,445,234,696,466,543,131,965,331,958,793,
289,218,037,764,536,251,200,901,905,678,625,150,466,706,189,613,655,242,940,
867,373,927,234,291,443,608,998,087,502,255,438,454,511,216,498,445,948,162,
580,507,257,580,748,690,447,213,544,957,233,246,180,985,093,842,974,008,800,
562,447,775,427,865,129,867,961,625,264,737,769,164,158,850,934,966,930,816,
041,693,673,941,954,435,378,126,728,215,106,553,596,413,953,322,234,406,251,
019,268,774,830,733,149,682,177,590,338,086,002,768,171,218,702,463,760,737,
403,968,732,263,984,586,133,074,541,831,830,208,858,995,832,291,864,653,769,
749,208,856,963,155,311,631,043,390,219,481,404,671,061,085,590,588,244,464,
453,270,309,675,042,861,164,854,368,141,386,549,907,574,473,345,419,482,013,
488,740,339,969,051,338,713,682,116,456,419,210,805,008,274,332,356,230,374,
809,562,025,472,863,099,775,014,801,242,525,742,238,377,423,032,773,160,673,
454,073,816,630,337,761,720,042,534,802,210,712,936,481,473,048,449,258,339,
013,495,917,115,653,075,140,569,377,000,213,883,259,834,273,881,924,128,162,
451,207,642,422,489,500,885,590,118,289,168,524,210,658,410,466,080,669,624,
470,126,056,752,413,145,363,128,242,084,819,527,160,992,722,132,774,197,572,
481,084,584,983,773,584,839,737,537,925,023,229,199,770,768,109,478,662,288,
228,359,972,721,438,963,201,266,992,166,733,834,905,181,630,709,514,821,854,
659,252,773,619,814,333,154,175,341,712,705,947,061,117,469,915,205,781,882,
379,107,846,075,109,395,127,780,554,676,029,054,978,649,744,206,811,187,475,
420,402,671,673,585,093,995,421,209,493,022,962,043,077,197,517,992,651,197,
599,204,826,208,937,874,739,887,745,196,814,192,665,443,975,299,688,802,736,
455,851,646,153,932,578,290,426,825,003,136,071,924,120,111,013,175,247,805,
726,119,529,555,902,453,885,251,968,572,773,264,947,255,554,560,938,572,693,
901,222,653,703,446,887,341,907,800,038,071,442,804,111,289,223,604,812,906,
789,071,425,658,945,900,423,585,418,052,364,964,798,555,298,724,642,869,073,
837,911,908,784,289,249,686,044,267,108,069,396,716,477,029,966,986,793,245,
779,293,834,037,483,672,497,198,969,962,338,271,410,702,498,961,419,581,101,
796,418,111,572,944,466,147,199,249,086,580,796,448,033,300,920,284,094,010,
864,187,040,672,786,842,265,953,328,883,174,047,826,027,600,124,614,112,132,
327,516,958,612,958,887,971,357,414,317,509,225,031,269,800,120,001,945,975,
727,422,974,306,635,719,292,817,480,940,377,773,467,905,341,462,471,797,643,
614,373,284,839,709,499,076,648,283,579,684,184,321,195,781,148,273,699,558,
373,738,167,335,363,011,258,652,923,769,286,308,827,287,170,237,885,513,475,
919,259,643,565,611,994,190,055,426,482,070,352,027,437,251,446,874,767,774,
939,864,882,877,877,039,297,834,892,132,809,200,864,434,411,411,682,543,731,
444,618,427,245,458,475,604,739,817,205,135,103,739,860,878,461,313,767,580,
161,236,271,453,856,288,985,565,201,005,328,325,677,122,058,764,469,137,650,
804,395,244,179,245,696,143,042,768,479,946,002,705,096,876,072,409,173,791,
347,827,661,422,466,069,668,180,576,260,010,703,151,560,238,404,739,150,728,
091,261,180,520,954,393,669,478,610,862,709,717,949,438,344,266,611,387,090,
588,765,525,012,279,857,924,100,262,730,746,867,402,864,714,733,913,092,987,
472,374,696,895,950,585,907,103,737,157,365,683,374,818,775,106,850,436,589,
502,655,684,998,731,183,528,709,509,560,931,267,327,850,339,047,660,213,257,
518,259,171,851,657,781,349,806,309,341,344,392,893,473,848,362,996,708,976,
331,724,417,041,938,683,139,973,045,262,640,781,757,952,745,656,414,749,518,
940,906,305,821,333,837,367,046,326,098,908,271,873,665,772,446,397,143,087,
120,641,627,817,021,108,028,690,528,149,805,798,779,247,126,016,123,024,736,
801,902,602,854,170,414,724,218,391,725,994,788,568,155,164,710,468,826,466,
188,328,612,079,479,551,285,169,092,335,144,775,972,977,523,167,365,019,629,
595,261,882,202,283,328,015,751,558,694,142,270,320,897,739,048,951,466,254,
294,575,998,580,321,818,926,711,398,888,425,277,528,399,379,408,635,977,972,
512,804,701,994,946,764,054,609,238,671,607,410,566,219,986,125,489,912,696,
812,243,402,220,843,063,749,634,974,386,451,491,900,527,520,135,842,264,365,
234,419,145,547,318,766,022,196,187,669,583,136,744,971,934,151,062,331,575,
167,541,335,565,447,117,923,818,260,432,498,693,429,373,428,185,653,871,450,
492,431,465,610,197,312,482,406,791,416,435,160,690,631,078,637,780,682,167,
793,315,204,291,296,330,696,866,416,575,043,722,018,375,454,113,803,703,013,
457,601,344,365,817,863,785,535,311,921,936,478,394,268,207,349,545,629,176,
962,379,882,623,323,264,333,421,493,862,810,667,796,805,856,972,825,368,488,
436,637,617,681,719,688,625,286,537,483,130,341,864,270,270,203,916,616,262,
364,015,259,787,996,635,286,477,706,215,846,383,674,973,432,730,588,368,142,
229,834,369,522,780,634,130,837,747,712,304,429,297,659,698,526,211,828,025,
795,303,379,073,133,230,304,482,699,898,274,103,485,360,511,325,994,017,040,
771,848,826,600,752,555,329,527,369,615,090,011,555,425,553,364,699,283,431,
672,823,284,437,369,397,685,080,044,638,958,795,898,199,610,360,310,216,361,
316,458,089,765,230,423,284,497,265,405,117,330,587,097,330,225,046,245,575,
788,950,000,178,185,974,582,183,527,860,571,300,402,083,496,230,132,242,535,
617,368,663,067,584,278,240,414,662,485,987,979,811,680,824,875,839,118,060,
252,193,055,960,832,849,320,721,551,168,966,027,628,569,306,278,833,318,231,
818,243,487,722,697,852,203,602,221,636,941,839,208,009,883,374,868,104,350,
127,662,306,243,617,583,195,846,964,563,026,339,987,099,065,431,161,867,323,
271,334,454,673,255,322,102,128,700,050,983,249,620,461,132,812,409,650,437,
115,046,264,690,825,064,327,039,269,400,403,597,859,275,042,967,640,902,408,
549,281,319,153,687,223,095,021,206,701,665,379,626,108,908,009,224,193,208,
336,777,993,474,248,580,685,186,793,948,663,941,600,383,737,537,486,654,575,
587,394,939,830,560,773,177,601,529,597,460,175,434,906,940,675,345,526,940,
328,965,178,368,972,657,577,290,143,229,797,696,378,652,084,299,681,414,427,
153,067,360,128,626,214,912,462,038,714,747,541,420,130,629,075,108,245,217,
281,575,300,368,864,153,151,938,616,247,787,795,171,660,504,174,726,669,082,
366,857,019,431,696,019,975,537,618,459,183,521,875,171,119,696,798,292,756,
762,759,912,994,581,152,841,630,649,126,433,949,468,209,064,843,474,319,078,
385,575,488,964,854,684,623,089,868,534,544,824,114,428,416,816,776,372,734,
935,837,071,217,111,076,004,117,118,696,018,672,811,782,356,378,867,439,280,
167,090,791,247,720,544,615,170,045,581,860,349,956,884,350,099,976,545,639,
651,824,720,857,210,203,695,698,219,104,280,816,691,592,518,118,454,423,253,
628,918,163,736,824,169,732,379,874,284,909,638,249,018,297,351,947,513,940,
341,020,046,281,324,053,598,769,534,028,189,933,014,000,147,309,791,950,944,
333,498,818,085,830,803,989,692,582,823,975,489,317,073,789,938,396,302,362,
682,672,334,145,049,788,493,646,325,756,203,473,662,168,728,489,983,294,821,
980,754,402,221,972,348,914,104,981,530,756,483,831,220,657,504,036,113,758,
917,301,212,374,504,616,584,661,931,105,834,769,802,079,570,272,662,235,937,
696,559,228,822,762,948,299,875,899,699,615,463,102,923,116,099,130,830,697,
922,331,174,139,842,753,855,234,093,336,667,369,713,559,452,410,426,945,143,
834,932,169,459,643,783,777,883,090,302,946,140,803,417,318,785,529,083,536,
586,539,488,626,705,988,594,119,376,029,126,141,051,777,948,413,139,239,820,
088,466,424,176,663,436,528,055,532,396,137,374,719,122,492,204,812,146,946,
691,096,918,570,940,178,523,744,139,105,570,331,282,795,219,863,555,715,625,
446,187,153,260,476,752,650,425,063,246,513,361,210,953,586,253,259,430,432,
432,266,979,083,856,896,795,504,029,614,854,031,784,381,747,648,123,739,288,
361,715,042,499,802,149,352,591,180,519,519,905,920,782,143,350,234,088,322,
302,730,365,393,573,342,108,159,423,454,410,920,007,152,829,136,338,120,721,
789,024,708,133,804,092,569,231,282,635,962,548,291,507,637,904,904,487,413,
898,315,191,001,835,752,968,285,903,532,193,086,006,428,899,498,930,670,788,
887,733,556,250,340,778,767,483,028,225,042,497,646,151,988,278,164,755,571,
080,179,277,396,707,011,931,645,968,122,007,955,972,808,804,615,969,442,791,
120,144,867,202,990,045,053,573,790,750,084,074,316,371,594,665,051,350,716,
825,718,365,637,358,078,214,436,579,947,537,752,632,639,027,824,159,097,494,
664,916,915,231,784,633,074,442,847,089,841,019,142,695,037,693,988,048,705,
469,545,447,118,062,491,825,496,866,584,108,440,852,734,622,533,097,916,761,
205,098,748,457,275,790,755,460,358,731,577,449,045,408,182,814,320,039,538,
644,770,380,526,520,447,175,905,330,600,732,269,112,023,399,312,439,972,892,
149,791,460,753,873,700,779,215,216,315,093,485,329,242,940,406,235,435,100,
634,688,810,689,155,149,603,634,782,061,973,092,942,680,012,010,748,177,403,
133,766,826,769,761,821,134,660,011,995,040,975,602,497,999,013,209,543,635,
978,007,903,799,850,437,067,120,804,326,769,867,582,687,114,991,279,849,391,
245,214,893,470,571,210,083,738,144,753,197,503,992,976,761,231,882,049,679,
327,204,640,951,578,375,422,637,197,662,196,196,838,074,518,584,227,786,462,
011,681,476,582,095,325,513,156,979,694,695,609,800,670,377,879,357,971,255,
322,640,599,228,246,996,077,369,301,769,617,146,399,277,779,685,053,203,822,
018,177,815,179,539,170,503,506,029,231,032,157,282,714,848,577,713,461,065,
532,432,446,112,075,980,493,617,991,722,849,094,637,509,457,733,192,013,547,
485,567,673,242,926,335,395,396,603,066,774,971,172,907,677,252,753,353,840,
472,752,111,809,599,053,602,125,077,306,441,832,375,244,954,088,729,097,166,
034,176,005,249,814,143,438,181,529,782,638,605,879,662,907,522,599,442,770,
684,088,873,509,642,247,826,931,508,668,986,993,800,563,989,142,625,990,145,
395,584,675,649,176,832,233,778,860,626,666,336,561,909,031,777,412,610,623,
970,506,249,469,326,068,005,403,198,823,024,549,323,012,531,183,097,899,960,
038,019,578,718,394,771,107,946,865,209,162,209,267,710,099,406,957,921,828,
644,474,889,220,573,813,882,680,419,041,703,510,882,664,561,399,391,251,336,
637,519,672,102,473,614,830,923,467,836,429,099,290,410,161,894,850,393,697,
949,839,015,776,282,468,929,935,482,344,723,007,206,025,224,301,794,400,034,
428,605,956,033,535,783,078,121,217,168,366,134,964,389,711,867,173,730,193,
412,302,889,654,639,812,492,411,874,296,831,952,560,469,065,365,975,738,082,
514,565,662,952,832,945,261,548,289,181,458,498,578,896,466,201,892,515,607,
306,869,448,943,680,458,859,976,575,959,902,792,141,008,812,501,707,463,607,
909,860,663,413,792,647,887,425,603,829,015,412,207,091,244,720,439,334,605,
587,804,406,338,096,606,391,144,194,320,265,489,459,281,778,857,130,214,048,
150,807,400,576,568,478,518,321,280,705,433,407,678,166,076,895,438,286,484,
871,772,255,606,782,199,053,235,206,599,749,563,364,303,370,854,254,585,842,
399,430,646,207,966,007,696,629,069,616,955,701,984,344,025,849,561,623,231,
864,574,019,741,385,174,953,764,284,971,035,409,576,938,683,068,826,652,910,
349,734,740,344,162,064,919,190,530,540,394,049,349,075,609,291,419,423,506,
638,084,578,111,283,472,626,941,127,739,134,504,036,059,702,026,015,692,315,
404,136,561,349,539,482,499,260,160,296,781,920,837,926,755,573,049,282,006,
863,601,943,928,757,286,753,067,352,169,602,659,564,563,535,737,980,884,286,
642,487,844,086,467,285,287,141,905,998,181,221,304,515,779,970,429,097,481,
877,669,370,649,649,411,263,157,385,247,756,673,871,700,126,595,573,291,918,
296,420,092,175,616,757,270,104,865,339,769,140,207,745,954,756,095,498,921,
764,990,636,185,497,137,413,711,807,287,997,751,421,457,760,520,817,177,628,
621,976,810,307,406,465,870,100,476,407,821,521,466,941,865,492,871,584,062,
406,983,931,447,145,736,784,760,986,129,716,976,657,573,646,661,891,539,808,
211,346,621,625,985,119,441,667,024,462,770,660,896,911,006,609,308,275,038,
574,196,232,818,618,769,590,561,600,046,747,225,220,900,258,453,749,641,337,
926,100,434,721,252,431,169,860,140,320,608,381,974,210,658,848,253,219,104,
609,945,213,649,157,277,816,528,217,989,182,661,660,729,848,895,258,211,215,
418,610,641,687,205,303,794,884,678,278,891,104,802,083,209,250,549,308,854,
459,598,379,810,621,931,433,961,248,096,642,803,893,421,345,461,858,878,212,
820,671,760,844,087,031,596,677,672,999,106,181,591,745,619,660,668,051,246,
492,684,853,905,005,681,124,390,448,024,438,190,385,291,328,742,457,210,582,
769,745,882,008,908,815,339,143,963,246,619,144,267,309,378,042,731,990,463,
574,665,140,419,701,924,158,136,961,160,227,786,440,033,494,810,046,255,701,
665,791,620,466,278,064,414,733,846,535,022,614,352,667,392,186,057,673,662,
560,183,892,513,134,926,328,790,391,179,895,978,321,236,343,283,235,753,526,
305,953,748,588,120,653,187,503,360,701,324,613,876,122,639,778,524,659,414,
514,971,460,533,581,704,354,258,381,641,592,062,049,867,190,728,501,234,361,
037,599,964,957,629,512,179,126,720,327,330,397,714,359,771,702,617,444,655,
467,732,245,135,967,971,474,460,760,257,103,209,607,047,850,497,454,529,361,
402,699,544,976,222,433,241,543,734,099,565,074,365,068,735,843,384,903,649,
749,174,819,935,207,600,269,043,270,079,905,570,128,253,595,282,263,850,798,
191,859,990,495,029,545,871,300,644,675,946,697,270,008,508,714,057,757,316,
494,653,379,321,125,587,669,513,185,001,332,543,190,360,567,370,468,663,609,
570,312,968,462,516,504,013,626,795,897,479,344,919,823,223,494,572,219,773,
728,890,667,196,522,794,374,919,248,016,491,613,602,382,490,042,881,381,698,
145,105,563,713,548,701,843,079,625,914,730,971,055,300,660,471,602,910,646,
987,085,830,939,688,704,847,511,734,496,638,064,119,165,656,146,184,948,835,
733,066,676,962,192,456,444,752,077,036,959,855,762,396,109,941,470,485,019,
858,923,806,229,355,802,601,461,860,824,993,179,404,524,999,958,003,068,049,
203,253,351,443,020,329,656,272,799,032,703,683,225,501,258,639,316,955,244,
341,925,390,785,061,810,730,080,593,770,044,772,713,400,565,885,755,572,077,
124,201,466,293,745,589,987,976,231,339,848,567,772,595,239,083,548,065,451,
122,155,452,113,573,243,509,687,586,046,827,417,987,454,386,690,093,908,283,
937,006,839,972,878,729,964,037,872,576,805,747,809,360,084,315,085,879,245,
833,895,906,275,111,281,751,844,544,008,664,020,229,163,979,403,148,370,347,
472,615,806,893,495,530,741,379,447,472,228,277,994,371,547,999,720,004,397,
275,373,268,483,411,834,343,516,327,728,932,142,243,368,650,820,914,460,920,
392,481,812,374,548,086,156,893,179,843,908,405,766,460,633,917,683,957,513,
578,773,819,241,974,374,432,858,943,530,201,063,834,779,586,198,047,255,896,
285,005,823,387,674,319,759,039,970,667,518,208,077,586,529,640,683,742,674,
465,558,053,815,109,221,368,551,525,185,156,700,956,926,458,387,113,400,870,
626,857,440,820,698,931,858,805,864,006,066,055,724,555,544,342,289,756,960,
621,006,819,600,047,887,183,347,481,524,495,427,324,051,731,522,111,443,803,
103,985,661,685,147,553,868,608,404,088,161,444,146,200,789,852,143,382,803,
945,805,947,695,777,818,057,404,142,547,265,472,121,431,529,081,011,273,609,
680,582,828,600,484,313,935,719,115,966,189,922,522,488,601,442,512,196,795,
247,648,017,902,578,693,392,051,753,058,681,896,223,861,484,370,430,107,894,
874,497,776,511,661,565,773,323,050,375,382,056,137,644,546,980,631,175,996,
592,100,513,636,136,237,620,119,132,326,139,223,391,912,479,185,331,076,018,
883,444,694,038,847,326,097,496,138,771,696,860,632,315,614,295,908,741,763,
683,138,102,706,064,468,970,983,192,175,734,797,996,962,170,663,875,157,430,
692,003,050,048,767,036,180,331,802,784,092,428,135,638,295,743,592,695,896,
943,729,327,172,810,544,431,788,708,725,677,944,087,889,072,259,273,321,243,
344,991,015,354,150,754,366,081,837,066,951,235,974,041,318,691,781,092,813,
906,808,218,284,867,228,605,443,994,033,751,753,860,534,505,722,336,802,071,
609,315,284,795,579,051,945,739,851,974,726,555,701,613,334,081,104,793,921,
916,410,545,445,419,979,058,114,833,656,449,968,849,496,643,933,644,114,256,
456,023,492,130,465,262,823,717,919,338,731,448,517,235,067,143,160,350,528,
416,331,579,697,261,552,322,824,702,755,214,818,900,448,166,933,861,710,290,
466,925,982,681,364,474,075,713,151,003,511,323,517,921,250,279,629,338,139,
688,577,662,996,531,993,332,401,310,165,034,187,373,709,687,136,431,663,941,
488,086,596,496,107,736,995,676,927,273,224,076,218,787,366,725,864,529,288,
322,459,020,387,121,755,590,190,117,593,459,766,486,269,818,112,652,074,172,
191,401,909,813,606,245,517,883,874,894,182,561,820,572,954,944,203,660,838,
943,276,787,890,068,400,149,853,333,077,056,397,367,183,733,266,991,270,877,
430,306,526,328,915,660,050,655,915,373,176,716,853,777,977,014,480,392,569,
583,820,227,812,378,475,257,379,707,804,266,123,927,045,344,208,693,173,803,
666,393,140,803,902,588,628,019,346,194,243,344,576,278,299,915,915,541,693,
790,972,854,566,362,335,159,692,410,990,141,350,223,262,866,847,269,483,668,
639,500,741,850,780,666,105,109,623,392,055,590,006,753,253,180,457,547,233,
209,030,103,428,108,344,662,869,120,903,290,662,564,897,994,781,568,414,283,
583,008,838,318,566,341,238,441,991,863,344,151,485,308,704,897,653,229,411,
908,731,011,072,752,295,534,939,622,918,030,284,883,408,895,797,592,867,836,
152,977,577,653,877,497,888,196,809,153,917,723,236,080,435,248,022,753,022,
418,164,738,060,185,362,639,415,788,763,984,467,177,156,170,494,984,261,577,
791,251,891,530,051,647,001,499,381,896,336,233,729,017,446,734,106,617,224,
660,956,303,150,499,821,530,939,822,979,327,068,944,869,713,048,171,857,207,
087,845,912,878,522,617,541,013,004,141,871,408,092,228,856,510,994,478,396,
302,309,340,825,467,321,822,224,210,440,556,828,030,560,119,492,007,337,647,
083,151,045,867,729,252,589,583,383,585,510,888,821,064,878,481,205,591,238,
072,142,663,912,313,174,809,038,336,404,170,517,017,631,710,277,253,568,785,
300,491,468,852,755,639,486,733,432,722,725,767,377,479,421,807,841,285,476,
615,888,143,194,101,957,984,743,184,628,588,690,559,686,780,972,990,412,533,
857,387,188,702,688,768,758,790,965,457,683,084,100,294,708,035,283,840,396,
392,562,246,329,000,207,564,635,128,585,508,121,275,049,696,109,906,952,418,
538,447,266,487,987,056,737,833,387,143,307,442,015,056,137,692,115,536,863,
565,518,904,127,618,445,881,194,001,186,716,667,057,194,405,849,385,706,480,
791,347,328,371,045,185,887,299,499,886,031,220,816,324,785,512,898,656,132,
184,737,285,491,547,200,307,684,984,932,245,298,757,023,785,658,251,889,426,
244,692,032,831,790,860,696,862,578,691,531,412,057,473,753,284,097,563,351,
502,444,080,153,660,888,549,640,695,344,743,854,384,078,571,161,401,929,719,
304,054,077,471,142,541,089,012,660,273,968,251,737,460,163,509,343,700,999,
295,511,987,380,327,599,183,759,582,122,997,331,822,928,098,097,283,489,195,
708,213,314,271,623,530,101,658,985,488,840,554,826,902,651,107,753,417,629,
281,233,939,490,530,290,339,073,842,036,617,772,856,483,050,137,079,547,183,
936,504,314,159,627,525,081,394,529,809,212,471,931,322,221,019,503,220,794,
720,509,925,359,773,177,475,820,792,990,595,145,665,308,197,773,185,451,668,
639,504,729,294,149,709,199,913,033,965,183,544,975,951,443,418,599,935,669,
375,111,220,993,500,204,091,583,653,496,186,757,312,033,640,620,122,424,239,
627,984,839,478,570,692,736,269,345,926,149,198,298,942,663,582,676,483,890,
503,170,161,118,069,475,293,045,987,969,941,353,370,420,403,700,483,667,308,
567,431,550,509,020,159,113,090,680,809,899,762,485,122,088,003,343,139,924,
634,397,636,793,925,552,524,157,919,800,631,900,359,964,384,970,536,831,911,
634,644,847,802,651,770,850,611,688,840,409,149,526,666,802,141,146,034,284,
455,386,927,397,107,538,081,650,698,818,023,299,272,256,937,618,074,496,923,
646,114,137,521,199,148,097,149,934,551,361,357,578,899,812,109,861,358,110,
106,215,936,862,428,573,573,235,715,653,486,367,861,203,374,079,550,744,829,
104,657,560,744,796,157,403,323,729,524,463,342,392,704,818,524,222,306,198,
941,939,826,995,844,095,842,512,285,425,798,882,716,976,039,513,676,006,933,
199,757,464,332,890,699,220,850,384,644,238,491,015,214,649,283,212,063,081,
233,802,492,361,616,163,163,227,420,283,676,063,921,798,112,884,854,919,100,
552,957,933,727,421,201,511,860,559,520,666,737,998,360,116,147,997,431,004,
920,444,546,389,563,818,215,289,315,648,974,639,861,180,509,282,034,732,721,
836,363,214,545,374,735,318,925,259,994,382,629,690,433,114,018,562,116,338,
724,505,579,026,326,888,070,767,043,093,439,325,564,662,869,749,567,363,256,
097,146,685,553,729,246,009,862,394,262,403,754,881,647,576,719,418,478,608,
824,445,832,075,614,699,640,978,860,138,965,501,936,202,103,593,444,652,553,
095,596,284,767,556,263,255,342,396,882,857,346,777,870,994,551,284,597,585,
014,949,706,413,575,017,365,108,113,436,967,529,002,299,866,563,248,834,527,
764,156,226,346,015,727,061,786,057,030,097,929,505,315,268,391,159,976,926,
936,114,659,515,163,542,079,326,233,390,727,880,881,873,286,671,862,249,944,
659,351,641,187,995,143,935,029,576,935,565,655,136,561,747,244,976,667,357,
305,925,042,816,138,991,897,978,219,066,330,226,047,839,974,629,168,302,922,
757,953,662,129,649,086,707,040,991,409,103,328,018,085,518,929,605,647,968,
976,531,296,610,622,815,316,326,417,354,220,849,781,827,810,377,443,618,631,
497,698,794,014,118,229,176,948,517,093,746,319,225,556,943,599,625,341,513,
909,010,218,979,306,136,314,653,989,176,348,308,027,538,887,508,978,788,992,
949,454,968,293,725,255,640,758,910,259,739,030,726,672,689,705,703,938,503,
440,252,763,068,383,202,652,645,050,039,810,014,752,203,638,431,290,088,398,
137,233,304,839,748,581,349,577,862,122,204,029,877,808,330,613,219,688,669,
152,629,796,666,077,951,388,123,158,546,250,338,727,374,284,682,084,980,540,
762,473,286,840,766,274,111,422,091,840,759,669,631,167,437,165,505,354,539,
164,424,286,685,974,871,603,388,346,851,317,248,057,136,791,053,500,397,370,
021,648,438,389,010,917,905,033,471,655,604,495,077,006,918,094,986,122,248,
321,783,922,769,391,230,023,329,719,184,609,175,037,349,567,742,033,905,597,
394,556,887,750,991,286,658,658,252,945,889,710,242,531,207,545,732,699,644,
685,859,582,097,099,193,346,882,854,454,174,779,029,779,595,179,991,939,705,
885,990,481,435,490,613,965,408,194,758,533,377,052,688,072,273,778,348,182,
510,493,815,081,901,764,236,460,967,797,193,370,789,683,677,246,264,758,017,
531,610,270,201,294,121,546,210,091,733,621,958,053,305,716,665,963,331,625,
160,244,252,594,615,432,151,078,819,951,625,443,635,994,898,728,779,605,593,
096,908,030,180,036,416,613,532,773,141,333,036,671,651,164,742,791,434,792,
719,877,374,435,070,932,176,682,628,756,232,690,082,268,612,710,480,340,397,
453,236,126,898,605,328,826,173,381,526,380,430,289,942,628,824,717,841,577,
259,751,857,500,677,806,347,002,174,262,365,376,105,882,513,192,287,990,064,
264,710,107,327,564,593,433,335,977,438,890,927,928,132,909,383,203,526,288,
235,615,872,357,987,964,514,729,340,698,764,880,537,621,628,380,466,516,144,
968,523,160,373,074,212,647,308,908,152,723,972,384,083,021,642,694,330,467,
587,444,024,845,267,809,927,672,118,892,550,012,793,743,075,054,543,906,900,
269,088,551,793,934,833,007,664,345,871,571,661,115,222,925,295,695,638,756,
782,512,803,588,331,575,154,673,005,896,799,933,003,374,884,698,282,024,669,
338,681,800,635,629,042,917,928,503,042,497,392,743,677,100,973,286,176,007,
458,833,504,237,032,724,436,216,373,175,454,398,905,564,351,026,159,576,228,
675,141,196,842,626,354,462,049,508,126,232,026,544,425,362,489,740,464,241,
040,309,942,795,355,996,168,237,822,746,058,857,884,737,138,761,419,567,853,
124,009,903,884,468,915,504,406,448,230,723,667,935,068,520,446,076,706,004,
234,250,875,776,088,167,562,289,888,183,281,503,873,144,294,662,808,340,497,
164,731,772,965,198,039,315,236,504,857,814,815,425,642,553,661,447,650,179,
521,271,715,666,805,649,301,269,467,690,115,643,438,317,867,589,057,777,933,
153,383,101,685,421,401,339,848,421,893,531,980,392,864,311,680,828,064,612,
964,479,726,669,130,260,225,610,656,715,442,062,339,494,816,675,390,676,941,
150,437,621,145,448,480,989,352,164,819,012,197,934,994,542,224,567,467,973,
455,495,791,472,536,791,477,591,721,689,595,301,220,805,118,741,322,396,496,
775,846,586,156,749,188,886,496,740,294,383,288,630,306,881,248,255,720,306,
533,110,618,897,542,949,632,795,452,768,790,238,656,165,600,893,714,277,052,
521,561,854,947,882,239,107,650,887,467,938,460,716,963,031,066,564,257,976,
384,823,571,158,011,360,095,496,615,295,151,582,642,137,396,895,970,947,159,
472,706,788,434,985,174,113,795,236,303,946,209,202,646,894,140,263,573,289,
427,991,086,236,493,625,813,510,531,107,143,088,476,852,314,238,663,644,566,
001,103,541,593,597,890,178,706,205,691,282,432,127,064,563,807,488,814,310,
353,099,404,778,452,768,045,853,835,852,596,861,735,953,526,963,831,209,903,
404,123,127,277,033,054,595,755,795,093,943,487,806,686,362,046,718,217,151,
974,862,379,553,945,991,903,151,024,940,417,890,085,327,204,448,501,732,491,
674,011,450,291,597,323,576,646,367,889,067,907,403,399,795,662,152,704,383,
834,145,112,707,104,938,875,524,946,547,163,335,297,154,475,275,948,191,663,
313,660,500,171,400,476,380,795,994,999,117,260,300,332,559,289,122,011,463,
299,263,280,483,202,606,411,591,118,528,818,553,604,731,203,599,596,142,134,
118,200,790,081,092,918,534,651,819,262,297,503,094,214,464,783,561,226,261,
021,770,080,331,751,461,139,058,544,453,341,290,647,927,900,931,436,750,371,
101,584,642,513,882,634,546,598,591,849,559,734,919,532,041,695,123,940,789,
990,262,536,187,141,289,697,917,984,886,132,551,576,621,360,585,994,897,848,
172,663,287,266,811,719,276,621,480,908,991,561,845,576,710,309,746,907,538,
874,511,963,874,014,998,577,739,618,851,244,114,196,405,981,696,666,745,941,
163,693,525,953,372,336,593,111,996,618,264,472,074,402,704,682,823,214,051,
621,822,263,970,164,290,021,648,208,684,031,368,227,153,202,772,452,428,578,
929,765,830,504,673,799,377,257,281,368,070,598,695,692,907,335,146,453,617,
164,710,747,975,123,020,993,308,016,106,311,727,398,437,411,669,145,054,093,
389,394,637,766,301,529,492,693,746,197,568,142,769,298,194,108,319,105,820,
895,936,468,354,894,825,006,625,877,597,411,539,150,051,388,358,904,321,130,
212,158,907,583,057,591,618,081,733,994,279,670,029,511,875,099,955,480,039,
015,221,037,553,660,763,901,199,572,162,039,246,191,210,419,991,080,933,517,
814,891,992,042,476,076,733,541,272,809,975,511,910,734,809,790,070,425,110,
739,135,268,415,090,734,314,397,116,537,443,254,420,985,928,844,639,924,593,
483,798,433,621,147,821,230,552,416,782,915,226,174,487,151,333,997,731,572,
716,985,865,512,433,442,339,462,226,469,913,245,600,114,511,210,073,850,696,
623,092,344,133,350,938,022,152,274,107,612,505,450,946,873,853,122,240,248,
723,564,940,449,693,742,344,631,090,084,137,225,662,584,329,919,699,041,113,
687,982,366,569,791,599,581,623,072,836,215,979,565,821,410,092,907,032,262,
678,749,276,706,198,991,232,640,204,981,915,888,626,123,449,419,716,481,771,
500,065,947,206,251,010,908,713,906,070,150,563,546,371,790,193,618,855,223,
596,394,092,846,342,617,916,044,584,762,794,941,973,585,691,474,421,259,727,
613,991,960,118,145,325,581,220,907,094,842,122,155,508,442,712,097,799,018,
010,056,172,245,675,073,370,853,792,406,234,490,323,106,319,719,489,786,393,
228,508,919,132,963,349,869,326,721,572,576,567,008,965,788,313,397,426,773,
228,503,962,751,684,282,655,108,113,984,928,868,567,934,135,357,210,716,702,
116,447,381,084,209,258,791,525,741,181,778,490,560,446,770,703,255,269,911,
726,345,803,693,617,525,073,596,976,413,838,388,849,800,676,699,507,235,910,
255,357,529,808,069,317,380,897,624,403,914,748,442,224,422,229,284,687,417,
901,885,109,864,983,595,488,934,000,208,003,448,341,657,500,921,631,244,689,
865,078,429,351,710,625,047,420,081,468,367,152,992,315,074,042,287,484,482,
889,639,555,952,367,475,581,228,113,428,365,430,897,159,938,316,893,284,430,
901,694,005,269,476,731,813,712,753,530,847,120,459,087,778,445,216,487,448,
056,926,596,137,668,083,406,434,625,950,132,607,554,553,384,780,285,336,708,
828,072,242,998,788,753,941,538,978,832,879,124,208,142,323,458,541,584,001,
184,886,625,139,480,842,208,782,555,665,962,638,306,628,191,953,929,021,177,
598,343,649,440,962,924,604,922,466,282,690,672,755,526,739,463,993,835,242,
425,127,289,387,316,712,407,100,135,090,449,096,961,493,123,687,567,849,922,
725,306,763,067,214,470,816,992,577,765,946,570,466,762,841,626,714,490,026,
666,275,149,168,543,237,516,456,621,847,201,571,039,458,841,456,134,137,043,
425,302,147,555,679,307,274,796,531,206,735,221,889,379,589,571,857,118,375,
931,312,159,447,366,187,752,282,382,169,984,360,799,690,632,498,496,785,732,
369,466,897,392,871,025,184,024,793,368,457,212,260,115,654,303,267,761,532,
282,458,216,040,535,213,116,283,863,100,028,477,749,957,710,480,097,236,462,
446,372,679,072,140,508,939,372,191,263,211,199,147,731,811,493,925,916,469,
089,635,989,119,413,850,176,268,271,736,065,750,855,694,951,836,585,528,655,
753,688,093,041,465,036,051,692,643,339,911,524,981,725,238,625,912,659,817,
582,407,736,445,470,834,527,275,124,748,909,130,021,871,053,960,191,725,867,
453,497,217,840,005,598,579,114,716,758,543,081,448,477,184,930,235,449,838,
201,461,279,481,054,538,607,380,213,454,889,632,050,123,103,901,620,247,879,
946,078,699,042,295,821,724,987,580,604,774,999,492,436,286,288,505,608,129,
688,245,301,872,052,335,436,265,029,490,576,698,231,470,364,482,826,301,829,
145,903,345,318,900,151,587,526,349,273,870,983,176,022,198,143,723,108,748,
628,607,495,660,808,342,744,039,103,573,138,729,846,142,664,001,570,232,703,
015,468,049,864,332,261,592,851,826,053,929,194,469,961,211,679,217,146,367,
280,472,325,243,505,612,723,385,155,448,325,096,890,087,925,038,184,778,126,
175,039,256,567,104,618,750,159,685,018,733,368,414,993,908,429,366,801,871,
043,453,552,248,941,739,979,328,717,907,583,527,356,866,734,979,876,518,781,
284,362,030,638,844,725,568,147,126,383,811,264,358,655,116,559,350,217,829,
515,569,828,389,211,683,934,768,614,417,595,529,677,127,473,039,062,260,650,
979,727,653,239,482,061,876,728,380,412,743,820,472,033,583,356,958,534,277,
194,750,006,092,112,738,917,040,126,616,464,948,155,937,040,171,248,010,551,
228,330,137,755,575,705,815,864,057,815,177,658,379,885,209,698,910,791,389,
389,782,697,173,386,914,431,383,254,998,116,332,573,267,821,086,823,097,264,
676,581,874,717,383,876,203,577,874,348,066,670,889,330,476,726,992,118,188,
198,680,659,662,761,880,207,065,162,566,769,978,588,864,271,706,202,564,886,
730,908,772,717,333,455,433,768,666,974,239,346,061,033,479,367,524,289,546,
958,177,118,309,060,950,920,017,077,244,269,493,385,847,754,096,281,792,908,
328,048,851,410,939,517,520,950,918,451,423,077,898,395,168,270,439,770,728,
488,105,044,162,070,925,976,164,562,392,740,682,907,732,998,878,620,683,973,
734,955,880,677,494,602,218,751,316,869,353,592,397,906,902,474,561,773,293,
910,135,535,888,840,987,008,890,607,813,512,434,983,869,131,496,383,603,094,
444,872,433,137,602,015,580,751,044,319,610,408,409,600,291,881,929,623,778,
680,555,076,346,388,180,430,295,207,068,209,949,872,155,324,929,817,894,360,
868,050,966,943,531,273,110,557,910,147,620,864,075,368,995,494,739,852,629,
873,146,877,766,612,244,202,907,641,021,157,869,175,135,316,402,446,298,077,
662,586,015,103,510,329,043,360,587,533,896,964,484,847,150,367,339,976,191,
935,433,536,328,046,755,692,741,672,509,208,592,849,614,120,715,010,804,217,
726,955,317,546,682,255,849,123,571,190,396,983,920,278,410,082,556,778,907,
489,516,275,181,818,591,728,056,499,335,484,942,626,532,144,976,100,110,993,
490,252,804,270,514,658,519,120,577,770,908,558,453,466,061,369,515,589,073,
671,551,823,966,265,968,832,116,410,271,092,197,531,389,213,533,471,797,800,
942,250,826,481,797,030,439,318,721,643,498,309,029,511,259,407,623,552,003,
484,489,359,337,050,953,890,377,864,127,243,702,872,215,984,966,264,132,449,
352,110,700,917,830,150,891,135,952,668,434,913,027,772,330,955,048,720,879,
443,565,233,586,652,230,208,304,592,819,201,008,165,740,420,793,750,633,379,
743,820,022,923,794,129,739,945,548,728,239,506,104,751,557,950,967,018,028,
423,920,383,921,881,532,838,117,059,977,677,988,274,616,272,203,653,248,756,
424,662,385,546,234,050,784,614,023,454,815,276,789,166,320,979,092,797,968,
336,889,344,678,234,444,417,905,279,218,644,617,400,651,685,705,350,371,933,
111,007,327,193,401,350,907,981,509,265,202,441,023,890,557,736,493,845,365,
019,640,712,353,863,253,403,862,758,543,574,441,544,187,154,795,589,312,795,
732,594,231,572,003,480,248,722,377,112,822,201,099,626,980,187,455,268,838,
869,041,896,668,887,928,595,885,558,174,289,473,283,569,585,152,591,107,807,
315,849,793,125,764,889,900,224,449,392,864,706,221,808,457,066,892,436,814,
928,884,712,753,632,102,201,701,870,931,178,997,966,457,925,174,147,903,562,
644,083,389,433,478,464,941,439,778,597,785,403,502,267,707,448,609,038,866,
396,539,440,002,222,991,990,704,918,811,748,563,639,750,564,885,547,834,953,
054,396,574,168,127,566,237,790,975,051,411,033,988,729,696,918,744,858,617,
620,260,412,043,814,424,472,753,147,370,011,430,264,153,531,261,390,623,864,
423,169,722,983,082,402,009,588,802,662,535,966,403,127,598,531,293,495,523,
820,746,781,431,252,310,035,796,992,860,400,902,923,637,892,040,412,940,201,
370,672,699,341,817,798,609,672,954,909,970,409,756,994,942,619,789,059,274,
190,384,416,138,313,315,676,801,924,791,457,543,723,755,765,056,620,452,677,
834,375,668,237,265,965,422,459,785,515,321,107,053,713,326,649,752,877,525,
565,024,812,442,683,400,933,833,372,078,862,169,802,326,047,187,698,048,746,
262,098,387,633,256,177,873,730,690,538,313,757,180,562,971,213,586,092,064,
764,967,922,945,938,796,368,281,413,991,480,703,102,072,812,756,567,077,347,
884,416,857,191,161,100,825,810,012,453,035,077,800,962,902,424,239,062,840,
299,207,134,403,299,086,382,521,897,556,424,288,962,732,177,020,275,289,064,
338,089,334,665,302,407,260,471,648,262,561,133,861,093,493,033,592,545,130,
460,558,852,785,754,351,212,702,492,687,122,689,924,872,156,356,798,529,585,
261,511,799,707,642,620,996,852,612,294,493,253,638,025,636,934,267,772,180,
502,243,247,266,318,194,835,834,907,006,681,589,455,816,037,879,865,430,565,
757,557,549,753,756,941,455,399,129,583,399,822,425,361,864,738,346,239,665,
581,090,424,013,154,925,378,794,013,057,616,040,007,643,716,700,720,527,145,
286,083,248,551,700,082,300,948,538,916,419,881,716,399,736,382,272,186,399,
141,382,484,670,484,760,019,504,876,694,765,577,824,981,504,978,606,819,298,
321,015,192,534,675,287,721,111,873,589,904,823,522,877,234,730,534,672,975,
273,755,221,440,259,955,391,106,302,068,711,285,986,078,044,611,823,675,651,
893,872,514,083,490,977,445,651,228,979,225,523,557,811,929,253,079,999,097,
412,116,149,463,050,236,482,197,742,701,314,035,922,557,081,185,156,136,500,
632,571,963,362,520,636,178,048,102,335,973,977,673,138,100,183,770,354,233,
116,068,358,016,030,234,416,777,761,404,143,047,555,356,362,583,176,907,221,
389,104,110,898,267,443,070,126,131,222,849,635,764,160,994,320,637,841,182,
616,398,980,886,122,649,771,597,652,615,202,402,748,029,350,659,808,989,493,
714,199,192,438,856,593,995,645,264,976,634,762,410,848,159,391,442,566,690,
035,552,060,216,069,850,872,489,364,318,990,804,669,958,567,662,907,461,727,
101,941,669,388,893,237,332,829,362,012,380,790,475,199,784,226,047,940,614,
783,581,900,156,163,273,983,262,030,657,916,332,819,940,670,163,227,915,105,
642,144,140,108,845,660,329,104,081,909,328,579,454,964,721,578,759,813,328,
988,878,364,615,603,247,267,261,492,914,990,988,012,452,907,524,881,314,041,
782,660,438,773,855,095,972,104,020,424,582,088,666,243,912,741,152,043,139,
568,990,006,874,416,524,484,529,014,456,106,747,246,798,414,324,586,861,028,
885,182,118,848,528,517,632,794,505,031,084,861,866,196,618,573,512,084,531,
665,132,010,250,532,311,558,179,166,181,894,364,589,608,935,528,853,384,047,
720,277,231,544,781,385,244,637,937,428,649,860,501,480,979,890,379,617,430,
051,641,197,332,668,104,449,378,882,535,169,537,937,242,860,715,536,343,463,
942,753,127,806,834,158,218,561,900,188,003,235,678,139,320,780,980,269,900,
219,104,074,269,652,276,235,969,045,740,807,081,901,082,489,950,403,310,572,
576,988,812,388,679,263,437,214,509,021,131,273,667,550,283,825,528,193,440,
203,710,622,244,156,947,856,690,105,775,288,661,637,830,143,662,263,544,851,
173,460,568,924,951,122,778,648,722,796,185,037,611,143,245,852,685,397,699,
432,430,313,377,933,824,975,576,057,741,521,475,306,166,322,489,773,588,942,
486,640,045,279,862,369,307,215,650,661,852,389,958,066,506,171,460,313,419,
004,086,076,021,119,249,153,838,382,544,360,906,275,451,375,956,950,071,255,
728,098,329,920,910,872,696,701,071,494,122,118,098,283,531,856,172,251,851,
879,132,843,989,778,706,793,050,737,249,292,249,104,599,478,357,662,758,884,
336,926,676,288,705,330,116,260,032,857,707,793,101,294,437,382,025,057,588,
569,271,317,136,561,585,666,357,592,457,397,366,590,908,947,112,319,853,734,
047,952,626,906,482,708,287,301,570,259,363,904,566,284,601,579,628,038,017,
791,475,070,646,977,455,134,023,424,972,307,935,436,476,466,113,593,510,764,
543,054,329,601,735,494,589,255,495,253,850,409,434,006,879,773,777,130,778,
529,385,181,224,465,317,429,050,078,226,740,780,849,861,265,436,766,160,070,
832,193,098,586,306,528,441,224,359,085,251,889,528,603,881,611,925,816,098,
264,799,560,297,006,032,135,840,144,651,193,609,106,460,167,460,515,020,967,
519,095,001,509,224,206,626,744,920,657,944,200,750,090,834,587,642,573,365,
495,120,534,879,035,031,182,633,138,221,467,594,247,945,038,054,760,974,916,
018,739,382,581,825,384,243,100,005,983,071,128,040,576,251,148,653,109,108,
190,410,594,628,140,227,368,059,053,538,339,371,622,402,176,532,452,981,728,
746,884,920,680,120,305,388,224,291,294,707,991,685,261,017,901,816,324,888,
574,949,837,506,826,738,273,244,759,872,274,241,984,035,588,844,662,089,417,
526,063,152,504,471,918,875,112,285,574,070,034,285,522,181,451,726,412,018,
412,345,037,994,377,026,964,833,426,432,854,732,871,845,213,939,287,786,234,
773,023,107,699,164,387,214,768,601,180,847,676,782,783,593,297,843,194,246,
827,984,819,888,928,234,781,274,311,652,485,410,236,545,153,739,216,531,067,
504,860,226,845,808,518,976,101,339,350,585,127,726,587,901,727,331,263,349,
976,196,161,266,403,673,784,663,223,236,592,992,007,487,358,422,944,441,674,
768,189,834,248,678,991,286,270,192,708,311,862,175,715,447,712,804,462,697,
828,882,216,834,309,349,565,614,533,371,612,049,244,746,613,394,819,781,922,
757,736,960,045,177,284,556,440,454,819,987,240,961,035,635,416,559,644,259,
247,344,442,788,058,124,439,123,618,696,037,448,399,175,359,567,666,632,241,
303,782,003,424,777,123,550,208,902,878,587,460,051,693,740,344,232,104,174,
554,536,132,922,311,532,293,124,936,338,166,230,763,717,660,404,621,300,073,
789,798,686,684,096,635,669,503,633,325,013,294,950,857,966,738,141,401,448,
402,432,076,579,461,327,587,889,665,097,771,303,932,450,753,615,639,019,165,
489,526,935,005,533,629,030,809,342,137,744,343,552,787,398,839,295,740,631,
509,556,647,930,919,029,269,920,531,134,503,253,122,289,506,972,575,186,054,
228,652,725,467,543,026,994,535,919,445,784,967,495,978,551,653,490,819,016,
619,380,946,232,626,874,168,316,132,471,413,881,071,117,520,822,630,151,994,
763,706,585,425,556,687,266,913,887,651,494,741,157,626,189,979,885,437,073,
920,360,113,406,576,163,298,990,017,768,329,980,294,434,412,919,638,444,548,
420,730,544,384,056,670,796,473,563,824,295,533,629,173,291,863,251,937,720,
440,801,799,949,224,426,984,100,587,113,675,444,901,394,248,304,757,803,165,
311,783,826,751,610,460,710,059,220,119,202,746,918,101,299,336,906,699,330,
549,261,744,059,766,751,256,921,846,687,081,636,607,976,815,320,335,123,296,
155,025,909,793,686,034,432,008,025,481,940,634,486,909,272,192,105,069,631,
982,654,308,550,317,975,111,857,627,633,799,454,957,456,078,371,748,640,444,
760,968,575,589,478,834,206,520,421,165,198,720,837,115,557,567,150,755,963,
740,963,796,520,194,368,126,069,722,525,178,868,334,422,326,338,475,518,434,
747,682,820,639,990,694,849,844,065,668,084,689,335,179,332,237,390,225,167,
709,505,088,091,227,922,821,630,125,561,861,973,705,968,674,716,828,292,336,
692,836,503,540,791,609,756,338,433,121,248,558,778,861,166,818,898,519,541,
921,083,121,348,704,971,792,899,050,848,743,711,413,829,753,332,423,209,183,
070,818,727,402,723,790,831,221,895,595,051,153,439,062,919,814,936,783,486,
637,737,585,863,308,720,759,747,870,567,715,733,822,920,679,635,023,245,313,
717,178,659,369,108,754,138,315,522,188,095,266,359,777,684,988,422,217,042,
425,033,634,222,080,846,931,579,355,077,430,193,460,630,312,707,155,007,918,
233,612,093,643,414,603,420,085,124,062,107,969,703,991,375,147,240,913,021,
089,743,267,934,584,084,661,033,124,315,750,793,888,438,784,704,443,750,982,
436,824,447,756,401,307,476,232,476,188,158,252,076,556,790,051,217,586,616,
611,531,685,243,927,901,461,220,585,905,444,694,393,886,364,968,146,931,055,
520,655,840,242,102,274,386,907,429,933,794,025,960,095,216,725,892,619,191,
043,847,295,267,497,781,587,323,596,960,708,349,263,286,335,140,666,643,460,
374,243,921,322,221,196,162,607,698,480,070,694,078,941,998,326,683,337,168,
126,205,053,627,426,960,012,355,840,997,975,417,287,917,721,155,408,184,418,
775,967,747,002,094,940,689,979,803,555,786,919,850,531,733,293,997,396,050,
687,438,135,906,033,399,060,949,674,099,674,985,640,999,464,977,036,110,785,
460,624,330,944,017,799,822,994,733,990,941,170,320,157,878,201,436,201,297,
837,430,699,180,691,088,756,471,645,956,655,188,134,930,832,581,862,985,132,
751,942,201,954,832,776,575,436,541,221,005,737,790,324,235,383,852,811,527,
375,259,592,321,157,472,777,011,060,811,983,595,241,772,007,298,116,591,121,
500,182,431,467,152,255,994,080,056,068,862,118,134,965,000,941,986,423,337,
846,259,482,632,927,165,454,469,160,732,074,806,871,861,165,604,557,907,594,
567,945,591,322,898,960,064,129,548,522,522,714,803,072,376,635,542,699,819,
467,782,990,670,902,110,414,826,486,887,735,228,076,814,194,158,439,496,180,
655,168,670,850,892,917,373,374,556,271,524,745,227,432,242,896,066,468,763,
245,436,249,989,182,309,872,996,348,571,760,029,171,722,409,807,170,938,422,
137,482,014,012,322,002,299,459,793,555,116,315,778,874,377,114,174,429,386,
020,154,922,275,287,105,390,126,951,668,331,890,829,358,940,168,917,839,020,
903,113,892,549,396,169,236,329,130,478,726,304,814,156,356,359,518,514,766,
518,138,380,684,729,106,819,594,701,556,781,356,718,353,643,244,152,625,678,
143,817,789,492,363,720,649,828,220,367,471,059,367,343,514,776,594,110,306,
892,709,103,734,776,999,384,183,399,482,985,948,025,723,897,216,851,354,115,
176,213,343,535,348,161,908,064,880,020,644,888,340,965,333,980,644,856,515,
417,236,260,135,136,787,259,737,160,641,676,017,089,388,564,175,516,665,439,
171,450,041,466,900,580,538,107,531,181,022,796,339,529,540,471,925,983,670,
488,474,953,628,934,866,562,822,047,303,703,461,463,745,661,350,635,914,254,
292,290,555,405,521,303,427,848,388,447,237,471,580,736,335,534,799,915,816,
083,210,734,445,794,700,882,540,908,709,948,011,821,706,515,072,868,087,897,
486,581,911,394,242,860,108,932,288,617,597,325,938,540,104,854,997,500,380,
967,409,118,184,594,726,991,794,685,284,124,731,712,668,295,075,690,860,745,
289,971,397,710,907,738,541,311,010,661,068,850,728,794,406,778,606,370,755,
060,827,151,053,605,245,255,777,219,275,669,604,694,670,771,985,879,179,695,
346,891,075,004,381,503,840,756,345,043,314,579,607,372,181,870,627,310,931,
058,435,053,319,441,452,630,524,621,906,901,151,911,362,624,288,522,542,720,
027,075,308,147,769,491,790,906,660,320,430,616,791,186,236,182,761,902,827,
904,049,531,110,845,940,376,719,034,633,353,381,058,181,068,362,971,636,654,
156,479,755,734,152,437,044,506,722,404,481,716,320,000,561,573,100,351,558,
536,064,556,092,967,047,082,611,258,331,003,255,045,198,580,204,111,676,269,
067,553,701,241,311,552,597,427,674,528,785,078,742,856,974,319,908,424,057,
603,528,836,955,066,190,297,550,641,131,653,454,981,115,725,394,218,710,513,
511,563,090,202,474,165,861,747,543,139,187,289,511,446,160,018,998,332,691,
011,088,829,231,262,975,655,653,104,572,002,526,917,329,330,232,006,584,869,
944,306,381,132,419,858,842,124,987,915,624,875,912,839,613,008,615,969,664,
693,520,960,158,199,346,565,457,229,924,017,909,246,740,141,847,346,046,043,
675,395,656,814,898,464,814,530,460,039,340,922,502,089,743,963,517,834,612,
069,858,252,462,757,492,583,532,956,205,819,328,485,751,006,726,488,916,232,
388,962,694,171,576,997,970,038,797,008,271,198,389,737,315,771,794,936,885,
110,253,008,714,339,481,224,260,515,514,997,539,781,428,761,589,103,104,322,
795,241,959,645,587,834,361,970,101,292,970,746,887,950,290,087,458,952,138,
081,520,651,740,586,290,599,423,418,915,495,662,118,462,907,861,325,936,950,
108,689,363,343,203,147,422,231,264,319,275,189,026,883,297,255,663,004,039,
004,765,177,209,714,755,514,832,687,156,370,566,945,069,861,135,025,785,256,
516,469,806,605,721,026,473,363,275,112,712,836,792,828,838,854,129,719,853,
736,084,579,473,777,992,438,138,690,042,043,269,814,215,939,677,430,354,713,
331,983,805,596,808,285,736,456,168,766,301,843,796,036,332,404,152,180,297,
305,989,587,984,112,345,966,236,417,291,878,127,636,489,359,749,822,344,989,
832,555,618,644,748,361,618,763,276,957,535,769,659,570,272,120,951,511,885,
297,495,331,276,456,722,173,513,633,417,763,177,996,444,903,486,536,131,284,
073,698,732,093,989,840,780,966,500,984,994,181,511,110,850,272,310,017,167,
455,771,620,798,047,740,219,882,855,488,923,258,875,928,650,811,211,444,664,
585,092,052,716,606,170,325,794,953,070,931,872,404,548,448,926,664,666,193,
885,960,420,694,599,529,852,345,644,707,977,026,145,681,972,622,419,695,617,
314,210,957,091,420,447,405,174,778,889,966,152,789,637,980,637,023,155,753,
437,248,486,440,988,901,333,896,642,191,339,292,999,500,166,677,445,563,192,
162,386,612,024,247,623,132,764,745,073,772,551,685,378,939,558,105,079,645,
970,280,726,476,750,291,374,942,319,652,839,796,840,495,896,607,836,654,503,
254,766,473,558,745,896,920,361,157,563,454,126,227,803,402,723,340,899,037,
876,959,174,917,740,179,602,051,848,993,121,208,185,623,889,550,349,870,182,
222,054,436,769,816,609,262,968,682,418,617,303,758,820,219,727,941,639,810,
452,413,279,742,342,311,705,052,965,207,235,403,664,061,864,218,912,146,930,
332,283,185,406,704,494,903,595,329,661,419,072,615,894,428,754,590,371,795,
253,393,161,122,447,246,122,486,569,222,738,804,716,553,430,511,062,176,514,
914,172,455,637,349,589,417,144,056,161,966,394,896,059,052,894,034,453,311,
375,679,140,556,356,061,066,477,599,149,848,669,903,801,456,216,957,072,492,
668,995,212,777,162,582,710,025,906,344,693,190,284,338,401,528,288,242,586,
471,823,956,202,106,638,789,465,910,720,071,911,284,366,088,743,148,559,097,
981,673,564,771,046,924,798,459,627,660,480,658,262,646,114,830,278,476,300,
691,555,889,566,224,528,295,215,571,517,684,281,982,447,926,753,165,664,451,
718,171,947,065,339,642,356,767,601,601,724,836,918,404,285,620,331,121,439,
500,411,882,471,969,782,761,636,204,010,932,445,719,703,764,855,428,704,130,
215,744,732,335,864,558,842,280,179,218,597,031,473,075,326,726,703,188,444,
219,022,751,383,030,788,061,164,341,649,689,419,777,619,584,561,532,507,537,
592,668,521,437,140,026,570,902,311,576,918,753,367,333,633,748,146,114,098,
907,680,138,882,585,155,439,439,570,231,391,085,611,660,359,622,275,305,696,
699,538,112,444,004,126,576,957,303,876,683,040,708,222,034,928,196,667,057,
476,277,460,885,684,676,951,375,715,486,490,222,942,001,379,346,690,658,063,
856,364,093,070,804,750,160,057,748,548,374,231,189,161,058,949,956,830,812,
188,697,604,483,478,668,845,919,493,336,764,232,828,136,655,004,386,454,294,
795,947,664,909,844,700,213,142,727,173,580,461,953,948,146,093,536,303,959,
696,310,517,752,105,646,755,281,115,826,291,588,787,821,783,956,344,041,862,
966,250,783,705,253,209,816,839,489,745,471,976,369,276,188,696,000,964,781,
978,482,283,341,342,311,262,896,021,387,881,068,240,771,588,892,270,201,467,
053,037,234,542,728,667,684,105,337,094,357,579,672,431,894,230,820,127,414,
009,869,403,372,045,335,438,761,304,699,745,885,827,734,901,353,303,867,624,
422,355,275,072,360,558,309,333,397,536,243,886,933,967,444,676,000,478,763,
515,631,680,548,925,371,367,312,228,599,112,280,615,174,142,688,756,363,543,
436,301,890,068,022,305,880,894,553,263,314,370,715,285,290,712,093,458,192,
641,019,293,047,722,419,339,687,923,091,971,122,889,347,240,202,045,426,554,
665,472,086,019,039,446,205,390,510,713,045,084,536,770,499,269,467,482,342,
849,680,797,507,011,830,084,375,931,589,463,940,560,469,521,745,153,268,769,
923,296,069,794,551,053,596,800,317,654,389,185,542,296,298,881,001,251,933,
783,059,804,437,741,195,332,891,344,013,809,859,816,926,621,838,982,518,435,
385,460,813,574,814,666,468,041,911,996,389,765,037,549,499,198,303,681,641,
443,245,951,692,350,611,837,487,279,856,717,518,044,319,481,209,720,005,729,
822,243,018,218,710,870,385,518,865,022,127,520,612,217,986,697,511,385,047,
492,819,483,246,598,083,820,205,539,116,424,233,426,936,088,752,703,587,525,
276,159,288,526,068,484,279,662,675,018,248,685,110,838,245,402,736,004,623,
038,208,249,374,601,412,683,544,520,420,724,507,902,515,356,909,216,313,631,
475,743,202,980,105,847,117,796,214,957,864,066,502,898,600,707,278,464,428,
176,183,122,558,784,888,789,872,781,114,304,872,398,561,937,665,743,023,689,
426,561,954,757,915,029,923,865,687,307,143,279,958,580,922,425,613,872,601,
438,289,877,009,090,838,465,916,984,590,690,554,377,148,018,198,254,140,932,
337,926,779,328,575,518,382,588,718,559,447,960,206,814,001,781,641,572,765,
739,735,408,933,996,689,919,006,323,335,227,297,946,346,492,487,721,058,436,
426,572,993,547,680,331,215,215,743,408,307,958,528,628,020,285,476,608,455,
254,697,733,931,678,152,586,058,600,678,920,090,809,628,498,259,787,735,037,
485,134,512,136,745,073,534,676,264,237,488,931,306,986,182,729,545,350,405,
869,528,919,775,583,683,235,888,399,963,595,092,639,359,051,207,356,920,282,
934,994,356,170,201,037,362,850,758,910,335,511,885,165,177,671,894,324,375,
454,992,091,586,732,640,091,709,738,229,815,348,948,472,316,993,221,604,082,
592,843,888,632,825,065,514,918,354,143,026,634,767,710,315,242,240,329,367,
894,221,639,934,480,805,503,615,719,241,182,745,474,993,129,132,183,060,770,
062,760,708,630,468,672,139,509,018,288,536,355,567,431,120,397,353,219,181,
120,709,095,799,725,290,816,486,317,412,616,541,764,775,034,206,329,733,906,
175,186,337,830,487,717,603,395,004,294,181,459,356,591,106,996,039,192,842,
407,348,725,647,680,262,385,961,308,986,710,494,106,832,252,960,781,008,211,
531,724,140,611,931,000,175,332,966,230,420,046,244,082,247,660,218,531,550,
672,220,881,116,478,317,681,865,568,079,388,272,111,139,581,594,029,248,022,
751,562,313,188,600,501,822,205,115,851,728,895,568,828,287,877,886,661,282,
780,296,827,918,878,763,473,168,652,452,982,192,121,108,694,639,860,131,975,
035,251,495,426,161,486,329,661,845,397,223,406,297,484,900,234,175,070,205,
486,831,647,900,918,145,343,512,933,473,095,233,372,431,774,304,033,888,585,
613,201,463,834,817,352,591,092,896,036,901,443,950,996,891,238,717,073,956,
419,864,888,451,306,489,709,805,685,021,877,073,402,145,218,385,897,553,997,
190,472,976,941,334,840,357,692,382,138,700,562,074,779,914,624,006,328,068,
280,317,239,504,973,273,133,635,704,875,234,633,558,541,781,129,472,760,654,
953,258,563,103,543,049,464,076,104,054,311,102,958,753,971,597,290,362,024,
117,082,844,268,432,826,173,105,900,390,874,354,934,190,934,003,190,577,567,
395,476,744,194,065,668,535,070,288,606,076,644,853,357,923,629,125,351,797,
002,105,046,740,972,916,766,921,319,351,677,292,892,328,661,676,444,192,372,
149,997,250,831,298,165,183,095,018,607,865,452,549,931,809,527,749,701,174,
732,803,517,977,128,812,685,572,123,414,520,445,110,184,792,937,809,083,853,
873,124,389,270,907,099,185,406,008,883,277,204,282,665,566,184,861,871,960,
034,802,364,288,562,026,115,589,742,614,510,795,913,560,730,882,556,141,060,
982,378,515,965,788,017,553,668,244,037,775,073,103,298,566,938,323,551,692,
487,902,473,801,282,157,116,764,821,350,515,877,028,342,898,140,175,917,018,
997,421,977,918,355,540,894,658,936,208,289,345,845,161,147,299,161,275,699,
954,106,466,477,603,215,384,558,289,314,333,138,749,265,453,076,015,696,057,
277,450,781,577,102,952,384,875,114,453,370,362,018,034,991,682,518,731,370,
022,803,595,823,601,462,123,175,850,743,377,690,091,566,101,100,886,155,464,
276,378,772,872,542,846,660,390,516,304,032,777,835,655,112,259,749,615,415,
233,993,750,384,051,127,549,910,144,707,438,356,476,756,298,919,907,305,947,
397,095,297,816,073,691,955,727,132,966,642,186,061,034,602,562,232,308,160,
562,575,205,247,982,176,906,101,166,833,678,487,078,121,969,458,077,596,421,
414,789,829,804,630,576,124,747,485,265,346,502,606,014,191,380,779,780,453,
811,985,518,900,803,667,626,732,137,355,489,346,018,744,275,154,391,716,665,
765,334,060,885,163,224,045,696,344,053,369,636,499,395,134,844,656,000,864,
415,008,816,435,288,986,875,556,550,568,735,994,750,594,441,979,720,992,718,
673,782,203,724,080,818,091,610,459,677,159,998,683,193,616,104,384,137,533,
675,890,193,934,157,596,072,360,813,895,306,238,274,016,200,618,932,976,990,
511,316,680,523,586,433,620,676,130,865,085,620,936,457,218,768,053,786,483,
066,564,649,595,276,861,367,470,965,060,135,457,387,999,341,585,635,364,518,
636,525,357,908,416,225,966,058,400,610,478,353,230,419,154,037,375,384,980,
836,671,970,981,817,856,799,989,246,879,303,918,494,915,106,921,917,475,170,
034,095,260,639,901,183,738,839,222,326,486,975,632,698,731,070,207,186,619,
277,129,276,399,635,406,621,421,608,600,506,779,033,730,385,342,585,587,984,
853,014,509,385,527,336,606,252,737,790,050,670,069,585,817,917,856,255,341,
313,951,637,538,022,667,237,374,298,776,153,637,729,840,958,852,864,272,742,
895,986,728,773,886,242,104,910,442,132,824,695,372,855,438,216,300,302,385,
739,380,415,009,574,548,906,274,801,335,711,242,241,353,259,034,193,603,832,
274,479,760,010,053,759,075,735,117,183,351,164,179,287,582,298,803,978,415,
022,688,481,838,210,159,110,845,704,151,899,173,917,760,260,437,998,036,372,
777,918,811,649,338,367,817,920,316,611,637,490,122,194,171,535,662,855,857,
027,015,836,688,975,733,381,100,572,827,122,790,657,189,364,204,413,992,671,
728,043,886,274,980,734,694,944,130,416,048,723,260,317,100,546,468,752,258,
242,199,374,933,539,327,409,331,716,107,969,184,851,275,119,916,905,648,213,
906,133,586,969,324,649,680,984,800,053,464,187,822,076,426,907,448,322,711,
334,254,294,390,830,106,425,268,483,228,550,034,027,409,604,644,925,522,805,
480,753,661,594,555,780,307,334,783,366,320,621,532,314,523,164,664,926,599,
138,409,097,234,447,131,250,562,601,607,983,854,617,720,110,424,906,361,499,
247,602,358,473,343,008,695,117,666,131,720,032,761,277,670,726,113,883,974,
697,142,283,691,605,144,169,861,947,588,807,285,304,931,936,260,959,519,248,
464,892,750,528,514,210,956,747,180,896,916,873,701,940,260,028,217,837,315,
002,044,303,469,476,096,597,913,831,351,483,224,549,592,837,473,449,026,972,
374,161,377,038,261,077,676,930,516,038,425,141,114,244,400,236,100,393,509,
610,801,237,341,963,487,075,861,116,450,714,600,296,405,746,257,701,455,809,
964,143,560,555,834,356,851,594,893,082,472,039,548,449,039,314,689,920,456,
776,526,034,097,762,637,802,340,149,516,741,724,918,532,686,831,651,123,545,
497,389,943,973,319,235,663,097,728,172,143,249,086,562,609,386,826,069,489,
107,108,273,500,712,453,616,115,357,946,052,319,215,345,414,005,281,122,313,
464,040,731,317,984,576,292,019,716,817,681,987,363,719,203,319,045,026,913,
631,583,261,219,631,368,597,019,974,281,554,210,588,208,990,915,959,355,341,
782,860,924,932,200,118,996,790,055,277,186,886,450,833,795,311,862,978,099,
977,237,706,344,124,815,101,975,687,719,027,846,175,852,066,860,340,149,538,
984,299,891,246,144,606,758,159,922,000,161,550,826,469,852,905,378,979,902,
287,563,698,881,584,799,403,251,501,510,200,817,855,634,950,424,801,425,929,
415,085,679,919,963,931,553,285,302,023,932,668,197,620,900,521,039,036,501,
084,481,233,233,676,225,248,977,755,036,549,290,753,122,336,162,294,591,119,
299,859,362,022,726,791,004,229,604,038,234,790,329,578,366,402,559,778,011,
732,774,298,636,373,765,985,610,310,237,662,318,865,819,803,964,952,682,139,
402,516,023,625,061,280,159,919,032,482,191,966,147,157,153,915,087,330,926,
524,294,296,839,246,615,498,203,970,439,867,822,133,659,189,267,760,622,825,
253,063,070,515,777,103,729,770,780,066,993,157,687,363,516,491,939,269,087,
016,583,168,807,218,309,092,281,705,790,189,963,309,285,804,880,244,975,330,
600,616,323,701,877,587,430,683,079,869,867,294,382,698,544,350,276,305,175,
505,601,927,278,074,879,620,443,160,533,779,724,226,233,027,868,080,521,072,
386,575,101,309,646,826,138,277,761,331,252,855,010,161,448,586,774,549,485,
834,520,443,864,098,125,212,309,659,393,352,693,737,541,604,737,490,815,056,
675,865,939,521,752,243,273,546,684,603,430,080,335,855,233,846,476,897,585,
621,088,491,974,475,404,013,320,844,829,966,477,068,823,435,422,050,296,813,
807,032,323,656,101,352,311,498,629,905,511,886,219,921,732,608,083,589,729,
868,142,466,687,740,782,984,469,247,648,256,618,348,231,555,979,589,134,769,
530,715,228,001,581,610,628,902,675,899,552,289,026,965,815,248,698,889,475,
745,245,884,958,618,332,139,235,672,787,009,460,475,156,833,957,626,753,607,
716,075,258,373,410,202,388,189,493,003,413,096,501,420,927,018,377,630,191,
462,651,548,888,564,944,028,480,419,615,707,466,231,194,294,818,372,682,015,
993,132,504,696,672,148,788,075,059,047,479,557,430,918,009,696,930,061,531,
824,269,177,307,354,237,034,946,761,361,390,657,556,964,785,807,517,536,611,
293,221,021,565,410,659,793,754,268,136,694,954,751,332,753,445,152,411,482,
805,578,752,506,815,853,240,012,114,309,228,241,918,655,548,642,056,138,972,
635,769,362,432,727,567,700,068,907,962,122,746,964,184,394,065,469,110,376,
045,843,997,827,801,975,269,312,363,418,711,674,833,279,891,994,441,036,122,
656,815,900,801,098,839,735,706,881,294,115,366,625,723,513,683,380,561,405,
544,693,959,176,465,176,200,258,326,554,805,400,604,626,714,344,899,753,597,
672,467,829,312,494,981,307,668,426,496,975,711,261,269,285,271,701,751,313,
465,772,805,358,919,362,694,431,040,545,188,432,796,666,908,667,831,752,576,
602,466,170,097,965,118,724,730,853,387,381,416,799,359,503,728,635,603,571,
869,817,326,810,910,991,372,165,775,338,225,365,098,819,491,853,458,313,587,
572,903,438,604,006,608,635,884,470,954,082,886,058,180,646,633,173,710,482,
700,301,254,400,625,733,225,029,498,796,099,384,767,823,895,298,528,134,533,
876,976,733,129,332,815,795,717,246,537,219,576,387,028,288,464,659,751,064,
242,442,382,042,057,832,809,155,501,058,162,174,693,470,808,761,882,449,278,
195,005,051,127,683,091,847,418,700,178,829,308,139,719,025,870,608,700,507,
854,170,984,198,647,918,054,042,502,371,022,775,103,588,796,211,689,612,971,
433,142,708,433,730,655,854,005,256,222,662,374,862,347,880,198,791,775,908,
803,258,700,161,654,074,856,816,674,666,051,007,626,209,721,327,422,399,568,
140,255,282,808,661,938,318,432,511,753,755,815,206,814,411,766,713,337,414,
565,439,822,219,283,235,511,568,199,773,598,291,514,825,212,252,923,476,196,
409,542,199,167,468,039,962,063,005,584,209,020,750,850,389,215,223,391,274,
031,548,262,245,247,591,524,737,851,918,867,452,970,460,597,808,357,257,407,
591,490,902,155,346,502,430,142,416,462,110,293,982,303,607,325,325,064,114,
280,703,833,056,915,121,649,470,443,658,455,823,342,407,849,550,481,697,803,
786,650,480,203,503,866,328,569,040,845,272,330,174,583,799,162,223,866,794,
696,350,211,924,566,775,556,329,458,914,494,757,883,303,902,472,072,490,723,
897,307,512,940,541,213,366,129,512,843,692,282,011,850,656,796,627,763,827,
139,898,344,377,564,676,372,601,044,560,905,321,451,171,775,508,697,802,378,
455,180,482,765,957,583,904,128,421,849,345,917,693,541,179,556,200,560,439,
663,681,675,944,318,732,538,677,912,679,571,411,218,291,330,448,686,717,410,
317,615,645,964,303,336,292,624,088,322,172,067,960,531,096,606,095,980,984,
386,293,697,201,601,190,919,541,804,229,564,844,601,976,003,542,813,451,839,
649,125,932,937,750,002,948,394,289,634,031,886,275,900,081,191,462,386,619,
245,891,457,129,932,637,804,263,668,680,115,090,819,629,525,527,781,747,485,
297,777,627,728,287,942,441,621,959,090,076,860,395,848,824,192,997,614,711,
668,253,154,870,399,307,338,100,525,013,853,408,854,423,635,075,389,939,489,
546,588,806,558,763,320,001,950,392,561,657,132,865,640,099,034,354,288,765,
623,516,352,153,911,359,242,824,170,581,153,503,398,800,637,709,132,629,226,
793,111,875,936,931,336,451,306,607,114,899,016,743,163,410,596,322,754,544,
001,537,379,407,273,241,813,952,906,671,657,124,372,930,306,503,983,154,247,
398,963,738,122,669,901,679,939,717,336,720,572,081,249,320,685,263,770,800,
028,043,304,599,543,781,913,648,111,717,855,883,081,607,725,369,762,565,103,
156,515,217,031,978,871,495,399,105,241,918,464,646,393,361,638,901,382,034,
830,273,783,325,895,661,547,451,042,761,688,161,610,799,724,435,079,605,584,
834,153,597,414,689,419,614,183,494,052,613,418,107,090,631,437,092,649,381,
074,526,353,471,429,602,199,418,719,397,967,404,981,607,698,743,937,740,293,
079,543,685,588,914,129,039,107,800,876,002,923,342,125,867,417,037,921,332,
237,868,810,587,644,137,000,982,203,507,604,624,964,092,670,791,081,483,370,
026,711,064,523,440,362,621,911,822,675,634,886,575,974,355,568,987,317,604,
666,279,174,828,784,861,686,389,273,109,203,519,074,143,727,072,758,517,435,
802,336,941,495,039,045,395,101,844,973,768,663,076,123,310,232,582,260,338,
760,961,976,222,257,036,760,564,985,942,523,684,934,788,708,964,470,662,056,
458,822,485,802,966,649,364,106,756,650,227,798,183,071,856,642,500,680,215,
839,701,430,859,236,613,459,029,226,709,701,930,499,749,294,718,204,175,463,
958,035,704,272,884,450,902,357,732,257,255,897,791,204,958,566,873,474,621,
061,579,187,032,998,289,183,906,952,110,041,496,106,605,110,271,270,001,141,
430,695,554,964,529,348,276,663,217,663,178,716,885,099,504,689,108,046,970,
195,784,994,290,970,781,876,871,549,472,005,441,231,663,116,030,582,130,183,
859,046,035,978,300,237,405,890,366,067,727,947,321,097,838,726,323,687,601,
721,307,156,648,059,643,572,504,524,609,860,062,397,313,093,252,805,821,829,
076,545,756,854,978,537,940,697,620,547,444,669,099,143,615,469,850,654,575,
202,648,883,483,254,370,927,560,024,587,947,239,573,614,649,311,867,685,798,
388,929,742,718,507,268,023,044,067,697,829,047,942,329,585,047,497,650,903,
070,782,691,826,529,460,390,397,731,470,563,245,857,608,058,048,262,065,998,
051,045,200,820,437,137,742,751,213,492,808,823,914,274,406,947,479,166,166,
586,885,880,920,107,544,467,597,124,715,735,240,821,620,744,825,144,051,259,
349,159,950,901,502,289,249,238,703,730,847,857,835,779,605,648,483,811,325,
268,518,319,288,791,801,450,506,100,843,124,257,177,871,895,858,580,024,235,
598,898,773,781,604,958,587,999,230,708,493,983,546,176,499,205,852,985,143,
898,279,330,862,127,914,245,564,351,047,643,405,930,761,462,032,778,421,119,
849,199,642,339,256,703,032,261,288,438,665,191,962,378,897,902,523,596,516,
580,851,924,125,977,452,132,525,128,674,940,821,878,535,577,969,742,189,544,
608,324,751,519,296,133,872,146,151,112,851,901,177,928,501,313,722,454,185,
153,427,859,458,907,746,453,321,936,932,539,777,791,017,417,942,656,640,429,
794,034,244,551,923,507,646,183,308,947,290,788,908,552,224,976,480,178,820,
122,890,372,075,345,982,558,638,977,524,452,378,826,557,993,820,412,587,337,
623,295,197,537,165,352,177,992,369,333,693,621,040,542,774,549,894,878,647,
123,382,614,081,686,139,608,532,565,963,230,566,360,455,452,026,730,787,244,
548,163,376,060,873,498,767,305,682,222,538,941,158,764,342,715,706,519,107,
508,306,206,625,993,380,095,654,777,722,850,565,359,463,209,647,490,081,292,
464,108,372,653,890,351,328,452,420,111,453,385,922,887,934,737,082,828,848,
554,962,237,650,728,323,812,452,680,280,907,257,159,250,240,268,607,705,523,
500,171,184,925,845,317,588,043,902,266,422,089,605,074,605,783,280,249,178,
687,234,691,190,890,775,236,062,463,955,652,649,821,940,089,048,233,699,282,
586,468,945,651,548,645,157,377,884,641,326,170,728,037,528,410,568,437,948,
869,230,374,639,515,220,441,541,911,510,860,782,977,792,438,139,102,155,196,
295,511,048,368,912,299,436,795,822,603,502,326,840,231,854,924,752,474,006,
140,933,976,417,667,012,934,822,669,201,109,233,420,956,357,721,877,740,343,
947,946,032,835,383,476,021,835,084,689,391,717,514,687,834,361,774,542,785,
105,476,349,598,722,221,465,578,654,819,948,439,441,097,362,273,951,176,201,
998,178,032,051,307,164,603,611,945,502,060,780,338,022,673,924,424,453,240,
536,671,659,432,815,994,311,963,943,129,930,427,683,663,821,593,255,966,501,
369,348,769,563,606,676,139,639,740,445,029,454,968,201,763,870,938,908,960,
788,304,390,635,810,969,937,304,334,765,601,115,855,399,270,653,570,704,938,
558,603,053,534,606,098,341,951,415,407,791,564,809,046,216,146,232,510,700,
603,491,625,826,310,595,308,241,857,192,471,823,702,772,123,068,202,687,843,
544,532,753,424,877,819,786,870,561,519,035,143,343,035,702,840,192,303,206,
643,450,164,078,354,509,039,660,998,786,859,514,360,730,581,754,256,108,040,
522,607,450,354,843,151,612,722,671,416,260,644,110,559,210,619,255,694,989,
651,851,809,996,246,806,462,849,456,276,262,210,179,398,616,800,173,650,824,
238,000,015,235,247,660,201,965,319,419,067,307,796,197,815,839,395,222,494,
851,701,179,729,805,722,266,773,777,786,575,661,076,069,811,580,186,146,044,
131,798,500,889,572,038,637,536,792,898,080,878,060,723,918,834,751,318,233,
120,014,069,218,782,416,407,131,205,776,564,342,997,325,060,629,713,035,914,
993,868,962,316,843,116,172,260,513,368,490,707,527,570,034,947,320,055,575,
944,418,225,860,548,508,681,020,344,858,751,367,531,662,653,248,780,471,312,
268,666,708,011,944,893,041,089,676,206,546,387,839,501,329,008,759,835,445,
459,924,607,572,464,060,811,880,007,011,382,144,330,089,578,122,193,729,609,
545,130,185,780,484,298,240,208,585,172,618,982,390,195,081,238,682,829,986,
673,414,726,568,453,469,504,521,300,322,217,465,285,381,147,591,818,058,973,
139,737,305,383,863,906,648,822,069,882,124,096,908,090,836,780,645,405,728,
912,277,499,222,719,592,764,297,580,491,006,907,944,749,071,988,285,307,959,
004,023,996,110,243,019,318,210,298,857,229,767,022,965,853,153,546,879,342,
954,279,287,067,648,666,856,177,718,013,528,569,207,255,797,701,835,031,710,
132,712,935,971,831,697,340,988,277,091,893,553,665,321,747,112,675,933,227,
843,834,171,889,783,400,776,687,590,488,382,050,201,535,005,335,505,151,940,
416,600,982,601,597,838,191,923,727,274,155,684,922,377,269,929,156,507,700,
142,433,756,948,215,230,706,478,275,936,739,199,717,897,937,126,254,893,339,
954,882,557,030,701,851,680,985,202,200,172,955,316,328,008,822,403,110,566,
557,690,978,519,463,948,599,028,582,936,790,668,319,110,911,390,414,529,652,
004,887,137,652,561,477,311,980,445,672,041,718,831,749,474,640,695,306,863,
044,272,506,936,775,002,532,452,159,937,825,271,410,495,699,113,473,690,482,
011,760,652,936,450,854,125,278,577,077,733,295,733,983,919,061,319,897,327,
536,292,637,961,848,043,135,383,932,516,798,818,735,732,151,348,523,355,693,
261,772,215,775,736,793,840,819,561,720,879,151,468,379,926,928,053,495,409,
704,391,021,237,158,881,774,317,735,661,209,504,543,939,895,936,741,197,983,
148,733,265,147,348,300,503,178,228,195,722,669,640,102,598,443,822,289,126,
367,702,001,075,514,977,480,753,551,897,392,957,415,830,556,485,801,492,906,
341,415,214,306,263,511,213,927,163,512,699,512,491,610,968,958,530,365,234,
633,510,818,004,173,551,496,962,562,393,190,134,267,720,241,016,825,646,238,
872,213,350,884,017,463,016,347,824,073,761,531,585,098,610,810,855,196,576,
249,362,414,613,185,285,161,396,770,925,777,804,880,304,847,528,762,925,426,
064,962,677,793,367,887,759,750,103,042,656,868,055,843,725,624,187,067,789,
346,965,317,881,444,247,302,389,306,531,331,232,121,038,596,111,076,531,406,
249,982,650,067,314,447,933,326,824,713,683,908,302,272,806,606,303,830,457,
883,336,807,306,965,162,419,388,738,517,978,130,081,686,248,789,357,431,033,
508,441,786,949,751,354,301,147,749,216,253,288,412,786,769,539,315,842,893,
281,158,486,981,595,592,114,410,475,786,311,054,414,670,004,713,828,057,367,
544,532,852,721,199,701,385,841,357,050,745,679,252,597,956,145,140,277,569,
925,228,833,704,916,873,132,702,577,977,101,215,313,896,657,069,555,637,762,
905,498,240,159,365,785,369,011,226,348,854,786,534,276,662,392,869,965,666,
608,535,263,632,227,302,202,375,276,689,940,805,525,022,069,871,438,443,689,
149,628,085,375,462,763,410,457,378,680,273,586,777,393,424,680,401,855,839,
129,601,403,518,981,207,561,313,868,707,289,198,313,502,039,217,388,989,589,
095,510,600,391,110,036,931,015,872,583,745,516,387,514,294,826,598,497,580,
407,685,461,332,320,304,889,985,120,380,331,031,184,970,704,420,926,963,286,
614,786,257,184,952,659,330,110,066,154,333,684,557,870,052,234,099,417,387,
899,590,456,049,857,187,002,722,454,901,982,375,777,183,434,022,843,937,613,
975,184,878,025,096,989,740,574,609,984,444,847,849,974,195,281,149,976,168,
013,730,366,072,388,845,109,637,595,153,234,381,750,847,609,788,419,961,527,
753,608,744,860,045,593,530,625,293,500,084,059,098,015,689,029,466,072,766,
570,796,217,683,734,836,537,430,907,183,559,230,601,866,832,548,593,991,416,
583,904,347,306,062,198,020,803,382,933,151,875,903,939,192,652,196,433,946,
316,213,724,057,432,168,061,203,970,566,778,263,363,024,652,821,775,877,025,
407,631,731,787,987,424,167,222,076,249,488,168,018,938,065,151,625,366,508,
482,285,241,691,703,902,728,192,477,142,196,160,472,036,047,377,641,862,720,
460,339,388,873,703,173,254,138,553,811,773,545,280,717,308,562,808,495,855,
634,481,079,312,687,607,808,555,718,634,581,985,733,421,562,028,777,716,512,
617,497,811,377,181,236,322,566,482,369,494,890,971,982,085,764,388,899,116,
599,625,695,056,346,734,234,164,391,864,802,820,524,480,113,222,713,706,127,
136,407,900,398,380,904,452,139,825,735,137,949,923,901,046,315,819,765,453,
438,743,030,120,136,109,723,461,210,090,820,737,919,325,567,765,535,693,965,
610,089,432,365,848,425,024,234,087,585,019,149,326,688,395,776,916,893,060,
007,210,218,594,697,061,893,450,022,766,136,894,176,113,845,442,385,607,054,
323,418,292,786,870,857,522,289,091,325,405,272,302,841,497,439,878,813,591,
155,189,661,390,138,596,687,052,126,023,132,569,281,432,420,636,452,092,990,
560,279,950,821,609,500,993,070,397,123,644,958,146,117,347,514,818,722,621,
691,549,672,033,777,488,012,334,364,733,938,576,849,134,579,801,984,805,900,
659,900,935,690,601,881,815,744,944,773,759,073,240,917,725,978,296,806,134,
552,500,114,378,633,223,351,068,256,472,607,807,462,928,061,590,829,061,242,
736,939,406,295,059,037,936,362,371,006,811,625,304,309,509,515,327,785,226,
012,091,794,554,598,058,991,689,135,364,778,802,831,646,731,464,263,341,191,
555,730,087,078,745,177,799,448,149,371,269,039,828,619,732,105,321,846,354,
874,779,941,365,662,113,725,934,715,931,641,844,239,276,414,510,911,238,856,
068,166,670,480,997,890,551,782,289,714,387,053,151,329,551,098,657,005,591,
210,214,653,694,944,762,965,507,411,882,448,906,959,763,251,632,268,177,291,
257,685,732,656,440,100,970,683,378,111,809,954,665,836,245,794,380,726,569,
575,787,063,731,439,248,903,365,058,117,536,066,974,218,837,152,655,791,257,
190,940,052,861,021,164,265,546,096,579,446,270,826,515,262,002,251,597,042,
601,982,356,202,304,571,088,025,043,230,481,635,584,824,194,764,616,546,298,
232,146,964,768,241,030,218,392,465,565,566,215,257,922,560,891,910,453,467,
512,709,251,703,970,541,146,478,082,947,723,749,583,071,551,386,272,154,592,
838,243,835,183,833,721,785,577,869,134,873,132,136,320,803,744,708,877,150,
959,235,420,311,494,779,803,675,844,746,573,977,572,709,539,145,849,343,949,
231,371,752,521,794,191,523,246,291,016,564,792,571,348,856,337,002,106,575,
212,398,920,395,226,256,812,737,792,963,327,845,284,174,103,443,157,701,060,
349,229,927,663,312,194,008,791,302,136,697,800,206,841,913,182,301,795,516,
610,191,278,751,356,202,070,629,604,911,462,743,067,747,222,222,442,520,841,
315,256,535,850,179,937,513,488,623,411,385,676,243,536,064,333,221,971,722,
345,314,952,263,433,966,234,964,497,857,033,198,724,463,101,802,275,869,114,
975,839,465,079,654,642,427,877,159,685,050,095,488,930,362,995,942,392,389,
032,269,723,697,134,311,215,930,760,117,232,110,686,856,582,850,285,618,714,
796,123,325,567,290,555,095,309,930,356,318,158,396,773,889,519,186,719,035,
900,728,824,794,184,740,855,833,509,290,360,159,603,374,663,865,135,964,439,
744,745,084,608,651,288,005,353,617,654,605,339,624,212,623,741,449,638,060,
918,778,949,209,631,785,422,784,001,451,033,670,449,238,933,283,317,689,908,
887,698,359,265,722,902,072,562,580,507,614,967,325,637,866,647,913,478,755,
576,364,266,615,491,344,028,110,495,080,880,780,686,424,717,218,134,680,400,
815,001,833,796,578,285,990,496,160,809,269,345,709,733,791,869,488,237,115,
601,601,906,644,721,183,358,055,869,523,394,354,907,765,599,518,682,962,240,
734,530,415,856,013,642,807,960,880,799,597,075,999,930,365,964,185,837,006,
586,925,065,231,605,134,434,424,955,602,939,777,813,904,558,987,170,550,439,
452,467,509,185,370,577,367,469,059,897,488,643,490,426,006,502,536,252,254,
813,027,709,412,184,519,251,887,139,221,798,643,938,048,100,587,909,745,003,
451,800,913,465,814,357,106,625,291,788,240,244,870,911,393,764,187,145,409,
834,225,518,317,754,686,526,917,283,066,018,914,419,302,547,420,889,358,183,
112,434,005,242,530,275,757,910,069,002,280,994,468,450,355,524,402,000,970,
391,920,061,470,329,958,014,944,869,093,225,550,403,131,658,842,145,545,788,
113,249,187,263,490,813,098,327,569,291,098,462,183,290,478,921,790,361,399,
711,596,991,877,798,870,761,148,953,579,345,378,467,970,198,620,627,306,726,
944,667,413,549,315,237,243,920,816,588,592,364,513,316,474,810,348,378,326,
989,761,134,686,309,935,573,042,503,917,607,833,876,720,783,283,296,792,788,
397,039,341,614,972,661,044,760,035,884,317,496,270,746,223,848,731,158,121,
403,330,826,142,251,833,592,653,286,149,593,299,897,497,756,538,060,785,693,
013,677,030,561,827,535,410,148,137,604,232,582,173,468,149,695,313,297,880,
937,855,251,084,885,576,050,393,693,190,659,005,722,855,508,389,324,321,256,
183,805,823,674,626,918,784,204,118,902,062,003,749,731,182,887,716,057,482,
307,050,270,797,036,688,582,995,826,776,492,936,594,450,800,653,616,484,375,
428,580,484,193,025,433,346,716,781,708,953,259,529,373,302,142,835,353,927,
694,433,490,892,786,990,634,024,391,604,581,418,789,350,190,764,949,505,088,
968,530,996,024,825,386,775,146,729,999,634,362,318,286,477,677,319,858,123,
310,302,391,434,835,122,424,771,263,136,017,855,857,550,167,466,608,794,015,
186,957,571,947,888,624,790,367,710,156,135,962,991,563,121,252,345,717,174,
058,886,165,726,272,867,635,096,985,166,618,723,491,571,344,178,975,836,550,
801,191,036,157,565,194,530,774,017,283,347,326,389,418,775,576,949,551,983,
973,795,998,252,758,646,583,688,596,035,523,700,198,741,799,237,210,629,924,
170,849,177,103,492,996,057,511,363,815,718,745,041,875,344,389,153,806,278,
491,546,754,187,797,318,099,422,505,454,207,205,546,454,993,346,530,450,590,
731,472,419,575,769,423,037,545,697,986,618,414,919,937,337,471,188,465,922,
050,739,545,836,255,470,956,755,263,151,783,728,794,390,291,926,988,848,853,
656,598,846,460,136,155,714,289,118,263,228,239,881,083,198,550,952,762,991,
711,347,493,842,335,327,957,962,320,976,223,039,621,032,301,403,756,066,053,
892,369,261,648,691,972,377,839,969,495,896,580,131,585,373,295,018,780,939,
276,392,423,519,736,665,528,082,926,068,548,564,664,505,943,817,574,520,426,
179,427,872,481,147,215,101,388,182,973,162,425,580,932,375,593,744,112,985,
263,528,392,213,376,447,983,036,142,994,016,533,843,295,883,673,743,451,850,
819,596,120,283,677,378,824,939,932,285,040,993,321,203,274,226,283,595,975,
704,765,457,989,836,901,259,271,254,719,336,181,102,773,752,349,301,270,236,
287,257,174,679,824,501,099,065,796,688,503,296,163,636,180,978,040,445,334,
681,747,418,697,161,445,558,692,786,518,550,039,740,378,461,415,198,825,088,
232,817,031,555,793,086,531,563,487,282,620,463,919,144,837,914,481,045,223,
707,673,356,424,470,845,286,192,817,620,372,437,455,516,595,960,206,982,622,
854,689,510,787,050,225,704,546,556,584,036,068,139,586,529,972,003,084,834,
843,203,079,425,230,508,914,864,949,528,357,783,132,685,759,500,621,724,660,
840,412,234,842,936,537,943,355,069,812,520,093,500,361,312,608,969,472,453,
180,610,346,933,738,573,459,172,970,038,775,227,232,179,966,022,029,877,393,
820,472,294,855,276,178,005,222,351,745,314,797,874,914,284,213,202,648,117,
998,385,219,729,730,356,292,799,432,140,979,660,873,491,375,521,561,373,831,
601,621,529,301,596,650,326,319,549,715,276,116,214,245,552,645,903,644,740,
174,629,218,124,280,068,593,894,857,141,906,637,748,410,558,794,767,509,216,
671,623,833,452,326,620,364,869,303,116,636,168,296,537,397,763,937,810,304,
622,587,889,418,532,804,244,489,576,511,529,123,441,022,140,736,134,945,407,
434,036,012,122,205,274,878,483,545,703,828,407,411,969,310,508,134,088,955,
593,147,335,957,526,456,129,266,350,572,930,739,678,944,298,796,641,995,399,
022,239,409,000,169,946,200,242,653,827,516,022,867,721,697,058,934,248,779,
304,456,693,607,726,058,907,283,622,140,808,598,173,466,086,408,388,296,436,
065,909,020,724,625,050,566,653,508,119,884,965,908,227,166,981,472,954,870,
973,454,965,040,715,215,822,623,718,604,609,497,386,854,709,207,239,829,308,
129,265,850,023,978,738,410,084,672,120,981,471,515,982,617,276,673,993,913,
120,216,211,748,228,206,070,508,569,827,332,638,410,872,752,776,478,780,204,
700,595,597,677,709,806,951,108,878,586,530,438,565,547,214,219,099,270,917,
050,833,416,112,516,423,641,997,473,054,669,547,840,007,176,788,384,378,587,
655,333,202,556,426,031,744,773,268,748,395,462,672,657,160,334,111,898,585,
458,746,535,787,733,394,092,836,212,720,604,412,686,105,547,622,615,094,530,
308,804,341,238,128,659,358,239,492,298,234,602,005,929,935,679,814,598,045,
853,761,034,364,981,808,939,677,133,846,983,557,454,732,297,398,383,619,532,
451,691,471,227,465,960,684,003,821,531,449,191,470,031,715,459,387,765,083,
442,690,088,217,493,034,230,545,507,008,001,680,683,643,232,187,256,160,306,
855,940,253,424,141,644,671,914,720,469,916,183,262,252,416,810,647,899,864,
047,191,248,613,929,305,440,598,764,599,271,711,667,946,623,080,558,834,816,
936,392,481,243,926,707,982,584,236,003,000,407,530,638,416,122,164,485,237,
156,115,028,307,835,283,943,940,585,888,275,179,999,657,292,743,604,156,977,
481,074,660,430,202,197,878,965,640,630,974,115,993,862,238,586,769,563,218,
377,767,467,423,852,444,376,973,116,577,593,570,921,108,277,059,371,928,238,
020,829,270,838,878,801,757,075,750,477,875,554,055,917,941,633,911,541,042,
911,132,769,751,899,722,654,236,093,174,528,113,398,961,947,887,404,167,011,
991,713,646,177,137,539,051,341,526,984,723,192,780,596,311,869,522,075,757,
349,096,430,791,812,621,888,013,495,105,884,864,115,091,379,106,337,426,691,
853,462,474,633,580,713,496,647,230,356,206,127,106,371,613,603,675,765,597,
454,268,909,453,365,717,514,834,204,348,391,075,348,393,069,984,106,591,826,
535,948,527,854,478,155,487,239,235,994,299,372,085,647,522,357,851,229,256,
918,766,669,583,215,248,363,123,629,120,377,333,153,014,925,607,453,628,531,
193,826,178,009,913,539,604,010,505,600,105,094,049,829,234,278,171,842,334,
522,703,411,202,512,015,879,312,303,502,068,526,096,954,183,523,805,258,247,
344,860,336,099,773,368,282,247,375,790,876,327,357,155,818,847,351,410,416,
684,709,852,981,556,175,237,545,778,376,057,920,755,181,509,338,334,119,054,
828,086,780,924,607,438,240,064,442,937,612,072,295,051,210,058,207,550,112,
993,696,576,254,842,589,180,800,150,218,687,244,340,665,247,994,770,137,334,
082,687,342,972,714,030,789,867,659,866,436,753,912,642,329,589,245,330,433,
373,520,725,964,817,515,405,163,296,074,823,480,355,540,817,031,253,697,833,
276,464,087,761,330,929,165,429,815,100,694,978,956,672,513,969,627,323,465,
192,788,297,110,505,530,825,380,136,653,126,317,809,361,787,328,999,714,375,
442,224,576,143,200,832,591,497,106,666,036,710,559,978,121,361,898,163,105,
332,116,921,807,252,928,359,376,946,064,253,043,372,771,637,779,994,926,225,
520,321,391,823,140,608,075,199,896,667,854,207,922,166,922,129,414,196,821,
934,427,709,307,350,170,919,073,287,988,078,578,288,138,979,206,465,733,991,
712,246,474,417,318,330,475,884,009,328,474,141,645,933,397,048,355,757,161,
265,957,236,323,101,467,314,638,449,659,557,924,500,073,356,506,717,587,377,
364,061,543,456,074,680,341,334,211,429,433,344,681,489,971,147,086,004,370,
284,412,389,684,528,301,599,265,071,323,863,070,494,286,809,936,080,458,738,
876,589,205,320,541,141,646,375,197,937,961,795,278,347,439,632,225,828,680,
848,195,656,549,296,971,560,254,828,438,377,370,241,833,134,365,645,850,302,
763,856,534,515,803,223,847,973,686,693,048,213,281,065,805,668,692,857,464,
605,435,108,602,301,451,904,968,544,545,195,059,685,914,658,576,497,965,265,
588,535,200,449,839,026,469,659,043,438,386,472,995,058,149,424,245,675,203,
756,164,385,459,712,857,380,039,887,260,943,195,816,950,353,356,765,198,226,
281,958,129,215,112,889,067,056,745,122,931,036,140,038,099,417,593,416,340,
729,299,969,193,715,295,402,300,039,365,680,800,584,327,428,383,425,425,171,
749,169,642,675,031,894,396,382,287,384,510,911,612,722,677,330,660,258,105,
009,059,081,898,314,498,679,864,700,905,256,708,276,986,817,606,186,780,282,
867,568,374,772,794,325,494,139,983,118,616,792,559,257,021,563,168,749,205,
455,976,418,283,479,697,498,406,627,146,956,082,099,917,305,227,004,738,342,
880,332,018,663,864,711,539,249,863,940,470,219,497,810,038,367,336,481,824,
077,372,521,031,671,295,672,481,051,849,967,133,423,831,988,679,066,806,001,
758,596,716,926,888,347,987,943,723,857,758,698,374,007,187,956,381,655,480,
534,925,194,114,738,542,674,569,710,954,054,649,776,030,349,344,852,837,327,
817,726,095,593,876,517,716,554,164,695,536,141,396,263,382,143,890,413,978,
269,808,998,645,585,752,718,698,678,274,512,362,030,671,832,024,203,876,375,
465,386,850,869,012,638,299,872,258,353,026,063,123,634,226,927,617,073,081,
850,577,015,158,677,919,532,514,262,903,601,120,714,748,644,593,004,415,792,
233,756,737,406,850,486,634,978,974,315,129,316,091,207,152,334,168,898,252,
901,433,955,675,471,387,469,491,859,376,331,614,280,976,417,003,931,693,269,
170,256,013,312,551,598,821,471,170,840,160,867,523,478,001,499,526,320,371,
104,063,323,167,051,862,548,569,603,032,199,734,468,258,822,283,577,440,029,
189,070,471,437,806,512,935,668,463,144,231,784,835,822,308,982,923,552,029,
938,476,890,521,538,354,867,915,728,385,317,728,562,911,294,884,572,697,167,
024,782,572,942,810,985,515,480,765,668,971,042,566,967,378,460,472,746,893,
261,841,618,365,634,710,211,777,909,203,421,698,523,504,876,889,922,335,622,
762,410,553,090,345,794,531,052,832,713,865,378,863,921,111,266,855,523,227,
922,454,659,831,778,572,535,153,592,407,837,988,043,433,070,178,514,433,461,
026,987,871,999,962,229,980,610,406,974,416,090,169,806,911,226,710,284,300,
578,513,337,133,946,579,414,256,505,928,044,792,917,176,901,038,049,624,591,
578,714,319,932,599,667,118,790,708,696,886,242,605,321,658,003,955,628,493,
513,734,975,111,606,225,739,896,019,736,388,971,588,018,745,257,946,892,507,
806,530,059,078,229,709,693,333,281,155,610,990,754,729,139,279,317,355,627,
861,751,316,443,968,301,592,971,932,097,587,637,228,079,414,384,548,027,652,
539,261,775,827,746,383,333,650,063,209,760,641,181,154,829,481,079,512,017,
351,284,574,038,598,417,458,928,042,363,234,020,484,059,024,088,195,135,555,
591,035,205,840,992,781,582,000,929,907,997,966,384,637,965,066,753,237,809,
557,113,678,623,398,216,983,275,578,929,628,478,843,404,673,633,555,106,941,
010,025,948,358,138,862,688,393,705,132,188,225,980,563,913,068,910,144,452,
945,946,240,195,811,085,550,934,289,055,430,924,122,603,917,232,321,882,138,
231,079,128,209,389,836,504,610,360,188,646,437,317,528,234,471,967,562,604,
945,851,041,183,731,882,423,429,774,147,617,581,092,169,199,450,312,790,532,
320,020,048,426,553,256,406,507,957,092,330,216,117,772,453,586,868,502,713,
539,675,722,087,886,272,634,510,861,016,638,834,334,947,022,778,309,172,551,
516,593,974,211,244,204,376,944,589,948,051,499,613,725,121,689,755,610,726,
371,331,022,370,222,470,378,611,123,195,377,514,908,423,610,246,198,287,722,
980,891,400,251,735,645,885,313,442,298,757,312,577,713,632,496,891,032,468,
441,035,291,814,200,138,681,871,313,063,775,900,852,377,130,295,012,686,563,
231,279,458,293,370,118,227,435,071,654,447,112,147,733,140,886,567,669,360,
462,782,617,117,674,393,582,874,016,355,836,792,295,501,057,541,435,053,685,
466,228,395,038,203,077,668,922,635,618,906,020,073,487,419,883,086,436,488,
257,765,372,048,484,092,262,840,448,823,656,164,717,788,644,194,577,787,472,
216,993,236,357,807,517,591,245,608,817,692,469,081,987,709,771,322,697,521,
294,026,074,427,479,870,375,291,565,388,686,278,179,117,323,273,065,383,261,
281,714,539,759,276,736,468,330,159,666,757,528,870,532,742,180,634,410,439,
946,430,324,948,083,708,643,193,885,670,677,739,009,966,518,445,157,614,157,
047,237,404,130,219,061,620,174,366,095,677,039,431,309,919,276,206,230,112,
994,528,002,055,135,886,617,798,090,211,004,959,353,950,191,631,470,778,155,
008,816,505,282,392,551,382,753,492,423,950,349,910,464,223,642,595,007,265,
461,632,685,345,141,230,682,177,417,650,598,870,233,316,925,739,413,152,441,
155,191,837,248,720,527,176,310,876,235,156,540,195,251,334,525,283,281,231,
064,521,447,629,325,657,562,166,877,434,037,708,007,994,069,833,801,958,563,
198,996,850,573,584,079,108,889,718,482,093,291,967,520,975,031,790,938,733,
226,044,166,321,885,235,459,829,868,858,924,017,965,334,135,849,020,331,871,
959,227,775,655,848,433,325,505,887,904,544,874,994,116,284,701,624,542,187,
947,873,663,518,243,618,093,708,408,940,162,319,614,096,533,316,293,854,740,
018,922,516,561,964,398,090,855,580,953,283,646,246,114,903,129,455,031,136,
442,589,937,287,009,595,602,564,321,652,193,882,214,249,287,018,567,806,509,
579,098,033,996,994,913,634,949,945,878,842,624,487,831,347,198,497,965,757,
153,508,453,502,435,936,750,598,006,755,090,986,685,574,473,419,835,415,524,
358,878,400,606,618,732,549,052,352,841,189,420,258,885,788,517,286,562,105,
202,944,369,225,800,378,865,360,852,771,193,829,931,750,664,969,748,712,753,
203,030,397,555,808,873,157,045,198,503,923,026,125,525,638,345,496,433,145,
678,754,311,623,376,877,954,143,407,931,148,279,627,437,968,323,672,725,133,
033,825,357,252,888,065,633,011,157,696,211,195,500,222,834,053,683,247,790,
484,040,102,025,838,822,658,170,007,915,054,860,605,580,174,529,540,629,935,
545,132,846,121,643,344,152,009,811,674,267,643,194,618,189,539,412,313,970,
935,419,007,470,666,676,723,895,879,471,949,926,015,726,019,734,229,426,750,
773,133,829,842,110,684,568,531,082,930,603,823,057,001,008,889,081,613,650,
627,099,791,102,006,024,161,784,395,971,344,457,109,103,451,577,718,521,187,
147,403,807,067,957,655,176,266,412,593,480,678,073,409,147,748,991,988,441,
473,535,385,414,999,881,968,690,841,972,776,179,490,019,464,365,794,619,389,
170,898,525,043,612,439,454,166,658,826,730,812,722,702,750,094,921,098,371,
433,996,905,380,629,052,309,130,657,866,322,805,773,734,193,127,095,498,246,
286,598,137,658,217,128,817,182,945,459,758,245,909,867,372,421,758,200,724,
813,433,477,318,367,332,019,500,292,645,062,752,466,248,442,863,646,502,646,
495,112,877,218,617,712,741,927,023,118,528,858,128,610,896,991,316,338,012,
894,634,133,680,854,002,128,828,286,910,572,546,485,624,418,283,775,667,554,
938,075,109,181,270,737,597,711,581,019,928,060,835,238,481,996,647,616,101,
660,783,657,337,440,053,703,184,118,303,707,408,573,377,223,443,171,432,036,
729,747,519,495,425,458,968,721,574,260,285,055,871,103,855,225,870,882,841,
504,034,488,881,765,845,125,649,446,816,910,826,287,053,323,993,846,159,240,
683,346,897,110,178,388,859,412,925,490,133,926,535,207,708,342,834,280,590,
747,789,984,140,359,751,678,004,427,524,443,760,103,401,914,600,187,354,029,
854,285,797,803,566,825,595,873,044,737,808,002,150,003,404,683,815,785,972,
641,409,406,236,439,093,986,923,292,726,812,790,385,013,547,566,953,689,466,
945,184,206,203,717,712,492,592,423,348,917,577,858,087,334,594,414,243,107,
626,711,949,891,465,311,236,745,435,104,433,575,500,451,792,402,892,014,904,
302,329,722,245,369,386,155,744,868,999,661,340,599,932,739,006,707,294,679,
123,214,875,078,959,499,537,143,500,327,038,656,510,971,906,869,467,951,783,
087,121,044,438,962,963,632,009,193,029,341,019,324,586,769,675,011,237,949,
810,083,842,169,808,160,456,657,136,812,670,341,309,476,029,045,041,815,786,
437,683,242,770,915,599,071,173,802,450,526,773,938,015,510,208,120,170,298,
986,920,064,038,150,009,332,525,906,246,715,838,205,905,965,325,526,963,155,
296,138,326,640,713,478,818,891,842,579,454,041,580,693,552,071,389,798,688,
047,677,893,727,160,757,583,068,438,397,308,590,157,759,007,488,621,032,167,
234,181,561,163,784,557,831,965,695,231,789,751,524,917,581,780,460,751,518,
124,731,257,598,236,706,214,214,701,752,283,589,466,594,146,485,506,342,364,
246,233,376,408,850,504,357,206,566,366,461,117,118,996,251,196,189,101,706,
409,814,529,384,871,946,214,787,806,092,233,944,667,945,248,166,217,877,851,
923,381,446,210,615,706,247,730,478,308,038,720,942,607,341,176,768,089,419,
147,221,596,075,629,917,134,070,391,618,225,983,128,201,181,471,930,408,802,
915,520,488,351,266,242,081,698,792,490,901,788,262,883,258,323,123,796,187,
981,077,910,726,584,808,403,095,984,321,177,377,386,485,153,640,769,756,931,
316,879,692,771,103,632,263,113,797,421,537,363,679,030,139,402,336,991,930,
566,937,133,194,673,614,613,574,071,121,683,622,897,711,433,760,957,137,925,
922,147,594,023,870,712,501,838,068,837,749,402,189,693,546,952,840,421,642,
556,826,927,800,619,063,755,242,433,896,912,532,551,505,207,152,101,892,713,
234,385,453,044,665,569,096,324,990,153,813,209,557,234,952,923,751,658,653,
262,620,298,995,661,983,134,243,673,926,486,959,020,155,324,823,712,306,745,
889,456,195,872,247,731,139,612,880,184,317,615,340,555,299,796,031,312,281,
571,624,082,048,205,383,615,411,230,337,563,334,781,096,483,382,186,614,988,
843,451,674,464,559,754,338,250,948,036,470,873,712,874,397,827,583,840,798,
787,531,585,479,424,937,020,173,797,340,434,640,299,509,098,848,135,350,101,
366,378,095,402,846,192,489,729,105,726,860,181,412,992,290,613,054,768,857,
903,041,864,075,185,145,409,543,064,409,451,329,024,234,837,537,745,391,205,
472,994,351,227,103,079,260,609,642,301,862,097,111,587,821,355,279,017,707,
486,258,158,609,661,902,519,811,094,201,974,306,004,766,501,522,356,073,596,
693,832,786,966,340,819,905,039,639,965,150,638,591,471,348,697,239,586,593,
147,456,855,774,440,145,187,837,186,790,687,488,100,982,815,750,277,871,877,
880,224,926,154,069,585,135,075,814,848,551,478,337,605,468,744,633,941,627,
588,437,896,190,709,379,806,455,138,702,195,360,686,732,762,343,518,850,458,
406,554,332,906,473,164,847,174,692,701,133,074,187,355,976,384,473,036,029,
532,165,984,015,960,420,138,409,776,563,013,387,085,597,426,337,072,957,748,
236,986,203,084,251,983,672,388,458,851,198,900,188,537,943,272,399,365,779,
167,252,468,582,270,562,022,346,581,282,882,513,838,503,832,855,448,061,593,
323,855,763,496,482,176,500,808,646,047,282,028,278,419,597,494,249,585,095,
745,970,081,214,146,177,922,839,021,954,411,621,589,343,794,036,209,057,957,
505,567,884,164,289,981,071,023,918,528,915,347,467,547,733,785,842,673,441,
001,797,149,254,680,978,361,397,043,637,535,084,198,158,749,781,076,901,969,
565,739,158,381,812,071,122,174,587,639,552,490,765,120,023,370,163,493,939,
614,916,379,726,212,374,555,324,427,377,385,782,928,619,943,703,109,778,694,
347,720,072,989,730,520,946,422,804,278,664,826,875,408,102,471,383,748,486,
412,298,083,985,263,173,959,317,132,505,216,937,879,810,671,865,153,199,336,
953,497,108,597,747,744,215,250,782,440,944,888,770,586,616,495,307,935,094,
554,653,334,350,074,726,206,920,517,926,636,839,204,553,058,693,709,563,954,
450,777,221,387,721,043,928,354,797,609,776,474,119,829,109,814,168,531,538,
625,702,210,489,896,767,414,905,885,433,692,696,757,395,825,986,862,431,762,
880,165,612,116,225,525,498,650,260,044,637,837,383,091,846,623,030,000,761,
334,364,064,459,377,685,129,530,375,646,981,731,159,190,913,834,720,945,843,
882,170,201,151,235,443,976,841,091,778,276,115,001,258,518,571,770,786,982,
007,653,891,902,107,046,430,924,584,491,231,899,364,611,425,413,355,873,256,
344,406,427,942,719,406,084,056,662,213,498,772,296,912,059,978,199,505,032,
631,722,622,610,264,481,222,601,908,976,010,349,059,507,311,205,339,475,921,
887,474,761,057,413,660,483,117,007,149,304,981,547,517,143,637,862,201,580,
022,130,967,585,322,273,967,594,109,760,713,431,973,653,100,151,191,337,062,
610,407,984,466,585,152,217,374,929,076,338,868,647,147,400,806,475,134,561,
824,836,218,495,886,400,428,069,790,201,951,176,987,275,256,031,629,236,548,
452,729,843,339,938,111,662,275,447,325,025,360,862,168,075,539,751,922,916,
740,059,653,598,312,160,508,744,493,159,751,385,674,006,828,211,969,419,357,
977,423,464,507,694,460,202,600,589,903,620,382,148,903,756,843,363,963,861,
059,836,821,410,782,519,261,409,364,954,043,633,663,945,603,706,933,314,440,
947,237,793,787,615,535,550,933,471,242,347,595,327,458,044,324,448,716,273,
060,420,349,918,379,688,387,781,924,639,736,329,681,785,097,635,323,472,001,
337,906,298,851,317,942,120,981,553,020,009,715,771,971,722,175,149,478,966,
377,695,824,975,883,368,275,160,403,340,413,728,671,252,217,690,656,063,978,
366,774,867,429,834,974,680,053,648,952,915,546,450,547,886,725,486,199,025,
613,755,800,893,169,431,189,648,949,324,057,753,723,356,019,492,234,412,687,
264,326,900,137,355,605,061,477,216,828,716,344,102,855,189,730,384,100,778,
886,056,460,146,903,768,101,930,414,058,885,705,483,457,265,378,665,095,984,
269,054,156,883,093,262,255,122,733,838,559,550,262,623,914,612,984,084,569,
049,424,072,479,554,543,942,356,193,106,213,764,802,383,433,642,017,368,038,
529,008,895,726,740,739,439,224,409,461,122,529,223,323,430,329,455,337,823,
180,910,811,681,026,966,217,057,728,592,616,891,251,030,759,773,375,956,136,
979,961,575,677,907,616,149,249,558,372,531,418,196,780,222,554,291,204,372,
107,922,773,030,534,894,616,909,253,082,982,670,261,631,283,521,699,679,617,
821,791,790,729,989,385,033,312,477,992,902,066,897,806,165,514,540,502,280,
927,578,913,152,710,502,390,092,592,504,006,720,969,713,329,961,728,449,425,
181,574,593,780,652,249,991,622,520,311,744,386,460,907,174,251,491,613,245,
730,018,363,968,547,065,534,554,967,703,637,442,834,639,119,713,365,874,380,
715,617,225,429,711,716,462,407,049,070,339,252,608,250,091,880,496,270,238,
224,114,236,643,709,365,571,063,690,075,157,593,277,110,585,471,275,602,266,
803,206,221,613,420,875,825,409,527,453,042,700,875,762,895,706,159,445,253,
358,609,426,791,268,991,991,316,288,793,484,679,712,363,118,180,308,541,040,
489,231,008,372,711,803,228,648,828,809,054,950,782,521,348,983,728,036,761,
625,462,241,727,893,104,847,225,915,785,818,103,156,259,868,265,443,822,626,
257,467,167,318,395,660,117,839,289,593,975,362,665,128,426,658,833,818,870,
779,159,426,649,264,246,588,309,520,278,915,551,578,216,410,927,522,729,575,
865,495,986,257,621,513,927,131,374,541,020,928,248,056,392,896,121,296,079,
750,146,279,950,444,812,658,340,919,203,018,632,783,657,477,223,729,458,295,
320,966,350,767,503,652,297,400,896,051,536,010,832,476,737,557,801,850,964,
309,594,948,658,895,527,659,893,439,551,456,823,741,033,693,018,097,008,916,
468,807,160,204,947,374,398,368,737,411,568,193,721,095,769,022,370,831,475,
014,989,272,043,724,469,184,692,729,634,119,184,755,454,084,770,142,237,927,
847,374,652,265,124,853,738,474,505,756,405,301,281,327,624,835,699,363,021,
023,868,098,343,602,243,466,660,478,006,343,151,154,432,507,656,612,998,326,
889,040,741,104,285,545,465,590,623,370,171,652,105,706,948,972,844,277,336,
736,955,503,453,681,167,915,179,565,181,196,474,336,981,891,575,995,946,858,
745,024,703,116,998,152,418,681,201,524,124,367,965,468,820,418,213,575,325,
828,648,876,116,628,030,374,922,352,545,510,786,136,720,306,901,699,267,972,
895,181,266,927,757,897,638,672,083,803,381,693,425,589,164,113,029,945,706,
911,242,927,358,946,754,380,709,491,884,992,041,800,186,702,656,254,797,852,
066,646,174,733,985,557,512,783,744,181,107,987,629,929,764,610,917,358,865,
788,978,887,986,642,853,441,146,382,220,519,749,827,386,895,798,315,104,694,
097,591,448,718,784,656,620,860,151,871,328,002,249,170,948,031,228,909,690,
248,256,151,696,618,734,222,057,540,539,072,270,628,920,896,881,324,059,062,
289,464,914,841,659,849,850,622,096,802,350,070,169,286,793,988,503,148,739,
090,592,055,720,328,253,483,615,401,271,108,398,185,980,226,023,803,775,953,
068,115,944,581,371,833,008,682,220,643,146,081,139,555,999,088,688,275,238,
940,286,710,293,362,631,838,696,433,299,359,561,250,900,223,900,459,013,047,
330,575,250,922,461,733,012,556,473,081,971,860,740,090,522,691,842,695,823,
541,735,177,205,395,414,877,530,018,994,801,138,015,957,062,342,726,580,365,
855,907,632,129,659,086,548,683,908,826,843,026,833,233,492,179,314,419,500,
964,389,100,115,516,552,529,605,326,624,761,241,441,795,737,587,675,748,813,
239,041,048,885,970,284,855,055,304,626,769,231,364,563,838,624,872,787,821,
297,046,588,768,343,268,638,219,695,831,787,358,424,908,351,254,267,095,885,
371,480,904,156,025,676,107,959,744,661,418,218,275,840,457,185,424,566,835,
412,386,538,792,082,210,820,238,432,469,831,978,037,021,220,362,497,889,719,
580,401,401,302,520,801,007,622,036,178,094,431,774,292,774,803,290,298,389,
840,744,723,938,363,958,456,226,893,677,770,314,023,469,726,168,751,578,284,
861,900,652,521,490,951,326,403,575,024,480,719,335,856,016,823,841,559,605,
204,576,277,274,979,033,670,234,072,621,680,320,572,060,433,992,591,916,624,
761,686,174,267,972,813,912,519,554,922,751,388,829,463,141,074,569,519,601,
977,572,985,319,515,153,738,439,712,078,531,612,608,390,756,414,563,918,239,
658,098,031,387,183,663,134,575,011,938,005,423,095,944,207,811,763,945,619,
357,535,865,645,359,343,808,502,478,987,509,148,233,807,644,746,454,589,598,
212,878,180,175,324,291,868,260,251,208,888,911,599,118,109,452,866,993,320,
382,563,851,931,767,162,988,246,677,427,265,284,328,959,328,849,884,005,962,
020,540,560,414,098,579,292,439,319,123,916,064,458,059,053,508,707,839,862,
829,253,550,657,329,230,257,468,596,743,571,372,599,345,652,415,130,791,622,
773,194,115,120,129,831,426,044,310,624,571,474,219,114,880,977,525,711,160,
775,097,882,605,786,151,832,761,269,362,422,977,226,073,730,714,552,435,020,
930,378,079,773,163,922,417,137,715,486,947,412,362,020,441,195,937,506,611,
449,422,469,031,070,341,222,679,892,392,385,443,219,003,974,789,669,262,603,
808,679,712,554,342,042,680,138,684,138,276,502,741,066,367,617,974,031,858,
016,687,015,600,936,981,896,340,667,512,768,568,106,136,948,444,518,631,496,
816,840,459,797,225,535,737,818,423,375,375,851,561,721,315,057,883,837,203,
458,446,507,803,050,476,183,689,406,143,066,141,732,322,629,360,275,325,725,
603,038,424,986,136,397,166,192,131,316,295,137,743,047,066,487,736,455,482,
698,886,772,592,335,822,655,410,499,603,383,732,043,670,671,153,729,593,619,
777,915,987,177,259,398,629,389,843,915,711,158,905,658,069,058,643,480,007,
472,095,596,711,282,390,234,399,300,846,283,255,480,734,293,196,622,553,236,
220,632,813,865,460,387,593,056,796,969,741,440,116,975,872,626,443,219,209,
189,575,189,140,470,497,428,621,220,173,130,057,885,898,587,293,742,524,310,
783,320,080,595,703,348,791,760,615,354,457,177,049,197,277,116,834,800,513,
532,576,947,425,198,896,021,346,847,325,350,361,475,924,311,564,993,405,065,
997,050,414,668,666,971,782,449,801,355,077,146,639,524,044,756,193,308,326,
794,040,241,581,198,578,005,664,022,483,471,426,852,749,774,119,811,686,064,
734,846,169,784,405,635,343,045,864,154,470,310,893,676,927,360,634,861,759,
513,359,440,957,855,307,588,470,054,519,530,904,630,971,408,667,020,279,343,
246,724,933,603,840,479,927,656,959,705,485,980,035,735,247,206,180,786,539,
250,596,044,672,440,582,724,091,930,208,222,249,782,137,441,302,227,088,511,
696,607,415,016,676,088,634,363,331,788,178,697,224,091,842,975,480,966,460,
585,543,774,413,183,853,376,485,624,802,217,848,950,012,323,373,182,511,424,
540,019,514,033,085,360,381,931,792,034,579,714,258,476,951,675,924,788,112,
712,240,992,518,420,561,480,694,076,303,873,931,142,579,180,890,205,353,589,
530,608,903,419,124,549,573,269,979,269,001,050,423,535,984,231,791,932,522,
501,415,768,883,559,745,494,264,099,783,036,467,333,937,246,499,215,046,584,
566,973,505,198,845,693,020,809,251,426,353,678,129,254,478,228,557,165,429,
905,331,271,596,055,126,032,194,950,330,884,863,922,766,605,768,017,781,200,
712,540,371,733,008,603,391,941,762,403,700,616,482,020,578,483,230,745,733,
330,987,811,400,289,986,927,759,037,439,439,881,612,016,429,018,001,338,611,
362,930,000,875,583,995,120,724,112,933,846,715,392,869,541,393,124,272,335,
247,467,824,851,763,418,002,904,632,070,131,620,264,010,574,313,617,292,062,
336,333,834,032,496,776,968,148,544,201,232,631,632,621,664,323,218,901,779,
642,155,869,276,931,393,661,423,027,539,047,242,439,856,107,800,751,144,879,
087,149,962,941,596,982,331,275,556,583,340,465,154,312,747,667,045,593,833,
404,362,510,225,922,164,444,984,535,747,903,586,167,431,048,070,532,596,716,
748,374,949,478,665,795,949,222,110,597,663,185,457,906,244,620,345,293,254,
346,190,242,770,120,020,528,083,821,870,046,465,102,061,050,021,267,180,965,
542,598,556,166,072,945,868,820,945,974,284,185,875,806,920,300,520,443,104,
895,375,799,235,459,856,317,073,138,335,560,092,428,225,100,043,935,170,057,
733,418,515,630,237,815,530,527,063,494,051,753,672,426,181,447,101,667,391,
305,750,916,861,309,534,378,979,854,375,803,919,665,104,326,850,859,834,857,
955,395,655,690,228,563,311,949,369,599,679,692,278,550,863,726,536,001,522,
473,006,942,108,285,643,367,204,704,951,517,809,814,310,850,519,368,082,112,
413,095,073,273,703,581,315,899,831,765,802,884,871,085,225,335,464,020,259,
575,631,883,850,662,901,866,294,404,415,116,574,692,257,825,528,001,389,257,
558,230,648,902,246,319,568,192,036,666,769,983,243,266,802,540,152,234,833,
978,254,376,441,477,787,125,930,333,484,207,216,331,689,734,302,256,351,800,
276,757,755,317,163,090,058,136,865,991,533,948,923,839,396,170,349,234,686,
063,147,452,601,353,489,727,636,582,305,462,329,351,290,130,153,474,440,246,
553,126,209,355,233,353,525,025,042,580,524,914,898,233,587,488,403,986,612,
342,157,697,728,357,920,856,069,847,844,939,917,482,369,322,030,847,074,857,
368,951,936,673,573,686,463,201,107,782,059,433,112,518,733,288,903,682,557,
001,624,022,150,932,567,632,356,376,966,498,355,700,056,919,365,030,948,479,
694,807,758,768,394,464,630,932,845,158,450,741,646,862,588,688,307,325,760,
973,077,323,250,129,231,198,349,374,625,456,483,915,323,639,311,189,147,694,
613,821,828,573,513,682,897,540,533,252,789,477,348,297,123,782,506,994,030,
628,548,171,833,189,188,409,087,209,485,246,822,967,419,536,501,753,449,602,
720,699,032,484,907,799,138,366,909,110,997,947,852,761,987,892,080,629,868,
062,088,136,921,682,513,322,343,070,653,596,563,369,596,686,883,962,992,491,
875,022,513,302,564,775,092,702,172,988,740,467,319,431,914,996,224,094,536,
638,659,853,871,970,779,894,227,308,022,142,308,488,652,577,388,576,969,262,
991,991,151,637,360,764,805,924,405,258,228,660,136,047,219,857,119,485,406,
286,022,430,025,767,832,795,485,911,961,165,945,105,273,460,750,469,274,862,
498,533,770,819,650,438,568,790,019,424,549,152,394,291,059,843,610,505,851,
226,940,236,569,612,775,135,048,942,729,924,270,774,062,757,073,465,219,289,
377,357,023,405,527,705,767,344,159,108,798,744,924,786,405,408,725,350,849,
815,764,287,131,355,514,159,184,979,974,606,049,666,985,002,852,340,749,769,
737,130,065,942,941,106,495,224,842,963,548,257,037,007,101,008,426,663,016,
844,333,028,399,046,236,612,329,784,062,892,897,345,775,442,546,289,214,185,
061,354,529,437,434,517,082,819,840,368,973,273,105,914,166,810,918,206,590,
684,379,102,910,422,646,629,426,574,201,900,123,594,801,410,019,102,237,624,
326,646,312,410,250,428,159,755,898,808,470,649,039,922,038,565,596,527,272,
803,305,318,024,650,014,025,089,717,898,823,526,514,204,309,372,448,385,983,
603,185,665,326,756,587,057,809,954,105,900,660,764,212,850,419,916,889,864,
524,284,611,749,508,255,809,963,535,309,996,427,802,287,644,321,419,464,705,
890,158,888,372,937,998,435,299,986,520,723,610,385,582,825,197,500,468,413,
678,665,020,653,390,836,407,584,356,054,948,770,069,103,401,033,995,282,155,
726,159,153,705,991,665,254,684,922,014,723,719,811,364,068,866,226,887,426,
134,332,656,707,581,971,299,894,216,917,980,946,577,704,490,806,190,279,917,
484,328,459,626,196,060,491,492,206,513,204,510,471,862,106,288,167,419,778,
994,926,829,038,970,465,835,911,426,984,356,051,899,371,195,347,945,703,289,
789,490,343,714,047,420,210,761,961,502,611,299,924,050,554,089,691,059,681,
901,171,913,528,086,679,426,341,979,361,874,239,781,979,416,066,860,501,981,
611,944,459,666,027,693,283,652,558,365,512,516,499,392,800,291,858,004,785,
278,228,905,723,412,311,907,742,201,376,652,194,234,859,256,068,649,667,642,
836,005,930,687,068,761,928,574,754,653,972,315,050,879,715,972,719,046,355,
764,373,171,449,432,937,223,469,269,652,830,428,001,324,682,392,524,107,451,
564,047,733,732,289,658,774,033,405,578,104,617,935,739,140,112,304,347,098,
054,142,691,295,743,116,115,389,268,257,044,322,099,030,392,574,157,843,362,
392,854,562,017,019,525,920,476,668,558,859,959,723,536,909,228,757,391,218,
405,408,415,763,617,001,826,939,713,916,702,279,770,971,906,047,154,692,060,
411,576,982,005,709,692,248,630,950,634,215,490,042,501,466,807,248,418,658,
361,158,685,648,274,505,159,417,597,273,018,164,858,835,687,600,284,586,417,
199,671,439,368,601,434,388,575,966,113,882,034,756,213,442,581,768,929,859,
897,505,406,416,643,193,494,218,465,089,703,591,749,181,153,172,072,726,656,
326,998,265,882,599,839,117,239,137,412,129,912,003,677,895,251,397,645,062,
110,766,881,902,897,065,144,788,688,233,160,340,258,098,506,478,784,776,541,
804,159,872,332,738,749,617,503,721,188,311,914,826,021,892,996,178,669,749,
295,265,573,174,089,649,007,210,967,570,782,029,594,660,429,969,432,907,395,
889,434,113,166,230,003,836,240,818,737,898,224,784,236,129,199,150,626,156,
117,196,491,878,769,375,189,796,008,269,611,260,809,065,570,765,933,343,189,
762,863,033,935,721,110,182,197,380,042,834,715,025,127,711,977,064,188,916,
514,413,747,698,119,632,763,733,954,677,835,275,722,146,309,197,579,537,570,
771,505,558,457,127,556,211,189,444,838,806,038,660,131,256,423,952,798,707,
045,813,744,373,842,639,222,362,146,150,726,313,249,756,263,113,019,641,808,
675,962,124,900,864,253,992,410,297,268,338,534,567,194,872,521,553,031,776,
015,983,401,711,049,389,444,682,969,622,166,819,343,698,486,038,585,981,284,
819,728,987,338,606,066,971,791,484,063,261,906,466,593,040,469,760,576,034,
009,449,023,450,086,339,639,550,203,082,210,678,848,162,195,134,126,500,972,
763,671,028,640,887,937,374,725,311,102,768,476,175,391,014,835,115,635,423,
427,045,139,032,919,269,955,641,874,960,457,248,845,575,499,663,315,891,449,
535,071,051,856,284,610,429,663,617,716,018,262,755,248,300,249,457,586,207,
751,855,047,685,197,670,165,357,353,596,620,417,053,546,705,356,150,997,237,
325,336,706,982,354,254,859,140,694,888,237,712,956,979,078,827,019,689,609,
873,231,317,952,546,126,436,665,307,536,847,294,844,497,502,487,983,430,945,
128,565,672,002,578,552,276,648,156,906,782,374,816,219,293,287,890,958,190,
391,738,392,815,758,088,650,964,467,738,277,891,923,665,214,866,089,458,991,
111,344,024,537,255,916,606,297,309,190,180,150,722,847,007,560,166,110,276,
511,798,851,570,885,120,690,003,006,538,565,742,671,226,018,471,905,195,523,
997,848,337,777,244,236,018,360,794,945,746,756,889,252,862,920,245,925,723,
776,720,423,397,071,000,257,030,629,182,555,625,284,413,690,970,749,038,982,
076,127,860,925,329,664,842,506,857,166,499,107,167,448,671,106,057,027,011,
869,896,846,293,144,842,804,973,919,219,792,523,314,846,440,422,513,990,951,
501,384,768,651,374,097,015,528,494,833,745,099,119,985,824,497,349,041,254,
349,881,668,862,220,711,877,414,090,439,335,615,625,987,298,376,413,431,809,
353,571,071,481,220,681,346,593,102,481,376,764,017,480,482,019,366,101,525,
451,368,819,408,027,244,197,489,930,332,792,341,395,711,176,279,294,861,077,
497,932,704,771,486,655,546,187,923,571,462,724,736,243,298,808,311,058,691,
968,279,187,642,183,823,845,416,178,007,869,437,677,119,827,405,248,832,268,
201,832,991,945,487,107,486,532,002,992,582,447,926,133,173,081,762,413,758,
022,424,980,946,689,184,625,120,644,030,843,336,800,790,618,077,871,704,411,
578,670,321,418,905,584,223,054,681,780,707,469,846,417,758,824,859,108,905,
184,642,003,988,359,122,636,799,045,727,258,657,673,033,340,942,484,750,530,
268,981,324,059,812,068,668,552,290,382,634,147,930,557,228,269,420,176,753,
392,785,850,801,879,387,044,029,074,054,588,924,190,253,941,200,059,175,719,
959,142,217,719,259,367,450,231,917,738,437,954,614,906,758,429,233,864,550,
301,798,724,449,839,912,416,826,309,829,946,781,631,036,948,660,554,939,717,
205,810,919,990,123,050,068,674,988,536,466,473,153,005,535,128,473,992,268,
503,444,050,092,534,805,292,935,527,240,152,603,629,672,971,600,475,042,741,
533,679,497,461,398,762,112,003,667,696,562,654,114,644,703,482,832,522,262,
874,272,213,812,978,774,132,251,656,141,400,290,500,918,270,158,296,277,210,
258,855,721,626,813,881,349,061,153,960,005,759,342,302,372,664,521,277,979,
147,182,752,054,825,321,607,890,411,465,626,202,086,077,044,878,157,768,999,
566,697,971,044,894,923,186,703,949,753,906,016,146,411,494,927,583,382,107,
348,853,761,505,747,156,621,132,195,432,284,564,823,095,520,317,786,363,054,
044,766,850,843,177,113,464,816,041,539,570,892,026,614,975,258,713,078,163,
849,236,579,502,905,960,094,097,231,305,265,729,826,581,185,057,104,458,974,
687,006,529,798,962,096,355,986,708,946,223,422,543,922,745,969,101,623,098,
714,951,256,071,801,449,934,068,047,147,964,583,513,291,593,355,212,838,240,
858,678,202,013,104,728,630,737,891,434,683,261,877,033,969,732,092,491,401,
505,897,538,849,920,007,894,229,662,838,896,748,959,923,222,052,095,178,312,
588,557,050,608,921,556,205,566,416,350,219,509,348,263,135,070,186,099,090,
615,774,602,762,826,003,615,465,109,799,909,783,026,974,282,190,655,512,988,
209,773,150,856,125,741,987,144,653,112,189,382,863,830,256,965,558,607,613,
659,832,212,972,956,439,899,986,651,336,324,348,549,281,326,608,957,345,744,
626,196,886,826,252,904,430,726,478,549,324,004,175,539,212,019,934,032,661,
273,992,669,304,021,119,272,681,837,824,500,588,373,059,987,310,517,407,482,
550,334,076,848,163,361,462,058,893,607,413,501,017,417,471,742,039,269,091,
358,989,472,779,690,435,903,518,528,998,022,514,280,418,294,909,870,756,372,
568,955,524,735,567,007,096,411,389,868,724,450,361,240,330,622,727,831,809,
024,977,215,801,938,638,303,659,876,912,359,941,084,757,925,005,230,217,633,
146,458,156,061,398,060,011,581,963,791,125,146,697,861,442,913,788,499,799,
977,608,401,013,859,309,701,780,023,140,350,294,483,539,443,625,921,668,419,
207,458,600,426,169,550,202,907,075,468,588,813,083,433,117,612,406,163,014,
859,919,402,735,903,358,646,647,492,074,005,071,318,798,349,826,244,170,138,
415,420,964,536,170,301,037,240,106,959,166,316,940,051,839,099,761,544,624,
322,156,423,832,989,398,160,573,024,883,375,528,153,468,008,592,351,445,748,
486,754,618,595,138,657,350,661,892,881,620,262,154,260,638,736,573,757,509,
292,837,910,599,550,917,120,610,781,915,012,036,565,095,874,440,302,186,258,
200,051,553,219,945,004,471,573,683,816,345,704,771,211,119,417,514,554,915,
747,258,633,001,616,127,612,473,985,515,986,877,360,309,888,276,295,850,638,
890,946,241,615,516,644,432,298,684,889,883,034,500,947,570,284,309,596,748,
326,701,276,047,779,156,679,801,653,465,004,675,410,751,079,955,005,354,098,
871,370,351,262,898,809,941,437,396,745,048,093,364,793,805,871,657,794,368,
984,701,010,696,003,224,190,708,165,790,078,254,443,707,303,129,284,107,543,
873,205,251,070,715,796,810,355,847,046,620,942,273,915,159,544,788,952,744,
095,435,924,929,667,895,678,014,220,139,267,182,414,786,823,380,798,780,886,
117,391,425,092,357,522,630,735,309,356,978,877,053,447,321,092,344,162,063,
411,466,412,078,845,547,570,441,058,972,175,598,489,995,224,483,971,358,588,
628,233,883,544,254,912,628,431,597,636,111,542,770,606,311,704,729,031,150,
536,773,634,263,800,803,655,860,091,735,044,494,673,645,023,385,325,514,930,
994,604,620,338,608,933,973,698,565,840,032,209,783,408,055,974,780,710,670,
833,033,097,094,905,272,953,802,670,742,976,884,821,485,772,374,586,830,769,
323,588,201,949,148,959,081,482,648,492,922,424,969,647,873,165,117,931,668,
779,825,604,437,764,913,522,798,046,975,551,355,028,825,276,580,365,517,103,
901,195,506,450,020,051,757,007,131,257,482,252,737,730,551,965,513,126,844,
356,610,305,755,117,886,553,318,495,135,732,303,702,101,392,223,255,318,208,
506,546,298,462,209,487,785,584,536,124,763,170,144,642,815,946,596,879,285,
399,753,547,743,517,069,915,102,741,179,907,119,300,230,296,255,447,526,965,
610,334,428,675,054,107,368,227,447,924,347,828,580,504,397,308,572,525,984,
489,298,216,479,407,173,950,402,027,880,294,774,734,646,566,611,426,995,252,
651,473,155,292,268,945,923,736,260,838,266,532,422,649,703,357,698,589,409,
689,035,748,734,029,714,075,969,193,982,709,597,813,759,809,774,028,280,352,
530,617,454,623,786,970,748,110,111,255,223,380,554,456,529,269,216,482,602,
619,086,632,077,477,516,097,568,346,913,084,454,772,195,899,932,684,506,086,
834,436,993,647,152,697,476,963,314,783,626,332,020,481,602,233,912,508,621,
919,408,658,945,293,653,498,754,342,521,139,515,722,486,399,270,395,676,407,
664,817,848,969,662,254,412,998,332,987,094,642,437,408,687,152,493,762,403,
353,932,584,706,047,253,642,484,708,151,228,070,049,024,704,650,333,297,274,
204,337,265,085,694,143,643,996,839,715,040,652,311,242,643,312,720,323,594,
068,729,869,214,016,878,401,238,018,119,594,119,010,557,084,323,889,789,342,
259,090,152,278,506,426,362,189,893,784,898,517,893,560,749,799,910,233,715,
824,108,314,074,861,705,002,299,044,097,557,543,177,386,501,169,470,561,572,
755,071,894,479,329,392,652,317,216,538,359,870,953,527,989,056,203,107,797,
688,105,649,166,811,179,102,953,080,614,950,900,655,824,565,515,196,285,033,
582,937,208,503,716,268,090,892,462,113,707,737,467,564,159,098,708,487,593,
637,098,683,515,769,627,674,996,599,590,152,938,045,687,978,308,164,160,738,
565,008,031,407,748,282,786,001,781,764,159,804,774,289,618,000,707,832,559,
679,432,610,689,682,525,946,066,015,712,912,014,582,423,888,060,545,928,493,
182,866,327,112,425,109,674,465,142,919,943,112,439,521,677,676,595,387,339,
588,158,274,493,973,278,703,519,823,049,483,856,700,432,870,705,068,008,131,
649,833,453,170,461,490,671,880,178,598,047,217,679,474,127,391,499,666,017,
039,286,955,071,949,382,827,748,412,479,298,622,200,357,439,768,585,994,661,
356,612,703,730,091,942,935,268,324,522,356,333,416,847,085,134,187,428,730,
332,423,020,746,162,422,421,458,320,670,823,249,297,470,823,917,081,211,408,
612,449,785,906,850,032,302,441,502,828,492,545,149,658,970,112,380,255,187,
918,535,097,813,268,383,729,615,971,292,602,622,852,923,923,334,670,467,928,
527,743,793,458,494,228,992,535,878,250,205,562,311,845,869,258,157,325,118,
287,711,031,264,877,496,663,290,146,972,499,481,904,831,332,941,673,003,211,
383,582,262,189,359,762,550,723,428,394,963,812,419,220,644,591,220,108,763,
883,569,682,164,813,722,154,289,012,315,275,323,570,600,073,912,310,110,435,
231,424,904,082,949,795,387,301,602,796,708,983,388,644,771,100,952,324,587,
077,156,557,423,811,758,678,482,212,307,543,495,079,762,758,224,503,143,258,
144,023,097,085,383,605,880,907,714,115,911,592,184,438,371,286,186,302,494,
083,922,426,692,346,385,111,626,927,232,962,408,508,115,335,752,737,344,553,
215,717,042,586,857,308,238,935,058,896,197,882,786,136,634,879,681,552,586,
404,175,665,800,847,475,246,593,368,555,393,801,108,850,269,120,906,403,409,
044,500,851,926,720,055,828,106,660,664,689,739,924,003,338,929,071,531,764,
507,437,457,163,607,265,484,450,219,008,881,783,254,357,309,849,620,835,568,
548,393,881,696,719,441,043,781,226,230,185,738,883,529,048,355,429,339,164,
072,926,250,040,805,184,289,180,117,061,134,119,028,658,132,937,689,980,609,
572,785,701,872,502,623,511,311,947,929,511,241,647,945,242,898,623,486,275,
941,612,972,730,844,105,648,419,142,596,364,282,400,713,708,724,554,238,926,
173,514,768,881,371,597,334,551,795,869,122,350,519,182,573,323,201,563,430,
333,119,307,754,318,395,511,596,813,223,471,086,441,313,661,515,667,432,738,
380,034,422,524,357,656,549,144,074,521,579,364,355,270,027,041,135,796,326,
547,092,503,331,184,176,916,597,232,435,988,017,694,832,321,329,049,490,129,
456,351,577,778,232,581,363,344,867,487,497,010,427,932,919,883,256,184,696,
611,278,533,351,384,056,297,737,261,480,947,718,050,105,087,511,103,896,653,
956,297,402,104,295,767,787,435,517,821,366,114,431,192,809,826,390,949,957,
042,838,125,506,428,181,163,533,325,382,851,671,264,106,419,159,433,944,474,
891,749,599,419,851,598,902,417,347,525,848,745,250,545,723,260,759,232,129,
670,723,629,622,777,517,383,217,556,228,933,705,331,024,768,680,232,746,766,
131,804,522,937,364,967,651,993,053,324,015,614,610,387,716,361,114,951,167,
181,043,537,348,589,580,679,533,410,844,473,650,500,533,575,519,961,219,573,
487,346,852,413,254,047,648,661,428,083,658,762,667,661,003,660,021,343,240,
851,609,578,636,510,657,291,054,093,213,328,439,225,586,928,419,508,500,355,
498,982,259,811,470,002,772,654,895,597,495,412,777,790,133,588,749,376,518,
180,149,125,599,454,784,739,749,114,937,182,709,315,674,267,170,120,517,906,
368,957,645,243,802,206,797,217,401,739,286,564,834,361,018,866,898,039,940,
812,061,067,483,278,221,555,793,832,623,292,527,282,874,244,428,048,713,368,
454,723,593,293,193,517,525,621,072,601,082,490,909,009,848,547,877,388,199,
475,002,950,372,567,435,925,551,440,189,529,723,065,840,282,521,282,693,641,
020,907,855,695,409,850,511,680,556,110,679,167,810,608,520,695,985,929,598,
394,628,488,970,531,880,567,060,557,315,334,108,805,279,233,030,854,549,589,
064,902,041,416,974,966,673,150,668,085,546,089,232,904,662,849,417,710,798,
351,549,165,455,764,395,396,082,063,843,080,136,235,828,005,622,298,778,633,
445,800,392,549,915,737,962,351,709,167,964,460,739,197,091,038,047,280,370,
397,573,175,562,859,149,002,603,545,279,206,970,060,022,034,918,176,158,926,
841,911,665,268,651,855,017,294,080,044,876,288,871,638,793,199,666,254,726,
105,485,294,379,462,532,179,158,149,384,865,730,021,326,211,492,097,219,321,
237,490,324,935,760,226,501,821,060,481,732,713,724,376,727,809,807,088,481,
721,166,721,254,053,377,549,077,099,695,491,822,507,055,581,110,847,220,924,
209,034,379,829,841,916,042,317,620,503,315,400,480,771,156,782,442,893,981,
510,097,386,552,929,568,996,104,852,356,779,340,677,543,894,030,791,318,740,
808,300,415,079,730,759,887,169,709,287,492,077,730,859,380,432,149,614,292,
019,522,617,044,807,923,891,026,833,095,450,005,766,737,646,169,629,162,438,
053,318,267,163,965,970,611,822,369,713,971,582,243,938,778,069,712,785,183,
390,267,748,077,208,548,680,928,938,002,130,936,348,726,922,242,540,736,898,
496,827,908,397,587,492,578,008,362,447,798,068,207,710,611,557,043,971,585,
638,859,157,838,971,097,769,899,650,765,596,890,902,351,691,965,575,080,515,
562,152,047,384,585,001,733,139,000,625,411,397,419,456,404,305,979,951,504,
908,410,309,169,533,593,969,363,956,287,655,906,577,160,472,292,961,754,996,
351,833,680,864,168,457,327,903,603,321,290,704,904,626,204,474,367,676,074,
859,971,196,460,167,152,014,917,922,791,944,513,879,106,567,952,337,043,688,
763,457,276,539,859,619,853,187,025,626,032,846,249,510,247,282,047,552,939,
942,336,976,210,711,762,692,199,669,436,438,728,938,917,186,462,293,457,562,
900,323,502,929,824,567,896,143,913,689,937,389,033,400,781,241,446,790,974,
909,305,911,063,417,089,358,075,066,791,116,666,622,151,773,931,814,655,614,
747,467,240,104,888,197,390,938,430,308,103,078,263,001,157,863,799,094,785,
954,331,319,223,571,338,894,592,109,780,184,055,077,273,413,025,116,064,670,
955,420,887,117,083,548,825,291,459,953,341,468,274,664,116,623,899,474,801,
622,153,334,720,477,819,290,978,055,543,509,334,501,580,000,331,727,389,534,
891,496,348,468,217,252,420,163,950,620,008,249,003,672,562,241,617,864,870,
912,552,276,871,817,270,820,412,956,853,803,303,540,407,969,323,991,247,536,
908,411,696,667,810,176,200,773,147,350,111,909,546,986,614,179,582,886,949,
500,196,522,551,741,495,498,012,888,787,251,824,196,262,517,030,101,389,393,
788,234,412,233,083,362,981,974,873,796,980,522,493,597,755,671,736,244,621,
401,996,775,496,447,996,690,855,661,767,860,609,944,474,407,804,550,467,855,
958,890,294,447,335,719,296,238,183,680,463,234,326,561,867,869,967,995,365,
890,783,271,182,522,392,813,684,368,981,260,190,062,778,122,228,985,430,353,
113,776,827,686,973,354,202,827,695,798,223,911,267,610,198,339,118,878,621,
085,087,667,948,467,314,638,465,867,539,552,235,900,828,115,029,537,565,920,
918,151,213,605,278,219,905,431,279,070,015,498,055,994,858,659,730,628,069,
679,047,833,671,472,267,948,323,032,492,824,538,427,786,630,766,887,701,491,
903,813,747,308,011,878,823,497,492,896,114,052,255,283,631,910,727,379,686,
517,863,213,733,214,043,376,006,756,568,649,707,964,213,463,931,585,088,622,
212,225,170,336,204,871,460,651,422,077,868,381,135,188,630,948,994,985,406,
053,149,503,156,606,411,683,472,845,108,783,548,728,226,500,794,187,095,202,
655,668,678,750,938,440,465,512,377,668,895,074,407,965,951,515,380,090,641,
724,858,572,579,258,335,372,703,145,301,572,993,191,389,397,915,728,949,672,
048,315,536,983,969,109,656,735,230,052,997,587,396,586,513,143,775,505,249,
228,522,363,804,312,843,522,765,599,682,161,727,193,607,800,441,588,117,317,
035,798,229,045,011,710,302,767,070,771,914,335,729,575,088,608,157,277,186,
327,003,307,232,979,791,526,018,443,255,493,068,251,075,373,318,999,699,583,
083,099,414,780,186,645,172,543,024,777,422,194,421,186,044,388,035,193,741,
410,474,139,064,252,099,022,096,308,165,455,484,268,781,647,429,603,051,549,
729,659,473,081,587,427,216,603,039,060,937,650,405,310,460,954,632,455,313,
311,960,925,005,461,913,188,466,197,250,529,171,844,092,721,363,973,757,691,
481,408,981,372,794,950,949,625,445,675,285,186,190,107,799,837,667,013,418,
487,967,075,939,893,311,317,250,080,168,394,534,365,137,213,209,245,884,942,
991,423,959,220,734,764,155,432,851,449,361,595,081,336,358,955,806,267,778,
966,077,782,030,950,641,656,181,208,296,396,908,792,563,378,190,305,862,973,
579,799,739,203,744,077,759,739,379,627,499,208,621,712,849,920,280,884,777,
048,981,052,899,882,345,981,773,211,357,265,223,151,577,109,374,839,078,787,
978,029,823,069,187,750,865,294,294,117,595,736,007,039,131,178,504,651,445,
175,748,481,028,410,977,275,242,915,019,888,862,668,717,365,811,127,455,133,
852,975,171,592,825,420,864,673,367,769,839,738,856,089,442,901,442,332,423,
457,724,128,396,458,703,663,405,631,666,966,425,261,371,057,338,462,450,055,
909,142,340,487,653,734,317,723,811,233,331,964,403,381,465,045,438,911,332,
784,022,157,797,130,562,482,751,052,197,497,819,255,764,869,001,106,442,891,
059,240,879,492,848,536,402,461,965,994,572,748,621,313,925,750,236,447,770,
598,348,500,992,250,828,968,500,676,268,808,221,088,630,829,732,116,021,765,
961,909,011,162,372,915,811,059,933,342,049,849,651,016,108,630,155,737,569,
499,501,881,068,440,576,658,943,901,199,626,409,448,944,667,601,088,700,515,
372,635,442,571,341,635,269,667,780,595,425,130,171,046,473,618,705,611,629,
144,769,845,550,929,526,204,505,984,696,807,898,783,895,039,515,690,893,783,
215,881,601,724,942,142,563,133,173,471,136,559,032,317,317,967,484,818,380,
338,218,919,514,197,818,374,655,325,750,866,063,394,671,558,565,850,882,920,
753,625,419,115,532,568,124,512,612,043,157,721,706,325,888,968,030,816,209,
977,647,378,163,313,562,498,264,970,691,439,392,649,305,510,849,919,078,214,
340,075,015,034,510,826,777,272,011,215,620,721,794,796,834,575,734,376,172,
563,189,587,081,813,426,276,590,511,748,875,083,704,683,222,715,399,613,260,
666,886,725,805,669,156,729,638,976,420,384,445,620,766,699,838,224,223,893,
613,797,275,462,952,534,919,816,708,008,542,920,835,144,462,867,043,792,380,
127,769,165,196,325,817,170,732,312,582,089,539,980,439,046,957,454,938,438,
105,167,256,022,426,106,006,199,346,279,406,115,031,081,583,855,932,980,741,
835,128,461,384,997,899,627,237,901,385,965,492,325,412,824,681,871,883,631,
232,436,141,392,707,311,728,049,855,049,905,443,503,068,387,807,617,077,497,
552,384,466,150,213,947,525,422,290,340,055,508,630,655,102,143,313,380,277,
380,256,952,273,326,642,711,116,581,698,773,280,715,543,074,747,897,240,443,
902,447,491,878,886,078,968,150,448,261,346,568,225,384,929,933,380,985,214,
380,063,222,504,726,559,804,155,483,143,984,887,471,702,878,498,178,076,988,
261,074,489,384,432,224,873,816,815,792,283,053,835,662,036,391,517,631,052,
087,878,443,226,511,478,327,354,592,256,204,661,673,994,185,742,748,007,574,
683,552,490,419,167,665,682,524,694,355,998,450,627,796,695,950,558,941,026,
651,717,245,907,580,183,917,909,216,989,320,863,792,403,725,415,941,728,927,
905,912,416,648,613,200,131,801,271,450,258,698,440,930,944,344,497,856,769,
386,279,791,391,860,177,522,922,342,097,020,403,975,217,576,015,966,778,354,
122,861,405,807,758,860,511,969,853,319,125,016,114,903,245,564,526,816,950,
198,703,208,901,481,375,743,047,680,827,603,803,186,258,090,158,279,487,074,
266,032,649,034,619,308,993,712,074,950,111,283,937,561,036,692,385,796,869,
586,357,582,332,727,373,122,829,116,400,993,194,665,560,980,537,488,524,661,
522,073,051,263,459,577,063,156,815,606,513,320,341,283,206,585,141,668,221,
337,341,938,742,211,105,519,736,971,970,230,712,442,211,789,808,592,337,790,
156,808,975,148,332,975,668,702,105,967,513,866,064,762,569,618,919,240,177,
328,842,227,278,149,617,493,533,876,586,334,550,749,977,417,054,987,923,523,
004,101,980,029,221,405,268,636,593,349,010,619,807,887,189,277,809,798,563,
000,809,197,864,312,781,533,159,955,995,638,962,858,751,208,206,224,057,301,
234,360,641,189,404,716,402,735,899,703,460,024,585,792,263,921,783,118,616,
968,192,807,429,098,220,342,006,008,998,383,494,314,090,588,819,022,959,780,
128,175,741,494,199,112,846,544,789,879,443,001,347,838,592,210,351,653,033,
420,248,474,685,949,723,564,057,633,760,280,843,298,548,301,166,172,076,999,
170,579,432,770,245,558,164,640,673,827,736,745,104,518,732,777,521,264,247,
113,926,209,702,579,577,353,604,878,389,454,926,710,027,530,609,312,382,992,
090,274,159,451,645,143,073,907,509,615,285,541,139,866,958,448,969,646,383,
159,939,346,889,495,840,382,466,390,012,099,183,763,522,810,243,339,430,950,
887,386,229,576,952,943,148,901,345,901,188,056,867,743,013,639,471,727,884,
559,527,562,957,045,950,363,569,430,321,259,250,917,401,016,977,305,558,053,
060,086,375,047,717,554,509,714,088,884,904,623,625,780,034,997,881,266,751,
477,774,471,398,254,742,509,297,086,967,042,456,507,858,484,070,127,537,879,
363,560,986,019,934,982,723,582,925,975,833,272,049,605,345,266,066,882,014,
576,695,344,977,498,470,973,947,086,346,998,884,574,806,943,378,334,743,021,
523,817,825,798,177,511,463,508,988,065,297,766,608,448,238,836,418,405,324,
793,421,903,605,654,212,773,298,132,337,579,143,758,533,585,124,778,910,540,
224,930,034,044,403,713,878,804,590,687,842,919,794,743,460,299,762,922,750,
951,192,329,463,771,702,865,625,193,730,955,547,157,522,070,734,589,446,350,
208,295,818,201,521,373,175,580,803,354,028,148,326,256,669,716,964,870,600,
321,915,046,184,811,161,143,627,635,658,428,816,454,569,659,693,771,160,605,
019,841,193,236,624,093,212,309,553,220,224,965,419,091,378,067,348,173,562,
519,460,615,315,114,875,477,367,493,497,300,343,639,544,718,757,074,048,602,
275,765,223,082,810,329,876,732,754,981,843,306,782,246,664,627,955,903,668,
399,261,679,755,572,544,647,207,050,907,927,760,033,135,279,207,504,521,627,
253,002,658,020,982,570,584,202,716,320,361,377,799,699,277,589,488,664,070,
692,167,849,314,402,590,542,741,013,040,859,872,715,887,295,282,937,713,994,
514,429,097,182,685,302,526,330,756,944,725,567,719,035,960,987,592,492,095,
157,926,177,103,300,294,477,078,151,218,012,021,374,858,577,295,850,239,685,
151,738,283,782,159,015,296,881,144,464,469,385,839,042,902,004,423,417,345,
174,986,447,999,757,283,807,586,806,980,304,584,214,343,897,216,627,008,692,
937,107,976,314,552,116,377,188,065,893,813,190,254,013,124,280,604,869,845,
010,764,425,436,305,794,287,526,802,303,837,338,678,436,162,197,349,582,175,
560,408,485,362,033,294,923,480,245,675,463,302,832,976,377,449,356,465,550,
837,355,555,252,096,366,184,644,648,902,752,448,332,601,315,796,553,445,627,
422,544,706,644,517,070,972,219,369,186,889,866,006,298,312,894,363,009,520,
479,266,221,938,505,141,218,843,273,541,697,942,922,359,495,520,708,617,138,
466,288,687,647,300,144,469,515,209,270,117,232,446,259,347,727,862,174,702,
277,864,734,412,481,279,489,205,585,779,283,811,754,901,164,020,041,506,259,
281,421,005,351,211,999,333,355,340,347,801,410,372,694,151,151,112,375,132,
705,532,343,623,158,995,565,136,691,401,429,206,396,657,447,444,097,727,081,
117,165,335,669,601,819,577,231,410,829,188,607,701,260,749,656,504,935,186,
517,039,606,102,508,489,782,301,438,866,088,006,384,174,845,151,689,205,939,
419,506,610,191,183,324,398,751,693,609,680,930,740,559,794,617,547,005,907,
573,824,899,481,316,035,725,734,620,345,796,501,779,461,497,436,524,468,569,
953,270,950,231,088,159,981,329,334,419,193,831,872,871,143,834,087,734,373,
483,372,286,238,150,750,617,069,850,378,889,243,388,683,635,635,862,707,489,
528,050,901,708,063,271,899,044,420,475,172,265,735,836,097,177,804,135,598,
010,692,388,350,429,692,841,758,581,162,454,388,108,062,437,804,324,545,298,
792,253,307,953,903,430,972,453,155,735,000,723,314,143,308,436,154,560,866,
367,108,770,550,963,365,221,873,946,671,478,256,100,208,194,999,254,276,918,
574,367,667,458,162,096,295,796,300,463,248,392,079,175,232,513,307,159,246,
161,605,294,059,686,524,408,177,149,672,840,926,264,916,903,562,668,091,659,
025,418,112,208,988,417,974,792,947,335,935,322,019,279,769,902,186,411,788,
631,159,797,814,936,810,816,919,310,438,630,391,422,233,938,053,125,940,909,
450,357,181,044,536,477,063,497,024,053,721,316,140,340,583,192,621,144,232,
967,558,410,103,457,842,141,065,254,842,295,433,445,758,467,273,931,575,392,
800,925,418,273,167,987,162,457,803,513,755,000,006,919,787,544,386,193,061,
300,763,278,084,522,142,046,119,105,502,427,261,107,816,112,466,471,820,436,
219,309,371,871,104,568,009,467,869,182,617,588,990,315,736,690,177,128,671,
680,828,670,451,084,086,664,877,332,673,471,163,088,399,682,582,392,041,628,
271,685,103,422,470,716,524,085,362,971,678,269,645,546,848,216,308,441,686,
892,260,584,235,805,321,553,820,508,101,056,181,471,075,338,800,215,947,198,
627,422,793,257,325,037,844,355,178,208,487,526,435,595,352,792,867,338,079,
231,632,050,323,581,326,711,735,122,916,380,179,861,901,867,992,366,636,820,
163,834,499,408,115,374,943,311,802,521,029,492,172,951,643,203,460,110,807,
812,171,267,172,060,492,378,253,036,865,362,542,527,778,788,462,415,118,237,
518,207,862,767,853,340,331,511,268,074,470,797,314,628,133,889,331,002,900,
842,522,123,304,754,860,682,353,152,422,531,362,780,283,314,360,476,653,319,
596,370,607,269,379,281,346,486,540,820,749,573,809,956,169,452,752,256,125,
115,287,177,208,021,653,408,350,060,093,050,918,945,504,194,254,707,282,652,
891,373,830,066,115,877,634,544,815,902,281,891,567,943,250,383,846,649,124,
817,083,910,872,042,703,859,974,234,399,547,373,581,911,259,063,723,526,946,
254,139,311,915,135,602,951,724,591,948,328,339,507,282,531,622,784,785,952,
799,521,871,928,715,159,266,772,727,766,582,222,023,500,405,562,783,916,927,
419,674,141,253,041,506,226,200,420,877,100,694,578,434,948,790,116,246,431,
725,624,141,616,552,563,141,599,059,226,373,927,269,116,381,036,398,759,291,
786,923,006,130,599,539,967,903,463,834,279,878,518,003,264,533,951,384,994,
688,346,496,070,018,822,375,525,712,958,357,688,183,745,230,617,882,506,016,
526,490,664,739,517,553,166,954,281,020,221,521,680,592,452,423,208,367,491,
655,031,318,049,461,192,148,377,070,789,001,179,348,886,132,308,416,449,151,
400,499,985,330,379,944,028,975,112,008,839,774,468,055,038,117,289,062,874,
001,640,223,011,392,232,352,302,539,602,707,641,359,997,243,386,088,380,247,
761,592,640,162,090,501,931,663,276,603,298,585,369,939,587,505,901,798,957,
926,346,545,241,229,450,085,664,684,925,613,036,180,557,231,492,567,300,723,
771,976,177,007,219,145,120,717,853,386,491,883,565,943,953,209,781,316,771,
172,662,473,765,718,588,977,825,721,362,025,198,944,379,636,376,701,201,769,
425,810,187,232,186,706,938,114,178,563,389,983,777,986,621,201,088,966,351,
431,782,259,036,299,645,284,342,645,286,999,351,250,376,562,155,078,538,064,
340,292,248,696,129,591,978,194,481,843,444,817,871,891,837,989,281,664,454,
683,437,717,394,313,273,953,782,278,177,880,637,512,709,294,184,449,180,447,
739,714,200,647,872,057,119,613,575,368,209,351,358,288,624,910,913,464,365,
287,368,836,374,160,785,638,423,613,261,513,435,851,299,598,143,187,458,824,
851,331,142,788,883,668,741,081,655,923,277,961,810,231,382,159,385,164,870,
213,679,463,592,029,415,238,145,231,624,262,082,137,188,963,210,319,213,703,
111,708,242,251,964,212,705,590,919,011,740,566,426,720,615,376,341,116,212,
486,850,470,560,474,836,994,416,782,952,216,262,624,834,366,706,649,444,924,
244,661,089,416,086,890,698,631,323,630,427,950,482,755,199,830,325,390,247,
346,971,379,154,219,062,504,942,507,339,695,365,840,431,431,486,499,352,646,
433,728,410,405,031,760,009,392,641,878,183,903,848,951,332,599,477,841,260,
595,968,959,888,144,029,963,375,403,666,870,364,032,349,700,056,977,686,477,
444,636,348,557,253,783,751,962,761,330,751,884,506,601,869,550,468,513,646,
326,300,407,369,191,489,518,319,556,699,974,154,197,714,938,231,197,749,511,
328,675,883,066,966,000,107,814,896,331,763,607,280,035,231,439,215,688,948,
313,581,205,112,453,179,070,266,211,163,767,406,346,990,832,417,035,043,961,
547,111,621,640,362,947,325,697,422,581,790,911,566,975,816,999,244,457,379,
442,271,654,935,414,829,387,187,536,004,952,626,877,302,509,057,052,333,775,
232,599,033,844,624,005,414,421,901,393,520,546,826,466,307,940,948,117,084,
240,171,304,296,070,825,382,541,318,643,563,901,635,594,923,130,672,166,610,
830,867,005,363,289,088,802,261,634,008,267,782,948,447,107,834,250,325,351,
478,637,191,318,459,494,869,800,399,207,586,141,394,413,068,823,645,443,863,
045,084,243,731,122,705,036,091,665,054,666,925,924,844,781,706,990,294,648,
295,377,361,258,967,438,974,047,811,687,485,470,182,698,844,497,254,685,011,
653,010,147,447,696,767,885,645,266,466,344,913,683,810,688,749,179,984,611,
194,107,041,126,695,873,895,953,552,762,641,524,884,738,706,113,714,733,244,
883,354,521,389,090,086,455,443,012,501,992,459,819,992,939,602,164,076,282,
299,070,266,243,978,168,867,768,298,157,327,060,646,001,262,609,107,177,154,
477,641,987,242,568,083,046,783,279,503,664,038,757,977,456,399,523,052,875,
163,988,509,283,560,384,121,504,043,788,233,855,074,197,833,889,990,984,075,
197,327,372,635,211,729,618,534,744,837,550,044,093,821,054,645,559,110,586,
086,662,839,187,549,668,499,158,001,566,524,934,185,215,274,308,393,209,087,
067,059,208,101,977,648,887,219,762,007,115,028,680,846,592,969,915,187,949,
452,208,556,730,012,964,494,440,254,842,332,696,759,719,813,242,352,708,961,
129,454,794,773,738,684,269,914,315,278,987,877,654,615,761,272,643,095,455,
227,089,675,064,871,691,220,131,781,144,317,968,356,104,402,937,192,697,416,
223,904,133,363,890,915,028,199,230,619,593,494,167,816,103,198,931,264,978,
537,035,909,585,382,602,107,136,543,408,961,080,288,199,691,026,085,020,178,
696,335,725,270,615,209,466,050,812,941,837,474,089,401,914,456,214,620,472,
747,497,836,867,306,176,583,486,326,405,297,167,276,598,984,607,176,565,426,
389,315,410,412,868,552,355,940,957,459,599,755,116,458,993,839,615,894,111,
526,166,531,069,945,256,594,448,748,163,053,716,928,533,684,749,110,503,952,
706,182,033,870,584,198,709,794,255,433,499,609,147,537,669,024,003,665,099,
980,055,912,096,051,760,837,678,754,247,104,115,204,401,860,490,668,348,399,
078,706,799,466,981,893,650,431,832,450,458,789,660,105,500,518,657,496,964,
010,170,383,717,695,306,698,659,927,495,142,231,952,655,816,297,796,321,443,
515,960,744,198,985,481,601,562,860,196,409,543,886,909,749,161,724,353,902,
998,668,336,354,648,179,672,552,317,725,340,550,577,347,840,027,415,065,506,
301,019,138,366,165,340,731,164,939,999,220,189,456,594,762,654,596,643,890,
918,433,010,308,269,389,759,536,984,845,190,135,337,002,375,529,522,283,799,
610,846,773,948,650,294,735,110,633,226,557,284,150,648,679,020,266,453,937,
367,079,448,738,893,088,753,821,685,418,719,855,017,144,864,125,493,415,182,
668,267,677,746,601,894,739,730,952,599,881,852,798,325,680,887,327,042,322,
678,938,442,834,496,562,438,322,712,503,778,981,693,693,400,610,289,265,215,
666,823,649,707,084,571,120,367,221,242,703,969,899,587,270,739,198,245,095,
170,554,055,184,223,319,009,300,586,519,307,074,623,210,998,801,140,240,850,
483,140,802,619,951,834,389,689,243,532,930,504,865,430,242,739,821,999,558,
480,381,918,622,595,243,769,967,452,810,353,086,034,005,313,028,257,234,970,
730,551,405,452,344,575,315,059,188,648,774,661,513,276,329,946,471,397,887,
442,247,302,381,487,089,349,863,294,581,509,034,433,858,318,262,897,252,737,
791,835,814,141,787,011,361,587,801,292,666,451,155,116,183,896,492,925,135,
226,170,530,339,755,368,514,674,605,774,208,340,045,136,069,677,686,625,705,
201,516,504,915,015,032,928,145,115,709,439,454,438,012,941,662,795,284,089,
549,424,217,050,785,978,334,420,829,316,834,143,693,045,400,583,484,896,733,
733,772,479,661,308,769,592,636,638,009,161,724,246,028,458,797,827,623,824,
982,720,706,767,764,871,918,066,087,704,344,055,428,727,841,616,825,382,911,
583,123,410,232,294,990,211,900,122,930,602,024,233,013,614,121,659,689,358,
608,142,717,071,100,844,274,466,246,472,647,474,416,338,262,426,302,283,073,
355,647,054,043,703,165,784,707,895,236,645,962,194,528,182,946,220,860,967,
428,015,182,767,186,319,464,710,494,246,489,495,455,692,293,511,486,834,674,
344,322,788,118,906,568,905,167,158,113,419,768,010,845,623,196,920,334,864,
242,847,927,039,038,011,117,259,692,829,331,692,131,213,763,241,742,211,451,
383,455,646,233,083,881,983,399,409,389,862,351,144,639,430,316,646,303,130,
616,693,418,786,432,167,282,092,774,782,709,241,839,200,034,420,794,577,846,
392,917,962,873,785,805,488,277,546,194,524,523,932,574,118,817,812,294,977,
108,418,782,082,982,202,251,365,108,044,940,899,502,874,011,751,405,595,121,
303,615,662,883,937,399,044,398,836,968,727,742,169,278,539,466,743,300,208,
470,776,357,830,202,585,393,322,329,490,227,156,892,790,803,935,547,720,558,
902,477,706,162,432,329,977,156,575,883,750,540,023,997,188,508,174,953,895,
747,685,310,891,552,541,221,298,900,071,457,801,114,564,491,648,402,628,030,
719,728,417,121,870,860,981,295,647,826,357,174,184,141,528,555,309,857,949,
802,356,321,540,835,554,289,320,781,379,076,353,171,954,473,503,803,863,574,
384,706,132,211,504,427,993,132,613,096,874,184,489,853,262,701,896,140,069,
282,486,053,996,849,420,802,424,884,482,154,758,003,434,514,624,734,970,412,
443,169,323,051,093,750,737,721,166,872,630,072,773,406,243,422,076,736,346,
336,399,319,444,607,875,869,325,504,555,469,999,540,692,590,828,115,924,719,
578,710,112,660,858,801,520,825,044,416,891,761,061,007,780,610,831,698,332,
518,158,130,441,732,803,315,884,826,645,061,752,038,304,359,353,062,594,052,
019,892,824,673,956,557,339,315,866,370,409,176,299,949,583,857,869,750,984,
348,538,142,647,252,766,522,209,082,519,174,929,046,914,438,803,651,329,274,
244,590,673,384,917,463,499,030,734,216,846,564,083,763,585,461,484,787,210,
776,992,864,938,697,112,519,121,146,751,225,454,646,601,953,302,115,882,744,
559,823,242,525,546,624,630,014,122,158,938,407,829,934,353,275,571,392,569,
342,397,487,082,629,222,599,106,465,309,112,919,492,874,860,668,642,603,223,
678,416,944,524,243,105,763,499,709,937,068,125,234,736,460,215,233,948,616,
256,344,555,210,234,864,834,667,598,834,441,768,867,399,151,994,114,182,304,
141,969,657,122,990,775,083,945,583,320,908,444,190,263,114,298,367,981,707,
045,879,821,260,009,967,659,264,463,152,226,648,009,533,151,583,731,116,759,
619,325,906,161,271,616,964,305,834,986,350,487,549,871,707,199,157,752,057,
424,545,070,207,276,994,280,373,405,912,447,368,418,878,722,301,769,939,328,
674,516,407,388,586,962,156,449,120,436,702,451,034,064,240,519,026,590,573,
666,431,357,989,352,734,305,384,655,251,947,047,684,207,468,231,252,286,537,
440,576,925,486,118,586,935,319,612,884,185,940,080,064,586,880,425,292,358,
883,990,519,328,017,420,244,306,842,260,481,823,137,537,495,151,555,231,809,
550,737,639,866,392,413,175,831,723,308,756,573,557,187,927,024,118,546,970,
991,468,236,597,664,443,505,397,955,540,254,973,027,539,275,506,528,421,354,
932,305,647,119,880,415,615,284,699,923,339,741,558,304,546,237,648,003,421,
167,328,239,294,228,053,132,881,416,298,121,004,214,382,923,225,948,646,420,
977,571,196,942,267,924,567,343,107,863,750,658,445,181,555,018,872,405,847,
756,444,001,836,855,142,919,007,812,527,319,489,891,472,815,681,321,698,698,
507,559,528,632,318,749,650,018,213,840,087,690,831,231,164,219,265,445,755,
861,750,344,204,474,510,067,624,510,400,285,883,271,707,190,360,064,189,869,
230,439,999,268,361,108,936,137,682,566,214,876,470,945,611,444,832,559,425,
893,309,996,739,934,926,006,345,191,577,475,129,286,990,914,127,211,325,357,
970,632,453,159,982,008,517,245,504,566,175,794,563,400,360,405,731,890,502,
286,912,103,024,850,888,156,852,426,247,871,325,946,182,635,069,974,440,763,
040,899,298,374,145,514,643,508,127,824,797,835,801,138,462,379,153,902,404,
745,897,264,457,272,964,146,432,239,236,121,160,721,080,757,646,993,969,637,
097,734,303,496,480,026,419,337,887,759,594,043,728,854,716,861,163,062,332,
410,768,286,352,308,108,728,095,424,431,160,714,259,141,989,364,927,052,996,
564,793,304,390,961,839,637,618,835,604,748,037,034,858,986,080,519,590,953,
387,354,756,564,744,834,561,509,115,887,263,183,579,846,502,849,903,810,217,
618,918,148,291,310,240,296,595,723,985,560,078,790,054,301,886,455,717,682,
529,273,641,001,158,966,585,501,630,408,317,104,351,717,011,226,097,129,811,
733,598,526,671,729,825,153,856,822,065,747,747,228,116,958,024,664,628,246,
397,672,365,652,263,791,566,795,006,683,545,131,547,468,655,626,401,363,496,
327,635,619,885,628,837,128,745,083,539,531,519,352,437,489,766,473,590,804,
892,250,674,717,571,140,257,446,554,084,996,966,477,889,725,091,089,465,102,
100,812,628,236,112,326,220,479,389,341,711,477,934,532,731,089,647,291,429,
490,437,818,623,728,207,146,959,159,413,044,373,064,327,057,971,014,505,339,
959,525,250,895,353,612,043,592,904,120,396,775,571,705,130,960,137,425,528,
984,316,241,870,545,225,118,050,564,587,908,780,845,248,282,383,308,440,999,
385,510,776,658,437,833,946,158,232,405,039,362,937,544,203,235,737,053,887,
651,566,899,685,972,197,632,585,394,008,835,820,633,775,259,876,489,775,274,
446,980,338,139,322,567,589,359,395,545,718,213,625,168,420,661,402,995,744,
187,964,466,575,115,427,372,578,897,978,224,793,516,250,258,015,509,553,136,
790,877,200,128,820,179,383,641,739,676,279,452,467,078,766,435,809,913,650,
131,084,668,365,795,519,157,327,715,865,341,204,994,620,101,659,455,688,248,
329,940,639,868,886,035,067,762,402,062,859,799,842,866,154,399,366,080,953,
408,160,502,523,851,774,902,551,392,180,724,359,374,375,533,460,112,228,524,
079,724,056,043,192,844,201,230,532,966,803,124,290,184,331,960,676,998,774,
299,867,797,646,945,378,526,038,367,742,840,472,188,312,559,867,759,133,350,
449,497,206,498,411,880,712,526,176,401,800,118,603,152,237,584,754,267,706,
403,288,193,224,309,993,036,178,706,242,382,419,576,827,457,351,006,271,206,
423,373,541,954,594,967,309,909,445,391,071,525,700,494,579,660,139,627,302,
929,950,050,428,832,553,481,286,227,580,417,074,563,760,419,451,300,210,995,
728,790,296,483,426,451,630,073,451,053,867,998,927,967,957,902,596,966,446,
370,854,737,251,126,513,730,928,133,138,404,497,116,244,793,677,455,516,278,
274,252,437,560,268,147,229,843,581,476,637,600,324,814,809,949,672,105,241,
626,224,913,495,642,222,070,353,247,530,930,039,829,429,867,803,890,794,107,
972,188,019,264,711,841,637,857,340,090,744,136,045,303,731,375,885,436,200,
590,303,506,982,449,435,766,186,131,414,563,237,487,475,207,349,738,766,116,
103,273,518,009,552,793,020,724,002,964,990,620,545,728,369,393,534,986,025,
442,837,039,474,229,628,758,173,573,024,169,018,672,120,760,391,797,047,186,
379,598,453,746,507,228,631,110,124,741,493,204,709,284,404,742,395,327,690,
581,262,219,897,097,172,138,457,573,329,720,637,303,732,431,542,541,617,478,
130,815,934,653,351,327,892,057,707,223,059,782,645,521,739,537,803,838,232,
260,843,922,798,328,853,442,214,805,114,788,233,984,352,370,707,907,077,940,
535,387,198,408,062,912,757,521,500,837,690,298,430,058,920,102,437,859,820,
375,253,206,299,042,110,752,937,174,108,134,060,428,712,277,687,636,039,211,
004,070,431,878,788,998,915,616,447,869,818,943,371,578,699,994,259,461,837,
430,208,279,198,234,369,360,665,312,186,670,501,276,810,642,597,060,782,715,
926,718,539,455,634,985,645,873,113,375,957,505,967,501,839,149,555,071,779,
845,636,603,529,447,758,610,836,516,294,951,585,765,190,788,882,481,880,319,
546,722,203,472,331,556,716,726,899,307,043,195,533,192,555,400,358,041,142,
575,363,649,838,798,485,567,172,223,415,022,189,597,721,833,538,729,274,027,
619,493,398,102,707,816,406,948,912,365,136,837,053,018,911,582,535,039,324,
107,809,597,486,509,060,415,766,324,953,424,525,907,494,908,862,917,392,513,
682,924,619,199,990,766,382,916,113,207,141,636,863,755,428,977,459,293,218,
172,987,068,913,522,464,722,223,139,434,438,839,432,923,752,094,195,156,125,
832,120,389,442,123,479,798,945,866,991,229,969,006,386,903,120,322,737,106,
512,235,102,580,270,257,381,674,006,004,795,853,966,118,276,773,849,666,633,
132,045,916,679,548,026,233,054,569,718,487,117,951,368,752,003,115,546,824,
961,214,996,026,162,889,080,225,093,041,137,640,940,977,815,598,030,021,687,
189,298,980,317,499,158,580,831,300,982,355,754,783,660,953,653,606,177,815,
810,352,704,272,124,161,117,273,795,968,024,742,073,586,309,865,184,070,261,
643,861,541,923,919,712,248,380,944,522,715,181,678,433,271,553,430,865,355,
473,128,660,495,057,077,761,245,054,053,559,074,280,630,955,774,837,412,004,
669,024,811,074,335,042,656,611,078,907,312,022,873,718,598,786,866,529,500,
093,082,004,953,696,991,264,988,135,584,300,105,889,524,628,692,227,551,075,
011,346,316,597,274,901,257,048,081,479,953,096,039,977,167,136,154,940,615,
415,593,688,911,268,011,613,598,554,427,602,900,151,942,950,640,357,729,844,
065,078,489,841,218,213,910,151,673,061,389,819,025,341,423,952,346,591,603,
036,353,249,697,160,683,726,767,630,446,773,591,577,198,732,306,702,073,195,
194,240,253,194,730,992,383,944,594,197,975,465,974,076,646,210,654,936,880,
374,594,764,507,029,336,156,464,210,122,433,198,269,180,129,044,467,536,495,
058,818,736,920,587,574,539,270,564,022,174,525,111,978,714,184,283,439,345,
094,279,763,467,924,766,020,306,464,699,563,725,790,857,137,084,463,095,635,
813,768,581,201,791,622,105,580,605,308,919,865,451,919,880,401,131,055,230,
304,867,630,174,000,577,461,147,178,820,565,186,430,659,554,831,244,818,172,
983,593,253,878,841,103,848,632,833,064,935,375,371,724,687,102,991,189,864,
861,348,830,804,107,836,583,786,345,666,221,245,766,610,902,797,811,182,471,
392,217,820,011,005,569,245,320,918,828,320,937,713,310,507,538,657,213,847,
696,077,156,996,279,493,385,098,951,221,195,615,113,530,018,791,081,702,444,
947,750,288,135,914,561,394,727,445,624,201,779,290,356,750,773,418,636,207,
649,290,478,386,695,332,087,490,376,833,762,505,372,955,911,396,155,129,655,
191,597,263,620,859,071,559,560,265,150,537,212,327,029,383,169,026,993,810,
393,896,049,356,861,976,657,011,818,536,242,336,145,860,465,553,466,976,988,
620,293,504,587,956,943,827,007,082,792,690,299,327,463,161,728,376,097,918,
845,248,307,949,298,936,846,493,046,679,576,942,906,153,500,399,414,779,153,
525,726,749,554,215,771,540,936,848,702,253,275,749,362,692,115,112,110,469,
437,123,917,825,127,547,211,884,155,311,996,786,082,494,069,167,401,627,638,
705,699,670,087,175,163,289,415,359,458,854,576,977,244,026,192,878,622,393,
658,209,604,490,233,645,268,985,665,899,931,801,470,280,489,264,450,008,154,
786,606,668,639,347,787,526,840,044,692,452,749,890,454,251,042,410,602,606,
996,708,252,927,705,967,925,473,345,429,939,716,758,509,356,272,597,226,718,
538,460,282,165,670,554,112,684,560,978,768,405,662,087,109,396,156,054,580,
308,299,490,350,052,762,815,934,352,516,326,620,880,823,514,753,123,784,216,
877,803,796,921,156,250,340,140,289,188,700,361,107,577,161,710,813,633,634,
533,563,525,869,805,955,979,698,435,288,432,704,452,393,169,689,988,365,150,
864,660,017,934,362,311,218,165,496,601,853,923,757,630,524,017,631,675,993,
855,134,937,146,444,917,896,558,453,027,493,752,754,269,629,424,278,378,640,
539,849,384,231,532,669,674,868,807,627,074,085,021,903,469,216,050,197,280,
114,397,577,305,967,096,570,945,340,797,733,481,629,819,628,623,504,404,606,
086,529,004,649,912,789,962,211,877,590,116,571,109,459,626,547,469,065,193,
203,569,673,053,502,766,240,979,709,332,482,342,801,317,373,538,901,477,763,
459,062,901,181,054,147,438,598,786,620,243,992,382,713,856,558,794,931,940,
752,287,137,966,608,184,873,794,208,708,012,104,473,089,749,771,662,304,822,
050,761,734,473,016,310,120,528,484,044,314,228,078,671,108,962,466,864,790,
309,313,122,610,610,977,152,385,897,257,448,907,926,181,026,581,328,876,600,
741,591,553,816,377,621,645,014,427,644,572,338,734,017,591,781,651,844,057,
448,598,774,875,859,693,181,651,882,915,968,387,614,091,602,308,678,509,983,
709,933,384,741,703,430,976,663,967,620,482,483,400,198,695,299,094,290,265,
149,344,948,890,550,185,132,936,422,609,738,571,892,977,960,047,254,999,733,
755,379,285,389,843,472,670,653,668,738,776,893,981,536,148,642,511,722,591,
583,067,311,010,040,936,929,782,296,921,937,992,322,077,347,527,219,865,997,
263,239,231,603,421,152,696,094,584,116,751,149,338,333,452,354,243,212,799,
977,384,571,574,430,792,697,299,861,312,922,331,079,919,631,931,900,912,844,
394,734,947,296,793,256,597,169,843,317,821,737,853,212,012,817,255,988,202,
144,609,785,505,041,007,809,093,421,975,113,185,069,668,705,857,443,287,893,
957,268,751,001,151,701,294,195,560,562,055,266,033,731,502,521,660,985,146,
341,897,482,632,149,152,252,927,489,623,950,713,707,834,595,782,900,416,918,
041,363,942,980,668,172,549,703,340,228,247,748,060,625,233,657,851,132,259,
330,564,332,437,256,746,019,823,341,479,721,648,941,056,060,083,809,649,802,
778,896,159,619,987,347,815,199,997,666,779,187,712,477,098,084,247,778,950,
704,113,129,359,337,744,763,425,274,080,786,597,225,939,649,009,069,826,974,
914,046,886,376,325,138,045,952,680,262,830,781,849,464,002,749,063,218,490,
737,224,548,614,573,955,272,870,718,238,456,847,412,074,525,104,511,896,880,
608,574,616,216,854,467,876,635,796,749,867,710,444,554,756,233,807,149,580,
917,595,358,193,518,673,839,732,099,942,221,532,659,409,209,784,487,177,745,
560,653,526,408,383,544,619,630,840,930,300,057,942,003,108,962,190,066,094,
287,189,071,197,086,288,711,787,924,140,281,233,554,412,352,057,815,633,066,
784,188,889,839,164,406,434,313,080,460,916,088,824,141,837,742,946,735,934,
398,211,669,005,470,611,400,895,899,053,689,168,314,737,645,435,825,693,568,
316,077,608,639,944,774,886,624,424,028,216,403,632,766,616,912,610,428,808,
794,620,788,969,758,729,508,285,151,207,507,927,161,098,819,585,344,076,893,
390,263,067,840,279,275,167,172,415,387,883,272,027,502,758,060,878,211,917,
455,348,370,612,339,899,566,174,905,009,290,276,700,384,528,797,823,893,441,
000,287,772,796,740,106,586,959,425,192,103,997,920,611,927,470,755,116,767,
850,315,767,144,468,369,340,320,824,347,504,459,593,679,921,855,694,215,085,
102,528,046,724,100,944,615,799,414,550,814,340,580,509,681,941,284,717,128,
373,227,586,100,159,367,186,271,923,268,651,535,655,938,522,322,316,378,537,
345,796,270,220,075,211,903,200,151,443,120,901,205,882,603,841,330,588,094,
063,151,191,527,869,466,171,716,310,988,224,483,238,379,905,616,488,255,551,
159,308,053,345,117,141,527,701,211,006,822,755,466,537,186,133,343,812,147,
519,253,396,290,651,618,737,611,113,521,365,827,868,718,088,262,718,686,375,
774,130,304,741,010,721,614,827,847,730,984,707,274,223,066,881,645,535,856,
081,296,257,066,221,216,146,412,108,349,482,126,504,426,451,542,969,209,598,
305,193,268,818,531,163,306,266,485,426,387,471,951,798,531,013,211,923,034,
035,729,376,636,500,402,687,549,783,247,525,286,037,050,402,085,788,952,141,
234,758,837,047,224,004,468,939,795,241,453,074,794,560,601,030,835,994,428,
821,142,001,208,338,597,371,381,493,829,066,679,729,243,389,469,881,714,280,
441,683,588,000,794,890,796,609,300,909,167,834,657,294,590,490,613,065,406,
043,967,319,882,810,831,115,516,400,353,905,864,395,209,034,563,799,327,135,
478,431,077,930,895,140,091,006,504,456,956,648,921,034,794,176,082,243,149,
125,272,849,617,798,188,824,247,604,887,084,733,686,555,437,327,048,637,818,
513,455,642,885,264,858,461,439,398,011,527,557,402,713,766,085,812,264,261,
219,485,262,380,131,318,105,731,205,382,994,497,734,750,541,941,711,332,868,
508,683,250,370,456,830,767,158,193,707,682,213,244,527,811,757,398,899,055,
835,432,956,550,915,843,150,355,060,243,922,205,929,966,807,380,201,193,433,
959,938,410,695,436,928,321,230,367,877,390,482,295,512,005,336,594,363,598,
506,311,234,396,957,422,499,978,672,576,945,156,423,873,740,382,388,315,137,
885,334,446,022,145,125,026,555,239,367,009,879,319,104,550,945,953,330,518,
723,354,974,864,824,146,371,592,599,131,799,549,868,292,583,491,231,181,808,
756,162,646,895,900,267,046,996,923,324,885,620,885,950,582,171,087,254,474,
778,123,288,997,787,681,787,025,910,230,426,421,938,599,788,723,150,541,893,
341,049,981,350,310,590,108,252,639,519,285,822,039,371,527,103,154,202,103,
369,806,804,997,727,575,817,989,667,567,717,828,190,673,675,903,949,548,983,
686,328,300,173,347,253,923,175,038,135,880,979,438,280,117,624,594,378,540,
212,268,278,509,302,593,946,509,137,387,630,663,944,370,526,251,800,249,293,
284,825,985,840,988,850,407,153,592,692,654,908,800,149,890,967,485,731,436,
987,605,144,585,235,581,306,745,132,138,136,430,265,594,166,379,163,946,552,
122,479,888,932,863,493,362,699,469,456,257,191,070,360,228,507,758,600,637,
309,464,958,056,131,626,538,930,033,894,694,129,517,438,853,573,900,955,141,
929,406,977,613,094,384,419,952,082,609,771,509,008,986,422,257,567,593,646,
709,895,316,920,404,603,726,729,206,475,578,748,240,773,798,677,834,902,852,
812,212,305,508,597,834,257,859,970,917,520,941,452,040,787,379,384,534,054,
767,380,963,294,584,706,060,600,582,209,048,680,800,817,518,706,765,213,649,
493,884,347,500,165,877,069,974,952,475,056,497,048,369,348,330,527,425,088,
348,350,107,080,187,888,943,487,960,393,255,327,447,623,713,449,296,838,457,
665,495,181,607,887,369,076,539,513,714,910,574,384,753,121,511,963,117,968,
008,094,439,917,072,158,451,722,171,586,850,779,162,882,866,487,005,886,272,
433,780,421,419,065,195,337,103,000,981,136,022,717,816,974,673,410,114,338,
822,116,142,073,698,747,276,006,217,691,202,158,888,723,114,927,515,786,744,
792,017,520,890,771,077,002,612,863,481,032,676,114,627,534,957,720,010,613,
997,620,045,286,728,066,072,042,378,524,607,643,666,234,573,299,982,210,770,
633,977,921,169,693,043,163,908,068,439,572,592,962,528,745,818,208,565,128,
297,748,415,845,535,760,562,583,628,613,475,525,629,799,636,071,421,402,358,
251,924,294,760,254,241,580,973,336,531,576,729,608,018,422,718,922,504,879,
916,765,873,014,485,461,045,663,406,387,706,812,976,132,670,649,538,955,578,
587,142,502,837,651,343,025,185,927,526,320,235,400,237,156,177,118,832,670,
794,853,659,695,698,306,355,517,621,384,329,316,727,521,244,002,983,340,486,
381,243,960,375,427,648,791,538,495,180,476,258,861,359,512,179,048,673,791,
963,868,269,892,458,281,979,909,530,672,174,640,444,640,043,457,448,967,838,
767,430,381,565,593,097,750,444,142,752,379,497,551,019,912,299,288,797,195,
023,974,236,774,539,685,850,297,754,380,525,699,712,023,657,284,650,030,086,
373,782,161,804,755,450,896,740,211,539,216,690,325,858,702,616,244,265,950,
454,913,713,081,576,320,713,238,680,587,274,005,829,449,742,753,425,302,324,
969,815,543,705,661,257,870,247,333,689,966,616,422,200,147,030,047,514,256,
131,215,939,246,555,609,851,886,034,487,326,724,910,991,428,639,679,701,941,
603,180,824,865,669,438,668,870,815,088,162,094,671,642,823,092,560,274,703,
393,875,697,801,317,621,823,853,503,737,622,412,921,789,418,455,043,702,631,
347,023,229,686,996,839,391,507,141,068,474,607,452,172,785,942,738,514,444,
299,851,524,438,489,712,248,132,185,990,281,550,984,415,232,137,362,525,357,
471,240,058,810,082,183,992,781,408,882,166,993,481,284,420,515,396,013,786,
212,428,417,701,141,589,939,694,182,468,388,702,253,533,439,255,977,370,146,
303,278,016,354,455,425,025,698,757,066,543,052,503,894,108,291,182,799,857,
576,797,784,784,883,757,090,944,422,937,635,042,122,095,056,357,678,545,864,
185,626,331,007,824,025,691,896,142,071,527,533,070,005,001,234,020,613,660,
796,668,352,405,798,070,095,501,682,030,091,140,106,672,447,265,896,360,759,
447,649,948,263,161,779,165,151,395,833,710,870,840,052,771,263,704,585,768,
430,003,839,316,901,800,060,070,260,005,941,460,180,015,042,022,646,350,314,
533,269,015,182,031,420,766,859,426,809,159,495,004,968,954,346,002,334,065,
761,393,084,726,562,008,047,907,631,246,685,027,280,052,854,474,807,413,802,
387,515,788,579,190,230,026,643,656,640,798,669,113,476,643,742,247,737,302,
940,296,838,028,229,100,887,152,462,344,867,097,142,900,209,241,235,412,879,
292,698,762,799,143,982,638,984,855,423,526,928,784,857,603,621,881,880,805,
930,904,207,878,303,963,716,860,508,086,707,114,167,353,792,760,864,801,950,
220,607,525,589,958,959,283,583,626,555,494,333,635,431,699,474,229,799,156,
831,176,369,900,292,594,591,349,846,389,633,409,543,612,439,042,501,257,406,
789,455,445,671,318,996,094,109,764,816,505,774,840,436,070,299,393,742,069,
011,207,067,963,590,124,927,091,393,038,036,138,484,280,609,057,948,460,662,
243,862,485,282,046,045,901,101,847,259,760,362,225,471,256,923,003,082,849,
974,170,988,972,332,970,569,864,289,225,145,048,061,960,150,741,278,956,430,
370,942,915,417,283,977,014,152,691,473,727,702,716,024,533,666,306,764,989,
168,490,368,510,542,487,495,080,104,365,111,093,320,479,998,361,046,392,905,
255,604,804,314,684,834,731,385,515,439,510,821,165,396,502,076,527,331,199,
617,815,482,470,075,541,477,898,022,940,016,434,999,792,126,407,706,537,039,
292,702,324,932,863,023,115,086,213,140,653,790,391,823,790,835,454,661,434,
186,010,505,766,119,501,280,885,936,006,701,427,679,592,749,757,178,588,030,
044,805,646,342,523,712,136,133,517,800,639,479,866,970,364,689,977,303,589,
404,173,714,937,389,324,368,191,142,017,124,949,743,258,230,221,496,549,067,
406,509,846,536,613,891,767,873,632,742,741,717,233,378,282,505,841,213,857,
984,214,721,541,373,454,448,963,917,345,188,766,011,311,950,359,846,451,711,
479,863,716,476,256,315,213,050,707,147,385,458,407,887,303,234,095,241,614,
524,899,151,764,843,210,037,386,693,885,622,788,304,114,268,755,790,770,954,
720,198,694,926,334,520,265,266,300,276,718,357,613,593,103,824,156,201,335,
056,761,362,426,300,989,115,454,371,864,607,683,965,014,600,696,545,666,651,
506,707,545,051,687,531,364,534,327,898,799,877,914,636,793,126,252,108,299,
455,760,427,721,476,461,386,422,175,573,553,620,651,330,150,983,260,086,190,
413,222,194,822,520,470,338,023,481,509,979,596,393,019,356,405,654,047,066,
576,885,899,275,147,508,703,769,005,084,804,921,890,345,178,813,312,854,349,
407,738,009,939,956,923,110,343,639,408,533,381,600,147,130,664,823,484,726,
000,391,301,940,480,665,802,613,484,848,701,599,254,998,664,958,586,677,778,
894,488,208,829,635,802,324,974,210,137,195,000,571,303,003,890,091,094,351,
998,695,620,532,106,685,172,861,415,308,287,034,974,814,612,601,801,774,528,
105,696,507,843,268,790,326,947,907,663,131,172,109,810,754,290,289,586,975,
848,166,918,119,759,009,508,612,190,350,390,266,149,771,951,744,177,400,250,
158,687,219,845,265,231,259,661,964,673,030,162,643,630,247,987,234,222,229,
964,928,786,254,575,757,826,892,709,463,998,477,836,717,973,828,940,348,024,
680,523,928,070,110,879,278,054,047,871,644,964,053,899,344,141,532,924,294,
445,157,817,197,956,878,697,372,279,508,870,627,354,288,175,502,723,757,414,
923,819,179,875,843,883,670,810,174,011,859,101,532,349,298,325,029,530,267,
087,121,260,640,040,004,153,858,868,833,569,441,997,463,412,180,257,376,993,
197,845,498,188,350,056,655,690,857,217,615,063,108,553,773,579,035,983,250,
693,123,348,218,967,054,805,792,257,637,265,780,475,967,549,948,515,704,918,
982,484,905,624,261,965,979,249,798,702,196,018,340,182,079,257,682,023,194,
508,875,853,801,717,506,980,490,769,911,842,096,258,486,975,670,814,061,857,
850,887,018,298,069,242,363,558,941,041,131,983,243,482,027,265,139,580,977,
430,223,338,465,704,714,001,048,941,284,921,181,086,236,290,381,097,279,015,
840,376,868,512,278,996,733,311,635,646,754,877,232,637,761,833,580,310,784,
963,183,746,710,003,574,682,368,584,705,756,411,206,653,586,304,162,401,059,
196,476,199,759,591,684,327,388,482,192,690,008,678,408,463,619,403,148,150,
859,033,446,946,049,056,146,765,312,285,496,524,799,549,891,528,722,576,171,
527,151,818,093,292,179,142,389,289,459,516,616,489,805,013,763,427,480,356,
880,868,115,286,432,066,214,955,459,515,151,729,982,779,361,496,467,812,761,
547,703,432,398,623,386,080,651,083,628,155,311,728,237,083,276,087,486,626,
215,149,200,776,273,354,991,956,050,868,821,266,190,614,106,622,562,510,896,
649,254,421,213,361,007,093,008,324,651,809,526,530,803,746,170,360,527,944,
977,519,995,572,206,280,102,640,536,791,024,550,856,547,540,561,979,485,910,
743,598,889,530,346,456,725,531,777,661,545,541,984,097,874,361,844,922,417,
773,589,368,161,293,149,699,221,057,000,127,159,951,979,213,621,274,884,786,
197,892,866,601,456,852,278,996,097,602,112,017,456,617,791,429,829,073,439,
335,946,191,856,355,768,163,924,058,997,712,223,440,175,092,015,657,332,875,
350,587,130,663,726,906,889,836,913,717,158,138,325,498,245,030,421,741,686,
946,216,284,554,648,935,439,479,402,390,853,774,411,137,055,859,688,527,283,
311,266,695,408,771,480,032,874,836,452,417,762,948,860,173,921,743,447,065,
962,610,130,031,828,655,117,582,504,942,992,863,898,818,140,301,571,778,150,
268,384,907,133,931,790,205,005,979,013,367,725,954,896,291,408,748,271,601,
492,716,714,125,350,694,940,043,516,858,779,785,067,108,072,950,655,885,391,
084,713,881,098,730,201,134,317,407,020,449,541,988,874,095,470,181,081,965,
437,725,022,384,717,380,964,461,660,303,177,316,023,631,072,834,104,877,485,
081,006,542,645,244,143,374,561,718,041,405,583,355,323,606,503,820,971,890,
187,558,176,470,988,263,066,515,080,149,574,169,933,769,075,024,889,408,233,
891,468,089,067,672,633,882,161,679,532,788,067,896,551,069,588,732,906,063,
059,747,742,487,900,875,085,470,093,113,785,422,195,688,799,520,649,435,512,
943,452,837,790,825,846,536,770,386,862,754,135,496,407,502,530,652,505,538,
052,227,604,571,116,084,714,755,226,474,779,285,439,742,369,935,721,472,425,
054,802,008,817,016,802,164,370,591,228,142,738,438,655,345,833,032,427,680,
963,134,794,803,597,691,898,630,690,489,917,622,593,319,526,555,696,308,462,
324,120,546,230,314,910,525,077,549,376,117,002,541,014,492,290,861,388,856,
821,998,372,854,171,228,919,162,184,323,084,914,906,615,854,931,814,185,984,
311,002,365,189,407,275,699,690,992,064,128,489,647,874,526,745,829,095,083,
164,782,555,467,010,328,438,340,273,560,911,571,318,153,150,603,079,673,069,
328,561,001,509,897,981,934,232,409,770,358,720,418,072,772,473,684,988,607,
781,738,876,314,678,367,749,323,511,447,070,885,177,571,097,243,203,196,661,
501,296,551,663,388,644,669,551,481,042,359,408,948,135,187,903,102,890,420,
262,501,223,172,807,772,753,539,934,604,844,832,278,473,042,365,172,777,068,
832,183,199,210,596,707,729,283,946,204,624,499,398,725,256,703,780,472,104,
113,217,356,220,226,692,534,698,727,606,644,503,825,777,957,689,546,511,784,
993,200,722,674,185,646,011,109,350,786,590,967,973,944,180,677,757,314,713,
192,602,519,982,652,024,342,111,430,703,171,596,889,802,476,218,772,573,390,
896,102,291,995,501,850,210,192,267,035,758,142,661,426,093,406,533,324,272,
643,108,730,950,892,983,779,047,323,175,344,776,749,495,314,914,497,854,145,
706,080,726,412,715,043,025,422,602,842,299,228,827,076,286,134,463,409,213,
072,232,473,039,284,514,043,936,401,552,769,046,058,600,828,891,347,322,094,
869,466,793,481,270,716,081,199,674,032,942,534,348,848,116,033,580,988,049,
801,278,125,040,527,056,292,394,007,129,160,226,867,885,025,264,644,239,774,
508,376,353,906,814,636,579,923,622,219,806,062,256,155,516,369,342,766,621,
964,709,175,871,606,034,576,680,783,366,968,673,604,824,080,795,014,448,080,
415,733,092,842,891,956,610,667,352,016,848,076,250,519,293,390,499,876,887,
200,200,475,239,388,883,437,979,004,449,168,296,793,027,540,696,444,908,494,
498,654,378,517,253,043,025,567,065,195,284,848,522,403,931,446,069,245,833,
298,914,159,814,899,692,881,260,453,854,440,890,246,138,474,659,926,867,933,
816,563,460,557,329,724,076,441,728,939,242,279,926,659,241,271,843,666,962,
840,291,367,483,917,802,444,009,154,484,844,309,254,855,655,150,736,549,933,
902,698,125,903,979,221,786,112,838,031,730,924,893,033,511,204,347,925,521,
054,558,629,085,193,125,714,236,070,275,764,739,558,790,114,958,558,726,121,
760,817,794,956,416,290,457,774,139,024,776,894,862,543,180,922,201,256,544,
577,515,608,314,363,908,369,864,868,576,664,693,103,121,161,116,505,140,296,
441,118,503,142,591,282,097,671,712,250,448,055,501,307,169,928,496,103,551,
811,185,840,135,595,892,036,332,595,773,464,027,047,793,623,095,677,030,469,
088,379,359,610,573,714,883,304,571,808,118,670,644,107,021,709,613,809,516,
370,073,306,522,105,134,614,205,381,534,890,181,990,199,043,134,809,574,566,
142,567,661,509,329,503,910,615,502,207,402,914,953,486,271,098,826,634,320,
549,866,539,194,686,790,611,400,414,032,817,934,568,171,460,391,112,383,988,
981,525,718,035,713,362,558,718,239,344,601,243,690,888,057,100,287,589,695,
989,417,018,234,677,903,609,430,497,480,295,549,977,723,343,831,314,452,623,
361,755,528,247,074,274,147,188,332,289,980,928,655,454,580,538,673,108,249,
110,357,781,770,723,537,358,575,540,816,404,134,966,575,135,118,974,881,321,
755,905,365,970,885,753,156,084,604,490,981,515,319,007,194,970,338,132,309,
378,099,240,330,983,770,304,778,439,543,374,891,174,996,734,209,216,522,558,
201,083,875,250,857,424,696,643,935,694,108,817,002,938,544,011,509,982,503,
496,295,249,929,297,307,346,993,132,261,798,674,009,372,588,887,107,436,444,
035,066,156,754,391,797,740,043,778,317,497,159,585,414,271,944,951,955,192,
323,688,984,221,706,357,587,713,983,412,243,322,828,588,744,997,220,278,084,
116,786,779,753,418,138,057,149,574,570,853,455,890,543,100,706,305,364,063,
285,205,130,657,620,920,661,410,084,005,901,582,176,310,594,118,951,635,548,
675,936,135,845,220,632,194,385,990,229,042,116,773,377,719,178,489,281,501,
537,898,582,615,655,562,062,707,901,346,153,507,852,352,172,256,931,857,020,
154,394,217,197,540,959,459,432,797,993,073,442,895,159,486,757,750,466,876,
375,799,498,740,654,797,976,512,563,817,860,858,259,234,641,312,913,382,456,
408,739,525,214,129,137,711,691,151,109,295,015,286,059,363,197,787,437,134,
723,499,464,934,715,229,314,263,023,713,296,810,224,030,372,877,349,086,854,
368,362,387,287,230,572,285,079,188,904,770,998,890,696,622,874,492,855,377,
565,057,093,848,528,995,769,192,023,473,044,986,878,086,130,818,202,619,359,
163,630,411,774,632,252,340,788,468,823,689,020,051,425,371,977,209,436,622,
029,339,394,330,125,309,727,145,334,318,179,096,243,032,498,501,800,227,040,
606,621,392,233,732,001,748,490,748,565,961,900,516,342,683,588,175,828,867,
734,914,835,565,144,217,684,517,087,521,458,963,604,115,913,259,680,833,189,
754,253,512,173,031,294,191,279,546,074,398,163,432,388,166,662,781,191,903,
249,100,411,552,913,926,210,656,419,815,166,641,502,019,829,470,882,833,463,
787,361,027,605,800,620,921,052,209,054,804,679,928,248,899,498,837,005,666,
168,764,160,423,424,330,820,435,961,172,582,000,287,216,104,025,271,450,801,
879,775,459,209,818,235,607,795,043,649,574,932,407,275,675,640,503,968,151,
891,909,085,201,925,312,044,986,412,818,362,215,404,671,124,190,521,926,050,
062,753,574,750,233,072,711,674,984,099,561,925,472,902,729,813,335,132,409,
226,700,351,942,870,085,761,564,463,447,139,216,103,019,253,483,738,247,489,
409,430,146,963,943,793,934,614,002,579,958,467,161,230,677,847,873,304,874,
686,893,757,106,913,606,212,008,076,241,248,835,320,190,402,215,765,537,641,
868,344,157,596,658,196,922,002,764,723,339,316,748,429,958,562,694,139,941,
954,129,591,947,967,947,314,594,264,631,332,526,352,904,888,557,712,842,186,
526,864,964,460,074,272,279,238,424,476,924,443,251,350,857,409,367,189,914,
690,724,077,224,058,622,565,854,896,953,078,178,698,518,276,498,228,753,300,
624,045,851,687,568,871,084,287,587,438,375,929,986,891,575,412,667,787,270,
085,047,692,133,411,519,388,315,092,660,352,372,279,439,235,797,336,289,689,
943,495,042,557,747,666,811,119,539,882,219,032,580,160,766,118,117,461,212,
808,206,215,185,162,340,672,078,640,032,087,679,243,348,255,866,343,536,167,
463,659,443,824,736,502,041,122,717,050,703,694,854,295,256,954,268,604,923,
661,878,783,216,085,496,195,581,751,282,928,405,673,541,065,562,201,993,186,
381,261,381,281,722,142,462,192,487,192,691,006,967,675,192,298,752,960,389,
589,981,263,737,549,819,680,572,008,418,275,542,872,309,400,904,878,220,276,
510,507,086,768,584,097,755,290,870,943,194,497,438,418,542,946,625,278,146,
257,598,245,294,908,461,684,664,579,585,268,376,254,336,879,245,607,787,519,
871,011,276,018,068,443,284,260,836,874,519,528,089,527,110,730,336,456,040,
719,027,103,321,283,241,314,398,477,298,803,563,889,468,983,320,576,153,525,
628,554,261,833,063,000,632,730,794,985,170,600,038,254,374,688,445,464,774,
193,727,456,336,602,877,932,956,253,678,012,531,556,497,788,262,210,553,956,
282,422,196,063,743,734,598,864,423,660,527,292,583,789,932,557,190,620,487,
506,801,583,442,365,424,473,374,123,773,425,972,473,179,808,768,412,105,168,
561,920,051,604,950,635,949,118,722,342,432,794,926,173,777,129,469,409,484,
852,654,213,236,726,807,907,086,357,511,052,890,375,497,466,493,755,444,179,
788,062,489,124,059,146,324,546,103,346,721,393,616,494,049,505,277,244,928,
914,511,769,879,564,303,171,875,744,405,829,467,597,581,861,726,013,490,117,
551,720,980,181,651,606,712,324,807,256,117,239,637,998,021,019,149,912,543,
670,727,736,508,367,049,980,106,534,094,464,213,761,191,401,175,724,474,662,
641,890,365,441,739,585,551,833,876,054,850,157,219,473,898,009,825,817,395,
333,412,403,969,260,194,821,762,770,480,531,897,476,076,641,805,511,180,707,
937,466,877,537,222,947,171,422,935,474,804,764,783,470,699,610,246,969,658,
406,373,170,783,932,040,232,762,560,360,615,023,404,407,686,991,624,894,961,
635,688,301,135,217,225,572,389,782,973,208,289,150,494,703,948,544,004,005,
297,653,010,262,372,167,527,995,475,160,400,750,804,581,691,117,011,551,620,
305,494,754,859,060,215,613,298,277,438,350,734,124,723,269,683,463,013,687,
561,025,622,525,461,721,961,548,012,016,782,007,610,275,341,134,223,499,543,
092,464,409,458,394,631,842,200,196,277,654,299,129,455,481,641,700,143,315,
080,884,833,542,614,931,945,821,489,814,136,207,362,560,568,243,920,282,539,
703,055,307,091,461,020,737,922,282,528,339,193,833,251,431,550,552,338,995,
148,484,463,233,972,209,883,440,013,291,509,507,291,988,112,610,188,592,615,
762,278,845,559,806,551,414,101,165,393,417,676,623,386,562,738,462,070,770,
643,518,101,873,935,017,977,851,932,051,930,111,732,955,074,927,501,203,567,
693,456,473,812,779,091,330,508,993,783,249,693,302,659,310,128,169,677,041,
417,668,101,682,878,701,428,411,980,144,786,723,976,839,414,542,143,464,757,
964,318,394,035,607,718,450,035,915,886,988,725,786,208,398,998,974,311,474,
718,420,118,276,212,518,863,478,713,223,881,692,941,569,582,758,445,351,677,
919,381,692,880,816,465,568,174,136,411,703,191,033,630,609,467,627,670,424,
302,530,753,151,964,425,881,346,286,501,949,355,569,338,076,071,271,716,753,
699,114,305,206,613,279,990,630,896,363,608,830,771,047,362,268,226,666,026,
302,529,896,109,355,705,145,894,619,502,935,741,353,496,709,340,799,605,177,
730,656,958,052,198,722,034,947,706,695,099,613,677,700,288,566,586,692,489,
450,657,940,640,705,567,073,735,511,323,153,618,143,431,379,427,993,399,001,
628,254,526,606,988,263,729,219,574,063,499,110,449,116,731,342,118,405,906,
760,667,962,588,084,431,969,611,012,035,029,073,009,600,604,555,787,416,167,
607,896,769,651,795,790,165,287,227,151,997,167,916,853,936,713,915,779,369,
511,304,284,402,594,416,727,961,022,321,827,106,829,056,151,795,188,386,738,
973,706,500,612,964,737,397,071,682,053,083,372,395,806,436,860,706,718,217,
543,113,990,298,405,904,023,107,526,847,281,321,276,368,156,335,442,791,048,
957,519,526,795,382,711,770,013,339,764,137,411,704,311,457,884,711,346,445,
619,732,404,384,624,136,889,870,925,553,828,028,788,424,340,806,554,284,017,
422,765,197,174,506,121,032,845,837,482,491,414,527,126,839,460,049,950,521,
791,389,506,358,680,214,135,941,595,242,417,244,383,460,491,660,598,638,693,
023,068,438,045,761,493,552,960,174,191,136,386,066,761,174,371,297,645,406,
692,866,048,851,350,397,331,889,565,886,131,737,231,984,394,969,173,898,343,
637,424,553,128,454,995,103,226,709,898,514,322,538,238,379,472,983,348,725,
511,764,950,967,936,798,448,007,778,335,637,339,794,691,772,593,666,170,971,
999,634,257,607,907,722,280,614,570,140,100,698,156,376,715,009,252,185,603,
691,831,323,764,859,047,753,504,833,395,951,669,768,129,251,737,703,931,575,
823,778,453,104,483,624,265,535,705,589,979,640,847,051,663,129,480,888,525,
931,149,132,256,481,508,584,207,355,353,402,286,814,586,613,223,524,528,981,
592,357,060,822,422,941,657,436,261,582,391,409,493,739,967,324,701,625,446,
596,217,066,686,270,247,932,337,559,784,478,778,923,388,553,684,209,679,634,
150,497,620,159,574,398,815,274,434,756,956,939,822,538,090,852,704,328,232,
891,586,330,660,350,330,404,040,538,813,437,977,727,266,617,392,094,097,654,
375,756,354,651,385,996,389,618,574,512,444,336,053,084,866,546,686,866,029,
858,189,646,264,810,129,444,577,482,046,213,415,403,073,821,343,599,397,433,
367,209,262,996,896,386,051,775,606,359,525,926,361,415,601,337,033,234,888,
304,357,059,527,647,966,760,134,397,428,267,580,442,068,653,618,395,304,597,
426,890,113,141,477,929,360,351,524,025,167,765,789,436,504,530,463,666,501,
732,006,973,180,689,204,576,671,515,056,506,186,332,398,364,757,545,054,013,
239,738,655,713,413,964,855,155,161,431,855,902,788,885,734,271,115,000,275,
211,928,457,186,797,014,778,433,481,143,569,564,024,333,436,443,941,752,854,
058,600,848,046,244,835,195,634,486,387,621,221,787,995,427,035,941,791,997,
415,966,143,331,026,504,132,646,623,115,361,849,714,714,245,354,372,791,455,
194,171,710,117,498,691,831,471,772,228,309,421,323,812,939,751,647,091,572,
683,773,334,319,753,819,112,703,797,084,005,077,537,274,344,417,762,177,298,
725,145,877,977,520,363,574,983,766,172,261,945,250,791,790,920,621,602,724,
543,348,310,074,001,982,813,576,731,940,274,006,462,791,088,877,710,671,627,
704,468,811,021,473,247,585,753,336,035,725,600,874,059,145,753,394,988,227,
718,090,305,634,385,168,374,227,646,442,046,083,827,378,264,797,648,290,226,
820,400,941,532,798,418,068,208,599,671,737,538,301,294,212,069,321,448,420,
514,136,139,182,950,763,257,805,512,765,064,776,613,631,089,853,249,580,031,
630,003,979,055,080,102,716,194,829,415,022,437,709,324,422,318,038,968,430,
459,539,164,711,383,115,934,067,942,623,041,620,287,105,611,739,224,324,130,
533,830,933,610,590,166,521,311,557,834,943,257,589,736,094,076,376,142,760,
772,618,716,721,610,006,966,555,272,842,630,951,994,705,887,256,099,626,362,
087,370,789,189,969,495,057,576,901,405,383,981,731,263,814,864,156,553,475,
411,136,393,004,361,733,713,625,431,193,715,497,545,401,344,329,173,520,690,
958,809,984,026,425,669,472,940,004,135,923,115,271,870,875,091,884,699,798,
732,019,343,921,831,486,043,248,524,661,351,986,129,546,873,997,282,832,652,
484,098,100,648,283,295,586,686,902,130,444,314,108,423,310,532,479,031,316,
266,290,767,075,422,755,268,310,446,691,744,626,210,934,738,177,776,223,806,
392,357,599,240,268,314,246,144,623,860,400,992,415,986,274,044,888,001,478,
451,640,403,463,922,283,045,652,218,664,209,123,728,375,526,488,284,739,159,
339,939,339,790,359,239,632,061,712,394,320,070,602,852,056,716,790,967,950,
694,253,453,334,396,692,122,179,409,339,911,456,960,241,346,475,944,711,005,
343,103,191,235,292,955,353,886,211,543,239,972,921,859,923,160,411,830,651,
794,001,462,229,129,263,622,886,662,581,293,440,414,900,630,025,423,545,403,
782,895,638,812,551,890,298,314,239,680,881,811,200,905,984,927,268,338,670,
633,109,035,644,723,159,119,655,425,116,910,049,226,498,402,646,403,553,072,
078,323,105,856,623,097,717,249,387,848,217,346,387,700,865,642,598,326,782,
432,589,386,323,406,158,754,365,890,312,749,071,841,419,517,759,749,478,896,
836,635,404,154,389,508,310,415,326,126,827,736,855,531,305,184,074,260,162,
848,913,357,296,130,461,987,544,659,319,894,732,833,604,398,703,230,874,648,
279,651,182,388,876,378,794,923,970,536,505,573,448,232,262,675,973,500,509,
707,227,177,406,751,110,808,600,517,493,772,214,746,147,621,183,978,543,631,
432,378,572,182,704,355,425,882,532,068,128,511,170,637,914,643,883,849,307,
327,117,172,918,856,718,689,184,516,353,457,189,045,546,857,410,317,007,640,
257,942,629,249,295,240,067,523,583,275,810,604,829,113,786,427,078,561,715,
783,985,543,748,678,042,834,746,653,350,238,614,863,221,454,150,968,127,741,
862,365,829,795,657,312,216,394,357,659,350,894,203,931,275,654,918,435,456,
693,992,831,602,123,267,210,625,298,581,919,452,520,482,427,562,275,548,869,
275,482,244,563,750,484,368,452,186,006,606,811,636,151,538,813,630,842,080,
804,977,747,282,432,751,123,664,276,879,228,992,146,342,217,897,521,004,850,
166,324,342,474,494,375,043,728,897,705,682,118,456,916,042,948,814,276,465,
615,431,373,493,369,791,112,269,650,297,588,058,834,449,865,222,406,302,224,
324,121,228,275,345,159,851,030,119,943,283,039,828,094,644,289,080,242,073,
105,286,720,432,620,279,539,008,549,515,408,437,728,527,955,804,086,990,657,
078,902,856,385,515,878,819,962,098,832,513,324,960,071,980,996,320,159,844,
818,744,034,264,746,278,644,148,717,861,944,323,466,573,447,769,290,674,990,
949,337,512,953,949,534,316,440,917,108,396,892,914,558,414,172,693,356,209,
470,672,993,214,314,630,198,747,706,030,704,827,294,487,977,240,858,020,672,
700,931,845,785,914,657,753,332,246,595,570,797,699,229,351,055,090,368,750,
624,740,154,958,748,834,620,499,929,228,817,799,574,709,261,356,632,146,743,
811,050,256,841,693,719,916,097,805,145,172,504,761,688,294,556,273,018,138,
498,731,998,164,245,442,432,577,688,754,736,761,428,450,917,465,505,883,534,
538,239,832,764,798,705,243,490,802,677,802,004,661,225,944,476,330,812,749,
663,950,456,716,581,401,842,422,982,051,352,607,116,290,404,428,808,121,825,
659,092,908,627,549,025,597,223,429,689,451,233,185,651,891,403,490,132,237,
488,929,505,012,858,107,734,303,870,620,906,401,635,314,263,368,558,979,536,
621,324,186,363,843,614,222,721,163,728,142,830,598,986,178,450,332,000,313,
953,335,284,481,106,570,966,870,145,892,556,906,402,517,936,823,462,877,892,
786,899,338,762,649,984,201,668,742,524,485,777,277,639,042,771,605,299,488,
859,231,416,376,725,459,796,061,812,377,431,632,457,686,584,625,229,533,288,
988,090,900,498,736,540,017,528,364,092,016,130,791,685,184,762,322,755,365,
489,994,593,451,310,807,114,047,445,338,556,717,357,140,608,036,988,630,811,
949,611,896,209,949,174,650,404,683,002,877,380,016,912,809,259,284,660,513,
979,907,600,959,797,038,591,342,274,011,417,781,996,268,674,845,096,868,118,
816,599,383,560,878,779,915,647,697,535,771,196,375,925,711,654,018,826,639,
722,708,162,178,432,330,947,927,569,260,653,790,795,909,371,874,711,008,656,
812,632,311,241,472,996,281,765,707,718,832,408,266,676,336,328,903,747,645,
562,830,803,191,867,848,159,088,808,910,178,728,090,199,518,988,415,295,306,
829,528,491,480,346,175,748,818,304,938,155,190,334,602,778,945,431,136,518,
689,640,457,292,367,922,382,773,360,813,596,292,167,688,432,727,843,919,394,
280,918,537,965,695,004,697,997,094,135,349,511,173,160,081,579,368,368,463,
709,754,979,557,878,712,022,602,280,667,179,680,643,321,837,141,784,450,266,
102,604,301,612,228,526,060,995,792,313,940,223,830,317,418,027,057,240,261,
090,606,898,537,540,449,537,519,436,956,976,018,485,973,599,202,972,128,310,
552,103,322,014,747,413,327,417,436,804,737,345,524,027,273,087,471,354,670,
525,757,584,207,888,378,599,747,868,968,823,525,522,840,340,759,876,382,474,
720,695,323,050,653,960,315,434,903,604,551,067,652,453,998,161,441,923,999,
861,717,384,038,675,408,994,571,762,921,146,363,541,526,695,639,567,190,470,
061,315,908,163,975,528,838,836,256,144,710,961,316,541,318,768,532,700,779,
681,362,027,682,925,213,657,576,637,492,095,486,466,538,297,913,593,529,152,
401,453,326,085,666,329,213,704,188,440,009,545,493,731,155,699,516,896,558,
457,089,030,945,111,553,361,615,693,965,460,394,358,182,127,502,863,562,802,
134,116,986,385,034,669,920,383,674,038,466,258,429,479,643,424,530,269,176,
465,489,298,257,256,487,898,745,083,574,547,577,641,733,296,399,676,193,381,
278,077,669,663,986,066,489,961,170,020,901,597,915,141,402,083,262,630,601,
349,505,535,896,502,708,940,762,511,165,638,596,596,637,904,344,640,209,323,
528,083,404,140,032,043,842,759,613,779,489,059,100,465,367,050,164,573,867,
653,632,016,076,719,844,351,379,327,581,953,631,461,893,111,712,253,084,626,
028,950,420,601,276,076,359,404,285,427,558,711,377,369,027,563,035,219,911,
838,808,520,884,659,497,196,978,648,395,477,705,676,282,325,369,482,257,945,
239,308,107,169,601,746,967,124,021,130,803,167,644,911,732,763,229,219,520,
368,194,501,447,582,751,440,066,306,327,487,072,342,862,867,370,091,122,690,
994,099,371,857,384,028,913,425,042,691,850,355,646,305,846,821,177,220,487,
526,041,880,666,321,083,820,698,122,587,084,730,898,031,383,053,441,001,185,
729,219,360,870,600,962,268,424,798,354,958,134,150,548,502,986,847,136,440,
218,535,147,118,728,501,429,905,619,980,603,892,499,233,442,862,469,556,881,
449,376,897,860,266,655,008,508,121,375,667,595,686,303,945,426,468,171,487,
920,608,154,327,152,562,756,923,013,450,570,006,875,292,469,704,993,292,272,
638,124,851,659,306,069,924,116,154,354,481,460,257,334,820,488,115,095,889,
465,273,730,414,120,327,273,950,766,304,424,491,990,345,538,295,239,189,079,
234,578,504,633,006,595,474,018,799,619,045,357,859,037,182,163,060,021,974,
225,016,684,748,106,690,091,584,318,735,506,691,299,401,054,993,571,978,040,
385,529,250,746,603,000,558,394,846,501,668,729,410,258,881,908,785,825,523,
885,771,956,317,093,426,666,691,944,278,294,474,501,158,649,440,337,045,612,
727,910,424,224,566,645,678,390,914,523,830,228,006,423,190,439,331,179,493,
357,326,081,664,809,594,236,908,487,142,265,263,708,407,156,497,309,360,979,
198,240,832,680,741,759,828,212,312,673,640,657,741,829,435,291,227,197,607,
851,457,816,185,624,156,181,197,494,844,952,599,805,208,132,276,536,729,493,
866,318,416,727,933,520,522,990,890,876,574,865,789,905,563,447,156,382,268,
794,400,448,602,964,197,635,309,341,077,334,087,127,319,907,313,587,593,557,
856,931,581,711,630,277,826,969,073,539,528,165,487,817,013,043,471,708,074,
688,486,655,259,543,188,464,955,655,541,010,289,789,359,473,540,664,139,387,
180,650,719,311,595,003,148,794,803,158,003,628,986,479,794,779,047,870,966,
723,419,103,067,860,038,751,728,828,527,592,966,636,633,026,053,882,856,210,
001,927,194,356,752,704,358,459,110,860,456,175,797,037,548,924,005,836,030,
896,363,454,029,898,805,366,035,879,199,064,012,358,546,454,699,062,466,702,
278,737,714,148,378,288,603,197,924,585,339,099,978,543,916,340,774,434,170,
477,485,139,326,335,616,734,102,411,376,606,969,663,235,096,653,932,682,586,
246,572,848,712,291,974,000,160,661,241,351,844,983,677,843,569,506,365,200,
045,353,999,952,446,594,478,612,530,665,684,623,203,775,528,197,682,189,397,
093,556,501,617,480,333,651,459,776,938,701,279,660,807,267,224,552,577,338,
374,298,812,533,725,022,905,277,936,205,956,632,048,574,080,899,347,262,211,
597,366,198,341,206,700,412,523,238,688,212,997,105,114,736,988,234,069,259,
491,312,091,323,816,604,471,148,877,724,586,768,656,265,572,041,761,276,843,
385,009,372,785,735,508,665,700,249,685,557,934,646,542,778,971,166,963,771,
920,975,244,788,213,863,810,486,706,069,194,489,240,779,003,884,169,147,080,
691,150,897,098,499,537,153,752,748,880,858,353,242,863,600,638,425,425,889,
626,403,256,782,907,951,960,396,021,998,625,346,224,293,387,639,057,429,038,
661,725,806,767,737,188,221,798,212,379,232,155,306,745,811,531,108,303,972,
679,000,289,086,893,833,868,870,553,883,606,909,275,722,809,383,768,852,981,
986,280,235,123,900,016,589,753,050,991,573,732,542,739,726,266,745,263,014,
748,471,956,119,861,332,098,657,906,605,483,199,090,709,925,109,793,888,323,
903,766,704,665,230,764,214,108,699,468,438,388,277,508,102,801,549,812,977,
598,313,032,827,510,163,229,821,891,565,594,859,466,602,290,581,523,665,551,
594,746,417,596,468,940,969,485,211,817,459,060,742,442,959,882,534,119,085,
816,482,722,754,204,601,132,030,321,250,661,496,620,851,158,041,782,303,298,
729,686,491,982,488,900,454,545,012,880,721,404,232,343,665,903,655,125,393,
585,724,376,200,545,593,683,199,621,908,274,000,570,616,585,160,031,775,001,
240,064,032,961,334,338,907,308,334,416,546,402,947,225,630,783,653,453,806,
432,090,565,452,010,629,599,883,426,976,278,388,115,298,055,710,905,118,788,
377,476,365,894,975,364,153,504,054,449,587,151,057,966,473,413,501,363,080,
205,821,617,158,920,092,493,682,935,517,251,313,518,769,048,017,008,411,905,
009,508,018,982,166,670,299,393,081,522,795,204,156,780,758,205,865,527,164,
652,801,007,340,438,490,685,363,066,755,747,808,794,251,552,060,244,484,405,
035,257,846,419,045,449,370,715,809,862,590,610,919,869,639,721,712,201,984,
891,810,947,968,898,442,789,700,905,457,219,561,545,828,285,751,080,367,118,
793,615,654,589,123,545,871,549,088,091,805,838,037,503,351,998,426,354,381,
133,742,597,836,252,025,657,100,173,668,507,345,684,445,374,275,308,701,026,
913,647,369,066,179,171,801,258,173,642,647,650,950,450,343,329,730,313,078,
556,500,476,188,984,216,379,403,132,837,146,073,690,200,613,774,593,441,850,
800,294,401,705,195,155,556,520,186,554,345,760,259,726,938,088,820,128,917,
151,884,653,567,270,924,330,502,856,807,465,593,998,509,243,833,870,481,008,
934,314,144,117,060,798,525,524,534,626,898,692,062,608,660,253,693,540,275,
740,636,325,458,315,716,016,593,468,154,004,565,351,300,994,383,937,612,840,
550,624,290,837,901,879,255,664,263,088,319,885,083,838,571,045,167,637,189,
287,017,961,759,915,853,750,736,919,817,737,090,347,573,773,385,221,716,118,
849,377,398,355,388,022,163,008,781,171,709,910,533,414,297,796,484,627,699,
430,309,733,651,544,251,721,433,965,894,494,969,642,908,495,225,079,408,463,
980,715,985,794,873,711,542,423,999,705,093,125,395,911,090,832,570,862,593,
905,905,018,475,723,249,971,259,376,676,290,911,409,729,907,685,449,548,821,
659,979,180,078,336,728,602,541,808,800,112,162,483,923,059,147,413,996,375,
552,211,748,736,870,539,255,631,868,544,370,232,833,952,644,207,839,483,061,
348,853,868,788,801,905,227,276,670,203,875,140,243,488,128,115,530,754,552,
979,952,291,955,589,515,800,126,591,355,809,997,186,722,915,886,132,361,639,
446,066,149,135,594,090,330,039,447,779,998,688,850,549,464,479,837,241,906,
039,854,227,202,199,258,791,036,842,223,284,742,018,268,615,543,898,818,670,
823,946,323,674,452,807,142,111,249,520,034,919,135,962,947,580,776,500,068,
110,330,158,479,166,536,517,566,892,070,489,645,330,948,654,740,660,124,101,
783,818,623,127,843,672,303,729,064,796,212,513,944,446,102,166,366,771,276,
175,146,266,206,810,597,801,863,776,375,639,808,178,862,234,723,613,274,997,
928,066,425,862,687,595,159,434,500,002,075,296,022,525,283,854,913,632,879,
293,417,759,947,525,717,750,900,733,789,870,400,449,820,274,548,042,994,440,
780,869,454,697,219,210,055,886,979,902,343,930,148,893,500,341,755,594,134,
305,392,319,635,785,224,572,822,079,147,109,856,528,371,194,073,310,035,631,
513,438,912,498,796,754,065,666,366,247,799,946,394,108,984,164,885,425,685,
423,453,295,903,020,588,040,582,788,085,214,240,068,514,742,807,551,264,099,
850,748,848,194,350,173,072,684,370,038,212,739,043,458,547,660,241,551,503,
640,339,593,634,541,292,458,262,260,639,949,987,485,519,134,430,129,043,929,
285,623,503,450,566,493,691,503,069,034,253,322,774,229,532,235,460,372,728,
786,218,636,685,750,999,050,209,255,612,053,154,868,542,664,446,857,048,516,
373,312,335,150,936,395,090,823,287,894,868,549,832,827,231,252,192,789,396,
740,937,626,499,515,643,854,321,988,594,632,741,005,138,320,935,559,050,124,
205,344,348,388,578,553,985,457,112,519,849,471,307,025,112,647,733,735,617,
164,615,188,006,123,820,972,475,036,934,222,810,797,217,907,595,683,549,140,
999,623,178,293,725,767,139,987,319,361,983,135,735,063,114,977,797,564,522,
702,089,727,144,042,880,161,932,738,928,958,928,911,582,702,148,888,312,999,
904,677,021,526,013,500,170,971,635,406,361,161,665,271,459,692,113,538,740,
207,350,761,601,066,140,933,295,987,055,268,607,150,576,774,534,058,849,480,
641,249,990,819,321,914,080,543,815,892,505,232,093,852,238,754,098,460,919,
551,753,551,830,361,675,274,327,408,308,417,067,670,019,705,469,228,436,713,
256,662,853,760,932,290,130,569,823,016,243,000,420,818,582,596,227,465,699,
719,676,099,418,261,526,226,480,609,128,252,178,233,837,937,423,974,195,093,
817,039,713,427,459,651,785,484,861,246,709,147,710,972,269,876,119,980,662,
733,745,510,533,088,981,372,880,217,642,058,747,881,677,713,424,884,793,506,
656,784,394,297,315,217,322,221,645,067,672,435,696,208,963,122,825,473,738,
858,846,706,236,572,321,483,714,192,271,004,173,553,459,765,933,948,928,902,
716,160,362,916,608,203,630,789,410,254,646,301,903,136,008,643,126,352,837,
817,592,738,497,074,196,235,207,515,707,546,666,849,988,129,062,343,367,327,
780,856,083,381,340,415,020,775,848,271,866,893,839,241,224,807,639,212,909,
779,120,102,816,076,552,678,401,976,997,933,187,757,977,444,275,462,355,916,
796,941,913,859,239,357,657,833,627,799,618,237,213,055,486,460,972,386,700,
043,365,891,999,582,559,478,600,935,222,045,456,871,805,493,294,855,635,837,
338,057,350,198,537,619,964,744,519,613,868,047,662,626,215,741,105,003,698,
921,490,145,745,076,217,424,301,268,151,459,411,900,412,643,119,713,257,103,
377,949,334,865,676,756,474,608,642,369,416,414,144,533,456,495,606,498,489,
860,722,839,332,673,570,144,935,252,272,444,334,657,466,230,345,459,811,351,
135,857,462,618,537,643,383,007,447,289,784,310,767,102,795,561,512,257,783,
553,082,605,687,720,783,645,025,186,264,670,510,791,449,610,925,581,876,720,
036,362,506,653,795,967,328,608,428,582,895,090,860,652,430,561,983,478,099,
653,274,746,394,564,103,122,384,498,688,596,534,855,775,959,670,963,011,889,
079,792,158,385,992,424,193,959,497,751,632,312,001,816,140,941,681,677,061,
750,603,797,348,337,922,518,594,029,341,820,177,751,199,379,870,136,168,082,
116,412,506,734,365,472,841,565,948,235,472,875,941,497,898,794,785,318,951,
912,710,714,069,825,665,729,176,912,818,034,721,085,310,071,167,431,703,658,
280,742,133,298,735,780,089,067,319,520,346,797,289,672,589,384,819,637,933,
506,970,404,080,061,748,837,212,284,213,529,524,693,973,042,908,552,729,848,
298,575,009,795,436,318,894,907,724,089,644,176,084,238,050,341,426,903,860,
012,572,705,121,454,636,085,434,967,976,042,369,223,751,755,125,458,745,290,
632,814,861,712,089,209,926,725,193,208,372,604,356,464,676,424,710,420,958,
074,249,203,855,674,517,518,985,595,518,562,816,536,850,652,808,400,679,054,
749,412,988,320,552,008,151,830,221,918,314,068,634,439,335,485,279,079,035,
325,346,248,244,742,372,836,327,388,497,019,175,310,610,702,586,318,113,366,
270,503,931,385,396,601,813,352,971,426,972,392,648,847,488,525,543,330,186,
787,005,069,507,249,751,948,134,169,212,199,834,910,216,280,864,659,125,643,
606,554,139,386,345,582,171,427,281,290,974,700,632,904,051,894,332,148,617,
560,360,722,143,648,838,455,175,405,338,979,842,294,892,343,520,816,821,602,
807,783,690,732,726,212,579,119,078,512,956,434,342,736,551,172,495,901,762,
137,459,975,127,410,000,882,048,534,444,004,168,102,804,173,339,385,082,850,
640,681,296,962,831,315,461,926,104,113,140,936,843,513,646,094,895,151,173,
363,686,560,480,874,573,156,679,309,949,777,082,063,523,011,649,660,353,981,
692,592,436,878,044,095,368,071,760,791,792,617,465,399,118,234,226,644,956,
697,386,903,007,025,510,673,142,700,121,079,289,281,886,533,321,413,501,722,
146,830,757,284,924,880,868,149,450,321,458,995,963,072,184,979,898,998,416,
933,057,502,861,578,654,962,726,310,128,993,908,844,431,398,369,902,508,402,
700,226,906,878,724,381,621,555,140,207,217,482,468,817,782,686,060,191,348,
789,641,941,187,643,898,603,535,554,740,439,430,393,140,339,818,706,408,118,
486,441,387,648,910,988,608,570,043,623,600,602,207,065,690,697,722,495,226,
022,287,799,540,196,401,723,635,265,125,827,978,397,685,762,878,040,494,814,
831,282,114,287,137,573,696,702,407,533,587,689,720,849,988,279,447,904,662,
465,234,047,454,398,524,480,067,546,577,307,652,764,707,148,844,250,257,750,
067,363,394,813,271,744,008,184,253,871,629,236,406,449,101,261,576,790,910,
536,038,252,369,706,312,148,167,294,412,185,485,360,885,315,061,251,936,088,
706,558,738,316,435,143,125,486,767,358,832,806,633,289,638,079,880,130,494,
636,026,393,056,019,925,217,714,402,440,093,255,865,938,254,232,582,761,239,
901,263,314,669,345,692,297,088,634,880,358,337,848,397,142,727,747,097,455,
803,585,897,418,743,166,313,613,481,249,960,826,343,285,901,771,480,212,360,
600,733,339,950,385,281,542,985,314,915,313,127,079,710,906,580,003,712,378,
500,397,349,579,421,023,496,140,721,978,062,210,721,048,596,473,814,122,320,
079,637,398,267,649,608,566,691,929,626,452,457,053,934,684,600,453,904,199,
762,691,300,859,367,705,615,536,214,012,962,925,428,038,739,030,907,929,510,
566,737,436,264,468,764,886,792,693,410,588,635,702,527,803,445,177,319,124,
628,817,792,641,171,563,955,693,750,804,838,119,488,815,716,799,725,710,547,
829,097,899,818,629,698,218,004,788,048,639,374,731,991,843,877,830,943,861,
810,059,814,090,626,093,468,714,613,805,693,365,910,321,084,062,334,393,678,
768,049,769,172,956,665,611,837,412,425,856,266,365,689,829,896,788,181,273,
655,377,374,372,288,837,319,392,873,046,465,003,442,651,135,602,884,193,848,
544,469,031,226,124,882,431,820,313,341,094,804,873,601,387,875,227,889,932,
861,675,594,828,880,672,109,293,152,276,919,241,445,378,208,527,206,514,567,
312,738,192,126,623,362,604,379,574,176,774,774,140,040,157,641,410,752,835,
945,021,259,636,242,512,547,869,670,244,303,986,515,492,235,962,580,617,501,
358,904,718,333,644,193,211,048,490,430,185,734,387,024,321,354,435,995,562,
368,475,341,364,320,533,254,110,294,100,118,366,123,606,972,650,742,763,252,
964,885,497,249,769,318,428,923,230,902,697,929,299,105,888,914,765,976,245,
203,686,361,883,119,085,242,113,289,843,326,977,310,838,016,363,910,841,004,
261,582,426,531,364,109,317,639,069,182,696,190,015,826,682,121,171,987,679,
715,432,854,666,290,441,900,250,639,631,468,162,914,994,218,767,195,128,526,
849,204,123,478,466,240,247,339,834,763,197,214,309,798,248,902,691,761,753,
394,048,291,427,807,783,193,765,460,348,200,187,442,443,172,540,672,850,789,
359,356,526,885,053,366,904,082,313,129,164,470,703,437,526,895,397,986,295,
936,772,644,708,421,596,739,212,628,609,824,577,731,332,624,978,549,405,971,
489,820,261,727,817,838,262,045,225,331,511,059,154,920,403,093,104,158,977,
910,046,262,114,063,919,063,365,736,062,952,876,835,262,551,014,072,367,093,
792,736,674,524,865,350,183,298,830,490,599,020,877,038,657,890,120,247,340,
326,238,952,979,959,418,749,469,750,034,806,717,270,279,300,735,902,871,817,
955,368,049,224,934,934,490,537,597,486,392,563,484,337,902,959,055,207,723,
452,649,691,546,319,006,026,788,979,177,132,544,266,996,316,497,935,762,434,
717,604,571,650,257,745,656,957,860,466,939,402,306,776,615,348,471,545,119,
613,137,565,471,211,568,743,263,668,698,291,642,670,353,586,603,533,364,239,
971,164,322,891,265,554,324,392,615,883,483,364,139,508,966,612,854,813,831,
166,081,088,072,611,953,044,161,398,426,295,260,741,964,391,836,178,311,501,
782,885,157,880,518,794,599,752,551,477,327,492,009,108,936,219,517,830,736,
661,061,321,750,194,524,166,360,047,036,712,425,577,023,778,154,560,800,782,
571,329,205,389,566,805,100,965,131,779,410,747,448,871,651,599,746,674,954,
152,771,315,568,184,611,693,230,260,504,717,651,286,883,268,869,899,882,823,
264,087,615,767,289,306,536,372,014,740,452,339,335,271,038,473,775,069,800,
464,718,871,323,707,020,710,039,758,755,424,966,700,315,697,563,597,004,693,
804,110,793,177,083,066,540,776,419,422,852,136,517,327,799,006,061,275,322,
284,409,475,227,236,746,402,367,891,072,351,965,117,796,244,536,880,774,446,
909,514,210,246,051,688,860,768,182,422,939,538,725,709,891,291,791,299,067,
389,185,393,208,456,456,907,116,402,560,455,809,013,769,764,159,268,047,336,
662,916,919,794,290,684,405,513,772,393,317,605,703,196,700,055,571,960,607,
133,826,763,265,203,057,949,987,075,277,223,444,783,335,122,580,105,978,414,
567,853,901,867,086,978,982,782,448,022,108,315,408,651,398,176,877,462,555,
820,494,039,853,471,127,997,964,904,791,871,409,460,604,147,265,794,485,355,
653,600,294,543,120,955,924,496,850,224,132,998,577,133,539,616,862,905,624,
891,222,077,262,189,400,665,487,203,330,077,398,741,956,604,237,146,957,871,
210,751,600,314,544,597,240,905,450,350,380,895,127,276,317,174,019,995,296,
855,290,225,472,354,156,685,289,020,284,624,270,825,701,534,484,579,720,284,
291,312,048,483,127,671,816,915,285,875,598,047,143,725,068,659,840,045,845,
280,066,212,985,710,981,657,254,507,494,065,031,204,267,790,411,996,195,578,
727,523,341,964,696,823,385,592,136,126,007,103,110,801,331,901,537,864,218,
871,216,499,400,336,037,527,696,834,575,216,431,902,365,440,101,381,387,602,
334,567,758,939,561,429,665,160,725,218,812,869,484,499,772,662,866,083,030,
976,691,047,266,609,769,885,658,664,264,431,338,586,687,720,091,861,088,113,
089,082,677,750,557,837,795,905,219,236,605,232,352,011,022,420,226,143,549,
610,987,825,098,456,638,057,482,150,829,452,886,303,950,046,666,297,781,714,
027,014,307,703,850,770,333,450,313,758,981,247,158,706,420,241,231,828,558,
060,471,861,186,230,057,807,408,773,578,277,691,544,805,821,476,830,609,019,
115,740,703,262,921,182,610,245,831,266,578,323,355,063,530,293,450,399,201,
831,415,315,931,181,712,508,910,417,708,074,019,747,046,001,716,242,737,160,
792,461,393,564,010,736,788,836,724,607,519,198,349,540,498,276,579,818,092,
801,849,658,332,516,293,354,259,881,607,413,968,065,422,529,456,176,396,061,
777,919,173,368,194,005,953,967,108,939,285,980,218,728,094,130,559,358,525,
479,426,613,206,074,843,172,354,190,932,072,519,254,084,627,332,535,866,675,
536,451,782,573,071,553,177,934,268,742,094,844,524,803,930,065,460,910,108,
308,057,419,407,882,438,031,629,058,322,011,167,233,519,050,048,789,515,569,
373,235,007,128,472,167,930,719,612,692,475,664,105,809,064,856,615,198,116,
133,803,445,899,727,474,383,242,550,289,306,726,219,351,348,214,670,330,224,
005,017,687,471,306,362,246,298,240,600,747,572,755,321,481,614,389,192,948,
406,081,390,299,096,743,167,612,844,210,946,961,499,310,271,666,229,457,038,
289,295,653,369,629,125,765,770,532,907,707,103,577,886,002,882,468,518,066,
916,641,485,806,658,537,391,002,568,871,196,301,228,737,401,567,232,583,643,
583,864,614,124,968,234,707,865,783,125,200,983,693,284,974,640,233,021,747,
913,227,564,852,833,104,213,935,857,143,383,309,194,220,528,711,993,998,834,
497,884,767,493,230,838,484,371,779,161,923,931,087,202,339,619,502,229,859,
293,380,650,539,442,230,129,133,017,446,043,581,834,657,017,788,733,847,854,
853,980,933,265,859,097,348,577,267,729,071,212,253,503,791,112,204,511,810,
925,280,709,523,264,771,390,160,755,164,390,138,036,805,356,017,770,378,717,
529,964,353,083,705,147,393,554,324,152,439,798,649,699,850,759,583,749,508,
157,281,856,348,553,489,148,339,924,380,540,589,677,983,460,068,037,742,949,
510,213,287,766,497,416,911,570,781,879,080,903,672,437,052,740,655,536,932,
533,494,195,029,126,729,774,236,184,527,694,476,390,670,053,871,518,512,286,
254,605,241,878,646,659,349,883,025,620,464,235,098,473,607,903,058,062,511,
096,798,200,446,022,603,712,337,228,181,626,910,263,532,963,220,050,130,652,
923,739,031,342,192,039,668,423,222,430,818,141,565,655,617,355,640,606,873,
497,006,540,089,793,416,936,709,037,234,153,919,898,961,511,507,186,169,670,
332,899,789,745,616,564,257,788,438,874,347,439,042,655,867,156,182,500,294,
696,323,435,129,376,026,971,208,326,526,465,701,357,503,252,427,099,128,409,
146,586,831,381,665,641,235,705,607,620,980,374,083,315,006,571,235,783,352,
483,028,984,003,066,061,630,612,886,784,351,995,120,624,542,652,430,804,894,
257,298,523,562,110,780,156,257,825,096,766,990,730,535,216,736,206,296,532,
407,262,715,867,901,236,060,217,796,406,502,580,135,706,314,322,189,329,803,
931,880,186,473,855,686,044,265,487,991,223,492,333,272,771,906,837,097,069,
445,994,469,600,279,603,810,979,782,464,683,672,570,282,056,708,024,984,378,
316,343,534,870,861,976,100,416,543,443,704,353,561,535,020,385,346,062,445,
463,818,757,311,772,481,595,578,405,685,697,252,655,454,273,230,173,845,537,
138,297,575,009,672,355,092,624,630,580,638,722,877,910,578,654,323,661,727,
332,117,313,492,441,318,051,848,612,174,006,266,386,228,795,710,675,591,446,
159,544,303,383,701,044,306,915,594,583,603,635,586,569,887,304,673,581,055,
940,521,980,458,812,265,602,272,990,170,538,302,658,825,350,249,650,173,558,
498,734,249,382,732,372,286,326,601,980,326,184,057,391,985,422,836,108,778,
075,486,152,048,841,989,194,070,407,631,699,721,110,997,692,654,720,623,889,
762,654,274,520,211,022,563,508,668,755,454,113,054,168,479,215,312,869,719,
965,003,539,697,085,061,490,315,579,691,309,592,562,962,154,737,561,903,019,
812,028,961,536,003,954,644,651,680,601,486,610,618,643,541,105,271,290,183,
201,184,336,840,087,011,266,633,077,859,051,192,725,911,474,477,345,992,596,
291,407,529,142,934,855,011,107,657,059,200,457,381,381,031,471,475,150,266,
671,515,979,683,188,112,259,565,149,421,316,218,225,756,028,599,863,345,027,
054,906,025,273,841,864,345,560,442,503,054,560,969,873,154,344,687,932,477,
584,716,628,326,744,533,716,102,840,465,560,845,769,978,222,812,394,594,852,
639,525,826,435,047,085,638,604,760,664,412,835,468,490,871,565,727,056,210,
064,264,835,145,906,355,898,394,747,917,828,002,868,069,669,219,631,799,344,
272,530,043,253,238,513,135,229,734,482,356,358,355,665,956,237,639,774,840,
548,353,326,903,033,570,157,297,788,990,515,195,171,703,895,004,526,583,185,
903,944,302,924,810,026,030,972,641,824,076,767,032,700,245,030,345,412,265,
862,288,727,571,500,601,529,411,631,492,014,134,727,336,041,024,490,816,565,
153,900,383,129,182,416,185,992,407,045,285,120,867,985,212,065,578,767,834,
361,895,579,473,618,341,626,819,229,105,329,857,190,147,722,731,669,439,435,
437,238,454,550,402,639,949,257,231,283,549,325,333,520,230,456,785,655,154,
357,000,322,931,813,479,312,955,019,123,991,988,384,241,254,712,035,948,388,
590,741,774,686,229,430,900,387,251,663,250,770,915,564,179,131,823,090,654,
063,269,726,524,470,408,528,772,342,576,142,327,694,103,590,635,459,992,619,
698,223,279,135,206,753,385,283,028,585,628,679,738,087,848,156,111,381,763,
491,237,598,271,143,735,359,491,652,523,715,374,342,131,658,757,703,564,968,
556,973,136,751,898,745,140,411,079,451,627,511,613,697,070,119,671,003,850,
502,492,847,127,780,451,306,440,754,583,232,320,170,157,404,078,134,853,211,
092,418,339,502,891,201,608,477,029,710,026,046,713,593,936,637,176,616,854,
084,285,626,884,251,197,804,096,316,702,376,069,573,495,973,154,202,825,294,
601,546,866,489,626,001,076,583,181,646,976,625,448,916,433,487,422,892,417,
209,984,091,651,123,720,404,455,240,797,190,059,085,318,243,863,223,547,401,
549,626,806,188,451,196,374,720,769,777,628,184,967,898,055,821,564,152,920,
903,156,066,795,756,543,665,573,100,326,929,621,313,804,462,392,893,190,210,
932,809,900,946,919,740,995,492,847,504,485,276,002,441,434,669,634,601,769,
860,402,356,240,680,936,801,644,327,545,772,401,888,698,557,995,108,271,071,
042,072,409,064,334,551,735,535,530,787,647,753,442,744,644,409,930,743,078,
210,138,677,069,687,140,946,395,388,375,580,322,668,589,182,865,868,035,055,
144,112,966,788,033,056,741,533,139,781,782,900,559,852,072,390,340,581,334,
053,464,436,297,506,378,025,331,204,593,071,791,275,437,915,475,887,664,294,
668,708,660,148,569,387,030,910,659,622,536,035,631,175,005,980,390,533,514,
526,137,334,225,455,177,403,895,606,222,003,914,307,840,552,946,454,422,141,
426,815,662,790,717,132,452,124,009,026,086,767,687,669,875,970,844,351,470,
539,200,731,121,661,979,655,905,543,241,481,285,538,385,117,803,169,776,331,
264,607,300,972,975,863,133,393,867,925,444,644,041,559,936,762,917,717,719,
091,267,574,380,718,581,781,355,857,689,903,836,693,628,174,678,830,091,659,
619,387,968,133,767,231,715,008,404,476,371,097,214,501,928,840,502,895,380,
064,219,821,601,778,292,477,900,715,387,165,271,657,405,789,668,791,599,994,
339,378,959,252,210,103,679,176,514,654,810,841,692,569,372,056,205,824,226,
240,441,940,750,927,607,691,824,080,090,346,259,501,230,333,955,194,964,128,
469,878,429,649,432,370,974,259,563,375,372,227,799,177,324,807,541,300,315,
520,117,136,106,995,539,299,095,107,703,015,157,332,215,386,017,739,795,691,
384,733,386,907,151,623,021,512,922,410,715,939,034,256,922,497,726,129,347,
696,915,122,447,953,148,558,828,046,326,178,545,595,524,315,541,452,440,337,
569,707,350,833,103,796,453,665,688,794,447,747,402,694,674,075,022,195,220,
223,699,837,288,704,651,832,967,638,759,506,896,897,812,071,012,789,589,961,
416,134,526,417,358,235,498,378,412,020,537,399,602,294,957,150,644,645,105,
113,492,963,607,838,664,116,572,097,333,179,221,865,463,674,063,923,572,086,
302,510,650,031,993,613,812,787,809,108,130,421,829,737,188,737,835,561,996,
837,989,878,347,299,102,106,800,728,601,801,196,712,546,237,205,218,529,135,
580,217,712,386,677,220,647,984,414,393,869,522,331,654,846,329,084,892,985,
588,071,470,987,060,897,371,333,084,448,122,228,526,336,764,650,568,090,926,
134,392,340,372,027,610,081,650,830,777,236,440,260,158,078,080,849,694,760,
821,139,858,632,201,876,979,477,257,753,028,734,483,553,121,564,784,947,845,
387,632,658,191,954,513,862,314,318,719,183,475,152,148,385,659,579,207,439,
226,659,153,863,922,670,896,886,514,251,307,108,802,441,370,650,093,582,589,
442,791,089,852,240,622,611,697,223,461,496,276,421,009,402,589,942,339,449,
232,985,965,424,932,888,818,227,842,350,651,407,843,401,366,345,349,682,348,
053,382,130,606,140,082,933,265,303,172,698,434,368,063,873,659,786,134,345,
514,039,941,078,519,605,942,334,532,692,843,166,290,441,790,275,224,404,132,
187,036,889,215,286,103,805,491,948,748,091,833,693,526,971,628,428,213,001,
976,633,072,191,409,075,664,649,958,052,815,920,422,689,239,422,108,772,702,
020,989,054,606,895,810,493,089,730,584,464,677,280,562,718,488,099,023,710,
922,403,085,658,022,119,396,433,165,019,116,046,081,057,798,543,104,842,399,
176,631,903,790,127,676,456,707,105,702,722,268,958,374,827,315,525,866,261,
180,820,715,419,458,866,221,971,730,964,939,793,694,713,708,637,286,940,623,
918,911,388,858,048,530,467,156,835,981,986,451,471,619,562,700,764,967,708,
119,033,188,465,755,666,697,653,732,322,123,639,839,228,491,530,777,548,677,
393,251,385,947,932,692,067,593,784,486,272,390,958,273,561,429,885,403,246,
324,969,305,062,438,364,044,822,230,523,051,654,078,768,200,971,808,337,571,
690,245,579,530,130,580,593,244,907,540,232,663,553,705,423,488,997,234,844,
350,944,119,515,600,283,203,701,599,803,976,997,962,210,710,980,175,640,689,
300,250,984,212,703,538,902,162,920,088,296,113,805,015,171,834,386,176,102,
501,428,255,666,794,772,941,859,236,450,464,109,767,131,744,351,336,877,673,
963,913,642,684,017,821,168,633,145,304,157,412,611,598,839,215,545,121,745,
416,793,656,842,177,278,249,660,507,044,456,733,682,787,726,484,545,284,657,
820,909,460,338,020,067,747,783,326,707,604,800,093,786,115,652,614,658,041,
163,620,950,658,378,142,683,837,446,608,551,141,320,219,527,206,709,527,049,
324,763,808,965,242,122,545,678,464,727,132,224,359,895,586,163,197,154,725,
203,039,653,465,898,603,834,940,829,821,781,713,032,129,123,781,798,211,353,
396,712,479,530,202,685,269,421,121,790,000,704,724,871,982,911,324,763,043,
494,578,521,970,652,167,085,283,069,853,259,903,412,375,088,374,250,513,158,
488,562,485,469,188,228,621,126,858,312,268,856,788,510,391,150,792,596,070,
420,228,000,985,882,541,449,594,945,573,680,834,986,126,946,315,180,971,691,
663,603,361,859,453,963,849,730,983,807,041,824,221,906,497,047,154,359,257,
866,534,214,842,995,350,488,244,958,776,408,132,841,246,292,237,257,271,770,
223,224,359,753,131,751,440,518,906,858,166,645,105,556,446,266,057,281,540,
403,036,373,389,088,942,058,562,388,678,984,047,792,246,857,524,167,319,865,
547,940,476,810,698,194,706,546,544,490,604,390,612,549,692,332,780,557,804,
950,701,303,985,084,490,473,736,405,946,362,776,374,110,568,844,919,911,408,
710,057,847,679,535,158,224,447,765,332,704,732,255,969,089,436,118,297,325,
557,046,578,755,705,305,111,475,509,322,234,039,510,031,449,425,469,538,096,
984,340,565,135,057,403,312,198,705,696,109,110,544,319,149,486,605,643,848,
087,907,427,599,480,545,562,410,766,048,852,756,454,133,893,042,647,044,363,
542,515,604,527,073,075,868,101,609,161,270,110,717,658,989,450,680,603,972,
888,465,385,805,701,726,460,195,946,440,303,845,205,068,912,697,175,533,126,
962,226,744,389,620,519,019,718,525,381,220,835,772,710,664,868,987,091,670,
259,044,170,048,611,781,792,030,008,320,228,298,467,011,398,695,386,252,992,
933,328,857,971,799,338,755,899,135,232,313,990,686,195,263,766,376,185,578,
655,156,410,894,048,993,664,674,712,000,403,980,839,361,173,139,842,696,985,
705,345,409,339,642,403,968,589,108,450,350,313,144,963,086,921,435,645,200,
145,538,925,127,214,219,944,721,234,387,183,908,621,165,941,629,270,295,135,
661,382,518,783,186,386,260,529,425,911,985,078,880,389,595,917,298,776,161,
157,168,554,233,602,497,203,940,134,982,931,450,750,630,595,760,002,380,045,
783,790,900,576,862,233,534,933,031,170,196,334,647,352,759,827,721,652,197,
650,049,747,527,436,155,092,996,309,212,195,506,718,440,601,547,678,469,200,
824,559,330,134,583,542,438,504,491,579,759,202,649,427,059,910,020,599,378,
993,957,936,310,410,488,789,540,509,939,613,602,666,134,006,662,281,170,740,
287,195,960,929,148,936,245,729,687,462,682,963,049,949,027,593,377,422,377,
957,503,702,370,880,111,214,605,185,635,614,388,294,937,994,499,825,865,095,
754,749,038,143,906,975,921,376,520,489,148,324,025,805,155,380,690,057,503,
773,987,314,717,687,346,915,960,095,767,763,607,247,626,717,150,923,752,184,
870,281,858,302,709,310,052,513,351,123,966,488,865,988,588,110,260,332,286,
333,760,173,967,194,563,691,128,900,234,716,398,657,405,387,906,505,763,042,
903,023,213,695,254,390,109,610,171,221,039,082,491,546,167,328,278,500,263,
768,959,932,255,817,462,148,585,412,524,115,314,220,263,857,967,539,040,720,
283,751,369,013,444,738,846,234,779,254,818,828,386,564,953,231,547,169,281,
450,077,111,242,462,619,582,190,744,923,090,360,852,263,025,810,119,286,948,
359,201,696,918,326,248,689,722,646,103,454,387,116,644,815,445,415,540,830,
369,363,725,235,938,296,429,244,536,850,424,035,647,512,459,235,058,965,179,
698,435,640,208,379,027,084,229,073,544,803,232,149,116,357,453,388,252,054,
892,288,256,974,784,172,764,777,729,270,541,533,731,192,724,487,999,148,970,
830,103,680,968,038,304,607,249,666,283,196,572,153,661,822,156,518,158,386,
692,489,899,530,147,544,688,338,981,700,138,229,460,768,361,594,046,212,320,
689,027,201,012,105,415,287,529,578,167,651,542,837,845,336,203,294,501,303,
351,789,877,697,069,088,878,778,425,499,772,643,957,165,173,122,007,361,957,
119,094,586,964,481,331,104,573,715,738,058,676,585,967,441,842,590,649,324,
032,527,353,118,507,292,141,432,702,548,410,254,529,523,283,399,044,158,557,
295,643,084,927,877,976,220,535,826,281,074,977,571,245,923,694,752,174,031,
092,268,225,253,602,997,432,030,640,261,175,193,277,226,139,423,101,196,105,
193,759,766,894,996,023,932,735,392,477,902,183,383,915,221,169,983,899,767,
669,292,799,561,527,873,133,657,720,178,296,033,320,247,014,926,901,660,513,
040,985,456,448,709,912,454,678,637,721,533,593,357,156,359,418,405,952,704,
948,546,735,074,705,142,517,869,304,649,092,457,002,249,111,967,283,658,552,
458,541,262,631,152,462,721,436,177,771,928,556,800,935,768,065,883,475,126,
530,385,778,078,047,602,099,440,669,852,784,681,925,394,450,049,682,150,189,
941,187,480,870,203,581,556,725,211,402,318,480,913,872,623,541,165,119,409,
914,974,513,314,287,378,369,344,305,803,706,707,524,287,188,301,818,432,426,
795,079,115,467,472,233,057,965,809,669,586,121,987,533,052,741,689,613,813,
487,176,499,392,340,446,914,442,228,930,066,266,400,063,353,446,153,135,032,
599,410,096,185,627,546,930,232,539,574,458,210,480,211,142,709,861,474,172,
634,695,605,707,021,130,316,696,038,649,576,028,865,989,558,082,744,398,319,
810,012,216,014,919,035,826,683,267,691,150,027,014,607,980,766,482,663,366,
929,091,629,371,666,147,679,445,209,825,983,982,107,984,493,171,908,100,264,
274,021,845,824,101,202,534,571,423,738,708,681,373,676,802,275,118,326,951,
518,623,121,375,576,190,874,769,772,908,527,188,594,484,343,939,259,429,449,
881,107,848,175,608,852,901,829,589,567,776,450,629,627,742,582,637,655,332,
845,190,656,951,923,785,049,778,125,355,424,369,792,594,438,543,467,409,079,
353,491,236,666,993,521,798,711,161,195,344,318,183,077,928,028,179,381,660,
673,719,385,333,935,536,569,996,924,560,872,492,056,410,219,757,031,945,623,
453,220,119,955,783,964,782,880,844,883,383,530,904,512,337,125,346,224,418,
146,657,046,501,900,177,624,398,953,667,935,460,716,556,086,964,214,004,528,
592,953,779,696,401,102,235,548,225,393,560,308,981,616,837,721,165,315,214,
154,562,849,968,589,613,839,439,862,213,116,721,701,257,843,235,126,970,242,
653,226,695,913,963,489,678,398,674,106,916,305,338,164,902,026,729,068,601,
310,306,722,323,866,775,351,708,269,691,343,012,289,288,983,846,865,385,680,
020,962,298,147,230,421,831,601,403,386,928,228,619,645,076,442,279,910,248,
893,880,095,706,793,425,814,840,896,429,079,742,029,343,725,600,896,769,474,
160,073,151,877,945,226,680,911,253,051,638,794,860,479,170,857,947,393,396,
972,802,272,214,868,496,753,714,215,400,568,040,048,228,081,889,889,633,722,
410,100,531,542,026,443,749,382,472,959,784,785,238,229,469,400,893,782,815,
320,714,873,356,638,204,959,326,642,774,517,925,570,032,889,168,975,743,323,
653,325,327,517,655,557,242,638,814,834,225,950,231,252,773,423,009,116,108,
894,831,486,054,562,291,628,852,861,024,804,813,405,166,564,432,283,603,807,
884,162,779,701,341,739,133,546,762,650,635,327,030,543,170,830,967,932,214,
491,220,192,092,211,168,093,926,445,289,040,953,822,415,664,267,356,056,940,
467,381,710,649,105,596,878,198,833,658,613,875,452,449,499,244,987,322,529,
887,219,392,172,143,348,911,791,266,036,918,895,254,360,316,962,385,870,611,
155,711,560,665,892,407,445,150,850,098,132,577,330,862,706,149,807,409,008,
391,834,946,574,918,305,719,756,660,167,689,120,249,861,057,422,116,669,975,
860,119,563,162,942,636,615,225,545,947,244,762,904,650,464,999,628,175,683,
739,787,220,460,318,400,910,831,344,492,722,995,130,659,166,629,202,982,332,
077,059,235,869,615,480,376,640,246,902,631,395,761,912,460,872,935,336,428,
375,175,377,111,592,302,465,920,466,515,904,652,601,905,163,239,056,950,236,
976,535,249,509,035,532,585,164,259,139,885,706,886,035,855,806,548,195,059,
657,002,097,382,619,508,505,399,057,368,770,495,493,106,490,523,123,383,409,
459,719,333,178,517,155,233,426,496,090,129,678,946,910,844,001,662,990,654,
584,548,986,642,282,704,940,086,376,118,865,130,874,510,952,373,234,197,495,
439,933,160,544,941,904,059,246,743,019,007,075,945,473,002,087,911,489,851,
713,709,561,859,063,982,851,369,741,891,913,686,854,868,432,167,836,877,206,
286,821,615,307,833,917,238,591,762,567,683,595,963,322,589,919,617,475,387,
894,922,183,874,966,131,081,881,079,948,779,359,379,052,566,766,785,333,662,
975,527,864,528,716,201,622,039,255,419,951,018,511,657,670,299,724,093,236,
111,218,128,176,632,863,449,418,827,321,524,991,883,866,709,343,685,547,442,
299,370,875,122,996,221,473,631,602,095,590,337,502,746,103,346,503,100,552,
693,792,740,460,463,114,407,293,784,148,052,320,892,489,448,948,044,246,720,
461,271,204,051,042,722,968,296,602,801,587,270,443,431,793,434,531,225,162,
809,461,932,262,862,487,535,400,259,499,070,877,177,587,434,972,418,040,259,
841,510,648,614,818,725,838,398,029,486,974,881,215,802,504,825,228,664,786,
450,572,687,882,808,372,741,575,858,191,956,319,090,848,096,330,319,036,900,
978,497,719,975,082,361,358,460,695,716,101,974,986,553,013,073,651,976,463,
105,996,411,654,538,266,778,049,143,275,890,355,553,391,609,062,637,500,447,
849,803,463,726,863,164,484,253,057,032,589,329,477,702,711,818,560,163,365,
337,538,237,843,677,496,663,589,985,026,004,815,788,576,502,592,986,290,331,
016,999,474,692,408,858,704,598,424,289,099,699,707,426,513,974,223,294,198,
820,742,506,421,107,817,091,068,629,255,075,199,539,246,167,720,273,386,778,
157,347,647,822,709,530,200,407,492,768,060,782,570,322,110,872,815,684,744,
099,914,568,001,284,689,862,728,756,145,476,166,163,630,255,707,066,936,767,
942,031,472,133,985,004,627,721,726,267,300,633,935,276,168,576,668,284,790,
896,023,183,123,342,399,907,152,106,036,934,879,827,434,944,550,315,954,610,
150,731,940,934,508,135,090,388,094,152,419,472,773,288,297,451,882,066,408,
975,711,422,378,883,587,644,696,916,460,473,695,740,573,432,577,346,113,392,
203,146,141,685,307,758,058,556,508,040,114,960,754,951,441,256,817,997,703,
805,780,321,330,509,300,046,533,680,483,009,720,652,515,838,627,011,591,025,
089,382,521,621,736,260,887,199,094,063,002,343,562,545,664,468,212,618,539,
857,471,483,139,266,746,192,738,399,304,129,268,323,597,648,598,595,062,037,
764,754,441,339,986,970,744,928,884,324,735,586,687,533,837,714,245,240,618,
715,247,015,989,940,431,755,322,462,293,386,842,212,064,320,971,737,538,897,
847,858,900,879,377,567,753,242,539,734,281,514,511,765,133,915,585,143,479,
864,493,931,213,847,366,506,287,077,714,510,890,886,135,987,729,701,976,628,
890,971,914,980,163,939,813,570,911,630,626,298,246,706,194,139,401,106,325,
863,783,418,521,200,562,474,306,507,585,280,426,188,344,667,008,104,624,056,
377,511,138,697,611,863,834,635,190,658,249,736,344,825,539,566,930,623,449,
463,487,965,290,632,901,525,126,899,038,785,809,320,116,588,999,310,449,796,
163,953,749,897,331,230,543,557,556,840,463,330,119,772,858,674,827,925,962,
393,028,796,442,810,522,233,444,653,254,477,547,368,109,360,041,061,265,839,
295,935,753,446,490,776,676,417,867,266,260,956,017,837,264,905,495,449,482,
880,635,541,598,831,149,546,201,736,322,825,857,790,924,270,918,628,132,752,
373,349,751,793,647,945,300,812,060,893,512,503,588,118,627,756,304,355,321,
469,549,077,360,145,579,955,949,956,526,104,355,724,611,393,517,455,183,972,
591,766,311,920,042,638,719,134,051,445,474,803,826,288,673,901,029,354,352,
235,799,470,107,450,670,852,155,390,674,595,482,762,464,736,462,871,719,296,
738,377,471,183,783,336,902,238,696,197,202,152,699,092,254,517,711,443,748,
682,682,556,849,941,940,623,811,290,951,687,882,502,812,705,184,800,051,062,
483,772,977,406,416,671,348,812,959,333,482,903,960,763,285,388,877,340,865,
741,614,873,317,037,813,603,184,542,525,393,216,964,421,464,175,575,208,949,
784,032,510,276,664,006,757,641,765,674,869,862,590,767,348,123,250,632,997,
805,428,060,698,314,209,325,484,546,795,933,750,380,756,540,010,331,393,560,
125,370,083,911,424,660,879,704,733,601,904,063,491,838,340,295,801,669,996,
447,587,372,335,799,219,385,122,259,956,739,275,114,553,595,038,861,229,866,
247,931,360,362,379,567,557,040,229,050,235,084,950,156,549,979,358,883,840,
723,066,418,661,868,913,830,456,289,164,659,095,950,341,421,878,324,821,448,
862,579,506,016,981,474,477,303,868,442,641,297,695,637,584,913,662,750,412,
541,224,099,281,469,459,280,170,455,896,351,863,594,505,014,927,673,527,609,
656,143,930,074,835,022,991,322,267,395,893,540,391,583,637,277,545,351,878,
672,499,786,128,637,316,515,012,032,067,978,493,671,586,272,917,804,747,920,
388,827,132,648,088,231,324,731,356,138,902,789,147,617,048,426,817,732,604,
513,783,075,508,999,655,422,020,804,576,149,989,321,442,452,834,768,538,540,
077,887,275,477,281,822,781,715,380,328,972,651,008,188,812,365,960,251,308,
423,538,560,510,267,742,767,837,674,062,700,882,349,989,715,965,361,840,266,
432,067,930,324,846,006,386,480,195,898,147,701,462,418,593,213,834,531,881,
205,816,218,140,172,908,206,113,826,704,442,518,033,215,942,849,931,450,322,
636,496,012,658,819,615,908,453,991,037,811,512,770,788,921,798,200,099,764,
852,088,272,805,744,541,921,452,641,249,352,945,694,189,985,879,495,051,265,
215,390,192,107,427,651,232,994,671,166,126,297,195,860,164,401,701,441,573,
418,408,007,679,394,619,654,498,058,189,613,612,736,666,570,778,355,932,383,
622,066,988,782,255,544,407,213,487,486,482,671,998,018,028,539,747,148,872,
133,144,058,554,553,321,270,947,693,554,265,756,479,753,305,629,597,514,726,
992,279,289,109,985,767,516,108,468,301,400,084,073,094,887,056,470,626,157,
458,696,132,553,834,251,176,857,232,454,800,998,650,093,222,727,255,122,776,
766,121,140,664,571,302,005,441,432,005,231,163,258,898,698,206,099,498,590,
734,246,643,214,555,491,279,210,805,674,817,385,333,631,045,702,085,669,127,
237,638,063,505,905,100,970,285,087,187,381,746,690,574,183,081,775,941,343,
988,973,185,400,097,019,387,301,466,190,703,141,758,782,409,395,934,181,405,
247,546,721,073,464,413,973,864,291,908,388,584,161,616,935,692,058,050,941,
140,794,519,800,849,337,727,829,604,663,690,466,885,686,925,574,139,792,055,
983,440,212,943,622,777,141,748,306,636,630,288,247,045,954,042,428,540,703,
138,496,051,806,743,144,738,292,158,687,947,690,871,198,179,772,159,808,314,
447,040,073,725,371,287,430,216,644,633,667,337,286,493,391,480,073,382,665,
383,670,345,590,143,215,110,006,383,195,860,791,088,612,607,734,423,068,457,
606,409,224,581,007,205,338,056,635,923,459,149,734,196,281,138,972,502,330,
170,305,428,569,253,370,987,487,913,161,054,192,205,931,819,340,712,990,849,
195,914,005,274,891,880,507,546,567,534,090,882,239,704,615,580,477,650,217,
729,345,162,000,399,773,045,930,149,084,454,937,422,938,589,553,100,599,830,
834,984,934,673,115,756,667,384,084,171,330,307,822,940,702,533,782,714,650,
956,941,378,336,913,589,690,263,435,773,279,960,219,027,310,124,247,846,964,
150,063,867,237,484,590,782,403,254,835,663,125,403,613,659,999,337,260,374,
870,106,857,833,306,480,789,255,424,257,735,624,753,342,352,443,812,907,250,
706,374,848,465,677,021,375,853,054,551,004,101,614,756,146,237,352,965,716,
555,644,689,936,920,721,437,649,958,645,922,092,236,110,941,552,038,767,337,
540,647,586,970,644,246,998,345,443,053,781,670,390,732,924,968,776,644,671,
940,361,159,938,143,419,476,609,537,380,234,247,604,243,855,925,075,948,603,
216,027,713,774,702,475,995,326,486,711,643,307,619,567,311,611,496,228,944,
104,872,028,319,507,482,490,474,573,851,555,720,675,815,835,167,703,712,808,
940,204,919,970,842,272,474,214,644,167,380,573,552,836,105,460,721,720,905,
519,082,037,899,157,729,177,880,548,298,900,074,997,019,645,843,424,616,527,
837,179,617,934,940,809,217,872,469,039,567,378,242,068,441,287,239,991,475,
163,887,559,173,859,979,235,599,882,582,034,901,984,264,060,505,137,194,823,
534,043,710,235,787,958,887,259,853,705,885,676,544,416,685,887,078,815,368,
673,252,254,305,685,545,549,129,329,495,977,260,710,828,242,690,001,556,775,
937,952,282,886,236,881,857,315,906,378,514,708,447,307,613,574,830,786,394,
333,875,565,835,977,861,692,530,370,620,538,334,004,112,246,073,668,841,062,
143,537,192,932,680,852,079,720,762,661,564,491,614,474,146,872,539,856,281,
644,761,037,906,262,184,903,728,147,108,054,350,188,323,495,140,357,617,885,
582,218,885,346,325,058,016,046,618,005,807,544,582,007,379,300,755,052,488,
005,056,969,843,076,634,427,609,329,200,300,393,986,039,367,337,023,544,198,
537,956,887,608,917,173,581,467,174,126,541,986,880,629,001,355,662,131,905,
454,663,699,030,640,608,063,401,158,505,830,827,686,808,873,871,085,077,536,
024,101,500,121,611,926,091,109,969,416,252,044,633,552,730,728,233,540,354,
581,188,721,331,971,815,900,186,341,170,381,000,128,596,379,311,983,889,173,
334,469,916,315,567,383,027,365,367,314,303,721,136,083,853,616,764,830,120,
453,227,395,306,946,906,848,338,725,767,425,960,089,070,496,023,437,775,573,
984,411,501,221,144,340,107,031,225,687,700,148,630,643,584,881,953,215,909,
001,982,372,793,370,462,269,324,695,291,624,667,570,409,759,386,172,736,974,
333,674,261,496,001,985,335,292,844,276,645,949,149,241,159,990,150,484,786,
797,025,961,333,559,643,813,753,801,020,690,894,180,460,916,566,785,736,757,
157,703,263,288,125,360,835,515,670,010,502,585,161,399,173,783,130,196,685,
909,818,680,123,393,373,635,047,139,653,189,959,125,143,411,123,812,428,912,
734,662,560,295,068,404,927,066,785,532,382,580,483,093,792,449,491,183,474,
875,975,603,737,957,639,213,966,692,102,657,788,969,851,228,899,258,403,231,
851,258,486,626,597,830,635,748,209,342,360,447,466,591,155,522,632,394,293,
059,468,508,966,631,759,484,844,779,167,519,919,869,146,473,969,768,133,643,
050,251,692,877,286,093,126,053,155,664,346,434,367,658,503,399,838,857,813,
880,409,384,176,823,902,024,041,907,977,531,437,138,360,435,781,868,468,443,
261,722,480,399,945,856,294,833,287,285,544,228,088,969,258,685,621,930,834,
922,312,910,020,578,554,238,687,998,925,758,355,519,548,002,972,073,402,729,
844,378,804,385,709,021,242,480,955,906,602,087,718,101,572,685,878,924,421,
589,975,218,708,060,508,771,627,517,227,317,063,610,737,009,123,857,203,911,
415,238,036,332,419,076,828,056,272,031,937,041,989,525,783,781,901,549,816,
454,159,490,658,151,584,463,991,687,772,984,035,637,097,386,420,699,048,901,
039,093,158,087,384,739,956,378,522,149,670,137,081,009,500,825,229,787,220,
435,843,642,565,680,081,244,615,817,842,791,971,437,266,890,091,518,871,115,
718,303,145,856,052,208,273,286,041,772,601,417,893,343,424,419,099,144,339,
199,404,833,978,424,930,055,800,579,855,927,167,674,744,190,192,790,412,554,
120,188,540,039,433,157,049,691,417,563,143,655,438,893,259,408,869,806,673,
838,402,859,414,114,932,849,678,947,985,541,484,976,591,368,413,894,350,236,
312,110,203,395,473,513,754,700,830,199,938,168,312,516,862,773,307,322,989,
131,063,307,044,459,677,947,843,842,148,426,861,961,527,893,278,675,094,013,
935,446,006,961,096,451,328,258,916,216,515,051,193,194,460,387,413,241,550,
177,896,921,248,943,605,489,491,768,721,781,776,040,980,555,403,521,970,800,
343,404,470,129,531,016,544,287,239,028,808,765,332,313,476,268,859,128,201,
064,447,698,317,976,210,576,512,239,259,750,239,274,769,172,497,986,188,380,
349,831,440,061,440,475,577,186,743,578,071,678,361,383,554,770,416,374,486,
984,725,701,666,497,045,803,319,480,603,605,258,780,725,070,315,652,817,090,
795,293,123,670,204,170,820,040,536,031,001,173,108,879,503,602,637,795,637,
439,814,677,715,327,229,143,860,795,700,835,834,137,445,812,722,925,721,981,
063,539,853,101,412,841,364,213,000,032,174,789,980,132,028,056,977,441,710,
313,889,354,810,051,096,891,593,408,505,340,403,360,643,698,598,196,820,780,
636,433,969,755,778,277,844,776,296,494,864,107,700,345,683,444,864,496,939,
237,931,711,836,030,987,463,512,883,015,616,923,488,259,921,483,552,359,915,
485,299,022,110,217,139,102,332,479,682,934,600,466,469,793,166,838,869,252,
202,024,585,285,340,158,319,390,593,357,495,570,251,440,355,584,802,419,974,
335,241,753,989,429,371,091,814,407,086,080,955,812,535,583,801,869,765,041,
326,849,929,063,859,474,290,886,186,287,630,303,380,540,294,859,226,044,262,
447,391,297,134,290,327,125,781,092,953,639,028,293,063,682,846,325,418,755,
279,891,585,429,502,404,132,339,376,884,127,599,535,357,892,106,813,982,239,
139,098,688,782,011,445,926,635,895,663,178,846,256,111,945,943,071,156,288,
100,416,060,380,529,326,533,701,866,113,665,544,485,020,869,489,594,114,431,
778,147,791,174,555,713,247,224,753,014,534,087,951,373,674,879,057,412,666,
731,101,483,914,548,502,050,927,870,353,870,861,509,997,845,439,817,737,167,
200,877,805,545,545,825,102,594,291,502,709,200,518,520,084,834,987,230,409,
427,367,479,807,045,967,661,226,491,429,925,097,232,469,628,180,036,541,259,
702,802,008,630,672,712,062,067,535,944,551,001,593,814,496,071,099,325,762,
899,163,965,962,195,252,284,554,552,329,713,993,722,289,259,567,554,085,128,
293,318,692,701,209,985,550,654,336,651,632,752,238,244,261,086,690,912,785,
711,681,548,469,895,584,280,419,718,453,038,049,549,260,398,091,022,896,454,
535,664,620,734,044,220,526,117,442,669,160,145,969,988,608,662,788,066,143,
431,544,956,426,560,002,300,993,781,894,136,135,103,533,478,080,057,739,233,
913,491,609,904,925,000,892,819,288,604,862,512,063,130,925,155,717,230,708,
071,213,615,075,915,425,542,920,015,522,775,260,811,394,523,201,705,129,686,
924,398,148,005,412,745,886,251,874,596,468,316,867,038,009,187,759,191,258,
100,206,304,397,364,421,959,428,945,216,297,102,448,663,934,226,159,259,491,
743,261,329,418,159,097,118,920,486,052,018,663,035,679,159,790,398,025,840,
958,526,868,365,920,169,912,123,208,508,159,642,586,778,800,818,317,784,574,
102,501,105,792,642,380,679,155,622,272,994,631,913,882,333,541,490,860,107,
542,434,354,804,456,538,756,341,869,867,267,050,012,479,567,929,739,648,496,
187,982,021,229,408,061,462,439,251,038,365,552,163,375,665,057,204,680,355,
936,518,274,234,201,479,730,292,500,905,510,608,736,965,620,216,288,160,885,
100,878,590,643,556,352,018,182,826,165,282,663,445,428,389,510,322,232,084,
094,665,662,228,019,287,573,341,437,371,997,152,227,788,752,408,041,802,001,
200,291,815,803,265,811,222,116,861,110,271,818,271,148,279,757,092,216,331,
656,162,693,186,961,844,475,921,248,371,931,270,852,766,646,527,065,504,375,
699,816,854,247,708,611,589,049,019,837,556,882,216,978,437,097,423,495,073,
166,075,835,448,929,605,338,262,756,512,559,713,209,349,979,456,276,055,133,
872,567,942,132,628,717,191,798,040,245,583,301,901,690,284,933,404,239,942,
266,568,643,274,389,907,401,378,537,378,239,231,527,286,045,369,251,674,793,
840,534,667,947,650,244,115,642,255,618,577,736,159,309,918,966,775,677,626,
801,111,173,372,774,895,164,129,288,921,355,101,323,064,563,169,236,957,633,
094,030,968,792,556,961,591,118,137,082,845,125,847,060,089,880,183,231,276,
039,515,696,835,071,024,373,107,995,813,137,153,344,639,211,949,928,869,868,
810,126,829,049,479,044,675,636,780,232,871,460,187,237,610,762,934,011,325,
261,616,440,238,991,400,027,130,433,909,378,427,993,090,627,255,559,571,429,
815,844,446,815,980,819,532,062,445,919,962,320,640,869,095,769,481,219,944,
438,656,590,851,109,124,352,474,310,757,325,773,924,487,441,613,635,676,660,
674,184,775,105,880,920,676,248,919,020,554,555,815,570,365,523,678,983,966,
937,715,561,307,765,260,777,688,277,377,143,282,515,762,776,104,413,502,096,
236,280,603,338,210,210,062,432,913,074,066,906,493,433,415,237,163,469,887,
732,254,035,598,831,558,187,228,542,383,041,690,184,258,784,074,710,391,795,
887,699,777,950,602,833,415,732,509,948,280,562,388,361,528,602,614,560,973,
854,088,477,504,008,297,525,305,464,429,866,515,855,217,078,980,347,192,183,
197,791,689,882,139,818,473,909,076,019,735,896,166,895,621,705,467,978,603,
699,894,431,894,285,263,292,978,786,724,383,150,256,325,520,774,049,872,130,
173,143,854,246,292,548,545,422,193,300,183,940,407,781,707,046,600,275,497,
781,481,245,775,207,236,386,711,803,549,509,416,695,485,830,366,844,688,861,
271,377,594,033,327,713,106,876,562,485,980,840,746,646,260,282,036,176,121,
505,785,424,054,469,485,050,390,450,822,786,338,926,597,913,184,121,156,357,
373,098,774,073,021,450,779,918,221,100,826,097,870,631,103,323,929,187,667,
873,884,026,029,108,707,611,863,338,696,011,107,220,385,654,589,414,403,256,
274,512,904,569,722,916,438,286,019,621,870,329,797,316,802,569,439,426,954,
517,557,224,115,844,015,519,627,112,844,593,319,614,637,101,765,626,066,680,
085,423,515,452,532,005,761,464,291,682,697,909,908,477,809,610,182,571,735,
086,378,641,431,720,734,405,120,559,326,784,349,778,770,650,254,588,012,062,
103,206,515,971,670,380,992,190,567,710,162,789,267,226,250,804,427,462,798,
323,691,597,498,705,439,535,655,982,597,037,449,697,596,681,453,049,267,468,
774,289,589,433,989,574,450,428,925,526,675,438,035,364,259,926,489,148,125,
647,293,660,364,616,611,827,414,245,151,307,428,561,185,298,947,665,920,408,
680,074,899,720,181,704,613,327,380,281,231,121,978,180,575,687,000,272,488,
789,111,632,892,969,705,765,479,630,481,744,918,075,703,622,902,370,236,883,
035,615,254,019,198,970,732,304,930,693,338,642,774,934,149,378,544,974,790,
626,002,378,198,725,750,768,531,412,621,616,922,157,921,231,267,096,690,583,
468,169,401,470,530,401,344,731,665,341,811,014,573,234,514,942,527,976,603,
652,653,723,078,244,578,798,198,010,873,147,064,987,017,375,180,981,969,781,
054,092,299,501,074,841,306,094,500,512,786,596,134,974,862,460,101,823,201,
562,945,951,111,158,518,417,136,728,824,817,981,140,971,414,763,774,276,828,
167,506,210,025,887,818,161,720,240,219,738,211,562,875,607,152,357,639,149,
122,988,654,862,312,542,854,631,284,561,736,731,725,510,480,718,454,696,726,
848,706,007,865,305,202,301,139,315,856,517,363,727,056,961,257,975,651,411,
211,023,209,444,115,270,203,207,011,043,236,668,452,465,493,204,260,035,689,
280,042,330,259,480,350,063,336,753,059,056,804,477,341,656,407,960,103,453,
168,197,616,479,038,855,897,855,537,802,363,995,170,231,828,485,473,591,290,
578,786,966,596,714,081,231,823,825,582,801,003,547,129,693,924,278,203,335,
232,040,296,773,357,123,995,920,328,017,925,347,920,020,082,791,640,019,812,
259,620,086,818,456,883,999,361,453,753,540,131,742,845,808,164,253,642,717,
943,787,266,643,457,755,972,512,382,641,772,435,033,896,211,563,280,001,798,
244,861,169,568,288,712,359,947,907,252,930,340,170,123,301,245,308,523,823,
938,023,622,149,205,049,087,853,894,747,026,782,026,758,036,116,289,047,356,
254,464,083,763,885,688,968,310,220,381,863,482,973,152,038,722,489,565,635,
352,969,696,568,522,779,445,070,655,836,473,122,938,306,390,294,387,690,116,
223,131,328,755,892,299,549,156,921,367,647,389,729,390,783,060,127,217,660,
468,621,826,796,839,416,118,551,118,672,958,434,686,534,804,115,907,313,942,
645,805,660,307,203,294,286,130,473,758,447,892,342,158,914,277,176,115,676,
830,834,856,941,920,077,866,776,522,299,533,764,347,116,545,001,970,307,516,
041,508,959,006,341,578,359,646,551,581,754,021,709,932,915,724,887,515,091,
829,778,324,341,569,475,848,184,616,093,175,779,870,414,524,901,034,752,135,
240,595,137,177,372,519,228,632,141,030,484,210,777,990,570,117,066,504,363,
926,646,132,405,791,963,496,873,570,233,560,893,693,788,765,250,706,404,547,
633,758,239,856,862,645,922,859,432,071,240,027,604,798,784,379,745,389,451,
598,791,581,613,063,793,272,275,452,684,043,273,950,895,169,790,679,113,409,
883,722,382,188,533,554,495,804,294,958,941,062,815,683,394,017,421,095,201,
531,274,722,617,022,382,195,394,950,899,233,508,403,408,222,363,554,776,439,
830,118,404,180,439,240,789,048,596,944,968,854,357,564,374,455,210,162,683,
901,400,966,186,285,226,618,449,951,867,726,701,175,021,866,430,859,048,709,
826,316,154,066,752,854,310,154,993,899,908,061,292,069,510,484,737,527,608,
351,256,669,802,500,503,401,978,912,591,757,666,754,455,281,508,104,347,019,
126,986,613,559,946,545,988,296,525,705,334,048,436,447,182,464,328,641,245,
361,983,836,396,950,053,581,924,391,628,838,238,306,493,898,035,228,108,034,
495,207,406,482,997,768,133,813,640,510,419,311,341,389,343,933,148,599,050,
790,977,272,825,230,654,116,501,611,610,950,866,599,796,010,629,843,976,604,
352,767,686,868,526,962,661,891,005,809,906,905,029,607,084,150,366,358,071,
056,816,728,862,038,340,760,901,318,139,131,348,076,108,295,975,763,214,464,
549,414,572,678,409,096,491,751,389,862,259,149,772,614,148,620,349,269,830,
921,997,854,176,785,655,880,014,218,913,151,227,203,476,418,948,492,427,238,
819,257,359,959,849,728,164,061,876,995,630,878,587,831,068,615,692,697,685,
063,503,249,206,820,974,880,685,579,616,142,963,618,218,326,407,710,829,256,
728,503,211,472,055,548,203,089,895,738,665,069,865,257,806,510,156,395,834,
020,534,317,354,164,754,597,311,285,937,633,877,809,157,662,752,906,852,008,
141,941,825,911,429,121,630,736,766,911,499,759,973,747,557,505,595,383,542,
911,541,773,925,439,773,802,039,088,458,887,993,377,736,965,887,922,184,138,
764,821,717,482,604,742,500,104,213,262,333,920,106,475,119,275,141,934,090,
520,958,324,672,769,645,320,857,763,209,006,125,281,690,087,667,008,965,794,
271,425,706,833,691,042,652,493,189,760,910,079,802,173,894,313,445,729,590,
497,830,497,245,375,190,365,535,970,379,933,005,126,774,527,070,178,166,194,
482,990,623,765,388,649,456,076,386,852,917,704,831,202,680,154,810,889,387,
493,188,245,144,624,010,963,403,788,614,952,882,287,990,088,790,550,785,533,
606,162,354,510,888,786,684,674,461,937,985,166,381,266,259,204,118,469,575,
157,145,330,979,014,728,898,814,697,226,695,037,498,136,546,846,878,806,429,
651,358,672,546,608,116,107,383,934,012,547,903,995,329,771,463,683,359,537,
867,143,638,901,755,769,387,185,215,169,573,080,459,317,444,443,298,463,277,
425,275,209,542,608,653,192,394,619,540,664,495,141,716,378,468,285,922,361,
067,376,027,364,282,616,416,845,769,565,169,542,232,969,355,103,660,409,702,
064,001,970,724,094,246,325,414,746,333,008,568,417,245,099,136,780,627,996,
418,901,636,857,364,930,866,992,292,353,409,803,953,080,402,348,789,577,935,
466,422,074,502,736,448,058,028,209,363,082,016,650,945,529,103,433,653,473,
418,752,384,797,472,383,963,725,128,122,732,346,468,240,396,050,557,860,359,
717,689,051,905,526,826,483,041,406,423,466,268,887,447,248,218,227,214,271,
250,986,879,876,743,081,014,722,866,763,958,682,912,820,113,544,278,198,130,
514,971,358,157,920,722,247,560,199,802,072,412,611,434,262,695,881,903,015,
825,777,275,945,677,125,125,291,729,257,290,797,430,132,129,406,130,220,629,
214,090,671,922,042,409,618,519,817,489,228,138,254,027,194,762,006,552,359,
806,668,077,979,300,364,515,484,595,976,736,983,173,963,412,219,105,314,203,
650,661,432,198,786,199,485,091,987,348,572,384,179,868,189,229,606,128,677,
078,087,857,274,942,857,765,350,146,956,741,265,733,304,787,195,801,473,324,
734,379,964,466,260,085,462,029,575,443,868,887,926,104,223,792,117,280,855,
483,134,681,110,332,191,700,323,842,887,246,255,222,223,392,363,607,616,859,
899,387,527,143,982,050,142,807,470,731,280,840,983,512,231,348,370,598,477,
308,793,742,477,207,241,628,720,447,999,692,840,169,659,212,229,099,559,403,
117,716,313,539,290,382,988,582,926,772,260,661,248,491,251,109,448,460,032,
881,734,689,633,138,348,063,307,456,968,612,413,130,177,560,484,633,612,386,
381,588,566,428,892,610,409,598,235,073,159,241,585,186,903,519,714,918,268,
366,601,551,614,040,169,042,531,317,261,969,896,743,860,035,330,507,904,389,
134,150,190,776,790,750,131,272,670,976,692,621,164,178,403,386,013,049,809,
315,958,148,291,658,712,039,672,894,895,365,324,321,328,717,487,718,960,930,
218,961,992,994,943,189,620,809,788,719,718,692,713,599,089,571,762,683,429,
073,297,942,947,258,168,292,480,935,196,122,197,966,004,932,271,125,684,843,
390,615,078,450,179,932,894,940,527,752,838,876,559,652,305,059,609,161,686,
550,378,561,187,979,391,798,466,614,974,218,371,231,569,861,119,984,639,782,
692,402,752,462,848,507,143,825,907,136,537,478,103,281,712,045,400,093,110,
534,674,722,705,492,336,016,430,807,297,386,001,604,144,029,373,869,263,760,
663,888,820,041,548,807,570,131,796,096,980,857,819,887,854,656,251,602,639,
051,022,696,136,675,605,148,287,604,405,072,722,291,436,621,577,353,211,599,
047,099,811,606,130,945,805,782,567,415,362,234,859,980,160,458,561,479,568,
533,567,707,873,555,565,127,712,322,862,836,333,919,307,698,359,482,656,528,
837,498,402,807,418,982,646,678,516,626,974,730,942,201,161,493,042,288,737,
858,442,471,553,975,374,141,036,725,419,597,518,803,897,045,988,732,409,151,
971,714,029,201,761,277,337,935,695,940,367,410,053,648,983,572,647,643,979,
042,071,551,833,737,734,368,068,824,764,817,395,606,224,521,080,789,236,833,
542,389,807,592,770,815,676,750,704,614,055,504,841,559,065,336,928,953,992,
756,211,801,384,900,468,153,736,232,846,544,878,109,859,339,477,206,150,935,
795,620,072,079,193,223,368,526,015,819,379,097,154,953,909,990,927,666,740,
497,560,610,355,088,291,733,246,332,117,520,633,011,890,422,078,548,925,563,
269,383,958,151,532,077,710,552,704,499,313,830,605,358,078,804,450,396,324,
261,100,590,858,850,465,634,575,918,115,291,223,571,076,402,984,418,619,535,
725,188,178,796,987,784,033,588,474,101,371,620,673,474,223,424,000,103,500,
700,261,072,708,097,463,761,416,380,873,546,023,898,259,870,136,028,949,185,
308,702,179,505,016,214,721,499,638,889,008,878,286,569,497,295,279,258,842,
859,510,113,834,864,786,811,913,796,041,366,737,190,559,408,172,740,025,759,
974,325,359,731,677,453,142,404,342,539,220,096,156,705,308,744,282,153,051,
107,804,083,638,815,931,207,682,240,240,085,036,690,082,064,861,453,814,093,
351,453,914,188,222,872,908,370,828,194,736,296,698,509,632,409,907,293,019,
003,637,480,091,507,270,476,569,229,269,913,756,417,416,969,249,616,142,047,
595,073,334,512,135,742,357,372,909,947,575,549,048,687,462,906,432,760,936,
916,031,699,353,069,834,920,593,903,016,039,177,267,196,732,462,618,258,601,
205,228,547,477,412,175,971,645,015,198,434,030,999,635,018,334,511,709,394,
783,787,392,423,596,838,858,237,976,064,385,838,496,720,443,269,807,020,337,
812,256,173,468,595,748,017,752,798,291,094,672,605,789,223,077,560,442,497,
099,566,272,768,791,690,921,987,432,377,452,171,614,892,557,705,240,709,885,
449,781,052,541,511,582,819,170,211,701,785,550,118,312,040,344,192,385,660,
623,249,449,483,534,142,991,595,332,816,252,714,675,551,601,339,483,915,959,
772,949,046,375,127,354,329,140,263,233,583,789,860,313,850,394,749,273,222,
981,650,847,358,585,157,378,549,256,572,349,882,657,992,215,901,733,013,046,
086,327,323,898,301,496,172,902,449,737,881,689,388,235,292,115,972,250,638,
178,439,465,811,201,853,842,298,127,152,049,653,351,569,590,952,759,762,774,
778,982,217,860,925,176,192,166,827,408,993,340,482,725,723,608,457,205,388,
440,080,996,158,096,722,721,228,411,203,375,663,171,632,098,036,771,619,028,
914,269,812,451,024,935,946,367,370,641,975,810,708,836,890,049,252,991,050,
286,097,099,118,892,188,156,236,379,686,573,568,644,645,240,932,834,451,991,
574,893,813,606,213,689,688,329,929,886,155,324,608,185,436,057,772,791,848,
826,305,448,017,730,127,345,110,420,919,032,008,399,022,252,229,130,357,158,
256,658,866,691,430,689,283,916,067,439,562,901,872,131,275,592,505,019,303,
639,836,545,575,729,649,673,334,626,532,002,178,380,703,968,597,000,076,941,
898,692,169,304,862,263,548,956,760,693,510,709,544,289,787,405,815,268,666,
672,957,919,461,625,536,251,033,198,334,113,698,549,333,607,849,454,195,358,
217,143,952,692,536,132,169,351,595,585,242,813,167,923,819,640,278,804,631,
343,890,602,364,832,036,563,534,993,818,012,764,732,335,438,205,164,738,059,
760,682,671,356,551,198,940,045,304,150,071,235,941,626,200,777,739,691,533,
021,818,243,935,547,492,440,328,906,608,826,802,703,548,488,345,083,888,686,
069,827,663,391,004,615,792,127,540,444,604,929,985,660,321,293,961,542,484,
584,541,233,121,220,460,343,893,527,594,842,919,895,419,736,534,520,943,503,
324,139,078,718,603,949,223,013,036,962,474,214,659,946,463,289,407,605,105,
712,822,507,348,270,299,189,529,527,715,724,446,234,538,349,085,054,927,033,
719,553,820,073,310,100,954,145,129,788,387,879,215,064,421,090,977,098,739,
695,685,749,800,284,316,712,581,626,215,858,028,322,698,259,102,813,574,774,
874,855,797,530,245,114,217,270,617,603,515,878,449,360,270,489,592,000,488,
660,489,173,676,064,989,980,404,167,673,218,343,631,621,907,391,814,689,375,
873,325,692,325,088,602,587,154,453,829,220,434,970,917,227,103,922,407,972,
306,123,723,587,556,256,485,877,504,633,567,366,355,998,463,146,847,561,452,
026,286,755,501,776,862,482,570,156,694,738,310,885,446,786,665,933,943,786,
781,068,239,324,421,875,690,821,562,158,458,929,789,541,082,246,123,684,998,
480,644,777,447,241,836,350,265,664,253,426,841,651,597,525,740,167,387,789,
842,513,386,021,406,967,892,610,991,302,882,180,169,826,657,908,614,702,598,
966,834,584,209,760,968,457,114,349,107,211,026,253,591,706,303,554,954,481,
732,170,608,498,211,743,334,747,686,286,911,189,897,829,531,883,241,108,513,
787,593,803,400,489,458,265,216,969,881,072,547,296,665,700,438,610,813,805,
106,591,051,541,339,082,427,149,120,025,719,923,775,719,701,482,886,943,723,
557,664,866,842,136,180,066,531,217,659,741,865,352,665,938,014,497,233,382,
116,458,461,336,487,305,988,362,345,284,068,212,873,712,395,553,555,157,669,
965,820,339,484,979,475,709,991,361,598,181,876,461,545,837,552,467,224,239,
763,685,742,196,455,167,258,108,384,353,993,189,924,083,596,085,994,718,671,
922,912,348,325,990,583,810,860,445,656,416,524,605,612,553,000,159,444,430,
109,414,391,583,807,141,335,938,564,151,370,834,266,072,917,358,335,856,370,
364,636,184,160,310,255,664,311,004,613,068,230,426,138,717,609,301,667,650,
076,493,503,897,298,939,612,628,786,454,287,482,304,372,407,043,821,973,684,
363,887,086,513,827,541,437,315,560,089,609,047,227,184,356,956,469,744,861,
481,116,123,026,977,185,697,217,070,339,579,505,269,300,847,542,435,358,850,
507,355,037,296,751,046,015,188,252,660,238,394,735,392,726,539,987,823,677,
187,372,907,573,218,137,447,196,947,082,221,616,220,746,355,302,958,596,972,
745,601,113,019,635,368,393,019,891,475,261,356,396,143,224,212,664,028,807,
333,115,038,118,826,090,615,758,182,736,823,958,845,925,493,518,049,850,692,
357,950,101,386,245,206,835,602,959,059,580,932,952,757,140,789,055,227,705,
410,875,094,541,338,999,563,548,608,539,154,299,876,314,609,954,237,264,851,
695,828,952,294,441,752,817,801,254,179,126,672,870,385,232,975,923,965,318,
663,101,766,129,329,081,630,648,948,603,984,536,825,239,592,368,442,695,906,
287,123,249,311,085,394,244,575,858,600,266,798,024,209,241,079,223,965,211,
376,489,841,970,087,329,992,071,268,343,218,961,317,344,820,660,855,649,264,
933,950,254,650,615,191,656,683,574,209,208,992,442,207,462,956,917,536,457,
592,041,323,804,553,121,791,305,849,483,805,230,758,057,244,323,614,678,469,
667,270,906,251,369,961,724,948,890,748,574,762,689,958,077,872,769,372,217,
780,724,540,945,173,355,821,893,931,982,865,504,565,045,479,983,102,723,035,
827,990,123,387,133,222,638,188,929,071,912,562,630,414,355,445,624,310,921,
261,889,528,181,959,975,733,221,825,466,467,477,392,590,716,946,384,076,779,
386,922,616,038,487,487,502,651,834,613,937,296,245,138,854,488,729,265,101,
452,412,249,019,034,071,398,385,982,675,017,433,014,427,960,716,327,740,389,
493,778,979,082,821,917,080,769,590,932,533,141,133,451,704,468,577,092,715,
964,496,237,275,922,586,063,477,294,074,773,948,740,750,513,986,791,015,167,
268,412,801,922,789,100,496,976,801,714,382,664,436,652,442,287,577,526,115,
252,375,707,142,559,604,803,650,755,141,095,738,606,891,457,521,803,119,861,
536,331,377,084,150,297,285,497,258,629,035,044,550,168,610,757,137,864,980,
799,044,926,297,536,601,299,043,813,855,437,005,972,608,136,198,732,824,614,
507,293,157,017,889,712,651,983,581,875,295,751,820,946,524,976,094,427,409,
219,227,636,499,402,403,303,319,619,662,500,311,257,356,590,503,179,524,034,
942,435,247,147,082,511,741,481,085,821,688,447,573,067,399,515,887,907,791,
462,936,608,082,549,166,478,395,407,487,343,847,873,732,688,249,215,277,475,
102,197,297,440,417,013,355,073,125,750,261,133,165,110,334,693,335,258,900,
127,803,421,895,853,620,889,001,573,668,361,034,023,647,880,125,499,639,262,
032,923,144,793,532,485,104,296,415,258,228,041,187,054,216,311,824,799,899,
369,742,464,901,474,182,151,014,228,091,523,807,135,882,528,222,615,263,269,
907,219,065,239,994,673,445,824,257,191,272,889,104,585,611,970,942,132,029,
763,588,065,725,436,357,273,424,027,784,500,149,442,623,911,348,171,251,323,
636,564,098,327,235,649,250,856,611,226,435,804,769,929,720,401,460,984,941,
760,112,632,062,244,980,140,922,563,420,013,160,592,732,785,708,926,702,425,
178,708,133,827,216,281,259,730,745,889,129,480,222,235,083,576,871,209,145,
313,317,204,432,366,694,815,166,238,911,681,702,951,463,296,910,055,367,821,
971,518,715,361,778,650,903,879,256,354,349,894,464,758,171,877,200,375,741,
942,762,224,460,913,433,485,241,792,796,457,189,030,538,249,708,484,743,284,
900,326,792,946,843,792,925,291,017,309,332,699,208,351,486,526,910,658,278,
649,787,513,368,883,793,687,939,580,796,565,758,742,777,388,663,308,945,475,
973,459,158,802,928,047,481,307,439,668,352,443,562,553,721,131,938,760,058,
175,078,601,545,226,613,761,988,381,712,504,850,141,414,590,120,969,291,645,
308,993,982,313,674,454,629,715,456,777,016,090,636,108,517,281,663,741,158,
071,804,548,158,856,499,799,520,375,795,038,775,852,366,909,507,174,611,815,
092,287,165,870,234,423,273,819,422,891,759,865,485,810,203,369,594,303,286,
754,655,303,626,177,724,598,564,975,777,235,777,404,789,632,539,555,713,572,
626,661,999,707,035,586,895,851,564,349,325,319,810,364,455,093,590,581,729,
668,025,608,114,074,052,948,227,758,219,813,095,516,621,497,450,412,016,517,
322,008,806,974,037,988,962,295,706,067,683,297,301,324,517,039,234,644,632,
703,096,903,059,116,506,103,690,539,033,521,149,223,710,990,171,122,043,035,
720,716,184,238,265,831,779,721,708,109,750,010,372,535,843,276,357,778,182,
512,277,778,731,054,308,755,029,351,980,808,519,186,191,997,132,649,790,380,
679,132,308,340,953,824,725,208,962,230,778,139,933,288,040,974,365,071,300,
404,166,332,806,481,325,427,002,255,580,082,515,482,860,172,288,349,047,102,
584,313,321,704,255,466,530,792,557,657,713,116,774,515,140,457,359,475,005,
967,127,800,434,569,471,390,474,798,047,949,638,783,734,384,566,894,436,853,
533,347,423,744,539,310,921,576,926,539,878,484,992,729,236,435,935,933,460,
520,242,278,913,718,172,980,839,356,125,512,761,335,508,726,669,298,556,453,
920,504,321,850,072,758,139,911,694,234,460,335,666,910,158,765,089,585,677,
868,120,439,726,282,188,846,232,909,091,267,427,057,948,341,234,332,036,980,
238,289,450,169,957,033,455,129,599,691,437,697,378,647,449,686,962,359,132,
243,067,332,632,367,800,117,503,083,888,763,553,321,836,513,564,880,137,365,
538,406,968,911,270,852,743,562,694,857,086,377,364,022,499,493,977,989,147,
352,652,945,861,118,846,154,098,298,955,518,687,823,045,012,019,098,904,809,
507,043,746,363,555,630,540,207,761,626,718,767,408,251,347,417,335,908,590,
974,392,714,476,687,727,520,957,442,984,806,664,248,905,354,116,198,382,304,
346,710,000,812,514,291,111,736,163,484,200,126,338,338,673,969,719,855,465,
410,063,316,379,993,406,848,259,850,217,280,975,330,592,849,793,661,036,792,
787,813,677,276,382,160,796,362,068,707,776,169,937,926,235,455,112,206,445,
311,809,011,599,856,570,388,940,251,223,029,687,132,773,975,070,162,903,525,
413,750,737,821,424,974,064,573,435,647,459,397,779,408,329,659,007,984,582,
643,198,142,594,728,034,448,622,211,642,334,337,970,230,350,116,400,092,663,
122,006,470,571,264,428,619,865,274,305,740,895,467,971,551,094,220,925,878,
864,674,473,809,532,949,371,224,052,592,152,284,909,351,589,766,904,225,409,
812,801,882,445,770,912,056,047,628,498,612,085,952,419,260,513,846,394,065,
774,951,873,528,850,650,632,272,053,591,451,396,562,836,194,427,178,624,374,
076,789,876,064,071,809,031,436,984,051,222,940,245,537,807,355,579,212,678,
138,155,909,328,477,050,829,489,502,933,732,322,099,135,382,710,079,379,154,
354,730,797,792,000,421,296,389,466,708,555,070,437,738,902,860,445,320,333,
554,603,519,266,104,920,308,085,476,838,289,980,162,431,078,155,047,372,991,
242,192,956,574,807,962,347,125,295,570,344,867,763,814,471,403,355,202,272,
756,726,636,683,795,980,116,989,806,816,610,188,973,204,598,446,302,039,611,
173,798,972,281,795,611,519,025,518,970,478,639,964,971,563,406,856,869,810,
485,978,834,237,045,384,270,248,399,252,023,831,905,163,113,680,396,872,122,
990,925,555,418,552,437,362,109,322,423,204,800,516,748,090,022,034,333,733,
871,186,719,864,935,425,209,332,569,936,873,852,209,855,173,943,058,746,380,
000,177,548,419,016,339,094,925,927,149,023,239,784,348,493,644,675,717,540,
797,861,754,223,914,393,406,907,139,240,737,496,411,603,386,150,858,923,258,
779,917,301,010,710,217,129,512,377,282,349,250,424,384,377,395,692,057,967,
258,983,986,145,494,437,300,282,983,393,358,887,743,789,257,083,181,937,958,
048,741,744,475,020,568,242,675,003,097,471,909,374,096,284,827,439,879,921,
985,383,584,895,806,563,309,834,314,801,469,526,069,290,561,601,303,310,775,
935,777,478,399,620,909,814,456,050,247,641,863,927,943,153,336,219,877,109,
468,158,262,856,934,826,169,223,609,358,753,131,491,552,419,507,415,021,625,
916,866,889,643,633,893,525,112,068,083,445,099,288,109,029,018,407,943,147,
093,260,272,482,795,168,920,021,306,979,108,611,889,482,439,747,973,558,031,
382,276,853,042,716,160,966,664,562,826,602,953,350,063,961,738,753,108,819,
933,494,369,964,769,780,588,846,464,619,818,592,529,324,193,145,198,685,257,
821,894,866,156,612,568,824,187,802,692,226,488,014,721,386,136,250,080,152,
068,101,645,883,142,157,861,588,777,781,916,856,376,598,178,932,207,390,215,
384,484,503,543,638,707,148,775,637,748,972,657,428,475,052,155,992,447,008,
470,272,482,695,138,003,017,948,309,624,772,334,206,947,285,242,128,994,084,
277,458,397,303,928,214,813,260,403,294,933,376,095,075,354,197,047,379,693,
665,165,999,437,810,851,139,703,839,742,851,486,801,138,799,895,433,135,899,
184,851,118,820,987,158,928,665,143,131,009,307,093,576,431,537,895,083,453,
375,666,034,608,072,459,731,367,578,840,470,984,097,003,539,957,499,523,305,
408,638,647,181,764,707,583,131,542,486,866,890,116,156,383,491,823,087,547,
620,418,202,049,645,016,553,576,764,449,417,970,004,491,576,934,417,858,310,
088,715,937,257,386,199,996,556,094,676,276,476,378,795,855,683,408,864,972,
112,516,405,368,243,665,500,378,737,842,672,908,153,598,966,276,170,096,935,
254,075,611,972,987,181,520,275,328,585,461,598,292,394,248,888,014,138,651,
779,535,766,431,075,934,761,868,850,782,651,258,699,187,493,382,515,640,892,
734,769,302,114,223,710,359,951,717,864,695,683,768,781,484,147,433,232,018,
453,539,308,923,765,487,682,460,227,510,443,648,439,481,174,501,916,597,805,
296,104,524,153,484,514,110,618,243,513,536,884,781,251,506,685,183,682,540,
623,399,306,807,411,359,208,670,894,788,100,184,374,263,209,068,346,032,584,
850,294,848,393,319,354,625,022,028,605,206,273,903,883,975,108,686,774,086,
790,477,246,224,147,021,780,923,347,800,972,038,100,105,935,939,775,481,031,
373,701,502,407,908,094,796,180,478,192,497,257,716,379,563,573,735,132,770,
927,369,907,740,425,033,606,414,286,172,078,249,002,153,840,007,494,315,627,
848,191,021,163,520,100,519,265,794,628,749,884,746,759,269,307,265,443,134,
200,798,639,216,305,287,459,867,793,862,470,738,803,319,022,701,877,090,901,
532,290,261,480,379,804,107,113,891,052,099,404,333,606,853,537,805,190,483,
435,838,547,701,738,877,745,480,498,378,563,587,849,833,598,917,853,983,122,
774,969,852,744,749,233,460,499,899,024,316,080,193,992,838,770,940,450,831,
033,398,665,121,476,224,155,828,669,330,556,574,837,836,826,802,154,372,121,
176,752,281,334,060,429,801,484,127,083,083,801,006,613,994,526,010,403,723,
854,498,213,236,517,905,177,692,097,767,526,890,079,103,349,604,236,727,606,
964,279,368,923,553,827,994,844,892,934,288,943,599,490,575,409,525,282,526,
757,443,665,966,744,238,143,996,698,704,791,916,803,289,780,401,825,493,356,
515,033,925,613,769,610,625,454,751,879,194,276,169,802,747,449,628,733,951,
169,055,111,540,858,471,154,544,108,614,100,346,718,715,422,063,577,985,435,
932,475,136,085,789,052,384,294,844,600,234,107,284,207,995,028,796,602,815,
835,060,696,656,990,030,030,275,922,846,024,309,892,608,867,722,462,255,018,
585,384,290,037,939,784,877,832,003,082,933,061,126,101,687,048,401,250,888,
784,370,885,953,759,400,382,671,873,947,137,538,241,007,981,823,301,083,379,
650,189,396,057,130,596,401,504,670,212,179,805,399,118,065,116,146,640,850,
025,534,181,141,270,115,971,121,295,454,009,370,753,538,397,872,656,527,335,
150,856,529,787,151,111,250,929,419,897,074,373,963,222,913,620,143,343,563,
580,106,177,397,394,066,808,462,519,804,732,290,114,153,703,518,938,622,800,
680,633,078,748,210,731,069,829,916,201,295,135,085,237,295,854,031,703,834,
597,180,056,641,598,783,018,308,103,390,873,179,600,314,663,014,541,672,112,
072,499,592,275,493,010,273,588,431,218,234,911,917,943,202,565,141,701,818,
658,364,645,441,134,657,990,763,050,428,405,576,116,980,175,278,686,835,495,
334,658,999,494,862,595,613,901,259,620,126,250,341,568,206,013,040,418,496,
522,706,432,140,785,843,300,153,251,784,288,589,108,232,970,962,735,223,496,
197,774,023,051,635,565,545,168,521,682,716,873,014,228,291,127,669,189,094,
741,321,049,323,037,459,077,201,974,458,565,787,781,963,773,557,846,258,830,
601,112,295,926,992,862,595,841,364,951,591,211,967,817,970,011,863,296,963,
667,788,355,127,307,994,314,561,970,780,395,018,067,986,860,624,796,278,093,
119,033,475,823,979,481,272,762,778,720,303,488,718,184,323,802,951,341,978,
481,698,171,917,837,726,500,039,650,680,674,673,846,737,241,060,797,372,868,
989,193,948,469,727,704,438,923,721,436,678,789,663,586,923,669,816,382,005,
931,057,791,647,425,660,275,384,005,636,613,061,211,055,144,644,365,125,082,
654,854,431,644,426,142,737,100,525,939,304,254,477,497,559,076,403,576,811,
355,336,727,122,150,231,914,550,140,839,809,605,167,822,187,047,810,960,677,
052,866,288,152,831,373,879,615,164,566,631,884,563,919,492,758,232,805,545,
773,581,840,389,406,351,471,660,573,414,368,752,561,599,723,537,553,409,799,
424,939,233,628,066,831,437,787,963,291,024,466,090,535,432,851,557,926,322,
480,910,140,007,613,971,140,314,064,660,805,939,038,877,799,245,405,718,433,
964,657,295,275,445,272,333,259,062,938,284,145,163,340,076,781,924,019,031,
409,534,619,863,378,149,184,342,909,036,633,111,133,246,114,291,676,212,373,
032,799,683,905,155,679,758,700,203,126,303,547,326,912,319,172,210,453,602,
372,571,255,101,894,498,659,131,666,696,434,439,266,206,511,113,627,411,200,
092,291,848,832,198,092,907,058,401,553,765,828,354,062,844,769,247,369,254,
913,603,565,499,500,899,701,339,205,458,155,110,360,124,212,259,888,505,026,
381,674,238,375,334,107,017,700,628,658,126,906,836,184,077,293,151,208,134,
636,464,726,583,085,111,008,278,086,683,691,628,859,650,262,922,347,693,893,
399,538,387,875,562,093,128,270,535,519,169,985,021,322,289,486,083,411,314,
242,314,076,779,935,738,930,475,031,685,392,910,820,155,358,043,093,495,738,
318,965,594,347,873,027,509,869,777,879,486,825,355,668,621,378,719,068,597,
442,181,729,851,817,964,241,452,315,688,526,533,284,687,517,301,987,443,060,
134,386,687,760,441,991,933,256,366,963,448,272,455,878,342,032,279,527,482,
823,670,917,193,162,266,191,724,534,389,667,825,248,479,890,545,235,498,464,
925,109,994,639,469,687,423,005,951,532,350,203,959,110,127,376,113,721,770,
696,481,716,834,850,794,291,152,715,282,597,145,779,276,333,475,320,110,746,
918,065,768,587,240,571,921,407,265,344,501,250,326,790,035,660,989,938,940,
716,947,965,005,065,729,177,247,645,977,392,537,390,912,618,691,784,509,765,
897,274,105,455,716,043,641,060,792,527,808,944,118,993,928,081,057,419,755,
479,050,381,279,383,605,981,201,051,575,529,617,193,284,796,606,757,880,073,
853,047,813,053,469,362,528,577,284,767,264,806,429,143,084,614,202,249,086,
152,902,110,314,146,592,738,697,945,604,584,186,716,464,418,525,635,296,237,
930,538,463,150,289,226,383,529,266,557,138,696,636,465,580,187,289,210,645,
717,743,660,641,414,349,097,724,253,024,539,895,436,638,317,717,579,824,524,
358,636,593,730,769,927,862,909,975,423,765,322,517,534,887,270,213,873,580,
070,435,971,618,580,688,965,190,106,776,415,260,254,261,792,348,159,381,576,
897,461,908,615,118,388,046,150,698,738,081,248,717,140,522,883,531,806,980,
412,012,494,790,328,476,918,099,435,178,872,236,290,060,792,328,895,587,508,
411,965,200,386,020,469,316,435,730,362,947,649,612,582,564,674,940,851,562,
399,562,814,878,357,160,662,036,903,566,147,129,108,280,228,222,287,334,382,
487,477,920,447,481,401,178,117,527,793,640,061,517,519,782,914,099,471,601,
093,556,109,068,264,766,540,459,179,607,850,383,837,336,061,100,611,890,227,
629,403,253,045,909,245,548,281,168,513,856,624,996,801,568,651,491,775,689,
869,320,650,271,611,587,786,160,624,234,964,542,391,929,587,974,696,912,677,
365,386,553,605,648,228,609,859,665,828,437,636,295,610,246,853,970,791,158,
227,120,572,872,595,426,984,819,902,886,059,307,150,962,398,474,670,635,733,
205,879,937,594,465,157,144,276,875,597,362,903,205,723,754,319,732,629,916,
365,913,295,318,549,265,213,320,833,766,822,994,839,952,540,784,634,804,822,
319,387,140,917,107,362,435,051,155,835,853,677,760,538,920,407,320,686,096,
926,539,035,582,244,734,319,119,756,402,457,849,002,642,304,933,017,138,235,
413,071,319,984,962,098,344,814,554,316,152,531,474,578,228,724,686,904,924,
331,156,227,688,963,180,235,464,679,174,015,598,225,462,344,659,542,533,135,
758,241,633,332,491,330,514,019,412,400,402,727,075,174,566,808,381,754,690,
000,857,106,587,190,784,161,552,242,180,494,820,344,348,011,994,874,074,408,
061,566,223,953,445,122,595,592,625,591,670,084,351,362,552,807,487,191,849,
108,681,412,507,995,232,399,953,238,644,358,104,129,038,245,218,818,625,705,
903,092,409,220,058,200,748,902,578,396,742,724,752,939,144,684,396,474,570,
403,631,597,077,621,322,086,716,346,898,663,375,401,593,846,476,278,053,780,
885,392,813,274,144,302,934,699,418,881,648,663,855,863,956,006,123,751,435,
408,316,186,967,751,291,134,729,711,149,960,767,557,642,703,054,028,263,785,
080,440,280,057,358,169,179,199,001,179,548,324,864,406,475,368,554,645,599,
629,982,033,146,145,142,046,361,251,565,456,555,279,083,348,629,900,295,600,
863,197,840,660,907,555,563,216,851,899,691,644,622,078,590,258,502,727,468,
948,190,502,149,034,934,280,666,818,204,900,909,065,516,260,813,197,425,603,
118,844,800,242,545,486,327,592,762,686,514,280,852,991,981,692,443,011,531,
602,967,694,392,358,537,298,743,505,046,244,854,322,654,647,033,038,853,954,
817,822,455,010,548,456,229,546,254,149,900,835,717,777,435,653,208,816,504,
113,669,812,425,334,797,295,731,548,951,153,250,234,450,263,415,254,180,415,
527,454,038,172,892,078,352,042,290,392,878,919,866,249,531,582,604,494,469,
300,750,768,836,763,496,623,375,328,657,990,859,383,108,000,707,707,251,663,
611,336,361,574,159,712,032,643,790,455,205,782,057,983,077,228,243,726,138,
751,099,149,514,157,322,107,559,627,519,104,834,544,207,275,843,673,660,297,
179,121,821,534,036,588,632,658,968,419,830,883,547,130,044,774,025,533,331,
237,842,527,533,520,137,381,341,670,461,020,273,291,094,711,805,669,480,678,
229,134,338,542,416,826,437,686,070,504,348,897,247,644,992,602,091,132,469,
225,886,679,057,087,738,540,160,650,668,512,437,511,124,188,907,062,840,723,
895,435,069,850,756,994,055,890,808,803,852,904,525,777,915,109,267,799,701,
675,333,338,458,384,986,442,086,077,809,445,225,643,977,238,216,762,884,184,
980,661,335,610,872,955,570,694,402,234,691,994,025,111,475,619,777,895,173,
714,349,558,532,528,958,859,715,556,422,351,658,928,239,681,171,950,749,753,
758,471,685,047,805,757,197,286,956,674,340,187,386,415,557,189,062,797,105,
644,831,011,781,310,879,883,897,392,300,372,694,972,702,794,389,885,796,300,
773,807,829,118,393,686,211,169,662,779,804,643,859,541,259,550,104,190,900,
478,174,696,320,818,430,671,697,375,744,673,858,010,728,170,762,017,907,182,
183,917,794,955,407,984,425,842,233,173,123,754,682,408,267,061,437,300,536,
857,933,817,636,494,118,038,879,416,282,882,656,201,912,646,397,341,872,719,
599,198,119,149,027,870,999,287,275,985,190,279,267,313,581,272,263,704,670,
484,420,326,446,394,332,366,484,767,418,588,945,350,104,627,712,707,628,341,
498,950,038,376,329,596,423,776,794,072,308,476,063,936,997,253,911,745,109,
035,155,888,906,751,351,751,043,114,107,190,337,050,430,106,707,151,067,690,
487,246,647,180,949,783,187,115,747,941,261,673,189,406,583,456,043,366,889,
102,501,592,857,668,172,458,085,059,024,182,529,644,956,508,227,850,660,153,
277,511,643,255,437,872,260,199,720,380,719,313,504,046,707,932,440,417,143,
802,436,322,655,348,274,395,105,269,606,933,423,603,277,895,676,880,241,416,
622,704,193,421,223,287,493,928,775,419,677,539,399,266,982,595,915,844,518,
554,082,892,953,857,128,956,344,794,945,848,136,507,785,581,004,763,260,123,
322,714,937,505,329,910,310,326,171,892,275,742,841,167,160,717,718,501,682,
639,738,746,463,726,410,889,931,294,694,930,792,463,496,806,982,222,324,431,
765,010,058,664,422,220,600,535,483,605,655,597,166,869,787,795,923,479,037,
117,801,234,935,670,209,652,749,063,242,900,765,314,457,326,091,362,587,473,
025,602,290,401,049,340,922,020,666,868,837,542,288,792,725,779,527,923,272,
846,231,339,060,467,738,862,752,575,912,173,830,290,933,480,727,994,423,639,
867,946,407,665,319,059,369,317,558,904,965,787,971,974,572,960,773,885,493,
909,245,304,513,177,000,310,382,834,989,853,018,852,234,314,559,013,314,615,
452,811,914,259,678,810,530,243,474,530,237,776,849,225,814,192,718,810,328,
812,331,996,993,320,355,085,381,042,361,816,044,128,207,234,056,372,536,894,
974,766,274,461,394,927,232,222,546,264,831,417,345,639,356,072,590,479,465,
046,919,540,790,499,983,804,140,820,875,407,999,346,357,318,521,733,504,621,
943,140,929,333,519,573,294,226,631,995,103,813,018,898,238,832,873,867,981,
328,080,415,923,323,338,441,332,178,533,217,523,523,111,268,428,972,840,812,
803,857,968,729,043,041,546,395,563,113,944,647,057,709,737,003,364,082,904,
195,857,177,153,928,813,203,075,771,661,254,825,679,020,485,671,919,978,144,
232,971,493,264,250,323,343,433,684,302,130,572,765,403,170,136,307,946,777,
271,544,847,966,382,224,463,558,701,510,274,983,997,179,540,949,459,031,708,
715,700,825,237,121,208,052,690,193,498,458,438,825,681,518,023,432,321,241,
689,408,268,971,899,227,239,357,521,520,476,181,539,677,234,393,361,893,074,
772,708,135,548,673,238,341,106,752,833,497,310,432,414,015,175,704,676,431,
222,854,722,743,070,810,468,008,826,951,793,140,645,173,485,144,707,493,767,
089,935,185,238,816,672,318,158,185,214,418,839,836,575,866,225,319,611,615,
538,104,201,602,125,232,904,627,682,078,346,587,480,435,867,396,250,365,538,
378,373,779,236,608,218,364,474,226,832,008,770,450,228,249,939,640,688,143,
200,601,992,062,145,437,704,508,512,332,929,059,862,961,393,267,258,198,913,
912,881,536,870,346,409,077,905,515,937,738,865,726,880,600,082,118,180,109,
524,703,832,537,240,826,831,120,632,984,728,591,427,994,764,990,677,899,601,
848,063,860,379,495,203,768,621,055,409,751,343,965,130,142,068,775,585,463,
894,933,895,928,594,340,104,160,743,065,687,128,060,416,518,621,767,793,682,
254,633,955,933,896,565,007,265,828,526,062,933,908,261,110,416,845,515,493,
112,679,655,191,187,835,142,709,793,125,352,268,687,621,648,087,145,592,947,
345,807,553,253,942,951,870,031,715,070,574,074,340,491,398,934,910,150,758,
546,772,866,003,485,992,636,579,177,208,640,661,285,762,118,603,561,339,719,
542,061,838,878,517,366,373,295,438,825,801,536,319,913,602,742,300,779,064,
259,690,475,204,574,490,364,328,992,626,146,320,698,104,252,345,294,940,415,
867,983,251,477,238,740,352,637,036,075,122,368,863,536,389,688,432,040,435,
301,444,258,216,714,146,434,131,659,760,622,405,368,966,827,327,959,347,811,
659,191,660,916,609,105,981,392,931,700,113,863,435,783,219,058,437,229,064,
312,629,988,156,281,633,918,190,195,599,951,575,172,782,814,854,687,185,377,
385,410,739,012,064,523,824,623,109,114,701,090,956,141,013,931,261,786,590,
681,542,134,436,820,393,056,840,145,673,556,469,856,371,273,017,190,662,773,
131,968,989,262,920,412,800,473,339,483,610,822,345,591,889,062,149,299,625,
639,170,691,166,687,061,841,079,976,459,290,668,109,817,989,021,162,644,015,
819,247,664,738,578,197,801,589,336,750,899,616,971,868,719,913,331,217,346,
072,789,248,092,377,834,419,682,392,127,839,432,166,545,434,137,163,482,495,
143,310,821,273,178,293,882,956,743,378,484,841,806,878,801,195,998,940,159,
863,397,483,640,631,302,246,517,330,069,724,699,646,908,944,925,793,976,440,
919,142,706,087,401,575,488,270,584,140,110,349,126,943,652,683,110,928,628,
973,214,041,033,331,348,473,151,127,248,152,424,575,038,117,337,554,232,601,
363,035,091,256,021,440,366,814,576,550,664,019,275,770,650,111,273,294,787,
640,441,021,409,492,324,333,389,257,612,045,474,160,372,402,665,328,136,471,
481,056,890,283,111,079,060,399,813,784,018,575,780,530,735,045,449,224,572,
282,048,611,957,250,758,516,101,270,039,968,688,265,764,096,368,916,817,854,
565,598,345,597,954,718,716,690,215,228,405,335,748,929,100,606,344,165,646,
395,540,957,845,852,165,707,538,350,767,246,640,800,253,644,035,457,033,148,
128,232,296,120,450,232,423,067,555,627,130,617,483,649,003,205,392,102,682,
262,198,085,678,750,212,066,135,950,211,112,744,102,488,989,019,231,533,310,
928,411,382,955,603,524,196,051,354,335,156,296,469,616,501,981,586,394,369,
726,049,803,461,112,438,843,058,808,841,443,062,361,072,768,727,249,666,743,
842,757,707,011,526,110,513,931,451,325,514,294,614,839,853,517,484,786,570,
783,877,303,002,379,163,369,747,138,222,276,510,602,838,244,591,060,120,271,
336,398,081,533,636,114,057,646,326,735,573,395,043,904,521,629,797,089,485,
612,439,304,440,018,335,710,178,892,817,523,738,960,775,067,157,722,877,256,
576,069,878,345,155,543,607,680,507,135,464,990,964,177,119,831,293,522,506,
699,672,625,319,759,160,515,276,900,763,990,872,027,960,011,864,622,728,603,
112,435,037,389,131,287,818,350,888,948,904,437,388,127,548,328,222,753,610,
264,611,589,460,334,003,564,997,359,027,538,132,277,354,989,981,969,773,535,
760,533,088,240,508,654,856,995,852,186,990,305,039,048,992,484,160,739,448,
676,356,055,560,464,504,156,867,348,268,106,868,006,530,954,583,511,371,437,
612,341,464,104,631,319,957,067,174,173,671,911,478,679,392,809,571,903,799,
528,889,740,829,746,915,765,076,704,720,179,812,947,070,864,231,343,727,322,
555,572,329,677,572,096,722,435,957,959,377,490,949,795,231,338,281,159,063,
511,516,910,225,744,058,275,151,639,744,734,079,759,316,009,184,814,198,108,
324,590,161,950,698,271,458,683,316,960,569,351,220,482,280,174,363,910,124,
097,363,102,298,335,550,918,994,292,004,285,462,473,379,029,469,716,667,471,
845,647,722,779,011,219,899,130,858,806,330,160,933,319,228,946,760,338,658,
962,858,660,406,479,317,144,295,517,390,883,528,699,128,450,929,452,565,564,
156,017,774,881,098,236,660,910,769,658,011,259,581,365,752,966,962,004,994,
659,972,396,799,885,040,731,776,773,037,931,458,354,514,115,406,455,096,753,
955,328,147,078,272,592,527,718,349,430,916,411,881,157,017,498,817,976,418,
704,565,232,176,796,742,370,139,107,697,538,644,079,715,992,486,003,803,593,
528,397,522,875,282,423,169,729,754,436,264,434,629,663,101,896,956,627,015,
945,612,436,297,512,198,023,780,206,473,312,768,839,426,485,264,114,827,056,
732,627,136,327,289,920,325,908,953,230,861,080,371,997,550,438,383,435,402,
963,222,558,274,372,914,332,456,987,564,970,394,543,140,718,159,671,488,137,
453,991,079,099,874,511,630,611,027,511,534,008,971,255,590,708,691,566,998,
068,709,160,460,776,012,092,261,257,236,715,034,786,278,643,435,221,544,360,
275,188,943,320,299,869,204,660,317,760,615,028,743,514,435,441,291,662,183,
572,467,478,500,270,972,788,337,537,058,436,278,570,463,598,210,466,554,972,
094,817,560,966,797,334,792,873,307,875,783,283,829,142,191,867,531,808,558,
136,184,632,532,737,271,013,392,002,226,972,147,919,328,461,599,144,280,937,
383,083,777,633,055,985,564,693,689,350,049,515,880,712,870,938,786,529,745,
247,959,042,100,762,444,489,033,302,881,067,410,391,929,571,876,776,299,132,
490,774,401,930,020,788,605,835,329,976,754,009,992,602,572,537,223,198,791,
852,204,612,580,460,640,663,289,780,654,578,750,115,378,721,680,141,208,125,
615,080,064,087,270,396,647,229,967,481,211,559,087,135,781,943,420,200,335,
535,632,081,559,706,827,303,001,775,127,058,172,327,500,884,987,387,559,821,
850,506,729,567,572,874,087,967,390,493,253,717,283,648,376,693,123,804,969,
704,683,004,377,480,543,162,917,849,945,632,398,148,334,882,976,332,951,673,
604,293,065,274,115,362,313,836,471,501,030,323,336,972,855,786,235,790,166,
800,492,195,849,437,211,935,935,642,373,956,970,689,208,004,735,010,457,501,
380,359,926,427,053,973,800,884,834,881,072,830,062,537,289,294,685,370,795,
421,296,437,203,071,856,081,722,215,563,502,576,644,706,896,931,240,560,468,
611,000,420,975,222,637,724,953,452,905,021,528,166,555,195,709,792,623,033,
796,930,630,280,157,374,346,508,851,304,675,070,964,973,428,028,835,995,205,
551,821,406,964,421,079,261,125,605,185,490,591,875,906,291,054,995,801,627,
491,381,466,585,725,611,728,487,351,024,401,152,530,733,449,986,415,757,282,
061,773,389,051,377,001,880,199,279,465,404,803,183,743,357,022,621,176,941,
712,975,928,540,299,710,558,455,903,592,814,078,344,727,980,193,178,532,718,
402,496,185,395,612,881,374,461,403,011,944,951,736,040,953,909,019,031,355,
510,083,928,789,994,543,186,312,702,913,554,972,274,229,193,204,892,770,820,
866,910,214,479,828,988,940,663,539,000,677,138,301,276,473,346,131,230,830,
911,786,047,576,373,088,987,571,829,384,754,178,683,642,831,702,948,470,292,
140,668,384,778,696,143,235,801,589,527,804,165,539,112,298,334,917,377,112,
433,202,978,165,691,156,207,092,917,076,830,168,942,142,830,187,278,390,332,
891,638,554,487,983,194,246,147,118,518,810,328,116,736,413,283,642,184,447,
091,679,687,872,642,285,252,036,448,856,000,357,775,533,395,193,862,100,284,
909,710,823,403,445,937,019,815,779,613,765,524,876,040,757,876,338,082,101,
372,731,750,022,095,614,196,271,759,281,722,396,659,471,106,198,254,384,818,
513,521,604,790,346,872,036,776,005,913,364,612,046,584,730,918,805,785,558,
811,648,530,232,962,095,623,130,169,175,997,583,490,800,404,934,490,889,771,
566,227,639,612,886,195,169,903,699,614,794,087,289,056,040,796,449,061,424,
229,597,426,413,656,022,893,439,928,020,081,249,066,181,304,417,507,048,130,
119,528,254,357,386,427,978,765,724,633,171,874,189,066,969,074,338,624,086,
657,311,269,378,053,968,460,990,719,391,402,769,519,909,696,713,034,990,179,
638,098,448,197,569,366,869,286,171,659,101,798,505,503,096,370,009,954,038,
033,126,048,966,074,652,908,034,068,950,581,323,733,797,164,985,448,810,006,
304,212,621,039,991,331,176,149,300,160,630,291,708,731,110,272,735,048,544,
717,967,310,176,545,920,459,253,828,445,901,064,345,328,345,503,653,352,873,
902,785,036,984,902,115,581,710,217,854,615,878,709,398,669,931,717,099,489,
815,570,630,507,313,413,509,986,852,660,707,180,095,462,058,753,468,280,703,
210,502,477,928,740,660,254,824,232,060,756,267,798,595,183,442,892,820,653,
708,955,736,009,947,121,184,648,965,322,889,430,594,895,657,924,470,074,203,
192,910,738,368,447,167,659,363,989,144,947,264,971,460,312,522,921,855,420,
495,487,850,494,426,741,941,193,101,242,499,721,486,217,858,437,224,345,048,
657,841,436,951,054,903,901,445,147,938,463,480,225,661,890,732,286,641,199,
944,815,367,945,845,024,785,442,948,439,487,127,508,490,528,419,515,821,168,
338,622,564,089,268,578,475,835,753,329,864,543,030,701,612,396,484,260,605,
745,447,359,381,726,984,118,694,644,547,605,578,960,503,034,269,760,919,829,
969,675,000,664,785,820,376,323,345,857,036,004,151,098,974,915,470,468,478,
896,593,746,842,740,870,178,762,267,641,447,585,512,053,031,697,772,734,926,
136,114,703,282,853,301,080,545,681,939,598,697,986,057,217,019,281,425,255,
714,668,637,796,186,117,210,224,455,720,420,449,464,764,582,674,522,854,144,
008,070,989,228,897,810,246,936,791,391,115,038,109,499,755,867,507,780,612,
106,232,473,735,314,316,537,279,556,357,368,679,126,435,057,466,024,641,633,
354,529,590,956,114,455,909,359,080,686,013,115,208,307,907,453,693,583,437,
350,878,453,092,354,370,201,473,909,324,421,983,325,464,040,492,166,558,617,
024,633,310,250,883,572,166,652,219,577,496,471,927,463,120,489,281,534,254,
883,502,606,127,154,430,541,274,324,697,469,762,316,351,981,614,115,421,752,
059,257,910,620,140,138,821,531,892,470,804,517,686,279,445,638,950,530,119,
009,365,207,661,268,048,647,797,751,080,184,870,515,681,348,053,874,534,628,
329,461,937,899,215,255,843,764,925,502,971,634,309,216,451,822,374,085,386,
788,729,421,832,463,175,838,947,529,452,371,891,637,708,510,685,711,002,986,
895,142,199,049,252,895,958,283,302,453,695,718,882,323,183,442,282,948,133,
592,399,256,661,007,584,450,125,780,559,554,172,280,285,067,598,373,299,146,
662,234,567,374,520,729,972,002,115,438,362,869,516,746,578,529,547,929,776,
247,039,281,687,408,919,400,677,448,383,265,328,995,505,348,240,834,311,877,
706,147,184,375,377,312,434,386,222,209,886,064,684,562,563,360,625,954,911,
118,612,547,421,412,512,365,013,142,881,364,548,011,118,685,446,891,862,302,
372,897,550,584,812,308,397,986,611,445,109,008,835,175,598,040,073,663,984,
421,807,892,034,485,381,379,752,525,659,430,902,414,599,248,788,873,480,978,
771,285,403,864,648,100,575,647,314,346,263,585,036,769,500,653,901,976,143,
631,206,332,949,864,107,738,970,982,785,133,817,476,939,011,727,782,428,675,
614,995,902,490,742,667,298,924,690,291,849,757,431,428,662,255,764,624,162,
989,792,398,081,219,008,553,361,827,110,521,532,248,605,794,906,338,970,461,
350,931,594,290,914,416,745,910,629,666,599,890,471,794,507,389,952,239,716,
473,376,285,053,314,378,662,318,471,007,259,280,677,653,685,803,810,850,116,
811,458,578,810,085,263,054,479,195,273,389,713,808,283,699,389,653,621,253,
412,202,383,728,401,983,282,524,420,658,858,294,038,033,701,111,225,814,932,
490,674,354,513,277,675,701,782,115,869,634,586,579,589,279,875,545,485,658,
158,761,275,600,532,670,595,622,231,499,623,055,235,628,619,389,969,331,765,
609,141,875,489,905,656,524,837,189,940,179,944,838,935,336,996,567,375,289,
296,692,748,054,841,579,452,568,170,385,033,010,146,051,015,357,840,371,857,
642,101,761,792,197,430,367,742,642,200,559,085,860,417,239,750,973,615,439,
379,603,794,302,734,766,084,701,722,079,495,842,182,133,993,621,656,962,820,
178,235,970,473,497,167,306,121,757,415,332,881,505,734,851,246,634,030,826,
516,465,324,096,535,718,415,234,460,728,567,110,500,314,848,774,888,604,688,
860,398,467,763,091,133,939,039,590,059,479,282,464,979,752,385,449,410,781,
190,355,329,131,437,760,005,793,990,042,209,526,705,763,984,371,169,366,827,
191,840,843,396,716,952,404,410,800,901,655,391,902,087,290,980,395,822,311,
173,781,617,322,414,086,216,442,938,937,389,172,596,618,029,611,648,320,296,
844,506,921,429,921,892,890,132,299,349,032,774,286,391,391,834,547,497,001,
655,714,140,462,845,736,193,374,595,607,354,205,783,833,960,716,261,143,912,
780,679,605,910,713,061,002,201,916,590,367,377,991,968,998,823,047,783,837,
551,003,321,754,163,843,863,733,476,141,618,093,436,718,663,875,699,575,730,
557,668,337,517,149,971,324,173,087,203,823,051,070,927,224,282,051,289,387,
697,066,456,731,447,910,433,175,086,599,632,435,899,478,352,067,380,361,705,
363,969,987,939,703,907,986,470,036,208,270,309,877,025,902,059,315,305,463,
647,042,001,428,138,024,968,600,266,135,617,804,402,458,242,527,566,487,153,
334,205,232,469,308,929,356,766,087,601,753,317,724,066,892,381,885,828,516,
513,107,163,802,228,335,778,581,659,690,640,685,639,767,066,574,577,398,779,
836,820,903,923,149,569,597,064,404,817,056,847,919,091,798,735,990,210,989,
332,332,435,697,105,438,939,586,373,548,858,514,412,823,941,044,901,260,178,
785,879,368,307,414,570,752,000,160,292,859,280,923,919,737,292,541,249,819,
620,168,510,984,886,460,186,141,559,265,369,530,370,200,794,964,469,676,573,
860,565,313,652,114,062,713,840,963,180,004,851,441,703,647,644,259,843,487,
631,750,235,234,166,463,782,933,571,446,099,178,851,241,265,522,783,731,867,
748,254,459,384,039,497,526,645,933,760,967,205,691,908,010,640,398,376,564,
049,659,670,747,684,954,024,226,084,405,061,350,627,498,062,827,028,604,140,
483,443,264,186,173,344,782,375,705,547,194,567,132,107,184,889,612,492,079,
896,847,162,958,483,081,893,671,087,036,212,114,084,470,271,911,714,987,717,
515,572,299,948,203,489,794,079,504,786,035,495,829,500,391,951,889,732,178,
701,559,958,280,224,358,118,865,842,675,567,023,829,171,587,176,045,954,417,
297,639,958,521,142,937,645,501,805,631,753,372,294,165,038,874,091,647,784,
391,586,290,298,098,670,372,738,484,177,080,712,763,210,622,228,219,927,581,
952,780,786,288,978,768,219,775,194,089,839,766,755,574,978,187,237,330,068,
877,809,084,431,750,307,839,155,675,155,768,781,184,777,652,699,940,075,363,
097,454,132,281,600,386,313,176,696,780,012,957,374,082,279,095,095,814,572,
313,085,811,243,679,314,294,807,517,965,231,065,239,442,065,992,797,337,039,
431,328,987,065,123,855,187,805,162,726,337,213,968,462,770,192,689,722,780,
748,533,065,373,146,468,323,694,382,932,003,634,181,874,942,212,790,200,437,
551,336,462,012,847,944,127,143,766,797,088,790,732,606,541,391,594,693,658,
570,758,313,655,885,449,183,242,094,121,682,985,824,902,039,494,133,284,908,
429,988,848,062,719,592,385,677,969,984,717,054,642,997,711,393,698,157,359,
496,075,908,000,613,802,360,103,466,715,776,416,509,592,434,373,345,751,511,
400,191,354,238,342,042,473,623,164,714,650,768,872,452,928,127,744,140,053,
440,762,789,899,398,685,629,238,538,441,133,266,271,027,596,042,675,170,221,
903,453,513,781,104,153,056,155,462,606,491,395,719,346,994,828,153,461,962,
734,883,281,263,761,328,923,063,860,707,431,701,859,576,354,762,791,099,840,
935,640,727,927,770,223,790,015,421,188,896,959,865,743,980,901,264,646,039,
280,513,083,303,505,859,905,272,412,731,032,663,122,825,118,192,362,151,138,
752,629,250,208,248,003,931,523,904,960,908,465,828,787,588,012,027,397,170,
667,952,930,388,184,022,416,821,139,533,803,695,769,485,303,691,377,616,759,
140,347,028,484,585,712,742,615,259,088,494,463,354,815,797,585,714,743,251,
863,137,031,147,798,466,501,853,653,191,725,702,068,623,857,409,806,531,201,
659,373,531,888,414,068,780,109,724,760,119,201,297,215,205,274,164,921,454,
597,074,412,286,931,623,913,479,790,967,229,311,234,997,738,292,771,020,249,
600,809,307,652,269,515,325,023,315,058,847,261,505,068,037,081,055,450,871,
164,453,503,335,680,063,024,069,921,626,122,856,360,159,453,659,525,384,562,
555,619,719,377,052,106,135,673,536,605,446,440,231,110,027,264,663,646,787,
026,299,308,094,614,748,805,746,432,816,011,989,713,642,086,380,575,967,283,
731,174,103,054,350,810,002,573,044,475,094,156,721,853,891,927,558,985,704,
166,312,852,286,313,499,182,676,796,806,046,480,791,935,796,834,291,997,740,
737,446,268,212,258,444,008,397,153,154,527,791,845,610,311,723,969,346,295,
660,562,038,250,565,923,350,034,880,299,743,737,548,941,929,272,451,081,249,
613,646,950,685,050,625,726,908,354,625,978,410,017,756,558,341,974,293,184,
511,492,986,236,771,816,121,894,801,696,290,087,938,336,223,586,979,660,819,
632,225,673,795,044,071,341,762,501,178,301,056,273,436,940,581,144,058,888,
481,491,179,015,636,453,494,756,012,860,782,923,922,638,169,709,444,914,603,
563,094,151,238,963,001,383,606,737,779,976,493,567,128,952,519,125,071,618,
732,227,614,692,448,401,451,407,423,787,027,172,611,251,267,865,456,461,661,
171,737,861,226,247,943,243,929,003,050,859,870,102,688,835,782,607,728,022,
915,238,862,827,043,543,978,621,458,319,315,807,144,682,165,105,506,010,628,
274,670,393,142,966,857,785,733,065,969,210,151,957,075,519,941,535,047,443,
746,975,134,182,662,156,587,237,659,260,169,289,451,056,691,180,339,590,676,
887,755,649,065,636,958,411,514,985,670,733,216,483,893,283,980,717,666,933,
790,618,079,157,517,277,432,909,587,116,777,591,967,612,750,707,242,330,668,
460,300,748,548,506,251,475,446,011,346,665,906,746,305,765,986,598,673,029,
288,870,131,849,783,581,452,592,983,720,784,412,774,798,058,294,999,060,098,
929,668,933,516,419,202,046,691,194,021,687,300,166,387,006,591,587,639,614,
757,807,264,205,408,357,437,567,120,534,516,900,512,780,449,864,682,232,321,
900,204,971,790,448,290,475,067,602,590,688,127,861,994,916,201,492,544,107,
749,967,665,404,384,934,960,341,024,555,584,248,944,117,470,731,312,252,499,
254,460,901,980,781,308,242,501,733,965,212,132,947,569,773,947,303,049,958,
526,413,507,936,986,657,850,151,777,305,856,197,531,454,631,945,413,214,416,
648,645,452,115,499,681,124,309,190,541,982,712,426,275,331,450,155,389,403,
533,874,431,031,616,049,724,456,649,893,187,750,861,249,288,389,509,342,140,
081,049,202,367,935,571,782,643,950,070,566,080,687,825,744,345,174,802,408,
132,733,684,814,719,120,904,634,089,012,645,005,112,261,380,165,775,409,823,
116,479,124,761,985,383,173,800,934,228,299,105,384,192,584,094,237,659,949,
391,692,487,536,556,369,294,574,659,050,513,778,395,046,734,091,289,629,920,
833,421,452,022,316,037,260,598,404,923,953,962,360,490,386,472,428,975,247,
776,639,904,914,699,010,786,833,414,153,549,564,292,044,820,261,991,750,873,
538,714,286,402,146,114,586,508,535,515,956,052,123,145,986,420,487,658,903,
817,632,045,371,816,345,442,328,456,969,061,152,498,748,625,999,786,574,144,
011,146,321,674,665,902,087,786,724,687,505,047,615,896,832,864,281,043,035,
342,656,939,005,301,207,542,535,517,282,145,048,372,462,771,734,037,242,289,
071,659,502,668,191,644,274,050,040,572,394,557,987,878,984,276,406,751,279,
923,505,810,487,398,629,749,134,578,709,757,247,111,597,716,988,934,022,941,
006,215,779,376,891,144,895,457,574,886,776,689,275,774,512,842,437,278,433,
600,868,908,329,946,148,664,313,743,862,782,931,557,886,682,756,532,667,231,
511,553,136,815,540,350,527,328,797,960,015,308,841,008,789,352,290,204,121,
072,931,158,457,874,691,903,967,578,988,617,124,465,733,536,853,435,341,225,
628,254,742,008,680,955,839,195,890,518,066,777,459,757,254,936,090,828,303,
512,093,518,904,388,004,790,181,506,457,025,260,989,567,759,433,444,862,716,
810,576,668,216,727,276,613,568,389,187,954,789,725,316,711,689,801,314,054,
970,244,640,340,129,726,560,043,176,836,175,658,932,570,491,353,063,465,876,
515,697,787,342,057,441,515,535,958,660,833,730,495,142,217,047,310,652,669,
604,837,330,748,630,180,475,104,700,120,069,229,933,420,337,032,358,596,686,
579,967,289,884,271,297,661,050,430,017,863,317,616,338,415,038,773,219,156,
192,111,040,030,341,235,207,838,774,776,916,965,286,954,204,369,282,580,246,
184,184,308,092,816,684,848,551,933,137,768,797,345,822,818,313,040,576,353,
028,761,107,005,167,214,160,301,302,164,824,923,340,483,939,621,044,554,932,
260,392,004,850,959,795,187,392,513,922,890,919,001,850,600,905,704,657,732,
095,066,665,995,008,049,696,222,934,916,816,447,580,102,303,559,161,600,262,
816,919,418,989,114,966,309,295,335,499,171,313,424,883,374,541,301,914,922,
471,196,373,126,850,341,335,686,881,156,298,759,761,640,178,057,712,610,563,
747,621,845,022,457,364,108,816,663,264,518,117,145,108,798,017,540,198,083,
101,000,969,304,679,128,556,526,880,426,582,104,380,224,864,761,020,026,562,
518,679,328,404,115,332,359,273,965,168,505,257,253,566,653,363,255,319,928,
287,567,245,408,343,863,380,064,348,659,663,265,113,783,673,522,020,982,913,
954,353,605,486,782,917,817,528,534,409,072,097,294,756,613,425,640,764,676,
989,355,619,382,756,783,962,184,988,917,984,137,295,192,704,085,497,080,654,
169,279,547,097,592,652,713,060,312,739,113,259,517,213,071,298,362,706,249,
053,322,979,354,744,224,641,901,266,054,597,994,601,532,692,808,049,960,678,
048,729,023,536,426,321,255,923,741,145,916,196,136,260,101,197,376,542,893,
793,973,509,885,396,510,300,662,282,793,459,989,561,404,341,266,867,598,073,
642,897,524,853,936,697,075,957,870,037,484,482,326,440,192,074,653,066,605,
557,137,597,955,845,616,570,487,603,604,366,878,668,485,234,241,129,228,835,
804,418,818,587,457,925,862,737,646,669,968,869,991,918,794,175,762,288,837,
838,044,118,566,407,708,841,549,296,126,735,581,143,197,107,428,919,487,847,
585,161,035,816,733,089,043,547,981,735,560,451,477,966,220,286,123,392,987,
613,133,181,791,379,131,324,354,535,313,356,305,623,574,698,286,009,749,416,
697,799,384,130,689,738,967,589,999,288,335,085,297,222,486,253,814,637,571,
351,430,232,096,425,751,159,866,646,561,913,268,581,724,529,881,852,169,937,
021,770,353,860,416,779,167,109,608,678,506,985,061,676,892,497,764,280,305,
854,653,128,512,063,625,741,534,086,491,809,661,706,504,654,553,764,048,240,
785,531,304,760,989,256,822,666,170,818,666,074,490,512,119,809,973,741,093,
853,993,282,453,757,340,893,686,463,001,615,770,056,171,004,655,244,825,306,
455,801,919,498,480,758,133,639,224,339,840,053,572,780,395,817,715,411,456,
070,849,470,395,779,602,461,775,095,764,026,999,317,932,384,384,285,072,488,
588,483,138,279,694,288,073,579,003,786,120,105,348,174,162,930,212,613,384,
228,943,296,150,168,340,475,823,437,048,733,874,427,605,119,364,854,545,436,
655,793,599,930,139,224,214,568,707,276,702,528,144,335,972,335,136,244,302,
145,710,227,370,656,633,198,375,634,610,776,877,495,274,418,201,211,984,349,
027,243,324,261,894,460,910,618,299,701,751,455,605,119,382,667,695,914,581,
466,286,468,551,927,281,189,617,510,878,971,992,132,405,234,525,940,034,155,
362,493,829,162,682,720,947,192,904,402,202,700,234,944,831,572,625,256,097,
014,900,996,203,815,257,274,757,514,359,333,443,379,569,498,914,395,140,089,
798,049,027,822,264,268,687,051,009,528,850,195,069,702,030,742,676,493,988,
263,082,053,053,655,517,214,285,501,843,393,081,620,609,702,398,209,385,628,
511,769,019,205,853,029,679,612,759,712,710,504,141,631,600,803,797,792,885,
160,249,435,127,103,655,488,668,241,569,301,965,894,778,995,414,843,124,907,
542,943,791,124,128,638,235,242,662,509,022,418,198,023,584,289,435,643,407,
539,179,731,143,281,014,763,230,508,893,925,610,555,289,808,625,169,696,890,
668,454,088,493,431,471,612,219,338,530,393,504,709,991,048,927,918,488,984,
457,623,928,898,066,509,711,088,313,279,958,085,619,057,544,818,215,501,373,
603,463,054,795,721,756,958,057,488,097,625,418,012,714,625,407,056,594,921,
544,009,011,232,291,564,069,614,137,056,956,836,368,285,694,388,986,902,128,
746,012,984,878,195,011,297,436,659,920,933,431,865,800,822,672,026,175,543,
590,153,201,429,731,235,174,856,884,335,526,710,466,136,951,980,538,341,562,
439,659,339,515,077,998,943,122,318,531,008,100,878,376,767,943,503,277,781,
584,816,840,871,512,271,925,700,301,219,963,087,844,347,698,343,103,147,030,
514,613,489,734,950,651,878,789,975,749,864,710,937,224,470,811,292,999,533,
979,671,898,517,210,986,268,605,682,689,068,197,713,261,727,069,502,091,020,
989,334,598,179,357,453,841,248,685,212,115,191,671,538,751,108,595,294,418,
716,204,684,154,005,649,505,960,398,190,728,404,060,419,158,313,520,500,781,
724,433,921,259,519,010,204,290,369,205,608,690,295,069,204,799,017,849,091,
279,701,466,969,154,579,674,822,759,985,848,447,612,606,061,375,404,585,664,
388,178,750,514,718,337,239,603,426,955,773,383,914,565,117,116,717,491,403,
182,604,952,872,534,306,123,863,543,278,513,858,082,791,457,062,758,371,435,
167,092,476,026,941,914,492,677,273,460,163,486,453,694,166,716,157,965,898,
368,332,880,878,588,909,898,608,287,998,966,511,752,060,994,919,344,311,689,
193,052,092,870,727,667,914,298,565,788,859,484,369,063,951,438,475,920,966,
169,596,313,815,122,492,038,191,775,493,084,096,508,098,748,239,975,851,931,
050,171,114,635,781,228,720,883,055,217,922,855,322,564,890,425,579,925,684,
312,357,133,864,034,636,881,698,084,862,489,718,704,714,583,856,419,105,759,
261,485,201,288,953,826,709,677,999,056,252,342,726,878,187,745,012,442,319,
618,493,423,420,217,847,733,779,241,652,448,974,936,045,078,336,678,153,752,
350,411,477,830,156,963,234,404,330,036,565,653,594,479,578,827,239,967,576,
758,759,415,079,938,761,286,778,053,711,813,882,260,709,350,087,715,487,602,
721,995,739,413,084,778,461,307,390,463,859,542,515,031,795,958,328,620,208,
971,576,258,354,810,501,520,990,900,838,819,240,484,321,050,743,205,443,766,
140,169,127,635,866,736,347,762,313,998,572,363,859,161,138,083,642,985,976,
150,039,337,428,632,482,770,716,329,244,259,891,334,710,219,753,962,410,855,
143,987,147,307,547,464,893,254,882,075,242,339,675,398,919,538,241,370,914,
891,412,514,510,954,041,426,496,306,100,892,435,890,160,358,944,018,938,653,
043,192,053,362,860,498,944,993,582,001,122,152,683,702,994,578,645,876,647,
833,982,013,696,575,104,091,483,223,914,911,303,785,586,690,665,086,446,031,
362,875,435,071,209,744,151,050,436,536,424,079,242,913,857,884,358,992,894,
673,821,326,771,437,526,454,487,993,590,980,508,723,342,813,356,021,128,473,
920,087,281,747,125,923,064,108,671,118,187,730,472,069,739,110,999,145,739,
945,585,319,350,059,271,195,446,501,630,129,324,482,712,057,729,474,426,147,
381,101,345,224,048,153,124,301,245,485,376,158,454,221,378,272,487,405,592,
194,606,765,988,054,031,212,477,729,992,552,574,998,906,465,293,009,624,330,
056,121,541,220,167,891,947,189,135,023,326,071,092,780,659,642,554,300,987,
405,020,980,822,771,888,612,873,118,292,516,266,456,327,430,491,094,920,418,
820,444,381,159,527,779,036,198,908,743,537,254,821,543,004,266,213,939,952,
523,303,973,463,811,715,447,854,592,050,998,550,313,291,110,842,970,889,676,
662,465,135,383,499,502,603,319,827,775,695,268,832,060,285,035,326,842,720,
667,588,400,316,911,852,882,821,099,533,052,590,440,433,175,162,074,553,491,
705,741,804,756,397,667,637,091,142,445,335,229,283,036,887,455,507,350,580,
804,575,157,653,416,952,947,574,674,287,749,443,210,991,997,816,533,151,040,
119,698,137,213,232,572,792,040,759,630,500,557,470,132,440,477,564,376,050,
754,075,626,370,582,453,912,962,822,084,500,410,054,931,600,589,635,417,201,
912,889,093,750,601,431,179,938,372,330,898,668,919,457,978,901,671,010,994,
415,962,334,857,745,859,387,916,898,388,449,372,397,526,395,312,305,267,981,
985,147,227,477,948,300,007,215,626,786,315,992,986,740,856,378,109,934,034,
920,970,993,623,036,293,982,631,807,510,806,535,833,016,183,170,990,457,674,
455,516,489,291,331,030,462,068,242,021,572,881,278,834,851,337,810,850,524,
687,442,340,560,341,142,391,506,654,555,532,640,835,921,214,267,659,086,288,
340,149,733,134,128,568,378,572,461,898,904,807,322,162,146,816,137,455,580,
466,748,282,799,288,388,218,572,877,485,395,430,372,871,647,285,212,562,649,
760,204,274,098,441,127,281,670,642,714,405,086,667,537,415,308,468,775,873,
694,342,467,090,494,490,242,183,501,816,954,950,972,547,838,874,466,851,017,
736,808,855,872,446,908,411,686,309,885,305,272,629,013,841,677,496,673,338,
798,944,706,135,364,374,060,826,143,495,909,160,616,345,823,800,182,297,978,
782,627,731,693,451,170,670,075,016,892,098,200,790,153,441,790,155,547,460,
632,359,369,760,723,937,996,295,017,723,901,832,794,787,608,059,233,169,588,
161,360,604,174,235,316,329,117,028,207,188,369,726,725,168,435,783,284,705,
135,445,921,459,464,726,130,844,736,645,417,125,278,957,422,094,648,461,595,
307,342,562,919,802,000,447,207,413,434,233,634,078,608,442,556,178,898,266,
183,721,800,822,910,227,301,222,659,477,233,834,750,728,073,808,243,333,699,
035,292,551,122,378,164,124,221,848,588,605,825,657,774,015,148,025,264,057,
510,245,805,428,917,889,224,421,158,948,350,970,888,516,336,029,634,424,160,
891,950,233,899,656,172,296,737,387,536,999,081,824,860,932,077,850,674,988,
337,296,043,955,120,597,374,269,577,383,474,617,415,556,421,000,406,166,641,
465,422,699,631,903,265,119,609,428,166,648,782,037,537,611,375,613,748,980,
870,067,409,387,551,035,073,868,425,875,724,793,653,802,308,538,444,272,731,
587,540,734,067,240,453,235,170,809,263,406,125,777,889,126,391,716,725,444,
354,050,030,813,763,095,131,360,407,858,391,577,970,956,748,948,142,161,600,
579,062,965,443,620,700,958,836,193,097,706,171,906,114,883,395,740,190,280,
857,600,167,885,548,525,148,617,197,062,602,575,652,903,956,299,830,253,002,
559,571,198,792,492,763,147,924,632,341,288,008,460,356,296,735,282,563,533,
994,367,261,224,559,870,496,922,605,383,804,290,186,131,046,202,531,598,789,
429,857,402,151,392,880,008,335,297,451,374,070,903,768,956,553,963,829,003,
707,889,621,627,347,873,489,880,812,145,668,561,643,616,927,421,484,536,314,
683,647,891,802,428,079,267,625,008,162,330,368,124,581,831,904,860,653,419,
794,306,266,427,003,050,674,615,954,357,976,963,933,216,690,394,180,013,598,
136,340,778,796,823,727,260,504,904,612,976,457,252,530,733,545,057,556,084,
753,080,532,008,272,554,436,267,749,876,461,389,266,075,858,226,703,691,219,
732,727,336,427,404,181,251,591,629,251,650,342,217,758,744,844,515,904,179,
716,340,028,891,749,260,831,931,243,990,430,039,566,840,855,294,029,578,121,
042,795,669,631,717,719,920,960,318,934,645,637,095,538,474,984,253,022,522,
820,597,320,088,170,220,203,975,895,042,576,653,305,894,886,635,940,620,500,
188,984,185,822,504,393,653,356,378,495,548,241,532,692,836,871,562,528,945,
970,867,594,734,274,056,576,566,157,065,854,218,590,331,118,850,861,336,864,
313,768,689,002,697,001,791,710,418,088,872,058,234,754,199,593,664,416,709,
988,004,686,991,131,362,703,193,871,273,337,855,230,095,485,410,706,691,978,
105,446,020,161,575,629,242,554,626,170,438,550,075,040,598,392,677,155,289,
386,695,786,208,995,141,220,072,973,269,761,799,308,907,525,679,916,017,028,
257,254,299,385,631,476,738,124,886,194,377,176,547,050,237,585,084,691,778,
804,165,660,383,399,346,427,636,133,669,963,539,784,812,641,979,799,961,711,
314,867,598,194,231,499,998,432,066,611,050,865,362,166,631,510,301,658,150,
628,591,721,917,847,444,808,571,910,733,533,380,443,418,599,573,290,694,854,
911,502,793,310,775,733,876,060,133,703,101,271,226,329,973,177,999,061,893,
710,744,210,304,430,709,504,848,571,260,416,878,798,709,526,277,048,680,252,
425,131,221,983,230,801,221,536,824,327,276,457,885,783,288,732,607,151,362,
744,766,036,407,923,503,527,270,835,220,786,937,979,760,689,130,091,297,282,
270,076,942,220,123,274,311,525,466,205,576,849,426,057,740,309,494,081,901,
782,994,136,424,145,059,938,325,825,036,570,173,118,014,384,677,023,792,939,
664,720,390,673,932,740,351,805,846,055,361,879,793,220,089,899,981,655,855,
947,635,935,970,237,350,174,810,636,488,377,317,110,395,528,035,466,229,995,
899,614,638,743,235,816,869,443,200,573,492,614,396,622,449,591,333,879,954,
286,664,653,128,834,206,806,791,400,483,586,716,019,952,444,934,612,785,805,
417,986,207,634,174,021,250,910,593,500,706,864,896,540,675,860,280,953,401,
496,818,336,261,538,540,935,516,140,819,735,204,885,608,577,862,494,959,647,
300,505,928,615,110,237,602,679,342,760,260,804,277,563,086,344,990,256,472,
511,120,062,964,702,761,948,834,207,204,298,409,939,569,439,441,788,877,846,
183,180,958,193,825,272,273,201,945,361,279,576,757,439,818,263,355,610,979,
760,162,111,980,485,524,256,315,481,872,828,732,779,737,557,471,353,830,577,
550,164,112,011,505,210,919,829,802,959,423,126,355,418,840,577,906,177,169,
002,960,762,722,313,285,408,741,392,059,618,740,060,841,059,871,875,981,647,
459,754,084,034,448,920,705,066,301,800,971,713,608,981,997,329,956,753,055,
379,551,614,722,917,535,607,161,268,963,028,225,619,892,227,652,654,594,353,
453,604,816,607,158,262,467,089,576,275,293,302,674,701,738,687,608,257,444,
034,347,732,089,000,179,103,802,229,145,840,776,187,105,873,581,398,293,474,
388,703,298,788,649,050,018,771,200,201,134,252,495,579,868,182,749,792,614,
058,686,487,425,584,503,958,949,780,600,421,404,111,217,164,503,439,527,961,
652,793,867,960,931,806,630,553,387,838,052,277,902,304,020,785,413,168,022,
705,455,526,991,267,588,750,739,241,271,553,440,709,084,927,052,371,208,719,
617,186,123,444,470,509,275,139,710,391,315,690,293,126,445,544,026,190,181,
400,431,467,348,642,846,117,013,915,807,089,626,013,172,200,914,255,264,277,
885,085,662,069,570,727,375,874,212,428,728,719,434,929,840,739,193,798,238,
428,864,042,989,401,077,125,482,780,585,935,217,411,566,849,034,220,225,099,
120,050,059,191,830,219,006,277,697,361,506,914,360,189,544,521,718,051,627,
383,778,856,305,135,692,925,948,532,165,254,287,645,952,654,566,313,756,275,
213,253,707,230,580,754,574,604,388,737,167,454,014,407,451,291,143,634,856,
157,006,997,487,995,712,934,647,376,974,056,869,281,914,474,273,051,504,171,
583,456,289,771,039,439,849,973,749,077,433,184,572,450,855,677,820,800,861,
591,691,417,178,918,705,995,953,539,672,921,554,780,780,321,851,064,089,549,
518,618,293,683,127,521,149,113,936,518,489,410,247,617,245,772,952,635,608,
943,198,483,144,774,509,455,257,838,285,934,735,070,026,851,953,795,246,888,
962,872,469,171,509,339,160,326,614,734,077,838,021,708,549,601,721,902,036,
724,052,939,199,353,855,481,616,951,037,554,150,319,505,828,526,351,163,785,
986,826,335,039,256,619,454,753,230,600,868,513,518,779,844,262,123,629,408,
121,809,095,849,186,921,303,952,638,065,321,433,434,834,477,281,053,720,255,
559,159,690,889,977,401,997,451,924,559,238,004,692,933,747,515,914,463,808,
463,023,515,323,989,247,616,414,021,123,261,531,012,106,073,485,922,299,593,
237,035,989,532,627,242,316,338,360,114,937,681,312,112,869,418,648,463,033,
166,030,559,652,070,815,578,303,888,737,848,517,934,652,640,151,753,853,823,
910,771,040,423,432,697,760,429,509,084,508,563,444,743,631,972,201,066,654,
353,524,658,228,627,447,621,015,764,301,258,397,605,144,858,071,803,010,309,
515,884,229,787,618,489,578,225,485,021,493,746,002,412,618,693,885,554,906,
314,540,350,686,833,512,520,937,887,402,526,001,882,993,696,789,236,354,815,
996,192,842,553,101,715,714,202,933,064,061,319,442,508,994,800,666,269,776,
073,667,107,472,557,581,758,799,740,813,417,591,360,295,622,833,342,102,515,
110,995,982,811,975,963,559,109,288,411,718,256,453,139,067,755,652,888,705,
761,943,420,552,512,089,951,688,231,683,138,281,677,076,753,816,328,260,098,
869,773,036,878,542,995,495,301,826,000,351,793,226,860,121,597,367,302,603,
130,969,588,987,589,067,015,297,558,906,595,749,847,915,346,640,116,471,383,
590,708,418,789,271,024,202,723,213,700,003,161,660,414,723,506,401,521,626,
340,964,304,899,631,617,563,521,107,815,960,262,555,269,927,992,122,725,649,
676,724,841,282,498,111,951,589,757,404,347,234,097,370,616,012,457,921,026,
684,920,015,436,812,250,951,636,578,803,128,069,093,806,822,872,133,710,514,
757,724,868,261,345,530,709,118,452,423,246,480,542,260,542,949,594,972,440,
660,547,952,397,927,638,723,369,199,934,110,227,795,836,722,639,216,026,642,
194,510,856,033,654,640,812,642,197,128,127,966,408,562,041,573,257,826,818,
094,865,835,824,874,593,214,886,342,574,125,334,153,440,243,076,285,744,716,
942,092,592,716,749,501,246,128,295,218,836,231,736,942,739,998,959,508,090,
440,109,720,186,479,534,047,799,841,060,904,403,441,510,380,961,603,737,481,
231,304,052,024,607,541,026,939,933,112,452,685,123,756,795,783,987,273,501,
872,287,876,146,480,184,392,499,254,420,271,645,279,367,623,498,506,316,728,
127,969,785,054,832,792,175,038,148,600,533,916,747,687,044,443,456,080,010,
551,120,027,834,127,752,235,141,041,637,092,474,156,096,428,222,634,756,823,
437,470,887,036,776,923,351,971,105,977,054,477,479,867,997,263,430,612,255,
219,225,141,994,628,357,925,950,915,209,323,193,900,595,999,763,194,695,031,
734,113,698,142,632,294,618,039,336,217,445,241,619,674,547,316,845,263,661,
867,354,096,211,512,787,541,173,118,918,400,500,460,552,391,854,951,018,914,
227,490,685,233,869,080,731,058,046,328,730,227,389,504,535,659,071,625,423,
793,929,000,805,063,389,160,077,923,704,245,388,003,933,166,630,124,042,922,
380,081,990,073,378,355,088,497,415,432,923,468,382,373,633,811,141,639,465,
055,771,729,180,867,776,878,831,648,329,002,087,623,505,745,434,333,838,046,
523,107,048,550,265,772,146,454,835,475,138,271,713,537,032,553,754,830,393,
688,033,335,751,304,331,391,312,452,484,350,183,621,930,952,348,766,227,095,
079,570,301,328,707,856,942,412,781,620,599,088,798,117,919,268,231,225,350,
202,303,636,486,667,917,848,753,298,211,332,874,097,954,961,386,961,011,745,
219,872,445,823,879,872,526,550,346,241,993,253,071,987,036,291,630,353,062,
492,715,001,317,662,231,240,118,829,031,288,336,174,106,316,168,055,125,338,
537,908,435,027,857,360,056,175,584,284,761,733,581,293,044,497,673,515,476,
530,064,893,573,998,694,337,379,414,292,948,869,446,581,250,017,187,047,758,
172,148,287,691,837,023,141,705,501,813,442,815,591,294,612,453,164,531,386,
967,055,539,414,646,160,145,649,188,833,390,687,991,157,662,074,494,987,223,
761,621,518,605,158,328,545,358,720,669,181,688,703,114,388,160,813,910,558,
914,273,641,354,274,359,842,667,063,282,824,521,605,281,768,879,040,607,725,
125,769,698,348,475,493,232,091,856,703,552,314,508,187,890,403,327,908,317,
395,468,783,941,630,102,976,526,989,292,360,604,137,874,667,191,041,791,902,
530,948,392,140,798,956,736,063,720,716,786,075,018,863,918,459,683,073,417,
505,430,935,119,207,149,493,161,821,638,947,645,312,888,693,034,398,495,757,
817,998,488,367,083,231,801,245,409,487,459,592,202,995,327,084,996,819,819,
770,034,607,350,286,668,781,963,348,899,874,369,680,659,004,097,866,810,112,
115,444,062,634,900,667,319,696,804,969,032,896,283,241,821,632,931,655,116,
548,365,621,836,591,191,775,941,764,633,596,202,004,769,711,227,725,215,565,
019,476,896,619,567,853,071,457,635,563,248,327,855,850,268,036,155,166,969,
528,520,858,217,429,984,657,885,345,003,002,445,541,805,478,185,671,811,196,
712,252,856,639,204,770,525,647,336,193,287,717,464,728,678,929,852,564,125,
710,263,006,389,925,226,669,179,895,232,231,231,705,132,171,249,386,036,957,
647,875,410,585,963,687,251,120,417,630,215,874,665,020,427,422,241,534,214,
189,268,727,378,024,108,575,022,932,792,644,896,814,123,229,941,609,984,666,
544,576,552,436,217,003,852,978,095,274,678,034,766,669,439,977,278,715,078,
116,617,987,074,205,207,684,150,520,581,593,875,591,056,473,880,702,555,397,
433,476,546,111,308,977,529,908,424,653,941,698,522,151,512,658,767,879,621,
165,754,521,779,418,026,122,576,078,293,993,600,635,850,553,761,496,824,488,
541,909,903,177,639,177,652,938,222,081,051,785,199,486,817,565,271,823,496,
855,455,443,751,934,697,521,808,401,391,203,847,474,140,582,630,605,499,531,
696,538,410,330,328,660,403,077,764,931,975,597,520,440,588,544,960,517,550,
575,320,207,042,351,779,130,606,143,265,602,558,226,587,731,538,029,487,850,
664,162,603,052,135,143,158,311,842,920,864,563,594,753,676,101,619,559,665,
214,380,427,173,068,147,619,369,316,542,520,331,222,943,679,168,361,720,450,
865,576,273,046,520,227,058,750,995,912,171,984,720,205,008,299,394,458,946,
605,656,189,313,100,280,471,437,196,851,487,892,474,678,942,924,429,579,042,
130,063,457,378,949,715,818,541,727,825,531,360,160,815,870,150,725,886,575,
008,654,651,045,309,878,991,029,036,401,097,308,006,809,710,403,923,840,305,
119,399,194,674,887,762,873,152,773,596,298,726,140,217,013,129,249,960,951,
778,675,543,089,513,724,259,630,337,718,634,072,931,651,804,834,454,452,630,
451,127,031,220,742,337,067,248,762,975,047,682,895,011,885,389,620,137,540,
323,142,894,318,024,972,170,086,584,688,443,550,973,950,428,831,686,937,079,
376,490,933,616,128,762,586,895,119,231,234,592,788,457,381,255,861,886,202,
397,330,183,286,720,409,637,103,723,090,192,678,842,609,929,044,087,734,092,
788,157,324,653,427,441,695,874,616,630,234,214,932,901,714,152,313,948,013,
009,876,457,723,190,445,786,651,034,509,406,105,063,528,001,328,395,411,319,
563,436,393,136,925,368,542,454,342,470,741,083,282,406,274,201,306,595,063,
717,100,860,712,255,775,322,401,681,906,326,840,520,700,855,217,165,976,709,
305,990,775,162,362,065,682,667,477,930,022,814,817,891,643,653,350,621,699,
146,495,093,806,695,542,931,400,602,903,591,601,545,000,107,127,688,656,675,
737,675,144,841,518,363,773,722,899,900,844,167,916,585,815,699,141,372,048,
667,162,789,658,929,843,904,072,716,019,177,666,311,780,312,780,282,870,602,
536,698,799,965,834,826,159,969,471,687,526,426,635,536,704,802,691,981,942,
103,746,724,490,222,062,481,313,369,280,862,397,781,731,220,384,338,994,893,
683,365,385,860,341,289,752,957,863,070,786,268,162,374,616,995,671,915,218,
102,171,030,550,451,303,946,000,485,512,396,379,048,522,716,954,007,181,465,
961,150,390,126,981,240,795,238,054,603,322,557,563,635,726,627,163,546,726,
773,098,750,969,091,276,933,522,509,857,196,965,437,114,771,341,096,305,253,
591,848,313,736,209,600,789,103,977,982,541,040,732,031,698,050,493,804,692,
100,802,925,952,250,766,733,858,122,123,314,701,607,902,569,225,729,722,406,
788,414,568,249,203,746,683,046,603,670,274,466,366,835,069,330,279,037,856,
267,742,063,979,068,139,326,735,921,314,752,619,110,275,052,192,235,274,747,
877,156,430,833,571,994,004,079,290,230,251,512,866,864,411,782,139,252,228,
996,045,721,840,729,746,762,698,676,528,806,615,345,605,094,099,640,959,610,
712,675,245,461,586,369,133,591,854,371,805,206,734,519,534,348,722,796,366,
969,828,791,017,175,410,604,477,462,033,654,622,325,336,024,820,859,763,530,
424,195,867,400,102,015,487,717,048,404,466,518,083,385,551,299,499,243,455,
177,944,030,948,287,363,903,035,795,137,322,914,657,860,279,316,912,060,130,
309,261,424,221,487,902,831,892,639,298,885,723,888,668,842,623,083,347,362,
328,024,330,212,368,734,788,904,324,804,661,337,757,018,801,828,527,767,923,
369,993,252,838,621,653,282,653,716,142,137,353,613,740,756,429,721,669,706,
966,070,042,994,796,332,724,521,526,689,444,072,922,143,718,129,722,600,874,
569,131,767,024,046,558,016,564,896,347,306,672,614,397,675,028,516,001,357,
365,543,903,156,685,337,558,942,814,967,518,062,857,568,321,886,004,239,241,
488,804,839,916,323,703,467,046,741,472,326,427,749,857,644,077,595,133,527,
406,454,592,735,139,708,804,786,376,144,057,914,449,305,496,816,742,380,984,
020,958,111,492,871,636,282,632,830,674,601,530,117,390,039,910,092,018,530,
323,135,557,295,999,070,482,117,545,769,260,131,653,658,501,940,491,920,338,
965,984,652,890,563,797,311,589,036,294,673,874,292,506,983,610,432,094,165,
737,327,703,373,710,750,078,023,186,325,865,715,913,334,427,979,088,367,100,
469,311,491,402,667,902,262,271,277,717,301,598,789,546,707,958,386,294,002,
534,196,250,978,783,007,999,381,159,202,306,839,371,565,485,202,094,384,845,
819,529,038,734,993,769,222,511,932,445,566,832,546,740,381,853,313,086,168,
390,864,268,546,345,560,694,423,736,583,461,326,757,375,328,250,425,275,508,
368,563,165,947,588,003,105,821,049,610,446,375,273,896,177,103,692,886,071,
811,292,798,740,197,384,480,250,032,741,380,746,795,209,697,783,217,409,878,
640,321,811,975,095,557,828,034,016,964,989,180,537,398,347,043,955,796,730,
439,654,653,582,991,321,684,787,398,283,525,453,696,378,992,739,149,616,110,
812,063,204,728,893,302,651,764,504,969,763,029,984,618,852,279,567,519,076,
130,405,556,940,726,562,402,029,279,773,801,853,333,922,199,822,499,767,719,
306,865,050,440,063,001,673,860,563,253,892,257,596,158,873,673,450,180,278,
642,152,485,685,412,782,652,354,075,976,539,233,057,842,750,998,289,562,160,
634,087,976,468,549,854,137,323,812,018,985,315,935,797,995,791,057,240,818,
899,595,644,015,110,080,003,333,779,485,128,907,213,594,627,407,446,204,407,
203,811,623,062,478,221,849,341,293,713,646,184,410,572,428,830,453,926,483,
597,528,829,758,016,993,664,461,057,239,795,112,477,412,415,026,039,336,782,
180,615,483,002,856,160,458,216,413,986,166,459,756,978,603,356,613,411,776,
660,934,280,485,776,904,593,728,425,980,604,689,658,544,211,351,320,756,333,
116,405,507,195,414,864,280,533,938,208,933,145,664,713,854,661,158,834,126,
051,187,425,342,577,778,318,478,487,299,492,209,518,085,401,387,006,403,276,
081,412,042,625,937,345,816,119,563,997,705,257,381,263,396,833,224,299,978,
802,464,926,630,947,621,918,946,940,699,960,087,336,936,492,011,994,420,465,
773,209,707,463,046,710,450,153,020,684,396,640,314,115,463,184,465,232,476,
762,583,094,356,975,853,783,188,596,974,469,956,182,399,606,080,168,709,953,
310,836,476,099,049,035,202,485,194,634,848,107,701,935,227,987,950,459,145,
469,799,100,389,070,335,423,304,576,304,456,224,210,293,913,967,755,300,521,
624,829,208,574,993,937,463,675,150,914,699,752,658,317,843,424,754,562,488,
584,236,339,167,013,618,076,628,401,426,926,710,842,683,217,040,993,622,539,
633,763,345,623,105,803,532,934,456,942,259,876,275,878,075,386,526,318,761,
152,109,468,841,802,776,683,234,460,296,351,732,496,064,195,110,849,793,547,
955,790,318,967,088,250,052,121,315,360,577,831,169,555,675,270,671,521,733,
200,976,297,086,621,584,727,147,045,162,314,821,450,713,043,403,123,372,413,
590,563,567,808,820,171,476,337,371,562,757,008,800,165,940,387,783,901,344,
013,223,642,958,466,769,034,856,583,516,118,955,174,656,050,545,691,533,794,
219,133,925,090,544,238,340,648,928,138,766,902,355,791,937,657,873,020,956,
582,737,241,188,815,185,111,259,151,238,045,216,924,001,251,744,547,294,988,
812,169,118,242,039,805,515,329,185,210,467,989,819,073,568,005,543,022,166,
921,419,006,135,996,228,299,928,796,774,700,061,519,045,625,727,095,614,169,
825,439,982,042,682,757,961,963,625,807,336,997,716,019,509,411,559,921,699,
611,978,704,464,158,005,502,721,972,332,780,011,392,616,548,709,064,919,383,
174,451,595,702,429,758,798,955,662,257,810,036,201,293,536,939,109,180,530,
328,171,762,039,195,798,977,165,272,476,429,092,683,527,493,311,887,334,606,
064,123,893,105,992,264,217,817,609,702,872,131,554,774,273,794,094,387,730,
203,681,305,620,166,661,072,700,728,930,365,121,505,010,967,726,255,619,220,
576,109,376,139,439,176,821,828,889,673,236,332,312,733,199,243,483,207,015,
249,564,948,093,472,398,526,264,194,725,081,823,048,926,516,750,042,031,472,
170,313,702,089,936,987,024,632,244,639,288,849,921,563,637,071,577,664,000,
628,345,814,929,021,442,435,562,229,727,617,526,787,081,006,755,871,229,705,
655,672,073,777,612,947,588,205,690,365,552,146,861,974,196,622,061,328,237,
246,135,633,233,799,536,561,371,674,529,669,824,486,243,107,941,849,264,402,
959,378,385,678,665,035,920,555,701,372,977,544,483,550,428,652,940,021,983,
158,838,669,564,291,580,288,786,046,444,501,535,035,353,213,421,179,627,020,
547,607,593,281,934,625,787,949,726,681,904,127,359,750,757,726,387,853,467,
642,634,869,735,447,488,239,064,046,637,454,119,234,406,487,271,950,535,534,
980,615,751,873,035,896,454,478,703,687,487,003,861,387,973,349,718,908,703,
321,617,771,039,769,421,583,215,652,729,796,369,674,640,807,604,889,506,541,
672,984,107,526,990,729,733,895,790,701,774,070,034,534,343,201,100,227,195,
367,590,534,678,069,223,004,830,190,264,417,343,372,928,872,884,710,754,811,
121,726,975,988,679,166,575,798,401,012,354,006,735,914,730,317,868,580,013,
541,007,495,749,648,652,916,722,251,324,760,183,170,684,984,429,425,583,589,
915,535,503,802,932,581,116,628,469,216,968,626,492,049,448,023,231,815,526,
973,679,658,223,098,949,190,250,973,021,209,620,152,015,972,209,556,360,164,
188,634,633,344,809,030,370,712,155,977,164,664,267,410,788,894,352,449,801,
136,864,225,589,308,186,347,843,939,403,392,843,635,355,160,690,986,982,141,
147,617,203,025,876,843,306,826,893,502,249,392,602,508,270,690,556,595,433,
296,799,943,704,160,950,987,035,235,623,282,365,748,447,832,739,674,095,429,
965,703,099,336,213,068,105,179,236,549,016,066,799,147,421,250,944,853,161,
237,483,339,778,873,659,274,654,149,493,689,636,643,942,479,223,776,731,017,
500,672,661,038,741,327,363,642,036,290,191,165,092,643,558,387,851,393,425,
108,712,453,320,659,721,501,498,710,747,536,535,160,584,236,120,307,850,641,
303,439,076,261,824,264,181,304,610,907,639,362,638,420,102,487,299,147,832,
856,169,687,419,866,433,335,061,499,226,010,032,898,946,695,880,611,159,369,
879,249,873,937,518,467,783,219,560,628,761,817,207,043,043,207,314,557,051,
486,060,031,723,865,256,934,356,000,145,920,152,816,661,989,698,125,009,805,
646,255,206,912,007,718,803,413,084,314,575,839,086,575,082,605,961,751,712,
069,598,840,049,597,822,621,062,315,277,783,231,433,858,393,561,714,595,195,
652,053,682,695,937,639,044,892,954,962,691,763,381,753,007,367,082,203,843,
938,478,587,427,314,432,402,119,892,322,397,899,801,232,944,304,054,704,204,
111,888,659,041,883,161,105,207,050,825,223,936,860,763,533,999,687,185,264,
879,664,870,974,990,486,403,860,501,597,863,098,101,231,365,579,452,384,263,
723,007,839,341,120,883,224,244,647,941,335,124,010,544,331,444,884,298,701,
833,429,235,405,164,104,976,170,627,196,196,839,861,358,043,510,726,072,226,
650,753,107,859,839,191,991,040,136,077,679,844,945,429,990,760,973,714,484,
171,215,360,990,248,168,681,826,458,916,708,123,678,919,839,043,230,442,437,
165,265,785,121,520,041,207,498,291,329,338,257,090,892,742,223,115,182,560,
649,508,353,954,635,490,169,264,512,134,379,742,983,756,983,081,085,798,120,
294,066,528,583,573,458,618,829,002,930,760,939,866,295,618,798,428,462,447,
929,127,963,138,396,537,259,653,430,594,912,407,913,187,736,510,402,881,313,
780,790,628,750,950,690,389,319,765,287,161,338,668,884,557,114,376,490,906,
137,259,372,210,301,097,182,960,688,308,935,413,824,099,957,742,060,290,923,
329,043,554,016,006,358,646,752,302,591,379,403,466,501,331,714,623,362,127,
938,773,301,297,735,787,830,504,539,565,017,639,501,299,247,265,057,733,110,
797,283,996,852,528,813,354,828,709,803,077,904,445,918,711,823,004,394,147,
342,232,276,655,858,334,389,892,122,863,675,306,258,888,112,502,719,425,439,
065,964,039,075,979,057,214,945,907,207,491,715,153,092,353,792,673,365,095,
483,248,236,840,405,576,893,504,627,237,582,119,781,062,869,811,542,443,110,
056,424,306,474,666,957,478,105,364,085,710,802,049,465,333,376,148,004,152,
309,292,080,269,848,713,932,001,690,100,404,625,952,322,540,800,508,903,249,
450,637,280,748,504,860,075,525,778,971,051,317,942,212,813,774,121,198,979,
155,827,389,287,995,577,029,104,638,108,581,594,947,530,341,992,726,487,328,
922,657,136,514,292,696,536,608,793,052,161,991,029,626,969,088,954,227,292,
510,697,700,716,632,361,806,280,415,742,320,828,884,909,672,036,248,510,872,
429,781,640,994,522,545,250,102,055,921,911,262,507,181,025,179,406,462,097,
038,070,739,414,183,508,770,511,982,925,964,276,787,613,341,457,750,747,755,
394,511,188,581,917,199,744,127,146,548,057,614,106,631,315,546,533,138,953,
667,753,533,916,968,862,907,644,479,090,929,781,947,709,840,462,127,888,810,
511,574,541,045,313,864,776,872,112,192,202,545,630,276,785,923,040,089,019,
652,108,728,480,130,120,236,686,033,983,735,652,571,766,673,604,924,028,702,
070,471,761,431,099,094,474,682,093,949,171,802,450,727,289,280,218,085,211,
622,392,493,901,383,702,690,890,731,996,002,997,282,062,909,128,490,432,014,
759,884,629,773,282,943,851,946,381,207,454,506,034,116,343,381,391,097,583,
121,012,104,868,238,885,055,987,135,100,028,588,646,237,464,153,229,082,818,
912,015,454,439,998,051,616,110,119,308,455,835,318,274,380,566,868,473,023,
129,752,806,088,731,195,763,358,663,574,721,335,024,097,636,024,907,119,334,
537,837,384,458,271,699,448,704,141,536,176,081,591,448,819,086,078,676,015,
911,973,703,961,884,146,948,238,640,979,261,229,908,984,370,335,601,964,961,
449,273,172,711,893,079,386,369,923,989,499,809,487,530,857,001,863,763,545,
983,831,921,328,952,375,792,457,428,869,968,613,640,368,713,529,679,262,089,
065,175,921,562,399,028,994,805,881,315,445,084,543,517,735,549,362,081,914,
365,087,799,217,628,336,274,722,041,536,964,590,059,223,616,581,618,065,045,
875,510,097,159,230,820,202,026,208,147,810,654,470,567,155,103,609,499,723,
843,463,513,241,510,702,746,579,984,825,441,832,853,827,918,412,115,028,856,
454,361,726,939,698,705,415,005,638,963,658,901,436,023,285,874,530,434,829,
334,185,162,870,585,974,402,036,132,524,272,593,322,376,731,895,542,826,451,
874,371,553,738,781,624,986,926,913,927,219,139,536,901,750,232,084,664,355,
847,763,095,911,133,006,770,517,657,129,559,688,052,498,674,471,744,555,645,
034,630,981,791,878,152,611,894,337,084,793,263,760,599,941,909,079,926,197,
430,013,896,305,495,844,524,560,901,217,693,799,609,768,565,618,469,280,778,
493,822,775,121,645,522,078,195,622,306,916,851,159,493,924,848,015,740,218,
802,122,164,660,795,188,895,159,283,043,599,454,696,452,247,739,750,227,782,
165,354,788,731,740,320,376,535,443,381,230,448,057,601,240,700,779,211,219,
570,043,345,020,237,712,135,515,165,456,543,062,232,353,829,213,935,304,008,
848,514,809,937,007,521,196,250,104,355,368,560,194,389,959,179,915,059,734,
405,424,613,596,037,484,546,962,748,254,738,911,085,874,776,191,310,154,905,
588,466,939,526,781,533,903,702,999,992,736,300,140,374,455,339,555,898,836,
079,038,211,928,015,177,257,144,561,767,243,877,122,353,063,154,717,191,197,
015,041,717,159,580,620,086,937,538,789,153,285,391,181,051,733,730,182,676,
261,422,206,038,427,382,206,553,436,084,818,199,851,074,555,680,621,663,376,
932,806,446,184,252,653,599,027,493,266,365,651,709,745,253,903,698,192,271,
971,968,350,297,485,990,492,576,537,857,372,216,667,727,219,002,220,582,735,
658,764,780,077,534,364,736,955,908,505,953,752,570,262,707,045,776,404,071,
072,209,782,889,947,031,311,717,318,903,939,239,054,575,265,160,612,864,403,
261,666,616,716,744,880,533,178,201,106,872,875,047,091,314,572,359,355,526,
975,041,390,315,687,757,293,354,997,732,732,662,820,182,570,009,225,798,592,
584,168,758,692,468,269,788,906,190,268,052,428,245,033,629,905,248,771,390,
502,553,798,775,530,777,865,955,132,432,755,588,596,489,543,842,130,869,011,
218,080,278,947,714,833,229,762,462,693,874,411,066,438,417,680,805,395,166,
999,388,317,605,241,805,676,534,878,825,465,675,630,725,813,274,179,966,482,
722,106,871,585,236,633,073,592,422,212,165,790,715,342,724,352,853,405,756,
227,328,341,792,475,308,460,340,919,175,228,005,505,695,450,631,538,496,015,
606,953,318,459,660,486,840,834,425,288,267,755,954,482,545,811,617,012,126,
611,879,600,518,692,619,902,583,666,368,274,800,768,449,615,595,949,218,147,
078,258,486,846,947,421,558,061,630,965,549,814,963,932,536,337,998,165,592,
551,162,320,698,313,743,075,733,444,854,436,159,841,948,351,490,627,116,894,
926,492,059,796,912,903,890,181,216,239,552,642,338,183,948,397,502,514,022,
438,723,561,328,784,216,300,086,678,591,684,611,747,510,123,749,608,031,484,
526,831,104,630,521,687,644,714,228,416,674,627,236,112,887,998,863,783,049,
982,416,023,759,046,361,711,948,190,972,473,586,352,754,637,404,968,445,549,
918,842,787,239,599,031,081,959,245,314,651,078,648,574,352,811,003,943,164,
712,833,861,941,128,733,244,134,886,476,117,049,334,104,671,738,278,674,899,
875,695,729,068,039,367,552,667,214,566,968,278,237,741,866,597,917,500,320,
871,065,467,016,492,493,322,015,824,698,884,900,346,132,430,017,874,172,861,
927,286,332,582,304,568,310,753,946,069,605,352,337,746,793,942,685,735,411,
137,476,421,957,118,789,654,808,060,631,469,630,128,709,720,371,862,026,951,
737,129,586,088,089,542,353,803,885,732,890,018,415,822,548,055,502,775,091,
115,286,031,554,431,152,733,946,701,718,425,187,678,722,065,162,305,401,528,
760,924,773,606,395,249,328,940,054,839,460,621,096,475,405,812,934,626,709,
999,732,824,053,616,542,341,115,623,566,630,833,783,506,429,020,783,347,906,
890,644,751,010,164,520,414,980,839,933,021,905,583,203,876,982,394,771,814,
473,671,716,949,068,358,116,787,875,936,699,266,487,374,923,738,886,710,916,
621,580,788,209,813,258,319,321,497,730,693,483,099,055,311,255,640,255,318,
664,320,570,219,443,156,173,517,850,184,010,975,628,864,157,681,703,213,331,
156,039,523,527,606,888,715,726,615,262,763,612,633,779,852,439,286,839,076,
220,410,972,545,445,914,485,132,903,010,923,025,874,549,717,598,548,397,770,
525,965,530,696,164,629,859,669,672,685,862,905,432,569,815,012,941,164,652,
581,574,548,224,315,652,161,119,855,045,140,314,612,822,399,354,411,767,065,
034,061,299,272,945,935,903,608,553,140,084,218,603,610,306,766,669,294,154,
754,916,010,651,789,782,852,489,665,682,991,610,855,286,757,279,168,919,004,
230,528,198,772,838,247,474,702,893,204,935,762,448,673,654,457,153,587,144,
726,189,468,810,832,519,998,663,620,862,587,019,305,126,657,808,402,978,409,
978,228,492,565,192,526,312,376,683,293,974,700,918,855,424,228,069,708,090,
327,024,287,670,101,318,639,044,022,450,686,680,523,269,339,458,597,088,805,
489,354,602,743,776,256,680,099,278,652,279,160,669,801,642,843,752,284,098,
356,026,356,201,640,765,562,069,352,526,865,749,157,599,199,367,059,357,048,
636,445,115,354,125,784,383,493,148,026,532,950,317,888,070,985,816,924,497,
699,439,161,845,781,728,618,648,954,403,456,657,606,476,611,422,295,825,131,
706,936,303,018,894,333,495,966,763,634,248,759,728,503,860,988,302,414,574,
955,787,804,095,126,519,082,265,723,388,581,178,574,594,813,261,853,863,760,
106,451,041,309,217,152,516,794,265,588,579,234,895,578,439,672,618,954,717,
123,940,965,156,347,785,840,099,660,430,441,955,800,802,542,632,648,853,993,
538,266,681,185,801,632,716,070,200,075,920,643,193,140,217,599,073,126,042,
184,759,969,828,066,825,258,662,482,169,001,737,362,217,792,215,227,068,867,
684,053,662,381,263,908,037,914,333,441,986,155,818,196,713,184,519,906,079,
677,695,392,835,705,489,268,908,856,220,912,726,195,575,690,085,276,237,232,
711,704,115,489,244,529,980,180,074,092,273,559,109,495,392,195,893,951,416,
190,507,689,777,069,778,200,573,952,859,324,314,659,958,716,586,652,340,663,
151,319,223,114,411,454,684,046,172,110,801,940,171,933,440,923,384,434,818,
866,522,106,236,038,481,183,589,964,555,876,676,411,647,869,583,111,131,316,
580,122,304,229,877,494,381,649,848,115,652,394,935,968,494,247,288,385,288,
246,568,624,634,478,886,716,087,743,741,112,717,307,300,808,033,301,632,267,
828,873,301,486,756,678,489,528,789,286,932,740,212,557,448,415,811,374,993,
107,600,195,947,012,016,160,160,101,408,330,571,511,646,780,518,350,035,866,
311,690,993,939,909,753,476,299,474,630,701,386,151,450,060,279,354,476,163,
077,726,160,218,861,539,427,822,716,391,663,351,715,544,172,232,312,799,246,
280,142,636,600,746,627,832,431,526,615,255,524,093,750,865,166,733,801,379,
825,575,560,140,799,546,692,700,717,716,793,645,097,081,719,383,159,628,995,
329,811,209,526,336,199,424,639,024,652,921,937,374,710,502,340,026,973,430,
129,750,087,188,324,484,242,300,486,019,291,145,368,433,611,624,489,257,763,
284,164,740,157,821,160,093,421,319,864,038,864,453,421,272,218,009,322,197,
530,667,417,271,412,319,763,642,666,809,015,006,836,703,886,262,080,682,367,
014,497,574,851,502,381,822,657,358,048,661,608,424,164,255,236,262,503,156,
239,254,010,028,392,269,214,002,734,455,903,088,625,818,203,468,380,226,760,
669,682,255,683,550,091,792,211,502,222,380,689,225,303,234,799,467,261,969,
072,212,456,245,378,872,915,554,029,799,877,301,365,251,575,939,356,454,858,
903,954,373,853,534,586,785,683,257,799,348,680,073,230,612,537,229,416,080,
532,644,128,119,643,391,068,251,961,144,054,043,507,124,411,123,963,125,194,
015,730,728,605,919,103,703,667,383,228,044,175,419,973,181,183,760,844,714,
344,276,257,469,718,628,930,865,032,618,566,808,640,808,320,385,633,877,759,
147,263,745,816,282,807,088,363,342,860,878,071,865,906,545,151,584,403,014,
856,921,871,460,113,981,020,633,045,539,566,361,707,427,436,416,838,111,216,
230,132,153,900,629,943,205,631,946,247,193,639,628,885,620,747,423,107,330,
980,765,465,679,396,055,056,814,219,365,652,847,881,839,044,233,083,785,430,
915,860,853,172,217,697,501,566,345,603,158,261,766,962,406,828,069,917,645,
448,435,873,809,177,807,762,669,080,139,880,066,560,209,299,283,922,611,840,
330,249,190,290,108,584,001,322,866,715,174,206,144,537,440,487,019,764,930,
248,818,410,342,885,732,988,421,351,336,499,109,246,042,080,973,708,469,789,
900,753,428,279,750,155,118,143,084,668,640,510,214,906,704,759,521,727,690,
776,958,853,715,995,473,805,527,115,989,445,860,521,239,245,147,379,578,733,
541,137,919,995,384,541,319,962,546,694,219,330,140,344,003,241,661,197,676,
085,979,242,063,967,165,884,441,199,872,087,695,035,539,024,848,126,051,746,
116,263,036,615,126,120,573,559,261,373,188,877,457,151,831,388,698,520,129,
788,118,821,103,864,962,060,587,683,540,915,968,063,187,817,899,454,408,742,
891,750,268,752,958,563,840,200,739,126,280,736,246,839,027,000,895,136,677,
934,095,266,420,268,604,001,976,857,838,504,592,212,905,541,814,400,870,963,
004,484,298,774,571,723,264,263,003,654,994,784,055,361,672,425,775,619,085,
129,134,341,526,548,753,706,707,756,247,863,880,917,718,116,388,284,302,236,
928,491,750,071,059,803,673,715,124,340,565,948,511,863,522,020,540,097,075,
324,877,363,148,503,876,166,603,217,597,013,633,785,584,705,202,000,529,063,
830,569,353,689,860,697,124,988,353,279,004,716,410,669,313,940,290,204,685,
938,253,700,829,022,001,663,373,180,203,472,386,861,977,504,469,560,454,505,
151,821,831,614,893,946,863,927,373,486,129,198,504,915,519,223,221,513,668,
006,499,500,941,848,311,504,012,421,130,366,583,871,582,767,253,708,870,234,
353,858,824,453,311,414,588,373,995,305,595,077,379,696,379,986,873,269,089,
389,665,712,366,766,097,028,010,664,462,712,303,924,739,218,790,662,257,681,
888,641,905,451,084,004,954,834,034,453,013,057,804,612,152,504,945,311,737,
786,070,369,224,978,137,776,974,288,357,050,702,877,293,989,131,644,382,287,
808,013,928,620,331,200,636,617,843,471,622,073,692,689,762,740,661,234,410,
395,458,536,106,861,791,369,063,694,646,055,760,602,620,294,627,069,663,340,
253,150,721,432,072,658,350,666,116,974,419,606,052,218,054,482,655,288,196,
040,425,797,281,450,952,344,214,461,524,224,588,428,151,099,045,306,697,993,
066,362,874,020,917,996,182,282,263,747,989,517,648,907,756,816,500,468,597,
897,546,049,818,200,979,678,828,752,292,909,507,323,063,708,565,266,583,408,
063,375,070,262,611,612,151,672,251,641,176,226,848,640,063,733,998,160,718,
676,314,527,946,811,653,761,431,471,383,813,019,438,681,312,826,349,252,740,
302,225,497,336,014,039,926,972,335,402,549,857,418,179,347,875,416,328,026,
856,182,249,629,618,701,359,875,821,404,793,604,595,690,354,448,858,321,313,
859,083,866,017,489,868,189,965,998,046,401,032,099,730,642,231,925,151,433,
878,336,632,586,179,089,641,653,287,218,704,241,142,970,543,092,631,560,662,
736,446,593,493,312,304,283,002,191,900,857,255,494,496,594,831,749,798,074,
459,840,537,786,738,849,773,761,517,533,247,281,015,824,815,516,804,499,378,
237,488,747,251,146,176,143,540,393,390,925,619,751,105,687,134,487,088,235,
425,129,854,799,382,147,078,208,247,326,922,813,321,767,183,299,273,131,412,
174,317,108,913,491,698,323,373,958,761,331,323,106,650,946,775,314,015,382,
185,846,162,445,656,761,348,250,681,586,165,150,488,769,767,842,518,836,852,
077,668,792,273,299,418,292,094,451,735,242,428,375,061,144,401,903,116,883,
359,995,162,540,919,605,114,586,755,909,951,169,143,741,108,095,468,309,761,
484,379,273,019,613,305,268,526,430,235,253,609,412,815,483,151,732,446,082,
216,012,278,322,735,550,339,983,627,438,431,034,900,911,807,494,570,593,504,
044,102,632,763,560,004,736,748,899,272,360,914,832,678,773,301,236,090,306,
142,554,209,618,750,151,937,802,347,390,371,272,502,457,396,405,354,035,793,
791,799,365,729,646,458,999,253,433,575,758,123,419,081,883,957,717,816,498,
476,483,774,991,289,247,442,488,155,158,133,917,628,922,946,736,430,363,638,
478,033,792,921,812,705,817,906,677,939,572,688,946,453,809,816,301,641,892,
970,072,489,917,674,924,368,506,434,755,528,471,975,122,644,396,691,092,325,
791,595,326,074,479,940,399,545,956,369,972,220,865,934,488,924,531,768,969,
052,843,624,598,488,520,980,999,055,253,474,277,668,790,219,293,992,373,939,
551,092,576,179,776,994,698,262,962,698,794,718,936,521,790,145,300,835,192,
573,923,697,639,487,353,298,505,626,644,269,780,571,359,999,600,382,354,377,
662,802,206,522,775,972,317,600,474,959,568,166,570,540,154,696,908,361,222,
952,085,255,284,802,211,913,584,400,741,038,508,022,558,357,034,305,515,612,
959,559,624,860,010,611,581,204,198,018,486,738,652,208,857,320,051,526,652,
954,805,964,578,559,667,364,475,394,323,509,377,979,549,705,009,011,725,539,
956,605,554,975,399,721,058,787,085,524,760,120,566,899,698,749,639,990,423,
478,913,025,922,017,243,435,150,369,127,869,552,327,112,929,731,316,430,757,
431,541,529,260,481,989,767,197,756,931,663,269,321,107,622,489,131,653,560,
810,931,880,130,139,847,051,620,993,290,772,623,776,360,620,511,065,978,999,
997,010,590,097,121,878,715,686,632,463,541,294,900,076,564,652,885,342,135,
334,818,526,178,801,149,986,448,166,260,076,352,613,916,315,609,886,850,510,
273,751,593,896,136,830,782,175,339,185,038,341,421,116,251,246,440,707,507,
378,708,584,415,982,644,369,853,595,591,891,116,401,073,780,582,333,167,324,
485,706,576,795,677,344,476,444,611,659,358,861,503,593,698,865,104,849,160,
565,659,632,276,201,329,826,606,696,874,512,303,251,111,769,883,474,138,078,
060,431,724,630,682,852,575,424,131,065,374,039,958,126,107,456,087,175,165,
582,282,218,470,348,069,026,045,064,704,136,333,591,793,558,620,058,829,821,
399,095,293,362,322,139,668,244,466,543,916,028,414,522,525,203,852,763,584,
612,691,359,373,140,472,854,302,959,693,367,581,405,837,312,136,718,188,441,
047,436,774,674,322,328,563,687,769,818,370,446,617,159,000,557,270,858,688,
044,980,063,703,552,013,441,077,869,708,060,826,731,236,634,522,192,367,251,
255,314,080,165,925,083,084,314,317,754,357,721,622,785,234,884,747,077,088,
110,748,193,930,275,798,193,717,405,703,417,320,223,046,346,625,952,051,965,
163,775,804,034,558,182,667,903,801,109,029,260,062,161,827,262,153,078,874,
450,404,769,631,535,506,813,527,703,964,686,503,317,177,779,815,558,372,420,
289,056,741,394,212,396,313,760,301,904,286,951,136,608,643,498,090,681,665,
484,228,305,131,340,728,516,007,350,442,872,572,205,587,324,372,640,213,376,
280,150,632,126,348,152,924,496,171,498,091,737,395,243,846,955,487,051,581,
333,585,746,069,876,324,524,340,094,422,229,270,328,191,943,389,222,840,834,
136,407,829,012,440,183,288,927,140,263,889,690,568,978,507,812,808,188,965,
793,769,337,308,875,654,636,740,094,949,772,659,678,549,908,194,068,637,227,
034,066,920,861,880,266,369,081,345,096,097,468,870,308,892,294,137,397,828,
453,915,751,931,728,265,249,379,002,066,335,368,421,586,444,353,141,136,169,
993,577,015,099,900,532,374,489,983,902,819,654,459,789,950,541,823,953,312,
849,390,337,512,017,682,738,672,649,609,151,143,475,640,698,547,742,131,258,
183,274,413,851,264,386,017,946,868,518,970,775,229,638,461,535,387,704,712,
480,664,041,983,028,469,532,103,898,738,845,269,102,250,648,078,128,047,472,
269,314,322,332,360,873,366,161,634,042,564,454,232,269,125,027,092,264,889,
486,786,242,106,166,648,122,058,143,477,555,886,176,533,509,921,857,210,096,
550,885,528,566,855,572,193,179,205,336,521,135,455,135,765,290,148,843,689,
164,240,501,030,296,391,249,652,887,993,336,329,144,323,987,647,773,871,287,
344,225,033,428,176,993,184,969,571,116,104,778,763,873,160,525,286,506,337,
500,319,473,821,071,123,606,531,070,987,053,710,887,418,224,256,877,546,904,
497,635,180,456,806,280,387,394,350,576,138,387,517,787,149,546,485,965,096,
199,994,285,874,625,921,015,820,214,759,654,842,743,916,809,058,341,444,694,
413,889,411,947,868,318,269,308,953,912,088,934,966,253,677,495,766,534,792,
888,309,532,597,907,072,192,343,370,122,716,233,712,334,401,011,771,786,929,
214,514,671,704,927,087,575,335,564,174,849,893,412,087,982,547,302,456,588,
622,710,312,193,228,177,762,817,102,826,440,551,107,289,868,080,865,506,569,
014,409,106,767,883,946,188,349,510,403,210,970,110,443,359,863,863,965,190,
977,921,436,817,441,398,474,155,375,531,526,089,575,361,821,877,620,653,310,
262,079,193,749,928,708,738,957,233,820,673,894,436,593,166,313,377,454,764,
931,271,800,962,562,699,604,769,555,331,381,393,873,221,691,929,265,783,643,
262,362,664,671,814,785,940,030,058,072,654,657,309,374,486,944,112,571,577,
300,934,702,527,260,995,376,332,054,469,690,230,046,326,655,534,047,828,913,
173,533,629,783,733,767,562,182,319,046,875,855,216,818,143,712,207,886,837,
996,377,520,474,725,252,812,360,054,150,912,774,447,837,983,192,132,281,515,
116,545,833,233,977,672,841,206,521,009,661,331,150,709,312,540,472,001,793,
239,419,090,117,589,156,042,889,411,460,220,601,428,412,571,600,668,518,473,
196,407,779,580,715,706,111,691,392,281,819,514,555,778,859,284,448,939,964,
861,706,702,936,764,415,866,523,780,380,953,769,342,050,802,175,207,336,753,
151,913,469,585,242,734,002,174,166,683,883,946,731,306,621,605,798,528,970,
791,730,207,966,717,226,878,843,695,780,211,396,361,428,196,460,004,235,903,
704,599,161,489,567,463,333,016,903,003,678,850,838,394,472,730,254,763,594,
871,457,577,448,142,403,498,074,457,411,493,853,890,738,895,188,188,936,455,
175,065,608,294,132,697,423,693,916,474,583,652,230,361,272,675,574,580,561,
609,128,962,949,931,366,766,678,173,454,363,225,344,088,206,460,953,996,819,
192,895,809,254,990,588,589,068,217,210,359,027,120,086,416,252,816,350,719,
280,508,450,569,503,450,515,962,103,756,706,625,192,155,320,900,585,428,580,
110,089,348,215,785,484,317,423,644,734,940,765,437,603,595,835,791,281,168,
102,674,889,062,209,014,624,534,563,124,197,826,533,562,886,204,791,716,672,
046,455,083,698,378,008,910,725,783,213,416,059,234,937,243,154,192,332,129,
315,609,171,607,261,456,160,580,776,064,859,707,187,451,807,206,859,859,834,
503,251,887,044,032,601,620,866,002,133,593,483,796,089,606,102,880,439,002,
021,824,169,302,262,224,079,966,775,139,611,753,847,120,484,990,178,750,431,
255,963,788,965,970,909,233,411,386,130,950,325,042,840,113,313,421,314,264,
168,077,408,410,126,313,498,330,451,380,025,933,393,588,216,359,302,049,847,
619,648,823,752,910,762,332,353,472,997,335,751,188,416,820,569,281,611,660,
436,507,124,011,119,699,963,377,776,014,408,874,076,072,041,079,393,225,605,
083,890,798,705,979,744,924,935,013,083,222,041,679,092,312,088,756,949,641,
159,688,201,650,732,507,859,482,310,748,536,713,243,061,110,695,957,764,128,
123,490,477,778,213,446,827,814,216,793,220,344,983,242,876,512,729,469,479,
858,646,037,158,943,272,675,730,167,300,292,767,867,384,069,130,926,241,002,
172,087,760,324,598,126,926,014,636,544,824,875,811,107,936,943,594,545,234,
755,638,747,024,396,741,442,985,370,426,448,917,780,838,289,815,307,466,586,
183,040,324,092,253,776,254,956,541,266,933,987,270,099,300,753,864,319,352,
392,999,487,424,950,132,285,522,211,720,190,735,568,334,535,030,208,840,527,
383,727,086,356,442,117,017,537,565,384,059,328,876,432,821,326,939,455,239,
376,409,878,283,266,139,745,231,420,244,568,878,607,962,772,792,096,177,643,
982,037,863,082,510,282,905,065,462,564,099,616,579,271,664,995,236,019,532,
333,342,025,804,951,422,333,303,736,015,767,339,651,142,551,287,686,113,304,
149,628,845,259,178,142,240,403,363,008,259,637,894,205,553,009,007,521,539,
828,945,516,845,418,700,668,960,723,559,764,502,701,763,422,915,231,855,980,
639,725,201,394,211,301,761,704,097,742,208,514,573,714,075,777,776,320,753,
167,904,481,590,935,986,261,601,213,201,020,170,602,297,626,608,531,087,577,
816,897,759,355,083,552,327,489,228,616,793,596,083,678,568,575,057,627,908,
465,564,306,383,926,227,842,250,335,578,718,247,204,732,621,760,938,951,097,
564,700,926,247,598,788,360,886,697,478,738,167,646,844,267,200,060,420,710,
440,997,765,109,195,610,672,579,585,947,440,224,124,829,998,656,563,009,642,
416,239,139,292,788,759,833,241,289,932,333,174,792,358,330,296,866,961,312,
700,393,604,104,899,212,749,804,739,489,783,349,095,669,753,338,955,753,142,
975,542,435,378,091,874,647,619,122,721,036,257,391,272,544,197,026,015,079,
609,478,103,643,295,623,449,144,955,510,964,766,960,596,314,479,036,023,996,
111,201,219,367,050,513,868,728,001,129,375,978,686,638,813,331,804,070,226,
125,493,832,220,978,432,018,151,982,567,869,728,329,730,754,566,924,278,381,
914,736,950,499,419,179,361,674,040,296,478,367,061,171,652,127,445,521,198,
776,675,319,417,503,622,622,280,053,047,186,841,868,823,948,416,983,763,658,
297,715,445,673,597,954,821,851,171,414,678,690,827,979,148,765,714,234,242,
487,466,494,429,462,668,331,104,267,030,515,725,670,155,878,576,586,087,919,
991,244,415,731,195,411,379,333,173,077,840,145,369,388,587,051,821,676,023,
763,745,974,031,342,883,081,925,046,624,599,929,132,205,977,573,275,686,702,
795,069,168,575,281,416,364,484,126,940,794,784,611,387,608,582,650,685,238,
081,926,415,743,870,021,768,179,143,012,827,885,677,795,027,464,652,024,215,
154,498,949,984,778,187,477,187,185,087,923,732,571,475,086,824,884,499,783,
061,886,160,590,657,165,197,069,362,665,010,473,825,906,090,406,826,890,742,
002,749,307,329,797,977,091,645,443,492,616,370,170,191,951,755,230,394,438,
871,118,553,845,102,704,963,859,425,789,070,002,904,413,716,204,822,461,800,
283,088,703,855,817,811,920,765,810,632,583,873,674,175,750,126,398,512,036,
684,456,788,640,190,197,630,718,874,298,223,085,794,654,647,180,569,021,322,
449,035,797,105,187,656,919,489,121,301,461,952,344,545,587,283,083,242,047,
116,555,464,654,704,316,709,449,353,594,053,554,337,340,532,050,033,512,602,
276,298,504,055,377,101,568,639,162,512,418,320,778,471,310,567,859,671,133,
410,975,147,916,818,040,133,445,035,040,379,985,122,282,505,558,080,660,543,
455,138,476,438,902,465,289,795,121,727,600,194,414,969,440,013,258,016,705,
263,899,458,683,894,555,491,532,713,942,737,889,724,256,726,440,325,294,449,
840,972,198,123,345,326,074,013,294,964,464,665,862,774,552,049,706,566,003,
991,583,180,006,886,134,086,400,039,998,676,288,923,490,688,220,888,363,957,
137,584,385,252,169,070,229,780,204,741,910,729,642,557,563,229,131,231,569,
169,306,359,394,772,504,302,618,005,730,400,115,540,585,905,132,272,273,514,
635,496,563,835,019,580,017,433,849,108,937,584,797,255,292,622,383,031,042,
866,782,083,297,428,854,602,140,029,722,677,870,416,338,698,294,923,180,487,
728,068,159,728,354,887,077,061,588,637,837,354,954,793,733,546,990,154,319,
183,592,094,407,076,675,509,690,730,712,424,340,838,545,741,079,007,328,602,
686,747,976,516,792,269,181,508,729,294,571,172,984,645,448,560,538,148,973,
682,309,843,725,167,349,297,976,104,607,278,702,169,690,205,781,346,886,698,
538,586,919,572,755,457,957,014,609,027,142,857,824,137,291,939,624,865,712,
239,815,991,617,097,191,596,672,858,506,619,375,502,729,357,873,751,521,816,
531,114,496,120,174,329,080,141,470,335,514,371,097,224,090,374,195,689,998,
325,101,735,888,559,164,937,521,458,793,814,629,935,827,871,954,068,288,559,
656,937,864,766,796,105,991,910,458,297,516,740,876,631,201,835,339,028,005,
003,194,547,139,750,214,692,301,509,685,000,775,721,112,057,901,933,691,135,
789,707,928,685,864,769,915,884,584,274,035,419,511,438,535,251,794,859,311,
803,342,734,288,429,408,780,697,323,068,669,203,163,261,189,313,195,751,905,
840,620,824,077,605,605,476,540,284,808,148,884,372,091,255,548,603,704,606,
193,301,611,702,749,051,229,258,834,027,297,955,407,717,746,831,716,816,717,
700,279,113,039,615,476,948,224,012,186,441,526,329,796,529,451,526,357,892,
123,172,883,175,214,067,681,549,751,196,379,016,544,158,654,000,664,747,252,
083,228,477,548,401,502,375,740,105,852,716,098,675,877,865,855,343,290,432,
208,757,496,397,240,236,068,229,314,878,864,008,924,371,541,778,746,118,137,
051,996,919,673,678,702,652,979,708,865,918,750,260,257,475,075,292,667,447,
290,669,497,463,074,709,612,500,252,517,205,583,986,756,772,212,727,271,677,
196,387,763,413,427,227,855,037,521,666,043,118,461,262,955,230,487,598,755,
370,011,680,597,206,745,930,831,821,545,750,613,336,361,158,627,477,555,318,
785,013,483,232,833,505,634,368,240,286,698,118,118,382,699,299,035,566,420,
628,837,925,063,454,453,148,139,219,269,296,946,511,301,794,908,357,060,272,
059,476,962,253,427,639,758,669,229,850,896,060,638,191,942,973,550,846,830,
434,570,080,954,940,769,665,829,369,697,398,734,675,051,596,546,902,348,971,
695,413,269,901,113,976,309,804,094,989,998,347,061,546,822,468,225,362,392,
717,739,704,467,756,249,208,089,354,457,402,030,623,670,737,536,989,721,883,
599,979,557,067,170,498,626,874,480,158,459,235,035,117,111,180,000,768,661,
391,865,132,675,202,213,430,614,405,459,095,961,408,416,902,669,870,526,219,
985,701,989,846,849,592,177,092,943,150,308,339,931,836,948,246,835,434,307,
413,859,575,382,495,109,422,783,895,675,722,478,782,178,308,345,820,046,742,
978,275,260,695,965,910,965,768,175,236,002,366,137,587,261,947,015,714,787,
224,368,808,242,681,733,648,288,556,445,352,037,735,187,375,951,936,775,979,
412,460,460,919,657,419,211,532,963,670,494,442,130,724,995,348,635,223,180,
296,057,596,865,315,531,766,614,846,581,965,160,588,184,323,379,800,605,616,
342,017,207,616,901,684,626,587,116,613,478,883,411,016,090,654,786,006,108,
643,123,884,945,552,495,056,908,266,482,245,874,359,681,102,847,305,435,538,
967,368,848,953,336,956,488,668,758,371,007,040,873,446,771,548,367,814,233,
854,735,863,338,170,898,447,356,673,122,178,609,034,468,036,680,602,461,279,
600,664,894,468,771,843,007,121,666,808,075,483,165,945,173,294,246,808,273,
036,503,574,209,391,350,102,857,514,543,571,974,000,493,938,427,783,631,312,
982,795,137,728,976,191,734,281,178,122,635,857,372,000,157,214,558,964,464,
909,530,198,829,632,984,250,900,889,008,207,669,641,043,790,037,282,476,582,
193,499,572,469,264,898,720,727,284,255,639,808,345,158,718,382,473,719,746,
282,420,008,421,358,205,878,229,417,613,650,077,176,674,112,958,821,623,641,
981,144,451,077,863,695,104,309,265,510,952,970,241,269,075,766,787,370,968,
942,175,604,602,549,967,592,865,858,757,873,378,665,594,439,325,312,326,285,
211,888,732,849,432,542,361,704,826,418,526,789,589,964,792,723,335,907,123,
481,530,423,123,806,218,053,821,366,488,892,443,239,526,100,332,674,389,240,
042,889,112,842,737,001,694,313,307,864,263,155,534,429,771,489,591,609,805,
998,486,347,440,263,034,121,400,173,087,159,540,674,103,598,357,190,544,365,
123,723,854,083,780,019,825,789,640,614,417,745,037,709,047,723,637,854,179,
088,875,453,024,779,706,043,686,629,394,693,489,941,465,748,838,999,887,588,
466,290,933,505,578,734,489,464,214,377,838,994,685,557,663,191,879,888,545,
554,876,124,206,158,694,058,298,749,944,696,053,729,394,033,310,283,249,445,
193,081,619,276,551,383,493,103,661,100,920,845,341,994,169,196,436,837,450,
327,683,047,504,668,562,589,973,034,730,709,946,950,466,704,667,798,580,078,
353,385,506,903,361,153,565,136,303,505,390,684,838,273,746,615,927,969,668,
277,727,573,687,008,668,621,703,559,304,072,800,407,216,793,126,165,225,409,
702,870,338,947,032,346,567,271,052,535,622,269,468,714,464,028,497,054,085,
052,223,455,181,151,124,494,841,606,689,475,398,676,576,881,069,686,721,520,
327,914,156,803,144,444,828,388,907,870,787,678,530,482,790,945,345,508,132,
326,185,042,063,307,689,284,462,261,757,264,609,832,959,150,315,096,770,798,
958,427,292,015,636,839,100,558,588,634,216,752,855,903,255,920,582,531,115,
367,750,275,836,050,461,061,551,533,075,725,868,833,467,379,474,099,607,898,
268,989,167,944,640,388,074,853,167,174,824,932,481,490,943,207,610,349,909,
273,923,559,229,750,656,016,900,370,290,427,933,963,494,760,375,375,150,072,
478,347,523,086,907,879,388,555,848,418,184,654,119,105,663,610,737,981,353,
228,806,383,836,202,799,701,087,134,282,201,515,836,900,979,565,925,919,318,
001,435,543,525,643,981,002,512,460,759,213,167,319,226,135,103,650,591,067,
031,713,506,201,300,102,494,957,832,695,575,236,120,358,827,439,515,750,883,
581,125,954,519,530,111,438,688,451,652,945,177,293,453,886,673,671,463,451,
723,108,634,202,062,411,209,832,592,388,217,556,215,537,269,846,470,924,821,
612,711,679,219,513,794,386,396,805,328,861,872,262,368,521,736,052,130,880,
632,362,356,177,517,143,575,223,985,795,109,112,337,298,255,770,261,993,255,
042,846,159,833,573,129,408,169,987,104,715,633,520,745,659,465,603,525,268,
201,129,662,345,445,165,390,501,286,906,081,969,865,046,231,842,786,134,981,
261,804,682,432,201,487,403,352,908,286,177,474,900,525,928,730,106,133,528,
636,210,002,084,991,961,760,032,205,757,524,085,968,144,880,134,647,431,734,
072,254,520,081,342,231,309,171,882,833,433,721,846,799,039,625,077,660,971,
137,345,595,106,419,510,217,776,520,109,883,235,215,101,767,671,438,245,687,
002,496,092,360,038,095,337,577,672,259,575,438,233,714,755,467,332,257,357,
517,980,617,005,911,170,133,300,117,951,425,959,159,307,579,324,926,234,811,
567,699,445,750,297,982,160,367,662,285,352,307,406,683,331,316,398,336,842,
700,477,001,192,434,153,987,541,952,791,991,990,007,176,421,671,472,888,530,
037,965,195,718,928,932,227,110,489,020,217,162,548,171,064,234,748,030,936,
770,655,252,315,593,554,390,809,288,307,019,205,995,787,299,258,579,897,526,
550,492,912,221,379,669,421,326,863,818,067,404,572,362,188,548,585,216,714,
394,718,974,635,914,243,816,930,432,491,996,600,504,994,900,692,645,651,878,
589,946,611,016,516,122,835,179,270,835,878,116,093,002,607,175,524,799,439,
638,397,649,808,908,038,520,314,755,423,749,484,687,207,238,029,296,467,428,
291,377,172,544,879,790,689,404,265,185,228,586,208,764,191,388,641,752,098,
801,335,454,319,900,434,846,097,353,845,573,037,744,036,161,924,164,128,202,
678,748,019,339,802,297,783,406,972,344,190,524,224,960,368,525,786,388,192,
451,885,682,190,386,156,224,161,603,367,091,268,514,682,663,215,698,605,641,
688,503,587,143,235,350,295,606,109,768,009,177,272,076,206,876,796,177,456,
083,531,486,699,169,635,279,140,189,533,526,451,605,571,443,890,795,808,891,
014,656,141,677,744,832,958,168,447,049,834,617,643,303,412,486,100,875,413,
459,497,857,919,222,177,701,625,671,657,075,251,843,491,462,931,900,686,944,
938,280,906,097,756,196,836,264,689,364,478,885,213,434,008,154,393,791,687,
428,525,197,560,196,958,308,314,952,614,584,898,854,354,099,398,458,905,296,
931,480,581,050,577,543,919,543,039,671,223,394,518,664,039,366,293,612,851,
819,034,187,573,833,909,924,598,589,971,089,292,645,157,154,725,839,376,229,
847,260,473,657,609,611,502,159,334,713,035,350,191,640,023,009,240,937,448,
545,168,926,707,016,973,468,824,158,139,134,312,720,194,285,978,313,929,601,
299,486,564,281,005,393,813,311,518,351,483,932,727,394,728,013,474,290,485,
318,367,953,483,252,948,800,595,447,344,635,118,262,386,829,007,076,086,257,
485,674,564,598,444,057,980,686,737,576,789,327,577,065,382,644,330,382,076,
975,027,792,339,813,781,517,449,858,261,122,920,062,624,641,630,256,292,803,
725,221,473,158,889,073,455,575,419,083,724,706,015,827,379,514,221,086,779,
066,292,286,896,288,884,185,253,651,427,741,453,099,146,862,445,859,451,821,
729,906,442,882,427,002,972,735,749,939,198,282,272,371,313,086,225,227,896,
054,425,030,372,770,913,154,366,185,017,662,720,280,254,152,824,620,703,937,
402,021,270,933,379,620,866,065,312,321,393,504,459,289,662,773,708,769,210,
975,855,339,903,615,865,930,562,617,612,412,113,559,515,899,491,967,435,171,
240,316,662,382,580,996,289,046,232,494,157,601,822,557,398,898,525,040,492,
160,566,849,997,760,448,938,731,809,640,636,844,377,271,910,063,328,749,371,
166,769,578,087,028,455,615,253,620,334,821,949,544,600,314,880,892,303,585,
133,711,301,738,644,232,320,621,293,498,977,191,835,536,189,575,198,562,816,
643,181,493,714,259,993,495,124,394,035,891,242,523,168,476,834,787,344,469,
631,510,372,082,171,224,774,453,483,223,183,902,208,937,040,518,126,782,399,
079,590,576,274,650,316,026,209,732,444,802,594,233,917,886,037,054,566,898,
991,777,477,826,428,174,937,686,714,277,183,928,571,319,285,340,006,832,040,
805,268,023,499,947,158,615,320,734,226,370,762,124,539,640,741,574,536,239,
260,853,343,342,157,055,771,926,099,207,608,697,986,977,959,149,518,547,375,
089,927,349,852,928,163,978,378,012,312,905,142,720,064,466,773,965,580,928,
687,846,710,246,208,871,345,050,268,279,890,329,908,994,571,089,411,847,529,
441,418,333,976,736,464,670,389,324,805,078,833,414,372,568,784,167,065,811,
798,655,079,918,923,734,142,378,606,816,229,203,657,660,182,865,930,721,827,
851,610,287,259,149,659,150,773,519,859,830,589,716,267,328,032,990,855,726,
510,289,871,101,225,618,659,099,986,819,614,212,558,719,658,247,281,214,889,
621,322,876,067,714,142,881,232,694,619,015,621,631,383,800,301,789,456,560,
984,686,077,258,335,948,032,986,841,249,981,093,485,928,305,768,008,829,578,
393,951,034,428,712,850,707,402,544,057,819,912,705,782,432,859,332,025,831,
736,314,514,061,891,880,364,234,900,489,585,505,601,469,099,750,968,629,878,
579,505,524,105,735,058,319,387,060,273,743,157,920,887,843,915,593,334,029,
543,079,480,165,366,816,461,833,286,556,379,040,649,070,334,280,803,497,465,
731,236,649,831,324,451,811,672,241,566,502,338,141,066,408,737,818,865,238,
131,626,031,369,412,096,651,715,959,714,066,920,630,975,760,456,618,197,727,
995,255,848,482,823,850,909,893,541,670,632,184,819,435,530,188,612,675,468,
887,258,127,183,610,154,369,608,014,202,389,154,031,017,012,532,215,598,223,
630,883,471,390,527,505,640,092,307,852,838,928,680,884,375,393,448,448,212,
703,009,331,179,949,323,131,868,129,522,932,614,026,311,062,378,140,495,489,
233,757,556,398,155,862,964,026,312,770,892,378,275,063,976,254,486,979,785,
141,516,151,782,288,493,381,255,797,939,760,375,396,443,611,580,498,955,520,
915,547,968,451,912,289,123,717,851,721,042,142,215,230,966,437,817,809,800,
182,298,532,186,669,664,343,422,811,256,234,099,809,411,241,288,726,054,669,
359,784,345,480,551,018,987,567,750,988,282,585,854,071,276,846,213,429,682,
649,642,301,195,005,689,651,576,026,713,466,842,132,472,869,134,499,564,698,
761,500,481,572,022,605,354,364,041,366,973,337,820,104,117,069,961,550,648,
387,605,067,624,139,403,091,825,554,664,172,170,989,940,927,897,126,801,575,
847,892,540,451,627,664,743,719,347,571,353,822,188,848,470,855,044,765,902,
951,322,605,929,891,343,337,968,768,047,022,577,329,928,289,402,415,603,629,
319,016,241,709,931,840,430,628,307,500,092,258,324,361,631,403,209,221,454,
207,945,151,731,310,175,377,739,968,052,269,495,716,944,756,615,194,365,899,
312,963,092,932,970,246,022,663,631,689,984,986,389,099,839,460,875,384,038,
343,486,016,950,403,564,575,564,775,201,490,279,108,440,144,218,888,852,040,
553,493,048,596,542,475,939,810,153,482,814,695,238,046,738,902,807,447,853,
830,129,896,568,085,647,456,281,047,305,877,773,640,146,746,059,377,167,741,
213,262,437,758,475,944,317,898,553,592,121,049,282,813,507,902,025,301,730,
959,606,732,804,784,342,869,543,938,067,012,702,689,197,278,486,690,890,976,
414,941,101,622,767,381,259,049,664,203,375,841,580,552,168,116,980,710,180,
634,354,961,768,198,286,825,233,458,336,478,201,988,400,054,744,851,279,565,
260,089,845,962,625,178,308,356,561,458,883,584,420,490,461,988,635,395,830,
132,106,943,014,767,850,566,561,919,665,114,446,640,911,771,385,552,746,278,
065,363,608,684,860,320,944,206,111,403,652,264,477,470,893,390,892,085,577,
398,686,832,893,505,376,391,442,267,776,226,775,373,263,308,429,435,701,919,
251,859,723,066,563,798,358,654,565,716,601,172,535,636,482,798,938,802,245,
976,168,809,888,620,870,808,363,367,822,231,060,280,753,532,663,204,342,581,
410,385,468,796,854,509,420,476,187,450,833,995,059,869,986,517,459,484,990,
190,658,796,625,804,402,229,433,341,026,257,607,704,709,873,768,735,106,280,
499,324,178,760,643,917,944,381,604,595,009,322,132,882,171,891,133,264,077,
641,619,079,396,625,656,150,740,784,343,111,621,846,121,222,824,318,709,028,
331,983,525,662,632,426,165,099,172,011,709,634,775,873,029,518,153,486,898,
269,258,053,599,542,911,724,759,501,245,236,739,477,531,095,550,535,633,851,
018,551,173,408,812,873,032,703,422,045,538,837,616,634,362,859,720,851,613,
940,531,951,846,174,819,566,132,117,160,706,144,792,991,118,683,691,275,639,
384,042,059,949,403,191,478,534,125,294,179,410,449,861,210,836,971,091,526,
087,327,816,787,247,003,525,276,769,111,426,084,003,131,533,891,268,861,455,
996,786,346,877,371,355,607,651,298,550,533,866,708,793,904,628,436,569,164,
286,346,129,119,994,394,517,363,347,788,784,106,986,690,782,292,387,736,924,
421,315,869,324,907,013,062,652,281,206,131,386,658,186,771,316,304,202,236,
377,352,339,722,390,837,826,887,187,735,492,818,862,804,112,150,769,497,503,
173,964,901,166,995,406,415,639,365,745,634,147,449,729,073,634,708,657,261,
433,551,937,914,123,956,108,688,341,215,528,238,342,697,051,920,045,272,238,
788,297,396,144,015,161,436,503,429,442,532,403,623,962,515,838,059,936,562,
744,084,912,461,623,373,322,182,928,644,766,573,814,122,978,968,812,678,952,
088,636,589,126,208,963,892,795,746,300,657,762,435,687,316,287,344,577,796,
490,059,097,808,297,580,467,779,823,353,707,086,816,862,168,279,310,104,723,
122,142,186,208,887,425,969,721,828,958,057,134,206,983,323,835,091,172,507,
100,791,475,109,532,172,983,549,468,882,265,382,395,455,623,309,464,057,533,
178,679,225,839,008,214,190,232,671,035,992,623,428,103,437,413,344,945,789,
771,154,931,142,371,323,379,667,214,893,332,079,773,488,216,069,132,702,745,
284,400,086,577,611,994,683,574,644,914,634,530,111,038,801,179,698,325,602,
537,929,212,547,567,871,076,481,511,383,589,066,405,627,679,995,102,780,513,
940,101,098,415,894,524,093,308,547,426,752,769,550,398,599,581,589,069,101,
564,117,972,233,018,080,324,038,094,174,227,817,347,527,131,497,861,653,463,
701,456,486,714,576,526,714,126,619,689,181,587,274,851,956,561,019,120,272,
754,985,066,526,496,139,492,363,972,339,100,239,090,266,243,955,983,491,296,
709,589,804,074,718,841,099,788,855,830,911,098,857,683,291,822,046,867,474,
110,319,787,006,446,778,946,553,783,218,278,065,471,968,851,664,628,138,613,
002,936,630,157,857,479,484,793,112,506,849,031,388,642,740,374,653,025,652,
086,173,854,758,062,117,070,737,846,283,839,017,675,186,937,486,790,629,587,
376,684,433,151,620,648,538,471,091,350,665,091,233,488,291,442,435,804,349,
450,113,174,539,388,168,861,657,072,797,444,179,350,714,494,717,372,005,357,
135,037,844,489,216,116,703,625,615,970,623,830,208,446,031,250,629,706,281,
182,227,274,624,354,629,049,339,965,253,434,419,054,248,375,361,451,593,049,
516,914,280,236,548,429,525,846,482,359,622,602,589,475,869,107,833,501,292,
399,473,806,310,277,685,596,218,679,431,710,960,028,449,124,073,152,543,145,
351,699,950,077,880,973,811,282,353,437,483,342,221,365,222,426,126,976,179,
091,564,768,142,069,276,096,200,780,087,864,917,831,099,747,556,718,405,792,
282,906,184,416,901,391,034,291,923,110,225,789,402,819,103,405,265,101,174,
023,996,590,703,584,159,491,746,803,951,789,099,906,737,143,479,055,219,731,
288,674,142,956,647,773,020,203,070,011,904,436,931,044,931,125,354,209,370,
114,936,513,799,460,810,855,671,660,824,617,921,353,198,238,768,372,719,752,
284,265,873,535,718,897,986,001,948,058,449,648,675,785,464,654,920,582,932,
449,644,887,868,339,291,254,461,227,656,795,440,411,155,753,894,698,501,182,
585,772,102,555,790,575,374,140,622,461,781,213,676,448,285,238,447,208,210,
673,758,267,716,579,118,900,129,689,728,914,598,936,427,292,855,328,927,111,
644,993,513,964,920,246,081,033,254,215,101,797,701,775,213,830,257,521,734,
461,939,426,494,009,388,645,275,067,586,595,459,687,175,594,558,513,240,511,
041,266,934,377,205,309,577,653,230,834,907,124,961,405,452,381,386,845,770,
194,686,950,082,653,151,595,858,836,416,906,406,923,272,773,014,446,043,852,
907,052,702,259,132,514,435,155,066,978,696,603,695,298,444,480,854,657,648,
818,722,168,997,358,527,118,826,105,870,478,179,953,789,838,151,968,465,625,
198,435,756,767,206,066,540,743,885,806,842,260,098,039,821,433,605,927,845,
331,739,538,270,976,383,711,798,023,828,916,596,550,645,426,732,794,258,129,
300,363,770,797,878,509,262,266,826,285,140,857,942,907,673,457,251,444,639,
051,799,115,873,976,541,989,427,654,462,443,167,992,585,364,958,346,317,833,
926,848,071,999,263,762,074,137,080,271,606,511,848,836,580,301,235,569,300,
997,007,444,465,583,484,187,587,127,272,492,166,567,361,284,950,932,084,505,
025,914,764,889,486,774,822,606,756,426,351,577,339,828,528,643,209,537,794,
238,879,411,660,867,844,605,405,328,546,288,102,916,672,151,226,076,567,695,
588,146,296,498,218,017,078,039,158,885,318,782,209,589,491,053,770,863,098,
038,936,419,740,817,667,193,991,183,809,627,439,669,405,001,209,771,173,350,
907,640,555,521,025,532,882,499,052,912,553,345,005,619,715,653,343,215,361,
290,176,451,690,183,103,119,551,728,325,422,321,658,951,932,697,630,810,822,
061,374,291,792,852,935,526,805,445,561,263,115,072,000,407,205,470,675,058,
416,750,373,732,828,948,008,521,980,176,246,743,773,732,530,322,127,568,901,
515,012,518,493,996,379,814,604,189,759,720,703,825,981,416,287,479,895,703,
965,197,448,464,925,297,300,066,094,182,611,616,970,746,756,798,174,285,555,
348,455,663,292,752,888,126,144,347,348,500,096,361,596,321,583,466,298,266,
408,770,952,923,309,914,529,329,512,037,162,988,971,478,169,832,545,758,657,
319,119,183,736,644,057,981,690,547,396,423,473,347,728,267,785,912,442,582,
383,049,573,183,765,181,531,671,989,274,486,923,099,939,365,476,660,693,003,
855,278,602,505,912,382,957,429,607,718,973,677,719,416,662,176,943,348,485,
595,027,711,569,004,464,969,135,424,034,359,100,407,868,342,454,298,134,009,
605,407,839,216,373,882,067,863,394,840,581,626,848,226,426,305,505,372,466,
037,744,863,154,007,377,037,562,595,774,551,495,085,609,633,270,995,594,647,
363,702,451,270,570,967,993,985,586,716,517,236,334,829,932,726,509,161,027,
417,416,577,923,475,473,138,304,799,342,827,786,440,441,277,348,777,764,080,
096,004,284,411,983,415,445,763,037,777,606,183,873,654,034,793,190,054,090,
855,550,476,319,765,558,003,578,395,793,566,688,713,256,989,240,316,279,286,
896,802,526,565,964,978,547,001,301,129,097,671,943,808,857,997,358,970,930,
545,009,966,773,252,209,083,523,567,029,692,409,531,328,166,121,918,626,118,
007,588,864,659,545,296,065,233,615,918,084,001,825,708,707,537,119,569,552,
438,881,680,833,149,267,555,206,214,497,860,090,167,801,845,204,120,679,179,
331,406,233,857,194,628,086,595,071,201,622,113,976,254,649,005,982,295,780,
409,912,824,035,341,087,117,870,083,967,607,258,317,662,088,776,406,878,334,
201,099,150,400,793,757,743,888,228,606,059,462,930,957,775,046,917,711,304,
553,962,889,709,582,208,524,061,029,072,029,682,912,829,379,359,528,233,006,
958,311,762,362,325,035,353,406,298,560,973,162,076,526,210,652,122,271,563,
508,461,126,971,339,939,494,791,452,276,382,367,109,909,887,918,301,593,805,
561,625,068,654,179,601,991,400,576,189,454,161,928,994,607,344,025,164,346,
052,843,984,688,923,725,816,560,813,525,941,813,918,663,441,228,326,045,996,
221,847,705,620,330,152,092,747,038,718,076,597,842,152,767,287,243,455,786,
075,892,030,744,897,531,325,977,371,383,211,799,940,364,996,639,285,847,534,
938,857,946,448,016,784,865,036,009,517,675,687,351,901,754,267,767,930,349,
701,659,237,962,313,731,926,968,043,974,378,944,970,907,773,312,633,502,253,
385,808,974,510,034,005,929,458,191,156,338,833,984,823,923,277,582,307,431,
276,795,691,738,107,401,405,428,665,511,501,523,291,780,893,469,936,667,228,
738,588,199,897,667,889,236,827,761,134,091,920,589,699,994,801,983,734,132,
721,766,905,603,166,115,011,209,765,290,743,837,067,926,578,088,772,572,181,
765,847,066,802,447,641,201,764,674,368,109,895,374,595,042,109,554,062,955,
252,120,204,075,973,361,044,512,874,195,373,522,158,185,491,897,321,648,257,
563,237,608,820,959,026,894,495,319,970,376,969,864,869,878,014,523,710,801,
159,470,026,317,194,662,825,685,653,486,795,851,959,456,570,916,448,669,809,
090,498,803,054,147,661,689,414,827,733,174,455,506,396,824,367,388,803,507,
236,554,231,568,418,431,815,847,491,683,672,171,007,617,564,725,817,365,537,
653,694,288,341,894,529,078,595,987,427,778,714,152,473,515,481,116,775,018,
267,603,150,433,920,683,732,227,293,553,015,100,470,809,301,073,853,030,678,
300,415,622,164,978,986,997,311,976,104,334,129,549,835,602,235,566,808,604,
761,600,006,813,934,588,960,176,112,256,560,913,689,013,032,101,596,512,955,
601,487,522,013,334,079,796,239,037,377,742,611,525,962,267,341,066,609,422,
452,521,084,944,427,503,466,835,080,450,211,935,114,444,222,837,067,115,508,
117,048,777,235,171,928,582,737,522,250,631,987,069,286,388,653,733,779,057,
827,897,483,261,327,000,214,418,680,840,565,397,701,583,041,762,715,876,450,
811,022,773,650,880,307,271,940,064,909,157,658,673,877,711,599,609,584,324,
739,962,461,853,254,920,936,956,244,117,131,064,874,615,183,947,841,053,779,
880,716,092,146,035,580,396,242,057,956,495,843,620,997,163,679,206,779,690,
792,348,352,321,271,114,087,548,997,067,929,932,983,575,195,325,075,930,748,
178,030,612,988,062,897,377,652,925,194,480,788,930,850,739,688,718,812,847,
462,401,425,103,405,286,969,290,411,024,052,074,809,372,951,870,769,501,800,
170,433,586,073,053,486,733,734,474,049,056,915,545,415,480,786,478,970,534,
185,579,375,232,827,204,029,316,317,016,022,295,110,328,765,565,470,734,882,
408,359,531,037,033,332,902,858,713,598,764,955,613,572,015,688,458,949,964,
067,135,259,614,182,655,301,892,257,928,438,781,646,823,660,844,900,982,037,
314,619,498,104,404,047,511,893,242,955,878,555,901,316,602,476,815,163,885,
919,123,988,399,144,177,593,795,662,346,381,965,252,522,849,840,455,192,066,
515,362,189,104,078,492,576,155,798,131,276,729,280,007,221,274,503,064,183,
348,598,095,396,238,879,555,495,326,706,833,877,316,174,013,101,108,544,652,
435,690,113,125,324,460,383,977,926,903,315,406,720,070,374,499,176,208,388,
912,333,888,911,974,233,845,050,990,180,962,844,246,483,474,927,688,153,969,
361,133,216,022,018,517,283,673,010,856,929,835,973,768,243,039,277,188,583,
866,689,443,711,974,077,746,027,741,425,326,212,239,500,036,847,915,051,851,
491,766,141,900,969,360,376,373,576,477,749,539,941,223,404,853,151,524,806,
176,785,351,958,798,312,878,607,086,770,425,025,134,525,766,049,447,486,455,
352,591,892,881,252,283,418,067,591,151,239,248,461,998,521,366,181,828,868,
988,654,915,507,392,461,433,028,686,712,505,368,563,814,228,987,491,864,149,
322,851,497,071,695,796,507,439,702,608,863,836,272,486,012,447,960,624,780,
544,436,975,111,140,205,752,122,790,956,759,454,553,884,480,565,478,424,673,
346,445,212,256,631,817,524,725,969,606,877,293,955,189,569,458,993,939,022,
989,873,487,579,450,637,388,948,395,789,067,191,066,812,999,693,586,500,258,
473,065,062,466,413,730,782,412,379,171,943,132,504,772,093,404,489,590,678,
773,074,079,886,814,367,931,242,915,879,843,477,183,147,089,750,605,571,959,
910,805,260,009,656,766,667,234,415,290,804,106,259,453,375,213,508,387,381,
898,889,789,115,598,344,991,308,413,849,153,832,372,861,112,782,956,857,202,
610,113,026,617,731,030,126,303,181,531,426,594,578,148,438,432,725,821,376,
688,785,141,057,974,381,915,945,348,716,117,549,684,824,494,441,102,289,073,
223,159,155,119,471,254,086,304,146,653,087,464,808,616,173,668,799,306,292,
851,580,789,933,001,988,856,972,910,279,494,881,153,360,233,151,723,617,232,
370,233,862,228,971,062,723,529,992,422,298,351,391,791,538,935,031,449,214,
289,401,138,197,644,622,067,532,773,637,009,187,345,137,219,579,959,398,584,
390,531,716,426,707,945,849,320,563,088,242,038,035,577,680,565,641,557,913,
503,012,290,182,379,251,199,077,393,246,666,540,898,318,168,701,196,924,193,
492,388,882,959,125,077,307,463,685,774,012,036,696,057,406,577,753,026,688,
971,720,093,302,019,616,063,638,308,898,132,957,107,021,601,908,100,731,515,
544,538,022,279,003,273,378,449,781,875,215,982,105,379,958,571,599,195,395,
487,691,262,197,702,198,964,353,339,618,805,916,803,948,805,693,812,784,664,
240,332,226,147,342,966,582,556,400,438,337,193,952,888,878,217,657,610,585,
278,239,516,327,342,051,403,663,707,977,886,438,558,146,101,000,867,587,287,
303,076,969,480,197,793,348,253,345,547,705,083,378,078,406,396,491,193,666,
061,729,725,087,459,523,362,242,979,348,494,591,602,347,844,740,795,695,735,
281,647,901,420,043,665,182,905,652,937,187,848,654,051,609,461,877,379,637,
613,167,327,803,420,351,172,902,834,437,370,224,458,293,301,611,203,877,269,
235,603,279,280,765,931,988,592,079,311,034,394,112,278,733,258,179,749,134,
807,845,771,894,533,644,138,937,091,419,773,792,929,748,971,908,385,055,378,
274,648,525,753,930,673,106,441,524,484,349,507,926,892,639,835,460,040,504,
170,799,624,435,061,180,527,361,727,515,454,916,174,655,400,293,009,915,353,
320,129,607,097,184,833,019,078,071,722,012,927,708,961,657,232,773,111,981,
234,382,781,592,115,029,087,718,973,226,455,818,491,700,126,095,331,753,251,
012,846,820,993,444,257,904,456,244,366,225,439,313,481,457,846,707,055,962,
980,664,724,945,767,445,413,991,612,588,788,546,938,193,514,060,308,053,214,
778,624,069,763,925,739,148,990,193,405,754,313,912,071,926,949,277,021,851,
744,179,107,650,113,111,847,194,465,017,787,053,345,705,647,899,614,687,525,
588,379,671,819,640,857,284,151,870,862,308,653,063,477,451,856,524,413,349,
326,837,450,911,470,110,147,249,493,040,295,626,492,830,112,871,586,236,985,
869,989,756,609,854,980,686,222,514,390,398,569,918,176,738,744,003,891,347,
917,924,673,013,039,999,302,243,013,522,882,541,718,624,914,477,488,509,485,
642,661,550,012,426,800,217,346,393,178,142,824,500,963,935,508,496,874,094,
579,612,604,660,765,442,912,723,452,923,663,103,922,680,567,394,390,308,347,
633,821,648,520,092,372,620,703,408,782,372,692,918,820,812,864,796,060,421,
643,270,582,861,127,937,946,031,157,316,594,432,881,695,344,875,791,935,632,
302,066,345,951,894,608,312,118,248,738,417,858,385,709,801,408,328,781,005,
823,938,890,532,121,972,572,860,206,001,160,827,330,657,986,552,840,383,499,
444,821,811,767,822,320,563,660,673,871,682,641,399,206,811,143,282,569,847,
034,648,762,572,068,515,138,806,649,536,967,623,846,262,443,534,640,605,268,
171,344,507,416,440,006,913,304,119,306,915,747,160,553,850,415,700,206,748,
626,958,639,270,288,295,711,277,957,504,425,460,781,680,521,644,324,991,741,
798,243,605,929,260,197,177,084,795,192,389,633,192,667,520,839,794,343,820,
588,401,274,314,217,702,030,964,774,125,301,148,741,686,390,279,976,600,158,
865,731,136,680,122,276,269,121,947,673,186,458,449,889,453,216,119,629,063,
197,378,612,500,163,955,717,362,456,325,400,538,276,215,101,700,059,598,997,
754,737,408,664,852,693,559,573,994,771,883,054,185,966,108,340,911,662,197,
782,602,922,523,884,663,267,882,878,735,336,130,317,965,686,887,182,771,158,
862,443,986,099,120,742,159,815,701,824,315,410,414,702,083,019,248,809,555,
461,880,941,296,747,596,519,179,134,822,376,862,848,447,484,867,463,633,969,
587,174,789,020,378,364,663,222,984,160,948,725,404,047,831,250,507,145,481,
362,365,933,148,990,384,751,591,410,262,449,527,463,873,473,608,341,748,434,
374,851,464,576,316,968,416,750,953,190,267,728,404,688,266,497,996,296,174,
564,904,671,890,564,246,557,798,134,903,967,613,092,762,874,495,912,869,340,
837,697,556,048,365,869,352,088,184,222,506,817,126,223,261,444,352,203,839,
590,445,827,116,991,819,202,465,238,305,652,659,680,051,289,681,658,345,511,
583,935,321,724,415,151,823,540,698,434,950,636,998,722,721,767,819,551,796,
471,608,776,829,217,535,366,030,634,557,563,053,479,724,366,219,108,400,610,
945,209,974,434,494,499,981,258,301,386,046,639,126,541,656,747,888,575,398,
827,631,593,542,072,550,177,711,134,113,079,743,036,906,497,279,598,982,001,
259,224,110,413,470,876,534,773,370,765,080,793,787,122,243,912,009,970,054,
774,780,803,121,207,647,382,436,466,775,407,614,849,021,126,124,565,236,958,
314,768,347,521,155,301,532,802,581,976,058,786,720,771,652,420,292,827,883,
537,109,185,293,410,193,495,538,497,685,864,794,502,931,062,946,134,855,318,
746,985,431,349,598,166,400,031,516,031,638,063,300,490,640,318,663,398,191,
421,549,012,765,264,387,262,816,926,408,122,918,484,351,252,865,649,700,168,
177,200,672,456,204,488,476,141,077,093,325,294,889,848,505,994,888,718,268,
203,453,443,896,699,519,719,604,014,220,134,535,552,833,858,135,833,940,374,
995,019,341,258,317,371,236,712,826,386,475,166,131,271,698,352,323,557,965,
212,878,243,754,660,749,463,675,241,106,285,486,861,709,317,392,265,631,300,
688,389,875,836,642,023,505,745,532,357,587,023,328,308,135,746,530,704,770,
460,424,693,102,930,408,857,593,018,614,861,779,626,430,160,591,580,846,184,
890,488,030,717,232,532,373,886,844,411,796,934,357,106,100,387,763,806,858,
257,136,321,885,683,876,773,273,476,000,211,647,739,466,401,906,637,120,286,
430,523,786,269,993,701,881,707,456,415,075,614,522,776,835,236,987,570,283,
860,255,961,302,475,012,451,952,909,464,430,674,469,667,157,906,484,436,047,
789,287,732,044,575,834,731,870,937,834,169,516,006,644,852,764,900,248,929,
062,197,700,962,165,178,836,725,967,319,321,975,444,166,079,205,164,649,427,
124,121,078,582,651,549,411,704,861,097,851,911,923,166,762,061,907,652,168,
293,621,373,934,683,666,323,377,832,304,091,888,660,452,175,546,190,219,813,
860,491,825,177,057,457,956,247,474,300,287,779,669,242,057,128,669,220,164,
178,621,287,844,513,993,127,576,802,485,483,208,286,008,429,882,761,143,177,
098,002,265,829,581,298,580,592,748,995,841,032,724,958,460,073,368,945,531,
842,564,869,206,330,853,578,065,084,808,382,393,794,904,022,844,468,853,371,
515,150,093,093,467,660,611,727,828,062,972,818,115,573,179,371,946,301,821,
374,469,380,820,640,822,614,113,014,985,430,119,792,325,857,967,925,268,944,
077,701,349,671,193,202,111,785,940,760,644,447,192,730,633,907,578,848,003,
673,430,578,909,669,482,601,789,215,400,980,538,479,709,262,405,577,915,944,
786,876,710,445,291,139,370,170,928,502,563,977,661,508,723,705,945,339,537,
519,061,994,499,319,937,669,519,823,327,864,802,753,185,138,054,457,779,722,
142,733,643,036,176,334,071,607,661,328,756,271,480,366,273,094,783,283,660,
115,945,362,149,347,689,347,992,481,535,930,597,317,839,056,398,639,146,308,
095,655,828,205,693,645,232,301,735,488,436,210,989,119,649,175,310,582,371,
884,024,362,737,504,062,023,614,199,827,986,548,120,676,068,815,764,766,541,
622,005,318,258,901,531,941,167,364,188,851,616,928,668,407,314,180,795,154,
651,149,110,112,402,712,132,903,324,085,364,602,386,702,041,790,195,994,043,
194,295,644,900,059,685,283,568,242,211,441,344,315,524,791,398,675,579,821,
459,930,417,159,890,447,159,186,851,599,718,128,149,161,472,135,155,284,459,
035,113,434,240,961,464,616,534,108,859,097,926,933,246,576,119,180,911,915,
898,009,983,383,097,763,275,077,941,321,012,894,393,670,422,353,280,271,167,
685,297,168,998,074,148,993,755,258,152,691,762,190,746,862,339,995,671,185,
950,553,087,981,075,755,155,631,276,188,502,935,092,854,267,312,644,665,003,
618,684,370,642,725,268,381,676,238,246,602,802,961,244,744,178,609,017,623,
869,364,847,985,382,692,826,264,405,777,147,521,988,411,956,719,861,535,874,
742,221,583,019,737,795,881,708,221,867,135,327,665,115,677,201,709,981,313,
078,771,244,641,979,948,758,461,108,052,568,453,546,559,355,762,760,938,504,
592,928,666,860,851,657,691,372,916,197,409,424,249,239,414,332,815,883,892,
897,119,321,780,340,894,032,902,657,628,791,845,044,880,774,728,561,699,887,
441,754,410,726,664,399,029,461,939,662,068,085,949,964,414,597,381,320,744,
593,073,723,653,190,911,923,046,497,718,734,551,769,537,028,214,602,091,113,
543,916,505,637,571,205,729,641,541,731,193,082,435,432,074,879,796,105,495,
331,737,915,563,271,502,597,175,302,672,592,779,404,455,120,847,841,445,195,
644,781,334,181,836,341,406,575,277,079,548,855,644,136,964,749,353,607,117,
842,564,762,431,023,066,193,131,102,805,972,669,367,678,118,238,516,566,892,
276,470,390,750,091,194,631,902,127,668,126,054,606,286,617,130,561,398,775,
123,308,142,134,637,190,523,780,738,133,360,490,438,262,682,194,961,719,685,
225,571,833,478,050,137,837,807,164,243,277,838,526,795,184,549,302,546,579,
713,833,909,561,523,298,545,161,045,647,325,758,808,495,151,821,549,415,951,
935,437,039,704,017,372,143,777,739,109,567,815,504,519,419,880,499,936,971,
623,081,982,848,254,607,557,127,659,300,142,449,453,542,457,411,652,697,859,
769,590,565,357,004,856,326,695,328,107,205,871,381,069,655,543,588,694,217,
078,937,581,830,275,927,756,100,047,993,443,718,426,595,613,348,343,881,585,
789,624,472,545,123,884,787,901,674,250,832,155,491,096,444,028,679,948,011,
180,044,590,563,585,664,153,767,057,319,594,612,221,758,965,220,235,084,901,
338,399,830,318,719,583,853,813,478,709,205,742,490,645,117,128,678,272,791,
694,337,565,087,615,606,383,584,899,046,324,332,507,767,096,617,120,732,298,
507,693,368,286,630,667,291,411,186,867,695,733,102,474,430,617,006,063,070,
051,681,635,268,033,999,909,354,751,375,239,578,303,395,753,509,543,347,078,
212,944,784,196,979,465,495,499,380,099,401,107,238,664,250,367,595,251,446,
231,303,619,593,588,251,436,490,496,195,964,861,452,051,142,184,348,349,757,
075,682,838,538,253,615,456,680,529,588,131,898,022,142,651,232,970,955,623,
288,813,029,039,458,176,581,856,443,966,197,069,833,963,995,878,275,287,833,
207,191,438,274,857,180,795,475,508,340,499,542,725,900,695,797,818,534,435,
821,070,956,043,308,789,524,515,855,451,776,900,212,362,830,644,230,229,977,
958,626,399,319,655,329,239,170,601,245,646,027,734,501,047,320,579,482,819,
286,954,777,277,930,975,428,708,970,607,363,405,840,441,296,523,443,242,123,
463,566,487,010,978,909,120,555,928,920,856,337,203,098,847,645,688,961,886,
771,475,700,147,035,220,595,939,217,240,164,042,735,683,964,930,542,969,497,
783,549,683,320,238,008,138,224,234,804,789,834,225,068,835,342,741,203,754,
228,569,855,926,067,574,698,670,732,924,074,333,076,852,228,359,071,750,595,
187,730,883,978,732,038,348,099,953,487,818,059,072,673,466,227,290,090,951,
419,225,134,724,545,529,587,359,078,337,473,744,909,096,074,631,780,170,286,
268,348,416,724,102,801,875,894,072,107,123,881,000,556,162,194,854,599,991,
875,879,291,420,094,603,901,086,021,408,664,096,988,327,154,656,558,026,378,
220,587,923,336,412,214,679,564,937,930,934,385,658,991,385,085,613,727,790,
669,177,852,143,626,417,310,387,468,266,291,402,897,169,841,592,969,232,965,
984,932,705,302,930,066,048,363,420,896,695,832,117,805,419,930,812,831,089,
497,135,361,755,167,964,378,111,709,067,494,973,845,856,602,909,676,105,496,
982,131,820,806,018,448,020,338,503,587,354,267,749,039,389,080,292,164,128,
490,317,355,579,965,920,533,445,739,984,599,520,046,438,862,932,066,145,119,
691,415,013,960,334,051,976,858,881,068,745,531,289,550,127,476,381,311,630,
990,381,854,047,157,175,099,641,555,555,458,332,500,462,518,072,830,252,879,
500,682,425,402,103,923,282,360,413,068,603,531,322,608,632,597,642,821,912,
323,329,664,703,719,595,487,132,487,378,885,685,913,273,488,694,501,850,218,
473,208,577,436,106,649,623,486,020,512,236,596,402,372,976,376,135,221,334,
172,095,017,622,297,092,180,973,851,264,732,884,563,244,345,338,053,079,458,
624,486,410,889,212,079,738,210,195,711,887,995,040,858,942,311,901,937,229,
580,666,129,268,632,640,671,071,470,162,468,540,407,338,308,002,384,551,652,
292,818,277,814,914,418,357,021,468,474,977,130,636,715,191,722,736,445,759,
757,149,463,352,215,812,308,360,857,494,233,114,611,376,665,959,662,150,179,
544,732,706,664,330,887,186,781,849,674,397,377,627,924,843,323,727,519,950,
325,189,711,382,555,137,426,916,438,992,384,368,515,525,279,899,414,647,408,
150,537,134,041,248,769,039,741,421,335,238,993,982,880,084,287,935,054,236,
612,064,167,408,728,636,282,326,257,276,884,702,130,740,061,742,556,466,984,
094,909,339,829,454,377,033,525,383,758,655,646,149,594,994,796,195,223,007,
915,119,494,454,332,412,016,733,064,196,192,775,898,689,760,894,021,764,109,
514,407,152,295,465,093,264,390,223,197,539,876,777,639,306,231,900,886,001,
026,409,411,057,434,463,770,123,799,675,934,604,021,184,706,512,872,837,297,
510,662,954,028,894,837,738,012,617,943,688,498,172,802,382,079,603,046,777,
827,839,844,003,259,767,662,483,189,140,273,925,234,861,171,822,044,827,506,
025,707,591,745,137,243,047,833,914,510,435,114,814,188,708,115,671,860,283,
651,388,671,280,252,291,759,868,013,304,386,915,475,738,194,208,851,927,338,
450,926,578,749,983,466,676,957,963,027,288,744,590,277,515,352,635,990,629,
711,775,915,246,538,835,931,254,386,756,286,494,872,536,620,653,427,100,354,
023,640,386,666,180,095,906,565,963,088,473,189,029,618,808,383,164,924,412,
480,213,367,958,115,531,268,937,745,132,870,820,396,991,168,360,187,521,779,
622,452,504,412,546,277,714,016,604,519,673,379,787,211,496,365,523,709,332,
937,156,730,506,964,752,202,985,365,254,039,137,699,966,100,601,650,643,607,
919,822,569,790,328,821,388,298,788,260,923,465,894,043,491,360,725,891,487,
383,568,730,212,602,691,672,606,741,034,678,445,547,952,203,369,608,991,250,
079,211,132,565,875,540,510,876,907,685,155,152,682,984,588,760,182,148,690,
605,991,929,729,838,028,016,276,937,077,316,990,181,165,866,311,773,859,933,
753,205,673,210,394,188,364,190,833,641,991,815,208,687,936,725,377,756,663,
280,504,628,416,465,764,380,859,329,228,195,113,383,934,464,221,783,165,257,
041,381,572,013,845,740,013,165,421,164,639,321,802,828,860,412,721,796,991,
155,830,250,491,728,423,274,199,268,407,953,388,579,320,511,712,034,831,872,
305,319,666,142,727,318,392,003,619,379,896,013,464,243,419,159,711,201,986,
563,597,802,026,599,866,583,628,311,673,075,506,159,139,967,724,912,044,123,
324,623,532,590,650,623,321,398,338,215,404,787,815,954,358,773,816,643,805,
368,975,070,216,596,391,933,940,961,917,512,852,258,629,308,589,848,665,313,
482,119,300,520,438,993,738,058,915,653,644,894,380,687,044,892,685,780,039,
730,886,969,114,204,925,462,542,226,272,868,795,872,409,275,019,170,663,484,
660,313,147,960,230,747,719,600,206,591,331,616,422,572,175,100,033,331,502,
791,973,320,110,578,888,323,476,145,755,818,072,500,965,393,177,604,906,236,
149,621,728,203,204,290,211,287,915,744,679,873,575,075,364,151,204,771,393,
440,053,024,291,757,638,964,773,330,520,307,921,736,617,668,277,825,720,525,
776,283,748,000,206,636,683,031,179,524,897,953,900,870,591,319,407,856,877,
264,854,744,503,516,839,405,743,462,484,499,894,399,584,201,018,165,310,386,
673,563,380,195,955,351,564,371,322,429,714,744,753,239,815,028,263,610,776,
147,174,669,463,965,661,833,910,796,388,707,114,966,232,385,508,179,032,298,
964,055,288,665,508,291,461,006,274,666,174,195,292,344,081,855,174,964,239,
946,963,063,556,650,280,290,418,256,355,718,255,977,573,649,024,852,740,355,
177,188,986,226,370,518,568,668,349,779,406,103,708,856,750,525,975,192,584,
841,323,681,478,896,648,935,972,495,405,025,328,906,573,407,285,794,105,056,
885,964,181,018,816,229,425,980,594,477,016,083,663,483,152,717,512,753,826,
433,366,746,921,688,714,898,573,590,533,846,480,689,883,479,519,181,082,176,
306,853,846,598,527,049,788,612,760,312,855,446,172,251,305,669,137,046,455,
067,273,244,575,937,096,667,191,769,648,186,522,256,152,123,005,662,205,032,
288,376,738,226,981,643,049,887,572,406,690,116,562,265,434,449,024,266,361,
097,469,397,195,575,036,664,319,633,073,336,058,284,458,330,990,676,025,475,
670,677,170,142,149,184,171,035,376,978,581,645,158,680,560,946,637,277,709,
256,796,098,925,433,559,922,463,156,288,550,513,445,530,416,518,319,073,641,
844,443,140,363,991,737,955,582,066,945,379,980,157,414,634,297,026,031,928,
525,346,954,413,642,965,960,804,232,423,434,606,554,506,099,255,815,596,296,
962,625,310,319,419,725,561,063,065,600,633,172,847,745,328,682,047,289,251,
911,815,938,112,326,187,528,883,888,449,549,590,022,172,031,507,395,856,178,
095,080,978,804,392,504,452,315,120,249,435,062,001,122,565,781,576,439,158,
632,554,488,934,945,527,751,514,797,453,693,198,765,095,157,086,809,401,428,
115,210,159,859,446,963,088,793,748,043,430,959,336,865,670,573,462,172,563,
062,606,166,566,258,497,156,044,153,707,704,586,719,196,433,578,057,002,066,
192,336,509,034,467,263,818,051,708,835,271,873,370,138,118,984,775,032,392,
139,197,507,990,115,822,316,597,852,288,352,485,142,662,887,626,304,838,783,
672,085,644,109,203,204,520,104,826,200,793,921,536,748,799,424,475,577,086,
737,416,772,937,205,858,571,281,495,867,796,520,076,427,623,654,723,693,777,
583,653,599,848,470,624,928,988,674,693,432,746,591,540,160,483,501,844,594,
267,992,392,114,297,903,981,302,617,788,311,529,854,985,753,803,315,352,436,
161,489,450,472,281,246,294,693,507,163,006,552,653,546,863,416,536,602,195,
631,304,307,855,599,595,266,841,629,654,645,246,352,809,576,216,696,394,993,
516,949,599,545,136,077,381,491,865,803,844,759,334,696,553,341,857,674,632,
502,057,395,813,178,405,491,930,686,063,544,850,629,144,436,802,528,129,184,
928,665,300,567,775,321,801,889,388,649,717,629,976,994,964,193,784,004,213,
835,473,340,868,180,593,539,806,392,406,465,225,180,166,563,704,958,357,544,
942,452,210,238,598,362,734,117,543,313,161,966,649,073,347,161,434,295,883,
934,116,512,745,720,646,745,276,830,654,256,195,249,834,001,088,719,753,792,
989,113,192,533,488,510,302,438,232,172,386,651,854,723,854,995,011,970,918,
781,365,524,619,723,845,827,603,311,707,575,883,558,946,114,423,359,227,751,
940,883,239,420,606,060,571,550,891,193,104,970,607,203,438,288,313,673,534,
497,286,616,008,908,629,937,597,264,722,757,589,385,541,401,715,432,476,926,
010,068,170,960,488,196,864,063,627,786,848,304,031,108,162,557,948,098,888,
208,438,512,870,556,740,626,793,120,909,716,525,943,184,177,593,043,950,051,
475,296,329,710,760,464,016,090,505,200,719,754,959,661,915,208,210,905,910,
383,947,139,076,599,172,290,893,804,576,899,636,224,984,644,760,101,561,601,
090,272,732,628,111,696,502,613,791,819,536,789,843,316,761,352,440,186,641,
222,261,032,457,023,063,196,968,798,176,607,934,296,637,597,332,680,827,182,
188,024,999,589,285,287,823,443,171,117,189,539,787,267,042,726,883,234,915,
657,458,458,369,223,791,907,275,778,938,525,784,621,906,421,266,705,463,399,
070,486,798,080,842,542,457,281,587,994,383,998,815,879,822,513,517,806,469,
143,190,068,081,700,480,417,244,270,380,502,920,354,854,286,405,474,203,516,
456,802,093,852,041,306,695,952,556,307,780,226,958,518,054,634,875,323,004,
605,944,158,082,102,120,127,091,775,998,922,673,716,180,455,052,707,440,728,
564,413,869,109,003,609,370,647,497,249,213,586,883,269,083,857,495,182,864,
855,374,597,583,982,607,925,476,670,904,004,708,838,454,324,195,315,098,120,
486,732,294,985,711,843,734,853,658,567,173,618,859,121,120,845,816,608,149,
328,801,798,294,212,472,994,100,625,255,103,833,505,315,799,589,363,450,175,
396,475,463,077,091,385,886,957,288,722,810,352,247,365,826,180,232,995,992,
075,219,310,251,740,030,422,345,199,435,390,181,638,534,511,668,238,824,842,
841,113,347,486,540,736,794,878,072,923,839,717,034,773,014,329,709,546,793,
351,755,180,928,666,913,961,931,305,217,334,016,989,176,224,674,333,190,532,
671,236,788,023,740,831,278,645,625,738,079,414,163,766,646,614,295,517,607,
549,229,894,253,261,213,588,470,408,285,330,045,793,612,944,263,994,002,150,
027,686,678,999,133,673,456,376,993,966,968,133,796,972,608,133,328,554,654,
589,800,564,149,459,406,896,261,386,996,647,671,895,505,810,230,833,909,712,
874,908,552,662,802,744,147,049,839,766,452,150,662,588,465,657,404,091,870,
976,727,185,884,275,235,030,050,018,672,722,432,483,759,282,071,394,770,869,
370,307,976,438,767,423,805,625,180,993,780,165,002,542,084,271,201,860,992,
474,212,557,090,541,480,260,694,311,917,206,563,424,729,458,147,564,019,875,
119,037,762,634,081,622,230,334,601,562,331,614,902,367,966,695,978,244,202,
766,788,191,142,685,909,562,256,338,957,673,640,028,917,971,365,843,460,408,
691,864,994,266,921,620,337,102,225,786,300,230,303,482,356,206,429,426,008,
061,377,367,168,058,177,796,105,203,996,457,934,455,976,133,922,291,806,739,
970,304,869,092,299,572,725,260,546,197,067,155,352,530,178,288,900,619,599,
293,949,486,191,011,682,563,137,288,563,559,608,143,895,384,570,922,761,968,
547,343,786,676,148,526,829,071,573,655,701,932,286,257,230,781,249,427,463,
356,491,793,827,514,014,789,080,565,115,200,752,328,317,508,010,217,964,357,
965,274,293,976,867,466,774,650,440,188,342,015,205,180,308,687,215,518,914,
670,615,816,792,426,408,619,749,163,648,865,234,736,565,694,406,039,708,765,
919,761,354,796,190,341,380,751,188,362,393,223,054,374,993,263,060,521,189,
378,725,956,613,658,706,184,001,507,826,585,086,564,491,329,340,462,013,814,
548,019,256,032,654,970,600,627,202,384,852,414,522,043,013,810,952,814,140,
572,760,245,356,535,678,381,020,951,841,719,987,112,888,212,353,090,147,491,
039,174,228,712,318,164,568,398,075,916,323,530,654,294,586,101,563,427,036,
606,517,442,922,761,096,558,270,481,272,650,903,437,993,897,828,351,192,406,
734,004,427,975,259,545,687,286,712,710,086,805,036,916,450,182,938,392,162,
040,669,420,510,335,905,104,645,795,533,509,511,275,408,931,140,596,617,610,
914,489,787,940,966,224,865,188,709,191,059,135,545,107,100,531,723,636,725,
310,861,276,192,506,466,693,509,491,017,579,136,077,660,223,473,658,247,486,
340,590,927,041,796,912,002,408,828,042,125,185,241,336,959,628,559,754,050,
471,956,511,005,122,008,633,396,681,413,804,027,517,128,020,402,004,647,641,
399,377,798,647,110,698,052,505,189,398,277,775,671,039,643,479,486,415,742,
537,414,345,373,780,012,277,789,406,046,249,725,052,587,930,430,965,117,655,
265,205,960,289,006,249,530,207,143,103,968,936,280,355,755,869,883,590,095,
359,919,018,424,979,044,352,870,895,608,304,390,609,192,686,833,922,305,960,
943,734,255,242,779,472,913,663,372,907,755,571,070,320,110,209,842,303,283,
098,824,812,999,269,117,556,045,385,055,240,437,326,906,215,426,599,921,570,
055,645,377,181,263,300,417,876,668,304,484,871,609,277,305,031,288,144,241,
625,939,512,266,314,867,346,277,189,863,827,023,727,624,835,414,412,196,996,
689,752,283,731,697,025,724,731,206,690,623,960,732,398,923,253,042,435,447,
183,757,440,024,425,955,975,674,588,517,535,019,958,016,160,946,116,835,815,
689,734,264,193,618,308,343,211,207,814,808,847,710,282,075,747,915,118,708,
668,165,876,295,787,916,059,212,937,431,426,525,967,524,679,974,542,175,639,
469,109,635,255,875,393,564,734,730,862,065,799,646,676,849,944,489,158,737,
183,364,787,293,201,904,232,232,356,956,730,334,228,789,491,154,733,365,826,
378,756,819,253,279,130,689,700,988,439,395,851,285,366,228,339,991,069,656,
049,339,344,536,265,517,839,885,328,263,215,423,029,992,308,524,872,622,874,
317,906,061,885,910,591,949,871,428,127,711,923,994,525,550,734,837,387,410,
844,631,969,327,641,787,538,405,895,114,453,247,364,326,332,822,919,480,238,
740,720,199,060,403,996,346,344,139,793,283,406,073,653,708,046,762,964,717,
681,914,287,706,099,179,366,983,025,619,591,065,166,815,495,626,339,075,945,
547,287,172,605,381,378,042,690,919,974,309,560,753,092,598,114,891,263,023,
381,062,580,193,109,917,902,025,528,354,415,242,700,244,293,242,801,054,409,
546,558,127,696,121,581,803,785,075,557,127,362,496,138,301,035,252,637,114,
031,243,842,475,328,145,048,245,556,572,101,390,551,313,817,515,858,544,129,
910,839,069,624,207,043,714,893,869,014,777,404,062,503,712,826,376,758,019,
427,128,168,543,364,139,630,199,075,773,282,389,607,606,705,602,532,395,831,
644,037,130,065,734,026,114,236,066,222,200,372,340,137,420,848,943,220,867,
868,019,417,034,246,904,438,829,593,161,138,638,907,627,338,733,601,394,234,
605,835,685,707,714,970,538,115,411,622,035,243,709,586,664,970,437,717,420,
002,342,455,091,314,983,388,572,325,760,332,025,523,673,275,871,927,839,072,
525,726,397,087,405,724,571,475,199,071,429,673,313,639,380,983,146,447,954,
258,621,584,453,579,282,398,975,727,720,149,645,486,404,039,298,868,860,742,
556,726,967,216,553,590,642,817,749,862,828,302,406,851,427,313,505,563,145,
829,846,156,726,655,394,309,512,045,194,971,947,343,499,360,794,120,252,762,
315,421,058,302,151,986,821,179,769,187,659,847,811,467,725,245,693,315,355,
899,264,425,074,759,708,002,131,026,807,679,771,414,894,647,619,947,863,796,
559,886,550,232,380,800,897,300,629,395,336,321,258,295,149,424,178,852,202,
123,500,662,807,512,205,969,312,025,979,529,237,108,151,793,807,446,589,353,
696,758,111,461,008,823,130,684,223,581,580,709,767,725,090,162,203,324,588,
724,845,952,983,907,599,130,763,019,087,802,818,177,499,439,466,636,549,021,
319,834,827,144,782,156,863,868,686,910,857,234,486,644,965,743,965,637,790,
316,342,650,988,891,959,746,556,215,359,211,897,527,011,314,125,058,933,161,
028,309,717,126,660,889,188,636,751,796,882,155,049,008,687,388,132,127,541,
840,283,783,436,152,274,987,608,083,108,458,254,699,115,617,894,866,389,013,
648,024,606,983,127,494,405,893,837,863,077,721,162,908,139,725,814,524,598,
543,535,600,004,860,458,526,371,382,133,353,641,003,781,693,671,583,132,259,
223,572,081,894,085,993,313,323,624,708,502,115,897,347,215,192,720,748,131,
254,930,933,099,106,828,653,956,089,432,498,960,607,204,360,516,150,143,851,
230,507,230,893,208,369,726,159,757,739,921,214,403,932,327,079,614,331,806,
057,225,665,412,895,743,768,421,645,975,162,430,366,180,666,636,680,347,011,
432,996,082,250,529,059,989,059,831,849,760,479,656,259,131,328,575,951,377,
566,857,526,184,233,643,106,135,134,891,331,460,866,713,183,814,545,334,702,
969,398,128,465,153,563,860,494,368,221,576,029,138,556,136,665,327,473,068,
825,717,015,662,146,672,548,869,336,853,803,698,252,098,323,234,536,779,356,
408,565,941,266,845,256,099,290,297,547,920,903,812,789,375,492,760,363,875,
063,367,228,619,057,715,963,838,072,594,860,636,337,883,308,303,216,105,271,
776,360,098,311,146,590,540,481,590,239,966,176,539,507,118,623,631,207,503,
826,681,410,543,788,908,985,053,215,213,632,160,260,089,761,687,596,797,018,
108,229,408,627,619,746,923,840,095,622,083,737,435,701,214,864,867,391,864,
389,758,825,072,543,170,622,705,304,986,057,460,972,727,754,749,258,377,770,
942,598,456,249,457,127,799,117,776,393,487,922,227,209,448,612,394,698,669,
469,437,516,619,736,829,646,801,248,178,286,731,163,046,953,781,135,634,661,
482,331,875,742,692,222,908,080,843,637,208,015,665,608,098,357,467,292,336,
088,373,298,365,967,900,144,268,181,840,349,818,810,131,093,361,154,677,931,
904,896,076,204,331,536,936,039,424,465,350,735,136,047,541,879,740,577,471,
535,722,829,723,474,188,203,090,711,797,310,681,600,665,099,532,180,103,444,
307,926,497,682,042,274,264,295,175,429,710,752,337,833,140,076,572,624,201,
208,090,185,886,373,515,500,681,244,138,348,263,693,820,044,888,766,395,128,
785,202,230,172,261,884,415,222,562,082,307,904,463,128,812,310,786,334,217,
098,210,696,335,829,990,992,495,514,468,178,144,829,978,273,217,390,104,529,
046,080,539,259,273,610,896,183,107,156,259,969,380,257,405,138,680,948,972,
621,906,857,811,573,756,745,359,964,716,226,387,808,012,958,731,920,544,508,
976,945,163,351,205,989,661,022,011,722,302,242,463,771,620,431,083,130,961,
176,561,705,698,286,224,887,276,420,784,530,975,539,470,162,537,602,930,214,
033,643,052,056,292,690,989,728,875,393,635,079,354,575,043,295,036,998,480,
333,611,569,005,162,595,848,915,910,992,284,562,690,688,091,926,397,156,007,
646,494,775,417,919,942,565,332,180,640,493,957,316,986,357,591,130,274,213,
404,137,909,501,152,392,422,710,814,727,554,930,845,926,583,077,263,873,463,
974,246,931,077,932,835,662,108,635,401,827,855,613,912,350,095,080,836,236,
928,189,405,020,579,476,412,584,189,543,668,687,627,205,815,810,636,119,830,
728,189,342,314,451,936,673,353,999,031,507,502,678,396,574,571,233,006,822,
360,332,053,594,498,372,280,396,133,883,481,792,107,083,164,748,789,314,318,
866,247,592,560,931,017,706,406,333,322,725,585,203,890,257,167,647,123,051,
775,997,058,352,980,463,746,671,199,033,832,497,353,708,528,037,905,880,947,
577,354,498,347,331,984,211,289,099,102,267,417,915,324,607,444,475,869,521,
110,931,594,005,004,042,204,460,541,720,653,277,430,397,245,411,062,598,983,
251,762,592,907,343,060,322,744,866,515,073,360,282,449,305,289,709,560,154,
473,954,586,885,112,167,728,195,346,172,309,758,586,663,454,333,327,881,362,
225,365,203,394,160,165,169,709,905,180,637,101,260,280,258,032,284,218,892,
633,066,428,320,210,185,234,464,326,965,253,371,597,723,498,556,003,003,960,
358,986,306,181,423,827,339,430,697,906,678,161,862,129,514,310,785,982,874,
601,284,686,167,645,620,454,598,501,711,036,940,871,810,072,249,206,573,388,
637,862,479,449,534,293,162,730,942,708,235,858,258,877,061,690,083,161,499,
493,694,673,850,161,135,558,305,981,041,243,778,971,185,252,308,992,984,028,
687,473,946,066,958,420,712,900,436,933,565,646,740,508,453,857,702,175,859,
645,634,853,452,398,261,567,354,110,974,011,009,186,675,545,971,057,365,498,
288,541,838,532,638,501,761,206,166,790,513,748,497,620,234,672,491,017,567,
017,412,878,386,647,649,270,785,825,102,343,909,878,360,301,553,036,012,412,
656,568,609,907,318,337,683,844,309,562,056,494,925,006,387,255,739,678,842,
265,600,061,402,625,978,124,437,036,128,862,737,704,722,225,667,608,031,222,
566,364,513,932,808,922,618,748,331,134,057,201,975,107,818,159,341,338,599,
204,706,190,663,577,186,033,938,393,318,976,327,224,348,600,382,743,121,430,
056,996,594,066,098,869,816,190,277,321,857,856,829,047,028,017,720,325,767,
451,808,601,459,058,210,509,611,850,833,231,647,054,504,721,109,564,593,070,
454,267,886,777,571,231,668,690,361,946,531,004,083,956,502,129,840,733,682,
544,717,886,515,366,537,781,822,785,737,098,570,065,705,741,719,935,894,457,
171,118,891,181,122,219,256,010,894,051,555,057,798,049,453,704,639,286,180,
118,133,002,845,224,551,406,910,217,137,686,154,281,107,205,664,700,266,618,
046,794,717,729,977,642,159,377,228,614,712,667,794,422,181,735,426,999,101,
870,448,175,907,489,545,749,839,446,057,023,053,333,811,608,263,460,608,118,
581,813,737,689,148,220,868,475,723,360,119,767,952,425,169,554,705,902,191,
280,223,454,077,875,135,459,272,344,889,057,228,609,089,701,988,115,207,844,
385,508,367,906,429,855,513,748,039,301,688,986,248,353,723,276,767,442,781,
384,065,911,703,254,877,613,684,117,843,635,534,363,344,422,726,472,097,209,
092,195,767,089,177,118,251,048,417,571,516,250,117,724,893,601,592,553,325,
874,514,370,065,348,431,453,918,025,840,698,284,851,536,321,711,048,057,122,
118,965,985,922,133,506,543,062,782,718,542,248,560,254,479,787,498,957,075,
630,213,337,596,457,249,541,433,780,492,298,006,795,329,368,567,467,080,472,
369,894,521,987,565,376,375,461,616,158,353,442,628,841,502,268,528,101,558,
277,561,071,579,609,523,339,826,666,831,556,054,693,851,119,770,828,502,850,
827,513,564,048,842,106,106,190,987,365,068,823,820,507,322,354,434,820,553,
677,079,560,390,143,325,952,104,440,898,038,022,929,258,039,227,597,427,611,
073,121,082,203,523,304,789,546,661,830,934,115,740,323,709,255,961,854,670,
644,334,990,930,168,250,584,034,700,233,534,047,378,713,374,743,485,031,078,
163,801,459,529,298,000,447,333,895,409,667,767,747,129,116,165,424,699,196,
201,614,423,133,190,285,810,140,707,991,465,762,142,980,520,187,560,409,447,
794,793,019,146,110,324,724,555,187,661,018,145,612,021,064,181,813,694,813,
865,489,463,715,976,691,172,928,918,200,426,499,112,816,188,074,812,933,339,
807,942,848,051,454,377,130,676,986,010,346,919,582,291,598,138,046,581,447,
445,677,633,335,883,368,800,368,781,319,893,536,320,933,771,051,195,499,895,
797,970,566,222,728,400,158,701,745,390,667,210,219,693,789,496,604,431,077,
417,280,149,681,667,121,850,378,373,010,963,830,370,722,590,303,304,038,896,
219,837,503,343,488,949,090,532,647,566,723,730,181,634,877,953,059,264,632,
434,488,726,458,024,002,585,666,220,288,345,664,464,284,357,376,125,613,317,
527,497,956,434,156,550,275,552,956,323,730,526,074,050,453,743,167,432,400,
644,628,892,725,186,194,164,775,259,763,679,124,376,044,284,703,299,247,916,
635,246,734,886,010,286,310,185,015,373,063,961,752,757,489,392,246,474,450,
539,571,383,428,382,792,160,452,057,741,259,795,107,683,324,400,735,854,320,
486,200,662,929,994,283,384,297,947,160,486,965,207,308,935,712,987,219,353,
465,654,442,598,182,195,767,087,037,953,733,248,496,060,750,514,246,044,351,
072,912,392,232,455,076,089,850,075,567,815,971,547,725,978,267,654,255,352,
502,636,545,554,274,798,068,895,352,146,563,981,245,811,229,388,741,987,760,
093,684,450,935,403,063,067,090,221,554,813,500,470,875,582,876,148,313,046,
804,216,902,086,961,547,504,444,977,439,646,397,910,415,767,474,852,244,849,
324,355,037,107,691,334,918,686,366,909,956,362,361,797,596,049,983,369,377,
758,971,265,107,630,908,300,135,683,900,250,836,159,673,755,591,586,019,596,
825,679,145,026,084,235,985,410,770,938,582,500,797,245,947,037,248,553,962,
741,857,295,227,995,050,981,212,953,884,888,945,386,006,532,131,598,973,705,
177,436,267,060,716,553,521,653,122,358,890,975,630,268,592,582,057,111,419,
519,305,475,630,329,397,099,357,114,547,922,149,686,302,241,992,737,320,865,
985,033,212,867,850,313,636,447,813,419,389,245,815,851,701,245,712,766,866,
332,751,898,780,564,788,988,756,447,707,128,171,234,359,343,844,970,488,229,
129,426,987,906,044,520,657,857,672,631,598,926,407,831,583,695,761,847,129,
802,849,639,431,983,767,374,045,838,608,670,381,929,724,833,074,281,310,032,
227,132,691,672,202,312,298,025,707,351,125,931,639,266,394,677,409,523,053,
370,620,132,542,743,128,434,496,238,445,199,628,185,628,641,949,555,114,303,
153,348,359,934,247,566,611,408,196,420,515,081,006,529,340,356,641,012,464,
123,343,998,867,753,907,265,846,410,420,448,958,631,644,883,873,170,719,013,
808,687,880,909,337,346,880,807,455,957,697,503,188,384,354,989,691,483,571,
928,562,533,922,509,787,630,151,049,665,893,726,395,314,207,018,569,196,865,
253,895,258,315,412,672,781,218,844,170,271,475,873,611,104,530,142,966,322,
899,696,316,837,318,383,823,055,031,562,102,632,446,519,216,190,577,859,744,
882,456,021,822,105,457,473,338,478,071,875,483,451,778,848,636,122,478,122,
655,535,373,870,542,979,575,178,787,196,019,487,303,717,794,376,168,831,625,
399,981,038,652,333,211,189,130,568,292,325,808,781,150,480,412,370,209,089,
033,787,794,595,667,481,753,327,064,764,977,046,132,555,166,824,347,592,162,
535,143,660,346,371,558,066,338,014,055,202,751,004,754,255,086,777,185,403,
459,059,001,496,516,273,769,915,744,613,602,818,625,433,689,663,087,532,239,
814,903,526,297,956,945,309,667,776,208,616,894,952,817,332,346,975,342,765,
946,302,883,901,667,126,406,696,004,575,867,890,013,141,216,472,406,340,569,
079,298,130,495,827,416,558,831,834,003,807,312,096,545,560,224,803,919,134,
910,494,877,876,712,662,767,110,524,710,048,282,099,305,184,814,494,869,409,
174,751,409,097,545,613,665,557,345,359,884,809,379,192,405,080,032,946,999,
393,547,852,148,192,889,699,406,955,831,523,589,152,911,302,891,083,804,472,
630,034,788,006,841,048,280,499,109,177,313,017,158,209,784,536,061,612,417,
032,091,563,144,946,692,304,064,695,485,853,682,053,077,758,368,830,962,509,
500,001,702,324,798,358,458,262,266,698,133,061,521,635,774,669,887,365,467,
044,090,295,692,236,810,901,320,131,146,772,909,890,185,617,759,490,926,192,
238,250,743,040,752,010,689,746,714,050,246,879,464,748,153,619,977,582,258,
035,312,490,097,469,887,298,264,666,549,195,702,001,334,761,465,687,765,186,
113,759,481,236,333,905,264,862,445,540,980,574,890,673,993,306,591,022,358,
567,648,325,975,193,324,307,182,438,867,271,437,514,822,403,526,572,298,411,
408,910,162,763,654,158,482,914,472,356,642,558,936,522,950,094,652,608,645,
452,734,469,343,982,627,488,351,521,512,770,828,139,886,748,683,540,514,514,
872,163,527,320,020,666,723,636,951,331,686,869,355,319,283,540,170,930,090,
575,976,570,787,906,402,297,965,520,430,619,761,780,361,183,812,587,386,968,
756,533,798,089,726,415,361,784,680,517,760,030,389,985,988,705,908,745,126,
057,362,329,654,324,629,268,690,086,614,026,493,303,146,463,105,340,303,619,
896,816,922,455,786,910,090,402,546,760,634,168,585,336,078,479,992,293,048,
033,915,658,413,425,681,222,237,445,247,187,431,018,720,061,324,512,917,662,
255,475,966,446,065,859,163,908,313,585,154,442,343,704,333,769,995,721,115,
204,170,569,853,546,763,729,613,573,180,470,472,250,958,381,477,467,164,267,
553,367,127,471,941,067,508,895,345,629,153,301,414,994,730,995,633,355,953,
371,792,602,861,566,707,211,619,642,721,527,223,185,690,042,103,647,402,578,
426,822,593,718,285,020,599,937,959,563,616,676,054,275,874,472,032,462,803,
806,293,518,136,063,312,508,655,885,884,801,522,625,495,413,049,411,665,873,
581,643,839,361,504,745,923,376,336,565,531,294,433,079,346,900,767,531,905,
062,356,343,734,995,717,772,396,541,339,302,495,134,216,305,792,576,233,380,
214,852,758,483,266,578,532,446,743,601,644,555,418,151,531,791,064,841,531,
024,087,001,423,125,559,176,903,799,179,919,120,260,555,071,352,966,129,523,
153,687,555,806,836,130,661,237,543,997,708,970,541,372,870,205,388,810,870,
300,039,050,095,585,231,421,994,324,018,172,621,203,034,454,139,910,558,381,
918,851,955,453,960,543,661,829,251,192,028,383,854,791,802,306,947,112,007,
302,160,921,197,582,179,724,211,451,509,695,491,325,156,469,989,259,740,710,
830,692,514,545,677,571,748,256,136,880,455,369,546,821,598,676,794,345,442,
356,861,064,479,634,297,944,061,348,974,506,893,097,565,886,877,850,842,628,
426,276,688,361,504,245,421,835,339,476,948,245,255,337,869,843,704,918,431,
649,437,397,419,157,846,978,528,709,193,857,704,425,597,902,095,285,197,172,
945,693,779,993,294,840,369,533,215,821,848,520,941,847,717,219,580,514,702,
795,192,406,155,601,882,839,383,333,965,876,778,458,839,111,758,061,731,232,
633,160,375,551,217,196,671,881,777,027,319,329,920,251,058,428,367,666,170,
383,466,141,219,171,018,949,803,025,448,726,375,897,018,015,242,328,001,274,
801,206,204,826,812,587,193,959,865,563,010,245,707,140,754,192,466,421,530,
668,183,393,224,213,708,886,011,177,339,456,928,994,867,631,291,005,029,619,
884,987,037,970,813,461,290,619,653,155,711,990,350,761,117,597,690,619,120,
274,690,800,475,762,543,102,738,578,038,608,037,186,504,177,942,142,393,550,
878,043,029,233,265,102,977,618,942,412,965,902,175,957,669,862,755,048,909,
101,917,522,840,222,011,710,979,341,849,527,647,301,641,491,166,421,505,754,
619,288,963,217,563,235,959,509,255,695,325,759,993,949,775,105,856,957,952,
826,273,467,878,350,878,215,812,839,181,424,609,399,999,905,654,912,075,142,
356,933,392,966,840,754,440,059,509,806,816,459,708,643,653,066,543,513,463,
591,572,690,181,331,618,933,597,153,615,891,371,713,725,420,865,110,828,554,
738,337,727,236,498,606,269,410,950,807,480,138,229,676,665,725,099,708,317,
640,481,216,567,699,517,610,336,563,599,500,441,678,513,321,462,837,665,327,
214,649,226,178,431,489,667,412,684,544,199,426,246,740,908,199,834,160,680,
833,141,765,627,161,072,989,484,152,845,035,223,384,706,036,609,383,191,089,
804,452,584,477,975,665,897,077,481,996,045,772,162,806,291,930,720,362,624,
819,750,678,007,248,841,918,277,163,677,450,006,908,284,962,582,040,677,537,
567,954,378,144,794,090,727,098,104,374,447,734,613,478,797,814,662,316,651,
620,665,662,246,538,890,176,669,555,608,019,415,939,596,690,987,631,809,098,
115,694,976,718,094,456,840,970,508,874,071,399,796,128,585,298,023,930,078,
682,068,331,053,751,628,920,114,552,661,889,810,429,772,252,191,129,530,153,
898,877,345,401,208,128,422,708,085,836,058,466,353,559,017,171,416,039,319,
074,441,941,729,381,338,340,752,975,796,223,509,789,850,980,952,207,846,787,
537,700,060,346,068,913,169,322,117,050,509,607,427,309,055,395,588,954,941,
424,944,161,163,831,195,522,440,137,443,475,267,664,113,706,807,187,865,662,
767,931,057,054,466,240,980,578,923,524,000,883,867,011,724,788,604,068,810,
666,995,414,008,912,449,975,547,253,994,831,070,941,358,703,745,839,559,619,
994,325,556,042,086,685,742,957,577,148,168,923,966,360,991,063,098,419,304,
768,412,639,398,697,151,350,657,748,519,780,091,907,147,005,919,009,606,851,
352,359,648,443,074,195,916,080,444,573,457,683,526,600,219,252,186,189,043,
467,571,754,415,242,344,352,420,776,483,940,630,051,157,016,288,631,469,527,
508,667,094,382,453,000,697,462,207,739,421,495,449,018,525,620,708,030,747,
855,355,706,454,087,592,607,815,550,372,944,661,940,827,847,639,211,630,285,
122,154,405,893,338,503,433,151,434,145,710,424,784,547,064,517,036,253,040,
983,943,662,048,262,348,872,402,442,723,227,375,577,153,729,672,650,673,336,
231,459,339,075,212,243,135,149,982,019,212,065,376,375,649,848,187,846,542,
323,148,518,637,810,700,768,944,262,098,554,141,380,125,135,461,824,551,914,
614,213,621,225,711,096,823,360,415,060,161,871,658,216,149,098,449,224,721,
420,986,451,456,770,977,069,732,084,614,908,593,912,128,318,275,928,649,611,
991,411,593,609,424,539,774,057,515,103,342,761,245,200,905,863,638,491,389,
015,656,255,666,643,160,680,743,450,832,032,388,911,170,027,248,003,019,912,
432,325,376,326,623,720,259,071,794,661,576,403,869,306,981,074,918,243,353,
912,092,244,591,141,045,922,919,458,996,913,236,613,074,230,745,534,806,238,
282,676,943,574,220,741,105,233,658,081,741,809,720,863,252,223,098,418,201,
569,014,227,386,151,828,467,794,570,719,709,020,441,571,435,095,075,142,502,
392,219,360,268,260,380,772,256,459,314,743,782,204,955,584,165,447,159,925,
928,785,417,238,588,204,468,817,771,756,853,929,765,613,961,209,605,566,943,
359,476,025,359,513,388,081,606,567,855,232,369,162,335,574,290,741,815,883,
285,802,154,275,956,425,236,608,510,041,192,238,196,698,039,502,989,508,957,
231,732,225,419,172,525,932,217,483,222,115,872,038,130,024,278,087,560,619,
754,207,834,877,227,790,018,478,249,286,372,310,500,204,484,222,007,751,858,
295,402,948,623,856,014,446,333,526,244,536,396,534,100,292,222,957,988,242,
665,027,922,985,063,703,997,762,602,130,560,051,053,702,668,716,324,382,936,
823,251,397,815,424,639,466,808,587,440,705,700,150,147,928,000,316,556,562,
999,915,076,198,818,927,255,129,705,430,246,846,354,234,179,513,496,626,746,
501,317,914,049,030,640,233,108,183,010,640,958,220,148,550,430,417,140,980,
025,332,821,732,641,003,808,238,274,414,053,697,542,637,418,414,139,865,230,
303,223,617,935,907,182,527,108,594,702,865,795,739,075,524,647,938,702,737,
795,641,494,019,903,745,837,556,879,241,513,769,138,524,643,007,416,926,418,
552,391,396,417,188,095,219,952,254,221,740,406,660,010,880,370,063,671,846,
122,114,574,848,373,336,092,740,418,814,937,374,330,440,756,391,426,703,801,
506,192,808,157,263,911,653,803,901,502,299,525,075,738,850,233,208,234,553,
063,655,481,558,462,782,774,426,761,439,210,908,675,068,085,000,076,195,600,
157,196,497,399,965,746,831,665,667,543,903,858,154,142,376,135,676,712,060,
684,242,771,050,200,433,420,093,668,847,468,374,724,920,986,702,201,076,869,
816,237,368,553,831,293,392,604,882,491,786,888,638,569,052,780,836,458,226,
395,327,059,558,340,573,723,198,666,070,974,361,292,152,712,491,345,940,898,
379,496,359,950,983,580,943,936,228,944,321,154,392,658,641,622,332,329,962,
376,509,245,397,527,393,321,106,091,751,981,453,430,007,645,939,628,578,803,
777,583,925,082,872,440,060,657,263,239,818,750,260,839,996,912,712,110,273,
002,269,984,221,866,563,251,744,886,344,865,354,868,499,172,862,442,951,322,
215,409,679,753,786,036,525,738,801,136,574,888,128,158,604,828,565,247,237,
451,462,724,457,608,245,064,053,706,186,261,286,105,776,786,551,089,741,453,
675,863,138,276,284,739,609,714,160,910,009,211,637,444,835,173,444,142,486,
394,283,138,572,698,525,806,532,740,639,313,790,239,536,416,659,158,093,462,
959,260,967,138,615,911,588,753,487,067,881,994,692,331,923,902,951,548,212,
570,175,341,567,663,511,725,249,524,745,991,520,153,766,497,443,805,758,934,
838,988,374,080,605,718,185,397,829,351,359,246,519,586,515,531,247,971,341,
761,212,638,435,220,041,248,991,340,800,141,558,887,107,359,063,859,450,072,
094,987,764,573,016,171,273,310,889,911,620,774,303,469,931,242,121,949,368,
816,993,049,510,471,028,666,603,152,345,217,973,694,277,932,326,246,574,030,
481,091,119,828,617,880,211,005,980,541,446,814,232,701,600,432,100,709,160,
826,031,707,110,061,359,797,837,301,623,007,706,045,994,674,649,376,648,043,
326,239,345,176,359,350,582,448,231,854,612,644,029,838,057,842,561,969,360,
088,626,567,215,718,155,997,319,316,399,209,861,134,580,868,534,686,226,975,
148,731,851,087,205,350,210,169,722,156,548,814,732,882,271,209,360,486,558,
299,718,892,594,251,591,400,178,999,098,039,388,530,017,396,908,235,276,159,
641,474,700,165,359,281,686,174,010,214,787,896,195,907,237,616,214,058,665,
797,057,417,156,288,960,357,126,817,110,866,468,527,898,014,210,069,712,075,
639,772,935,845,766,855,862,614,965,446,350,413,257,014,164,465,525,769,738,
900,110,083,600,690,483,348,658,531,772,403,629,398,414,418,136,015,103,409,
450,498,837,957,303,839,898,405,942,899,148,155,601,350,048,767,987,259,803,
489,525,932,705,364,151,133,008,975,823,795,664,311,589,371,613,700,247,978,
477,060,984,416,791,306,065,966,676,224,870,668,995,570,346,968,108,640,180,
078,473,029,163,894,057,209,732,644,380,995,821,059,353,845,043,042,157,354,
170,036,563,416,534,065,857,761,426,908,800,772,274,281,287,025,044,481,102,
750,207,890,206,482,715,121,418,036,236,358,719,521,217,285,725,154,751,038,
227,521,202,353,442,255,692,734,764,330,020,173,329,009,579,595,201,348,365,
930,916,560,535,843,417,549,303,370,477,576,303,143,495,297,828,055,435,524,
394,717,718,268,403,101,018,022,448,137,339,174,288,224,364,166,745,154,383,
776,791,631,713,668,714,057,032,820,716,599,551,779,380,641,552,248,565,553,
495,878,160,329,924,664,556,293,929,799,561,122,605,662,613,326,620,470,222,
459,318,013,824,115,217,503,185,563,637,977,809,081,269,016,959,577,842,223,
338,107,645,522,223,973,756,755,892,746,737,314,763,865,382,379,039,200,435,
802,972,982,649,684,912,384,294,927,868,737,610,249,780,138,073,834,729,226,
255,961,078,796,129,621,700,955,464,569,403,910,936,148,843,417,896,567,784,
906,836,280,551,699,253,045,289,220,182,534,093,643,272,437,827,453,585,298,
754,861,608,773,639,333,504,188,180,037,532,562,799,536,285,717,364,474,070,
257,099,907,629,612,084,542,510,006,894,814,651,628,407,760,797,906,612,462,
193,293,162,854,391,045,430,407,369,737,963,195,196,241,447,478,581,543,248,
345,655,784,746,928,029,089,926,857,652,338,755,694,334,892,199,534,431,559,
791,936,370,478,762,343,601,753,849,673,835,109,203,313,856,296,407,794,601,
494,187,759,627,040,698,588,848,208,093,504,684,921,338,975,818,889,045,705,
713,993,731,283,973,236,576,663,084,147,445,541,485,816,183,763,046,519,345,
135,148,662,229,383,449,784,422,102,792,444,937,117,827,387,469,653,534,814,
227,874,675,683,617,638,385,946,284,329,776,780,689,739,668,287,019,623,217,
946,296,253,476,051,144,171,313,910,344,457,076,795,089,635,034,698,031,090,
350,575,958,628,508,055,487,565,325,666,493,834,700,958,809,258,869,021,696,
524,183,695,051,229,280,930,305,046,553,433,406,028,750,835,917,423,128,412,
869,465,278,781,695,999,915,827,611,474,739,517,562,306,500,131,138,102,447,
112,231,135,066,204,522,960,719,576,007,291,818,660,234,991,346,679,469,462,
190,432,532,487,374,158,618,021,563,881,239,659,760,606,045,958,657,548,940,
265,904,360,129,156,589,941,242,747,897,653,877,579,748,376,598,450,491,915,
808,410,635,461,742,857,164,778,049,530,029,924,992,407,282,102,370,883,855,
584,337,976,628,912,375,608,738,650,886,544,474,865,539,929,011,172,484,758,
103,183,674,475,755,602,292,659,852,095,846,820,946,329,914,502,376,119,320,
777,256,057,924,001,903,258,340,797,396,917,837,995,152,938,783,610,657,511,
344,177,886,830,100,502,684,162,296,889,322,565,347,671,873,543,220,479,897,
317,337,471,204,654,976,275,004,258,697,971,580,767,351,991,074,971,500,526,
468,824,373,287,166,516,050,404,105,715,571,445,069,523,731,857,615,879,388,
941,717,578,102,650,406,773,865,623,035,476,433,292,010,588,665,609,740,054,
472,525,662,391,489,157,618,106,093,682,331,597,761,984,722,272,407,668,198,
157,166,318,132,429,148,924,795,583,231,969,393,779,877,778,447,666,834,895,
185,575,116,541,525,785,354,702,198,190,198,740,294,955,619,421,121,778,960,
943,503,106,193,232,904,963,664,309,323,858,806,204,305,764,394,278,836,904,
044,094,919,985,176,145,835,565,376,106,166,772,557,578,347,151,520,900,054,
271,850,788,079,278,830,890,960,592,924,748,846,559,674,090,871,254,514,208,
255,925,368,313,798,136,098,437,762,230,686,315,273,698,360,212,594,606,186,
996,232,351,865,456,457,324,659,857,017,374,563,467,746,922,327,084,192,920,
106,325,722,454,696,071,897,399,442,933,923,054,407,446,054,297,281,058,039,
518,548,886,393,466,360,494,102,762,698,576,908,700,942,608,925,882,192,059,
452,781,241,447,022,747,811,053,954,159,152,959,953,453,992,669,251,763,700,
040,044,583,949,143,624,913,207,231,952,902,844,888,116,008,992,289,022,387,
434,751,932,561,339,652,926,899,649,834,419,549,268,132,604,135,846,137,439,
698,925,680,418,947,587,950,512,043,911,239,966,339,527,653,132,162,369,597,
636,971,985,270,752,149,033,843,718,784,681,077,422,964,209,551,907,620,972,
226,142,683,532,624,237,121,148,318,506,345,445,515,776,191,724,491,047,972,
965,704,757,673,077,820,556,462,525,494,905,114,748,059,451,713,137,728,845,
809,689,925,905,711,752,484,525,204,953,277,431,554,972,460,292,795,155,896,
704,671,216,618,717,051,576,298,843,656,600,838,178,319,733,490,021,492,985,
181,863,626,507,051,757,769,539,575,300,251,828,549,188,238,151,215,482,762,
729,086,668,706,825,496,485,051,113,669,970,093,077,644,357,405,192,403,628,
156,729,293,201,943,211,114,864,504,007,760,377,176,848,559,537,521,939,342,
079,592,936,230,288,855,687,439,889,507,498,197,754,262,036,227,779,330,895,
351,451,236,433,202,861,081,083,088,887,030,986,305,305,295,565,417,755,164,
650,580,608,249,851,370,575,880,779,075,234,327,449,000,610,836,563,857,389,
552,430,565,167,370,926,208,899,631,995,215,777,277,247,930,867,678,042,628,
344,906,195,422,326,560,483,566,603,927,838,239,257,690,878,095,052,582,702,
363,278,532,836,849,523,029,179,422,847,523,672,037,550,910,158,163,944,121,
182,998,494,100,776,729,734,299,365,538,141,551,588,377,923,296,923,458,858,
504,996,989,202,680,955,299,317,097,894,540,851,911,263,997,706,921,074,576,
573,598,435,019,043,068,166,274,787,031,193,549,624,866,629,706,963,461,939,
832,338,405,662,185,669,461,468,536,590,576,413,873,580,335,318,628,515,485,
795,599,237,072,691,034,114,908,409,326,235,277,213,779,633,675,632,338,275,
865,143,707,214,345,294,014,224,223,755,767,646,447,346,214,490,167,675,920,
447,854,682,946,156,893,435,716,139,408,168,856,217,851,673,242,779,469,514,
141,251,446,587,415,952,698,371,957,494,473,707,517,852,853,339,959,494,999,
982,062,416,900,279,305,682,757,254,945,863,410,865,665,104,866,166,357,506,
171,462,376,845,322,175,365,014,075,766,638,342,296,656,390,117,836,923,566,
104,516,364,102,109,995,507,138,392,552,145,824,822,927,824,291,146,678,923,
832,928,438,747,109,954,965,625,750,959,604,168,680,314,932,232,731,689,818,
395,412,325,491,603,469,178,839,191,116,453,324,374,109,732,773,444,370,635,
827,210,144,668,981,695,079,579,741,631,983,986,654,759,169,171,299,586,160,
238,860,016,543,437,256,390,325,468,746,710,713,646,995,077,908,277,452,393,
402,296,591,145,107,205,461,138,248,022,521,013,812,812,443,682,157,818,442,
156,226,899,097,086,446,643,939,277,861,557,665,523,245,709,049,397,793,476,
413,532,406,350,848,981,598,016,754,787,930,860,315,077,584,301,890,982,638,
599,839,199,671,187,328,776,870,378,014,950,405,390,378,948,168,727,844,237,
953,745,970,430,245,981,113,201,453,912,989,279,578,717,381,177,716,054,181,
375,904,176,192,660,720,435,021,714,328,343,343,858,667,803,469,177,550,726,
770,574,082,572,820,057,364,994,073,174,594,676,450,864,264,003,069,496,145,
179,344,568,543,430,478,407,115,451,213,170,307,789,516,218,444,141,250,903,
877,769,034,952,893,065,493,397,763,623,310,634,686,182,911,596,493,945,514,
434,542,396,098,788,223,604,301,297,929,843,182,204,895,917,884,273,019,266,
914,780,755,108,198,805,219,287,091,609,826,864,136,314,968,051,447,872,355,
868,069,186,439,650,802,686,688,015,729,499,197,210,723,279,262,632,208,846,
173,893,004,141,896,312,711,447,749,784,290,811,019,778,189,850,209,148,447,
614,543,358,407,865,882,398,391,666,127,100,154,606,242,776,386,193,892,821,
305,047,473,590,031,831,519,249,040,592,668,951,528,451,682,935,066,329,516,
828,007,778,905,494,178,304,235,520,937,823,193,147,060,488,181,674,539,493,
024,035,250,268,189,682,425,277,600,006,585,757,404,730,825,722,322,668,281,
899,656,110,145,571,843,840,023,763,711,587,478,679,165,124,903,323,874,612,
783,690,645,127,960,112,662,320,501,612,246,828,718,022,371,713,871,873,841,
443,351,906,974,117,978,391,377,187,112,915,452,386,299,800,468,806,054,019,
247,589,313,141,283,363,430,497,965,848,857,347,412,707,684,367,808,390,975,
639,571,060,565,908,414,017,247,808,279,046,025,235,688,476,875,309,698,607,
700,199,696,028,229,819,707,556,641,668,877,071,661,078,790,422,515,259,049,
417,182,658,392,587,611,453,339,582,155,153,237,138,805,988,967,939,750,420,
620,353,506,638,064,965,292,238,122,927,439,391,098,209,564,592,428,239,664,
619,977,302,165,865,837,214,187,178,142,145,313,090,595,280,675,433,788,526,
951,407,887,549,367,229,456,769,233,675,081,171,630,676,927,108,727,179,921,
702,635,775,264,941,130,585,522,561,584,862,503,673,601,724,975,480,182,946,
073,207,839,131,271,864,195,208,312,691,068,791,566,899,365,887,531,978,456,
204,966,156,159,291,225,327,293,479,588,718,330,850,846,821,289,263,634,147,
593,166,735,665,724,417,046,010,258,791,328,071,315,500,776,434,327,503,513,
487,253,869,447,828,190,810,623,523,496,131,330,201,239,586,533,317,031,792,
131,717,481,926,000,408,981,809,690,259,493,021,907,201,425,846,514,873,406,
299,927,287,383,855,339,070,000,650,340,493,575,214,097,718,713,960,070,825,
534,148,184,735,913,342,535,170,232,871,145,267,185,583,789,395,529,883,485,
198,540,346,633,275,838,157,379,512,774,663,382,561,737,573,522,355,678,803,
374,783,967,787,905,703,962,277,972,035,246,701,148,851,537,591,228,270,512,
364,777,260,575,310,983,661,059,556,388,494,596,418,952,836,711,436,891,393,
131,888,756,425,943,446,144,149,681,020,603,975,646,042,342,975,239,119,765,
333,425,392,520,936,213,541,153,387,338,184,063,684,708,688,309,767,679,341,
502,734,527,848,679,676,325,103,391,783,201,869,102,328,400,517,524,726,752,
858,332,556,468,654,980,117,353,125,476,359,780,153,224,045,488,321,594,187,
110,677,644,791,867,006,103,714,446,904,661,182,287,047,727,242,858,562,511,
533,934,615,450,978,718,430,691,579,967,053,120,121,672,704,565,277,182,255,
806,643,861,756,426,750,150,765,700,761,119,434,741,639,767,915,198,677,279,
105,699,931,228,360,533,969,542,440,436,677,268,127,174,374,290,418,300,141,
662,534,794,652,645,467,581,626,792,603,589,132,808,085,356,540,547,320,264,
409,038,917,245,939,270,629,852,053,238,698,556,089,282,019,462,281,198,209,
368,233,502,130,148,092,005,672,694,866,222,040,336,689,154,160,148,931,903,
263,934,691,331,631,739,712,808,380,481,013,313,614,698,743,440,154,015,632,
658,884,867,557,786,897,771,532,658,158,072,337,914,174,194,292,625,569,443,
064,541,656,957,676,742,255,791,622,695,398,922,708,699,411,947,976,914,324,
381,791,007,187,780,134,741,675,150,370,816,131,568,456,261,596,369,104,091,
390,578,493,203,633,722,400,459,867,925,053,362,288,854,628,260,836,758,518,
438,947,678,450,595,935,279,496,682,672,795,492,787,527,705,582,276,336,912,
465,401,501,513,629,894,434,457,085,760,699,610,933,147,291,662,895,144,349,
713,539,974,301,181,616,789,623,096,236,527,899,878,618,478,762,276,766,238,
652,032,470,783,924,407,427,377,247,682,508,032,072,802,875,704,127,867,730,
336,501,863,403,675,469,477,578,720,715,790,410,825,965,432,506,660,699,729,
400,168,329,023,149,762,786,074,969,876,598,137,251,909,984,647,868,958,486,
734,392,378,890,288,177,548,906,236,064,467,110,330,249,953,548,945,366,557,
105,694,110,326,512,910,256,196,613,094,381,765,360,675,014,814,123,498,986,
127,787,094,707,788,652,074,977,664,056,475,958,388,571,235,773,281,790,808,
896,366,487,121,937,629,038,094,306,457,164,697,729,165,136,413,769,606,352,
826,378,880,152,765,204,999,292,281,508,603,159,026,747,377,569,303,704,466,
946,476,176,021,533,977,069,621,019,276,884,429,737,007,443,658,519,400,177,
830,479,511,330,204,654,824,433,808,709,501,532,814,746,106,281,732,110,088,
580,840,057,799,340,545,682,884,309,062,251,803,927,204,691,503,515,307,987,
067,910,150,828,067,723,764,215,324,843,159,912,553,872,143,207,689,500,026,
775,390,690,682,333,471,969,121,001,561,870,414,333,822,325,957,291,700,969,
409,636,918,459,448,014,267,075,457,373,306,115,911,546,751,660,438,323,719,
254,863,765,471,058,545,002,881,354,122,448,774,770,583,442,401,245,487,815,
610,872,522,457,935,771,185,307,573,251,967,207,517,719,421,722,893,615,847,
016,799,664,625,630,388,088,536,486,930,270,587,251,456,673,817,239,792,114,
293,931,526,942,646,496,515,392,913,112,071,035,651,937,375,414,286,178,233,
659,180,764,832,025,483,400,712,766,740,964,791,070,238,428,219,891,917,188,
854,740,358,121,437,484,866,947,371,445,164,537,505,107,989,165,005,930,118,
191,746,512,401,129,146,731,994,146,267,694,244,903,143,031,014,475,660,088,
895,487,680,367,721,428,355,630,018,324,549,414,608,023,228,816,286,763,202,
734,660,315,935,660,722,004,105,092,081,966,192,108,518,735,307,712,743,413,
796,563,557,783,778,713,329,116,703,223,862,689,966,897,376,659,685,293,961,
675,387,659,668,167,984,649,318,638,953,872,208,487,982,891,289,903,183,831,
854,838,892,130,531,970,315,757,940,034,092,645,410,745,743,876,878,999,289,
820,309,293,175,320,752,598,051,897,032,705,806,286,982,003,864,152,599,112,
344,513,624,926,830,721,126,535,267,640,981,690,093,898,217,260,179,144,009,
051,757,593,177,387,078,690,244,723,160,896,939,229,228,061,103,016,497,237,
846,095,318,883,770,640,255,396,800,719,100,188,450,013,985,131,281,267,343,
071,237,780,106,290,980,687,907,774,105,275,042,492,073,713,366,650,429,918,
966,258,113,001,321,831,280,104,494,726,128,936,012,672,795,181,029,197,861,
513,137,911,301,623,678,451,683,338,827,362,552,226,958,083,566,216,873,798,
883,522,927,725,438,550,636,834,228,215,057,122,417,716,174,089,455,643,309,
327,084,113,953,582,268,305,226,743,990,218,743,508,582,782,996,791,114,891,
629,240,109,088,707,538,065,516,956,134,309,163,349,034,041,174,092,597,288,
887,078,714,323,677,051,983,241,155,854,857,180,428,335,954,501,917,118,239,
515,186,244,331,517,690,174,226,831,016,356,011,690,436,535,333,459,869,193,
642,002,920,722,987,409,765,150,226,011,379,909,837,999,967,392,528,660,564,
430,785,824,619,225,857,652,478,641,867,344,673,443,171,595,255,977,018,485,
864,735,061,907,742,437,247,287,369,365,614,959,927,242,917,609,081,829,406,
296,386,559,472,366,230,657,799,057,667,692,261,015,273,692,991,325,401,119,
749,589,603,894,001,846,359,635,063,083,259,815,928,944,398,661,521,750,091,
655,080,980,089,367,012,335,135,257,637,851,771,558,220,540,996,157,484,706,
567,893,879,251,277,784,531,262,538,490,504,056,221,938,725,497,899,300,769,
169,015,527,388,714,992,825,820,655,054,013,872,401,869,452,673,016,682,484,
016,052,983,823,056,620,729,340,339,481,523,515,715,970,919,365,512,193,559,
921,898,254,375,760,736,251,496,381,054,346,928,374,646,071,694,893,097,107,
141,699,483,220,487,916,028,590,917,917,295,661,026,138,772,181,030,435,842,
872,377,694,271,340,821,399,775,996,088,161,372,846,716,306,121,925,042,967,
755,741,228,719,869,697,503,729,646,759,328,931,987,869,130,429,472,717,266,
650,361,183,604,005,903,964,517,238,823,821,943,551,300,481,524,131,991,591,
595,287,352,338,265,792,884,045,463,221,264,625,491,497,297,726,775,487,972,
698,752,399,239,193,286,779,327,130,403,097,394,504,083,030,093,959,983,245,
518,425,432,738,027,253,693,108,739,081,505,542,652,504,408,167,827,603,345,
551,941,644,729,018,659,163,872,279,352,502,653,595,775,880,017,718,399,124,
188,982,366,611,714,549,589,978,136,711,211,767,032,943,783,548,818,434,026,
001,963,306,356,886,350,347,703,374,797,784,051,395,442,752,368,173,813,726,
044,967,758,819,884,670,752,649,251,274,977,648,965,101,787,473,551,022,558,
822,937,009,531,347,512,529,235,585,858,443,689,617,322,111,658,002,870,822,
436,886,352,172,542,180,489,741,411,757,957,375,664,766,974,765,654,953,836,
979,174,358,993,846,524,569,494,444,777,511,395,351,389,083,036,010,717,059,
177,696,028,770,218,847,622,344,916,882,899,395,713,255,042,512,915,479,976,
666,208,735,134,414,927,467,191,359,557,184,007,182,028,530,881,428,080,583,
518,431,389,555,848,598,544,484,072,721,353,920,317,656,756,907,799,488,064,
494,105,048,838,340,791,266,198,987,098,457,289,940,707,451,708,769,256,149,
368,337,831,062,228,930,938,518,485,994,424,951,553,627,731,926,554,436,464,
738,084,832,719,089,075,837,662,373,084,721,088,489,411,432,874,714,245,310,
889,725,776,845,778,283,723,231,859,390,805,715,616,177,026,298,506,206,707,
754,278,871,424,590,330,022,766,485,770,090,685,021,905,244,372,851,040,528,
127,361,696,021,026,543,701,120,036,555,603,250,511,399,325,455,540,858,997,
478,871,487,513,696,230,451,645,664,186,569,763,176,574,825,534,129,493,196,
196,714,036,624,265,772,842,582,275,328,828,073,346,915,636,727,715,711,521,
468,476,090,676,611,167,860,781,044,097,785,171,326,908,360,111,467,014,775,
310,085,440,105,834,406,961,047,491,546,794,621,896,885,177,361,247,374,198,
065,362,078,237,591,994,650,438,902,407,220,478,437,198,317,442,892,611,825,
521,998,247,783,029,585,028,028,600,032,649,954,654,562,707,823,351,073,922,
265,525,562,763,452,933,357,313,223,070,763,596,589,304,191,369,311,900,404,
020,278,512,838,297,870,872,760,353,891,697,555,825,340,319,496,829,433,602,
165,673,510,264,443,156,987,451,266,308,303,212,383,328,045,289,778,621,674,
074,913,667,201,703,874,301,680,237,352,259,746,281,887,143,549,520,680,398,
695,356,451,338,080,793,215,133,695,723,383,779,064,248,090,163,809,502,421,
392,358,427,099,387,194,016,544,380,267,339,719,636,225,104,035,155,862,485,
614,618,509,968,961,751,099,123,522,566,253,307,600,028,117,392,252,698,829,
755,859,145,150,521,644,836,740,460,322,875,023,396,015,328,860,380,095,962,
027,841,103,383,395,935,298,157,332,747,464,551,120,288,567,805,809,763,783,
210,948,054,946,063,492,145,856,580,888,249,490,593,816,624,516,841,346,068,
319,900,827,651,546,766,156,171,283,015,275,059,082,080,522,156,629,482,940,
073,145,872,254,239,313,218,502,145,567,790,696,175,842,451,880,146,175,771,
294,855,797,889,649,911,450,449,579,142,647,459,505,797,107,468,902,764,435,
899,681,532,540,434,851,276,695,091,578,472,735,267,330,084,328,960,526,061,
401,481,163,410,064,285,166,129,147,860,017,378,993,283,087,772,662,723,402,
045,241,434,701,373,264,925,551,689,511,502,511,492,068,628,409,488,630,492,
885,132,402,492,923,718,483,258,374,208,453,964,969,985,818,919,764,018,191,
907,220,786,519,720,865,097,967,903,623,876,058,813,109,830,873,127,850,702,
301,505,291,666,335,499,395,423,691,547,807,980,092,645,011,626,988,464,043,
402,701,653,456,946,838,336,309,756,189,784,823,914,657,019,546,930,965,195,
103,136,937,576,606,531,264,297,307,890,903,655,450,315,219,901,874,042,026,
192,079,251,889,797,650,075,951,721,930,594,383,814,640,206,712,718,737,084,
442,033,237,887,592,099,189,624,923,416,679,296,614,943,287,762,168,050,971,
659,827,770,469,454,482,658,949,043,430,443,157,959,168,085,558,377,563,704,
860,471,603,108,310,958,124,727,143,574,860,993,391,624,773,947,654,210,788,
193,000,464,355,513,766,365,924,599,525,360,715,261,925,053,180,368,596,734,
488,912,897,611,812,851,447,378,906,084,424,424,246,144,540,044,801,823,084,
360,481,085,720,321,685,574,615,657,840,230,557,738,853,213,369,420,229,649,
399,373,978,179,275,898,881,611,895,804,035,550,056,714,193,845,784,331,672,
830,930,060,784,756,981,437,699,314,951,027,195,165,234,361,585,476,421,597,
779,733,724,563,055,300,137,116,429,665,690,070,281,506,492,247,565,001,513,
930,048,880,446,271,086,682,711,252,925,462,864,868,696,526,195,578,710,565,
589,743,178,904,485,691,956,512,708,074,558,601,995,142,996,311,590,897,940,
722,973,433,384,987,598,546,034,776,487,679,961,352,309,749,068,054,430,142,
074,884,202,451,880,074,053,689,610,351,262,401,998,392,811,433,732,560,533,
165,404,619,701,545,756,709,459,092,429,174,205,856,026,341,893,267,838,728,
408,280,380,937,098,597,394,516,251,988,007,144,892,143,832,220,209,134,890,
822,430,554,824,517,218,336,313,843,827,742,677,003,126,505,018,244,847,946,
696,044,303,917,524,730,850,144,792,594,750,108,439,380,535,000,430,073,080,
038,432,990,611,194,905,131,621,592,513,707,238,605,016,222,038,608,132,662,
762,179,622,632,669,737,763,902,799,555,938,629,043,246,678,139,064,438,095,
691,783,434,287,635,269,703,340,926,203,924,653,444,597,868,504,437,752,408,
924,317,066,446,520,223,503,381,418,413,462,883,238,045,573,765,699,605,739,
040,950,858,137,543,582,020,333,854,747,215,847,213,877,262,905,356,057,163,
126,536,266,364,576,312,934,999,055,587,723,146,508,466,884,888,069,687,026,
931,392,855,111,852,453,829,879,655,832,004,158,424,252,145,973,650,229,852,
650,896,829,948,538,188,452,928,068,453,248,991,351,906,378,146,109,163,295,
325,883,654,540,454,765,574,920,163,425,657,617,310,201,580,891,486,896,438,
367,529,548,417,019,615,005,720,492,278,343,071,317,232,376,310,581,201,600,
789,556,803,734,673,836,976,162,705,615,505,768,184,607,619,393,269,565,572,
653,281,752,250,123,621,578,082,568,286,825,379,069,281,194,464,680,534,681,
926,067,077,934,444,344,804,468,308,233,854,141,650,858,698,060,501,787,330,
545,657,989,677,194,848,364,957,605,064,614,736,471,427,439,821,193,961,030,
263,818,172,072,209,074,802,842,353,073,700,685,202,330,841,882,716,269,115,
001,667,794,822,777,433,527,543,633,490,749,649,624,041,319,391,725,678,587,
556,984,114,693,986,660,260,648,890,063,231,670,121,725,044,532,332,160,945,
173,493,745,829,319,092,781,937,949,822,526,139,094,076,251,377,500,957,793,
177,601,667,765,937,078,291,741,582,436,424,175,561,538,558,014,827,993,104,
645,211,408,107,025,379,470,381,649,123,441,685,267,146,191,180,201,559,688,
332,390,070,925,979,789,817,736,059,488,051,633,095,891,468,428,542,062,019,
118,959,240,161,703,772,725,611,637,348,344,038,936,784,184,385,290,571,753,
736,852,676,044,871,289,371,525,973,411,149,303,720,626,489,230,392,478,648,
826,321,920,909,702,660,464,840,293,683,899,752,405,191,860,835,605,030,850,
630,564,504,831,289,805,798,354,228,113,677,340,961,989,536,310,816,210,028,
473,420,769,538,206,224,410,756,312,034,457,036,747,585,676,221,484,524,571,
576,968,924,343,769,216,534,638,797,289,111,961,522,386,579,957,157,672,557,
684,410,820,692,212,402,092,333,097,863,640,028,426,346,426,843,131,764,881,
134,223,141,087,664,756,202,740,194,382,717,667,948,679,901,267,725,944,098,
820,407,875,242,942,286,062,893,219,015,996,741,960,916,206,677,308,844,352,
575,803,999,905,440,555,640,596,387,104,857,039,703,973,093,953,824,059,657,
901,914,986,170,636,556,269,831,783,672,276,457,912,581,956,476,687,221,517,
676,130,832,788,931,757,937,257,047,849,508,240,393,123,272,346,179,411,068,
409,631,155,066,186,029,217,477,863,595,847,030,271,883,543,166,310,424,940,
263,340,615,565,072,351,263,518,818,030,879,214,751,160,026,444,159,338,161,
463,774,007,038,221,662,964,219,620,474,240,206,961,306,544,155,651,877,235,
003,542,296,906,721,796,679,877,256,504,683,815,113,998,444,678,034,279,586,
175,314,690,135,864,216,702,745,593,030,914,421,614,215,836,894,886,042,127,
693,337,335,755,402,285,012,732,698,808,939,350,294,165,379,406,291,321,646,
513,994,458,424,156,025,583,835,916,977,896,768,327,817,033,472,405,540,317,
326,733,002,102,105,624,128,346,939,067,052,097,778,617,085,787,458,515,495,
288,790,195,156,342,171,655,753,673,051,491,454,087,214,644,084,509,277,668,
589,256,399,743,042,830,893,073,370,118,444,429,143,524,082,703,836,064,810,
384,669,846,718,616,946,742,161,371,508,047,815,086,433,620,808,181,943,561,
335,478,900,885,015,393,086,140,713,328,531,181,792,466,635,402,676,144,096,
344,240,100,630,299,128,419,330,216,739,853,120,461,231,434,114,746,554,265,
063,364,743,857,691,947,538,636,257,142,646,236,140,145,011,818,078,025,089,
867,217,202,614,633,761,334,232,960,833,823,334,845,948,150,562,287,110,841,
193,637,210,538,929,378,934,600,537,352,812,502,605,662,209,216,831,800,058,
087,192,919,336,401,912,921,751,543,964,070,005,340,480,237,288,226,470,239,
193,063,571,165,612,450,117,384,012,810,035,472,019,427,138,695,187,957,902,
807,597,763,475,388,943,019,791,422,953,866,694,421,101,782,922,009,630,884,
900,051,411,028,065,771,303,361,011,267,395,446,065,768,716,241,749,337,093,
251,358,845,869,144,111,399,156,002,398,999,173,404,318,421,053,608,681,670,
492,398,061,047,889,650,946,657,489,129,637,062,472,267,972,878,878,353,252,
568,435,214,068,343,491,816,685,961,251,684,320,277,598,105,023,210,130,147,
192,466,737,786,603,675,981,253,405,395,600,022,442,822,461,876,561,123,943,
900,860,662,884,978,569,381,581,109,798,676,679,262,567,490,536,997,240,756,
400,461,345,268,067,052,984,233,757,601,096,176,811,937,180,903,098,195,572,
841,020,115,701,544,516,576,090,500,957,113,655,763,711,040,994,893,450,150,
913,654,290,924,517,830,622,020,057,662,808,062,418,416,243,005,019,741,423,
607,956,922,255,525,659,982,581,201,719,661,496,780,374,380,309,953,399,186,
655,552,631,491,977,644,524,250,112,544,135,824,158,619,474,589,003,656,729,
274,129,993,169,437,776,730,254,209,902,468,396,034,711,318,154,291,313,685,
572,910,948,640,794,871,807,234,307,937,478,618,290,639,519,424,680,837,205,
521,667,784,231,694,699,071,947,372,949,811,429,163,598,415,423,284,154,280,
026,222,069,236,438,615,068,037,318,752,955,579,212,763,387,275,112,785,415,
734,230,538,933,166,319,845,440,324,481,372,327,299,267,351,601,207,070,831,
181,116,284,627,349,386,703,812,948,580,081,391,086,223,073,160,791,431,511,
698,466,725,678,043,136,717,533,632,189,618,913,452,346,358,560,734,395,418,
658,960,501,029,360,562,298,024,628,687,861,426,648,634,585,562,424,219,876,
905,972,739,413,176,517,596,952,790,099,442,669,257,724,419,532,874,753,648,
562,584,743,676,721,190,277,231,740,303,516,654,627,832,997,484,382,445,447,
896,598,436,583,038,499,230,466,704,585,438,946,563,301,721,898,950,141,070,
114,349,089,517,937,484,021,712,274,733,732,645,357,598,803,622,615,401,915,
023,151,742,840,755,368,966,527,217,255,198,987,893,116,508,288,070,105,641,
505,235,781,145,399,961,391,383,784,942,161,920,429,776,154,041,609,217,744,
674,827,212,611,956,670,666,654,789,275,861,179,182,551,423,796,417,473,629,
741,367,829,649,831,338,143,945,179,745,957,595,903,088,231,048,975,361,364,
955,924,025,317,186,216,919,101,649,820,387,717,575,524,862,676,224,892,034,
328,851,019,162,899,776,471,988,781,263,253,425,959,193,676,692,557,133,096,
289,943,477,060,250,497,840,763,427,422,947,091,356,619,092,779,284,457,699,
070,892,714,028,082,952,311,513,076,790,686,087,060,560,545,897,164,387,083,
341,395,331,457,285,075,678,613,238,497,001,456,392,083,766,090,672,758,066,
200,286,574,785,163,236,234,043,546,947,362,838,732,376,667,816,152,029,995,
197,543,994,216,162,673,758,435,098,705,561,989,259,605,146,696,719,478,756,
087,140,271,817,822,210,023,398,752,227,712,479,607,325,406,255,504,970,341,
731,932,352,927,371,748,717,252,714,285,800,872,504,570,190,058,519,846,427,
760,656,153,753,166,224,003,904,369,692,754,544,743,158,896,823,957,612,107,
356,754,040,757,130,713,143,048,238,412,512,396,378,156,835,761,396,806,209,
703,838,754,282,552,175,184,160,512,601,405,392,475,933,713,890,786,798,720,
733,506,799,512,521,017,212,670,925,252,874,437,822,684,789,519,936,609,817,
403,089,272,003,504,846,962,187,401,115,749,270,736,145,639,545,742,357,810,
201,111,095,046,283,814,119,633,132,381,194,727,532,475,653,585,937,038,494,
740,200,968,630,334,345,221,608,943,490,394,075,522,827,492,134,115,810,813,
495,959,145,062,528,736,820,778,314,115,900,806,943,118,889,610,887,600,222,
998,157,084,297,476,525,193,701,475,374,623,856,553,114,270,467,491,605,877,
303,447,296,902,729,552,982,311,991,733,635,586,402,456,362,921,616,629,313,
164,457,259,060,242,771,349,964,694,494,550,069,235,630,110,168,807,030,588,
064,354,462,803,592,712,861,014,092,538,794,862,153,447,410,342,726,929,378,
681,739,855,376,092,986,220,418,349,869,268,343,945,454,923,685,757,851,200,
699,141,783,304,942,986,395,092,748,103,338,646,356,790,733,209,473,274,684,
328,157,403,742,169,891,605,272,702,043,370,057,691,101,365,493,182,292,955,
730,216,720,987,808,365,575,240,212,823,771,958,429,298,092,906,325,025,183,
021,322,622,101,290,532,510,146,004,972,109,368,162,539,595,899,375,914,745,
289,623,686,646,144,896,732,965,061,444,888,706,987,807,640,833,102,568,799,
721,199,831,413,424,776,271,297,272,576,988,557,460,684,936,276,502,339,447,
008,978,687,500,261,100,973,392,504,115,004,690,040,561,925,148,174,993,343,
603,146,548,745,533,849,926,635,328,795,457,413,463,522,651,808,879,524,511,
771,084,995,798,303,607,141,417,237,561,686,399,979,105,577,484,041,185,451,
318,424,091,924,910,481,766,574,940,613,849,271,104,701,825,325,357,202,592,
300,747,547,912,052,125,314,949,081,585,531,650,731,218,525,707,087,326,481,
560,593,554,012,597,112,169,575,960,606,717,412,092,554,580,877,036,183,799,
771,374,986,403,633,913,665,942,647,973,704,378,414,578,727,786,173,031,902,
288,229,806,837,483,578,359,198,750,270,003,380,889,172,273,517,081,780,478,
957,797,000,991,898,921,713,585,583,951,761,659,723,718,422,211,209,178,793,
449,768,332,268,828,308,615,614,102,003,223,064,140,624,654,340,941,764,837,
277,811,483,522,171,113,976,541,127,224,185,821,944,704,280,969,315,209,659,
906,607,529,370,976,636,333,704,224,884,210,558,251,682,303,027,363,539,182,
093,152,457,208,120,136,907,038,007,914,262,041,248,883,408,170,137,953,678,
504,600,090,949,405,641,637,216,021,615,920,836,120,969,343,368,980,111,346,
278,586,854,779,309,911,323,968,702,184,787,686,523,091,155,283,790,306,106,
836,741,150,721,567,693,663,879,174,101,928,889,793,741,839,644,672,608,116,
386,241,363,116,995,959,847,856,309,863,211,003,658,728,655,450,487,494,913,
461,294,460,571,000,181,048,544,357,446,129,199,586,953,508,694,127,842,327,
052,293,210,031,320,974,148,983,653,882,558,551,229,931,214,352,912,781,066,
651,302,754,398,699,013,332,486,166,569,333,649,959,242,467,623,698,470,521,
047,684,457,120,863,076,985,962,565,644,547,000,044,823,768,168,499,706,725,
892,531,776,888,134,898,281,859,025,311,092,364,388,296,993,833,378,375,811,
913,621,543,394,573,388,170,527,895,494,475,123,247,283,689,893,639,388,107,
110,036,649,988,562,147,943,005,236,607,718,804,898,153,694,341,360,322,427,
596,684,605,060,138,370,222,058,728,032,871,178,780,554,285,724,900,721,834,
474,927,969,827,102,041,578,073,265,873,584,321,917,502,078,405,882,642,727,
160,486,854,707,434,829,954,825,299,686,404,263,741,167,350,219,034,683,591,
498,659,002,379,476,431,627,285,434,476,302,136,397,198,130,024,008,217,279,
301,866,815,433,361,174,571,507,238,747,251,797,891,826,242,611,656,085,680,
037,255,879,236,442,154,145,593,068,835,790,628,982,901,631,314,133,171,486,
193,229,100,151,161,465,239,000,475,370,272,137,793,028,187,255,612,313,790,
657,517,077,515,873,205,669,211,190,680,322,570,403,640,694,403,539,845,363,
011,971,834,969,360,430,882,972,484,863,447,091,521,226,667,860,968,884,768,
197,403,880,476,827,149,386,939,469,089,988,379,087,165,805,706,686,048,098,
944,670,208,756,234,531,605,950,356,724,058,439,671,786,775,237,981,459,666,
641,792,549,735,803,554,245,386,312,905,652,197,082,763,107,970,758,544,812,
482,113,560,700,347,620,586,142,104,672,406,175,568,996,118,351,547,284,902,
713,707,119,619,776,481,566,231,463,335,802,570,578,092,635,668,836,348,607,
030,316,230,654,468,175,006,760,823,050,789,184,685,631,793,942,392,337,112,
035,788,439,726,722,180,079,073,698,454,590,813,630,385,020,059,421,385,237,
789,132,380,261,251,056,489,569,577,288,813,393,418,364,632,191,230,832,346,
721,514,744,081,833,071,267,895,124,528,736,984,035,274,506,435,448,500,505,
495,624,893,864,940,071,286,543,055,529,011,930,811,217,541,255,095,667,942,
716,660,294,827,883,271,727,346,608,780,589,526,778,457,746,921,584,008,592,
275,129,918,559,731,666,056,319,536,353,803,459,304,414,173,056,583,435,808,
429,747,278,176,774,511,444,717,677,987,125,011,931,824,553,390,680,835,619,
407,468,177,590,400,304,552,387,185,208,027,510,244,991,028,661,046,487,140,
354,711,831,471,700,927,584,172,855,633,738,010,738,058,808,236,231,465,647,
227,287,016,253,991,104,844,709,724,503,100,079,123,344,081,448,002,262,798,
781,920,684,140,194,581,923,876,975,903,980,176,456,590,890,165,890,091,250,
034,227,961,290,689,472,958,549,292,293,740,988,239,710,197,041,732,442,552,
412,092,825,451,080,476,993,715,015,997,186,634,812,316,789,709,039,104,247,
844,285,986,896,901,391,897,288,787,338,058,770,114,465,593,785,497,909,807,
733,639,056,985,310,897,532,560,579,931,794,699,027,287,842,862,108,215,639,
575,896,127,755,077,644,299,018,731,097,333,657,914,983,626,324,632,087,401,
418,479,877,699,903,822,199,291,355,934,775,750,204,677,180,451,007,337,225,
051,638,287,514,596,109,963,991,559,323,925,491,293,216,435,089,813,995,522,
272,440,422,288,151,757,054,820,580,797,912,984,443,763,639,648,365,242,092,
345,547,411,731,420,725,834,170,702,516,697,168,825,044,388,401,857,408,192,
223,391,894,195,338,130,865,564,742,530,424,851,063,493,344,928,983,927,707,
186,240,820,571,962,770,315,597,334,895,724,170,085,166,733,271,959,606,826,
180,386,307,518,094,256,738,879,576,973,940,917,753,854,300,714,752,001,796,
430,265,310,348,165,226,337,572,263,785,676,773,439,620,701,301,159,691,244,
681,773,975,506,471,004,620,619,054,991,001,449,743,865,721,319,265,139,591,
812,844,279,045,391,396,201,987,866,200,278,400,870,260,678,894,860,633,695,
661,987,226,254,089,834,445,784,091,752,405,418,717,982,030,494,844,228,530,
366,364,036,950,033,248,735,316,506,429,468,380,614,375,319,504,916,291,550,
276,895,774,783,537,426,558,648,143,474,963,079,669,035,457,619,350,305,202,
738,841,615,191,523,686,355,942,616,364,695,763,146,125,526,694,610,523,340,
552,318,067,990,468,453,556,725,313,934,864,856,522,098,615,135,265,959,348,
009,152,414,875,954,075,552,847,878,234,202,715,018,963,215,326,087,658,381,
289,739,464,277,015,870,504,136,193,724,180,884,621,661,944,990,813,895,172,
666,898,458,345,820,078,918,777,103,951,548,934,047,618,685,033,637,356,399,
574,313,036,482,644,368,982,314,884,845,370,062,494,828,893,434,382,793,272,
649,125,073,332,777,298,798,441,561,313,827,233,784,645,069,078,139,617,040,
336,648,108,921,310,723,912,454,499,626,653,739,121,157,493,585,018,978,910,
710,539,851,182,434,811,729,737,358,106,455,249,016,186,615,108,800,311,543,
761,479,782,521,303,509,678,786,819,814,995,182,327,819,692,863,483,588,029,
816,902,333,162,256,836,968,877,730,830,682,743,216,155,252,406,735,892,613,
541,058,528,715,301,249,846,967,148,487,903,186,598,340,001,044,543,954,205,
781,071,172,159,498,322,191,398,986,048,358,448,292,640,559,565,726,089,201,
783,945,021,550,250,478,412,457,515,287,680,718,065,637,703,564,355,358,669,
489,218,831,477,980,200,294,146,873,968,288,653,008,417,099,932,421,147,040,
721,897,685,177,755,885,786,697,020,610,162,612,308,614,027,323,350,361,982,
372,832,548,595,872,687,717,710,619,222,175,377,310,471,152,337,947,475,949,
145,091,974,188,521,708,792,075,014,462,729,830,970,025,803,761,168,648,658,
345,775,991,471,451,088,626,227,074,594,313,915,211,255,005,009,114,579,127,
020,841,376,854,372,019,094,245,229,157,442,231,682,455,041,471,019,955,367,
742,562,307,718,054,299,984,092,624,492,982,531,871,979,456,758,202,809,852,
885,516,554,683,801,416,425,334,002,614,693,945,504,361,553,992,922,877,345,
407,999,343,148,264,868,141,933,662,641,154,215,806,583,872,218,169,863,892,
729,503,252,779,764,704,907,188,426,115,099,530,515,571,241,396,462,982,346,
843,294,815,257,624,724,370,051,677,505,097,563,024,793,247,563,379,093,991,
004,034,179,064,079,511,921,358,283,538,196,234,485,677,023,434,850,761,112,
369,650,927,728,908,570,398,510,519,858,961,679,418,846,733,238,423,344,752,
275,627,936,878,564,585,939,393,307,293,587,392,091,176,202,213,875,451,952,
555,346,540,339,918,436,929,362,856,199,065,071,783,824,126,686,164,135,410,
056,019,849,450,010,456,262,210,371,875,164,048,467,192,473,815,392,208,103,
327,055,872,075,182,198,307,711,600,278,652,063,334,722,660,297,651,362,962,
764,068,472,170,099,346,977,467,028,494,145,266,610,019,669,445,764,201,863,
766,690,510,073,420,597,179,722,564,964,600,947,586,004,991,652,106,760,847,
903,260,308,420,359,092,976,167,629,170,155,068,939,985,052,028,264,454,622,
211,003,330,237,851,503,199,535,465,522,404,729,111,755,251,351,064,001,365,
916,865,065,837,488,269,550,074,800,318,575,944,421,581,043,803,135,490,332,
166,072,064,577,656,493,539,077,156,457,351,111,186,664,734,482,863,783,330,
017,749,435,002,217,496,369,835,842,179,386,429,626,272,480,405,141,072,356,
335,379,615,553,480,241,452,784,454,955,862,866,163,042,944,358,609,086,425,
111,957,771,679,113,396,425,755,983,411,621,371,463,820,155,510,524,929,318,
171,063,572,662,560,012,306,695,559,739,215,442,771,613,603,136,069,060,050,
055,729,610,586,011,161,081,472,015,336,327,706,089,778,352,038,190,343,134,
329,976,436,106,515,744,943,519,190,390,283,966,898,412,539,566,656,486,965,
423,002,076,294,245,209,809,025,096,452,009,214,578,163,978,797,472,158,129,
192,431,659,052,494,331,947,419,785,165,217,489,620,820,727,457,707,155,696,
204,371,029,547,243,227,176,012,308,037,118,540,408,140,214,677,437,690,676,
996,683,704,225,866,468,694,683,159,151,539,815,016,614,830,013,717,925,040,
547,366,139,893,147,289,579,035,555,242,846,217,938,883,701,301,510,592,589,
189,960,317,145,558,231,519,138,500,607,129,251,160,800,465,647,655,828,599,
491,415,848,984,944,706,231,317,061,784,669,651,167,310,333,893,901,259,392,
823,160,328,140,684,018,788,413,204,161,419,360,197,274,893,270,204,252,391,
459,836,090,281,749,236,267,295,114,271,270,609,269,252,951,856,278,044,849,
145,672,661,277,117,625,556,656,641,074,689,708,434,628,291,757,235,933,529,
321,301,809,125,542,508,043,199,691,706,371,430,856,439,509,730,088,808,628,
234,221,513,682,443,334,488,399,492,696,777,012,192,579,831,599,065,175,509,
797,407,718,262,990,718,624,298,820,737,155,658,713,443,376,116,856,451,375,
570,658,629,380,797,689,731,707,076,314,555,636,073,179,615,428,563,858,971,
543,341,054,421,238,628,941,801,443,428,577,450,416,491,159,511,051,837,965,
176,571,571,229,011,636,073,985,052,236,576,003,916,594,907,537,999,123,957,
531,389,990,334,926,699,631,823,294,835,152,650,127,108,381,185,821,129,600,
919,234,697,268,507,193,322,934,803,316,566,325,569,883,523,679,419,359,863,
980,847,769,505,698,862,151,727,642,444,027,488,433,986,762,384,066,441,690,
442,289,807,252,328,153,278,256,121,685,784,512,091,932,920,172,319,843,473,
834,459,749,820,161,845,872,586,291,092,692,125,540,330,578,503,049,606,820,
208,871,820,706,439,513,927,355,310,436,986,832,616,416,755,665,367,671,545,
884,528,090,445,810,080,393,926,205,154,321,097,564,219,961,397,227,957,677,
433,873,639,894,954,499,754,258,025,925,072,271,843,630,816,363,675,614,879,
706,635,324,066,550,358,246,000,209,547,884,487,569,510,316,653,028,837,633,
772,353,339,463,499,137,432,479,243,266,722,042,249,504,366,633,378,090,957,
911,740,444,885,595,951,881,236,038,501,146,683,186,521,113,685,021,170,074,
642,002,882,500,769,775,370,333,085,354,291,129,569,524,257,633,291,077,348,
855,429,014,925,177,261,489,274,345,926,086,644,084,581,670,421,723,474,721,
561,265,976,285,232,401,821,946,830,957,715,276,649,101,071,410,395,064,075,
443,491,958,223,486,529,387,832,846,374,286,728,869,051,866,084,943,563,049,
437,139,892,080,598,971,969,527,725,295,396,295,499,089,173,650,415,548,830,
196,510,179,647,127,769,316,672,159,826,032,403,233,406,715,354,267,985,712,
310,899,935,118,513,543,635,765,829,286,571,921,187,733,076,445,889,111,364,
967,509,895,478,245,076,792,643,986,115,017,610,718,860,399,837,310,231,533,
341,473,889,629,695,965,550,794,508,097,519,696,160,402,751,643,906,008,652,
464,556,370,907,933,281,857,390,559,327,088,417,621,646,247,178,521,996,945,
962,937,107,398,972,233,815,531,143,770,502,831,232,734,622,966,510,689,441,
208,248,643,068,480,080,298,910,106,384,008,320,849,612,517,907,934,498,892,
987,722,025,434,415,593,219,480,591,950,383,401,126,605,479,663,661,271,984,
089,316,073,893,415,585,974,881,665,328,283,612,898,601,305,429,261,284,534,
729,826,077,069,371,900,759,715,674,755,462,129,561,747,897,648,591,379,202,
355,269,732,067,525,776,136,833,660,600,450,591,292,644,625,690,023,892,785,
355,142,932,673,707,312,020,793,357,424,507,053,661,750,259,085,851,759,315,
655,600,631,974,524,409,604,504,120,042,821,013,253,218,884,925,749,439,302,
363,733,264,019,470,017,996,268,567,885,871,326,065,860,093,530,587,208,108,
018,765,392,906,509,741,696,279,371,707,393,215,468,013,603,551,910,982,229,
744,563,320,733,167,685,785,059,685,446,472,037,504,474,434,649,340,332,480,
972,512,083,740,969,007,847,407,953,273,389,890,580,908,867,332,384,120,327,
200,836,991,877,925,954,903,734,786,810,673,674,810,502,118,519,939,216,534,
414,213,566,156,875,249,442,838,733,063,852,840,731,379,565,720,126,428,931,
279,017,103,558,899,748,194,852,509,518,036,876,061,268,101,059,215,592,270,
049,064,155,435,526,070,553,508,332,556,428,092,086,917,845,161,476,989,638,
097,473,249,762,723,223,329,844,838,920,123,191,983,259,881,072,562,705,901,
368,567,984,768,168,442,517,991,520,648,386,271,408,980,395,009,142,174,570,
119,853,308,897,935,647,092,716,488,675,811,612,199,869,800,246,657,746,727,
770,708,410,699,255,055,876,580,654,157,724,598,322,798,849,948,330,251,520,
981,878,466,521,262,762,745,466,771,260,956,676,705,777,261,967,997,820,439,
685,973,554,138,869,356,595,875,633,904,542,670,722,704,666,856,209,564,298,
127,268,538,597,511,841,394,155,566,039,400,785,478,850,250,548,735,944,741,
934,289,653,025,301,115,717,865,315,072,155,180,528,060,190,928,445,964,627,
479,732,068,594,489,043,295,439,916,751,381,502,426,479,553,225,076,251,035,
731,612,241,324,223,862,461,954,035,528,549,416,315,938,841,060,109,146,047,
755,467,471,787,906,682,220,505,432,202,509,214,080,198,034,683,533,542,580,
703,046,950,381,662,726,559,230,263,681,859,231,828,593,295,255,766,445,042,
996,816,421,157,023,061,753,684,281,275,311,163,260,306,361,733,057,818,287,
365,019,588,648,003,456,843,984,188,598,978,335,451,370,536,866,104,322,281,
753,136,532,028,792,407,680,475,622,073,694,106,667,397,127,213,167,190,793,
730,775,920,476,597,684,429,406,220,794,531,161,651,411,837,238,629,568,433,
172,054,056,150,937,927,435,191,951,510,612,416,285,615,573,612,725,946,032,
795,458,759,945,514,327,260,553,608,564,472,217,673,829,386,909,117,510,981,
146,336,754,780,159,539,085,014,547,825,633,214,318,822,957,227,649,463,288,
386,271,039,084,856,812,735,859,304,224,212,975,493,051,284,387,795,007,358,
518,083,384,873,471,825,238,788,987,259,914,183,984,177,350,529,212,846,129,
214,199,226,638,879,121,113,395,621,039,571,235,809,486,104,837,833,359,495,
866,020,264,567,324,113,659,050,369,925,055,405,036,959,166,567,620,051,310,
014,296,210,141,401,268,519,467,177,607,812,644,518,868,686,622,900,158,201,
732,449,827,861,630,368,560,760,930,145,090,262,287,363,873,200,283,547,801,
570,715,730,258,379,195,713,669,421,763,100,799,621,631,780,914,509,890,117,
231,642,476,370,129,145,105,447,906,545,107,142,286,859,075,848,649,054,252,
140,887,957,946,078,504,852,470,621,728,632,233,360,381,769,959,806,475,107,
630,050,607,696,342,185,850,776,892,455,298,561,379,453,065,635,140,040,806,
033,843,444,897,976,904,012,006,599,157,663,313,458,893,346,090,601,102,882,
397,212,179,736,316,928,100,385,087,355,945,245,953,083,354,269,409,214,519,
515,269,821,347,492,695,052,679,246,759,240,973,439,524,563,826,722,219,095,
014,038,898,023,428,934,883,380,829,415,706,375,107,447,178,595,644,476,539,
180,392,123,427,062,500,347,845,660,285,214,445,897,806,906,094,159,614,478,
630,212,210,244,264,219,603,931,908,058,538,457,041,872,687,583,133,214,307,
116,361,930,640,702,115,911,153,143,706,160,994,011,113,922,641,317,051,098,
578,087,942,913,700,646,570,968,556,484,477,295,737,338,077,520,367,159,243,
215,603,171,915,356,831,443,298,168,976,081,383,618,212,677,799,967,811,344,
447,679,407,304,041,928,730,050,180,490,268,699,052,959,643,909,745,746,558,
619,013,137,585,909,615,238,161,304,530,490,643,273,942,847,682,047,856,344,
315,160,934,267,683,757,141,940,487,178,610,575,569,431,831,853,951,114,837,
865,303,688,762,632,873,324,616,463,032,655,192,114,145,216,967,240,413,031,
503,451,521,299,874,575,832,655,436,250,650,728,104,187,327,648,018,123,613,
688,800,496,761,688,843,232,565,041,678,484,337,038,166,880,438,512,583,092,
437,012,218,057,842,726,991,966,942,027,576,053,446,549,862,272,285,141,954,
108,165,431,601,757,473,843,623,644,306,123,877,882,456,207,728,183,771,431,
069,974,000,364,809,290,210,821,589,688,994,328,509,413,354,595,471,673,465,
670,404,990,205,072,162,766,168,417,627,597,694,628,354,790,422,177,372,926,
118,634,183,205,689,206,848,490,551,543,899,034,571,886,315,802,755,078,566,
233,854,105,187,039,971,326,608,673,017,882,329,152,765,390,393,616,315,727,
815,974,621,923,718,003,842,108,730,039,210,341,376,768,660,528,223,706,747,
475,176,293,185,457,689,323,985,489,202,487,819,238,749,020,292,903,847,444,
015,700,543,371,501,077,610,290,446,685,261,111,512,992,285,371,554,160,818,
461,867,941,267,588,924,919,468,481,239,322,137,935,449,335,582,620,264,663,
746,526,703,227,100,843,679,422,110,667,035,718,409,197,128,649,695,147,562,
230,205,539,318,619,638,361,867,235,613,560,148,266,873,485,231,881,670,841,
579,525,587,063,313,014,517,488,332,972,507,786,160,484,671,210,928,398,659,
766,697,630,775,590,544,327,017,609,055,928,503,695,506,899,001,964,758,815,
690,495,662,360,956,572,337,638,901,088,185,383,940,789,250,455,163,840,563,
309,612,588,184,594,878,823,303,551,890,678,932,084,475,670,432,856,967,223,
240,234,070,435,921,249,508,185,860,433,138,603,403,182,042,138,170,773,298,
208,426,378,956,605,163,948,828,410,192,353,157,504,267,150,143,089,649,798,
600,474,263,420,829,576,785,764,064,278,427,388,946,296,951,898,773,231,656,
737,343,380,327,700,404,760,407,163,352,237,542,108,101,288,160,723,830,737,
699,863,357,074,975,181,150,926,770,951,341,396,845,324,543,606,322,217,580,
051,796,199,648,284,273,265,935,223,908,790,153,985,534,042,790,474,286,623,
794,284,036,257,705,432,658,711,142,029,741,757,051,733,128,930,673,948,226,
338,408,937,058,248,870,419,580,357,566,092,461,287,313,951,990,778,085,187,
214,624,614,339,792,791,959,602,555,317,125,582,726,959,844,117,501,889,742,
738,418,146,391,945,233,887,709,539,716,665,095,923,175,106,729,864,291,868,
555,653,231,912,508,979,219,209,531,214,506,973,111,847,510,592,414,269,304,
779,382,036,044,431,448,909,928,387,441,922,831,644,400,390,419,149,375,795,
315,697,499,519,644,501,361,007,641,826,423,239,252,381,807,972,199,119,858,
954,531,539,221,307,205,879,620,493,872,225,962,258,031,709,142,264,300,028,
294,578,268,440,639,313,143,961,320,709,056,735,978,251,057,306,868,837,550,
630,676,304,035,428,467,804,028,680,977,654,003,431,760,502,731,070,792,912,
095,485,298,555,747,863,803,599,873,711,808,032,661,644,389,419,011,010,823,
326,822,014,008,552,958,423,001,159,470,335,847,640,967,526,430,295,829,653,
745,909,270,513,483,585,709,742,402,522,930,121,080,087,818,268,510,293,392,
516,722,614,944,302,858,190,125,867,928,086,894,104,999,518,198,192,751,514,
528,535,939,877,697,234,895,310,548,882,057,966,556,616,638,079,414,029,561,
777,105,933,259,375,134,113,488,359,129,104,373,085,474,285,388,051,107,484,
638,649,983,168,479,672,076,151,876,177,072,251,351,980,024,433,911,966,712,
451,819,497,561,503,811,035,698,368,151,411,128,163,914,003,999,549,183,662,
862,006,770,426,151,208,878,649,600,848,641,885,297,860,230,809,454,831,677,
761,563,305,481,646,392,194,758,730,960,491,299,888,127,368,987,529,396,316,
380,553,180,310,483,993,913,363,261,644,716,635,297,127,494,660,188,467,473,
547,338,607,288,441,218,671,880,642,513,691,360,074,747,595,989,684,354,485,
234,235,580,375,190,735,106,390,759,257,435,654,806,667,081,369,840,047,628,
919,475,344,923,315,748,979,228,584,088,866,793,091,265,164,045,940,431,173,
958,652,546,267,155,029,509,247,292,426,467,023,799,121,286,043,057,278,031,
932,040,354,073,553,457,874,959,097,185,878,999,465,722,309,029,526,710,012,
293,666,295,978,754,406,008,763,517,232,174,708,359,666,719,238,038,360,892,
356,127,205,608,372,550,036,720,641,416,601,113,345,193,019,240,248,326,381,
832,262,297,244,037,742,961,134,314,672,424,135,221,294,775,893,859,508,907,
693,582,142,140,983,095,383,172,972,475,500,951,364,338,095,241,397,427,440,
624,997,164,502,750,062,263,696,089,861,266,338,780,352,239,278,502,538,876,
828,224,409,870,258,926,931,961,684,989,175,732,069,255,344,324,805,480,791,
034,671,090,981,849,632,569,768,367,250,935,011,631,791,552,379,552,554,954,
391,612,831,635,090,218,628,940,350,154,068,395,064,150,012,991,173,883,483,
290,024,964,766,877,739,501,672,555,988,432,202,988,929,285,647,192,158,234,
070,360,315,599,543,532,425,191,433,903,728,365,311,891,246,876,283,056,176,
034,964,233,975,072,850,118,618,789,772,767,133,622,085,888,315,880,849,216,
189,890,126,427,035,363,274,036,502,712,957,586,288,502,095,582,647,916,948,
154,364,495,551,849,205,793,290,639,924,604,657,199,102,385,933,942,410,240,
321,751,614,028,081,792,833,975,653,928,930,226,363,948,744,521,688,398,764,
993,066,768,703,341,222,275,630,106,342,910,927,853,725,918,389,788,927,458,
217,121,676,294,517,895,109,390,911,384,044,966,364,360,786,470,012,672,495,
904,824,461,712,897,423,326,335,680,879,768,429,379,191,473,551,321,809,580,
510,454,802,125,617,391,599,632,450,783,632,200,412,271,934,207,455,815,611,
574,515,677,053,603,957,143,552,584,582,925,764,817,165,314,458,015,618,008,
509,918,630,252,537,097,965,556,884,972,126,689,891,827,846,545,575,360,416,
313,463,970,096,347,564,341,701,601,182,695,241,637,948,498,779,759,411,525,
167,630,780,781,470,659,512,284,367,504,355,661,271,754,453,508,477,953,211,
420,606,207,271,943,899,900,998,820,167,712,651,164,065,807,094,987,740,974,
766,126,159,503,544,448,644,058,360,806,133,750,701,827,910,285,175,236,187,
848,168,302,329,482,604,868,539,052,479,439,735,315,946,163,744,302,806,699,
612,380,846,339,338,703,844,643,341,189,793,935,172,882,418,107,427,999,536,
829,658,348,931,884,731,972,197,353,711,482,428,833,329,243,762,242,416,026,
410,786,958,076,203,416,922,646,473,076,482,694,545,517,939,955,778,471,292,
973,809,248,624,067,461,326,379,741,955,151,822,568,865,256,358,468,272,128,
176,613,504,503,211,856,867,091,882,210,394,708,805,822,114,364,984,300,404,
999,398,439,559,883,929,713,186,626,746,428,274,231,306,012,370,001,043,966,
761,685,681,277,051,388,680,891,896,909,805,817,998,103,076,224,146,694,583,
288,678,280,806,974,141,119,876,999,473,323,727,155,016,853,108,422,771,149,
400,749,443,279,508,998,457,993,040,535,760,026,045,343,076,222,788,818,428,
994,652,352,116,721,759,628,307,817,024,018,303,262,661,536,214,322,048,458,
967,628,518,994,558,880,116,759,942,581,785,497,682,405,160,821,337,451,214,
727,275,503,727,995,317,581,785,066,605,665,864,308,975,778,517,158,407,489,
928,126,463,566,220,728,781,011,067,446,275,477,980,418,627,669,606,830,734,
144,306,889,242,119,387,746,046,381,700,551,717,802,815,877,537,138,395,703,
743,015,161,614,020,819,793,708,260,715,132,611,969,036,778,174,768,003,433,
960,132,267,049,043,272,281,406,959,046,501,462,119,644,681,025,638,360,251,
105,245,565,489,007,937,996,738,326,909,620,394,917,977,759,157,102,662,011,
567,185,434,861,697,479,057,683,410,486,830,489,444,741,847,464,856,031,572,
474,379,399,091,821,157,026,406,013,197,827,556,275,725,312,176,623,014,415,
532,440,955,226,496,763,214,927,582,729,486,519,490,991,901,766,076,756,774,
284,422,475,582,893,060,142,581,586,181,199,893,043,634,848,922,319,015,070,
740,245,365,377,818,766,253,289,135,449,784,472,801,570,036,536,167,893,524,
280,634,832,779,602,686,280,145,099,076,627,272,922,781,341,020,060,217,659,
235,966,027,868,453,771,136,418,375,321,223,703,655,282,559,950,794,771,965,
089,812,945,074,986,895,630,996,505,822,495,230,044,246,066,684,590,466,957,
034,455,672,315,290,256,476,975,390,402,155,413,592,691,390,622,492,343,973,
615,342,063,595,528,349,755,613,959,148,445,279,943,423,659,812,088,412,259,
188,273,816,076,528,412,933,587,462,572,928,340,330,259,931,774,946,759,425,
405,750,250,525,751,501,833,841,092,206,855,535,044,792,037,597,122,989,123,
609,602,548,147,958,525,339,232,129,064,632,051,361,585,916,108,662,359,886,
465,913,403,312,764,770,615,152,411,676,244,951,819,954,262,976,522,844,888,
893,793,716,412,186,331,232,556,274,008,364,261,425,235,359,911,592,000,295,
771,227,489,340,506,770,789,052,912,562,917,835,442,444,616,510,192,412,375,
299,610,371,157,988,978,639,228,865,028,964,284,716,586,321,870,639,761,921,
977,953,602,682,683,289,588,277,953,411,232,125,973,045,182,412,114,491,379,
375,448,132,135,198,956,475,838,809,932,426,142,408,184,117,054,120,600,218,
266,909,760,195,036,017,024,801,152,334,460,621,027,933,610,650,278,066,318,
244,800,171,259,339,994,188,414,023,298,961,963,679,607,614,267,573,873,068,
841,219,261,207,544,455,066,326,909,020,540,496,793,566,930,106,531,940,825,
017,031,192,878,288,403,122,475,389,070,030,205,936,541,173,368,396,212,584,
249,130,840,058,322,506,982,963,467,693,063,819,773,235,566,326,158,282,487,
160,388,921,710,635,600,776,987,484,372,286,446,347,968,792,357,684,331,837,
887,348,856,514,714,078,120,863,381,783,788,958,185,015,302,230,122,057,236,
686,812,409,490,570,918,012,205,533,493,787,330,630,116,936,147,438,612,256,
712,890,664,844,772,628,496,247,447,186,154,704,824,760,699,846,802,333,789,
661,761,617,327,773,808,655,845,375,863,957,126,514,146,711,700,079,553,313,
423,156,151,696,474,447,768,806,974,929,887,521,443,893,055,991,283,459,230,
162,261,454,120,752,943,001,587,405,276,198,569,159,341,052,127,945,481,169,
871,962,224,368,944,045,246,302,692,415,064,132,455,424,364,699,596,400,127,
549,137,223,636,539,487,711,939,698,965,381,325,943,946,598,035,143,546,906,
349,848,541,477,082,333,848,773,502,998,565,734,019,549,672,016,970,203,297,
345,401,591,021,912,742,769,862,219,895,083,260,213,560,293,614,724,221,977,
720,412,370,087,669,467,528,322,676,739,283,204,480,787,841,638,906,886,813,
058,622,827,989,649,573,830,655,405,328,436,079,409,967,329,462,359,231,554,
265,900,651,608,003,139,751,581,331,190,353,083,906,244,158,854,871,349,229,
382,306,641,505,334,385,012,755,768,575,313,742,296,314,775,500,596,325,555,
398,443,938,021,477,317,766,380,100,813,705,353,800,164,942,911,667,658,759,
854,771,798,453,766,867,408,069,650,198,059,682,782,549,392,129,498,483,574,
783,377,629,732,334,168,628,321,290,071,375,020,114,813,415,643,178,590,835,
022,674,641,043,056,925,089,260,732,615,007,825,411,494,133,902,645,702,673,
852,400,693,117,293,303,346,238,609,691,802,243,532,566,270,020,657,834,641,
998,238,212,326,474,663,766,105,952,940,602,685,096,286,125,273,837,278,799,
870,213,041,022,594,462,272,855,225,864,517,775,736,445,771,331,979,214,513,
306,494,262,794,753,560,784,109,643,589,235,108,016,460,242,793,613,938,597,
127,047,483,375,236,376,604,820,599,231,100,995,298,520,428,182,882,754,770,
940,656,682,008,075,746,071,128,211,191,097,376,400,877,260,086,865,393,916,
938,462,949,414,295,769,584,755,018,594,107,899,001,039,036,878,021,977,950,
320,637,411,908,125,657,555,435,721,358,222,806,967,014,088,686,157,321,242,
071,509,912,567,154,407,735,708,583,118,570,239,818,635,904,480,465,219,117,
273,714,187,791,565,424,313,970,651,293,736,387,848,576,310,810,028,466,785,
039,118,007,178,881,214,185,385,331,593,933,807,363,086,416,636,893,210,412,
109,198,406,684,486,965,533,088,598,496,592,643,088,775,105,117,009,933,671,
101,996,465,404,179,841,194,886,839,137,270,285,527,867,807,116,148,106,835,
732,930,326,096,378,339,270,935,248,074,320,813,765,149,730,346,253,667,706,
664,214,487,232,110,831,934,522,593,761,077,434,378,561,318,599,798,464,168,
184,360,457,521,490,924,604,463,448,593,745,981,462,619,350,014,556,660,770,
148,146,530,000,315,100,371,008,971,633,024,230,844,296,111,346,667,818,351,
691,923,004,825,815,210,370,378,412,372,257,123,264,412,564,917,521,902,581,
724,610,442,768,450,627,977,140,604,483,547,065,199,643,337,189,935,893,240,
155,336,644,211,708,382,248,008,398,115,891,788,202,574,527,358,378,923,724,
868,603,234,416,958,501,142,472,638,975,226,160,112,943,599,042,940,673,385,
844,028,682,473,721,946,873,185,188,080,926,407,057,600,146,558,380,875,284,
116,126,166,281,358,187,627,209,245,577,265,733,960,667,773,922,999,610,293,
552,804,481,159,494,935,247,370,926,969,762,518,178,655,140,983,838,296,798,
356,862,307,834,431,565,454,459,664,242,763,374,879,417,437,524,329,600,798,
419,746,321,010,178,849,330,394,037,124,968,125,183,721,774,315,489,944,921,
215,095,217,273,190,505,096,812,003,251,883,222,934,285,197,624,639,830,426,
355,293,110,806,148,286,295,180,888,986,822,385,320,939,007,058,732,131,795,
257,130,563,105,602,793,975,405,999,670,612,210,875,171,823,599,055,059,426,
268,767,577,149,860,417,101,209,945,018,283,931,863,579,978,608,590,784,432,
837,135,144,556,875,028,027,153,735,757,988,267,512,697,457,850,394,350,671,
561,819,092,364,470,111,636,129,081,702,164,923,346,485,682,129,733,722,085,
041,181,954,274,313,777,613,229,786,206,069,256,866,556,163,338,081,908,272,
869,475,511,073,208,130,596,396,698,236,453,165,257,641,778,338,779,679,606,
009,312,114,488,602,642,687,408,421,697,889,822,161,650,841,957,555,836,089,
111,379,965,562,353,817,640,736,952,603,512,451,507,996,427,437,216,000,248,
645,046,441,666,948,847,330,123,933,211,853,014,636,892,889,615,290,327,277,
723,528,374,547,461,838,829,179,911,055,275,539,767,142,117,497,476,321,642,
696,603,412,849,103,839,577,310,188,652,032,643,691,352,295,774,897,284,640,
522,163,193,438,791,637,944,952,348,468,682,945,272,445,145,627,065,934,220,
995,060,412,291,935,647,504,084,030,774,693,165,055,033,882,836,574,238,023,
201,052,928,559,076,611,171,755,580,244,599,772,320,026,619,865,671,173,691,
677,470,771,902,817,297,805,826,134,785,317,657,131,955,892,644,291,249,980,
674,722,558,772,224,388,471,366,324,394,602,577,787,510,738,884,673,230,162,
310,517,382,437,984,684,847,977,163,243,130,884,005,393,397,962,880,272,600,
846,445,444,715,960,411,863,339,084,553,719,961,732,609,839,180,679,753,578,
353,692,532,558,712,515,665,333,126,305,964,483,124,706,703,088,194,354,434,
260,685,949,743,251,911,348,875,289,916,808,102,730,589,336,017,586,331,776,
562,919,181,477,245,545,956,186,662,965,490,072,364,462,063,551,321,349,089,
483,111,560,078,783,608,213,003,770,783,465,052,194,382,321,894,989,615,772,
274,068,620,581,865,278,745,876,469,615,367,045,536,156,356,744,303,959,085,
095,847,172,432,894,984,043,957,743,942,179,784,903,513,424,544,818,861,148,
099,494,892,706,362,528,137,705,290,064,997,118,785,037,411,164,263,742,033,
312,794,581,964,822,834,090,893,375,703,569,507,031,968,442,651,247,433,897,
315,810,055,723,807,859,006,070,089,465,505,439,873,147,903,059,578,042,297,
036,465,159,295,230,362,056,601,883,482,983,568,716,332,439,807,613,398,315,
828,808,992,608,569,470,729,240,845,518,756,263,578,750,898,950,438,562,005,
201,381,624,238,493,838,020,343,586,543,866,127,753,831,277,529,314,901,069,
803,846,523,622,464,538,076,462,517,139,898,635,311,157,174,040,454,868,572,
695,596,829,937,615,463,308,509,921,811,393,414,140,103,111,060,385,392,552,
676,554,322,122,178,995,954,787,444,147,581,243,360,613,668,977,118,504,000,
694,883,982,055,503,421,100,546,589,516,619,440,357,572,294,599,318,091,942,
680,889,799,859,008,620,576,160,421,723,458,869,733,577,673,298,986,924,599,
487,473,464,360,163,561,450,740,082,774,197,181,719,311,435,674,410,783,359,
843,276,928,935,206,742,147,050,863,824,435,227,475,416,640,408,766,598,029,
717,783,186,518,171,881,358,646,644,120,022,971,475,492,574,347,790,244,433,
898,931,653,036,094,205,101,781,795,157,529,823,818,683,402,154,848,720,925,
475,047,684,898,108,479,386,720,190,304,846,294,423,975,471,187,201,200,838,
000,080,924,071,327,061,776,762,414,550,030,714,288,485,203,003,646,726,989,
719,872,860,814,704,096,848,610,753,059,343,879,605,083,992,357,954,177,263,
177,216,082,230,443,333,896,938,748,658,366,073,995,824,883,202,836,385,408,
911,425,442,597,860,463,362,414,928,689,979,202,921,296,193,740,575,256,111,
615,273,551,183,085,937,360,494,812,956,880,396,552,975,714,973,890,225,841,
396,011,503,651,978,441,462,039,062,145,278,999,870,273,086,042,015,451,107,
273,839,713,869,390,835,738,001,735,679,843,445,023,190,987,476,498,868,867,
438,326,365,859,878,212,986,392,682,858,468,709,232,261,024,121,792,131,806,
774,888,469,792,337,827,432,980,848,523,087,778,490,488,986,529,719,243,565,
129,458,510,092,663,727,264,392,135,089,364,137,761,263,124,305,526,186,845,
054,622,642,496,020,849,395,478,457,440,581,776,140,014,851,738,954,803,419,
049,047,763,908,633,521,682,137,961,478,966,645,126,548,971,508,632,147,037,
677,627,770,320,950,476,008,624,390,806,988,559,808,641,330,482,829,308,324,
160,056,851,559,532,967,097,834,839,549,027,442,347,662,435,324,660,081,760,
628,930,454,270,167,722,831,026,717,753,530,164,437,478,159,763,502,355,023,
700,724,887,103,340,037,091,438,487,208,981,984,607,050,443,215,637,946,378,
290,918,508,919,731,100,974,141,874,568,408,829,687,067,368,347,416,009,513,
608,502,869,236,555,406,665,692,335,302,726,275,634,323,370,323,364,620,087,
968,409,998,176,584,131,462,203,754,878,669,648,748,651,315,279,428,788,367,
084,875,427,674,903,456,518,269,746,445,458,368,376,535,099,294,764,418,182,
683,475,023,337,778,179,716,155,034,663,254,215,641,356,110,441,036,628,725,
862,554,342,121,594,962,642,947,390,561,997,155,317,571,321,419,065,378,011,
865,739,055,590,058,813,558,010,145,197,493,294,267,038,384,386,118,401,523,
510,469,675,638,809,481,425,640,477,049,706,734,739,203,627,264,418,754,658,
168,221,480,536,970,536,429,926,355,058,732,228,007,955,598,723,295,946,522,
753,657,109,641,581,998,829,797,981,494,523,564,261,259,063,409,612,963,865,
665,973,869,808,382,169,895,686,833,829,449,140,190,200,901,676,173,086,153,
013,459,102,976,853,921,199,935,185,707,602,202,303,708,175,879,667,710,798,
517,114,441,886,451,377,728,360,419,736,267,290,794,339,706,684,913,331,427,
177,026,107,596,724,201,016,210,880,013,520,625,979,678,481,989,496,131,121,
646,168,294,538,005,858,532,109,675,135,669,868,100,891,548,462,190,394,168,
116,774,077,149,774,475,050,419,665,370,242,685,666,638,460,617,787,912,178,
700,985,981,005,227,343,478,208,842,759,962,620,791,306,456,125,413,943,711,
105,906,316,715,927,215,146,087,407,183,631,079,235,811,522,442,616,946,074,
036,103,111,212,462,872,027,232,855,893,360,617,631,716,517,148,647,566,785,
549,044,489,045,936,632,622,547,108,625,005,785,019,726,207,574,687,166,540,
414,716,185,120,373,750,999,543,111,218,555,813,189,889,924,217,039,202,017,
400,091,068,050,425,565,990,134,221,841,457,274,452,350,742,242,331,807,839,
351,552,279,187,481,189,066,359,888,678,022,105,884,530,953,682,216,143,008,
651,611,381,901,985,382,521,941,637,927,842,171,130,126,396,837,731,982,422,
814,947,013,981,699,324,180,139,813,335,507,927,607,486,293,331,175,001,176,
813,124,450,274,606,218,763,821,742,143,962,842,986,578,779,330,877,995,650,
431,898,967,132,935,507,898,849,970,633,656,664,181,043,284,625,796,807,753,
211,464,868,610,258,634,074,293,964,046,425,988,017,606,452,907,112,756,644,
817,469,116,790,975,047,011,569,446,083,159,231,032,501,472,947,935,339,431,
448,447,165,703,306,297,019,214,658,879,638,538,967,111,593,483,584,595,235,
605,408,118,781,694,649,926,002,292,282,344,291,306,461,425,586,051,450,480,
342,063,378,176,391,887,726,044,601,360,098,579,820,745,943,746,822,753,882,
330,060,475,339,309,972,998,449,292,090,962,085,890,511,360,854,757,537,201,
584,400,894,669,752,023,805,500,529,283,494,953,059,089,504,748,775,201,639,
634,883,594,303,161,053,578,242,648,057,807,602,758,791,645,576,472,949,189,
260,807,500,752,782,545,802,121,015,344,311,089,896,518,517,599,362,063,552,
077,366,885,358,917,503,471,348,504,076,863,316,097,774,210,172,879,270,711,
558,943,311,192,145,139,795,071,103,034,613,588,111,495,284,706,554,735,813,
209,848,792,729,972,913,860,863,059,889,843,926,649,117,165,267,201,419,885,
317,425,286,168,906,520,209,471,353,037,541,770,700,782,900,857,950,985,894,
231,114,914,188,381,283,946,986,690,260,962,890,062,549,305,460,561,242,526,
529,337,535,100,339,695,822,630,684,375,250,199,356,991,699,822,658,457,999,
830,834,917,106,047,799,173,725,552,345,698,634,425,947,127,081,977,500,899,
969,436,092,809,873,673,131,039,805,506,539,328,540,415,350,953,145,607,625,
365,079,180,201,688,370,433,681,840,895,791,842,003,145,769,265,428,669,992,
542,983,453,868,829,850,436,113,589,920,159,269,048,674,892,096,244,191,886,
861,190,268,587,760,210,709,330,730,208,636,184,655,952,591,922,711,566,988,
613,381,708,806,821,539,421,720,940,834,067,090,986,430,530,960,776,351,209,
245,311,225,748,607,227,275,407,041,663,866,515,376,185,045,027,014,613,266,
830,788,439,347,987,926,133,831,511,733,782,795,882,584,518,858,250,098,115,
825,994,964,829,885,873,136,926,009,735,590,151,700,013,422,846,402,636,799,
970,608,945,860,509,178,745,798,769,443,444,659,884,619,252,510,643,911,657,
925,733,333,988,336,808,495,689,224,708,720,467,354,621,325,317,036,342,574,
652,182,998,364,827,735,110,293,797,044,026,737,032,680,454,694,126,609,513,
911,290,764,188,108,043,864,430,738,386,765,665,445,573,090,370,873,476,427,
434,611,560,497,591,119,962,470,139,645,016,094,421,801,526,702,106,006,035,
565,084,166,980,674,016,183,980,612,031,328,743,632,423,034,193,293,128,121,
198,289,404,693,205,985,243,004,537,065,178,896,854,165,154,025,817,536,373,
676,773,073,159,781,270,346,025,705,954,172,055,758,546,856,010,861,602,847,
165,319,826,540,037,220,257,768,676,443,113,942,050,342,148,962,110,400,947,
025,528,246,330,397,653,904,516,611,399,418,015,807,046,121,376,580,027,284,
799,806,191,883,463,231,123,273,534,018,901,397,067,743,209,158,748,674,125,
012,814,585,606,527,294,346,602,061,351,161,954,129,886,319,470,905,536,651,
160,752,233,722,797,963,997,484,394,260,331,723,348,945,362,353,415,123,828,
054,007,424,526,282,165,644,100,033,416,402,452,980,934,770,581,178,566,154,
854,607,600,559,804,031,471,260,539,327,843,680,904,513,376,394,855,286,956,
735,343,740,154,834,992,580,490,602,607,133,018,568,315,758,193,616,699,844,
875,315,626,606,832,295,775,974,198,556,650,527,057,942,740,906,251,916,639,
852,356,316,189,119,603,113,259,656,938,099,892,580,096,613,753,321,280,586,
724,860,163,537,263,963,920,101,622,203,038,933,404,614,660,730,212,577,387,
037,918,310,490,436,532,239,493,561,063,909,699,564,150,236,671,481,716,559,
351,739,036,657,006,732,615,022,841,814,801,659,201,865,614,515,500,999,460,
382,042,873,223,454,497,464,817,554,693,150,027,595,239,921,596,201,575,205,
167,261,371,352,998,496,610,741,414,354,459,731,440,241,378,843,045,026,164,
584,019,494,328,734,441,182,405,448,146,614,056,737,625,364,544,564,400,260,
795,395,385,708,798,773,079,013,787,725,565,157,955,899,894,300,848,821,012,
660,151,574,269,503,209,336,598,147,473,291,715,198,067,680,194,276,430,130,
489,011,574,001,163,027,103,492,703,989,082,683,933,321,428,682,534,087,886,
987,630,430,280,258,116,683,951,393,773,262,282,379,462,057,113,775,558,571,
831,795,350,413,220,900,663,048,940,888,602,372,950,550,944,293,449,417,332,
867,466,374,108,783,046,735,636,087,619,879,843,712,927,204,459,463,765,438,
239,731,628,513,245,537,755,327,490,052,352,218,288,075,765,665,690,433,071,
632,959,338,503,986,105,554,387,498,851,047,335,443,461,345,209,267,536,745,
833,844,521,180,816,197,945,851,107,887,849,550,881,395,065,270,240,293,916,
353,466,540,644,092,144,207,436,118,401,485,250,396,165,568,645,177,531,417,
727,571,582,849,417,721,653,649,575,358,312,960,309,832,004,510,925,747,710,
172,985,995,433,416,874,188,220,476,380,027,446,211,775,923,983,101,647,473,
721,358,841,071,547,978,852,133,292,836,897,645,526,172,981,872,570,801,182,
777,944,516,905,700,761,792,683,228,178,854,356,986,904,974,402,467,166,682,
793,488,532,248,031,473,848,106,301,470,764,189,625,523,320,585,131,648,773,
523,495,731,691,893,602,557,272,088,374,959,646,642,452,812,080,276,712,402,
813,546,350,484,271,747,038,641,947,314,386,535,177,603,881,302,743,743,775,
153,108,402,372,798,045,194,379,580,058,337,693,123,142,600,176,558,048,391,
211,889,327,839,200,849,998,503,382,935,112,408,447,436,327,965,497,498,449,
894,338,950,402,942,538,287,121,344,111,404,855,393,917,782,304,108,273,489,
485,871,914,920,180,271,589,308,495,968,075,259,583,415,472,354,961,663,033,
601,059,768,089,773,094,723,107,054,092,868,100,579,530,736,584,811,626,224,
310,191,288,793,347,431,606,284,281,167,797,767,284,039,412,418,712,460,061,
438,042,355,955,794,391,274,434,725,155,266,687,949,099,949,151,779,848,173,
609,558,784,170,206,013,849,304,594,516,608,130,574,276,685,933,483,266,215,
948,302,189,625,110,831,084,028,052,062,764,897,354,270,582,380,133,467,872,
899,428,968,655,364,436,447,698,075,924,427,682,820,944,028,967,770,070,986,
326,953,278,165,021,466,457,716,460,569,867,930,838,989,831,783,250,908,399,
922,245,609,151,028,118,305,706,307,618,901,857,774,549,365,522,491,524,014,
971,976,921,609,889,854,161,481,040,473,374,124,785,028,270,146,251,296,857,
452,120,058,847,364,888,404,034,314,950,134,378,973,664,972,393,952,428,260,
195,110,811,665,885,275,145,615,529,898,710,777,129,169,873,566,937,016,767,
700,868,124,336,759,012,640,510,221,840,498,201,720,427,136,979,435,781,716,
641,702,064,187,593,417,685,419,607,275,090,604,381,696,604,693,768,273,651,
724,062,513,431,714,235,249,077,082,356,072,194,666,502,533,960,563,228,578,
641,202,990,903,655,202,295,927,329,864,513,636,799,238,719,060,056,202,611,
530,597,241,436,260,379,177,692,784,810,231,752,150,044,465,948,443,067,745,
223,656,148,015,127,523,493,731,230,176,495,100,371,059,744,651,043,922,362,
738,497,813,181,800,520,179,588,691,137,181,188,053,409,046,805,778,593,140,
209,279,943,771,079,033,412,426,761,455,846,196,953,179,825,602,344,680,448,
370,685,944,528,298,282,526,864,962,747,757,163,600,317,925,924,625,114,013,
219,941,287,409,362,699,519,422,663,310,833,045,918,985,177,968,151,520,204,
673,564,677,706,754,162,005,726,811,150,747,136,445,266,593,218,812,384,883,
057,925,217,807,435,426,124,212,465,700,086,938,362,532,182,890,148,994,582,
843,607,357,795,620,599,841,210,203,618,948,519,702,424,714,552,807,718,734,
915,160,394,178,874,080,601,188,451,822,509,317,148,730,856,556,928,540,317,
564,838,912,850,470,753,992,420,637,255,757,234,416,068,731,061,501,968,548,
962,049,565,138,395,161,445,973,736,102,738,482,350,306,708,650,590,813,481,
063,950,516,994,330,620,364,799,707,091,390,735,839,455,066,941,898,749,797,
336,915,519,277,563,901,193,619,843,577,797,593,801,855,062,186,541,695,553,
155,770,408,170,649,669,996,873,439,493,320,031,185,696,708,694,615,065,552,
650,213,081,647,965,839,497,081,308,558,325,671,540,676,622,196,922,320,603,
651,557,160,586,997,829,348,881,899,020,880,554,792,767,830,444,130,781,167,
290,596,444,005,585,824,896,646,057,249,582,656,088,182,725,513,427,590,761,
425,982,258,163,774,625,857,100,893,569,648,680,021,541,789,129,063,160,947,
706,062,904,110,701,088,132,133,508,362,787,947,403,431,172,605,529,122,119,
121,644,383,136,504,540,544,415,449,816,418,556,888,988,722,967,167,585,006,
960,284,567,065,968,843,144,347,988,233,504,421,712,595,959,124,092,438,060,
061,761,261,707,046,469,699,610,247,006,008,929,103,868,057,508,629,985,521,
166,148,655,712,559,303,832,462,581,104,786,136,792,155,011,866,856,838,511,
061,161,540,361,850,826,746,851,411,035,214,082,749,649,623,212,607,635,106,
389,911,172,007,849,177,068,734,146,785,684,355,843,788,579,845,772,270,551,
189,930,028,465,122,640,077,517,062,714,690,746,887,740,052,532,211,832,377,
906,469,082,438,949,873,578,740,827,902,833,100,506,166,093,976,109,624,216,
596,401,388,975,919,345,861,588,342,752,321,479,511,779,058,777,343,988,440,
458,187,686,742,608,463,361,273,328,657,669,379,891,949,786,766,263,218,567,
754,133,149,824,423,260,990,706,032,923,645,075,042,477,348,650,660,278,975,
782,504,107,640,691,687,218,668,877,060,837,336,548,020,602,695,138,870,975,
848,744,268,546,082,333,135,169,699,649,624,790,372,965,701,985,281,726,416,
364,948,145,404,800,294,602,421,575,088,185,257,236,154,208,293,498,974,890,
597,300,174,267,577,035,972,539,961,558,117,539,785,089,992,515,366,278,789,
879,450,109,551,114,424,168,375,289,638,651,732,027,896,671,491,456,735,837,
026,901,973,762,562,379,656,900,072,044,353,364,643,950,628,910,058,676,650,
141,897,369,389,015,536,945,439,868,569,314,873,418,945,152,873,894,902,132,
621,559,363,954,411,761,435,648,747,572,910,784,372,183,254,750,809,863,877,
617,915,210,081,309,805,628,218,295,045,753,440,148,508,466,305,956,833,539,
534,542,991,299,959,571,663,173,456,661,327,742,853,424,524,599,240,877,753,
427,497,804,508,437,897,123,812,867,638,079,413,430,826,051,795,054,059,604,
955,789,277,809,990,195,935,533,585,881,644,414,708,527,254,628,904,315,648,
622,786,663,419,754,748,568,534,478,622,775,335,589,145,222,731,540,427,389,
964,994,108,899,794,757,170,105,700,159,127,108,392,549,061,660,861,405,853,
449,458,669,568,626,013,332,081,520,369,473,238,163,045,182,711,027,507,169,
588,995,773,514,434,425,804,834,463,708,924,405,259,776,679,541,714,216,325,
708,656,264,734,183,172,655,986,377,315,686,230,382,802,150,489,701,718,930,
304,307,696,743,471,478,910,643,211,913,064,095,270,631,059,215,464,101,538,
702,738,026,634,937,933,064,048,079,085,173,594,240,683,755,302,472,254,051,
181,144,077,447,510,609,835,713,566,625,198,820,402,618,410,665,919,250,734,
023,627,671,289,990,082,622,992,130,216,527,121,364,181,559,564,611,399,023,
608,611,298,387,240,814,918,876,448,989,552,576,828,020,233,560,309,799,792,
749,585,873,665,222,926,909,940,453,997,194,113,753,455,890,794,875,248,064,
933,159,775,499,327,117,110,245,955,693,357,370,008,692,167,468,274,699,813,
294,611,381,597,872,407,943,374,167,496,646,860,039,116,109,892,633,360,699,
195,312,364,480,432,898,018,094,463,908,147,781,292,752,277,238,077,501,018,
145,480,641,565,000,321,963,431,704,692,312,899,325,110,515,891,015,693,654,
769,419,652,230,621,251,677,768,011,883,275,313,490,873,261,413,499,951,061,
889,667,543,250,785,287,800,736,692,260,220,789,862,347,978,933,312,941,879,
085,288,468,265,878,099,073,499,795,110,282,836,421,581,076,939,328,134,141,
164,099,596,125,320,189,543,524,710,667,067,876,921,958,155,804,142,741,117,
997,247,747,287,779,981,126,329,090,673,008,986,235,906,937,949,807,480,893,
846,594,853,397,277,669,845,032,145,674,406,928,752,118,274,474,444,151,812,
435,565,247,337,450,122,963,631,032,152,832,946,534,714,282,917,492,434,883,
064,528,239,704,354,538,365,223,157,372,475,050,019,130,250,490,441,880,793,
854,699,184,202,549,148,548,374,985,919,621,397,588,252,714,265,465,306,560,
654,039,058,602,229,969,542,302,621,529,435,154,994,381,532,924,194,880,836,
131,486,520,569,593,105,228,580,309,347,628,710,815,450,662,855,726,592,177,
820,761,087,807,566,056,752,380,352,551,921,373,736,103,759,894,985,442,637,
294,829,204,563,565,919,639,726,311,659,201,131,353,106,176,293,943,459,037,
362,529,343,264,904,298,704,962,777,708,288,681,227,667,087,941,879,446,120,
232,565,918,155,818,191,137,003,974,510,259,487,640,035,065,533,176,059,664,
333,874,176,050,253,787,592,396,189,697,102,837,715,800,661,449,659,337,531,
689,578,074,486,918,729,284,302,125,559,385,129,611,787,558,533,822,731,670,
478,932,919,718,351,278,846,276,605,960,586,383,831,061,277,114,901,837,987,
471,973,875,968,695,583,692,199,285,625,341,647,896,938,749,337,744,658,174,
587,699,212,448,780,723,579,451,514,015,847,862,444,830,439,177,443,911,360,
610,240,193,650,542,374,391,795,242,620,241,001,448,601,431,648,745,992,657,
729,864,629,471,978,356,589,169,729,483,711,747,165,924,616,246,042,534,698,
831,903,161,315,390,743,239,135,352,566,090,519,312,591,834,616,726,339,164,
644,078,348,042,272,151,381,449,122,080,440,222,641,287,151,218,229,094,107,
402,365,153,752,324,121,490,089,822,464,296,529,429,736,471,404,123,193,740,
241,506,320,142,405,801,037,128,653,501,779,397,751,323,242,825,316,883,315,
850,156,184,302,753,276,661,531,663,937,020,593,866,196,051,746,249,944,774,
330,003,898,464,716,767,673,308,184,092,555,986,620,647,428,208,237,001,247,
108,049,551,662,680,715,744,821,758,062,409,649,650,864,046,663,495,783,469,
132,294,023,438,713,019,878,406,044,728,696,617,105,247,409,744,945,108,912,
042,560,974,800,094,525,533,041,680,733,698,934,846,267,343,051,693,432,864,
038,994,993,876,800,266,211,342,357,244,314,699,968,369,391,765,504,437,512,
219,356,675,875,608,167,117,786,045,406,599,043,675,180,636,690,619,749,922,
998,988,889,463,283,989,966,417,791,795,323,758,251,178,046,411,943,298,178,
295,384,129,031,196,731,005,157,527,678,358,806,165,131,940,963,200,142,459,
066,599,589,186,749,201,842,798,419,921,707,632,404,255,240,522,757,455,720,
190,145,042,244,781,429,875,157,073,733,154,431,595,160,889,153,958,675,432,
723,408,189,562,472,244,192,986,961,705,320,030,996,524,761,025,995,825,553,
072,647,725,405,040,705,900,416,044,677,607,826,181,785,653,913,010,400,150,
359,223,932,760,728,932,106,322,297,176,113,655,177,488,271,567,350,561,197,
807,990,331,745,303,638,315,556,346,790,744,892,473,399,391,086,551,241,342,
748,353,381,628,227,712,003,139,429,257,077,508,216,016,462,594,987,067,974,
568,288,193,617,234,015,589,822,998,940,210,241,773,946,515,831,321,782,822,
986,949,349,220,992,642,904,452,161,890,647,735,170,805,706,480,944,543,296,
404,671,289,458,026,284,944,683,486,667,698,630,298,265,480,598,544,003,144,
056,836,314,051,315,721,976,863,573,597,210,112,984,878,395,489,882,291,994,
680,535,265,202,230,262,283,020,945,465,065,007,979,400,137,877,690,617,209,
994,375,425,611,978,257,342,588,499,920,476,590,901,523,142,294,130,358,310,
193,908,233,674,272,824,724,237,563,321,836,037,265,260,657,313,789,256,403,
677,354,830,674,755,000,334,786,248,414,286,582,028,157,876,332,418,052,804,
296,902,461,893,896,923,219,313,850,458,844,692,354,599,293,884,088,470,021,
301,569,490,041,653,248,593,621,379,417,741,442,439,381,468,052,606,778,205,
430,480,068,190,974,377,725,158,050,053,475,192,229,908,666,595,639,170,028,
430,007,932,161,381,902,760,013,920,477,545,708,359,656,077,748,680,835,122,
406,225,629,754,040,473,370,170,859,263,376,376,726,525,519,370,603,190,625,
618,781,007,248,945,941,803,225,665,471,385,471,495,966,016,145,834,940,258,
494,233,318,959,981,223,755,602,952,047,741,427,391,189,599,083,434,832,147,
608,434,691,420,455,067,465,919,469,626,602,691,610,723,196,754,198,524,917,
182,697,278,496,235,709,178,507,986,545,586,292,060,670,285,667,248,884,594,
373,674,438,413,913,468,524,451,885,105,420,120,692,954,185,816,116,762,329,
226,977,589,764,762,148,190,108,447,968,374,366,630,545,265,766,898,458,428,
086,142,008,174,559,865,743,433,462,098,567,095,915,991,190,157,327,372,591,
902,366,441,291,220,531,105,272,967,008,027,601,280,220,076,242,839,796,126,
207,158,060,264,830,141,785,682,157,204,885,805,132,811,473,351,369,418,237,
317,073,752,844,098,895,641,375,662,901,555,162,281,470,327,025,243,619,302,
434,431,676,933,803,082,969,143,210,255,247,095,066,112,041,441,057,528,134,
972,978,559,654,847,827,963,919,894,753,934,400,001,886,533,346,345,292,171,
008,064,878,513,071,600,369,450,673,957,359,383,507,075,306,652,749,005,523,
910,911,670,872,615,612,425,679,563,424,393,932,095,436,983,755,839,977,960,
760,668,024,347,069,769,957,556,679,708,300,235,020,835,326,704,097,367,969,
841,172,352,985,608,355,509,682,546,503,459,051,562,852,657,115,961,107,569,
356,130,282,490,179,921,410,180,199,646,700,971,008,307,771,159,496,670,279,
284,714,948,899,674,143,925,036,664,323,193,955,980,885,208,728,975,192,389,
718,605,351,113,150,429,367,735,174,215,442,563,125,191,601,212,168,143,838,
204,341,424,875,908,151,675,777,848,141,131,318,136,464,073,391,610,990,491,
956,758,968,136,579,338,572,873,873,616,979,278,616,245,433,387,343,947,798,
025,925,733,568,250,888,920,928,737,828,991,531,635,952,767,351,930,139,144,
535,159,955,083,153,343,209,231,252,178,929,709,373,134,607,407,818,410,798,
633,296,047,028,036,758,726,920,282,657,628,092,786,969,217,072,564,353,910,
374,075,668,721,764,989,061,934,901,473,842,990,895,419,968,959,805,983,052,
212,298,838,457,788,038,841,936,839,700,528,501,325,259,941,260,645,891,624,
725,581,132,280,496,640,990,114,495,765,141,322,994,202,752,184,302,238,591,
416,013,150,722,106,093,796,159,032,920,153,965,853,637,784,875,487,117,360,
004,774,973,955,229,023,490,003,910,421,451,382,879,070,145,796,453,177,365,
978,331,375,452,346,383,480,479,589,877,935,395,922,222,860,626,347,373,857,
196,269,963,353,691,490,177,956,630,439,840,261,607,854,840,093,601,564,687,
778,428,157,356,187,443,366,662,459,656,423,100,434,220,271,218,896,405,890,
688,650,345,695,641,514,429,086,845,510,143,901,747,393,337,827,367,265,136,
890,035,939,687,122,063,145,116,861,732,157,445,880,574,722,821,922,597,579,
964,439,735,610,703,813,046,389,100,220,954,983,534,552,471,643,735,760,216,
172,215,884,915,314,764,818,576,722,985,375,225,551,154,646,962,251,972,169,
777,385,042,723,367,471,858,211,452,391,324,082,963,758,849,890,987,621,174,
410,178,332,548,137,668,321,983,358,474,018,008,778,315,436,219,967,672,505,
538,522,419,652,536,551,023,398,478,960,584,039,737,802,930,353,999,684,620,
540,829,511,548,905,247,972,383,024,996,333,608,973,626,554,427,533,906,588,
073,426,990,464,112,403,771,485,633,705,117,194,068,821,142,049,488,354,077,
867,526,497,662,572,783,640,435,873,308,343,876,878,933,785,939,233,191,630,
412,088,312,981,965,636,148,862,763,399,266,818,969,806,193,389,120,734,058,
539,454,084,938,637,296,429,794,769,308,254,789,541,248,553,899,839,754,890,
875,974,669,340,427,248,218,744,171,381,669,980,671,059,315,259,916,496,536,
975,866,701,616,502,638,256,941,846,234,475,820,389,382,995,842,290,605,731,
125,478,241,904,331,785,132,724,447,302,037,260,352,394,633,305,341,163,265,
852,138,705,040,788,979,627,687,109,451,357,688,575,080,140,281,808,266,510,
606,357,608,391,921,168,781,367,339,301,054,759,041,233,744,864,280,419,840,
120,596,559,527,682,994,820,198,333,875,429,282,659,552,562,943,806,654,389,
988,020,413,926,764,451,862,214,709,533,604,592,836,639,845,955,023,783,325,
866,448,506,176,300,257,401,392,607,040,158,572,282,471,643,198,594,311,736,
548,219,863,197,793,600,160,755,446,125,551,226,999,789,383,339,298,251,320,
431,715,436,286,322,452,166,881,131,237,001,632,991,242,984,991,440,190,020,
984,467,384,592,863,406,223,782,301,019,560,254,421,551,501,100,868,321,913,
975,254,620,869,188,503,458,244,688,775,059,029,108,517,345,005,463,881,731,
162,812,555,203,119,264,598,275,426,949,234,358,186,734,705,539,891,604,459,
547,411,227,873,201,988,568,580,165,621,991,655,179,471,563,368,706,761,227,
926,455,563,212,507,703,902,244,237,146,084,022,354,842,085,988,202,994,025,
661,308,879,139,721,622,715,487,211,033,909,048,944,419,896,147,539,128,841,
783,067,551,550,973,524,121,557,170,302,054,421,558,001,858,728,848,435,656,
240,867,507,291,655,820,527,226,431,979,415,979,326,597,451,737,164,174,950,
221,710,524,073,099,353,260,414,342,706,936,581,910,579,310,385,481,230,144,
464,575,219,890,270,353,855,373,389,786,179,218,401,861,389,618,254,748,374,
204,544,709,768,839,583,307,037,627,561,402,751,575,144,729,374,857,161,752,
279,233,679,461,479,489,798,714,430,557,971,233,844,690,601,001,181,528,729,
298,349,633,099,755,853,581,538,200,125,458,682,132,828,635,826,039,711,801,
365,701,782,032,152,278,086,250,335,485,436,506,222,933,516,546,892,107,294,
941,890,693,585,192,134,039,447,280,026,388,947,689,197,968,587,555,806,102,
581,748,647,072,664,347,233,442,150,368,480,080,011,807,735,740,400,322,165,
548,417,850,020,601,622,143,333,364,916,699,367,480,872,930,295,547,364,380,
976,312,660,675,962,626,110,153,486,973,203,175,900,280,973,372,951,267,883,
714,506,934,949,708,724,167,286,198,107,390,176,999,611,920,494,906,602,529,
349,167,651,731,680,749,942,868,850,234,234,970,437,540,894,626,247,593,681,
679,015,626,878,863,405,925,203,534,321,797,303,960,726,627,458,378,997,555,
874,223,418,947,147,986,303,597,281,016,491,573,921,240,521,998,850,230,161,
986,305,001,871,633,454,795,728,220,453,321,687,080,254,444,430,727,742,067,
180,173,389,804,559,450,848,934,939,380,578,054,326,518,284,119,408,147,676,
525,365,650,890,711,314,314,817,116,085,524,037,532,662,970,915,684,398,785,
252,720,116,522,404,226,337,351,475,092,371,610,848,865,844,953,654,146,872,
769,506,358,040,036,545,495,455,114,703,717,214,165,788,042,205,923,120,270,
130,333,802,567,867,712,004,716,586,826,368,681,414,975,688,488,078,302,569,
534,407,642,169,625,621,345,850,396,585,041,850,346,890,279,965,904,819,941,
276,122,662,813,923,195,461,916,963,863,572,386,829,421,730,389,022,113,541,
348,018,548,999,694,801,110,657,144,055,152,027,297,362,207,023,484,104,892,
150,749,188,792,984,451,890,019,014,035,804,466,424,165,560,863,220,559,342,
327,881,216,779,630,135,198,948,683,608,747,998,038,745,176,263,935,589,199,
078,964,929,261,709,584,675,341,531,959,972,009,091,055,671,380,178,999,691,
887,788,695,020,631,523,161,050,729,278,983,397,439,706,494,057,904,671,075,
858,653,078,683,665,118,851,168,206,744,470,399,836,296,387,297,768,133,372,
011,278,127,818,036,480,962,186,953,031,556,007,996,348,395,151,520,273,671,
256,349,848,780,953,399,108,539,321,264,714,989,265,922,940,035,093,540,512,
905,080,805,807,984,698,918,611,263,610,721,053,775,191,884,379,313,212,419,
716,785,531,555,387,482,096,724,513,915,319,132,957,618,121,132,602,773,146,
787,771,893,753,428,113,701,890,764,904,935,154,479,142,872,196,901,328,032,
596,877,370,544,584,904,080,861,728,016,879,252,002,802,343,816,031,607,681,
181,271,681,282,084,152,895,756,035,862,104,586,223,080,311,813,073,325,858,
866,971,820,175,855,465,141,914,816,621,160,237,458,315,101,155,309,401,561,
961,717,458,955,488,276,479,903,579,808,361,004,856,732,342,404,066,163,083,
029,102,210,123,324,633,439,655,896,294,762,144,110,908,742,549,297,537,439,
385,345,853,265,024,438,030,823,356,831,866,763,131,566,275,226,625,092,426,
010,274,659,049,812,683,620,170,365,615,234,620,246,442,823,528,096,026,830,
049,465,086,414,817,703,570,402,699,628,218,227,553,183,465,398,049,547,144,
824,540,645,354,161,169,611,756,483,565,869,334,233,356,705,824,563,175,660,
447,428,022,321,080,285,154,487,277,535,309,365,358,884,604,453,013,395,301,
223,628,546,360,305,529,038,768,654,693,038,815,559,757,433,329,803,386,316,
194,539,425,225,922,084,858,826,066,044,868,799,700,582,143,027,588,886,128,
254,832,257,845,127,490,042,414,067,008,820,134,969,633,853,101,746,404,328,
442,424,590,738,992,326,337,809,526,833,713,364,814,741,653,433,702,539,524,
757,028,982,771,702,283,435,417,492,893,458,534,732,379,991,661,653,385,629,
976,448,187,943,293,539,996,968,205,753,912,559,324,413,125,352,458,623,787,
145,934,758,803,133,645,624,630,941,750,880,632,487,496,002,371,030,076,643,
028,321,499,643,191,140,469,904,129,008,313,079,553,487,115,677,059,916,444,
319,968,120,418,838,583,687,528,548,205,412,195,328,913,218,867,098,386,905,
676,304,172,125,838,531,291,443,066,953,080,729,596,196,174,703,539,112,925,
268,769,177,702,614,321,246,495,905,216,475,223,210,340,768,017,129,342,474,
081,861,222,735,739,780,285,589,859,471,875,501,365,358,516,358,238,605,953,
294,270,418,643,240,686,651,232,072,914,485,366,591,032,952,476,060,201,007,
159,885,576,629,405,399,857,505,902,722,059,630,916,283,386,169,205,884,724,
240,196,639,015,568,323,430,876,972,474,768,620,547,903,286,582,405,339,421,
690,057,773,619,083,151,521,064,073,794,823,118,819,970,011,652,211,582,143,
888,183,781,259,409,381,774,543,162,955,513,782,483,224,162,007,758,635,038,
952,100,369,668,958,859,470,164,319,075,727,627,252,000,596,819,477,671,239,
490,138,925,843,165,270,701,054,415,106,924,563,882,185,949,410,249,527,966,
977,101,669,579,211,841,070,494,823,204,671,629,561,913,197,437,838,584,235,
567,584,652,556,576,880,057,863,868,975,832,168,186,460,055,970,998,310,418,
891,245,037,775,561,859,673,584,835,000,112,512,542,404,220,102,241,126,827,
086,452,683,382,002,870,160,332,917,718,075,328,534,682,957,099,525,762,113,
396,939,359,532,379,852,026,550,221,091,483,686,180,048,809,195,495,948,130,
814,116,973,626,875,488,367,145,743,220,412,555,580,430,125,919,341,318,216,
846,832,980,806,655,362,797,988,637,425,139,965,695,892,266,179,548,018,095,
383,409,170,715,221,383,950,636,797,129,511,901,356,453,588,587,245,281,865,
706,006,523,930,375,921,750,266,069,039,332,745,681,254,369,971,014,722,164,
234,388,209,827,691,246,524,112,126,235,221,722,852,353,452,370,821,983,283,
177,810,984,043,684,643,838,670,054,357,414,540,559,536,346,965,351,807,363,
232,749,152,324,543,519,659,413,895,070,197,374,593,888,862,181,496,914,901,
972,080,053,171,614,799,802,631,790,198,941,907,636,757,412,896,500,448,877,
758,311,392,496,402,667,738,080,652,841,809,166,166,218,840,429,036,005,450,
820,189,579,302,319,956,044,738,422,057,928,454,535,921,017,219,109,343,729,
574,448,476,604,949,269,814,459,135,659,451,218,472,622,477,660,912,826,687,
857,604,875,038,092,040,849,112,614,365,074,569,287,500,197,957,332,220,570,
880,729,435,791,576,362,240,640,289,204,634,540,573,852,426,763,207,743,757,
117,444,834,575,963,769,754,812,530,881,335,360,429,524,634,592,386,785,043,
128,954,094,446,054,047,772,935,483,612,155,371,727,035,009,058,287,436,735,
238,670,358,818,747,052,017,765,043,316,713,106,425,591,798,350,597,812,886,
504,398,955,780,004,589,695,136,291,262,987,987,071,816,765,230,933,873,242,
197,300,138,288,966,056,261,012,703,492,324,361,427,990,222,680,639,970,181,
126,053,395,618,037,136,336,001,072,272,683,978,936,202,096,914,479,465,887,
324,380,954,101,278,991,418,770,144,659,424,471,428,063,804,706,642,083,884,
773,698,664,025,914,460,681,777,212,531,507,815,530,030,187,682,560,481,685,
528,613,645,105,443,127,227,149,746,178,186,465,344,165,654,121,504,655,954,
848,111,131,607,079,659,865,577,986,635,283,248,297,542,162,738,089,853,566,
300,488,331,827,185,097,983,406,707,423,633,746,571,111,783,301,613,072,506,
623,378,870,445,408,069,427,397,969,061,972,395,979,273,647,391,890,734,805,
935,122,416,141,008,674,365,604,937,986,246,667,789,397,896,557,466,997,650,
479,628,404,018,331,426,879,785,436,707,104,510,632,485,406,474,062,781,799,
666,686,232,520,149,458,708,218,808,251,119,364,784,116,576,521,788,705,028,
368,111,636,816,434,654,610,258,488,176,325,926,081,302,360,783,860,532,221,
732,284,786,215,192,091,397,241,845,451,880,802,914,093,959,710,909,968,695,
630,950,664,146,029,500,241,225,538,991,333,497,216,393,547,925,094,987,416,
914,211,259,635,857,052,422,889,921,600,979,571,750,668,446,310,600,568,743,
512,912,802,470,817,693,981,123,994,187,715,746,111,191,508,653,491,551,297,
529,471,486,314,470,500,902,593,762,152,069,904,889,329,966,550,470,315,104,
653,167,458,214,650,936,237,455,474,189,415,535,934,652,028,595,256,982,093,
655,392,638,735,436,108,649,073,885,033,471,388,806,013,315,314,544,507,078,
629,109,099,835,174,363,130,839,971,230,005,980,234,432,191,126,382,598,265,
542,351,404,203,883,153,234,430,313,319,698,107,419,006,818,996,550,344,435,
977,329,296,400,313,476,835,821,444,042,518,589,327,907,828,684,657,940,919,
610,554,644,482,930,115,034,493,312,485,493,817,490,768,575,468,464,783,984,
690,461,908,025,088,117,799,831,032,358,361,523,850,084,516,340,649,333,849,
004,302,220,440,371,574,560,587,857,486,162,890,912,418,143,760,948,932,090,
645,042,613,953,074,971,948,046,101,267,969,036,037,311,050,291,556,095,896,
806,635,590,870,656,284,437,409,130,975,477,142,268,931,120,901,291,382,203,
279,481,852,059,837,214,429,642,943,138,940,119,832,681,853,058,194,987,253,
993,735,008,233,438,846,553,116,998,103,476,466,107,987,563,455,522,333,630,
531,671,222,708,700,351,436,297,658,401,090,435,083,131,956,471,518,913,449,
683,706,328,045,976,729,877,037,151,492,210,041,061,146,343,480,500,463,689,
488,025,723,835,694,367,237,358,343,490,159,469,169,210,600,739,206,047,137,
459,247,240,557,076,901,123,763,228,248,409,539,865,578,788,930,906,234,694,
316,364,261,564,835,515,776,121,401,675,984,246,527,650,281,026,887,645,268,
739,366,720,511,571,599,687,845,156,670,712,673,499,128,833,889,269,710,754,
825,707,549,330,979,182,915,981,075,847,065,081,345,395,872,651,860,301,645,
710,733,854,541,811,540,772,731,124,780,579,210,161,505,546,118,022,186,302,
342,545,232,772,488,226,884,296,738,494,593,655,299,424,180,502,532,246,007,
044,140,943,262,153,474,936,681,418,469,999,499,634,410,187,228,797,001,347,
657,811,849,350,137,488,046,420,266,640,516,823,349,312,025,127,427,229,337,
173,620,700,742,150,328,289,096,674,999,036,085,253,118,517,157,648,301,091,
480,746,212,835,959,428,761,815,658,874,719,989,846,448,386,394,455,576,061,
042,753,276,704,341,590,099,907,322,930,835,529,921,219,517,652,242,896,513,
242,830,418,131,702,261,930,387,640,625,193,275,836,207,669,748,217,718,084,
756,306,733,163,138,642,163,365,413,283,825,431,918,526,377,939,202,060,703,
864,316,645,069,719,975,120,324,957,367,251,193,419,581,764,382,827,922,952,
421,943,075,308,400,046,791,420,465,630,337,082,427,766,686,980,817,229,975,
770,577,813,234,372,890,525,292,661,464,419,380,688,245,181,171,586,904,965,
843,052,002,733,421,789,028,075,742,289,063,667,232,461,659,565,935,358,533,
914,687,512,983,986,148,508,765,073,902,592,125,121,618,608,294,091,524,445,
739,172,162,399,618,167,052,366,691,654,409,458,903,067,570,666,452,827,917,
670,653,987,341,387,682,682,958,872,490,584,288,380,451,629,317,642,358,664,
985,382,194,338,757,279,163,634,229,374,899,713,293,336,036,059,134,568,101,
660,210,091,177,059,516,641,622,246,762,889,983,495,061,995,854,998,092,324,
988,207,357,488,896,328,892,745,221,697,800,194,419,724,147,131,803,991,099,
537,691,959,648,679,192,066,966,291,116,844,043,786,906,772,885,892,814,252,
128,858,620,709,013,345,033,721,072,757,341,309,505,872,946,618,011,720,062,
528,648,023,715,137,813,565,774,854,326,763,978,965,392,401,204,065,425,903,
830,008,378,859,211,993,744,368,806,421,872,734,387,076,285,974,717,224,952,
972,903,730,313,418,290,037,745,098,151,810,457,706,534,486,453,231,980,096,
811,844,492,627,436,796,620,188,058,321,970,530,603,602,529,155,537,480,602,
583,170,655,913,515,622,378,234,254,373,660,265,025,236,416,197,067,993,156,
411,209,564,031,531,196,323,891,671,557,094,926,981,295,028,282,693,694,700,
448,663,310,938,209,132,941,247,392,991,529,245,265,704,460,031,831,134,315,
191,002,382,493,048,609,919,352,705,574,394,204,982,811,546,765,287,853,873,
061,634,686,399,332,990,972,062,894,693,313,626,198,763,623,854,500,036,574,
301,929,661,234,642,657,230,753,345,187,498,383,348,889,288,623,192,111,685,
040,548,823,749,312,408,324,808,257,360,210,525,586,396,993,604,839,158,857,
368,161,037,253,018,390,895,966,845,772,051,050,817,659,481,906,531,799,143,
177,268,249,818,150,735,444,330,403,980,376,772,983,905,686,715,810,815,051,
986,084,905,602,885,578,278,750,734,769,865,418,163,788,501,376,150,387,209,
764,066,103,740,870,842,682,506,511,598,474,144,027,865,501,925,120,461,232,
180,160,362,022,306,498,372,231,821,362,664,846,333,950,283,082,180,375,375,
603,070,617,272,927,601,843,950,580,274,166,500,761,474,302,589,865,637,759,
516,602,911,219,145,743,722,124,150,860,637,099,665,215,897,594,033,866,308,
027,518,564,085,372,938,479,344,939,920,522,127,463,414,541,540,773,119,933,
052,909,355,722,274,741,753,700,267,976,394,585,018,089,053,237,770,061,323,
744,344,751,914,675,384,757,258,959,559,828,687,724,633,730,087,666,751,959,
668,995,780,938,655,532,850,896,502,307,197,280,362,935,147,546,384,016,546,
641,740,944,479,389,817,543,434,014,787,539,190,363,023,598,457,369,932,778,
724,065,049,282,493,467,023,268,395,443,479,555,155,931,851,963,005,176,950,
747,593,753,294,410,858,810,178,831,075,918,332,938,869,309,356,096,724,025,
167,548,877,449,388,961,216,943,353,696,361,958,214,223,009,720,508,491,331,
427,610,258,010,331,798,373,662,673,472,281,060,457,826,434,223,463,241,926,
090,079,057,608,065,338,451,197,141,387,201,491,274,877,207,318,589,567,508,
586,456,852,891,891,541,521,235,096,083,340,431,253,137,458,341,922,422,557,
132,740,758,621,723,221,933,162,238,214,063,505,049,577,884,531,079,455,696,
002,880,474,871,023,126,593,359,194,488,046,692,986,342,805,522,902,772,429,
480,044,483,980,322,066,005,936,365,683,440,516,151,586,723,045,348,603,782,
931,314,815,980,381,533,949,422,799,327,539,180,812,247,102,852,207,679,823,
247,592,841,822,665,206,102,000,886,570,195,202,338,059,229,754,098,539,315,
161,882,231,509,838,370,356,810,930,722,829,573,224,618,536,623,865,372,977,
428,848,166,525,247,883,093,813,193,369,307,890,162,141,697,787,580,942,863,
547,194,690,691,671,157,552,817,585,924,692,314,889,278,017,786,384,948,007,
319,399,102,148,564,820,510,298,569,250,458,035,705,518,383,231,553,731,853,
839,574,957,362,278,738,476,042,904,757,758,266,422,972,005,984,521,431,766,
789,670,670,315,862,851,992,103,097,403,725,883,019,079,380,527,517,257,225,
493,394,575,253,179,852,758,385,873,008,534,952,137,284,706,665,007,395,688,
826,894,469,847,866,523,063,618,720,814,360,688,565,406,977,986,455,289,658,
573,130,967,989,110,758,233,395,987,354,331,434,349,438,918,127,800,073,591,
903,846,503,018,704,888,258,343,719,596,094,992,711,954,260,564,748,822,567,
562,195,312,662,690,519,271,527,487,499,020,295,392,239,715,239,369,161,038,
558,076,113,265,003,056,070,826,412,531,780,603,646,910,173,004,134,874,398,
370,919,009,992,985,525,206,315,759,322,066,868,524,155,667,472,835,917,670,
104,189,356,224,053,619,878,875,838,068,639,071,725,491,878,836,327,508,968,
541,447,486,325,148,485,524,448,884,042,496,950,448,326,821,282,646,865,419,
424,489,110,980,716,035,750,378,080,814,112,517,723,431,775,996,633,689,732,
064,231,541,416,255,173,949,978,620,758,264,454,226,589,147,512,179,662,074,
788,104,339,628,946,194,205,905,232,869,273,495,633,361,628,856,377,336,754,
703,783,518,586,132,270,462,753,510,487,851,379,181,787,724,755,367,205,041,
114,390,648,840,767,332,621,016,872,286,082,109,582,304,861,010,121,895,344,
380,971,466,251,593,484,514,194,068,959,305,309,391,003,647,150,759,647,376,
924,301,317,770,897,408,289,201,151,238,730,960,520,262,575,592,211,286,245,
975,587,988,090,778,919,550,665,497,124,574,256,072,763,121,290,600,919,116,
961,518,902,501,048,729,534,024,525,741,854,499,091,592,680,653,612,077,695,
098,028,639,281,596,471,958,376,252,640,081,412,519,725,943,803,331,372,785,
743,003,547,139,901,121,905,553,600,843,005,336,695,974,906,711,323,978,036,
846,306,363,828,402,877,359,533,226,458,915,606,288,715,088,836,880,468,172,
729,643,751,112,141,594,799,308,241,776,260,551,208,460,938,521,236,944,225,
886,915,151,720,598,006,041,982,290,574,276,053,959,130,862,935,384,841,262,
464,773,440,060,163,387,600,347,564,959,345,002,101,138,064,768,234,763,101,
134,302,145,161,423,875,617,050,822,567,398,625,021,252,301,768,442,295,308,
206,158,990,786,791,514,566,566,477,106,690,705,669,990,734,614,507,909,111,
809,268,972,221,328,725,661,343,984,608,378,863,292,135,241,762,511,156,287,
739,706,996,780,542,717,263,165,919,255,706,895,616,561,910,940,729,037,311,
159,639,276,505,633,562,267,882,924,501,192,761,338,150,561,990,829,605,176,
322,891,843,404,495,198,008,191,625,332,436,694,409,482,179,246,586,106,320,
351,706,093,872,705,846,613,566,164,795,641,889,555,274,930,454,294,071,272,
087,660,651,782,056,813,909,100,198,284,296,688,886,666,039,443,988,673,729,
480,872,419,350,426,104,227,852,126,120,975,238,934,339,918,550,287,534,042,
416,398,083,180,382,687,529,974,205,447,575,330,452,808,329,223,088,896,091,
387,437,668,010,832,797,409,089,115,698,285,627,443,013,231,621,985,378,626,
591,478,485,978,355,310,225,388,112,795,694,112,121,248,958,898,791,200,084,
469,268,625,608,896,695,310,317,638,831,277,101,356,423,705,307,339,870,822,
492,870,763,487,519,518,654,962,826,628,122,695,895,339,417,373,900,395,079,
396,288,347,384,766,114,222,039,363,845,857,671,316,317,771,704,798,616,272,
383,667,365,597,472,421,161,753,473,887,727,062,426,497,310,622,285,052,124,
627,500,286,279,575,659,146,429,810,732,768,994,831,440,613,589,610,857,714,
269,972,133,827,969,166,921,963,825,985,939,341,906,300,038,232,499,700,616,
150,057,225,572,208,648,401,763,434,445,555,557,471,085,742,543,200,545,217,
964,527,899,884,912,437,884,940,829,357,867,073,206,823,704,082,863,143,734,
385,996,201,224,545,111,397,120,902,014,024,341,542,851,785,009,007,440,134,
469,092,032,936,430,254,035,469,967,088,633,162,406,867,248,267,032,797,101,
720,537,281,693,695,531,316,378,149,490,571,289,778,032,226,858,359,110,068,
047,063,997,271,978,549,397,573,721,136,286,947,545,516,689,779,623,262,507,
616,216,408,211,741,462,332,617,974,584,378,774,870,130,022,597,766,974,967,
076,580,549,810,998,076,496,834,645,889,026,091,842,178,917,056,033,474,084,
889,803,746,246,307,767,882,762,592,859,019,063,013,977,078,281,312,489,177,
446,126,144,459,233,098,920,920,613,612,578,002,618,740,589,686,169,252,649,
300,580,924,943,207,959,044,194,406,330,093,326,447,441,011,926,218,918,613,
563,029,941,985,354,120,684,230,367,722,429,864,323,814,177,358,986,933,618,
703,445,129,559,967,164,312,214,213,527,620,143,890,710,838,643,706,863,704,
880,327,222,827,591,570,185,289,599,644,350,060,237,588,682,259,691,839,445,
440,564,955,153,211,921,124,372,213,021,131,048,076,011,680,273,648,536,162,
506,125,336,273,904,892,715,847,791,064,632,601,732,331,537,992,627,181,335,
647,156,347,850,003,240,718,768,271,960,975,635,284,608,171,806,898,504,243,
951,218,540,534,963,508,976,530,503,332,762,918,844,113,339,172,183,707,321,
786,984,597,901,962,283,662,285,380,927,712,209,668,096,348,060,076,074,613,
535,313,119,292,395,782,702,073,397,325,059,499,743,958,996,130,915,996,733,
839,403,222,838,685,933,725,050,013,116,366,625,373,494,890,909,704,377,451,
017,565,500,299,933,389,376,045,996,119,050,622,412,683,370,563,332,699,432,
883,355,983,662,278,985,730,963,973,208,269,726,665,719,395,534,083,995,423,
428,281,765,973,508,788,218,866,614,583,818,513,332,201,440,157,427,989,771,
047,034,642,544,382,394,633,050,474,224,015,180,901,670,026,813,102,784,173,
811,706,269,242,282,952,758,094,351,720,542,681,802,272,955,635,782,578,627,
605,180,376,569,139,436,212,854,389,538,815,503,369,685,436,119,478,339,822,
955,559,657,575,575,482,840,614,966,053,206,181,820,730,080,741,338,823,111,
651,829,095,882,439,750,993,871,830,073,469,569,547,458,360,003,276,986,309,
036,513,187,867,287,522,306,082,080,745,465,735,186,675,323,046,471,067,970,
296,166,286,304,262,851,911,551,654,499,846,871,888,771,312,783,098,211,393,
614,073,011,443,657,295,327,838,925,792,653,415,022,602,777,497,544,136,078,
564,583,510,832,697,700,087,299,961,061,347,503,376,225,574,810,983,085,955,
889,777,003,829,067,573,424,767,050,950,913,229,486,373,962,895,219,276,970,
900,552,160,862,746,145,947,519,983,466,045,316,913,311,284,518,429,612,601,
885,978,204,418,301,933,347,222,142,746,280,247,672,404,083,373,339,240,745,
487,578,587,613,004,483,603,125,853,264,425,979,172,149,058,072,095,005,508,
477,707,979,691,383,951,719,407,009,052,121,660,933,033,166,234,867,168,666,
056,645,562,613,020,143,198,633,972,817,944,887,363,889,000,932,530,438,875,
859,960,199,880,940,337,721,657,151,636,803,829,024,863,517,108,264,093,978,
075,379,518,645,719,291,291,858,786,007,503,392,729,995,507,121,089,408,002,
680,583,683,365,657,271,290,463,199,217,653,192,265,145,913,968,772,323,852,
976,643,498,015,520,631,390,585,769,906,067,818,689,468,585,514,577,515,137,
706,300,177,055,919,372,437,332,018,743,370,189,525,607,613,100,929,277,688,
176,326,578,119,654,978,259,509,880,499,634,033,514,959,902,730,699,116,349,
857,095,107,257,911,110,871,169,452,179,180,676,257,987,674,074,146,534,003,
747,486,828,483,454,683,696,460,167,346,245,932,104,197,302,036,262,550,560,
018,238,839,221,924,354,162,006,226,947,497,437,143,094,772,102,304,231,361,
592,733,076,684,775,078,410,398,621,404,678,954,009,853,607,351,563,516,944,
331,412,186,724,338,212,840,109,350,112,999,824,459,296,667,244,244,478,499,
951,014,106,213,559,421,623,291,766,092,049,781,879,261,303,836,520,178,738,
413,290,369,066,936,726,727,031,351,203,632,938,329,786,542,258,333,024,395,
601,957,414,565,810,858,884,382,280,160,831,601,681,879,291,117,340,630,591,
479,388,327,899,666,580,152,878,525,779,774,858,579,556,902,384,523,571,900,
443,642,277,965,989,570,754,918,721,000,684,975,223,837,324,195,090,263,150,
851,568,408,584,050,519,603,231,248,196,079,528,321,312,099,352,455,833,848,
029,507,710,549,453,590,340,902,104,317,571,313,158,753,046,128,636,263,722,
268,714,392,918,881,093,719,632,212,070,741,514,051,543,755,309,706,607,013,
383,105,287,826,344,757,989,454,870,002,291,312,229,877,368,888,700,860,367,
373,082,176,173,331,026,398,398,620,651,102,712,412,592,341,458,584,313,876,
347,556,640,862,940,059,433,249,907,373,516,981,676,362,487,927,569,309,999,
237,542,010,194,269,376,871,086,211,461,898,566,100,711,482,558,557,050,181,
333,613,795,786,138,216,940,551,681,652,855,465,100,545,219,108,287,143,902,
751,099,794,884,834,651,992,497,154,447,387,009,945,729,355,285,995,225,856,
842,451,373,893,036,668,352,320,952,022,235,858,706,477,709,903,002,240,642,
618,481,493,376,953,771,750,214,228,399,948,385,944,008,187,324,265,103,651,
464,445,913,138,560,614,797,325,120,573,731,747,368,810,937,675,607,040,881,
563,234,600,566,218,028,357,190,156,491,186,856,947,368,765,958,364,025,476,
841,240,256,458,781,269,680,166,725,187,116,907,295,600,515,836,748,735,657,
703,148,397,558,292,105,599,650,311,996,952,229,128,218,659,740,453,168,484,
489,827,516,843,637,874,498,430,702,381,988,658,039,724,566,842,073,447,284,
604,516,389,679,230,560,075,332,824,244,764,512,832,656,582,129,759,744,953,
987,468,320,740,014,619,893,102,454,258,713,796,961,100,635,039,244,108,860,
752,581,422,122,488,565,675,242,914,905,995,679,480,222,689,740,043,900,048,
614,221,996,884,318,790,997,926,555,249,956,826,549,083,612,890,667,102,883,
312,861,282,175,547,087,566,793,031,018,822,141,651,568,911,958,453,567,385,
703,890,879,706,094,587,082,697,339,116,839,620,982,478,950,538,190,631,625,
600,943,154,877,472,594,094,753,838,028,544,810,554,411,246,704,081,042,122,
792,178,673,415,822,015,117,389,927,385,385,827,599,534,797,798,474,385,480,
336,376,418,756,419,058,445,203,957,129,901,043,684,539,587,402,594,752,417,
828,044,518,954,965,367,307,106,990,918,440,928,634,586,642,437,062,963,488,
314,297,292,486,090,068,728,224,461,174,974,019,860,703,070,835,772,776,720,
253,546,199,041,437,447,430,462,341,907,085,097,555,652,954,784,622,317,061,
633,616,922,419,120,168,016,154,300,180,721,120,298,197,079,881,725,968,197,
586,045,373,199,531,255,334,761,222,345,724,718,411,182,457,788,274,910,698,
541,031,573,083,114,073,619,620,244,556,215,202,143,734,057,234,575,824,373,
099,875,895,855,566,592,297,870,306,670,901,534,525,359,603,225,776,050,988,
121,628,512,219,962,937,175,829,971,831,482,373,386,738,931,455,332,588,259,
101,316,562,627,229,981,791,553,370,986,999,055,181,525,285,919,384,248,697,
469,494,027,216,089,154,122,678,422,958,041,831,574,306,497,944,135,447,816,
759,255,535,154,091,589,829,533,297,345,665,880,305,967,724,778,629,894,266,
103,266,524,077,846,101,978,842,859,204,780,857,858,808,617,476,930,703,957,
183,587,682,124,814,347,166,703,922,098,190,349,345,069,564,480,123,320,392,
697,308,859,450,271,471,916,462,907,723,868,418,116,979,964,427,634,850,392,
921,808,803,467,444,580,680,267,541,146,885,832,575,638,003,118,461,574,800,
132,545,400,201,289,950,237,080,007,133,068,131,796,665,796,525,842,520,105,
398,640,622,024,725,514,690,008,441,337,448,341,046,682,103,485,994,426,885,
941,996,442,666,899,170,547,895,352,740,050,339,230,157,677,833,717,565,366,
743,698,327,455,812,820,540,496,484,711,190,535,883,903,257,595,374,029,988,
839,909,914,954,206,975,721,012,855,157,890,314,913,140,399,198,334,418,023,
466,333,339,216,738,934,466,698,385,279,086,357,081,844,070,394,192,033,255,
430,460,744,511,593,708,440,978,497,310,045,906,933,665,487,550,987,958,674,
622,050,815,349,161,919,047,926,839,412,728,002,477,675,067,004,010,484,313,
786,466,248,082,761,331,178,531,921,090,408,529,182,828,390,101,350,875,479,
995,910,855,604,086,558,856,732,635,446,135,937,722,976,969,009,181,314,471,
158,531,223,725,711,516,111,276,424,911,065,529,951,561,237,910,072,865,256,
156,094,256,272,108,204,825,316,971,882,881,946,209,625,663,531,124,884,389,
238,179,325,363,004,373,396,787,982,902,679,155,968,180,308,173,030,231,535,
855,835,731,935,289,658,960,524,499,670,965,999,425,259,377,556,325,659,268,
417,623,863,945,955,894,782,588,495,072,923,253,914,986,862,771,983,752,584,
256,117,841,011,534,141,277,741,550,680,251,404,914,469,486,589,911,938,039,
671,447,563,618,586,764,505,288,737,541,478,222,122,091,275,334,568,483,414,
315,108,171,479,472,092,326,462,556,533,412,552,140,080,773,876,387,125,446,
589,071,627,305,557,153,700,255,788,427,872,276,494,190,213,874,675,335,488,
649,659,205,052,864,468,988,405,274,267,193,794,629,808,486,470,187,126,719,
059,999,272,228,312,937,520,353,698,145,509,836,513,671,849,902,633,246,981,
425,516,923,538,085,599,138,011,952,693,765,775,556,422,258,919,311,993,450,
052,908,366,255,842,719,924,860,479,271,968,791,365,130,372,699,116,125,665,
111,756,506,979,632,554,415,355,361,460,971,154,860,719,328,883,022,602,640,
328,375,926,464,268,137,802,468,874,669,223,255,876,779,687,983,332,168,609,
677,124,444,236,828,002,328,459,242,831,771,663,993,846,613,306,111,384,866,
872,737,164,357,607,694,670,007,659,885,782,548,187,886,119,171,950,998,077,
714,934,869,803,171,328,135,097,515,508,153,061,970,363,225,617,665,372,612,
355,391,531,359,436,650,327,478,632,378,288,697,581,341,748,539,310,469,039,
401,165,732,136,531,262,763,862,952,342,793,830,294,012,072,358,248,997,999,
554,020,696,087,649,449,328,498,351,362,702,132,318,079,875,709,425,156,527,
529,111,801,379,730,252,749,695,941,194,574,122,121,560,707,058,712,212,661,
704,604,633,919,375,276,427,961,113,252,703,609,804,313,564,007,778,406,783,
306,689,527,385,928,478,242,302,189,954,758,874,509,708,986,169,194,956,308,
394,124,532,984,354,890,189,575,363,772,970,646,521,142,583,464,777,760,802,
339,219,032,604,997,559,944,090,381,667,476,115,976,538,930,736,521,206,035,
624,618,127,640,130,092,416,075,447,290,959,785,870,815,632,449,701,540,674,
568,879,428,617,593,990,134,692,718,817,210,644,399,510,515,364,558,511,796,
019,114,716,493,135,629,877,108,783,536,989,909,431,665,704,863,653,021,515,
215,359,859,505,473,126,889,593,515,025,372,181,601,315,893,681,233,228,645,
938,418,538,616,092,787,628,208,179,504,714,652,641,729,231,409,983,059,444,
981,409,922,302,429,176,032,448,364,414,211,607,349,831,252,121,622,129,762,
444,632,094,021,273,014,239,836,527,518,544,511,977,603,518,468,177,135,816,
141,894,001,675,692,574,334,379,503,165,855,069,049,826,556,942,512,036,907,
060,990,878,165,702,786,801,065,001,491,378,900,853,311,633,579,039,473,682,
365,159,333,278,086,048,592,350,009,383,956,771,557,288,227,189,972,421,600,
302,682,415,067,601,851,711,873,222,974,107,526,333,731,839,969,589,182,322,
748,948,314,711,165,158,511,284,296,851,967,792,522,507,066,611,112,401,977,
099,404,765,651,411,255,448,330,704,028,882,080,495,599,307,174,742,489,114,
470,994,009,889,190,334,411,147,175,351,783,658,682,042,174,478,882,418,858,
291,496,368,513,992,951,705,176,532,424,942,655,830,433,342,021,964,803,757,
503,327,670,830,912,806,067,158,230,049,481,067,271,593,506,498,972,830,012,
903,673,319,970,513,242,497,332,114,182,374,572,544,697,682,781,210,113,501,
469,869,025,024,835,313,693,299,546,464,995,130,700,105,682,855,355,813,914,
651,900,675,718,864,256,796,635,015,396,606,183,086,800,876,139,315,852,552,
721,622,789,821,458,758,302,846,268,378,056,941,904,267,929,493,007,118,636,
399,477,013,533,634,802,802,386,765,021,253,819,948,204,771,265,497,938,663,
994,020,318,532,670,887,503,225,918,312,223,135,863,980,121,332,551,384,928,
505,450,752,572,557,277,269,806,111,982,128,233,851,722,441,569,715,263,082,
839,656,081,772,298,000,421,757,423,005,339,542,380,748,904,836,622,343,555,
324,713,658,453,147,023,360,637,996,705,144,236,684,160,257,821,010,337,335,
791,028,760,427,735,305,419,485,860,569,728,343,984,101,812,774,895,721,185,
198,655,538,862,896,646,488,328,783,828,987,856,417,313,814,887,914,996,948,
863,302,738,267,875,114,379,833,305,895,084,790,432,671,772,664,727,248,395,
820,468,903,542,865,806,145,461,401,361,455,587,659,329,763,240,013,467,243,
322,862,048,707,632,879,155,124,964,099,149,830,153,304,762,190,070,149,038,
065,645,607,534,957,867,730,897,978,800,955,424,125,399,788,456,967,780,769,
095,798,073,878,527,857,136,316,622,163,111,756,493,834,712,021,152,294,335,
694,866,367,594,871,364,788,310,698,804,726,705,447,590,175,585,639,594,057,
730,379,606,248,064,570,405,247,669,694,336,253,765,733,117,326,764,215,508,
517,415,869,050,411,856,886,525,369,822,390,172,097,504,441,492,222,114,429,
363,244,964,674,331,382,336,098,489,877,300,819,043,527,896,800,369,579,811,
890,298,148,600,860,412,494,949,419,986,497,492,485,663,342,162,925,781,366,
368,770,268,975,892,640,361,733,522,187,944,076,997,592,165,699,287,444,337,
588,640,660,272,131,842,522,572,593,438,146,724,019,194,952,649,072,759,804,
758,211,140,816,158,280,217,530,984,302,617,457,692,833,924,978,780,562,679,
160,244,814,857,015,237,487,257,923,021,585,013,640,416,250,515,827,316,688,
042,807,915,392,167,253,702,440,358,891,982,241,508,840,853,602,577,162,771,
708,541,950,737,112,734,946,801,104,284,156,511,618,574,551,983,807,086,494,
042,159,685,949,946,565,558,598,497,679,032,521,376,198,621,988,443,969,206,
488,857,422,137,011,050,913,112,534,482,085,366,446,398,534,373,971,406,606,
464,146,630,619,372,450,349,723,261,308,274,733,582,698,218,947,507,212,981,
456,562,841,658,111,350,073,299,936,810,533,238,169,553,135,826,274,481,282,
777,987,712,779,169,098,334,774,573,833,050,195,253,458,976,423,689,588,151,
671,420,931,102,915,695,818,939,205,133,481,853,834,780,605,152,459,175,251,
438,545,096,584,369,820,781,059,200,127,268,600,830,799,064,455,921,032,319,
469,251,429,634,263,760,638,267,858,741,793,367,093,563,554,305,770,616,071,
483,502,950,628,031,868,509,867,531,919,748,685,187,417,239,061,750,660,587,
536,049,234,763,661,271,190,665,255,233,307,795,755,256,949,907,121,543,693,
654,628,443,723,222,357,093,572,480,646,251,738,287,376,922,224,041,685,815,
580,354,464,394,395,476,928,202,546,763,950,870,856,119,356,194,721,127,466,
141,356,950,672,806,992,482,962,500,609,419,718,471,194,107,270,123,365,332,
269,655,822,752,396,788,492,390,710,166,907,473,779,006,471,271,163,343,621,
718,975,515,644,304,394,323,478,895,308,545,495,768,796,162,921,271,172,790,
531,575,571,351,230,728,337,823,332,334,795,153,519,987,739,749,085,239,538,
515,082,736,486,513,536,737,838,037,026,848,699,229,781,523,248,826,346,986,
511,839,974,314,878,133,766,870,876,939,208,510,200,137,507,838,761,105,340,
324,230,255,749,955,141,350,260,488,060,000,366,368,929,314,943,490,269,897,
582,564,711,560,735,012,829,047,549,839,559,543,136,463,116,164,070,569,325,
923,306,111,389,362,823,419,791,465,162,245,541,832,052,038,198,957,785,055,
436,291,791,912,631,086,696,371,038,153,543,079,459,974,795,534,314,985,767,
360,912,646,068,822,674,934,558,590,779,296,330,802,087,429,877,085,450,011,
309,741,860,764,201,243,794,924,920,585,031,900,825,297,563,880,048,698,868,
987,542,970,175,856,249,862,620,645,719,888,470,675,119,269,314,883,708,139,
486,807,381,687,554,142,173,462,779,688,766,838,541,204,137,693,943,409,285,
765,358,587,838,805,116,196,150,858,287,768,133,702,419,420,024,962,560,003,
818,626,798,048,301,578,445,312,741,980,435,444,233,183,328,879,685,296,323,
233,473,968,038,141,341,657,149,968,873,579,839,827,607,835,756,211,440,801,
415,126,368,352,444,253,223,780,742,160,880,862,763,114,433,141,254,586,675,
449,930,150,856,108,412,193,022,560,476,810,678,986,969,296,409,248,461,298,
733,748,081,972,101,189,526,772,268,408,226,890,525,852,491,265,970,830,370,
755,698,269,272,313,979,045,547,767,048,596,853,625,212,916,183,710,000,142,
864,785,949,863,051,802,555,937,878,143,941,074,104,359,528,929,601,845,254,
942,161,419,663,359,699,345,723,530,036,668,869,411,610,247,051,370,985,616,
224,001,081,248,200,980,765,276,505,644,523,464,007,508,135,106,060,219,941,
154,522,500,816,415,834,461,197,055,855,551,802,726,406,847,054,895,612,387,
669,415,214,792,867,713,463,103,432,861,625,784,559,626,585,950,635,250,632,
628,195,918,353,496,153,543,822,029,172,754,503,045,923,467,959,591,261,164,
377,603,876,278,009,771,921,965,269,542,610,931,771,472,774,290,277,819,443,
827,276,957,295,413,417,507,075,011,102,966,503,561,127,829,421,433,737,827,
092,261,451,381,430,361,793,512,309,349,399,853,962,642,412,491,590,467,509,
117,439,418,100,147,830,391,172,824,346,127,906,787,865,844,927,616,632,602,
984,405,873,160,345,353,458,247,123,385,762,802,105,442,831,804,369,174,845,
128,757,617,075,062,649,018,126,931,251,863,097,404,649,625,054,821,179,607,
733,459,705,066,511,614,811,914,406,146,038,742,819,739,160,227,453,305,991,
317,739,885,176,485,094,606,278,519,676,983,972,700,550,818,143,805,710,905,
661,710,464,805,148,080,897,710,983,196,720,104,695,767,596,884,656,905,337,
895,105,523,520,383,479,709,568,192,577,542,174,088,648,989,214,246,018,226,
889,264,914,500,456,856,803,234,145,271,382,314,222,271,922,494,642,769,495,
076,165,903,897,382,107,242,074,864,395,242,216,006,472,546,669,261,314,264,
043,204,519,348,215,921,678,809,103,740,088,774,628,921,751,706,054,712,166,
888,815,155,677,417,289,167,860,401,592,963,075,385,242,780,087,573,378,626,
588,616,466,274,444,243,791,754,822,050,452,973,927,181,017,629,615,630,314,
256,508,440,159,450,302,393,670,520,282,443,648,645,839,353,955,536,569,656,
319,588,172,247,038,666,472,851,378,101,228,410,465,229,997,023,488,879,167,
809,169,298,211,281,752,489,977,247,525,853,931,324,680,504,153,429,703,647,
822,388,465,823,056,334,962,090,689,546,908,496,098,555,653,318,047,691,912,
412,268,074,387,310,947,941,022,689,929,081,596,317,335,138,004,546,454,117,
614,025,918,603,296,863,886,166,254,670,340,187,457,830,459,856,334,541,216,
287,237,602,305,810,010,047,702,197,275,212,868,975,710,100,562,574,680,410,
753,549,601,325,882,190,484,557,531,753,503,219,504,358,326,874,622,780,382,
957,765,833,081,219,630,927,252,320,936,727,086,240,748,255,820,220,891,800,
462,584,650,606,697,051,800,693,775,422,470,520,535,280,128,766,276,197,465,
513,140,283,061,214,567,600,650,489,070,305,676,432,135,570,964,350,288,448,
334,794,362,443,959,594,764,376,873,085,545,910,728,537,636,098,017,215,113,
243,128,272,317,621,529,835,861,323,228,606,803,347,832,017,796,598,674,360,
977,313,669,892,958,135,109,269,599,200,008,057,768,120,317,765,635,702,383,
340,968,570,870,583,348,760,348,367,377,982,736,155,101,967,161,654,334,265,
950,899,666,226,661,712,724,068,691,373,759,915,718,027,893,152,175,009,608,
424,435,915,966,929,996,042,849,581,461,441,589,504,490,687,982,084,619,952,
853,368,004,627,420,890,306,289,350,332,833,215,055,272,410,905,734,133,966,
509,151,980,192,336,411,537,478,250,651,121,667,287,835,983,662,157,523,668,
748,480,824,058,056,392,559,047,240,945,992,404,260,631,947,028,217,075,281,
087,832,378,820,369,963,835,196,756,508,731,869,519,971,519,406,928,623,661,
267,432,162,594,347,141,210,045,376,672,708,585,798,990,859,544,719,147,450,
877,667,178,614,619,290,833,601,498,278,869,702,846,590,199,371,971,062,778,
820,094,152,289,879,096,891,707,257,416,302,131,045,016,334,559,269,737,098,
469,865,020,377,329,251,113,124,757,703,502,746,074,176,178,217,889,352,571,
183,007,743,171,422,562,669,412,896,867,327,221,003,013,276,974,237,229,242,
613,870,210,298,643,658,512,186,142,628,173,686,117,537,426,718,881,398,317,
545,193,266,599,374,942,105,742,804,493,168,435,444,991,345,778,014,436,025,
086,282,844,174,846,907,702,098,014,516,625,832,313,309,810,674,416,888,451,
528,410,385,094,849,878,019,638,727,064,078,589,017,261,616,612,421,803,161,
040,932,939,682,940,735,056,253,421,937,147,045,723,952,209,195,558,689,438,
180,116,251,257,143,438,025,520,075,500,638,389,933,779,117,233,510,172,045,
102,683,836,592,477,873,018,861,614,130,751,974,262,673,802,670,327,969,478,
972,229,850,422,605,696,816,554,689,292,750,355,242,547,201,535,954,031,800,
729,743,182,257,913,921,034,430,329,615,297,578,531,241,146,279,209,276,409,
550,754,567,461,818,528,156,252,993,404,841,449,333,216,358,086,315,656,229,
767,747,780,468,643,534,240,125,606,765,460,250,701,220,259,979,203,772,514,
053,791,878,583,890,787,532,843,853,530,818,535,356,105,742,208,106,357,824,
122,897,349,701,906,022,398,363,970,623,935,102,027,175,978,321,331,470,834,
332,653,355,865,034,135,499,633,520,312,675,193,286,507,971,754,163,311,963,
726,108,948,287,386,086,089,532,168,300,556,574,803,686,887,779,472,293,994,
368,683,704,886,121,459,093,987,818,708,560,644,459,469,606,619,635,439,548,
705,691,551,371,271,853,213,207,988,488,154,899,049,259,083,839,915,271,691,
197,203,464,286,990,967,592,879,461,785,818,054,356,421,942,183,591,047,311,
569,126,544,969,446,304,734,048,087,534,518,484,641,183,018,027,452,519,061,
266,931,248,262,856,789,612,563,529,111,181,502,282,651,478,440,223,602,460,
342,588,127,012,501,158,834,155,178,779,878,387,137,140,639,342,903,844,696,
097,566,326,719,607,152,870,989,512,149,918,333,968,107,080,661,684,209,768,
196,818,814,198,196,320,294,028,782,630,054,399,832,821,788,829,172,030,190,
160,166,521,247,485,045,875,576,245,724,667,219,622,260,791,070,782,123,818,
401,773,945,538,532,230,052,464,153,876,487,073,053,247,155,203,882,850,036,
632,014,635,239,793,864,178,027,017,917,898,285,160,788,184,197,931,112,233,
430,846,131,320,826,069,496,261,480,750,940,617,006,426,064,529,548,176,403,
288,344,842,218,186,110,116,252,027,228,519,197,505,646,896,344,698,455,362,
960,988,089,084,953,792,728,671,012,970,321,987,397,314,168,942,835,083,104,
237,808,161,389,466,135,350,478,519,138,082,672,854,418,041,597,253,924,378,
790,715,789,685,109,599,955,497,562,381,134,834,871,358,540,716,704,299,913,
873,914,373,977,440,997,242,119,356,788,646,859,821,847,421,485,106,343,931,
444,322,069,894,803,848,372,954,152,945,336,354,793,309,741,700,080,922,814,
341,294,247,986,496,976,046,868,246,457,977,433,467,130,475,559,941,426,229,
124,700,798,242,307,920,328,972,653,757,092,792,218,435,126,388,998,627,547,
207,658,122,314,941,413,071,125,879,463,001,087,811,549,408,639,514,470,316,
693,681,055,932,958,432,317,158,042,730,902,986,088,793,902,189,026,846,406,
057,232,983,990,914,656,754,609,115,105,497,492,095,441,846,173,720,633,754,
261,061,568,656,287,496,687,976,479,726,243,791,071,510,155,619,041,180,891,
008,652,950,244,236,491,032,984,549,609,377,761,788,841,669,538,697,920,102,
104,840,200,124,395,126,279,642,527,969,345,955,963,097,277,690,908,720,247,
597,146,711,709,425,565,705,467,169,930,176,578,012,877,698,643,814,528,678,
349,005,243,066,049,373,303,725,812,208,289,263,555,553,487,188,248,933,299,
611,264,271,786,658,007,102,066,425,605,577,410,611,103,247,902,962,844,701,
093,171,399,934,783,753,265,691,699,167,226,837,315,549,243,142,621,421,041,
628,033,161,908,466,514,504,320,826,673,447,953,086,025,736,272,061,728,991,
311,597,262,725,233,035,739,022,955,648,471,871,107,389,439,423,046,004,949,
762,650,318,864,182,857,417,316,688,913,677,344,524,773,110,785,097,903,212,
625,525,943,859,953,470,277,246,449,240,394,867,991,728,861,415,637,701,568,
034,741,550,830,041,650,599,705,644,513,137,777,239,173,236,967,008,320,722,
348,046,019,904,872,496,955,519,550,716,969,443,977,451,279,069,946,063,835,
144,957,139,130,111,043,049,387,131,221,376,369,392,053,029,988,786,340,390,
295,418,700,829,690,252,686,652,097,384,583,338,221,065,822,437,525,862,379,
909,135,973,561,003,319,115,551,782,077,852,683,610,923,578,053,614,949,856,
588,442,788,225,536,028,259,888,804,357,563,106,451,675,575,342,096,849,552,
678,421,562,996,258,803,388,648,426,624,314,431,695,846,688,896,709,031,888,
125,768,632,857,672,091,841,778,052,257,037,994,799,173,830,531,204,647,856,
289,201,793,478,617,133,234,468,947,465,407,012,255,635,573,157,033,850,857,
235,497,703,711,293,694,172,494,942,018,820,264,916,443,384,339,902,819,030,
193,603,940,681,343,734,854,401,720,408,203,528,912,842,765,700,044,991,802,
622,207,082,269,069,348,901,601,501,545,447,728,791,909,005,121,073,925,154,
118,202,401,080,776,479,846,925,833,660,400,842,455,078,723,216,947,851,341,
303,182,998,252,682,624,800,019,925,840,652,901,179,501,916,102,688,351,768,
566,218,752,164,693,644,432,907,143,070,248,152,273,889,440,112,924,560,706,
559,698,237,401,238,769,569,709,042,602,919,772,594,480,145,857,947,005,451,
725,197,138,769,032,762,427,356,762,052,752,681,951,202,046,407,117,467,302,
042,221,987,921,007,862,708,570,392,088,415,976,205,040,444,824,073,676,451,
571,664,499,775,143,988,178,164,934,627,885,082,093,959,527,726,782,367,976,
295,868,417,729,335,717,882,600,342,957,490,252,401,032,655,389,552,359,871,
052,647,457,733,114,834,415,299,418,331,616,134,491,464,618,388,968,624,777,
051,492,728,146,838,432,478,338,662,982,214,455,852,318,620,198,667,189,399,
923,654,637,771,496,560,792,127,098,741,345,837,789,657,846,163,225,556,672,
360,049,054,997,891,775,487,357,945,694,597,861,158,877,589,365,808,180,377,
363,951,149,021,064,518,049,855,176,790,205,159,216,589,963,643,992,168,645,
624,542,779,779,074,111,117,815,973,244,126,558,170,991,570,527,179,219,924,
505,935,022,036,695,612,475,320,002,686,353,481,305,513,956,157,355,882,960,
247,884,660,849,228,737,774,458,213,956,210,536,965,979,513,113,317,396,020,
354,483,939,605,614,574,771,969,408,556,168,313,863,347,716,615,516,906,944,
930,473,428,782,299,063,840,539,554,427,597,780,763,636,860,612,021,619,611,
108,660,302,586,556,687,633,603,297,896,339,924,989,352,183,323,135,957,508,
863,574,724,994,939,063,621,272,297,240,190,870,964,632,254,638,876,018,134,
619,656,962,562,491,617,891,403,812,177,828,289,447,872,015,791,647,422,188,
675,113,265,907,148,538,837,114,555,037,701,499,010,810,646,008,078,452,539,
109,457,787,143,524,298,028,556,138,872,069,094,369,097,524,257,964,879,239,
702,949,143,646,414,202,018,103,615,788,859,995,581,151,918,793,429,330,175,
663,454,332,203,478,535,692,496,308,959,317,373,438,385,299,792,433,401,699,
970,070,137,861,086,897,290,397,768,810,787,388,087,180,434,043,200,465,384,
271,906,507,775,457,797,604,880,891,761,564,786,188,359,403,449,781,063,514,
969,843,578,100,802,140,328,763,429,386,761,936,362,810,601,540,504,479,263,
070,484,688,662,232,826,302,191,633,622,324,637,989,005,761,550,724,877,229,
129,068,024,968,501,911,232,278,934,535,906,621,185,679,509,729,462,343,651,
551,344,404,136,752,771,351,055,666,455,452,816,518,391,033,955,601,468,788,
828,148,588,409,334,395,685,675,942,928,420,682,055,350,441,497,567,748,417,
081,222,306,765,856,698,534,987,067,340,858,082,945,502,770,001,949,038,101,
861,881,595,537,174,197,942,798,113,412,499,325,350,137,256,669,483,962,374,
758,995,701,060,093,044,009,629,619,509,897,623,001,811,228,529,022,117,228,
313,535,816,960,010,269,604,077,663,328,020,213,632,082,053,419,261,281,384,
333,467,155,361,887,496,005,563,660,517,363,246,410,470,430,682,326,516,096,
619,250,994,050,017,019,739,824,394,174,949,524,066,983,282,569,942,825,058,
052,868,301,168,555,795,860,149,787,913,061,661,402,808,267,648,207,435,089,
894,471,350,883,579,660,189,242,842,885,863,018,182,423,143,695,864,848,762,
211,592,913,902,011,119,986,159,175,931,088,796,737,368,705,518,422,912,259,
806,307,254,726,591,341,547,451,941,481,391,016,794,460,731,723,777,344,756,
162,232,179,067,005,894,124,713,495,931,570,560,788,825,188,714,876,185,415,
022,863,072,219,842,614,948,210,922,466,360,436,644,410,042,652,527,274,536,
966,672,733,311,069,747,861,849,019,338,542,683,989,370,316,417,117,404,077,
171,351,016,904,179,588,717,764,072,308,318,466,892,471,869,077,231,696,642,
500,266,057,284,489,200,008,937,014,359,165,948,506,740,626,228,467,377,483,
671,233,222,790,948,704,120,396,898,224,867,848,749,122,893,059,777,714,442,
505,330,697,483,339,770,279,403,664,618,460,685,898,509,897,861,759,928,396,
820,330,112,893,718,577,556,894,877,053,782,682,637,831,976,007,146,078,715,
822,760,477,072,720,269,363,855,350,845,762,644,851,424,611,214,639,007,521,
098,595,427,484,787,663,069,882,958,544,571,008,227,681,765,779,974,557,589,
517,315,721,016,347,504,757,439,374,323,969,325,760,130,107,246,361,278,439,
370,636,693,572,965,385,703,479,205,719,664,818,172,193,506,171,433,738,639,
858,877,548,432,986,511,779,841,861,585,546,651,173,255,048,295,586,079,728,
500,787,806,600,698,723,295,707,536,195,604,130,731,427,639,242,063,132,921,
274,800,627,916,677,657,749,201,712,041,335,547,524,104,081,951,929,230,237,
221,325,508,294,212,122,367,105,157,621,373,856,206,541,649,089,496,575,936,
727,520,585,258,309,808,611,033,384,522,259,020,195,649,605,008,213,762,052,
083,593,161,001,499,094,957,602,165,996,098,617,589,576,043,053,413,637,121,
190,324,962,209,618,630,394,070,090,092,027,407,952,685,258,925,003,210,468,
971,848,525,404,820,718,350,978,100,208,424,137,588,922,750,806,589,232,550,
315,822,279,079,809,320,263,102,941,331,001,720,378,887,289,177,409,541,500,
149,225,686,274,750,165,064,679,503,441,526,638,866,915,176,461,417,032,390,
124,394,320,803,255,763,116,095,174,962,002,247,448,805,949,882,698,337,000,
996,887,537,907,130,680,788,779,362,132,099,945,148,215,989,716,224,987,211,
449,339,291,584,451,174,507,807,541,480,555,290,614,571,185,079,341,347,173,
056,972,301,031,453,707,229,658,989,678,305,237,005,890,729,299,750,725,396,
392,224,211,556,900,726,306,495,486,857,080,494,547,977,353,655,930,503,647,
332,551,780,800,185,556,673,422,852,014,088,120,646,639,487,990,193,899,962,
564,905,573,694,894,044,625,218,165,244,163,750,994,690,756,937,656,172,351,
191,331,459,214,118,336,227,189,493,245,319,985,628,704,695,190,788,719,024,
255,946,630,376,070,636,175,312,688,439,566,189,305,562,987,957,288,085,408,
114,682,989,920,654,944,445,994,301,442,685,079,467,890,441,340,371,565,171,
595,751,182,318,162,891,818,413,953,533,828,420,040,256,636,429,455,836,895,
776,954,889,894,620,653,034,644,957,119,730,356,288,886,975,468,950,854,562,
958,929,999,393,399,085,398,675,458,805,632,704,486,503,993,539,326,264,840,
670,889,509,135,058,296,668,368,594,157,376,652,550,058,182,941,752,308,628,
385,021,315,748,934,150,859,870,325,426,423,858,022,172,864,081,896,816,266,
722,253,830,596,866,513,149,555,906,391,019,563,770,067,645,868,170,579,020,
258,088,538,336,315,710,324,893,980,652,690,697,514,691,060,156,186,358,247,
627,056,255,559,305,250,499,258,203,120,394,029,158,183,301,322,136,800,272,
503,589,881,342,519,535,560,223,457,862,620,119,582,226,020,438,669,836,575,
250,051,047,963,528,097,700,734,732,089,392,030,236,538,363,856,713,461,670,
472,804,686,552,163,968,009,714,534,246,811,920,950,625,020,771,500,555,393,
659,316,954,549,528,894,855,561,067,389,845,420,624,554,549,646,171,697,575,
248,376,776,625,207,479,501,850,329,647,979,651,588,614,776,219,983,304,847,
161,244,403,652,623,540,272,927,756,327,957,504,004,974,326,757,097,760,097,
365,602,683,875,888,631,510,913,801,957,995,520,571,835,861,585,377,458,440,
051,684,466,905,410,632,244,426,353,257,603,953,542,162,016,665,062,814,260,
605,268,842,176,081,399,718,787,963,631,740,759,060,100,203,350,892,149,580,
291,782,027,911,915,676,887,414,307,105,427,250,751,708,506,236,044,585,546,
146,020,276,275,514,826,283,813,501,579,375,136,428,678,464,929,129,859,420,
091,520,964,149,661,640,969,682,164,661,823,347,551,843,564,579,700,610,173,
358,922,070,888,143,104,422,986,978,491,947,889,675,992,644,434,873,181,591,
535,816,621,579,091,369,489,107,648,332,843,627,456,766,020,550,413,662,412,
108,579,960,669,806,338,862,962,828,399,406,179,501,235,536,659,423,378,118,
176,206,418,397,748,870,231,538,321,961,797,250,685,438,339,271,256,942,321,
663,093,957,714,140,827,372,401,934,336,145,302,676,190,173,118,627,658,520,
841,559,001,311,104,662,448,557,696,932,223,834,678,464,988,275,830,231,001,
712,300,002,242,169,293,427,336,833,140,784,614,959,403,173,576,626,072,261,
880,859,728,303,547,713,904,651,500,976,183,181,486,112,021,919,394,121,683,
579,303,347,694,162,210,671,035,080,713,196,834,425,605,949,996,382,259,233,
115,563,315,694,106,766,700,288,985,727,245,458,573,945,975,640,697,208,948,
371,966,709,441,389,447,948,519,271,803,696,758,964,794,057,112,981,314,171,
492,730,030,815,664,105,313,242,867,252,216,659,675,496,955,218,927,019,253,
591,121,011,889,392,897,255,711,712,953,961,804,870,998,522,287,385,139,280,
206,838,299,167,418,211,701,632,924,291,856,036,561,039,196,349,442,121,119,
758,132,277,729,538,385,570,821,141,255,552,690,465,923,323,401,021,723,036,
950,453,342,108,751,873,177,634,088,177,630,203,982,792,068,546,830,988,198,
280,966,726,919,238,045,951,141,370,782,709,363,941,088,134,216,135,504,425,
716,677,583,778,820,887,685,320,608,256,142,501,176,847,909,376,718,242,244,
322,524,100,518,450,177,971,318,506,386,112,131,457,027,018,016,147,975,701,
750,853,662,335,276,403,929,676,454,540,470,969,424,183,831,220,894,530,651,
642,685,954,806,668,359,957,023,179,161,223,122,574,542,839,954,254,039,273,
119,588,271,524,777,776,216,654,793,388,508,299,941,663,258,423,611,134,275,
856,044,428,524,525,556,400,372,484,601,210,001,796,143,641,407,592,373,741,
785,111,274,050,298,496,523,887,594,065,705,821,277,540,691,756,154,264,675,
893,350,426,909,771,886,489,387,105,904,844,733,555,011,148,853,693,202,563,
354,121,479,863,320,588,880,203,970,220,440,777,526,804,894,714,851,612,432,
611,816,403,262,657,820,584,370,374,514,953,407,435,804,052,134,959,039,921,
087,063,076,796,327,735,346,583,486,393,013,388,482,589,922,273,643,434,552,
061,865,972,323,938,247,283,686,716,865,601,236,076,044,745,554,130,609,679,
708,049,652,337,427,339,781,206,957,480,219,159,528,142,504,015,997,355,201,
248,504,879,091,143,186,557,844,276,253,924,953,546,960,122,307,687,969,503,
783,370,618,120,483,550,470,045,487,916,035,657,396,886,180,775,856,912,383,
848,802,246,996,698,025,536,058,327,841,976,044,519,995,563,947,465,351,045,
675,106,713,011,077,924,265,443,405,323,952,862,172,929,163,999,745,638,164,
371,067,513,654,090,869,042,813,086,839,215,859,726,133,800,441,774,348,736,
516,538,036,750,861,572,217,336,093,281,672,187,194,739,240,679,953,779,510,
006,148,125,888,420,108,919,638,671,363,271,860,156,294,527,666,675,976,177,
330,171,134,934,233,413,191,738,953,145,334,841,202,328,437,642,631,199,447,
510,580,580,996,477,365,780,950,968,188,082,114,591,318,371,238,188,029,645,
600,755,825,396,646,542,438,430,445,303,522,518,347,814,469,411,165,914,454,
526,423,299,406,949,200,738,188,683,138,130,346,010,746,381,617,154,618,595,
200,162,085,958,208,513,951,599,418,665,608,865,422,024,045,043,806,208,898,
429,467,068,777,692,371,195,624,186,493,857,100,129,091,435,899,024,233,831,
303,088,896,552,749,999,435,796,539,833,684,093,189,342,328,285,283,552,757,
255,304,279,239,747,424,330,102,330,875,922,335,170,024,212,105,050,271,933,
836,879,344,055,554,923,885,560,281,031,612,797,737,815,631,047,344,592,537,
605,979,814,576,439,413,346,799,558,603,400,093,423,220,316,417,935,236,235,
155,935,314,412,164,228,166,211,534,355,045,353,308,864,031,766,891,620,636,
200,745,151,874,828,190,228,859,773,286,009,252,143,954,963,429,414,203,171,
909,517,334,896,849,167,602,359,675,593,499,432,238,588,057,616,348,783,415,
515,186,724,771,144,098,280,526,670,623,485,404,486,924,524,991,466,190,763,
506,424,726,784,765,205,116,677,912,935,627,722,222,411,093,980,189,432,862,
922,488,006,629,808,845,588,971,752,707,389,244,118,271,900,764,078,458,715,
813,651,425,948,211,586,421,845,278,196,568,708,386,257,058,472,722,130,592,
906,536,381,729,265,630,933,611,272,102,744,566,783,908,397,755,357,974,017,
358,362,991,478,932,771,163,205,738,525,191,103,790,974,429,424,292,856,343,
876,032,868,794,482,425,294,864,461,253,244,484,230,947,794,694,308,284,547,
882,318,152,805,848,038,893,832,132,457,642,555,433,904,073,361,301,212,429,
610,921,818,508,987,455,091,772,943,539,197,405,146,308,336,667,610,327,281,
490,503,483,585,527,871,265,626,660,027,389,084,893,444,232,365,298,838,180,
296,554,826,208,809,990,010,145,128,508,851,693,363,216,439,031,558,135,966,
987,100,185,106,273,830,309,416,472,070,268,199,795,355,310,235,941,692,655,
408,907,640,484,154,396,162,173,209,935,056,502,267,896,947,368,169,788,848,
886,333,157,071,164,598,261,126,145,537,204,372,445,731,740,803,621,160,315,
399,586,593,243,131,501,023,674,567,926,225,908,492,293,487,237,956,536,879,
442,130,299,308,155,842,732,529,245,015,726,859,651,773,544,874,718,597,634,
233,733,225,394,625,436,558,240,488,505,510,237,994,242,678,499,781,025,751,
218,746,333,857,487,909,436,906,502,585,762,534,871,105,409,418,026,244,358,
183,502,160,725,235,472,247,564,942,606,363,659,460,382,922,562,733,915,721,
942,494,283,858,397,164,856,270,800,292,865,617,785,014,052,902,263,048,426,
562,614,209,022,002,647,801,702,360,041,920,035,089,517,141,115,801,108,999,
179,770,429,214,391,366,543,232,903,532,623,008,559,255,120,007,571,197,688,
768,860,301,186,288,512,351,964,977,543,831,164,871,570,226,921,357,817,951,
024,918,229,728,910,999,198,759,428,414,205,643,769,864,479,398,250,150,341,
833,754,088,635,350,701,465,228,833,086,247,603,971,321,229,889,107,080,338,
943,429,465,190,672,424,028,724,543,692,362,398,897,984,745,576,680,262,073,
404,910,698,217,034,664,825,090,146,120,481,503,940,744,502,433,828,453,926,
577,369,200,490,788,204,917,927,352,282,979,826,425,922,326,691,234,686,484,
435,787,582,623,112,702,839,354,607,786,640,109,558,319,158,884,811,968,074,
675,109,514,701,252,209,524,324,570,203,349,287,668,284,236,922,218,208,385,
741,118,357,566,734,751,413,999,893,460,195,795,351,731,711,754,303,838,743,
805,281,956,806,124,715,758,930,373,524,290,661,496,989,644,284,694,316,507,
850,569,079,127,229,770,355,759,625,822,841,956,484,648,315,484,546,617,708,
182,922,254,122,985,495,254,339,382,733,112,544,055,497,521,331,216,799,881,
858,091,280,126,193,226,598,588,301,116,931,101,886,324,680,904,817,383,520,
096,024,573,228,318,734,476,454,736,174,612,730,858,786,715,956,470,248,237,
642,411,616,172,770,312,941,364,885,046,715,287,417,557,754,891,697,207,572,
230,406,026,605,398,947,461,486,489,166,146,023,671,673,381,587,215,314,735,
254,322,692,402,484,696,324,375,150,708,607,355,507,017,321,634,111,454,187,
104,521,324,346,853,896,011,872,039,260,625,182,011,789,354,099,685,082,771,
414,899,008,785,279,610,207,287,801,513,147,246,633,625,189,927,650,647,037,
798,334,021,403,156,184,368,565,513,434,743,303,763,895,281,433,981,854,003,
499,222,947,179,775,744,128,734,036,237,188,851,986,238,936,258,450,478,036,
064,043,490,246,592,854,392,590,583,601,895,569,364,682,583,968,807,025,042,
482,981,163,069,617,566,523,895,091,584,111,320,018,995,624,087,731,791,901,
759,650,502,021,406,615,232,450,778,345,444,870,460,248,908,781,481,441,940,
325,570,808,153,507,221,928,348,537,462,554,921,039,289,977,080,419,083,716,
914,036,121,835,856,615,236,703,810,802,127,819,623,929,953,470,437,958,242,
201,610,836,739,995,633,320,567,756,536,666,418,147,127,665,916,198,750,496,
862,451,454,808,184,423,768,783,359,998,810,547,865,467,750,870,056,382,772,
289,397,637,773,016,728,725,237,708,988,918,217,688,236,398,759,044,110,976,
652,457,760,721,799,077,162,522,319,196,289,626,328,252,245,236,540,070,770,
697,342,276,349,536,092,975,164,303,267,216,047,917,657,874,655,917,991,031,
582,902,791,130,847,082,774,789,839,500,225,870,027,706,368,013,189,483,612,
933,467,138,245,100,098,564,359,973,985,868,909,990,911,612,125,022,155,349,
868,444,002,917,559,206,205,934,252,159,766,242,413,492,284,512,313,626,120,
593,143,547,132,222,549,255,635,308,490,226,283,397,199,947,550,484,216,545,
678,696,139,497,472,422,715,176,019,268,509,298,810,069,357,010,655,880,356,
245,865,841,303,224,090,999,022,186,670,635,194,502,901,219,859,333,984,713,
056,224,267,698,296,541,258,706,769,905,178,087,232,794,148,661,211,567,226,
792,732,679,205,395,707,003,003,721,408,267,152,699,585,726,750,235,973,157,
842,113,053,705,122,016,142,597,523,172,174,453,649,554,582,763,252,179,281,
960,335,655,310,325,660,225,546,260,802,704,045,346,064,103,544,857,954,597,
559,930,867,502,690,374,962,126,678,183,099,935,802,801,175,848,885,191,875,
555,727,971,918,879,733,639,128,267,765,118,837,613,553,578,856,360,122,041,
186,944,117,756,745,403,201,117,815,773,750,270,332,619,622,744,252,946,657,
679,846,932,716,000,179,360,707,896,961,804,484,807,260,695,918,404,133,148,
106,957,519,652,902,721,195,259,144,879,828,921,150,086,036,517,780,789,255,
446,079,851,503,603,650,780,132,913,850,515,814,131,760,319,116,747,883,322,
962,715,702,680,089,791,944,437,181,288,459,771,259,641,845,150,052,852,628,
762,219,339,001,652,750,713,919,214,581,765,961,976,202,044,337,269,233,658,
443,217,713,263,085,517,746,185,732,341,115,076,964,087,586,675,630,186,643,
140,668,883,203,689,221,800,404,927,786,642,952,152,054,026,727,078,404,864,
411,714,554,232,987,719,061,789,108,739,238,609,709,283,132,553,432,974,087,
239,207,661,610,617,473,407,311,313,838,189,802,873,504,350,789,787,837,872,
143,588,385,575,882,329,530,187,310,422,878,846,166,794,547,324,342,611,232,
802,553,822,223,972,419,864,100,830,485,613,557,413,261,011,727,204,464,908,
603,164,361,068,051,213,244,443,552,934,040,022,378,016,632,566,065,771,450,
855,058,937,894,493,818,351,443,856,645,260,334,002,132,413,139,173,423,933,
147,663,987,857,227,211,962,377,726,291,238,404,893,607,925,083,604,825,541,
330,371,972,227,713,815,060,044,529,634,700,210,662,677,092,283,068,294,261,
860,320,699,603,270,663,031,542,106,736,854,709,198,318,666,952,112,919,307,
377,593,047,958,820,724,086,498,497,319,050,819,558,196,881,982,274,038,415,
853,084,706,566,834,451,330,527,023,102,817,760,999,662,698,138,200,432,165,
869,831,172,143,143,000,578,803,913,454,916,815,235,700,987,697,913,659,331,
738,472,540,778,814,376,795,258,164,259,857,926,301,225,271,071,348,095,528,
046,410,671,867,720,270,942,052,048,757,350,146,322,824,540,980,358,927,561,
891,223,329,338,946,118,253,827,542,644,774,768,008,916,856,027,210,423,917,
131,859,041,140,876,931,743,442,737,925,179,680,934,113,956,706,704,012,580,
102,811,557,784,910,039,085,715,930,292,328,813,345,245,069,228,958,393,219,
751,718,033,871,072,762,888,274,278,283,262,155,566,229,876,072,695,456,480,
588,147,705,903,777,377,220,815,364,544,140,539,171,325,976,376,910,032,888,
024,385,732,868,447,391,516,113,293,999,674,692,521,503,587,084,396,015,018,
673,720,219,286,671,599,470,394,016,680,918,864,579,580,131,850,122,826,601,
642,050,449,148,747,233,506,952,502,564,933,089,748,645,999,371,072,282,014,
504,544,620,378,883,345,661,886,121,269,129,795,017,361,637,162,268,670,195,
620,755,444,796,056,143,395,810,574,795,450,131,336,507,773,358,890,792,561,
378,801,558,887,110,617,131,185,457,691,210,463,604,961,335,271,111,735,908,
344,757,229,991,888,828,031,171,401,684,521,628,957,156,274,650,625,289,198,
423,982,030,260,139,841,712,321,785,427,032,002,573,119,013,865,661,063,355,
846,887,960,129,748,899,164,578,694,571,012,915,139,728,595,978,381,754,032,
998,313,275,069,806,271,846,196,783,902,423,464,984,243,951,197,443,850,722,
873,012,758,210,908,778,683,010,788,358,050,178,022,478,850,668,067,196,897,
617,522,167,014,333,773,308,176,523,301,726,375,905,072,015,217,296,919,536,
953,366,370,968,219,559,262,740,087,917,509,063,035,986,700,207,856,124,545,
780,498,688,490,537,083,125,974,869,655,017,338,171,086,773,799,235,386,690,
314,383,148,394,390,642,283,094,265,592,056,749,253,079,470,728,039,815,675,
893,781,299,712,605,506,446,044,253,898,570,875,128,167,650,554,995,328,913,
937,243,746,735,811,998,757,676,147,093,026,198,047,658,364,155,009,132,476,
101,435,991,418,181,487,934,096,337,308,252,497,554,185,367,417,676,858,389,
258,498,768,224,438,665,436,177,200,879,829,742,323,009,746,321,179,764,374,
346,768,329,800,653,947,110,042,604,527,147,343,594,488,431,535,454,631,949,
262,137,039,901,384,754,774,931,103,673,895,243,789,378,701,562,472,576,699,
588,076,807,313,875,026,872,892,510,783,696,991,425,387,097,802,571,663,214,
639,444,915,518,653,844,727,382,646,753,636,278,119,898,317,400,011,944,760,
421,413,961,732,984,705,875,519,715,917,068,558,580,433,749,721,209,270,535,
666,117,010,215,651,375,638,877,435,460,066,043,003,027,556,553,044,474,235,
043,946,619,949,156,641,726,477,415,717,780,122,473,296,183,386,695,087,199,
706,909,860,134,442,800,666,198,322,107,202,458,818,666,809,987,131,525,204,
494,906,895,695,260,582,591,451,233,824,380,168,221,104,922,183,073,929,909,
765,374,747,818,879,294,256,673,339,538,755,051,966,933,139,798,532,970,617,
780,821,146,272,565,661,148,329,408,546,003,314,354,965,283,050,706,689,456,
026,601,207,947,764,412,718,185,295,403,079,684,448,339,993,021,098,755,943,
886,380,879,116,368,316,182,351,666,908,938,093,954,326,354,762,959,459,802,
343,521,299,644,084,196,836,444,671,023,399,945,174,031,587,129,569,078,623,
793,167,715,078,355,490,280,032,804,246,403,257,500,763,659,680,188,767,462,
830,067,611,648,306,078,283,297,628,926,200,302,738,426,647,158,758,263,085,
353,783,921,322,066,326,433,363,228,577,619,079,084,156,160,070,440,398,828,
069,621,497,861,418,599,442,466,918,861,516,960,344,241,787,957,360,165,050,
648,669,239,088,378,713,972,502,881,905,648,804,854,939,187,768,248,528,604,
493,487,717,783,680,678,119,981,051,189,381,116,036,608,947,487,027,439,930,
064,252,038,327,857,418,337,470,421,846,301,974,397,480,863,682,914,418,010,
205,182,584,319,392,064,767,214,471,283,869,084,568,755,374,069,406,424,396,
892,701,750,246,835,807,173,459,487,451,048,386,642,201,307,168,424,206,164,
389,343,587,007,751,621,920,087,910,951,121,098,895,453,258,299,672,447,236,
705,759,136,441,776,820,543,398,733,964,219,173,977,543,806,431,928,430,965,
157,445,300,558,251,192,479,699,839,592,606,232,353,403,598,330,241,861,413,
281,879,237,464,084,551,975,760,895,052,247,536,356,075,643,165,828,476,111,
010,187,367,570,518,211,042,215,016,931,720,746,300,081,589,317,435,251,533,
876,925,092,859,672,692,450,605,571,353,269,027,734,280,770,375,939,847,444,
820,750,286,233,901,625,061,907,508,694,375,217,168,701,591,803,828,865,609,
975,163,441,744,154,721,257,178,393,603,488,569,177,187,804,344,592,182,327,
678,897,490,293,246,291,225,221,014,295,925,046,697,747,313,171,542,461,694,
634,336,438,870,689,162,221,758,764,835,777,675,760,586,981,094,512,412,352,
657,594,161,029,348,590,389,460,030,906,239,899,840,820,323,085,499,758,808,
597,539,177,357,852,998,479,979,965,591,756,157,538,958,604,609,225,612,971,
881,773,969,668,415,878,675,331,726,439,371,362,320,652,945,403,675,423,241,
247,282,079,390,974,667,916,965,836,972,722,877,432,976,328,363,910,837,617,
705,229,036,848,738,023,047,510,664,529,229,038,841,965,883,551,375,899,181,
306,181,090,384,318,977,515,697,035,296,787,462,676,025,345,864,991,764,704,
090,907,817,151,432,108,858,585,787,791,517,752,066,242,922,323,079,715,379,
594,015,592,962,510,117,185,755,544,344,870,129,216,035,168,391,096,098,431,
509,361,392,137,919,942,647,956,399,384,548,299,341,178,231,827,220,845,654,
652,539,359,205,012,528,498,841,959,600,734,398,546,214,637,901,571,543,875,
988,649,687,176,291,308,026,456,410,519,923,103,973,039,675,072,145,087,810,
315,195,313,551,617,238,002,005,916,303,843,832,963,677,598,499,864,446,206,
549,101,428,937,091,431,637,543,790,352,488,772,544,868,262,592,645,358,055,
530,956,435,065,990,285,255,411,915,987,461,154,301,635,854,001,451,727,634,
591,383,106,032,589,204,951,262,913,176,556,905,402,869,990,182,385,125,737,
271,012,960,786,989,128,648,167,473,580,313,217,105,573,610,488,253,391,807,
755,582,473,412,118,417,358,823,140,842,590,562,698,795,450,902,510,490,650,
426,480,345,420,144,554,879,131,239,487,382,357,201,829,165,866,751,081,433,
784,463,333,192,366,880,114,453,510,870,723,407,974,951,154,128,215,334,024,
122,573,986,632,567,165,528,133,196,339,170,112,655,892,861,422,916,422,946,
718,409,604,530,576,890,420,841,577,932,326,357,158,730,389,224,120,169,486,
910,435,388,893,599,132,915,550,427,875,089,218,261,717,342,113,791,746,722,
420,546,506,713,731,331,644,385,168,763,418,985,588,890,824,682,522,414,585,
331,405,392,725,556,105,068,864,828,352,110,220,193,517,398,590,643,936,278,
231,216,388,926,246,916,522,215,669,809,041,017,666,979,764,041,074,396,410,
489,827,252,065,884,768,217,088,298,184,784,528,383,860,664,779,347,604,772,
877,888,909,962,490,087,720,125,195,690,460,722,690,551,737,814,612,466,482,
561,008,001,693,823,101,973,028,138,352,122,565,574,506,137,917,399,813,016,
299,909,388,822,580,121,236,929,599,516,885,605,697,411,863,910,902,044,182,
156,790,777,534,581,445,223,592,751,164,628,680,448,618,235,439,103,491,433,
949,655,334,572,557,450,449,945,889,499,415,132,860,813,666,783,179,112,589,
785,681,043,813,410,527,874,465,850,724,984,719,525,744,106,889,858,481,296,
399,398,256,668,077,748,272,732,166,685,335,312,395,204,643,555,442,259,170,
127,447,995,161,294,512,639,265,501,459,632,533,279,782,278,270,110,566,258,
594,625,471,057,001,778,694,553,507,218,321,724,114,806,525,754,551,617,234,
220,248,591,278,562,441,409,050,797,037,772,693,324,400,471,268,440,017,722,
891,728,875,335,391,294,213,458,416,957,412,052,817,869,555,626,384,714,354,
244,161,931,043,823,001,645,510,933,781,321,496,106,721,541,593,298,476,665,
796,156,234,633,561,570,998,422,562,799,565,695,884,323,169,354,493,145,891,
054,128,300,136,243,364,782,027,718,908,815,817,013,950,319,254,482,144,282,
414,252,371,756,538,963,023,516,795,297,735,411,592,645,282,148,404,892,267,
979,250,446,415,360,081,339,376,663,693,016,208,936,568,971,414,812,720,361,
902,023,834,875,710,629,565,485,961,671,425,492,326,116,910,541,469,266,658,
728,530,806,301,969,395,549,312,730,943,328,391,582,318,388,884,618,839,429,
332,292,208,848,185,682,735,271,194,195,081,702,271,499,040,426,417,725,758,
416,527,563,527,084,080,204,591,070,825,977,825,988,985,544,220,293,538,679,
784,661,285,488,510,536,370,134,711,700,610,858,638,948,791,635,479,778,871,
648,202,972,752,931,160,754,796,159,167,673,170,780,627,830,938,617,387,702,
483,137,138,230,595,766,286,743,544,404,028,183,994,570,731,309,151,731,174,
120,805,921,356,699,929,118,958,520,681,387,516,091,888,313,781,060,108,922,
019,251,910,886,509,710,116,733,636,828,830,733,851,549,062,608,892,203,727,
068,533,040,513,427,474,978,929,619,683,708,381,800,831,545,040,636,641,460,
490,880,868,953,783,974,497,600,356,925,191,974,148,498,415,298,138,096,310,
246,038,081,807,883,187,949,580,247,413,533,920,397,657,091,010,774,039,844,
979,042,457,484,600,156,648,804,406,534,575,261,638,284,503,554,631,868,270,
919,654,897,032,066,516,235,952,223,953,404,512,080,199,464,111,416,495,352,
874,780,671,241,945,169,482,773,653,151,671,936,547,220,622,313,859,736,237,
449,297,236,680,366,986,442,323,148,012,372,768,581,343,800,225,687,550,243,
123,458,323,442,340,936,571,007,983,737,900,789,823,983,449,423,205,392,824,
543,463,979,964,179,645,006,303,803,806,496,258,760,086,379,317,560,336,209,
981,743,337,904,880,784,259,434,136,152,971,392,478,326,777,259,678,722,728,
944,572,957,814,835,796,376,639,113,756,775,903,926,748,071,428,910,679,577,
548,082,108,357,800,300,617,363,458,716,434,887,263,538,664,113,826,403,112,
616,572,584,925,317,355,028,749,355,552,806,463,692,162,778,159,451,970,881,
030,826,733,240,077,413,844,493,031,426,569,784,178,377,868,832,763,628,672,
987,078,782,357,992,769,379,088,372,561,052,420,054,813,938,631,665,201,222,
570,798,346,526,753,257,136,883,541,053,757,115,149,607,281,995,639,412,271,
040,459,723,792,225,192,807,915,065,213,698,158,909,848,461,461,674,635,858,
618,309,244,925,482,089,623,599,980,705,657,319,951,869,745,427,527,235,771,
004,202,545,727,377,490,990,290,300,682,122,244,606,149,093,168,396,706,153,
897,482,580,528,978,887,427,826,177,513,239,737,947,702,007,814,424,216,995,
136,842,969,312,924,195,547,282,482,534,787,918,500,990,757,241,417,066,705,
830,524,076,007,575,537,253,020,079,804,159,897,828,141,758,092,159,539,582,
834,892,794,948,495,044,917,826,509,070,831,800,244,285,513,312,547,262,311,
917,334,500,412,850,205,936,070,999,939,709,590,036,452,960,736,669,340,434,
057,588,232,195,277,795,984,062,736,255,098,812,971,505,773,600,943,835,271,
135,317,909,575,451,543,641,025,820,612,076,853,661,490,337,341,655,522,680,
247,331,823,329,598,086,119,931,566,841,142,145,144,153,875,311,013,183,898,
599,236,178,830,625,912,773,496,010,531,833,261,897,199,380,626,692,915,809,
112,247,998,002,186,441,205,376,570,007,652,213,467,660,803,493,410,825,991,
924,657,161,601,113,474,462,370,988,520,935,401,280,744,621,749,801,550,859,
111,830,467,696,727,667,093,042,041,374,542,350,529,985,238,523,354,793,604,
262,617,256,870,171,360,665,780,069,262,464,751,476,282,138,048,286,322,634,
019,841,405,829,162,196,138,776,729,664,894,816,677,195,810,299,765,205,198,
981,907,524,953,555,735,682,130,137,717,573,351,173,620,805,437,735,369,437,
959,532,312,562,659,405,794,586,830,239,888,162,985,431,927,822,480,386,671,
453,522,319,757,429,446,163,617,408,260,840,593,559,333,746,040,528,699,399,
745,633,328,414,090,545,314,042,683,408,949,435,066,562,664,185,541,313,419,
038,734,004,662,124,231,211,459,713,354,915,247,290,173,528,348,637,398,354,
101,168,099,217,075,651,354,601,317,228,738,429,354,545,648,453,413,674,322,
073,075,699,481,362,276,134,696,104,076,103,350,461,358,664,851,086,486,649,
114,900,492,901,165,874,820,450,300,764,030,117,677,288,993,515,385,790,846,
269,872,655,796,951,848,267,086,925,982,706,850,741,459,729,516,901,115,851,
630,910,025,906,634,967,679,942,848,365,865,534,819,899,968,525,541,954,521,
948,348,555,503,506,925,074,094,921,098,429,372,035,511,139,031,690,035,716,
266,664,859,964,466,437,817,847,599,308,040,690,870,456,232,989,317,181,279,
087,000,457,455,750,999,467,839,241,415,787,878,151,058,814,941,012,562,664,
197,596,840,064,769,178,117,505,793,460,118,657,677,105,232,620,260,409,955,
146,597,090,810,444,831,172,970,149,254,781,108,067,777,998,387,471,836,852,
023,028,637,045,085,222,013,414,834,864,649,858,543,634,757,294,006,156,845,
001,657,432,553,934,893,581,696,647,647,455,480,645,917,508,194,748,926,970,
695,474,273,146,711,911,826,438,035,978,555,194,744,641,059,834,613,528,826,
057,318,807,141,514,770,226,768,820,270,270,027,734,359,468,790,081,076,207,
625,745,991,986,053,122,782,575,597,561,747,838,536,179,291,858,469,376,115,
143,494,051,270,015,676,250,157,201,217,543,876,872,569,335,853,634,760,527,
267,250,017,301,453,538,436,981,555,140,095,503,400,233,915,926,097,469,552,
820,287,995,361,949,102,133,501,181,211,053,374,970,260,203,947,212,250,273,
001,567,689,138,351,303,215,309,496,917,353,974,670,279,633,832,760,795,428,
776,499,706,024,068,931,076,062,857,567,300,765,341,934,670,720,990,206,325,
077,314,107,920,900,567,042,413,572,112,150,675,061,586,111,008,972,207,793,
657,563,729,374,014,388,611,016,073,842,802,197,181,684,023,192,008,753,749,
778,690,441,876,551,040,241,948,026,301,265,005,515,750,778,499,932,964,024,
667,953,079,308,519,745,065,629,252,102,356,546,304,472,192,119,046,416,737,
064,912,611,676,854,983,668,030,095,204,418,270,889,841,246,784,145,649,198,
943,543,588,155,626,170,302,416,677,862,756,769,198,534,335,995,682,354,230,
920,329,324,519,532,254,839,153,475,368,963,709,907,147,730,708,038,496,662,
169,622,824,339,835,254,732,691,321,202,492,980,802,189,306,083,664,713,587,
965,202,248,580,294,555,901,066,281,990,831,873,957,297,297,156,117,459,539,
209,083,862,560,297,168,167,764,078,630,226,787,943,155,001,049,723,909,603,
550,867,300,276,817,066,386,444,448,236,824,259,362,959,397,355,384,954,207,
449,446,084,199,814,835,424,874,957,889,751,863,611,074,967,703,464,286,730,
256,983,577,780,182,821,289,671,392,061,698,168,027,520,956,959,232,978,442,
601,381,905,107,914,453,010,394,588,135,847,062,149,583,526,566,192,563,613,
717,147,127,906,690,989,245,418,148,716,913,443,966,806,171,577,436,498,485,
562,085,912,052,581,700,362,210,541,311,191,077,068,479,679,833,993,688,588,
820,294,406,155,527,473,577,852,484,975,676,868,554,637,528,440,653,419,093,
003,859,320,759,552,320,251,880,993,128,206,356,992,190,611,442,606,994,642,
589,576,516,239,199,256,842,119,814,924,544,954,115,663,802,459,282,150,019,
254,376,690,725,044,861,281,547,732,985,666,343,600,837,484,252,204,160,821,
231,266,351,193,452,749,016,913,131,922,065,214,181,122,675,212,229,306,265,
606,099,684,701,907,540,461,695,010,404,365,179,344,418,862,813,679,567,281,
724,228,943,143,632,328,118,161,992,534,936,700,681,185,193,508,123,769,797,
097,953,545,616,872,372,907,217,030,589,523,010,469,499,666,919,735,025,070,
736,548,094,174,584,238,991,278,514,645,033,986,154,701,593,421,336,993,383,
504,037,816,596,469,918,326,077,500,655,910,806,020,949,022,777,990,172,301,
074,447,912,243,261,615,190,782,525,713,376,372,059,270,321,450,394,184,278,
725,922,193,051,877,863,933,467,488,239,241,872,156,844,452,151,803,977,786,
691,424,679,841,694,944,134,872,385,166,744,996,321,474,540,884,096,339,391,
936,126,718,934,514,812,809,242,330,241,474,052,988,511,273,330,526,973,823,
109,799,461,370,804,162,589,024,458,087,829,329,211,590,647,358,764,851,327,
795,081,837,351,305,518,119,566,479,067,948,530,884,148,682,947,154,739,783,
065,704,869,464,425,425,106,432,223,318,237,989,491,968,321,862,841,312,936,
663,260,066,017,501,186,524,758,843,848,163,358,148,765,048,342,277,987,905,
429,895,830,246,209,969,712,129,199,722,936,188,108,350,380,446,809,006,808,
048,088,110,619,399,341,208,230,011,943,358,679,359,636,726,575,110,145,975,
652,652,410,615,251,027,612,080,282,840,663,080,220,227,835,606,227,256,855,
196,705,943,503,674,902,216,877,697,451,965,137,467,717,797,581,492,844,187,
394,376,740,820,227,590,342,180,276,354,707,393,697,740,987,186,656,614,307,
305,050,650,325,093,172,223,039,589,950,725,593,887,826,264,787,678,650,650,
894,426,563,876,431,627,670,600,628,883,064,631,582,043,535,128,341,982,645,
243,730,621,829,624,776,608,742,428,604,440,713,090,957,933,141,076,658,527,
745,554,440,104,842,150,429,270,702,556,133,465,470,366,313,829,135,661,200,
369,520,109,186,610,811,267,394,169,485,952,273,985,555,914,592,640,416,985,
621,466,719,144,314,911,079,318,820,498,545,057,982,414,555,564,485,776,112,
241,746,060,336,386,797,313,428,796,488,658,612,320,875,857,628,180,371,878,
593,742,823,173,033,897,748,515,212,148,646,013,266,569,325,441,700,145,316,
430,303,603,277,178,497,368,490,969,349,656,884,170,035,935,173,986,521,629,
092,986,362,171,651,295,276,005,932,098,305,711,599,415,834,954,343,026,520,
289,107,892,681,861,694,940,756,424,792,887,148,809,969,342,540,172,019,207,
373,099,909,073,535,995,571,076,273,765,543,111,464,964,821,626,073,568,787,
321,440,743,635,596,961,821,136,754,082,766,705,579,304,863,684,202,909,649,
418,887,460,166,587,524,635,091,363,489,514,709,588,787,736,024,759,472,868,
382,079,416,779,995,882,068,495,536,352,696,737,376,295,411,624,365,214,052,
227,209,626,535,178,996,397,625,824,505,107,301,131,736,047,268,764,980,624,
802,872,746,162,579,551,236,909,481,247,102,736,100,686,593,804,447,479,419,
513,525,293,449,010,429,628,836,521,632,053,895,949,406,620,816,416,572,803,
555,044,773,151,726,357,430,120,738,730,319,196,874,008,880,495,589,203,644,
308,200,021,213,040,165,582,110,397,274,813,572,362,963,206,797,744,209,733,
000,844,609,326,871,112,058,878,569,800,040,235,032,344,913,168,274,117,243,
503,440,809,559,295,947,572,080,394,979,849,314,260,680,711,647,972,086,188,
652,414,099,465,847,586,761,020,697,408,960,916,104,627,673,271,569,807,491,
781,390,521,210,686,980,763,093,024,052,727,795,177,666,659,373,242,183,136,
666,855,734,391,770,254,949,529,116,844,374,846,021,425,894,797,236,248,886,
482,102,721,509,299,896,483,460,099,545,147,096,727,656,070,314,039,539,808,
020,908,978,844,626,647,187,599,876,871,352,517,389,092,766,176,428,969,772,
343,822,604,549,484,501,540,115,244,223,252,444,274,345,182,019,630,112,553,
314,337,652,733,332,391,772,141,067,130,597,565,302,079,541,918,593,611,978,
240,106,492,611,667,564,437,303,527,992,497,156,164,955,404,090,516,270,744,
167,877,940,554,259,280,578,847,253,291,564,991,291,027,737,645,225,828,945,
471,343,439,637,367,877,192,468,118,691,610,733,718,718,072,832,202,692,255,
017,391,179,321,766,387,091,411,231,767,188,493,928,850,448,714,328,311,027,
357,903,016,641,726,826,775,880,050,272,131,843,675,566,925,109,423,107,063,
704,542,473,943,869,484,258,654,067,618,500,951,385,224,975,692,347,307,697,
677,848,300,370,781,216,403,405,325,219,428,083,162,734,094,496,255,544,319,
809,938,386,075,271,378,992,335,194,575,648,746,535,130,406,891,094,640,508,
947,958,648,087,360,970,813,824,523,528,162,345,682,320,486,858,596,063,229,
689,620,158,796,918,098,825,221,661,787,048,836,581,192,124,356,336,100,673,
328,399,117,644,753,344,340,200,529,181,949,339,564,264,889,209,568,211,848,
103,425,974,209,563,855,419,728,684,042,637,381,772,242,789,802,807,660,271,
170,080,627,301,324,009,514,157,143,835,772,939,622,304,975,306,117,888,194,
157,621,153,443,848,103,370,428,423,635,902,014,397,416,192,279,896,526,419,
888,710,186,598,219,140,855,429,282,294,309,206,393,519,246,009,554,891,342,
235,382,095,366,472,182,559,056,261,825,733,983,038,938,372,033,469,521,382,
053,583,364,359,551,021,220,463,963,167,043,871,095,555,329,830,512,776,754,
385,654,699,962,593,183,957,335,026,487,087,925,505,104,325,514,612,144,999,
001,763,014,893,817,390,204,173,864,598,118,231,381,015,237,488,019,125,773,
186,254,163,853,781,647,435,039,417,658,456,023,977,812,204,797,770,815,484,
252,933,421,351,750,615,206,530,469,728,213,956,763,363,597,651,538,084,444,
327,397,278,237,769,578,132,837,779,340,119,817,409,862,102,741,888,333,167,
959,105,680,152,879,462,689,033,509,816,710,231,012,899,885,695,994,339,101,
584,413,175,323,894,853,624,199,663,628,775,979,825,051,541,172,150,448,069,
481,288,423,225,932,649,376,715,240,633,284,074,607,409,832,244,344,783,099,
839,146,144,309,769,741,833,773,819,057,659,781,473,175,419,315,588,781,577,
098,087,277,976,722,614,024,389,473,601,252,739,578,368,681,240,968,775,294,
185,538,899,929,590,981,614,719,889,666,078,534,647,325,303,224,779,744,381,
807,926,164,782,963,838,739,302,351,599,474,969,967,370,738,184,529,821,052,
660,731,146,800,152,894,623,980,600,175,740,937,696,215,629,538,885,895,800,
721,310,152,997,057,602,560,632,696,457,853,130,932,858,535,715,915,822,555,
167,088,736,712,267,603,154,109,622,702,346,084,193,048,943,062,966,734,669,
950,793,456,274,025,207,419,596,499,664,244,161,864,902,468,150,864,166,623,
954,751,150,317,755,327,633,926,707,886,757,308,720,635,782,216,994,110,699,
869,717,226,479,188,320,534,919,646,075,922,991,045,774,473,237,274,821,269,
588,055,060,261,331,334,767,525,734,425,994,233,113,781,129,415,255,660,656,
150,269,188,094,996,445,749,109,501,297,432,622,990,424,038,239,292,311,057,
580,778,646,466,828,744,914,724,435,153,444,308,100,247,826,818,825,688,770,
320,458,276,823,268,465,906,280,327,070,702,997,635,048,837,358,113,873,937,
573,097,564,904,029,705,778,868,789,588,085,330,172,208,370,352,489,381,934,
347,504,460,546,836,777,736,333,080,749,928,233,457,974,236,399,394,943,320,
508,295,721,269,858,601,786,601,708,616,035,373,891,232,627,483,695,498,267,
265,590,684,944,085,980,969,239,550,329,982,457,343,191,160,785,466,285,194,
753,060,242,322,465,904,428,871,662,905,689,740,513,808,831,170,302,009,385,
229,739,484,390,550,443,889,216,653,015,831,466,867,846,684,448,832,663,544,
015,808,216,331,025,412,520,492,065,570,036,301,578,812,029,242,126,276,893,
500,027,447,800,879,551,440,702,666,587,695,783,854,727,651,339,242,519,899,
896,545,049,195,086,954,386,468,571,952,165,820,347,006,958,271,716,371,136,
884,831,345,048,124,561,373,263,087,526,458,465,108,378,720,600,933,568,402,
720,252,013,414,436,067,895,778,889,918,193,127,425,731,281,551,233,585,887,
994,933,476,511,190,678,775,510,257,824,210,056,839,416,562,001,026,994,298,
732,411,598,199,728,730,723,992,382,713,447,596,296,871,714,333,880,137,097,
172,674,306,865,907,923,051,630,997,550,409,199,963,923,647,589,013,351,797,
170,467,951,307,092,329,697,450,645,029,860,003,831,272,671,010,890,617,243,
718,571,307,788,932,441,112,811,916,753,686,543,990,614,435,823,526,291,556,
390,786,326,981,617,315,487,473,106,401,632,468,421,885,311,993,968,568,155,
657,290,306,720,711,213,603,218,916,367,890,770,715,988,459,115,705,218,084,
411,655,268,971,339,040,536,054,943,646,911,237,017,535,707,954,427,881,450,
906,866,346,549,975,139,174,744,842,800,908,987,423,739,061,690,255,293,871,
514,427,522,872,410,450,699,572,571,786,959,737,417,494,240,992,096,654,677,
971,898,858,275,074,903,972,125,941,046,577,636,242,021,214,736,627,429,085,
790,397,170,196,577,729,859,793,873,657,718,928,212,704,618,632,087,282,218,
707,013,312,044,872,503,956,207,448,463,589,468,068,824,686,982,829,939,710,
485,682,403,648,807,355,926,364,783,248,832,612,137,466,042,636,958,446,504,
368,333,517,898,137,629,659,359,939,073,572,583,562,478,029,663,432,428,243,
277,150,636,894,772,237,568,903,544,571,797,754,656,529,062,331,435,930,298,
198,183,173,541,273,994,659,138,253,353,230,492,169,268,611,249,603,748,008,
112,191,119,715,051,513,919,360,159,922,441,734,556,039,016,885,229,404,870,
934,589,838,457,537,960,205,067,132,677,911,164,504,809,611,421,894,046,419,
425,293,496,175,484,286,067,928,672,502,814,422,436,199,531,215,194,063,665,
913,064,696,889,743,500,110,808,646,800,166,150,279,217,703,409,017,560,633,
443,768,271,789,255,877,878,193,515,536,994,947,307,147,550,188,492,846,503,
212,716,777,160,099,158,594,208,613,884,556,427,009,839,447,752,792,495,560,
204,986,803,838,247,824,352,122,935,954,784,705,179,415,573,619,397,809,701,
103,577,726,054,151,158,741,246,840,049,202,468,683,558,900,671,366,718,439,
168,580,716,888,932,891,358,378,904,741,362,525,403,427,542,641,583,279,695,
222,936,799,889,729,561,643,468,798,366,569,022,071,943,031,943,337,556,818,
195,536,777,367,149,122,153,072,226,750,077,343,855,164,584,742,759,324,572,
175,102,071,782,447,247,591,246,493,387,496,667,917,274,446,126,266,326,187,
973,885,603,482,996,579,399,380,007,242,992,798,292,226,212,782,045,828,607,
968,026,078,305,570,252,349,207,899,808,119,001,608,522,724,933,748,395,271,
864,856,710,520,288,709,524,451,218,087,239,181,754,515,338,949,827,148,898,
945,699,174,888,992,393,177,811,019,340,160,096,235,591,151,451,280,788,564,
355,543,972,896,778,129,866,534,395,089,487,354,033,751,730,697,931,961,509,
050,509,199,486,505,392,374,144,745,050,122,718,511,405,491,506,153,047,341,
914,506,021,509,308,932,035,475,188,317,169,393,687,500,809,144,975,416,690,
399,462,342,961,337,975,575,322,002,282,935,708,898,256,687,135,383,670,313,
583,806,717,484,430,564,549,654,043,562,446,034,119,301,371,879,592,771,414,
577,378,896,847,885,245,483,765,314,803,525,322,598,937,598,694,905,194,611,
657,169,002,236,971,688,655,991,613,145,671,747,635,105,890,304,248,226,758,
040,614,753,394,328,287,205,380,306,350,021,166,421,747,955,816,518,993,222,
725,793,541,099,218,726,892,116,981,926,103,780,049,299,856,173,326,083,437,
410,984,596,627,501,721,512,534,493,415,129,722,954,951,366,924,662,523,319,
895,534,662,662,882,703,440,934,383,099,177,025,606,520,485,444,768,249,395,
743,317,500,647,914,250,160,456,159,519,210,549,321,320,275,816,565,645,527,
072,267,704,537,145,814,847,330,883,880,799,942,907,140,916,925,548,721,170,
527,424,108,859,698,610,925,864,046,114,043,379,042,810,500,116,177,824,174,
140,190,961,595,041,746,389,662,989,785,024,050,928,604,921,268,388,515,848,
639,120,347,337,861,940,246,986,431,931,787,584,328,729,573,141,047,727,436,
112,568,997,865,622,734,984,520,653,124,147,536,123,541,362,567,469,735,070,
446,172,066,160,761,398,542,146,349,923,105,846,944,191,275,663,499,524,991,
501,777,448,640,141,778,376,252,191,083,488,462,518,764,101,457,147,183,414,
132,611,957,057,852,982,261,832,626,526,428,117,589,718,592,177,294,650,574,
589,796,430,423,121,188,909,871,507,572,069,757,885,289,184,902,858,196,666,
118,170,268,639,313,185,779,415,336,809,301,600,159,441,498,899,227,694,186,
072,360,852,987,464,271,655,053,941,646,843,058,571,753,691,029,990,376,818,
564,443,822,469,509,810,099,882,147,994,406,198,871,636,249,795,707,807,263,
796,178,764,433,178,262,846,717,700,491,345,277,796,494,612,755,140,147,805,
803,566,073,759,472,338,442,131,256,027,556,288,355,301,173,081,094,114,170,
103,002,562,022,820,725,487,581,340,067,869,774,205,809,915,317,056,900,119,
823,306,136,335,079,782,258,347,426,958,252,130,668,780,977,980,887,036,183,
249,992,365,676,849,009,262,785,143,585,049,647,259,718,804,992,708,798,262,
260,734,207,723,900,529,638,242,778,613,921,980,248,917,103,183,574,870,877,
074,057,230,846,866,824,513,800,585,485,815,515,738,647,113,894,891,282,163,
632,211,459,057,306,911,155,744,427,221,073,501,580,984,824,919,339,860,342,
931,056,584,667,503,821,777,216,610,794,335,543,657,083,877,594,046,648,457,
876,302,985,446,551,567,985,402,809,505,082,456,902,114,898,976,985,993,280,
421,024,164,421,388,470,942,427,162,470,512,734,100,493,932,115,391,434,235,
831,079,819,892,803,438,211,208,732,610,143,428,612,452,126,841,525,222,722,
150,635,218,737,576,603,295,188,568,959,396,715,055,800,917,263,060,441,302,
292,336,559,833,350,418,091,446,827,500,775,850,315,821,140,445,561,461,704,
649,312,005,899,059,288,726,309,695,862,992,262,407,592,345,028,675,872,230,
334,988,313,539,119,384,147,706,848,434,392,404,723,982,863,239,895,815,141,
620,584,652,078,996,595,023,039,435,705,550,839,874,660,673,699,613,016,324,
024,340,686,395,260,344,233,145,730,696,753,958,305,022,421,619,998,966,870,
869,239,732,405,002,145,038,083,872,766,047,623,768,832,805,864,437,895,404,
946,101,880,392,378,189,714,980,544,570,037,486,444,008,591,286,981,945,193,
132,863,325,006,023,166,990,792,387,598,402,966,400,158,027,103,485,540,181,
614,554,043,805,125,803,120,308,757,873,933,731,242,360,055,875,545,058,092,
408,493,232,886,282,260,317,653,720,468,618,938,902,169,574,438,412,676,216,
587,815,865,628,858,717,186,666,706,234,054,288,244,659,237,451,066,674,134,
463,623,365,963,204,283,892,404,163,596,132,265,076,695,271,412,122,681,936,
716,178,937,973,716,001,095,478,827,011,048,335,502,288,174,572,906,004,453,
675,565,524,882,671,869,939,171,820,389,747,091,076,636,689,583,395,298,382,
900,648,890,682,044,377,345,062,484,936,323,839,830,054,075,276,451,430,677,
295,482,223,568,898,274,045,369,520,657,724,892,530,159,443,454,974,468,170,
718,461,108,803,094,577,036,306,743,410,739,486,889,006,161,007,752,779,963,
791,307,449,266,463,977,711,169,285,794,544,693,128,090,837,526,131,073,987,
205,487,544,490,894,209,049,615,449,880,136,301,981,806,542,811,389,860,116,
787,789,024,673,879,216,143,605,407,825,777,077,337,798,349,283,254,683,164,
138,834,471,914,711,956,777,447,151,128,716,410,960,991,808,577,530,752,890,
511,145,199,457,918,706,759,640,226,072,236,746,615,114,157,078,570,166,192,
547,808,125,141,429,274,067,391,985,794,896,397,829,078,909,500,088,971,554,
411,555,614,624,663,272,290,788,973,093,560,342,305,930,734,263,623,064,055,
512,166,971,722,772,988,453,942,605,502,087,520,185,477,812,176,566,899,518,
266,203,347,964,168,493,133,343,244,533,079,924,367,635,007,273,131,292,862,
052,863,319,984,866,515,511,179,314,605,256,389,406,288,083,029,637,919,639,
941,330,876,798,830,252,317,250,245,323,085,196,172,966,910,743,960,936,193,
073,493,270,468,852,236,184,852,048,162,476,250,797,748,497,215,159,467,074,
410,139,533,628,689,208,021,540,186,705,572,948,311,399,955,277,129,126,587,
157,762,680,659,116,828,470,117,751,008,501,202,161,471,096,948,297,929,122,
405,866,056,481,700,856,909,417,077,144,006,067,184,953,625,973,952,048,403,
382,689,716,408,532,210,304,991,865,062,675,534,256,705,780,966,098,764,395,
785,338,590,539,836,964,702,088,662,815,183,210,963,058,323,385,320,037,894,
741,379,835,067,517,414,984,650,313,791,896,101,341,270,168,070,992,104,014,
740,100,218,467,751,537,529,693,551,516,249,067,002,762,635,139,530,477,707,
991,784,550,614,157,922,248,249,044,183,515,696,846,974,814,299,543,736,014,
960,446,673,626,909,448,044,936,128,432,465,692,084,684,888,290,800,729,934,
496,867,907,452,681,689,326,885,785,465,338,809,102,789,490,151,730,871,226,
626,357,182,812,516,762,784,434,124,152,331,981,000,211,653,412,138,907,010,
558,311,952,563,454,512,967,194,654,869,716,287,566,610,014,794,183,881,941,
843,666,186,100,293,926,692,319,635,615,549,426,922,905,536,412,332,662,649,
766,832,373,332,150,007,800,052,891,963,097,195,361,293,680,131,685,716,317,
714,911,977,062,276,817,172,847,006,480,412,837,618,782,686,114,463,748,345,
514,244,910,979,993,365,006,641,640,502,414,404,088,199,855,607,150,053,180,
067,926,445,748,503,178,741,275,812,911,541,152,970,366,265,641,822,178,373,
558,175,076,936,914,551,344,791,497,323,893,707,210,375,985,209,082,647,529,
638,483,804,451,532,010,882,803,549,403,836,159,953,973,069,545,783,865,443,
551,613,483,397,666,919,357,133,097,883,150,199,362,127,016,875,615,772,883,
467,399,972,475,691,091,036,651,580,401,048,917,166,747,015,230,743,747,835,
383,633,302,168,210,425,766,691,466,561,680,976,390,576,721,883,312,530,610,
105,841,920,572,554,453,432,295,688,716,942,391,938,785,484,061,360,706,026,
148,363,883,863,378,006,950,155,951,923,621,785,048,899,887,519,957,698,258,
638,039,569,758,904,286,391,385,827,745,614,723,780,286,016,799,856,968,458,
118,691,186,020,436,594,783,021,992,721,791,253,495,798,069,667,526,344,372,
886,558,301,094,486,909,064,094,331,216,907,983,929,384,202,653,491,225,533,
785,309,008,668,900,690,929,356,913,172,187,901,026,768,786,088,767,001,128,
486,356,195,328,631,225,768,640,518,995,383,880,759,794,206,402,333,071,815,
810,037,313,358,241,309,460,592,250,670,379,322,146,940,274,032,301,862,184,
532,602,856,129,975,570,098,765,061,490,393,534,211,206,173,508,709,848,955,
453,464,801,434,247,105,601,312,666,997,507,906,449,817,885,353,233,558,899,
719,050,364,024,738,624,952,247,865,940,241,852,790,632,934,262,599,358,418,
566,250,436,222,453,698,012,654,503,097,390,136,898,208,941,600,382,843,098,
347,042,329,711,946,415,954,167,737,034,601,923,227,784,635,712,854,130,449,
944,353,108,374,806,587,127,179,034,794,810,197,786,997,365,706,724,603,669,
642,049,546,543,332,202,013,478,203,086,979,815,397,254,978,913,980,616,393,
890,769,449,091,877,520,261,628,852,875,592,920,785,198,933,313,196,867,224,
331,532,343,826,734,835,654,476,329,616,537,741,553,860,459,122,831,864,232,
021,516,623,659,652,166,817,947,912,083,973,117,939,623,747,873,628,047,525,
669,424,288,053,369,577,490,218,313,348,517,184,621,172,018,175,440,988,743,
641,239,414,446,968,975,790,483,857,495,681,190,289,899,515,563,534,464,932,
692,131,504,198,310,671,165,382,179,602,037,373,675,274,945,293,093,794,615,
194,517,989,852,353,842,673,072,248,572,137,315,165,068,193,285,802,625,242,
344,606,312,395,612,670,265,164,901,083,464,129,287,675,233,880,021,859,654,
846,264,483,215,515,915,441,142,697,901,200,641,515,262,693,955,199,188,656,
201,649,043,271,289,728,213,590,817,432,778,792,506,385,748,854,214,961,244,
196,928,986,041,504,412,435,751,550,862,381,179,664,477,188,742,884,280,537,
010,461,974,449,572,022,963,639,995,274,774,493,834,929,456,889,858,571,018,
078,828,604,428,856,806,928,375,820,006,412,684,026,084,067,591,372,015,743,
217,614,262,674,675,477,058,118,352,475,913,350,495,424,560,678,293,615,679,
951,488,792,152,951,014,822,521,388,548,401,346,271,025,432,909,222,982,626,
738,303,776,703,532,098,718,306,630,576,753,789,288,316,948,932,735,103,344,
340,065,147,524,997,282,802,960,744,405,866,005,161,246,957,922,216,698,849,
231,373,606,142,918,138,256,120,744,979,784,719,058,525,812,059,050,795,658,
021,765,028,606,524,175,407,992,822,861,563,910,393,170,331,964,714,761,202,
582,895,935,037,529,661,436,704,599,633,965,827,827,128,658,395,307,006,609,
740,988,595,746,542,883,942,948,093,264,751,593,758,766,112,336,202,729,275,
903,757,126,040,854,771,209,183,173,043,156,521,163,723,023,273,066,451,531,
823,143,147,412,987,897,322,421,399,976,880,771,542,045,907,216,201,929,254,
064,854,352,898,361,256,759,067,578,236,796,316,502,862,442,161,573,357,654,
878,876,762,990,472,755,774,339,856,583,329,349,943,275,663,782,784,636,492,
282,058,933,218,616,966,215,659,139,144,597,115,830,385,212,202,134,024,516,
407,737,564,613,957,266,476,434,899,371,095,902,171,279,768,815,524,048,779,
019,538,200,166,198,920,005,457,297,351,234,604,388,293,603,755,318,921,569,
728,581,131,082,848,932,230,789,242,812,094,593,215,426,493,318,858,925,133,
294,290,769,196,218,639,328,157,360,398,878,798,602,132,431,347,616,264,542,
192,798,992,745,616,486,659,577,842,516,811,160,389,728,851,130,965,647,374,
417,621,765,600,938,397,361,375,975,815,466,837,604,159,087,555,053,964,956,
157,705,097,043,945,983,800,396,485,084,483,709,438,159,358,026,415,724,840,
077,611,591,534,855,710,356,084,844,378,026,595,186,240,565,830,717,318,418,
807,010,434,653,526,784,260,525,116,717,409,269,917,537,952,360,555,763,823,
372,803,539,714,901,890,787,161,860,353,155,106,014,553,454,811,399,015,916,
672,094,380,157,074,536,091,140,318,922,524,252,519,976,485,605,204,259,874,
367,642,590,299,325,849,712,099,847,935,705,353,574,196,723,604,452,451,088,
591,650,230,065,478,401,749,594,069,860,948,924,042,344,277,388,892,799,922,
929,015,035,558,751,881,141,524,466,578,130,857,180,823,800,827,250,844,131,
689,907,374,198,937,404,193,088,246,374,833,195,486,635,605,600,991,488,911,
684,232,645,581,759,971,307,401,666,461,734,699,513,672,782,828,697,409,033,
008,796,332,326,483,833,477,818,227,151,494,467,485,198,856,348,295,765,804,
618,833,718,598,596,052,752,711,584,031,128,808,569,242,325,076,366,449,457,
947,642,180,306,745,714,726,336,034,463,310,652,469,801,463,576,142,080,603,
446,887,069,977,521,712,215,955,238,818,386,431,550,207,889,713,123,219,454,
616,889,785,227,039,225,296,294,903,998,454,704,769,235,368,692,402,416,878,
850,539,269,211,367,190,042,950,904,932,058,622,783,187,159,816,699,780,941,
168,602,052,387,762,842,584,471,045,624,133,496,815,577,196,227,217,996,054,
363,693,139,041,311,863,693,278,187,562,627,270,013,533,991,312,879,379,111,
524,936,650,145,637,177,501,262,307,953,645,741,226,037,252,767,455,441,781,
764,749,950,088,937,387,336,623,620,074,785,203,246,186,821,617,748,093,005,
599,139,906,707,320,691,586,982,646,760,173,985,384,410,868,092,872,015,270,
134,990,772,094,438,249,970,378,086,192,400,076,088,759,896,468,346,366,945,
755,908,589,005,279,391,174,580,903,282,452,218,523,890,565,232,472,773,430,
480,584,019,908,695,736,433,320,631,265,795,237,514,344,982,023,896,127,885,
636,431,473,558,779,663,291,829,744,523,122,237,301,297,011,318,158,471,980,
597,117,361,360,568,406,838,507,563,896,083,655,218,641,790,920,467,740,523,
772,845,299,344,849,279,121,085,699,455,901,882,574,872,541,320,748,567,810,
189,135,606,459,412,692,189,630,481,886,034,470,361,905,064,965,462,865,996,
126,201,232,483,611,168,463,867,878,699,914,066,375,912,550,757,669,029,818,
929,312,754,183,805,310,021,090,811,688,317,597,058,659,490,810,357,359,922,
896,288,487,283,961,422,296,156,713,833,369,605,176,221,652,870,888,371,424,
869,302,687,226,329,985,514,854,635,090,688,281,365,161,749,083,358,093,637,
518,395,265,932,215,077,833,564,600,757,696,627,399,751,416,475,463,650,185,
187,088,605,191,698,390,509,144,318,282,151,410,990,895,029,831,638,098,328,
510,615,441,651,257,695,229,789,067,135,499,421,018,683,219,020,222,088,503,
850,465,805,514,314,434,612,400,345,916,130,488,591,097,243,183,141,068,698,
597,597,301,393,517,100,778,856,919,738,188,238,375,015,169,872,461,834,107,
800,800,108,656,335,328,905,818,243,370,850,648,101,682,046,522,789,191,083,
049,482,629,574,845,054,913,682,082,638,037,120,620,619,637,247,913,851,553,
593,553,671,690,356,387,697,181,159,891,551,429,156,839,243,553,595,643,832,
164,632,139,907,859,269,190,957,293,273,215,698,347,512,496,963,534,182,313,
076,330,173,105,086,826,780,321,879,316,148,617,798,925,669,319,831,089,684,
209,479,338,750,270,774,674,559,840,320,025,060,863,176,114,619,197,424,996,
896,994,279,094,086,342,114,563,989,273,838,055,000,759,356,671,596,533,845,
708,308,984,068,285,432,874,436,851,234,781,699,161,236,572,466,458,366,896,
686,663,118,120,941,011,873,880,802,695,751,282,755,480,557,123,429,004,105,
767,798,144,537,322,648,376,654,742,109,730,152,417,890,782,974,537,620,486,
995,677,523,707,812,931,945,507,257,630,325,155,918,775,946,901,434,069,823,
321,559,397,015,776,050,241,414,770,043,245,298,145,743,966,116,676,535,785,
007,709,603,696,426,681,001,755,303,236,548,714,148,071,277,600,036,120,563,
289,333,589,447,465,832,046,485,694,175,280,630,754,500,948,098,565,534,902,
123,620,787,735,780,242,161,207,043,633,453,373,159,084,365,882,075,340,611,
032,907,746,614,459,476,091,156,316,318,795,194,059,865,271,525,171,868,948,
872,763,310,162,055,357,671,178,969,690,984,442,866,218,905,896,962,054,468,
965,315,178,091,451,195,526,253,284,250,619,397,480,360,753,351,814,336,849,
497,154,065,819,683,387,036,140,015,410,911,794,331,232,041,012,077,387,871,
675,130,783,243,827,288,538,002,915,074,912,788,013,194,372,685,127,299,257,
345,665,017,968,523,000,347,318,858,631,946,801,390,001,889,519,094,914,041,
962,073,932,375,090,638,941,046,228,094,208,125,820,521,370,836,138,777,506,
192,235,176,319,819,061,033,844,406,289,742,706,058,413,884,731,820,642,909,
929,634,735,848,680,999,146,164,099,164,596,428,586,518,225,490,571,746,261,
725,079,349,113,829,462,368,839,420,291,630,826,580,600,145,243,339,324,431,
368,306,285,745,177,685,974,203,919,407,908,992,578,364,334,472,075,713,933,
197,080,546,809,740,156,445,239,848,161,451,891,771,345,172,447,301,047,027,
351,053,040,364,046,160,159,988,023,844,936,651,734,204,252,895,910,793,221,
606,140,285,370,175,195,189,567,967,669,184,094,219,688,287,706,448,743,546,
261,337,250,833,710,573,479,977,541,265,248,098,211,891,284,576,398,279,009,
436,456,613,282,845,596,593,375,188,846,342,720,935,700,177,586,961,461,582,
744,074,696,494,658,998,836,120,298,845,111,058,443,317,828,516,175,054,868,
860,275,710,620,490,383,060,536,477,504,733,947,318,362,443,360,872,451,667,
064,921,247,109,087,713,859,023,086,272,057,987,366,061,445,214,673,261,305,
238,056,450,920,467,003,617,759,351,074,475,956,296,666,180,093,374,210,880,
902,195,356,314,656,963,297,056,585,216,658,275,698,998,646,235,978,281,857,
332,123,122,136,991,923,955,550,960,681,339,269,748,631,498,359,092,811,343,
086,445,951,262,830,260,135,794,682,129,866,848,495,154,604,031,836,414,288,
628,442,509,896,385,550,542,548,630,150,199,268,726,046,492,860,047,454,582,
563,547,997,125,063,861,702,071,171,427,383,023,063,550,859,414,293,302,110,
678,820,104,633,048,049,842,623,383,626,273,853,492,018,351,957,906,683,082,
744,381,739,981,681,815,971,227,121,427,244,538,758,275,446,229,060,102,337,
640,674,163,876,912,129,718,586,032,649,085,353,739,763,659,443,299,568,857,
162,199,714,103,942,237,997,771,337,684,091,650,180,083,280,362,326,253,238,
160,281,234,848,476,892,949,001,940,345,010,388,087,113,644,898,192,012,063,
739,473,923,146,768,080,189,123,919,145,370,863,115,743,282,757,238,489,108,
202,504,231,023,374,847,719,102,600,226,176,526,168,887,486,523,935,137,464,
155,056,021,267,536,113,078,970,405,997,574,591,600,743,580,993,160,195,134,
115,363,253,756,060,541,631,969,320,163,425,141,794,603,524,518,316,058,661,
321,092,895,453,127,610,762,722,709,979,434,388,296,332,542,063,826,975,725,
353,522,117,346,027,775,864,780,328,584,591,498,071,144,744,852,071,481,702,
160,670,066,969,128,441,086,370,286,936,654,044,287,236,663,634,812,241,011,
468,906,852,641,304,072,062,771,933,071,544,453,106,968,611,261,613,028,350,
548,459,331,962,490,753,576,649,247,695,759,384,371,541,648,584,910,010,130,
348,770,082,223,640,955,527,969,682,086,490,629,929,148,224,978,769,745,004,
317,365,474,985,825,385,627,622,905,902,252,289,794,112,652,724,426,762,288,
177,066,649,296,210,391,381,821,613,886,899,756,198,525,641,901,560,917,472,
711,569,623,382,265,485,014,412,719,813,444,743,073,803,496,163,713,569,484,
108,186,800,533,777,656,811,809,880,792,376,127,685,508,807,620,474,434,463,
401,281,373,545,612,785,344,683,805,794,918,373,927,927,033,840,226,621,574,
479,177,645,031,228,971,071,713,096,576,298,241,396,574,211,882,804,185,658,
773,235,714,700,045,581,427,475,232,507,737,377,008,549,479,370,215,632,944,
467,430,722,221,187,523,315,737,353,717,209,707,647,460,122,964,225,325,984,
731,777,369,212,978,811,457,699,029,700,691,915,105,703,811,202,700,338,448,
149,825,580,830,711,472,014,878,866,774,915,724,632,449,327,503,517,759,723,
902,717,936,548,661,146,951,224,400,773,961,485,270,777,601,731,078,730,623,
815,124,029,642,119,404,781,967,382,902,261,079,456,980,614,074,116,934,499,
594,227,847,782,819,441,563,244,130,053,404,573,954,293,842,603,266,115,574,
905,632,417,877,810,478,324,748,099,748,867,791,197,940,847,574,803,151,268,
315,144,176,603,688,044,819,154,908,647,131,792,255,878,988,276,563,947,955,
030,046,921,807,605,339,591,548,376,472,726,499,570,988,474,062,502,352,447,
178,424,402,661,643,335,069,993,839,580,739,151,507,665,318,967,846,897,375,
848,797,941,250,472,395,556,433,297,370,245,076,148,433,310,504,071,105,649,
894,982,160,291,750,955,200,138,683,911,386,894,084,792,967,240,642,626,308,
850,384,251,999,291,857,673,630,916,500,914,197,741,255,135,435,520,242,559,
389,089,601,261,756,413,187,847,908,599,370,852,114,242,251,179,878,421,026,
069,982,159,300,528,378,141,368,100,528,031,799,961,443,086,601,004,507,520,
376,567,639,477,828,200,763,986,495,225,050,473,945,214,038,602,347,564,332,
783,807,570,968,885,529,193,184,755,844,090,429,711,661,579,619,041,932,770,
435,496,284,042,947,698,803,150,145,886,462,987,266,258,262,472,975,368,577,
266,602,455,110,155,483,134,055,196,357,925,979,291,176,926,408,256,096,636,
711,421,123,795,280,664,688,050,706,069,155,070,073,640,116,233,045,973,018,
139,380,514,602,681,548,714,452,032,697,678,079,628,347,279,695,720,419,525,
647,065,919,771,013,223,379,496,381,940,929,990,910,986,237,163,152,502,261,
851,580,093,817,668,877,553,807,854,412,959,756,242,850,117,221,131,246,088,
680,882,780,833,019,644,836,840,265,641,737,091,105,920,828,052,421,179,106,
750,210,999,887,813,736,123,576,676,401,314,640,641,310,317,312,151,005,237,
789,054,571,615,268,406,791,536,731,791,056,943,825,321,732,870,608,869,701,
985,197,647,229,656,938,298,555,256,110,335,176,818,497,616,193,118,874,599,
780,776,675,509,009,116,428,125,214,159,800,916,991,148,079,467,433,653,166,
117,781,477,739,174,585,483,428,092,247,220,219,003,545,583,642,753,297,086,
390,504,544,195,810,097,165,141,945,025,611,950,269,794,960,909,845,859,280,
554,153,557,383,335,647,194,759,047,734,692,409,550,908,487,311,478,571,351,
309,153,113,804,090,331,032,972,055,772,538,773,773,529,487,012,406,015,403,
048,601,487,457,385,963,671,722,605,899,229,670,342,309,877,948,678,400,478,
837,857,953,779,958,776,717,424,882,082,162,636,577,525,767,525,903,668,302,
656,779,131,493,491,000,112,207,139,434,558,780,032,714,245,099,274,331,345,
554,019,319,845,541,215,314,800,001,688,665,324,009,798,788,384,362,583,691,
546,800,243,318,030,791,985,067,017,818,347,834,162,773,685,014,292,919,105,
371,172,561,869,725,517,993,752,629,355,946,136,685,131,014,964,982,992,045,
954,046,430,204,148,265,060,087,841,901,586,599,753,135,849,752,627,367,319,
872,069,087,851,139,438,296,370,899,769,294,679,695,992,778,814,795,398,105,
862,353,824,385,680,285,297,955,196,647,471,112,356,604,112,281,447,790,429,
149,362,964,297,469,698,201,207,447,574,292,412,309,928,487,912,614,206,814,
605,007,424,320,175,233,646,447,693,768,358,800,947,352,678,911,175,338,134,
467,359,633,703,017,900,671,126,829,888,281,149,606,054,632,986,775,587,957,
965,691,791,713,585,600,145,334,083,265,978,440,698,209,622,931,777,399,481,
899,252,399,712,637,197,284,044,889,083,613,728,594,342,424,197,752,926,074,
263,961,192,285,149,257,414,660,619,036,663,073,400,003,140,661,466,610,554,
445,059,912,701,677,424,124,659,069,049,927,457,587,154,821,760,983,106,742,
881,064,044,450,074,660,542,547,559,461,605,744,595,339,477,635,877,100,176,
511,729,185,927,834,512,644,059,189,936,768,791,354,618,631,092,687,581,796,
637,936,085,874,923,659,115,877,282,807,776,549,926,219,892,098,323,876,622,
373,895,157,336,623,778,600,141,956,702,607,194,761,968,564,680,989,729,588,
876,629,127,693,583,823,051,736,850,941,762,712,676,504,109,193,845,571,424,
675,762,976,904,359,576,714,966,316,342,515,199,326,839,564,608,511,105,678,
854,904,081,303,851,116,155,396,102,769,424,337,534,732,169,782,017,130,379,
381,389,464,375,595,029,415,415,888,508,006,098,046,530,037,762,400,210,656,
663,557,419,905,662,022,160,813,258,184,798,641,006,771,428,626,363,280,747,
768,310,539,601,973,535,447,379,668,471,526,801,504,462,596,477,465,464,470,
082,555,666,840,858,136,672,937,070,966,163,480,639,837,087,214,460,345,202,
461,316,510,764,417,683,355,184,790,153,458,412,334,198,830,714,312,655,223,
993,708,916,546,780,462,393,497,819,421,681,380,807,784,279,039,356,382,682,
233,486,798,999,980,056,875,872,421,876,592,648,954,110,438,871,319,475,885,
748,793,303,606,444,576,973,658,952,156,211,734,045,999,134,265,268,103,555,
202,753,876,728,460,324,430,259,607,418,089,251,143,606,739,209,748,166,557,
995,706,530,259,622,828,790,874,796,510,973,619,741,326,845,287,695,888,982,
513,706,120,116,434,333,599,028,208,231,388,691,501,354,131,514,395,724,043,
952,454,491,251,445,201,000,984,863,490,380,584,780,639,456,922,351,283,674,
990,325,974,649,526,611,451,891,879,630,732,200,059,436,266,681,382,592,315,
261,300,865,980,215,156,349,894,303,503,029,649,275,951,702,729,502,464,997,
824,769,761,017,766,778,479,815,616,175,278,496,813,521,229,944,809,274,464,
266,832,873,595,782,007,113,361,242,684,298,094,925,534,360,093,657,572,300,
742,092,329,027,858,644,876,127,210,658,730,436,536,942,783,321,076,854,079,
578,429,337,703,222,002,720,972,780,932,321,610,347,861,593,690,614,082,341,
007,854,390,026,792,847,438,897,481,761,223,527,596,015,771,829,053,238,662,
426,707,466,209,769,417,240,743,907,793,731,634,229,386,813,770,056,530,746,
879,803,433,438,909,047,998,728,094,068,402,543,061,236,271,910,269,906,907,
013,386,485,566,978,251,716,185,557,438,952,606,894,198,757,981,109,470,866,
593,484,479,132,264,175,819,108,753,363,003,564,896,772,501,390,112,185,977,
177,567,890,254,937,225,520,345,698,601,855,909,955,563,327,306,503,186,941,
399,888,086,168,648,663,368,750,260,319,483,534,655,435,865,952,615,792,864,
271,788,178,235,376,736,744,774,483,675,874,634,184,838,505,206,150,090,497,
618,837,667,123,767,001,011,463,153,131,353,837,877,877,441,919,027,581,469,
793,403,957,336,767,824,930,443,082,603,842,545,575,330,119,268,627,878,376,
957,451,421,954,259,783,463,790,455,772,017,589,660,056,135,331,305,947,675,
925,763,736,211,818,233,274,799,646,011,137,216,043,191,650,129,455,267,556,
413,566,191,882,034,739,535,861,054,134,757,320,499,081,713,008,710,978,075,
437,309,325,226,748,824,908,287,051,600,988,985,544,197,831,025,883,172,282,
047,909,771,797,126,451,697,815,536,342,632,919,349,576,014,976,823,411,613,
520,724,276,400,267,979,567,779,977,122,920,565,050,088,039,073,767,800,847,
738,493,989,650,087,923,013,122,671,220,266,744,794,817,827,678,215,168,837,
866,686,956,843,059,378,892,742,319,734,832,473,782,320,822,765,422,084,363,
371,478,833,035,595,970,742,224,160,612,441,139,262,029,434,585,646,396,382,
780,466,255,090,163,184,434,330,019,638,892,820,841,188,420,796,563,263,084,
869,576,461,522,743,125,326,783,565,743,783,881,915,473,514,126,259,220,914,
721,455,608,910,885,964,336,197,111,444,225,212,028,566,030,283,039,562,027,
276,071,631,736,537,347,339,755,914,423,512,392,454,654,996,256,844,862,976,
152,766,608,676,702,786,421,387,398,217,585,869,401,554,093,336,399,711,175,
524,896,175,054,704,762,201,303,357,638,750,632,733,232,034,757,415,128,076,
701,715,432,633,600,094,726,449,309,107,017,424,731,589,134,104,738,757,956,
812,699,795,194,510,094,400,496,717,587,293,740,369,005,910,868,010,390,794,
179,131,186,294,448,456,611,814,525,053,188,988,255,370,818,185,030,621,238,
144,830,774,945,138,583,251,972,052,567,019,373,693,359,642,388,547,144,146,
903,524,019,987,417,979,783,077,938,964,391,216,455,169,537,671,748,216,951,
123,307,877,019,762,326,240,854,936,540,342,713,567,003,578,250,133,753,559,
295,508,342,116,032,077,491,817,640,340,512,354,608,324,347,968,386,106,843,
252,630,595,612,280,407,530,669,722,355,059,784,141,742,353,888,202,881,367,
048,531,911,969,107,467,151,622,685,989,418,353,449,662,641,035,722,381,529,
512,470,051,513,073,047,847,885,835,900,132,804,172,993,562,260,496,989,747,
938,999,216,623,612,318,185,629,462,206,843,102,476,468,044,135,902,639,278,
019,133,525,019,547,398,571,642,119,285,384,626,251,501,301,588,076,072,968,
790,627,063,303,231,382,712,007,626,249,291,638,733,798,703,420,962,301,684,
818,169,599,683,295,942,926,626,887,532,353,618,527,205,082,152,323,480,152,
619,403,742,731,738,630,645,100,216,604,773,213,130,239,487,594,251,670,277,
676,289,265,013,688,146,640,661,661,626,941,735,313,957,773,591,013,653,178,
365,248,447,159,613,164,089,875,343,846,640,099,398,407,983,770,595,108,073,
330,343,004,597,191,062,305,823,370,254,663,620,894,583,957,946,964,661,247,
229,768,552,666,098,498,900,395,526,129,099,999,343,383,412,451,294,028,949,
784,574,370,562,008,666,856,234,264,018,202,107,972,945,490,776,849,922,553,
947,286,583,813,312,521,622,075,836,306,252,671,775,924,242,589,724,570,411,
873,825,829,488,270,396,395,422,578,065,439,326,428,701,838,829,444,272,923,
886,889,523,869,607,973,327,375,751,752,967,058,862,411,996,928,371,091,664,
377,620,269,049,778,874,242,642,473,887,681,359,480,732,621,923,753,894,464,
623,190,247,168,211,441,033,655,994,928,284,466,598,660,645,150,123,368,333,
599,669,705,760,060,105,728,763,805,954,476,907,827,942,208,171,719,305,546,
171,142,382,661,024,060,912,566,934,687,360,749,188,032,301,766,166,848,714,
303,891,483,612,089,791,005,599,031,985,383,533,795,354,319,305,109,724,599,
082,988,208,989,458,734,376,276,804,973,111,204,449,044,863,211,053,478,171,
331,516,951,837,964,620,958,739,098,515,361,918,756,615,352,417,878,144,171,
787,255,277,609,227,360,938,957,407,338,374,501,465,153,004,868,271,890,012,
663,289,182,704,820,700,832,239,399,014,163,610,387,461,151,083,609,025,474,
865,100,557,515,860,272,726,032,482,797,813,841,533,891,081,521,259,126,251,
403,143,759,083,796,960,498,935,692,585,574,468,321,439,671,507,208,865,743,
189,828,857,490,534,451,541,789,664,211,782,879,492,653,593,174,913,455,843,
632,080,983,497,104,804,388,767,949,101,867,750,350,557,011,779,631,540,677,
742,320,970,667,108,256,888,676,580,619,802,829,145,234,751,987,449,541,890,
151,400,633,791,733,440,301,425,242,509,270,703,101,929,018,275,363,276,664,
205,906,882,848,696,707,599,699,222,870,447,395,429,132,345,576,102,354,644,
004,830,958,140,942,610,522,796,438,957,191,583,836,363,276,835,247,703,274,
130,192,126,509,237,160,084,220,934,419,674,761,363,389,736,462,829,397,892,
278,116,240,675,425,424,972,352,123,008,583,743,113,571,851,503,920,240,278,
076,716,521,719,798,694,882,173,984,568,047,351,750,612,210,076,706,202,449,
815,700,823,596,489,776,556,653,635,222,389,055,202,095,364,661,988,826,356,
568,526,013,513,897,825,582,421,358,123,577,714,648,183,678,338,633,704,722,
208,166,208,370,650,947,634,662,538,056,270,341,035,859,864,101,553,676,022,
260,557,965,937,461,684,824,848,185,345,574,616,536,491,760,347,844,890,514,
582,505,170,352,407,954,459,838,941,185,539,682,798,448,879,277,638,980,439,
199,520,271,704,142,737,895,136,988,996,127,263,582,619,362,471,920,561,738,
769,553,361,494,136,646,120,169,540,277,878,744,355,317,382,559,768,260,690,
300,096,530,091,833,346,560,006,649,461,710,668,978,493,377,496,557,124,326,
845,515,115,837,693,605,166,502,177,837,398,061,009,918,688,634,472,840,122,
871,696,048,658,118,382,115,401,747,154,494,468,456,961,052,362,363,328,019,
999,545,721,993,796,372,150,688,948,393,690,487,794,784,079,131,057,503,476,
463,537,344,618,884,653,609,622,040,447,791,309,401,639,367,440,015,373,092,
811,824,006,736,176,009,042,620,793,446,295,920,434,223,166,186,482,499,789,
768,064,422,042,635,241,034,157,593,209,532,984,705,639,022,508,785,060,597,
484,314,789,198,234,359,763,649,378,606,325,079,420,293,586,141,114,434,693,
969,004,519,264,589,350,487,624,722,896,170,506,391,693,573,323,286,137,084,
441,600,348,779,068,464,505,433,801,644,326,731,521,469,106,094,506,197,564,
718,902,698,207,444,844,471,671,336,666,631,267,979,095,276,972,595,527,051,
069,468,057,607,677,823,669,631,114,504,186,799,452,095,097,595,337,028,577,
775,425,189,534,603,584,114,010,270,491,496,621,854,254,846,016,503,292,493,
076,975,830,178,005,497,380,287,102,082,196,089,037,957,109,956,644,896,342,
425,771,966,141,028,548,581,500,940,763,389,180,875,041,089,654,329,353,117,
978,405,992,013,625,649,308,638,834,465,545,988,318,021,360,989,988,521,764,
378,635,071,239,973,902,129,752,164,586,755,973,884,653,283,939,022,341,670,
829,696,829,224,848,591,103,818,353,613,391,256,535,815,115,184,719,676,515,
400,476,671,256,870,146,820,787,529,708,925,505,720,108,742,049,706,775,482,
559,063,061,814,854,023,401,492,056,856,585,577,680,795,189,806,636,962,388,
404,044,370,804,917,519,202,816,305,041,120,276,243,882,876,650,957,947,429,
918,524,782,474,769,912,701,031,534,303,931,034,260,689,804,619,077,239,128,
582,902,369,792,222,564,131,717,572,520,348,849,149,525,297,371,508,486,076,
390,427,322,924,898,974,115,543,103,674,988,372,172,377,274,216,302,827,719,
992,996,731,072,495,206,341,630,079,484,234,738,836,797,836,577,003,653,351,
634,123,509,423,117,823,251,210,962,207,661,955,010,400,999,413,379,468,816,
927,790,425,138,127,168,544,768,220,715,091,650,570,162,819,810,049,972,575,
607,102,172,986,720,202,078,496,481,629,289,247,804,894,939,743,122,978,974,
010,642,221,547,554,590,966,615,087,148,602,184,509,348,072,502,989,427,082,
930,480,084,869,274,447,240,640,734,750,516,019,229,533,570,482,853,861,327,
438,400,388,107,524,730,941,272,118,720,931,779,691,514,415,049,129,513,845,
716,762,171,704,313,589,785,663,482,031,532,498,419,785,998,936,268,290,435,
706,797,185,493,546,600,411,091,570,881,005,592,556,804,702,568,195,183,891,
284,729,149,888,451,632,242,078,922,702,078,659,795,250,755,192,873,857,791,
203,832,350,162,117,653,663,045,100,465,145,304,866,173,667,492,816,197,277,
574,981,370,686,218,309,167,113,040,414,459,091,105,509,169,530,611,403,210,
052,068,213,498,803,409,832,965,584,655,547,588,235,713,582,614,184,188,492,
598,620,997,345,566,465,765,090,975,971,015,087,384,692,011,755,755,649,075,
524,458,811,704,435,809,670,029,313,112,937,303,397,780,147,132,496,074,889,
933,153,975,713,532,951,843,640,766,259,402,375,368,038,657,497,522,679,515,
048,096,617,076,055,237,351,107,329,365,778,364,752,535,634,161,996,507,663,
151,894,830,707,100,195,520,078,732,052,877,209,342,888,083,100,702,484,684,
886,376,554,460,929,577,492,485,381,371,016,912,362,653,709,620,138,901,987,
040,302,892,109,712,223,399,651,809,242,727,549,400,247,544,784,672,463,367,
251,441,287,992,332,550,012,144,743,911,956,055,592,114,543,370,982,569,160,
817,984,455,095,849,916,586,175,619,893,005,816,527,490,071,108,005,622,013,
968,396,358,452,963,874,805,882,796,491,633,477,853,352,756,297,178,645,172,
849,902,657,299,085,492,766,725,320,903,816,578,151,658,554,811,757,686,998,
599,824,436,138,041,638,282,951,870,326,757,412,927,835,689,480,073,564,637,
987,264,605,897,116,942,647,993,652,841,628,379,404,857,834,176,691,947,847,
981,828,496,871,353,282,024,695,703,161,925,257,901,684,969,041,950,589,993,
311,541,613,076,467,453,455,724,876,418,971,153,268,947,805,576,450,397,955,
674,636,680,815,895,782,166,318,960,616,270,785,787,068,824,733,133,046,502,
841,660,910,127,121,202,670,180,147,150,892,055,158,006,246,175,994,701,882,
408,998,081,273,898,274,681,397,697,778,356,802,514,103,663,700,427,852,917,
296,079,085,012,259,741,862,577,448,050,421,630,964,448,094,331,816,508,929,
385,045,108,477,259,149,089,930,755,810,832,072,003,201,906,888,998,649,191,
835,414,467,159,032,571,767,914,571,797,616,707,807,206,412,462,641,461,289,
603,035,568,564,334,274,950,295,096,769,213,948,415,131,939,643,077,115,472,
242,278,367,011,316,145,856,562,295,194,387,801,270,661,862,891,575,309,744,
017,607,125,561,091,624,801,538,287,068,105,639,872,654,781,474,460,033,460,
099,752,316,733,148,313,756,233,689,100,642,159,013,484,297,718,219,257,113,
539,542,982,040,248,074,685,097,726,853,125,518,494,944,649,246,390,806,224,
207,134,374,011,564,543,956,267,648,233,578,013,398,092,398,690,328,718,860,
508,530,969,524,209,648,797,789,059,028,789,480,679,208,403,999,245,884,205,
331,758,344,508,614,999,239,377,563,160,565,220,044,036,400,132,015,609,856,
608,922,965,468,599,605,214,852,161,831,153,887,670,759,434,493,729,269,908,
190,177,482,398,124,238,031,100,508,493,252,793,560,214,918,753,128,272,629,
297,615,590,081,126,810,794,794,632,277,854,762,196,865,576,571,649,796,924,
896,783,798,979,287,574,370,862,169,735,386,971,488,992,149,605,537,498,533,
090,224,982,280,906,581,499,059,082,106,658,147,572,848,507,794,029,780,519,
096,548,996,856,559,742,151,621,686,210,733,675,822,370,874,404,640,348,536,
287,388,899,071,720,087,910,646,691,300,796,588,801,511,068,351,939,594,692,
473,534,402,287,814,111,654,448,996,384,345,729,072,930,429,336,717,688,714,
952,652,311,486,027,619,188,924,946,355,897,378,825,054,874,109,841,252,841,
491,876,500,588,540,480,664,721,877,132,104,851,447,209,082,159,210,609,455,
244,590,454,362,037,299,785,782,925,242,168,846,340,622,051,677,693,900,814,
865,462,634,556,581,922,062,176,116,722,034,486,314,611,549,108,363,337,043,
374,008,046,271,650,503,931,109,134,717,435,219,152,145,474,799,600,226,297,
669,218,421,125,880,152,878,204,350,248,032,619,729,084,983,217,915,320,167,
646,036,076,417,377,358,915,829,464,982,279,174,192,101,313,521,066,995,353,
753,899,496,709,125,853,085,962,549,962,837,638,323,628,837,475,976,464,344,
038,725,105,437,356,322,261,735,839,216,560,304,834,656,054,028,943,465,663,
080,251,574,349,811,684,779,487,377,157,372,115,290,154,966,968,626,241,833,
395,199,276,751,064,961,865,470,636,051,401,145,136,212,519,180,532,764,994,
764,116,886,755,954,979,399,722,482,858,951,646,555,645,479,168,064,278,233,
458,619,942,149,690,327,818,320,261,261,496,986,590,806,144,843,153,805,224,
697,003,227,282,081,239,823,559,767,276,066,958,087,352,052,520,539,167,664,
574,603,578,210,422,846,064,784,992,801,006,446,977,950,378,157,159,173,560,
689,997,874,930,055,961,416,228,055,754,716,065,154,193,644,351,008,583,291,
939,555,172,792,769,333,921,818,078,921,377,020,935,529,455,769,536,047,254,
419,813,843,768,506,228,051,109,043,674,940,760,621,641,925,318,062,373,675,
603,390,389,164,191,763,272,937,212,741,626,682,905,300,869,483,426,856,333,
543,294,030,229,777,926,474,251,320,992,018,971,647,579,176,115,953,924,885,
932,594,914,669,657,326,109,875,723,252,589,187,837,137,036,152,433,520,738,
689,118,500,980,079,930,890,880,971,008,126,778,578,305,637,507,874,943,065,
679,411,782,739,900,829,898,058,624,972,807,300,565,775,309,119,159,632,633,
986,909,835,010,252,606,260,251,262,242,539,867,970,387,117,277,865,156,962,
761,336,576,793,753,996,261,172,695,844,460,127,370,306,340,458,639,697,968,
581,961,677,622,513,285,052,755,308,875,704,695,982,228,656,677,111,312,449,
366,677,312,560,453,268,945,746,375,949,552,274,645,136,075,100,350,071,024,
998,704,846,469,695,077,095,220,505,015,279,615,498,712,923,922,372,016,477,
959,599,932,891,830,107,453,962,659,512,635,787,338,247,280,223,343,452,397,
961,053,612,186,602,343,475,653,840,293,525,812,222,087,104,404,541,410,444,
547,767,681,429,545,007,941,593,182,819,068,170,052,069,678,698,135,335,908,
999,323,996,359,774,079,554,507,786,104,649,584,507,757,928,317,030,789,689,
028,303,203,894,329,167,647,389,843,917,172,332,773,988,740,389,256,898,619,
733,997,649,775,366,263,964,761,418,865,541,580,032,509,261,029,622,086,892,
462,423,381,730,852,416,139,737,032,821,318,365,391,510,808,713,675,924,564,
237,831,440,461,987,131,413,423,513,973,602,614,313,195,817,362,805,041,094,
673,594,558,677,586,242,335,815,192,414,421,578,890,656,103,868,638,697,276,
856,172,108,143,678,735,005,887,966,355,596,081,341,417,311,829,002,775,088,
966,815,687,411,979,390,924,913,280,203,496,035,241,889,449,536,759,616,374,
557,599,827,716,265,178,255,689,116,989,208,210,068,259,647,364,554,935,596,
639,722,112,642,728,063,024,280,176,731,657,441,790,693,700,707,620,355,922,
103,431,295,476,526,086,114,957,842,718,868,104,670,897,592,441,932,915,401,
137,110,390,587,591,002,989,791,637,695,728,364,998,513,363,646,382,762,813,
020,721,549,957,895,717,335,214,552,952,703,937,089,171,583,781,269,538,554,
127,108,638,774,964,206,165,780,741,424,693,385,062,829,390,091,016,810,588,
880,244,477,934,386,103,057,733,498,956,948,820,937,754,774,638,420,295,834,
144,005,228,747,411,691,428,438,784,745,751,177,137,771,946,176,695,135,445,
255,007,990,305,202,346,955,335,928,084,686,838,876,050,075,905,233,172,353,
048,721,715,756,142,653,267,077,079,690,740,386,856,447,401,212,205,083,302,
320,616,762,500,390,489,193,011,139,214,662,200,376,734,923,999,852,053,510,
315,099,774,960,402,017,673,074,701,187,734,486,156,619,546,687,583,590,722,
521,266,141,411,743,485,978,264,601,641,189,210,546,533,690,668,654,823,314,
980,077,794,465,421,033,896,823,868,077,619,588,702,395,200,592,893,420,496,
631,127,888,731,696,220,386,246,232,645,822,115,409,622,203,888,531,528,298,
196,660,908,571,003,748,438,888,903,377,581,142,646,908,528,220,904,500,932,
981,210,994,457,653,754,124,783,797,379,931,673,350,651,596,426,368,052,699,
615,155,523,484,046,508,007,341,866,634,247,193,522,866,527,276,138,718,568,
469,474,181,777,735,372,087,674,908,288,128,038,297,217,637,147,838,966,495,
871,722,181,589,644,740,464,256,157,949,761,116,955,422,553,447,759,865,342,
329,151,857,255,802,704,141,113,944,270,900,509,859,081,385,037,673,733,071,
587,951,783,838,302,851,550,389,824,655,062,795,788,323,657,823,499,955,262,
938,394,808,521,951,951,683,182,583,252,248,600,734,660,521,617,975,564,613,
271,134,489,494,190,774,794,427,935,676,875,041,111,731,310,607,232,099,946,
825,569,388,413,826,272,614,774,373,179,959,236,056,275,354,022,004,621,613,
312,856,155,577,647,874,858,650,155,387,127,356,508,296,541,231,275,413,825,
646,789,297,113,421,363,319,165,097,670,645,412,417,310,672,829,898,254,481,
382,090,738,389,999,833,368,469,234,402,551,173,939,082,459,547,004,297,541,
341,327,070,121,823,985,940,571,975,271,138,134,259,063,115,023,326,234,148,
645,968,981,417,435,458,572,336,347,244,351,911,569,899,973,039,889,061,289,
197,859,950,552,452,615,858,601,925,404,029,599,781,697,442,560,391,805,859,
095,321,204,737,226,151,802,547,608,520,040,616,658,511,655,937,120,927,268,
291,433,835,168,869,976,310,319,340,138,096,326,292,619,977,930,012,396,056,
034,709,437,697,647,080,831,394,735,723,228,839,384,042,281,036,952,038,182,
663,793,802,681,226,715,274,982,798,668,401,422,554,695,907,576,296,629,029,
240,332,247,861,962,336,388,206,606,212,423,407,265,803,513,826,074,119,384,
726,805,676,725,303,024,264,430,794,625,164,014,369,320,537,360,444,612,132,
038,523,729,076,290,150,718,185,930,907,433,090,473,468,654,030,835,512,595,
274,354,944,807,288,191,060,649,132,130,415,573,890,487,009,279,786,514,168,
492,428,947,352,521,053,206,451,999,143,953,875,707,594,801,825,403,973,963,
730,515,369,204,799,871,654,790,204,237,808,408,296,595,040,540,845,924,305,
195,816,962,652,688,066,745,012,911,381,017,000,592,958,387,251,040,820,240,
259,310,366,304,956,963,553,962,937,887,195,544,885,658,680,506,491,370,215,
414,517,851,396,554,198,913,680,544,874,341,063,139,671,907,330,561,991,037,
353,311,867,281,713,676,527,680,456,227,076,132,712,665,090,756,659,426,614,
815,205,511,229,952,066,507,721,625,424,047,148,918,829,818,165,827,462,046,
866,862,438,273,301,136,692,826,514,197,619,238,248,841,094,834,997,499,231,
585,777,387,981,128,018,899,339,831,414,941,914,228,707,902,198,067,635,183,
395,500,005,928,059,633,218,522,911,440,962,970,307,854,823,055,107,806,649,
916,791,120,458,246,700,840,462,875,294,577,728,833,315,767,148,029,304,886,
697,208,764,920,167,154,303,343,841,752,763,476,420,017,933,339,176,588,906,
768,570,893,064,800,699,716,261,225,856,892,657,851,816,450,938,934,249,767,
373,307,849,013,955,859,816,001,449,317,509,692,167,729,870,295,742,323,447,
697,583,500,252,137,132,484,022,470,244,268,947,727,742,388,028,100,114,824,
088,602,367,749,650,678,901,722,367,086,204,299,534,517,376,989,502,717,205,
630,746,156,165,130,593,589,330,013,721,094,026,525,153,217,309,005,425,710,
518,125,316,806,444,837,971,464,032,734,371,963,914,659,094,481,884,381,097,
377,255,297,765,209,939,911,006,354,357,055,648,312,821,496,575,733,835,566,
108,594,832,254,408,024,250,270,343,013,466,704,873,588,496,223,773,733,853,
981,701,888,411,470,940,033,370,897,377,344,721,428,078,216,912,900,776,393,
945,873,082,806,075,935,940,142,466,874,669,992,891,445,668,996,539,075,261,
845,310,618,146,593,517,940,007,869,954,508,464,534,204,507,036,762,405,181,
279,876,524,990,775,069,126,706,537,187,222,081,472,166,009,016,589,883,514,
332,035,558,355,531,458,520,925,682,698,437,318,739,860,500,190,736,694,136,
638,824,980,951,145,477,952,235,248,203,133,566,200,024,186,878,447,694,143,
926,283,972,120,640,818,854,574,783,485,638,789,098,922,525,340,910,189,151,
194,467,457,243,916,483,322,223,080,451,213,359,810,948,095,939,892,163,776,
461,552,299,191,186,693,872,876,232,880,260,094,636,530,807,155,170,951,238,
438,116,270,523,267,621,086,152,576,080,608,659,207,365,343,084,774,908,214,
430,014,732,911,026,777,773,033,027,607,755,999,633,579,222,677,113,403,186,
017,792,015,656,878,487,039,880,571,098,036,193,714,345,963,614,535,882,754,
777,977,970,174,290,011,101,696,500,439,982,926,634,605,421,894,086,724,575,
703,181,140,969,414,513,141,975,374,017,996,611,568,616,601,466,148,475,861,
961,297,038,437,359,855,291,885,004,607,244,782,099,565,752,567,927,162,808,
705,068,557,822,018,960,609,249,953,922,788,168,117,317,719,892,084,518,215,
017,400,365,250,027,616,551,653,186,027,577,812,611,691,510,430,805,138,938,
723,598,621,622,200,585,098,870,965,513,287,628,224,114,680,601,094,007,111,
278,800,079,050,253,452,149,050,966,102,980,838,760,299,295,834,424,259,490,
117,107,690,144,329,649,301,432,093,292,685,549,371,560,907,156,106,570,462,
987,912,761,786,969,977,905,551,582,911,408,501,679,184,682,284,232,285,774,
539,318,985,107,775,873,914,945,070,599,197,779,399,062,205,863,598,243,410,
972,966,778,640,051,108,155,395,132,832,137,542,172,960,141,933,352,735,611,
005,779,942,359,172,452,128,155,272,830,197,107,275,008,055,630,058,091,647,
570,221,444,521,816,026,072,588,102,006,581,263,763,803,295,578,446,821,235,
219,640,892,458,945,211,670,555,680,151,622,031,371,407,519,870,309,058,567,
329,318,702,247,124,598,143,880,459,667,395,817,921,896,054,867,746,715,650,
042,383,495,779,270,657,806,090,058,137,130,627,602,950,402,371,633,196,652,
779,369,543,038,620,843,661,529,060,232,948,576,634,047,862,337,697,237,591,
877,352,903,240,536,278,271,171,163,674,131,256,451,431,250,146,270,417,186,
415,987,486,321,869,470,284,913,556,072,698,360,273,227,258,904,565,317,299,
347,254,222,141,522,916,217,119,572,987,513,035,450,868,815,984,756,664,639,
047,783,750,086,520,978,434,970,849,656,685,885,355,577,048,001,692,025,645,
348,849,525,655,285,467,698,084,274,037,814,695,011,983,761,421,236,229,976,
531,447,690,492,460,571,580,541,401,927,996,692,919,304,299,010,601,757,260,
298,014,638,102,216,907,604,303,689,752,176,958,648,891,613,861,455,158,326,
693,763,953,556,049,798,892,118,430,052,256,900,220,996,900,209,731,445,519,
696,073,865,977,817,296,724,412,099,057,353,146,158,861,475,317,214,882,152,
760,366,650,870,639,515,724,902,467,472,825,252,534,753,992,860,381,472,492,
104,013,028,725,115,521,424,434,596,006,023,385,385,347,003,823,602,537,133,
366,907,886,956,875,169,310,799,652,888,938,991,083,834,738,656,875,781,473,
580,450,156,178,570,958,394,647,219,152,099,796,900,086,975,794,243,885,475,
938,112,026,179,464,592,048,734,635,210,544,758,506,523,882,877,063,728,427,
074,050,077,163,842,655,661,544,270,532,243,473,800,023,192,990,769,668,015,
629,617,254,158,030,136,552,785,810,188,519,637,010,981,838,909,217,457,308,
706,827,821,005,747,776,773,366,834,789,822,003,940,511,918,511,415,344,724,
485,062,173,839,735,336,879,311,966,166,059,213,830,384,320,588,997,118,478,
315,234,880,783,354,427,921,781,810,544,977,399,808,249,239,374,165,709,906,
134,461,799,767,143,811,765,104,727,320,595,890,376,494,140,586,493,677,583,
803,883,266,529,275,530,504,331,002,397,541,776,282,462,434,270,491,285,407,
377,678,105,732,680,311,997,226,722,837,173,017,134,305,185,969,234,232,920,
753,375,271,775,585,649,547,792,969,707,928,753,119,180,947,078,965,157,436,
546,116,187,957,305,367,614,287,269,393,277,045,681,910,500,248,377,518,325,
572,648,955,763,093,630,799,111,150,796,560,549,707,540,839,512,768,302,967,
106,434,362,606,058,203,586,025,220,125,690,371,139,308,009,787,485,794,066,
193,130,307,660,142,595,636,293,063,931,371,465,243,031,518,849,465,448,515,
595,003,386,108,346,561,554,335,552,691,928,238,164,070,996,258,910,959,056,
702,411,614,628,364,350,933,343,199,945,019,773,782,761,985,822,044,057,123,
083,840,966,873,471,341,722,223,504,493,751,009,117,394,231,223,996,515,077,
707,209,287,340,432,136,933,908,380,953,705,606,048,379,557,973,583,550,762,
543,256,611,255,115,515,056,145,639,586,825,811,649,156,990,086,939,686,452,
712,834,923,412,587,902,924,888,955,198,334,398,497,933,502,504,779,232,408,
752,935,778,215,488,739,524,976,298,841,429,096,419,011,055,212,655,411,095,
732,208,703,510,245,682,179,292,184,319,731,222,527,985,202,314,788,376,816,
453,613,359,989,515,869,585,372,408,718,568,368,047,825,004,227,301,075,411,
043,798,435,950,937,136,887,825,830,150,699,164,603,647,792,230,041,257,044,
130,266,429,137,177,194,147,398,516,375,598,297,340,613,249,613,453,148,002,
663,711,340,116,898,679,283,395,212,222,539,115,185,162,011,788,933,378,819,
607,148,940,804,732,266,360,000,333,987,821,722,015,857,620,525,353,057,294,
197,948,160,334,137,172,941,093,824,681,933,545,287,109,788,926,443,890,465,
254,758,033,347,004,646,131,931,315,665,151,728,969,731,768,012,239,089,316,
517,777,395,346,133,321,821,279,136,743,130,637,862,037,720,684,257,824,510,
940,889,271,079,134,716,698,506,727,361,001,300,740,208,369,103,390,284,011,
672,098,588,926,148,147,681,133,878,116,361,505,861,647,593,946,048,930,844,
060,497,075,212,678,964,858,674,468,833,325,445,197,192,252,835,746,621,420,
744,403,832,095,389,486,084,973,555,567,508,557,330,001,854,102,925,728,089,
400,770,991,521,415,481,537,540,519,990,075,160,022,354,015,635,298,241,577,
357,959,817,753,480,246,349,047,263,747,222,088,629,677,731,526,121,931,279,
239,700,220,804,066,164,187,552,668,817,911,414,295,868,639,359,546,704,988,
622,718,596,702,560,974,339,111,017,346,336,594,939,192,269,401,809,516,572,
839,212,960,112,051,601,524,080,165,822,619,390,471,823,711,708,761,458,635,
430,150,026,060,352,179,244,723,030,224,138,586,310,079,257,824,123,325,681,
187,673,831,522,612,503,384,705,667,122,385,828,888,339,174,970,066,565,790,
519,292,563,899,272,918,006,754,670,727,578,373,163,329,176,296,698,974,702,
550,625,492,795,079,358,892,748,275,490,003,479,682,157,115,405,077,314,010,
887,947,965,032,052,665,601,723,680,300,820,898,848,633,757,247,219,942,165,
034,528,023,288,602,953,106,676,430,053,262,172,567,012,825,578,274,774,101,
737,985,632,900,449,152,974,172,082,388,789,224,478,370,397,043,651,898,121,
751,894,414,823,069,103,656,221,209,051,689,180,805,075,778,520,331,492,596,
610,354,181,620,202,303,069,505,108,098,792,688,460,240,257,048,654,176,383,
527,523,238,199,966,343,160,723,971,473,900,753,836,761,674,514,390,549,073,
348,305,317,427,458,152,972,797,296,846,703,439,137,184,153,089,628,075,042,
451,075,430,759,847,002,259,603,971,089,458,785,561,052,568,009,237,983,784,
379,088,631,433,636,304,835,583,704,293,939,603,940,425,519,022,673,813,655,
463,166,599,261,823,121,639,338,922,050,779,646,757,426,552,856,955,847,856,
383,513,038,140,082,972,607,394,551,461,985,864,684,804,291,422,461,877,372,
425,604,569,538,543,531,373,041,371,274,860,430,583,078,083,399,543,837,556,
168,237,357,314,527,966,424,531,921,064,459,178,030,052,149,259,147,376,712,
310,418,990,285,012,706,194,177,007,941,605,534,916,915,470,185,151,455,368,
681,472,157,369,097,770,597,725,368,371,281,644,662,539,677,489,682,833,288,
361,971,156,625,841,357,350,433,072,938,248,453,784,364,523,799,450,412,480,
250,118,038,913,973,548,724,105,073,985,808,880,228,466,224,112,173,439,331,
013,294,070,760,122,752,847,347,065,805,234,992,274,509,867,408,712,114,728,
452,215,628,888,286,904,182,545,856,225,650,057,110,287,694,998,137,963,658,
262,880,093,540,618,018,423,095,932,510,741,797,070,948,814,210,172,138,862,
046,071,450,173,492,710,309,921,075,762,412,454,722,939,743,507,987,021,299,
415,430,343,228,923,982,149,983,077,251,221,007,432,645,644,841,094,924,748,
384,526,592,043,996,383,469,756,171,990,864,650,025,873,897,519,153,578,138,
198,370,247,898,577,179,062,204,680,052,230,142,155,177,714,711,935,314,959,
955,462,932,560,386,773,674,783,593,363,394,152,024,485,428,614,026,887,318,
438,240,634,543,487,487,822,863,502,157,385,943,157,512,182,815,262,523,270,
461,122,777,153,545,698,654,026,010,541,045,483,886,700,558,579,995,804,459,
617,402,820,842,898,031,999,088,037,631,104,695,968,911,113,147,369,227,352,
602,573,004,254,936,289,177,175,256,599,952,944,404,047,149,791,463,929,094,
217,184,329,665,837,297,695,571,727,023,596,049,935,972,357,401,605,955,040,
856,417,769,474,012,612,756,198,839,308,411,966,006,098,201,912,777,887,019,
829,389,200,335,570,190,060,319,452,609,376,890,084,687,737,825,771,563,419,
939,863,733,330,826,390,384,291,800,517,407,642,546,470,841,805,993,398,076,
025,470,600,288,085,332,706,566,570,318,078,198,754,201,025,810,200,956,751,
215,878,273,353,001,730,887,674,177,296,078,441,846,475,581,584,357,071,848,
897,137,821,331,529,082,359,728,650,424,939,493,112,476,852,787,091,055,796,
697,589,812,961,104,345,395,846,392,756,507,102,413,437,738,244,146,179,796,
478,277,040,538,208,337,057,077,606,225,921,731,396,423,252,554,373,333,638,
879,941,465,640,964,656,319,485,767,884,399,128,890,453,725,304,052,190,512,
517,964,270,939,093,668,771,024,132,958,425,813,321,073,733,080,846,691,063,
709,525,951,741,563,235,390,602,116,342,321,494,306,043,758,325,712,926,894,
002,760,921,758,792,277,914,578,356,298,792,107,631,907,691,112,674,779,240,
674,726,129,018,963,419,504,378,690,737,800,703,106,719,725,733,119,531,058,
280,014,153,586,381,324,760,634,180,010,786,209,562,768,359,743,472,224,959,
722,035,975,485,394,297,812,795,530,434,908,615,026,233,837,539,895,833,480,
731,508,708,441,452,765,883,300,512,510,842,885,807,273,969,501,518,144,970,
805,099,111,113,318,187,753,030,399,689,163,448,446,100,058,010,346,656,236,
508,659,853,176,126,118,650,922,159,667,167,891,763,758,094,677,156,416,308,
602,181,468,959,477,845,093,423,604,426,205,683,806,391,641,484,377,189,592,
397,622,220,223,941,003,592,695,112,865,410,972,386,550,009,923,422,803,760,
801,760,299,486,350,456,502,001,824,793,980,348,349,327,377,566,994,814,455,
645,954,184,969,856,917,269,540,990,752,140,145,439,180,392,620,541,353,884,
342,463,954,841,763,463,707,475,203,427,729,529,669,937,632,861,435,031,633,
485,392,767,694,466,309,162,322,678,134,779,599,929,360,264,361,836,323,647,
118,239,524,774,788,948,760,246,621,640,867,608,472,028,316,327,576,036,341,
314,407,951,369,644,040,007,468,062,112,438,696,490,947,821,275,520,695,252,
768,150,628,889,202,786,550,336,938,768,920,857,436,588,707,224,183,863,804,
089,024,868,669,476,359,447,553,020,623,029,927,168,570,228,480,972,871,950,
003,440,555,811,277,725,786,451,849,564,882,180,607,121,279,582,769,351,789,
894,754,603,313,414,529,970,694,313,646,707,600,439,004,690,166,312,351,049,
837,925,246,541,491,207,458,921,333,405,635,099,647,000,147,099,383,988,250,
906,673,816,254,563,814,017,084,255,331,087,166,075,245,727,990,579,576,995,
080,149,594,890,099,889,601,758,739,413,634,963,737,954,567,206,795,548,684,
466,570,733,513,494,506,605,094,738,821,918,098,062,535,122,982,873,061,955,
736,256,798,088,050,763,130,356,710,709,416,081,445,878,270,881,141,262,953,
561,735,669,364,488,162,248,705,610,423,010,973,077,979,606,980,728,784,402,
683,695,316,043,304,318,370,755,867,384,417,885,511,678,614,388,820,632,905,
291,451,968,555,001,671,074,195,991,961,062,890,124,388,963,875,352,009,370,
568,085,741,715,410,948,140,054,086,462,006,463,457,632,579,551,947,133,368,
817,781,499,059,076,165,057,264,783,908,219,396,000,143,061,845,630,765,494,
761,217,778,171,214,021,084,187,832,055,113,238,310,079,338,919,377,187,850,
295,119,720,025,789,499,313,866,123,315,029,372,700,325,148,545,519,650,408,
862,317,890,128,677,251,631,666,853,809,235,881,617,462,436,391,876,010,600,
423,042,234,577,866,437,624,436,821,699,907,131,619,349,797,682,325,966,343,
152,808,363,625,943,150,612,449,019,643,495,853,116,923,464,742,807,352,607,
688,898,931,838,464,174,551,849,262,127,737,847,789,160,778,067,054,535,736,
759,121,721,989,751,904,782,201,608,690,302,098,246,867,545,019,780,628,066,
148,770,579,811,715,955,065,607,678,870,008,600,659,729,157,287,355,629,234,
775,863,255,122,156,256,788,040,144,824,371,574,201,593,401,859,246,861,761,
762,323,160,301,439,967,449,932,040,397,983,655,235,135,448,097,771,178,330,
184,257,940,057,502,799,875,239,318,003,094,750,980,158,810,738,853,341,330,
546,227,972,619,546,676,536,253,124,996,269,560,343,505,910,244,680,214,876,
091,979,977,408,757,229,242,243,164,391,973,623,970,076,643,679,641,729,259,
178,206,520,657,734,507,769,505,625,863,617,752,091,215,715,487,497,847,806,
129,303,255,703,531,728,430,542,681,887,353,596,792,036,093,874,575,959,049,
703,383,620,036,457,254,178,861,004,914,165,401,270,558,058,031,562,997,151,
167,611,344,692,199,372,518,261,671,620,318,860,403,331,379,204,847,669,210,
523,561,583,539,726,831,078,316,462,168,973,343,074,591,649,543,354,608,733,
920,096,220,158,238,448,655,528,373,739,965,889,362,778,529,338,358,994,617,
274,486,117,431,845,175,770,033,981,163,546,774,633,978,918,804,233,736,877,
840,482,028,568,327,217,129,584,333,338,908,334,995,988,398,960,978,984,069,
228,928,452,037,208,286,832,055,174,220,872,780,100,990,300,155,735,763,213,
392,784,621,317,442,921,585,190,510,955,337,329,236,967,758,402,935,665,752,
123,080,513,193,184,104,110,511,930,835,795,052,082,514,192,302,266,001,238,
516,031,697,704,496,397,219,654,402,646,602,088,737,185,470,550,844,274,944,
013,179,307,306,274,032,751,298,307,378,396,405,352,781,343,004,891,473,472,
009,060,204,975,037,342,264,095,459,720,500,945,093,998,174,656,043,610,087,
318,634,922,703,314,813,053,891,456,928,701,057,077,146,675,999,079,683,105,
944,921,099,499,631,920,365,892,307,426,733,061,603,843,120,479,174,561,065,
944,753,076,093,126,053,541,311,778,955,340,885,650,868,163,743,717,490,323,
703,514,695,392,927,443,973,048,630,108,513,786,749,968,046,009,577,696,883,
549,946,713,943,036,441,527,107,350,109,246,948,106,931,702,448,648,330,819,
697,332,955,893,638,707,782,517,729,615,550,809,211,556,215,182,365,193,891,
667,586,184,707,374,231,610,997,640,444,257,258,012,462,357,041,999,185,348,
844,614,599,113,630,865,099,077,011,407,271,902,650,926,068,322,587,729,515,
519,939,945,201,439,420,134,088,396,672,652,933,568,973,932,141,945,598,055,
535,737,105,330,159,101,757,097,745,454,988,687,832,394,366,323,055,489,591,
307,494,207,965,190,634,079,203,793,562,818,702,474,760,441,298,351,963,765,
598,354,278,185,160,162,433,086,405,841,939,951,736,700,093,221,447,166,066,
024,936,410,782,613,232,301,230,276,210,573,530,409,073,413,129,887,500,495,
339,641,238,941,590,480,715,394,266,910,937,323,675,109,773,617,127,626,334,
566,079,926,503,433,504,939,001,818,743,700,020,574,216,089,192,747,716,501,
918,964,440,996,935,848,291,517,507,686,691,027,852,424,549,752,416,664,877,
032,198,271,481,516,943,517,256,268,251,026,139,580,831,421,646,330,947,852,
792,926,565,994,120,515,751,424,492,665,653,965,191,060,064,108,749,248,807,
554,998,718,035,131,840,781,793,077,535,682,222,643,070,159,260,320,054,384,
513,244,987,958,064,208,339,501,712,613,659,435,140,078,974,235,507,103,432,
863,417,836,393,839,622,017,621,548,864,027,886,433,567,000,493,013,729,722,
190,959,491,918,149,502,733,615,308,279,558,248,127,492,747,145,723,986,833,
555,277,968,215,719,081,661,117,815,488,031,532,686,913,529,308,089,047,539,
752,182,499,491,122,666,191,858,716,131,304,972,150,016,837,200,468,472,616,
012,385,121,916,474,639,194,990,009,595,605,118,118,626,594,604,369,145,048,
448,253,176,900,945,446,157,085,823,102,978,008,714,394,876,683,829,800,610,
463,812,146,124,069,086,910,567,552,842,307,814,334,577,043,316,403,476,309,
475,177,009,496,374,455,000,638,608,941,616,197,949,045,440,466,786,337,238,
438,552,811,750,383,260,915,825,349,113,941,608,849,030,498,531,354,101,330,
717,932,735,656,760,318,830,491,642,748,765,950,359,664,668,588,351,230,373,
125,352,628,824,826,023,011,035,399,877,340,558,446,873,285,597,827,584,540,
220,464,351,962,101,494,062,599,057,805,308,073,180,237,302,010,982,349,231,
548,692,595,339,792,843,556,500,059,055,046,270,559,549,655,205,544,811,241,
074,323,894,160,130,133,871,326,943,153,075,344,121,664,690,870,692,044,404,
886,746,258,794,847,782,516,247,119,254,529,297,563,252,410,083,318,409,398,
323,862,710,570,656,966,844,488,935,600,181,360,003,321,830,545,011,972,976,
679,463,701,354,357,228,255,853,718,766,175,237,397,313,253,089,803,315,695,
880,339,960,697,342,327,805,301,723,249,420,059,043,714,475,228,729,999,497,
629,520,546,191,501,918,506,137,908,502,222,827,690,020,128,473,069,057,379,
126,927,203,598,161,162,018,488,532,038,508,688,737,413,750,424,431,611,899,
935,936,165,998,174,204,154,761,425,898,222,240,211,492,309,477,804,136,651,
522,115,656,484,613,692,221,904,191,232,615,037,722,493,962,462,817,031,019,
357,434,813,575,357,546,082,721,335,713,718,678,254,514,137,395,427,015,217,
804,416,002,074,551,966,727,337,390,797,048,399,260,713,842,788,988,797,371,
187,309,440,178,935,301,995,668,579,094,154,535,744,378,166,466,694,979,717,
313,353,118,186,351,532,145,408,334,833,321,603,497,418,068,163,597,798,933,
696,651,996,534,214,520,709,688,419,319,835,572,160,077,050,057,111,113,142,
613,956,444,838,928,795,634,254,023,857,849,719,901,892,384,449,237,478,624,
363,333,611,804,660,476,387,135,768,919,465,666,984,470,655,789,762,063,331,
145,617,533,587,500,161,103,160,364,535,294,312,466,574,555,759,942,913,381,
758,614,471,397,404,208,413,447,138,190,579,796,594,938,948,680,125,988,076,
683,995,310,776,976,201,335,996,109,353,034,394,999,583,027,317,833,497,653,
231,522,976,211,122,942,355,721,490,177,494,340,143,016,783,111,871,531,562,
668,643,712,109,346,751,146,331,600,260,729,835,977,092,578,105,982,542,799,
634,456,662,017,962,194,843,176,462,015,537,317,474,091,929,986,637,936,569,
011,815,660,416,617,352,613,515,079,742,892,148,889,220,033,043,000,766,015,
799,462,973,237,874,090,013,206,509,799,260,680,656,204,287,510,667,324,632,
842,235,266,055,912,306,710,445,110,115,379,666,051,362,912,310,176,417,955,
784,082,678,004,342,366,842,598,041,299,701,247,906,460,432,772,299,108,058,
146,640,690,109,522,034,447,112,081,920,684,028,990,944,428,278,807,877,124,
377,465,248,379,641,530,326,328,176,848,901,728,412,290,152,156,458,250,071,
665,674,500,941,476,791,147,765,085,881,849,169,042,009,668,705,622,714,946,
441,013,158,723,598,846,497,256,126,706,262,062,731,785,238,575,550,697,534,
599,378,315,498,908,389,155,524,540,557,498,873,460,660,124,177,559,200,771,
218,369,877,150,598,042,944,216,671,755,019,786,267,626,444,762,073,423,184,
043,078,811,789,872,551,485,257,089,099,972,433,502,926,726,090,498,187,894,
408,209,963,029,781,305,010,329,268,334,519,449,917,345,234,225,615,350,280,
149,461,389,156,284,490,227,719,545,555,602,492,725,838,949,685,041,549,902,
064,895,974,119,801,491,628,033,557,832,919,424,736,183,675,178,512,215,096,
589,650,531,478,882,615,084,841,480,315,474,873,844,469,429,437,566,419,435,
766,223,518,710,069,799,036,912,487,104,162,454,415,747,267,802,739,628,569,
141,527,963,527,565,186,866,380,352,209,282,416,081,651,460,092,636,661,427,
470,487,431,538,361,340,801,567,442,991,280,584,403,853,835,961,687,022,914,
583,614,276,604,375,286,926,465,374,386,999,964,889,895,466,659,976,741,299,
665,068,575,031,750,789,423,283,983,986,111,377,222,858,674,762,519,293,298,
520,662,983,553,163,217,161,548,684,105,675,621,711,290,836,498,309,764,025,
930,716,024,471,586,840,912,631,376,257,599,768,425,094,901,540,624,646,724,
085,665,784,303,384,501,058,815,500,303,060,808,030,492,954,451,513,147,582,
396,591,527,928,334,548,417,046,157,969,191,028,219,393,620,353,781,306,635,
798,811,127,939,540,542,173,901,548,958,487,767,920,653,173,137,501,263,515,
329,980,811,081,503,887,248,244,232,051,697,566,300,972,129,858,088,697,066,
867,998,243,658,850,486,938,509,448,199,782,678,429,153,128,756,547,180,720,
396,293,918,118,395,048,332,229,428,937,061,326,666,703,608,876,630,403,561,
800,589,584,559,256,327,116,555,563,615,804,217,484,464,375,759,772,823,287,
275,939,499,747,465,833,762,152,720,217,824,116,845,864,381,410,550,370,527,
372,487,775,662,139,226,243,994,413,195,607,245,858,093,047,335,839,339,058,
317,108,601,257,283,548,746,499,641,897,628,246,476,816,616,765,921,853,381,
158,525,157,998,048,561,731,957,373,074,883,925,197,555,955,884,524,858,801,
876,380,605,882,511,678,837,843,836,541,537,108,742,954,028,230,785,357,633,
377,763,183,730,090,329,219,867,731,398,154,175,107,818,620,788,162,292,103,
978,857,626,280,035,759,523,839,822,464,562,158,546,010,283,341,071,206,546,
634,354,138,628,360,157,922,604,860,253,655,618,829,506,899,931,256,698,590,
437,497,273,763,006,800,816,228,548,311,579,387,021,936,833,389,576,389,892,
703,733,273,390,758,453,108,232,483,323,274,507,860,293,562,093,218,386,084,
125,581,701,724,223,057,662,715,511,928,348,132,963,651,440,462,893,195,544,
799,419,121,326,874,927,832,820,396,566,834,317,590,744,375,270,822,804,895,
355,628,674,955,102,821,174,292,278,853,171,218,905,225,972,639,375,304,958,
993,506,791,298,658,989,827,590,270,362,941,701,146,800,777,683,871,301,469,
152,741,923,036,778,281,166,387,432,110,547,501,161,345,950,448,292,121,666,
410,760,341,593,453,389,781,843,480,331,029,664,071,132,061,211,215,967,846,
332,448,927,365,224,292,611,179,749,858,455,160,038,966,705,584,477,060,725,
231,904,336,096,111,825,985,021,143,776,627,856,467,775,642,996,537,612,364,
328,919,504,939,186,384,078,637,389,293,810,131,158,212,002,528,102,666,562,
519,417,133,784,038,298,522,627,578,672,297,527,665,737,488,501,610,790,971,
701,803,084,465,542,898,962,377,516,071,274,809,229,538,246,160,941,969,167,
043,288,792,610,248,840,068,752,749,561,114,789,804,969,011,354,132,067,548,
589,576,940,480,205,471,192,389,762,442,162,919,741,047,445,231,886,151,718,
729,384,436,725,123,470,966,664,358,268,618,647,229,558,223,180,749,628,242,
766,644,892,780,735,688,291,299,331,636,511,779,543,128,683,361,344,374,310,
771,397,546,424,477,840,792,095,668,652,621,155,789,994,532,962,990,503,293,
285,551,568,100,059,565,688,691,264,152,712,175,738,480,118,221,253,312,200,
334,770,935,592,193,124,308,649,642,362,253,048,240,923,632,609,824,393,768,
146,999,058,128,817,296,920,398,532,004,373,998,832,361,448,352,963,276,054,
809,223,420,736,165,671,384,700,838,407,162,448,964,615,726,574,550,243,418,
663,156,318,703,468,436,010,879,290,586,051,919,749,724,177,099,489,624,390,
194,464,832,316,410,740,091,013,714,821,066,034,593,446,465,386,766,998,023,
156,681,534,718,646,426,038,343,435,900,792,660,046,345,735,538,839,761,783,
694,695,457,393,464,066,420,284,834,137,187,213,008,175,835,614,679,932,623,
298,098,700,471,635,517,416,085,973,365,862,021,083,054,725,439,587,801,796,
517,576,594,617,699,102,646,752,863,410,653,808,564,212,088,078,846,462,708,
343,423,511,438,105,670,839,377,154,646,051,744,236,118,792,306,031,205,415,
585,012,484,266,954,673,861,158,337,849,098,277,980,328,958,152,904,390,547,
114,630,450,902,556,260,271,292,695,319,515,209,734,660,812,152,032,280,225,
011,130,897,594,592,279,431,942,635,929,459,214,797,764,688,618,183,579,635,
344,950,682,434,446,312,652,624,628,439,170,907,260,736,755,340,413,015,948,
077,510,796,974,389,857,796,080,864,882,400,867,716,226,904,782,435,598,044,
078,152,159,373,623,826,014,928,702,462,206,159,627,114,278,381,805,894,806,
612,407,286,126,669,948,706,255,789,634,461,777,191,338,021,358,215,536,317,
080,270,992,342,663,464,651,069,326,028,159,601,221,784,595,971,700,225,999,
271,783,947,223,141,075,238,636,212,499,993,231,290,017,946,814,251,041,662,
779,433,440,955,866,519,433,845,870,521,820,927,136,124,806,119,945,373,346,
603,815,617,790,812,781,599,409,048,488,604,786,419,176,471,637,942,498,208,
778,010,891,832,057,341,284,686,647,718,250,686,927,844,517,311,681,307,247,
846,447,498,711,540,514,658,987,241,350,517,869,927,298,978,544,237,429,768,
655,341,233,765,958,819,287,298,460,100,034,341,345,529,706,566,113,607,499,
397,836,800,804,393,681,178,195,318,619,329,433,316,209,443,019,214,453,396,
931,158,838,968,364,145,506,851,968,203,488,749,808,358,778,719,288,150,615,
807,147,018,606,323,043,952,258,822,425,243,923,731,488,822,691,786,685,969,
699,704,918,193,950,565,099,657,423,417,631,439,576,113,185,807,053,341,973,
017,140,215,675,035,714,843,322,598,812,516,537,020,985,042,519,892,203,735,
339,386,729,697,923,034,658,838,483,694,769,493,783,010,942,484,474,550,086,
439,930,462,519,997,528,151,543,950,638,871,513,286,356,266,781,538,879,681,
710,672,741,887,120,261,660,026,879,871,571,804,171,515,290,265,346,397,202,
729,095,418,498,376,577,630,499,126,148,995,964,285,853,643,762,881,235,254,
043,543,212,072,797,097,793,330,181,806,879,943,010,959,235,233,222,738,387,
392,522,884,399,787,688,770,319,747,529,140,255,991,940,413,173,600,396,456,
839,979,520,761,604,390,598,341,832,498,578,512,154,058,380,354,947,559,801,
378,709,383,598,548,200,182,657,819,216,897,805,861,039,984,916,572,732,164,
478,303,612,786,322,019,998,688,418,116,449,322,195,897,682,649,394,389,520,
232,975,500,302,847,679,487,167,997,398,701,707,259,996,520,348,156,558,286,
211,632,781,977,479,292,344,040,854,338,927,148,841,157,831,604,014,175,560,
116,441,165,255,276,290,431,261,900,728,765,904,380,031,544,876,188,679,416,
684,610,363,958,019,034,199,982,495,550,379,661,671,943,590,389,114,670,097,
427,472,995,136,334,521,056,876,072,417,033,830,062,583,265,620,970,846,244,
472,391,850,355,311,804,438,597,680,659,237,999,687,307,343,263,519,591,531,
620,058,892,277,213,828,484,649,670,223,135,185,002,429,508,082,730,957,585,
019,258,728,609,581,807,351,798,364,617,661,629,523,121,730,540,929,434,901,
997,133,804,196,066,731,741,355,441,942,270,252,091,811,320,167,873,381,393,
998,931,322,980,713,999,539,744,376,394,100,797,106,413,877,563,410,608,127,
608,581,630,428,447,202,077,247,937,367,849,860,145,932,009,453,958,875,069,
254,709,097,068,724,834,882,181,833,617,523,904,181,010,248,695,517,858,186,
901,243,779,005,033,884,999,171,286,934,036,996,171,012,371,289,802,996,324,
302,740,246,144,179,367,328,020,033,387,674,100,613,504,513,601,780,913,439,
416,279,266,830,690,104,054,835,701,587,240,118,386,280,482,823,952,538,656,
915,408,398,280,920,250,435,315,044,969,314,737,138,141,114,250,381,027,275,
331,159,830,764,803,251,139,146,187,515,376,025,451,910,511,556,546,901,949,
652,274,908,503,915,451,335,387,273,075,127,708,175,614,968,669,467,317,045,
589,665,139,093,332,028,786,699,027,721,777,200,752,517,791,156,197,489,337,
380,812,463,545,850,687,839,883,151,874,896,790,292,595,487,229,791,804,013,
695,888,881,162,949,603,690,101,060,760,364,878,388,991,047,678,484,013,443,
637,732,498,659,319,051,793,436,000,402,098,161,841,929,643,027,735,914,144,
667,776,383,249,039,738,502,740,628,005,880,206,696,348,947,965,757,199,031,
194,252,658,446,330,945,498,097,297,760,756,281,345,362,924,198,485,567,093,
105,334,047,669,358,252,644,156,637,425,776,964,281,702,916,273,311,997,217,
049,501,283,468,356,993,028,091,580,195,336,540,302,070,045,502,565,229,327,
497,191,538,685,926,818,483,156,576,456,342,531,623,738,037,099,974,217,939,
835,934,014,046,189,065,562,068,355,730,079,003,641,109,027,163,145,280,048,
429,753,310,667,897,338,945,762,457,990,826,555,899,802,158,208,091,478,532,
709,230,205,052,211,871,613,796,411,722,329,373,462,840,903,677,122,374,361,
400,457,246,378,534,322,106,455,708,538,943,841,737,689,342,290,989,213,962,
944,972,395,308,756,527,479,348,391,748,448,682,219,488,512,282,077,105,431,
555,242,110,995,231,642,271,149,611,929,581,622,451,936,701,207,229,458,237,
618,702,975,069,098,084,588,819,402,358,830,893,421,206,172,231,005,115,864,
553,074,004,070,181,009,902,529,604,929,295,507,211,476,772,244,897,194,757,
654,355,100,639,375,480,480,816,849,869,233,809,308,015,667,547,089,800,592,
613,331,332,832,692,521,455,111,206,613,066,181,145,659,764,863,919,307,540,
497,964,822,075,909,890,624,704,659,356,405,679,519,077,127,500,887,089,514,
414,656,549,140,658,137,366,040,422,062,037,684,159,983,284,347,594,761,148,
670,054,728,282,065,534,116,458,470,494,060,369,846,014,235,942,192,875,795,
367,113,694,044,891,527,273,963,090,311,470,838,487,230,722,987,590,771,954,
718,935,153,683,770,636,453,539,914,911,305,912,874,795,969,899,250,840,299,
237,527,374,909,855,703,912,861,305,844,065,320,968,386,465,509,691,853,803,
646,360,455,969,987,052,089,348,429,227,043,067,882,520,520,314,913,374,263,
247,441,001,591,517,703,328,744,616,374,349,817,170,741,209,186,002,656,111,
189,077,743,088,492,519,529,567,970,471,620,917,818,362,283,017,250,992,169,
349,821,160,574,178,635,962,870,871,529,214,989,714,377,189,063,115,056,765,
454,465,304,863,027,478,254,350,017,198,672,697,795,615,620,046,688,170,795,
769,957,990,630,657,599,010,351,985,092,735,709,954,758,369,259,070,743,471,
652,221,162,087,941,187,226,740,842,770,361,780,645,408,574,796,187,359,371,
568,153,230,517,735,301,649,760,900,214,729,701,292,320,372,173,261,900,833,
778,295,481,720,875,636,305,010,711,227,282,108,727,711,474,817,205,773,201,
815,847,786,373,797,267,483,051,865,093,406,754,275,994,521,145,128,565,326,
605,289,418,825,531,229,295,880,765,648,606,483,555,977,495,288,006,765,433,
804,937,146,299,328,629,952,341,651,103,301,173,850,476,622,786,175,152,889,
932,523,784,180,914,523,826,960,295,041,279,120,095,029,238,651,701,955,696,
098,905,891,014,523,620,704,397,945,239,496,034,946,189,368,387,453,746,444,
539,196,145,853,758,698,138,362,238,565,058,294,360,284,978,603,538,220,178,
328,802,982,584,472,571,505,201,872,860,035,294,466,896,724,509,207,428,164,
428,434,680,876,852,396,775,644,498,216,446,122,740,061,194,474,766,726,152,
048,117,412,931,679,474,223,396,272,151,884,198,315,907,032,273,453,547,345,
003,528,184,726,085,678,631,097,379,452,614,929,726,411,373,654,281,194,054,
682,869,226,106,879,064,671,134,847,249,181,056,440,217,659,327,575,311,032,
181,116,484,233,657,354,598,788,220,630,100,971,578,597,108,393,813,105,628,
413,212,145,540,075,289,858,989,710,478,978,152,339,159,847,320,724,888,334,
911,997,243,046,662,341,856,332,127,563,497,756,058,553,252,601,506,037,187,
792,683,812,865,684,372,416,688,153,472,973,235,912,903,153,559,981,403,831,
274,142,955,286,595,895,471,625,096,439,025,165,773,902,835,821,401,527,737,
154,890,206,097,685,342,447,562,911,141,405,353,558,068,184,512,417,858,426,
450,329,619,370,191,890,095,432,948,920,033,227,625,695,619,695,928,921,007,
056,783,227,611,891,792,043,735,988,176,674,286,496,667,412,538,708,114,873,
528,075,880,629,165,346,826,335,504,480,651,790,361,856,718,094,699,357,069,
664,721,821,304,568,972,057,304,477,517,073,243,913,840,690,960,898,643,600,
780,754,068,758,844,493,116,012,537,140,912,678,449,666,726,694,820,657,849,
214,385,739,301,274,041,270,788,146,488,697,804,717,202,379,991,054,049,789,
797,298,458,222,211,210,575,034,754,509,710,026,927,127,269,230,538,363,089,
968,649,092,464,886,737,883,373,087,591,209,592,053,347,009,110,673,181,913,
716,303,956,999,955,759,061,765,226,556,336,478,624,306,101,829,162,992,348,
630,041,497,245,190,332,857,593,533,377,731,566,799,671,549,301,798,570,106,
172,487,076,396,364,362,289,253,395,179,245,413,565,946,690,389,064,307,853,
856,497,541,446,030,067,274,732,217,877,689,430,266,316,225,389,261,559,447,
703,509,719,200,178,039,303,677,038,243,166,482,856,079,565,859,961,194,722,
198,633,152,265,466,020,847,790,316,293,556,267,193,354,768,237,542,461,952,
187,733,952,926,643,354,811,934,014,706,316,552,288,752,666,826,701,159,476,
375,083,098,950,113,649,355,871,224,379,787,487,709,567,327,012,563,502,331,
167,371,013,074,449,579,619,657,370,670,112,410,051,429,971,457,829,535,748,
950,886,568,388,379,262,102,960,512,810,840,612,200,944,428,369,303,455,349,
859,795,185,594,958,973,505,223,566,519,363,020,572,036,369,980,066,378,337,
756,540,423,686,128,907,400,255,319,569,539,807,725,840,431,841,099,150,273,
054,901,098,406,188,720,743,950,795,595,196,513,779,779,636,020,308,164,015,
574,728,799,430,335,210,942,293,395,688,008,670,632,739,102,215,614,871,714,
082,989,901,249,821,807,270,249,758,896,302,590,816,858,856,427,745,167,620,
219,187,685,257,447,255,168,726,229,843,189,161,884,230,622,992,244,238,402,
385,915,342,430,706,633,957,400,255,350,837,802,998,396,944,045,444,697,259,
848,469,986,840,735,122,556,060,064,483,936,857,894,677,547,073,946,261,830,
536,489,036,728,712,437,028,580,182,097,114,164,195,434,451,523,618,450,627,
786,657,077,156,837,084,285,321,176,625,474,314,842,670,259,953,825,421,574,
491,170,830,244,308,076,370,500,932,678,872,421,931,539,296,600,918,339,396,
570,890,484,631,798,099,874,208,489,436,646,213,999,836,483,843,167,313,732,
645,662,640,518,188,726,246,230,921,857,931,230,259,021,586,152,791,810,058,
701,138,897,966,035,960,192,597,254,803,805,219,955,340,219,562,429,227,674,
467,123,067,309,822,734,938,760,847,327,450,870,348,438,426,923,504,041,442,
164,200,213,997,176,780,214,216,875,679,041,236,391,739,101,762,938,758,352,
391,896,189,399,509,535,511,177,542,487,179,619,500,421,570,964,870,327,057,
675,586,396,314,922,748,123,080,678,797,888,648,442,366,170,737,984,861,487,
906,183,088,667,731,973,588,993,772,042,649,685,720,469,872,713,854,969,255,
319,837,725,642,254,086,195,309,431,479,496,849,687,033,305,758,738,021,269,
667,474,922,875,124,340,804,611,060,235,989,033,627,904,834,809,720,326,133,
828,692,379,671,544,039,944,254,927,520,497,909,381,156,335,676,293,222,370,
291,072,435,178,408,853,877,873,699,532,669,480,101,110,840,951,342,271,781,
077,384,693,345,828,916,714,550,051,647,775,712,840,741,166,846,403,324,932,
398,535,562,269,215,745,923,027,820,331,473,118,397,329,944,078,469,447,344,
436,812,609,140,002,425,383,574,469,910,661,223,161,649,233,279,646,841,156,
099,701,467,604,885,355,078,617,982,258,940,019,791,361,786,066,268,222,230,
693,977,492,866,633,088,198,973,639,623,140,697,792,226,788,169,387,705,250,
502,520,651,497,397,069,804,248,700,800,693,603,730,194,702,997,241,897,780,
642,929,725,694,135,380,738,834,744,371,788,703,291,845,440,543,903,351,817,
624,879,919,468,308,306,405,990,412,893,742,524,919,222,514,948,939,472,842,
079,690,746,434,324,979,273,397,973,318,874,442,545,552,282,241,960,987,408,
291,637,993,531,382,992,672,203,249,939,377,682,792,118,050,298,698,048,344,
331,798,081,451,152,814,327,304,046,172,460,220,167,646,892,276,294,501,921,
282,697,842,215,470,370,056,081,145,576,457,071,636,702,361,419,690,164,781,
145,926,521,170,559,394,441,382,072,473,670,709,294,413,762,956,211,944,773,
144,520,222,779,819,476,040,891,202,416,389,803,136,341,552,765,336,436,387,
430,244,016,622,410,399,078,975,717,382,451,283,572,715,919,812,169,986,176,
203,128,414,613,713,441,253,477,644,990,147,336,865,195,158,300,242,455,340,
882,937,392,756,010,964,024,826,949,166,413,989,850,544,691,417,886,724,665,
235,510,344,799,982,608,354,409,781,967,996,748,128,331,846,438,388,453,982,
143,296,899,385,746,686,292,480,361,646,314,782,857,998,497,409,446,428,736,
120,380,443,305,673,595,808,982,072,095,372,346,635,195,498,958,705,037,660,
378,740,483,229,936,525,865,140,999,210,218,781,347,698,477,907,069,516,473,
247,262,433,679,757,946,622,856,301,104,112,340,492,460,735,050,210,536,732,
719,555,754,209,418,994,900,797,950,388,925,348,692,304,815,134,237,121,086,
431,117,702,021,333,879,844,045,454,144,324,954,757,240,367,484,634,106,510,
317,112,957,029,253,697,333,210,603,404,309,423,251,469,317,973,288,533,527,
515,503,209,871,795,908,680,506,760,587,432,596,159,577,240,690,100,427,152,
413,507,620,752,913,287,245,400,025,715,554,955,425,039,919,241,948,997,751,
221,570,867,524,667,642,499,789,691,940,784,453,529,872,019,708,465,588,209,
922,313,848,728,320,402,118,698,204,632,967,490,578,337,153,119,139,129,643,
372,038,694,130,663,402,461,082,355,320,816,204,245,237,847,761,822,725,845,
270,275,465,930,176,100,767,287,151,908,715,508,399,798,890,269,158,774,545,
755,918,370,291,877,276,045,731,550,372,563,473,517,112,928,783,207,481,724,
978,920,170,150,480,059,579,247,463,472,176,318,983,797,534,551,812,456,577,
239,847,859,871,734,911,387,628,560,097,363,152,905,877,704,916,992,885,456,
850,188,863,244,875,528,434,780,647,146,073,898,131,627,831,740,650,625,600,
754,076,147,242,351,169,735,979,048,247,723,445,962,279,204,386,559,475,050,
834,777,286,889,653,574,868,237,297,611,200,772,806,803,947,995,969,465,881,
157,544,220,361,451,999,438,540,350,970,994,466,245,676,374,103,875,770,701,
989,840,083,686,575,038,075,767,350,441,972,850,368,855,989,518,728,349,084,
876,752,826,839,302,588,725,814,454,080,483,013,646,235,659,563,634,341,652,
376,355,577,481,370,742,112,912,176,161,929,914,401,893,842,910,379,826,539,
769,231,350,856,682,803,730,569,967,130,015,850,329,444,026,838,524,708,196,
694,742,628,233,396,919,151,317,000,350,485,647,148,443,201,113,743,120,048,
188,826,044,121,069,728,256,243,479,753,977,361,735,848,261,619,387,916,293,
819,331,230,280,108,331,130,267,074,744,927,729,021,806,583,351,156,470,603,
209,595,007,120,031,801,259,153,483,554,121,922,870,259,146,951,345,670,935,
614,463,684,616,686,841,144,277,332,979,379,096,661,845,371,963,057,473,660,
944,166,816,942,720,568,825,950,282,934,600,042,690,379,321,897,533,189,535,
140,886,264,471,911,668,608,429,999,755,104,700,746,938,581,681,286,235,791,
884,011,216,608,075,254,822,122,374,766,400,522,967,325,311,999,856,210,803,
847,947,560,869,811,789,849,152,332,587,151,031,779,453,579,495,517,548,039,
748,372,132,397,265,309,759,838,900,296,174,313,824,873,917,778,692,811,648,
896,807,992,407,940,834,790,816,639,165,040,567,902,152,300,452,677,898,059,
824,417,612,034,712,785,601,768,181,090,229,097,654,146,758,718,034,865,108,
493,407,659,475,311,982,735,576,156,015,740,905,443,712,619,891,236,510,067,
298,159,282,933,310,853,951,791,889,355,411,029,520,738,122,102,996,154,530,
119,349,499,610,206,938,977,732,998,861,678,418,413,244,805,830,580,770,371,
862,209,459,353,915,865,272,220,161,275,795,473,796,379,586,813,215,253,800,
967,774,852,598,615,242,691,409,534,643,688,772,581,008,282,499,445,621,748,
272,176,993,452,530,321,607,134,857,382,936,981,872,035,581,662,931,208,692,
941,162,285,504,268,230,877,115,528,733,404,671,990,230,230,667,872,083,762,
314,034,893,103,664,541,223,676,845,348,119,854,886,360,185,317,212,709,304,
035,617,171,478,417,608,572,121,255,591,184,831,412,292,263,518,506,631,133,
573,837,859,781,314,445,390,881,966,730,283,541,323,694,990,954,724,383,822,
397,447,988,286,162,833,958,647,889,400,626,546,454,262,502,326,000,955,088,
479,206,588,637,092,759,707,386,178,719,729,624,008,885,742,759,713,286,411,
205,598,073,674,599,750,098,121,668,719,867,333,932,771,657,451,587,498,900,
389,833,557,951,869,870,729,995,580,143,376,300,293,576,314,753,432,520,597,
100,638,428,306,105,954,563,841,171,067,123,002,813,234,623,733,410,741,871,
143,957,302,100,296,839,525,812,812,971,423,805,692,240,948,350,573,711,015,
435,170,573,223,771,239,393,626,989,273,955,429,530,612,035,053,779,029,692,
355,538,914,925,448,504,005,530,128,441,023,744,441,483,516,790,211,013,977,
901,037,474,051,020,101,695,586,267,417,211,350,782,739,727,572,123,973,698,
520,580,711,879,651,803,819,368,140,763,392,770,440,248,780,750,793,015,322,
166,535,565,285,836,169,926,187,179,012,992,494,116,508,594,176,195,339,900,
293,187,057,920,538,285,331,925,752,446,714,487,815,948,764,435,879,228,174,
718,367,479,694,980,020,130,674,990,499,979,665,378,689,524,793,663,637,521,
342,369,058,120,988,944,741,117,158,938,846,363,480,343,866,096,982,214,724,
025,216,204,678,519,934,523,894,951,800,927,088,218,224,111,187,230,338,428,
551,835,432,360,898,229,093,956,519,687,802,522,034,370,806,833,433,441,144,
399,769,872,303,009,306,663,227,898,073,446,888,665,918,204,275,838,137,769,
409,226,597,720,657,328,295,473,212,301,171,758,051,643,802,535,246,976,236,
806,244,383,518,979,523,278,662,730,230,123,100,905,479,475,296,145,891,078,
061,603,252,031,256,588,451,566,147,693,754,483,433,512,431,493,086,762,315,
245,732,286,469,220,347,506,412,539,449,150,504,733,953,321,676,909,894,424,
493,272,566,515,956,826,532,741,451,271,338,609,112,682,571,794,605,467,514,
530,929,334,618,304,370,934,497,259,252,538,895,271,710,130,820,321,301,709,
769,701,506,571,991,615,839,606,985,969,623,925,355,400,001,445,277,129,137,
277,619,178,158,945,459,163,012,633,723,151,291,218,194,956,313,481,645,329,
772,130,461,777,710,401,529,942,628,753,333,875,281,930,171,851,619,182,015,
187,462,040,729,470,886,570,060,391,993,794,125,264,225,432,931,769,971,231,
568,392,117,588,198,915,985,294,432,261,861,460,439,729,059,678,947,017,388,
244,231,300,265,260,016,161,921,379,954,335,097,738,525,586,567,297,533,298,
234,805,447,781,177,059,636,883,522,198,814,170,675,491,296,285,095,034,317,
930,430,490,909,987,562,889,228,746,194,071,360,589,495,251,470,414,891,757,
218,166,581,668,511,491,947,970,336,962,487,817,841,291,243,355,150,958,695,
827,855,939,884,760,650,735,110,240,428,285,733,332,099,544,751,588,356,751,
748,479,049,976,043,203,326,271,091,150,370,630,889,705,015,019,867,796,512,
529,132,853,831,772,835,284,037,757,948,878,885,410,641,217,535,098,665,763,
199,930,641,227,911,238,089,852,498,573,493,396,607,779,899,218,152,822,199,
135,426,257,287,830,604,824,083,151,356,660,262,797,110,502,369,652,439,921,
150,594,949,835,864,157,993,284,207,832,067,351,601,226,386,079,248,970,787,
735,631,211,201,318,421,700,019,438,247,344,708,457,927,312,464,320,602,385,
547,752,491,130,753,217,873,573,714,151,471,626,530,126,161,090,627,250,795,
523,448,101,260,870,620,933,289,785,404,639,958,096,496,213,051,138,619,340,
956,765,638,548,214,858,902,938,540,779,014,747,605,332,199,791,550,104,510,
931,069,198,604,477,725,045,280,674,709,716,273,171,625,185,635,526,635,141,
253,446,354,252,261,274,451,877,662,966,357,696,547,269,761,299,345,531,594,
543,116,047,705,050,514,585,307,761,268,029,669,107,481,035,278,112,500,782,
989,390,475,303,910,257,987,218,546,929,005,232,208,685,363,046,861,703,092,
086,153,220,824,209,729,423,871,617,921,433,538,697,066,554,112,674,610,887,
104,262,752,760,925,297,712,180,396,445,650,081,272,471,663,343,624,450,032,
525,535,241,739,855,851,571,408,134,378,563,944,572,423,012,674,063,575,784,
506,429,419,108,090,996,759,891,989,174,163,899,782,571,895,997,425,176,146,
349,824,684,125,607,703,048,145,420,840,920,319,876,785,143,437,617,508,125,
621,824,582,075,132,156,380,483,539,541,322,760,119,556,566,028,700,085,456,
424,341,037,386,652,939,481,560,260,154,802,734,482,644,905,119,189,310,013,
424,627,633,673,015,762,999,415,578,825,959,413,226,172,235,883,849,947,536,
982,960,265,581,867,814,730,720,838,263,827,006,339,101,583,667,080,553,110,
295,089,664,523,228,264,257,484,405,523,574,881,369,235,715,737,813,492,910,
744,308,146,592,135,573,426,773,713,690,277,962,408,817,068,177,948,397,640,
367,201,339,697,179,053,952,905,197,129,823,555,970,072,972,478,623,457,089,
396,803,781,147,919,865,805,906,962,129,560,221,249,428,150,550,783,557,387,
941,566,689,694,241,771,402,118,196,066,025,291,923,506,013,911,025,753,422,
311,321,684,558,500,655,295,776,844,475,360,617,721,780,656,508,700,083,932,
899,785,139,374,945,066,562,339,049,934,833,623,998,995,172,909,629,030,703,
047,279,695,470,477,667,248,489,006,440,317,438,014,493,995,902,717,013,597,
051,315,053,305,045,113,668,518,170,896,198,524,925,334,860,847,964,591,102,
338,437,706,927,595,460,428,594,920,897,142,440,729,817,528,659,394,866,535,
147,785,000,634,091,975,661,937,172,729,631,556,190,312,188,845,627,987,321,
067,146,517,148,258,651,887,002,202,964,039,026,230,754,324,290,508,320,099,
749,067,537,479,777,040,333,600,896,723,377,870,603,278,281,180,884,698,926,
141,454,329,292,527,159,824,848,662,858,011,490,109,563,469,306,141,847,827,
917,018,686,958,896,246,959,950,397,506,259,491,143,826,562,118,481,042,967,
191,207,623,164,767,436,017,628,524,586,379,299,082,297,135,346,523,113,177,
377,644,711,894,713,164,147,292,232,717,780,125,648,943,229,877,622,284,105,
225,998,248,493,302,417,317,881,160,466,792,572,685,815,318,922,817,653,261,
426,287,787,812,097,102,692,973,552,862,672,876,008,536,599,693,915,933,007,
506,867,918,319,806,772,401,313,250,549,305,853,826,776,391,010,488,555,021,
737,263,178,053,203,587,062,984,916,581,363,039,434,201,572,830,116,488,499,
462,716,081,174,234,924,719,582,524,062,842,639,311,541,902,666,358,206,030,
463,192,135,002,403,229,532,916,985,190,005,748,617,117,477,687,367,952,826,
230,117,271,315,268,984,397,086,076,226,243,063,902,463,606,219,569,832,492,
516,613,871,255,659,028,944,190,593,173,384,912,552,796,957,090,321,321,606,
482,576,909,841,286,354,400,198,343,116,366,466,132,529,653,853,210,605,656,
306,728,007,563,284,897,824,628,480,172,215,103,703,145,908,867,197,079,132,
266,180,951,908,367,875,734,813,716,072,792,913,981,302,657,143,144,672,756,
051,384,508,988,971,659,478,891,822,420,828,553,603,591,222,128,321,328,964,
898,237,107,690,509,897,183,122,471,888,547,908,425,197,957,850,964,535,556,
112,593,693,557,260,072,500,894,502,392,538,762,971,491,268,329,607,112,263,
507,364,390,370,266,393,113,998,532,321,372,172,717,242,566,531,973,827,600,
291,208,776,479,391,020,562,469,242,432,170,514,774,272,666,912,625,921,768,
613,093,149,079,778,789,794,560,296,636,481,594,814,070,015,208,201,188,449,
488,003,461,618,555,560,950,493,552,677,161,882,855,570,472,846,455,894,555,
135,181,378,243,793,689,831,068,041,400,374,724,940,876,639,510,689,294,006,
759,025,252,939,370,367,984,605,906,727,864,339,034,970,470,641,416,459,276,
607,775,475,911,633,219,584,334,193,333,415,790,823,695,345,953,425,319,720,
690,299,830,975,520,624,864,683,063,757,634,233,768,740,416,364,743,775,941,
495,889,241,632,000,564,265,373,763,889,439,723,845,965,643,090,730,415,598,
806,613,298,674,763,681,903,120,406,887,035,053,225,633,604,091,536,710,214,
390,516,081,062,982,938,059,115,574,281,301,797,919,735,962,311,607,882,630,
049,193,452,090,960,299,196,621,731,366,266,671,430,223,361,042,801,182,026,
593,261,219,935,309,495,633,948,303,959,242,168,563,091,212,753,192,922,633,
633,045,090,714,494,310,248,956,894,535,352,891,049,890,336,986,951,065,607,
945,151,663,017,214,392,150,443,228,403,700,119,436,478,463,041,803,069,315,
339,658,940,918,160,513,432,965,471,207,580,239,967,912,995,515,157,806,297,
822,222,239,667,810,499,728,296,844,920,192,234,914,950,469,941,378,061,861,
223,014,960,347,057,919,905,267,005,606,501,864,960,602,102,530,805,101,424,
330,359,205,263,234,011,762,382,510,894,921,447,094,754,030,314,252,017,129,
896,426,554,454,393,678,601,945,757,863,978,731,261,321,852,094,644,813,301,
909,691,231,850,274,510,135,803,089,587,295,136,777,916,282,485,953,739,852,
721,439,415,533,250,733,079,143,408,777,175,951,586,178,862,870,099,572,946,
003,731,420,940,997,161,703,468,485,994,643,943,435,643,788,836,598,955,241,
503,592,791,813,702,178,362,865,942,861,472,638,330,712,785,889,207,860,750,
899,546,143,551,587,427,905,507,192,079,265,871,360,480,245,122,224,066,437,
930,979,974,661,993,434,326,419,883,859,996,680,019,061,216,271,403,070,209,
417,932,628,121,406,891,707,661,935,642,948,779,104,042,701,858,674,290,999,
015,795,337,776,479,344,470,093,660,973,887,580,619,018,791,688,831,064,015,
392,425,753,527,701,569,635,516,958,932,372,064,040,539,067,643,215,219,552,
445,780,241,143,419,235,950,589,375,555,707,232,878,955,198,738,345,309,945,
147,711,599,463,223,538,311,815,729,095,787,704,865,264,201,909,314,410,971,
383,046,178,155,058,964,754,577,890,973,417,313,450,697,801,994,776,149,280,
541,568,867,324,800,717,539,307,826,585,428,775,732,014,192,357,391,902,121,
871,720,991,838,175,290,081,423,203,559,309,076,294,999,763,621,610,671,948,
589,822,856,970,065,583,716,827,083,622,096,957,412,822,838,311,736,445,325,
930,195,253,914,045,162,699,466,732,110,377,120,842,326,322,986,437,645,457,
741,380,532,403,494,908,672,363,411,790,704,360,744,727,524,595,613,415,242,
609,430,721,613,086,376,194,138,415,820,120,634,555,340,569,877,919,778,468,
812,536,922,071,690,700,882,362,386,926,776,280,429,802,459,749,529,072,311,
490,661,356,659,231,935,967,417,962,621,450,864,768,221,715,450,986,901,823,
114,033,111,917,336,399,511,133,701,163,557,699,965,670,208,411,515,492,130,
469,397,949,727,500,947,688,040,052,347,827,530,032,793,629,356,395,152,823,
988,275,830,775,447,712,414,706,512,043,527,937,715,092,944,195,888,735,730,
768,896,704,762,371,447,135,381,183,439,575,172,379,915,709,806,952,019,747,
091,941,193,082,725,057,605,794,429,232,866,396,721,024,146,167,645,292,572,
042,423,605,493,705,776,837,067,773,342,820,995,887,470,207,822,501,106,306,
522,323,580,382,258,185,767,201,064,448,202,761,785,387,155,025,514,559,890,
506,100,826,522,466,189,151,674,381,553,730,774,485,938,325,778,544,725,707,
444,531,089,838,144,885,368,539,558,984,824,927,701,892,166,068,359,316,323,
694,158,055,763,570,333,558,880,275,324,420,693,468,591,024,657,648,705,236,
307,245,599,307,562,183,783,648,356,631,855,593,325,202,198,703,546,885,086,
323,620,610,826,820,200,877,867,801,251,770,853,353,238,591,371,142,860,213,
762,404,406,479,176,877,359,861,449,274,297,420,810,729,954,620,302,952,986,
416,904,131,932,269,344,468,587,704,915,059,580,695,194,460,269,639,851,593,
421,141,983,165,102,735,297,065,209,605,864,919,885,028,402,741,084,207,626,
426,562,632,531,900,937,118,450,034,767,845,023,035,100,141,495,860,606,585,
169,859,427,850,959,932,646,791,047,119,402,185,476,101,545,626,607,014,596,
988,644,035,065,674,144,248,188,206,230,699,622,121,163,606,674,532,990,560,
942,049,391,625,537,801,625,022,250,912,740,227,881,409,654,700,147,804,219,
122,752,510,634,698,914,409,882,024,294,633,655,285,234,050,016,920,216,033,
599,616,346,264,872,623,189,878,416,266,755,876,780,855,751,927,292,439,633,
919,296,283,397,146,901,189,899,828,694,592,136,625,641,516,240,583,324,496,
372,789,207,294,004,151,349,307,946,044,053,476,924,018,421,228,409,340,184,
025,938,530,528,613,836,198,716,576,586,964,403,081,789,698,959,685,360,548,
567,444,829,877,786,013,562,383,225,484,397,084,849,262,910,502,213,465,026,
839,098,327,434,760,942,059,469,082,500,653,186,168,366,481,265,945,008,840,
670,492,620,218,844,841,351,316,925,199,231,305,480,685,151,389,169,283,812,
949,678,561,658,777,715,695,161,522,930,903,783,506,231,579,175,091,958,756,
701,838,817,485,340,619,682,141,578,057,084,697,925,167,161,534,235,071,477,
886,104,821,985,975,362,989,222,445,027,568,678,282,934,937,825,733,746,006,
933,852,715,239,883,258,561,742,664,713,687,141,749,257,526,889,363,028,697,
539,117,858,575,279,775,706,033,985,521,458,404,558,872,295,638,431,295,986,
963,736,619,488,806,242,779,053,067,602,139,103,664,006,399,870,699,660,339,
719,528,406,338,871,132,037,681,460,497,533,430,817,381,738,243,166,001,250,
890,708,584,809,451,072,614,019,983,032,626,009,435,738,774,860,857,251,285,
228,440,725,375,758,636,679,021,502,840,706,606,469,349,073,646,252,238,398,
842,842,058,112,461,811,575,677,361,309,864,103,634,494,094,567,336,365,874,
262,394,043,717,095,621,818,149,854,639,877,057,517,526,134,429,860,677,541,
878,028,923,207,709,858,075,656,272,266,057,516,230,440,192,056,883,249,674,
373,900,368,814,343,323,554,123,717,457,644,090,383,233,442,720,158,712,691,
837,364,401,593,315,702,397,822,251,808,269,544,752,238,793,313,931,691,069,
535,025,367,912,305,774,203,742,780,231,489,956,907,388,440,727,467,317,374,
030,697,241,334,189,154,876,434,882,360,069,744,294,099,980,979,043,675,434,
215,306,112,390,142,762,696,485,536,353,842,091,726,295,010,128,167,895,103,
554,116,202,066,773,103,610,517,147,996,294,003,511,496,801,408,065,760,152,
617,653,443,174,436,799,463,410,835,962,117,918,388,557,915,140,234,538,924,
698,942,184,320,871,745,076,251,261,684,723,766,604,556,538,612,071,808,304,
255,307,831,773,257,238,288,701,942,259,192,627,786,672,140,710,003,587,124,
680,971,434,214,006,871,936,818,737,016,052,655,668,589,479,507,346,319,883,
630,330,645,255,719,709,725,641,794,317,957,522,922,604,524,023,888,467,918,
559,710,083,866,823,338,958,351,420,330,372,953,983,127,178,334,617,548,205,
260,992,784,729,283,968,748,679,234,524,513,663,262,910,873,425,142,472,731,
895,874,470,186,711,822,377,054,253,700,952,947,960,362,214,471,315,698,764,
189,045,077,004,907,988,309,366,513,234,600,887,540,158,272,408,355,523,417,
039,143,488,974,561,372,249,730,135,665,088,882,136,988,676,301,723,896,837,
463,630,257,438,303,718,684,567,143,782,426,223,093,309,015,165,370,759,372,
556,557,324,739,756,516,651,422,624,775,297,101,172,105,039,662,996,057,906,
896,268,703,503,814,893,592,706,151,293,351,362,002,452,404,689,374,974,444,
895,083,484,159,275,081,400,534,607,217,058,405,364,791,234,172,381,788,443,
377,305,583,197,071,219,744,578,080,061,203,262,308,039,032,130,348,887,583,
230,266,839,281,380,269,219,656,978,841,904,115,064,990,385,073,822,538,661,
604,693,204,820,116,536,622,761,947,585,548,061,670,910,779,723,787,150,369,
544,344,274,755,601,540,232,192,123,549,883,174,166,626,804,856,622,017,267,
973,612,147,881,337,620,806,961,506,433,012,697,449,630,041,849,799,655,015,
077,075,665,688,533,967,222,850,376,447,763,910,223,753,006,619,450,783,062,
026,067,443,506,795,136,642,485,722,067,674,445,417,546,144,060,435,746,831,
337,386,140,257,294,610,644,031,047,225,804,016,771,418,814,338,996,878,203,
196,269,534,972,604,315,246,253,468,995,306,121,450,808,040,811,687,025,487,
517,211,610,456,830,364,240,782,787,235,746,068,303,636,470,058,983,460,864,
265,659,627,300,980,841,144,885,417,646,386,384,711,670,642,823,561,280,267,
442,903,491,632,557,949,388,949,574,538,292,566,230,459,285,322,963,673,067,
058,175,953,875,207,338,597,886,277,547,280,820,269,959,951,944,521,288,796,
246,900,727,025,114,328,727,306,960,599,563,455,292,011,440,416,419,298,999,
190,398,306,996,324,720,207,804,362,718,177,444,732,059,802,257,091,870,295,
783,578,642,239,045,984,920,463,169,353,363,610,238,283,810,750,048,564,948,
402,726,127,472,255,625,592,889,941,126,976,070,024,883,443,292,498,839,371,
051,430,267,530,662,422,806,692,826,068,969,720,380,894,047,007,888,716,790,
012,910,285,868,950,993,707,870,817,658,317,187,929,658,766,656,676,623,247,
580,761,718,985,415,914,125,175,237,764,187,079,231,577,415,388,533,572,920,
844,225,031,203,408,142,829,472,387,440,118,940,703,101,726,005,720,224,536,
311,904,340,722,266,739,514,098,871,981,730,151,825,326,288,152,190,291,154,
694,157,685,407,021,917,930,505,832,200,438,023,062,841,375,017,139,081,522,
687,172,468,297,664,122,223,367,701,985,626,481,316,558,369,324,221,318,676,
473,056,297,561,039,025,716,517,871,804,659,379,300,729,030,388,317,964,111,
033,734,413,469,139,903,416,064,989,254,800,121,916,811,622,308,256,798,336,
594,331,036,733,478,827,234,832,265,414,910,335,240,273,033,490,613,194,011,
147,803,005,108,991,248,074,732,406,383,651,019,360,668,667,126,647,174,909,
585,831,063,492,315,936,756,304,847,995,419,412,991,861,462,801,313,043,335,
032,292,087,830,979,336,770,838,833,239,752,192,226,594,030,195,146,756,890,
854,781,127,943,616,982,440,063,289,041,248,125,725,553,029,160,629,818,045,
133,204,193,753,747,704,828,742,481,486,107,169,868,473,573,087,773,171,894,
023,071,523,385,208,182,852,800,361,419,772,204,481,949,509,452,828,524,135,
166,730,473,020,058,193,068,423,704,311,011,190,027,952,307,376,785,150,240,
941,938,268,858,945,345,955,826,850,807,991,666,974,893,704,736,709,878,010,
318,187,182,843,633,335,053,788,397,439,642,535,369,749,572,794,183,800,982,
740,228,110,084,603,127,360,049,745,989,905,117,118,410,331,659,432,557,724,
131,951,371,039,589,350,481,349,471,104,049,098,269,600,581,344,944,929,362,
057,936,720,472,832,274,212,732,503,569,805,384,152,757,146,948,246,240,518,
486,420,657,249,319,994,505,661,535,240,171,575,805,485,875,320,478,718,513,
036,894,037,881,215,644,201,944,202,125,609,773,947,743,642,803,314,903,791,
708,797,824,966,907,055,332,203,957,702,480,838,557,249,958,303,808,113,630,
625,295,145,794,745,668,979,452,209,629,081,562,121,693,457,511,644,230,501,
008,583,169,371,976,585,283,195,490,076,999,253,244,293,689,995,780,398,314,
020,091,065,955,882,388,663,068,916,963,459,937,882,207,406,480,385,822,866,
788,377,877,961,053,103,634,214,609,957,780,088,552,205,817,334,666,870,025,
801,624,467,773,401,376,528,084,717,984,305,872,636,615,402,376,929,787,492,
261,184,661,302,976,465,181,797,172,262,076,993,186,736,088,069,908,243,750,
020,887,306,561,424,603,750,430,958,437,915,562,685,835,962,440,395,552,145,
809,227,503,859,867,140,836,805,464,734,341,098,881,717,928,344,252,652,559,
946,356,558,286,768,679,233,930,918,774,216,456,111,792,843,361,382,154,506,
729,618,768,300,441,422,006,083,965,543,816,785,131,109,965,249,632,441,051,
554,484,496,964,910,951,496,077,297,067,276,375,690,884,558,060,092,729,990,
482,632,618,346,366,613,919,481,010,007,916,113,757,835,594,710,186,637,164,
900,200,763,762,194,556,526,451,600,488,035,788,909,646,157,687,808,147,099,
585,703,633,630,929,231,368,824,728,981,808,114,897,149,206,839,470,274,537,
929,290,542,039,779,118,663,412,803,423,142,039,514,138,988,583,302,115,233,
244,873,186,468,318,078,736,501,322,314,337,473,756,139,737,109,066,407,633,
161,281,255,595,868,663,500,700,297,690,138,148,626,880,206,413,129,445,454,
184,628,502,231,648,368,919,715,706,496,583,381,415,661,465,740,598,937,619,
655,366,452,229,943,062,925,597,926,075,206,046,650,662,521,477,469,302,214,
653,384,941,049,303,470,904,200,536,571,026,073,569,770,490,718,301,819,828,
731,495,167,962,044,261,334,847,934,332,510,809,826,886,321,536,830,445,463,
651,386,406,552,883,941,767,294,002,212,770,795,181,396,980,879,891,030,806,
826,309,399,495,426,655,109,805,314,543,590,809,718,066,845,834,584,768,743,
063,442,233,097,368,619,829,276,635,600,635,070,678,701,841,207,085,480,523,
735,597,227,545,222,902,949,159,700,990,237,902,315,248,264,076,337,090,448,
829,315,232,831,221,184,748,078,816,631,543,668,190,508,998,314,391,780,405,
065,532,323,730,327,429,237,148,599,873,009,583,189,023,266,446,154,188,365,
076,267,752,835,947,639,226,358,322,126,670,148,855,729,839,326,014,232,553,
787,725,753,335,987,193,887,765,464,095,251,315,359,342,038,933,123,945,978,
658,833,912,952,808,681,659,984,963,982,871,255,741,280,460,745,159,077,163,
673,774,912,950,245,639,692,473,889,560,006,672,681,310,672,825,532,743,903,
322,708,929,355,328,265,535,177,879,309,714,216,091,199,551,025,896,955,630,
914,274,339,910,413,175,370,391,071,817,331,460,436,419,400,654,328,390,930,
556,121,294,726,953,878,829,125,635,466,071,247,937,395,014,558,879,884,438,
152,028,200,206,392,721,731,487,437,172,764,152,960,168,611,738,890,522,903,
804,116,068,956,388,487,305,094,319,433,774,007,909,686,972,164,566,958,432,
938,316,738,589,651,490,141,425,955,276,537,971,722,016,901,519,182,313,376,
202,099,638,827,867,504,813,939,347,230,817,918,847,693,272,815,574,538,749,
277,324,368,968,604,512,380,638,843,883,504,721,165,541,716,582,457,144,416,
621,978,720,717,274,139,415,201,066,095,184,874,307,207,332,432,841,372,608,
438,573,863,129,579,152,334,019,140,868,638,873,923,982,435,509,845,289,585,
369,165,794,286,854,695,675,693,979,189,580,117,076,737,782,762,514,392,199,
486,813,491,154,960,096,219,824,938,661,920,825,879,430,485,767,291,941,918,
163,627,994,339,957,716,694,556,259,124,522,212,972,525,357,342,696,783,173,
509,395,756,394,568,143,239,313,538,604,592,813,117,322,700,044,851,881,509,
677,713,884,212,038,326,145,672,306,863,798,708,226,921,214,869,717,937,764,
413,321,336,240,270,486,868,088,638,124,417,298,853,315,977,855,844,745,140,
278,537,695,621,400,192,177,755,331,520,372,652,065,335,805,629,833,901,344,
394,459,168,719,415,519,645,858,555,285,487,466,005,709,266,580,828,318,047,
901,852,043,515,024,563,505,052,122,238,478,616,228,735,276,045,623,827,232,
468,085,166,921,291,429,212,891,151,199,037,005,161,272,843,252,519,865,661,
548,271,031,983,126,303,226,729,437,788,499,474,215,669,070,325,739,258,109,
715,950,351,630,000,852,961,451,846,899,087,652,177,799,885,752,949,465,482,
064,513,410,871,121,865,536,947,537,378,069,557,012,882,725,504,712,226,854,
172,043,753,493,264,910,322,933,598,448,827,320,016,811,224,234,186,767,417,
990,566,197,128,910,430,803,847,549,680,717,385,881,081,373,089,052,405,277,
722,421,316,739,803,233,449,822,595,375,868,027,469,935,498,175,724,799,463,
517,167,740,762,443,785,134,674,239,866,770,334,162,958,778,037,810,801,725,
012,990,978,606,771,165,933,413,209,710,964,378,116,672,765,773,049,538,573,
866,051,955,363,482,779,173,558,532,740,164,063,259,131,968,685,235,532,861,
607,630,801,419,394,788,336,726,870,110,986,171,311,345,689,446,157,168,434,
978,970,437,278,205,507,203,387,171,629,238,584,560,986,571,958,299,381,346,
090,689,681,147,822,930,178,148,146,479,091,919,119,399,822,887,905,268,341,
952,783,408,212,538,802,637,080,691,567,989,192,571,020,868,109,735,250,505,
487,762,426,034,512,606,784,264,720,768,571,738,202,904,879,541,955,499,176,
344,587,919,195,103,538,806,466,586,815,096,110,056,670,102,408,657,123,551,
047,902,599,305,616,468,532,801,616,794,296,962,375,608,408,461,303,616,016,
313,636,395,180,125,502,824,920,464,220,270,175,413,612,025,722,443,070,043,
103,051,782,258,687,516,906,449,102,322,303,176,005,060,287,419,055,173,111,
325,123,582,191,265,607,370,685,491,081,793,010,919,074,749,996,752,824,341,
656,506,637,023,482,092,489,118,211,802,069,206,953,139,913,941,084,010,720,
592,497,464,552,838,558,009,697,557,046,932,338,478,071,634,842,972,962,138,
235,568,501,911,811,474,322,182,632,337,762,196,912,697,662,646,274,950,673,
150,496,298,367,526,618,802,682,779,496,826,876,434,712,956,049,549,995,836,
013,025,472,657,095,235,072,713,072,912,797,795,589,282,359,555,638,190,705,
195,001,611,965,484,696,846,035,565,732,791,457,857,891,508,264,285,512,831,
345,721,692,054,382,278,841,480,190,897,351,906,205,098,209,540,776,835,501,
535,281,484,841,198,279,994,263,623,208,335,255,174,553,340,260,261,829,454,
456,625,891,547,075,746,812,608,164,440,364,468,457,133,173,936,174,914,453,
914,660,121,857,764,563,940,408,520,491,804,474,893,220,107,537,197,281,163,
101,033,998,950,862,030,004,768,498,042,901,514,089,671,921,100,516,862,815,
581,291,670,043,197,952,105,318,057,236,645,094,716,761,580,573,730,744,285,
606,968,585,713,458,135,535,104,726,435,760,329,179,171,052,693,460,657,022,
178,543,473,554,700,039,357,850,734,031,956,146,161,707,152,443,428,449,017,
150,378,203,030,738,435,017,214,764,522,840,448,013,251,766,136,674,397,718,
455,234,951,354,412,624,580,502,161,872,177,337,518,057,993,020,507,276,516,
426,510,280,513,777,509,788,462,843,286,589,555,179,298,934,492,898,013,354,
237,047,460,213,055,535,967,504,178,148,823,193,609,706,434,834,148,341,825,
865,191,313,613,103,882,303,795,549,143,419,491,697,302,475,913,509,103,168,
952,709,845,255,480,715,254,309,336,402,341,938,957,452,366,675,363,111,304,
314,675,381,941,512,371,017,864,893,291,570,706,436,548,415,661,097,027,073,
820,128,481,071,986,597,528,463,058,311,148,567,749,340,928,941,592,758,427,
957,451,920,632,531,071,841,763,772,533,681,695,927,687,384,729,693,089,522,
147,587,387,512,628,213,564,357,957,992,767,320,125,305,012,744,488,083,680,
907,043,383,089,555,514,154,154,459,385,353,730,192,865,200,880,597,070,187,
038,674,872,398,966,532,531,963,817,015,108,206,609,735,304,857,002,582,944,
017,668,102,131,997,520,741,138,097,494,079,299,038,271,582,548,351,899,019,
057,117,977,122,871,696,478,710,967,510,118,775,176,536,848,966,169,637,399,
854,558,567,451,595,783,012,376,064,692,849,357,605,303,490,159,608,590,429,
156,891,579,237,824,465,045,585,400,689,200,157,439,456,677,981,576,911,144,
645,010,918,592,223,409,152,316,160,192,209,166,653,188,434,569,626,618,233,
119,504,339,677,397,246,884,447,709,307,431,561,952,748,167,348,764,883,578,
704,277,415,616,657,595,040,185,161,197,627,378,947,114,663,895,598,890,700,
252,549,259,144,039,361,205,656,914,955,095,897,418,915,651,643,448,764,209,
186,001,286,389,975,670,551,808,174,305,634,058,621,356,715,879,352,782,354,
003,278,791,503,014,389,895,764,678,857,818,457,693,786,679,115,895,027,567,
269,822,525,594,093,383,114,643,706,462,134,476,922,995,398,229,025,257,352,
285,949,374,798,459,434,432,555,343,327,249,763,043,514,745,928,872,773,329,
618,136,705,189,782,566,461,668,435,632,978,439,036,538,743,479,777,544,117,
523,701,769,658,745,218,206,783,480,526,573,991,120,942,680,047,827,847,785,
383,280,328,586,891,579,489,121,778,603,841,309,981,806,697,871,400,952,785,
776,554,470,545,757,311,160,163,303,265,230,502,468,411,981,330,839,839,485,
237,377,320,429,845,425,982,466,460,893,861,981,605,528,742,348,562,954,764,
388,753,722,036,920,012,144,950,460,672,061,054,476,130,327,019,916,532,122,
283,277,601,541,279,545,429,865,745,438,478,040,761,982,111,443,166,523,266,
994,386,614,015,293,377,052,227,931,044,428,245,026,095,873,710,948,823,513,
028,492,624,112,580,570,602,215,931,485,438,777,191,789,782,492,877,314,299,
943,809,729,655,397,635,501,992,819,923,502,034,379,809,174,582,388,550,956,
399,517,411,106,405,049,974,902,900,378,725,470,633,550,231,498,341,787,865,
791,706,711,996,882,680,792,330,339,522,604,513,136,679,618,518,493,909,178,
308,998,220,698,956,760,328,980,447,223,332,511,411,441,269,885,536,126,496,
564,120,146,559,604,297,209,297,627,837,802,204,311,353,515,031,992,169,823,
970,552,486,981,421,143,782,968,149,612,120,774,870,872,114,486,708,193,125,
395,826,769,113,542,154,211,281,374,537,091,428,259,982,679,266,670,097,440,
906,275,272,117,787,398,216,761,046,149,259,653,099,942,680,783,125,878,341,
393,738,214,734,776,463,548,097,637,861,214,144,223,053,136,838,823,209,477,
946,676,184,095,960,261,637,507,603,769,101,212,121,335,534,043,475,518,604,
922,620,743,026,846,256,746,181,836,595,427,416,983,673,837,349,732,692,119,
323,566,787,105,807,378,393,479,005,609,069,412,436,674,740,040,557,211,161,
159,106,772,878,081,559,404,046,492,878,804,281,327,689,390,854,600,469,212,
402,269,717,275,375,664,349,349,941,842,382,449,194,595,232,545,765,359,416,
361,667,515,199,139,158,807,199,784,682,842,994,280,941,758,566,823,564,093,
834,251,007,447,268,000,318,142,627,034,830,563,714,811,624,874,546,464,879,
033,828,739,276,876,358,347,934,205,356,875,732,775,479,099,796,026,770,318,
331,448,521,913,207,463,031,778,530,376,482,836,841,546,306,474,942,444,708,
704,290,392,052,302,394,227,916,303,807,436,938,805,819,317,027,918,228,788,
101,461,853,207,936,838,660,685,851,383,889,464,249,047,335,402,455,941,071,
078,870,315,359,155,867,044,538,464,924,028,784,525,247,778,025,138,309,857,
161,562,510,291,418,428,819,820,533,452,975,156,923,113,506,796,677,693,901,
269,400,361,898,526,901,388,372,065,555,849,133,729,199,745,417,003,440,435,
714,762,375,237,136,244,645,182,443,488,167,442,111,498,832,959,824,566,490,
733,814,680,829,198,539,736,635,167,395,453,848,324,533,672,868,100,088,519,
338,108,230,926,769,755,206,969,215,766,151,231,028,186,322,317,541,661,952,
010,031,333,340,278,129,057,750,473,914,603,729,523,529,221,522,389,572,744,
307,663,365,995,383,358,765,256,628,654,113,341,988,118,642,803,565,183,478,
141,575,545,634,187,739,579,801,277,162,270,576,631,527,573,388,988,378,927,
559,920,070,436,445,027,239,358,361,934,336,180,206,804,381,071,804,174,871,
351,208,458,973,269,036,875,375,098,971,671,642,105,670,126,772,333,380,643,
813,865,045,375,180,173,190,866,937,496,465,455,204,775,332,814,862,560,769,
151,501,868,816,267,207,864,685,938,555,960,654,303,381,503,903,095,996,903,
274,431,494,825,327,310,651,228,559,412,626,521,745,551,017,848,072,144,453,
004,583,276,849,641,856,351,727,444,484,171,120,057,996,428,048,472,756,262,
688,408,135,688,640,044,749,963,295,309,130,005,956,107,726,796,271,136,916,
841,899,797,269,617,813,212,101,414,055,180,203,280,267,343,137,036,702,206,
820,944,492,396,824,271,588,362,802,473,315,120,409,639,655,596,672,408,564,
194,119,578,676,438,338,140,924,833,286,482,811,006,746,225,118,282,275,341,
763,034,113,553,025,716,070,794,522,593,568,435,940,627,002,178,534,092,596,
271,286,310,244,470,060,064,155,906,561,166,432,360,494,900,459,979,564,736,
728,469,587,239,955,137,267,300,655,403,713,116,397,114,489,674,017,973,761,
503,201,829,278,237,153,679,750,778,400,283,535,070,993,187,913,422,875,649,
137,836,779,133,433,479,285,581,017,150,480,692,203,046,861,517,254,140,135,
079,043,603,753,900,519,540,820,389,948,560,069,531,660,564,358,244,937,457,
868,731,453,797,200,298,011,079,165,658,752,562,086,978,970,966,420,422,262,
391,160,395,297,594,946,371,759,590,861,343,284,893,260,478,883,943,247,884,
420,736,420,399,159,322,273,694,320,204,458,911,537,713,153,231,302,968,469,
255,899,526,087,289,257,871,647,475,740,100,176,487,197,881,696,499,062,819,
459,138,510,590,862,941,004,665,703,652,188,768,664,785,840,557,044,365,153,
343,962,168,370,795,649,205,801,758,493,096,878,621,473,579,897,988,464,306,
581,961,581,908,856,464,577,784,239,901,263,201,017,799,341,104,161,786,377,
825,469,855,517,405,649,148,034,247,980,359,153,119,543,307,069,896,665,039,
569,066,031,448,014,555,022,170,753,710,785,286,432,809,743,330,871,212,505,
452,909,951,548,002,412,470,824,251,053,120,592,644,690,477,106,742,714,397,
227,274,492,673,982,512,477,716,633,479,502,652,136,407,740,482,641,195,120,
468,690,402,817,670,375,231,307,423,088,319,820,905,187,087,132,272,185,102,
520,790,174,321,255,655,584,143,357,453,338,752,703,056,678,604,725,221,541,
414,894,508,442,632,065,166,699,445,847,317,625,527,632,851,004,591,784,991,
957,784,844,522,086,613,306,389,496,708,034,253,674,616,331,144,598,894,457,
952,019,684,792,154,786,691,305,893,301,072,786,670,906,750,939,362,851,615,
290,226,823,281,779,898,689,455,972,413,736,460,580,483,464,234,981,325,794,
671,486,675,093,543,495,200,681,646,955,148,516,001,888,788,371,850,740,718,
600,010,989,890,392,279,306,041,543,449,458,387,907,986,542,155,703,871,693,
570,343,189,007,036,747,297,803,472,940,208,036,075,361,749,201,584,372,942,
873,564,056,153,274,643,610,920,496,238,464,490,355,133,765,193,021,540,010,
521,065,162,259,936,237,361,039,864,314,093,883,870,491,178,880,019,135,264,
268,791,055,306,392,003,586,731,973,904,904,906,846,505,598,291,323,590,677,
578,634,097,671,589,753,231,365,798,581,464,658,333,338,463,114,854,539,499,
440,191,376,367,146,869,604,919,922,826,519,163,656,832,108,604,065,280,965,
716,355,467,746,092,540,538,820,039,354,315,237,517,839,002,207,021,214,589,
863,702,438,444,392,143,058,453,042,820,725,754,044,729,952,690,441,171,467,
121,240,654,986,503,976,616,837,286,309,074,432,346,308,525,188,797,850,641,
842,662,420,749,458,196,312,021,986,991,378,410,396,759,070,122,258,554,933,
685,147,039,890,596,393,276,755,316,765,928,154,228,129,684,644,548,366,331,
107,336,613,054,891,667,723,336,215,014,648,336,973,917,329,774,969,456,217,
156,311,603,870,814,659,793,721,943,577,471,750,149,967,517,897,371,861,006,
220,813,346,526,467,027,180,249,412,421,561,460,648,035,299,642,609,991,455,
664,869,732,476,765,602,522,222,874,464,295,464,730,701,512,700,449,677,315,
861,856,805,067,792,000,032,140,757,321,994,908,078,241,110,165,879,306,233,
844,762,649,410,454,399,646,042,229,285,233,294,781,466,534,767,720,230,086,
889,785,817,944,229,246,749,388,873,734,892,770,675,542,883,184,803,553,768,
865,142,229,409,483,708,078,635,430,992,787,412,697,601,261,643,005,683,315,
572,575,172,631,239,600,136,352,203,557,555,774,014,197,688,583,835,275,223,
962,166,530,014,024,598,775,258,196,295,561,150,032,652,416,192,337,964,092,
008,739,654,102,936,668,476,167,062,845,117,229,110,530,807,991,011,172,735,
463,389,975,991,822,591,524,958,104,720,658,582,027,489,005,535,678,330,962,
353,622,174,715,161,038,911,346,542,210,826,686,801,418,620,109,647,465,476,
505,015,347,469,574,573,582,883,272,406,118,240,500,671,596,501,415,114,090,
437,268,807,270,558,185,840,774,167,618,838,870,995,387,894,400,204,250,324,
723,888,503,504,015,101,984,654,282,071,482,232,173,379,957,140,225,057,704,
939,117,039,804,425,762,292,807,583,297,090,880,465,040,002,671,603,921,589,
523,404,405,563,168,728,958,546,049,959,608,529,637,017,981,742,154,454,669,
564,884,194,591,462,829,397,215,462,840,850,197,761,845,562,974,061,089,658,
461,116,482,691,303,337,007,988,149,144,497,819,983,349,370,705,215,590,002,
121,800,752,491,070,432,331,541,084,626,234,069,017,939,770,360,049,141,944,
800,728,911,842,591,546,154,842,936,429,614,514,543,446,921,256,629,128,670,
807,030,665,346,833,297,014,402,661,115,057,260,653,728,201,386,543,514,179,
159,050,954,605,130,959,575,563,306,236,443,649,011,114,590,333,117,863,511,
947,963,505,100,379,061,184,794,964,281,826,912,950,685,463,901,861,774,413,
530,940,067,465,503,236,631,094,966,250,723,676,989,380,849,732,072,939,592,
088,345,041,733,105,555,355,420,803,734,891,100,969,823,879,088,924,652,583,
102,053,119,871,997,686,839,586,939,613,578,174,066,930,258,659,194,326,749,
309,558,010,946,529,076,743,336,003,200,302,442,080,603,445,797,046,568,641,
640,208,056,755,073,517,556,027,635,765,808,297,461,649,657,580,255,021,301,
382,819,261,318,737,871,823,386,807,066,539,880,771,254,510,359,897,078,324,
604,422,741,244,804,078,008,487,250,460,457,323,141,219,699,025,357,862,707,
081,867,135,866,655,767,120,603,971,407,713,851,182,486,088,380,242,300,323,
230,347,966,463,535,215,577,108,953,096,897,790,541,705,905,767,903,244,718,
135,460,267,945,316,095,190,910,437,891,365,118,788,550,206,141,526,480,163,
915,483,414,454,947,682,543,521,902,515,458,840,735,106,463,857,376,467,547,
775,948,391,379,078,241,731,023,537,564,067,420,154,805,326,309,544,709,160,
460,302,182,348,377,988,055,344,998,359,446,964,682,389,219,869,070,838,024,
494,409,981,832,817,680,378,804,817,741,595,463,533,184,131,709,519,039,449,
477,568,036,356,725,757,197,771,780,456,921,824,914,814,786,235,361,691,518,
852,019,538,723,949,092,534,304,018,764,776,524,349,954,758,406,422,044,161,
752,102,820,870,462,010,976,691,196,827,362,073,189,288,404,388,715,356,301,
452,957,818,306,302,031,095,208,522,841,167,361,630,951,103,542,426,644,655,
240,217,656,938,914,695,020,936,266,894,878,017,850,553,883,005,057,387,111,
734,594,224,257,250,333,675,111,879,809,481,152,682,355,906,431,990,202,809,
393,833,031,142,754,020,509,225,051,062,234,012,647,160,491,633,381,137,250,
774,667,159,149,721,692,763,503,581,093,500,817,844,774,137,354,129,161,368,
898,616,179,206,989,024,474,794,672,926,642,527,750,179,272,756,261,257,397,
658,009,388,864,138,071,639,200,532,409,776,080,298,512,926,249,349,303,021,
984,320,108,180,556,241,207,078,390,707,468,122,633,011,206,517,319,023,974,
703,322,596,340,013,527,066,646,575,983,941,286,987,328,351,907,137,922,813,
422,781,510,757,455,678,486,439,305,681,141,271,133,482,490,896,225,090,641,
392,684,712,355,041,826,744,697,740,176,186,281,598,074,234,835,430,860,283,
299,901,225,558,768,124,406,443,340,669,490,266,788,205,969,653,420,273,762,
088,536,379,782,924,225,813,027,672,465,341,658,857,165,684,042,143,655,048,
042,895,099,401,871,562,999,692,841,532,652,350,549,794,433,964,676,504,833,
448,609,787,318,963,754,253,171,987,060,621,281,365,780,943,957,075,042,162,
833,130,809,566,321,457,602,685,684,592,749,057,050,180,165,006,728,212,135,
888,676,310,419,163,333,097,350,030,136,449,007,898,001,576,566,292,147,893,
542,095,781,760,440,312,068,136,468,925,860,592,968,104,038,875,191,375,074,
465,076,080,591,812,800,596,687,957,097,332,457,158,593,735,248,794,595,789,
242,889,944,971,288,530,552,268,212,281,625,103,724,035,117,126,217,976,685,
155,712,791,090,547,151,461,836,479,746,202,990,161,186,922,123,523,398,863,
012,021,972,991,842,799,328,113,840,622,757,551,927,572,977,591,908,724,186,
579,152,078,668,849,486,443,979,136,434,325,389,883,332,253,657,456,213,063,
175,039,720,583,418,459,468,821,508,069,262,441,565,835,119,547,935,601,632,
754,552,031,831,917,034,690,853,576,767,812,690,043,495,959,474,020,100,390,
353,793,790,524,527,896,584,551,961,899,518,696,572,209,047,899,504,706,938,
967,464,354,247,424,615,420,579,558,248,666,580,374,747,219,254,940,741,294,
383,162,682,930,477,580,597,889,519,759,365,427,357,672,995,507,144,511,090,
060,576,882,321,025,535,935,221,436,949,286,605,980,346,062,940,043,097,378,
196,666,524,366,893,343,059,443,380,193,634,425,486,816,029,623,341,851,388,
407,180,740,371,050,082,679,552,671,753,203,468,832,014,905,915,815,100,822,
634,277,399,274,005,431,914,937,162,046,109,000,099,329,024,298,513,265,864,
608,118,456,587,745,948,786,447,394,850,695,842,808,775,568,574,240,402,114,
574,789,262,305,688,930,389,095,277,055,350,803,872,394,421,182,972,264,856,
610,021,454,313,715,964,266,598,805,155,649,165,917,741,573,935,321,962,838,
276,828,317,527,353,271,606,672,038,873,533,896,872,528,606,641,859,857,743,
280,503,989,241,012,533,510,707,374,411,418,702,346,293,824,095,066,629,363,
637,807,269,346,598,649,414,148,762,956,801,181,643,972,571,954,730,904,864,
230,240,058,161,962,679,736,956,056,372,959,181,660,325,947,146,982,307,591,
407,313,527,935,465,815,887,437,390,612,467,894,921,157,372,626,624,123,998,
912,252,581,375,968,654,899,867,227,872,438,666,259,202,628,163,270,179,182,
751,866,982,301,760,992,018,452,716,105,421,262,288,152,706,288,238,356,397,
918,511,116,346,778,961,892,047,089,977,936,347,603,558,855,007,237,393,242,
133,497,905,311,028,562,190,669,102,352,578,035,560,677,724,093,851,571,992,
925,115,631,409,605,085,253,980,336,486,084,503,674,946,016,493,154,707,287,
887,271,343,473,464,788,264,091,913,107,511,862,827,700,783,782,353,811,357,
614,089,436,826,776,313,660,949,569,746,903,194,619,162,184,389,079,634,620,
351,703,369,605,782,404,065,864,647,535,028,545,493,476,297,390,594,459,776,
330,906,248,147,835,798,136,531,378,998,887,659,364,222,216,659,920,281,358,
474,469,684,359,102,627,718,808,171,372,645,628,549,536,950,402,327,149,240,
056,921,936,125,033,921,731,198,301,010,298,126,282,092,126,935,067,872,346,
295,762,660,198,765,691,966,915,013,160,897,543,617,653,795,688,877,963,594,
774,350,124,989,603,484,377,416,969,299,955,242,530,747,408,319,342,944,110,
655,151,052,338,791,994,995,360,479,630,515,520,795,040,856,736,573,271,300,
217,874,378,284,493,291,037,706,213,800,151,191,009,352,745,051,139,766,709,
043,157,569,081,880,099,505,376,658,979,899,241,860,492,270,080,338,179,320,
677,946,966,366,599,844,844,238,851,589,195,033,216,818,071,322,565,059,416,
246,304,339,124,094,241,030,583,463,295,028,510,024,585,385,442,718,874,877,
480,711,585,254,366,792,655,969,814,231,258,493,498,168,335,927,745,003,980,
718,580,861,798,454,365,107,255,213,105,259,520,918,386,965,525,289,724,545,
967,852,232,804,836,280,801,894,318,679,557,910,737,227,684,424,861,941,080,
173,443,474,688,963,408,031,563,778,065,474,640,270,961,464,154,091,701,161,
109,602,923,231,099,621,409,958,918,488,175,494,842,413,053,015,320,953,482,
751,332,359,954,692,345,519,415,364,419,182,794,170,088,711,886,129,136,380,
488,201,601,174,864,146,390,351,649,300,965,234,444,726,221,389,015,288,256,
177,609,719,616,494,937,365,443,283,904,972,003,490,297,697,537,235,993,321,
597,829,131,453,645,852,080,060,545,791,589,205,715,832,642,955,819,125,955,
286,731,008,118,909,062,183,550,315,811,035,145,176,978,595,387,861,999,676,
371,966,402,513,894,670,147,510,117,725,124,655,730,424,303,866,677,274,360,
300,302,595,914,157,322,882,913,262,665,512,063,412,409,319,708,702,947,102,
592,554,759,350,809,611,075,295,217,449,099,547,483,482,183,180,534,961,657,
718,605,441,026,364,040,548,839,274,690,388,895,405,772,335,690,877,652,434,
506,165,394,165,801,969,556,340,375,969,750,005,302,323,359,328,095,082,473,
639,208,915,356,554,687,070,952,378,682,262,203,860,583,971,348,146,992,795,
764,412,907,093,531,471,593,955,308,042,048,920,416,743,710,092,418,259,070,
854,738,434,819,015,195,616,415,918,006,191,434,838,865,498,936,671,544,986,
139,307,451,660,733,814,653,207,034,806,735,964,280,198,584,961,671,040,866,
396,286,683,898,998,558,406,842,629,018,641,988,149,491,939,984,491,951,787,
219,986,321,322,745,606,388,022,114,323,559,147,604,704,678,100,039,090,099,
498,643,974,825,137,522,863,372,017,244,483,842,024,660,666,400,279,503,714,
282,483,615,492,521,829,020,481,482,492,054,629,717,939,006,715,354,276,561,
146,755,466,893,099,698,597,543,596,584,424,236,039,395,002,430,875,390,125,
960,449,140,565,087,394,381,352,992,658,758,603,768,019,713,697,732,629,106,
042,346,868,399,272,966,032,133,071,137,882,821,686,989,566,149,131,404,024,
270,850,505,963,585,309,995,317,502,537,326,481,611,009,291,165,267,881,984,
204,067,512,594,641,731,760,618,923,131,561,306,578,594,660,162,286,761,657,
592,532,364,163,591,187,837,741,870,575,174,202,274,032,771,196,059,065,586,
314,173,817,546,693,402,316,830,877,904,393,907,693,310,309,172,875,933,980,
736,963,010,612,002,548,073,882,303,194,019,398,709,320,294,677,388,358,869,
654,333,633,558,890,938,940,583,876,875,584,997,157,060,298,482,331,730,794,
887,827,342,531,656,842,355,625,696,082,443,245,443,540,671,418,507,719,391,
452,683,229,899,882,934,447,881,923,182,836,522,874,376,407,110,300,019,868,
527,792,599,562,482,979,729,698,612,218,702,406,407,819,283,601,884,881,495,
970,979,807,349,649,938,004,576,001,175,808,441,491,638,845,697,285,338,590,
614,896,287,107,665,304,889,551,661,901,466,226,776,149,047,559,468,963,798,
604,657,321,997,748,512,972,843,855,609,476,460,566,724,128,786,068,451,249,
189,887,626,436,715,158,861,535,347,131,807,598,177,079,325,982,469,657,752,
425,657,719,337,440,926,052,245,468,836,462,241,924,975,186,805,029,854,071,
578,296,275,239,501,351,223,889,809,896,692,141,614,226,776,217,517,180,926,
582,838,993,913,652,213,186,264,883,924,859,837,313,518,619,176,988,917,433,
720,791,171,808,887,664,013,845,584,863,888,020,912,210,903,041,479,613,484,
085,638,636,056,842,694,876,476,189,020,003,948,679,009,222,710,886,774,844,
596,750,654,189,960,559,280,268,911,814,400,114,636,767,575,186,182,821,901,
713,464,996,632,896,006,783,768,437,396,149,309,323,767,338,818,202,455,625,
199,506,840,604,506,495,351,866,118,507,639,738,377,269,807,703,610,037,473,
438,430,917,881,211,432,671,124,259,079,230,077,537,669,617,921,481,358,992,
200,467,446,352,783,707,553,396,484,499,226,649,844,604,506,970,454,019,277,
894,911,303,768,448,234,907,188,318,220,666,624,461,652,290,884,678,603,119,
376,994,551,783,112,681,274,651,631,719,790,320,785,024,148,581,122,075,149,
549,800,988,679,528,796,604,838,096,682,427,791,376,755,730,540,008,729,183,
451,745,207,633,538,319,496,730,817,796,756,212,104,219,955,093,022,391,893,
537,804,272,418,997,064,919,081,809,408,200,375,252,657,489,982,414,047,321,
157,746,300,977,207,308,182,528,491,613,186,766,090,893,424,517,925,262,377,
308,777,193,820,626,509,538,831,681,538,252,066,539,388,490,589,380,465,250,
280,260,698,226,164,819,728,793,697,823,597,525,673,780,526,157,755,006,238,
741,605,606,303,991,135,412,266,340,364,642,827,069,525,032,056,819,954,461,
261,836,712,476,932,054,967,539,219,747,002,247,278,590,498,381,951,405,900,
794,586,092,566,919,144,013,050,050,085,358,241,076,610,173,617,593,835,419,
733,964,442,173,624,812,691,334,705,630,764,258,461,125,290,192,809,521,526,
477,467,164,845,860,961,389,932,503,406,190,062,604,149,245,552,220,054,038,
401,214,782,287,839,656,035,392,874,495,790,165,592,464,035,711,502,251,246,
040,466,465,387,710,171,142,350,699,239,890,391,204,430,344,613,680,054,826,
390,007,540,849,339,391,948,561,900,352,005,887,460,380,824,649,593,263,452,
241,583,175,072,122,182,316,066,960,278,334,696,527,713,027,193,131,529,709,
880,366,890,280,871,781,387,633,995,080,272,494,647,268,376,864,081,661,603,
769,767,236,587,030,888,110,686,811,460,903,557,044,090,556,600,357,025,327,
274,810,757,885,692,061,952,046,828,328,928,895,757,445,029,728,655,663,823,
196,443,679,119,317,827,327,624,972,813,917,156,204,957,365,754,118,948,817,
611,220,869,264,692,561,699,092,312,842,814,421,608,937,880,042,123,525,718,
688,724,837,463,968,594,542,365,248,144,434,333,602,319,817,810,432,497,061,
601,682,119,264,739,855,934,342,053,179,498,820,433,718,753,577,760,494,754,
055,425,174,974,636,293,290,936,679,637,362,758,248,582,518,292,278,846,796,
609,266,001,338,826,071,904,984,957,611,289,456,629,348,213,124,685,979,542,
139,731,298,893,257,992,121,595,804,704,816,356,090,665,371,918,090,111,913,
732,110,044,615,532,251,109,915,616,106,332,507,021,278,311,266,596,064,876,
255,043,510,499,007,695,025,246,316,017,598,328,828,713,979,584,246,363,662,
384,443,584,517,892,194,941,225,302,850,326,596,938,601,304,963,412,423,088,
026,796,264,493,229,435,210,359,971,765,134,095,655,369,086,756,318,468,766,
853,352,159,575,780,030,425,313,891,421,119,468,512,874,045,504,732,543,468,
277,876,568,093,845,839,897,062,219,194,736,182,445,074,804,606,875,039,455,
070,106,640,309,320,359,497,241,709,760,791,320,433,098,050,271,663,184,985,
226,333,186,652,042,652,844,435,328,328,940,894,955,311,002,257,840,599,141,
614,228,337,491,909,538,400,236,509,473,974,834,593,047,486,923,759,246,400,
781,755,586,424,137,527,538,393,884,153,578,663,533,038,746,189,396,176,595,
090,408,321,351,923,233,345,944,411,731,870,763,636,980,805,276,300,546,180,
606,512,114,409,646,964,573,516,699,974,162,507,139,949,724,556,292,406,295,
474,450,463,246,949,832,744,069,050,679,555,294,442,439,066,591,966,706,292,
502,606,092,772,040,632,530,857,000,791,189,413,669,286,642,883,660,600,945,
395,875,553,117,772,272,773,583,244,257,453,309,455,713,975,033,424,093,743,
918,272,625,162,262,227,207,875,592,173,782,967,905,080,426,973,782,037,217,
297,456,006,528,405,303,151,269,779,050,159,033,464,828,906,342,659,268,017,
540,511,300,933,607,298,934,864,568,314,158,717,997,671,004,993,572,627,452,
832,776,920,442,764,955,591,330,946,552,506,991,745,614,740,382,567,677,997,
221,310,392,873,013,359,168,978,138,273,479,669,372,249,662,240,912,495,895,
942,236,024,420,984,265,916,642,053,011,000,114,228,090,439,409,623,959,442,
607,363,289,135,076,456,933,909,804,261,655,300,442,268,666,514,220,384,432,
987,604,193,489,109,365,483,863,879,423,133,818,988,144,849,033,587,566,072,
888,031,694,955,392,536,399,126,021,792,607,532,727,326,210,888,297,452,812,
342,973,350,815,479,755,454,978,662,485,176,116,222,532,314,495,974,685,782,
648,503,800,569,613,382,803,966,707,714,126,545,049,137,137,737,933,537,931,
271,497,084,369,882,750,742,987,465,192,859,336,221,529,264,987,556,679,792,
256,333,902,440,299,733,927,154,260,289,841,098,196,276,960,966,267,822,441,
407,056,337,792,876,458,981,615,061,298,978,408,957,852,309,833,528,612,238,
724,063,168,153,660,298,492,619,197,533,126,789,098,064,227,873,540,982,709,
690,207,084,011,914,933,798,539,221,757,735,213,931,593,964,706,760,464,381,
151,728,009,577,411,758,930,306,099,127,888,567,034,707,679,298,633,634,986,
434,709,205,327,365,335,745,501,553,534,882,638,074,210,640,083,494,078,248,
787,162,081,781,278,407,235,024,584,425,061,212,292,795,942,484,508,045,700,
771,513,237,944,659,169,239,184,975,414,087,397,383,992,246,761,611,674,987,
927,389,900,941,531,607,302,241,357,944,619,842,107,218,424,266,923,243,355,
762,546,354,021,813,262,253,015,711,128,407,058,834,587,612,453,412,636,688,
590,720,827,560,372,492,256,925,667,586,306,196,107,291,060,143,596,451,441,
980,560,587,748,867,485,150,373,842,838,278,064,034,927,262,809,591,096,265,
691,980,764,897,680,969,671,931,100,849,595,703,330,833,649,078,812,663,225,
336,598,745,529,905,362,901,553,926,928,166,980,030,365,767,704,783,752,478,
773,216,280,753,387,805,010,254,800,432,421,771,449,057,937,915,743,659,792,
934,978,434,972,513,501,791,531,432,294,891,019,666,559,093,877,226,306,637,
579,361,881,237,069,574,426,881,421,993,925,400,984,633,377,608,311,836,825,
138,171,673,287,189,495,064,538,110,779,987,249,136,369,577,806,769,932,388,
166,124,226,272,566,873,383,831,154,792,022,692,166,522,912,721,796,223,443,
716,452,662,280,018,055,801,411,092,906,715,159,978,957,987,241,332,396,334,
670,873,579,740,084,423,827,276,026,888,791,966,587,237,957,838,743,073,476,
559,136,662,522,750,380,958,119,137,830,120,395,985,371,664,413,736,950,264,
992,753,035,841,099,359,943,621,882,622,862,090,305,758,920,240,533,354,782,
488,670,720,358,256,396,395,551,739,374,936,649,329,270,743,248,604,614,977,
678,015,091,324,167,594,499,693,697,564,716,172,579,869,444,762,226,565,770,
350,502,547,491,266,118,274,756,313,209,302,590,706,340,455,316,580,773,187,
195,966,568,875,075,737,785,288,197,179,935,881,333,811,412,914,131,370,215,
800,511,221,322,285,446,245,744,863,513,701,605,098,426,030,561,820,844,411,
265,742,884,121,130,204,608,432,602,744,089,105,414,815,730,412,048,554,230,
250,559,683,560,813,758,535,279,079,633,886,361,763,056,672,432,257,548,047,
349,738,017,554,764,710,637,915,644,042,041,676,325,676,099,427,693,266,786,
498,880,847,655,376,107,881,847,197,993,007,852,148,726,320,796,361,566,471,
035,139,536,495,664,427,219,781,658,447,034,994,240,282,948,064,313,668,986,
836,491,729,088,364,063,406,670,065,213,537,066,902,551,546,294,437,130,739,
508,025,867,900,412,641,745,880,177,232,612,140,309,586,574,309,842,045,463,
147,950,485,022,728,462,926,311,999,028,971,018,239,527,208,464,601,341,048,
512,376,473,286,035,299,290,994,251,697,789,758,716,612,646,437,609,714,679,
372,312,776,340,817,113,344,552,994,921,781,250,977,137,769,636,779,817,669,
064,390,448,880,701,854,319,118,998,535,959,198,733,817,960,432,086,516,213,
242,373,929,552,972,667,080,939,396,777,348,120,458,432,645,309,559,899,307,
238,826,045,978,062,174,181,945,421,559,085,549,471,302,196,866,671,423,761,
774,618,346,057,150,506,700,763,622,193,912,431,306,912,428,299,899,011,448,
915,947,034,993,127,258,857,497,884,218,582,659,355,197,260,308,809,899,362,
989,837,263,089,109,808,185,555,095,208,128,603,239,985,611,925,914,818,033,
676,839,633,674,801,401,728,726,258,482,555,567,340,689,548,061,229,449,157,
785,992,486,317,284,194,693,153,068,637,646,091,270,479,219,763,828,034,283,
601,374,310,422,959,575,209,640,108,775,718,326,297,877,015,444,627,922,636,
253,696,258,964,714,175,012,436,020,676,354,174,903,104,157,394,943,453,756,
603,400,899,437,731,596,503,415,996,518,507,076,802,890,722,985,817,352,967,
224,348,877,635,210,681,018,284,462,674,945,822,252,282,137,339,893,676,118,
490,467,430,047,948,340,704,596,884,981,233,703,466,906,110,044,819,749,009,
131,395,655,971,847,107,992,863,517,654,395,118,184,411,547,382,221,969,660,
868,594,496,087,740,353,814,431,526,011,908,042,908,176,070,310,469,365,448,
040,560,210,828,104,737,823,928,645,502,584,137,646,346,497,820,719,537,778,
700,157,118,566,071,379,283,203,791,211,336,582,695,599,544,685,246,548,197,
035,727,354,513,794,474,542,174,676,848,936,047,639,488,251,869,300,513,524,
731,275,556,711,625,631,139,172,898,939,393,282,943,381,902,379,059,698,514,
267,122,422,673,843,132,042,851,192,018,860,616,216,732,547,987,788,716,422,
612,903,919,027,705,117,614,025,361,670,908,904,053,304,606,747,420,657,983,
239,960,171,998,423,091,480,538,523,028,566,347,532,185,481,589,650,764,772,
424,224,663,054,977,153,380,483,621,959,173,982,199,578,981,705,709,104,742,
475,940,505,557,212,483,095,563,003,413,523,583,958,821,663,293,571,450,097,
744,474,954,340,478,778,440,561,677,625,421,719,982,509,689,693,692,368,551,
674,684,537,405,166,481,367,262,959,705,226,899,224,221,291,738,912,299,444,
792,681,227,974,049,402,442,448,931,148,709,596,589,171,125,657,467,391,105,
784,386,049,687,064,924,136,973,904,498,837,575,693,210,387,158,207,185,914,
770,360,580,253,433,122,459,616,353,834,812,337,213,233,324,911,457,289,576,
599,000,401,578,150,771,259,748,707,594,544,195,489,396,688,876,061,249,850,
179,302,208,279,549,960,185,984,173,779,983,469,165,209,561,614,077,638,440,
701,873,145,124,798,227,480,330,485,783,761,394,427,138,787,135,378,156,525,
144,858,956,869,671,457,049,695,374,355,962,716,681,439,823,442,096,964,346,
269,563,832,548,981,626,948,752,848,297,197,192,733,891,870,769,900,855,018,
801,105,768,177,484,582,571,068,278,962,352,546,564,967,595,047,123,879,360,
833,216,067,069,206,663,524,282,340,299,748,604,828,261,210,555,524,250,152,
570,210,862,021,581,023,359,557,461,269,590,004,543,363,884,162,009,035,978,
924,123,443,429,995,404,013,053,019,897,140,948,608,988,144,640,864,238,636,
173,379,230,890,167,868,700,198,182,156,249,946,645,804,425,488,240,984,626,
315,307,163,136,584,082,988,519,684,806,383,494,884,042,010,002,515,237,865,
666,756,423,777,223,365,244,831,326,298,304,006,576,737,379,722,750,357,843,
010,815,135,164,668,321,494,023,207,365,738,800,864,422,697,673,558,153,720,
761,389,825,131,306,148,378,389,814,861,278,259,387,232,191,341,429,792,056,
918,939,904,848,522,624,814,512,793,984,808,207,301,679,103,718,141,944,277,
640,830,857,218,567,283,008,235,963,996,023,427,504,067,907,589,125,636,031,
616,749,471,434,013,732,378,114,914,022,482,388,560,519,176,887,407,477,827,
836,756,685,169,128,706,371,927,149,386,446,044,365,917,520,526,879,825,510,
121,087,934,182,725,250,937,903,236,311,926,393,125,223,508,078,690,261,177,
128,974,261,409,057,303,454,657,705,327,621,528,612,672,778,643,903,026,383,
582,467,470,050,034,510,805,578,638,982,179,382,097,830,523,839,496,036,164,
939,824,292,793,497,084,205,445,483,838,212,405,625,689,783,180,313,881,179,
326,679,831,442,297,395,595,750,285,771,937,377,905,456,459,052,632,307,632,
946,387,464,937,811,993,466,690,803,355,362,713,071,548,670,081,772,512,685,
614,603,379,933,511,767,635,915,770,789,958,407,229,568,396,562,015,117,349,
409,015,027,393,739,405,749,363,204,671,161,423,089,418,773,640,029,911,257,
705,596,216,379,103,400,384,461,840,958,447,912,362,240,608,442,636,346,423,
626,452,239,073,844,305,013,522,523,133,355,634,663,807,133,622,791,162,603,
420,488,556,974,756,098,521,237,835,324,890,225,644,887,434,278,211,024,905,
203,087,455,812,766,962,571,039,765,629,783,167,011,530,583,660,953,946,503,
668,752,498,544,582,285,750,106,575,165,507,914,541,270,518,202,896,315,679,
764,475,159,225,459,912,439,748,799,531,798,874,239,991,938,487,660,519,905,
545,659,276,928,900,253,895,608,963,386,221,089,464,791,005,269,344,075,499,
857,925,515,361,546,148,126,036,072,732,682,674,001,527,937,275,110,254,798,
385,193,338,395,636,577,136,761,554,433,104,917,761,735,342,429,629,191,346,
894,689,270,497,190,761,998,382,624,489,732,165,009,771,936,176,069,321,912,
052,135,661,534,612,180,128,084,728,315,069,133,152,716,244,524,131,985,967,
423,297,397,896,111,865,293,897,633,218,193,670,010,445,912,023,368,218,205,
472,613,433,835,419,166,892,380,514,770,041,913,436,611,740,161,652,599,205,
817,667,657,521,025,638,417,010,016,908,046,385,740,651,028,463,493,178,007,
921,495,910,706,259,544,264,820,828,722,314,960,303,984,070,163,670,842,333,
973,436,212,954,808,038,373,958,347,608,721,451,329,371,403,976,550,969,824,
714,315,423,797,158,120,907,585,670,346,838,867,198,480,731,644,882,094,778,
144,706,297,849,665,161,764,294,138,464,853,840,753,703,567,156,677,741,542,
856,765,663,959,258,712,529,230,779,564,968,165,700,872,576,221,513,163,780,
874,955,435,881,638,375,660,851,313,013,436,485,883,086,263,669,917,841,856,
126,212,018,320,142,618,373,819,493,776,373,835,297,719,849,725,014,452,101,
608,765,984,197,479,458,822,619,682,009,594,459,854,645,974,444,766,802,995,
343,179,368,329,891,248,211,268,213,025,191,292,346,599,024,838,474,858,639,
849,222,100,200,234,875,453,475,502,878,740,087,147,905,255,816,211,822,065,
096,491,962,701,520,088,625,762,507,107,115,761,818,029,483,817,078,212,178,
083,864,992,293,907,213,390,472,344,307,371,261,759,409,740,413,303,843,150,
026,705,278,237,583,957,934,323,052,212,873,041,940,792,245,156,923,995,460,
997,887,847,536,946,252,208,178,243,077,782,770,717,549,560,571,836,053,098,
121,897,528,959,920,289,987,933,652,493,540,908,672,652,852,244,263,797,668,
124,677,185,955,474,956,345,479,614,191,961,717,560,077,604,630,955,135,841,
085,492,956,947,307,406,508,293,715,039,008,849,740,709,554,963,135,213,719,
318,451,849,364,248,671,761,316,032,667,731,434,418,490,617,035,863,927,460,
853,240,906,795,729,702,611,527,957,466,230,398,621,303,471,113,924,129,593,
059,319,426,851,696,178,791,483,791,620,449,711,626,007,759,910,238,351,074,
083,029,155,921,326,476,378,426,473,926,672,220,606,530,622,246,719,987,426,
538,511,800,024,907,597,790,459,801,562,894,811,738,169,746,345,625,249,670,
927,596,244,926,730,459,182,687,397,424,085,193,676,360,869,755,943,586,503,
928,109,181,073,928,458,790,987,683,276,694,744,202,542,076,827,308,144,519,
643,277,465,394,380,223,551,081,471,760,851,817,031,945,929,748,460,760,961,
820,200,495,561,425,757,364,476,423,553,876,374,544,612,203,253,662,407,333,
057,732,147,002,169,859,100,905,135,602,467,593,114,229,488,413,098,707,341,
587,023,671,011,374,076,378,111,478,296,504,222,864,670,644,020,630,544,198,
025,421,293,834,386,007,889,149,513,314,212,810,760,366,557,847,759,521,948,
869,835,828,262,400,081,409,410,742,125,398,800,914,871,564,138,121,584,890,
094,192,853,719,294,508,874,654,383,602,827,918,490,596,970,261,470,316,337,
709,436,042,140,895,164,857,758,997,862,465,658,777,725,820,304,967,874,846,
305,043,821,510,404,056,219,849,269,598,323,090,745,378,008,160,542,761,362,
676,413,144,891,898,446,840,433,170,772,907,939,954,862,045,563,622,454,227,
142,617,828,792,087,749,687,891,126,540,135,085,731,364,744,148,863,697,060,
831,482,221,616,800,082,829,187,030,293,125,826,949,166,806,125,035,096,987,
056,057,266,374,825,432,218,626,952,383,239,572,766,287,862,625,012,998,176,
480,920,647,729,641,526,006,806,213,937,956,208,455,832,802,231,603,590,753,
394,109,592,598,427,367,670,915,396,897,163,641,150,037,669,628,171,741,723,
935,384,282,714,774,859,347,179,557,496,060,380,823,355,954,770,309,891,013,
687,376,010,339,686,102,903,873,949,207,664,876,663,293,771,722,511,585,964,
402,277,629,092,798,790,097,637,334,627,226,945,193,393,729,549,221,343,157,
182,819,036,655,629,644,414,190,183,225,141,580,506,131,624,368,263,891,093,
542,059,036,998,137,971,494,793,738,884,976,964,456,461,103,705,184,087,012,
755,230,976,619,604,767,195,632,113,824,139,566,639,101,336,929,994,937,445,
618,971,447,538,475,006,054,411,900,259,281,485,011,803,579,296,654,528,385,
978,888,043,050,678,582,256,175,675,242,293,985,574,697,819,491,895,947,379,
983,033,636,778,808,325,850,442,553,816,142,627,797,341,679,421,634,306,804,
562,555,006,929,559,738,981,980,121,037,618,492,282,315,804,251,672,857,633,
312,346,966,803,436,841,725,302,596,043,119,124,795,825,332,478,627,704,427,
590,095,039,079,363,699,676,752,445,624,922,447,003,340,334,401,867,920,849,
202,925,217,994,112,960,310,532,793,205,536,643,377,152,106,992,285,467,355,
860,864,316,384,044,351,480,250,033,293,304,340,359,793,865,628,741,327,840,
340,140,193,845,202,328,750,674,535,297,832,365,731,649,893,937,754,595,623,
971,661,171,320,088,168,704,323,876,945,392,938,577,809,007,711,658,448,329,
631,855,751,650,856,359,918,323,201,415,887,014,524,032,209,897,492,269,151,
590,579,251,518,863,211,060,003,374,406,526,427,078,444,221,210,823,058,201,
471,145,008,206,914,463,363,991,828,815,150,805,732,078,728,400,124,360,452,
792,062,791,719,250,300,903,740,402,900,493,193,834,826,650,297,923,404,124,
641,126,732,684,995,922,831,442,959,417,141,954,537,621,341,563,327,198,578,
097,300,441,225,108,778,043,681,859,063,654,227,077,208,886,579,056,203,983,
636,922,586,750,317,670,924,220,959,713,275,783,369,412,893,282,250,556,324,
695,372,219,832,501,140,289,468,696,116,782,228,175,563,943,998,520,048,740,
522,739,419,673,081,416,284,449,925,469,415,801,808,125,001,600,143,958,991,
763,289,963,996,191,171,269,658,017,500,908,684,412,635,667,729,288,361,718,
876,653,090,365,488,457,961,927,213,970,543,191,688,097,506,501,073,219,390,
166,814,152,259,334,877,377,003,765,967,511,493,600,802,539,917,343,866,202,
543,648,376,314,570,489,198,721,213,654,926,811,704,102,933,884,652,749,922,
882,863,877,822,510,166,340,430,299,141,830,250,364,248,341,162,974,569,778,
373,820,945,596,491,656,759,563,232,946,106,935,378,127,424,305,786,559,768,
633,807,487,864,037,319,755,709,279,358,322,684,090,993,168,328,224,077,836,
240,301,569,538,514,818,857,756,116,172,245,899,759,386,804,989,371,794,214,
751,981,328,499,322,901,821,937,489,311,662,564,346,596,587,386,095,272,722,
056,095,307,663,479,762,150,104,225,351,568,591,950,072,175,203,219,709,301,
570,787,337,674,930,768,452,822,341,725,876,847,894,977,726,124,571,250,572,
443,428,873,047,399,163,855,117,131,604,816,063,764,393,763,233,195,601,417,
833,830,991,144,569,617,903,866,896,191,103,978,623,907,203,182,673,903,011,
206,460,010,545,692,575,747,364,393,215,870,676,864,073,361,717,206,670,834,
262,768,800,227,408,117,271,581,921,319,698,354,051,789,196,133,239,590,325,
136,539,495,255,454,565,192,679,401,539,330,972,491,936,526,546,970,586,702,
571,937,798,814,192,358,618,864,309,470,636,125,241,278,714,911,623,631,271,
934,964,599,786,860,607,424,615,086,246,523,859,904,635,968,497,428,691,131,
021,176,375,876,624,131,276,566,378,433,733,593,798,164,205,270,530,965,319,
103,249,437,150,636,153,840,357,035,838,684,618,507,037,988,685,959,745,432,
616,986,811,558,725,919,891,244,314,157,463,577,684,797,346,184,037,997,187,
028,869,365,770,996,374,199,215,487,923,741,933,450,560,650,802,225,022,981,
394,394,424,037,940,924,198,066,326,401,270,339,183,928,692,999,774,207,264,
661,795,143,515,575,674,885,406,508,848,825,242,581,345,726,526,083,796,514,
513,550,931,500,296,037,511,949,958,674,373,257,037,973,380,777,886,934,810,
673,313,334,812,758,011,694,632,760,106,063,915,584,571,371,737,434,441,146,
243,018,902,563,436,066,916,429,330,665,843,690,678,844,846,040,249,356,157,
276,005,633,569,639,757,451,491,597,397,287,244,809,428,819,029,391,362,150,
220,526,145,505,036,139,724,826,933,415,185,637,164,981,102,935,283,006,221,
501,098,674,786,572,368,320,546,370,591,610,865,440,190,035,835,916,366,979,
767,474,640,098,163,897,220,488,185,871,582,614,255,851,224,667,663,136,062,
833,402,355,007,231,305,978,606,600,464,593,016,427,135,335,851,834,232,898,
436,853,638,098,776,524,981,115,073,117,807,246,609,129,856,772,338,873,476,
777,259,604,627,573,966,875,260,500,849,269,628,315,764,922,159,347,814,088,
306,525,954,229,055,040,035,620,088,933,400,088,834,831,539,499,242,564,367,
029,234,711,703,480,687,843,411,898,210,014,586,340,457,464,072,328,897,349,
833,112,658,458,023,831,338,918,804,571,453,822,833,465,726,504,698,166,935,
939,972,915,392,388,161,679,555,859,246,675,649,449,167,126,473,374,548,124,
807,373,238,470,895,855,468,626,396,883,623,668,819,452,821,898,254,137,522,
324,422,234,437,810,030,321,860,996,696,933,097,841,240,850,729,515,701,397,
173,033,568,137,692,086,877,789,644,300,677,210,273,821,062,948,521,088,551,
750,321,666,702,449,737,453,033,523,580,016,538,374,230,805,493,258,259,670,
589,463,465,391,723,706,873,421,307,900,387,196,718,123,647,271,116,583,570,
251,699,070,350,276,353,988,325,814,843,037,734,524,571,370,282,614,745,584,
842,414,376,879,542,993,139,868,379,170,670,224,377,677,534,701,162,758,705,
817,492,476,778,085,373,679,948,824,479,183,658,368,932,128,324,909,692,511,
533,095,444,642,344,822,540,748,258,481,291,282,442,333,025,803,247,016,941,
661,648,723,277,176,222,428,054,267,598,886,230,177,433,278,881,994,452,594,
136,744,495,708,479,095,252,992,065,132,743,209,037,016,849,175,346,134,997,
309,191,641,513,771,159,871,771,300,147,827,140,288,717,980,271,158,071,577,
332,478,428,085,005,254,730,353,101,689,110,867,703,635,380,468,728,807,107,
725,805,315,612,183,342,026,364,414,053,228,527,063,044,734,050,508,163,249,
567,459,271,922,896,575,951,789,730,187,388,055,574,953,270,453,583,307,575,
628,617,985,553,768,689,842,042,151,870,580,165,940,870,477,242,812,278,098,
438,437,924,776,737,384,823,708,820,157,157,842,317,946,234,908,183,492,414,
662,554,224,421,400,505,435,105,236,636,952,562,100,937,062,293,778,832,775,
135,583,781,584,041,569,497,572,351,000,433,316,503,798,729,406,414,190,295,
083,064,952,707,712,030,854,792,256,105,532,608,359,266,863,555,868,163,427,
516,566,502,043,931,038,055,304,256,505,312,965,872,786,185,738,178,949,958,
416,371,678,868,140,719,340,717,919,445,103,689,210,115,684,724,478,806,606,
128,147,251,087,975,483,961,860,591,957,606,683,704,136,136,619,021,116,100,
015,141,381,034,534,938,564,097,183,319,750,771,452,040,949,706,515,099,183,
815,864,669,319,255,617,377,826,610,198,985,350,759,717,838,691,653,245,826,
901,031,616,103,899,590,370,762,482,682,238,421,107,120,368,660,885,150,804,
468,047,223,409,546,230,762,751,670,272,757,399,617,368,195,411,150,254,655,
494,418,646,615,453,080,257,623,153,021,442,648,800,464,936,863,154,094,635,
014,547,434,097,097,165,508,570,257,955,745,272,551,726,236,502,075,511,596,
786,091,318,536,133,403,316,225,446,871,781,451,951,116,231,943,802,231,837,
694,579,970,703,194,629,785,805,369,324,045,366,859,456,994,335,124,863,819,
989,962,066,879,601,247,760,205,940,976,714,201,419,621,149,236,048,427,986,
006,453,855,996,984,624,854,236,600,448,635,458,259,231,845,794,154,032,781,
592,807,097,888,088,983,746,916,934,752,210,576,623,781,388,624,005,028,614,
917,837,774,960,176,087,272,242,938,932,202,335,151,622,684,908,929,716,401,
019,251,324,708,281,826,402,924,186,629,571,185,769,081,852,125,668,022,567,
403,146,237,363,143,570,364,991,127,032,235,925,207,134,863,936,179,691,071,
028,397,390,585,131,890,267,008,821,140,748,882,409,558,732,733,543,023,450,
026,555,230,534,429,790,252,704,361,448,639,116,407,028,201,758,043,314,261,
116,457,814,290,482,728,312,523,529,274,825,004,977,700,850,367,083,126,270,
818,617,437,555,193,476,827,237,129,891,945,405,458,592,907,751,634,709,601,
065,803,785,164,441,499,686,743,558,205,765,165,651,712,167,933,894,374,547,
806,425,509,938,223,271,017,351,917,553,819,997,221,016,547,093,380,004,838,
875,595,361,175,292,483,272,483,035,380,243,016,646,424,992,509,137,033,821,
428,732,116,309,202,272,068,580,755,821,740,808,006,041,045,470,656,868,079,
152,772,207,368,377,681,842,473,643,538,547,637,285,029,890,855,998,981,559,
567,210,444,631,870,089,039,522,738,317,794,312,141,788,174,100,601,393,285,
968,991,670,044,178,573,979,259,453,784,327,722,067,460,767,119,450,434,744,
546,101,683,573,424,261,555,206,665,242,355,495,161,452,433,512,665,053,010,
104,524,406,331,609,945,910,151,566,216,285,619,577,953,593,919,112,918,296,
981,887,835,329,682,727,980,261,177,183,024,140,006,837,074,117,815,612,467,
988,165,743,470,262,704,140,609,358,177,094,141,686,100,077,140,253,871,362,
673,943,059,209,752,252,629,489,600,185,463,647,890,365,945,036,429,542,207,
189,392,055,616,573,502,297,688,346,896,542,795,865,738,117,671,582,641,959,
889,882,094,610,919,924,328,536,931,196,742,328,000,230,882,343,546,634,059,
299,989,356,285,732,936,549,002,594,339,382,214,783,889,518,591,613,314,019,
662,840,712,110,619,694,599,864,223,314,352,811,030,211,961,501,617,659,367,
396,823,667,925,797,845,649,503,021,223,900,917,175,907,113,819,801,359,566,
379,425,841,124,665,564,671,332,261,554,078,316,565,677,033,044,114,138,645,
335,047,812,698,555,389,078,520,204,419,418,923,822,729,731,368,763,315,744,
814,494,681,445,747,092,495,343,362,320,608,604,186,794,663,734,619,150,749,
640,948,697,236,637,439,138,347,032,982,378,098,132,135,439,267,632,245,091,
759,508,499,309,435,051,730,577,882,397,096,732,484,253,119,675,510,552,262,
378,888,438,086,218,647,577,307,456,311,646,267,139,986,471,671,524,014,308,
912,119,982,990,542,133,025,241,325,067,341,161,853,125,286,828,761,553,221,
896,531,029,344,636,815,439,943,293,519,488,872,928,551,408,319,156,622,340,
148,083,899,989,689,670,422,711,231,951,298,410,762,556,460,994,119,227,650,
984,303,279,878,227,043,558,673,267,828,302,034,692,063,809,515,768,259,182,
212,169,902,967,683,285,948,766,429,756,757,916,167,760,235,762,795,826,516,
624,844,552,487,549,857,674,211,725,938,477,600,275,850,633,846,428,075,420,
060,963,606,022,621,220,382,170,855,502,778,579,277,652,520,107,919,317,847,
883,734,090,781,423,393,497,714,764,189,052,268,648,694,182,090,142,398,254,
256,277,235,838,155,981,567,680,736,374,521,211,308,008,342,002,144,263,301,
395,393,080,762,509,714,869,519,070,253,720,579,296,706,275,804,397,230,150,
718,817,538,179,779,607,625,496,563,817,324,391,386,541,266,949,097,178,293,
815,011,603,342,104,025,640,273,210,968,240,205,335,494,442,130,944,298,565,
147,091,179,012,270,023,351,953,734,189,364,831,079,459,809,069,453,984,776,
112,060,618,432,505,193,874,068,841,585,487,676,543,768,543,126,391,437,242,
851,885,958,845,233,783,186,864,058,584,797,796,781,151,624,546,258,123,141,
470,839,094,011,780,338,830,633,810,948,340,000,654,879,519,520,223,077,208,
054,295,009,757,190,268,337,030,401,751,426,510,106,797,097,906,219,018,596,
577,693,245,543,613,298,546,921,360,298,425,037,670,941,915,711,945,300,926,
479,574,278,562,972,679,498,847,095,225,055,745,427,012,503,694,624,298,340,
488,826,456,356,035,707,391,571,778,067,898,932,749,989,028,098,115,232,450,
920,642,025,127,408,326,130,676,563,714,189,922,713,093,931,731,638,156,584,
387,738,742,081,619,932,631,892,668,388,204,800,871,367,357,608,205,836,001,
019,800,027,012,935,129,207,660,931,598,930,676,741,026,636,886,528,050,046,
785,936,930,427,459,344,007,981,816,118,499,354,688,856,037,544,926,349,633,
144,693,021,060,326,133,228,735,514,510,170,791,506,354,649,208,443,079,943,
711,434,318,776,145,864,074,149,068,506,107,129,664,740,898,798,132,993,594,
091,406,031,419,228,473,071,965,880,647,193,375,001,094,123,652,026,720,334,
057,332,747,311,783,028,503,737,404,202,186,795,524,239,336,926,947,016,298,
042,270,042,995,174,260,823,671,146,734,169,980,635,114,314,210,757,483,312,
893,433,205,147,930,268,838,654,000,516,975,006,003,663,125,513,570,004,911,
030,442,694,098,645,561,751,180,644,356,990,557,441,181,375,218,231,898,587,
602,290,434,805,436,668,038,629,445,793,123,478,759,977,647,013,419,182,865,
208,668,388,575,231,894,053,388,346,955,435,009,962,283,804,589,126,118,615,
220,336,082,495,019,485,185,893,252,958,099,423,835,644,632,591,615,069,569,
320,204,135,812,281,506,047,344,265,773,457,027,781,677,174,289,222,152,886,
101,168,593,241,702,765,071,102,430,748,978,617,457,990,208,729,426,110,274,
706,499,659,776,586,432,780,327,005,426,345,723,983,812,870,868,175,497,943,
983,086,366,310,999,269,832,737,515,512,252,080,667,962,188,767,333,851,127,
879,145,532,089,685,137,331,482,285,337,829,708,011,456,544,119,417,613,705,
245,153,474,291,823,609,064,003,457,063,393,005,881,086,368,756,682,157,873,
108,497,145,626,679,122,581,004,636,262,418,752,064,860,790,795,621,969,353,
276,144,828,473,380,599,338,219,280,696,106,424,973,666,357,675,933,419,398,
065,500,269,755,957,985,159,248,194,189,483,544,898,782,027,031,232,976,796,
370,590,943,878,974,766,198,770,948,800,084,267,531,316,253,300,617,480,183,
228,170,885,543,732,486,355,024,465,605,428,328,327,945,213,305,095,586,485,
428,795,241,894,618,677,065,908,488,122,552,134,134,207,802,861,048,895,504,
332,738,946,235,483,888,517,169,116,439,385,892,110,826,738,120,875,201,690,
483,526,842,595,603,842,137,529,573,475,223,555,043,738,879,234,673,847,628,
389,739,375,684,026,425,948,866,101,739,343,495,185,473,691,369,633,032,958,
737,518,730,814,209,287,471,453,165,126,571,270,610,662,532,278,988,093,404,
541,652,184,657,338,641,660,207,599,528,367,125,758,434,724,198,931,649,745,
512,822,551,785,492,072,201,081,478,445,456,382,443,792,003,133,750,419,948,
682,436,881,611,865,689,006,580,322,408,969,556,635,923,377,885,365,395,920,
563,833,699,185,107,483,579,378,924,240,841,637,070,206,793,651,250,650,351,
882,544,295,204,894,571,011,196,400,196,898,409,550,953,821,205,102,363,154,
676,683,102,225,319,619,085,580,406,990,094,093,617,050,341,654,954,098,064,
744,629,440,414,062,311,350,763,091,246,067,766,668,527,116,889,322,925,572,
320,338,597,978,436,976,014,813,284,490,128,318,388,603,808,802,741,908,602,
749,265,842,912,863,025,217,930,385,365,177,220,444,378,837,717,550,121,974,
806,548,769,956,046,809,890,938,124,451,430,825,806,655,864,794,910,184,717,
738,617,998,158,538,470,738,685,966,930,782,952,591,711,493,910,453,873,852,
492,055,332,961,504,306,205,322,432,990,505,936,964,740,206,079,220,775,705,
968,965,439,311,517,053,031,818,756,729,027,415,521,219,307,619,353,066,169,
324,462,187,056,935,326,080,142,314,038,538,749,921,526,596,574,366,433,252,
456,497,801,802,308,939,360,415,345,634,892,888,753,123,351,391,791,709,539,
105,701,514,964,171,051,163,339,250,458,059,130,152,114,608,464,706,346,646,
400,625,038,650,322,353,814,206,668,879,934,241,350,846,112,451,580,637,968,
953,224,124,512,124,976,701,343,885,119,481,122,457,777,225,662,584,999,261,
083,362,620,187,532,430,763,348,493,420,761,250,553,238,773,171,857,943,777,
422,071,200,202,954,385,581,886,574,055,245,443,777,427,062,268,564,830,729,
758,003,759,748,060,670,001,739,293,757,633,309,030,890,940,901,392,297,127,
689,851,594,042,047,800,445,544,008,825,587,331,893,689,975,026,361,987,924,
180,954,510,942,036,369,605,858,103,796,539,921,657,268,713,661,164,564,778,
463,164,405,063,580,996,088,183,008,515,664,179,676,725,793,980,127,090,920,
364,974,398,313,371,201,267,751,462,022,236,250,114,448,485,281,585,807,556,
429,271,409,482,636,299,857,764,417,115,096,441,552,274,864,148,388,046,976,
224,942,332,170,782,901,509,949,614,375,921,377,225,389,035,701,233,549,034,
613,937,637,356,331,368,330,476,654,959,742,211,017,236,921,417,871,041,476,
852,180,098,382,238,271,468,505,331,797,748,396,262,773,930,073,136,144,384,
273,767,282,940,595,558,173,727,396,920,013,202,015,233,198,383,587,766,195,
366,942,949,785,915,077,103,751,949,040,403,363,262,038,199,628,888,602,741,
659,066,360,448,290,746,406,084,694,111,990,691,308,502,665,641,145,136,082,
506,823,443,793,107,241,025,554,680,412,439,236,686,038,852,119,584,295,895,
819,210,968,321,431,842,892,304,755,823,045,101,034,055,322,019,872,019,199,
537,196,162,023,726,139,596,301,890,957,065,924,971,559,159,758,854,548,923,
071,744,767,768,904,682,739,767,245,196,650,789,374,267,133,618,419,805,204,
060,524,928,104,537,544,804,283,886,527,577,567,426,857,360,306,610,291,958,
247,526,006,131,510,669,232,895,871,775,853,330,153,209,929,296,478,915,403,
306,945,729,597,417,560,099,317,376,260,286,093,160,907,711,497,997,078,085,
067,181,618,295,232,490,257,588,103,323,809,279,394,690,891,974,115,661,939,
569,042,896,660,506,640,926,456,763,899,216,722,538,390,883,283,867,110,564,
123,302,817,828,322,680,311,865,955,360,858,286,452,442,662,054,101,582,823,
025,715,700,865,961,375,571,610,727,636,070,701,507,025,044,288,850,065,326,
396,557,905,371,369,329,235,568,104,355,952,891,073,905,191,251,486,548,533,
107,361,545,842,176,577,739,772,817,087,743,945,934,604,408,886,021,815,921,
646,583,900,803,842,058,159,204,204,590,949,631,363,937,762,576,094,492,344,
703,971,557,920,109,821,337,808,437,783,401,331,179,654,999,100,446,821,426,
480,900,388,530,140,262,186,756,580,178,433,728,683,759,352,147,302,722,131,
512,292,585,036,852,012,598,926,845,841,600,832,533,610,653,017,091,184,596,
302,013,432,881,045,430,422,882,336,078,009,909,512,922,948,929,331,625,118,
774,049,859,202,853,770,351,510,415,172,527,913,307,224,633,216,036,301,018,
649,146,247,923,773,430,992,522,261,975,716,647,388,561,744,984,419,461,501,
715,455,968,357,635,138,617,244,531,148,519,426,754,508,025,942,746,137,113,
599,097,861,678,637,213,428,633,009,566,748,743,974,398,536,413,616,033,739,
395,168,550,695,475,098,899,640,696,857,653,147,988,783,738,090,678,573,923,
674,596,014,794,216,963,830,256,145,004,801,290,810,934,967,396,427,869,640,
947,309,254,166,379,782,186,059,281,031,990,412,037,056,036,341,025,252,033,
130,802,347,440,074,367,922,288,681,738,277,553,374,562,575,705,606,005,769,
495,593,406,500,524,091,944,858,144,566,804,472,935,374,914,852,660,168,220,
725,271,016,948,173,488,657,073,064,008,692,046,910,292,629,608,613,438,857,
831,604,780,271,608,680,331,026,421,816,622,709,360,011,507,635,107,201,265,
225,963,987,245,465,716,118,236,364,838,980,065,186,994,127,784,802,627,390,
122,541,498,901,822,457,183,502,707,254,487,822,994,826,061,505,743,855,020,
068,619,002,610,252,387,765,663,395,090,328,175,497,951,910,046,036,914,133,
254,883,371,505,015,828,301,382,370,871,669,779,800,392,320,968,911,665,196,
947,032,391,320,449,530,518,651,595,416,953,847,002,027,008,248,350,495,104,
826,736,411,705,191,137,107,632,707,755,992,689,691,494,727,501,201,703,949,
891,293,675,093,725,883,437,531,803,987,470,743,159,025,173,658,732,038,854,
927,151,764,905,167,492,864,463,333,227,330,575,742,478,640,437,172,087,331,
548,704,037,599,726,962,731,617,145,096,187,721,500,057,710,779,911,591,759,
376,656,516,298,240,692,276,872,659,475,380,423,648,211,155,084,951,646,016,
581,422,940,080,785,516,606,148,459,828,833,949,260,347,433,990,573,594,444,
748,529,191,617,205,783,066,700,783,961,110,623,405,789,532,837,889,301,912,
397,386,159,480,317,684,490,778,215,478,368,592,617,990,293,778,492,809,706,
815,800,375,127,514,280,769,425,954,130,434,245,276,543,750,116,071,210,552,
941,673,826,644,214,114,331,674,735,834,276,226,346,381,763,116,939,854,328,
517,688,002,308,164,352,132,516,297,018,392,011,348,713,189,753,448,036,883,
073,928,071,117,346,166,496,632,125,965,018,448,871,700,291,837,751,327,178,
647,577,507,597,499,601,627,033,122,862,952,862,250,748,414,776,838,688,194,
240,839,649,399,325,905,434,233,817,223,011,963,650,225,678,117,841,983,197,
873,201,722,646,135,833,267,128,935,530,904,050,808,208,665,645,068,299,474,
345,370,047,497,787,739,927,770,247,749,250,575,198,081,056,858,960,557,155,
529,684,419,425,120,795,467,398,246,840,642,567,151,288,643,313,604,952,160,
779,407,330,145,634,288,827,659,919,624,718,443,417,409,998,091,872,768,402,
039,136,653,612,996,735,959,231,852,119,582,928,588,178,434,918,900,829,467,
752,089,479,569,175,865,013,625,395,160,238,993,914,770,976,771,932,541,622,
334,422,648,107,554,480,489,618,649,527,875,693,632,390,568,159,970,807,273,
549,947,774,700,763,784,288,821,865,266,105,549,951,648,774,320,485,590,917,
089,983,556,188,989,451,452,776,391,879,016,894,194,864,161,668,126,298,343,
312,322,560,992,164,686,185,398,787,958,090,341,427,551,085,709,041,199,200,
874,838,543,870,691,677,534,523,241,190,232,862,324,380,642,658,887,578,641,
801,741,473,236,672,470,247,942,511,287,134,506,105,527,904,995,016,707,443,
297,262,020,792,144,725,167,871,018,378,331,742,738,409,779,739,952,924,329,
727,413,749,057,140,207,537,988,866,126,286,028,501,000,019,639,303,668,438,
933,777,278,431,239,234,504,958,379,571,179,546,202,357,296,205,724,166,562,
665,742,263,715,803,573,975,814,868,519,596,022,623,496,230,017,595,887,021,
319,661,913,101,650,529,162,155,743,006,100,322,142,370,670,841,949,270,563,
102,618,767,367,025,024,395,495,749,349,395,332,713,429,273,268,345,703,531,
306,159,002,794,885,109,333,221,351,189,327,857,605,706,806,702,942,533,458,
472,010,380,679,604,131,360,633,078,093,944,923,252,889,982,327,947,278,477,
470,996,077,013,280,252,505,477,333,347,031,891,818,772,199,795,936,620,797,
110,571,525,268,391,833,815,918,396,766,729,904,391,316,441,501,944,173,442,
700,837,690,913,450,110,289,647,946,100,368,477,415,753,605,913,700,753,137,
727,165,388,508,439,937,904,300,008,921,831,213,795,492,497,105,089,364,117,
143,311,397,513,961,448,004,525,585,025,002,564,459,602,075,086,295,904,797,
589,595,341,462,519,167,188,635,959,656,580,645,338,731,541,567,142,945,512,
121,852,872,552,263,529,757,351,326,644,475,754,228,238,494,254,816,299,432,
225,541,504,283,420,318,824,080,770,583,903,251,118,408,272,234,027,958,432,
635,019,604,601,817,483,663,941,688,173,705,209,664,658,149,734,435,897,941,
541,793,343,966,947,402,991,924,100,705,596,121,027,774,444,405,711,602,483,
997,810,532,185,530,118,815,352,912,910,848,354,107,279,734,227,900,779,205,
109,030,971,300,776,561,499,419,000,165,826,323,247,043,250,752,485,989,338,
918,354,546,790,316,576,360,025,741,417,289,723,230,821,798,656,300,088,914,
098,748,455,407,315,408,296,738,061,035,145,517,179,416,765,415,767,150,304,
866,516,296,914,770,979,317,666,009,163,998,800,680,391,143,613,591,310,036,
417,858,365,551,892,369,237,220,674,035,816,979,784,036,084,707,734,948,766,
237,092,135,003,496,369,352,855,401,646,666,265,317,066,401,707,467,791,784,
082,342,315,311,012,482,989,630,666,045,658,490,981,712,233,920,651,721,343,
979,153,574,252,812,653,220,547,664,277,880,345,648,204,820,745,177,030,442,
782,717,625,772,858,161,570,001,305,174,939,062,146,590,649,748,345,403,771,
588,598,123,417,371,319,751,614,702,595,479,207,518,851,535,370,987,105,045,
585,681,775,754,022,659,763,679,073,489,758,131,047,805,692,843,231,779,926,
048,180,054,431,033,804,581,531,379,109,546,107,239,723,118,947,718,323,304,
469,083,010,012,871,256,053,528,575,557,973,007,001,627,333,963,069,915,162,
726,993,509,874,902,230,324,270,649,309,082,381,723,759,023,808,954,367,690,
370,185,012,209,864,229,126,849,179,682,708,512,759,204,760,701,515,710,141,
972,322,840,883,836,669,710,673,454,922,267,382,542,228,407,763,749,222,664,
601,451,301,333,631,301,172,554,479,174,451,144,961,392,532,318,576,589,349,
771,800,501,935,713,608,159,672,208,927,524,742,825,887,152,185,511,456,951,
038,323,500,588,717,427,751,287,904,110,294,816,123,037,642,690,637,327,277,
867,706,558,848,492,319,977,466,786,285,614,845,022,127,755,004,178,289,719,
438,714,346,658,545,029,495,202,744,449,830,963,408,642,808,156,119,700,593,
037,243,721,674,002,978,667,524,781,448,611,676,959,057,080,428,636,921,451,
569,710,468,448,036,665,146,678,970,370,552,513,056,136,433,228,442,158,709,
896,505,007,531,843,010,945,113,056,052,302,063,340,980,119,389,022,419,705,
021,662,398,762,257,064,656,830,523,141,953,475,589,868,506,185,743,138,237,
415,083,563,029,640,592,065,306,944,883,294,223,011,392,965,691,971,288,820,
477,008,361,161,605,685,806,396,671,596,210,593,718,133,547,583,799,532,462,
962,562,245,850,753,563,050,315,729,231,504,398,889,291,985,958,510,776,441,
147,024,714,208,866,610,682,344,502,031,452,248,344,736,561,802,613,538,982,
138,703,642,674,182,026,128,293,065,383,585,116,064,436,081,698,729,935,255,
455,416,530,666,301,786,171,471,975,748,573,978,676,970,126,122,466,234,527,
332,376,803,980,911,718,185,041,356,923,148,723,247,144,618,671,442,814,221,
876,158,491,685,293,335,320,862,983,663,503,945,585,841,792,452,904,753,328,
997,724,637,306,523,538,744,741,277,094,412,726,648,412,690,562,269,594,979,
047,245,665,828,945,279,999,127,737,474,698,862,396,110,908,944,269,348,785,
926,822,924,272,465,892,540,332,967,730,252,838,245,657,838,976,302,990,183,
377,241,586,731,244,804,975,621,174,093,284,913,592,556,213,034,637,941,270,
175,940,028,027,907,202,391,139,075,448,938,430,903,788,257,676,148,709,420,
516,535,467,136,137,350,049,252,135,301,998,363,286,008,275,919,382,811,537,
777,045,946,255,089,642,847,126,789,648,187,262,036,029,259,082,147,360,550,
728,750,837,528,171,590,299,491,876,782,502,916,465,729,447,693,196,093,842,
572,300,901,012,324,995,793,509,085,894,812,685,272,761,840,186,805,043,423,
318,875,202,153,883,176,490,819,604,295,785,413,488,757,244,577,218,039,313,
241,175,004,904,180,885,667,185,586,347,222,314,461,238,380,439,556,632,776,
716,756,394,437,561,371,327,769,497,862,769,292,165,119,208,103,938,683,667,
972,511,786,589,452,894,298,013,349,259,898,049,409,322,204,037,720,270,613,
462,530,397,998,689,436,749,536,453,351,617,076,859,979,062,057,966,198,764,
968,777,157,517,706,731,858,245,719,765,430,104,972,764,478,751,778,275,615,
398,867,552,610,099,208,499,916,153,967,323,482,042,613,500,152,081,773,971,
446,755,167,238,688,926,088,101,389,316,099,453,849,348,045,725,607,332,998,
310,948,021,746,640,210,250,100,286,191,632,060,474,190,813,604,931,620,160,
150,273,074,777,261,226,604,567,665,589,486,908,803,625,869,997,240,467,988,
348,706,819,224,247,983,701,848,033,076,093,818,976,567,179,547,840,756,913,
272,710,258,245,514,499,622,120,017,437,501,563,794,571,673,541,312,744,166,
774,515,808,454,872,897,795,821,053,571,613,228,552,683,430,254,398,745,170,
062,978,110,171,201,829,463,636,237,553,932,828,549,123,951,369,665,989,212,
421,090,514,322,254,866,408,864,866,687,093,053,639,672,055,880,033,456,373,
801,970,280,217,685,725,215,159,443,909,614,019,275,714,009,562,045,651,816,
636,402,896,144,722,700,153,254,735,723,583,622,436,773,037,296,489,867,814,
140,609,836,888,539,341,852,443,740,985,172,001,691,823,987,345,720,446,028,
139,348,514,099,651,414,775,861,135,837,432,615,179,545,623,415,514,427,040,
079,757,021,756,624,788,061,874,992,740,049,536,025,961,702,756,310,609,375,
526,409,240,581,357,705,044,349,349,131,106,198,742,079,343,182,507,148,989,
854,921,005,995,246,581,097,266,345,194,760,804,184,167,062,346,571,807,335,
000,998,061,893,238,286,450,025,893,067,605,057,107,177,564,546,088,504,231,
689,122,961,538,287,981,667,512,854,380,721,692,697,829,931,778,911,618,187,
919,843,857,342,174,308,719,614,338,102,780,720,824,197,750,134,971,316,600,
329,328,555,837,231,126,016,026,008,472,898,431,514,355,045,892,609,751,379,
246,170,319,202,515,218,021,169,120,674,111,178,544,852,181,400,538,891,460,
180,642,752,297,485,032,748,084,208,142,636,649,806,726,117,554,000,527,751,
771,904,374,732,906,397,712,512,242,639,516,479,104,521,297,136,393,155,264,
690,585,174,743,826,375,558,000,814,020,898,491,158,434,847,494,735,364,657,
647,407,795,818,005,158,649,608,672,987,884,635,551,636,482,805,291,680,936,
190,507,030,624,911,308,128,344,407,128,462,048,665,857,794,635,350,373,834,
990,747,930,692,988,332,085,806,868,745,455,984,611,005,711,252,415,768,739,
913,504,601,508,637,294,697,263,231,420,037,402,408,385,568,078,247,924,640,
352,783,185,921,950,103,997,788,359,015,170,054,862,444,294,440,568,353,964,
006,806,110,983,827,579,127,510,463,449,116,730,508,985,314,974,224,711,137,
971,659,208,125,244,612,840,348,002,891,960,512,354,993,194,097,845,021,758,
702,315,277,783,403,903,207,876,550,097,561,785,148,778,132,657,514,491,599,
604,002,546,019,000,694,236,267,576,338,631,772,342,556,593,820,859,467,616,
917,446,632,998,597,816,164,232,954,139,104,979,588,827,908,385,087,784,065,
425,186,834,621,643,686,977,322,368,937,225,285,499,474,631,647,719,353,343,
824,628,641,230,813,632,001,308,564,547,537,546,708,998,091,515,321,807,553,
350,759,217,917,474,148,796,249,584,030,475,375,599,560,657,776,710,775,507,
922,642,205,389,925,112,030,658,332,206,516,969,254,748,358,373,511,241,758,
605,593,650,329,431,282,842,507,700,950,472,172,253,463,607,098,788,490,479,
313,473,218,547,494,865,259,432,231,610,342,702,432,433,256,531,378,881,693,
671,655,591,969,604,034,158,297,050,389,468,840,371,551,451,391,213,381,636,
845,304,404,794,078,109,084,261,907,583,848,930,086,200,328,124,493,999,495,
161,812,596,038,459,630,583,738,650,998,471,620,121,737,774,387,273,904,202,
650,621,061,417,899,986,937,172,037,644,716,726,616,792,495,649,328,475,595,
875,923,625,894,789,865,584,448,818,798,740,940,888,049,499,452,209,203,994,
547,637,392,441,435,386,953,920,528,590,533,981,904,749,877,799,723,554,792,
602,015,934,158,879,326,465,125,565,852,766,385,764,062,678,974,211,276,509,
153,672,286,317,282,492,012,014,921,332,138,248,547,062,116,547,907,921,697,
057,738,418,184,197,423,545,873,383,021,497,953,110,986,124,567,435,410,528,
388,510,994,630,497,648,727,000,456,156,330,321,542,851,755,031,509,088,414,
078,133,210,326,928,138,712,379,538,185,741,659,519,434,767,085,666,935,253,
321,972,724,662,977,346,042,183,943,643,222,073,370,065,221,110,396,008,219,
032,284,681,734,380,671,714,947,795,828,117,892,942,670,875,799,215,687,923,
109,172,662,149,364,924,224,595,893,970,903,976,988,838,670,525,527,524,917,
260,773,778,054,053,615,495,587,051,544,353,607,975,558,269,572,721,296,996,
339,986,590,518,876,766,708,457,378,827,586,367,631,786,137,221,875,878,230,
426,688,651,384,689,124,804,696,985,964,670,247,897,660,344,469,522,822,802,
907,510,485,635,376,675,929,741,177,176,932,666,773,061,023,891,158,709,049,
109,050,378,563,336,014,765,767,161,912,007,461,602,261,088,211,397,574,514,
603,882,132,538,520,266,121,097,388,141,655,459,196,273,897,697,344,614,345,
308,153,082,694,276,123,173,388,399,271,755,489,243,789,464,109,369,262,228,
703,269,807,033,453,620,727,689,283,080,902,727,482,120,511,958,506,736,040,
408,968,221,761,057,504,981,332,471,449,357,110,022,365,815,884,106,561,557,
283,864,762,283,368,637,944,820,235,196,355,426,327,829,957,275,943,617,217,
845,663,778,022,276,229,371,650,273,399,280,015,470,066,592,165,602,615,418,
699,858,200,242,123,204,260,002,034,544,146,915,052,215,207,527,117,365,273,
122,989,480,450,600,994,268,371,389,941,975,358,246,170,721,220,576,729,885,
806,559,814,084,093,880,927,556,398,431,632,242,775,903,238,102,435,803,734,
482,772,454,428,277,752,422,719,500,454,201,350,407,106,428,716,220,063,413,
585,954,683,249,191,392,234,388,893,709,136,056,312,736,945,894,893,734,318,
504,742,982,451,998,534,531,672,262,066,794,371,231,310,192,598,162,010,330,
545,848,612,522,434,358,734,668,503,791,982,670,948,512,559,678,330,576,135,
971,539,908,442,327,419,992,440,726,047,531,838,591,769,218,026,316,308,467,
726,370,200,609,967,528,197,019,639,971,204,882,517,925,131,606,907,238,622,
982,168,175,188,317,394,383,979,445,172,578,871,719,984,084,411,096,330,091,
093,452,331,986,132,756,626,969,027,719,566,973,338,390,724,833,692,887,360,
601,807,903,639,350,666,482,898,753,210,166,150,511,271,148,570,990,450,041,
327,155,205,179,371,036,896,428,507,740,230,745,407,474,359,650,881,002,103,
786,816,182,720,082,608,601,178,949,813,448,402,685,960,698,276,960,060,072,
165,787,234,916,822,848,334,618,923,893,837,116,037,143,473,103,562,331,376,
902,959,402,647,606,969,885,308,465,588,654,574,400,687,044,426,383,554,232,
653,659,793,737,784,904,637,237,879,812,136,271,553,658,137,778,712,764,407,
994,896,918,533,499,979,696,038,862,460,144,224,739,431,161,885,279,309,534,
493,872,750,350,504,579,138,222,909,064,676,823,652,365,187,320,348,274,861,
382,382,914,588,361,399,457,525,702,066,588,252,937,132,208,417,637,283,825,
574,925,473,702,383,143,988,644,431,832,096,758,405,178,361,564,179,644,711,
337,162,701,846,926,438,442,490,976,199,778,107,009,160,061,314,655,537,599,
640,987,767,814,470,304,446,627,006,331,405,795,501,496,066,228,592,532,919,
826,768,866,320,870,076,591,482,491,249,864,842,693,510,686,278,799,771,426,
065,366,711,564,075,019,045,773,831,821,819,242,417,428,959,674,543,898,984,
514,312,551,726,884,225,090,123,313,244,560,885,843,886,452,104,818,295,585,
011,956,066,447,660,578,806,160,395,271,397,785,774,303,064,367,110,539,346,
376,672,708,255,443,078,860,502,166,438,394,926,463,117,543,625,259,897,696,
649,998,678,546,823,541,253,361,512,331,685,118,882,296,012,270,932,022,322,
091,032,040,015,759,216,991,692,527,762,294,859,584,765,630,137,025,729,804,
078,520,640,967,167,002,561,822,406,496,333,644,828,275,496,554,176,176,862,
127,850,729,633,181,338,873,700,736,240,440,753,625,159,118,691,360,326,712,
398,565,910,466,509,546,805,919,743,577,783,446,331,196,515,154,179,522,947,
746,064,715,149,926,370,187,678,376,859,706,012,199,015,157,635,036,402,305,
547,084,564,362,853,559,298,220,963,660,767,184,495,808,792,250,979,485,310,
880,637,558,684,195,932,976,302,578,419,460,231,211,696,606,412,462,352,746,
812,605,282,774,678,289,161,622,396,973,448,601,864,686,760,399,197,625,983,
189,144,676,181,880,466,040,329,492,723,417,439,530,163,112,723,332,710,370,
868,383,274,013,746,204,739,843,919,167,701,241,865,363,439,095,722,095,496,
993,849,732,624,148,885,882,192,163,497,313,340,750,378,502,474,565,010,470,
084,907,136,878,653,040,873,910,216,239,364,673,272,866,638,800,925,005,775,
092,094,634,954,869,406,011,019,049,505,993,504,030,335,483,076,701,526,808,
295,141,888,795,675,701,909,971,818,590,950,758,420,798,641,242,934,004,227,
210,979,687,793,050,379,103,227,457,881,056,992,853,119,571,401,420,814,264,
247,639,075,481,971,382,198,246,768,332,678,407,056,055,841,903,102,584,855,
812,736,175,807,375,776,168,488,405,663,015,888,532,699,845,036,853,018,508,
880,621,030,521,434,266,056,047,700,295,359,719,332,872,106,247,846,327,709,
674,073,874,822,607,896,937,325,787,150,427,555,054,395,970,573,990,648,380,
974,384,659,960,205,235,036,201,692,705,105,508,498,953,799,648,863,403,295,
174,001,478,533,102,543,365,543,862,614,049,458,459,207,509,619,130,284,759,
789,328,720,821,357,453,804,758,849,747,594,864,270,280,907,075,928,595,499,
086,477,371,909,506,862,915,000,610,729,326,366,720,002,656,762,731,505,484,
397,833,183,507,526,084,214,921,320,115,090,098,065,677,525,919,277,777,808,
376,522,818,670,977,981,130,182,475,582,653,141,943,390,642,343,078,460,972,
838,901,921,307,972,370,156,126,295,590,138,778,806,324,003,490,622,717,124,
041,807,505,315,552,434,429,890,664,663,966,333,983,786,211,000,137,547,683,
402,641,427,562,339,000,029,139,329,083,547,894,606,358,005,903,637,624,143,
795,987,761,890,069,639,625,316,617,463,132,962,714,957,906,482,224,255,277,
179,917,350,590,082,932,337,358,050,068,835,165,262,117,170,012,605,435,784,
642,779,836,178,949,876,924,180,453,734,109,970,081,308,689,525,669,110,812,
337,304,473,794,554,185,047,979,398,643,911,740,034,379,797,182,530,898,953,
661,698,446,976,485,389,145,778,138,562,631,491,906,766,638,754,066,937,043,
226,148,556,067,690,782,535,467,330,772,219,362,401,783,608,301,010,273,834,
525,201,512,450,392,965,300,150,338,660,489,432,283,623,098,246,757,710,261,
628,530,678,310,406,164,098,467,066,920,446,291,301,325,004,156,793,790,716,
326,812,845,934,660,876,609,476,154,289,418,734,087,492,761,964,183,490,007,
425,483,494,132,231,250,107,466,805,532,409,205,242,453,581,510,838,964,746,
981,953,193,531,973,856,436,857,177,617,422,743,520,573,549,235,311,518,537,
912,543,479,059,145,865,674,519,953,252,360,698,336,387,033,960,314,175,781,
292,898,394,378,038,849,666,265,081,710,837,174,551,336,698,956,826,658,382,
573,035,580,877,519,272,870,460,271,547,557,603,086,511,906,587,553,997,299,
160,983,400,517,448,732,587,813,833,671,704,466,992,368,617,247,150,654,586,
002,146,681,481,964,194,566,000,328,558,069,662,527,473,979,483,728,884,440,
633,847,318,369,402,095,096,051,224,774,105,813,085,310,194,229,942,526,343,
918,849,260,214,409,979,661,017,251,112,631,637,584,626,872,888,748,785,907,
502,039,632,521,034,776,894,600,765,670,811,102,495,527,914,770,429,521,339,
345,680,448,233,313,078,200,632,724,471,919,772,332,318,993,703,232,959,153,
391,574,976,246,249,057,520,115,711,456,700,974,414,190,013,898,101,465,469,
383,270,120,412,199,162,771,401,797,106,406,713,053,399,887,526,022,666,625,
287,122,789,742,315,616,060,512,880,515,932,260,765,062,421,065,413,157,038,
106,300,946,681,913,949,226,639,390,003,480,617,478,384,033,911,379,912,970,
470,455,203,263,454,557,883,160,095,516,931,798,608,272,839,976,165,626,170,
160,313,725,590,217,202,374,796,797,491,485,893,106,123,877,077,844,204,450,
847,482,013,999,491,052,554,635,899,509,861,834,651,148,321,700,205,974,770,
788,223,111,182,001,323,424,217,901,546,777,832,294,969,900,384,765,699,698,
016,710,169,349,242,443,381,500,359,273,910,530,019,952,441,501,733,589,293,
850,148,135,092,928,273,278,181,252,072,861,920,825,231,149,878,818,209,524,
193,312,366,712,921,062,364,892,919,827,184,326,928,234,844,811,841,098,523,
049,535,134,281,438,948,483,482,752,656,802,863,521,580,704,678,975,042,257,
722,525,959,050,582,842,243,337,688,326,494,309,667,983,451,239,049,402,930,
367,046,977,190,817,481,620,469,263,751,118,810,087,164,980,992,873,287,155,
887,927,204,079,113,611,628,796,063,480,930,840,013,744,217,177,274,083,146,
731,945,741,176,730,048,735,891,883,737,207,666,234,230,585,995,218,092,262,
134,831,296,970,078,461,944,893,830,009,477,947,149,779,230,755,314,850,914,
120,610,770,793,171,746,022,475,095,398,760,856,123,140,041,311,275,080,634,
348,801,174,350,905,520,398,252,971,660,253,513,479,989,110,415,941,844,045,
087,666,979,262,723,787,242,568,733,554,285,889,914,565,685,107,127,245,839,
474,051,839,956,440,539,332,011,636,778,423,185,280,854,403,950,568,137,916,
596,159,326,377,735,053,424,980,807,023,288,081,224,076,732,930,048,653,660,
412,752,216,528,107,517,530,270,500,506,592,831,860,310,217,658,090,104,986,
251,833,462,768,509,780,300,715,450,793,897,716,580,335,034,044,888,612,682,
358,520,346,623,885,833,288,337,781,925,980,338,786,537,357,146,450,882,678,
854,592,403,409,376,042,337,856,193,990,893,807,474,100,565,501,275,546,450,
369,471,052,594,381,790,082,553,489,727,705,968,864,135,657,616,726,168,450,
577,831,749,740,902,710,784,985,133,951,313,011,298,176,805,267,351,877,523,
080,798,675,676,622,848,996,482,800,133,309,813,549,510,862,235,666,558,611,
393,761,492,195,115,297,413,923,989,875,525,976,591,255,398,059,465,114,219,
031,776,124,381,336,039,384,386,038,547,072,023,653,318,999,957,830,406,258,
091,184,659,858,583,399,352,676,467,777,786,520,721,788,867,746,283,199,162,
287,780,911,027,623,838,688,100,134,919,363,933,559,930,960,663,849,733,857,
786,014,813,392,105,855,012,242,541,657,022,065,903,821,657,636,647,168,738,
872,936,824,204,941,097,173,994,465,348,911,962,838,174,475,242,974,476,581,
633,209,255,488,670,874,227,175,294,547,146,894,892,979,607,830,100,384,604,
649,695,211,741,799,559,134,875,471,288,301,475,133,159,891,179,808,086,181,
406,675,258,028,107,698,012,855,593,358,252,850,388,050,872,745,301,152,962,
011,607,712,160,029,574,714,927,989,228,163,810,854,429,239,948,121,536,159,
641,704,932,136,565,888,762,850,555,361,145,613,164,393,263,778,372,225,857,
588,070,197,132,007,685,679,897,171,491,678,710,260,846,936,350,516,476,879,
577,350,600,422,743,602,369,407,888,382,159,555,827,063,069,651,189,415,360,
744,681,408,089,214,355,829,122,937,431,242,439,002,354,520,230,127,635,460,
339,636,404,687,952,221,794,712,005,135,450,287,200,497,677,751,909,167,580,
730,518,095,245,160,368,737,176,927,912,863,526,133,947,477,845,597,505,469,
314,064,094,358,816,379,261,843,644,106,134,560,669,208,490,564,478,165,733,
844,881,122,300,571,287,798,662,477,507,593,557,390,726,588,937,840,601,671,
990,514,207,117,159,495,146,939,269,748,276,952,536,099,176,842,231,104,360,
269,164,293,919,158,752,038,445,241,476,540,983,841,304,350,930,686,161,438,
436,744,303,893,993,583,430,576,804,058,605,784,812,466,577,838,889,452,167,
973,017,643,460,690,445,737,567,862,306,401,335,793,283,923,257,596,429,695,
743,561,401,428,987,508,795,162,064,093,937,855,651,560,322,838,048,345,626,
132,765,772,577,216,772,029,959,215,370,932,874,801,424,362,121,427,890,297,
649,546,115,686,013,307,950,574,194,733,828,367,887,569,397,787,940,104,009,
207,763,133,906,869,043,132,958,801,759,011,609,631,461,660,525,723,106,349,
284,078,301,527,894,320,100,645,323,131,333,270,781,390,774,360,896,348,247,
072,494,992,506,845,232,464,606,993,149,307,282,618,964,434,570,253,711,977,
203,351,937,606,617,115,637,684,510,075,278,236,852,490,952,711,169,036,966,
493,450,401,246,651,322,117,155,972,061,068,158,072,713,395,657,250,975,070,
290,573,663,861,578,064,227,705,818,866,510,803,812,334,815,033,638,291,864,
361,467,903,663,900,298,917,979,445,142,205,228,269,507,447,199,096,627,719,
295,686,051,249,892,281,059,310,555,215,677,510,991,801,584,575,381,183,729,
391,110,143,676,123,614,290,306,613,856,965,229,979,233,695,265,119,019,730,
056,644,265,447,775,309,479,312,389,012,916,220,787,480,814,952,576,735,460,
235,779,869,724,016,694,155,530,391,591,583,175,308,617,941,561,281,083,591,
263,249,153,880,476,706,136,394,268,523,449,567,581,042,527,934,202,652,422,
747,177,253,847,599,255,114,017,355,896,887,633,919,173,340,192,347,037,732,
048,595,786,222,320,358,810,249,538,695,461,884,713,252,677,583,098,230,823,
018,900,030,523,088,840,618,188,153,791,909,339,316,266,951,671,333,201,108,
846,891,968,662,722,727,962,696,325,659,254,902,857,466,334,761,748,408,599,
599,115,401,168,485,731,978,990,866,101,411,722,327,141,234,041,146,737,554,
628,844,041,026,930,350,329,989,833,614,501,798,362,544,565,463,379,139,703,
908,960,210,933,067,759,321,791,255,328,536,928,790,657,624,230,780,014,356,
916,262,977,432,704,927,294,192,920,211,774,081,346,226,062,805,624,987,189,
131,581,466,697,589,693,892,587,914,115,294,442,669,759,517,199,692,383,887,
694,719,503,223,088,011,372,499,123,875,110,974,545,657,438,859,280,987,087,
604,824,404,680,856,999,803,392,620,920,681,911,150,433,475,720,611,492,782,
294,805,095,669,249,002,007,784,568,397,389,710,929,116,056,941,834,102,293,
212,182,203,633,505,768,770,251,161,853,699,054,911,744,811,446,504,706,295,
180,393,209,938,228,565,987,955,431,078,301,133,211,217,593,165,411,004,756,
427,722,004,946,514,647,848,919,769,095,377,664,727,279,758,518,232,969,984,
124,191,567,291,023,012,320,593,994,512,302,776,106,889,167,078,373,576,848,
303,282,425,820,996,451,080,062,792,672,166,224,500,840,122,528,728,449,793,
464,469,817,755,694,200,661,644,695,645,044,448,601,496,964,735,780,436,661,
205,040,491,193,927,354,768,156,717,469,731,298,434,005,925,148,202,482,976,
106,120,014,374,488,640,918,683,623,338,947,930,866,285,092,913,976,906,558,
609,520,568,061,244,706,691,626,479,538,586,441,202,795,707,353,513,945,752,
170,909,980,092,557,304,762,269,473,798,992,683,701,646,703,930,840,285,338,
647,657,094,507,407,338,924,621,347,105,638,336,675,050,478,439,614,598,406,
992,527,941,453,538,603,885,054,233,510,377,506,792,672,610,963,137,882,681,
277,871,887,654,500,683,736,911,250,937,886,571,804,390,062,778,066,643,993,
101,445,238,825,167,827,737,392,458,702,180,649,429,235,557,439,612,308,165,
835,275,388,165,859,263,543,265,417,025,648,763,993,528,807,903,928,912,706,
860,532,043,728,045,566,894,575,714,251,682,228,894,564,457,088,891,613,124,
858,487,259,978,191,725,743,244,106,425,108,266,227,382,777,205,067,682,929,
328,417,095,044,902,505,698,251,978,097,343,680,294,884,852,024,732,154,626,
681,665,947,714,445,366,257,629,586,672,117,847,425,545,299,622,212,857,407,
182,423,731,049,127,919,735,130,376,306,282,463,086,387,777,222,549,655,235,
994,350,979,973,533,657,415,793,132,770,908,180,620,295,378,824,548,969,468,
227,251,322,608,718,279,206,583,515,920,500,537,049,897,954,935,167,445,526,
564,800,889,519,915,416,598,265,789,865,612,926,913,286,862,778,763,458,602,
709,225,116,874,510,683,349,361,996,761,480,278,632,272,678,234,720,183,571,
802,944,335,822,677,652,223,924,041,264,334,538,474,602,444,329,538,512,298,
510,214,490,056,663,842,835,715,444,815,302,550,194,422,309,777,528,568,872,
233,810,194,770,773,581,529,431,755,873,740,725,462,965,925,067,335,607,098,
879,381,528,843,942,989,172,382,305,766,582,080,195,362,537,423,191,237,750,
023,356,130,207,571,487,374,707,067,245,185,717,568,771,737,799,869,713,261,
990,221,736,090,985,077,293,071,220,829,062,504,595,827,316,596,726,806,005,
396,406,839,468,962,213,252,327,581,132,393,953,487,542,500,294,405,452,251,
153,217,020,084,492,805,187,925,886,507,844,544,885,080,436,050,728,633,936,
558,781,207,091,416,306,991,696,185,245,898,075,892,615,265,121,533,169,582,
882,896,131,100,573,237,385,643,390,786,967,610,447,029,055,089,294,029,210,
229,187,752,638,756,928,403,344,949,173,347,509,767,278,730,774,010,808,499,
557,147,178,216,476,443,784,373,978,110,494,245,389,743,206,839,988,362,508,
599,646,168,164,977,361,272,741,120,480,945,794,906,371,533,544,212,545,796,
996,514,175,611,983,987,893,330,623,702,059,649,000,704,831,865,317,260,844,
217,788,776,938,832,826,853,331,639,074,983,904,258,482,576,513,508,215,290,
820,462,018,509,115,566,332,877,228,626,058,445,466,464,185,002,692,504,484,
615,717,792,220,012,949,158,968,305,527,444,764,566,131,765,582,982,928,526,
437,978,468,640,213,519,094,335,188,609,963,688,476,322,096,255,677,578,470,
126,089,019,441,378,644,041,531,140,153,632,785,852,925,318,056,552,206,434,
038,342,781,449,002,145,824,291,675,044,334,286,833,038,977,858,105,851,188,
744,757,965,729,249,305,085,151,339,815,891,232,098,142,488,783,623,414,105,
774,387,384,843,338,750,252,681,947,543,286,547,776,543,066,228,050,725,935,
843,585,068,872,975,158,037,999,089,461,023,558,998,657,141,900,100,630,756,
559,546,071,082,944,279,047,265,550,980,544,004,546,127,812,987,862,378,540,
809,777,417,153,523,029,362,150,176,389,376,193,756,867,522,691,391,236,924,
139,636,992,306,463,707,354,960,202,761,491,577,746,407,561,623,040,142,783,
903,146,701,829,265,270,553,190,617,847,619,280,100,313,529,014,484,084,508,
004,240,520,753,049,156,172,136,857,433,506,998,373,160,277,630,932,233,086,
787,552,322,909,832,800,036,225,969,627,394,714,836,433,959,952,255,657,722,
305,259,296,774,776,122,284,927,732,896,277,992,600,863,017,392,536,241,783,
502,664,143,309,742,853,978,322,471,744,731,772,525,021,797,069,344,736,263,
768,482,429,900,355,610,356,237,119,251,202,197,386,121,278,952,711,355,658,
814,923,306,403,906,527,124,560,911,713,046,850,514,214,377,321,258,004,982,
703,813,439,849,150,660,393,698,442,022,549,839,860,333,536,380,583,476,794,
708,895,207,830,533,855,125,383,431,897,610,674,544,948,712,441,820,348,375,
762,317,321,946,288,558,465,556,716,931,317,411,108,984,350,618,487,923,855,
371,569,315,096,645,478,899,930,392,155,449,731,659,769,875,383,679,494,810,
132,994,234,972,752,586,864,118,814,738,854,068,770,400,460,042,792,565,048,
053,114,481,306,547,410,475,925,797,946,998,495,749,497,013,031,075,890,145,
567,892,979,778,901,909,289,098,914,737,099,385,753,265,109,665,874,426,836,
598,391,946,810,493,750,830,941,192,590,616,441,149,053,397,296,886,887,556,
433,760,732,024,724,001,155,870,629,530,463,823,252,237,098,996,502,015,172,
137,255,219,950,297,993,022,010,507,290,230,450,423,304,230,688,052,929,669,
771,781,718,127,393,496,570,202,021,378,359,681,895,569,687,196,110,418,778,
122,912,580,568,198,465,590,230,429,598,257,412,326,869,848,528,585,497,229,
433,564,960,585,367,650,674,172,194,904,365,840,748,294,566,494,490,890,763,
608,401,267,764,742,183,990,419,819,959,311,500,093,604,833,166,986,093,642,
893,061,280,803,230,752,862,454,858,711,009,604,560,614,992,166,394,892,333,
864,680,689,540,694,139,104,312,097,866,044,054,613,272,479,353,791,649,353,
510,326,102,552,743,064,708,333,747,150,198,107,714,657,767,008,226,709,110,
428,559,496,270,422,782,570,381,156,215,584,545,966,812,267,274,351,827,377,
037,445,188,917,740,877,262,191,190,333,721,495,966,039,138,865,791,749,862,
864,897,140,502,539,612,068,887,512,564,607,769,003,295,633,370,170,717,469,
017,069,618,299,499,140,857,870,534,017,287,007,866,032,623,591,475,349,379,
131,314,735,331,211,172,915,244,777,506,694,927,106,716,112,608,883,451,454,
500,682,359,655,606,092,454,867,601,616,179,643,200,777,282,160,143,853,027,
213,061,332,097,498,827,084,339,385,602,255,693,779,130,277,084,753,428,950,
102,991,275,335,824,535,924,480,726,047,755,117,009,082,321,935,746,967,570,
134,462,112,558,073,606,632,622,887,862,800,524,573,817,790,355,535,245,907,
433,828,611,431,696,958,356,235,805,145,139,340,803,098,979,414,713,610,924,
689,438,179,487,987,564,075,629,266,626,867,598,990,193,697,062,811,810,209,
996,014,578,608,983,013,020,705,507,482,445,257,496,703,353,411,499,608,100,
680,057,012,003,145,193,179,705,272,397,363,530,844,153,668,723,627,606,202,
426,925,163,754,417,944,599,757,078,916,137,821,845,471,379,701,008,347,843,
348,385,819,883,906,178,430,164,510,221,118,014,937,050,587,364,521,465,238,
173,056,891,352,881,717,763,679,157,261,150,426,150,928,570,857,233,993,766,
482,664,880,513,008,515,593,490,735,645,135,587,207,992,925,106,030,082,607,
261,539,143,924,508,577,128,433,914,526,775,585,975,709,396,430,552,305,770,
208,730,534,034,120,245,537,898,229,471,148,395,974,839,017,871,976,372,761,
636,597,865,330,768,773,659,416,758,457,706,703,474,747,155,612,937,718,469,
867,619,393,800,028,788,285,000,238,433,250,412,525,715,166,762,271,570,171,
250,281,447,269,731,722,276,260,270,224,682,170,295,013,252,414,450,873,167,
897,029,054,540,861,599,937,974,197,459,811,781,333,968,509,509,681,086,569,
442,832,976,362,298,912,652,626,630,332,952,296,275,622,451,111,058,344,130,
503,739,118,051,418,391,492,783,040,717,319,149,737,970,977,401,000,323,352,
099,823,365,671,159,158,603,973,680,089,624,454,121,111,188,001,909,139,548,
281,969,418,359,991,935,219,237,640,018,410,082,060,176,513,647,000,307,258,
688,631,197,491,149,298,418,152,302,687,742,892,764,283,662,479,113,281,956,
989,605,240,921,795,264,945,158,524,117,062,896,576,936,635,124,701,312,428,
968,248,474,980,305,669,859,685,195,558,375,703,747,933,159,264,144,207,504,
352,698,714,964,609,420,935,875,773,444,728,662,052,904,983,179,957,890,014,
331,502,351,002,210,501,911,762,391,877,625,231,191,584,841,534,306,590,454,
619,701,776,089,929,302,605,505,849,609,420,743,689,916,086,363,202,802,086,
570,074,290,777,915,365,781,657,435,706,177,580,891,302,641,941,376,332,536,
693,533,097,856,537,739,325,345,082,599,188,801,493,380,599,912,586,112,421,
970,115,099,053,566,155,353,527,012,969,102,794,129,367,579,250,241,863,163,
014,993,602,175,161,081,899,300,333,432,098,467,032,504,773,074,268,220,423,
965,563,612,992,066,518,250,763,225,774,313,435,622,619,085,584,189,063,416,
371,525,422,555,455,431,363,608,579,728,405,947,051,317,600,162,771,167,405,
566,441,526,201,951,488,804,942,065,616,566,602,672,510,269,226,869,112,409,
990,145,201,936,526,060,594,850,876,429,910,955,437,222,400,072,118,944,772,
870,036,191,299,655,092,921,866,341,859,763,547,400,548,286,552,991,919,400,
657,499,401,558,511,313,597,599,241,303,030,814,709,585,317,554,523,254,662,
560,797,491,616,710,450,833,909,845,632,479,294,578,972,257,597,908,860,041,
384,821,089,212,356,570,032,270,050,325,990,526,974,500,289,845,034,994,677,
125,701,421,974,089,117,870,571,398,782,504,832,836,917,590,797,982,379,508,
912,983,487,357,954,974,056,694,514,126,237,656,434,200,222,526,053,855,232,
361,640,131,031,497,941,721,659,116,804,362,369,401,865,128,236,444,522,641,
769,425,872,417,879,756,740,464,966,781,278,661,111,420,297,953,245,851,045,
689,975,494,203,647,421,976,570,954,526,838,824,003,852,766,290,398,044,769,
013,370,737,943,170,713,519,932,133,702,585,639,889,379,616,319,230,194,593,
204,661,901,845,115,247,712,159,133,218,456,521,867,291,448,167,334,546,009,
968,633,564,084,138,250,019,274,480,047,225,659,189,836,024,079,592,807,883,
422,908,588,486,737,183,835,926,912,377,139,205,658,593,182,294,195,014,307,
921,146,042,307,738,263,045,096,254,717,752,326,211,777,794,824,259,640,908,
475,601,817,032,403,854,849,068,949,660,431,359,715,873,886,573,362,628,857,
572,145,955,440,921,748,219,665,715,620,398,259,638,605,906,656,642,929,606,
938,444,764,296,353,607,071,515,432,018,544,099,272,294,521,226,731,960,672,
383,721,951,174,713,983,276,533,276,455,999,024,729,141,692,605,363,461,295,
233,211,331,136,192,455,778,876,564,968,451,051,799,866,341,140,415,245,974,
692,999,792,101,524,905,736,882,852,744,963,790,466,371,596,118,756,041,530,
728,076,735,342,910,872,982,171,809,651,459,472,741,244,676,053,208,800,260,
053,921,585,162,090,724,188,763,968,552,278,207,318,030,341,875,725,713,782,
964,114,624,034,594,939,773,385,741,059,717,300,124,545,481,267,325,029,557,
188,547,138,657,955,496,497,168,070,065,539,081,070,803,910,533,731,079,688,
513,505,012,270,267,707,885,020,623,239,879,595,301,310,954,470,488,798,399,
181,466,786,413,657,947,978,488,129,574,265,863,617,147,399,876,288,659,699,
991,119,673,768,591,354,036,911,427,809,450,017,696,221,478,425,435,918,055,
237,513,309,747,258,063,493,213,374,015,183,214,848,925,240,517,707,233,605,
215,591,291,501,841,214,302,646,868,116,635,720,077,541,995,305,806,428,169,
153,588,544,596,579,321,383,602,126,854,131,915,872,090,230,615,102,110,242,
418,215,497,667,157,312,587,701,439,475,759,174,450,725,001,642,033,395,168,
956,760,569,786,431,849,324,470,231,925,071,347,715,528,688,364,461,227,507,
636,766,234,717,899,282,236,455,638,155,308,560,709,647,541,068,877,598,858,
113,736,261,828,669,756,115,048,362,463,037,694,873,128,989,778,447,064,455,
146,342,658,160,350,513,441,352,886,334,551,963,504,412,711,239,495,913,525,
690,683,159,957,953,524,991,403,104,995,464,587,710,810,456,299,432,961,729,
506,552,949,402,377,784,497,054,457,471,340,700,943,454,465,460,500,863,400,
379,867,072,417,121,729,853,174,327,463,442,695,412,739,662,636,778,555,546,
723,917,396,924,239,917,402,800,009,763,086,636,094,619,127,286,262,501,357,
890,057,368,210,600,381,720,482,259,169,493,970,756,976,443,599,626,995,068,
461,411,644,260,424,232,875,280,991,181,393,153,705,009,198,359,455,369,374,
475,131,054,825,811,098,767,048,116,616,501,126,521,151,723,139,444,388,573,
527,964,758,444,612,631,775,830,735,793,014,961,543,147,686,692,284,484,586,
835,487,182,796,140,339,223,370,474,828,081,132,530,217,524,020,844,273,380,
225,121,270,031,234,785,850,663,468,472,689,136,591,318,644,069,435,421,457,
392,160,293,249,147,050,940,640,009,409,017,918,522,317,362,085,095,552,834,
584,579,489,024,601,065,740,789,305,817,531,960,708,302,695,081,101,026,633,
691,234,600,705,072,097,318,285,646,093,882,841,305,397,760,425,948,565,038,
456,591,908,592,969,615,144,828,199,426,695,812,213,643,511,051,404,627,514,
782,077,156,668,753,127,247,071,978,171,565,594,521,330,946,947,262,047,349,
866,993,877,582,731,315,816,780,798,026,389,321,722,458,362,663,166,890,658,
093,096,738,024,217,087,762,297,753,992,648,330,798,409,163,948,445,441,748,
660,019,516,938,909,896,819,158,074,312,269,336,194,306,409,679,490,794,633,
371,911,133,524,723,641,108,730,737,758,817,638,488,852,353,146,999,995,069,
748,570,819,956,220,672,812,295,902,927,341,557,803,949,758,567,885,669,798,
948,235,886,774,678,619,216,988,264,577,087,433,352,253,749,274,973,670,247,
107,569,837,811,052,334,980,490,604,223,307,451,100,706,310,944,341,015,275,
533,126,808,815,933,986,024,491,655,974,322,221,929,949,533,459,721,012,126,
626,916,662,844,943,464,392,695,327,360,796,898,004,964,132,693,535,342,074,
809,969,989,180,737,712,467,871,420,264,447,424,060,263,915,067,534,398,402,
880,630,178,219,951,871,187,221,074,166,541,113,486,250,956,646,102,496,559,
082,956,721,679,706,450,232,071,099,895,313,762,210,186,469,075,195,514,524,
577,416,164,364,913,686,121,189,375,349,451,503,253,077,733,081,884,226,138,
125,395,795,629,622,725,552,712,095,215,895,169,899,631,916,118,291,603,924,
246,868,397,453,159,527,525,249,047,355,145,376,293,071,832,745,951,879,347,
033,172,871,292,635,001,918,409,676,168,675,982,563,349,293,910,520,354,208,
331,069,300,036,478,459,333,582,053,390,709,267,642,844,401,219,037,353,975,
838,157,945,178,472,459,540,480,485,608,635,048,297,935,203,906,040,072,667,
356,764,816,892,998,626,373,022,693,899,319,359,424,989,930,183,750,042,783,
699,783,988,763,611,134,045,860,180,403,879,695,177,986,445,110,033,282,980,
998,456,021,109,397,994,435,560,785,376,572,437,381,535,960,500,144,799,839,
837,161,794,415,314,894,451,741,072,145,064,974,684,543,225,612,588,324,019,
529,422,839,390,860,864,910,966,570,683,357,437,677,626,434,412,236,496,790,
553,237,601,908,943,747,043,585,917,153,037,159,178,411,923,796,408,348,535,
129,653,624,171,466,584,952,208,453,997,787,972,562,189,302,926,166,982,478,
129,926,406,646,452,048,694,349,731,196,439,586,487,860,853,337,106,162,748,
660,901,495,321,038,528,476,957,109,617,084,885,980,856,193,812,034,526,729,
083,422,320,134,911,982,898,844,175,654,075,545,091,237,960,895,182,749,176,
762,194,581,469,500,813,730,695,688,694,965,153,802,667,242,627,268,279,191,
407,560,346,005,436,843,156,652,687,862,362,626,887,056,707,794,816,597,101,
501,480,311,509,123,032,409,953,796,636,708,246,487,514,802,485,470,519,820,
654,728,433,181,966,061,913,115,976,805,679,242,528,049,125,902,616,753,626,
343,997,525,661,532,278,760,361,665,749,815,553,944,439,195,526,191,362,569,
986,351,004,861,571,856,082,718,734,182,372,331,388,461,405,888,948,315,706,
237,434,372,637,551,673,818,805,502,682,930,718,431,769,449,610,038,414,858,
056,910,699,652,744,975,726,367,115,318,129,666,971,247,786,136,684,236,164,
756,565,144,572,367,198,177,842,074,872,762,144,204,108,101,857,559,237,184,
028,864,297,178,608,651,950,913,398,271,452,262,914,020,891,228,451,702,612,
712,364,405,778,218,578,937,522,900,903,977,970,108,006,940,811,810,519,809,
982,437,883,548,256,148,416,512,253,391,234,186,469,562,692,381,990,796,941,
509,860,307,220,797,696,008,628,672,804,844,961,388,833,860,314,008,291,109,
366,403,632,736,533,599,738,806,748,273,962,923,264,934,525,673,193,137,740,
008,613,426,787,117,198,142,803,416,740,612,138,179,499,992,243,656,859,558,
864,658,128,548,176,173,162,788,744,467,158,673,978,200,114,837,889,019,251,
107,762,791,000,756,457,519,757,900,774,933,027,214,292,077,637,573,725,952,
820,755,023,754,869,294,095,446,063,805,725,376,146,226,439,693,516,122,544,
538,573,831,839,468,691,484,482,001,271,456,806,332,348,604,732,666,768,821,
415,895,559,148,825,279,130,291,393,322,947,380,396,395,674,076,519,058,283,
770,140,800,938,403,192,121,412,332,264,328,564,099,938,973,924,817,555,716,
176,688,469,207,659,367,066,886,625,961,798,210,547,823,364,121,434,483,340,
942,109,213,541,754,388,074,429,884,700,432,172,800,589,513,527,142,194,432,
323,601,279,272,343,376,876,724,344,211,962,923,461,628,418,142,995,355,977,
291,115,082,339,648,448,010,416,827,920,694,416,653,833,011,369,022,749,684,
691,440,931,907,373,584,922,993,569,930,365,004,700,938,951,222,891,338,387,
879,425,697,972,401,485,936,416,624,823,210,547,444,807,774,577,410,775,420,
401,119,807,691,755,050,161,297,846,335,641,242,529,854,282,316,481,443,566,
821,626,190,735,593,423,179,029,226,975,300,811,905,255,856,459,859,392,394,
748,512,345,249,066,067,010,318,268,648,405,755,604,657,519,801,468,230,769,
376,323,899,851,112,427,311,359,137,143,416,541,179,605,003,629,308,363,588,
779,513,172,398,164,776,426,517,654,182,996,159,943,875,888,254,762,783,380,
982,407,582,445,005,928,104,284,517,888,353,920,546,497,143,660,189,794,298,
620,910,047,987,677,039,536,853,654,729,361,304,387,219,422,522,090,310,880,
729,616,426,053,070,409,291,424,999,016,849,379,948,374,730,119,666,684,757,
460,237,036,106,448,848,921,103,492,337,641,603,640,116,312,679,918,789,763,
454,265,408,145,485,155,792,616,182,335,819,069,483,194,054,945,700,351,336,
697,894,449,768,805,974,788,668,881,138,013,381,459,504,899,562,842,450,105,
287,901,659,105,157,058,835,624,177,575,211,561,738,460,724,355,245,492,600,
469,586,425,801,730,247,719,350,566,142,620,134,183,197,071,126,216,458,619,
294,699,081,079,623,584,214,819,867,952,336,157,290,918,923,638,131,844,803,
561,047,312,538,206,899,655,875,802,395,729,117,184,732,614,450,673,208,270,
751,656,337,219,266,497,827,574,179,291,518,186,626,613,679,894,897,134,398,
256,660,486,946,926,627,844,291,506,975,419,032,544,159,938,684,908,189,780,
698,742,138,322,654,241,041,326,293,623,958,593,700,111,830,990,697,796,164,
770,083,026,517,456,381,601,827,314,488,851,495,026,172,967,597,686,235,385,
229,139,181,278,098,202,395,779,352,249,029,100,586,963,805,537,735,690,083,
523,293,159,237,692,823,458,973,416,966,792,276,387,418,246,041,719,739,466,
716,279,804,827,414,365,471,551,768,275,872,818,821,122,380,728,453,529,262,
136,875,392,662,970,473,486,493,663,540,704,847,814,421,513,291,869,437,949,
187,472,688,007,172,131,656,954,062,059,465,253,649,136,142,532,557,053,514,
135,156,190,402,628,955,855,345,946,633,986,452,305,653,537,839,868,365,649,
382,137,444,167,612,593,511,541,556,406,354,592,395,544,444,013,239,550,917,
099,103,947,763,907,317,055,798,532,265,294,371,734,646,432,015,093,398,092,
817,212,188,356,511,878,359,455,657,883,140,357,630,972,241,638,188,726,068,
279,168,382,869,674,786,561,405,965,593,628,768,768,668,451,233,659,495,914,
662,661,270,311,925,026,410,099,141,336,894,793,340,556,401,156,885,008,084,
150,909,176,860,690,108,192,230,373,938,534,867,732,758,948,405,297,236,339,
418,639,604,444,257,776,423,038,007,256,960,817,756,048,434,453,494,559,706,
769,195,453,321,344,816,023,958,174,103,713,678,382,410,757,352,021,470,138,
399,433,847,650,435,952,610,683,329,578,639,634,090,412,667,409,564,811,052,
628,641,271,222,565,594,589,891,507,661,905,511,277,586,231,653,046,939,307,
073,972,811,140,458,060,323,715,708,184,213,954,928,427,069,548,724,647,020,
068,038,373,588,574,541,702,069,666,140,218,076,353,554,601,935,785,005,738,
494,343,439,326,250,984,258,456,516,982,077,218,158,609,823,863,115,431,914,
647,858,245,427,709,430,551,204,555,286,154,055,798,858,774,716,076,061,966,
958,060,409,876,741,721,966,664,503,945,946,623,548,767,174,925,198,903,007,
771,398,995,231,726,082,734,823,256,743,605,651,936,585,671,170,390,652,143,
445,123,980,057,889,068,738,575,951,342,874,488,171,196,832,444,933,253,601,
270,277,074,768,347,752,968,546,606,818,910,008,968,456,006,265,966,315,552,
039,219,776,961,588,525,565,020,234,682,499,853,580,187,487,753,701,351,776,
918,102,071,182,667,057,192,543,007,361,518,098,113,472,573,881,287,250,920,
682,598,885,702,430,972,963,243,357,512,478,854,068,004,655,877,151,798,452,
668,944,839,401,624,447,931,732,627,501,645,472,353,808,287,344,955,086,314,
931,746,523,665,699,337,892,160,501,387,989,726,848,420,426,759,757,039,410,
952,653,646,748,405,534,434,990,713,868,009,178,129,622,253,425,270,306,968,
160,752,432,497,238,536,785,214,551,612,603,631,483,009,073,576,330,870,957,
496,988,832,055,510,458,636,306,354,393,247,714,158,514,034,151,591,345,640,
368,972,263,199,547,506,419,884,112,758,416,235,357,751,202,618,438,106,302,
713,215,976,505,511,957,808,415,581,885,666,025,364,436,576,944,749,711,335,
409,443,328,315,233,460,230,899,617,233,808,488,223,273,183,496,649,330,965,
843,681,084,135,865,264,092,711,463,724,637,816,549,888,261,848,187,829,583,
398,081,328,530,123,034,151,656,310,791,768,738,016,896,723,052,083,612,604,
783,612,048,844,881,750,521,624,457,239,887,876,607,101,508,324,521,360,245,
650,537,503,353,567,703,217,542,417,567,184,654,888,335,461,112,251,544,562,
234,986,161,307,091,597,151,224,654,664,418,260,472,157,333,777,281,729,102,
318,024,365,230,318,246,525,013,782,901,273,815,156,229,239,745,163,386,995,
575,261,318,986,862,748,268,587,850,989,921,373,903,960,829,465,279,688,008,
355,618,542,849,200,055,700,673,437,874,566,405,824,440,224,971,367,141,078,
161,941,972,765,522,117,030,865,416,284,397,675,150,788,634,280,954,677,031,
066,723,161,233,002,243,923,955,167,964,662,350,377,661,562,608,849,072,860,
434,124,469,972,612,100,542,220,050,085,026,913,286,192,588,821,215,610,330,
319,247,204,377,392,390,493,804,147,333,660,049,788,756,993,222,793,105,123,
997,471,215,323,857,818,851,095,025,773,205,286,076,397,272,958,596,544,555,
968,382,644,780,492,910,402,008,516,293,351,399,977,548,528,784,139,930,045,
482,749,486,547,791,819,831,748,906,141,506,628,364,755,575,143,898,448,492,
208,311,832,668,659,755,964,621,853,653,097,480,213,573,003,954,936,674,317,
183,360,704,656,788,388,436,202,122,467,197,459,888,290,892,428,791,423,023,
120,234,978,818,351,689,816,184,789,707,215,424,640,459,627,477,990,730,513,
641,924,902,373,101,693,593,944,594,831,840,998,066,399,314,284,818,137,064,
381,029,677,267,642,203,464,474,993,016,601,318,614,654,897,011,773,301,597,
762,983,818,736,427,071,759,457,492,265,367,558,213,851,344,987,536,258,697,
228,380,963,870,304,277,646,341,805,905,578,743,839,247,608,086,816,259,589,
732,558,020,985,055,208,092,851,950,514,598,029,550,384,685,173,292,345,714,
219,923,619,834,397,093,007,819,926,545,694,003,505,663,060,197,743,654,328,
767,382,054,103,671,287,364,206,095,225,847,389,669,334,843,052,073,148,056,
332,839,017,630,946,691,532,322,802,406,673,432,150,084,980,318,491,901,177,
767,690,362,198,363,712,417,521,066,719,138,402,919,526,129,394,887,795,464,
166,641,426,448,174,705,000,143,226,947,361,497,857,822,629,229,324,895,395,
443,385,587,794,618,929,970,381,164,041,653,734,805,175,382,221,010,327,364,
712,858,251,009,917,648,898,756,846,337,756,209,974,880,614,810,462,067,444,
505,559,309,939,121,746,779,456,885,655,769,642,911,110,859,258,260,721,380,
647,451,043,795,447,479,357,500,124,348,865,891,378,830,687,789,276,449,870,
480,293,825,684,900,227,285,968,962,822,850,153,718,456,717,900,688,196,076,
792,805,576,853,735,491,952,658,133,925,067,019,247,540,194,694,907,390,829,
761,969,394,588,437,880,454,734,992,324,684,962,145,957,018,626,837,532,183,
003,111,061,437,242,533,948,993,899,908,641,175,648,157,263,743,192,520,238,
398,244,814,286,103,412,140,991,266,854,444,476,595,532,403,186,327,606,160,
449,336,000,279,452,559,789,884,880,940,191,870,511,892,567,639,860,646,568,
221,812,007,692,466,215,086,907,100,664,288,009,474,568,027,612,808,090,763,
476,236,689,985,704,653,689,122,278,707,610,752,883,448,614,796,058,391,763,
079,536,026,402,489,355,713,954,207,448,607,730,551,912,438,240,772,768,454,
332,677,094,260,403,665,536,427,386,933,291,341,940,398,863,494,339,440,847,
274,949,271,169,498,488,880,693,448,852,655,022,439,848,367,084,166,262,014,
701,725,410,238,607,931,711,240,702,430,247,773,632,032,466,255,069,138,421,
808,232,939,654,623,604,521,441,469,432,990,389,169,262,282,373,105,536,780,
640,602,377,358,470,455,059,619,886,184,631,956,164,964,575,884,875,160,178,
750,556,941,630,373,146,590,463,367,021,254,649,421,874,099,333,484,372,761,
856,718,089,998,694,407,412,695,936,300,636,559,672,569,989,374,297,199,810,
965,519,981,800,176,305,642,005,292,924,075,057,123,024,772,371,900,107,730,
008,204,003,631,602,587,820,250,023,091,947,216,765,034,803,571,729,167,623,
552,848,783,761,095,034,700,975,993,279,202,608,063,117,087,779,557,898,278,
904,264,878,238,328,172,617,933,260,225,610,462,315,758,298,831,271,222,870,
665,110,578,495,205,702,793,299,669,500,024,621,341,454,364,119,967,390,151,
315,442,940,891,545,104,969,513,996,556,601,061,155,850,606,558,637,146,765,
785,702,914,541,371,431,009,057,416,506,435,104,713,404,205,898,312,176,786,
679,055,834,926,822,238,489,725,892,791,546,215,864,241,290,459,213,476,044,
676,530,548,557,694,603,931,923,402,423,868,979,414,667,506,864,867,437,641,
545,774,537,255,368,550,365,635,294,874,960,981,132,815,790,679,418,838,044,
932,463,843,527,134,727,897,236,016,035,429,762,995,414,179,587,303,770,850,
457,014,991,946,138,876,964,677,964,498,650,854,033,872,696,932,040,058,996,
535,287,758,389,509,560,019,478,634,673,026,325,109,904,447,538,232,018,455,
206,464,568,586,272,662,673,358,129,865,962,393,896,363,981,100,227,000,722,
778,596,704,430,974,394,522,270,979,501,113,364,129,023,615,405,238,794,985,
430,085,916,879,116,586,885,442,742,702,971,257,592,973,662,016,811,780,046,
853,959,885,816,728,662,288,528,752,608,875,646,932,919,248,017,535,585,675,
676,317,187,724,218,032,091,115,259,435,609,157,029,571,323,144,222,935,589,
076,799,361,309,456,954,769,148,424,454,381,777,738,896,365,660,450,334,605,
769,610,451,957,707,431,852,297,669,168,485,324,397,729,638,732,134,489,305,
922,787,081,966,015,334,724,229,529,197,970,299,787,213,000,772,809,724,788,
549,292,027,199,831,477,156,049,610,385,167,083,614,246,879,588,757,486,891,
224,993,632,091,517,436,098,140,323,749,935,873,002,785,854,896,644,291,427,
255,846,977,126,957,333,702,200,505,495,042,253,920,409,692,919,191,172,629,
901,010,667,559,422,309,164,137,874,440,143,593,042,780,899,501,325,815,596,
548,366,562,854,563,735,800,714,528,559,157,755,399,857,691,826,806,731,518,
391,379,144,513,542,356,061,658,495,321,360,975,143,831,300,702,592,502,369,
067,276,996,473,702,840,090,297,824,463,728,812,792,780,318,830,418,419,446,
827,091,086,316,360,121,854,013,552,430,164,741,375,250,676,137,260,086,886,
338,036,313,520,331,278,701,203,681,905,707,404,817,093,541,995,525,649,192,
542,140,355,190,592,886,722,504,328,971,108,559,294,191,188,527,343,363,359,
599,777,354,912,537,618,072,215,955,587,712,797,835,127,722,728,990,956,367,
666,197,140,032,678,197,263,677,430,894,494,277,567,200,694,511,382,858,339,
201,450,106,959,883,201,453,648,679,640,127,719,255,537,387,487,874,717,003,
327,453,182,411,397,282,965,270,404,561,150,976,940,936,674,522,471,631,103,
501,919,522,059,444,936,062,494,864,320,172,903,059,675,593,118,818,733,887,
066,780,277,638,459,908,599,497,261,540,486,128,117,292,159,427,363,067,820,
898,431,569,971,948,635,454,503,789,539,247,648,808,744,444,663,840,543,856,
227,845,587,853,515,511,063,361,144,632,213,209,461,951,613,244,028,818,104,
860,585,443,768,456,238,937,238,017,205,519,943,144,061,080,505,544,902,970,
929,735,677,886,112,470,494,837,948,178,731,139,699,854,759,955,943,038,272,
448,988,962,723,521,192,270,202,055,354,032,488,851,487,755,354,887,575,555,
338,396,113,554,150,453,461,302,308,153,623,174,073,106,990,403,993,085,700,
656,340,824,797,147,789,254,122,365,355,208,394,621,025,351,361,273,877,041,
777,016,968,769,501,725,439,125,207,592,748,682,122,199,737,974,661,429,074,
514,741,099,609,131,849,937,789,648,017,397,022,521,815,510,306,094,221,694,
512,046,620,760,876,601,715,241,645,042,232,575,095,953,142,731,091,500,423,
679,627,564,208,122,275,165,510,345,693,720,191,114,336,381,429,664,187,121,
418,913,984,206,146,369,069,062,531,460,395,500,338,736,833,477,655,889,414,
834,391,818,095,740,330,649,661,379,004,473,631,229,345,994,149,070,011,537,
260,029,907,634,660,989,435,578,069,087,774,622,120,036,890,449,270,639,378,
757,747,757,421,582,417,598,622,604,031,763,420,542,583,430,598,658,113,463,
825,273,371,627,639,806,815,264,045,845,243,691,815,770,148,066,396,617,766,
574,933,467,486,716,437,320,940,525,017,502,384,901,719,107,403,338,168,362,
882,763,750,416,371,163,420,066,806,358,916,268,165,388,428,549,985,250,405,
091,601,140,349,815,550,775,976,550,006,963,611,786,789,704,261,428,121,150,
723,518,514,717,566,338,971,755,757,726,476,097,737,045,109,154,601,485,345,
632,199,227,528,597,454,858,792,087,002,148,137,892,910,330,540,903,432,696,
104,091,073,009,877,430,206,242,877,810,721,120,475,777,512,952,271,818,681,
114,118,421,840,948,445,503,162,690,560,937,431,588,134,921,498,746,775,503,
168,658,476,260,300,955,648,665,482,621,470,589,469,550,640,528,493,424,507,
435,205,500,654,956,696,791,687,578,426,578,273,751,581,447,963,440,864,512,
055,316,585,316,048,619,616,681,333,170,110,260,413,564,794,197,491,220,778,
603,518,429,708,816,534,861,659,663,570,153,321,954,556,489,383,272,181,229,
238,841,335,450,207,071,080,814,840,443,078,624,408,737,008,802,964,983,407,
944,390,518,369,179,120,876,426,500,619,725,220,188,687,667,328,987,239,203,
440,581,702,101,472,145,226,964,951,869,661,582,261,045,360,333,015,465,952,
920,907,537,278,220,970,427,335,238,394,622,728,700,891,192,098,083,331,387,
509,057,205,781,200,924,908,930,305,493,073,388,537,422,797,994,569,779,895,
571,642,468,055,149,656,422,407,465,464,971,624,863,289,013,537,504,468,261,
026,087,772,518,748,599,271,112,050,445,243,074,669,553,200,257,749,418,114,
401,148,665,625,179,697,662,125,372,856,629,791,086,309,652,099,555,181,374,
856,032,385,458,239,379,990,444,116,096,681,974,368,357,380,977,691,691,337,
926,038,498,604,694,867,813,573,470,856,238,007,192,694,978,354,058,980,863,
007,187,439,173,813,493,186,139,187,282,902,236,748,095,747,608,763,920,273,
729,671,911,204,277,722,496,154,575,490,537,483,376,857,163,964,540,521,254,
623,284,517,107,364,898,814,596,563,601,063,294,782,123,682,240,284,229,076,
407,387,226,528,837,986,920,390,193,868,928,885,375,318,147,827,281,838,094,
437,233,761,985,264,847,137,177,740,064,981,406,284,409,289,586,501,578,628,
111,769,355,053,815,540,838,957,324,859,324,966,380,050,041,756,372,889,187,
074,355,287,184,288,049,012,643,573,733,060,083,333,169,150,036,414,497,926,
462,072,141,483,673,646,506,953,101,549,356,943,949,265,827,820,595,339,669,
781,650,131,604,995,067,854,392,536,764,677,653,751,225,739,348,687,538,639,
716,446,880,040,556,686,596,740,431,142,311,334,117,032,551,866,809,003,187,
505,254,832,115,704,753,136,971,597,580,554,069,907,464,836,356,402,571,762,
680,615,828,734,344,086,641,787,333,957,660,823,508,959,864,441,782,885,789,
199,348,525,888,702,461,927,371,174,100,840,279,037,677,968,362,609,746,389,
563,982,036,823,909,387,502,219,685,513,429,234,297,333,994,891,774,804,802,
883,070,831,694,015,071,801,962,178,191,196,002,078,806,691,426,369,083,298,
429,579,921,735,382,130,894,235,180,203,921,527,200,341,427,658,210,585,083,
150,928,451,393,338,885,587,796,222,821,952,001,572,163,075,471,104,726,799,
784,458,427,250,151,139,747,889,662,241,769,552,012,715,468,162,405,928,534,
984,700,115,209,466,806,423,309,910,138,927,062,526,967,651,300,543,585,971,
585,180,797,987,195,777,046,773,867,680,918,244,389,539,896,723,150,022,989,
726,188,598,733,138,173,376,193,422,783,037,662,236,322,943,202,534,219,285,
575,932,154,556,398,644,237,124,639,128,654,174,101,014,202,201,369,595,754,
157,592,771,116,379,210,475,417,816,768,392,484,809,764,904,985,908,993,364,
026,170,195,499,968,573,411,695,126,477,289,524,336,772,936,800,843,484,833,
381,163,046,752,502,429,937,511,181,793,505,342,711,709,257,864,373,636,596,
793,185,263,410,236,095,082,666,788,024,602,665,958,783,930,073,728,624,422,
524,811,513,546,646,325,463,218,393,011,021,426,913,720,172,945,665,707,360,
571,897,051,436,423,375,863,888,382,145,432,360,726,793,801,842,003,127,804,
543,198,819,819,355,753,922,087,163,547,463,623,354,449,690,763,138,071,123,
338,593,101,697,964,103,593,163,921,285,151,071,435,417,123,544,627,018,074,
790,203,943,882,380,241,001,733,147,888,834,371,038,865,348,334,359,029,221,
131,725,499,550,042,387,612,181,268,877,140,993,195,762,573,290,925,445,395,
287,345,460,129,936,875,668,119,945,001,946,265,669,771,089,678,128,356,976,
310,504,504,984,244,192,865,435,128,628,041,837,486,539,520,528,180,126,921,
766,470,844,481,739,677,633,530,578,606,709,589,644,019,209,638,051,000,950,
192,389,969,776,233,042,092,828,680,646,949,645,311,617,053,110,040,639,870,
411,891,382,175,282,452,565,344,366,609,487,505,940,475,507,830,563,572,536,
647,762,807,648,494,179,738,792,528,842,889,999,276,590,980,042,732,571,885,
971,228,970,926,970,988,501,798,133,479,705,865,844,769,834,871,180,857,978,
545,402,984,510,605,518,795,237,517,765,815,291,097,155,468,503,259,693,020,
218,279,224,049,395,829,284,194,862,625,323,174,335,393,346,027,172,743,542,
997,842,802,878,648,733,893,220,813,368,549,945,865,253,114,789,202,138,723,
285,892,715,424,236,446,576,448,799,893,724,775,160,708,008,453,157,374,873,
417,866,230,068,734,982,333,042,708,267,430,920,922,925,691,442,418,017,007,
152,296,603,629,860,446,840,840,775,188,835,782,604,416,214,123,542,748,837,
791,443,955,367,450,703,469,842,164,285,855,308,280,393,141,643,556,905,849,
327,467,810,238,492,845,087,310,105,584,950,305,138,964,519,806,188,493,237,
353,001,725,499,723,724,778,969,162,003,142,611,937,058,622,722,366,469,655,
543,427,367,334,436,747,539,982,896,209,403,359,225,313,848,823,451,036,246,
425,522,306,176,382,297,794,370,278,785,742,380,493,906,992,318,178,242,939,
652,131,250,829,991,588,449,671,532,534,950,730,809,767,502,857,576,578,998,
479,068,435,314,309,953,452,325,258,175,312,505,729,737,144,705,928,099,786,
461,641,082,760,601,708,695,059,272,142,077,945,899,339,253,822,218,499,786,
791,984,040,355,212,535,248,526,714,357,070,605,429,159,649,118,479,605,464,
780,997,153,990,167,704,018,150,658,434,967,065,038,952,427,130,950,888,302,
540,390,160,226,271,983,382,681,613,585,570,333,664,971,737,248,871,051,917,
280,233,345,188,171,147,418,471,105,474,534,216,198,082,573,581,404,490,461,
375,191,691,729,055,128,803,571,467,976,134,455,332,875,494,236,061,399,705,
960,035,166,629,295,330,863,000,444,472,824,715,586,739,251,576,881,715,236,
557,439,237,390,643,256,776,798,338,881,633,597,456,274,174,161,370,839,055,
343,007,845,732,208,870,711,832,769,075,848,459,535,541,048,635,745,444,944,
068,646,751,854,555,551,994,251,321,696,272,829,128,107,306,037,330,963,906,
753,523,632,598,956,577,081,045,730,778,824,830,087,577,621,065,013,781,458,
613,113,885,312,977,624,622,177,456,335,044,270,591,418,642,274,751,522,291,
046,146,755,587,430,906,211,081,501,068,008,399,876,988,250,332,087,113,624,
079,035,752,159,811,274,230,963,324,616,427,301,492,484,894,409,666,562,354,
626,299,020,232,133,780,993,912,416,629,997,137,385,436,627,088,123,058,811,
398,566,574,310,820,623,541,793,900,191,600,468,206,057,772,099,077,435,134,
007,249,512,206,219,705,068,973,244,109,648,634,934,532,365,220,890,728,466,
314,460,853,875,984,005,327,696,073,620,318,958,486,065,986,366,997,003,996,
534,704,029,537,164,482,835,334,331,447,872,014,001,541,532,125,911,979,791,
733,359,862,248,285,241,807,265,634,973,621,149,327,190,254,990,150,674,985,
752,817,590,545,942,526,361,605,000,924,499,263,563,546,942,665,280,594,943,
374,462,941,778,977,904,358,203,998,712,281,148,359,930,429,448,137,477,116,
349,509,307,637,732,172,279,547,499,704,214,486,304,827,675,457,447,659,435,
429,548,638,914,839,878,260,218,638,392,484,092,953,085,118,423,326,699,746,
562,059,815,613,011,854,492,450,899,495,129,254,263,001,174,797,222,856,087,
465,122,509,606,570,522,099,898,178,089,574,396,197,777,086,704,714,869,248,
034,873,369,669,997,678,074,412,934,553,249,716,172,038,026,069,779,660,563,
432,356,288,976,381,782,099,315,824,294,719,624,109,297,176,981,175,082,034,
027,187,780,718,379,032,085,374,644,628,852,844,302,246,130,693,385,863,525,
589,300,913,552,399,525,987,434,943,949,223,364,460,421,839,587,608,794,243,
800,485,146,879,167,363,469,668,667,921,639,334,035,457,442,070,106,523,083,
749,646,698,414,836,059,593,453,363,134,567,054,739,202,700,129,861,990,925,
384,677,741,766,771,610,478,155,523,334,496,615,732,707,240,970,830,668,028,
900,417,719,301,549,278,948,440,568,037,624,124,629,156,631,485,009,229,481,
286,654,395,242,679,585,223,133,059,717,064,235,794,514,083,073,569,220,251,
493,729,242,997,586,438,367,063,551,466,764,566,975,693,902,167,649,088,273,
831,920,894,019,853,300,132,139,301,272,389,373,616,456,984,692,454,593,276,
679,288,485,632,378,664,772,662,329,552,835,964,002,108,720,029,796,774,643,
882,551,065,068,121,158,344,209,866,707,488,003,809,132,193,079,245,278,397,
245,179,612,150,336,559,962,742,257,670,212,738,382,158,176,855,104,980,041,
326,483,076,134,800,026,045,367,777,748,665,609,811,199,826,071,076,985,017,
645,800,742,493,933,895,729,555,986,989,790,904,849,288,137,958,127,713,297,
470,762,154,763,228,181,859,441,097,544,501,880,177,101,921,084,988,527,623,
453,512,426,693,242,146,649,014,175,875,592,062,030,620,767,671,429,474,191,
284,754,606,206,608,152,648,173,671,930,249,624,254,366,144,157,352,476,982,
515,296,700,185,006,202,680,500,357,498,257,508,777,482,459,826,748,082,467,
214,576,679,551,541,785,973,002,134,822,005,702,949,957,154,687,520,493,319,
522,870,129,331,854,459,422,265,004,252,964,512,510,477,952,932,384,757,317,
868,416,407,754,645,437,968,128,720,427,411,160,186,533,847,152,341,792,445,
062,085,219,049,062,558,040,189,207,554,655,613,404,857,077,257,461,997,237,
245,571,877,845,470,896,924,107,794,880,412,464,046,049,486,266,545,269,005,
002,579,935,596,415,101,949,555,474,770,336,640,026,536,362,771,642,028,701,
829,715,478,347,865,187,510,985,676,971,938,198,948,272,544,170,956,393,029,
023,676,073,083,312,468,043,018,930,472,701,029,117,895,153,665,592,519,967,
683,995,863,729,194,680,833,374,194,811,271,392,741,115,409,185,552,016,842,
797,902,504,472,126,284,421,898,575,352,006,992,065,650,679,554,620,303,769,
956,128,681,576,976,526,311,515,751,345,135,797,418,507,601,838,570,826,195,
863,467,684,899,550,156,573,979,086,441,679,071,509,682,073,137,603,346,067,
671,358,097,249,315,319,613,543,567,144,252,397,530,644,823,392,903,497,389,
316,559,728,730,082,516,434,048,036,329,538,902,390,371,833,565,981,678,682,
755,932,326,842,715,378,162,863,824,769,586,507,840,556,015,957,062,706,422,
389,620,171,735,496,108,509,064,089,694,175,575,685,344,440,802,242,991,599,
635,272,564,327,551,393,339,134,003,629,090,076,398,385,741,322,328,215,114,
985,034,298,569,082,962,527,965,980,389,465,884,375,807,111,953,050,695,516,
742,559,649,200,117,782,004,973,816,535,606,309,443,895,868,573,172,214,479,
428,790,576,257,444,999,891,744,819,565,064,712,969,337,061,862,642,159,279,
437,216,779,384,648,024,338,593,386,971,615,937,893,366,590,548,762,434,599,
626,247,795,618,677,235,777,763,224,092,594,108,171,869,029,260,035,144,627,
899,888,426,622,177,527,058,139,326,693,181,447,881,341,703,797,283,445,178,
608,449,918,639,406,216,901,789,873,285,396,097,401,256,741,203,392,833,824,
337,425,225,327,074,077,949,068,159,171,179,914,095,506,481,436,414,251,502,
561,796,569,610,238,710,592,362,811,387,518,093,436,000,048,595,389,374,300,
498,105,427,712,356,108,846,898,943,174,459,063,385,160,724,974,023,970,696,
051,399,506,293,892,208,041,430,506,241,534,280,607,876,147,275,945,580,879,
470,629,732,094,467,017,507,271,409,952,369,170,339,222,609,340,242,333,811,
026,097,564,206,616,615,032,876,222,688,911,357,794,077,944,841,107,941,845,
302,351,655,138,523,181,966,493,062,256,348,078,036,158,413,593,432,124,109,
422,609,435,144,853,488,007,136,168,751,511,761,751,081,993,697,776,417,898,
033,129,500,343,198,978,418,304,907,091,308,618,178,280,915,798,671,290,501,
303,437,771,172,336,013,884,059,020,681,302,768,493,103,851,258,390,420,643,
242,861,928,314,522,538,885,479,702,738,927,289,866,114,104,621,682,529,517,
964,827,880,892,240,758,782,834,767,969,164,812,052,684,205,063,362,772,850,
198,495,101,328,751,533,834,545,905,325,958,351,583,268,489,191,598,134,562,
581,712,518,171,666,873,656,244,918,878,452,432,301,610,531,330,421,702,617,
248,752,384,607,256,602,856,152,291,531,169,387,585,792,599,830,012,047,689,
198,217,092,954,049,210,516,488,892,196,125,648,578,239,299,184,528,336,110,
395,692,929,728,010,740,170,438,990,474,417,599,637,607,405,944,097,324,823,
013,105,071,079,480,824,064,001,065,071,149,948,351,677,478,679,518,058,510,
472,147,596,130,301,670,505,248,420,747,296,563,299,596,537,411,773,137,870,
423,982,752,472,639,483,597,047,388,116,154,434,882,987,491,916,358,546,589,
769,608,431,013,727,104,594,088,841,660,839,837,141,225,438,213,132,542,786,
319,932,198,170,744,415,736,797,828,907,453,175,062,102,760,446,638,531,760,
956,762,160,501,821,425,634,214,469,872,594,954,635,100,130,178,899,015,870,
262,271,015,925,100,545,320,747,001,440,522,005,129,691,169,682,447,400,919,
692,615,969,349,744,591,080,189,333,295,622,065,302,436,652,674,762,664,613,
830,095,258,720,788,833,864,931,746,079,676,231,313,062,074,055,050,438,827,
701,250,037,238,165,364,988,536,733,567,745,444,125,018,153,528,698,778,998,
602,490,341,174,792,674,788,717,829,144,528,331,127,373,030,672,896,816,954,
119,142,844,471,896,746,526,297,416,749,140,355,222,968,131,121,731,299,912,
259,571,033,555,086,858,290,822,408,809,929,646,754,543,381,930,871,114,394,
868,179,398,178,195,187,072,997,957,438,664,445,596,218,075,532,345,796,632,
905,153,918,230,332,284,193,510,740,136,479,010,302,853,738,507,295,095,812,
937,782,343,911,264,594,895,516,129,463,557,592,681,773,666,126,671,249,283,
286,225,113,905,015,996,885,323,830,664,278,290,959,326,254,588,794,562,411,
959,079,774,650,520,755,408,411,830,098,710,596,149,230,319,698,480,479,634,
592,646,678,268,914,902,830,039,764,603,868,633,542,315,336,899,022,229,951,
015,157,982,739,535,236,462,927,106,843,838,338,079,360,630,409,569,601,753,
127,726,113,830,650,404,262,870,249,788,230,190,550,559,618,829,865,968,121,
673,162,249,202,803,348,019,304,490,452,439,857,133,804,363,292,918,769,865,
892,445,229,559,003,258,018,679,328,578,035,970,138,266,168,656,627,399,404,
607,788,107,068,712,155,807,018,743,374,051,711,711,284,548,554,593,597,894,
534,820,292,045,176,153,046,115,438,510,757,095,850,238,432,953,687,122,615,
775,186,735,946,050,916,258,018,443,669,562,844,002,724,322,925,238,419,680,
106,169,684,087,487,872,424,245,352,124,246,296,976,870,062,088,347,714,999,
978,330,173,516,057,725,627,546,704,503,014,777,460,018,817,078,345,077,482,
730,633,832,782,864,358,469,416,141,658,775,051,053,308,742,860,867,589,288,
350,562,190,307,981,714,313,537,837,858,746,298,888,062,019,496,593,741,013,
619,594,323,449,552,060,542,491,518,882,653,125,697,667,220,269,969,181,731,
880,660,967,308,296,415,926,749,850,602,853,800,249,015,386,560,602,500,216,
944,167,707,709,325,102,778,919,956,851,374,638,213,341,755,264,224,024,132,
674,696,480,156,156,369,096,566,784,738,204,487,351,334,088,201,984,402,142,
262,272,262,126,312,323,671,649,180,064,453,559,136,547,150,240,493,202,051,
563,640,858,346,015,310,300,772,718,221,498,567,640,665,534,547,215,804,381,
598,731,018,192,828,652,483,268,377,326,225,642,241,993,528,308,763,283,869,
784,627,502,048,281,550,561,662,597,170,377,244,028,919,172,209,842,776,735,
893,931,853,119,397,522,178,192,801,944,622,272,546,158,885,590,495,254,596,
609,897,308,945,091,005,030,704,482,100,614,045,475,052,395,983,315,915,849,
474,903,115,974,997,329,990,597,541,526,397,331,525,860,605,739,558,925,756,
454,168,170,236,358,379,881,612,346,531,476,814,913,501,493,631,012,499,711,
732,869,667,951,914,732,387,016,998,452,753,920,188,751,546,842,065,904,567,
958,268,221,288,574,721,614,777,912,178,110,659,242,057,076,424,463,543,979,
096,936,799,990,782,744,336,030,599,333,021,001,533,862,937,443,313,569,804,
786,861,983,207,141,313,644,441,113,952,586,612,826,586,666,152,860,494,431,
125,678,980,335,554,509,972,960,159,611,612,700,041,452,452,837,150,117,318,
105,054,035,964,194,292,326,082,467,041,070,950,221,546,664,205,664,773,290,
584,576,293,163,348,409,762,969,515,751,841,968,857,986,925,061,100,439,536,
316,168,857,069,197,667,952,027,019,438,742,365,428,858,313,139,052,928,256,
068,014,782,667,166,301,218,752,960,695,130,813,682,530,169,104,920,262,336,
416,090,264,758,485,365,307,711,049,904,932,841,646,343,341,509,336,044,346,
456,874,820,537,335,167,652,596,603,807,077,901,202,961,331,583,541,481,190,
834,737,835,464,474,843,772,153,099,460,670,003,289,183,951,382,102,438,389,
935,038,172,616,328,254,490,048,178,272,002,421,449,188,109,756,942,837,205,
677,987,737,940,840,589,924,190,288,115,579,834,644,390,840,892,280,014,251,
512,618,942,999,224,624,568,582,260,399,926,182,808,583,400,654,875,354,946,
724,236,327,059,133,379,416,363,694,576,149,530,367,912,586,990,870,120,490,
706,603,777,103,788,643,495,759,291,297,105,527,778,937,894,945,210,391,378,
008,904,534,384,748,593,703,046,360,539,769,239,095,878,796,189,780,926,390,
217,990,405,995,972,040,609,863,813,710,118,776,935,188,903,038,532,917,949,
413,587,631,619,282,716,667,170,808,500,574,802,861,032,318,625,532,514,412,
849,304,617,842,885,277,698,527,429,748,090,245,724,779,743,825,143,331,999,
985,123,356,349,172,453,304,221,978,598,150,344,194,033,601,492,240,657,310,
785,609,544,518,607,824,531,455,627,352,502,166,450,803,675,055,521,372,571,
047,818,520,839,154,140,579,126,514,694,670,395,851,013,041,252,433,831,726,
586,415,022,183,413,345,727,497,318,631,376,264,680,552,722,699,101,227,856,
551,080,820,308,108,720,328,468,567,114,632,145,507,887,564,243,676,527,063,
190,376,983,204,496,630,043,748,493,579,584,449,747,845,397,604,564,826,838,
203,077,526,756,012,495,358,187,356,895,541,765,801,800,717,545,697,469,188,
970,553,144,466,450,399,694,699,022,628,687,127,256,136,297,800,345,246,445,
164,434,751,542,707,057,204,346,254,209,528,034,325,902,693,226,560,613,296,
503,617,604,486,616,099,504,467,572,240,928,462,821,237,251,016,548,193,904,
910,004,859,650,084,253,092,470,497,715,126,208,112,737,591,060,858,916,165,
516,763,500,816,617,960,879,612,478,354,889,320,116,671,687,951,237,977,333,
794,118,704,577,839,509,172,734,720,502,241,437,044,788,956,162,288,123,357,
899,278,787,552,683,424,994,413,316,455,939,629,045,508,044,109,792,480,943,
174,622,662,325,455,577,922,985,143,728,249,375,753,024,083,376,344,416,573,
673,293,343,063,859,719,007,089,056,565,800,741,761,726,868,699,826,412,048,
090,571,491,111,668,386,195,099,397,159,376,256,773,094,333,758,291,636,866,
438,584,219,061,370,911,724,294,015,764,954,140,811,900,732,175,513,645,205,
143,224,411,058,021,966,130,468,691,930,582,997,046,154,147,447,783,241,539,
341,058,329,437,647,520,235,072,530,059,691,480,704,547,475,509,946,300,874,
548,636,668,834,040,877,019,186,695,714,236,214,170,937,178,584,620,626,671,
050,457,571,412,412,633,473,203,531,114,422,989,982,357,882,113,707,442,662,
895,255,053,812,850,783,674,714,689,720,052,895,568,667,908,781,800,850,451,
014,256,181,897,788,985,906,195,452,296,267,122,285,162,010,402,709,287,596,
810,064,721,053,354,699,736,726,904,362,162,025,370,367,115,527,679,355,951,
241,051,574,914,033,358,140,930,428,819,565,926,779,654,709,038,546,651,427,
061,610,721,658,523,318,226,673,445,319,470,390,959,868,195,090,766,622,479,
741,819,163,064,083,849,861,674,746,153,611,431,419,467,453,406,384,663,356,
957,891,274,463,574,538,491,902,176,084,817,278,621,774,928,478,042,544,852,
387,518,312,389,308,430,817,914,065,769,170,351,349,668,759,850,329,672,406,
642,547,595,859,608,235,105,636,536,965,506,714,465,247,936,555,309,632,957,
211,300,479,077,958,755,683,052,328,612,000,063,195,399,902,186,246,462,200,
723,032,145,764,971,717,777,915,880,683,853,785,378,708,034,492,975,834,628,
235,682,818,448,919,474,478,103,659,740,709,158,813,563,898,870,733,258,839,
594,294,445,252,130,315,195,938,385,388,151,117,780,630,836,882,561,843,171,
330,519,274,216,290,506,755,596,195,538,504,223,430,944,858,588,925,991,463,
463,781,425,118,229,166,149,344,756,954,185,516,444,855,265,797,630,036,929,
381,186,648,421,200,631,218,902,114,101,130,921,403,962,943,106,442,079,903,
142,473,859,877,115,248,304,540,247,235,622,952,918,219,048,798,060,733,962,
159,203,377,789,388,166,973,722,136,714,211,163,425,638,824,345,404,637,588,
334,024,731,203,949,491,727,100,334,071,057,191,754,565,941,419,998,410,761,
112,108,915,803,030,587,093,626,181,226,330,747,760,990,013,026,259,855,686,
305,545,728,561,924,540,661,423,641,023,061,181,375,695,540,117,802,246,512,
714,032,619,929,675,860,802,211,913,938,117,278,557,980,257,270,477,934,630,
531,378,256,177,883,710,077,725,266,844,068,949,548,937,058,106,251,155,179,
369,594,112,692,096,556,885,420,860,807,633,007,522,100,210,921,776,744,432,
677,394,428,309,991,319,596,007,937,457,967,210,092,496,317,128,754,077,805,
012,715,083,323,761,506,967,353,164,352,026,312,365,964,342,939,075,953,415,
749,325,775,459,830,441,567,428,789,837,529,341,641,745,572,693,176,230,650,
711,914,177,553,700,847,774,836,405,533,979,871,771,396,185,622,502,603,148,
162,316,647,200,057,166,748,714,162,532,577,577,781,948,907,957,395,790,270,
761,171,029,370,875,644,337,835,787,895,928,197,539,563,061,444,894,619,678,
500,043,255,510,781,969,519,748,425,261,141,807,349,112,691,464,709,049,408,
669,579,652,152,816,923,492,652,296,750,444,013,898,729,688,137,346,536,534,
436,044,896,864,792,014,213,652,894,452,898,108,073,512,163,021,690,496,526,
453,432,424,974,718,690,948,961,549,719,335,859,153,932,855,689,484,257,407,
413,951,805,118,103,621,851,393,711,162,243,755,414,678,483,698,691,023,714,
800,284,495,586,284,099,511,383,842,678,027,907,023,200,115,016,263,946,423,
985,177,857,040,609,497,728,607,216,187,626,421,215,025,119,800,858,251,637,
180,756,429,983,464,614,667,652,145,606,519,043,482,470,945,118,885,530,508,
734,716,432,003,493,804,168,257,897,175,381,247,785,540,846,033,269,615,242,
239,042,868,652,693,760,631,980,319,782,641,642,286,565,239,764,098,925,907,
588,561,344,318,871,422,447,690,675,380,389,811,805,074,214,884,918,512,683,
797,394,446,792,887,554,969,829,738,208,663,247,209,400,194,997,275,200,465,
129,359,990,787,965,427,912,419,711,373,592,162,282,917,905,664,852,866,519,
195,134,574,779,235,646,154,813,953,604,786,681,927,764,687,304,972,660,218,
978,686,346,498,061,583,017,834,050,187,316,409,659,190,253,552,698,795,285,
335,217,821,624,605,323,447,576,821,741,252,983,208,482,948,937,049,364,255,
525,542,058,254,725,117,995,098,331,163,613,073,642,064,331,889,025,112,535,
639,695,566,901,085,670,594,404,594,191,980,822,601,821,945,300,894,978,334,
850,024,508,327,424,952,697,875,691,759,160,654,171,621,513,407,922,581,782,
874,528,650,245,296,793,808,235,369,721,020,292,437,120,293,685,110,871,446,
645,569,505,100,325,518,536,892,815,261,017,824,684,131,704,558,901,707,566,
678,842,975,381,528,155,343,401,457,446,678,148,895,339,593,962,154,993,549,
781,111,664,008,034,402,112,412,891,871,064,616,753,285,774,741,076,736,840,
242,001,098,005,340,059,871,445,999,111,025,751,811,122,799,482,999,329,110,
330,197,067,396,133,112,332,063,970,604,269,093,903,856,238,492,447,172,689,
706,777,426,755,438,548,907,477,399,586,572,014,488,617,076,299,369,504,397,
595,026,793,617,264,894,052,875,035,283,182,297,599,538,315,028,427,661,163,
177,641,703,996,359,332,415,073,992,378,711,567,804,143,769,116,645,316,773,
325,380,799,668,950,127,594,918,649,917,655,227,854,614,333,738,849,480,407,
331,648,509,198,167,594,066,020,663,938,900,592,722,863,950,152,626,209,935,
176,334,176,277,071,728,542,137,206,591,804,286,637,083,843,331,661,464,681,
797,504,320,181,837,813,978,899,597,906,638,945,591,463,911,337,501,315,356,
729,593,247,386,964,171,638,850,873,618,471,537,885,268,364,030,698,182,429,
443,105,270,229,814,350,109,784,494,195,721,111,640,811,448,407,885,681,694,
682,224,065,018,661,013,551,911,850,712,628,155,183,779,958,577,697,842,089,
518,651,238,949,261,586,599,982,534,777,646,132,239,217,161,483,614,724,877,
396,787,082,063,075,472,189,676,900,760,821,235,737,202,722,706,681,961,432,
597,211,850,240,898,957,071,455,778,856,484,922,621,180,554,895,695,506,036,
039,589,272,143,551,824,517,551,206,276,073,788,977,612,915,110,576,365,178,
494,848,694,930,300,286,086,271,579,196,784,378,196,842,899,476,204,397,450,
947,120,197,229,713,564,121,908,040,616,600,692,074,695,208,111,588,775,709,
058,246,937,994,457,984,064,635,041,789,208,937,932,450,759,139,628,629,862,
475,782,326,241,168,603,228,900,645,243,127,489,825,456,928,818,259,933,548,
620,423,689,330,537,470,394,251,840,385,253,177,147,421,707,019,258,686,554,
188,685,315,474,290,230,019,531,401,080,905,540,834,509,330,311,467,241,508,
674,678,016,177,591,450,285,198,691,123,072,450,302,078,583,957,379,109,924,
908,157,319,334,611,990,606,568,598,778,117,368,876,011,125,366,468,223,077,
490,218,348,271,580,229,392,990,829,227,635,439,384,063,097,370,134,246,302,
037,382,883,770,617,301,454,649,519,686,735,183,507,079,233,440,859,618,152,
634,347,644,884,924,216,150,185,922,520,165,166,277,219,664,776,301,385,869,
334,578,523,206,170,663,666,505,602,332,405,867,648,616,258,762,454,729,106,
944,214,255,980,703,144,593,101,177,947,903,998,060,707,867,538,565,799,087,
498,223,960,838,987,862,689,298,458,248,546,062,407,447,074,336,674,943,081,
973,688,278,109,727,765,930,441,499,902,037,066,133,483,892,751,560,798,672,
548,600,824,257,048,344,447,865,313,698,041,387,535,494,244,094,532,721,650,
935,499,132,858,394,898,553,654,659,994,682,462,534,131,826,236,667,273,939,
624,426,587,324,784,094,581,223,448,927,834,721,042,972,882,702,616,062,069,
965,094,660,697,453,415,346,926,799,077,507,014,168,520,264,974,180,878,185,
777,588,794,179,860,370,029,487,685,415,353,976,288,223,728,072,538,992,882,
239,637,725,412,364,361,602,434,841,914,759,445,811,367,070,965,257,471,335,
075,358,457,242,053,588,496,006,313,753,312,934,959,938,022,509,029,604,956,
340,953,555,926,353,368,376,781,651,161,385,768,730,261,040,798,176,550,067,
687,253,929,354,387,568,524,181,575,348,137,446,557,159,954,374,455,553,338,
452,609,175,765,131,074,699,112,685,555,607,983,332,808,366,016,404,497,905,
013,726,703,239,813,112,899,073,787,175,592,767,246,273,749,351,368,711,026,
297,829,308,652,770,346,833,817,631,107,072,121,484,456,032,283,332,009,050,
292,888,806,487,472,949,132,239,326,523,514,628,074,797,358,650,044,356,244,
039,773,646,996,338,519,013,573,612,944,236,171,711,433,139,086,397,610,794,
231,535,409,911,173,115,229,846,045,320,924,167,806,274,980,430,360,540,051,
640,464,563,156,570,819,785,386,168,657,872,405,156,359,637,604,444,092,075,
972,779,213,279,400,032,195,779,336,781,140,217,204,143,963,325,619,509,670,
103,509,740,123,559,468,776,652,474,792,831,479,681,992,986,457,648,053,029,
695,207,473,410,921,127,371,833,894,663,757,634,828,994,619,268,940,576,994,
235,660,340,042,773,862,398,187,453,049,258,308,967,427,953,376,243,819,784,
361,835,009,726,338,291,437,867,411,333,175,380,852,069,846,410,410,883,667,
471,549,348,020,168,389,661,198,013,892,605,434,036,118,693,668,874,553,048,
246,322,636,458,232,581,843,920,176,338,430,495,707,035,172,594,615,437,374,
773,018,669,903,951,189,367,660,217,835,449,304,176,190,882,184,422,739,284,
983,888,792,914,986,913,316,349,272,442,705,343,737,320,199,778,434,138,252,
797,408,277,267,502,613,370,275,157,601,684,206,888,718,827,003,721,255,490,
232,267,289,731,028,509,879,035,601,027,754,190,234,595,587,876,812,293,801,
823,606,166,997,552,129,623,754,628,209,097,200,539,895,717,904,989,471,233,
773,998,149,052,962,734,889,874,304,301,831,029,015,310,616,936,833,424,808,
704,500,897,337,673,982,066,785,953,428,964,650,950,741,712,335,489,720,849,
902,075,463,457,098,007,618,094,687,760,013,260,903,096,785,105,163,861,374,
000,275,889,597,727,155,003,084,791,996,070,687,565,882,305,790,961,834,799,
439,678,020,597,906,348,388,788,355,762,969,427,876,252,495,611,470,185,491,
130,970,595,389,658,531,544,542,907,608,900,810,329,892,963,870,599,404,311,
183,211,982,477,806,052,616,053,880,219,620,862,544,786,704,823,437,880,898,
225,860,761,478,650,238,918,865,743,192,178,436,903,727,050,451,954,323,365,
727,901,298,634,583,497,194,858,420,336,345,745,568,418,225,881,903,335,423,
139,507,852,392,756,552,304,886,789,256,058,408,775,664,189,574,276,149,242,
462,283,472,911,509,729,391,796,779,163,662,070,908,078,783,246,708,912,586,
490,985,162,166,971,342,161,682,178,739,748,699,804,434,046,436,265,093,449,
658,140,080,196,282,658,584,184,803,694,034,309,572,985,042,154,985,735,589,
299,027,562,263,282,550,795,365,203,595,762,278,214,695,817,462,357,742,850,
261,599,995,935,961,714,810,086,930,157,402,851,972,506,413,019,098,262,188,
980,884,682,018,032,911,389,449,592,086,799,204,614,461,059,437,884,888,744,
104,202,778,588,081,403,700,959,807,236,895,011,785,248,589,377,764,826,852,
934,940,983,441,272,776,037,188,536,056,942,997,735,298,565,686,560,859,070,
408,796,218,970,448,289,247,105,922,480,606,490,157,397,536,380,459,509,360,
917,145,885,024,187,515,447,404,830,723,288,175,431,350,633,913,519,175,398,
765,587,893,747,634,199,727,587,744,064,905,762,229,669,810,046,940,391,270,
885,194,603,933,918,057,231,608,157,157,374,924,647,833,645,956,034,769,633,
817,163,267,302,619,827,397,957,892,300,424,347,480,627,485,118,313,906,776,
413,640,442,265,255,175,161,385,190,841,149,896,267,221,225,693,384,629,919,
300,671,561,232,576,525,284,905,210,407,683,998,097,101,862,392,903,770,223,
007,857,250,336,678,046,014,891,278,535,846,857,015,822,320,247,703,713,168,
168,946,603,157,573,883,545,709,009,780,593,823,011,844,846,608,235,469,750,
582,893,670,674,561,627,315,665,182,638,254,439,864,284,717,448,262,349,356,
529,097,594,209,335,737,521,466,796,505,062,956,908,722,986,207,493,901,218,
435,323,096,428,914,440,192,040,110,237,098,653,475,330,679,509,086,397,525,
747,120,540,349,949,064,969,506,306,466,613,301,867,225,441,558,001,736,587,
801,363,971,645,764,468,070,405,905,046,721,563,052,567,575,952,152,380,625,
304,614,660,994,396,615,644,759,924,315,543,520,610,203,064,974,618,088,379,
335,057,781,055,638,752,296,542,655,731,533,593,239,642,321,950,570,626,286,
716,678,207,444,418,710,269,581,294,713,673,641,868,988,891,017,210,389,245,
432,937,996,791,761,921,014,909,715,459,899,391,967,793,357,737,110,775,665,
200,877,770,365,685,124,782,123,612,512,368,872,492,321,074,533,511,289,498,
355,434,286,101,573,191,379,543,238,795,020,341,736,821,289,765,686,509,254,
928,279,774,030,623,600,749,095,924,233,525,681,723,319,894,690,837,965,320,
850,758,247,279,891,415,101,990,952,691,626,995,046,192,934,443,956,303,980,
251,950,196,502,149,381,289,340,362,066,679,592,333,425,525,352,663,404,115,
392,506,890,451,658,955,215,437,574,869,086,176,213,430,603,746,870,633,240,
812,115,644,904,841,792,793,571,380,789,882,096,688,407,553,594,472,127,948,
561,839,889,695,238,639,248,703,210,024,483,812,204,568,917,806,787,154,756,
724,364,679,732,540,431,425,445,064,790,811,343,556,187,983,441,500,963,262,
639,945,161,281,390,971,244,358,738,557,155,152,353,387,256,396,879,000,718,
147,713,711,694,553,883,653,063,807,460,727,029,783,646,779,570,431,571,958,
869,024,441,955,930,944,594,682,120,780,097,376,581,617,707,871,170,410,053,
561,971,087,708,972,670,870,800,034,549,705,028,624,026,455,985,883,883,353,
266,829,082,661,492,478,505,978,274,796,796,463,385,162,647,466,310,061,084,
174,022,126,168,062,866,656,141,415,018,405,683,733,415,626,418,834,514,197,
266,532,884,443,288,608,590,850,867,134,012,523,634,291,130,592,317,603,981,
708,894,290,709,440,187,780,107,984,327,098,665,888,846,397,029,681,270,340,
112,841,616,547,344,892,098,496,420,442,474,583,348,782,196,189,789,543,933,
779,382,430,562,209,834,504,425,812,237,039,930,282,366,890,282,151,036,846,
829,874,310,105,102,241,490,543,436,862,116,920,137,493,479,712,068,649,396,
118,271,282,380,197,988,735,749,714,090,718,833,219,929,591,858,764,287,238,
189,198,110,201,501,334,708,346,317,135,001,849,413,420,172,549,950,062,749,
713,127,575,573,573,770,821,816,195,400,775,875,872,581,962,501,587,960,393,
315,300,723,410,505,205,633,935,861,095,339,268,215,762,137,168,127,322,188,
083,269,645,896,065,579,786,467,117,956,483,612,726,719,900,958,856,551,241,
998,990,766,152,525,119,801,312,696,312,386,871,201,666,205,443,898,043,108,
770,642,178,520,182,396,253,365,229,242,552,375,926,638,277,333,713,448,489,
400,231,345,101,856,893,272,513,840,126,548,052,863,217,474,954,900,170,275,
536,975,110,413,686,955,127,130,903,674,737,679,553,797,728,435,223,117,900,
022,592,658,734,874,162,740,011,320,495,629,374,819,102,505,717,895,738,044,
157,648,301,843,305,992,632,615,366,027,823,014,619,756,359,481,110,154,686,
727,542,370,583,870,777,743,284,206,019,404,046,031,571,530,259,048,402,547,
364,172,778,523,862,938,491,751,090,813,531,021,622,091,880,137,914,534,057,
172,079,640,900,345,028,507,527,361,943,775,473,482,375,903,137,147,043,806,
813,617,150,760,948,641,342,517,134,792,690,331,784,963,575,958,735,699,775,
735,735,939,317,868,343,399,043,658,725,683,947,721,728,212,683,766,832,134,
690,740,223,849,663,624,396,492,128,284,072,905,433,082,238,173,227,845,078,
987,653,694,550,284,862,142,051,556,992,139,377,573,157,227,552,657,071,900,
562,417,533,790,096,793,331,262,888,463,236,706,799,356,460,267,161,169,743,
559,404,990,768,692,125,026,026,854,848,195,575,933,187,243,405,437,259,635,
470,958,754,178,689,957,906,317,664,023,704,032,566,491,413,216,840,851,592,
599,460,291,659,899,238,080,907,103,488,810,603,750,090,117,430,565,820,429,
397,142,291,042,578,247,243,098,779,385,727,436,694,560,761,193,874,771,470,
633,592,165,952,442,552,554,169,095,994,310,130,305,574,411,845,865,815,342,
117,641,600,700,625,584,400,987,956,068,344,757,815,614,656,983,574,580,116,
976,904,408,783,188,198,935,641,334,578,976,450,270,201,013,596,811,013,472,
604,190,399,333,615,180,125,697,498,720,754,988,630,389,685,404,361,991,355,
634,418,350,323,481,832,389,478,548,562,519,802,321,332,990,229,987,140,845,
810,616,762,582,595,151,802,190,899,450,641,221,936,636,672,577,297,545,574,
467,855,354,340,191,018,398,765,204,808,997,458,613,724,498,945,798,338,518,
171,410,062,956,281,019,245,726,024,485,287,755,420,281,726,578,685,648,224,
901,522,207,685,820,603,161,605,145,597,823,016,302,576,590,045,193,004,378,
794,344,902,317,678,778,124,973,849,617,738,252,277,146,112,873,864,351,010,
705,567,603,454,986,187,440,721,609,709,903,960,515,568,771,535,646,719,018,
343,077,568,667,203,454,654,384,931,543,337,174,584,591,010,939,919,106,899,
982,417,904,036,835,823,323,624,631,831,177,478,588,935,175,679,191,401,712,
693,891,752,456,330,582,768,701,051,777,930,909,653,268,575,322,178,164,080,
384,498,367,150,780,269,481,931,937,488,950,376,013,206,072,140,479,300,039,
867,184,923,568,803,831,395,120,778,996,157,570,546,763,047,902,175,546,838,
807,140,316,913,836,960,513,306,819,482,525,748,926,232,211,487,751,135,911,
880,383,311,576,313,306,168,582,527,254,926,708,093,957,493,716,211,200,242,
561,826,324,388,254,928,516,377,602,705,604,129,662,919,468,135,510,855,975,
755,730,863,059,851,448,522,238,341,018,214,585,222,708,953,475,867,570,006,
704,964,913,860,289,616,275,196,316,262,318,661,624,852,012,065,940,138,415,
032,503,751,391,426,220,517,077,685,803,453,051,284,079,952,105,510,873,651,
663,845,531,565,116,711,548,567,527,647,960,714,811,007,262,277,827,355,409,
919,510,569,159,956,330,302,106,110,825,212,519,235,817,929,488,084,056,321,
969,176,796,357,450,063,258,635,439,875,247,511,278,060,843,898,686,699,036,
978,371,275,896,948,364,614,172,657,341,191,678,942,992,936,643,424,374,015,
011,070,068,063,626,993,642,199,828,993,892,235,276,487,845,032,191,886,011,
458,353,747,008,384,218,500,401,410,396,888,321,681,145,143,974,502,710,179,
883,308,801,965,726,577,643,206,900,869,796,616,703,670,199,090,870,966,429,
253,239,918,545,098,266,126,803,515,435,716,683,776,520,476,635,677,166,506,
583,025,669,988,582,600,772,936,427,821,128,148,848,073,037,622,441,517,385,
973,412,666,477,689,272,513,240,951,303,311,313,880,592,072,277,828,225,032,
783,123,325,329,513,235,676,992,313,842,260,827,931,592,753,195,105,746,459,
006,728,833,016,011,202,313,745,147,817,263,693,397,290,892,313,690,734,033,
960,584,469,523,098,762,567,255,116,049,879,138,732,300,657,442,428,157,105,
274,089,404,984,707,294,210,502,873,058,707,619,432,843,487,760,393,500,680,
450,243,631,982,496,758,412,612,161,107,637,365,306,857,144,401,116,945,747,
277,340,273,752,108,811,757,629,554,725,538,256,654,523,811,952,995,500,857,
206,350,524,238,559,788,825,929,187,056,999,280,219,799,931,498,140,671,964,
017,475,471,622,078,298,752,895,734,724,920,456,897,229,856,070,260,451,985,
495,728,389,545,491,914,419,985,124,129,405,073,255,258,721,824,402,687,216,
920,871,639,899,349,544,620,860,762,985,091,168,159,277,865,065,394,030,061,
277,111,845,487,198,887,845,655,632,678,709,472,276,384,170,410,863,142,352,
247,144,143,265,328,647,242,518,397,480,612,278,004,131,372,896,693,432,788,
593,561,709,169,801,260,663,671,969,757,865,082,903,423,307,613,597,206,691,
286,622,141,785,289,875,285,515,637,167,024,771,496,435,970,226,320,313,360,
401,125,989,837,032,741,493,210,395,310,618,247,190,186,122,278,882,264,005,
725,138,690,977,595,878,098,539,738,215,155,879,313,290,058,086,656,209,562,
642,037,734,353,365,530,340,993,247,310,996,620,899,139,154,704,587,261,947,
169,936,443,949,269,074,539,882,748,406,407,778,878,682,239,618,219,470,928,
603,167,879,266,671,594,612,645,058,868,411,684,290,461,880,115,396,164,829,
919,484,628,456,117,714,142,940,024,997,389,056,194,725,297,004,577,076,294,
872,436,164,314,287,863,652,909,310,283,844,693,632,090,585,439,119,382,037,
621,097,407,306,114,823,126,952,171,960,554,239,348,703,507,190,047,805,351,
093,143,791,030,095,574,320,168,521,826,287,910,704,446,476,133,665,928,108,
531,407,192,564,133,776,818,811,272,170,203,994,479,217,844,986,438,141,990,
606,716,906,353,622,763,335,164,010,290,832,136,979,877,428,711,449,363,694,
606,517,371,409,074,873,943,901,765,467,879,603,822,013,211,970,550,175,019,
859,704,437,814,327,681,874,187,600,277,075,396,230,743,574,206,957,081,220,
312,600,404,972,454,777,715,358,339,919,153,178,890,680,967,524,234,206,794,
410,665,722,983,811,716,046,829,775,933,334,571,289,468,390,708,149,824,517,
740,023,386,502,582,687,964,626,422,949,612,746,211,148,976,641,860,551,812,
298,437,958,959,150,214,944,668,613,091,181,443,285,569,447,095,037,193,088,
201,133,008,386,368,699,989,143,357,469,569,103,819,070,549,879,253,025,200,
301,566,158,086,198,461,592,644,770,330,021,950,089,805,063,807,103,316,818,
547,244,729,863,747,626,222,288,470,563,779,218,597,477,424,583,812,375,844,
047,299,558,162,043,595,063,280,102,907,583,292,523,292,009,155,257,807,207,
416,615,080,965,286,340,670,234,397,830,773,481,069,318,773,878,044,244,364,
131,357,237,994,389,459,045,340,593,715,847,889,843,577,447,221,765,681,861,
592,963,985,191,854,443,227,539,400,298,512,096,676,135,636,542,780,410,249,
208,306,311,227,114,655,248,664,388,039,341,554,061,112,053,084,196,062,454,
205,167,067,807,698,852,141,099,733,046,737,857,169,689,015,724,850,071,304,
098,735,901,575,530,910,125,002,241,799,843,859,019,220,764,449,231,126,249,
031,993,009,893,277,327,800,923,968,381,184,450,261,939,120,996,959,027,383,
452,717,284,743,067,562,119,720,229,010,927,828,308,789,426,878,342,362,651,
909,687,004,894,038,955,320,211,089,548,478,757,083,968,654,549,466,373,176,
210,401,502,249,318,311,440,376,916,157,638,491,436,913,822,330,352,889,799,
009,467,856,756,340,534,773,268,347,919,216,867,032,755,816,176,273,968,816,
787,749,387,849,292,091,398,299,488,696,201,627,384,022,464,364,528,333,285,
107,478,566,134,000,171,387,631,910,174,837,675,809,027,305,953,599,354,740,
343,250,863,095,821,822,805,833,285,019,255,841,931,400,218,664,190,156,338,
668,260,644,208,489,215,271,858,564,919,560,527,047,810,934,997,815,922,260,
120,654,268,962,054,789,444,615,562,741,977,783,624,423,902,335,880,663,344,
648,292,181,453,390,467,522,889,768,037,033,162,692,756,301,462,388,247,162,
458,409,245,278,940,300,730,018,135,587,655,059,513,682,276,580,934,119,809,
616,843,755,435,391,878,047,819,766,745,461,988,416,961,707,455,754,963,683,
937,535,883,301,105,127,941,057,227,537,821,320,543,187,844,042,566,794,733,
379,783,486,574,341,003,342,483,921,316,397,620,223,647,001,728,598,031,335,
588,876,740,760,429,765,375,448,731,056,153,966,329,184,240,632,004,452,836,
476,635,725,191,531,491,963,511,613,139,171,242,111,269,511,402,974,784,833,
836,679,164,174,148,166,709,710,767,144,089,716,777,147,698,706,967,527,313,
796,208,081,629,335,062,671,091,801,035,130,386,365,267,954,860,189,021,291,
405,158,058,464,094,455,071,614,180,567,023,221,087,714,028,371,437,274,896,
300,057,272,024,028,715,119,358,202,180,928,345,083,444,598,836,474,868,815,
951,349,416,293,587,605,477,340,246,537,303,271,247,979,793,252,934,846,603,
392,622,720,759,977,220,923,833,145,748,590,415,208,024,383,827,351,484,027,
869,160,606,916,714,396,199,658,264,364,435,993,160,336,925,652,372,940,143,
575,210,398,437,346,872,416,381,883,705,818,620,055,944,241,419,867,880,508,
338,419,142,439,746,362,866,657,546,582,598,402,959,853,235,216,203,499,303,
247,611,353,704,718,509,659,960,303,349,530,198,059,386,689,605,029,922,394,
707,238,332,463,582,050,287,919,468,557,941,804,330,004,229,768,970,191,502,
603,909,332,505,460,071,618,813,828,039,311,138,343,786,077,479,642,921,754,
218,582,072,626,639,397,537,124,600,368,915,280,352,073,729,894,590,364,611,
437,750,833,059,538,465,269,459,177,064,208,833,182,996,491,379,811,242,894,
929,554,928,630,329,252,350,880,156,114,539,797,372,850,416,076,380,342,256,
944,786,969,945,504,955,196,562,556,365,687,754,328,258,992,811,222,837,003,
395,116,843,144,602,861,247,389,384,718,808,787,825,315,814,532,942,964,727,
856,158,779,311,036,252,575,568,084,146,095,343,167,964,620,526,268,173,269,
025,725,599,194,305,000,155,064,506,358,311,401,345,042,798,253,135,883,463,
945,663,135,631,291,851,520,970,029,885,085,987,682,754,139,601,401,559,813,
605,615,875,464,144,581,579,511,656,870,363,081,720,680,498,581,204,124,510,
522,118,363,653,537,372,367,780,018,529,439,897,798,922,396,393,420,563,042,
691,385,066,631,677,656,738,936,373,096,514,257,651,741,143,614,701,230,263,
707,842,507,338,568,226,759,901,758,506,807,559,315,040,621,378,447,528,427,
436,743,635,662,898,840,592,741,831,074,537,364,521,566,269,973,733,854,051,
064,856,948,848,106,987,418,509,961,536,162,373,375,638,182,361,634,732,012,
758,395,882,130,740,085,368,934,428,997,470,608,083,899,195,745,146,242,342,
514,686,319,606,371,850,096,296,133,641,851,559,160,990,142,908,725,187,685,
095,919,454,684,798,877,289,346,717,344,709,166,128,570,849,180,140,906,398,
291,726,818,780,881,878,189,273,836,786,678,300,138,631,596,273,952,279,156,
259,832,629,831,297,631,686,282,601,561,474,210,882,996,952,714,379,374,435,
429,670,762,790,241,962,824,425,201,125,947,584,680,164,156,514,047,163,553,
713,399,361,821,271,004,730,933,966,695,235,869,321,469,586,589,989,803,798,
250,070,805,103,563,433,227,512,259,026,794,311,188,983,833,306,536,415,112,
274,316,513,183,338,763,079,437,169,036,935,854,365,369,056,096,032,884,327,
394,421,568,644,762,576,373,919,880,426,475,042,828,095,336,405,279,852,828,
618,318,622,117,274,329,436,616,254,525,949,380,727,855,880,588,303,374,846,
218,290,312,205,038,788,903,528,163,561,583,476,498,222,887,430,975,120,847,
522,556,965,132,619,433,615,709,270,799,555,593,958,622,665,089,071,649,866,
048,186,459,403,153,153,005,537,855,348,415,856,869,594,919,130,076,252,937,
746,323,443,141,426,677,548,203,967,389,939,981,600,282,903,472,618,142,748,
545,846,275,718,755,467,894,182,075,189,813,223,472,357,044,929,501,051,458,
443,723,461,133,695,430,024,761,646,957,508,725,231,975,686,102,126,452,886,
743,052,829,110,096,252,452,069,596,575,353,571,723,653,895,593,767,099,970,
232,235,227,005,757,658,574,726,758,196,527,956,689,033,993,095,288,009,373,
060,229,130,685,180,958,319,939,235,548,850,432,432,483,962,256,668,074,707,
731,770,490,983,103,400,025,205,235,651,596,646,223,575,823,699,426,792,332,
842,924,222,052,797,560,358,985,315,942,248,747,333,334,620,357,727,459,459,
870,573,337,928,639,963,899,475,718,941,513,638,123,570,164,657,481,379,109,
737,417,020,596,275,179,457,835,948,096,268,101,939,260,375,333,788,508,442,
697,043,995,492,411,391,566,279,231,803,481,627,957,162,062,755,655,465,641,
048,574,656,251,027,218,744,104,446,811,477,661,720,675,037,371,720,029,434,
800,012,149,769,375,771,996,684,674,363,597,248,089,631,688,719,829,409,210,
609,912,906,087,952,199,226,480,759,507,479,868,486,222,598,496,483,306,536,
899,563,881,871,360,963,480,255,876,663,426,726,295,806,785,294,072,888,201,
733,030,512,867,301,447,485,639,139,400,442,495,898,121,855,815,554,422,058,
521,080,467,933,486,577,456,231,647,297,528,378,868,034,298,778,385,008,610,
843,450,743,163,257,897,685,945,091,339,610,371,852,101,529,321,519,968,596,
204,495,868,799,833,043,366,770,995,278,375,724,209,362,412,417,995,303,326,
165,382,305,820,863,423,349,679,637,353,982,071,176,817,809,181,708,319,304,
996,910,801,104,536,673,443,734,639,744,973,587,466,735,296,054,959,846,007,
707,833,500,744,797,350,244,927,875,850,561,272,252,966,503,267,439,130,861,
656,733,239,282,906,212,330,712,877,265,746,418,951,309,197,900,862,437,161,
787,784,825,777,586,939,517,795,026,341,133,916,878,103,483,451,697,471,806,
653,599,535,715,826,555,776,511,782,161,172,251,304,185,662,378,626,834,920,
055,729,811,594,119,290,645,085,838,148,839,835,663,995,068,922,548,310,360,
465,398,545,594,469,332,492,939,205,936,944,232,945,714,279,661,955,499,313,
784,074,029,254,552,124,114,116,892,959,370,520,365,805,936,931,254,738,820,
345,512,700,665,985,453,183,139,070,308,357,708,710,507,578,411,361,851,257,
111,865,715,013,540,037,605,836,979,944,881,204,872,193,483,846,663,443,750,
624,162,668,459,521,357,883,098,995,488,151,077,306,961,468,629,315,996,207,
085,171,315,836,296,807,549,866,244,174,057,599,847,484,553,763,807,222,672,
626,165,623,678,513,207,165,880,847,211,204,396,886,475,547,944,043,517,784,
424,611,179,345,439,739,259,838,885,149,566,299,916,000,712,083,853,201,132,
816,487,685,389,939,160,560,667,685,927,819,727,589,841,923,079,940,267,143,
618,396,091,618,986,963,880,893,288,167,242,323,596,634,658,969,971,625,926,
453,863,848,752,349,142,594,346,755,541,602,796,813,500,434,112,785,057,057,
459,129,002,268,730,272,170,556,622,566,078,676,441,403,890,771,234,434,853,
466,972,149,648,957,482,527,196,518,546,954,366,045,689,560,889,446,522,480,
406,864,147,639,987,445,162,815,409,408,304,189,451,219,343,222,975,364,898,
069,095,249,332,487,215,966,240,564,329,831,834,271,510,747,227,902,986,355,
542,394,508,791,856,469,400,289,274,167,093,114,373,805,768,632,639,256,491,
613,540,402,192,497,767,499,584,690,234,607,850,007,208,266,762,154,060,557,
225,339,158,907,293,022,885,841,210,112,428,304,539,966,999,691,109,584,815,
424,918,671,823,402,495,676,989,260,211,770,572,125,236,457,932,503,443,646,
704,410,731,281,096,800,150,868,417,483,333,824,000,383,942,676,542,893,605,
052,428,689,747,073,831,757,060,740,084,267,672,800,951,316,157,850,557,843,
924,899,620,802,963,362,836,547,796,456,769,137,030,452,216,324,244,200,848,
614,454,535,210,831,747,455,315,329,756,662,639,757,181,685,979,240,701,808,
353,658,261,117,693,374,586,783,096,997,282,845,191,403,366,437,021,486,208,
368,180,698,382,592,712,498,238,599,293,381,154,640,554,341,973,461,255,347,
923,982,140,109,319,029,829,510,726,296,582,929,770,124,153,465,393,047,664,
080,434,988,314,119,562,005,285,681,349,051,869,055,665,702,351,925,638,205,
170,822,343,519,729,867,933,436,411,016,418,715,002,992,945,861,741,851,918,
833,992,644,477,173,576,375,650,125,450,149,573,062,332,703,186,834,440,173,
974,094,892,337,460,440,743,330,106,437,837,141,062,376,774,655,396,543,846,
579,947,043,010,443,236,794,583,258,624,942,786,662,158,044,977,224,140,363,
045,694,675,744,752,339,605,302,485,343,451,980,090,597,144,726,017,054,861,
688,880,906,783,815,115,904,622,865,744,914,965,633,347,039,574,737,569,996,
662,363,869,728,129,668,965,632,158,749,915,320,362,731,735,590,001,406,980,
916,166,760,761,285,835,126,837,702,893,571,607,510,262,234,158,278,820,481,
863,352,127,771,281,908,314,339,537,486,794,673,187,930,619,203,184,699,856,
222,787,453,491,820,687,024,300,890,363,598,607,916,070,853,620,968,454,170,
794,534,698,523,340,686,035,518,552,121,810,972,165,099,884,584,371,555,659,
331,966,647,354,820,698,251,310,395,429,536,706,167,185,940,610,962,074,163,
968,032,632,411,552,433,383,801,714,830,941,571,387,955,718,226,092,430,493,
531,534,687,669,907,502,436,296,837,572,352,175,112,503,888,503,969,480,732,
979,710,844,453,048,144,870,225,104,224,464,599,465,342,635,981,641,178,311,
698,723,720,331,972,795,850,348,326,166,218,411,195,497,108,393,371,061,786,
600,343,942,215,498,698,592,327,541,903,729,639,457,925,127,043,957,618,835,
456,664,333,219,550,223,007,452,776,328,961,782,013,226,024,617,073,184,691,
630,273,052,519,827,315,421,517,420,929,130,070,667,560,163,160,546,647,085,
643,145,403,166,216,128,389,246,447,383,246,027,038,492,564,854,407,513,714,
095,486,261,010,450,809,998,816,748,124,278,810,701,929,011,929,393,268,109,
966,496,792,866,639,427,678,051,798,808,558,401,856,445,413,109,949,646,339,
908,396,352,383,239,005,254,760,491,960,890,713,359,407,069,935,579,325,502,
930,812,831,488,303,305,173,848,521,267,111,579,863,182,449,615,446,519,640,
552,762,156,077,393,098,593,124,862,167,564,724,276,452,002,376,458,735,470,
589,444,896,042,839,765,844,509,481,441,750,355,841,626,977,494,749,012,299,
214,206,727,153,139,295,761,644,336,991,037,539,359,811,800,929,401,328,030,
247,885,647,767,693,289,902,942,874,555,417,610,139,711,959,332,033,349,062,
264,112,259,814,784,055,510,354,930,265,809,929,608,804,592,430,617,011,946,
874,225,221,003,424,242,888,069,240,826,290,718,257,281,529,330,101,999,635,
889,565,305,566,624,729,007,904,291,533,834,698,704,193,312,628,756,970,693,
632,759,086,622,451,784,485,627,615,753,402,531,418,435,748,740,294,402,917,
830,631,272,264,257,350,307,277,547,994,286,468,493,316,231,423,819,075,720,
020,164,522,016,995,444,175,184,643,515,461,735,319,625,350,092,674,425,500,
064,832,711,045,606,518,600,705,922,369,126,362,321,675,517,988,750,382,733,
022,601,220,521,710,864,217,884,871,732,114,944,104,294,477,666,506,601,644,
163,292,802,091,114,626,269,056,782,797,732,126,912,663,673,252,547,563,116,
143,864,920,450,099,797,831,363,388,903,015,658,749,880,835,107,245,674,804,
617,374,435,324,919,484,433,627,300,377,309,344,603,558,345,170,663,424,546,
847,015,801,803,126,174,087,059,671,929,001,133,913,183,412,794,383,956,315,
844,933,079,537,487,618,747,105,191,678,789,058,417,409,712,357,864,198,874,
558,619,830,213,767,077,972,119,267,181,483,151,253,790,914,755,229,234,129,
684,452,795,055,804,315,608,131,544,820,950,142,559,288,802,988,948,809,501,
326,846,137,805,039,772,172,366,249,183,470,514,059,968,360,894,793,591,605,
593,757,852,123,305,838,763,221,813,720,103,940,903,056,338,131,650,449,158,
013,227,487,662,380,110,846,659,529,523,833,809,231,287,028,546,713,630,024,
093,005,093,964,960,411,950,698,177,013,117,589,490,870,468,021,797,108,513,
640,305,259,616,524,056,356,722,963,973,848,471,977,475,722,072,257,009,162,
765,604,675,093,270,240,234,963,236,242,729,381,820,513,311,608,895,541,597,
557,866,200,327,862,383,160,447,901,670,260,177,175,930,393,941,956,527,759,
695,395,020,500,633,868,918,700,279,432,071,658,098,507,280,105,941,143,530,
020,493,338,238,120,737,635,114,349,370,302,472,984,409,892,176,781,947,750,
236,825,002,535,326,556,593,783,093,420,486,887,736,517,696,284,879,564,990,
899,274,206,862,597,833,486,605,966,686,024,313,263,518,479,019,380,204,247,
076,171,619,113,466,384,022,689,773,709,496,898,309,516,357,124,796,321,714,
848,672,654,149,583,615,039,378,035,000,304,531,408,164,710,797,824,214,356,
789,147,545,845,382,991,724,942,567,152,771,114,680,442,043,128,825,235,979,
500,504,913,507,930,473,293,127,242,046,258,566,629,572,732,621,027,756,244,
166,523,021,605,725,773,275,762,955,129,069,530,127,580,953,118,704,600,576,
230,679,715,571,350,816,505,530,875,929,261,362,831,423,543,775,708,153,953,
073,972,462,293,808,067,914,020,099,783,222,647,987,400,649,146,075,352,358,
537,037,131,618,606,399,140,028,454,015,708,200,747,100,335,881,119,972,769,
299,171,431,621,498,064,040,735,999,243,035,798,506,863,782,356,805,590,785,
073,144,916,435,179,705,716,554,651,214,157,795,688,679,398,905,314,062,256,
309,337,504,909,064,205,738,573,178,036,425,623,381,543,471,725,146,164,912,
494,881,875,310,710,298,881,525,690,545,099,340,364,121,759,332,098,379,265,
855,911,324,503,406,580,389,318,998,966,197,977,051,127,253,514,822,013,543,
618,227,627,278,465,678,100,161,123,062,691,979,703,011,189,785,630,475,181,
607,797,798,347,678,413,961,477,420,533,399,431,060,827,240,748,069,076,220,
471,553,370,529,318,895,257,574,437,971,223,665,755,965,038,475,212,605,781,
796,028,377,470,175,665,186,975,711,939,354,417,200,928,098,868,663,658,715,
062,590,977,961,604,882,603,269,271,812,754,636,292,324,528,037,810,698,506,
601,422,026,471,632,214,734,057,470,732,688,581,493,213,461,079,501,241,841,
913,196,484,741,093,935,610,856,627,501,887,474,634,687,929,827,277,073,445,
528,655,022,491,635,255,230,795,868,918,816,114,317,184,659,519,427,073,027,
023,884,572,418,250,044,309,029,078,397,445,908,842,712,428,716,400,142,092,
460,521,247,720,396,116,115,917,022,590,582,866,331,842,256,579,284,107,430,
074,094,083,473,021,680,320,583,388,727,775,799,851,657,500,251,755,479,131,
702,258,575,999,912,818,993,621,091,351,151,307,842,136,182,083,419,373,541,
413,150,782,027,009,706,356,538,380,120,567,558,792,053,907,826,827,248,636,
485,151,738,435,014,954,686,263,361,082,670,734,225,186,210,673,688,108,394,
856,383,973,243,561,382,060,529,335,647,391,024,066,628,929,470,227,643,919,
985,489,658,692,722,271,551,934,075,435,124,828,228,010,630,468,818,390,039,
340,331,237,059,023,550,468,260,596,002,296,096,623,542,374,692,589,130,156,
180,689,180,719,224,446,571,959,982,900,820,609,238,205,398,106,792,864,308,
276,907,488,080,633,370,135,778,140,990,421,275,780,628,441,749,878,388,763,
386,265,297,226,313,714,598,727,095,526,207,031,430,931,863,146,041,440,775,
530,186,435,828,062,172,656,328,929,397,625,723,889,981,287,395,242,765,746,
578,250,730,446,833,056,076,962,958,339,038,682,677,360,917,144,355,827,418,
957,645,356,482,518,298,005,641,951,014,002,675,025,302,527,051,763,613,200,
678,887,567,902,246,576,529,258,979,859,576,202,750,334,492,868,617,895,598,
320,901,120,721,127,324,133,431,191,441,044,112,220,412,225,543,068,581,549,
785,036,073,422,901,145,281,693,690,966,420,255,520,507,920,061,718,349,735,
950,230,095,908,591,537,471,942,770,802,041,664,048,876,457,645,891,260,167,
996,078,967,185,044,382,988,662,165,729,966,062,504,094,408,821,367,608,884,
867,901,204,463,712,655,689,750,387,340,808,629,059,264,749,172,379,407,346,
322,086,222,166,315,164,352,223,226,108,712,104,709,183,899,481,051,220,362,
840,756,282,085,634,355,484,549,222,838,074,510,559,125,839,983,815,215,963,
629,480,748,670,058,232,018,861,916,016,564,131,966,163,102,730,353,330,852,
044,633,339,030,781,661,368,368,281,565,542,677,682,730,673,397,387,043,924,
207,093,710,101,553,257,279,471,069,735,264,476,548,903,440,312,125,746,347,
326,208,469,608,396,396,577,397,079,932,181,413,097,814,238,109,651,034,199,
198,388,960,721,260,106,324,925,614,179,763,488,105,249,086,163,519,373,167,
967,211,628,008,210,638,286,818,845,414,168,721,347,976,170,878,183,148,091,
442,867,919,589,663,978,611,212,160,104,810,150,746,674,416,348,278,009,854,
338,933,876,634,351,456,977,029,435,290,781,838,807,622,909,069,297,978,668,
275,086,756,124,356,856,560,513,138,639,540,165,759,361,250,030,086,241,693,
219,754,284,290,687,164,156,959,973,522,588,260,841,736,205,432,329,942,172,
996,018,731,547,815,659,617,386,303,821,445,438,131,133,702,037,216,278,668,
075,649,793,881,072,366,096,199,556,960,814,483,295,756,934,535,889,551,061,
686,916,076,187,953,115,417,893,070,426,932,348,634,324,570,298,686,309,753,
444,213,488,125,175,959,285,409,143,657,093,836,279,276,829,261,718,070,516,
085,676,044,061,222,995,722,622,667,998,550,044,468,889,442,440,423,031,613,
550,786,056,587,251,784,721,668,001,171,678,871,113,119,541,945,773,218,464,
294,561,294,186,121,724,178,590,913,476,274,070,194,264,901,158,813,069,485,
556,311,220,535,106,145,224,424,319,968,566,338,179,894,201,542,394,346,658,
360,964,261,877,290,676,923,290,295,245,980,439,215,491,731,415,466,365,647,
475,876,121,267,171,767,364,556,707,490,372,930,841,858,702,163,371,234,706,
726,529,174,105,967,097,464,816,347,208,149,004,570,892,047,856,549,744,325,
057,598,153,748,390,379,112,106,403,036,917,048,326,722,984,598,167,001,801,
882,405,130,103,213,218,597,394,151,231,568,064,345,517,619,564,306,901,063,
961,082,610,095,828,908,374,271,167,903,084,141,311,377,290,036,915,244,416,
873,947,803,474,719,756,725,416,590,887,145,615,773,863,464,721,808,417,216,
293,296,057,293,390,555,359,096,122,851,566,835,461,232,604,663,910,497,622,
973,749,785,897,140,897,755,810,681,370,295,955,641,928,604,506,252,162,515,
018,071,767,930,899,380,259,542,882,027,366,248,904,803,393,936,786,398,990,
913,236,257,340,392,644,742,499,545,355,718,400,776,377,518,375,583,678,612,
512,312,024,617,415,139,500,954,434,225,972,621,016,318,971,920,643,973,708,
793,271,105,026,790,036,518,407,816,737,805,950,508,847,836,115,734,025,295,
674,972,346,885,857,626,069,633,388,922,661,358,903,301,963,291,031,898,971,
790,741,318,109,767,157,950,915,861,587,337,635,707,927,918,194,589,876,042,
606,063,317,304,805,463,365,522,616,137,941,053,111,069,282,559,503,195,546,
635,027,711,392,882,133,706,960,461,145,021,176,217,914,572,593,047,533,629,
131,348,576,726,433,439,950,920,605,341,297,690,159,494,843,405,842,230,119,
410,072,848,507,066,114,661,248,294,002,827,381,609,121,665,883,534,589,138,
932,965,532,029,234,593,910,387,783,182,923,677,397,043,397,519,131,791,215,
403,991,835,439,771,138,360,843,044,870,946,329,652,267,620,056,358,960,781,
971,817,158,972,271,921,139,044,754,847,765,758,258,653,250,835,831,359,460,
341,940,959,444,588,579,060,016,581,039,353,895,639,984,025,595,058,732,182,
468,323,132,212,350,532,168,551,645,298,860,500,399,143,653,907,457,890,871,
386,745,478,296,344,692,021,285,805,385,587,828,862,821,018,117,862,526,459,
186,847,628,946,270,937,357,619,450,588,499,316,052,982,222,393,340,870,027,
384,140,567,253,659,426,012,764,648,973,845,582,576,383,354,487,121,920,186,
836,786,908,729,236,270,985,936,372,270,082,537,496,017,568,988,717,164,244,
210,970,513,977,005,547,787,479,446,602,489,274,619,028,561,898,639,251,807,
993,087,455,974,884,317,063,282,654,281,378,246,600,199,638,701,610,717,186,
853,608,064,958,538,286,398,030,316,833,209,584,733,621,433,737,599,949,494,
252,352,004,203,835,032,815,910,054,824,866,550,977,741,022,487,734,708,558,
004,009,832,925,646,173,045,068,470,625,457,826,222,289,402,866,581,701,446,
772,553,697,503,371,097,215,751,002,614,188,951,988,394,542,245,755,231,550,
501,404,627,437,479,710,993,270,531,154,418,346,250,537,916,895,245,287,210,
051,418,216,092,221,060,850,352,154,442,959,410,768,811,657,980,587,822,481,
841,762,092,050,948,030,519,131,017,063,324,115,744,476,255,385,631,434,192,
869,512,655,191,964,904,097,600,651,554,410,965,078,032,076,365,751,008,586,
083,012,721,223,283,010,440,091,550,155,028,999,061,514,505,253,647,498,282,
033,494,624,365,518,646,444,518,049,507,907,665,369,530,832,209,197,718,443,
430,149,406,717,492,197,934,880,304,214,669,470,930,904,551,257,777,789,013,
689,229,841,293,118,765,841,343,844,491,850,673,577,730,459,226,723,843,866,
890,409,332,348,719,613,059,748,952,649,983,979,350,714,428,355,262,252,895,
092,219,766,840,932,737,513,298,002,672,568,543,263,959,162,007,939,970,357,
667,423,093,786,257,864,622,441,219,022,598,034,990,886,250,980,935,648,971,
709,911,001,795,375,020,226,404,440,115,437,594,577,746,123,400,971,073,062,
043,506,389,481,280,163,905,638,515,346,650,786,035,360,191,878,213,079,493,
958,854,445,239,652,833,734,701,012,205,948,252,268,707,344,711,119,672,504,
729,237,237,118,148,461,913,594,310,340,094,383,918,773,169,293,848,767,965,
686,291,484,389,427,185,638,099,103,781,403,620,093,053,663,376,012,108,319,
832,025,648,958,470,850,449,593,454,449,505,479,240,291,905,896,939,330,588,
775,585,190,098,211,728,890,497,994,345,889,766,969,531,071,560,067,252,070,
399,453,602,456,064,021,266,792,581,155,739,952,288,085,781,868,831,132,493,
711,274,012,929,433,976,719,673,273,636,728,932,053,984,546,269,397,661,592,
090,990,323,174,273,502,894,464,901,243,076,422,272,362,160,449,572,620,692,
298,295,503,723,638,776,009,100,957,772,166,973,069,969,953,057,517,237,946,
148,981,846,121,175,426,261,582,762,700,313,867,565,387,367,828,349,240,581,
161,675,425,156,749,021,789,453,025,009,105,005,878,610,016,548,026,312,994,
654,184,087,937,461,926,606,233,017,842,390,436,110,837,454,275,538,644,185,
572,355,717,362,312,676,699,899,915,607,326,941,322,498,239,428,132,431,263,
212,952,066,079,753,424,729,536,626,802,385,304,268,303,759,716,476,074,674,
347,041,724,760,350,683,479,246,840,902,402,975,640,782,460,904,845,585,698,
515,175,451,553,201,699,163,247,188,338,823,529,004,682,795,257,028,002,931,
539,726,836,676,337,945,095,321,367,013,644,055,570,664,520,945,006,885,416,
357,641,986,256,492,638,240,775,443,222,602,863,219,768,705,391,036,858,841,
604,287,169,650,039,930,314,477,829,276,608,191,122,415,330,407,866,932,427,
877,085,247,569,821,233,843,190,918,966,258,431,369,693,689,333,839,946,588,
476,924,105,896,551,926,716,870,823,037,738,306,929,710,227,941,594,056,251,
297,983,814,003,079,804,177,771,786,242,149,394,749,416,226,761,142,425,392,
233,960,983,803,009,716,791,486,500,018,974,506,367,893,163,587,180,222,871,
565,871,576,140,398,598,382,653,199,345,773,539,990,474,731,652,576,867,840,
989,900,869,279,540,072,443,482,772,666,218,447,629,587,134,782,142,659,887,
032,731,737,825,432,100,458,061,335,238,349,593,259,996,206,738,909,292,448,
937,882,542,641,610,177,087,685,129,972,732,978,200,978,474,100,303,283,784,
705,089,926,992,546,176,061,279,567,014,448,624,662,876,360,062,252,781,023,
885,727,539,317,511,394,882,056,121,087,154,848,776,743,348,749,402,927,693,
815,975,316,210,615,667,715,610,746,651,629,799,706,646,216,693,206,389,771,
186,117,523,647,866,994,471,609,065,679,980,171,839,179,146,423,392,967,947,
465,347,000,081,948,648,175,285,975,975,823,738,225,060,030,411,058,611,872,
923,574,754,252,719,403,223,957,015,804,946,818,410,451,133,839,338,179,099,
089,660,860,210,513,834,217,714,881,621,630,792,508,580,037,756,786,195,417,
180,983,174,663,952,995,679,084,399,720,930,657,608,188,947,886,377,168,647,
743,417,707,781,771,748,020,664,596,164,253,546,484,373,160,483,893,588,173,
247,076,711,841,055,006,326,831,101,914,176,428,594,147,207,866,107,945,329,
612,163,422,738,956,834,245,983,410,377,883,119,597,730,677,757,725,549,386,
602,287,356,353,462,257,626,231,983,293,156,486,857,951,415,688,820,222,616,
681,967,800,713,374,483,884,774,189,303,348,850,901,058,541,593,730,220,158,
439,235,071,920,878,185,752,049,450,674,947,853,980,750,218,017,989,486,118,
539,558,404,206,151,934,003,214,905,693,620,636,061,820,872,008,625,029,456,
922,213,440,828,952,227,648,456,218,305,008,184,622,355,916,720,531,522,068,
287,632,433,420,193,622,851,242,871,938,320,734,575,115,006,312,960,042,248,
790,522,179,553,343,515,825,025,507,596,376,268,051,307,430,901,554,439,856,
992,798,027,455,930,695,792,186,941,720,928,664,937,977,879,960,330,519,540,
788,268,392,997,603,470,365,244,290,966,008,617,470,957,730,097,985,886,541,
753,090,892,707,415,379,406,362,237,512,417,285,221,607,000,608,711,644,877,
368,048,785,443,948,127,928,065,333,048,901,068,311,244,902,369,356,735,916,
318,169,685,883,454,883,109,592,499,394,923,722,434,920,522,438,143,970,635,
062,615,193,268,550,039,809,565,591,572,475,785,542,552,976,687,185,367,706,
007,153,291,922,155,579,678,944,440,303,437,316,395,644,388,520,172,898,396,
429,324,537,636,216,386,946,977,057,419,349,122,756,870,439,337,704,975,209,
278,170,641,093,879,029,298,987,905,979,702,972,856,953,365,203,971,606,818,
796,069,810,802,994,672,923,197,958,486,811,325,045,387,032,874,518,543,397,
642,423,498,716,473,138,982,283,612,247,105,124,511,661,178,794,566,687,895,
946,327,514,707,716,982,631,370,872,664,925,275,043,353,451,950,908,471,690,
926,175,720,310,240,591,853,384,921,523,337,565,457,080,820,707,153,077,145,
127,331,910,248,193,945,069,144,755,600,431,397,630,353,686,785,822,812,804,
691,357,987,911,246,851,357,659,178,912,600,636,289,202,593,673,982,134,808,
124,340,549,007,730,133,065,594,570,151,019,680,116,832,596,929,895,987,253,
941,014,273,620,252,291,009,828,395,127,415,011,166,012,671,210,531,613,037,
392,731,595,103,798,644,541,008,979,289,581,829,127,885,729,171,466,191,594,
464,859,105,163,060,194,111,896,644,020,600,055,965,548,004,633,739,837,710,
501,173,702,275,485,392,939,868,981,342,242,340,296,535,733,674,410,232,237,
795,114,542,688,623,827,601,681,617,244,526,442,582,319,677,724,057,061,294,
476,402,507,128,273,148,923,507,195,150,465,690,344,593,652,802,506,802,263,
940,904,716,849,711,999,161,846,380,598,411,294,270,935,339,106,125,494,737,
524,242,279,399,837,153,258,167,043,155,579,549,936,112,655,714,842,951,076,
424,308,472,787,165,598,329,045,505,833,420,780,006,150,781,983,114,661,403,
700,123,023,823,248,517,464,801,053,453,574,301,279,839,758,243,542,126,348,
467,469,133,625,920,374,327,481,745,473,207,355,457,952,535,771,266,782,395,
695,550,935,647,599,231,758,391,723,510,944,226,518,750,823,136,505,514,296,
597,623,203,073,841,612,500,580,670,162,447,848,545,705,252,717,989,132,228,
394,032,897,323,422,874,154,602,822,471,004,262,701,269,000,214,818,519,506,
460,407,795,629,925,066,164,443,826,218,670,941,034,053,028,783,506,517,945,
985,116,282,026,889,396,310,034,572,113,401,001,980,937,901,962,177,685,626,
892,229,378,418,850,465,696,707,679,965,646,411,425,012,144,329,425,414,501,
189,447,166,232,077,643,657,278,979,435,772,628,558,275,949,132,427,040,503,
797,037,045,591,307,369,775,139,877,958,519,770,609,186,674,277,283,778,274,
295,602,918,564,630,000,335,462,543,360,084,343,718,690,004,806,526,053,031,
530,266,397,432,162,491,733,125,293,890,288,095,963,820,499,527,118,041,159,
669,536,913,911,363,214,249,351,771,842,545,228,408,263,228,318,065,486,093,
473,879,455,469,916,604,963,207,492,908,403,816,300,906,795,847,561,427,113,
259,569,282,441,772,010,852,475,792,416,118,351,968,242,576,559,079,875,844,
524,611,924,504,676,469,920,074,083,178,118,946,285,168,080,753,375,603,098,
871,460,693,237,858,930,937,083,641,181,745,969,248,978,217,608,173,010,490,
097,004,671,647,420,408,401,014,315,663,765,431,243,585,927,983,657,839,056,
574,709,744,888,846,407,992,582,639,786,708,770,941,658,142,784,888,787,583,
055,342,845,018,735,194,474,423,618,133,547,786,787,549,468,091,561,716,471,
539,003,813,060,140,078,461,488,731,232,917,269,379,403,044,948,534,565,563,
555,446,202,920,827,880,083,997,793,790,579,157,182,596,675,869,493,264,079,
409,540,933,872,559,358,399,747,491,012,898,741,854,145,508,572,974,447,418,
576,846,834,104,892,201,923,192,798,648,170,609,117,932,240,806,953,022,417,
040,443,217,155,237,925,110,793,903,710,783,513,445,174,085,020,505,486,804,
219,374,517,848,358,328,073,834,494,006,870,711,483,154,503,571,920,135,620,
665,698,778,762,063,578,533,728,654,339,384,577,641,790,610,717,726,230,348,
508,359,860,752,462,109,671,006,172,289,389,891,389,425,547,562,659,292,740,
416,095,652,629,646,053,729,371,814,038,028,444,603,149,305,814,755,757,169,
556,521,910,725,302,067,422,011,054,365,253,140,685,503,889,312,365,455,071,
486,571,424,351,995,136,736,114,948,028,868,144,507,548,320,514,562,558,345,
239,761,425,040,327,872,300,150,042,062,448,678,481,838,004,140,937,395,737,
959,374,115,276,004,067,372,165,905,844,144,344,035,468,116,255,945,345,346,
876,454,364,145,412,544,659,488,967,196,882,946,058,368,468,165,956,707,362,
417,451,476,585,292,858,231,155,568,330,212,827,674,996,928,512,137,731,271,
973,109,726,005,573,450,585,913,837,210,323,442,595,418,560,772,190,584,969,
785,355,886,842,760,425,911,793,079,773,627,439,984,461,933,546,720,591,763,
286,114,448,796,405,511,973,613,268,972,511,982,032,330,259,143,714,722,575,
931,646,716,063,927,187,967,888,070,815,087,849,827,808,200,651,806,893,648,
025,865,246,263,116,442,448,052,004,766,407,235,753,038,803,246,772,999,002,
282,405,319,872,341,003,028,690,621,514,488,942,742,181,516,602,533,590,892,
179,651,525,208,123,345,608,419,294,880,198,245,714,114,932,909,777,270,190,
886,761,611,633,932,673,153,842,764,785,707,203,953,565,670,640,264,630,265,
381,006,461,025,099,078,795,277,041,632,055,118,625,076,454,945,073,554,027,
225,850,342,674,504,510,718,241,668,976,569,923,906,833,536,513,560,897,496,
922,728,433,454,977,109,921,007,786,581,138,157,624,726,792,203,429,349,607,
936,274,686,832,292,518,969,645,360,714,134,328,218,127,322,972,425,816,905,
040,907,535,335,761,253,521,643,245,889,158,249,747,953,696,465,358,007,540,
059,426,541,009,197,612,735,786,396,556,401,578,620,117,384,943,819,754,388,
317,957,800,437,863,333,821,419,858,620,616,179,521,339,390,589,789,897,873,
028,118,756,117,625,353,184,038,725,227,866,057,294,335,194,526,602,124,074,
574,027,625,711,961,496,040,114,497,615,497,734,749,324,292,201,379,305,802,
630,090,923,775,365,836,616,159,120,255,459,849,234,846,953,843,861,501,583,
434,320,456,322,500,345,692,086,906,747,517,924,028,181,102,052,311,167,550,
579,007,242,972,558,154,536,221,962,468,962,259,446,402,899,311,436,173,129,
432,233,103,449,216,957,341,053,150,668,092,895,100,643,352,803,086,085,266,
319,489,347,841,891,087,476,873,041,734,989,874,457,666,842,756,294,709,331,
248,942,985,978,751,163,905,152,178,175,524,812,109,675,088,402,820,937,289,
722,144,885,566,544,181,079,103,008,146,742,638,712,952,246,267,701,963,695,
459,511,657,231,483,505,571,165,909,635,210,150,758,152,343,633,097,681,552,
138,699,543,335,180,663,453,782,121,922,850,768,961,870,144,593,045,100,655,
335,056,805,428,636,782,171,939,525,782,272,970,438,064,329,795,826,062,012,
030,933,894,618,766,102,909,508,774,298,164,319,874,371,268,047,586,998,712,
473,105,584,439,942,661,756,244,365,114,665,481,562,730,209,616,327,084,497,
515,677,051,599,937,758,974,236,623,720,551,334,003,332,797,485,639,633,666,
795,349,948,374,671,429,497,095,408,016,063,350,511,111,464,718,990,365,687,
092,850,115,032,911,013,214,390,053,855,169,861,405,736,802,916,169,058,094,
100,879,972,003,668,558,697,490,302,303,841,082,467,071,527,586,211,434,367,
567,722,176,930,514,751,125,306,716,076,864,528,113,196,451,539,791,121,451,
441,560,964,969,673,403,991,897,818,333,487,460,591,064,559,099,280,828,199,
569,641,261,597,007,771,519,064,597,150,553,346,080,286,510,382,958,303,045,
455,332,418,523,910,919,847,281,545,860,580,235,518,691,777,464,141,889,844,
173,322,627,414,404,832,508,131,328,839,794,775,297,552,902,148,545,296,695,
593,599,020,944,777,506,352,171,347,418,814,095,811,189,913,814,498,971,726,
813,022,253,038,249,603,969,169,316,922,443,532,508,921,451,624,628,756,138,
953,073,176,969,930,744,205,218,420,765,240,248,388,967,498,582,137,054,770,
500,939,766,366,227,325,437,593,689,668,027,222,382,013,297,550,382,803,199,
862,066,050,765,966,928,359,172,265,404,668,507,791,140,236,162,927,355,437,
121,498,372,928,148,485,998,221,021,317,490,761,125,137,662,626,772,647,274,
494,936,563,234,990,003,444,333,112,120,459,407,114,516,341,801,046,813,331,
383,257,106,573,977,784,125,535,101,848,030,712,704,560,219,600,807,072,154,
981,683,048,480,285,582,695,000,556,563,852,798,224,599,682,166,297,605,763,
637,370,592,688,174,210,147,201,240,438,337,938,688,073,792,300,570,738,294,
280,062,967,637,603,576,676,089,540,764,786,195,170,349,562,496,533,518,215,
911,618,831,758,200,803,342,816,970,541,841,603,129,049,400,955,165,743,720,
292,642,845,809,733,184,953,502,890,504,462,400,432,590,797,065,936,356,340,
419,306,521,103,420,519,218,008,766,583,993,689,798,771,068,685,507,249,698,
824,394,082,364,354,844,156,903,085,066,982,518,478,069,542,090,019,291,860,
002,916,783,278,162,522,499,521,627,657,241,173,874,521,642,268,338,979,809,
392,715,552,495,631,215,536,695,705,405,188,507,027,335,458,162,882,434,084,
925,671,233,309,800,877,012,649,094,200,093,846,407,694,063,026,658,343,648,
672,971,126,611,652,557,086,619,579,089,731,539,572,872,880,936,152,290,500,
558,822,277,058,864,336,066,544,718,742,426,797,237,858,297,460,996,584,795,
671,853,820,122,688,662,198,860,789,975,801,041,407,564,381,981,779,343,580,
678,526,414,118,465,176,863,836,029,909,219,797,480,715,517,235,455,426,377,
946,718,801,251,867,537,291,272,381,241,476,515,219,146,427,923,520,667,708,
585,072,565,469,028,040,725,005,926,083,114,662,213,518,211,496,586,470,687,
144,845,396,849,912,252,523,756,226,482,832,115,214,942,213,523,030,780,578,
256,164,653,808,982,136,717,978,397,955,696,360,838,040,850,124,921,837,375,
757,032,005,566,191,596,448,121,506,687,929,350,038,489,616,729,052,622,576,
563,457,639,934,006,735,431,345,758,468,423,262,772,365,707,388,954,841,641,
048,804,431,688,289,772,737,141,566,754,623,611,160,773,854,243,213,637,180,
802,160,828,301,770,701,170,085,981,683,158,149,322,492,040,422,316,678,223,
691,971,817,628,825,937,984,739,582,838,421,165,046,500,039,061,210,122,871,
957,279,083,928,402,402,595,467,584,390,241,661,598,429,059,925,970,281,525,
284,519,637,315,366,393,221,836,992,542,929,660,266,388,212,313,195,813,192,
351,445,965,808,056,893,672,340,671,172,378,792,245,207,353,414,119,220,941,
736,557,749,282,186,100,878,770,360,792,022,002,843,884,011,290,189,153,438,
143,817,092,176,376,620,834,756,060,641,812,796,708,194,950,737,758,858,626,
876,541,279,876,192,093,773,297,436,932,342,595,245,458,288,457,662,969,867,
138,188,294,233,435,333,267,874,314,482,683,910,205,068,924,502,805,877,415,
084,036,623,604,220,273,618,893,538,786,390,429,477,822,148,690,342,940,858,
440,316,804,006,213,733,388,496,628,468,992,279,372,713,520,308,254,693,387,
644,727,737,908,644,828,896,910,171,003,285,124,720,412,860,895,864,884,874,
896,368,643,476,782,763,711,487,518,182,451,205,864,678,508,345,659,090,639,
082,882,807,506,140,486,637,090,427,813,067,304,997,279,976,893,682,462,650,
545,243,377,735,343,709,979,367,944,278,359,211,487,940,715,849,364,428,448,
664,975,142,096,579,546,029,214,876,624,761,621,290,314,531,768,693,964,589,
640,459,197,508,712,161,886,821,880,395,714,933,732,618,312,726,204,659,063,
783,018,420,910,856,890,116,504,266,154,146,694,170,972,803,571,451,524,610,
961,722,497,157,242,646,011,093,524,726,077,033,466,864,709,731,758,811,521,
969,447,135,855,584,025,604,965,695,737,836,830,333,897,468,061,161,214,639,
461,556,784,781,378,432,200,692,948,343,891,485,325,800,006,109,175,936,823,
725,337,346,328,693,560,263,552,998,585,943,340,348,960,541,627,066,692,290,
954,684,272,156,165,093,255,423,114,795,359,323,386,087,079,624,287,709,072,
843,617,628,518,889,133,342,513,508,051,125,760,784,698,030,551,568,641,790,
792,977,227,072,326,759,702,539,313,694,910,864,056,588,624,044,783,433,391,
560,490,138,149,730,458,808,752,353,385,822,740,326,620,857,742,123,824,268,
292,767,991,068,094,622,553,199,065,576,610,894,457,208,358,282,335,655,937,
351,129,131,596,619,319,054,697,502,811,004,523,966,569,725,329,188,241,363,
372,158,358,317,248,273,845,110,355,014,693,498,113,998,369,757,638,650,393,
014,245,472,872,379,068,720,959,665,610,852,125,654,326,873,263,363,881,124,
929,867,985,731,535,309,994,017,260,300,067,259,411,405,733,784,235,852,836,
319,038,422,954,043,444,775,843,035,999,483,338,347,814,532,586,830,563,725,
116,676,305,153,281,892,864,758,875,044,234,113,208,801,121,895,007,574,496,
918,158,180,726,930,495,250,369,316,401,261,124,785,091,728,743,311,569,999,
338,247,032,383,177,074,782,526,721,165,209,905,832,472,372,297,636,782,988,
595,796,113,230,499,976,077,733,035,552,682,915,034,910,746,048,977,105,268,
785,641,885,860,430,012,429,559,518,146,229,327,537,863,209,088,642,677,706,
808,505,039,160,226,130,893,575,440,757,680,951,760,375,530,428,275,716,848,
928,386,043,663,941,185,592,070,434,201,882,598,055,027,609,645,358,449,985,
269,231,294,091,060,515,936,517,205,655,942,303,049,555,068,758,054,587,424,
863,853,989,248,321,846,565,839,434,805,456,206,680,448,505,294,075,627,454,
263,827,476,564,050,154,263,189,011,264,910,013,030,819,953,690,913,866,356,
285,155,668,558,092,907,789,749,625,601,730,390,360,562,018,063,468,334,407,
164,888,800,269,249,228,132,455,539,004,774,264,534,672,715,350,766,618,367,
608,005,752,721,572,574,892,992,465,974,563,188,435,489,947,749,362,797,282,
961,436,306,591,562,718,527,486,658,379,505,346,670,290,457,775,490,886,258,
795,645,062,484,567,737,334,670,832,509,333,662,613,140,457,405,678,776,148,
220,686,711,774,357,742,276,196,241,616,222,340,066,331,818,116,988,686,645,
242,886,478,619,092,120,053,945,610,938,478,883,812,982,830,009,687,874,861,
526,299,987,787,790,033,860,316,387,570,276,135,801,341,452,989,504,008,120,
224,459,927,131,099,643,248,342,674,967,550,837,879,995,512,220,768,236,523,
629,853,462,596,556,012,464,578,979,106,346,559,094,600,314,349,370,539,485,
556,442,090,040,867,694,408,189,846,811,000,865,476,660,854,316,704,075,016,
275,624,137,233,162,713,233,128,853,389,012,857,047,081,611,231,702,212,305,
883,933,835,481,534,150,176,623,414,950,197,292,996,683,148,838,187,280,376,
207,204,500,176,685,937,205,585,990,604,621,037,180,939,635,660,977,810,033,
439,656,825,153,016,153,909,384,326,569,234,010,339,063,438,558,921,397,367,
379,329,080,819,598,375,649,588,758,787,040,185,796,334,416,797,732,944,532,
318,572,152,963,767,103,968,155,439,424,625,445,961,025,620,404,969,247,052,
452,348,765,585,147,706,124,015,358,252,894,398,228,096,654,914,613,904,615,
621,693,450,549,135,997,684,772,025,328,881,838,840,885,048,005,534,705,058,
400,248,411,184,760,378,494,746,676,949,032,895,859,489,481,049,971,116,086,
721,565,288,827,106,468,901,037,529,803,640,842,751,326,671,710,711,022,130,
437,021,872,545,524,570,187,126,244,034,083,111,164,692,625,025,116,862,313,
913,055,278,074,760,055,787,666,044,651,513,354,978,189,191,872,940,977,363,
502,407,742,359,025,084,507,193,973,110,088,284,387,917,816,241,755,499,778,
024,788,781,331,521,175,053,056,395,304,760,715,751,542,361,263,946,749,335,
093,736,768,854,792,163,572,281,721,978,915,335,266,241,433,365,001,314,454,
980,243,859,345,626,671,192,790,266,203,822,290,762,198,773,928,559,052,835,
943,850,024,298,802,500,658,306,132,116,087,947,349,995,969,870,982,121,305,
779,224,008,235,847,318,604,251,662,685,018,316,970,444,946,384,520,254,821,
545,961,845,528,448,809,182,971,460,826,346,031,976,334,533,722,295,880,882,
985,047,708,903,465,937,064,630,990,367,920,618,964,904,041,494,459,073,325,
806,794,260,983,923,673,971,901,625,395,297,036,445,648,746,198,839,973,383,
585,133,720,522,597,914,589,933,426,592,843,431,492,600,732,686,606,942,795,
438,514,387,906,796,425,212,004,632,419,322,520,455,431,140,306,587,903,092,
701,431,263,158,374,963,420,472,783,671,513,550,539,955,207,269,141,498,472,
596,094,151,196,014,598,023,457,090,662,946,983,729,804,862,317,131,442,024,
042,991,992,947,091,231,915,273,905,605,816,196,897,262,542,166,127,616,090,
012,817,209,154,642,859,053,876,373,081,799,106,689,382,127,431,297,630,307,
278,616,413,273,690,934,313,494,576,198,077,222,578,539,299,203,087,653,824,
226,593,293,296,862,012,491,477,711,746,391,516,791,036,171,467,444,302,638,
374,338,750,126,835,444,177,017,659,491,541,251,306,713,151,506,923,427,024,
005,606,202,485,984,904,964,946,558,726,508,035,195,275,535,518,475,332,159,
623,931,151,498,712,924,732,389,158,268,629,324,957,142,482,989,936,467,450,
940,850,459,228,500,542,604,126,771,674,519,372,465,250,575,749,752,928,200,
788,988,798,571,041,961,915,707,152,610,946,067,010,336,051,409,485,066,495,
684,234,520,918,686,189,058,921,608,071,061,893,827,956,562,604,438,799,104,
091,021,015,828,428,916,238,560,749,147,103,930,624,314,076,295,630,060,919,
753,442,254,264,957,358,393,482,689,078,130,983,317,577,903,518,503,091,246,
318,571,923,742,135,982,760,600,508,975,957,495,062,756,389,554,241,970,082,
180,432,658,873,110,255,282,251,498,395,354,014,919,323,047,910,790,760,399,
203,900,360,423,462,773,671,142,956,887,317,674,084,521,451,116,579,624,415,
478,586,337,441,700,333,715,787,204,093,843,349,880,482,606,352,105,936,023,
051,285,767,950,716,355,679,670,508,139,679,629,803,340,231,993,101,427,380,
603,315,264,384,195,196,625,176,904,113,586,439,047,280,962,645,624,439,170,
214,782,903,276,788,407,291,910,281,760,238,041,421,229,806,562,312,638,182,
538,631,302,614,687,775,375,258,854,665,459,983,931,480,932,970,458,577,777,
888,945,609,531,072,936,913,877,693,388,356,630,558,167,356,792,809,106,405,
073,349,061,893,472,787,577,471,330,203,153,197,219,091,984,661,591,873,214,
240,637,773,965,156,849,089,058,694,093,655,496,171,748,625,813,353,530,869,
994,047,752,410,492,124,975,471,255,575,918,763,454,247,810,527,738,577,341,
584,082,241,490,568,828,287,337,583,397,229,880,965,913,227,221,786,458,037,
503,497,561,730,355,493,358,495,087,440,001,570,526,104,173,898,372,377,306,
282,055,701,564,449,457,246,585,950,330,585,955,070,273,569,019,439,055,114,
248,278,490,607,757,970,634,243,938,254,918,939,777,702,888,918,234,129,265,
361,921,905,878,382,141,627,663,429,796,004,747,070,569,429,529,189,231,553,
943,981,442,583,136,220,454,277,855,498,558,315,243,544,452,782,261,307,614,
427,152,524,433,547,547,616,024,956,349,306,141,907,329,072,324,428,298,616,
230,734,926,130,372,646,069,167,540,524,641,940,295,216,663,047,175,812,571,
329,317,326,403,297,343,792,163,478,300,785,986,164,484,746,043,270,108,240,
051,711,251,447,126,273,485,200,340,851,732,132,083,129,938,049,770,189,730,
371,844,477,273,783,347,488,411,755,853,027,981,841,537,976,780,362,540,228,
128,884,241,211,947,046,000,843,089,887,206,474,013,678,126,730,141,988,028,
146,318,340,982,701,340,466,227,915,324,281,933,753,260,107,280,249,070,438,
845,887,338,200,812,842,972,761,803,473,820,272,835,076,870,733,947,095,416,
737,026,110,796,990,747,745,725,900,117,530,420,311,865,527,962,726,140,323,
730,492,534,843,182,979,184,261,668,998,263,716,035,262,833,469,369,742,107,
173,151,347,225,197,132,651,240,669,748,428,184,683,020,126,460,066,281,857,
764,759,337,091,864,070,362,153,507,453,637,391,985,405,208,363,499,403,591,
752,480,019,749,338,174,003,757,415,994,769,936,129,504,626,431,737,612,290,
189,657,794,410,378,080,335,261,801,534,544,155,193,607,978,776,741,672,646,
947,087,896,472,028,660,620,295,794,303,850,153,899,888,688,969,743,883,144,
290,325,144,861,523,800,418,972,291,023,050,841,181,311,255,359,078,782,142,
626,058,408,061,537,675,026,583,788,689,348,705,314,853,126,154,566,817,826,
313,612,451,902,439,895,312,357,916,638,982,791,302,831,621,982,449,418,760,
054,675,362,536,925,228,850,288,928,537,924,863,605,864,476,834,636,904,657,
670,133,116,766,453,441,331,108,863,684,959,950,155,495,633,097,612,726,098,
456,318,615,795,937,125,916,863,754,440,836,918,015,891,861,241,971,997,551,
894,703,246,780,597,945,670,320,249,806,241,851,828,786,751,698,664,960,717,
246,671,630,068,505,092,065,955,327,386,835,403,976,230,521,432,237,396,896,
053,097,414,300,709,359,657,498,620,967,166,246,637,006,911,697,042,718,827,
838,975,449,408,386,320,843,298,535,952,419,005,608,170,799,100,767,678,787,
809,822,458,223,707,357,068,206,028,288,455,025,934,849,591,107,360,087,756,
821,923,750,681,542,294,050,388,726,533,333,484,508,439,813,134,961,337,377,
555,626,595,361,205,215,913,233,906,386,633,340,771,358,514,214,299,576,813,
780,985,473,426,933,335,948,943,764,381,789,245,651,975,147,943,200,162,560,
917,079,134,466,705,542,632,948,557,218,911,860,196,462,243,729,129,860,449,
859,425,551,612,199,671,691,654,617,292,775,787,577,558,094,675,902,214,867,
143,047,088,268,495,368,595,459,585,644,154,479,801,096,805,043,768,153,781,
952,459,370,850,586,365,099,159,501,230,015,095,226,950,314,100,526,564,970,
416,163,858,081,828,446,852,083,211,596,226,094,844,451,981,577,781,883,075,
664,816,244,927,323,420,574,207,777,340,123,848,473,614,709,602,970,040,977,
522,987,888,165,507,881,216,808,684,474,049,248,620,278,145,327,272,252,593,
544,342,052,458,895,670,092,240,431,501,586,873,068,690,573,549,927,259,881,
141,152,204,628,918,440,395,040,041,348,977,210,160,022,904,108,717,582,913,
852,656,603,953,100,888,466,414,668,897,466,940,596,319,597,299,706,884,130,
049,671,629,589,683,577,054,188,680,483,463,052,084,827,213,444,222,996,141,
410,223,073,238,468,682,280,423,539,144,707,450,271,979,795,441,774,264,429,
730,800,071,617,334,833,252,226,072,198,562,638,816,505,966,973,993,952,789,
806,224,974,391,129,140,852,825,655,916,476,849,655,793,114,569,601,071,910,
184,863,598,481,219,944,336,023,262,440,356,744,329,612,309,517,607,606,809,
105,779,936,206,420,697,146,001,198,124,429,759,730,426,904,215,982,238,739,
206,631,919,048,809,121,203,380,561,227,571,056,610,498,000,479,848,248,169,
093,670,860,789,702,291,689,447,484,227,797,598,501,400,434,376,018,945,807,
144,661,144,401,621,160,215,977,921,121,671,906,084,320,490,692,934,287,758,
058,946,923,107,406,706,309,050,468,395,946,709,840,361,370,442,125,080,091,
689,106,642,648,356,615,667,902,738,672,791,278,050,519,112,950,965,043,474,
976,515,559,506,987,517,262,295,132,087,663,555,009,137,513,462,251,120,920,
728,754,831,797,495,731,511,488,892,725,082,077,366,680,052,901,718,944,877,
399,518,657,264,622,762,325,676,677,390,127,647,041,602,870,549,996,073,735,
640,702,989,732,014,274,544,589,446,045,081,164,625,847,696,772,117,193,280,
094,396,710,151,884,694,798,196,236,336,333,106,769,710,684,879,928,260,342,
097,594,204,624,764,791,623,084,398,351,608,935,812,465,561,093,566,130,599,
467,455,910,331,604,291,075,956,831,541,496,342,099,736,764,441,847,931,095,
145,690,755,627,766,467,812,682,426,848,502,036,896,501,334,879,913,785,948,
314,110,215,075,746,373,799,052,785,813,758,044,749,740,292,215,196,245,680,
415,340,373,070,601,495,190,592,279,331,853,461,208,521,994,569,903,362,718,
599,098,638,521,784,187,482,263,715,436,155,314,451,694,690,263,255,514,086,
183,845,982,994,080,167,712,021,169,598,192,119,598,950,242,461,786,386,600,
613,511,933,178,177,320,499,537,995,204,576,649,591,681,835,637,739,690,410,
674,492,357,801,766,772,574,265,766,678,359,138,227,249,407,982,555,928,926,
230,843,350,578,623,204,838,936,473,258,307,153,028,699,717,218,248,579,838,
208,183,206,781,494,834,052,514,792,963,180,046,963,339,227,539,455,978,368,
060,366,983,412,874,320,151,841,482,995,514,641,084,402,815,039,278,037,395,
707,569,037,603,894,039,073,313,214,149,039,431,396,730,009,362,094,301,589,
798,820,311,509,973,897,688,634,808,253,134,713,974,892,924,939,532,588,415,
105,903,183,307,769,422,904,816,833,558,585,929,323,151,883,730,795,662,277,
685,419,698,250,788,544,087,970,420,517,136,613,279,053,979,274,022,539,973,
370,798,531,861,821,832,028,246,907,509,769,915,257,142,829,214,940,219,530,
481,543,863,166,574,902,574,907,975,039,127,373,210,349,832,410,177,125,740,
395,663,875,301,787,682,667,281,254,201,428,258,548,039,145,870,193,878,280,
772,147,819,390,749,812,828,769,755,415,065,224,681,082,094,511,972,743,493,
072,386,369,202,566,913,242,619,355,518,699,525,182,987,591,162,766,198,140,
469,306,300,979,841,648,812,737,554,941,857,769,318,648,771,767,541,604,282,
719,552,742,530,245,788,904,747,305,253,528,986,978,412,698,007,769,588,221,
600,633,717,807,157,585,207,121,216,491,821,941,603,811,354,569,943,163,219,
840,048,759,256,001,752,105,403,262,741,500,614,423,279,100,070,369,995,436,
627,096,244,340,759,759,918,819,275,063,783,756,094,853,180,332,331,511,257,
450,757,494,095,373,853,554,566,310,184,463,152,304,970,249,116,930,696,303,
244,504,651,806,797,478,972,198,231,048,494,726,008,578,030,828,800,364,694,
637,804,244,629,793,596,413,873,774,392,183,378,117,206,010,309,518,794,845,
663,510,489,430,434,109,650,387,264,090,013,848,113,705,781,471,416,006,268,
049,102,974,903,655,704,543,933,446,567,608,498,405,238,184,599,819,609,517,
175,127,076,383,120,304,926,289,973,337,254,934,825,693,400,964,467,399,714,
726,574,091,953,653,313,335,559,266,727,011,859,075,177,405,486,680,319,351,
306,404,149,677,960,898,906,919,040,337,908,755,115,912,177,974,838,121,554,
079,240,644,031,313,116,167,659,786,941,849,108,041,846,762,132,173,532,408,
747,958,922,386,172,786,251,075,420,272,262,018,958,444,817,535,967,628,405,
489,657,855,761,788,948,234,898,506,203,148,189,564,279,970,006,748,151,040,
817,111,043,013,682,611,076,256,327,763,224,426,008,312,177,514,168,864,033,
608,949,701,540,772,601,265,276,088,555,134,597,964,996,285,774,866,947,530,
982,343,441,457,560,713,981,204,152,373,426,006,853,430,589,431,769,059,429,
986,178,854,810,809,214,382,864,104,250,645,147,299,865,338,388,891,172,565,
885,679,697,627,154,573,068,893,922,655,740,106,713,490,730,990,680,119,807,
817,719,090,273,837,704,185,524,024,379,081,720,888,998,289,842,109,272,765,
556,536,743,938,550,584,697,347,196,100,327,211,384,494,951,182,645,284,416,
008,856,871,665,879,058,055,693,140,455,272,184,238,761,560,941,144,959,889,
971,598,228,332,178,428,174,035,800,751,661,186,443,852,995,404,506,247,158,
805,760,437,074,859,723,102,567,020,202,523,516,490,835,451,801,960,189,591,
643,736,423,910,348,000,431,555,017,661,113,405,544,599,418,928,841,647,153,
748,304,881,095,343,854,922,613,533,964,526,185,053,549,849,016,285,167,772,
954,515,269,623,241,808,151,556,195,994,219,411,809,449,074,701,257,429,527,
323,224,987,445,263,938,938,519,301,244,388,429,060,764,162,784,871,036,747,
260,026,112,793,962,918,066,836,220,712,169,120,181,378,427,006,733,007,414,
064,876,479,074,318,627,964,904,843,758,910,112,338,396,494,375,937,220,391,
142,660,835,698,939,056,290,068,958,759,866,649,258,045,823,998,845,547,306,
801,180,404,589,645,478,544,697,918,479,877,245,729,981,462,230,673,770,947,
479,565,775,853,992,287,555,598,860,600,050,965,685,749,623,249,895,338,030,
288,439,547,059,591,745,866,958,006,440,345,348,761,362,189,343,220,460,119,
226,471,343,641,650,000,826,919,987,840,674,604,610,204,792,769,474,733,207,
545,219,543,893,814,854,659,391,562,683,134,087,249,527,092,863,772,046,002,
193,333,001,020,455,486,809,590,802,323,118,978,095,210,965,444,389,335,456,
316,387,578,324,875,343,286,977,496,748,042,112,188,268,422,499,692,456,254,
197,565,220,929,042,907,875,169,826,926,238,543,488,697,576,528,621,583,103,
622,528,820,449,617,231,761,476,752,834,050,003,871,517,321,613,162,209,082,
080,006,304,984,816,874,503,897,133,746,935,070,461,644,378,982,968,623,444,
186,110,981,447,067,773,991,550,231,720,864,220,854,904,177,855,957,325,861,
314,909,802,407,064,049,379,041,028,751,329,179,911,981,308,879,049,108,478,
312,935,793,869,832,509,175,003,391,189,489,898,520,358,238,746,570,140,074,
769,671,955,525,921,226,361,885,832,567,390,769,083,547,796,545,936,559,943,
204,435,745,028,242,863,545,294,872,218,218,074,394,939,497,812,438,468,293,
210,231,009,233,516,431,323,740,824,654,937,317,369,612,266,055,065,657,239,
690,729,478,045,826,261,558,571,691,360,840,526,996,854,412,125,638,394,381,
129,527,162,051,800,272,429,609,338,008,063,133,961,226,033,700,835,911,923,
489,503,817,698,708,437,753,752,817,602,443,692,426,294,875,010,467,477,392,
536,111,519,569,906,988,140,830,670,710,662,920,974,909,437,453,288,226,226,
580,714,350,760,310,229,405,460,088,609,797,843,180,576,353,473,218,860,610,
364,342,695,959,163,826,354,843,959,992,856,485,295,760,825,401,493,656,051,
110,671,393,869,260,135,685,023,188,719,979,386,223,526,787,293,328,639,588,
935,004,585,029,259,847,378,765,535,714,284,304,711,098,039,606,670,761,034,
147,774,591,110,843,809,290,691,244,713,267,894,146,884,858,920,263,118,729,
176,247,403,505,029,731,090,661,721,760,362,643,718,675,237,040,347,890,159,
571,400,635,347,402,566,596,211,871,159,858,119,294,486,165,067,361,815,245,
232,938,991,024,977,555,311,502,655,814,735,119,300,242,203,023,460,914,437,
863,796,742,366,709,637,133,768,106,620,323,186,832,238,503,091,423,065,234,
766,585,916,707,399,421,500,484,045,054,179,666,589,904,753,487,968,149,731,
192,444,051,500,157,361,580,517,840,563,575,152,558,613,194,680,351,020,885,
501,795,709,608,420,900,480,536,832,092,879,615,331,466,749,344,399,502,709,
357,162,077,696,219,727,037,544,367,185,225,563,793,240,975,900,728,878,467,
756,607,259,127,952,916,848,421,624,684,733,964,366,012,955,509,871,697,569,
334,571,889,437,521,102,163,934,196,535,712,334,482,319,115,303,265,501,429,
633,360,716,449,339,822,425,898,214,862,297,579,187,082,672,657,365,615,629,
972,745,192,155,621,277,029,233,467,477,584,369,410,345,225,088,656,924,658,
825,414,003,117,689,636,972,310,013,945,617,965,577,820,146,375,937,223,043,
532,170,238,284,709,140,346,676,078,528,122,142,260,971,863,791,291,425,923,
320,290,123,225,110,744,956,888,085,546,838,810,156,745,216,667,484,655,504,
582,713,700,616,819,537,680,385,914,878,149,289,112,930,516,165,484,740,445,
472,629,338,712,250,217,472,651,664,447,826,409,494,883,083,955,488,976,583,
720,757,060,277,301,007,758,619,186,758,775,304,431,936,772,356,525,493,361,
370,631,587,938,772,885,288,095,542,754,996,218,094,483,950,291,745,320,120,
710,718,736,708,754,653,406,378,658,604,736,412,635,716,100,438,764,603,319,
376,870,708,257,555,597,456,878,700,296,399,602,392,602,338,409,168,836,453,
553,763,252,020,171,355,112,577,646,071,609,398,218,891,406,956,109,800,326,
148,578,430,089,727,962,087,514,175,322,813,725,456,337,502,956,205,307,846,
339,152,140,276,784,231,985,337,612,220,418,233,770,657,946,074,396,419,489,
476,470,631,106,578,559,492,708,829,662,673,038,539,955,953,811,456,391,505,
029,269,386,182,655,485,502,805,888,804,957,687,120,224,278,845,256,156,471,
054,876,571,614,708,381,449,940,038,651,711,600,448,697,133,042,884,570,710,
575,538,057,667,373,817,390,765,692,695,094,466,993,422,446,130,338,647,122,
574,515,467,548,314,647,130,031,071,764,546,841,261,336,527,874,679,970,472,
135,246,841,072,503,956,811,884,937,336,202,234,062,639,335,776,113,459,527,
635,362,732,235,004,145,807,301,303,413,118,978,785,256,385,338,567,723,708,
602,123,024,874,450,974,538,551,573,337,098,543,926,609,223,731,486,570,188,
508,543,081,065,902,776,151,006,910,433,711,703,005,236,781,054,831,277,020,
924,319,949,083,209,993,440,605,816,801,714,855,719,546,222,675,468,837,179,
701,744,414,684,018,832,880,899,605,442,440,521,446,718,804,727,004,604,851,
493,693,914,706,546,523,374,823,966,255,370,007,890,123,475,133,678,587,085,
524,324,800,922,960,948,447,530,580,830,290,874,736,145,060,974,768,641,866,
996,382,459,479,239,019,317,468,511,869,082,859,874,854,256,490,058,206,600,
506,306,427,596,446,000,190,937,118,114,236,668,815,167,043,053,153,480,107,
509,333,297,758,512,581,590,286,865,568,004,534,333,475,199,767,648,640,283,
079,431,217,964,203,499,656,346,680,928,329,700,496,216,189,524,177,393,615,
022,728,933,571,802,698,263,892,698,142,083,108,628,405,186,122,931,107,756,
129,047,417,834,190,475,396,572,875,166,954,477,984,395,622,322,305,295,644,
074,764,803,412,289,275,405,503,518,324,100,981,122,078,628,526,460,228,411,
908,121,733,207,922,200,906,814,565,669,097,390,221,001,863,572,294,858,373,
382,773,674,502,536,712,501,925,542,324,751,009,073,091,705,134,469,550,080,
530,288,791,594,223,132,666,373,882,317,625,847,003,896,346,147,472,794,296,
549,136,622,456,729,984,752,672,561,098,790,450,180,820,772,462,806,522,313,
124,047,366,419,284,369,872,310,053,424,909,699,699,310,709,416,438,195,239,
206,322,630,759,734,856,067,997,540,008,188,838,637,079,413,324,018,813,157,
302,233,031,513,059,599,532,184,029,992,941,152,347,886,247,294,947,360,170,
175,948,270,614,025,757,206,507,426,019,623,923,988,573,473,462,320,760,744,
678,829,893,914,537,158,141,068,859,039,610,170,402,016,509,250,861,711,333,
806,010,587,339,205,519,296,055,712,599,508,079,789,216,725,316,076,389,660,
783,867,624,580,280,876,449,649,711,988,709,947,338,350,423,230,232,164,872,
111,526,291,593,490,636,297,200,022,891,114,696,482,011,286,632,750,032,428,
914,630,374,192,103,130,999,671,229,133,177,986,380,805,596,822,463,830,666,
092,060,585,987,841,464,559,775,000,069,827,787,241,502,023,936,758,534,278,
470,582,189,321,607,409,139,851,936,409,587,231,259,077,745,158,525,023,106,
781,915,266,224,136,073,630,802,703,960,233,585,812,854,210,808,814,472,373,
182,088,263,450,251,926,553,956,766,114,954,294,718,369,123,066,708,207,136,
699,040,076,659,847,621,232,634,207,031,356,256,953,010,984,312,982,295,855,
806,020,084,142,816,237,612,361,537,855,187,803,215,714,642,312,334,868,992,
948,806,865,494,749,580,253,450,119,493,328,442,813,690,861,757,159,920,001,
867,196,989,489,231,635,758,612,679,846,255,365,161,214,442,553,024,574,946,
925,714,987,281,085,699,760,197,111,969,797,494,368,257,999,755,714,420,173,
226,854,122,345,867,825,577,192,817,810,591,223,990,685,125,761,507,265,001,
302,690,673,166,600,606,743,392,871,233,960,486,424,291,299,479,111,699,324,
479,418,984,712,999,218,622,227,280,277,692,070,274,906,913,245,541,533,773,
542,113,517,854,632,765,156,382,495,938,441,891,358,970,822,731,606,370,085,
342,079,184,452,786,544,295,964,867,644,558,346,001,059,082,988,419,948,447,
106,841,617,658,164,332,504,718,208,388,123,459,038,548,219,128,498,001,944,
654,910,577,787,241,281,606,411,870,254,386,576,764,440,255,812,805,011,253,
944,888,839,272,701,238,105,031,666,696,952,822,402,723,400,546,853,627,259,
709,692,084,921,914,550,631,859,944,675,709,643,199,396,644,288,636,207,742,
734,318,534,989,904,801,813,490,892,686,388,220,701,646,338,085,890,244,784,
922,942,594,194,808,546,097,465,387,757,261,223,760,095,960,862,994,089,438,
637,426,635,586,546,979,078,604,914,731,528,658,830,670,631,396,577,369,562,
760,093,516,369,142,403,257,193,760,346,540,437,884,433,589,505,663,709,434,
023,083,772,469,136,693,473,483,044,162,080,664,104,253,409,555,566,584,744,
465,057,252,186,396,773,252,039,851,706,846,029,076,336,134,888,236,379,954,
387,102,399,810,330,147,770,422,657,053,856,977,729,063,603,009,910,830,678,
054,858,070,362,126,669,283,275,295,854,138,516,904,096,706,497,867,013,766,
858,546,209,629,193,612,895,570,424,957,635,005,705,750,774,193,557,672,073,
661,543,179,263,892,445,073,102,304,025,321,505,045,053,071,641,626,880,701,
286,504,559,107,405,588,121,010,940,163,193,816,204,822,549,451,045,525,677,
055,090,026,552,440,341,326,829,189,763,852,617,892,428,994,336,449,605,496,
993,926,315,113,861,541,406,928,318,915,976,569,196,784,079,247,204,809,717,
321,991,013,637,845,486,715,864,078,045,837,103,676,302,808,732,165,786,635,
077,338,036,927,032,030,039,368,203,245,669,551,280,673,121,560,223,642,114,
908,224,349,533,911,060,239,690,179,938,483,405,096,336,408,407,247,547,693,
123,989,592,701,411,976,901,213,868,127,268,522,727,737,101,568,122,504,772,
448,446,623,611,319,915,700,333,451,449,452,489,035,274,091,932,219,727,377,
370,563,802,799,723,539,309,492,337,041,015,803,856,309,481,378,939,490,946,
571,668,346,222,355,568,447,669,509,342,864,983,758,805,549,362,447,327,553,
637,017,192,736,338,498,664,772,290,098,212,534,195,380,322,437,071,027,745,
339,175,510,147,991,042,652,695,604,071,742,680,264,110,660,918,530,145,633,
089,231,647,838,242,785,683,383,730,243,178,802,022,013,218,544,057,169,366,
174,034,951,380,025,899,975,635,256,788,190,677,530,763,381,843,157,313,440,
910,215,914,399,944,101,263,253,152,623,688,603,244,793,486,016,236,895,664,
610,761,077,538,810,257,916,397,532,636,263,640,156,740,104,123,241,023,825,
301,107,356,054,290,939,953,129,611,341,408,164,034,496,643,489,095,124,698,
037,126,131,404,470,025,267,725,725,284,061,750,458,931,562,994,998,031,702,
731,461,856,791,658,418,478,474,619,939,243,701,268,050,985,772,752,160,032,
698,638,640,350,878,329,922,604,153,164,747,501,074,090,109,402,859,853,492,
982,227,780,358,625,129,722,730,951,177,456,671,734,521,218,204,653,945,303,
876,956,708,825,268,303,312,502,414,320,040,853,507,197,714,295,865,963,259,
447,058,030,827,901,891,132,716,711,747,203,631,218,059,540,920,506,700,657,
760,580,266,672,636,766,191,513,537,433,425,550,585,333,361,551,406,038,605,
467,315,956,747,596,049,305,802,160,663,920,073,772,741,784,582,735,987,234,
858,136,430,267,889,589,504,872,126,044,501,125,017,690,920,737,411,653,601,
429,309,505,883,079,308,684,988,816,265,161,765,648,859,119,129,907,078,918,
989,200,163,811,199,854,317,528,178,455,333,918,592,072,395,566,789,837,475,
199,501,139,567,649,358,664,282,611,489,891,391,753,971,949,205,865,816,043,
933,739,609,939,742,353,249,130,723,468,911,216,954,728,338,537,427,320,395,
176,392,709,328,446,775,072,342,720,344,505,714,635,684,063,858,177,200,736,
438,518,575,965,938,663,950,666,648,657,573,555,056,973,167,900,855,419,338,
151,956,136,796,522,032,486,156,466,157,137,619,608,565,812,936,068,063,902,
478,402,633,299,251,239,042,492,406,135,134,274,999,095,275,240,173,794,372,
029,157,218,867,380,015,091,109,086,948,613,189,587,292,628,457,036,637,136,
653,963,202,674,776,968,151,497,395,387,538,294,615,307,213,466,804,959,682,
347,999,415,050,312,992,596,458,280,159,507,995,310,185,058,867,560,061,153,
520,077,499,167,239,541,472,040,406,655,215,455,577,685,019,536,397,370,306,
420,242,290,968,472,655,257,815,907,358,856,086,671,069,622,203,865,139,257,
268,216,249,036,181,106,656,690,318,708,936,234,391,032,433,053,260,519,736,
715,570,297,594,201,777,284,800,132,652,070,061,618,430,228,280,572,199,572,
676,066,856,340,532,681,403,116,299,611,805,271,482,872,345,420,050,671,334,
022,872,118,053,028,128,205,054,653,774,800,299,256,657,307,502,396,536,562,
371,344,650,990,982,142,478,577,579,391,993,206,358,278,335,771,334,936,287,
579,478,946,751,026,597,278,645,720,620,044,750,284,907,738,049,012,043,510,
474,450,170,232,127,752,216,416,196,235,507,385,151,812,800,592,879,838,318,
048,497,100,288,573,458,593,695,960,851,655,787,698,885,381,547,891,278,804,
988,968,336,197,675,835,374,500,224,144,844,101,633,371,021,511,836,840,547,
441,325,804,284,361,911,935,630,035,431,113,397,286,663,724,581,374,186,696,
935,608,307,028,296,193,331,256,841,213,549,711,278,585,837,181,388,092,979,
392,982,715,188,489,440,244,809,988,768,451,504,131,877,110,216,780,434,810,
729,493,014,538,725,628,363,533,840,476,150,568,494,564,687,694,167,423,402,
672,091,969,897,768,016,988,298,462,378,075,316,994,267,537,138,695,866,828,
341,064,893,687,876,107,401,100,095,994,011,479,386,418,392,595,328,410,841,
923,949,432,841,268,764,462,505,960,162,493,268,878,382,415,865,452,019,263,
422,392,477,217,677,734,215,123,935,447,550,341,793,574,722,004,672,441,375,
940,074,513,890,719,117,552,904,570,207,393,362,949,807,354,362,042,908,775,
727,124,223,525,732,732,435,126,283,353,901,173,212,647,887,246,579,409,670,
314,364,343,213,994,654,225,427,583,901,866,243,032,613,058,539,838,771,653,
061,243,064,750,367,299,531,232,954,767,928,856,558,975,453,854,223,069,713,
389,532,000,795,531,190,301,371,390,595,839,437,288,653,943,082,379,947,573,
076,382,149,646,276,023,782,341,969,913,929,459,968,006,072,872,489,405,949,
259,160,608,988,555,839,885,554,391,642,809,510,040,867,236,278,976,661,464,
012,100,488,799,115,000,827,376,524,072,544,960,304,738,978,797,528,616,084,
214,332,829,351,174,188,212,704,248,553,567,989,608,587,690,442,128,820,217,
734,418,459,093,795,434,223,686,763,642,687,456,143,501,188,264,975,649,340,
067,985,190,584,863,617,816,734,675,039,157,097,693,017,457,811,018,703,187,
938,071,887,667,805,494,426,157,050,425,605,882,392,472,374,586,438,432,479,
710,108,293,173,555,059,195,213,969,837,973,301,346,844,612,009,326,640,077,
464,937,321,857,700,525,144,481,317,706,563,166,438,968,941,466,934,458,336,
130,417,052,811,444,291,764,014,840,881,598,767,849,454,702,820,351,684,252,
764,428,205,944,617,243,776,542,278,608,908,905,311,437,669,697,198,479,965,
464,676,221,419,850,712,446,942,399,806,589,717,451,954,443,949,390,185,421,
148,461,977,892,880,777,137,077,145,581,830,373,859,291,382,069,321,476,252,
950,374,844,688,385,864,418,686,109,019,176,547,910,801,205,381,848,370,712,
284,260,105,304,521,080,233,339,404,913,611,924,792,673,157,024,492,443,789,
907,779,968,874,423,540,699,946,696,656,009,205,063,454,423,374,314,974,017,
201,047,338,972,615,680,150,641,651,001,340,616,291,522,935,898,638,754,203,
163,851,448,702,372,142,765,342,365,481,174,021,944,953,655,014,571,782,261,
620,217,498,595,951,477,284,975,745,894,051,694,423,268,924,695,368,426,247,
617,805,710,324,178,514,502,377,310,981,774,400,959,190,861,016,057,755,097,
695,623,877,914,602,077,365,781,832,896,370,852,340,645,508,099,371,191,781,
300,173,346,037,509,938,752,352,420,403,073,284,931,989,964,620,937,076,201,
476,989,424,261,469,532,975,407,977,363,474,530,239,611,656,109,872,615,237,
155,393,392,384,027,186,106,120,831,959,530,819,344,324,887,814,975,444,864,
940,086,193,300,090,064,885,680,872,744,788,508,603,077,047,085,251,411,600,
174,402,156,109,848,468,711,047,863,470,871,793,691,251,141,736,609,228,964,
334,439,181,419,692,876,660,556,131,702,296,496,660,251,647,229,374,813,767,
434,968,813,432,673,452,766,093,719,227,548,202,114,964,076,950,574,546,150,
465,110,394,355,926,863,492,635,951,720,501,662,275,832,323,121,337,541,541,
423,124,260,232,129,526,643,674,819,570,718,632,518,684,974,263,912,668,220,
202,210,836,672,918,100,488,464,003,961,842,157,767,019,905,614,503,133,301,
057,567,990,864,318,868,333,217,887,620,147,411,992,030,086,013,365,055,072,
330,937,467,203,372,513,075,623,129,472,922,106,311,113,778,940,478,510,025,
399,616,307,778,017,751,960,452,456,420,183,021,285,211,939,569,485,926,919,
565,756,718,032,074,925,980,541,181,623,780,974,037,259,202,408,596,695,006,
135,574,020,110,309,644,664,920,331,435,498,515,192,561,830,276,884,143,148,
417,872,112,618,627,804,342,866,284,123,274,983,956,247,724,409,374,742,746,
275,157,300,196,087,339,565,240,148,778,588,418,678,392,530,860,326,316,488,
969,352,564,310,075,027,691,584,091,547,736,944,398,360,438,804,253,037,365,
892,761,260,915,553,121,537,889,749,032,308,353,716,300,332,025,418,669,180,
156,022,153,075,400,407,028,517,928,171,754,616,960,041,528,694,327,688,420,
653,563,749,319,183,091,588,446,806,104,779,308,295,075,535,766,025,431,521,
261,306,506,004,297,917,169,426,835,502,543,216,496,417,768,746,244,318,802,
514,510,758,748,018,483,848,114,361,902,140,894,551,933,375,789,011,285,624,
362,218,356,745,949,186,725,404,006,480,309,722,209,508,601,669,210,516,006,
374,268,146,532,138,260,625,255,231,797,186,547,025,219,306,356,392,100,678,
747,660,071,497,300,511,296,268,601,293,600,018,012,484,255,210,388,772,817,
277,451,705,653,526,537,979,940,816,635,950,829,962,636,955,780,125,690,810,
000,383,044,076,155,807,544,717,369,077,800,731,384,975,070,025,472,424,893,
301,978,086,531,015,625,827,902,145,276,973,247,505,370,372,719,619,852,459,
521,314,176,779,879,170,206,676,852,763,820,355,420,034,794,543,165,004,103,
443,236,479,956,929,903,869,812,684,904,986,928,823,384,822,475,646,247,074,
538,905,357,593,431,814,416,119,513,450,603,218,579,182,943,722,696,485,488,
600,976,057,853,835,153,483,852,582,037,847,594,452,643,219,668,517,335,043,
616,690,423,996,545,906,229,880,020,081,613,240,098,364,474,923,662,369,756,
457,362,345,166,138,728,471,116,692,641,082,277,838,619,168,956,742,342,011,
478,206,314,574,152,931,618,596,376,338,880,009,653,200,239,526,209,789,693,
304,208,050,399,738,046,273,394,497,667,437,720,011,685,252,432,519,673,756,
244,335,411,134,242,434,365,179,093,969,777,393,203,036,032,592,345,613,365,
157,035,286,142,861,753,955,944,400,568,695,809,225,874,042,806,509,439,798,
672,228,219,388,446,687,598,917,225,640,529,582,354,337,044,306,784,125,467,
768,319,375,885,825,478,722,489,885,235,839,528,492,968,025,758,202,157,329,
646,503,488,136,869,701,487,936,967,564,390,278,295,678,534,458,135,388,881,
071,000,059,690,930,579,944,054,920,819,846,932,571,951,935,379,495,088,312,
647,249,917,373,169,531,970,015,661,245,126,595,998,066,721,678,502,641,152,
393,343,498,035,469,480,195,660,012,108,001,585,949,945,332,827,984,509,544,
528,804,019,580,120,402,230,933,039,907,800,666,218,978,060,347,626,614,890,
210,495,880,995,331,133,491,407,575,712,952,951,882,392,499,105,466,974,950,
428,358,860,116,297,502,523,358,162,607,059,966,816,327,296,299,577,395,385,
609,111,576,463,071,668,412,616,194,589,284,941,644,712,009,540,783,898,164,
307,259,999,002,479,245,815,498,524,278,750,846,282,023,184,020,930,301,178,
760,531,464,273,089,260,762,737,649,405,966,131,767,327,225,451,232,931,274,
941,820,869,812,549,639,362,370,260,130,754,760,002,280,846,748,748,769,425,
903,434,979,601,094,666,074,764,801,744,021,077,780,680,522,613,560,068,213,
017,722,502,778,679,945,109,182,776,614,540,221,129,080,597,829,754,603,466,
686,207,174,203,492,604,117,760,382,927,553,113,485,567,703,177,259,101,393,
831,521,177,663,000,028,832,622,390,381,029,012,346,667,981,609,226,895,861,
600,183,047,835,756,963,809,999,699,724,736,845,641,863,355,432,063,049,059,
236,676,880,402,352,700,272,592,563,947,128,329,929,213,340,946,874,169,116,
577,377,331,557,544,553,884,886,260,099,008,110,419,058,883,869,270,990,935,
686,782,608,771,083,123,216,704,707,237,888,141,241,993,779,570,657,059,608,
431,527,931,965,893,135,369,135,377,873,307,443,091,141,209,507,591,428,057,
374,410,774,627,413,681,773,003,956,809,350,165,755,493,962,776,837,029,943,
428,548,768,555,683,376,950,031,162,517,683,106,522,557,360,467,397,178,835,
120,326,740,346,298,990,569,017,538,709,985,676,931,603,360,802,703,861,237,
637,618,094,025,543,763,169,168,860,578,656,900,233,598,129,261,406,600,597,
367,273,828,242,305,924,579,097,695,563,707,775,716,693,605,228,257,835,062,
620,153,049,258,860,269,277,270,469,975,753,982,923,444,675,401,395,175,532,
349,847,677,817,461,940,146,269,700,327,485,613,259,444,689,208,572,163,540,
432,065,709,136,136,732,232,139,286,367,252,449,816,082,743,787,984,439,505,
210,783,990,563,814,385,088,639,111,059,079,634,211,235,066,548,462,374,091,
508,204,307,289,767,939,763,250,149,573,961,518,024,539,004,372,068,960,108,
258,737,143,177,214,948,397,605,910,887,586,798,840,716,338,958,287,908,935,
706,899,570,719,706,095,476,378,014,630,160,607,767,477,682,492,577,319,846,
364,675,441,098,079,328,021,341,847,921,435,554,681,615,207,950,366,727,256,
247,586,975,322,458,307,611,713,009,108,339,233,002,379,316,484,602,459,596,
722,012,827,300,576,220,147,327,207,791,189,336,948,719,976,208,720,413,684,
495,773,717,446,643,574,390,506,254,644,490,479,480,588,594,496,310,646,949,
513,664,630,312,501,719,724,978,689,045,461,040,467,971,523,835,029,695,692,
326,493,159,406,003,620,013,940,658,559,126,581,383,009,872,045,044,507,550,
053,950,048,814,342,571,526,076,178,354,100,195,967,574,563,274,877,109,648,
973,204,616,952,187,961,763,670,321,133,314,449,607,816,728,829,926,049,521,
783,927,383,307,802,913,573,218,856,387,071,404,452,062,292,683,939,395,390,
483,697,832,881,745,780,019,911,059,842,959,594,809,205,983,693,098,261,731,
605,191,266,987,283,711,969,094,894,716,127,448,564,551,732,101,165,981,654,
848,575,205,694,095,974,535,900,214,848,994,346,151,906,249,453,009,197,030,
689,388,123,773,105,827,205,585,942,350,143,424,026,835,265,120,003,388,178,
980,830,675,357,446,357,964,531,702,768,330,381,164,908,936,763,331,566,625,
850,807,555,801,704,431,888,469,715,382,936,972,528,444,437,438,242,626,723,
571,905,696,141,378,780,332,226,507,645,986,764,949,697,919,037,081,055,661,
287,765,770,893,523,095,181,775,948,864,842,884,099,480,349,384,598,525,634,
101,471,069,932,525,682,006,440,842,823,749,416,812,341,116,639,845,331,495,
533,034,556,004,823,363,071,136,534,905,861,205,523,023,970,649,800,170,253,
257,369,672,684,810,983,328,195,906,746,362,040,285,609,871,407,883,351,116,
578,168,473,672,750,511,645,779,813,337,619,263,359,095,118,707,652,736,880,
891,396,245,629,855,185,229,381,900,110,564,347,805,084,766,855,992,183,367,
604,027,294,416,840,936,504,734,330,082,315,480,023,841,211,490,725,745,375,
023,582,540,263,144,600,202,589,749,948,188,079,388,422,432,850,415,775,282,
391,850,513,063,415,956,037,389,178,613,709,560,880,001,816,158,774,400,826,
861,839,792,950,610,815,955,516,431,913,531,931,730,413,422,086,373,928,267,
282,979,861,587,883,107,234,205,875,192,765,078,437,613,127,174,560,972,961,
971,350,808,208,968,044,837,760,496,413,872,925,306,972,131,904,491,395,329,
770,725,358,786,682,706,024,954,409,894,931,620,558,128,868,043,053,889,504,
164,623,529,275,609,326,617,542,977,700,477,853,549,776,281,208,407,388,979,
312,791,606,392,199,151,116,771,860,091,330,444,349,560,955,982,072,518,296,
940,346,299,200,684,859,633,867,965,472,626,811,957,540,916,350,012,206,335,
899,425,485,201,123,246,858,472,319,218,079,769,244,720,265,718,100,289,362,
791,492,826,999,688,217,456,771,014,168,478,623,267,505,863,184,118,105,383,
271,701,761,984,347,263,235,005,703,138,108,346,888,561,899,487,535,880,975,
247,147,782,332,352,470,041,473,022,284,163,367,249,809,265,690,911,383,281,
581,840,598,695,951,739,516,563,768,407,595,979,811,642,496,045,543,197,699,
422,751,025,484,551,534,985,946,549,665,852,192,207,441,297,964,791,382,643,
415,118,628,809,511,989,677,491,067,458,563,312,317,861,733,945,580,383,023,
272,711,507,941,262,497,624,110,524,086,644,837,419,693,727,569,946,107,358,
103,534,216,228,845,606,942,592,787,128,380,035,666,274,039,543,576,441,839,
241,993,879,136,467,390,990,876,559,059,023,419,361,211,419,146,244,432,081,
895,692,248,420,867,943,572,953,895,256,449,523,838,077,619,145,452,999,343,
571,064,301,061,421,033,534,333,416,223,516,259,604,409,554,625,233,239,774,
892,667,226,487,982,234,248,626,304,996,548,500,717,543,160,402,972,460,325,
180,394,210,723,927,159,324,461,436,653,632,432,532,734,646,856,946,655,708,
575,056,040,428,190,285,189,283,339,435,140,732,294,681,322,966,299,496,248,
820,069,669,014,412,110,740,881,360,975,655,888,904,355,838,849,229,565,270,
753,365,782,803,806,720,552,005,636,432,360,266,304,834,006,644,902,986,554,
956,849,088,733,622,237,328,617,668,808,520,704,909,036,628,252,669,357,647,
780,900,675,291,145,029,015,889,010,019,665,531,713,327,723,146,877,112,128,
707,779,854,755,215,244,483,037,295,564,138,210,731,654,289,387,858,833,272,
253,782,083,509,386,485,737,561,776,577,332,059,730,657,806,248,788,184,502,
117,832,908,884,966,481,646,756,104,751,910,141,081,393,473,397,896,852,523,
759,314,639,269,670,803,085,310,274,337,942,806,665,239,424,005,154,342,094,
036,540,295,146,722,761,897,019,698,627,065,365,959,463,274,737,638,145,195,
571,673,689,293,219,427,204,251,109,520,115,309,363,031,845,996,558,021,543,
064,946,841,505,716,974,510,412,032,548,914,442,483,914,180,225,314,950,453,
987,882,445,843,075,601,971,739,384,896,359,776,760,554,275,912,036,900,530,
195,540,182,296,533,790,870,141,903,395,698,783,885,618,038,800,314,951,079,
377,489,919,257,208,535,254,014,491,703,556,064,032,555,062,983,112,930,868,
298,927,691,888,372,840,750,729,651,265,135,304,412,207,398,953,672,167,226,
803,457,380,832,226,107,706,019,795,447,539,549,060,848,261,325,162,810,197,
558,106,211,206,665,687,864,427,483,320,905,657,811,216,746,504,305,145,414,
234,789,455,566,870,301,905,660,130,630,510,369,486,487,511,423,062,951,801,
909,825,307,250,086,020,797,403,796,576,497,910,274,202,853,422,554,335,045,
012,828,046,151,555,142,889,083,255,184,295,307,326,719,598,063,280,480,089,
743,811,151,030,968,628,246,204,000,775,565,411,554,183,560,165,225,372,409,
023,852,833,137,289,409,503,532,338,605,250,093,604,068,429,683,280,151,674,
007,528,156,168,517,046,639,195,388,461,026,384,767,461,796,791,483,960,984,
275,361,543,136,837,490,407,235,688,236,867,684,316,080,444,372,244,807,699,
269,159,486,747,915,901,833,950,672,331,053,395,433,886,135,706,745,264,131,
376,893,757,429,007,296,952,200,464,320,192,840,727,273,188,600,777,364,590,
570,880,897,960,834,338,499,226,524,397,211,921,527,255,292,996,156,964,344,
357,597,233,640,987,908,191,119,146,306,536,107,869,411,599,593,701,789,340,
569,534,257,989,667,011,343,931,088,289,678,439,166,462,935,780,348,048,011,
850,006,403,187,678,865,501,022,583,720,107,608,579,355,212,096,785,281,026,
061,669,671,078,495,466,045,847,772,664,360,051,200,704,683,036,675,887,497,
090,522,310,431,320,544,321,963,542,148,449,623,992,265,175,570,455,097,068,
937,245,377,322,781,145,697,989,416,985,197,455,546,085,407,088,760,581,789,
397,596,081,325,531,574,261,089,943,179,471,762,562,279,672,180,146,275,779,
294,189,413,849,071,693,188,794,665,691,687,817,778,659,157,721,010,800,972,
722,076,956,254,314,715,583,877,558,324,605,250,257,737,624,609,812,631,250,
148,015,731,448,552,862,312,421,023,026,008,109,290,832,402,839,615,279,969,
793,456,181,968,618,408,500,603,119,467,320,035,218,552,260,079,892,240,795,
252,051,568,768,476,776,636,568,443,910,562,379,192,119,695,278,480,045,442,
403,697,871,895,641,551,910,731,202,394,753,592,825,220,122,015,635,744,439,
173,901,243,637,315,494,087,035,877,573,673,672,521,886,108,312,626,185,412,
416,615,144,038,538,145,292,024,380,608,888,837,621,891,040,747,646,586,814,
176,736,831,445,679,904,886,285,357,405,139,855,164,066,638,187,861,539,926,
024,132,230,571,679,267,960,706,041,820,580,024,069,249,667,763,946,231,246,
512,166,400,689,176,548,772,841,956,284,375,272,202,073,211,627,922,308,698,
231,460,265,679,067,756,249,683,987,869,775,279,528,050,264,475,735,564,934,
511,254,745,150,657,728,681,524,822,860,928,140,752,587,853,010,928,995,570,
388,603,790,517,484,555,155,976,014,836,148,773,666,087,749,270,796,382,530,
396,083,657,434,205,747,098,684,246,743,064,645,461,722,625,435,392,124,949,
759,535,277,467,497,817,815,440,425,868,337,174,941,505,063,369,710,172,375,
884,926,812,183,587,412,780,346,976,693,707,606,779,594,378,575,615,264,926,
746,660,832,593,303,518,185,750,623,390,025,876,900,193,362,474,928,247,049,
871,293,635,954,078,883,600,980,514,318,210,805,080,215,076,653,522,477,796,
735,466,075,868,541,343,295,330,406,465,711,857,643,809,009,352,439,840,909,
492,462,582,256,969,510,046,664,991,604,725,682,764,401,924,332,400,519,377,
884,559,477,838,736,319,786,136,972,571,563,680,841,337,327,840,415,852,629,
166,002,482,221,598,777,987,627,075,221,161,667,237,644,683,931,578,398,792,
842,265,536,218,851,110,130,423,306,179,439,036,809,655,309,682,275,437,175,
130,655,051,809,261,865,107,341,341,863,081,861,567,562,415,536,110,489,246,
711,784,923,115,604,325,249,214,087,501,476,650,423,386,432,217,463,907,695,
151,704,513,721,824,516,773,713,828,410,181,103,382,215,768,058,331,671,100,
814,849,207,584,304,636,652,970,643,030,587,823,857,230,567,104,365,140,427,
594,611,977,497,358,435,964,101,621,694,946,651,180,121,583,722,245,365,081,
986,408,610,531,876,041,803,202,037,341,580,751,687,091,311,141,887,596,839,
575,455,710,338,492,670,330,529,830,380,412,588,419,188,555,896,886,357,141,
815,440,934,537,954,072,581,129,765,516,886,295,616,277,297,710,731,682,678,
749,885,115,297,884,660,005,962,735,034,762,151,528,730,117,841,259,102,185,
094,950,066,904,737,515,106,406,665,872,396,662,827,149,519,249,449,484,563,
093,847,876,184,291,877,988,687,437,016,561,916,406,814,191,550,678,272,773,
438,296,022,026,676,803,593,369,875,300,995,361,763,319,058,368,304,840,169,
867,559,030,035,128,799,355,158,657,476,308,324,822,542,214,331,080,960,735,
511,206,522,220,964,163,753,427,894,259,829,927,217,084,967,267,496,464,634,
916,360,929,162,610,439,543,363,936,756,466,595,272,032,637,200,195,005,134,
394,077,389,009,596,365,843,209,679,093,010,993,963,426,669,846,016,933,002,
929,356,743,593,122,060,032,736,620,743,625,233,226,369,509,872,685,614,756,
926,056,968,791,698,110,480,963,082,450,533,766,470,226,174,940,291,125,182,
237,080,425,650,099,383,761,520,308,077,392,199,041,987,118,845,251,994,113,
348,559,377,710,667,519,814,180,951,523,300,868,120,014,650,617,348,725,388,
265,193,445,831,167,242,611,336,048,400,754,830,923,803,151,527,834,651,598,
265,926,254,162,606,776,218,899,212,641,673,173,062,013,868,181,486,360,927,
425,889,442,143,259,112,957,374,112,108,519,971,360,907,698,045,629,006,978,
520,406,565,756,825,081,228,440,471,248,938,082,543,009,883,896,197,976,658,
135,476,998,412,189,291,306,410,931,895,261,815,774,977,093,804,710,977,816,
260,940,181,252,859,297,679,325,952,174,122,922,670,522,538,602,409,187,157,
972,622,523,177,450,196,613,955,601,049,154,177,453,387,170,606,315,716,169,
132,688,361,966,592,233,613,174,529,235,472,849,508,703,160,411,621,895,074,
459,551,053,464,906,380,696,905,681,363,991,568,723,982,913,446,563,152,245,
538,643,803,989,892,622,088,819,054,174,055,436,976,156,063,378,097,086,238,
397,099,703,818,008,495,419,891,321,422,819,579,161,294,455,783,530,017,364,
587,733,585,681,986,241,524,875,204,333,549,573,261,042,454,727,555,092,648,
946,638,241,135,476,079,548,257,975,831,253,606,566,583,735,318,337,059,146,
470,111,512,542,768,746,145,844,560,926,695,333,885,747,279,152,371,723,654,
155,156,820,835,114,399,826,328,035,812,026,508,246,766,911,241,704,518,118,
559,381,591,299,487,840,474,788,777,245,695,559,533,634,581,412,127,760,339,
242,859,379,633,680,387,065,150,800,090,850,409,190,739,553,757,963,113,216,
456,092,556,280,277,215,512,579,554,054,152,692,152,952,053,488,089,372,182,
140,617,741,835,823,306,412,121,236,092,260,491,980,242,991,932,523,292,604,
539,691,542,196,557,288,496,400,204,569,359,938,866,104,934,835,163,695,293,
540,778,459,628,617,762,635,131,076,855,288,601,659,705,606,999,395,741,734,
016,565,395,899,469,684,994,001,866,829,098,720,462,446,965,087,451,006,807,
447,973,824,145,824,659,465,176,531,576,560,446,600,360,056,437,031,187,157,
135,421,096,615,033,733,440,642,439,897,265,379,749,251,626,386,814,804,407,
260,233,510,051,981,568,917,016,194,135,057,648,309,733,307,782,730,204,330,
212,594,909,361,999,606,012,230,087,854,191,041,028,580,717,697,793,488,300,
791,942,826,944,496,111,492,728,061,965,267,912,775,048,431,805,819,920,205,
035,261,442,314,208,708,806,883,926,109,343,350,083,097,070,527,436,047,537,
593,083,880,220,144,970,893,625,819,162,838,510,490,875,619,411,035,508,300,
213,346,329,194,423,419,894,064,693,519,697,420,981,835,506,595,173,900,333,
815,043,504,284,205,966,711,598,144,260,501,318,699,748,300,748,366,941,116,
204,559,805,250,116,364,002,680,980,183,977,427,989,253,359,444,627,657,026,
979,912,810,836,984,575,623,142,654,211,955,752,261,358,325,327,968,172,144,
951,396,102,006,228,989,579,822,216,216,720,496,334,015,332,745,399,523,778,
270,443,338,071,675,156,348,085,824,663,390,347,254,165,076,193,912,548,169,
802,755,425,347,487,652,807,934,635,222,005,665,616,599,250,422,186,878,252,
732,648,126,792,089,234,026,672,351,681,934,857,386,919,173,459,676,597,593,
627,800,010,761,689,135,799,129,217,498,758,268,290,399,964,282,488,913,153,
919,037,949,459,353,414,111,133,806,979,842,271,671,217,745,225,755,848,163,
085,982,232,109,228,985,804,693,692,921,542,647,106,609,118,872,825,148,042,
763,220,437,652,201,539,813,647,574,707,720,270,845,548,656,853,536,577,264,
041,754,568,957,577,263,581,946,929,834,233,962,571,279,140,557,695,994,701,
433,371,860,810,191,780,035,314,315,329,342,105,289,349,575,319,185,387,542,
893,265,493,955,965,826,431,006,902,374,724,588,061,270,025,635,726,120,392,
187,969,476,931,429,416,965,025,399,571,583,708,840,734,051,835,520,347,730,
717,513,551,606,963,176,675,864,539,484,309,603,537,859,550,735,054,390,459,
420,281,791,867,852,304,620,274,167,692,197,151,254,885,582,112,840,859,518,
760,870,269,820,584,965,223,122,234,895,642,012,719,748,824,282,838,377,258,
227,889,233,456,138,010,238,558,038,046,139,895,715,731,347,502,967,465,836,
723,180,025,338,065,962,808,538,940,120,753,180,982,392,478,685,326,971,694,
037,461,757,766,734,344,371,455,374,306,607,129,015,202,412,150,773,528,864,
576,338,434,633,560,308,933,511,023,348,111,009,898,509,041,372,208,161,699,
514,445,435,332,302,298,274,960,995,767,797,166,431,565,956,580,388,986,019,
619,454,388,130,545,245,550,883,905,176,260,463,825,364,073,836,465,635,515,
954,171,503,079,678,563,738,824,765,901,547,138,266,578,797,603,436,707,868,
558,313,809,185,104,942,132,297,028,602,510,200,647,551,519,151,841,617,476,
284,789,199,609,362,193,553,373,859,894,738,539,781,501,701,453,941,315,810,
932,088,573,778,202,047,013,520,075,232,217,171,385,342,880,637,011,095,927,
272,584,469,320,392,114,512,468,682,587,520,406,395,125,582,658,359,676,993,
510,585,170,692,566,074,062,277,377,457,712,958,315,136,720,470,743,435,302,
527,565,907,891,715,844,748,340,267,937,161,700,411,128,698,213,961,480,645,
516,396,043,012,741,379,378,443,702,058,881,280,671,637,512,332,559,664,029,
536,849,246,280,150,082,771,573,459,639,124,881,608,342,152,367,590,243,525,
256,172,441,829,904,788,488,603,909,844,653,763,856,126,797,798,552,416,524,
968,053,212,418,904,551,084,974,649,543,123,332,168,642,625,978,154,476,731,
913,155,447,592,195,245,448,617,845,542,378,753,304,731,531,967,093,385,018,
184,266,302,641,595,036,157,485,959,772,511,482,154,901,673,020,247,749,244,
886,009,637,905,006,126,376,601,468,419,559,982,773,862,300,323,129,910,327,
408,509,833,280,661,820,506,793,492,801,805,411,302,598,813,612,274,373,917,
155,909,508,552,306,066,786,414,247,709,483,928,720,488,528,666,916,744,821,
888,050,003,771,795,152,361,701,017,983,377,688,435,582,630,610,487,909,697,
156,661,052,130,483,588,742,219,386,926,235,506,824,286,066,644,723,287,765,
086,791,852,390,985,075,331,190,482,472,698,519,471,745,132,173,341,606,058,
369,595,641,670,413,103,264,763,787,678,890,404,678,601,741,476,061,473,042,
851,759,216,705,933,499,893,246,653,337,088,721,115,395,246,286,205,548,695,
972,730,163,414,548,240,378,620,755,723,241,183,669,455,284,653,552,580,723,
612,725,305,811,308,430,992,657,152,813,681,426,455,334,774,956,051,376,959,
169,908,204,175,012,661,957,478,029,841,134,115,742,835,841,224,022,069,483,
385,458,357,476,035,484,200,673,405,164,576,708,048,330,955,553,938,664,941,
477,204,470,832,540,976,147,734,385,851,501,131,456,996,544,895,247,196,116,
920,359,146,094,707,603,224,056,680,903,657,532,959,667,992,745,125,683,311,
945,809,012,743,576,975,141,911,502,348,051,587,981,593,586,976,509,590,122,
912,358,954,375,581,944,296,766,345,418,362,436,080,503,572,669,279,133,260,
473,454,644,194,386,248,250,672,943,046,545,336,449,503,267,495,567,146,349,
861,273,697,526,106,156,961,429,267,530,819,853,380,235,634,311,963,648,038,
160,603,785,575,944,290,541,405,138,983,752,999,769,783,924,680,760,607,768,
462,715,494,237,096,173,355,260,800,192,775,914,756,617,700,002,046,825,900,
442,017,823,302,812,923,594,944,224,797,374,657,807,048,117,278,385,161,538,
596,709,981,042,460,699,850,075,373,989,778,375,822,564,873,678,615,855,539,
119,833,492,337,202,373,073,628,346,190,330,007,824,051,363,921,960,266,055,
639,385,475,445,276,532,379,135,371,219,699,422,743,101,047,537,608,662,187,
747,982,810,498,207,892,778,811,949,509,896,517,393,756,214,238,024,343,286,
695,036,485,459,007,627,880,857,379,904,438,637,483,187,841,037,151,578,452,
530,323,645,115,248,511,446,786,548,477,402,679,658,985,772,181,426,744,423,
688,090,794,763,797,232,115,167,318,359,697,335,983,460,968,615,368,306,568,
802,581,168,969,998,694,410,939,073,182,485,352,156,170,489,291,202,147,272,
302,773,229,023,936,889,899,052,596,098,837,344,979,381,678,271,681,896,454,
648,295,571,222,330,298,353,430,798,417,496,710,068,952,934,860,287,989,623,
311,070,099,112,609,405,742,592,141,541,169,786,537,937,484,795,001,438,399,
770,703,428,630,734,584,537,030,367,479,199,047,051,412,393,231,407,259,093,
730,166,076,787,594,528,766,338,328,057,962,199,632,751,921,700,012,714,784,
021,750,322,390,996,873,480,505,026,422,118,169,499,143,500,986,719,783,803,
954,428,062,061,051,197,809,662,227,836,306,758,057,109,275,607,033,378,337,
938,696,306,599,096,004,528,091,455,770,300,280,356,004,239,042,488,176,381,
430,096,796,210,900,718,500,461,444,431,411,360,939,554,390,583,546,894,056,
125,497,824,135,435,839,003,882,073,795,291,764,762,485,287,367,641,367,909,
693,776,273,446,488,036,834,764,463,555,533,874,859,043,684,511,306,813,167,
040,038,042,473,982,580,736,927,232,090,464,200,260,303,175,861,554,246,561,
021,221,592,372,333,023,804,894,266,448,382,835,568,307,276,776,807,603,072,
096,535,819,993,106,024,283,251,100,866,084,902,306,505,540,037,659,316,283,
968,188,449,007,533,079,877,957,491,271,709,776,698,969,061,721,774,946,796,
978,774,648,379,126,001,740,631,562,245,435,785,923,802,533,201,995,785,358,
901,877,866,270,578,865,048,001,763,205,267,225,643,472,425,773,380,410,576,
107,591,489,800,252,169,145,149,270,536,284,518,938,635,758,676,032,157,214,
441,400,013,918,636,675,565,843,246,045,389,877,724,728,957,207,297,298,722,
059,020,819,683,183,318,228,624,488,818,516,048,270,518,687,496,720,036,959,
694,304,203,447,476,330,829,050,863,500,018,286,136,093,502,031,514,621,760,
721,978,782,349,660,967,170,089,075,833,812,998,648,010,947,348,462,812,861,
926,059,831,553,602,407,871,663,966,808,903,987,955,181,430,927,528,996,564,
280,968,721,356,133,944,142,317,884,755,272,947,380,083,533,710,328,543,350,
614,351,314,560,098,352,223,760,367,009,691,827,623,422,454,287,137,668,567,
823,673,613,334,747,837,012,283,893,538,014,627,576,069,356,267,940,188,116,
370,902,615,164,356,488,196,152,128,333,081,468,126,661,685,447,129,614,616,
334,434,527,092,770,095,568,440,331,642,845,873,700,599,005,173,709,698,271,
718,693,236,238,905,388,752,194,560,312,766,141,813,366,753,775,405,689,233,
038,980,614,501,098,071,100,873,469,406,710,587,113,155,695,461,410,488,795,
814,003,163,350,878,771,567,736,858,218,726,802,227,362,355,677,772,467,069,
708,484,399,139,498,983,919,572,325,587,901,719,830,749,252,251,799,294,659,
084,096,077,771,354,411,589,267,103,008,469,922,970,094,707,792,683,382,570,
235,917,885,793,177,142,528,269,019,449,871,498,900,314,876,184,819,360,413,
339,021,689,452,176,490,380,474,282,754,955,330,786,180,384,921,711,368,504,
101,935,227,067,264,212,985,747,024,569,208,723,393,051,236,835,277,669,448,
837,464,294,479,179,913,103,148,769,204,017,307,614,806,297,497,581,814,129,
950,988,465,556,287,552,491,462,298,875,548,089,434,172,718,358,444,590,269,
221,743,251,198,501,285,414,812,438,986,340,380,257,016,012,085,294,885,100,
869,785,376,310,853,083,100,960,265,990,422,583,006,139,347,865,555,440,953,
195,819,760,940,525,788,974,804,014,185,935,930,445,963,516,843,680,149,077,
621,999,364,228,009,310,827,316,972,714,666,781,012,697,860,431,959,829,114,
864,117,891,582,407,087,817,823,415,836,995,514,328,143,327,145,738,356,050,
590,400,721,441,553,073,297,680,777,549,071,408,044,421,603,885,777,232,176,
208,977,177,328,528,987,953,565,019,087,470,699,156,056,168,531,073,922,383,
102,599,279,918,148,483,369,817,986,572,350,199,803,822,510,019,930,703,765,
340,189,980,686,349,302,195,744,880,069,935,140,482,738,181,061,835,143,579,
832,746,966,008,415,221,350,440,681,888,209,477,795,053,422,858,802,483,366,
243,758,091,396,292,751,410,642,281,718,244,015,618,463,606,752,084,822,946,
467,103,447,532,914,283,066,834,631,095,205,650,162,774,766,330,138,296,621,
326,100,457,382,606,868,446,346,807,601,112,921,961,195,885,913,598,604,419,
909,807,382,060,986,454,460,727,650,819,313,062,877,343,932,478,028,986,749,
189,237,347,889,821,343,200,569,387,499,814,362,615,678,409,860,928,080,188,
106,962,672,041,829,838,149,436,777,938,717,766,394,610,930,677,302,231,422,
298,272,953,124,767,824,151,317,946,246,271,637,767,578,157,165,352,900,933,
788,948,099,474,358,293,686,512,391,076,088,901,514,468,880,694,876,435,836,
357,707,210,975,292,118,673,991,836,375,189,950,109,860,898,809,222,881,391,
712,722,752,679,936,313,135,225,277,955,016,623,363,107,359,386,703,172,085,
566,770,915,159,329,079,207,159,577,385,923,248,482,888,993,572,385,457,623,
551,557,101,806,432,989,989,161,430,825,838,087,024,276,191,501,159,443,369,
619,038,747,085,741,119,484,477,840,369,886,207,000,316,999,082,657,643,982,
185,917,847,058,667,075,995,632,177,190,721,792,203,549,274,581,793,985,198,
025,529,343,463,169,988,904,994,230,402,754,185,377,817,554,569,423,864,677,
290,680,552,817,472,070,541,942,581,448,305,849,736,511,070,725,533,980,527,
121,747,148,848,721,949,445,101,000,668,456,627,375,494,613,972,762,994,428,
295,604,546,082,179,403,130,008,582,972,914,956,591,477,386,131,296,866,000,
701,642,553,965,361,526,994,369,683,654,779,519,037,062,717,564,882,057,837,
047,746,011,337,300,296,760,954,828,855,318,889,428,221,148,910,047,116,834,
696,696,463,199,142,439,459,876,262,530,131,139,318,172,356,167,345,860,895,
097,632,455,271,478,624,739,086,739,083,353,700,987,745,918,052,458,215,707,
791,645,394,014,959,439,077,907,301,779,370,388,292,426,710,046,145,609,911,
052,856,119,830,660,232,808,641,538,740,403,513,980,876,584,677,868,668,070,
910,391,305,222,015,361,287,742,210,090,749,939,148,810,288,853,943,844,117,
518,752,780,188,654,345,776,810,389,613,092,577,666,053,985,114,821,920,008,
674,065,364,354,906,316,207,339,986,629,874,665,462,155,113,840,509,128,808,
727,398,807,742,872,667,752,686,761,585,916,025,001,151,532,987,723,727,058,
698,989,695,514,676,323,079,191,154,599,645,583,779,439,275,749,709,756,591,
033,134,551,634,461,945,720,373,595,682,242,802,915,249,614,111,670,876,078,
631,622,298,894,060,823,787,154,775,818,096,175,905,133,581,296,727,406,196,
285,377,239,799,676,698,300,437,631,567,334,655,156,158,819,849,250,437,708,
388,327,559,003,776,843,540,718,171,320,887,793,222,298,380,657,306,242,987,
940,365,531,308,811,206,536,311,828,689,541,874,594,170,009,456,475,821,793,
447,784,852,600,904,446,168,739,467,953,435,996,078,751,772,520,189,203,253,
231,964,162,193,280,453,363,073,213,828,870,801,927,135,035,851,924,148,960,
542,656,480,012,930,624,322,302,090,441,090,918,294,865,804,394,571,401,049,
560,219,108,367,377,599,556,695,706,994,487,557,829,222,279,639,185,256,675,
146,061,934,463,608,066,622,760,751,615,878,984,653,081,067,001,088,296,586,
486,075,928,353,749,499,157,636,857,243,326,533,007,038,330,101,424,919,916,
593,554,220,189,827,778,807,653,767,044,264,515,552,346,731,709,760,054,039,
847,379,536,211,243,027,592,600,776,226,385,975,716,259,587,818,588,858,187,
111,771,384,326,575,256,029,259,328,340,230,267,447,111,156,881,642,483,225,
744,533,434,161,158,591,258,684,908,410,528,666,984,876,013,795,857,658,976,
453,635,543,332,566,697,507,984,909,733,075,487,510,893,633,638,692,925,130,
221,705,337,244,488,630,986,608,371,270,759,708,502,732,072,283,299,780,271,
915,725,215,237,825,749,884,862,786,598,991,304,344,464,232,568,755,692,343,
902,972,238,474,632,806,410,746,507,913,891,334,447,022,555,479,362,452,110,
081,661,487,866,053,241,198,421,006,224,303,416,759,241,600,788,967,968,957,
635,588,665,207,167,124,093,870,137,935,005,920,331,079,874,386,843,662,636,
300,129,842,438,056,892,357,535,042,114,211,224,329,439,122,416,496,411,522,
333,140,748,728,262,118,591,946,591,202,711,327,760,482,203,803,465,772,644,
675,379,938,531,772,657,880,989,234,243,851,847,284,910,171,343,436,450,100,
547,046,194,241,202,634,016,970,950,284,628,337,473,527,306,126,671,852,426,
270,148,175,133,260,318,244,482,795,070,134,755,011,403,890,677,502,738,025,
439,883,033,813,362,816,932,608,104,730,813,441,529,784,087,183,793,726,753,
168,174,903,959,017,483,417,745,160,137,268,602,115,906,236,424,275,354,605,
179,821,075,121,580,910,214,172,354,833,454,623,505,112,092,847,926,718,631,
483,553,307,231,454,975,534,875,433,825,349,356,442,342,909,054,516,126,640,
286,118,277,488,469,826,745,510,073,795,948,882,201,737,568,585,248,186,789,
137,223,822,942,498,410,132,257,717,733,376,499,803,505,251,858,911,689,213,
514,973,355,635,887,781,919,750,552,990,995,967,356,527,397,351,761,286,884,
683,678,124,704,254,697,631,349,752,982,996,538,364,779,596,948,790,996,661,
966,382,190,358,556,161,634,289,215,036,067,448,286,576,701,206,484,028,069,
340,103,228,205,650,007,122,486,644,437,452,366,413,395,219,917,495,069,454,
564,432,671,624,627,060,099,248,466,307,072,781,046,879,451,685,159,954,402,
800,276,654,244,373,797,429,386,396,946,432,580,020,041,289,311,607,084,163,
448,257,018,999,427,038,764,808,912,475,973,236,721,667,144,593,917,987,994,
414,582,519,621,921,249,216,190,522,675,912,923,875,045,700,060,332,184,168,
389,661,492,567,712,389,634,155,541,839,798,149,334,339,252,356,171,228,815,
140,630,296,191,618,738,217,819,344,256,010,413,360,634,452,753,582,249,499,
010,620,832,739,619,620,566,508,086,295,164,063,546,173,876,369,930,275,417,
098,146,546,725,145,784,483,866,878,333,892,446,339,813,467,533,057,925,450,
645,510,967,434,521,754,029,956,799,877,527,301,914,787,466,516,941,679,087,
141,993,114,082,480,642,685,414,117,911,945,460,517,432,167,699,929,011,096,
713,269,657,548,316,361,367,724,588,564,625,516,758,824,393,259,783,443,863,
598,014,145,942,916,770,050,627,706,616,390,259,780,939,884,443,444,992,241,
166,944,998,093,496,022,314,687,564,488,450,058,873,294,590,438,867,694,129,
959,675,028,047,026,876,889,959,805,614,414,235,712,873,394,791,544,921,926,
406,936,520,033,978,990,006,549,634,045,908,394,477,319,711,345,562,977,607,
370,563,533,994,895,414,186,631,476,280,266,231,251,173,993,274,555,422,698,
851,503,121,019,794,251,206,256,916,446,699,785,935,274,052,602,513,226,129,
048,647,651,273,826,235,914,709,612,254,546,012,715,669,202,808,957,410,195,
615,222,081,511,321,655,711,636,994,641,925,470,327,770,411,181,552,022,924,
616,079,917,433,901,592,753,606,599,077,014,433,241,353,619,373,007,098,868,
345,149,495,306,530,407,132,814,104,243,661,823,140,005,505,352,872,107,123,
034,086,940,668,502,638,638,690,961,625,025,138,833,035,292,037,564,142,722,
213,690,535,657,576,459,957,067,627,672,339,218,307,773,626,558,601,201,652,
820,608,875,819,854,111,849,227,551,962,490,976,591,049,139,145,673,754,862,
306,360,374,012,026,160,043,416,065,971,905,047,736,047,473,200,283,579,641,
007,257,166,787,485,632,215,116,615,165,665,355,427,335,273,120,836,501,467,
855,360,747,979,779,829,519,159,958,818,315,985,139,836,726,614,943,508,818,
005,517,745,778,687,597,650,832,488,895,349,763,456,792,758,048,722,795,102,
965,909,183,932,359,566,996,118,176,996,901,089,312,732,515,654,469,840,720,
719,469,234,048,022,119,011,753,744,226,671,231,719,293,552,528,266,435,827,
427,510,187,424,174,267,508,152,424,116,753,520,152,713,904,492,514,334,856,
017,030,096,996,062,020,625,486,651,029,189,921,372,067,757,235,582,876,164,
872,003,098,721,851,392,295,799,934,991,262,217,949,368,314,408,958,071,380,
589,720,109,585,411,410,029,420,164,477,811,856,992,217,935,278,889,259,400,
552,456,057,722,739,324,264,571,460,942,276,410,755,251,684,430,772,790,187,
692,284,131,246,549,324,972,495,507,868,306,518,255,965,416,383,156,530,889,
804,653,912,011,323,826,708,126,219,977,056,145,756,235,478,240,955,153,791,
101,356,285,613,400,871,705,594,718,322,676,370,717,226,852,918,156,367,184,
878,871,155,771,027,337,345,980,618,296,054,973,292,202,522,195,007,249,656,
987,891,263,339,624,426,107,552,638,099,722,766,873,862,462,366,801,564,296,
103,535,710,983,981,500,166,625,033,597,095,572,461,189,068,257,535,903,308,
531,290,176,058,564,023,264,293,108,857,232,237,263,800,277,312,715,756,919,
190,204,931,961,392,271,923,264,506,820,901,791,223,982,840,023,721,760,778,
809,138,948,370,215,976,567,996,502,115,567,289,477,460,485,901,412,754,914,
118,679,166,648,587,120,049,218,057,291,012,749,277,680,250,541,703,962,436,
346,953,000,801,519,087,896,813,190,901,973,749,465,681,122,156,595,791,657,
228,268,603,044,357,708,283,379,860,484,274,643,190,279,460,525,570,710,889,
081,780,189,551,684,563,099,227,023,300,593,452,489,385,678,269,254,756,571,
871,498,987,733,587,213,610,161,175,695,321,686,662,070,030,459,165,075,773,
433,180,953,842,868,944,656,448,468,772,602,208,263,230,852,866,801,395,769,
866,410,698,842,015,668,253,225,405,233,240,668,437,117,237,287,049,675,337,
469,275,042,257,107,033,568,980,870,503,103,277,599,670,237,955,667,117,833,
700,737,327,640,964,490,998,089,429,116,736,852,024,448,623,716,361,552,129,
225,456,407,658,315,369,665,520,431,774,532,709,714,433,176,638,293,337,067,
107,605,743,210,928,304,978,774,045,870,965,726,331,797,924,989,514,690,592,
575,951,816,775,491,317,391,040,416,416,911,754,825,743,274,740,406,896,857,
841,108,412,265,164,449,812,542,166,065,927,625,045,959,320,418,297,375,718,
115,529,859,651,259,014,359,220,468,452,365,545,870,090,783,608,764,777,687,
184,833,121,293,686,564,513,418,033,322,955,070,576,362,160,197,241,641,718,
409,813,593,500,025,715,091,551,478,557,621,324,051,731,789,592,595,310,919,
767,585,223,894,341,264,471,402,951,623,839,079,646,054,741,824,762,260,414,
918,714,633,579,465,705,263,548,260,353,809,798,851,163,545,035,571,216,532,
921,206,720,158,507,578,129,736,450,965,050,854,280,762,352,124,381,012,079,
930,764,881,958,625,172,672,100,789,824,970,075,278,414,067,862,547,183,366,
548,908,132,601,699,831,303,915,278,053,712,039,494,449,110,121,254,056,475,
238,504,941,286,580,428,329,789,403,762,286,007,493,452,079,712,536,566,644,
560,377,648,496,528,670,601,817,507,286,853,272,738,244,281,963,126,259,134,
572,806,378,393,105,337,858,187,650,164,789,213,158,435,189,042,080,450,132,
690,160,497,788,896,345,315,600,993,486,367,741,387,930,934,024,636,353,579,
716,899,607,963,780,899,623,357,585,256,459,019,037,337,331,247,926,338,863,
007,709,864,875,470,529,218,211,813,304,849,904,559,977,923,346,163,364,647,
597,319,962,184,673,920,384,761,878,618,386,187,107,271,784,119,134,024,373,
377,253,130,279,245,181,343,527,632,941,075,929,408,476,426,503,636,265,814,
529,559,397,775,743,568,913,849,692,676,080,843,662,397,325,330,159,425,629,
264,194,731,059,654,254,091,972,873,315,205,071,324,850,452,141,947,355,828,
487,965,931,033,154,099,339,099,609,317,676,501,419,858,629,473,188,385,770,
717,064,326,835,255,143,093,797,335,636,336,411,149,872,961,079,997,067,057,
211,801,800,916,811,793,214,214,275,176,714,866,059,505,753,031,448,517,074,
188,935,491,164,500,493,822,483,280,596,407,903,473,592,269,686,666,153,446,
931,105,389,379,525,802,998,217,919,006,349,130,518,722,450,419,440,316,513,
220,641,577,540,092,946,825,920,264,584,091,730,340,501,892,984,733,818,717,
366,864,895,428,940,406,955,003,151,064,659,886,495,892,948,254,269,143,776,
939,514,984,162,283,475,913,222,841,158,837,305,489,739,433,506,870,351,916,
966,830,581,047,307,895,458,234,026,603,839,417,369,230,303,783,516,490,552,
123,940,601,459,169,242,563,485,256,397,774,146,454,185,582,518,944,155,574,
442,491,828,988,242,102,751,068,257,211,251,859,170,999,757,418,617,603,860,
942,779,719,448,551,844,495,777,750,498,031,363,327,227,020,374,516,902,729,
582,032,803,077,935,186,420,840,208,315,524,486,365,625,376,765,270,458,924,
283,004,029,000,112,172,274,796,065,151,739,203,411,943,682,477,609,600,153,
367,208,918,848,835,203,917,305,860,919,223,839,490,052,513,717,268,821,836,
454,216,879,873,685,193,889,003,031,563,375,774,175,396,423,139,770,266,983,
813,558,452,007,741,743,936,034,750,713,494,304,785,936,079,906,269,067,874,
756,507,104,763,128,481,480,936,416,497,693,830,747,304,874,797,181,855,867,
904,324,340,374,377,115,988,688,124,491,650,278,486,544,300,617,384,998,132,
182,767,733,486,158,120,325,256,023,073,804,633,067,539,756,110,868,594,173,
287,519,448,835,780,154,934,925,803,149,240,820,266,009,689,122,517,355,460,
292,241,634,436,556,076,935,949,528,832,595,875,623,720,044,164,296,467,820,
816,486,628,648,746,964,454,219,219,328,084,773,671,837,389,379,867,303,187,
243,691,439,871,284,341,220,281,939,884,971,210,055,110,626,696,884,677,332,
165,980,251,863,576,521,593,228,600,000,482,514,754,877,157,258,453,259,948,
496,786,765,064,878,963,526,856,757,487,949,293,347,158,683,314,774,623,640,
028,150,501,973,638,101,269,195,961,045,212,408,396,352,525,269,185,249,504,
447,291,834,341,910,595,512,488,272,244,503,289,130,919,743,971,069,687,241,
619,955,205,568,790,317,170,807,897,038,634,859,522,933,127,489,270,428,309,
459,235,035,140,427,224,985,298,023,830,951,375,642,497,248,858,991,171,480,
077,083,155,061,477,254,445,455,508,426,437,298,713,616,390,104,854,046,961,
130,096,086,729,980,892,054,708,477,734,188,127,219,041,436,431,792,678,329,
370,358,531,063,328,233,654,769,774,593,201,513,157,480,475,997,904,151,477,
191,746,813,548,181,656,671,225,150,834,545,769,122,706,559,950,067,004,779,
927,253,676,069,816,595,616,817,817,790,819,668,247,722,203,648,869,303,057,
910,372,424,043,769,082,792,459,232,904,112,315,708,190,039,171,848,174,642,
224,083,419,328,645,418,787,927,502,405,918,705,832,798,607,175,089,191,819,
711,013,165,144,128,073,895,933,971,682,162,596,228,519,708,513,941,035,927,
744,886,615,152,354,663,024,762,155,989,498,312,128,982,714,931,526,605,568,
936,551,291,833,975,683,785,589,963,553,717,259,823,635,609,894,790,211,407,
399,252,470,957,345,580,773,639,669,668,488,270,126,981,786,484,644,331,189,
545,474,737,162,803,642,060,190,058,755,530,040,862,138,435,107,005,170,040,
161,368,212,178,648,833,972,517,472,422,652,042,629,347,988,342,657,461,138,
117,900,254,531,076,169,759,459,167,669,192,513,581,619,312,839,386,122,961,
899,130,906,257,666,496,578,355,417,612,993,400,674,757,691,425,032,211,252,
340,993,597,639,344,348,718,568,213,184,931,250,027,818,504,890,172,961,506,
755,985,466,839,477,993,548,741,303,023,962,285,116,534,456,405,744,074,175,
819,712,572,802,310,439,306,270,807,977,495,967,983,014,291,506,500,369,716,
174,213,331,781,628,503,266,141,333,632,979,472,851,848,720,862,674,474,874,
979,083,773,625,692,969,064,479,837,725,809,519,748,273,824,130,641,802,106,
715,788,949,558,200,341,584,738,336,861,124,318,432,286,820,136,326,680,529,
127,594,466,301,252,796,957,909,687,885,853,751,180,328,565,574,541,024,420,
328,624,664,739,091,626,080,884,538,993,139,685,192,258,956,000,580,913,501,
474,940,530,706,606,827,274,834,569,081,047,850,457,453,872,380,106,622,536,
326,121,940,913,395,942,297,781,260,803,397,654,587,994,014,362,757,020,727,
742,565,191,331,881,615,827,878,320,743,248,217,897,239,090,589,742,542,412,
345,889,905,727,923,443,496,667,916,820,486,420,558,162,114,668,475,540,539,
636,506,828,937,681,985,751,130,749,276,851,575,007,885,599,217,903,188,523,
825,357,341,732,251,117,171,707,634,368,496,460,663,280,467,113,267,190,431,
306,754,686,526,693,276,854,493,776,868,841,921,935,617,423,231,892,772,291,
951,198,378,280,572,433,295,592,030,937,001,886,062,807,335,598,906,280,295,
843,922,194,170,831,866,039,395,256,287,511,730,763,059,624,280,373,237,047,
415,548,963,363,781,792,652,299,252,422,483,115,416,340,066,135,924,057,685,
277,493,108,470,768,209,256,418,245,423,785,976,686,358,570,374,746,876,674,
090,143,013,080,370,388,769,950,347,868,620,642,554,548,530,636,396,727,110,
391,757,265,965,789,783,000,085,520,475,028,246,844,537,902,340,382,688,758,
945,305,977,055,001,122,340,073,022,253,622,831,845,478,137,017,199,706,002,
115,158,586,217,456,372,708,395,279,142,722,408,629,622,225,109,705,597,891,
083,307,740,335,731,444,080,143,325,612,094,657,153,108,494,250,913,007,518,
477,785,257,070,501,049,043,333,947,622,591,626,437,003,333,588,509,175,855,
300,699,313,528,478,841,487,971,210,833,428,439,359,812,183,652,769,511,610,
023,221,710,044,868,311,987,533,054,228,757,220,017,696,612,278,820,883,533,
848,946,568,048,005,260,345,924,923,692,669,247,055,233,462,895,090,678,395,
735,837,353,531,935,572,717,135,278,604,550,347,436,632,297,055,484,409,667,
189,628,229,214,523,751,823,496,001,154,840,242,703,712,895,095,946,218,433,
594,938,573,039,402,046,968,760,209,666,628,958,668,350,883,313,246,533,904,
354,715,988,293,858,776,665,284,597,621,426,071,639,493,357,573,898,286,317,
313,468,492,761,116,072,962,263,248,132,249,784,183,204,467,971,641,481,009,
929,240,019,309,367,876,544,077,601,548,501,219,465,879,026,380,499,158,866,
437,126,533,155,765,571,960,163,391,632,673,766,927,613,412,409,996,395,025,
733,844,507,550,539,001,681,494,485,408,889,138,706,517,416,299,134,689,392,
464,117,134,533,464,135,541,457,123,844,175,182,863,924,135,892,240,554,395,
859,059,992,290,242,525,535,784,441,061,445,792,917,392,696,178,794,477,390,
288,784,244,873,407,902,551,754,787,761,277,701,184,865,503,888,536,799,741,
849,863,126,927,417,368,861,109,891,223,969,117,196,518,561,699,504,429,565,
088,678,683,320,424,735,121,634,144,343,354,830,723,372,608,143,941,668,899,
954,497,936,905,247,849,204,751,376,241,892,959,978,623,063,491,296,608,820,
128,937,802,416,993,936,561,866,262,669,973,669,581,264,702,729,220,564,465,
019,192,953,573,288,285,960,917,913,781,562,384,973,141,388,109,996,544,329,
939,299,276,332,422,137,904,640,696,646,693,296,996,760,206,150,045,256,705,
082,047,795,973,048,533,341,967,623,361,342,156,774,239,664,233,443,925,312,
759,128,648,197,058,392,055,361,644,758,980,422,976,740,544,401,971,188,663,
934,476,414,432,278,137,682,345,005,224,242,809,406,534,174,478,358,841,306,
451,562,184,025,557,648,194,097,388,341,530,015,970,965,542,576,780,596,667,
307,888,460,933,523,401,342,716,317,212,274,391,300,748,020,812,679,456,016,
928,511,584,990,365,760,533,090,075,377,775,393,561,726,718,124,850,926,632,
290,890,401,466,478,701,798,223,422,429,563,433,285,818,086,236,095,032,905,
828,904,025,806,678,511,561,605,366,444,060,539,066,912,357,527,519,883,006,
747,663,590,788,454,231,340,464,202,183,522,291,109,482,355,214,761,599,667,
100,564,672,857,626,780,069,535,306,347,260,782,945,551,351,449,194,626,762,
531,461,507,334,612,222,089,907,706,328,196,190,729,985,698,084,379,283,300,
974,334,410,870,497,864,834,496,539,970,117,512,338,605,491,920,749,323,413,
122,231,233,147,351,464,067,672,722,013,057,454,794,870,744,353,940,610,583,
960,702,247,673,539,273,265,623,787,344,005,098,026,541,006,178,865,283,955,
987,789,330,233,072,128,848,107,243,404,625,667,224,613,534,055,253,947,683,
419,320,174,611,384,842,570,716,639,056,581,498,368,894,516,331,906,195,033,
544,543,350,511,010,343,359,723,194,429,489,102,142,396,931,753,650,943,790,
667,964,499,640,098,304,755,378,298,811,792,349,308,698,379,820,977,251,741,
240,465,441,260,246,432,013,714,601,636,874,191,997,026,892,882,044,855,324,
260,772,442,948,006,361,645,643,075,210,070,671,646,616,913,308,372,989,172,
295,935,079,528,119,923,660,129,138,191,162,347,493,379,481,495,735,661,276,
510,266,371,196,849,280,488,488,601,961,980,905,109,225,868,112,300,100,040,
908,105,003,804,592,992,164,581,407,416,167,222,747,365,788,704,261,207,679,
940,675,163,420,066,427,036,629,087,766,705,173,870,997,691,438,277,929,520,
724,944,894,853,990,083,574,960,733,609,574,275,673,814,212,040,693,924,699,
403,371,081,531,922,700,829,310,766,763,747,576,098,605,807,133,107,657,652,
647,673,591,264,672,147,218,889,102,763,969,085,250,450,026,789,299,695,669,
015,543,357,614,838,583,070,827,665,780,147,373,680,984,803,355,395,329,679,
435,331,276,001,915,497,078,918,273,374,400,275,074,315,185,377,699,242,544,
190,078,931,228,539,143,919,195,739,814,901,507,116,092,367,034,177,724,140,
212,965,139,140,380,059,884,125,819,646,522,020,772,786,290,449,411,897,144,
046,465,267,812,318,694,915,353,380,212,645,058,633,585,577,464,408,389,209,
538,024,129,658,152,460,911,687,731,646,469,251,150,067,140,840,922,342,431,
816,270,226,339,547,386,043,926,691,027,746,707,032,141,208,584,042,116,941,
523,884,017,620,578,898,842,855,607,272,364,935,752,401,692,091,152,488,589,
205,244,102,390,214,027,548,149,251,713,483,814,948,362,922,900,255,045,401,
299,110,520,188,015,758,796,263,342,703,144,272,867,273,064,651,823,398,596,
314,739,121,562,583,226,394,232,713,692,840,674,294,594,871,896,045,238,694,
124,028,912,090,807,704,841,263,323,250,883,342,831,045,643,486,784,091,017,
573,656,721,314,480,641,893,010,660,325,769,793,721,565,265,494,719,802,608,
219,622,696,804,829,887,831,783,733,366,263,614,555,292,132,052,135,585,690,
026,789,293,835,010,071,912,036,350,019,036,608,670,516,350,604,724,190,749,
054,532,937,816,208,036,633,195,797,387,259,951,674,473,771,187,585,966,559,
314,590,006,574,970,769,366,082,526,813,536,899,379,358,763,253,853,682,963,
117,035,998,921,067,961,319,572,057,431,224,696,766,713,798,114,501,642,529,
896,009,243,180,667,937,507,696,190,438,242,838,499,813,530,114,438,299,900,
282,901,886,992,426,196,979,143,295,921,463,029,877,947,577,781,146,957,891,
725,336,677,701,610,649,227,543,622,878,866,531,178,332,200,652,925,293,512,
861,737,041,555,999,073,041,923,934,917,055,941,004,476,040,781,560,658,105,
213,381,328,274,479,765,276,741,320,144,078,572,937,473,956,144,072,381,326,
330,751,198,742,847,623,748,612,167,286,663,783,949,012,877,642,214,432,024,
873,772,883,790,727,625,712,289,713,874,196,783,878,866,101,438,870,298,041,
471,787,728,241,475,879,963,595,693,192,811,646,117,344,862,524,773,305,269,
993,943,932,920,482,286,399,793,526,751,359,053,320,817,254,549,874,191,322,
123,236,692,838,493,493,761,120,757,851,670,372,614,377,237,215,500,976,352,
897,415,253,536,493,617,918,362,104,516,981,561,974,809,996,883,140,251,074,
346,709,576,688,307,867,552,039,178,535,136,746,848,660,042,593,232,769,628,
780,393,449,015,777,726,868,063,001,722,656,125,071,953,334,028,365,481,330,
006,887,815,999,154,633,645,531,921,783,516,571,961,645,323,265,746,667,655,
183,956,814,940,425,793,334,635,060,606,080,135,325,588,661,812,312,257,213,
597,828,095,500,696,183,331,982,652,745,358,929,031,830,264,591,963,596,060,
222,248,233,985,033,823,299,868,617,081,969,349,753,186,329,051,851,764,110,
098,443,509,816,120,797,062,042,548,639,300,930,467,070,984,755,181,518,882,
032,768,040,783,017,348,554,567,578,989,991,983,998,562,482,920,725,908,841,
834,210,047,416,434,002,733,839,249,254,462,026,494,140,899,503,203,849,915,
495,061,727,513,333,955,800,974,897,457,824,291,287,916,027,626,449,536,347,
701,820,776,849,738,735,301,117,325,690,462,952,824,802,209,053,654,322,127,
581,172,874,092,213,719,221,535,764,432,498,021,306,937,571,870,905,616,432,
748,929,554,187,887,230,634,444,104,167,346,235,590,858,021,872,672,573,997,
220,766,993,970,614,970,346,751,370,263,069,385,707,146,739,698,305,136,621,
270,968,288,086,891,904,660,023,445,301,973,129,220,845,362,369,124,218,434,
085,108,389,597,575,878,933,533,624,451,457,132,003,030,719,768,055,438,445,
279,237,546,084,836,384,599,856,539,266,661,476,268,607,693,695,791,221,904,
762,265,596,422,295,174,558,303,256,623,395,778,940,796,168,638,233,527,104,
835,614,591,478,821,654,756,726,554,281,527,507,002,426,296,992,268,022,176,
828,316,071,086,599,467,830,909,837,425,454,763,248,131,239,878,042,343,337,
773,364,469,531,038,613,487,986,306,425,242,224,398,890,773,090,723,569,096,
780,833,453,294,463,720,159,589,626,173,661,567,905,433,215,937,832,145,794,
874,892,813,795,915,262,804,903,777,016,486,384,887,165,604,387,258,506,183,
305,054,026,063,323,136,443,884,032,624,808,189,931,977,835,456,885,960,216,
798,934,714,191,595,677,500,413,979,521,239,765,400,644,594,694,473,874,620,
090,344,620,536,870,380,335,930,611,592,683,973,221,945,556,892,207,836,992,
424,504,725,469,959,972,544,783,325,494,952,720,452,388,962,201,019,697,226,
316,012,007,131,116,821,534,455,709,337,789,718,581,180,812,362,734,079,264,
264,925,489,374,793,178,085,941,879,757,645,512,870,483,875,753,020,894,491,
522,735,379,429,448,210,162,979,290,070,869,898,443,380,961,127,968,196,696,
171,344,256,258,280,555,621,963,230,852,619,508,877,019,971,459,042,744,908,
635,203,538,058,672,111,473,854,561,285,198,984,291,055,669,213,205,569,229,
511,495,458,011,632,638,216,892,799,233,655,559,431,366,081,829,575,115,000,
112,511,022,341,981,372,223,788,616,605,041,932,699,586,868,927,560,447,900,
377,779,985,396,112,719,445,716,519,102,080,670,834,364,845,781,079,898,338,
387,607,370,743,368,567,458,431,870,514,403,913,047,428,605,038,902,675,520,
878,773,313,847,354,009,302,111,897,275,490,305,104,463,972,363,683,385,727,
738,463,704,561,541,937,902,033,089,247,190,992,915,323,503,682,662,430,150,
167,445,172,696,296,923,376,756,410,316,980,454,423,527,547,561,131,219,248,
854,308,545,697,490,921,757,917,742,035,348,251,292,671,435,088,010,854,870,
617,678,844,561,826,340,624,714,781,503,437,504,108,703,329,863,049,786,084,
624,303,337,639,447,053,234,922,557,851,439,429,245,524,243,578,146,440,512,
144,027,054,955,762,882,918,958,158,351,235,467,107,174,328,911,839,015,493,
108,249,890,027,515,236,516,180,240,363,742,510,670,175,038,129,922,743,440,
855,495,478,952,469,126,581,421,470,289,943,398,351,382,059,959,000,593,695,
942,625,509,682,553,180,332,139,076,450,877,195,827,650,966,646,337,291,491,
947,656,725,592,461,911,061,274,227,771,575,397,845,582,203,493,916,693,217,
386,250,774,374,898,177,577,835,202,596,490,593,230,205,679,061,125,359,008,
941,642,972,041,261,757,827,011,581,654,648,858,585,811,281,091,107,165,763,
777,145,349,960,438,688,516,625,343,951,487,277,727,967,123,617,475,489,166,
366,377,587,408,405,845,353,243,435,791,080,166,173,896,281,519,381,921,259,
142,771,418,749,554,036,283,548,683,489,907,736,709,475,549,997,458,375,395,
045,799,813,024,344,566,765,051,043,321,915,016,872,539,589,887,308,255,904,
854,912,330,382,323,893,085,381,308,830,543,561,486,163,793,269,013,218,328,
520,610,914,533,840,812,634,303,367,446,002,630,702,792,836,481,593,104,365,
528,697,174,401,649,299,974,968,752,044,257,988,148,240,041,085,888,280,819,
428,101,514,829,414,417,613,467,232,515,566,400,222,290,597,776,017,611,250,
291,445,889,460,012,804,745,466,092,406,576,222,508,630,965,415,415,862,962,
610,459,193,344,250,837,025,381,456,163,232,987,427,515,608,446,245,095,799,
534,365,918,316,431,428,205,230,008,400,615,619,675,976,759,410,227,538,647,
251,678,214,747,451,037,114,777,675,828,624,604,517,690,173,730,146,379,808,
498,960,506,007,673,287,737,234,658,148,081,471,079,119,933,394,795,975,332,
116,437,613,364,988,654,406,168,433,478,026,338,083,564,282,707,609,223,940,
338,792,272,739,521,158,134,316,148,926,345,699,890,994,931,588,174,886,820,
493,164,388,775,493,849,415,636,835,550,059,791,914,040,478,608,464,203,837,
197,797,428,264,383,972,657,479,243,843,973,647,822,287,893,489,475,861,648,
213,556,230,758,886,360,136,454,564,936,143,096,535,429,691,477,827,620,418,
067,111,899,507,430,241,991,081,358,983,641,545,956,582,284,652,949,533,188,
917,196,866,572,580,571,382,623,801,588,487,041,096,490,132,296,113,031,417,
055,313,122,222,107,633,616,433,024,727,596,360,798,275,770,434,911,055,345,
350,711,231,784,738,231,470,880,304,621,796,789,011,612,173,496,587,871,189,
977,608,851,325,995,279,427,351,642,179,424,716,345,960,613,350,389,689,927,
342,774,356,525,518,780,103,135,598,647,423,010,942,523,991,791,374,317,835,
882,317,164,423,810,019,943,997,193,453,989,999,795,020,836,977,666,766,481,
169,561,045,606,619,069,348,886,130,417,218,474,186,734,205,462,853,352,356,
843,436,166,985,015,978,692,833,098,673,471,258,935,448,232,409,223,165,071,
227,540,508,294,725,356,350,121,138,148,978,551,138,438,847,413,156,818,469,
896,137,631,383,362,925,238,036,567,425,731,493,753,304,302,603,542,536,970,
529,321,027,492,600,826,384,146,963,935,453,800,194,582,499,671,955,751,445,
900,381,985,341,396,632,301,610,909,086,462,399,252,511,060,263,720,604,648,
795,880,312,914,716,464,545,514,544,179,704,494,495,185,725,302,543,291,581,
593,450,958,561,863,730,715,053,538,742,169,177,321,474,399,365,127,782,493,
070,027,633,286,147,292,405,983,214,100,188,018,284,532,002,387,256,321,454,
790,973,843,886,827,163,262,522,955,985,997,987,036,621,963,564,529,529,968,
339,944,498,245,781,560,206,015,254,512,316,748,606,472,378,389,465,529,415,
448,440,043,157,274,629,368,061,611,406,976,284,625,861,819,304,061,388,722,
431,978,572,907,432,481,282,045,250,737,157,004,214,367,877,717,400,056,509,
779,079,486,696,235,444,471,547,615,831,633,877,406,277,865,162,892,170,474,
819,361,656,487,582,013,549,408,308,294,491,757,806,344,719,106,078,478,041,
455,321,231,341,934,394,250,953,591,394,253,327,700,274,649,105,654,448,495,
413,817,010,434,065,690,004,343,419,957,616,912,121,486,308,446,273,985,700,
658,017,715,104,961,652,306,329,753,986,224,832,497,060,538,967,325,125,390,
991,899,210,546,722,455,691,312,810,851,526,294,260,938,305,210,252,831,858,
506,628,339,141,150,738,394,207,601,023,582,899,178,437,307,045,572,153,885,
638,037,435,537,691,555,322,591,856,067,119,946,055,470,509,070,980,833,627,
188,908,755,925,694,479,866,047,070,484,799,509,931,772,584,678,250,961,497,
244,199,254,604,281,523,564,285,814,554,548,624,951,894,859,801,207,140,590,
689,805,271,551,420,508,978,936,151,590,088,341,676,376,836,886,118,869,444,
436,231,624,850,233,930,405,034,361,458,251,506,170,308,292,708,080,554,667,
079,126,608,448,955,540,348,842,821,717,769,792,522,227,565,339,946,476,204,
644,284,692,540,564,861,535,375,614,731,947,372,980,966,260,032,921,730,736,
303,589,919,457,920,914,231,133,377,436,552,169,904,380,600,254,324,811,711,
680,084,541,926,027,335,633,075,975,869,068,988,822,862,131,794,504,710,307,
531,240,922,952,797,808,823,331,472,384,404,190,109,943,896,472,470,908,202,
439,307,583,050,493,561,732,891,584,781,426,811,622,681,108,011,675,000,503,
685,997,247,710,846,720,089,887,431,454,235,220,676,156,492,201,825,204,045,
964,257,613,046,311,094,060,730,042,880,277,260,518,681,287,711,972,295,779,
729,429,727,103,156,994,554,590,792,920,166,092,354,701,276,140,976,367,094,
660,660,024,583,742,858,738,054,409,622,688,572,708,794,890,329,836,916,850,
906,345,238,016,476,950,543,693,890,048,889,945,228,908,734,305,496,702,936,
779,788,359,456,813,975,763,218,659,080,652,360,486,286,955,370,833,956,538,
912,709,304,219,221,496,646,006,425,365,304,829,069,774,944,108,895,323,461,
401,506,682,500,137,514,544,174,144,742,712,267,446,942,591,469,930,224,765,
272,934,332,152,249,556,016,753,499,171,321,846,051,035,369,045,770,622,924,
930,602,702,335,847,102,342,181,335,714,628,350,524,285,730,268,501,611,038,
514,259,505,188,965,865,739,261,732,417,041,249,915,665,659,226,232,135,967,
766,682,939,719,792,388,142,181,687,614,530,458,029,560,464,348,617,887,434,
001,322,253,604,852,804,965,567,571,378,758,121,593,127,315,114,289,693,147,
257,914,028,441,132,699,879,222,094,665,401,139,061,185,134,688,536,381,228,
093,305,057,282,827,035,359,028,973,240,539,229,405,862,506,335,257,747,529,
914,708,040,271,770,260,920,763,419,607,375,265,618,166,174,808,570,169,177,
697,912,906,787,132,945,798,475,927,367,162,170,428,600,028,755,077,119,789,
856,036,933,674,222,464,854,443,740,180,883,813,415,147,279,320,802,099,869,
880,660,226,298,704,079,941,837,360,895,827,290,781,290,055,664,019,227,671,
517,660,587,774,884,453,622,821,528,989,954,665,154,329,134,571,552,829,327,
284,226,412,213,387,793,118,085,313,770,517,738,439,618,608,303,850,691,504,
617,109,201,499,563,599,149,309,539,246,486,938,467,349,034,750,088,689,775,
879,666,173,118,382,395,581,213,239,038,211,971,982,511,195,479,963,709,552,
722,076,713,533,113,861,137,564,639,060,479,213,342,251,241,177,508,806,916,
401,872,880,995,214,532,740,370,597,015,523,169,730,712,828,922,606,243,795,
367,429,726,127,308,277,736,636,408,774,136,925,745,415,222,925,706,399,680,
474,508,998,717,133,851,483,278,538,439,258,254,864,942,031,126,789,448,955,
489,492,908,042,943,558,381,811,053,052,591,964,449,371,629,895,829,443,353,
330,476,954,759,021,199,603,131,349,959,279,231,514,299,963,788,673,059,850,
503,501,714,455,796,058,381,595,786,449,382,614,706,441,971,991,263,944,758,
010,793,746,184,890,519,620,683,553,110,870,768,800,721,465,671,709,389,212,
432,120,089,064,298,795,931,366,487,881,877,743,624,860,297,048,603,990,464,
314,076,071,878,502,387,054,047,584,092,563,375,290,974,396,436,991,089,161,
128,898,086,296,431,757,231,158,899,239,243,020,458,528,400,250,472,195,572,
618,912,399,712,534,026,531,618,942,444,794,361,694,072,528,266,872,292,325,
930,230,342,608,132,864,650,901,850,790,183,760,882,784,960,681,620,654,190,
119,498,600,979,299,414,402,905,196,905,392,971,405,831,002,735,543,598,284,
981,239,030,415,388,930,533,323,204,637,200,628,245,472,245,128,640,627,149,
808,594,950,840,090,743,221,727,329,346,735,579,432,524,104,113,391,659,076,
224,161,935,747,693,703,909,848,001,194,697,630,053,635,063,433,972,734,031,
413,108,098,062,248,934,721,312,348,210,510,007,022,128,948,880,812,912,477,
736,481,463,280,225,651,142,946,973,845,012,169,788,936,960,331,348,391,142,
140,810,898,341,046,831,325,435,233,799,414,154,152,184,857,518,892,927,156,
345,827,128,824,306,154,999,235,291,450,087,382,188,683,140,408,022,765,495,
224,708,840,215,696,239,370,340,533,554,211,990,832,956,910,884,654,712,437,
724,252,917,998,024,178,446,531,654,841,083,873,262,694,760,699,828,008,796,
382,870,492,011,152,465,086,762,928,536,435,445,254,363,562,484,179,976,642,
299,571,177,717,989,156,142,326,990,998,900,511,226,992,405,464,740,474,370,
225,219,764,951,050,410,745,772,523,280,277,855,096,736,030,092,970,538,278,
842,096,574,151,310,425,215,750,383,128,446,935,293,457,594,271,064,197,165,
962,021,902,950,380,934,044,090,478,598,997,794,249,965,131,613,691,615,395,
166,960,271,309,637,081,063,584,375,928,539,283,227,977,846,631,479,926,360,
575,981,478,687,197,891,373,200,844,112,394,998,288,782,694,958,801,316,801,
931,049,115,066,337,147,122,693,230,855,900,399,043,364,398,087,732,140,111,
695,013,586,411,956,324,928,663,975,344,270,779,109,292,880,079,694,710,070,
634,828,517,102,775,328,548,024,175,750,031,285,849,925,505,070,730,795,868,
861,207,631,033,088,783,422,444,551,982,943,320,119,987,687,294,159,349,715,
171,987,572,104,041,961,018,488,861,742,412,289,615,810,222,485,931,865,259,
433,678,610,608,308,635,383,593,556,996,700,173,029,450,675,174,183,159,175,
738,981,868,911,787,694,969,950,450,472,249,577,036,379,668,514,818,575,335,
446,306,772,700,024,988,573,398,233,686,236,545,113,645,917,909,681,480,559,
955,010,655,331,962,875,919,160,613,643,373,410,671,900,725,090,093,448,766,
177,606,436,349,653,192,085,109,424,448,317,857,211,466,713,538,954,202,974,
894,120,411,265,585,682,255,046,930,163,784,262,669,820,392,741,221,114,897,
566,074,189,546,987,747,350,577,576,327,816,955,518,381,400,588,470,789,280,
885,301,307,623,354,688,015,602,404,218,389,353,946,215,635,245,576,875,150,
638,921,674,072,410,165,190,849,508,691,942,855,143,590,327,417,959,911,198,
937,651,405,108,127,791,936,526,807,548,264,748,397,522,232,827,970,207,786,
628,148,727,998,756,834,560,389,156,491,348,431,506,495,037,544,293,169,154,
020,468,435,489,117,357,198,783,256,562,144,248,077,194,196,089,511,070,598,
105,176,630,312,592,961,274,458,540,236,775,355,575,394,921,770,732,836,955,
492,525,537,956,323,821,128,859,726,126,717,972,087,877,968,488,232,612,843,
357,357,448,745,814,927,546,115,226,825,526,471,061,412,940,995,340,521,831,
669,778,127,470,093,578,251,578,432,788,594,504,072,828,238,175,671,467,230,
703,498,383,877,199,748,533,805,451,837,778,109,563,290,662,954,118,121,408,
075,202,708,169,046,623,851,377,270,816,492,524,353,346,466,835,141,600,798,
407,496,885,104,707,696,772,133,058,897,591,956,984,676,791,842,802,190,197,
666,182,456,851,690,963,191,461,918,463,622,418,902,415,234,972,309,834,030,
896,929,491,870,655,307,775,954,324,597,540,110,782,585,701,571,085,422,728,
434,687,118,218,379,401,518,430,154,873,896,736,598,247,698,455,079,364,421,
938,835,015,233,993,789,515,022,914,380,310,686,339,329,268,628,586,143,547,
918,163,041,387,847,411,527,463,754,044,251,894,037,945,731,816,110,311,816,
833,772,995,079,905,087,934,445,552,739,982,506,576,295,695,619,863,411,497,
126,417,776,183,561,399,678,309,125,165,358,039,210,773,228,904,546,895,523,
181,494,435,214,998,868,341,122,711,063,918,041,867,176,210,679,603,605,188,
684,894,838,685,559,450,391,567,356,398,485,154,484,600,756,864,823,970,147,
665,794,787,058,025,134,390,891,685,434,849,650,828,175,776,905,389,250,785,
601,290,714,612,357,248,418,622,685,539,244,524,591,440,050,520,644,894,714,
393,484,281,048,546,021,336,729,606,725,936,473,063,651,554,588,636,045,217,
276,540,051,801,223,067,874,932,720,484,459,862,853,345,511,903,262,675,043,
227,513,156,220,483,428,635,191,547,848,360,943,233,784,967,910,053,592,873,
490,283,842,457,799,592,267,285,472,956,177,036,259,822,698,891,254,484,058,
917,082,066,617,969,196,571,557,035,673,480,035,238,849,469,348,324,744,725,
962,967,396,638,510,570,832,755,892,955,602,204,479,707,552,371,503,598,970,
172,680,888,463,619,728,188,303,451,769,082,109,475,374,772,608,143,694,521,
119,759,129,105,068,313,561,517,652,316,164,169,425,441,138,360,804,779,919,
414,370,446,798,451,056,862,924,438,189,366,059,125,070,359,731,132,333,524,
133,061,528,165,899,773,036,013,037,475,618,682,252,558,045,804,806,013,000,
449,667,167,428,237,595,080,505,600,356,408,283,264,440,390,537,731,375,995,
310,899,984,712,613,185,924,570,592,929,554,487,524,642,281,359,980,785,353,
851,773,566,954,833,377,732,011,488,302,669,376,062,118,936,653,050,127,088,
691,057,797,749,303,631,289,952,908,113,189,579,030,668,850,962,650,794,277,
759,628,777,085,642,156,265,900,139,677,462,864,660,215,201,560,725,644,592,
988,180,006,834,333,847,614,932,672,110,677,554,093,586,872,167,451,253,088,
383,738,221,183,204,408,583,799,065,009,383,877,579,020,259,510,848,686,486,
917,248,751,094,647,699,665,832,793,458,511,862,154,047,547,809,086,066,812,
132,946,794,111,693,054,588,332,047,033,859,571,736,690,428,208,903,319,899,
274,644,687,299,044,814,898,449,808,013,736,371,332,366,199,218,502,789,969,
659,827,723,746,315,277,294,563,433,493,653,002,996,159,188,082,673,485,925,
117,934,472,917,216,027,012,451,946,875,545,315,249,387,058,909,585,909,333,
074,038,080,308,278,911,872,117,213,365,019,498,376,489,500,681,124,637,401,
468,462,284,419,767,695,599,574,535,994,231,649,737,086,447,720,577,467,595,
200,315,108,415,923,923,543,386,864,273,769,368,865,299,938,717,372,070,221,
784,111,602,561,992,434,258,729,513,795,246,719,959,954,713,220,767,962,475,
060,848,324,649,264,258,437,728,929,354,668,602,515,777,638,594,265,718,071,
229,667,976,712,643,415,513,856,838,209,178,595,855,907,366,582,923,407,171,
292,466,164,931,570,074,736,099,036,210,443,438,964,292,860,237,428,840,048,
039,693,065,016,053,217,636,143,471,471,482,990,190,692,532,815,975,161,230,
810,399,921,201,920,352,611,383,452,701,037,857,003,160,966,101,370,427,213,
449,858,701,505,029,996,680,438,635,619,636,787,743,485,253,364,342,019,956,
597,778,822,277,392,179,229,645,165,710,067,980,941,925,371,816,625,050,257,
287,010,621,126,426,028,401,308,847,260,139,572,946,703,600,098,387,292,286,
052,202,498,149,050,809,709,896,654,959,429,513,831,810,217,040,513,803,827,
925,251,724,474,185,208,255,676,713,024,238,881,776,866,285,680,132,051,142,
350,790,063,959,368,849,851,078,981,182,251,828,075,038,101,905,484,706,336,
110,273,830,470,416,322,983,410,699,623,555,343,562,283,724,887,524,895,225,
444,255,026,915,053,213,814,018,653,429,138,881,783,009,314,114,891,468,030,
637,487,644,493,560,866,646,946,788,453,872,510,623,793,773,681,364,970,115,
839,049,406,929,402,125,563,648,992,610,633,739,308,789,693,307,941,262,548,
216,870,514,345,518,712,015,154,298,909,697,673,362,160,010,123,130,060,061,
800,362,179,463,856,061,160,494,968,813,581,278,133,657,682,183,685,521,824,
304,351,549,330,666,285,446,379,507,012,022,962,525,623,001,230,351,237,666,
550,068,418,890,353,685,038,060,195,841,454,288,988,121,205,630,796,525,759,
116,590,753,022,235,837,596,370,043,135,592,609,000,029,340,602,769,161,399,
809,122,472,767,504,492,696,182,611,320,482,565,045,985,821,292,670,263,015,
550,488,895,942,661,891,916,056,528,228,013,356,083,384,087,703,445,702,304,
491,406,662,744,318,639,809,139,753,619,733,731,087,801,516,996,672,866,996,
138,269,695,634,463,155,761,977,302,588,131,843,075,933,294,612,008,839,998,
861,966,357,157,699,253,776,971,084,346,185,619,196,275,793,978,810,525,587,
289,100,032,762,948,828,473,237,141,231,498,238,335,289,936,020,099,398,590,
915,987,629,535,991,623,253,095,368,377,658,069,908,492,502,946,454,383,498,
185,926,063,879,839,966,311,060,131,736,548,094,843,474,815,847,176,851,338,
548,366,358,535,410,546,332,373,626,023,674,340,566,454,102,784,498,476,074,
058,869,832,407,620,964,718,798,637,970,086,916,342,930,368,116,029,012,167,
858,199,440,136,298,220,834,326,571,742,132,763,445,442,862,780,733,399,631,
073,532,482,973,811,300,711,514,811,898,289,800,892,265,080,506,998,607,174,
862,898,068,506,581,658,976,596,483,717,123,891,677,114,336,670,560,468,977,
182,368,470,721,642,930,978,482,655,666,524,764,303,630,444,998,854,591,592,
586,460,661,144,930,844,230,093,662,628,729,940,474,570,688,861,813,421,173,
861,522,214,659,608,989,239,245,264,092,607,152,214,244,249,377,498,188,876,
857,744,976,321,432,439,135,145,058,546,000,109,522,122,653,993,579,555,828,
147,302,746,170,700,960,107,530,705,184,427,196,773,498,198,662,844,887,551,
499,917,051,650,596,709,416,716,896,059,878,496,018,582,594,674,941,536,296,
281,242,168,410,941,826,384,829,730,846,280,492,670,533,880,414,112,634,786,
346,891,928,705,620,728,863,809,670,261,312,709,208,483,640,170,411,599,369,
700,013,457,092,961,276,001,158,346,354,052,739,696,200,829,314,857,522,176,
833,640,019,159,137,238,606,484,897,022,636,602,700,433,624,471,635,164,807,
316,405,475,910,566,630,563,963,906,872,735,858,485,761,799,090,801,218,756,
316,396,185,343,827,669,464,264,851,015,964,485,711,053,296,129,963,435,713,
245,918,855,543,414,520,798,916,505,110,950,260,341,895,676,033,729,905,492,
817,229,403,831,165,457,319,137,149,498,996,043,322,314,617,995,347,302,529,
997,437,644,873,733,639,520,685,569,744,548,755,610,657,967,850,153,730,163,
079,770,345,344,195,462,841,196,473,542,607,655,947,774,809,452,282,361,953,
099,491,077,703,303,537,433,386,520,212,707,360,769,772,754,199,046,478,197,
121,736,849,592,942,609,228,788,960,817,424,994,240,083,436,687,192,548,813,
760,355,905,242,570,996,032,455,796,696,730,881,386,656,006,502,246,035,627,
281,151,905,262,037,934,279,915,808,471,356,742,781,934,248,943,107,026,567,
069,724,942,387,195,803,181,681,987,818,245,977,545,162,386,516,577,497,601,
209,218,343,355,941,414,857,317,238,530,854,618,191,486,563,140,564,903,898,
861,641,992,568,358,966,357,747,317,297,775,819,774,110,835,703,364,582,081,
511,101,308,386,887,081,029,962,051,235,401,836,237,792,019,392,063,507,209,
705,734,773,005,672,751,576,329,500,238,252,330,186,242,188,907,506,707,201,
533,088,114,023,394,642,651,571,320,724,623,582,543,600,858,121,576,619,702,
770,243,679,216,069,853,387,865,179,151,609,587,944,590,422,645,769,488,369,
835,726,397,908,516,147,151,804,867,380,777,951,549,074,604,793,082,582,309,
630,040,333,487,505,662,575,103,083,403,577,191,370,785,386,702,327,899,398,
334,647,128,621,840,940,699,823,765,499,880,333,429,622,734,898,381,318,210,
016,607,178,856,080,717,017,831,103,085,844,253,718,339,889,954,675,999,385,
854,198,280,748,541,880,658,948,346,043,882,822,892,065,655,173,225,165,813,
437,547,500,643,990,777,324,906,867,920,542,385,590,314,915,534,343,923,369,
252,513,932,648,193,203,136,333,800,947,208,738,485,632,384,608,898,092,481,
019,074,437,391,925,419,530,019,574,419,282,330,712,034,283,103,316,049,517,
939,369,008,401,185,948,448,798,772,199,684,363,842,003,474,632,257,280,825,
551,797,962,202,899,343,745,402,488,172,951,719,991,753,126,850,883,478,701,
490,172,157,198,231,425,157,165,514,139,916,943,235,811,488,810,349,359,527,
357,028,735,917,066,021,246,846,601,275,404,211,157,083,063,018,994,005,403,
032,945,956,069,113,650,529,058,132,708,947,069,461,915,618,383,866,593,335,
283,793,216,116,028,515,451,482,303,046,695,232,956,307,941,998,136,494,819,
776,433,657,332,470,711,933,579,173,318,347,872,772,831,014,735,802,820,087,
392,075,544,767,284,856,336,396,008,651,287,340,611,827,460,905,372,180,433,
881,762,121,904,676,020,598,233,865,430,852,613,689,104,534,231,629,769,249,
066,750,890,940,029,177,376,227,587,243,164,570,574,550,714,626,679,289,965,
335,453,986,562,152,047,968,714,367,969,816,831,389,005,274,790,627,852,959,
894,693,305,906,630,326,965,645,745,330,903,132,265,213,167,614,732,687,945,
573,590,297,399,685,042,287,676,826,656,681,380,102,638,817,870,371,760,933,
305,130,111,177,222,485,574,807,475,215,685,246,399,995,250,527,950,008,780,
121,967,246,840,772,058,310,373,842,416,758,799,059,969,529,922,546,509,731,
624,311,023,346,082,365,742,234,335,483,334,467,903,266,839,564,340,074,612,
867,118,275,291,433,846,525,513,988,680,649,536,582,096,996,050,290,189,816,
695,668,874,145,395,487,797,920,894,480,369,809,157,369,010,068,848,477,463,
342,796,624,157,717,237,961,389,381,970,168,346,101,065,362,999,327,188,487,
397,880,796,825,541,178,786,654,537,085,709,722,791,279,802,530,634,603,889,
027,828,014,498,221,042,549,663,150,551,896,097,051,216,042,484,143,085,831,
702,643,696,523,310,083,903,080,325,365,851,166,918,609,412,753,920,703,151,
790,994,121,339,751,491,990,748,500,379,414,209,993,995,601,417,232,089,877,
988,652,213,352,993,245,851,439,196,421,839,108,641,780,904,278,530,727,848,
442,223,090,426,836,425,006,589,887,654,287,317,725,472,719,946,724,315,576,
180,107,908,970,700,539,752,934,218,012,831,039,559,658,615,535,791,915,641,
260,484,803,956,848,326,562,613,784,513,310,817,639,376,302,147,318,556,109,
084,105,233,546,193,774,357,499,600,919,757,071,297,983,980,108,601,778,179,
632,257,527,699,386,280,646,576,574,055,269,665,701,279,230,372,732,135,235,
565,844,739,916,994,487,637,376,736,589,114,625,790,656,829,131,802,302,055,
038,075,910,621,536,089,478,496,655,948,446,607,024,460,336,101,522,497,344,
684,958,462,780,966,168,032,822,175,563,243,931,472,508,525,673,878,747,682,
605,728,691,946,300,678,434,513,537,932,077,745,134,077,962,894,245,515,296,
005,436,884,682,583,712,241,117,012,963,609,669,710,035,511,901,403,411,692,
690,530,309,233,528,639,421,927,081,438,401,049,780,988,911,972,695,401,974,
266,870,342,583,337,082,701,644,190,763,642,566,488,771,713,365,137,520,801,
182,080,522,959,833,121,447,776,658,828,610,965,943,247,577,748,662,474,139,
579,960,210,246,663,583,803,273,196,822,779,309,065,890,469,767,212,801,172,
378,905,688,626,787,979,303,809,705,312,800,102,129,817,750,482,230,138,333,
447,600,855,411,270,164,097,981,720,252,614,756,203,202,774,768,528,551,063,
094,003,082,367,667,465,390,948,067,399,238,972,802,381,944,623,437,096,399,
337,960,584,675,982,931,355,413,109,569,134,230,135,945,165,300,442,680,958,
527,326,698,406,702,865,879,564,932,607,775,358,020,443,017,788,301,681,649,
908,697,466,640,615,516,937,075,547,229,708,823,183,067,234,134,634,093,870,
204,643,887,857,507,446,685,183,761,320,899,273,055,641,968,897,334,794,456,
485,918,519,571,209,180,648,990,672,216,296,654,366,298,418,751,364,951,533,
255,397,310,686,053,184,659,125,727,632,244,566,174,868,620,106,717,489,886,
158,685,808,593,937,698,655,047,880,457,393,824,257,864,918,738,927,861,350,
313,240,814,569,252,755,850,347,337,060,636,522,131,649,082,932,852,595,980,
928,814,032,327,788,293,994,805,881,766,062,677,446,352,703,870,048,267,057,
992,926,457,392,427,580,681,112,480,097,631,209,198,639,711,998,754,353,771,
430,493,445,232,615,770,611,968,867,990,501,334,557,087,770,743,274,978,389,
500,287,678,022,428,257,696,749,421,914,962,774,852,041,452,698,707,255,233,
868,975,794,138,468,761,652,633,845,313,876,881,333,781,911,624,730,482,633,
446,618,137,369,451,587,689,627,477,970,039,266,719,254,885,734,101,138,718,
069,537,950,973,259,937,968,643,251,530,865,868,692,438,464,814,991,476,616,
726,122,209,350,009,012,605,395,115,357,417,622,453,004,007,228,872,365,346,
749,480,338,988,783,052,317,936,625,362,322,730,205,191,386,824,522,347,193,
700,879,858,618,428,426,851,041,859,871,464,537,987,834,297,470,324,011,719,
219,882,509,721,050,773,402,222,533,132,872,545,364,395,735,934,543,905,451,
830,484,700,688,236,596,691,838,524,265,511,142,520,181,620,275,452,986,858,
027,547,162,468,661,655,864,034,821,261,517,913,760,481,548,421,593,980,251,
578,829,227,423,291,206,515,575,984,952,209,329,035,597,191,281,677,613,820,
616,049,622,632,955,903,618,465,893,040,429,732,956,110,808,445,929,294,554,
854,370,275,280,021,735,831,811,612,883,866,301,907,652,360,766,851,280,858,
351,800,664,939,410,948,292,942,379,524,792,812,369,174,668,254,663,653,235,
371,886,804,116,826,938,393,236,175,068,742,448,962,441,599,582,568,363,284,
333,575,309,594,458,878,550,371,727,755,800,165,681,107,215,399,469,609,584,
651,943,816,314,007,812,561,600,126,711,980,222,361,378,329,324,000,717,820,
498,192,824,752,378,017,636,619,700,428,162,035,292,872,928,614,708,732,915,
116,318,615,394,822,323,605,241,556,617,280,450,988,475,182,949,313,624,989,
627,692,746,627,780,822,637,761,656,431,095,788,275,550,830,023,667,993,912,
491,864,107,541,931,826,973,000,524,574,250,148,573,362,181,188,697,526,873,
856,577,724,433,360,744,829,085,675,000,917,603,836,805,012,756,478,877,801,
209,303,478,830,843,337,243,113,805,232,235,943,881,949,265,388,218,136,958,
726,918,717,897,072,962,069,675,509,717,892,273,350,649,994,596,766,217,933,
177,699,683,786,633,668,582,044,855,260,338,608,793,634,207,317,499,655,036,
119,078,373,682,785,304,396,794,400,016,511,151,763,628,423,410,325,099,843,
878,856,936,291,426,735,213,093,747,413,902,709,489,219,224,682,535,745,383,
160,431,264,921,157,416,019,494,659,615,790,726,863,693,635,832,088,373,805,
230,714,334,136,211,338,433,607,019,638,225,152,789,435,830,910,241,169,443,
750,686,529,893,396,152,981,080,348,185,483,948,765,013,902,237,345,943,048,
642,048,512,378,255,883,478,201,278,953,339,764,161,549,469,149,521,262,639,
066,836,789,439,151,538,497,335,726,381,999,471,713,293,478,014,743,915,963,
983,588,779,542,693,568,125,001,030,783,626,501,990,332,811,295,326,888,722,
436,956,676,356,667,221,014,767,857,873,381,124,889,746,628,861,836,300,726,
870,392,102,657,762,292,143,284,686,100,589,930,414,602,756,236,047,545,882,
378,351,774,160,720,534,112,473,690,545,788,518,429,642,474,300,098,308,521,
314,803,818,220,798,538,056,883,143,211,043,350,359,166,688,474,887,597,685,
186,820,989,054,414,346,506,753,841,025,052,344,194,162,676,694,722,486,285,
629,437,160,396,708,771,975,546,555,674,606,565,144,729,802,535,995,793,013,
338,909,298,551,135,407,321,800,986,198,188,370,390,399,093,024,790,074,936,
527,275,639,404,979,334,310,002,721,007,257,984,254,831,579,894,818,903,240,
458,917,162,310,667,628,614,897,366,626,482,273,532,307,728,627,015,249,214,
489,572,858,803,946,174,775,548,133,764,122,558,140,582,805,180,059,746,262,
098,200,287,127,669,125,693,339,069,672,921,679,120,574,429,273,185,949,633,
262,086,889,641,455,561,003,929,259,796,735,329,609,575,853,474,203,085,328,
372,683,467,710,256,516,588,722,256,901,385,197,455,508,671,795,422,767,961,
723,705,947,228,989,509,717,654,314,329,270,580,423,816,454,766,311,655,798,
843,012,955,322,224,906,293,134,956,770,215,011,828,800,782,398,459,721,978,
780,888,356,839,755,099,683,360,174,416,011,931,760,995,054,576,676,120,205,
318,267,409,230,456,813,004,774,117,476,022,527,524,074,445,960,215,913,555,
558,005,628,369,371,720,537,302,655,689,511,064,881,906,280,929,625,599,428,
924,365,377,401,331,212,803,524,208,269,132,349,897,813,585,735,859,759,090,
710,261,177,547,712,860,149,172,212,920,045,163,479,191,290,960,941,014,645,
970,036,814,037,327,839,132,751,633,849,581,677,174,196,514,585,640,696,973,
905,921,747,634,458,019,166,002,425,819,233,363,922,917,253,412,089,228,645,
381,739,119,310,856,472,291,584,909,146,377,619,542,821,866,173,143,179,752,
897,657,233,308,534,171,054,750,725,019,988,385,290,047,366,248,409,275,720,
338,819,042,999,127,012,147,524,623,129,332,723,134,790,748,564,819,832,976,
734,578,081,515,836,554,171,855,212,848,411,730,365,651,675,100,054,252,617,
014,077,285,533,901,413,226,260,438,629,766,043,032,637,834,275,215,653,928,
296,338,538,722,434,777,464,980,282,343,458,662,951,677,388,042,323,815,433,
381,347,967,504,620,979,704,471,866,505,466,775,406,498,220,438,594,678,777,
506,097,532,058,089,652,198,055,418,522,682,965,140,552,955,725,854,234,602,
674,128,120,583,799,338,964,027,924,157,653,301,582,378,544,558,310,289,264,
641,396,743,223,072,158,852,587,510,493,611,237,209,507,539,847,365,443,088,
878,815,246,958,523,274,672,999,069,862,439,207,373,352,623,081,480,910,927,
927,261,186,246,844,206,115,345,801,865,631,358,628,303,154,474,856,754,480,
426,978,977,291,142,506,788,158,602,794,959,700,142,038,277,695,614,778,584,
392,560,314,510,175,933,746,775,849,716,775,609,895,734,822,599,881,745,262,
831,275,873,251,660,820,615,112,951,887,361,761,477,483,906,629,000,519,513,
982,980,318,074,552,679,926,275,353,560,439,760,880,520,838,248,873,943,793,
783,772,907,113,797,327,165,099,757,858,681,109,873,946,913,247,618,692,895,
144,396,504,443,480,581,611,458,470,560,695,850,441,839,616,698,808,216,963,
741,015,308,320,203,796,510,467,389,498,421,539,709,714,448,093,626,852,136,
438,871,952,461,395,043,316,009,548,450,266,102,035,633,421,138,811,155,298,
894,049,570,001,191,645,424,187,218,888,949,367,916,942,956,610,199,887,925,
817,004,466,968,517,035,517,702,191,620,797,041,775,706,512,770,582,858,778,
310,095,932,719,859,305,015,682,687,636,173,502,589,919,644,000,747,537,172,
578,342,754,581,263,531,282,159,969,717,149,997,523,723,163,727,445,726,924,
054,100,303,501,145,205,511,824,902,265,211,383,747,568,724,464,056,975,381,
946,647,962,514,107,677,634,965,998,721,459,346,192,181,862,618,323,881,014,
337,462,006,507,862,612,201,916,907,175,065,815,998,406,609,591,477,915,190,
532,937,909,679,142,175,088,035,430,883,254,821,841,089,382,185,960,879,957,
372,250,994,147,334,924,762,374,328,462,891,176,150,270,268,093,711,856,013,
691,376,332,082,381,439,194,134,611,364,558,626,989,152,449,610,555,091,364,
443,512,166,384,443,418,086,742,353,535,950,529,265,203,182,320,228,104,102,
803,935,117,222,813,928,202,729,228,094,019,666,752,448,234,563,428,005,387,
658,533,020,124,278,401,843,627,975,159,080,148,472,366,267,055,677,449,125,
996,763,867,123,968,454,482,504,023,717,488,443,595,200,377,124,962,095,867,
180,662,561,536,518,054,503,458,624,064,095,776,468,600,610,529,349,468,958,
434,865,653,380,855,059,863,268,637,665,985,165,655,574,309,297,236,702,415,
232,660,759,328,748,200,222,732,243,678,135,029,851,581,201,483,477,972,363,
196,591,379,591,012,038,411,067,859,818,539,877,728,880,763,585,154,754,260,
642,235,423,317,094,118,989,143,664,632,778,278,655,744,664,502,595,344,494,
576,723,038,704,741,377,207,952,076,605,741,470,141,956,943,237,868,422,002,
462,067,403,828,158,296,919,355,303,379,374,695,367,168,058,984,372,877,999,
106,040,500,854,131,941,079,231,431,151,924,124,267,738,197,267,521,252,965,
108,355,118,347,208,743,347,099,039,450,210,039,897,780,972,947,075,404,362,
971,553,371,716,807,345,434,080,357,549,124,692,478,538,043,995,300,905,357,
997,818,878,913,627,445,228,750,647,114,745,582,806,081,628,984,030,401,751,
583,299,423,079,830,760,527,983,593,492,678,601,181,609,235,863,729,022,252,
989,540,288,578,486,390,211,459,634,383,155,307,370,620,698,890,537,392,919,
469,798,004,776,294,271,712,969,020,226,388,769,120,465,991,644,223,657,042,
343,119,794,553,216,848,799,875,353,740,528,036,904,638,944,530,215,949,024,
058,119,960,548,133,614,067,494,040,847,243,098,857,386,906,114,700,818,454,
216,172,160,598,787,289,642,218,169,842,317,317,620,454,453,905,198,712,900,
534,080,317,395,562,459,500,050,278,883,929,688,519,786,879,181,949,479,823,
052,109,699,195,253,763,624,856,652,093,628,988,350,973,163,400,749,852,675,
748,078,003,873,113,578,409,561,930,266,547,057,252,052,671,942,319,798,638,
185,336,710,102,786,583,776,680,336,772,673,892,004,357,685,644,303,660,154,
211,481,166,754,162,461,455,485,108,711,620,215,614,670,487,105,676,090,287,
685,824,426,543,115,869,166,858,031,811,351,582,333,384,320,871,327,015,026,
689,311,307,310,059,364,733,792,934,788,525,153,143,393,947,657,739,335,653,
416,619,349,680,687,627,867,611,440,600,253,677,164,478,958,644,031,218,704,
677,455,729,773,231,701,785,053,948,440,544,614,905,219,976,161,445,009,058,
601,820,149,336,447,410,519,308,748,120,387,881,858,668,642,213,243,265,781,
550,331,451,689,751,060,539,443,693,101,466,252,843,418,695,470,596,158,759,
985,761,087,450,628,860,815,041,005,130,555,824,711,725,538,721,133,524,749,
614,525,062,654,558,540,218,960,277,505,968,029,553,752,374,009,010,881,362,
010,871,420,759,883,466,053,705,738,883,601,022,193,965,555,129,207,476,903,
897,428,173,023,183,999,488,746,310,536,115,770,338,867,788,566,592,364,586,
697,595,402,266,378,057,792,150,871,128,697,229,877,332,791,482,768,316,017,
037,804,148,113,406,952,025,912,466,737,128,821,383,888,108,878,970,462,611,
355,167,703,820,199,414,060,795,928,618,810,522,912,770,002,878,043,626,802,
532,781,819,706,227,681,871,188,041,128,886,197,042,537,649,060,711,396,019,
134,343,137,303,796,748,222,559,368,948,466,110,115,950,585,292,426,793,494,
683,568,010,376,896,005,644,402,517,441,600,596,704,070,054,882,880,012,193,
452,411,925,214,192,208,862,612,390,880,995,286,811,372,835,508,895,743,379,
745,242,028,611,927,955,766,101,030,653,366,830,767,082,158,694,107,993,560,
554,463,202,071,336,327,407,530,861,193,926,309,788,803,002,898,083,667,002,
877,705,599,119,473,720,838,804,158,958,654,967,176,056,197,557,962,948,729,
016,533,356,682,182,623,008,561,829,731,549,059,390,422,753,595,314,440,729,
812,146,548,620,539,386,636,436,758,576,312,556,539,619,852,961,812,276,204,
867,603,623,419,966,379,676,736,666,387,264,182,970,174,623,582,761,383,442,
982,109,242,351,468,316,912,699,678,244,900,105,254,472,144,437,122,688,964,
433,379,688,156,404,711,263,432,697,804,705,967,736,497,605,801,967,757,321,
506,244,406,003,734,714,683,380,015,049,431,085,469,633,709,001,582,015,589,
626,339,178,402,164,518,776,244,386,390,860,200,137,344,891,640,430,739,882,
948,607,775,263,119,004,628,809,551,291,391,597,203,993,191,379,402,186,047,
138,807,188,144,521,407,789,860,492,157,506,853,295,109,691,621,856,508,318,
494,908,658,138,157,493,077,932,196,077,723,340,837,806,022,726,183,371,111,
123,792,068,402,819,961,474,358,408,603,822,613,858,168,171,104,947,210,246,
094,664,921,736,579,987,905,011,804,320,458,145,871,466,509,907,440,978,495,
198,555,714,802,413,481,107,104,631,145,993,056,345,649,864,290,570,707,172,
010,304,992,778,117,721,762,277,831,611,902,473,776,420,722,381,167,432,329,
933,200,566,839,694,837,479,811,309,525,939,531,508,002,109,101,164,440,735,
077,056,781,006,722,902,919,767,301,872,287,528,633,516,312,581,973,128,885,
952,619,232,008,249,280,989,475,847,535,692,916,424,337,552,736,984,910,617,
150,105,749,501,718,718,449,890,949,397,311,713,699,610,369,517,231,306,539,
478,748,402,045,329,723,373,365,474,269,919,283,408,412,652,845,925,560,632,
792,138,185,103,160,200,080,473,235,815,112,401,605,283,269,557,043,777,388,
483,026,761,172,657,925,601,283,807,636,286,027,631,147,675,828,963,191,060,
350,083,727,457,101,628,866,689,460,483,194,564,893,679,943,395,259,096,667,
403,334,479,785,576,151,648,423,875,961,836,699,349,581,742,822,570,227,601,
664,811,835,774,868,212,071,413,600,223,270,307,340,661,827,846,436,490,445,
385,360,394,118,147,830,188,132,037,109,453,997,418,252,982,727,932,776,701,
436,732,819,727,953,527,160,820,557,151,045,228,845,132,705,264,131,023,370,
829,608,177,271,588,662,938,629,114,109,821,063,180,472,175,282,201,905,115,
568,740,625,599,849,394,565,824,640,117,079,105,613,106,964,752,067,414,301,
899,588,950,244,263,872,491,879,954,686,643,283,121,532,647,317,520,053,331,
307,803,149,152,191,797,824,841,704,062,739,284,841,693,682,967,283,340,993,
950,080,428,182,723,711,881,636,985,741,756,704,621,788,395,060,120,583,174,
452,392,803,135,436,730,413,583,051,122,959,439,433,070,648,925,841,984,275,
733,258,219,952,106,026,393,005,223,002,693,154,549,419,569,959,064,221,861,
427,547,778,882,132,882,037,410,881,838,693,813,671,864,092,937,010,155,556,
083,813,769,711,601,850,500,296,454,816,708,070,005,605,358,041,334,489,278,
486,734,187,291,320,372,199,083,880,612,685,258,335,002,696,426,107,341,677,
894,298,709,568,670,538,000,677,100,606,677,112,106,882,228,620,189,174,028,
547,491,481,838,523,578,922,169,578,933,799,569,727,959,169,922,209,725,876,
422,028,661,531,953,410,578,033,876,018,991,878,431,880,181,581,510,079,335,
368,509,712,545,594,884,020,639,614,471,878,841,373,337,976,472,196,357,145,
449,596,686,744,462,245,491,920,415,875,701,788,878,061,626,516,238,153,067,
868,424,517,616,476,824,595,671,405,707,587,453,060,303,801,519,765,486,759,
770,298,137,887,158,844,318,107,217,294,300,968,376,869,394,926,771,786,904,
040,451,598,673,919,000,686,016,037,165,977,285,547,438,869,012,228,947,205,
684,341,843,439,399,550,595,461,158,155,483,931,754,926,481,141,165,904,766,
709,752,659,182,129,481,234,155,372,830,417,674,391,991,590,522,518,413,896,
978,347,520,559,458,796,047,945,670,647,018,302,916,627,315,954,956,298,783,
873,023,436,747,420,139,808,157,167,674,451,465,941,085,886,611,451,198,963,
465,861,023,131,809,356,999,759,865,708,509,528,379,714,882,735,261,325,629,
971,053,020,535,235,700,033,872,636,868,302,522,417,387,911,423,215,491,276,
804,349,939,649,591,372,012,112,948,861,884,108,838,738,583,375,029,749,696,
237,800,841,060,200,794,119,719,929,775,334,055,020,204,607,544,221,977,593,
960,898,606,262,957,962,836,186,009,972,413,762,347,840,850,041,835,699,104,
643,633,383,937,025,831,469,052,304,782,251,948,346,219,103,144,601,739,461,
642,143,233,321,960,211,836,330,428,791,268,901,120,885,670,482,154,536,289,
237,168,380,578,370,180,096,258,796,737,333,600,387,115,874,536,693,242,097,
265,270,787,462,831,278,348,642,914,923,359,865,611,468,094,949,978,347,336,
705,056,495,299,676,712,955,747,913,841,991,120,221,062,961,079,892,129,414,
588,736,869,809,311,891,106,165,382,757,820,329,379,194,900,593,760,651,660,
310,311,948,351,364,837,763,021,588,865,043,490,460,652,999,681,612,938,240,
780,544,719,719,937,221,903,070,110,947,739,694,568,852,323,474,234,083,439,
519,386,018,159,650,868,676,565,310,708,339,462,603,192,045,196,845,664,739,
292,406,825,151,166,905,272,098,668,538,393,172,582,287,404,963,697,995,034,
613,028,614,847,860,999,009,129,652,243,164,432,284,341,588,836,159,039,929,
286,439,217,298,866,789,689,214,666,215,542,201,304,245,140,710,913,195,354,
176,506,752,777,401,917,100,045,998,799,305,917,926,282,768,305,237,539,510,
977,576,008,319,293,408,862,935,559,647,602,695,140,411,846,209,902,449,334,
413,354,850,265,816,657,622,795,556,548,900,149,731,118,079,340,953,844,782,
337,321,296,808,427,420,313,933,082,915,819,527,967,408,318,243,138,386,227,
650,764,086,972,566,682,645,763,561,618,834,107,226,270,595,576,904,679,980,
964,550,380,621,517,855,943,038,682,267,700,439,296,310,460,902,885,806,377,
729,873,198,298,492,187,968,530,187,023,877,450,719,674,609,628,500,009,989,
986,989,119,528,775,959,120,742,343,392,299,862,526,484,979,242,830,866,372,
787,476,882,757,263,907,773,897,521,272,448,768,726,613,229,749,187,601,821,
326,183,855,547,335,701,188,767,006,405,188,408,385,137,491,283,765,122,706,
982,937,907,591,070,714,921,642,289,897,380,060,580,761,763,695,941,967,680,
967,516,318,466,159,513,763,709,128,048,114,656,096,633,515,246,331,479,382,
145,231,911,609,824,681,132,221,414,254,508,278,263,856,886,405,645,689,637,
748,875,876,077,029,882,871,881,636,919,224,458,473,542,347,539,137,540,260,
445,173,024,108,009,802,466,099,510,526,586,669,276,994,963,894,814,100,535,
376,431,027,623,673,316,397,321,926,859,780,036,150,205,603,941,701,478,052,
043,076,008,793,156,922,377,104,242,037,150,222,143,810,105,690,305,754,750,
626,923,944,677,814,716,328,706,424,051,371,103,684,711,853,124,177,009,745,
958,462,904,134,679,967,653,558,558,395,443,718,189,008,694,267,849,533,263,
363,148,812,953,731,795,856,268,388,537,185,692,443,147,559,839,545,785,941,
836,083,212,895,145,129,454,994,634,405,577,266,070,173,076,261,916,299,366,
958,994,552,442,228,181,399,414,000,607,368,644,175,114,004,005,983,189,274,
616,780,790,059,075,550,655,489,809,186,111,970,972,920,696,656,959,542,414,
876,729,340,606,508,807,772,820,884,755,534,935,600,975,143,647,081,743,584,
588,923,414,270,211,686,097,932,557,511,116,442,628,542,933,912,275,072,980,
910,474,421,318,506,730,680,378,632,264,691,968,778,675,892,748,567,196,684,
333,932,335,889,126,817,546,169,445,603,666,060,656,445,330,684,711,113,341,
361,432,445,531,156,201,116,693,221,256,897,109,353,952,814,745,588,332,737,
011,863,502,741,681,346,743,542,304,444,296,268,581,857,601,004,229,280,129,
459,605,731,457,073,836,411,320,946,426,094,252,338,287,145,011,407,931,482,
693,661,894,217,530,492,103,286,058,148,415,772,772,496,220,021,947,140,730,
042,380,578,371,110,325,735,275,383,888,351,146,443,075,477,657,046,109,427,
002,748,157,021,591,032,001,346,716,667,880,505,631,521,632,041,844,332,283,
425,670,759,702,883,636,855,846,019,219,234,950,357,532,538,624,387,418,567,
505,552,650,439,160,934,353,321,353,836,416,941,147,479,805,285,255,497,799,
430,763,681,185,025,602,099,810,864,233,233,334,062,998,245,295,403,071,065,
102,532,557,186,071,921,327,337,337,778,663,602,852,542,216,671,029,963,036,
139,041,324,691,939,635,218,899,815,458,984,357,042,461,042,008,678,919,785,
471,395,847,863,736,734,516,605,809,963,962,837,536,867,259,270,562,494,061,
379,445,028,499,477,156,112,544,942,180,737,872,484,268,134,744,421,080,847,
262,332,233,126,295,346,807,333,578,084,077,789,062,077,640,195,888,184,669,
563,645,772,698,679,774,225,846,048,872,652,218,551,013,224,447,924,611,683,
513,716,277,222,724,734,687,451,487,474,149,734,797,778,919,772,654,877,522,
848,196,925,206,100,229,078,132,868,593,733,572,164,676,401,170,500,363,165,
688,208,902,305,418,956,927,097,111,112,685,956,173,468,420,141,276,866,193,
913,824,749,742,419,440,370,824,645,770,134,269,626,002,053,454,948,197,894,
060,040,694,496,121,086,431,077,777,076,241,351,246,213,366,079,554,569,865,
204,990,421,481,605,355,542,832,180,421,663,112,669,535,162,616,858,159,793,
883,696,240,659,252,809,960,382,411,721,384,223,676,868,155,848,024,244,013,
906,228,014,654,824,658,864,660,558,403,176,037,120,418,231,105,275,115,610,
102,781,847,161,088,266,442,661,381,205,997,091,810,375,950,108,146,881,763,
214,647,212,193,102,159,011,011,478,697,224,623,726,344,660,424,125,826,711,
909,075,519,367,183,776,632,052,837,984,974,124,591,319,219,840,847,409,066,
321,281,381,921,983,886,118,471,601,222,167,349,565,140,988,309,923,848,764,
153,562,162,052,031,061,393,697,902,873,680,754,695,868,066,537,186,335,147,
755,810,556,295,713,711,965,700,935,225,809,589,498,895,781,414,136,649,553,
853,573,330,633,486,446,213,377,855,232,462,450,276,808,932,866,807,685,239,
569,517,830,391,966,928,850,684,177,650,172,679,857,741,680,617,205,841,795,
989,490,253,517,140,162,233,423,460,695,352,738,463,994,590,562,675,624,131,
304,951,694,808,738,129,296,763,370,073,158,083,836,838,337,652,832,620,604,
692,964,417,014,187,762,403,779,383,546,772,919,452,809,377,888,635,382,051,
631,664,367,990,721,062,150,662,821,756,132,572,639,612,196,076,789,469,399,
062,764,976,939,822,672,233,799,882,081,750,609,236,741,924,110,916,226,165,
557,321,674,291,123,777,622,134,051,873,869,212,897,036,140,373,334,196,103,
715,951,638,361,828,735,592,543,037,367,134,054,740,134,749,178,330,781,879,
812,431,988,125,573,445,845,437,880,568,435,522,029,387,657,513,377,267,788,
059,185,987,893,847,388,332,458,031,464,065,316,818,599,572,642,001,619,720,
769,901,617,934,895,370,389,766,631,009,406,078,812,998,499,338,251,809,217,
443,922,206,351,662,762,969,294,936,750,006,132,273,449,312,343,334,014,700,
594,245,359,335,497,697,461,040,278,536,343,175,420,871,197,373,371,294,428,
563,340,145,154,252,287,585,552,938,933,282,484,476,612,667,570,933,591,049,
939,871,319,364,465,577,761,210,016,096,110,954,258,857,175,023,584,363,871,
782,137,631,192,579,252,325,526,476,407,918,354,194,631,876,029,584,497,977,
526,278,393,482,903,166,629,226,445,984,311,755,837,425,745,034,301,239,583,
578,394,307,455,105,137,749,287,347,962,354,264,839,325,919,050,800,663,031,
950,913,959,413,392,597,447,782,735,136,001,700,257,239,529,455,157,262,796,
255,484,568,203,461,376,805,675,873,434,785,078,339,007,851,990,396,337,637,
386,041,204,025,229,011,966,843,036,834,314,121,491,517,669,210,127,625,604,
094,131,110,974,500,670,119,364,049,831,187,235,729,977,839,747,976,240,268,
687,910,820,139,929,210,915,082,331,094,308,343,404,030,887,512,176,984,577,
190,611,386,488,840,994,705,516,733,826,648,766,377,793,839,605,856,736,026,
601,833,745,909,530,104,122,344,966,543,412,244,666,323,163,381,860,553,258,
687,649,170,424,571,895,572,843,833,943,267,005,660,063,127,880,128,899,515,
142,168,478,151,237,195,148,407,250,299,109,386,008,373,538,040,742,891,156,
514,840,146,645,229,012,647,439,425,004,652,048,284,111,296,778,059,104,845,
683,060,550,872,407,308,692,516,548,183,388,561,830,294,534,502,180,310,140,
684,368,447,019,252,206,136,520,974,047,801,116,855,130,581,102,446,449,702,
645,172,228,251,620,423,318,351,958,723,071,041,271,047,807,498,624,824,197,
467,652,027,519,959,036,078,019,457,477,628,535,673,679,361,063,253,048,134,
885,061,013,739,607,064,113,467,348,910,162,695,830,279,273,592,343,460,196,
085,135,041,533,713,582,386,857,209,031,879,404,173,117,364,946,883,420,807,
657,744,064,093,728,030,045,037,077,535,655,814,396,554,723,579,980,911,269,
018,354,079,326,643,561,431,797,443,278,911,561,059,660,469,138,554,652,219,
907,742,871,404,625,356,233,737,663,911,134,329,224,109,708,859,832,075,589,
770,366,148,381,214,315,967,651,905,910,244,238,589,448,607,426,749,722,649,
576,179,311,908,402,255,616,552,573,533,755,693,396,310,686,577,008,556,871,
622,903,973,675,530,965,752,887,001,800,994,663,100,526,950,968,952,096,514,
602,281,242,854,208,463,381,579,588,892,322,532,552,552,701,737,266,245,086,
920,088,696,127,383,077,818,180,922,084,009,280,375,373,266,238,497,845,157,
779,709,025,815,007,120,174,885,532,353,412,242,011,407,609,876,461,186,799,
281,881,404,574,745,427,581,650,421,579,569,181,229,638,963,720,271,682,655,
702,072,715,716,882,589,771,686,718,198,393,714,989,251,685,852,035,663,799,
215,753,239,109,247,782,332,007,281,703,864,477,978,029,146,429,101,729,724,
819,076,203,600,634,218,945,237,489,861,804,255,733,745,988,436,487,062,203,
988,865,289,931,376,849,842,529,592,856,315,987,505,893,355,708,048,463,097,
801,862,051,404,043,425,095,361,990,582,787,071,313,673,436,701,967,607,620,
258,034,862,502,692,233,629,579,475,413,907,726,893,157,543,602,971,859,382,
468,674,065,016,994,366,971,625,600,090,016,879,907,210,714,291,378,947,376,
542,216,462,092,866,462,800,883,592,420,000,084,592,232,491,695,792,560,433,
592,165,173,540,305,362,387,537,815,955,411,332,729,441,719,129,729,048,751,
188,048,873,183,270,321,534,042,802,196,124,605,219,412,201,893,256,368,437,
619,299,166,495,758,283,029,708,928,545,462,171,049,244,712,292,250,832,375,
748,105,977,784,759,941,912,517,158,257,489,576,849,310,407,034,786,716,062,
428,668,646,954,373,377,232,664,079,171,969,110,366,490,440,478,459,418,765,
021,373,001,992,270,056,235,602,237,743,216,723,865,201,827,449,770,377,860,
263,290,289,367,955,686,770,719,560,715,601,543,190,930,716,546,570,839,429,
928,399,935,255,216,071,129,761,183,277,176,121,225,056,218,778,314,350,159,
953,755,637,733,557,224,411,720,814,525,237,556,046,920,520,105,197,553,851,
402,261,743,617,968,540,436,740,511,399,800,639,804,727,903,959,342,343,546,
845,344,781,847,080,878,194,334,442,190,460,177,809,299,585,796,356,491,433,
167,225,001,090,128,288,194,904,853,122,133,022,131,620,810,672,348,673,662,
638,917,744,257,795,970,422,895,719,547,717,018,251,626,823,004,655,613,955,
940,134,207,405,647,882,095,478,954,995,226,796,357,185,977,462,650,934,412,
978,271,746,075,181,184,878,803,983,935,471,096,143,103,231,863,646,953,373,
909,274,495,406,579,953,952,407,472,716,991,654,105,140,146,281,556,931,524,
683,000,128,713,699,911,251,092,836,451,991,674,158,240,631,353,110,618,114,
139,784,480,803,910,363,689,085,239,654,493,165,386,950,152,619,084,833,839,
339,151,799,095,518,588,799,595,676,478,247,675,689,684,120,219,122,846,969,
769,153,174,620,376,797,891,861,174,218,369,662,151,295,801,939,888,901,004,
777,154,364,074,054,923,842,661,385,344,595,027,898,911,833,924,421,799,861,
562,353,427,217,697,404,280,087,685,692,588,866,629,463,412,301,816,708,855,
309,875,429,579,721,928,005,725,407,037,584,731,662,649,859,496,841,831,906,
600,448,343,481,330,412,237,454,430,653,249,906,935,127,857,702,768,928,651,
212,622,105,148,660,064,418,356,352,593,045,241,672,300,244,739,435,133,595,
516,981,880,505,194,546,585,762,569,893,108,867,133,806,389,199,836,266,746,
342,369,487,637,179,794,149,344,012,327,602,485,870,689,225,116,821,374,338,
774,830,774,177,081,488,241,865,155,342,888,279,307,884,238,074,770,877,204,
209,058,196,842,114,852,762,040,957,627,445,507,830,797,779,895,731,893,710,
123,182,077,591,925,029,840,884,805,116,384,995,489,412,873,050,215,330,741,
688,685,200,745,032,682,249,766,799,672,037,548,486,417,123,539,742,827,790,
229,329,426,920,510,022,506,126,658,216,794,117,700,829,385,439,442,504,525,
234,013,072,652,382,819,093,543,580,603,422,480,524,211,211,728,284,782,679,
948,288,092,194,339,329,967,150,457,279,481,601,907,704,255,354,969,344,331,
717,229,353,062,449,248,020,182,472,780,124,438,848,770,387,392,731,891,584,
457,434,398,442,909,419,193,536,787,440,497,072,389,109,486,033,577,175,130,
282,513,704,542,877,710,135,033,889,671,470,440,641,021,559,444,879,256,394,
583,382,553,180,758,434,571,980,327,659,455,948,765,286,714,359,264,904,294,
565,818,640,988,670,137,230,884,734,725,972,707,588,801,411,833,084,475,257,
985,192,255,968,397,048,221,144,610,554,395,306,381,989,236,682,449,105,255,
181,417,517,192,739,998,321,428,759,802,991,239,563,004,161,518,822,338,430,
630,418,331,781,232,609,622,677,862,466,389,080,533,747,441,920,098,803,759,
860,355,837,185,064,077,858,968,583,939,704,085,268,487,114,097,991,133,511,
660,521,048,367,250,511,852,093,357,923,314,943,771,704,338,294,888,047,673,
916,302,091,989,864,565,689,611,884,392,590,814,826,555,161,862,262,151,931,
620,247,586,657,723,397,851,044,376,775,068,425,374,330,431,875,206,109,844,
593,288,546,360,876,020,397,941,749,358,587,314,214,118,172,554,173,799,020,
572,492,677,142,799,706,915,757,694,466,426,617,739,674,291,882,503,208,795,
269,789,262,494,319,361,186,276,447,178,934,180,812,676,641,315,312,741,677,
152,143,917,531,228,393,976,668,484,124,264,917,418,425,728,433,648,825,274,
501,312,603,849,960,257,642,644,300,760,406,815,506,052,120,144,720,632,063,
827,965,952,163,557,219,034,217,825,880,557,472,934,802,049,242,440,757,163,
748,187,250,441,620,045,728,564,576,597,173,278,647,843,477,843,421,106,945,
659,628,661,028,041,831,388,836,325,635,583,136,653,784,165,826,132,105,673,
620,789,835,107,523,218,698,094,528,389,338,255,551,873,544,313,557,157,276,
583,544,521,019,635,248,024,749,176,702,811,897,187,341,672,837,401,749,603,
059,005,667,905,135,945,596,799,213,698,438,030,506,076,919,893,407,130,341,
915,428,558,465,814,652,229,405,640,322,796,366,600,564,370,635,028,072,856,
691,562,252,714,679,969,529,516,098,376,272,898,712,992,897,750,662,702,350,
628,241,935,701,229,891,986,618,091,518,449,866,443,753,823,970,517,718,066,
005,284,704,889,971,786,218,481,207,549,385,429,013,926,552,837,774,937,970,
709,656,066,880,453,423,349,798,899,336,877,035,242,127,396,849,640,851,626,
145,984,481,928,556,401,606,333,984,502,346,584,292,961,399,219,316,350,647,
317,638,885,243,454,526,947,796,970,025,402,886,190,530,501,243,541,908,295,
915,290,538,009,990,339,601,597,687,147,213,640,979,921,707,334,419,980,229,
975,982,101,507,262,849,140,346,053,438,382,565,486,845,492,706,942,749,452,
828,508,383,479,274,067,003,712,679,398,688,374,910,042,051,461,821,757,359,
472,035,487,274,409,752,880,594,773,519,893,590,842,423,490,913,471,055,305,
471,464,522,903,582,534,152,333,882,717,979,896,128,449,927,472,004,259,504,
778,309,288,525,161,053,402,602,105,100,390,723,653,049,102,705,986,317,262,
690,864,427,166,878,004,284,944,621,288,959,700,379,294,776,530,818,970,673,
935,912,800,195,005,436,415,547,294,927,916,416,482,515,878,780,438,543,758,
645,169,457,664,421,423,139,175,971,393,611,276,409,455,685,268,302,868,757,
862,517,402,185,890,105,536,312,030,814,757,616,152,555,907,439,052,993,713,
994,224,403,270,778,199,119,654,453,946,171,627,150,539,302,344,997,260,415,
523,027,919,696,569,990,506,715,112,803,866,445,986,113,393,105,530,833,888,
511,368,982,551,162,501,335,001,560,574,685,713,693,392,784,291,979,638,373,
655,646,374,749,710,994,740,910,394,328,025,529,436,130,070,072,415,759,135,
587,711,530,460,727,477,177,460,810,188,450,937,477,205,541,976,343,737,900,
305,889,230,825,508,831,877,880,358,461,425,254,320,994,348,996,122,937,008,
782,375,660,410,852,375,146,461,859,380,208,271,970,610,884,974,109,918,390,
631,490,958,178,960,134,962,676,352,570,351,747,123,906,235,467,494,120,698,
821,659,708,968,757,010,306,686,029,418,817,422,612,375,539,673,317,701,139,
966,138,658,143,478,051,842,102,045,072,851,239,291,664,019,087,216,510,795,
018,381,923,283,080,380,369,503,689,725,548,230,482,457,076,611,202,336,343,
468,274,918,539,465,402,687,533,661,826,457,470,903,747,564,878,411,786,512,
478,871,756,661,744,022,630,813,406,333,020,649,233,863,767,507,552,773,802,
842,445,903,530,612,656,322,217,557,228,005,661,222,817,894,500,844,043,849,
622,512,661,390,597,267,624,172,924,306,767,666,987,466,425,380,132,182,731,
000,184,583,375,129,846,866,499,885,346,517,036,144,989,932,673,849,368,856,
664,665,043,263,649,913,622,544,428,787,600,747,057,234,627,967,933,138,654,
614,739,882,396,647,490,122,160,557,764,961,437,250,030,831,464,327,461,453,
602,566,430,294,568,175,593,815,323,330,599,943,276,319,893,130,172,611,113,
290,640,398,146,433,973,688,951,356,377,191,427,688,446,682,710,321,516,144,
257,680,025,322,921,062,132,227,763,040,783,684,720,067,952,892,364,742,343,
768,967,841,986,498,289,046,757,252,925,574,002,002,683,744,719,174,811,726,
441,689,575,477,553,610,008,636,874,449,465,914,361,082,551,128,272,569,844,
448,316,026,880,585,402,053,406,167,977,779,308,950,256,848,980,534,275,675,
220,849,182,125,044,568,046,917,987,370,276,767,213,592,672,412,585,923,222,
690,823,223,485,220,464,217,974,592,438,276,286,048,180,495,578,638,507,252,
392,505,890,871,210,392,937,461,006,475,626,471,338,093,248,832,180,398,847,
682,098,808,286,319,421,350,365,426,847,065,491,923,950,671,973,994,632,322,
440,032,853,933,535,191,568,717,107,933,311,057,370,461,397,016,009,137,336,
048,559,254,779,809,294,983,542,672,307,749,311,144,431,080,727,582,250,727,
471,706,121,017,874,262,364,245,170,860,483,205,982,639,379,356,878,213,311,
538,103,076,891,727,651,569,205,428,414,989,155,444,313,164,731,559,406,956,
066,289,730,091,529,992,579,959,947,015,793,487,536,266,064,095,954,458,655,
538,486,101,930,607,967,885,904,696,700,844,235,669,678,082,707,145,034,742,
370,961,914,650,253,833,648,823,467,408,936,589,155,207,785,881,014,416,298,
982,210,459,446,044,682,339,631,822,397,338,820,901,508,148,497,333,926,378,
693,706,845,466,706,483,424,123,605,956,676,761,274,398,236,352,251,353,791,
522,561,525,144,390,068,261,158,737,821,574,893,569,713,079,806,446,533,667,
494,619,678,218,523,223,991,909,805,865,190,645,446,586,895,242,003,428,878,
512,936,171,646,477,167,513,122,896,909,399,934,017,857,625,723,494,129,606,
851,702,899,193,863,151,833,031,894,065,037,991,040,128,045,272,784,023,573,
255,442,582,717,489,924,889,211,770,388,971,727,145,022,790,581,364,515,527,
086,638,327,335,055,388,457,171,017,711,858,377,926,925,585,470,713,620,054,
818,213,338,161,798,386,896,588,288,271,288,035,945,772,089,080,030,519,179,
196,471,014,720,010,601,277,544,658,398,686,336,557,365,764,096,766,474,475,
613,178,915,332,857,063,164,965,088,035,272,554,407,207,722,293,041,225,202,
222,730,002,949,732,884,421,993,678,411,222,014,009,262,461,131,245,208,043,
247,670,256,446,323,313,396,533,719,756,921,055,124,312,557,165,100,502,144,
293,796,137,902,393,386,417,343,788,974,846,865,768,306,473,062,733,540,669,
019,942,882,392,122,673,421,241,622,643,803,923,124,149,872,130,902,304,444,
587,647,824,982,865,007,342,001,525,743,522,677,943,888,386,324,743,979,467,
453,304,612,822,043,279,744,655,605,904,823,263,453,470,303,294,097,482,163,
471,055,354,103,188,934,537,190,089,845,681,953,126,480,615,640,139,697,498,
571,099,685,617,830,753,428,740,139,574,720,070,477,604,429,409,015,250,931,
392,715,537,530,039,003,060,287,393,268,791,071,390,996,255,036,105,081,865,
887,084,166,929,898,318,255,337,978,427,461,093,797,900,091,656,657,798,479,
852,153,516,481,594,527,907,623,066,333,140,628,772,028,214,303,410,694,787,
886,478,433,230,329,832,808,833,195,325,034,794,954,651,078,494,162,604,083,
080,408,726,655,688,432,694,337,844,467,280,891,477,283,337,477,463,968,309,
385,128,687,678,744,664,883,987,285,999,575,838,594,303,411,414,279,605,386,
010,607,542,463,022,092,258,316,722,133,680,137,685,473,914,426,054,709,172,
069,092,434,673,327,046,147,698,504,242,227,678,522,010,730,808,368,825,258,
385,590,601,302,801,031,188,118,869,209,870,925,612,362,149,868,492,413,670,
513,374,500,798,709,207,936,721,620,507,079,554,456,200,162,470,281,029,552,
468,076,829,228,880,402,469,994,780,532,166,533,525,131,435,350,311,070,921,
731,253,814,999,978,638,297,635,968,041,180,744,697,816,688,483,592,684,696,
144,128,557,050,757,579,132,511,898,534,056,003,675,554,956,121,322,325,224,
199,852,305,471,263,338,366,547,347,655,120,051,517,086,989,029,836,434,774,
706,448,585,442,438,173,661,531,353,374,386,790,042,714,382,927,216,192,843,
963,438,901,125,544,059,942,652,709,705,540,302,503,745,927,574,818,651,158,
723,482,223,005,854,522,750,841,852,052,296,277,262,068,705,052,320,987,838,
404,982,994,319,192,919,522,958,740,745,799,759,866,495,357,927,447,107,833,
443,651,885,551,695,804,185,281,614,956,773,307,520,609,133,703,902,620,247,
374,777,905,547,290,409,468,921,287,639,126,026,239,269,680,374,850,647,851,
563,476,201,544,016,718,562,170,916,216,207,030,076,896,714,491,449,409,527,
431,521,224,969,185,903,231,242,747,129,460,396,750,555,230,980,007,267,887,
946,706,293,449,244,585,826,079,440,348,492,943,916,601,347,702,231,382,839,
639,368,400,826,816,005,366,944,028,807,648,055,320,496,984,527,738,579,476,
974,937,553,404,709,256,075,539,003,116,827,889,903,302,526,328,157,179,430,
478,554,707,604,522,708,332,863,407,488,161,102,521,376,001,258,526,432,745,
682,614,692,922,519,491,997,563,332,332,537,934,003,057,198,218,837,364,836,
822,573,428,066,292,948,701,684,156,375,950,498,298,823,792,928,281,817,496,
578,967,403,205,566,052,325,287,216,608,838,770,539,712,126,536,159,342,090,
831,016,558,309,796,706,452,055,666,296,149,456,416,330,897,573,260,632,122,
448,524,031,004,399,952,447,755,086,550,078,700,947,896,436,640,683,712,914,
949,370,720,034,522,496,712,822,282,664,079,678,186,837,318,379,920,355,196,
065,170,643,342,746,674,757,017,897,834,794,934,528,385,495,171,283,113,185,
719,912,903,266,894,247,850,536,094,170,138,378,658,886,026,357,852,468,328,
704,840,667,437,831,663,958,588,300,300,479,038,254,637,967,857,934,611,288,
242,549,936,770,530,909,629,327,574,324,636,949,512,737,326,758,779,953,210,
455,826,791,397,806,607,012,186,803,932,235,493,015,781,587,796,461,657,781,
082,352,265,675,077,514,721,102,725,934,305,942,312,867,711,736,003,269,434,
715,799,034,204,972,672,705,969,118,974,856,662,289,986,754,828,587,490,486,
581,280,174,347,644,814,574,845,464,342,739,269,510,661,191,405,445,682,732,
952,102,863,451,475,807,514,750,453,653,898,718,131,411,190,915,602,373,897,
000,517,584,581,120,349,621,103,204,265,039,016,470,380,698,309,247,103,181,
622,987,936,473,638,863,911,832,325,878,466,252,896,407,942,403,708,633,288,
711,535,831,572,030,075,526,528,657,851,616,528,147,499,975,271,153,208,946,
767,942,582,583,067,851,637,143,966,651,692,556,251,904,326,024,707,048,315,
531,143,484,139,582,288,690,953,558,928,386,709,638,403,209,380,542,038,349,
771,208,803,123,969,046,159,253,987,820,297,475,721,909,552,912,410,076,450,
739,407,841,183,348,200,675,349,821,740,466,905,043,083,142,529,967,678,591,
397,573,263,502,596,463,588,593,052,830,362,633,697,286,393,616,327,065,856,
893,873,158,521,398,294,117,054,181,655,699,924,181,433,608,934,391,777,677,
127,989,485,441,031,434,658,852,312,310,401,455,587,614,652,619,324,933,106,
539,070,817,264,952,082,484,876,802,458,973,785,339,495,180,690,839,338,121,
276,625,360,954,585,796,641,962,948,660,485,291,266,519,790,110,802,476,080,
708,067,769,310,435,430,277,945,709,873,410,855,885,137,138,614,237,793,077,
641,832,220,976,719,189,645,437,749,998,160,179,877,584,724,013,319,038,927,
372,204,461,399,953,397,652,301,015,137,562,540,833,691,408,526,987,393,251,
049,820,682,917,859,516,103,967,998,955,907,018,918,835,054,377,372,548,536,
910,493,848,509,787,984,415,856,959,184,849,862,000,815,302,108,514,257,805,
565,974,245,000,898,404,412,311,994,120,949,479,888,197,125,781,761,991,494,
995,936,439,286,136,231,737,128,847,519,943,495,216,538,170,121,345,142,854,
215,401,933,981,206,610,607,742,520,084,565,282,875,440,229,475,623,233,459,
056,028,807,864,586,596,889,890,157,336,194,467,929,248,531,669,372,154,643,
322,344,755,331,563,112,620,166,516,615,059,682,408,164,988,959,453,987,114,
968,367,922,304,278,472,695,121,638,882,917,909,935,883,334,337,002,299,122,
744,801,862,934,352,917,940,308,892,871,702,132,379,947,909,845,204,917,181,
542,976,096,273,773,721,990,018,298,704,807,215,884,181,943,435,729,544,130,
390,512,162,917,183,264,123,748,645,505,112,926,678,156,588,625,599,371,003,
101,178,868,486,693,483,127,586,405,284,796,589,529,490,884,317,763,451,340,
079,784,062,392,024,469,323,459,448,075,761,729,142,151,354,773,665,429,181,
973,158,589,093,572,109,884,409,238,497,922,804,721,369,746,926,801,735,878,
400,724,436,562,193,624,165,755,236,278,751,803,069,682,558,465,661,370,185,
583,408,680,265,227,831,284,771,256,933,247,728,914,928,718,314,079,595,458,
410,531,123,561,163,584,765,831,883,207,449,305,152,516,102,322,595,458,702,
216,142,512,801,787,704,570,696,794,313,000,305,335,332,979,373,924,954,790,
392,775,293,868,088,614,140,239,066,942,234,730,479,363,173,498,466,312,801,
884,358,748,376,422,827,297,935,545,850,585,518,098,543,866,104,775,859,417,
225,529,392,990,799,346,607,820,613,725,259,257,011,606,843,032,021,291,942,
982,627,390,092,770,379,066,488,654,857,763,084,042,542,045,201,242,448,289,
840,640,801,464,239,488,718,323,251,408,270,848,354,313,928,076,884,267,116,
043,251,887,415,860,049,047,340,754,614,827,150,418,687,234,270,335,225,565,
136,880,125,345,035,585,212,093,982,679,874,096,482,904,193,984,323,383,130,
913,712,659,503,249,260,849,243,889,443,088,913,744,098,872,068,409,599,568,
656,816,358,814,755,095,097,800,879,582,786,261,097,277,940,841,483,155,017,
050,196,756,748,362,011,073,800,246,326,358,704,501,436,946,377,150,325,880,
834,698,733,390,458,239,466,992,001,908,233,492,459,849,472,555,482,578,163,
623,520,447,710,965,491,880,961,918,417,678,179,089,571,950,732,880,887,419,
754,294,413,920,481,542,357,474,461,214,356,352,461,731,332,170,384,690,603,
100,623,345,755,889,955,072,014,867,854,097,383,617,109,429,268,665,489,716,
081,359,004,694,577,045,539,620,228,501,449,530,231,495,642,691,228,934,131,
952,744,878,819,542,489,907,384,583,819,616,668,857,700,948,625,971,077,003,
727,783,546,014,702,700,515,258,510,424,022,914,714,969,462,269,106,908,645,
470,808,609,292,000,672,729,929,216,634,304,190,411,038,087,431,352,152,421,
627,239,703,985,495,872,822,318,725,811,435,239,475,412,330,400,115,299,106,
170,641,255,775,074,136,430,960,759,425,343,651,742,148,204,788,580,455,100,
536,950,183,050,921,510,219,030,549,324,729,806,347,893,273,345,424,158,234,
825,388,093,310,151,512,258,718,411,568,557,217,488,770,814,495,984,296,679,
893,084,658,430,765,731,080,432,091,201,485,617,688,832,576,397,915,477,293,
786,970,125,378,769,971,692,927,722,032,651,354,631,768,702,037,164,724,043,
981,737,751,750,168,953,547,982,195,763,287,700,892,213,383,980,791,766,736,
700,657,110,423,183,993,095,652,579,561,639,423,517,166,702,795,540,078,484,
539,368,461,570,839,754,317,862,698,237,185,013,124,845,699,883,471,369,865,
368,624,194,949,677,275,404,460,600,463,499,297,519,852,700,619,828,424,959,
262,477,025,572,241,743,831,261,604,972,381,746,151,918,904,315,075,532,678,
352,647,432,929,241,201,284,748,758,606,430,695,145,750,083,133,908,994,592,
453,440,334,550,159,772,953,230,679,016,298,261,317,162,696,402,135,746,608,
532,147,770,798,432,212,901,470,014,696,450,934,478,649,559,010,089,887,923,
936,900,241,174,746,974,535,851,598,839,631,157,619,370,119,145,884,588,505,
659,486,346,210,033,828,283,819,279,938,291,793,964,306,277,984,377,367,062,
275,653,029,579,288,090,042,785,856,887,988,829,016,179,487,610,385,219,095,
849,107,948,519,697,555,224,677,714,285,766,050,888,201,005,415,542,123,626,
002,014,618,392,578,106,767,383,772,379,071,155,453,571,772,414,911,183,479,
595,268,757,966,539,037,936,139,679,208,575,491,557,054,611,550,230,221,140,
878,974,213,708,794,632,211,867,662,845,708,410,951,371,874,046,129,891,729,
441,246,502,268,361,801,006,983,234,203,288,491,713,759,189,610,983,985,297,
572,180,687,286,912,601,613,813,980,820,562,144,547,315,207,509,405,453,902,
202,676,859,697,309,601,640,433,549,139,845,673,503,437,613,345,652,093,109,
106,893,761,758,521,968,748,194,374,051,432,052,657,391,222,625,549,358,756,
910,082,386,819,428,623,799,121,235,620,114,528,703,599,188,858,685,176,104,
600,755,425,849,423,751,001,513,321,430,077,229,864,639,075,944,510,481,072,
388,387,760,372,501,215,241,388,347,183,200,045,114,080,498,438,102,596,338,
603,584,883,065,166,932,574,810,378,864,740,518,091,996,727,550,425,266,125,
002,201,453,019,363,597,097,155,319,538,937,169,187,799,201,952,985,502,275,
511,916,314,244,270,362,605,095,259,954,152,469,625,132,077,854,453,480,514,
836,575,714,451,757,772,047,493,293,360,944,911,394,365,993,891,014,013,749,
229,929,899,244,971,003,606,265,037,252,835,543,570,539,311,224,211,157,348,
952,489,828,254,542,050,973,977,270,139,428,945,628,841,949,325,685,764,082,
875,181,504,996,516,700,055,256,636,844,003,482,749,636,471,787,439,227,345,
621,478,975,947,820,250,713,640,744,119,694,915,309,705,354,036,820,440,697,
485,298,727,891,016,524,485,036,099,688,630,416,372,174,389,879,182,960,234,
494,960,679,765,205,028,605,997,158,887,719,045,037,605,268,407,135,188,938,
726,120,696,691,303,491,417,822,175,045,569,129,547,116,216,695,174,660,716,
135,660,705,764,245,087,455,460,456,451,385,916,403,391,930,024,250,249,062,
588,323,669,616,951,473,301,322,433,299,680,819,040,771,274,068,068,017,235,
881,379,484,593,069,553,004,410,161,160,215,930,260,388,192,412,166,086,875,
096,453,020,719,424,263,531,104,503,758,047,596,389,427,708,486,544,090,093,
225,034,112,137,101,703,376,174,762,533,888,457,168,208,954,736,476,382,922,
501,745,897,020,907,114,349,582,135,983,858,053,946,645,731,197,521,155,418,
755,223,132,645,782,437,537,968,333,923,865,824,339,146,594,247,559,989,369,
635,881,862,628,733,874,868,287,837,480,017,228,742,082,414,019,154,259,723,
291,236,814,908,232,237,085,850,119,821,690,608,860,261,682,441,513,817,702,
688,401,005,198,390,865,015,411,175,162,502,940,393,437,082,847,067,046,349,
063,806,831,324,335,141,881,801,619,586,737,833,063,834,198,680,549,437,324,
350,157,267,431,362,279,140,576,823,772,819,015,929,803,523,082,731,449,646,
721,276,408,192,398,653,320,070,135,246,542,493,344,873,308,369,322,016,650,
374,079,922,279,429,374,190,475,523,280,551,402,500,017,151,800,960,046,496,
579,400,809,306,083,595,105,126,524,370,399,751,631,232,708,788,762,983,217,
890,500,666,609,533,489,208,358,970,386,670,836,945,716,734,898,117,074,428,
802,838,812,775,666,348,680,361,310,126,961,588,746,577,881,181,723,078,796,
879,612,786,821,157,850,974,383,145,738,505,395,338,336,673,608,823,829,195,
999,196,245,405,525,121,679,562,576,395,496,663,946,764,239,875,989,697,550,
094,019,319,055,409,205,341,643,801,807,339,955,136,249,032,235,651,593,818,
928,544,180,949,883,631,545,435,226,252,045,456,274,329,462,862,787,092,319,
802,455,160,403,439,207,860,948,471,231,792,364,339,706,831,531,655,726,013,
615,852,693,799,050,785,981,767,157,954,152,155,785,521,420,554,801,988,879,
449,138,933,538,398,933,819,655,778,173,444,376,340,999,005,167,690,471,349,
945,906,705,558,288,967,751,188,634,147,160,746,625,542,327,241,673,021,159,
585,954,666,076,340,645,854,013,335,457,110,879,587,015,308,521,404,226,979,
521,957,297,756,494,411,282,322,250,371,014,680,868,550,679,945,037,636,072,
443,833,182,433,587,289,762,223,402,662,292,791,190,627,259,921,663,673,223,
715,982,109,767,931,666,849,928,327,778,576,202,845,013,953,870,568,696,086,
315,156,808,199,737,114,176,318,202,797,946,721,657,875,677,681,767,453,968,
502,368,805,310,377,843,661,361,568,213,452,668,591,913,451,802,292,573,760,
671,922,050,241,392,662,623,368,680,284,034,355,530,817,815,749,728,530,926,
566,151,587,893,342,028,100,203,618,454,609,603,850,074,885,359,254,691,843,
904,858,970,490,043,829,491,342,702,037,272,381,088,895,445,948,545,364,526,
183,222,399,323,605,359,358,568,789,426,023,282,501,456,398,954,607,725,079,
969,487,458,113,306,599,398,521,872,780,155,564,017,361,050,806,387,529,307,
362,666,930,693,299,111,425,095,270,223,952,682,488,694,403,965,891,123,791,
394,567,135,327,797,146,272,730,600,491,569,482,984,076,452,648,880,861,171,
551,662,397,233,544,924,595,046,165,402,095,378,869,302,103,289,891,053,689,
390,462,432,747,068,532,044,225,174,133,945,564,561,099,864,667,886,954,146,
435,457,279,529,803,292,684,050,644,074,245,676,421,397,888,627,994,877,723,
251,314,475,985,911,126,908,497,908,704,452,594,215,443,788,682,673,589,677,
286,643,970,521,155,652,977,786,296,903,458,586,736,909,078,490,860,760,334,
525,397,163,421,997,131,640,814,859,470,976,495,690,524,100,162,241,844,142,
793,227,122,371,644,344,856,394,531,538,694,569,309,620,493,724,277,116,654,
777,696,802,358,795,980,975,265,495,421,042,798,744,286,591,085,309,065,048,
720,190,311,635,267,639,763,996,919,787,982,353,366,258,052,145,423,270,594,
840,230,748,162,814,742,395,945,051,724,523,011,435,508,266,331,134,419,985,
386,682,036,947,223,328,270,646,006,939,585,727,449,582,116,003,777,252,877,
070,758,994,248,522,483,230,222,255,224,527,353,245,656,076,495,443,368,492,
008,556,778,432,666,841,299,530,067,760,925,146,210,930,614,615,924,180,206,
780,456,287,446,518,825,393,435,348,566,780,988,946,841,767,276,199,605,138,
167,714,129,294,693,309,502,150,671,171,990,774,433,492,965,538,504,508,498,
284,359,398,301,739,011,120,852,865,063,248,418,043,845,756,313,290,515,863,
933,897,599,726,784,175,767,937,579,910,728,400,546,842,901,500,966,269,572,
320,410,483,551,222,030,802,668,303,041,237,595,707,998,409,941,578,481,403,
933,264,216,286,850,989,378,748,298,996,722,794,273,744,002,935,170,705,290,
854,128,793,375,495,949,634,387,062,295,650,887,789,394,546,705,025,832,308,
406,933,127,619,071,107,932,422,138,699,625,224,934,375,483,567,573,200,017,
441,495,834,396,258,027,628,802,498,081,056,030,239,395,583,389,394,074,925,
829,794,755,944,954,431,835,522,334,405,987,259,612,632,400,481,754,892,123,
146,943,091,674,122,432,768,518,249,517,571,666,811,998,107,171,534,298,041,
054,666,879,842,759,976,194,195,233,426,716,933,402,066,543,250,013,661,113,
746,974,095,990,509,029,336,273,137,704,215,879,023,186,476,968,415,076,005,
212,200,985,671,621,971,652,883,126,417,945,580,433,734,942,369,757,109,658,
391,858,992,586,690,535,144,406,906,744,546,273,192,338,927,193,880,795,471,
631,277,553,653,624,121,070,909,313,096,822,650,809,903,423,511,461,518,177,
115,222,735,996,729,014,150,071,698,563,628,353,939,321,351,359,186,023,514,
420,604,076,569,371,784,332,360,154,623,620,841,442,697,439,236,181,778,630,
758,634,312,422,208,032,536,817,567,967,034,754,794,086,235,209,770,263,867,
074,168,480,180,794,957,505,811,063,622,666,341,690,882,416,991,867,500,944,
158,574,123,862,543,117,514,643,806,673,243,585,946,371,362,279,445,448,132,
825,287,067,571,165,185,980,928,958,368,055,250,703,052,603,346,434,860,734,
430,416,322,170,331,178,309,636,905,198,805,128,765,017,656,932,364,668,502,
045,133,031,012,230,651,433,930,431,329,325,624,592,619,928,820,186,670,058,
802,105,322,351,932,255,660,174,913,576,453,810,949,333,890,670,346,659,514,
518,810,254,929,127,710,424,609,740,443,779,708,150,078,574,425,040,240,159,
910,749,269,506,667,801,373,178,855,257,044,098,772,305,539,906,570,178,364,
654,591,968,729,803,490,573,289,849,440,681,408,025,764,995,832,916,481,279,
083,810,651,092,097,428,667,161,391,252,242,754,468,873,213,371,430,260,864,
617,816,807,452,695,758,663,775,618,590,333,057,024,686,972,638,840,962,934,
470,883,440,433,675,272,807,295,931,724,435,716,981,732,003,873,068,497,356,
720,378,651,867,238,471,899,601,070,089,106,467,596,448,103,748,714,465,737,
198,795,130,382,960,480,517,627,333,633,485,800,573,558,370,059,050,289,865,
659,020,606,373,912,273,098,603,774,255,832,351,119,097,164,939,161,425,134,
652,070,569,711,774,173,930,368,110,457,620,441,507,735,239,715,152,524,334,
566,350,205,998,754,996,886,284,728,211,321,645,485,376,305,166,976,204,956,
021,978,157,906,617,620,298,912,972,778,391,616,921,461,592,176,230,206,735,
613,281,908,483,821,662,986,801,273,239,527,569,040,800,968,522,314,705,438,
131,458,506,802,198,662,374,762,386,420,728,486,981,216,417,331,353,222,012,
881,591,608,006,000,683,167,171,444,603,846,792,341,591,581,625,927,943,597,
922,582,546,157,768,134,163,277,417,574,447,588,094,795,618,533,542,233,380,
530,455,076,501,563,624,323,569,320,029,800,021,261,494,241,092,729,622,325,
591,251,710,101,782,584,590,058,029,727,412,527,676,013,954,097,233,638,666,
643,542,113,002,320,946,472,041,567,292,226,440,199,906,972,562,838,872,709,
774,166,745,848,158,714,062,202,090,386,218,927,698,881,611,287,080,347,491,
473,200,928,501,615,694,189,972,374,051,403,367,395,155,140,855,311,242,536,
494,743,367,415,379,665,412,527,761,565,834,856,842,285,801,891,276,775,124,
764,344,386,763,882,578,019,550,018,365,515,183,834,855,920,340,062,586,489,
551,024,709,984,423,764,538,670,599,494,821,662,955,542,147,474,506,065,655,
486,220,187,665,046,881,625,837,785,945,358,749,045,031,725,085,413,087,396,
195,155,376,046,855,412,461,666,522,730,532,185,195,749,466,227,878,080,244,
646,460,970,503,151,613,060,311,628,274,712,008,042,896,039,138,017,558,348,
490,569,914,447,514,541,775,407,725,983,555,345,567,801,462,779,971,682,040,
893,932,092,182,703,881,645,339,852,258,241,999,397,366,129,492,061,714,734,
458,498,424,592,271,845,053,061,695,323,324,581,365,315,849,146,249,939,547,
117,391,146,869,557,695,263,820,645,583,637,003,356,887,545,160,604,891,795,
064,507,944,955,965,946,721,195,533,956,009,864,707,504,730,157,454,934,572,
655,209,561,014,066,518,721,376,320,243,538,611,401,411,919,089,620,401,095,
203,760,513,636,569,311,096,553,189,440,324,132,481,651,596,624,352,525,230,
279,258,821,193,389,445,268,413,775,816,561,750,002,415,739,100,166,178,732,
515,346,445,715,381,328,731,052,300,556,815,728,517,369,690,492,426,994,452,
725,120,667,771,092,462,584,917,129,953,464,677,434,016,906,831,266,326,311,
570,186,846,274,933,326,652,311,339,918,486,628,220,169,269,880,772,606,169,
963,250,508,677,462,342,250,631,966,867,156,344,488,648,102,892,114,954,661,
275,905,554,762,030,317,862,073,885,677,165,699,780,600,609,722,248,886,882,
233,775,876,879,269,462,577,617,181,068,725,799,666,592,837,848,038,671,335,
647,520,078,888,056,205,667,310,598,575,079,233,268,699,673,854,110,235,150,
447,023,677,111,752,280,941,724,464,168,176,375,301,713,814,787,097,793,313,
000,578,751,821,655,025,012,648,084,199,631,182,977,494,235,708,312,524,404,
082,068,205,698,973,201,897,633,783,893,815,059,584,617,995,928,474,792,509,
952,493,360,369,925,766,759,482,963,503,420,333,034,069,712,658,904,762,674,
831,172,182,472,440,007,147,902,950,971,860,905,215,772,465,763,123,212,932,
744,272,721,411,860,559,630,519,398,010,282,254,758,825,498,414,687,969,763,
572,704,751,883,620,948,368,993,537,842,436,384,090,948,705,341,673,323,128,
811,297,118,935,348,340,072,410,817,517,699,152,580,397,322,670,118,903,343,
481,065,174,749,659,266,418,914,181,055,044,786,594,313,815,502,479,457,963,
617,733,556,479,914,858,405,937,223,626,710,758,237,649,358,779,254,437,787,
615,596,894,244,346,948,305,011,811,784,641,429,342,165,529,561,142,881,185,
977,451,026,476,557,242,394,591,229,711,460,183,422,799,102,697,022,146,414,
767,539,720,954,152,248,163,798,947,668,777,037,372,842,910,250,254,175,525,
444,998,692,936,130,699,559,921,452,647,615,161,252,203,696,434,510,913,940,
754,550,702,977,522,041,960,269,736,395,696,286,331,792,976,384,013,829,967,
996,669,865,292,382,782,014,053,920,521,676,831,914,976,843,902,606,854,061,
976,363,999,695,819,803,556,428,235,747,323,676,295,041,741,408,102,692,318,
278,850,991,599,030,929,893,588,975,986,970,592,155,932,446,078,178,826,503,
887,627,100,176,056,826,196,803,534,852,204,106,224,734,858,179,700,692,492,
449,655,585,207,698,927,802,942,896,175,377,359,662,690,813,688,328,569,516,
725,333,798,121,179,766,667,254,892,352,703,560,318,629,166,119,903,932,352,
254,077,770,318,776,077,120,396,197,594,243,215,623,736,486,414,504,943,267,
394,311,528,811,138,065,764,524,095,639,902,512,315,093,528,850,969,400,764,
466,755,450,991,826,382,814,393,213,133,269,765,251,238,204,297,793,369,192,
597,222,800,718,777,425,666,818,339,698,337,870,912,021,924,664,144,225,487,
615,412,930,334,216,235,409,376,853,120,301,671,701,463,454,199,045,016,130,
672,374,039,074,138,452,718,792,539,406,992,575,116,564,707,299,628,740,828,
749,198,618,504,830,262,813,793,959,018,454,765,288,201,051,994,142,383,047,
515,522,932,008,903,620,256,181,928,938,909,004,526,900,580,774,825,989,369,
116,862,717,998,899,707,593,526,688,560,033,864,136,999,083,758,070,873,995,
708,793,369,887,561,568,806,049,849,764,218,478,841,726,004,871,775,973,924,
214,776,126,248,039,402,872,847,152,030,777,080,462,782,431,743,145,913,709,
981,055,703,393,720,002,426,736,901,884,472,527,740,757,487,823,441,840,133,
098,006,616,176,498,956,538,729,671,031,322,501,316,644,135,629,998,390,968,
039,103,956,559,640,932,874,314,620,463,759,360,562,714,937,623,928,023,691,
498,615,876,705,795,954,094,171,424,572,357,717,898,869,570,446,391,037,752,
160,495,286,550,279,714,202,711,152,300,315,952,504,257,691,662,586,755,821,
069,050,394,892,481,872,909,229,113,094,338,101,809,804,911,346,865,624,256,
006,869,647,485,181,684,257,607,899,686,895,272,260,379,363,875,888,387,793,
355,940,019,569,567,635,868,833,442,429,852,023,453,608,778,932,165,433,023,
272,561,671,313,262,506,585,402,410,789,824,735,648,881,045,831,363,221,125,
351,022,866,164,924,010,202,863,938,100,373,296,436,510,127,940,010,828,498,
225,962,724,845,037,507,206,870,977,110,260,087,921,236,060,830,881,486,558,
153,562,034,894,510,273,011,856,678,876,678,147,497,314,728,134,625,347,762,
708,918,862,561,683,505,381,285,710,819,277,259,614,685,243,250,851,579,964,
345,329,956,473,401,584,709,945,029,115,779,879,349,467,564,707,772,166,708,
659,802,863,754,151,020,815,653,995,810,474,423,215,000,296,797,412,079,957,
597,039,538,657,367,659,112,697,770,103,155,506,592,200,040,595,375,809,460,
983,729,734,654,101,532,725,114,698,147,521,748,490,426,946,055,851,802,948,
364,771,908,202,192,040,103,531,575,773,654,500,840,597,187,238,686,293,593,
033,513,954,899,394,088,129,214,874,336,232,427,444,955,620,665,402,167,247,
264,646,950,891,421,888,951,713,398,003,984,705,164,259,054,407,745,413,172,
595,794,590,331,045,776,496,656,523,749,190,979,758,044,255,415,556,821,715,
483,691,276,184,461,196,521,044,463,741,743,830,468,943,424,142,829,420,269,
915,501,580,024,685,060,543,375,578,850,904,100,239,042,735,471,754,109,124,
651,279,389,280,956,675,902,021,270,947,209,402,085,329,682,917,396,758,520,
939,444,910,665,726,733,162,767,753,518,697,794,348,693,785,823,448,492,246,
954,385,780,619,755,202,930,459,371,010,115,041,256,740,116,292,425,846,838,
511,371,854,183,221,157,365,284,280,034,127,067,268,280,988,493,818,389,107,
508,729,132,518,393,057,671,575,354,920,627,185,791,784,144,573,556,848,821,
596,205,132,930,620,633,290,107,520,692,345,307,413,781,592,244,719,225,281,
485,447,458,729,254,118,085,968,057,299,744,781,407,989,274,619,740,997,026,
603,447,314,883,797,302,230,371,532,863,306,632,458,916,546,579,000,730,005,
599,933,887,247,771,229,256,259,475,872,162,205,836,665,209,468,209,295,094,
424,190,553,289,821,832,765,224,718,674,896,306,002,088,054,288,827,935,128,
419,151,770,543,230,332,143,480,367,705,139,255,228,158,850,936,929,167,977,
718,446,797,662,513,186,137,530,977,644,636,078,484,584,763,223,496,206,180,
877,534,727,847,359,255,780,912,000,229,924,967,864,694,964,235,308,252,714,
967,301,307,025,537,611,079,837,160,161,273,399,297,870,668,211,649,918,443,
177,100,877,623,432,301,339,963,985,058,227,390,238,516,094,297,264,496,614,
284,646,748,474,516,026,874,733,354,935,494,413,694,829,563,333,956,590,263,
032,938,291,613,210,860,719,376,085,165,271,311,543,933,893,754,468,810,304,
027,628,698,946,314,511,403,369,509,267,172,805,384,551,347,289,328,214,668,
344,711,188,725,271,308,330,309,641,300,165,386,382,596,214,640,587,120,696,
120,659,472,790,051,652,836,556,365,860,081,182,723,848,498,094,732,887,786,
474,048,613,518,941,276,806,436,135,296,629,921,101,534,231,642,642,988,204,
715,246,738,381,208,262,015,911,062,313,367,113,595,762,987,742,057,083,956,
236,346,516,750,286,813,586,563,599,490,714,422,979,264,930,188,770,216,189,
494,248,965,522,935,019,819,581,999,430,556,138,817,207,001,697,277,169,384,
856,698,485,554,404,696,476,642,068,564,033,950,806,867,990,002,307,926,028,
453,076,132,944,160,441,686,757,612,853,606,133,825,444,247,332,158,026,127,
694,109,862,223,464,979,584,928,534,215,097,419,838,536,994,229,685,803,279,
136,530,914,344,379,685,080,669,247,208,763,442,838,223,948,231,886,985,108,
426,717,451,148,362,016,575,932,298,395,367,144,406,353,251,881,097,032,407,
991,101,536,389,219,701,645,886,168,033,265,786,854,138,342,389,831,088,337,
787,964,148,915,692,829,652,076,139,972,978,361,122,939,713,511,373,707,926,
179,376,095,596,388,545,137,187,769,253,786,649,005,186,206,648,630,044,998,
446,018,673,795,415,459,827,366,587,212,763,128,283,840,620,926,185,490,408,
648,404,538,239,353,653,755,023,087,530,425,953,720,754,779,525,189,803,317,
169,225,610,578,972,092,390,941,367,148,481,562,057,775,056,650,257,930,460,
723,160,750,702,718,868,381,452,269,514,370,333,206,488,187,643,800,931,102,
905,814,703,280,247,415,122,692,833,899,252,389,524,397,440,301,748,350,801,
264,532,994,960,807,622,004,599,078,051,069,635,566,502,160,850,825,079,108,
535,353,512,719,551,432,738,219,025,526,095,247,939,763,728,039,037,060,016,
475,255,279,778,603,355,215,204,814,372,522,114,518,051,102,048,456,861,603,
679,418,745,016,198,988,658,940,571,940,029,439,939,003,867,778,884,543,715,
567,693,029,725,300,782,035,854,938,190,009,394,857,828,254,416,247,547,709,
201,830,774,408,904,865,818,914,233,506,118,683,592,392,398,109,787,574,950,
894,154,713,870,229,308,693,801,816,178,194,425,462,380,454,089,847,087,912,
976,183,327,288,214,171,246,523,093,997,531,205,612,149,080,931,920,194,248,
937,940,130,942,930,751,911,506,515,620,672,439,789,667,811,683,950,116,277,
110,383,317,517,279,947,412,219,216,445,957,650,912,584,599,846,695,258,591,
704,501,987,096,982,775,057,070,203,139,033,265,356,365,553,955,898,581,143,
113,652,658,772,152,942,759,696,576,768,889,169,534,189,061,272,372,007,162,
173,753,076,839,313,328,183,770,954,821,634,427,964,899,187,483,927,749,867,
865,258,709,383,429,911,522,658,482,892,504,908,417,659,102,454,772,364,254,
613,374,288,351,029,028,898,268,345,226,382,910,522,472,164,905,963,202,847,
796,284,105,759,280,389,442,879,281,371,564,332,929,865,460,140,336,397,295,
414,841,924,680,081,921,262,955,768,838,840,611,698,234,650,312,050,249,811,
426,287,573,503,932,457,690,357,453,492,229,937,391,217,259,962,978,311,137,
459,186,521,622,280,310,463,616,867,048,330,072,283,225,293,704,790,986,743,
185,224,935,437,520,431,969,866,400,997,062,262,795,906,532,873,650,291,433,
230,510,821,134,321,909,062,853,185,960,684,658,985,482,021,703,261,493,129,
709,635,611,317,920,659,356,248,753,730,995,628,646,381,726,355,015,016,453,
529,151,222,136,726,739,507,893,992,893,099,065,306,172,108,412,698,794,141,
669,677,012,477,492,486,531,152,463,556,290,431,996,050,172,135,406,154,377,
610,720,973,029,940,991,720,136,429,840,323,242,842,001,229,365,950,018,669,
313,700,292,315,269,518,847,198,864,859,102,593,590,642,221,227,124,323,294,
106,270,937,714,287,065,839,040,664,629,603,901,726,085,783,204,192,011,260,
553,213,878,802,042,371,224,831,329,461,114,215,098,399,621,620,534,910,252,
234,140,428,908,264,931,714,544,628,604,066,477,177,324,854,351,100,743,667,
125,308,722,974,609,149,840,775,936,324,696,844,116,934,256,428,783,265,139,
912,052,630,433,955,105,526,461,905,888,110,742,683,080,078,881,003,645,899,
720,622,151,365,124,316,035,192,590,292,908,101,864,246,827,075,404,854,487,
710,094,769,635,856,095,431,543,788,909,002,017,582,336,947,338,589,504,644,
000,961,347,743,232,719,425,219,233,691,478,088,714,994,472,042,864,643,427,
910,731,817,567,090,508,744,472,006,981,001,521,407,474,471,514,710,358,535,
518,187,561,310,572,479,592,278,372,677,322,990,773,176,020,819,390,729,418,
157,556,704,164,652,698,817,642,536,560,071,284,665,185,791,833,840,112,249,
212,568,990,101,333,029,120,594,362,122,088,086,157,238,365,883,633,482,316,
639,667,649,939,564,061,797,100,735,244,115,889,928,406,794,737,662,978,375,
220,942,079,481,403,279,768,536,553,446,980,653,440,158,557,010,005,601,827,
975,554,098,734,594,179,429,267,087,433,423,966,182,735,435,280,473,381,067,
977,479,603,303,865,222,198,269,814,582,297,877,750,191,016,946,873,704,986,
569,016,920,674,227,134,826,586,406,829,108,071,525,115,378,272,988,979,383,
760,778,163,744,452,337,796,119,174,802,205,243,391,308,487,999,878,212,727,
179,032,537,669,662,210,037,821,448,545,592,709,526,656,652,600,201,790,030,
141,208,247,912,848,371,655,709,086,770,319,168,490,001,471,891,685,308,928,
328,488,171,438,329,531,490,429,659,230,007,131,983,125,162,947,904,199,748,
131,258,548,521,465,661,761,278,102,314,127,950,906,910,809,145,264,025,729,
449,975,284,295,992,342,727,216,939,496,309,731,080,856,584,379,935,912,921,
362,810,780,763,520,866,293,313,756,677,068,127,005,660,242,552,910,259,270,
035,741,142,087,617,491,757,699,623,401,915,471,562,007,780,315,463,502,099,
244,307,685,079,945,010,451,404,072,136,698,619,760,128,524,069,485,602,401,
438,718,622,375,360,610,235,005,586,441,489,211,787,061,274,568,019,018,151,
162,062,103,669,523,024,988,938,017,583,382,718,339,252,494,066,080,869,583,
561,306,991,682,184,987,926,874,010,652,030,563,273,699,028,830,873,948,530,
739,881,339,856,610,196,625,732,275,586,691,291,647,279,160,155,458,604,700,
752,137,199,934,071,730,128,718,452,935,539,387,236,136,841,240,113,570,536,
609,950,040,119,419,144,872,057,759,838,261,373,387,542,905,442,213,503,527,
148,199,509,752,775,909,073,805,230,692,007,784,960,891,565,835,201,218,250,
425,997,167,514,446,431,593,306,757,024,119,174,383,443,154,150,099,888,236,
991,625,822,883,570,951,557,170,003,428,734,101,181,430,842,912,366,912,966,
095,162,509,842,736,061,857,674,115,523,158,492,922,857,593,897,418,768,547,
159,410,866,555,012,308,092,604,726,937,612,729,604,627,694,957,004,117,492,
210,285,831,824,334,295,559,041,705,860,639,970,788,485,031,527,325,907,203,
134,753,942,098,801,832,789,277,772,307,818,554,266,382,193,818,677,555,245,
768,598,073,278,255,268,875,999,121,750,725,113,865,093,186,084,640,795,802,
393,046,313,455,086,776,511,742,988,130,397,116,045,341,459,640,881,791,092,
507,869,168,277,714,401,325,137,269,412,397,101,108,471,920,685,446,617,497,
628,934,311,318,318,383,255,301,283,945,994,005,672,099,570,099,430,818,068,
880,295,365,021,452,362,327,544,996,936,640,283,725,386,281,544,262,924,178,
032,058,768,490,497,984,224,780,326,062,020,355,478,300,011,881,498,292,751,
114,399,660,865,802,401,890,715,814,822,552,218,295,942,912,190,693,205,633,
913,212,822,426,286,972,102,357,879,186,293,324,299,676,788,183,676,696,182,
471,197,508,989,838,280,718,818,085,619,625,942,886,677,316,288,369,006,834,
469,745,585,204,944,652,125,048,300,582,255,923,388,095,620,605,117,553,071,
314,531,775,301,928,527,104,455,261,970,193,227,942,529,539,723,816,018,528,
602,211,688,488,061,704,572,893,774,565,917,246,991,625,600,213,282,563,008,
225,120,244,651,643,288,432,073,165,868,413,445,194,887,066,840,483,933,604,
671,071,915,142,014,639,566,802,017,013,100,206,670,034,680,945,906,593,356,
097,351,131,079,527,929,014,655,570,617,592,502,749,035,539,862,705,287,447,
403,622,016,647,579,043,533,213,164,639,159,067,693,603,523,358,661,257,795,
051,698,500,309,853,130,355,576,442,391,492,713,775,448,948,958,384,317,650,
545,717,696,038,246,080,856,093,776,547,489,466,380,949,151,861,781,079,170,
954,544,178,833,461,968,354,504,062,223,241,817,272,554,384,189,261,463,051,
315,064,730,736,191,152,145,563,535,380,876,368,561,201,000,901,412,677,115,
327,018,433,349,684,248,004,430,496,102,916,239,784,806,332,165,298,474,466,
667,017,887,795,493,366,473,722,166,644,849,285,695,913,969,761,012,022,978,
284,090,729,066,653,033,311,348,572,865,130,959,007,356,701,483,501,247,750,
192,300,954,905,226,608,323,613,481,065,411,458,404,971,785,721,709,147,221,
690,056,597,462,011,474,839,263,180,783,764,724,328,905,306,483,212,438,232,
083,867,935,349,310,706,988,141,634,249,600,798,101,991,112,850,048,284,074,
060,072,296,131,707,220,927,198,118,791,041,932,243,789,472,462,152,504,440,
337,442,241,129,131,501,311,591,196,251,663,065,043,757,668,792,788,641,229,
623,628,375,469,810,054,023,888,482,113,403,846,863,900,563,071,457,380,345,
675,322,445,767,546,238,519,971,679,553,347,355,467,370,843,877,866,929,441,
204,351,309,395,121,987,613,844,757,100,200,968,710,786,642,778,315,619,387,
380,649,306,136,804,705,203,136,067,450,982,806,398,340,558,340,249,929,719,
033,289,060,472,334,601,069,673,062,915,829,519,460,803,921,967,696,981,786,
506,838,512,593,569,176,091,862,654,026,471,879,393,702,270,265,691,117,354,
336,983,974,983,975,118,324,222,516,442,053,683,632,695,908,517,533,143,455,
310,258,506,015,293,121,655,354,581,243,698,708,585,727,222,733,972,745,602,
899,045,386,606,749,179,030,695,677,712,730,603,681,847,610,002,594,318,426,
691,876,142,652,930,938,768,732,457,614,324,259,346,273,120,596,183,512,285,
483,829,460,748,877,837,174,505,095,166,440,295,976,291,779,651,666,679,715,
741,735,731,513,401,806,823,757,722,828,428,954,786,530,913,561,390,573,428,
361,808,942,981,295,338,624,953,545,808,773,557,477,687,248,704,279,535,059,
577,164,288,628,881,838,018,630,686,323,749,977,026,491,181,695,576,148,724,
647,987,690,044,658,107,036,273,778,468,399,592,885,553,416,850,213,139,264,
524,100,530,389,032,151,211,818,332,962,588,333,594,014,155,801,511,703,113,
769,733,775,330,037,710,435,299,931,710,212,028,780,250,985,452,029,835,032,
307,649,449,195,686,404,885,569,238,962,363,431,422,051,857,596,060,159,245,
044,332,928,455,279,611,037,012,218,366,865,975,501,569,160,477,902,705,458,
153,995,974,509,546,389,424,365,996,460,071,219,001,070,056,194,076,243,105,
659,427,949,963,261,645,656,477,363,946,923,011,681,745,914,772,139,416,218,
929,363,907,931,896,784,041,143,388,009,980,096,163,567,553,465,014,323,671,
417,739,518,573,519,471,002,209,410,062,298,557,960,125,799,369,157,670,599,
469,974,835,033,095,505,987,495,050,863,052,676,820,482,567,984,352,037,085,
480,059,472,856,788,914,296,253,971,686,335,554,376,816,042,973,478,920,337,
807,341,228,784,612,769,869,434,655,793,357,649,794,940,331,424,733,582,779,
024,363,769,225,722,969,860,529,080,928,964,173,881,678,320,248,331,239,694,
825,729,709,648,167,274,597,598,923,461,592,483,218,706,927,514,902,046,583,
412,389,330,695,148,629,090,379,148,129,944,657,060,031,546,159,780,190,150,
449,356,647,987,582,717,988,290,670,475,276,573,758,200,975,376,760,738,039,
815,347,428,942,510,652,072,850,452,076,039,574,243,398,299,085,172,731,786,
299,736,425,744,549,007,585,894,385,150,224,631,082,412,865,878,157,125,786,
920,698,334,467,136,595,350,608,014,667,220,567,943,765,933,515,228,107,926,
850,683,900,002,318,887,997,204,424,061,519,341,275,673,709,412,638,950,195,
211,367,441,844,939,202,108,187,948,016,955,749,820,972,236,484,781,787,311,
191,097,653,596,656,799,910,886,508,805,748,493,810,334,233,085,748,224,428,
807,393,674,104,407,479,138,274,297,602,013,352,646,246,977,905,199,014,027,
335,780,674,784,215,578,013,237,423,569,908,967,221,193,108,319,565,662,444,
745,865,221,173,124,395,111,175,998,430,839,783,420,971,400,306,710,552,952,
273,148,887,990,956,146,136,082,236,844,772,695,288,183,087,642,284,363,717,
748,270,005,698,021,557,230,611,986,960,847,808,901,736,902,008,393,150,544,
919,534,618,733,339,669,236,323,358,322,215,156,114,641,366,239,023,394,579,
911,372,672,537,065,123,991,915,328,373,693,791,344,975,525,787,747,115,998,
477,603,515,205,077,901,156,707,595,030,712,670,787,991,942,362,726,869,973,
739,444,007,342,059,707,200,918,225,263,782,580,093,813,269,120,003,664,806,
219,796,630,321,720,592,442,267,828,500,959,028,472,834,565,625,110,505,689,
665,901,242,517,255,259,194,807,358,159,677,482,058,517,125,859,332,357,852,
354,970,658,896,591,519,243,514,296,118,351,913,240,528,652,450,753,178,632,
381,178,094,943,670,094,025,876,193,301,429,473,401,269,824,262,090,619,846,
938,414,835,660,278,293,844,087,773,567,392,385,059,778,202,888,779,618,920,
784,878,620,048,697,636,984,956,059,054,177,514,915,544,852,891,294,668,674,
331,369,440,220,005,878,772,767,765,374,388,822,317,058,409,629,331,687,752,
245,277,501,079,733,952,809,069,572,343,409,003,339,064,246,499,068,322,400,
033,930,017,481,963,137,741,904,118,974,218,275,589,982,018,230,477,539,500,
108,077,274,622,839,954,663,304,370,417,559,689,332,235,444,560,704,298,675,
966,778,422,194,044,425,789,609,922,061,424,670,815,988,957,075,377,468,154,
079,031,291,864,820,384,462,734,210,037,679,103,846,261,663,855,176,514,332,
237,273,230,876,022,068,855,626,648,389,306,997,083,466,321,604,759,193,949,
729,673,043,299,785,687,127,459,362,942,421,948,144,626,932,085,665,399,177,
833,310,417,276,136,469,810,333,774,713,619,758,435,678,205,789,666,107,641,
468,867,281,860,063,100,097,946,371,383,631,985,209,664,881,600,339,261,243,
382,434,023,780,363,360,508,760,539,256,287,603,310,173,657,796,332,784,272,
656,408,740,434,038,659,685,578,606,755,184,668,957,998,943,161,297,687,810,
200,649,126,645,946,688,721,983,001,626,088,894,144,473,791,996,631,701,431,
365,710,714,229,584,177,640,302,811,299,800,421,643,967,459,943,987,513,107,
043,111,325,285,189,403,894,701,550,807,752,792,335,924,907,667,983,639,330,
813,023,697,230,818,017,070,233,823,375,866,299,872,571,987,627,529,348,029,
645,154,650,560,354,419,508,228,056,755,401,247,115,266,976,052,107,257,737,
896,823,359,375,869,080,805,146,362,613,446,922,312,194,269,010,350,767,944,
093,846,974,974,144,107,220,687,316,386,167,099,240,991,278,923,524,635,734,
046,079,897,429,597,570,177,133,524,354,563,788,272,002,105,359,647,041,115,
083,125,177,345,081,003,991,020,766,970,433,778,031,520,040,292,236,595,616,
346,377,984,347,995,758,566,051,934,380,590,755,410,798,697,472,790,906,113,
448,288,053,891,201,895,565,419,139,173,482,390,954,642,375,053,007,297,137,
499,497,522,448,782,471,179,544,156,915,552,205,181,199,968,789,087,694,121,
898,091,987,288,026,953,990,068,816,305,352,363,049,687,416,552,653,082,514,
090,566,307,869,862,738,835,610,744,403,454,591,700,599,480,575,480,262,898,
000,632,730,829,575,257,371,850,172,954,079,300,207,608,488,776,150,339,718,
347,177,199,488,471,722,282,501,175,220,809,953,959,800,812,446,857,600,568,
126,657,035,783,372,769,567,927,717,275,159,476,293,151,864,284,471,861,902,
014,425,107,119,807,880,649,545,684,827,034,293,800,515,920,835,391,381,411,
832,253,415,266,795,560,892,955,912,813,086,516,291,148,964,303,476,291,172,
743,433,622,496,785,583,455,255,858,062,111,713,582,579,263,741,623,450,912,
976,900,899,382,594,378,159,798,469,648,259,988,144,902,136,367,420,412,955,
410,324,252,602,606,250,561,767,301,830,007,662,628,428,648,514,138,767,891,
579,439,721,720,787,408,706,061,813,468,831,991,129,801,056,729,437,780,106,
310,337,918,516,915,440,978,364,282,728,454,238,534,549,076,077,409,081,819,
932,521,903,591,389,829,047,622,889,367,337,621,815,544,900,061,704,100,471,
324,477,459,386,780,579,661,792,463,604,172,246,621,883,645,647,380,451,558,
365,461,855,100,013,831,375,724,848,794,162,071,190,834,882,379,758,053,962,
842,322,875,863,095,828,925,045,670,041,427,122,599,577,948,125,541,687,421,
433,400,387,669,430,795,111,294,707,622,255,924,438,242,354,808,430,369,584,
081,334,832,749,434,820,798,198,899,309,537,095,319,774,446,799,067,499,021,
131,566,680,818,761,840,170,451,559,970,004,263,918,999,068,616,329,561,555,
339,541,592,329,373,286,856,327,533,591,588,064,738,061,161,801,069,210,003,
769,088,558,850,416,765,655,730,056,736,802,622,141,678,050,510,707,429,766,
474,988,785,436,179,321,481,875,555,604,217,864,786,556,405,912,826,135,483,
275,970,839,848,206,917,994,062,581,605,345,040,758,121,482,926,267,481,026,
864,779,371,641,965,217,836,181,216,681,153,119,186,556,436,040,160,104,832,
546,472,870,941,629,237,227,545,702,738,511,034,904,033,894,191,389,823,569,
637,883,451,923,212,312,227,679,292,045,102,173,857,577,245,359,405,924,382,
997,258,260,400,475,229,344,851,651,517,274,913,963,633,271,009,172,859,949,
682,992,263,339,893,311,499,482,006,285,958,385,435,944,043,256,350,756,491,
388,024,146,198,593,460,580,084,687,869,679,329,451,830,129,470,519,425,911,
808,407,943,803,715,375,502,072,057,078,350,930,236,025,456,618,582,607,902,
459,541,978,853,631,989,804,687,123,589,425,976,933,100,921,855,925,696,993,
579,259,146,600,323,876,221,912,890,325,403,153,804,633,640,497,692,585,135,
985,952,203,753,937,917,595,963,943,059,747,433,771,134,283,493,122,362,841,
483,806,465,917,872,860,434,481,824,363,092,742,586,295,709,195,856,548,195,
437,907,708,548,884,082,043,633,157,644,985,066,978,835,059,473,608,927,799,
037,851,407,692,098,115,926,895,082,362,870,252,281,862,513,576,942,900,097,
881,826,888,661,149,138,150,002,915,310,255,072,346,902,553,182,190,996,540,
831,131,390,873,741,086,354,489,033,086,737,804,031,378,664,520,457,193,160,
035,811,446,110,708,331,999,579,480,428,250,453,426,131,159,854,429,835,941,
825,721,841,531,608,097,398,854,092,760,044,440,277,055,351,007,534,902,393,
878,549,771,657,756,384,056,989,522,628,228,155,856,879,150,279,376,515,565,
022,371,777,128,520,704,090,335,828,859,470,419,215,087,649,526,374,755,905,
560,157,017,242,860,414,091,415,309,992,026,701,363,141,007,389,707,247,820,
301,792,020,004,787,999,128,230,019,413,107,284,435,753,130,348,397,783,354,
074,059,881,539,653,696,050,011,096,156,082,579,428,149,775,347,404,998,674,
428,291,104,445,036,462,541,490,958,293,902,889,110,524,473,001,840,199,354,
942,137,844,524,034,362,789,268,609,842,196,619,828,427,301,861,580,388,549,
827,311,509,126,919,217,448,046,300,470,079,167,832,808,868,967,417,654,647,
477,412,941,119,267,682,647,073,569,149,147,500,763,509,014,723,906,800,203,
603,890,629,886,889,947,127,739,157,531,515,840,538,416,191,712,526,527,006,
155,707,154,783,237,138,203,385,441,556,086,410,473,997,982,458,637,612,963,
876,289,560,941,341,173,174,542,903,329,970,976,449,968,960,040,641,607,174,
975,260,250,485,435,219,283,218,777,289,455,908,195,638,464,873,440,034,999,
462,230,862,612,202,057,345,137,476,124,380,739,717,114,613,210,416,498,036,
650,001,855,942,389,493,090,850,600,601,405,378,114,766,653,279,732,923,477,
675,910,450,557,259,354,682,019,206,024,265,504,762,303,048,416,736,071,735,
481,473,282,534,630,526,405,867,549,604,002,886,699,173,386,131,147,341,568,
894,475,207,367,342,157,631,267,321,796,678,818,130,633,237,228,592,086,891,
395,334,293,274,932,742,126,605,968,597,878,637,803,372,965,671,282,438,860,
714,519,392,221,229,778,228,474,795,589,740,951,470,611,851,304,619,738,882,
711,155,738,602,925,384,892,950,335,434,177,287,059,573,664,800,701,232,248,
352,846,699,765,345,322,913,369,467,027,199,958,731,575,690,709,992,969,858,
094,183,601,111,248,730,046,581,595,419,031,958,097,650,041,997,204,291,605,
569,364,087,292,425,848,731,677,370,616,773,344,144,763,677,171,857,333,103,
860,524,690,229,117,722,800,359,910,560,589,911,476,378,378,559,208,863,372,
645,299,414,550,482,622,870,516,306,662,750,191,413,830,320,020,096,580,823,
819,052,873,398,619,797,307,750,986,590,439,390,600,963,033,521,960,208,643,
210,298,938,937,548,438,907,330,176,396,777,270,287,834,651,952,587,794,253,
407,332,790,967,873,265,732,740,298,673,903,184,569,133,006,381,132,430,264,
823,212,141,824,643,114,374,305,730,297,722,066,194,495,556,756,117,053,525,
363,999,196,431,968,199,267,377,244,579,897,517,103,931,747,626,981,906,700,
808,530,094,830,284,783,126,371,391,385,781,966,482,872,393,936,491,888,355,
292,651,633,976,244,405,900,691,392,451,838,075,501,917,719,943,804,972,353,
968,068,907,604,909,637,303,392,962,105,914,101,693,199,773,864,396,252,666,
531,092,953,372,077,774,728,379,338,843,796,828,440,513,124,771,542,717,321,
149,623,558,031,256,247,884,043,776,705,666,761,557,027,281,923,234,721,455,
050,759,743,441,834,664,361,011,809,741,790,290,329,211,264,636,882,080,015,
410,196,074,742,460,996,369,351,632,494,849,962,070,641,940,695,398,325,082,
739,959,821,782,251,352,186,549,586,546,877,617,318,573,137,832,015,854,301,
606,246,923,838,932,609,788,384,554,803,740,662,590,245,923,924,154,118,503,
458,652,554,060,036,266,270,065,165,530,330,215,771,004,681,405,151,016,708,
551,795,073,448,668,467,139,192,312,531,722,177,511,820,295,946,996,596,619,
490,034,271,470,057,503,347,730,673,383,432,218,985,983,922,432,618,569,664,
845,031,442,079,847,733,295,276,737,836,788,942,444,944,315,899,155,404,375,
162,302,731,370,385,445,133,906,838,015,627,299,152,849,122,576,660,496,578,
636,378,738,932,733,527,361,333,333,100,505,135,371,710,410,783,959,761,057,
153,441,100,409,056,343,228,752,290,512,632,263,312,371,028,186,420,478,919,
593,798,893,417,143,631,279,730,960,040,125,719,009,521,425,849,051,341,597,
743,616,983,889,156,551,638,434,084,234,221,626,985,554,697,242,808,121,510,
674,215,218,657,689,864,326,150,717,252,914,028,065,649,617,595,003,029,033,
214,249,570,939,739,872,177,856,987,828,573,609,607,113,354,246,062,919,823,
565,529,307,669,358,000,661,413,075,012,726,831,583,839,956,176,191,220,845,
014,110,187,902,676,595,856,400,491,123,194,248,904,948,478,062,063,042,640,
591,648,003,004,851,397,745,563,295,635,060,552,211,327,199,866,120,168,080,
570,735,710,222,163,598,118,035,168,863,486,121,942,847,812,401,632,397,113,
681,820,813,565,196,120,178,769,967,320,777,466,833,858,446,464,190,063,441,
286,197,827,819,173,039,581,652,858,771,544,741,906,485,812,597,230,132,326,
786,308,144,606,423,372,614,157,996,613,903,116,996,120,902,567,310,156,676,
690,124,730,276,363,488,423,131,133,780,259,583,500,618,485,337,545,547,716,
593,033,155,133,654,547,822,470,350,517,315,993,883,318,230,046,263,851,231,
229,539,941,964,858,377,571,255,855,468,366,638,404,631,098,996,803,038,797,
890,442,949,272,131,209,056,527,884,095,615,957,047,105,120,459,964,675,610,
904,191,855,039,434,662,950,769,460,503,786,242,066,369,511,481,293,991,924,
317,829,898,400,740,306,731,150,509,179,942,886,366,720,977,694,641,755,847,
390,334,511,832,521,957,675,251,200,581,694,144,947,432,464,499,767,179,584,
293,683,982,653,908,322,984,830,344,484,660,759,718,079,147,872,449,919,513,
624,746,548,531,445,434,795,790,642,819,065,010,712,639,219,733,468,185,078,
829,893,237,171,621,251,295,373,726,866,239,973,872,521,866,194,612,390,238,
374,653,715,120,350,983,184,275,059,544,460,894,910,058,451,829,177,895,315,
097,469,166,872,380,385,832,051,276,515,825,470,670,947,888,117,485,500,117,
669,017,467,710,488,813,361,395,176,341,310,399,146,497,797,119,508,625,595,
103,246,640,984,933,048,022,894,891,606,084,675,824,470,164,112,584,088,264,
375,549,874,049,529,510,961,885,906,667,843,632,507,994,394,718,816,037,230,
407,089,950,813,191,330,828,803,845,838,320,185,975,210,818,641,496,561,126,
121,200,696,006,431,519,095,253,511,399,808,898,980,601,719,628,187,001,298,
022,253,892,039,812,529,364,082,578,792,080,465,994,467,176,428,148,010,841,
828,185,992,751,205,933,859,639,525,239,942,338,064,667,423,623,293,582,378,
828,170,192,828,492,254,766,370,321,520,079,430,139,847,012,031,575,399,631,
546,083,119,672,936,147,634,130,182,525,681,237,376,410,285,461,213,522,950,
920,949,678,651,079,877,734,648,241,642,821,269,497,010,767,078,083,585,174,
204,101,004,111,067,401,076,541,576,797,391,021,722,769,168,848,973,184,613,
346,115,986,332,659,348,627,998,311,302,862,315,470,991,727,602,007,399,009,
359,141,648,175,840,586,807,778,913,720,582,621,953,720,258,099,630,690,406,
076,396,204,761,544,580,569,309,027,340,958,432,751,421,864,141,442,240,992,
598,245,189,128,578,026,746,207,324,440,900,632,470,146,359,107,087,515,506,
522,765,558,188,695,356,235,425,361,457,409,469,439,213,935,159,742,496,124,
608,877,899,621,337,522,166,614,632,754,536,539,676,472,088,191,091,143,459,
842,676,883,266,409,237,009,255,222,112,717,415,764,991,799,920,446,345,197,
915,702,181,919,838,685,794,336,575,676,146,585,225,747,329,154,382,760,599,
368,306,532,055,716,762,160,580,854,113,256,061,238,665,833,665,787,558,875,
624,055,093,057,656,756,662,422,518,479,677,404,089,690,712,402,244,171,081,
188,432,837,717,954,560,627,064,417,644,330,192,365,661,540,277,813,928,317,
251,869,960,416,786,327,665,577,069,200,502,861,414,322,932,184,294,878,219,
413,676,445,837,450,281,766,397,693,720,690,650,816,281,862,758,796,127,039,
547,497,444,362,393,844,281,544,213,642,878,082,627,313,565,241,576,050,457,
244,926,934,869,772,432,390,241,089,063,743,353,663,112,902,646,990,169,020,
371,103,411,464,114,252,169,650,725,430,595,270,633,627,766,679,632,246,470,
261,122,685,504,617,119,494,632,281,221,138,460,158,069,176,536,357,542,388,
342,183,801,713,501,079,154,669,221,711,397,914,742,645,158,145,223,104,963,
237,387,233,611,418,692,102,346,095,488,063,748,568,712,360,248,143,027,623,
750,289,699,493,088,699,537,598,056,652,471,574,132,185,778,719,006,644,836,
173,184,775,069,709,127,564,038,274,139,140,041,416,068,352,143,310,760,324,
759,255,466,796,226,598,078,996,941,297,446,705,746,197,210,687,151,282,766,
722,016,818,476,593,665,413,559,843,317,815,394,816,342,217,457,126,131,107,
840,539,533,179,215,747,046,012,539,782,278,088,684,922,046,283,126,770,324,
658,728,569,950,704,107,991,276,359,152,843,825,059,137,422,769,688,447,988,
466,589,603,010,323,289,655,671,319,805,730,332,129,500,613,026,899,035,641,
939,609,640,606,511,283,598,234,799,384,525,630,705,321,969,488,669,534,346,
767,210,750,262,221,743,828,232,720,533,230,800,200,802,573,950,741,738,095,
853,220,144,784,903,375,568,578,927,057,048,770,320,260,198,349,777,966,810,
089,872,910,092,324,771,994,763,904,925,479,621,525,231,612,298,452,756,358,
307,232,251,454,072,188,679,799,882,643,441,237,131,161,258,802,006,376,212,
015,814,256,788,101,499,549,555,195,319,811,699,970,059,860,994,613,139,861,
975,510,463,773,442,900,967,700,155,406,413,290,991,653,265,108,629,141,349,
148,658,038,374,376,463,861,501,908,907,583,011,949,321,043,532,646,884,146,
852,820,703,620,763,551,358,100,399,440,481,389,740,274,791,461,101,534,595,
864,038,403,829,559,166,821,684,831,646,112,820,252,827,770,876,174,156,455,
476,524,046,775,530,716,345,458,940,337,284,013,593,505,223,874,855,711,262,
456,028,714,072,855,163,242,844,892,397,695,550,081,182,986,468,373,042,533,
464,760,921,286,826,376,607,406,395,845,425,055,103,722,666,680,833,338,592,
949,006,646,868,130,318,085,123,650,651,740,624,981,143,098,222,185,485,120,
576,773,583,273,920,224,667,237,925,737,667,644,192,022,792,337,961,819,909,
733,945,379,406,642,189,319,566,197,869,732,623,061,649,926,821,195,308,755,
303,184,703,976,742,007,575,525,797,983,409,389,444,106,070,589,040,386,468,
448,374,071,411,871,175,546,843,914,095,692,972,164,930,138,611,475,828,366,
746,749,527,062,648,859,047,673,834,263,346,209,758,251,794,927,617,512,375,
050,067,867,221,752,151,130,074,050,561,053,421,712,733,204,979,041,846,404,
090,745,219,276,733,312,894,450,259,030,813,708,391,601,744,276,352,319,517,
588,797,319,657,344,109,549,992,212,741,649,991,814,918,059,686,178,472,618,
900,758,309,919,715,831,108,261,664,778,276,005,549,590,934,551,188,116,641,
571,744,587,291,996,617,095,341,345,824,739,109,263,836,049,750,532,895,458,
254,751,390,755,561,239,878,645,476,066,010,405,193,656,808,725,613,402,784,
376,699,583,350,204,568,068,866,069,165,208,139,159,440,312,287,878,787,954,
690,180,267,305,756,842,344,928,945,166,833,070,669,551,752,553,675,752,219,
597,570,356,973,793,161,297,846,357,940,300,879,855,997,605,256,302,786,745,
188,739,436,847,735,004,792,118,680,930,422,659,596,293,242,719,028,513,867,
572,307,590,910,943,097,582,452,843,581,363,780,723,145,128,924,030,977,623,
722,153,391,424,830,108,446,526,235,106,124,428,533,208,175,739,375,754,699,
581,961,419,469,087,039,660,200,161,345,150,176,298,754,970,310,934,090,155,
381,649,288,725,790,264,776,707,453,216,921,695,472,940,897,543,239,068,785,
345,064,362,983,067,314,671,284,434,338,755,449,477,772,135,986,503,132,104,
912,054,434,288,931,920,369,954,580,348,164,065,706,982,891,805,797,087,904,
042,808,534,544,914,670,076,227,276,244,304,079,371,783,253,129,286,330,670,
515,002,791,191,528,637,477,721,912,131,153,884,800,673,329,022,471,774,216,
945,555,581,471,071,530,486,821,100,424,749,261,675,752,965,992,023,543,054,
537,585,993,294,694,345,821,640,635,705,060,376,103,518,326,935,850,785,579,
544,775,466,691,030,754,416,315,944,570,157,259,611,991,618,620,174,129,625,
545,075,110,360,387,776,985,302,132,673,999,465,903,710,132,450,835,603,315,
447,997,593,687,131,063,583,010,215,165,458,519,266,340,962,581,774,059,032,
472,476,276,212,899,627,728,082,309,402,959,149,159,926,064,128,365,807,243,
368,542,863,750,305,692,727,518,627,081,461,705,134,917,843,402,058,723,023,
039,847,052,294,457,340,857,106,886,151,341,409,424,042,001,784,744,524,484,
280,246,063,664,632,429,526,961,640,894,914,076,834,695,503,600,635,867,099,
632,958,164,671,642,744,220,339,349,660,748,381,434,806,420,093,551,581,686,
528,092,261,904,703,126,702,127,256,375,169,060,704,791,579,655,486,950,057,
711,556,005,293,366,586,746,649,308,913,798,641,414,756,780,572,189,991,262,
739,547,315,246,373,603,448,664,626,930,555,498,452,515,646,662,941,664,269,
215,820,281,126,606,472,358,264,721,202,171,983,499,435,953,142,593,156,998,
428,374,306,002,036,454,215,398,277,417,944,196,510,889,240,525,210,668,883,
308,461,735,924,657,346,741,354,945,240,564,640,860,481,196,838,990,520,178,
566,672,806,464,379,861,055,482,305,565,787,273,823,627,923,046,947,288,438,
085,244,778,252,384,885,918,234,366,526,241,978,241,342,085,177,828,687,039,
196,218,635,227,703,994,694,600,675,627,732,465,480,348,569,608,068,366,325,
687,354,021,261,253,302,428,345,129,105,202,579,887,749,147,245,858,859,801,
845,312,908,725,214,065,962,395,010,207,259,378,623,249,126,948,390,030,928,
358,428,356,373,447,843,416,930,010,634,349,676,956,252,056,461,454,736,541,
304,509,122,504,045,942,505,739,229,313,222,753,623,585,789,116,639,620,728,
365,618,784,143,423,616,925,416,223,678,952,267,992,249,407,339,539,769,461,
000,885,826,001,768,675,673,701,724,797,244,306,805,707,325,492,164,273,462,
358,510,862,201,231,288,808,738,057,844,717,904,824,263,390,168,364,424,600,
581,082,948,219,985,417,422,205,007,060,158,177,773,293,746,737,176,601,688,
653,760,923,943,527,739,616,284,699,773,361,861,240,473,941,392,840,969,085,
130,836,986,170,478,017,904,558,200,772,635,853,760,156,768,679,655,733,710,
617,834,463,861,601,081,501,146,368,780,259,042,333,209,385,755,332,433,743,
295,491,292,409,648,917,512,799,343,538,703,412,017,389,084,041,299,441,603,
084,277,243,806,958,605,951,763,250,190,658,935,554,685,855,342,175,429,685,
476,283,521,327,056,478,623,272,638,385,566,903,241,724,658,907,163,025,605,
877,112,530,244,392,384,471,934,847,636,842,580,567,870,373,326,482,883,478,
315,992,645,698,033,712,903,729,507,095,711,072,059,697,413,617,219,458,030,
971,677,876,737,127,504,605,006,604,343,779,268,298,595,919,431,863,128,265,
511,931,803,825,850,101,716,527,683,894,830,242,597,060,515,623,817,278,493,
439,488,286,959,603,069,759,914,088,825,349,671,164,200,227,813,429,040,051,
245,429,802,523,111,704,679,754,507,021,141,752,024,794,087,203,830,886,150,
450,985,057,141,612,576,409,241,265,020,388,628,108,474,712,466,427,069,052,
743,017,913,963,128,127,571,652,287,002,072,314,267,733,908,904,309,044,346,
791,286,365,823,208,825,709,475,422,158,497,937,917,069,736,902,969,894,443,
322,242,541,360,568,446,302,192,783,036,458,238,703,889,474,371,668,110,252,
168,770,071,258,436,328,206,378,286,353,092,192,809,677,932,437,198,876,700,
987,100,407,837,627,927,434,286,037,741,532,173,471,918,293,452,267,346,508,
146,296,174,358,443,017,345,749,924,153,461,776,477,100,352,833,421,686,539,
295,600,711,981,318,304,822,032,335,982,905,667,019,106,564,888,898,681,168,
989,306,502,605,454,284,288,281,681,346,600,538,439,414,197,010,386,654,960,
615,817,220,455,923,291,942,710,647,355,898,647,407,326,081,911,884,717,177,
845,093,208,115,198,455,472,301,776,158,823,367,501,586,757,691,900,380,306,
031,437,989,485,169,118,734,802,972,064,934,274,289,952,221,801,054,844,730,
248,488,428,481,872,709,475,402,212,681,649,964,996,537,335,408,852,794,701,
942,985,134,789,668,991,854,525,218,543,420,953,607,992,103,070,572,864,328,
021,053,578,133,847,653,288,832,529,392,309,965,550,998,078,410,914,382,526,
863,849,473,146,569,693,491,216,793,171,731,500,452,388,931,441,856,312,240,
628,001,238,811,284,896,561,156,842,314,418,926,760,790,683,578,722,831,378,
757,414,212,883,620,872,339,444,056,775,395,472,637,802,028,382,680,066,016,
594,977,233,723,027,395,190,533,487,098,969,527,371,499,644,854,156,697,602,
785,233,820,712,184,717,336,186,123,804,211,042,622,788,539,770,373,106,556,
813,362,565,805,965,891,601,824,761,089,729,118,782,606,853,826,059,520,705,
840,950,757,535,011,824,689,863,227,352,088,151,756,293,657,287,565,942,481,
233,798,341,381,674,041,454,321,306,138,892,159,842,222,992,828,113,474,573,
634,630,510,939,223,326,360,355,794,036,804,107,719,480,980,215,610,369,275,
684,524,370,698,811,025,571,933,481,301,098,271,343,624,372,890,932,891,918,
346,535,254,799,174,284,701,144,922,345,684,213,249,483,091,568,120,032,869,
458,519,025,509,339,512,832,017,174,397,124,374,619,447,367,558,660,667,610,
589,062,502,971,597,383,853,224,293,906,880,003,745,087,865,161,635,929,783,
505,977,019,042,018,922,743,207,230,824,210,022,972,997,690,291,773,641,667,
044,837,196,084,951,380,034,841,257,282,939,591,889,169,777,872,325,351,590,
487,257,370,600,603,696,051,686,230,492,322,341,399,024,862,267,513,436,497,
620,109,578,754,540,442,080,321,933,469,874,567,727,562,858,456,144,449,456,
747,417,803,474,319,399,610,292,487,757,021,139,062,748,778,400,138,275,293,
367,464,858,121,366,083,861,993,137,874,735,168,426,048,854,114,508,466,980,
241,595,586,130,239,618,255,665,691,034,594,267,531,086,683,853,740,830,385,
067,538,132,422,350,390,374,835,015,421,810,246,884,554,351,299,201,615,222,
366,645,095,142,784,904,606,898,483,633,464,787,867,223,165,928,734,945,976,
377,050,782,039,969,128,901,106,775,454,709,738,148,198,482,025,630,244,611,
369,873,571,135,562,790,003,831,205,948,520,504,623,223,614,706,965,536,805,
763,572,559,852,333,582,086,824,775,452,372,096,697,620,255,724,385,911,970,
542,476,952,495,562,255,676,818,005,584,734,663,903,762,924,429,917,599,527,
356,803,576,381,894,841,087,270,834,433,141,242,886,664,358,362,049,567,927,
827,600,266,424,762,551,588,452,882,492,508,093,954,337,185,141,401,735,761,
237,584,789,156,170,110,026,401,328,302,032,666,467,038,443,957,177,646,225,
360,452,124,779,207,652,267,528,051,623,696,994,027,228,788,797,570,132,738,
364,947,513,843,208,230,441,687,787,799,875,914,124,414,301,852,392,871,581,
345,588,246,911,166,822,283,405,092,149,112,720,514,903,185,948,212,112,517,
818,250,140,243,082,489,972,480,226,535,483,563,336,389,766,708,447,104,552,
267,726,969,713,963,270,517,218,356,994,399,094,668,025,261,249,067,141,638,
093,239,407,825,912,075,424,282,227,886,337,952,800,954,797,000,132,847,623,
096,895,934,969,320,435,015,577,590,530,115,698,257,058,682,668,955,742,983,
767,684,196,996,947,127,648,313,987,291,490,121,946,560,901,379,695,603,998,
231,773,524,142,521,335,531,291,258,372,462,648,597,764,997,733,820,177,103,
632,615,866,241,535,071,379,409,648,241,403,156,805,447,080,454,606,532,654,
915,046,039,898,845,122,552,253,508,524,106,338,269,426,788,383,329,595,972,
816,531,287,887,889,128,258,706,576,332,978,790,775,577,235,659,493,878,823,
714,363,325,891,727,442,607,610,870,086,992,468,477,154,046,987,152,070,655,
489,328,384,198,035,737,865,856,458,133,966,811,289,558,341,279,338,591,100,
852,169,883,590,255,975,213,608,411,911,040,517,688,251,487,776,117,482,552,
712,108,747,470,530,449,913,874,199,312,038,974,124,020,651,701,369,381,560,
281,866,313,321,576,943,891,635,381,243,877,109,553,991,704,579,689,056,929,
240,281,796,792,428,756,734,923,223,245,680,921,203,350,665,611,292,686,888,
610,720,947,240,837,806,265,350,640,908,378,528,732,116,963,058,629,756,542,
775,280,205,544,336,695,941,907,234,306,763,348,387,926,682,991,221,741,216,
253,969,537,493,639,305,680,699,231,775,045,183,809,664,042,642,367,432,048,
376,594,833,536,548,511,797,122,069,640,312,093,853,330,408,292,046,708,911,
469,687,857,421,627,296,466,099,034,544,630,973,987,083,616,132,767,535,361,
940,479,396,035,730,958,140,905,715,347,225,974,103,085,419,109,187,064,050,
207,541,863,175,820,372,400,889,640,739,152,439,997,676,735,086,579,421,381,
825,974,266,911,275,491,136,427,036,891,609,426,742,295,258,922,108,212,106,
101,091,476,807,994,347,437,398,458,049,400,453,495,615,820,188,941,177,356,
241,298,200,949,214,796,485,210,228,628,280,699,518,709,744,085,124,557,872,
491,123,883,909,188,994,932,964,192,054,405,761,879,317,990,636,291,386,583,
722,322,828,950,822,602,692,488,544,851,181,486,084,439,384,677,960,662,027,
246,264,863,455,800,002,207,253,262,520,720,838,395,046,225,066,005,173,841,
017,031,132,430,287,381,613,931,663,874,028,694,981,324,101,774,759,686,666,
251,792,267,669,848,673,891,584,007,972,899,581,733,770,236,166,585,153,405,
683,766,854,872,003,442,115,378,490,835,733,746,639,407,943,496,404,042,100,
852,664,792,003,360,198,099,804,326,613,476,844,236,371,547,369,198,190,495,
827,016,829,155,871,344,667,251,144,030,320,109,402,301,848,695,128,820,816,
692,230,998,015,264,956,886,463,796,616,424,630,493,693,871,022,629,595,392,
511,855,773,543,599,390,430,160,270,455,999,351,018,419,667,263,731,239,471,
265,413,471,422,582,634,891,663,774,303,912,019,893,329,589,042,113,631,690,
807,970,156,940,816,750,744,206,524,346,068,089,953,805,655,908,998,648,928,
164,546,440,646,345,803,430,308,298,135,784,051,411,001,032,896,627,985,349,
136,373,599,737,563,925,553,107,131,800,490,889,454,070,223,161,894,012,902,
007,269,620,684,177,762,374,772,929,526,488,804,514,142,505,765,065,863,392,
142,612,813,308,531,416,644,363,817,532,985,187,019,165,462,865,574,936,304,
936,569,416,871,362,982,011,550,951,784,183,652,085,641,258,942,969,554,227,
015,824,315,513,811,245,075,354,258,493,509,057,776,392,694,139,655,722,997,
509,196,428,051,536,371,731,460,322,502,376,580,044,310,293,843,490,898,600,
951,485,898,659,102,242,041,069,236,653,213,287,181,081,240,542,096,186,814,
368,407,586,244,606,197,174,734,759,915,534,641,306,342,659,237,094,547,678,
720,657,768,179,108,860,403,001,008,025,985,895,988,461,558,520,193,374,142,
868,203,875,998,488,782,018,802,546,718,398,828,221,744,684,764,844,054,879,
550,768,817,470,659,934,339,294,153,579,522,105,362,786,434,480,665,064,555,
250,040,213,448,095,183,659,124,330,187,441,028,085,872,276,410,319,190,468,
937,079,223,766,482,439,270,306,799,928,880,619,273,565,905,611,808,424,212,
475,339,387,059,374,302,892,468,535,836,344,471,590,426,868,130,115,006,654,
601,981,758,437,345,901,465,912,860,029,873,608,458,987,541,195,349,852,349,
600,434,619,343,083,640,177,675,231,380,541,184,368,254,656,424,813,698,875,
755,780,131,576,535,745,592,457,976,710,923,321,096,604,312,404,106,157,358,
631,843,846,918,169,390,393,551,279,291,847,784,222,036,192,422,036,389,576,
589,487,643,080,654,549,432,054,325,939,394,672,773,608,321,993,880,939,262,
659,964,138,934,917,960,840,772,829,759,187,714,018,474,742,872,288,493,387,
568,803,444,349,998,245,858,956,806,698,219,263,991,135,339,394,731,464,881,
691,231,400,376,361,709,006,538,493,463,251,091,621,510,449,448,924,345,816,
989,082,215,926,474,917,120,509,446,509,163,762,863,694,666,917,069,367,249,
818,408,516,564,813,261,569,212,708,214,307,703,797,957,964,858,072,330,898,
508,286,399,393,436,136,067,210,376,658,594,288,818,692,550,413,713,879,779,
621,617,053,915,640,951,765,124,034,226,006,259,102,404,038,126,316,454,926,
603,644,741,524,462,699,923,847,583,378,643,364,951,618,455,758,854,719,564,
212,310,663,857,405,658,383,452,046,760,126,821,602,747,431,530,948,855,937,
300,504,732,281,268,137,716,722,301,604,583,750,838,008,970,944,002,326,909,
714,467,651,580,296,974,103,678,896,635,308,289,910,817,877,626,957,095,912,
304,662,618,776,799,573,880,439,825,881,038,261,998,921,539,878,461,003,736,
876,286,489,205,666,924,689,020,143,497,264,520,192,010,345,822,788,605,260,
512,260,114,049,208,812,628,391,228,667,678,174,086,734,153,147,708,890,652,
068,690,823,759,399,396,919,106,891,422,429,795,367,234,222,291,066,522,167,
257,084,051,027,260,911,672,477,646,990,522,584,219,782,194,318,297,825,171,
952,262,558,460,003,692,628,543,960,258,417,714,491,861,906,364,010,334,417,
939,270,781,532,133,227,574,792,429,580,719,489,294,203,943,966,330,301,183,
133,125,068,674,844,206,001,483,172,715,499,981,842,460,776,917,094,807,771,
639,816,297,546,912,321,791,172,071,600,269,548,202,990,745,918,649,194,255,
815,706,471,308,069,891,277,940,527,495,772,197,121,694,985,454,966,687,053,
790,646,786,214,256,224,951,232,402,369,064,822,577,655,448,993,053,086,760,
111,859,575,446,999,772,554,292,707,979,883,973,080,677,710,780,915,818,889,
026,445,941,163,341,159,956,466,837,668,550,191,523,025,476,740,684,082,741,
520,521,390,023,099,056,349,195,364,105,819,066,941,035,215,500,250,310,827,
982,081,403,574,890,560,143,315,038,612,889,642,565,488,269,723,439,925,004,
262,587,902,260,315,270,325,561,053,655,642,451,021,246,612,479,281,626,147,
180,892,582,968,824,180,187,908,699,635,290,761,020,651,506,931,812,683,982,
882,991,838,917,986,057,998,062,481,185,429,463,461,834,179,726,485,404,058,
184,127,339,795,470,252,591,800,974,090,447,272,633,022,264,523,647,508,740,
991,103,863,634,895,225,694,131,602,884,448,508,492,167,322,944,259,341,244,
616,474,886,395,941,616,852,639,228,490,285,320,624,259,592,612,915,963,527,
442,040,534,198,594,722,450,049,967,059,956,318,588,063,532,807,109,312,398,
686,231,181,460,187,917,793,249,824,071,457,387,998,036,698,762,301,397,195,
745,362,705,760,790,842,275,012,423,682,288,973,394,870,488,379,569,052,159,
695,633,233,146,988,431,902,132,408,066,821,225,021,242,294,433,156,488,041,
786,480,824,546,498,566,451,915,997,564,588,480,613,537,390,864,287,896,695,
188,116,065,248,044,615,600,231,344,488,016,466,248,471,897,734,792,389,701,
456,430,256,409,599,136,548,305,592,523,594,498,455,508,586,930,102,692,997,
318,145,663,272,757,198,086,591,094,878,460,229,489,085,366,585,140,590,877,
724,934,644,959,479,920,706,094,269,586,856,300,823,420,642,695,446,246,886,
504,126,353,522,638,532,703,346,301,842,080,827,046,045,767,406,768,251,761,
656,442,763,317,206,721,828,645,204,367,435,735,022,463,190,483,962,451,317,
287,410,553,631,563,034,846,268,712,542,034,800,370,200,186,798,954,224,508,
135,469,925,628,989,710,876,952,166,044,661,988,568,046,119,591,044,310,544,
517,350,685,765,447,977,397,968,403,753,745,326,104,366,634,412,827,178,789,
196,303,343,881,617,371,652,027,385,901,032,401,010,652,795,645,679,494,677,
197,549,894,205,486,612,543,889,138,092,826,837,599,990,199,400,751,036,094,
329,116,655,272,768,599,258,301,348,978,984,465,547,508,168,466,121,877,745,
164,132,563,248,687,203,082,934,405,055,539,542,898,795,140,527,155,820,530,
588,324,830,581,452,537,630,463,317,689,023,885,227,108,261,287,755,094,745,
748,259,961,272,595,527,054,171,757,275,020,654,258,608,345,270,489,106,048,
988,964,612,082,726,548,875,897,277,007,643,724,022,098,196,455,939,828,205,
848,780,096,231,024,124,236,140,333,928,967,989,875,139,260,586,880,214,498,
909,804,334,455,046,484,177,602,428,253,407,574,385,724,530,730,821,906,096,
424,126,225,758,499,375,362,120,661,496,002,575,470,495,615,589,077,415,079,
658,461,592,194,547,104,881,319,852,542,167,820,736,433,663,544,906,494,008,
332,471,441,129,776,523,809,541,530,659,069,464,901,337,118,355,001,335,590,
617,558,972,228,138,874,438,787,049,815,642,145,219,151,890,851,253,473,044,
722,714,824,827,058,941,249,215,772,706,876,302,100,636,000,726,995,237,433,
422,339,620,757,228,690,170,108,456,269,310,699,485,492,561,650,647,188,057,
169,294,123,352,095,494,712,113,599,708,183,604,481,675,832,367,385,255,611,
578,835,179,789,151,908,515,882,414,859,683,899,226,321,470,221,730,119,030,
383,669,142,222,383,067,506,560,285,722,691,166,330,678,556,528,587,830,404,
298,732,415,824,289,066,417,200,706,519,536,820,681,014,973,414,486,816,289,
836,972,861,253,839,992,606,281,559,670,029,076,082,570,581,015,246,295,679,
561,201,693,438,240,637,507,181,178,985,961,249,421,060,593,081,878,567,830,
772,258,622,956,957,569,119,823,900,391,675,159,169,315,063,219,425,470,433,
515,980,401,487,663,968,183,771,241,322,250,531,361,228,194,543,171,980,792,
845,312,542,863,724,322,332,423,630,948,707,545,938,715,851,203,623,140,577,
387,370,324,904,735,235,412,250,745,360,173,219,630,664,495,432,562,938,890,
243,982,556,613,008,777,273,398,470,492,678,122,838,724,430,573,542,566,487,
752,986,866,309,590,141,689,643,032,275,476,402,475,045,431,063,092,344,062,
226,734,606,288,890,878,833,853,530,100,444,260,289,002,698,223,020,411,136,
124,480,962,361,030,247,466,404,069,161,775,346,457,122,431,781,470,985,309,
715,340,692,002,673,972,615,246,194,805,119,388,754,357,805,599,582,023,471,
388,184,853,790,264,956,702,591,420,721,962,097,205,188,878,293,871,312,224,
110,338,117,481,055,074,150,138,383,524,075,217,975,358,613,177,767,715,294,
186,951,819,866,073,058,087,705,950,394,470,387,510,964,042,300,081,308,896,
208,505,336,469,366,567,209,598,368,951,725,392,967,179,394,824,423,186,779,
822,380,288,620,650,237,482,350,534,445,217,364,792,650,115,433,075,642,648,
810,429,969,918,181,737,226,319,462,158,066,476,040,727,307,341,967,379,380,
762,102,610,974,178,934,601,062,685,423,779,581,799,588,545,048,182,662,013,
659,379,304,981,516,939,578,453,711,097,687,503,085,408,446,026,059,306,939,
448,771,824,902,506,870,259,414,695,849,460,641,790,485,353,916,024,414,683,
201,153,816,698,593,316,266,659,292,065,836,759,296,074,411,344,903,936,010,
759,028,629,655,750,328,867,626,905,138,771,615,579,202,831,352,008,046,816,
180,511,796,537,088,108,050,887,553,378,948,600,438,628,577,601,911,464,488,
112,825,784,482,224,610,275,068,955,611,021,750,841,121,643,587,129,464,930,
226,368,040,359,411,242,187,678,229,757,596,128,658,979,095,675,813,335,768,
125,559,491,500,987,800,773,771,274,962,069,313,188,193,405,586,128,994,529,
200,229,450,272,277,562,526,815,446,565,570,801,124,964,467,743,421,063,532,
648,469,359,706,127,165,965,595,991,847,806,520,354,624,092,934,248,829,864,
538,144,786,392,505,847,344,672,523,853,266,495,156,664,477,506,540,396,520,
579,778,757,930,221,603,275,189,778,473,882,878,170,373,763,121,759,526,805,
000,906,847,576,356,142,397,787,686,763,418,542,530,855,400,268,812,663,988,
819,867,633,346,065,676,944,251,083,609,228,266,156,049,027,436,243,759,102,
009,548,820,585,500,126,509,099,673,086,859,505,996,803,892,710,924,162,220,
622,235,154,784,760,745,674,199,153,197,303,042,324,007,856,021,484,908,469,
297,109,103,858,656,710,306,157,862,345,933,002,788,407,930,439,177,416,156,
807,689,356,089,830,069,479,552,777,443,281,773,882,060,703,889,857,918,765,
459,707,642,070,674,551,349,984,771,908,999,460,640,383,439,338,619,145,152,
174,392,764,692,253,823,481,583,937,427,694,100,772,466,493,694,951,168,549,
012,685,675,323,820,463,412,940,250,520,187,050,308,191,561,677,092,635,773,
415,560,991,895,866,220,137,091,812,104,569,952,193,157,492,056,404,965,439,
366,331,765,438,329,285,206,421,375,252,066,709,990,432,914,414,145,563,000,
602,147,276,409,167,688,550,956,963,810,647,466,991,570,302,655,608,017,866,
404,607,806,139,668,893,638,518,256,054,200,133,014,456,286,481,208,354,925,
470,814,877,116,681,617,275,010,199,493,204,607,163,441,337,340,081,797,740,
073,122,087,739,790,451,039,981,958,518,991,343,066,735,449,634,590,193,456,
888,374,807,980,613,513,889,424,383,548,475,263,817,596,256,091,593,353,259,
996,257,754,870,904,287,565,238,422,711,568,932,354,906,221,804,400,248,674,
703,161,256,469,471,465,418,844,524,365,644,313,050,313,915,465,324,172,296,
012,053,649,686,901,491,187,227,030,588,412,412,686,658,450,386,773,708,937,
169,956,077,023,530,505,145,412,378,065,862,079,187,604,213,903,501,013,806,
260,397,541,422,614,354,830,986,230,902,072,433,725,900,772,920,632,625,726,
553,497,756,517,219,343,029,917,447,455,647,227,999,749,206,978,766,300,983,
330,886,314,752,326,556,798,258,769,585,456,839,063,171,710,374,986,435,834,
974,344,219,466,476,886,372,964,841,334,506,284,071,939,483,084,312,252,859,
471,920,116,852,676,260,058,381,937,110,267,150,541,225,121,802,764,970,323,
904,125,642,121,860,155,700,966,844,248,115,307,101,031,214,276,888,227,985,
203,919,021,233,150,634,739,194,443,142,582,098,577,943,077,370,746,932,272,
677,912,620,533,944,912,681,324,799,398,050,994,920,643,284,286,182,714,225,
130,530,389,877,218,129,721,780,895,323,249,592,054,971,158,721,762,954,208,
738,460,088,726,210,662,142,404,233,345,856,287,534,938,422,409,001,674,725,
740,439,053,623,571,574,009,258,768,180,428,992,457,112,048,925,099,013,383,
562,124,846,073,207,604,354,196,838,652,330,184,414,016,869,750,607,488,709,
889,575,654,305,981,173,271,343,774,523,179,406,908,692,819,768,793,345,446,
493,190,727,360,140,248,602,853,134,664,824,487,909,063,784,412,277,346,589,
821,072,390,844,996,117,172,322,949,609,841,193,614,967,259,026,497,748,020,
950,921,374,810,544,918,920,541,585,561,201,075,671,096,071,957,595,114,974,
220,372,123,249,225,471,052,264,647,963,473,457,780,776,542,228,008,531,177,
699,773,646,154,171,617,435,718,261,162,133,384,761,493,841,580,269,252,446,
260,805,539,619,459,236,839,593,271,611,946,009,746,239,886,806,119,354,991,
829,013,785,063,363,667,200,039,363,230,564,895,225,778,062,884,477,241,740,
637,940,086,648,404,901,704,514,447,497,509,640,287,258,235,742,010,495,371,
856,272,302,483,534,212,545,435,199,699,238,799,718,016,853,695,366,100,513,
213,298,365,001,184,401,667,511,050,521,799,262,659,554,449,515,700,611,035,
456,660,551,234,255,214,195,838,435,108,762,648,284,890,317,008,651,612,712,
616,801,851,455,638,505,497,120,651,135,151,724,639,798,262,460,057,123,823,
740,413,969,976,737,232,852,848,766,993,270,764,907,373,285,238,524,042,476,
368,292,698,190,459,049,054,809,631,129,868,094,830,596,311,639,586,598,819,
999,377,817,367,837,322,774,772,293,110,951,865,733,846,412,550,296,817,025,
266,183,248,192,930,094,903,639,298,521,390,264,209,600,847,498,449,625,089,
602,478,692,257,742,709,305,041,890,410,106,321,570,760,587,503,128,464,282,
020,212,950,135,743,733,327,278,363,726,665,106,896,853,046,312,161,143,608,
307,634,287,644,342,187,293,971,967,037,323,871,066,525,983,414,802,204,597,
509,373,014,830,054,755,857,116,300,820,351,857,150,152,162,313,835,832,472,
901,847,301,046,881,987,816,065,814,736,694,283,400,329,989,092,311,300,403,
163,189,682,493,121,005,504,345,922,328,404,605,541,859,547,343,627,008,892,
405,430,016,502,487,108,727,035,435,808,155,196,708,395,204,064,136,430,799,
689,175,372,262,581,016,827,594,831,799,517,812,996,568,527,316,164,287,335,
617,390,099,714,235,683,405,916,792,159,440,328,803,804,253,896,824,542,243,
819,945,391,212,585,094,965,895,730,859,294,612,753,480,606,657,869,242,409,
401,676,694,434,517,847,148,172,670,809,555,027,417,330,461,404,189,654,132,
882,641,848,269,533,196,405,409,550,768,130,359,491,998,974,916,809,440,276,
286,247,120,732,453,630,374,342,271,007,245,847,683,758,845,184,342,346,983,
068,029,240,743,538,184,151,308,856,964,100,766,894,768,253,706,927,433,283,
740,737,918,604,778,902,442,701,495,709,749,966,199,908,588,319,209,973,658,
556,781,100,541,292,735,147,247,955,417,942,925,354,179,855,002,478,041,049,
765,670,923,751,664,203,169,134,317,020,168,135,564,906,843,564,926,330,740,
531,193,665,859,522,648,208,864,531,446,752,130,423,004,297,466,877,195,207,
549,928,436,288,991,655,783,977,169,938,149,708,189,547,135,577,576,188,805,
762,163,437,786,667,058,462,407,581,653,221,618,461,046,721,080,246,570,527,
742,186,393,494,872,399,719,520,172,113,013,285,827,797,055,675,138,556,340,
181,601,186,256,933,948,046,559,762,956,385,954,118,594,169,367,650,229,104,
348,139,104,432,888,664,044,762,693,623,842,360,618,780,279,250,404,159,117,
117,830,003,722,021,781,974,297,034,800,684,533,978,585,721,056,122,350,664,
542,458,029,652,162,239,592,575,642,720,598,107,353,619,224,470,404,927,532,
433,104,128,111,112,404,556,950,460,242,465,381,081,976,294,244,292,110,739,
148,940,857,722,743,469,884,411,449,334,553,151,729,358,638,092,621,640,395,
374,038,218,929,680,765,566,430,027,746,297,206,314,233,613,669,271,925,613,
143,830,044,882,677,018,309,951,752,357,249,605,779,860,586,182,146,911,603,
397,572,976,717,198,621,901,286,883,492,051,041,708,432,630,337,079,580,851,
189,144,688,304,826,048,192,498,167,045,543,587,191,755,458,858,921,023,181,
391,515,170,626,224,871,078,032,886,170,319,679,939,392,794,667,134,367,040,
819,466,560,734,907,867,839,467,831,573,195,129,235,499,445,983,056,359,227,
610,969,986,296,895,091,446,929,772,560,409,835,326,382,903,074,418,690,671,
254,282,913,616,604,209,601,421,555,721,198,350,619,939,110,737,205,116,756,
063,158,529,020,435,037,859,051,676,412,245,371,394,261,147,639,065,538,994,
003,234,523,281,043,711,192,834,731,394,440,519,662,316,077,388,052,759,498,
706,889,020,217,832,329,966,269,447,595,752,811,405,298,349,041,992,711,014,
343,226,951,584,108,412,049,360,762,791,180,888,944,123,291,768,370,493,387,
111,261,042,458,836,491,882,082,041,508,843,444,443,567,810,767,438,517,876,
351,760,476,582,620,746,184,146,992,668,537,854,767,551,721,771,151,510,483,
042,479,118,343,225,233,914,438,597,088,453,143,191,677,269,459,514,170,271,
435,413,503,416,882,690,976,721,100,469,808,232,898,949,573,416,208,432,955,
658,298,610,897,577,137,438,335,899,486,557,078,535,804,618,758,720,835,559,
850,112,367,926,095,066,009,874,738,631,934,610,993,437,505,163,409,190,645,
849,851,526,274,226,644,663,303,712,384,987,386,306,364,658,978,144,348,869,
218,173,836,638,244,088,782,750,558,551,412,606,883,870,495,499,306,125,016,
817,515,857,122,355,873,086,316,797,793,722,324,377,352,599,051,533,948,876,
933,796,422,794,226,610,449,856,777,024,216,774,989,658,707,957,420,751,220,
010,094,958,562,154,137,892,040,376,867,524,861,763,720,670,155,583,881,878,
018,071,715,011,642,822,827,293,020,931,011,380,290,177,153,658,211,415,019,
789,852,212,353,249,697,805,002,598,753,659,825,551,109,462,996,457,604,037,
517,298,809,661,914,707,486,033,812,484,991,214,565,637,805,135,752,874,450,
189,380,963,816,830,174,347,096,273,300,649,448,014,604,373,020,142,336,114,
596,484,385,310,139,141,884,115,127,326,274,779,501,672,164,275,870,558,648,
145,076,478,606,323,874,133,949,999,981,636,544,475,950,217,059,969,297,662,
140,256,721,293,151,460,176,280,221,449,050,344,614,329,671,300,966,711,668,
701,270,170,436,795,813,367,293,122,495,811,636,363,528,592,279,232,123,146,
725,540,240,199,573,096,847,260,908,337,777,771,843,424,350,085,354,151,775,
207,466,368,841,589,902,430,052,007,029,170,513,820,620,640,015,666,336,369,
303,504,952,177,430,319,903,480,118,914,423,417,156,183,794,770,516,290,276,
686,925,976,254,800,476,212,887,094,454,593,504,348,298,250,696,428,329,235,
901,149,169,521,934,079,279,654,203,683,883,717,544,187,513,462,371,184,171,
556,328,746,998,232,212,135,371,390,667,575,458,113,358,415,311,517,938,863,
618,325,288,220,873,162,941,279,027,626,291,748,423,665,086,925,731,329,637,
279,351,929,223,084,548,249,121,829,499,718,929,434,273,298,728,641,294,200,
133,558,452,107,396,481,691,409,132,627,674,344,296,201,783,423,795,711,837,
993,132,029,568,089,926,331,826,174,792,657,301,679,395,670,088,202,062,623,
243,481,426,239,209,094,289,633,168,684,432,276,206,997,158,641,900,067,217,
721,912,613,455,140,916,125,183,736,833,178,546,618,384,702,230,290,770,924,
438,670,113,907,929,499,274,409,270,713,814,579,437,141,476,012,613,937,143,
443,100,752,566,743,482,000,416,201,781,282,145,748,153,491,209,878,070,623,
579,571,474,711,588,708,068,664,596,681,442,770,613,652,111,391,117,605,922,
744,129,837,005,317,102,150,830,589,147,140,699,398,041,395,422,753,129,370,
668,702,834,563,895,198,837,546,711,284,452,417,225,297,870,381,539,469,981,
880,394,017,260,613,586,445,844,832,545,922,942,959,979,245,795,709,514,906,
463,317,160,919,678,753,153,069,901,236,452,212,433,325,251,341,813,937,331,
608,881,202,243,590,722,258,478,741,398,884,801,721,984,827,029,772,548,666,
238,138,479,739,721,266,496,648,202,547,036,366,098,596,872,795,860,726,794,
922,018,667,775,133,104,944,963,769,283,594,874,652,486,050,405,969,689,629,
326,141,411,563,406,796,880,424,588,433,951,728,182,095,431,024,877,511,870,
657,456,225,879,823,921,376,273,573,209,976,172,920,037,558,961,854,851,086,
508,132,436,168,405,130,316,343,194,199,895,696,096,787,980,398,703,352,019,
574,275,276,213,577,473,772,756,923,126,776,688,007,410,698,434,745,241,711,
051,180,933,858,978,357,232,077,239,064,176,566,521,999,949,148,982,017,696,
707,191,030,778,342,501,546,225,012,937,397,682,152,475,653,953,109,300,553,
277,336,617,582,958,516,488,032,376,870,126,228,706,838,975,568,583,087,898,
282,381,942,645,998,475,797,265,492,669,700,775,039,407,240,231,985,888,235,
702,092,672,031,585,321,145,998,599,836,889,262,856,315,282,271,147,080,770,
385,093,294,694,560,241,114,780,120,862,088,543,173,829,855,111,875,843,656,
374,337,394,130,913,740,973,721,740,448,106,151,650,667,864,128,229,828,127,
212,607,055,213,648,970,882,980,841,811,086,752,733,358,033,772,248,759,787,
468,207,101,993,460,893,472,784,712,482,209,112,608,520,650,750,524,828,330,
212,208,740,197,724,869,571,899,553,301,775,719,382,692,001,290,907,173,178,
462,079,271,047,104,688,618,120,450,197,079,647,865,882,144,346,165,827,127,
640,707,172,145,866,227,778,457,989,825,536,255,025,660,309,569,147,764,845,
186,682,434,614,465,685,154,983,997,843,745,819,803,981,751,881,238,434,375,
105,597,418,569,437,388,798,628,814,496,242,223,443,792,995,208,486,432,407,
786,987,104,627,094,624,195,274,901,467,968,987,515,107,364,933,147,409,990,
925,614,977,362,649,048,084,211,766,784,076,425,038,318,500,597,701,867,183,
133,548,001,848,353,955,121,727,713,514,948,884,178,865,442,187,844,800,145,
395,099,948,060,299,001,719,968,888,708,944,069,043,258,354,673,806,806,944,
636,046,552,308,413,045,717,649,848,019,442,935,502,499,818,282,593,824,400,
059,442,801,318,544,610,620,282,762,096,064,527,717,765,267,622,590,185,615,
679,948,559,769,604,460,666,087,393,975,433,793,995,053,529,722,250,714,680,
811,246,755,643,711,630,802,207,992,469,496,442,489,741,046,250,719,386,486,
467,965,556,254,188,390,381,925,427,913,475,161,001,771,724,430,040,502,304,
642,398,751,306,401,170,470,554,412,610,364,564,667,371,412,906,202,719,649,
553,979,744,255,486,424,367,707,734,681,049,071,845,342,962,776,844,811,786,
792,632,629,338,369,770,481,063,487,993,945,603,901,214,249,819,869,507,024,
810,160,872,874,164,737,595,391,355,501,677,745,277,142,454,808,726,870,800,
974,557,171,832,434,558,886,388,052,046,617,226,647,492,250,935,586,101,101,
724,366,192,447,296,813,239,911,777,465,329,252,043,879,693,013,031,249,272,
958,421,973,654,479,038,255,663,687,793,481,513,979,854,238,005,155,442,405,
445,455,598,635,785,453,978,317,603,297,776,469,062,297,216,706,052,547,407,
345,962,279,615,422,365,993,001,625,575,558,295,324,281,074,425,862,801,255,
700,247,823,786,464,756,489,948,223,405,942,985,913,167,968,379,995,983,527,
121,654,191,623,730,848,847,904,114,174,381,859,961,902,690,109,235,552,191,
225,137,738,404,595,703,773,920,198,643,178,454,191,821,678,500,162,182,355,
707,327,155,418,830,589,663,003,949,643,176,887,470,832,964,588,756,175,156,
627,922,526,490,660,240,250,372,556,755,515,233,898,066,746,246,870,801,018,
695,510,507,934,624,706,861,531,244,227,191,802,820,899,383,611,445,941,237,
468,761,974,996,557,137,231,065,154,534,233,860,878,176,614,014,515,827,581,
089,511,921,553,354,141,993,969,373,618,879,220,788,559,784,713,688,747,180,
499,279,024,839,466,147,909,218,631,498,294,155,946,925,608,801,941,577,678,
043,943,004,618,690,627,444,391,356,287,216,177,536,410,228,403,896,588,607,
863,380,513,979,866,583,982,434,827,972,247,040,001,755,448,921,289,944,657,
879,605,594,493,248,248,519,281,632,441,388,074,486,948,687,918,533,143,853,
642,692,263,693,357,781,635,733,194,802,514,566,164,152,804,720,940,410,168,
338,108,513,100,580,315,026,153,337,303,161,662,125,653,647,869,523,484,685,
037,653,385,015,012,354,947,700,434,369,787,275,991,968,377,123,323,634,398,
909,561,192,841,108,096,634,289,885,024,030,749,204,249,968,233,100,140,668,
264,253,825,333,520,914,442,574,423,419,432,357,309,186,016,099,134,365,326,
330,015,058,743,177,333,892,745,082,082,958,754,840,291,742,305,211,602,933,
901,514,650,178,333,659,387,268,244,850,925,392,277,772,071,648,667,119,509,
980,405,819,307,933,543,338,462,697,602,538,774,737,393,663,261,219,688,092,
617,900,408,106,546,514,051,819,977,344,930,144,881,846,667,703,569,732,843,
832,388,704,873,175,611,354,968,814,107,354,399,068,034,309,021,707,613,546,
368,634,096,432,470,420,081,042,597,316,515,872,183,156,236,404,408,439,634,
323,060,405,262,821,170,204,807,619,429,645,877,786,240,932,355,951,221,025,
793,589,268,553,708,995,602,701,593,727,127,498,873,756,577,725,177,852,956,
987,801,037,375,940,965,432,173,849,455,639,777,850,079,428,743,379,843,869,
842,658,814,652,160,130,292,551,163,566,339,074,580,330,157,212,262,919,291,
076,428,445,564,099,725,484,288,042,228,788,274,889,371,780,896,069,413,970,
333,249,464,302,033,181,055,951,510,971,605,123,634,488,246,209,482,319,856,
020,570,512,727,916,867,829,565,314,328,264,444,334,149,924,718,426,271,866,
833,592,268,142,740,851,960,559,089,344,454,371,060,262,029,070,932,493,924,
457,637,225,912,446,962,539,134,962,191,512,660,264,209,142,143,282,171,273,
997,262,452,790,668,167,526,654,250,045,723,052,145,765,010,457,988,872,782,
699,383,420,938,242,059,145,615,378,633,179,721,239,990,389,000,433,182,825,
622,790,813,685,879,867,918,024,858,112,224,386,429,645,343,199,960,564,450,
533,204,564,258,922,996,367,381,911,131,679,741,776,290,166,877,813,428,358,
421,362,641,749,199,442,263,485,102,454,490,977,861,918,241,402,127,142,780,
833,267,168,029,454,182,169,672,415,398,903,456,945,890,519,914,163,474,767,
527,443,034,783,354,850,100,342,632,125,476,092,169,485,371,729,860,503,646,
247,771,990,266,407,288,075,034,882,084,794,469,892,157,760,334,833,240,017,
120,275,138,017,682,741,132,641,657,450,831,919,554,689,878,589,390,602,624,
867,819,070,827,938,125,283,430,633,636,668,672,271,888,326,835,179,387,338,
470,235,908,635,850,603,931,799,735,548,303,807,438,070,557,740,172,683,825,
000,283,419,619,330,558,254,814,253,156,856,267,461,062,040,229,833,757,944,
912,482,961,001,542,426,214,124,642,533,795,142,793,170,120,485,184,519,643,
299,298,238,142,495,505,931,428,343,428,190,045,513,878,584,267,546,035,729,
487,087,892,668,739,835,493,291,399,280,121,333,644,342,058,854,670,402,776,
348,871,320,405,491,096,133,746,181,451,901,137,590,146,713,176,548,361,948,
052,367,982,717,078,908,972,795,141,027,615,183,367,250,951,166,737,126,565,
556,372,937,115,249,726,662,907,572,878,274,929,572,157,601,466,342,611,623,
749,506,709,264,495,823,913,785,473,788,802,442,974,364,362,580,102,439,458,
942,736,140,687,385,754,989,106,944,960,278,099,862,797,336,271,565,276,481,
335,524,463,292,816,036,301,037,540,840,545,002,234,060,125,308,444,101,543,
267,561,559,101,501,770,929,278,493,169,171,070,189,316,786,039,833,860,368,
267,540,205,827,234,163,838,711,621,854,274,232,889,928,383,066,414,769,035,
114,579,530,006,292,166,725,582,657,451,656,381,809,503,108,773,200,481,532,
396,204,777,643,455,219,027,399,505,354,061,192,551,064,579,601,584,760,953,
068,059,763,803,316,013,280,123,421,190,418,891,891,422,075,150,413,379,038,
639,990,547,567,426,715,543,480,326,352,835,373,544,377,387,818,611,610,189,
420,996,171,674,589,492,474,339,068,472,505,750,544,981,313,657,061,735,984,
453,489,330,212,845,021,706,661,188,051,242,527,871,193,905,741,596,352,238,
126,394,483,899,551,808,288,227,056,718,443,506,500,529,257,560,135,177,157,
894,392,713,118,746,497,918,973,256,664,429,516,345,600,108,573,829,987,452,
598,862,647,748,112,062,104,714,091,569,528,548,061,247,440,717,215,477,091,
146,628,510,995,687,612,825,099,564,112,331,274,096,451,276,929,998,210,445,
010,825,184,307,161,367,355,955,314,779,397,549,669,607,189,577,505,906,513,
791,193,182,180,438,370,999,533,911,322,321,260,355,540,246,903,673,251,063,
046,738,369,214,969,418,446,478,673,657,134,963,442,440,077,482,608,213,810,
038,494,546,023,775,730,460,319,175,962,338,797,823,290,694,053,353,774,630,
000,342,742,946,974,393,182,096,138,573,075,069,874,597,909,528,367,652,924,
521,159,066,434,309,089,689,776,061,920,551,707,589,536,210,481,841,907,191,
796,264,029,316,637,524,683,586,370,623,833,297,040,268,155,403,433,388,807,
036,044,542,322,798,022,655,694,200,852,820,895,270,649,459,572,299,418,295,
273,651,799,102,639,064,112,073,369,440,603,055,265,255,499,156,736,862,326,
874,724,893,628,747,813,914,325,619,349,292,684,731,845,396,101,346,641,848,
282,535,292,443,514,326,829,727,515,278,841,943,438,972,519,759,999,371,939,
951,810,274,395,224,226,453,867,129,025,317,716,965,055,473,548,134,207,935,
040,699,079,887,662,695,864,193,825,287,215,576,191,575,223,239,243,751,954,
753,823,347,358,779,450,850,507,267,161,742,992,768,427,588,003,780,869,892,
293,571,547,156,943,156,616,571,830,441,959,286,091,086,458,064,497,998,524,
134,781,009,760,919,347,815,863,709,541,192,322,999,917,404,175,000,609,906,
714,439,563,784,847,289,535,547,385,829,479,938,766,358,954,524,413,877,114,
007,149,642,228,774,972,317,048,715,585,221,819,937,938,393,787,024,321,028,
089,184,211,786,148,766,360,565,279,705,282,927,697,598,906,438,750,910,095,
888,900,768,110,873,807,675,723,120,821,192,542,524,004,580,437,194,717,186,
975,569,108,628,349,820,953,500,429,227,991,009,952,133,639,300,916,399,515,
085,887,486,528,544,414,510,849,586,016,838,554,994,636,263,007,696,658,400,
819,468,015,457,157,256,089,895,188,780,984,884,493,223,651,673,916,132,622,
967,305,313,046,754,649,091,061,994,121,436,176,661,602,337,096,584,455,302,
515,936,367,496,592,174,992,384,595,570,152,090,782,036,579,422,973,673,646,
775,911,099,987,095,485,035,257,920,547,852,264,326,139,921,718,882,194,108,
133,955,374,883,824,374,307,180,934,066,271,190,630,417,484,396,097,637,164,
210,201,516,196,616,311,442,965,201,483,719,370,391,480,883,272,835,624,417,
710,325,920,184,976,752,397,103,775,119,195,127,093,235,742,857,458,513,736,
547,100,924,206,268,166,647,914,849,101,591,488,970,721,495,012,749,812,634,
986,154,784,466,217,285,697,922,789,430,046,528,535,566,117,227,312,198,468,
436,221,197,840,167,443,575,911,292,432,357,517,224,655,823,245,734,297,957,
934,340,106,902,372,485,189,306,768,012,303,942,964,755,128,640,099,267,698,
897,510,641,553,072,423,410,870,942,879,519,353,768,065,192,659,032,726,879,
905,570,026,930,294,584,504,374,728,978,076,892,295,745,909,877,490,383,184,
912,181,782,167,466,812,396,161,406,890,003,995,902,356,157,087,829,048,312,
392,459,668,003,259,785,030,449,880,276,694,368,171,844,447,469,287,458,616,
233,021,606,576,928,880,998,082,317,889,768,686,308,040,485,172,651,604,832,
322,604,408,042,719,823,099,780,145,959,461,648,556,616,240,801,577,840,077,
394,404,375,054,327,219,443,749,947,652,880,381,990,044,957,805,547,526,806,
619,575,999,938,114,448,538,050,499,093,698,889,156,808,047,705,572,936,325,
419,672,998,202,112,400,429,213,748,679,659,996,076,016,832,123,520,033,185,
789,733,191,747,073,282,704,183,379,916,108,220,218,906,425,138,421,636,853,
216,989,323,560,120,902,466,257,927,444,892,064,229,281,526,682,487,396,056,
382,440,645,584,473,594,905,401,619,301,970,598,352,468,884,650,942,690,999,
483,445,684,561,040,640,473,887,849,147,416,705,541,815,315,612,396,806,023,
842,658,801,965,174,170,553,991,256,785,770,065,229,030,500,957,268,028,757,
483,564,681,680,494,777,474,231,600,603,057,565,766,112,406,590,517,485,672,
191,450,431,072,325,329,713,296,033,616,046,314,961,322,234,033,985,429,526,
255,408,665,010,959,930,793,475,431,893,821,344,426,128,188,830,545,913,521,
765,545,980,410,860,590,781,554,105,564,668,329,759,673,272,186,786,202,615,
122,428,961,511,593,690,916,978,738,828,454,341,932,961,225,200,204,607,001,
451,086,019,646,946,762,138,685,382,449,669,099,627,948,946,903,595,449,932,
456,502,484,520,265,028,975,352,127,953,550,774,563,965,597,759,881,602,931,
125,853,447,750,707,162,891,651,714,766,819,058,112,372,048,699,859,550,127,
902,708,941,243,744,669,640,981,028,355,544,364,040,802,407,938,133,696,953,
641,701,205,251,333,923,499,508,734,039,452,677,929,407,949,018,022,963,407,
425,206,508,948,597,409,772,104,788,322,518,577,859,551,923,680,304,263,013,
675,746,034,924,447,545,522,887,553,901,284,736,235,803,557,033,294,334,395,
992,129,895,599,785,567,910,309,398,691,990,692,235,337,820,803,389,031,273,
406,698,856,192,831,997,721,132,029,631,373,411,712,607,441,720,464,923,862,
778,441,850,760,203,032,014,188,897,428,291,031,823,195,940,550,374,130,335,
764,381,417,407,396,719,131,675,513,266,936,716,102,359,258,994,064,222,686,
082,195,999,986,622,796,663,390,333,389,224,755,262,871,414,041,788,385,514,
746,424,032,431,087,057,790,421,629,667,667,195,131,163,159,863,213,300,944,
913,499,096,702,338,999,641,778,284,528,157,208,023,708,268,683,425,443,152,
710,643,305,659,779,316,620,296,085,993,627,572,047,180,727,137,414,555,446,
013,519,163,168,656,495,736,943,177,396,804,129,106,474,129,546,530,750,552,
036,735,886,088,107,832,549,501,111,785,392,464,406,296,569,560,442,740,769,
938,232,387,733,083,671,366,676,184,407,054,433,900,240,556,210,548,168,862,
185,282,835,795,979,498,663,413,213,616,594,352,972,686,589,780,004,930,923,
772,438,414,204,513,394,040,316,047,977,969,105,237,327,701,549,399,801,081,
583,005,206,122,609,380,266,837,610,174,923,590,638,258,965,033,809,734,168,
428,908,893,088,280,058,042,891,391,107,252,399,091,550,491,394,436,912,594,
630,897,535,342,095,216,778,483,922,367,574,217,725,026,049,757,627,257,560,
759,628,884,249,571,612,500,606,932,203,774,340,463,338,392,195,927,122,366,
706,771,699,170,540,338,388,964,687,204,856,917,129,819,327,471,275,031,024,
322,291,327,669,431,478,603,145,639,577,840,315,890,673,267,385,307,219,341,
378,161,751,323,256,929,441,084,583,555,733,199,472,537,440,153,404,139,376,
060,366,716,671,886,942,869,994,068,109,706,011,317,867,149,893,232,618,294,
534,561,735,384,861,262,000,658,614,946,822,347,356,302,731,644,172,994,774,
519,856,101,748,408,868,532,004,060,856,769,620,778,617,485,600,532,292,021,
352,922,228,059,041,390,808,762,932,473,563,786,440,417,229,472,843,998,876,
833,772,144,841,975,556,731,194,257,261,827,603,960,276,728,330,043,733,916,
055,987,663,689,786,302,306,884,273,764,891,593,640,600,512,043,178,665,598,
398,218,321,669,572,855,256,508,336,497,219,294,440,759,205,322,992,805,748,
380,270,238,510,023,867,064,987,914,774,007,233,920,244,201,265,081,750,449,
711,322,816,811,089,437,843,863,049,220,550,254,053,171,505,241,151,405,236,
270,231,584,656,004,916,077,292,698,548,885,484,764,445,128,608,762,750,596,
283,366,022,230,959,416,848,980,421,219,680,153,629,767,490,451,404,708,691,
320,013,393,376,746,958,251,934,529,196,770,736,623,055,522,849,810,920,045,
028,543,697,244,665,536,997,770,412,261,961,454,310,050,528,990,213,868,001,
810,034,626,249,946,940,661,219,273,989,092,839,111,576,789,954,115,124,794,
669,071,332,898,109,016,045,012,681,974,291,682,472,501,107,163,212,473,176,
087,027,683,940,067,228,933,916,112,338,309,120,932,342,924,373,643,929,226,
461,895,516,494,911,936,224,945,392,778,586,702,046,049,888,390,702,405,019,
721,230,098,075,434,872,605,027,734,828,435,649,543,903,481,765,677,068,352,
096,619,942,033,233,063,013,297,645,493,771,957,651,938,425,679,089,381,355,
388,495,705,376,832,659,883,393,313,609,393,410,682,460,748,490,459,229,181,
251,869,052,073,625,630,053,422,077,115,483,466,621,631,427,511,153,697,331,
225,579,919,877,817,070,519,261,341,084,480,165,426,833,294,075,052,999,437,
517,404,348,605,054,896,517,423,909,901,754,546,806,750,538,924,681,979,199,
599,424,682,226,758,747,165,891,737,811,772,081,903,732,129,679,072,200,085,
381,751,313,743,752,209,819,588,330,116,516,208,452,077,957,861,250,670,321,
169,217,018,174,561,230,032,938,154,325,996,401,513,704,186,254,512,090,140,
664,984,423,878,111,477,391,831,067,126,056,344,709,558,665,790,634,232,253,
494,724,662,335,245,787,480,999,874,625,045,180,122,576,666,852,353,375,033,
818,869,219,638,344,078,947,303,866,350,641,286,197,123,226,398,694,586,423,
889,996,611,441,367,272,350,739,282,932,737,754,883,271,787,855,580,239,525,
878,794,320,734,762,441,950,445,843,287,527,916,509,758,806,988,778,086,793,
944,081,082,830,151,693,492,473,163,127,093,460,126,819,549,163,536,572,623,
906,597,603,793,500,504,724,117,295,914,434,617,482,198,021,376,046,916,315,
639,646,833,049,147,439,700,492,215,213,278,294,342,249,995,107,907,502,563,
709,765,977,963,931,066,548,626,473,654,356,307,490,255,384,985,798,094,189,
739,061,352,492,638,193,346,121,804,855,968,560,137,183,392,003,600,344,384,
432,099,847,630,272,732,668,822,947,006,340,203,084,270,644,439,392,867,455,
368,678,535,280,274,256,169,180,578,154,293,007,941,051,471,025,856,930,054,
431,688,753,108,422,054,789,520,127,482,384,296,526,930,399,475,369,313,827,
255,730,355,093,989,040,363,480,240,835,460,354,333,641,138,596,912,391,667,
487,955,431,316,390,243,020,606,891,316,429,058,756,617,401,718,977,854,253,
620,790,337,230,450,265,885,392,127,868,862,738,199,941,976,866,993,640,677,
449,474,948,313,793,727,416,187,806,357,088,977,899,242,667,334,477,265,241,
518,978,729,637,657,640,654,186,195,003,054,743,765,207,626,265,870,249,195,
291,793,975,826,990,477,584,659,721,524,581,742,015,649,707,327,185,027,328,
829,129,067,245,402,051,998,681,416,730,081,568,149,107,678,050,692,209,150,
046,766,375,942,078,812,850,907,963,716,837,487,644,247,793,463,405,847,008,
125,878,948,126,195,360,579,461,531,101,175,649,026,501,675,606,625,568,226,
409,799,928,364,101,461,158,374,192,551,406,603,438,604,549,455,842,121,544,
483,190,065,581,826,077,148,642,012,211,625,445,703,434,888,759,873,952,425,
701,291,544,103,051,115,372,005,591,011,708,771,784,518,454,166,001,810,368,
520,972,759,197,068,320,265,148,172,406,092,041,998,665,814,992,566,564,783,
985,049,937,965,551,613,079,575,012,171,632,301,890,088,205,109,366,716,481,
585,520,521,709,183,544,280,886,577,080,896,112,660,979,550,543,666,076,546,
630,265,670,924,043,835,285,874,089,236,802,213,914,449,577,086,499,171,357,
873,644,306,236,752,548,885,779,419,754,568,196,170,053,997,371,071,690,214,
007,665,771,684,547,449,261,398,276,845,520,134,223,245,094,233,174,745,061,
679,256,907,979,126,792,557,741,688,138,568,363,104,133,260,194,215,427,573,
104,760,948,692,745,273,350,741,210,784,423,712,319,300,967,452,343,752,234,
268,334,223,930,393,577,285,557,799,265,254,772,832,772,770,528,369,695,906,
272,424,743,279,358,471,629,636,580,289,528,110,784,787,298,547,391,409,412,
117,719,438,591,512,495,151,062,060,899,850,747,978,769,692,270,019,270,950,
345,068,632,348,541,451,850,280,777,136,419,856,205,492,406,179,404,708,197,
639,327,682,754,969,507,394,965,502,248,814,075,776,833,192,608,077,734,387,
703,937,795,354,427,846,770,820,968,240,041,471,428,409,377,621,187,850,722,
428,575,571,026,155,325,438,593,492,167,692,035,551,804,547,141,335,863,556,
074,600,257,753,837,733,883,758,646,382,786,303,650,068,477,298,770,729,769,
056,861,348,905,396,262,743,763,824,335,498,917,055,963,127,709,740,794,621,
274,152,774,062,152,805,007,415,820,897,288,801,043,089,109,126,209,276,472,
308,232,895,926,334,833,192,300,970,135,706,647,048,457,509,596,653,071,659,
782,950,770,221,889,821,874,276,685,608,667,560,416,662,206,033,326,449,487,
750,518,172,386,166,734,645,977,674,511,951,530,764,156,694,135,447,892,551,
908,176,536,714,246,119,122,583,504,554,543,751,497,796,520,252,018,663,530,
842,940,254,166,814,248,342,472,354,636,811,471,569,188,567,388,508,026,023,
348,244,393,547,859,463,329,945,177,534,513,054,508,041,567,068,880,603,187,
633,634,601,503,474,721,399,334,999,712,002,093,693,401,496,766,426,242,689,
138,453,897,082,807,044,190,945,254,369,041,534,075,421,669,638,285,307,576,
087,120,094,128,454,694,167,064,053,274,524,111,296,936,305,060,232,739,193,
258,326,243,807,029,536,522,780,166,960,366,743,953,160,213,421,062,980,529,
800,992,285,122,912,957,199,546,583,480,041,466,323,760,716,442,811,051,718,
441,708,802,015,192,175,114,733,173,429,438,361,675,192,344,359,340,474,097,
981,377,571,836,783,804,862,309,089,024,344,590,025,331,950,803,377,635,293,
666,326,743,309,419,048,071,303,553,925,065,856,904,689,507,384,504,913,056,
841,845,900,464,660,717,671,300,133,776,978,223,851,142,973,836,599,694,689,
278,749,718,262,754,365,613,127,579,776,332,845,195,463,113,766,594,421,171,
431,466,791,540,869,724,051,901,390,535,736,267,084,597,680,249,931,098,934,
473,375,435,367,945,274,371,864,470,808,396,837,693,823,165,797,948,031,103,
602,925,030,412,777,926,174,350,265,500,660,521,156,200,225,414,750,389,657,
979,680,449,987,983,629,354,804,279,777,667,950,803,411,224,602,205,944,390,
957,094,590,870,232,357,798,246,210,073,438,375,862,403,768,407,485,238,496,
948,959,768,859,611,292,376,139,168,183,596,096,909,474,629,924,686,159,299,
709,701,080,516,344,154,005,392,747,324,906,934,364,618,083,812,540,637,972,
284,484,026,928,151,917,093,784,079,964,692,491,958,443,665,408,138,753,471,
613,146,922,475,993,054,995,603,497,343,625,133,876,121,326,832,069,921,583,
567,654,708,553,155,325,212,027,591,981,528,074,965,629,768,710,594,157,878,
980,496,289,113,759,595,072,934,407,123,426,819,823,211,217,956,897,581,304,
911,246,275,880,089,050,256,056,344,466,705,562,611,708,636,615,802,590,322,
388,604,120,727,767,777,140,337,034,319,795,045,024,862,546,707,492,947,233,
556,068,377,019,790,649,469,324,610,971,872,294,076,349,416,172,404,777,687,
957,147,261,673,308,915,434,527,271,142,369,021,785,927,289,662,839,001,471,
489,163,083,702,749,240,762,408,874,931,036,015,258,251,119,971,638,044,729,
986,468,919,815,553,049,352,249,909,715,529,039,802,612,792,999,541,987,316,
861,913,685,909,046,051,885,256,009,517,135,295,942,108,126,085,811,361,396,
084,100,213,063,764,148,426,899,311,276,882,183,084,633,746,945,510,862,419,
595,219,900,244,904,570,042,777,500,653,402,131,163,119,186,277,399,635,743,
786,432,867,746,657,897,881,281,184,946,376,932,773,849,214,174,848,812,546,
048,480,758,134,076,997,356,235,410,780,820,333,574,080,378,617,269,505,255,
384,433,322,682,471,497,267,337,720,842,713,089,210,605,769,460,072,221,094,
600,337,794,028,348,471,156,453,106,275,382,067,213,923,439,852,668,341,808,
625,902,069,985,305,685,515,751,167,274,949,813,663,541,903,174,710,305,702,
767,393,033,763,044,819,643,732,788,628,890,375,581,212,930,492,749,716,088,
143,853,685,534,187,347,613,275,879,846,714,243,173,506,227,907,065,028,773,
587,095,528,324,042,496,434,153,472,979,453,079,076,963,165,169,077,646,522,
047,277,000,006,868,050,610,265,966,529,794,574,728,980,934,172,757,908,363,
261,442,055,623,467,182,929,693,235,586,867,044,643,746,035,677,554,151,164,
358,376,527,295,462,608,838,981,746,724,729,999,933,752,236,852,085,898,099,
995,308,429,877,787,249,960,552,395,941,490,367,093,556,755,377,513,528,041,
955,263,606,101,643,859,119,608,460,323,006,567,662,535,462,518,674,170,849,
664,073,841,112,728,747,976,866,656,384,456,287,260,784,547,026,452,261,529,
553,531,381,036,568,519,774,630,492,248,273,158,263,556,593,284,304,250,765,
190,092,134,496,365,573,506,104,999,059,304,900,354,488,631,096,365,248,470,
101,732,358,287,562,481,410,314,454,930,332,463,067,625,203,491,932,012,846,
772,041,418,958,907,533,558,893,726,591,426,465,402,431,560,582,401,461,326,
818,568,984,804,439,900,168,616,685,443,663,923,829,858,150,007,647,585,407,
607,847,419,745,667,460,184,600,639,971,640,379,250,535,375,101,694,402,205,
376,205,210,625,928,071,764,961,167,707,686,242,876,032,046,592,167,359,486,
042,650,009,125,927,798,193,528,506,758,439,239,696,698,541,661,138,422,758,
378,679,550,466,530,140,496,885,437,992,263,902,247,855,749,930,756,258,738,
934,242,490,590,273,929,001,953,736,789,033,653,287,248,693,437,520,753,188,
218,650,431,002,080,763,265,897,224,489,870,585,258,492,685,344,581,962,343,
197,518,275,215,905,004,570,117,653,732,807,061,214,764,291,048,564,296,969,
583,912,549,277,135,408,226,811,826,691,439,430,244,553,759,491,371,639,798,
414,170,783,045,807,849,753,424,421,491,580,949,817,121,271,714,871,222,764,
625,895,503,700,151,834,134,867,672,998,870,754,728,580,583,222,957,613,813,
094,954,371,026,570,422,489,806,075,354,083,234,449,720,879,761,518,713,564,
753,470,713,105,860,443,889,350,551,693,040,978,631,591,377,206,693,667,591,
952,686,185,829,354,448,544,452,576,912,198,601,158,151,324,628,026,796,644,
688,430,043,575,249,210,289,862,625,682,088,453,038,265,410,094,074,496,399,
088,422,078,564,632,457,374,979,136,824,603,537,873,475,762,010,884,788,130,
655,279,704,235,637,955,450,273,199,517,024,933,618,528,630,062,500,785,912,
185,463,606,911,010,847,215,937,677,018,793,308,507,845,229,864,754,331,036,
815,763,223,289,519,499,108,844,834,843,378,398,817,891,677,809,561,723,167,
946,356,712,961,018,675,324,834,835,711,450,171,438,422,893,082,905,164,550,
068,554,543,571,506,051,902,669,747,489,543,026,613,314,093,825,279,797,055,
196,337,393,632,137,684,086,516,334,615,093,990,872,721,931,179,869,585,231,
915,108,979,337,792,026,678,166,750,119,126,256,498,240,463,387,610,019,003,
591,641,093,237,312,542,746,460,395,291,126,989,812,424,458,656,925,488,311,
465,167,656,694,668,526,614,213,040,810,490,298,511,782,153,590,163,218,989,
965,136,465,598,172,471,298,066,222,043,758,967,582,282,519,263,962,633,424,
670,611,969,654,052,453,174,425,454,132,417,877,583,832,267,011,382,380,786,
581,396,160,631,880,001,973,628,487,597,657,365,708,836,511,828,727,341,785,
247,986,883,796,609,209,519,176,925,749,368,421,835,344,561,067,499,137,625,
824,872,265,710,898,580,788,110,551,122,132,329,313,319,779,556,476,380,621,
034,710,741,366,128,621,469,487,432,669,399,559,489,519,989,111,531,659,307,
804,098,439,964,684,224,834,600,229,922,742,641,487,260,200,282,588,712,220,
792,795,216,003,690,741,950,709,587,571,529,003,564,637,803,906,947,639,245,
858,044,994,440,033,482,016,208,105,640,862,758,413,989,258,702,120,767,680,
645,729,834,177,360,759,737,116,803,579,417,567,214,236,466,871,327,081,644,
977,341,129,084,821,908,510,846,612,851,749,328,275,302,025,504,007,006,696,
048,600,604,937,653,988,056,126,576,346,163,572,064,969,936,969,500,640,718,
325,305,725,014,035,480,332,862,200,491,492,927,229,714,560,144,795,402,564,
209,961,703,061,875,537,297,808,461,547,715,359,592,190,706,440,810,314,456,
173,857,213,604,809,974,635,841,534,734,735,566,285,195,431,000,809,545,785,
300,092,328,927,676,145,600,032,333,309,039,317,276,135,295,473,502,999,780,
501,702,234,062,067,693,147,869,739,218,286,430,730,124,918,144,505,845,008,
830,679,933,197,652,056,176,803,282,523,529,632,008,347,900,308,321,511,385,
581,557,162,213,149,970,350,600,894,437,557,743,518,856,883,095,814,493,438,
758,295,995,487,811,326,705,159,231,065,596,338,366,877,312,684,005,157,043,
112,306,939,197,442,030,756,418,778,271,767,342,747,909,655,905,019,260,316,
277,280,341,044,079,651,884,397,659,082,554,097,428,993,099,434,377,034,290,
153,938,577,143,552,166,000,701,157,647,259,036,893,717,438,864,193,094,357,
043,652,745,839,315,273,882,117,954,470,229,593,686,932,879,941,097,008,009,
695,522,796,952,921,035,745,839,643,339,854,996,399,663,954,187,834,417,169,
722,673,301,783,809,140,484,713,186,794,226,117,911,356,803,810,104,929,495,
892,751,468,552,950,085,368,392,522,208,609,495,980,456,388,036,537,491,935,
823,383,498,056,794,890,057,067,380,549,265,886,529,210,489,517,302,123,661,
791,402,453,087,513,210,689,240,938,730,443,734,673,792,993,131,208,865,466,
225,544,811,408,188,898,709,400,771,376,818,931,570,974,855,832,163,907,520,
665,232,906,480,844,892,082,355,395,169,333,117,153,338,253,505,336,376,450,
111,177,929,221,784,410,550,886,149,977,305,338,003,180,174,712,699,924,971,
697,993,441,159,776,208,674,716,562,494,688,840,945,686,705,564,078,007,057,
931,370,804,461,006,403,166,981,150,256,750,128,784,164,654,870,934,635,603,
450,252,402,004,582,619,848,987,049,063,232,637,357,491,904,960,763,377,149,
195,040,625,369,999,393,885,837,928,662,255,810,927,696,663,498,452,062,337,
716,863,933,948,369,511,356,039,186,311,768,297,480,064,024,693,971,787,713,
216,143,936,355,279,646,896,043,957,742,284,480,578,536,646,986,122,792,250,
520,807,287,574,756,724,514,559,346,729,707,849,581,630,603,521,124,097,649,
652,764,908,434,363,742,793,648,536,513,595,223,874,979,354,723,934,556,745,
007,973,112,228,449,635,823,905,938,829,183,975,315,945,251,169,313,606,041,
195,164,860,890,291,773,472,972,937,955,136,959,892,235,963,133,923,994,640,
244,869,151,976,883,189,911,730,935,100,409,170,955,347,689,676,656,517,589,
876,246,875,393,097,609,490,085,898,480,896,720,640,538,768,959,291,525,348,
311,719,711,253,825,580,949,591,352,890,867,431,601,682,348,774,359,831,453,
030,703,041,899,750,162,165,241,215,969,434,560,241,464,553,864,458,041,366,
108,867,962,000,766,099,123,203,754,561,835,581,144,558,749,196,671,514,354,
496,648,863,716,783,423,394,097,701,449,577,490,764,268,391,346,437,915,372,
205,626,689,554,248,355,945,928,262,531,821,203,486,424,717,457,485,789,488,
537,446,545,840,819,271,947,355,310,008,116,766,749,766,021,150,102,867,134,
728,758,777,448,022,766,681,145,152,336,695,197,085,596,746,202,219,471,207,
758,104,659,960,008,814,643,930,440,245,066,962,049,940,389,401,095,063,682,
655,035,500,034,867,192,129,221,629,016,699,108,397,455,423,040,685,948,824,
463,984,444,853,865,501,803,563,241,559,220,236,699,480,770,324,908,125,939,
537,182,029,857,649,012,511,894,076,492,373,571,546,293,884,558,526,477,397,
042,992,281,906,767,485,098,552,734,308,527,961,101,502,156,036,536,008,682,
016,404,481,068,860,964,304,079,749,490,360,295,649,886,591,395,617,374,475,
891,573,374,198,644,517,897,665,164,465,396,489,857,701,034,918,777,619,718,
090,731,196,677,852,250,313,675,551,034,957,474,634,536,147,957,405,404,389,
819,942,617,713,499,128,404,311,787,767,663,026,455,348,215,054,142,402,676,
748,360,468,480,209,613,136,500,728,577,149,292,501,665,883,843,809,320,757,
685,373,054,065,815,515,134,719,933,815,689,828,935,450,574,860,435,080,034,
164,702,881,863,422,086,417,116,236,138,866,335,687,832,087,392,357,365,763,
387,060,251,664,970,168,164,694,264,755,620,664,912,441,090,067,133,557,565,
157,836,179,892,780,177,416,504,587,547,884,257,525,586,901,085,706,828,259,
882,978,214,451,019,002,283,252,372,971,301,368,020,825,995,083,733,790,118,
954,753,167,870,109,392,746,404,006,766,790,102,987,766,110,227,841,935,694,
982,800,221,111,466,249,401,715,581,071,519,908,184,595,156,685,868,439,193,
713,419,991,640,606,155,405,497,189,096,318,086,304,805,031,057,564,047,233,
669,597,931,764,524,145,052,634,635,395,666,264,697,749,490,367,402,593,095,
691,401,284,063,271,056,792,153,620,666,096,789,429,442,431,146,846,635,301,
055,656,902,447,811,974,565,456,845,568,485,078,095,563,548,147,399,086,829,
799,575,932,182,819,495,933,553,288,007,869,062,402,550,334,438,017,005,436,
557,627,234,224,090,697,187,265,724,612,963,954,741,959,447,469,788,810,485,
941,703,148,751,987,625,880,251,928,035,581,780,609,199,400,684,246,957,455,
099,308,183,618,131,213,431,010,237,076,309,727,784,960,543,508,781,824,383,
240,630,228,124,164,732,352,532,305,026,893,865,305,995,434,218,361,985,450,
153,521,218,346,364,441,780,570,060,137,686,957,658,418,558,710,427,938,756,
391,712,092,477,341,490,867,748,038,952,077,245,125,163,195,996,337,780,811,
683,260,505,890,578,766,580,982,131,953,898,540,055,355,866,272,655,955,372,
184,118,108,356,685,729,857,865,352,446,194,272,455,981,754,661,233,352,808,
410,050,302,103,515,430,000,701,023,021,748,959,699,695,792,907,747,668,435,
629,053,271,214,451,433,498,221,600,417,702,573,840,351,350,417,341,484,204,
808,833,373,454,632,541,240,395,119,865,010,035,713,722,447,941,230,765,659,
464,562,698,669,949,308,994,665,430,603,151,122,209,879,349,821,965,394,950,
983,334,589,259,917,710,362,943,695,981,900,641,892,691,098,731,633,448,372,
247,870,176,847,642,400,524,760,603,521,984,327,561,821,167,676,816,858,648,
041,865,616,986,406,410,155,984,610,811,911,381,057,687,618,915,488,515,002,
952,102,409,046,446,426,341,374,181,603,067,349,210,622,565,199,691,912,424,
020,738,218,533,253,994,177,965,698,836,079,807,217,525,226,614,179,190,458,
403,149,710,210,807,300,888,250,849,077,885,218,706,085,570,551,578,558,123,
087,957,527,857,121,203,535,251,390,956,729,462,541,412,993,366,410,367,699,
482,996,039,392,278,718,779,558,695,811,234,308,776,755,668,947,198,237,557,
013,000,401,843,574,208,144,450,304,490,333,974,755,775,467,993,377,571,322,
871,504,091,027,931,499,641,721,086,593,960,074,666,260,145,057,924,107,905,
322,755,820,932,155,708,889,833,000,981,434,341,083,097,358,180,591,396,356,
443,583,447,757,110,620,703,352,260,099,107,600,052,456,289,654,874,083,758,
287,732,537,119,749,294,523,144,779,908,383,559,660,490,173,648,619,590,571,
232,974,138,155,762,439,187,671,463,127,949,356,023,562,869,856,718,287,776,
981,063,423,037,381,107,518,770,309,103,137,310,384,412,068,774,227,503,624,
731,872,017,462,599,540,702,511,759,246,659,404,137,028,820,733,165,135,927,
205,357,605,281,601,540,484,402,560,453,603,522,104,778,568,357,180,112,758,
399,611,990,482,681,089,120,701,235,133,447,128,475,910,800,589,994,162,430,
472,741,387,823,608,116,307,225,352,629,398,712,304,845,978,281,523,582,716,
821,468,360,706,325,847,822,585,939,743,754,267,509,795,702,521,885,313,589,
386,248,017,541,552,453,144,240,003,213,497,473,113,511,660,928,062,347,206,
912,151,363,850,611,001,307,209,591,901,991,446,797,042,403,590,547,926,451,
343,241,131,087,128,178,860,653,336,151,113,345,641,468,242,128,915,738,975,
274,139,452,795,417,269,550,744,847,750,796,935,973,605,859,488,087,279,451,
798,686,134,902,124,443,387,688,420,661,324,981,048,749,066,116,371,375,870,
157,480,305,459,701,501,292,495,016,029,733,728,224,991,992,910,258,501,020,
556,603,080,187,298,958,354,273,529,277,533,673,592,957,770,489,491,944,402,
936,475,372,413,006,464,666,334,573,703,434,161,083,124,454,650,723,471,137,
696,175,279,390,288,624,988,837,194,955,472,952,619,346,888,554,157,818,594,
898,383,779,929,154,071,828,502,032,822,971,599,772,219,337,307,987,969,334,
934,163,143,063,656,766,806,091,554,640,520,872,530,598,659,398,737,959,310,
291,643,763,059,611,991,207,817,788,334,710,202,664,793,487,525,693,818,990,
003,670,167,127,638,768,630,463,743,295,079,204,596,779,153,476,340,336,727,
519,289,479,416,384,085,940,490,643,640,571,345,352,931,002,376,424,259,189,
064,860,914,137,752,437,363,817,358,229,923,369,054,019,366,861,431,109,187,
997,088,195,583,202,706,927,864,452,766,982,033,203,762,340,599,065,740,681,
733,010,521,473,303,468,573,486,777,790,705,165,658,499,928,248,168,995,476,
742,621,776,958,244,561,498,225,665,969,202,178,168,031,439,107,185,619,690,
437,835,772,725,238,026,180,210,561,357,060,343,150,049,865,820,343,729,429,
765,197,024,756,034,188,310,739,900,379,617,829,804,063,139,958,423,269,486,
342,136,846,235,635,660,743,993,586,633,226,078,180,672,623,655,089,519,062,
754,179,059,552,240,541,616,251,892,953,714,397,682,905,943,513,846,379,964,
280,993,247,598,147,250,662,095,084,446,731,919,185,783,817,726,844,320,958,
168,283,174,007,257,893,124,251,673,275,538,686,179,616,918,328,255,249,719,
898,113,966,695,159,623,138,009,562,565,392,492,791,853,438,900,745,676,234,
972,483,859,533,657,875,277,480,061,142,416,139,320,162,802,635,598,041,271,
258,731,729,520,628,793,916,978,573,345,944,643,200,403,775,277,375,866,074,
060,436,242,477,464,702,822,504,680,092,320,414,275,295,412,257,880,338,457,
541,720,313,559,965,529,075,371,960,965,222,892,883,729,835,440,553,133,411,
985,890,458,062,903,869,632,980,017,234,661,346,848,176,915,890,694,076,606,
519,607,235,488,869,631,836,766,728,451,859,017,488,957,775,239,954,611,693,
679,714,050,540,846,810,486,491,516,988,928,216,801,391,115,989,306,254,333,
032,272,539,630,279,190,577,583,208,758,746,873,619,638,057,009,163,290,466,
467,245,844,381,950,020,715,569,478,479,992,282,637,997,516,720,187,450,164,
113,212,507,543,203,716,002,088,412,345,598,282,899,539,320,419,926,987,657,
073,400,256,272,566,088,270,691,002,003,203,811,284,571,411,538,153,901,460,
730,283,553,479,328,450,295,865,783,343,591,300,848,252,573,319,050,201,688,
981,377,218,847,249,983,775,221,598,151,772,026,319,781,997,634,570,372,616,
776,935,400,511,050,944,189,880,181,310,637,226,246,405,617,532,937,217,474,
288,917,892,268,342,168,698,815,899,771,366,302,623,866,321,691,005,935,084,
268,785,023,346,024,283,830,649,791,099,529,390,001,422,772,409,920,475,856,
484,980,007,415,625,281,984,827,634,655,369,171,805,509,289,368,077,644,712,
622,786,401,236,675,965,316,845,993,144,290,939,212,260,697,346,596,306,370,
722,643,057,077,641,068,179,307,227,499,741,089,053,672,604,655,608,322,944,
553,323,054,554,606,185,052,094,825,833,587,742,405,718,223,847,836,435,340,
469,960,949,292,758,866,863,952,258,499,989,539,814,257,607,030,008,153,841,
477,689,976,547,307,224,989,239,972,166,736,396,254,599,115,497,893,036,424,
813,939,395,103,419,813,683,290,762,752,547,849,208,855,367,581,819,095,404,
428,111,491,910,859,371,669,250,106,014,562,317,109,339,645,961,851,688,824,
965,896,794,945,309,949,445,951,044,319,694,326,991,139,719,953,170,677,597,
842,823,990,983,180,648,054,006,967,521,874,265,325,577,496,672,970,994,146,
678,312,325,281,008,269,205,908,537,260,141,107,964,950,209,356,950,825,771,
753,565,423,728,190,853,888,217,487,256,432,834,776,561,198,359,338,139,600,
619,830,409,446,266,125,794,439,556,442,552,246,386,819,093,598,452,340,927,
436,759,215,051,919,216,509,064,629,726,416,785,451,613,510,677,787,726,540,
286,710,424,229,931,617,481,335,137,623,285,497,783,572,509,792,187,288,299,
183,127,210,455,861,568,593,383,275,628,455,499,065,777,051,597,827,101,765,
927,584,630,199,181,089,333,102,712,315,615,326,026,949,029,189,664,886,320,
383,084,463,611,714,799,752,541,363,783,869,076,991,472,049,907,836,291,835,
460,904,991,711,102,325,689,606,489,793,271,596,270,701,569,557,116,481,505,
385,706,085,024,000,008,301,440,176,699,983,577,437,614,907,082,674,251,090,
688,979,970,064,611,817,499,507,970,699,275,037,042,731,352,850,741,071,826,
466,669,584,598,867,797,987,804,895,782,742,087,667,396,953,439,704,130,447,
154,756,259,326,709,573,540,272,705,214,173,335,675,108,512,025,122,979,567,
287,345,984,115,313,479,038,505,230,449,779,304,457,810,690,176,430,389,820,
298,381,308,466,697,789,248,610,130,562,675,890,534,623,694,755,774,293,101,
452,563,900,943,106,063,784,484,400,522,392,967,096,313,793,310,848,214,885,
846,224,194,567,567,102,187,978,308,520,002,135,160,141,039,161,637,625,373,
275,134,950,422,476,675,247,229,009,948,093,112,245,234,817,858,738,941,567,
016,816,464,525,139,751,232,806,298,787,494,228,628,730,895,210,473,941,265,
539,220,479,261,899,949,688,276,500,421,912,197,569,195,153,699,604,833,022,
199,333,310,906,693,407,102,550,941,233,186,906,631,003,685,393,925,519,878,
478,485,676,492,830,949,449,887,995,243,294,331,146,487,291,944,689,686,332,
585,840,223,363,865,000,292,756,604,927,589,406,678,218,217,206,365,323,503,
524,096,893,466,496,049,328,886,518,126,752,864,826,860,060,629,825,924,052,
946,088,687,906,209,315,157,174,795,620,173,671,209,368,798,945,267,807,333,
905,372,418,068,207,103,746,010,473,536,937,080,187,908,045,367,184,756,946,
461,149,986,894,724,423,056,189,358,299,576,148,674,470,047,622,665,090,769,
927,091,159,655,794,605,817,083,077,582,916,930,125,617,398,986,589,977,496,
791,186,514,769,079,372,297,474,304,287,826,199,420,914,811,743,748,927,521,
498,845,326,056,853,557,121,534,892,880,770,114,197,110,896,162,585,693,790,
982,754,351,052,082,293,420,471,031,397,033,179,462,520,789,132,657,697,189,
265,861,605,742,565,776,245,968,311,838,846,249,246,765,957,677,082,555,799,
729,787,775,958,684,722,016,676,673,703,302,362,807,484,355,078,162,165,463,
283,041,291,472,232,024,686,073,423,684,307,752,129,315,511,336,844,932,510,
090,955,662,322,326,544,995,939,625,203,598,744,736,426,091,233,180,055,974,
190,702,948,912,968,138,275,946,397,897,485,204,409,688,236,545,218,205,491,
063,748,592,576,238,995,864,231,036,759,714,274,509,778,035,104,837,480,614,
431,460,019,094,604,774,880,292,318,749,034,356,065,055,512,271,198,459,848,
232,993,698,810,255,399,620,880,606,509,995,746,403,927,146,077,261,780,473,
233,922,149,398,852,372,797,303,892,386,601,356,595,655,814,187,731,405,695,
604,599,435,829,664,072,236,836,119,544,681,161,438,043,162,715,768,487,255,
391,199,739,219,859,561,117,470,038,286,310,142,119,473,274,938,913,578,227,
186,662,927,183,838,419,298,171,171,515,895,741,948,283,151,752,771,464,780,
071,033,467,321,505,065,937,141,657,136,106,158,940,953,031,798,971,531,022,
494,212,246,781,271,611,995,690,949,372,498,660,681,404,502,164,845,028,795,
250,880,137,223,888,383,677,358,865,455,475,175,753,965,930,835,665,069,889,
282,418,981,252,165,873,530,249,536,160,085,358,664,081,694,208,507,587,176,
132,114,541,971,495,553,001,098,035,155,596,126,614,764,768,676,888,040,747,
151,392,612,867,355,507,198,919,249,014,756,678,187,209,259,792,147,158,295,
717,640,989,013,527,813,997,580,762,061,656,164,867,945,753,065,168,319,100,
131,488,996,444,713,678,055,170,715,284,332,263,433,264,678,968,929,101,027,
170,905,477,129,824,763,051,130,040,527,824,690,409,720,675,024,439,016,083,
614,816,957,846,102,747,073,634,398,681,016,573,718,137,690,280,552,788,926,
838,433,376,125,413,329,783,507,045,284,725,822,352,302,926,589,887,479,058,
302,282,670,784,983,459,289,152,308,235,100,263,451,909,260,995,889,000,446,
005,385,276,638,211,504,958,833,746,383,323,118,604,235,500,497,602,844,890,
402,033,091,615,317,620,760,821,148,856,458,548,362,809,598,035,234,641,048,
481,629,067,584,219,673,578,206,172,960,815,946,879,969,159,516,744,204,344,
541,550,518,998,410,756,340,618,578,345,024,199,212,591,099,766,443,526,484,
282,188,274,382,668,313,983,981,074,371,016,260,325,110,550,987,121,126,257,
114,425,339,369,349,000,293,625,737,435,930,673,055,447,203,056,794,659,261,
390,354,718,323,805,858,571,853,974,351,888,966,869,762,591,138,863,008,243,
371,982,571,065,978,012,770,705,448,358,931,157,505,429,292,012,098,301,621,
158,613,331,741,803,485,266,377,392,342,274,959,717,700,943,429,340,961,362,
700,121,975,772,391,369,553,103,707,288,646,182,152,840,220,157,810,464,887,
803,748,370,344,193,651,901,045,110,033,971,111,198,235,445,217,496,824,612,
162,651,234,440,687,822,914,611,892,500,197,246,489,747,845,091,245,201,237,
212,087,387,368,597,473,326,512,814,671,438,865,770,653,178,664,137,123,980,
173,020,281,031,786,985,279,244,293,836,215,837,958,150,388,109,078,202,727,
515,417,615,715,221,450,474,860,800,861,154,857,467,316,690,396,743,535,794,
427,967,100,629,347,210,002,101,449,022,031,809,898,032,937,198,242,525,862,
557,995,527,756,821,133,028,399,288,512,569,674,090,499,229,235,657,720,497,
224,379,044,914,973,027,736,096,599,475,540,300,481,859,870,425,466,392,165,
293,873,948,898,366,580,994,710,801,005,166,107,812,123,632,293,780,039,461,
527,414,211,704,823,367,742,011,511,329,128,720,338,104,377,986,265,123,519,
869,980,172,760,678,790,078,077,887,937,800,705,028,975,120,439,322,339,645,
558,066,619,995,057,317,215,611,781,867,783,509,196,172,874,689,259,032,999,
836,187,827,572,639,565,099,324,904,251,798,745,748,338,402,897,668,096,878,
317,252,690,992,209,019,471,919,972,731,813,753,535,645,158,993,570,313,906,
265,163,789,168,284,203,550,051,861,209,052,013,975,621,857,611,080,330,068,
035,869,778,445,801,194,251,408,379,298,388,216,942,198,196,917,636,718,774,
878,591,096,514,680,581,073,713,245,103,537,225,654,557,122,271,819,185,067,
460,042,192,334,590,307,566,049,276,821,742,662,860,263,264,687,822,695,221,
747,240,809,768,450,120,541,760,319,977,518,881,246,655,283,793,518,307,300,
967,321,933,341,927,391,268,481,673,333,205,678,079,252,956,119,661,934,151,
657,052,467,951,859,970,027,405,413,892,549,138,172,968,701,403,731,462,487,
237,610,639,719,184,964,862,220,909,282,460,442,306,329,175,876,885,286,118,
592,116,388,407,317,245,726,534,339,065,776,586,028,163,530,776,798,205,057,
705,963,392,533,901,655,741,770,851,573,617,384,367,516,378,426,197,377,095,
670,837,322,476,371,392,282,469,264,973,693,966,409,411,620,837,239,636,934,
558,283,994,497,027,884,097,237,904,332,742,914,793,364,678,171,176,351,428,
453,568,121,979,875,056,557,816,766,756,787,897,840,363,772,492,293,427,910,
947,866,758,428,960,619,832,957,823,917,559,296,950,704,312,954,552,090,347,
879,325,567,372,777,442,621,481,323,411,320,720,373,964,823,924,800,008,635,
405,610,815,705,591,782,285,687,030,559,935,060,729,880,820,290,242,407,003,
947,455,635,058,493,202,886,185,118,812,147,082,098,359,281,283,563,571,491,
574,145,875,037,610,789,421,582,491,950,037,629,262,629,950,661,388,978,269,
747,591,766,845,644,696,802,775,237,920,279,341,587,463,281,810,777,177,289,
951,878,779,675,776,946,145,454,922,395,186,549,845,372,065,860,143,823,573,
996,701,373,302,211,085,263,356,926,450,600,178,476,355,916,925,498,933,912,
616,113,251,808,585,308,710,997,973,079,900,305,603,824,943,608,988,178,738,
341,913,119,508,796,295,710,680,099,439,155,597,765,370,954,233,295,225,841,
529,399,422,855,635,193,676,446,315,126,449,408,669,194,517,654,349,331,759,
730,431,007,003,434,611,196,090,634,477,195,463,756,384,297,748,213,347,329,
041,078,018,973,735,127,191,005,248,737,210,570,662,255,380,524,519,656,177,
846,931,149,604,965,854,531,387,898,055,051,563,836,288,832,321,510,895,652,
102,809,538,254,850,851,077,139,302,560,590,710,567,173,102,063,310,686,385,
395,013,155,334,597,534,982,154,840,741,839,228,489,720,526,999,127,086,205,
277,207,419,696,457,362,680,573,062,450,258,638,259,788,293,135,753,478,149,
182,745,408,052,878,956,424,538,172,137,315,612,403,034,202,989,254,150,429,
995,689,738,630,848,675,392,000,473,626,505,211,141,337,676,155,433,232,537,
001,798,848,003,157,836,055,549,251,622,351,613,864,917,187,492,742,016,100,
027,330,152,403,891,817,047,113,440,381,172,022,193,302,233,182,590,423,068,
288,012,235,783,024,272,399,468,873,236,000,586,759,880,845,183,786,940,391,
431,660,670,231,932,438,772,978,657,220,837,195,223,471,263,206,911,373,450,
353,143,119,689,565,019,832,299,742,512,941,041,768,589,761,343,596,583,486,
095,412,721,913,432,893,074,046,788,058,793,049,930,001,627,066,447,146,049,
129,817,915,652,909,548,755,996,330,926,816,612,495,584,965,185,622,930,941,
439,784,671,751,052,806,746,341,747,032,745,097,276,687,025,256,628,069,559,
014,748,250,987,630,439,434,840,250,611,595,510,121,817,709,063,563,876,142,
530,232,919,935,711,885,975,037,884,872,630,477,955,092,229,922,564,243,638,
505,908,108,813,529,746,554,157,629,888,197,785,151,899,145,512,961,659,899,
492,679,221,140,655,004,268,981,451,832,181,312,166,452,672,234,729,057,490,
347,507,870,105,384,812,520,823,512,905,994,491,972,914,755,059,542,484,614,
521,791,646,587,589,161,583,503,325,466,846,847,874,116,347,270,875,849,735,
724,135,581,525,730,656,980,940,595,483,957,823,405,534,743,541,232,229,897,
835,218,415,297,113,610,814,360,692,573,445,919,893,937,450,984,566,869,006,
567,644,674,456,425,858,788,644,765,438,580,380,477,877,478,805,091,016,593,
889,324,590,333,941,261,640,938,933,004,828,710,667,919,977,503,334,508,729,
190,138,181,585,453,912,138,973,001,364,290,904,502,625,552,109,828,660,017,
177,105,700,853,534,638,136,597,972,433,237,151,373,156,107,191,673,793,249,
824,901,483,834,571,723,647,674,085,696,502,447,441,424,201,543,260,832,863,
394,478,369,170,981,797,836,997,909,333,438,389,955,504,911,511,957,492,065,
828,671,503,892,546,748,565,591,058,270,470,754,990,318,001,278,107,892,153,
313,741,837,429,056,297,755,586,373,371,679,429,982,924,587,998,350,436,795,
509,394,760,444,526,920,342,146,448,645,004,037,503,290,999,857,061,565,630,
081,815,767,228,013,528,002,954,949,276,784,189,516,283,140,456,053,423,929,
462,044,777,210,844,323,644,431,085,137,160,950,371,661,442,623,324,479,465,
624,595,501,591,382,808,699,271,588,721,262,028,619,509,096,178,362,798,094,
525,804,552,121,126,084,109,064,062,765,385,154,491,854,883,873,089,564,032,
498,393,412,887,324,148,367,293,561,036,908,485,312,544,933,291,224,252,270,
320,154,782,997,038,034,884,220,995,959,997,692,207,332,559,173,488,016,786,
968,826,976,565,729,135,733,887,218,775,006,195,372,921,905,485,955,758,965,
260,981,584,235,439,599,585,206,028,111,312,384,279,894,428,798,801,164,710,
733,089,419,296,747,078,659,604,009,784,335,879,732,251,579,742,193,700,149,
338,064,596,920,062,427,512,147,573,075,245,997,674,664,143,677,231,014,523,
152,389,028,172,937,451,617,056,693,535,678,301,393,784,844,563,511,036,510,
437,070,683,287,120,945,725,463,739,792,083,011,216,829,196,772,965,346,230,
354,832,722,703,276,050,431,025,058,270,786,471,256,480,813,229,948,179,710,
548,630,997,415,246,446,973,459,717,435,185,501,519,627,467,754,673,068,538,
327,450,412,106,438,253,203,144,855,950,404,274,153,132,258,921,275,519,294,
795,228,795,995,073,771,838,535,862,618,521,718,928,180,300,893,680,296,155,
108,052,098,834,853,350,395,556,643,366,661,866,771,355,228,043,138,880,217,
392,886,507,964,914,586,199,172,421,053,337,756,977,333,722,910,451,900,005,
129,134,002,747,726,193,960,130,111,515,180,270,077,425,104,894,181,608,531,
681,186,945,827,258,522,877,128,113,903,751,406,318,574,358,038,738,310,754,
320,551,925,744,907,423,768,778,336,050,165,377,580,501,456,863,580,586,307,
851,160,996,667,518,795,742,447,300,387,394,636,368,509,047,714,236,002,095,
491,858,687,782,673,296,510,881,674,791,417,892,801,457,521,271,359,941,259,
442,535,233,977,248,958,869,836,083,186,884,643,756,081,342,062,677,946,212,
546,992,699,569,967,623,593,277,709,153,225,486,329,281,340,855,535,012,115,
948,599,711,248,899,375,451,322,265,544,298,633,287,352,531,835,796,927,013,
636,757,597,548,858,229,092,576,670,528,704,999,315,381,597,117,685,761,262,
025,216,344,503,031,195,528,827,208,252,333,075,268,187,198,475,874,842,449,
736,095,549,516,063,452,713,321,714,203,496,772,291,546,419,963,884,544,282,
949,203,524,337,705,931,983,701,263,648,825,712,398,605,010,747,014,371,904,
432,777,384,211,757,608,430,525,946,821,762,486,041,357,278,915,583,222,288,
438,531,934,679,341,259,616,678,196,337,968,627,937,030,843,590,912,984,443,
226,989,765,434,648,115,856,227,865,005,506,202,136,821,518,749,666,451,757,
531,986,282,328,854,231,697,910,731,945,355,745,146,784,942,918,089,473,678,
121,603,014,028,078,547,278,496,528,021,689,676,199,201,629,280,904,643,214,
603,793,388,921,721,332,185,590,745,234,410,273,367,376,400,137,864,965,210,
884,710,086,767,734,602,252,261,551,922,965,062,057,556,907,239,863,745,667,
590,212,237,136,306,578,058,947,480,089,822,355,732,031,506,715,088,311,933,
578,220,465,812,460,652,508,569,954,771,674,250,714,900,647,270,800,749,057,
625,849,548,960,538,136,180,103,985,345,124,422,865,715,560,296,194,747,536,
985,762,128,004,347,319,674,164,142,745,351,803,841,931,160,259,274,498,376,
860,091,179,635,170,736,218,400,293,437,569,472,802,416,994,914,240,628,974,
837,144,239,728,853,434,161,992,414,395,556,857,981,382,993,229,000,741,292,
641,399,465,304,367,664,835,749,203,034,725,497,095,330,770,647,608,299,463,
843,250,933,503,102,066,891,316,142,109,296,929,937,973,120,903,199,320,932,
343,152,668,171,433,150,478,822,043,351,075,389,722,283,769,222,883,273,492,
626,459,531,321,197,447,100,177,354,216,273,269,701,199,546,635,849,375,883,
039,923,281,084,686,914,082,329,437,099,160,773,046,736,334,231,062,178,086,
994,800,755,985,560,687,250,993,284,375,320,173,092,816,465,921,082,794,812,
671,415,099,759,916,623,229,288,305,237,821,336,564,412,284,621,700,167,325,
821,933,984,057,237,747,209,837,372,538,521,775,143,206,566,930,217,242,288,
630,917,435,408,866,987,889,040,707,799,904,475,151,253,538,019,263,268,438,
796,704,018,217,225,948,317,987,209,799,492,556,906,646,131,459,893,539,333,
431,473,842,734,925,330,081,626,274,322,547,746,812,232,824,803,027,149,506,
903,391,125,136,270,047,196,946,777,717,074,352,416,836,951,092,572,744,223,
210,631,881,346,692,008,016,067,982,070,472,162,039,594,052,063,630,293,591,
906,873,473,588,070,537,180,852,768,883,586,719,845,188,343,691,910,427,497,
610,810,043,668,400,822,905,859,663,180,581,299,686,458,094,162,849,570,432,
014,143,791,743,793,154,483,104,192,837,016,514,574,369,130,907,765,930,905,
802,444,534,702,133,054,882,014,718,983,358,241,984,137,880,395,575,471,324,
850,867,700,951,956,960,153,405,655,834,813,444,756,977,579,495,745,660,707,
582,162,532,682,153,081,213,148,548,991,669,462,782,046,919,926,168,040,304,
166,711,848,131,880,274,492,410,650,735,310,735,157,933,265,016,591,561,999,
813,782,896,963,710,481,481,167,229,398,529,979,860,462,608,674,958,062,568,
947,424,137,977,690,391,549,979,071,126,176,643,654,278,964,405,514,633,268,
103,471,784,717,221,011,007,490,561,432,341,020,659,170,035,100,086,621,931,
708,046,503,529,199,567,396,647,362,347,188,056,252,349,991,708,036,312,056,
487,216,695,063,568,984,075,877,092,753,450,081,360,354,422,762,907,488,864,
111,501,535,469,050,699,694,189,837,385,379,938,788,613,668,596,747,800,722,
275,709,574,852,734,002,872,953,676,574,516,111,243,757,949,673,915,129,423,
761,404,978,820,936,281,173,446,509,861,722,101,318,876,969,798,550,715,194,
301,394,529,565,799,618,817,139,107,164,486,631,542,326,169,467,727,007,255,
205,159,444,983,017,740,794,224,286,295,437,836,842,202,246,773,865,095,102,
386,381,242,295,270,094,426,454,431,472,043,569,167,087,121,753,842,303,969,
946,979,606,710,362,418,470,879,726,808,775,616,507,089,171,047,619,443,583,
203,077,064,486,956,713,619,429,753,890,908,202,618,853,694,284,669,604,565,
933,882,240,863,054,082,081,252,101,678,611,318,558,498,837,387,879,140,288,
811,334,538,381,347,228,941,257,816,052,388,539,289,760,468,078,237,735,519,
073,243,484,466,891,364,479,240,089,894,624,528,743,356,283,465,327,303,219,
566,449,663,706,066,853,482,965,897,557,379,311,349,158,533,799,458,507,634,
716,622,566,941,675,688,120,798,227,475,355,388,585,665,456,331,349,120,470,
515,138,792,892,000,239,894,967,630,026,692,572,121,889,256,196,939,514,929,
666,980,493,341,319,832,767,299,256,783,297,388,627,926,797,981,436,945,611,
196,551,692,747,323,630,444,826,212,613,270,039,084,071,093,872,217,529,038,
575,452,960,828,464,713,663,373,121,956,565,561,174,954,450,648,310,620,903,
019,029,626,779,496,811,730,024,219,251,170,725,760,495,900,448,509,498,745,
178,289,153,843,172,056,843,246,686,726,973,774,109,232,317,441,157,641,513,
119,205,400,305,181,351,458,628,968,006,091,277,778,487,500,335,557,030,066,
050,240,196,640,263,714,444,354,314,653,927,396,106,101,430,901,420,500,394,
167,437,976,228,999,483,537,264,539,797,901,221,656,833,697,659,449,709,396,
273,971,214,447,822,024,647,210,438,622,441,689,276,050,925,707,894,958,940,
709,211,915,847,610,610,669,863,739,889,475,088,187,937,342,543,291,539,443,
016,565,780,266,278,978,287,461,828,764,025,082,796,445,261,777,667,924,996,
889,676,912,778,973,072,979,527,265,296,092,033,774,313,632,831,713,643,490,
173,792,440,206,361,440,983,366,624,524,326,675,343,977,228,831,036,133,985,
150,873,869,601,983,450,145,834,246,373,661,273,103,765,446,936,353,660,153,
491,083,594,738,232,098,074,834,965,159,908,813,138,867,541,866,244,050,006,
487,326,458,033,299,144,396,616,068,452,712,455,681,697,892,759,501,106,546,
359,294,338,445,759,755,674,305,372,975,498,517,863,983,019,222,885,076,141,
106,705,607,942,282,978,823,465,832,829,785,303,450,250,552,097,780,457,473,
511,026,866,744,808,772,659,039,753,099,886,145,037,530,832,059,569,725,845,
300,651,088,594,595,885,958,494,850,435,020,481,434,589,000,538,307,875,182,
619,277,413,267,606,475,365,098,944,058,349,370,790,430,967,736,294,069,372,
861,549,900,135,024,079,911,111,775,012,655,730,669,494,740,344,158,867,647,
716,604,027,400,486,217,253,651,282,789,779,158,991,989,411,936,770,496,520,
789,642,394,323,206,102,928,906,134,299,454,215,068,604,188,201,870,707,415,
914,234,226,205,889,080,249,832,061,357,374,426,166,065,466,128,323,110,258,
839,584,802,707,452,776,246,020,849,202,816,343,136,244,700,516,836,205,736,
152,973,914,122,330,600,162,554,350,946,476,271,143,498,643,692,587,744,823,
397,136,698,026,097,773,014,182,639,080,686,840,148,196,192,211,784,980,843,
419,650,931,212,183,419,547,856,715,540,650,413,383,508,561,871,971,526,253,
993,209,828,293,373,533,189,342,782,289,513,192,491,527,029,950,529,686,513,
522,177,431,519,119,123,545,125,162,183,062,723,463,460,623,415,850,018,043,
430,774,070,830,776,125,880,280,597,984,091,829,667,612,881,497,273,483,263,
446,118,362,907,338,138,972,903,541,816,971,753,290,543,609,377,121,644,127,
578,699,561,967,413,632,167,544,936,754,785,528,097,909,688,190,168,597,103,
557,702,772,391,946,226,309,871,251,476,621,255,514,201,343,385,469,239,201,
364,001,805,742,972,797,445,597,515,375,710,879,420,153,531,537,429,598,815,
603,451,133,255,208,641,543,371,338,068,794,731,676,283,080,980,993,321,919,
499,478,178,116,750,072,680,560,349,637,068,047,500,490,761,683,978,999,758,
531,676,269,609,680,526,026,566,862,344,881,611,140,741,670,126,193,482,145,
529,319,819,387,645,100,519,522,793,071,114,860,061,691,106,802,703,963,954,
736,931,905,010,863,914,032,267,533,403,397,577,393,860,436,778,325,552,644,
659,402,619,053,909,702,006,795,007,552,463,774,976,678,202,016,356,546,925,
943,685,314,069,703,429,300,560,624,084,483,439,491,587,840,017,569,617,659,
922,963,636,145,348,723,077,344,732,332,720,695,197,702,704,918,635,478,071,
971,556,313,376,042,251,983,576,943,694,978,805,948,813,082,996,283,409,557,
563,542,274,000,720,635,930,164,441,549,264,408,709,906,157,240,651,896,286,
656,072,609,294,773,850,376,750,360,468,632,513,663,442,899,522,979,719,898,
735,736,439,924,070,438,435,072,502,865,713,362,572,614,177,471,399,413,118,
932,850,720,975,121,738,412,703,476,261,947,715,625,364,589,318,744,537,220,
434,225,587,920,675,992,686,300,146,413,507,683,591,298,578,138,742,031,415,
814,836,700,609,818,288,595,161,282,757,229,762,463,366,089,189,894,618,739,
067,879,125,919,689,955,696,439,993,994,175,618,864,943,518,492,963,071,351,
769,339,939,560,882,049,444,889,273,134,388,688,698,800,601,313,827,607,882,
225,314,547,734,075,001,405,941,081,803,839,950,884,098,040,361,845,609,558,
002,684,180,992,961,139,911,522,984,586,496,494,981,504,764,932,625,673,516,
405,747,583,471,811,034,703,080,709,548,552,950,149,664,296,256,362,357,588,
316,100,832,053,374,168,696,847,245,011,383,031,670,803,762,760,043,882,667,
799,641,230,001,534,114,850,855,058,028,945,431,367,216,348,981,495,334,943,
851,802,844,749,069,247,483,264,379,290,995,600,202,949,018,366,267,042,555,
057,416,420,465,487,791,232,182,005,041,899,430,748,608,004,622,234,876,777,
550,019,642,896,103,921,918,700,045,129,213,036,493,070,519,424,298,755,763,
877,480,623,191,749,266,324,421,191,966,565,733,672,744,782,559,813,723,952,
289,028,006,274,992,033,461,731,445,515,558,092,104,325,836,239,471,499,135,
928,246,026,169,675,592,926,724,318,186,185,469,418,050,850,748,511,993,103,
596,277,346,211,498,408,572,936,600,244,938,805,008,001,761,197,776,970,950,
194,782,579,565,300,547,242,889,143,985,940,658,788,040,550,089,672,078,414,
017,370,934,652,709,048,679,264,950,525,231,622,184,178,089,575,940,931,350,
381,503,000,372,014,195,642,034,475,022,151,959,600,665,881,313,955,196,239,
336,122,114,412,036,095,340,652,100,589,650,439,960,548,855,840,623,714,699,
082,555,973,157,681,637,977,626,815,559,082,794,657,866,901,791,352,077,581,
921,549,071,098,558,298,323,489,220,084,145,421,710,875,680,565,711,830,260,
544,824,389,834,714,136,655,194,981,739,082,938,765,967,193,762,827,575,776,
471,217,320,539,268,096,760,429,257,784,342,835,048,892,734,114,988,398,216,
019,077,635,113,861,056,586,023,365,651,610,575,312,255,367,612,449,220,603,
188,278,103,851,502,977,876,934,899,632,876,751,011,194,577,327,760,540,876,
829,983,185,143,485,785,743,848,364,768,231,113,128,297,794,693,828,814,093,
691,959,445,372,948,043,687,491,256,592,395,938,648,988,133,432,381,021,434,
538,060,399,600,030,264,416,556,798,794,038,036,140,039,920,328,401,299,979,
816,847,470,899,452,213,758,068,159,779,510,622,446,793,167,440,447,273,116,
430,298,165,572,080,172,721,162,977,829,993,493,463,715,794,891,351,989,597,
632,063,147,430,730,380,183,517,928,291,947,954,263,166,246,481,242,843,281,
413,816,385,860,130,289,617,140,793,942,012,393,648,269,809,788,633,396,029,
818,718,843,512,911,624,831,924,617,980,621,527,099,532,128,094,367,471,045,
601,093,946,837,830,696,200,594,909,641,996,647,125,848,899,098,361,682,531,
154,972,388,907,975,156,189,586,909,291,998,883,159,077,943,416,250,491,007,
682,472,181,967,650,378,433,714,879,402,584,647,138,130,387,218,211,087,752,
352,880,952,756,375,489,499,566,826,907,672,264,478,291,110,601,694,301,964,
723,613,830,538,949,826,908,009,733,364,896,587,643,966,268,556,012,821,169,
446,132,080,814,818,354,265,719,476,465,520,407,008,901,387,141,217,029,473,
051,084,612,115,733,056,523,946,958,475,774,276,961,558,638,122,007,825,889,
713,923,575,400,027,480,521,091,226,085,544,116,065,937,128,457,496,331,971,
514,140,801,261,588,355,961,236,368,372,131,785,507,176,693,215,127,749,651,
753,619,616,998,434,513,707,660,014,943,498,658,753,353,663,361,799,123,517,
772,603,807,517,506,239,665,900,337,533,208,350,484,829,251,633,343,865,826,
551,807,384,783,876,815,399,270,393,314,331,733,951,134,558,623,943,432,118,
788,084,056,071,771,885,056,759,786,778,321,132,450,667,577,336,547,060,345,
325,857,808,587,456,221,256,789,006,000,891,874,702,709,607,588,300,754,835,
721,468,602,774,896,877,604,606,390,153,647,505,991,890,324,004,616,479,011,
651,177,218,630,901,499,795,281,884,239,767,698,433,159,809,997,024,916,513,
884,057,685,721,375,146,104,972,187,245,162,362,175,699,054,582,692,918,634,
778,852,824,525,189,698,330,212,110,837,749,035,421,160,038,699,468,110,568,
415,124,602,223,569,168,744,271,688,219,731,768,538,942,297,445,494,261,365,
883,202,333,764,727,275,444,645,124,522,934,620,331,005,104,417,419,261,900,
476,150,822,993,217,060,229,488,808,582,254,186,201,929,059,143,919,104,872,
004,306,825,967,208,591,564,997,283,165,272,198,507,715,436,921,614,767,463,
762,932,261,696,730,769,941,540,832,199,035,240,698,191,259,542,332,453,931,
088,880,139,188,100,730,246,529,586,662,947,692,579,138,883,962,993,851,150,
893,625,957,700,981,461,379,480,681,486,754,943,092,430,613,536,004,834,942,
570,338,459,561,692,344,761,178,674,449,666,190,577,106,681,708,299,070,173,
022,526,997,623,264,104,909,309,163,329,221,417,063,315,775,313,100,714,166,
817,608,470,349,398,639,468,633,052,336,677,856,751,884,169,348,572,345,091,
773,175,905,025,297,792,932,528,328,450,072,983,529,023,214,252,328,799,154,
597,437,895,767,612,825,377,008,683,228,823,004,944,236,427,751,940,392,655,
715,891,611,088,108,463,633,256,356,036,011,446,080,813,172,886,363,761,416,
261,884,033,874,359,690,713,631,174,081,890,766,332,365,096,582,419,654,863,
804,266,216,628,204,061,115,758,411,795,124,312,134,444,125,123,530,962,657,
872,342,121,508,599,251,121,379,858,262,201,979,898,513,387,954,356,119,047,
788,436,551,988,584,830,264,130,796,781,207,084,115,721,237,788,598,173,943,
572,304,542,563,665,126,924,880,418,392,571,150,095,431,177,022,867,459,575,
384,353,592,374,400,012,335,688,031,318,340,275,182,644,342,734,665,379,844,
203,464,172,832,129,565,169,809,939,508,780,127,221,240,728,014,040,791,482,
503,630,736,545,084,748,481,524,232,254,519,593,705,189,926,264,991,044,634,
453,580,433,153,123,282,303,666,244,750,488,411,564,701,746,838,102,324,099,
375,737,147,934,791,000,716,550,932,613,968,867,810,902,213,812,460,722,916,
567,686,077,190,497,548,872,099,819,612,783,387,785,408,663,349,250,113,785,
567,123,689,843,080,362,153,645,410,228,740,308,746,561,866,458,188,546,013,
393,947,139,705,943,925,851,139,407,420,559,130,258,947,331,225,357,860,314,
032,358,057,925,884,245,903,158,448,675,536,201,183,928,255,195,650,606,068,
670,290,583,725,768,331,222,244,658,810,833,846,072,574,110,715,523,841,123,
907,764,768,099,392,353,681,571,042,593,151,108,026,476,965,713,990,905,553,
403,061,725,304,170,246,797,249,790,994,137,046,517,574,019,659,391,629,731,
987,385,415,161,890,573,457,246,377,801,541,554,064,922,559,162,327,263,734,
323,678,441,319,152,540,642,508,689,237,626,898,927,171,033,151,948,723,424,
220,457,577,331,759,883,972,506,552,390,739,503,267,418,369,723,568,049,128,
451,317,903,538,064,244,473,635,837,536,533,912,233,017,907,963,757,214,962,
388,528,985,069,674,273,865,377,477,943,313,196,613,678,645,649,790,727,443,
148,025,098,909,929,849,772,761,668,005,572,062,619,545,860,858,547,428,017,
107,065,541,425,388,215,430,321,917,481,992,455,928,147,356,445,759,980,698,
013,775,333,643,707,197,159,041,652,325,662,561,684,893,343,361,492,375,012,
208,085,506,370,196,759,218,053,207,695,069,630,348,803,814,309,584,170,160,
217,225,981,447,556,347,503,908,356,912,839,941,965,790,080,090,615,991,024,
918,266,383,546,841,524,218,950,565,237,352,811,390,398,556,256,440,661,339,
405,272,930,328,475,096,684,767,796,498,844,125,146,345,224,610,424,759,236,
953,563,569,279,773,153,797,109,676,535,250,025,551,088,001,258,184,197,078,
258,007,179,479,495,598,471,638,181,543,131,953,733,368,538,491,053,821,712,
647,937,045,120,289,110,433,322,804,902,781,494,906,737,047,789,282,942,556,
245,366,411,533,281,906,651,156,915,185,263,928,278,477,621,489,943,700,642,
220,050,396,602,512,518,647,404,308,410,158,811,402,660,583,654,516,502,540,
865,930,450,984,080,147,120,327,829,003,875,158,383,584,574,653,926,767,754,
980,557,795,357,164,330,107,552,227,049,618,260,039,848,629,666,421,250,278,
979,911,620,059,578,499,844,874,188,997,112,982,215,160,751,531,104,579,383,
556,555,539,840,176,947,373,455,668,255,845,888,269,266,891,512,912,025,573,
691,347,125,425,268,150,125,382,520,076,431,382,530,457,495,002,055,850,845,
119,466,317,803,261,620,971,532,109,986,939,193,405,961,013,949,461,355,396,
492,181,194,383,758,013,371,548,487,858,926,810,443,497,191,747,629,917,740,
984,719,287,015,322,469,405,140,395,602,908,677,560,135,245,268,194,820,354,
044,696,998,072,374,627,043,191,347,334,338,697,685,197,081,398,158,203,000,
728,826,302,582,726,231,640,218,921,894,143,616,342,600,937,650,295,813,322,
474,629,575,700,445,958,246,855,306,579,299,783,328,643,756,800,265,345,190,
435,990,716,721,812,371,310,515,766,599,709,456,628,259,794,598,154,653,029,
509,209,697,982,775,929,683,239,309,888,868,187,122,778,182,916,525,088,808,
193,268,562,756,143,658,669,150,973,945,543,966,031,656,706,614,317,598,049,
505,746,611,646,617,844,048,929,909,841,813,774,016,201,262,132,448,084,328,
912,373,367,842,284,751,514,048,593,177,000,408,102,793,500,276,913,514,478,
242,111,723,871,936,143,838,090,914,886,944,215,624,402,755,399,333,971,032,
241,903,018,516,481,389,504,609,684,190,267,131,166,158,931,712,461,109,989,
695,610,086,251,190,559,046,976,137,792,962,400,122,143,658,489,593,390,858,
176,917,381,825,422,650,469,584,275,159,445,782,488,589,557,237,728,287,076,
406,964,949,068,807,067,348,140,734,489,199,011,833,130,748,918,907,438,834,
232,447,094,492,549,759,487,962,188,073,598,397,191,132,396,409,992,115,142,
567,832,749,680,828,007,757,671,796,860,759,250,677,196,495,876,897,150,280,
706,671,885,645,262,137,787,476,449,410,012,161,698,997,843,271,681,554,257,
992,110,067,131,578,183,551,476,259,397,408,901,724,686,449,662,788,135,327,
637,936,007,765,796,524,059,509,731,273,350,177,817,452,781,235,626,971,344,
498,924,460,913,794,232,838,219,228,707,004,789,077,164,970,807,596,591,192,
778,360,281,760,359,224,907,081,169,559,646,490,817,657,703,360,338,164,728,
641,106,559,943,328,960,468,813,680,062,801,933,548,199,359,320,835,163,609,
229,580,315,589,736,874,319,112,356,813,698,015,133,132,085,839,886,001,676,
095,984,144,039,531,311,014,873,932,713,307,436,089,841,525,778,272,873,346,
783,216,028,520,183,656,878,613,340,311,794,608,047,220,847,949,429,430,269,
627,591,462,928,696,509,628,304,666,670,712,169,443,146,133,097,347,721,955,
005,434,584,188,640,044,361,721,832,578,347,706,130,481,138,296,086,583,448,
845,116,618,844,351,127,266,661,843,299,496,298,671,644,100,465,841,619,193,
034,578,808,171,274,258,852,796,061,557,987,709,282,641,345,932,402,999,617,
790,358,585,535,454,902,426,765,614,611,568,180,302,497,475,352,584,998,685,
359,565,868,003,008,999,249,140,910,967,705,067,321,735,120,144,831,594,888,
826,513,415,692,413,935,822,773,585,170,685,279,683,220,927,732,473,614,532,
410,337,470,196,727,770,283,719,432,871,659,490,102,351,088,897,675,936,091,
018,581,927,546,188,461,092,054,646,385,177,017,603,941,360,420,016,227,661,
775,923,971,242,671,866,756,641,104,685,835,930,751,194,141,030,865,871,885,
524,314,021,221,456,419,911,726,941,216,907,864,780,382,838,361,034,265,867,
905,952,019,873,842,469,823,628,674,954,168,644,318,951,240,108,920,024,393,
858,170,141,147,952,550,514,192,898,065,182,529,055,369,096,680,488,344,369,
265,817,803,782,831,168,166,096,999,051,587,987,558,851,850,132,046,924,535,
028,942,206,784,258,295,395,834,753,433,592,109,925,384,003,517,359,898,085,
702,586,761,040,131,262,495,161,528,320,674,941,027,981,210,332,886,728,767,
146,852,373,072,935,943,705,938,297,938,930,700,109,898,525,584,111,675,648,
174,995,525,983,786,205,851,776,301,219,212,024,511,206,626,431,659,206,544,
963,953,188,515,729,736,051,527,683,231,694,409,678,836,135,528,522,355,910,
846,196,999,740,710,883,716,248,409,796,025,036,573,928,127,148,250,103,559,
602,870,113,182,194,840,110,445,873,005,301,632,364,837,630,408,883,751,064,
424,917,568,060,171,502,815,133,785,878,141,530,273,402,098,014,005,004,838,
988,181,900,145,213,209,184,635,218,868,164,780,187,104,956,680,144,120,220,
271,533,252,662,667,911,351,708,878,164,792,006,624,972,625,456,504,635,642,
888,064,507,075,343,840,643,051,409,770,785,875,851,952,822,479,958,760,572,
600,885,061,655,266,561,140,178,717,180,395,519,957,243,607,850,402,213,208,
129,360,403,950,835,347,958,125,959,755,511,899,809,761,828,037,336,689,983,
688,852,708,273,021,972,644,379,468,682,997,582,561,786,104,085,080,307,156,
752,833,863,300,660,459,808,649,951,564,946,758,081,531,715,387,301,447,788,
070,269,148,992,045,205,674,663,911,516,207,311,306,473,513,272,870,159,315,
076,523,614,935,577,707,938,638,778,489,430,818,047,328,515,319,796,087,467,
679,593,126,538,323,566,257,956,413,998,036,628,411,952,918,550,521,481,575,
118,970,584,649,551,922,397,182,391,252,434,858,893,895,736,581,510,462,525,
520,204,595,190,065,668,560,590,635,186,913,028,700,644,837,625,204,024,613,
938,940,580,778,996,393,269,997,011,675,945,185,350,070,985,395,242,408,244,
846,955,680,480,597,550,772,096,970,717,607,687,634,601,059,187,829,372,994,
237,572,646,191,696,494,908,601,247,834,098,622,929,310,720,486,912,392,333,
659,154,478,399,901,853,043,298,049,398,146,666,841,940,746,072,224,179,266,
037,871,974,946,696,341,484,705,169,885,464,222,677,941,007,955,739,465,667,
722,512,813,627,612,679,301,284,336,321,307,593,508,332,588,573,639,568,032,
157,767,700,172,909,518,990,613,384,172,815,914,055,998,354,734,086,245,652,
047,015,974,864,653,040,055,968,421,160,092,259,440,076,527,583,045,624,099,
192,637,589,854,825,884,051,741,861,507,492,560,449,797,980,187,691,762,894,
616,767,811,986,394,281,913,244,975,389,822,243,794,267,262,315,698,971,121,
562,084,369,204,623,368,273,740,232,256,636,457,757,763,849,598,303,794,935,
721,237,250,548,314,134,699,314,116,867,688,666,493,472,852,888,958,301,386,
556,791,342,716,010,317,123,269,361,641,890,463,342,654,510,992,017,754,673,
194,183,933,752,654,791,123,002,220,475,539,596,844,510,327,639,132,456,476,
746,137,375,375,358,104,988,634,753,760,204,172,933,704,717,409,347,078,007,
777,588,805,586,076,113,072,392,803,666,608,065,755,012,053,527,583,745,612,
312,365,870,072,617,261,693,539,085,775,132,610,078,933,476,944,909,895,428,
426,123,883,562,437,575,299,484,053,127,834,751,177,856,277,104,468,485,739,
892,009,148,915,276,391,325,855,885,565,980,073,583,547,224,110,992,774,880,
616,990,239,710,959,926,785,295,088,966,155,963,195,164,060,758,922,844,787,
162,233,821,292,468,846,015,943,023,168,997,755,556,623,867,904,754,703,849,
616,446,667,816,666,951,950,776,546,277,502,400,955,048,900,625,702,396,527,
610,416,182,812,301,534,226,280,866,386,392,566,289,502,750,722,321,573,574,
274,993,502,662,972,463,211,916,394,379,837,440,572,384,704,094,750,241,624,
859,425,879,611,107,464,243,777,836,596,798,679,061,597,851,249,840,417,847,
692,429,923,062,657,806,126,959,083,759,222,821,324,157,870,004,269,355,347,
507,972,715,333,970,884,821,947,431,385,752,664,593,199,925,401,006,517,154,
912,300,896,856,475,100,737,314,817,863,971,491,418,509,261,939,400,595,227,
668,118,038,226,099,723,796,026,605,918,395,487,668,058,674,020,762,511,614,
960,804,859,598,182,984,359,684,475,581,745,865,584,949,954,600,481,251,928,
339,503,006,112,678,498,774,280,836,972,275,699,614,259,146,133,335,984,890,
113,830,220,044,855,158,733,990,516,435,900,340,822,383,450,652,150,809,168,
488,590,473,476,357,783,858,762,013,751,214,980,500,522,313,458,785,035,823,
295,025,112,287,089,230,413,206,375,562,283,889,339,126,091,528,288,774,054,
197,517,944,346,367,722,882,190,914,696,999,209,725,841,176,819,760,127,723,
872,025,565,174,245,520,213,349,296,419,961,269,592,297,453,706,868,912,126,
756,172,668,410,680,347,100,436,144,729,127,510,580,731,465,028,987,254,175,
903,411,713,408,636,253,762,368,692,987,350,245,579,553,069,907,645,861,045,
347,692,072,645,615,874,251,831,810,084,473,585,045,172,949,490,130,500,393,
067,651,886,969,219,377,697,540,174,963,499,174,649,735,162,486,673,576,266,
815,841,375,251,231,361,501,426,201,415,076,387,652,877,469,765,668,898,890,
797,704,574,978,918,210,695,801,598,880,262,958,180,671,763,016,691,999,282,
650,894,009,785,716,145,141,831,505,680,336,189,309,439,808,420,461,515,127,
023,734,167,204,798,772,160,890,260,727,474,126,089,517,625,472,260,282,909,
340,799,839,456,733,248,685,102,744,619,979,375,084,560,953,010,996,783,609,
467,073,421,307,937,953,140,594,277,635,540,667,238,187,327,905,633,230,067,
911,991,352,181,274,479,512,190,066,685,938,779,020,947,458,100,628,570,908,
317,202,097,252,992,895,775,631,838,464,300,797,965,895,809,887,529,633,248,
463,586,994,647,954,308,408,061,029,539,229,259,145,020,537,906,106,250,131,
562,898,791,988,049,630,429,674,910,058,370,271,930,624,970,527,848,493,182,
937,823,483,547,928,184,147,208,200,044,243,729,394,609,542,874,083,968,281,
711,668,882,535,311,577,785,928,398,681,320,425,969,725,820,100,972,730,349,
509,344,323,465,459,560,183,657,832,530,832,053,047,503,625,925,187,953,634,
271,947,455,615,327,032,434,891,624,900,740,979,287,481,802,747,397,215,011,
346,450,807,758,222,643,691,461,434,926,004,650,806,334,945,521,292,192,995,
472,723,694,759,356,024,936,893,520,149,154,560,723,754,887,929,560,954,068,
065,519,864,491,507,917,545,277,869,859,530,123,656,291,110,677,903,455,507,
003,968,619,500,990,140,623,234,146,635,720,789,122,298,779,999,730,183,232,
627,718,182,149,998,036,245,185,704,306,705,168,114,830,350,164,548,198,950,
348,036,243,185,677,266,427,781,268,945,346,565,393,676,880,624,467,713,743,
262,655,990,158,882,591,894,929,530,337,241,921,470,942,016,247,632,362,856,
225,013,500,496,782,368,603,177,240,392,292,240,291,962,010,389,190,197,184,
677,686,999,005,571,246,065,202,388,786,448,030,045,667,243,833,463,838,766,
081,639,690,374,284,267,421,676,348,248,375,053,488,391,275,226,699,197,064,
901,590,721,235,144,235,168,414,467,198,187,152,283,893,135,892,448,770,641,
085,063,763,850,699,342,182,843,639,745,447,861,286,043,972,923,504,383,325,
867,569,698,651,739,301,600,249,789,013,379,906,914,784,169,842,381,809,331,
662,683,968,849,285,294,806,514,134,512,167,453,225,152,446,769,681,039,157,
462,300,990,236,761,640,035,853,066,909,368,619,618,341,193,145,632,915,683,
199,742,811,792,561,917,761,260,647,535,759,406,631,314,650,394,567,453,116,
578,537,919,012,688,840,787,450,836,472,007,460,717,443,852,121,020,209,257,
819,607,339,104,211,320,298,480,759,363,999,709,249,997,039,468,017,639,347,
267,367,811,642,049,806,752,325,118,469,493,342,135,509,689,954,969,039,223,
132,326,812,239,124,810,617,440,168,389,378,431,826,119,599,473,300,574,210,
180,585,009,917,953,823,496,236,613,328,027,926,891,840,736,313,456,883,253,
906,842,274,906,724,814,790,134,831,831,814,654,763,043,905,812,405,482,605,
826,663,166,197,729,217,924,362,694,794,482,198,651,069,178,140,104,842,407,
074,834,094,443,887,813,316,812,112,594,465,637,068,175,166,392,966,961,513,
124,438,929,674,816,182,357,487,030,930,640,167,978,551,606,265,072,607,183,
684,839,263,181,879,256,072,321,886,315,820,354,372,006,683,866,182,157,904,
895,084,314,664,213,430,091,179,068,034,319,305,021,736,170,606,838,146,624,
345,102,648,583,832,438,868,988,669,153,515,951,667,177,406,162,431,116,031,
528,101,278,152,152,352,457,891,892,525,077,629,049,106,653,993,485,407,395,
155,270,582,039,051,295,520,452,150,656,438,639,388,391,305,542,573,020,164,
405,862,998,796,748,110,136,469,576,508,892,864,522,422,210,190,012,139,571,
427,171,349,291,408,188,152,455,957,729,643,451,151,133,372,125,819,738,705,
277,949,886,149,085,628,152,332,369,046,391,181,020,549,912,835,120,786,829,
903,318,993,495,431,207,718,613,772,082,633,847,805,372,762,477,097,934,584,
305,853,833,104,878,986,411,632,985,042,856,795,985,146,150,382,531,803,893,
048,248,862,451,659,896,584,421,255,576,793,216,527,344,364,133,087,838,375,
616,994,222,750,966,896,136,046,071,393,718,368,731,169,288,604,123,325,137,
877,831,827,444,604,291,239,236,953,408,515,992,995,118,824,738,253,051,743,
719,548,604,138,822,770,820,949,972,509,110,541,491,156,962,399,983,901,356,
075,445,753,502,665,265,748,979,791,283,296,738,337,705,974,559,484,543,863,
067,183,765,104,173,668,904,605,748,771,988,495,531,963,259,497,308,961,023,
715,859,235,719,313,104,443,660,498,536,418,435,466,306,234,471,518,670,074,
119,299,394,407,658,947,588,660,138,879,951,303,670,934,614,056,006,941,674,
648,945,062,450,224,687,218,117,411,175,348,232,093,726,640,264,357,019,809,
643,830,649,363,864,350,900,330,723,630,114,889,371,904,160,744,735,565,037,
176,423,551,497,585,569,908,982,893,622,039,361,784,353,587,334,505,969,576,
514,381,776,231,262,257,688,646,658,060,440,117,951,089,201,233,467,260,954,
280,891,532,017,151,360,905,131,951,305,746,718,103,852,613,681,803,657,070,
780,819,268,939,363,303,836,277,106,111,959,209,778,822,254,653,875,511,633,
991,016,376,553,248,704,419,967,423,694,274,757,885,577,483,516,217,174,079,
565,002,893,693,506,765,096,191,180,514,975,781,250,739,280,429,758,932,243,
189,663,827,537,972,305,122,771,789,800,114,057,969,915,579,274,127,497,857,
011,637,540,636,390,450,066,475,721,953,856,080,738,038,691,459,511,593,621,
316,089,494,110,359,974,698,488,829,563,407,569,237,889,067,792,466,960,405,
963,179,028,473,204,484,271,357,345,665,794,800,431,782,903,745,307,860,371,
662,947,572,521,693,139,766,025,631,277,262,218,703,150,628,745,374,214,681,
313,764,233,313,820,979,906,823,562,249,314,517,447,057,096,062,137,857,444,
867,169,131,040,696,648,695,110,967,085,634,594,932,090,624,181,139,086,481,
090,971,150,133,320,252,407,375,496,198,129,909,668,024,897,655,004,747,012,
639,953,997,029,779,174,299,427,541,980,547,550,977,121,591,255,269,534,362,
727,942,086,223,553,258,748,227,625,636,448,459,267,164,803,161,799,018,822,
363,430,674,067,069,827,689,050,262,445,959,174,138,627,383,244,362,530,874,
564,217,386,574,616,771,148,494,023,811,290,252,876,175,015,561,715,264,270,
078,348,921,093,074,170,596,170,766,038,958,654,027,144,701,571,261,201,073,
458,928,438,429,780,554,758,860,277,324,446,114,657,137,286,217,525,897,002,
222,806,044,467,998,983,829,625,533,126,686,893,588,040,864,747,272,275,935,
501,853,018,209,608,791,646,402,995,075,328,005,276,323,307,327,914,998,097,
625,185,197,425,488,265,862,385,708,086,654,288,358,157,086,545,895,217,867,
175,661,105,002,626,830,064,319,420,000,980,803,595,515,726,939,353,239,583,
435,220,820,110,330,502,667,693,878,943,262,872,650,439,491,243,498,546,521,
918,172,767,541,497,396,885,725,576,622,211,949,479,156,313,233,021,174,553,
882,366,513,100,091,708,442,301,670,643,625,140,806,859,396,494,133,452,081,
345,424,049,014,174,570,694,078,641,841,920,743,876,239,628,476,771,547,497,
036,334,821,562,704,337,130,374,369,576,264,264,443,354,957,049,350,920,451,
963,055,352,186,482,969,715,457,013,434,857,944,925,221,696,245,169,557,034,
364,202,236,827,508,168,957,133,163,995,858,797,802,230,471,097,444,377,496,
857,549,970,105,752,483,262,041,091,310,926,113,082,726,447,612,012,059,963,
387,398,510,558,279,681,850,724,866,952,009,497,657,639,942,736,763,747,737,
535,190,988,497,331,202,298,228,790,428,006,713,182,838,119,583,901,543,157,
380,823,467,446,629,525,754,329,409,591,896,193,504,284,562,930,103,887,402,
578,064,131,882,345,282,023,355,533,401,145,380,915,398,853,676,753,627,250,
217,218,908,757,968,611,403,403,011,578,204,078,353,882,752,911,768,367,240,
251,420,065,576,496,405,215,787,005,553,598,384,962,041,398,884,838,006,669,
142,015,112,938,380,942,470,196,741,342,810,117,934,508,798,069,961,848,340,
019,867,463,772,562,096,033,046,987,026,613,680,933,541,823,154,462,175,909,
354,088,813,818,948,750,577,362,215,103,411,926,424,455,533,549,285,564,647,
232,416,191,479,130,848,535,035,821,079,634,295,365,471,397,365,783,734,729,
124,563,671,924,701,174,595,706,713,629,830,977,352,706,332,427,903,841,660,
316,928,078,661,919,587,537,145,497,963,851,710,255,039,036,464,785,335,592,
724,635,931,835,086,831,679,203,235,428,805,429,998,788,837,280,757,554,870,
174,195,442,552,909,235,835,191,169,544,692,532,226,545,835,306,852,832,606,
353,017,796,314,672,293,623,776,007,042,189,467,355,961,198,225,553,793,934,
317,128,964,131,928,157,007,935,099,874,111,331,046,425,872,218,266,759,115,
713,784,813,536,367,515,234,967,689,487,926,379,907,457,145,353,075,528,156,
174,981,830,460,801,859,428,249,744,990,449,151,842,803,710,701,984,888,851,
155,628,205,569,827,041,182,974,686,318,533,799,254,789,269,020,236,703,443,
492,247,626,157,789,900,084,962,778,543,733,196,560,894,224,406,192,436,784,
699,952,353,229,903,747,710,583,840,702,085,389,019,008,177,943,689,519,350,
822,064,853,084,963,339,644,765,708,299,875,153,134,512,945,032,731,235,365,
050,105,964,888,328,585,307,340,615,086,754,308,015,462,985,004,929,523,109,
971,032,401,476,295,662,100,932,466,088,155,976,893,586,338,291,193,590,994,
358,649,037,437,034,231,096,205,272,692,105,739,168,205,452,339,728,093,628,
094,550,219,080,081,154,963,470,244,394,820,222,930,617,300,307,459,408,106,
827,423,618,635,741,894,075,342,914,656,131,187,852,229,922,556,579,249,931,
276,532,333,489,459,959,378,006,540,827,457,449,341,974,576,283,814,924,060,
121,292,370,377,735,365,953,493,382,295,366,157,487,553,540,075,090,227,233,
616,074,025,721,810,829,878,932,910,657,233,256,861,876,084,387,261,370,318,
484,396,187,958,304,354,250,117,375,007,051,878,358,641,380,861,497,436,168,
642,762,955,643,235,132,285,273,705,210,120,663,252,517,541,586,546,777,048,
737,778,919,399,066,550,386,573,553,800,730,396,589,773,262,674,474,693,010,
341,187,540,522,117,998,559,974,825,819,991,975,240,383,885,049,684,012,198,
489,711,592,151,261,387,153,171,685,118,064,503,438,575,064,757,750,742,195,
116,715,883,147,131,746,680,378,360,339,553,404,917,166,589,744,579,561,601,
245,197,686,100,206,038,644,319,852,321,959,175,008,486,241,594,053,123,280,
392,126,832,748,640,583,191,786,206,262,244,830,998,967,746,790,034,150,246,
213,978,869,511,625,859,477,991,934,490,950,042,431,308,292,216,726,244,454,
019,300,051,153,998,465,064,943,006,158,768,299,023,632,196,629,987,658,512,
672,975,830,315,677,110,702,125,196,809,557,939,800,198,616,838,591,342,303,
682,486,584,465,663,778,722,114,024,981,537,378,530,540,514,937,510,005,362,
422,356,012,934,678,582,491,985,892,569,787,683,341,226,153,793,262,753,586,
772,653,281,415,770,902,857,877,364,987,174,496,504,648,047,538,311,859,865,
262,176,621,386,542,477,099,874,430,966,350,892,602,805,823,415,686,241,076,
722,525,975,101,842,668,479,256,031,901,245,559,237,314,440,433,684,195,214,
775,307,391,927,668,765,793,701,378,608,000,007,267,056,336,184,040,344,416,
498,665,058,756,302,663,324,577,316,449,280,571,249,309,858,915,464,057,537,
810,469,037,722,916,001,716,670,478,982,553,283,755,571,231,916,960,334,323,
312,996,941,200,265,242,057,032,825,731,266,131,207,948,500,900,914,337,928,
641,718,678,142,286,188,642,987,545,802,009,808,489,140,530,814,069,142,609,
367,765,122,486,954,709,510,013,886,805,540,075,944,198,877,505,671,356,808,
354,887,054,160,601,326,739,727,393,275,906,830,148,322,115,577,012,365,293,
246,615,413,615,354,981,741,090,317,890,365,059,162,623,058,579,169,652,287,
495,374,064,870,463,134,861,653,573,536,530,677,104,211,565,348,418,698,381,
953,911,499,755,844,324,097,465,456,160,358,215,557,230,601,800,702,503,220,
885,967,821,249,410,458,147,968,148,126,339,366,339,321,942,877,326,344,184,
760,269,967,483,779,524,931,040,298,342,308,235,196,588,808,867,769,556,466,
365,085,329,654,538,143,314,892,651,161,082,756,710,483,804,773,943,108,746,
476,886,754,222,439,506,364,687,235,118,781,575,768,026,390,388,083,485,291,
267,145,770,330,931,120,552,729,026,063,424,152,600,855,553,639,991,234,631,
362,639,769,100,046,410,160,110,380,549,499,062,749,270,626,091,322,204,513,
414,819,007,238,309,246,566,546,370,738,021,501,424,138,311,185,790,904,747,
305,831,896,922,790,321,189,519,454,211,564,526,574,746,600,298,510,667,082,
350,722,226,139,664,544,523,721,860,975,787,330,396,845,787,500,844,505,307,
454,957,484,388,591,925,009,930,023,273,161,079,752,773,168,972,510,165,271,
258,361,687,574,484,250,833,751,157,550,289,811,643,040,777,358,798,220,055,
492,049,775,615,387,209,345,182,518,060,946,296,759,283,331,504,908,040,780,
012,069,082,143,746,139,054,777,499,559,781,936,663,476,610,415,286,938,828,
364,991,312,790,951,291,059,684,368,215,856,673,524,814,793,571,136,784,125,
834,089,787,788,274,407,072,099,041,074,547,521,123,922,396,856,467,306,388,
260,281,710,737,679,244,814,081,639,980,292,762,633,758,701,007,508,615,268,
492,167,956,370,805,255,257,968,115,210,094,882,319,765,213,115,001,143,839,
012,171,940,278,087,308,869,689,610,907,582,979,003,178,486,619,937,873,592,
937,605,423,794,658,367,941,407,577,799,279,945,998,070,561,023,179,445,374,
287,766,184,162,179,004,615,502,267,301,473,347,109,540,625,337,784,331,170,
534,037,383,585,418,181,851,795,368,169,470,484,367,037,706,468,200,324,555,
888,281,223,006,143,540,831,652,480,228,948,530,994,086,797,584,292,300,784,
991,858,531,133,906,074,374,447,539,685,644,468,512,401,528,300,880,692,562,
116,866,100,629,000,932,996,271,337,425,831,820,583,428,908,842,077,108,319,
767,057,545,537,221,617,835,440,676,420,392,700,972,487,744,610,180,241,154,
972,998,408,153,909,798,514,253,000,766,576,909,342,251,288,644,350,847,250,
851,729,371,147,578,964,420,278,352,845,078,172,863,145,640,523,652,279,961,
159,683,560,958,411,660,216,709,855,153,528,367,502,529,969,175,245,859,665,
350,478,288,880,686,295,826,247,311,176,821,934,778,551,500,049,884,202,661,
769,630,522,161,002,790,244,864,039,688,385,126,558,048,994,153,179,507,830,
602,687,819,480,398,994,167,631,984,759,200,519,815,254,384,334,397,321,736,
605,059,456,267,826,385,377,585,967,085,217,546,378,008,125,027,980,776,993,
387,339,795,543,096,270,213,326,862,750,193,347,995,797,375,172,458,829,594,
097,228,327,978,927,280,645,958,699,341,776,258,195,727,407,996,387,721,675,
971,769,814,810,872,881,600,763,575,506,656,205,726,025,412,609,134,823,335,
197,632,317,529,010,577,168,863,699,009,822,080,522,444,461,844,465,057,297,
403,772,815,910,006,625,407,331,104,564,903,615,274,004,916,003,402,443,349,
140,227,468,989,329,554,447,256,041,660,722,475,693,721,459,983,463,777,067,
779,603,972,929,202,966,676,812,386,144,224,401,007,301,923,495,800,756,787,
515,099,528,305,164,057,220,860,737,746,943,632,612,777,822,281,731,340,496,
331,267,987,998,224,617,890,278,340,056,894,946,085,052,602,926,471,473,369,
826,627,775,324,407,110,794,217,758,457,831,410,069,731,398,844,416,073,694,
578,311,060,545,144,259,725,125,534,512,061,918,265,847,878,365,954,959,804,
091,191,971,555,374,692,264,831,560,269,014,608,150,208,958,534,506,038,076,
845,365,964,704,101,993,380,747,235,847,805,798,053,552,637,178,779,025,757,
124,105,028,639,011,726,540,272,750,215,937,878,958,694,687,871,114,569,455,
271,486,761,259,487,487,817,963,810,634,884,233,279,388,044,201,276,738,414,
289,986,155,999,611,139,199,635,053,584,971,204,346,591,511,549,198,995,116,
519,360,609,865,516,746,359,071,152,054,203,444,092,593,787,702,895,473,611,
522,530,916,135,902,524,671,855,859,420,374,197,625,465,408,564,874,140,158,
657,642,175,852,348,741,582,924,312,359,248,485,609,785,839,040,096,664,448,
457,390,147,932,769,030,696,541,600,655,749,058,065,782,303,998,113,453,520,
956,012,998,179,410,994,151,378,340,246,101,643,555,940,263,314,746,851,253,
120,373,820,567,578,538,765,207,470,239,684,599,427,432,012,815,958,794,684,
557,369,540,587,323,850,335,600,400,951,360,503,261,131,942,713,606,463,014,
138,558,627,088,172,064,910,565,650,137,183,309,303,652,650,861,884,861,278,
427,295,123,673,513,523,288,703,239,215,910,221,789,946,048,802,198,454,803,
663,911,115,869,744,534,675,934,645,018,290,307,122,302,861,802,042,517,136,
767,955,891,192,717,548,731,573,710,014,390,525,102,844,644,252,584,811,676,
868,729,989,607,550,850,829,227,964,331,125,642,399,395,154,568,946,452,135,
321,028,512,570,439,646,391,497,801,567,016,822,184,911,424,582,290,821,582,
834,982,095,899,436,624,367,793,352,022,780,263,334,278,739,881,014,067,514,
769,887,345,928,084,979,006,528,619,237,611,884,955,136,933,948,417,402,246,
037,098,009,310,764,892,168,383,378,062,728,500,447,352,927,605,234,191,908,
514,555,890,837,511,436,626,950,547,354,727,088,322,282,612,576,816,090,085,
221,458,671,267,593,228,159,037,439,351,234,144,456,164,264,281,645,787,912,
322,821,732,516,208,239,023,802,193,036,704,076,652,947,422,808,357,509,302,
687,604,490,353,766,919,180,944,808,814,163,096,251,513,959,611,152,992,365,
791,244,450,422,095,473,184,386,818,662,674,756,746,504,951,016,961,234,476,
187,450,560,389,736,191,556,567,076,605,179,755,683,937,486,639,014,188,556,
026,858,294,080,535,920,362,154,583,233,112,534,940,255,794,500,486,261,980,
054,239,084,898,000,220,910,913,269,383,754,887,504,035,611,498,367,389,252,
668,707,785,176,860,603,359,502,673,751,433,340,089,554,348,519,854,360,769,
894,237,823,900,342,489,171,911,205,555,565,907,039,097,072,926,267,845,904,
497,814,176,361,006,514,710,878,861,086,081,753,011,269,269,167,811,590,761,
968,894,763,972,897,238,150,700,767,509,497,410,654,565,573,471,570,629,561,
208,293,362,070,524,775,867,497,319,353,592,957,947,772,144,794,164,330,415,
758,468,911,481,127,604,980,409,458,448,564,877,452,005,935,412,554,034,605,
647,118,682,367,778,979,424,862,271,168,051,464,946,192,121,179,029,165,452,
160,213,288,900,660,540,005,961,217,102,928,213,284,216,388,215,549,360,963,
996,816,110,494,687,409,992,712,147,396,499,055,640,648,951,876,001,588,100,
739,977,373,386,299,750,271,658,887,703,430,414,958,311,799,365,586,945,839,
742,573,613,107,902,156,824,411,303,207,882,284,804,263,471,810,778,132,774,
697,057,874,838,696,315,197,872,474,884,177,013,190,404,727,429,473,386,659,
859,253,580,650,401,156,747,267,335,731,407,440,169,952,098,430,596,003,073,
960,317,491,101,140,941,209,699,146,769,763,547,135,076,541,557,909,382,210,
883,665,800,028,098,617,759,539,588,787,847,365,043,859,215,375,586,798,000,
872,261,761,169,463,289,631,378,844,934,604,644,930,719,629,109,948,962,131,
199,082,557,348,358,988,005,871,900,875,008,605,556,169,277,028,044,642,013,
516,059,120,949,342,451,991,377,206,921,479,196,175,276,012,128,598,124,107,
199,402,178,245,102,550,017,493,036,445,595,785,297,616,875,247,198,353,029,
985,094,923,288,744,018,670,169,957,751,530,044,545,023,723,126,224,224,625,
787,124,176,080,848,893,067,187,261,344,929,829,393,333,199,013,840,344,615,
846,676,974,752,723,974,948,196,790,217,040,210,116,169,866,481,509,945,980,
990,881,248,118,326,736,414,881,949,454,503,132,053,981,864,601,585,121,652,
360,649,121,731,803,164,785,548,772,792,123,007,435,870,770,600,324,111,829,
814,882,365,541,900,161,384,377,455,708,263,760,298,666,731,960,948,081,513,
796,802,220,369,438,990,313,087,105,901,796,197,393,610,712,421,260,793,236,
446,173,117,846,185,069,662,743,717,797,848,280,354,843,916,604,404,432,701,
031,499,480,758,929,817,656,571,699,662,008,849,266,080,622,859,124,700,762,
610,766,693,209,433,997,559,296,379,123,940,139,897,010,337,820,077,652,828,
858,489,584,998,078,603,070,851,466,196,329,198,715,842,721,485,082,970,501,
096,028,530,419,396,011,925,924,411,135,971,311,873,371,059,341,513,083,549,
283,171,979,528,637,455,387,240,193,913,534,458,215,655,487,548,595,506,418,
228,234,110,063,292,852,522,922,471,026,539,992,300,073,880,281,460,826,997,
848,536,696,746,181,501,908,936,344,055,792,147,250,426,750,851,574,322,058,
894,675,313,144,933,972,261,847,801,708,010,656,546,038,084,185,740,074,727,
879,929,090,138,436,156,312,560,249,364,448,215,483,159,559,023,816,841,215,
130,202,901,571,423,287,109,534,975,437,360,339,262,150,934,005,843,541,047,
499,664,194,365,964,733,828,533,969,682,980,462,159,340,420,304,154,638,440,
960,596,403,771,281,692,145,482,882,110,889,879,650,770,500,848,746,033,499,
032,435,033,219,394,271,912,244,188,515,262,245,772,095,311,642,464,906,532,
915,605,619,592,653,856,020,478,789,702,494,665,121,011,258,041,973,160,078,
539,994,664,945,042,865,669,342,576,757,717,659,264,644,865,558,033,058,754,
511,848,635,840,091,014,042,771,692,198,044,219,698,218,901,462,080,326,372,
511,502,099,336,858,479,076,677,779,155,587,754,479,634,925,382,336,224,453,
076,024,955,138,984,479,117,348,196,812,542,631,528,899,489,102,097,229,368,
776,833,854,357,322,950,491,521,909,888,831,798,534,011,119,560,933,180,026,
314,795,338,950,901,784,587,840,760,745,320,488,015,698,529,433,981,328,306,
032,046,842,033,403,800,424,424,021,511,249,878,705,017,876,789,581,581,040,
402,802,265,388,844,393,433,384,724,660,628,560,810,325,042,407,964,374,893,
106,399,936,542,818,311,707,121,223,016,787,671,093,627,345,706,120,796,329,
337,020,627,408,289,654,111,238,970,710,584,394,661,000,753,942,716,862,608,
925,370,073,292,766,384,472,378,752,155,200,327,841,513,510,521,499,408,512,
060,036,347,251,478,625,177,781,463,315,520,486,578,374,552,431,081,446,470,
521,864,503,923,896,110,189,730,664,314,085,873,462,296,682,485,516,380,420,
472,493,190,637,360,970,910,550,878,640,922,235,859,455,840,659,242,378,306,
026,404,259,482,892,350,182,470,428,340,309,401,063,147,882,005,961,968,805,
229,992,531,550,742,950,506,471,834,495,960,277,175,644,034,606,558,266,435,
324,236,750,470,061,064,954,401,756,127,565,368,503,871,781,811,154,860,145,
828,349,770,534,747,624,877,587,922,865,373,920,309,389,546,579,332,031,080,
571,781,462,971,396,572,190,610,293,018,697,282,786,890,351,697,388,599,991,
417,528,842,293,004,445,812,372,980,653,821,301,479,284,120,963,138,189,427,
523,079,816,662,953,411,645,905,292,633,488,452,809,904,356,411,899,796,517,
041,823,723,773,831,953,369,991,445,829,508,881,749,022,382,940,693,184,692,
411,764,951,168,733,915,125,409,168,885,038,696,445,065,417,401,291,942,574,
700,966,790,352,981,692,425,385,730,380,569,499,062,482,708,928,136,370,525,
771,886,384,382,153,864,982,303,863,991,128,789,708,553,746,133,596,491,544,
555,356,468,071,168,992,198,488,419,553,752,972,160,292,300,094,919,255,356,
559,102,826,994,414,296,796,254,935,887,764,563,277,897,660,598,685,715,574,
657,069,390,140,127,983,280,334,037,170,087,196,515,180,414,409,474,346,673,
438,511,247,783,840,301,985,617,323,763,895,498,579,191,934,053,568,853,385,
259,830,839,295,321,957,667,460,418,038,888,788,173,749,753,217,812,198,045,
012,553,383,562,647,161,390,121,492,809,752,627,696,146,770,404,814,246,817,
632,516,586,842,441,292,797,491,755,434,834,040,505,816,903,625,994,415,423,
471,498,006,388,112,660,725,549,563,556,877,176,617,077,264,507,329,928,793,
424,564,652,226,227,235,562,867,029,588,413,114,118,637,046,643,462,471,782,
252,600,604,565,221,602,620,669,164,189,163,515,184,869,482,616,130,409,697,
600,776,144,948,757,699,779,832,750,526,554,349,343,030,116,424,403,624,230,
645,335,006,638,195,001,328,423,431,658,804,573,357,954,219,722,071,819,702,
983,071,077,113,738,051,454,136,073,780,596,030,724,722,384,836,234,960,043,
574,198,287,014,578,254,813,804,214,909,031,819,345,881,229,017,072,421,775,
197,489,051,953,408,668,199,816,181,849,783,066,364,765,541,508,740,636,357,
343,925,779,729,517,599,839,918,846,132,502,873,244,331,860,488,839,977,997,
164,126,940,269,250,797,240,046,422,230,921,240,698,633,516,044,371,902,318,
261,375,706,145,314,240,104,959,238,118,586,127,150,556,953,320,626,415,737,
516,307,341,637,400,283,061,866,635,590,166,423,386,686,311,063,742,711,134,
803,955,526,264,416,735,279,686,299,412,939,757,712,933,622,446,679,494,187,
268,601,310,527,104,539,835,986,593,437,144,580,879,816,510,414,557,464,439,
202,925,368,322,123,735,018,198,260,672,215,899,669,239,246,211,294,678,661,
899,632,499,282,058,316,427,167,104,063,675,640,961,979,163,706,121,970,511,
824,546,613,272,538,836,640,371,781,543,595,977,676,674,625,465,579,667,640,
884,991,007,658,132,049,011,632,457,162,377,137,143,096,705,248,830,174,553,
905,258,972,088,664,586,794,319,396,384,476,330,784,997,132,767,801,267,373,
604,112,413,651,495,000,661,672,348,302,485,590,968,650,618,490,885,683,603,
412,146,150,107,127,247,657,334,952,914,217,287,778,118,830,370,364,305,789,
486,983,531,830,030,052,656,931,097,108,941,449,863,752,712,381,890,765,841,
488,139,034,156,181,708,158,145,770,442,663,916,358,003,880,404,613,327,457,
695,577,256,989,047,077,397,556,734,382,151,108,044,110,605,370,312,818,612,
776,129,634,507,994,502,558,781,790,928,005,004,971,307,346,858,794,866,591,
396,684,389,462,844,013,098,060,794,493,930,467,907,292,325,686,277,024,382,
984,723,284,630,260,045,535,935,233,925,252,358,115,468,263,766,821,854,961,
394,491,754,721,906,541,175,256,790,106,277,219,696,132,862,832,773,785,733,
959,880,845,480,405,233,847,278,344,501,880,641,671,384,222,322,927,492,149,
188,711,237,859,536,787,722,534,413,379,211,115,244,012,309,194,922,440,748,
758,920,886,128,808,667,603,235,523,248,767,378,942,265,646,076,941,973,123,
612,199,345,731,607,498,513,041,316,431,077,985,028,238,187,514,368,314,242,
148,583,684,904,934,106,326,207,546,674,404,577,125,538,072,296,627,362,121,
080,238,785,300,234,345,300,872,370,554,822,889,987,105,813,018,605,442,111,
089,028,513,583,520,063,568,629,944,372,978,283,513,107,726,758,538,715,256,
389,008,314,063,056,742,778,379,776,117,144,571,004,454,610,213,689,268,036,
765,501,780,203,270,133,796,529,956,751,760,595,819,050,972,250,686,759,620,
451,265,508,962,112,284,127,042,502,381,179,176,001,829,515,683,730,352,347,
436,632,565,941,650,191,249,205,945,369,764,738,801,777,290,371,904,115,003,
374,784,674,586,594,280,340,582,150,799,848,922,279,941,844,936,060,333,026,
818,013,597,856,880,600,884,344,297,581,197,383,986,659,564,155,999,282,747,
028,307,039,615,726,342,802,024,008,243,202,911,820,709,786,922,633,049,237,
941,147,640,008,471,873,253,691,285,517,437,470,610,348,636,343,901,509,076,
542,014,801,697,803,769,079,268,962,507,450,782,610,604,626,055,858,550,451,
520,508,312,921,247,313,817,153,414,983,983,030,461,124,213,175,139,414,226,
984,451,577,746,368,646,229,441,739,548,862,293,089,662,587,493,494,618,216,
244,169,951,815,500,928,005,877,574,683,584,687,969,588,180,723,579,053,747,
631,983,389,140,565,629,082,886,097,104,903,814,040,788,416,150,093,586,285,
426,023,798,759,764,881,415,783,581,123,654,080,944,934,334,632,756,633,670,
973,380,153,250,749,394,468,825,289,820,443,672,410,745,338,431,004,980,249,
110,424,324,665,962,470,330,986,805,069,321,793,525,575,944,092,763,353,419,
947,745,938,824,397,875,468,079,405,551,158,346,985,806,538,726,387,430,229,
381,443,322,631,259,619,320,484,026,185,397,406,635,480,511,620,825,777,222,
857,987,969,922,767,958,973,675,662,067,799,322,308,708,307,475,297,960,694,
103,161,473,419,944,720,744,527,812,433,690,210,586,322,984,505,099,587,751,
272,561,203,180,313,209,466,397,158,094,478,766,728,829,122,347,354,243,162,
466,321,362,875,053,363,741,733,755,136,431,636,228,682,477,204,073,227,154,
762,848,544,379,014,720,460,148,895,960,802,155,671,735,731,843,333,275,046,
784,046,523,850,702,300,490,953,781,181,831,081,984,860,967,000,451,895,666,
311,368,679,262,922,118,479,463,217,626,709,094,184,865,992,902,532,870,070,
440,507,420,726,868,124,753,503,994,678,650,030,939,831,179,227,662,379,017,
273,054,232,892,244,539,291,250,070,935,557,990,262,403,465,243,647,042,156,
507,137,187,039,865,585,809,902,033,880,093,652,191,464,455,386,171,463,069,
098,877,591,753,756,049,884,098,847,189,440,268,920,641,188,686,620,225,006,
647,494,857,989,520,001,810,075,545,387,356,024,107,986,955,442,210,070,626,
747,251,764,296,961,359,934,822,728,859,383,090,023,381,324,171,694,262,329,
458,304,626,216,730,487,405,250,493,461,520,588,781,962,486,142,431,587,957,
643,326,660,595,946,149,032,538,564,157,427,604,783,263,461,680,209,196,395,
629,946,188,382,960,631,554,719,135,538,720,564,585,196,955,390,653,532,915,
227,313,107,931,798,605,164,159,873,922,251,261,987,214,549,796,046,864,012,
651,201,666,560,450,625,437,205,899,512,452,800,151,488,761,559,609,668,017,
593,613,200,693,664,512,547,414,986,517,929,001,838,587,854,394,164,438,029,
563,760,390,824,135,986,977,597,597,606,950,672,709,412,845,992,438,929,842,
903,751,364,889,414,914,492,364,053,221,226,021,648,031,133,473,823,392,399,
807,151,163,080,313,844,887,623,929,338,312,733,875,346,765,965,797,866,204,
915,036,705,731,900,959,895,965,820,460,978,464,043,035,322,770,652,103,972,
292,478,497,582,074,139,498,081,122,192,959,216,151,110,757,371,059,807,590,
982,962,208,345,639,794,499,377,010,382,429,292,291,462,025,337,389,407,768,
408,222,763,761,747,753,295,268,411,046,614,552,301,863,730,406,754,160,249,
840,539,125,403,622,788,608,617,018,278,870,252,292,479,784,445,470,830,877,
594,487,321,768,169,681,279,977,937,222,417,250,784,967,482,980,165,466,822,
635,123,380,990,790,926,755,449,502,935,735,454,826,748,291,106,433,361,204,
945,488,590,719,375,995,359,086,318,116,824,869,108,476,775,830,736,618,465,
294,979,723,865,846,058,378,153,800,056,613,015,227,955,962,459,348,821,026,
477,107,497,720,977,393,972,033,831,229,811,335,553,570,370,013,276,627,483,
907,198,522,618,108,416,886,787,808,400,101,527,239,875,615,910,363,856,797,
821,186,595,675,210,673,849,694,658,655,152,944,970,391,084,179,970,936,698,
419,035,181,782,743,492,072,117,122,645,405,410,037,098,011,796,530,884,094,
793,440,834,241,487,569,798,346,124,951,145,296,202,258,026,153,945,149,241,
590,842,474,916,923,167,383,734,595,762,447,779,039,979,516,265,659,752,242,
026,731,263,398,622,876,660,054,989,548,999,469,370,007,846,385,132,394,386,
349,302,875,917,337,504,741,833,306,811,318,495,774,324,790,239,719,487,078,
927,033,883,456,901,658,517,714,323,847,311,027,744,395,440,027,764,772,525,
352,030,719,733,184,785,805,037,886,859,993,582,339,626,284,174,063,888,734,
784,704,959,598,300,791,248,481,446,698,379,651,094,642,385,246,586,404,571,
608,144,553,757,843,958,191,174,597,186,523,513,782,819,808,797,231,442,803,
545,662,269,764,880,594,288,811,904,669,107,434,426,903,333,094,913,916,365,
275,787,929,443,832,649,622,435,835,712,776,742,751,014,677,309,206,937,351,
591,580,047,490,790,719,792,631,250,358,194,919,937,361,517,658,372,983,429,
389,914,345,321,061,854,492,117,356,364,318,896,650,839,889,446,949,562,462,
089,949,562,092,722,143,901,928,283,458,152,764,994,007,952,448,970,377,059,
988,404,010,810,155,199,807,835,126,401,601,898,425,611,231,599,706,829,768,
340,599,341,063,520,578,425,346,810,684,287,235,946,364,815,856,688,177,980,
526,405,727,033,389,845,388,701,082,241,216,486,793,352,954,024,152,403,235,
348,574,644,148,883,887,893,950,564,322,107,581,751,426,993,615,832,341,869,
232,322,268,377,476,594,650,577,691,923,249,028,980,409,183,442,507,877,453,
453,307,561,231,846,959,482,128,140,877,015,513,814,720,570,280,997,193,067,
812,415,113,418,878,008,834,518,218,946,883,248,917,134,148,861,766,179,095,
071,559,617,547,689,263,801,283,047,726,231,182,064,957,574,579,785,084,812,
162,574,866,359,846,697,589,298,562,562,968,716,845,826,262,446,912,841,590,
831,944,984,948,884,832,531,342,258,058,383,892,022,080,780,871,424,480,439,
136,870,295,242,119,574,494,301,140,683,827,152,178,916,600,754,831,098,142,
688,416,315,972,680,363,214,435,302,292,795,695,351,498,574,305,811,535,826,
361,747,103,176,234,657,164,963,571,886,566,164,555,848,771,307,166,006,201,
846,806,897,470,723,250,635,927,504,983,452,749,427,552,745,688,513,728,709,
954,529,302,142,701,335,876,598,165,668,531,824,890,670,377,899,694,623,656,
248,520,773,764,377,245,994,548,329,177,103,821,448,208,929,330,797,022,100,
243,555,346,730,538,082,758,310,558,090,824,616,357,003,760,600,612,162,268,
110,511,962,953,618,488,740,005,599,004,325,620,914,502,127,586,076,458,127,
666,098,540,289,881,120,546,828,823,726,664,037,427,033,314,233,786,214,107,
304,838,864,860,602,379,959,034,911,852,297,108,131,633,123,571,106,432,496,
262,102,404,038,462,559,599,576,521,677,744,146,131,155,418,810,395,535,465,
888,152,981,410,562,283,157,353,169,009,381,610,184,103,825,218,794,018,836,
129,208,905,084,150,948,996,106,589,952,397,103,251,067,633,087,538,902,305,
683,020,493,073,458,613,659,012,495,758,991,463,524,307,347,609,301,327,952,
201,233,442,152,743,617,965,987,752,990,817,117,105,034,673,468,847,193,993,
850,586,996,551,082,968,749,114,979,282,306,106,691,471,414,787,044,032,741,
744,934,687,673,059,912,851,039,995,117,645,459,635,714,315,891,254,045,540,
106,983,734,238,808,734,680,798,699,070,518,037,773,574,656,503,157,673,319,
889,720,517,590,705,234,134,261,635,123,738,867,198,157,325,425,160,721,258,
875,428,834,236,318,413,263,798,684,582,297,523,619,739,295,502,118,180,104,
842,703,231,926,025,976,288,243,593,008,420,933,400,725,108,377,000,709,341,
552,757,852,491,167,031,161,175,541,297,255,197,335,194,549,056,377,196,390,
957,753,058,903,894,871,856,891,608,760,480,844,084,108,079,591,987,229,319,
265,605,888,228,028,655,418,684,681,623,587,435,975,405,272,428,574,446,027,
294,227,062,310,771,152,513,910,958,522,648,761,315,578,021,837,087,651,159,
437,053,034,057,324,770,565,114,210,970,281,821,363,522,672,269,633,844,891,
313,897,488,618,216,661,624,608,075,399,037,508,313,570,224,779,874,689,054,
727,431,753,327,738,949,053,109,843,902,462,745,504,798,411,458,474,625,163,
365,583,125,431,409,603,466,960,729,752,632,954,258,593,299,471,826,231,595,
246,277,827,931,891,345,151,934,819,679,376,085,910,666,108,893,966,715,921,
624,664,766,326,925,930,166,928,667,045,936,410,074,615,772,785,095,111,607,
362,089,141,900,907,785,858,041,153,556,683,465,425,035,602,553,700,759,253,
040,997,962,632,680,105,850,294,551,524,032,877,967,219,030,321,896,389,013,
595,042,201,261,420,238,665,787,222,420,606,709,629,862,683,991,739,051,829,
122,785,998,017,559,397,666,028,500,446,725,628,858,405,631,335,992,329,347,
156,915,615,003,845,542,089,704,799,087,088,610,334,106,947,253,316,586,451,
232,494,719,774,042,603,542,843,696,879,514,023,473,586,147,718,117,163,998,
828,908,217,577,760,056,912,307,614,072,450,748,453,828,482,501,294,342,413,
115,026,222,854,599,984,233,126,717,778,575,690,624,118,711,887,735,646,180,
049,955,644,680,453,662,061,528,305,960,552,357,373,113,684,916,482,897,510,
332,809,805,600,746,368,683,891,011,779,681,818,679,993,305,671,325,730,818,
726,066,483,475,264,949,728,882,902,463,158,229,031,082,325,456,070,166,073,
721,653,707,516,070,193,687,380,143,552,261,145,903,320,808,505,371,554,941,
244,099,074,566,132,939,319,121,263,774,503,072,592,004,650,561,246,268,848,
450,068,371,747,237,403,054,556,637,006,464,253,698,869,187,866,331,963,248,
259,230,028,732,862,266,490,283,428,898,737,838,247,641,910,563,514,936,632,
216,678,609,168,386,420,131,219,828,045,674,368,358,545,047,973,060,845,651,
934,249,477,906,545,285,186,344,109,520,158,760,388,913,332,542,576,228,645,
957,249,297,300,252,675,144,229,879,347,022,127,058,824,935,497,148,252,673,
180,407,041,396,060,436,525,526,473,760,990,703,051,921,018,851,041,958,593,
476,393,408,087,381,772,495,787,473,306,047,343,720,206,297,740,864,485,872,
141,722,869,200,115,071,407,506,376,673,172,684,607,600,315,747,584,760,051,
538,426,676,210,341,983,134,944,068,634,547,875,563,820,206,247,937,118,765,
729,354,065,387,858,614,399,405,754,682,738,367,874,098,376,618,804,556,816,
945,020,011,786,737,946,327,260,087,856,622,210,764,367,158,023,655,923,655,
603,543,686,606,017,311,020,571,932,457,992,816,107,278,850,317,683,302,134,
365,847,799,090,246,579,324,621,245,758,807,714,576,771,002,473,752,478,159,
565,493,633,596,899,698,136,558,652,041,955,503,620,371,398,977,567,944,069,
741,423,837,956,690,716,955,606,702,975,500,619,457,077,161,935,568,739,709,
029,660,344,401,936,939,785,983,172,894,783,310,107,920,446,674,619,318,041,
167,335,384,629,474,994,515,262,070,939,269,471,908,336,110,818,128,268,171,
487,830,422,559,938,052,267,438,872,664,093,341,987,890,055,512,634,099,209,
287,570,653,944,402,349,648,969,856,135,781,207,505,615,969,447,317,892,203,
889,970,494,638,544,241,703,722,853,029,356,547,643,546,345,244,274,331,200,
991,858,632,813,778,822,150,341,443,433,375,664,757,498,075,304,109,915,633,
872,218,810,142,576,183,310,523,230,817,814,251,604,677,919,695,512,517,301,
646,284,878,803,463,812,256,915,742,987,101,270,338,788,050,851,611,369,522,
151,646,664,328,346,760,867,184,650,205,811,311,030,858,405,611,307,407,801,
089,401,107,592,550,764,867,196,353,337,145,217,264,404,647,615,554,803,558,
316,981,054,339,466,560,140,083,378,417,083,778,462,056,730,505,679,843,844,
930,053,789,426,123,650,395,789,777,767,876,662,118,361,858,625,476,988,117,
313,092,201,567,249,771,910,930,790,376,381,291,877,366,217,415,617,654,777,
775,158,165,778,342,833,366,095,899,992,827,581,086,423,733,283,250,037,325,
404,152,832,493,361,936,442,559,452,254,480,086,946,018,858,370,672,283,175,
085,939,490,315,178,621,317,082,450,822,098,435,701,379,760,352,465,889,815,
343,359,056,307,022,858,475,906,494,436,968,401,483,305,222,286,222,029,334,
272,346,285,955,223,525,845,749,790,089,759,914,959,563,976,235,511,010,501,
668,972,454,528,310,770,617,493,692,238,058,571,821,386,850,243,371,152,308,
626,536,367,876,455,741,382,410,665,467,382,748,669,579,781,521,656,900,887,
106,833,564,516,027,809,551,928,538,735,020,643,640,178,280,122,019,008,587,
356,352,416,958,042,134,683,157,682,524,105,571,069,423,221,858,841,885,062,
354,968,532,318,281,621,292,959,670,165,308,077,388,835,469,263,937,732,762,
018,163,539,300,390,058,694,460,351,158,968,738,183,078,659,404,016,752,878,
537,644,908,801,827,554,939,460,864,987,368,455,278,506,928,127,097,730,793,
455,801,444,595,963,305,143,873,672,192,794,969,386,099,478,358,204,534,790,
886,836,032,998,961,170,733,019,179,569,293,181,145,498,594,890,468,285,676,
306,706,295,256,336,747,892,425,762,638,082,260,661,044,330,965,846,314,855,
251,266,915,694,300,746,980,499,598,263,649,532,532,614,317,665,901,551,445,
100,691,203,328,833,784,062,781,685,749,172,165,948,289,337,277,058,391,361,
140,396,083,233,009,574,401,154,695,386,634,170,822,350,646,673,114,025,824,
175,508,683,303,957,638,338,723,978,957,674,920,613,347,383,463,606,058,263,
454,292,092,042,833,211,713,862,707,346,264,809,859,676,610,087,590,209,373,
005,896,982,534,946,325,793,557,872,944,270,098,922,349,345,267,478,514,774,
214,134,947,591,336,987,751,077,714,276,820,527,770,068,981,305,271,733,841,
891,549,790,694,132,828,164,512,365,556,701,880,443,504,477,414,259,080,029,
340,032,626,213,115,764,104,605,516,090,273,692,499,663,613,683,197,936,502,
402,399,108,766,914,556,455,776,526,913,563,973,422,986,049,701,594,601,984,
152,815,957,724,043,821,808,339,910,195,785,989,873,702,176,960,783,320,845,
360,998,624,298,948,136,753,685,299,419,542,057,341,053,155,596,201,326,722,
212,403,865,984,349,960,737,353,800,594,371,228,041,069,734,278,186,004,325,
605,499,069,299,835,891,563,642,340,385,013,003,953,709,474,352,478,923,470,
371,731,880,566,025,713,265,635,923,632,461,571,721,805,183,990,275,065,864,
589,815,751,885,083,854,584,842,731,814,017,939,887,796,073,474,508,104,433,
990,675,352,406,697,781,361,023,792,388,843,596,475,395,086,296,902,970,913,
191,325,946,354,358,188,006,807,093,545,202,417,844,481,000,735,221,445,171,
268,265,815,121,579,605,485,992,380,396,377,401,899,238,387,471,339,273,081,
223,331,688,912,159,291,937,415,005,018,367,268,476,802,912,314,990,187,486,
921,541,610,905,117,450,311,256,917,927,495,810,467,607,972,598,831,352,526,
297,833,032,096,910,251,210,687,211,433,515,898,504,863,040,511,029,423,675,
537,731,587,904,176,631,414,584,336,970,719,976,409,452,715,320,733,038,823,
578,903,000,712,943,722,304,087,136,793,430,888,951,660,691,381,420,006,509,
608,100,505,428,644,204,709,188,774,591,746,837,793,851,212,026,047,797,201,
507,457,980,306,529,373,328,202,226,396,187,107,123,700,843,137,777,499,816,
996,248,411,063,065,555,036,239,283,254,904,721,288,919,853,630,073,817,246,
706,153,843,094,936,117,617,566,087,705,378,871,774,063,716,991,401,741,124,
263,724,849,561,618,190,465,148,251,726,595,248,706,628,027,631,652,727,684,
551,433,222,793,366,255,458,324,517,647,007,929,254,167,469,545,016,662,366,
097,767,641,834,026,235,719,955,246,204,348,539,135,076,604,865,045,070,959,
879,197,057,119,510,704,071,537,718,199,433,586,962,788,779,451,243,295,654,
410,163,514,794,212,926,511,898,090,143,369,894,654,564,766,899,723,677,773,
834,504,685,655,144,269,126,999,290,544,094,181,947,313,387,901,785,544,706,
663,329,367,225,823,188,230,461,726,954,349,139,686,916,855,327,832,103,303,
317,791,629,288,388,099,478,908,616,561,124,895,942,777,260,820,790,730,097,
895,291,479,714,958,333,952,781,873,314,846,464,233,182,466,820,773,835,843,
488,520,728,309,117,126,955,540,998,071,411,258,315,038,341,455,669,659,319,
677,467,544,264,818,142,740,202,849,898,955,907,101,536,758,668,542,495,196,
287,289,348,616,015,540,125,689,500,613,101,963,588,104,403,161,599,098,557,
435,100,548,844,171,151,814,788,395,357,959,025,776,453,665,847,339,951,005,
345,452,650,499,510,365,031,882,636,875,069,631,780,067,641,660,668,029,269,
862,732,311,498,926,745,304,776,784,343,715,928,995,547,396,049,710,216,853,
895,451,285,985,666,810,646,238,328,374,774,597,073,355,522,634,250,453,807,
167,301,930,325,009,583,140,583,171,914,322,005,236,270,547,216,257,132,169,
085,876,192,875,371,940,359,948,341,581,011,453,979,608,050,730,102,976,266,
029,409,731,960,873,759,500,527,219,186,335,963,510,237,876,122,932,923,232,
542,749,146,610,085,968,706,815,246,706,623,234,612,759,982,093,691,305,096,
819,830,897,371,621,795,460,894,433,133,924,962,792,315,612,690,956,078,348,
212,121,710,222,806,913,178,484,746,408,293,738,792,232,617,157,372,428,982,
172,900,485,016,982,382,289,826,812,929,851,026,586,589,067,949,746,571,333,
906,925,303,636,359,380,106,216,479,153,609,763,485,286,016,139,372,856,145,
535,227,909,410,050,965,135,010,551,944,039,750,058,632,656,849,123,305,849,
677,617,353,605,360,058,042,145,190,644,649,617,951,126,797,548,433,144,718,
169,129,211,980,831,819,901,674,911,992,280,583,333,475,404,513,671,674,698,
452,486,526,098,663,421,835,513,721,261,839,163,343,316,821,786,390,905,268,
255,701,731,622,602,273,670,992,381,435,258,181,170,058,681,060,210,118,040,
057,939,273,765,261,558,710,226,390,618,395,113,777,511,161,352,491,684,192,
546,755,225,589,526,316,313,026,155,106,482,554,781,017,637,850,681,850,262,
796,355,978,269,488,245,165,840,349,990,350,329,710,518,493,755,033,881,254,
199,298,786,795,682,245,947,948,399,055,545,197,071,429,558,148,651,823,822,
419,812,376,109,293,982,597,048,922,160,947,627,190,401,685,250,463,337,193,
760,013,931,662,548,437,835,941,177,463,757,489,327,189,252,858,724,793,369,
602,116,562,676,114,022,634,348,833,154,355,302,178,833,578,684,114,736,513,
042,934,301,775,574,132,401,298,441,127,089,963,880,537,563,816,644,059,790,
596,813,476,291,846,813,172,262,870,749,669,392,563,600,403,357,701,985,271,
100,607,742,382,891,571,777,907,609,686,059,782,869,564,935,768,631,431,558,
937,510,891,498,421,034,047,385,411,494,411,640,226,501,763,160,168,486,029,
689,307,924,808,100,398,891,406,167,225,437,513,091,333,166,670,371,045,608,
690,306,507,728,799,701,738,179,768,735,112,646,434,454,598,628,560,060,940,
341,594,786,743,527,775,888,101,655,498,517,124,518,508,182,603,757,435,337,
624,023,948,176,343,018,941,287,423,059,650,601,490,274,008,925,265,065,092,
419,994,078,277,364,938,359,829,715,031,245,214,231,256,973,257,219,896,711,
701,689,976,415,026,978,621,442,071,559,336,799,058,851,026,641,050,053,102,
292,356,643,737,060,341,654,031,484,264,747,278,935,552,431,276,312,709,798,
846,557,191,254,471,528,140,007,933,442,129,283,832,025,082,882,378,047,323,
857,938,452,170,553,612,804,390,758,312,980,705,033,288,989,490,534,476,166,
273,209,837,202,156,526,160,704,509,353,071,890,278,430,703,744,930,207,305,
591,672,114,332,176,336,083,214,149,398,557,046,563,557,213,004,572,397,846,
261,544,228,862,890,460,538,049,110,692,080,012,682,839,005,944,053,463,900,
049,428,760,462,006,162,357,099,529,457,102,887,582,388,055,766,349,044,464,
697,924,598,858,278,910,568,357,101,281,507,550,233,852,515,087,525,746,881,
201,232,215,642,266,439,690,627,510,061,587,251,397,836,840,134,021,323,054,
563,051,973,630,916,147,313,691,676,359,464,103,662,370,608,817,034,412,644,
967,553,464,167,621,531,619,400,843,407,285,397,713,416,738,488,454,479,006,
261,028,430,609,025,621,580,728,028,573,234,956,755,683,708,839,982,661,765,
842,079,729,507,491,856,997,983,620,760,423,748,083,508,688,636,384,849,570,
353,308,927,682,929,403,620,469,485,641,187,120,262,526,020,977,500,213,787,
465,907,290,382,967,830,334,487,594,921,964,278,465,441,972,206,384,329,364,
964,567,707,764,417,687,069,460,326,399,455,813,446,196,009,743,545,630,511,
748,204,720,826,679,663,803,779,615,381,756,294,991,213,841,666,932,441,320,
814,750,485,227,206,172,495,245,304,171,033,546,830,340,495,282,465,419,932,
457,424,471,710,355,839,257,840,725,363,146,868,860,118,932,475,555,400,229,
462,170,029,962,154,378,239,043,876,023,584,375,765,589,597,795,445,620,310,
613,140,681,494,075,530,478,467,406,998,169,099,309,351,385,445,882,002,467,
654,363,132,473,280,911,731,825,463,938,927,368,906,045,917,631,219,987,142,
679,879,037,167,591,203,762,176,420,682,005,632,207,825,220,066,271,969,175,
039,597,374,239,807,412,923,567,756,704,232,818,023,062,074,672,599,282,486,
274,755,382,011,944,238,712,305,884,143,542,432,368,290,471,774,190,795,159,
360,178,139,110,600,395,285,372,897,145,063,418,070,991,167,476,845,562,821,
630,701,146,147,872,106,156,247,040,857,327,785,067,801,424,364,084,105,372,
284,935,381,016,428,201,919,636,602,112,388,522,522,872,676,652,042,307,414,
148,949,908,591,811,047,422,640,126,391,431,801,897,854,441,360,710,122,567,
946,673,405,139,615,137,511,433,048,447,004,721,419,021,454,456,052,354,449,
424,731,460,016,008,888,318,514,452,637,247,616,635,744,924,999,875,901,413,
624,140,816,546,903,969,496,340,926,879,744,254,299,980,136,843,395,731,688,
312,547,671,855,415,400,877,614,595,476,806,532,742,227,068,333,468,802,534,
166,240,641,562,194,048,167,449,005,685,022,328,149,260,341,092,365,042,860,
050,675,804,110,549,040,868,769,017,299,831,772,055,427,395,116,734,414,092,
903,234,531,676,469,989,013,454,516,124,230,119,504,148,759,140,183,134,893,
664,321,314,275,140,989,483,027,604,598,755,655,936,505,977,267,394,400,945,
383,143,829,873,734,872,802,011,578,016,508,896,872,213,086,043,982,820,592,
574,170,293,849,099,664,403,192,165,737,753,263,092,738,196,046,184,735,463,
924,794,753,420,796,334,866,489,905,030,754,216,042,802,434,558,088,983,862,
760,988,107,009,749,760,611,608,994,845,669,750,704,433,179,256,702,779,752,
480,773,169,983,227,957,802,867,003,907,214,750,635,544,506,421,917,709,681,
282,414,053,712,365,549,638,032,154,618,093,411,173,995,421,129,292,673,414,
074,786,584,457,458,952,825,428,433,322,201,453,144,968,196,158,373,203,747,
980,575,802,545,188,508,969,789,034,841,727,018,141,322,815,716,226,721,585,
618,901,479,328,166,775,839,554,154,712,179,880,475,297,740,424,893,545,955,
650,614,506,899,593,132,946,906,136,818,176,079,855,820,588,161,364,584,621,
696,152,658,169,172,120,922,703,151,606,578,845,710,751,767,325,956,663,807,
862,152,884,463,546,435,154,160,964,411,201,845,601,665,029,170,877,979,833,
515,861,123,368,718,904,117,485,286,554,488,764,364,976,182,533,208,896,240,
770,415,745,148,698,090,835,116,619,908,786,369,440,965,424,394,590,430,855,
982,105,771,267,606,364,839,205,974,258,895,626,266,046,369,351,099,613,850,
691,264,545,160,324,307,800,633,533,496,522,442,794,567,463,918,876,374,544,
840,543,420,263,736,353,347,280,213,610,208,030,243,349,543,247,662,830,543,
166,367,908,135,893,451,001,424,786,829,767,417,463,081,454,290,927,454,345,
337,023,806,404,927,456,303,049,910,435,850,422,696,438,291,025,210,096,218,
311,189,373,604,032,773,469,244,569,164,202,193,480,765,450,938,786,859,904,
019,384,475,438,873,773,190,944,160,899,314,767,021,075,856,644,777,836,267,
933,274,575,150,038,934,187,923,131,652,053,211,901,547,690,720,008,233,994,
840,197,924,799,282,636,790,230,273,455,728,868,663,455,985,069,348,539,087,
291,924,985,692,709,090,748,674,532,147,028,343,213,902,456,130,248,868,303,
858,807,953,272,762,507,858,414,539,755,509,661,001,473,849,082,944,067,620,
496,980,971,869,621,692,678,455,082,349,999,222,537,481,108,580,741,088,591,
216,866,329,594,044,180,786,257,416,966,878,962,487,062,746,963,612,117,098,
585,480,545,265,483,959,821,463,465,296,366,524,523,264,626,503,811,614,136,
769,876,828,439,606,329,352,124,959,054,262,345,660,977,358,493,453,775,772,
374,367,957,735,320,180,696,792,109,967,227,513,032,518,270,327,572,827,401,
567,361,233,182,160,822,424,362,322,105,516,633,282,728,713,466,036,842,040,
624,297,824,245,668,004,946,844,697,975,926,784,357,513,308,252,106,227,789,
977,477,759,230,711,119,392,703,697,095,306,948,262,987,381,014,425,613,119,
236,627,758,198,579,688,438,034,011,177,206,073,729,207,125,931,545,883,433,
737,393,752,568,744,318,519,160,362,284,339,405,306,512,813,838,389,564,677,
298,491,561,766,981,764,667,906,674,724,814,510,948,093,908,671,191,005,404,
901,156,761,449,444,922,818,136,743,525,996,510,423,537,064,913,942,513,486,
360,307,172,575,895,910,113,425,360,505,763,353,822,311,698,929,038,476,166,
601,684,117,405,186,530,340,991,599,489,946,950,522,253,828,025,523,263,051,
870,377,547,469,037,116,448,995,670,859,894,517,851,374,744,358,320,506,832,
734,414,917,545,776,005,652,742,403,885,110,690,998,323,486,898,504,840,412,
387,874,254,357,990,404,936,673,133,511,485,992,538,000,072,108,384,127,757,
752,729,350,905,943,077,602,841,412,471,756,306,945,490,198,391,543,621,518,
113,653,803,581,465,996,289,848,773,577,688,318,309,133,859,269,871,766,440,
192,186,403,054,820,080,541,937,850,317,387,965,510,793,638,417,950,946,467,
244,611,291,013,723,552,847,771,000,021,589,714,839,555,319,816,113,494,651,
103,626,634,321,710,755,351,132,399,069,007,895,203,860,563,604,548,366,562,
716,115,006,191,338,412,169,666,315,223,020,089,532,289,443,606,576,757,941,
775,368,943,092,811,369,650,940,088,558,640,138,263,361,789,978,216,000,371,
392,542,321,401,278,398,978,621,927,283,924,831,906,695,602,969,926,424,378,
372,231,715,934,656,602,672,874,957,595,603,705,758,654,806,272,645,107,266,
737,079,887,576,842,387,085,668,795,657,534,832,530,739,677,569,755,335,097,
657,276,900,692,739,611,299,199,017,184,960,855,845,260,839,399,484,093,546,
881,847,913,570,175,394,110,541,968,458,610,440,560,434,314,581,677,699,612,
662,361,788,623,540,313,956,584,353,570,458,609,847,575,162,588,440,223,593,
497,619,931,713,194,681,357,263,287,446,852,892,618,951,714,791,103,361,757,
382,889,872,897,683,701,698,879,272,983,195,239,094,003,526,643,321,031,808,
939,058,213,936,507,045,103,942,058,904,923,291,727,054,342,687,630,578,535,
025,520,828,811,382,595,496,887,953,088,956,407,280,809,654,384,218,680,291,
273,679,767,443,641,026,984,419,149,928,422,669,830,164,935,417,136,034,940,
658,969,698,453,670,730,428,030,541,458,419,219,472,560,758,574,109,696,534,
631,672,590,524,924,628,204,012,243,923,555,161,121,077,490,610,751,406,606,
359,050,209,627,254,434,709,015,335,405,100,742,249,496,836,795,520,654,948,
359,191,983,417,204,212,672,885,652,893,966,086,728,457,718,511,146,344,467,
409,919,328,063,261,839,525,201,657,576,015,277,223,804,991,040,771,645,935,
876,810,565,318,787,054,960,980,133,944,476,362,850,646,682,169,408,546,069,
150,987,522,467,952,709,307,361,232,799,388,416,390,724,181,422,505,451,800,
295,179,138,147,627,997,415,951,695,843,343,155,411,003,766,859,408,606,386,
330,353,153,928,213,304,856,041,349,853,098,261,299,721,517,669,331,067,108,
284,837,180,778,465,520,951,172,924,670,565,431,333,871,472,386,780,635,950,
957,753,096,456,404,302,373,245,610,952,658,168,881,015,614,559,632,914,548,
006,681,111,563,366,166,285,191,768,452,913,448,336,913,556,829,793,590,512,
499,244,500,668,566,447,158,391,637,795,071,533,038,646,065,676,183,245,656,
513,667,090,320,695,352,774,751,978,864,026,440,632,120,721,398,020,582,997,
402,136,686,318,404,534,812,274,617,875,522,345,317,524,912,559,566,657,200,
996,338,765,759,878,747,616,388,099,793,281,164,643,340,061,342,855,996,265,
131,499,384,126,166,805,774,148,941,042,539,205,030,108,717,365,171,072,888,
951,738,933,173,083,454,943,357,819,330,749,263,025,443,988,731,998,283,826,
555,736,594,656,023,899,083,512,485,654,170,042,001,369,324,972,330,429,246,
923,589,452,998,148,635,862,561,508,545,778,663,649,581,080,503,981,881,296,
308,259,295,434,870,707,524,551,183,970,302,196,108,138,397,137,564,101,384,
715,632,010,396,112,913,010,236,294,549,438,568,363,327,360,064,592,102,485,
257,425,277,416,219,908,757,150,313,872,766,081,555,780,737,578,177,740,180,
709,306,075,274,198,520,874,802,852,811,393,311,232,186,700,983,043,312,141,
208,092,026,635,238,780,570,496,683,850,359,192,774,828,398,273,027,821,002,
915,970,855,387,301,623,345,317,435,932,965,164,572,313,608,920,143,929,194,
181,206,122,339,029,442,817,031,026,223,641,248,102,375,086,449,275,813,636,
560,418,350,578,134,480,218,498,888,544,054,805,173,081,803,335,993,001,283,
770,938,102,934,843,836,990,721,171,066,528,734,896,728,744,168,545,714,379,
655,105,036,345,690,633,772,376,186,638,040,999,437,814,748,402,680,022,333,
047,682,686,029,164,438,173,454,368,430,122,888,924,662,330,316,742,756,565,
418,424,702,265,358,756,143,343,058,611,165,936,363,428,262,136,204,762,042,
989,724,543,626,888,043,929,118,874,733,063,301,132,578,313,560,876,590,368,
297,512,841,399,321,312,117,031,020,798,093,287,206,969,605,079,267,266,232,
571,593,216,876,946,703,072,744,649,634,790,929,625,640,456,268,909,293,642,
786,094,575,849,999,257,915,146,928,769,278,241,467,869,139,681,557,571,725,
324,629,704,364,034,298,751,967,639,360,299,427,801,542,602,897,519,362,553,
414,274,155,239,650,726,319,979,143,360,962,915,142,923,131,988,628,199,157,
102,718,666,172,096,875,794,832,759,411,092,517,874,219,450,094,100,095,803,
346,889,157,231,343,710,807,407,507,886,392,585,306,160,772,287,296,372,348,
907,378,136,541,079,112,473,220,954,879,786,353,620,396,386,644,184,304,481,
780,895,063,461,330,393,594,785,542,606,849,450,263,825,512,990,977,068,168,
691,906,769,305,525,949,979,355,155,530,727,636,368,878,499,096,781,991,705,
379,250,112,100,759,383,310,550,665,134,190,468,662,907,941,321,266,772,692,
920,435,263,273,723,248,534,011,749,769,114,346,694,906,909,075,663,361,642,
331,938,956,347,004,904,510,929,287,027,748,791,813,948,981,105,551,448,426,
823,753,922,497,836,747,616,904,147,666,775,738,995,951,968,112,309,723,315,
970,763,527,887,851,256,966,577,750,468,600,804,808,610,244,806,863,004,013,
269,668,550,211,916,824,085,964,881,867,651,289,427,185,423,206,116,656,162,
808,103,983,597,786,848,004,583,294,353,117,500,395,860,915,890,488,470,922,
196,519,911,558,957,686,835,637,495,278,849,592,836,841,777,320,559,882,133,
134,915,740,134,209,607,201,452,673,736,542,770,892,317,130,744,917,851,873,
018,547,030,186,260,339,136,751,161,525,829,044,473,999,872,823,226,877,610,
058,881,024,250,531,022,124,150,725,683,240,940,217,440,231,525,453,910,185,
525,510,630,139,652,620,363,476,342,997,969,702,767,594,398,198,087,005,834,
256,646,335,140,642,668,512,346,237,737,756,195,218,353,281,390,662,206,975,
631,656,236,832,296,867,642,939,318,615,997,246,543,049,207,785,325,759,568,
475,533,478,171,487,819,585,402,132,677,160,243,270,807,824,469,072,704,706,
600,262,556,138,648,914,961,428,814,938,253,953,461,234,585,397,603,339,678,
141,573,381,927,820,388,373,430,455,909,835,104,813,444,244,491,937,059,790,
328,985,580,978,838,118,842,301,610,783,726,678,938,930,714,400,691,785,380,
637,900,549,945,389,406,665,143,503,185,033,395,245,993,195,176,435,855,498,
770,729,443,002,988,695,555,296,912,845,805,851,474,035,269,226,628,125,167,
998,040,525,582,122,048,118,846,240,432,166,085,091,048,865,823,694,103,272,
394,597,837,166,236,544,680,438,714,195,753,729,534,219,962,827,588,657,762,
357,285,730,971,139,863,742,918,802,262,142,258,530,653,859,773,268,504,486,
712,094,146,567,269,192,579,825,710,742,170,867,047,503,944,564,301,229,058,
607,866,067,079,381,025,952,015,484,058,178,651,940,419,358,329,821,785,937,
859,580,317,878,153,857,459,936,085,203,846,626,017,256,454,848,665,771,835,
089,475,930,430,283,070,817,133,695,988,128,658,121,572,011,944,727,792,368,
509,271,548,451,028,859,745,005,577,342,239,784,946,217,187,058,564,140,735,
188,100,475,761,137,015,744,617,295,016,265,349,668,360,097,687,491,415,848,
096,557,340,074,678,263,116,806,230,070,351,983,255,694,738,492,581,307,421,
247,748,856,892,804,437,016,366,658,501,496,314,290,583,010,873,376,439,824,
304,065,163,522,794,787,930,272,000,604,305,614,271,573,827,877,538,544,461,
242,521,687,259,956,133,660,419,014,558,475,862,234,613,552,459,811,716,892,
714,644,464,326,472,610,681,264,892,912,695,020,360,736,369,643,664,404,974,
765,058,805,258,817,212,180,002,346,674,827,273,540,692,916,195,977,901,514,
035,807,177,206,695,556,446,335,916,416,900,474,699,765,169,612,736,805,174,
183,862,194,119,426,028,157,529,631,684,692,823,239,108,961,388,825,951,058,
660,837,413,073,820,723,851,002,628,281,286,468,833,518,164,844,498,060,664,
111,210,516,276,646,095,472,357,835,446,395,399,243,436,154,331,325,417,575,
028,507,380,980,865,330,099,591,975,398,933,103,525,392,028,013,326,090,336,
520,459,338,459,173,152,901,416,650,237,450,536,495,509,001,951,519,503,161,
063,601,156,307,675,424,090,999,886,794,834,655,082,475,010,317,242,897,138,
251,456,936,438,766,533,994,819,803,118,171,188,573,126,000,836,334,011,584,
176,147,950,236,069,538,667,880,143,374,681,440,767,109,520,971,093,870,549,
816,980,162,011,459,844,280,711,643,306,495,111,957,344,264,260,035,105,685,
377,346,606,780,657,380,969,902,520,544,749,915,573,618,086,856,002,467,821,
542,012,122,892,567,369,464,983,400,730,894,147,796,548,859,261,802,298,258,
906,768,783,523,758,453,376,853,937,908,033,814,573,547,041,976,769,807,784,
656,814,496,131,453,864,476,870,788,787,779,346,455,189,993,448,403,178,871,
733,747,280,406,382,923,733,218,042,237,998,023,923,782,913,803,067,192,538,
468,951,136,397,414,612,724,240,016,249,229,241,014,042,357,526,057,874,704,
324,916,790,993,365,010,025,416,810,157,429,998,122,384,620,874,900,017,459,
128,390,576,054,768,201,069,707,572,432,312,172,388,949,669,572,953,431,900,
619,531,041,519,772,140,768,157,450,692,913,852,079,667,920,156,913,128,122,
610,663,768,993,205,787,666,192,258,585,629,916,489,814,123,972,438,247,960,
971,774,142,465,446,243,729,467,532,426,849,553,982,042,310,992,635,021,820,
725,300,647,952,323,433,615,501,142,433,493,350,151,670,118,512,073,170,728,
255,513,459,422,389,968,152,196,907,670,034,537,079,975,920,811,921,507,306,
979,826,707,746,305,486,177,895,497,619,473,908,861,083,165,458,508,025,429,
927,333,739,532,869,687,240,435,623,122,458,260,106,199,473,175,301,964,293,
586,327,773,403,403,372,071,946,884,399,661,168,813,867,461,064,830,919,947,
166,078,313,592,888,833,094,195,863,328,418,824,803,854,734,997,722,804,300,
213,193,763,650,782,248,817,684,219,322,675,419,431,182,531,517,380,246,592,
683,279,286,922,927,173,870,925,182,060,823,491,430,842,162,764,071,329,750,
466,853,257,817,469,946,638,120,864,212,028,290,310,826,000,797,213,859,457,
167,639,719,354,442,359,407,716,860,319,294,225,549,469,020,889,625,681,738,
151,520,026,429,522,786,067,018,147,156,664,847,845,183,756,134,069,499,170,
508,373,572,724,366,560,184,617,397,132,247,110,111,969,645,570,436,319,064,
958,224,535,147,168,200,965,168,021,229,704,075,023,036,905,158,563,830,940,
683,227,604,602,321,035,039,980,270,938,827,065,329,083,859,848,980,423,111,
951,659,712,786,451,282,810,160,312,863,717,775,234,706,723,436,801,638,865,
239,501,164,848,401,254,649,981,305,260,006,786,427,618,318,514,091,953,232,
575,586,675,693,571,461,535,079,783,942,724,867,317,750,328,261,017,852,649,
183,539,434,001,548,204,239,307,692,266,206,047,075,507,789,081,881,195,333,
404,773,671,714,719,777,793,266,301,575,190,382,305,076,117,690,246,823,865,
363,277,948,576,985,514,854,221,542,315,396,589,421,221,547,048,537,067,423,
326,368,787,336,735,149,488,147,827,576,481,180,468,858,714,503,355,765,973,
666,297,259,191,237,053,229,983,189,547,444,151,395,009,997,905,946,935,625,
127,278,878,934,116,047,023,099,323,831,680,638,798,580,910,619,579,423,525,
094,738,761,425,962,170,640,688,049,762,399,696,966,382,926,189,433,503,862,
143,366,653,886,904,344,123,266,411,719,103,030,824,731,136,376,062,132,189,
822,830,093,206,146,689,049,212,996,925,234,829,504,328,485,925,474,716,820,
919,476,489,435,482,535,036,606,861,534,626,580,831,432,762,041,717,518,016,
163,129,463,769,453,837,289,058,974,838,865,452,115,000,988,737,520,568,464,
981,895,086,846,388,987,221,895,131,826,274,447,331,630,848,519,610,219,807,
080,773,334,825,569,987,668,913,028,316,563,047,161,879,108,395,991,230,879,
970,144,756,172,484,339,651,235,039,260,930,967,647,232,948,023,754,903,592,
503,504,791,648,840,765,768,024,765,472,729,930,952,521,558,130,611,863,376,
724,621,721,572,374,554,319,873,397,736,270,554,387,636,475,421,895,604,125,
360,794,832,198,087,330,170,661,864,906,308,901,039,811,705,406,715,794,248,
381,491,355,829,917,233,723,254,680,032,946,245,364,954,859,242,991,915,112,
019,678,743,175,122,537,328,480,752,268,698,329,988,284,736,654,824,083,229,
668,545,431,912,750,390,172,350,946,085,761,164,949,476,766,212,545,801,468,
996,312,987,196,456,004,095,065,739,879,881,964,558,510,834,910,517,896,057,
859,296,115,971,617,849,426,179,826,367,436,614,687,828,326,269,946,570,189,
561,149,662,513,791,498,612,298,369,164,905,065,561,343,896,077,999,894,333,
027,661,420,817,715,727,077,382,523,625,386,838,020,791,959,380,019,876,310,
790,069,446,721,308,694,048,794,183,359,975,529,456,038,693,620,106,483,752,
867,646,654,061,707,304,705,968,627,371,265,927,186,606,510,621,322,706,580,
550,805,968,416,074,088,747,923,502,043,652,110,744,425,761,003,262,581,966,
826,933,016,007,597,912,920,433,883,853,025,034,257,461,461,229,279,421,696,
990,557,825,008,895,587,149,436,835,852,416,299,402,101,738,981,668,015,210,
306,539,895,208,226,237,989,800,782,557,694,055,174,517,633,843,391,933,712,
299,815,678,460,798,543,481,794,714,647,663,001,013,972,705,160,475,053,610,
834,936,899,773,018,097,810,232,665,056,118,278,272,522,677,612,273,531,951,
588,822,493,033,386,307,552,959,618,332,892,142,597,902,981,795,545,373,656,
096,906,685,650,631,078,711,498,692,344,010,428,264,953,887,181,023,837,274,
004,065,059,574,604,874,252,820,629,070,583,357,893,564,564,197,204,104,865,
478,380,390,688,424,324,575,384,344,444,211,486,902,933,257,082,613,277,879,
177,413,736,214,822,207,341,224,640,760,520,093,824,925,046,922,148,513,744,
418,307,810,893,864,285,049,620,576,595,322,902,759,232,727,863,211,833,462,
257,027,419,654,712,126,425,843,667,557,870,451,173,860,360,692,676,055,860,
990,694,156,369,771,625,476,118,550,249,655,714,185,641,228,527,038,433,306,
723,107,451,980,694,476,998,060,595,387,218,795,119,934,115,846,723,687,450,
040,842,172,845,620,988,450,607,010,593,513,979,729,096,043,923,129,475,401,
484,965,446,181,829,992,526,976,523,882,898,925,742,819,444,218,782,131,799,
047,433,556,901,138,780,571,298,271,647,896,866,313,593,557,810,627,560,729,
705,272,412,854,334,002,791,719,848,062,364,899,911,679,713,869,475,237,982,
358,958,348,396,883,568,668,038,583,281,605,531,021,776,803,813,196,736,876,
415,870,865,467,477,654,215,265,776,050,607,520,458,851,660,555,761,300,437,
851,857,660,799,074,709,955,359,347,914,995,462,676,374,692,180,461,011,375,
012,992,261,806,331,089,621,039,524,335,816,794,067,940,282,570,865,330,658,
107,464,741,163,954,544,673,054,871,247,449,174,630,090,867,294,988,400,956,
004,258,551,544,451,270,511,043,721,576,655,380,958,870,989,474,292,220,365,
290,363,441,824,146,122,181,708,472,113,296,266,737,136,387,088,850,633,132,
168,266,546,040,304,178,950,368,096,218,119,790,157,507,286,130,506,707,325,
828,565,445,603,183,252,624,926,425,393,243,453,642,249,869,072,096,130,634,
323,889,794,151,100,105,053,707,318,139,208,665,573,939,152,894,175,243,619,
497,875,279,404,070,669,616,300,527,175,495,705,145,330,070,680,632,773,694,
190,257,050,818,108,957,426,793,954,489,652,907,438,382,300,518,635,814,898,
341,083,712,805,818,822,380,218,945,931,446,766,445,217,931,912,642,894,413,
534,074,886,354,665,183,192,508,160,645,090,287,439,551,893,572,304,521,188,
486,952,698,877,288,988,307,810,623,896,857,079,502,878,075,058,734,776,210,
224,889,359,808,265,798,354,510,945,007,455,077,220,772,027,933,022,290,294,
905,223,228,156,460,062,925,469,803,679,293,457,807,548,915,266,744,070,663,
777,919,744,149,006,250,441,263,044,341,143,381,632,706,822,596,720,877,760,
673,719,762,034,019,015,575,230,656,174,103,237,674,824,009,256,943,793,734,
187,643,185,383,768,278,825,592,101,092,014,092,571,476,828,398,559,887,601,
567,328,662,353,957,560,731,592,073,824,184,854,217,123,854,299,443,545,647,
284,899,678,983,966,027,671,902,797,837,573,355,569,044,487,474,598,588,620,
582,793,444,678,365,945,124,337,557,327,169,178,959,689,701,138,239,764,155,
846,747,928,849,625,657,318,883,930,665,520,375,999,996,284,744,429,466,121,
882,397,200,894,517,354,131,595,329,410,738,249,072,410,618,283,802,379,033,
446,878,324,020,135,716,164,686,858,049,091,450,568,997,004,840,306,128,713,
387,017,298,234,147,147,717,897,174,858,602,714,925,195,577,324,126,680,061,
312,995,630,412,522,136,107,495,800,709,052,322,443,438,438,676,323,163,134,
963,917,375,135,669,476,773,848,746,661,225,759,850,220,986,423,333,195,181,
075,439,714,337,979,691,603,549,000,838,442,670,950,521,443,305,977,005,727,
563,295,986,137,500,211,176,464,158,164,559,004,730,136,520,158,861,222,641,
357,976,894,746,952,125,123,848,796,428,541,080,761,066,032,681,716,334,376,
710,125,864,891,711,506,352,588,468,639,948,552,085,102,175,056,616,899,421,
689,486,488,989,240,057,313,954,037,822,637,939,636,149,134,534,590,407,235,
839,097,562,099,032,136,169,494,928,688,668,351,375,044,378,264,992,208,191,
209,111,466,144,251,992,221,830,345,024,101,829,673,862,548,802,740,972,512,
497,541,859,737,984,289,988,665,843,389,425,734,157,417,156,050,145,420,955,
047,037,028,738,747,993,597,639,158,270,712,315,339,090,223,732,913,468,700,
408,751,577,474,058,452,299,430,775,507,352,023,186,591,578,456,213,870,593,
407,669,679,400,951,932,346,645,252,222,605,730,563,035,264,536,585,684,729,
576,335,173,146,433,976,089,647,451,568,104,253,097,392,956,309,737,333,138,
859,551,428,787,713,703,634,274,604,282,865,800,085,618,718,535,477,308,747,
675,856,735,245,846,936,299,016,786,721,008,082,867,412,190,378,810,206,034,
437,292,813,323,022,335,420,500,834,819,602,196,864,052,025,480,372,425,123,
915,770,710,230,731,365,329,428,035,372,623,023,430,710,641,982,221,834,497,
147,471,513,608,226,992,611,890,552,731,800,408,535,306,192,702,840,433,693,
191,123,455,211,588,270,894,933,917,893,833,784,776,009,192,775,228,905,847,
743,525,280,804,268,301,126,560,435,075,362,451,897,197,798,477,154,131,162,
981,903,223,335,379,616,459,060,269,044,502,154,497,731,911,418,032,182,842,
190,543,618,677,801,072,860,766,392,937,002,567,256,577,905,867,874,290,175,
718,970,614,514,872,976,248,216,558,530,522,974,653,322,948,991,504,165,563,
165,208,133,772,663,092,435,568,464,487,277,111,284,496,813,782,199,488,932,
676,557,602,424,086,342,957,261,309,536,693,840,552,495,425,828,867,843,384,
357,107,368,943,329,635,784,181,521,738,048,812,241,827,586,365,011,631,350,
692,497,679,536,823,958,239,231,902,971,810,916,332,417,371,861,119,396,921,
712,149,389,727,680,865,163,155,701,207,015,717,992,256,920,250,786,904,957,
259,288,207,814,399,117,556,061,668,431,111,343,001,273,243,297,420,974,178,
703,651,486,732,537,616,101,620,992,076,698,316,388,034,634,217,167,953,257,
659,124,594,938,513,672,525,227,725,317,985,565,372,430,969,443,068,760,299,
821,521,851,861,028,152,922,950,375,448,515,242,729,394,180,147,206,519,470,
543,827,106,898,894,757,909,359,270,602,902,572,165,754,325,018,812,029,030,
604,605,549,447,711,893,107,328,076,500,030,553,332,293,733,808,477,861,552,
166,469,981,130,188,677,427,568,938,932,206,503,804,605,182,562,169,462,834,
601,685,710,516,649,420,795,300,132,141,781,497,023,063,074,128,276,209,426,
288,807,791,662,489,063,505,741,439,652,502,211,499,193,128,876,066,830,206,
062,318,013,512,549,677,302,273,274,727,133,311,041,114,897,359,184,243,898,
412,693,445,354,404,143,603,019,369,955,504,681,504,244,855,344,232,508,892,
488,569,396,288,430,845,164,226,914,998,271,851,205,674,617,840,642,679,203,
442,113,706,595,269,293,561,294,199,637,695,718,497,464,366,120,715,738,979,
579,721,109,126,244,669,181,383,872,477,463,933,683,978,103,503,058,278,112,
792,868,753,149,935,274,760,617,071,604,709,538,415,983,760,758,324,147,315,
462,038,929,393,043,988,686,825,528,370,200,715,538,306,065,680,564,544,429,
962,612,737,125,971,431,900,598,057,853,339,113,893,358,222,972,557,387,796,
972,236,521,436,115,630,854,356,457,467,891,826,039,954,670,886,729,795,648,
217,168,603,745,092,699,157,210,439,852,409,773,396,614,135,372,586,142,203,
324,856,698,275,369,497,899,856,031,019,658,063,685,585,750,556,160,012,000,
993,443,208,563,757,467,143,026,989,775,935,208,000,528,118,640,295,456,315,
525,788,111,880,958,841,557,058,052,512,979,227,246,712,584,461,412,973,236,
752,976,448,884,081,600,574,471,033,183,794,484,275,134,799,697,255,815,378,
949,487,432,313,954,362,651,972,194,643,662,580,095,886,397,471,646,869,129,
771,866,807,447,653,557,314,734,208,462,312,777,171,133,378,520,973,927,207,
481,017,667,784,763,046,490,064,964,764,708,963,534,095,369,994,378,594,402,
267,041,037,643,197,466,929,182,937,353,035,939,820,711,912,545,645,121,461,
258,169,166,068,302,994,878,879,668,571,471,632,465,506,415,683,312,865,423,
321,039,729,806,694,910,089,097,497,127,119,072,892,169,175,744,406,593,046,
032,005,213,906,990,333,211,421,302,821,140,713,900,591,227,042,595,501,461,
313,328,460,005,491,489,187,182,965,203,035,006,502,507,330,718,017,549,691,
260,673,340,371,824,471,653,519,424,067,615,895,684,037,160,300,276,172,887,
521,672,434,135,428,265,156,556,013,850,788,058,080,742,739,578,677,543,422,
706,180,759,788,366,290,780,083,989,204,436,873,808,171,853,053,549,869,230,
990,285,517,109,090,627,376,011,449,467,103,201,478,382,154,649,419,297,656,
558,163,059,023,229,501,808,499,808,695,283,737,575,409,691,677,164,104,521,
295,509,509,398,804,632,095,873,919,090,267,346,615,009,839,023,930,128,847,
549,107,935,466,575,991,252,694,304,241,589,364,294,249,080,252,703,876,258,
262,985,982,010,226,956,410,840,529,837,658,219,038,478,951,992,864,000,248,
594,166,796,407,389,010,623,160,326,302,662,098,735,123,157,612,289,536,574,
048,459,954,180,565,790,309,148,548,385,202,203,570,691,411,647,442,670,952,
155,847,816,177,672,317,779,201,529,533,096,593,324,811,688,623,040,675,298,
824,648,989,446,027,592,622,830,120,771,100,528,355,086,492,170,312,838,444,
560,478,607,005,734,194,789,918,243,487,036,400,607,357,559,255,924,903,313,
870,731,005,550,184,025,648,294,589,391,765,256,007,693,295,493,710,211,306,
914,320,612,352,562,115,263,422,769,833,198,080,392,611,202,680,119,022,061,
292,577,761,816,935,515,755,805,406,325,592,929,434,423,381,408,294,968,281,
284,810,402,135,493,973,965,546,854,868,213,226,214,195,334,367,684,886,291,
598,344,986,557,390,198,363,488,672,216,435,419,061,187,402,831,718,822,843,
846,329,236,352,806,795,054,762,453,648,663,878,232,722,294,347,422,294,580,
012,103,677,278,979,077,863,547,202,381,940,844,397,157,746,334,181,035,314,
698,984,087,849,583,111,951,337,280,141,503,425,271,679,441,044,260,652,904,
907,221,818,047,136,680,478,591,262,471,882,715,769,317,753,011,331,124,127,
036,304,302,294,600,378,413,928,203,845,144,558,294,848,612,104,021,388,403,
897,854,171,798,176,097,742,102,410,299,859,106,561,556,934,714,300,900,021,
782,739,422,959,414,965,294,603,601,238,578,711,523,754,023,811,178,819,990,
809,486,968,343,011,880,570,613,258,169,401,283,599,878,373,038,809,909,657,
950,199,036,733,650,990,425,672,025,031,964,582,371,439,799,388,209,001,665,
060,255,926,069,676,806,164,316,190,506,909,377,086,278,853,712,669,055,045,
296,118,060,944,436,137,474,096,815,100,136,470,530,243,963,854,303,260,743,
527,056,779,815,489,235,378,672,472,715,975,169,358,837,824,160,557,374,457,
440,107,689,520,158,691,035,658,835,842,383,443,515,708,112,560,009,695,583,
786,369,804,931,777,718,502,520,401,688,564,759,761,217,680,588,709,855,155,
693,802,575,939,349,357,132,567,242,883,057,978,806,814,785,196,223,805,734,
288,087,383,802,395,856,987,854,291,824,546,008,006,727,251,571,560,810,776,
001,810,448,607,376,832,703,989,568,213,529,364,338,747,622,942,644,942,503,
271,703,768,269,720,980,415,170,188,582,104,139,182,880,709,330,965,374,148,
571,470,832,346,869,356,953,005,324,340,388,333,464,068,391,333,204,104,733,
473,232,382,535,987,048,935,774,802,532,128,648,410,148,507,153,517,896,523,
469,694,775,702,406,085,675,769,409,404,030,088,317,109,631,891,450,024,062,
386,816,887,978,166,216,377,278,020,622,955,512,703,697,260,766,981,179,544,
832,267,499,618,265,394,581,693,302,608,810,039,300,667,260,627,449,107,714,
569,360,062,948,949,981,897,934,913,542,649,193,282,647,179,967,090,245,026,
459,437,884,408,923,423,784,407,100,678,980,291,517,183,619,818,434,733,542,
695,949,271,707,169,812,150,070,351,717,011,602,744,647,998,312,465,318,935,
909,810,592,231,752,176,054,166,301,293,862,769,210,807,163,280,333,773,133,
446,856,830,660,872,811,655,783,597,900,827,885,968,481,266,956,019,491,419,
604,124,839,189,261,796,184,398,776,105,234,950,599,831,214,264,980,770,473,
131,766,638,828,639,797,243,603,254,571,210,160,558,007,456,814,495,150,738,
770,204,106,050,137,805,919,963,316,247,087,511,026,687,388,424,425,073,202,
232,967,239,508,821,756,094,852,816,712,672,013,579,695,062,550,689,594,772,
155,365,184,015,859,769,020,133,211,023,858,121,268,732,439,676,003,022,698,
424,429,332,352,144,201,092,129,468,224,157,088,249,367,101,378,232,264,891,
740,013,937,091,929,631,347,315,874,888,576,319,211,347,392,695,713,599,117,
452,401,983,383,925,518,329,926,472,862,371,525,440,057,761,631,343,964,364,
464,547,579,368,794,892,297,432,426,269,380,885,925,676,511,579,870,478,718,
762,948,062,903,630,080,507,368,558,708,148,161,751,195,803,276,980,616,888,
231,811,313,486,961,123,009,653,729,524,398,522,698,336,374,326,198,722,649,
872,700,857,118,748,744,370,171,793,417,520,154,199,136,077,773,567,443,878,
775,836,238,938,941,862,137,999,736,535,668,437,963,801,469,933,674,375,462,
961,387,827,178,087,546,841,701,016,773,483,127,351,062,273,395,607,072,885,
814,253,401,272,954,535,988,782,129,077,449,223,644,447,956,553,362,437,230,
146,584,503,373,231,621,634,677,719,835,896,520,365,089,939,273,110,912,821,
840,668,262,056,803,856,507,668,248,348,989,021,561,761,885,263,098,643,670,
578,568,428,627,728,782,463,972,319,071,373,082,413,338,355,621,929,505,350,
005,499,910,076,781,068,701,302,231,045,014,565,883,468,245,872,205,203,139,
741,825,784,444,977,196,933,840,828,377,236,114,325,755,131,034,279,323,735,
830,879,287,741,675,588,714,618,108,009,589,368,985,613,826,423,578,406,919,
768,738,964,257,035,480,556,431,806,654,327,396,979,696,757,192,192,918,611,
736,547,136,019,153,443,371,491,158,630,490,640,456,098,244,676,888,715,476,
522,902,862,329,351,601,339,380,825,005,730,750,126,579,975,681,214,065,146,
030,345,678,106,948,845,861,084,983,948,605,547,791,441,300,216,382,671,767,
212,448,962,071,855,800,326,854,599,690,136,876,666,960,184,867,092,022,059,
878,117,764,310,521,551,335,716,665,098,218,433,765,279,730,824,584,893,629,
866,743,391,648,664,561,104,056,048,666,460,247,044,329,421,319,886,054,256,
959,544,975,754,826,733,775,937,861,724,812,705,172,293,637,905,366,298,593,
071,668,172,417,312,586,259,220,797,989,887,375,814,366,018,720,650,484,318,
543,066,972,211,147,179,878,334,417,740,807,917,521,624,189,767,207,742,949,
663,714,140,216,837,482,235,200,899,659,591,585,779,624,955,963,783,890,999,
018,462,213,140,787,138,912,008,103,388,524,581,192,513,486,142,406,840,731,
389,941,491,353,316,601,375,213,830,195,970,446,654,602,701,956,211,451,858,
847,657,017,399,672,065,034,666,144,667,798,072,859,224,105,399,724,715,914,
097,197,983,343,436,529,682,879,632,402,278,900,515,283,846,449,680,119,931,
647,221,814,167,400,501,845,555,690,318,869,908,575,658,095,829,593,847,071,
305,212,453,152,897,642,791,156,117,030,668,051,356,591,290,268,425,912,165,
725,023,317,009,730,054,624,758,961,585,643,081,643,801,936,601,421,206,602,
208,581,273,782,623,831,371,693,702,703,312,636,614,653,075,588,092,084,446,
735,123,046,582,526,349,348,484,758,582,072,128,589,572,167,313,152,351,240,
135,210,377,455,685,157,801,764,074,198,359,884,403,754,302,209,555,766,690,
027,995,009,481,593,700,233,835,084,818,628,415,552,800,817,640,391,363,234,
017,509,034,007,159,877,753,617,161,453,590,555,268,383,247,682,579,955,054,
266,695,818,855,051,370,156,538,967,107,114,075,741,722,371,661,962,232,783,
361,491,435,989,589,019,509,524,535,109,376,562,517,143,437,486,137,197,119,
940,922,553,733,956,780,929,604,901,590,362,198,265,773,924,766,854,230,359,
216,276,612,803,972,570,919,559,830,293,210,308,732,102,396,404,632,757,090,
396,766,882,079,298,046,319,050,521,107,899,813,209,081,688,366,447,972,207,
553,877,725,840,382,569,567,025,878,588,769,604,104,746,562,589,134,931,823,
537,814,241,747,298,192,609,289,990,668,641,761,198,936,206,345,383,144,751,
018,883,378,619,172,097,546,467,108,648,239,646,415,820,967,044,869,351,320,
802,937,888,558,965,598,760,849,111,190,180,953,286,094,626,363,492,013,593,
759,089,160,664,708,453,381,677,511,598,985,699,511,504,433,393,463,894,527,
265,429,776,822,170,669,856,822,084,324,245,135,599,348,954,786,415,158,770,
111,340,225,102,574,422,766,605,499,162,323,986,374,447,602,660,878,327,559,
046,760,124,024,117,901,771,633,784,183,889,811,701,820,322,630,781,611,071,
069,703,759,208,775,008,174,334,218,030,947,658,168,745,998,678,688,438,771,
151,103,755,822,916,566,454,056,528,866,006,606,495,258,118,597,757,865,383,
899,923,397,344,025,419,799,446,134,433,776,512,678,646,014,686,534,319,723,
773,750,374,353,429,846,246,475,902,689,443,160,569,377,410,074,205,128,675,
565,676,950,614,283,384,472,440,067,074,260,039,484,179,355,838,937,886,829,
461,817,793,191,909,727,643,333,660,055,770,147,599,924,478,894,981,808,298,
491,257,859,826,837,406,691,522,542,344,224,449,232,775,052,030,580,237,565,
052,060,844,412,934,662,401,988,699,353,035,066,900,414,640,825,638,333,319,
690,118,573,234,430,680,110,261,656,125,448,715,867,165,628,426,516,964,997,
286,016,222,067,011,299,694,030,110,092,014,101,834,446,496,316,756,896,562,
551,102,746,712,219,372,661,706,966,607,383,183,645,809,884,003,645,682,018,
040,369,843,283,686,131,243,556,222,362,281,177,713,484,051,512,526,848,508,
165,746,779,584,747,242,141,604,520,904,692,558,548,077,186,901,688,367,320,
953,515,351,169,659,316,763,726,783,711,754,342,433,222,962,902,498,967,677,
539,226,830,883,930,183,365,588,797,676,714,617,395,170,877,287,625,769,618,
502,502,533,907,077,444,187,834,934,282,295,118,177,000,255,640,033,560,420,
038,063,757,302,111,711,639,081,787,584,383,918,598,903,833,656,525,813,948,
484,494,722,140,323,697,680,165,548,109,143,803,424,960,622,904,588,958,528,
214,349,703,747,225,183,956,299,363,542,698,921,959,929,731,729,783,949,957,
781,310,795,790,726,306,835,520,898,614,617,198,975,395,894,241,406,614,228,
657,570,731,357,081,711,201,518,000,516,041,209,111,934,605,237,538,631,044,
969,047,518,463,623,574,702,764,011,791,196,017,403,152,573,198,778,039,212,
354,046,918,053,376,688,722,062,641,693,244,543,163,846,680,398,312,407,373,
473,365,665,010,311,170,905,267,868,581,101,883,392,586,000,747,243,422,133,
969,385,909,278,544,083,480,157,070,689,588,660,558,645,954,123,810,776,946,
533,040,904,285,182,373,127,652,248,626,187,974,693,069,981,776,018,980,422,
103,906,169,735,475,570,229,331,444,235,913,697,769,658,632,067,255,639,638,
717,589,051,642,617,522,989,624,580,491,337,824,673,469,116,675,221,244,668,
511,605,006,306,750,319,057,157,723,406,229,929,344,182,840,577,040,513,865,
194,709,200,101,394,540,995,283,649,245,583,665,069,370,512,698,773,383,523,
384,530,459,712,488,713,385,902,456,118,120,910,144,162,158,353,790,022,012,
423,848,000,802,773,657,744,995,405,642,977,206,675,532,216,783,851,566,747,
092,885,398,527,438,283,138,917,206,149,369,359,279,105,714,656,443,953,959,
614,631,263,888,384,280,513,816,566,218,330,391,038,344,837,009,042,898,354,
844,868,404,178,431,318,276,359,891,734,617,667,737,025,243,851,661,281,669,
187,262,265,463,843,976,644,991,588,621,679,356,640,075,697,004,134,093,725,
495,967,198,021,047,387,584,549,061,055,095,463,894,320,862,774,653,165,149,
898,204,548,892,723,730,175,010,155,938,620,702,654,338,877,576,296,376,984,
803,121,817,898,882,325,644,834,299,731,192,466,460,786,537,151,992,325,955,
636,020,531,908,196,223,705,590,827,485,239,520,966,790,244,964,919,495,267,
571,985,746,935,952,739,763,171,326,484,718,522,355,690,673,169,438,189,604,
574,609,630,066,565,905,092,859,665,889,612,128,019,493,882,138,030,379,579,
214,152,090,176,785,012,842,492,296,453,200,827,983,271,728,825,820,833,242,
037,763,062,488,603,280,042,563,358,558,249,833,821,350,208,001,906,098,801,
795,880,301,810,437,976,022,604,886,235,599,370,830,874,366,875,465,340,117,
643,797,748,761,574,538,090,384,439,225,478,211,677,331,664,332,585,859,326,
985,403,771,266,360,695,123,842,989,924,934,441,266,964,411,794,165,645,698,
429,330,227,774,367,086,914,679,406,950,817,035,129,129,498,470,286,963,423,
368,167,140,229,967,614,864,119,683,874,073,576,459,674,356,722,622,768,962,
819,689,689,410,309,054,323,516,110,798,591,443,869,712,986,638,949,957,030,
262,618,518,018,741,344,562,631,758,340,252,491,706,763,574,124,537,045,285,
639,123,241,724,480,829,145,294,836,645,251,326,914,634,833,953,642,517,401,
341,427,056,406,051,637,177,971,011,850,942,942,563,838,149,407,611,816,002,
741,854,298,081,707,299,653,266,209,411,583,274,453,103,707,874,695,943,365,
308,011,887,495,958,298,003,372,609,905,514,316,328,859,889,372,711,153,454,
291,186,277,734,667,664,608,094,658,888,570,509,926,829,146,424,135,098,933,
902,194,381,704,460,605,947,482,615,111,372,397,415,165,772,632,789,088,405,
921,486,091,557,666,755,348,103,444,515,685,877,500,398,641,091,818,587,100,
639,356,596,490,355,081,759,624,844,414,335,124,904,347,496,974,889,524,269,
069,321,193,863,754,089,423,371,923,624,453,548,039,962,161,493,397,728,453,
204,973,120,010,112,815,507,817,866,923,801,066,924,396,434,528,187,654,266,
363,377,710,318,983,707,589,091,357,961,926,484,736,933,954,366,158,808,521,
386,207,587,625,216,490,234,356,463,645,757,481,815,090,739,482,298,737,996,
386,588,963,664,666,136,803,092,325,678,522,379,543,947,953,805,517,472,816,
881,259,632,182,533,392,268,317,116,768,035,894,455,701,717,207,015,741,500,
888,176,250,687,336,264,119,735,192,940,758,861,553,323,048,997,571,583,116,
624,148,907,877,142,507,817,800,620,061,458,618,759,027,611,331,181,444,896,
342,924,787,245,609,693,740,836,709,172,509,484,608,008,204,889,098,039,105,
885,915,672,955,420,230,312,504,444,813,424,221,418,414,950,851,763,989,029,
798,848,898,150,412,780,136,917,423,466,466,935,444,856,114,686,542,956,786,
863,531,446,997,558,038,580,532,882,742,000,369,985,784,982,785,801,664,156,
784,286,504,017,191,660,384,029,457,126,192,362,166,347,627,288,078,940,428,
366,367,096,907,096,552,397,811,284,166,523,681,019,719,065,924,680,198,509,
559,215,229,299,099,622,281,227,110,824,709,588,898,212,111,051,859,977,671,
348,228,641,687,790,097,232,802,650,239,823,912,528,478,513,512,028,606,436,
742,971,600,562,823,191,120,215,226,695,424,425,451,058,681,967,577,939,544,
798,432,918,535,333,647,859,391,904,954,095,194,033,274,935,887,744,891,694,
795,973,982,799,702,936,525,476,458,859,594,916,107,874,271,480,661,444,942,
299,418,710,948,608,427,489,164,772,218,441,230,438,363,356,163,777,617,458,
648,426,291,876,859,839,279,326,327,118,636,750,350,579,357,387,863,106,263,
722,315,651,754,235,911,396,553,336,383,444,685,670,139,746,125,210,884,877,
232,756,064,945,792,625,764,268,438,959,165,782,553,884,360,320,648,404,618,
900,307,528,261,420,333,614,348,886,427,905,482,519,925,847,536,520,798,586,
703,003,906,266,186,372,271,444,429,905,388,932,561,024,806,543,241,318,243,
280,635,510,178,597,326,461,148,370,938,543,558,262,006,748,744,972,114,428,
813,820,362,094,869,939,310,355,906,478,295,058,533,408,633,369,206,166,799,
507,400,183,899,053,032,253,191,168,464,152,923,498,790,692,204,027,411,410,
871,451,405,817,863,857,211,784,819,186,547,331,681,581,311,212,412,140,415,
731,102,177,362,086,784,787,406,059,744,306,784,373,699,837,721,616,255,323,
828,004,729,631,014,719,757,779,445,381,163,431,951,728,756,124,386,414,722,
668,895,417,215,716,228,456,655,588,752,485,775,227,804,238,774,324,845,653,
439,627,311,098,927,087,566,407,104,444,618,521,331,232,016,299,363,980,987,
886,847,518,659,157,631,321,542,194,150,488,355,175,528,195,528,389,233,939,
269,371,784,983,102,972,864,884,527,924,678,497,640,153,083,594,407,690,823,
519,533,996,670,328,795,074,798,934,248,732,761,460,522,171,981,804,991,246,
861,798,457,648,959,009,787,154,513,874,389,153,665,019,185,225,491,367,426,
560,642,689,063,793,966,575,992,052,394,867,094,208,328,766,896,757,996,176,
770,815,018,737,543,808,801,047,936,351,902,563,079,223,291,072,405,400,697,
780,672,835,140,383,130,528,996,733,070,862,860,155,110,395,548,477,960,608,
519,542,622,066,280,756,672,277,831,395,042,408,120,309,759,858,328,457,526,
237,604,006,948,684,676,798,962,168,083,014,597,712,449,088,657,847,948,250,
324,818,402,724,308,698,550,843,214,792,588,570,063,736,068,388,940,960,538,
377,450,339,948,279,496,930,153,527,749,664,240,136,655,095,523,549,111,573,
622,966,708,326,939,901,706,365,616,848,991,509,514,563,714,628,115,434,260,
613,881,441,149,861,885,105,468,361,672,350,712,065,825,055,772,405,052,194,
109,973,475,468,137,665,289,514,631,238,885,456,651,813,874,826,236,982,387,
409,139,093,983,754,625,574,311,706,123,266,045,765,893,512,511,948,863,059,
833,204,847,415,615,764,918,992,416,257,978,120,304,855,805,131,032,104,244,
804,934,072,139,625,563,283,553,606,574,543,579,685,835,128,337,622,340,001,
386,466,086,397,563,824,809,924,465,021,285,670,624,203,180,918,770,176,656,
995,500,998,221,692,225,612,440,625,632,893,547,894,347,179,929,404,434,411,
213,168,325,456,612,409,499,071,231,915,697,049,687,270,682,692,723,418,964,
051,452,146,189,187,027,657,539,606,320,365,890,724,538,733,978,939,066,840,
018,045,106,384,869,581,158,245,294,698,749,341,420,875,927,998,742,630,148,
500,500,015,770,252,684,737,075,641,028,304,818,502,127,600,386,538,005,911,
283,320,457,533,656,637,059,762,432,464,602,092,179,364,950,029,639,714,616,
751,286,263,995,322,011,316,095,711,125,335,369,825,093,628,478,697,884,883,
338,436,171,743,279,837,836,688,010,909,958,131,093,995,594,821,402,107,344,
580,131,690,029,270,341,443,494,266,532,460,995,155,242,147,637,300,269,189,
412,830,796,111,926,910,347,149,633,579,404,492,827,581,146,963,899,308,950,
842,675,565,077,533,046,736,403,578,275,322,192,986,404,442,052,095,784,890,
224,653,013,668,480,302,687,144,227,648,329,627,806,032,190,400,912,746,562,
535,038,831,356,812,987,235,993,918,816,576,547,456,808,530,077,309,634,977,
058,096,606,988,319,053,740,401,191,122,516,992,440,615,436,781,862,471,096,
932,175,446,638,277,401,529,960,151,170,738,505,816,787,604,990,429,865,897,
563,126,036,450,913,948,242,115,486,906,404,154,718,059,858,992,691,719,605,
528,755,898,185,325,671,427,701,777,734,172,893,535,946,438,766,680,450,289,
522,567,445,709,259,449,293,628,199,397,288,892,682,532,804,478,873,046,260,
189,959,561,253,242,075,556,894,350,797,101,361,610,015,487,908,484,298,819,
674,414,377,522,492,256,718,290,113,903,022,571,753,714,476,941,743,361,859,
336,577,026,874,159,554,581,541,170,028,148,139,412,893,785,839,453,973,540,
352,288,411,443,563,267,557,489,536,459,011,882,944,017,481,430,421,340,429,
309,239,755,555,534,786,190,799,179,531,274,769,523,335,605,673,277,450,078,
780,013,570,691,498,835,338,984,330,551,287,447,770,588,978,468,156,788,132,
950,297,898,793,244,411,066,597,222,844,748,564,094,788,806,280,528,264,744,
429,972,079,744,838,092,996,978,574,662,334,649,070,954,061,798,010,534,758,
252,139,451,233,447,105,968,228,930,214,132,158,611,385,247,601,472,456,738,
588,870,997,802,923,108,058,938,120,501,284,094,547,857,299,740,923,222,280,
879,544,845,160,688,512,966,426,522,237,288,018,528,612,015,827,170,802,418,
316,852,340,180,222,733,363,435,757,078,514,532,337,663,728,082,188,042,009,
860,983,863,734,871,333,302,363,469,570,099,741,970,548,868,143,787,041,161,
224,425,188,975,683,393,111,074,271,510,516,851,948,196,866,166,774,540,244,
743,603,470,893,303,898,596,902,976,121,033,687,061,175,299,296,455,483,545,
789,380,286,464,150,990,053,417,201,838,317,755,833,971,194,069,570,718,683,
699,234,075,825,159,992,799,322,039,105,690,179,120,254,022,026,357,280,211,
660,543,277,196,001,310,954,426,547,496,147,129,569,087,727,906,177,152,005,
756,345,328,238,094,817,207,172,129,772,115,228,869,326,492,897,970,374,273,
651,156,398,992,304,700,991,102,024,405,731,044,478,466,212,584,145,852,418,
269,723,927,107,311,503,095,662,735,073,019,827,169,318,090,396,147,812,389,
114,030,403,766,251,662,175,622,601,212,514,604,737,816,075,905,809,004,266,
206,391,434,922,584,596,161,459,406,006,115,573,723,038,315,679,753,894,611,
739,409,999,107,477,395,551,734,547,384,592,278,986,156,811,671,157,624,079,
100,648,492,558,558,055,485,622,151,412,611,814,394,550,480,424,841,790,842,
377,984,064,116,644,007,661,210,685,041,184,836,255,799,354,468,144,961,674,
252,854,372,759,981,927,023,708,074,069,834,017,451,434,231,683,828,091,095,
967,923,778,039,700,324,684,882,357,285,724,148,370,992,379,461,736,694,663,
848,261,347,122,966,264,056,066,765,362,482,377,074,930,616,905,658,696,708,
758,826,607,778,585,061,609,981,534,655,798,722,123,103,594,680,520,967,964,
855,782,484,468,722,470,803,626,193,898,483,155,955,639,370,378,806,873,983,
956,830,296,692,024,083,160,117,270,860,385,553,940,998,215,221,205,969,635,
496,134,110,420,050,116,051,321,732,629,987,414,185,360,077,320,396,761,469,
627,531,592,770,586,021,705,449,983,170,461,955,588,864,901,161,448,215,858,
210,941,946,719,595,617,974,116,705,603,940,613,419,999,445,139,966,032,078,
362,640,135,351,161,336,575,320,695,896,469,669,679,013,890,517,059,267,732,
786,212,472,225,391,097,440,062,208,857,669,060,734,851,611,675,055,767,806,
021,619,744,143,869,751,529,011,960,026,156,759,795,609,927,526,927,890,492,
244,957,861,560,381,247,734,087,543,502,211,481,900,414,159,324,511,609,972,
592,943,481,024,785,598,853,765,052,615,390,037,819,530,378,907,779,670,156,
455,717,581,038,043,969,177,036,666,307,616,998,392,306,053,568,825,068,739,
474,061,035,253,573,897,158,645,359,996,120,948,807,718,965,740,556,159,089,
971,119,560,097,320,710,582,047,988,197,026,592,045,913,290,256,613,753,614,
976,685,757,428,176,109,206,556,100,877,514,290,269,876,078,590,771,315,444,
361,682,871,920,268,607,898,503,116,521,054,423,559,497,448,041,031,161,402,
591,176,679,086,983,013,525,327,543,426,362,861,721,381,040,128,878,414,561,
923,660,726,456,807,805,058,525,111,444,323,769,268,818,084,256,518,605,817,
254,050,584,094,122,580,766,207,618,458,475,365,131,728,960,647,199,034,215,
458,257,254,879,454,635,835,007,962,328,126,700,705,407,923,825,810,095,681,
987,900,977,119,026,661,383,671,294,810,662,447,610,115,107,910,940,662,458,
078,345,541,290,854,178,816,726,324,286,626,108,401,043,547,579,470,362,722,
115,386,146,283,891,922,163,409,463,800,619,498,725,946,681,819,518,408,336,
250,506,538,255,647,943,087,002,640,858,180,515,998,809,102,437,831,838,845,
558,348,280,737,905,583,283,265,877,510,734,461,302,983,092,757,554,817,398,
272,890,409,657,351,079,560,432,292,398,072,436,090,976,305,474,376,702,449,
303,144,170,263,931,682,765,365,883,743,569,718,572,293,200,381,067,367,928,
475,352,624,676,177,319,479,291,594,789,865,235,242,943,356,269,535,419,215,
432,368,252,951,630,338,338,393,627,444,406,177,197,948,811,259,668,717,926,
260,995,368,403,418,278,833,416,729,946,848,629,052,783,390,431,626,181,166,
675,037,034,117,414,655,834,587,199,587,092,453,478,809,662,889,187,024,563,
411,158,121,735,073,837,278,575,387,264,827,891,033,642,511,068,018,800,038,
010,623,800,169,342,916,144,213,805,861,559,247,215,298,344,597,152,625,337,
117,271,437,146,477,214,236,766,993,008,464,385,060,279,668,109,180,036,447,
429,414,184,585,321,124,784,465,589,052,216,446,535,514,023,031,725,389,591,
821,712,902,032,454,349,914,917,161,884,480,049,865,355,053,772,201,513,098,
234,507,480,564,744,111,881,623,414,598,479,670,071,545,025,312,953,668,843,
140,942,688,749,327,616,128,590,454,887,068,431,532,773,014,853,820,527,947,
333,835,501,404,480,786,601,310,579,339,312,776,079,419,008,539,157,631,495,
101,745,308,506,220,592,465,520,970,651,944,104,807,703,648,945,774,413,458,
342,164,590,326,083,573,926,162,709,456,322,578,564,560,751,675,755,766,038,
419,718,811,352,669,526,133,466,319,467,060,152,377,278,136,139,939,774,725,
509,008,409,491,918,652,854,750,419,774,657,080,124,120,583,510,151,412,733,
721,696,820,147,850,772,600,854,723,185,282,711,411,296,895,745,925,804,754,
396,898,635,735,298,695,915,120,445,238,277,239,623,230,185,666,668,532,095,
495,281,299,599,581,051,557,719,658,645,254,899,841,285,166,595,033,845,020,
288,964,208,533,893,406,545,480,755,355,866,139,767,145,829,687,007,523,814,
563,815,391,281,571,835,741,907,370,986,464,872,717,877,867,923,392,390,882,
898,654,312,874,607,152,903,807,721,118,130,044,764,403,779,297,104,555,961,
880,774,726,752,954,592,172,111,157,918,598,875,035,210,912,095,745,174,687,
821,523,889,868,102,245,976,218,024,819,437,127,256,111,563,154,834,547,248,
909,359,846,138,182,112,478,603,178,082,626,489,003,897,927,686,609,578,648,
273,059,698,732,043,362,484,123,308,426,885,461,796,738,388,832,715,810,096,
728,145,580,889,723,256,440,382,571,413,800,821,411,346,333,220,783,715,114,
878,743,838,635,665,259,768,624,916,999,850,618,317,563,471,803,020,230,149,
298,464,921,903,741,602,924,148,447,697,905,710,326,774,569,685,273,267,739,
941,271,645,730,366,212,588,393,874,431,104,964,100,160,993,875,853,252,095,
148,898,649,075,423,571,811,246,954,011,406,773,714,598,855,090,396,069,497,
839,149,506,271,572,341,087,873,485,935,448,624,396,100,879,886,269,808,737,
255,516,005,853,013,475,982,006,395,051,935,294,854,084,932,375,954,679,274,
399,032,753,716,077,820,612,437,337,093,113,633,435,350,588,548,092,403,218,
056,693,391,694,812,370,485,730,457,518,527,405,741,776,889,698,895,856,098,
819,291,377,471,573,574,186,002,996,002,631,178,663,167,232,332,033,998,447,
750,674,926,372,909,118,624,268,482,545,184,849,716,661,587,061,449,260,281,
127,519,833,180,784,810,265,381,596,678,706,549,353,972,200,123,392,100,059,
678,389,123,203,972,669,610,365,796,370,114,324,014,814,518,326,989,101,601,
462,994,518,784,208,318,089,156,440,449,232,660,611,759,806,301,344,204,353,
460,304,882,311,349,571,887,231,379,973,518,129,449,121,896,181,398,487,107,
212,382,226,112,808,521,249,907,689,412,752,071,992,196,821,902,934,988,128,
595,807,995,164,343,914,583,781,733,299,370,879,946,038,623,209,111,555,375,
071,635,029,263,474,769,488,771,975,318,577,235,424,395,804,783,133,165,770,
224,016,251,829,323,367,628,891,204,480,113,050,105,419,954,747,989,735,705,
773,314,129,701,810,998,963,330,224,593,595,554,620,188,937,308,987,011,881,
806,395,821,007,034,645,228,912,091,960,921,747,366,155,717,906,101,812,698,
024,934,936,104,956,362,401,300,035,750,602,610,446,203,609,032,481,370,516,
545,479,211,381,909,960,122,314,203,704,435,475,432,581,432,978,227,614,329,
227,653,083,883,418,351,698,156,487,041,617,376,609,981,085,020,979,967,195,
063,694,442,079,975,949,219,747,221,877,768,332,048,474,350,514,190,894,351,
118,371,641,911,637,394,092,514,672,928,102,597,480,208,585,397,843,308,074,
921,122,008,235,575,372,510,162,999,187,942,242,150,342,082,090,682,177,628,
206,866,634,103,259,286,519,900,602,491,008,458,187,397,066,791,809,249,475,
985,332,025,670,549,730,113,137,459,648,681,481,101,675,474,307,417,378,048,
824,585,209,962,487,567,026,551,219,244,439,214,664,986,099,433,818,576,957,
170,072,238,458,296,028,667,368,075,707,373,162,660,201,631,819,132,196,715,
983,993,179,539,594,846,161,497,796,953,708,565,034,068,708,148,067,944,571,
841,254,844,704,278,555,714,916,182,899,327,781,976,103,333,680,512,749,830,
647,518,244,525,672,923,686,822,353,620,904,334,312,487,996,174,741,104,124,
607,928,939,281,089,600,617,482,365,975,621,973,494,047,894,762,735,622,239,
336,216,266,323,544,484,077,462,504,881,709,065,125,021,122,319,691,731,759,
677,477,210,228,693,317,194,731,677,755,776,454,023,738,305,406,657,219,981,
277,082,133,467,457,397,887,380,899,843,318,867,144,888,834,684,711,025,444,
560,398,039,762,420,331,093,160,922,694,170,326,001,112,057,554,969,982,974,
807,902,539,350,753,367,902,389,343,582,801,901,806,862,539,358,784,027,779,
419,757,638,396,488,114,866,193,457,548,135,074,275,829,474,919,978,300,938,
344,518,956,659,508,709,560,894,370,190,434,529,584,647,422,797,145,093,199,
610,751,129,335,609,378,431,805,323,325,745,757,849,397,162,243,524,414,377,
775,987,254,237,112,329,469,369,730,916,846,417,867,269,047,043,494,887,521,
155,352,889,247,932,907,975,765,455,655,351,384,129,970,176,873,521,368,005,
380,730,455,097,856,674,807,832,329,506,395,761,180,443,332,308,021,217,309,
181,436,482,319,570,136,070,518,489,039,732,641,476,465,262,947,795,453,659,
875,612,382,096,220,918,176,640,866,867,026,212,901,526,379,619,412,317,853,
308,656,866,489,128,917,244,925,856,581,944,704,601,213,202,160,831,640,550,
816,584,594,279,863,822,847,859,752,443,807,479,893,050,621,155,967,166,826,
301,167,634,530,220,034,200,887,077,037,924,481,577,022,093,902,035,671,473,
634,273,922,913,449,903,096,532,388,853,723,735,622,630,932,494,553,039,725,
788,943,548,260,351,122,633,729,965,620,413,311,769,183,254,462,349,125,967,
032,757,312,531,896,214,903,258,367,648,525,743,041,823,941,227,428,631,710,
077,229,966,304,559,081,451,537,998,304,797,263,283,296,575,611,964,511,430,
037,494,105,754,688,317,833,816,900,495,492,815,534,765,340,317,115,476,863,
406,635,742,485,610,070,855,661,702,786,607,937,368,392,520,109,728,828,875,
465,536,168,391,916,281,409,974,343,605,456,729,694,947,369,404,764,479,074,
426,811,712,415,021,222,741,616,484,600,757,506,994,220,172,123,401,966,025,
718,154,338,432,970,406,091,082,913,849,228,398,947,830,062,805,417,355,531,
228,238,678,886,266,173,028,163,639,221,248,657,242,952,504,318,386,557,717,
924,414,298,059,921,707,995,829,482,786,739,093,879,506,857,018,914,039,916,
769,122,011,179,243,725,000,522,616,119,979,912,770,547,298,740,515,462,613,
340,214,348,952,048,910,308,541,243,599,285,881,564,371,264,791,628,920,490,
154,144,272,715,151,198,455,468,284,439,862,742,930,107,228,579,378,056,215,
313,344,896,863,495,544,910,819,837,348,846,694,028,108,613,895,850,982,360,
515,953,294,186,790,562,930,755,477,702,383,827,110,770,484,215,331,387,574,
552,574,559,821,994,367,088,051,657,572,559,528,936,516,392,154,624,864,521,
461,449,260,714,050,519,774,450,906,288,928,174,361,737,490,143,884,021,023,
669,691,186,784,289,533,588,188,308,784,740,821,245,538,984,788,147,389,222,
439,352,293,129,289,821,312,533,114,389,537,248,693,134,163,130,319,469,621,
886,159,224,301,112,135,973,720,386,627,803,183,855,275,434,718,276,297,297,
168,477,845,527,372,604,570,655,520,205,269,299,696,949,947,008,770,348,436,
275,556,809,966,124,942,335,057,547,391,312,663,813,244,325,401,077,620,283,
869,580,363,639,618,049,985,482,090,015,844,195,086,065,065,065,640,889,935,
470,474,554,387,410,863,816,919,929,141,927,274,973,804,176,508,603,013,790,
281,318,918,467,987,619,635,223,822,966,513,628,849,963,796,438,906,670,076,
175,952,783,354,213,387,555,014,981,807,984,818,607,394,849,980,662,141,061,
446,452,355,915,793,480,805,162,515,633,816,828,215,566,434,692,021,623,289,
645,829,355,281,112,341,743,690,001,682,563,005,269,845,933,849,693,040,045,
550,497,853,065,575,870,224,673,078,510,994,961,332,896,552,912,733,359,862,
060,878,227,775,964,351,854,289,122,515,685,049,008,151,448,411,669,592,416,
598,193,887,504,502,819,548,484,785,261,872,528,684,978,313,212,296,233,530,
983,617,757,144,836,752,875,077,988,880,854,842,411,327,345,057,665,616,807,
622,551,355,026,367,425,251,742,593,209,873,141,113,569,069,305,289,762,470,
945,976,683,726,245,395,580,393,302,655,863,229,763,625,062,573,458,551,479,
390,714,685,100,467,459,375,053,901,587,882,372,679,145,054,353,825,897,634,
849,911,738,773,719,087,597,856,873,418,909,279,715,199,577,365,725,125,490,
896,525,125,090,016,706,552,710,574,191,119,825,968,298,856,084,309,536,739,
510,399,813,780,702,455,672,011,521,014,070,071,746,331,624,955,621,814,113,
905,774,612,443,929,075,631,006,516,364,996,222,120,604,084,998,609,086,928,
842,658,191,158,125,257,627,908,693,997,816,127,262,669,699,137,421,416,775,
895,356,369,628,345,064,552,452,031,682,035,236,158,761,509,237,593,840,819,
042,143,250,016,642,218,351,242,610,792,675,540,749,454,955,576,510,985,960,
697,709,136,837,991,387,547,216,510,564,036,013,527,370,989,922,715,769,676,
955,902,051,509,042,072,491,269,205,296,204,380,820,696,661,289,178,766,607,
901,328,675,477,506,768,299,541,856,375,578,458,425,937,138,215,501,025,458,
737,321,869,550,986,565,758,062,145,515,068,505,605,704,599,251,567,213,976,
241,723,805,042,976,391,128,836,576,482,113,790,581,283,213,615,252,937,130,
915,026,678,241,603,963,320,368,115,933,495,180,160,893,273,361,552,899,713,
470,684,203,552,720,773,590,617,099,149,840,774,166,355,245,977,238,299,956,
685,559,859,235,316,524,034,840,471,334,432,064,678,406,993,342,495,695,285,
431,503,628,820,137,857,173,734,429,658,532,162,095,381,588,975,646,045,738,
485,201,270,373,884,930,155,040,144,062,741,280,549,647,703,912,616,863,558,
486,483,664,484,719,585,464,462,678,275,664,948,798,363,721,561,086,581,218,
784,536,216,863,483,309,818,423,108,030,846,281,403,601,371,851,754,847,403,
379,468,479,821,328,573,013,855,301,599,508,540,743,081,538,618,275,942,283,
331,919,069,571,462,751,735,677,378,263,222,020,618,352,345,365,412,525,409,
421,183,102,814,013,761,446,476,681,039,907,060,143,556,966,393,950,362,455,
381,284,453,796,130,108,105,853,614,749,383,910,569,963,016,211,753,329,993,
272,526,934,037,909,680,489,722,112,102,372,955,466,833,021,687,608,415,997,
294,545,585,738,279,029,862,980,650,879,998,828,137,806,243,624,802,905,199,
389,587,320,734,436,100,713,241,854,327,956,004,990,650,036,147,239,494,508,
540,661,290,159,189,435,079,611,732,216,296,423,298,211,950,614,689,100,966,
541,867,882,077,933,524,029,814,070,764,884,526,742,683,554,440,140,749,399,
867,666,195,841,179,183,917,969,206,297,613,636,855,064,907,210,119,754,815,
199,284,320,027,693,620,744,649,968,084,836,443,037,439,772,008,568,757,704,
971,685,667,120,883,622,732,562,973,402,575,631,958,461,130,809,101,525,112,
247,924,134,699,684,413,194,411,166,680,665,953,881,141,267,166,949,641,933,
725,512,092,907,929,862,870,142,539,460,098,547,470,938,527,981,665,554,741,
932,599,283,500,242,524,773,126,289,368,094,713,365,877,629,696,809,032,251,
891,844,088,651,073,253,892,189,294,127,475,641,033,580,939,545,754,696,769,
630,200,635,747,648,894,234,509,584,939,831,009,354,213,931,511,573,854,170,
586,248,655,330,944,652,345,589,607,357,567,933,303,547,245,230,476,100,967,
267,128,088,505,501,648,957,058,304,031,766,978,321,120,581,043,409,204,382,
968,441,809,323,729,219,351,505,474,367,906,126,643,221,036,922,139,599,316,
473,861,538,527,514,185,015,084,504,823,729,221,349,922,999,188,508,026,801,
964,655,588,563,176,683,340,059,077,389,664,237,922,497,365,392,646,084,418,
418,793,927,580,342,607,066,288,062,791,162,059,156,364,997,813,301,581,756,
955,386,911,758,898,716,365,787,444,140,113,281,619,434,444,187,727,725,212,
011,236,746,686,832,121,804,152,314,573,532,106,809,450,518,185,257,077,015,
536,538,285,713,869,010,656,650,226,509,431,230,896,474,293,135,768,537,009,
232,759,894,106,577,691,037,048,564,437,666,156,079,885,326,779,491,053,582,
883,861,418,533,650,665,704,328,559,929,504,476,692,813,101,387,082,892,187,
002,869,058,096,175,545,158,294,933,737,327,288,306,774,868,012,577,784,054,
054,212,827,698,282,609,515,348,393,067,625,102,788,547,543,764,631,081,344,
558,507,808,301,655,075,865,623,305,790,551,903,259,295,228,956,155,390,193,
813,945,127,296,533,723,853,809,052,791,368,296,731,658,931,511,186,554,461,
355,862,487,271,280,633,791,387,448,812,893,640,497,360,792,542,482,501,345,
978,115,600,465,025,156,937,184,623,058,524,269,864,536,859,914,710,589,305,
092,109,107,257,745,541,281,377,483,691,705,696,053,728,737,935,628,135,848,
971,124,415,809,387,219,823,807,748,094,123,976,390,161,019,792,948,267,526,
812,500,615,040,774,360,914,851,870,505,723,738,414,797,440,039,673,199,321,
489,827,502,395,487,761,262,684,307,542,870,324,400,128,095,989,704,643,513,
370,978,282,641,051,455,606,093,585,603,576,870,604,683,068,233,436,616,332,
745,282,494,975,810,272,973,616,455,252,787,119,898,402,564,605,011,628,990,
407,172,525,752,715,190,123,262,421,765,580,410,092,774,362,636,820,691,950,
815,009,400,535,948,750,288,349,182,980,745,254,476,646,819,240,738,478,646,
436,012,874,307,292,996,651,959,393,891,297,177,260,508,073,604,685,190,042,
772,308,689,879,001,688,567,296,770,850,240,225,627,998,532,509,798,817,937,
410,667,842,387,000,441,657,267,628,173,440,956,867,686,275,245,011,948,135,
045,774,428,736,117,598,014,658,697,370,922,659,552,786,003,789,947,930,056,
708,758,895,363,117,120,887,600,123,173,120,248,828,311,971,899,956,115,197,
880,280,180,309,766,522,580,654,874,536,824,807,220,866,789,232,595,345,599,
475,543,528,204,168,554,196,212,785,408,004,803,620,784,235,698,838,943,788,
361,624,563,618,102,300,253,043,223,307,437,595,259,171,056,558,704,830,050,
795,503,740,474,353,279,959,489,473,189,981,738,726,745,965,845,588,056,062,
236,487,827,295,333,538,721,204,905,350,358,104,558,265,869,488,570,814,751,
248,666,072,774,096,891,554,181,111,689,408,185,448,636,614,504,459,544,643,
001,072,390,355,487,327,508,412,285,936,591,477,999,546,585,375,655,362,389,
182,475,646,494,148,270,012,474,486,020,478,029,746,832,330,959,073,149,831,
744,032,115,413,065,308,294,155,681,382,215,369,723,925,921,309,038,020,712,
067,175,844,802,907,197,492,768,862,249,151,670,242,238,808,890,262,575,732,
662,645,954,910,127,488,880,144,055,858,494,133,678,046,599,044,900,515,922,
242,211,805,661,510,611,167,183,133,385,627,477,613,870,592,862,656,869,124,
928,082,566,476,802,262,326,102,208,541,658,904,859,639,208,148,411,411,738,
475,833,411,879,344,171,716,711,958,514,168,787,049,799,402,402,264,389,117,
159,971,232,509,894,853,757,381,531,812,119,976,843,665,170,031,424,674,926,
867,916,706,483,338,534,529,252,189,879,278,111,429,513,139,068,357,198,516,
569,788,511,088,055,491,390,103,481,091,851,858,529,078,143,334,923,238,676,
607,297,566,683,222,307,873,774,952,246,938,730,620,056,074,412,600,695,572,
970,517,448,518,903,355,223,882,650,489,894,915,606,777,962,393,185,346,720,
241,996,602,956,153,142,088,278,118,218,438,623,187,741,664,248,510,702,125,
131,625,981,971,554,765,782,080,233,786,954,031,914,315,577,235,509,320,536,
565,164,754,388,807,991,206,276,921,948,075,596,111,728,505,840,483,330,129,
099,412,804,538,468,434,572,234,926,149,158,214,380,254,094,110,421,626,856,
842,154,357,377,801,119,109,528,069,895,764,935,656,739,658,434,721,130,850,
117,884,241,381,983,064,840,400,416,555,048,057,126,981,380,538,865,768,267,
414,973,186,017,237,822,932,590,243,287,500,025,224,088,041,499,040,922,008,
119,149,206,015,361,412,325,583,066,172,759,076,310,936,051,010,707,135,797,
808,414,974,290,896,456,486,414,275,278,509,977,385,365,003,747,024,192,449,
044,549,574,944,456,600,463,032,244,029,540,190,408,569,857,891,598,670,773,
977,847,903,735,821,777,333,547,979,689,650,511,133,257,140,886,717,810,710,
788,553,695,756,686,309,183,993,252,431,200,369,166,165,606,188,755,516,820,
134,376,516,205,084,960,589,902,486,382,937,453,238,641,019,424,013,169,879,
488,825,659,656,708,699,935,124,752,119,270,624,894,340,770,503,533,957,131,
908,067,450,941,054,242,975,504,069,692,354,640,988,010,850,347,429,138,755,
220,022,869,764,419,020,360,135,529,245,037,345,964,617,963,986,011,095,671,
845,113,688,349,825,244,691,545,470,184,318,202,078,654,683,028,825,734,088,
349,776,326,101,814,430,541,261,832,167,732,907,866,828,889,741,117,801,007,
677,812,481,620,535,333,925,608,309,745,209,379,566,768,191,511,661,184,967,
371,918,279,906,096,156,011,785,987,036,022,918,417,148,691,350,901,127,236,
560,248,247,936,230,770,283,331,746,704,291,550,199,576,959,760,496,854,514,
687,221,431,856,021,825,590,401,377,153,979,985,806,516,931,695,357,174,884,
754,235,799,981,359,365,406,694,860,963,653,515,461,982,409,860,796,641,187,
889,594,485,072,994,713,251,028,162,668,487,946,227,316,815,026,342,273,710,
032,359,640,604,408,342,747,745,778,703,051,480,635,140,743,085,495,339,960,
778,862,284,865,214,395,102,206,503,835,935,853,845,540,672,164,827,451,764,
573,673,411,851,251,820,729,415,338,927,448,953,080,407,074,239,668,334,596,
941,440,843,118,869,205,019,352,480,220,691,057,332,456,906,614,253,757,604,
728,539,958,210,781,262,836,921,090,666,699,433,192,284,538,795,665,781,246,
852,539,194,297,755,425,416,029,009,750,840,050,494,963,502,354,519,122,646,
029,062,519,108,681,258,326,027,170,489,505,673,437,331,944,709,957,735,227,
860,890,084,927,985,123,640,132,533,990,928,991,613,042,989,782,397,525,795,
653,818,031,160,431,320,049,802,450,924,472,380,668,203,750,569,175,181,246,
020,013,811,931,547,177,862,374,157,002,953,446,273,532,678,289,607,277,772,
933,254,987,135,038,888,618,208,279,792,854,192,354,388,320,514,303,903,628,
578,418,891,836,259,514,899,496,403,777,102,609,519,301,739,406,986,881,365,
647,434,787,892,927,893,314,772,583,193,917,969,114,023,586,833,498,049,627,
182,195,904,179,740,000,141,170,984,794,513,628,172,839,152,048,543,451,216,
830,655,196,549,354,172,411,799,221,377,082,218,730,399,850,630,779,890,257,
062,698,912,242,604,886,174,790,886,979,199,906,557,812,462,652,101,736,056,
750,010,979,066,388,905,033,281,209,335,823,374,709,178,554,076,986,759,257,
918,007,066,430,903,388,215,837,187,141,340,439,391,536,683,774,651,782,602,
103,681,522,988,942,137,655,759,983,915,504,776,558,604,283,510,862,054,537,
704,590,244,154,540,078,992,300,879,233,702,801,108,550,998,195,325,030,989,
974,415,020,014,605,088,660,645,881,086,938,401,491,938,638,347,624,107,411,
702,176,969,482,602,339,229,907,934,657,906,716,687,378,780,813,750,143,270,
241,523,668,543,999,384,565,164,231,247,458,549,090,613,722,150,685,896,470,
977,812,898,041,896,412,792,136,253,023,034,892,235,030,779,082,203,301,543,
290,293,296,236,360,230,791,541,790,693,346,679,171,250,930,800,025,591,443,
053,891,741,862,389,834,217,086,219,838,696,528,037,621,621,536,348,566,389,
275,052,826,671,546,574,530,036,370,286,268,420,641,442,992,905,324,085,846,
474,657,031,397,216,979,019,704,568,469,350,932,761,548,527,049,991,460,441,
607,807,378,736,882,489,091,526,213,674,533,604,959,872,666,878,871,028,292,
756,240,541,707,687,931,812,020,580,909,571,386,532,495,006,610,248,870,131,
073,048,495,289,737,988,135,270,374,549,525,330,441,823,856,981,000,760,043,
286,620,419,771,421,254,961,827,056,025,951,180,668,938,887,494,239,872,448,
869,803,124,321,414,940,118,442,388,784,055,238,405,740,917,359,748,062,930,
870,153,022,558,240,604,576,587,403,586,568,015,896,563,326,435,675,372,783,
190,003,049,288,679,541,191,566,697,329,082,009,358,468,420,910,231,864,160,
777,481,148,827,131,698,208,809,116,091,436,779,274,087,194,959,360,621,204,
486,088,388,639,377,751,591,044,170,778,048,964,738,495,045,476,621,608,097,
227,419,031,041,888,192,747,907,142,380,815,360,697,828,853,917,809,233,291,
500,180,092,852,622,887,379,554,430,391,602,899,701,272,573,016,339,200,970,
116,627,799,228,381,585,365,989,204,168,650,666,259,077,842,342,947,067,028,
756,295,188,582,408,365,041,836,243,987,426,746,821,628,181,326,711,526,670,
276,043,343,646,277,346,639,585,780,522,808,686,671,398,165,948,883,322,299,
093,194,297,438,159,308,012,565,340,297,473,604,686,374,213,245,920,281,282,
752,059,581,155,985,748,172,521,827,596,865,982,000,945,810,945,065,135,596,
569,671,073,342,223,646,779,882,157,029,990,271,686,470,586,932,576,341,435,
183,893,361,294,227,273,634,111,819,335,734,057,449,583,082,541,319,553,832,
016,516,587,174,823,636,550,538,071,983,874,092,242,268,734,535,205,855,430,
376,304,625,717,151,452,824,325,530,031,704,733,631,362,331,862,261,789,814,
467,807,348,247,312,784,225,912,122,360,451,157,263,080,027,205,745,263,854,
354,629,368,533,102,753,978,445,932,672,508,438,674,072,286,468,466,887,230,
260,977,234,146,635,289,225,216,329,795,484,474,478,149,987,516,465,604,159,
327,910,645,370,338,577,924,550,590,973,901,905,688,525,723,989,951,026,972,
174,872,271,941,619,727,497,761,877,737,601,973,173,655,699,894,449,104,112,
268,003,059,182,058,678,280,559,630,482,554,964,735,981,606,383,072,488,079,
354,048,485,868,471,175,165,575,850,594,187,023,041,920,280,547,990,151,492,
333,610,745,950,652,418,509,427,916,638,980,233,331,396,169,390,116,865,474,
724,836,720,627,088,181,295,489,162,222,292,243,311,148,182,661,941,936,994,
411,413,391,662,937,685,842,682,733,969,429,670,101,355,148,825,909,975,959,
070,075,342,461,884,482,540,361,239,413,401,294,415,574,258,405,530,925,546,
986,001,179,151,226,334,547,290,749,935,619,251,130,559,465,555,415,705,895,
485,968,613,164,208,504,339,384,195,626,338,200,617,224,745,468,594,739,899,
009,892,666,911,765,523,787,805,300,402,077,138,937,140,036,730,098,807,661,
314,582,172,207,734,567,399,463,912,722,457,892,778,573,595,998,288,300,536,
855,852,578,807,070,580,217,766,237,315,870,678,964,684,984,143,360,760,621,
832,261,024,824,767,837,363,820,730,444,366,896,660,046,570,222,624,851,702,
360,998,232,044,348,972,940,394,881,599,436,733,183,041,155,479,495,986,664,
223,955,381,959,590,969,907,408,970,187,910,432,919,180,787,230,573,391,854,
594,878,634,695,827,994,437,777,475,395,533,681,529,016,828,560,625,833,220,
406,225,938,969,444,320,102,357,908,504,788,865,938,789,297,049,899,452,469,
672,686,400,422,535,316,142,912,559,648,135,823,740,011,623,170,089,457,596,
458,741,660,160,819,936,795,140,523,399,775,532,034,803,877,113,617,717,845,
449,086,060,413,161,492,430,150,128,745,272,089,933,327,399,008,461,907,606,
332,511,206,565,011,176,994,815,291,476,713,800,589,922,296,325,630,297,555,
774,352,222,235,431,839,385,772,120,459,028,605,456,098,238,675,148,260,008,
761,058,528,327,104,832,321,827,995,729,582,774,341,453,523,461,919,211,654,
511,882,965,375,007,276,000,257,664,601,340,820,019,201,811,196,235,803,724,
740,745,705,345,134,817,082,110,617,329,817,130,960,980,875,859,823,943,567,
940,896,529,270,080,831,119,416,588,370,907,129,742,638,507,447,337,325,316,
777,233,763,381,115,214,036,901,993,295,390,196,772,835,558,177,729,326,973,
758,433,412,734,179,077,483,616,610,052,585,520,116,265,880,440,286,136,088,
574,692,043,273,601,279,373,152,923,056,107,091,887,835,693,096,708,120,900,
917,496,244,515,371,989,924,546,458,513,133,987,715,502,988,078,461,287,092,
024,989,257,358,926,314,559,372,348,808,986,285,951,154,949,877,233,774,168,
194,709,362,095,471,274,846,328,428,467,738,129,164,452,097,374,274,980,101,
045,328,322,207,889,514,884,145,927,022,593,303,484,608,829,333,964,334,798,
077,248,327,436,662,925,083,846,701,839,525,009,045,641,660,148,842,139,881,
785,052,299,057,652,499,398,298,923,745,590,595,961,175,171,988,140,781,722,
214,868,231,133,047,077,905,160,245,826,700,279,596,003,181,964,922,655,874,
628,385,977,231,474,348,707,633,309,798,178,496,242,875,391,259,931,058,284,
878,290,570,347,467,671,890,172,398,931,629,600,107,542,652,751,525,569,221,
838,609,862,429,055,128,593,011,591,957,759,429,838,615,948,054,346,005,108,
917,720,614,685,933,083,409,207,191,637,059,677,861,241,885,541,859,090,038,
812,172,227,325,612,853,901,393,277,306,292,553,486,763,860,292,418,835,610,
046,690,827,919,945,009,975,877,883,216,590,739,327,328,086,597,831,940,899,
800,078,314,604,474,153,644,678,409,018,324,662,189,539,851,619,066,897,614,
172,241,569,919,226,509,047,124,946,384,058,458,080,124,704,766,018,597,285,
726,963,123,639,179,394,173,084,600,622,697,570,419,174,597,047,567,105,008,
452,931,969,202,511,594,895,155,716,838,554,372,410,739,992,389,382,985,329,
496,179,833,259,350,127,746,042,244,743,605,249,427,686,606,446,613,042,577,
527,995,998,636,975,103,136,636,986,172,411,212,881,054,243,227,609,835,246,
297,235,125,249,114,786,199,984,755,048,231,019,302,181,824,203,628,588,180,
977,672,055,296,282,239,802,952,439,305,668,256,540,805,782,370,069,667,444,
957,240,946,019,215,664,172,435,335,749,500,833,270,989,693,680,038,329,451,
306,742,240,629,073,954,306,890,134,860,279,024,298,669,224,267,078,414,679,
336,007,995,318,226,026,086,156,320,881,883,782,497,035,770,028,017,843,824,
071,459,387,289,720,081,106,117,296,061,083,657,934,604,979,053,940,686,250,
323,846,516,129,058,917,533,851,669,644,183,470,000,440,050,129,942,014,517,
623,744,312,369,001,514,500,302,941,073,604,831,099,353,259,190,176,143,958,
582,038,663,494,551,900,557,911,343,395,710,152,812,838,285,320,497,409,715,
188,757,522,456,338,312,600,866,621,956,454,845,003,003,266,977,090,923,750,
056,163,426,919,385,353,103,945,175,998,677,842,084,942,194,344,693,890,939,
815,977,821,292,494,633,599,531,504,660,722,457,940,455,538,224,952,584,053,
477,374,206,396,911,361,114,734,849,970,159,196,065,322,187,154,476,536,693,
617,120,595,268,963,841,837,223,617,824,920,796,964,503,863,543,223,833,294,
434,441,111,284,013,318,324,306,604,353,169,069,267,852,272,546,919,071,751,
383,451,807,262,565,436,304,711,509,170,130,645,551,335,620,633,707,053,125,
007,080,669,411,896,656,810,089,476,236,632,506,977,767,987,801,516,725,343,
388,082,180,752,206,767,187,727,808,428,620,941,647,918,965,557,410,521,070,
756,746,317,197,481,055,538,167,487,325,224,261,578,635,489,397,623,223,780,
029,324,056,290,754,691,395,767,503,765,811,958,612,014,044,764,777,595,773,
236,935,277,921,063,088,565,097,279,511,063,247,393,059,395,906,280,379,569,
247,137,566,249,583,143,509,538,908,687,162,156,263,930,304,199,361,897,037,
117,651,598,224,544,213,037,856,781,413,567,567,511,651,201,114,645,521,350,
130,816,464,285,756,579,181,123,204,044,042,501,620,822,002,900,015,723,380,
676,984,334,118,398,520,119,673,952,805,654,340,540,865,154,824,776,656,044,
449,486,204,839,499,248,410,569,409,488,087,256,741,754,681,256,269,136,810,
168,024,592,173,694,560,762,794,192,909,152,576,441,790,538,576,371,165,209,
446,970,111,485,924,041,880,765,139,396,606,741,348,590,594,978,255,254,328,
986,358,461,897,843,648,479,650,465,069,653,476,085,990,052,183,220,724,104,
473,550,798,570,637,646,312,027,912,917,864,660,211,459,281,518,478,467,886,
100,761,911,771,226,047,510,935,198,525,761,447,977,460,457,835,444,492,322,
968,771,285,545,987,181,586,021,579,125,179,366,952,805,981,559,773,788,757,
815,209,164,967,417,860,147,249,642,815,875,374,627,245,544,020,143,499,930,
406,163,550,900,012,283,307,827,183,700,920,393,190,242,609,188,493,659,102,
126,396,996,295,164,007,662,773,560,217,474,776,398,020,419,791,162,744,295,
966,612,969,238,387,055,758,916,149,646,497,436,479,224,073,102,458,448,058,
337,594,064,195,319,933,679,784,025,828,875,358,161,155,514,766,254,480,650,
125,854,841,456,355,160,527,529,683,638,771,905,011,839,090,995,758,186,407,
511,874,960,728,957,754,820,309,770,286,349,201,921,779,749,195,393,084,100,
867,960,113,594,538,003,806,400,875,610,312,445,742,399,817,416,679,499,816,
904,997,508,230,921,943,897,855,520,361,508,612,635,281,089,770,121,626,515,
725,048,952,195,788,227,144,871,138,844,712,899,507,867,022,848,915,515,596,
803,032,097,558,862,368,649,899,266,374,517,289,903,530,019,578,693,005,471,
695,930,118,180,897,595,949,051,555,502,876,752,040,450,821,296,317,630,430,
094,133,503,673,656,705,168,196,740,962,151,828,161,183,738,056,441,216,078,
378,040,854,822,854,332,095,576,429,850,257,112,707,255,401,968,549,630,247,
097,075,487,056,276,856,493,483,615,004,192,273,486,894,736,014,633,241,709,
592,022,926,957,348,150,771,333,229,310,864,012,969,898,888,144,698,583,269,
997,293,804,115,628,454,880,149,682,074,621,658,575,147,019,977,728,759,088,
088,636,972,810,548,622,003,981,737,568,498,645,994,587,061,935,814,511,028,
052,543,568,072,903,773,219,537,039,073,356,456,237,602,462,936,596,484,918,
602,115,605,689,650,872,121,727,692,889,898,356,688,825,983,348,948,620,480,
755,699,160,515,259,182,680,824,131,112,246,690,615,966,646,914,840,419,692,
283,262,777,451,248,658,791,654,277,757,875,249,423,793,826,311,675,764,266,
152,342,855,823,827,967,768,563,879,451,518,979,386,552,696,947,684,841,439,
675,717,213,625,111,164,574,071,833,417,629,477,043,440,499,087,449,163,127,
772,120,301,765,194,197,740,609,287,910,907,624,493,600,201,202,987,542,129,
062,196,759,187,994,612,337,669,568,092,888,202,698,376,522,786,469,462,765,
280,491,169,128,832,927,701,691,849,544,913,244,246,437,435,112,996,894,942,
565,600,199,113,274,338,380,502,021,895,119,782,225,887,679,492,250,538,143,
904,322,249,831,695,928,087,434,359,961,534,764,390,038,433,555,162,296,027,
946,922,740,514,349,079,639,722,718,738,513,788,846,514,678,113,616,294,604,
286,897,903,960,306,570,238,980,333,684,695,771,042,867,421,703,168,682,392,
055,085,941,699,894,561,074,286,909,324,092,058,835,462,123,034,235,488,250,
796,315,620,013,374,202,207,076,333,087,948,217,588,066,165,223,659,411,898,
936,452,229,754,451,941,285,194,388,870,298,499,713,974,679,164,926,582,689,
170,156,607,695,364,959,884,821,800,214,838,931,732,793,622,105,920,680,557,
381,633,473,767,310,172,183,856,465,787,771,884,356,937,661,095,989,321,693,
139,796,286,600,408,375,827,688,861,706,317,801,441,229,218,770,224,631,322,
675,818,342,300,274,332,187,819,363,592,246,090,830,457,254,435,828,043,549,
263,331,087,827,657,378,089,357,976,891,332,906,348,334,841,411,318,828,151,
558,565,545,051,151,492,177,721,426,411,502,274,228,151,191,678,129,128,901,
162,086,250,347,775,388,191,508,888,054,206,116,719,189,748,925,787,805,507,
335,734,498,145,826,643,608,881,698,367,435,720,443,444,625,618,944,446,709,
985,643,416,819,860,648,229,371,327,391,766,832,718,717,774,480,810,640,210,
847,742,066,162,532,769,202,516,415,640,491,149,946,619,064,684,276,943,828,
966,417,441,967,228,821,257,734,708,809,999,017,019,882,443,987,718,793,857,
442,461,312,485,714,675,032,496,868,087,802,803,264,166,237,587,609,787,084,
113,733,380,947,031,286,724,347,988,901,959,247,556,464,135,083,957,057,039,
835,341,237,380,300,327,296,469,953,044,605,658,215,652,105,030,637,137,491,
875,243,696,339,244,069,414,067,664,640,440,914,398,280,647,448,079,732,003,
135,726,132,522,900,254,575,796,115,767,198,467,864,202,103,605,291,767,736,
360,007,745,274,214,323,303,577,215,993,885,916,557,535,210,830,231,361,108,
248,388,821,198,143,159,748,481,199,450,612,020,945,603,415,976,281,887,541,
165,358,364,243,185,561,251,649,548,821,352,216,268,623,405,444,868,224,648,
760,804,847,054,969,563,818,303,709,464,568,011,625,100,902,697,952,502,900,
478,102,274,828,784,004,605,506,790,237,081,570,255,078,763,455,595,495,949,
742,918,196,673,433,748,362,172,605,488,496,587,243,973,709,076,527,923,708,
661,319,061,469,706,101,574,974,954,032,612,804,073,065,433,936,209,234,519,
046,207,401,978,077,857,329,737,482,599,734,482,735,494,352,416,609,259,522,
488,544,926,403,545,615,666,340,867,815,599,759,764,431,567,991,257,926,419,
800,467,522,196,847,912,486,628,327,612,449,188,837,020,535,212,261,611,490,
771,701,607,071,311,324,134,580,998,182,419,211,606,080,725,991,940,294,239,
367,757,319,164,684,490,309,308,862,070,005,811,816,561,176,207,829,119,941,
668,532,251,057,908,357,909,442,600,492,379,748,565,746,391,241,675,549,712,
457,399,448,713,394,612,638,436,428,262,549,665,868,575,641,406,029,218,722,
572,519,663,109,082,994,696,152,112,648,359,146,283,124,671,503,490,662,186,
841,153,501,415,270,041,317,849,520,141,167,961,825,072,296,838,359,194,435,
301,728,663,563,872,891,385,592,286,114,506,671,379,738,890,847,767,586,152,
211,462,607,801,972,026,556,851,431,924,069,480,270,328,472,843,556,190,659,
012,759,794,758,555,562,582,763,969,830,569,766,301,877,003,394,759,874,145,
265,919,979,416,529,203,123,618,804,781,198,803,869,430,962,773,156,005,085,
992,640,896,598,634,186,792,799,214,210,906,487,702,498,709,519,111,590,582,
967,795,771,643,523,100,773,601,135,682,173,799,331,781,921,585,047,543,027,
592,681,740,178,411,283,709,060,738,385,513,718,726,134,918,689,866,672,329,
705,626,882,998,000,279,502,288,926,316,814,153,818,697,344,335,641,382,120,
538,665,469,239,181,154,560,745,385,561,647,552,037,302,823,536,624,760,180,
807,121,391,458,084,266,499,973,743,960,522,099,690,609,591,032,005,787,415,
295,565,211,831,224,370,960,706,400,940,571,688,177,479,642,797,765,612,831,
799,556,503,054,317,713,957,835,891,271,646,013,857,152,681,699,871,415,839,
709,486,928,659,602,381,468,562,548,419,143,885,288,599,397,443,037,118,028,
346,807,937,547,967,940,134,108,993,130,567,852,617,313,190,121,578,288,203,
110,840,177,228,125,677,085,967,456,443,780,128,012,746,704,843,946,974,290,
094,506,339,216,489,298,298,827,518,386,313,468,910,700,435,078,494,971,865,
706,952,895,858,487,530,714,587,635,772,167,987,217,699,639,582,708,761,593,
674,857,859,784,722,130,536,139,668,858,886,655,483,980,368,555,532,601,898,
224,104,858,288,744,466,105,188,621,298,563,038,989,969,578,665,006,689,879,
205,801,443,630,292,415,302,954,591,709,448,456,826,476,195,499,799,718,640,
165,020,382,325,233,792,083,864,019,178,712,275,785,169,074,681,715,893,262,
437,230,120,224,008,405,262,648,700,221,938,188,427,783,697,172,909,354,326,
115,031,622,655,683,167,709,837,391,104,776,122,495,782,692,535,402,535,739,
389,621,594,805,607,953,430,620,662,447,957,587,247,623,749,991,264,047,201,
488,056,308,924,764,152,706,707,345,310,215,203,502,767,141,039,131,585,021,
068,321,229,730,139,195,908,961,602,494,322,669,058,317,789,098,275,213,523,
311,939,904,985,979,161,827,469,945,741,083,551,273,957,696,261,287,866,456,
768,609,093,324,206,144,943,135,266,863,777,441,148,344,848,462,589,277,797,
498,792,778,001,618,437,978,937,083,545,132,178,108,611,631,958,820,414,367,
072,947,051,143,142,977,063,373,813,363,294,699,553,510,864,886,968,778,917,
825,033,339,668,029,193,196,523,360,853,918,135,762,872,984,045,360,505,176,
082,196,432,506,289,196,558,068,646,133,983,094,974,412,998,375,715,897,261,
914,445,164,352,808,679,094,861,733,281,419,148,058,238,659,204,972,511,193,
516,171,470,712,542,425,116,350,191,982,140,630,565,375,458,773,850,787,791,
054,258,265,392,778,684,060,286,552,661,745,729,680,673,912,155,615,727,730,
408,177,378,676,696,988,161,766,663,616,829,313,095,121,317,156,726,366,748,
382,805,455,102,518,572,926,671,753,033,037,691,693,137,740,536,562,108,779,
173,090,280,639,638,270,273,318,496,837,250,080,265,477,596,159,716,332,204,
074,681,385,680,068,134,507,945,212,651,588,666,470,459,083,862,306,830,652,
562,786,384,842,929,960,139,032,343,207,918,492,560,990,089,497,214,628,222,
191,215,820,473,721,577,826,477,565,813,036,741,489,273,711,019,655,101,905,
800,900,056,889,713,364,446,994,188,838,088,759,644,182,004,381,046,090,779,
161,452,444,993,109,071,008,638,854,369,546,878,140,267,754,278,612,241,196,
089,921,139,649,424,392,468,282,873,841,597,479,171,984,421,698,501,050,001,
038,163,360,265,228,096,888,794,395,132,418,195,654,443,852,956,464,343,690,
549,920,815,512,137,657,151,488,659,236,177,633,471,255,236,112,186,394,454,
461,175,867,407,550,497,869,796,809,312,868,118,395,889,149,351,443,148,342,
735,739,500,152,509,598,181,876,470,078,157,535,571,993,874,376,297,016,538,
282,515,138,297,911,507,383,367,138,888,627,744,115,297,028,312,005,728,048,
929,237,606,131,872,605,037,713,968,171,053,601,748,947,317,503,660,165,252,
690,353,791,670,268,390,459,690,833,996,457,297,731,549,348,233,718,140,261,
542,491,909,326,645,194,368,709,809,001,109,460,192,402,152,347,733,521,716,
238,405,504,394,059,183,830,150,562,772,860,315,159,985,318,248,020,548,975,
454,880,487,821,033,793,178,497,844,343,071,124,654,838,561,927,203,439,655,
520,941,776,724,214,515,219,722,660,395,641,991,907,861,679,043,417,670,835,
117,483,452,229,447,146,846,042,712,264,845,709,527,962,689,917,394,126,257,
118,401,521,776,530,834,092,121,643,932,672,627,523,758,592,228,421,505,810,
993,034,284,262,232,718,724,065,756,985,919,842,520,385,949,691,783,441,734,
069,668,706,990,246,090,306,466,489,682,867,486,539,921,604,494,788,943,765,
777,956,460,526,230,692,053,038,222,975,285,262,045,445,100,314,583,702,816,
280,562,762,350,476,038,038,515,365,321,367,039,086,883,034,926,934,807,234,
221,821,074,759,814,011,313,022,725,637,971,172,842,038,190,399,013,663,223,
348,863,148,169,469,897,357,101,269,876,100,829,220,594,766,590,958,120,763,
708,466,429,270,280,165,826,106,571,266,896,032,231,685,329,915,396,443,296,
597,637,011,798,464,180,562,843,392,768,717,493,300,206,643,801,248,311,417,
011,758,861,914,851,603,061,107,387,464,295,205,559,707,345,230,068,007,795,
460,106,804,216,613,166,169,526,834,588,408,443,351,164,392,098,341,235,993,
163,611,200,271,188,086,277,541,653,260,831,349,133,328,709,610,616,729,720,
669,973,095,589,229,854,259,242,361,978,259,918,956,043,261,172,304,534,120,
908,498,653,327,451,535,425,237,762,189,816,469,038,335,752,031,414,869,559,
779,318,275,921,211,257,491,211,784,377,644,866,643,680,102,822,086,922,680,
910,904,579,805,654,604,753,017,634,496,643,284,970,386,650,087,485,733,584,
835,720,168,242,524,018,882,092,703,863,132,751,124,092,196,061,092,596,647,
328,666,631,527,826,944,088,890,985,242,529,125,828,870,734,111,608,433,576,
862,194,473,066,584,404,839,738,532,572,727,407,213,842,177,577,554,270,301,
575,169,091,831,528,178,527,878,870,206,444,694,352,620,576,076,423,165,327,
812,211,743,297,645,455,297,670,960,652,144,150,945,934,974,750,939,928,484,
703,642,448,061,022,288,369,445,536,834,410,643,710,449,574,979,742,456,062,
863,864,375,285,846,959,211,218,244,738,468,269,085,782,814,592,592,137,254,
135,791,786,432,077,079,814,941,460,992,081,331,987,726,368,117,460,958,102,
407,616,650,668,977,766,542,312,980,947,823,221,370,032,994,748,395,240,846,
329,174,876,217,497,175,872,409,339,997,232,804,836,065,617,865,802,493,031,
480,689,895,090,192,558,534,240,331,320,096,019,284,502,985,340,238,330,101,
795,098,803,131,784,446,769,005,352,005,549,404,788,805,255,884,725,575,475,
230,361,855,340,613,690,919,894,324,016,791,729,977,091,740,130,359,419,620,
157,754,878,821,614,991,787,532,779,472,555,005,630,011,326,405,951,270,433,
653,717,923,973,442,301,690,537,544,353,868,990,891,402,576,957,062,448,946,
246,990,223,069,437,783,563,432,575,712,759,583,300,962,112,174,577,798,645,
771,054,296,612,644,275,248,907,766,375,579,839,037,438,014,644,953,388,339,
194,893,681,134,636,534,906,970,564,208,105,475,941,985,589,466,041,950,446,
854,136,679,006,127,165,132,743,885,394,493,486,459,354,309,825,671,851,469,
908,261,685,731,030,707,948,865,578,251,955,568,642,383,397,069,295,418,972,
825,246,123,149,824,277,521,469,351,207,015,241,363,279,012,623,640,384,405,
126,785,673,031,328,371,799,344,138,930,603,122,355,700,916,207,744,315,715,
737,957,495,019,378,857,916,074,697,086,658,518,515,159,934,372,664,422,707,
295,221,853,760,520,108,154,970,005,757,790,269,015,368,781,980,801,088,499,
198,451,586,928,257,326,363,401,468,724,468,572,567,122,721,485,767,921,266,
978,589,510,505,554,541,245,426,262,557,814,536,151,648,546,882,061,340,514,
081,463,977,887,395,914,079,735,452,750,942,376,465,169,241,696,713,699,502,
591,388,677,937,193,160,581,573,927,002,017,340,358,787,549,539,576,682,537,
168,059,033,025,701,654,640,162,082,727,394,330,797,981,320,108,538,952,326,
697,414,617,495,381,621,821,253,639,794,357,430,393,554,050,922,533,454,429,
624,257,986,685,255,097,058,152,574,374,403,930,812,194,013,963,019,558,783,
518,423,033,068,896,510,357,485,079,787,894,276,511,313,380,905,232,735,578,
485,551,088,333,036,204,844,716,899,293,872,199,112,324,420,452,242,934,766,
731,857,505,013,974,649,458,966,574,645,265,353,921,910,891,085,639,547,013,
582,107,316,618,744,787,402,151,988,161,674,501,799,781,113,743,321,751,486,
570,898,810,926,544,315,897,329,971,474,720,756,392,792,991,938,850,433,154,
136,590,704,904,068,601,405,683,689,142,274,020,013,984,394,288,704,409,354,
402,688,763,650,237,178,518,120,570,294,702,852,170,701,944,236,756,868,864,
480,369,519,801,819,451,914,693,624,101,211,920,747,882,293,296,492,258,158,
287,854,358,324,853,522,053,226,099,415,659,331,723,385,839,604,711,281,031,
008,187,547,898,485,405,274,200,357,274,743,761,499,399,551,274,176,221,872,
119,432,543,059,347,903,301,040,058,710,116,115,011,643,945,103,988,355,856,
151,681,006,197,386,418,823,134,421,430,972,024,524,540,064,375,869,023,063,
869,515,648,143,941,031,460,631,025,991,392,210,771,590,176,031,499,687,317,
895,444,424,403,736,842,977,457,396,108,371,831,413,440,910,671,973,380,442,
797,648,518,430,245,097,061,340,810,794,668,097,656,054,785,732,871,654,978,
980,910,450,511,493,049,382,521,633,921,014,443,920,837,677,811,365,438,512,
994,830,370,913,020,487,737,444,166,272,489,040,264,148,178,692,961,943,137,
424,808,776,115,452,457,486,233,855,694,091,182,612,485,266,877,294,094,841,
803,080,862,998,298,473,033,679,658,319,142,607,617,954,528,809,322,102,439,
908,360,683,534,866,449,904,649,321,956,713,820,072,589,527,662,622,110,550,
010,192,900,527,034,421,720,988,294,480,681,590,352,351,591,666,437,299,876,
410,507,380,483,503,226,383,864,919,442,448,296,104,926,207,790,706,895,732,
871,558,411,196,373,888,109,626,193,010,823,316,802,050,940,202,274,136,967,
354,043,502,361,791,786,546,299,902,336,904,757,288,074,254,601,727,049,004,
323,348,179,865,577,653,067,800,376,512,368,989,141,834,714,794,283,510,820,
253,775,911,825,435,449,851,237,504,897,106,976,160,000,266,662,251,053,183,
933,229,656,370,442,870,437,105,402,002,755,582,247,047,577,366,489,553,794,
117,933,293,347,493,420,336,051,424,062,927,594,630,995,543,341,594,788,817,
204,281,192,234,379,395,095,861,831,545,751,394,113,738,836,033,649,655,852,
711,939,065,811,287,086,660,522,419,643,064,302,948,942,229,317,728,286,289,
371,671,910,825,681,012,516,237,606,646,735,396,913,622,963,834,616,031,437,
835,431,555,399,674,249,603,122,571,973,455,804,922,690,370,688,676,692,616,
763,076,787,681,543,834,565,052,125,616,973,460,533,823,770,463,057,077,843,
649,161,566,645,058,780,517,628,053,795,807,732,851,136,138,562,419,273,723,
238,821,704,575,604,845,625,707,545,081,531,404,400,919,739,622,253,411,619,
584,073,002,997,035,163,809,126,646,895,472,980,579,448,954,723,528,719,202,
563,244,886,432,932,225,869,169,964,983,854,375,856,285,425,211,613,047,803,
501,311,000,411,937,057,866,152,922,587,170,976,344,784,520,698,801,638,109,
078,784,937,562,447,412,434,425,891,000,575,277,281,943,299,097,674,569,731,
522,537,677,338,213,770,883,649,754,914,717,686,347,046,098,748,874,928,756,
735,390,194,804,221,557,908,992,904,126,234,894,374,118,586,574,697,205,323,
809,509,970,223,632,411,345,198,230,706,296,703,226,403,462,435,946,324,438,
731,864,140,312,968,668,243,582,688,149,527,289,767,007,165,318,029,646,634,
326,179,247,395,435,843,538,653,286,126,882,730,172,581,162,921,224,833,271,
707,564,534,549,435,391,984,366,692,022,019,492,358,271,111,444,277,590,497,
613,289,016,510,239,311,031,117,331,865,636,985,819,993,571,066,531,205,651,
933,937,511,268,931,062,860,562,253,784,219,964,561,194,530,737,159,960,280,
383,602,299,728,216,972,478,771,977,335,672,848,601,815,928,409,320,771,399,
476,754,850,751,244,890,563,041,036,665,219,034,493,923,758,393,927,322,408,
215,945,586,836,930,794,228,473,041,614,748,797,334,182,025,931,102,187,752,
243,382,056,830,094,303,162,730,357,365,398,144,173,557,691,207,038,034,093,
689,510,459,117,543,370,335,091,693,301,215,693,839,432,018,533,955,691,601,
982,675,705,312,525,808,224,754,951,709,857,911,741,634,535,896,922,252,377,
613,315,865,949,841,245,325,423,964,751,321,675,790,862,354,187,431,655,024,
355,211,116,289,476,982,425,972,040,275,370,848,112,701,571,148,804,255,461,
479,648,653,451,214,663,901,874,937,223,623,673,495,011,111,072,769,787,032,
173,337,727,967,674,353,179,074,038,413,987,279,820,594,273,723,945,853,066,
910,046,164,878,736,836,184,481,324,659,390,837,830,063,764,426,094,985,255,
043,457,271,827,746,768,251,419,964,103,481,286,553,315,666,484,054,403,496,
589,524,977,783,034,725,877,858,373,671,155,199,286,982,013,814,699,296,490,
548,184,648,541,826,206,479,433,369,217,823,093,976,439,619,815,608,459,556,
648,601,835,026,688,267,692,842,243,378,767,816,041,022,570,045,763,565,246,
684,723,364,862,515,475,393,158,044,191,860,907,257,951,217,967,350,684,035,
923,204,154,918,533,780,194,662,399,952,509,566,092,654,711,069,076,825,609,
167,544,493,588,225,805,993,343,360,610,486,699,565,947,328,611,227,149,954,
217,033,615,186,194,226,863,410,218,390,481,260,580,701,735,073,827,554,384,
499,410,826,696,273,996,907,080,495,030,950,109,877,909,165,920,398,560,649,
876,263,337,525,154,748,660,293,966,936,288,361,630,880,125,104,201,820,006,
539,262,269,586,601,801,387,094,020,347,732,368,702,644,451,908,588,879,478,
658,395,954,369,071,148,512,537,909,544,799,345,513,627,727,247,911,891,215,
776,203,298,053,436,678,228,184,057,861,734,488,343,953,812,283,879,421,217,
672,082,787,729,256,320,367,744,720,206,958,972,494,743,958,566,845,143,793,
333,249,428,936,792,057,601,419,061,411,948,667,439,743,408,885,954,632,936,
632,551,160,006,963,561,209,508,472,038,055,515,764,463,847,140,732,016,952,
416,847,505,443,750,132,221,633,584,351,232,087,803,877,344,891,112,599,045,
546,118,387,841,091,376,133,202,817,631,300,547,554,975,938,963,308,173,546,
135,411,300,386,204,290,446,864,501,084,367,274,003,755,106,133,615,133,406,
600,498,833,159,128,668,513,463,296,135,179,561,716,470,711,479,556,305,857,
692,621,485,164,169,546,602,221,667,550,208,274,676,454,785,606,181,336,563,
424,431,738,858,061,913,427,916,562,570,114,243,266,051,629,460,145,131,717,
884,094,001,263,142,419,313,242,841,532,014,950,125,862,344,377,055,813,634,
806,525,568,169,741,735,406,023,847,764,748,137,133,062,090,521,720,591,320,
252,737,204,546,617,630,366,185,735,589,669,745,065,155,802,879,980,075,570,
956,774,129,129,377,257,952,930,586,539,972,427,208,327,624,909,546,792,441,
937,624,551,552,242,995,828,785,090,687,790,135,449,833,025,640,697,715,344,
858,149,900,584,464,240,720,034,284,552,183,455,001,509,686,606,001,099,316,
110,036,923,996,172,117,508,436,533,592,700,425,613,975,232,725,736,072,785,
554,041,245,353,120,664,531,556,364,685,487,559,745,910,659,980,735,595,887,
176,880,579,648,852,873,557,950,254,426,474,896,932,305,382,843,739,471,225,
362,257,333,381,475,383,458,993,921,690,434,754,216,528,243,134,314,369,586,
037,908,185,126,579,183,520,220,115,859,163,936,573,131,263,831,520,383,067,
675,665,688,577,680,045,308,728,880,533,827,871,485,734,746,939,302,121,803,
714,947,501,763,889,769,653,294,901,157,855,211,902,412,513,201,146,079,274,
254,411,684,860,038,703,454,864,682,309,666,361,927,632,352,689,201,334,820,
501,316,192,671,337,357,417,301,923,148,233,439,105,916,233,788,143,029,350,
254,358,036,656,174,868,111,432,988,807,375,885,046,599,566,114,140,520,048,
288,892,369,566,644,299,268,622,323,124,376,678,704,661,113,949,632,193,074,
795,166,239,648,474,962,496,558,914,547,489,936,786,346,309,085,023,007,143,
426,947,571,526,941,247,391,814,859,189,641,851,663,604,366,203,088,682,107,
413,251,820,090,040,286,890,978,205,275,030,754,217,789,318,445,037,043,556,
301,244,261,003,262,033,564,461,520,944,090,565,633,027,406,000,853,397,627,
911,177,367,143,800,745,850,146,879,559,102,189,388,731,013,303,285,605,982,
066,111,839,154,368,517,486,154,239,140,435,209,348,061,427,548,954,680,736,
899,118,230,353,230,495,024,356,758,743,907,884,769,378,143,382,182,798,474,
007,746,706,989,429,229,150,724,879,808,460,803,802,993,035,361,642,532,389,
525,283,995,103,564,146,732,582,163,323,349,720,878,769,569,801,646,550,678,
916,159,042,479,356,935,096,490,850,827,141,490,906,406,951,300,501,732,999,
421,787,157,509,123,102,585,909,892,289,797,870,857,045,429,853,553,824,478,
641,882,686,735,523,328,917,429,976,100,752,936,231,190,164,383,916,347,890,
237,831,120,198,632,320,118,512,706,729,123,795,686,060,082,814,279,581,592,
560,054,182,714,912,321,419,303,191,264,156,138,008,625,659,508,681,385,078,
577,918,411,152,924,826,927,462,443,816,984,978,051,432,433,813,996,563,934,
724,776,030,532,282,838,766,577,698,381,151,781,007,278,389,966,788,153,456,
341,713,435,990,574,371,692,229,642,984,470,829,707,836,812,017,659,039,688,
992,196,608,941,923,836,526,970,578,557,947,503,074,114,947,764,405,118,243,
428,860,003,422,852,088,838,562,594,340,943,380,952,579,698,679,777,780,209,
764,853,999,989,462,320,297,925,217,028,756,470,475,358,562,054,219,082,371,
866,907,501,977,187,608,987,200,384,920,603,486,159,129,085,970,766,227,185,
708,358,186,524,608,698,794,790,520,552,204,284,610,580,533,134,587,932,165,
172,137,656,891,540,150,069,528,417,697,867,090,757,082,223,665,586,964,476,
552,942,695,790,887,250,708,646,272,641,025,689,488,248,043,658,761,094,740,
083,780,870,253,181,189,344,022,955,441,175,467,102,484,881,618,916,003,542,
055,319,697,199,404,586,018,725,153,518,693,846,386,568,830,895,698,177,585,
129,521,318,969,362,972,562,393,729,869,673,555,494,631,207,356,737,216,068,
084,377,174,534,989,611,702,389,537,571,350,087,160,062,659,580,792,103,733,
454,203,538,628,037,224,055,921,065,076,917,965,093,685,609,654,187,465,301,
069,055,233,561,407,030,580,582,003,775,747,377,366,187,256,433,580,984,519,
264,399,574,727,937,526,077,018,860,123,543,755,311,252,102,382,167,034,014,
113,084,972,681,108,604,142,075,900,309,443,918,449,646,756,970,545,218,366,
560,323,004,117,073,240,153,358,860,570,384,392,352,149,489,621,904,232,525,
725,444,196,287,909,469,013,713,272,118,970,548,647,414,610,595,521,571,714,
109,541,446,550,199,379,850,653,656,874,370,785,705,543,176,845,436,631,226,
502,348,531,322,698,531,079,028,545,553,689,334,948,367,917,262,244,861,329,
786,434,314,909,878,942,887,805,378,374,002,580,781,739,138,122,779,673,078,
562,200,738,545,586,615,255,650,170,808,216,510,985,672,820,098,249,203,391,
266,169,105,230,703,717,867,944,243,793,767,404,306,731,782,370,804,568,146,
435,514,455,849,136,176,191,685,168,561,869,151,737,319,351,539,607,990,103,
416,035,417,481,850,077,953,131,842,049,443,433,683,122,225,192,279,392,110,
400,802,144,947,811,056,317,859,182,326,220,588,293,341,748,226,959,796,669,
215,845,645,887,312,985,471,348,445,649,575,256,527,197,525,325,601,787,149,
821,708,712,255,479,074,114,848,429,390,600,398,957,756,287,881,479,519,008,
116,511,488,409,291,204,208,502,400,105,844,318,154,801,335,528,130,379,375,
850,533,363,215,856,985,579,287,384,470,506,138,930,235,845,032,194,203,975,
559,389,341,510,042,519,041,485,283,489,579,705,220,765,014,592,438,438,598,
044,478,726,501,318,832,884,418,740,301,622,016,290,275,191,042,643,150,199,
224,177,503,639,950,574,762,315,829,278,667,914,444,710,214,020,582,721,951,
097,774,878,621,250,232,287,464,662,167,525,752,456,095,967,582,640,735,479,
126,562,494,789,176,741,680,275,263,373,867,945,974,325,297,503,032,528,204,
260,485,656,688,337,779,126,286,278,007,128,846,926,500,745,442,104,973,105,
078,234,597,470,880,109,064,465,738,472,827,576,811,551,116,315,018,380,519,
589,696,066,917,077,943,936,938,895,879,632,538,579,285,476,888,751,049,628,
832,528,908,876,746,256,845,435,922,961,239,923,813,353,211,599,767,122,969,
184,649,013,282,068,625,126,225,588,472,358,860,917,481,391,859,153,366,721,
948,391,321,862,236,074,509,202,229,683,861,873,388,933,820,598,467,140,227,
596,662,715,909,181,813,363,995,109,197,671,066,795,545,329,315,256,018,480,
520,745,397,163,325,821,336,868,089,257,293,742,198,249,323,295,502,450,132,
617,263,582,669,398,681,806,108,073,803,882,480,467,893,725,665,527,452,532,
401,691,739,368,711,538,867,703,704,589,795,099,214,726,857,873,196,854,197,
914,751,927,356,442,394,294,772,691,978,062,132,707,979,515,139,657,299,050,
695,003,770,001,990,349,771,749,576,598,366,493,351,903,671,838,020,502,765,
538,032,687,765,633,944,903,198,290,021,038,183,276,878,408,063,416,561,991,
176,373,468,733,326,877,971,431,273,153,851,172,438,075,771,638,105,385,186,
152,410,593,341,998,918,213,966,567,971,038,772,124,633,325,618,262,625,987,
867,413,494,187,107,317,237,781,891,638,043,151,759,637,216,794,475,690,813,
554,158,856,839,771,259,987,425,729,265,467,143,369,376,694,384,538,758,866,
662,376,282,548,346,978,481,413,458,761,287,802,206,466,987,252,041,771,158,
348,255,409,941,815,711,034,072,604,624,423,524,184,135,201,460,277,045,234,
367,793,049,141,593,820,516,622,178,609,639,763,989,718,998,263,488,780,952,
447,240,635,188,912,411,192,727,761,192,510,264,883,342,319,174,847,832,272,
670,861,505,312,154,775,612,809,171,318,054,730,627,488,347,981,526,921,103,
128,479,819,065,659,905,583,967,669,677,459,243,627,674,318,017,143,231,229,
044,706,937,962,027,215,684,672,016,019,631,976,935,381,590,877,876,885,705,
319,174,772,698,691,560,892,401,102,744,693,281,754,034,600,802,684,392,399,
392,728,128,321,671,672,895,825,474,100,939,261,078,839,436,821,138,250,513,
577,718,021,665,157,858,722,350,570,279,045,466,976,459,334,765,239,406,490,
176,896,816,847,487,414,228,531,667,073,763,229,614,044,041,482,054,047,654,
337,751,270,430,064,360,282,171,109,266,315,355,876,636,816,103,620,435,494,
484,458,655,344,658,418,588,427,996,398,167,584,220,019,957,830,868,898,734,
496,789,195,866,292,553,298,521,288,793,863,402,624,338,939,169,293,719,179,
588,520,176,640,361,479,257,287,475,495,344,623,623,580,590,899,179,733,581,
400,325,959,673,109,957,552,859,015,820,002,054,962,066,321,167,324,764,123,
804,143,696,492,903,347,421,552,480,469,826,156,507,500,862,643,096,331,312,
880,149,875,117,913,167,147,428,001,590,970,274,067,045,900,105,259,185,824,
785,721,315,397,955,922,557,293,400,247,625,304,766,573,831,190,196,225,832,
220,938,309,460,132,193,009,183,386,041,110,384,712,057,729,183,964,948,755,
061,053,369,085,822,347,759,376,925,276,848,610,939,687,902,541,928,964,040,
466,780,273,493,628,605,893,105,118,147,252,466,212,845,925,114,266,777,384,
962,730,228,653,335,313,715,422,277,813,384,454,812,987,199,946,034,713,689,
472,812,909,044,998,022,115,863,858,115,716,994,627,433,353,574,859,342,509,
546,837,211,919,953,464,399,473,971,391,062,594,860,266,137,767,246,873,535,
080,906,250,051,772,245,207,151,487,272,091,679,661,242,077,142,303,910,611,
684,812,596,449,670,428,483,805,372,315,155,986,953,863,860,394,375,979,031,
316,001,715,814,952,352,236,369,654,738,049,791,559,937,667,781,202,952,865,
306,951,850,136,027,226,231,477,881,611,246,191,824,579,554,748,522,538,846,
613,846,742,041,479,154,177,686,113,581,155,486,886,192,588,649,275,527,399,
374,233,600,216,679,874,284,623,033,950,193,473,396,568,869,404,387,971,413,
369,102,442,385,836,137,175,434,636,964,177,163,418,622,477,340,331,523,065,
704,978,258,617,742,612,252,723,292,156,286,960,754,894,760,190,236,609,630,
805,445,288,053,402,747,718,959,252,847,549,885,921,233,067,171,338,615,098,
519,325,643,198,004,768,045,428,779,551,445,710,946,292,490,979,640,016,587,
042,448,833,644,662,500,925,822,610,092,106,291,018,914,138,190,316,503,051,
838,689,923,517,913,426,079,198,209,605,431,223,674,309,074,301,854,684,026,
271,726,084,572,594,144,303,529,850,651,783,751,551,848,074,693,916,096,020,
038,900,809,378,876,710,934,342,855,965,862,869,840,537,115,532,818,029,936,
003,830,660,118,071,504,775,910,494,626,173,802,239,457,079,987,372,856,192,
349,547,769,526,473,981,807,138,247,915,254,967,262,204,237,692,199,975,723,
180,617,518,227,841,754,136,883,085,804,195,663,729,628,422,301,788,531,391,
688,849,399,448,670,310,057,258,535,435,016,109,492,657,992,893,129,448,641,
953,248,781,045,788,729,440,458,754,366,477,524,795,549,281,352,151,469,292,
932,333,246,356,883,044,427,883,330,156,429,729,387,999,559,670,254,589,577,
863,912,824,394,202,802,420,027,496,583,184,430,049,648,878,941,296,769,051,
688,808,390,731,939,430,720,698,996,878,114,741,945,605,763,462,385,416,521,
446,650,258,700,721,689,718,634,718,925,364,511,890,797,455,521,054,804,278,
008,983,948,540,176,619,500,748,282,259,303,325,271,919,297,694,143,129,392,
948,684,275,244,199,694,649,845,748,917,351,185,345,446,007,783,888,193,295,
985,637,862,324,071,047,492,905,934,536,964,637,902,062,023,191,853,023,846,
407,189,155,660,493,810,152,600,363,861,543,762,058,151,074,119,738,933,495,
697,540,035,203,374,697,980,105,465,019,001,121,130,089,695,242,203,651,553,
579,822,695,576,942,560,111,917,051,063,032,375,078,879,192,828,007,922,883,
463,518,338,589,690,925,078,431,353,075,465,609,179,604,399,979,855,730,361,
884,676,878,188,198,748,946,712,726,194,087,947,538,609,526,458,913,490,672,
268,623,937,507,026,084,650,617,344,756,632,483,486,400,087,832,949,495,935,
189,370,608,021,156,387,199,935,496,987,441,610,684,477,447,572,439,412,760,
767,450,240,338,975,084,396,375,395,732,261,361,602,750,970,645,774,175,901,
870,663,138,088,106,993,419,787,080,190,515,753,554,766,611,586,080,002,918,
632,671,264,431,484,365,457,847,145,831,014,754,427,971,764,131,230,215,014,
685,492,797,180,176,557,449,328,642,390,976,592,518,482,740,976,144,565,659,
082,577,042,885,011,185,738,797,707,926,792,345,018,813,272,874,873,180,243,
645,648,394,172,681,730,770,960,842,860,528,863,308,974,406,353,206,967,299,
559,897,662,845,441,597,881,338,878,792,151,636,678,499,931,039,344,951,567,
575,290,050,555,657,714,065,309,730,873,687,580,255,458,846,205,991,283,043,
626,791,963,437,479,410,590,805,973,317,561,818,167,022,825,587,789,262,028,
894,418,162,212,673,448,791,418,015,230,365,298,437,000,520,566,552,351,506,
101,200,204,970,518,425,130,013,628,364,895,629,921,867,830,820,583,778,048,
481,227,920,176,250,667,152,990,598,290,342,626,833,397,977,136,315,232,703,
744,929,169,417,477,690,585,952,103,414,754,698,566,546,761,271,602,263,117,
989,690,986,094,844,916,727,391,358,758,886,545,570,954,738,000,394,763,435,
882,737,068,619,166,595,182,338,548,809,190,659,826,679,528,105,568,652,445,
411,100,553,971,895,720,613,591,719,117,383,108,854,175,433,381,533,799,905,
391,817,922,819,016,014,323,973,143,631,027,022,827,620,175,474,106,864,482,
004,274,706,083,007,754,936,229,140,883,173,441,981,756,869,072,414,731,470,
044,693,362,987,454,055,735,707,862,574,381,146,008,611,942,257,902,662,330,
296,522,996,919,885,648,246,243,954,466,903,610,425,457,588,732,118,542,521,
689,191,422,606,785,805,587,118,570,185,055,700,407,761,716,511,333,272,813,
048,590,364,315,499,602,786,430,124,376,327,226,964,699,558,769,239,972,918,
501,152,787,044,019,145,015,440,583,685,874,841,464,149,540,968,733,845,373,
693,443,753,972,264,034,575,291,135,253,269,004,951,548,166,575,001,107,129,
467,144,090,723,459,783,809,647,603,338,397,256,406,989,461,218,341,100,054,
584,869,447,436,754,210,457,149,869,529,257,969,755,366,952,078,362,155,959,
596,120,905,797,902,467,534,257,947,582,002,249,394,212,640,307,005,572,730,
194,060,717,736,802,916,006,015,755,333,491,569,222,467,629,175,053,031,981,
924,416,175,546,769,203,927,922,758,103,409,032,482,759,703,562,681,684,651,
563,694,050,548,469,366,198,692,364,848,725,089,352,820,409,932,279,844,332,
723,520,533,494,878,098,892,538,201,268,325,560,687,858,741,522,533,859,755,
230,525,242,264,518,564,666,331,174,194,308,142,962,927,988,766,752,040,934,
150,049,169,384,950,652,870,367,408,784,111,879,845,144,378,162,875,202,398,
293,416,083,842,094,914,854,196,260,118,062,939,332,709,457,368,132,407,650,
831,399,737,893,408,379,416,970,527,190,753,932,536,058,893,943,070,062,433,
293,206,115,846,673,092,765,487,140,316,933,299,817,791,821,457,222,559,639,
820,957,825,773,742,348,127,884,142,853,291,008,347,242,640,387,117,817,563,
004,564,743,377,321,680,741,815,030,120,965,204,720,179,802,420,271,905,282,
239,454,983,878,261,900,181,140,555,871,387,880,730,639,888,540,690,045,230,
731,264,649,311,870,817,009,585,336,487,470,829,706,682,120,461,591,234,647,
083,598,623,714,378,039,059,942,464,525,575,863,380,515,593,479,652,657,196,
620,075,165,175,487,806,541,610,998,751,433,720,141,414,120,662,647,697,216,
803,506,085,805,295,360,463,179,394,007,461,953,372,125,948,917,456,598,791,
424,600,137,687,082,532,511,125,166,693,503,191,022,655,188,908,754,335,363,
411,771,018,195,448,607,446,604,590,789,410,774,252,226,114,324,181,559,485,
031,475,382,661,004,948,483,069,239,066,324,626,962,423,500,012,361,676,641,
039,648,739,719,006,581,445,046,611,442,185,330,213,785,164,521,049,519,819,
243,700,979,653,519,638,445,916,715,129,406,269,057,859,121,238,787,406,927,
091,394,777,291,365,196,526,893,156,216,208,802,209,384,995,524,304,266,124,
697,755,832,951,380,638,319,760,375,341,651,937,328,900,752,588,410,605,981,
240,139,150,429,684,693,568,999,111,341,918,908,638,334,297,552,434,994,377,
616,846,641,102,798,824,184,982,660,203,016,197,317,403,805,734,333,674,756,
374,530,571,462,607,216,669,907,828,578,793,193,380,680,918,518,986,665,134,
449,607,348,452,300,624,110,653,035,209,824,313,183,700,839,941,214,602,312,
320,653,363,097,104,563,581,693,567,934,090,875,383,608,900,205,644,596,073,
713,222,170,345,871,845,886,142,383,575,183,896,421,521,077,240,862,171,747,
634,909,887,305,104,973,301,346,398,941,635,346,701,598,531,213,145,430,923,
097,437,513,093,841,733,989,793,634,057,647,764,532,255,556,975,410,091,662,
785,313,810,108,130,140,647,475,613,994,510,315,206,148,006,865,026,551,168,
719,326,736,602,748,964,568,785,791,120,410,545,188,642,715,546,612,212,530,
812,611,806,647,259,720,406,833,968,775,398,308,898,123,032,195,936,225,419,
264,151,697,136,901,132,780,129,836,841,107,665,657,205,667,793,935,768,630,
719,340,909,533,859,139,279,347,626,563,611,522,261,889,998,483,270,241,261,
681,871,516,965,889,409,305,982,389,783,738,451,523,899,616,128,233,066,041,
479,840,635,832,089,430,136,844,288,492,945,081,415,105,722,636,994,342,241,
132,204,303,062,207,858,354,669,930,197,764,293,201,663,670,189,544,142,167,
846,446,558,583,985,606,922,992,939,037,494,667,233,530,929,820,326,660,139,
950,998,360,240,313,744,089,001,025,611,176,757,383,837,500,274,729,245,191,
039,498,605,773,980,033,862,437,698,365,247,844,042,229,148,213,950,997,970,
770,366,949,323,896,902,253,008,552,751,273,143,968,468,464,225,511,038,334,
924,225,193,182,910,884,892,349,078,393,765,301,835,265,505,554,327,352,356,
078,517,038,938,453,316,054,519,880,890,612,130,339,291,894,866,717,245,251,
308,887,347,237,777,472,585,889,444,730,562,693,622,531,414,921,764,923,674,
612,474,993,705,919,266,729,562,868,924,021,093,829,614,039,206,210,903,295,
011,395,541,820,070,692,638,180,239,754,827,232,782,915,816,828,064,866,056,
010,724,631,619,918,321,980,530,261,945,988,144,108,654,299,341,757,451,912,
849,874,629,371,830,478,650,450,629,650,759,218,301,387,257,926,220,989,828,
888,463,999,058,223,958,910,465,458,161,324,648,154,094,241,405,702,422,471,
715,817,793,450,315,339,449,102,955,357,071,261,240,168,158,547,877,871,290,
796,541,686,808,357,463,455,531,758,301,406,392,094,663,899,792,234,111,867,
986,955,770,309,149,556,722,946,482,523,883,929,825,048,048,248,665,221,221,
617,267,753,188,472,433,055,673,331,008,607,626,072,418,363,295,328,954,217,
273,189,015,352,312,934,636,654,973,863,614,819,999,415,965,415,733,431,993,
544,928,570,019,341,120,979,165,898,064,654,758,055,620,029,869,199,748,764,
247,660,266,965,367,306,498,148,262,385,924,175,532,844,740,383,089,128,465,
275,033,094,611,874,326,492,168,355,072,551,324,500,575,573,039,879,336,471,
344,123,895,821,873,116,149,112,378,857,648,942,886,795,925,358,567,514,337,
098,259,040,034,690,835,193,999,102,180,090,956,292,688,894,829,583,310,654,
435,796,505,007,047,186,656,206,062,794,980,784,532,836,828,894,615,713,681,
315,771,075,521,440,195,986,836,300,748,482,614,662,778,911,429,861,215,924,
371,595,213,370,940,977,084,973,215,721,302,010,333,978,276,186,935,899,180,
065,496,824,809,860,950,344,046,546,959,056,122,559,373,227,299,896,715,701,
855,106,000,082,256,220,782,427,590,655,910,219,164,450,955,062,212,630,213,
663,494,183,250,877,255,726,333,243,593,589,873,173,691,016,506,454,616,681,
709,337,991,647,611,840,820,130,074,284,817,409,857,942,227,801,692,653,347,
439,533,102,543,599,552,611,671,333,726,496,760,439,779,061,652,472,206,405,
143,344,882,459,691,683,432,095,973,837,903,249,222,535,202,079,406,063,863,
251,793,891,522,857,494,423,892,252,163,389,354,222,764,054,446,479,831,190,
490,196,417,448,279,229,340,015,061,004,798,848,068,746,772,209,054,730,585,
775,447,883,489,461,726,283,170,979,311,932,504,254,007,825,754,927,163,073,
719,823,730,058,842,124,281,804,951,785,240,222,762,524,818,832,757,797,343,
665,541,208,605,119,101,785,750,706,508,581,622,028,272,604,174,730,461,498,
503,109,719,726,719,734,636,249,277,604,732,690,501,160,073,640,121,526,686,
235,079,714,046,769,218,282,116,645,149,314,391,293,398,361,081,480,196,529,
449,139,982,385,243,513,567,318,903,539,482,239,979,736,218,974,854,717,947,
192,231,596,159,139,029,484,395,991,093,385,158,808,583,527,010,381,139,995,
526,514,841,159,110,767,940,846,131,805,904,865,256,443,074,101,333,137,468,
692,586,913,358,611,666,666,040,591,212,213,706,444,120,115,366,347,278,128,
165,512,804,633,060,208,283,648,706,090,404,839,958,705,807,209,384,947,545,
683,198,746,632,353,340,953,451,785,548,615,083,751,305,934,872,740,044,323,
586,214,448,050,725,077,163,877,450,552,397,955,853,628,418,134,504,337,825,
556,121,848,443,299,597,186,083,546,011,463,004,000,914,469,067,562,136,742,
441,052,917,780,481,974,849,283,615,296,693,322,934,866,239,380,224,240,489,
431,749,393,130,377,255,965,988,445,052,851,701,463,371,881,258,851,480,306,
389,125,538,981,668,019,739,066,363,677,446,670,676,191,701,645,922,480,390,
847,585,707,795,016,087,947,673,787,763,717,349,201,522,699,247,626,362,412,
897,936,108,917,853,644,914,648,014,331,109,388,811,467,889,777,315,684,804,
355,906,755,805,124,887,642,810,051,716,494,945,632,421,030,525,189,529,839,
550,473,860,142,206,082,574,984,507,392,919,284,525,856,961,601,889,941,862,
865,440,921,909,453,902,827,960,871,338,819,213,412,840,631,119,403,633,922,
873,865,805,760,813,307,089,841,215,924,970,005,562,799,608,182,027,063,872,
866,634,651,989,622,441,219,169,797,397,227,190,842,175,400,915,787,050,146,
997,429,876,109,262,462,613,386,679,339,258,894,825,812,790,811,830,934,389,
761,664,313,895,617,078,554,983,482,731,590,213,146,255,962,823,392,715,827,
785,254,595,721,144,882,679,774,720,842,684,689,293,415,510,001,105,111,248,
958,253,156,005,066,389,552,739,407,235,020,400,830,295,525,135,252,491,902,
596,140,075,440,514,123,040,797,387,492,940,680,840,475,925,963,665,625,027,
012,646,952,014,618,809,889,849,766,504,874,241,718,158,143,058,114,551,467,
941,352,594,869,282,108,664,823,716,160,018,936,953,047,953,054,284,178,140,
020,993,452,717,783,422,400,342,850,087,355,561,128,349,684,309,371,241,889,
792,579,388,883,838,664,052,170,520,724,801,977,344,311,822,810,302,602,727,
825,442,476,053,025,163,118,829,269,921,864,472,497,549,857,381,112,750,936,
089,297,360,594,088,639,241,577,251,361,795,070,349,497,572,553,021,121,444,
899,351,242,960,579,410,302,650,193,084,244,383,379,706,456,397,120,456,319,
821,649,531,842,841,265,692,458,627,184,417,345,372,273,852,254,729,147,398,
733,553,136,363,137,300,783,262,676,948,518,090,238,786,178,637,917,933,919,
897,459,016,324,358,111,067,378,811,790,989,342,182,550,928,152,232,105,146,
804,989,406,849,267,212,862,640,278,033,248,124,769,066,114,209,724,402,351,
488,447,249,811,575,707,943,277,426,116,640,764,005,595,256,058,656,007,374,
150,532,190,165,501,279,736,837,138,017,553,280,630,746,607,252,038,775,481,
392,759,603,090,457,928,987,890,139,049,815,560,515,657,741,256,104,945,839,
341,848,811,458,308,283,130,264,081,518,872,542,614,939,544,936,482,845,669,
838,433,396,244,473,506,245,627,582,837,431,933,987,793,493,655,415,028,704,
248,239,713,786,926,668,186,524,541,025,624,462,239,547,392,309,761,707,804,
786,377,773,362,132,872,729,779,305,768,502,438,474,415,158,334,304,666,316,
005,127,392,423,594,102,116,352,579,053,570,328,793,863,211,090,958,875,293,
940,184,050,606,756,093,279,793,290,607,088,144,438,491,398,555,249,981,396,
776,920,896,874,880,795,930,030,195,802,062,519,767,865,746,197,669,839,638,
293,165,497,857,152,074,950,420,575,053,647,453,252,086,103,520,806,015,378,
140,408,514,521,949,699,471,680,321,487,749,742,158,752,684,674,182,427,432,
024,949,321,105,959,722,950,134,461,106,720,603,216,412,985,412,412,973,659,
152,194,602,033,512,099,279,227,665,102,397,194,649,960,186,370,982,643,383,
336,715,911,319,748,884,902,201,621,917,209,340,570,203,044,168,857,733,106,
973,452,972,950,930,976,081,278,011,472,149,516,554,402,677,842,549,371,318,
481,545,250,421,264,764,954,571,388,797,653,852,676,297,831,334,189,374,338,
930,793,552,293,894,870,667,100,113,778,273,324,868,802,178,431,470,759,814,
508,150,277,292,134,392,610,041,586,376,232,546,823,416,268,122,398,788,260,
358,599,669,993,324,796,452,678,522,245,095,673,776,444,667,916,819,455,178,
314,479,680,206,477,683,517,086,603,235,487,552,150,976,147,387,810,191,946,
813,085,332,811,437,625,554,063,661,412,137,028,506,182,928,101,179,477,563,
019,925,481,442,592,288,319,999,324,564,786,370,407,212,008,332,380,247,116,
164,078,800,851,032,959,825,455,612,110,871,651,416,561,817,558,146,719,264,
993,015,322,604,755,840,843,739,230,732,592,477,769,056,074,041,451,994,223,
292,115,540,726,108,898,651,603,987,991,078,812,581,299,272,290,408,747,949,
467,719,475,490,966,501,661,564,386,048,337,500,324,801,396,424,963,739,644,
439,057,509,353,369,909,283,584,056,062,593,514,649,935,911,991,421,256,509,
053,689,496,235,917,954,872,795,373,425,957,111,814,511,844,711,811,947,355,
310,027,518,242,627,613,444,674,813,786,171,427,987,389,618,930,061,150,963,
903,640,601,884,722,165,631,579,744,328,374,480,663,341,949,600,520,157,304,
972,249,176,055,370,232,434,983,613,001,625,731,404,151,746,918,520,893,393,
492,480,303,398,537,983,227,359,868,331,010,181,470,103,087,500,567,078,437,
293,904,942,870,736,953,393,234,434,884,703,284,034,229,499,108,907,102,327,
668,308,351,376,940,297,070,482,021,997,221,431,835,983,825,655,364,377,093,
541,692,530,988,753,345,270,124,119,197,989,393,084,494,567,160,487,924,524,
280,343,450,797,676,462,973,911,393,294,792,922,991,579,862,583,649,423,386,
984,873,319,720,672,508,553,465,721,807,194,226,308,541,794,675,148,395,620,
603,509,307,521,577,273,279,609,115,315,971,411,454,531,802,457,921,002,411,
178,418,436,406,575,841,937,282,510,969,050,849,849,196,526,413,216,599,858,
059,446,963,651,971,272,552,582,124,285,485,665,989,759,461,679,008,462,230,
069,136,972,152,314,085,081,004,736,622,834,849,034,008,281,123,136,776,430,
973,813,651,940,810,157,996,546,787,278,979,880,154,512,120,079,084,187,815,
221,097,657,446,066,550,975,647,928,436,714,919,014,877,126,159,101,126,563,
329,398,011,015,872,692,785,859,181,244,754,683,172,495,152,635,291,683,263,
194,467,925,592,961,155,282,729,549,658,907,669,774,807,356,588,562,164,559,
480,072,862,020,084,483,754,679,744,674,358,666,203,789,219,540,078,538,960,
090,685,509,575,649,862,361,943,329,005,368,473,188,340,511,385,359,263,483,
395,080,212,350,357,321,094,707,841,846,966,082,579,747,158,624,707,646,528,
562,214,341,146,342,714,154,692,602,574,242,008,701,584,344,628,664,456,923,
305,028,810,959,412,941,760,637,288,993,825,642,039,557,401,732,286,616,753,
646,148,204,145,343,196,028,198,669,483,332,564,849,115,379,096,250,261,851,
277,345,978,597,343,324,059,126,813,118,931,970,468,801,117,881,048,484,495,
933,641,383,120,266,176,418,447,719,576,224,837,484,728,301,532,957,995,114,
686,904,046,304,518,613,169,039,755,596,898,878,816,997,873,753,077,830,974,
157,942,387,583,896,561,754,079,990,315,868,988,622,645,434,221,386,682,167,
637,470,846,332,236,446,714,820,405,003,741,784,702,805,287,490,079,651,712,
196,738,880,821,242,594,318,215,525,337,718,227,637,485,887,941,601,617,484,
844,035,770,536,643,118,678,992,944,705,980,351,826,851,660,017,671,295,978,
431,236,920,957,334,145,683,076,754,513,597,007,649,935,173,949,308,025,234,
022,045,150,754,932,165,302,459,616,460,516,544,609,701,561,517,313,934,171,
205,324,279,865,612,482,007,478,744,995,342,478,443,212,540,034,410,416,542,
372,374,156,561,343,963,473,227,281,079,585,020,744,003,956,283,716,374,816,
437,653,874,898,378,290,769,464,733,702,883,310,448,770,668,373,622,831,089,
687,915,172,571,480,820,362,250,211,277,839,930,758,146,631,540,394,405,482,
982,310,603,262,853,482,640,677,362,419,149,213,522,362,382,416,752,451,993,
996,932,328,263,484,890,076,679,131,896,383,485,323,299,004,566,559,591,568,
740,484,625,135,678,343,223,903,668,547,137,498,261,588,714,661,437,546,321,
367,454,274,805,625,823,907,875,781,830,003,814,971,061,476,356,738,950,271,
634,958,691,911,569,714,286,629,628,658,658,956,432,946,483,494,357,709,306,
093,322,901,400,643,059,824,211,319,827,590,721,411,524,338,718,811,311,676,
645,728,716,951,181,543,621,190,776,770,732,936,315,430,492,609,016,946,560,
759,183,403,228,751,923,611,545,205,259,859,907,484,174,041,403,201,732,625,
795,177,936,791,969,069,659,844,759,343,054,152,188,537,146,350,062,517,443,
876,223,529,085,645,772,166,357,526,530,024,434,294,471,025,291,157,438,024,
997,549,466,664,761,832,549,919,436,776,777,685,370,829,634,767,830,935,062,
412,145,801,325,209,916,561,731,089,592,859,642,256,400,568,108,273,158,019,
178,646,350,095,925,829,496,011,348,570,870,282,330,010,316,936,200,524,195,
994,055,265,367,117,522,603,088,629,342,314,430,471,408,406,224,481,195,773,
007,284,327,796,527,546,212,534,521,910,676,428,789,437,957,455,513,478,561,
333,577,113,538,344,961,527,951,163,809,042,091,697,037,121,181,913,840,410,
850,172,860,279,976,163,402,760,082,639,600,857,192,614,482,951,110,578,941,
225,477,755,116,550,169,520,201,573,864,342,106,468,366,790,564,444,756,087,
062,709,265,258,559,610,080,531,867,960,453,036,063,601,063,329,106,263,098,
338,956,931,867,150,926,188,388,712,441,312,404,444,780,951,061,233,878,770,
544,183,402,675,263,431,604,637,793,629,697,614,598,548,110,258,485,141,151,
581,538,976,676,444,138,101,129,545,935,777,171,832,912,418,823,630,524,040,
398,780,872,638,631,278,835,135,920,941,323,833,631,244,026,016,744,368,036,
965,128,522,253,472,848,580,030,767,019,793,874,984,655,253,638,424,009,528,
599,464,836,613,794,778,793,377,160,034,295,353,504,153,203,835,215,298,135,
364,035,306,894,420,503,761,651,161,080,387,591,847,087,844,066,534,728,300,
663,805,725,059,971,454,868,958,462,117,952,130,932,483,836,321,566,483,440,
371,117,829,826,848,621,874,659,490,585,955,501,157,193,274,546,768,235,655,
892,812,282,863,046,639,358,788,277,356,770,148,250,509,285,994,918,731,230,
192,216,461,625,381,361,745,991,871,324,919,171,136,208,481,218,462,380,020,
174,471,225,022,707,660,487,784,588,892,963,541,980,203,995,947,042,045,917,
407,202,430,881,975,500,576,070,790,282,929,928,657,391,920,316,149,215,287,
905,531,196,774,093,003,375,159,118,801,553,907,129,747,284,883,116,886,875,
938,662,252,391,724,823,265,494,497,288,067,644,019,669,387,112,057,787,077,
099,834,427,170,146,639,330,357,511,180,286,771,514,482,374,977,474,199,850,
872,322,283,351,586,995,570,774,790,184,128,521,246,240,736,700,127,805,338,
487,433,652,531,782,773,940,636,002,299,233,250,299,215,206,720,777,539,198,
349,987,768,491,180,864,491,047,190,838,365,151,255,465,122,844,796,868,434,
279,657,731,350,389,392,631,213,614,553,519,438,870,834,464,121,060,808,712,
608,958,015,318,908,417,875,061,915,691,890,497,433,965,217,017,506,628,622,
147,644,339,772,496,251,253,935,757,678,637,434,188,877,779,365,143,436,779,
474,299,390,939,612,832,987,317,167,391,466,316,167,579,006,049,723,387,271,
426,479,000,600,264,314,931,737,040,344,144,970,326,265,695,443,816,683,348,
319,165,540,872,298,575,350,392,500,837,164,971,942,110,586,042,494,734,072,
233,309,553,577,990,361,549,518,875,667,119,424,621,638,905,229,401,947,112,
466,468,469,995,991,079,872,408,145,207,318,443,303,687,354,384,268,879,753,
595,118,969,089,738,290,307,564,357,947,908,857,591,158,332,093,977,288,876,
614,435,222,518,501,248,449,245,199,770,547,580,459,022,208,945,520,698,717,
604,250,446,992,487,132,184,014,381,781,682,032,418,900,068,874,017,601,234,
306,443,538,230,236,557,110,122,515,681,720,616,475,577,934,516,404,198,861,
557,168,913,218,094,508,923,374,550,881,562,214,211,811,963,618,857,820,462,
013,226,887,528,768,069,953,582,745,286,363,252,275,058,149,188,090,641,729,
941,921,505,098,187,993,502,309,128,450,000,764,504,627,914,541,072,103,551,
706,142,990,524,572,003,042,423,114,151,491,460,272,147,905,923,357,504,336,
959,396,102,895,480,377,317,231,709,775,421,034,906,156,110,079,592,029,437,
205,969,396,945,257,651,348,995,890,729,752,681,344,220,328,838,061,688,603,
466,688,429,189,484,703,007,189,208,133,130,033,701,926,011,373,042,290,430,
375,243,246,204,369,954,656,650,153,319,466,164,381,999,208,361,463,809,813,
417,275,597,698,747,981,153,665,733,433,779,490,779,497,003,407,820,711,634,
088,355,753,261,049,334,844,296,857,526,490,674,908,951,723,188,853,181,971,
186,450,323,181,523,588,189,214,571,078,065,941,968,329,023,768,619,205,311,
331,170,695,902,373,991,238,947,909,094,002,360,077,480,589,000,041,045,363,
774,045,087,916,665,994,144,982,926,169,709,264,274,614,655,738,243,971,618,
575,983,304,490,779,357,280,094,206,869,373,920,402,597,185,634,523,572,497,
555,230,784,240,102,970,258,841,551,105,853,327,044,976,968,466,584,294,368,
140,426,243,024,040,546,575,244,416,397,082,443,350,267,974,099,253,637,955,
626,494,901,679,077,591,776,893,362,564,379,599,638,655,572,460,555,827,969,
907,862,265,402,746,335,965,678,370,519,790,323,971,301,533,827,226,772,689,
041,543,538,007,607,648,862,709,754,506,840,341,156,904,614,410,166,420,060,
893,736,122,267,818,827,355,422,278,573,485,475,611,428,390,059,051,154,160,
996,477,024,550,638,974,125,771,634,774,253,566,405,773,858,573,097,694,638,
629,318,324,495,660,730,121,966,125,794,447,201,736,997,110,043,119,589,419,
877,713,315,539,386,140,430,456,301,033,205,352,338,425,750,127,530,330,246,
169,113,837,363,430,871,530,794,710,807,760,886,656,527,059,044,459,456,663,
377,062,998,253,924,183,519,306,516,056,970,967,711,606,845,708,660,777,256,
247,288,717,294,773,461,233,341,173,001,895,685,107,488,660,467,946,072,600,
702,060,936,187,998,820,848,354,216,813,271,830,432,317,522,294,711,371,134,
179,731,296,222,202,862,091,695,550,640,071,601,210,512,865,860,498,708,330,
436,976,156,115,875,338,569,732,192,550,042,546,312,312,645,314,018,297,619,
803,432,071,667,164,804,780,117,935,452,896,609,423,600,573,434,260,350,837,
170,614,328,618,347,448,291,412,569,703,382,148,757,871,389,451,565,719,967,
910,627,978,552,428,941,424,509,213,738,384,939,701,874,412,955,065,934,378,
968,988,231,055,324,968,230,895,022,619,676,336,086,673,092,985,626,249,433,
635,454,920,464,735,567,107,400,919,089,172,259,052,067,350,118,746,752,617,
795,810,407,597,995,634,661,994,851,457,793,316,045,371,822,533,393,244,447,
707,763,008,632,135,774,085,009,876,470,703,512,382,054,352,561,749,952,205,
985,596,440,701,221,407,645,824,260,112,380,554,315,999,108,742,897,747,539,
441,454,279,406,891,319,453,813,402,475,319,027,742,734,028,616,515,551,457,
713,711,873,331,570,256,585,336,192,735,082,954,255,887,025,540,565,006,784,
472,136,242,898,584,462,421,391,973,517,878,556,240,006,191,404,264,188,156,
571,163,146,645,081,454,835,516,740,077,908,476,970,094,707,442,272,911,100,
575,916,224,329,953,373,032,081,345,374,297,882,303,826,100,515,335,875,335,
041,640,523,311,836,851,523,968,989,838,474,494,836,222,424,390,424,385,384,
862,260,725,968,887,291,981,406,636,986,164,276,756,197,702,695,622,221,626,
100,730,541,023,627,774,462,736,205,881,640,282,066,435,942,541,714,658,819,
965,037,688,534,284,484,058,949,105,267,675,750,314,751,420,163,306,235,626,
414,918,452,137,387,916,777,057,120,968,058,036,523,839,389,066,859,711,170,
550,742,524,364,588,542,713,839,131,341,738,037,319,901,280,624,208,489,965,
495,256,999,471,274,903,051,036,875,980,787,629,603,673,464,210,214,965,379,
555,727,196,700,478,957,776,397,606,463,237,704,597,852,028,422,606,470,534,
563,211,144,319,796,491,037,832,287,529,976,689,328,616,582,159,764,526,616,
921,446,522,457,993,396,033,617,711,673,834,765,830,363,418,239,415,271,903,
256,805,932,025,849,529,071,148,764,690,705,086,451,963,693,956,692,558,822,
299,240,629,462,576,946,289,780,168,830,611,934,037,549,638,530,412,389,794,
631,299,639,279,227,018,377,857,254,535,052,077,680,207,567,139,007,837,524,
293,296,876,157,573,226,275,871,558,538,966,683,747,832,988,910,810,637,723,
383,138,925,943,067,787,359,274,765,682,159,776,547,951,229,970,406,971,542,
608,176,076,594,274,535,160,418,370,169,384,437,415,452,671,295,609,672,095,
528,828,235,395,545,467,999,617,111,077,536,861,997,914,007,761,519,988,730,
463,310,101,743,128,527,226,937,422,712,634,725,463,037,507,459,632,552,291,
890,592,969,039,546,888,232,239,259,587,133,965,910,324,226,700,752,017,403,
839,957,567,130,714,959,111,565,057,730,316,175,725,989,357,627,797,712,260,
489,294,049,746,579,487,132,374,056,108,579,730,567,532,042,221,650,541,723,
797,495,489,771,659,177,056,230,122,019,002,745,134,665,925,382,230,684,773,
819,451,687,012,456,736,979,187,297,406,257,942,598,607,906,130,627,805,655,
113,800,699,090,313,619,052,554,345,278,755,176,095,961,322,109,794,207,639,
481,733,068,187,312,375,387,343,004,460,048,871,009,904,384,776,771,397,553,
531,279,707,355,722,070,011,537,974,778,522,401,621,149,186,871,803,948,179,
269,894,257,803,621,138,180,381,214,459,512,295,997,587,332,434,959,960,061,
422,162,375,671,193,513,741,698,986,143,963,368,632,279,061,024,156,759,454,
409,831,159,459,218,294,382,302,193,929,815,024,695,452,682,877,543,778,588,
904,376,129,345,840,568,212,270,072,877,365,485,695,704,188,445,989,677,667,
067,503,679,985,295,229,117,993,650,660,567,636,341,930,519,508,294,349,251,
243,790,898,714,794,451,659,264,815,559,974,156,828,071,481,398,636,179,833,
144,284,543,327,883,442,644,772,700,475,151,667,733,352,596,478,860,946,056,
362,030,100,032,718,777,892,082,807,085,469,283,897,869,220,926,745,868,513,
322,427,590,815,933,817,247,406,443,490,965,501,123,795,416,659,931,660,019,
280,694,676,464,973,796,173,178,104,278,903,834,322,894,986,884,332,992,094,
253,227,985,438,100,084,460,869,883,194,424,641,776,759,040,364,172,075,756,
493,597,182,882,043,759,595,502,656,748,436,912,383,751,837,758,303,830,892,
391,931,704,556,397,261,622,967,568,606,519,837,090,811,092,375,280,860,675,
916,215,893,463,820,036,097,736,965,501,315,302,962,136,890,566,139,360,445,
760,526,084,733,387,854,475,726,933,721,736,230,049,126,486,008,664,942,587,
519,145,616,123,727,053,220,418,208,450,939,213,804,120,044,588,762,141,398,
280,144,587,464,138,758,130,116,924,104,708,376,349,493,263,470,442,230,736,
125,297,401,718,674,777,738,654,258,506,862,553,774,238,829,211,877,970,221,
885,400,039,846,356,567,553,626,137,958,296,046,887,342,502,112,934,471,894,
203,957,470,778,321,292,299,924,150,443,465,582,055,163,075,185,280,816,054,
941,695,524,119,223,328,809,049,845,731,351,183,981,144,248,347,924,886,963,
656,606,772,286,437,697,377,139,162,321,040,666,777,286,890,827,415,747,118,
842,751,492,328,755,713,566,187,890,585,535,797,546,474,716,467,219,331,637,
554,778,100,474,269,650,474,891,846,296,197,655,052,511,424,307,161,543,897,
671,129,517,206,987,084,697,377,600,620,351,897,483,493,617,281,234,348,685,
781,338,047,108,741,079,552,345,601,096,352,192,686,973,616,288,602,405,632,
323,839,381,374,193,115,651,203,123,040,801,869,732,740,522,218,879,564,379,
737,504,080,821,056,410,474,270,977,308,275,406,045,284,389,477,153,893,053,
640,324,157,430,492,561,991,114,111,543,136,420,907,324,370,087,706,975,441,
218,289,468,577,267,680,657,480,026,678,470,751,339,434,226,197,091,213,836,
759,852,975,590,349,971,803,777,256,454,706,365,667,863,092,989,042,563,609,
566,885,535,045,337,218,550,522,405,878,570,229,366,923,124,509,826,954,064,
025,907,704,541,971,643,638,289,240,451,922,335,147,938,788,514,817,674,265,
629,730,971,870,856,065,911,618,702,006,166,133,505,757,661,832,846,563,399,
810,497,117,357,876,604,705,438,985,666,068,793,284,526,221,225,302,757,188,
798,604,426,088,706,900,997,909,827,617,022,315,573,867,925,322,050,364,373,
107,233,457,498,037,966,875,131,433,009,431,049,813,145,215,902,337,657,287,
084,675,164,263,180,665,405,335,643,602,277,189,275,390,192,067,625,668,318,
428,131,267,606,893,760,642,773,238,533,985,933,332,903,549,118,945,232,277,
562,753,981,020,572,096,414,939,571,464,134,184,724,209,413,754,410,943,677,
118,149,068,803,394,622,601,526,058,037,785,401,803,108,981,244,323,408,969,
601,277,677,557,656,686,286,611,823,567,066,479,468,915,485,818,234,474,487,
471,712,271,383,775,786,497,856,429,792,936,352,036,825,937,798,847,864,155,
033,043,293,267,925,658,763,267,181,760,716,773,390,782,722,165,548,838,905,
581,162,590,853,617,483,663,773,567,614,772,862,783,248,058,862,259,058,068,
957,517,089,660,684,789,150,438,254,964,660,600,055,956,104,188,184,616,233,
266,921,475,464,969,605,175,533,330,915,777,680,915,416,785,372,726,800,417,
989,315,186,452,095,964,558,627,112,228,374,480,645,505,878,890,001,991,653,
735,192,642,829,539,060,528,103,872,264,379,496,946,934,911,570,611,654,468,
396,090,204,670,281,929,664,461,801,839,641,434,700,374,801,329,226,697,844,
165,228,495,440,563,726,192,386,817,488,879,870,614,868,458,761,032,466,477,
472,154,273,215,539,933,017,500,116,475,433,672,018,244,709,852,546,919,542,
277,955,984,625,503,152,412,666,962,398,789,385,511,469,032,438,018,321,689,
309,290,267,975,779,616,912,505,925,025,322,020,446,256,529,502,457,741,043,
952,176,432,967,145,741,028,641,742,364,089,407,871,435,659,642,992,677,939,
268,887,698,511,487,129,082,090,380,447,982,528,685,261,469,153,146,365,934,
880,204,461,783,953,786,095,998,062,836,071,209,161,404,414,043,834,397,258,
033,586,377,160,159,577,532,808,598,819,551,728,186,481,816,416,026,685,644,
694,268,953,833,045,555,122,942,042,850,499,034,188,115,405,375,112,184,562,
048,495,705,023,775,278,385,742,200,967,504,012,451,159,242,543,162,344,400,
323,311,540,723,058,510,365,141,256,537,667,564,988,505,564,206,966,983,832,
421,477,529,611,107,461,790,177,813,694,690,975,210,798,081,653,498,537,032,
030,790,481,052,905,695,143,867,937,272,814,777,742,637,841,534,835,917,177,
834,253,783,610,508,323,712,101,190,912,098,446,039,148,858,708,125,361,191,
224,840,094,554,482,026,795,949,129,305,868,866,628,157,623,516,190,015,018,
979,993,193,531,139,368,389,025,666,184,723,849,077,748,459,349,744,345,528,
611,322,901,002,963,614,991,476,187,765,985,666,206,940,645,354,699,211,911,
153,552,590,535,197,617,198,105,815,176,764,027,857,377,940,714,040,546,569,
926,752,976,847,247,142,256,586,364,059,232,522,494,715,806,483,136,379,074,
587,349,740,615,745,868,158,487,676,598,067,452,576,225,570,274,444,001,055,
219,151,042,037,506,204,492,574,765,566,428,794,215,301,802,911,733,054,763,
968,241,810,293,910,938,412,360,154,067,222,579,718,061,283,040,710,405,676,
764,935,186,953,371,313,218,898,742,794,953,712,685,721,899,351,167,189,457,
839,540,807,508,842,819,776,635,787,923,583,132,910,481,231,522,838,279,771,
245,012,454,924,147,831,274,423,214,950,734,561,743,747,378,505,674,887,587,
944,801,010,250,536,267,716,641,927,828,373,537,724,194,407,188,197,584,205,
862,035,261,608,634,654,153,579,666,867,434,366,070,763,386,436,475,101,357,
918,441,514,061,924,114,720,958,524,895,792,959,183,565,474,451,209,331,742,
451,399,666,602,434,028,163,544,844,551,715,434,725,238,137,697,351,756,316,
155,383,365,762,509,667,668,301,292,955,794,032,691,741,581,041,428,008,532,
850,163,910,894,097,794,015,101,545,758,151,608,215,367,921,335,815,980,944,
280,629,788,087,904,859,182,187,186,228,573,359,052,728,339,700,193,018,043,
510,255,853,455,531,867,254,146,954,776,908,000,823,306,097,958,549,454,271,
504,219,362,861,971,339,969,515,060,246,465,757,609,758,947,166,098,649,612,
453,037,624,012,516,367,538,320,804,972,192,596,527,846,033,585,375,583,228,
417,437,280,815,952,699,496,182,304,239,102,950,976,996,048,414,485,418,066,
605,602,169,282,309,747,130,757,834,131,829,133,031,091,872,304,879,048,513,
345,611,887,288,850,321,218,440,858,074,858,821,622,493,869,915,129,807,673,
146,691,896,404,883,631,985,363,186,142,317,874,914,254,081,594,901,801,062,
240,473,046,891,356,721,634,462,035,002,020,528,900,797,929,665,016,884,260,
799,341,471,222,903,499,559,050,855,508,524,128,297,774,799,608,378,845,277,
666,755,572,187,292,020,043,823,449,236,512,029,718,989,637,743,335,634,750,
372,232,008,805,598,426,588,407,994,075,662,540,821,252,284,569,403,299,181,
234,061,285,230,271,637,482,684,684,346,929,213,511,520,025,308,738,813,651,
275,147,955,313,735,646,784,633,698,713,967,481,386,135,994,246,094,542,509,
573,780,352,614,904,756,951,070,371,426,933,377,499,405,776,719,082,091,995,
781,127,985,182,270,331,102,792,713,474,115,615,541,010,485,420,985,297,407,
909,157,401,709,774,268,943,662,168,471,650,833,305,423,801,013,123,200,570,
917,742,202,959,800,175,946,139,317,187,976,610,079,888,036,024,013,611,807,
590,734,509,006,232,728,535,827,663,494,358,341,463,034,781,956,496,260,745,
267,193,869,059,127,261,132,641,309,611,392,927,300,102,524,468,647,445,267,
600,087,827,444,648,607,748,236,182,857,075,381,526,633,593,887,683,419,922,
311,452,800,825,041,587,067,984,486,670,734,299,191,020,255,715,042,218,225,
490,688,297,510,482,351,848,458,054,453,442,281,196,692,620,543,729,650,137,
315,870,136,914,888,117,895,500,740,551,548,208,002,370,764,958,859,475,102,
030,786,754,958,104,228,028,047,436,441,264,972,450,469,760,622,802,131,984,
951,435,038,692,942,035,945,442,956,472,121,318,955,675,353,971,567,907,440,
755,887,164,108,802,240,060,320,612,839,886,009,924,259,641,638,271,017,243,
602,549,496,261,391,923,717,326,535,453,513,137,224,089,738,396,090,705,256,
709,744,362,944,466,798,804,613,139,522,411,435,824,337,183,110,595,146,962,
284,154,879,375,296,721,225,467,554,175,463,849,539,851,261,401,872,367,771,
995,328,362,032,926,615,765,763,280,666,417,882,109,754,255,805,864,167,419,
735,534,034,029,892,855,363,183,464,897,103,356,740,170,714,328,949,839,273,
034,626,671,416,892,252,838,121,547,054,303,048,104,264,874,326,391,548,003,
189,617,383,541,046,449,735,018,762,783,359,847,130,941,383,363,046,931,495,
397,526,819,538,580,719,507,868,609,311,164,687,745,097,228,768,504,485,337,
871,391,759,978,285,682,328,936,417,397,447,980,527,354,038,490,347,817,915,
295,705,464,823,636,239,666,161,490,129,596,564,027,213,697,294,391,755,389,
561,699,372,339,076,467,184,640,566,107,070,668,027,049,375,894,335,078,407,
933,689,065,926,594,688,192,678,391,905,075,423,627,228,733,578,207,913,726,
258,493,342,071,928,567,345,262,656,612,936,623,727,244,725,016,251,886,208,
514,453,165,412,147,236,334,994,325,622,649,585,363,226,793,986,546,928,671,
262,948,904,207,528,052,666,217,218,077,053,196,808,220,699,809,558,312,381,
289,743,291,119,312,509,749,264,387,681,007,011,821,409,196,957,986,877,023,
742,998,952,529,624,907,614,277,026,645,433,632,150,695,323,439,080,543,622,
193,181,947,252,076,536,178,081,257,584,942,686,203,194,883,579,757,870,051,
745,034,997,647,386,881,513,021,973,626,869,440,801,391,542,829,882,543,072,
869,133,984,667,874,240,967,351,601,371,146,385,393,638,440,403,339,580,218,
233,715,892,324,858,195,576,937,543,097,341,739,161,077,707,142,054,583,686,
779,850,968,839,433,562,938,032,694,153,665,556,590,859,519,016,168,943,748,
736,231,937,977,347,872,360,747,054,980,553,658,700,237,840,758,278,043,120,
220,391,657,194,485,629,678,567,695,377,501,318,196,630,593,536,801,343,716,
354,134,647,944,031,298,518,794,834,749,127,795,331,971,662,522,940,923,663,
324,149,071,967,902,603,202,513,857,594,700,162,885,898,851,735,708,778,641,
003,589,446,289,084,577,694,369,356,834,572,759,540,345,428,109,435,652,674,
923,795,970,494,682,896,080,919,783,736,403,111,078,564,306,621,589,865,849,
155,687,966,570,684,891,678,536,650,093,702,379,042,717,393,089,155,503,953,
383,788,271,842,945,448,065,846,436,682,718,011,446,701,499,661,555,204,746,
046,494,698,218,051,615,619,261,578,174,673,257,852,413,146,579,761,722,103,
269,515,654,997,813,068,985,014,474,298,308,188,841,821,697,911,404,234,561,
707,662,500,366,009,576,323,863,083,239,030,199,620,738,968,696,537,530,682,
263,383,487,378,447,866,941,542,299,045,235,968,694,378,486,099,105,760,032,
148,196,655,622,151,262,014,307,947,144,066,667,076,873,305,563,573,305,745,
439,807,477,323,398,473,307,634,287,349,848,837,688,932,394,650,802,152,815,
039,494,683,804,385,187,001,376,859,787,953,863,469,523,669,536,154,954,754,
015,244,776,512,224,603,224,097,360,321,943,901,042,055,036,446,921,293,038,
938,014,515,373,436,971,651,934,422,677,939,481,069,509,317,445,357,185,983,
726,410,761,322,980,102,185,503,552,358,494,705,135,206,417,626,807,258,770,
908,863,194,869,336,442,773,137,050,563,550,238,110,388,646,424,663,789,939,
604,381,073,105,940,333,403,588,657,581,996,129,281,376,921,376,002,779,564,
394,871,832,662,195,281,385,904,871,899,790,921,585,213,923,719,007,829,466,
537,867,810,158,824,038,671,991,562,046,317,985,183,279,026,873,033,536,371,
743,377,846,522,314,289,120,149,848,805,167,429,160,387,871,669,163,317,310,
663,277,326,999,339,189,340,014,863,754,465,618,588,169,163,250,795,540,149,
817,352,150,683,526,245,643,716,775,153,365,146,333,264,275,850,713,628,588,
418,564,480,465,290,176,156,744,687,785,263,958,700,913,791,019,276,147,353,
425,471,067,609,743,536,545,621,274,867,286,306,119,527,028,154,226,796,237,
107,355,663,035,286,184,426,489,613,205,101,767,051,243,140,720,497,807,804,
663,357,658,593,913,769,815,723,726,249,200,999,098,439,207,762,467,497,387,
630,754,506,280,021,867,903,652,097,496,670,850,699,944,690,694,533,260,732,
513,301,828,280,787,424,870,786,091,877,525,304,696,814,736,104,072,043,381,
726,636,662,689,385,840,356,597,117,725,670,004,666,765,101,489,863,498,313,
678,127,509,137,424,007,460,634,679,181,058,302,060,879,774,543,158,153,658,
665,056,007,480,012,288,883,938,787,592,791,908,161,613,836,593,175,331,856,
855,184,711,452,651,763,553,275,074,164,023,911,405,049,111,015,098,701,366,
002,549,544,693,876,993,299,911,703,469,136,657,346,310,588,375,852,203,108,
741,947,520,153,641,737,107,832,447,230,501,484,469,703,805,622,134,350,104,
109,819,452,820,583,942,135,256,700,222,477,671,597,067,723,333,174,898,429,
248,498,962,858,698,193,557,897,672,138,751,688,510,787,366,109,967,013,734,
605,969,209,502,056,805,143,407,056,403,337,264,568,384,549,337,499,360,719,
044,218,374,171,199,587,687,127,277,260,698,228,558,715,098,503,010,733,587,
366,482,433,802,790,408,273,331,988,497,055,177,837,925,706,194,002,464,791,
240,517,157,106,633,918,823,336,972,291,331,606,486,540,081,436,308,251,523,
798,534,673,568,507,973,129,290,636,157,372,476,188,483,970,229,408,827,979,
342,387,346,145,244,682,488,745,467,842,604,802,207,065,435,457,126,026,376,
678,640,874,623,791,082,038,526,715,387,566,833,085,391,803,199,560,774,198,
262,566,421,297,306,269,283,799,935,620,862,110,538,266,580,440,260,921,802,
921,390,135,410,260,302,940,614,189,857,938,938,663,752,714,255,732,655,045,
049,016,544,841,958,173,024,977,258,856,964,147,388,031,173,966,942,301,069,
039,769,353,620,789,471,808,185,840,665,075,879,442,702,281,941,648,588,577,
955,325,656,506,479,390,605,734,023,669,819,642,785,525,092,248,085,459,020,
375,235,929,312,435,745,495,404,121,979,484,066,682,423,351,287,424,952,610,
547,487,604,951,451,482,269,340,314,946,047,526,715,058,629,473,851,048,873,
412,856,699,196,574,977,775,862,487,742,477,793,424,897,384,350,459,553,143,
443,017,541,509,445,705,681,463,494,675,067,524,759,816,917,915,224,020,797,
516,865,258,371,938,167,019,854,542,339,629,019,419,911,894,894,232,974,518,
395,129,179,759,401,635,939,768,484,523,328,833,909,206,569,186,763,079,367,
273,593,427,566,315,022,033,997,005,770,335,048,252,791,279,344,668,334,653,
991,528,716,603,979,401,495,425,376,716,622,534,954,859,597,546,445,177,032,
665,819,979,896,525,061,414,846,183,038,327,263,754,581,897,102,595,911,154,
228,592,276,877,592,592,308,957,252,571,685,004,097,235,168,850,832,775,475,
232,632,064,399,175,706,734,467,389,610,843,401,276,316,702,371,147,557,482,
132,390,532,917,465,743,012,132,905,855,278,806,472,276,467,883,076,871,895,
649,022,763,511,911,731,844,307,889,916,479,274,641,844,652,290,839,295,533,
122,444,526,234,008,196,942,661,544,662,162,314,211,116,636,435,222,511,616,
075,579,755,320,878,522,685,053,152,503,287,042,897,614,325,578,601,065,837,
626,332,207,949,836,015,498,456,376,692,126,385,948,501,204,170,998,478,909,
774,994,551,278,970,450,594,360,174,437,343,412,709,572,375,708,037,488,212,
887,751,414,620,371,889,390,037,761,897,846,655,212,677,851,144,725,554,378,
464,678,695,160,541,193,753,811,871,442,315,311,305,471,349,386,713,600,131,
080,157,057,017,727,828,154,728,970,107,864,218,218,584,487,034,018,126,066,
306,632,603,342,577,870,850,675,710,503,523,151,655,184,934,905,499,787,152,
246,304,877,966,374,222,709,553,692,757,109,552,671,807,213,343,528,345,585,
746,432,404,139,771,960,214,138,155,263,567,203,696,579,411,239,271,305,665,
681,505,564,704,314,654,989,682,306,918,319,812,770,876,433,962,286,976,776,
462,965,912,438,385,428,605,775,014,047,870,111,055,427,142,262,694,281,404,
618,183,684,560,289,234,681,676,170,816,288,351,688,274,885,075,962,989,574,
410,022,425,214,968,071,304,693,320,751,265,120,695,185,821,622,891,791,369,
614,175,321,676,765,510,636,285,511,883,270,103,894,897,818,031,885,235,639,
379,349,069,050,660,031,666,166,137,956,758,015,537,063,167,767,736,044,470,
745,388,616,961,827,835,027,088,508,343,216,229,403,067,857,041,403,847,897,
562,657,782,664,988,338,951,790,652,183,728,880,059,301,953,400,709,284,572,
053,950,672,378,622,512,349,549,925,271,160,337,824,585,367,304,097,613,868,
247,287,721,223,548,529,734,379,205,584,481,551,014,194,574,399,884,213,818,
457,191,792,338,763,788,354,542,187,631,326,387,003,578,347,711,059,239,975,
904,512,853,869,803,876,233,875,982,152,648,600,723,888,894,949,814,030,667,
220,785,352,139,803,937,897,756,515,617,394,037,466,760,737,531,755,066,642,
448,285,426,214,179,413,670,980,268,716,363,207,870,278,503,647,317,373,725,
342,814,148,275,150,698,557,011,112,025,390,113,437,649,011,712,688,032,696,
195,265,684,201,480,131,531,168,614,421,212,564,773,981,685,975,168,826,440,
289,368,319,470,456,976,714,289,671,421,750,557,807,504,758,350,175,140,277,
392,051,507,774,830,073,481,900,499,947,293,233,952,327,868,584,884,027,175,
235,683,292,609,564,175,146,400,888,357,630,854,296,329,740,496,360,600,607,
769,990,210,351,833,201,118,322,809,162,621,260,749,956,488,832,462,476,684,
430,329,186,435,965,125,855,926,462,766,341,697,700,773,161,358,101,996,117,
796,953,827,308,855,920,936,447,326,828,875,387,998,412,021,887,200,855,365,
643,366,033,694,814,001,425,098,073,061,672,892,571,590,694,643,800,757,080,
792,099,829,133,498,251,639,054,258,391,479,744,224,745,114,607,265,384,295,
980,492,007,206,248,828,140,362,842,385,444,141,388,813,109,496,244,569,915,
156,844,710,445,235,305,509,795,929,958,013,944,457,168,013,652,830,272,051,
507,131,960,453,673,844,697,191,657,941,919,064,889,939,545,642,337,938,088,
651,330,010,534,638,801,999,670,721,505,219,362,755,615,696,298,994,612,766,
374,623,037,492,856,167,445,298,896,670,707,287,443,634,463,506,382,595,251,
829,648,191,255,343,625,560,245,090,832,556,894,794,671,295,620,630,756,579,
827,728,881,796,308,392,388,164,817,118,732,197,831,437,779,517,381,916,251,
624,125,048,691,289,299,230,937,985,171,034,146,567,979,046,734,758,198,216,
674,130,619,316,848,737,343,849,337,068,575,916,567,413,718,996,463,285,933,
781,169,467,737,367,186,179,418,309,172,437,570,718,993,288,289,055,346,118,
819,229,203,828,033,462,317,431,662,540,961,142,641,525,004,584,365,933,419,
988,615,578,302,518,246,015,196,861,481,916,710,217,506,818,871,607,869,482,
278,068,392,451,607,168,735,653,937,704,198,794,632,457,088,096,283,249,949,
817,223,246,686,176,604,755,172,021,694,403,709,280,168,387,986,550,559,568,
802,092,463,604,974,532,427,474,177,569,839,176,194,638,715,797,352,211,518,
010,069,661,797,441,664,770,627,449,386,775,748,098,981,211,550,448,679,484,
240,836,124,648,107,857,819,828,725,666,201,585,495,275,036,922,098,966,539,
651,646,638,935,735,441,338,481,933,966,911,646,009,008,573,777,601,216,582,
299,411,308,765,407,196,870,845,435,910,832,284,265,015,844,090,548,838,603,
909,265,297,844,150,999,484,080,942,939,480,705,145,656,467,269,105,983,434,
419,342,642,742,793,107,872,308,167,018,595,891,643,778,493,401,993,909,336,
473,537,385,790,488,312,467,007,260,081,645,906,718,611,125,209,906,028,309,
757,020,680,826,544,670,762,484,520,927,548,270,408,077,497,676,608,006,986,
002,966,066,003,561,049,343,777,821,290,884,630,646,442,086,652,601,058,119,
518,702,372,767,458,165,627,533,250,009,491,426,513,933,807,405,458,614,047,
636,614,927,357,619,903,751,175,055,293,452,567,105,747,249,164,574,720,174,
876,448,138,481,959,812,534,453,606,185,533,826,029,398,526,098,787,845,584,
478,497,313,001,801,336,387,007,235,892,645,533,320,283,455,945,334,589,690,
821,986,438,291,412,978,421,674,920,075,646,064,145,917,882,169,954,435,295,
015,149,462,841,532,268,325,560,545,698,813,491,198,724,059,236,832,658,152,
071,224,363,205,057,036,801,884,042,761,789,857,291,119,762,310,390,151,253,
880,101,934,836,096,531,030,810,034,492,503,052,457,815,785,589,982,310,733,
340,070,536,659,170,456,298,882,600,602,516,186,935,465,769,687,350,483,697,
226,895,799,894,168,279,903,172,815,722,938,575,187,570,622,580,686,455,913,
009,670,149,752,559,136,643,858,466,138,645,503,714,085,000,381,908,953,457,
668,996,809,688,414,127,642,558,442,125,072,712,664,593,676,081,356,310,339,
258,774,053,016,201,141,534,522,432,838,332,984,278,493,267,595,782,755,862,
898,849,255,674,982,853,611,179,793,185,411,816,548,750,159,548,911,272,240,
513,976,842,051,940,847,892,536,113,576,104,263,062,537,071,146,998,731,323,
578,887,940,645,783,221,746,062,018,628,778,743,567,941,461,656,847,626,991,
439,975,998,019,790,577,189,315,804,176,163,071,760,711,090,781,888,993,355,
601,600,704,636,902,644,191,382,703,966,521,412,168,746,796,129,510,470,714,
679,490,377,622,526,112,172,604,239,167,288,774,487,149,545,480,762,397,247,
778,222,633,480,655,363,191,630,768,724,061,817,609,165,873,887,473,456,518,
024,831,416,250,307,270,183,130,538,724,086,480,379,361,287,188,792,607,652,
765,437,004,103,657,212,165,775,269,616,430,629,875,225,087,813,151,420,866,
167,621,453,748,838,047,344,455,801,655,590,144,266,490,885,553,770,692,872,
666,844,894,937,677,976,086,617,655,066,902,193,687,646,667,483,807,838,116,
625,678,262,825,345,047,967,953,472,936,723,183,582,008,709,900,136,212,092,
570,825,311,833,691,372,750,924,964,129,036,418,467,025,433,447,631,974,944,
170,190,737,381,903,050,277,189,299,091,561,420,409,252,733,290,277,869,266,
809,299,290,312,768,138,638,438,165,948,098,452,724,555,991,194,639,417,624,
340,528,134,777,247,893,541,959,379,189,796,582,775,712,621,174,237,018,753,
267,136,483,199,476,860,049,245,354,688,587,147,871,633,369,713,350,275,238,
948,011,238,294,007,781,440,067,968,753,345,883,435,848,901,542,110,191,581,
017,222,039,699,705,762,562,785,628,411,264,363,331,028,029,149,082,761,082,
110,273,662,274,211,932,599,906,857,364,747,635,268,395,329,887,084,295,234,
584,806,218,944,208,073,797,098,686,537,479,316,749,825,404,793,363,803,567,
076,479,558,092,147,711,979,217,645,263,936,258,782,862,458,035,781,123,893,
206,879,256,511,843,237,967,418,309,888,859,028,059,935,057,362,055,224,114,
780,836,578,116,546,715,920,245,648,348,597,732,743,610,816,413,789,628,472,
046,660,317,762,918,671,913,019,319,347,357,107,461,085,631,812,715,976,853,
179,524,343,287,239,400,302,999,199,884,632,444,254,370,530,842,878,055,575,
126,872,315,235,770,546,018,827,624,114,309,035,688,691,525,796,999,816,845,
896,780,387,537,498,441,926,866,801,039,486,098,116,815,191,574,501,099,966,
049,330,403,608,723,077,892,876,983,844,320,594,213,543,461,283,008,602,219,
143,394,214,266,946,617,258,278,260,805,716,636,882,482,083,956,382,347,512,
231,123,615,277,712,396,957,425,806,751,795,484,293,944,244,418,629,470,968,
713,377,374,902,358,296,262,883,795,819,383,087,913,446,490,541,712,807,035,
312,834,113,794,822,534,919,773,938,235,661,292,676,666,885,148,504,924,871,
973,794,732,614,547,528,860,918,920,892,665,758,554,642,416,051,060,937,584,
575,683,387,418,280,918,764,513,318,272,101,346,461,545,642,353,574,886,146,
809,867,608,716,514,756,293,756,654,482,329,445,920,919,925,650,566,608,073,
529,832,720,764,492,113,619,090,634,329,323,214,169,680,500,658,400,515,857,
275,626,675,373,880,972,975,718,549,210,188,822,232,235,463,210,438,088,045,
123,052,589,346,788,491,617,473,932,780,316,053,152,542,449,879,828,064,791,
079,690,145,713,833,010,594,381,072,147,557,958,521,807,956,384,312,348,521,
934,088,795,338,480,692,998,063,397,702,000,937,600,077,668,966,624,548,538,
895,081,692,926,615,322,002,678,184,837,689,801,380,552,084,295,436,051,446,
160,365,304,333,950,742,253,962,878,272,850,489,024,330,898,794,697,534,286,
468,260,446,740,132,515,395,409,843,082,886,421,674,025,877,255,050,555,142,
706,119,876,300,076,757,410,255,004,966,714,556,749,577,777,455,999,149,609,
638,301,557,795,934,876,708,662,781,859,360,775,196,393,817,205,484,495,325,
773,459,947,507,267,912,902,155,728,252,630,649,200,213,657,048,059,372,625,
603,396,308,584,918,107,186,256,392,551,801,037,381,404,162,965,642,741,253,
171,368,067,632,857,502,443,033,962,262,162,064,869,366,180,968,321,920,668,
028,480,483,976,523,857,757,351,138,354,110,039,997,279,894,462,459,081,148,
387,011,283,084,401,335,478,464,657,596,897,507,418,311,109,221,648,392,274,
181,172,699,901,244,234,826,103,075,533,871,096,830,851,955,753,893,500,126,
079,761,018,546,365,027,931,270,009,561,050,497,101,309,553,559,919,248,977,
633,481,159,738,583,303,804,870,954,573,515,321,899,596,900,552,378,247,600,
877,938,483,328,474,106,217,569,428,457,025,992,753,469,084,775,547,493,818,
866,178,256,096,921,027,371,298,281,902,165,998,812,747,485,541,401,654,393,
641,515,561,777,656,661,150,754,773,382,073,786,723,192,438,924,955,649,667,
909,559,842,298,494,999,267,895,387,609,710,742,087,167,092,138,658,599,770,
795,579,673,251,648,412,545,041,158,825,467,766,939,908,650,944,099,095,507,
411,371,370,566,325,015,619,924,612,047,670,671,825,806,133,993,095,483,499,
626,400,330,984,231,899,670,491,560,559,367,329,620,773,118,735,090,600,552,
759,459,867,305,453,647,997,714,805,114,557,862,687,642,643,033,449,227,390,
614,879,177,159,531,285,947,422,745,405,072,975,710,624,479,705,280,701,052,
720,058,259,034,284,108,291,688,016,677,010,497,363,181,168,420,989,896,336,
655,759,301,474,235,889,279,134,532,994,088,023,862,627,003,868,313,383,333,
042,825,884,662,120,975,530,455,501,885,495,676,786,137,945,184,229,654,697,
193,755,756,804,669,654,267,699,783,673,699,603,090,714,793,657,954,006,336,
652,138,674,466,592,977,128,557,360,308,930,931,261,935,157,971,943,089,386,
074,594,596,675,792,434,194,742,309,159,957,957,129,603,796,732,298,129,218,
703,335,176,967,749,290,197,773,707,483,569,049,569,633,102,618,496,221,906,
903,193,215,546,768,111,977,057,566,932,174,034,798,361,622,472,324,870,357,
251,824,479,908,228,164,138,126,314,417,723,758,602,249,256,244,860,631,118,
027,952,935,971,973,206,976,109,030,307,543,519,508,613,576,854,135,872,494,
638,753,110,677,302,585,501,414,345,618,341,349,382,115,401,444,489,636,718,
394,768,419,005,051,225,435,827,783,186,813,211,376,267,673,024,915,424,310,
904,730,047,309,361,190,697,549,588,192,447,246,028,139,404,839,821,549,396,
289,395,317,735,829,099,545,257,410,017,750,772,421,686,772,307,169,255,863,
380,119,437,711,583,567,834,821,824,317,645,699,733,270,662,689,490,310,388,
461,125,228,828,728,107,528,370,189,805,597,126,923,856,487,333,589,989,420,
409,332,457,809,308,196,919,804,417,296,485,595,919,084,157,124,540,584,466,
904,986,591,118,490,722,415,558,339,849,026,808,515,875,971,947,795,377,902,
618,971,505,613,849,090,770,072,211,375,944,987,816,183,127,073,430,108,434,
279,169,506,895,794,293,928,962,157,060,288,961,332,639,566,220,742,320,044,
668,815,318,061,332,859,044,169,692,653,268,726,146,458,259,080,674,062,618,
912,385,642,555,071,128,662,734,056,684,182,107,033,118,433,606,205,173,891,
313,325,075,824,267,679,418,469,665,704,384,991,713,209,145,626,145,436,536,
363,700,750,745,282,745,884,013,210,533,589,719,507,089,474,981,064,851,896,
704,089,107,438,337,978,487,961,482,334,978,453,964,865,184,776,905,285,769,
550,243,736,186,610,951,851,866,747,634,303,440,937,508,722,792,575,707,660,
497,854,778,484,267,280,804,596,483,623,258,005,494,379,757,127,423,838,143,
242,092,114,610,304,720,403,534,674,211,181,217,838,895,237,056,778,536,610,
103,438,319,280,613,730,009,696,251,208,709,171,382,580,646,212,054,644,584,
523,330,421,306,587,272,327,654,138,220,643,860,510,194,906,229,363,364,508,
098,820,842,979,428,450,815,074,396,945,306,078,595,464,377,925,960,591,534,
334,409,584,735,879,288,266,752,491,862,646,551,647,557,025,718,556,227,953,
560,372,151,871,525,756,051,265,583,303,147,055,708,995,803,074,710,752,126,
344,468,135,216,147,870,934,587,772,883,870,327,445,071,561,681,198,221,621,
401,838,891,492,477,305,314,076,260,378,783,655,805,684,138,303,863,064,648,
577,487,459,019,667,296,013,603,663,587,959,907,465,397,003,448,552,383,318,
020,112,850,558,095,211,627,683,462,527,429,887,484,828,223,700,047,535,958,
447,396,880,887,529,525,752,710,584,121,304,588,462,763,179,061,445,323,206,
418,548,049,046,540,024,675,202,328,457,772,133,860,521,958,990,826,594,311,
269,386,718,268,688,997,219,245,935,949,328,346,328,103,327,338,538,681,436,
038,994,182,189,015,023,233,449,272,456,955,908,613,850,598,363,174,903,660,
301,732,891,434,216,421,824,362,047,771,738,504,353,309,064,266,202,282,427,
693,520,779,452,196,913,319,971,637,599,734,949,756,734,723,344,031,718,134,
093,581,721,441,609,455,699,424,072,340,684,151,069,378,098,745,126,733,839,
068,251,148,728,666,622,639,225,670,087,380,966,565,068,704,470,680,797,137,
796,701,255,860,777,415,077,886,942,595,950,006,030,095,108,602,839,593,809,
567,386,960,686,933,555,530,931,936,167,514,984,939,826,292,499,844,455,201,
276,917,894,443,739,580,063,668,319,791,672,933,693,066,983,477,939,844,928,
839,968,631,403,032,519,156,544,249,804,744,570,935,651,452,805,053,944,611,
696,568,940,581,092,012,812,729,678,546,081,941,507,044,665,871,845,176,288,
101,011,219,620,861,843,293,514,436,150,370,151,073,627,609,147,661,339,788,
688,432,285,440,395,329,987,233,850,389,910,194,927,477,407,871,108,391,471,
054,807,830,623,251,505,529,287,664,958,041,155,662,280,583,023,542,107,454,
785,681,101,664,975,487,362,203,022,310,548,725,416,760,576,357,359,099,976,
208,362,186,155,836,970,251,125,117,088,012,687,572,855,845,050,675,485,629,
990,464,353,536,776,200,562,076,856,517,704,369,869,264,343,260,727,192,162,
083,398,756,004,673,927,925,439,807,929,331,376,855,251,009,961,645,418,075,
277,655,130,981,595,666,882,900,570,781,308,573,447,260,185,527,419,899,167,
690,143,645,230,298,751,489,282,268,167,041,115,342,232,714,802,464,461,171,
146,655,667,027,988,956,113,547,521,591,970,571,080,020,549,646,748,228,460,
282,304,806,365,622,781,125,747,632,231,454,257,319,698,963,021,555,227,616,
894,976,260,423,275,855,003,367,753,049,448,647,893,305,071,836,475,839,825,
971,313,103,727,282,149,183,742,920,072,023,591,586,738,755,225,344,733,044,
193,914,754,337,664,190,329,141,136,123,940,936,153,437,695,834,758,048,965,
403,741,078,397,293,419,976,833,459,589,782,447,784,874,823,415,703,472,057,
906,093,168,622,763,773,351,917,504,624,211,203,240,216,620,842,816,336,111,
992,131,323,060,583,907,216,077,244,994,118,099,179,050,857,287,607,737,072,
871,103,745,241,025,226,011,522,062,884,529,211,612,270,970,951,069,801,608,
823,857,032,641,185,137,558,768,143,465,188,682,624,623,786,598,022,038,300,
482,483,772,214,577,737,875,189,182,322,222,355,074,646,628,660,609,679,341,
535,631,957,317,325,650,629,960,450,869,366,202,441,578,023,840,830,100,325,
034,472,458,475,246,313,929,159,783,752,913,485,506,360,098,566,520,607,146,
168,023,335,202,392,851,651,908,791,227,859,835,029,227,793,965,001,140,013,
776,803,510,560,101,316,499,085,610,749,442,659,372,840,313,837,771,741,754,
992,450,782,769,363,144,567,182,836,211,171,001,421,328,119,378,674,738,527,
716,041,107,812,700,484,781,556,429,389,893,883,871,256,998,778,076,636,603,
494,084,747,188,360,084,866,602,263,191,285,694,290,507,170,703,901,239,722,
066,557,750,519,602,294,789,343,340,678,180,214,858,249,957,649,253,168,066,
161,129,460,876,199,263,279,982,132,580,517,905,221,228,118,773,025,784,925,
803,688,229,456,234,603,799,389,053,671,527,677,880,556,133,510,861,190,928,
708,589,147,275,216,785,069,694,007,687,629,583,548,709,109,131,770,736,556,
197,378,603,824,812,304,613,015,465,626,810,415,600,482,743,494,867,365,313,
332,784,000,461,830,206,304,848,073,956,120,861,506,069,352,539,077,121,564,
062,680,150,800,046,695,619,899,097,972,511,755,050,375,295,742,026,252,473,
978,115,836,130,107,291,483,889,653,494,016,982,024,066,513,506,055,036,619,
185,542,658,615,488,675,150,713,232,386,527,118,138,708,894,503,510,871,292,
892,293,586,172,908,856,263,774,853,491,016,395,206,782,552,534,499,038,542,
273,507,371,226,875,108,996,020,719,884,246,974,930,221,964,608,836,594,161,
457,605,395,621,220,066,859,621,185,073,393,319,544,961,851,396,426,966,980,
040,956,773,671,709,884,957,145,382,735,080,521,599,479,362,711,838,033,464,
754,268,954,296,519,074,460,466,168,686,390,795,719,380,383,013,919,400,500,
753,100,545,945,145,999,994,246,626,526,605,450,322,604,804,965,407,506,694,
879,065,684,260,903,781,321,718,922,442,785,631,910,272,763,427,803,465,611,
200,433,978,165,390,164,382,721,773,134,838,564,844,659,071,533,498,806,749,
602,165,745,883,192,829,660,942,840,958,415,051,913,141,410,777,326,818,690,
820,420,800,143,333,261,210,651,565,454,844,056,537,182,876,521,090,857,746,
068,739,703,170,654,851,812,839,719,054,742,217,503,377,817,865,616,341,827,
936,072,755,307,834,695,049,895,535,636,492,233,793,509,339,224,901,670,628,
365,740,787,982,580,678,281,014,225,336,961,020,929,430,829,167,983,695,954,
072,744,715,454,702,157,813,138,018,643,307,720,564,451,844,922,996,654,846,
998,141,967,810,853,643,676,172,087,413,123,988,060,362,362,359,415,098,503,
858,621,998,061,039,121,161,024,426,024,019,149,087,812,563,695,378,582,397,
182,396,530,195,349,159,598,522,605,346,962,712,688,307,478,241,075,731,770,
622,737,582,233,787,356,532,401,832,458,655,643,613,654,920,678,496,017,437,
166,103,771,546,730,110,777,721,466,238,263,020,767,795,142,793,096,581,634,
682,255,121,490,732,207,795,057,428,909,652,355,786,992,290,028,882,976,882,
038,141,825,511,540,856,738,547,123,083,406,738,725,031,527,887,463,985,138,
716,857,740,505,174,385,944,258,574,647,905,952,124,173,655,454,349,781,761,
041,638,350,733,510,906,178,365,432,301,250,421,645,436,003,801,246,710,095,
652,592,013,770,532,635,935,540,510,744,513,995,463,380,872,625,424,597,751,
556,667,255,693,361,052,531,826,501,168,964,865,553,469,057,134,844,813,947,
617,727,926,468,039,615,123,741,912,368,593,752,967,035,925,676,200,261,118,
920,139,857,367,845,442,971,694,999,712,501,367,075,442,413,742,665,090,814,
855,275,357,639,647,237,669,453,133,217,117,207,838,962,968,737,903,527,381,
163,202,830,909,848,281,729,185,704,803,838,333,243,689,485,364,913,508,213,
995,409,786,965,335,926,924,640,377,798,196,412,950,495,378,545,209,827,833,
291,905,952,761,341,774,384,094,080,757,897,942,738,570,088,878,563,443,512,
463,700,670,554,828,254,783,797,693,043,322,700,023,423,853,026,058,927,361,
794,529,965,410,839,284,394,809,618,757,243,546,887,212,683,846,151,258,953,
553,951,662,933,042,928,291,116,655,749,121,208,859,587,062,324,114,783,856,
932,867,409,180,632,933,031,834,385,940,364,094,513,805,403,968,035,100,482,
716,716,692,418,720,573,555,100,940,765,428,540,455,261,825,356,090,561,263,
114,128,097,103,767,102,368,713,360,528,516,556,237,096,435,894,840,437,021,
485,615,236,369,991,049,506,253,930,460,364,366,494,282,204,453,607,325,488,
445,754,327,485,862,609,849,328,829,452,073,161,021,067,081,474,821,161,918,
979,616,726,155,817,759,348,653,209,018,097,371,791,876,826,170,472,918,414,
005,987,758,517,474,241,025,381,571,864,676,016,354,470,387,207,740,928,179,
278,218,181,238,598,877,258,764,153,734,660,372,764,233,928,611,709,012,552,
388,779,746,975,602,254,564,549,684,525,104,449,342,400,857,667,921,180,338,
482,862,232,275,144,722,764,915,137,765,933,350,956,458,943,476,350,722,039,
138,554,751,898,894,844,424,576,415,726,320,020,433,084,750,780,634,193,875,
920,153,812,009,224,373,548,381,534,411,858,203,376,872,341,455,540,096,483,
381,553,102,883,909,489,026,594,775,047,273,379,067,111,760,324,336,924,216,
758,525,273,136,821,271,806,210,592,719,184,944,213,780,382,424,728,740,817,
598,527,743,806,774,148,895,568,259,600,402,855,192,120,239,525,842,491,701,
775,166,976,700,737,638,357,692,763,673,435,603,943,966,364,864,629,939,801,
822,513,550,710,750,347,691,638,294,229,828,894,976,099,620,586,663,430,412,
978,191,680,194,536,298,172,754,670,293,838,938,560,312,306,170,465,316,629,
211,554,768,008,697,194,355,657,325,327,948,132,354,312,258,205,642,577,956,
487,666,260,183,212,374,533,031,969,767,102,288,708,091,704,225,296,312,980,
045,235,718,336,924,309,867,904,473,765,679,704,206,598,958,956,298,178,227,
787,462,510,186,939,481,363,771,754,639,595,450,712,683,338,869,063,617,820,
033,507,194,660,871,607,896,944,859,192,015,161,861,344,347,955,356,099,238,
506,371,947,838,503,977,653,248,148,905,126,976,119,252,603,079,950,494,561,
469,440,423,727,831,754,701,474,059,086,495,977,128,498,039,574,117,337,720,
840,331,264,901,722,549,600,220,373,176,830,908,205,485,337,060,202,154,813,
401,366,561,956,109,059,713,412,758,055,747,107,627,017,626,292,934,661,824,
428,901,831,003,028,422,248,385,445,355,099,595,490,110,761,360,817,885,910,
697,064,913,348,396,504,615,759,659,821,832,387,520,475,931,363,411,792,889,
314,606,314,729,894,064,712,857,497,974,781,018,757,925,743,325,974,011,416,
037,138,024,759,836,361,076,528,854,841,423,580,495,263,662,481,007,849,180,
285,207,648,422,252,703,383,348,283,231,443,229,216,166,475,609,427,854,377,
189,675,939,051,058,597,896,463,441,866,279,906,112,579,691,020,305,807,422,
526,866,555,897,731,144,121,907,459,932,711,958,552,311,417,728,256,893,873,
841,492,420,873,302,737,625,070,539,522,309,640,045,356,682,713,050,147,075,
171,042,262,669,816,662,962,994,084,966,731,277,539,084,508,633,642,397,188,
607,392,667,801,775,532,286,997,884,620,703,293,495,586,191,356,262,433,343,
244,741,368,397,033,505,881,789,835,957,465,255,200,367,219,183,105,422,961,
084,734,109,161,041,230,607,647,654,884,769,358,490,805,036,182,010,428,936,
475,269,727,084,688,317,551,006,793,976,598,457,864,008,431,365,920,346,259,
577,703,117,895,688,290,969,849,945,291,819,523,751,972,731,830,714,070,102,
539,425,013,741,458,305,531,278,182,365,953,905,479,060,376,382,405,239,048,
007,117,351,379,539,653,937,646,814,294,960,321,317,989,224,277,123,151,733,
857,330,975,097,878,433,921,818,140,433,219,882,139,842,911,776,925,789,633,
680,014,607,166,380,849,166,753,755,188,562,487,650,517,351,261,644,813,115,
332,550,730,701,953,295,440,473,387,209,439,191,180,136,341,379,160,058,496,
878,164,876,818,517,142,507,825,289,250,240,564,864,491,952,591,976,933,920,
698,024,566,849,731,833,995,103,919,754,529,756,342,709,004,812,547,623,093,
950,731,918,172,708,985,466,050,677,719,212,508,376,875,196,382,625,500,447,
987,163,130,330,793,139,707,517,294,069,651,792,861,374,670,706,331,922,270,
025,059,984,162,069,679,545,894,146,611,252,891,198,560,134,603,168,367,041,
288,394,046,936,226,543,538,508,211,145,209,937,298,173,895,063,138,483,808,
089,693,851,424,978,494,078,371,333,965,134,021,557,986,202,304,933,609,946,
202,869,600,796,113,698,221,296,571,499,807,199,759,252,527,219,029,352,142,
858,717,597,864,290,121,982,565,455,743,961,572,695,180,239,469,353,395,404,
765,246,017,156,446,271,052,411,574,979,235,721,005,117,159,890,636,924,286,
961,067,902,621,509,516,480,563,495,913,564,571,271,251,288,041,533,119,730,
992,646,429,624,365,953,110,489,670,117,405,931,188,775,522,819,179,256,620,
233,794,379,300,275,539,961,871,015,341,921,350,897,432,770,166,412,378,631,
171,530,435,073,518,279,701,965,298,285,140,716,700,040,122,099,307,278,885,
717,976,643,981,479,292,793,875,997,877,618,862,852,324,441,894,566,182,372,
979,277,534,155,164,164,767,436,401,785,301,409,623,198,369,995,261,686,596,
026,984,649,621,753,842,833,259,002,565,386,943,774,604,032,627,061,445,370,
703,032,721,263,174,807,259,683,465,100,604,225,811,699,875,879,210,267,642,
274,566,855,280,471,619,619,391,439,850,094,252,114,677,866,690,630,829,593,
870,142,000,645,852,236,601,310,258,148,571,245,031,342,412,707,553,922,671,
267,771,980,043,082,039,075,663,335,459,910,776,470,591,744,861,061,190,706,
518,689,419,706,094,329,601,094,957,418,245,288,105,997,145,186,846,699,542,
190,870,615,387,403,724,981,314,221,245,321,485,867,589,039,784,297,864,599,
282,264,546,542,788,749,728,574,044,473,219,647,546,315,320,979,993,530,291,
998,344,326,812,227,375,693,168,713,624,329,238,396,544,385,333,509,090,783,
010,825,450,064,323,303,054,077,428,347,986,404,169,209,406,071,055,497,604,
810,953,150,095,770,714,812,408,988,171,426,063,693,047,283,262,514,335,340,
466,552,576,765,794,734,961,216,289,744,990,903,377,020,329,083,803,239,134,
025,590,764,458,684,100,402,629,864,827,799,599,388,028,330,010,300,118,418,
498,787,442,215,849,294,160,334,273,736,249,210,000,479,259,371,195,936,494,
849,712,474,477,907,200,519,390,073,791,607,107,982,081,360,733,283,188,245,
747,081,121,064,659,378,603,450,684,739,902,347,736,034,739,584,957,053,851,
500,327,422,027,562,174,184,381,826,232,550,606,300,032,604,483,556,262,202,
022,048,229,540,113,342,779,428,058,638,150,669,266,717,583,258,204,829,318,
397,231,283,460,932,703,515,769,178,040,083,560,782,293,567,609,111,695,174,
709,884,662,258,471,496,500,688,288,132,177,310,085,741,832,184,603,202,749,
468,169,527,852,374,355,147,310,671,020,672,068,564,524,465,712,349,934,525,
505,028,968,910,055,329,517,419,764,085,258,060,513,353,878,458,774,264,516,
065,086,097,856,268,061,231,341,406,827,577,101,677,630,531,741,772,335,261,
018,221,411,429,886,988,453,426,152,922,936,738,571,823,869,288,380,951,345,
730,062,895,551,616,862,626,201,806,421,986,679,676,490,820,931,355,241,062,
439,876,274,410,977,467,524,238,439,709,089,888,453,670,560,026,813,941,695,
477,172,971,266,173,936,482,856,252,651,009,884,655,989,424,246,368,966,155,
989,861,330,434,935,965,778,612,895,927,427,010,299,939,269,364,035,352,626,
289,770,969,602,565,126,801,781,600,214,680,381,994,972,117,328,492,989,791,
659,382,694,164,720,843,205,418,888,855,430,445,712,532,034,183,333,105,071,
818,433,165,438,770,524,719,542,467,705,245,285,862,903,983,831,867,635,732,
978,397,859,903,949,773,365,930,854,758,910,282,034,434,933,996,678,164,192,
879,432,483,134,534,041,963,434,959,206,011,659,246,200,041,956,162,342,899,
489,040,639,590,376,828,266,269,814,586,699,452,870,469,438,021,189,397,319,
435,170,977,466,840,522,969,504,612,501,772,452,550,888,754,182,194,762,538,
940,899,209,322,362,829,252,391,857,770,810,352,495,798,858,045,609,179,818,
344,139,525,734,426,422,024,970,460,810,274,571,998,958,866,861,271,879,857,
300,188,041,011,378,183,084,145,414,234,779,332,090,255,895,918,158,277,400,
352,535,974,653,604,808,010,388,698,388,414,196,410,331,281,884,461,756,648,
408,369,310,476,799,431,680,359,235,455,070,391,476,327,037,922,852,611,043,
353,136,209,494,356,556,970,324,734,863,070,833,977,828,346,661,272,014,077,
839,212,169,740,257,807,826,681,799,651,734,830,833,462,885,101,972,408,465,
484,743,123,956,283,007,063,370,168,846,105,097,921,354,027,955,751,974,010,
041,190,943,670,839,754,528,202,308,654,511,019,732,949,208,413,369,585,411,
732,281,182,656,297,190,950,268,720,001,863,297,266,544,963,785,659,135,899,
145,574,329,039,597,977,406,482,288,752,208,906,175,154,609,475,134,263,993,
431,240,066,127,204,915,197,770,906,610,853,317,624,215,498,288,107,080,480,
525,102,230,731,366,255,921,556,023,311,801,207,065,959,062,998,459,954,580,
388,270,028,490,402,910,913,472,155,917,208,112,584,600,865,147,262,739,032,
432,339,140,536,778,363,117,677,972,796,159,139,665,108,686,557,385,105,897,
203,759,128,793,646,877,358,420,724,675,372,516,751,386,258,218,532,902,836,
008,137,448,124,024,698,307,823,224,002,944,023,827,768,913,280,928,859,106,
393,234,595,143,935,331,611,068,842,403,367,859,307,489,269,690,800,520,458,
228,136,121,766,268,556,989,234,628,890,519,006,512,524,766,916,447,627,342,
149,171,459,506,646,918,262,680,620,101,114,235,924,857,061,819,126,991,770,
221,162,092,551,382,667,285,601,997,938,143,253,620,287,839,731,168,669,096,
143,033,799,982,877,707,802,248,728,937,853,268,980,022,214,817,243,634,184,
613,530,957,694,006,881,666,096,211,027,973,718,012,276,138,930,989,405,491,
694,063,665,719,051,646,087,132,612,458,841,711,898,728,270,301,699,444,886,
245,060,269,588,554,003,170,122,063,732,535,216,073,372,926,021,946,651,150,
911,543,759,414,598,245,877,539,874,323,871,012,605,364,553,990,229,584,068,
761,766,645,094,845,098,555,056,537,465,123,286,545,082,323,970,872,628,590,
263,882,550,398,622,046,603,375,977,275,487,619,326,502,081,603,178,060,344,
804,938,506,495,980,364,769,537,514,113,379,170,986,135,004,809,229,254,309,
746,955,487,852,458,452,436,033,812,694,447,329,041,913,852,401,048,540,783,
293,508,518,985,064,003,062,706,009,649,652,263,109,929,035,645,708,798,332,
683,596,677,401,378,992,936,521,415,016,435,759,039,941,959,813,194,853,209,
855,401,630,785,921,377,740,199,628,932,454,122,798,904,181,687,538,718,357,
963,353,154,251,624,753,162,165,197,634,926,397,257,330,890,611,345,518,694,
143,051,176,100,131,170,452,836,746,863,317,539,333,849,644,611,965,448,511,
085,854,511,547,060,887,986,530,905,358,377,209,758,735,247,085,720,075,969,
897,524,413,453,001,781,593,554,972,146,538,234,675,596,915,030,449,050,059,
025,981,943,546,610,456,185,363,477,665,990,524,589,956,795,442,231,544,530,
024,751,499,801,027,681,023,394,771,968,418,499,086,249,971,081,521,139,861,
195,515,532,186,846,717,141,302,201,693,053,732,770,954,803,815,762,776,567,
870,599,746,235,944,143,182,708,478,913,802,605,131,127,487,158,209,606,915,
112,570,136,219,423,939,526,590,884,130,353,811,633,058,825,987,167,557,906,
463,468,295,609,563,247,866,072,284,691,222,519,364,861,510,273,308,172,679,
213,546,194,546,958,659,948,779,924,493,805,297,116,773,101,955,361,444,263,
750,620,332,543,020,746,819,875,016,097,664,967,356,134,769,641,513,137,319,
380,566,113,212,763,622,738,964,823,036,855,369,273,195,692,997,371,696,941,
199,336,246,443,997,289,170,180,067,522,668,007,115,063,895,276,441,343,226,
449,651,529,342,431,849,059,294,773,341,839,802,991,995,785,062,391,766,990,
877,516,150,729,684,222,575,343,019,816,576,510,725,151,171,156,518,324,028,
903,501,363,992,941,088,952,279,424,036,240,552,939,716,110,311,994,805,504,
225,305,869,857,809,706,757,818,858,232,973,364,586,991,312,185,828,460,675,
897,368,600,010,451,965,147,348,530,703,482,888,608,118,736,054,904,510,147,
356,989,166,258,063,262,211,052,028,342,852,846,754,166,763,258,259,829,880,
277,957,504,261,376,021,174,376,060,689,354,787,179,556,844,528,758,450,355,
405,832,351,246,816,199,930,641,805,612,471,430,373,355,791,689,330,051,490,
155,402,983,353,572,725,899,668,268,840,243,569,983,874,438,242,972,699,230,
384,127,721,784,497,786,007,420,961,244,861,509,688,797,490,500,881,848,784,
041,813,748,249,982,301,710,503,966,273,101,788,909,136,151,189,101,272,287,
933,331,395,571,203,843,508,952,190,758,290,118,784,124,493,520,814,741,482,
876,467,342,011,906,610,964,483,708,789,294,190,925,709,113,184,784,513,206,
105,020,485,549,129,712,407,750,645,894,331,217,666,700,988,339,941,937,347,
405,124,694,022,480,667,539,326,027,977,382,546,488,359,897,779,552,532,952,
982,044,209,139,727,925,074,502,192,757,465,524,203,223,388,143,731,123,196,
865,209,578,105,786,570,955,018,160,799,136,522,624,433,012,697,540,482,170,
867,925,502,693,665,143,388,354,258,787,830,314,651,184,410,052,956,769,722,
788,087,143,471,863,596,970,931,375,090,857,499,983,134,279,506,102,170,717,
908,519,549,915,849,893,278,717,742,419,374,844,868,450,697,087,136,367,969,
283,757,348,204,986,901,080,899,933,193,923,318,379,580,675,978,109,854,292,
197,863,306,219,151,276,731,089,655,939,195,831,898,599,429,719,238,319,616,
888,202,145,891,464,400,786,226,758,821,384,539,527,796,202,557,501,900,056,
647,151,843,534,961,025,718,522,694,909,675,611,718,287,364,195,917,923,884,
078,688,140,603,760,164,237,500,580,499,964,283,219,608,701,936,568,217,316,
648,414,569,389,600,149,525,442,162,017,802,129,914,057,149,547,761,554,988,
505,526,360,299,861,651,864,505,300,660,424,546,603,253,977,344,882,908,920,
822,157,199,257,797,143,029,698,750,339,840,159,131,030,590,600,761,594,914,
075,484,968,189,666,757,501,815,649,556,025,916,294,677,191,031,215,768,592,
362,464,063,271,020,081,147,732,104,850,524,655,687,159,651,112,714,718,319,
298,131,790,636,095,042,308,605,574,183,208,683,449,458,072,830,874,418,748,
201,744,528,759,367,793,329,041,359,471,748,348,522,599,556,335,824,640,656,
177,967,965,582,838,161,925,012,398,615,575,147,135,910,974,947,634,240,196,
637,676,498,901,424,124,775,947,765,522,427,025,848,194,585,997,047,735,886,
684,507,052,141,976,591,077,092,775,352,401,167,230,300,427,256,872,480,329,
632,015,416,810,066,519,011,710,395,555,768,937,724,498,414,311,368,578,515,
351,430,767,900,961,670,273,839,522,745,016,738,584,454,710,774,662,615,691,
115,651,985,779,725,393,924,214,389,323,696,687,838,054,589,914,672,182,079,
376,545,644,109,722,557,733,774,943,070,681,206,523,361,546,098,540,260,687,
926,255,175,965,485,469,446,862,349,377,695,346,910,989,357,234,970,517,869,
626,888,489,638,654,142,312,224,173,291,833,662,931,736,072,833,761,148,453,
705,714,344,610,241,754,850,879,140,296,097,866,920,378,319,345,541,155,805,
635,316,062,072,925,486,037,720,380,887,470,080,037,948,162,996,520,917,842,
606,211,791,660,361,019,618,232,583,375,394,862,597,033,184,536,914,322,762,
570,439,064,846,460,701,210,065,942,277,272,502,167,359,506,365,428,152,312,
042,367,701,885,447,510,371,267,086,224,719,045,051,140,039,559,050,997,912,
896,984,661,282,739,348,042,042,531,123,953,460,616,728,903,522,392,283,623,
164,365,422,968,891,648,674,482,421,164,735,489,313,043,960,126,694,456,652,
813,289,109,056,067,767,004,794,694,577,643,593,986,498,724,516,904,908,639,
828,400,023,772,952,240,038,377,034,313,999,687,370,813,404,593,879,600,045,
168,962,990,673,795,201,114,520,123,169,459,323,375,020,440,285,976,700,176,
544,169,544,007,476,896,036,908,624,031,439,123,483,559,184,489,863,559,807,
647,131,587,934,979,313,359,874,550,719,320,072,486,978,786,853,723,323,138,
291,028,553,532,162,760,716,744,466,709,357,339,022,919,998,240,902,210,287,
443,239,787,246,805,946,779,683,633,597,359,349,336,787,122,256,633,084,569,
544,925,913,570,498,543,792,069,624,768,817,572,084,246,825,580,491,364,552,
824,770,354,798,369,212,704,068,341,088,366,518,634,475,115,262,271,581,280,
860,968,963,310,781,574,779,315,632,986,462,909,298,249,702,473,704,816,830,
461,777,137,905,351,898,674,365,022,329,381,727,203,423,694,715,950,959,639,
329,454,107,215,437,021,101,933,638,652,778,291,175,016,614,914,464,168,181,
902,003,295,178,984,754,076,697,767,283,735,037,050,969,244,418,786,019,531,
437,641,694,656,878,990,418,073,147,171,570,888,641,929,884,221,816,510,606,
713,783,448,330,667,708,913,420,801,766,837,232,655,357,285,991,050,584,624,
338,456,203,652,930,530,151,082,188,704,633,720,753,999,358,291,798,547,801,
188,391,440,966,629,958,403,526,030,040,915,214,152,606,635,605,491,941,922,
672,596,956,188,030,986,799,295,276,188,416,833,828,141,517,902,678,009,990,
726,030,102,636,341,490,616,884,337,498,051,381,629,411,780,164,010,843,406,
786,380,554,849,505,079,447,213,938,895,711,057,517,706,565,821,569,828,601,
682,670,094,285,984,424,338,962,052,737,942,307,058,705,912,832,408,233,868,
082,967,284,009,630,104,748,298,438,012,157,368,470,415,196,640,252,592,879,
608,147,671,672,450,359,696,792,009,905,010,306,348,585,732,175,694,195,725,
163,887,279,539,507,676,547,337,131,245,757,664,570,047,251,713,889,515,526,
044,598,560,805,531,864,508,488,966,543,085,240,454,135,912,512,244,848,621,
544,167,565,935,284,502,129,528,629,456,335,561,110,474,301,426,953,951,617,
793,169,125,675,151,579,508,883,028,421,146,910,685,884,824,337,674,484,692,
011,492,723,113,152,327,805,686,302,074,462,140,937,894,955,946,014,696,629,
678,433,497,525,100,197,465,691,793,590,060,699,503,624,049,074,246,011,893,
992,083,193,915,936,549,335,438,140,842,667,419,524,520,534,439,744,039,458,
132,934,505,365,848,237,426,701,154,628,561,978,033,236,667,950,106,879,360,
093,604,217,898,556,824,108,369,293,695,940,053,087,723,979,663,145,850,191,
109,524,954,924,873,612,689,873,685,138,210,155,922,465,934,954,012,704,353,
233,851,454,403,511,265,094,325,716,462,723,493,398,699,057,797,329,173,469,
432,047,145,754,347,189,923,137,577,157,605,273,785,532,014,312,985,929,129,
297,782,632,966,108,859,507,994,441,190,164,222,503,513,740,820,697,206,356,
642,994,872,895,656,104,897,019,109,139,799,026,764,564,129,247,643,624,856,
625,248,966,206,691,725,203,657,636,356,777,354,626,244,750,115,476,720,021,
711,384,953,980,729,172,645,794,627,830,696,723,435,559,654,651,353,535,578,
627,357,062,353,370,626,833,509,239,489,694,425,806,064,157,464,581,140,436,
006,747,039,962,050,132,134,100,038,496,662,458,462,034,365,699,182,261,565,
784,268,765,163,610,890,898,778,931,443,608,034,668,098,208,229,451,295,468,
749,762,537,673,248,353,061,440,537,963,127,217,613,073,041,585,835,495,552,
984,812,010,463,292,560,588,937,296,040,165,318,903,593,502,905,720,998,620,
846,820,685,036,370,402,054,351,131,226,307,044,936,343,699,289,826,298,877,
006,410,393,161,949,643,919,761,189,086,398,976,388,915,366,463,449,275,905,
933,245,783,847,267,590,627,528,274,770,199,673,871,656,516,720,839,606,633,
493,920,603,820,884,155,223,535,874,572,699,104,928,117,615,360,397,543,244,
341,075,397,799,065,546,328,185,008,252,457,250,973,231,945,656,457,282,592,
140,113,330,970,988,227,066,136,631,272,328,735,650,983,196,445,464,898,454,
684,739,537,376,567,836,513,960,709,323,422,776,642,722,659,856,819,520,688,
086,903,090,844,343,584,542,720,519,479,237,044,992,048,509,192,376,842,191,
530,878,879,541,423,835,362,627,760,749,466,704,152,314,319,669,977,024,366,
465,685,989,546,606,569,859,108,724,441,829,134,850,689,634,971,146,100,612,
115,249,390,164,026,422,767,862,695,588,623,697,573,191,607,874,841,039,912,
926,589,317,774,302,820,531,090,730,798,967,248,433,792,834,315,951,511,541,
604,147,700,143,145,385,714,527,211,431,695,437,527,911,232,838,220,819,900,
462,210,865,028,520,550,321,586,504,016,369,189,680,887,473,339,392,105,743,
469,521,822,075,711,425,247,311,731,824,830,348,322,628,964,865,484,768,040,
509,785,810,736,728,735,942,606,145,867,695,197,346,262,894,695,908,980,871,
820,387,903,226,553,741,210,616,740,120,478,268,533,128,727,980,328,394,723,
604,217,346,844,662,191,692,599,992,085,128,603,206,187,573,276,807,114,485,
960,463,829,508,455,536,415,906,049,148,684,958,595,611,279,130,479,945,132,
696,992,232,224,258,496,401,578,207,369,021,504,721,287,099,691,612,107,132,
553,156,979,925,955,026,215,354,189,975,014,386,201,570,139,275,868,347,584,
466,393,976,091,460,754,647,213,220,734,043,355,570,342,172,810,445,123,577,
170,384,095,892,871,026,780,476,443,536,761,036,269,042,171,358,460,052,149,
051,212,391,713,328,613,368,874,764,871,390,527,880,931,981,258,555,985,313,
869,795,853,607,045,429,321,699,826,721,136,305,372,231,334,783,558,130,728,
433,467,762,163,200,856,157,605,952,623,925,451,642,262,469,977,244,929,113,
590,238,589,003,320,795,724,255,336,394,379,145,401,941,994,161,810,064,902,
174,252,880,785,637,254,140,916,595,217,993,193,419,854,156,985,313,894,506,
580,039,184,944,304,987,135,868,238,626,045,431,553,903,591,445,351,962,337,
372,808,883,640,375,037,927,342,599,959,049,802,928,618,827,565,826,109,099,
346,017,796,631,403,847,407,762,652,599,063,834,548,276,471,099,189,998,804,
362,392,070,908,840,141,456,588,264,334,214,075,801,131,892,378,384,829,242,
813,872,532,526,895,407,459,917,668,450,126,413,799,779,189,513,470,533,008,
907,677,720,171,168,912,619,243,854,545,986,280,040,153,804,272,120,341,681,
335,328,769,607,919,374,312,668,947,789,377,886,464,528,860,559,680,682,801,
900,877,251,539,544,944,406,810,751,007,961,814,862,622,794,962,133,414,483,
560,793,295,402,778,517,349,461,839,362,231,557,744,232,602,218,540,801,924,
370,633,723,442,081,478,428,491,534,390,859,422,845,550,366,177,743,275,486,
931,670,267,453,028,674,426,411,907,243,708,129,816,033,373,856,718,720,358,
604,398,987,312,761,220,210,926,629,882,372,139,614,889,801,756,972,889,516,
423,750,023,045,884,618,633,989,620,516,798,957,154,680,835,245,348,641,612,
129,529,517,600,356,976,795,326,923,530,172,743,936,641,698,321,123,695,697,
224,329,043,551,686,737,825,818,693,952,707,504,853,674,034,228,238,109,532,
510,007,342,616,037,791,667,736,372,543,951,807,546,658,250,439,034,058,303,
999,112,237,041,099,494,135,017,276,493,470,398,435,814,980,645,256,916,187,
245,420,072,862,456,549,192,787,335,845,205,258,240,464,517,156,446,632,779,
034,468,162,081,476,457,901,815,183,881,046,144,987,014,163,744,849,907,939,
981,381,772,541,098,315,892,294,919,698,265,523,973,405,508,512,500,039,706,
752,812,093,869,013,368,966,901,369,653,751,412,486,515,542,727,410,348,157,
037,504,247,367,352,680,742,015,525,871,193,515,538,940,299,298,612,680,396,
415,430,210,447,607,908,317,016,207,595,212,595,226,743,478,776,982,868,378,
695,890,924,455,664,979,324,126,819,394,176,759,066,093,900,033,376,887,833,
755,735,106,260,222,815,705,866,477,103,251,175,950,124,830,599,074,010,980,
922,118,861,126,869,419,409,955,568,385,123,017,396,355,082,764,563,427,316,
351,102,840,756,792,918,576,881,491,395,243,783,428,558,745,026,404,260,397,
045,374,446,757,330,552,432,925,558,188,320,123,280,607,217,889,985,239,256,
175,805,071,431,290,815,519,984,199,925,722,328,279,993,339,808,435,273,177,
820,855,507,642,349,669,112,700,103,065,142,667,023,265,160,215,559,955,378,
827,315,173,004,922,203,336,520,432,755,529,734,153,165,191,612,013,293,353,
629,357,401,842,071,464,285,281,377,085,784,563,883,483,327,507,163,882,940,
407,437,487,520,147,060,024,577,709,721,189,032,124,060,447,654,843,941,260,
106,304,768,391,925,913,124,036,813,768,403,494,335,575,148,678,858,726,287,
870,228,875,594,878,958,319,358,437,724,789,921,615,267,007,818,907,240,071,
261,741,805,022,325,464,789,449,054,665,879,899,128,612,956,510,751,619,637,
383,553,564,521,140,348,977,447,517,188,309,638,073,129,337,094,059,742,559,
596,809,556,295,749,433,769,680,971,839,610,070,316,549,918,405,253,061,546,
204,823,445,746,051,264,793,350,449,738,692,311,550,964,171,367,514,338,334,
966,718,386,319,399,616,677,924,235,102,786,114,623,385,348,506,968,704,944,
238,924,381,690,768,124,097,800,807,706,220,040,579,041,226,489,342,756,356,
240,380,716,798,669,807,842,164,344,381,839,109,329,048,068,527,235,060,390,
388,668,169,902,254,211,094,712,731,182,775,865,603,670,217,577,820,643,336,
139,862,590,001,441,490,468,063,775,534,180,504,413,062,882,455,416,318,970,
146,793,091,250,174,566,150,815,728,692,626,371,596,686,716,129,988,755,254,
081,929,978,697,601,891,195,937,775,002,856,407,995,915,742,305,200,181,460,
801,698,431,179,335,391,917,810,205,371,720,410,189,607,562,738,728,455,812,
215,339,000,006,617,375,493,841,083,298,632,708,519,045,787,156,388,736,329,
244,136,010,466,985,647,995,471,922,681,813,302,257,415,030,112,304,644,650,
719,988,070,208,017,391,436,510,215,057,089,861,464,055,467,894,495,047,285,
191,730,805,388,645,884,885,844,434,177,341,132,724,628,524,080,445,480,555,
628,975,951,933,329,194,752,751,386,148,845,459,294,866,972,616,517,149,929,
449,311,014,567,051,872,528,754,999,976,835,571,276,992,169,687,852,132,554,
701,791,691,684,221,762,644,892,627,020,471,274,757,933,897,560,917,257,748,
548,057,559,800,058,090,618,732,662,800,801,408,410,287,473,286,311,636,153,
419,050,379,733,349,894,796,768,997,611,707,603,166,008,424,589,639,895,323,
023,140,326,884,149,993,398,506,814,031,112,024,075,301,436,826,231,565,465,
532,885,576,988,948,076,080,824,055,362,457,087,205,863,931,522,265,776,243,
712,283,327,326,972,862,080,767,212,051,888,994,713,393,659,975,266,591,890,
362,784,235,839,730,619,719,462,748,256,231,728,344,770,729,709,325,093,455,
764,528,030,860,719,991,759,821,189,004,220,013,868,236,031,643,272,376,545,
709,112,341,770,581,829,362,241,529,129,253,577,601,085,243,856,139,718,864,
449,987,203,857,568,629,929,115,023,408,458,788,807,214,856,963,848,548,945,
221,811,382,804,405,220,932,072,359,381,523,434,209,181,542,481,705,409,947,
823,950,051,477,057,646,281,918,111,532,436,895,554,230,052,611,874,318,768,
770,958,918,651,425,187,668,604,136,475,318,252,242,995,420,095,058,101,521,
511,988,370,835,285,740,533,214,408,430,025,209,416,493,591,782,036,361,977,
754,482,828,014,851,809,576,812,018,952,351,214,590,906,284,149,844,321,162,
880,119,545,450,621,821,705,863,714,196,054,611,152,238,770,491,832,029,010,
845,709,655,628,378,336,512,657,996,843,973,843,966,940,651,432,084,600,319,
232,511,396,839,278,877,662,948,198,860,717,092,568,628,226,124,161,265,416,
339,765,075,222,619,239,225,932,420,816,534,081,272,897,040,838,064,779,708,
250,895,032,487,490,314,357,857,853,838,462,781,248,671,922,215,248,192,408,
628,560,143,140,729,099,771,827,583,663,178,352,965,066,554,925,103,568,234,
896,915,690,146,305,362,061,476,448,389,002,827,156,666,479,538,435,768,866,
776,780,227,624,468,692,178,719,743,738,046,848,093,972,768,323,104,281,342,
742,948,454,980,849,333,153,012,403,150,388,171,580,478,475,295,568,510,625,
078,186,429,318,854,709,546,268,692,527,638,493,194,854,189,403,605,942,438,
583,659,820,595,142,784,484,918,356,008,025,025,931,623,920,184,329,276,985,
222,167,095,745,252,426,631,300,815,633,667,845,022,101,468,748,034,056,924,
056,236,864,608,359,660,596,361,423,826,305,333,049,148,430,167,423,361,929,
920,142,031,586,549,877,705,367,875,930,115,354,584,700,972,717,167,188,700,
106,014,753,502,743,472,220,987,375,806,505,975,834,655,542,872,924,504,181,
459,404,511,156,299,990,081,379,940,711,513,563,371,043,998,177,458,077,069,
247,088,592,553,920,114,321,062,870,298,611,784,506,349,180,558,095,242,782,
542,899,090,248,118,093,014,332,772,101,789,962,528,514,803,989,578,110,687,
205,889,552,928,843,129,587,400,765,451,617,274,772,916,524,871,961,120,268,
130,066,830,271,848,743,260,726,090,329,518,635,969,866,017,076,274,793,137,
854,782,716,808,093,539,301,755,339,603,565,702,764,525,207,206,343,279,492,
965,425,015,191,316,685,987,014,792,806,912,941,189,262,243,372,660,475,283,
387,738,257,225,211,339,679,702,755,732,139,837,757,723,061,096,089,444,760,
495,079,240,576,576,089,431,618,370,088,660,144,401,244,779,606,004,568,631,
939,352,372,343,409,434,740,670,405,578,935,203,663,362,355,939,595,021,662,
203,852,875,166,070,591,519,948,579,465,904,125,823,971,195,748,381,667,378,
714,369,598,008,182,042,714,613,585,292,421,134,786,855,649,538,310,665,712,
090,260,365,699,204,484,206,571,791,894,000,593,178,124,827,757,619,944,483,
131,729,872,631,484,603,779,307,542,887,199,644,128,390,889,365,277,099,011,
221,970,857,032,203,424,750,976,522,379,438,713,299,755,123,020,920,105,826,
046,635,199,249,006,197,038,891,037,174,369,744,297,000,886,663,716,539,390,
777,517,147,138,713,053,058,653,699,289,182,684,483,955,516,941,216,626,831,
986,245,113,182,946,810,905,574,212,810,270,284,572,455,557,518,790,503,307,
291,340,925,057,818,880,186,946,342,140,678,208,081,120,362,054,656,875,829,
708,962,119,643,670,549,326,685,529,674,946,825,607,579,546,638,744,190,383,
664,932,807,586,433,635,781,144,633,882,299,539,474,686,026,167,232,560,278,
718,955,049,456,366,015,235,923,885,866,831,128,085,882,915,397,175,352,777,
082,350,096,666,316,539,912,189,018,324,887,962,395,337,037,923,058,013,378,
751,168,714,686,259,361,707,795,033,160,577,240,324,824,880,343,388,624,526,
318,548,637,301,264,007,532,050,779,076,444,468,273,944,196,647,162,968,481,
565,069,798,842,972,197,368,217,236,973,565,020,865,521,527,148,619,593,937,
742,050,498,124,610,991,568,144,895,324,089,275,069,902,120,477,447,285,246,
545,654,867,242,997,500,273,526,064,569,585,261,804,470,269,744,668,905,351,
010,447,373,860,651,573,105,421,513,900,528,594,850,828,643,811,301,700,380,
932,953,180,017,596,831,342,969,562,191,753,260,439,505,407,069,462,995,469,
534,814,398,841,931,731,348,267,678,219,296,623,787,981,330,003,764,566,834,
434,298,467,585,231,229,276,873,940,147,810,839,659,698,001,067,148,946,506,
014,639,022,203,947,819,206,246,921,617,077,283,549,514,485,667,232,655,042,
845,061,508,284,133,890,085,236,310,958,668,063,241,941,034,964,156,680,620,
661,538,940,188,602,416,813,209,440,726,441,614,689,397,761,829,763,146,164,
472,506,966,791,643,200,336,165,432,951,048,153,954,844,786,335,319,536,344,
630,143,552,548,066,262,872,917,694,921,582,825,815,845,759,198,810,843,930,
216,478,853,160,160,679,816,009,671,095,829,958,055,760,981,301,991,100,906,
705,810,092,585,362,234,919,659,601,575,276,271,408,651,265,647,193,214,802,
489,560,369,005,535,740,865,626,706,732,581,864,217,703,475,528,174,414,751,
501,582,367,548,313,011,374,086,301,789,864,409,563,298,255,463,899,743,725,
238,716,516,718,927,859,973,372,714,846,986,875,425,479,287,744,182,136,869,
251,918,231,125,051,102,328,332,686,331,371,535,480,934,847,430,763,187,014,
703,379,641,156,375,221,463,552,963,604,033,702,784,901,170,255,607,777,404,
375,010,736,450,248,952,397,232,256,402,900,457,949,266,433,818,560,909,817,
135,625,550,562,063,102,609,578,252,647,812,689,301,183,777,006,207,280,543,
395,287,621,040,599,460,059,375,840,439,144,401,696,229,927,133,524,708,344,
291,111,668,823,900,367,140,670,098,984,067,848,334,507,711,884,541,484,532,
384,100,168,648,634,274,901,427,433,873,673,636,930,976,421,284,917,757,426,
617,757,003,183,334,457,176,492,853,616,103,965,521,557,316,976,586,384,404,
250,123,919,840,609,288,789,319,089,181,270,290,911,206,234,840,367,759,354,
248,510,258,842,086,391,397,033,838,578,684,138,642,255,072,992,302,173,223,
698,032,389,269,742,882,859,031,762,536,045,284,233,440,159,726,885,952,768,
747,737,123,174,414,160,554,517,304,772,490,260,961,864,241,335,841,932,844,
038,597,767,279,841,625,603,455,757,168,604,035,128,123,751,068,866,538,264,
923,377,293,639,734,094,766,103,240,732,173,840,628,071,377,966,119,877,413,
587,998,702,624,175,007,124,719,548,952,814,505,051,682,645,230,477,600,054,
088,937,437,134,593,955,923,313,407,324,377,508,060,346,912,014,358,086,671,
674,909,275,440,653,583,798,886,663,421,895,258,117,466,293,698,282,117,598,
301,829,889,673,292,423,165,046,258,832,426,801,992,228,479,759,750,621,910,
716,052,644,268,834,130,342,525,093,453,675,794,088,475,002,535,342,872,325,
225,765,339,593,513,320,481,444,534,355,507,560,592,029,886,934,956,405,410,
837,936,747,694,987,780,947,503,693,629,798,197,291,985,575,746,729,821,044,
692,489,240,623,761,008,614,651,531,535,290,230,121,865,305,928,934,234,630,
733,789,463,509,357,194,773,670,641,304,553,245,671,730,564,278,120,488,536,
469,342,179,327,238,064,155,413,322,695,408,759,780,608,537,937,447,776,820,
092,940,908,777,452,515,059,414,160,004,792,263,079,140,726,912,883,757,541,
308,570,237,464,285,623,673,551,670,892,232,189,646,324,894,141,764,840,909,
546,963,768,773,872,445,678,564,552,068,397,879,151,922,020,272,213,151,952,
718,660,917,675,167,648,147,329,790,474,788,267,460,775,067,311,695,665,803,
758,141,981,603,031,117,012,072,865,618,138,113,803,046,836,722,294,500,388,
241,734,357,250,244,155,980,698,253,577,049,391,596,515,186,295,392,436,443,
492,411,531,413,851,698,510,453,993,217,089,962,162,195,822,794,750,404,821,
815,291,406,856,102,193,847,653,488,347,768,664,019,263,502,820,390,563,165,
481,739,362,276,703,035,539,162,833,036,045,632,936,897,401,582,912,961,897,
380,073,192,942,806,229,044,641,564,250,056,451,862,814,689,240,418,921,988,
074,558,585,723,363,973,965,622,038,157,795,861,178,952,423,100,211,173,161,
976,156,494,802,998,437,580,282,878,804,732,715,928,341,673,986,606,566,710,
192,030,264,404,775,806,921,848,811,651,386,174,064,818,641,601,986,808,867,
208,392,475,660,099,135,573,002,577,625,186,032,955,454,957,593,596,613,784,
262,529,890,077,918,367,285,594,370,206,097,267,560,862,533,161,793,829,925,
526,265,422,826,125,377,070,978,324,270,822,114,085,975,715,384,672,704,777,
756,281,693,277,679,138,462,252,580,961,064,200,492,124,310,869,250,301,129,
452,935,948,973,091,539,899,155,654,502,795,562,535,848,919,826,000,094,841,
106,535,209,138,176,923,471,521,149,967,381,043,321,236,725,245,930,721,494,
582,915,480,614,795,185,987,318,081,867,784,125,637,140,026,142,624,739,449,
971,117,063,025,736,070,132,210,226,767,441,829,974,183,180,114,943,243,099,
027,795,679,133,391,522,088,085,151,101,240,018,631,520,166,020,719,472,670,
787,562,747,040,727,499,428,742,939,316,066,126,923,740,913,167,383,043,604,
883,723,177,673,033,489,540,460,683,990,979,963,037,118,814,013,458,675,108,
384,581,839,811,689,109,746,610,599,918,987,669,644,414,707,725,753,932,155,
532,045,863,294,401,613,310,958,645,288,324,131,329,166,919,597,948,775,619,
913,767,153,928,010,590,951,904,180,127,365,268,618,856,333,956,667,906,840,
449,871,605,768,650,028,360,895,560,726,321,955,675,831,869,764,782,261,739,
242,524,584,932,731,653,874,842,622,184,726,289,741,851,901,219,290,158,260,
322,646,959,610,231,013,993,761,890,222,715,219,881,504,137,446,931,123,164,
175,876,110,643,261,393,999,703,556,816,061,138,747,496,771,333,775,200,238,
506,368,992,538,259,720,540,711,051,598,037,917,356,726,947,422,419,759,375,
602,413,274,367,045,103,479,117,560,608,099,975,160,516,958,577,697,390,793,
140,529,217,442,545,393,416,764,069,125,834,094,383,035,059,793,593,380,555,
429,588,545,381,597,278,379,628,857,598,747,831,847,726,492,381,612,632,533,
190,142,753,203,135,269,600,748,897,287,360,489,344,043,978,913,023,626,535,
756,094,904,775,507,096,448,893,622,695,818,150,974,228,938,795,937,410,939,
811,546,026,743,074,180,817,569,525,807,680,068,857,629,373,309,507,793,130,
895,297,291,249,075,973,914,575,313,553,285,018,014,287,023,854,298,601,288,
548,482,575,009,555,266,652,320,677,952,353,020,740,535,128,878,667,154,276,
726,882,776,551,058,669,141,605,758,753,129,268,935,794,707,535,853,567,688,
615,155,996,472,075,037,173,910,440,937,590,633,264,117,033,616,827,720,429,
395,194,717,613,625,301,021,831,202,438,628,719,897,233,999,336,110,661,397,
913,847,534,746,930,453,960,078,116,295,483,809,742,938,859,281,881,928,333,
163,955,031,344,026,951,613,911,476,711,198,147,012,524,482,525,440,640,700,
894,665,974,432,264,124,579,572,590,926,091,422,169,437,847,336,522,547,322,
592,189,863,700,746,706,592,834,363,028,393,587,797,981,077,768,555,812,139,
242,608,445,748,613,811,672,920,706,280,881,178,564,368,019,991,832,961,229,
093,792,428,886,694,961,021,026,034,864,521,184,355,815,742,563,907,608,437,
363,340,292,637,710,769,071,638,171,368,400,779,299,243,602,962,911,303,788,
697,804,726,276,880,037,350,135,979,102,977,163,751,912,198,593,796,477,941,
586,856,465,251,152,704,816,390,794,121,846,533,720,648,093,014,640,544,002,
062,631,272,172,699,394,359,991,289,756,658,700,045,718,666,944,277,627,220,
717,722,436,444,540,705,857,193,791,968,560,574,892,385,701,723,323,393,847,
110,721,960,935,691,347,273,395,229,240,549,450,966,288,552,410,399,308,831,
279,304,061,918,208,795,862,373,628,014,261,806,234,971,102,756,150,447,785,
080,272,875,393,129,262,078,673,716,427,782,072,198,264,060,977,717,096,975,
961,344,475,925,109,018,518,989,412,445,107,054,071,839,712,334,219,218,941,
355,099,038,180,001,265,044,881,903,251,448,041,933,500,921,308,047,148,424,
081,732,305,298,237,563,711,217,176,157,663,789,178,978,048,565,420,977,413,
644,906,103,439,280,766,551,453,144,523,931,237,767,100,053,604,426,596,998,
240,661,379,048,859,731,092,036,734,097,591,931,063,917,428,479,125,031,898,
802,971,089,111,001,641,052,934,547,712,551,335,379,329,352,781,503,174,736,
814,516,895,232,976,640,768,082,307,702,414,823,877,745,959,489,734,686,790,
781,827,567,676,619,351,147,380,629,415,986,602,382,546,391,635,636,028,567,
309,603,260,795,763,797,889,942,814,712,995,070,787,230,657,421,435,330,239,
013,757,087,769,649,601,056,455,206,969,387,087,531,659,488,659,919,410,889,
715,980,837,893,402,537,252,307,209,155,570,879,992,834,318,620,509,343,251,
872,749,091,217,813,081,267,045,911,469,318,423,438,811,854,169,442,572,649,
139,504,268,405,929,083,885,284,280,765,589,058,019,788,300,635,473,583,884,
806,788,790,843,551,520,928,204,302,372,097,324,008,324,631,930,358,853,752,
590,709,658,327,125,669,723,165,917,037,564,170,954,806,387,348,119,627,890,
954,169,720,203,327,735,350,983,976,823,033,467,412,382,428,402,582,546,171,
157,946,126,212,511,761,118,141,944,633,126,676,880,496,868,977,052,609,660,
567,993,386,899,947,207,696,882,019,753,750,420,568,913,970,418,642,356,947,
103,637,335,326,683,369,171,545,487,955,768,819,935,083,895,561,117,730,006,
800,831,694,456,777,497,854,676,677,298,204,106,672,459,359,015,509,948,477,
557,978,958,988,679,312,502,909,416,337,381,083,057,006,174,764,940,570,984,
534,842,265,492,179,312,218,527,555,532,332,321,820,547,710,492,367,022,485,
555,445,726,256,770,341,708,912,900,256,858,135,931,299,048,641,420,769,499,
362,281,630,836,662,828,776,598,973,531,884,561,430,535,341,614,133,355,512,
449,780,255,475,198,825,742,894,107,718,403,123,182,199,742,825,777,679,281,
691,687,560,601,978,242,563,590,749,434,422,689,912,858,295,992,326,399,621,
688,543,860,703,092,038,892,853,845,694,311,154,660,529,689,975,299,083,807,
104,701,436,065,125,681,565,202,092,946,944,148,736,234,663,230,082,402,459,
753,996,583,047,562,229,141,142,341,184,231,410,372,720,392,209,263,347,015,
210,650,449,406,968,169,041,209,842,235,850,680,928,038,157,863,319,648,593,
245,320,726,869,940,666,577,870,304,358,833,335,041,247,738,308,487,178,358,
854,370,542,929,024,685,062,611,975,468,860,515,087,763,353,180,337,982,060,
572,273,030,541,515,584,419,589,216,468,578,119,375,610,947,607,030,458,562,
962,214,774,195,686,807,461,033,502,513,904,003,410,719,710,288,289,508,381,
462,391,555,160,117,198,012,025,899,843,066,674,982,423,860,780,900,205,631,
787,531,874,439,765,316,042,405,940,995,542,268,007,290,360,825,917,612,102,
249,421,483,468,924,884,884,758,879,758,527,053,855,744,430,884,857,758,976,
456,159,848,465,328,558,888,683,274,928,069,445,024,817,054,737,846,718,604,
098,954,934,849,379,545,843,653,163,739,644,261,218,670,012,334,245,915,628,
327,058,024,632,169,581,739,705,960,294,273,571,584,375,707,863,015,072,975,
547,933,145,964,007,693,156,068,214,020,020,038,440,900,296,485,287,644,883,
652,272,855,540,931,806,768,794,729,990,079,047,339,875,689,688,016,729,201,
959,098,334,860,361,991,304,702,117,831,573,495,420,220,327,775,641,122,561,
680,079,408,491,916,065,324,510,120,304,239,871,289,543,405,770,410,676,918,
904,189,479,768,271,478,309,431,127,917,408,233,948,749,073,444,170,803,763,
740,431,498,819,930,018,844,490,281,879,718,637,873,726,957,824,659,495,851,
287,126,791,106,972,777,756,365,471,446,798,589,267,178,200,920,630,417,917,
140,124,974,658,738,849,881,913,957,940,334,857,614,656,506,845,713,281,377,
181,026,885,354,117,950,776,577,383,142,253,290,045,521,210,297,642,789,512,
718,119,992,934,078,984,280,126,269,624,345,180,657,955,404,930,900,203,636,
148,982,294,575,311,828,632,980,148,429,897,585,262,919,986,330,571,016,070,
513,958,056,390,309,950,843,546,884,551,366,282,704,703,976,541,312,840,350,
038,520,861,415,704,452,474,551,403,655,676,995,757,156,767,381,938,526,996,
440,900,251,055,411,161,527,662,018,783,559,052,143,976,450,184,439,419,245,
376,416,859,398,553,782,568,406,509,899,424,551,495,737,622,881,086,682,971,
258,727,153,353,941,187,379,501,470,850,467,133,912,472,544,353,674,828,263,
647,681,663,000,301,285,013,105,827,560,990,492,663,392,317,795,218,322,527,
748,351,118,105,029,156,220,236,782,167,592,039,434,501,080,836,774,623,736,
380,795,739,131,877,669,891,404,763,862,028,893,123,580,335,889,932,611,613,
594,127,932,368,314,768,946,684,782,414,778,844,190,385,238,906,485,619,180,
420,610,122,616,742,019,182,197,865,071,936,639,827,844,817,513,986,042,361,
000,343,091,717,203,363,752,816,070,302,785,719,500,826,045,264,752,111,425,
407,162,421,561,731,547,120,881,837,678,013,714,639,528,022,828,433,459,270,
133,852,174,038,368,349,995,075,628,920,859,595,373,979,484,088,728,059,127,
107,064,884,333,481,078,133,258,985,983,770,739,884,513,069,416,176,718,375,
662,298,828,811,754,496,179,448,603,632,683,565,399,946,953,387,689,635,778,
502,745,959,982,043,757,398,281,684,337,664,765,525,803,135,243,555,320,426,
369,772,404,130,188,722,731,706,626,350,411,824,892,622,001,696,446,835,104,
023,719,326,302,588,915,864,498,092,792,368,335,556,509,832,016,146,763,947,
632,335,926,070,612,768,795,874,859,784,022,276,982,020,042,031,291,676,304,
140,038,175,801,103,325,426,195,311,013,576,846,484,645,426,620,425,283,718,
920,800,048,119,834,206,264,812,510,150,823,215,955,295,410,928,246,734,855,
149,899,983,137,222,862,774,572,089,285,831,820,540,570,307,149,241,603,075,
304,485,386,797,513,618,072,954,970,831,314,953,898,119,463,314,765,922,691,
136,412,267,018,247,724,306,014,611,955,467,640,059,920,901,527,193,634,407,
415,501,142,089,036,768,272,177,215,581,209,052,751,277,313,710,808,393,165,
991,914,222,755,584,228,652,444,673,872,793,066,290,236,428,148,117,805,570,
577,132,980,430,912,597,664,281,632,228,236,501,292,367,297,469,697,886,320,
079,823,813,331,239,201,091,773,356,654,316,815,011,371,322,383,924,620,331,
488,623,093,287,269,222,296,564,191,451,682,226,398,123,280,154,390,879,582,
311,183,743,767,437,813,239,414,551,875,916,171,236,639,935,572,649,109,571,
565,992,685,536,906,164,471,212,008,393,075,602,880,503,407,113,835,513,119,
476,547,567,039,396,312,335,363,299,470,912,463,016,957,303,047,322,781,022,
507,782,463,816,783,801,217,094,030,356,464,991,835,019,576,383,771,865,156,
964,173,494,067,265,174,543,423,576,427,386,995,560,349,990,940,938,319,905,
719,761,166,242,584,676,020,373,311,060,774,257,926,483,068,439,939,076,930,
630,105,586,562,853,834,322,289,622,988,424,354,069,448,855,079,730,603,621,
999,081,000,412,147,994,004,214,413,443,030,072,253,057,180,825,510,335,847,
449,968,059,775,809,483,534,410,256,651,851,020,686,806,405,164,675,931,613,
745,434,209,866,208,831,233,371,825,118,254,831,127,875,344,248,902,138,624,
386,029,028,201,588,309,565,227,892,295,423,471,157,439,858,835,602,788,137,
029,264,436,231,916,172,556,475,754,448,663,214,189,488,326,478,368,739,948,
981,031,010,486,524,447,656,032,758,800,824,442,477,285,511,954,636,181,548,
040,488,262,537,012,062,126,085,452,916,833,562,086,314,065,233,046,711,309,
413,302,544,106,187,335,050,495,113,103,353,691,145,648,249,106,648,242,739,
093,475,942,771,348,444,826,373,282,130,462,108,652,365,071,959,105,593,775,
858,998,872,133,355,407,122,517,044,134,427,119,614,496,837,997,729,895,067,
984,247,666,879,930,267,614,743,713,493,398,462,989,023,596,807,100,174,078,
502,890,989,495,817,113,415,418,197,852,521,914,156,674,324,377,337,857,875,
658,304,990,885,899,597,746,803,603,237,754,591,094,988,534,754,766,586,857,
632,322,924,302,727,732,808,257,413,717,282,262,232,743,691,618,590,793,532,
492,115,776,320,309,582,401,584,612,919,970,850,806,065,681,553,564,942,069,
954,623,274,248,501,904,256,575,871,547,982,214,902,058,400,879,819,847,124,
749,574,144,367,300,894,339,250,410,949,473,239,396,437,547,700,995,348,038,
205,418,938,845,837,629,515,587,859,269,049,241,775,432,333,973,189,348,685,
104,841,554,375,350,070,344,011,188,583,618,401,936,117,804,595,796,531,960,
045,483,025,211,399,389,794,218,085,893,703,044,138,287,299,685,768,861,899,
214,884,760,840,432,695,396,339,984,984,720,499,062,043,063,927,838,819,456,
310,906,936,480,773,626,431,108,355,248,654,998,460,485,253,136,697,370,840,
428,736,874,803,509,920,565,132,930,322,469,528,848,804,611,892,246,054,163,
415,157,574,763,672,424,279,588,289,294,112,766,313,937,726,304,802,810,439,
040,433,250,983,669,166,171,440,362,154,270,709,975,999,754,253,482,654,219,
679,204,247,864,228,634,482,007,206,759,589,989,907,918,129,343,800,996,972,
225,599,522,710,458,700,313,985,539,381,320,261,615,570,848,572,749,502,868,
156,157,769,717,466,755,303,734,199,895,405,641,720,019,791,353,649,675,775,
436,397,520,819,102,185,066,202,850,961,244,908,106,250,618,026,744,588,518,
008,637,116,082,255,803,606,195,997,274,945,969,528,915,210,143,760,613,218,
980,005,102,717,899,043,455,691,011,435,644,814,781,483,235,371,921,307,944,
715,714,446,246,176,415,455,780,616,309,244,813,353,667,038,681,748,383,520,
430,577,270,679,648,107,300,452,770,921,056,035,774,098,242,438,820,894,758,
210,985,666,391,856,474,685,936,705,780,084,426,908,378,529,832,836,484,949,
228,180,171,887,989,747,774,105,958,553,078,530,397,626,869,467,041,419,842,
667,679,355,248,890,830,621,869,650,393,855,785,947,842,274,897,868,034,414,
002,691,023,563,376,396,591,707,931,764,406,606,986,149,163,784,476,876,878,
928,185,816,994,139,920,801,625,901,350,099,551,389,753,126,977,007,840,332,
170,661,814,406,994,091,560,109,079,208,908,745,601,082,552,191,613,462,930,
645,725,981,708,392,245,884,105,117,099,855,789,707,887,186,558,031,759,501,
421,400,346,212,650,800,707,664,386,212,801,276,047,953,106,935,036,569,755,
817,910,190,264,485,963,806,701,459,034,967,227,224,143,597,964,621,634,456,
924,802,004,415,136,106,701,530,829,834,114,038,438,373,105,759,659,228,756,
970,448,042,849,454,180,256,441,057,837,614,673,971,940,673,183,615,705,175,
506,139,482,825,477,281,418,356,726,722,867,198,408,806,264,983,754,620,419,
043,392,835,312,194,738,756,705,976,451,157,422,139,021,875,756,446,413,152,
480,267,485,705,386,619,031,011,386,252,916,746,892,526,730,630,196,720,465,
609,355,137,191,998,601,491,650,235,936,249,651,633,057,053,880,187,656,197,
379,457,057,999,864,122,181,047,328,308,718,188,747,972,143,925,287,911,259,
569,178,190,665,346,123,412,450,917,878,230,918,955,892,144,023,941,272,891,
617,571,283,832,944,227,274,581,302,369,343,081,886,535,723,844,404,890,775,
431,181,405,559,425,093,256,715,850,424,159,129,652,113,360,901,857,320,847,
755,244,214,127,858,863,116,128,083,857,284,392,852,644,937,224,807,799,652,
537,793,032,973,025,367,233,143,819,276,557,963,251,742,612,441,140,177,962,
630,971,221,738,237,128,395,104,505,214,824,468,601,849,683,109,670,503,500,
721,864,028,059,705,984,268,897,328,204,843,908,917,995,135,498,984,721,344,
931,963,906,120,946,561,034,650,874,539,378,727,608,909,684,413,551,509,813,
844,662,141,366,239,728,890,276,037,082,933,573,747,971,303,581,255,303,370,
861,902,515,426,323,891,798,095,177,463,383,298,198,491,251,432,890,588,329,
724,730,596,666,228,370,339,192,673,497,968,201,340,317,624,337,590,268,063,
098,256,145,215,735,796,850,240,933,096,069,431,137,029,170,476,992,656,839,
048,234,372,090,710,505,366,213,375,908,466,473,120,812,607,819,445,295,544,
168,208,546,079,355,510,953,760,981,094,764,911,309,951,812,900,851,201,532,
607,659,465,374,518,330,372,533,092,025,234,345,214,278,779,224,923,151,988,
676,876,095,763,479,354,813,261,621,128,040,428,084,431,923,359,829,970,905,
021,083,730,491,981,993,035,787,495,009,012,708,982,660,635,857,897,217,535,
789,995,491,906,940,870,478,087,039,663,825,926,633,831,402,566,574,075,918,
983,835,280,832,208,998,875,662,700,763,007,551,928,282,989,765,598,156,513,
772,940,942,268,438,845,129,111,586,097,229,758,116,629,035,016,642,509,101,
314,323,739,878,152,768,282,046,806,629,956,595,162,344,387,749,466,968,796,
915,261,212,942,389,683,235,997,678,443,675,928,217,059,853,467,644,178,385,
902,823,424,778,188,792,396,376,111,809,813,119,295,148,207,827,227,037,886,
357,480,970,028,946,340,931,910,811,965,821,585,781,552,286,801,216,073,215,
620,293,456,465,019,434,636,406,328,381,981,720,546,154,633,026,148,086,317,
828,095,807,205,529,480,613,027,140,774,997,359,207,703,899,539,171,412,027,
136,100,399,586,346,732,847,279,550,258,422,960,135,373,387,284,229,041,801,
171,020,580,942,734,958,533,567,696,964,020,072,253,786,686,715,415,092,674,
168,817,397,205,232,109,195,531,020,899,665,056,700,891,169,674,407,606,089,
426,995,990,721,386,449,116,185,436,293,972,776,255,561,191,382,344,116,617,
374,235,029,145,924,068,065,719,691,656,800,608,322,418,692,553,906,754,603,
721,360,375,968,949,296,517,979,055,203,589,553,818,991,381,898,346,415,152,
246,198,701,491,058,977,960,681,270,276,125,719,319,272,797,789,276,594,718,
162,039,363,263,957,368,009,813,466,474,870,903,277,669,448,971,467,614,116,
975,199,382,740,918,074,242,770,415,842,465,712,061,706,097,413,522,142,877,
012,404,387,198,209,974,835,521,369,775,892,650,660,245,821,289,870,650,630,
963,733,636,157,714,319,396,388,896,614,235,584,436,774,517,350,662,363,435,
847,988,217,907,139,800,000,283,481,718,332,161,160,417,966,354,828,047,004,
403,334,538,173,911,735,019,233,826,877,051,251,701,308,920,814,682,641,723,
928,769,347,325,704,530,654,308,683,691,067,241,791,314,291,797,156,665,884,
425,098,330,033,426,282,395,800,188,208,429,342,048,652,035,885,007,163,033,
911,426,239,169,549,345,494,905,774,245,902,777,285,921,742,238,298,038,591,
394,388,885,075,460,154,201,394,309,397,703,953,673,589,736,830,107,908,504,
805,268,488,354,697,038,813,378,925,984,949,523,028,926,317,448,368,055,017,
667,496,757,769,537,367,724,278,054,943,089,537,600,401,490,272,041,550,857,
672,536,411,562,796,874,860,193,976,984,126,570,587,015,876,042,957,884,569,
415,004,317,070,413,192,899,001,392,522,990,714,617,147,461,346,300,460,293,
741,210,449,822,295,445,890,127,710,547,461,734,698,355,671,556,350,162,113,
311,334,622,814,118,246,944,010,435,630,924,879,448,332,161,668,374,135,761,
562,137,886,748,631,180,246,114,835,761,460,447,963,841,270,232,554,081,828,
824,320,716,075,490,330,520,473,296,790,403,926,299,538,439,233,966,861,475,
062,832,894,082,311,359,605,931,622,465,949,403,576,624,768,825,606,598,479,
562,699,640,414,717,225,811,604,095,092,736,846,356,235,157,053,135,970,500,
022,606,908,960,472,548,266,645,980,862,114,131,993,996,752,004,699,523,752,
333,928,032,380,258,057,853,681,722,362,590,148,895,948,722,262,651,932,540,
073,304,454,787,396,971,018,813,748,115,489,329,369,076,454,149,913,300,573,
228,722,573,508,990,275,496,485,322,085,110,399,093,194,568,874,609,768,752,
185,308,297,153,119,759,642,750,212,056,966,483,548,697,013,584,723,561,372,
174,361,226,152,561,961,921,308,858,503,613,894,575,885,070,257,930,519,030,
885,886,075,170,035,599,123,473,787,388,478,769,817,190,852,168,764,125,414,
477,073,520,891,515,588,805,004,364,515,381,493,923,425,529,509,905,198,075,
297,203,686,195,493,700,924,820,616,578,445,747,920,155,194,973,190,228,681,
308,099,733,691,392,914,281,832,695,720,366,543,877,380,430,118,337,482,712,
593,800,874,702,509,621,101,318,004,233,726,213,274,766,211,487,485,680,376,
573,948,843,741,974,699,057,869,322,970,659,191,272,909,256,580,084,703,160,
679,939,756,344,636,431,224,308,987,786,467,592,010,511,424,798,792,398,230,
913,329,083,153,942,609,815,533,614,062,089,680,535,537,845,633,423,314,430,
384,640,041,939,721,476,291,844,101,883,869,513,826,784,402,244,893,714,572,
903,802,851,016,531,970,411,163,366,058,166,246,768,092,216,657,279,491,081,
215,011,920,156,486,285,736,275,780,308,164,069,372,979,936,560,854,942,380,
009,321,425,890,418,731,416,747,212,461,570,074,808,430,246,722,974,226,801,
752,387,863,274,424,873,328,042,226,857,290,264,811,504,450,674,599,033,793,
754,884,485,464,106,517,762,576,788,125,193,867,002,449,751,025,220,062,413,
991,733,675,623,501,219,995,006,928,939,967,618,377,191,058,084,491,398,000,
811,736,577,870,909,379,032,968,898,160,190,686,966,926,858,263,345,624,941,
534,412,679,414,566,908,719,062,481,432,567,574,416,016,606,726,138,661,094,
402,570,344,348,561,880,313,875,504,148,492,050,981,210,912,243,899,264,781,
206,172,607,686,654,184,238,997,762,938,296,623,957,409,801,473,764,667,001,
270,994,626,435,803,751,785,057,474,000,595,343,146,799,826,484,815,721,210,
320,582,375,287,966,561,113,014,759,577,339,522,841,659,471,165,821,634,054,
971,431,331,780,592,561,903,933,130,587,774,744,627,841,142,407,996,725,719,
289,772,491,435,165,357,875,596,382,690,059,933,520,179,267,912,191,122,621,
517,165,799,867,540,583,756,209,185,153,118,225,080,515,009,753,625,873,824,
772,018,967,482,707,682,938,991,677,704,479,562,612,596,997,485,632,956,928,
031,695,422,892,641,002,601,020,984,266,568,123,313,832,609,642,003,801,762,
424,003,104,049,362,002,682,847,024,614,718,346,209,660,515,281,568,681,211,
803,313,076,932,816,809,431,505,026,598,630,832,724,547,264,535,015,945,447,
628,821,940,499,801,961,567,841,584,259,686,509,357,576,434,825,556,920,827,
333,868,263,500,747,993,973,132,121,159,960,432,988,839,629,815,556,314,409,
149,291,128,774,669,474,622,078,881,893,266,146,865,846,838,292,265,683,838,
579,683,752,938,368,220,474,296,412,324,989,753,391,585,039,714,503,652,115,
628,753,236,627,540,694,746,285,799,067,424,552,537,969,602,761,488,483,671,
358,032,753,063,752,622,327,773,806,098,463,847,612,151,332,813,818,158,618,
819,792,892,658,707,962,015,999,562,377,928,905,336,508,090,299,423,812,603,
093,339,181,776,035,197,716,718,409,842,063,165,059,877,627,970,202,620,975,
943,253,283,257,906,234,784,636,749,572,221,329,530,900,401,943,494,815,647,
794,455,916,006,336,318,925,155,970,532,780,678,121,887,150,345,316,291,710,
832,591,096,150,585,318,798,079,031,498,440,844,381,848,622,741,319,287,768,
346,855,392,053,249,623,894,225,184,831,574,948,285,495,217,894,373,893,299,
832,102,217,445,773,802,444,243,806,777,755,843,220,694,134,827,658,513,917,
793,518,229,814,751,413,464,233,924,099,703,665,757,970,833,273,612,930,530,
674,608,013,825,812,068,079,478,245,469,259,245,921,155,216,754,331,544,930,
496,839,863,471,135,016,394,851,466,717,927,568,814,736,461,517,226,446,319,
625,418,594,484,890,186,852,524,137,636,881,565,235,371,675,354,292,691,068,
259,334,867,949,328,695,102,347,181,435,201,045,890,670,192,626,322,389,855,
732,662,843,830,396,803,722,117,896,100,856,362,937,670,023,084,234,356,775,
632,925,184,241,575,753,940,413,849,549,129,920,209,157,676,799,787,560,771,
236,661,311,564,836,349,519,981,030,419,083,376,048,962,233,133,969,542,225,
485,899,720,501,757,699,557,193,218,170,589,064,963,771,226,605,037,281,376,
880,282,898,572,196,033,333,958,035,970,290,154,416,999,796,238,228,974,013,
586,911,653,889,351,589,332,080,148,687,797,357,505,906,052,162,407,216,419,
589,356,898,615,327,670,147,716,846,494,328,188,493,022,627,998,777,910,748,
793,204,842,265,341,417,760,301,738,430,160,895,892,327,528,585,883,411,625,
424,325,781,100,071,161,988,790,868,458,108,162,544,968,939,220,227,484,943,
308,850,442,627,477,918,690,141,829,660,991,081,443,156,047,947,031,885,437,
460,227,555,326,287,347,518,072,735,959,541,700,850,156,498,279,571,621,592,
202,493,360,139,871,168,064,841,626,476,772,599,216,902,676,261,899,677,935,
515,876,171,635,350,025,723,639,797,346,967,984,839,464,993,330,738,590,381,
679,223,888,909,506,859,028,538,312,932,833,109,998,092,212,985,937,125,054,
019,281,407,755,618,461,502,898,725,205,257,495,675,743,034,217,027,248,283,
226,577,237,463,717,452,858,083,600,658,238,347,228,443,044,862,896,523,463,
432,948,227,646,957,465,740,355,343,691,799,628,861,251,595,881,473,862,754,
537,997,515,972,932,407,652,907,719,755,460,523,988,511,258,673,699,104,927,
979,318,087,953,160,879,215,185,690,043,788,759,950,200,866,898,241,398,303,
741,519,982,614,568,621,709,257,599,926,605,025,458,315,010,350,476,396,681,
729,654,575,616,082,785,993,764,321,688,771,626,241,863,172,610,409,987,937,
826,313,448,829,335,097,067,667,755,839,623,739,306,484,566,729,064,667,662,
786,441,534,280,556,714,641,477,445,638,412,456,558,834,046,996,346,534,558,
178,089,231,855,754,085,335,756,915,300,314,391,992,464,622,785,932,156,396,
351,387,290,431,247,853,604,097,951,181,903,469,124,508,823,995,914,561,286,
860,613,297,335,503,367,429,080,916,117,004,019,717,074,501,060,621,293,610,
463,244,414,171,973,151,622,511,034,019,738,205,667,017,424,156,127,878,782,
592,924,671,019,334,449,111,311,979,572,490,658,136,932,776,475,984,563,943,
631,882,846,072,872,590,820,728,986,583,794,899,687,634,463,715,880,308,603,
079,993,105,954,972,455,441,050,345,745,814,484,794,738,348,652,333,373,699,
743,083,520,813,574,533,386,854,222,242,147,613,177,383,782,338,562,669,354,
139,883,583,810,445,332,811,087,353,838,983,686,672,649,582,564,067,098,445,
312,849,560,695,236,968,526,415,121,490,655,116,250,716,434,304,187,730,170,
502,162,335,570,894,289,514,111,168,885,248,593,160,710,326,535,644,581,395,
046,270,094,700,712,234,535,997,241,849,064,282,004,032,425,677,435,562,872,
280,809,454,844,156,079,372,590,988,123,598,107,687,701,815,854,643,388,841,
172,239,359,475,804,876,942,321,876,129,794,239,585,528,865,267,935,315,319,
667,258,811,159,942,583,770,446,896,369,645,898,595,415,622,225,761,778,165,
883,132,931,991,762,955,239,965,973,297,939,995,178,775,558,774,060,725,852,
871,586,652,146,587,744,749,746,834,584,647,235,507,943,339,242,696,110,689,
899,654,600,617,478,020,365,613,602,677,837,331,452,015,919,647,199,145,361,
375,115,661,424,779,132,051,471,062,737,798,221,788,638,475,475,426,287,705,
403,017,116,369,482,937,307,130,643,967,421,251,334,332,969,655,882,578,099,
325,058,556,781,905,833,817,092,733,600,014,940,490,925,477,644,305,673,524,
061,322,664,189,550,573,099,893,651,099,058,522,322,274,890,746,171,051,745,
642,970,731,058,737,045,749,557,093,024,175,854,450,128,293,252,231,949,886,
814,519,697,178,754,415,667,780,882,786,405,016,458,398,430,750,951,684,740,
635,803,849,700,671,565,959,704,813,052,577,908,890,036,432,521,572,018,983,
053,528,585,306,456,780,283,260,646,423,628,432,530,950,067,221,768,999,419,
313,848,937,855,817,853,393,946,719,300,517,814,435,663,767,199,814,025,538,
971,668,674,008,114,527,900,150,699,811,798,160,454,990,268,701,047,713,046,
299,549,530,166,237,783,704,404,049,760,826,532,149,882,908,087,786,523,484,
837,349,778,486,551,380,152,786,933,150,976,559,171,010,924,577,996,622,982,
082,354,220,764,462,597,273,579,599,339,572,725,857,670,414,526,251,444,853,
464,215,909,764,899,202,566,651,129,952,994,430,833,665,546,822,124,824,375,
672,660,021,405,665,830,269,071,047,903,325,177,318,641,713,596,612,557,221,
131,826,913,986,793,407,231,148,762,158,479,350,062,509,613,929,141,772,850,
002,917,413,481,766,575,843,450,225,083,324,975,239,152,085,900,230,028,069,
546,410,515,827,559,841,572,741,167,930,272,991,524,287,179,954,901,691,821,
376,553,945,962,769,030,395,653,619,425,784,337,117,697,200,536,260,488,045,
866,871,165,522,152,495,996,721,887,823,770,161,073,840,915,761,130,726,251,
919,009,513,481,790,464,985,892,714,139,508,306,187,191,194,374,447,338,007,
359,869,964,128,878,259,140,535,838,540,552,190,983,011,566,454,649,204,868,
767,184,373,630,799,730,794,293,060,578,194,938,084,894,558,011,335,943,191,
840,482,304,193,883,646,254,645,940,293,448,119,854,532,816,107,538,224,071,
681,628,654,868,568,018,375,369,534,294,991,580,935,319,036,889,600,299,588,
984,645,624,447,986,085,365,899,059,359,546,593,545,809,386,215,009,317,997,
749,340,181,874,225,423,967,156,055,999,204,033,434,045,607,765,623,967,193,
127,140,652,592,705,641,895,656,220,261,380,464,306,161,703,373,365,975,976,
043,493,319,009,301,704,355,965,643,803,235,136,325,536,839,755,784,108,582,
015,693,712,939,879,669,700,371,953,123,619,785,834,929,184,912,323,127,383,
758,333,417,389,136,494,557,654,176,566,985,710,611,702,816,991,329,374,141,
968,026,415,890,321,159,766,837,670,329,596,375,176,323,882,298,535,802,260,
889,070,017,729,178,593,046,907,557,992,789,571,434,864,217,380,851,988,683,
900,776,624,438,595,349,653,800,851,070,398,656,181,175,139,714,328,163,979,
751,313,959,472,811,215,913,021,149,224,983,586,978,640,339,096,816,890,258,
436,957,716,257,184,116,232,839,705,417,081,260,994,754,778,105,409,535,314,
979,511,396,945,351,526,661,103,329,838,147,496,961,520,874,668,567,496,266,
951,456,059,489,345,729,700,229,014,117,358,115,979,045,258,000,827,978,740,
331,889,813,354,921,445,085,593,895,852,268,103,948,875,421,098,621,136,739,
321,558,547,684,827,426,375,076,082,237,207,741,860,125,957,255,710,622,078,
059,187,524,594,562,681,752,009,704,386,297,310,654,515,325,086,791,079,757,
644,113,860,091,774,114,552,226,874,278,154,462,088,451,144,459,583,989,299,
479,224,956,759,280,661,177,876,406,651,575,323,506,728,847,589,170,113,224,
848,558,501,827,272,025,365,850,645,535,024,837,387,722,139,766,244,280,515,
540,746,381,677,935,161,545,490,310,812,900,612,504,295,222,590,223,816,769,
222,272,637,716,003,769,368,958,538,692,457,028,939,891,967,817,213,136,045,
632,090,382,829,624,981,140,383,462,552,491,685,601,331,420,083,952,082,455,
365,416,649,698,126,152,276,978,798,067,089,312,236,004,789,336,902,469,849,
231,940,921,401,314,950,258,846,358,920,238,426,357,692,226,959,751,290,588,
310,908,959,971,351,064,015,605,488,579,667,765,203,010,784,767,144,881,907,
434,032,278,029,399,919,790,413,340,736,371,369,535,332,595,826,890,582,353,
632,911,392,840,271,504,680,412,215,520,475,192,639,005,880,863,493,237,694,
688,950,702,234,099,421,527,732,227,342,384,980,732,938,644,379,360,547,057,
661,112,123,367,273,268,050,292,688,913,422,528,168,688,219,889,986,081,220,
597,369,646,979,952,146,248,247,429,048,626,640,861,125,324,646,018,702,931,
861,141,368,330,951,481,423,487,243,204,393,281,417,655,419,280,436,917,201,
013,875,071,571,467,966,011,368,410,778,932,824,334,771,256,114,815,451,694,
012,461,307,674,568,091,992,375,875,877,549,629,816,942,626,178,682,877,657,
250,833,157,930,630,838,255,551,353,263,812,360,271,747,674,076,760,285,666,
252,299,514,408,183,157,202,741,953,771,893,250,743,713,513,454,240,729,996,
834,688,963,971,145,503,066,040,732,041,986,934,423,183,632,663,794,022,919,
189,204,838,483,815,838,259,192,183,478,548,886,227,246,936,126,853,844,154,
090,812,147,518,510,072,137,094,511,448,800,674,583,357,440,309,290,432,527,
939,329,776,814,528,634,621,824,933,641,059,772,823,660,104,873,205,176,766,
277,031,383,184,882,395,119,660,861,828,537,806,847,043,013,353,132,592,895,
489,061,138,079,573,558,338,696,124,026,869,664,206,589,418,803,074,888,370,
049,061,095,730,166,986,402,716,578,070,103,252,439,274,187,272,037,344,544,
601,193,871,023,445,884,170,983,190,978,552,979,269,459,500,194,320,552,856,
451,411,604,961,243,330,953,282,982,221,368,561,448,831,266,417,654,402,960,
252,369,546,671,230,265,369,184,383,433,159,065,206,930,459,711,776,871,410,
338,262,551,794,338,597,684,201,683,608,788,216,096,819,147,138,701,491,083,
233,101,839,560,285,205,483,387,261,182,681,603,424,248,653,460,519,654,441,
454,526,981,707,965,713,195,338,675,693,216,411,363,734,775,271,124,430,765,
749,081,256,164,423,894,252,298,761,279,623,611,229,966,551,594,489,828,921,
997,278,165,777,918,353,829,592,248,553,589,992,691,924,401,331,166,102,263,
027,189,895,126,949,586,351,135,287,739,671,890,686,597,968,700,311,548,230,
061,250,097,780,625,172,455,744,365,652,944,361,734,570,887,601,849,742,359,
979,252,168,325,146,001,923,666,794,129,659,084,040,244,539,710,935,064,466,
876,452,298,913,066,673,723,532,536,676,601,314,499,276,803,715,135,059,062,
212,772,498,135,383,376,477,050,456,485,113,723,114,612,738,212,092,177,250,
204,830,104,609,366,693,211,717,148,325,008,746,015,201,118,694,403,174,586,
919,188,262,672,768,233,311,440,760,206,006,237,319,741,759,753,733,244,099,
349,467,677,946,400,612,994,939,765,725,140,930,569,869,635,264,734,636,246,
383,428,036,844,422,448,480,607,498,639,771,412,030,808,188,949,898,755,366,
777,497,136,613,992,123,200,293,904,853,696,706,818,395,919,175,805,743,548,
261,107,189,801,716,884,553,014,478,012,955,042,195,269,966,553,183,525,533,
418,843,061,471,369,615,530,909,910,405,997,108,016,251,898,393,694,589,901,
367,835,615,292,873,837,858,871,417,674,535,238,117,205,327,173,525,727,959,
339,629,176,385,577,330,241,521,846,782,360,087,564,628,802,053,581,174,266,
427,239,021,564,428,489,289,359,156,618,063,035,598,337,408,697,858,724,140,
486,451,876,070,884,015,403,518,925,079,230,432,404,581,559,736,874,973,041,
416,294,732,767,719,158,337,666,780,485,966,704,509,075,952,834,168,526,350,
289,811,234,224,883,730,172,070,401,900,158,877,925,055,680,683,800,509,843,
333,328,220,735,068,357,645,873,428,900,215,220,298,888,403,825,037,876,288,
240,799,634,542,505,850,612,818,639,971,935,801,751,691,640,866,476,729,793,
328,774,117,647,994,411,431,549,425,226,844,616,264,721,825,596,105,881,017,
111,563,849,529,654,499,223,113,530,480,151,457,125,820,177,070,211,582,784,
938,775,544,860,239,868,518,952,691,875,078,051,458,506,596,029,304,011,640,
350,322,177,639,532,074,350,593,550,654,953,631,698,973,618,004,633,439,536,
315,392,546,617,857,115,153,927,529,816,871,349,453,444,189,160,932,272,993,
481,207,107,805,270,464,947,908,254,809,573,380,426,808,270,761,177,529,299,
920,810,310,220,095,706,646,023,627,821,553,707,921,934,422,747,751,215,700,
811,752,799,850,732,570,108,303,151,136,134,913,781,755,918,771,975,650,549,
095,968,342,939,256,062,341,752,674,619,324,989,785,267,902,514,448,164,128,
879,671,006,545,328,760,517,202,683,011,425,752,890,612,640,391,068,068,490,
651,705,503,715,389,388,884,289,778,797,814,652,317,320,168,935,191,493,554,
671,180,149,842,628,821,892,695,884,232,498,681,229,039,751,489,843,843,017,
565,634,968,413,656,596,048,943,821,448,904,656,711,972,111,004,870,704,258,
907,895,874,679,585,796,036,306,842,635,175,355,063,645,398,653,356,650,976,
571,332,138,192,062,445,110,399,718,646,202,192,567,077,898,996,921,642,048,
880,573,056,345,394,122,320,512,653,613,072,481,576,984,088,125,369,119,206,
663,072,320,969,239,011,830,890,664,181,908,629,396,471,140,508,585,083,798,
043,719,423,102,018,011,420,492,306,147,584,376,318,658,364,850,203,025,351,
213,041,576,699,677,739,294,009,271,698,908,566,796,608,385,573,905,085,838,
386,007,165,750,055,954,205,580,419,419,711,988,866,932,842,105,842,655,865,
143,297,016,744,000,152,240,566,986,809,883,548,916,598,292,631,065,305,195,
608,519,339,401,085,266,413,594,992,748,301,414,571,720,815,438,709,378,511,
534,807,411,939,318,662,839,400,016,489,736,321,348,393,256,143,887,946,929,
124,481,485,179,227,928,141,775,987,925,086,062,213,425,040,876,702,263,030,
380,735,368,605,312,008,808,284,181,999,325,047,627,553,628,014,134,162,090,
449,902,314,524,671,382,773,361,388,563,712,779,631,774,883,508,285,682,735,
705,760,237,678,700,524,276,322,155,756,850,186,554,142,983,894,627,967,571,
001,249,909,478,189,296,840,906,527,068,801,369,721,078,034,577,157,886,747,
933,166,467,788,201,254,946,076,636,448,874,432,837,243,170,572,370,043,769,
813,351,513,655,579,071,221,799,328,294,160,247,764,836,539,779,113,376,069,
058,122,582,059,055,131,945,538,089,336,883,509,685,766,985,120,935,113,310,
845,216,588,135,991,591,494,417,433,862,582,273,923,801,507,267,216,980,239,
301,215,455,927,297,585,381,662,218,159,450,384,811,066,763,314,415,000,400,
988,258,233,918,430,301,637,565,120,107,702,111,934,537,333,475,498,564,274,
090,067,174,828,744,325,939,677,106,706,435,141,521,353,881,089,288,147,919,
646,520,813,773,384,493,757,138,143,788,839,554,807,940,140,132,161,833,093,
496,535,825,849,002,843,564,087,835,934,337,750,245,226,371,769,146,236,192,
473,598,125,537,888,021,557,966,729,716,737,334,548,272,962,418,699,006,261,
029,744,297,221,501,107,421,511,843,527,152,506,285,170,565,014,787,273,294,
788,214,022,263,354,751,337,785,030,592,707,449,748,945,398,914,054,964,215,
757,557,884,010,936,990,008,915,430,502,357,308,372,183,867,826,965,421,021,
292,037,408,354,363,963,700,912,351,340,623,811,270,921,912,565,185,789,626,
666,062,698,597,123,869,818,860,565,348,482,994,499,014,301,038,262,480,960,
262,954,778,536,106,924,576,618,978,864,286,215,206,597,266,611,865,971,857,
936,713,980,774,183,686,411,306,588,188,431,181,873,841,282,018,163,681,365,
611,352,572,944,706,162,647,923,140,987,172,569,854,671,161,739,042,481,407,
034,019,774,772,506,761,677,146,119,041,279,165,861,047,364,216,005,973,181,
688,733,711,024,374,986,587,539,921,782,023,047,851,276,998,277,324,998,362,
997,201,004,748,166,971,067,596,409,251,389,043,695,193,425,571,562,050,441,
006,656,223,544,554,103,157,961,280,581,870,095,690,259,139,720,445,227,538,
481,806,201,648,401,706,254,436,753,673,201,253,589,690,968,785,552,143,972,
539,182,193,987,438,768,239,929,868,762,629,278,795,315,459,035,733,323,548,
175,806,630,785,213,478,405,689,319,735,327,737,804,417,387,901,134,095,262,
372,023,916,603,004,245,258,618,543,336,321,090,392,300,186,256,294,089,929,
132,343,228,879,602,111,528,125,689,451,700,480,497,611,975,909,072,334,728,
673,465,757,854,782,896,155,422,416,071,558,968,511,167,339,253,433,964,381,
806,797,626,638,054,876,797,526,147,310,538,389,168,625,349,239,146,663,185,
191,449,061,825,028,717,939,587,620,190,186,908,896,146,097,291,605,545,562,
209,324,156,980,175,793,988,919,890,514,791,979,710,023,262,552,999,130,634,
700,243,678,727,697,499,164,113,246,943,786,311,624,347,778,044,150,024,925,
001,895,100,397,145,403,010,375,326,887,189,474,682,745,350,590,631,853,731,
278,222,394,621,382,694,729,393,911,096,433,250,572,234,337,076,459,619,970,
711,795,116,454,467,246,934,565,690,448,521,174,474,980,220,254,972,969,570,
878,755,828,320,282,946,236,621,962,888,979,137,497,556,072,006,680,768,955,
311,630,901,410,337,376,278,995,272,956,531,463,461,489,180,943,722,836,507,
250,876,715,872,617,858,624,188,324,728,143,993,907,473,116,083,734,829,677,
921,951,666,248,825,884,517,832,028,365,196,096,102,499,063,224,416,830,155,
610,727,305,498,608,413,576,926,031,118,698,218,007,959,080,599,760,015,642,
928,708,176,568,625,798,162,497,831,124,767,578,981,514,173,734,653,581,417,
560,852,958,668,091,937,543,108,424,722,870,558,743,900,177,693,987,556,165,
919,289,311,092,392,983,528,494,082,510,360,573,515,344,200,631,145,404,290,
642,204,534,759,079,735,421,656,881,366,159,299,342,730,164,244,621,286,803,
718,096,952,392,875,831,911,504,755,347,584,996,549,368,304,835,507,270,661,
710,500,561,386,451,306,762,376,615,389,641,105,406,676,853,082,756,294,621,
811,520,897,227,169,724,246,939,034,506,996,335,342,055,712,786,800,784,711,
965,497,037,588,706,282,051,866,169,811,116,134,876,459,809,842,388,231,619,
074,165,840,859,565,574,884,382,650,372,152,379,823,556,381,302,048,932,884,
519,996,559,534,463,141,149,384,547,114,105,558,682,470,225,340,091,486,466,
954,401,804,512,439,125,206,356,217,736,275,532,827,660,974,133,571,800,327,
474,131,334,146,559,199,469,918,128,928,526,763,167,238,513,319,200,613,310,
880,177,979,348,696,801,507,442,635,204,605,967,279,123,666,017,619,265,000,
536,462,221,248,652,709,434,223,056,064,959,822,548,364,755,112,538,815,745,
147,681,016,888,347,541,618,184,411,390,544,290,051,118,056,393,011,699,481,
994,160,680,158,789,336,894,662,829,130,305,892,113,481,961,027,352,881,447,
490,034,716,647,937,970,740,452,654,158,771,085,509,110,793,179,243,232,728,
750,139,080,246,838,203,786,120,044,765,907,586,324,974,311,595,473,130,395,
654,636,217,677,337,270,710,668,550,597,814,408,870,839,322,984,641,969,238,
738,292,409,718,434,245,040,724,516,724,681,481,837,837,161,113,572,402,505,
560,446,592,011,992,126,292,483,242,835,173,472,680,339,942,587,042,065,574,
427,913,534,325,585,282,710,400,953,174,935,918,722,868,198,235,779,939,877,
696,956,760,479,429,733,253,345,338,935,131,722,151,493,712,836,724,411,739,
841,000,973,208,745,248,573,666,783,833,702,048,196,018,131,880,658,452,330,
199,179,056,365,135,942,768,678,274,091,968,662,572,861,869,280,632,369,484,
747,549,432,061,341,428,609,025,413,308,002,079,310,688,136,579,348,206,454,
710,392,831,539,110,158,739,565,887,972,330,212,972,167,064,790,871,785,161,
427,306,564,774,574,206,998,789,317,669,793,913,839,666,871,288,804,881,084,
513,288,878,119,955,046,164,075,116,880,908,357,348,904,661,431,986,807,439,
904,318,194,615,040,417,238,809,336,859,265,071,279,795,684,213,227,698,744,
308,631,703,017,204,635,637,248,312,202,245,824,279,644,347,962,257,109,765,
528,811,560,228,666,140,656,599,171,459,122,577,329,937,843,115,487,632,622,
776,022,802,830,873,020,254,535,332,932,882,687,600,514,400,645,282,527,175,
086,209,819,057,910,433,091,191,203,388,101,883,408,540,920,209,444,946,725,
655,283,484,409,731,712,540,463,269,979,291,809,221,682,590,094,471,322,395,
000,788,953,530,474,346,119,599,893,232,937,204,485,450,263,708,718,050,265,
512,428,271,181,922,718,461,218,379,328,040,423,857,840,987,852,796,043,438,
559,331,814,783,050,079,141,511,486,638,452,076,898,054,125,968,465,936,229,
834,047,362,586,998,747,741,583,828,071,896,825,684,593,973,044,054,631,536,
482,593,773,067,839,362,139,566,485,539,978,997,450,425,289,637,779,658,735,
966,574,623,853,464,942,294,839,482,174,757,978,844,976,454,390,150,607,769,
671,738,767,913,458,020,298,814,090,228,051,147,101,102,320,473,517,618,930,
219,033,805,566,899,765,859,541,615,841,575,386,806,546,860,746,520,628,272,
610,698,530,423,342,013,294,005,036,756,742,556,480,931,602,559,105,577,482,
407,706,901,035,065,258,244,864,789,384,411,266,428,793,086,346,224,676,639,
892,131,071,808,070,728,951,667,410,188,471,252,015,208,609,645,062,706,227,
866,290,569,196,012,569,777,894,592,548,732,791,214,331,684,845,605,727,551,
125,657,599,945,067,349,046,386,192,874,129,312,576,409,367,716,338,771,872,
145,125,441,141,287,655,087,094,649,549,379,504,853,766,932,453,694,561,039,
250,833,869,849,734,093,864,238,641,877,700,926,846,774,921,250,544,708,289,
512,067,568,374,179,581,365,905,481,539,151,333,047,542,878,778,204,442,186,
652,633,911,680,540,159,151,473,098,990,593,195,995,817,289,709,108,306,797,
400,025,183,135,410,751,999,745,922,310,621,604,542,523,499,624,344,223,838,
125,329,170,334,120,105,548,428,787,859,126,701,832,403,043,684,846,384,886,
393,497,806,554,356,890,466,952,211,475,930,208,697,355,359,164,624,992,879,
763,539,280,172,074,283,876,232,779,993,189,080,933,283,788,856,790,804,078,
035,343,729,513,404,133,110,289,943,127,724,471,742,026,968,697,817,161,463,
088,535,331,433,366,945,585,052,573,762,659,469,715,440,809,051,129,158,865,
929,921,761,051,698,981,758,928,443,577,642,729,265,975,045,425,205,661,350,
093,784,619,982,232,925,361,141,321,997,164,955,664,865,453,235,645,600,959,
786,931,748,199,814,240,880,028,743,630,418,751,981,768,844,212,688,138,303,
237,761,917,643,078,808,697,717,829,125,891,869,466,021,406,076,159,472,794,
972,731,737,533,682,545,373,922,047,030,503,592,666,697,744,033,025,337,112,
755,159,239,200,586,556,934,563,515,032,609,575,756,041,040,083,061,244,696,
341,169,226,524,288,187,770,559,767,496,705,483,710,233,425,380,516,745,567,
530,915,562,263,225,238,700,371,281,417,200,482,463,271,036,459,727,325,406,
456,685,051,324,253,986,357,925,346,666,090,454,045,158,116,400,626,647,242,
085,805,367,863,332,656,995,670,527,784,081,331,719,288,936,097,196,796,852,
429,118,427,930,067,204,010,803,108,752,509,158,818,721,606,329,099,254,147,
874,092,071,709,603,397,300,836,361,654,303,623,571,500,036,258,899,703,224,
436,141,024,114,880,834,281,012,293,304,021,518,646,843,048,759,074,582,069,
527,398,580,372,082,234,411,462,376,786,709,720,949,884,413,035,540,638,286,
346,256,226,116,211,692,745,213,941,774,722,372,128,533,534,537,541,180,071,
945,093,985,418,861,466,100,071,177,651,230,748,022,804,292,682,533,617,162,
423,873,158,577,188,755,374,753,751,776,383,273,914,755,248,696,153,066,629,
677,659,398,682,073,938,665,168,183,615,871,385,864,754,551,261,793,093,348,
303,163,789,585,379,798,149,375,495,450,576,557,223,690,845,882,802,473,934,
404,080,905,964,857,107,017,280,201,020,715,191,272,073,865,511,584,409,439,
313,713,936,853,671,704,905,343,928,928,098,072,773,697,622,476,720,855,028,
697,890,137,064,162,826,613,247,671,569,884,421,783,356,664,188,214,736,337,
418,004,616,695,542,691,189,633,834,865,111,847,062,682,521,850,904,692,309,
150,188,126,522,573,081,286,886,706,721,956,788,614,614,137,843,147,482,618,
844,622,455,895,405,354,473,366,835,492,804,663,336,467,684,925,717,072,364,
534,633,250,285,790,923,624,882,324,463,840,268,156,953,637,282,764,882,607,
645,879,590,040,957,926,167,736,567,396,289,940,160,559,274,954,396,549,865,
784,009,735,401,855,939,179,306,731,970,341,779,924,861,972,014,465,555,712,
404,798,986,051,546,327,912,878,676,947,162,093,573,958,308,198,478,946,567,
268,904,256,120,708,347,738,168,208,400,878,224,118,238,229,597,705,684,276,
964,822,249,501,595,105,502,581,837,835,429,878,146,592,365,929,250,866,099,
040,399,409,486,634,816,631,247,946,182,499,114,679,311,581,993,348,328,570,
071,875,076,026,208,629,625,409,791,263,690,370,116,073,062,636,182,816,241,
711,477,917,597,501,361,703,824,792,720,408,909,097,239,059,895,253,673,304,
110,623,309,535,753,395,727,741,159,711,086,446,975,719,341,434,915,827,962,
619,606,893,984,235,721,794,237,831,988,447,280,183,202,611,393,707,575,228,
004,599,958,809,474,496,940,930,853,887,319,564,029,011,831,423,771,829,250,
757,166,319,787,639,644,861,868,430,225,682,479,045,298,052,040,159,160,604,
531,642,615,282,094,795,692,749,931,819,050,883,278,945,528,416,258,774,460,
450,529,560,465,868,767,522,934,957,714,279,079,846,650,925,835,800,283,572,
884,705,758,367,619,104,715,967,640,154,278,108,709,063,390,261,212,831,266,
139,217,231,662,405,649,066,433,808,259,289,465,380,246,425,474,352,933,005,
892,687,996,005,156,712,858,222,522,125,059,236,406,035,165,371,222,091,767,
411,521,862,743,277,786,744,261,902,297,498,355,466,567,825,484,495,560,596,
070,611,207,587,913,009,700,273,176,885,986,562,129,027,807,020,124,302,120,
596,999,093,275,821,156,603,566,169,469,375,296,409,507,473,821,420,159,837,
798,632,597,033,497,979,690,358,034,356,410,062,742,439,584,581,607,962,523,
036,329,757,962,634,889,276,395,328,142,506,841,643,291,895,989,100,087,261,
862,171,411,801,655,644,278,810,360,165,243,642,165,289,752,009,505,512,993,
965,996,761,621,624,633,940,756,504,699,641,204,076,882,724,687,887,217,836,
125,547,038,232,518,116,065,230,518,447,292,901,939,195,067,629,369,973,900,
755,560,142,822,906,667,496,221,075,713,442,529,323,619,491,085,055,721,564,
019,827,902,757,913,742,774,365,680,939,282,423,255,663,030,359,364,738,723,
824,529,793,887,578,930,123,394,108,315,909,979,467,754,169,005,285,756,906,
707,486,581,023,665,491,621,236,416,826,972,474,201,205,340,963,094,523,201,
448,768,863,590,923,921,661,304,407,697,314,705,185,447,878,848,668,003,935,
917,856,383,905,006,914,582,791,284,838,309,415,642,805,210,629,340,946,725,
982,135,371,061,397,022,040,612,208,424,668,116,389,858,799,566,947,201,178,
245,468,402,547,787,088,317,538,174,853,087,586,675,216,066,359,397,581,882,
762,000,396,017,460,005,797,497,060,393,380,219,050,522,086,088,995,649,749,
205,655,260,598,712,730,518,214,880,500,457,964,993,622,362,862,198,577,701,
545,421,054,643,499,536,967,368,245,127,481,615,859,462,822,498,796,736,163,
445,021,789,422,538,226,391,267,782,012,593,899,080,517,171,152,442,148,790,
278,302,173,943,581,202,743,166,939,359,628,513,361,143,806,089,852,405,175,
106,891,539,930,958,885,489,458,218,949,605,012,577,164,632,788,428,239,678,
452,692,467,339,845,599,208,694,953,612,874,588,884,251,531,902,064,641,395,
120,177,493,680,550,405,843,070,293,173,951,206,051,982,136,544,982,808,280,
360,377,252,492,431,873,327,434,996,894,080,724,879,502,489,449,172,502,147,
069,474,580,965,225,085,075,404,314,707,105,990,436,283,552,691,098,806,556,
503,037,092,043,007,989,346,535,588,234,971,885,188,820,450,207,975,897,778,
810,968,499,252,677,621,714,151,725,762,297,787,894,479,773,487,146,362,767,
150,262,484,790,762,347,678,502,266,938,551,385,614,682,592,496,966,764,501,
143,256,371,282,611,972,390,478,998,841,759,068,966,927,090,166,202,055,994,
963,330,970,136,378,595,217,242,150,319,846,658,102,318,288,514,031,211,830,
623,621,736,689,695,230,886,093,669,787,583,211,827,710,187,058,508,047,355,
830,558,490,584,901,393,078,283,552,149,564,956,520,589,884,688,310,377,053,
804,814,975,703,635,628,096,411,195,671,679,777,502,922,339,255,748,798,519,
112,584,282,054,847,263,128,120,970,645,879,867,430,874,626,690,783,813,186,
133,050,389,868,826,754,893,586,645,356,697,156,341,011,861,099,265,521,773,
204,609,501,373,854,566,658,607,156,790,642,384,209,023,720,058,456,225,676,
154,924,884,580,061,164,971,010,952,908,997,761,340,923,779,843,521,066,614,
982,062,634,873,328,235,172,649,971,673,505,390,949,259,059,586,752,712,573,
287,582,426,913,157,357,055,977,622,475,846,958,631,339,747,649,279,184,870,
911,052,898,595,040,314,074,489,338,761,387,623,849,973,296,159,295,431,804,
202,581,792,912,460,258,802,828,151,301,829,959,323,927,570,997,956,678,867,
922,713,525,510,002,158,738,152,103,337,670,723,362,821,021,578,276,913,541,
469,924,832,323,983,699,141,408,266,802,943,780,900,795,567,735,859,587,013,
757,328,490,438,271,720,875,087,428,421,261,700,495,360,025,153,867,919,248,
684,151,235,433,512,754,600,589,593,108,114,101,068,679,270,746,759,178,820,
618,169,063,338,367,526,172,000,841,139,878,489,665,512,011,015,843,479,608,
484,776,810,187,549,757,633,651,696,995,646,941,166,880,694,823,522,088,968,
785,458,427,437,368,369,918,979,268,604,053,867,880,510,378,197,324,288,814,
552,951,508,309,156,354,936,050,204,412,263,990,489,757,022,794,270,188,562,
153,519,050,944,382,218,265,715,483,510,423,032,893,432,855,225,704,596,802,
384,646,324,167,169,962,734,859,632,066,713,404,311,895,752,895,327,283,255,
239,884,938,566,243,810,643,274,659,674,790,388,531,722,778,091,509,686,700,
878,825,148,378,865,595,406,368,434,792,518,538,060,314,937,837,675,332,427,
775,051,158,067,721,639,309,380,166,547,784,826,057,008,682,330,626,139,240,
168,098,976,803,505,639,148,723,711,037,392,122,568,989,461,200,344,188,213,
805,655,387,152,847,249,266,834,697,602,249,694,891,181,590,959,332,210,458,
138,246,283,295,635,226,267,036,011,072,089,423,802,714,118,961,266,575,691,
713,786,378,290,507,810,968,457,761,202,446,789,404,522,247,604,189,041,646,
249,521,217,228,769,169,243,195,063,020,327,397,382,630,377,858,939,871,710,
248,089,865,776,460,034,354,332,735,708,918,619,606,264,206,902,390,391,484,
399,978,294,248,131,689,841,080,662,058,315,521,607,064,156,603,886,239,515,
170,040,914,322,172,758,886,976,414,685,797,618,623,291,077,944,839,460,484,
137,996,570,011,414,576,167,147,000,251,320,215,461,140,722,544,153,487,086,
458,219,210,208,114,227,738,431,435,022,147,610,441,165,773,963,192,475,942,
964,446,999,529,946,382,742,356,788,065,435,564,030,617,093,594,673,537,784,
704,615,809,101,990,015,821,441,377,271,957,450,646,655,807,012,115,108,465,
995,268,649,605,567,733,852,016,542,659,868,262,036,398,619,270,262,286,614,
660,967,139,567,979,936,626,586,378,737,122,750,858,642,827,069,090,494,060,
671,693,979,479,454,410,076,813,229,075,626,988,944,571,083,993,927,335,454,
768,336,335,417,414,556,646,939,998,660,145,347,854,814,254,100,672,525,487,
933,305,186,253,159,352,788,839,293,790,101,114,248,731,889,382,541,638,837,
935,254,099,262,807,045,923,841,758,955,783,125,959,245,130,825,496,312,357,
198,530,896,955,454,287,424,254,771,014,269,116,250,563,242,610,862,228,560,
919,279,783,215,090,552,732,059,727,592,977,820,803,546,876,085,741,885,007,
592,254,797,370,378,028,915,158,706,204,004,512,150,380,487,863,225,053,868,
015,844,128,408,512,579,826,323,240,180,559,461,608,879,133,603,101,714,042,
116,899,515,576,726,851,095,007,038,148,665,952,578,236,820,881,428,038,201,
216,013,812,967,321,853,532,998,248,699,422,490,179,637,605,588,911,787,378,
130,269,850,919,716,635,349,199,061,193,552,026,525,292,608,146,751,636,686,
466,792,548,286,924,164,082,124,465,809,699,762,449,410,006,546,003,350,012,
534,473,685,134,753,860,476,682,357,783,424,041,127,931,207,007,160,211,880,
554,449,063,676,912,782,644,157,818,415,195,260,137,907,886,658,621,136,285,
776,637,726,342,453,611,120,912,556,709,716,372,282,941,595,324,337,955,002,
151,291,072,591,275,008,539,841,435,792,704,012,970,260,427,229,243,392,207,
457,272,055,488,958,962,159,863,268,519,975,332,092,124,061,769,414,159,312,
471,702,747,356,727,213,503,117,730,574,809,624,889,504,891,860,701,308,273,
219,114,005,935,605,565,053,383,494,475,311,385,906,290,715,268,513,239,409,
805,862,029,144,937,079,815,682,937,996,642,982,213,074,516,656,657,398,801,
773,234,709,646,633,941,409,786,782,286,703,774,041,378,325,521,736,025,145,
260,188,970,986,764,929,492,702,248,829,034,106,267,620,358,655,555,025,382,
251,153,790,195,652,840,964,055,793,664,945,593,901,617,662,393,113,072,850,
080,611,427,062,409,215,150,516,295,127,159,935,773,836,304,308,384,373,184,
498,787,837,779,818,298,146,847,732,853,990,020,003,329,891,313,976,457,348,
788,004,581,899,692,424,792,430,694,676,828,333,817,201,340,123,064,582,143,
373,104,539,285,103,698,111,949,127,438,841,030,490,060,629,695,203,752,286,
657,450,039,716,466,753,795,444,232,711,962,203,827,008,308,017,624,731,155,
524,159,382,788,424,820,436,137,701,287,176,760,308,522,073,990,342,442,118,
879,115,804,422,558,016,786,323,219,682,691,341,282,141,920,180,673,083,891,
626,401,340,528,985,049,835,165,477,246,167,737,602,555,534,563,183,170,219,
559,494,287,645,653,742,545,531,366,296,615,792,368,835,210,099,126,194,313,
309,640,234,058,954,888,917,944,094,648,811,077,641,594,791,900,688,244,569,
061,491,396,862,984,054,273,466,550,275,973,622,285,200,167,346,800,624,941,
348,052,921,753,601,277,153,818,315,943,411,478,837,394,746,058,942,481,311,
760,206,366,355,483,102,547,216,269,445,265,201,675,137,158,725,179,369,097,
025,011,887,430,343,450,173,508,026,412,154,506,924,179,169,880,417,504,398,
681,413,775,733,827,253,272,276,097,667,883,592,079,976,300,466,365,468,835,
755,855,574,240,297,775,356,786,297,763,047,779,641,748,542,623,725,084,832,
162,784,962,588,804,033,695,968,651,135,667,741,160,920,885,849,638,103,009,
493,079,899,026,108,586,784,859,322,833,577,902,512,640,278,824,138,348,296,
149,087,561,984,378,461,394,802,390,922,312,621,024,044,706,325,894,316,187,
907,759,423,029,416,329,533,370,024,890,943,486,632,144,778,118,583,806,919,
015,388,830,809,900,289,553,662,854,335,265,116,758,325,225,077,179,969,982,
439,392,464,141,498,507,409,157,340,071,270,175,191,811,348,165,281,967,171,
900,848,742,061,455,605,626,892,663,412,600,299,532,565,656,825,186,392,331,
397,281,349,105,922,072,136,526,553,065,652,205,166,066,056,343,697,145,509,
393,932,489,171,287,743,631,250,136,998,302,325,304,463,742,458,958,497,911,
589,499,424,116,821,047,417,840,486,969,586,839,980,299,271,974,986,165,301,
199,686,893,511,413,765,784,817,753,349,105,008,198,407,966,611,406,182,903,
960,432,133,395,149,603,729,831,959,343,411,704,264,670,009,267,412,669,214,
912,562,226,314,278,012,636,858,949,199,700,145,575,705,860,587,937,446,871,
359,095,765,087,143,608,913,508,078,402,165,919,581,379,835,212,061,828,427,
805,778,048,860,870,695,170,318,519,894,479,523,278,104,187,647,466,742,797,
725,417,468,726,313,494,992,797,299,748,622,074,555,307,243,750,430,105,061,
326,986,778,279,773,665,208,626,712,351,594,323,563,587,093,678,190,566,565,
021,690,358,266,754,020,131,299,230,512,657,879,746,504,679,166,852,465,258,
615,586,152,825,034,598,146,114,595,316,438,465,812,104,498,664,716,783,057,
168,952,411,468,320,089,090,314,470,182,267,856,742,859,221,554,701,625,151,
136,574,530,613,156,758,139,316,794,398,890,367,205,414,986,621,918,083,196,
261,610,862,824,862,027,505,590,153,253,314,889,089,350,651,066,240,740,344,
948,988,118,199,755,839,634,546,207,885,659,195,478,060,724,997,393,487,649,
734,111,332,183,902,684,089,911,922,639,444,761,442,704,242,301,679,503,982,
333,219,309,217,597,166,692,780,797,412,358,435,889,570,735,714,167,882,904,
031,505,904,182,264,113,685,573,599,264,888,334,414,029,761,206,823,346,702,
433,143,303,255,132,549,649,166,725,060,202,066,619,074,956,175,694,362,797,
351,195,046,998,771,947,636,976,616,226,086,927,676,213,334,252,842,516,250,
579,700,869,173,379,476,196,699,647,319,522,342,505,327,127,059,328,846,398,
738,460,928,059,747,513,781,432,212,381,361,381,930,211,163,089,503,814,381,
990,314,868,560,992,079,155,801,327,212,102,700,739,127,123,510,307,381,994,
950,232,469,815,685,800,252,880,066,387,158,972,637,871,359,901,910,425,952,
280,163,298,637,897,591,522,320,853,758,958,405,071,532,293,804,534,320,412,
591,698,579,863,039,128,728,248,804,515,212,277,061,192,220,457,445,465,565,
695,562,265,120,679,291,378,080,031,196,222,125,100,672,081,673,092,839,844,
505,693,355,422,485,220,334,558,884,173,271,243,552,483,288,711,277,624,067,
288,436,431,025,149,807,943,440,829,697,030,767,386,072,742,120,019,469,836,
991,931,565,254,957,983,609,949,031,536,095,076,058,289,624,550,656,665,323,
611,435,223,366,730,991,138,198,104,791,285,089,583,461,059,636,663,340,414,
940,510,702,302,648,453,538,634,482,477,083,891,521,741,015,701,323,273,647,
396,769,255,843,483,824,430,972,646,175,186,258,307,806,100,356,319,597,876,
082,531,908,325,363,214,802,205,914,992,113,895,674,994,820,912,529,990,209,
505,933,388,176,498,714,409,160,779,599,010,023,775,217,529,717,845,324,120,
871,616,177,954,793,700,075,114,103,111,086,768,007,619,197,315,106,908,336,
035,201,696,104,168,469,746,364,929,585,846,666,392,009,380,867,525,886,436,
686,801,837,450,191,777,892,565,443,884,030,697,912,932,426,455,969,551,293,
494,981,990,238,828,406,634,158,307,454,258,370,107,356,042,063,575,624,171,
995,706,409,111,390,755,663,126,701,210,627,222,705,924,948,723,854,123,916,
584,029,929,228,258,315,625,927,808,669,611,224,892,101,569,439,025,872,684,
859,938,264,561,096,717,360,342,511,537,943,323,228,380,827,585,560,731,115,
376,436,106,292,044,386,512,938,688,599,675,974,606,348,122,598,006,067,638,
459,725,611,876,180,230,805,575,153,861,085,303,500,768,547,998,540,141,757,
572,051,510,777,562,742,833,109,816,617,750,710,167,933,862,790,323,779,385,
553,888,501,533,166,545,627,496,906,504,461,899,584,634,130,806,366,561,934,
002,156,374,101,397,574,198,441,813,650,329,542,328,804,687,589,886,196,895,
394,307,966,923,744,815,181,936,983,453,350,150,738,242,045,320,724,944,758,
581,595,197,024,622,343,856,597,795,392,360,608,172,665,426,814,692,477,249,
969,502,825,029,054,355,558,203,802,717,238,144,377,190,790,394,513,765,185,
499,076,941,658,225,653,715,450,807,054,921,235,473,376,825,407,642,789,413,
706,271,507,259,026,145,873,173,765,292,297,765,808,345,079,083,695,111,311,
738,891,779,454,368,030,335,986,873,461,569,381,046,347,205,975,279,801,767,
121,378,755,095,565,445,958,790,735,667,088,657,029,079,480,056,079,199,995,
591,683,249,223,601,868,715,323,766,404,498,719,733,126,763,639,089,369,994,
539,989,334,986,124,377,937,375,483,101,351,464,879,510,762,037,301,469,828,
120,650,961,725,400,927,932,191,634,073,805,412,029,076,309,303,436,460,187,
942,056,090,371,408,385,711,384,231,964,271,623,540,321,988,971,118,938,699,
270,136,012,926,382,262,821,111,110,151,127,651,560,523,621,145,149,448,065,
571,820,069,822,844,759,987,921,521,441,008,691,016,830,718,516,463,797,811,
886,435,626,811,852,363,891,928,266,172,217,916,412,541,127,431,726,085,968,
197,756,959,728,585,097,130,252,580,886,404,874,167,904,863,732,504,672,489,
336,633,730,074,432,336,591,810,367,158,941,130,366,961,483,642,386,992,743,
779,995,740,951,319,525,592,413,330,497,151,762,146,618,253,431,682,045,974,
992,413,134,186,059,118,746,623,734,965,322,731,314,598,612,401,512,402,691,
302,033,847,254,457,362,651,159,697,405,513,516,955,211,331,284,880,650,390,
861,742,195,919,138,557,347,455,166,568,444,361,776,301,923,077,974,937,905,
303,622,460,436,891,048,627,085,229,804,566,721,947,992,712,932,499,701,015,
377,013,214,771,006,549,065,304,250,621,291,574,044,738,501,969,953,640,566,
029,613,594,098,616,378,687,370,158,951,766,304,240,135,675,853,782,580,052,
513,531,785,220,871,560,203,042,975,227,285,946,673,650,447,626,724,470,594,
550,599,294,389,480,990,981,608,638,318,593,853,040,176,622,462,212,089,167,
388,921,491,888,041,903,114,040,902,217,190,227,922,175,854,499,985,089,598,
897,985,243,260,604,270,275,626,798,189,318,410,593,998,570,768,497,480,444,
576,666,222,061,676,872,724,230,604,457,946,756,740,749,897,771,155,159,605,
381,793,915,342,946,471,019,757,668,211,569,454,138,455,310,531,469,359,060,
596,278,716,277,893,080,415,698,734,525,340,722,920,133,422,834,907,329,770,
627,602,141,256,618,884,673,103,621,982,391,960,683,881,791,234,558,633,312,
018,286,190,960,302,616,883,066,796,015,788,287,666,813,949,781,452,134,037,
063,011,571,429,596,387,484,411,985,764,637,058,133,541,689,037,254,405,147,
209,031,726,411,487,136,568,501,893,860,401,814,395,469,565,736,724,685,652,
213,273,548,186,639,580,912,405,185,519,795,032,577,035,551,222,882,927,127,
577,767,851,051,119,360,700,733,607,654,148,112,074,501,332,567,892,815,602,
050,518,903,574,142,918,920,908,777,725,674,521,753,370,829,207,650,697,162,
990,482,208,705,788,797,452,515,816,715,610,757,841,047,962,759,143,984,883,
954,718,712,636,647,080,410,341,051,223,907,159,797,735,140,998,755,894,999,
867,244,407,343,561,043,255,871,711,995,840,305,881,674,512,790,824,754,809,
372,483,948,086,016,508,334,845,330,907,210,417,598,730,182,177,075,820,687,
964,830,745,254,122,358,106,220,658,114,383,780,535,247,574,041,881,961,615,
036,075,402,024,534,658,081,267,636,732,017,662,802,423,429,853,247,034,111,
781,446,414,594,875,956,251,875,270,236,152,178,353,555,363,562,213,396,899,
930,888,457,759,534,453,459,748,448,843,405,408,818,924,617,777,962,577,738,
681,899,679,983,667,410,498,153,790,662,020,190,538,029,643,188,830,445,987,
656,723,237,893,693,212,466,220,107,305,865,645,739,057,529,341,684,405,684,
473,294,306,329,491,909,839,512,978,304,896,492,248,517,643,499,680,673,582,
895,100,817,898,197,794,532,077,151,108,430,987,861,431,719,160,842,158,950,
694,044,446,079,636,276,090,062,297,847,911,818,663,085,134,908,746,580,976,
975,857,903,851,426,834,239,629,300,413,789,155,445,547,113,878,446,815,175,
334,128,676,595,190,928,982,929,815,932,821,728,496,847,927,819,390,712,097,
616,339,208,675,967,911,282,219,231,623,894,816,567,160,249,736,026,102,951,
302,184,066,754,424,947,080,958,307,789,912,272,846,709,786,156,228,179,436,
011,332,635,488,825,426,636,951,229,093,296,712,014,133,686,049,405,420,676,
869,510,483,152,793,453,933,735,880,241,192,585,675,250,499,403,102,601,765,
458,747,980,009,188,023,673,741,737,899,669,976,630,305,902,357,231,821,958,
228,841,708,363,929,737,234,059,257,799,750,782,884,913,290,659,172,789,454,
686,150,864,332,317,810,275,525,184,781,795,238,113,097,137,901,273,344,083,
789,449,770,931,397,583,598,269,730,931,070,932,332,096,437,944,811,164,777,
178,720,841,937,261,359,806,350,993,602,292,390,042,611,581,472,788,983,426,
623,145,014,248,496,351,919,691,408,798,462,068,744,606,199,705,821,729,733,
567,818,964,523,457,316,854,923,985,184,956,560,297,213,068,692,554,815,654,
766,005,086,011,463,100,861,632,598,471,897,174,115,134,777,612,084,366,326,
758,165,779,751,998,158,306,309,545,937,360,992,774,742,321,077,935,794,623,
475,853,251,001,902,944,533,279,405,497,540,061,951,512,066,375,095,321,519,
964,776,881,076,442,479,193,694,707,799,897,405,688,753,598,148,907,440,209,
212,273,645,848,215,547,122,116,882,459,136,096,142,234,750,613,980,375,185,
278,529,368,170,822,998,694,356,934,830,735,019,583,069,986,080,472,644,947,
476,746,676,700,404,072,441,233,592,293,883,134,872,753,850,891,130,422,583,
258,966,588,792,001,122,579,546,767,033,549,682,352,056,482,610,813,365,620,
137,628,938,064,984,351,088,460,403,826,523,700,200,684,799,961,318,753,345,
123,914,533,412,925,625,137,694,974,026,463,135,386,062,772,015,143,501,055,
589,634,727,670,959,729,568,136,749,809,468,483,972,908,201,235,909,145,279,
723,920,633,368,127,293,861,822,636,848,621,992,244,189,904,663,039,827,535,
647,262,366,886,027,819,706,123,004,792,062,754,052,287,551,369,462,097,612,
354,566,185,374,672,833,572,965,728,001,605,214,799,740,688,846,548,477,920,
822,377,864,971,336,919,795,648,342,300,979,632,843,044,912,862,175,473,524,
131,814,404,031,141,613,574,004,541,696,634,026,610,812,903,501,264,942,668,
049,168,931,032,361,098,420,649,895,403,590,722,425,422,256,465,151,577,650,
585,926,464,815,948,953,628,363,721,109,476,809,852,136,112,184,664,318,823,
762,469,182,825,352,775,066,986,988,286,983,785,577,069,731,507,894,234,479,
607,000,033,843,193,243,177,698,666,335,811,016,607,839,179,157,591,700,763,
603,332,596,997,617,237,756,002,413,088,614,188,147,195,999,411,868,451,530,
770,628,058,649,497,140,156,151,056,350,649,771,960,709,469,884,229,418,173,
023,205,066,386,893,462,451,790,860,010,775,697,161,034,193,146,698,363,902,
372,882,599,273,293,991,795,236,902,991,050,596,793,332,461,390,865,475,619,
700,727,472,797,044,842,473,359,686,237,117,194,978,497,082,918,553,818,346,
695,437,454,895,987,295,173,964,510,226,198,432,225,649,709,024,853,118,837,
654,608,037,488,098,301,855,725,053,813,111,921,648,634,399,156,318,341,271,
537,783,742,395,719,134,100,941,838,372,361,585,839,814,623,338,067,340,666,
296,551,480,245,384,155,788,847,427,120,432,610,333,848,437,854,182,510,527,
874,667,456,536,737,151,144,433,110,578,275,456,888,192,959,167,312,823,328,
203,473,047,525,586,888,732,822,093,819,144,825,722,160,822,023,113,918,479,
818,927,387,503,036,142,326,563,173,472,201,017,520,710,212,713,353,276,018,
433,883,142,057,727,782,050,008,634,140,487,619,896,776,438,609,922,144,976,
793,631,186,091,512,611,194,296,952,502,904,662,254,740,542,127,005,867,332,
539,447,779,402,386,027,846,262,752,007,974,686,794,836,681,243,788,403,040,
147,569,840,018,533,336,535,238,645,280,258,574,594,221,462,604,319,588,699,
873,040,712,377,863,558,170,339,800,685,584,412,875,686,306,704,051,304,832,
026,494,528,699,409,117,495,833,629,480,297,332,338,309,798,057,862,079,685,
045,654,066,751,239,553,477,660,411,117,688,234,834,977,513,062,085,486,963,
423,666,307,516,580,231,401,978,237,623,663,819,098,700,628,915,631,946,243,
622,880,027,535,460,576,789,536,261,025,927,541,693,914,209,357,617,830,927,
534,720,065,419,810,380,750,355,193,694,041,816,041,676,069,125,933,900,923,
018,373,679,846,296,491,497,865,932,402,688,101,434,723,461,487,794,049,373,
448,465,635,909,520,082,853,365,546,807,029,843,877,520,110,301,591,537,488,
083,823,915,698,354,895,424,381,654,810,311,415,680,111,258,530,708,154,776,
328,073,221,988,317,762,356,294,555,657,528,456,376,835,705,076,102,104,095,
523,641,412,607,912,800,994,017,665,482,414,609,573,359,577,444,238,803,177,
666,586,655,771,732,727,493,212,091,334,533,694,841,006,830,512,369,445,581,
555,515,199,808,571,513,031,008,499,018,795,229,778,710,891,769,780,721,709,
512,901,109,454,674,359,914,221,129,173,566,705,838,809,411,876,578,900,855,
179,894,094,193,584,143,329,549,197,216,706,411,387,786,551,394,892,564,294,
129,234,886,181,898,714,392,424,250,916,933,460,906,354,345,195,871,607,763,
832,825,433,357,197,748,638,586,214,590,546,202,424,300,975,866,886,255,786,
781,857,309,674,184,150,041,293,656,718,168,452,385,610,462,567,511,172,571,
986,996,126,219,835,584,056,678,611,672,543,535,269,026,857,490,596,757,212,
137,531,360,841,942,360,906,770,603,325,200,787,617,558,519,377,650,605,199,
191,798,475,963,653,041,881,881,083,272,990,112,120,604,434,820,507,650,159,
588,828,436,310,426,502,671,879,093,739,345,851,800,481,427,703,993,255,419,
002,666,159,451,229,371,353,915,814,701,262,559,946,407,550,751,197,164,445,
889,176,582,726,860,239,680,280,378,972,598,630,710,602,390,847,251,298,075,
020,759,359,074,941,177,231,123,291,687,866,894,293,845,988,152,463,264,264,
859,377,235,163,646,679,031,183,805,343,686,815,695,393,396,872,777,156,717,
799,026,124,254,130,583,149,521,222,031,587,043,381,003,842,557,572,935,730,
163,684,616,593,585,748,714,045,263,517,561,301,832,740,464,951,237,027,445,
060,442,889,306,547,763,305,645,661,225,645,698,516,454,502,111,241,494,218,
784,158,551,692,243,273,259,195,429,805,667,586,674,535,360,610,721,335,950,
825,613,974,240,030,230,301,741,952,155,137,938,492,461,040,151,400,792,646,
618,053,122,195,501,429,833,034,020,027,613,408,540,751,610,263,003,292,876,
362,598,661,486,960,145,553,578,547,233,397,515,771,455,300,253,776,388,225,
748,021,568,821,485,499,890,631,308,789,738,395,640,780,313,299,250,140,168,
257,604,806,329,460,379,200,921,085,068,792,502,864,247,825,525,113,008,190,
320,234,961,870,251,713,617,870,729,997,452,365,485,192,457,077,194,891,238,
660,181,446,272,172,607,456,750,004,362,101,026,768,131,701,144,123,504,382,
631,271,433,780,029,432,491,418,017,938,692,212,334,095,164,685,818,503,136,
239,188,661,156,543,123,382,646,063,955,427,735,024,745,724,021,506,630,084,
843,831,405,411,711,812,353,884,839,889,700,472,718,903,756,648,946,883,657,
238,470,303,516,773,519,493,601,132,093,649,887,408,845,095,687,943,428,432,
478,858,316,983,039,797,149,010,041,760,552,644,407,108,022,978,779,225,025,
436,947,821,186,320,500,651,386,605,564,300,626,905,832,730,843,360,492,474,
210,654,770,518,392,233,567,043,550,623,276,972,489,710,988,381,595,869,455,
680,295,769,020,928,772,248,190,447,349,213,431,726,104,547,274,183,516,678,
673,248,398,404,750,952,093,286,278,588,077,988,956,749,406,230,558,745,425,
751,306,131,032,020,488,780,932,951,546,396,256,644,362,884,456,140,823,867,
423,900,314,388,749,549,395,995,859,348,303,593,189,978,563,796,982,608,796,
051,841,633,892,762,426,521,391,860,106,699,212,725,632,324,530,006,062,327,
332,011,417,168,325,123,023,496,257,813,683,616,155,259,933,289,685,233,434,
198,799,497,748,383,830,050,127,397,101,263,662,929,661,093,434,545,792,406,
745,757,331,812,036,000,976,627,709,864,227,911,254,208,088,141,894,425,362,
244,580,591,085,419,099,375,297,078,622,069,796,859,494,509,541,898,959,795,
289,733,637,692,040,038,406,459,231,622,668,815,959,230,170,789,014,164,560,
164,857,611,528,251,181,424,089,991,853,597,624,894,652,256,466,338,097,286,
341,086,268,829,225,303,260,008,652,764,689,041,185,935,013,763,292,161,564,
524,845,329,495,944,734,960,363,690,725,961,133,271,519,279,311,795,269,541,
839,889,265,255,959,084,789,231,757,191,380,851,280,830,047,095,203,275,230,
765,461,997,847,242,348,784,887,635,705,938,528,221,232,459,075,103,168,903,
113,255,458,250,258,012,415,031,642,067,597,501,797,235,040,319,533,745,937,
510,499,737,230,562,724,490,588,303,415,967,708,431,457,091,158,990,137,864,
842,089,032,135,232,323,624,624,943,153,262,568,237,328,218,868,802,334,378,
994,171,508,946,865,358,859,056,707,368,142,505,288,899,440,578,983,897,493,
839,563,274,530,435,306,688,912,130,807,945,321,038,583,266,505,797,147,021,
741,836,347,622,824,092,880,911,207,100,932,092,507,113,026,443,559,370,771,
767,547,915,617,149,898,601,992,982,284,659,376,850,692,145,251,533,387,999,
130,896,457,522,084,215,067,087,576,146,134,837,808,712,118,719,797,669,658,
027,606,066,639,542,504,985,333,556,331,290,669,076,743,760,430,396,220,453,
483,070,254,991,548,575,894,681,682,579,966,117,343,514,415,955,068,623,915,
776,202,824,055,869,885,555,501,422,862,180,302,926,026,298,504,589,076,824,
526,521,241,044,951,868,232,488,300,366,260,268,678,300,682,609,748,386,199,
244,751,900,176,130,618,407,371,238,184,389,461,976,950,932,497,692,540,391,
422,400,016,874,880,096,583,049,397,261,654,399,717,029,449,106,635,005,693,
718,879,158,201,567,920,717,240,237,613,317,585,950,882,452,734,253,438,219,
355,429,372,681,871,308,251,646,092,756,073,783,222,978,369,627,186,958,560,
250,780,399,981,882,005,089,298,669,187,227,424,419,244,489,491,393,523,692,
873,256,796,081,119,475,476,086,064,143,965,547,337,920,413,854,626,860,030,
217,041,574,910,509,377,192,929,428,553,417,027,977,495,354,247,884,414,357,
858,911,303,627,221,262,672,103,075,994,677,057,110,834,817,227,292,886,966,
411,766,457,638,595,783,675,209,868,813,166,421,558,057,765,811,899,790,455,
180,852,658,734,463,217,295,582,259,174,817,604,785,211,172,761,893,188,551,
240,363,718,615,450,014,580,248,224,791,965,092,621,895,973,846,459,521,850,
619,208,919,409,735,221,074,960,544,014,019,496,226,299,894,235,508,873,824,
985,146,834,682,056,471,255,129,267,188,920,408,561,649,292,432,110,829,916,
232,212,759,293,168,701,672,841,969,381,571,153,522,034,135,370,899,991,768,
501,420,470,826,533,325,537,922,686,562,453,026,865,745,897,588,888,431,396,
681,657,883,152,781,583,194,401,688,784,656,506,406,975,681,232,731,434,713,
045,905,188,731,342,732,004,089,181,327,284,561,964,809,641,796,669,497,445,
464,417,772,328,074,000,586,298,897,194,711,606,000,513,164,395,541,998,612,
165,006,143,067,663,704,522,662,531,914,750,798,373,316,641,216,837,614,472,
794,628,576,060,885,047,163,873,992,454,450,316,613,352,047,242,066,780,807,
213,681,427,451,894,139,542,342,509,837,151,672,464,803,755,484,062,739,633,
389,415,842,001,326,481,943,411,540,529,115,836,720,452,787,103,180,554,880,
202,662,929,770,130,220,053,559,475,760,905,614,333,744,010,998,506,544,773,
178,264,698,496,647,948,474,739,310,414,226,694,405,089,381,854,510,529,645,
388,009,202,960,728,065,020,372,137,858,880,452,464,268,157,371,733,935,081,
449,549,758,828,213,348,125,420,122,880,046,654,486,053,493,915,953,894,012,
806,126,668,789,853,865,896,227,503,910,359,081,821,404,768,306,257,737,570,
876,596,449,694,744,598,138,763,499,394,267,920,732,487,309,174,289,198,850,
962,932,777,135,834,946,633,707,109,691,680,124,721,386,206,742,255,499,495,
437,763,320,085,017,680,210,398,721,137,859,629,399,870,637,033,749,087,120,
709,453,498,793,866,629,887,544,790,893,056,253,702,626,250,478,254,898,767,
990,055,774,208,836,664,365,711,716,968,408,192,188,582,241,163,643,301,114,
265,168,530,486,682,585,126,762,520,603,366,778,528,360,149,593,754,253,371,
030,045,365,564,478,117,871,603,204,113,153,279,679,855,683,897,759,925,204,
880,708,971,745,744,798,911,003,845,519,356,002,994,307,716,262,143,501,381,
291,217,770,674,157,873,387,946,208,038,364,991,369,075,062,147,293,691,782,
362,504,439,521,055,374,253,493,447,149,047,324,782,262,466,582,880,763,838,
116,682,859,850,755,336,078,005,523,016,831,323,280,107,964,940,427,778,746,
415,291,712,339,128,550,058,502,934,424,218,648,015,260,543,254,283,486,476,
642,837,618,970,922,027,202,631,325,545,334,465,978,555,235,259,745,134,267,
413,533,304,664,911,563,979,375,926,688,243,124,924,691,451,428,813,744,743,
127,738,022,144,025,387,753,994,191,778,139,457,106,140,194,726,858,267,439,
238,400,074,118,262,468,359,761,370,381,074,932,318,772,714,657,439,527,220,
892,387,002,577,554,387,101,348,393,631,661,750,842,893,806,532,685,694,449,
197,095,838,600,199,203,356,468,134,083,438,571,320,010,701,747,757,082,938,
260,934,725,096,587,963,076,553,890,640,836,882,303,858,784,183,977,702,801,
296,727,241,327,814,795,985,605,950,714,051,738,700,083,233,867,724,137,675,
261,136,704,958,811,123,433,124,841,206,637,104,677,609,267,129,053,963,623,
827,824,190,139,726,964,113,865,729,245,897,642,783,055,118,555,281,987,170,
071,449,752,125,510,434,699,328,764,653,239,049,697,285,240,280,137,377,557,
310,147,260,083,756,133,777,287,438,974,305,498,321,366,027,557,912,620,139,
196,519,751,840,782,493,243,053,214,172,634,593,136,035,774,713,395,460,297,
806,865,751,353,243,511,846,142,462,304,258,570,943,570,560,738,395,137,444,
690,978,856,308,097,657,530,051,151,993,360,324,838,148,856,160,661,495,930,
578,775,758,383,914,517,455,909,185,416,000,858,871,768,459,015,049,163,728,
205,961,205,084,345,936,926,919,706,108,916,935,990,898,506,747,126,604,658,
684,881,715,199,661,717,147,839,724,518,995,809,409,405,080,448,519,326,364,
090,199,295,410,350,976,178,565,881,888,409,545,702,303,875,420,815,206,769,
214,406,156,436,068,131,180,180,795,203,147,321,004,707,466,516,759,783,993,
148,117,509,436,899,205,100,235,898,868,823,761,666,805,311,419,920,749,484,
693,468,194,200,008,420,253,767,101,761,173,773,115,340,952,966,139,471,921,
861,201,228,563,785,089,442,778,994,085,969,262,318,124,910,643,582,849,341,
770,309,476,955,751,476,575,531,434,625,972,599,121,552,414,131,739,458,859,
876,927,427,911,218,199,423,472,922,808,516,690,916,193,384,459,160,593,998,
136,223,712,308,708,090,306,790,819,768,049,278,290,573,175,942,588,515,565,
860,724,586,850,327,664,070,773,506,237,085,072,497,488,491,840,322,961,774,
494,705,433,229,878,553,157,021,409,179,187,482,046,544,942,762,348,192,405,
010,202,729,908,655,214,744,146,895,436,270,989,191,938,289,973,896,734,827,
122,289,435,319,017,252,869,748,190,887,359,480,180,994,281,658,971,520,561,
956,578,517,347,761,897,513,684,817,413,248,763,770,176,205,180,345,552,851,
043,594,605,160,813,848,066,531,559,874,329,712,849,066,366,105,863,296,627,
020,929,300,670,241,068,879,803,123,889,853,497,428,292,850,372,343,273,649,
113,961,348,848,495,230,198,514,837,871,323,001,996,876,630,210,307,617,540,
826,332,830,829,149,369,117,559,418,832,052,073,630,517,124,441,669,096,972,
051,200,930,572,890,963,077,644,669,510,174,952,078,386,128,980,351,882,448,
025,315,775,312,545,879,778,106,992,936,935,969,687,266,980,518,280,859,959,
677,282,862,435,961,624,664,574,626,933,878,392,977,721,022,700,892,987,720,
514,142,569,574,318,017,119,604,802,202,746,462,499,291,681,188,521,025,336,
150,408,328,143,117,381,570,470,924,277,328,391,551,620,826,490,964,162,404,
303,721,285,642,760,368,649,101,689,512,545,740,090,573,285,634,872,381,245,
959,905,515,087,623,832,958,306,394,654,436,225,652,066,946,515,746,364,524,
582,746,611,237,089,297,320,645,705,194,603,597,427,966,570,549,242,509,120,
810,936,077,771,271,511,174,879,277,104,451,901,882,775,124,319,175,226,634,
553,835,664,588,260,734,429,214,117,874,470,671,818,451,729,596,781,842,196,
870,374,585,243,450,825,559,666,061,484,912,116,565,953,685,678,390,118,223,
639,293,626,661,316,845,085,579,243,570,699,310,261,282,216,447,758,448,127,
221,844,308,125,558,202,868,243,558,203,032,545,350,233,604,637,191,398,724,
659,069,213,157,808,932,787,029,204,578,302,821,871,712,551,176,295,885,405,
896,173,991,477,369,991,981,643,232,985,952,297,002,283,677,710,153,657,021,
777,498,429,250,895,366,940,675,772,167,457,663,354,048,591,853,345,405,187,
507,915,856,544,382,087,832,587,849,411,323,891,648,101,810,968,393,122,773,
405,659,879,899,028,677,882,941,560,282,659,595,205,760,828,573,371,220,068,
041,757,160,901,558,659,414,748,149,038,391,632,224,725,900,784,977,970,416,
574,820,089,358,314,843,419,277,615,460,830,734,102,868,432,290,861,263,890,
275,380,919,522,764,345,703,373,474,325,637,218,385,736,239,861,704,769,709,
906,347,916,615,668,081,351,881,677,957,221,201,160,771,782,214,167,726,089,
957,177,027,622,475,318,449,296,048,398,308,687,284,890,588,656,959,216,060,
647,252,586,183,301,381,890,080,080,081,502,627,038,674,193,094,076,720,799,
610,191,769,528,291,632,440,575,569,755,890,616,563,091,428,642,475,240,462,
600,544,446,352,480,802,526,245,705,739,240,939,360,397,567,589,889,583,347,
802,806,078,008,081,619,013,805,859,113,462,175,962,561,721,593,449,617,379,
480,490,534,117,440,162,069,607,612,614,101,533,639,353,187,962,820,841,173,
623,590,972,307,088,579,758,490,939,209,806,465,859,328,035,036,751,119,549,
366,371,335,276,694,204,319,057,088,472,177,428,173,208,682,996,070,675,324,
830,223,551,075,976,837,472,138,275,191,054,054,949,259,773,106,659,644,283,
140,126,967,551,932,193,402,122,480,639,925,344,484,329,177,928,149,042,184,
687,585,152,580,151,314,641,207,261,918,804,398,421,633,239,686,540,239,160,
503,942,121,166,379,602,309,352,996,122,933,724,390,246,720,760,573,112,810,
941,533,966,143,399,407,591,666,915,372,196,727,988,620,204,266,401,816,445,
566,901,580,883,173,217,843,932,252,703,663,568,060,210,197,042,610,102,067,
249,412,172,478,328,660,672,896,833,535,120,915,959,205,056,471,454,570,596,
670,419,248,651,880,095,094,886,593,207,706,811,137,154,887,115,727,247,826,
156,168,813,260,989,589,641,297,387,664,324,004,835,720,574,380,217,960,036,
360,749,404,034,543,200,920,692,860,250,189,872,068,173,079,335,597,981,975,
063,862,431,453,693,767,500,810,892,419,104,130,171,363,505,444,638,299,685,
052,598,536,338,539,392,615,664,818,927,549,519,264,182,107,757,267,227,402,
010,562,492,949,329,125,610,238,635,585,303,796,384,538,318,116,803,497,971,
622,181,423,738,920,632,827,045,854,372,704,959,284,153,091,666,757,249,140,
227,124,588,044,033,132,974,102,922,810,788,775,671,674,314,326,158,881,890,
682,327,733,820,349,092,441,095,385,769,135,278,059,844,237,711,378,965,512,
277,021,444,839,112,086,446,973,893,343,308,039,608,751,286,640,426,500,252,
629,018,965,066,009,624,478,964,672,371,620,310,169,778,232,724,642,131,677,
810,097,756,390,332,398,205,630,233,439,624,620,661,316,850,906,090,263,325,
007,976,020,766,499,961,356,435,224,601,976,344,191,097,840,963,564,786,885,
925,843,586,946,475,747,038,951,671,738,556,942,292,686,536,909,559,405,233,
567,674,144,984,402,272,435,878,548,961,181,448,346,979,546,076,323,172,482,
437,013,061,455,813,161,770,407,223,308,851,263,897,238,703,598,230,981,464,
807,595,991,251,581,284,259,491,761,610,399,484,873,182,445,183,174,265,453,
069,801,019,156,782,055,303,638,189,751,434,628,697,801,956,026,736,912,221,
188,836,017,289,157,388,148,934,256,381,273,226,645,566,452,215,782,258,528,
288,691,720,151,352,448,530,787,808,277,327,904,865,668,902,959,180,480,256,
470,415,148,975,643,059,329,917,427,140,355,399,740,332,401,765,073,079,275,
134,327,855,843,164,088,132,726,502,156,025,890,891,669,927,821,990,205,823,
641,844,204,612,017,198,192,501,733,136,921,607,917,035,541,824,040,004,726,
687,346,352,634,369,778,352,973,767,203,378,615,234,460,681,891,152,402,916,
073,740,181,940,954,966,712,343,462,908,149,065,689,997,417,061,947,886,917,
640,174,647,442,002,056,038,539,945,019,591,239,355,249,678,127,720,058,340,
981,122,749,728,127,302,974,456,325,196,999,936,828,463,673,689,775,225,207,
117,999,213,748,299,141,885,621,578,157,382,565,993,381,724,852,767,144,653,
465,030,315,297,705,249,542,080,241,436,153,574,516,915,253,540,267,602,640,
708,320,210,968,704,589,200,966,365,990,922,048,261,505,456,101,726,396,262,
298,979,859,441,204,110,028,098,406,556,178,960,014,784,077,656,467,007,452,
025,035,939,392,219,791,748,910,711,518,946,028,896,947,550,751,075,557,194,
306,998,291,944,609,123,994,470,925,284,359,529,492,895,132,591,480,822,138,
839,663,849,061,286,789,134,558,171,185,237,990,803,255,109,178,926,462,385,
653,498,879,412,442,411,309,602,292,565,674,935,994,323,773,913,818,703,738,
287,278,768,642,546,525,354,243,829,299,662,276,125,632,301,179,998,103,425,
288,807,194,263,676,402,633,528,673,096,107,506,343,267,847,991,010,077,371,
998,981,318,706,135,125,445,688,955,089,066,352,674,640,370,144,873,328,405,
867,246,110,891,571,035,538,970,983,186,798,286,162,206,123,395,817,085,730,
915,785,376,666,676,522,989,995,652,575,436,079,454,866,632,576,362,297,280,
172,859,804,332,295,808,414,662,874,926,281,469,019,543,212,105,506,863,802,
652,811,866,049,744,956,198,536,151,753,511,015,687,434,794,672,522,102,602,
780,286,689,851,037,751,176,377,439,974,815,728,409,136,700,877,174,523,147,
103,787,551,854,312,525,585,377,568,392,008,657,045,965,132,030,696,639,515,
828,099,156,033,761,417,441,115,872,374,593,741,781,577,691,833,035,677,712,
789,890,819,894,616,073,949,889,146,398,225,718,099,302,612,505,222,847,670,
713,543,984,951,323,579,138,988,989,501,624,854,641,634,314,765,542,273,763,
455,647,590,025,050,324,321,791,065,881,842,874,933,005,983,673,931,543,847,
211,213,052,893,040,166,110,329,254,684,170,361,075,847,594,071,948,833,455,
892,943,911,981,466,121,481,566,266,172,924,671,825,452,066,081,409,028,346,
621,439,457,445,108,962,701,400,003,331,619,246,615,456,445,058,339,270,226,
946,974,467,036,925,831,313,648,306,203,004,702,890,097,731,013,132,115,835,
520,325,237,673,251,358,336,443,939,214,213,729,369,098,474,668,082,097,486,
865,112,181,706,888,712,225,886,038,139,700,264,743,722,601,422,861,317,313,
351,556,126,940,844,723,737,743,372,818,475,531,952,843,421,813,406,927,697,
813,102,130,448,039,808,255,541,505,136,097,049,337,034,609,630,705,609,914,
555,826,133,308,910,517,867,750,789,654,314,693,061,899,878,477,409,012,120,
987,412,272,112,370,292,635,224,072,577,902,379,018,001,412,777,386,659,291,
343,791,474,221,779,133,528,005,715,440,427,724,290,261,827,426,153,861,325,
978,087,582,410,910,337,976,278,156,367,084,830,905,910,172,741,617,830,851,
796,513,988,702,442,188,838,214,342,264,830,180,608,527,152,417,249,738,754,
860,426,780,068,776,660,325,270,030,533,379,750,219,058,003,463,292,624,029,
136,497,511,586,512,849,003,091,872,691,516,239,541,644,124,873,371,031,960,
120,972,150,736,780,542,333,756,614,035,854,110,492,873,388,311,053,447,940,
132,904,212,464,787,263,694,766,652,436,073,951,082,051,915,650,743,124,916,
521,367,333,245,332,205,978,368,853,613,432,687,480,751,422,185,177,093,029,
179,902,835,753,004,651,284,703,443,485,259,927,771,482,468,264,349,545,048,
649,176,843,363,230,686,685,076,404,590,219,279,781,691,395,151,229,311,634,
667,428,701,136,173,856,104,993,273,552,680,924,781,839,946,789,399,068,665,
027,283,406,899,635,160,232,051,761,700,941,361,760,515,368,879,103,304,966,
615,936,896,437,701,380,365,552,414,195,942,155,605,202,474,235,065,513,666,
186,927,163,771,945,707,566,071,616,005,451,061,517,668,007,476,621,806,526,
997,392,112,511,121,462,481,534,472,311,820,918,481,308,250,454,331,447,393,
011,927,262,294,110,481,790,176,345,175,946,696,262,146,130,382,942,635,427,
614,886,350,603,375,732,007,703,750,385,647,106,416,311,485,247,475,865,251,
443,440,852,706,049,831,934,250,312,411,312,589,005,796,963,547,206,221,824,
049,169,889,802,840,786,745,225,912,189,987,221,929,627,583,200,567,931,482,
139,151,875,958,627,635,169,989,644,163,037,966,368,667,521,383,808,409,840,
173,593,183,506,459,688,123,300,933,201,172,076,529,227,892,556,568,243,443,
823,647,781,428,392,766,366,787,275,132,020,922,716,315,952,146,500,450,902,
581,795,508,657,500,629,091,428,896,012,971,563,137,121,315,496,745,319,608,
638,096,296,257,116,582,897,757,506,675,020,440,571,116,883,591,532,721,678,
031,277,113,444,174,303,487,155,597,043,689,138,674,188,799,437,282,618,616,
649,600,864,262,657,762,306,537,479,604,342,935,350,909,646,149,478,585,110,
198,227,666,409,405,120,488,379,356,210,968,026,952,703,036,787,356,483,825,
274,927,153,563,042,922,425,593,487,475,987,555,952,926,434,010,393,433,073,
241,393,629,444,553,174,165,169,524,717,701,396,639,756,715,031,771,120,804,
572,929,997,160,460,762,275,496,658,692,165,288,139,418,708,460,471,371,147,
240,825,237,124,690,097,946,590,752,270,556,719,182,761,051,707,904,354,824,
832,110,289,955,154,737,620,353,907,183,015,546,503,970,972,516,262,632,417,
729,227,009,095,434,362,421,184,188,783,658,811,938,582,868,997,081,298,476,
488,699,416,977,031,144,989,620,284,371,844,964,666,489,335,721,953,168,709,
883,637,892,579,686,542,380,497,556,057,743,408,873,110,357,447,945,883,915,
980,009,039,086,222,070,093,760,457,082,843,682,589,596,588,472,556,693,167,
080,292,161,127,492,439,263,125,497,748,222,888,854,958,570,055,550,199,787,
693,713,794,576,353,653,122,737,122,647,164,123,610,862,615,753,627,175,344,
948,006,932,090,391,952,810,258,673,040,493,611,391,597,838,224,158,558,809,
465,449,060,692,241,245,190,012,370,604,581,476,607,860,086,871,701,572,844,
109,794,296,292,652,809,815,235,595,423,573,823,809,118,838,962,415,305,689,
697,692,423,188,626,647,959,494,457,477,957,235,366,766,406,610,704,745,107,
823,931,466,317,085,745,169,289,412,873,731,461,841,405,279,884,827,843,059,
589,619,253,328,317,877,658,142,381,944,435,891,876,660,178,321,111,522,209,
532,849,003,391,090,369,494,829,565,035,331,650,204,496,428,031,474,547,529,
214,622,900,807,579,404,925,848,564,889,101,994,661,548,103,258,847,169,708,
018,230,693,486,617,971,030,085,496,109,618,484,857,988,279,901,768,113,546,
234,763,164,170,494,854,526,288,792,633,923,466,157,647,950,370,099,041,932,
272,976,803,083,975,023,889,080,579,387,547,160,694,035,034,817,477,553,359,
574,390,909,960,366,100,917,906,332,940,995,969,640,690,376,085,399,312,780,
875,607,444,688,553,018,799,930,737,407,520,920,070,548,828,670,683,423,488,
993,148,419,880,483,853,632,522,790,969,807,629,534,962,971,701,535,714,564,
359,209,290,719,943,209,231,711,523,943,892,893,615,213,439,374,914,820,816,
507,832,017,621,645,556,012,666,742,109,802,583,106,497,460,434,404,665,987,
694,024,802,691,063,166,440,765,741,529,167,301,082,147,067,831,579,237,182,
468,006,526,646,993,453,905,688,066,341,240,368,171,700,482,712,568,850,729,
577,884,379,537,799,711,927,507,313,017,465,606,483,534,036,290,820,128,043,
980,156,816,285,007,461,451,072,192,054,761,689,628,820,417,613,455,868,981,
183,531,657,928,129,524,361,901,240,975,474,458,315,740,889,621,313,361,539,
075,900,090,726,458,151,988,794,480,897,198,591,536,088,056,380,110,359,016,
774,665,008,032,562,151,708,039,142,767,298,289,327,850,365,126,955,075,790,
964,803,296,093,178,124,420,415,643,844,108,150,013,946,000,987,057,260,460,
078,168,663,721,586,634,771,269,752,606,106,915,664,265,454,121,775,519,262,
399,172,357,390,637,646,517,947,518,572,705,523,866,774,328,985,208,159,010,
383,897,518,343,761,398,298,458,193,808,912,917,132,055,108,855,611,249,187,
542,976,260,594,465,394,796,073,974,751,864,963,516,794,866,719,376,016,504,
067,266,501,083,558,591,665,995,785,248,832,534,690,516,337,983,766,343,955,
449,845,019,453,036,493,473,501,910,234,535,520,297,241,715,988,803,525,373,
023,405,667,782,718,732,184,141,504,221,354,525,393,387,946,524,935,452,219,
341,557,857,980,981,573,308,320,341,082,380,804,846,345,496,120,033,972,780,
940,286,141,443,614,251,114,872,365,092,823,978,064,451,256,225,243,295,317,
581,700,603,179,324,864,800,634,510,266,650,373,546,509,437,852,952,028,669,
627,443,638,436,794,307,172,639,911,129,121,634,095,262,199,895,177,331,216,
758,345,528,085,645,896,480,258,456,386,573,351,495,618,767,577,740,778,668,
804,403,246,867,857,048,090,802,077,631,902,456,526,304,513,962,626,055,077,
312,502,253,494,103,037,468,332,319,186,122,400,770,098,782,796,879,663,718,
160,058,034,507,684,227,543,787,242,596,086,028,614,067,623,274,523,312,812,
976,862,100,609,599,792,212,170,205,306,067,766,677,172,313,980,610,923,754,
640,731,577,934,982,672,034,259,844,340,778,096,720,411,093,682,428,152,052,
060,436,736,356,742,949,781,337,035,033,837,661,355,206,892,903,830,823,869,
796,642,098,178,102,066,756,738,605,118,254,391,681,125,643,590,229,292,702,
309,838,958,437,851,253,697,326,236,494,917,353,931,746,995,236,979,013,099,
311,669,365,630,624,069,761,727,975,931,610,733,986,969,272,916,914,404,668,
629,954,909,754,073,947,853,499,109,194,528,664,754,446,437,708,226,142,992,
648,802,612,540,187,110,975,851,331,834,972,594,237,678,450,818,492,645,032,
560,874,391,179,605,266,483,775,822,919,105,982,084,549,714,193,561,317,320,
398,440,910,647,753,132,135,123,324,547,115,308,474,491,154,214,559,541,768,
360,694,002,816,618,480,160,734,167,909,796,348,089,751,694,460,341,796,739,
319,815,133,530,493,638,097,211,549,700,594,936,086,301,432,168,467,690,583,
662,027,080,451,223,162,520,605,642,009,999,280,070,393,185,438,164,740,318,
721,825,023,038,483,872,248,067,302,011,653,222,299,920,462,667,739,934,166,
693,859,341,171,157,799,131,363,229,898,717,641,263,977,338,585,850,715,088,
680,243,558,408,799,557,834,374,684,119,897,839,508,956,324,559,296,774,078,
788,312,838,811,842,299,137,034,543,073,609,846,875,970,251,610,727,017,378,
842,259,978,060,091,523,868,553,078,338,122,409,664,114,865,801,923,784,378,
183,010,561,230,143,180,556,549,405,441,314,145,251,008,759,520,706,928,267,
683,491,352,259,769,224,141,087,266,348,311,813,162,926,711,346,577,340,046,
456,695,694,697,037,544,628,190,024,560,612,993,917,338,144,654,318,142,771,
580,588,292,970,190,152,666,779,623,419,947,381,692,560,337,854,379,737,543,
159,588,006,891,117,981,083,470,378,933,688,376,384,362,757,747,362,946,278,
920,334,286,759,116,544,742,140,900,294,453,822,667,608,112,840,048,692,282,
057,538,286,164,935,621,907,231,944,829,357,710,105,857,924,077,808,047,351,
779,466,599,685,902,400,564,651,999,681,350,837,682,101,885,945,735,584,474,
851,385,428,719,171,840,365,995,041,406,711,039,207,205,846,619,233,918,287,
210,435,560,646,673,104,712,179,052,162,952,902,310,360,425,786,857,025,934,
942,861,871,296,499,873,763,998,100,759,226,267,202,161,198,745,499,933,596,
820,083,172,385,408,398,874,842,812,219,515,679,078,652,673,932,982,155,431,
183,080,733,131,847,744,325,766,947,948,326,006,393,824,243,699,385,562,463,
067,437,393,815,042,177,078,190,000,872,478,150,572,930,839,037,092,187,381,
589,365,523,023,290,054,233,720,609,133,615,693,126,785,299,278,854,517,390,
740,176,642,816,041,704,728,175,218,743,261,612,224,079,117,898,501,124,556,
893,814,678,165,299,785,429,732,103,097,350,779,309,981,419,798,270,510,619,
868,234,698,011,418,208,779,841,302,633,119,773,276,453,540,161,460,032,697,
530,444,549,386,877,466,026,355,039,745,605,293,228,808,508,624,571,353,708,
048,703,797,289,241,780,375,038,555,919,211,202,673,768,081,182,459,430,903,
164,843,176,253,884,072,410,465,672,380,259,632,944,429,775,171,615,127,160,
038,665,522,230,136,502,159,770,228,327,227,207,483,965,122,955,552,991,856,
706,116,393,964,155,633,087,817,296,692,575,778,551,326,875,507,423,416,234,
732,507,553,631,103,024,535,815,108,437,810,647,215,100,186,222,936,199,877,
986,813,085,392,618,514,040,744,903,736,729,661,964,785,605,706,267,097,277,
523,493,395,051,185,494,056,607,510,164,262,032,184,872,813,206,513,682,587,
545,506,350,148,136,713,614,226,613,197,541,210,696,877,786,670,643,524,561,
809,377,932,618,583,182,574,050,454,519,134,846,158,416,597,338,628,274,329,
874,876,673,808,428,503,730,750,618,722,733,927,913,440,405,841,624,314,367,
252,652,759,493,063,404,478,584,501,261,043,771,890,134,717,194,499,253,942,
314,287,028,936,044,743,825,770,516,511,165,557,167,047,705,780,249,909,203,
693,517,384,781,842,535,285,254,347,596,453,835,283,753,009,838,807,404,068,
661,421,446,833,428,041,049,752,772,605,203,581,213,019,141,725,778,004,911,
065,906,719,167,815,315,491,973,101,145,302,036,326,622,623,738,924,269,207,
821,844,640,462,970,868,404,182,362,692,461,554,199,882,194,335,414,504,881,
417,385,849,147,156,932,541,303,234,294,697,211,898,995,906,297,530,439,179,
535,620,858,521,070,122,118,710,598,636,138,270,416,060,619,229,278,669,218,
882,797,673,061,193,560,521,307,079,021,944,146,735,645,573,423,286,584,269,
874,818,460,546,988,460,428,608,097,666,759,899,502,205,254,600,394,359,786,
377,613,054,479,062,214,420,747,679,881,287,843,491,908,403,044,971,679,283,
206,378,716,872,568,129,020,348,591,745,139,043,462,283,013,385,159,405,526,
369,687,678,622,592,805,543,969,247,485,128,942,922,382,570,532,894,508,815,
704,539,740,560,012,110,749,223,750,482,901,363,932,036,851,080,515,921,927,
078,006,406,768,773,868,906,342,112,979,756,998,442,688,052,504,148,332,408,
497,569,485,732,017,777,855,696,382,135,079,932,217,430,677,605,225,122,277,
322,668,758,756,531,330,173,506,079,204,142,822,359,598,516,953,563,057,885,
005,489,439,362,617,772,636,611,649,438,655,225,841,883,686,541,757,668,321,
119,206,961,056,093,244,285,794,388,294,732,680,891,422,067,315,051,764,804,
963,897,162,057,233,523,986,646,375,660,760,753,388,922,691,241,501,163,271,
197,958,107,646,031,321,117,848,826,680,514,388,317,331,275,643,860,435,448,
206,082,993,413,901,326,278,119,463,993,261,186,554,454,898,381,717,052,235,
685,125,784,577,144,615,462,135,680,869,831,939,649,191,225,518,958,150,241,
145,679,133,087,326,807,932,128,650,336,839,957,094,354,124,589,426,323,159,
612,231,997,120,230,621,784,680,571,716,766,471,546,029,512,495,333,099,975,
495,194,612,280,023,983,793,370,327,334,891,160,813,472,314,747,720,447,853,
984,360,141,146,016,384,033,457,366,157,123,120,118,091,671,483,100,996,831,
339,031,311,699,789,092,910,396,654,939,204,691,598,437,209,634,485,794,340,
214,337,600,967,812,141,163,938,967,632,272,583,119,091,690,114,086,215,353,
672,270,911,619,917,401,765,228,028,235,943,042,550,254,911,544,214,155,373,
021,527,353,789,271,918,925,476,586,792,240,717,017,135,278,795,568,821,076,
412,769,320,575,998,803,307,784,707,604,046,169,857,319,570,818,508,117,182,
260,986,382,181,079,795,525,480,630,156,455,144,801,343,800,990,803,299,843,
748,775,118,626,397,002,431,272,771,577,748,035,383,894,239,936,580,988,244,
098,510,238,276,628,716,965,398,415,350,042,326,172,429,282,263,996,618,621,
753,876,236,092,163,526,348,076,598,656,786,404,154,229,541,591,918,033,120,
303,177,678,883,885,984,766,281,826,111,752,293,326,665,482,701,909,212,060,
424,590,724,336,602,944,015,215,730,496,445,716,930,615,635,004,220,813,139,
559,335,125,467,239,168,138,871,804,144,352,587,343,159,129,572,224,973,551,
998,697,139,077,137,232,850,241,137,454,624,103,594,307,219,841,229,422,690,
418,586,992,074,220,575,125,210,316,837,074,798,906,471,204,970,082,543,395,
859,971,884,076,185,521,785,736,296,328,092,439,024,495,576,618,181,954,592,
690,078,465,586,831,830,502,115,336,728,589,925,196,000,912,505,576,192,180,
828,444,097,151,369,940,965,657,139,262,330,072,089,737,778,668,068,563,794,
784,792,955,396,301,840,134,318,105,728,165,430,623,406,865,611,046,550,995,
985,840,682,220,043,487,542,200,234,298,973,171,500,298,830,731,633,784,470,
000,215,425,976,819,433,816,236,595,220,121,454,325,608,312,862,683,244,852,
501,978,757,343,408,640,830,607,953,121,126,137,887,354,306,780,771,327,570,
638,826,364,577,724,085,728,467,155,142,021,507,429,902,645,255,264,111,821,
890,799,874,534,583,171,102,086,298,346,738,923,399,404,771,052,580,683,085,
124,672,759,221,412,330,531,559,404,012,054,969,478,583,837,947,381,332,136,
008,284,097,322,345,398,825,164,155,646,413,413,178,377,169,880,787,717,231,
439,108,723,587,193,499,547,745,866,082,379,925,620,702,732,181,449,827,648,
477,508,339,290,433,424,277,394,514,891,097,703,657,600,703,720,155,863,795,
635,298,750,665,758,901,099,146,701,682,700,332,525,313,189,913,308,358,484,
196,638,558,944,852,266,784,215,762,367,205,284,457,250,306,817,681,242,318,
103,617,601,553,815,990,184,413,941,777,304,953,775,264,234,681,358,666,001,
217,164,435,578,225,328,705,330,442,704,881,363,406,303,427,568,062,994,831,
659,638,507,094,769,682,964,164,394,859,977,874,356,687,422,861,765,117,830,
899,499,658,728,373,849,790,278,369,866,797,693,772,812,940,500,706,347,874,
400,059,102,036,316,896,538,233,297,327,048,398,238,188,456,640,202,912,101,
242,752,070,230,952,867,682,424,302,934,235,951,465,985,921,293,761,064,846,
903,309,382,278,476,265,055,733,771,039,581,524,656,445,123,759,913,597,212,
922,397,985,252,489,286,621,631,564,428,095,479,650,269,691,408,177,217,794,
971,384,148,152,387,012,202,722,266,921,305,808,038,268,023,442,091,940,113,
179,132,030,123,789,073,282,954,987,696,706,403,094,039,962,521,750,177,598,
418,893,925,874,099,593,718,054,676,962,326,078,810,984,331,903,878,293,553,
304,215,943,187,664,799,111,668,212,990,919,972,854,795,517,925,202,111,915,
650,636,390,682,760,505,403,786,322,638,614,378,797,898,942,411,800,039,571,
493,351,158,216,802,175,227,737,681,753,270,462,628,982,839,840,348,735,087,
277,676,844,174,464,029,927,369,146,858,092,606,263,700,944,845,925,498,134,
814,271,039,855,751,034,240,478,745,000,802,909,253,181,230,389,786,543,474,
743,392,453,972,756,131,128,656,712,259,695,072,819,896,042,326,315,076,998,
815,850,939,775,409,081,579,983,914,181,843,858,959,312,751,280,190,681,062,
789,715,900,174,058,798,976,312,079,220,423,966,704,398,650,997,048,471,245,
673,781,410,433,138,501,064,854,284,934,785,817,222,678,231,120,978,957,911,
658,755,643,128,877,370,969,626,526,290,083,381,498,917,499,911,323,997,599,
928,672,831,487,250,594,209,758,209,701,176,207,894,886,779,707,334,139,177,
978,301,215,124,506,714,195,622,803,606,822,185,988,912,113,506,627,745,373,
633,777,578,107,118,086,437,434,594,200,226,272,927,150,451,223,693,264,666,
759,144,713,204,793,317,485,381,023,772,149,280,145,639,855,783,001,697,888,
336,518,824,744,782,609,950,744,579,314,367,672,685,269,189,012,854,745,615,
815,628,953,054,003,412,865,776,780,787,615,963,775,757,538,724,045,180,602,
751,695,472,354,356,520,299,941,579,390,784,521,482,825,558,359,346,279,956,
472,719,031,074,313,116,821,494,652,487,733,402,421,772,614,203,221,516,996,
395,913,749,291,141,096,772,796,618,509,712,680,100,736,207,935,932,335,476,
958,785,227,595,966,460,449,545,610,545,452,756,359,451,638,405,806,590,578,
614,084,826,479,024,734,534,631,464,188,213,815,016,701,728,791,093,882,478,
901,286,678,075,109,420,820,105,199,388,165,842,693,562,325,554,251,557,957,
754,769,276,811,056,261,400,742,998,678,341,568,522,707,188,852,622,025,517,
526,936,226,788,969,518,266,299,397,407,249,115,249,487,811,807,302,451,077,
917,023,059,753,348,715,635,650,756,658,923,220,929,630,242,274,721,605,988,
901,449,055,457,459,046,525,427,582,028,256,407,072,489,441,529,178,023,833,
259,663,520,976,380,649,620,488,498,076,963,463,022,609,439,566,263,979,674,
817,088,108,535,014,781,509,473,720,655,121,184,992,045,224,783,142,643,828,
740,892,679,505,719,920,701,168,249,102,655,949,016,079,640,591,931,126,566,
371,403,527,476,516,636,579,316,415,029,906,917,192,812,425,612,528,460,291,
883,218,765,752,520,680,838,517,825,093,682,658,771,131,342,221,474,995,322,
518,573,541,649,947,386,911,951,625,401,804,605,307,296,427,631,496,386,631,
875,939,196,333,622,499,892,011,329,675,234,659,423,537,878,242,723,299,612,
005,629,534,008,105,754,027,850,820,486,194,506,380,791,958,921,997,152,674,
445,962,591,016,138,545,661,527,527,295,390,860,021,625,720,729,224,972,233,
228,245,855,789,858,610,590,614,482,601,319,363,160,326,099,816,399,397,265,
430,794,011,431,440,288,184,909,233,130,813,748,019,313,540,402,226,627,239,
917,110,003,221,210,219,554,453,963,848,204,063,429,623,203,946,629,425,505,
254,891,896,936,450,462,037,552,238,927,723,254,490,450,119,623,610,894,909,
849,458,844,415,581,582,959,359,145,609,825,031,426,906,433,078,553,001,556,
308,305,645,576,114,443,524,443,846,870,922,082,933,127,713,955,925,514,337,
428,281,618,547,225,893,521,375,916,213,791,156,715,950,539,659,475,381,320,
824,648,201,404,192,765,395,096,578,359,444,843,913,201,755,663,894,555,762,
004,080,770,556,648,755,851,817,198,336,735,405,931,177,796,646,947,102,485,
734,278,803,929,711,699,809,025,293,100,651,531,523,642,142,827,746,809,099,
724,966,390,044,788,421,924,157,418,591,978,276,703,158,123,298,295,185,314,
690,409,079,435,955,263,657,042,671,899,995,193,845,418,996,287,181,059,189,
092,261,496,104,783,828,606,528,953,167,216,460,776,997,749,511,792,434,499,
649,975,052,469,318,771,711,985,990,656,392,413,280,561,527,758,623,835,101,
008,879,176,837,829,112,953,351,138,800,701,979,529,097,701,454,590,239,435,
631,719,876,748,706,922,438,273,311,122,925,403,207,329,148,731,091,822,992,
165,399,409,719,550,780,587,950,984,242,078,462,511,239,800,026,641,756,371,
378,081,507,636,572,072,958,442,443,087,477,995,332,217,985,295,291,603,539,
263,638,939,301,143,487,401,339,204,298,094,371,699,834,981,990,817,366,737,
489,144,286,289,316,300,516,677,464,053,535,318,071,912,699,565,682,569,824,
749,620,464,345,483,491,966,350,893,517,612,212,039,474,517,264,330,062,226,
099,064,515,515,714,921,081,394,098,722,583,436,306,357,212,174,349,856,911,
668,981,151,269,427,548,721,616,889,301,701,740,611,435,694,063,714,322,915,
396,136,413,610,062,369,223,409,976,559,636,567,026,153,504,548,939,100,956,
541,024,505,888,303,341,983,004,318,915,013,324,522,381,044,132,524,123,290,
521,885,467,856,815,378,534,187,109,635,811,610,809,096,034,866,491,582,118,
766,575,451,331,599,508,887,691,187,214,805,592,216,840,697,136,386,913,237,
804,831,032,041,594,639,424,571,274,546,450,763,327,449,498,913,167,256,122,
645,136,129,752,954,160,863,237,391,622,473,709,486,945,442,798,724,388,032,
020,385,022,640,315,474,713,157,688,055,329,451,006,280,861,599,110,531,324,
737,718,735,752,080,606,339,310,317,401,377,305,162,851,236,445,454,186,639,
042,533,132,505,455,861,281,493,782,996,974,007,805,940,304,013,104,416,956,
026,809,774,326,723,475,279,988,611,773,065,165,279,898,404,274,658,991,492,
139,551,385,230,863,836,985,271,729,881,729,511,474,516,355,017,847,234,871,
492,611,713,935,982,289,473,107,810,324,990,459,903,171,156,152,698,009,866,
311,641,633,266,790,047,201,376,400,828,350,797,103,597,330,844,397,880,490,
680,426,875,063,802,383,073,440,824,712,401,749,750,888,643,973,594,198,471,
033,333,751,940,659,810,894,590,516,701,759,165,302,738,241,220,508,471,053,
631,994,513,302,292,937,075,079,376,417,756,812,806,122,765,273,553,517,001,
135,008,894,966,140,244,371,994,029,916,560,240,261,437,415,715,770,227,557,
734,283,381,941,147,394,615,758,374,024,748,827,598,951,611,085,676,695,939,
306,013,933,408,963,965,384,058,617,166,664,326,943,297,045,619,935,866,456,
335,887,509,592,474,071,000,121,958,300,779,754,800,618,514,695,886,238,824,
824,549,902,681,149,505,458,400,209,303,752,910,094,308,338,557,649,952,866,
994,688,828,939,530,690,037,401,749,512,150,851,396,224,031,464,174,625,904,
550,800,224,211,529,764,095,943,272,293,739,731,183,383,026,521,915,776,088,
241,737,574,373,119,311,304,116,094,324,253,282,795,161,501,196,400,109,806,
118,628,510,007,518,475,530,681,979,787,163,359,635,549,975,405,509,818,346,
775,502,159,092,099,323,437,452,732,013,751,994,984,991,982,918,647,479,622,
055,912,177,184,886,501,448,189,284,484,094,569,359,621,013,376,828,268,410,
110,251,434,585,762,930,948,184,644,099,229,543,200,312,557,691,841,930,119,
798,820,434,800,465,230,561,437,921,270,503,291,655,534,732,009,672,473,188,
074,300,363,516,629,793,770,661,877,970,867,933,229,352,214,102,173,338,441,
229,866,175,592,178,037,997,287,864,287,341,367,789,229,654,079,070,998,856,
067,867,451,964,873,548,024,718,844,421,043,674,381,088,848,827,269,085,132,
395,220,855,644,060,040,820,557,674,817,545,328,699,875,611,729,944,442,148,
742,254,475,981,224,422,542,745,711,866,673,642,329,430,245,667,565,057,413,
350,422,057,229,430,151,442,415,463,878,911,010,341,217,504,141,463,851,348,
682,264,896,502,942,199,855,057,782,657,870,331,042,575,686,720,796,850,114,
895,535,726,707,398,987,650,637,245,774,796,547,184,395,564,533,814,790,151,
319,799,484,036,375,867,146,739,587,881,290,164,625,820,347,707,896,983,430,
379,811,332,915,031,822,597,858,101,201,918,645,764,958,674,822,424,971,983,
703,967,076,895,684,910,208,273,440,786,292,478,245,439,554,410,720,409,711,
857,933,439,208,452,091,105,633,236,770,815,670,447,078,986,498,455,133,254,
470,118,788,559,939,848,483,091,621,115,620,411,099,077,325,007,759,936,763,
655,873,603,808,764,069,681,469,838,991,064,979,662,101,514,164,739,760,822,
301,374,188,530,729,579,510,990,930,130,773,391,673,109,589,788,311,389,184,
796,585,613,850,215,978,960,078,536,244,868,291,683,444,708,655,240,898,814,
434,231,563,463,813,546,001,749,389,848,631,042,396,968,292,332,621,932,346,
409,282,619,619,729,427,439,925,683,132,241,698,738,419,916,834,799,818,415,
851,610,272,653,844,437,875,922,132,253,078,085,243,253,531,386,778,210,630,
875,478,281,043,922,867,943,437,385,760,735,097,880,827,222,673,649,349,047,
670,810,766,920,590,884,670,787,840,584,348,721,241,281,384,212,648,755,423,
031,732,385,315,899,717,902,941,277,458,165,485,258,029,885,361,160,981,086,
538,649,775,622,328,081,581,181,856,327,229,539,875,062,277,086,216,969,199,
912,110,036,998,288,641,620,916,659,575,858,613,388,008,692,244,037,808,305,
144,276,250,512,899,122,217,916,694,206,785,407,751,106,359,691,583,416,799,
677,225,177,867,713,985,962,494,756,151,164,126,066,060,856,581,603,118,179,
463,096,935,169,279,593,559,305,186,530,650,261,442,157,207,682,143,289,170,
030,439,683,600,868,080,623,744,754,834,797,989,805,408,504,948,854,127,199,
060,035,550,782,673,254,885,191,896,705,807,766,508,366,856,623,577,992,681,
746,301,794,977,376,437,677,712,678,137,260,266,264,047,191,972,895,660,329,
172,590,677,385,115,089,728,548,016,423,565,746,747,487,930,258,874,056,062,
255,036,294,943,871,140,228,916,433,629,072,629,061,667,495,566,310,961,099,
808,106,551,276,996,603,503,684,839,744,771,616,632,313,528,100,491,031,488,
441,697,991,554,653,357,805,073,233,476,255,547,731,438,971,724,490,864,145,
008,628,306,588,738,330,482,174,379,973,729,304,658,513,699,564,330,621,389,
522,355,507,719,784,340,031,753,763,025,421,555,113,635,813,568,484,345,153,
935,178,617,819,298,475,914,346,087,151,319,177,378,297,574,134,120,841,722,
080,614,829,529,976,190,147,156,544,263,011,038,142,350,918,397,728,404,730,
407,385,952,344,518,902,790,838,859,473,223,951,616,595,762,601,295,230,184,
436,013,348,673,264,269,610,341,737,013,999,249,880,260,360,826,601,947,893,
585,204,200,030,415,733,307,385,708,956,700,700,197,428,148,537,156,493,702,
830,000,379,042,481,263,485,472,533,181,883,188,145,454,039,118,602,316,189,
937,747,198,680,821,096,107,103,944,741,004,482,307,919,538,430,911,701,707,
813,254,890,554,732,413,949,256,384,186,893,354,244,798,814,344,784,506,765,
921,581,655,391,611,339,714,902,930,033,034,159,429,659,149,716,381,704,070,
655,368,471,770,913,430,846,615,031,231,676,704,884,790,926,669,462,803,986,
504,129,308,957,284,523,767,479,281,628,223,650,395,368,063,777,306,279,104,
531,418,447,309,080,923,318,710,242,353,412,244,028,954,716,274,071,890,101,
356,129,294,314,501,441,628,323,085,486,527,696,065,622,137,493,521,949,456,
533,086,264,829,593,205,009,721,779,452,712,080,399,843,345,465,175,659,004,
068,490,789,165,583,342,734,159,427,991,514,331,239,486,899,325,377,248,985,
790,339,173,451,540,749,192,479,996,618,167,914,394,176,321,128,971,471,669,
602,072,315,741,487,342,239,798,385,859,515,943,395,980,351,696,265,846,765,
257,812,347,520,582,948,422,293,802,160,031,905,898,393,849,433,589,571,128,
865,275,414,933,671,645,299,150,447,142,878,884,676,593,144,449,886,549,978,
523,514,393,390,699,828,118,307,461,763,786,257,502,205,489,391,141,266,644,
071,979,436,462,907,266,302,568,978,965,873,503,935,611,944,709,124,859,437,
575,423,137,789,189,209,602,625,000,856,878,283,942,561,200,122,447,811,209,
476,492,960,091,910,538,973,012,455,838,645,617,137,650,115,641,376,564,600,
563,439,537,596,328,734,733,312,755,209,642,921,766,736,914,792,468,894,216,
631,597,882,817,059,309,626,622,090,012,100,868,080,185,542,061,699,992,401,
203,342,881,067,837,581,104,473,891,321,200,773,225,849,839,520,835,617,414,
898,785,236,627,363,106,188,972,998,791,711,886,173,902,294,680,290,487,390,
713,430,690,573,637,326,938,139,788,395,683,871,161,390,221,338,971,288,513,
603,895,463,524,860,140,669,167,566,031,536,848,566,443,141,633,826,498,352,
469,078,466,409,326,597,205,836,149,501,888,075,705,966,050,924,545,153,268,
073,824,803,494,009,371,175,963,623,430,324,272,375,321,386,591,137,909,654,
686,832,383,941,566,875,565,823,008,834,311,297,635,556,943,341,596,625,649,
320,175,445,048,669,946,345,777,936,326,138,118,682,238,719,522,736,207,077,
638,314,725,381,971,163,672,979,562,080,612,803,859,120,516,277,353,274,118,
131,312,267,311,680,889,518,071,328,243,405,609,649,872,668,152,713,679,846,
414,533,848,415,689,680,276,096,859,132,606,534,358,035,219,797,426,174,398,
324,468,929,685,103,442,204,144,203,768,944,438,753,553,039,462,789,446,252,
279,456,294,617,251,919,949,039,502,044,585,075,073,304,990,770,798,707,344,
184,374,014,859,400,029,829,461,234,112,554,740,779,148,178,323,350,593,833,
297,142,399,196,632,732,431,069,533,753,237,966,646,137,506,902,302,270,007,
480,867,897,340,740,579,567,982,138,406,478,734,493,499,396,829,695,909,184,
133,417,366,090,992,074,114,737,202,837,928,858,629,966,718,801,289,506,642,
338,888,308,840,269,420,570,421,916,648,173,017,033,185,089,139,415,984,722,
594,547,668,899,587,376,616,904,605,380,500,290,063,624,799,316,041,519,856,
261,344,674,139,488,346,396,458,731,998,648,923,444,338,200,248,575,894,167,
258,018,368,159,720,140,291,570,025,032,691,908,515,267,696,214,662,985,403,
826,824,444,381,717,794,769,791,745,748,128,602,832,270,463,781,878,247,475,
675,480,861,838,727,719,192,630,917,075,380,277,909,042,085,258,862,533,684,
863,544,386,382,555,144,094,811,690,300,292,181,307,042,685,465,572,866,243,
581,246,556,691,736,869,317,328,669,190,705,476,948,585,845,592,829,831,350,
098,671,029,369,007,389,649,667,195,604,705,468,906,645,484,429,185,772,508,
948,126,326,846,023,447,043,717,558,111,764,844,167,381,722,926,562,242,482,
371,130,289,118,891,133,659,975,121,030,938,556,408,772,636,723,844,083,765,
501,790,667,068,930,793,131,195,958,019,325,857,284,805,406,405,000,883,047,
857,443,726,374,822,635,381,968,653,520,142,859,420,175,356,197,692,461,234,
938,840,870,264,296,450,891,714,739,966,399,893,178,799,369,640,527,926,567,
858,643,991,110,493,642,122,088,673,255,040,362,322,538,000,323,559,981,292,
256,802,020,755,225,139,832,228,844,833,132,014,578,983,850,988,478,716,024,
095,358,523,654,050,716,321,489,684,092,255,481,177,490,867,778,244,239,240,
221,074,728,292,436,651,985,027,711,165,464,847,263,856,690,357,243,515,192,
833,957,890,823,040,316,891,404,066,098,942,250,779,758,018,873,309,810,229,
125,323,303,787,164,638,207,228,697,265,331,814,242,525,669,844,609,278,166,
495,691,984,781,862,977,623,165,894,336,651,716,453,980,174,077,708,160,325,
114,370,930,458,880,063,602,283,426,942,441,158,896,993,461,833,191,845,583,
709,332,547,849,432,561,358,700,258,551,529,201,368,832,428,869,735,485,060,
067,566,832,341,420,706,529,752,504,226,649,855,986,810,392,123,564,578,079,
267,904,309,993,092,771,440,422,892,346,934,203,055,290,767,086,406,739,388,
773,061,135,741,218,033,334,875,814,917,647,432,841,666,695,533,640,071,847,
917,068,703,899,907,196,291,108,149,718,564,200,301,106,548,448,807,044,966,
526,830,114,801,229,347,253,636,779,143,582,419,074,890,938,582,194,017,241,
545,568,523,631,182,601,184,493,297,052,697,305,909,326,426,816,846,302,157,
711,408,031,457,204,679,864,922,132,552,171,595,846,290,531,349,668,905,688,
030,619,102,785,041,870,095,805,218,352,912,833,477,554,824,618,574,368,426,
892,178,469,624,450,612,727,065,004,845,340,292,944,922,325,201,960,847,546,
202,594,306,304,811,285,233,754,279,886,311,745,204,690,709,803,253,293,119,
741,893,715,319,154,120,882,555,764,317,804,743,098,636,552,445,319,215,287,
687,587,114,686,071,425,335,192,901,594,707,992,755,459,375,412,531,481,988,
371,599,945,655,153,084,954,664,543,870,146,783,982,343,161,511,916,345,594,
129,126,887,081,777,076,579,171,616,624,205,641,629,605,247,641,518,021,505,
193,578,409,881,671,943,639,485,488,611,180,186,665,030,409,559,991,600,237,
017,993,154,806,052,422,992,534,623,038,073,559,376,785,763,722,500,580,990,
299,731,748,648,079,672,065,989,549,900,016,597,257,716,245,051,020,550,702,
923,066,812,024,612,547,290,640,311,959,531,243,523,320,703,004,020,145,063,
417,558,704,578,438,845,677,650,420,898,510,775,055,531,318,243,582,871,509,
560,120,509,343,125,091,064,587,627,163,999,775,770,999,854,763,789,000,565,
407,849,989,299,048,214,197,229,726,121,245,800,345,336,140,742,755,141,358,
251,151,412,969,921,276,041,860,679,894,379,402,331,450,205,541,724,998,724,
640,569,915,270,514,104,590,754,896,395,424,590,768,469,095,957,359,463,318,
386,879,769,828,125,638,486,158,445,315,744,380,649,686,422,153,733,211,634,
064,289,117,364,991,529,880,919,553,226,532,649,226,034,703,937,076,036,112,
295,264,752,439,400,554,606,296,767,768,121,018,127,811,669,688,191,783,937,
145,736,562,552,161,784,591,645,918,758,906,084,274,651,671,580,195,129,538,
274,342,273,073,850,722,821,345,017,867,813,886,706,793,080,118,203,290,562,
528,053,227,629,690,853,593,180,548,389,089,157,588,507,052,522,552,744,867,
113,120,586,441,477,821,278,132,208,354,566,784,808,378,421,865,691,291,502,
189,318,993,578,015,917,704,600,245,041,135,176,986,570,035,891,610,260,722,
663,783,632,150,327,518,893,032,454,438,101,063,261,782,335,587,385,367,877,
196,491,186,733,392,633,337,019,873,956,419,942,646,138,461,606,871,584,879,
054,055,638,128,644,221,488,776,478,956,492,403,745,705,572,503,285,109,923,
984,484,822,549,933,731,461,926,342,510,477,867,380,616,608,626,724,239,434,
008,147,619,897,588,749,399,077,647,869,972,424,614,661,291,380,749,687,061,
571,146,421,655,187,328,990,831,451,447,044,851,293,751,397,654,617,163,054,
596,319,419,128,465,003,556,667,015,409,592,276,816,878,759,711,435,482,006,
649,188,438,528,931,077,235,262,605,260,755,571,989,448,573,817,531,998,498,
588,654,052,469,537,366,422,783,196,869,943,453,766,058,014,541,187,958,639,
273,335,526,948,686,238,629,029,919,521,701,887,359,323,749,385,622,606,599,
485,697,642,421,508,623,272,346,667,731,422,279,009,816,605,424,277,209,639,
199,329,303,030,332,300,537,621,813,033,702,643,685,829,590,991,687,318,070,
483,100,531,896,961,633,279,553,168,573,740,397,222,700,333,145,110,224,037,
260,856,959,050,683,761,339,130,140,049,329,995,540,377,226,495,948,187,753,
911,308,550,444,663,275,543,223,374,862,258,038,472,303,654,616,053,445,370,
693,526,964,368,336,840,689,714,305,087,028,524,411,844,494,487,578,208,371,
196,379,883,755,976,895,853,206,840,850,115,164,867,246,946,086,976,878,192,
030,003,344,133,965,966,922,861,624,765,859,074,721,220,378,029,333,834,936,
439,166,340,782,967,329,486,846,078,807,012,921,044,871,374,513,307,822,367,
818,336,734,095,678,549,814,111,349,046,769,838,445,825,527,179,960,941,981,
951,346,365,344,925,402,889,758,963,851,213,122,700,751,512,939,812,983,271,
364,747,511,217,419,487,908,764,613,896,730,142,805,287,903,708,273,323,799,
214,090,569,525,352,237,438,601,555,689,043,627,470,460,190,667,258,770,312,
304,588,900,859,061,905,950,725,706,234,698,667,423,925,802,322,332,363,764,
931,827,720,031,584,801,347,411,694,406,678,459,942,454,081,094,686,546,544,
946,742,795,275,089,009,185,100,473,764,335,885,501,992,485,357,376,743,971,
184,571,403,232,695,184,556,178,767,921,850,793,091,862,459,504,117,790,418,
250,984,206,191,137,863,116,082,614,394,523,832,937,330,703,012,817,260,252,
913,501,460,240,899,782,503,170,842,871,443,303,692,552,872,144,942,630,874,
616,609,624,796,062,022,709,709,729,544,779,843,624,139,620,349,944,394,077,
139,588,664,516,148,990,949,856,813,490,289,966,761,352,793,399,280,871,242,
483,570,782,056,948,345,247,467,154,352,575,158,444,120,094,397,769,075,130,
006,205,413,723,215,515,283,260,711,201,234,916,440,504,869,408,170,583,481,
863,388,812,018,541,576,126,174,272,635,127,349,542,696,085,118,082,564,142,
700,938,835,036,624,523,953,511,665,824,180,824,469,700,478,463,796,637,990,
772,448,795,142,578,774,058,060,748,970,981,298,429,440,640,940,322,237,063,
551,821,403,895,427,250,988,238,590,466,500,396,873,168,745,548,505,682,469,
518,794,869,639,196,028,492,235,178,907,614,838,364,384,778,051,967,685,287,
720,322,244,058,441,684,783,737,794,976,296,169,415,729,996,008,053,150,847,
791,188,845,663,614,819,213,221,568,783,643,661,871,717,485,227,894,335,343,
628,489,515,096,467,921,894,966,813,941,158,984,767,777,478,561,858,966,454,
889,857,065,481,990,075,382,594,288,881,991,064,494,809,482,334,752,872,352,
407,893,856,064,714,521,052,839,491,934,468,502,069,163,780,430,269,168,159,
648,481,057,786,889,939,372,863,479,970,283,683,679,047,309,503,769,122,524,
721,479,017,276,710,518,824,290,778,069,507,916,701,983,485,832,350,342,645,
903,463,814,746,108,578,429,232,551,762,819,440,750,119,313,949,114,473,324,
940,940,868,683,038,700,961,396,661,911,343,993,710,452,874,824,295,237,608,
209,291,788,480,761,642,597,831,207,748,969,384,970,202,256,074,954,917,535,
766,096,187,373,549,345,538,743,816,516,127,371,171,474,899,175,271,377,201,
728,082,084,908,928,517,150,610,126,911,770,713,715,799,544,640,481,582,413,
079,723,426,171,210,598,228,328,257,305,077,710,534,334,121,604,938,422,370,
250,677,335,731,028,946,903,146,160,810,267,111,919,139,145,140,782,448,460,
088,409,831,499,601,258,916,701,064,870,506,652,677,702,839,293,782,867,277,
812,026,475,871,325,552,790,910,747,563,235,347,961,703,708,339,881,234,367,
363,032,170,177,778,395,788,406,773,520,114,980,633,123,054,130,205,569,540,
300,634,757,254,559,904,204,018,828,141,295,765,201,419,254,836,334,986,745,
387,453,869,680,926,310,151,561,177,094,949,753,929,757,816,540,023,796,537,
076,091,096,898,575,168,241,583,269,146,844,624,323,470,556,875,541,781,715,
774,973,062,131,623,928,532,771,664,260,387,747,925,384,745,826,825,419,087,
571,422,452,768,346,701,863,339,468,166,507,693,951,927,663,100,587,402,209,
541,505,923,100,009,522,422,026,037,478,408,932,092,561,746,224,729,505,826,
561,885,518,619,236,441,532,689,634,067,034,506,451,854,639,010,345,990,972,
263,663,929,657,162,774,471,303,393,342,127,241,834,173,901,162,999,537,483,
729,850,673,058,430,838,157,081,838,948,194,439,817,242,052,172,904,417,808,
149,880,659,453,026,562,404,083,652,519,841,884,548,921,035,925,038,772,139,
233,321,405,495,286,236,867,879,053,861,554,522,196,684,041,325,110,341,074,
867,626,732,811,782,353,705,868,003,292,094,054,615,562,905,553,679,583,191,
930,996,684,140,775,639,938,577,701,121,195,656,916,240,903,803,100,829,349,
806,793,898,290,613,052,083,151,958,750,127,748,119,352,004,515,868,320,883,
767,534,917,479,484,747,793,568,718,626,241,038,521,633,290,957,176,770,548,
131,064,990,227,953,159,663,009,472,349,312,900,141,917,041,597,689,671,456,
064,554,838,091,955,186,774,931,338,162,902,138,979,865,369,026,809,876,821,
588,310,165,280,144,570,895,774,911,790,482,471,313,378,479,294,305,390,811,
165,088,292,979,575,008,571,236,250,685,457,425,735,713,070,251,604,420,775,
928,953,098,117,529,490,443,761,250,809,702,332,197,245,388,593,648,116,605,
671,071,986,729,540,640,009,356,365,938,241,630,053,181,815,659,802,101,194,
289,165,459,531,426,844,974,632,923,189,861,012,894,031,777,215,721,201,572,
251,532,048,280,686,869,898,201,041,341,628,732,138,399,564,052,697,080,663,
596,203,867,842,258,466,667,935,068,495,320,592,677,356,528,170,393,514,881,
335,509,364,695,190,579,602,824,986,953,754,824,604,791,392,868,278,229,141,
610,434,513,910,882,228,604,663,574,779,976,094,365,866,370,387,052,894,261,
434,510,458,897,314,875,583,448,344,785,687,566,017,471,111,161,960,514,960,
523,054,503,146,532,584,021,868,184,617,839,388,504,489,437,488,129,753,269,
937,703,007,207,736,045,315,876,416,768,412,037,426,918,438,991,272,119,191,
147,809,396,974,327,510,520,253,076,537,332,663,796,495,827,861,988,648,748,
579,844,930,378,316,073,083,914,278,218,196,331,334,944,152,979,205,654,871,
340,638,815,823,238,151,819,477,372,934,234,020,737,903,824,669,647,794,804,
847,435,471,025,268,535,415,420,362,411,527,383,883,093,406,872,978,835,264,
548,958,063,424,287,175,289,113,830,080,353,207,608,090,938,998,920,347,446,
757,685,663,558,108,728,187,996,519,913,468,450,593,988,202,565,134,804,262,
810,109,840,878,467,330,395,671,408,986,339,023,959,812,351,179,427,535,368,
080,767,592,528,417,299,113,427,144,948,407,917,400,816,717,598,555,271,834,
181,647,914,139,888,290,896,638,661,865,747,882,737,148,265,344,108,749,092,
437,454,967,753,544,654,697,859,518,948,476,397,689,066,884,852,908,940,701,
410,157,511,202,533,438,401,950,079,905,888,593,359,816,885,976,570,114,789,
012,151,104,349,596,849,097,809,656,980,601,876,378,949,980,529,335,670,131,
353,533,662,020,272,582,662,104,964,854,054,435,116,015,530,529,892,394,271,
153,597,555,327,191,935,728,790,701,893,574,132,876,755,869,771,083,543,907,
136,270,449,426,703,123,761,401,012,437,538,080,818,033,731,693,898,944,226,
981,479,214,048,539,726,145,158,287,364,559,599,033,808,830,041,773,440,391,
865,221,041,217,848,558,249,456,559,156,329,093,078,395,322,947,888,896,534,
112,893,656,278,920,933,205,054,481,854,792,357,361,015,819,014,929,816,983,
942,062,834,546,478,848,975,939,912,679,622,497,984,653,942,983,627,548,028,
998,492,343,372,419,516,316,075,348,055,213,251,959,125,218,812,240,642,034,
607,670,165,032,642,804,058,060,214,939,991,956,705,375,564,822,253,360,911,
252,269,326,580,746,788,131,568,395,125,073,767,544,161,782,456,701,940,210,
943,742,209,634,288,554,246,807,734,812,923,851,177,234,968,306,105,502,763,
777,313,986,639,936,422,453,954,664,240,272,988,431,747,470,091,216,014,077,
835,196,189,402,399,661,098,375,627,421,053,315,521,101,948,248,624,681,841,
157,855,707,879,616,166,498,293,151,649,049,807,879,107,023,975,833,519,126,
854,400,358,128,140,237,161,062,979,831,460,892,125,388,051,449,303,812,290,
045,753,167,983,957,637,012,191,792,247,430,517,747,441,197,211,311,189,007,
771,570,364,627,056,831,969,022,630,396,603,961,356,426,140,422,497,607,013,
629,208,124,648,768,538,146,254,795,698,896,991,362,499,181,227,428,632,257,
469,833,179,145,933,070,722,657,706,723,531,943,478,723,238,032,719,593,219,
726,518,549,571,225,396,816,996,466,534,249,912,882,042,048,911,609,260,602,
118,091,178,680,892,845,246,192,291,967,048,987,244,119,048,728,638,540,224,
012,604,546,546,485,708,418,003,046,795,668,305,384,972,189,371,475,489,273,
480,041,981,048,162,213,319,047,522,635,577,769,635,563,231,104,150,552,190,
160,850,200,671,395,297,160,935,696,101,799,464,572,194,515,290,680,926,287,
177,804,638,265,418,826,670,974,649,741,662,321,760,594,002,381,808,285,413,
333,815,130,506,024,819,387,920,729,815,338,202,011,161,735,200,930,204,770,
917,308,180,949,700,472,631,850,375,209,709,383,748,726,832,268,572,104,291,
129,202,024,355,510,285,265,426,798,783,844,713,263,626,735,349,652,325,725,
150,690,173,848,681,402,796,385,286,782,815,879,678,793,841,251,574,854,105,
115,271,671,208,404,569,487,547,150,469,335,299,688,068,737,076,723,307,844,
548,407,530,464,777,766,174,610,660,913,148,847,711,786,976,803,350,803,425,
749,531,152,840,994,909,077,143,496,846,223,680,021,736,401,250,509,179,330,
628,289,794,343,561,619,622,882,536,767,605,070,333,099,443,503,368,134,288,
231,410,694,267,480,251,105,811,466,674,655,036,800,466,616,140,068,208,810,
603,697,054,520,847,879,866,907,346,636,362,857,767,106,882,815,509,015,246,
130,482,932,437,931,590,113,017,796,185,534,550,663,245,083,488,577,112,785,
673,320,343,006,147,565,387,590,480,121,961,272,458,005,750,270,709,323,323,
004,004,543,271,039,943,879,440,801,163,120,866,587,711,732,342,257,774,119,
706,462,216,208,383,640,011,446,031,292,636,346,471,924,402,195,839,563,892,
570,929,837,269,015,640,015,126,223,051,856,165,554,943,690,653,462,115,104,
502,093,053,645,756,625,844,167,367,990,718,960,391,708,228,890,165,243,582,
782,746,688,765,804,886,341,235,658,466,360,472,223,025,086,178,320,117,712,
456,020,248,924,720,337,518,020,691,688,120,637,377,437,738,171,083,974,575,
529,280,503,038,910,355,649,924,633,346,714,452,662,164,895,447,431,199,370,
928,941,986,295,136,458,430,090,624,283,552,084,686,193,016,140,891,968,073,
728,535,396,840,804,413,190,078,218,773,936,917,492,583,330,008,409,280,966,
920,053,633,379,725,029,548,954,497,807,116,669,125,108,495,290,361,744,708,
354,599,197,232,686,639,969,634,539,243,256,409,404,217,760,297,465,671,432,
829,117,602,917,106,669,541,695,017,058,798,038,896,086,769,175,257,436,303,
050,013,208,134,144,740,097,070,178,960,604,737,891,438,523,734,242,711,720,
771,566,871,287,367,217,803,305,675,675,015,180,587,394,373,816,446,854,635,
355,129,788,322,677,282,674,246,203,898,951,589,603,988,893,355,814,145,926,
512,792,471,229,905,660,015,885,832,546,132,775,886,881,995,672,505,400,987,
543,790,066,609,960,945,684,615,974,978,132,740,286,547,047,694,305,408,466,
441,934,673,633,179,319,450,723,490,177,747,552,141,081,945,145,326,792,420,
185,680,527,852,452,349,613,917,969,656,070,786,267,903,813,231,283,335,563,
291,631,096,596,168,295,054,633,215,207,413,886,640,689,098,272,452,982,898,
590,230,483,961,803,463,723,009,948,808,211,927,804,750,255,351,765,120,054,
278,250,573,767,650,248,371,242,326,941,460,063,036,577,024,542,849,312,095,
799,981,669,877,148,318,223,770,039,729,849,373,399,187,087,759,693,493,872,
788,488,053,431,733,970,149,589,677,192,130,622,786,848,712,511,036,631,804,
143,577,073,163,594,929,819,980,541,122,789,609,849,527,019,099,296,236,147,
036,852,814,316,791,319,076,656,805,104,916,211,259,861,650,698,254,426,866,
619,538,713,021,149,417,452,075,143,578,173,897,170,348,088,132,682,944,733,
051,351,361,937,914,688,543,002,115,606,172,954,540,531,366,994,270,068,096,
295,736,495,401,212,202,285,484,598,434,892,602,368,096,339,128,863,529,756,
876,011,416,458,731,149,641,265,312,803,290,361,812,004,192,125,394,288,114,
809,417,272,621,776,671,244,738,236,228,711,522,442,193,460,076,626,008,221,
408,195,440,284,635,488,008,304,380,316,505,043,417,584,515,654,534,356,787,
324,277,218,938,899,367,973,380,602,348,265,857,816,596,890,213,579,662,263,
808,405,744,704,790,150,502,345,724,774,708,757,572,177,772,680,452,676,045,
045,670,479,397,524,919,693,717,156,737,517,654,631,182,354,527,758,720,973,
987,256,161,044,804,487,689,240,320,985,982,805,816,865,788,158,373,637,352,
809,638,184,564,497,260,961,427,070,104,917,926,957,058,546,933,180,521,273,
046,244,403,914,973,876,447,502,423,707,485,164,568,697,105,399,038,052,841,
734,442,598,755,460,216,380,171,400,721,340,713,720,027,362,722,618,734,464,
664,653,149,176,710,787,461,634,187,547,732,036,238,097,209,876,845,646,560,
664,552,844,481,223,106,964,727,349,927,435,302,760,750,479,877,700,607,537,
348,424,735,118,249,950,416,900,406,287,020,535,863,923,107,793,822,042,344,
672,182,375,169,533,548,971,939,492,455,062,036,530,224,327,292,740,746,373,
698,937,640,641,064,450,292,091,065,242,090,015,289,128,885,291,920,441,290,
221,629,179,841,665,397,565,128,723,111,466,575,285,870,722,501,486,932,451,
235,640,595,825,520,138,894,065,511,527,206,978,311,531,379,306,380,853,690,
149,532,770,592,987,953,245,721,657,957,214,374,752,487,136,955,557,839,208,
388,296,515,455,088,306,778,820,089,905,982,695,428,473,319,206,891,596,285,
434,056,149,445,004,990,978,239,367,986,398,748,414,007,494,546,773,973,329,
724,585,530,951,369,882,349,122,314,995,431,065,209,788,538,144,599,135,751,
650,147,897,612,176,592,758,766,885,471,965,446,926,215,029,151,891,408,436,
830,097,995,237,411,769,914,908,249,050,681,538,932,889,161,692,664,062,095,
710,686,477,971,568,833,550,995,978,593,459,315,561,903,880,633,328,715,536,
300,465,941,015,045,483,399,293,618,378,821,075,349,713,290,256,827,894,494,
611,149,581,579,963,554,184,832,914,089,688,292,321,170,676,864,865,752,883,
490,420,578,230,940,381,512,176,481,009,017,950,578,569,541,689,803,536,832,
943,329,748,018,794,149,240,244,150,890,830,266,331,395,802,641,362,419,950,
869,297,080,233,918,080,922,683,754,284,743,591,883,650,018,529,245,559,168,
161,976,736,318,016,054,350,142,094,620,637,241,764,609,186,947,545,112,042,
450,221,744,649,940,820,397,991,734,375,058,393,506,098,625,382,954,553,655,
661,154,154,736,934,456,560,793,450,440,318,488,052,096,274,594,859,987,620,
823,618,073,722,257,615,995,201,403,718,761,804,820,280,108,944,361,892,617,
999,509,475,985,141,262,843,778,637,326,762,463,030,427,080,237,107,677,242,
682,263,145,808,757,989,775,826,252,255,419,235,704,831,128,710,888,813,249,
606,379,153,903,274,645,464,370,099,922,508,784,356,506,323,390,341,012,878,
994,210,638,584,893,253,549,330,386,765,996,620,567,136,913,127,427,971,850,
815,969,119,398,010,832,206,537,093,225,341,698,562,820,760,159,889,396,237,
009,720,447,270,383,035,272,878,304,269,744,218,482,305,505,211,540,924,312,
930,080,528,629,728,232,148,356,240,228,854,003,739,306,324,645,905,478,299,
307,369,475,615,275,461,082,944,119,386,346,931,520,163,156,036,880,584,898,
383,642,221,391,712,662,303,164,762,921,189,106,585,711,368,994,109,210,434,
019,232,121,322,095,979,777,169,527,131,779,851,765,639,871,470,662,939,875,
296,063,195,041,392,150,278,627,283,404,294,396,166,799,630,041,674,090,750,
960,187,839,671,791,383,197,286,596,136,056,472,770,183,312,511,214,016,314,
743,471,070,886,855,488,789,928,142,556,534,099,024,119,604,230,878,655,487,
951,992,834,344,162,424,845,633,732,399,759,882,379,101,972,657,355,084,076,
866,475,359,122,524,138,112,899,282,331,845,958,794,456,790,299,703,681,824,
769,538,114,201,485,276,171,906,097,262,592,709,383,032,908,313,723,730,589,
894,359,094,348,121,535,290,035,667,127,543,233,579,809,298,157,684,817,236,
568,448,678,019,554,719,671,965,684,626,502,024,054,621,550,839,173,338,813,
436,476,878,228,276,146,954,419,928,679,828,042,501,325,710,101,331,678,682,
180,684,048,482,211,132,577,487,177,483,025,776,777,066,308,238,917,535,036,
828,263,304,722,585,100,831,019,686,953,395,794,349,711,644,782,608,695,704,
269,669,798,149,815,940,209,087,412,746,301,965,131,896,829,644,066,531,389,
063,117,853,820,096,719,399,790,157,895,279,762,645,778,018,103,951,137,168,
507,385,153,955,244,900,637,468,308,137,176,124,099,779,308,602,980,632,839,
801,349,998,817,602,723,465,401,894,522,986,753,294,167,464,297,709,426,485,
938,609,487,839,640,899,603,702,879,929,948,268,409,903,135,064,065,404,146,
157,768,163,985,542,562,631,238,217,966,523,703,685,079,241,239,858,603,350,
805,781,918,011,662,529,756,455,280,534,396,090,845,286,564,771,659,182,518,
701,472,028,336,712,043,336,988,040,515,589,713,669,992,799,916,376,636,906,
261,947,282,361,132,059,658,170,144,415,103,993,817,546,723,520,922,098,433,
314,146,086,119,768,683,537,680,680,510,829,118,850,217,016,114,423,648,366,
911,408,075,540,783,945,547,255,499,437,990,946,425,437,427,420,060,969,260,
853,003,463,593,391,234,281,858,646,840,286,672,324,062,713,597,633,166,565,
459,077,736,699,390,060,016,524,740,637,832,028,636,287,807,317,974,320,443,
420,055,828,681,632,029,718,069,927,690,799,248,500,966,903,613,356,555,111,
782,741,785,639,566,311,581,310,049,216,988,616,781,600,282,583,549,291,336,
652,638,886,624,920,031,044,720,376,215,354,797,444,730,061,889,102,248,860,
713,854,940,738,384,861,734,929,690,667,244,893,227,270,656,141,642,128,739,
194,945,196,479,283,469,350,041,544,758,201,366,695,633,133,836,016,515,779,
408,764,878,051,133,515,361,185,942,514,871,853,388,518,724,077,400,096,112,
008,022,590,003,870,096,063,950,836,207,085,873,073,132,362,451,825,705,321,
068,316,199,151,411,600,551,486,099,503,227,946,147,606,822,452,691,171,507,
413,699,806,687,428,230,560,512,400,638,832,868,414,047,590,936,501,374,306,
025,296,670,624,864,232,560,294,928,798,433,561,495,345,288,853,355,862,018,
594,871,029,379,441,710,836,558,243,030,743,057,837,825,166,953,370,561,355,
268,997,612,774,254,109,664,208,753,291,085,150,521,637,857,335,458,137,053,
988,183,039,241,462,192,464,336,833,103,174,537,940,108,342,378,759,351,513,
788,801,912,494,568,993,476,217,998,282,196,891,625,775,101,828,732,935,007,
808,351,635,643,005,325,029,095,868,316,486,539,754,330,887,592,889,534,423,
385,915,765,246,142,511,415,816,490,034,237,015,630,652,497,655,332,862,990,
521,232,036,610,629,178,372,559,415,914,613,999,102,045,219,178,574,935,064,
466,017,682,946,003,141,772,019,725,414,176,137,884,817,335,204,300,057,390,
112,677,593,984,846,374,674,417,588,422,026,397,471,549,603,061,395,730,668,
350,539,578,260,613,304,228,123,578,209,322,755,619,687,127,140,776,318,265,
057,662,158,270,403,621,737,809,029,640,641,300,234,843,938,151,500,929,985,
789,425,320,642,705,764,639,592,618,021,933,121,084,467,452,261,966,330,723,
350,900,145,237,009,108,391,111,950,258,075,943,671,256,181,206,938,715,211,
900,825,793,309,279,217,813,154,698,443,379,948,396,090,822,788,885,993,653,
931,327,944,319,044,570,923,890,463,448,002,671,696,595,193,869,477,474,329,
566,270,363,546,172,709,149,407,376,686,177,904,016,852,049,222,515,518,262,
039,747,672,473,417,055,185,431,550,914,211,319,926,806,172,559,308,233,684,
589,344,046,156,883,860,657,464,969,996,899,821,448,875,305,993,359,976,782,
894,690,691,181,121,133,251,267,809,017,273,924,690,845,236,822,449,962,150,
270,375,535,416,999,914,031,598,848,210,467,428,267,450,556,897,450,640,330,
569,684,773,415,472,019,176,679,791,440,192,601,142,122,361,328,066,899,695,
497,800,030,853,157,793,204,133,743,813,873,775,900,205,024,340,883,385,874,
969,899,652,164,820,424,914,376,942,464,905,953,140,080,432,493,591,844,142,
209,225,154,638,804,363,959,437,750,322,973,825,887,881,109,158,110,539,096,
317,995,374,740,714,475,029,545,600,054,154,067,240,000,049,513,213,767,494,
326,611,652,388,375,695,809,751,468,284,854,888,136,525,056,685,242,907,362,
269,953,294,947,647,917,053,706,035,999,492,356,610,930,847,843,441,053,847,
806,515,263,049,527,571,967,783,166,598,798,695,657,899,852,175,790,766,608,
149,912,426,144,642,050,142,369,307,366,670,342,208,215,973,349,460,913,060,
202,568,789,800,998,840,339,187,921,296,906,783,304,033,062,354,156,594,821,
636,574,389,536,364,954,208,719,873,764,200,319,759,431,716,695,260,075,383,
872,002,497,744,496,088,664,407,017,967,209,178,444,155,210,007,981,761,888,
178,092,275,333,328,216,324,222,118,469,344,359,799,116,378,603,205,748,328,
679,043,824,566,394,361,529,376,639,779,711,032,149,631,045,476,693,500,456,
507,197,601,841,707,269,271,566,557,465,629,950,503,344,257,605,946,213,926,
208,565,016,999,523,334,267,430,374,641,456,982,145,889,287,980,769,309,791,
910,370,491,711,628,740,687,390,217,852,096,539,073,116,210,349,884,181,591,
661,388,302,635,765,086,927,113,885,530,699,111,588,458,003,602,998,633,821,
213,810,166,040,033,955,534,013,055,561,087,962,220,697,497,988,210,858,108,
186,564,589,081,757,563,277,655,347,106,054,215,901,031,016,884,140,012,370,
889,557,681,689,607,117,923,189,109,928,939,701,903,690,033,355,499,677,842,
738,808,383,856,987,468,205,908,694,375,459,162,407,504,153,520,179,575,950,
824,095,343,551,389,160,672,957,760,746,614,508,390,367,098,412,947,547,018,
893,328,949,995,309,858,624,009,047,975,545,906,694,731,981,691,085,294,033,
465,222,770,263,497,996,608,585,893,051,088,071,323,693,842,854,852,095,581,
368,574,645,675,185,084,206,485,052,058,274,217,693,100,827,982,685,821,374,
362,934,247,557,339,190,242,032,595,967,005,060,286,042,270,405,802,491,308,
330,971,742,333,372,335,537,732,877,719,619,460,316,820,189,064,935,202,547,
796,543,299,856,576,051,575,630,648,500,523,081,725,271,153,360,319,852,630,
428,859,850,152,897,796,374,228,488,071,906,451,689,761,972,086,181,880,906,
400,098,696,505,320,175,594,279,536,705,531,360,097,899,919,445,841,842,626,
558,577,844,366,968,477,835,769,950,252,173,073,586,637,463,556,719,242,259,
210,230,190,977,611,326,307,073,415,925,277,382,813,010,371,872,426,178,687,
331,913,133,491,377,983,406,746,060,046,683,984,820,620,147,131,680,946,541,
279,795,284,843,927,315,918,694,133,088,636,425,009,649,066,630,566,302,097,
850,157,990,027,975,306,373,988,227,663,611,756,048,304,833,060,909,391,144,
769,029,857,203,830,109,247,173,331,348,001,702,712,139,816,384,966,603,320,
223,985,342,920,828,371,693,785,961,489,401,584,854,374,261,513,333,879,666,
399,346,011,274,120,932,848,338,209,370,622,971,743,547,312,661,615,231,914,
090,831,001,820,854,584,735,778,467,348,423,970,554,166,568,577,638,588,592,
052,456,445,491,320,356,716,975,134,097,269,049,255,091,237,653,115,242,575,
107,843,868,961,852,050,863,560,688,296,778,168,235,181,545,606,622,017,054,
158,900,453,659,306,858,053,719,345,748,478,154,915,076,475,294,694,001,602,
639,131,670,982,920,928,511,941,657,003,991,935,292,616,971,501,123,283,684,
483,491,117,246,068,628,608,226,946,269,664,790,449,696,400,001,414,488,131,
268,885,815,505,298,888,830,511,621,231,661,521,152,567,581,730,683,863,714,
022,861,318,272,644,964,056,785,253,787,983,802,296,670,200,297,760,391,228,
266,741,159,343,038,257,972,225,213,815,178,421,370,518,831,211,675,316,821,
132,975,430,578,314,490,382,695,847,534,430,050,696,508,091,522,603,096,387,
117,443,468,031,650,289,205,108,628,716,818,086,590,412,857,269,532,818,272,
065,306,652,416,515,822,459,856,993,160,032,178,592,795,800,019,615,251,332,
295,397,283,500,916,669,666,090,413,870,864,952,181,887,549,546,967,418,487,
796,757,506,018,145,716,683,516,237,805,713,369,900,126,113,972,881,937,227,
955,474,549,676,130,298,761,350,469,582,362,103,679,860,876,107,648,752,041,
468,284,757,525,616,941,838,788,540,827,218,811,560,530,894,822,097,075,890,
076,554,034,002,180,310,767,557,856,418,484,930,037,041,580,511,244,810,626,
385,705,093,440,681,588,373,534,251,086,628,074,517,236,067,889,075,563,132,
045,890,571,463,649,497,275,479,809,294,019,405,624,866,787,065,687,708,505,
687,383,772,534,478,372,975,447,222,213,565,855,262,570,012,078,925,695,551,
427,113,438,701,000,864,677,486,280,918,781,862,136,165,682,771,313,981,573,
165,567,367,009,345,742,094,492,435,880,287,140,245,002,948,054,121,466,165,
176,695,600,761,644,789,238,960,522,981,024,485,129,394,044,505,911,078,825,
620,778,637,813,498,358,477,741,094,887,274,486,709,076,943,491,647,227,479,
640,211,137,845,833,659,161,758,971,964,295,505,693,369,133,993,025,662,141,
256,280,392,712,557,419,318,437,130,208,930,167,051,877,282,577,448,544,206,
682,759,492,855,004,438,419,324,891,470,001,698,929,949,616,209,629,947,507,
294,901,502,550,641,484,500,187,412,414,411,774,859,046,268,786,472,665,870,
827,342,339,190,416,079,159,809,970,644,621,367,034,530,642,961,347,807,957,
816,725,006,467,287,218,820,676,005,550,969,325,211,819,422,001,245,848,906,
559,431,951,439,573,357,380,052,193,323,518,444,794,947,908,233,689,290,030,
111,892,502,360,811,250,316,056,311,607,922,755,811,646,386,382,211,177,129,
556,382,121,413,998,934,342,121,304,331,567,651,053,976,223,159,351,726,969,
078,214,543,046,471,069,723,320,494,385,688,034,499,418,037,464,965,884,829,
586,023,989,259,434,640,863,388,985,532,000,682,993,205,510,250,318,436,438,
682,537,283,300,497,522,142,628,235,951,383,933,120,088,204,979,801,789,686,
397,801,056,079,131,150,083,453,789,793,302,578,431,780,893,227,180,764,818,
601,118,617,176,795,179,729,188,843,104,391,182,816,162,633,632,791,620,589,
995,775,120,508,121,712,622,395,565,373,719,714,290,705,386,092,120,022,041,
665,574,897,787,798,270,547,120,083,815,432,729,892,743,112,739,026,083,896,
885,397,199,208,888,974,249,560,784,859,507,664,762,860,259,433,792,878,678,
453,898,262,492,867,616,508,557,850,585,013,102,117,146,238,800,222,476,387,
330,027,431,292,221,550,777,943,197,877,447,828,049,670,829,473,332,781,032,
128,316,113,641,732,207,504,462,892,369,285,552,838,840,249,131,188,801,819,
902,450,972,130,708,238,167,576,413,424,099,361,937,197,047,117,913,546,758,
793,645,763,103,758,452,679,893,142,308,945,946,173,654,590,605,131,269,847,
057,310,495,079,510,308,867,204,225,698,693,132,729,156,918,560,553,074,512,
841,149,166,736,540,152,819,578,522,669,634,199,031,305,274,957,752,314,888,
497,036,958,702,241,839,661,901,267,546,862,522,363,289,934,327,279,296,872,
113,617,679,853,614,861,193,944,727,670,305,616,639,846,337,238,280,474,505,
633,474,297,517,586,692,370,265,814,428,013,382,283,443,462,504,614,951,158,
704,074,205,451,432,696,854,516,138,243,793,311,938,434,367,699,977,240,728,
021,031,321,871,971,995,134,577,875,327,249,409,641,373,010,089,397,189,856,
188,726,796,070,124,455,095,788,242,912,619,583,804,494,357,887,653,569,966,
103,463,682,026,649,619,922,145,624,001,074,101,689,022,188,312,373,736,539,
961,704,941,348,948,862,402,887,539,057,508,369,063,348,610,874,159,948,355,
393,906,178,367,894,467,568,625,104,924,569,843,066,466,718,488,540,338,773,
751,596,055,175,744,546,520,916,376,383,173,501,358,279,303,335,186,139,663,
396,650,168,134,556,085,415,918,240,068,582,528,814,635,332,177,533,688,143,
625,358,960,511,160,378,858,850,736,687,680,242,417,107,927,892,100,605,436,
891,455,312,234,169,263,016,823,098,205,352,226,262,928,288,419,802,264,059,
076,013,460,833,819,265,847,103,201,081,944,595,664,878,447,016,805,465,316,
141,209,148,188,174,572,686,819,378,666,918,704,760,713,666,018,755,107,134,
194,195,280,966,405,487,363,725,782,816,691,332,557,188,420,917,779,000,828,
948,394,007,845,834,783,028,150,170,108,378,706,148,173,433,433,840,798,044,
468,063,450,502,277,064,706,701,541,348,384,608,619,646,370,458,716,606,296,
415,964,863,840,321,283,170,867,457,408,298,652,813,039,150,811,167,717,090,
219,165,038,813,411,952,193,342,797,967,441,022,381,354,977,654,016,253,853,
634,882,059,546,496,309,836,492,208,483,578,637,079,753,780,597,672,243,888,
614,338,223,165,424,339,617,115,280,537,380,646,081,522,016,442,877,177,690,
274,388,822,086,703,546,499,952,145,096,221,145,012,630,050,194,592,304,148,
706,861,664,230,569,337,788,119,433,668,641,671,740,070,844,152,292,527,241,
809,462,980,846,397,044,765,710,612,658,155,639,802,013,193,742,201,017,270,
543,848,359,233,933,575,513,978,468,188,410,302,563,003,109,295,658,033,696,
891,480,657,030,228,084,563,334,381,677,820,719,758,901,011,807,372,880,322,
443,200,255,076,234,564,490,454,661,355,217,134,575,440,195,043,798,530,788,
855,844,681,730,444,061,333,050,071,904,976,072,743,404,013,516,516,578,035,
402,121,947,393,569,378,199,037,725,912,987,669,457,666,136,216,512,077,401,
340,020,992,476,789,451,855,637,557,849,822,252,171,479,120,446,529,358,384,
177,595,954,121,552,731,495,341,610,975,854,891,035,706,972,328,871,560,799,
367,771,996,486,002,805,434,892,958,540,041,637,576,600,940,011,127,198,455,
143,797,283,967,272,086,850,404,432,721,529,175,952,760,287,573,361,446,831,
671,040,090,698,036,090,720,524,440,626,133,615,914,924,743,438,518,224,567,
185,536,759,916,924,467,471,358,465,264,764,594,102,598,170,644,710,889,547,
365,989,723,587,020,053,871,675,284,188,192,432,422,949,739,861,851,330,522,
708,560,049,453,595,730,691,150,168,546,143,260,342,413,261,776,374,189,669,
878,453,661,592,529,231,837,198,722,275,716,778,340,808,638,437,313,923,757,
631,080,066,009,573,835,273,023,591,322,334,736,955,001,989,306,026,416,974,
667,094,416,197,598,519,374,715,977,048,793,933,413,789,107,528,824,428,938,
109,143,993,362,072,075,899,837,369,411,610,882,853,964,049,266,684,789,680,
457,556,099,409,693,731,294,346,823,260,479,090,190,766,715,046,841,214,616,
437,768,824,081,377,454,799,882,518,538,328,080,725,141,375,517,763,416,904,
135,807,342,719,819,246,989,937,903,439,161,802,295,909,220,519,043,106,186,
211,241,313,968,083,027,232,368,867,674,489,359,074,407,581,333,203,692,719,
026,373,464,118,160,737,291,452,981,065,673,180,705,222,133,042,904,996,487,
710,226,306,836,406,255,615,794,457,384,853,595,876,579,455,242,847,843,149,
422,696,455,967,330,083,629,172,193,380,489,599,706,652,000,756,161,043,751,
298,534,781,346,154,335,930,104,985,492,722,421,038,752,480,541,545,803,623,
090,338,090,932,367,175,227,562,042,208,411,319,939,259,662,155,962,914,820,
848,530,177,855,232,664,145,620,067,959,063,971,281,710,241,957,241,387,458,
777,837,088,648,116,057,164,018,173,988,671,267,446,942,436,226,837,122,732,
060,185,033,596,989,084,230,072,985,700,893,812,004,927,027,504,251,373,312,
710,806,447,019,835,231,429,759,060,328,959,299,507,146,599,597,765,822,166,
826,879,350,834,874,264,625,418,843,726,344,436,433,220,860,476,852,721,922,
815,758,501,285,107,388,647,813,801,859,148,077,091,669,767,164,595,232,556,
337,687,849,226,431,547,307,051,518,854,759,123,616,314,215,089,364,996,763,
097,772,939,055,433,592,657,084,942,035,692,967,630,653,502,021,373,303,718,
340,255,138,568,737,171,826,132,033,820,760,747,212,259,616,183,522,729,778,
650,800,962,785,209,199,152,645,746,558,452,802,309,910,154,725,896,685,297,
494,990,989,439,922,338,919,897,652,935,050,755,065,790,718,350,397,083,819,
291,372,974,176,096,276,987,359,139,994,705,734,466,844,207,636,471,755,597,
553,274,840,011,111,875,817,066,130,697,260,110,107,982,604,088,557,847,561,
579,293,592,173,430,520,098,633,684,313,072,574,310,601,693,985,058,557,702,
162,777,477,312,253,479,733,253,190,770,052,026,334,925,847,363,928,686,821,
609,868,742,704,050,752,871,314,494,045,709,902,591,594,120,918,211,600,830,
237,523,538,269,159,004,318,248,417,044,963,435,993,405,235,639,504,149,291,
022,148,921,388,110,140,838,710,239,563,616,877,340,767,268,465,312,338,840,
030,550,965,664,067,160,927,308,797,197,937,104,150,849,265,098,797,848,890,
060,166,492,271,860,338,261,931,669,752,610,534,810,170,775,426,309,166,829,
711,785,822,942,227,718,981,953,515,119,554,709,043,775,398,026,671,491,043,
152,860,051,070,261,103,970,168,023,324,217,983,232,884,262,867,276,994,407,
070,107,408,064,519,746,164,591,044,884,491,695,837,427,148,118,254,114,029,
763,753,836,509,788,186,233,174,073,210,308,689,958,175,028,888,916,267,234,
432,903,995,445,272,004,914,052,910,919,430,123,978,519,429,947,291,132,394,
311,019,771,416,042,445,220,226,578,950,413,879,402,299,894,386,314,533,404,
454,534,562,230,501,717,033,716,125,396,450,138,743,770,149,036,317,454,798,
630,769,846,199,738,530,831,269,232,671,514,336,521,772,903,956,788,445,049,
331,266,819,032,969,857,133,295,032,296,253,209,473,340,923,934,339,827,851,
554,867,944,503,937,039,734,800,969,531,620,677,549,851,630,643,245,997,076,
832,051,387,163,155,286,983,084,467,403,251,108,226,191,803,554,029,701,648,
801,209,973,746,047,275,673,660,740,241,497,607,822,441,166,822,388,010,817,
985,908,371,027,592,547,412,268,533,221,847,903,392,027,821,639,996,596,756,
526,900,098,509,428,090,400,895,268,315,070,879,459,177,747,994,219,017,678,
512,868,519,485,777,166,384,001,279,744,182,097,913,020,548,767,088,092,027,
502,808,476,976,473,026,066,545,995,545,860,878,551,774,644,794,369,529,488,
668,086,174,693,291,344,577,771,438,753,857,915,001,277,831,444,475,159,790,
782,582,414,981,741,958,988,757,185,561,022,763,865,537,563,641,302,190,681,
907,579,735,096,964,323,195,841,694,064,199,547,311,014,344,474,297,365,086,
489,971,103,627,605,646,297,796,216,091,027,224,078,895,444,261,168,863,941,
590,779,300,313,659,103,403,155,508,073,123,367,921,004,030,044,605,688,118,
376,592,294,323,768,713,865,543,463,279,209,961,107,299,233,925,860,825,671,
720,805,225,396,218,323,263,800,244,993,486,250,775,503,824,191,702,545,168,
113,627,854,044,002,647,956,810,481,023,823,786,004,489,068,445,039,287,684,
916,304,072,302,565,921,266,469,705,514,776,376,438,717,365,560,367,561,550,
568,935,022,456,396,933,241,499,787,776,712,180,118,481,745,680,141,240,649,
051,303,209,388,321,355,489,500,369,496,805,260,212,501,784,152,316,668,801,
391,645,097,484,704,232,763,125,370,201,497,169,396,215,236,321,825,061,899,
137,853,147,814,973,163,849,840,772,340,014,679,906,436,546,550,784,258,492,
886,582,224,189,806,272,256,232,492,458,131,897,653,419,063,878,930,296,060,
760,703,508,182,793,963,445,766,848,067,554,455,917,640,146,113,242,345,839,
744,323,776,186,755,494,333,899,412,085,353,290,416,680,580,216,987,519,220,
346,261,469,615,985,192,510,982,541,504,791,812,159,682,184,665,403,683,751,
953,882,642,370,652,329,910,868,275,905,165,877,093,479,311,784,797,050,974,
406,475,261,588,466,776,035,748,420,861,946,907,478,378,188,688,735,588,743,
669,302,364,507,456,016,463,085,377,168,630,155,261,614,093,347,275,028,807,
072,947,039,333,466,555,293,329,121,631,225,379,651,666,510,979,070,845,028,
108,308,529,795,903,194,744,831,259,876,816,236,123,700,096,299,065,303,148,
402,521,444,372,123,634,919,880,867,317,636,056,093,780,118,094,705,322,857,
288,129,858,594,957,830,585,557,348,460,597,680,339,918,065,605,530,086,753,
676,833,154,857,832,610,841,851,466,519,959,157,776,819,490,268,183,053,536,
521,107,132,405,192,623,977,448,936,897,317,406,443,659,229,572,185,605,351,
509,810,626,227,635,331,051,959,322,233,793,984,507,082,206,022,854,103,831,
314,028,268,284,937,227,039,281,079,827,901,302,408,021,129,404,812,381,816,
011,326,497,260,354,584,283,747,788,264,827,499,313,999,364,117,559,606,647,
309,529,387,505,040,248,705,895,059,736,083,518,287,622,806,579,136,080,448,
679,812,577,205,139,219,045,687,238,385,852,158,580,515,005,257,069,643,094,
759,062,796,708,137,950,527,810,281,526,163,010,556,027,672,698,613,340,281,
859,273,713,928,621,868,925,838,493,953,249,242,928,765,527,521,010,970,229,
566,357,148,823,835,433,716,971,416,454,598,185,657,335,653,318,425,093,978,
046,050,578,636,810,426,031,188,755,039,515,093,945,118,782,540,168,205,811,
436,699,906,575,557,049,801,434,707,016,969,043,034,059,672,122,929,412,435,
260,017,395,869,424,933,884,841,713,874,611,133,177,124,871,439,551,025,965,
910,959,113,994,452,247,519,309,168,229,850,477,384,209,025,440,590,430,094,
889,124,900,695,949,210,356,025,442,863,062,315,696,970,119,616,327,654,484,
804,547,782,771,247,661,189,917,438,326,970,031,802,369,213,763,088,544,560,
573,604,612,181,162,039,530,611,179,042,442,340,958,826,014,884,933,887,905,
713,100,215,659,807,768,911,906,850,116,896,742,921,400,314,735,640,993,192,
399,689,024,449,135,081,127,353,184,285,363,767,713,609,677,349,764,837,615,
206,568,114,894,222,194,733,227,925,928,332,775,665,938,628,711,706,874,361,
349,058,775,298,865,026,195,528,764,737,544,693,946,592,673,615,467,566,650,
899,830,436,129,261,068,583,212,262,525,145,955,481,594,120,473,727,765,321,
558,900,297,676,152,717,971,571,055,420,017,379,294,023,724,016,450,461,841,
874,075,697,678,604,433,097,713,069,570,772,313,106,246,601,835,220,642,292,
541,986,306,781,047,314,659,957,528,871,661,801,801,049,953,004,443,567,129,
029,998,585,321,556,517,117,986,801,729,384,111,473,885,563,842,033,396,148,
754,105,622,932,843,237,608,229,922,979,630,527,015,886,310,287,819,207,777,
374,508,801,822,629,747,754,898,226,249,862,894,821,242,737,015,317,090,078,
098,965,005,775,867,339,907,573,266,944,082,517,430,936,078,274,012,570,553,
518,181,404,025,056,358,260,714,538,013,813,457,836,561,312,419,470,464,802,
939,826,454,107,761,427,885,850,888,840,933,828,751,214,164,262,691,561,167,
556,297,396,459,211,493,160,383,441,424,615,218,403,263,792,461,920,626,448,
940,518,432,828,636,419,465,259,662,861,521,722,152,678,518,303,474,542,586,
749,152,173,833,130,702,066,875,530,558,941,997,199,843,852,076,471,181,166,
375,112,335,677,675,054,851,653,413,814,715,173,022,700,964,533,846,221,837,
916,666,433,477,671,141,174,221,116,294,432,921,879,037,740,347,584,630,584,
924,421,068,049,429,884,918,031,049,859,551,955,772,671,569,534,839,102,494,
003,537,976,171,094,851,674,006,500,960,854,740,192,340,142,160,323,638,338,
598,099,384,704,497,477,296,091,806,271,642,733,468,702,008,634,770,673,331,
417,242,523,431,536,581,483,395,161,641,449,054,714,169,913,166,752,309,818,
516,285,745,682,279,888,537,011,353,998,610,855,709,190,340,847,278,560,873,
188,852,412,029,392,009,338,837,996,773,136,753,138,533,498,304,684,474,434,
564,056,555,375,938,007,556,208,602,922,965,302,007,966,548,219,654,963,939,
851,967,683,242,578,922,549,162,765,947,443,880,940,063,294,401,665,006,844,
802,749,522,008,146,534,449,246,656,725,208,327,574,672,753,776,093,725,688,
282,185,548,680,516,752,759,152,682,733,245,924,021,299,804,276,551,634,395,
194,341,920,538,322,910,560,877,864,732,279,480,196,702,767,947,853,820,927,
421,178,068,009,419,362,471,066,161,372,353,667,360,648,337,291,790,311,398,
762,492,799,142,057,379,592,333,943,473,120,097,560,672,515,053,678,683,413,
800,914,550,623,524,894,685,413,228,164,341,777,895,097,369,355,479,145,365,
813,099,239,247,519,183,107,361,076,542,348,421,709,052,364,978,206,779,706,
114,747,390,996,010,525,008,283,643,069,141,186,487,764,392,890,139,970,084,
488,221,086,262,203,271,688,633,676,237,358,756,039,322,486,804,434,300,044,
401,552,165,319,562,380,345,629,130,325,249,921,794,536,508,725,569,397,474,
522,609,782,958,828,182,002,802,736,010,751,506,364,254,870,872,954,994,973,
984,597,611,264,981,407,184,775,565,737,242,008,218,103,809,621,109,369,450,
329,168,682,578,159,631,799,443,441,286,446,810,226,130,145,389,561,078,596,
504,515,593,284,561,829,672,643,504,273,564,099,463,873,099,525,017,031,249,
832,834,866,046,520,836,622,228,231,856,801,523,536,813,392,771,052,732,994,
961,751,556,972,769,012,761,517,256,622,432,780,749,689,092,040,323,394,296,
107,556,771,919,031,513,527,336,705,040,164,111,989,882,040,540,904,410,284,
701,727,732,774,817,205,351,424,549,950,076,667,001,640,515,964,598,783,103,
560,650,450,403,295,508,275,592,186,720,314,118,474,679,826,127,501,592,435,
856,171,664,136,398,485,175,482,108,810,512,505,789,238,480,908,811,065,913,
573,290,702,396,343,466,220,325,523,329,296,593,142,581,012,082,833,261,414,
523,026,319,517,306,897,872,466,926,906,788,404,949,208,927,267,851,765,858,
470,318,542,983,912,818,019,470,230,381,793,502,693,121,234,033,213,466,144,
227,183,717,315,881,406,968,925,616,042,496,887,373,927,276,820,447,761,776,
925,919,129,885,964,192,576,679,603,260,035,320,145,397,207,347,816,228,048,
522,152,644,206,085,981,709,312,558,157,794,763,574,837,697,803,525,257,253,
813,303,247,691,280,851,650,942,162,723,015,759,854,894,850,891,022,024,427,
980,798,654,536,697,124,658,830,250,660,468,449,961,358,764,360,521,193,405,
234,231,628,456,306,019,313,778,723,805,059,931,439,893,796,691,624,318,057,
573,550,594,617,711,100,582,801,663,255,755,033,173,568,522,367,311,769,662,
683,037,838,414,030,331,582,764,698,326,316,440,009,947,495,179,225,544,223,
049,975,199,504,070,391,444,832,500,649,853,894,243,945,664,296,939,854,377,
065,126,550,765,548,915,123,896,238,176,355,603,765,979,756,080,918,579,185,
160,027,912,352,134,942,150,289,947,942,285,375,609,344,098,350,331,920,449,
299,389,947,346,727,410,308,125,381,607,057,727,777,227,171,578,275,157,447,
064,250,035,786,346,589,032,880,071,268,742,902,181,907,492,927,240,713,605,
641,098,707,900,375,793,104,990,995,080,244,964,306,445,060,714,672,942,425,
335,554,347,354,043,034,850,555,950,397,744,141,422,456,011,595,120,396,243,
501,658,754,734,427,499,238,681,676,217,625,778,476,018,570,957,586,715,276,
228,700,504,898,683,298,791,634,246,775,956,854,308,056,542,594,714,680,760,
520,071,805,805,700,042,362,139,932,677,638,696,206,846,346,023,119,596,219,
234,191,541,117,449,245,920,228,944,193,581,406,395,349,409,062,101,479,476,
748,175,263,822,337,434,559,697,613,329,558,627,318,006,988,794,048,674,664,
737,710,274,617,010,995,161,785,894,786,353,741,025,399,822,341,288,416,073,
277,924,226,260,622,987,583,831,059,378,837,445,015,274,604,865,380,432,104,
086,424,815,946,734,438,621,857,454,848,363,414,274,381,679,995,725,224,831,
501,530,205,189,811,789,357,668,017,540,604,027,019,265,122,109,313,563,270,
055,231,227,781,761,958,796,150,422,809,206,289,789,757,472,208,584,783,174,
715,000,407,678,869,999,059,524,534,123,241,373,689,546,561,786,446,499,637,
678,628,868,195,041,996,614,052,247,775,470,519,032,671,792,914,316,233,944,
824,334,250,011,905,937,840,570,726,262,924,785,264,242,376,307,643,923,436,
299,050,135,571,963,707,049,520,894,674,950,872,665,613,440,887,520,706,890,
424,913,974,875,186,552,280,931,829,253,041,416,196,626,416,097,845,123,607,
206,688,589,393,166,183,413,607,332,999,921,117,641,526,517,663,421,743,624,
522,159,627,534,513,618,881,835,642,437,058,103,248,740,102,441,425,667,946,
255,365,775,934,818,747,098,491,261,976,371,086,864,454,510,710,050,747,107,
447,275,189,949,014,315,334,240,435,765,187,944,302,978,256,080,978,301,443,
350,990,168,861,839,979,434,186,752,407,749,007,123,442,470,872,710,253,454,
215,298,825,831,730,371,542,514,341,736,276,561,266,437,129,450,375,196,437,
057,425,255,304,617,861,863,354,452,435,461,454,890,703,923,409,995,533,960,
389,970,772,350,292,263,648,643,134,636,038,418,122,517,087,856,354,287,775,
949,574,222,871,910,841,564,059,752,813,323,856,014,316,316,849,126,969,441,
990,877,687,992,609,452,673,040,665,831,845,237,908,489,074,945,882,449,771,
056,655,665,928,672,013,369,711,350,895,675,293,715,184,801,542,708,619,735,
836,492,174,961,000,834,719,144,489,206,544,457,335,921,591,012,725,415,449,
311,321,513,600,346,033,004,049,257,547,775,954,380,866,663,392,127,506,203,
382,671,272,883,449,830,655,688,504,878,926,036,843,745,709,515,253,639,110,
109,359,430,339,937,562,601,576,987,380,895,901,735,962,036,094,364,333,533,
288,587,271,578,299,115,662,547,255,331,663,911,323,389,665,718,102,784,988,
166,713,781,419,577,091,339,119,455,144,924,792,180,543,876,775,169,329,839,
091,304,900,971,151,658,928,004,162,882,909,139,257,016,498,204,257,424,950,
182,346,986,057,735,229,796,282,824,776,581,714,310,626,121,650,469,571,153,
229,835,306,034,895,937,536,510,255,439,124,417,889,319,186,410,836,354,992,
868,942,023,577,213,875,687,264,620,122,538,794,635,981,627,561,817,273,467,
796,228,831,065,197,126,466,757,084,772,925,888,998,671,968,829,537,631,785,
888,714,822,067,572,184,424,957,523,517,715,463,246,130,219,141,215,775,201,
721,335,163,428,377,885,970,024,761,793,781,155,232,071,287,376,445,139,638,
244,695,731,874,535,556,164,565,964,062,659,038,816,496,155,074,447,213,302,
958,367,191,717,251,182,563,880,236,459,545,042,362,035,759,790,288,722,651,
238,468,067,935,600,058,076,019,350,000,473,793,084,233,150,806,416,027,549,
829,017,531,131,548,481,988,360,555,672,648,051,360,697,927,165,645,942,620,
123,540,871,903,314,274,629,716,053,672,340,880,270,780,154,234,080,395,864,
826,353,271,924,498,609,037,845,956,185,153,670,503,619,530,248,414,902,608,
778,916,950,108,038,305,390,321,991,321,483,733,156,708,500,071,225,470,668,
644,722,147,004,957,658,747,478,776,490,939,683,642,636,199,319,748,529,303,
565,613,750,330,396,062,694,031,533,689,700,589,904,550,948,142,896,615,916,
067,248,955,252,592,247,827,233,466,412,354,534,725,694,247,139,807,441,952,
752,415,857,237,466,204,974,981,091,734,531,037,942,034,652,601,191,112,728,
208,975,752,796,871,539,481,622,237,666,663,733,245,234,221,414,276,486,106,
650,800,046,730,994,140,174,554,956,999,685,479,017,706,038,045,707,272,935,
425,010,649,302,219,354,156,396,101,344,919,697,524,965,606,143,517,229,958,
842,509,381,880,477,457,044,464,191,559,966,269,725,610,895,859,793,224,722,
680,403,999,362,269,740,230,395,471,086,288,447,520,966,085,236,614,893,780,
169,174,775,336,410,979,528,186,031,202,626,031,055,032,182,700,570,735,506,
056,443,126,304,361,841,176,285,206,554,041,914,848,713,497,264,327,011,320,
513,242,945,296,212,698,143,216,886,707,922,138,804,787,020,066,522,890,636,
759,305,537,385,338,794,946,387,687,254,704,406,899,412,859,332,668,432,978,
414,717,677,724,404,726,579,688,121,855,766,995,310,969,323,846,144,238,266,
632,644,751,110,426,297,754,404,380,484,412,819,307,570,045,218,044,658,786,
594,929,936,996,027,009,159,822,974,925,812,963,139,066,476,895,751,401,350,
439,252,120,516,479,421,330,633,672,777,331,165,128,656,137,353,026,527,297,
484,395,074,129,217,326,824,475,583,613,972,423,085,424,144,388,955,097,877,
951,056,331,073,010,976,009,097,906,199,965,961,052,201,189,269,914,229,040,
508,224,596,066,498,446,483,616,768,141,648,183,540,699,217,640,085,197,373,
917,815,723,881,520,464,626,370,262,365,995,391,018,401,699,497,968,194,958,
185,927,657,513,934,648,036,508,580,990,705,054,095,831,979,552,871,199,876,
075,721,706,207,163,200,109,712,526,214,319,419,348,961,878,483,142,530,736,
442,248,987,262,353,179,530,821,758,025,130,256,290,671,378,125,886,783,614,
322,174,254,555,620,263,445,696,358,324,777,585,470,311,078,979,543,017,248,
519,785,005,432,970,998,467,233,687,808,417,579,437,234,874,774,436,637,064,
213,234,076,345,881,536,000,528,610,900,344,189,769,992,985,929,842,818,045,
844,139,987,064,412,951,446,527,257,993,849,424,388,974,243,349,178,249,996,
951,304,375,861,641,249,349,262,385,050,481,585,384,254,813,285,110,287,462,
885,741,358,407,042,318,213,855,678,378,288,863,765,984,853,940,235,926,955,
524,630,635,921,073,247,283,656,894,266,714,277,538,061,850,693,787,159,923,
338,929,416,604,964,235,737,628,703,391,743,603,641,682,214,841,763,394,714,
897,845,390,442,296,592,928,867,107,797,927,841,870,435,876,368,143,440,961,
584,973,178,330,077,506,979,731,612,101,855,761,215,713,191,789,053,219,829,
868,769,458,354,579,396,830,377,495,397,847,136,231,496,934,271,122,049,591,
508,701,999,624,171,301,732,193,939,870,927,346,606,430,015,869,207,412,407,
612,382,140,848,766,742,731,579,243,186,401,052,593,537,968,934,497,619,586,
696,303,274,540,146,183,107,399,328,399,407,510,217,516,171,918,612,622,346,
268,806,058,611,089,965,238,426,332,823,982,194,335,445,740,383,442,844,780,
174,946,196,397,473,618,423,844,525,497,095,215,179,086,216,429,540,238,296,
157,565,286,995,467,286,542,122,061,063,657,228,333,882,203,581,478,795,475,
378,637,333,255,825,944,268,515,403,757,069,715,786,088,549,424,065,794,632,
673,317,938,057,833,086,552,306,720,497,102,953,226,552,307,299,742,738,275,
201,370,767,911,398,987,682,206,129,418,894,430,054,381,200,194,908,055,116,
147,667,391,714,270,408,806,184,988,630,143,832,938,700,399,354,664,154,573,
311,490,090,933,465,147,367,864,584,835,292,295,981,736,340,915,423,277,801,
024,223,209,932,392,056,770,199,295,410,233,197,186,567,583,678,539,361,875,
401,258,393,937,946,056,941,958,167,764,062,517,862,361,850,948,885,767,135,
198,782,854,869,025,273,388,842,190,894,370,655,369,997,069,116,025,820,736,
869,221,318,479,021,060,677,187,963,689,232,460,724,766,935,007,755,953,661,
913,962,631,030,149,240,498,486,615,868,731,472,817,911,712,224,680,935,444,
225,484,973,156,269,895,677,937,925,396,093,984,482,835,235,387,317,227,394,
000,816,113,801,594,450,351,945,865,867,890,781,236,591,784,294,664,589,427,
023,347,585,048,010,633,618,544,004,975,183,832,026,242,301,165,920,877,543,
493,820,994,184,645,355,323,687,453,502,893,288,763,047,025,387,117,753,171,
002,452,663,347,271,849,373,065,556,397,785,057,648,486,897,735,374,788,461,
036,551,595,667,994,161,053,390,631,379,247,281,498,553,374,243,209,961,794,
678,329,411,762,332,356,620,275,569,209,476,527,780,138,579,537,196,600,163,
362,684,781,094,919,694,929,038,999,574,854,994,736,314,838,890,479,625,423,
184,699,447,958,209,544,900,440,073,091,646,764,856,894,756,025,867,960,440,
322,143,725,529,654,128,906,249,706,373,759,457,092,117,797,778,026,612,660,
303,604,498,490,974,407,457,436,895,971,466,287,066,825,699,045,649,660,944,
955,608,045,150,756,839,005,487,552,499,552,187,436,885,138,407,057,784,188,
107,742,059,659,064,209,527,678,491,653,449,987,471,312,441,317,570,731,908,
347,688,743,624,978,369,449,601,253,755,348,121,391,236,707,406,942,484,737,
997,491,129,402,161,036,312,591,953,685,057,774,786,776,680,720,459,945,616,
037,436,394,097,701,265,066,196,436,958,122,982,234,090,590,561,909,608,337,
784,321,295,053,897,736,738,739,117,317,461,980,299,866,292,234,447,130,717,
541,974,413,295,163,131,366,087,678,502,845,364,845,562,858,246,616,004,078,
059,820,569,049,336,590,370,406,532,080,866,398,596,476,450,648,516,030,722,
955,354,796,265,727,252,629,486,946,260,664,540,943,608,176,526,188,319,443,
368,755,859,532,227,439,249,665,637,241,824,206,555,030,952,451,095,502,747,
966,211,711,831,997,184,223,332,847,571,960,244,835,273,356,211,359,054,966,
343,896,256,905,251,317,710,123,499,503,569,601,221,471,097,574,505,250,664,
441,759,729,595,783,711,119,908,446,151,477,090,526,041,233,803,781,009,634,
592,730,211,598,549,962,100,904,843,128,283,215,362,323,047,309,933,464,709,
259,045,003,507,915,830,731,951,552,021,024,964,316,160,351,774,182,372,602,
860,657,809,903,386,885,163,441,240,802,826,394,969,814,463,272,161,530,283,
446,151,574,923,339,700,198,409,651,516,828,872,299,437,390,218,420,867,030,
886,760,374,796,280,756,011,421,622,791,160,943,504,077,375,010,441,863,632,
480,950,664,007,200,002,097,473,868,148,928,170,476,622,580,932,319,008,733,
152,488,234,277,785,519,590,134,429,778,121,974,069,488,608,463,097,282,949,
554,792,510,233,433,766,583,644,920,554,708,826,969,048,686,111,495,593,093,
902,598,636,522,160,045,485,527,123,581,466,906,300,394,402,709,008,864,640,
668,164,862,796,849,158,794,474,482,657,637,895,705,201,176,872,834,821,377,
893,579,652,165,089,807,949,024,766,880,218,539,545,452,180,142,352,981,632,
016,204,232,961,817,216,406,737,147,208,967,309,659,465,954,697,555,326,691,
290,476,765,607,718,197,088,736,387,174,045,219,547,634,122,147,489,519,571,
093,337,741,252,609,178,853,762,415,608,990,944,058,705,563,294,779,380,067,
978,426,075,630,683,514,727,096,137,643,994,199,842,892,053,836,407,503,126,
100,630,282,995,365,792,079,566,173,735,075,332,503,273,495,420,635,704,182,
985,433,447,348,196,658,643,637,747,794,401,945,806,355,885,337,360,021,227,
502,680,180,622,364,369,338,602,636,338,991,174,587,846,842,649,055,107,016,
171,152,956,198,375,829,496,627,271,215,912,059,650,313,192,235,555,720,054,
569,044,077,298,796,832,925,720,386,660,311,062,736,083,183,440,990,338,154,
211,301,640,134,321,576,303,088,715,919,852,606,867,989,526,596,764,899,215,
565,505,129,345,787,625,111,936,134,008,153,823,952,249,574,103,719,247,766,
675,196,531,330,558,265,104,563,666,216,946,969,917,371,542,796,772,692,983,
829,924,424,901,774,256,016,941,498,621,977,548,757,075,606,077,202,526,141,
326,893,599,684,915,184,049,749,676,301,076,937,869,757,257,536,807,506,082,
373,302,247,898,302,307,313,946,872,702,637,641,126,405,915,371,891,568,696,
483,861,830,840,599,971,834,903,240,789,396,559,193,725,624,632,058,165,300,
085,361,364,791,857,151,032,904,034,577,393,445,556,136,083,867,220,231,630,
963,283,812,226,004,321,740,195,958,798,595,737,403,892,002,575,169,123,138,
645,800,408,045,550,459,940,302,529,676,894,246,312,886,471,089,969,641,317,
608,329,540,467,247,503,838,878,919,654,577,677,153,678,987,934,265,508,214,
962,522,625,192,697,967,166,354,434,820,069,087,591,583,453,796,477,286,232,
081,636,760,020,375,702,722,028,096,319,227,945,178,133,533,035,897,839,401,
943,780,981,854,029,201,651,579,964,647,051,532,485,526,946,246,200,606,752,
394,512,603,159,963,929,158,015,953,226,805,017,651,605,527,614,335,193,386,
839,647,022,348,296,302,721,879,843,832,865,666,332,815,511,467,745,774,157,
683,613,279,449,989,437,633,979,386,871,803,155,700,181,325,682,192,693,399,
674,563,715,118,447,785,488,490,015,757,644,762,274,795,174,243,230,427,439,
750,119,078,544,768,218,477,911,801,254,772,907,463,251,142,366,251,732,584,
971,670,156,156,776,848,386,162,182,273,514,829,468,972,474,086,542,440,845,
405,095,232,246,220,921,689,439,636,818,797,823,638,246,071,589,987,199,989,
491,930,289,774,463,047,053,025,114,679,090,353,783,814,551,689,892,744,222,
475,141,091,457,161,685,322,115,874,300,491,799,118,517,560,751,734,697,137,
011,411,671,451,092,586,013,633,601,937,212,828,551,522,801,357,333,838,867,
540,560,137,010,518,423,810,254,956,959,952,995,005,016,767,451,241,828,777,
334,164,160,154,458,698,318,287,849,745,882,847,669,858,120,510,405,605,476,
777,391,367,628,149,858,084,015,450,528,011,863,267,206,455,724,181,976,792,
478,339,300,881,233,763,815,296,476,720,104,129,672,412,719,899,424,385,468,
383,371,708,190,231,482,929,349,182,372,543,567,846,822,890,096,961,859,726,
969,672,758,834,455,244,831,012,191,710,625,420,006,393,642,254,899,031,916,
279,104,759,512,226,731,281,655,304,477,693,526,715,048,796,206,834,626,315,
635,493,855,999,678,419,788,476,417,598,732,658,883,683,466,788,431,281,025,
214,353,152,350,998,846,399,589,904,659,508,837,879,025,617,639,863,446,930,
685,363,275,935,528,304,718,922,485,603,624,728,199,740,671,631,728,073,301,
433,525,933,329,963,174,063,015,631,616,009,118,316,507,948,942,611,621,339,
694,279,231,417,853,333,629,912,753,764,486,728,345,346,384,035,108,204,500,
125,937,961,583,920,970,821,569,700,280,989,091,703,213,103,034,483,994,561,
411,577,229,038,915,101,382,153,920,018,247,746,568,861,585,276,158,758,764,
804,045,928,995,737,246,125,687,196,302,571,114,959,205,392,162,913,557,252,
780,319,458,205,348,193,503,931,849,522,144,851,329,463,281,522,062,159,472,
955,186,999,875,071,267,161,735,164,310,216,517,406,241,468,060,582,838,377,
690,835,936,190,754,069,598,328,206,466,598,953,982,278,660,323,924,424,432,
830,810,203,837,941,529,185,198,004,008,737,727,208,257,277,430,787,161,656,
331,537,367,495,019,527,872,089,472,927,538,978,206,184,167,024,776,179,207,
346,852,530,813,824,880,359,606,638,926,917,853,374,073,100,797,570,207,378,
535,034,377,778,997,403,795,057,800,389,660,422,592,675,607,938,573,695,337,
198,005,984,369,276,969,347,995,656,137,161,993,329,409,631,799,094,529,152,
831,296,580,995,163,487,176,696,276,246,015,210,611,082,792,343,815,550,609,
870,800,368,711,155,791,677,919,466,438,742,709,750,423,353,947,652,335,206,
329,094,620,153,823,193,246,818,873,338,542,702,627,540,102,489,244,880,885,
274,790,339,966,739,820,425,905,251,312,246,741,960,550,923,623,549,614,772,
760,404,664,544,000,317,781,048,619,052,396,130,492,708,704,388,136,031,065,
298,704,968,202,328,656,521,841,550,590,948,523,374,460,940,032,689,086,573,
611,989,827,783,772,268,368,204,984,732,219,398,135,022,804,872,255,888,137,
142,191,332,291,999,321,462,148,650,029,263,241,531,678,968,632,185,049,424,
175,496,024,777,826,396,626,820,167,832,658,809,005,360,181,739,854,969,290,
986,764,648,669,502,571,829,713,490,757,282,658,404,830,707,367,532,166,748,
202,610,787,595,188,365,942,143,209,701,092,480,685,446,867,682,650,476,219,
822,910,832,790,689,634,733,155,047,491,272,522,639,139,056,375,196,165,581,
380,859,184,505,638,259,995,059,588,984,242,672,594,614,509,567,440,573,768,
631,633,718,626,805,599,954,749,176,130,585,353,538,826,400,956,790,878,256,
331,338,251,283,805,809,189,699,190,404,299,613,141,914,102,812,433,045,471,
926,608,311,898,224,142,342,676,913,914,372,216,531,418,255,910,060,582,305,
779,326,050,936,919,061,186,317,530,404,245,560,497,980,984,044,957,288,272,
649,263,821,885,212,816,698,374,404,625,553,368,803,242,871,274,937,793,004,
103,455,065,304,718,466,151,913,511,578,073,221,601,866,078,613,110,087,263,
586,605,726,721,438,306,392,808,982,271,437,852,620,392,007,887,849,464,856,
584,418,552,395,409,105,161,929,307,215,310,055,580,797,473,634,247,733,712,
970,556,748,222,474,788,146,071,777,159,029,606,721,042,184,646,431,638,226,
908,786,840,825,526,767,366,199,212,586,861,913,989,551,099,812,392,941,335,
282,131,495,015,445,351,131,995,913,348,382,217,586,917,820,903,239,586,985,
085,907,088,974,088,734,115,784,347,451,917,074,329,227,335,183,828,891,153,
586,912,772,258,631,159,035,191,356,870,927,606,038,922,682,257,356,711,864,
303,009,608,503,408,820,502,883,328,659,148,850,947,174,368,280,158,307,617,
197,977,772,307,547,265,125,927,387,839,345,667,433,166,599,695,226,820,057,
148,779,927,720,399,015,493,417,199,352,812,792,078,283,775,797,811,914,531,
884,564,004,579,652,330,459,398,151,079,780,557,004,001,121,507,687,223,070,
783,950,476,957,380,736,023,659,354,539,217,909,587,906,128,771,348,873,204,
589,722,619,989,287,605,118,461,144,359,962,530,465,390,315,350,459,135,988,
487,443,885,493,760,190,412,089,075,876,614,638,786,364,675,468,233,621,762,
880,170,879,556,208,059,401,914,292,859,170,100,836,927,919,639,510,071,983,
233,334,013,696,070,622,869,730,242,228,932,390,802,625,517,263,498,346,144,
711,042,798,760,417,374,859,886,028,240,105,439,111,664,979,338,952,883,563,
747,849,776,886,053,181,059,440,544,029,167,544,845,343,617,671,880,523,314,
650,603,058,355,290,196,772,655,137,520,001,238,176,695,336,194,582,201,366,
817,705,583,024,570,842,431,188,400,655,936,009,842,370,226,951,493,926,698,
191,738,381,793,702,141,429,280,086,676,155,030,668,204,007,924,340,816,738,
603,711,255,364,900,973,156,014,658,485,940,909,582,225,530,532,057,938,042,
025,713,198,606,193,791,523,726,661,762,698,622,269,036,370,790,696,188,390,
806,422,343,594,770,755,200,308,554,237,065,480,672,777,335,363,926,391,618,
808,654,884,263,368,638,605,695,206,440,144,196,207,267,177,173,267,533,988,
096,273,508,010,486,165,986,662,187,334,208,663,169,642,868,941,902,960,974,
606,389,475,509,580,255,551,159,527,310,889,925,225,610,472,772,099,706,506,
560,394,053,482,737,761,071,152,987,421,089,453,793,914,685,744,101,342,227,
629,051,805,815,269,775,080,388,565,691,607,755,769,014,247,759,814,369,804,
618,440,058,007,488,736,252,732,169,632,568,896,677,486,125,092,009,635,169,
198,481,567,103,176,216,455,918,926,404,693,592,801,693,970,421,454,281,069,
057,255,342,699,006,059,195,665,971,758,976,975,052,814,196,860,486,023,074,
367,045,021,191,480,917,645,402,051,205,204,508,723,275,824,515,294,575,069,
869,531,745,094,440,152,549,489,066,611,879,523,104,479,538,060,190,909,602,
625,326,231,372,607,745,735,029,396,573,453,290,081,761,171,936,634,132,612,
441,271,137,187,951,499,511,328,903,175,607,884,820,361,209,544,837,995,893,
844,633,303,033,536,713,541,485,684,418,356,326,391,076,439,455,814,133,962,
409,500,307,177,019,296,947,742,484,827,478,003,594,082,057,381,270,210,205,
868,209,152,112,974,054,018,944,402,028,584,227,854,235,203,873,342,831,813,
258,964,569,266,529,159,334,911,018,327,890,759,151,247,336,482,541,854,184,
371,138,041,806,690,025,909,622,270,595,028,377,654,485,389,095,679,282,188,
087,849,780,090,388,646,519,877,740,937,623,692,238,735,578,102,127,299,207,
434,543,589,521,519,434,888,568,646,644,018,657,936,628,688,112,323,780,315,
740,769,269,893,786,641,736,306,328,336,780,604,194,786,970,507,799,367,565,
027,103,301,240,746,514,613,462,671,789,240,578,719,359,622,349,242,176,685,
618,720,128,481,485,339,879,028,225,425,046,580,911,350,687,914,514,750,301,
705,027,511,865,770,425,224,255,062,055,625,254,042,321,059,291,205,122,981,
037,641,228,535,422,356,029,340,797,699,301,000,707,666,155,853,874,857,280,
339,144,996,340,279,832,399,659,243,942,915,354,997,528,044,929,794,893,802,
801,003,908,976,297,958,599,960,527,638,761,667,596,236,072,604,837,790,928,
165,282,935,005,586,973,633,218,329,819,700,692,654,290,639,057,409,611,373,
682,271,741,147,038,396,209,766,893,726,280,645,632,920,845,737,043,909,972,
916,427,893,264,092,261,787,172,751,769,338,391,819,960,725,867,325,418,267,
847,670,631,174,521,717,783,801,350,269,915,439,156,317,855,696,326,479,171,
795,221,543,490,539,016,509,075,058,971,852,701,613,366,119,779,845,108,711,
612,861,395,851,748,581,179,086,369,406,378,534,442,341,566,611,997,971,059,
061,369,148,602,223,179,934,836,480,153,130,734,176,787,494,001,889,559,081,
993,178,588,975,998,103,832,111,751,114,722,338,443,318,540,912,726,956,687,
253,317,983,786,551,528,321,484,466,116,625,328,230,059,575,192,806,975,905,
242,918,729,444,796,424,245,290,662,614,754,752,693,217,884,253,910,367,204,
069,503,705,139,391,119,788,609,059,407,421,072,103,203,952,610,970,340,110,
919,052,376,886,924,504,293,532,253,798,722,132,632,694,572,610,416,116,182,
907,121,946,894,559,165,501,002,639,705,961,514,517,710,714,584,185,664,872,
368,128,362,222,604,012,133,940,848,050,828,436,686,050,587,368,484,143,931,
702,248,197,533,836,688,922,867,490,539,567,872,812,359,375,823,816,622,585,
497,318,845,775,245,727,890,144,651,057,683,469,752,443,514,960,695,109,488,
311,715,194,904,245,271,569,828,211,231,672,213,720,701,578,227,895,623,056,
463,762,081,538,715,654,161,553,030,181,020,242,039,777,797,960,390,021,074,
715,715,869,778,537,097,811,736,316,535,043,640,850,882,384,592,629,999,185,
844,867,855,382,427,063,862,527,367,422,132,932,868,007,554,572,610,204,043,
467,359,112,805,206,572,145,498,209,398,004,329,005,123,261,594,812,049,352,
848,547,538,269,260,206,194,653,840,169,164,266,106,364,403,125,808,716,914,
759,497,628,414,869,608,752,284,583,367,464,463,693,676,576,506,487,683,761,
971,040,739,544,103,953,152,444,475,777,792,529,576,158,933,748,687,603,577,
074,065,221,445,464,680,701,228,386,947,497,238,103,974,123,118,193,554,357,
207,198,745,182,848,680,299,920,360,411,486,663,921,940,863,912,527,331,806,
472,873,906,152,686,732,391,102,000,863,950,313,037,973,463,324,864,787,499,
041,249,428,492,512,703,482,169,865,354,503,477,655,373,851,857,657,036,014,
115,137,623,001,669,938,576,420,021,482,167,111,127,005,305,091,859,368,724,
063,056,424,456,115,690,690,248,721,330,075,088,008,252,557,868,797,990,148,
283,784,244,718,515,223,459,337,275,868,426,184,193,587,332,807,170,283,398,
838,111,788,757,518,870,876,651,840,825,129,728,320,059,591,303,486,138,180,
332,441,774,259,085,885,394,746,920,228,300,883,434,356,997,475,874,073,532,
272,468,410,797,302,036,354,624,146,538,439,778,586,221,752,768,318,167,036,
142,375,006,539,405,077,113,257,573,167,512,355,420,393,665,131,200,198,419,
497,494,216,354,404,255,448,732,026,443,953,819,095,713,035,529,038,638,981,
713,476,475,123,751,712,616,825,148,085,489,002,070,086,536,745,119,240,096,
881,106,118,044,795,313,675,021,448,079,091,901,703,786,714,314,087,519,597,
822,610,533,466,465,212,036,321,123,857,882,658,792,034,556,335,680,323,429,
919,187,704,019,987,431,542,948,824,630,104,605,897,359,616,530,683,622,580,
098,418,227,223,341,826,094,310,287,941,652,575,169,913,024,082,038,240,403,
377,280,007,015,875,673,868,929,713,016,541,898,955,377,890,445,852,977,698,
795,198,822,970,422,239,653,945,234,635,591,122,817,733,102,245,892,566,986,
781,775,326,834,696,411,703,993,951,819,250,690,492,217,644,985,782,900,187,
854,080,039,307,225,864,959,273,153,300,295,939,446,906,789,635,241,061,955,
506,531,551,254,776,131,440,309,285,821,500,274,657,514,822,006,319,732,736,
197,784,805,926,842,391,155,185,597,621,876,673,077,404,170,497,511,159,528,
699,723,772,223,840,831,291,016,078,330,834,636,608,478,987,522,954,870,676,
275,883,122,308,044,965,311,349,130,188,794,828,920,473,394,461,520,127,541,
096,598,585,159,886,199,365,842,100,105,325,647,544,711,561,030,463,100,265,
110,929,768,567,171,836,836,857,090,702,048,098,170,732,308,471,832,048,365,
361,820,715,390,834,790,598,810,753,663,749,093,108,960,851,888,822,596,996,
113,337,425,941,038,057,810,999,753,834,595,393,570,598,084,726,959,723,755,
711,113,750,573,233,911,869,345,800,034,166,450,048,665,740,054,540,780,757,
358,074,418,039,693,602,199,272,630,440,553,724,553,793,448,401,260,178,083,
334,004,416,356,522,514,651,545,044,743,777,817,253,332,123,215,696,144,309,
821,240,446,574,124,592,597,914,907,511,710,853,090,290,606,545,493,823,758,
298,524,237,166,424,587,285,955,859,916,225,444,739,242,157,484,574,815,479,
854,336,059,076,973,216,258,349,724,335,226,559,676,618,333,139,963,606,355,
267,201,996,498,757,602,236,564,117,538,609,454,113,730,960,682,931,867,246,
317,552,895,074,702,619,776,476,712,336,897,075,141,301,105,302,449,082,761,
724,946,517,880,286,869,177,101,706,319,086,948,902,466,406,641,862,645,772,
309,497,729,774,443,982,780,238,361,233,585,377,952,950,656,415,882,994,917,
013,568,552,075,310,585,700,417,729,747,337,248,320,951,855,730,548,604,345,
808,115,060,717,823,633,470,134,602,567,093,904,079,444,340,703,300,215,690,
460,955,907,127,737,718,887,400,463,197,101,294,541,820,208,215,726,828,406,
816,925,199,597,959,777,245,009,268,750,992,331,347,945,049,790,192,250,069,
616,322,659,270,860,823,777,202,213,626,955,629,698,582,480,151,546,641,682,
865,903,604,307,357,140,298,347,607,580,509,871,005,847,383,381,952,466,799,
421,884,126,206,884,619,447,569,255,762,307,045,043,299,721,065,349,487,106,
705,324,110,099,521,499,541,895,739,299,754,900,466,428,434,511,892,631,733,
529,801,144,104,997,980,312,943,683,356,485,381,699,220,825,228,033,892,910,
985,765,922,281,828,174,557,263,613,805,399,697,898,973,967,396,859,311,973,
526,726,125,851,310,658,377,332,534,348,726,249,686,416,875,451,106,409,708,
933,597,635,719,845,111,542,127,456,686,496,950,237,173,790,824,989,155,020,
148,168,542,064,772,095,930,443,765,972,120,887,606,219,412,904,390,288,152,
010,068,709,717,520,408,446,280,489,763,440,354,092,735,447,312,533,240,821,
715,541,087,627,061,835,776,886,503,083,718,686,345,259,099,018,861,140,780,
777,393,287,179,359,066,347,922,609,983,756,464,001,595,569,611,413,910,513,
695,811,558,338,675,975,721,772,196,446,847,077,483,346,163,142,615,688,035,
324,977,863,556,073,114,168,777,447,004,311,848,685,542,906,553,014,187,437,
749,271,955,172,551,739,551,972,267,318,169,401,567,315,738,605,902,231,024,
544,881,496,890,660,161,956,649,204,663,095,435,554,194,703,819,689,670,143,
562,090,129,104,463,264,478,708,348,437,247,275,831,219,844,155,458,971,079,
833,018,741,030,137,260,581,940,573,447,039,365,282,594,875,550,520,251,015,
171,813,675,914,344,792,929,225,655,785,685,166,021,895,191,217,114,358,113,
379,692,378,685,442,895,222,739,770,048,805,820,879,359,798,341,832,506,492,
117,219,521,649,613,459,173,666,061,231,215,277,079,027,341,783,823,046,485,
153,892,384,525,985,097,106,765,786,065,537,401,256,859,150,988,996,299,352,
107,323,132,722,671,782,358,898,002,535,138,527,412,466,797,598,188,228,216,
534,406,073,114,422,300,909,811,065,755,349,495,530,712,103,662,984,711,609,
343,681,023,621,083,566,366,866,714,952,678,867,728,686,685,865,452,959,389,
877,806,838,998,561,160,473,737,902,866,694,669,228,065,588,557,881,832,752,
667,445,000,627,627,059,800,252,576,677,678,997,748,163,102,237,612,820,157,
725,264,302,031,651,366,867,846,680,075,338,617,391,839,747,903,438,315,589,
628,750,111,895,669,380,587,600,179,913,782,927,288,517,573,756,121,169,768,
146,111,393,712,983,853,831,697,107,034,537,366,901,625,361,037,413,751,887,
337,288,076,160,570,870,601,975,617,388,802,857,768,606,908,354,108,895,527,
763,815,192,737,892,308,926,548,936,851,918,608,126,055,086,031,377,144,157,
031,138,672,335,497,136,488,856,001,989,640,476,454,142,801,419,653,869,181,
487,812,090,977,724,897,838,543,355,315,626,197,312,496,668,965,036,151,288,
692,356,707,485,744,006,383,527,397,953,130,789,957,034,662,420,720,611,410,
309,376,839,355,634,405,712,306,859,972,968,344,969,698,062,081,385,269,952,
728,254,558,037,938,005,277,291,286,658,141,616,724,544,816,222,847,974,495,
618,181,485,901,683,203,321,830,091,486,316,698,533,552,149,896,429,453,194,
637,838,574,686,373,340,366,845,311,612,895,696,103,890,164,953,029,724,679,
433,096,756,690,092,804,022,097,791,052,731,256,657,145,242,933,774,880,362,
721,120,448,255,939,590,866,120,946,445,626,292,286,886,033,797,025,807,950,
334,403,039,824,257,614,548,254,661,484,052,895,956,663,731,107,236,890,618,
813,728,130,263,300,551,335,161,952,997,441,234,071,076,753,693,847,548,491,
029,474,476,447,550,366,836,732,796,210,398,036,068,673,149,430,679,984,744,
771,991,821,960,603,197,568,782,034,981,627,846,548,603,863,794,426,258,673,
436,789,118,999,483,172,527,985,068,469,034,542,697,364,493,774,002,734,044,
245,597,468,522,323,993,261,228,136,769,376,866,079,991,860,384,971,808,217,
577,517,903,494,178,683,622,674,031,701,901,907,762,172,589,371,933,169,807,
314,748,258,596,854,352,244,570,337,104,376,045,022,802,322,090,425,092,835,
330,632,947,854,555,945,993,038,726,543,200,287,988,999,856,145,429,426,583,
806,083,467,522,959,667,650,998,627,537,394,638,807,710,893,639,903,580,261,
617,879,187,743,346,653,276,102,283,574,641,615,694,807,025,595,131,934,903,
977,661,313,725,710,065,652,874,532,420,016,659,702,998,579,932,381,612,808,
773,648,882,799,287,461,810,128,938,265,010,430,242,342,631,959,106,398,002,
343,930,520,734,079,417,762,640,931,324,496,294,202,821,144,018,197,790,509,
022,597,028,521,823,222,415,067,150,587,426,972,177,132,285,077,142,398,438,
143,472,997,559,137,282,309,952,155,481,904,078,965,295,856,641,355,784,193,
677,268,746,558,577,901,471,040,522,802,233,503,017,115,758,796,879,542,680,
462,788,301,931,406,760,050,887,670,348,083,872,378,573,706,121,395,270,843,
491,342,114,845,393,226,489,280,130,270,854,358,870,726,044,003,372,038,814,
634,966,988,117,327,190,636,752,900,104,550,747,270,403,295,036,367,870,320,
450,164,863,914,784,410,597,040,279,387,343,950,299,114,193,616,679,456,598,
236,009,749,893,917,275,469,432,444,142,666,835,608,910,977,671,952,588,621,
649,040,568,532,795,885,049,550,034,961,124,659,634,656,354,877,249,087,164,
431,120,928,729,557,882,244,664,689,049,857,834,896,477,370,145,917,249,407,
988,708,398,733,155,302,389,018,801,224,534,335,967,750,185,683,943,412,212,
232,775,050,314,394,594,652,304,497,121,407,591,873,482,190,280,707,942,396,
559,372,749,106,269,295,613,737,557,371,238,182,616,151,336,980,186,112,653,
103,211,699,312,291,066,632,661,115,109,995,429,101,558,573,267,385,843,929,
871,657,093,979,627,039,739,136,519,177,549,549,069,401,291,621,750,917,888,
048,202,120,179,770,207,848,647,766,130,883,853,445,940,704,468,906,204,937,
368,145,615,464,138,800,489,070,610,071,146,572,580,164,484,203,081,484,610,
469,234,893,775,339,338,892,911,094,910,673,617,266,478,065,569,862,660,396,
319,608,610,644,846,172,230,394,208,279,324,233,211,520,937,099,525,869,658,
383,155,842,926,387,773,180,238,368,837,954,848,152,497,719,394,875,413,289,
016,244,185,384,184,040,050,857,222,852,197,517,242,626,525,960,912,629,278,
027,403,295,025,868,545,893,348,613,098,283,875,989,921,290,733,311,795,021,
490,882,614,432,984,126,801,177,757,885,011,849,101,296,467,451,451,495,678,
846,595,347,794,554,619,713,685,081,840,140,408,577,618,843,739,845,882,300,
689,259,004,667,404,308,230,440,915,188,305,302,442,239,514,699,289,733,963,
417,393,336,373,336,803,869,019,040,067,356,146,823,024,897,740,086,964,543,
941,576,908,740,508,186,374,125,205,655,787,763,634,027,412,790,198,973,538,
115,538,957,472,061,831,791,337,721,283,277,841,517,491,380,718,707,788,212,
587,740,942,252,989,999,021,905,971,486,142,979,576,531,271,346,091,703,659,
391,877,625,496,980,933,661,834,001,415,435,716,782,809,618,977,249,610,883,
110,046,007,883,178,779,055,784,229,490,934,443,570,620,478,860,611,499,233,
215,331,641,669,320,523,440,070,475,995,353,945,137,636,101,452,411,502,844,
239,398,825,053,822,331,919,987,491,486,555,045,698,574,944,727,518,183,487,
777,848,685,447,270,829,222,108,036,681,871,831,550,188,934,059,770,131,342,
756,208,868,106,103,543,434,925,381,040,755,944,926,727,601,265,222,441,977,
411,435,876,988,211,886,822,583,794,885,425,421,904,330,263,387,722,792,096,
020,541,238,701,470,033,814,152,115,806,714,521,324,333,356,115,119,306,606,
171,431,769,514,843,595,697,429,865,124,584,209,044,485,478,862,231,927,012,
130,941,141,045,476,724,921,155,930,527,542,307,057,399,723,981,896,681,162,
156,234,935,019,757,119,291,354,302,811,452,078,385,293,660,460,537,098,613,
996,044,832,582,778,203,133,056,731,776,383,734,745,924,302,296,277,094,896,
362,639,372,932,393,425,726,542,609,844,064,827,366,524,978,371,594,259,090,
539,047,327,207,544,717,871,971,159,892,849,053,823,074,036,148,492,865,298,
178,068,126,393,263,173,989,096,385,752,324,442,776,101,106,370,857,297,355,
861,539,294,260,385,402,581,517,590,968,388,272,144,081,590,416,817,346,645,
033,595,688,818,459,602,213,977,981,513,763,309,707,544,154,482,713,047,815,
537,498,030,768,104,342,557,144,710,114,294,490,237,558,761,323,884,157,155,
763,294,762,714,919,972,511,668,736,822,374,266,605,408,678,567,427,343,652,
608,211,272,751,768,404,792,507,785,129,846,031,482,976,037,794,734,840,683,
658,607,576,503,504,639,302,611,389,995,277,020,618,357,591,163,613,360,843,
686,819,952,577,991,728,257,999,141,866,925,931,659,400,297,154,016,333,092,
448,632,633,395,951,226,482,217,099,610,341,601,167,479,144,136,429,800,968,
536,840,293,294,961,597,745,170,311,678,152,567,471,441,908,875,921,395,313,
351,644,269,588,729,614,009,624,459,194,803,081,302,026,996,639,530,300,693,
022,315,695,816,186,868,721,833,840,621,238,559,701,874,906,692,412,024,576,
383,605,141,837,330,632,886,203,074,782,625,728,194,222,744,695,520,654,289,
175,116,197,378,140,117,102,266,322,360,535,221,670,193,778,379,251,532,186,
102,028,557,800,793,582,623,765,135,408,226,741,423,897,033,259,105,264,967,
221,573,119,523,277,638,136,365,987,646,971,241,571,844,218,134,184,340,125,
774,286,212,022,242,462,145,741,585,863,611,640,771,380,742,621,985,107,207,
290,360,390,847,296,317,886,004,443,792,568,799,042,884,535,022,840,657,054,
310,477,999,954,633,819,523,059,592,289,910,068,849,378,796,942,736,095,992,
959,062,321,550,314,609,853,474,817,743,091,539,345,897,977,319,851,056,079,
533,166,818,513,487,259,589,703,260,373,357,922,078,364,820,040,639,652,841,
702,311,412,588,957,736,655,252,493,081,484,450,027,402,046,860,455,555,785,
335,933,332,839,850,122,152,171,505,596,924,958,089,975,410,879,042,165,923,
644,175,076,501,910,465,730,780,923,205,484,143,051,919,469,754,083,231,591,
234,416,509,478,288,815,198,342,468,936,599,775,089,703,410,506,976,104,999,
987,467,815,149,343,773,942,759,743,989,012,374,972,270,648,689,431,614,228,
111,801,713,401,785,621,287,980,402,455,888,406,474,107,542,318,372,609,304,
073,321,317,757,425,121,687,166,745,954,283,479,849,214,413,282,745,007,842,
998,989,630,906,773,703,132,188,824,988,143,157,052,998,922,072,913,244,186,
260,037,544,841,221,369,943,717,332,766,316,760,262,640,714,876,502,950,929,
060,749,108,613,818,328,404,921,951,277,808,122,201,420,829,909,871,098,800,
410,316,189,251,304,297,656,161,317,540,053,189,444,254,607,814,515,170,646,
574,914,681,324,277,244,828,718,493,359,665,237,317,173,976,261,103,054,755,
712,336,309,087,427,714,243,188,854,856,251,498,551,967,215,332,908,267,998,
225,242,512,365,094,302,474,713,401,021,384,485,867,278,818,749,337,143,096,
483,703,365,096,990,640,001,421,180,454,144,579,866,115,560,317,259,775,784,
084,320,518,827,625,976,476,008,422,194,443,822,617,785,009,957,307,639,334,
132,482,422,012,022,979,750,568,926,214,975,887,521,011,012,530,803,431,357,
012,719,642,429,937,216,030,492,174,874,652,594,032,415,571,837,246,487,998,
598,582,702,914,255,068,801,425,484,748,540,955,969,379,015,674,695,210,577,
144,387,428,255,023,460,759,244,488,711,260,835,598,121,609,537,721,653,943,
238,093,458,869,581,632,540,631,699,603,924,751,389,230,110,603,607,196,819,
916,895,526,797,946,665,632,738,425,560,962,652,829,673,337,896,848,409,968,
959,183,351,976,675,117,500,479,641,471,794,103,693,534,658,734,142,223,398,
192,145,523,998,388,332,853,263,735,823,725,347,471,600,699,535,328,394,167,
357,738,937,638,357,468,613,021,548,240,614,909,916,685,853,750,446,091,397,
113,088,003,588,807,432,167,553,785,734,058,595,797,245,875,887,146,890,170,
888,890,902,078,869,032,054,866,555,287,200,768,089,920,811,628,807,054,220,
144,539,942,553,719,923,687,661,183,915,444,117,839,934,152,315,983,294,149,
786,794,710,697,624,394,415,182,843,419,788,061,479,264,649,808,917,958,948,
368,076,694,515,522,900,203,038,018,066,479,631,027,907,969,432,687,784,903,
671,976,082,620,679,140,341,011,552,905,693,229,805,228,222,073,218,999,111,
183,859,304,438,505,243,234,022,173,551,033,346,758,173,616,758,449,667,941,
241,755,925,773,538,873,877,737,110,939,911,754,834,321,930,297,057,107,181,
315,388,754,502,257,522,666,222,649,065,052,277,822,816,483,254,762,933,752,
385,884,075,807,843,654,077,794,916,356,628,435,184,879,041,091,912,842,929,
369,124,867,691,496,748,281,691,845,958,916,126,219,431,492,252,491,817,596,
499,576,405,157,568,925,641,475,396,242,820,941,023,931,912,823,555,459,537,
938,923,685,407,197,846,872,942,614,647,998,823,903,270,923,735,910,670,012,
601,514,918,171,871,255,257,194,540,579,545,393,589,545,321,027,719,364,515,
997,404,292,116,846,313,052,635,479,481,115,767,740,515,388,294,092,587,266,
561,721,501,648,296,573,750,878,981,368,757,819,457,990,260,622,688,835,539,
285,809,010,127,005,238,591,920,789,960,922,679,021,439,431,336,006,077,926,
791,058,559,578,916,853,111,243,096,571,695,393,475,498,288,480,185,072,785,
040,983,745,847,805,542,374,760,230,682,014,978,716,125,893,904,763,160,488,
167,385,739,261,008,124,854,911,614,413,970,913,045,037,351,198,171,436,774,
885,143,741,480,034,508,424,339,639,196,200,066,127,031,383,536,359,139,551,
527,164,753,496,970,273,337,882,843,903,028,922,856,233,092,592,609,143,045,
634,100,987,676,366,772,764,562,266,551,193,783,805,186,935,132,219,687,419,
252,319,886,620,486,034,884,029,021,471,965,537,109,915,475,594,789,280,436,
023,695,831,946,816,888,382,688,832,008,627,190,973,680,576,600,931,141,002,
859,146,442,919,802,582,074,284,302,331,802,525,046,993,251,285,068,068,846,
467,983,567,099,060,862,345,461,250,900,576,415,461,164,160,224,627,979,279,
706,453,173,872,054,107,798,983,226,842,573,363,959,885,279,929,368,211,184,
160,917,338,798,164,699,224,031,122,134,140,997,689,087,131,657,528,346,392,
257,859,044,375,717,343,381,352,401,614,718,792,404,209,219,379,390,737,769,
000,337,219,626,288,764,406,016,795,352,907,343,316,482,874,530,091,502,514,
716,651,546,688,475,488,149,305,667,903,097,828,861,226,665,831,449,309,578,
624,210,014,540,994,564,747,852,650,056,762,990,752,867,057,719,140,733,552,
139,472,653,498,679,883,118,963,543,767,049,389,389,016,241,095,618,471,418,
827,522,233,730,718,288,270,801,064,573,500,902,849,533,445,461,805,884,741,
384,282,091,059,118,837,348,208,920,101,399,080,408,115,681,883,920,398,323,
379,552,851,341,955,408,707,559,822,557,388,735,005,043,627,060,676,516,494,
989,853,692,777,389,166,343,186,362,339,271,548,973,450,028,924,510,249,520,
738,202,446,616,633,648,012,814,310,439,849,766,305,017,462,979,175,101,855,
170,559,201,982,087,276,687,384,723,393,708,329,224,755,334,052,220,471,621,
938,889,998,513,697,319,238,625,735,887,661,508,503,036,349,821,384,927,740,
877,606,142,991,650,808,106,953,464,392,719,589,081,219,848,991,441,435,360,
695,426,388,986,396,747,181,251,889,167,605,244,159,510,022,170,395,430,271,
538,475,475,949,455,444,840,484,047,045,328,212,567,199,102,711,730,740,084,
212,076,299,749,524,493,545,773,085,915,026,156,142,453,993,523,406,625,597,
370,269,234,624,575,302,789,645,707,212,707,330,682,754,877,488,460,561,985,
618,148,269,713,533,295,538,004,112,300,799,181,077,158,401,512,928,522,072,
452,984,124,311,750,485,920,624,228,114,332,355,534,498,505,297,491,880,385,
330,472,480,512,546,252,747,216,385,980,098,991,341,536,889,931,601,247,376,
656,396,673,992,680,292,432,427,176,399,991,245,142,502,934,181,250,051,340,
152,505,347,676,781,842,463,596,070,196,011,156,090,902,640,956,161,287,821,
592,110,114,335,936,320,569,745,514,873,951,937,542,888,693,989,858,164,381,
933,720,251,989,899,477,211,773,559,375,565,863,530,035,268,082,342,720,861,
182,210,452,493,409,669,653,608,219,477,622,404,356,825,902,280,113,121,650,
426,316,879,048,658,145,348,658,293,059,223,078,063,851,672,516,746,009,305,
268,855,760,343,137,079,502,268,677,729,532,216,922,985,648,970,333,040,363,
599,397,545,237,680,089,226,444,870,345,343,832,565,555,241,932,962,258,676,
197,065,464,824,697,883,977,762,032,929,595,268,847,335,039,041,482,867,452,
967,534,733,533,972,309,552,764,769,300,086,658,374,989,065,203,893,073,960,
313,862,392,449,101,872,653,239,139,433,430,729,595,963,308,939,073,926,715,
645,544,368,402,829,114,398,033,028,039,406,139,274,254,747,857,667,753,613,
432,112,249,217,048,716,998,646,496,591,969,569,313,126,858,539,670,485,504,
587,582,323,854,748,499,535,812,659,631,981,505,097,962,672,353,517,081,768,
777,395,999,005,168,128,756,092,758,940,475,505,790,717,915,189,326,291,483,
184,661,798,027,972,927,905,508,155,683,555,433,375,403,024,335,177,451,181,
601,554,666,855,825,763,431,385,911,550,495,908,762,490,407,046,048,799,755,
968,341,550,990,275,155,525,279,225,580,607,697,119,828,517,057,247,901,559,
557,203,971,243,883,873,676,592,105,842,282,169,424,009,633,316,620,359,790,
982,490,500,178,541,863,658,488,682,234,101,473,832,382,694,592,471,617,689,
185,397,106,896,254,327,991,790,743,802,396,962,285,661,778,193,501,295,961,
857,288,236,592,291,087,068,428,312,145,705,898,737,490,377,061,114,302,461,
957,933,209,183,492,819,345,857,103,277,051,333,130,404,740,421,673,173,922,
832,272,546,256,007,684,095,277,612,801,080,110,290,678,310,598,916,473,641,
607,669,505,440,977,939,809,825,076,399,213,834,225,122,252,063,900,762,772,
327,691,831,075,803,976,806,546,637,240,260,838,972,424,971,471,902,536,596,
667,778,622,459,722,475,460,389,779,937,346,790,998,670,053,387,615,736,425,
478,563,279,995,388,176,787,068,369,895,445,969,079,176,114,261,928,571,782,
003,673,155,002,967,364,196,904,209,326,518,409,270,289,656,915,672,238,852,
095,051,805,340,581,067,097,832,119,247,319,645,194,810,537,972,073,776,826,
808,230,925,077,373,647,667,391,546,824,994,830,536,718,410,817,451,470,181,
557,169,956,528,744,121,625,539,708,738,751,848,257,820,962,390,705,686,545,
120,362,171,270,063,911,211,684,319,725,047,784,440,064,057,096,035,476,898,
005,150,304,953,587,274,694,063,100,718,281,363,475,507,102,970,297,573,555,
862,286,217,581,208,890,701,448,348,199,369,648,301,407,747,513,526,003,634,
023,584,030,660,921,621,178,134,759,479,061,005,631,558,214,907,651,148,642,
248,659,377,668,680,454,910,855,947,990,564,489,747,577,748,588,930,899,043,
842,184,185,568,473,977,008,991,924,449,595,238,353,187,914,519,139,983,654,
649,425,578,865,210,123,406,200,184,657,789,334,507,073,562,048,436,592,115,
329,815,155,561,979,174,677,870,524,233,004,257,091,281,188,001,356,973,053,
208,175,298,271,269,717,362,959,962,772,798,781,019,620,464,175,043,752,064,
910,553,967,559,037,312,535,791,883,538,023,343,728,489,019,448,593,448,407,
305,235,937,596,452,581,302,830,043,140,921,612,064,751,635,993,697,963,063,
773,894,053,641,087,035,238,296,904,525,268,245,535,464,081,948,356,580,484,
572,522,566,956,766,436,045,139,370,121,792,070,101,462,955,111,395,998,640,
318,105,612,181,181,536,160,729,910,503,504,232,618,958,187,560,131,740,130,
815,467,696,892,823,387,024,707,556,334,750,803,420,425,947,263,710,053,542,
931,550,101,561,859,852,942,908,806,748,067,864,821,093,964,425,508,688,450,
257,772,839,095,572,428,635,226,338,085,310,089,608,988,280,106,641,579,832,
773,429,833,285,137,571,086,975,546,228,462,076,380,191,438,637,522,623,487,
020,328,640,041,704,256,417,838,289,818,168,613,724,427,155,491,615,596,775,
027,454,320,483,938,523,804,308,815,661,048,312,196,098,489,883,830,589,145,
158,436,241,239,346,285,979,068,641,731,582,220,780,793,771,795,137,606,663,
984,474,410,975,772,683,513,049,037,213,541,166,153,985,662,829,375,334,537,
418,221,319,293,688,836,655,407,521,117,374,567,390,726,169,176,883,624,556,
339,774,064,221,845,060,003,135,136,182,391,260,155,402,968,846,838,486,586,
000,220,363,995,598,941,197,590,009,612,673,877,640,628,449,887,755,156,267,
796,233,386,878,388,296,248,484,536,739,171,448,566,006,329,085,490,886,825,
363,875,709,185,472,083,961,819,379,345,995,849,309,507,858,060,885,306,301,
810,933,364,705,693,030,068,899,953,732,874,919,458,811,272,988,629,115,415,
545,038,256,577,111,281,002,106,116,694,787,790,517,547,926,683,132,581,464,
227,079,836,281,123,023,636,165,886,127,880,509,873,802,964,818,983,296,440,
288,082,931,083,474,319,161,791,483,724,950,957,786,547,891,946,920,669,959,
519,599,174,056,617,245,825,219,355,199,466,514,957,327,418,706,166,509,124,
510,770,272,136,393,724,131,550,548,283,002,493,479,565,936,496,660,950,491,
280,097,426,108,075,709,906,584,221,122,549,048,478,845,467,936,703,303,938,
833,119,243,607,289,162,136,912,460,337,845,190,295,145,053,309,842,000,615,
094,265,199,561,116,643,591,698,212,361,128,037,960,173,237,023,095,689,131,
082,972,130,447,008,770,452,661,084,560,986,370,899,884,264,707,965,098,952,
426,821,744,184,556,405,447,952,085,520,680,965,898,395,110,628,521,924,833,
047,894,713,637,030,069,353,953,142,693,755,893,414,645,533,917,262,252,071,
428,083,743,407,228,231,454,251,959,522,022,356,383,051,387,025,812,946,881,
214,198,204,747,303,921,500,770,613,655,220,512,809,747,645,220,545,081,517,
490,480,263,998,673,718,004,444,756,148,208,572,318,050,746,854,561,158,783,
923,815,344,840,510,261,437,871,206,182,775,130,104,363,637,934,990,970,660,
458,744,560,312,399,151,973,005,149,426,943,060,600,303,599,278,118,978,096,
818,466,280,022,002,494,966,030,391,609,462,897,574,227,283,538,232,170,369,
979,842,710,480,017,589,532,659,431,730,637,994,124,664,364,846,342,860,066,
207,866,675,749,256,522,432,308,866,164,418,561,582,103,921,867,027,086,401,
844,192,301,072,197,184,226,393,792,236,169,307,028,228,449,337,970,251,034,
730,636,751,209,552,068,240,171,600,771,451,308,844,151,731,306,681,386,205,
591,495,879,174,006,132,247,660,307,916,369,703,444,034,164,086,331,765,381,
538,412,078,786,107,154,695,695,684,458,094,009,979,149,419,565,497,512,621,
991,378,612,459,264,160,252,899,867,612,977,504,154,629,039,464,526,628,846,
002,684,676,097,441,726,515,957,029,946,008,630,901,016,285,183,684,075,797,
948,424,408,056,686,753,552,042,838,306,313,747,418,642,730,456,151,969,477,
249,762,985,466,568,139,672,103,287,336,462,127,425,788,454,370,472,605,058,
612,466,930,398,332,508,689,456,465,033,552,000,426,821,655,312,126,611,194,
052,488,401,901,604,534,214,935,447,803,333,847,650,365,379,058,101,808,937,
827,023,991,484,748,492,388,514,017,548,849,403,634,402,958,033,378,380,279,
353,727,451,241,005,896,338,505,472,362,400,688,511,537,040,425,191,845,125,
597,277,859,402,831,871,372,146,148,356,544,561,505,942,439,811,106,320,645,
974,102,851,240,103,596,524,413,581,571,891,711,232,260,068,242,838,965,325,
950,863,620,023,493,216,976,666,078,191,077,118,047,338,885,895,714,599,521,
609,260,966,669,133,543,660,617,246,134,748,211,648,365,191,972,632,595,444,
935,859,338,895,780,378,901,057,349,074,234,341,869,575,612,634,230,736,234,
467,571,074,590,547,679,079,529,182,729,775,951,967,757,786,411,722,635,241,
389,946,095,926,337,899,598,362,930,699,932,869,810,880,025,709,589,161,530,
846,517,176,654,344,397,740,972,525,640,355,537,841,154,488,848,150,241,386,
659,445,996,304,766,134,219,627,203,945,657,948,602,612,045,761,971,721,200,
091,643,878,029,262,307,977,774,182,590,030,597,141,060,176,636,887,195,955,
993,195,747,740,732,828,197,394,976,763,055,762,053,893,689,894,515,080,450,
439,788,067,451,947,429,808,986,098,424,966,721,146,982,676,317,212,726,901,
635,431,088,018,627,030,708,197,409,560,744,525,902,226,513,808,805,747,517,
768,667,615,892,765,182,148,580,633,461,583,046,206,775,459,728,946,255,116,
414,335,950,611,875,695,813,444,500,268,091,873,990,189,353,898,875,059,595,
925,615,302,924,743,847,337,487,516,123,923,331,754,097,890,675,044,078,759,
133,613,672,873,514,340,799,056,702,314,769,522,471,977,829,409,451,545,510,
483,566,367,818,339,035,866,251,552,492,963,631,595,405,759,860,307,909,095,
709,835,517,858,263,106,047,093,156,253,964,587,625,451,076,109,891,591,013,
091,158,000,029,383,661,877,264,124,856,704,053,466,012,547,844,960,146,766,
168,052,102,787,702,651,582,478,043,001,083,731,210,913,188,296,915,779,073,
695,067,739,881,669,979,335,151,458,317,134,491,045,129,939,785,868,714,223,
389,492,856,494,808,188,399,663,664,494,690,718,201,665,814,702,825,730,018,
244,412,835,383,701,008,263,000,623,858,797,949,686,151,482,798,249,644,749,
602,880,405,333,774,662,456,976,821,835,817,599,081,099,037,979,007,706,225,
736,749,219,115,285,946,034,053,305,881,483,042,098,558,736,082,197,728,415,
997,593,265,516,198,118,402,324,544,142,795,901,831,321,145,399,753,426,947,
115,497,366,392,675,042,986,142,793,804,026,875,061,753,963,884,488,297,571,
972,929,362,315,164,480,446,750,504,540,139,782,530,242,225,947,449,464,501,
121,426,763,721,733,755,072,824,143,354,509,257,551,817,170,392,108,769,197,
321,312,229,430,594,455,544,776,473,904,038,125,425,887,848,020,624,269,727,
548,480,135,201,364,868,526,167,059,415,946,425,074,611,045,040,457,432,405,
039,805,634,794,887,818,871,219,657,944,819,038,848,496,382,789,071,145,188,
847,898,920,005,638,587,120,725,397,685,321,181,105,475,890,666,705,403,314,
363,953,992,819,214,099,968,474,053,813,423,228,037,051,721,871,195,753,724,
897,598,953,624,107,085,016,919,974,430,631,790,611,273,204,925,588,545,473,
249,108,067,900,440,423,139,952,756,652,888,553,728,542,183,661,313,559,120,
069,299,742,216,069,546,448,319,461,662,045,956,381,023,836,253,802,944,937,
350,241,483,232,469,250,601,942,677,244,614,863,008,946,683,785,736,371,850,
101,704,806,737,129,670,781,339,141,649,784,951,754,392,725,702,432,943,447,
957,491,397,699,706,971,034,802,301,919,918,476,932,131,577,609,648,875,985,
064,210,625,388,293,685,051,444,265,526,940,858,967,572,061,225,381,484,471,
783,571,013,187,318,502,606,816,837,243,079,743,377,538,524,153,478,241,085,
353,456,728,913,262,280,599,739,593,333,463,989,711,223,203,051,271,007,982,
845,488,762,448,142,651,923,485,852,988,662,056,212,167,509,677,959,676,550,
009,477,224,571,321,687,344,250,944,029,338,869,515,500,285,015,704,626,849,
848,328,949,549,539,821,370,147,583,552,947,846,358,094,928,231,421,362,021,
956,562,528,209,249,072,636,015,657,921,541,188,782,096,114,574,472,071,557,
880,064,237,328,275,941,099,776,849,764,092,893,250,365,460,480,769,585,045,
116,280,023,265,514,442,935,382,125,157,614,737,329,787,653,275,309,372,841,
425,250,912,948,478,178,569,751,613,187,089,806,920,098,339,908,063,620,773,
494,854,992,056,315,354,367,899,360,933,735,828,152,125,626,989,306,425,001,
438,372,792,123,524,004,971,214,519,524,422,742,860,565,656,574,831,351,197,
723,931,541,430,379,678,045,886,499,049,105,620,529,775,915,946,672,411,849,
584,523,258,502,018,231,549,860,861,120,209,726,588,371,436,550,692,237,946,
417,440,650,058,856,439,108,885,140,825,172,977,429,280,459,132,192,638,313,
139,978,673,500,063,774,424,560,344,427,609,493,090,112,696,853,923,520,128,
371,222,922,200,427,295,683,830,963,099,327,765,450,358,219,697,025,176,337,
152,962,935,749,981,775,394,140,541,572,074,659,443,509,161,506,054,352,120,
069,311,130,954,483,154,447,713,848,911,273,206,489,354,842,748,446,277,034,
482,997,688,823,794,512,825,110,484,041,130,008,443,949,267,642,689,956,956,
221,397,396,970,631,115,947,680,933,304,523,865,304,758,458,787,810,901,269,
952,441,215,440,186,713,908,402,511,653,324,518,039,489,885,562,279,419,194,
628,992,911,075,805,885,513,815,105,012,050,000,589,298,437,962,703,499,365,
560,480,697,400,757,963,560,903,251,953,389,650,877,737,359,544,966,107,675,
628,653,534,642,693,497,795,889,180,746,680,480,089,471,269,272,274,622,225,
464,447,187,835,687,722,227,287,662,974,269,320,709,388,004,233,334,073,444,
643,696,711,517,140,093,708,030,691,073,308,830,407,469,538,994,878,097,053,
007,123,989,505,550,757,205,295,924,520,073,365,029,911,759,541,852,124,458,
408,570,377,256,721,525,025,250,452,956,644,805,190,951,348,410,063,639,761,
140,941,961,876,432,728,481,182,373,723,606,101,294,297,072,344,554,917,498,
596,348,390,057,051,236,896,653,822,724,324,274,470,509,938,733,431,696,731,
826,439,178,343,445,331,755,240,709,623,423,168,442,875,274,782,881,031,524,
749,641,641,428,276,634,414,551,486,699,709,925,848,432,946,410,263,000,633,
824,436,938,081,968,884,090,731,505,361,470,534,587,732,626,649,329,823,573,
103,142,482,837,776,079,497,619,834,075,215,801,535,414,052,054,363,182,616,
727,849,858,580,097,817,170,703,090,743,710,482,698,506,359,794,586,808,701,
629,701,518,904,735,817,692,537,288,176,436,642,269,842,495,032,885,356,360,
225,843,156,800,169,231,062,901,938,836,846,312,792,071,131,693,080,136,955,
409,919,249,878,969,876,698,623,979,757,998,613,126,909,878,715,854,778,273,
217,906,098,112,615,182,773,245,580,093,260,924,539,605,682,415,724,498,350,
216,254,677,286,984,840,191,415,417,481,303,571,957,397,275,224,055,093,869,
587,187,445,513,479,134,741,255,772,469,585,018,208,121,270,084,578,138,184,
253,016,615,465,701,667,295,948,787,826,999,978,974,391,730,171,281,397,208,
860,609,668,025,666,430,322,664,395,367,116,693,290,856,323,906,344,998,349,
999,706,527,862,594,815,118,109,727,295,653,559,944,146,822,129,733,006,526,
832,044,837,304,295,818,292,673,964,771,363,379,148,796,439,812,124,901,807,
180,459,599,387,334,351,590,700,363,158,543,855,861,439,072,254,052,553,193,
775,418,501,616,437,359,018,088,802,204,545,157,851,004,079,284,674,114,543,
422,051,557,298,598,230,643,935,714,606,919,871,421,309,605,431,028,358,990,
625,909,850,731,405,526,203,648,180,787,195,909,981,505,086,238,100,960,077,
169,846,959,012,865,324,140,701,173,983,112,966,468,753,156,061,093,500,851,
644,596,366,363,245,316,313,552,158,518,084,035,122,079,107,553,331,924,127,
144,687,735,159,786,656,548,690,191,275,481,962,096,666,649,805,939,144,200,
863,337,459,794,443,831,882,840,746,554,861,995,450,044,551,309,961,253,993,
026,004,444,654,993,654,866,008,557,049,934,879,286,542,583,829,241,970,822,
368,973,514,377,950,188,093,470,931,788,189,802,954,340,644,675,155,699,696,
943,641,922,420,226,146,197,736,453,290,970,719,932,180,336,635,780,320,572,
341,860,834,682,580,319,463,830,976,972,204,354,505,917,733,591,951,134,725,
795,213,343,818,751,853,346,885,903,804,243,431,629,957,938,761,623,340,248,
401,751,454,788,625,060,198,446,049,099,741,499,408,055,938,642,015,812,184,
129,101,713,463,916,577,510,017,706,753,207,738,552,034,742,737,495,249,624,
608,491,671,099,499,788,443,671,962,230,264,105,883,412,270,810,621,180,687,
692,586,925,252,408,065,963,432,137,204,357,236,880,124,730,736,455,751,731,
918,361,817,598,965,321,374,948,029,571,967,651,640,779,056,310,338,422,419,
694,597,004,282,447,361,755,682,450,973,097,046,356,689,744,381,454,949,041,
459,992,134,217,302,779,623,174,352,322,447,924,631,025,023,169,922,301,710,
902,372,274,295,291,289,405,347,813,674,366,778,864,121,872,271,754,841,126,
578,625,227,461,290,813,177,623,932,354,937,065,921,133,623,195,565,490,865,
629,216,315,512,939,326,755,159,207,424,307,745,407,184,484,079,104,233,952,
135,461,267,035,973,356,209,548,666,520,964,288,647,826,208,616,959,347,136,
368,478,380,013,722,023,267,979,338,279,361,151,542,745,203,797,924,974,615,
327,212,711,542,165,052,829,550,481,623,147,312,724,667,856,091,102,291,524,
991,142,564,563,770,412,636,165,172,947,284,839,166,535,187,828,427,182,082,
813,541,730,471,655,105,602,887,435,303,925,382,084,415,735,276,278,732,611,
241,416,926,359,861,240,858,576,977,511,149,335,375,630,900,825,210,966,737,
399,496,088,256,754,929,103,818,239,994,341,781,233,054,712,577,584,862,231,
138,255,446,742,513,388,257,047,413,663,733,656,425,582,681,329,698,150,841,
349,011,522,557,605,028,701,435,618,018,926,116,329,409,141,150,569,402,769,
115,355,008,214,340,860,054,089,393,800,919,551,700,127,147,357,480,422,829,
813,901,894,024,372,356,333,586,523,580,011,929,740,595,051,180,286,164,142,
702,120,606,824,162,560,783,471,023,269,070,203,025,429,910,760,930,436,015,
912,490,946,194,637,805,108,123,866,594,624,051,355,389,377,213,533,213,310,
335,207,331,606,643,538,957,660,180,311,917,233,860,207,932,691,785,831,900,
066,062,721,201,463,638,010,072,887,111,009,859,179,912,530,975,462,980,345,
623,593,715,578,238,490,100,495,682,435,276,606,520,118,420,657,313,189,928,
895,562,248,131,889,546,617,141,448,792,774,780,380,308,809,203,522,041,281,
159,574,731,108,465,645,126,927,398,179,156,914,346,591,452,621,194,943,421,
156,585,034,664,678,030,810,159,772,415,119,109,752,926,291,019,730,265,712,
445,673,866,948,576,696,616,403,315,164,903,366,088,269,393,886,826,772,586,
095,840,754,411,777,640,283,477,253,022,129,333,763,985,849,482,801,023,778,
252,196,922,354,245,500,029,894,344,801,727,675,477,127,309,982,964,177,352,
093,377,234,567,936,494,901,680,761,277,493,882,694,952,811,043,120,392,532,
094,850,032,486,729,284,870,897,652,927,551,970,910,152,608,413,142,461,953,
943,410,098,779,812,299,652,549,920,387,514,362,696,051,530,911,493,651,529,
802,351,435,213,098,527,862,156,365,453,835,807,997,035,782,311,294,490,784,
676,639,983,446,789,332,090,703,027,787,288,178,165,194,152,355,983,199,394,
629,064,124,864,414,495,842,158,828,774,961,797,144,355,493,458,269,662,530,
406,170,292,911,790,621,611,096,059,398,313,516,654,580,038,629,988,424,084,
425,254,859,479,868,187,202,701,693,510,350,257,665,973,998,307,481,645,656,
434,984,777,266,150,338,315,015,355,472,210,062,398,256,599,466,065,849,342,
908,344,026,553,075,000,557,839,727,985,558,900,540,597,213,392,922,879,882,
411,471,982,918,689,507,707,405,565,898,584,468,208,917,407,358,152,518,472,
648,256,197,897,362,814,639,471,838,154,192,320,470,677,593,351,102,562,363,
212,466,807,393,304,219,542,408,562,269,233,099,177,216,235,154,642,727,977,
258,328,592,029,320,980,409,203,510,832,418,519,406,265,085,936,887,414,006,
022,791,743,618,100,631,393,738,618,004,164,538,297,052,419,796,945,576,997,
247,940,893,795,972,713,773,181,385,872,691,436,864,289,897,370,081,318,955,
770,888,150,639,914,563,826,405,379,659,831,254,081,546,267,790,237,363,532,
169,693,469,034,278,763,043,993,494,996,085,327,762,544,274,502,438,922,157,
251,364,753,748,511,729,274,252,439,302,716,444,732,220,505,842,276,085,749,
811,854,552,268,957,870,069,654,722,194,432,980,209,012,623,719,314,206,864,
931,410,883,956,405,093,044,962,156,816,975,811,331,928,105,015,244,460,005,
368,922,676,848,482,014,087,059,884,476,442,252,963,973,853,135,358,667,771,
762,387,249,326,145,455,481,185,820,983,288,399,253,812,112,368,715,795,945,
255,556,679,035,391,742,417,299,063,323,345,433,138,368,115,516,655,600,054,
637,613,712,831,773,293,653,530,604,300,673,234,343,849,939,941,341,914,536,
246,031,777,314,970,812,311,374,386,641,703,915,879,764,394,235,669,902,215,
950,741,936,211,733,427,927,654,127,708,815,257,759,158,206,727,971,133,454,
582,779,040,127,691,326,077,718,446,555,148,999,268,520,558,675,412,793,690,
189,098,621,230,775,000,553,566,405,900,539,716,555,095,902,214,769,203,719,
065,031,011,925,522,019,167,120,594,925,912,431,403,491,916,073,358,581,600,
136,194,114,668,365,365,550,051,683,870,978,603,505,407,214,770,200,799,632,
186,618,351,065,885,107,129,763,578,221,459,769,941,539,311,557,845,823,283,
115,292,016,765,631,674,845,668,140,404,817,742,320,667,084,146,623,061,239,
603,219,141,001,358,658,794,431,137,429,859,267,996,404,754,409,147,084,839,
683,269,347,881,136,503,391,043,041,425,393,614,122,675,788,859,437,315,105,
253,935,658,580,446,629,072,983,938,679,742,135,140,948,979,596,498,876,407,
035,414,474,139,397,583,995,203,223,666,122,729,616,029,002,540,251,526,509,
153,239,578,545,926,083,775,208,660,106,252,471,173,113,158,446,746,955,858,
513,634,963,683,194,486,324,501,134,703,345,739,862,865,085,755,955,547,582,
426,434,777,352,529,185,783,832,362,281,927,405,027,197,901,044,473,036,555,
064,039,528,179,158,994,376,997,699,012,591,813,551,248,001,283,679,461,939,
884,934,193,473,941,792,372,828,479,941,400,647,119,189,468,761,815,015,433,
280,085,222,776,123,736,562,755,710,561,223,169,409,463,255,929,424,772,474,
621,919,120,919,181,490,268,465,246,667,946,592,529,979,424,667,266,873,371,
605,228,509,908,599,286,639,178,682,462,746,027,534,664,088,673,207,529,548,
052,857,834,268,952,221,470,942,323,500,828,096,573,088,143,675,918,801,902,
253,993,473,304,411,910,847,179,101,823,652,573,712,047,949,868,871,453,196,
520,719,746,379,999,467,038,335,633,169,952,453,773,484,078,190,972,940,019,
414,094,213,098,756,764,423,816,754,303,017,496,767,475,133,042,159,428,474,
409,795,770,321,095,543,847,936,019,381,877,669,849,315,521,630,194,789,777,
978,867,290,490,634,085,675,600,212,285,055,505,612,185,901,950,827,895,334,
154,659,322,461,778,003,887,666,531,281,465,764,599,804,630,174,183,622,311,
860,371,037,801,553,530,737,622,971,417,085,366,719,711,029,756,838,776,411,
426,386,708,472,962,555,464,952,940,504,760,025,428,911,175,817,125,326,193,
499,438,456,685,474,862,657,160,098,783,837,583,466,890,178,086,822,163,993,
459,435,185,307,922,639,021,106,215,970,631,639,002,315,211,406,701,104,370,
208,325,808,836,945,480,048,083,096,169,232,865,122,926,745,488,214,315,578,
302,973,223,695,319,504,146,639,219,207,409,471,293,492,367,940,081,162,364,
625,273,580,326,509,790,781,790,928,258,193,000,035,261,628,648,119,467,993,
268,498,858,437,252,502,813,276,663,174,377,913,467,023,478,752,238,885,764,
814,993,827,445,951,373,370,352,522,858,419,007,725,157,055,482,210,718,576,
489,256,890,528,037,782,596,697,525,254,742,676,334,129,306,637,986,390,154,
590,973,497,852,195,443,569,646,603,896,118,703,319,889,423,687,096,043,470,
629,392,403,393,520,097,172,084,172,927,811,097,961,804,980,832,045,120,456,
311,490,675,179,543,254,255,345,212,354,466,968,796,476,874,684,331,160,261,
348,983,851,017,360,810,363,057,013,661,803,147,152,336,567,598,318,715,155,
730,759,943,061,072,902,660,553,606,702,566,684,039,415,339,926,651,073,593,
148,133,956,479,985,962,220,168,655,805,727,177,832,751,599,423,483,108,910,
592,371,656,934,988,469,190,460,078,503,708,884,537,017,625,443,748,518,327,
682,203,661,447,231,812,522,431,920,124,365,566,707,470,138,913,548,199,528,
545,251,149,284,399,276,716,414,245,420,483,895,006,912,152,865,473,036,678,
464,369,015,112,081,381,586,052,168,052,063,828,961,947,323,848,146,326,945,
990,064,034,667,441,595,301,126,045,820,457,882,951,413,463,822,608,053,722,
531,300,505,163,378,270,888,610,754,222,524,437,303,020,595,437,034,045,037,
565,024,693,879,200,732,443,435,232,230,587,234,340,917,730,869,235,607,864,
258,655,538,642,653,994,018,451,865,354,736,678,462,540,302,537,662,012,061,
567,134,323,325,352,100,539,658,133,116,498,844,010,839,760,405,651,941,730,
554,916,607,310,341,197,278,220,340,663,590,137,399,596,302,807,485,130,916,
714,951,263,314,606,449,450,168,355,249,149,437,180,829,338,943,498,258,133,
253,054,278,848,391,839,604,625,778,039,028,882,417,020,924,502,113,988,002,
414,115,206,143,971,986,120,861,471,199,890,176,694,060,246,367,175,121,408,
411,000,329,032,607,513,495,152,659,286,662,087,661,551,926,932,475,599,003,
003,288,072,635,608,155,946,289,220,068,813,595,587,306,261,775,782,466,127,
232,114,062,784,523,128,959,776,433,731,709,353,486,597,048,078,621,947,001,
853,378,558,531,570,826,228,036,678,798,994,988,510,422,828,026,939,630,605,
175,354,762,096,624,319,084,068,902,890,193,741,722,420,031,776,004,940,380,
500,603,643,855,327,373,282,948,887,167,771,188,660,307,628,974,941,314,683,
870,951,284,468,317,045,449,666,638,279,267,779,507,256,769,396,268,739,510,
497,588,793,556,930,322,328,185,189,979,108,385,432,013,286,814,929,018,459,
318,994,288,510,200,572,326,492,860,473,777,201,218,723,340,376,446,382,638,
352,951,687,312,356,311,640,784,814,817,861,353,104,921,286,096,787,154,257,
786,468,218,533,972,799,108,990,685,781,733,246,439,788,528,878,874,064,707,
687,791,859,972,375,350,326,111,133,927,622,641,052,531,472,689,528,349,631,
051,424,741,230,784,198,658,101,109,961,870,449,617,794,948,937,750,484,020,
005,332,933,098,022,882,682,890,050,043,523,685,660,376,098,252,343,197,544,
946,907,834,995,825,978,145,003,165,854,339,748,305,675,932,111,223,319,450,
200,703,709,651,861,860,335,744,185,869,421,130,811,890,284,943,946,561,987,
554,197,896,041,679,927,738,715,148,293,966,066,551,150,348,135,728,173,892,
353,353,493,772,588,342,144,063,395,286,146,500,454,065,847,776,082,656,981,
900,314,588,364,708,723,809,971,468,413,772,403,175,587,613,580,665,729,243,
029,072,586,757,449,232,794,439,414,765,780,114,911,555,485,907,228,302,910,
601,958,967,681,830,657,824,431,821,241,965,551,305,949,229,430,500,874,656,
411,768,010,164,186,639,840,483,925,322,012,042,491,638,397,798,834,859,387,
811,637,011,588,707,887,295,699,675,246,538,403,291,359,811,068,400,844,421,
909,835,719,506,474,358,256,658,602,998,326,712,545,269,756,058,939,635,697,
531,342,040,941,748,844,453,467,211,015,523,779,429,236,625,591,502,766,882,
890,227,549,386,986,353,892,151,812,560,215,481,918,183,276,681,056,985,614,
284,874,431,526,912,654,118,307,049,826,758,280,329,038,589,215,312,283,730,
530,904,286,894,461,893,494,394,391,944,910,197,524,797,118,358,610,057,911,
202,555,414,292,176,993,011,715,139,570,745,273,906,798,436,666,488,257,974,
945,984,611,162,761,394,779,351,856,305,077,619,056,531,378,490,362,703,755,
006,160,979,889,425,649,278,080,785,482,860,488,440,845,316,768,138,568,061,
091,616,868,829,501,428,633,417,812,104,524,123,034,901,364,062,523,170,006,
066,584,837,710,052,796,609,705,385,028,976,717,180,078,158,910,765,164,924,
004,768,851,086,154,904,565,286,717,201,874,222,040,325,299,594,398,221,145,
917,591,956,302,187,987,152,560,959,228,124,101,899,057,056,970,897,317,735,
201,545,471,873,295,976,911,505,515,963,977,523,788,221,289,892,694,522,758,
266,936,652,018,927,451,716,365,133,637,920,931,200,152,271,422,850,259,652,
509,952,629,000,916,882,153,291,463,755,497,363,357,224,874,524,669,711,724,
943,133,906,760,083,338,398,425,644,077,568,489,373,595,102,308,389,191,290,
798,555,847,306,453,287,238,136,163,774,116,236,135,695,849,614,266,473,732,
221,179,265,568,474,786,109,402,729,841,935,321,639,137,167,556,649,896,035,
808,258,804,561,085,034,863,451,533,353,247,582,924,541,385,511,659,908,143,
821,884,761,062,703,220,454,968,094,933,810,222,321,555,962,542,043,334,991,
167,879,667,446,121,997,697,898,946,239,048,029,921,300,518,966,152,936,832,
983,193,069,326,997,742,409,851,531,447,703,246,863,043,400,094,656,729,069,
198,116,866,662,445,127,396,743,206,480,943,458,971,695,386,959,943,704,806,
622,707,282,815,173,803,083,638,100,818,997,895,741,730,309,056,021,781,594,
876,132,127,585,723,909,983,431,072,450,464,540,078,996,792,495,724,119,305,
703,698,962,184,410,407,572,849,959,541,787,763,858,510,483,397,119,414,307,
087,681,990,441,841,664,226,211,545,419,285,591,194,131,486,124,953,154,361,
452,589,056,778,923,984,081,506,766,350,357,070,261,516,638,403,945,569,967,
868,581,840,408,866,891,664,932,925,218,723,238,867,800,984,759,720,402,380,
447,505,590,448,420,921,099,570,946,799,296,144,441,448,039,131,142,870,238,
262,042,157,110,880,673,656,492,068,803,713,595,199,989,120,530,132,490,161,
815,664,794,472,730,568,774,984,094,020,613,563,296,022,065,221,005,539,481,
767,213,787,315,134,305,639,751,250,995,112,738,504,544,604,491,440,263,883,
964,340,865,420,396,366,304,351,271,932,892,898,499,816,430,888,102,244,031,
161,308,212,253,345,677,914,779,340,378,382,362,417,604,159,933,907,462,449,
627,112,018,696,046,814,087,482,100,098,418,266,506,991,308,579,580,289,765,
912,743,179,100,375,585,288,655,783,778,153,163,267,445,061,347,129,554,291,
047,777,306,798,188,793,269,688,638,749,822,090,739,868,777,290,536,251,470,
534,900,854,414,550,206,821,543,724,114,714,290,625,105,197,661,453,638,022,
839,741,374,470,476,054,175,682,714,927,122,461,528,222,995,962,172,615,807,
108,755,996,007,330,718,174,788,833,979,007,067,023,219,663,139,532,113,934,
148,353,298,259,364,416,499,151,185,459,356,785,624,397,662,028,158,440,420,
818,315,771,696,611,419,124,290,650,379,729,056,708,230,195,757,337,805,138,
197,439,161,345,292,757,743,558,589,184,223,889,845,684,472,082,709,631,411,
105,318,606,318,243,398,414,002,118,602,513,234,368,354,092,722,565,610,822,
587,502,316,204,787,165,427,195,610,242,135,599,951,095,705,111,871,631,155,
625,749,550,112,209,984,205,615,374,546,570,032,795,264,189,189,745,470,815,
213,516,556,446,300,298,136,705,615,142,649,142,612,036,658,614,426,606,073,
862,212,687,763,025,213,022,078,052,875,220,624,499,146,368,711,136,391,480,
608,204,667,692,815,921,316,059,811,505,108,896,003,552,007,023,961,494,007,
126,718,144,720,703,875,831,879,114,213,408,859,084,974,215,488,506,460,670,
159,766,801,273,714,852,406,018,712,154,203,839,919,649,756,491,843,376,567,
544,048,468,268,147,649,897,650,440,634,958,169,531,074,664,803,798,470,851,
764,442,703,965,324,801,525,949,715,456,577,586,149,011,774,480,086,717,748,
465,917,035,847,186,197,781,732,581,739,818,364,051,295,489,726,540,500,263,
266,751,029,414,662,497,748,333,441,807,608,826,002,480,464,576,849,116,512,
481,933,423,199,332,467,610,880,900,713,241,111,586,663,576,927,374,190,046,
486,855,193,331,570,603,400,613,026,824,556,080,791,693,663,391,613,297,595,
597,061,351,817,604,620,001,709,017,870,108,529,448,632,547,157,099,480,187,
521,716,305,797,887,417,602,954,009,235,800,870,861,897,253,078,747,348,458,
253,132,030,998,976,972,007,162,958,882,433,574,418,690,626,039,060,736,612,
673,006,426,528,079,423,957,502,801,537,904,610,307,271,670,097,978,621,263,
650,138,332,822,589,768,138,395,277,854,068,687,906,392,886,504,150,277,496,
957,356,524,621,928,842,878,399,042,666,818,633,171,797,648,537,979,844,701,
246,537,880,199,730,769,860,085,432,308,121,323,120,802,702,692,717,669,675,
874,117,594,009,883,935,736,916,674,154,688,490,024,697,161,413,451,024,369,
112,536,853,147,818,152,801,335,501,294,774,694,636,070,843,530,255,734,853,
981,070,949,388,473,865,124,296,657,881,852,286,491,837,242,425,276,797,479,
920,609,034,736,097,931,074,603,819,812,364,188,417,123,318,122,965,869,043,
171,693,850,043,105,823,546,967,490,712,895,167,538,631,672,729,202,623,593,
976,871,165,669,279,087,998,575,044,547,247,013,735,326,856,940,976,275,865,
837,556,302,978,933,267,593,218,566,269,481,528,458,691,880,883,773,115,034,
805,993,180,587,959,176,083,747,829,441,945,920,813,439,577,730,583,077,220,
739,880,885,537,298,804,854,672,319,915,144,000,498,239,464,240,473,976,263,
027,625,508,192,093,074,975,975,734,528,042,539,289,787,969,973,636,358,683,
982,288,561,668,886,981,060,345,400,843,785,357,276,153,910,717,022,557,605,
022,007,751,788,854,146,572,861,920,069,599,159,314,218,363,305,535,418,783,
380,298,035,886,060,268,358,044,410,568,445,585,777,583,967,197,630,471,381,
535,831,160,979,660,810,624,320,672,992,250,188,503,887,609,516,324,334,007,
160,353,918,226,074,047,914,354,268,701,327,953,687,925,410,263,666,265,923,
993,498,900,339,845,355,631,556,377,484,105,871,555,791,146,832,169,407,351,
759,480,195,327,894,297,161,250,265,789,348,675,438,364,576,047,418,963,763,
793,414,230,611,835,654,078,413,063,151,353,765,147,917,933,526,123,327,826,
318,359,844,494,035,546,361,813,665,678,737,757,760,763,273,146,710,318,482,
410,727,491,575,051,718,687,513,991,837,672,392,762,513,418,898,150,540,896,
096,230,305,921,964,302,965,723,104,441,811,910,421,658,211,008,451,991,553,
345,872,381,765,068,883,379,314,786,116,831,882,504,960,233,498,258,278,451,
537,710,493,874,757,599,544,159,402,001,499,626,703,348,763,845,215,299,296,
344,704,386,560,410,771,307,622,802,758,489,966,621,903,201,520,716,744,262,
073,963,793,809,888,867,228,559,059,400,169,624,366,263,658,495,236,361,035,
450,881,029,996,445,092,909,450,859,980,842,552,892,857,958,522,603,677,399,
109,961,693,384,038,655,824,820,233,579,390,198,235,246,231,544,079,479,929,
844,033,009,353,964,500,377,222,020,175,368,579,772,374,823,498,887,564,646,
075,445,643,765,150,185,889,049,731,432,807,733,479,369,923,322,492,749,676,
553,730,786,764,655,037,743,237,505,080,467,266,721,456,758,180,750,929,421,
162,589,943,574,120,322,270,592,240,612,036,674,295,572,297,629,719,325,315,
808,281,794,150,769,376,352,460,573,342,648,921,801,589,142,566,222,893,307,
320,408,316,924,750,262,242,883,879,399,739,567,170,220,003,625,063,741,566,
357,488,572,732,688,072,817,753,625,691,486,396,229,484,464,410,732,396,197,
760,098,641,875,328,645,125,409,584,983,282,329,612,444,455,650,765,956,704,
192,091,103,923,461,996,102,026,265,346,122,219,560,723,533,022,917,562,231,
143,087,683,223,324,375,279,846,132,238,614,180,742,612,690,694,927,893,927,
692,557,824,700,323,260,697,127,056,037,307,272,141,164,209,537,103,428,798,
793,410,505,951,698,886,725,252,178,585,444,784,600,018,165,172,839,937,549,
941,887,843,767,092,459,843,398,730,385,253,353,477,674,660,483,929,578,429,
570,486,212,024,698,686,054,926,426,963,710,962,216,885,269,920,385,165,941,
274,375,528,634,305,923,478,914,038,880,896,698,969,414,100,485,557,075,514,
159,452,546,179,370,855,486,719,595,999,834,336,620,920,245,965,930,878,476,
323,763,302,369,820,242,899,920,503,524,508,724,003,168,809,706,851,164,299,
410,313,728,947,127,619,123,132,012,453,942,215,769,836,128,865,569,109,833,
061,256,249,382,026,756,487,484,385,639,415,227,917,053,349,681,803,031,625,
863,418,706,467,522,747,938,741,364,668,016,087,401,774,186,959,935,016,035,
725,055,525,325,776,276,072,380,318,489,261,788,622,638,308,118,183,795,903,
918,692,700,970,202,479,120,628,210,857,667,864,769,536,371,071,658,259,025,
295,819,738,764,199,295,584,190,867,791,829,454,035,208,360,956,520,956,998,
994,815,722,117,491,677,653,315,056,060,517,017,277,789,926,299,669,966,087,
978,834,211,285,348,506,794,610,736,420,364,930,889,418,581,580,464,268,817,
316,130,654,668,514,667,085,314,458,476,409,978,446,953,490,231,427,508,316,
962,451,550,011,606,293,150,877,606,753,918,940,892,834,778,739,529,549,969,
783,924,775,523,114,143,778,660,361,435,589,160,791,683,704,398,845,742,560,
341,431,072,263,556,100,874,798,146,766,513,810,061,616,031,437,990,076,870,
952,994,469,073,204,726,693,654,439,425,677,280,090,791,795,026,880,887,033,
209,645,954,313,045,372,888,711,232,980,432,942,809,405,427,637,809,159,925,
889,812,038,255,699,396,289,429,924,075,049,415,756,254,907,656,818,826,561,
764,321,199,077,901,695,155,658,058,156,102,628,683,960,727,450,557,928,641,
653,380,971,609,663,903,060,952,744,751,301,034,193,647,976,552,247,084,980,
937,005,993,716,855,214,402,791,803,025,980,275,695,602,956,832,292,175,103,
260,638,985,950,213,808,453,254,840,635,331,970,987,400,375,804,651,282,571,
439,784,932,156,660,848,135,653,219,532,707,183,379,419,312,180,865,514,790,
825,090,072,618,154,478,140,735,519,229,672,038,707,683,373,448,565,979,099,
898,658,593,803,549,261,681,139,211,543,044,424,013,458,218,150,472,323,304,
625,313,885,037,801,092,764,481,548,762,780,739,210,263,648,775,386,934,972,
438,544,531,110,114,919,898,387,012,607,036,689,363,395,178,507,099,416,917,
347,007,002,099,818,933,755,643,381,490,696,827,345,694,787,770,456,620,062,
925,072,357,743,367,869,238,629,404,552,436,797,011,859,956,900,112,737,965,
820,926,043,965,626,850,275,982,858,935,901,649,033,288,985,498,980,576,526,
586,448,694,431,665,507,148,451,367,471,053,125,764,400,183,408,711,660,700,
563,886,036,292,515,933,835,849,604,600,648,147,441,567,325,090,192,771,482,
303,953,980,675,487,872,693,483,031,967,375,805,177,006,748,437,620,090,531,
994,549,152,453,297,377,001,374,598,547,234,160,075,321,529,761,772,423,129,
395,278,374,670,629,098,259,179,228,420,785,284,095,043,479,581,226,450,057,
435,842,195,118,652,219,970,090,151,213,951,612,371,114,927,442,730,851,029,
192,848,407,389,756,508,194,418,909,259,487,174,207,819,119,441,179,741,942,
746,285,612,503,947,341,112,951,771,640,970,203,506,737,484,939,594,401,864,
867,484,251,756,052,554,026,005,757,555,835,016,881,508,744,784,355,509,929,
116,347,275,726,156,550,993,729,419,782,331,380,887,784,115,565,106,731,751,
717,037,151,966,140,528,837,412,115,637,179,001,166,796,526,378,307,718,363,
451,266,110,683,603,985,407,359,100,614,219,672,321,858,823,575,213,391,463,
212,332,826,828,151,796,963,579,815,892,397,457,615,667,261,728,603,139,770,
332,263,901,643,227,145,327,748,628,299,356,006,939,304,905,064,614,191,083,
411,691,560,390,356,135,580,601,211,842,330,983,640,161,738,059,161,856,943,
794,050,165,378,836,899,196,523,696,432,910,094,331,593,055,334,214,665,267,
193,221,700,861,820,751,835,694,613,169,495,010,262,204,711,135,489,150,173,
090,938,972,514,708,089,657,109,976,899,147,295,537,814,943,009,908,621,780,
005,673,390,003,006,460,083,547,704,552,532,589,668,958,757,126,712,447,516,
529,897,368,933,789,212,707,420,281,760,069,959,411,556,341,845,459,408,491,
825,966,234,104,360,019,123,613,588,450,893,988,545,421,300,139,559,751,795,
707,220,825,838,270,707,903,404,391,123,004,489,975,189,987,175,691,915,699,
159,133,167,681,221,027,859,927,655,412,859,149,907,171,421,038,484,358,602,
902,225,833,520,012,417,160,789,847,647,843,888,354,656,371,558,098,689,085,
578,127,341,387,223,356,022,335,582,504,339,267,940,267,793,995,460,675,106,
574,545,601,313,974,504,220,658,443,045,851,947,058,631,613,346,739,163,878,
281,192,923,522,656,522,070,260,571,326,200,302,997,716,639,824,251,400,897,
557,601,406,775,800,066,792,121,944,907,128,528,504,346,709,240,998,670,403,
730,859,928,597,318,295,235,230,592,338,240,217,734,510,157,066,335,707,700,
330,376,650,082,394,245,314,108,880,805,054,607,111,985,228,924,999,674,916,
857,892,050,954,943,569,086,670,482,839,788,189,574,434,083,381,346,676,724,
790,141,784,596,395,498,921,122,669,593,080,422,832,525,052,481,908,001,324,
865,102,228,768,790,271,170,652,989,782,406,262,317,581,355,552,318,966,121,
310,796,010,944,043,646,221,583,118,424,621,409,241,073,374,880,168,615,493,
196,610,536,216,377,098,772,868,476,988,454,283,749,813,062,307,066,775,210,
204,599,516,800,087,638,747,501,576,627,634,867,232,828,109,579,416,582,259,
222,710,415,817,091,875,201,054,077,748,352,535,759,966,566,158,747,939,162,
821,742,920,374,534,091,825,644,035,428,322,078,976,038,669,981,489,079,188,
963,931,573,800,941,261,974,313,796,523,202,678,494,634,967,482,983,726,336,
447,770,764,429,467,805,158,407,530,173,493,458,796,764,832,696,776,856,207,
389,033,319,044,083,512,024,552,911,656,293,813,601,270,823,332,357,902,530,
750,678,196,010,324,754,817,416,000,785,147,766,331,648,901,074,694,296,437,
334,672,435,658,211,597,193,423,785,646,650,450,320,918,561,762,893,983,859,
833,923,022,758,002,629,669,593,368,280,314,204,576,893,830,120,466,979,663,
962,481,606,843,693,558,398,222,130,217,523,658,299,418,634,277,301,107,106,
143,511,214,877,995,291,215,721,467,101,609,344,790,650,010,365,191,992,473,
237,357,200,552,261,989,290,442,572,430,705,564,005,526,511,619,530,391,408,
541,713,289,222,766,396,179,973,846,677,491,499,180,960,550,716,641,048,890,
990,412,854,927,491,520,570,513,289,819,929,328,293,707,913,194,814,122,896,
787,781,900,272,478,944,467,700,414,885,590,906,169,070,860,059,050,016,759,
911,511,354,763,443,260,986,406,318,495,400,665,307,542,604,254,789,983,056,
852,202,476,339,277,068,974,998,662,227,112,875,368,175,516,282,193,318,460,
145,002,244,789,029,928,498,651,504,931,910,958,811,140,086,230,883,109,706,
109,149,699,741,280,288,065,110,895,529,411,466,073,059,372,715,093,555,452,
423,280,799,307,137,024,662,772,701,012,218,820,302,911,924,149,836,198,009,
203,660,425,500,828,353,902,383,622,219,014,582,968,039,420,898,547,035,468,
431,732,840,948,972,982,424,615,571,565,473,830,325,985,346,039,103,800,720,
320,731,428,630,391,276,590,935,417,631,721,640,434,367,633,819,018,106,721,
044,547,379,936,692,354,799,758,783,707,183,667,556,317,406,615,606,757,768,
899,375,921,934,536,252,945,431,707,218,948,526,904,943,136,452,048,244,775,
027,800,826,988,016,764,010,423,676,626,046,179,787,602,259,255,418,864,298,
563,896,163,009,526,730,168,798,920,404,531,452,846,027,630,614,920,356,112,
067,984,586,101,085,884,884,876,435,744,867,558,046,067,233,418,790,396,959,
552,900,799,951,236,586,994,142,876,786,040,420,704,372,964,730,544,344,423,
388,722,228,479,788,677,736,767,864,716,042,828,452,810,017,223,143,696,615,
733,390,573,727,826,762,258,079,363,279,223,289,184,869,241,042,902,982,340,
561,654,455,932,521,533,953,957,201,182,854,876,107,059,381,895,500,746,907,
261,977,829,794,253,866,508,822,037,337,816,020,184,868,640,724,884,592,532,
269,718,431,343,689,913,263,669,022,980,087,929,082,173,772,370,500,961,144,
769,582,959,707,591,576,619,925,893,498,224,464,203,639,716,236,044,627,569,
759,646,943,614,724,772,465,916,372,371,227,730,028,827,000,895,550,173,675,
342,224,816,171,901,584,220,747,235,297,949,343,323,700,404,017,038,240,099,
061,890,740,591,221,274,594,558,556,710,532,354,820,453,752,887,838,134,847,
807,088,793,729,395,551,411,342,624,625,883,534,087,836,231,270,230,314,292,
839,728,304,231,067,786,112,312,777,240,021,163,436,839,992,235,542,925,375,
134,767,531,686,936,510,628,671,393,272,880,232,307,948,084,720,604,550,834,
262,012,436,766,703,964,757,886,383,506,584,407,213,172,192,789,018,062,619,
561,832,289,887,856,936,800,504,383,754,671,975,821,539,769,986,415,606,807,
317,093,019,483,661,903,191,205,887,582,563,413,019,919,751,978,296,860,828,
916,236,783,311,868,553,139,952,060,473,218,115,319,702,863,058,128,895,785,
534,055,604,893,699,035,360,346,944,239,713,537,408,542,399,588,559,532,082,
866,888,240,354,114,577,217,153,377,092,294,078,058,870,619,560,985,028,138,
246,537,407,204,054,120,554,039,185,457,113,164,082,701,227,953,308,092,129,
127,419,034,925,737,083,819,636,643,025,439,711,946,075,764,966,748,499,390,
620,110,359,598,553,182,220,116,093,261,160,403,860,321,538,020,264,976,127,
394,731,233,394,481,091,709,348,765,853,259,215,619,492,519,679,613,556,616,
053,890,451,849,066,996,369,770,120,420,086,024,436,915,513,472,601,563,106,
856,727,917,614,085,178,795,770,361,363,035,262,076,355,420,487,977,538,257,
356,704,701,501,086,324,962,011,099,847,600,053,702,349,933,365,249,575,065,
041,745,363,565,521,020,772,663,772,261,526,052,685,192,135,909,057,642,604,
497,054,040,192,644,979,990,316,764,531,383,135,312,720,831,967,051,859,399,
126,944,860,264,262,027,893,959,138,702,531,324,581,520,409,282,819,706,153,
048,006,567,669,223,801,805,635,982,517,555,068,394,634,159,158,941,808,415,
629,846,899,051,876,309,828,631,241,926,978,410,082,832,326,568,174,651,653,
897,655,190,885,185,858,698,737,151,812,643,972,637,487,175,984,989,841,310,
895,435,703,908,502,832,357,273,073,873,130,661,691,614,003,855,071,588,873,
023,569,333,045,671,825,456,029,886,366,822,535,973,972,163,028,903,389,081,
076,407,349,234,748,893,704,371,422,789,032,609,239,464,144,759,771,534,186,
394,407,048,792,243,425,331,404,553,746,384,451,880,592,269,786,343,981,355,
876,827,856,935,002,367,880,510,741,742,092,204,286,012,440,874,098,563,745,
533,721,581,723,727,429,328,908,229,433,766,177,251,337,395,293,392,605,795,
069,776,903,403,212,094,569,559,477,801,548,495,119,751,890,691,094,703,496,
481,771,733,678,247,592,395,441,034,126,831,233,327,688,687,644,572,820,030,
125,027,329,687,613,660,646,683,965,550,581,745,265,249,488,537,814,331,450,
620,088,973,459,569,423,676,385,595,145,298,548,270,304,390,906,746,021,554,
987,749,309,075,959,148,865,803,503,055,773,462,100,790,048,838,349,492,335,
730,102,972,615,215,802,973,628,940,553,393,461,800,798,866,100,345,185,642,
458,794,233,518,322,114,866,805,803,522,141,081,867,871,079,624,029,706,333,
188,943,530,417,230,408,308,748,682,386,181,384,292,244,496,461,857,119,796,
965,543,722,174,754,164,280,774,342,994,254,429,290,862,729,629,494,289,278,
699,610,602,607,132,164,626,421,479,882,716,443,094,624,507,389,200,174,060,
282,420,484,522,294,748,711,098,595,749,788,189,281,273,027,688,697,196,344,
679,415,949,655,934,138,168,032,545,463,764,266,637,330,739,318,945,408,498,
429,403,927,511,839,691,675,153,851,498,650,771,223,679,608,058,095,036,810,
893,656,763,540,328,052,189,901,428,421,603,074,642,440,939,785,176,891,111,
084,167,620,399,032,975,663,934,250,388,658,163,870,554,188,604,730,428,964,
087,651,979,760,545,033,724,194,502,547,894,599,959,437,560,977,018,626,930,
112,836,555,566,240,714,392,383,971,438,658,015,852,523,696,903,880,250,475,
132,424,804,433,102,926,507,909,712,637,692,705,537,082,987,158,379,323,119,
895,809,579,063,387,344,234,663,134,544,806,565,580,267,931,440,014,559,731,
131,958,800,113,521,167,622,505,195,126,421,801,999,254,049,157,028,830,865,
141,244,969,670,293,146,040,391,958,830,422,288,803,053,053,163,001,410,581,
945,265,953,510,638,391,873,121,506,989,879,767,151,028,589,200,197,499,220,
973,498,493,751,993,963,070,886,599,168,961,480,983,002,068,970,702,663,033,
097,119,987,235,885,880,453,531,847,033,623,704,238,101,252,468,286,255,151,
941,379,607,087,976,859,334,021,218,390,259,252,437,034,915,552,415,396,448,
819,072,283,211,447,675,516,066,606,336,888,640,295,593,617,800,250,769,755,
233,098,573,938,783,468,545,178,703,011,296,219,113,715,680,518,638,425,612,
016,621,349,284,260,518,091,194,452,940,190,198,422,686,725,147,699,129,914,
892,306,446,232,996,781,758,738,264,024,630,409,022,399,264,684,941,604,663,
829,901,152,488,001,678,694,497,580,966,394,439,789,400,105,313,530,803,923,
284,215,626,072,177,938,299,605,048,535,653,862,978,129,445,378,576,968,939,
620,638,788,652,610,091,777,367,930,795,055,057,649,280,460,441,325,954,926,
568,284,279,927,918,880,515,811,282,306,189,249,088,190,400,867,832,323,921,
784,872,107,094,535,972,901,142,156,703,175,137,746,446,473,721,193,798,744,
129,936,816,615,948,260,895,200,498,615,020,429,467,719,829,227,220,348,253,
014,458,960,014,926,389,308,367,953,797,991,521,164,386,849,469,117,281,513,
621,437,673,200,742,858,005,430,289,690,843,159,486,763,315,680,709,114,554,
138,617,393,045,414,634,695,333,046,060,126,607,367,836,028,255,585,142,478,
167,651,882,115,436,327,136,234,810,043,172,111,688,970,084,583,571,296,531,
218,703,696,900,150,899,099,945,463,462,839,348,629,212,860,514,041,090,568,
837,804,004,045,151,722,977,143,554,230,524,065,161,466,198,731,660,650,575,
427,178,020,286,853,049,547,846,734,648,012,558,727,649,099,882,167,376,443,
538,794,553,723,888,629,691,659,325,245,047,560,115,273,828,577,932,238,331,
505,744,510,726,825,898,308,629,945,186,430,195,812,687,265,517,524,163,238,
740,595,651,500,944,248,541,584,891,789,955,085,231,405,670,960,396,104,095,
644,648,056,503,625,115,137,094,475,436,641,980,541,001,710,122,717,296,724,
340,253,536,023,268,140,385,016,693,001,261,058,528,698,507,547,352,759,215,
046,194,985,954,385,588,342,550,045,026,646,716,309,658,863,659,041,702,313,
466,927,890,615,284,636,003,171,432,220,072,228,612,075,965,672,497,984,228,
641,528,940,968,154,553,544,820,389,259,022,253,604,970,647,525,780,595,575,
189,656,722,264,121,562,293,291,227,786,850,868,050,232,245,159,297,987,521,
453,958,794,974,775,723,460,503,008,507,792,572,082,517,425,760,716,536,266,
653,129,353,865,567,910,686,293,350,999,817,663,046,676,128,254,576,824,958,
052,042,175,534,974,689,698,787,102,786,541,652,934,679,534,311,890,234,179,
357,724,113,116,905,126,075,933,838,600,586,594,454,167,917,099,890,234,598,
429,558,402,236,180,631,154,048,256,230,549,801,432,135,244,274,557,714,272,
970,888,727,853,316,856,970,090,740,006,203,018,840,416,630,126,302,703,787,
834,725,381,760,650,786,117,288,287,045,040,415,933,849,714,660,385,363,530,
285,599,111,634,563,557,045,446,152,185,895,596,421,616,420,210,169,965,790,
776,308,894,291,836,539,554,843,467,452,355,327,615,410,123,563,070,366,833,
264,951,705,236,055,997,899,585,336,499,230,482,865,494,451,732,682,633,917,
464,659,828,319,833,081,107,373,590,920,336,630,352,997,597,339,670,776,191,
939,278,331,515,103,435,493,818,614,605,084,415,247,999,688,305,058,988,116,
135,243,889,819,058,157,385,648,175,423,592,361,524,841,421,887,482,260,713,
921,260,741,356,422,898,917,917,579,177,185,310,935,877,034,695,661,571,014,
897,342,742,327,659,830,680,380,653,284,259,773,244,218,122,525,962,737,022,
105,786,735,745,389,702,355,125,445,466,734,276,434,570,414,331,943,404,637,
319,141,356,444,887,492,383,938,564,694,160,104,905,324,535,595,863,848,243,
642,630,131,430,852,480,901,564,159,713,890,114,142,774,519,803,700,135,526,
701,810,668,215,887,014,766,812,417,836,509,552,590,856,785,214,790,562,178,
028,659,781,160,982,191,065,938,898,699,760,737,382,747,544,387,133,711,151,
719,668,652,192,734,737,634,127,829,496,920,450,670,219,493,113,667,292,208,
308,053,788,290,834,932,528,762,279,962,339,655,822,530,391,182,051,098,046,
390,803,794,775,788,268,980,233,123,067,373,050,987,970,987,371,100,074,501,
976,352,087,111,503,532,826,116,302,507,495,646,492,597,424,437,469,438,782,
453,136,888,345,043,733,188,128,003,696,711,987,293,343,895,134,325,076,990,
850,307,379,417,313,540,645,071,980,646,074,499,586,207,691,657,253,562,162,
793,663,489,552,488,433,258,233,370,299,586,191,572,716,610,534,030,230,765,
419,583,047,847,489,531,691,282,806,744,823,749,732,964,336,773,216,579,167,
965,691,510,546,350,349,741,128,972,863,611,801,330,197,904,189,758,602,655,
326,616,343,743,250,088,859,507,133,148,514,564,742,726,508,983,334,830,459,
547,254,732,619,402,603,632,651,730,156,387,618,273,222,894,424,081,039,092,
636,441,269,725,332,303,827,969,875,784,487,915,132,109,103,244,533,105,918,
898,834,187,011,788,734,439,538,386,988,361,767,973,582,971,153,541,884,170,
340,828,267,573,237,764,601,920,699,665,515,642,583,655,152,604,893,823,391,
864,772,292,226,490,935,259,158,944,923,787,782,431,982,381,410,443,940,003,
641,490,754,330,784,638,853,628,295,554,777,280,805,101,979,850,184,440,699,
144,881,090,702,479,931,902,420,115,334,268,727,107,144,257,392,113,219,734,
373,968,210,556,354,960,270,243,452,063,347,749,094,995,422,040,031,179,121,
553,931,664,425,790,975,811,543,738,180,206,758,320,014,199,586,887,345,042,
412,413,804,878,410,712,257,932,786,314,111,216,892,050,112,118,006,435,704,
765,811,182,627,512,522,829,409,338,002,869,570,331,944,634,679,860,049,010,
468,565,254,540,149,678,631,172,624,470,909,337,200,817,970,215,180,339,611,
175,410,635,482,905,355,404,383,364,435,004,310,180,534,402,048,941,339,026,
672,673,613,717,667,860,691,224,684,689,820,766,251,569,888,809,807,055,438,
661,492,233,207,818,056,705,336,754,642,780,099,496,404,187,384,144,831,584,
811,266,715,820,355,786,811,804,416,047,384,148,462,426,272,951,756,051,347,
487,718,019,339,851,911,450,663,970,805,899,678,173,391,947,628,539,207,489,
195,048,681,780,075,371,864,443,892,554,593,319,789,179,083,800,475,320,908,
291,687,172,107,378,632,509,297,021,624,563,560,490,547,192,023,304,450,382,
582,049,457,780,511,947,075,292,405,933,358,653,495,742,370,622,621,242,607,
415,608,592,260,694,977,690,449,766,485,995,302,697,363,740,281,936,111,170,
236,853,107,714,683,358,409,545,262,743,901,207,661,241,299,961,566,545,422,
268,037,950,025,688,755,870,022,358,269,701,155,385,401,250,105,927,189,391,
515,234,863,544,649,241,500,307,927,330,170,212,906,188,439,558,805,739,524,
866,002,341,335,168,698,613,699,318,998,002,957,429,568,060,738,493,651,161,
396,275,865,740,784,212,538,105,166,359,753,433,255,829,558,722,471,629,370,
699,890,632,655,083,172,034,905,010,319,963,944,990,470,637,943,178,615,475,
195,838,108,368,690,517,847,929,097,113,314,378,502,129,341,947,349,867,223,
202,591,946,070,683,541,327,505,548,707,022,279,393,189,989,659,034,908,420,
180,430,347,469,397,811,565,484,179,078,080,066,975,365,954,186,810,465,574,
645,278,920,856,122,859,310,394,797,082,440,786,252,719,681,981,386,539,822,
450,730,109,689,120,071,457,884,456,030,946,392,907,712,581,573,742,256,959,
330,472,478,680,418,281,083,750,494,758,583,168,199,530,653,654,889,150,382,
328,533,686,088,378,591,435,301,769,822,225,390,187,766,930,705,825,338,994,
343,898,064,135,373,393,867,763,136,422,322,342,728,353,120,685,308,226,236,
525,549,506,846,355,768,831,503,998,958,065,029,161,622,537,454,768,094,908,
618,242,846,827,478,456,274,238,319,560,108,288,611,898,367,502,644,028,278,
315,230,407,355,991,048,464,348,431,605,655,403,619,340,265,320,140,061,355,
826,660,692,728,338,031,770,588,074,136,161,564,926,076,345,862,208,509,062,
259,001,490,431,941,487,872,997,425,695,417,886,811,758,752,837,874,397,831,
454,524,802,633,736,678,403,730,922,621,728,634,130,339,746,439,041,561,388,
725,835,000,148,281,106,687,840,460,026,528,313,470,092,042,416,168,855,943,
042,824,260,828,940,961,037,936,901,042,323,645,604,325,540,458,693,069,859,
194,012,808,489,850,733,800,870,583,093,748,338,518,101,073,152,396,330,886,
649,133,531,812,112,765,347,493,769,541,555,088,126,401,384,406,888,617,388,
733,996,983,433,377,673,664,664,304,130,918,509,948,742,841,681,126,707,028,
011,416,294,563,288,209,150,811,868,682,214,307,543,625,738,642,956,649,190,
028,518,701,059,339,442,046,439,356,394,314,488,567,640,782,142,769,806,662,
819,950,250,827,741,874,792,260,744,368,098,933,618,664,266,006,749,872,588,
315,773,072,004,741,957,380,801,346,316,313,132,391,018,189,588,086,367,363,
720,356,431,382,159,660,348,000,191,094,859,750,141,862,128,551,007,161,398,
938,789,140,240,450,989,523,973,451,744,956,358,913,700,578,782,708,615,668,
266,719,276,470,861,088,166,447,637,055,833,447,192,699,106,190,487,797,736,
545,197,768,153,021,735,340,152,576,277,946,147,434,171,724,706,336,167,131,
805,009,197,611,492,482,085,318,558,361,846,939,019,675,289,746,103,542,256,
596,899,461,272,257,253,551,779,171,974,478,274,116,544,028,858,934,453,671,
946,391,954,058,773,807,717,861,460,135,668,062,805,789,409,628,075,313,866,
506,109,369,515,929,889,425,204,202,786,869,122,112,303,002,537,721,541,586,
657,556,925,959,219,785,023,768,853,770,507,954,587,570,459,371,912,866,623,
161,350,482,887,218,416,782,658,982,419,225,035,954,900,076,517,827,614,854,
543,212,179,745,007,528,745,422,985,152,787,405,451,299,267,621,249,776,158,
112,283,946,707,192,415,351,139,647,836,680,818,944,108,844,597,850,053,914,
290,971,007,475,295,705,768,878,325,701,973,004,193,816,830,213,184,625,635,
447,747,367,282,831,981,873,117,890,597,771,960,417,479,187,917,011,360,834,
508,578,660,627,984,071,643,169,072,225,666,869,264,744,823,083,400,322,797,
370,868,236,721,878,220,194,360,428,762,562,158,895,386,816,583,512,590,241,
301,386,527,519,081,628,234,292,644,249,316,404,686,500,793,523,976,426,905,
682,311,759,112,566,151,859,734,015,199,407,218,862,426,498,821,235,658,997,
378,476,719,276,334,944,237,146,503,835,982,748,741,129,695,565,619,554,177,
163,678,378,221,924,972,896,278,667,000,261,457,371,321,887,910,673,910,087,
294,711,552,313,192,489,430,535,267,727,037,968,645,562,650,745,455,183,570,
319,075,093,810,435,193,170,952,999,213,312,411,999,187,007,631,581,226,711,
526,777,868,907,603,428,536,484,988,991,539,950,333,263,843,744,630,711,142,
874,953,665,395,978,683,195,880,301,514,399,274,934,914,656,487,531,478,805,
094,608,849,204,236,357,902,310,461,016,203,407,024,725,285,269,742,124,406,
425,691,550,457,209,338,024,481,217,274,395,300,177,849,784,768,000,524,343,
156,744,465,292,016,948,251,080,048,028,279,106,974,469,932,591,067,428,125,
806,580,130,321,147,768,909,640,030,016,978,029,661,853,101,243,762,777,167,
341,446,065,635,570,096,888,049,653,903,949,911,045,952,514,260,309,180,388,
134,384,905,661,558,573,865,553,197,744,351,481,079,035,607,925,211,200,498,
034,266,482,768,787,122,372,079,822,045,803,067,227,084,698,241,386,862,566,
257,782,360,035,593,544,682,566,793,273,954,865,948,982,289,060,444,096,172,
469,081,934,583,764,171,784,302,993,850,231,907,701,217,216,915,045,491,352,
007,319,685,773,654,261,491,551,393,208,817,582,241,360,756,936,729,850,687,
772,759,692,498,914,674,061,685,260,746,776,944,273,329,074,759,943,496,875,
918,136,135,579,911,093,726,806,889,934,317,920,010,793,771,327,528,208,956,
935,956,947,209,473,619,203,958,313,194,220,587,875,649,480,561,363,990,475,
973,193,151,220,513,273,440,135,845,311,555,693,340,016,494,806,019,821,246,
237,124,425,544,681,822,020,295,659,688,694,294,038,399,680,403,574,351,222,
357,769,502,108,846,993,238,867,675,610,948,020,182,540,859,495,677,919,584,
521,627,377,660,904,009,241,070,067,538,212,617,420,611,223,961,963,223,103,
903,481,075,565,099,583,828,806,757,559,719,898,244,672,350,370,214,014,105,
555,170,771,092,982,091,927,162,271,870,042,885,841,573,625,700,222,177,050,
978,806,516,069,723,665,522,914,777,933,799,386,127,840,639,578,035,002,507,
808,167,707,167,673,326,300,140,691,257,845,551,291,770,132,699,412,152,597,
878,150,337,576,651,002,032,574,274,592,429,602,522,494,569,223,842,630,905,
827,509,876,791,009,611,344,467,932,179,842,521,204,050,991,878,498,439,626,
768,920,600,202,226,968,502,457,015,675,767,363,206,083,475,552,446,291,879,
106,811,041,959,273,310,126,362,022,297,106,870,774,781,654,545,853,405,149,
737,165,098,637,250,090,517,107,340,304,306,806,146,335,625,927,965,435,037,
719,470,274,594,518,935,816,164,884,852,472,629,636,371,934,534,251,021,169,
962,132,498,540,925,046,494,453,383,044,207,592,148,428,286,661,096,368,139,
594,633,662,624,844,990,195,068,935,739,762,142,231,132,966,667,057,654,345,
698,666,544,756,977,236,514,062,778,299,305,327,359,821,348,608,093,674,616,
155,704,205,063,144,973,491,653,494,292,286,008,020,978,825,472,734,719,736,
402,182,687,616,757,135,953,742,973,979,162,158,142,630,429,210,337,840,069,
491,481,987,080,956,178,183,099,096,759,955,527,306,533,573,663,749,886,296,
070,830,640,939,558,761,110,460,485,920,736,670,533,182,913,050,514,846,596,
060,051,629,130,979,678,931,127,059,886,245,090,600,928,809,296,319,786,383,
025,316,389,018,240,673,440,555,136,080,674,978,064,876,612,596,700,118,267,
516,010,983,845,305,709,885,795,469,372,687,335,937,881,936,980,993,170,712,
945,694,373,399,548,470,809,834,136,899,232,090,286,240,429,253,315,682,057,
497,872,961,999,072,398,829,477,251,795,555,380,071,668,345,480,497,175,782,
685,480,574,656,393,607,761,863,234,800,579,465,727,059,846,286,834,619,219,
380,909,068,183,095,923,562,766,358,311,026,628,761,424,185,483,643,196,686,
728,178,097,374,664,585,178,075,297,898,657,403,063,615,033,190,264,316,604,
834,555,829,029,742,826,022,703,975,143,620,206,682,207,287,560,477,144,526,
542,938,676,985,505,215,846,416,125,784,083,922,671,399,239,200,792,290,799,
649,917,456,126,437,452,003,522,835,694,362,323,977,235,129,710,645,384,713,
125,526,486,788,557,623,025,374,846,273,115,728,154,894,479,916,378,287,193,
257,696,885,174,831,782,291,177,308,656,145,854,048,306,834,318,774,219,242,
149,243,108,707,499,553,823,577,613,205,951,971,356,772,065,232,243,348,278,
960,743,183,033,269,404,026,227,506,647,427,028,298,883,288,331,748,409,902,
433,785,982,781,287,393,914,806,663,543,391,135,533,220,852,061,318,449,304,
623,135,540,119,677,506,552,081,537,906,025,205,261,484,929,513,681,442,570,
310,473,303,115,461,185,944,173,841,735,699,953,817,898,877,422,213,839,050,
614,216,927,227,947,324,324,356,755,412,427,430,378,887,690,780,456,411,192,
990,161,165,278,216,738,220,209,292,719,174,226,671,643,889,639,206,248,968,
629,286,056,933,392,109,878,923,639,989,530,536,663,722,994,692,336,252,483,
950,773,671,848,075,010,216,713,718,890,288,143,603,084,972,059,637,815,983,
066,412,399,677,833,022,209,561,499,202,632,410,467,058,122,160,173,048,637,
466,279,580,210,112,454,454,023,570,101,104,573,432,476,094,616,778,737,620,
192,213,601,282,898,241,271,537,457,238,574,122,842,088,599,763,393,256,959,
407,775,770,725,691,164,162,531,640,740,413,591,752,973,896,939,903,478,057,
054,504,613,355,672,046,161,627,914,016,402,732,286,782,055,276,518,967,182,
213,862,351,023,920,902,338,127,272,753,867,491,304,159,285,277,366,533,486,
722,242,842,814,143,163,815,554,812,700,074,004,850,073,002,529,126,406,368,
692,177,963,007,572,928,794,833,258,644,398,555,580,026,509,040,293,133,273,
986,343,365,025,351,352,926,241,375,373,212,943,547,827,990,911,919,939,348,
473,312,342,511,697,595,179,337,421,114,826,199,376,145,950,465,334,366,990,
658,311,723,370,171,273,061,550,340,015,012,987,535,081,906,521,736,904,654,
692,939,216,627,763,352,276,395,084,461,546,010,253,245,077,692,498,801,514,
664,347,072,015,279,842,782,503,235,076,365,560,222,632,842,058,813,342,005,
239,210,314,364,033,804,731,687,070,691,083,090,384,521,879,272,244,582,000,
455,113,698,152,284,228,768,514,002,421,049,247,356,123,292,143,618,114,085,
507,157,356,134,949,325,810,037,903,323,374,661,182,838,943,334,797,064,675,
051,481,855,422,908,905,605,632,815,794,738,694,982,910,740,207,976,553,853,
143,233,185,681,114,851,984,220,354,014,229,964,075,419,337,468,950,080,732,
996,089,628,347,147,564,205,432,681,128,064,219,072,779,808,009,767,222,034,
374,549,400,137,983,991,585,911,062,058,662,881,004,226,522,491,361,427,770,
343,253,408,775,099,670,950,445,497,266,418,651,192,711,570,354,802,469,563,
031,739,550,747,949,560,627,760,912,965,710,444,546,736,754,722,445,077,322,
105,583,653,811,648,170,348,965,808,840,902,940,430,182,697,101,966,087,359,
003,247,919,209,970,569,279,754,151,353,759,576,074,258,016,391,315,308,517,
967,588,000,185,202,503,312,679,406,264,831,871,231,128,840,185,516,066,355,
466,727,301,562,660,367,302,307,103,895,057,644,902,182,418,671,236,117,549,
436,664,150,497,462,127,201,137,503,523,487,593,379,578,701,762,160,306,992,
363,065,819,052,201,129,995,473,551,480,140,022,587,807,582,637,682,338,254,
547,395,149,004,642,185,698,251,796,818,395,034,919,315,614,715,786,098,834,
387,659,235,577,417,629,405,795,961,912,366,615,609,047,070,085,841,727,497,
025,990,473,169,708,727,441,155,827,029,400,946,991,513,005,234,008,079,738,
803,343,693,441,434,781,692,748,618,878,453,729,426,765,827,237,946,739,678,
312,959,460,394,077,517,954,568,277,980,675,762,428,320,828,723,296,600,898,
709,861,298,610,002,827,895,562,779,733,649,141,489,122,207,852,640,226,521,
034,781,961,898,335,200,465,559,960,800,732,809,379,569,157,733,801,038,147,
794,659,258,038,054,824,985,580,572,230,765,078,313,599,367,167,794,674,978,
138,389,766,783,229,391,520,755,786,240,616,825,749,102,045,748,188,697,844,
574,867,997,479,742,268,975,175,352,112,106,374,484,384,336,273,051,321,440,
470,007,078,887,372,260,618,809,451,156,164,299,693,076,036,722,278,616,642,
240,752,757,541,375,315,215,079,370,260,548,921,819,020,656,039,363,489,535,
152,656,351,523,443,070,825,449,529,872,544,845,237,110,477,751,054,124,497,
376,950,045,326,129,822,760,341,114,851,402,969,366,124,292,332,577,191,557,
757,452,465,605,746,207,428,990,863,702,253,715,620,793,492,330,993,288,800,
150,835,564,813,589,909,066,705,528,419,388,203,142,873,171,176,255,255,354,
098,262,484,932,199,890,938,428,550,430,666,800,351,527,773,394,248,921,451,
222,554,087,233,284,141,313,892,089,577,854,967,993,374,741,606,336,386,648,
487,895,309,427,485,967,521,271,554,542,124,793,199,741,284,802,960,415,882,
777,802,059,567,435,491,973,827,451,611,201,933,228,461,745,374,857,216,958,
511,320,412,475,849,908,123,771,070,738,606,186,567,494,170,327,732,826,821,
013,456,500,170,855,322,160,716,559,721,312,219,051,252,065,221,358,510,130,
936,831,286,938,255,688,189,564,605,799,161,664,579,790,189,107,269,680,648,
287,042,504,718,850,678,580,886,886,873,512,254,227,234,488,565,264,051,108,
844,627,830,042,334,939,101,407,014,753,395,258,155,163,775,462,019,219,876,
064,960,873,437,168,752,982,557,503,813,053,618,549,461,767,642,383,827,537,
245,451,810,730,401,010,358,291,200,199,103,128,265,733,134,553,351,814,581,
002,293,068,815,876,377,488,429,426,461,566,701,728,180,514,242,687,984,534,
546,337,122,844,513,640,430,368,555,729,463,767,734,065,252,337,528,534,055,
138,749,150,550,278,387,260,110,118,625,505,384,627,345,373,220,423,875,878,
606,953,716,976,219,375,439,128,316,887,397,890,381,674,558,315,496,965,491,
970,946,842,800,405,752,976,042,255,462,449,257,547,367,346,942,981,221,779,
062,871,233,496,593,058,826,919,382,248,060,469,743,915,198,276,055,403,327,
753,741,233,717,105,531,773,540,343,227,860,873,424,997,395,479,909,724,763,
423,745,512,332,730,975,872,944,260,107,074,289,012,164,553,654,843,035,249,
330,726,770,317,929,165,829,582,330,965,116,768,237,094,467,340,047,759,657,
267,719,878,652,557,146,699,987,004,193,284,939,675,515,996,491,497,881,576,
713,614,283,407,511,617,958,911,449,742,549,303,992,774,784,402,277,036,111,
728,172,904,929,953,233,777,267,895,894,464,328,924,230,843,504,309,916,467,
417,281,822,407,362,902,991,523,158,220,568,910,357,478,065,444,347,150,203,
836,139,728,686,743,048,447,611,215,735,258,231,723,552,514,921,567,267,618,
443,159,360,115,867,024,525,728,151,209,670,328,073,928,792,193,282,396,846,
668,761,436,853,867,615,934,299,925,301,609,208,570,358,891,075,608,039,908,
652,897,897,456,545,378,043,883,664,133,694,017,675,977,143,505,409,058,177,
123,150,262,203,104,707,969,551,550,725,676,724,495,483,534,304,238,795,547,
184,744,916,067,174,060,949,681,534,490,073,882,166,131,137,682,698,094,352,
923,669,539,979,077,565,711,853,920,547,163,790,497,538,562,074,241,700,569,
424,439,224,475,460,430,233,439,293,698,572,570,790,547,010,201,848,899,445,
621,359,791,420,278,397,992,186,295,150,606,658,128,254,773,557,549,811,902,
353,522,252,131,718,855,519,117,116,905,509,837,441,741,209,697,951,172,632,
012,083,273,606,777,852,653,670,500,166,767,076,814,908,567,296,170,343,297,
258,540,745,639,994,462,234,580,035,784,523,573,044,272,865,115,539,743,751,
019,429,153,450,273,532,141,070,052,300,497,176,182,607,442,547,988,221,292,
321,117,122,042,031,830,147,492,604,255,649,645,878,608,929,434,815,047,387,
795,012,928,746,344,374,332,987,910,019,397,693,575,274,164,379,629,732,113,
923,710,277,805,310,261,549,279,753,493,287,837,606,391,568,311,265,571,392,
199,921,822,114,739,258,060,033,107,530,781,195,451,330,005,400,900,570,354,
425,728,546,704,678,820,314,296,992,196,713,799,919,585,242,300,442,250,200,
933,710,812,506,703,681,087,621,146,275,702,461,219,328,195,500,300,124,269,
601,900,954,484,118,625,020,027,445,242,318,495,951,451,317,593,060,124,916,
538,439,571,186,056,102,463,874,951,014,248,173,724,018,774,458,289,961,987,
219,494,837,831,171,140,460,466,831,060,350,468,733,565,531,082,256,902,531,
239,475,301,307,290,170,768,604,143,645,750,957,946,922,590,174,160,999,758,
776,981,009,222,271,575,331,151,948,560,110,277,533,147,719,532,399,072,639,
477,328,947,918,756,879,772,482,247,739,202,900,283,797,516,322,364,383,551,
861,473,887,597,872,864,767,979,789,836,427,722,224,613,833,026,324,253,859,
181,158,763,071,268,863,927,578,859,900,395,443,640,461,902,810,416,920,702,
433,929,987,040,448,197,431,912,139,971,119,685,428,227,929,589,480,679,117,
247,991,890,405,321,910,678,722,036,561,708,339,912,177,663,506,983,198,913,
821,250,587,712,669,367,299,126,251,316,594,260,930,390,935,032,897,124,678,
811,335,492,297,061,350,551,063,694,381,036,235,152,307,859,510,210,630,371,
498,131,257,619,024,625,426,584,789,995,751,163,049,187,495,676,643,681,134,
680,668,017,478,743,098,655,796,770,991,388,295,205,799,030,657,374,380,846,
074,711,551,078,197,199,814,236,085,214,710,793,956,249,334,970,631,239,326,
094,056,257,093,495,634,678,168,091,322,179,205,590,744,024,033,755,015,019,
349,177,539,230,517,430,102,125,430,346,622,882,619,343,759,965,356,790,693,
065,501,941,430,926,070,666,848,594,611,731,316,391,777,326,163,524,301,110,
470,941,426,208,813,127,530,986,591,811,456,321,355,543,304,112,709,958,402,
106,485,082,283,747,948,786,382,715,338,264,036,901,923,167,925,874,303,950,
269,595,018,773,026,470,785,349,174,700,810,309,452,755,759,681,117,311,514,
795,093,969,483,533,983,447,728,170,883,733,057,902,600,900,851,790,897,730,
189,480,815,645,404,858,769,767,904,690,393,408,593,398,439,718,994,573,120,
754,711,087,458,671,505,581,948,758,990,444,104,892,258,167,311,186,231,365,
461,212,290,221,951,831,913,874,374,149,496,856,103,712,225,667,310,552,483,
160,497,095,849,507,647,021,518,396,277,489,230,573,330,540,644,539,662,584,
951,758,751,340,478,005,939,907,259,282,123,260,637,405,306,696,969,755,314,
962,061,643,410,361,057,204,924,638,823,286,880,879,801,710,665,880,203,580,
610,745,392,738,985,312,108,664,369,960,429,004,630,125,177,589,639,581,768,
768,193,886,750,160,726,449,196,515,624,731,442,056,273,503,660,093,196,188,
018,432,864,271,736,099,290,289,685,722,768,508,460,990,361,741,280,986,760,
003,943,946,320,035,018,507,851,130,979,276,388,883,578,041,550,843,028,476,
356,687,491,091,126,637,871,710,261,542,070,054,173,704,694,708,696,164,037,
662,814,590,736,192,884,241,567,289,043,486,531,933,666,292,202,420,973,829,
185,645,924,170,071,666,377,653,049,056,967,649,464,369,397,550,354,945,987,
498,094,208,351,147,775,318,044,533,486,625,820,540,714,013,973,155,654,397,
606,561,557,510,636,780,687,148,035,418,807,570,016,319,895,279,076,413,340,
936,818,012,447,434,928,394,410,612,646,311,690,236,119,623,297,096,631,341,
891,832,655,473,408,821,177,019,401,234,486,495,460,638,604,312,467,544,633,
687,339,850,858,242,758,139,784,690,012,694,148,108,018,521,690,148,748,746,
059,882,112,910,371,258,823,735,040,732,418,457,227,867,007,218,853,187,919,
979,307,312,437,381,387,760,723,299,238,407,393,681,962,906,255,590,746,432,
218,458,986,073,524,696,325,083,510,258,783,040,312,319,165,394,195,706,289,
296,383,403,561,918,511,077,949,582,146,796,565,332,830,408,436,991,733,430,
201,607,973,107,405,307,075,650,960,045,241,747,250,817,782,303,915,993,036,
976,455,403,243,788,714,264,804,873,050,256,976,428,884,554,404,387,038,534,
797,510,620,243,421,238,064,491,127,180,563,754,691,267,840,319,622,505,329,
830,898,522,646,724,896,238,448,918,189,743,186,081,899,423,316,225,320,175,
831,369,692,942,772,986,811,910,412,342,087,406,696,605,505,995,366,274,672,
597,934,010,586,225,941,355,874,569,333,328,043,078,563,651,623,628,220,225,
587,911,653,433,856,103,843,808,117,455,288,358,180,372,735,067,538,151,172,
304,889,479,947,210,241,705,247,179,619,900,905,035,464,734,622,242,079,770,
121,826,689,706,947,375,578,237,605,976,649,050,435,072,144,751,661,574,277,
319,141,411,018,806,679,487,661,187,703,318,597,675,481,410,665,987,973,290,
487,061,491,834,348,350,068,103,196,270,625,187,429,134,757,854,764,531,977,
871,041,508,818,529,924,430,848,768,006,955,967,217,897,774,565,858,119,924,
845,861,013,960,932,748,951,336,785,153,512,394,681,003,131,080,535,911,572,
388,060,512,930,665,498,243,793,224,639,775,227,204,521,367,565,251,328,614,
170,079,279,969,890,239,536,496,200,613,120,916,498,665,957,014,060,346,730,
100,273,575,748,203,563,425,299,142,880,222,353,606,695,246,252,142,422,710,
852,857,438,944,006,416,914,963,188,628,456,415,356,047,465,209,564,891,366,
196,838,670,836,746,365,803,716,854,512,158,735,928,966,086,206,446,355,814,
397,268,286,647,037,001,226,924,583,284,103,707,938,567,816,628,203,243,073,
710,963,256,267,435,065,833,551,313,701,466,182,668,644,146,282,385,235,517,
384,706,880,157,362,746,757,336,778,046,847,432,883,358,764,041,757,697,663,
750,875,129,069,856,721,245,807,050,395,891,051,631,868,625,304,167,297,556,
819,937,752,537,299,420,982,988,913,587,901,113,286,262,285,602,746,358,880,
849,063,341,404,078,811,838,603,865,116,968,080,790,775,468,608,398,802,360,
938,219,618,305,392,201,606,867,024,385,116,887,195,389,345,681,466,865,046,
109,087,715,735,217,160,381,476,694,679,568,601,561,927,365,864,110,164,315,
286,666,199,250,476,892,266,214,423,449,303,069,513,124,080,214,240,010,700,
385,560,511,148,074,000,570,812,479,675,327,596,769,276,982,482,431,175,199,
470,311,399,477,233,235,438,644,916,957,510,257,728,889,119,752,151,144,586,
832,255,472,852,693,861,223,872,530,896,702,909,278,247,087,123,855,665,946,
635,295,182,710,777,100,558,956,277,444,001,625,129,695,044,356,441,544,479,
336,922,608,662,505,264,438,211,148,860,211,895,327,589,560,282,337,754,322,
173,026,390,918,647,517,806,794,763,834,101,797,141,755,342,566,901,864,389,
825,370,975,485,671,948,353,198,348,729,904,133,487,270,242,260,856,670,408,
216,385,163,619,666,138,487,525,653,310,134,340,872,738,608,268,122,124,583,
962,501,171,284,353,061,431,814,854,447,401,200,386,206,699,722,260,663,133,
617,302,606,450,922,972,700,829,627,683,106,120,173,193,019,005,263,771,082,
985,340,279,676,821,140,208,972,426,848,939,238,270,231,093,592,952,095,136,
641,029,891,370,955,100,080,345,628,912,635,051,761,621,826,836,513,160,130,
030,374,491,565,348,920,445,080,945,836,797,717,850,093,889,268,208,261,115,
469,723,942,589,553,509,510,600,848,091,710,865,285,276,645,867,562,794,646,
096,216,290,305,944,046,428,275,305,363,808,131,658,021,116,589,801,881,454,
484,298,669,294,422,688,156,761,940,060,650,537,369,850,138,916,650,496,479,
327,704,180,706,941,713,206,926,128,908,080,043,235,346,727,976,897,758,411,
685,370,084,052,544,173,188,699,844,189,998,271,630,354,441,392,814,370,215,
780,080,659,691,861,815,737,835,181,425,209,521,585,256,627,810,608,466,415,
319,133,917,289,330,959,506,953,701,108,823,296,480,615,344,516,812,805,655,
201,077,178,153,479,456,544,147,292,545,102,605,550,455,468,661,977,751,648,
447,720,470,384,200,724,506,997,025,357,237,584,557,543,646,320,713,212,637,
979,031,688,398,107,502,333,217,600,166,765,810,589,655,601,262,071,908,452,
661,397,515,479,639,270,292,414,902,858,110,177,021,650,730,503,016,438,632,
920,294,334,854,394,507,308,147,585,991,453,180,808,917,697,759,912,556,713,
939,464,612,738,294,903,629,695,411,091,662,089,677,351,421,610,604,763,752,
094,525,930,812,378,764,383,846,245,675,803,142,969,423,280,854,965,873,082,
989,195,934,289,268,880,867,903,685,449,619,174,386,817,794,580,063,261,749,
169,487,550,740,849,094,636,618,217,205,857,559,088,802,283,344,394,996,601,
795,899,744,574,726,175,074,417,985,905,681,161,145,040,590,772,969,443,926,
070,157,344,617,595,995,947,262,339,792,645,565,907,888,448,444,119,624,466,
531,829,009,134,170,850,863,311,457,055,603,699,123,669,387,499,888,863,981,
098,196,707,480,876,374,189,394,268,344,251,719,523,384,312,764,834,524,403,
600,833,018,402,802,834,210,620,485,050,050,756,980,687,808,477,035,060,631,
118,082,714,776,673,789,184,663,280,053,363,858,153,041,916,326,631,040,299,
426,781,359,401,230,027,563,865,400,131,776,732,714,993,757,155,254,537,097,
736,858,740,185,376,278,388,619,613,102,208,815,448,455,006,761,436,196,550,
731,372,462,648,549,684,349,436,647,215,064,282,756,067,241,544,196,656,076,
511,607,949,855,487,099,803,255,605,289,030,111,739,112,437,239,961,076,274,
064,949,435,218,911,098,763,948,475,694,349,128,937,817,097,438,475,892,146,
091,654,399,023,634,172,485,488,799,613,802,037,247,511,213,575,925,513,412,
841,920,684,851,235,114,162,804,201,684,691,753,074,623,510,583,146,003,730,
247,491,289,499,715,588,797,357,443,519,010,188,486,486,850,607,822,681,220,
541,399,702,845,547,344,665,081,279,732,920,890,552,840,286,552,221,442,939,
037,209,519,185,236,955,984,920,996,922,960,031,190,361,693,239,433,627,541,
339,248,059,478,281,788,781,796,655,735,666,273,383,973,813,941,898,205,511,
035,574,580,515,692,883,017,345,483,250,214,687,661,982,262,991,329,864,513,
853,852,934,795,629,027,366,445,441,501,426,201,058,144,576,696,533,751,992,
938,862,752,018,748,210,078,308,851,783,362,273,696,055,633,699,586,639,581,
386,211,239,097,566,107,234,809,722,518,326,079,133,314,717,589,078,495,520,
878,572,421,788,067,296,392,478,488,485,502,399,077,755,413,882,362,677,757,
433,108,263,572,365,722,414,088,118,723,728,918,345,106,107,910,290,063,341,
271,810,047,335,072,996,283,193,349,277,545,029,908,776,654,598,903,114,335,
915,863,749,380,642,470,067,884,501,808,963,667,737,210,988,591,983,391,708,
016,355,461,328,959,164,835,693,427,627,615,898,374,225,699,743,313,285,227,
346,472,381,925,204,919,484,975,977,130,263,542,356,409,331,767,169,574,032,
093,198,545,672,883,193,414,312,449,345,657,734,670,454,315,864,525,623,216,
949,413,454,950,476,021,248,735,266,926,685,519,339,107,666,519,190,125,032,
650,218,034,214,411,616,676,958,645,272,148,426,080,050,910,516,904,737,380,
777,994,508,635,409,480,486,096,814,098,468,047,609,005,494,389,430,150,644,
906,191,272,182,017,466,020,338,775,487,933,719,311,768,029,628,334,115,294,
042,702,911,737,144,194,509,695,349,475,080,465,613,893,508,338,729,569,961,
522,301,958,252,987,487,540,959,662,234,411,016,317,983,332,287,215,082,089,
788,865,515,192,297,680,563,463,398,585,916,630,487,238,575,810,964,243,891,
014,596,391,958,980,025,749,873,119,179,698,360,652,166,444,859,192,985,771,
749,660,675,926,325,469,520,874,993,768,283,690,306,172,446,285,649,781,510,
244,965,641,861,228,295,278,528,830,255,484,494,095,871,869,627,080,693,823,
637,079,938,677,318,842,682,928,869,318,788,598,708,002,675,018,707,510,438,
138,973,125,347,101,529,794,434,141,961,072,152,754,707,755,645,845,331,451,
968,018,490,154,030,595,499,210,134,522,258,779,535,342,927,504,586,695,972,
492,386,333,357,302,237,226,748,192,144,132,302,054,148,118,774,915,401,838,
581,928,893,215,067,518,440,950,260,277,152,184,848,627,246,066,795,513,914,
277,306,301,903,884,184,101,563,289,013,369,279,953,106,809,617,153,628,788,
791,851,439,089,370,012,130,440,297,068,168,531,286,666,689,261,503,899,381,
639,333,876,401,344,908,912,375,339,907,282,585,168,606,583,245,346,515,208,
382,496,984,191,364,139,955,747,748,499,592,127,536,515,243,086,683,640,559,
331,593,254,495,750,927,941,211,655,388,350,564,880,776,905,490,306,953,398,
608,836,687,732,750,269,345,719,595,711,810,344,976,334,122,580,645,053,463,
912,439,170,290,932,933,038,130,545,917,403,610,117,625,140,186,694,684,565,
252,029,424,985,990,256,325,407,974,495,987,539,629,655,359,782,785,058,954,
010,666,751,150,867,630,098,298,266,473,637,501,029,394,907,649,734,683,278,
073,964,725,324,718,217,615,847,485,180,996,182,272,163,386,834,159,917,776,
737,331,952,559,709,248,416,792,612,713,578,986,304,920,039,295,676,711,174,
978,245,615,555,540,750,652,619,482,530,972,814,692,054,164,350,669,718,615,
590,761,396,337,999,032,769,543,634,338,664,721,835,843,425,783,012,908,346,
366,493,598,527,633,984,149,059,106,216,932,431,353,712,351,156,781,386,443,
611,936,274,154,823,947,918,820,303,745,183,163,458,312,682,610,618,287,293,
769,463,415,712,491,622,270,892,491,218,415,936,936,246,009,114,394,547,113,
003,367,144,783,050,180,021,679,076,879,546,951,771,754,691,310,756,056,100,
183,308,798,654,927,062,036,754,179,088,052,090,102,560,061,588,539,638,442,
246,637,457,334,953,936,984,864,079,706,394,741,718,193,893,086,020,494,006,
546,663,290,091,089,563,820,976,730,182,146,965,266,024,811,065,344,433,941,
093,668,455,949,602,163,580,783,475,538,405,260,681,362,839,845,270,896,891,
102,618,828,305,459,936,761,520,720,846,828,053,673,176,248,888,144,332,888,
623,143,250,549,815,587,819,848,837,901,181,329,821,351,833,633,699,315,787,
755,805,076,677,680,844,487,617,175,338,250,427,182,450,563,428,757,496,562,
648,997,794,982,231,755,512,046,856,704,635,535,398,949,829,645,432,468,246,
081,982,803,584,410,868,000,455,393,644,014,298,255,239,016,944,215,653,259,
019,450,231,586,689,720,148,954,147,485,823,541,712,804,930,801,028,189,567,
681,590,418,704,404,887,391,339,915,387,853,976,993,115,004,030,664,338,634,
309,754,643,944,577,593,206,027,274,036,567,219,198,950,737,503,418,461,360,
596,985,462,868,757,063,882,501,741,404,570,433,888,574,371,751,304,471,489,
236,230,596,396,640,161,067,475,717,196,411,641,767,216,845,014,642,622,202,
602,194,892,983,711,639,244,232,728,751,666,045,183,006,766,780,634,417,984,
718,304,539,115,965,739,587,643,548,169,893,030,765,257,446,264,201,240,629,
983,555,912,129,594,784,809,721,783,114,366,419,319,265,507,236,398,736,608,
923,100,967,703,676,592,909,952,062,915,216,187,545,232,769,796,705,310,960,
190,143,982,112,706,865,445,418,202,602,383,346,619,493,197,068,984,263,597,
306,247,127,152,846,030,475,771,024,952,406,373,657,873,757,470,371,302,891,
927,074,346,705,281,190,225,412,611,626,948,098,031,095,582,021,437,060,241,
908,439,588,190,277,558,980,177,525,927,148,005,605,230,202,379,807,929,693,
940,133,189,298,079,169,245,324,223,161,601,658,062,236,884,161,264,833,697,
429,800,139,258,938,654,549,398,437,687,275,487,218,646,675,526,952,013,376,
320,640,624,564,622,395,842,791,035,681,215,864,270,500,382,346,177,899,268,
351,392,056,195,654,089,278,739,794,085,799,189,648,497,877,233,174,357,419,
824,815,745,643,655,336,000,509,918,478,520,519,134,072,866,438,529,068,626,
848,218,078,646,861,698,894,752,639,519,347,335,106,199,068,254,227,962,596,
528,995,543,924,403,867,424,400,421,751,529,220,466,456,336,204,794,909,378,
792,142,824,227,210,947,639,287,236,871,390,968,416,874,605,221,428,509,288,
434,813,446,558,440,688,305,582,723,473,812,989,591,480,916,182,391,452,975,
544,903,219,757,901,357,757,020,142,355,207,704,598,609,498,039,471,429,327,
237,347,443,408,009,357,439,427,628,250,612,487,861,467,949,536,164,705,537,
451,733,197,917,855,481,011,174,385,072,534,279,229,811,685,055,888,861,286,
184,031,158,937,640,366,934,887,805,189,949,308,584,528,672,375,117,989,735,
105,142,278,433,794,690,001,838,704,329,233,914,462,037,063,551,026,179,967,
157,566,130,742,811,026,397,937,677,776,639,968,271,688,638,731,942,597,650,
968,565,105,573,354,306,519,942,286,737,821,047,381,656,223,544,679,965,512,
909,406,971,604,658,152,309,349,057,239,320,333,347,271,482,858,411,667,829,
969,333,304,681,707,040,028,336,639,206,597,050,912,884,572,879,773,235,338,
527,041,266,566,233,177,934,849,481,543,104,575,991,832,865,156,956,708,752,
497,486,888,867,609,704,749,443,048,321,467,568,278,452,202,372,655,364,749,
988,340,090,292,839,385,289,508,553,098,575,012,704,618,474,173,162,146,807,
940,091,055,357,817,322,211,584,829,190,125,679,385,022,784,786,082,123,754,
510,238,627,214,730,864,002,625,855,933,115,842,327,255,676,758,532,101,407,
585,533,673,107,223,059,521,284,426,114,317,915,206,022,387,185,174,668,876,
821,207,717,119,999,617,056,941,696,565,209,722,772,477,941,288,943,679,426,
408,411,942,122,027,001,919,571,070,840,484,977,034,189,064,408,843,930,339,
154,991,459,401,996,495,784,498,221,588,950,764,372,705,071,903,249,104,632,
941,035,730,490,130,957,145,891,300,812,262,286,656,302,754,498,652,504,789,
170,120,372,601,420,085,247,272,690,169,977,974,346,023,730,663,349,372,035,
038,490,028,293,809,696,615,067,419,310,410,913,084,417,771,619,443,651,894,
558,628,398,872,121,180,917,294,136,487,955,372,395,621,683,845,087,883,957,
818,988,506,701,049,412,014,726,190,802,136,238,364,707,659,742,332,716,182,
616,519,630,222,359,774,842,397,736,525,351,529,432,055,366,259,643,915,524,
046,945,736,723,126,223,545,763,774,688,237,127,352,195,022,772,766,439,881,
989,689,789,545,692,333,343,297,711,248,969,606,271,166,657,057,387,525,958,
138,683,865,970,091,985,512,651,032,354,735,784,877,691,422,148,056,060,029,
858,515,506,982,580,616,024,653,738,801,668,757,176,040,230,489,808,189,975,
561,318,572,182,613,557,441,216,445,503,308,679,449,391,713,826,958,938,119,
807,333,684,099,529,482,343,441,642,368,060,636,955,536,943,417,003,377,149,
529,010,583,859,784,688,793,173,049,509,674,482,783,125,020,960,920,543,193,
508,990,815,885,785,566,840,512,696,093,110,390,086,171,163,440,291,448,226,
616,676,042,538,058,429,555,995,719,485,073,183,681,656,979,043,410,437,436,
062,662,420,112,581,778,369,035,384,151,627,986,455,580,399,142,156,111,107,
784,690,038,613,302,410,554,773,461,762,100,406,723,450,780,746,888,844,257,
993,137,409,202,300,060,512,124,980,616,948,618,324,509,756,306,340,250,258,
127,739,181,232,273,316,388,793,597,203,742,258,048,463,988,721,720,170,313,
341,585,205,761,853,834,154,715,124,008,407,091,679,283,648,962,870,713,081,
895,534,185,413,413,683,050,892,348,222,080,291,336,500,907,384,100,266,246,
400,466,653,366,964,694,721,469,026,510,882,272,773,150,784,618,172,150,418,
173,832,544,930,945,281,336,009,592,837,555,916,690,417,861,441,301,796,616,
278,890,046,797,426,009,149,961,721,674,804,617,678,547,649,052,679,653,327,
962,444,442,370,220,938,876,966,630,182,853,171,576,909,675,196,253,763,352,
350,530,633,790,387,246,076,777,482,807,252,297,948,181,779,271,064,180,212,
891,495,479,701,989,636,541,594,581,234,891,243,052,546,351,309,918,851,092,
310,546,206,000,688,355,370,142,777,447,913,778,124,695,097,958,525,104,676,
925,163,204,141,833,857,065,820,346,842,170,174,312,372,211,935,248,587,593,
193,185,874,980,377,147,337,345,733,839,433,226,274,610,643,967,214,937,847,
483,367,138,094,018,573,620,206,517,923,455,930,655,440,579,405,828,074,597,
917,495,903,286,341,765,642,394,395,766,278,501,667,755,583,987,685,180,360,
929,665,898,136,501,582,879,463,775,745,814,185,911,713,140,765,865,705,170,
171,916,128,166,602,156,871,216,626,444,998,907,765,090,950,798,670,718,503,
080,869,886,417,926,124,736,785,834,374,490,358,807,573,503,549,233,584,191,
431,052,348,500,717,398,673,496,209,562,703,336,749,414,491,968,234,739,421,
771,360,684,863,691,501,758,663,906,621,418,386,044,343,844,017,822,817,931,
903,965,389,244,412,309,726,994,191,074,488,506,174,729,069,011,865,020,505,
264,208,417,259,623,674,715,942,789,994,103,529,675,534,644,526,219,361,287,
687,241,543,059,725,546,666,483,248,108,927,832,738,222,091,514,036,451,076,
331,167,455,709,287,008,638,995,148,146,587,048,663,301,258,032,072,083,987,
491,752,398,585,642,292,857,939,652,813,662,199,212,612,480,095,113,938,742,
873,695,049,798,152,004,109,232,600,608,430,879,630,146,572,592,093,418,066,
776,328,922,401,788,552,675,120,449,759,347,980,582,340,710,026,905,349,882,
658,650,856,139,643,715,104,662,883,346,863,322,405,289,049,633,917,590,691,
571,392,234,257,524,050,574,614,019,250,207,016,864,963,459,307,452,210,415,
873,936,511,247,643,166,415,049,895,595,187,155,336,006,238,295,206,893,959,
503,103,681,883,068,886,646,975,474,683,908,183,543,441,848,705,864,503,686,
838,277,951,124,647,572,679,018,978,932,526,059,281,647,158,968,782,380,613,
683,770,360,364,907,397,938,013,162,893,769,287,499,327,690,365,591,728,702,
565,514,020,372,275,065,106,618,443,077,892,866,648,111,270,373,389,545,271,
535,122,692,206,800,695,533,815,150,282,339,607,054,493,559,303,826,167,255,
894,553,518,614,405,127,248,504,095,430,108,791,465,915,519,309,690,363,522,
575,411,176,838,521,724,850,849,091,503,446,309,323,971,805,483,803,078,481,
756,542,552,026,693,850,426,710,013,967,897,792,086,130,283,468,957,325,742,
449,073,093,827,057,377,442,724,353,031,465,985,235,051,585,226,933,288,541,
981,870,469,461,814,408,259,173,680,768,741,788,576,939,179,721,941,010,296,
537,272,555,629,911,430,723,951,477,407,815,171,847,279,586,294,372,948,362,
338,163,280,968,764,922,740,577,760,826,559,395,403,544,100,306,633,521,585,
270,678,832,997,275,121,181,435,387,658,988,588,196,191,353,632,393,373,735,
719,995,880,778,875,902,059,355,988,515,562,966,216,111,419,771,504,382,864,
199,556,225,015,440,107,586,036,616,845,552,361,612,370,688,833,808,843,600,
310,348,110,699,630,006,967,635,461,741,868,964,821,884,028,417,480,102,767,
006,942,910,205,122,760,743,157,150,701,562,655,463,303,131,109,435,095,020,
680,478,365,722,053,308,373,372,599,355,641,631,154,572,843,994,755,882,014,
168,966,152,767,356,905,804,269,176,117,097,484,369,239,719,205,572,865,208,
745,997,403,439,845,437,487,019,325,402,028,995,633,810,453,726,841,639,132,
425,469,323,977,595,434,877,424,498,136,198,540,277,147,793,707,227,936,152,
807,493,854,292,352,747,275,595,762,167,010,241,876,151,502,812,237,372,852,
570,763,482,950,776,345,923,202,893,297,551,662,464,531,433,721,825,881,815,
456,507,517,891,060,815,902,383,706,914,071,229,432,092,327,173,323,095,303,
971,921,261,834,431,119,829,505,094,389,966,688,534,302,759,580,519,394,634,
397,484,777,188,921,506,682,126,760,191,818,576,138,410,990,399,187,246,386,
828,914,285,834,851,553,938,170,814,472,313,082,195,443,867,884,456,348,562,
291,856,668,790,506,778,915,274,156,114,653,094,055,351,341,501,639,647,970,
900,832,216,911,651,072,748,395,309,504,495,160,214,523,722,595,939,838,321,
592,017,330,356,129,155,845,916,195,838,030,425,922,091,372,613,677,301,787,
165,428,870,201,740,340,575,021,567,521,678,661,118,361,154,936,760,392,653,
060,983,402,162,228,539,114,407,119,842,404,904,989,525,886,433,207,085,148,
612,807,161,058,122,612,498,687,272,333,195,640,129,399,028,569,923,181,467,
124,511,078,425,844,996,834,478,314,192,157,745,903,897,840,877,067,977,132,
010,606,816,931,167,433,463,621,724,941,132,815,465,239,343,013,779,450,726,
082,840,142,171,374,250,003,890,212,231,298,399,576,595,006,617,124,188,660,
279,372,366,492,783,242,789,033,198,240,595,343,296,664,482,707,503,200,254,
343,354,363,385,141,121,416,349,315,838,925,840,363,041,223,398,280,914,894,
736,225,182,989,965,744,057,990,125,736,444,664,665,738,909,753,969,943,276,
470,433,208,669,628,003,771,495,687,580,219,201,233,796,812,026,262,688,671,
395,540,833,369,547,051,803,931,727,435,302,653,519,302,157,005,210,579,912,
855,732,146,476,159,054,765,197,827,710,223,534,529,728,562,769,548,323,766,
542,800,258,785,468,599,801,825,655,103,947,262,930,364,328,009,389,542,243,
206,432,798,305,892,358,776,343,823,247,205,026,557,984,153,006,937,393,007,
434,860,903,318,164,164,783,523,980,674,253,005,609,097,823,938,475,916,006,
095,555,046,677,695,149,567,517,139,247,957,559,053,701,038,253,272,614,754,
889,988,913,383,205,678,624,969,744,432,132,476,628,927,820,895,706,223,838,
895,653,293,837,912,212,583,386,912,419,017,883,780,606,072,728,029,528,054,
561,571,935,317,129,321,638,385,380,888,890,446,132,790,614,219,570,582,094,
261,817,906,452,337,459,835,572,882,764,934,086,018,492,023,524,462,447,932,
620,489,110,306,000,964,370,710,656,158,001,037,521,009,285,842,033,440,464,
217,396,896,200,680,334,286,005,361,899,748,702,691,438,826,645,520,277,389,
333,765,737,669,269,815,575,831,411,444,368,553,140,706,517,947,093,569,182,
855,907,595,647,841,971,556,900,707,665,138,418,480,404,082,735,388,748,110,
458,541,877,076,320,033,321,133,431,153,876,030,711,351,309,057,800,870,806,
500,910,107,961,801,108,075,946,155,824,015,310,031,449,968,876,790,501,687,
727,021,205,088,794,129,256,845,540,358,379,110,185,415,872,433,279,943,757,
980,940,264,204,779,388,032,532,195,796,139,160,415,456,294,563,086,659,307,
943,404,553,697,223,551,344,386,259,110,190,114,326,747,734,790,161,978,416,
844,986,875,048,948,099,144,488,520,102,259,131,721,980,555,932,018,962,387,
865,558,827,119,299,700,130,510,613,384,050,615,096,270,560,989,849,761,387,
505,567,828,350,056,222,779,872,397,904,713,102,712,950,041,718,385,977,406,
912,356,165,903,820,161,007,151,481,439,769,068,694,111,236,047,796,304,769,
346,513,601,548,981,349,643,636,761,160,850,117,932,088,093,253,207,257,136,
072,848,564,494,385,400,805,249,203,027,583,478,043,528,297,042,183,296,429,
348,475,427,223,113,805,648,789,080,138,272,426,098,313,189,078,765,833,111,
043,554,673,281,581,932,144,147,441,062,533,874,343,884,776,400,589,656,124,
870,027,601,554,560,586,054,274,309,062,699,531,501,935,233,465,795,063,119,
282,656,852,142,655,709,316,654,592,964,167,411,214,617,378,440,553,844,053,
212,738,253,885,976,979,099,501,768,479,875,354,399,425,591,739,408,255,085,
770,702,300,532,800,690,146,553,257,035,999,032,373,112,799,206,598,630,056,
278,745,661,865,665,876,604,549,457,199,920,875,361,683,937,955,082,539,274,
251,933,713,801,044,266,387,746,130,372,194,564,700,086,189,171,259,496,270,
304,983,831,324,103,685,556,608,007,178,424,455,444,267,737,618,324,796,624,
988,977,377,818,509,825,349,694,715,599,824,269,389,788,147,455,523,938,439,
055,006,689,686,528,957,332,902,751,596,663,749,092,603,434,398,290,675,216,
455,979,599,262,971,458,098,955,592,495,704,596,820,954,661,001,503,397,132,
090,162,898,063,365,829,975,292,071,743,515,551,632,232,847,102,707,182,555,
313,194,341,351,813,789,789,499,503,328,395,574,737,380,151,329,573,131,338,
971,996,396,149,333,629,521,052,828,484,755,895,312,015,604,716,160,976,291,
487,343,271,169,445,609,598,802,412,419,296,518,463,588,845,956,694,934,437,
124,882,278,079,619,434,913,890,719,655,876,232,213,777,291,100,645,645,487,
450,678,531,890,223,857,110,558,801,238,974,663,920,250,488,186,551,857,792,
871,010,675,759,790,076,801,880,348,767,640,757,126,041,959,583,214,323,238,
008,156,603,858,938,654,096,120,317,402,103,882,062,641,906,698,489,197,412,
958,700,662,469,757,616,046,193,254,003,627,692,540,877,340,295,582,983,337,
708,628,325,882,186,925,323,933,838,282,518,859,234,756,643,571,130,134,610,
332,246,338,103,351,523,979,535,027,168,237,644,538,786,997,046,188,991,659,
364,728,812,677,518,913,911,699,894,505,997,846,754,611,086,617,279,850,045,
729,926,630,596,775,237,433,560,558,706,384,831,590,274,224,739,968,962,276,
305,225,746,709,796,819,876,561,394,974,939,069,572,183,793,923,156,335,968,
938,333,997,036,104,449,515,456,345,180,548,225,043,556,555,638,257,597,180,
770,127,089,750,652,504,067,367,731,945,529,458,584,615,701,444,578,306,193,
878,283,792,474,931,139,396,838,060,989,296,068,892,867,420,272,080,094,657,
297,504,229,465,532,630,148,872,296,072,605,927,572,464,885,370,878,586,511,
203,701,101,529,578,097,059,408,362,404,938,611,744,235,169,443,733,066,048,
267,564,788,327,463,547,368,843,192,193,230,832,411,965,240,497,384,014,043,
866,547,342,946,884,575,188,209,125,728,858,778,853,285,901,257,958,596,879,
994,200,780,113,425,316,418,392,138,446,425,801,865,367,785,924,738,841,210,
912,844,468,072,406,581,273,050,152,637,305,670,456,980,573,831,963,594,097,
284,944,395,862,194,916,531,403,964,109,077,232,052,897,550,227,270,799,434,
611,642,683,910,796,110,078,085,593,478,927,979,455,643,071,561,679,554,726,
392,631,022,308,430,474,311,708,986,865,946,255,917,129,547,612,314,945,877,
860,210,377,392,189,278,375,073,152,622,723,563,252,645,009,799,987,172,638,
628,170,286,304,832,252,929,656,002,432,876,526,919,784,655,419,264,082,663,
176,357,311,489,067,611,174,301,332,479,110,671,552,534,288,141,792,971,965,
905,111,412,655,558,725,150,220,648,474,796,224,705,767,278,081,757,479,695,
354,649,873,771,921,285,081,971,005,345,425,562,866,735,132,636,405,402,032,
707,249,800,466,653,244,204,237,958,711,097,252,509,528,495,744,879,350,026,
110,905,225,995,651,689,695,666,435,929,835,713,242,372,616,039,544,791,240,
864,278,263,171,966,545,464,181,543,175,552,434,454,083,077,577,800,356,594,
341,371,414,241,312,286,013,466,481,005,883,099,955,918,246,499,190,094,500,
274,181,582,525,406,022,013,059,351,675,972,328,824,789,283,978,582,679,410,
233,572,471,108,442,050,052,793,261,500,389,664,861,654,209,103,360,867,734,
870,068,522,075,023,634,291,019,159,388,117,332,587,212,245,325,844,678,457,
739,609,435,980,151,062,465,491,126,745,797,185,766,213,687,582,388,191,069,
688,421,563,051,499,492,442,096,851,605,909,417,544,568,624,356,726,110,646,
273,475,911,749,645,345,965,523,767,310,184,434,948,248,577,772,075,777,787,
227,769,146,534,021,902,765,772,313,695,709,897,150,075,923,055,693,440,258,
364,034,876,879,936,376,843,421,962,244,558,682,568,728,503,823,039,480,548,
166,067,578,111,165,616,644,114,103,671,047,493,496,612,783,610,864,784,026,
713,872,056,473,790,305,160,809,923,556,065,144,903,038,491,806,090,653,940,
796,298,409,044,690,002,632,067,136,255,262,916,441,079,245,575,818,656,626,
946,804,724,520,198,538,885,485,974,829,297,767,606,797,128,248,544,552,962,
877,464,067,864,732,389,740,602,724,057,422,125,446,409,879,999,708,796,948,
400,009,115,945,269,515,495,817,216,889,153,266,472,287,019,703,272,858,928,
035,051,863,640,375,752,089,022,484,786,974,078,187,888,530,546,197,175,281,
223,973,526,670,247,425,489,437,541,762,040,560,687,587,942,341,675,367,296,
144,072,384,020,054,097,351,558,932,305,129,133,470,354,719,870,250,994,615,
196,691,239,461,809,313,388,445,258,087,640,565,031,671,369,151,590,086,035,
880,087,906,449,432,831,002,394,205,976,420,805,851,131,171,293,184,100,379,
594,062,866,395,347,760,253,719,920,046,821,590,347,728,814,607,450,207,359,
788,233,125,135,761,432,312,307,785,945,254,835,727,139,614,101,110,930,934,
773,453,849,166,768,702,492,514,275,254,404,361,429,517,219,954,444,162,064,
143,189,400,429,467,921,160,284,407,113,142,782,141,258,093,267,381,589,861,
415,204,768,381,459,437,153,536,978,906,597,838,955,984,389,663,401,112,858,
180,876,242,103,094,372,766,864,469,537,620,177,950,909,585,811,014,051,556,
395,970,843,584,166,866,490,011,900,647,137,192,571,311,954,475,630,669,614,
678,393,012,815,957,985,378,357,081,318,531,796,124,432,011,784,658,372,967,
752,211,178,975,453,056,991,160,284,447,133,179,769,924,262,774,212,930,130,
131,844,887,789,375,784,172,561,358,471,635,518,774,548,125,726,421,558,169,
256,529,693,120,125,032,978,111,239,452,726,521,691,729,957,206,283,564,351,
510,669,647,575,531,014,950,925,952,616,542,601,408,328,417,751,514,975,836,
294,638,203,196,042,602,614,198,860,202,933,470,802,426,397,234,596,193,530,
318,778,250,299,231,363,263,231,480,764,599,785,155,638,258,421,553,399,083,
674,398,106,838,319,066,462,033,775,684,425,284,467,001,842,012,174,646,477,
072,512,616,319,929,512,318,383,716,911,340,499,403,317,721,511,968,667,985,
779,113,343,241,410,492,881,662,610,681,987,117,892,984,922,106,138,094,391,
637,864,663,214,993,176,947,677,516,427,472,512,582,774,121,529,746,621,275,
520,602,755,422,356,123,727,659,229,813,202,948,700,617,613,731,047,170,800,
360,218,128,884,967,497,187,338,175,500,586,375,936,843,163,297,010,303,587,
856,457,727,022,706,554,334,534,310,487,784,972,156,410,781,968,724,676,083,
572,606,294,285,616,486,596,349,749,510,688,141,345,757,764,781,806,430,426,
332,476,348,482,035,805,504,305,556,287,341,943,361,001,598,329,547,629,387,
130,794,040,617,350,727,556,800,492,405,339,836,939,471,783,925,089,443,798,
009,197,783,316,122,537,143,843,476,851,675,675,919,312,712,389,116,245,573,
597,232,064,811,678,619,281,094,505,456,238,857,778,034,239,166,329,458,235,
134,402,281,286,793,973,236,119,483,835,765,345,790,816,720,668,482,451,449,
017,828,797,744,902,260,398,961,212,701,453,271,087,266,015,424,198,561,408,
505,213,705,202,850,531,800,517,391,974,218,785,682,272,345,190,595,983,352,
814,506,092,414,623,825,348,769,013,140,780,115,184,728,260,642,106,481,407,
125,774,192,393,841,123,277,274,396,161,407,886,418,502,917,387,683,718,074,
951,388,191,890,388,168,078,961,397,849,625,528,572,484,193,117,948,293,290,
472,582,650,933,576,427,777,054,417,563,217,484,975,256,751,140,643,884,486,
997,451,289,178,127,467,768,264,318,279,160,431,729,333,222,206,982,687,159,
628,385,795,220,185,166,554,697,603,319,779,996,553,603,153,342,783,711,686,
880,426,756,428,268,340,980,643,465,436,366,660,026,289,140,380,702,657,438,
782,888,442,607,034,091,105,365,558,300,886,522,012,473,558,775,513,965,407,
871,173,644,564,240,969,806,480,103,728,051,010,776,287,030,976,388,943,366,
244,266,225,862,988,680,472,653,190,501,557,587,439,450,734,294,716,299,885,
799,519,021,611,126,064,536,128,628,733,282,441,146,209,908,645,383,384,223,
323,925,751,643,922,133,160,732,655,804,785,777,392,778,616,364,972,997,311,
367,741,360,121,599,800,572,377,184,793,002,195,439,179,299,996,465,750,267,
989,736,822,556,886,029,049,623,930,278,900,049,916,455,624,502,969,683,191,
353,802,865,087,125,747,171,114,364,820,383,032,217,676,306,730,270,387,555,
227,852,822,890,333,869,324,752,277,914,524,341,729,288,544,174,363,755,497,
379,417,111,260,323,153,738,349,753,879,308,898,853,299,824,098,361,684,554,
787,699,253,818,162,248,710,567,463,116,893,360,717,637,919,549,619,653,929,
698,712,720,103,970,364,347,052,168,094,389,487,761,798,078,685,710,416,065,
703,080,036,022,208,530,099,782,836,207,396,183,943,953,935,348,046,330,490,
876,179,276,240,851,052,485,905,234,967,254,448,081,097,487,203,756,121,845,
248,355,951,257,211,918,420,316,379,790,888,135,441,268,931,068,289,809,862,
348,848,370,890,421,468,906,758,767,384,531,155,461,024,186,077,567,323,538,
881,643,175,734,015,429,406,473,472,737,110,224,206,182,278,840,113,126,226,
465,645,790,709,286,867,066,657,481,400,928,143,565,973,919,980,094,675,201,
120,175,025,983,555,408,452,355,177,917,006,033,643,366,241,272,415,038,521,
147,305,310,265,607,724,217,578,214,199,154,464,639,268,961,571,881,855,785,
339,806,592,718,870,428,728,678,742,341,715,991,940,026,891,353,068,944,370,
639,153,591,163,248,282,030,577,243,431,572,780,655,333,673,077,971,616,763,
348,340,801,969,765,790,614,256,957,312,613,815,153,511,389,633,886,883,697,
806,157,698,116,045,194,533,658,695,855,659,510,467,788,439,676,744,889,626,
138,066,127,343,270,514,085,120,094,860,431,945,783,867,014,071,979,804,936,
436,803,914,069,857,620,289,298,643,331,457,836,149,256,099,987,995,896,003,
289,239,545,005,757,373,404,567,704,417,123,696,283,956,571,855,563,064,463,
001,061,699,067,043,090,603,992,628,226,922,865,411,307,943,416,552,683,653,
780,676,844,996,269,897,029,920,757,713,378,402,346,526,025,229,991,656,737,
004,511,964,953,293,132,888,398,649,084,105,874,968,112,427,092,846,920,533,
615,202,291,167,120,937,062,768,187,753,258,767,330,424,777,299,334,997,026,
986,437,860,823,855,862,355,667,135,429,556,824,555,863,353,153,561,375,843,
975,489,127,167,897,258,168,531,665,731,375,788,309,569,433,757,328,698,485,
352,586,743,869,055,340,137,776,877,368,747,163,384,946,066,164,845,855,856,
624,428,023,712,574,313,103,521,041,046,011,080,935,312,053,523,357,100,978,
017,478,785,059,586,431,442,442,696,458,594,214,389,994,313,110,598,397,979,
430,639,165,924,134,278,270,789,123,251,588,942,718,932,010,196,470,159,436,
282,234,616,959,139,486,015,567,162,892,122,391,585,238,786,413,731,590,496,
171,959,845,877,573,503,575,600,258,181,958,071,970,822,367,276,229,737,260,
133,012,632,736,507,400,243,043,098,041,298,573,177,771,230,686,163,632,322,
944,551,780,659,178,887,995,865,309,035,497,650,516,787,434,062,238,449,767,
134,775,833,118,751,974,500,913,690,947,719,910,835,897,829,702,186,410,338,
908,156,079,444,145,283,944,501,085,980,260,085,647,244,002,031,954,737,760,
542,425,540,922,291,817,188,182,765,275,046,125,590,408,940,053,295,594,239,
305,161,971,239,343,041,586,881,607,799,678,104,058,241,693,413,866,088,227,
297,652,659,442,201,700,556,364,555,077,998,905,768,680,097,708,846,509,485,
929,163,560,646,333,094,257,886,823,174,147,679,864,004,258,617,577,971,412,
466,550,187,399,577,860,325,973,059,900,597,221,380,945,261,441,313,991,371,
986,255,319,614,234,589,995,894,774,477,738,619,546,659,879,233,049,833,643,
441,274,460,378,283,935,113,980,504,120,343,051,359,963,822,067,191,428,480,
188,728,459,375,161,458,156,807,028,070,150,796,167,842,721,800,561,370,644,
499,326,176,015,848,488,192,889,281,345,867,628,665,091,759,783,560,444,171,
149,765,988,443,834,460,275,076,129,941,397,105,182,419,167,194,583,732,253,
541,698,161,721,540,062,161,256,155,224,656,577,127,203,903,535,132,633,078,
594,200,253,254,514,144,248,219,181,089,006,079,457,906,089,742,900,615,502,
871,412,178,881,254,090,028,925,719,274,846,275,747,757,393,160,269,648,161,
021,418,883,416,129,569,777,655,115,484,260,678,935,108,648,847,853,818,820,
077,357,410,459,671,504,150,726,389,994,362,621,783,860,447,193,212,097,096,
417,031,412,644,409,249,333,665,413,322,539,873,084,926,153,463,976,031,166,
919,770,811,508,943,897,332,616,138,830,771,306,648,022,985,451,260,001,520,
389,241,635,306,583,984,998,766,424,887,811,469,822,653,006,122,318,110,181,
159,588,527,091,404,376,979,543,350,069,562,504,976,849,797,002,966,412,605,
851,583,744,353,904,976,172,690,421,637,855,714,724,598,826,969,718,814,139,
017,225,062,878,601,703,656,908,720,852,150,904,875,620,509,179,493,186,653,
979,607,836,307,323,636,549,350,156,387,286,793,704,227,133,310,750,380,889,
792,141,882,625,523,686,699,866,576,169,584,645,728,903,944,686,180,044,506,
541,741,307,297,535,951,699,107,176,435,080,669,015,508,322,004,128,127,970,
098,930,495,001,109,531,163,352,760,948,749,121,533,212,173,286,976,305,362,
649,993,279,148,421,680,849,778,558,483,346,129,382,776,378,921,034,179,282,
356,324,106,935,815,935,598,693,256,765,057,343,610,951,137,641,368,189,429,
990,731,723,616,087,476,862,543,734,587,320,380,823,046,142,386,038,620,143,
688,753,253,676,218,002,360,195,489,265,387,966,413,134,365,955,592,240,518,
537,723,269,665,318,815,643,322,727,334,794,592,033,779,439,079,640,903,058,
026,391,853,603,333,941,794,537,812,164,330,046,217,515,262,476,454,055,639,
339,840,272,594,302,198,739,046,697,843,477,644,360,478,942,075,430,622,965,
631,109,334,168,636,156,802,601,391,098,887,085,988,269,007,785,758,832,548,
458,330,653,897,730,879,140,922,903,672,298,002,562,535,499,582,075,965,048,
714,150,156,859,066,510,432,745,662,583,275,398,257,812,886,616,108,066,833,
254,047,925,443,724,957,286,096,769,541,858,786,197,197,477,711,496,940,416,
589,024,014,002,072,200,903,958,364,661,567,565,611,061,132,644,920,436,806,
281,326,284,351,987,237,878,543,650,401,676,217,286,431,037,394,457,999,229,
407,203,633,216,311,551,695,262,295,145,259,808,211,095,796,022,216,254,749,
538,004,892,145,830,451,875,389,149,851,725,861,733,490,899,804,349,816,576,
329,246,840,803,630,482,125,224,835,039,920,031,679,262,105,895,047,606,492,
817,061,429,106,239,158,210,579,891,563,714,008,672,344,215,806,188,332,005,
664,626,244,248,734,192,317,481,563,998,395,831,596,835,244,344,509,574,197,
979,283,889,860,261,942,867,151,236,232,082,086,562,981,223,025,101,454,968,
935,015,582,274,407,241,619,138,014,143,785,975,709,678,690,297,496,146,853,
932,453,094,145,231,460,365,719,955,746,067,079,367,060,529,781,059,096,190,
297,224,567,337,962,218,259,714,011,008,701,591,570,382,834,850,381,421,082,
114,290,499,175,565,278,691,016,583,985,794,934,016,753,625,658,490,284,480,
351,613,201,860,358,179,972,645,016,824,463,122,252,048,447,801,584,272,037,
781,252,922,860,562,181,362,305,597,540,866,764,282,467,719,029,116,779,578,
105,594,348,799,040,827,818,267,568,073,665,891,978,602,041,425,011,670,091,
236,157,026,563,252,104,444,065,901,661,178,497,225,842,376,360,631,191,474,
889,431,965,341,506,520,498,779,301,036,294,035,855,662,500,147,845,280,305,
302,655,227,296,672,096,973,210,976,849,533,451,484,492,894,804,023,615,510,
777,999,192,580,800,600,703,664,159,776,647,288,690,267,501,150,888,008,970,
268,292,661,643,595,143,682,908,543,682,553,100,330,874,716,729,280,255,610,
778,622,617,315,788,427,813,562,300,230,280,423,281,609,110,089,211,186,092,
656,191,887,566,271,932,673,202,389,666,038,350,230,948,954,016,167,929,593,
405,279,183,228,231,442,566,355,800,480,475,298,032,951,111,501,061,860,795,
904,387,176,320,605,952,385,176,324,469,364,406,980,473,181,467,520,098,375,
067,425,648,626,538,255,766,766,491,420,389,882,345,118,368,239,915,512,195,
049,063,437,292,941,935,387,376,846,086,147,815,680,685,861,903,659,877,705,
787,642,867,539,695,599,292,134,561,380,748,012,376,118,850,461,690,292,355,
734,973,714,136,820,238,575,221,847,203,930,486,039,329,511,466,142,107,301,
635,224,013,645,398,493,524,439,501,538,801,932,177,547,599,615,911,457,763,
880,630,822,297,965,170,515,219,262,935,372,221,938,578,008,647,077,391,475,
845,790,012,844,893,961,877,722,335,475,256,424,251,549,039,340,237,707,367,
555,046,705,333,096,317,369,145,394,541,733,759,055,848,086,297,185,685,170,
110,934,510,004,018,030,392,171,671,670,359,505,365,663,042,727,274,409,232,
554,190,546,260,665,466,632,509,132,809,164,709,028,038,856,819,059,263,969,
410,779,778,741,217,352,251,593,891,348,877,046,018,101,516,614,799,936,576,
169,379,914,299,903,104,207,343,464,316,307,495,305,064,435,742,155,806,806,
806,219,335,322,167,048,752,770,563,384,977,526,149,724,492,987,903,500,748,
111,491,027,118,387,876,544,998,692,603,225,849,208,006,885,058,430,985,818,
572,317,629,695,536,518,767,909,535,893,640,210,388,607,043,655,418,671,535,
980,416,235,788,726,895,441,236,583,305,930,040,113,866,332,503,204,248,778,
951,839,537,720,474,508,966,227,702,890,944,572,138,869,857,657,859,816,343,
889,008,372,720,701,570,964,148,915,350,849,621,738,881,184,485,309,135,659,
077,294,032,527,860,885,714,421,600,489,873,133,414,567,712,582,080,181,943,
628,846,120,766,776,921,063,667,948,480,433,802,287,227,353,972,149,266,838,
628,131,182,280,065,843,093,194,151,545,951,908,708,963,525,295,832,336,697,
190,431,300,341,929,647,176,843,175,612,612,201,392,895,776,446,206,042,539,
773,441,017,524,135,983,940,366,030,110,097,847,285,033,966,396,960,588,103,
927,478,939,455,512,794,142,132,411,081,133,914,233,163,484,025,210,556,547,
323,830,245,688,232,220,879,675,130,259,569,347,577,056,316,934,576,463,621,
378,436,476,708,581,000,510,062,500,750,736,058,164,030,461,760,602,281,919,
749,511,629,748,192,451,003,813,805,370,633,403,434,922,142,684,616,688,350,
485,798,530,353,149,554,989,491,224,258,050,718,474,780,508,105,757,281,552,
467,603,574,801,894,343,103,214,920,956,115,573,528,709,415,186,458,875,660,
587,302,294,280,960,892,280,169,576,598,597,881,798,098,790,976,783,058,300,
055,138,337,729,590,687,257,149,831,392,613,822,781,053,211,609,332,731,305,
447,205,319,684,395,060,009,954,153,142,654,715,626,619,344,388,488,413,821,
157,629,234,865,509,424,040,946,524,540,981,832,894,641,981,720,263,556,139,
890,928,001,787,458,804,996,246,848,111,635,341,753,412,338,573,517,105,980,
619,786,281,483,729,876,959,822,238,973,062,576,841,073,263,568,701,826,930,
355,440,840,616,845,105,226,603,522,175,271,517,696,702,939,178,452,362,759,
538,359,414,247,093,409,297,929,456,886,487,390,967,398,054,636,091,218,292,
837,336,773,304,063,686,395,080,530,665,230,245,033,677,565,848,404,144,835,
439,525,908,744,645,708,484,061,583,165,154,342,995,859,043,852,283,581,499,
760,725,684,323,613,141,616,585,640,752,493,570,823,114,851,647,102,965,834,
196,108,052,975,354,132,148,447,453,117,144,923,795,769,743,401,111,897,907,
951,628,508,206,295,257,848,819,163,284,504,610,300,410,643,209,625,668,667,
762,557,477,614,910,459,700,527,897,163,148,620,519,532,792,892,125,282,552,
517,360,255,623,124,391,405,750,303,996,603,289,289,294,122,504,785,248,976,
172,895,126,990,124,214,600,579,150,063,858,864,158,257,756,511,480,705,817,
938,192,189,060,791,684,377,469,612,940,257,380,719,647,112,168,234,774,597,
034,136,569,585,943,127,134,250,008,615,437,710,363,259,345,970,691,830,457,
334,965,702,021,070,253,063,275,468,433,294,635,095,884,096,950,727,553,164,
941,202,014,210,317,332,046,822,557,070,628,268,601,367,983,912,545,134,902,
862,553,196,252,171,063,077,296,640,789,826,604,006,946,255,324,450,038,368,
654,686,453,332,664,335,851,777,801,178,127,499,903,559,247,620,324,387,676,
543,943,513,721,554,170,430,720,084,225,495,812,373,704,770,278,184,866,202,
599,977,373,348,562,671,706,609,272,417,397,925,903,214,615,993,071,406,406,
038,220,651,908,723,089,746,210,396,454,375,579,838,750,409,635,705,282,940,
167,209,601,052,435,781,203,678,337,933,858,714,193,156,863,485,544,257,802,
698,968,150,325,196,394,582,953,629,092,922,901,860,560,628,785,797,858,204,
687,537,735,050,463,930,198,116,926,328,500,270,490,921,139,810,682,081,083,
640,396,719,026,134,039,098,399,739,414,202,269,790,700,981,092,022,758,455,
287,547,883,445,510,372,608,470,552,104,550,446,964,070,085,720,869,678,138,
926,097,531,951,611,655,286,016,546,247,491,272,943,715,460,830,200,738,196,
834,581,328,904,188,332,357,041,870,712,309,034,966,666,771,301,508,475,363,
222,376,654,628,812,785,551,967,684,389,745,665,040,588,196,064,623,228,591,
847,346,075,551,021,187,184,987,005,897,751,175,219,982,631,106,690,289,799,
446,375,847,017,359,444,462,808,306,665,435,721,259,482,681,454,350,224,340,
822,701,078,613,980,747,337,834,460,707,567,968,972,370,901,787,556,280,688,
176,488,637,352,139,592,115,539,692,247,062,283,288,932,041,407,171,443,551,
567,587,279,905,810,969,220,315,300,798,727,323,486,444,692,068,359,300,080,
024,465,460,879,394,417,362,045,761,657,900,355,425,305,400,062,495,976,821,
632,540,946,181,289,453,785,090,547,369,664,183,624,310,137,258,747,794,994,
886,622,795,930,898,351,328,155,290,305,666,473,832,036,983,176,686,450,935,
337,055,241,573,424,849,094,336,835,458,272,924,472,060,073,720,991,038,612,
696,834,603,777,959,993,069,667,006,457,639,447,632,908,440,781,613,062,484,
079,564,674,237,094,372,177,825,044,103,034,347,310,479,383,045,205,333,335,
282,711,162,368,936,575,464,304,096,977,097,214,833,362,213,484,199,401,120,
275,633,053,764,280,407,160,342,356,601,348,385,647,038,789,268,383,451,501,
604,890,762,434,851,794,153,992,640,757,513,125,313,660,591,409,466,726,316,
817,920,115,612,462,197,929,410,057,071,238,478,210,610,392,151,731,986,681,
800,865,249,733,512,507,465,884,398,919,024,318,543,288,450,272,524,533,739,
887,899,023,201,282,693,783,710,316,317,264,488,027,393,517,396,462,618,160,
873,889,404,313,747,285,348,301,104,307,167,882,511,445,157,704,678,546,300,
701,249,979,522,785,332,714,382,566,685,709,452,904,748,710,067,352,647,998,
392,762,377,708,049,533,649,632,584,298,897,523,055,734,226,408,726,914,630,
240,358,962,133,075,191,300,227,356,092,563,513,829,862,227,389,520,624,086,
614,997,119,446,805,342,893,187,962,189,096,791,523,264,542,084,705,691,147,
569,976,613,131,638,424,819,161,375,701,426,449,018,463,034,857,309,529,961,
671,420,613,093,904,925,198,729,163,836,567,221,990,158,564,813,565,030,135,
476,225,222,635,468,329,121,007,610,222,920,973,542,594,400,376,259,981,364,
124,702,708,052,899,372,190,969,507,630,854,821,052,355,842,593,865,670,047,
341,147,847,359,237,707,840,608,571,133,722,712,356,369,849,303,075,229,664,
794,563,591,128,852,295,525,029,440,104,102,983,401,551,501,647,899,762,941,
809,121,039,717,434,348,775,491,458,176,127,565,969,713,667,773,773,333,819,
536,666,021,196,348,314,554,739,642,631,897,738,423,263,056,892,772,184,763,
448,017,456,243,231,195,473,159,114,978,375,382,650,597,388,875,546,975,789,
197,264,837,322,354,095,085,514,391,359,171,918,354,649,761,898,081,235,513,
615,682,494,177,881,386,565,128,560,111,048,027,628,350,154,016,525,672,894,
470,241,346,351,460,743,931,745,107,771,271,637,927,749,973,954,506,257,865,
228,661,593,861,825,455,147,235,005,709,543,598,021,476,019,103,314,001,452,
168,101,691,540,370,335,000,229,493,610,403,578,128,045,357,924,742,944,793,
683,755,625,618,010,968,158,551,947,857,779,595,955,032,996,211,739,582,024,
870,654,588,392,221,505,245,907,738,675,119,272,738,294,938,274,185,978,062,
146,033,905,209,943,012,257,573,821,069,611,955,316,188,232,973,594,447,669,
540,354,689,514,278,570,248,822,307,952,598,902,395,085,901,006,266,133,032,
393,605,784,065,338,718,963,826,339,547,637,605,528,448,988,210,213,393,464,
736,687,735,768,334,836,884,360,027,817,066,168,403,809,575,072,330,882,784,
695,250,370,708,108,607,535,917,724,501,081,531,386,939,907,790,470,556,503,
431,735,794,248,371,236,323,805,784,606,101,847,784,263,744,002,997,131,705,
937,718,962,047,866,944,949,940,910,959,391,549,647,249,663,725,838,490,985,
533,165,523,687,134,676,148,501,320,087,609,226,596,383,723,124,138,077,997,
865,745,400,799,905,893,302,378,397,567,989,747,865,749,870,757,681,921,259,
457,413,574,039,168,072,266,953,443,245,194,105,678,167,754,584,282,437,609,
879,651,245,781,730,562,107,975,829,832,390,206,962,205,014,522,362,004,129,
792,012,747,761,034,297,462,030,849,951,727,720,888,804,746,499,119,936,333,
191,718,422,305,907,177,587,436,927,696,274,931,846,399,003,136,406,934,973,
982,835,273,142,330,166,582,006,334,018,561,118,062,401,462,491,398,160,861,
999,455,879,863,345,632,725,452,582,673,821,375,237,471,648,647,914,358,527,
989,561,012,821,933,792,529,122,257,996,297,696,900,371,146,123,335,083,165,
468,899,692,516,716,906,854,771,414,594,076,088,183,220,753,420,296,416,871,
035,949,829,078,969,852,873,927,790,025,639,618,542,039,187,005,490,641,151,
580,366,996,966,511,823,676,172,864,050,745,400,062,337,225,583,497,408,849,
629,943,159,071,229,547,895,658,643,148,770,432,330,246,608,182,843,034,936,
584,405,139,528,461,042,843,824,020,191,688,980,896,786,276,111,427,674,977,
316,508,549,431,929,882,900,722,105,915,419,676,637,807,177,955,994,026,325,
313,418,803,599,288,317,933,781,685,392,292,708,787,957,390,693,029,630,636,
729,368,876,481,931,730,163,729,832,497,472,485,968,392,851,937,546,043,762,
238,736,630,925,013,477,274,204,219,663,609,358,553,347,616,120,498,147,502,
475,893,365,418,803,093,429,547,158,278,819,387,318,974,685,227,106,894,947,
072,200,093,314,161,416,121,265,991,324,448,548,381,261,535,277,505,117,277,
026,482,104,399,721,900,975,665,159,250,930,189,490,905,706,508,194,861,519,
389,778,842,142,261,420,913,755,946,289,391,510,324,582,286,396,572,019,218,
549,300,141,813,999,920,046,759,052,919,801,719,304,782,645,569,656,138,264,
584,960,349,976,743,239,917,772,526,047,487,206,447,048,755,533,536,105,234,
193,933,631,730,162,593,748,853,607,535,219,321,428,080,947,158,841,589,303,
686,719,627,186,854,237,311,835,678,429,111,882,002,672,430,635,856,695,897,
843,893,988,929,819,365,373,701,631,486,158,991,868,851,893,313,162,564,731,
770,837,052,072,509,327,954,838,564,805,406,628,482,012,336,769,457,914,915,
729,009,398,211,963,119,544,886,785,154,745,424,687,656,483,908,756,620,718,
011,733,377,871,242,411,583,742,474,120,163,621,822,804,481,103,129,991,662,
495,773,146,572,968,847,788,093,567,120,423,313,386,998,461,457,048,834,896,
815,640,089,631,406,431,798,304,040,254,667,874,841,200,271,354,609,027,391,
768,471,658,897,465,430,100,724,138,499,704,028,833,634,417,723,785,147,349,
937,834,624,221,166,065,090,199,767,339,505,360,574,186,230,672,475,254,739,
911,963,942,438,566,162,959,965,554,036,640,758,386,781,909,613,587,770,785,
011,819,439,649,175,332,616,402,887,141,716,088,949,981,458,657,584,167,802,
385,721,926,050,252,329,492,655,032,353,682,837,267,804,223,067,473,688,043,
856,031,994,414,557,260,567,199,910,741,876,396,577,467,737,329,589,300,212,
025,172,288,854,681,365,793,335,959,800,999,689,340,638,477,018,205,125,456,
550,756,914,169,566,436,810,888,553,993,339,197,786,005,471,108,178,872,548,
056,369,328,675,118,449,021,683,015,494,651,052,336,705,457,405,136,572,446,
579,756,909,320,324,540,053,716,595,193,413,661,121,935,382,031,028,088,252,
215,626,545,679,363,266,118,613,749,792,178,271,086,952,053,068,095,592,075,
818,379,610,393,392,570,307,307,064,253,309,689,913,672,667,551,995,462,422,
429,894,478,422,827,637,125,886,888,047,831,861,957,673,967,385,600,968,355,
591,761,179,012,379,538,607,113,843,670,080,993,166,761,711,008,574,104,690,
890,718,173,575,722,629,773,922,841,988,684,869,630,041,328,161,988,275,370,
599,841,880,905,905,183,767,820,402,377,483,381,822,094,722,040,501,471,533,
170,051,260,615,118,602,597,465,509,436,162,419,684,891,810,046,320,339,128,
675,150,187,999,738,392,132,020,079,859,758,294,396,585,582,421,546,167,621,
687,771,821,899,873,574,955,961,291,430,736,961,440,036,730,305,780,072,970,
193,073,819,712,300,615,904,302,540,078,284,968,398,594,902,347,966,067,828,
334,334,359,585,929,383,686,345,097,461,611,356,492,532,050,155,865,020,077,
287,563,499,397,439,407,553,942,047,574,558,860,386,005,430,687,091,092,330,
425,812,092,598,266,642,723,879,474,877,967,794,198,794,833,878,945,627,886,
601,346,173,047,278,311,323,461,556,086,565,538,657,451,033,364,168,854,418,
566,094,752,274,331,773,293,496,878,927,802,965,198,654,133,622,845,954,558,
259,806,312,076,485,477,615,818,499,344,619,707,572,826,215,888,339,348,445,
702,517,342,216,885,345,207,591,667,909,534,214,846,307,644,231,794,327,808,
994,615,658,176,984,058,287,134,920,367,448,709,509,285,008,740,343,387,797,
492,194,307,854,699,708,766,514,632,925,190,442,712,273,653,459,497,611,423,
676,709,260,981,297,998,757,219,627,487,304,004,887,128,601,401,016,551,921,
169,051,516,469,818,057,708,579,062,261,078,115,812,295,676,057,266,443,527,
165,793,351,064,380,851,991,871,828,860,784,417,399,240,393,816,229,700,040,
490,576,271,014,308,437,548,021,363,646,820,517,737,997,198,906,376,900,610,
700,062,623,731,001,928,184,228,214,918,594,308,424,759,198,461,369,251,198,
176,801,991,227,751,569,946,969,430,156,737,913,945,643,926,288,156,669,920,
394,797,818,441,834,088,590,233,541,158,808,564,118,818,122,843,172,040,521,
039,153,592,120,435,266,432,493,199,067,254,925,426,619,687,765,923,559,096,
491,091,639,570,514,631,289,188,415,944,504,927,385,365,192,781,498,240,495,
468,252,618,379,197,038,930,406,282,450,585,346,486,000,194,844,109,649,234,
746,833,854,060,832,639,411,830,408,738,165,104,918,418,766,188,384,961,081,
384,866,507,720,908,672,355,091,256,975,838,483,047,025,225,052,229,037,999,
779,879,351,769,816,631,839,852,983,781,697,678,999,544,258,115,530,380,679,
463,583,993,803,222,410,423,524,153,204,761,086,686,424,804,599,104,444,053,
200,290,500,725,764,907,696,153,125,209,229,912,804,546,489,927,289,021,511,
877,235,219,319,322,798,297,948,495,033,365,795,244,607,792,941,478,303,111,
405,429,893,636,374,132,982,155,057,626,860,140,977,320,193,225,024,906,180,
815,450,602,731,136,194,831,005,512,296,417,058,657,948,560,996,325,414,526,
348,846,172,245,583,356,634,929,582,982,012,781,799,374,747,603,185,203,228,
777,471,792,096,601,099,884,522,286,620,101,558,930,378,505,817,565,434,213,
863,521,082,433,471,075,938,387,576,896,921,015,110,252,696,610,546,917,872,
939,841,946,993,782,053,293,926,694,433,333,002,614,449,855,834,180,445,099,
798,852,993,870,782,375,015,049,240,767,368,419,195,834,293,330,819,456,474,
363,231,891,169,490,692,830,132,963,610,804,344,189,762,124,144,192,238,682,
185,809,114,521,679,364,530,628,990,950,417,091,580,544,699,887,284,952,955,
693,829,664,350,860,994,313,431,507,381,589,022,163,511,889,539,618,518,524,
065,794,590,386,892,344,587,029,245,499,078,864,941,157,007,700,738,752,386,
709,092,214,099,516,285,709,997,143,430,944,778,237,686,948,399,109,450,456,
423,876,254,203,221,803,718,437,939,732,737,922,901,395,240,038,574,279,399,
819,991,079,411,661,473,076,129,793,131,740,697,509,000,486,773,215,675,315,
684,842,292,939,925,091,114,492,518,200,764,604,108,699,310,055,133,937,813,
645,624,333,452,073,477,129,865,023,110,671,290,335,672,954,610,159,163,411,
143,116,495,405,419,146,460,455,825,104,347,423,323,612,414,205,866,959,625,
411,841,884,213,559,106,087,525,924,031,443,463,870,793,592,844,701,395,717,
082,279,906,967,790,004,911,908,002,821,380,438,269,950,258,882,869,257,797,
245,733,713,326,251,031,274,741,672,506,360,625,154,144,686,378,283,804,743,
237,091,530,445,739,821,848,745,717,937,092,237,778,390,081,938,869,794,589,
855,869,525,462,180,562,941,298,229,974,525,890,283,961,392,734,734,202,156,
647,900,003,088,583,618,953,671,708,660,977,714,776,519,033,686,497,741,817,
244,671,597,208,662,558,971,112,926,323,096,851,226,260,033,796,773,247,965,
560,317,943,047,367,098,661,561,092,740,735,128,119,221,096,490,205,870,574,
700,546,955,970,203,266,723,951,267,696,419,551,869,097,131,884,052,030,380,
681,765,744,839,451,437,577,921,109,925,888,161,341,406,711,397,093,869,648,
761,393,311,017,571,198,597,771,833,825,570,781,694,657,306,608,610,660,298,
920,289,631,475,585,433,387,531,460,477,901,890,626,203,220,815,372,548,325,
065,525,447,743,436,575,377,565,930,998,397,710,852,126,818,034,820,027,547,
054,562,598,279,061,316,951,900,442,910,909,998,893,706,783,456,128,322,209,
706,581,347,086,258,269,578,832,963,287,600,857,455,479,370,188,576,698,052,
330,328,776,981,061,620,084,893,905,336,544,703,308,697,416,301,331,679,181,
927,020,072,242,772,858,131,323,811,071,993,351,884,994,253,850,017,082,289,
391,974,048,063,170,662,388,623,869,067,055,363,200,663,469,883,135,659,962,
282,995,930,958,694,000,723,965,471,523,806,089,277,910,037,832,887,120,847,
263,275,061,386,735,213,280,705,015,273,744,913,333,896,731,259,602,317,335,
696,063,367,549,798,676,762,529,157,341,710,312,737,745,409,719,437,373,289,
586,887,455,169,480,678,326,328,550,236,070,146,597,380,782,768,683,068,214,
191,664,978,818,261,713,787,423,710,474,959,336,170,949,897,471,724,684,183,
337,155,912,440,909,021,803,655,339,645,940,884,529,906,859,311,985,859,005,
605,554,157,541,177,962,578,811,357,482,462,247,079,991,474,136,476,280,361,
840,761,032,648,799,308,877,379,970,926,252,918,333,700,815,569,011,765,801,
173,605,003,957,056,933,864,990,474,523,590,540,844,000,615,448,560,468,051,
807,272,730,694,041,170,664,816,079,196,505,719,160,951,798,782,616,175,720,
649,865,397,158,652,182,925,130,884,214,311,443,719,075,282,032,079,387,050,
673,554,035,155,268,363,816,051,477,304,707,146,783,262,388,177,685,165,140,
668,432,041,942,622,835,020,846,581,528,503,059,296,752,516,718,545,770,775,
115,343,925,329,164,258,917,879,417,277,499,819,700,661,603,453,275,642,273,
127,358,075,715,563,839,059,088,365,204,247,873,849,601,479,127,384,612,787,
092,609,128,793,575,302,411,551,133,222,690,012,981,585,164,629,261,770,094,
613,814,918,898,535,735,670,426,226,286,288,218,163,651,815,156,847,070,603,
689,354,299,836,555,261,857,634,090,394,100,160,334,121,698,568,106,213,358,
389,833,290,716,128,522,223,835,970,463,526,772,080,572,435,990,199,863,728,
263,384,172,494,161,507,407,558,428,035,575,393,148,458,899,329,448,713,504,
134,597,521,335,769,466,456,708,490,451,427,507,911,635,797,963,982,703,928,
520,391,404,558,059,416,244,000,877,724,485,400,438,374,246,813,973,428,348,
958,653,163,017,113,299,858,852,410,882,675,689,255,611,648,285,357,133,292,
478,154,010,763,089,474,232,612,517,907,385,712,927,027,615,444,331,131,247,
765,016,343,838,446,077,780,528,316,992,875,870,231,458,190,351,975,001,575,
075,142,007,669,374,797,939,224,232,892,980,236,138,275,211,904,306,020,244,
773,404,233,466,236,170,084,996,389,064,351,555,917,522,413,445,137,459,665,
801,811,412,602,307,824,496,791,915,344,650,647,190,229,954,904,239,906,832,
901,949,609,617,990,110,438,754,894,387,566,515,125,881,423,536,081,006,067,
329,024,169,660,193,341,008,939,474,964,822,578,394,698,491,150,656,192,498,
526,424,562,445,285,718,031,983,793,592,870,500,294,720,654,202,137,531,967,
082,364,761,769,121,656,060,009,211,420,321,540,427,039,546,995,583,135,326,
916,346,981,244,654,583,760,104,877,060,704,591,112,365,646,821,227,027,860,
584,917,636,161,275,450,054,976,684,341,626,003,146,787,463,967,712,626,459,
055,028,472,584,693,339,430,322,621,148,413,144,281,082,628,605,853,450,979,
170,919,243,292,659,727,983,170,347,270,260,784,770,767,891,603,361,500,483,
282,733,765,335,505,504,102,628,989,076,543,847,681,495,675,004,869,250,177,
734,058,834,903,027,349,786,826,914,362,831,175,264,589,702,537,504,094,892,
089,498,739,921,033,327,490,235,790,756,401,286,357,868,482,168,180,298,706,
748,526,875,829,806,682,507,666,228,142,973,575,786,632,735,170,896,261,163,
879,153,007,142,190,076,979,737,135,443,818,538,449,912,796,250,184,320,537,
222,959,533,443,669,313,969,515,990,774,519,242,680,968,997,944,037,646,464,
781,748,282,696,928,212,296,479,338,193,424,719,303,804,635,312,324,953,367,
047,361,820,929,066,754,425,834,852,493,952,871,253,026,016,759,981,692,768,
675,525,670,414,010,498,388,905,532,918,123,600,571,736,124,919,653,499,579,
362,183,044,374,313,167,429,428,375,414,977,036,894,556,945,408,223,694,195,
067,428,392,754,053,215,727,632,370,781,458,657,398,214,197,919,243,897,334,
602,177,757,452,317,822,496,854,255,725,170,314,709,792,122,233,731,886,721,
583,486,366,357,031,170,078,043,128,789,177,771,854,062,436,491,947,866,506,
053,112,701,823,057,060,389,690,383,475,601,049,674,086,261,164,230,162,505,
203,262,899,332,895,825,495,494,870,247,357,501,886,315,379,557,079,986,969,
414,803,385,475,397,472,844,884,639,396,246,526,472,548,716,291,200,781,248,
482,634,668,340,951,828,309,343,533,972,899,131,251,936,218,554,951,467,909,
578,767,306,547,961,958,837,086,554,013,651,976,124,171,733,452,990,560,844,
147,196,629,020,235,942,285,128,585,594,565,533,616,851,613,613,213,356,818,
987,576,589,180,328,966,848,929,556,617,453,908,256,634,069,785,833,484,688,
326,416,925,764,463,109,420,589,379,621,891,649,488,667,061,427,436,871,934,
790,838,879,182,220,836,806,407,099,332,984,969,580,205,245,048,605,916,817,
152,122,022,683,307,855,662,195,990,802,337,682,116,032,769,251,017,421,125,
639,742,684,498,097,919,213,751,893,071,005,653,426,228,245,865,937,838,680,
272,086,786,106,763,671,970,614,857,393,190,538,754,920,133,226,595,975,862,
040,399,008,198,065,114,360,730,353,844,828,199,062,205,407,008,288,777,199,
151,475,132,693,189,379,372,595,956,470,429,511,492,474,999,913,416,837,426,
123,666,733,004,723,242,962,528,891,116,577,562,634,180,028,144,484,476,013,
436,462,853,064,628,802,201,423,390,196,925,104,650,210,084,497,196,376,859,
937,315,043,703,847,124,263,630,434,945,372,740,871,123,998,538,135,164,649,
801,764,472,001,183,247,078,786,427,770,819,325,559,214,836,529,107,463,160,
998,538,430,801,116,112,049,094,193,408,011,313,702,994,356,617,554,854,799,
040,205,081,913,243,792,986,064,121,395,371,741,866,691,343,254,367,177,458,
207,339,559,525,450,653,967,621,756,301,625,831,360,713,654,532,382,871,131,
497,077,767,426,094,952,549,026,190,238,874,300,255,839,168,591,125,083,858,
697,516,343,533,915,575,469,509,502,604,913,644,532,751,018,647,149,879,308,
170,192,579,077,208,833,774,855,911,607,050,165,267,019,734,482,830,676,302,
151,373,326,017,274,920,816,513,247,057,241,863,676,920,430,291,877,230,519,
771,124,343,425,625,478,226,336,906,440,896,790,852,013,282,939,847,559,091,
594,148,397,815,550,674,768,773,308,845,287,461,220,157,763,286,943,419,200,
768,527,583,719,618,109,202,459,476,106,597,256,961,670,159,583,724,364,717,
680,789,900,968,968,218,794,925,911,934,787,663,544,332,586,003,985,477,059,
456,662,354,797,058,332,560,821,438,226,367,982,820,889,940,173,996,807,118,
595,557,235,213,363,553,132,343,076,403,309,547,374,497,139,470,907,587,789,
740,323,574,060,816,960,342,055,745,935,529,963,972,596,362,478,555,738,653,
601,125,860,543,665,945,766,013,017,423,569,925,747,434,181,193,358,141,952,
857,277,650,681,488,726,539,778,501,974,739,350,366,548,190,093,833,078,449,
274,054,042,961,418,513,549,477,503,314,875,536,747,292,543,964,805,136,893,
189,294,328,947,083,153,136,846,700,680,554,725,206,960,766,575,707,140,513,
878,103,366,144,972,612,506,257,958,217,820,090,658,790,703,248,131,448,733,
390,203,379,934,386,533,206,567,591,303,944,945,174,582,453,554,298,023,468,
761,198,892,823,152,658,422,919,302,432,651,113,440,979,305,791,555,936,086,
333,165,259,473,373,429,050,313,083,578,440,717,787,535,448,173,879,045,487,
759,997,076,745,438,980,465,814,281,006,172,661,052,707,284,600,981,927,264,
623,488,709,728,803,126,545,741,628,515,418,249,062,219,761,744,365,090,306,
233,874,412,698,389,914,531,230,770,211,206,477,792,412,636,834,586,845,614,
435,959,888,238,746,103,100,805,982,821,126,122,174,420,417,914,048,252,089,
736,567,413,112,040,016,982,044,386,279,285,318,957,318,832,694,681,777,220,
712,290,025,516,941,823,565,990,283,691,191,319,523,128,831,516,740,459,856,
261,414,715,444,450,887,950,631,855,343,868,168,469,235,040,693,925,229,701,
003,849,501,664,350,100,797,452,742,018,665,548,456,855,469,383,043,216,508,
263,285,184,458,411,469,043,855,817,291,155,475,440,162,988,482,266,205,870,
008,739,120,756,717,476,714,149,419,869,579,896,829,534,292,216,610,905,554,
828,309,689,339,088,024,435,321,987,690,333,982,634,923,667,407,626,970,798,
704,672,732,408,336,248,626,515,407,910,731,903,819,469,814,146,214,642,855,
729,132,257,060,691,576,859,927,691,642,931,044,522,784,333,814,461,044,473,
163,774,295,516,007,233,305,422,508,892,156,199,756,608,179,756,100,303,686,
234,223,605,048,351,130,109,001,109,965,507,447,578,704,252,204,152,817,238,
233,612,047,073,357,430,323,909,900,399,903,460,968,359,529,321,611,240,285,
458,146,918,037,694,247,357,377,884,318,268,263,618,555,834,186,041,513,237,
643,583,703,925,367,195,868,525,036,092,881,398,146,479,829,090,833,922,132,
293,303,582,873,086,323,983,653,465,823,795,338,899,621,333,610,614,128,344,
553,220,146,614,722,373,066,753,560,627,063,614,578,405,497,929,578,207,477,
556,403,718,121,864,876,803,631,901,663,830,954,812,815,827,956,839,064,099,
811,144,548,062,149,146,378,703,561,114,039,921,068,074,640,723,750,035,940,
003,921,929,150,395,416,642,607,168,312,450,083,236,578,748,014,777,823,468,
559,167,325,112,151,419,002,274,431,843,625,919,867,272,777,520,272,461,698,
472,975,540,260,033,507,894,871,795,734,171,017,206,585,856,778,768,230,384,
179,339,580,163,878,118,515,545,172,271,874,194,174,135,814,618,693,917,656,
200,596,904,625,657,186,514,357,345,865,642,713,743,701,465,784,378,873,270,
557,762,429,308,917,034,866,137,313,222,227,780,652,296,602,755,788,410,386,
600,495,013,503,566,217,120,491,086,341,539,000,173,897,697,297,005,837,830,
214,422,948,215,581,164,109,018,493,693,856,816,076,926,710,257,047,442,789,
992,398,605,913,572,285,014,486,433,905,025,360,200,676,033,408,772,519,726,
676,250,985,865,534,173,810,820,621,151,662,670,576,742,260,170,494,257,652,
915,411,515,727,380,617,942,322,207,264,981,600,077,509,044,316,626,168,128,
406,088,971,869,574,751,798,601,866,744,693,766,665,115,195,333,121,297,529,
335,691,432,751,296,103,862,817,389,435,840,595,280,370,680,316,119,946,268,
279,564,986,808,094,356,297,666,237,019,770,041,610,414,250,272,862,535,007,
396,913,227,049,984,257,974,093,447,379,691,072,082,238,347,472,059,197,903,
406,965,666,492,397,095,308,096,077,389,560,817,211,305,963,766,812,215,881,
859,415,636,050,873,199,214,441,359,518,874,037,060,289,257,152,657,245,921,
387,009,264,147,368,271,492,900,491,806,108,896,796,184,338,648,982,417,127,
805,642,312,803,635,443,606,176,338,762,686,699,528,810,181,736,055,381,940,
282,957,490,871,042,791,073,934,908,169,196,711,027,716,647,129,096,286,157,
575,981,440,721,072,238,674,595,826,455,130,926,107,116,866,386,112,818,447,
660,743,861,493,863,254,597,271,026,944,618,528,278,715,679,638,212,266,269,
548,948,371,144,322,161,184,206,483,913,963,983,088,365,979,809,464,691,723,
453,940,122,561,413,838,004,734,771,534,564,870,934,542,143,450,382,030,741,
105,420,244,095,058,265,593,047,159,611,102,377,898,528,347,476,870,980,261,
626,698,882,599,188,159,627,112,332,734,201,440,843,659,612,945,551,957,328,
055,053,116,255,492,170,668,290,516,036,024,274,448,822,945,118,467,796,099,
469,615,229,457,766,324,585,261,649,552,735,340,354,065,195,541,975,412,694,
558,242,637,510,319,030,446,793,508,806,297,095,200,519,008,907,384,939,858,
611,729,384,617,400,895,527,336,370,941,508,863,216,488,471,864,162,786,643,
030,577,830,912,472,611,014,819,836,424,056,669,448,832,966,293,591,354,133,
320,886,193,475,975,265,457,510,019,413,731,063,916,788,770,373,218,768,849,
495,091,210,537,087,563,993,906,569,101,369,350,700,092,944,649,235,320,359,
811,279,389,043,606,621,296,872,485,675,672,979,466,810,875,602,352,702,967,
035,858,449,526,796,383,470,282,077,269,186,792,658,883,089,488,013,243,838,
452,624,197,614,854,940,431,704,495,983,783,464,148,103,494,129,923,497,236,
068,871,867,831,432,833,845,436,720,066,369,589,633,672,496,328,009,953,186,
246,144,845,185,319,581,051,142,967,324,976,785,290,541,129,995,507,727,133,
071,619,079,700,429,016,551,033,264,784,292,258,508,027,455,717,998,748,606,
002,647,363,843,396,509,764,114,622,612,231,768,274,435,429,234,615,329,840,
248,506,724,736,834,216,832,344,054,449,954,264,274,898,607,049,054,566,316,
558,466,472,617,593,357,751,083,705,974,256,531,435,097,302,833,803,160,621,
267,111,753,317,157,747,706,578,113,128,315,974,692,762,474,724,638,015,900,
563,353,975,648,027,290,811,541,155,506,854,324,772,281,832,052,387,636,385,
467,256,165,604,501,572,469,835,014,179,758,719,795,251,083,445,849,217,341,
639,951,898,809,892,049,557,506,861,207,355,740,335,951,041,477,428,485,897,
386,509,293,854,395,068,102,710,538,939,523,246,759,905,449,124,086,358,159,
910,123,634,463,405,605,334,175,794,077,593,384,592,889,027,548,343,242,013,
325,146,300,026,914,310,730,293,201,164,132,860,864,114,332,070,993,844,271,
533,147,012,028,359,431,368,366,083,744,193,985,290,433,634,354,684,678,275,
053,595,423,927,204,451,746,982,203,620,559,863,211,893,338,999,661,329,166,
726,802,272,415,805,603,471,805,492,095,940,123,980,843,568,512,258,193,631,
505,778,944,521,274,373,693,156,539,371,891,658,202,891,493,385,120,013,599,
228,122,488,308,890,115,386,499,524,035,036,040,931,162,781,166,778,928,268,
455,804,102,522,595,251,629,428,429,631,634,388,752,924,762,480,710,839,149,
207,393,582,248,828,696,136,654,230,800,125,639,689,476,490,998,450,172,679,
997,058,356,044,738,787,750,152,111,481,665,940,334,582,844,395,911,524,669,
927,975,059,129,311,447,787,727,871,341,409,847,418,398,008,330,536,191,823,
771,974,135,890,682,464,215,923,097,682,422,504,327,373,462,928,360,779,494,
395,286,558,347,990,237,186,706,928,159,566,582,468,322,464,181,922,495,701,
814,578,802,282,680,693,876,866,616,211,286,986,489,151,732,288,571,127,452,
882,140,507,629,144,999,625,882,411,636,041,632,680,043,165,190,516,022,884,
156,520,268,055,435,523,182,270,909,068,587,856,060,259,158,864,726,759,779,
555,896,230,171,447,365,449,799,784,039,985,898,911,720,781,467,057,424,858,
413,725,032,384,192,161,756,193,051,050,708,795,624,029,354,718,563,602,830,
725,411,505,767,891,166,538,488,845,852,719,019,903,103,865,208,140,838,317,
065,634,302,131,896,956,685,958,760,134,018,333,118,820,151,977,063,547,101,
905,412,613,279,334,341,465,243,255,928,621,652,606,935,223,546,057,518,986,
059,521,747,966,587,164,873,944,744,943,162,369,420,728,738,455,975,400,246,
749,878,334,076,394,221,113,102,958,538,663,120,742,345,660,143,511,587,562,
614,742,960,458,099,180,770,763,139,573,716,672,650,665,778,013,289,904,585,
529,352,674,121,530,410,048,924,013,880,541,630,636,884,263,675,145,398,491,
498,103,652,136,991,224,033,613,649,236,373,628,053,034,434,752,693,475,149,
584,628,327,560,970,279,407,603,431,244,144,215,655,549,632,826,979,776,423,
018,567,942,218,830,063,052,190,063,745,997,675,091,305,005,291,808,902,193,
953,671,338,897,276,789,743,068,814,116,990,117,865,286,959,819,753,572,471,
506,399,906,752,660,488,734,454,494,051,690,473,036,062,937,384,018,820,033,
140,314,662,220,551,992,993,834,975,625,818,187,436,118,680,545,551,602,674,
322,577,666,483,428,051,617,438,697,577,168,399,737,306,822,239,789,861,143,
770,667,862,950,960,405,916,682,450,205,063,571,811,808,054,917,176,533,744,
341,806,712,091,052,792,534,619,104,590,816,617,364,575,861,992,400,628,202,
691,119,320,697,196,192,982,185,768,169,538,896,218,427,562,815,572,798,882,
159,762,733,346,729,609,260,221,164,480,614,623,495,699,072,899,386,097,413,
775,625,076,826,955,999,262,653,655,390,402,704,255,595,114,902,912,144,132,
657,462,955,751,409,326,084,184,905,281,406,459,551,630,887,667,750,428,123,
875,112,499,055,459,709,131,350,103,110,255,953,507,173,131,449,073,672,592,
854,165,747,847,328,048,818,229,961,418,525,552,407,275,287,605,438,858,620,
847,611,231,979,616,772,217,190,418,835,689,455,113,117,892,302,788,816,469,
073,476,587,498,542,597,300,109,827,983,477,000,001,919,822,249,052,483,428,
471,373,623,713,593,848,480,315,308,548,001,376,531,897,349,011,921,412,755,
255,786,055,627,988,542,168,669,763,314,417,101,462,999,213,570,378,905,508,
327,958,392,336,237,837,503,300,856,337,429,718,727,631,594,617,973,772,715,
184,616,635,023,730,141,505,181,062,446,189,324,727,836,421,891,084,435,824,
307,738,530,948,500,734,608,719,728,131,125,628,994,744,032,228,008,028,224,
224,933,539,337,851,691,402,465,057,454,123,363,600,238,196,903,797,391,455,
707,253,544,729,426,686,195,762,379,108,460,709,928,623,286,799,519,460,148,
211,618,823,676,157,004,502,848,280,558,232,986,248,164,267,445,950,579,746,
475,936,395,195,044,201,601,006,399,663,998,938,326,244,995,046,829,066,483,
918,894,452,423,039,724,581,953,366,359,878,952,369,382,116,026,709,614,490,
852,072,565,999,697,717,112,761,753,590,829,866,372,846,307,204,310,892,000,
097,171,277,002,962,889,643,207,837,282,649,911,607,326,429,406,327,566,577,
313,819,588,068,704,382,500,220,662,751,728,735,200,060,523,074,464,394,034,
249,257,103,124,678,788,179,930,906,514,779,700,213,713,148,505,215,947,084,
216,432,630,237,420,681,286,220,112,589,566,115,359,347,536,316,675,604,822,
385,854,285,914,467,137,955,641,719,836,641,935,458,215,688,192,328,818,670,
597,875,125,952,055,303,016,847,522,543,933,927,928,938,668,184,692,623,609,
593,191,978,315,148,415,882,086,824,442,639,346,989,326,946,652,611,705,121,
848,890,768,642,381,424,462,952,332,050,736,103,805,892,224,476,868,736,850,
781,009,316,069,675,450,730,217,039,117,029,835,592,612,723,155,547,772,540,
416,688,165,971,247,302,867,549,800,173,381,818,573,819,904,221,519,073,041,
530,661,686,296,074,231,195,375,477,703,801,328,517,653,660,502,099,841,705,
228,013,418,474,948,175,173,620,498,245,529,594,192,280,968,135,470,480,667,
169,338,299,443,549,850,993,177,121,351,862,326,237,025,094,734,619,349,376,
486,528,636,881,185,104,852,542,735,806,860,170,605,167,190,490,956,889,509,
963,795,264,084,625,049,528,858,867,188,886,900,673,203,909,753,737,778,132,
507,438,414,615,870,458,183,302,865,119,543,861,587,781,171,055,040,506,860,
713,355,743,070,573,263,302,882,166,075,302,779,842,023,057,169,822,679,826,
645,689,257,744,174,608,465,295,067,375,567,546,640,457,444,681,930,283,620,
052,008,771,228,894,586,874,022,112,577,854,908,381,792,583,317,839,838,528,
003,779,718,281,596,926,935,008,097,646,838,767,713,400,319,413,877,298,216,
646,186,207,920,005,926,037,411,894,582,931,205,668,056,445,479,198,831,893,
089,357,010,689,434,494,617,405,406,276,326,621,636,080,124,754,982,434,140,
962,865,045,698,362,969,593,139,563,669,611,469,995,210,040,668,525,040,053,
832,019,761,890,245,646,013,095,273,372,367,990,054,092,186,008,369,876,667,
493,094,536,096,438,340,967,040,064,150,520,574,627,347,757,923,592,301,621,
374,044,315,224,767,071,706,567,625,841,214,614,029,736,435,099,293,733,048,
726,683,578,486,432,305,785,632,028,807,221,952,115,768,050,884,630,507,038,
937,279,187,579,381,681,808,190,384,645,627,127,761,514,354,810,170,544,648,
850,727,505,675,291,087,401,958,920,050,394,914,488,705,779,464,571,178,368,
768,831,327,070,347,009,722,671,952,107,891,430,966,778,844,622,722,653,942,
100,569,883,305,252,431,819,616,054,291,851,985,139,640,439,254,105,195,897,
950,851,660,518,372,243,510,824,705,211,830,547,280,640,341,332,931,516,164,
433,135,184,103,325,655,958,745,722,715,265,656,206,916,472,226,959,301,938,
902,619,711,004,021,301,950,049,748,538,285,010,307,348,506,300,464,909,664,
434,062,272,605,877,120,396,086,244,078,958,866,925,490,885,091,791,552,434,
314,323,591,939,920,241,432,150,230,616,189,673,733,141,149,749,390,583,589,
396,217,254,383,029,221,673,664,795,267,883,213,654,695,719,180,615,332,538,
135,888,095,060,953,698,891,303,227,123,267,606,227,516,882,211,676,700,628,
994,215,815,719,400,472,819,638,138,567,449,647,404,048,300,156,687,548,515,
534,310,092,482,115,015,872,193,700,999,027,829,957,635,367,861,209,497,384,
140,789,709,474,275,334,616,242,671,072,995,223,829,108,095,445,098,366,863,
563,446,060,797,755,199,477,147,571,858,675,225,398,172,594,464,631,027,442,
869,322,677,046,785,846,199,972,071,013,806,073,752,174,025,738,755,901,344,
657,545,628,742,240,250,585,285,138,716,157,972,247,355,112,670,027,667,694,
279,738,124,634,781,177,372,594,472,828,419,273,583,046,249,928,621,085,703,
775,473,169,194,323,808,524,830,821,613,793,241,543,105,400,186,352,227,683,
932,200,640,218,408,669,049,272,698,540,500,377,017,426,993,038,597,473,742,
583,328,348,234,463,255,841,945,391,137,655,512,058,939,500,136,332,864,738,
040,171,975,583,153,327,727,846,041,378,324,696,352,570,266,865,047,858,897,
344,075,359,231,961,980,803,047,697,023,971,520,882,959,181,873,672,649,906,
172,204,057,665,725,158,974,721,713,358,926,068,917,315,612,537,740,178,225,
006,187,967,111,827,345,960,789,470,065,605,080,344,457,897,532,292,959,608,
499,372,181,698,063,015,732,682,847,875,802,543,842,841,087,186,205,590,950,
828,115,847,312,504,862,594,924,239,388,032,917,814,835,739,676,990,918,524,
165,678,822,525,254,761,826,079,844,154,338,919,881,661,103,746,974,128,362,
821,232,562,025,319,239,395,154,579,447,811,880,573,335,725,940,901,261,819,
586,169,709,480,836,827,647,440,640,881,889,876,806,666,222,819,584,642,248,
092,554,392,730,924,956,957,280,247,810,400,871,987,642,059,447,452,752,200,
239,983,856,387,276,767,850,715,476,634,362,635,705,306,070,899,718,110,611,
441,038,023,525,052,018,211,138,143,688,059,051,353,112,928,473,518,388,577,
017,708,937,540,108,801,310,246,019,580,678,515,621,981,563,854,337,714,648,
988,478,292,247,344,246,463,109,070,249,116,589,494,779,776,841,662,527,793,
197,754,579,692,957,232,743,641,970,809,624,119,755,761,738,717,703,198,128,
598,075,556,224,776,481,277,933,334,710,779,100,597,701,006,508,200,656,971,
014,450,870,793,221,514,722,171,765,307,539,126,010,686,049,231,772,696,126,
252,563,793,863,116,302,119,885,558,342,951,121,463,934,004,108,833,034,585,
746,169,947,176,166,662,005,797,434,772,399,149,385,373,130,714,007,876,807,
126,902,156,067,479,586,284,637,958,028,786,258,736,194,847,255,243,205,104,
259,414,717,226,450,279,422,474,677,579,561,811,072,948,789,735,539,880,903,
837,508,870,199,052,518,967,164,871,230,206,470,192,962,261,436,750,926,203,
648,230,739,796,189,976,257,655,538,781,887,947,626,719,302,678,550,912,539,
750,544,826,302,026,130,558,349,940,915,648,245,589,389,616,308,574,978,004,
360,435,427,530,120,338,602,081,056,137,474,223,633,563,970,684,761,475,649,
677,536,464,840,881,642,778,097,273,741,031,986,290,358,342,399,124,456,325,
291,262,602,389,324,955,007,819,899,298,428,918,539,201,452,733,742,191,891,
887,758,685,830,758,262,418,952,130,475,135,248,243,530,935,071,967,294,960,
995,019,496,898,104,531,854,541,051,034,103,905,665,952,009,603,934,555,773,
081,054,573,293,092,386,677,358,567,131,634,819,318,010,010,005,716,455,324,
515,517,236,482,127,471,054,850,093,864,387,876,169,540,243,057,208,196,967,
996,143,086,225,323,825,539,543,433,346,913,244,353,856,701,034,699,913,046,
232,275,870,327,693,386,194,008,469,563,880,878,803,398,996,539,271,536,247,
358,905,880,181,028,495,361,090,767,722,176,004,378,227,468,307,308,961,163,
172,902,527,519,334,857,258,732,180,320,781,735,645,649,184,621,632,141,393,
064,541,018,279,662,924,395,841,838,929,255,753,093,767,762,394,413,976,553,
634,058,713,135,134,126,603,170,335,222,496,240,187,660,795,502,664,848,480,
759,724,025,277,108,624,485,453,840,588,164,887,899,450,289,386,460,666,752,
631,347,935,557,020,244,743,189,668,187,269,893,215,377,388,620,594,942,426,
196,033,059,444,848,659,809,871,101,892,509,321,038,737,894,932,542,919,608,
219,769,795,686,910,227,131,294,561,408,934,676,343,513,111,066,506,567,566,
982,203,395,548,988,452,147,677,535,917,571,343,092,947,889,700,642,240,898,
385,117,208,604,186,493,574,120,970,544,001,896,350,118,414,858,120,394,017,
827,797,321,576,971,961,513,227,296,432,308,572,327,034,509,597,688,619,296,
439,677,690,233,503,826,588,406,426,285,657,987,769,925,394,713,166,223,416,
610,515,975,832,938,321,100,506,654,058,092,438,029,937,836,548,721,464,181,
244,997,062,472,614,103,587,739,439,796,965,437,904,257,819,248,570,387,858,
962,516,685,998,430,583,339,451,055,052,504,253,550,449,985,413,232,295,682,
758,597,555,300,825,490,177,230,149,162,311,444,081,064,753,677,753,589,910,
240,899,835,146,580,813,356,233,490,076,042,883,633,898,262,656,931,948,131,
542,892,145,721,850,590,234,944,176,055,262,419,228,874,509,960,566,247,110,
957,891,656,688,008,703,444,695,681,723,293,632,492,209,924,107,558,040,773,
990,358,033,889,834,140,928,654,291,753,754,689,377,372,691,875,210,653,453,
380,704,636,171,555,664,231,881,312,060,558,962,521,697,601,525,595,279,551,
213,302,352,188,399,839,730,159,026,848,250,910,453,725,061,842,612,698,544,
594,731,061,165,248,945,927,003,886,272,378,492,323,326,627,917,855,994,610,
495,905,623,945,293,087,631,932,525,418,733,467,524,509,162,174,092,151,532,
089,859,374,423,548,484,120,853,445,236,720,823,569,717,799,162,804,845,091,
750,689,614,397,742,295,058,182,532,682,411,501,335,041,263,439,011,226,894,
793,091,085,604,395,189,447,462,875,119,900,456,211,926,690,469,183,646,418,
985,284,523,776,937,408,436,828,711,052,314,183,874,732,493,688,026,171,912,
060,061,791,600,353,010,913,015,393,063,226,017,544,170,473,642,390,309,350,
153,111,420,871,613,313,131,635,586,478,859,198,603,755,849,522,792,166,185,
706,756,510,950,018,280,097,969,867,969,783,106,864,987,440,642,578,383,330,
405,934,901,024,728,786,478,557,249,373,097,065,085,566,407,854,670,772,762,
393,493,657,500,700,861,733,467,182,899,162,090,612,770,021,448,728,286,844,
094,009,446,405,062,969,730,034,580,678,177,199,704,508,702,398,995,867,685,
865,810,608,343,452,101,708,334,072,063,219,082,225,466,717,054,824,586,732,
301,184,370,074,089,297,790,137,723,358,382,608,989,464,733,933,747,459,035,
673,500,063,374,175,356,456,446,828,457,263,202,617,501,832,453,651,387,302,
611,668,783,340,757,709,269,340,409,955,567,096,174,614,564,696,072,721,041,
095,905,473,701,492,182,657,043,074,192,443,424,958,349,660,013,516,645,883,
722,991,476,486,114,545,538,951,608,995,426,979,782,402,397,695,994,442,274,
062,402,030,121,577,119,909,283,570,687,050,297,023,818,255,762,365,221,980,
719,619,490,097,442,472,545,781,195,757,405,157,859,291,407,021,475,872,256,
285,033,750,939,703,493,911,222,246,202,922,949,610,018,866,995,462,917,927,
312,503,986,104,047,594,444,948,192,521,338,896,973,334,479,908,377,028,078,
072,864,225,650,115,175,916,332,925,990,118,513,953,469,287,329,800,940,616,
008,305,835,013,010,919,635,138,869,854,043,057,257,200,823,047,879,245,277,
156,246,081,057,460,339,872,350,339,719,441,021,522,684,698,960,006,120,759,
266,509,739,067,894,725,184,549,060,343,146,230,300,705,218,567,775,819,200,
567,097,943,843,171,908,496,282,126,174,649,531,720,556,987,994,264,192,095,
879,179,087,192,850,667,205,645,814,405,675,685,093,277,830,835,679,376,477,
075,307,386,946,691,799,864,119,512,275,475,236,036,715,146,412,051,971,149,
527,388,685,578,618,051,428,503,984,828,485,291,823,996,907,395,681,480,305,
347,201,544,112,970,545,197,791,585,672,513,531,620,960,921,865,012,007,140,
225,371,347,786,878,255,024,942,489,673,226,786,718,234,168,728,450,118,996,
266,807,634,058,206,623,283,642,897,914,298,209,174,795,846,370,875,363,687,
493,501,413,909,984,397,582,171,478,588,611,208,077,333,946,099,016,318,519,
768,685,083,321,000,968,681,235,191,685,112,900,904,164,022,810,342,862,507,
733,341,776,860,754,897,855,667,773,782,091,687,282,905,297,969,542,717,867,
808,340,640,680,664,908,787,849,874,780,453,583,849,445,721,176,311,328,811,
659,348,981,710,861,766,331,802,882,911,022,267,953,891,512,308,085,244,340,
320,671,748,068,777,049,236,816,029,820,453,227,994,761,473,555,365,442,632,
066,805,819,672,325,171,894,258,321,279,376,921,368,442,624,081,162,367,013,
925,177,831,008,302,871,386,108,476,351,119,945,805,035,661,416,830,762,790,
425,451,914,190,267,966,576,664,431,894,876,593,463,008,367,888,047,815,332,
873,520,784,984,060,089,582,885,160,941,247,972,683,315,960,319,953,824,539,
920,737,191,030,057,783,671,926,241,328,602,305,350,822,329,786,487,363,036,
319,869,147,980,140,981,822,008,781,738,058,843,433,857,740,624,432,646,166,
274,359,342,657,003,645,881,885,226,437,210,718,618,949,298,302,282,751,950,
013,462,735,971,486,325,583,044,770,303,849,219,929,353,481,166,815,095,091,
138,777,914,256,428,381,448,514,194,287,720,465,406,375,979,790,372,456,126,
067,679,980,281,174,870,048,564,311,098,274,847,618,667,606,921,877,759,629,
352,821,182,870,463,073,668,866,780,388,017,971,654,662,515,862,181,665,053,
866,257,454,872,045,792,584,220,222,644,188,802,888,577,686,530,714,579,785,
788,597,331,915,374,433,887,745,789,124,794,398,779,703,018,713,569,578,117,
677,960,878,233,724,752,880,613,525,870,465,540,531,960,294,050,722,070,642,
789,607,703,054,912,888,407,609,587,065,683,156,760,250,362,937,207,833,522,
720,087,324,134,889,272,847,871,423,945,249,024,300,183,429,595,636,900,073,
352,373,111,605,440,012,353,018,824,271,448,188,016,311,259,654,448,929,162,
630,871,040,467,501,836,580,148,612,487,582,826,950,656,968,707,475,223,659,
603,808,350,058,643,226,709,481,820,576,974,544,833,239,870,683,479,876,220,
165,515,121,481,021,158,169,915,733,899,548,792,516,794,036,928,424,498,727,
135,365,283,410,327,079,826,236,149,781,659,005,211,511,818,638,379,238,683,
152,333,849,675,003,901,032,044,054,242,839,647,434,844,150,122,989,130,304,
384,345,318,846,858,258,895,157,172,674,514,129,427,518,754,465,186,222,240,
139,922,233,299,255,947,652,832,510,426,159,736,183,066,192,183,891,619,401,
511,744,887,569,894,724,831,079,893,451,087,939,423,541,379,456,956,356,955,
029,061,962,898,440,824,359,071,343,293,497,612,801,100,465,436,867,666,126,
984,502,781,963,988,202,818,626,027,371,468,219,728,038,988,270,229,979,135,
811,052,000,849,805,957,726,757,507,295,644,883,473,319,114,158,362,847,919,
565,570,900,155,546,393,837,292,122,128,664,077,249,191,762,403,294,161,370,
553,615,423,930,094,544,716,872,621,007,688,457,800,710,857,675,937,535,327,
748,052,090,341,336,419,270,557,185,005,639,213,079,675,153,286,310,215,010,
661,824,414,453,745,178,861,732,476,311,350,975,385,408,364,482,844,393,275,
107,869,422,091,588,475,291,081,201,237,052,390,050,021,228,197,149,836,086,
231,371,676,309,275,713,608,291,868,529,192,563,071,737,285,162,943,388,237,
353,176,062,099,901,880,213,121,321,399,496,244,813,171,739,705,311,629,269,
782,351,025,613,410,994,692,956,530,912,549,358,964,977,668,051,063,171,657,
728,184,428,470,210,500,484,252,388,301,767,939,968,697,562,499,759,215,519,
546,629,425,289,499,368,203,834,875,174,953,057,869,097,374,025,833,431,571,
639,533,266,190,539,642,954,597,976,464,199,830,291,035,061,812,054,329,483,
919,392,513,504,479,072,093,762,853,922,926,986,195,201,580,199,218,545,778,
530,985,498,281,084,491,429,657,052,163,158,453,735,875,872,386,858,448,404,
482,768,567,660,279,280,661,817,284,361,733,086,838,274,485,692,396,218,900,
185,067,915,720,640,390,423,636,802,506,280,903,694,927,211,606,745,618,866,
618,817,634,823,618,314,714,506,454,382,135,586,198,913,566,439,958,911,399,
081,290,213,008,649,916,529,397,764,923,301,500,106,298,528,888,920,559,657,
949,020,492,505,459,527,353,268,804,497,159,669,297,023,546,152,324,580,689,
888,737,154,972,476,894,067,862,411,789,680,978,081,699,201,086,693,389,269,
462,921,069,851,909,202,594,120,707,137,584,588,046,473,184,294,981,627,868,
406,158,690,831,656,306,867,707,987,923,521,724,799,055,700,723,432,818,697,
261,528,975,905,442,218,007,334,292,225,990,063,148,149,045,902,286,858,639,
606,877,687,669,561,818,752,030,070,906,107,506,404,492,403,010,666,467,941,
822,287,429,549,284,595,894,073,163,907,516,859,306,106,346,719,024,955,344,
924,039,427,757,980,991,662,146,636,265,361,921,211,518,821,095,723,143,338,
757,845,437,624,422,134,262,393,861,219,752,727,089,168,012,887,423,415,891,
931,030,927,330,865,436,886,183,172,192,595,045,902,779,083,657,067,431,521,
120,211,708,621,717,849,954,517,440,624,418,359,272,286,305,009,624,701,881,
365,227,911,899,026,345,110,508,983,965,042,392,440,784,929,623,840,067,159,
770,121,098,760,198,941,158,127,442,093,970,337,336,979,256,215,267,118,732,
343,175,197,723,950,006,332,243,167,347,214,292,382,165,091,094,329,507,683,
409,146,705,934,627,387,093,960,070,836,961,542,567,242,792,027,182,848,370,
832,357,711,843,337,896,873,274,708,148,826,249,125,692,928,924,434,160,895,
393,445,982,087,666,902,104,764,764,121,375,873,407,152,869,066,944,280,001,
990,172,798,297,284,579,643,950,767,905,830,133,055,627,434,241,320,329,746,
139,712,256,134,451,836,696,426,690,949,254,107,731,895,992,363,491,641,846,
399,347,646,995,221,692,329,583,099,143,428,347,413,217,125,550,004,037,697,
147,076,313,644,578,452,699,839,661,013,583,732,258,794,240,344,139,315,312,
138,797,651,950,293,005,560,899,217,093,353,519,139,406,213,488,003,991,632,
376,693,784,907,032,578,285,136,096,207,153,957,795,054,444,413,985,913,476,
642,933,312,312,255,270,562,213,139,245,836,174,979,802,072,108,697,761,773,
929,067,925,897,158,358,175,245,636,121,343,708,858,003,980,265,423,036,833,
713,264,239,026,399,835,678,392,414,716,959,861,440,565,112,748,690,451,578,
105,200,178,001,541,308,060,502,479,289,253,395,887,702,758,528,243,877,998,
850,196,314,156,528,338,429,307,540,418,854,656,809,154,694,395,492,706,368,
757,612,551,727,467,619,391,647,049,716,798,178,307,535,674,211,527,206,507,
034,280,880,301,637,716,256,103,940,737,754,621,185,265,699,403,112,521,852,
781,684,362,936,709,003,029,667,013,559,937,149,872,787,702,341,850,911,713,
660,938,717,979,309,559,016,769,705,572,507,348,627,277,878,272,351,862,380,
007,966,648,031,702,618,811,328,368,185,412,739,651,130,943,531,582,522,927,
314,450,408,043,362,795,530,713,942,085,332,544,142,154,723,122,767,921,886,
042,964,645,990,812,397,086,959,667,599,684,140,885,932,766,953,082,313,319,
873,379,028,678,643,187,272,192,482,214,502,752,296,947,662,435,667,301,939,
687,482,356,304,004,943,545,953,864,128,359,634,970,009,535,933,746,243,337,
565,028,438,696,220,881,862,282,658,594,214,587,347,787,396,029,840,318,954,
595,832,027,896,097,249,463,192,127,278,245,020,844,372,376,685,955,710,703,
492,545,202,882,013,687,961,379,388,380,679,510,266,666,645,220,097,192,860,
223,746,644,930,081,349,927,819,901,761,711,745,720,414,490,595,038,985,227,
877,279,859,806,197,653,387,259,688,287,610,424,526,184,133,151,816,106,887,
435,271,362,979,379,685,766,691,635,252,612,622,391,379,264,671,934,085,722,
270,032,956,717,232,649,754,394,012,823,766,960,096,889,509,757,282,244,513,
559,305,518,020,346,165,299,235,506,855,171,450,355,611,478,471,786,589,039,
053,380,981,646,501,515,991,759,835,440,327,418,287,256,822,556,513,894,371,
001,647,873,692,461,912,114,967,097,174,233,565,198,156,946,310,565,195,128,
863,261,377,878,850,670,970,037,283,011,554,867,248,752,686,326,809,286,856,
002,456,142,064,698,441,945,692,583,183,485,227,505,933,585,689,001,926,085,
922,452,646,013,961,389,618,151,685,507,552,591,739,347,998,771,494,334,699,
292,367,830,915,451,950,762,447,257,622,977,780,755,190,341,649,094,137,101,
459,188,645,257,136,024,010,108,692,785,912,182,258,782,683,169,090,259,805,
364,203,098,670,144,037,104,970,996,628,686,826,399,696,334,226,540,197,955,
963,998,563,316,295,951,424,973,033,602,657,332,906,370,698,421,504,745,758,
641,253,000,273,877,206,313,675,443,334,889,290,880,793,083,803,655,545,570,
877,570,646,686,218,628,911,958,575,054,028,958,887,654,112,104,313,109,188,
858,797,925,388,613,152,569,715,036,997,033,845,651,882,717,375,417,380,341,
947,812,690,019,318,544,213,084,003,768,996,530,090,308,596,741,409,164,316,
586,283,140,861,274,460,063,755,564,593,165,780,440,450,251,500,275,515,767,
345,348,480,876,508,389,228,901,834,576,489,662,279,148,265,386,127,388,762,
270,413,844,952,757,742,271,121,980,618,003,769,431,567,311,051,888,411,077,
640,482,786,662,549,084,336,589,798,580,166,755,100,447,844,923,040,176,632,
003,308,292,471,185,437,005,674,324,700,370,924,901,069,437,655,850,389,629,
201,350,719,364,038,121,545,742,678,254,024,944,390,227,359,924,339,383,062,
750,691,006,865,938,719,185,146,702,684,102,577,366,557,449,318,460,681,737,
908,326,776,934,508,116,521,986,752,165,407,345,832,647,189,011,972,688,135,
012,037,136,880,082,375,440,393,211,162,126,443,561,013,785,648,436,432,745,
318,765,493,180,017,927,584,310,760,863,241,147,780,598,553,867,590,413,385,
986,187,538,760,328,507,291,557,348,736,919,320,849,058,567,408,172,285,308,
354,836,327,038,441,307,346,955,484,960,595,941,675,827,527,023,682,142,764,
839,626,607,216,488,053,015,999,165,040,887,618,835,471,077,166,967,130,161,
372,158,151,077,868,630,931,850,363,155,077,075,347,255,584,302,290,371,270,
465,973,434,226,460,099,242,761,262,998,586,041,172,539,681,146,067,614,799,
903,691,563,705,622,808,321,846,369,740,347,624,204,404,239,635,507,780,791,
494,289,250,769,653,536,697,076,663,012,671,982,530,082,201,684,952,196,642,
360,858,507,367,401,472,221,578,633,341,821,441,933,693,440,556,857,564,754,
242,286,905,776,165,363,003,081,671,064,140,443,359,439,905,413,899,729,657,
746,572,911,357,344,373,067,671,075,509,130,865,546,491,171,614,429,622,462,
634,812,563,973,878,817,605,456,978,655,933,938,195,696,733,909,610,208,520,
229,759,052,112,691,188,593,859,290,575,183,282,252,249,090,479,423,414,021,
072,134,613,871,940,670,587,750,715,980,034,364,094,272,161,918,581,658,146,
586,127,262,132,614,213,239,484,665,707,479,547,943,156,860,001,231,842,283,
853,479,802,909,688,394,892,092,226,915,965,060,815,356,067,252,347,955,655,
286,709,857,631,421,025,169,067,444,939,868,524,751,655,289,983,964,209,108,
312,059,537,392,381,188,685,873,528,124,502,055,292,629,543,611,742,928,214,
115,147,342,239,000,863,450,480,430,429,476,390,748,918,370,113,665,803,694,
501,504,296,375,190,248,790,100,814,506,637,340,243,718,678,284,850,589,942,
728,018,158,976,346,569,500,208,282,008,280,099,967,472,753,067,649,472,921,
508,659,174,978,689,766,266,185,186,237,417,295,314,279,487,197,261,937,198,
704,015,610,067,771,679,469,693,053,974,886,175,742,120,015,500,494,955,095,
576,968,278,639,104,714,956,388,415,987,482,191,746,673,908,282,781,254,921,
387,835,704,770,866,554,221,847,353,486,799,798,156,635,090,752,084,655,137,
715,281,958,881,181,775,613,714,152,390,266,719,418,458,209,968,444,558,771,
342,699,462,977,724,756,116,889,629,920,797,028,528,960,377,901,892,410,053,
869,782,176,572,237,951,658,997,724,490,500,515,168,373,185,574,723,272,357,
980,644,761,961,665,866,068,942,895,641,638,919,075,152,628,883,876,901,371,
798,477,370,209,287,983,782,228,632,857,241,714,458,274,443,678,145,280,232,
249,812,067,956,005,538,540,724,861,471,987,412,129,977,632,218,022,550,248,
142,683,689,567,994,623,205,020,899,384,225,728,601,291,024,512,615,663,389,
067,159,052,724,460,494,633,983,454,843,775,953,302,692,403,860,331,676,272,
699,832,529,251,171,097,032,800,874,954,940,629,535,597,403,777,518,348,123,
474,548,870,812,267,577,477,656,267,741,886,414,251,066,026,887,422,504,795,
069,538,027,714,302,441,394,982,834,419,735,016,087,974,775,749,929,969,547,
613,424,368,806,494,275,409,970,858,233,108,357,080,628,150,389,581,907,765,
158,724,063,413,276,972,585,713,194,269,157,213,780,494,249,019,724,086,853,
086,315,047,138,491,209,992,553,069,311,649,610,816,418,589,543,556,781,474,
272,517,139,951,817,645,006,934,156,951,313,152,982,158,645,250,718,116,310,
252,071,727,233,118,534,499,482,614,173,056,014,305,415,955,666,590,755,132,
356,387,576,242,425,412,667,250,717,372,590,483,266,558,260,043,026,922,324,
670,084,395,861,609,501,282,512,745,584,035,457,486,024,852,074,191,412,169,
431,367,786,575,539,031,181,750,361,461,928,781,833,018,695,939,903,097,821,
151,299,920,831,030,163,167,693,141,068,536,734,898,285,640,506,058,045,217,
015,905,186,450,822,170,196,816,878,894,369,368,262,815,565,606,024,603,457,
680,078,274,664,501,665,872,121,377,845,304,491,119,927,849,574,112,840,403,
167,597,759,858,435,865,276,971,260,056,897,579,308,446,186,813,703,897,284,
635,470,410,834,433,082,248,148,516,030,416,275,414,121,933,086,111,370,019,
513,274,035,532,158,626,629,792,775,252,276,304,586,226,278,920,068,203,467,
795,565,049,656,071,760,476,157,607,187,432,862,613,554,985,497,883,993,320,
481,238,933,001,018,340,050,831,388,706,528,651,542,832,267,167,018,260,035,
049,017,123,107,969,085,507,316,926,293,540,464,912,089,346,681,769,584,513,
313,478,852,366,939,479,130,392,479,073,981,774,039,975,397,749,824,404,051,
383,836,255,716,635,304,150,227,802,044,015,130,858,595,505,011,369,829,649,
213,714,665,378,635,759,894,138,919,798,876,805,257,716,084,641,434,314,795,
125,326,304,778,197,439,557,683,323,683,592,982,807,542,579,756,321,120,003,
808,677,996,427,862,894,600,118,190,907,099,996,329,101,320,648,154,292,789,
896,483,173,939,288,425,774,741,636,320,112,539,296,019,749,551,713,059,461,
968,001,081,487,501,683,040,612,258,410,011,774,580,998,985,482,508,072,185,
793,849,384,581,707,464,844,422,072,974,549,015,098,174,044,999,929,808,909,
133,513,994,845,436,408,410,449,298,456,337,365,885,705,821,811,006,275,635,
807,074,156,048,130,420,388,669,542,166,182,725,742,544,326,821,153,001,282,
424,584,413,493,309,306,467,201,300,826,529,702,652,419,171,661,630,383,137,
121,299,695,387,063,402,159,634,815,166,204,674,614,234,755,907,890,861,224,
064,130,913,192,223,650,502,681,825,046,500,544,630,680,537,786,660,135,415,
004,760,794,172,356,180,629,561,917,258,543,786,889,070,482,258,313,913,430,
903,363,688,208,891,528,649,381,809,028,917,332,716,349,931,699,290,316,017,
472,466,174,613,303,908,731,081,927,999,666,114,149,220,389,646,099,001,955,
774,623,529,200,161,346,307,161,033,533,966,967,495,954,421,624,226,832,743,
987,613,076,076,546,161,879,908,844,366,816,526,437,779,186,522,023,820,540,
828,926,928,944,975,651,890,439,728,788,368,777,872,368,850,958,864,128,831,
426,743,625,175,100,236,892,078,381,337,964,033,064,989,332,169,359,504,496,
608,322,667,518,511,813,640,833,253,966,699,123,754,806,203,101,081,167,733,
986,408,774,312,569,284,004,015,130,955,019,980,618,458,887,529,087,857,566,
405,673,915,925,895,706,601,778,153,385,468,127,910,005,115,795,546,104,688,
779,619,811,482,326,128,674,390,982,700,626,501,587,043,966,434,638,196,075,
256,827,772,421,286,602,884,400,022,798,650,613,269,254,257,656,436,874,986,
404,441,817,583,125,839,593,031,219,415,340,779,951,891,577,955,332,763,456,
059,097,857,367,112,856,868,815,020,492,820,630,974,488,007,189,512,658,517,
630,209,336,097,146,062,853,104,292,127,724,545,850,980,409,741,666,465,343,
683,127,744,560,591,840,662,513,862,826,729,689,730,637,124,897,618,332,647,
694,294,142,832,566,115,045,807,423,990,776,919,962,025,423,805,924,472,404,
725,248,711,320,431,767,595,304,887,539,878,649,983,512,682,877,007,392,357,
406,739,928,362,352,900,331,429,453,284,612,027,394,247,312,686,502,616,586,
743,589,186,617,526,465,257,745,874,450,411,867,126,737,956,577,257,671,874,
762,682,971,467,886,343,473,364,061,545,116,249,600,782,420,636,726,735,538,
875,784,822,338,077,491,468,431,610,084,839,087,476,045,276,212,322,581,729,
347,503,039,523,001,216,292,384,255,606,169,777,507,727,291,883,775,613,451,
914,789,174,524,897,029,727,801,873,867,607,383,172,367,101,449,472,809,867,
190,163,688,809,411,275,709,359,391,229,081,185,167,424,523,522,027,228,868,
266,670,394,351,097,353,497,232,554,094,405,809,687,690,970,932,299,684,018,
147,174,366,660,132,670,044,707,396,521,534,142,627,772,021,838,468,231,901,
460,560,984,791,836,246,395,857,609,946,834,078,478,851,705,623,430,586,541,
287,326,686,597,795,459,471,484,727,417,678,574,458,594,999,217,533,644,591,
858,323,254,363,049,136,804,236,470,478,043,612,248,794,578,651,914,540,394,
675,750,584,396,866,785,001,683,289,450,615,477,537,611,469,840,975,249,431,
669,228,595,784,523,777,222,486,723,387,838,924,025,408,069,796,398,422,696,
877,908,484,002,601,142,461,594,514,789,821,146,050,365,375,391,917,814,276,
777,741,343,831,059,465,594,408,478,819,044,991,654,945,162,275,186,559,483,
969,318,213,256,852,872,460,352,280,644,854,248,999,970,811,389,363,279,723,
605,708,543,886,370,838,084,430,684,559,905,743,767,154,825,145,572,610,673,
144,622,081,988,824,847,876,173,521,773,455,443,445,426,421,604,229,893,998,
009,154,728,251,088,272,821,965,796,304,014,191,492,250,878,832,075,006,229,
598,714,014,230,896,693,140,328,725,653,405,417,153,229,322,739,953,982,802,
097,722,170,004,546,449,015,589,922,411,460,058,318,869,147,134,375,157,881,
155,251,302,091,315,166,793,052,537,036,400,206,921,031,510,438,818,481,033,
113,683,688,461,682,182,731,268,697,566,765,621,383,354,543,394,970,612,787,
016,045,088,039,471,774,560,645,068,540,128,779,796,671,087,295,522,518,902,
321,235,528,026,993,333,534,559,688,866,379,768,554,676,064,577,507,332,159,
982,793,097,369,287,502,796,616,215,390,071,369,026,010,907,591,318,934,220,
147,313,148,906,833,068,259,729,004,055,744,605,618,381,228,538,064,885,284,
679,374,929,117,347,062,033,580,023,768,983,539,528,049,806,235,384,872,966,
711,329,408,547,995,959,792,976,938,196,613,543,079,547,419,593,763,248,355,
333,904,501,235,040,551,855,489,599,117,649,064,879,656,349,503,308,536,522,
514,356,011,482,033,274,706,992,023,626,086,763,158,670,299,941,379,236,752,
311,125,678,128,931,923,941,060,344,478,213,165,181,924,701,204,245,484,316,
478,443,969,301,073,897,691,359,620,231,510,550,970,839,831,367,477,891,047,
008,095,836,514,542,256,669,129,253,754,248,175,275,876,971,673,177,965,613,
498,364,405,043,820,454,234,562,123,520,244,536,709,526,997,599,776,765,307,
254,584,127,904,387,677,186,170,776,186,724,620,147,635,573,321,009,924,940,
416,061,232,963,195,042,823,619,489,073,478,691,947,198,126,365,063,154,893,
561,102,991,897,300,157,652,705,422,222,465,286,108,489,016,227,240,351,358,
626,934,122,514,740,766,034,541,208,261,546,306,547,361,694,915,292,942,034,
417,209,800,310,925,472,233,557,829,106,802,189,060,869,435,020,820,796,739,
745,357,498,179,230,142,801,174,590,091,743,956,853,105,559,820,677,767,168,
332,626,434,416,607,253,687,129,958,034,362,004,474,926,838,022,599,087,958,
698,064,738,358,012,885,732,530,673,028,198,620,497,017,694,570,017,233,539,
936,082,799,463,954,424,747,016,779,840,169,258,901,600,035,516,964,357,386,
248,000,117,729,848,113,483,212,649,790,589,900,006,605,189,470,616,919,632,
571,873,452,318,554,156,305,462,492,038,913,367,157,821,315,425,222,737,292,
737,639,577,949,976,957,621,640,785,595,261,278,549,359,213,656,793,115,658,
169,076,115,723,910,795,896,557,012,653,410,493,302,384,439,086,057,188,799,
324,643,734,338,605,173,480,615,170,492,559,911,135,928,698,838,164,268,639,
149,056,679,663,476,810,264,483,265,406,252,494,139,149,730,125,363,090,876,
142,436,312,258,622,880,344,695,925,105,323,144,665,892,275,754,885,905,132,
076,139,741,648,715,591,893,025,114,700,590,615,215,183,669,042,498,054,901,
197,347,347,138,483,182,237,696,874,253,780,182,649,272,696,529,740,010,197,
867,914,487,006,500,500,433,153,553,641,706,830,983,722,741,100,112,439,729,
850,837,759,530,177,522,230,568,979,324,362,932,100,432,318,061,266,073,882,
808,858,543,787,050,955,279,826,340,350,382,841,547,542,504,144,641,471,741,
787,073,445,330,034,029,726,785,082,602,544,236,249,470,038,491,332,517,133,
688,203,911,853,864,860,215,482,975,230,881,835,946,533,338,610,797,420,144,
924,006,459,155,277,845,636,808,724,351,167,346,400,463,232,533,845,071,208,
844,318,932,447,344,408,174,029,606,558,692,581,992,769,510,849,032,659,329,
702,976,840,103,121,318,569,177,665,679,789,250,191,436,144,656,075,994,351,
531,190,971,194,425,603,211,995,761,182,932,171,933,923,906,823,589,630,165,
072,857,388,878,373,374,272,091,615,793,393,611,556,117,669,048,360,718,477,
337,292,615,215,063,275,066,840,073,445,139,067,797,276,046,749,778,956,641,
048,552,023,343,064,382,030,234,557,015,001,219,816,335,459,772,120,890,339,
038,922,298,132,541,482,867,567,398,361,053,314,956,823,241,322,011,276,800,
550,063,745,664,835,260,831,589,287,352,439,572,854,861,818,056,309,628,633,
138,310,830,130,347,828,399,208,409,861,348,759,058,667,558,866,972,071,847,
735,776,391,085,763,405,369,017,509,602,785,362,232,480,068,333,408,910,846,
226,767,729,079,048,976,748,656,631,900,406,992,651,466,718,764,508,312,183,
490,911,194,935,514,872,331,053,999,199,731,494,237,127,960,455,482,301,952,
407,478,836,949,146,575,280,366,321,699,612,821,028,181,121,169,283,541,240,
358,467,333,753,972,660,432,801,074,175,473,824,357,433,428,113,445,424,555,
471,777,619,276,371,835,220,230,675,473,076,251,565,475,590,512,215,802,155,
186,276,516,189,290,847,870,407,117,302,787,982,404,771,063,787,986,501,676,
831,638,218,358,281,324,511,761,833,995,652,417,777,815,243,254,538,819,130,
331,224,749,543,803,594,273,320,617,336,211,805,987,343,667,059,886,261,951,
023,703,767,999,474,612,785,479,305,041,640,872,114,709,338,627,798,258,622,
566,659,703,686,929,077,232,409,363,559,193,830,266,615,193,914,079,095,136,
339,106,297,918,070,015,461,940,511,058,335,718,899,846,629,324,398,023,711,
953,459,325,292,755,353,510,677,372,166,003,499,001,756,900,165,660,686,653,
902,625,539,240,976,279,082,076,319,463,399,153,618,164,653,210,376,409,433,
053,826,198,160,236,243,107,223,279,934,189,940,375,509,844,700,941,307,699,
939,521,580,985,769,663,819,430,951,629,682,169,153,092,096,162,666,582,931,
838,298,685,505,756,641,152,387,278,050,340,204,099,009,283,021,516,508,628,
574,939,740,976,752,423,075,340,044,750,992,243,911,228,464,966,717,556,275,
183,244,261,676,404,111,386,350,016,592,431,675,205,389,684,587,380,068,679,
427,935,905,628,673,300,741,417,102,680,492,987,950,634,181,864,675,417,097,
856,132,997,143,418,261,179,336,758,533,555,500,227,190,047,504,381,201,716,
768,604,683,699,226,074,440,880,616,307,816,364,508,781,591,974,591,982,892,
253,243,706,506,766,897,214,057,952,766,702,535,399,579,261,938,090,159,519,
660,272,913,753,702,045,181,802,037,603,945,226,398,908,819,861,156,949,727,
678,922,760,065,956,488,436,097,181,235,326,585,671,041,974,114,535,416,409,
294,208,799,025,474,346,674,938,302,172,960,340,018,353,841,800,086,814,642,
597,555,348,243,540,718,134,263,202,312,966,500,647,716,187,218,073,784,265,
162,460,727,747,553,093,627,927,088,952,607,957,613,660,873,141,624,812,423,
141,355,828,171,734,413,991,289,840,862,132,252,925,722,964,809,455,868,851,
797,902,961,573,863,289,959,629,120,727,545,224,268,998,039,697,478,353,685,
512,808,685,953,064,269,614,101,959,906,834,671,471,291,230,001,048,357,240,
055,681,186,344,654,884,324,693,175,421,693,385,110,452,989,984,683,693,537,
752,128,706,616,349,460,609,958,758,161,468,522,292,591,408,656,212,908,325,
781,238,505,590,301,611,035,939,247,339,797,924,401,370,781,657,893,579,481,
970,236,036,652,287,635,278,508,258,397,166,366,315,160,198,529,243,041,295,
432,117,253,689,854,282,177,178,776,241,622,149,479,871,924,414,499,943,818,
816,131,152,381,714,840,710,005,034,694,319,880,587,652,017,746,526,945,669,
520,813,023,270,335,092,515,474,091,103,803,328,186,755,052,702,039,891,524,
701,234,753,623,509,167,999,611,376,542,157,501,895,001,763,470,868,885,033,
659,829,080,352,293,815,948,364,791,787,794,634,941,186,117,967,481,049,376,
832,307,352,734,810,896,379,171,792,930,785,245,123,577,012,182,318,067,793,
677,561,138,956,305,168,551,575,352,491,751,925,755,332,208,884,586,846,161,
438,269,973,452,873,203,015,930,860,682,892,341,579,931,983,107,755,796,147,
310,972,935,436,149,614,666,572,700,192,245,233,599,832,237,176,952,537,079,
921,071,192,787,328,642,737,941,917,229,053,091,206,174,457,777,117,241,020,
847,263,117,949,786,078,822,024,635,745,516,923,135,431,544,167,119,045,653,
164,087,692,165,967,274,297,736,913,651,324,930,614,426,866,907,096,824,932,
531,140,892,449,521,811,135,610,303,203,256,796,956,456,600,794,567,395,875,
839,716,818,659,560,247,940,917,224,219,370,451,881,297,698,737,401,112,462,
533,332,668,546,546,718,384,801,904,102,169,224,197,259,908,049,062,552,650,
782,998,649,391,349,893,648,836,579,348,605,767,797,508,785,785,878,260,643,
010,427,553,402,187,290,038,078,949,421,209,684,182,432,729,065,726,197,408,
846,049,341,491,601,252,326,398,986,932,185,871,627,180,007,869,163,446,410,
516,486,875,288,609,298,029,143,798,975,167,270,414,344,851,013,785,066,759,
953,792,974,709,177,732,642,545,459,773,620,175,938,186,141,599,097,204,198,
790,461,622,411,927,622,157,344,275,807,991,962,401,525,503,085,227,891,175,
275,957,813,656,058,858,599,454,136,604,728,369,624,407,607,290,737,975,460,
521,237,818,586,256,195,578,286,405,538,191,195,498,218,903,276,085,170,602,
283,235,465,442,907,137,580,822,582,638,822,884,830,835,956,660,283,386,110,
929,411,069,610,069,182,470,926,215,365,340,667,104,040,046,720,142,713,783,
592,222,621,379,356,901,099,180,266,507,054,292,392,718,550,960,434,995,824,
578,337,045,427,263,880,101,402,253,376,783,365,872,602,276,120,648,517,874,
318,085,587,055,936,066,645,090,894,435,145,342,983,275,571,607,210,047,214,
179,659,438,871,879,949,524,633,950,785,284,201,043,263,316,927,591,055,975,
649,973,280,722,569,428,754,938,152,056,728,292,735,267,055,351,059,659,986,
932,838,925,743,360,849,371,150,848,515,621,066,316,781,850,141,494,036,668,
591,194,744,944,204,915,083,538,606,871,588,155,500,018,097,450,570,671,323,
510,084,235,694,749,823,257,802,963,664,905,892,664,122,440,719,890,059,668,
815,882,701,489,823,338,737,631,076,114,232,453,908,045,315,018,973,577,049,
556,229,092,082,988,161,529,835,699,787,374,174,408,387,259,346,255,742,420,
100,716,854,590,828,082,558,220,356,979,350,113,717,028,785,257,351,251,683,
581,097,739,444,117,967,374,526,012,210,313,072,093,035,381,042,354,952,460,
058,722,373,194,506,602,259,512,016,986,780,380,749,044,325,482,023,267,603,
731,727,126,103,050,759,412,539,335,730,823,339,666,769,563,889,194,378,298,
208,796,272,974,705,985,445,459,496,538,101,737,569,014,466,163,545,142,429,
252,206,908,913,347,812,889,313,018,264,021,626,336,978,814,037,671,972,086,
751,363,013,554,917,648,174,025,427,058,269,886,175,190,333,089,384,359,034,
061,665,099,634,448,700,850,851,672,562,679,616,885,878,618,642,724,195,119,
477,301,441,064,950,642,337,204,016,516,724,276,674,845,759,978,613,661,942,
333,165,503,715,733,615,149,673,728,688,591,923,586,852,437,555,977,663,789,
386,995,654,025,326,181,670,330,644,676,927,896,065,248,420,471,266,587,131,
083,597,774,290,802,001,384,774,906,253,780,197,459,815,537,684,426,633,878,
507,010,351,140,750,511,065,968,285,789,902,732,438,127,769,245,123,945,708,
203,821,389,467,029,040,928,685,617,996,775,093,558,763,505,997,714,041,631,
978,263,063,942,365,561,447,929,550,224,201,528,843,207,243,447,449,314,920,
655,707,335,101,857,642,573,012,192,967,335,056,322,862,872,549,423,886,895,
979,671,823,775,567,045,594,149,158,257,137,606,168,048,848,468,564,382,820,
239,920,499,118,127,958,793,986,190,734,958,291,891,350,815,245,649,703,032,
012,592,949,651,877,622,619,438,477,481,342,880,645,862,508,986,636,390,246,
704,269,222,833,431,180,559,181,141,461,403,628,655,260,058,214,611,971,020,
820,539,505,549,827,427,884,582,207,227,680,083,609,982,252,463,736,077,516,
506,587,721,802,059,762,054,676,809,560,930,558,917,311,595,591,672,725,987,
245,306,030,552,362,673,645,066,488,798,694,576,437,287,274,649,500,758,564,
015,796,201,043,764,674,777,851,423,920,836,913,818,800,783,667,388,096,086,
147,304,853,892,628,244,072,195,558,197,298,930,646,577,228,128,078,773,611,
545,988,210,359,593,990,835,325,277,866,774,201,654,946,269,594,083,827,255,
928,857,805,259,459,148,275,954,012,590,612,995,718,938,741,828,759,916,100,
914,697,001,048,469,606,704,098,278,008,607,408,900,049,818,207,131,199,628,
698,438,028,545,896,671,182,411,678,151,273,045,509,069,213,747,145,676,014,
896,724,272,662,749,050,947,563,988,594,264,447,279,811,635,894,479,247,887,
142,176,431,946,074,197,727,082,682,299,514,477,375,783,327,922,087,882,920,
996,931,240,200,463,376,161,135,964,512,044,023,310,666,779,457,495,777,461,
653,798,292,559,809,461,687,336,975,237,551,825,039,939,419,757,642,397,551,
292,878,330,869,554,014,862,058,396,025,354,532,661,287,123,998,745,354,832,
520,672,138,388,263,330,495,957,476,027,095,144,641,777,667,694,965,717,122,
841,334,433,244,377,666,159,068,940,515,047,537,120,640,072,331,328,842,092,
347,080,130,252,836,614,093,400,695,421,909,115,483,850,476,747,919,998,368,
890,358,012,429,140,414,418,526,562,146,090,254,682,722,413,496,707,357,305,
657,321,404,477,459,357,929,709,463,952,852,070,668,795,449,811,100,892,374,
500,959,879,232,949,922,949,769,072,778,064,804,822,353,309,055,507,131,138,
510,467,783,038,148,302,586,931,036,303,762,163,212,040,954,901,912,630,903,
250,266,805,726,066,877,803,884,917,831,894,508,750,265,448,500,967,571,023,
945,408,127,919,379,171,343,911,768,900,137,164,377,192,383,546,298,082,218,
580,629,085,966,018,168,098,999,864,063,449,400,150,199,239,273,941,363,164,
036,431,154,992,781,252,378,300,256,196,938,299,753,387,826,317,109,311,191,
315,542,913,217,345,945,688,268,659,804,349,713,741,360,007,531,582,079,418,
401,041,822,983,260,653,385,383,470,530,392,663,097,881,007,720,933,921,610,
289,172,959,993,687,250,998,530,359,497,209,752,746,125,767,184,080,227,187,
187,268,406,419,015,465,123,343,793,194,648,444,146,512,028,878,805,541,953,
408,872,367,172,092,016,889,992,448,143,763,070,275,943,302,980,924,593,622,
136,927,258,063,826,971,646,046,212,165,591,260,620,850,575,202,999,576,747,
246,527,357,685,058,751,784,022,169,017,244,663,649,209,214,575,697,082,042,
420,835,657,907,510,901,893,809,811,150,106,185,761,783,142,246,100,836,754,
161,109,277,288,142,607,366,529,870,965,204,373,406,799,090,691,102,607,752,
822,682,471,505,046,488,390,976,538,227,744,334,470,433,385,188,752,666,919,
951,377,164,815,651,917,841,991,747,187,785,387,926,288,089,444,215,039,543,
267,945,444,244,765,689,752,991,405,891,725,737,642,633,463,987,905,302,292,
853,747,846,569,718,526,939,639,932,125,682,177,051,993,468,584,442,973,976,
002,730,238,412,088,145,460,480,904,537,454,546,158,221,795,460,189,260,318,
070,296,653,693,155,667,960,093,406,789,208,448,385,598,231,336,883,230,201,
334,974,256,420,446,924,075,732,203,157,862,304,530,236,842,944,336,722,686,
765,144,205,531,424,476,974,251,470,285,768,398,210,150,812,318,805,884,547,
730,793,650,837,914,628,641,000,342,796,584,993,895,347,157,991,976,392,352,
590,162,883,336,923,523,694,842,634,869,118,989,559,458,501,924,035,843,181,
147,068,541,672,700,846,531,550,302,848,114,122,666,818,118,242,180,285,734,
397,264,255,852,528,724,945,055,506,231,667,850,593,140,444,193,124,265,499,
442,443,219,980,709,308,801,079,552,530,804,108,084,664,848,577,252,567,563,
833,130,139,523,902,855,833,119,894,512,678,636,381,339,802,323,143,779,947,
766,925,616,592,681,275,824,288,151,721,960,374,712,851,364,170,211,739,796,
994,309,496,625,095,420,333,222,555,724,303,104,371,499,801,784,237,517,114,
102,985,599,357,918,818,071,674,640,356,626,559,516,377,278,707,788,968,203,
847,395,999,927,019,097,553,742,533,515,673,863,653,083,088,218,506,811,773,
717,163,174,433,431,464,598,077,605,920,861,640,581,532,454,039,073,453,944,
482,271,402,407,599,412,485,790,437,077,845,779,486,756,561,688,702,314,583,
026,119,220,644,507,730,437,331,724,780,502,833,934,576,802,303,272,700,373,
481,012,090,184,375,062,871,216,738,140,428,209,843,616,647,750,285,036,214,
253,728,836,499,690,893,828,562,535,459,891,626,235,475,459,053,289,653,585,
965,357,195,750,123,578,210,355,466,495,722,264,919,358,707,362,325,941,629,
547,341,269,283,495,766,598,737,927,765,871,914,667,745,122,059,088,818,677,
211,999,488,222,460,757,080,379,166,957,446,422,181,703,176,408,313,081,845,
303,218,875,187,289,940,946,339,393,907,050,993,483,408,582,070,991,419,580,
986,029,702,292,892,299,398,767,556,802,238,192,063,099,961,588,940,506,606,
307,804,437,691,915,292,244,849,408,939,121,779,553,819,685,368,028,940,759,
828,376,135,456,757,685,069,895,869,248,644,649,443,083,241,326,245,835,803,
858,345,832,096,995,069,900,080,540,891,622,354,415,174,317,452,240,757,016,
597,659,086,026,108,655,958,183,606,819,869,896,757,446,080,317,589,401,597,
609,923,417,807,018,945,702,242,737,161,322,764,723,653,114,396,500,762,813,
433,792,332,781,244,409,063,972,142,327,501,050,696,082,733,458,501,682,799,
836,887,206,612,296,147,976,114,077,394,676,025,347,079,677,316,391,537,437,
058,487,583,218,977,155,034,603,257,753,411,986,758,904,743,127,033,606,443,
797,118,421,084,459,577,085,057,453,434,827,893,523,938,303,834,990,502,104,
442,672,862,235,983,340,947,400,058,866,455,822,144,270,351,631,256,583,420,
688,123,687,310,348,985,032,001,908,627,597,165,245,308,622,612,069,867,011,
412,838,247,631,485,750,148,644,788,882,279,344,530,086,006,476,787,302,061,
792,086,569,719,897,025,762,872,009,333,132,115,764,291,249,711,271,751,802,
111,862,621,508,519,173,614,313,863,299,689,144,936,494,825,937,909,149,902,
654,547,380,181,057,134,379,438,527,017,150,906,616,877,408,303,930,184,259,
200,091,728,209,142,704,357,711,626,991,434,183,687,891,918,311,207,606,420,
452,734,057,601,404,564,142,032,220,151,728,732,260,097,995,774,845,769,020,
021,953,514,597,352,155,850,429,972,778,972,168,681,252,921,993,763,613,031,
380,503,305,619,250,471,573,847,758,646,187,545,778,519,421,641,654,201,850,
787,265,367,359,407,836,309,561,315,737,292,148,981,269,989,854,945,789,893,
806,297,421,756,660,043,088,179,988,392,003,474,593,699,117,499,437,923,096,
009,450,994,566,963,586,677,844,674,638,572,817,346,784,460,298,946,010,331,
932,046,517,370,041,237,885,483,063,934,268,603,888,497,156,234,117,016,461,
288,839,458,780,799,963,072,108,880,103,744,021,043,470,491,937,679,026,251,
731,368,523,518,015,597,845,377,379,188,308,466,095,226,650,177,528,522,165,
313,298,247,120,377,605,364,005,638,331,415,660,012,033,407,221,663,557,318,
180,731,747,742,840,720,453,840,043,261,369,984,472,460,013,797,095,711,097,
129,216,264,600,313,569,569,056,376,921,841,502,146,561,585,952,982,255,047,
367,659,333,748,624,192,669,900,941,658,650,779,702,443,606,234,901,037,245,
948,341,853,529,748,528,926,754,027,759,881,528,989,297,891,760,570,617,526,
705,973,852,555,342,264,906,494,807,661,374,164,449,466,201,842,989,102,698,
708,362,070,074,147,221,620,055,747,919,570,778,304,441,083,056,123,660,482,
304,240,165,734,017,195,557,388,944,908,250,431,176,729,066,493,758,041,106,
422,337,990,230,903,151,639,101,249,609,904,367,068,082,374,522,278,314,332,
001,275,730,789,812,287,079,518,753,703,639,001,159,777,328,399,189,582,686,
188,214,468,388,570,695,212,087,128,672,701,905,662,690,526,392,878,922,399,
391,086,669,968,892,248,060,196,873,125,435,689,187,832,498,439,838,047,443,
807,021,528,275,476,620,784,098,342,917,059,871,880,910,599,503,601,684,262,
881,631,174,939,383,833,920,936,298,343,256,716,153,941,469,743,869,148,118,
138,007,837,964,943,563,944,092,743,566,052,890,316,454,586,261,586,756,688,
228,452,830,808,983,843,592,718,521,905,027,294,446,188,220,778,209,948,343,
412,190,411,835,937,312,225,892,265,022,064,516,978,383,080,290,229,964,825,
921,217,352,657,070,060,874,883,930,737,848,663,200,231,474,501,154,845,850,
111,595,415,343,399,220,025,783,474,071,924,101,772,903,937,090,327,397,875,
645,319,303,843,939,529,415,221,698,511,861,642,632,443,719,749,466,577,816,
809,344,406,103,470,606,815,741,395,311,373,156,321,814,397,263,962,491,280,
125,425,982,969,928,365,826,889,010,192,601,644,175,838,108,454,653,108,453,
316,565,835,611,531,456,365,324,177,513,023,369,990,069,536,024,170,185,928,
565,624,930,585,384,726,297,206,854,228,080,837,500,402,523,855,169,139,841,
667,026,635,816,572,160,915,748,088,904,040,114,406,020,114,121,924,836,868,
883,224,237,944,100,311,114,559,023,130,535,885,763,127,690,418,813,425,823,
502,232,628,436,896,020,114,194,991,513,167,896,107,157,298,799,214,484,118,
444,128,352,211,377,816,462,911,576,178,554,921,559,982,881,518,057,671,618,
247,961,297,920,185,793,272,893,430,932,065,608,474,056,635,951,522,921,545,
410,796,185,714,390,285,786,397,118,160,003,009,188,555,075,251,873,203,937,
133,598,493,730,680,004,169,695,079,382,840,703,941,981,077,253,823,339,044,
863,256,624,603,521,966,690,925,072,093,187,028,537,055,665,408,428,049,244,
498,084,416,967,698,515,963,836,350,868,515,812,292,560,180,605,604,721,958,
712,884,913,471,567,101,478,249,743,648,376,546,143,928,781,074,640,920,281,
382,423,466,560,234,344,089,760,637,577,322,619,241,730,547,824,267,890,793,
328,487,680,688,309,500,473,247,596,232,708,948,011,546,044,548,982,980,195,
484,305,289,594,223,386,110,139,497,102,222,195,715,892,226,850,954,239,374,
931,665,947,228,915,407,837,986,166,721,766,497,427,448,037,559,055,525,365,
379,548,024,077,597,132,319,810,395,106,249,076,014,517,172,701,406,482,929,
743,751,491,314,760,543,145,460,264,582,493,372,644,111,457,131,697,879,910,
101,286,879,239,085,715,072,888,100,117,722,531,183,745,317,680,511,651,459,
702,550,733,895,115,277,431,146,762,231,306,651,674,704,050,944,086,476,418,
864,834,644,033,408,695,162,931,629,055,806,039,470,757,831,448,189,245,883,
787,662,360,388,541,897,855,671,560,281,282,607,424,844,231,656,683,141,847,
415,262,390,473,247,232,476,708,575,983,542,273,897,593,136,073,845,496,625,
108,168,954,079,700,566,479,156,101,295,055,836,041,798,198,531,983,637,095,
018,395,957,967,856,169,680,400,561,485,561,565,842,708,893,946,660,895,612,
340,054,318,831,933,461,879,257,125,783,427,806,631,567,162,003,084,819,949,
960,474,063,769,124,736,240,099,317,833,284,050,014,137,516,864,693,503,712,
618,768,038,167,410,487,595,315,049,923,761,992,785,844,700,950,080,153,988,
653,922,625,236,480,476,549,467,865,193,639,233,402,910,204,122,520,958,491,
194,409,378,804,145,854,758,142,946,859,595,854,773,644,492,733,584,995,915,
658,499,673,156,374,654,006,884,859,361,191,989,567,395,698,739,776,776,215,
786,872,538,936,133,284,003,690,123,431,591,204,566,897,293,488,635,320,211,
002,470,624,609,099,727,210,884,580,290,869,585,833,872,227,209,117,744,178,
666,529,334,454,553,168,222,449,248,424,595,038,455,505,321,230,116,095,631,
600,692,835,088,209,589,153,769,546,531,227,042,769,742,032,540,019,949,936,
920,666,098,638,787,854,803,412,600,232,843,677,587,341,608,907,221,424,998,
840,361,636,861,165,384,931,724,754,841,898,413,525,093,778,524,308,039,957,
985,817,437,802,732,372,970,276,957,042,546,401,308,976,395,053,760,700,941,
172,437,003,934,736,978,847,738,789,487,260,206,932,901,898,754,784,835,046,
203,316,383,353,344,453,079,991,299,628,439,257,284,746,528,212,235,923,350,
845,785,951,538,681,080,422,673,394,486,044,877,484,073,188,658,349,835,919,
302,291,185,713,712,596,635,907,030,645,978,363,485,478,055,585,702,605,751,
475,166,373,115,118,526,047,850,199,725,622,367,419,599,274,343,364,220,728,
797,327,258,386,062,300,078,457,436,841,792,282,967,925,120,119,704,703,874,
116,795,871,269,267,165,579,280,672,295,649,066,613,804,855,311,469,680,518,
649,423,211,247,979,744,989,727,318,563,985,792,799,793,615,207,490,179,529,
174,234,579,398,958,424,663,249,630,385,224,282,532,450,552,048,816,447,785,
505,388,337,127,368,012,756,626,823,601,314,136,724,978,696,816,746,782,749,
588,830,442,344,049,822,727,495,795,369,316,101,725,253,663,378,423,960,190,
083,978,688,663,888,378,175,449,492,373,237,090,264,425,284,533,093,093,234,
443,298,229,785,193,776,403,519,286,546,602,349,813,730,847,324,131,854,590,
195,797,071,951,306,522,187,564,913,750,603,189,924,800,282,260,570,017,305,
367,141,284,611,098,669,295,342,131,423,114,819,793,651,069,176,177,876,568,
386,445,383,359,365,364,414,039,138,037,066,860,842,347,500,665,034,644,688,
603,537,918,281,068,362,240,074,480,361,591,909,675,571,685,608,988,302,677,
971,745,845,640,564,985,894,685,770,569,567,187,469,092,115,340,500,248,677,
718,798,857,872,231,331,026,733,371,564,530,317,868,094,597,223,774,906,357,
722,593,600,136,678,908,584,278,409,501,602,925,131,077,229,390,431,562,760,
082,974,970,845,663,249,317,725,254,718,878,039,141,392,348,052,741,088,642,
748,355,402,117,554,692,535,119,471,009,701,083,332,750,265,324,338,646,742,
883,267,358,247,317,782,422,983,942,290,466,071,090,468,968,299,783,241,274,
206,154,286,159,535,000,100,545,109,914,301,361,512,970,401,103,259,971,581,
298,086,552,972,986,210,586,125,426,051,016,229,205,737,715,963,506,534,542,
118,988,690,149,098,032,517,382,131,764,223,973,892,739,629,171,025,427,643,
970,097,045,925,078,780,650,352,519,506,838,136,101,739,485,197,251,503,349,
924,334,570,433,465,741,428,699,394,424,937,262,704,249,328,287,374,649,763,
967,127,305,411,696,274,121,497,446,128,347,729,840,451,715,262,305,631,329,
435,754,460,544,267,741,667,303,097,718,528,745,924,035,615,572,365,810,703,
965,494,019,092,349,795,622,032,255,101,404,418,449,536,662,941,943,001,780,
033,778,228,510,763,056,659,640,357,635,423,584,685,940,580,034,034,199,395,
431,199,337,754,097,390,504,381,988,285,190,082,811,377,429,425,239,158,156,
849,253,315,310,582,652,225,180,613,667,347,480,351,510,126,204,391,606,229,
241,311,675,991,842,482,685,997,532,236,223,436,131,071,381,286,194,404,219,
167,294,301,089,638,939,889,517,820,610,657,197,137,096,722,839,362,449,037,
981,522,119,592,344,458,716,253,117,747,013,018,984,503,308,080,087,217,731,
869,477,582,227,508,383,366,558,359,966,454,039,405,693,517,569,590,912,072,
412,908,359,612,510,252,760,659,200,803,609,454,143,384,251,116,930,706,986,
761,578,083,786,354,433,310,116,962,762,821,168,425,228,385,425,645,298,180,
293,136,325,899,140,016,756,094,529,446,920,681,586,312,032,173,730,626,059,
452,713,529,947,581,861,674,635,193,502,847,072,415,598,951,231,357,366,095,
279,301,430,570,393,182,985,355,308,753,355,872,830,684,744,495,270,543,040,
790,933,820,954,806,937,342,502,559,969,416,541,372,444,716,990,330,240,401,
678,637,496,050,679,394,033,759,115,352,917,563,737,750,326,792,834,677,353,
230,204,277,888,379,681,430,414,537,667,463,870,214,079,112,528,173,209,696,
929,232,852,842,078,294,608,230,475,444,319,139,390,741,068,659,478,146,653,
421,145,505,961,388,252,034,970,413,316,597,342,893,185,162,425,034,001,733,
664,567,112,220,049,057,787,530,997,210,874,652,681,978,955,575,752,321,135,
297,093,402,860,303,321,185,562,270,623,483,343,320,407,759,767,058,037,634,
041,212,371,606,560,694,629,118,976,845,307,649,713,562,016,417,938,252,229,
413,788,186,739,986,357,668,032,569,914,313,657,737,186,161,832,722,753,637,
646,917,492,940,257,188,687,947,036,555,989,538,605,100,859,018,850,313,366,
445,112,259,391,128,534,118,261,140,841,629,326,113,337,680,387,608,538,444,
028,285,732,700,834,667,987,270,083,844,839,325,926,633,472,706,825,981,248,
173,506,216,857,405,996,695,594,573,581,954,140,931,771,517,805,606,605,490,
099,966,228,978,913,771,347,721,702,984,087,940,002,542,166,673,856,375,638,
966,025,552,005,511,997,197,877,135,106,253,501,320,185,355,778,491,039,962,
865,153,187,551,028,932,025,423,667,152,774,826,480,404,568,433,211,744,706,
448,487,395,529,791,537,403,309,182,565,723,897,854,785,128,439,826,111,862,
282,089,406,930,981,009,261,879,733,002,413,594,786,221,737,299,643,864,969,
273,227,724,775,384,718,010,376,660,605,841,393,470,795,335,070,833,906,140,
524,276,640,893,979,333,169,859,251,895,729,638,867,267,322,676,677,355,174,
415,647,459,253,437,912,667,228,805,705,053,177,066,311,571,270,905,937,713,
217,815,378,871,140,538,475,838,785,519,922,837,456,286,616,586,825,970,078,
844,410,896,595,901,539,818,905,391,210,180,674,470,178,101,021,186,053,446,
382,964,734,379,267,867,996,041,664,945,855,298,751,021,143,669,702,347,148,
557,687,034,416,647,607,261,724,755,493,762,568,894,571,159,481,606,774,536,
975,986,565,937,208,358,771,902,928,185,637,919,599,330,667,621,730,829,299,
604,742,192,802,691,805,741,800,370,067,285,626,831,379,535,754,566,723,428,
286,740,030,980,347,796,997,717,946,092,300,714,247,545,685,967,394,629,334,
123,306,880,574,573,192,637,076,186,007,694,420,917,311,198,509,039,504,607,
093,059,170,221,545,312,664,019,320,481,338,638,704,522,734,861,347,333,358,
624,196,329,193,805,172,117,354,453,936,720,959,250,490,146,815,727,774,202,
174,882,534,939,594,842,087,230,232,866,344,315,649,815,342,447,337,701,041,
175,478,144,205,909,002,298,488,692,873,482,389,585,630,165,699,483,686,730,
660,018,850,605,704,582,077,070,501,774,264,549,220,280,669,349,050,841,164,
254,417,516,372,275,163,550,605,470,963,036,765,762,693,264,316,570,126,546,
005,867,700,444,413,785,402,608,303,947,195,862,771,215,846,220,523,965,558,
358,040,057,683,699,440,822,602,151,569,495,106,809,295,327,392,602,410,973,
644,978,398,303,006,614,907,355,624,545,734,580,163,445,008,915,089,124,586,
506,405,880,525,795,772,278,639,233,342,908,162,874,953,239,239,401,066,508,
371,675,839,944,989,576,271,630,322,106,437,826,784,636,162,979,528,276,684,
836,734,776,824,624,056,665,743,617,874,394,459,888,791,412,687,361,764,205,
511,227,696,989,456,641,092,747,094,934,537,637,354,070,133,917,287,458,164,
079,861,746,792,709,638,441,688,021,329,699,827,937,909,132,435,702,089,272,
184,147,847,457,865,749,902,994,688,988,471,294,588,771,119,695,063,481,902,
542,071,045,833,281,364,555,063,027,875,298,279,875,988,736,039,112,039,865,
820,391,246,554,611,423,120,800,884,206,667,360,313,783,297,981,963,142,433,
356,950,505,289,405,955,634,812,684,798,418,590,386,926,613,971,179,192,851,
574,644,333,849,280,866,090,772,493,389,179,705,164,624,046,898,466,245,093,
075,593,780,297,743,676,155,563,147,370,832,022,260,291,620,559,751,449,109,
960,258,174,178,265,619,110,104,572,019,593,379,289,062,703,515,607,991,608,
260,352,486,302,280,051,816,562,076,892,767,885,892,371,408,481,035,030,471,
417,165,018,090,080,393,571,957,810,913,913,279,149,107,538,287,999,871,497,
536,979,388,508,538,719,418,462,269,037,058,893,949,856,098,655,730,306,297,
633,533,745,542,434,833,937,079,396,933,931,011,348,008,040,908,970,988,811,
700,066,582,775,168,250,115,589,059,589,209,586,127,804,750,517,309,788,884,
900,165,890,826,295,458,585,111,001,294,860,059,279,706,382,211,536,816,453,
957,835,386,487,368,998,693,258,760,543,356,941,635,034,713,237,444,895,652,
592,106,204,648,583,361,526,946,871,860,177,934,716,460,159,853,694,388,507,
905,414,273,599,859,650,054,666,807,406,795,252,003,056,512,806,906,356,407,
352,722,501,420,831,372,635,906,237,337,735,637,248,708,711,948,549,138,563,
667,931,997,496,660,859,634,640,723,366,629,262,472,800,702,245,921,636,013,
669,173,794,598,268,425,653,000,960,568,291,995,058,845,092,340,804,299,556,
757,198,214,295,146,577,163,651,642,766,183,052,105,601,646,709,988,725,676,
753,835,492,946,665,450,691,820,875,598,191,873,252,336,956,644,745,503,082,
521,983,857,591,388,039,984,386,592,645,356,045,512,172,302,931,374,690,700,
708,351,146,106,309,171,314,246,296,694,984,011,413,665,028,186,711,581,594,
840,659,412,292,088,285,930,069,487,428,382,781,398,805,625,129,352,865,013,
444,297,560,255,310,250,893,492,269,214,259,540,488,177,858,278,614,942,252,
633,540,674,043,759,892,010,253,251,586,933,439,593,437,786,540,504,587,711,
614,014,348,898,102,448,557,121,841,548,502,611,619,030,176,752,822,310,317,
544,337,854,477,297,971,529,233,357,977,154,306,339,753,397,514,939,466,638,
779,828,746,009,542,333,113,891,916,800,523,472,085,427,663,694,407,569,158,
608,119,853,693,254,002,181,986,300,557,005,953,220,691,487,712,319,917,945,
310,967,325,700,708,648,916,814,023,467,943,060,045,900,277,651,154,732,071,
076,696,355,414,142,926,138,331,242,055,399,625,563,696,686,049,060,112,390,
446,954,558,946,666,982,560,890,394,106,270,958,293,832,331,478,634,072,406,
996,543,421,079,199,436,221,298,802,855,798,373,885,416,289,382,787,588,505,
719,901,265,262,302,701,208,724,498,480,440,213,213,328,250,694,673,443,146,
828,320,440,511,353,567,897,196,711,600,360,201,453,816,888,992,091,416,888,
352,227,132,353,906,409,799,463,550,878,469,358,641,640,174,653,456,700,693,
543,158,106,108,189,933,706,750,261,031,904,591,005,856,728,762,421,231,963,
868,913,842,400,819,882,900,837,839,945,437,937,916,438,878,705,829,943,648,
028,903,364,794,142,277,007,563,130,143,070,255,267,094,256,326,462,624,714,
593,986,348,769,595,277,297,365,257,885,468,272,406,944,685,265,455,283,203,
180,644,498,835,343,198,864,605,860,243,559,242,573,132,241,258,315,290,842,
606,928,989,957,658,918,346,720,627,844,311,358,611,902,233,815,555,822,620,
245,767,720,397,394,151,204,245,767,637,617,155,160,074,157,701,053,235,764,
995,046,944,621,736,718,205,728,055,703,780,312,260,240,644,562,919,286,529,
742,425,923,386,307,532,021,549,402,492,461,356,016,365,769,191,278,428,723,
828,535,034,649,902,527,016,664,032,696,464,849,333,711,999,113,006,347,372,
750,935,911,007,694,468,778,146,652,198,288,772,719,685,654,366,734,040,569,
575,948,451,829,490,383,993,661,695,518,016,095,980,620,896,082,572,968,367,
907,054,044,535,370,274,874,808,046,257,483,116,270,238,291,746,384,936,451,
115,787,595,727,300,233,918,021,400,566,122,711,891,402,519,737,636,551,023,
513,149,525,941,067,956,035,326,469,394,469,750,232,697,602,005,477,713,381,
999,405,636,627,679,332,824,170,065,114,763,630,696,596,959,080,047,101,758,
706,645,024,284,893,269,359,279,371,984,250,790,387,360,343,586,747,598,875,
363,172,678,117,671,243,221,247,427,045,414,965,096,963,394,568,064,062,964,
217,913,061,296,108,568,445,317,299,401,567,092,267,722,441,191,989,842,169,
656,318,374,580,856,973,074,212,284,442,539,223,849,128,484,155,524,135,792,
557,769,815,190,752,695,821,232,916,426,472,010,704,365,165,717,414,746,510,
266,411,942,256,313,895,087,637,003,756,208,097,908,326,056,608,487,864,862,
915,365,210,268,420,452,613,014,083,253,433,809,590,649,111,398,455,664,117,
050,795,143,261,247,607,631,285,392,378,398,700,670,483,306,561,382,345,015,
915,135,317,380,622,603,616,726,386,880,655,170,226,679,092,142,933,457,929,
055,993,559,534,845,984,427,030,370,278,914,812,211,086,528,437,606,372,141,
654,773,322,122,310,274,883,345,780,908,189,539,018,857,978,439,706,876,905,
303,865,595,249,944,177,803,486,366,798,937,881,465,991,964,324,253,404,929,
763,114,237,125,423,078,035,986,480,880,962,916,779,381,765,054,990,922,292,
989,694,442,401,994,278,533,258,002,454,584,553,344,241,882,158,353,189,390,
791,057,241,197,797,751,977,395,738,178,796,126,997,157,852,883,690,861,173,
462,575,240,580,829,735,154,946,632,335,479,095,827,775,122,655,869,699,079,
183,750,357,108,943,392,090,391,754,807,301,386,357,096,043,545,468,402,218,
781,688,512,396,592,875,996,783,020,141,610,269,897,323,034,830,459,051,731,
516,835,898,428,961,653,859,933,624,333,251,709,951,489,716,504,161,720,318,
786,194,098,583,522,973,830,178,350,115,430,328,984,920,272,151,452,899,393,
409,342,820,718,826,773,908,587,080,625,972,059,539,660,342,939,683,102,319,
880,460,938,458,904,089,328,913,134,453,604,393,658,081,694,754,844,147,852,
469,781,827,558,345,619,495,398,370,651,487,479,521,517,631,145,477,076,609,
495,026,834,983,442,283,484,739,888,650,278,943,820,631,985,386,455,260,157,
192,320,538,264,634,523,565,685,840,297,105,578,822,801,796,500,758,864,312,
475,596,063,166,243,525,494,813,330,795,643,808,320,624,345,038,330,488,639,
915,105,103,037,744,937,868,321,473,700,573,404,248,504,248,259,904,491,541,
628,079,172,994,949,261,809,832,517,865,078,381,043,162,618,292,913,504,245,
325,352,652,638,732,823,858,952,415,003,795,456,905,274,462,089,818,286,791,
341,780,901,703,847,920,379,158,603,983,803,738,074,742,072,071,562,920,391,
797,698,601,173,324,532,612,965,628,138,121,522,025,311,669,741,320,987,094,
366,399,965,375,641,714,395,860,054,717,917,410,441,529,387,633,961,701,445,
311,580,311,972,477,696,107,501,014,430,446,800,192,022,878,161,797,575,122,
690,630,780,598,365,224,913,341,281,740,591,290,036,355,471,094,830,421,476,
348,310,479,238,979,985,704,070,916,940,160,455,153,028,308,215,881,587,775,
842,221,345,506,919,959,309,946,254,619,190,044,450,511,347,279,958,697,681,
874,079,999,961,552,564,121,287,968,251,082,387,636,567,346,503,803,064,624,
089,420,598,822,665,412,978,330,733,538,110,118,535,615,227,818,432,071,991,
526,845,800,918,737,575,213,450,347,311,535,330,163,532,671,031,800,149,380,
265,234,647,568,561,185,555,758,294,524,013,258,842,250,150,535,464,890,939,
334,309,129,876,029,440,424,700,288,044,260,832,213,659,977,009,995,855,245,
173,360,984,329,874,673,907,196,400,413,906,142,904,913,972,488,401,759,303,
576,409,269,824,585,471,824,914,924,637,533,471,624,442,669,747,852,011,714,
355,990,211,144,715,674,761,026,512,893,977,437,155,067,235,756,879,545,522,
899,715,753,665,643,192,212,922,494,061,256,010,687,497,922,076,287,695,704,
978,026,120,236,897,957,406,806,245,545,857,198,700,111,536,379,376,798,773,
725,352,809,954,185,492,901,674,849,726,626,777,566,250,093,788,812,386,140,
172,497,592,153,457,951,781,644,560,099,607,075,204,622,839,106,597,889,463,
706,400,897,775,181,695,788,434,083,992,716,488,696,773,296,237,514,163,463,
406,293,729,272,514,498,979,252,306,831,200,652,728,989,144,612,820,948,155,
757,840,472,572,229,700,907,296,922,246,911,011,795,536,588,102,276,406,382,
770,741,665,862,399,244,710,439,013,929,550,073,620,716,726,595,059,801,744,
131,141,284,726,230,030,030,040,528,513,454,043,065,212,089,754,657,837,680,
292,934,883,765,923,415,447,919,503,236,839,779,079,908,886,179,594,723,838,
317,511,437,069,533,947,127,869,828,555,101,644,508,006,385,178,074,302,879,
848,126,947,581,320,677,557,418,859,130,491,446,948,033,661,618,322,052,114,
527,573,575,831,784,626,468,009,876,611,838,768,460,991,419,678,422,939,558,
287,046,820,504,199,536,217,399,272,999,294,144,125,572,360,563,692,414,727,
017,331,175,314,441,718,145,457,624,494,454,887,745,025,283,509,063,745,271,
479,481,680,930,425,787,926,701,461,853,360,858,777,462,766,954,471,541,407,
260,002,184,899,167,397,715,852,774,475,160,601,224,831,481,007,293,790,731,
412,845,228,766,888,674,595,247,131,612,691,402,649,875,049,556,871,767,092,
798,540,698,219,088,298,175,682,517,444,783,905,836,055,331,771,459,731,454,
508,115,983,077,012,012,540,115,812,572,476,454,595,865,184,117,172,493,514,
562,990,100,499,636,975,345,811,487,570,480,507,929,793,737,418,192,914,806,
353,412,194,792,956,020,085,456,042,325,142,334,973,299,294,648,031,467,429,
494,229,382,500,829,671,033,025,579,038,598,732,844,279,525,806,012,504,551,
909,918,808,741,469,930,604,599,930,272,978,796,925,927,022,868,764,424,393,
272,750,429,192,079,142,106,776,425,196,934,629,207,526,444,430,405,305,025,
466,506,762,874,199,743,510,926,093,887,458,517,427,233,533,051,514,295,457,
532,555,217,014,121,594,761,351,643,440,039,328,624,863,733,493,496,903,522,
664,455,394,992,176,544,672,776,442,535,530,697,403,569,316,184,579,679,726,
194,683,533,117,274,137,583,187,554,081,256,598,654,460,991,468,027,406,250,
881,640,835,659,936,861,396,649,450,111,266,800,821,796,743,658,691,900,545,
591,501,850,406,162,297,693,859,142,972,296,376,068,685,751,485,666,985,372,
230,875,793,728,526,598,150,629,588,643,741,858,335,527,184,861,445,802,071,
460,400,951,164,326,340,693,331,668,929,837,326,245,400,638,491,069,521,380,
177,373,415,638,925,549,414,869,938,468,003,593,459,654,133,596,602,107,406,
606,854,152,726,360,802,715,374,167,439,604,992,503,370,707,030,710,743,428,
928,358,017,339,298,440,033,742,088,986,363,207,163,857,890,364,280,707,520,
462,091,432,282,566,167,345,385,383,515,642,407,735,349,441,516,394,770,994,
700,379,470,163,213,438,163,114,687,792,827,717,343,761,305,499,067,914,953,
748,149,730,902,584,036,211,009,864,726,829,766,168,844,463,440,069,505,203,
217,669,604,475,096,803,072,156,110,155,166,056,809,777,062,761,939,834,927,
802,739,445,414,726,200,458,372,872,459,014,683,141,688,895,466,134,225,888,
913,071,607,835,879,333,014,099,117,960,209,635,085,777,320,063,602,475,611,
294,530,861,994,559,072,462,531,282,702,731,818,771,416,649,726,295,385,596,
139,215,718,628,747,203,644,579,365,908,472,683,141,947,891,950,929,221,575,
088,938,264,024,323,404,628,126,027,768,122,941,657,155,709,468,772,005,937,
746,012,066,566,408,426,202,067,467,659,714,412,734,073,019,257,510,045,605,
268,414,632,412,547,639,797,874,240,563,796,267,927,463,721,565,516,155,442,
372,500,849,797,116,690,079,929,981,218,391,395,846,569,777,744,395,237,717,
631,644,644,380,463,857,908,690,984,084,550,176,532,674,120,209,516,373,889,
308,707,580,548,095,208,179,695,377,059,870,090,420,391,203,516,359,165,558,
150,829,028,223,836,225,625,917,877,626,639,176,291,789,734,107,471,777,291,
909,938,809,715,519,423,965,151,610,263,854,492,790,327,333,091,665,236,827,
596,892,947,690,197,139,890,036,734,047,830,705,445,676,258,906,826,703,023,
928,870,423,938,898,584,768,546,420,285,973,076,039,188,228,897,931,115,195,
527,669,128,666,107,683,044,381,140,099,483,326,515,479,223,200,104,192,291,
241,709,530,205,953,528,743,673,503,166,344,831,969,456,004,194,484,442,970,
735,016,423,974,659,447,384,203,367,038,571,780,233,358,597,338,231,863,056,
823,374,012,041,082,064,185,210,700,979,478,152,078,042,135,201,095,357,838,
035,512,782,622,234,396,508,044,158,939,829,831,730,675,109,970,502,204,104,
997,438,984,928,726,154,407,774,087,514,368,738,357,318,875,106,190,205,173,
452,223,897,714,236,234,491,215,705,540,020,979,916,551,279,877,488,657,756,
321,158,882,500,180,513,235,489,412,107,368,617,839,724,754,850,644,812,824,
103,845,011,627,966,350,194,185,444,970,836,629,676,948,596,700,277,016,386,
337,212,723,361,338,100,554,243,072,214,898,632,027,768,362,817,867,538,650,
428,335,757,529,727,681,766,536,208,105,777,404,179,902,171,775,274,298,841,
481,628,846,770,714,201,780,752,804,105,410,403,852,037,418,921,824,045,087,
338,953,346,709,594,654,636,614,041,145,533,744,389,252,080,211,745,587,009,
449,166,411,202,989,898,161,423,050,108,522,891,142,503,566,219,432,036,497,
846,732,776,341,993,868,185,567,345,572,108,091,774,664,083,310,967,769,381,
872,793,176,156,724,643,658,586,018,956,548,224,832,186,124,244,655,105,316,
890,238,076,623,113,666,853,183,243,848,566,406,651,325,936,218,048,795,139,
195,826,391,891,990,181,494,701,712,872,220,450,521,353,897,029,748,119,831,
319,369,569,237,239,475,161,118,409,814,385,773,661,066,839,188,597,341,753,
125,181,625,539,471,274,334,037,521,131,100,894,165,312,747,604,430,449,233,
560,041,136,999,534,865,688,486,220,323,457,236,248,629,767,500,436,748,785,
596,459,093,288,704,089,083,909,597,411,010,088,619,910,753,605,042,106,925,
037,618,072,101,883,492,667,891,932,939,637,870,783,778,690,767,466,813,078,
065,195,867,188,060,812,031,883,313,047,146,604,245,820,755,276,482,422,014,
049,281,825,340,301,271,444,248,842,976,671,094,489,489,931,055,089,881,250,
193,334,024,553,657,193,042,545,116,284,252,795,377,541,796,594,669,803,267,
489,756,279,475,978,266,099,516,825,976,426,512,217,239,970,232,178,502,556,
663,275,359,657,154,619,801,894,687,127,022,620,158,145,717,561,499,112,675,
375,265,079,939,243,063,605,259,969,086,098,982,658,080,087,088,505,956,409,
113,731,109,513,565,548,161,066,538,069,039,936,440,162,254,709,897,249,693,
249,117,294,241,137,851,927,917,554,405,082,923,979,415,897,379,396,291,865,
611,594,438,404,319,091,678,945,373,437,514,424,301,487,038,770,817,406,262,
292,828,555,656,953,681,606,616,192,371,700,642,126,007,111,759,694,680,079,
009,448,035,570,321,028,589,454,173,547,219,454,630,202,907,405,197,650,546,
988,678,525,624,623,061,301,660,826,481,850,262,553,118,428,730,454,341,909,
745,763,194,389,406,708,629,482,581,265,547,960,945,682,801,921,433,418,197,
079,477,095,814,505,250,420,257,051,274,447,990,452,470,407,200,002,479,049,
663,029,005,075,902,260,256,029,655,583,719,829,247,156,536,703,777,285,926,
302,045,194,252,055,450,761,904,658,517,594,809,365,556,301,789,325,797,568,
550,311,058,879,095,706,312,978,929,038,361,728,064,267,064,408,288,168,985,
313,645,012,349,893,838,713,907,296,985,073,585,552,078,057,676,770,546,853,
935,877,662,922,335,031,130,241,919,604,262,264,633,519,615,906,567,767,697,
036,456,986,465,412,890,819,816,116,252,323,807,127,037,762,924,678,586,374,
646,904,420,007,620,451,150,534,265,453,486,153,148,496,022,490,278,216,503,
827,516,599,606,446,085,340,888,884,435,738,757,888,344,702,655,386,273,685,
663,309,862,325,808,437,262,471,262,474,279,809,708,997,274,856,151,295,599,
618,174,618,683,040,238,675,595,292,905,160,888,478,845,005,192,693,998,736,
761,945,416,690,828,245,876,702,403,324,141,021,756,723,973,801,155,439,141,
487,491,314,877,517,681,179,935,971,485,522,252,794,036,583,968,922,533,594,
701,043,700,497,280,011,358,058,867,415,302,053,802,323,480,143,849,221,305,
908,356,321,329,737,190,634,357,615,030,477,834,968,108,294,653,893,148,632,
972,585,267,243,939,613,265,481,452,371,132,497,514,938,304,291,941,475,888,
760,539,140,260,130,644,067,689,010,727,400,102,099,850,025,218,471,434,582,
007,315,523,174,317,015,710,461,959,044,824,850,402,964,241,529,152,808,509,
285,897,718,482,925,222,035,211,377,428,044,227,043,164,000,147,584,692,679,
443,531,205,820,166,311,039,275,990,432,667,342,632,919,900,779,735,634,844,
221,402,202,003,388,674,723,876,014,144,086,669,834,493,219,093,978,338,768,
626,830,631,446,969,094,819,817,289,239,504,469,284,974,749,302,075,767,942,
718,792,484,028,010,480,644,030,627,731,612,609,343,399,602,535,357,509,423,
777,723,437,613,229,307,547,117,427,499,588,446,343,629,966,011,344,141,142,
038,438,502,114,613,841,844,311,018,734,745,073,572,925,068,147,539,780,245,
448,473,636,105,574,182,141,594,457,600,896,273,385,427,381,810,702,176,848,
631,842,832,903,469,762,260,214,221,308,386,441,195,676,569,859,795,441,164,
460,925,198,829,391,940,679,964,224,609,038,080,720,779,692,822,822,898,331,
644,277,837,766,185,912,060,740,732,181,308,063,992,256,749,585,097,518,226,
277,631,999,865,810,293,170,326,424,209,385,641,416,526,383,328,927,031,007,
207,756,852,705,464,726,823,961,011,464,760,145,312,200,964,986,599,982,204,
320,784,166,335,720,821,457,044,950,922,339,708,161,677,578,012,169,076,589,
871,387,321,751,602,475,194,733,008,515,189,400,793,903,551,591,536,231,736,
717,083,437,366,070,020,547,756,479,862,799,164,540,827,087,893,726,743,646,
133,186,372,703,165,444,338,065,101,985,286,823,273,403,119,522,517,010,290,
396,739,194,679,568,338,372,014,472,541,597,195,392,540,163,724,524,130,230,
683,680,285,509,175,273,895,669,805,327,956,250,368,842,708,161,137,056,191,
068,527,705,182,720,346,082,191,387,232,333,691,259,582,278,676,083,859,389,
573,319,705,395,732,831,654,857,610,670,256,140,813,949,010,401,506,295,639,
973,553,476,300,172,984,167,970,467,674,616,304,454,967,193,064,835,969,875,
767,752,234,809,511,161,204,365,327,740,175,858,172,728,219,335,221,604,539,
230,979,545,793,969,455,532,724,315,197,781,298,361,975,793,771,259,942,452,
067,888,221,869,434,479,619,499,277,786,050,704,995,072,471,650,407,688,478,
760,127,867,127,194,899,274,517,437,858,567,003,762,483,665,748,569,048,332,
811,991,391,901,048,937,760,627,879,516,697,024,719,627,616,870,041,284,871,
939,384,809,725,023,572,215,947,495,513,013,966,638,493,341,197,129,116,818,
388,254,489,303,584,376,827,675,646,709,831,653,565,893,437,008,959,131,958,
570,296,883,792,276,577,010,988,524,497,578,832,473,640,281,118,895,033,838,
716,396,421,444,893,909,731,890,085,613,551,023,150,795,262,944,525,420,060,
559,579,226,426,007,131,845,242,554,839,971,353,221,588,880,659,957,458,390,
167,475,193,213,152,726,910,326,667,055,941,166,833,605,646,502,283,758,806,
619,680,578,372,338,600,080,984,934,000,266,725,532,280,944,785,762,460,485,
465,021,234,476,485,498,819,344,278,151,449,450,117,229,775,571,861,294,189,
413,688,570,704,584,569,334,392,203,899,712,630,586,411,585,002,473,734,634,
815,879,039,629,569,744,339,886,866,569,228,643,967,504,904,899,953,204,710,
727,480,219,204,447,202,237,625,371,135,329,467,424,490,422,779,124,587,176,
009,476,283,411,305,849,540,162,699,225,676,176,125,114,151,620,706,943,166,
261,990,119,418,471,988,852,936,302,312,147,667,195,740,645,275,519,408,503,
103,117,833,926,916,705,429,432,698,499,027,841,673,291,909,207,563,298,863,
296,343,126,672,699,498,537,490,014,202,808,291,879,810,867,128,117,276,237,
661,661,003,400,642,263,594,485,312,666,485,959,231,187,850,953,058,556,187,
658,828,533,602,366,193,356,660,462,610,706,103,275,368,986,287,207,838,860,
284,200,693,831,608,027,977,427,202,998,362,047,608,512,280,648,809,294,618,
169,570,896,338,539,120,803,848,364,330,820,570,683,746,207,431,502,481,774,
618,347,117,972,028,313,717,813,013,840,816,814,692,591,459,019,495,892,928,
085,721,031,545,421,520,727,365,899,617,522,682,146,697,419,098,865,424,433,
362,062,355,018,622,599,395,915,127,197,152,713,332,274,057,920,500,829,070,
262,387,056,028,226,837,904,066,369,809,304,830,086,053,420,087,239,146,781,
056,921,482,743,156,967,441,383,878,092,111,513,899,725,091,100,359,283,828,
538,185,697,808,259,756,453,583,444,224,471,173,545,503,154,372,499,689,306,
232,181,705,207,233,931,606,618,721,680,179,783,320,408,151,422,204,294,887,
743,504,906,895,320,864,610,906,692,657,454,101,237,845,775,417,256,991,313,
922,772,973,247,067,025,906,743,340,678,854,742,978,903,514,921,637,372,017,
405,887,751,885,311,660,705,084,817,837,558,879,582,132,928,535,678,319,713,
066,155,420,688,761,456,020,349,475,161,293,508,063,267,332,398,539,915,376,
465,819,723,922,043,011,122,202,465,976,596,611,340,950,740,137,371,071,438,
080,147,949,215,379,730,317,603,151,308,408,564,281,642,479,433,716,720,848,
850,428,572,853,094,254,319,401,828,718,611,963,524,959,322,421,911,173,072,
553,652,832,532,670,729,025,322,624,894,548,412,117,978,935,448,757,695,812,
456,468,245,712,505,779,394,900,122,500,954,155,978,845,514,168,494,296,454,
723,088,613,195,437,522,535,960,017,060,502,905,997,916,555,783,030,847,692,
719,893,849,164,974,282,844,447,449,541,057,981,050,436,920,831,865,113,494,
151,654,168,950,470,823,916,817,802,911,583,170,815,930,131,699,050,241,222,
456,178,992,705,473,115,476,222,437,625,303,847,973,046,493,450,198,118,451,
332,136,382,008,556,279,500,750,443,097,651,933,844,056,617,219,925,027,480,
630,338,558,577,317,269,242,723,797,717,071,506,754,489,469,580,077,384,711,
505,653,140,779,766,320,032,244,724,986,213,707,961,964,989,398,605,672,633,
118,572,193,700,319,334,972,594,868,064,807,606,642,826,136,838,900,706,631,
796,898,682,697,093,562,257,552,549,306,618,188,371,563,990,328,310,848,987,
329,779,838,846,476,777,295,641,082,883,009,983,236,615,919,265,161,841,213,
468,156,529,055,194,797,833,055,806,040,396,009,359,663,632,375,621,183,344,
743,795,672,686,587,303,421,340,023,963,322,862,353,855,779,656,481,152,817,
770,083,435,865,235,800,915,359,304,303,085,939,787,260,206,963,665,862,844,
561,640,623,773,085,699,975,682,627,903,799,353,807,257,254,510,425,306,323,
303,933,445,650,032,985,033,428,025,629,142,771,787,408,142,375,647,580,238,
355,919,407,578,579,209,618,282,610,149,165,982,079,673,064,678,881,379,220,
163,591,733,436,990,105,282,712,696,673,891,963,923,470,502,342,706,110,929,
052,239,997,157,364,904,692,344,965,889,778,351,386,305,215,972,739,626,252,
211,504,142,808,483,461,082,914,033,071,854,500,213,387,450,095,989,535,966,
890,223,397,713,463,130,351,770,800,398,514,630,233,120,125,160,979,409,451,
735,966,919,598,396,586,125,052,986,906,411,710,541,685,408,554,184,811,329,
804,814,616,209,928,283,276,002,733,694,798,086,962,478,653,743,314,301,042,
822,297,088,671,438,762,831,513,718,149,002,992,855,890,452,849,094,582,859,
814,406,873,539,216,803,547,928,042,930,588,252,122,933,872,162,318,261,606,
719,973,210,735,045,374,737,765,841,666,798,699,060,476,191,225,062,431,095,
132,838,385,492,911,720,910,864,289,950,672,310,402,710,246,834,195,643,656,
525,413,782,295,807,142,047,299,141,087,461,356,662,565,687,462,121,037,233,
243,597,429,639,016,525,034,778,574,921,005,718,272,436,546,303,301,735,806,
193,241,386,343,288,982,506,099,524,430,760,280,013,896,128,139,961,906,829,
799,297,523,757,820,706,057,495,650,642,278,333,882,458,947,206,894,310,359,
470,490,834,209,544,423,143,405,427,501,750,155,598,724,013,787,915,541,144,
163,589,428,661,965,949,219,675,232,811,101,058,273,101,277,135,212,108,160,
825,175,709,870,785,023,726,804,526,758,895,571,852,986,834,962,818,533,332,
506,951,536,251,451,392,042,826,146,455,099,539,577,838,769,381,667,647,847,
277,650,339,746,717,787,592,582,340,433,381,928,999,975,382,805,978,881,469,
332,967,390,496,790,906,588,854,623,075,210,759,965,948,088,534,475,024,030,
778,942,552,086,227,271,756,231,032,851,644,149,170,789,974,064,459,997,834,
928,882,734,002,411,375,676,207,847,284,249,863,203,187,874,235,481,642,388,
474,119,289,939,122,466,834,044,878,492,480,971,315,022,895,249,302,823,417,
540,843,420,158,976,422,371,675,492,318,358,614,506,865,284,819,335,961,167,
350,247,850,429,790,444,883,954,171,138,817,640,911,021,430,634,239,412,369,
856,349,548,637,295,854,632,045,665,724,300,938,238,626,002,643,653,791,215,
524,169,976,959,823,195,421,668,543,756,210,680,347,698,210,541,075,242,281,
211,616,324,306,869,888,121,035,323,611,724,472,323,859,594,220,072,453,834,
670,812,814,750,696,063,836,584,129,832,782,117,972,886,764,467,422,364,720,
787,263,902,989,901,098,793,981,472,752,650,498,662,716,918,671,163,474,346,
437,852,776,113,483,169,542,666,837,973,894,683,393,246,813,767,754,081,900,
531,071,255,603,616,266,969,135,920,635,082,695,236,480,614,372,314,092,522,
760,684,327,967,859,094,744,416,166,125,331,903,086,393,781,455,986,949,641,
371,743,340,822,235,795,210,564,008,369,315,261,457,334,540,318,512,566,051,
266,402,898,084,195,776,983,120,878,830,435,229,615,702,816,569,749,307,278,
574,747,210,746,379,171,804,763,273,479,366,899,711,663,974,462,544,990,143,
354,772,395,929,371,316,231,712,930,621,203,194,450,517,480,108,619,948,855,
734,641,857,309,601,156,848,011,061,087,334,992,877,069,499,193,521,039,402,
317,775,076,628,596,228,707,265,486,328,529,347,570,288,553,561,429,131,115,
560,619,293,603,911,851,865,733,307,471,450,821,976,714,345,625,702,884,406,
554,871,605,388,224,983,491,131,072,046,508,833,535,013,433,398,599,730,751,
880,049,243,844,112,486,494,567,714,526,023,877,553,557,530,805,919,438,478,
448,244,128,003,310,109,960,171,741,418,233,113,620,933,341,137,374,976,668,
483,653,221,885,649,484,835,170,396,415,337,310,984,617,953,727,927,870,815,
103,756,542,181,826,142,671,157,229,655,734,240,781,694,515,715,526,734,391,
094,589,350,679,905,963,613,436,005,319,107,225,883,114,085,859,064,662,648,
352,548,446,572,743,073,973,147,602,229,705,458,246,841,556,750,902,823,383,
613,032,995,789,035,908,773,610,384,279,837,234,643,004,933,160,028,788,745,
686,458,091,742,405,214,565,997,196,579,884,731,147,601,443,226,708,020,012,
228,620,877,846,470,936,449,669,559,279,964,801,574,740,849,447,200,262,176,
409,538,999,350,410,890,409,705,094,788,361,068,663,920,579,725,300,086,577,
029,470,089,407,250,441,509,724,828,813,609,178,376,342,046,002,303,915,605,
158,298,672,180,230,769,298,052,973,787,446,055,667,383,089,287,156,115,840,
125,094,396,618,820,487,552,873,737,411,366,793,882,722,324,661,333,484,667,
138,234,284,767,013,936,795,435,607,840,741,195,734,554,102,523,610,517,607,
682,090,911,345,938,383,021,970,631,094,794,695,559,993,272,042,835,549,351,
470,485,705,698,188,159,274,840,552,003,925,985,068,274,275,210,339,436,760,
648,609,387,025,018,133,407,767,767,017,999,134,160,478,126,288,298,303,002,
147,668,228,722,476,176,496,839,585,397,860,977,214,280,100,792,245,108,452,
906,279,214,159,413,655,811,491,929,061,170,966,806,138,653,494,245,425,400,
450,697,940,334,644,824,945,511,874,243,330,204,918,982,875,534,485,604,228,
937,215,652,206,283,264,452,064,213,975,990,556,891,879,211,675,834,304,577,
838,954,860,274,224,301,000,049,643,486,427,093,960,826,015,736,098,417,311,
783,616,587,416,910,013,184,924,728,617,861,089,023,529,737,721,304,108,840,
857,532,832,561,372,253,251,926,913,695,560,855,486,481,051,013,885,964,420,
269,538,368,869,506,418,109,540,832,242,126,383,290,344,206,230,391,009,154,
759,538,000,877,109,505,548,740,546,798,990,593,067,431,592,822,443,422,383,
378,357,746,736,483,782,065,997,521,113,078,015,213,734,446,215,139,073,559,
437,283,086,702,544,818,316,357,091,076,359,452,982,425,193,077,121,550,847,
596,053,971,493,214,171,789,011,069,283,635,962,021,034,440,132,464,970,558,
915,075,194,418,562,852,032,673,886,190,577,286,063,514,393,014,206,322,011,
457,750,938,221,871,450,111,388,915,871,522,661,600,329,978,083,096,946,966,
936,040,553,988,895,317,375,908,005,790,448,831,422,842,236,379,165,878,952,
075,395,509,404,232,299,586,501,091,913,426,276,324,800,446,823,967,808,537,
724,664,169,961,296,450,522,981,413,437,216,040,903,593,516,959,510,901,326,
032,406,440,139,301,018,015,271,746,905,527,822,569,276,219,181,614,258,172,
054,318,674,055,027,541,421,243,199,541,324,693,400,270,944,399,543,820,032,
392,741,590,364,375,147,747,819,596,773,831,457,415,339,050,636,303,456,496,
046,742,104,623,554,097,248,770,914,807,917,480,602,393,160,471,779,864,955,
078,303,677,981,412,618,744,166,837,303,043,325,471,789,842,709,260,888,676,
226,059,359,529,793,759,298,342,194,234,024,001,617,351,542,948,207,028,025,
926,108,524,371,608,197,328,741,716,720,549,205,749,433,978,211,537,061,438,
473,259,327,076,826,778,854,305,127,625,092,149,788,914,049,567,452,030,795,
067,194,258,724,773,368,027,094,798,063,612,849,305,520,207,174,505,470,583,
344,851,424,173,700,853,665,055,691,147,540,694,641,687,282,845,096,034,122,
276,379,446,984,117,859,366,150,877,235,013,805,080,840,093,298,830,406,426,
221,142,255,470,540,199,825,517,692,698,956,751,051,662,005,798,814,557,147,
542,354,206,158,066,880,445,030,683,061,706,742,649,390,004,268,303,658,972,
226,663,148,918,138,844,754,349,649,272,659,861,649,299,508,944,300,824,479,
445,187,624,050,832,333,097,751,148,299,933,202,288,546,364,515,669,338,000,
657,710,113,040,244,511,523,227,103,330,794,150,008,937,287,407,584,797,327,
251,496,556,764,097,602,250,102,098,715,085,010,580,149,478,038,364,708,576,
006,995,883,353,854,710,738,934,542,295,853,519,501,457,034,031,468,653,740,
326,939,953,656,613,819,961,670,912,555,166,452,501,721,378,404,416,234,819,
337,950,925,318,274,764,055,684,366,235,372,149,148,922,785,476,302,336,647,
147,506,743,791,041,904,322,584,934,965,374,241,058,364,462,180,271,274,195,
322,728,158,607,329,644,284,735,643,997,232,882,797,004,419,471,790,111,920,
368,136,047,907,487,993,243,103,339,438,757,699,216,534,609,792,520,917,523,
075,896,940,512,404,266,800,780,326,367,281,988,436,237,096,811,232,055,389,
413,090,945,762,876,938,667,822,419,706,938,426,092,819,284,679,468,773,372,
928,587,204,778,444,804,123,394,397,651,623,426,197,557,120,571,416,113,988,
059,364,252,928,183,868,697,497,208,889,012,123,353,227,494,164,046,920,191,
878,437,674,535,183,365,879,907,150,066,602,939,755,913,068,464,740,359,057,
566,825,844,998,608,939,510,077,215,641,192,590,319,416,684,378,351,663,707,
165,324,919,702,343,962,760,696,454,756,787,366,879,891,605,247,602,916,895,
020,012,370,378,571,591,798,535,831,942,648,373,387,812,515,503,601,029,457,
530,875,984,210,959,024,816,722,261,729,126,318,334,421,257,155,971,723,321,
389,244,267,637,605,230,176,710,991,119,374,383,851,619,416,883,504,384,474,
990,711,467,493,887,500,452,563,911,513,447,788,872,260,973,072,804,437,481,
491,762,536,121,662,139,829,120,173,723,290,270,916,041,139,406,633,427,266,
216,566,725,064,495,424,295,871,482,729,525,001,218,426,604,960,458,997,877,
298,012,110,194,178,658,926,062,605,569,956,012,645,981,322,084,334,374,240,
687,083,534,962,531,248,065,815,512,458,890,597,080,860,487,891,377,733,734,
858,396,687,381,719,612,165,054,918,833,985,885,776,694,453,428,079,113,920,
124,079,051,763,682,410,204,719,204,738,557,881,004,450,491,668,784,322,457,
471,353,520,890,095,751,496,334,973,440,617,125,034,699,167,702,360,082,020,
794,745,190,849,901,979,242,544,277,739,578,540,983,988,416,924,906,116,828,
089,180,965,189,813,985,701,898,241,017,248,905,297,588,012,168,305,886,100,
032,367,081,884,411,553,865,029,467,766,695,022,780,280,967,912,084,394,728,
852,838,882,174,737,552,802,148,781,039,349,460,709,943,490,041,945,803,283,
228,493,504,326,438,228,198,733,087,096,850,676,346,768,870,390,669,312,810,
296,470,722,233,714,973,865,793,476,483,163,596,105,763,480,697,817,657,854,
046,766,877,314,565,948,436,120,782,268,677,496,949,659,046,930,517,480,737,
858,868,378,293,924,116,737,621,116,193,737,564,225,727,136,705,277,901,363,
441,572,201,620,761,504,371,864,390,549,384,387,078,118,835,758,063,429,373,
342,175,997,679,792,234,156,460,960,681,973,650,452,214,885,721,266,070,459,
437,597,755,990,021,244,076,999,390,878,117,093,230,537,605,004,197,222,280,
003,311,193,594,071,529,641,303,609,693,884,906,585,172,596,339,537,784,644,
695,447,929,607,848,980,017,142,552,296,607,437,122,133,547,907,611,848,910,
892,158,099,749,790,760,120,712,346,594,138,570,828,619,010,261,955,037,128,
057,399,236,175,162,418,152,791,289,453,093,861,766,887,898,178,397,794,439,
420,785,775,442,237,669,512,794,704,504,993,429,546,178,423,829,770,524,116,
533,667,250,274,889,563,156,882,642,377,752,537,805,820,001,689,659,400,345,
142,745,628,063,052,431,537,561,801,789,097,388,164,541,084,382,086,809,635,
541,108,757,845,690,949,315,737,590,591,648,017,424,780,620,328,511,299,238,
120,371,763,055,761,859,557,937,401,119,563,101,791,941,456,921,288,299,644,
119,578,981,553,878,387,404,167,474,268,516,770,434,958,947,917,873,157,770,
028,082,725,826,774,276,286,483,743,081,667,335,299,062,785,633,655,177,919,
249,136,511,059,160,176,332,116,027,723,498,296,932,178,822,082,598,229,544,
149,783,189,620,795,053,891,131,028,751,220,837,071,070,796,595,667,947,065,
583,679,096,994,909,092,434,038,716,217,543,681,325,985,466,011,251,258,124,
821,554,672,284,136,207,789,009,655,364,119,823,426,523,240,519,081,894,025,
830,487,395,585,317,559,872,770,862,116,001,026,816,355,938,905,550,423,691,
010,050,794,367,265,628,613,542,854,910,251,606,789,866,533,399,544,830,827,
727,731,917,280,948,302,675,742,263,068,910,015,917,492,183,528,435,737,210,
031,809,291,079,078,141,081,665,271,667,290,802,932,544,368,121,209,848,873,
905,764,604,514,694,373,322,467,030,475,299,367,057,330,538,581,908,789,684,
965,871,763,628,990,192,183,157,815,988,531,910,048,494,779,688,320,255,869,
837,644,314,150,831,853,001,474,843,899,265,376,214,567,813,656,874,821,234,
781,683,162,460,249,349,258,093,090,079,702,413,206,646,557,562,282,368,889,
920,829,469,551,696,626,781,257,690,680,718,599,605,814,919,591,625,592,212,
208,753,461,571,014,945,930,638,478,321,146,793,046,345,306,799,964,854,624,
826,563,284,679,225,511,328,543,867,319,974,908,867,551,696,161,632,076,748,
893,496,290,585,694,318,851,230,329,506,108,030,523,109,278,416,316,433,490,
733,982,599,241,579,840,862,101,642,959,480,239,357,143,465,012,349,294,938,
440,609,444,867,718,568,448,428,186,263,328,786,683,808,157,843,651,624,765,
796,575,098,258,128,148,516,901,913,470,301,950,968,805,701,172,687,835,568,
431,257,759,172,928,564,024,004,974,891,533,557,861,369,581,322,601,732,957,
269,789,877,666,532,589,361,850,631,732,028,796,412,236,519,026,245,275,325,
386,833,966,331,791,064,056,758,966,526,437,095,870,951,876,098,641,571,688,
062,238,694,093,786,915,229,151,309,958,702,983,967,140,786,848,300,838,061,
721,910,333,797,449,686,495,282,433,420,183,673,564,354,888,266,636,757,868,
369,967,237,596,899,574,797,016,733,176,123,035,424,033,706,438,819,408,982,
050,396,078,381,447,959,747,188,154,681,408,422,187,214,364,932,022,670,955,
738,022,427,634,891,389,878,230,564,390,119,652,680,322,581,888,424,321,379,
602,632,487,288,922,248,020,799,331,833,882,360,702,876,096,777,030,145,074,
266,636,750,272,839,503,781,153,407,570,872,054,920,546,006,209,212,816,564,
440,193,983,302,586,336,888,753,371,032,050,395,381,407,365,135,050,784,324,
896,694,922,501,147,764,166,443,716,753,132,525,471,408,837,255,467,769,833,
590,099,587,491,042,868,522,692,428,868,118,163,546,862,085,823,472,729,560,
239,088,802,535,063,181,785,045,044,406,843,306,270,132,824,620,021,451,876,
643,336,332,742,116,313,037,855,041,485,165,012,137,423,125,775,200,874,598,
977,466,440,572,137,385,873,224,850,733,584,521,484,524,356,855,827,056,267,
513,397,126,144,159,994,454,997,249,777,004,485,339,105,190,883,892,334,820,
676,713,528,962,072,493,900,416,552,696,514,595,907,623,835,283,006,263,332,
657,102,932,219,148,815,941,289,563,630,588,017,314,756,199,529,316,503,375,
313,167,661,342,018,184,018,619,077,970,115,284,557,917,393,767,022,490,083,
473,065,884,498,466,387,816,788,184,225,960,870,844,264,383,764,436,748,641,
751,399,481,198,799,855,670,498,459,141,573,988,188,360,624,670,255,877,704,
873,583,604,984,509,400,480,390,339,238,587,373,217,656,270,490,337,106,051,
000,098,029,115,360,710,138,169,984,523,243,993,201,480,805,432,979,557,413,
738,041,938,132,274,445,927,034,640,175,120,696,536,688,528,538,289,059,639,
873,231,115,933,639,843,172,553,493,462,526,647,788,713,465,000,028,635,695,
088,255,142,792,598,557,506,261,593,520,470,118,305,705,199,227,083,281,041,
257,024,660,061,653,144,562,107,290,236,497,680,746,117,082,343,488,590,264,
046,794,361,337,084,369,122,101,466,668,381,378,919,803,617,843,145,463,658,
292,579,507,391,912,192,495,472,814,649,230,705,663,694,572,570,240,451,003,
162,411,970,702,033,216,499,864,756,576,911,270,325,569,685,322,107,513,422,
376,378,593,637,401,596,382,895,929,216,858,749,546,088,928,103,896,679,130,
489,014,741,780,607,077,283,265,505,607,713,226,758,891,389,761,966,530,312,
925,020,592,948,947,119,428,527,697,237,839,052,249,094,163,440,683,613,285,
803,283,784,255,175,902,503,794,097,413,650,918,983,925,454,182,884,816,633,
702,216,469,814,129,074,279,078,627,042,308,047,396,703,490,566,268,591,197,
245,079,333,624,527,582,546,169,581,233,774,158,994,208,777,095,535,459,042,
975,001,624,694,731,617,740,668,767,032,576,328,071,684,476,082,725,448,494,
036,944,713,484,839,993,554,761,471,569,000,724,092,197,288,226,898,668,873,
635,392,968,160,828,185,864,797,834,822,513,789,309,225,853,627,779,371,162,
821,664,021,846,964,162,254,225,229,889,302,958,051,700,908,030,844,767,320,
653,242,401,464,158,721,954,004,436,914,765,475,188,414,439,154,329,185,986,
874,951,349,663,746,342,013,605,178,657,603,777,211,474,969,012,564,299,964,
869,081,235,192,225,579,791,866,917,159,035,047,647,479,420,700,264,137,611,
249,097,735,459,824,745,379,756,349,325,400,599,169,120,930,230,745,223,803,
435,445,042,977,896,611,380,091,950,099,999,718,649,663,015,199,156,256,235,
212,994,914,773,369,127,482,611,743,525,609,309,838,090,703,508,268,954,349,
736,972,704,596,481,895,776,735,219,754,852,932,330,534,583,923,390,358,836,
364,761,178,811,253,082,515,506,282,058,324,386,954,071,795,238,221,864,527,
960,998,216,301,225,418,291,213,026,587,546,933,401,366,547,131,456,113,112,
462,390,893,087,722,608,838,912,609,185,029,938,060,179,877,435,615,624,277,
154,183,794,705,999,735,642,408,456,429,948,895,971,376,060,777,244,399,528,
319,350,759,907,256,178,281,764,871,878,304,343,973,126,412,228,589,174,691,
103,158,462,764,118,887,135,676,061,624,738,406,502,941,946,891,799,631,202,
825,130,819,693,071,838,113,536,470,252,011,956,632,082,417,753,733,174,024,
007,498,170,118,929,336,722,485,253,191,562,057,157,733,357,605,661,562,500,
216,178,337,377,743,140,526,506,008,939,280,637,239,041,702,454,405,880,122,
175,088,878,621,614,312,269,646,124,220,858,657,053,568,849,758,881,279,542,
931,854,057,965,698,223,407,861,436,999,715,342,886,779,006,426,849,820,764,
947,060,422,642,244,802,576,537,719,467,316,697,610,297,446,453,308,891,019,
401,246,972,843,493,197,219,362,724,632,873,845,891,061,017,680,351,478,071,
101,683,879,743,297,353,657,030,707,012,087,730,969,812,963,926,049,747,019,
425,250,553,849,525,142,638,980,615,488,839,647,310,282,337,452,195,736,054,
863,300,768,348,293,475,016,263,617,487,858,042,872,848,951,373,650,608,549,
777,027,418,742,829,609,994,952,937,359,331,071,945,105,287,758,948,880,787,
230,044,003,061,672,305,503,135,310,267,336,981,465,376,873,150,339,047,486,
857,752,710,536,362,641,491,817,395,987,727,311,093,233,205,471,306,737,760,
202,467,669,860,209,053,295,539,855,345,610,964,003,735,914,392,227,188,107,
580,747,483,201,398,122,206,477,436,996,020,429,601,046,109,340,076,210,338,
034,083,087,307,610,928,783,288,423,899,250,221,351,245,954,214,468,325,591,
410,283,016,729,184,319,327,385,368,655,080,972,355,101,045,837,213,918,745,
886,985,629,760,060,060,938,908,640,665,931,785,435,258,701,765,927,783,999,
201,860,857,453,002,661,411,883,167,380,707,774,909,311,354,521,510,437,022,
270,503,986,069,799,799,526,442,714,349,080,713,676,901,403,287,482,897,750,
401,857,439,376,265,852,762,494,785,527,115,269,337,134,064,345,159,372,930,
980,783,022,408,178,305,188,342,910,887,376,093,686,586,889,166,822,172,355,
731,505,698,988,735,085,412,455,412,459,445,838,501,646,141,335,461,709,780,
470,009,510,018,205,376,993,720,633,707,479,747,251,076,191,088,015,988,239,
809,843,871,553,693,462,419,750,569,688,217,743,732,719,668,323,830,412,705,
078,533,962,155,278,438,339,941,402,645,910,629,912,113,059,999,702,509,255,
161,805,627,361,660,067,507,155,526,343,735,584,051,476,068,955,793,355,843,
648,517,166,598,102,465,182,879,407,537,783,964,816,047,454,070,262,192,863,
447,412,574,032,748,795,655,632,083,756,055,278,245,951,425,532,516,852,150,
552,455,111,861,206,941,617,333,319,219,555,243,870,699,943,084,848,892,100,
277,382,846,882,878,091,479,824,730,238,923,606,497,362,399,752,554,169,084,
040,490,958,753,621,942,979,019,556,775,072,737,722,179,750,398,305,755,984,
865,606,272,063,143,156,739,957,493,893,869,772,580,537,942,875,734,273,325,
419,992,370,485,402,104,931,030,293,295,361,244,772,217,167,598,584,892,112,
982,994,524,436,745,557,490,622,147,481,330,052,338,154,825,085,518,992,307,
190,234,468,413,519,144,770,794,597,676,782,941,070,241,987,297,060,600,351,
365,646,162,653,162,333,671,505,184,919,921,868,481,805,847,080,124,426,193,
283,179,780,178,758,819,281,316,019,122,281,628,619,820,195,313,762,325,683,
705,191,250,130,894,519,581,462,680,779,261,354,758,878,224,270,086,068,254,
160,042,132,548,261,834,936,893,485,106,373,108,375,584,757,742,937,596,712,
572,982,888,841,879,276,070,000,917,377,822,901,397,424,354,255,289,102,545,
093,306,668,098,002,347,265,535,464,436,318,881,350,545,538,613,891,555,397,
717,609,045,111,874,966,833,144,221,499,701,959,585,737,804,886,242,574,893,
625,580,999,462,847,791,794,045,438,262,611,951,352,580,301,714,765,324,642,
541,646,975,207,628,502,979,648,426,627,444,435,818,130,573,992,577,639,699,
042,228,828,325,699,266,643,607,630,097,339,654,162,307,456,126,004,025,705,
585,631,365,329,520,851,443,629,517,114,851,373,533,625,826,830,906,254,712,
797,984,059,635,572,420,214,101,360,856,758,591,398,661,112,255,562,943,261,
125,950,784,033,478,806,646,000,533,627,723,943,914,579,018,258,764,616,839,
772,271,162,989,158,460,195,515,675,909,279,834,680,692,842,012,243,907,980,
395,732,748,889,380,186,828,714,773,853,779,199,426,201,161,322,288,489,581,
378,979,667,339,555,080,744,391,127,293,379,801,847,959,679,320,220,583,666,
325,770,073,490,795,904,084,623,306,954,343,621,522,301,694,550,848,278,747,
885,064,980,693,105,670,868,184,208,122,511,316,940,043,255,056,438,175,768,
423,075,403,336,885,976,757,418,528,266,807,729,695,056,667,428,057,181,204,
792,403,510,444,534,237,081,396,832,681,219,802,618,119,586,334,726,500,606,
990,778,582,836,498,744,820,241,767,334,451,900,430,453,750,614,749,739,878,
781,455,293,441,174,605,025,273,504,056,408,877,154,203,253,994,706,141,159,
044,651,662,384,992,581,210,461,330,937,630,152,106,823,644,777,617,034,350,
199,892,789,503,609,967,212,127,521,718,392,797,612,836,051,285,535,146,589,
679,440,108,622,496,737,392,505,848,868,478,608,134,040,979,398,070,029,549,
768,197,645,958,430,009,537,180,854,035,644,004,991,378,554,254,469,908,810,
197,857,640,527,532,049,892,674,149,102,663,190,136,940,305,776,841,940,959,
897,636,587,982,564,928,457,278,903,602,087,564,829,971,744,261,274,846,237,
056,756,807,797,223,343,282,310,924,526,022,998,831,617,921,376,505,376,032,
340,149,668,994,791,617,458,695,852,387,529,407,165,224,824,874,888,842,005,
704,889,657,440,539,435,386,221,539,143,585,968,608,747,580,069,885,712,152,
569,935,747,116,432,179,283,996,293,327,504,247,488,051,297,582,646,715,674,
574,710,728,409,052,474,506,669,142,035,870,219,928,632,315,411,875,770,551,
397,061,735,088,073,110,441,400,364,371,777,233,679,498,044,882,760,705,390,
464,970,200,077,381,826,793,781,882,773,167,992,366,895,161,803,287,651,068,
971,599,621,672,358,521,560,601,629,011,568,429,014,185,758,884,717,816,851,
149,762,960,817,299,962,428,555,710,222,965,417,738,644,061,957,160,856,799,
274,802,013,976,072,766,302,882,526,840,672,718,168,265,529,545,734,110,791,
990,594,969,280,897,346,078,987,003,116,492,812,882,746,093,892,672,068,045,
665,198,196,734,890,679,661,293,881,795,726,604,330,755,064,008,510,966,010,
142,405,587,040,207,571,932,008,059,636,616,688,773,908,973,283,677,986,158,
996,265,658,695,941,054,331,447,067,043,902,767,217,958,444,334,478,639,478,
677,266,928,262,468,439,431,590,921,076,291,094,248,601,458,618,611,384,317,
929,354,770,082,347,552,560,322,080,765,204,261,308,257,460,421,928,715,731,
220,687,097,192,890,310,864,279,768,512,634,450,894,843,817,827,762,683,370,
036,291,249,649,453,921,145,025,466,188,200,484,790,071,839,305,734,250,726,
091,397,629,670,063,005,036,461,690,096,269,144,317,082,945,338,068,956,084,
961,637,435,573,153,606,598,202,821,580,484,449,352,515,848,880,614,453,201,
110,791,386,637,698,578,599,986,059,051,390,351,620,430,712,230,110,659,786,
241,388,714,941,922,543,065,250,193,591,285,474,186,927,092,159,054,071,355,
947,771,675,760,400,747,725,109,242,225,280,671,147,159,562,960,869,093,841,
337,941,309,010,591,597,685,288,831,521,281,012,509,358,978,975,562,117,899,
935,800,656,072,787,528,333,484,182,419,409,040,576,295,751,704,799,945,367,
255,731,673,741,324,207,616,838,630,859,349,748,428,547,491,043,489,170,864,
105,492,077,422,362,539,691,568,954,589,640,471,790,786,498,977,927,485,466,
971,216,481,056,558,708,519,409,301,049,370,884,863,876,093,280,134,635,256,
929,593,912,916,919,246,665,049,922,820,273,784,258,340,401,128,240,398,779,
784,532,497,694,289,001,195,174,846,238,234,708,153,169,151,717,527,247,570,
349,933,634,026,507,868,743,805,197,564,837,112,665,931,781,707,887,391,347,
646,296,873,384,895,224,546,627,715,052,366,477,510,620,141,030,829,458,492,
503,202,819,484,654,039,809,259,032,295,992,569,349,547,377,593,579,809,435,
589,561,521,148,633,347,534,362,130,480,847,474,939,427,611,362,423,751,159,
111,778,296,064,943,968,939,121,673,021,329,887,546,801,180,140,745,817,014,
681,166,116,295,558,880,797,197,943,199,970,234,539,772,387,067,745,794,287,
013,308,207,834,650,595,621,396,904,359,963,042,963,835,292,246,870,364,992,
611,736,976,938,010,499,839,920,868,066,904,076,896,764,304,731,161,899,215,
763,424,903,401,056,748,253,198,989,218,975,403,154,928,808,816,335,771,237,
584,670,015,570,145,246,367,356,313,314,100,374,020,894,465,541,175,710,922,
566,314,728,318,020,911,923,275,927,469,862,770,756,862,308,386,157,309,894,
524,194,250,964,640,339,595,108,855,091,146,558,983,457,613,139,730,674,155,
281,443,428,379,552,387,777,407,954,321,843,727,266,202,218,866,930,815,385,
839,240,415,881,686,330,733,403,010,834,796,152,583,377,289,945,327,101,896,
880,147,871,614,490,847,456,651,438,782,106,462,162,447,194,096,632,739,944,
154,926,448,066,662,408,208,190,834,683,384,151,797,117,561,628,095,842,424,
949,529,146,947,002,624,508,732,466,670,864,561,977,593,941,378,316,944,500,
141,862,858,302,326,418,945,247,776,075,615,481,173,577,620,269,013,764,591,
027,233,659,442,579,532,777,017,366,618,732,909,914,972,222,058,577,477,568,
950,226,427,430,196,974,487,247,122,375,849,332,867,075,895,216,656,840,405,
094,620,971,621,857,907,165,365,286,911,629,210,959,388,773,059,842,373,254,
078,142,987,652,720,815,685,709,998,165,447,875,087,189,476,072,921,352,448,
237,764,885,926,402,966,415,116,919,997,791,445,504,659,194,539,095,781,212,
963,521,460,729,623,798,616,953,761,027,967,991,007,420,500,662,153,267,440,
685,356,576,058,101,929,892,030,244,284,687,346,951,485,262,205,000,224,909,
182,179,048,647,323,517,955,530,052,765,598,535,152,014,396,854,286,170,693,
656,144,567,532,028,664,576,992,676,231,531,076,310,834,773,468,232,781,188,
637,880,018,007,503,172,591,596,123,253,495,206,849,967,669,907,175,079,878,
533,932,109,156,806,856,261,678,237,205,599,214,950,231,515,868,926,159,227,
082,310,169,550,038,720,632,091,643,191,459,233,243,286,621,853,923,290,080,
245,057,523,673,210,537,466,170,790,122,989,770,465,716,221,695,165,863,385,
714,909,975,580,820,997,930,755,498,697,049,485,557,599,814,730,134,540,079,
676,536,541,443,373,006,818,463,158,106,615,857,819,595,476,226,188,837,293,
974,954,297,737,588,668,227,273,296,258,622,186,651,575,817,065,664,800,573,
925,247,081,106,565,022,771,365,773,487,116,341,530,147,825,684,349,444,547,
457,136,613,007,233,840,688,040,812,509,812,946,174,642,184,034,740,675,837,
516,298,216,043,758,491,484,244,506,587,893,596,876,700,031,729,954,674,566,
925,397,035,231,445,514,988,113,596,236,234,801,384,130,446,425,855,420,964,
661,614,749,094,871,115,434,755,825,359,548,328,007,312,010,652,991,139,891,
664,705,383,151,800,077,026,978,932,373,506,407,805,027,874,944,507,901,682,
077,159,241,001,896,072,031,840,416,884,952,995,320,497,298,612,820,723,512,
956,389,020,387,716,068,343,759,615,842,219,496,943,094,744,442,915,882,061,
460,241,953,224,291,126,784,963,515,789,678,253,329,057,083,161,494,542,803,
794,227,510,489,275,377,755,420,629,630,672,802,469,236,878,138,277,355,036,
603,489,947,442,119,400,146,011,648,888,197,914,687,629,732,412,096,867,515,
141,575,697,750,716,163,069,660,958,334,137,388,971,207,035,438,319,564,472,
724,388,366,049,568,597,098,111,690,644,916,070,179,104,159,664,004,392,057,
949,704,302,358,613,516,101,299,288,997,127,553,673,236,934,487,530,719,195,
454,370,509,485,108,268,203,493,696,654,188,957,137,683,054,896,799,665,569,
419,449,008,677,825,831,204,925,657,126,107,720,320,688,120,143,533,379,677,
707,730,372,787,366,545,210,116,371,497,664,363,223,927,726,641,946,455,067,
545,297,832,305,595,869,346,593,451,887,302,500,026,837,639,708,951,895,807,
727,296,904,613,959,274,280,267,707,553,237,684,349,730,035,908,985,528,665,
575,480,343,409,011,486,808,443,079,089,416,040,795,936,056,389,311,410,543,
291,362,320,548,796,851,322,866,201,459,005,743,708,484,650,299,679,403,852,
207,598,876,108,293,197,741,444,461,623,002,162,770,023,904,005,485,909,625,
278,197,280,440,935,054,080,359,106,083,381,994,779,792,957,198,156,538,534,
862,554,414,263,617,382,755,620,551,900,381,377,384,413,163,051,017,694,283,
912,473,888,287,681,302,458,396,191,940,344,605,349,970,729,833,453,564,910,
339,166,314,597,737,921,493,552,070,123,594,471,376,791,963,845,910,198,553,
553,432,234,276,257,832,196,040,486,792,041,671,901,488,692,524,966,151,564,
262,181,520,471,826,328,310,933,256,943,467,974,454,444,629,508,327,717,856,
075,689,908,357,422,882,202,606,645,354,112,773,164,797,109,675,800,392,734,
353,139,707,857,149,841,242,875,011,745,381,717,129,915,176,172,491,124,449,
411,032,658,629,553,721,246,695,820,756,269,301,695,771,108,450,786,374,603,
545,513,725,716,774,693,053,148,008,734,952,852,746,044,871,609,472,006,017,
065,001,534,256,281,396,839,284,511,754,599,571,357,086,459,799,614,717,564,
960,106,762,178,850,055,418,771,666,060,191,829,634,551,479,979,175,999,920,
226,486,653,445,462,606,121,719,323,637,624,794,907,800,597,437,243,705,194,
154,390,618,474,916,527,830,302,100,358,957,157,618,077,651,874,789,216,070,
676,056,851,632,291,787,521,764,710,824,882,181,634,776,856,599,843,256,521,
332,223,496,076,377,682,819,323,561,140,684,261,264,562,541,186,316,305,221,
073,777,665,794,757,885,956,945,819,141,247,434,449,577,400,827,941,215,807,
389,053,816,672,837,564,511,506,256,775,341,015,105,573,137,061,445,000,678,
622,012,305,502,512,510,963,981,000,554,216,809,307,588,289,689,996,108,491,
094,150,157,795,425,955,579,325,623,925,425,816,593,530,941,093,855,291,468,
584,020,647,837,920,380,151,637,381,972,225,368,324,100,755,415,178,937,874,
869,303,917,422,928,117,777,441,124,293,983,003,757,644,148,982,776,487,760,
066,874,054,744,824,719,443,544,990,768,267,146,897,903,260,278,201,093,581,
761,136,366,219,768,522,542,813,026,079,413,954,763,855,960,545,008,471,265,
398,800,552,452,235,413,047,954,745,762,750,633,073,840,664,106,716,288,892,
602,031,399,389,305,573,936,838,905,837,785,148,519,305,011,028,782,687,552,
002,710,582,231,049,175,395,506,673,505,845,426,040,056,201,047,146,516,844,
576,414,998,571,314,672,845,359,256,828,538,485,207,865,689,190,898,073,294,
769,315,679,906,075,418,219,353,408,504,905,046,875,860,656,990,296,642,524,
402,796,784,710,229,389,308,948,137,402,029,575,289,793,760,520,147,339,737,
864,655,652,690,338,305,073,102,288,195,470,550,762,467,427,382,859,969,272,
350,681,162,315,761,897,090,899,856,484,977,691,347,069,624,192,023,338,012,
987,404,639,726,398,526,833,804,358,075,149,336,444,430,309,390,251,642,977,
222,122,992,461,275,475,495,347,117,998,921,453,259,864,207,855,231,145,529,
827,306,635,643,392,761,732,509,821,570,754,313,704,988,057,097,661,652,870,
208,938,900,044,616,315,744,282,487,440,995,865,755,568,303,068,648,359,688,
026,311,708,270,618,173,492,726,711,826,575,785,146,727,840,208,988,741,639,
063,243,033,262,519,478,211,594,339,596,902,779,302,642,820,349,687,322,514,
343,797,401,038,898,156,361,586,570,847,327,720,128,425,161,175,726,956,144,
439,748,722,043,104,387,590,726,882,335,865,565,313,127,262,956,513,056,319,
182,537,080,078,015,548,072,696,876,865,596,301,917,025,610,734,458,174,059,
634,871,960,447,529,735,958,434,678,555,330,688,239,845,769,363,546,475,699,
704,059,400,187,932,391,911,421,952,420,275,135,757,605,368,802,459,716,706,
129,223,076,728,670,906,932,645,737,931,104,702,979,643,059,295,644,575,035,
997,489,214,387,523,358,848,770,062,482,644,802,669,075,257,267,427,908,886,
811,427,161,656,812,219,286,781,417,287,431,166,921,416,135,597,044,294,081,
683,675,031,650,615,496,429,910,017,175,626,624,017,827,941,918,578,250,607,
582,592,132,279,098,724,873,043,486,482,998,068,830,641,772,229,170,820,375,
697,154,588,110,375,798,980,600,985,063,804,822,720,093,491,250,311,624,881,
822,637,145,192,880,459,481,267,393,066,383,595,507,547,684,070,517,070,679,
824,483,675,395,681,863,552,464,858,860,614,581,790,887,628,261,854,240,961,
536,246,771,765,802,567,958,976,928,609,298,788,341,626,018,144,960,182,485,
991,497,572,476,806,050,187,845,679,773,681,169,134,982,896,429,028,060,107,
911,606,083,885,282,398,474,152,203,970,064,252,274,232,771,951,203,877,207,
629,027,412,295,022,524,376,548,315,354,531,869,660,305,859,274,744,939,274,
905,141,090,552,624,091,146,148,064,884,417,080,870,177,012,870,668,812,544,
869,585,608,722,764,524,546,543,914,412,082,034,226,478,250,503,595,716,685,
414,928,884,019,011,869,234,957,820,041,699,592,530,610,355,723,277,738,119,
747,122,363,568,600,368,154,555,840,590,759,466,094,375,070,916,134,142,064,
569,803,194,860,726,211,334,360,022,366,837,990,508,358,396,191,930,395,362,
776,961,872,217,835,485,220,943,411,363,881,075,986,665,957,459,456,681,863,
947,542,683,852,572,886,651,302,484,528,036,060,538,729,047,402,271,308,694,
217,631,486,302,507,870,779,877,479,931,687,365,286,639,179,729,852,125,169,
923,386,348,744,560,174,300,453,063,213,467,378,720,848,211,385,591,514,620,
554,093,247,443,423,492,617,265,951,116,613,062,463,153,978,249,765,529,013,
189,092,387,569,965,344,569,665,314,388,723,784,513,921,196,369,112,458,383,
007,614,621,690,867,499,129,846,859,502,859,245,122,482,783,276,082,533,270,
801,730,816,142,782,057,932,116,107,370,223,649,538,909,733,707,313,958,088,
005,683,464,320,780,998,288,975,955,536,818,968,156,927,315,375,716,735,200,
214,203,400,873,589,759,576,415,791,614,301,827,459,251,260,416,360,238,258,
772,411,559,053,555,913,552,420,615,158,812,155,907,463,362,459,785,530,014,
650,766,522,681,180,854,108,540,692,956,454,934,355,895,275,353,041,601,594,
548,572,331,786,700,201,123,015,214,020,502,962,036,225,102,047,268,039,792,
396,470,885,503,613,998,739,354,302,974,880,361,579,245,773,255,942,823,839,
977,398,805,500,785,441,298,000,486,736,254,838,586,870,756,113,641,307,050,
910,798,650,275,734,209,290,096,790,843,438,738,926,475,680,395,264,491,247,
744,862,432,493,201,806,002,030,974,354,674,917,051,521,787,464,357,372,643,
939,176,281,032,166,779,906,674,622,012,858,199,289,854,785,186,392,190,732,
522,830,724,765,063,117,669,442,748,604,177,307,531,115,845,222,697,029,009,
333,189,468,683,034,784,554,306,943,321,041,125,035,807,897,489,743,633,353,
263,491,892,240,699,963,519,430,952,360,701,330,256,158,080,485,125,305,511,
147,247,673,860,183,094,012,665,385,725,371,743,391,725,900,794,574,724,372,
438,031,557,168,722,577,667,967,002,478,098,843,131,421,461,277,554,085,384,
766,535,595,472,793,365,209,808,842,745,948,184,888,395,797,111,788,342,869,
985,326,276,745,380,914,518,052,177,291,020,715,448,113,241,645,059,911,757,
617,300,770,716,733,159,085,842,632,851,183,101,041,995,528,434,730,671,703,
068,683,744,790,377,033,444,135,068,403,370,746,008,943,965,991,505,239,332,
257,459,957,699,341,278,204,384,670,125,660,405,699,395,595,766,186,122,365,
022,576,138,252,161,625,318,136,767,714,979,277,898,655,196,256,238,141,486,
041,909,655,278,275,307,398,709,456,378,978,546,800,286,232,295,226,553,461,
747,284,592,229,676,767,061,707,110,799,118,453,073,804,889,602,748,397,949,
971,665,972,865,620,609,708,942,778,479,030,402,769,790,072,097,324,589,580,
070,571,970,162,874,773,160,846,279,845,622,626,487,807,475,382,123,052,014,
509,166,166,468,510,008,537,995,856,419,033,099,364,841,257,977,108,674,807,
070,136,532,739,238,189,394,794,025,043,611,054,238,223,015,432,417,052,493,
765,548,259,929,432,009,506,911,337,636,871,976,650,418,514,078,125,629,209,
997,331,137,833,552,057,588,258,548,168,211,849,398,722,757,719,745,677,787,
446,751,858,871,475,211,464,636,013,881,395,974,023,273,787,928,880,983,173,
122,467,797,665,195,897,063,347,198,385,635,979,710,001,914,220,972,391,996,
436,557,698,323,482,694,732,037,446,632,636,388,848,919,390,112,011,480,660,
996,267,703,903,365,566,280,471,019,092,264,279,353,423,631,737,365,533,689,
475,703,539,255,172,760,586,776,798,104,159,517,236,748,539,445,188,172,393,
455,326,626,940,352,793,307,737,565,909,229,218,134,384,005,747,364,039,426,
823,810,638,231,991,986,359,453,267,715,766,414,880,629,645,075,065,179,179,
118,115,210,022,440,011,690,626,691,993,576,192,772,448,297,870,954,070,569,
992,058,717,732,953,982,133,653,288,840,792,622,689,899,609,302,963,248,109,
020,743,500,317,863,978,755,809,515,559,073,884,363,933,593,713,137,457,540,
410,270,704,372,212,644,594,497,447,907,707,514,109,821,670,073,151,912,213,
786,005,029,091,665,475,930,523,965,957,144,746,465,998,319,952,262,812,574,
538,122,227,584,066,197,805,116,630,806,322,637,545,659,836,439,095,012,938,
517,304,268,075,008,108,790,542,608,877,054,093,932,002,890,041,955,212,915,
508,699,867,438,370,665,713,867,840,636,625,272,860,637,682,691,941,431,741,
580,003,638,717,933,749,714,774,905,484,729,546,311,409,799,944,520,512,191,
481,271,830,930,136,311,525,338,576,657,272,319,912,385,736,344,115,015,763,
813,571,737,450,466,647,507,929,662,873,473,163,257,724,605,774,531,870,364,
531,800,811,795,318,714,647,427,536,355,453,171,580,508,281,018,395,147,916,
542,805,935,169,468,311,329,744,086,203,931,808,656,232,883,291,596,174,218,
934,041,697,186,863,022,998,517,399,123,684,889,785,315,913,927,349,098,916,
409,708,863,557,571,553,172,532,303,217,754,843,816,720,140,809,755,739,035,
362,602,780,057,837,453,627,496,447,915,069,192,072,373,864,352,776,906,822,
184,523,029,563,548,906,100,034,310,181,198,795,280,598,605,376,832,405,715,
260,184,630,067,049,009,506,661,125,525,052,887,221,413,979,779,700,098,539,
501,514,113,278,679,032,979,106,974,709,665,812,062,478,711,376,573,853,452,
473,512,264,650,353,815,657,833,790,816,585,015,964,803,403,025,682,107,750,
935,967,651,953,627,092,945,019,891,266,715,019,747,142,771,717,153,676,910,
809,125,804,530,258,438,425,627,647,343,720,286,907,530,619,106,580,170,240,
146,276,664,419,053,943,521,127,185,181,059,414,606,758,054,822,049,830,472,
891,864,550,249,699,078,898,266,054,712,650,962,460,370,381,258,420,702,955,
507,571,394,264,785,459,279,184,323,537,371,675,901,714,187,975,655,964,736,
057,960,407,273,393,026,509,278,977,330,336,360,854,389,338,910,679,185,333,
913,206,431,992,745,521,853,624,688,714,147,435,909,069,458,526,369,001,581,
019,545,219,153,541,974,189,215,459,802,517,478,443,438,697,099,156,165,851,
716,381,065,071,830,208,595,514,567,219,904,960,309,170,538,675,526,827,942,
485,847,855,682,745,353,930,908,072,858,979,973,441,031,330,698,421,211,077,
280,796,014,172,947,539,166,275,130,669,191,610,833,260,391,974,757,987,693,
089,810,711,235,946,122,026,070,171,738,890,792,450,448,890,880,002,150,539,
174,204,106,999,384,400,767,555,315,643,337,975,954,154,430,399,244,213,848,
640,015,715,681,448,902,914,285,381,678,566,988,764,611,137,106,677,072,155,
374,039,399,858,434,245,354,449,568,549,801,648,607,484,906,853,772,174,267,
001,706,050,715,166,833,290,290,818,653,573,062,367,010,517,063,463,325,951,
502,134,934,683,918,189,571,467,389,600,100,409,797,656,719,547,374,766,731,
325,153,902,860,590,791,704,590,640,079,684,563,724,272,096,890,997,881,372,
731,228,892,701,867,719,433,100,758,502,094,914,797,605,729,665,958,483,545,
928,832,378,572,449,826,841,778,417,863,460,061,893,931,397,421,228,514,494,
504,327,547,328,902,130,899,559,031,726,311,023,997,672,007,337,843,538,302,
273,521,554,911,761,807,031,621,152,867,037,660,376,408,126,331,426,565,796,
267,136,165,854,597,215,055,830,484,959,831,481,552,040,016,221,276,744,949,
009,052,593,279,219,346,881,495,015,896,312,640,965,469,282,921,235,875,718,
052,740,292,800,408,992,372,952,704,847,495,602,290,809,478,481,652,157,502,
639,098,307,492,340,844,479,719,311,499,701,030,406,608,336,516,372,172,318,
630,709,584,378,126,827,948,342,625,912,150,998,984,689,387,125,945,167,082,
447,525,621,609,595,402,660,083,694,491,007,629,681,440,564,436,169,489,815,
865,177,646,168,471,054,830,051,829,665,066,812,272,869,399,075,415,755,296,
026,070,043,267,258,097,877,930,717,726,295,602,843,635,717,015,147,054,976,
653,131,815,468,548,598,269,272,687,130,604,100,067,953,977,482,789,531,564,
616,467,334,233,547,025,444,130,201,181,588,628,598,602,919,809,292,239,799,
753,848,174,021,391,752,376,245,631,486,520,111,223,145,932,724,685,929,667,
759,729,322,497,296,487,619,038,201,870,103,681,277,247,676,478,942,222,073,
511,766,693,153,240,796,186,932,539,495,710,303,909,265,930,728,787,652,501,
397,860,209,214,716,777,337,260,446,508,962,137,026,173,565,798,243,099,717,
641,772,102,218,815,765,073,057,869,909,332,754,420,020,432,726,951,225,706,
965,490,569,032,885,745,082,727,874,610,780,445,167,001,964,412,845,651,136,
247,584,042,243,507,014,151,783,262,282,439,176,932,338,804,330,709,470,011,
069,292,067,526,540,361,775,949,099,509,440,840,830,628,207,050,756,162,970,
102,698,534,690,054,470,233,001,330,389,007,657,472,176,505,252,452,868,020,
780,286,690,747,745,396,442,566,188,232,260,072,270,527,664,136,727,616,569,
994,664,759,254,533,380,116,370,613,463,525,022,880,767,860,798,151,309,190,
046,620,909,559,481,689,862,839,111,889,310,680,838,925,636,304,284,086,728,
220,904,394,320,090,139,059,655,765,675,754,883,539,333,214,398,670,569,053,
692,873,755,298,102,023,641,426,742,995,102,587,556,025,889,481,471,285,047,
093,718,230,683,050,561,146,787,368,040,186,229,157,939,260,764,882,347,735,
102,166,478,640,981,045,168,376,908,872,824,047,508,867,861,190,818,527,688,
015,770,741,310,909,995,418,436,942,202,711,297,202,378,724,909,243,964,592,
747,674,451,782,688,803,287,834,511,184,764,346,301,463,006,132,852,650,470,
224,754,827,677,308,669,808,497,276,505,359,349,750,129,522,580,128,094,849,
128,771,368,333,373,390,600,255,234,369,710,068,826,980,843,784,062,026,585,
534,829,298,271,150,482,917,941,481,361,713,699,192,445,061,654,378,393,055,
652,541,581,009,076,483,619,757,507,927,037,665,192,301,099,313,459,108,483,
532,200,130,877,752,992,598,608,949,039,974,813,356,191,054,254,310,846,667,
283,633,671,230,504,349,118,101,375,625,028,417,087,898,219,883,335,152,326,
711,376,476,505,656,737,406,634,165,085,504,110,246,306,699,841,999,105,333,
380,981,491,409,252,181,133,882,943,297,218,421,161,450,177,158,664,446,597,
106,043,568,013,399,816,012,707,176,628,099,842,290,406,522,700,095,255,274,
830,353,637,718,979,401,996,652,345,308,707,014,868,333,389,684,967,440,433,
956,306,131,262,198,284,865,472,687,483,246,045,761,409,638,529,313,163,109,
024,526,676,956,914,870,655,318,826,734,040,894,578,470,347,659,083,277,134,
200,878,962,324,810,950,764,384,831,377,385,680,015,395,923,540,966,732,555,
971,390,487,114,640,240,456,180,294,188,497,578,771,690,033,063,639,563,155,
252,279,158,700,429,391,078,103,641,632,000,473,332,571,915,831,853,883,782,
288,393,945,668,413,855,318,745,406,049,070,701,339,910,783,669,739,921,272,
647,364,601,990,689,554,276,680,369,906,834,921,156,457,857,761,175,618,188,
301,908,974,563,364,581,036,157,631,122,959,049,295,769,646,325,519,932,876,
334,337,581,953,383,209,582,693,627,535,915,087,254,926,507,547,917,887,057,
241,106,995,069,358,715,210,388,738,253,135,416,559,460,916,250,892,371,355,
738,829,533,218,108,846,531,883,884,339,846,989,844,773,561,194,936,501,017,
386,505,602,717,251,996,660,478,584,596,295,970,903,118,534,528,180,322,015,
246,231,556,736,559,847,107,687,344,755,514,449,668,219,536,284,880,307,721,
601,500,309,011,809,138,480,539,625,413,851,338,988,767,628,630,208,898,783,
746,021,604,569,423,464,768,736,880,580,905,944,083,541,253,142,628,722,089,
826,365,241,678,126,458,767,143,408,745,027,024,104,196,797,572,896,352,269,
881,304,269,174,283,716,372,102,363,856,880,536,019,356,489,151,643,537,206,
264,643,997,081,661,376,577,102,080,248,258,076,508,878,501,198,481,957,244,
118,577,368,860,456,641,470,436,022,804,416,699,245,137,509,324,505,792,181,
778,131,946,940,631,074,403,609,569,759,086,556,413,567,565,490,754,255,275,
091,570,931,787,352,246,030,482,250,576,012,365,713,651,829,430,905,085,023,
822,279,036,839,441,311,835,368,502,426,291,181,691,368,030,785,853,996,243,
701,684,421,087,434,186,225,358,548,702,093,802,559,296,665,818,437,604,164,
773,365,845,579,721,639,276,477,291,710,302,670,647,416,729,938,375,100,552,
362,516,945,505,371,690,644,898,251,255,175,975,062,597,018,802,840,549,980,
944,902,919,350,685,431,854,932,733,364,433,825,424,692,435,798,692,574,806,
852,226,234,299,977,339,674,362,606,399,211,934,169,461,955,023,783,210,959,
384,306,347,093,203,421,754,746,858,427,991,058,823,028,551,055,157,800,303,
768,109,636,831,520,339,513,860,745,171,774,281,967,809,451,395,342,371,739,
668,872,338,711,510,256,176,298,402,718,977,347,247,261,839,690,838,914,635,
046,918,965,855,291,960,187,516,032,612,545,131,805,383,986,635,202,315,415,
693,628,439,092,546,236,809,342,941,147,840,784,790,004,520,168,154,763,038,
759,081,359,127,783,394,792,674,091,013,486,037,089,933,068,246,509,679,127,
981,217,969,263,021,774,326,311,429,964,213,737,842,347,822,871,499,133,934,
407,077,627,265,832,340,278,298,722,090,223,208,202,675,333,412,295,116,544,
428,487,698,906,884,884,477,311,817,630,367,763,689,635,639,229,185,088,769,
778,593,402,632,242,633,900,951,698,179,147,257,051,217,245,773,277,010,814,
272,060,433,035,758,645,339,962,767,740,502,820,117,659,688,339,676,933,298,
815,783,630,825,963,668,068,218,385,006,210,050,457,941,963,390,719,163,794,
897,443,106,438,744,648,164,691,170,523,761,691,175,606,648,913,941,619,751,
035,291,263,437,865,095,503,955,652,471,332,402,134,188,517,756,917,190,688,
658,475,845,026,083,737,604,930,350,077,437,340,570,535,671,309,067,604,275,
602,092,059,580,918,805,748,263,551,423,328,974,768,713,911,745,238,666,715,
103,197,028,610,932,976,347,746,810,735,191,391,121,062,203,447,861,679,084,
376,465,394,188,754,608,485,108,993,434,383,144,316,787,554,429,943,519,074,
275,863,615,999,337,456,590,784,315,690,546,580,864,785,552,880,067,489,703,
210,012,156,359,220,951,056,097,483,694,850,247,746,266,881,028,711,605,800,
499,033,326,508,663,093,527,813,449,986,803,307,588,196,747,641,408,188,369,
753,741,602,371,486,394,474,879,199,431,924,221,918,184,849,193,624,862,686,
040,164,260,286,375,583,502,958,697,125,742,682,720,638,047,819,476,444,401,
407,633,224,357,331,424,508,924,668,854,436,301,766,790,062,278,983,537,101,
017,117,037,722,733,789,598,219,956,270,047,824,531,862,792,163,318,347,925,
044,586,370,471,637,959,458,516,918,134,902,557,475,434,884,956,871,465,245,
326,429,063,360,092,954,116,786,938,161,399,823,960,478,286,449,851,509,955,
258,415,115,022,568,590,478,053,812,008,326,458,691,035,953,493,616,877,704,
309,650,504,587,497,027,787,132,369,102,005,273,953,617,405,417,353,534,042,
967,144,246,572,274,629,555,667,757,498,300,745,021,576,357,440,604,185,896,
131,647,211,585,294,674,394,109,825,575,534,602,776,603,089,919,688,388,716,
822,554,033,352,399,977,727,090,591,807,419,172,653,598,861,235,019,740,888,
099,266,475,983,297,862,580,007,043,104,736,172,981,726,850,462,372,318,491,
379,225,701,819,138,245,784,449,792,811,948,808,535,324,572,173,118,165,059,
464,380,836,053,258,135,623,908,976,281,962,020,880,928,140,997,842,492,831,
252,269,064,192,666,246,566,464,594,099,373,724,546,521,226,657,356,285,580,
853,971,938,900,994,133,003,223,518,094,531,238,453,760,690,144,575,469,897,
584,633,596,493,928,063,835,966,619,475,259,465,188,193,653,330,360,738,934,
074,112,781,418,032,450,547,580,654,527,958,616,617,664,082,984,992,514,925,
848,427,205,858,334,061,243,742,089,424,760,386,756,307,542,084,779,136,131,
759,493,323,244,017,624,540,653,702,839,154,113,575,102,124,067,207,536,133,
635,420,008,228,280,163,349,924,219,270,043,054,177,361,757,810,846,351,391,
143,899,831,275,023,859,024,972,131,124,425,942,465,589,634,404,273,518,426,
606,407,405,661,756,469,454,701,798,265,895,694,581,596,112,256,474,191,555,
824,153,642,610,742,637,464,219,601,688,515,551,396,132,619,580,063,978,473,
572,558,174,150,982,800,278,258,594,570,653,400,587,169,895,920,761,077,673,
994,484,451,499,652,617,692,893,845,378,941,496,643,733,163,006,567,353,325,
997,731,988,324,594,619,505,304,279,181,259,053,324,897,302,682,562,002,356,
958,614,349,390,802,519,247,896,075,068,908,030,078,389,480,972,074,775,982,
411,874,612,798,185,070,190,697,092,442,869,457,073,619,351,260,411,394,844,
025,108,919,526,740,332,902,732,695,849,947,910,711,460,058,392,257,917,087,
044,158,988,945,420,133,168,069,703,385,645,311,700,002,028,103,681,142,285,
522,161,807,741,712,806,009,201,484,482,833,380,316,073,527,736,933,073,343,
775,547,644,485,159,121,797,022,647,143,140,993,751,046,474,602,930,289,365,
909,051,102,056,582,480,448,094,191,146,121,246,744,331,341,233,285,510,531,
959,047,461,461,712,865,767,603,291,388,151,931,399,495,290,493,481,130,798,
429,190,969,299,390,829,711,574,961,571,205,107,073,684,832,332,278,300,256,
722,513,417,934,501,376,377,603,477,888,934,592,549,024,957,396,724,716,334,
706,908,503,596,621,568,826,355,726,773,777,934,294,580,918,239,128,099,715,
795,835,439,866,663,299,101,328,042,785,559,954,348,093,392,990,615,348,872,
038,476,283,964,181,315,626,911,954,208,335,927,985,226,966,848,921,138,843,
381,490,984,551,257,737,810,974,180,591,673,115,064,667,242,628,501,800,201,
903,112,181,947,351,600,323,444,452,883,916,561,792,046,376,197,331,921,223,
031,869,993,407,974,940,268,379,372,308,593,921,583,624,258,997,329,179,982,
403,647,318,131,156,723,129,607,335,218,246,235,317,347,080,077,196,987,301,
978,524,946,315,345,863,461,296,335,109,301,297,426,603,495,341,197,242,202,
765,274,753,797,973,318,637,682,048,002,893,131,978,868,284,956,329,324,209,
307,071,675,014,864,666,563,642,681,091,331,397,247,051,915,643,543,568,676,
005,485,798,132,636,333,626,909,255,707,654,173,731,486,883,473,342,960,796,
538,143,428,234,686,804,359,080,340,602,259,884,910,322,204,944,079,520,489,
374,549,029,169,058,143,929,685,726,022,066,480,291,868,646,091,800,132,009,
581,978,428,008,688,102,208,769,573,175,883,635,739,820,162,138,017,622,714,
797,528,700,367,316,433,608,345,404,847,898,811,781,128,789,260,696,826,658,
579,891,024,149,501,872,996,979,966,753,502,582,998,070,334,011,341,150,229,
532,497,029,365,592,094,947,457,199,927,742,658,805,129,580,844,349,890,144,
549,721,817,023,523,031,319,510,810,300,762,382,756,350,651,998,076,890,797,
209,310,310,082,641,896,168,872,757,701,053,706,693,133,496,625,127,273,249,
136,016,468,860,624,251,716,255,784,587,171,609,383,845,507,271,638,516,257,
300,256,447,319,067,494,314,850,691,504,760,056,790,434,102,219,875,586,902,
456,096,960,565,241,323,280,129,937,283,443,518,593,308,583,116,284,225,404,
527,301,365,061,733,141,850,254,197,241,186,171,914,181,118,351,001,878,980,
988,937,482,722,178,511,579,967,157,398,967,307,987,160,159,347,262,688,538,
783,359,979,338,125,386,763,617,521,786,820,850,083,702,534,624,903,497,819,
873,959,378,393,555,451,834,323,067,721,618,150,161,852,229,689,721,859,222,
449,177,311,775,132,501,252,062,023,444,858,384,633,327,053,916,727,374,098,
901,612,857,768,785,665,480,092,129,921,745,453,079,434,760,064,571,844,028,
224,221,289,552,486,081,669,250,830,547,451,007,428,523,810,147,212,178,204,
978,124,046,401,261,306,965,677,842,967,220,836,729,766,339,734,054,440,097,
465,436,737,817,669,693,116,357,750,900,905,618,409,076,674,789,870,843,210,
824,139,222,313,747,828,647,225,159,385,962,623,336,023,407,530,031,523,481,
337,773,837,787,463,388,943,278,878,105,954,305,121,471,065,713,654,932,855,
129,557,765,029,542,875,188,403,412,870,867,269,330,870,313,228,834,182,873,
556,729,675,853,086,719,956,177,957,545,415,879,746,655,210,307,347,039,033,
236,944,022,472,150,115,633,985,925,930,921,853,839,932,640,652,369,428,572,
694,301,147,417,956,067,523,748,873,464,755,070,810,223,268,557,175,734,483,
173,166,605,309,916,904,339,277,008,257,718,300,330,387,715,709,608,466,547,
811,750,086,083,361,440,082,203,386,868,850,796,529,304,217,968,130,833,546,
688,144,390,894,825,679,067,037,332,710,714,832,634,856,268,464,618,182,050,
157,606,026,956,581,373,338,105,234,562,489,762,019,413,417,018,317,460,040,
912,957,089,825,721,051,574,191,019,841,231,849,440,848,256,147,722,677,578,
955,177,067,344,307,259,046,608,836,299,179,822,211,080,440,578,872,920,892,
780,489,594,422,947,630,326,753,163,986,461,901,512,898,445,190,488,731,646,
998,461,643,685,778,531,030,135,714,459,005,446,042,858,541,317,630,038,895,
324,256,388,633,342,771,537,101,921,863,262,085,258,051,214,952,106,331,388,
019,735,734,752,828,652,786,606,593,009,644,664,182,781,251,979,440,072,413,
711,460,369,456,077,936,709,552,609,806,130,804,474,965,626,882,943,449,746,
838,480,802,875,689,311,175,335,817,700,867,170,149,316,226,776,289,471,576,
011,851,938,661,415,155,826,561,930,209,434,795,306,114,609,698,870,946,126,
693,336,274,595,804,606,450,915,595,024,258,185,853,934,421,736,747,516,145,
299,044,417,466,667,404,393,816,385,825,946,850,893,707,888,694,641,201,804,
660,989,867,385,579,424,577,199,087,446,410,033,135,103,857,483,214,972,913,
987,459,801,160,107,930,987,807,347,943,401,621,644,199,274,470,784,772,633,
357,270,900,989,359,257,827,488,217,395,583,060,872,932,413,363,392,068,169,
233,758,554,528,720,946,224,018,377,449,687,368,695,908,344,130,593,668,471,
791,903,470,947,261,299,551,204,075,181,585,530,241,124,465,009,899,144,696,
288,695,001,238,900,436,969,451,780,741,175,966,127,834,481,810,180,990,700,
591,013,438,928,856,706,936,167,285,354,351,161,885,268,580,808,934,200,695,
449,981,393,925,919,915,561,844,757,599,658,706,985,544,432,885,877,641,455,
382,545,751,461,525,024,237,031,719,894,508,436,060,239,394,194,609,741,584,
120,042,664,167,666,268,679,594,482,978,823,238,033,559,561,199,248,260,050,
782,102,875,710,093,161,138,393,445,463,644,239,919,829,455,734,044,449,018,
163,865,843,013,766,662,577,556,115,051,737,407,083,655,943,463,793,689,023,
250,123,054,843,102,026,068,849,341,942,979,497,123,669,816,078,194,806,424,
467,173,303,262,325,644,670,276,330,496,836,030,259,105,458,609,311,325,588,
942,815,218,439,651,663,125,498,003,853,399,766,672,258,723,622,046,080,357,
590,361,166,102,105,653,145,931,239,171,551,587,095,957,664,610,708,090,486,
577,605,628,103,748,498,158,076,675,580,343,671,218,859,832,105,457,879,345,
684,070,459,740,637,627,996,443,604,547,938,373,197,685,798,977,482,683,742,
745,684,373,870,201,275,400,040,806,501,258,666,780,014,717,198,773,403,976,
741,213,492,056,691,578,984,473,159,267,835,893,899,929,782,372,011,018,245,
515,298,796,575,946,482,470,347,995,972,425,912,015,928,349,251,159,002,404,
638,901,677,267,623,658,321,766,428,838,174,818,333,252,891,285,424,631,679,
947,916,131,065,696,734,746,001,764,622,943,934,412,963,901,572,714,460,355,
502,942,338,818,128,535,757,431,573,724,918,326,081,068,857,315,980,088,699,
383,219,199,791,538,952,557,386,609,420,901,512,047,650,097,377,227,041,488,
591,989,356,477,625,208,886,592,715,153,357,897,787,702,380,266,024,440,207,
665,093,187,116,594,068,953,235,017,360,028,335,154,690,920,474,249,342,595,
556,869,878,098,150,483,042,890,668,578,788,532,560,004,195,016,527,841,144,
932,609,732,110,119,585,394,033,041,072,644,962,693,520,033,958,125,272,412,
804,463,964,633,985,189,179,828,191,441,604,861,452,788,962,821,677,613,402,
293,650,502,789,639,386,804,832,686,139,912,780,104,764,334,918,660,280,219,
515,363,114,979,187,235,460,698,861,118,179,675,713,699,512,286,964,445,093,
617,653,813,127,376,486,179,417,140,015,812,859,773,028,869,571,203,866,987,
880,436,356,853,189,923,737,376,736,881,235,746,407,481,305,732,909,471,806,
280,582,755,558,608,021,266,922,312,216,249,486,140,450,191,975,685,638,167,
740,247,466,884,224,610,394,904,282,600,213,869,328,280,812,298,351,907,870,
064,429,414,698,263,332,684,023,558,459,897,974,881,719,364,534,397,760,323,
475,745,593,591,271,679,010,547,546,329,265,243,430,687,887,913,171,746,023,
720,454,130,673,053,469,097,205,424,792,812,150,484,978,631,057,139,762,719,
499,591,585,843,331,462,105,278,124,308,977,284,814,420,964,294,720,413,451,
320,596,716,477,479,954,870,153,344,360,997,375,206,776,631,623,758,497,708,
421,838,681,307,970,904,578,188,678,355,767,064,576,796,948,254,487,894,626,
679,396,741,737,432,866,884,876,624,621,810,941,068,749,028,988,833,054,779,
702,739,127,366,116,768,778,810,853,870,900,440,113,277,670,467,886,972,244,
812,375,976,167,070,200,608,580,387,737,317,248,275,699,551,518,253,707,460,
758,415,161,138,030,311,805,808,504,513,306,018,944,722,242,091,600,706,443,
536,459,953,320,129,085,382,801,982,488,488,584,530,912,205,327,652,995,316,
123,993,779,613,675,646,083,270,812,390,379,560,033,462,651,184,066,382,808,
457,010,252,417,144,758,136,404,130,068,152,079,063,781,004,486,753,535,327,
233,214,114,262,284,568,470,301,143,763,251,733,971,208,722,173,332,388,485,
308,861,514,377,547,140,217,474,864,120,359,675,908,888,852,460,734,812,270,
548,546,554,781,464,047,890,837,210,641,566,594,664,310,593,470,861,042,899,
373,015,219,006,025,405,200,523,414,290,021,303,522,590,823,337,413,766,297,
523,784,594,474,513,828,824,725,402,980,287,360,111,462,588,107,527,812,817,
323,554,358,010,578,333,176,545,557,701,601,519,576,791,931,053,276,641,032,
796,224,691,494,695,257,681,011,325,426,710,866,506,582,173,542,002,826,428,
201,471,002,698,336,359,815,099,503,919,895,106,729,504,128,365,160,836,340,
046,070,937,342,178,293,960,219,440,488,878,918,586,788,580,916,958,202,006,
458,450,790,705,322,146,414,201,874,324,404,166,063,550,055,379,989,012,169,
110,158,665,864,067,182,120,026,957,482,725,890,188,516,165,689,548,372,789,
612,341,562,982,702,276,571,423,160,300,834,523,521,404,505,776,488,813,462,
324,440,769,865,687,170,541,556,810,707,632,372,258,870,760,772,215,043,608,
792,778,458,328,099,451,972,239,440,997,746,885,869,914,116,523,281,004,161,
044,436,137,655,481,647,069,872,238,455,013,128,788,440,481,053,311,248,067,
874,760,669,874,790,570,055,224,836,871,449,310,720,162,362,527,059,979,902,
772,260,622,633,343,853,995,826,359,549,808,943,492,080,306,962,332,230,355,
797,613,576,097,398,383,129,370,852,578,882,958,152,819,205,901,910,047,631,
056,899,860,499,521,784,848,505,099,276,323,206,295,610,163,221,866,129,786,
073,618,994,267,432,307,322,082,525,913,465,185,610,616,011,298,411,296,864,
133,391,065,315,112,098,204,619,162,548,493,249,197,236,183,238,431,274,497,
823,987,925,510,408,381,859,820,337,507,814,195,464,926,737,715,511,183,136,
766,179,194,186,070,469,681,041,655,767,280,098,045,915,400,895,487,501,780,
361,363,469,000,975,510,997,744,462,778,931,996,835,139,577,077,936,340,423,
722,084,503,289,289,501,321,302,840,912,384,572,654,156,721,095,268,441,973,
916,083,120,493,443,967,858,602,014,776,762,518,552,368,711,162,221,746,577,
518,957,198,403,165,228,831,695,423,575,990,662,459,116,033,566,117,205,657,
489,570,218,144,377,169,763,728,766,578,093,980,688,352,302,723,130,595,533,
150,959,956,977,696,390,590,148,198,869,241,971,098,266,424,563,349,316,891,
857,939,989,521,540,538,877,785,049,114,859,725,891,722,786,600,364,584,079,
400,409,205,107,864,374,075,181,317,729,955,930,720,393,502,163,139,002,997,
218,176,735,678,194,214,195,330,504,266,503,857,986,346,719,076,834,833,283,
444,036,917,451,678,358,773,408,515,000,770,146,157,539,477,262,770,473,075,
643,306,467,431,446,698,239,530,733,664,336,745,020,603,616,561,198,009,794,
835,458,738,041,635,016,094,329,985,631,854,629,596,828,188,853,962,957,703,
745,119,318,993,998,396,365,842,653,324,392,462,194,738,295,746,338,519,884,
251,201,651,630,727,274,997,634,695,362,577,718,030,655,017,294,982,046,002,
170,292,188,242,867,244,894,275,347,955,039,781,235,355,322,550,115,119,695,
832,759,158,931,790,065,154,378,703,012,184,001,136,315,657,769,881,665,100,
528,857,760,536,723,356,325,888,315,393,584,803,424,764,350,968,449,341,706,
843,329,842,310,923,116,041,615,603,436,573,246,485,970,172,694,185,197,042,
830,609,798,671,735,508,743,264,957,436,614,665,067,649,308,334,784,868,189,
845,912,091,266,660,567,765,821,854,516,840,289,338,424,947,480,898,326,928,
249,858,782,929,032,154,868,436,812,199,265,416,375,208,921,745,542,993,662,
896,869,821,931,218,133,326,512,867,858,225,256,074,175,776,326,952,177,774,
998,411,478,503,415,333,819,728,876,750,236,824,114,844,119,122,704,830,290,
591,680,944,256,586,591,847,920,090,782,502,435,175,024,414,189,841,364,380,
305,644,107,070,806,145,117,040,709,977,978,327,522,566,812,703,455,454,241,
932,263,577,502,856,721,800,407,301,188,009,767,729,377,063,151,901,449,039,
038,822,388,339,774,911,346,329,174,944,927,159,396,279,185,748,143,774,417,
284,036,208,967,833,823,280,333,386,363,590,456,101,327,777,034,194,101,488,
303,689,750,857,676,500,168,707,116,704,981,406,926,259,993,017,461,872,127,
563,511,772,041,704,220,258,695,145,650,309,908,630,769,321,058,426,243,505,
682,644,125,810,413,357,394,870,926,485,067,004,257,463,261,422,768,747,409,
420,971,114,309,023,722,761,169,051,848,642,654,908,488,952,876,965,251,527,
597,631,186,852,397,644,110,425,806,837,810,935,122,744,720,526,153,157,487,
129,384,500,403,220,314,481,296,626,794,182,461,817,970,312,153,657,159,849,
004,723,019,292,363,470,553,591,258,840,312,176,123,893,398,442,379,523,244,
519,140,413,288,397,724,133,319,433,411,454,311,168,199,831,378,785,818,338,
290,180,617,925,516,255,251,595,361,416,381,648,043,298,685,240,482,216,924,
270,133,688,068,080,783,885,447,098,993,390,888,131,272,071,753,212,254,497,
376,941,224,526,387,352,661,035,014,847,566,579,700,291,317,812,348,115,432,
226,509,928,950,329,649,667,021,487,212,555,085,796,387,750,273,050,682,456,
072,772,430,525,276,147,832,880,711,167,221,154,108,215,826,145,395,768,001,
254,141,800,624,445,297,833,235,229,216,426,843,933,020,279,389,111,716,183,
486,063,582,472,013,675,833,981,547,959,175,817,642,056,840,871,696,726,160,
347,851,236,632,461,284,108,059,219,743,095,662,158,248,539,648,719,460,253,
058,761,552,658,540,949,309,437,405,143,110,957,569,767,059,089,490,809,250,
451,119,152,646,386,918,731,823,062,048,420,423,682,434,963,886,774,559,451,
266,216,174,534,053,537,873,552,797,496,910,751,061,415,767,510,278,764,993,
078,668,389,418,229,694,049,827,830,424,505,610,887,780,631,843,520,635,413,
306,942,141,680,912,632,989,978,876,788,802,418,073,905,621,426,756,315,152,
531,763,692,829,651,591,827,014,690,468,386,980,876,231,788,293,621,279,136,
820,519,371,143,041,184,912,823,872,872,582,800,407,041,515,393,200,159,755,
018,478,210,298,420,535,754,439,224,929,085,450,773,034,791,233,085,453,459,
799,766,214,986,200,872,478,434,622,766,402,935,426,871,983,572,188,645,512,
306,660,102,221,033,814,911,198,345,229,031,870,254,075,395,018,658,846,330,
938,663,170,387,378,364,290,451,685,957,843,338,470,189,038,816,575,386,523,
887,368,393,915,706,787,995,801,125,817,845,302,627,915,212,953,154,873,797,
306,758,969,975,053,679,536,841,718,842,244,016,932,281,560,288,627,526,119,
012,782,922,743,162,946,963,710,966,865,018,248,181,996,889,271,214,979,973,
376,592,887,028,111,639,331,362,869,154,848,719,055,713,767,370,286,597,288,
307,972,761,375,636,113,087,118,155,919,986,064,863,034,241,286,061,893,440,
283,811,365,781,233,339,278,517,298,226,156,188,937,574,980,241,624,424,330,
148,361,766,524,626,825,865,077,838,238,095,273,955,860,132,530,877,454,372,
237,178,228,657,082,012,352,255,550,409,901,058,317,333,815,635,315,784,986,
079,001,598,052,707,199,303,574,173,728,040,676,271,302,386,001,581,469,127,
916,748,479,437,138,619,141,802,758,942,865,310,733,539,826,014,359,680,979,
830,811,387,496,858,994,930,655,006,600,604,990,188,844,976,011,213,786,552,
454,397,152,587,765,052,377,708,295,937,139,361,147,761,666,158,932,122,897,
025,685,258,573,424,151,818,191,653,722,434,647,856,329,598,415,302,912,579,
946,491,021,565,166,043,433,769,629,327,757,161,174,012,148,206,738,707,189,
081,219,190,984,688,897,225,718,440,717,330,497,481,616,068,222,620,109,224,
133,123,418,030,461,117,621,028,765,171,222,331,319,198,108,109,637,816,950,
480,978,464,102,810,191,660,218,931,512,850,241,376,688,324,855,500,629,347,
211,761,161,787,822,585,582,509,620,475,311,053,200,300,036,392,237,234,975,
791,107,059,167,686,526,086,551,425,288,978,381,407,752,252,423,637,580,701,
071,443,843,527,926,964,864,351,260,164,016,933,719,160,434,771,093,176,086,
634,714,025,919,468,598,745,126,319,434,560,268,540,015,397,907,127,694,808,
493,970,962,347,795,671,270,405,273,434,378,832,163,508,779,227,504,162,762,
126,080,372,424,995,418,227,085,186,503,636,995,569,447,300,714,285,126,449,
178,731,011,461,334,758,689,297,736,184,390,543,903,400,436,902,055,229,459,
502,546,759,866,560,954,866,880,720,634,848,511,822,279,712,842,897,350,070,
818,071,040,469,318,285,582,465,804,337,101,211,709,056,298,997,756,277,946,
959,352,336,826,415,656,874,785,118,047,393,207,546,205,591,680,658,508,744,
107,559,520,975,073,433,054,842,776,822,392,093,692,683,496,147,919,740,304,
104,789,827,708,210,061,061,270,338,948,702,441,883,712,461,909,456,674,603,
127,840,230,140,010,462,342,015,460,135,345,705,514,179,577,114,861,013,184,
588,181,357,969,271,433,406,814,499,363,227,080,773,218,679,778,178,694,923,
403,286,085,875,077,279,320,258,363,794,324,197,363,065,043,016,401,721,593,
444,248,931,102,906,273,832,246,923,766,728,779,651,582,168,400,292,650,830,
439,287,014,914,311,883,880,078,905,053,706,905,077,428,787,458,150,844,503,
341,651,105,018,989,102,647,263,870,193,756,189,287,263,409,633,285,766,088,
031,902,764,269,548,331,479,239,429,770,320,199,964,369,752,607,925,958,876,
217,594,319,722,554,903,165,103,994,449,845,159,494,775,030,876,127,560,603,
691,482,128,273,195,589,344,646,057,835,524,916,495,105,796,535,902,209,483,
157,001,278,610,209,961,477,880,041,414,321,011,365,719,189,829,201,247,361,
120,728,883,778,132,915,223,279,788,952,836,553,201,627,347,534,594,861,344,
343,632,609,921,701,379,756,033,060,198,149,607,681,385,273,568,076,032,389,
835,689,435,671,034,595,971,947,466,097,584,720,583,179,546,956,528,972,592,
045,789,989,827,100,511,599,120,147,525,159,121,098,038,950,883,782,484,430,
287,804,042,692,506,192,986,958,239,565,058,086,528,238,611,609,211,252,187,
422,424,060,460,965,651,614,533,463,179,566,969,288,715,196,232,284,693,864,
104,409,448,579,266,883,555,505,104,353,145,541,586,037,551,097,253,171,804,
404,448,411,756,649,741,237,180,700,201,947,294,980,598,849,658,254,171,795,
969,844,677,970,997,457,548,499,189,779,766,272,265,122,982,414,877,704,546,
405,835,129,497,395,552,037,255,507,502,195,840,246,934,504,751,856,383,706,
766,218,797,410,726,795,106,401,611,602,256,265,829,729,815,636,503,163,458,
879,105,796,092,510,070,765,267,626,592,087,930,479,352,082,952,858,645,358,
361,079,730,913,482,910,155,140,919,977,389,491,967,428,722,974,391,842,386,
854,537,221,417,726,850,207,423,769,775,615,478,095,897,591,306,878,884,497,
333,753,183,976,695,431,153,744,479,976,273,510,559,455,823,136,081,262,884,
000,503,718,910,452,963,681,682,451,223,651,188,427,098,617,322,408,378,725,
385,793,130,266,165,653,245,238,723,130,974,913,088,204,250,551,731,698,020,
302,607,746,026,756,500,857,012,386,439,627,179,188,202,850,758,131,558,043,
596,297,444,550,550,065,300,109,058,004,530,605,359,477,939,306,503,953,632,
132,311,108,721,091,018,566,396,658,978,552,071,858,177,342,861,726,731,670,
358,381,866,541,616,612,864,476,270,742,787,066,762,210,192,803,255,646,462,
604,169,111,531,118,551,567,791,642,079,888,283,720,243,171,738,873,129,556,
879,817,383,289,968,534,531,099,740,203,658,176,735,107,557,146,808,355,475,
183,533,659,279,712,578,249,806,683,930,441,290,060,967,201,259,691,249,088,
513,757,906,623,768,694,514,612,683,200,591,189,567,147,750,632,824,175,115,
366,617,441,750,452,766,803,844,367,625,233,596,415,121,618,337,804,764,209,
990,791,508,641,058,091,398,122,080,325,562,207,057,249,431,882,771,466,568,
775,655,313,712,848,567,258,375,207,343,128,967,793,566,401,498,336,572,651,
389,865,944,116,694,164,932,062,418,253,201,512,026,425,727,461,499,629,355,
041,385,059,607,275,185,273,239,183,357,456,653,665,654,413,785,269,407,768,
700,413,641,140,186,285,645,252,293,325,618,344,280,202,701,319,208,810,383,
666,069,189,773,454,294,796,558,962,552,487,140,483,615,106,134,604,333,474,
645,497,588,211,568,465,648,893,159,292,376,899,854,408,510,420,486,171,631,
879,437,533,783,340,241,023,615,477,579,826,571,499,699,403,837,641,412,477,
755,594,377,192,183,145,394,702,158,237,568,744,789,528,213,470,618,428,583,
758,413,181,201,103,103,102,932,074,370,246,164,203,442,220,934,108,400,906,
358,593,798,502,809,284,202,944,736,229,582,163,036,557,636,163,863,701,554,
106,563,744,122,038,417,764,968,743,506,492,441,808,148,613,446,141,643,719,
868,119,788,399,843,582,413,722,717,911,489,084,213,797,089,778,486,799,667,
564,325,700,284,360,175,807,335,627,560,715,451,650,239,615,445,418,727,763,
726,658,921,861,263,294,371,875,681,481,323,643,125,286,705,559,252,143,353,
343,691,987,985,209,085,965,206,507,550,019,699,551,338,346,311,259,012,186,
298,720,998,961,485,428,852,592,460,407,457,926,546,774,123,959,297,272,115,
768,180,957,665,397,951,651,736,058,850,470,676,994,792,651,845,064,830,837,
646,521,810,637,505,464,065,141,674,511,892,233,257,471,630,971,959,939,122,
166,720,862,870,046,902,244,185,043,022,523,704,422,987,559,837,051,557,971,
953,638,732,263,157,152,469,961,550,361,438,817,058,981,354,953,405,107,665,
566,756,353,463,738,435,969,473,876,411,205,708,895,825,241,062,066,613,403,
878,873,663,359,581,440,377,926,899,000,822,383,519,841,652,850,777,024,001,
539,488,305,505,174,467,383,628,418,890,060,848,282,521,195,174,057,097,100,
355,968,436,407,287,472,872,879,124,619,120,537,705,974,806,835,240,789,765,
814,197,714,937,199,912,212,601,234,859,703,337,541,046,218,493,275,525,698,
525,968,992,528,026,921,475,523,821,758,043,375,248,466,453,692,617,751,805,
095,013,267,681,141,690,462,252,119,379,001,980,974,540,072,892,968,923,079,
516,135,241,322,118,930,465,629,496,645,167,035,010,763,347,116,345,009,220,
820,020,506,065,380,919,378,377,737,665,427,220,164,438,639,190,465,710,297,
208,335,640,374,750,410,784,651,466,385,163,148,015,260,427,564,506,739,447,
156,976,286,497,806,717,817,817,685,288,271,922,527,586,331,260,602,883,022,
594,722,601,077,110,059,917,953,155,686,603,407,834,936,674,257,802,285,529,
829,263,614,064,718,084,226,528,738,358,515,467,284,843,633,134,969,894,596,
995,249,424,214,438,753,352,775,325,273,159,822,630,295,731,395,834,228,384,
551,968,342,716,871,441,418,429,588,242,966,266,179,050,787,568,357,156,012,
106,985,744,844,497,643,468,722,350,745,572,747,969,319,785,417,940,080,889,
813,112,066,681,840,764,679,973,115,685,993,851,541,790,715,960,498,769,638,
866,047,644,561,550,318,531,329,226,527,271,217,576,180,997,644,571,391,435,
809,837,896,407,636,117,479,603,974,130,158,914,320,943,443,417,144,378,796,
564,216,640,583,437,593,281,202,802,271,242,871,969,322,860,821,378,665,853,
402,085,960,117,729,747,042,666,256,181,821,361,840,822,746,119,636,463,495,
859,403,851,130,823,819,812,642,677,130,897,774,712,262,111,198,177,562,837,
102,555,298,597,002,133,544,206,167,065,335,786,714,696,038,140,837,787,394,
517,861,822,065,104,707,794,485,224,508,596,542,983,718,925,741,505,651,100,
051,919,974,832,553,169,174,114,592,961,908,215,921,997,642,788,947,812,782,
772,665,559,188,913,752,190,026,707,803,924,744,843,950,605,758,325,260,053,
185,578,301,455,193,995,200,922,271,755,850,829,371,213,898,093,847,770,206,
420,332,422,472,356,362,223,872,037,808,946,870,281,685,138,594,988,163,125,
461,461,870,528,693,906,812,980,226,248,141,263,278,732,402,475,457,004,913,
594,328,351,966,401,711,279,497,373,337,270,151,048,463,241,460,964,116,930,
879,767,371,793,798,107,376,175,303,718,949,946,160,411,005,593,246,869,990,
650,269,901,190,582,713,797,652,651,317,879,028,016,502,167,683,080,578,470,
843,791,848,537,208,021,257,780,778,130,865,823,069,874,712,158,715,153,385,
402,109,744,910,103,118,300,354,087,292,365,456,688,949,753,245,580,000,748,
563,458,522,153,459,425,012,900,541,698,007,638,827,816,834,404,133,132,510,
033,275,987,820,854,569,605,615,231,147,322,282,681,008,198,598,797,577,375,
742,261,592,636,645,015,542,025,442,195,777,065,787,844,474,932,701,709,651,
127,981,250,956,617,241,129,276,100,130,505,841,207,920,072,848,763,152,323,
680,249,051,529,464,887,840,324,512,036,961,243,092,947,624,205,819,186,700,
258,086,109,335,483,161,507,424,734,852,744,817,916,553,865,523,612,755,933,
114,888,053,234,248,472,313,933,995,339,740,246,986,395,469,384,211,795,105,
188,484,132,352,992,616,750,444,390,268,681,881,021,361,326,580,572,445,952,
351,796,245,132,910,761,099,955,228,341,441,036,343,385,384,151,835,925,794,
857,859,759,878,496,099,723,623,466,441,027,437,845,163,210,136,496,870,109,
719,659,394,833,094,143,023,409,966,183,670,952,256,262,976,577,446,760,380,
484,155,559,856,748,382,397,703,350,806,957,696,851,420,309,087,093,921,211,
921,478,959,617,943,981,305,960,349,838,840,166,715,481,579,836,888,438,577,
255,776,071,779,992,774,440,872,568,374,611,831,185,730,812,110,886,152,494,
632,843,102,866,468,166,021,616,470,545,625,745,717,224,363,353,151,625,886,
573,759,396,512,834,310,102,653,101,674,682,927,436,132,901,821,798,657,047,
792,050,389,259,086,227,090,764,779,249,341,974,400,573,195,327,096,238,243,
394,676,924,182,165,853,853,929,420,918,857,117,806,658,553,622,080,627,158,
124,219,716,460,615,825,075,731,989,762,089,464,689,199,044,835,586,305,594,
115,521,452,017,947,658,752,686,640,082,068,252,608,702,235,702,522,285,628,
217,957,277,518,794,482,218,847,593,634,841,259,726,342,190,894,135,304,999,
797,357,861,294,157,492,510,667,769,997,264,340,420,326,746,751,112,146,686,
718,023,485,249,267,951,352,739,540,737,898,387,694,955,430,932,039,736,695,
067,258,927,058,386,904,671,324,290,148,513,301,610,823,520,517,165,631,911,
102,670,577,735,047,952,821,975,326,311,625,208,996,293,299,231,023,922,380,
352,347,937,131,327,962,658,284,035,221,940,758,970,100,686,538,314,406,151,
123,846,502,366,073,892,533,258,101,558,591,669,292,372,131,162,527,360,884,
862,918,750,707,757,154,128,311,743,812,341,715,709,156,149,709,017,352,574,
969,710,697,846,677,459,113,759,443,349,217,597,154,006,552,285,974,289,562,
022,480,675,900,556,463,987,228,218,760,245,994,230,095,496,220,535,798,173,
030,355,574,844,128,238,868,610,475,074,138,441,889,981,988,959,156,395,744,
794,151,148,537,635,920,980,978,686,561,623,835,964,034,828,161,186,592,050,
516,321,671,250,678,553,996,521,801,680,360,787,862,516,611,552,996,232,473,
775,614,655,136,806,160,273,999,938,712,525,745,700,575,945,666,646,656,274,
059,087,411,525,384,055,565,286,281,831,325,795,306,537,140,713,956,848,192,
468,265,979,056,613,087,254,719,877,649,743,212,196,404,177,134,773,264,820,
393,504,779,424,282,448,687,934,941,529,829,082,504,358,402,261,684,884,098,
698,557,666,340,616,743,870,392,780,779,016,231,116,110,349,757,259,519,078,
339,641,706,123,774,631,290,565,433,243,994,170,641,315,640,601,155,611,192,
498,912,184,548,611,842,935,393,881,479,420,787,218,106,647,448,745,719,226,
151,298,852,341,325,011,670,243,549,120,886,710,338,227,525,806,937,034,640,
408,643,155,727,304,570,293,794,346,664,000,552,604,297,665,872,132,965,751,
231,160,950,431,538,351,238,096,295,404,991,752,491,222,048,549,102,825,247,
313,393,331,128,423,749,519,391,712,184,087,831,739,218,199,435,673,253,656,
565,106,508,643,246,713,328,733,625,581,450,066,423,794,881,864,408,783,940,
153,737,965,716,733,444,515,372,575,308,094,523,078,596,847,978,851,153,497,
932,502,186,848,926,442,254,687,948,654,479,586,352,009,885,004,747,654,047,
456,022,443,116,402,749,297,955,067,270,942,058,873,678,833,419,218,831,946,
769,471,771,262,480,522,135,403,936,122,618,618,743,428,225,228,380,051,634,
383,589,799,860,297,400,169,754,327,563,592,218,086,089,415,846,288,979,663,
424,502,005,759,737,405,576,778,930,041,666,069,397,100,973,632,545,070,939,
131,697,444,139,018,702,086,392,093,426,511,901,779,411,450,490,173,967,559,
767,718,153,074,423,203,646,114,163,326,370,204,450,787,466,720,375,045,437,
524,639,766,025,105,698,345,941,867,902,705,376,521,700,236,068,726,639,867,
376,326,770,069,550,702,254,553,076,425,999,163,594,874,031,956,574,272,496,
318,641,094,853,670,419,428,557,491,677,417,440,401,294,112,345,029,043,251,
933,858,055,919,991,032,619,406,890,328,752,882,721,422,268,107,191,816,339,
675,126,837,093,757,953,726,982,524,094,364,423,715,837,075,357,585,860,042,
643,874,521,954,985,348,522,060,588,505,235,673,448,871,139,601,065,458,176,
545,726,740,642,837,230,050,753,876,521,878,142,109,412,653,205,288,030,798,
950,890,247,558,184,093,811,050,040,546,230,472,605,537,130,611,993,363,886,
846,848,590,164,956,981,571,790,635,759,468,153,895,107,102,723,696,516,153,
019,675,844,273,964,251,112,511,432,487,590,979,997,171,853,414,268,508,195,
171,987,445,895,590,173,433,839,843,061,933,819,337,741,789,100,507,588,465,
525,234,374,214,786,849,096,736,815,060,107,110,383,399,637,829,869,293,414,
305,688,643,814,487,361,334,922,316,605,254,059,811,113,091,011,432,794,719,
611,745,548,135,236,048,545,134,654,356,523,078,893,278,650,975,467,102,196,
103,964,912,714,786,064,201,756,939,669,247,849,684,431,464,136,784,487,640,
118,711,173,621,068,166,842,137,438,091,840,045,015,452,789,385,611,153,700,
376,622,537,775,432,206,418,091,487,766,558,527,073,847,594,047,434,557,430,
884,754,498,326,335,714,270,588,660,926,879,368,146,384,955,130,127,166,351,
077,595,122,098,789,364,174,119,530,635,475,671,581,745,569,977,915,427,855,
471,436,761,708,036,302,290,007,509,776,542,572,667,146,325,634,727,948,780,
590,892,451,461,464,540,563,290,303,663,735,197,687,467,679,892,860,641,513,
265,902,144,876,158,289,094,600,023,730,739,035,249,190,849,795,869,222,227,
945,871,950,706,093,423,806,333,473,398,797,971,032,268,225,790,947,479,854,
054,284,405,342,813,022,359,932,068,428,787,393,450,456,203,140,613,501,861,
495,431,724,766,887,750,391,334,730,827,958,236,444,848,203,318,716,246,497,
618,530,940,387,669,146,997,665,436,935,294,670,894,789,462,831,749,210,792,
532,942,594,752,174,511,930,643,959,267,348,975,433,701,284,804,233,407,703,
345,454,599,131,245,663,864,279,262,842,555,624,179,984,679,004,679,039,289,
818,040,471,235,563,196,883,037,294,430,146,962,730,665,337,349,991,760,785,
320,695,413,915,281,436,467,731,389,533,854,245,881,082,430,797,860,834,676,
666,359,845,889,891,643,808,049,109,897,416,843,047,131,372,137,137,011,655,
156,461,326,085,392,562,357,520,842,577,702,577,783,821,960,080,582,619,288,
158,373,905,538,822,643,725,410,727,345,747,367,693,304,792,626,601,640,429,
582,641,571,597,697,874,309,295,227,615,036,275,735,843,762,911,047,785,106,
492,936,004,425,004,429,214,472,805,610,255,829,898,548,339,052,757,482,663,
768,100,995,892,240,320,225,256,481,142,082,658,140,621,060,541,220,691,401,
005,207,403,556,511,588,125,743,454,244,104,881,129,324,494,718,797,584,755,
389,712,633,148,264,249,489,238,259,844,572,547,615,473,204,728,831,159,442,
081,376,328,202,886,756,724,372,637,439,766,338,836,858,353,028,286,215,968,
043,222,194,625,730,818,420,382,769,310,940,384,494,367,801,687,612,287,830,
741,994,075,187,835,290,500,852,225,899,217,204,303,104,315,633,411,632,040,
563,323,581,637,540,637,344,925,395,667,780,653,637,094,379,067,729,772,839,
652,205,016,828,498,042,491,372,506,687,308,399,797,630,722,850,886,434,623,
811,306,987,655,049,991,551,687,990,174,377,013,791,414,765,258,021,375,618,
365,919,086,643,356,954,839,475,588,286,140,475,917,262,658,419,363,560,946,
536,328,078,142,909,480,899,095,615,575,290,017,806,929,679,354,494,984,015,
453,454,700,054,292,987,686,657,617,754,997,569,117,896,008,805,339,765,616,
622,536,924,100,795,776,304,177,085,426,129,793,605,576,849,481,115,759,389,
665,656,539,027,420,849,325,956,549,094,388,596,654,824,956,422,907,404,843,
717,464,064,747,532,060,572,191,280,362,119,046,603,843,129,482,562,200,169,
333,821,506,979,083,415,274,002,075,926,280,858,575,899,644,256,695,095,191,
748,692,731,387,367,793,806,763,081,274,428,277,877,649,658,896,033,767,585,
598,676,713,339,166,478,810,953,999,994,166,377,677,083,941,064,977,646,946,
936,457,623,005,123,948,187,513,300,121,840,348,628,331,938,721,692,237,076,
074,615,227,656,408,882,825,182,315,477,539,964,537,419,899,198,517,493,902,
896,249,310,868,698,563,209,878,478,124,782,875,942,290,672,682,694,043,142,
553,346,132,836,749,081,277,599,538,867,867,571,026,190,757,180,402,830,811,
646,786,823,532,686,321,710,750,188,445,094,467,270,349,057,505,707,180,816,
508,646,251,514,579,260,279,873,821,352,697,287,638,306,746,271,467,297,877,
203,272,043,002,030,403,229,957,018,102,547,798,989,399,814,284,277,462,389,
666,606,134,816,423,920,906,416,903,937,164,196,261,080,812,184,972,502,794,
686,346,264,457,823,686,422,286,721,600,945,757,791,581,874,658,998,558,466,
978,413,107,702,081,239,349,478,067,186,967,218,910,678,265,743,258,713,179,
613,185,711,774,290,999,738,039,748,208,994,854,444,501,854,653,568,112,224,
105,766,011,829,866,311,104,611,290,357,071,494,109,783,471,847,159,180,632,
673,375,875,181,784,386,432,934,261,699,961,380,293,892,785,127,900,909,272,
959,478,687,917,647,539,829,425,296,111,190,038,927,579,638,769,763,339,232,
190,727,142,116,073,593,729,774,383,322,449,078,925,301,420,730,413,429,144,
895,717,401,654,583,541,812,636,235,239,444,769,710,855,974,187,894,078,991,
063,144,497,856,444,377,292,712,550,783,121,998,380,966,881,707,929,539,179,
122,565,042,779,183,235,395,849,835,341,062,254,847,895,868,112,879,740,929,
044,682,988,486,522,361,174,844,619,432,451,873,364,562,519,250,852,624,353,
166,955,961,178,636,681,884,639,639,748,066,995,451,988,874,582,429,014,729,
107,729,314,213,763,056,246,643,114,662,741,572,014,355,177,898,014,773,382,
414,461,101,265,867,724,589,447,234,644,199,218,658,243,922,381,594,706,643,
337,229,175,856,678,365,606,244,502,716,596,494,250,507,155,583,965,113,673,
827,135,846,715,790,995,715,488,532,773,993,053,630,448,310,712,297,594,282,
843,275,627,121,505,231,199,192,897,737,185,855,641,155,853,404,973,043,152,
123,313,783,755,673,953,427,177,470,171,869,825,508,482,476,257,322,477,628,
602,922,886,786,640,664,468,218,149,279,426,507,437,491,648,764,492,109,072,
592,558,722,803,041,358,514,734,628,513,745,766,917,057,686,210,772,846,727,
800,674,156,612,912,219,586,698,748,645,111,340,048,530,778,214,211,271,059,
474,467,382,614,472,926,054,789,833,365,511,122,105,670,251,775,663,508,786,
630,904,417,718,416,573,067,498,946,613,736,872,231,889,882,090,854,193,352,
959,195,351,286,436,216,062,084,072,224,446,157,430,117,657,858,391,913,111,
944,257,525,513,001,944,319,005,984,284,754,356,905,030,136,171,131,965,598,
436,936,635,892,874,902,197,715,950,594,672,817,028,600,440,370,607,990,217,
938,158,007,382,826,651,523,152,020,256,687,105,176,918,382,292,950,855,439,
752,537,102,458,094,526,467,291,354,097,998,611,588,994,827,301,933,250,788,
609,537,060,920,290,711,302,217,032,509,726,421,650,156,496,312,774,343,325,
537,525,954,383,323,945,946,097,025,409,203,158,029,128,671,021,328,620,065,
740,424,029,774,206,359,264,265,997,627,846,255,729,663,525,008,456,513,068,
080,852,922,975,780,278,265,496,728,421,015,968,139,274,214,861,248,692,675,
191,973,594,286,627,792,760,041,972,094,869,730,090,225,555,111,201,214,480,
339,497,566,777,487,642,997,551,212,849,536,994,496,191,388,227,944,046,509,
115,862,279,286,368,600,453,629,874,520,500,349,326,448,397,424,672,057,858,
711,046,441,266,251,446,115,696,014,124,503,677,154,449,471,521,983,323,794,
628,499,492,724,435,828,506,001,136,937,945,341,881,315,867,256,987,530,501,
419,517,554,978,976,763,748,852,368,584,355,373,121,145,526,021,805,148,539,
314,608,558,033,666,664,221,172,776,038,818,278,373,444,165,291,626,808,810,
217,136,569,077,323,654,837,618,462,671,028,642,710,743,052,418,016,729,760,
397,334,746,327,063,655,373,018,275,875,690,267,710,390,163,637,974,933,285,
607,835,522,384,850,686,875,869,346,069,351,588,113,240,314,530,576,081,356,
282,159,735,270,735,895,510,528,534,076,932,487,911,707,619,060,821,491,872,
637,884,603,693,264,250,963,414,201,850,866,738,498,116,620,072,974,021,727,
521,573,938,712,316,765,522,467,122,793,857,470,396,859,540,538,995,542,447,
683,936,627,982,599,294,930,969,299,024,091,643,739,310,992,678,883,666,220,
477,432,041,013,878,933,711,551,961,741,110,989,532,243,906,862,095,558,253,
531,954,980,528,261,983,192,242,587,621,968,553,841,976,986,080,246,871,105,
230,804,254,983,432,649,931,321,460,014,307,210,625,706,767,791,769,913,932,
290,010,899,781,521,412,830,308,057,544,417,014,438,065,933,073,840,891,316,
346,861,217,804,096,278,637,883,043,076,505,717,345,637,148,765,044,343,338,
168,031,692,428,884,024,251,556,276,228,426,492,727,597,384,852,328,737,108,
907,281,458,054,325,361,388,667,016,574,136,192,334,419,997,850,917,690,686,
634,449,035,368,996,603,843,942,193,826,948,697,179,519,835,587,067,796,127,
509,112,285,510,032,403,336,917,264,221,954,625,632,077,682,545,132,732,165,
029,547,674,761,813,911,067,935,151,695,948,206,242,097,190,235,281,614,735,
361,562,447,662,445,474,080,983,866,117,457,099,190,536,843,961,596,456,850,
225,543,442,333,032,448,880,368,784,523,909,121,991,559,894,944,299,786,116,
906,390,549,970,425,842,653,193,781,539,030,006,359,038,677,566,910,251,654,
026,420,333,453,280,788,063,730,900,681,273,231,024,012,699,558,267,087,548,
277,492,451,515,127,713,581,939,874,424,735,162,975,229,624,275,043,472,015,
153,954,729,864,630,848,173,321,959,410,695,325,443,781,026,432,009,767,869,
223,149,168,652,828,499,632,316,453,355,414,030,883,736,802,438,260,471,205,
700,566,227,060,217,304,943,632,738,631,929,655,472,666,315,749,163,216,915,
429,500,732,493,364,119,250,700,743,046,168,875,844,598,283,582,055,463,165,
678,018,060,638,714,457,634,460,492,880,016,949,947,635,943,504,363,414,414,
288,996,187,996,234,966,737,672,116,915,212,828,597,451,477,116,926,244,487,
609,344,959,614,735,219,277,886,733,974,426,804,866,292,087,506,577,830,006,
846,371,762,951,073,851,045,545,494,478,515,696,901,922,820,577,378,701,230,
370,456,408,775,821,732,905,296,356,715,277,836,550,494,244,728,727,677,160,
025,308,518,443,273,512,278,217,827,714,512,866,775,406,890,543,204,623,044,
579,947,596,332,052,908,089,381,978,151,906,218,044,701,957,620,757,839,909,
772,555,840,538,420,936,442,779,958,473,206,879,942,870,883,801,909,354,505,
392,316,537,187,430,879,186,638,293,646,517,833,887,335,209,862,663,308,849,
480,820,228,894,269,450,272,174,903,254,292,943,431,494,563,909,481,219,418,
107,299,965,984,580,720,030,823,305,400,514,446,705,871,093,146,279,332,527,
688,394,294,746,698,135,566,620,515,020,937,778,989,555,051,525,480,818,088,
406,723,310,754,245,515,042,642,393,615,816,243,727,955,208,072,147,806,083,
382,834,278,876,860,349,826,577,372,132,290,728,493,306,963,675,957,533,976,
000,194,054,215,171,221,049,843,515,525,800,775,776,340,253,893,930,520,221,
151,841,767,346,518,724,386,003,953,444,752,514,146,524,052,403,952,789,674,
375,243,072,542,372,922,455,155,014,614,900,349,615,641,579,649,841,764,681,
076,432,240,929,833,171,265,318,713,382,734,546,124,194,075,915,639,135,404,
136,380,827,524,913,573,302,338,143,325,652,601,726,071,186,971,050,575,669,
315,719,541,977,004,564,680,835,922,244,156,587,434,479,390,854,014,260,458,
036,976,736,582,236,284,892,050,882,885,124,941,931,705,781,414,607,893,128,
331,016,294,891,932,948,949,806,511,510,800,682,631,474,613,798,495,217,510,
138,443,093,335,635,143,151,255,531,197,786,812,176,473,630,967,717,604,112,
594,502,875,330,960,855,987,739,503,398,168,313,970,437,837,053,539,973,261,
145,621,589,714,092,157,754,973,563,419,439,671,696,388,856,746,064,819,888,
001,556,952,142,974,551,037,505,021,860,128,754,504,614,007,571,817,049,822,
227,628,182,096,665,405,059,971,445,165,817,351,355,708,426,437,029,587,980,
549,283,734,987,576,377,001,174,443,338,355,097,372,425,136,270,343,368,780,
696,921,797,570,203,934,056,177,005,152,145,217,205,430,694,571,522,819,738,
789,873,963,306,738,237,954,355,552,456,989,909,899,267,501,430,737,024,541,
244,034,017,364,172,697,383,894,230,053,752,899,425,424,866,059,561,031,687,
794,282,852,945,735,755,148,369,645,534,175,284,518,742,611,459,706,585,522,
663,069,616,296,854,942,683,096,882,622,841,946,698,810,247,247,303,602,322,
724,146,918,417,831,892,635,102,416,123,024,880,446,781,799,591,834,435,032,
643,248,599,895,300,238,394,430,561,069,862,152,400,977,725,170,370,932,714,
965,129,071,643,151,398,932,440,030,595,303,868,872,603,489,157,218,034,664,
570,971,869,644,887,888,431,521,965,745,320,017,940,093,896,526,559,164,239,
339,770,157,001,966,479,228,981,772,153,209,135,680,977,322,991,947,468,424,
878,592,756,433,985,863,868,123,448,003,655,121,182,712,997,808,492,959,512,
916,582,422,104,902,617,139,596,765,559,423,378,189,110,450,309,824,361,115,
715,011,179,434,955,393,086,175,379,278,430,292,868,225,283,953,550,457,547,
283,018,735,980,434,667,215,218,704,956,427,109,579,365,840,423,525,375,427,
418,307,242,002,872,943,156,292,507,818,211,819,715,042,910,683,774,968,311,
036,334,787,684,722,474,726,880,174,643,300,019,699,675,469,229,756,453,941,
934,483,867,819,317,050,615,426,666,999,618,260,049,798,736,436,613,045,659,
745,730,515,537,470,987,370,457,911,814,528,194,967,746,616,573,280,378,201,
096,182,871,233,081,219,325,757,260,673,470,932,935,822,757,148,293,936,855,
463,533,692,275,024,657,790,049,823,180,212,404,447,468,562,570,319,555,021,
299,910,673,151,617,060,008,254,151,070,786,493,222,658,201,387,422,025,503,
111,239,751,213,126,490,036,253,173,799,457,651,598,310,244,810,371,242,369,
568,563,083,709,302,792,085,777,095,443,670,566,179,214,420,319,139,117,722,
786,827,700,279,113,398,818,153,252,703,855,411,516,183,306,859,001,993,738,
689,857,982,292,400,933,736,268,967,920,058,922,121,414,100,219,550,159,708,
658,001,397,917,816,560,269,678,959,046,463,322,552,146,650,146,065,037,959,
914,859,828,268,553,701,609,220,130,673,674,899,163,333,316,806,324,835,076,
338,172,474,494,889,447,738,638,633,002,276,732,356,315,038,010,162,631,982,
136,089,501,218,194,120,818,975,303,039,974,079,602,393,759,465,183,082,897,
568,825,721,809,812,886,611,271,034,943,386,326,193,070,983,030,452,764,805,
606,739,636,504,394,024,329,661,625,734,113,778,126,568,434,947,076,293,669,
329,395,001,753,414,972,668,626,653,793,960,557,856,535,717,169,105,834,556,
362,216,926,528,525,660,444,512,454,048,155,153,905,856,728,560,948,040,073,
170,258,568,229,608,261,056,592,116,901,193,133,402,427,066,237,298,552,914,
514,889,975,576,025,760,330,358,878,869,862,721,472,931,724,901,350,683,684,
847,124,178,769,173,926,018,783,840,044,886,435,445,288,966,439,995,542,788,
746,990,140,909,582,510,120,872,857,385,903,563,925,868,267,052,683,815,700,
564,374,505,570,495,288,143,973,318,687,549,171,875,477,879,392,998,864,706,
960,282,253,928,960,141,417,967,002,370,354,980,121,468,899,282,984,080,428,
027,203,539,865,075,140,521,724,622,410,661,034,088,116,261,303,341,594,010,
112,315,816,185,526,546,778,451,342,445,325,988,911,864,761,551,271,198,128,
046,533,024,381,446,893,573,276,003,106,731,859,651,979,218,069,668,926,478,
826,915,341,859,017,624,357,900,789,994,300,089,186,541,903,698,331,627,938,
625,818,873,521,724,209,030,900,185,041,238,786,455,963,398,652,140,031,265,
244,725,240,827,290,838,881,011,682,247,623,267,720,048,443,954,924,606,102,
338,374,208,201,959,433,463,096,660,170,145,969,960,902,226,135,671,430,978,
452,125,350,329,543,939,839,630,932,513,916,546,421,963,043,590,088,829,522,
422,442,478,326,967,602,591,515,821,100,454,807,039,840,264,123,884,798,536,
088,355,120,499,012,914,582,764,765,677,931,518,433,821,844,286,274,259,543,
421,650,500,954,261,458,105,023,723,836,957,007,076,408,404,297,829,088,381,
625,587,648,785,642,349,364,340,644,277,272,492,233,881,477,849,219,818,496,
885,387,971,045,876,290,386,116,695,336,725,428,445,074,902,707,707,170,849,
641,674,661,341,122,742,489,234,062,657,777,626,590,066,412,144,208,119,997,
046,019,116,330,674,576,643,365,386,982,136,544,948,401,722,072,947,905,519,
649,953,654,210,682,026,862,001,974,510,495,464,367,466,085,414,217,855,524,
166,470,429,565,232,573,476,690,294,776,477,692,993,748,634,817,986,979,899,
620,528,845,892,668,872,879,148,300,126,528,727,416,481,085,409,655,209,892,
891,307,449,960,271,735,808,413,168,703,457,351,443,670,347,764,668,559,454,
973,709,616,621,243,833,853,468,773,942,462,327,439,937,653,084,932,366,040,
343,383,933,537,762,379,458,664,709,518,089,039,511,221,825,927,481,405,758,
216,662,449,681,920,126,489,697,562,210,900,703,311,223,983,007,016,616,384,
628,990,581,634,811,243,977,118,571,422,629,430,459,579,262,226,300,866,971,
289,433,841,140,963,718,317,006,496,128,388,745,726,587,137,112,254,635,528,
635,425,635,673,945,282,301,503,202,567,057,962,780,060,512,362,580,455,274,
416,147,346,096,119,686,808,619,587,270,051,416,845,191,579,313,253,796,830,
496,217,662,383,915,898,955,149,160,791,492,422,396,221,201,082,945,629,029,
307,773,773,503,467,178,805,342,232,800,377,120,682,948,006,031,925,933,300,
530,434,635,332,409,397,632,769,400,739,738,167,048,319,527,604,323,878,171,
271,324,024,834,373,959,423,360,891,788,932,698,358,033,195,247,552,568,526,
085,279,426,288,661,559,080,691,242,327,152,353,093,363,028,111,653,894,211,
393,042,051,037,521,725,827,946,903,044,320,164,744,352,985,344,609,028,735,
601,052,997,827,583,241,811,794,943,324,389,147,843,537,269,233,531,652,815,
482,164,972,051,495,449,245,135,110,094,684,618,970,553,146,362,310,687,851,
188,081,413,260,436,332,913,974,541,095,409,905,324,514,233,775,490,353,364,
390,883,457,078,050,740,449,470,886,270,020,287,047,868,233,742,101,373,339,
571,684,287,152,955,535,164,857,538,802,236,954,455,982,021,357,565,046,756,
879,446,667,599,973,748,230,180,571,336,603,473,240,389,484,876,401,707,092,
299,721,663,142,404,524,047,968,313,371,666,960,475,531,062,849,383,057,726,
892,499,723,372,587,984,207,939,768,876,994,980,600,705,753,434,878,191,449,
993,271,537,951,880,402,535,010,895,803,202,344,511,273,866,941,025,304,879,
027,654,841,882,088,953,551,243,135,968,290,889,507,917,316,893,000,912,317,
487,644,916,125,700,420,944,767,860,921,361,410,106,567,845,589,345,546,819,
762,755,058,919,021,708,834,994,979,448,615,313,779,080,370,121,393,109,334,
369,634,284,328,098,418,955,369,673,478,636,245,925,968,506,514,572,774,366,
666,406,367,735,817,966,904,702,045,176,378,639,283,359,110,421,860,424,346,
378,203,972,049,847,400,078,813,129,524,497,727,338,409,675,357,181,614,069,
395,521,671,961,241,342,919,207,503,591,851,301,553,890,270,513,227,057,005,
946,050,786,129,047,992,238,601,694,220,685,037,388,952,071,248,603,630,839,
663,260,826,565,917,679,369,909,624,160,979,073,881,843,946,479,919,129,331,
339,555,415,107,096,582,198,667,263,740,581,305,428,939,080,984,030,400,616,
227,124,935,592,758,052,375,306,185,926,228,194,892,602,718,984,809,342,875,
510,683,551,597,606,779,660,714,691,050,882,009,055,366,405,210,307,248,936,
174,113,943,443,364,302,072,563,871,899,850,601,879,964,529,707,985,852,188,
993,154,277,314,007,874,528,000,993,198,961,664,841,077,845,268,177,818,680,
513,788,407,176,255,756,853,521,094,721,077,412,444,717,209,743,068,117,979,
404,703,185,711,944,732,692,880,942,711,910,993,635,859,412,931,404,479,560,
101,822,545,888,600,382,854,992,809,720,837,492,079,570,412,213,779,628,031,
504,005,723,633,605,313,343,308,947,461,048,765,832,133,758,473,197,778,940,
450,161,517,996,135,016,476,185,780,395,324,894,737,395,926,630,689,754,851,
524,411,994,635,188,972,324,793,454,567,748,739,801,136,122,886,277,969,104,
408,625,716,063,767,659,009,202,398,616,556,285,285,230,419,975,816,756,407,
067,680,000,952,050,419,760,380,087,600,834,461,214,401,268,339,390,683,187,
105,040,543,146,505,740,667,122,031,102,833,760,722,735,808,264,200,836,758,
321,224,743,372,878,174,625,673,172,215,822,003,950,953,909,322,901,764,776,
026,330,289,465,721,102,348,793,677,978,040,670,590,581,644,186,168,865,635,
162,613,299,079,204,564,744,807,136,360,642,216,901,188,541,567,762,485,341,
924,955,724,474,873,805,801,282,780,207,089,695,362,629,553,158,385,827,786,
162,900,802,498,514,572,483,280,590,404,970,622,198,402,255,729,708,900,159,
367,930,694,208,498,677,640,596,677,491,202,552,030,471,907,121,083,538,419,
316,534,280,627,539,369,073,488,673,431,762,995,279,014,884,577,461,156,580,
058,222,985,533,850,260,669,740,142,404,610,188,687,983,285,638,693,799,310,
775,459,464,245,227,880,265,212,169,428,042,877,342,605,124,085,756,163,558,
619,292,673,518,160,836,450,572,308,526,377,406,596,331,957,686,980,780,887,
283,506,867,131,825,106,481,277,914,673,414,656,041,991,911,933,911,813,018,
572,792,733,390,005,452,422,495,878,890,027,547,704,380,411,147,873,771,385,
275,578,809,990,070,034,682,768,099,162,969,949,362,666,663,839,331,906,951,
308,740,471,038,199,764,798,349,262,701,940,998,453,136,267,160,209,870,521,
608,303,796,291,392,014,253,248,541,455,165,680,810,142,986,982,229,515,455,
263,353,208,245,724,423,443,758,296,468,073,216,089,466,928,713,061,229,757,
478,771,104,661,841,242,982,492,289,047,362,677,634,567,690,318,457,024,219,
452,036,129,997,017,779,512,184,972,623,361,929,205,327,805,560,158,554,603,
373,354,315,123,897,054,457,715,114,509,422,568,457,903,234,553,469,560,659,
770,984,187,213,965,528,025,768,268,281,962,080,641,278,936,165,947,219,501,
678,152,644,368,256,163,737,933,714,017,963,833,277,987,442,027,266,436,207,
982,474,108,844,163,720,203,626,774,761,256,025,779,141,235,664,419,334,363,
214,252,366,817,610,512,131,621,360,662,771,001,524,922,018,940,196,902,534,
714,353,054,169,022,668,768,606,737,658,140,233,240,078,734,383,900,049,670,
288,469,970,322,103,495,839,461,666,359,709,626,668,136,307,057,391,007,107,
271,597,895,794,598,713,825,405,077,235,372,486,129,961,376,120,322,220,333,
916,438,395,267,762,707,311,784,240,032,939,585,448,190,848,142,634,574,877,
894,528,445,687,561,093,979,141,321,949,611,032,580,319,473,597,150,910,878,
731,918,037,915,061,846,602,087,128,454,636,233,986,240,046,963,278,813,990,
258,436,355,137,571,398,174,319,581,612,196,140,065,612,644,143,176,998,349,
021,324,932,382,917,288,262,408,108,598,569,708,198,927,482,452,699,347,588,
748,845,750,508,086,846,133,143,511,554,085,895,317,274,766,699,375,573,609,
935,317,422,013,696,781,999,342,089,851,239,888,832,230,879,152,357,514,047,
652,814,538,999,493,229,605,757,840,677,583,169,640,041,998,100,978,252,424,
972,696,882,837,812,427,942,936,272,090,220,863,591,073,481,485,194,095,128,
617,620,480,740,741,496,026,162,072,589,962,528,310,260,391,606,350,232,952,
977,658,619,819,543,513,937,634,722,940,348,671,466,259,720,510,393,522,174,
701,678,492,185,440,079,839,668,954,335,908,900,854,519,000,430,606,813,675,
195,032,039,055,504,491,316,551,147,029,510,504,945,385,634,127,995,043,405,
107,226,256,247,748,859,746,626,375,756,478,827,039,692,780,753,309,201,898,
444,785,608,995,173,009,067,355,791,427,138,971,207,798,190,120,357,920,022,
510,056,565,714,658,812,226,529,488,340,314,739,542,637,396,352,271,426,765,
057,839,042,095,716,303,924,483,728,856,412,984,928,174,402,380,327,036,378,
494,853,931,465,478,262,589,641,851,804,973,882,447,637,931,264,396,095,382,
595,342,968,448,264,532,422,699,708,040,731,276,439,595,278,190,094,668,211,
823,096,406,768,382,526,139,886,394,876,717,157,333,801,888,543,339,910,510,
950,021,717,764,852,496,476,266,769,530,156,056,988,115,447,663,671,375,403,
159,032,441,829,537,950,445,273,214,668,414,229,034,468,479,198,262,965,596,
238,300,733,780,938,692,703,118,391,007,154,038,147,790,302,463,776,327,596,
758,276,038,913,223,814,673,292,423,823,818,235,810,726,789,591,380,357,922,
503,864,691,863,758,267,721,003,568,835,007,046,205,850,396,131,466,729,484,
429,549,436,419,485,263,517,339,408,169,749,323,997,333,703,160,257,332,519,
532,247,942,454,753,115,806,617,819,320,834,822,072,191,146,275,710,777,124,
551,546,194,189,282,387,855,348,667,640,218,659,408,997,025,619,013,067,096,
797,509,459,775,621,342,879,429,829,036,656,786,610,998,802,085,347,383,940,
067,637,861,923,210,461,311,061,326,332,044,716,882,878,297,187,760,370,657,
445,185,175,303,356,737,543,034,735,576,525,164,544,481,783,416,685,734,526,
212,671,377,524,815,047,176,452,215,783,603,668,973,033,698,728,294,557,523,
591,261,130,178,020,924,870,245,698,542,052,888,970,498,565,856,092,526,502,
615,301,286,830,478,419,152,559,556,220,574,837,199,726,049,001,541,753,452,
015,299,404,218,410,890,865,546,062,960,229,522,127,515,720,842,695,213,622,
638,936,200,414,078,698,212,300,436,028,971,549,037,001,637,131,760,033,757,
694,463,153,528,554,993,534,421,709,435,643,355,331,887,556,862,224,259,207,
006,134,817,075,553,819,698,658,378,741,589,659,519,465,845,272,807,623,008,
568,529,351,815,858,014,037,801,162,675,643,878,153,132,425,925,384,255,126,
588,693,817,243,518,157,340,786,892,192,737,077,667,077,587,937,762,622,787,
737,654,529,801,055,716,048,131,595,469,087,154,357,877,930,013,255,814,613,
457,094,785,386,125,041,455,480,557,233,633,033,180,938,653,291,752,431,314,
811,873,866,998,256,300,760,361,260,722,652,032,711,980,437,397,092,294,120,
339,569,861,110,014,240,804,351,545,648,083,266,767,078,043,159,173,149,566,
095,593,424,297,722,479,940,026,015,000,853,062,674,711,453,827,882,778,360,
870,132,380,796,760,727,870,507,698,829,831,530,846,856,832,180,300,269,112,
618,462,108,028,599,945,827,798,470,677,724,846,442,659,068,145,809,679,109,
642,247,064,380,710,083,446,807,506,128,116,837,136,777,965,226,187,266,867,
530,445,357,301,522,738,322,357,910,363,009,280,092,998,826,458,582,363,867,
293,258,414,967,803,270,328,763,664,517,764,576,257,107,605,781,967,262,473,
223,080,013,587,954,945,818,138,597,591,904,866,513,290,462,544,214,250,729,
269,754,274,363,855,331,584,820,716,656,049,541,120,805,391,687,294,659,136,
489,551,098,139,854,679,708,467,103,223,485,948,133,086,144,493,245,079,970,
424,325,396,512,938,821,869,742,050,385,317,389,170,089,338,701,415,895,594,
960,715,971,316,385,616,175,178,281,503,490,123,240,353,014,923,619,379,415,
030,091,590,183,116,223,943,223,544,024,588,887,305,872,485,861,269,254,990,
743,638,278,403,793,085,624,443,446,653,092,861,673,537,126,437,521,070,991,
213,306,220,829,775,617,233,400,770,211,904,542,423,701,745,655,586,308,373,
185,353,464,416,207,557,668,731,901,592,631,695,446,503,890,269,804,394,429,
915,768,969,504,100,607,470,543,701,805,561,194,776,512,727,821,379,549,384,
051,364,965,388,503,440,264,050,022,571,817,624,683,921,284,742,220,368,950,
971,538,107,249,697,879,116,418,234,655,290,897,512,500,708,126,041,249,622,
095,159,509,670,283,387,304,365,981,816,740,698,614,866,432,709,254,541,693,
898,613,143,965,633,509,258,620,792,271,453,455,880,153,131,325,868,891,569,
509,738,571,815,596,328,809,296,794,418,186,153,311,155,070,764,054,494,645,
282,891,575,702,674,150,922,135,711,251,587,581,350,460,140,901,598,928,775,
908,157,266,258,236,305,083,174,806,632,504,133,238,486,100,638,680,774,588,
259,127,118,919,914,513,040,573,682,142,601,083,218,881,965,278,841,176,378,
453,261,442,851,889,642,282,103,964,599,546,246,201,562,463,944,777,403,859,
299,373,824,220,526,998,642,168,523,332,896,327,277,704,125,982,151,274,864,
505,971,156,275,852,273,685,728,221,656,488,560,615,913,943,873,207,011,196,
855,579,029,020,363,864,339,212,417,951,955,995,305,295,032,067,105,683,265,
122,723,242,303,187,028,576,863,281,285,012,581,910,780,746,242,346,639,863,
685,166,452,121,149,109,438,007,330,271,524,968,533,818,430,773,219,214,661,
560,911,297,607,850,929,539,872,634,400,201,523,719,367,426,071,338,943,547,
302,299,486,072,567,949,301,206,534,567,606,008,688,698,283,204,038,698,500,
775,103,429,817,355,057,489,885,850,392,308,802,772,154,600,303,898,788,019,
321,246,618,849,892,949,010,328,850,599,443,078,606,046,162,683,893,848,064,
213,556,317,071,035,723,761,033,714,764,548,439,951,058,212,681,151,805,968,
446,061,126,134,714,146,250,731,573,947,079,173,719,937,489,472,549,671,997,
983,022,153,980,284,409,611,781,171,884,626,056,201,368,127,285,355,738,863,
147,611,393,263,515,720,034,573,913,388,127,105,431,740,972,128,363,546,927,
872,400,122,971,429,337,701,448,235,826,595,162,208,787,577,005,457,652,144,
638,877,593,325,865,023,365,215,201,185,442,673,109,739,302,839,470,248,757,
108,128,455,835,378,373,063,447,283,900,215,644,572,236,860,028,658,408,534,
789,293,508,247,892,483,966,573,502,695,530,113,990,048,666,274,075,160,322,
660,104,210,614,670,160,323,970,992,346,573,411,117,322,658,378,258,515,344,
739,618,959,927,298,422,518,281,264,138,211,424,915,549,024,920,008,087,002,
275,731,700,612,338,873,302,168,700,027,304,766,273,001,955,255,159,330,246,
955,435,520,263,547,877,913,369,853,571,753,960,396,804,710,222,091,278,657,
453,008,824,616,617,280,807,251,992,335,630,994,194,460,416,226,437,990,436,
194,221,319,311,762,831,275,021,714,028,215,451,281,338,116,437,588,862,308,
715,747,010,633,020,692,573,158,557,708,190,368,218,716,967,239,405,485,862,
124,266,310,319,087,872,357,968,261,506,570,958,855,354,330,791,642,935,584,
786,717,579,396,551,281,957,441,059,846,843,266,597,494,002,635,126,839,215,
489,569,324,244,208,561,847,015,003,320,025,470,866,890,277,223,820,663,102,
994,664,533,193,957,213,396,320,910,141,216,234,053,681,090,162,278,844,475,
662,393,711,005,085,553,019,764,322,612,704,179,050,586,050,457,676,182,817,
953,269,876,357,317,101,892,692,047,176,597,772,550,206,392,748,007,202,666,
748,237,451,229,581,102,956,174,958,122,882,051,292,845,491,354,196,463,306,
324,707,842,013,873,270,149,797,707,416,306,090,576,197,837,432,987,967,536,
723,578,478,088,642,276,716,602,511,759,870,484,578,004,212,417,186,329,272,
902,226,006,230,417,571,985,436,037,797,064,783,157,171,221,684,471,662,138,
922,267,224,388,278,034,526,924,827,322,542,781,438,317,292,812,367,891,012,
468,918,028,133,286,189,898,879,676,252,210,456,684,159,566,533,292,069,478,
743,127,869,523,235,575,667,078,269,537,958,586,504,803,231,326,961,052,949,
620,546,155,255,052,712,437,746,915,236,270,408,507,281,934,473,466,417,420,
992,936,794,942,758,098,426,204,680,546,310,709,298,170,411,805,424,791,781,
806,288,198,152,162,034,685,912,942,160,625,254,110,071,582,749,596,855,105,
283,696,733,707,519,819,108,894,858,196,958,544,655,087,407,531,680,188,184,
545,275,144,911,663,000,632,637,984,809,272,911,641,350,044,498,631,230,525,
092,997,941,089,326,599,363,155,728,931,307,258,336,493,091,940,307,680,741,
897,000,828,315,299,514,945,039,047,953,348,774,288,310,573,234,496,823,304,
728,849,232,999,928,822,278,573,961,229,111,727,700,055,667,332,141,384,717,
365,106,247,346,315,046,058,660,539,038,985,063,986,984,321,175,910,262,542,
141,920,897,641,716,445,362,945,324,790,050,280,847,010,098,673,530,226,565,
535,856,171,018,858,184,984,126,202,348,839,647,268,377,284,814,269,145,494,
245,525,795,510,802,363,332,724,552,522,764,834,943,359,078,089,595,893,072,
389,377,315,013,629,826,342,764,945,828,279,609,440,305,700,068,107,712,994,
488,026,508,560,033,690,473,112,840,716,348,466,973,337,903,849,933,004,066,
669,728,258,400,322,617,701,927,943,990,915,111,604,395,559,560,024,821,580,
995,654,437,571,848,688,470,321,032,643,312,368,472,359,378,932,939,032,159,
140,679,625,417,842,864,420,033,067,781,859,451,042,122,075,679,517,297,982,
490,383,862,918,444,961,991,949,447,709,313,768,301,365,215,071,625,761,734,
761,352,718,710,430,164,927,248,075,105,684,690,317,246,076,332,970,922,405,
444,684,799,669,488,401,404,066,496,042,056,035,326,360,682,015,196,667,228,
444,119,679,687,525,081,723,692,695,801,392,541,432,585,321,786,287,836,965,
971,731,463,489,704,090,326,880,906,940,832,492,346,568,229,701,371,190,132,
653,585,905,590,308,340,871,199,020,797,039,866,131,158,478,835,530,617,635,
175,246,073,739,811,671,784,947,645,156,038,051,500,579,695,786,666,989,730,
558,776,178,647,209,883,290,411,659,290,269,389,959,879,515,339,020,063,080,
143,648,848,187,723,809,053,561,861,127,075,819,096,650,482,332,004,632,405,
201,570,140,876,535,271,650,422,315,948,680,922,111,212,899,572,558,534,641,
856,487,618,094,139,967,543,188,669,616,569,322,493,349,554,565,942,170,029,
498,670,336,377,551,659,434,771,251,776,003,157,935,273,131,725,652,705,477,
718,188,871,312,209,812,046,301,340,769,099,335,144,342,339,452,628,691,712,
133,951,521,538,559,553,286,278,100,671,762,282,120,271,019,181,621,383,244,
180,701,363,809,998,531,899,565,454,816,045,781,734,319,234,408,454,228,309,
029,240,294,617,937,723,162,498,088,754,972,393,172,326,055,547,432,682,847,
906,700,649,405,197,082,186,575,390,018,072,384,333,349,587,530,943,084,324,
075,895,820,618,433,580,845,155,829,240,241,114,248,837,750,523,859,448,648,
678,550,074,524,449,401,940,315,638,640,971,486,414,782,645,566,064,060,061,
605,007,355,584,326,408,743,870,515,480,410,400,342,005,258,926,862,203,795,
640,159,985,703,394,460,881,682,251,340,652,580,747,704,013,105,222,387,765,
955,415,736,552,779,169,888,855,080,421,442,151,930,679,058,226,617,000,632,
779,233,257,120,730,261,927,126,196,540,665,866,827,461,212,227,047,305,176,
785,851,368,791,129,367,656,407,911,193,829,651,019,782,970,432,529,369,608,
579,652,503,803,096,800,126,877,997,004,557,414,494,546,884,087,174,623,814,
758,207,831,989,597,438,635,307,560,362,889,083,777,913,102,096,057,065,683,
307,348,169,263,778,935,813,380,329,688,299,140,501,826,651,187,622,439,550,
410,459,800,457,932,741,903,859,209,814,548,532,382,589,415,056,321,808,081,
667,812,408,252,914,206,000,013,215,683,481,412,046,131,351,602,275,190,449,
553,239,502,249,562,934,851,285,193,372,820,990,528,320,224,515,728,353,020,
564,089,672,374,903,511,916,509,918,194,912,614,593,458,712,560,864,687,660,
937,169,879,436,534,824,285,788,496,730,705,332,938,100,048,814,954,601,275,
174,563,294,889,550,042,898,990,063,439,566,794,502,868,970,722,888,172,268,
842,037,006,763,885,387,342,554,020,132,301,571,871,666,967,574,467,210,832,
821,452,847,125,088,109,945,830,462,051,284,578,285,911,858,426,548,360,856,
405,383,338,675,108,168,284,962,508,189,416,084,882,931,978,901,522,065,797,
690,045,077,571,985,907,044,062,609,037,475,526,412,859,520,669,118,009,501,
202,072,810,990,627,911,490,786,765,922,323,659,594,897,681,102,888,172,116,
760,116,998,490,430,810,578,782,395,394,660,395,322,397,915,893,177,929,522,
592,547,528,488,174,250,020,070,716,406,974,873,229,879,793,636,206,997,078,
147,086,139,153,192,888,717,296,626,999,122,218,252,204,785,167,576,090,232,
532,808,036,200,168,135,280,586,118,757,625,996,308,067,937,854,555,951,042,
272,614,821,106,059,906,083,218,628,284,268,943,392,316,932,694,765,014,568,
803,990,895,767,599,105,870,818,654,756,314,727,821,636,375,310,924,193,762,
871,038,123,854,290,815,740,955,983,586,417,504,762,042,950,756,720,901,680,
135,942,250,793,043,419,062,213,013,260,858,356,951,528,645,005,427,504,053,
435,944,107,966,370,493,259,161,075,202,034,236,706,057,679,013,579,685,136,
318,155,708,239,289,065,820,142,621,922,262,736,467,488,987,907,834,166,878,
881,504,806,097,516,502,030,379,213,710,070,929,742,620,235,473,527,410,540,
506,718,267,406,833,175,612,692,264,140,901,950,985,433,253,524,894,299,287,
048,355,250,422,095,090,131,324,685,092,897,708,341,027,881,497,065,215,546,
370,547,696,766,911,898,030,535,095,394,536,132,181,026,956,799,346,764,321,
886,242,716,027,071,845,300,779,182,260,347,487,511,030,532,629,930,280,578,
560,971,430,667,960,662,705,891,891,361,434,234,396,487,852,236,250,165,301,
762,551,726,144,831,198,188,940,049,744,301,389,250,512,298,383,742,360,741,
253,738,805,472,520,148,635,135,869,259,089,476,810,465,407,546,117,512,477,
001,219,264,405,532,757,709,740,775,589,670,728,883,095,061,168,474,148,378,
937,783,232,896,638,386,915,879,909,991,337,099,002,231,969,302,782,459,173,
761,982,450,215,542,533,940,763,706,494,483,099,810,743,385,283,285,060,791,
930,219,009,493,655,136,888,952,153,206,089,150,914,897,248,646,709,756,167,
500,442,106,276,223,779,466,141,514,565,422,102,387,476,731,499,080,435,500,
087,721,837,871,312,175,795,412,452,274,762,342,053,227,893,216,160,431,293,
893,523,306,001,674,829,880,924,965,839,146,844,993,424,440,606,817,760,913,
640,362,799,131,094,367,268,560,589,448,303,846,941,094,569,483,911,223,788,
482,803,943,139,184,257,626,946,776,843,567,324,591,603,415,777,466,372,107,
440,974,118,301,368,109,578,363,346,983,187,030,832,974,736,927,764,193,783,
814,682,809,129,275,741,254,625,623,828,015,723,491,235,262,432,079,240,921,
643,170,881,758,869,567,709,123,461,633,872,508,127,613,851,480,099,509,898,
378,744,503,458,030,779,445,619,789,130,582,284,072,888,631,625,459,313,174,
116,873,722,857,296,776,172,947,684,840,435,239,435,555,151,796,325,819,250,
743,926,886,640,528,960,728,051,390,971,640,675,340,177,555,833,069,383,538,
188,333,065,336,587,646,837,151,502,335,560,262,656,719,878,323,127,274,485,
731,993,732,094,955,478,187,069,628,127,527,250,937,865,858,596,790,647,300,
632,758,105,620,959,394,894,988,003,956,061,134,559,936,724,767,637,327,387,
917,914,912,416,068,225,671,391,481,842,718,999,181,305,915,547,116,346,592,
335,280,320,133,244,516,362,124,332,225,664,628,856,074,796,511,209,082,457,
236,477,265,152,514,656,753,670,690,508,924,228,363,368,199,512,133,480,675,
735,689,693,333,647,408,166,238,690,920,383,732,663,575,889,342,761,359,555,
143,198,601,887,693,660,809,771,228,739,672,564,894,152,007,716,745,776,749,
043,448,059,001,228,017,326,197,410,481,906,548,469,264,821,404,536,093,568,
502,577,392,988,720,536,828,327,050,572,642,482,837,761,681,052,500,528,324,
665,817,548,041,735,380,676,984,407,475,087,211,560,480,619,122,706,822,922,
244,385,896,208,255,203,608,673,572,871,472,231,624,796,990,473,284,061,235,
453,063,693,369,867,400,530,086,799,069,543,862,514,765,378,785,748,659,250,
686,109,906,147,108,307,470,950,018,713,648,494,565,487,439,914,227,962,672,
495,362,641,478,001,695,463,089,679,449,942,420,520,585,581,569,436,288,270,
578,179,499,932,386,002,787,729,269,083,978,611,660,208,151,086,880,164,597,
067,888,166,467,185,716,977,922,052,355,364,132,973,949,438,870,105,093,145,
543,767,390,120,884,957,492,868,941,590,662,575,578,370,570,640,896,750,893,
067,195,888,047,032,393,191,594,675,424,390,513,438,985,230,736,506,600,070,
891,664,831,208,455,311,851,350,193,931,858,454,144,029,599,208,339,477,861,
767,319,339,006,492,377,767,904,145,633,113,700,890,018,413,859,814,702,852,
827,162,637,466,532,021,081,696,873,285,657,780,048,121,694,317,383,767,345,
308,631,466,268,483,087,910,939,355,468,060,930,813,260,890,097,780,844,965,
044,514,259,176,915,276,760,800,403,235,260,477,641,126,782,665,184,024,243,
563,000,155,711,326,260,448,278,843,773,079,808,380,905,127,330,383,001,742,
602,604,438,612,746,956,157,773,734,879,987,392,937,047,803,261,843,860,469,
825,661,811,242,333,508,491,290,541,308,407,396,351,001,691,098,914,866,071,
067,826,251,380,007,185,502,178,952,007,073,048,848,979,573,529,665,660,820,
720,207,083,145,963,284,291,622,357,074,818,449,051,136,756,166,642,972,310,
135,555,250,810,682,658,239,625,682,330,923,070,968,477,617,023,050,133,532,
040,699,221,664,388,237,866,425,369,571,272,481,279,106,370,900,242,297,180,
532,419,562,431,792,506,856,209,575,698,034,434,285,326,048,620,583,828,319,
838,834,907,107,796,783,998,174,133,861,817,962,443,236,340,306,433,822,416,
682,503,398,357,001,910,366,078,147,013,200,944,012,309,058,741,942,336,193,
869,992,876,327,938,192,340,259,555,292,494,803,973,850,696,502,151,850,741,
105,125,516,723,336,036,804,223,915,194,245,063,688,732,148,515,825,924,017,
685,586,576,614,494,201,595,560,034,390,371,840,330,687,916,933,769,444,833,
195,713,245,008,242,638,545,523,670,549,824,596,319,240,998,245,712,359,679,
110,837,156,750,370,560,392,820,650,702,027,955,485,705,370,535,816,845,383,
430,535,780,713,948,002,113,686,751,716,932,692,974,408,930,414,866,430,788,
465,612,912,575,027,659,874,625,141,730,997,106,813,764,892,974,819,624,748,
278,040,066,511,788,715,160,905,821,748,297,190,344,049,760,321,881,425,978,
299,506,014,628,310,762,678,902,665,759,479,319,583,076,369,366,553,571,052,
651,848,121,672,218,490,433,456,943,845,337,401,221,399,121,843,622,247,513,
445,891,794,184,558,947,678,875,189,393,789,961,822,344,121,911,141,385,452,
844,476,872,374,075,701,950,071,520,215,083,772,183,901,294,280,354,653,174,
823,322,241,537,556,842,980,015,105,782,242,394,030,410,031,560,495,700,285,
152,056,842,658,870,199,557,072,890,139,790,456,131,442,169,029,123,992,231,
172,700,554,001,805,806,746,573,370,575,694,376,046,271,187,910,816,691,251,
365,479,946,833,329,868,079,888,756,910,958,367,330,087,766,492,983,720,948,
528,084,015,642,300,717,453,991,964,375,140,305,143,576,656,958,072,049,683,
789,712,619,162,998,261,806,681,157,554,116,676,719,268,610,620,269,005,111,
676,937,796,749,682,478,454,714,914,517,529,825,007,822,917,748,995,676,214,
570,618,832,949,307,463,445,354,247,699,573,454,153,086,440,586,460,535,503,
019,275,217,706,626,785,380,445,944,858,019,275,692,367,503,450,256,660,654,
017,488,242,979,092,171,785,466,846,604,529,583,782,777,125,968,274,770,668,
772,524,920,612,670,812,119,166,576,428,580,367,086,398,087,539,368,943,195,
020,113,784,794,873,819,220,935,856,910,482,986,432,657,674,884,224,976,247,
522,577,832,620,418,210,654,195,829,261,948,568,702,915,157,628,418,340,285,
900,046,704,791,644,836,507,500,042,316,169,764,136,613,572,330,158,630,370,
204,816,283,020,028,432,296,831,655,169,625,166,761,500,285,964,403,015,611,
642,590,190,285,951,809,295,165,394,470,296,313,150,007,199,167,910,206,464,
374,233,603,127,308,310,725,820,942,639,145,195,103,608,343,371,297,041,852,
348,691,922,451,497,223,553,167,840,441,207,781,442,535,326,635,662,676,999,
953,594,761,265,815,717,146,724,595,289,337,693,066,078,402,751,165,116,722,
396,542,043,012,101,044,424,217,785,664,560,578,309,612,586,689,622,019,408,
637,461,455,767,087,263,022,582,149,086,216,484,611,824,780,756,017,422,896,
652,219,481,987,154,349,444,517,308,761,241,588,405,190,991,100,326,115,617,
924,872,893,741,953,558,792,340,287,484,710,111,653,072,776,149,288,370,898,
381,036,816,942,712,385,722,319,245,740,293,159,365,887,088,614,657,133,295,
197,217,266,744,905,283,498,029,402,776,857,532,565,523,995,308,466,559,376,
515,718,723,612,430,217,028,368,170,355,926,775,294,036,418,849,183,950,186,
099,096,855,111,674,240,847,008,123,892,220,434,623,206,011,684,422,275,954,
016,921,383,674,516,964,338,172,268,774,073,977,612,952,485,737,590,560,620,
743,361,680,059,210,322,756,414,093,546,200,794,599,937,683,594,993,196,648,
652,340,001,094,085,195,414,799,385,971,995,619,740,805,612,641,136,249,190,
825,715,581,025,014,590,008,089,411,230,836,301,306,409,253,411,336,141,122,
755,924,952,190,981,822,965,802,206,426,859,419,308,281,162,782,650,033,487,
277,661,739,740,997,629,120,654,332,823,146,030,453,250,796,789,895,719,447,
230,206,522,847,429,713,838,274,397,011,561,787,230,486,634,127,122,623,652,
782,606,500,109,638,758,008,740,201,086,646,067,247,366,941,919,864,104,664,
635,971,674,498,528,849,374,265,147,763,406,395,810,745,723,084,593,549,311,
835,028,311,563,951,636,580,551,781,276,826,246,180,380,708,122,446,217,247,
267,805,237,399,796,683,913,796,217,338,014,161,001,190,667,266,959,847,486,
491,064,162,302,959,061,440,080,184,128,286,259,061,405,528,623,677,076,406,
412,912,443,642,369,792,112,230,819,220,939,217,688,568,913,188,515,861,311,
894,149,581,280,626,108,269,027,277,697,541,120,403,117,282,491,556,178,265,
175,388,563,256,108,354,394,307,076,969,564,535,828,775,623,923,973,790,661,
908,822,039,552,861,454,714,153,744,083,702,576,498,064,405,404,939,602,176,
467,940,705,602,491,432,120,434,032,352,024,710,928,799,416,262,654,225,493,
794,633,021,375,174,825,454,789,238,853,656,961,920,183,065,997,344,104,220,
793,267,146,393,735,557,441,811,181,865,141,886,985,131,084,353,763,659,533,
702,261,324,180,726,763,268,701,348,339,857,737,140,505,887,953,833,205,958,
595,950,213,380,950,935,314,935,369,659,914,056,237,885,485,234,543,407,576,
416,247,441,776,322,323,619,461,110,341,254,164,900,291,490,096,542,296,599,
926,456,121,601,748,897,956,566,261,581,732,489,720,798,201,235,780,548,260,
273,305,909,395,102,140,888,156,459,407,865,590,954,243,105,873,904,520,467,
167,028,577,984,266,060,024,998,449,285,574,570,483,075,907,226,362,342,328,
037,773,794,077,991,417,041,947,072,472,383,914,415,458,081,432,991,565,347,
487,173,282,150,378,009,836,302,747,744,446,522,403,892,811,942,255,402,068,
961,413,412,710,627,596,160,194,667,951,915,505,030,970,987,199,810,394,343,
031,248,541,507,370,780,976,987,024,564,654,219,615,536,192,524,890,115,259,
592,249,530,787,598,275,342,975,619,697,708,614,531,190,458,562,047,591,938,
636,165,465,344,268,154,260,886,140,632,068,644,364,077,986,889,841,763,755,
699,781,433,391,332,901,694,692,677,688,605,307,465,653,373,030,449,985,099,
178,035,216,560,235,084,536,191,262,371,859,626,759,915,072,258,226,875,583,
495,793,537,436,654,426,776,352,357,842,473,361,730,413,526,850,393,519,023,
118,272,390,579,679,970,586,382,642,937,770,248,479,485,241,862,876,222,460,
731,746,349,800,630,000,756,584,466,611,367,249,442,350,884,751,638,586,629,
316,383,875,144,692,116,783,326,825,325,953,166,888,929,629,875,269,154,119,
086,482,718,191,744,953,383,287,126,702,652,797,295,712,341,634,651,364,002,
573,494,945,796,941,492,828,738,748,485,475,462,590,520,487,736,529,582,597,
023,876,939,441,738,832,688,226,943,163,326,418,370,530,461,461,264,088,850,
457,802,448,045,926,645,712,477,392,811,928,510,043,490,949,242,332,766,230,
218,259,262,247,279,084,432,724,886,185,286,339,536,020,265,546,247,094,853,
793,311,102,539,499,454,204,809,711,065,466,808,147,516,580,245,424,423,511,
692,744,440,529,450,240,257,107,940,765,716,800,037,432,581,992,712,977,084,
627,418,318,062,396,525,123,993,239,034,775,082,365,687,053,945,325,286,541,
484,329,232,885,975,280,040,037,987,170,839,256,847,399,077,281,292,162,641,
104,309,286,126,580,321,889,460,112,774,442,416,386,066,885,722,906,077,782,
376,761,636,563,583,051,881,558,899,596,739,641,563,947,054,613,867,946,394,
051,797,605,955,609,316,411,737,576,736,656,083,767,529,562,432,033,051,639,
818,248,009,215,626,136,343,037,070,145,933,395,836,140,729,196,434,177,715,
003,797,429,352,900,360,384,884,742,541,824,334,072,270,291,135,866,797,035,
964,107,924,325,444,628,425,717,189,919,960,513,476,267,191,499,469,315,168,
970,692,604,643,116,167,205,730,188,607,328,654,112,662,196,290,896,652,810,
109,048,472,072,755,700,621,228,194,471,504,947,431,311,464,244,963,841,620,
434,567,633,544,167,516,513,275,699,329,006,425,622,990,883,948,575,962,547,
221,220,112,288,385,823,999,130,357,348,591,619,792,408,391,676,371,991,630,
667,958,097,927,310,730,674,068,568,222,551,092,130,453,027,508,412,927,107,
433,074,076,059,378,304,687,289,022,605,343,187,280,910,671,552,079,486,316,
475,630,314,268,153,046,057,496,014,877,569,278,372,075,959,797,645,944,602,
656,490,919,138,198,315,311,450,878,170,604,943,481,852,869,965,964,145,219,
436,261,070,083,447,396,041,512,059,980,144,798,254,761,964,698,449,889,656,
985,572,524,529,758,863,411,194,287,660,868,215,254,715,701,986,497,922,035,
358,425,448,289,964,298,722,723,069,321,403,677,058,041,312,042,779,728,185,
460,493,701,138,846,424,004,587,066,647,772,265,684,789,882,495,060,504,356,
724,748,166,968,606,022,782,660,532,336,910,553,909,462,388,497,697,369,238,
297,984,258,504,967,451,683,863,781,854,950,956,438,893,960,236,970,380,442,
928,881,092,908,557,765,745,740,967,513,103,115,526,829,886,939,092,731,212,
814,272,371,989,874,085,508,950,629,001,409,558,182,836,828,117,237,712,195,
257,926,763,898,233,114,354,523,867,581,415,544,222,017,699,436,963,780,249,
925,700,681,641,933,175,685,710,164,038,779,239,551,691,255,788,739,920,775,
123,388,829,831,099,999,567,360,681,733,856,124,079,496,583,989,569,870,386,
286,850,970,468,357,896,487,158,220,933,336,367,011,028,873,022,420,952,528,
614,728,975,317,487,882,084,171,937,720,012,169,969,353,489,137,464,428,177,
011,485,945,607,833,340,498,910,108,134,842,843,621,875,870,288,293,941,014,
117,927,844,932,142,808,466,428,423,702,275,462,398,706,861,997,859,138,542,
296,660,045,129,872,201,926,895,282,592,089,457,285,316,935,544,107,237,507,
732,552,232,547,372,949,897,432,584,275,169,895,423,518,505,975,727,429,521,
368,475,712,096,622,158,989,779,573,182,609,643,811,492,897,278,026,040,809,
915,739,258,938,181,476,013,029,053,164,603,347,154,109,407,973,207,092,247,
715,378,622,054,872,585,735,003,553,159,441,697,226,109,410,681,609,993,292,
349,351,047,604,701,596,826,777,721,596,460,649,593,099,712,777,802,611,875,
202,491,794,330,886,709,780,987,666,098,987,422,839,793,493,948,698,613,860,
759,153,327,174,549,179,956,959,992,510,514,595,322,023,716,341,733,336,584,
156,866,274,615,018,788,721,111,379,218,237,615,312,911,876,379,432,696,661,
744,321,991,539,416,645,765,737,622,421,593,132,414,697,595,503,629,843,283,
425,652,723,889,852,493,636,682,114,213,725,061,705,985,970,751,606,258,448,
051,183,867,845,769,976,153,956,046,248,868,471,089,152,763,534,257,212,901,
931,614,615,443,682,976,373,789,867,373,276,935,745,096,784,243,518,659,168,
116,670,113,105,814,670,940,657,883,897,391,698,899,450,405,818,033,885,907,
586,297,575,896,719,743,566,940,921,798,599,266,147,389,459,038,047,030,213,
533,078,676,272,326,594,317,610,839,208,004,200,015,858,429,837,572,499,699,
775,063,201,573,610,444,869,757,645,520,458,325,257,167,672,383,129,775,548,
621,514,854,927,939,654,436,966,234,381,843,705,487,146,072,808,626,708,596,
090,117,818,994,187,370,090,640,366,011,733,946,327,912,067,568,383,552,497,
143,056,849,126,555,659,608,902,710,648,354,986,165,439,531,500,784,768,926,
321,915,061,203,854,093,086,230,143,877,591,906,176,036,217,820,436,600,442,
537,964,023,986,241,635,595,989,196,972,392,693,057,442,002,870,099,207,083,
083,703,101,932,500,524,167,229,580,692,660,263,568,100,445,470,394,356,855,
297,883,590,311,494,062,134,056,071,861,067,465,870,130,253,112,602,638,847,
455,054,090,206,489,203,812,686,765,052,013,232,320,549,072,728,973,982,786,
464,047,915,688,955,513,252,276,430,937,136,332,103,848,459,520,715,943,045,
494,681,900,066,096,700,186,004,890,617,056,300,717,955,136,634,365,413,698,
483,546,591,631,510,584,848,963,163,382,603,682,485,896,960,753,420,148,872,
996,139,794,635,438,476,219,512,471,331,420,271,324,195,440,481,653,627,875,
702,474,267,088,150,456,331,454,530,338,521,745,484,479,386,308,469,708,309,
745,925,915,124,846,909,326,947,893,047,633,622,678,747,382,069,576,939,899,
662,294,167,893,751,395,429,716,465,418,230,555,942,683,683,179,967,992,631,
716,023,928,699,083,146,428,657,360,400,185,601,785,373,448,975,193,504,891,
306,481,389,629,256,730,856,453,446,805,804,322,755,550,152,478,488,723,318,
472,782,188,234,410,402,544,424,232,052,749,471,949,218,712,596,184,177,466,
374,247,860,860,009,754,019,120,789,598,832,404,218,119,894,643,886,191,261,
125,585,952,787,429,712,929,030,899,989,938,181,021,224,364,838,429,984,446,
167,869,106,139,496,504,964,717,388,228,342,776,039,914,818,282,456,352,768,
358,176,817,719,483,238,315,538,131,360,240,998,149,116,692,157,353,903,524,
788,227,041,922,390,088,174,471,659,906,639,572,183,876,159,006,598,459,652,
812,630,340,725,089,603,507,381,076,730,687,155,005,368,008,544,068,272,121,
388,467,175,624,920,834,972,182,999,065,261,577,585,195,389,265,988,343,536,
630,240,453,533,264,080,492,826,823,037,163,817,835,347,115,216,880,797,215,
363,454,250,618,867,519,314,441,041,677,534,981,124,393,697,753,435,650,186,
575,147,919,104,524,450,547,441,225,467,815,738,009,039,539,741,107,738,928,
525,683,843,865,058,503,713,746,825,815,429,332,495,559,451,234,485,724,237,
380,881,386,652,178,419,769,112,587,630,783,589,675,338,732,069,389,042,310,
172,865,192,512,989,657,490,228,395,920,240,516,779,914,339,823,403,243,964,
587,808,035,199,105,495,745,667,532,433,923,235,105,269,032,366,001,632,989,
025,359,643,823,840,135,224,206,210,316,631,100,664,186,662,931,760,276,238,
581,696,306,527,570,687,622,577,774,216,022,555,575,048,449,539,281,522,508,
752,893,314,732,998,714,869,821,288,807,087,577,830,586,951,328,999,827,880,
982,160,986,481,124,513,604,068,435,544,489,013,951,500,648,780,896,650,908,
642,873,339,379,745,828,796,062,444,776,257,000,374,594,574,819,187,293,267,
915,687,621,589,088,238,997,590,911,766,252,964,161,288,998,118,794,128,819,
356,786,351,787,890,753,774,611,280,941,450,230,705,503,647,554,623,014,245,
202,215,793,653,280,516,381,811,794,074,691,968,914,456,358,066,060,538,455,
491,079,032,607,419,714,598,388,610,656,646,513,114,283,487,699,437,121,218,
502,610,109,382,335,257,479,690,041,934,216,956,148,235,617,002,948,838,177,
854,154,497,105,241,673,809,785,877,229,946,153,500,856,298,423,046,732,874,
217,700,354,940,458,756,421,187,825,421,549,714,439,944,694,331,318,999,182,
286,634,370,575,611,522,120,948,612,506,101,602,475,977,811,705,865,843,398,
949,809,393,221,719,046,103,462,891,575,883,288,315,964,850,500,479,711,479,
836,757,523,938,391,694,449,261,629,366,692,891,902,509,957,403,342,842,515,
245,147,959,037,991,096,036,248,894,027,681,444,432,469,071,906,644,377,364,
506,781,945,957,130,365,394,441,151,613,597,002,688,971,504,134,941,129,774,
519,808,367,866,797,523,964,194,445,569,291,872,946,789,971,092,231,342,881,
871,229,010,271,504,047,780,648,917,430,586,700,222,636,471,111,755,083,945,
167,593,578,161,194,350,475,947,429,363,127,801,960,484,539,025,850,965,293,
431,899,465,258,343,334,578,307,148,298,384,176,338,697,835,248,446,055,234,
570,822,935,354,135,809,849,869,885,537,388,839,025,548,951,736,832,524,281,
528,201,425,294,505,262,450,757,121,030,409,072,279,786,392,494,510,439,434,
222,825,316,471,536,823,297,651,256,066,237,246,340,853,463,666,494,666,958,
783,242,115,034,808,074,033,734,155,365,246,882,075,357,302,975,686,087,863,
011,081,956,425,021,418,469,154,355,432,417,205,761,449,439,698,568,337,045,
786,670,668,692,666,615,318,085,009,355,066,730,905,711,383,103,327,488,814,
115,204,107,499,564,094,696,954,187,967,732,414,397,085,755,193,740,921,646,
488,490,566,839,336,766,692,779,559,086,864,586,134,763,931,150,347,879,711,
684,722,634,709,381,356,964,575,596,759,659,845,366,030,625,042,295,193,736,
717,881,200,213,592,633,158,720,525,854,587,852,123,285,142,425,767,114,729,
047,278,339,410,524,941,108,172,166,225,483,387,918,453,483,581,150,679,189,
540,588,331,719,458,820,741,046,008,705,646,475,076,296,606,456,098,084,770,
583,138,608,301,837,145,976,470,157,564,382,683,509,273,146,938,062,589,869,
667,004,946,397,161,564,259,157,354,994,658,698,382,744,613,360,091,666,138,
234,756,176,900,288,908,498,562,258,468,734,332,885,377,431,416,785,337,342,
709,524,665,658,043,384,566,668,782,500,564,858,470,961,587,068,883,859,323,
823,420,579,787,864,873,856,436,872,973,552,884,919,276,337,859,511,430,998,
350,363,181,263,356,899,289,348,452,636,676,787,350,422,831,908,707,965,107,
056,160,791,021,478,042,458,020,394,721,706,716,175,541,556,914,151,277,913,
658,006,024,395,204,356,317,545,826,847,257,103,138,824,202,618,473,855,011,
782,861,620,897,201,001,137,962,582,024,703,439,459,101,897,613,315,672,148,
244,137,093,302,980,078,376,407,715,309,843,091,001,841,640,651,601,173,586,
253,993,824,040,666,193,654,273,747,686,169,475,137,288,844,802,022,798,275,
392,371,094,585,191,318,588,318,285,368,647,458,971,872,536,889,941,806,578,
055,429,676,501,476,653,529,142,694,965,276,118,991,516,376,506,228,209,086,
515,310,419,219,443,343,448,932,112,429,961,057,581,692,735,661,340,693,169,
025,097,778,656,076,166,864,901,148,500,728,040,585,263,834,882,172,636,548,
194,907,748,267,363,482,536,868,686,390,124,996,016,651,606,949,195,149,672,
864,831,079,025,722,659,655,387,578,456,013,746,999,779,630,970,243,314,322,
199,349,556,875,995,669,213,308,295,332,547,652,802,081,074,536,756,987,640,
598,415,352,718,386,300,256,423,710,366,035,382,156,655,241,259,431,586,400,
891,465,889,890,548,400,071,418,797,535,595,402,643,994,093,259,531,111,271,
160,654,230,562,425,512,693,036,128,300,513,549,069,282,152,339,522,791,208,
120,544,355,692,715,442,171,098,426,703,230,585,001,518,785,539,206,662,980,
761,168,242,366,965,524,847,125,908,547,509,571,922,835,401,352,790,131,216,
024,836,473,257,205,499,015,235,846,284,064,386,526,425,971,497,129,352,796,
857,379,746,378,805,070,398,622,202,349,494,069,391,784,615,144,689,540,835,
851,251,676,752,653,808,196,753,056,161,979,147,316,979,537,662,723,984,887,
267,266,336,963,469,549,609,359,220,104,133,775,948,240,030,360,052,001,193,
881,413,061,443,747,599,114,762,538,159,606,142,740,342,782,342,086,802,599,
219,935,950,343,419,048,443,693,943,595,547,593,311,089,251,365,313,743,648,
260,105,281,618,469,192,655,623,988,632,351,492,773,091,526,783,211,820,293,
993,665,503,788,379,429,530,698,789,868,785,788,362,728,534,962,834,674,007,
673,038,138,845,667,587,812,298,561,179,200,645,536,907,693,306,761,448,196,
584,479,746,043,674,129,314,609,308,597,919,598,606,674,299,781,456,419,503,
923,644,855,388,329,555,875,919,158,993,959,334,661,578,322,787,780,324,184,
526,478,069,219,849,954,695,038,431,137,231,907,325,567,085,395,452,785,339,
849,365,284,496,785,183,084,029,664,330,736,084,546,831,239,021,750,426,319,
790,963,644,559,087,922,579,878,170,679,955,033,843,390,490,885,803,873,278,
295,984,412,828,000,484,992,893,725,076,801,499,405,766,894,759,177,386,575,
960,488,136,791,608,395,246,346,468,167,175,294,264,828,498,872,157,239,299,
953,130,612,305,792,282,020,820,935,335,978,807,372,039,646,626,498,230,598,
444,294,981,133,294,783,568,005,951,198,228,009,350,353,896,171,562,530,917,
224,949,250,471,407,166,170,097,815,200,878,375,999,306,184,644,768,943,120,
283,627,679,516,992,071,806,637,924,490,737,015,403,544,366,191,474,226,869,
599,058,791,232,642,892,728,049,859,087,250,791,239,075,107,466,155,926,309,
234,651,206,886,155,107,231,862,539,978,155,193,894,134,744,795,184,965,931,
421,481,922,082,899,093,245,140,668,723,112,971,768,506,016,157,900,963,869,
911,091,855,969,778,537,416,653,201,055,008,527,050,875,592,042,787,855,393,
088,485,617,502,617,094,658,200,133,194,092,224,786,453,193,086,843,129,102,
376,762,979,663,630,248,157,868,724,115,809,783,415,644,142,486,660,462,482,
688,732,656,493,604,893,354,554,796,448,636,355,020,979,154,040,770,742,418,
944,250,291,621,754,668,546,789,642,710,585,425,383,762,689,166,571,354,150,
450,258,361,089,800,815,683,375,247,803,930,930,580,711,566,656,298,608,978,
847,223,597,218,075,420,055,143,089,147,975,064,067,103,076,761,257,642,841,
591,465,394,469,426,485,201,434,957,300,046,055,078,538,003,301,321,219,222,
757,195,343,728,078,993,214,684,429,024,774,176,865,092,891,628,620,319,456,
569,576,374,491,492,994,950,841,167,919,793,801,618,954,236,595,858,258,632,
466,527,102,886,872,334,311,529,097,362,723,714,273,504,061,112,557,603,627,
823,939,375,348,428,050,051,262,280,232,094,814,709,762,044,737,260,547,835,
590,697,386,290,527,702,648,835,614,090,748,811,312,343,799,259,903,188,490,
427,148,337,056,448,701,864,530,246,706,152,469,566,511,779,723,310,973,565,
220,045,611,126,219,486,546,907,602,309,392,806,168,505,622,772,258,223,571,
713,300,041,043,697,012,191,248,825,775,547,428,471,037,047,804,608,088,233,
340,812,030,740,844,559,719,426,474,819,861,273,337,640,509,308,979,290,606,
732,556,899,231,295,369,929,873,590,948,968,517,781,801,774,143,752,407,012,
594,382,946,204,195,315,886,009,209,261,264,482,668,323,836,719,296,962,189,
905,029,339,269,450,101,820,226,408,348,865,760,800,123,252,734,252,000,238,
295,215,440,063,265,488,481,820,834,140,992,049,824,951,840,076,939,973,010,
594,535,140,479,923,147,881,759,198,687,744,176,353,907,297,750,541,075,339,
594,252,569,517,996,685,674,123,237,047,356,484,425,213,944,787,841,260,710,
653,234,102,719,537,829,160,846,070,752,876,451,743,764,068,671,974,377,036,
378,890,407,111,036,018,566,184,694,817,083,907,689,473,797,692,999,358,926,
844,899,336,621,160,797,014,012,657,558,660,509,950,531,406,984,048,230,956,
981,296,139,097,487,725,349,846,326,214,766,087,710,414,606,511,807,665,341,
171,876,544,160,951,653,315,775,492,451,590,522,933,605,570,034,495,206,563,
830,924,954,879,713,858,271,349,118,031,049,999,231,530,440,424,173,433,039,
428,490,847,992,746,207,325,879,323,082,134,494,916,714,850,372,085,718,506,
231,792,632,731,512,236,165,144,177,315,981,322,607,795,202,960,806,629,560,
747,074,152,126,535,443,024,597,450,320,042,715,098,065,199,902,501,645,237,
423,336,728,281,390,898,156,090,323,087,356,212,486,858,547,190,669,195,329,
130,997,154,773,318,958,293,134,076,901,447,388,582,227,192,040,711,675,503,
478,124,041,777,140,926,888,081,975,976,788,013,863,744,739,289,825,465,825,
714,561,951,879,505,883,790,082,177,206,026,876,011,213,847,327,711,427,470,
041,830,947,641,747,168,534,586,098,606,083,289,934,250,355,528,575,012,494,
199,392,495,749,338,486,301,886,875,311,349,027,702,428,425,721,632,215,914,
879,277,799,192,334,971,616,788,471,434,403,662,433,240,084,700,240,297,332,
797,183,545,363,912,961,337,476,203,254,874,862,979,581,648,443,614,629,262,
166,924,938,489,264,836,073,288,048,590,769,800,387,343,797,880,525,091,561,
185,623,829,052,630,153,334,983,958,697,277,342,570,238,079,701,375,047,568,
322,789,718,988,532,843,340,081,376,422,176,408,445,871,595,413,302,732,156,
787,153,606,284,671,949,276,456,536,263,746,302,651,710,430,619,556,902,113,
949,982,674,638,503,294,209,493,841,913,633,052,770,650,450,057,913,316,818,
645,416,712,849,801,556,584,375,882,293,082,487,534,703,933,859,699,187,013,
275,484,007,986,857,506,897,073,578,586,228,565,128,264,147,728,468,538,376,
857,058,982,744,160,727,697,197,815,252,399,255,882,320,813,002,372,476,168,
834,371,321,428,533,003,797,231,383,987,117,950,163,713,823,763,072,339,292,
431,292,281,449,656,697,519,928,462,186,859,052,755,999,038,411,021,796,379,
335,958,531,960,950,823,211,821,440,461,715,593,519,638,788,111,724,306,086,
826,857,093,808,597,873,510,365,058,834,001,162,772,053,067,324,173,993,618,
708,240,584,156,831,477,187,056,001,787,432,913,812,782,275,779,965,612,895,
460,365,190,922,486,401,847,958,569,776,211,991,515,796,884,218,456,051,382,
423,467,408,773,611,396,346,465,449,079,952,792,114,357,209,992,472,134,148,
169,641,455,737,392,678,806,778,054,864,696,995,760,248,003,019,726,946,088,
578,988,194,710,031,027,608,626,094,002,503,847,340,613,883,330,517,542,828,
793,981,094,868,867,758,367,858,517,891,379,345,364,752,937,050,949,940,446,
887,888,392,218,076,447,459,798,613,652,369,424,803,234,620,886,557,994,016,
638,825,064,340,450,743,882,389,818,508,651,518,546,577,054,398,826,468,948,
795,928,005,478,275,393,362,861,640,839,512,779,590,139,609,844,632,636,456,
759,825,543,542,268,568,546,919,446,033,570,312,701,217,094,742,238,099,916,
282,033,641,440,910,990,323,568,842,414,272,546,429,061,333,375,214,616,276,
120,067,131,816,899,488,485,413,918,149,184,281,087,488,829,675,336,057,674,
276,652,763,616,009,203,583,658,912,458,028,129,482,916,315,889,232,464,484,
936,056,554,694,006,670,332,627,908,587,148,768,512,520,463,118,682,351,560,
103,035,263,888,102,537,719,184,009,848,021,078,404,493,904,967,818,724,003,
181,443,678,828,035,480,768,126,848,896,873,608,086,111,283,899,299,616,745,
578,128,447,181,349,116,865,563,765,840,177,456,157,832,960,150,076,843,457,
777,893,546,271,918,310,683,231,452,265,244,647,109,843,735,250,632,064,338,
056,624,332,258,212,163,397,638,572,805,728,305,561,293,330,024,266,958,332,
465,472,444,420,358,997,259,840,111,535,870,985,439,504,669,039,459,356,198,
163,902,988,958,705,994,844,331,536,290,871,812,832,788,388,616,293,756,159,
142,771,473,442,333,568,575,292,095,332,292,486,548,461,916,944,753,113,348,
688,742,825,317,600,293,168,505,184,066,491,871,564,512,900,921,197,810,191,
594,991,272,922,587,101,143,446,840,558,302,187,723,548,544,687,560,078,064,
216,754,212,950,835,096,493,560,207,369,841,860,216,195,034,967,435,198,053,
675,391,535,115,471,831,926,107,731,649,174,622,683,762,194,197,224,274,824,
151,852,608,477,986,436,090,593,486,105,614,816,996,155,797,607,903,131,527,
346,192,396,685,365,993,215,645,895,847,019,186,881,009,250,912,946,588,230,
840,834,553,499,625,592,638,977,923,040,886,963,939,777,276,130,006,904,370,
592,002,377,930,286,473,529,668,467,311,998,806,487,371,702,923,249,170,704,
880,671,136,635,894,382,372,790,634,011,972,062,572,181,037,952,738,162,563,
730,358,900,889,362,170,850,716,027,092,926,615,417,406,500,350,793,264,830,
131,093,987,291,319,801,736,357,425,546,884,951,436,895,292,849,900,502,960,
591,717,805,270,461,827,604,862,618,176,367,956,247,497,378,939,064,958,067,
298,570,884,550,869,387,790,995,880,383,334,159,938,421,772,130,617,948,944,
406,506,019,969,679,180,726,653,578,552,293,751,786,275,126,480,914,975,189,
482,259,569,320,388,540,244,758,056,700,256,166,279,610,135,578,971,925,552,
245,695,142,744,092,822,561,222,971,234,837,183,333,659,735,071,806,178,343,
949,190,947,960,478,396,026,936,167,155,689,351,880,626,316,902,193,221,128,
267,114,957,086,639,293,918,413,408,620,492,978,208,000,693,153,407,155,830,
480,553,511,389,583,584,563,954,706,349,085,660,353,125,955,071,010,517,691,
721,393,090,820,726,430,642,948,156,669,687,273,788,326,882,558,884,150,913,
877,934,241,284,387,752,409,040,694,202,777,564,954,811,389,202,985,818,515,
090,258,008,766,163,770,319,841,917,126,740,327,839,476,814,144,126,245,831,
407,290,804,977,190,976,926,816,694,095,195,931,010,429,213,104,429,916,776,
571,693,108,981,345,670,193,261,554,776,773,287,794,892,659,054,697,983,672,
752,241,245,636,427,777,746,425,312,480,261,727,475,044,327,340,943,324,112,
432,129,424,355,013,651,306,677,021,526,821,574,545,370,755,478,715,343,286,
364,701,518,901,344,004,107,062,075,245,430,198,869,946,067,771,751,533,149,
563,803,776,619,177,094,650,342,043,315,648,206,141,343,168,108,567,217,205,
638,498,993,325,697,513,632,808,028,034,452,898,898,573,887,096,585,946,815,
857,577,833,272,131,861,211,149,730,754,879,669,788,191,667,999,061,241,709,
568,301,330,288,502,931,906,655,534,048,247,933,223,362,533,590,096,991,987,
746,956,847,288,571,272,975,028,608,226,386,174,740,341,420,947,385,041,981,
728,811,970,512,248,175,744,657,638,627,617,799,905,733,656,980,865,002,214,
138,431,288,654,795,909,838,867,612,759,440,843,907,257,171,125,669,051,882,
853,631,151,667,970,959,975,871,518,808,338,702,236,241,521,788,650,160,751,
133,157,070,812,156,948,447,759,480,953,351,805,141,772,411,756,752,194,839,
622,426,075,997,409,531,903,267,859,090,419,738,057,528,821,818,179,959,792,
102,015,066,837,304,570,879,826,998,336,469,883,067,118,005,215,985,028,962,
883,610,968,029,123,122,317,568,135,070,319,490,485,509,894,275,886,481,638,
855,128,080,703,955,782,901,316,441,699,076,130,419,961,701,905,829,391,840,
965,680,512,729,167,493,868,367,879,405,879,727,462,902,867,793,758,721,350,
842,206,214,631,583,626,270,849,839,346,050,298,181,372,506,497,190,454,592,
265,828,346,484,114,030,618,565,350,289,567,117,088,984,303,696,122,712,968,
851,979,212,327,684,832,724,140,411,709,681,093,079,607,120,668,332,667,449,
810,802,439,877,477,945,707,084,426,257,901,002,525,756,983,309,078,122,714,
245,280,618,852,263,096,222,724,339,460,309,762,545,395,711,058,030,163,220,
296,672,301,400,113,940,930,327,053,788,994,361,845,054,108,206,072,174,228,
819,984,919,280,847,643,544,890,749,443,894,289,652,408,784,460,340,403,958,
996,038,737,613,065,989,882,360,035,382,516,641,580,772,819,616,026,747,410,
254,803,584,233,536,437,496,346,288,101,196,723,915,513,883,490,849,565,228,
071,629,904,915,064,858,770,406,652,530,870,110,363,740,318,554,604,197,702,
550,974,537,227,166,916,492,539,643,472,664,408,253,162,287,383,183,021,485,
627,304,703,598,612,188,326,092,079,361,533,167,274,002,339,928,664,623,755,
915,254,349,564,693,061,608,492,257,684,509,565,749,106,915,659,961,435,489,
853,431,272,845,753,200,819,116,830,226,106,543,426,229,811,026,517,368,322,
958,305,685,840,405,557,526,567,317,838,759,939,506,493,238,881,992,245,609,
134,423,582,393,976,555,093,761,315,429,784,779,936,837,297,081,126,333,140,
448,211,972,591,798,778,460,229,580,460,777,929,524,071,315,021,319,840,003,
766,550,195,466,927,436,903,596,614,043,698,626,693,168,677,231,704,205,060,
229,381,043,807,589,486,918,582,526,865,149,141,859,381,091,040,876,198,080,
566,233,800,349,509,230,469,143,457,892,586,052,530,561,908,381,436,901,736,
794,918,155,922,906,937,167,414,019,704,194,479,612,654,266,615,137,268,706,
273,604,004,218,828,033,110,548,687,158,713,328,433,256,469,689,440,580,126,
619,714,641,912,373,229,433,095,047,623,026,110,459,354,052,005,915,990,953,
662,063,074,179,044,297,950,613,862,481,958,984,064,097,331,204,953,973,576,
315,549,159,427,962,080,348,299,339,947,622,784,532,414,890,500,542,056,169,
968,321,175,944,245,656,438,132,828,279,505,328,109,971,689,225,089,254,353,
576,130,664,028,394,845,757,694,417,393,531,843,650,323,699,853,757,490,473,
878,586,557,320,410,296,720,217,429,083,042,033,647,095,147,137,823,233,445,
732,590,341,467,934,281,666,885,869,702,871,191,592,043,522,054,443,386,590,
335,081,455,781,379,663,459,928,561,219,627,985,440,357,410,685,969,456,310,
804,957,719,966,220,474,445,801,387,434,734,104,783,468,486,715,061,406,527,
932,511,760,563,560,417,178,667,984,550,348,834,712,787,154,762,526,428,113,
706,283,960,088,556,662,037,933,316,640,946,431,035,050,439,024,611,554,323,
255,686,018,989,558,473,765,517,930,919,889,018,537,229,679,842,004,338,034,
243,355,342,415,476,080,185,070,699,620,969,546,537,496,139,620,257,795,189,
201,756,856,304,983,035,082,061,747,239,292,487,478,954,426,654,926,536,593,
204,987,929,592,313,993,279,844,169,426,655,407,710,439,133,598,833,357,239,
925,799,860,785,642,616,405,220,536,446,298,178,274,988,958,656,824,129,130,
801,627,578,410,907,230,732,386,681,665,121,234,651,904,293,417,475,913,289,
553,076,468,172,753,538,266,692,065,616,297,051,967,692,734,903,421,036,418,
144,623,503,360,976,994,664,882,539,968,608,175,680,778,130,755,499,731,169,
221,969,186,671,957,542,730,287,775,097,456,697,014,635,196,865,629,637,790,
580,956,610,157,326,313,105,318,432,751,167,988,845,389,334,685,900,125,721,
840,149,056,509,348,964,803,931,159,292,561,659,255,408,428,096,752,521,300,
025,919,684,157,200,530,797,998,724,342,060,242,387,889,959,748,035,361,080,
173,900,497,560,482,579,221,961,773,648,424,848,292,968,189,153,161,625,622,
716,025,194,584,362,427,625,032,338,229,923,994,441,376,543,639,093,745,795,
808,231,177,816,903,948,615,703,866,717,974,667,074,835,691,284,629,476,528,
895,348,038,623,014,418,939,871,207,996,792,916,550,000,575,337,156,494,716,
635,712,043,873,156,191,948,570,982,437,063,427,287,786,541,004,151,556,290,
619,451,084,721,997,657,566,336,017,128,297,057,545,950,688,227,893,364,106,
658,608,889,415,954,605,809,204,433,769,099,237,001,113,055,739,669,111,872,
936,669,157,425,911,280,377,622,418,291,255,852,397,848,127,621,361,311,757,
607,475,053,970,678,144,374,075,716,479,124,313,808,173,502,843,389,283,229,
581,964,380,901,973,741,339,324,610,668,249,185,481,512,814,583,490,768,851,
248,386,667,267,596,678,995,941,135,354,437,894,091,131,765,578,404,566,597,
114,683,077,613,366,828,554,565,875,265,944,706,560,569,777,146,717,502,729,
450,424,033,271,863,909,285,461,171,225,262,155,619,376,153,552,516,103,581,
742,507,353,737,073,053,443,529,310,448,349,113,706,432,362,044,627,285,415,
300,815,855,637,753,614,415,115,936,556,856,032,576,769,790,200,045,105,986,
805,047,693,041,547,643,147,967,947,677,190,148,492,599,541,511,408,473,186,
435,817,798,558,976,407,452,683,256,422,207,432,426,873,922,774,507,610,846,
611,861,931,168,892,365,501,023,949,566,443,277,244,599,898,353,776,145,358,
154,939,125,192,212,900,574,105,856,328,840,937,207,006,618,459,812,459,953,
663,728,322,894,341,242,679,180,427,069,647,624,556,836,911,015,592,321,073,
422,445,517,131,349,997,209,739,569,959,212,772,361,746,200,397,697,440,850,
060,849,775,322,729,364,535,212,255,531,534,088,397,853,835,756,849,616,841,
546,417,351,087,189,626,682,117,197,805,919,653,789,915,871,187,184,121,494,
134,429,746,058,663,341,768,708,253,685,230,875,939,212,259,984,005,311,633,
873,453,188,315,641,902,212,036,077,721,982,419,925,766,920,565,082,064,069,
695,419,430,428,823,697,680,214,277,714,722,074,416,251,543,433,017,190,702,
327,365,386,588,971,989,245,874,535,973,333,407,664,783,133,303,447,292,521,
836,264,918,314,810,078,466,211,304,637,046,145,576,073,000,930,078,376,911,
003,015,101,809,671,683,223,930,023,982,190,327,176,614,746,636,828,871,438,
968,752,223,498,328,624,600,038,841,010,738,674,488,517,030,532,111,994,568,
031,438,883,990,709,777,761,374,185,215,459,062,755,840,533,040,074,260,832,
474,059,827,387,845,083,132,869,072,484,405,657,799,378,679,060,601,225,060,
784,020,660,116,224,255,606,192,470,802,319,614,444,043,222,435,820,199,132,
769,741,028,074,645,051,020,100,658,954,621,897,029,741,353,998,751,758,562,
555,850,208,152,490,309,488,617,008,745,792,642,674,119,165,137,436,332,282,
598,243,223,547,805,138,947,887,456,603,725,030,528,739,860,510,859,926,318,
618,548,403,484,245,783,464,468,326,015,897,994,259,796,780,660,761,264,617,
641,381,207,035,029,145,441,112,458,398,701,684,774,562,871,729,071,999,410,
933,419,994,936,584,705,926,673,564,664,537,643,420,179,385,208,071,267,698,
555,866,516,573,567,493,148,571,402,814,115,367,955,579,174,964,519,964,659,
117,862,340,129,610,361,246,375,156,826,722,845,642,224,933,163,261,714,718,
528,252,932,648,071,193,142,167,115,149,959,952,120,173,431,859,615,243,145,
303,711,682,150,203,318,207,990,647,319,637,280,211,476,970,232,309,092,489,
477,699,729,104,682,977,217,054,082,613,227,072,856,334,673,006,032,193,073,
407,409,893,432,690,670,994,709,369,682,712,821,770,541,385,150,878,726,933,
293,663,349,899,232,709,030,563,421,251,525,506,626,263,063,640,623,121,820,
735,991,536,420,416,138,866,837,487,891,455,807,116,804,940,603,459,783,796,
322,352,427,221,102,824,426,859,944,911,985,049,061,433,952,682,954,449,026,
413,759,528,715,674,539,411,881,754,580,358,275,877,413,073,609,443,261,189,
447,690,316,800,471,083,525,375,562,836,292,721,531,907,075,816,807,931,165,
061,283,768,099,291,477,804,566,354,559,766,283,577,379,317,531,384,489,956,
848,413,478,977,232,980,953,039,107,860,607,783,812,427,809,291,518,458,034,
121,797,445,651,541,604,740,147,531,007,805,028,435,171,738,177,086,015,722,
347,560,882,047,634,855,966,458,427,629,908,218,922,299,689,337,716,134,133,
770,332,510,134,470,627,428,088,420,160,622,624,037,823,404,841,031,499,216,
630,649,157,876,541,077,392,326,592,913,134,342,675,031,830,193,527,418,676,
375,381,209,001,746,773,876,440,766,923,069,952,473,107,948,192,234,410,135,
914,101,230,074,180,027,662,118,676,724,557,017,068,334,034,834,694,559,740,
376,913,420,801,706,031,590,033,156,147,369,132,086,157,139,348,375,209,801,
613,205,183,619,657,747,317,464,350,232,746,575,267,767,193,872,486,491,503,
336,744,212,434,902,438,278,029,723,094,645,057,761,022,403,570,023,473,182,
105,139,853,770,093,570,287,801,348,567,526,136,722,812,078,948,921,506,701,
599,010,654,593,312,044,479,103,113,931,877,157,296,748,251,421,724,484,118,
449,654,746,718,681,452,622,316,934,982,556,766,965,906,057,361,356,017,483,
011,879,326,097,172,760,150,000,340,737,246,588,372,437,049,492,002,360,683,
377,580,958,585,102,185,393,814,448,008,578,544,900,204,299,027,375,943,180,
270,951,408,991,481,446,896,679,202,734,439,484,900,870,457,711,846,138,819,
202,492,595,091,353,331,990,738,498,627,499,463,738,634,632,848,532,869,886,
852,919,740,084,715,314,143,170,701,312,714,165,656,239,813,789,031,591,582,
981,704,153,754,356,870,231,889,190,033,560,042,780,249,188,326,085,272,853,
885,323,671,662,631,632,369,172,150,137,337,123,902,900,297,181,250,496,631,
806,866,825,889,979,238,314,474,770,267,563,766,350,342,924,546,115,277,687,
268,157,599,770,649,904,305,408,548,415,811,241,840,184,587,886,643,171,686,
224,545,634,016,832,841,941,362,247,628,022,850,604,613,907,351,103,464,645,
208,486,690,982,338,701,184,302,729,255,681,657,670,644,188,042,545,137,401,
853,212,966,392,811,721,413,877,155,082,676,098,109,167,519,171,843,226,183,
086,090,399,850,577,322,675,995,238,004,334,829,083,325,632,105,949,768,994,
778,583,044,640,085,555,515,334,457,455,043,424,688,814,391,824,440,792,914,
032,448,347,670,123,743,345,718,644,413,858,461,414,284,275,024,609,784,050,
237,482,472,305,589,753,447,788,167,041,173,998,476,263,275,778,502,547,632,
063,185,281,631,198,528,232,186,297,599,436,726,633,450,996,721,263,671,802,
943,618,728,784,049,751,172,648,009,277,338,967,340,002,429,896,000,368,306,
734,955,907,639,813,044,016,347,138,991,355,025,736,704,050,867,300,525,664,
627,523,550,491,627,375,574,261,780,275,010,061,398,244,934,531,182,421,520,
519,718,843,598,456,972,172,126,056,502,212,322,592,155,531,930,017,608,413,
383,876,044,080,596,061,902,711,757,359,578,433,524,810,683,514,952,852,806,
804,196,925,237,134,072,114,450,432,742,260,879,367,650,959,712,488,864,691,
908,979,560,842,054,655,868,196,920,410,576,210,367,910,140,150,530,918,124,
555,009,061,357,870,508,729,814,266,637,882,678,808,220,656,534,710,954,236,
681,601,271,816,330,688,622,554,581,688,288,047,999,264,063,360,170,892,220,
662,252,706,700,460,986,661,549,125,972,203,702,092,629,802,149,658,653,109,
834,089,452,800,680,802,891,225,081,108,254,916,913,651,423,023,378,071,262,
098,510,704,961,275,169,342,609,922,186,283,121,332,885,161,151,800,725,672,
031,266,737,971,725,709,370,365,528,361,250,659,297,317,555,696,990,096,697,
507,270,321,989,887,479,684,543,276,383,239,545,451,872,871,614,726,055,797,
963,588,636,497,010,072,469,833,841,203,774,512,269,882,869,101,679,767,425,
912,368,780,543,967,613,667,398,311,937,830,823,967,021,239,077,473,849,929,
599,314,374,294,151,130,186,300,520,883,135,131,966,261,768,866,548,266,246,
870,533,453,675,514,091,728,542,482,547,036,448,336,082,227,201,857,391,896,
386,846,048,679,486,839,977,037,295,120,624,818,813,244,850,420,544,940,552,
494,291,307,483,097,218,390,330,475,394,296,535,307,051,369,695,166,532,979,
245,557,242,955,533,069,803,976,825,334,287,101,506,857,905,462,210,422,547,
934,277,872,423,457,667,087,183,816,969,342,607,754,479,604,498,537,415,928,
570,149,934,596,002,032,141,429,676,819,306,683,706,893,311,866,904,391,176,
415,275,747,524,331,180,573,399,196,957,224,202,415,996,303,410,989,109,968,
166,113,870,057,389,389,475,216,720,786,939,545,181,296,159,010,090,963,989,
211,586,446,566,781,702,756,155,017,894,673,727,169,265,384,123,578,214,794,
638,468,874,507,486,665,779,598,885,310,695,312,341,569,249,131,524,380,705,
812,680,286,063,951,228,961,766,788,669,415,690,451,383,202,306,138,574,731,
853,458,342,194,095,832,321,467,691,707,264,487,098,083,500,526,481,602,687,
192,662,449,811,193,560,317,912,062,661,826,933,695,894,998,621,065,869,117,
895,979,673,545,001,716,319,432,872,542,653,803,838,274,839,977,779,527,810,
566,935,351,652,379,819,470,336,794,234,607,519,584,115,605,243,750,779,242,
125,167,893,310,570,177,686,499,179,888,852,853,234,959,308,693,459,018,038,
760,331,829,942,215,734,330,832,250,625,019,612,865,085,402,724,796,228,024,
258,902,918,989,518,161,633,024,383,894,746,752,364,503,813,649,411,603,964,
842,893,052,173,323,829,624,131,939,166,148,009,675,600,087,733,138,474,725,
360,554,312,495,176,711,790,894,165,595,157,519,909,754,035,470,403,665,275,
129,091,007,988,974,878,968,678,950,027,731,613,056,997,986,579,149,993,009,
080,187,807,347,165,604,888,593,937,564,677,982,707,222,814,731,912,298,080,
165,656,296,415,861,225,829,484,608,839,745,568,719,400,729,064,098,148,093,
854,625,496,198,032,521,523,195,288,410,465,042,324,005,325,770,828,578,010,
644,365,772,617,164,107,768,882,007,222,823,707,104,577,258,875,479,126,694,
992,482,604,685,305,601,998,708,613,310,523,946,041,306,050,238,569,209,178,
231,881,349,162,511,894,191,781,310,457,260,208,373,980,609,385,699,630,219,
465,675,080,543,834,602,024,114,763,958,297,514,146,140,557,524,894,520,092,
752,524,710,759,127,276,786,280,050,145,150,668,151,781,322,469,069,839,804,
842,362,397,697,131,872,195,451,749,167,786,353,925,183,665,607,452,080,689,
562,553,356,678,364,221,349,084,857,373,494,979,588,404,656,302,474,007,269,
123,008,353,848,214,911,144,251,285,341,545,363,700,328,954,804,424,669,074,
676,045,464,112,687,625,486,458,135,999,670,243,101,518,879,700,229,277,174,
860,332,588,371,477,900,644,763,099,479,809,303,126,442,882,048,566,009,325,
904,090,885,060,170,456,567,601,472,288,758,967,293,110,850,399,109,533,058,
283,482,687,427,479,567,867,159,979,704,087,161,864,679,979,684,651,613,731,
158,568,334,213,615,796,936,505,512,403,893,690,146,991,178,954,295,746,300,
055,083,437,710,746,605,583,989,698,880,487,027,786,829,412,654,694,521,288,
423,246,998,789,459,405,461,624,399,703,676,681,024,574,987,752,723,930,606,
701,110,439,951,639,190,340,926,084,354,980,523,378,444,877,433,163,199,977,
809,248,712,021,255,656,059,978,461,021,004,511,099,834,854,236,138,681,951,
599,340,232,513,129,869,217,017,651,417,690,331,578,677,348,916,262,101,180,
710,735,074,047,792,097,746,487,453,780,678,414,813,546,038,501,074,209,510,
921,797,127,997,127,792,912,379,507,422,282,916,486,578,347,866,940,853,720,
518,490,561,294,735,908,370,872,875,266,104,245,183,169,317,076,283,526,590,
616,522,893,823,284,744,886,228,191,255,446,554,635,948,908,294,289,399,894,
195,735,795,722,200,717,053,094,361,536,821,376,980,114,208,428,191,456,320,
473,123,729,306,596,744,609,001,273,610,581,954,149,751,964,132,894,628,703,
451,665,318,066,405,707,758,820,536,324,405,158,095,291,803,595,813,609,022,
982,424,151,569,512,921,566,899,437,417,364,487,835,784,602,975,622,263,565,
756,026,371,178,492,468,822,089,655,235,325,049,548,851,698,580,915,690,979,
629,098,844,070,652,278,665,525,928,906,342,791,246,621,049,623,215,111,540,
360,988,174,195,158,113,427,283,025,875,311,593,917,841,045,802,051,628,412,
498,250,397,444,237,907,424,369,804,676,933,824,720,369,447,644,355,341,935,
467,689,494,648,277,071,776,085,253,873,955,595,532,939,662,444,601,756,369,
753,045,838,485,489,074,530,618,268,014,295,728,055,172,767,429,983,798,731,
750,733,796,854,067,083,588,640,032,645,176,088,177,029,462,439,100,787,064,
857,293,945,478,048,681,078,564,065,181,404,660,953,209,594,986,607,389,020,
844,790,122,946,142,654,277,436,588,676,340,690,868,701,459,970,402,592,520,
498,247,450,932,935,907,772,352,175,512,561,752,813,371,114,782,764,056,043,
170,277,519,504,543,491,618,401,876,248,703,945,733,619,633,064,083,174,734,
747,496,018,727,109,841,878,071,260,205,120,802,371,091,603,391,106,017,988,
603,134,843,171,348,398,346,449,355,325,651,333,935,771,165,116,811,607,476,
791,523,028,350,318,788,427,305,140,015,507,231,040,781,271,192,676,478,141,
992,193,406,770,616,863,835,097,204,991,674,264,481,137,546,675,225,379,191,
506,208,467,457,108,220,683,121,587,464,693,150,143,747,694,808,977,585,169,
442,496,199,065,371,838,933,908,383,533,017,145,559,873,388,579,938,093,860,
599,831,692,370,217,838,688,058,809,853,863,182,047,535,120,829,901,647,920,
469,390,087,733,589,625,651,911,218,682,887,218,336,988,071,887,782,470,016,
451,950,874,784,751,618,064,583,899,576,072,015,275,363,011,087,165,342,840,
819,760,051,587,769,569,883,173,259,534,810,363,286,281,470,138,407,454,449,
637,989,662,798,301,977,120,607,804,669,926,627,561,510,024,842,673,857,170,
433,268,121,960,937,586,190,383,094,377,580,931,615,391,828,094,322,302,460,
985,159,125,290,609,204,039,367,261,616,109,620,498,981,384,302,933,089,534,
102,366,049,540,700,989,410,923,371,639,969,139,165,927,743,405,843,360,224,
501,314,624,591,014,955,077,786,576,711,909,203,232,750,741,280,375,601,734,
530,069,550,961,792,021,592,943,641,435,176,229,815,640,811,924,068,731,725,
026,256,106,129,736,720,522,883,080,723,653,200,996,908,891,827,357,524,203,
358,756,696,825,895,388,448,404,698,758,749,879,182,397,868,191,817,202,784,
706,278,045,633,917,250,406,560,371,131,677,350,528,768,798,149,155,106,640,
943,516,943,193,403,773,190,104,561,577,219,028,433,168,187,488,035,501,821,
831,818,443,586,785,530,218,262,626,098,031,785,945,234,642,794,843,098,624,
605,008,298,418,667,468,627,269,143,840,471,480,331,723,085,226,625,702,384,
423,209,999,660,207,599,949,014,953,019,598,277,906,170,945,949,695,461,256,
592,719,820,977,793,557,818,088,088,789,401,529,955,939,129,122,096,248,448,
321,792,287,572,948,946,536,222,800,242,402,544,173,276,148,481,839,341,975,
707,765,241,900,639,156,687,057,784,674,465,773,089,470,000,671,681,630,372,
239,315,230,591,240,664,563,721,612,347,606,665,216,560,008,062,386,505,663,
301,576,348,409,376,085,688,903,975,895,577,895,739,006,057,030,811,924,442,
843,969,968,046,926,259,158,991,533,130,286,606,724,361,874,083,391,812,849,
791,883,920,480,919,426,429,830,330,172,637,179,874,446,511,508,071,254,587,
344,361,682,182,013,588,900,303,809,451,210,941,779,271,159,512,811,879,511,
216,126,686,798,892,741,305,111,501,976,445,929,637,775,367,820,841,762,777,
420,366,484,259,273,209,314,082,138,229,751,512,071,531,953,030,147,773,657,
052,338,442,170,665,177,730,000,122,043,759,539,948,418,913,866,335,478,875,
064,585,622,804,438,252,444,100,656,683,953,234,968,253,362,073,340,850,342,
556,105,303,364,350,259,692,481,625,600,638,008,724,490,680,735,593,438,936,
666,446,824,856,769,415,875,998,381,512,618,291,711,394,863,591,595,292,617,
207,550,550,629,937,494,793,061,397,756,094,304,157,845,293,708,145,254,115,
007,446,431,121,537,265,721,010,221,320,437,539,797,342,515,354,340,549,202,
217,085,238,372,623,645,700,234,489,743,863,211,244,227,704,545,707,740,545,
019,416,540,417,198,828,374,591,145,272,936,254,846,505,737,951,149,639,884,
628,781,135,074,922,195,296,689,945,196,033,501,290,536,638,461,837,300,532,
536,934,352,978,358,245,120,872,922,235,109,487,361,537,547,960,667,010,521,
772,878,410,125,073,612,645,852,534,455,038,479,551,242,388,842,511,676,049,
512,252,919,566,480,710,585,530,129,913,015,578,681,948,661,194,620,937,623,
057,172,486,596,149,201,819,222,065,109,293,301,912,172,678,832,225,633,274,
052,524,956,183,845,521,714,744,740,597,391,158,340,887,733,819,477,326,131,
304,175,971,619,037,925,792,421,658,369,559,092,658,531,184,903,278,660,816,
606,461,548,502,632,571,405,445,779,645,156,464,000,097,454,739,350,186,262,
755,366,106,399,284,583,471,558,664,699,020,987,870,850,064,989,653,374,989,
773,017,100,915,882,896,204,207,524,975,588,996,515,747,133,198,442,351,606,
483,142,081,273,253,587,240,223,344,652,602,907,200,838,931,136,794,710,467,
475,282,673,673,166,154,223,448,134,288,958,569,649,224,741,759,476,886,931,
786,918,998,691,159,872,411,210,250,205,150,011,418,785,305,467,028,116,871,
311,181,889,401,360,645,638,714,516,425,589,747,977,788,316,084,162,251,018,
790,948,705,095,298,123,742,637,798,293,878,405,201,214,201,372,658,572,798,
169,696,054,936,186,535,046,382,817,837,248,126,834,490,468,348,979,659,373,
063,441,593,016,166,229,632,590,695,010,352,709,864,331,902,438,165,326,994,
025,688,140,429,552,643,717,989,127,887,303,166,138,133,957,961,953,989,799,
012,030,668,391,708,119,155,347,802,395,739,595,970,902,552,621,273,004,732,
268,579,879,099,900,489,235,682,796,409,108,059,103,519,260,663,606,208,223,
392,587,563,448,655,143,640,647,788,827,391,123,469,728,412,293,066,337,273,
406,269,995,799,764,373,309,318,733,350,499,744,099,884,917,725,646,214,022,
891,939,896,598,359,145,588,514,917,127,548,230,101,893,166,965,923,598,291,
441,253,531,195,391,667,237,590,369,275,374,285,348,675,187,766,593,893,147,
444,909,379,038,929,341,207,415,929,800,345,410,098,448,340,811,590,202,199,
912,586,296,740,252,682,993,998,910,246,155,692,774,761,117,584,748,869,928,
625,940,569,934,720,669,251,485,864,124,917,955,507,913,349,552,868,646,740,
037,351,255,744,535,046,960,615,781,713,803,083,971,605,173,040,678,308,062,
302,544,316,052,183,431,230,975,972,087,369,802,191,421,896,979,855,038,114,
403,937,614,478,151,904,778,771,234,401,555,012,022,945,778,071,166,405,838,
462,217,904,164,285,634,831,980,280,369,902,093,814,239,896,947,029,036,720,
655,725,479,864,626,262,187,673,835,711,570,049,783,740,693,575,261,024,394,
131,402,903,603,281,636,372,891,651,217,878,356,266,170,495,885,620,874,282,
404,356,780,221,792,926,017,379,186,392,070,738,131,713,485,926,626,355,040,
872,864,188,913,622,111,312,289,550,953,043,189,486,026,123,906,691,426,758,
106,418,759,619,037,472,715,351,007,281,747,920,537,473,819,999,115,537,958,
371,752,531,390,330,420,613,093,397,053,562,449,170,513,210,110,394,879,191,
934,792,776,427,376,754,735,999,472,969,721,449,050,073,570,656,850,018,606,
771,617,001,010,892,396,413,216,861,832,992,132,691,236,327,953,834,983,064,
170,922,385,780,936,464,033,870,758,203,585,213,356,723,456,497,085,573,094,
987,725,745,737,253,278,593,082,360,144,953,725,095,544,630,677,560,842,800,
460,494,746,188,492,517,144,244,652,529,689,383,086,040,483,223,405,489,303,
120,888,112,202,270,258,137,393,336,483,444,643,629,440,593,213,303,359,068,
761,973,544,442,167,053,730,446,507,362,425,256,442,001,581,715,097,483,656,
274,671,713,243,643,462,987,729,620,531,928,898,795,076,194,455,711,490,199,
251,327,719,032,581,520,959,591,688,788,821,141,290,740,777,439,687,468,205,
469,312,501,380,946,984,924,726,035,406,655,337,590,004,340,686,614,840,415,
558,625,352,469,505,222,193,165,529,103,120,203,554,682,461,576,621,649,949,
522,442,456,767,377,185,306,487,717,152,949,002,010,402,291,892,014,925,700,
329,167,363,771,773,864,355,514,021,149,624,937,131,211,841,147,320,839,266,
373,406,214,232,272,456,365,959,227,314,502,385,979,093,488,613,652,550,043,
647,722,618,585,132,206,897,384,473,686,205,012,930,534,763,188,016,240,349,
467,187,588,444,005,658,168,823,988,902,840,932,139,210,045,853,669,857,878,
910,184,548,081,864,458,404,810,790,189,901,869,448,563,306,044,950,059,018,
447,499,695,963,527,383,380,648,969,746,926,949,968,473,477,081,612,312,844,
964,187,184,151,661,370,399,674,802,074,380,178,906,056,683,143,881,873,898,
268,698,519,382,978,717,621,661,950,862,597,011,176,936,009,359,156,960,678,
593,241,255,365,541,799,064,356,780,227,834,675,362,218,854,337,518,601,735,
703,855,155,418,523,165,058,080,779,736,510,607,856,513,038,983,474,658,517,
142,637,238,009,828,890,976,811,491,897,167,480,456,126,805,396,865,286,562,
582,655,764,153,548,164,860,681,171,368,196,460,862,380,738,140,838,360,649,
114,489,000,498,311,241,969,353,982,777,434,179,028,704,864,583,642,769,768,
145,392,589,090,871,738,041,693,248,371,649,055,655,617,392,484,890,853,597,
699,137,129,038,624,047,725,921,704,812,956,293,374,521,524,462,935,351,855,
192,578,285,432,122,331,972,454,779,163,899,911,904,096,467,386,315,568,868,
707,034,888,877,889,310,910,003,798,682,448,214,854,442,523,936,615,471,201,
259,784,792,194,525,929,098,110,043,818,015,484,370,689,318,268,156,654,193,
381,916,914,798,654,305,800,893,261,281,519,122,510,454,054,680,933,420,160,
343,173,428,610,932,097,020,462,969,538,566,408,300,431,396,026,011,385,385,
570,878,925,895,790,219,478,199,778,856,852,195,711,721,782,777,376,863,491,
304,081,039,664,141,850,932,399,935,093,093,981,454,867,444,456,767,013,982,
455,220,243,205,515,751,797,165,343,610,157,752,636,158,715,288,134,838,777,
406,281,470,623,877,808,007,085,200,980,253,635,568,680,887,282,137,413,843,
711,099,847,542,199,693,526,450,025,942,086,443,983,916,146,191,828,990,672,
661,412,041,093,009,101,890,100,473,283,033,983,479,744,673,210,075,845,161,
648,388,525,492,660,791,497,655,097,595,014,154,382,178,477,769,905,700,605,
347,697,256,447,593,283,146,768,035,921,417,262,112,317,146,034,476,224,935,
296,893,061,716,036,643,468,199,883,737,290,003,387,809,586,683,737,432,338,
103,354,111,019,403,137,111,642,789,302,046,702,002,871,632,429,072,639,584,
591,645,671,510,007,355,063,914,272,732,211,288,696,886,615,923,109,982,829,
435,304,020,887,360,635,367,260,264,168,507,435,164,499,280,015,022,582,107,
460,482,087,825,270,600,619,550,500,351,650,063,529,268,943,933,237,182,289,
555,850,840,089,908,792,259,241,318,703,532,187,135,888,462,394,251,070,476,
169,050,253,297,821,722,462,647,806,748,087,306,691,484,382,185,509,200,521,
014,670,032,863,523,162,304,465,729,977,056,108,577,034,941,249,134,183,951,
813,039,930,035,522,884,283,759,661,200,719,839,374,142,966,935,147,827,554,
587,877,148,183,197,102,658,122,454,324,341,248,531,141,239,337,219,851,310,
497,874,707,683,906,976,831,950,283,685,590,973,861,965,833,376,105,933,399,
054,769,013,548,238,264,430,340,939,720,199,017,978,971,312,507,898,579,819,
051,632,084,109,543,630,281,225,772,332,814,476,317,993,380,126,557,099,851,
145,042,017,528,745,673,888,028,271,849,152,211,126,472,737,768,068,961,020,
690,004,508,962,804,259,766,650,712,695,165,618,407,962,999,727,785,176,596,
544,018,333,076,394,586,510,330,947,865,888,347,560,594,208,319,587,799,430,
333,109,225,350,062,899,537,562,438,685,964,499,100,520,241,746,225,387,694,
786,602,597,191,582,011,662,697,635,583,397,715,888,640,237,309,491,365,746,
837,199,303,495,638,744,719,756,320,988,480,391,324,086,029,964,766,883,770,
508,489,728,270,359,455,426,931,435,290,234,644,910,223,425,929,750,594,585,
678,980,377,475,669,342,732,282,188,362,797,710,689,968,501,750,257,490,981,
684,236,794,985,340,366,255,050,901,629,961,749,179,705,285,173,944,563,846,
230,956,409,888,500,941,982,177,663,245,254,733,103,966,237,150,463,810,049,
878,146,713,866,976,724,851,602,977,761,540,067,558,187,551,104,494,402,828,
952,700,452,826,739,096,136,724,466,792,123,449,585,823,760,073,469,898,334,
473,987,960,543,567,407,229,344,455,210,613,849,714,676,792,470,739,837,592,
486,941,761,538,268,410,727,803,742,778,262,185,793,283,455,139,317,191,201,
016,701,490,514,602,007,350,746,294,948,526,389,935,735,368,604,240,372,052,
081,408,238,381,002,417,457,391,074,114,867,638,205,348,624,036,287,135,799,
643,362,750,667,241,927,564,806,929,548,858,398,010,652,906,334,497,127,880,
380,736,580,698,905,699,581,559,760,238,170,854,379,614,578,175,690,948,412,
097,932,173,146,522,284,928,925,835,327,925,319,618,035,444,801,448,447,918,
661,852,944,612,181,630,146,586,384,076,292,710,134,913,269,531,012,949,552,
566,543,636,385,424,118,910,978,410,470,405,353,421,555,516,384,037,234,494,
258,849,115,820,950,458,045,143,562,546,500,894,331,954,831,284,100,171,416,
904,276,003,053,720,158,199,735,645,143,940,905,436,805,012,633,570,392,279,
433,461,378,181,823,477,098,310,417,505,608,400,562,426,394,983,221,618,093,
506,827,026,929,347,758,706,919,493,677,935,196,848,891,654,986,878,002,045,
269,769,293,845,555,653,967,213,364,657,449,400,267,931,294,487,586,094,774,
601,991,506,685,026,284,035,440,457,330,207,714,119,435,593,422,524,846,804,
708,431,442,869,884,057,426,118,708,778,011,970,599,314,811,551,173,973,690,
216,251,772,604,012,216,439,794,861,290,157,230,006,967,360,102,307,775,920,
873,128,103,781,265,636,718,465,829,606,627,998,931,584,377,421,222,324,767,
088,165,865,733,889,795,082,635,648,868,670,281,741,710,956,583,352,642,175,
839,228,577,188,989,481,942,197,006,974,013,875,869,054,490,976,959,248,109,
558,487,853,840,029,977,459,772,153,038,917,660,552,743,357,287,475,191,400,
555,780,861,998,745,591,198,420,895,355,900,811,656,039,522,534,881,760,634,
447,169,589,452,588,564,440,008,051,367,591,724,558,674,133,512,898,683,067,
340,143,414,036,158,112,869,920,526,900,433,754,304,303,746,843,256,617,615,
036,069,650,915,857,189,216,188,882,717,665,929,298,866,385,698,286,167,696,
445,874,190,329,771,251,761,577,313,004,641,252,924,909,297,266,199,244,426,
786,000,860,385,851,244,003,001,932,348,705,577,951,342,572,324,253,343,658,
072,373,657,971,650,552,443,048,321,786,624,127,035,594,575,990,103,548,101,
763,727,622,422,830,491,750,896,080,648,993,616,093,345,796,875,868,305,960,
568,963,122,528,577,601,451,731,807,081,840,004,626,400,976,357,018,285,415,
078,347,496,925,720,690,134,613,991,039,597,469,319,705,315,434,910,783,401,
333,566,130,245,723,401,389,052,463,565,610,120,675,809,459,950,172,707,787,
137,192,475,702,521,748,443,543,352,919,496,846,484,902,268,086,132,911,400,
191,002,250,695,956,335,592,802,080,636,018,554,516,742,468,608,009,809,445,
111,874,541,735,438,575,335,723,348,480,159,214,991,599,399,166,066,966,439,
956,824,581,192,325,456,428,000,078,803,096,418,481,033,948,139,085,651,706,
487,427,618,323,192,063,229,417,229,557,681,884,505,310,270,991,464,969,950,
166,584,250,686,724,478,053,467,457,180,660,320,089,843,805,259,601,139,630,
053,651,270,722,027,061,014,968,245,218,109,652,100,235,132,598,151,191,495,
577,361,143,899,314,908,611,628,630,091,661,534,027,074,403,266,200,340,997,
831,848,394,068,250,714,259,262,794,005,148,094,467,109,118,210,504,010,103,
939,608,302,837,001,355,465,857,369,981,967,084,695,353,026,426,187,914,976,
714,241,112,571,510,704,765,646,132,655,905,856,614,166,803,718,218,094,785,
020,479,251,326,223,504,464,868,689,120,809,313,120,122,911,197,323,056,312,
255,591,995,006,595,252,536,306,179,376,263,689,194,320,822,279,096,299,412,
705,876,643,239,734,930,220,093,316,043,583,947,471,277,013,794,903,068,854,
370,471,960,712,599,912,088,136,961,031,908,702,225,036,828,982,364,371,391,
790,051,828,986,080,828,425,631,107,849,115,918,220,887,646,936,386,433,764,
152,288,683,635,211,846,370,576,383,492,337,184,569,739,786,421,090,562,608,
963,285,399,792,831,681,508,396,944,884,302,599,989,092,440,292,049,327,122,
702,283,484,749,300,117,942,227,513,649,776,808,971,494,678,376,728,754,399,
873,695,943,115,964,596,813,511,502,506,741,239,568,287,707,000,330,789,736,
949,249,353,905,107,894,030,577,277,874,629,392,083,706,528,617,341,784,060,
395,151,615,677,936,710,224,366,819,333,155,412,543,600,652,190,302,683,142,
085,635,930,493,717,714,729,151,383,057,182,982,472,552,018,821,088,594,372,
200,902,661,988,292,356,927,551,353,752,236,417,288,008,100,770,633,785,063,
791,379,651,487,768,243,793,180,485,463,001,256,844,607,895,033,938,041,433,
931,574,109,687,796,771,862,444,021,214,227,123,719,577,094,640,749,029,713,
355,959,801,278,080,466,892,822,093,910,913,093,461,422,387,888,314,863,215,
776,270,029,442,535,250,520,887,161,607,277,277,711,236,283,320,794,292,170,
343,653,451,284,454,805,161,757,982,697,624,140,940,539,199,246,085,134,123,
443,976,961,595,527,873,397,970,654,397,074,791,924,275,581,550,636,466,624,
001,170,536,439,462,249,088,089,396,131,910,599,147,138,655,393,535,844,288,
433,470,321,640,584,969,962,704,219,275,346,047,952,135,910,938,872,776,037,
334,175,839,388,165,603,397,111,611,502,852,341,916,868,262,048,604,472,749,
805,324,059,075,918,298,630,346,189,282,608,785,354,193,710,816,733,383,272,
632,200,935,358,818,460,573,777,455,914,197,875,975,401,837,849,906,742,773,
009,393,783,315,482,679,152,075,548,236,315,653,171,467,642,562,665,203,506,
500,389,288,529,615,288,772,449,094,171,927,975,691,063,270,745,211,717,488,
078,695,778,504,520,834,703,668,321,289,689,977,802,896,919,982,577,248,191,
747,051,979,933,346,534,844,028,558,415,758,063,059,909,257,431,793,522,071,
604,401,433,002,499,956,602,459,554,511,284,865,219,842,501,661,514,096,179,
660,020,132,332,697,300,025,468,691,823,139,406,437,473,640,500,660,940,389,
152,986,102,725,627,475,007,714,965,033,792,051,034,823,047,241,840,907,493,
688,740,445,714,061,044,160,244,315,296,948,023,980,406,816,053,608,432,416,
889,508,111,508,545,599,012,775,896,789,494,053,171,452,306,685,236,049,705,
728,823,901,965,362,497,765,627,078,045,754,915,121,768,705,492,834,356,678,
441,585,774,737,293,603,979,704,886,567,735,155,847,220,505,421,428,784,635,
960,270,772,188,313,219,164,972,014,805,871,501,926,679,332,963,471,051,824,
781,578,160,755,235,920,730,917,739,126,086,887,874,920,405,419,164,752,244,
433,203,425,413,219,336,521,538,053,256,912,157,898,894,809,979,632,673,608,
028,851,596,503,029,169,750,938,722,012,575,329,081,767,571,256,921,922,643,
689,975,237,435,466,990,067,432,082,332,863,976,156,599,344,127,391,156,780,
600,072,991,296,600,129,131,714,284,383,456,505,355,097,975,558,174,952,550,
934,274,944,839,187,837,329,107,852,419,490,292,277,709,610,981,564,447,453,
626,808,044,105,030,276,672,491,031,452,863,978,857,451,457,517,228,656,296,
034,428,836,648,594,834,344,004,214,820,965,137,867,738,774,559,163,179,213,
620,281,401,987,543,221,006,514,624,120,397,941,515,126,513,934,255,916,910,
146,495,061,123,749,574,125,415,913,307,048,601,302,137,658,934,524,951,824,
887,600,342,841,051,380,332,413,823,330,810,001,218,428,965,197,850,748,946,
985,562,764,385,933,020,906,304,937,024,326,999,062,694,093,338,609,361,987,
454,186,909,776,778,176,139,965,132,445,743,972,651,211,315,698,798,327,107,
583,319,641,183,167,658,107,903,899,622,230,295,118,769,575,981,350,070,434,
576,003,852,218,902,799,730,782,080,036,609,054,456,938,559,461,560,493,020,
143,436,704,208,802,310,172,871,060,870,966,447,831,483,020,796,959,620,797,
362,989,249,264,672,156,456,586,459,332,944,337,360,542,846,510,283,652,005,
226,322,173,104,474,380,792,302,853,796,331,984,617,043,242,182,977,944,188,
104,479,386,808,444,415,441,021,568,822,715,162,272,596,050,657,009,801,551,
174,654,311,378,817,842,253,563,791,804,220,073,573,334,863,754,528,368,712,
716,081,962,641,668,256,445,166,382,879,176,124,750,993,029,275,085,865,898,
032,817,181,582,065,107,917,634,141,318,073,910,454,204,167,457,791,629,860,
354,291,780,362,839,635,925,164,312,585,801,275,976,880,679,896,762,545,778,
161,812,721,417,304,821,820,554,609,848,647,865,833,401,765,429,161,644,692,
164,966,967,226,390,915,886,670,549,458,356,547,437,934,346,518,829,111,553,
824,037,539,861,558,005,437,108,034,443,893,221,208,037,406,338,662,300,342,
600,492,293,419,382,188,036,750,221,614,994,770,196,187,215,823,985,362,559,
368,451,052,303,706,368,402,077,867,289,350,699,095,890,379,722,217,107,154,
600,979,964,842,003,982,641,371,067,417,406,944,866,176,276,811,751,995,639,
910,718,391,220,623,173,501,898,041,412,011,575,598,844,109,830,582,256,929,
250,765,425,979,801,543,072,602,891,371,564,485,241,885,468,300,866,900,654,
537,044,663,745,987,207,842,594,006,115,210,534,703,876,252,411,441,354,765,
922,983,613,626,709,295,754,899,640,222,847,633,523,960,007,370,765,766,981,
193,492,935,977,310,033,970,640,123,278,790,718,955,017,348,554,268,783,917,
494,041,055,754,072,744,076,725,879,907,703,471,273,954,975,066,904,363,973,
822,002,376,999,123,563,890,591,264,017,497,566,993,536,079,396,995,457,389,
466,772,484,756,017,712,804,937,676,834,833,854,287,664,149,501,652,505,582,
997,585,207,687,456,264,134,242,373,962,967,804,992,087,661,678,846,874,559,
487,204,495,352,126,836,093,092,326,506,998,135,360,325,687,730,166,255,517,
323,076,289,549,620,556,098,849,724,325,476,115,944,936,227,918,017,636,057,
466,934,126,432,287,371,823,877,794,596,725,379,467,933,000,923,430,294,165,
800,332,193,502,476,847,045,883,131,604,634,143,681,446,723,432,849,445,523,
320,849,830,084,542,809,765,542,133,998,809,956,884,862,298,147,108,130,876,
555,272,741,904,141,123,467,805,309,416,551,650,180,118,874,276,795,496,366,
876,128,275,556,479,588,695,798,984,290,134,772,875,797,083,965,030,690,696,
599,391,533,505,526,783,783,666,157,511,129,979,929,803,935,224,546,747,304,
361,238,333,181,849,127,909,718,355,712,149,817,809,549,065,435,662,472,599,
346,402,605,865,762,747,862,116,370,045,025,418,326,266,799,346,837,436,812,
166,079,299,633,785,663,218,266,177,648,948,664,528,087,539,332,156,786,037,
149,124,196,910,672,432,633,973,472,500,044,967,240,000,707,699,849,435,799,
249,672,347,082,977,757,740,856,850,652,956,161,540,431,194,406,919,681,021,
804,223,845,391,813,722,913,345,379,154,808,777,273,962,039,704,011,511,635,
714,643,518,443,378,649,208,200,322,716,924,800,562,552,372,467,761,341,678,
854,065,862,389,942,863,601,381,742,444,024,810,550,599,953,989,978,329,108,
500,696,741,475,901,199,472,221,290,603,490,368,155,955,673,452,750,235,930,
365,421,525,515,935,313,000,080,939,930,444,499,155,849,348,241,201,914,191,
969,654,923,195,978,854,654,182,622,160,148,693,280,659,232,425,830,646,689,
675,056,841,396,456,384,870,821,366,689,768,973,726,167,691,406,429,669,174,
675,750,830,463,214,404,445,142,816,711,125,048,369,671,537,882,435,283,439,
796,432,075,015,395,910,363,939,911,354,998,670,984,321,258,599,594,836,565,
533,264,309,850,411,321,661,543,975,992,017,941,986,720,606,851,760,381,213,
739,367,171,944,576,698,041,609,127,410,906,492,640,117,281,646,851,063,871,
975,199,870,332,453,811,543,501,407,920,286,710,185,102,271,972,227,769,328,
826,839,916,655,992,815,413,365,104,361,797,335,782,812,697,002,875,015,804,
227,228,077,259,468,329,909,537,373,642,582,625,544,323,192,365,923,513,775,
552,871,180,765,492,842,522,052,803,371,222,680,638,531,344,012,062,465,435,
399,943,217,242,486,091,434,693,992,122,754,205,893,864,887,350,147,153,627,
935,496,840,897,341,807,934,038,456,702,863,137,686,853,055,981,907,941,849,
823,211,732,020,399,347,257,630,289,899,622,527,735,382,491,533,593,416,447,
647,953,960,917,428,005,017,057,038,556,366,657,783,927,570,256,859,546,916,
446,612,223,210,760,021,107,134,601,435,759,747,375,070,492,132,659,555,678,
849,580,699,481,370,705,486,730,328,727,087,010,515,034,127,909,398,428,938,
281,904,896,901,153,016,107,404,593,292,453,392,599,714,607,959,843,091,430,
234,488,375,366,289,090,296,965,846,642,494,328,743,884,637,232,435,068,684,
124,212,411,763,959,769,314,924,178,098,740,623,857,215,587,615,434,915,165,
138,689,966,390,243,949,704,693,732,568,779,911,082,963,642,720,902,468,870,
537,323,633,249,187,023,236,964,441,529,844,589,259,531,229,709,450,949,935,
489,525,106,872,687,530,487,909,209,847,242,512,360,071,298,882,210,105,134,
429,666,285,585,316,974,422,031,776,697,013,676,910,626,968,781,404,013,244,
021,801,683,353,884,699,284,183,505,354,520,645,464,020,082,256,678,148,440,
945,263,622,593,961,161,041,260,332,625,233,801,270,642,486,738,817,354,760,
816,071,289,600,651,127,846,388,171,915,562,920,410,753,066,164,401,822,714,
473,486,056,096,495,467,871,012,344,597,549,285,922,605,115,266,826,668,822,
193,739,441,528,764,450,613,304,175,786,782,246,844,090,961,599,212,794,471,
926,270,450,602,023,107,150,708,130,411,503,069,993,132,290,732,151,146,136,
905,167,416,453,550,334,382,651,459,010,165,635,491,174,847,201,670,904,467,
974,126,835,033,532,761,721,617,369,427,920,555,143,755,863,510,629,705,898,
019,573,925,129,800,697,224,827,135,549,422,771,250,417,359,858,129,251,102,
999,112,623,031,226,107,924,740,606,065,334,851,607,251,121,560,786,185,262,
568,745,590,765,168,358,155,924,233,256,925,903,457,132,742,057,574,259,608,
902,159,771,532,440,091,241,002,568,239,880,406,083,540,089,829,369,916,394,
495,289,731,849,051,391,380,252,675,505,436,647,124,405,637,087,920,776,580,
350,666,971,228,872,589,675,303,769,941,186,235,091,691,087,967,772,530,831,
574,360,743,944,588,398,648,678,164,018,350,992,573,251,848,549,815,796,126,
679,823,394,094,130,723,354,007,202,583,887,926,849,513,369,940,852,546,242,
393,065,557,440,918,591,291,548,106,768,635,369,070,757,775,554,886,392,097,
420,129,300,457,692,834,474,536,556,311,192,500,155,815,874,646,620,657,406,
166,251,828,161,194,795,726,636,590,276,354,700,311,414,471,486,688,613,164,
402,308,413,058,521,452,530,407,814,812,356,692,956,292,495,852,318,752,402,
551,106,601,249,651,080,915,002,737,187,585,246,459,484,208,547,777,731,386,
545,263,454,730,269,707,419,919,025,138,342,935,992,260,048,552,699,040,325,
969,698,694,106,404,785,649,322,285,584,916,157,584,758,388,682,142,107,663,
188,051,429,780,043,894,498,495,967,102,463,716,923,959,695,644,551,751,922,
052,119,793,727,219,130,692,916,085,023,255,302,174,637,852,303,174,232,283,
672,517,209,994,901,799,364,042,567,402,447,274,227,942,452,415,060,706,003,
264,129,900,772,971,983,354,966,367,043,611,008,828,866,171,947,098,160,834,
317,698,329,681,992,548,266,541,283,393,118,523,292,898,996,845,157,726,026,
479,514,664,860,879,720,256,179,445,225,087,042,071,430,868,636,348,160,636,
277,446,099,964,172,059,812,241,575,194,755,267,271,435,493,300,656,238,364,
810,402,962,893,855,906,908,435,742,225,651,302,065,943,098,425,824,886,656,
038,674,942,283,022,598,493,542,927,526,543,888,789,457,190,383,919,217,997,
592,407,088,312,361,117,105,410,393,005,832,608,015,825,604,146,320,951,512,
232,421,988,274,274,161,285,156,513,416,760,809,512,154,317,963,879,525,867,
204,310,715,398,292,056,300,455,269,295,676,032,067,544,739,460,685,704,460,
968,931,326,922,348,677,427,179,439,100,473,250,797,365,372,965,504,510,202,
595,944,868,360,876,051,734,936,845,649,711,084,849,566,477,830,839,811,309,
365,743,487,923,264,406,328,905,970,662,768,426,558,134,144,357,365,956,830,
676,646,526,584,585,793,204,284,535,296,894,778,892,357,452,533,102,082,108,
645,548,587,473,488,357,283,267,997,459,115,453,356,027,583,756,862,233,831,
167,966,668,122,012,939,643,372,159,481,278,318,715,168,387,553,259,201,845,
039,346,847,884,620,618,560,402,863,218,732,573,398,136,246,478,322,322,556,
394,050,486,761,105,056,081,531,953,112,614,654,322,097,177,269,856,861,429,
674,724,911,856,016,513,974,608,387,548,966,300,446,161,624,653,737,933,682,
580,734,933,922,329,626,641,077,812,158,817,119,675,537,510,226,113,657,635,
505,357,247,968,761,663,310,624,879,500,037,353,924,077,163,562,143,727,763,
044,121,016,249,393,190,178,429,046,294,119,653,499,119,346,961,414,422,416,
761,015,567,616,544,958,935,587,035,034,372,779,112,235,179,680,241,203,091,
362,225,832,718,216,305,495,600,337,565,880,966,544,967,670,153,449,471,367,
802,778,525,158,672,636,386,466,924,896,720,210,617,399,146,336,421,638,895,
512,935,292,110,535,311,015,646,100,883,959,139,645,436,014,153,043,212,779,
389,159,086,098,481,664,757,970,119,601,653,826,644,409,737,076,247,152,052,
929,696,148,684,732,119,844,415,903,704,101,399,680,875,321,079,560,663,406,
624,646,535,007,484,515,115,535,951,229,484,301,148,449,744,643,650,022,656,
390,632,962,258,692,366,673,753,761,614,164,504,511,545,660,079,369,593,116,
252,820,251,272,685,924,348,283,708,541,051,480,917,444,207,123,180,276,856,
743,483,002,146,290,613,564,482,521,193,881,914,602,352,781,475,600,779,924,
222,842,931,033,803,753,927,895,404,507,064,492,626,205,315,400,888,356,323,
901,814,968,860,482,051,349,222,612,719,571,628,191,722,485,363,917,682,175,
810,018,856,795,773,419,089,343,106,300,251,292,256,111,837,082,978,252,357,
380,189,986,366,241,910,924,678,589,483,504,808,788,297,375,016,711,864,273,
880,220,304,281,648,527,417,688,470,890,829,688,717,891,190,669,739,551,281,
767,073,478,561,646,994,399,848,733,475,226,738,634,004,447,827,216,079,674,
597,610,060,904,830,397,537,393,433,290,954,385,705,218,922,374,396,970,820,
960,821,861,235,150,243,923,881,905,067,686,495,813,870,102,967,514,178,723,
452,849,567,409,338,894,496,994,492,343,541,021,570,605,151,631,275,943,048,
604,073,547,315,476,249,621,504,196,229,661,807,289,300,633,308,286,980,216,
759,625,483,543,123,984,670,711,086,223,344,074,653,096,476,658,077,467,871,
528,158,704,798,985,782,809,884,035,475,825,367,314,412,457,445,922,686,288,
269,372,222,215,701,131,299,538,979,673,962,482,501,006,914,319,549,502,345,
304,761,047,642,325,371,275,110,187,427,949,802,320,856,640,932,245,503,540,
551,586,669,194,150,997,311,717,109,020,353,988,264,910,578,349,660,155,417,
822,043,578,616,506,113,341,922,217,566,427,831,242,473,189,623,886,769,778,
552,803,656,039,411,927,146,868,450,176,378,900,713,189,700,121,739,628,026,
278,558,182,477,831,864,394,191,845,933,924,681,402,908,410,548,966,516,961,
368,626,214,576,364,652,664,701,678,910,483,314,721,034,516,367,199,378,693,
705,656,346,228,625,071,157,434,373,935,902,190,118,587,660,633,846,627,824,
427,199,965,970,100,153,364,304,683,378,030,901,093,990,554,576,330,660,683,
224,108,632,455,901,223,124,304,257,759,834,508,399,902,323,762,032,474,082,
110,293,381,596,785,614,767,859,940,717,184,379,048,420,119,203,376,849,383,
815,131,957,355,825,955,171,459,901,944,575,806,185,059,741,150,979,354,094,
774,878,224,341,436,121,587,939,802,759,841,663,536,725,832,264,857,074,016,
578,120,898,600,139,574,121,352,382,832,749,776,211,697,016,917,549,985,753,
680,990,614,278,554,259,419,567,296,520,820,376,518,956,941,808,608,428,286,
005,748,882,712,821,949,425,353,781,839,525,187,792,863,745,354,866,491,359,
423,590,812,564,626,566,687,405,358,834,638,803,447,175,512,592,615,332,599,
742,666,938,596,571,391,243,341,414,084,161,958,679,999,703,471,505,782,815,
486,587,392,077,906,416,332,100,887,548,019,197,215,945,673,939,785,433,190,
174,409,422,973,457,319,443,041,157,507,882,829,078,367,322,599,810,098,173,
078,865,507,511,552,313,987,999,469,447,422,158,006,612,162,181,222,657,664,
130,708,073,659,430,283,430,976,673,516,308,685,080,975,121,857,386,163,129,
802,306,314,829,227,563,955,889,938,850,400,148,207,627,288,654,456,605,682,
189,487,086,738,246,546,297,826,182,863,725,933,492,096,411,694,853,646,045,
856,691,615,641,740,247,983,337,970,759,136,632,020,914,552,184,655,839,434,
652,137,038,372,479,344,992,173,457,809,552,856,520,918,162,591,053,926,582,
144,936,088,987,585,298,774,870,285,887,529,934,378,324,404,758,982,315,898,
562,978,063,840,963,112,477,999,229,165,336,894,712,299,521,511,841,348,227,
331,426,207,012,548,618,119,218,721,507,637,123,438,001,826,439,941,456,084,
142,487,259,815,784,723,981,897,289,311,775,672,291,933,398,277,354,159,472,
372,058,921,442,966,398,645,620,291,530,692,418,390,536,902,358,533,034,414,
660,719,275,754,117,217,887,437,355,880,669,439,820,494,900,083,338,318,802,
903,122,975,045,435,281,347,979,375,231,894,702,079,491,798,794,449,891,558,
743,329,280,172,682,407,198,753,514,905,098,588,087,353,392,999,425,100,063,
192,700,191,490,666,185,264,026,858,546,830,080,111,098,526,904,876,364,108,
407,818,394,330,703,406,210,648,757,553,213,074,674,238,408,892,754,365,411,
237,948,376,387,585,164,693,544,601,268,024,863,084,267,270,830,807,658,087,
155,405,481,894,381,978,768,529,627,485,504,574,685,511,774,801,479,796,901,
743,216,232,375,484,723,810,027,510,789,692,960,649,927,531,500,362,915,546,
487,650,177,952,797,929,951,949,531,731,960,907,328,437,813,072,171,267,463,
534,773,399,327,214,885,069,255,077,051,483,869,540,827,063,366,603,352,745,
811,529,618,538,237,228,583,073,247,792,309,609,301,973,344,140,924,311,808,
634,185,892,878,915,585,592,188,945,325,727,753,451,067,520,456,377,934,004,
819,977,253,102,807,223,584,078,817,269,149,777,897,605,904,718,653,145,901,
606,325,571,904,254,746,808,569,703,820,662,124,199,314,695,107,498,773,038,
256,796,468,541,353,968,611,145,699,043,054,261,772,652,108,427,387,715,608,
671,586,303,911,129,543,082,404,891,839,719,803,011,199,437,069,137,905,821,
545,302,700,938,555,869,770,409,645,692,741,978,456,866,732,164,500,705,752,
777,631,391,138,006,354,101,990,520,234,756,727,127,091,987,909,233,023,132,
921,696,942,363,305,983,256,197,272,707,211,064,479,082,319,580,250,594,169,
533,009,184,355,807,135,258,614,780,958,122,945,174,566,702,966,866,936,002,
734,803,163,197,012,232,969,989,641,699,144,532,429,979,836,753,629,489,906,
870,282,938,312,262,712,172,060,360,274,440,409,172,474,483,304,716,843,679,
001,114,360,618,734,859,434,519,455,437,550,706,831,661,009,775,028,463,150,
791,133,525,400,101,266,260,165,028,765,213,052,314,082,900,659,092,643,039,
894,931,971,071,584,854,423,456,136,979,929,549,474,307,746,998,746,916,347,
507,747,857,098,847,853,610,907,503,069,430,158,553,364,393,008,562,663,244,
374,554,046,109,930,241,520,535,027,062,722,207,181,355,929,932,454,817,658,
863,656,445,867,256,656,359,576,562,325,065,201,512,036,500,524,169,724,057,
334,655,109,463,602,916,085,579,908,436,084,220,642,812,463,281,819,360,023,
499,706,532,367,347,444,895,320,220,771,424,243,855,109,176,918,238,924,872,
204,443,242,266,837,147,223,407,527,920,762,029,229,065,968,025,815,057,988,
309,814,131,584,394,492,124,286,945,513,099,951,483,801,447,612,799,991,801,
745,315,343,135,266,754,971,018,718,699,997,151,448,703,120,572,338,793,029,
199,916,128,330,082,809,308,852,113,177,778,781,194,342,098,728,922,688,543,
266,785,984,659,058,028,168,071,357,542,789,108,785,645,232,075,489,121,272,
943,431,241,789,357,682,948,965,081,774,758,474,218,909,062,805,697,429,877,
587,476,428,113,042,484,027,444,158,378,185,709,933,680,183,156,085,706,796,
035,421,033,468,634,184,902,172,554,538,937,614,858,973,441,202,649,742,701,
019,405,077,568,817,788,537,843,575,075,154,741,379,341,890,501,715,479,472,
931,965,961,121,123,103,305,480,218,256,526,701,081,247,307,076,065,496,714,
068,878,379,594,978,096,939,831,334,336,410,698,428,430,783,530,444,950,198,
165,711,852,241,692,131,108,916,997,310,650,655,170,166,286,808,891,565,801,
673,431,998,877,316,510,222,430,047,487,793,611,193,371,881,931,705,875,029,
407,452,423,244,697,677,144,442,464,108,310,384,492,650,532,736,695,331,055,
023,862,635,435,804,089,344,929,496,188,349,866,413,898,401,273,241,735,960,
158,198,040,141,141,843,347,830,964,242,645,763,896,166,895,816,653,138,581,
918,664,296,516,478,387,450,158,736,567,219,889,111,297,916,672,751,613,841,
849,747,283,100,814,736,621,529,136,581,182,530,954,074,651,427,612,602,930,
411,979,800,545,183,254,040,565,980,979,845,327,836,572,935,371,047,632,209,
488,702,066,448,564,253,340,876,256,064,085,676,618,089,907,983,393,419,252,
682,110,096,181,198,408,539,274,334,122,001,518,400,003,856,807,444,833,996,
985,422,695,135,359,155,186,871,269,708,379,762,424,499,635,455,123,954,354,
582,946,771,322,468,401,570,217,325,486,125,800,476,585,161,712,606,682,950,
251,747,835,707,068,762,371,058,832,245,857,759,002,989,512,103,723,516,677,
219,548,763,116,765,628,361,555,265,422,811,961,870,493,189,839,089,829,413,
247,499,693,044,803,881,386,656,128,762,610,811,300,908,950,857,617,959,281,
256,599,175,859,572,066,242,184,101,084,697,246,654,917,103,782,046,744,036,
516,520,175,847,605,271,036,394,556,106,049,160,814,503,017,978,704,086,437,
514,772,313,019,902,378,114,845,428,468,786,702,762,372,521,963,707,589,002,
125,565,469,548,276,872,109,137,225,233,216,001,359,124,660,167,891,578,202,
634,496,156,484,216,266,102,135,844,107,631,389,450,877,996,753,122,461,004,
525,650,379,755,685,840,213,905,917,866,685,885,525,099,274,199,289,671,520,
133,124,771,786,092,554,071,747,375,471,548,768,531,534,087,779,347,766,072,
548,213,689,411,219,885,862,785,796,304,005,581,343,063,267,865,457,723,515,
394,421,808,929,589,680,745,793,292,647,995,112,402,721,434,134,527,778,143,
649,925,087,111,387,425,757,508,909,924,712,063,006,830,839,406,092,172,838,
814,057,058,963,142,518,269,483,181,711,278,439,886,742,873,831,804,716,577,
412,852,015,513,653,852,262,279,501,357,523,672,885,542,399,422,876,736,160,
727,854,112,166,043,253,992,989,263,526,122,749,091,374,053,857,417,738,161,
751,620,825,954,539,853,801,977,975,667,837,872,557,949,398,607,827,496,794,
025,057,067,898,873,570,500,898,831,022,085,440,560,076,406,428,511,703,572,
831,477,641,989,718,850,900,806,032,592,775,008,501,900,502,687,192,843,272,
094,961,203,240,094,962,834,417,041,555,714,818,157,370,583,013,483,755,667,
634,854,502,923,549,708,016,725,286,720,802,932,029,976,882,721,053,728,301,
457,101,941,144,896,864,531,812,057,527,434,489,360,509,843,159,021,747,182,
140,092,311,427,768,416,319,199,867,285,356,754,411,332,741,025,909,387,037,
635,073,349,693,313,439,865,272,404,644,165,375,659,968,172,287,937,039,165,
533,057,566,663,276,112,357,377,401,170,503,019,601,352,882,958,273,405,743,
712,182,661,355,082,592,598,360,037,634,543,180,100,942,921,414,487,428,738,
415,159,693,320,526,361,644,577,230,432,120,078,881,548,725,515,071,867,723,
138,229,629,140,431,468,628,776,667,623,676,759,131,842,372,671,112,990,383,
448,443,795,596,146,073,101,792,096,229,281,100,658,842,987,934,279,060,954,
857,633,566,912,502,544,284,485,986,367,379,721,192,157,183,859,486,139,181,
301,081,828,676,287,024,550,404,381,325,104,732,495,782,159,830,704,440,939,
194,232,380,711,123,794,670,464,871,437,952,310,149,043,662,012,523,004,927,
928,905,856,952,624,753,613,692,798,364,944,209,155,548,332,014,715,690,500,
909,703,275,104,141,069,645,604,870,164,065,169,635,873,251,260,267,073,270,
435,441,983,719,608,008,090,128,511,015,207,260,768,512,187,968,334,544,992,
217,375,806,063,637,585,041,940,631,863,695,259,779,623,794,280,775,291,319,
595,766,748,629,982,651,799,657,449,584,450,227,125,593,161,562,595,209,956,
272,478,706,401,274,839,705,559,976,400,122,012,019,011,902,461,673,730,410,
853,571,526,641,970,146,834,926,441,055,187,796,991,956,918,632,486,867,709,
631,439,235,683,679,107,183,585,282,182,666,951,026,927,371,800,449,978,111,
553,705,184,683,047,957,892,717,976,265,955,058,602,760,771,943,160,877,019,
221,584,730,280,582,149,888,855,666,088,241,170,592,623,857,609,786,390,226,
548,080,861,204,507,630,652,593,695,789,801,857,746,834,751,914,523,518,967,
962,909,126,300,837,523,165,916,215,467,631,860,167,388,902,720,861,972,676,
601,905,902,017,381,135,244,019,561,430,790,396,309,791,667,745,954,361,153,
929,166,019,810,190,056,769,173,784,216,776,715,312,835,955,837,720,992,376,
844,853,290,786,079,197,919,805,576,488,041,113,469,098,869,372,647,328,654,
739,072,323,753,323,697,933,804,213,283,285,376,755,116,661,537,211,674,021,
035,362,278,149,545,192,638,349,686,470,808,343,201,562,516,545,554,992,298,
492,895,967,826,261,320,901,175,197,889,937,960,833,442,396,549,011,031,145,
043,608,240,089,297,138,572,583,142,293,024,099,243,010,618,274,279,665,377,
176,803,676,715,166,593,107,265,874,561,334,469,238,423,496,357,591,844,893,
030,129,517,710,720,449,571,548,074,639,695,841,218,478,378,138,784,369,052,
315,560,748,024,876,023,059,271,898,150,488,728,725,879,521,084,546,699,734,
178,312,821,597,316,820,654,685,914,288,197,714,211,551,422,841,384,660,212,
164,201,964,126,528,806,192,049,751,211,386,821,470,150,499,123,174,510,712,
549,088,830,032,427,128,677,603,716,016,316,312,542,887,834,435,970,351,556,
887,886,596,105,339,070,632,560,495,359,159,172,501,432,510,466,436,606,240,
637,513,949,338,156,952,333,034,471,426,654,482,640,017,852,709,963,808,284,
397,319,898,056,026,145,530,062,556,733,344,407,344,626,823,914,233,937,112,
265,419,792,754,906,818,446,402,483,721,690,315,260,743,059,065,294,825,323,
635,131,797,785,786,982,493,261,246,241,328,526,167,071,215,363,117,663,817,
616,392,733,860,363,717,166,910,535,699,591,036,021,595,973,244,411,539,601,
397,795,677,827,102,619,482,390,767,423,659,837,794,784,809,832,767,852,821,
342,203,308,134,208,221,981,614,658,851,524,281,302,735,824,095,882,577,502,
107,580,415,523,737,326,098,255,273,472,925,542,672,729,955,096,997,588,236,
088,044,569,601,567,327,196,253,589,209,251,863,803,569,603,461,230,141,425,
899,682,743,650,772,477,396,289,453,461,213,893,013,194,594,111,265,837,867,
620,530,009,054,788,089,597,558,143,641,606,494,295,227,751,980,053,877,448,
097,869,807,048,416,403,491,416,778,722,834,138,815,851,256,679,133,427,573,
442,109,343,178,195,312,761,516,184,552,750,313,899,378,122,062,737,193,780,
851,952,159,569,667,447,951,551,399,034,422,387,459,902,759,222,399,791,522,
190,474,635,236,477,450,199,995,787,184,200,458,567,831,459,478,874,521,832,
516,048,650,366,293,124,918,325,508,597,065,574,217,379,809,964,189,992,623,
420,260,300,887,595,446,348,678,879,114,234,886,498,231,350,810,818,418,761,
550,811,213,709,039,073,915,878,271,727,878,185,907,174,131,181,172,176,759,
104,670,210,701,367,086,883,279,076,081,713,603,935,542,543,935,685,726,087,
186,575,281,393,514,843,259,346,650,193,666,885,508,663,139,099,251,102,302,
316,218,869,008,601,638,842,599,902,667,154,448,999,985,619,543,845,161,206,
745,295,625,751,592,694,454,354,965,617,219,186,796,851,931,834,177,213,116,
850,501,669,284,136,572,456,488,902,852,860,823,751,345,380,883,008,254,626,
204,560,561,315,612,704,844,307,586,474,720,352,233,430,540,401,657,232,961,
255,131,585,822,622,660,171,264,668,735,819,348,364,915,811,422,113,514,247,
998,251,231,966,530,645,352,589,124,379,770,093,901,646,048,269,292,361,185,
177,270,971,906,828,817,070,368,309,264,402,639,780,318,052,380,252,206,259,
377,989,900,592,670,936,749,268,404,629,295,424,213,132,349,914,626,438,980,
948,995,393,004,024,320,408,335,427,297,015,870,906,186,490,293,243,182,130,
401,506,788,374,486,352,289,887,622,774,606,158,048,384,951,010,951,031,078,
704,754,309,559,534,202,353,097,105,812,777,894,708,466,421,531,225,509,759,
388,672,681,997,630,816,931,339,077,566,197,287,384,093,097,820,652,287,343,
123,735,224,817,079,253,909,438,233,279,444,696,454,622,143,683,489,084,490,
066,155,133,202,256,965,334,437,513,883,166,483,760,032,924,740,913,187,416,
281,517,747,919,848,991,782,626,740,131,911,392,186,744,208,563,828,266,953,
674,401,527,537,532,176,165,346,081,416,909,534,656,376,546,012,705,435,195,
191,402,962,444,756,450,641,302,511,105,469,972,491,662,077,775,614,940,720,
078,886,570,150,863,127,294,137,425,451,531,422,138,281,203,672,650,580,568,
522,763,532,741,610,686,908,084,526,754,140,820,428,865,703,375,101,458,048,
675,222,696,633,481,973,472,197,867,003,681,772,648,739,526,873,544,958,879,
930,769,616,735,954,715,634,391,453,868,816,408,667,403,716,212,390,265,332,
179,428,283,503,241,673,122,951,134,018,969,187,630,213,239,770,330,625,338,
148,728,176,091,864,245,407,553,456,609,886,235,077,289,753,927,981,052,233,
996,887,986,495,891,387,707,677,260,589,616,297,918,670,494,023,187,152,676,
173,623,181,356,929,480,703,949,623,875,783,470,795,062,416,259,853,731,006,
238,547,966,045,215,467,008,099,919,196,761,718,329,880,126,868,591,054,672,
642,180,311,155,823,751,587,342,069,969,391,917,418,277,220,927,709,454,834,
804,572,358,916,563,105,535,707,436,100,437,929,203,115,916,298,628,678,175,
677,528,061,742,071,971,728,472,479,685,233,379,416,497,142,300,594,681,298,
467,009,072,959,756,065,651,715,762,415,517,587,923,735,000,877,609,368,240,
112,784,128,381,673,076,439,928,182,183,705,064,395,316,990,637,785,361,130,
034,796,240,386,392,800,838,499,423,199,963,501,443,175,397,807,441,185,983,
910,364,526,389,472,572,211,854,137,787,404,415,645,239,119,054,437,118,563,
618,918,589,400,663,210,767,512,819,242,289,236,502,119,050,443,885,635,260,
308,865,238,633,224,228,567,089,015,970,636,415,750,586,884,787,086,808,001,
808,533,494,852,605,176,552,955,865,815,547,000,796,248,235,645,258,227,896,
754,175,902,000,556,193,134,645,453,716,098,042,295,635,000,449,034,706,084,
557,093,121,881,253,441,408,724,216,251,233,387,243,233,525,277,334,280,624,
820,151,255,520,075,933,681,472,295,718,480,562,505,343,824,981,617,614,987,
315,860,864,110,589,285,964,154,979,110,241,349,898,169,325,120,778,788,682,
496,981,222,652,357,253,851,668,740,250,343,633,429,004,492,197,077,557,501,
003,073,934,267,006,963,338,743,197,726,421,157,658,428,784,140,983,807,259,
637,571,075,165,506,324,819,290,461,275,805,254,294,311,600,310,300,897,810,
507,129,283,704,479,928,928,292,253,725,658,664,564,042,660,206,151,773,214,
645,645,380,053,691,456,733,220,814,306,397,629,662,246,270,881,407,053,600,
317,479,167,137,497,878,158,654,773,545,098,970,485,931,080,161,403,159,665,
846,898,177,367,877,331,381,172,475,724,815,793,265,722,270,297,196,153,028,
009,719,743,205,289,881,079,919,794,610,358,106,016,851,084,833,738,578,670,
969,813,325,350,262,134,981,176,705,601,006,310,234,529,102,175,242,194,822,
603,062,581,713,941,383,653,244,284,844,101,566,633,659,482,948,167,776,654,
747,482,269,367,660,456,562,995,391,258,530,397,637,760,852,406,398,120,705,
202,515,466,953,696,418,318,072,714,369,250,957,744,547,857,756,186,856,197,
023,682,189,541,068,309,660,851,849,249,918,833,642,238,850,866,519,366,284,
747,968,702,058,112,568,550,766,755,839,399,214,974,029,296,867,872,226,795,
179,317,843,903,732,464,330,062,748,199,643,453,435,059,683,305,099,424,993,
161,903,806,226,417,476,665,523,033,920,600,728,445,499,013,415,463,239,936,
091,906,023,132,043,504,453,240,743,164,423,745,765,425,823,451,919,018,881,
409,403,928,497,544,186,110,619,541,350,178,753,207,692,730,719,103,033,247,
609,924,009,787,699,357,771,738,831,166,223,219,403,389,169,410,766,657,784,
435,428,059,540,997,463,594,832,887,877,201,312,221,729,487,838,379,461,876,
811,458,076,728,965,239,275,152,474,749,331,112,148,316,679,073,904,604,784,
882,834,052,332,587,944,645,449,121,649,986,229,796,766,506,745,698,954,344,
551,389,304,503,331,927,223,327,390,454,333,844,449,813,918,427,562,010,351,
144,662,697,974,159,404,183,925,779,278,889,553,126,674,742,548,320,774,873,
318,813,257,421,990,176,385,861,400,492,185,895,632,334,578,456,518,673,858,
298,791,430,143,493,524,479,771,632,667,056,147,048,626,532,379,195,217,844,
321,895,333,202,346,380,447,216,020,311,253,002,901,416,300,004,447,268,066,
879,118,644,222,407,178,335,544,676,830,136,017,104,154,738,697,829,387,427,
076,425,171,123,357,254,441,266,935,315,628,802,653,357,840,340,404,951,193,
248,830,931,220,271,339,052,209,936,111,569,133,429,054,073,965,219,958,174,
200,369,078,809,607,056,221,839,817,678,616,970,046,848,265,186,459,131,336,
906,828,661,583,875,625,471,961,826,422,890,179,868,286,809,160,690,066,882,
491,878,885,820,400,934,297,166,685,054,477,407,421,377,063,524,045,310,807,
551,620,339,664,248,083,078,892,782,371,405,603,366,727,073,375,302,090,041,
235,755,952,054,061,009,268,157,550,086,697,402,476,995,911,676,803,837,783,
699,268,879,020,481,036,233,309,265,540,938,600,533,877,658,090,435,606,382,
122,636,398,207,298,256,672,241,495,341,710,428,571,986,109,073,595,866,421,
070,507,792,120,746,808,564,966,294,122,746,724,394,939,362,704,720,214,588,
584,218,862,856,249,510,672,646,070,691,308,889,611,983,319,205,910,977,471,
972,762,560,163,295,515,059,374,378,665,993,302,779,075,392,634,149,699,939,
224,501,609,108,757,754,789,928,329,591,019,481,007,009,207,616,443,127,955,
378,424,677,002,280,942,306,118,884,417,865,249,805,540,153,809,210,568,889,
376,596,870,323,695,994,409,084,169,059,470,718,558,962,039,139,058,329,775,
211,219,170,831,513,482,333,283,058,568,511,329,280,892,945,053,979,516,976,
613,333,558,607,406,336,219,361,745,924,440,703,702,482,054,409,489,443,481,
763,763,066,013,274,729,335,046,233,225,448,942,078,679,314,272,313,127,015,
839,403,228,573,792,565,731,865,006,503,691,641,052,434,819,260,156,256,524,
397,042,000,777,675,667,334,923,276,976,735,352,879,215,330,436,198,777,220,
391,109,303,109,873,472,184,120,383,048,323,076,770,455,692,104,470,008,460,
207,277,661,333,201,130,806,360,720,422,345,989,244,940,249,742,017,822,254,
462,560,440,118,776,620,514,660,064,823,075,149,482,776,821,100,796,510,517,
403,638,099,711,216,185,176,999,994,792,047,603,727,126,493,239,899,519,519,
849,236,555,689,381,328,066,210,331,560,090,000,950,682,346,648,758,724,828,
797,490,442,206,753,898,542,602,019,570,774,327,345,776,813,076,643,859,612,
705,827,701,594,518,958,794,723,492,751,824,352,474,614,911,205,639,866,350,
782,820,676,198,470,555,594,521,297,395,741,995,017,685,387,562,055,202,720,
048,683,559,890,557,380,049,740,829,199,373,951,092,774,049,141,460,924,572,
606,505,278,663,241,302,191,321,221,569,273,432,051,446,456,096,232,278,897,
039,169,771,782,940,288,130,133,294,900,431,316,499,576,003,200,437,539,604,
402,086,988,757,106,065,589,358,158,535,578,028,002,938,220,899,730,892,746,
278,534,984,338,540,389,179,761,541,719,592,835,322,108,302,835,368,605,248,
941,238,779,746,882,898,797,513,332,934,008,309,268,205,025,285,128,208,126,
625,794,600,416,387,222,339,441,199,376,680,241,099,174,353,635,839,105,320,
620,357,672,748,737,187,594,163,032,413,814,411,474,909,065,436,519,401,639,
158,504,334,038,554,036,762,468,527,455,750,305,429,561,280,043,525,478,245,
848,717,171,703,447,917,109,954,259,325,658,462,459,033,380,135,399,304,351,
820,188,259,022,806,405,265,556,999,149,728,700,736,395,900,444,589,433,065,
855,691,694,183,611,247,628,116,121,251,590,414,222,580,434,412,713,450,952,
031,854,325,018,264,954,395,470,854,590,501,366,451,801,737,769,464,635,105,
804,675,059,048,952,635,086,903,113,937,917,356,927,002,901,698,188,457,163,
119,459,205,208,613,068,607,039,381,580,576,815,949,221,666,047,072,358,043,
175,120,835,427,090,571,336,511,514,694,362,066,688,101,092,403,922,192,457,
713,615,290,917,644,152,992,711,862,613,229,147,379,482,190,573,582,211,769,
978,125,871,158,552,844,667,901,083,294,422,872,619,202,044,499,213,823,541,
850,668,416,317,623,663,446,479,054,764,130,523,225,343,170,355,184,125,611,
589,180,922,628,347,485,570,989,497,396,892,634,357,071,477,597,108,491,348,
307,344,480,742,881,049,801,638,432,033,169,696,930,296,087,736,365,954,693,
303,055,948,688,428,555,875,053,279,445,785,703,463,376,505,952,507,929,035,
579,183,484,869,098,344,844,845,829,892,894,023,343,455,173,291,187,428,417,
845,225,584,402,626,569,353,066,744,927,794,032,113,158,497,817,892,953,125,
398,803,167,578,803,581,351,953,140,449,699,872,139,393,774,432,917,408,589,
653,755,469,161,968,447,864,991,031,689,273,184,565,983,206,154,502,686,847,
633,503,842,382,683,086,234,889,989,590,574,584,726,324,052,939,516,294,912,
103,721,788,571,149,080,829,758,004,487,255,335,371,268,961,943,206,711,630,
053,586,578,956,585,443,026,858,601,565,910,449,647,714,595,484,811,533,754,
546,690,540,758,547,644,061,558,528,642,299,855,742,882,313,510,442,591,639,
990,214,352,145,410,418,394,796,781,050,110,279,660,863,911,382,779,495,948,
612,401,956,676,249,500,917,013,202,665,100,972,646,026,089,677,729,621,490,
141,070,708,713,648,338,265,919,450,555,638,732,470,606,063,944,214,381,687,
103,958,460,394,157,218,022,527,331,732,791,903,893,192,284,243,367,552,222,
559,022,926,251,886,221,204,536,683,785,373,567,773,817,799,575,431,622,679,
160,946,861,409,031,987,717,374,323,655,225,804,493,400,882,919,176,392,649,
898,998,906,586,490,808,254,274,845,900,143,476,529,508,689,970,092,999,271,
505,310,316,070,791,663,900,319,048,244,270,146,449,814,601,297,141,337,244,
546,463,756,207,353,509,575,537,880,629,020,987,243,544,217,996,957,563,532,
914,910,557,698,966,548,477,866,119,232,888,002,035,083,082,524,369,727,703,
867,805,623,417,751,602,088,948,369,799,471,604,017,517,385,957,793,370,569,
233,722,813,839,614,317,701,603,008,313,938,690,278,467,779,017,424,316,443,
132,995,488,097,788,373,994,568,577,909,841,722,160,204,789,928,015,331,928,
771,935,692,688,883,283,009,121,502,371,893,143,986,781,708,125,322,157,924,
045,720,669,383,899,470,806,526,623,939,963,131,500,439,389,336,242,224,563,
669,492,012,084,424,517,691,509,682,302,168,581,289,217,146,028,849,992,488,
155,800,850,178,202,948,268,004,582,289,814,494,146,198,703,073,964,845,314,
726,466,662,060,341,119,320,978,375,191,038,331,628,686,981,163,283,617,551,
352,964,936,467,744,260,685,795,842,053,581,916,349,206,867,961,174,634,283,
261,939,258,581,538,534,745,518,968,240,804,709,294,901,524,223,692,865,913,
236,070,493,331,119,921,528,548,518,524,323,469,616,451,301,055,327,241,318,
986,311,497,922,586,622,600,330,324,157,419,050,303,313,471,565,207,472,417,
926,213,949,718,886,861,095,447,561,167,395,584,936,538,190,319,276,816,636,
766,208,106,640,488,098,096,133,025,120,567,513,633,497,365,139,521,408,129,
200,588,606,379,909,488,926,635,799,890,198,468,856,286,713,178,872,927,378,
276,892,264,422,678,599,151,685,564,304,251,837,058,713,575,348,174,556,524,
183,282,074,293,160,300,879,708,561,018,715,089,890,508,344,720,591,085,275,
350,920,261,517,071,444,706,208,302,178,876,114,916,633,312,131,418,656,965,
743,915,120,626,415,483,333,764,468,225,022,489,601,446,149,132,062,215,202,
073,870,790,713,344,725,590,492,745,272,704,686,184,336,601,839,423,480,854,
587,829,986,044,529,438,365,663,227,342,974,491,369,124,756,255,872,930,921,
887,309,225,536,002,047,425,340,393,429,566,322,682,659,809,852,808,046,972,
234,386,488,987,468,613,033,259,489,559,974,200,356,451,001,660,112,295,738,
235,656,199,445,252,792,402,298,739,289,768,032,940,817,910,723,136,731,302,
023,654,678,620,176,247,718,672,680,176,720,238,556,474,678,472,579,167,991,
818,476,663,876,672,052,483,068,007,538,196,767,361,120,493,123,315,918,528,
919,393,566,266,098,121,981,824,435,963,890,438,390,830,294,962,795,741,078,
045,431,029,085,840,161,364,994,193,424,655,027,544,568,077,753,643,728,374,
471,003,731,479,428,376,064,514,168,887,938,407,065,741,827,771,761,002,446,
070,853,303,912,462,154,726,350,933,424,357,367,473,802,154,048,440,577,199,
257,797,721,801,970,631,737,274,612,432,161,902,195,990,635,805,800,011,408,
445,460,450,498,087,007,772,713,592,794,915,717,763,933,237,737,787,622,934,
837,236,765,825,603,495,671,594,404,588,150,422,762,457,819,475,022,787,448,
732,823,378,971,339,512,494,135,093,106,134,808,741,820,437,437,054,699,983,
717,881,961,940,963,950,209,627,329,964,910,703,365,401,673,593,350,492,563,
615,831,209,370,184,880,397,780,276,872,957,106,937,787,996,596,035,805,711,
474,226,250,685,926,939,665,082,101,432,345,886,529,587,280,316,511,389,089,
524,281,367,920,445,546,028,925,711,396,242,370,072,673,247,332,004,108,572,
745,324,345,727,975,336,559,885,306,954,234,418,168,995,016,739,537,949,973,
553,395,414,985,054,808,794,874,375,799,251,588,676,949,064,887,222,685,235,
740,885,728,307,268,314,327,659,611,919,923,846,892,977,850,579,307,426,934,
131,650,643,305,196,471,120,805,074,612,578,465,071,906,273,407,638,906,982,
492,813,911,695,808,914,594,664,081,961,942,005,399,253,740,797,795,640,460,
572,515,020,534,100,241,657,342,534,704,371,811,830,142,117,074,367,029,451,
603,811,029,956,413,784,338,720,830,402,876,082,067,295,089,062,453,936,585,
333,543,994,455,450,621,897,591,769,043,721,898,928,206,991,617,783,180,213,
473,805,071,334,250,814,330,168,773,604,052,302,541,420,717,858,202,720,047,
907,389,952,417,724,710,309,410,780,396,525,276,267,435,667,385,369,360,590,
519,618,657,746,730,694,203,857,260,673,751,467,416,511,773,505,307,388,058,
444,330,967,367,782,560,271,063,526,213,982,748,994,312,712,103,706,267,673,
567,370,363,183,289,903,332,608,520,961,978,134,460,941,695,112,810,760,980,
230,664,322,085,212,240,518,990,458,785,997,642,107,097,250,572,721,837,696,
735,739,724,927,891,073,711,340,896,560,618,230,704,147,958,160,105,957,937,
693,306,611,904,782,877,972,952,346,339,733,503,757,051,986,192,445,864,523,
210,638,032,933,966,328,126,836,662,524,479,868,891,191,932,759,944,155,518,
786,730,595,394,441,655,838,663,387,310,743,767,179,435,651,232,766,767,098,
170,484,496,004,920,109,902,575,245,117,493,185,534,384,676,504,999,819,796,
642,678,396,024,026,806,307,186,750,839,813,539,440,853,337,456,386,330,194,
083,823,961,473,174,537,124,046,670,904,894,852,919,179,382,576,757,254,743,
297,784,378,089,135,033,871,898,043,784,531,135,646,081,523,390,532,135,100,
766,219,531,726,365,912,091,181,972,803,101,573,119,611,137,137,248,823,003,
348,337,996,798,738,086,217,494,198,528,205,788,571,542,164,237,213,383,051,
312,851,322,141,025,634,984,678,495,226,851,848,654,494,589,942,821,913,267,
212,043,072,441,468,011,998,643,352,278,929,270,780,586,102,164,264,567,677,
473,101,397,115,953,095,745,832,290,241,886,005,435,147,750,398,709,202,906,
290,917,962,279,818,421,299,457,368,022,723,613,905,102,976,251,693,392,399,
702,450,034,077,780,321,857,998,686,410,959,322,634,582,005,227,431,688,519,
478,760,545,430,301,654,162,606,664,351,982,454,370,285,717,828,557,567,277,
719,329,689,062,667,969,721,640,663,536,392,706,895,593,801,796,968,064,514,
375,951,310,990,540,232,567,853,291,231,078,727,779,949,588,879,797,484,961,
866,676,999,985,704,710,233,673,709,951,948,823,097,912,319,933,786,043,774,
728,643,420,081,065,241,487,611,099,519,937,884,681,571,974,555,388,920,856,
791,118,711,378,598,378,179,883,222,958,738,449,654,682,993,172,939,961,720,
362,665,091,880,795,080,749,124,537,097,839,640,541,420,055,073,428,387,390,
730,950,287,054,742,362,330,460,073,106,547,076,891,284,842,029,875,450,631,
845,274,413,221,798,528,189,414,252,951,524,688,203,549,095,370,818,016,938,
711,308,347,221,036,400,768,847,208,373,254,783,002,126,403,604,141,237,191,
211,395,705,217,853,130,331,769,628,126,334,457,684,737,240,762,047,489,199,
724,067,030,808,713,296,615,505,322,117,964,266,409,482,090,217,075,138,489,
074,357,822,047,991,229,522,983,904,887,179,375,256,858,353,813,444,584,905,
248,584,000,702,265,971,085,186,547,737,761,603,996,454,812,591,086,592,411,
954,205,306,685,863,856,094,627,168,292,464,499,618,513,746,834,699,610,525,
641,574,692,062,737,283,160,470,552,314,210,720,611,433,989,206,029,457,231,
062,253,605,072,394,159,022,064,233,161,309,720,391,944,356,151,736,217,116,
324,317,963,558,711,069,208,532,318,377,614,198,459,676,367,866,882,265,248,
140,384,982,138,033,544,784,948,637,571,761,711,057,010,960,457,463,043,849,
478,221,174,251,451,211,904,955,580,609,202,051,933,628,610,204,964,608,358,
380,192,877,946,755,600,271,217,309,165,071,632,915,331,432,115,621,891,013,
460,220,600,043,178,759,846,308,259,486,967,589,485,951,776,186,731,166,796,
054,460,628,131,117,356,613,712,797,485,841,049,804,109,520,485,538,338,902,
768,530,826,539,701,143,718,520,542,331,777,865,817,831,221,329,776,400,722,
000,158,008,541,427,489,764,492,804,971,461,557,865,373,606,724,132,034,201,
549,884,998,065,397,064,601,036,145,433,501,326,887,793,974,571,262,156,676,
040,870,380,787,913,648,924,465,413,209,168,350,792,566,104,403,503,126,190,
447,536,098,451,530,525,842,808,002,527,429,972,623,344,353,491,788,811,075,
339,380,697,921,357,825,847,492,759,849,058,284,602,138,963,355,693,074,409,
094,169,085,221,485,904,932,582,527,105,215,099,963,658,888,258,859,778,719,
051,729,984,771,143,719,155,008,687,778,367,755,498,794,596,528,676,332,122,
895,228,120,764,308,245,363,553,211,272,564,569,120,345,814,670,881,181,132,
511,398,649,160,942,241,647,809,620,193,787,058,318,787,975,939,542,848,440,
553,631,793,561,263,433,109,821,497,091,971,041,282,625,120,038,023,916,194,
120,955,004,418,922,719,602,722,449,076,320,900,580,887,739,913,441,488,186,
924,443,744,140,731,256,619,261,797,152,437,741,278,377,401,658,140,499,736,
821,796,649,599,671,364,382,385,401,612,136,432,040,452,004,596,637,168,174,
233,031,078,832,437,691,728,775,800,232,556,037,225,036,874,339,553,834,644,
309,778,575,473,389,614,475,631,296,381,543,685,680,651,134,715,728,101,106,
606,422,340,924,835,208,692,254,611,715,756,942,522,244,131,418,791,203,507,
423,891,202,654,672,754,740,377,488,133,378,287,427,995,879,120,158,443,544,
027,946,969,800,730,087,168,159,641,745,062,248,431,756,212,712,407,773,071,
684,038,114,678,328,963,215,448,897,877,572,566,964,726,109,983,969,357,399,
908,210,585,609,114,320,823,383,485,386,104,424,341,079,893,967,149,305,330,
286,877,185,361,766,020,454,789,389,372,992,226,182,011,933,251,408,010,367,
754,823,968,035,323,670,734,958,891,022,961,333,778,768,315,905,502,289,462,
507,673,018,626,239,416,504,568,479,297,817,917,271,438,133,377,718,825,143,
404,637,160,447,727,112,299,641,814,190,052,140,775,248,874,153,308,460,456,
130,320,583,261,815,761,073,821,346,200,581,907,889,258,980,066,746,438,285,
134,906,292,955,421,198,794,050,444,908,416,892,390,131,276,660,006,585,071,
732,088,615,008,020,414,917,418,186,273,832,064,517,900,821,524,719,261,140,
908,283,460,282,504,663,113,952,987,124,764,495,977,683,824,071,146,680,666,
876,964,021,075,952,655,605,154,267,295,299,858,656,988,637,547,345,782,348,
848,377,797,222,767,211,447,577,222,515,856,822,560,140,788,367,634,433,162,
581,745,033,991,878,669,689,096,174,697,665,544,582,296,489,401,255,033,555,
630,351,231,253,228,631,125,524,978,185,923,362,126,196,109,230,268,683,564,
777,335,521,162,367,758,008,375,893,897,439,697,083,169,882,834,062,298,876,
312,213,692,767,758,541,493,901,690,297,086,589,534,899,398,715,791,538,846,
979,683,466,417,534,105,642,527,883,284,794,333,696,529,973,802,596,751,600,
716,653,785,232,516,631,196,044,848,509,610,188,227,386,241,028,866,005,601,
791,985,545,652,720,522,326,818,229,729,369,845,480,809,917,961,613,475,122,
213,421,002,034,978,105,163,333,307,340,522,964,729,777,627,046,536,637,788,
585,786,775,951,935,103,113,826,224,880,664,504,712,298,205,855,454,408,724,
386,685,196,223,535,111,798,875,375,279,282,157,613,354,823,255,654,908,046,
335,660,538,940,764,547,218,088,269,339,028,453,676,570,455,097,267,186,909,
660,765,151,785,030,851,006,249,711,661,154,997,108,556,495,917,445,777,626,
697,964,337,859,105,635,551,208,490,506,469,449,643,192,668,620,803,886,196,
284,225,941,446,117,067,242,717,719,041,986,492,913,468,369,390,140,828,448,
684,437,774,157,647,031,407,168,251,204,885,874,279,575,463,958,314,328,755,
064,785,875,133,739,637,047,204,459,655,781,864,853,214,551,503,310,543,301,
971,317,029,859,178,756,542,087,056,061,331,138,615,708,586,948,539,840,188,
015,979,485,017,941,093,879,450,068,148,606,331,507,312,504,577,735,499,126,
977,099,353,374,687,708,984,964,496,599,140,583,366,407,037,405,136,017,735,
379,116,565,089,335,311,142,398,681,444,612,378,778,240,358,871,371,767,348,
423,877,632,403,505,248,996,504,031,898,452,498,024,660,261,819,944,555,954,
784,362,153,251,523,352,763,839,666,006,003,555,552,357,779,174,464,118,808,
152,273,285,022,787,832,853,467,998,990,291,027,352,659,580,211,626,405,408,
233,751,090,360,608,567,435,710,462,426,691,826,127,510,096,651,700,074,739,
802,426,746,257,286,479,874,378,484,993,242,891,693,455,339,052,249,956,971,
397,011,119,429,102,166,559,660,762,186,915,672,049,158,030,711,288,788,373,
247,672,482,886,772,036,096,334,794,602,702,192,920,098,750,098,721,084,471,
189,026,718,417,183,878,091,178,474,553,884,182,258,083,300,199,711,046,113,
176,721,882,696,066,768,980,200,076,272,483,292,401,813,299,538,206,347,999,
688,167,218,561,010,938,027,845,731,184,586,174,936,961,978,854,090,585,815,
054,761,614,314,571,959,002,645,400,099,758,287,874,408,108,711,148,640,941,
697,844,324,560,885,649,696,307,559,596,878,230,676,793,361,369,940,226,487,
029,095,585,050,249,297,816,183,540,540,640,585,329,440,257,835,776,854,299,
423,088,109,043,721,183,575,229,104,284,117,770,243,168,582,661,272,041,816,
598,510,811,547,425,085,730,711,050,607,407,203,270,513,571,587,439,345,354,
811,801,640,109,117,343,589,028,291,264,869,479,666,825,261,309,963,069,360,
383,399,854,039,984,250,214,158,252,136,244,837,175,196,096,568,325,222,130,
660,977,141,680,118,157,945,316,248,352,684,561,366,625,235,001,645,876,293,
757,755,034,534,563,500,637,734,790,693,101,900,267,348,188,713,894,822,537,
147,631,921,702,730,731,499,242,947,309,634,072,240,939,367,215,182,052,629,
984,108,545,835,896,118,523,812,347,150,752,658,728,379,954,978,223,393,605,
753,216,947,966,621,865,993,325,911,627,638,018,602,113,067,561,197,020,884,
232,336,956,362,017,512,304,966,207,698,756,943,045,784,699,267,835,786,227,
320,665,002,492,901,489,581,469,771,326,177,949,524,316,884,786,035,630,411,
926,333,607,304,523,542,397,839,770,245,961,869,545,732,305,378,182,666,838,
828,200,762,856,575,825,491,430,316,374,896,041,693,390,376,646,571,502,366,
525,240,721,738,610,199,787,809,153,650,160,850,879,199,725,503,877,403,675,
330,054,832,793,669,130,618,117,655,398,899,099,212,653,593,811,608,236,774,
553,153,204,893,578,999,527,465,991,932,284,873,589,556,438,804,583,472,008,
644,297,026,148,935,285,442,649,851,432,738,205,490,320,274,504,745,474,817,
323,132,416,739,887,056,530,808,591,580,132,410,416,616,931,993,691,709,987,
067,825,530,451,094,883,334,748,519,778,669,708,911,102,795,124,605,078,337,
573,226,351,896,768,280,686,911,811,465,630,013,745,017,978,639,091,425,107,
437,151,798,772,178,333,343,577,779,129,389,517,677,130,940,600,879,111,118,
505,736,227,263,897,248,058,268,858,617,340,433,248,486,591,982,788,933,842,
943,244,580,759,614,307,304,254,075,734,484,071,401,557,386,268,046,551,255,
833,758,702,168,191,015,164,021,380,977,578,951,391,673,067,437,449,670,924,
189,246,442,060,418,200,593,487,314,102,781,460,960,257,114,465,553,291,589,
122,056,006,093,387,285,925,943,679,491,076,622,463,755,097,621,717,190,029,
572,897,842,539,610,314,459,085,562,177,858,482,883,035,527,352,953,629,186,
816,857,257,696,798,307,584,045,559,750,200,436,590,496,265,652,479,951,437,
138,886,635,754,971,435,842,774,735,011,435,803,204,266,583,389,780,119,431,
543,927,541,177,512,391,727,301,915,100,699,009,920,202,797,790,190,669,999,
076,395,357,521,754,959,523,677,217,662,590,566,783,645,906,002,143,603,202,
001,875,238,716,424,716,790,725,376,808,108,992,406,169,979,017,835,143,738,
436,048,062,105,111,186,296,781,797,321,538,204,567,466,218,131,664,297,298,
525,491,313,007,194,386,315,524,134,028,273,155,220,005,999,297,455,322,404,
469,223,425,542,302,876,848,764,038,028,179,735,885,225,494,078,230,890,301,
709,785,346,066,240,024,695,302,893,893,939,818,231,440,959,524,447,245,682,
352,932,057,890,738,891,483,251,855,019,350,173,648,038,339,227,680,470,727,
330,688,494,439,189,694,250,543,760,778,532,546,918,248,545,899,212,671,089,
793,277,689,637,412,972,981,699,300,397,357,763,761,317,043,643,030,908,469,
141,274,221,101,116,733,283,841,123,096,431,482,612,723,794,882,925,549,347,
198,513,751,922,250,317,107,552,717,644,757,892,618,647,441,491,179,342,077,
199,411,985,277,619,905,615,943,611,321,209,113,711,590,311,110,636,021,520,
344,889,784,823,648,966,979,831,954,039,596,216,290,435,631,558,167,877,500,
213,573,359,319,479,569,085,040,005,357,359,536,214,492,609,338,279,935,030,
049,181,681,437,619,288,135,719,715,228,991,510,142,788,404,651,025,001,363,
652,148,648,087,229,923,542,473,175,035,629,403,997,640,366,109,250,689,328,
623,287,958,769,057,263,013,412,459,640,093,154,873,182,105,085,879,428,116,
561,968,325,362,035,887,325,187,818,179,426,908,651,770,317,399,743,415,250,
197,201,980,105,599,102,277,580,897,376,987,685,146,567,141,596,504,968,523,
327,274,287,090,944,210,080,470,127,063,491,304,088,474,840,445,588,934,343,
678,391,504,931,349,418,431,431,723,710,153,357,578,572,752,698,500,961,546,
060,011,622,715,372,560,022,717,229,034,184,433,878,247,488,243,635,020,454,
151,686,883,058,842,582,510,636,471,320,816,649,405,510,444,723,567,149,305,
255,817,164,193,870,056,078,902,499,203,078,808,890,013,511,197,546,225,776,
043,676,326,329,763,421,337,777,426,280,721,680,851,357,058,706,783,218,388,
749,680,773,629,920,386,735,592,084,411,885,954,950,482,195,583,102,757,772,
135,884,337,389,084,438,844,589,416,097,805,858,713,327,531,271,384,695,682,
928,987,672,775,599,629,746,422,322,648,642,389,905,675,449,771,289,284,413,
596,213,423,747,513,299,942,542,863,056,877,967,526,863,381,690,363,191,442,
261,653,469,453,630,070,803,349,184,887,147,283,526,242,947,714,897,796,795,
121,956,590,257,177,245,872,264,510,757,025,676,116,399,878,070,242,324,517,
435,019,622,646,139,820,849,013,427,415,735,832,237,360,796,064,434,815,867,
445,577,174,591,658,990,089,938,432,427,202,102,540,882,850,292,278,751,660,
141,404,608,865,872,381,640,579,936,335,824,610,462,972,706,724,479,124,091,
798,540,870,463,787,102,193,727,358,754,297,472,739,794,504,404,475,058,133,
978,691,216,794,814,923,863,361,888,665,950,714,681,316,259,777,285,566,129,
924,071,350,858,510,174,483,927,102,977,356,252,416,358,586,305,842,749,390,
075,385,384,267,889,346,872,067,883,726,094,801,953,677,349,465,628,284,942,
855,644,597,555,565,091,178,887,730,424,464,268,729,069,130,147,221,528,934,
845,147,043,866,668,836,472,855,828,817,069,997,405,163,054,756,398,969,091,
974,850,023,113,078,142,113,856,298,876,134,489,622,063,390,431,567,107,032,
928,455,921,363,657,155,154,781,908,932,808,222,415,221,630,915,500,283,938,
828,607,801,510,049,067,173,616,711,827,101,965,916,499,196,064,674,798,946,
326,184,335,533,538,261,459,267,073,565,503,115,511,759,731,867,540,103,890,
416,351,069,787,285,238,035,858,523,265,430,457,308,693,921,198,750,197,025,
754,743,184,204,493,690,624,976,760,571,914,694,852,891,199,775,724,365,006,
011,874,236,286,884,453,288,591,029,273,488,854,080,834,606,053,347,807,130,
249,010,927,647,110,133,084,421,301,540,013,583,234,653,272,162,163,843,738,
307,792,417,237,977,651,900,805,810,556,287,796,461,686,132,108,664,439,361,
073,941,973,669,011,810,435,709,912,291,441,552,577,569,751,423,515,730,361,
701,798,040,066,821,372,270,937,836,383,388,185,271,217,332,164,040,241,673,
972,987,471,022,284,028,769,326,234,839,732,515,583,037,934,716,654,852,414,
243,165,852,741,537,245,362,024,973,676,666,123,700,388,306,174,628,494,047,
305,856,958,510,042,158,751,223,827,723,874,333,350,149,076,210,845,610,780,
228,489,103,991,080,598,717,051,754,006,453,115,970,860,275,067,724,863,906,
631,870,713,501,172,938,483,498,777,978,676,659,039,269,213,235,133,439,588,
084,007,935,050,143,852,729,598,401,125,905,995,662,399,632,931,100,455,697,
159,202,779,242,884,056,996,552,597,644,663,302,184,880,948,021,490,896,475,
854,100,814,751,277,511,169,772,683,436,681,056,368,998,265,088,762,149,017,
750,334,703,489,106,869,814,235,820,704,627,185,587,021,234,685,708,952,456,
495,854,836,084,224,374,780,211,505,259,454,773,658,679,096,892,581,320,493,
814,754,260,989,958,095,062,966,578,326,748,200,145,385,316,511,486,564,062,
522,160,848,984,571,533,462,539,637,954,812,171,560,112,511,101,056,214,580,
907,283,083,343,718,445,056,692,872,473,305,496,347,697,699,379,398,100,468,
953,241,120,205,760,488,242,760,396,042,977,499,530,924,453,542,184,463,550,
829,038,527,557,967,126,055,690,464,568,163,402,754,482,063,562,779,299,163,
297,400,652,164,270,865,863,262,381,249,118,888,900,207,369,833,890,589,365,
075,652,882,270,255,547,670,748,434,326,401,814,903,099,387,961,223,828,251,
115,261,630,058,981,610,249,110,528,555,320,149,193,708,619,456,175,482,891,
740,337,794,594,598,456,975,538,180,806,217,050,334,077,905,483,945,714,877,
480,915,100,385,236,856,530,651,605,831,361,402,540,824,303,479,774,472,408,
235,074,363,781,826,835,377,638,141,422,717,794,096,343,111,056,470,060,097,
895,673,032,974,538,762,053,806,516,672,873,508,157,360,449,740,625,204,963,
156,930,847,006,377,500,581,318,997,765,057,117,528,483,219,505,470,101,034,
510,128,106,529,328,116,323,129,330,613,098,942,818,435,102,178,262,956,530,
132,245,180,695,706,867,804,150,069,773,178,471,350,195,520,155,635,669,934,
670,861,491,033,773,851,625,747,811,737,831,179,934,129,837,398,383,760,602,
922,904,006,836,574,363,319,923,352,221,654,406,806,694,896,741,149,282,687,
061,172,563,487,230,493,817,147,495,634,430,899,498,794,623,240,576,105,766,
856,541,995,158,516,492,207,872,786,168,540,399,967,755,531,939,269,533,346,
480,479,365,276,246,567,390,866,437,683,503,367,080,507,128,678,351,073,983,
380,282,671,205,711,278,019,434,725,670,333,173,981,135,923,679,189,068,926,
805,396,687,213,756,760,656,551,540,370,226,684,141,580,613,102,538,522,106,
499,765,344,913,994,799,114,810,689,557,985,906,430,471,880,759,369,209,447,
515,911,219,417,844,182,510,671,008,043,878,849,624,112,277,018,714,739,600,
640,842,969,493,058,433,319,643,699,299,611,133,480,657,345,710,073,620,643,
952,717,366,042,550,600,536,276,980,017,739,641,181,667,940,685,497,125,549,
717,556,218,948,889,918,959,243,801,990,545,254,938,321,561,028,151,234,458,
903,891,435,319,492,038,341,865,064,340,675,175,559,895,318,426,569,546,550,
388,460,403,527,808,549,634,623,706,245,725,655,222,591,508,147,481,579,351,
432,449,434,899,340,436,405,758,957,959,757,659,396,694,638,839,161,687,018,
020,906,409,513,682,105,386,118,867,969,037,166,107,571,992,230,262,040,000,
066,523,719,963,342,643,380,780,296,328,758,316,934,785,362,428,857,872,080,
953,610,697,268,199,579,491,771,795,209,122,029,037,722,168,031,875,694,222,
546,778,013,936,637,053,733,617,319,802,274,621,853,252,558,260,723,170,348,
169,395,186,736,752,348,228,880,265,580,657,598,292,621,623,737,570,794,703,
492,424,887,983,890,092,956,656,701,992,440,050,490,308,037,709,780,008,429,
098,688,399,083,737,480,263,638,713,015,946,189,253,333,330,193,071,301,391,
953,114,975,911,459,412,197,827,556,561,934,798,615,484,547,144,134,188,555,
009,289,390,934,764,138,568,734,665,456,329,496,333,516,998,366,068,241,311,
504,225,499,694,789,340,003,497,726,942,969,209,628,609,847,861,017,475,803,
063,943,132,544,086,478,182,834,656,638,976,728,173,398,670,666,449,179,333,
789,444,708,675,932,702,486,650,124,757,579,649,288,539,606,951,550,844,935,
244,386,671,912,615,602,865,289,181,743,165,441,486,956,186,565,192,094,079,
287,636,653,064,365,259,677,657,823,010,692,223,844,135,123,875,741,691,969,
274,336,222,635,078,084,991,027,839,998,968,535,450,448,503,233,543,038,539,
094,110,328,632,035,364,308,667,402,807,045,455,537,921,543,857,677,732,959,
653,787,497,132,809,252,245,771,294,426,726,561,537,506,551,074,661,238,946,
665,656,388,301,202,970,935,309,844,225,159,036,282,264,276,335,675,777,565,
887,735,953,628,828,589,622,432,752,884,696,046,301,956,410,958,701,094,493,
338,479,782,968,091,436,211,610,844,425,504,306,418,178,409,528,084,361,453,
717,733,157,946,773,178,403,104,452,504,668,733,374,486,983,075,696,550,336,
006,235,717,089,401,650,098,192,888,924,366,427,988,007,074,818,461,785,324,
640,449,993,708,585,881,411,998,004,232,256,651,025,133,920,202,839,264,097,
906,278,328,554,957,295,595,567,350,870,858,993,077,322,499,320,020,469,858,
365,853,936,001,282,571,002,390,438,717,033,915,262,885,426,796,105,765,824,
968,909,807,106,508,695,391,579,971,416,331,392,794,708,753,124,790,224,399,
906,644,755,624,678,987,911,916,997,136,452,209,629,154,376,748,218,957,143,
701,844,608,809,783,868,802,550,694,857,037,177,226,071,339,969,483,023,590,
007,814,687,046,923,793,779,286,486,131,550,046,212,279,893,681,600,415,069,
709,186,320,619,242,267,174,728,807,444,255,000,268,642,492,495,952,195,588,
959,833,683,196,472,434,119,936,218,795,437,333,545,003,363,348,427,567,192,
170,111,264,331,690,471,049,970,930,933,859,766,502,746,785,172,262,535,788,
658,976,433,544,952,738,839,427,327,830,481,175,783,150,335,964,149,379,360,
014,655,414,347,584,278,058,235,482,610,968,409,462,666,473,691,641,673,505,
889,742,847,128,643,622,580,283,938,811,479,861,916,053,576,650,070,342,237,
744,677,636,775,241,507,741,945,166,411,106,653,438,139,891,000,783,080,067,
893,090,876,942,410,599,639,168,383,546,947,852,431,647,467,516,681,750,209,
110,733,060,140,957,342,714,645,985,590,162,560,797,311,059,987,740,475,890,
052,092,536,347,476,180,470,167,322,926,447,276,832,580,092,917,928,270,160,
546,771,681,479,975,137,954,950,603,785,311,104,418,416,540,592,137,822,654,
806,755,860,343,266,967,160,142,406,138,273,942,411,317,423,126,933,084,929,
610,090,596,479,458,868,191,270,557,592,933,556,967,193,791,795,655,478,672,
063,478,080,054,728,845,962,619,454,177,848,910,269,388,803,939,028,440,641,
058,903,656,098,305,177,034,460,831,647,766,962,530,331,993,252,490,065,488,
541,657,948,115,911,541,198,465,300,660,685,129,347,618,109,691,376,001,786,
822,140,689,312,751,807,347,562,114,401,735,110,062,265,760,106,761,356,923,
693,810,102,306,624,746,504,134,469,296,215,983,814,890,447,915,365,177,357,
660,401,418,927,427,416,716,314,081,234,435,448,594,951,569,696,414,352,574,
645,941,110,958,717,228,304,606,528,972,078,021,578,225,197,996,393,220,644,
594,857,617,266,878,656,767,284,218,025,448,620,291,350,584,928,310,659,787,
504,546,445,758,139,891,238,865,965,256,247,213,496,964,068,184,316,676,367,
989,612,356,751,946,458,159,659,682,516,730,115,487,787,934,679,209,030,925,
509,407,879,751,058,562,350,668,717,792,154,217,400,854,878,420,973,217,873,
396,215,864,323,819,810,461,591,442,252,222,958,055,472,502,177,064,941,317,
842,099,843,700,602,000,257,564,455,710,436,947,228,605,690,068,997,353,229,
182,465,291,219,599,274,724,415,159,332,678,578,658,597,522,802,268,160,066,
529,992,884,027,492,703,308,563,197,602,691,821,214,175,291,824,604,865,262,
984,261,774,141,186,978,963,925,822,375,222,865,537,998,846,915,591,959,420,
018,462,738,898,750,211,313,502,792,989,468,074,176,082,250,847,916,126,753,
308,375,665,288,401,303,918,328,566,464,764,582,954,211,746,024,061,730,676,
414,039,322,794,752,196,613,648,416,464,009,563,104,654,471,168,157,801,446,
087,388,437,520,983,519,300,533,552,333,116,326,113,482,807,733,601,449,936,
858,039,627,981,764,723,320,343,165,884,132,344,078,485,396,406,435,447,906,
393,883,011,043,181,604,709,425,551,857,651,548,425,006,449,713,581,315,126,
283,543,807,773,293,289,514,863,511,078,135,515,312,676,996,454,718,811,686,
168,869,262,194,059,072,185,857,456,901,248,920,844,143,990,788,139,407,067,
513,120,010,786,904,023,424,110,751,479,624,939,389,690,992,160,389,335,526,
858,212,565,067,008,356,664,557,619,448,978,627,291,073,927,079,533,544,067,
796,263,921,585,939,661,389,186,485,976,205,012,414,787,235,585,561,572,556,
459,250,039,819,255,432,430,318,668,468,033,896,923,707,783,866,280,315,556,
171,112,079,555,292,054,011,446,373,603,503,632,351,872,150,727,123,695,742,
564,792,346,934,769,225,529,753,503,858,829,162,457,406,786,985,577,377,558,
774,253,615,657,969,970,780,836,363,834,218,955,534,310,090,173,332,753,360,
371,552,997,327,164,350,774,631,131,368,635,193,448,325,886,059,229,226,236,
180,397,539,119,834,831,806,017,238,769,743,675,965,825,811,942,465,922,076,
243,146,505,821,805,224,596,586,955,002,621,546,018,098,869,446,342,450,815,
114,487,561,565,628,929,243,794,383,869,191,375,391,727,357,511,829,441,270,
135,472,664,316,270,189,982,947,461,934,348,309,992,248,357,251,600,185,112,
279,406,905,438,639,649,634,195,996,903,716,857,601,375,528,401,390,728,932,
940,771,147,045,708,912,701,906,215,301,088,191,621,464,195,471,112,396,182,
130,651,109,292,692,601,978,178,564,574,239,986,728,376,969,342,921,015,067,
535,204,047,214,288,352,450,902,369,271,555,537,403,654,660,493,263,836,758,
897,365,728,052,884,786,950,985,888,341,417,207,062,318,025,811,027,083,010,
860,131,174,979,098,601,785,592,989,144,156,700,821,025,531,745,092,691,798,
127,354,973,768,841,815,525,805,645,137,272,352,097,310,230,175,620,292,250,
825,050,784,361,034,056,195,015,413,327,474,195,752,841,635,768,892,119,249,
551,415,605,196,344,698,301,157,945,829,228,083,347,932,303,233,286,993,356,
239,526,240,634,766,364,560,336,954,276,511,373,238,262,400,690,835,292,170,
712,840,880,129,378,336,754,695,493,019,060,374,189,345,514,711,894,598,035,
118,361,462,717,293,080,476,076,410,562,729,470,834,294,449,054,177,419,984,
059,289,255,981,018,903,954,991,467,353,299,603,571,029,051,756,838,209,023,
100,931,504,761,938,909,587,964,599,776,567,893,858,202,587,524,832,676,031,
323,746,257,598,182,915,631,312,541,333,135,660,005,020,530,796,730,817,497,
070,745,117,188,164,972,005,242,100,344,277,531,838,209,995,577,582,343,446,
794,143,497,961,531,854,550,452,411,535,076,774,671,785,539,570,952,129,345,
982,273,066,595,208,640,620,027,865,171,013,215,069,821,036,817,203,553,389,
603,895,794,421,591,982,872,283,831,434,372,539,956,824,407,997,427,894,802,
852,938,400,809,707,884,448,543,815,540,503,257,888,026,350,360,895,059,914,
533,205,986,338,915,209,479,484,063,491,096,906,907,242,531,041,546,421,112,
501,775,197,886,590,950,231,167,793,395,429,867,596,499,883,763,244,985,485,
478,018,785,961,938,147,619,589,716,888,813,167,970,634,080,079,592,447,427,
217,633,161,810,297,157,913,313,084,212,435,393,201,726,978,767,395,791,186,
562,792,538,627,226,936,007,045,232,119,544,733,154,097,348,718,484,254,608,
614,902,858,368,087,003,654,351,714,553,261,291,969,549,169,189,106,242,962,
249,376,799,995,767,347,243,229,627,645,154,661,927,300,183,627,567,487,179,
506,354,165,696,747,306,862,032,675,587,596,689,323,778,747,644,173,128,991,
520,630,567,959,901,522,744,874,190,051,488,426,357,145,936,123,070,468,243,
816,754,842,111,409,247,551,530,095,740,392,989,673,312,050,047,190,519,678,
734,775,156,495,271,431,181,342,736,770,422,353,879,034,065,809,076,771,273,
229,431,229,805,583,554,508,683,705,192,615,602,145,399,929,334,014,553,023,
467,161,184,835,213,552,793,006,696,487,033,552,213,120,408,541,478,422,349,
644,873,193,147,329,750,073,031,855,812,607,400,817,169,661,012,335,040,976,
180,653,386,239,892,197,463,673,909,248,300,279,311,103,048,946,873,648,227,
880,092,492,651,866,220,938,786,890,733,695,437,382,091,971,832,033,032,687,
604,873,654,070,156,048,906,482,437,249,934,972,237,926,559,133,185,168,378,
816,831,169,404,409,091,004,770,062,089,363,849,295,742,071,664,266,013,455,
410,853,038,416,981,961,346,687,202,417,886,929,462,924,346,147,208,282,229,
085,052,033,741,314,764,118,222,202,415,544,700,625,044,070,897,851,968,813,
256,206,286,488,398,634,004,844,351,670,016,594,209,375,053,753,039,693,857,
856,253,448,040,688,325,764,073,667,212,026,283,650,853,856,042,627,049,941,
369,055,555,447,320,004,509,044,469,866,350,041,809,902,841,597,696,779,890,
119,244,449,974,026,153,139,952,725,782,272,880,119,399,598,940,950,130,413,
512,733,583,807,371,173,009,437,610,575,344,523,552,528,770,479,452,967,751,
263,019,104,736,818,177,225,050,269,963,720,626,359,881,883,516,946,319,296,
230,662,081,022,406,568,096,822,267,755,128,281,001,426,972,058,326,781,325,
516,587,850,314,368,912,658,786,033,991,079,214,371,038,501,644,250,182,142,
999,811,025,001,377,260,157,080,521,799,353,863,327,622,065,611,383,383,588,
482,754,292,780,597,311,829,647,906,651,019,335,856,960,666,185,465,838,961,
323,274,806,941,058,146,489,096,445,039,824,310,382,927,136,909,803,285,366,
276,341,047,229,844,663,790,322,158,005,036,516,551,176,022,875,142,855,786,
650,070,362,739,531,230,085,266,905,329,736,589,800,841,584,870,249,109,145,
459,820,882,289,749,004,095,663,576,271,919,673,666,847,887,528,324,480,758,
113,865,411,461,118,160,820,140,116,685,550,866,164,598,094,423,847,291,607,
613,292,750,646,710,147,374,169,940,461,442,842,300,224,102,195,915,146,601,
819,164,752,198,017,856,307,797,844,230,587,123,578,620,405,370,208,071,074,
105,875,099,154,333,007,086,301,969,163,164,083,890,699,875,360,712,824,999,
244,032,246,174,080,117,074,153,718,349,562,324,493,623,070,411,676,124,472,
411,953,447,989,095,282,687,167,486,531,783,623,043,948,004,771,187,372,355,
075,991,558,628,535,520,730,455,215,031,535,693,316,813,237,830,662,346,283,
322,196,074,506,510,118,054,920,493,641,671,987,222,873,049,399,019,140,281,
246,793,288,011,341,295,825,428,115,218,573,056,112,779,388,195,054,845,439,
933,458,418,035,544,504,546,323,405,230,237,364,140,833,758,395,876,458,053,
559,393,723,880,260,210,043,244,442,208,981,924,620,487,747,518,021,241,265,
629,410,263,379,254,923,796,674,097,138,234,269,645,323,017,360,854,110,652,
571,147,955,427,796,141,260,383,259,674,263,423,720,023,502,629,268,406,946,
740,848,701,899,095,836,016,122,489,512,735,067,879,303,695,192,631,616,572,
847,890,348,381,182,593,767,226,537,398,566,102,282,815,834,058,696,386,411,
226,338,917,388,999,483,383,918,785,427,832,112,203,948,150,132,859,402,986,
847,336,494,969,950,227,753,257,355,813,948,795,765,360,584,605,379,916,719,
014,430,650,644,811,232,466,041,391,340,361,225,718,996,674,527,038,143,381,
903,877,030,232,822,912,278,784,242,485,451,992,079,685,481,724,103,889,720,
607,822,331,847,179,367,827,225,963,367,827,174,660,129,627,143,638,048,160,
376,769,873,793,583,847,545,350,214,326,074,015,747,235,102,524,990,171,423,
552,983,516,811,367,486,967,128,580,606,962,669,379,932,972,887,278,236,923,
518,537,584,343,103,596,672,519,334,025,224,331,222,904,836,461,355,969,063,
548,586,729,292,278,799,958,247,396,698,575,784,401,133,132,076,700,372,857,
622,663,884,503,533,528,851,228,525,908,014,193,244,894,496,489,234,962,662,
363,487,922,022,832,850,179,204,459,575,045,387,452,685,520,634,126,647,128,
976,330,980,949,603,270,594,537,875,740,248,526,617,479,869,910,365,424,288,
313,687,375,516,294,194,311,310,389,577,435,907,907,834,359,588,481,297,743,
062,867,695,101,789,397,517,717,614,628,777,702,550,190,565,785,429,044,759,
960,659,198,209,771,549,354,084,059,986,237,612,690,247,761,342,355,342,210,
642,361,856,551,314,045,075,550,763,550,998,589,400,624,532,481,765,834,002,
211,602,146,399,457,165,370,534,130,529,847,244,278,631,657,587,519,827,474,
206,865,206,473,736,886,073,410,048,504,211,550,688,613,228,985,306,897,042,
601,481,841,436,219,177,616,093,202,081,940,364,526,898,076,463,750,171,888,
642,359,436,893,148,864,536,486,747,698,422,026,915,635,707,980,342,623,892,
233,747,919,837,905,735,955,420,387,910,754,032,631,562,768,008,047,816,458,
533,771,970,909,843,789,575,288,324,780,684,689,730,851,381,649,207,717,950,
090,139,596,150,129,320,145,710,305,423,292,606,898,464,772,175,378,241,237,
997,925,490,978,478,848,052,000,806,695,020,505,110,765,653,910,224,367,618,
499,599,092,306,211,305,612,514,971,459,064,124,597,161,654,361,164,180,539,
341,785,045,675,486,692,154,091,182,324,203,235,738,980,806,070,266,846,297,
366,897,431,153,148,159,084,268,447,124,042,621,006,182,806,173,958,975,543,
306,233,228,177,289,604,129,205,883,960,698,676,112,040,117,509,358,397,036,
865,284,250,086,652,258,941,168,623,074,753,050,965,679,245,908,559,538,041,
820,328,196,093,583,260,368,712,973,294,448,964,054,603,854,491,370,725,503,
193,062,151,592,203,578,038,517,315,239,092,060,942,559,388,943,873,233,478,
523,620,194,062,218,893,596,109,683,492,390,092,868,122,349,659,781,776,910,
807,779,874,863,255,660,290,359,870,074,949,740,699,311,319,190,267,543,605,
877,975,617,064,079,832,585,038,102,181,805,060,807,462,121,750,995,262,636,
378,867,635,471,795,554,673,421,853,715,193,477,796,828,556,310,465,866,275,
005,564,403,558,633,212,448,937,987,118,813,945,410,048,003,368,064,682,224,
681,788,780,274,834,916,851,289,482,538,544,601,770,407,118,948,637,143,394,
091,890,417,781,422,857,058,100,310,360,186,222,727,272,264,809,425,596,038,
863,300,847,743,617,933,768,104,386,631,879,182,996,827,493,753,054,409,093,
081,844,759,066,219,242,847,196,492,973,311,332,768,817,147,117,317,100,259,
981,690,980,893,108,766,428,643,579,071,430,092,814,109,794,773,746,255,880,
926,292,673,139,161,362,048,983,600,093,977,504,916,033,463,632,424,518,639,
969,581,530,937,503,135,038,272,823,251,437,050,535,721,925,332,162,758,514,
176,349,533,563,720,844,488,638,094,797,893,152,534,239,450,088,542,078,701,
539,075,565,964,843,180,208,006,664,406,704,867,784,610,837,203,089,162,112,
178,237,122,839,790,674,654,531,714,481,355,198,738,126,012,624,924,770,531,
526,381,980,255,969,211,448,948,689,304,344,283,807,425,519,847,048,216,148,
883,484,115,164,310,140,230,625,836,312,196,712,000,499,054,994,158,098,649,
392,465,493,885,673,697,110,321,457,358,328,365,717,493,290,736,407,441,365,
038,490,384,252,093,206,600,589,360,068,576,323,226,427,859,843,956,861,364,
457,104,144,016,135,467,789,273,559,799,249,293,169,241,540,325,466,345,282,
816,487,996,966,821,395,785,497,417,527,280,671,189,803,653,171,539,683,895,
203,274,595,337,591,822,568,208,816,774,817,911,108,699,665,543,552,721,979,
435,740,182,368,498,290,290,948,211,338,733,354,933,543,594,346,586,147,278,
346,097,186,349,575,237,523,154,399,556,911,440,307,962,844,682,049,714,753,
989,788,993,637,545,623,951,853,218,556,535,348,541,491,101,868,522,455,316,
761,323,271,849,514,411,981,416,743,223,901,355,021,446,430,814,926,917,992,
851,207,288,924,175,654,769,340,541,714,861,951,149,935,922,616,297,400,165,
293,146,252,240,433,682,227,754,002,561,235,288,755,810,554,509,214,500,228,
353,208,377,211,390,152,404,922,416,137,962,266,664,820,597,596,006,031,338,
927,809,638,043,894,397,690,096,152,280,243,881,832,028,443,008,201,280,016,
297,286,666,975,241,426,025,817,168,492,441,204,684,002,803,089,290,453,409,
856,671,551,063,855,311,867,353,502,449,608,315,788,594,683,393,068,801,641,
520,087,605,177,880,315,999,361,247,403,272,990,676,397,005,163,477,459,801,
050,307,715,603,716,945,645,019,531,989,987,077,361,546,121,754,851,586,205,
868,161,322,009,268,921,878,389,887,043,489,457,640,995,903,859,215,935,366,
742,307,948,707,009,888,258,877,569,290,673,156,838,498,606,202,205,386,593,
754,094,282,141,373,998,508,039,351,730,408,049,931,931,019,643,529,691,133,
623,137,711,287,928,580,126,326,759,298,443,173,681,001,201,035,199,759,749,
312,683,887,811,260,117,110,009,230,090,533,405,334,258,181,558,122,223,751,
270,085,193,256,835,646,902,333,721,426,948,001,510,424,318,354,608,202,963,
732,263,795,681,574,353,677,796,245,385,149,168,785,386,298,437,204,934,750,
257,716,672,427,042,474,903,809,139,362,293,501,757,868,556,504,178,338,525,
219,714,021,993,508,863,070,491,661,343,680,985,317,101,866,301,503,042,094,
383,778,207,761,063,925,301,172,929,851,767,800,470,334,621,154,124,932,293,
817,243,840,925,616,073,713,087,417,013,675,874,708,123,253,361,767,119,116,
406,765,520,679,788,814,381,354,590,132,790,111,598,089,387,746,762,962,867,
153,999,853,357,465,806,293,320,690,773,845,561,922,543,587,509,954,339,100,
160,955,864,756,711,787,016,465,867,115,013,412,167,981,230,142,687,216,557,
364,438,704,964,148,959,331,978,771,377,298,371,940,407,942,637,425,917,475,
338,340,926,649,251,715,899,955,338,437,851,729,494,375,868,691,145,599,812,
790,869,999,906,567,160,541,352,776,393,608,963,602,697,131,741,587,405,058,
373,707,171,091,979,398,420,547,054,340,988,776,595,213,401,133,468,524,187,
078,169,907,550,894,151,150,848,156,307,388,147,718,850,564,689,415,749,330,
097,248,993,491,939,848,952,192,947,675,364,356,260,618,805,581,858,373,691,
171,366,684,712,056,916,623,976,945,814,257,505,921,699,412,779,316,659,072,
629,357,403,606,961,293,715,903,432,761,986,887,951,194,852,270,320,838,546,
321,598,501,497,220,641,346,258,406,908,905,391,986,569,209,456,889,065,558,
045,325,397,571,955,026,520,409,104,440,181,194,789,116,752,488,295,316,183,
464,220,253,261,050,254,984,724,325,063,620,329,626,866,830,578,426,395,585,
150,334,669,002,841,678,526,695,751,542,891,635,935,034,123,839,806,922,287,
494,213,156,803,784,455,833,789,162,531,853,532,963,919,530,141,609,520,599,
671,745,554,592,776,167,620,271,627,234,699,914,958,321,989,712,480,710,770,
196,205,709,919,370,122,735,074,328,521,842,704,027,349,526,503,456,395,265,
403,964,637,132,012,905,466,750,271,548,784,398,083,749,370,137,668,388,198,
393,165,760,293,931,448,568,293,736,439,021,619,090,757,433,413,719,725,017,
363,675,572,116,212,549,771,031,730,967,861,682,312,489,169,809,962,102,428,
644,063,441,402,556,131,952,558,149,461,038,778,584,944,062,509,517,907,971,
951,911,466,597,173,207,606,995,938,880,477,903,870,590,398,413,777,325,157,
263,227,908,636,413,788,202,744,667,482,882,433,263,934,622,478,749,156,840,
397,383,013,563,141,042,260,331,302,624,589,178,733,287,653,147,055,927,030,
992,355,150,406,004,651,947,406,868,089,772,742,741,392,369,044,654,248,640,
095,572,067,814,257,369,146,442,912,909,192,838,283,575,717,081,160,265,269,
693,857,661,836,759,046,297,632,695,584,904,168,604,979,650,916,554,985,465,
127,950,978,342,850,854,516,831,090,207,350,133,466,705,649,695,495,081,721,
174,756,707,662,408,515,652,301,805,614,933,023,742,945,513,893,574,996,300,
643,421,566,491,160,597,618,003,011,718,077,123,072,313,145,543,235,445,064,
215,851,484,384,821,147,012,321,342,768,916,215,213,423,280,462,066,033,328,
459,114,155,477,073,839,411,560,402,114,011,667,631,484,810,491,370,512,352,
003,913,254,278,321,294,769,435,666,527,176,070,845,887,094,979,900,987,032,
669,481,319,812,956,596,160,764,025,400,247,473,391,661,128,803,105,533,161,
767,138,576,905,525,725,931,860,150,639,078,143,019,856,009,981,081,365,077,
832,741,693,945,482,097,654,469,697,022,471,893,212,547,623,042,901,717,173,
677,406,428,216,612,341,372,847,306,900,779,729,426,807,481,320,512,396,681,
377,792,691,274,340,695,149,192,363,727,442,309,482,907,215,593,370,179,588,
199,615,820,539,993,449,283,111,760,976,971,506,279,855,057,827,992,472,544,
127,699,441,738,202,308,458,680,463,532,722,824,687,529,942,275,018,497,712,
995,964,900,911,943,888,197,761,396,717,963,970,504,714,299,122,708,072,584,
179,879,723,915,012,856,137,237,013,708,383,628,461,514,785,991,291,534,535,
937,047,321,810,824,202,232,070,694,971,679,454,863,120,335,181,626,157,841,
518,236,579,847,990,127,810,914,994,003,403,835,276,489,730,176,998,353,179,
430,999,515,777,082,899,738,562,496,115,965,549,845,868,398,839,533,792,572,
622,482,214,264,289,183,922,446,050,864,669,595,897,460,305,068,831,969,491,
400,959,585,652,615,860,458,686,976,732,790,164,908,222,867,291,333,066,990,
240,191,422,507,673,174,093,787,351,108,491,612,418,817,561,622,410,798,607,
932,978,178,335,794,562,427,567,426,223,838,583,211,617,450,083,751,263,648,
166,857,304,750,352,725,199,596,121,467,894,897,400,190,220,959,061,245,497,
548,928,186,200,685,520,592,778,243,320,271,638,156,815,010,068,471,693,386,
240,621,716,445,975,078,211,048,527,027,933,182,076,266,136,379,647,356,091,
625,859,403,730,866,312,620,133,366,418,493,758,213,036,804,401,791,284,618,
527,965,111,042,597,262,034,896,359,830,762,311,805,336,385,607,047,534,000,
536,135,947,821,670,489,896,275,547,745,522,375,991,262,544,082,033,441,581,
811,782,499,433,474,393,166,751,607,586,940,774,322,324,224,078,516,907,773,
105,193,505,449,247,626,068,569,285,173,728,187,371,937,431,284,199,702,212,
912,088,963,582,299,360,438,476,118,824,315,971,696,341,440,711,374,446,614,
050,722,990,137,389,744,132,776,278,095,783,296,534,988,089,115,365,967,595,
229,915,103,888,308,859,886,778,438,773,968,163,078,603,076,685,061,712,975,
303,628,973,915,094,646,979,752,350,235,308,496,747,076,907,202,042,011,955,
413,450,491,536,107,482,318,721,577,436,868,826,788,388,358,195,633,331,987,
515,306,377,845,379,127,949,336,504,066,440,316,388,476,657,120,883,815,204,
576,068,420,713,508,589,703,766,289,027,313,745,856,117,135,989,202,584,339,
006,046,840,656,107,474,888,259,074,063,597,204,781,937,774,152,680,606,960,
645,371,664,465,804,488,897,781,772,905,650,279,456,296,322,576,267,981,961,
077,365,251,409,398,691,200,615,998,119,376,774,410,840,368,916,757,868,825,
203,758,101,900,939,032,627,918,928,152,114,265,506,271,886,987,795,575,365,
694,079,082,089,972,876,405,692,691,342,794,579,931,698,937,895,332,733,208,
974,675,467,902,601,662,563,798,006,583,176,808,348,658,757,824,758,078,533,
035,326,362,480,536,842,850,919,150,688,346,262,358,485,322,535,100,463,882,
143,561,348,909,996,483,601,015,463,133,524,608,259,942,727,811,435,045,789,
914,206,529,945,365,036,750,726,851,404,888,298,099,366,872,198,170,365,612,
556,614,847,013,155,507,000,651,236,955,525,452,914,475,206,445,050,373,764,
482,019,614,258,025,113,318,897,418,609,726,964,578,952,732,465,678,297,601,
391,202,508,072,364,820,045,911,187,135,594,378,728,903,639,534,455,858,121,
268,627,652,869,090,192,328,518,280,908,781,671,332,845,794,597,293,724,055,
055,447,516,749,215,800,991,686,545,187,639,825,808,032,337,057,006,506,661,
361,974,657,496,131,727,313,820,101,918,735,143,699,434,829,175,666,473,605,
261,534,197,005,060,596,243,407,196,571,514,039,201,696,732,708,030,169,412,
902,594,088,682,869,324,622,416,568,617,439,585,270,880,383,797,123,720,916,
236,044,450,460,297,363,092,418,892,298,257,168,570,076,012,900,554,625,870,
025,758,918,282,779,312,162,054,331,265,745,634,075,956,975,632,246,065,258,
297,655,252,737,572,926,311,788,341,486,313,958,204,093,795,680,868,490,508,
437,876,888,482,803,791,924,491,697,461,315,855,125,497,459,838,199,985,437,
015,715,666,520,741,173,259,261,603,510,765,054,082,160,380,383,719,874,058,
116,780,029,866,967,941,973,392,505,911,517,001,349,402,356,361,207,528,730,
288,430,638,108,213,213,081,906,622,746,900,535,389,198,426,508,394,002,073,
185,044,421,363,771,822,645,444,057,100,455,121,141,682,292,884,484,289,673,
999,799,516,344,114,869,927,305,914,678,545,628,614,494,783,272,966,766,660,
210,166,479,629,074,070,112,341,572,658,025,332,613,105,413,351,852,917,211,
126,933,532,254,540,121,359,012,654,070,258,949,467,292,244,561,910,978,381,
412,875,723,424,633,419,655,781,693,005,640,487,268,876,131,032,315,393,080,
064,170,730,993,317,633,654,713,373,941,497,789,527,953,735,537,524,977,114,
469,781,200,801,691,607,850,553,222,973,643,766,551,439,792,121,348,272,719,
782,837,410,722,123,701,715,522,702,879,006,891,264,117,503,127,661,262,067,
682,665,576,327,823,976,329,616,315,008,366,538,025,308,214,825,873,281,714,
694,069,429,431,440,742,321,196,802,244,526,580,531,632,310,943,896,632,620,
030,438,868,367,451,052,704,270,364,443,239,273,879,903,591,824,830,116,240,
139,981,610,035,772,748,745,942,536,031,149,306,988,291,159,865,521,078,738,
341,890,476,718,957,059,364,226,069,886,127,406,657,265,306,305,092,150,795,
179,453,623,445,252,684,199,365,457,508,775,075,112,588,410,672,826,387,235,
707,103,907,946,763,354,808,993,226,466,612,373,810,403,153,091,981,083,105,
053,240,717,191,794,720,773,227,952,931,697,944,901,375,918,151,810,306,046,
866,867,332,190,114,992,248,333,030,312,633,159,777,220,653,628,433,364,531,
535,187,239,838,437,912,315,149,887,235,423,370,257,420,168,724,863,812,896,
843,722,484,819,744,635,823,877,762,641,419,384,207,107,016,713,479,890,888,
560,233,057,069,818,918,216,061,958,383,703,713,478,181,728,781,078,008,622,
025,745,755,166,944,561,304,413,799,082,499,627,977,849,766,435,081,906,887,
815,389,272,742,436,391,685,001,128,861,160,690,311,691,706,393,213,326,008,
159,000,275,593,080,187,576,339,567,419,794,232,409,806,685,767,644,491,683,
752,014,754,215,891,993,200,177,873,650,618,718,835,919,956,435,156,774,908,
601,560,962,239,336,807,375,000,269,552,365,973,763,514,133,138,946,879,615,
878,872,799,495,265,874,322,759,676,603,095,793,253,293,187,340,949,524,412,
917,776,604,903,057,160,341,545,187,509,032,040,056,051,786,789,865,212,214,
087,622,043,311,549,116,608,956,915,691,198,512,782,020,345,671,743,092,636,
126,406,159,731,043,283,030,802,674,243,983,620,219,168,755,484,060,758,016,
806,325,403,796,658,382,948,624,145,404,384,010,288,299,161,269,008,466,526,
167,482,746,053,705,250,758,392,749,031,391,332,605,034,084,617,459,075,875,
530,129,776,935,371,238,530,480,520,650,337,916,431,834,158,860,769,135,525,
583,693,248,056,843,591,163,645,213,551,201,624,571,749,425,770,183,025,098,
569,532,541,571,281,259,967,053,564,424,553,855,666,698,167,700,623,960,847,
434,922,504,494,395,671,832,193,346,675,250,723,303,477,752,247,723,921,253,
745,049,660,529,562,515,809,022,825,311,789,739,908,489,618,943,784,969,964,
307,584,949,328,162,647,060,449,327,981,161,254,928,271,286,645,068,389,009,
379,170,969,688,067,075,141,390,877,121,576,285,402,174,402,427,331,225,995,
916,678,101,245,177,452,479,041,680,319,937,717,462,999,148,448,992,576,827,
749,601,345,267,837,196,078,027,127,859,678,839,767,890,760,196,887,776,583,
380,426,045,899,537,697,312,087,035,398,802,196,024,935,016,676,184,339,729,
014,144,528,168,545,136,096,257,925,558,724,506,317,336,260,848,552,205,846,
695,481,688,458,696,972,670,343,089,126,775,429,692,920,402,150,447,233,000,
109,347,410,368,795,894,692,546,900,658,587,999,056,517,771,099,732,122,691,
096,768,615,772,099,751,131,173,447,856,870,569,793,831,781,180,874,015,685,
956,873,476,357,062,406,998,096,943,908,495,167,127,565,522,963,687,381,616,
086,710,859,572,856,419,565,651,641,313,419,978,064,324,773,317,955,048,904,
707,337,973,175,925,041,531,752,261,734,256,934,253,869,171,850,484,876,989,
980,957,815,349,379,196,929,869,386,802,425,239,324,470,100,629,704,482,014,
541,924,719,049,844,597,718,963,053,687,022,181,389,394,471,404,808,428,906,
947,099,633,098,411,443,775,545,380,765,955,895,130,394,954,477,568,006,013,
734,995,754,356,843,356,344,453,447,333,239,955,666,092,569,396,293,509,351,
565,290,717,600,995,203,977,254,021,588,700,956,895,949,208,538,484,946,845,
583,643,305,220,597,857,508,635,727,917,918,121,224,183,280,629,858,775,649,
503,112,024,837,926,375,802,401,716,037,231,710,490,913,685,066,517,710,780,
566,438,127,383,961,590,354,652,015,821,972,663,791,466,550,603,331,401,016,
477,578,067,852,790,953,357,565,848,391,033,880,947,161,987,224,342,327,551,
577,314,334,990,797,282,337,021,977,082,366,530,612,501,291,714,746,894,407,
814,744,273,252,129,061,242,914,168,774,837,925,470,861,632,896,575,339,876,
129,951,626,015,095,608,778,926,030,227,234,869,293,590,766,597,400,611,202,
083,154,321,177,114,937,225,606,764,430,635,935,758,729,440,054,021,865,522,
072,429,793,379,288,188,397,078,282,577,541,006,023,032,910,768,977,074,213,
743,443,685,824,187,916,350,002,283,755,245,221,375,787,068,575,192,293,161,
637,373,915,527,965,025,743,935,600,973,938,338,098,612,194,825,678,509,833,
836,811,317,694,013,149,341,361,978,124,480,246,067,652,247,564,654,199,694,
377,017,337,975,494,028,183,075,099,881,974,644,550,414,744,601,915,082,431,
127,822,854,977,402,320,083,051,587,429,310,864,176,774,925,957,546,160,464,
669,801,494,367,622,025,283,945,345,927,266,681,250,606,950,331,175,867,782,
060,823,492,305,919,669,484,252,952,270,346,326,120,372,327,273,620,746,724,
322,691,029,966,084,710,706,343,065,862,693,299,498,951,491,647,406,897,760,
362,970,201,036,981,643,927,172,144,106,314,235,428,021,567,553,762,046,895,
548,068,255,840,960,479,428,093,611,168,140,763,582,976,052,699,158,736,231,
569,546,791,949,945,895,203,288,387,224,082,808,067,518,783,735,337,611,486,
495,422,297,130,610,407,798,001,192,577,411,895,104,323,455,591,824,817,317,
333,946,274,592,894,046,019,153,704,149,086,394,979,150,730,176,886,798,757,
541,305,446,741,066,558,347,860,576,678,141,545,601,071,208,760,229,458,845,
738,263,525,338,643,824,653,144,978,570,899,316,120,605,518,773,879,740,559,
961,385,733,863,191,495,238,244,084,165,768,641,247,667,724,349,794,951,502,
727,733,164,583,294,311,139,414,046,822,497,944,374,495,684,659,508,578,334,
702,215,605,159,898,431,750,820,908,389,642,739,093,729,948,403,937,554,870,
686,589,689,167,147,786,918,625,253,385,262,608,435,100,421,907,030,380,830,
793,691,190,129,837,369,062,331,804,476,294,044,043,393,213,832,118,143,344,
300,422,139,155,948,453,873,812,041,117,073,293,864,056,023,813,641,290,277,
019,977,253,969,243,159,507,209,031,279,127,405,859,047,361,078,021,979,706,
121,936,481,662,724,301,437,234,055,391,220,550,678,825,057,629,835,189,934,
337,125,884,605,012,012,322,077,331,457,421,885,014,110,282,339,160,647,062,
511,777,655,007,200,613,054,916,735,285,496,513,475,286,615,798,268,324,562,
072,321,355,216,754,632,870,409,590,905,889,643,576,487,985,481,044,069,559,
654,545,606,114,110,015,060,052,753,558,805,255,544,881,215,581,086,545,218,
168,553,992,811,786,939,286,112,718,682,531,331,110,528,383,746,976,286,713,
653,162,244,888,479,586,158,546,464,251,734,893,702,731,560,897,508,827,745,
546,573,629,582,570,827,048,556,766,799,321,928,881,097,166,708,915,925,843,
308,517,629,542,621,549,266,757,249,847,043,146,251,379,163,559,198,237,965,
851,517,835,895,373,430,892,917,795,416,231,802,905,811,087,251,200,679,879,
834,932,147,642,873,918,802,770,504,510,776,986,388,488,975,850,968,426,526,
739,649,661,873,894,901,838,417,571,383,655,119,621,980,892,096,118,576,293,
279,615,217,962,574,933,702,502,324,650,128,039,316,300,782,239,045,400,313,
589,761,072,864,438,594,889,659,578,760,459,172,804,005,591,610,264,560,387,
753,570,275,604,188,302,736,180,738,420,467,003,689,875,779,916,658,629,585,
589,309,036,768,006,148,119,151,124,291,822,634,284,115,203,718,364,187,464,
668,411,990,867,611,448,557,049,925,543,484,131,650,275,577,145,263,617,348,
288,490,087,502,561,737,793,472,010,278,995,976,048,937,729,541,441,129,019,
572,667,637,792,622,432,631,967,914,309,508,937,191,476,042,746,966,803,559,
978,968,557,100,560,659,791,078,402,771,833,691,558,699,094,994,287,149,733,
169,059,475,055,695,963,955,752,638,947,103,893,345,565,231,449,668,087,657,
342,426,600,844,673,020,979,238,236,749,060,243,955,878,140,830,088,921,734,
672,574,174,555,738,448,914,347,644,834,820,740,165,779,340,324,262,638,894,
902,138,394,121,519,941,831,971,766,988,763,237,426,870,812,249,419,367,781,
137,613,362,382,164,176,591,392,801,237,745,546,683,161,555,643,071,845,293,
793,219,143,344,099,875,854,453,370,825,059,636,679,815,668,739,753,206,468,
438,341,752,164,818,050,389,660,940,048,282,092,131,448,776,376,590,120,763,
738,846,805,588,932,661,092,424,663,701,663,213,376,029,125,516,749,422,568,
255,611,771,299,655,042,220,014,549,765,044,146,235,204,603,185,391,004,530,
332,328,222,616,045,090,548,723,486,810,227,424,918,353,515,716,831,085,436,
046,218,673,814,914,358,899,617,845,067,286,641,785,468,283,762,070,887,063,
975,555,297,764,157,308,868,095,393,454,314,496,774,364,822,210,425,640,073,
539,800,478,973,875,645,027,546,703,427,014,631,027,314,507,256,652,394,744,
519,063,392,066,176,656,730,352,764,063,612,975,612,346,336,218,414,501,951,
064,548,234,006,654,521,099,239,223,472,512,770,720,339,446,333,842,128,974,
756,398,674,706,492,904,888,854,055,642,494,274,586,585,565,711,670,576,975,
097,136,340,362,802,977,210,332,898,432,921,706,674,731,618,623,415,780,761,
746,061,581,714,004,963,784,661,713,982,846,937,538,442,519,850,061,955,699,
340,375,679,563,376,337,604,375,232,050,558,103,655,133,435,045,862,850,931,
618,397,420,973,408,580,060,025,508,388,321,673,718,847,198,614,181,370,012,
151,848,186,273,230,306,822,418,761,851,046,503,191,335,154,915,937,972,799,
224,821,663,847,550,940,451,852,568,242,242,309,981,756,207,537,156,086,590,
148,497,065,687,622,340,901,987,983,442,922,061,943,802,977,315,838,935,145,
483,340,946,084,954,335,840,749,327,950,964,421,430,864,287,982,421,540,989,
526,128,015,518,451,418,604,432,583,650,140,141,185,101,681,534,664,785,764,
935,657,418,445,642,913,489,776,220,958,152,215,187,646,376,048,428,829,984,
773,446,355,601,300,797,605,788,780,171,340,291,727,576,649,221,821,128,690,
262,529,556,644,883,427,755,151,582,009,766,528,424,760,321,133,086,204,599,
827,211,693,156,442,569,758,165,407,517,993,767,812,116,699,821,688,061,062,
405,891,516,895,353,321,232,298,398,084,025,567,568,215,228,785,278,445,034,
679,307,369,477,618,834,640,940,591,493,542,984,035,901,292,130,549,448,438,
959,864,598,699,223,376,985,215,355,422,849,710,949,640,425,387,484,109,306,
702,870,355,047,678,081,327,402,293,702,779,095,735,014,061,489,482,727,206,
866,783,941,875,550,326,038,568,025,579,839,625,598,987,465,110,566,257,133,
177,757,568,016,348,962,376,465,432,623,652,879,434,550,585,669,940,234,296,
697,936,916,379,893,042,510,639,721,882,140,877,555,126,479,672,602,170,776,
081,344,859,588,178,043,570,780,601,858,478,158,484,304,421,864,538,428,787,
872,940,712,004,229,611,122,101,223,548,716,745,309,561,867,442,159,402,092,
384,302,002,601,083,651,936,573,922,012,383,270,242,203,205,838,568,839,925,
837,414,957,199,503,055,961,228,914,604,622,617,950,821,324,149,849,655,244,
246,527,662,778,994,205,467,747,515,582,157,712,600,890,549,127,058,663,454,
640,125,889,886,612,061,211,213,430,710,641,135,736,642,947,983,461,056,274,
971,064,646,012,794,543,641,606,002,217,952,318,634,050,451,039,123,688,219,
775,675,251,421,542,638,358,461,580,754,456,098,455,346,470,761,384,628,852,
305,569,434,724,989,895,406,100,362,894,011,856,861,905,594,538,108,903,500,
458,267,422,809,757,773,016,998,677,867,054,883,701,533,827,934,231,454,435,
889,919,534,558,203,121,298,684,005,054,730,824,451,842,754,197,237,077,274,
453,053,166,416,273,926,659,620,131,757,124,377,516,311,947,245,309,060,286,
211,005,277,533,458,450,780,616,237,288,008,012,577,032,834,565,641,000,457,
037,554,421,803,124,254,275,152,568,090,330,008,877,482,009,582,368,372,112,
712,709,014,225,047,116,042,249,041,219,916,470,640,692,731,860,252,605,662,
288,656,254,535,395,786,596,114,698,467,946,838,123,840,298,095,612,979,725,
904,647,658,225,210,492,206,982,022,470,654,535,537,353,558,843,610,517,538,
578,415,712,156,252,004,649,609,328,909,635,294,984,740,330,033,255,313,763,
290,604,547,971,475,870,208,061,277,842,763,068,461,586,672,330,830,135,378,
346,991,058,903,682,192,454,023,330,784,764,059,412,921,734,125,605,374,297,
148,017,245,539,951,013,650,603,375,188,508,156,182,044,365,568,657,965,315,
657,322,722,631,543,192,385,932,487,070,362,329,740,877,303,931,749,438,502,
267,957,100,620,258,069,895,691,452,479,372,687,813,222,263,223,376,192,152,
278,401,885,830,609,708,877,690,712,191,879,520,858,619,152,034,472,242,061,
748,498,134,155,490,624,822,787,185,354,124,829,366,453,378,363,658,868,529,
402,879,657,659,004,030,885,561,583,677,199,171,223,597,718,326,736,072,049,
614,102,860,347,232,017,212,172,824,375,968,145,303,596,238,001,170,353,343,
759,425,322,796,916,949,655,758,337,285,205,529,635,489,517,520,143,043,611,
191,576,929,040,430,884,171,407,982,065,844,426,912,223,831,723,382,591,635,
053,157,019,903,792,499,097,530,885,786,730,615,346,184,700,912,791,886,942,
164,494,970,826,796,662,419,744,749,275,946,990,175,774,762,285,988,514,012,
278,423,951,232,281,929,330,734,476,842,617,482,930,303,831,208,488,337,791,
475,600,401,396,051,256,567,122,017,798,030,761,997,578,000,514,820,330,551,
090,259,212,043,015,219,548,156,214,177,956,589,292,610,583,078,412,208,053,
765,859,717,160,589,085,831,677,966,589,289,472,976,952,522,107,193,646,700,
718,578,681,524,559,432,450,956,838,051,767,602,132,356,622,220,365,751,284,
978,997,363,049,597,749,694,328,319,592,456,593,367,813,358,240,646,264,912,
381,029,925,924,424,987,642,379,838,418,042,880,261,101,832,888,662,188,481,
591,216,460,661,197,779,470,968,269,049,269,069,549,714,056,356,019,630,171,
154,455,456,889,927,420,297,876,511,580,702,042,183,678,961,007,031,848,163,
027,646,640,729,630,752,614,880,081,959,185,269,648,676,061,520,832,170,622,
243,395,207,380,569,082,793,178,464,268,685,670,038,862,977,121,935,092,836,
679,364,224,344,490,836,596,683,143,664,688,455,142,927,312,537,822,053,539,
819,277,953,833,432,436,020,321,368,142,593,348,920,907,932,558,619,584,319,
283,204,744,762,515,791,616,801,919,022,898,591,766,577,500,005,095,365,836,
446,357,436,056,620,483,872,062,796,934,398,422,837,984,651,518,266,446,302,
570,203,952,327,621,275,138,371,926,341,429,273,220,643,378,056,401,368,966,
373,307,719,356,202,732,682,516,627,960,036,654,492,971,679,311,611,672,255,
334,568,840,942,442,373,684,033,878,582,407,410,348,587,965,676,847,554,152,
759,115,605,321,731,060,118,807,265,511,614,778,473,160,114,802,256,487,437,
769,776,804,465,483,975,031,544,571,980,887,592,472,548,156,109,839,230,187,
255,137,455,340,297,133,382,537,746,401,722,639,524,870,526,446,484,356,716,
126,138,286,097,349,414,441,887,546,500,914,880,276,688,117,950,602,057,450,
945,393,604,953,968,452,440,365,943,660,240,640,387,018,101,307,890,399,361,
968,720,300,343,942,029,551,838,828,543,184,758,817,919,060,830,758,861,400,
978,652,470,176,563,524,046,866,789,127,457,335,695,000,160,832,142,013,528,
326,971,726,491,714,937,596,692,544,928,691,596,162,718,674,484,861,288,960,
069,871,082,910,408,400,606,408,601,397,407,987,313,837,835,741,444,845,756,
879,056,837,668,431,024,198,734,301,553,137,182,716,168,588,368,458,544,209,
867,666,260,494,421,092,958,898,676,826,602,198,277,816,026,351,641,519,407,
617,671,059,424,988,206,038,818,830,388,123,374,068,808,016,295,252,336,212,
872,733,420,581,516,575,271,847,974,314,273,722,753,641,929,635,530,579,202,
549,309,270,512,734,857,670,877,282,015,987,609,479,139,359,926,567,237,928,
482,506,661,471,666,676,768,038,996,807,303,346,875,978,701,870,506,142,311,
660,266,774,229,377,776,346,946,388,139,111,532,073,655,935,462,555,021,854,
099,788,800,951,013,673,571,053,511,617,157,930,522,675,717,567,876,863,576,
998,301,902,553,247,904,814,713,470,316,611,953,401,489,753,016,485,140,616,
987,945,469,856,652,694,534,912,410,186,777,741,653,562,148,938,345,100,494,
609,621,630,609,963,175,731,508,891,161,740,371,587,671,161,796,638,202,893,
742,816,162,114,022,798,498,570,550,406,323,509,081,295,475,903,173,720,955,
611,710,870,652,965,328,078,928,273,983,187,419,212,096,797,405,434,554,904,
013,432,909,265,024,342,583,270,996,566,167,568,250,325,638,268,700,328,847,
224,873,847,098,813,972,144,940,282,878,721,916,610,872,198,109,179,308,121,
819,819,973,166,315,062,733,247,544,390,668,198,760,447,284,989,582,904,341,
305,252,071,805,026,907,720,583,468,569,249,895,665,590,970,593,208,604,059,
604,481,156,219,149,490,659,031,291,795,234,781,795,372,896,272,239,113,008,
947,312,996,808,880,669,797,524,748,273,455,395,048,834,210,618,379,040,430,
082,759,259,359,694,726,760,501,445,284,757,465,332,315,658,477,229,045,452,
234,379,697,074,462,502,359,044,260,481,206,089,306,180,795,365,529,999,484,
063,096,197,744,581,839,161,426,521,838,098,190,993,238,113,866,680,324,974,
932,363,652,967,610,208,243,044,351,189,745,771,112,366,715,013,551,854,126,
764,589,942,709,092,386,567,385,614,709,149,966,002,346,777,665,634,294,553,
486,869,398,434,681,693,625,672,653,206,689,258,939,544,734,425,535,800,152,
798,927,762,103,939,755,359,973,854,872,337,924,736,447,020,600,823,468,239,
338,548,116,225,316,864,756,594,436,462,203,369,201,514,395,103,529,270,313,
542,261,676,338,455,744,581,867,725,583,575,762,637,524,734,425,629,764,650,
281,913,607,547,935,677,610,662,473,596,098,029,082,460,474,607,351,812,227,
379,929,119,718,889,430,829,052,898,886,912,439,294,045,921,379,848,988,554,
956,319,511,891,077,728,440,017,821,059,227,295,927,105,350,663,963,107,583,
146,469,515,145,502,938,549,214,544,907,251,980,836,150,460,170,161,563,473,
158,166,600,704,112,293,857,697,089,372,427,849,083,877,253,686,460,406,475,
684,278,667,211,061,991,121,963,630,151,629,478,541,109,295,342,249,833,424,
697,447,547,678,956,515,789,362,955,049,074,247,310,096,977,853,499,873,155,
571,462,215,595,559,457,909,512,291,422,287,532,672,352,067,358,052,794,868,
505,999,252,154,445,517,092,904,653,175,197,455,111,931,923,383,360,082,418,
456,574,122,980,569,046,122,523,910,305,561,985,407,153,713,048,204,578,473,
185,463,226,754,985,054,004,648,980,560,913,267,172,562,653,962,081,319,172,
253,172,137,834,052,418,971,055,536,368,698,655,809,672,415,936,778,198,954,
545,372,318,443,469,764,248,939,424,551,391,621,654,323,881,685,870,841,514,
996,139,916,997,483,961,470,178,969,724,359,961,280,445,580,027,964,946,427,
027,097,775,219,197,057,562,398,235,578,094,033,862,393,626,219,591,449,133,
231,964,177,893,219,955,893,601,479,268,228,791,431,299,818,826,766,057,876,
880,446,392,972,360,483,153,659,916,378,944,987,298,844,294,650,117,910,622,
169,462,369,231,874,046,452,737,490,266,413,787,491,262,661,189,403,287,471,
091,810,023,144,505,671,271,685,345,030,843,801,325,488,976,746,252,053,885,
667,424,841,139,090,486,088,633,944,578,060,357,658,997,640,643,091,849,935,
575,208,920,646,392,865,513,479,973,012,780,040,907,629,914,662,603,917,205,
258,764,667,566,746,412,329,707,545,488,598,369,993,003,124,242,886,919,972,
054,713,864,321,578,383,590,432,833,963,975,163,572,282,521,656,607,916,161,
499,765,540,877,781,213,469,032,168,608,425,825,407,903,032,139,707,058,468,
691,656,309,670,529,052,175,401,277,849,371,660,315,182,770,364,271,494,006,
070,140,807,925,997,066,504,603,318,336,278,925,688,493,201,822,111,062,209,
268,592,176,978,266,835,658,093,481,768,853,481,631,136,679,935,627,019,317,
919,110,931,612,073,532,114,901,711,772,666,752,402,574,815,137,978,290,969,
264,668,928,695,728,676,100,314,805,599,351,034,075,400,490,248,379,186,976,
221,333,251,278,790,773,332,167,188,431,004,497,563,429,344,595,123,266,684,
315,743,776,792,521,974,912,231,738,909,575,019,787,237,692,217,688,123,763,
647,689,116,105,910,425,675,953,996,964,270,867,396,040,641,186,317,683,267,
026,784,552,425,497,102,571,925,723,595,834,058,254,309,311,367,871,242,613,
364,330,651,501,688,579,902,978,149,453,292,365,520,075,167,304,275,166,957,
419,310,830,406,635,952,039,904,390,659,188,162,166,623,683,622,463,804,294,
202,495,989,683,745,342,865,696,163,683,387,886,150,853,977,354,174,242,910,
537,917,935,496,650,811,008,501,950,598,654,542,030,092,470,658,181,293,100,
061,910,526,820,438,408,167,153,752,667,631,296,825,881,590,135,196,184,072,
552,173,934,432,424,692,959,597,659,117,647,319,352,450,296,902,914,011,471,
070,139,870,473,765,949,785,834,169,794,269,452,849,846,922,176,754,887,630,
665,996,722,340,989,400,897,796,526,957,072,435,298,469,054,789,677,177,402,
949,865,016,213,065,324,192,227,138,718,200,707,846,167,693,411,861,145,742,
468,601,774,101,777,233,158,850,404,545,313,060,059,389,828,069,520,746,874,
811,463,723,477,524,304,286,256,541,360,039,585,785,593,909,644,093,623,571,
058,510,040,618,204,479,781,714,378,615,678,264,528,325,373,805,841,688,465,
572,211,772,802,313,749,772,332,036,469,449,045,229,001,320,208,679,890,738,
536,661,821,155,128,460,127,160,538,323,599,295,899,442,393,152,480,693,119,
754,473,472,007,854,935,014,375,616,563,371,680,913,320,627,529,642,242,504,
133,090,564,563,373,539,578,923,632,720,474,995,397,170,606,876,180,936,025,
236,807,476,241,122,755,808,927,953,883,363,150,873,036,834,076,123,943,610,
012,747,356,428,355,473,060,468,160,316,593,168,976,370,931,639,466,564,871,
018,951,905,401,185,056,058,520,894,417,085,431,590,518,977,410,803,417,275,
230,514,548,375,064,989,434,600,455,166,452,415,582,059,663,356,733,363,793,
944,924,106,047,716,870,676,338,428,200,690,475,150,556,056,379,310,563,962,
043,508,852,234,794,606,412,246,344,554,160,809,224,512,746,301,736,620,380,
801,144,852,088,452,813,446,420,270,030,358,900,884,117,496,721,086,483,661,
205,481,203,468,906,772,399,769,017,908,374,757,296,685,976,795,052,425,782,
963,534,866,669,696,872,440,165,965,388,208,951,776,039,113,373,984,850,154,
144,010,138,646,303,680,780,613,547,545,017,930,331,505,768,041,518,243,383,
548,924,413,117,139,950,235,700,648,605,591,296,760,464,780,706,178,214,728,
365,338,686,491,430,370,621,888,019,529,923,989,338,430,476,482,057,292,164,
970,837,015,340,046,692,055,068,209,885,761,304,841,948,692,968,726,743,636,
513,261,396,585,932,171,040,978,008,242,756,824,903,043,959,289,776,187,374,
042,243,906,452,465,717,295,855,231,803,329,305,424,850,330,766,445,446,360,
364,260,721,870,893,613,830,865,283,394,771,365,137,299,553,494,035,202,111,
007,144,976,671,422,153,513,824,769,822,912,992,539,638,503,050,780,401,333,
630,923,857,843,534,408,142,153,103,660,289,287,566,051,890,830,292,760,879,
130,728,884,839,113,014,873,394,776,885,363,812,185,307,975,872,495,847,658,
267,087,948,587,992,710,018,784,983,127,550,269,564,462,676,685,977,172,795,
958,448,036,116,178,906,063,398,194,690,103,737,913,750,202,602,699,968,687,
039,554,936,685,097,019,338,500,464,017,254,785,321,971,714,147,416,229,782,
571,996,994,618,476,933,571,067,872,733,484,533,197,825,728,335,620,488,800,
046,305,254,398,248,987,709,695,432,562,403,516,937,627,961,009,424,213,962,
421,051,726,081,353,003,493,985,109,517,384,307,407,637,912,617,594,341,001,
274,159,968,535,513,390,619,601,081,155,134,336,802,272,778,269,212,736,122,
790,517,711,615,031,445,911,853,968,680,398,076,479,938,508,738,791,439,014,
068,925,049,586,163,284,606,365,152,436,476,272,829,494,366,575,437,827,340,
625,878,387,084,990,594,812,577,261,368,424,505,688,476,290,512,708,447,564,
996,566,393,902,750,059,916,227,655,231,485,450,808,752,306,600,358,852,749,
888,603,337,587,594,661,595,960,393,475,217,765,698,645,895,961,101,244,315,
840,880,265,574,209,010,023,203,825,051,153,701,008,690,191,628,788,635,447,
578,137,346,391,898,506,725,849,936,332,725,619,044,336,961,959,717,224,301,
257,270,378,170,680,355,570,887,641,455,657,466,353,078,179,832,145,242,448,
170,662,045,049,792,550,756,117,216,672,579,831,437,577,001,835,448,660,120,
739,528,923,714,480,151,607,555,148,012,426,160,945,174,625,357,772,847,360,
003,794,083,473,478,273,078,438,929,960,324,727,553,859,802,675,159,327,183,
357,295,767,183,417,478,884,894,939,716,282,705,383,698,930,517,835,230,318,
490,203,482,291,026,763,297,197,573,642,316,076,182,583,260,890,600,158,969,
518,613,108,894,150,204,849,199,758,019,610,289,269,379,243,600,447,280,421,
435,452,570,676,719,511,826,121,910,145,139,401,960,817,741,190,204,263,128,
011,948,079,407,979,476,285,012,146,665,002,279,155,593,049,853,034,132,519,
029,190,765,556,301,018,983,785,416,439,580,147,779,257,993,861,325,059,807,
803,766,467,232,654,231,448,781,231,090,901,479,924,820,156,182,946,483,496,
596,003,827,478,955,651,187,942,089,159,463,737,641,849,726,949,954,241,619,
568,903,737,619,911,627,975,989,992,240,011,427,490,452,484,156,253,558,538,
987,254,587,283,113,356,067,682,957,912,370,345,991,549,992,160,250,887,128,
615,429,874,915,727,493,169,099,145,474,723,612,061,670,786,973,498,248,810,
719,806,199,565,848,215,511,513,232,968,274,284,582,395,996,088,945,928,922,
112,437,677,017,850,944,830,354,427,949,770,240,009,479,476,194,704,557,886,
494,416,482,736,175,820,123,342,664,163,896,093,537,188,746,093,596,180,650,
669,394,684,692,481,253,991,146,421,702,098,079,533,545,630,366,529,709,321,
516,368,791,456,661,772,023,224,867,123,897,508,060,870,403,138,437,780,639,
734,953,339,295,980,093,193,856,066,491,425,929,111,605,925,353,532,551,108,
467,779,037,464,715,657,479,741,272,704,150,425,665,838,346,214,688,995,766,
570,470,494,663,166,227,830,112,993,410,068,138,452,134,035,698,865,810,539,
217,069,908,529,695,683,887,525,067,918,364,039,905,417,412,627,814,362,425,
132,085,017,034,644,068,268,426,673,876,141,232,512,685,735,312,821,736,212,
226,688,079,647,597,604,651,978,788,504,102,935,394,347,022,759,493,346,308,
595,217,523,807,577,241,755,715,421,443,889,180,399,654,606,303,760,348,773,
083,947,645,920,051,326,155,338,618,560,726,529,285,123,941,986,551,465,605,
508,237,017,083,167,612,957,510,523,657,999,608,448,102,163,734,114,165,845,
614,651,541,192,930,565,418,190,704,094,697,989,751,898,826,911,197,098,748,
723,397,081,522,420,561,310,037,807,313,849,319,628,290,972,816,826,138,150,
264,283,683,823,578,386,306,541,145,193,963,415,943,353,181,668,712,178,546,
123,841,868,914,238,433,543,706,759,133,068,399,002,876,873,592,382,004,517,
773,999,298,771,693,868,156,931,738,569,421,954,441,657,389,474,375,844,774,
098,527,721,612,047,744,969,435,332,501,762,249,354,584,686,486,864,237,263,
335,890,161,366,505,728,009,145,529,390,292,162,264,471,503,035,326,041,492,
731,013,668,291,416,021,973,470,155,873,033,132,561,088,291,050,502,355,221,
954,178,932,593,201,174,930,539,060,142,206,537,694,261,454,629,953,919,370,
695,772,217,898,355,919,575,735,342,678,268,993,395,781,053,816,418,192,139,
811,841,382,316,450,087,231,238,566,194,560,790,371,062,344,035,019,175,756,
849,820,091,585,980,353,032,336,489,013,851,928,313,170,134,297,728,579,815,
847,212,030,826,991,933,609,735,406,633,039,436,657,757,011,273,842,414,881,
896,636,858,850,916,205,806,667,863,017,425,577,640,875,156,425,690,810,397,
610,948,813,124,840,622,731,700,563,652,266,360,032,819,494,838,434,439,356,
405,305,764,557,927,621,296,152,194,319,395,573,946,705,278,641,665,816,182,
624,809,578,578,248,116,235,113,770,705,667,461,776,630,865,323,885,750,982,
491,923,093,971,860,872,798,193,160,746,807,332,263,095,019,005,553,290,978,
784,434,036,816,830,003,910,703,817,341,753,496,555,554,004,561,741,962,752,
790,481,801,874,971,593,653,419,897,769,525,721,231,092,848,711,357,748,090,
470,591,467,875,467,400,922,964,773,520,935,249,543,695,512,278,264,015,002,
630,362,953,010,005,130,156,828,387,722,670,876,287,497,972,484,429,080,659,
498,073,133,847,570,987,180,737,633,315,301,095,843,213,623,057,679,388,307,
764,126,583,174,559,861,773,546,024,485,153,498,699,090,411,945,965,464,964,
262,494,459,478,020,346,063,329,771,222,828,903,707,304,517,027,463,628,252,
148,171,888,753,428,138,479,463,530,064,884,021,329,449,450,772,401,238,398,
577,910,780,774,217,384,740,280,795,105,790,093,086,715,952,489,090,027,875,
751,713,304,498,973,994,208,006,759,185,825,770,646,996,083,237,963,575,508,
628,779,794,550,883,469,840,239,160,160,091,056,516,765,139,961,156,008,830,
204,918,233,955,531,932,949,274,735,033,987,668,526,730,170,056,300,214,939,
324,917,647,138,246,840,847,453,239,150,110,982,053,039,437,040,005,425,203,
790,166,540,391,616,599,004,073,295,607,435,096,501,315,155,899,655,494,755,
832,814,742,898,548,997,389,189,114,700,706,678,466,546,626,823,598,386,636,
639,179,533,185,188,565,592,570,766,442,985,643,229,483,715,483,696,448,993,
537,896,217,118,100,589,548,615,717,247,459,740,504,510,673,957,158,623,409,
359,460,530,187,637,116,797,983,306,728,566,086,065,737,359,235,895,575,648,
193,379,687,416,633,161,769,491,917,042,683,157,748,431,760,795,461,818,615,
402,438,594,230,176,447,971,562,188,336,327,357,720,013,151,154,452,897,089,
790,913,471,496,929,813,963,513,820,253,257,676,465,354,081,639,022,208,333,
961,637,115,145,060,425,022,801,186,797,776,950,431,808,326,423,659,997,166,
071,254,930,867,620,138,138,622,909,510,151,652,298,392,616,226,392,999,120,
371,412,382,354,394,227,924,752,190,918,975,138,795,106,531,264,112,414,060,
054,050,004,888,257,145,734,680,497,473,156,721,218,824,631,850,231,286,192,
449,989,280,825,624,087,073,067,776,011,608,186,017,607,225,203,730,837,710,
593,835,099,551,181,026,122,056,000,810,090,042,843,383,515,450,167,800,260,
088,760,234,696,047,877,586,283,898,006,839,549,089,161,438,423,598,794,517,
164,224,470,454,219,938,480,757,806,071,221,228,750,713,475,699,440,430,419,
727,707,917,138,199,696,549,209,626,726,257,647,114,679,767,186,251,090,192,
207,825,784,455,253,420,764,083,985,814,945,262,417,528,222,250,185,520,863,
215,099,056,562,169,969,927,581,767,730,615,519,468,907,635,284,592,775,114,
076,512,274,454,481,517,934,691,740,251,966,682,606,637,731,823,548,844,047,
324,839,026,520,928,552,652,754,884,746,137,584,067,087,835,929,280,171,931,
654,187,398,844,201,629,999,172,460,465,192,213,173,193,822,504,062,417,629,
900,859,346,084,058,568,787,423,467,290,630,634,294,712,103,537,774,876,858,
928,206,435,837,886,075,589,185,073,204,305,101,378,099,278,155,546,875,594,
301,966,344,347,015,548,315,113,413,582,701,446,695,812,695,922,108,354,062,
113,114,739,702,710,818,703,794,421,285,161,257,380,816,745,824,163,363,425,
980,612,082,668,521,143,384,619,615,495,217,084,243,616,934,974,081,040,521,
000,968,501,216,076,510,140,576,886,384,271,453,667,395,674,033,185,820,454,
119,673,280,955,859,122,427,351,039,339,465,538,996,716,792,881,187,605,308,
201,287,215,876,919,639,003,310,583,952,846,488,418,607,568,996,070,853,279,
850,193,651,066,626,846,894,251,480,771,021,811,281,505,707,351,721,829,880,
023,105,820,874,434,454,656,665,404,064,660,010,884,805,543,237,154,089,166,
471,742,182,592,381,195,726,827,546,228,565,130,524,974,801,869,164,157,897,
253,007,392,839,745,530,763,028,621,869,209,202,837,992,899,016,074,501,243,
398,676,208,468,527,830,722,153,115,326,477,353,697,984,353,347,794,886,182,
255,121,575,673,427,191,145,800,726,340,051,697,905,524,173,925,104,643,858,
631,299,062,597,865,671,311,888,304,583,038,158,543,918,921,891,452,316,345,
319,286,816,577,639,054,576,492,993,192,039,347,758,952,858,620,059,962,646,
340,176,807,126,102,637,244,050,448,679,677,115,361,719,822,392,923,856,939,
567,126,291,728,063,205,123,648,200,212,611,446,023,377,799,875,215,072,342,
414,457,111,109,844,280,463,072,877,750,137,936,966,309,165,570,718,560,626,
690,025,068,163,939,177,046,924,536,862,984,284,352,541,860,444,810,659,880,
142,935,991,398,993,634,018,055,239,243,258,311,512,075,524,008,051,317,762,
031,832,530,565,302,137,402,236,342,504,819,875,450,139,370,211,711,012,538,
658,468,921,082,488,412,393,294,123,750,483,724,945,512,577,703,889,254,391,
523,373,558,740,314,290,844,800,329,486,995,769,531,654,513,672,340,546,018,
679,082,811,933,022,978,411,715,111,197,747,813,263,299,642,803,481,410,003,
293,824,409,742,298,568,373,503,551,386,993,160,664,329,962,440,851,446,581,
721,534,710,782,936,274,333,158,121,721,181,589,096,727,259,509,903,181,590,
069,007,461,664,671,430,033,884,268,292,794,302,846,650,224,516,148,767,511,
581,656,245,200,052,391,766,067,347,847,427,042,802,801,560,048,811,842,295,
915,759,615,659,348,181,416,549,179,730,578,495,640,048,937,491,291,152,962,
531,291,808,547,103,884,288,369,659,045,966,223,708,130,662,343,793,819,714,
072,865,693,355,489,212,966,521,848,942,406,896,275,520,748,798,608,266,439,
798,534,398,910,587,411,273,264,231,103,585,607,938,726,622,738,133,379,735,
977,503,964,683,930,299,941,857,768,291,397,735,594,277,022,507,424,417,464,
838,666,909,951,460,973,255,148,528,099,677,095,942,892,247,136,750,306,483,
410,300,670,273,480,172,742,113,524,954,698,132,830,721,251,118,216,496,147,
581,447,352,667,364,356,054,394,305,741,794,983,823,087,199,913,193,768,470,
225,350,466,194,529,654,406,100,164,750,755,686,838,935,890,311,534,863,654,
603,864,656,815,788,856,667,108,036,964,598,797,151,681,794,951,792,105,450,
516,172,818,352,822,532,001,763,391,009,400,526,152,550,358,578,069,674,473,
203,907,783,925,592,570,348,841,912,255,710,257,438,448,771,140,083,692,069,
667,381,001,824,172,132,298,722,898,879,954,999,866,471,159,100,502,223,140,
964,893,391,563,796,832,984,457,717,403,286,528,880,424,205,710,565,934,574,
521,304,657,297,226,119,975,507,728,837,313,973,990,694,655,414,489,705,418,
815,060,444,051,014,960,280,823,434,443,666,393,727,550,829,105,947,270,117,
466,549,076,418,278,222,651,366,472,243,365,441,875,409,124,598,061,972,706,
333,215,534,671,726,052,749,602,846,620,484,294,822,298,868,763,870,767,448,
945,276,136,011,198,377,227,030,067,101,376,322,927,719,478,811,336,211,930,
427,768,428,941,353,775,385,977,769,378,074,026,222,079,032,684,300,948,733,
267,870,401,690,642,029,857,479,487,899,852,252,499,168,153,000,924,784,465,
699,091,947,995,015,354,054,923,343,388,391,209,896,391,832,082,451,854,605,
111,456,071,349,645,422,423,586,920,824,567,697,103,777,546,434,213,992,124,
137,232,597,013,439,711,124,783,959,721,283,073,217,028,764,456,445,742,366,
631,428,443,311,209,244,110,537,122,710,048,349,337,951,205,853,619,963,420,
798,456,770,336,319,140,659,112,594,338,780,249,542,866,705,520,236,607,638,
115,528,666,452,919,989,702,966,145,248,111,261,542,493,032,172,547,180,561,
281,172,667,424,426,024,381,998,993,823,072,175,504,518,151,047,078,692,479,
248,514,367,995,236,173,572,015,197,826,057,777,042,380,667,445,751,140,685,
623,789,895,916,736,664,222,386,959,913,715,612,020,751,919,823,418,587,371,
375,329,427,320,437,769,292,147,427,294,693,428,095,279,967,011,016,652,334,
801,246,003,038,927,707,289,390,116,376,746,578,201,404,981,431,428,661,557,
525,551,169,610,844,890,765,160,934,789,705,023,577,329,732,120,390,332,680,
585,916,364,016,810,881,415,875,954,129,675,252,959,615,113,987,456,320,945,
467,240,482,689,208,205,920,530,875,746,940,196,354,754,565,697,338,077,310,
813,405,358,294,338,662,272,466,881,383,063,263,782,811,837,672,143,927,027,
908,905,787,521,981,375,502,907,925,452,461,614,642,369,846,446,823,126,486,
590,808,112,996,920,625,123,990,192,627,293,170,822,062,179,978,734,970,245,
681,072,828,980,066,569,133,799,725,745,935,689,427,287,787,759,713,336,870,
042,393,045,556,040,290,147,248,327,865,742,777,395,017,590,940,399,315,776,
289,653,622,719,396,202,015,313,909,918,195,880,652,584,235,585,463,699,433,
691,229,049,427,119,776,531,399,536,682,833,327,178,407,463,141,830,090,867,
151,070,364,929,120,388,450,028,003,500,359,688,075,457,414,651,188,748,690,
603,896,753,833,087,688,217,116,079,760,872,239,386,512,232,147,702,731,755,
560,809,094,120,609,690,251,290,864,474,453,539,457,826,945,369,006,668,376,
583,082,769,155,906,271,507,136,507,090,042,617,450,751,437,149,676,887,794,
327,663,169,327,747,484,977,709,419,104,987,484,165,624,244,837,339,917,884,
724,854,105,988,462,833,225,521,043,740,697,469,093,724,340,415,785,896,054,
405,054,891,573,095,374,381,915,601,892,189,213,914,352,817,959,943,805,644,
247,137,481,659,665,681,448,838,678,054,276,639,670,993,939,732,602,526,036,
108,311,475,557,915,206,457,632,113,877,162,494,926,266,708,080,476,909,093,
489,699,294,273,948,890,713,135,093,428,444,869,285,333,034,539,766,691,068,
275,562,245,457,196,501,545,437,769,295,349,095,869,127,150,275,960,769,124,
798,934,983,972,453,200,083,527,860,748,744,218,383,776,553,947,966,001,657,
025,177,093,691,925,358,654,613,780,746,279,288,666,294,120,486,669,210,483,
601,903,874,714,442,964,483,634,213,262,059,669,652,650,122,170,156,520,339,
688,506,813,122,026,442,119,544,359,219,825,262,156,285,077,082,219,434,428,
471,743,197,375,412,947,119,125,226,238,591,375,792,378,038,872,252,350,953,
483,992,074,539,031,651,062,706,729,756,973,077,035,215,630,461,621,980,415,
123,182,684,363,460,990,822,452,486,955,879,512,224,086,019,912,069,300,719,
629,321,420,848,697,536,167,750,749,814,470,202,407,017,021,858,582,110,432,
864,271,547,140,251,890,773,181,788,060,570,766,288,305,543,298,956,790,618,
190,735,941,319,976,690,365,814,542,211,065,420,906,465,013,028,083,009,432,
870,118,710,915,783,607,882,227,381,806,268,178,896,922,378,069,553,117,693,
485,234,660,046,154,224,284,534,730,435,008,691,127,636,060,702,853,163,859,
117,647,795,530,201,733,024,566,285,938,607,492,246,229,926,105,636,583,574,
385,336,355,634,772,678,646,870,157,273,066,349,917,668,642,956,544,624,135,
822,976,264,893,242,407,926,455,489,017,002,677,549,948,451,990,822,047,929,
092,949,269,655,155,604,446,582,661,806,242,947,260,584,143,492,226,959,122,
253,199,239,896,169,507,981,469,211,313,881,142,006,130,994,667,562,486,143,
004,158,042,565,896,723,236,779,168,671,071,517,498,504,058,727,003,837,577,
966,518,910,570,861,333,397,430,400,255,062,951,983,654,038,575,384,037,881,
337,917,456,633,753,437,931,588,632,994,698,895,332,891,246,545,833,519,428,
629,607,829,886,150,455,651,408,690,383,025,810,643,585,624,557,693,291,837,
908,232,440,882,025,383,042,632,211,127,911,530,906,058,179,819,453,324,722,
207,167,367,352,178,581,551,257,932,652,044,624,355,604,466,925,208,313,442,
989,798,516,762,706,042,118,104,394,191,937,665,344,685,146,339,322,792,432,
586,084,430,231,715,657,099,807,814,510,719,006,884,541,174,180,229,454,973,
495,215,002,236,781,854,293,314,681,996,088,317,640,398,856,299,031,706,988,
177,143,621,887,840,307,030,153,830,372,617,653,319,595,460,587,449,803,142,
185,024,831,763,772,589,070,881,235,098,022,010,312,439,013,740,065,124,147,
882,888,895,992,361,374,410,397,488,227,252,598,603,492,765,368,975,553,918,
181,341,359,474,957,395,111,044,999,207,700,269,516,051,306,479,230,061,959,
896,512,217,480,765,381,283,178,989,363,768,890,477,940,419,235,933,386,876,
023,856,102,751,042,357,908,230,272,288,117,945,152,708,500,635,475,775,065,
180,033,975,825,142,539,953,626,037,954,377,305,673,887,800,820,721,354,185,
203,854,974,313,330,069,105,712,370,669,004,964,814,550,588,598,421,295,499,
475,691,188,202,877,027,844,518,317,407,690,640,786,695,618,709,050,834,067,
126,147,144,261,673,936,292,250,939,641,693,459,214,508,594,098,948,834,494,
910,057,716,883,709,189,973,648,904,588,454,498,593,189,652,127,608,429,329,
576,002,795,049,366,555,247,113,325,209,383,845,827,944,047,130,314,911,055,
937,458,098,206,295,289,690,554,534,407,452,517,447,248,877,428,012,196,061,
449,888,252,795,937,852,316,851,720,377,151,702,951,074,781,904,110,539,797,
431,049,058,964,040,047,175,948,113,790,250,596,867,476,931,151,986,419,183,
173,267,258,082,791,453,417,957,387,756,137,196,852,480,420,037,322,752,091,
159,952,820,201,558,547,451,062,832,515,754,603,884,721,793,044,101,260,825,
308,453,312,631,826,684,612,480,279,429,470,911,392,378,158,212,581,055,546,
568,983,567,985,383,354,087,910,657,823,849,452,136,540,646,466,797,395,131,
274,252,738,961,970,819,362,613,588,203,499,737,373,682,881,806,770,668,048,
037,275,906,918,884,276,465,039,994,971,456,295,663,237,721,596,539,748,686,
164,001,348,242,204,052,387,168,556,099,132,598,310,123,298,925,279,220,675,
398,447,274,686,775,210,071,503,797,111,930,027,209,403,549,098,194,664,480,
998,093,300,272,359,065,476,063,298,826,769,767,427,752,522,432,557,881,914,
405,107,164,586,632,465,187,663,740,093,909,336,144,943,299,771,410,248,398,
562,595,303,123,547,486,491,047,886,958,590,057,761,701,780,168,276,236,993,
584,226,435,226,302,173,805,373,251,783,362,864,439,809,031,532,590,336,141,
038,785,218,806,461,881,931,650,183,680,832,465,642,516,943,604,579,134,508,
480,537,414,515,627,139,715,719,111,653,318,007,561,364,393,411,497,092,209,
225,645,719,249,371,509,920,318,890,603,167,907,321,682,393,049,335,988,380,
162,204,990,564,575,248,709,679,844,121,930,758,907,881,798,886,435,159,057,
094,236,206,933,369,139,183,403,344,498,779,567,916,405,572,832,146,951,292,
821,082,038,510,550,631,101,455,246,766,130,857,975,037,781,822,401,764,651,
962,189,475,867,248,999,588,975,302,898,285,055,352,444,558,741,910,279,617,
869,768,340,270,110,731,323,383,727,097,376,708,006,659,708,229,103,786,440,
977,324,372,213,032,942,961,785,152,277,227,251,078,920,667,463,209,552,635,
644,337,415,326,009,339,830,078,064,419,767,272,235,284,468,320,775,942,264,
589,389,693,693,893,839,227,459,004,150,867,348,867,376,946,698,811,950,848,
738,008,621,649,822,579,292,104,030,735,998,829,056,367,809,681,164,586,652,
235,658,012,126,966,609,332,948,327,300,665,160,053,487,271,963,913,569,945,
283,712,362,753,299,967,661,298,215,443,443,471,739,393,647,496,151,398,577,
619,983,396,570,142,428,679,331,905,728,522,277,683,059,194,706,516,812,557,
470,349,469,697,133,844,789,652,729,186,332,614,721,593,083,899,648,429,987,
482,067,660,977,674,828,716,606,479,606,952,675,411,605,981,473,994,668,237,
684,931,490,193,300,144,167,938,676,776,433,244,604,967,378,473,724,052,323,
489,863,375,951,579,165,540,257,414,483,485,696,306,109,406,373,079,400,909,
263,936,794,989,483,161,335,614,516,344,422,972,590,262,344,198,735,588,983,
294,604,571,826,809,910,488,780,683,440,958,745,494,188,405,205,234,593,427,
957,382,422,180,021,244,988,849,548,539,405,274,997,061,893,905,272,039,862,
259,750,689,383,287,367,399,239,986,469,831,751,743,214,254,768,255,107,423,
598,803,525,156,135,693,283,020,108,931,591,319,030,082,452,514,101,664,951,
255,670,170,303,892,805,430,511,769,134,207,207,885,958,939,532,463,994,488,
918,516,640,029,904,853,164,926,713,958,205,117,621,423,140,787,761,671,230,
258,084,081,578,324,795,150,082,282,253,087,770,892,850,430,076,040,398,438,
209,021,826,530,392,404,741,419,412,194,996,396,753,177,051,038,956,835,034,
792,940,418,559,922,565,350,311,639,368,300,679,574,516,277,105,185,821,777,
971,354,138,979,365,464,913,592,099,293,315,053,969,805,070,133,064,469,030,
161,076,862,357,977,378,212,602,442,981,438,195,616,474,978,758,953,602,078,
685,065,563,490,817,031,712,982,634,600,099,218,687,083,559,820,753,567,404,
897,633,320,942,455,357,433,112,875,953,342,918,908,618,521,503,080,993,027,
937,458,855,482,058,755,346,714,461,730,007,146,870,196,270,815,630,794,044,
581,885,905,093,256,764,491,062,126,209,724,883,548,027,112,744,366,458,883,
685,678,199,172,354,026,135,409,746,609,284,151,487,953,463,921,025,397,463,
251,977,381,725,046,585,756,126,618,962,579,931,373,682,368,422,300,364,170,
216,724,233,167,514,270,998,210,889,254,329,461,417,778,801,258,296,334,811,
541,443,433,703,796,720,154,374,419,572,098,639,400,433,467,558,986,239,329,
671,372,529,629,382,978,195,747,680,111,486,793,440,498,570,216,243,365,156,
759,087,977,340,058,743,238,150,270,033,650,284,003,562,889,192,944,842,515,
146,114,253,244,916,570,360,559,407,865,005,057,615,482,005,873,633,216,752,
582,424,625,476,108,552,904,170,344,937,091,357,501,030,991,180,427,922,226,
966,693,242,236,930,003,499,978,722,333,902,573,300,997,931,293,497,251,007,
464,057,950,068,978,343,554,041,877,916,251,084,996,272,356,500,027,283,860,
379,871,137,319,257,751,467,318,087,112,733,612,203,434,260,523,679,325,411,
454,394,899,441,309,266,109,234,710,997,618,037,696,646,403,817,867,862,658,
100,794,025,104,274,036,052,079,564,888,760,461,232,220,615,552,032,163,619,
598,985,112,251,601,573,748,783,930,407,781,671,243,605,474,760,697,218,396,
126,289,955,542,510,778,692,816,006,513,055,574,884,489,199,847,321,250,528,
739,291,979,263,115,543,907,856,855,656,614,130,309,223,959,462,091,241,381,
976,209,022,652,788,792,354,480,394,665,373,849,269,481,148,936,424,965,439,
001,496,195,499,650,051,356,158,412,416,045,543,030,330,769,533,227,497,113,
956,275,776,670,622,545,033,622,597,655,914,885,755,958,644,403,203,889,495,
187,404,549,010,627,095,770,351,980,784,123,211,152,419,878,855,638,605,459,
234,019,673,252,334,490,908,085,679,246,004,358,150,893,363,901,199,801,333,
146,263,280,047,616,745,169,344,108,739,345,987,859,601,363,810,393,509,833,
711,019,880,504,305,935,415,938,644,880,119,810,073,324,984,055,113,112,760,
617,446,693,681,675,221,871,774,198,335,041,205,080,780,949,204,985,304,111,
082,635,147,526,475,462,305,252,382,679,692,008,976,277,603,215,155,566,613,
470,061,875,127,665,995,960,899,399,782,532,595,532,919,463,973,150,592,610,
803,864,765,930,014,249,606,495,675,315,652,421,259,806,877,671,471,136,767,
344,713,388,581,189,457,508,337,687,163,133,486,298,330,739,769,578,222,241,
075,068,361,963,814,054,286,351,200,200,641,342,714,989,949,827,563,763,171,
260,012,369,397,991,647,107,641,499,187,676,963,466,977,787,111,616,774,575,
427,492,820,874,760,091,887,459,233,088,990,345,497,307,887,501,487,055,230,
059,810,585,476,738,245,660,144,285,426,378,995,845,362,471,087,244,918,650,
159,437,285,119,266,872,291,158,327,621,316,238,062,386,001,313,622,505,128,
186,689,333,852,977,080,919,105,171,148,917,072,229,145,535,920,831,571,387,
278,503,971,073,208,307,431,458,753,631,563,516,965,743,774,800,403,010,693,
455,872,955,975,430,715,142,520,879,108,319,575,509,892,239,854,263,124,304,
914,779,578,293,749,919,977,301,042,965,266,709,002,291,908,578,226,824,798,
658,452,334,665,049,900,819,011,898,284,852,631,130,594,457,916,077,835,497,
261,112,402,292,076,990,525,254,534,557,117,692,913,621,213,604,874,695,547,
592,396,885,601,285,319,566,310,563,265,287,450,922,428,476,373,439,317,580,
366,133,793,516,144,520,141,140,797,906,851,949,940,881,666,322,964,673,987,
212,821,118,270,764,256,292,992,349,131,042,938,533,585,572,891,838,516,805,
529,899,959,781,097,286,664,610,795,270,701,072,915,466,174,046,900,929,275,
793,689,706,625,928,549,936,312,972,722,174,545,129,519,263,057,774,521,146,
861,624,654,304,699,237,659,924,168,532,958,871,358,923,117,730,036,051,469,
286,918,803,442,848,537,357,409,806,231,566,442,198,006,110,256,199,265,359,
866,848,173,614,000,923,508,869,465,551,976,567,893,970,899,618,119,267,915,
632,069,747,994,667,611,558,509,805,734,531,225,519,934,652,501,508,952,127,
508,914,964,134,541,475,061,523,177,939,657,426,344,538,897,555,454,729,884,
513,420,889,164,787,484,679,189,349,009,170,716,976,498,173,830,819,219,578,
884,484,890,177,849,163,619,394,758,851,253,174,545,421,949,713,676,351,309,
122,007,322,918,202,021,407,354,032,216,672,727,952,159,603,533,148,645,879,
622,791,376,782,995,953,342,445,184,776,003,719,571,058,130,407,609,773,543,
106,709,301,758,622,063,442,843,046,498,756,967,897,100,533,513,385,069,581,
343,082,676,407,666,662,926,840,846,747,712,469,792,808,800,327,887,244,480,
101,346,859,051,936,630,101,603,303,019,065,871,085,124,285,985,238,601,113,
760,428,868,044,177,686,444,692,292,714,867,267,506,513,935,652,138,012,888,
702,699,369,908,489,916,495,506,321,840,943,060,184,202,465,235,800,927,721,
399,449,843,078,324,032,196,756,279,480,641,115,123,390,987,781,663,080,109,
585,047,521,743,876,860,188,876,831,203,894,728,122,277,597,771,120,020,837,
497,920,118,618,661,761,315,487,094,275,036,355,466,082,351,193,679,333,429,
911,799,640,981,588,413,025,180,561,720,951,541,093,244,191,457,659,748,510,
099,101,452,835,501,165,463,513,830,129,254,497,634,896,004,956,308,072,577,
806,361,507,873,682,200,357,154,880,868,468,535,357,964,240,836,390,662,015,
567,496,488,060,302,415,135,919,753,956,164,201,279,301,169,390,799,455,758,
847,606,876,673,079,018,470,745,187,901,430,483,474,360,480,701,544,136,016,
186,577,158,799,716,442,829,295,241,428,465,436,804,382,023,585,772,113,822,
612,463,843,522,914,435,085,778,352,937,222,303,930,891,219,796,646,104,376,
797,302,844,360,944,743,045,261,807,506,594,356,703,726,364,182,131,546,458,
809,989,310,923,925,518,088,442,772,481,240,447,756,310,308,882,754,099,334,
393,018,167,066,259,134,505,158,985,062,099,403,946,909,474,826,003,950,171,
774,150,922,057,398,963,935,582,474,536,943,446,953,446,637,907,104,250,897,
246,051,190,011,376,672,421,774,464,065,792,925,429,920,640,129,752,598,869,
680,608,955,686,920,399,765,791,167,551,723,940,427,358,544,348,051,137,356,
525,525,145,290,619,986,796,983,636,007,838,159,203,648,171,437,799,031,813,
480,556,090,120,903,400,331,111,101,364,143,219,006,456,087,206,763,474,188,
612,326,423,648,975,646,124,311,275,157,121,851,541,943,400,470,972,017,067,
117,523,620,516,657,245,238,953,645,307,384,464,467,317,502,754,541,186,530,
484,328,120,671,613,967,538,351,590,099,185,083,495,131,901,693,850,269,540,
768,916,218,164,200,773,359,829,450,040,152,846,155,942,332,793,094,840,959,
437,669,316,942,243,029,107,464,748,838,145,802,074,995,273,243,535,828,815,
278,297,688,557,455,122,727,128,769,473,122,042,197,657,847,333,143,902,494,
334,266,480,090,809,355,321,517,396,636,003,244,504,467,494,558,128,921,655,
496,294,762,704,865,552,740,180,725,805,475,575,777,819,669,603,404,682,494,
701,619,757,070,051,983,865,840,270,421,525,881,483,120,498,345,475,629,164,
132,179,349,503,493,236,675,605,899,326,922,485,810,641,456,646,917,174,808,
125,511,292,966,698,830,515,110,135,230,312,015,751,659,945,384,909,132,616,
009,835,640,392,061,823,364,300,423,644,052,039,784,526,225,658,452,255,356,
576,962,064,958,456,584,038,283,260,757,410,767,962,448,983,802,171,242,859,
537,618,997,765,911,338,165,077,954,082,183,534,274,066,204,354,111,488,324,
488,954,440,820,600,952,744,164,761,685,961,244,780,226,820,810,834,929,047,
980,074,775,802,656,368,936,438,172,575,928,139,975,231,887,641,593,510,011,
302,110,873,130,437,142,543,943,325,633,023,056,798,682,475,624,011,019,827,
190,507,973,200,809,586,215,323,311,516,059,431,975,700,030,670,799,435,711,
410,475,913,364,252,685,958,534,687,003,453,258,948,064,645,703,272,851,143,
005,632,629,214,520,664,529,279,120,810,728,762,000,206,192,772,466,101,350,
876,481,094,561,650,298,127,836,408,613,075,539,189,499,091,830,256,242,127,
304,493,888,522,398,348,842,253,948,289,562,033,267,667,901,678,736,811,761,
104,198,713,347,709,379,980,212,113,912,537,754,733,211,457,401,745,468,420,
852,753,036,048,138,900,691,746,598,161,136,925,642,299,818,967,787,622,070,
380,081,239,293,007,171,258,282,494,949,607,555,680,978,590,267,614,738,337,
765,765,133,479,410,780,355,115,631,969,376,176,794,736,165,803,240,423,900,
474,745,849,868,118,932,396,704,743,598,833,534,373,079,822,249,228,068,176,
778,340,706,301,058,113,438,509,015,781,457,563,088,757,424,168,590,985,063,
927,374,722,405,122,246,385,185,701,319,242,243,960,916,657,169,575,364,880,
186,278,993,720,816,252,570,300,948,007,903,774,248,080,251,877,126,106,429,
838,680,712,885,261,733,485,015,365,749,585,138,903,492,392,907,866,143,415,
417,955,317,865,029,127,772,169,232,091,903,868,724,581,998,970,297,413,574,
700,298,816,156,279,429,014,544,889,680,349,772,464,038,677,875,649,968,331,
376,772,721,782,912,910,287,798,512,695,092,457,318,579,400,931,756,203,635,
127,143,847,636,182,639,177,435,552,060,941,626,717,710,391,684,244,095,492,
567,040,345,010,398,798,410,106,019,816,558,489,989,673,317,662,711,427,031,
494,798,280,716,835,107,901,338,878,050,383,330,735,397,074,230,360,806,967,
828,445,840,562,466,733,934,701,671,242,790,699,822,339,246,815,005,366,303,
051,219,383,963,213,917,913,294,184,567,081,232,213,017,252,984,227,791,776,
516,523,097,715,940,280,826,638,214,433,036,001,131,489,193,035,209,614,462,
075,606,327,544,526,058,572,037,759,677,606,370,577,680,593,722,780,146,189,
093,780,923,698,710,555,550,662,257,308,368,291,034,684,333,619,915,222,549,
453,353,933,268,210,855,801,946,003,673,515,193,346,763,847,872,266,800,591,
723,830,913,862,492,206,280,228,249,839,109,419,769,353,640,448,291,859,456,
555,113,106,631,723,043,319,827,038,897,210,816,672,373,108,144,648,942,308,
324,114,076,663,525,613,767,259,814,361,855,648,615,796,618,386,529,522,082,
272,685,213,277,745,462,286,050,261,584,186,926,528,276,373,539,995,418,344,
793,987,576,349,211,648,794,483,375,857,924,870,168,172,277,470,339,573,011,
971,200,744,263,081,521,255,339,186,217,609,032,158,673,522,305,867,197,543,
519,523,586,628,278,827,091,592,542,192,266,033,916,526,975,026,963,561,942,
411,513,927,148,202,804,830,014,162,765,031,284,905,470,081,300,544,811,815,
256,537,961,018,849,461,740,051,736,819,724,571,132,451,597,033,228,830,736,
430,344,906,086,267,040,510,889,773,104,713,922,201,239,011,198,011,736,507,
580,312,648,242,426,619,835,170,521,271,609,382,955,405,277,803,430,263,995,
740,296,773,891,853,835,014,542,483,214,420,440,208,171,953,925,944,531,075,
698,455,649,180,070,509,848,200,207,286,905,407,073,922,979,395,033,622,553,
646,938,991,482,244,921,350,567,238,969,406,278,257,542,730,537,967,718,311,
321,447,961,496,006,594,680,043,395,954,819,950,553,363,638,982,329,053,734,
692,520,604,080,626,794,649,729,068,952,928,438,494,724,831,514,437,960,601,
686,358,330,487,570,421,468,835,493,078,719,536,323,428,062,436,305,011,237,
883,003,198,664,663,385,793,352,658,413,638,508,300,896,351,887,950,964,807,
229,028,655,519,976,824,250,946,665,843,661,351,932,146,817,908,241,470,655,
820,485,281,141,529,052,040,433,817,090,449,188,367,521,796,924,969,646,583,
244,010,924,755,284,227,032,596,149,867,028,152,083,517,214,135,040,238,837,
980,263,029,794,915,119,679,906,670,350,356,092,719,953,009,171,315,608,092,
879,555,288,168,100,883,412,443,102,272,257,047,229,307,744,283,077,036,166,
245,617,027,464,615,336,199,736,263,584,450,391,129,972,042,033,257,193,906,
677,704,364,566,553,966,616,594,486,344,643,205,701,369,667,914,933,300,316,
879,041,309,221,657,213,463,012,739,364,875,593,994,808,681,925,448,699,167,
626,161,351,893,347,742,384,841,118,175,287,973,356,757,927,461,822,198,043,
897,101,608,534,305,200,683,240,773,191,644,733,930,792,534,040,259,645,359,
692,479,934,378,615,286,095,009,365,176,725,778,083,029,724,807,878,340,562,
657,635,120,521,782,421,255,849,065,524,650,754,048,389,061,372,435,894,559,
200,520,628,554,226,972,634,080,660,816,043,437,510,128,604,093,964,184,448,
993,695,625,924,980,094,395,091,577,116,905,700,774,782,346,462,898,589,717,
405,371,939,202,476,696,816,013,313,747,729,454,096,996,584,899,466,502,550,
780,253,212,937,634,736,657,770,441,442,312,173,409,847,878,791,615,678,847,
352,840,330,782,490,911,228,787,595,092,117,188,197,717,988,414,735,781,137,
286,803,216,508,240,397,003,745,495,349,284,499,414,060,644,574,188,241,110,
748,800,356,135,063,417,446,180,357,741,294,329,604,349,573,254,123,674,180,
312,198,441,151,967,938,367,992,973,172,458,599,023,642,133,018,035,807,427,
179,009,926,650,427,392,183,506,666,252,477,972,423,850,155,679,302,478,411,
809,108,896,684,155,656,951,428,586,612,182,660,587,495,372,784,372,628,377,
648,031,582,913,589,799,308,927,522,993,907,337,352,863,612,416,234,034,909,
940,457,536,407,531,275,106,334,814,255,421,414,148,019,954,853,874,703,850,
198,129,597,517,898,869,428,077,419,199,664,979,502,553,083,824,420,627,499,
828,270,161,881,287,338,714,385,548,347,082,020,718,680,007,026,754,695,363,
982,283,343,733,286,508,552,772,806,603,486,053,275,760,424,713,202,010,844,
202,615,308,356,292,361,215,204,967,429,530,744,388,777,545,631,305,849,515,
325,044,734,902,967,449,573,401,342,329,157,977,839,126,818,536,768,185,815,
395,069,296,658,137,527,984,256,433,133,758,791,337,350,900,497,551,875,550,
302,238,909,322,958,048,294,773,752,913,898,612,741,652,952,210,044,136,905,
676,813,709,415,935,885,582,530,625,899,050,543,132,529,919,500,849,089,486,
724,441,351,687,147,374,190,119,210,477,032,051,681,479,683,936,442,736,788,
179,682,729,987,450,650,271,054,342,764,288,591,786,751,121,713,640,961,733,
498,743,891,064,574,374,570,306,021,152,820,707,033,425,377,387,034,243,705,
049,923,738,683,182,578,457,306,865,748,997,578,351,422,944,912,240,804,007,
459,038,455,649,729,736,430,968,866,780,632,688,513,006,759,639,239,709,696,
913,375,745,885,813,483,679,961,802,836,121,601,094,809,239,765,841,520,981,
888,274,772,493,736,580,838,496,192,539,841,584,368,991,724,311,956,953,664,
504,315,965,499,813,030,353,463,644,270,334,643,890,352,811,713,980,232,261,
092,799,406,818,628,478,471,653,140,422,781,458,368,997,313,280,982,566,253,
394,201,219,236,192,355,835,552,868,085,457,228,175,546,591,387,242,350,254,
389,016,931,360,559,450,985,048,008,078,781,163,754,399,371,955,345,788,464,
573,284,686,652,370,527,357,286,879,559,817,805,077,342,252,563,741,344,810,
083,453,701,879,293,108,112,239,347,788,112,872,320,274,540,777,689,771,007,
305,915,781,279,018,067,204,935,593,816,371,311,664,310,376,769,155,934,694,
786,398,896,017,351,495,503,634,444,715,828,011,494,958,316,208,631,782,507,
774,990,950,010,322,472,796,096,646,022,980,283,451,457,444,052,653,284,903,
207,256,303,145,617,590,670,050,401,085,221,904,309,752,997,306,740,578,844,
522,737,290,741,103,498,909,197,341,679,682,684,398,262,163,119,986,306,163,
825,479,952,217,304,595,740,088,377,277,192,107,133,161,757,437,611,130,739,
614,894,286,667,401,540,637,466,116,478,008,240,072,255,363,011,218,708,695,
819,858,190,505,934,845,833,267,145,301,657,201,319,972,735,433,424,018,968,
407,055,935,563,848,604,887,856,685,604,339,278,136,234,299,674,262,397,260,
898,765,470,893,360,958,768,145,678,775,803,026,847,494,619,474,934,226,558,
922,723,654,497,695,469,881,241,925,305,528,917,539,168,959,569,768,758,139,
155,784,804,579,827,313,848,120,347,301,854,592,497,990,026,643,274,983,155,
851,238,428,680,014,156,360,179,152,553,440,146,773,641,511,949,912,023,217,
577,441,452,536,371,377,051,172,807,113,781,094,309,354,591,505,450,265,775,
029,526,796,195,305,934,634,883,355,487,172,256,888,373,612,194,246,237,102,
231,097,215,679,651,930,013,236,703,109,254,953,659,221,263,354,575,731,609,
678,987,329,818,846,133,250,581,766,838,707,281,385,954,417,022,925,921,103,
654,390,259,086,884,440,882,778,652,490,301,267,603,005,706,147,819,627,515,
382,040,210,029,701,256,505,695,012,308,125,856,949,655,291,957,857,398,570,
882,676,617,250,061,650,875,016,379,285,682,662,097,639,564,345,002,337,465,
818,699,659,616,963,850,876,444,161,638,102,488,045,038,326,605,543,498,110,
280,270,187,490,142,939,415,288,714,689,249,083,695,880,918,152,801,470,531,
073,379,445,703,068,901,285,124,643,744,433,863,813,068,988,399,453,212,851,
195,600,363,739,623,566,855,595,766,796,909,442,809,788,063,141,163,571,403,
598,712,518,077,980,200,447,339,579,682,824,722,647,563,678,598,280,357,660,
318,077,005,277,740,331,857,611,894,501,234,873,751,134,042,896,172,960,695,
365,815,033,457,419,778,689,598,189,976,873,344,383,495,722,349,987,902,301,
918,954,211,928,792,224,850,162,051,461,980,732,785,531,977,059,801,081,414,
401,664,949,356,306,548,988,223,059,800,651,213,567,384,084,471,082,574,975,
148,654,138,339,988,883,916,927,673,784,397,614,242,591,709,312,467,931,420,
740,349,999,123,110,729,045,256,817,969,729,536,248,878,834,510,050,959,090,
712,136,121,370,124,855,762,669,770,125,684,010,046,564,502,973,271,552,696,
905,695,847,918,150,493,755,792,201,605,025,408,278,669,786,880,846,605,760,
810,624,114,034,903,332,469,963,197,579,786,004,795,960,003,657,501,939,381,
701,344,741,466,143,837,403,274,835,198,908,819,548,245,859,395,918,172,973,
852,986,669,073,041,811,518,605,393,443,137,126,735,341,473,411,551,818,256,
013,296,738,284,014,398,469,087,043,405,667,171,589,449,278,878,711,942,844,
812,251,171,272,052,352,423,283,428,427,749,659,338,366,252,431,318,077,703,
983,282,214,015,306,490,267,142,490,778,653,891,338,335,568,251,277,287,591,
178,213,135,501,813,553,372,918,026,544,679,826,938,520,370,451,150,516,340,
867,519,871,827,504,764,029,161,580,925,930,617,966,650,929,828,350,277,446,
415,325,612,611,779,401,063,567,522,442,082,804,380,454,338,405,090,992,588,
327,698,934,463,497,327,722,481,803,816,248,263,096,572,337,515,614,552,218,
829,701,900,867,197,642,490,568,174,121,577,967,204,812,360,210,708,795,620,
196,037,049,864,653,145,596,749,026,028,915,536,810,286,984,085,102,850,998,
086,394,795,241,546,688,342,636,450,721,595,735,328,971,673,029,230,516,258,
584,812,479,734,927,444,900,355,444,424,573,309,043,285,333,850,212,517,085,
092,939,310,960,103,711,553,468,169,584,161,650,231,692,675,159,848,632,100,
400,683,984,298,391,983,799,900,111,341,065,946,535,240,320,136,382,773,457,
148,343,774,215,478,618,200,232,456,450,850,098,368,941,948,883,171,554,022,
243,932,721,595,784,135,940,770,458,176,437,329,818,137,820,773,675,803,258,
219,155,330,998,126,547,490,631,587,174,260,486,704,651,443,299,876,016,812,
991,824,011,432,145,834,177,588,472,004,615,492,004,245,694,882,650,286,516,
732,708,150,104,266,124,318,838,075,867,629,462,108,854,136,701,101,063,864,
039,510,012,739,098,364,823,613,460,064,786,427,494,917,861,669,189,510,231,
538,397,487,476,753,136,252,107,362,486,126,430,791,136,989,118,731,662,555,
015,504,000,628,286,081,071,876,226,009,877,268,273,128,003,153,081,722,011,
420,205,722,753,758,514,293,048,853,727,536,300,095,553,229,691,580,731,688,
957,452,199,318,251,472,387,227,638,601,564,655,631,714,639,740,236,737,609,
622,167,755,429,549,558,145,712,898,699,769,465,884,513,193,610,638,615,069,
809,219,795,946,972,733,688,343,905,123,343,616,321,838,992,238,087,750,691,
669,082,680,393,252,754,476,678,292,980,767,532,191,154,117,120,555,768,932,
385,104,233,682,288,499,377,586,240,835,532,257,959,282,047,946,893,014,134,
281,690,951,155,210,132,698,775,812,150,158,990,598,464,522,181,912,750,307,
088,042,143,447,030,574,395,226,183,764,280,488,493,484,631,535,334,975,785,
259,179,311,154,254,848,969,090,110,386,963,746,442,138,890,503,508,134,062,
112,289,515,989,324,768,709,287,046,454,191,831,564,352,766,608,315,292,067,
995,552,551,464,655,189,922,795,641,123,834,621,651,851,034,714,449,761,603,
875,106,608,661,089,343,789,870,960,037,980,498,911,115,612,160,148,390,757,
726,949,432,154,474,489,101,438,469,301,167,333,176,474,377,200,712,470,907,
291,999,909,871,610,796,797,672,286,744,014,881,566,963,548,660,828,074,893,
171,412,061,855,330,054,734,304,777,630,263,603,107,469,522,045,986,852,825,
087,217,943,815,156,802,296,188,605,923,540,206,247,467,006,079,013,239,054,
314,448,854,358,075,868,957,578,616,965,285,385,471,412,969,387,104,847,424,
687,547,674,134,789,606,212,773,333,620,041,312,452,497,158,957,676,571,823,
401,043,065,218,776,013,379,704,044,090,936,845,319,142,915,247,353,741,386,
859,321,077,046,293,788,472,248,034,493,565,536,253,366,484,297,420,634,300,
599,693,835,789,109,277,959,250,508,678,903,470,056,878,761,178,102,396,931,
871,500,925,889,033,745,433,314,162,793,948,804,971,113,702,643,491,594,215,
956,704,650,547,788,194,777,932,014,578,547,735,126,404,813,432,270,774,702,
755,334,997,104,442,733,538,333,803,944,572,510,300,785,259,091,684,270,441,
928,319,541,837,713,759,924,089,949,239,525,350,505,409,551,161,428,786,935,
603,306,985,176,028,058,675,827,753,878,665,469,009,017,370,785,129,534,339,
618,638,466,806,912,022,478,712,617,190,989,686,847,519,109,631,822,175,569,
485,295,692,109,201,500,870,672,797,779,560,543,604,148,061,494,841,924,356,
308,620,385,480,386,112,438,768,002,622,975,361,187,964,426,834,473,702,331,
037,835,048,315,469,474,041,353,754,381,717,390,318,475,588,791,055,577,150,
829,784,379,563,515,899,114,130,895,042,121,973,979,340,464,421,817,933,465,
139,304,700,926,946,829,082,666,438,459,539,452,143,296,067,173,162,928,123,
939,923,272,493,479,390,102,905,396,972,350,982,232,691,085,225,459,615,338,
268,650,560,583,022,071,248,287,801,945,163,201,872,696,367,169,014,112,648,
545,637,748,172,368,837,686,098,457,661,559,604,392,436,753,176,474,873,935,
602,010,517,632,648,000,047,819,790,899,380,433,788,773,589,667,254,726,650,
635,615,689,443,595,794,940,344,662,678,667,268,148,095,177,907,844,671,244,
734,191,642,018,359,826,895,434,417,035,215,691,325,372,630,214,306,770,125,
029,778,891,523,364,575,779,157,035,645,466,897,525,330,330,922,463,956,352,
256,106,916,742,013,753,235,940,684,198,295,319,691,521,204,352,215,737,825,
161,110,072,397,628,945,177,638,874,715,683,628,890,534,482,299,271,487,128,
902,653,001,521,351,298,329,133,088,101,101,184,362,800,418,321,220,418,593,
685,495,311,529,532,229,011,247,323,964,123,708,852,150,648,022,631,353,519,
804,786,164,407,566,644,367,527,256,706,601,048,675,475,511,937,055,576,746,
669,356,076,803,034,334,112,395,389,264,203,260,374,190,563,390,385,274,362,
168,443,612,275,230,433,551,866,189,449,169,650,527,507,875,670,874,122,309,
368,814,580,737,277,143,764,061,845,404,408,340,015,986,259,947,211,951,134,
024,362,842,031,450,754,659,447,253,985,394,333,507,518,993,977,512,717,444,
301,274,353,201,815,443,388,626,652,382,431,196,900,547,583,273,885,100,856,
710,739,085,760,076,353,806,520,075,596,185,581,090,170,496,417,799,391,965,
801,868,848,703,798,902,576,585,114,218,115,739,388,677,322,244,622,928,539,
597,506,624,892,982,076,561,838,832,943,110,719,063,853,512,906,249,580,089,
875,070,013,840,521,595,072,024,906,508,927,468,576,051,036,952,794,260,656,
025,090,435,204,258,152,613,378,275,958,861,369,617,164,936,832,440,634,662,
222,343,718,563,639,458,433,018,977,695,329,790,455,911,977,654,013,793,397,
417,517,020,373,230,172,996,869,431,480,150,737,644,771,183,931,104,293,067,
667,709,879,421,417,701,922,327,021,454,906,076,898,899,271,408,015,460,238,
195,880,443,282,325,779,088,585,397,584,615,623,650,521,807,727,493,599,117,
400,726,568,426,173,576,138,304,651,085,343,783,818,614,301,232,420,552,618,
627,892,780,450,877,254,949,781,014,881,016,878,839,347,763,722,746,310,955,
910,925,485,541,642,602,655,668,902,357,320,391,894,899,554,187,966,654,471,
701,763,163,451,852,185,946,595,964,903,464,226,639,820,986,902,603,128,563,
110,148,171,437,218,336,533,415,425,895,349,893,017,469,922,505,521,498,373,
279,386,038,917,849,176,195,661,189,128,857,539,888,547,967,071,428,947,341,
974,859,179,596,935,236,397,519,387,392,138,626,164,457,424,746,554,163,155,
786,181,870,155,457,899,374,122,322,650,098,710,173,738,139,620,740,722,448,
434,180,856,501,125,085,414,695,618,694,045,710,349,369,537,935,979,439,211,
029,169,327,490,169,697,889,338,093,114,259,919,898,885,001,879,208,295,315,
910,451,089,234,952,661,467,379,559,890,030,086,041,894,759,554,850,330,753,
670,374,437,141,821,229,537,631,694,541,954,293,329,402,168,147,762,884,473,
986,134,092,589,913,146,083,033,477,169,927,483,369,838,422,018,025,479,254,
476,181,024,675,135,720,114,759,949,748,634,235,028,103,772,595,598,286,445,
702,147,623,115,842,390,296,325,611,600,388,727,472,169,618,657,654,836,673,
342,052,946,840,702,839,504,768,633,198,726,145,635,846,197,427,334,331,589,
134,464,357,318,265,601,932,600,313,558,641,403,936,143,939,830,696,532,530,
672,555,280,765,608,515,447,353,170,533,902,201,537,669,818,317,896,459,258,
812,837,286,113,625,485,156,267,536,675,382,128,719,103,109,779,874,049,811,
660,843,256,971,762,417,476,202,200,473,276,606,032,561,618,638,499,859,763,
645,973,383,782,068,785,565,361,665,180,896,784,385,571,660,175,864,161,990,
747,113,468,140,457,281,371,892,031,331,128,537,853,844,718,958,269,675,371,
150,512,797,327,307,389,662,997,885,892,539,417,592,196,179,070,214,019,431,
243,108,936,013,978,898,155,471,086,810,261,131,449,052,561,459,992,022,013,
474,980,983,953,858,894,455,978,988,437,222,535,474,264,962,749,216,881,761,
450,356,248,556,676,242,970,947,838,703,454,430,956,419,643,607,347,954,391,
875,645,188,713,455,590,391,969,229,459,453,602,750,240,445,166,269,564,248,
864,634,081,716,897,494,322,712,470,330,981,053,818,546,372,131,402,179,850,
499,975,093,493,657,777,742,225,297,198,941,560,105,074,552,284,276,510,214,
729,572,634,265,303,821,943,809,691,478,197,265,326,756,887,409,777,234,510,
949,679,829,856,333,013,203,195,415,658,819,903,509,632,825,815,015,879,311,
132,973,578,585,885,513,249,828,515,584,896,863,593,933,557,928,963,086,796,
030,439,941,260,287,562,415,506,213,225,618,634,466,368,638,620,023,215,186,
189,098,404,583,192,135,776,459,350,077,393,766,355,503,921,614,600,924,270,
331,825,991,447,117,965,540,537,329,824,542,688,897,132,845,183,423,090,377,
679,089,049,371,568,133,821,073,260,461,248,507,279,335,449,927,376,769,359,
837,966,889,216,735,608,570,470,493,492,321,411,090,913,804,222,591,523,718,
216,261,752,308,582,927,990,548,256,763,108,860,315,224,628,173,563,968,795,
491,215,630,030,231,760,901,119,507,782,414,024,044,939,985,903,699,909,181,
810,666,299,724,477,870,225,861,603,824,268,848,275,465,041,540,148,199,246,
270,833,065,395,264,224,919,568,107,133,090,240,785,014,014,993,270,191,488,
628,101,667,767,647,882,068,985,046,931,385,039,898,311,154,607,153,942,507,
706,465,876,975,873,854,338,785,060,635,065,824,409,564,690,100,101,489,298,
711,480,301,940,154,290,980,107,602,579,253,343,129,151,436,984,725,115,974,
371,803,601,031,802,706,287,859,757,384,067,605,267,349,829,723,208,104,548,
293,070,210,189,563,917,487,838,249,272,553,591,673,223,312,061,765,823,155,
111,364,248,449,416,659,523,483,375,504,096,890,231,415,791,271,735,023,093,
652,276,862,655,465,138,253,371,576,819,231,716,510,897,268,806,127,086,779,
119,314,323,203,112,959,958,825,963,174,436,069,791,564,265,054,439,705,429,
039,741,482,867,101,378,047,417,760,164,706,413,565,281,093,987,255,553,243,
684,671,425,223,392,276,289,527,508,956,897,906,667,155,186,618,198,704,424,
872,123,627,676,700,808,510,512,194,264,404,298,463,854,554,720,402,670,579,
103,312,353,638,337,899,258,929,881,836,520,738,204,520,137,853,374,579,115,
701,686,507,567,463,104,450,781,016,770,277,745,697,757,089,876,563,146,743,
807,709,569,506,332,397,463,298,295,322,546,903,779,259,357,141,467,984,453,
400,577,376,688,715,409,588,111,799,256,903,086,702,956,528,076,246,845,697,
712,995,629,870,384,127,649,158,006,542,548,244,693,171,080,718,538,527,867,
336,168,525,740,963,661,700,645,879,820,664,998,387,031,162,278,901,611,862,
550,397,018,637,906,848,979,042,341,297,679,971,807,634,217,946,474,452,109,
533,767,054,391,333,405,664,290,225,017,437,035,748,733,859,667,639,406,855,
490,571,007,645,382,247,864,224,598,734,574,378,520,578,333,940,033,160,906,
257,318,685,527,873,813,265,057,363,020,810,934,786,615,065,252,086,305,486,
144,076,671,767,493,214,780,325,909,903,574,758,474,218,838,907,121,355,539,
039,208,423,792,564,554,708,330,480,719,885,686,957,691,616,686,805,657,292,
628,018,812,511,228,114,619,224,442,615,630,224,387,579,951,758,868,416,497,
544,692,662,020,359,301,895,394,092,475,610,480,915,298,780,653,444,228,025,
831,700,639,250,198,832,423,991,079,157,421,564,482,316,071,911,363,587,737,
673,107,731,840,472,254,102,851,315,696,547,247,902,232,538,210,676,881,786,
992,271,654,134,438,648,698,444,158,527,894,910,597,766,955,667,967,821,528,
119,414,081,384,816,363,505,516,621,468,218,673,268,939,936,099,501,789,186,
565,303,924,828,635,779,841,554,870,032,616,614,864,285,456,799,186,034,772,
839,541,942,147,322,054,697,765,580,052,948,762,523,395,408,505,037,031,655,
159,732,836,939,055,857,089,426,592,478,425,836,844,171,694,678,993,627,479,
244,703,129,014,323,195,536,178,261,542,395,821,110,153,540,727,288,452,509,
014,643,594,279,699,829,060,838,921,998,943,016,878,404,224,841,278,344,420,
218,026,543,296,872,147,021,182,119,745,060,329,401,016,162,125,459,837,448,
873,648,188,280,963,613,474,526,280,532,084,670,115,633,188,987,943,082,214,
985,675,791,394,571,483,245,968,201,896,989,377,550,832,342,966,315,745,087,
386,345,239,747,096,132,812,429,842,776,702,004,550,120,291,982,427,247,554,
941,825,286,052,070,405,778,494,086,057,086,628,721,281,253,209,858,692,192,
494,731,209,116,270,557,116,762,927,459,877,276,589,532,075,063,017,173,052,
418,522,946,253,938,803,425,597,556,985,212,892,138,631,702,328,165,409,424,
149,663,196,336,685,812,769,273,704,338,797,124,009,405,063,387,520,599,762,
185,434,481,368,150,220,347,616,987,865,834,593,293,509,851,405,153,843,053,
076,402,334,263,160,533,933,278,336,262,096,923,132,583,728,953,167,547,044,
055,820,615,902,352,517,027,119,820,319,653,331,549,196,215,079,970,167,904,
026,607,167,555,715,938,664,612,094,974,382,008,471,608,299,820,276,286,358,
580,422,348,665,072,663,759,547,410,996,682,074,646,189,026,173,127,453,597,
990,932,279,336,377,423,462,931,893,896,029,427,176,384,077,947,007,503,611,
563,835,472,987,071,825,429,735,515,580,815,696,168,537,895,994,218,446,573,
233,077,989,923,514,647,033,556,034,529,876,160,704,910,916,636,944,181,830,
707,218,371,088,843,194,221,889,438,654,620,879,099,304,868,734,328,092,643,
387,160,898,792,523,328,711,602,116,921,152,473,106,807,879,184,242,826,486,
162,555,367,163,144,497,354,020,299,900,713,478,661,677,153,627,954,988,618,
169,688,587,028,653,976,969,799,600,284,098,234,768,688,521,366,665,065,016,
134,765,161,749,199,938,018,682,678,075,219,713,649,866,094,606,375,819,102,
602,661,174,979,755,340,925,814,489,439,560,866,129,846,583,856,810,564,407,
920,711,532,846,829,909,254,112,853,794,713,579,108,197,133,796,689,089,584,
768,856,178,411,328,607,977,117,227,239,523,348,451,109,771,189,665,577,165,
404,598,015,010,932,687,853,528,002,905,740,034,006,584,003,212,929,483,933,
625,553,229,513,645,217,060,778,087,591,369,133,110,381,899,277,092,467,018,
718,798,447,788,200,699,105,408,864,006,899,942,336,750,685,065,600,361,975,
578,898,547,557,859,895,515,376,683,268,579,143,501,127,109,582,460,025,348,
141,851,565,503,086,088,802,741,699,341,912,062,229,936,345,884,123,979,504,
300,751,805,357,698,424,265,654,387,309,691,060,380,694,099,316,338,876,041,
923,152,766,737,309,024,872,424,808,823,898,525,306,146,305,377,235,418,667,
852,717,581,349,717,609,620,497,149,844,490,524,278,488,441,698,551,378,260,
062,056,813,520,305,186,187,196,820,831,877,575,195,551,237,323,153,924,653,
829,358,020,130,822,201,161,935,492,747,218,747,935,980,081,223,397,382,837,
784,905,874,678,615,991,142,867,149,552,276,972,017,086,875,138,573,883,304,
251,951,280,249,872,459,370,170,718,940,112,644,749,390,233,015,583,206,467,
053,934,231,069,380,180,003,353,771,310,795,859,886,079,606,093,179,024,084,
062,010,116,678,898,084,170,584,293,967,129,982,261,227,325,298,211,549,058,
151,528,133,002,162,413,833,330,309,852,380,482,964,429,686,850,724,978,865,
315,861,200,433,598,942,618,345,481,068,728,732,470,869,835,001,600,751,640,
045,990,218,910,997,093,124,710,411,273,435,669,641,702,922,962,192,599,379,
843,069,924,816,657,128,964,882,765,665,156,442,254,114,875,464,395,694,590,
706,386,651,514,629,879,198,019,914,606,907,592,761,269,372,019,031,684,762,
193,561,379,297,893,096,627,750,739,077,970,181,181,848,638,902,341,635,941,
617,572,733,125,767,764,218,906,029,886,118,516,797,394,043,971,284,706,783,
571,359,481,427,538,448,757,428,264,031,552,927,161,085,623,180,135,118,743,
324,608,559,316,754,893,262,270,584,723,181,797,500,003,668,489,586,350,235,
114,295,283,340,421,645,341,792,032,919,310,228,898,969,056,812,495,924,039,
537,998,700,875,451,505,727,749,131,859,020,143,267,804,926,609,834,801,579,
735,079,935,474,417,842,409,968,013,596,266,085,154,769,442,046,946,916,647,
909,720,673,049,293,492,803,694,938,443,294,366,306,051,320,746,054,132,753,
365,794,848,697,934,352,577,997,651,367,336,126,335,878,039,876,514,756,609,
273,622,821,927,424,165,329,622,340,004,061,285,132,781,085,473,065,894,432,
835,730,623,429,559,037,408,094,033,331,859,243,520,068,339,156,429,849,204,
230,647,090,565,575,604,072,528,393,672,470,545,074,576,057,584,122,191,210,
147,710,398,822,598,333,426,175,829,765,920,167,801,635,429,874,565,250,851,
568,892,762,074,409,653,997,402,349,202,406,343,744,241,391,494,200,067,506,
499,767,471,809,880,704,303,208,532,235,745,471,448,066,610,905,358,586,002,
310,390,025,020,084,925,873,825,697,994,915,962,612,161,539,745,938,081,636,
377,204,953,983,428,401,323,752,386,679,688,663,196,993,581,061,766,806,321,
434,870,634,742,750,219,803,964,035,798,301,425,413,318,523,554,444,949,348,
503,986,915,246,655,768,355,874,976,211,044,316,782,471,180,179,678,479,252,
748,261,098,232,974,974,278,203,443,599,758,695,416,849,245,257,460,483,661,
989,187,794,185,329,123,012,870,233,099,279,910,644,933,359,490,230,270,121,
011,307,719,995,537,096,724,133,072,526,888,988,288,322,745,309,942,567,833,
905,692,454,306,844,754,796,111,537,816,341,994,846,405,588,928,751,672,622,
648,516,834,579,319,957,528,233,521,035,055,138,106,343,963,593,050,199,786,
971,522,333,874,907,538,178,704,575,958,400,686,353,530,208,546,048,557,118,
683,794,464,803,926,102,687,425,566,888,256,676,301,007,599,688,856,589,206,
301,890,170,067,750,451,476,671,383,565,604,468,930,910,545,202,104,491,308,
802,146,541,483,694,459,369,465,018,780,773,842,597,035,096,941,384,909,040,
800,897,498,198,530,946,623,595,249,377,511,028,790,534,562,797,376,898,843,
761,363,693,447,534,602,996,967,918,001,246,178,442,439,896,745,886,553,273,
616,248,675,325,864,705,147,482,564,879,930,463,018,777,725,390,379,580,370,
498,484,277,385,503,148,338,485,453,382,967,320,428,294,567,421,966,253,715,
917,249,356,331,279,244,237,727,472,293,123,323,363,203,053,554,089,281,623,
818,540,946,000,548,189,911,764,912,402,752,958,306,837,691,220,543,401,919,
367,700,174,600,633,991,316,675,055,329,898,276,697,150,295,157,090,797,148,
512,335,814,115,888,021,921,847,969,044,261,492,789,372,650,389,661,649,774,
544,983,735,305,867,294,148,352,979,429,822,993,834,847,079,906,034,348,607,
705,769,983,942,583,463,045,835,140,764,428,358,917,358,314,261,874,148,670,
756,147,618,336,339,706,411,751,441,328,799,579,055,385,080,148,282,651,384,
191,509,727,186,083,350,750,959,257,880,319,802,379,544,137,596,688,570,501,
165,405,426,418,546,191,038,316,571,291,678,348,320,902,567,063,384,171,817,
547,726,635,855,846,371,852,297,835,952,924,729,111,960,697,352,028,732,669,
049,193,732,265,784,969,591,401,794,880,942,214,221,290,816,204,198,665,725,
011,277,777,407,884,296,481,451,022,539,606,250,353,179,122,617,791,396,808,
076,187,969,080,788,018,443,580,631,284,919,371,449,928,264,885,344,938,200,
567,767,817,335,977,020,631,387,515,795,973,340,937,972,427,501,328,453,851,
983,000,789,694,318,829,880,908,950,916,944,681,461,219,126,793,046,696,277,
204,622,506,545,625,870,691,609,454,176,650,059,118,529,679,398,625,754,067,
110,256,304,417,823,318,583,786,101,341,827,828,121,369,756,633,027,132,423,
960,094,949,576,074,268,611,902,683,397,634,933,319,488,829,162,417,250,361,
741,176,466,432,463,074,258,278,672,252,990,574,706,793,666,438,119,266,498,
780,762,672,160,240,319,781,485,449,253,276,592,439,476,568,887,942,912,787,
597,579,651,280,721,523,516,263,341,634,623,037,358,215,238,956,229,234,533,
333,536,845,794,412,228,383,043,108,720,255,993,502,110,463,914,725,460,739,
571,331,090,772,138,024,844,496,900,764,289,644,380,525,933,040,506,614,890,
839,136,097,641,749,377,877,375,034,854,202,282,313,993,187,538,001,586,466,
393,494,708,072,760,409,966,152,561,227,433,923,378,945,677,347,704,425,524,
914,204,283,553,680,898,997,335,683,903,264,666,922,516,357,095,612,874,087,
975,448,377,687,320,597,806,787,466,320,696,074,464,754,263,628,599,727,167,
365,252,170,259,104,948,174,975,077,646,711,230,878,733,987,978,393,852,344,
061,598,700,695,979,568,519,716,733,203,407,336,616,857,845,690,763,543,348,
235,340,948,015,583,436,462,249,069,974,265,428,364,380,200,196,775,975,616,
249,369,707,697,107,828,577,654,817,824,468,949,325,297,932,471,614,188,281,
882,346,445,366,271,965,584,095,098,503,657,630,313,918,068,497,363,288,370,
383,464,385,331,937,450,667,638,244,848,113,754,729,641,528,484,260,154,948,
479,973,839,103,503,486,682,111,922,337,536,704,173,751,946,324,366,021,237,
079,347,901,406,074,462,000,220,294,849,220,273,198,075,108,965,383,095,418,
800,688,071,859,703,565,202,987,806,259,650,505,410,362,327,884,516,656,262,
395,740,230,907,865,920,592,660,131,058,935,173,876,100,819,743,785,028,961,
530,216,861,724,956,285,280,379,605,423,483,502,654,156,268,426,830,545,962,
018,076,354,597,438,131,867,173,489,593,116,854,118,309,850,324,991,705,703,
799,494,570,289,074,910,889,347,569,083,999,049,134,270,508,936,984,241,969,
264,162,587,252,078,887,647,991,125,477,899,632,455,913,043,307,531,427,868,
770,087,717,312,834,495,953,774,907,897,342,628,856,389,682,166,525,616,464,
258,218,171,635,638,974,490,950,691,310,604,762,615,021,911,547,452,201,363,
888,135,566,604,974,649,089,846,865,418,515,395,556,522,346,392,409,688,143,
365,179,944,835,538,548,033,152,576,601,060,867,423,857,953,835,882,005,247,
023,185,825,739,500,852,852,687,027,053,895,358,837,519,653,395,029,820,195,
922,455,210,289,823,654,680,005,926,231,791,457,862,191,445,311,259,712,466,
914,663,477,726,929,343,473,253,687,410,930,288,730,129,978,411,226,930,061,
033,520,641,163,636,455,455,509,805,359,328,578,655,027,342,171,115,257,004,
996,234,661,901,144,523,630,048,211,068,613,489,552,650,143,433,443,474,334,
933,839,449,546,249,205,784,530,285,707,328,835,862,386,306,458,174,432,673,
815,318,991,957,078,016,952,544,568,665,367,882,333,416,213,322,259,169,446,
272,391,177,391,156,423,498,871,172,374,326,397,997,022,929,083,130,869,208,
926,386,403,136,507,427,166,395,215,076,598,554,218,576,002,878,625,686,421,
622,884,542,298,131,983,696,885,754,220,589,186,331,345,425,045,102,905,242,
895,949,103,865,650,255,794,362,476,958,508,064,901,615,765,928,340,382,876,
270,319,005,787,846,216,012,392,814,776,768,163,890,071,485,098,948,790,330,
359,047,013,582,948,764,678,376,467,823,119,206,897,447,267,990,382,142,977,
894,616,105,855,820,849,977,642,202,351,754,825,487,829,744,540,381,734,826,
505,616,248,570,827,910,578,504,180,259,112,641,441,689,322,223,043,381,381,
051,085,043,462,707,768,580,387,323,769,147,434,215,347,171,919,015,246,477,
052,714,532,143,851,234,408,760,619,484,455,061,058,951,211,529,784,089,898,
717,911,633,858,574,382,042,929,832,462,659,951,616,490,498,100,556,886,717,
485,091,306,916,626,826,518,111,177,037,105,101,565,553,582,785,530,009,019,
980,420,238,480,700,565,697,304,432,635,498,341,848,014,005,020,468,573,831,
206,789,385,919,212,019,453,063,050,930,543,150,575,196,171,648,707,487,060,
999,687,030,821,693,203,662,026,654,814,995,782,084,940,092,663,491,784,925,
880,262,111,801,627,137,393,841,677,848,328,524,400,812,342,381,034,920,313,
878,393,648,342,842,039,801,904,148,355,915,886,654,270,986,425,894,501,112,
161,521,040,341,326,739,581,581,206,375,614,320,912,927,012,690,497,308,709,
500,757,943,317,091,673,093,500,995,116,162,575,071,841,448,191,724,812,504,
547,379,009,092,688,419,783,027,730,679,460,666,933,150,595,505,613,917,200,
944,479,366,350,233,150,039,305,602,912,448,206,855,387,489,469,010,025,200,
394,420,086,227,192,194,620,074,304,628,989,362,870,189,996,098,280,167,100,
469,312,837,875,886,430,701,489,189,360,934,564,288,267,730,366,501,482,992,
721,420,178,226,090,889,309,499,590,566,377,916,285,171,142,372,015,625,862,
822,174,954,082,517,682,059,117,604,296,740,570,906,864,632,299,687,299,983,
555,157,562,055,144,827,548,894,749,345,073,112,638,512,789,408,474,308,510,
893,569,207,441,706,309,149,537,277,345,128,382,911,141,761,076,108,983,371,
556,102,330,842,796,859,784,831,027,640,038,203,918,078,327,099,272,882,300,
667,295,707,911,267,223,459,183,355,586,335,623,776,292,590,482,284,526,019,
276,781,485,584,230,327,679,191,591,342,086,822,123,422,480,969,122,173,694,
354,893,422,389,591,436,108,194,770,789,341,194,975,374,780,591,390,352,938,
298,969,375,541,154,928,279,569,564,382,821,245,340,624,252,064,687,473,723,
555,296,529,027,146,586,945,775,193,715,295,270,096,112,474,513,235,799,796,
136,387,314,861,827,304,499,498,182,847,621,402,061,130,647,759,730,314,821,
860,987,551,768,095,619,652,822,169,431,820,668,626,746,629,444,635,876,713,
293,067,076,366,116,106,878,784,494,493,624,706,337,919,810,730,361,494,644,
052,816,220,638,373,143,438,053,101,212,850,990,588,862,279,478,940,700,775,
451,192,047,638,904,783,707,649,796,702,512,936,089,082,615,724,977,490,161,
170,618,903,602,157,722,516,330,544,864,315,440,063,747,821,589,960,578,783,
878,872,176,608,253,723,479,575,405,423,810,686,316,794,399,512,674,643,099,
622,886,763,814,654,249,331,570,646,271,253,890,525,669,339,331,849,129,899,
215,137,653,168,041,868,145,782,346,807,021,763,276,036,792,109,221,297,467,
788,637,592,922,086,238,660,605,226,669,654,281,672,831,396,989,937,951,654,
329,621,123,017,877,486,542,539,505,888,327,275,869,547,120,260,520,930,008,
698,268,597,007,890,486,924,230,427,016,738,867,634,161,682,194,670,475,290,
294,654,469,500,746,980,084,499,882,227,721,872,176,770,990,596,192,533,323,
423,115,230,376,934,757,514,079,736,865,654,187,545,335,325,463,662,317,868,
228,413,246,327,362,356,986,518,633,983,853,582,796,107,719,436,383,871,839,
033,578,060,787,324,073,114,017,155,082,704,480,594,910,987,717,823,980,372,
175,098,626,765,592,233,761,298,975,068,346,341,939,817,581,746,185,120,316,
331,293,967,926,361,582,155,068,970,227,464,751,835,618,438,897,242,261,355,
675,856,907,229,019,109,807,383,972,654,874,957,076,039,997,799,458,002,554,
182,762,573,900,522,267,255,116,213,839,031,185,697,602,471,687,833,592,935,
676,450,080,487,410,928,027,109,647,706,706,904,917,585,077,315,866,242,361,
195,714,277,692,170,571,533,635,733,426,213,489,602,557,441,905,734,192,910,
816,170,270,595,708,920,498,963,289,213,686,800,780,436,900,802,750,212,021,
255,792,589,422,043,821,472,759,462,210,474,959,271,422,749,163,804,210,489,
509,002,448,234,460,502,158,430,972,723,746,543,148,773,181,405,612,949,172,
990,346,390,026,672,230,361,431,102,316,820,330,035,086,100,080,086,851,555,
341,708,650,729,361,301,406,838,335,863,491,214,650,893,434,210,895,744,013,
452,255,560,980,157,250,253,523,306,972,415,518,477,740,983,411,553,646,516,
526,359,964,422,603,895,646,049,725,143,848,381,626,864,189,967,667,663,538,
081,074,146,340,779,043,844,834,044,999,969,845,321,337,094,310,018,404,208,
052,761,018,746,088,264,256,282,207,162,163,908,747,104,993,463,966,673,685,
812,032,410,981,080,784,203,794,467,459,474,384,763,656,514,637,654,629,330,
709,480,041,343,999,809,453,445,190,139,680,572,447,287,462,417,640,544,617,
615,932,011,073,163,363,568,355,632,503,685,741,424,723,692,144,282,476,971,
558,507,977,374,686,290,329,043,503,686,210,886,520,602,682,695,240,062,225,
761,239,815,619,274,603,948,637,632,672,897,696,433,352,323,032,639,311,623,
459,564,268,620,415,433,954,941,759,597,645,840,955,498,159,398,860,799,160,
586,829,497,713,784,440,300,238,716,028,179,607,968,587,275,287,936,701,329,
434,792,150,669,783,120,533,491,379,173,860,839,599,799,491,979,126,460,448,
257,574,501,302,546,580,634,013,972,684,112,567,142,808,313,952,246,853,569,
797,594,047,873,749,194,604,646,643,310,580,528,207,551,116,610,444,511,580,
150,811,812,971,771,585,110,447,663,105,995,549,972,963,297,564,720,286,096,
591,206,240,024,069,071,330,608,933,712,313,867,533,613,897,564,077,073,884,
915,285,851,647,518,038,316,072,728,781,989,765,169,856,444,988,637,813,662,
205,533,371,696,135,504,457,413,402,252,744,265,151,078,217,767,631,024,895,
058,276,771,614,584,372,327,677,102,147,521,604,914,126,109,576,087,817,740,
146,956,577,534,075,818,468,263,690,561,527,027,443,128,954,308,996,658,420,
179,637,073,387,863,373,986,167,028,905,923,360,929,798,625,029,243,300,284,
250,979,865,499,085,804,077,777,172,857,240,384,821,365,662,707,733,818,271,
774,114,891,579,311,420,840,936,348,449,839,799,020,842,058,304,663,349,411,
133,774,508,785,289,393,103,726,156,529,335,281,594,787,303,758,859,442,224,
210,380,243,996,557,283,688,368,532,427,086,156,211,541,652,528,313,915,941,
113,388,663,322,846,610,907,920,423,400,585,958,142,440,510,199,569,622,874,
996,233,103,504,606,137,828,047,112,353,570,352,583,551,994,439,174,306,475,
072,759,341,472,196,293,884,910,133,291,960,977,716,143,172,816,256,131,264,
456,001,185,625,628,703,417,411,744,345,808,884,192,400,404,604,092,233,400,
419,042,840,410,788,029,443,413,674,448,185,261,110,850,088,733,387,582,415,
904,805,418,729,338,098,748,150,441,989,514,620,318,906,396,570,409,105,516,
114,781,276,333,211,642,417,133,801,491,879,812,487,511,429,842,252,412,973,
363,964,181,584,292,113,556,951,547,385,842,010,227,636,599,665,930,999,359,
793,414,780,790,024,640,303,909,126,636,484,438,113,193,861,298,251,995,110,
477,472,956,951,478,312,739,516,241,644,222,680,235,130,974,742,689,973,273,
746,138,914,571,442,193,037,370,298,524,927,360,518,357,541,356,721,144,127,
859,131,672,740,736,953,086,614,684,920,098,134,418,572,579,192,543,432,092,
394,345,701,611,687,427,273,647,109,533,982,580,695,910,203,949,925,635,601,
251,875,969,589,641,785,265,010,135,959,666,912,739,160,801,980,289,742,280,
671,285,771,922,349,801,191,176,817,632,052,581,491,974,557,444,845,480,153,
294,071,405,338,532,429,824,182,320,421,599,275,796,371,117,292,880,330,829,
795,316,449,729,908,207,182,730,761,607,817,420,070,671,926,426,538,434,701,
508,572,831,817,504,386,251,702,176,868,046,800,185,785,694,610,090,474,442,
834,244,749,994,143,108,016,716,946,662,554,413,036,186,910,028,502,613,396,
220,929,126,805,708,703,059,301,357,080,107,769,895,946,519,747,223,123,577,
252,462,052,002,441,707,527,340,398,444,310,052,562,311,062,504,024,592,235,
259,365,410,473,230,503,129,141,839,047,849,174,783,076,325,814,955,697,418,
941,467,021,464,955,610,958,992,694,899,345,249,382,379,401,291,257,223,672,
010,898,495,620,361,082,054,204,766,495,309,237,224,434,038,997,966,442,146,
922,003,848,771,156,986,649,594,294,127,979,444,316,823,339,108,026,073,630,
583,297,598,954,735,123,520,227,072,554,433,051,920,388,184,536,793,039,581,
104,256,222,414,047,234,181,765,506,410,186,610,087,565,953,129,931,283,405,
580,648,146,668,601,846,670,450,313,359,199,961,196,749,685,799,917,053,983,
968,449,124,470,606,669,659,229,682,721,324,572,424,103,111,958,203,107,208,
692,057,103,130,567,636,972,528,684,301,897,106,036,730,973,350,375,096,657,
603,480,436,062,380,471,432,013,129,465,931,275,236,839,683,457,948,378,228,
619,598,355,536,719,038,976,837,909,408,314,125,147,308,554,772,602,931,855,
885,436,188,407,916,869,769,953,363,391,663,160,981,609,540,800,590,365,992,
145,537,078,735,255,596,668,344,099,524,819,795,724,904,109,586,757,882,055,
601,998,487,500,914,195,099,104,122,253,640,124,782,899,160,512,970,857,010,
820,719,748,283,999,924,084,528,229,462,211,795,909,943,404,075,449,724,315,
685,891,983,854,380,089,674,458,532,139,693,825,986,296,818,572,477,097,088,
239,437,128,209,870,334,562,198,518,993,583,597,416,864,180,710,849,238,289,
910,851,544,010,863,449,542,055,201,428,208,160,647,149,633,839,254,449,192,
067,444,883,296,475,427,752,519,495,214,333,455,933,008,414,834,754,287,978,
851,691,735,335,991,314,271,412,195,753,460,530,202,573,603,219,173,813,272,
095,009,599,309,267,065,294,306,722,838,330,804,572,743,807,660,732,922,827,
522,557,207,893,535,556,576,604,240,014,839,858,591,073,279,474,832,790,699,
388,160,279,213,887,536,671,858,368,933,693,622,533,194,218,402,679,578,173,
139,632,171,841,109,554,549,697,320,039,419,807,047,582,859,054,180,986,474,
905,745,842,037,285,282,233,466,702,237,354,601,930,863,571,704,080,626,157,
377,201,025,823,131,782,679,212,137,462,613,539,321,454,614,780,470,106,418,
007,502,809,051,782,116,972,799,359,274,245,500,019,243,036,380,439,908,986,
521,584,576,889,444,104,162,115,161,861,449,404,920,707,263,264,027,831,208,
219,027,004,663,895,116,526,477,921,641,335,935,735,341,655,642,682,264,880,
853,463,444,573,014,886,168,134,348,770,386,241,162,878,938,615,896,749,359,
611,476,670,337,319,484,598,384,454,059,238,557,861,204,805,178,994,713,479,
161,084,747,846,698,833,267,232,939,561,930,833,729,835,534,853,965,910,826,
371,013,298,092,487,985,119,619,021,841,101,283,249,394,663,848,344,901,599,
556,688,811,473,089,044,746,732,248,140,773,482,325,049,871,990,510,417,900,
110,904,330,084,180,862,579,582,437,693,896,184,459,279,897,300,811,033,725,
013,655,691,567,260,638,296,911,470,548,109,557,835,102,517,748,824,873,276,
884,022,671,278,584,546,443,169,962,610,158,739,088,452,906,679,133,929,190,
091,611,282,586,256,877,350,974,111,755,613,717,934,415,415,976,210,709,978,
590,420,854,006,145,222,830,447,443,682,991,886,052,345,714,418,397,908,409,
545,302,059,794,786,519,358,736,237,651,014,521,805,608,458,456,920,840,888,
903,532,212,300,391,052,159,423,012,026,064,788,057,744,917,029,311,649,558,
481,518,518,115,953,539,387,087,320,543,297,937,730,904,983,791,001,713,885,
037,948,210,258,022,021,716,352,629,650,578,878,742,057,213,394,881,925,478,
535,519,915,337,609,814,855,966,139,924,040,551,861,666,063,818,819,116,687,
071,463,108,244,818,962,404,756,410,136,819,243,863,605,806,892,680,900,240,
013,674,857,121,732,335,025,496,917,167,540,493,348,057,362,921,618,436,673,
338,251,961,557,838,178,093,446,404,513,051,433,547,410,905,072,509,742,460,
847,837,050,119,447,002,088,367,171,172,627,138,630,403,327,055,123,981,819,
538,978,393,104,153,063,060,942,436,044,679,384,457,851,905,585,836,502,825,
153,566,483,091,662,400,827,919,817,872,122,545,764,419,836,218,803,036,636,
491,301,732,857,155,668,971,193,591,914,304,987,679,471,150,426,390,059,773,
851,812,398,254,556,193,377,843,210,878,491,213,208,929,662,101,092,058,155,
164,414,837,422,194,592,186,104,700,303,827,441,868,546,475,784,442,816,091,
932,249,446,857,331,903,348,730,983,765,801,078,259,597,750,998,644,849,750,
489,366,041,314,105,961,911,264,057,483,520,483,261,193,070,551,300,118,591,
494,216,287,067,244,959,471,325,878,342,940,804,573,575,053,089,385,439,001,
672,518,577,552,553,874,076,334,107,172,115,921,921,735,721,020,911,283,180,
532,940,696,486,625,344,566,549,083,030,079,828,126,344,404,913,797,763,305,
574,350,004,902,067,449,443,191,501,229,577,577,463,017,057,079,239,678,328,
435,595,618,417,358,523,023,923,247,585,530,907,702,520,869,588,206,670,192,
673,276,430,735,930,784,467,850,359,914,800,444,832,747,468,434,441,953,896,
600,381,361,934,760,309,986,532,592,292,795,638,552,735,863,159,668,028,033,
415,702,537,641,309,438,285,645,187,155,536,553,610,451,330,830,558,854,010,
763,668,269,933,395,489,061,259,465,180,199,656,823,208,423,975,145,009,402,
438,731,745,164,170,879,838,134,342,491,127,959,163,955,400,623,309,441,836,
731,298,984,507,894,792,134,258,313,097,468,084,872,907,886,493,416,664,136,
858,454,555,037,711,476,188,431,345,693,018,333,442,857,847,092,878,030,623,
358,928,682,194,838,313,574,144,331,999,747,957,111,136,619,399,049,210,867,
906,732,754,182,219,090,986,005,441,647,444,361,684,772,680,295,951,216,697,
658,646,163,923,310,113,662,244,409,276,053,147,140,412,655,156,299,554,131,
015,005,850,712,697,375,276,331,821,164,245,110,983,167,786,280,177,750,601,
226,167,138,601,617,181,463,551,476,523,791,890,579,714,397,076,907,330,767,
597,526,363,591,972,654,806,932,737,965,972,624,593,960,946,961,904,759,106,
034,961,162,917,163,481,093,711,607,428,317,618,893,934,770,942,652,134,420,
387,868,154,469,863,668,430,138,343,868,782,409,938,098,522,641,784,760,682,
467,031,416,356,131,111,454,388,254,097,824,247,736,504,605,271,039,089,593,
345,395,039,753,956,288,855,197,610,434,646,913,652,490,646,439,296,704,652,
162,274,838,964,549,529,204,703,584,170,586,119,255,754,066,317,761,547,326,
181,431,268,085,949,958,730,795,408,259,434,452,334,762,999,404,023,372,313,
526,942,300,259,287,604,454,201,936,099,999,830,621,017,301,975,173,836,630,
618,782,935,284,739,548,319,221,242,641,189,000,641,498,044,746,493,940,436,
210,847,908,535,759,919,070,499,685,034,895,736,507,943,864,390,297,912,787,
732,913,109,738,323,800,642,197,472,005,576,241,303,992,363,111,567,760,176,
622,403,835,268,625,705,613,137,072,330,642,792,861,654,535,224,409,670,645,
786,132,022,056,333,077,700,567,014,675,718,518,726,773,701,889,282,114,039,
423,703,835,207,896,176,553,325,969,470,028,436,035,011,160,696,978,267,848,
068,312,464,830,879,111,505,531,677,296,381,915,159,145,704,135,733,343,807,
340,662,001,090,450,536,923,406,860,804,173,026,389,006,211,600,957,296,982,
676,229,247,305,617,301,586,456,924,036,178,194,307,515,258,575,120,730,425,
356,440,838,938,838,222,125,335,704,421,138,661,294,505,429,284,011,077,143,
013,938,683,657,356,316,577,898,146,386,985,294,959,548,875,163,902,191,670,
636,699,646,694,464,458,327,771,855,584,160,454,607,766,343,995,468,284,739,
150,921,368,128,700,948,624,269,270,005,835,606,866,800,678,791,671,461,487,
996,166,328,694,091,191,306,479,276,912,324,416,717,637,201,372,871,682,815,
407,646,606,414,732,817,486,507,371,794,038,088,110,317,035,355,586,608,475,
715,216,400,714,158,241,379,023,563,522,842,660,299,482,448,783,424,763,780,
942,070,294,196,315,878,563,590,457,090,863,871,523,468,369,210,198,219,296,
026,974,702,292,415,169,314,537,846,799,992,133,322,981,407,020,411,612,456,
335,413,683,115,102,378,930,062,589,241,135,833,029,677,269,941,862,822,429,
606,137,043,915,298,720,567,760,504,503,382,274,372,038,637,843,185,233,071,
891,365,162,835,346,998,606,431,395,826,978,199,519,494,300,642,042,866,190,
048,909,558,444,818,346,372,071,129,207,753,481,494,868,662,688,943,815,955,
365,468,714,824,561,808,709,348,823,861,721,023,502,634,222,272,791,530,161,
783,888,346,351,198,731,134,003,743,717,523,453,944,956,891,796,591,891,237,
649,644,313,859,076,961,837,582,460,853,592,750,580,943,359,344,476,418,837,
710,945,935,948,066,616,419,502,957,489,850,688,181,080,548,786,748,897,463,
960,946,656,142,011,089,897,650,744,795,941,857,679,669,918,129,654,821,974,
962,411,598,292,963,749,749,315,434,683,323,134,309,430,790,024,507,661,981,
515,364,502,581,869,381,000,367,488,992,669,788,077,570,697,786,855,032,526,
557,140,319,668,289,314,097,644,584,496,277,211,536,937,867,375,423,772,960,
316,602,594,560,115,259,586,883,580,305,418,483,867,673,737,435,871,963,555,
054,355,167,929,294,135,550,355,220,158,350,128,885,037,368,087,277,600,387,
350,685,760,240,261,194,903,897,975,799,153,143,506,930,793,512,831,176,241,
557,637,880,010,406,727,492,869,454,785,443,401,067,305,777,138,782,889,151,
038,749,373,686,860,952,226,278,016,749,927,527,022,943,538,196,918,912,244,
942,366,962,190,174,144,987,784,791,851,968,100,610,855,121,184,336,239,556,
193,689,905,582,948,511,215,845,305,545,839,075,000,834,687,762,864,025,634,
893,052,197,721,534,172,835,050,325,868,920,892,621,267,824,806,171,031,923,
915,581,402,389,246,443,504,153,186,573,660,571,278,359,719,744,578,304,591,
285,190,692,957,941,058,539,384,118,447,489,806,582,091,157,911,818,767,954,
459,084,743,549,560,726,888,290,913,645,683,905,175,996,045,221,391,117,562,
181,417,311,761,412,320,600,807,702,358,561,821,137,179,963,209,429,809,444,
593,545,944,744,950,513,589,934,102,157,668,593,255,765,521,162,480,425,867,
398,963,680,841,949,877,782,401,129,820,236,273,749,934,232,880,930,536,859,
814,632,725,347,914,652,650,755,795,456,957,367,288,580,928,810,302,134,489,
317,531,233,572,846,274,237,416,470,351,566,750,593,381,726,378,705,379,698,
876,148,319,966,362,489,000,772,556,701,922,700,097,329,898,442,106,812,334,
084,830,523,405,827,090,443,517,994,695,394,263,677,174,839,672,456,440,540,
494,606,711,885,676,710,622,454,462,059,968,191,542,974,396,086,658,969,189,
670,521,139,078,900,017,499,810,393,810,854,463,206,854,506,933,481,625,277,
837,672,797,913,917,674,160,743,502,117,233,296,698,304,547,200,046,312,703,
592,496,071,513,276,610,821,281,686,832,163,034,760,736,104,159,711,091,963,
683,571,590,087,990,458,347,690,475,520,172,354,351,780,400,148,704,773,956,
103,368,431,141,488,030,187,191,114,989,234,514,429,042,500,829,965,348,540,
678,997,095,272,442,593,520,359,079,901,264,387,141,523,817,895,643,639,467,
898,173,280,145,971,836,805,370,940,509,147,655,304,129,670,665,185,866,062,
729,494,949,755,323,052,714,728,903,980,928,852,462,376,300,280,911,576,401,
704,900,608,814,631,701,191,528,906,574,498,223,274,368,160,078,669,672,855,
034,150,982,721,712,225,327,239,815,673,687,083,403,537,900,060,732,818,218,
201,320,266,870,909,998,295,779,692,309,521,233,902,815,412,878,379,627,569,
510,726,990,285,190,977,289,923,050,581,042,720,823,247,465,650,054,605,417,
099,727,931,745,368,839,759,313,376,280,539,535,816,488,384,572,949,215,551,
115,220,368,645,818,580,354,952,986,131,146,538,062,167,358,990,031,471,510,
472,452,992,787,419,045,265,554,712,314,138,237,221,279,005,293,765,501,997,
618,026,367,915,651,301,605,764,644,747,523,144,532,612,746,014,099,422,527,
679,152,415,187,577,830,815,607,736,752,983,871,958,652,082,414,837,169,781,
324,949,907,383,510,624,396,543,257,743,919,006,771,877,705,740,613,611,493,
051,499,944,359,994,696,764,834,900,883,000,762,247,324,078,498,348,412,345,
217,745,733,759,628,939,034,911,226,894,211,304,206,953,426,364,985,766,704,
050,816,551,679,693,965,907,311,666,047,429,993,781,950,720,006,741,378,878,
619,869,106,596,169,265,081,918,364,667,399,060,763,119,136,921,709,824,324,
317,670,323,881,775,849,452,522,679,713,980,232,454,551,129,219,736,947,302,
439,074,776,918,932,867,149,168,795,554,638,718,531,484,926,350,235,870,034,
875,531,758,128,576,225,627,093,833,746,100,138,344,531,977,546,704,247,950,
065,087,747,507,683,383,914,428,050,103,884,663,380,757,853,513,580,250,065,
759,757,086,500,703,453,374,672,855,213,423,848,978,634,516,081,656,829,710,
601,028,029,617,763,544,259,546,322,843,676,067,085,364,284,182,255,059,138,
089,643,211,512,451,066,418,108,270,032,406,126,452,487,677,423,889,392,315,
378,212,571,903,323,057,165,644,821,443,086,394,823,434,324,084,248,412,817,
183,830,960,417,438,544,241,375,649,823,897,773,659,290,295,401,128,917,923,
907,789,593,903,395,464,128,984,085,951,054,416,851,391,533,870,878,553,028,
438,330,569,346,343,761,143,265,697,621,608,403,352,331,776,090,748,219,188,
503,634,372,210,003,552,180,543,697,560,871,222,289,394,329,365,039,900,987,
601,733,602,024,285,539,179,783,525,698,511,143,854,680,111,463,487,085,543,
102,586,344,715,211,831,054,348,537,760,082,471,691,838,591,514,685,309,705,
741,921,498,856,759,427,455,987,950,127,630,343,170,092,463,018,220,528,909,
649,397,288,743,173,311,264,796,612,492,963,946,378,683,192,329,552,909,777,
009,090,369,754,061,732,186,866,173,636,869,455,494,367,966,037,187,904,769,
634,169,516,371,886,362,619,091,744,217,309,452,304,857,302,465,243,449,236,
464,861,495,028,442,347,517,658,469,699,548,627,802,018,087,211,141,662,908,
596,004,222,414,775,659,774,938,114,427,489,449,718,745,651,923,676,675,415,
908,127,371,730,392,081,481,770,699,502,080,775,645,394,660,757,937,756,635,
187,841,340,134,178,726,796,627,830,180,259,252,787,962,024,211,695,691,777,
890,443,217,516,045,822,429,661,377,894,775,980,070,764,352,478,795,873,652,
535,354,218,079,386,919,379,716,228,039,953,207,382,838,729,075,889,489,351,
174,920,039,460,993,827,568,596,912,386,133,197,559,268,019,996,785,336,125,
559,569,397,717,791,274,927,375,421,498,704,665,529,335,273,473,261,410,550,
364,881,242,207,632,053,896,979,560,192,870,162,028,471,043,990,644,250,769,
077,030,384,080,541,706,681,856,743,345,759,718,261,706,973,413,316,075,095,
356,283,509,791,214,537,159,951,296,948,892,332,954,307,429,865,104,287,926,
633,547,157,232,425,359,300,160,611,869,582,865,201,999,477,578,950,725,471,
530,285,018,114,146,684,342,538,608,375,815,506,623,359,749,080,647,382,687,
335,556,237,086,645,224,560,305,245,017,126,260,613,182,567,222,328,099,504,
641,911,533,471,230,243,792,075,461,286,077,114,995,386,665,483,355,698,132,
303,003,649,538,787,377,868,975,906,834,508,936,031,986,359,780,444,479,813,
230,648,776,187,527,070,153,831,283,383,124,876,894,522,061,010,750,043,433,
435,867,316,021,908,457,338,259,389,871,687,669,251,064,845,106,410,726,771,
246,960,474,034,076,704,000,308,684,788,046,655,523,953,423,041,221,896,182,
696,931,960,931,559,662,721,396,751,725,981,685,444,671,714,419,384,411,120,
615,899,030,709,466,721,571,044,864,706,997,634,705,779,556,817,031,899,712,
934,483,737,576,933,492,358,634,319,782,039,480,784,344,270,526,114,319,095,
643,900,799,328,264,206,593,929,113,917,640,998,985,472,182,606,275,535,359,
596,829,243,084,356,859,297,200,181,186,636,415,434,504,399,644,635,290,613,
410,156,827,536,920,909,249,650,667,640,092,458,118,389,318,738,812,800,428,
254,044,777,619,606,735,536,473,065,414,524,384,233,205,250,880,266,006,093,
851,956,914,522,787,630,996,930,896,127,196,928,821,039,706,790,741,099,114,
830,450,571,637,763,570,332,514,980,457,330,610,448,159,199,174,285,624,236,
635,097,907,019,865,454,493,399,286,805,583,771,219,354,397,299,956,936,242,
789,970,824,720,336,309,089,008,399,145,241,655,031,774,407,619,918,613,842,
461,290,625,138,878,251,004,060,723,907,020,882,584,836,140,948,496,663,098,
147,201,241,751,951,585,671,814,830,612,853,763,219,789,443,199,308,165,159,
998,816,420,708,177,220,658,027,684,815,009,219,477,394,509,640,545,317,484,
050,394,311,515,481,481,262,979,856,487,974,559,419,608,301,413,402,920,668,
293,744,954,785,809,709,032,854,285,970,111,145,281,360,327,287,503,896,488,
958,888,904,199,072,786,318,986,002,391,653,910,455,791,739,703,940,867,722,
233,207,959,030,276,106,676,273,418,947,267,499,473,041,522,382,994,229,478,
289,372,046,584,533,396,361,326,438,523,861,179,721,142,349,766,634,160,262,
931,714,794,628,968,674,462,864,531,403,900,920,958,663,264,218,582,540,730,
121,685,044,316,617,021,762,488,797,133,615,497,075,301,420,624,048,585,386,
933,328,072,024,702,500,007,553,511,967,264,656,269,445,179,613,906,503,496,
577,910,235,121,746,707,023,270,967,034,494,642,712,312,742,632,466,155,148,
177,753,255,004,925,330,591,175,096,450,948,426,219,668,639,328,445,067,956,
487,800,245,700,846,814,179,555,091,461,373,059,592,648,628,227,197,802,389,
299,757,709,575,989,833,386,095,030,178,071,012,160,445,196,764,467,218,964,
803,354,508,007,477,914,946,631,358,783,472,548,528,364,225,472,242,376,148,
759,453,474,888,566,254,208,613,790,922,966,791,354,193,776,707,329,063,971,
952,504,113,267,277,219,668,835,917,594,031,272,905,022,839,708,617,234,751,
221,412,334,452,992,869,459,468,747,700,966,966,038,641,395,181,117,666,089,
460,139,137,056,166,522,811,881,763,026,703,844,591,428,528,264,639,035,825,
413,316,109,477,180,520,969,101,514,768,318,681,061,073,823,088,493,282,786,
153,237,012,969,470,100,583,314,587,326,526,008,138,597,580,965,030,721,212,
514,462,704,940,990,999,240,133,442,225,289,508,041,290,348,505,327,304,144,
568,492,498,009,135,864,701,161,299,600,556,121,647,080,511,929,079,706,793,
874,262,067,829,729,452,525,302,017,827,205,295,423,688,645,763,963,160,398,
778,707,392,204,757,681,083,028,292,864,047,946,832,331,119,216,410,562,626,
492,150,965,179,214,759,199,274,169,842,447,511,866,906,721,696,380,206,024,
265,675,116,032,257,364,354,794,231,094,895,316,081,058,662,408,472,606,835,
994,545,361,298,603,770,705,033,344,365,893,251,125,359,249,460,052,687,549,
046,752,720,021,320,429,658,780,957,314,928,839,607,804,251,445,434,490,147,
592,161,657,083,265,304,196,798,128,470,408,988,462,720,927,036,070,625,370,
859,789,214,500,237,228,186,191,347,822,458,878,330,553,604,771,325,825,918,
535,955,246,035,177,832,707,979,304,883,139,621,176,272,757,721,510,829,015,
911,649,790,252,204,876,938,103,304,756,763,501,890,672,575,170,004,468,254,
952,825,064,649,684,763,132,759,429,329,032,089,587,789,005,085,810,549,431,
298,682,096,352,436,890,772,602,825,243,805,416,431,385,123,308,805,260,590,
068,075,537,242,776,358,679,084,910,928,919,100,120,047,819,679,051,493,958,
393,087,090,022,045,044,026,097,765,744,146,365,867,430,616,551,699,460,443,
231,785,397,866,473,424,018,150,026,892,505,628,796,664,200,853,550,390,109,
638,805,127,708,312,494,013,543,716,892,063,862,481,823,705,321,372,627,137,
028,736,508,855,320,289,151,869,323,223,875,568,733,312,631,643,747,526,634,
710,012,471,642,445,610,553,423,099,030,913,520,320,978,416,964,828,648,275,
092,073,722,229,861,485,186,662,404,178,548,084,659,296,396,242,803,376,947,
708,655,352,759,690,697,419,605,139,209,328,793,767,032,073,489,678,389,662,
171,710,963,885,184,084,090,537,238,162,340,822,080,210,045,491,751,588,398,
201,814,291,085,119,119,604,814,989,349,008,316,510,023,356,202,668,995,171,
921,403,328,088,020,881,761,221,054,648,642,580,258,714,109,038,242,875,610,
918,920,894,581,006,171,123,521,542,829,260,087,231,628,789,171,583,278,181,
613,766,073,854,962,943,160,403,154,476,053,776,454,396,897,254,726,706,003,
580,596,116,271,281,534,748,401,550,842,659,206,582,387,786,985,188,971,339,
050,768,690,746,899,907,889,116,633,917,125,362,850,473,793,059,956,236,874,
386,730,183,049,715,927,771,559,447,662,086,312,829,554,566,888,744,195,405,
145,752,471,502,711,010,777,005,795,665,223,610,242,690,330,612,241,809,638,
297,460,640,621,831,888,550,804,066,644,023,884,295,845,079,715,269,367,519,
991,352,996,459,664,280,164,061,386,606,473,320,314,611,105,700,605,716,036,
398,598,104,425,365,465,544,553,780,968,862,786,534,411,635,001,006,998,874,
167,958,678,223,772,185,937,007,063,784,373,611,492,322,118,776,948,324,411,
105,868,255,480,883,693,147,313,845,689,696,578,557,220,508,242,699,709,039,
138,808,953,799,149,437,796,986,517,379,129,493,837,106,642,584,728,377,206,
060,522,196,829,348,963,525,712,212,868,789,179,093,461,531,500,371,345,176,
296,801,011,589,674,170,937,297,198,308,613,417,979,136,390,237,326,385,881,
050,336,279,703,510,625,244,888,282,889,565,263,853,907,145,716,205,899,624,
419,885,642,243,705,271,022,263,930,578,687,695,873,447,985,347,409,677,989,
932,632,745,180,809,088,455,333,107,453,486,631,197,696,537,772,483,880,077,
722,272,783,859,726,308,023,304,886,552,166,814,586,397,565,107,304,440,998,
318,627,020,990,653,892,214,388,418,358,211,658,814,364,133,001,321,665,973,
925,817,770,184,834,646,085,999,084,006,854,552,468,630,851,948,585,318,299,
301,390,200,514,634,117,862,172,763,199,713,191,445,886,309,796,693,102,446,
557,427,826,685,531,145,240,727,204,814,711,493,660,980,888,032,972,748,357,
474,323,731,596,852,772,853,584,009,064,882,341,063,476,598,684,496,608,930,
627,121,644,061,313,866,278,157,973,847,962,959,008,834,808,750,583,429,042,
284,479,158,369,859,333,444,011,073,077,704,200,638,191,042,136,130,354,730,
469,293,020,677,654,026,724,744,971,101,324,891,075,655,509,738,151,204,360,
489,326,532,835,230,307,691,401,140,840,853,069,444,117,451,429,835,777,296,
927,399,343,730,117,813,744,123,305,266,244,366,288,442,319,574,743,974,546,
618,156,470,567,072,765,648,241,174,749,392,958,307,133,498,962,899,324,379,
652,884,818,523,038,783,919,031,121,928,428,401,327,894,881,846,426,298,237,
211,418,658,140,948,315,246,393,645,101,969,309,114,176,490,272,811,763,318,
473,395,062,402,618,661,304,643,705,575,283,592,011,893,200,938,248,097,280,
095,226,781,475,152,908,251,015,019,890,818,247,752,020,087,680,736,821,437,
556,550,120,394,886,029,181,285,306,383,799,510,844,074,202,394,502,706,034,
896,409,271,595,792,114,476,998,149,650,210,617,969,875,398,263,506,304,398,
912,017,834,038,474,328,834,030,581,020,623,409,599,824,795,480,912,748,775,
926,630,416,920,198,944,897,772,391,817,701,682,333,202,447,090,460,523,886,
086,986,034,994,393,062,387,039,400,007,676,447,249,284,866,388,098,555,830,
674,940,681,908,806,075,853,422,629,052,319,183,698,504,089,716,096,524,438,
244,558,349,268,330,310,919,138,313,473,040,099,529,146,649,579,117,069,394,
116,057,845,708,243,345,163,578,379,579,541,086,609,205,863,050,111,726,331,
861,747,608,382,747,214,984,013,605,831,356,064,497,845,765,380,793,237,466,
345,444,069,856,682,216,137,700,751,188,670,435,270,078,434,722,454,860,698,
373,907,699,199,650,983,472,440,093,023,897,077,766,364,649,255,963,568,990,
690,953,311,638,723,327,899,882,915,036,285,481,298,787,471,115,973,080,094,
797,804,153,961,647,738,044,024,009,841,420,554,252,635,924,514,542,432,744,
998,119,684,407,854,558,528,994,511,949,690,768,224,748,400,596,437,536,530,
940,883,120,324,324,709,526,470,842,473,990,609,738,105,193,085,659,680,858,
155,745,759,176,079,878,067,965,588,821,872,312,041,888,985,596,712,172,346,
413,196,144,600,442,526,754,680,547,243,051,300,847,436,662,523,585,996,755,
324,504,068,443,443,134,766,742,901,503,048,390,845,918,163,977,937,992,316,
595,514,110,083,920,196,324,402,541,972,081,460,539,037,056,157,204,898,848,
149,488,718,792,926,376,634,497,158,440,327,711,324,959,472,500,390,658,909,
774,893,547,436,677,900,313,840,867,154,997,668,555,275,685,244,091,154,832,
803,689,595,904,058,800,244,150,479,081,224,394,589,131,830,014,119,365,229,
475,455,940,144,424,694,600,416,630,159,458,870,839,476,527,427,420,859,001,
482,445,066,467,978,705,967,848,818,617,721,091,575,102,542,578,467,233,329,
658,812,460,913,735,809,787,036,825,368,040,215,611,061,189,451,615,368,219,
858,455,014,784,722,035,769,827,641,026,398,163,926,873,608,538,869,229,730,
850,926,126,648,337,839,609,393,867,433,762,699,248,269,813,112,095,873,405,
438,525,967,677,093,566,789,593,616,895,769,968,925,819,269,939,813,993,605,
796,639,831,499,657,453,520,031,185,247,974,896,689,518,666,652,816,162,401,
537,398,966,278,976,852,967,985,426,801,809,492,835,074,337,238,566,315,479,
765,666,634,624,494,076,160,008,655,867,267,759,522,784,406,735,635,186,332,
324,661,307,541,794,457,967,896,189,250,420,984,559,489,889,536,625,015,687,
146,117,474,405,500,580,255,987,125,382,173,697,022,433,430,924,373,731,480,
528,957,197,644,767,395,007,656,046,029,402,562,569,578,552,101,628,923,894,
936,382,761,013,455,617,874,718,958,668,600,360,876,033,289,660,700,989,077,
637,074,420,013,807,159,573,454,151,440,369,328,139,425,872,561,771,572,440,
238,952,525,981,807,636,849,825,080,592,638,762,628,595,910,580,519,164,626,
056,239,633,252,653,313,214,379,605,513,261,843,659,207,130,828,504,945,409,
100,686,483,240,767,170,868,704,203,638,233,096,554,758,009,283,805,177,858,
115,998,370,902,996,550,012,602,424,578,529,178,890,026,055,976,642,027,559,
059,515,344,454,978,177,683,993,412,208,764,424,926,363,585,526,966,573,159,
563,415,252,007,156,005,444,883,659,336,560,325,856,157,726,731,646,338,452,
084,585,606,390,600,404,958,081,892,005,762,772,901,511,125,737,125,847,376,
467,436,239,372,989,339,779,595,708,034,474,237,176,926,995,608,455,209,011,
545,451,874,961,003,454,527,233,244,291,048,939,650,285,083,116,569,856,957,
722,765,116,168,808,002,025,455,328,532,510,466,669,234,080,542,879,847,450,
100,658,672,076,855,547,527,476,393,909,197,925,309,384,376,204,269,431,487,
594,514,862,417,122,517,868,859,064,613,602,894,050,151,226,092,406,741,259,
382,470,530,082,219,891,782,146,140,439,420,431,099,763,824,494,210,539,319,
647,980,476,678,928,361,155,109,002,298,154,548,987,784,813,744,241,922,501,
528,245,917,613,014,866,823,786,212,829,803,538,997,433,432,257,895,822,868,
195,413,590,037,628,049,242,204,264,797,181,683,775,129,208,994,593,091,376,
615,076,538,674,757,731,130,384,389,671,903,242,568,557,760,095,614,534,858,
930,682,748,874,489,485,009,863,179,114,449,281,050,137,971,816,648,787,664,
788,924,865,405,041,858,317,839,237,432,081,900,744,374,536,874,972,572,862,
164,332,971,321,675,588,474,182,078,737,176,928,961,483,126,705,656,287,922,
629,551,383,537,606,877,545,566,005,096,002,896,065,530,178,131,785,297,868,
940,047,189,031,396,052,516,232,702,737,424,474,891,634,677,883,026,620,885,
637,724,885,249,338,581,448,122,779,097,092,481,661,570,794,562,050,259,787,
351,408,635,423,473,784,112,489,147,083,027,371,856,445,025,582,484,023,106,
281,897,170,952,801,140,020,625,216,466,058,451,876,653,676,048,490,040,404,
090,424,130,127,420,799,508,203,509,198,995,625,826,324,412,085,970,548,915,
350,587,377,438,488,484,296,203,061,069,251,721,624,659,447,387,727,364,994,
289,708,203,578,768,745,921,996,024,984,524,127,840,366,194,557,674,124,231,
498,401,850,421,907,844,414,296,534,839,820,614,370,304,220,095,716,033,956,
935,515,569,266,319,603,318,795,059,996,048,107,248,839,661,891,236,896,529,
122,799,796,753,573,058,159,743,390,237,847,638,388,588,308,353,295,008,894,
409,244,706,257,046,812,497,088,082,580,935,830,154,498,374,683,622,798,414,
170,765,355,908,850,567,850,543,635,260,354,580,647,503,487,003,855,755,275,
747,317,768,557,423,113,272,738,028,924,335,113,840,668,706,157,141,593,328,
161,017,076,339,877,107,469,112,349,430,108,390,126,822,562,866,413,251,656,
546,983,694,874,995,987,813,229,583,818,499,326,609,742,676,424,359,668,201,
395,880,603,530,153,823,078,715,181,195,796,764,233,306,204,496,567,483,898,
833,957,692,256,605,579,632,550,744,232,159,650,750,382,559,429,156,852,286,
023,375,102,350,614,107,407,282,992,248,735,868,923,740,678,498,356,511,237,
017,760,476,035,596,972,129,533,674,965,067,496,656,194,108,939,433,491,783,
889,865,109,976,377,657,741,679,327,229,818,367,209,472,848,788,702,481,809,
648,434,945,999,623,069,946,099,136,736,450,260,068,265,526,300,247,438,835,
091,012,539,788,111,599,239,776,861,538,653,667,221,159,836,628,506,478,901,
683,768,381,655,272,546,603,530,472,257,117,684,419,223,194,192,962,386,043,
504,845,789,517,422,568,182,153,685,777,697,274,314,668,552,166,860,396,619,
236,191,806,028,401,432,962,656,440,440,857,722,279,471,991,913,779,005,394,
255,010,585,091,952,568,012,306,367,835,383,734,032,832,257,430,564,991,982,
142,718,420,612,605,102,996,230,285,310,266,755,287,579,613,008,707,941,316,
259,612,143,608,364,114,883,488,149,932,096,074,140,976,306,680,602,178,186,
502,365,484,750,922,416,066,479,437,200,987,043,480,453,513,288,008,405,846,
574,330,293,674,791,749,090,528,864,936,921,644,563,785,189,769,036,565,553,
045,190,315,886,577,072,140,494,903,151,743,847,484,490,904,225,760,370,987,
976,385,968,978,331,866,077,484,986,524,803,324,752,103,227,452,059,843,608,
785,923,777,407,025,728,440,271,387,327,684,455,057,761,950,655,591,229,665,
809,578,433,695,925,476,044,954,611,873,820,871,000,567,820,908,381,728,081,
518,631,015,238,848,542,220,152,784,765,517,528,378,305,030,536,205,951,142,
915,378,364,306,182,144,164,867,840,571,149,097,248,201,727,755,462,324,628,
027,640,776,478,863,265,231,025,322,522,198,771,467,504,185,255,732,624,272,
321,571,904,943,555,431,509,908,134,496,064,811,355,272,746,449,026,947,751,
320,279,450,637,221,733,704,955,562,398,834,655,939,588,475,931,986,470,570,
114,942,196,741,549,878,948,774,804,058,088,872,760,609,345,145,066,766,813,
660,897,335,795,833,925,218,504,645,811,188,096,402,461,336,233,143,080,513,
396,747,576,565,836,078,752,641,127,143,095,018,237,809,629,790,130,399,968,
000,038,958,670,256,577,582,114,470,843,295,723,641,258,604,620,133,780,101,
354,457,126,887,977,990,480,580,642,176,382,700,303,237,017,050,389,115,124,
957,774,674,546,781,834,243,592,909,254,103,647,561,413,510,093,649,803,404,
616,979,767,386,260,471,943,617,081,154,425,605,655,330,436,052,442,102,249,
393,087,065,402,628,098,193,623,876,064,650,473,062,535,759,903,105,313,491,
727,027,958,028,692,368,794,062,448,334,814,811,268,902,626,671,857,377,942,
162,494,976,528,822,416,188,013,443,387,857,906,523,474,067,807,499,280,620,
753,737,077,826,188,382,240,963,336,698,978,216,371,912,159,621,513,574,818,
280,488,283,946,051,198,720,552,332,217,493,708,442,231,186,164,275,681,913,
359,300,048,471,695,911,963,703,463,502,742,285,987,998,424,491,934,879,743,
690,003,745,571,771,709,433,422,507,422,518,086,542,423,195,695,883,579,781,
234,184,670,916,104,179,782,292,030,235,880,086,351,703,817,760,126,590,531,
261,738,528,901,391,428,384,073,176,445,682,984,747,962,868,866,307,676,146,
579,912,127,417,027,782,278,231,189,797,052,099,614,582,261,554,544,411,966,
964,534,838,475,947,539,782,827,517,398,296,976,956,744,491,015,338,217,169,
967,514,525,306,299,374,066,984,478,652,374,381,777,610,509,946,794,075,017,
539,882,613,647,983,527,451,045,817,690,010,654,892,393,482,808,046,898,221,
947,487,264,571,305,789,824,626,221,297,783,888,866,023,995,221,716,139,930,
117,259,386,415,462,087,504,918,460,690,568,758,438,008,333,399,506,384,338,
930,531,806,340,912,104,998,460,276,250,353,046,046,076,879,851,241,057,372,
086,751,045,509,096,287,992,752,482,905,558,787,586,534,945,391,389,296,262,
066,589,365,438,967,501,096,787,034,910,767,153,228,381,521,013,223,226,007,
478,478,176,672,168,409,926,614,972,769,711,041,469,192,369,947,210,972,340,
213,761,413,734,634,852,871,766,872,375,590,508,414,964,249,654,211,430,129,
643,650,322,991,065,890,067,397,403,387,893,628,892,736,555,765,431,936,464,
190,856,460,430,654,192,882,939,854,706,849,093,356,842,129,668,113,803,673,
282,081,370,737,284,795,379,421,796,771,144,443,187,443,498,116,398,933,664,
963,246,195,724,189,013,619,047,689,966,942,186,221,254,400,804,456,061,265,
199,743,354,475,623,144,751,413,933,170,993,023,279,712,308,180,595,969,972,
908,079,248,083,444,566,954,194,644,796,862,520,989,398,058,909,561,487,043,
399,757,781,369,743,501,603,689,808,379,933,448,122,545,460,200,243,350,625,
481,019,526,486,786,861,496,997,131,959,552,610,760,715,042,930,613,234,019,
892,405,772,657,373,448,499,917,474,375,479,639,395,657,333,814,161,314,793,
620,653,358,683,154,817,837,338,402,014,725,508,993,753,131,464,210,210,926,
987,133,402,896,087,978,622,701,800,240,554,014,662,729,358,571,779,073,125,
024,390,562,929,078,055,602,573,448,639,644,542,463,322,065,479,344,090,739,
285,394,765,560,913,246,160,658,149,065,408,769,686,897,125,492,756,400,814,
477,440,773,777,479,942,432,509,470,285,423,405,702,211,596,713,275,670,647,
601,206,888,044,415,760,805,941,649,965,691,218,789,284,263,726,971,621,335,
490,908,241,724,906,454,381,896,551,178,306,850,432,454,587,874,631,322,075,
849,270,532,793,144,774,418,450,845,487,164,580,092,794,043,524,068,176,244,
601,838,105,668,406,025,002,570,339,028,611,553,438,811,456,837,553,720,224,
661,743,395,431,604,891,029,958,201,197,674,030,254,494,623,793,228,225,928,
754,667,695,759,869,359,414,662,500,428,339,813,398,729,017,863,878,113,045,
813,077,680,293,526,462,352,723,149,856,426,483,863,817,709,268,443,070,221,
663,725,707,871,930,835,403,749,048,676,054,741,183,054,165,989,136,129,117,
445,241,413,306,048,066,717,567,691,044,830,555,420,912,683,314,018,253,181,
472,450,678,783,636,043,470,908,381,008,097,546,834,266,458,265,497,527,151,
159,856,617,367,017,619,095,133,179,296,945,189,522,451,516,327,608,219,398,
752,634,641,375,131,803,891,259,786,555,238,220,361,037,026,708,338,582,716,
499,999,091,948,168,250,960,876,940,131,552,385,185,260,358,281,700,970,124,
649,522,220,999,575,135,547,982,237,818,380,538,227,583,667,966,726,869,052,
956,360,028,480,748,993,109,403,939,958,544,814,628,650,405,186,204,637,384,
346,037,859,297,618,521,703,750,284,328,089,677,838,390,148,552,024,644,334,
076,379,460,789,939,788,777,163,180,933,470,386,837,120,927,936,298,694,805,
420,055,266,532,776,935,329,385,350,073,085,096,940,180,690,265,875,859,269,
801,206,864,552,575,315,315,137,071,793,923,529,142,484,587,738,056,247,633,
732,190,689,543,366,760,417,157,821,161,331,490,008,047,536,936,187,572,000,
158,280,656,302,662,274,012,699,733,533,873,969,107,266,225,770,539,371,442,
889,725,725,021,003,433,911,067,157,122,685,382,655,698,531,321,702,086,627,
255,064,334,242,678,418,042,896,275,967,730,316,558,540,467,578,529,972,090,
506,738,495,644,692,896,072,851,974,059,167,709,189,052,247,240,933,386,883,
369,584,704,814,403,726,374,510,614,706,393,606,767,305,793,867,730,297,958,
602,138,460,512,803,334,088,189,658,476,957,253,732,955,334,760,854,879,041,
175,867,567,188,810,684,413,932,260,717,173,678,921,804,701,367,899,607,723,
426,999,445,820,216,647,234,371,830,644,025,411,241,165,043,684,054,070,805,
681,161,624,429,528,956,308,938,478,864,605,591,480,637,633,109,725,579,654,
286,394,336,878,844,704,196,390,032,813,336,719,249,589,019,110,306,321,654,
940,981,907,826,023,436,295,677,556,321,190,761,260,126,567,773,924,742,142,
791,068,332,945,674,272,627,061,474,511,692,329,100,641,339,898,517,642,045,
723,897,861,260,769,670,179,213,584,440,669,733,005,848,719,640,386,398,630,
628,334,873,899,686,938,827,416,352,090,846,980,721,166,121,813,533,829,058,
504,203,240,728,653,395,661,707,726,134,692,632,308,169,414,923,844,342,538,
937,457,307,391,417,561,805,141,021,002,218,235,338,134,692,783,750,847,631,
582,353,196,558,195,863,854,091,439,967,527,199,211,013,932,899,473,925,815,
669,342,348,424,498,746,002,314,742,023,350,709,889,244,426,269,807,445,654,
309,170,688,940,366,578,479,633,776,524,441,641,725,757,381,024,030,321,086,
221,220,357,518,538,687,766,036,832,588,366,655,090,771,626,602,118,672,291,
242,034,804,954,542,865,992,153,519,972,751,208,068,309,436,681,295,498,420,
449,350,856,378,031,978,333,518,570,119,642,180,915,704,092,307,505,091,680,
103,098,306,629,360,967,046,011,696,786,999,902,915,617,667,788,823,172,282,
671,938,676,883,552,585,174,342,169,915,111,755,397,013,467,539,564,950,962,
914,463,050,901,406,992,653,564,911,217,519,196,990,396,016,980,498,899,069,
725,768,604,296,351,842,238,082,828,902,648,931,106,600,075,276,138,771,819,
510,547,583,105,677,585,605,579,511,504,331,348,937,236,569,073,523,186,390,
598,452,808,045,161,586,000,534,092,710,979,166,710,369,993,491,194,840,158,
972,034,814,587,850,946,568,980,111,290,155,186,559,866,869,170,582,796,553,
830,960,186,289,075,749,400,457,758,914,387,534,006,370,619,306,201,751,351,
404,552,866,767,313,458,431,438,471,396,891,847,016,053,887,238,598,190,395,
530,085,881,666,880,982,082,084,642,244,827,892,569,052,818,129,219,741,864,
437,869,827,059,451,691,438,180,808,125,507,194,911,036,336,930,614,705,830,
397,052,707,441,101,088,645,435,594,439,812,835,850,666,886,827,432,717,613,
087,813,672,052,279,842,597,803,403,009,124,410,277,827,291,102,083,975,504,
742,120,151,894,902,723,642,737,968,516,607,951,106,262,351,584,354,925,701,
498,375,295,522,546,814,284,600,210,693,236,084,033,737,905,775,332,468,696,
525,613,081,029,710,165,354,138,228,974,828,242,561,367,776,751,261,835,266,
579,212,864,393,060,785,042,960,868,353,761,012,612,556,179,184,874,082,751,
852,529,810,577,313,183,338,651,993,834,140,421,745,446,143,791,948,323,162,
026,666,650,182,849,527,164,883,056,659,816,572,505,058,689,787,095,189,651,
233,841,852,752,171,755,145,382,085,178,185,069,047,142,045,058,904,915,902,
733,271,048,750,873,635,722,266,052,791,331,967,254,340,100,613,091,629,220,
335,699,946,977,807,821,930,812,509,356,129,047,243,294,096,616,087,242,281,
183,924,954,392,038,353,566,611,298,154,584,584,572,863,480,728,720,553,946,
397,992,093,265,918,348,220,290,447,716,681,843,083,240,551,943,834,837,917,
830,778,227,654,067,769,102,372,678,544,633,905,716,934,440,486,166,125,844,
810,461,277,175,997,710,576,407,101,489,211,947,285,766,164,279,618,241,636,
273,048,404,577,277,500,307,671,806,399,389,231,638,434,352,333,186,731,069,
609,465,871,430,677,898,712,353,312,296,543,318,843,692,929,619,649,780,740,
926,402,266,605,325,952,454,706,234,755,351,267,506,583,837,650,598,446,682,
323,780,960,422,496,155,657,885,883,752,824,736,486,249,788,850,223,807,681,
711,769,600,696,747,982,174,007,727,283,152,130,375,523,032,750,897,009,372,
960,332,825,174,023,005,034,871,284,399,311,004,805,592,751,274,685,338,451,
418,206,937,746,095,365,937,082,015,854,923,967,818,813,922,461,606,794,646,
114,932,572,049,139,482,187,305,961,280,097,525,526,295,760,534,314,499,504,
728,195,926,610,875,898,925,336,561,581,427,001,773,676,305,417,417,007,804,
999,480,728,783,701,776,163,748,240,474,133,903,812,791,353,960,834,797,402,
494,839,392,295,031,074,766,206,797,967,470,699,890,647,656,425,092,732,274,
199,063,469,188,658,772,171,274,055,126,654,097,865,044,009,139,327,718,547,
907,555,347,518,984,197,909,212,475,289,386,926,288,666,752,543,205,286,028,
285,302,161,177,805,715,010,459,890,337,650,444,440,218,918,681,497,849,229,
657,299,070,434,126,631,660,188,568,790,343,606,861,459,162,317,667,582,235,
810,665,506,480,940,915,524,268,997,102,194,920,904,940,623,398,199,347,387,
549,354,197,374,373,987,834,206,480,793,066,853,411,651,832,784,371,945,921,
803,541,317,643,549,481,338,741,633,613,817,711,763,954,018,695,322,586,551,
398,817,924,796,752,874,685,036,722,263,063,100,476,898,944,549,982,369,013,
886,670,401,219,636,374,823,104,386,723,507,959,265,119,727,730,640,346,626,
586,655,446,273,134,094,390,529,385,599,775,314,840,031,590,674,728,670,119,
409,501,070,600,935,801,468,218,370,884,500,061,823,713,984,306,690,671,103,
646,430,368,257,736,545,099,641,280,239,868,664,818,458,969,243,619,867,006,
626,196,216,631,648,661,171,606,278,245,076,844,649,042,361,187,805,134,431,
360,929,764,626,740,247,327,414,337,373,176,231,301,217,194,826,053,527,448,
760,392,567,562,536,029,344,793,954,448,093,091,468,808,010,506,917,102,952,
616,826,757,420,358,765,854,444,876,834,488,867,211,581,665,326,900,275,143,
122,633,331,951,846,655,729,731,491,458,311,319,857,676,763,481,705,744,128,
574,363,231,867,988,408,350,628,541,740,787,986,903,231,011,990,177,983,570,
195,094,316,617,655,127,493,502,351,542,512,370,413,354,350,000,182,675,926,
310,442,773,679,098,587,517,289,626,449,698,247,663,258,158,298,378,110,849,
401,564,770,816,502,047,672,294,947,299,239,028,884,035,039,381,491,180,472,
339,866,271,753,307,736,680,009,057,926,293,706,256,329,292,237,939,083,488,
763,111,852,540,580,019,563,740,529,616,577,600,074,587,089,376,355,580,573,
712,351,045,020,593,984,787,076,947,767,364,437,357,259,179,171,086,550,649,
560,678,158,651,202,742,165,880,032,638,150,477,567,665,712,792,159,117,282,
572,547,155,002,937,871,353,872,409,899,433,190,834,755,028,040,892,190,999,
923,740,941,749,998,653,160,564,546,570,499,357,641,278,115,914,022,368,139,
188,824,667,587,718,714,143,579,773,260,864,180,636,093,592,702,473,527,426,
208,989,812,469,788,634,875,161,986,214,766,501,221,133,990,103,181,523,004,
404,371,509,694,997,206,779,390,083,692,010,109,739,310,320,046,386,996,207,
787,655,920,939,151,978,094,616,164,994,289,096,102,034,685,246,188,280,143,
223,430,615,518,635,977,814,647,517,539,043,354,498,379,196,249,491,163,935,
325,143,047,224,443,325,146,465,642,326,640,629,817,574,555,961,198,403,023,
089,723,142,016,269,088,123,100,180,483,065,036,010,127,156,008,644,484,730,
494,624,163,918,384,480,009,600,899,955,258,403,267,850,666,452,326,254,432,
951,276,610,948,143,403,613,810,969,112,488,310,716,899,910,493,859,216,338,
940,531,650,031,150,552,877,341,054,391,528,420,838,258,889,060,993,572,415,
434,466,621,111,132,475,988,061,666,033,358,553,694,581,341,074,112,024,746,
719,863,937,847,681,735,020,172,525,576,240,048,706,713,395,792,448,969,950,
811,990,583,624,163,617,526,130,828,901,474,752,192,965,979,100,855,510,157,
310,331,854,617,650,048,097,781,727,208,057,929,846,737,306,073,767,212,037,
619,702,519,413,468,926,194,448,840,826,038,024,008,774,953,658,925,533,459,
514,766,559,221,393,498,214,847,399,160,962,743,249,441,992,832,512,252,599,
713,711,674,181,356,017,310,372,353,083,974,206,060,999,455,621,412,149,403,
035,555,450,605,083,040,277,124,194,798,624,373,082,127,721,255,758,657,994,
185,722,604,489,863,162,398,744,860,515,666,182,732,674,396,770,470,380,031,
847,045,220,042,631,886,849,960,734,238,378,748,308,003,507,539,003,674,297,
140,811,686,528,589,907,691,820,699,147,553,613,934,395,205,796,483,220,670,
104,501,646,323,530,404,973,366,869,979,648,619,552,430,842,135,342,277,463,
674,413,131,636,595,168,972,567,743,615,571,006,398,909,782,811,217,334,244,
055,485,095,870,921,615,518,670,100,184,871,049,344,743,754,938,210,399,679,
252,343,421,335,676,895,467,593,118,112,355,968,078,758,304,942,094,159,096,
402,822,717,668,493,342,163,759,520,016,209,226,987,624,589,187,635,477,468,
003,363,025,701,509,518,163,282,137,413,811,387,338,736,281,260,940,426,091,
004,365,990,556,632,981,188,094,538,233,680,076,564,047,181,832,185,468,654,
856,961,971,445,555,124,575,255,324,939,022,840,922,504,267,518,443,151,043,
275,750,672,868,433,437,397,121,651,281,260,502,529,589,941,525,164,332,409,
694,570,121,127,689,978,507,304,197,632,075,794,594,486,266,432,690,873,014,
870,138,684,695,751,979,501,526,849,061,426,196,016,485,774,395,993,592,652,
307,716,185,862,771,703,254,353,407,663,872,417,226,158,271,608,797,977,839,
273,054,819,130,891,029,899,855,169,999,628,721,742,720,244,173,268,395,467,
163,653,549,699,784,411,529,201,000,924,536,788,499,292,974,897,929,277,042,
433,300,485,361,599,295,777,676,408,956,264,698,679,719,298,843,194,270,724,
576,039,991,149,899,772,392,080,670,330,510,792,705,489,305,035,118,517,933,
530,276,035,160,729,264,023,755,769,444,679,549,346,968,480,379,185,510,241,
737,650,399,290,385,727,009,705,957,602,274,515,452,794,244,763,446,834,818,
417,104,031,342,285,308,064,442,725,187,621,611,896,382,163,664,913,983,620,
203,718,293,645,631,500,054,252,744,448,535,319,534,153,197,095,202,384,767,
825,925,985,042,530,767,049,313,697,148,618,482,413,974,065,164,822,259,422,
803,901,677,271,168,830,125,649,087,815,951,470,745,028,273,572,802,901,107,
120,656,049,874,317,146,884,702,264,152,899,565,425,452,947,069,628,298,028,
478,486,630,303,432,548,757,661,850,477,634,709,863,502,990,376,178,113,344,
755,268,786,317,349,114,098,333,879,578,433,165,956,896,066,794,795,873,946,
136,929,528,673,796,759,666,020,578,524,452,616,866,837,440,210,026,395,337,
520,688,779,848,328,207,006,212,982,313,049,531,613,172,576,567,760,181,206,
727,302,935,831,704,268,605,104,800,456,982,458,538,707,758,902,969,772,773,
932,532,781,951,184,635,966,107,562,992,635,685,012,984,137,400,141,748,422,
013,319,040,604,344,014,520,148,217,542,957,895,397,493,308,605,091,144,475,
054,805,924,027,805,115,410,636,164,957,559,663,890,355,381,078,679,569,056,
865,104,832,154,853,972,781,413,513,408,211,535,182,226,545,701,104,676,812,
498,124,059,579,265,456,102,439,429,598,586,990,566,271,161,893,710,205,934,
315,787,938,175,442,662,905,974,343,928,218,472,386,318,088,420,643,697,817,
323,396,381,528,931,720,776,990,056,842,963,993,690,429,155,464,462,032,167,
941,184,538,585,457,575,625,019,352,673,586,623,381,484,759,676,708,095,388,
808,306,596,141,212,639,531,730,166,134,903,913,012,243,055,717,645,190,781,
651,448,067,506,717,092,947,415,202,492,559,432,752,716,875,304,526,524,047,
984,653,596,518,997,609,343,812,475,768,710,420,631,337,656,532,231,529,589,
474,851,279,156,131,676,063,046,488,248,789,969,016,895,118,949,922,275,241,
655,843,534,482,823,165,236,425,716,510,760,828,590,595,921,351,365,836,290,
020,753,709,534,351,331,740,326,583,761,982,793,769,502,227,957,774,802,195,
994,086,526,119,722,063,924,514,697,054,154,644,002,461,675,566,236,451,827,
197,355,162,417,965,552,459,383,371,227,902,555,925,502,285,182,369,052,726,
824,365,862,956,002,738,322,889,642,378,251,900,464,382,159,581,547,598,459,
144,219,832,181,062,012,769,701,375,947,268,842,721,721,818,465,692,055,359,
684,274,039,929,799,978,806,111,705,594,994,935,974,076,060,233,686,691,151,
765,696,859,183,109,774,881,962,472,424,820,949,898,819,599,138,894,112,249,
601,858,728,831,752,807,428,500,874,984,093,834,963,796,019,647,572,689,414,
441,034,627,922,161,702,221,637,837,065,214,817,672,569,270,132,512,137,128,
086,605,552,533,048,227,680,890,909,223,696,866,849,860,135,197,436,714,104,
580,035,873,480,251,390,943,263,985,440,863,408,980,196,225,969,262,706,330,
492,647,312,747,938,933,374,891,914,007,932,551,367,208,512,829,570,073,428,
207,490,407,125,802,218,838,455,028,211,686,228,601,286,836,284,312,374,449,
830,920,907,356,763,726,011,304,534,337,611,848,489,378,794,955,133,041,049,
936,532,011,456,734,965,103,334,716,907,479,286,343,297,139,914,638,680,119,
688,587,409,917,217,664,871,368,561,321,713,712,857,364,071,775,558,797,851,
295,015,536,547,228,172,216,276,173,117,426,268,464,033,570,671,281,929,724,
718,019,088,507,902,013,626,202,696,780,608,377,758,108,691,547,297,405,458,
190,936,429,687,227,187,076,920,991,468,214,961,010,481,966,994,196,056,433,
802,069,570,857,228,223,476,814,350,808,221,504,935,130,360,327,405,858,637,
342,957,102,197,452,392,104,416,705,209,757,091,853,282,155,246,811,886,773,
916,509,060,056,988,877,438,031,562,777,737,065,807,769,434,225,329,586,234,
218,117,890,153,673,913,448,122,307,999,865,890,484,139,261,591,325,278,693,
774,037,554,671,963,071,725,948,088,052,966,814,679,253,768,478,638,198,272,
947,935,911,859,175,938,889,350,848,082,317,346,465,084,211,744,571,093,454,
128,612,989,762,459,263,427,428,869,550,950,673,653,615,984,237,392,799,973,
424,152,203,940,885,150,928,697,816,017,596,907,406,789,581,570,574,209,333,
838,238,912,672,323,117,044,847,851,232,851,728,748,787,435,664,994,523,512,
661,735,147,798,191,985,636,414,294,714,868,982,264,415,668,012,160,712,268,
724,495,112,445,043,892,698,106,767,824,139,817,013,869,302,759,709,777,024,
612,795,935,079,555,751,369,488,827,322,816,286,196,665,144,983,802,778,805,
684,927,089,919,129,252,982,198,077,217,107,151,120,003,177,829,451,755,897,
892,543,681,623,929,464,097,209,936,637,766,815,905,959,836,743,537,348,693,
472,689,289,142,846,762,714,126,281,773,753,871,682,225,669,836,925,705,992,
298,259,540,122,961,521,500,683,334,889,822,559,252,315,657,990,817,296,913,
255,436,181,710,109,910,237,905,197,771,636,417,722,658,271,438,028,987,722,
681,405,932,597,524,393,214,461,836,693,496,891,122,544,440,392,462,256,807,
179,596,602,628,262,383,925,788,410,787,993,538,541,933,749,707,959,399,668,
723,584,694,827,376,513,495,843,966,898,434,209,865,646,336,311,582,813,570,
436,342,060,649,774,591,889,810,995,897,816,050,494,892,547,991,837,148,896,
294,887,292,747,363,621,647,291,959,912,734,531,563,287,827,143,926,813,203,
896,946,198,841,911,579,156,270,406,991,691,981,946,570,059,677,150,881,182,
276,688,213,062,867,946,126,126,184,452,740,881,702,898,174,122,090,042,231,
399,274,421,893,195,735,087,878,224,149,540,290,197,557,253,160,724,664,954,
112,438,283,335,535,570,406,227,738,918,245,604,294,689,093,989,111,278,106,
807,528,431,118,772,166,953,179,565,386,636,233,705,062,382,708,124,735,255,
171,387,573,427,362,821,472,416,160,021,119,243,247,759,113,325,930,065,392,
213,586,646,304,332,320,987,650,732,246,401,934,953,376,462,009,985,405,955,
703,487,032,701,355,751,704,041,859,392,893,989,377,245,528,503,956,058,366,
083,463,903,041,438,271,082,189,387,136,555,059,548,432,646,801,907,698,739,
953,752,066,524,713,691,058,300,978,711,315,059,898,234,712,644,469,834,679,
437,971,003,223,591,554,029,230,550,628,267,929,222,502,918,324,867,033,310,
563,232,961,967,498,371,168,440,678,223,815,049,467,660,096,727,872,529,967,
354,047,125,548,170,503,596,840,649,107,603,459,186,031,510,912,556,856,049,
996,827,641,252,173,684,312,233,444,199,898,469,485,992,183,615,768,055,543,
780,945,155,770,264,644,965,839,663,565,282,181,212,738,714,687,423,763,758,
131,280,259,483,073,906,864,548,742,988,233,035,575,524,627,791,676,988,763,
131,883,860,142,039,082,078,747,641,399,511,529,347,286,448,895,102,183,378,
961,924,611,632,709,545,469,140,096,995,078,391,388,368,641,822,702,738,861,
199,996,551,021,439,468,990,887,274,774,457,100,886,018,160,068,686,908,700,
052,896,085,674,623,812,357,426,723,145,793,777,871,017,893,461,301,228,324,
234,463,227,573,910,867,044,586,980,137,616,114,821,131,949,811,023,985,728,
185,904,984,744,845,707,025,487,786,995,581,883,701,716,293,038,399,367,770,
905,106,360,158,182,025,083,662,839,437,677,801,766,872,777,914,962,773,976,
367,215,324,366,512,160,510,080,780,605,045,105,500,741,303,889,405,916,721,
427,449,212,864,556,711,412,669,100,883,467,239,088,596,559,295,616,836,548,
283,512,983,450,195,207,728,697,604,424,766,324,583,864,606,103,029,018,966,
132,909,189,579,505,733,318,423,507,046,087,434,886,503,095,395,569,523,245,
853,174,749,469,489,458,126,456,871,459,060,512,837,074,063,072,562,341,770,
972,272,940,581,730,431,653,648,889,719,913,345,289,852,572,620,433,189,346,
813,855,185,078,523,407,769,820,857,793,957,304,340,395,692,708,602,120,493,
676,081,139,587,758,583,578,470,292,424,451,242,779,916,515,582,891,219,459,
206,753,289,165,103,841,158,983,947,382,791,491,787,291,202,879,039,068,523,
305,642,383,258,667,108,764,529,850,374,264,114,666,068,596,988,613,344,145,
825,547,845,569,066,185,877,970,124,350,058,262,961,563,616,668,784,350,286,
775,348,189,607,134,826,634,361,442,805,773,165,002,828,334,666,423,538,714,
760,388,817,439,417,569,578,970,806,523,332,984,226,291,603,232,124,211,481,
255,238,637,108,726,473,093,821,098,301,424,367,746,900,427,148,706,057,846,
380,876,108,444,084,250,820,601,273,082,974,089,355,202,197,196,306,829,597,
376,151,539,766,869,093,405,979,352,963,158,487,708,890,992,289,504,843,907,
876,002,722,578,515,271,469,015,929,601,592,418,741,521,674,867,623,182,388,
879,167,832,907,465,766,326,546,617,460,544,935,239,565,116,533,226,882,802,
074,944,067,066,510,964,321,370,023,535,184,824,730,343,302,741,513,357,378,
152,845,558,497,706,736,345,657,546,474,109,228,032,156,364,056,216,331,517,
706,517,331,905,043,326,276,774,222,300,226,945,357,023,078,885,184,078,792,
209,391,533,092,885,194,314,125,410,052,402,426,100,724,672,860,295,994,819,
560,561,577,814,348,024,485,283,250,094,606,410,762,364,512,894,771,566,608,
236,780,774,999,056,162,572,031,922,049,926,100,885,081,103,625,413,202,254,
040,501,390,160,252,440,727,896,316,359,926,060,068,197,176,045,171,549,446,
654,607,134,752,554,046,681,924,354,029,035,758,139,228,296,381,303,621,267,
113,415,032,887,204,398,713,266,969,492,781,204,829,494,922,129,899,943,385,
584,208,063,865,172,768,451,178,874,039,472,437,978,977,722,395,538,295,415,
595,560,642,491,376,301,988,348,762,667,603,275,172,665,825,539,002,595,181,
898,509,662,013,355,387,707,723,209,932,802,494,552,513,924,467,003,396,251,
925,804,836,805,343,874,132,233,906,997,291,347,623,808,147,006,870,160,747,
095,585,253,406,099,896,726,929,978,967,430,159,944,918,351,902,515,824,332,
573,444,438,449,957,476,851,195,888,868,540,033,255,199,596,893,674,113,156,
293,868,286,051,667,509,595,391,039,131,256,896,931,222,368,314,221,274,168,
358,310,099,260,262,092,426,656,199,673,683,619,806,626,247,275,431,483,946,
208,787,334,541,402,998,367,446,899,064,144,216,410,736,057,646,042,989,193,
111,159,240,229,173,551,543,288,825,659,782,877,249,648,908,457,913,623,291,
800,109,187,252,165,457,944,656,974,626,125,018,833,139,847,048,472,193,197,
435,481,114,747,445,709,557,255,412,760,766,441,039,393,033,016,180,648,921,
059,386,178,675,073,558,873,254,251,689,593,159,121,192,760,846,843,529,992,
990,969,712,279,927,875,299,142,397,215,103,844,047,221,272,733,354,667,316,
907,303,610,895,308,420,684,124,743,392,844,915,546,214,148,831,723,209,570,
386,631,885,104,511,598,899,524,376,913,751,686,454,648,249,812,020,549,809,
584,463,284,764,549,644,371,859,568,537,977,647,301,195,184,288,257,061,035,
603,736,253,960,944,188,291,760,787,824,239,812,230,732,552,461,845,982,208,
172,852,077,488,787,025,434,024,136,880,114,412,119,366,233,260,093,357,643,
205,139,569,385,303,497,790,914,008,242,970,340,346,320,156,167,334,235,413,
346,746,288,422,434,861,902,981,513,864,718,561,047,978,370,166,482,766,825,
393,036,116,584,057,566,132,422,629,852,763,427,014,316,544,761,258,843,587,
675,992,669,950,904,832,499,674,893,347,714,067,862,015,525,241,696,012,239,
166,923,400,212,838,350,314,730,770,147,039,603,430,114,115,003,272,708,976,
410,736,053,168,042,762,745,041,674,790,331,812,296,610,323,217,048,253,870,
137,950,853,838,435,932,781,349,353,678,145,308,947,897,801,726,716,929,522,
702,363,483,925,468,027,613,127,778,234,261,940,043,013,370,088,502,334,380,
651,202,248,901,560,957,347,299,716,210,310,178,081,674,336,063,019,919,490,
866,180,094,436,867,969,155,990,051,388,444,949,024,497,423,901,761,957,829,
423,616,035,867,273,035,641,193,936,104,276,075,203,248,814,871,022,188,463,
520,781,462,066,594,536,977,907,558,611,622,454,099,469,738,794,428,229,838,
269,961,941,401,292,111,384,056,218,540,305,615,749,709,253,333,331,269,571,
428,125,588,036,307,805,295,529,332,784,516,651,835,746,681,567,913,832,339,
273,328,448,947,232,136,898,949,780,106,007,359,176,858,833,183,265,506,009,
008,761,569,921,128,419,124,166,721,922,355,691,931,541,562,577,886,098,899,
457,678,588,805,629,395,341,571,989,796,198,490,496,008,854,269,937,602,291,
956,343,899,724,180,672,303,146,552,138,955,862,899,268,555,545,682,416,188,
610,520,620,404,944,386,002,098,751,260,398,475,131,730,042,780,399,769,366,
768,690,741,342,325,309,306,520,926,152,003,268,931,737,801,891,165,631,025,
755,915,572,225,808,454,322,693,433,425,328,415,470,797,358,099,755,314,011,
738,369,926,794,193,397,091,604,919,272,677,857,631,858,709,974,178,412,222,
728,210,982,890,906,867,382,215,476,273,028,974,990,154,106,967,764,976,036,
553,374,286,041,820,510,975,587,985,851,800,192,371,907,204,887,134,764,263,
927,397,798,235,621,149,555,882,221,232,917,066,633,476,503,039,367,358,302,
623,510,915,178,153,985,305,320,392,272,550,806,401,936,335,529,236,118,471,
840,418,785,945,073,745,321,888,504,025,987,345,801,104,814,860,825,760,205,
642,842,410,934,423,930,429,466,845,024,372,129,338,531,196,019,127,655,849,
137,380,597,842,145,048,417,339,392,592,752,081,825,064,115,641,345,855,845,
750,906,895,732,289,013,112,222,479,934,775,062,094,483,772,649,452,644,421,
237,018,081,082,681,089,163,343,625,775,478,057,468,203,644,172,531,955,384,
781,399,070,697,744,590,761,497,846,382,697,208,249,724,632,997,515,504,067,
334,725,798,524,744,907,168,082,394,285,116,494,530,065,550,232,290,562,677,
005,936,950,656,124,020,726,828,979,428,957,740,124,140,075,488,418,939,445,
399,238,085,545,529,322,095,865,394,143,466,031,945,859,188,465,077,691,238,
387,093,363,919,151,631,067,094,575,008,763,654,386,819,925,164,342,444,447,
883,656,443,404,547,456,686,768,437,630,099,140,393,127,896,404,203,555,649,
160,317,104,951,330,904,097,917,457,106,386,062,374,266,522,708,671,751,763,
187,599,228,953,217,307,374,117,152,612,168,794,541,828,774,164,295,793,069,
117,896,390,384,364,223,041,565,282,883,475,709,551,098,714,684,416,787,874,
376,346,504,652,089,574,020,341,881,393,350,900,691,684,932,204,465,600,024,
330,584,174,938,438,576,473,347,687,690,816,627,465,473,444,315,620,405,635,
640,721,224,603,701,366,378,557,953,842,991,857,273,703,145,003,169,239,185,
888,000,915,452,739,854,432,688,026,776,640,333,628,509,354,314,365,902,192,
377,838,661,392,531,891,074,101,269,805,092,624,648,477,994,391,624,038,020,
961,582,433,220,373,857,642,469,950,110,882,825,192,999,394,834,375,898,638,
484,570,865,808,461,868,386,904,794,893,207,921,581,106,016,913,546,895,355,
373,889,953,144,542,751,111,501,325,051,620,777,847,957,027,774,603,069,246,
292,770,481,448,468,930,376,819,766,781,134,627,033,804,606,792,199,170,933,
806,488,648,602,801,396,715,625,508,930,169,496,004,161,487,214,060,675,020,
346,555,433,095,481,086,666,036,715,351,910,206,514,384,131,366,102,206,419,
747,920,777,074,108,123,484,280,940,436,950,694,158,368,577,543,781,479,795,
172,763,562,673,937,137,899,394,073,014,747,358,138,837,692,611,892,200,834,
310,623,756,295,488,195,300,690,862,300,775,913,942,835,120,135,053,312,909,
839,655,554,584,348,042,190,528,935,015,431,820,000,911,631,549,911,015,935,
408,797,323,465,218,941,210,240,998,791,129,062,851,271,236,243,139,167,384,
469,794,439,739,378,473,140,137,542,154,679,620,536,609,778,221,432,942,582,
444,182,076,492,506,537,955,256,192,810,812,519,541,814,662,526,047,647,916,
787,913,622,522,203,257,196,132,900,124,059,637,897,898,364,843,282,232,319,
842,283,645,826,966,084,051,212,035,644,482,191,444,453,697,044,095,604,556,
415,943,375,486,631,174,575,568,845,653,227,418,591,260,824,480,635,908,131,
802,425,045,198,007,764,818,674,903,859,944,727,394,464,049,859,855,404,306,
626,257,727,961,684,642,128,328,475,530,601,111,616,784,964,926,708,800,080,
615,347,738,691,812,138,056,567,920,886,475,901,463,377,261,946,293,998,379,
408,328,187,066,305,226,524,027,770,272,583,028,952,831,979,504,204,309,856,
498,129,360,163,352,343,550,976,681,916,382,030,615,829,553,770,877,810,062,
821,545,936,750,731,782,526,449,370,277,160,518,266,042,315,647,888,108,314,
403,080,233,078,795,018,998,776,998,262,993,330,698,737,746,017,199,586,190,
399,300,028,978,539,708,869,669,899,591,597,059,071,840,778,587,626,643,732,
045,066,972,603,805,697,331,966,878,434,212,242,797,763,576,887,003,899,937,
411,929,842,523,807,077,303,627,579,038,008,080,848,443,026,832,930,128,089,
720,417,965,404,570,137,577,835,190,500,034,988,217,375,098,422,166,653,839,
488,484,776,934,987,363,602,217,905,929,588,000,105,621,617,267,142,767,923,
625,021,563,585,786,551,830,713,218,860,098,626,699,528,956,411,035,049,671,
906,317,339,014,303,460,317,488,403,446,505,179,822,926,122,328,269,038,692,
692,116,615,295,614,148,111,590,447,013,397,766,472,338,980,088,015,151,410,
860,768,248,375,933,010,508,005,232,565,511,355,939,608,872,237,770,901,756,
751,251,453,036,049,939,826,913,982,134,569,857,742,440,587,622,312,281,503,
241,523,703,443,239,733,079,169,589,438,118,489,885,126,166,957,458,540,050,
719,260,831,448,505,977,419,801,106,989,641,241,740,666,615,451,499,217,131,
692,054,836,052,302,784,206,824,090,291,550,040,274,699,935,997,939,501,584,
250,633,873,384,273,017,592,485,319,552,965,090,369,242,364,114,449,380,740,
853,019,474,571,104,981,664,245,716,421,247,019,309,990,905,579,287,383,617,
687,429,497,408,775,124,907,995,506,266,772,243,070,181,887,613,133,942,982,
109,607,072,333,207,023,489,798,200,764,658,436,394,170,238,394,482,602,135,
557,348,316,701,768,067,134,710,165,390,898,322,727,538,180,997,019,573,432,
645,812,467,794,214,448,808,043,890,411,716,775,939,176,641,574,295,183,343,
374,234,401,236,036,708,462,854,554,518,043,033,212,409,292,345,906,889,079,
514,769,981,680,802,293,921,348,692,995,006,800,810,681,888,424,194,132,620,
079,299,469,559,638,840,997,764,086,647,682,768,924,884,591,061,132,769,429,
147,959,050,135,355,991,910,293,769,507,298,821,804,653,306,412,870,048,575,
591,772,466,222,647,493,328,234,466,725,217,889,794,162,657,209,091,222,553,
016,429,443,909,886,726,145,613,222,986,807,559,588,871,686,061,199,570,923,
697,175,262,791,097,277,765,872,866,662,901,101,458,898,638,167,887,774,173,
268,773,465,163,518,271,268,266,875,171,091,744,605,132,695,729,411,765,847,
117,234,001,508,772,115,801,727,976,833,817,328,248,111,899,027,672,816,612,
318,741,470,784,046,069,769,323,541,074,260,129,692,170,184,193,152,463,303,
712,321,217,420,529,599,547,194,634,476,966,512,317,969,955,050,702,365,010,
957,502,253,652,544,737,256,183,516,876,089,249,677,963,045,000,752,853,096,
713,941,912,695,406,364,182,808,900,590,995,035,654,247,160,576,243,042,883,
639,689,385,877,975,973,281,723,077,193,669,199,459,493,355,468,462,824,967,
706,683,616,152,904,932,795,773,458,652,005,333,182,925,467,826,807,619,382,
513,201,877,639,840,032,154,671,983,538,205,518,225,916,984,766,743,420,032,
665,798,214,803,243,249,970,263,148,769,274,404,448,546,094,034,015,270,166,
351,744,059,749,368,532,062,460,818,665,576,174,547,191,842,155,111,607,495,
938,368,606,956,698,039,669,545,117,750,479,716,364,843,635,244,411,802,337,
506,115,618,140,154,062,328,590,448,107,802,662,926,628,219,709,056,749,355,
634,970,688,215,498,400,600,231,532,836,797,973,380,653,577,138,350,889,406,
810,843,043,819,121,280,588,949,393,590,514,585,186,888,337,372,244,658,521,
977,658,623,332,631,665,598,242,074,268,359,086,883,212,601,072,384,759,825,
500,477,334,411,461,156,248,029,824,726,758,628,491,200,060,675,881,369,797,
976,336,133,125,977,801,849,376,312,664,799,804,239,236,230,286,238,608,333,
623,871,732,813,946,497,548,606,297,146,605,031,850,186,831,318,880,457,250,
507,714,545,508,884,490,452,905,671,328,981,227,973,281,942,567,208,090,458,
716,477,119,296,836,442,593,856,281,804,253,474,319,689,952,794,381,270,468,
459,072,155,756,148,387,829,399,704,569,091,108,757,934,898,813,797,463,015,
603,288,636,475,425,917,852,976,125,273,014,683,765,821,432,887,987,065,533,
631,547,123,026,328,308,514,515,863,131,750,204,646,427,258,591,972,144,440,
368,972,841,031,413,776,331,101,786,377,053,178,172,020,580,972,567,512,234,
974,647,182,362,655,546,769,066,067,304,810,507,988,000,643,665,432,741,579,
233,182,207,061,364,085,577,590,012,301,534,803,482,562,275,275,986,616,137,
995,471,379,762,471,262,082,654,651,247,031,200,387,535,980,109,394,526,069,
056,382,806,104,496,821,052,970,917,265,568,010,495,389,342,998,721,307,732,
968,272,059,557,495,060,426,040,465,591,937,361,196,134,452,159,741,072,758,
363,806,182,096,481,132,393,698,266,910,374,348,325,310,981,095,189,093,518,
853,447,951,485,417,027,846,057,823,903,037,279,378,593,284,351,816,446,612,
909,666,127,800,559,093,066,196,813,712,446,917,183,970,376,427,355,545,254,
270,542,663,549,037,319,048,488,748,902,732,541,355,203,303,667,245,610,036,
632,514,874,695,598,251,311,069,123,638,479,036,379,387,218,126,460,701,312,
238,900,768,006,560,439,490,591,718,210,777,085,983,141,157,272,841,137,572,
928,902,117,665,367,644,072,507,424,084,954,848,206,735,146,268,545,159,177,
671,796,057,581,404,030,100,151,289,514,014,538,083,806,434,888,892,575,699,
156,495,344,787,907,408,323,482,727,171,150,000,184,675,642,556,139,722,425,
360,437,609,446,327,189,084,868,788,784,150,254,662,808,390,431,378,587,468,
110,800,198,305,799,569,853,224,963,514,273,009,429,166,690,243,449,554,280,
916,902,255,154,935,559,637,374,462,094,272,865,809,791,158,026,456,018,956,
463,865,286,613,963,239,701,074,424,235,335,118,628,968,731,073,057,906,417,
758,342,061,877,460,361,354,932,130,115,336,537,012,585,272,921,368,198,216,
005,374,401,044,488,503,513,952,001,471,942,429,674,019,876,076,554,923,060,
309,620,684,191,319,173,820,678,472,015,091,189,434,837,825,925,038,343,210,
994,438,005,718,673,464,191,892,197,655,858,268,033,441,421,339,708,924,521,
762,474,982,849,048,514,950,724,630,663,900,575,450,207,874,239,549,053,871,
698,126,746,779,908,836,023,586,826,773,169,626,009,972,900,190,422,192,407,
129,849,986,062,814,989,296,337,011,409,811,496,579,026,297,993,930,190,599,
719,465,453,092,024,636,283,630,132,816,815,847,035,225,435,085,872,706,487,
202,283,308,018,443,551,977,184,810,289,959,427,321,232,810,310,594,907,812,
778,513,808,451,025,834,405,943,095,238,197,011,916,990,489,339,747,477,817,
508,529,174,645,298,695,848,156,483,688,631,133,828,815,502,717,038,634,154,
325,563,530,277,917,630,736,414,694,230,519,222,345,843,686,754,248,778,866,
938,248,538,844,451,094,565,921,774,687,991,673,893,920,054,539,710,047,912,
469,639,557,825,172,306,632,096,939,686,788,205,577,990,347,581,240,335,977,
684,564,365,468,533,805,524,469,546,918,560,969,927,301,387,334,907,087,522,
919,933,009,579,067,002,438,700,054,637,089,104,513,619,968,692,927,196,772,
017,148,727,694,482,099,226,278,895,987,373,362,633,694,312,526,210,179,729,
992,867,574,543,775,697,682,444,383,042,370,371,920,255,684,785,258,478,984,
404,378,183,392,199,425,415,941,836,559,767,110,297,742,700,907,739,122,171,
696,116,001,994,469,834,287,961,380,071,700,521,329,599,343,980,024,520,112,
689,211,643,531,520,227,595,994,068,783,766,425,071,963,897,624,843,080,830,
930,479,240,376,606,203,178,976,460,632,626,582,967,154,984,852,707,327,075,
304,922,435,076,378,596,026,937,763,983,134,324,769,894,548,586,886,722,805,
220,138,438,284,144,253,923,516,291,648,641,120,626,250,996,899,612,277,441,
358,176,128,297,963,318,347,947,183,822,442,387,569,044,429,430,262,178,146,
903,214,392,535,295,666,735,699,072,085,198,825,397,883,991,444,514,642,162,
978,783,332,113,969,888,955,388,399,103,457,710,195,837,935,511,544,811,448,
588,985,072,550,325,025,899,207,605,165,615,742,222,589,651,596,381,991,115,
468,591,605,597,554,759,840,456,787,210,428,331,477,241,442,231,886,813,475,
872,742,989,291,866,030,170,223,968,606,268,988,855,254,020,571,495,805,615,
094,049,515,792,191,063,398,170,962,384,807,610,470,769,925,878,935,455,096,
474,859,698,697,501,452,767,562,306,568,347,830,307,146,964,623,012,611,322,
730,021,575,182,314,047,538,562,895,866,672,947,208,871,148,717,934,569,481,
011,839,576,997,293,779,764,160,392,923,317,112,039,556,729,023,893,567,427,
504,118,278,709,075,538,516,676,676,015,437,447,501,152,864,813,544,943,307,
832,855,499,660,356,911,581,008,741,910,775,441,601,641,025,943,245,723,256,
529,723,292,999,502,507,865,246,096,436,848,705,306,906,175,500,533,859,897,
695,708,518,490,629,697,468,975,002,809,462,055,210,143,418,876,364,059,479,
072,318,151,456,686,509,276,854,264,457,103,262,818,793,831,057,409,510,441,
008,535,540,651,066,012,944,828,510,449,705,769,723,022,934,012,293,821,371,
112,186,609,747,068,883,866,563,989,501,696,343,037,411,169,293,894,129,665,
653,571,990,222,239,347,098,703,673,538,240,388,235,476,313,446,171,433,643,
728,803,604,044,641,006,626,947,306,606,651,345,569,146,957,486,007,140,052,
026,134,666,219,383,029,571,758,245,868,861,871,434,298,226,182,937,586,181,
025,184,322,544,297,871,089,429,162,359,349,186,692,186,229,669,432,186,434,
799,856,686,251,077,104,615,462,298,901,169,463,953,851,728,973,687,136,715,
202,769,037,305,439,773,242,319,311,599,634,056,684,583,948,488,206,151,340,
064,061,993,097,348,341,572,031,599,230,455,162,841,256,779,340,604,586,805,
982,608,319,570,556,244,256,064,943,915,585,088,271,466,221,283,916,290,161,
115,449,539,300,856,997,193,779,803,907,760,787,632,058,345,471,280,222,353,
721,134,126,882,168,370,595,208,296,038,991,972,416,639,922,874,758,449,952,
330,465,185,448,477,656,564,420,503,518,804,737,087,453,240,919,757,163,570,
265,135,386,317,432,417,625,266,218,414,173,634,158,009,736,937,520,648,510,
769,158,919,314,708,593,748,419,930,501,000,600,879,870,531,197,222,920,068,
230,512,028,742,605,253,555,018,397,033,422,554,473,939,175,450,869,519,348,
501,984,415,917,585,346,053,715,829,205,087,333,800,121,554,642,177,635,910,
940,986,585,164,867,292,891,672,929,542,511,398,768,090,801,739,012,531,151,
018,252,977,674,771,159,287,083,586,320,857,987,031,011,097,362,691,706,946,
988,050,835,020,510,331,390,792,871,197,338,143,431,610,448,008,973,758,605,
100,540,385,247,133,178,940,809,994,430,007,925,032,424,054,405,801,991,421,
848,752,052,752,148,003,313,591,422,289,896,728,535,307,811,457,678,901,907,
727,529,963,213,925,544,290,918,853,671,485,545,281,363,795,182,108,451,470,
924,808,746,288,406,738,499,109,055,547,862,521,396,523,491,829,511,886,782,
709,351,080,292,037,722,458,272,207,112,417,964,531,256,037,451,305,099,030,
742,813,136,761,997,735,249,986,030,020,626,298,776,968,407,808,071,994,587,
210,621,941,568,148,452,265,284,207,579,432,174,058,078,902,898,893,568,981,
997,311,168,244,325,502,485,528,341,893,944,069,079,540,976,042,647,668,759,
559,547,086,747,345,113,348,368,354,817,802,006,602,449,347,611,577,117,294,
652,021,420,991,667,556,085,230,376,571,202,493,691,549,219,758,375,866,793,
808,851,204,264,791,082,602,695,762,304,716,565,263,045,104,648,103,967,453,
974,967,388,510,798,828,260,610,090,977,354,119,945,785,246,324,258,987,043,
344,756,335,923,623,989,966,414,658,639,947,552,720,510,201,307,021,171,899,
128,906,352,646,407,343,154,339,591,615,472,834,012,407,613,726,029,264,020,
621,567,460,056,313,245,762,088,904,446,076,062,966,225,159,871,967,866,293,
882,560,981,516,508,820,329,888,935,030,934,948,034,501,190,088,009,714,765,
699,737,235,600,914,828,280,532,348,964,079,609,547,761,751,945,291,594,506,
191,901,727,061,520,956,402,069,523,909,514,775,039,505,006,332,971,574,500,
169,586,881,174,239,048,655,439,316,850,935,496,063,651,105,394,853,877,443,
035,493,511,359,564,613,591,694,526,374,129,198,862,200,232,923,623,771,744,
932,808,315,396,212,217,140,333,458,819,783,596,383,340,554,540,458,540,815,
288,700,421,396,284,276,299,345,568,012,938,991,964,233,423,486,058,499,288,
577,696,757,378,679,392,812,968,360,499,625,243,969,977,354,645,642,451,020,
722,806,390,996,480,895,630,267,574,111,246,159,019,844,807,044,146,904,754,
198,460,613,826,716,988,676,601,040,005,646,293,502,556,067,679,757,231,462,
035,341,274,805,795,799,403,571,382,098,246,020,508,108,695,677,708,934,463,
927,647,439,061,850,590,152,360,195,486,325,572,996,228,067,329,406,700,138,
897,194,652,484,452,898,974,135,692,559,275,615,815,929,629,672,364,937,804,
776,644,207,481,537,625,957,957,877,624,242,080,315,936,408,351,896,978,207,
105,261,155,710,254,286,679,901,406,781,883,131,545,476,554,872,001,134,367,
962,663,446,017,939,696,332,250,593,639,487,026,425,741,437,728,707,556,253,
843,512,444,243,065,530,030,193,308,212,629,504,055,580,651,741,593,159,588,
191,313,018,994,246,052,317,389,166,494,613,445,942,144,455,528,398,820,819,
431,854,206,573,280,420,636,471,605,527,211,892,343,254,122,504,186,158,866,
500,853,233,648,336,302,804,424,367,615,196,050,572,529,755,398,157,548,597,
902,605,386,196,105,127,269,987,882,047,990,662,099,488,085,253,013,186,505,
965,403,098,441,391,268,621,138,160,464,684,909,307,519,278,469,918,315,456,
843,572,412,382,745,400,528,602,527,953,552,550,227,581,459,845,427,857,003,
165,459,897,996,695,734,328,997,075,936,697,098,670,549,298,577,821,350,156,
388,817,741,083,258,091,522,051,599,014,290,110,449,410,586,506,007,435,434,
308,096,221,220,490,734,548,847,656,249,354,544,795,636,533,673,442,186,941,
983,632,731,106,773,117,425,223,557,006,458,195,440,228,414,508,256,087,382,
197,331,920,746,506,733,191,023,355,881,881,945,882,222,404,705,436,261,616,
620,113,306,343,206,125,031,844,450,861,198,897,151,584,621,054,810,492,960,
199,310,853,993,322,111,518,964,089,741,251,801,965,642,495,624,926,116,296,
407,505,662,880,808,868,464,969,710,455,962,087,317,747,841,965,935,852,344,
703,786,485,778,107,454,628,304,497,922,533,834,061,593,723,616,632,976,493,
238,228,008,947,801,823,554,462,012,140,829,032,204,028,186,565,747,462,473,
959,041,434,725,526,862,307,127,012,111,329,405,457,082,759,810,266,280,131,
391,828,523,698,114,415,181,267,821,272,521,866,884,356,594,526,595,968,214,
395,226,492,590,177,489,179,495,406,559,034,042,409,843,282,190,630,851,014,
407,939,767,109,038,860,782,761,384,871,006,113,965,927,092,454,581,478,005,
472,827,281,625,873,572,917,458,295,724,551,481,935,001,465,158,017,774,712,
658,378,722,295,392,445,481,977,957,724,413,539,664,500,178,854,130,875,554,
573,709,596,976,382,239,327,746,550,028,881,274,899,374,997,274,925,195,931,
330,517,282,928,152,325,847,009,041,289,233,572,205,788,873,884,503,601,264,
053,282,749,263,331,558,917,020,165,233,100,748,024,920,487,850,516,753,769,
376,643,642,365,328,190,521,126,431,248,182,510,293,691,093,625,266,474,690,
407,010,336,661,874,795,873,746,422,546,614,491,349,973,028,500,973,773,506,
469,191,321,824,401,111,105,930,202,294,297,161,317,133,022,874,444,306,086,
710,145,666,994,367,871,837,617,805,766,158,059,388,760,424,229,050,384,868,
748,684,580,441,693,128,964,244,218,811,235,219,610,832,140,885,527,759,403,
312,049,518,170,222,436,096,510,216,556,206,818,434,114,202,886,184,691,003,
796,208,714,034,492,120,600,159,924,097,064,463,724,199,611,345,235,819,966,
734,734,629,142,304,697,864,281,436,622,702,512,192,945,060,505,624,565,683,
687,938,198,007,156,546,901,843,529,137,617,044,845,546,210,432,352,794,258,
482,628,234,350,980,647,993,055,305,575,955,639,768,284,218,658,099,449,262,
456,699,835,616,127,865,976,090,978,168,414,159,802,189,292,957,896,153,644,
446,758,031,179,932,971,108,189,847,785,429,750,262,566,378,948,434,080,626,
082,723,506,735,081,933,104,338,115,800,834,764,304,543,481,156,265,180,896,
279,491,961,309,034,261,950,108,268,531,157,093,678,511,231,539,241,696,603,
467,272,740,250,890,769,546,062,699,343,151,395,344,575,791,012,996,353,989,
963,766,177,546,066,167,694,596,823,837,428,696,097,487,118,346,676,198,865,
257,742,845,770,893,014,523,951,620,140,878,004,990,930,427,530,696,152,079,
589,576,823,496,985,594,964,541,961,703,488,417,121,172,064,630,053,510,911,
131,210,885,759,464,964,376,694,672,426,332,047,075,952,567,467,387,114,389,
402,744,447,162,563,102,757,496,842,880,645,840,308,657,019,980,241,128,963,
907,287,205,771,727,236,933,896,126,391,698,868,649,430,667,719,466,680,736,
920,934,295,612,417,999,862,458,707,866,924,236,166,706,740,655,196,433,031,
132,320,581,779,232,234,515,526,728,971,904,484,529,531,279,931,463,503,474,
769,705,101,179,626,623,091,093,875,858,095,051,754,751,638,397,593,247,781,
778,813,424,430,927,673,297,804,937,013,151,009,677,350,348,498,471,726,094,
109,912,782,329,263,455,834,594,939,259,992,450,599,176,273,640,543,495,151,
804,533,468,826,312,626,026,312,089,573,145,698,354,594,484,297,729,428,758,
493,363,236,486,405,911,577,040,190,503,668,320,429,397,023,262,889,798,150,
398,183,368,073,562,319,685,902,880,451,184,602,013,151,081,047,996,280,942,
214,720,735,001,618,744,442,609,309,591,899,254,838,530,222,005,589,003,021,
094,689,914,903,803,066,205,088,828,573,429,918,440,031,268,497,164,013,250,
138,558,746,470,182,173,928,940,425,771,253,093,187,643,077,115,839,850,719,
975,739,532,366,585,729,349,597,183,934,882,898,438,027,889,107,403,660,014,
402,622,148,795,560,512,561,553,354,845,975,184,644,330,623,455,957,017,939,
966,712,048,138,486,778,361,209,437,335,069,058,569,109,926,706,030,818,028,
792,951,022,966,329,010,407,894,203,889,436,012,356,794,629,197,024,401,922,
546,191,087,857,166,506,718,606,760,534,537,860,978,263,256,006,970,665,328,
827,208,169,620,898,752,077,398,659,691,889,738,511,699,016,922,576,627,857,
285,612,802,917,624,963,572,132,433,782,461,825,229,408,622,551,426,117,350,
602,482,114,050,915,343,857,168,906,885,486,647,679,093,018,017,982,019,297,
133,454,656,142,846,439,077,728,932,377,589,239,913,661,437,196,325,115,105,
160,964,901,535,426,849,079,652,623,474,840,321,715,061,392,897,105,986,271,
747,110,305,396,228,404,358,024,366,253,789,647,232,491,079,236,603,178,407,
207,651,180,046,133,524,269,814,340,079,272,988,358,154,185,582,714,061,529,
762,829,755,723,253,357,387,654,071,970,084,476,199,951,818,730,673,486,826,
973,404,958,086,242,474,768,758,046,494,159,806,107,035,799,708,721,789,130,
634,715,782,578,376,312,086,465,423,705,489,720,439,381,492,256,592,210,743,
393,498,385,026,968,962,642,926,974,750,957,709,713,862,740,578,874,513,586,
075,043,909,080,292,513,660,549,309,400,157,851,097,732,318,380,685,693,567,
346,224,952,737,422,577,833,372,243,856,331,428,068,062,969,155,685,787,227,
586,441,441,819,438,713,556,933,346,334,111,836,065,016,795,317,628,225,846,
802,837,216,396,930,569,936,858,308,341,898,275,344,787,031,216,098,297,219,
923,423,410,953,077,590,586,094,713,847,922,965,151,399,443,345,562,829,010,
464,243,247,653,775,899,676,912,931,113,800,148,369,336,361,391,221,359,753,
452,964,979,676,611,145,451,614,426,269,333,095,760,068,275,720,620,132,419,
347,222,582,176,780,378,055,135,682,217,276,672,544,238,710,982,994,295,432,
658,845,165,526,747,204,939,684,226,189,645,174,088,008,751,396,043,993,062,
021,894,729,870,558,656,019,027,114,678,991,634,630,398,020,808,067,032,350,
736,910,497,241,055,608,852,075,685,870,295,273,539,670,222,122,638,439,438,
661,315,267,015,204,975,580,841,895,139,163,953,685,399,210,980,404,663,053,
306,290,340,620,569,805,706,344,206,708,221,111,040,635,823,259,118,653,849,
463,432,370,830,476,881,815,236,208,381,205,796,254,732,633,457,869,486,042,
704,590,269,534,289,722,101,385,972,251,883,436,453,086,327,624,180,907,194,
123,264,673,105,876,560,476,566,984,814,819,588,526,863,278,377,845,177,154,
774,800,315,731,790,285,856,615,092,263,720,932,774,929,419,838,077,719,918,
407,912,413,718,620,984,132,698,227,722,193,171,664,651,653,859,250,649,944,
832,248,306,747,351,829,610,190,581,540,681,749,094,996,363,640,518,551,682,
812,175,079,741,175,299,368,868,565,846,935,536,576,052,728,940,175,804,682,
906,119,298,315,769,038,563,984,078,884,145,308,947,248,673,787,206,406,687,
611,165,978,012,584,096,121,402,722,172,298,747,525,953,844,450,107,922,975,
884,449,748,414,045,944,569,829,555,041,112,894,243,072,551,097,218,242,947,
048,847,366,619,744,763,335,926,729,418,383,698,179,843,215,592,677,541,280,
452,117,398,726,503,083,957,242,624,453,715,862,693,477,954,531,376,055,142,
472,818,638,028,074,685,947,465,251,818,569,004,063,087,144,093,774,880,339,
125,272,779,228,492,589,196,581,081,878,822,215,501,603,261,372,818,616,345,
813,736,818,849,998,845,931,177,244,398,243,670,635,935,740,667,965,043,001,
653,395,303,697,393,771,338,380,088,134,212,877,347,655,237,749,271,686,132,
544,673,244,489,824,392,365,121,094,015,316,592,286,395,418,447,844,985,316,
504,352,563,828,528,984,658,130,683,771,048,023,035,557,524,078,412,591,177,
643,004,320,095,044,489,674,087,729,780,498,437,317,709,992,490,501,102,251,
454,908,886,845,047,589,483,321,177,078,075,429,350,535,838,652,316,600,191,
487,630,769,120,495,919,502,930,786,936,174,550,890,319,840,151,857,343,302,
728,366,744,654,408,078,237,029,620,498,647,131,877,156,471,086,855,938,073,
371,538,406,992,003,560,992,859,952,202,181,462,913,798,682,777,640,406,423,
469,040,284,992,565,749,638,456,571,618,885,607,517,464,643,766,925,082,545,
941,677,968,521,590,477,469,284,869,198,161,590,684,365,506,562,345,391,829,
387,988,687,701,146,894,576,591,320,117,275,564,499,604,789,167,972,041,269,
185,802,963,851,778,340,539,637,325,824,236,815,448,838,698,113,771,330,027,
853,199,889,295,801,500,814,895,179,948,024,260,429,849,754,641,556,242,769,
826,866,619,555,688,463,633,788,703,345,266,180,750,191,780,586,768,245,285,
132,224,308,114,010,640,156,747,150,055,936,995,051,941,625,488,238,007,634,
184,397,123,319,037,632,926,823,551,380,499,287,446,630,126,165,111,708,089,
364,771,536,588,287,816,814,438,120,664,655,247,718,783,134,931,775,514,108,
299,085,131,043,728,053,094,301,026,407,912,887,877,288,518,750,422,754,159,
493,935,272,283,199,169,421,447,527,532,250,948,266,445,635,446,197,897,960,
976,833,200,289,617,375,070,440,940,371,609,205,610,824,359,159,243,770,677,
967,254,345,064,275,709,233,958,771,705,897,941,677,028,225,435,076,935,726,
496,388,717,186,511,704,750,545,442,568,569,554,621,368,884,161,675,820,116,
661,348,404,314,332,914,728,611,967,439,291,208,655,982,598,605,110,283,094,
500,744,444,591,625,202,602,893,683,945,113,137,050,151,019,978,559,748,028,
259,258,099,529,227,565,211,898,014,622,833,003,923,032,676,238,587,989,482,
888,581,588,432,823,290,164,183,664,472,988,291,242,137,600,378,081,427,106,
255,571,211,987,660,600,220,643,134,995,421,515,269,877,475,972,266,878,714,
586,275,240,545,123,678,335,350,924,223,231,357,580,985,292,934,043,306,291,
463,644,580,221,277,343,311,861,958,956,411,789,965,131,442,025,835,786,444,
039,189,177,493,722,895,759,886,689,210,561,396,566,674,890,246,464,425,801,
550,692,474,762,186,613,401,363,908,667,496,098,990,025,007,656,218,923,748,
533,912,712,339,485,912,539,109,704,940,623,065,221,037,161,392,717,888,191,
670,935,813,705,243,645,207,952,837,622,118,676,072,449,932,908,333,928,707,
821,352,694,589,783,986,143,171,676,404,749,391,617,268,381,104,578,037,855,
181,006,732,265,710,560,396,074,594,700,222,275,662,998,651,979,218,916,558,
692,895,769,071,762,220,022,173,733,256,818,760,812,801,090,733,548,960,243,
645,275,253,395,985,078,527,887,301,834,036,275,333,874,992,858,496,779,804,
334,922,003,268,615,437,869,283,507,486,759,858,567,993,938,376,288,822,184,
279,906,275,877,388,310,999,960,074,063,663,828,175,614,382,697,832,278,578,
006,033,403,399,675,649,577,015,341,496,346,985,330,115,081,799,294,914,422,
596,939,859,950,115,619,798,488,551,899,725,220,162,907,897,357,758,575,687,
807,018,601,923,938,717,359,890,912,038,304,782,618,975,143,607,874,658,140,
195,876,553,609,162,076,133,530,301,405,102,440,626,638,077,261,298,566,674,
427,498,380,790,153,002,109,839,424,478,891,028,958,222,578,079,331,848,884,
792,226,361,957,674,750,188,570,686,715,920,960,835,620,233,347,817,450,530,
846,147,396,954,806,025,457,093,636,630,323,664,473,947,776,780,991,151,653,
268,779,730,280,681,942,839,408,674,519,625,440,277,209,191,028,372,751,264,
904,615,317,026,810,119,027,564,932,413,064,305,118,818,066,307,876,424,746,
690,937,037,834,474,598,038,047,800,243,261,125,350,505,153,453,181,138,145,
805,766,547,428,617,081,180,756,420,646,051,602,828,555,332,248,189,505,651,
196,082,598,090,207,566,526,488,107,166,508,769,987,082,792,467,478,503,673,
481,969,850,908,646,125,374,071,649,686,014,956,914,810,016,070,611,151,001,
741,787,647,788,310,909,262,862,150,176,723,869,288,487,875,760,734,380,764,
819,529,672,247,468,617,242,544,971,640,137,661,625,309,048,266,511,400,464,
848,152,472,796,567,576,840,838,435,831,371,041,878,408,133,368,498,337,038,
200,088,542,749,968,210,060,127,843,717,221,336,909,363,624,993,580,879,984,
038,598,517,688,203,289,261,050,919,662,040,217,793,489,474,231,539,037,862,
280,206,261,430,317,030,434,179,406,748,056,682,730,276,122,398,527,991,321,
269,214,931,723,373,520,459,014,424,627,047,934,157,178,237,672,682,271,484,
402,264,013,874,615,662,337,839,343,830,928,647,589,164,113,103,794,388,843,
835,225,807,180,417,676,765,881,083,036,041,258,137,653,775,656,021,274,110,
598,808,791,272,108,034,978,821,841,574,865,883,087,164,460,463,745,204,369,
588,972,022,237,279,667,680,715,428,284,247,552,550,785,815,254,853,625,263,
309,637,919,965,429,943,467,960,857,365,066,906,426,405,324,607,365,878,623,
556,318,741,389,758,529,957,335,860,300,656,015,701,413,015,553,633,937,731,
261,612,937,272,249,010,847,616,581,998,530,389,934,906,256,983,463,835,813,
184,714,644,491,061,481,104,870,845,125,315,784,779,302,562,796,488,713,360,
180,887,284,980,701,095,169,892,164,670,721,641,106,707,409,890,882,430,518,
998,054,976,235,971,076,256,628,797,116,361,898,318,899,934,164,411,573,929,
377,831,885,214,195,465,671,139,268,247,070,216,808,671,531,915,049,270,640,
164,278,010,802,895,673,994,926,227,369,816,546,015,534,105,588,678,619,720,
608,564,665,406,362,543,371,864,914,526,435,937,008,763,095,228,281,974,234,
915,274,281,799,868,012,641,633,434,006,219,166,326,408,923,394,553,015,332,
952,304,620,449,931,191,093,418,091,921,379,086,374,443,030,310,183,074,107,
277,379,535,726,838,339,608,288,365,888,274,201,509,335,721,815,846,130,828,
154,957,696,061,465,422,127,249,169,533,577,500,715,889,794,860,804,915,784,
443,250,914,434,626,894,246,724,832,947,032,319,858,594,461,627,369,372,566,
343,550,093,010,564,828,413,021,408,397,302,133,173,526,797,935,134,351,911,
514,652,839,047,909,149,361,539,776,990,644,014,577,261,662,906,143,522,638,
296,584,158,433,816,154,526,852,573,153,288,697,676,774,570,541,783,593,968,
157,431,974,294,510,829,751,638,613,595,100,220,437,367,643,964,572,347,329,
950,020,649,116,583,319,976,733,608,723,781,804,423,095,798,745,084,996,495,
190,852,287,899,476,673,292,938,037,075,623,487,273,796,157,661,172,523,251,
229,318,350,795,591,201,267,995,525,210,702,187,442,211,306,649,994,086,943,
021,156,398,210,055,105,038,377,745,847,376,679,074,809,457,216,984,507,103,
490,116,093,995,575,825,322,649,718,543,892,244,428,010,228,251,161,563,953,
328,196,704,605,717,521,188,821,377,672,037,544,654,890,483,426,749,896,355,
255,491,130,118,431,152,873,547,019,190,789,445,384,000,892,186,986,608,374,
198,135,384,353,552,080,589,900,193,842,442,037,523,073,215,210,453,810,369,
664,176,573,402,662,912,117,178,246,862,044,108,482,348,254,354,564,035,821,
053,251,837,611,865,919,676,262,953,611,808,082,492,641,904,023,380,253,665,
609,575,460,284,054,828,279,352,197,645,877,852,517,425,954,404,025,906,146,
054,748,751,719,625,632,643,771,958,711,112,245,717,285,494,285,584,642,142,
091,784,774,585,642,149,460,410,214,290,020,292,252,325,596,375,841,777,630,
004,653,507,932,907,251,968,536,241,250,219,911,092,466,040,552,491,054,971,
191,394,493,889,025,330,952,936,368,100,631,140,887,704,446,761,740,809,487,
744,917,469,871,760,882,823,488,584,269,092,053,788,284,015,680,819,741,311,
946,138,410,889,894,591,298,052,866,906,735,981,796,647,373,570,749,756,749,
277,429,508,535,126,119,946,328,905,291,546,875,893,097,454,291,328,841,006,
592,798,729,048,626,115,784,829,483,015,874,231,186,554,200,807,469,398,991,
125,080,321,902,104,514,958,718,292,971,343,380,764,190,446,203,270,048,032,
844,158,493,148,984,092,159,296,236,481,419,942,510,260,615,066,173,150,460,
554,644,445,634,359,049,149,135,969,564,008,858,721,396,632,803,361,942,880,
830,225,522,651,811,207,398,999,958,108,265,149,177,992,336,157,333,627,444,
922,633,454,378,670,833,891,484,278,862,756,520,993,944,647,706,006,835,670,
679,481,510,051,584,111,423,325,847,288,491,075,964,374,237,514,836,053,429,
850,638,949,667,074,335,023,747,709,263,842,411,469,700,807,811,577,142,890,
404,877,062,873,952,075,758,529,652,780,851,909,908,024,383,104,297,834,986,
199,529,954,200,648,724,795,228,901,251,731,518,862,174,073,417,072,020,851,
188,269,966,169,959,283,389,263,292,425,749,333,216,280,653,184,869,566,031,
065,563,798,972,111,304,934,667,029,602,663,857,120,903,870,323,682,228,710,
564,124,122,169,714,271,604,284,268,326,626,014,626,609,323,899,829,573,912,
186,751,556,092,587,637,747,803,737,652,542,560,019,168,455,695,507,078,157,
907,783,085,692,886,814,424,394,504,792,845,500,567,362,971,208,461,955,778,
746,250,331,016,008,915,478,878,325,583,940,414,195,450,966,371,328,662,236,
843,418,723,490,143,589,088,047,417,410,900,453,853,928,044,870,451,885,877,
095,531,191,471,931,871,841,253,721,257,625,456,952,352,010,867,410,977,318,
960,996,843,417,908,934,084,199,899,740,601,348,810,407,932,974,271,348,936,
804,686,391,586,134,003,738,501,493,853,115,683,796,654,001,593,463,438,192,
081,391,284,219,916,541,702,748,401,302,528,955,672,628,140,512,342,467,370,
045,188,008,891,851,246,712,066,090,608,826,518,699,218,823,376,142,677,653,
348,636,646,721,803,742,161,067,050,227,624,744,044,056,856,243,424,463,518,
800,434,655,379,750,319,710,256,638,049,499,266,525,029,722,923,405,342,432,
819,259,016,680,462,184,167,937,153,983,587,805,063,551,053,304,251,801,295,
246,478,147,848,590,411,766,627,494,700,461,311,550,534,823,934,643,288,689,
829,847,719,746,669,177,783,785,111,714,771,882,146,655,389,004,180,254,758,
557,429,414,586,329,532,983,575,268,974,094,584,963,128,252,269,023,894,799,
244,777,160,341,707,911,791,557,296,026,556,917,083,609,097,990,474,484,703,
827,836,386,134,100,351,235,326,294,655,865,396,384,795,030,944,852,466,519,
627,243,701,972,824,795,960,053,665,524,537,426,689,188,972,092,075,899,206,
276,832,325,765,867,651,049,718,313,206,056,017,128,146,195,454,291,222,959,
355,617,068,079,648,460,020,494,461,873,642,049,430,892,237,252,536,915,786,
589,273,631,609,582,259,786,749,042,987,226,468,538,377,391,693,177,123,611,
697,351,417,318,331,694,262,239,958,628,758,390,689,501,311,311,963,182,031,
197,650,959,781,634,789,822,204,555,641,964,593,089,341,360,036,629,850,509,
342,887,279,189,124,896,563,061,117,560,085,751,033,007,145,350,383,034,717,
923,475,946,029,059,339,470,834,480,160,640,823,536,707,079,602,774,244,056,
197,476,777,847,409,993,225,199,382,362,840,997,562,700,912,999,676,730,949,
803,989,153,015,003,334,081,972,746,331,043,328,321,035,437,676,727,920,607,
895,410,117,049,740,386,324,426,700,255,822,827,356,004,163,574,362,294,461,
755,798,631,210,323,364,652,546,672,271,074,511,380,240,931,290,123,774,778,
364,358,110,594,388,693,353,248,612,489,429,165,782,427,251,271,037,196,773,
337,888,329,826,603,958,525,663,304,382,953,830,782,629,046,362,936,127,713,
654,019,731,461,567,756,127,266,425,632,695,146,693,004,262,097,919,629,809,
427,099,423,885,558,602,472,493,855,809,537,533,779,804,494,573,278,967,630,
794,593,407,644,948,614,899,263,396,432,409,772,050,404,498,062,389,075,629,
724,891,014,446,444,673,755,607,875,719,725,026,985,634,767,004,277,349,841,
393,284,495,420,652,864,005,696,635,679,469,896,053,355,809,557,637,697,833,
674,142,591,310,017,762,790,528,536,119,179,251,881,700,218,626,007,506,992,
350,682,475,498,090,343,475,941,655,180,073,134,965,097,036,979,329,060,467,
663,281,197,604,126,707,667,342,728,662,844,937,396,243,097,461,793,868,200,
769,733,310,168,273,664,987,665,515,335,163,650,212,886,436,290,159,412,516,
959,000,750,372,578,167,013,765,619,995,033,262,533,224,118,935,603,521,673,
630,532,434,837,600,195,776,501,605,348,420,043,138,558,460,278,053,352,758,
847,823,800,013,378,824,555,438,215,821,307,447,522,732,009,555,288,534,186,
586,057,980,650,045,365,192,864,775,539,297,779,397,492,872,069,255,893,612,
576,454,267,114,234,671,797,746,802,137,014,641,892,369,727,807,143,599,040,
544,547,475,573,552,584,246,809,808,115,107,231,391,914,713,478,296,930,155,
950,711,802,097,318,892,507,461,417,973,039,195,087,742,125,986,177,557,611,
073,607,210,327,688,060,091,522,953,388,674,091,966,833,926,317,439,441,336,
357,824,104,266,336,984,591,207,643,071,833,653,614,532,352,702,519,676,041,
015,078,257,897,775,068,130,283,914,459,350,123,877,169,975,318,180,064,208,
078,877,650,518,338,187,672,951,494,375,979,776,666,029,023,524,925,314,742,
364,896,426,244,054,492,344,927,902,866,463,724,164,350,367,016,056,182,372,
113,743,488,551,085,497,737,795,349,470,808,051,982,278,815,127,389,117,458,
799,298,394,554,536,127,293,937,778,207,464,564,709,616,173,201,924,413,417,
139,644,514,349,992,752,743,987,413,201,601,429,610,013,747,464,004,205,418,
224,673,701,032,656,632,027,455,071,422,303,967,530,938,574,495,571,732,544,
413,411,116,617,749,185,255,208,659,731,166,375,499,060,819,637,978,346,697,
755,384,705,177,498,897,134,835,975,865,815,480,167,885,446,113,028,248,237,
317,485,540,566,206,947,319,832,131,856,396,692,352,377,620,945,545,137,874,
174,737,601,250,153,865,530,161,910,360,738,687,544,433,487,877,593,150,338,
179,659,394,094,045,830,026,181,220,740,188,706,534,586,475,155,695,419,816,
431,053,599,160,319,900,411,118,698,457,357,535,187,204,571,263,886,149,056,
551,111,474,755,794,385,349,488,226,815,819,164,774,067,172,097,882,719,022,
403,818,834,443,373,368,570,096,645,938,703,983,770,112,351,682,265,914,305,
514,262,395,911,108,796,156,991,779,958,445,283,610,471,584,367,454,747,143,
663,168,772,772,356,081,096,464,104,608,033,914,113,211,781,791,133,397,464,
261,595,952,833,008,622,566,086,736,671,155,389,105,236,149,289,509,838,386,
787,199,624,194,584,737,995,647,599,053,024,973,041,015,276,082,129,025,950,
093,922,743,424,295,986,675,239,703,100,699,613,914,416,946,639,925,228,218,
824,628,126,391,500,979,280,309,594,625,720,816,944,361,064,878,244,716,260,
929,579,271,432,609,089,159,247,030,580,535,598,085,023,706,265,802,685,455,
155,117,315,549,860,576,051,811,608,587,923,578,940,794,893,348,532,680,728,
307,260,847,973,411,828,208,560,961,125,779,128,030,479,857,695,497,749,478,
813,880,256,577,946,452,201,681,020,688,334,096,559,920,717,154,135,880,260,
411,386,359,144,679,296,494,650,451,530,193,872,569,733,525,025,609,964,826,
272,526,283,049,997,835,623,480,685,904,446,625,044,490,028,597,669,725,321,
347,050,003,379,122,999,958,823,375,772,643,558,632,642,010,966,201,802,095,
705,066,695,118,284,501,815,082,068,592,506,180,769,473,269,674,206,148,849,
598,190,179,248,825,487,614,765,967,230,128,532,506,802,686,330,218,099,308,
206,971,808,753,900,832,202,983,642,920,968,843,190,031,373,522,504,110,614,
498,363,688,794,103,646,358,390,182,694,892,560,072,019,999,864,451,106,345,
821,526,847,442,118,614,617,222,079,201,908,337,183,753,343,157,683,719,789,
680,697,905,174,017,788,886,277,983,385,982,452,475,460,115,158,094,058,834,
467,591,461,353,905,879,721,166,273,763,951,708,204,768,616,330,419,981,483,
804,628,159,797,364,382,457,068,027,981,546,099,517,499,125,085,705,077,289,
144,844,782,413,294,844,350,883,916,822,618,330,055,666,279,092,533,741,997,
933,694,747,742,799,932,339,670,990,813,575,836,899,670,435,282,085,927,082,
915,456,298,135,011,496,652,206,749,918,087,166,486,570,608,567,437,724,404,
560,082,152,243,766,784,308,272,501,503,587,425,370,507,774,345,265,811,697,
517,523,107,475,145,915,674,580,254,745,367,866,562,899,332,696,087,771,951,
835,021,010,930,525,452,856,284,535,973,632,058,339,780,343,789,941,553,795,
809,837,693,255,963,145,944,679,154,125,175,729,465,970,614,389,762,405,548,
158,905,683,141,710,416,158,152,088,003,536,401,594,176,890,979,538,506,446,
086,565,469,151,338,993,496,493,803,428,670,220,863,829,988,523,031,424,587,
525,307,388,524,682,375,055,329,351,891,161,028,268,445,635,717,005,017,101,
487,346,668,587,061,579,149,906,740,097,001,919,412,153,928,279,727,067,685,
420,451,466,350,597,085,626,622,356,681,776,733,926,576,780,534,656,726,985,
664,750,468,254,722,615,092,559,958,845,610,093,708,917,378,284,501,663,690,
073,007,882,631,511,162,695,781,506,571,093,601,461,630,134,500,395,790,587,
461,848,353,396,164,019,071,766,288,672,041,148,512,318,073,016,477,889,761,
503,784,974,880,881,272,260,127,439,803,189,549,700,552,762,280,549,235,319,
055,812,571,581,352,101,922,096,125,522,977,344,492,653,398,735,792,269,949,
551,319,097,734,234,266,272,788,630,098,478,907,090,997,788,400,465,725,200,
456,402,454,015,959,774,769,251,271,178,225,353,277,542,904,028,501,996,559,
116,883,966,307,805,069,753,902,651,028,471,735,268,638,763,852,905,568,776,
575,839,916,129,575,749,325,205,670,327,817,571,806,549,354,864,380,931,700,
486,122,730,103,549,970,654,931,257,220,908,947,475,281,949,831,160,019,304,
061,085,952,717,326,166,288,244,761,383,850,847,705,883,202,410,636,770,534,
776,733,923,545,977,408,812,755,185,334,787,514,808,960,298,285,712,707,763,
404,408,390,104,078,185,330,397,466,293,852,466,754,871,567,196,351,554,349,
884,676,445,007,297,765,634,009,995,876,885,605,114,623,966,483,692,975,753,
512,867,108,262,909,985,295,415,659,551,702,473,494,960,667,642,674,210,133,
128,678,126,999,475,321,335,267,002,614,770,805,458,278,852,782,699,711,192,
002,335,557,866,465,864,514,132,608,823,143,296,411,166,509,466,733,190,391,
452,914,765,304,979,344,058,759,172,980,549,679,110,532,608,666,108,881,607,
448,911,533,274,664,118,603,881,947,046,575,809,863,937,261,400,912,639,296,
421,777,157,927,267,170,590,932,534,208,901,964,205,393,681,454,212,990,054,
693,282,967,987,230,714,861,379,586,172,130,580,970,704,310,011,189,164,484,
346,555,685,904,816,880,370,999,924,828,024,376,298,649,017,874,020,765,636,
974,510,093,333,565,663,990,829,639,769,014,757,524,246,276,411,458,901,363,
706,606,239,421,370,119,950,505,055,924,290,434,655,360,254,791,412,488,909,
990,936,514,130,624,711,898,728,931,463,299,247,649,326,672,752,828,407,407,
884,991,927,962,901,680,725,341,033,929,807,495,444,875,296,172,484,266,150,
757,322,326,591,702,624,090,649,038,183,083,159,966,141,314,261,723,932,649,
484,513,937,697,329,871,672,558,992,180,211,246,231,441,871,828,352,588,214,
593,448,174,183,022,317,294,025,644,041,548,937,255,755,288,444,811,388,296,
782,426,596,623,196,381,585,643,045,150,751,074,834,343,576,202,668,186,543,
658,565,097,876,312,617,916,554,787,237,394,058,627,034,648,151,516,948,336,
911,080,594,875,532,631,261,947,125,394,730,360,007,421,886,570,870,118,810,
588,576,663,689,976,496,773,533,165,125,964,462,339,305,012,973,020,253,753,
079,973,969,932,317,642,571,280,230,532,580,363,754,223,513,694,767,563,764,
337,865,804,113,067,271,879,594,794,378,810,132,133,372,178,903,489,573,765,
594,005,174,916,325,720,942,387,947,719,251,541,141,337,534,172,459,184,497,
496,184,816,957,072,238,104,362,790,989,136,524,009,835,031,897,495,619,186,
992,904,141,567,161,144,741,268,587,580,383,405,439,572,806,651,393,839,806,
120,805,112,387,248,394,394,901,254,841,550,988,300,863,083,377,651,016,755,
571,359,308,226,343,787,285,117,466,542,948,234,566,963,423,274,187,688,411,
920,416,425,345,793,144,684,199,536,352,021,459,429,504,251,586,981,088,731,
276,711,006,641,106,056,826,149,960,306,364,647,666,255,726,302,725,289,678,
271,586,221,702,616,282,037,447,169,195,003,298,132,617,384,410,104,745,327,
072,455,142,662,038,102,821,102,981,778,410,711,962,846,038,740,256,065,941,
279,120,237,250,855,199,785,205,668,114,884,770,454,221,262,951,194,689,586,
061,739,663,055,413,632,876,916,140,376,106,832,620,089,857,280,877,514,275,
535,527,921,602,813,171,960,297,418,105,085,602,960,241,083,627,015,894,704,
702,015,053,285,935,835,891,796,904,805,231,790,946,283,139,875,920,639,273,
750,578,776,636,424,434,262,996,556,012,283,504,248,363,037,137,160,111,141,
191,455,597,512,213,119,086,936,575,211,354,478,814,014,923,654,091,005,579,
507,886,192,153,486,456,963,427,117,718,135,787,658,073,155,922,663,681,712,
559,986,782,926,345,596,947,994,857,699,758,519,475,417,914,735,544,219,360,
388,291,547,482,310,827,052,426,048,395,676,261,864,240,502,110,086,359,812,
543,401,972,736,439,293,047,247,192,940,206,581,828,263,481,575,290,200,881,
490,623,695,896,761,608,715,145,988,488,794,864,193,714,680,165,604,198,985,
458,072,033,963,275,584,771,814,580,572,811,867,194,182,518,216,472,466,797,
616,567,558,600,767,230,850,607,730,454,753,495,786,503,123,870,811,774,366,
018,754,867,847,934,441,522,199,872,300,197,199,138,404,700,559,332,967,704,
146,220,741,330,207,971,217,510,366,694,560,029,887,481,876,039,157,617,039,
616,600,737,796,968,043,332,114,714,362,852,943,119,492,958,358,797,423,130,
932,879,255,690,125,816,180,073,001,642,693,611,569,973,463,311,607,493,038,
970,663,349,434,770,831,269,917,062,261,143,787,914,679,393,095,921,087,024,
950,356,533,625,025,859,369,925,350,082,936,188,422,977,306,715,194,898,084,
627,413,735,598,224,931,974,468,370,376,410,548,664,799,383,143,019,655,487,
048,712,633,191,341,682,712,959,721,429,127,975,917,556,373,705,085,575,586,
686,827,705,944,614,371,832,467,095,064,984,815,107,374,500,252,134,410,003,
341,863,826,467,800,780,219,448,110,460,022,928,654,004,646,968,700,418,270,
968,080,847,410,126,000,878,461,446,522,710,876,234,186,290,867,472,591,266,
226,820,702,956,462,692,458,340,633,208,554,681,563,099,415,214,235,908,724,
356,843,897,761,542,747,843,804,001,990,796,928,472,502,401,781,904,449,009,
766,431,390,460,638,585,783,696,495,184,313,963,674,432,611,112,807,878,907,
641,053,152,381,745,044,470,897,872,874,418,558,403,736,019,976,604,710,614,
218,377,179,509,402,807,684,995,998,224,629,193,917,760,682,176,827,293,397,
765,890,358,424,897,625,461,419,823,794,424,317,815,472,530,446,700,771,917,
423,945,325,705,501,201,714,330,876,203,530,201,715,791,911,291,731,770,434,
037,958,535,705,120,088,746,141,473,920,125,326,881,251,260,376,730,076,671,
855,781,699,545,129,044,676,969,168,194,193,687,299,237,935,632,920,958,071,
599,082,889,901,124,843,957,719,559,496,967,828,483,320,268,818,692,659,782,
539,346,178,794,970,774,850,605,013,690,624,484,453,339,347,907,275,799,032,
458,277,330,427,353,668,462,281,649,995,473,944,478,810,366,963,333,024,667,
053,730,399,707,226,922,332,845,694,720,326,840,399,095,751,714,634,674,964,
580,443,680,933,977,160,461,138,275,333,146,763,982,510,694,691,723,740,505,
725,349,893,535,596,122,172,897,526,007,897,095,144,829,508,725,878,977,526,
492,601,772,767,043,881,008,588,503,219,862,917,126,622,338,797,684,280,262,
065,812,008,246,760,342,920,924,283,229,972,121,070,399,687,291,687,192,348,
265,638,405,562,176,802,773,251,094,709,365,449,226,366,778,953,591,047,436,
230,991,735,937,090,915,712,867,820,686,225,500,765,257,162,549,746,499,379,
979,520,912,527,029,081,672,808,375,722,151,909,856,475,045,691,282,971,970,
777,760,559,792,900,411,923,784,308,390,847,170,927,011,106,044,485,477,068,
516,978,834,473,664,459,908,841,424,805,169,331,967,626,965,561,547,821,821,
376,150,503,519,644,924,905,993,462,348,943,326,908,883,401,616,781,572,745,
742,700,632,856,077,997,124,108,467,760,431,632,619,111,385,351,150,242,938,
092,069,608,749,291,322,637,130,179,584,014,919,134,162,216,707,295,762,926,
923,189,447,595,148,547,762,021,361,276,390,300,375,681,261,067,617,026,974,
697,490,494,658,897,505,017,754,621,563,942,335,769,277,252,095,272,408,420,
836,376,849,291,587,094,733,059,899,969,931,746,917,438,681,665,306,168,678,
952,002,231,862,958,938,686,414,661,706,449,563,789,877,702,629,969,392,736,
758,585,402,132,805,730,323,309,494,843,980,687,399,775,256,294,206,237,497,
763,920,185,295,451,035,752,653,275,057,888,233,956,204,794,917,030,321,387,
814,970,328,751,277,665,375,886,722,180,416,537,343,879,586,462,518,528,235,
482,658,053,712,645,573,417,285,070,236,766,189,275,130,273,551,367,551,720,
237,034,236,517,534,734,029,913,479,902,872,717,742,298,550,194,396,615,937,
857,719,194,623,091,734,467,490,545,915,020,655,321,127,993,932,867,763,985,
664,545,672,711,743,125,568,948,654,601,990,953,947,409,883,820,843,828,426,
571,251,350,334,517,544,460,297,851,252,527,601,431,272,875,437,374,824,633,
033,289,345,411,651,550,441,606,588,845,905,036,183,409,270,139,224,853,859,
992,253,457,216,147,794,507,688,803,857,642,668,246,167,833,859,388,543,910,
625,994,340,156,501,225,206,796,854,430,310,572,034,771,029,297,861,430,751,
405,359,463,722,976,145,280,221,685,496,774,860,496,313,882,186,931,600,103,
654,450,519,186,247,059,797,381,948,706,150,169,483,785,537,063,358,460,866,
433,392,266,290,964,056,052,997,637,721,338,495,246,839,826,798,198,819,521,
464,418,823,814,930,864,231,271,099,932,026,144,830,923,823,352,073,720,133,
931,761,238,738,853,448,781,757,375,756,615,814,859,064,349,711,855,592,807,
480,663,012,838,976,344,251,205,100,363,801,229,895,828,617,773,249,121,096,
851,009,828,014,634,985,039,399,885,018,908,766,633,486,736,004,241,618,591,
049,743,144,152,497,453,882,072,552,977,731,573,856,969,662,728,762,658,388,
375,966,642,359,400,392,891,317,971,636,732,626,437,691,302,394,730,556,406,
360,244,236,000,532,458,383,412,127,368,983,925,429,821,521,444,866,094,552,
805,688,021,368,663,749,112,065,511,638,993,782,767,636,306,624,565,203,713,
082,131,663,680,245,884,899,840,186,539,952,420,224,336,721,067,446,493,587,
805,904,241,847,364,802,312,244,971,331,871,431,933,883,970,775,137,889,794,
451,038,326,362,625,328,322,206,813,653,891,553,613,840,833,181,823,915,112,
956,513,310,313,169,034,555,497,308,892,132,222,074,963,732,523,602,727,114,
811,808,917,577,401,487,577,457,381,808,947,750,924,694,839,297,743,102,178,
807,925,616,923,846,325,003,240,216,001,709,526,990,094,696,997,562,357,729,
091,928,803,488,923,753,436,572,556,269,838,182,989,868,900,045,983,772,437,
409,708,040,204,890,737,722,157,077,550,570,813,066,857,724,058,700,127,067,
146,342,141,494,723,411,375,192,067,028,214,680,426,124,083,773,689,743,257,
350,122,113,839,491,994,047,201,920,947,295,377,041,812,287,442,441,922,234,
053,155,324,844,686,601,998,626,025,547,876,532,286,705,196,531,644,086,218,
378,678,633,430,938,394,703,922,808,793,831,562,144,900,665,681,481,588,763,
108,507,467,567,256,934,676,650,683,200,685,627,061,257,358,532,140,308,291,
396,551,412,068,098,834,084,895,837,165,177,253,215,015,281,238,466,376,372,
184,189,522,709,177,786,485,632,262,899,427,299,780,651,977,095,700,022,860,
775,969,041,568,144,761,626,160,572,926,226,351,728,828,454,066,661,782,071,
376,415,351,429,158,281,599,420,497,257,129,943,482,299,251,094,372,274,373,
805,305,162,646,728,131,196,708,464,216,609,695,825,731,544,807,354,214,010,
760,776,500,495,222,062,708,577,028,492,812,750,686,637,670,882,722,803,418,
548,440,482,740,046,135,401,110,895,128,372,634,416,835,887,505,932,231,317,
818,370,773,418,465,360,301,268,373,725,713,355,266,844,679,138,133,960,499,
517,773,629,277,927,033,347,872,165,688,599,983,205,749,799,807,169,767,395,
488,489,145,613,678,152,051,990,288,705,093,815,242,321,528,075,949,431,721,
895,846,632,213,937,812,810,826,609,076,245,430,137,572,816,351,916,238,194,
694,669,474,270,398,946,760,953,111,123,438,313,716,536,205,146,996,868,774,
990,633,740,242,546,394,484,806,030,347,661,299,061,828,791,718,381,619,383,
711,853,684,053,021,102,380,159,158,493,034,777,386,072,233,030,450,668,761,
968,503,568,040,680,837,036,935,991,298,887,625,844,694,791,470,804,360,571,
832,249,574,988,526,722,888,780,006,437,383,832,008,667,832,039,672,306,014,
720,727,167,568,977,016,101,698,076,163,265,491,433,986,449,527,924,683,448,
899,630,783,455,789,510,236,296,144,756,492,364,239,796,330,905,590,438,973,
387,696,582,964,339,949,034,524,469,866,431,453,882,092,195,255,466,979,299,
762,233,796,837,653,395,208,602,188,341,256,935,612,768,904,359,094,266,197,
491,682,482,987,904,856,201,913,623,411,616,746,935,141,804,902,231,261,330,
212,971,252,052,569,269,398,144,044,049,121,612,065,234,208,812,599,799,130,
317,931,534,772,162,854,045,812,931,736,018,645,257,259,219,770,697,627,468,
898,814,805,935,915,809,732,945,251,133,623,766,062,805,323,931,369,223,653,
901,836,920,559,770,658,195,099,570,079,450,857,640,964,834,715,102,313,890,
423,589,494,810,808,432,458,787,638,785,303,573,206,980,397,226,079,130,831,
526,591,304,804,831,258,886,413,375,547,350,122,071,242,924,049,392,110,471,
866,618,493,871,502,258,231,093,624,104,590,927,660,757,843,015,238,418,259,
206,776,586,805,459,486,712,080,310,259,080,883,609,289,593,843,022,977,561,
156,137,224,441,544,179,727,049,240,115,063,891,347,398,937,817,275,250,609,
214,409,056,411,118,510,905,308,940,342,813,376,520,122,397,370,459,160,692,
440,054,277,546,383,508,797,767,650,968,254,739,389,437,455,437,763,088,861,
489,124,853,625,180,427,808,867,656,914,388,063,626,506,750,618,224,172,091,
944,202,284,932,243,558,614,191,430,715,731,923,411,585,195,128,519,629,775,
613,788,346,643,793,370,581,534,979,687,692,737,584,428,298,039,661,213,018,
373,551,937,409,305,771,175,254,036,718,190,826,273,824,306,897,012,262,769,
560,318,593,520,102,133,810,474,108,668,717,785,302,382,389,733,032,095,985,
935,581,509,381,166,366,493,777,301,075,273,383,044,872,416,488,178,438,115,
701,027,346,734,608,429,828,494,343,037,368,584,004,785,076,524,759,181,793,
503,850,179,911,739,885,147,892,712,751,098,551,064,311,461,748,002,165,190,
955,367,205,874,547,075,352,436,618,618,362,840,069,492,633,692,806,818,272,
916,804,969,172,596,976,972,449,267,454,054,100,741,085,840,491,223,937,368,
724,563,511,131,216,665,235,308,482,939,530,419,798,179,926,008,309,569,480,
257,607,742,278,142,985,523,321,545,471,521,510,700,025,801,119,467,921,738,
724,332,675,073,750,490,275,120,757,056,545,403,458,136,294,997,734,650,287,
175,229,995,201,813,164,680,040,700,543,645,434,531,531,604,283,597,187,961,
266,315,808,761,238,469,711,009,378,309,331,074,772,074,257,240,180,872,545,
916,302,017,316,822,085,043,020,156,868,448,886,141,782,327,436,270,063,081,
978,203,864,798,731,845,301,522,308,542,579,932,103,674,564,097,235,941,677,
040,069,243,989,170,853,924,256,897,116,324,186,027,469,457,106,689,378,172,
783,534,106,355,513,492,841,859,059,643,390,832,272,290,606,999,273,393,313,
668,008,115,173,617,922,602,014,549,288,628,550,483,852,618,235,267,054,774,
665,645,358,393,283,479,841,942,134,244,118,397,506,242,469,115,836,144,279,
018,543,455,636,064,030,438,967,465,525,431,708,783,848,659,389,066,739,259,
592,489,700,245,150,572,712,987,547,183,433,522,345,664,429,637,661,926,878,
761,135,858,735,729,831,439,406,972,173,573,439,676,504,361,828,091,157,355,
382,344,912,504,978,607,780,879,240,107,326,709,607,828,967,861,231,452,727,
257,228,385,278,777,724,012,985,335,523,173,232,162,238,366,366,279,540,399,
970,874,517,179,611,132,364,368,636,927,442,375,264,003,048,617,153,228,963,
820,063,419,038,298,777,877,123,967,972,791,098,714,557,661,778,896,027,324,
135,044,478,512,166,841,802,146,740,768,152,720,157,941,520,384,076,908,264,
596,867,482,255,317,761,135,153,702,914,544,189,063,596,738,500,987,702,826,
693,329,235,291,642,184,372,196,498,817,820,665,894,939,775,580,484,074,332,
727,505,418,085,987,654,266,526,173,849,512,615,050,628,473,960,684,738,348,
503,127,933,978,492,981,030,236,636,737,030,736,807,806,630,740,558,502,520,
844,202,670,939,656,994,731,810,713,509,482,206,355,948,038,064,042,320,647,
549,460,635,263,617,635,147,638,797,062,876,161,621,755,356,210,689,292,882,
043,938,546,670,146,294,043,151,422,892,689,985,667,377,991,426,460,198,847,
317,574,865,539,951,325,453,533,732,781,673,163,344,997,588,174,010,818,286,
305,991,934,689,435,437,204,566,096,495,734,186,463,413,482,707,373,448,844,
358,042,207,841,639,802,574,825,880,494,509,328,207,801,173,856,703,904,897,
760,330,862,083,176,646,457,306,439,675,074,756,917,403,380,991,905,169,917,
192,780,076,420,197,349,456,703,171,053,206,938,847,159,485,730,837,680,129,
902,134,223,989,426,219,080,606,446,331,940,720,459,974,665,323,780,451,311,
388,018,327,193,718,508,892,932,564,919,955,633,300,042,050,815,865,335,775,
369,259,526,599,609,529,843,283,290,639,028,464,389,372,320,262,871,628,817,
652,710,608,124,058,277,155,598,444,491,777,722,333,293,580,981,721,578,013,
692,080,552,282,692,069,353,504,383,936,866,242,497,178,963,421,577,162,781,
476,149,384,467,237,858,473,179,774,325,489,400,147,761,107,650,944,218,915,
786,420,919,017,857,874,093,858,753,415,970,432,073,443,423,118,497,404,448,
158,342,046,104,813,318,539,097,836,819,805,332,207,186,148,407,403,065,568,
174,861,986,791,713,397,531,362,886,171,730,743,588,782,398,597,810,117,056,
366,507,188,982,722,351,735,611,970,370,725,929,949,321,005,685,765,737,957,
473,505,196,182,296,531,539,870,558,104,462,062,469,190,911,009,517,564,749,
703,219,792,923,733,974,168,759,306,369,702,252,860,412,219,859,643,700,951,
912,857,999,746,119,556,796,021,295,808,099,315,908,581,727,997,678,157,424,
516,574,466,868,736,035,827,238,086,191,000,546,881,521,649,179,532,028,488,
844,791,532,725,961,029,221,537,448,492,834,331,642,002,615,497,496,617,137,
132,184,755,971,755,147,666,263,485,977,561,412,409,879,757,130,557,259,868,
523,527,294,915,000,974,545,328,051,547,518,369,734,800,255,742,585,795,104,
173,371,293,168,840,737,871,368,756,341,163,508,227,958,147,466,103,637,009,
311,454,639,591,164,593,924,407,011,362,610,181,830,309,403,916,003,966,414,
159,428,950,957,714,301,273,384,917,964,455,143,725,235,315,795,982,194,558,
525,253,160,376,303,092,254,213,743,968,228,744,027,943,810,542,998,844,084,
516,201,169,405,714,028,241,578,528,565,955,445,873,864,819,777,432,228,351,
988,931,546,315,026,984,014,849,279,444,915,976,790,915,566,379,215,301,000,
499,104,776,888,772,893,570,367,278,658,189,368,223,340,995,230,789,211,403,
981,031,070,914,774,667,919,048,953,795,805,880,994,840,616,078,611,568,084,
898,912,027,296,895,173,718,612,176,951,805,551,841,540,961,782,826,555,485,
553,162,399,289,221,014,783,167,861,688,465,982,757,922,140,517,620,709,757,
970,449,140,449,259,634,710,584,697,806,385,381,175,552,749,294,733,513,845,
110,890,036,769,095,606,523,348,216,132,721,436,311,170,328,208,093,662,662,
112,323,400,891,484,031,126,223,224,941,006,505,807,473,053,495,559,411,129,
809,514,992,590,581,226,750,494,167,185,963,314,941,859,131,821,407,471,328,
906,929,440,145,519,655,360,683,860,121,826,906,231,350,752,829,447,933,366,
064,720,564,717,493,234,428,797,804,301,761,587,147,613,068,618,435,430,199,
713,573,231,409,314,546,586,253,577,912,355,581,402,549,904,198,162,700,465,
603,242,944,091,783,875,215,896,140,223,816,085,412,279,156,793,717,165,411,
682,441,141,114,918,621,375,602,398,735,493,658,242,887,290,526,564,281,903,
859,412,577,159,542,719,362,383,831,694,147,071,914,204,788,858,255,155,713,
315,068,108,294,847,364,574,996,506,752,733,763,015,590,563,084,565,407,668,
020,277,297,194,525,506,465,143,725,732,881,692,145,951,671,782,203,089,941,
139,635,026,689,017,123,353,821,402,213,464,618,754,545,168,591,507,801,922,
869,698,003,163,316,860,429,147,193,178,248,019,679,744,376,325,531,564,818,
811,924,025,507,836,896,212,489,882,197,418,609,137,624,314,527,353,181,086,
042,553,466,786,121,342,287,025,292,570,262,075,728,893,558,454,180,182,681,
309,415,569,541,180,945,966,176,382,794,333,469,014,063,227,203,986,115,963,
916,913,460,349,071,659,318,900,402,036,057,937,515,727,458,516,934,677,032,
051,652,877,240,890,893,021,633,647,999,172,582,998,104,395,702,672,576,700,
568,939,311,759,064,849,325,440,762,621,408,358,434,333,988,748,461,375,633,
717,539,345,859,357,380,798,948,141,153,920,115,720,457,916,033,690,884,655,
313,372,646,152,553,754,811,249,961,435,106,658,074,506,523,358,557,127,369,
033,348,745,933,768,606,104,170,460,379,300,962,025,369,496,751,816,449,631,
732,819,902,787,849,560,162,424,535,792,337,850,170,909,340,020,005,714,018,
945,543,307,592,364,785,578,345,995,458,215,008,591,865,739,748,558,939,840,
124,648,526,605,679,369,325,922,852,174,407,793,459,402,041,702,461,606,720,
543,871,323,869,287,461,500,013,480,450,715,336,303,148,948,526,485,942,213,
088,591,326,639,210,111,498,882,349,765,788,316,744,093,121,435,839,484,206,
347,737,644,870,175,092,056,866,212,471,577,356,989,092,713,296,249,660,897,
208,118,619,599,820,716,485,206,567,612,052,798,240,247,423,930,153,678,705,
185,763,204,049,535,781,761,362,089,001,244,326,249,936,854,283,795,042,562,
370,283,468,236,357,111,914,430,419,828,925,280,599,819,019,527,199,853,355,
071,274,017,582,130,051,780,112,576,081,405,394,737,427,025,909,690,619,430,
394,525,586,595,559,614,613,845,218,880,658,598,567,124,859,019,848,152,044,
449,420,185,154,595,903,339,147,643,581,299,027,828,208,090,608,969,954,873,
633,896,675,103,028,514,940,990,276,839,669,076,805,998,997,995,486,239,879,
419,649,298,605,302,211,708,801,215,966,332,570,496,313,046,529,455,316,426,
600,016,126,347,763,329,039,575,308,791,486,108,995,847,638,512,431,599,626,
316,309,248,656,223,834,293,804,298,009,424,950,100,447,835,686,980,048,975,
768,827,162,262,605,071,465,588,402,686,990,732,736,575,863,928,917,328,509,
964,242,320,559,757,038,420,200,124,758,189,831,119,374,912,565,725,355,958,
197,749,888,989,917,779,956,842,316,905,352,432,897,739,555,891,969,350,991,
828,862,174,520,287,108,082,863,981,567,835,445,820,155,240,659,280,071,990,
513,478,902,579,353,165,833,548,839,845,019,963,041,748,397,004,492,868,186,
301,714,277,896,620,159,139,324,183,575,556,852,431,326,994,729,041,821,195,
490,029,228,571,331,363,723,632,403,196,008,023,122,173,370,172,232,822,089,
168,676,656,940,960,261,128,856,289,222,558,093,792,428,708,001,573,628,832,
036,820,489,224,802,467,787,073,705,088,374,849,661,711,095,043,049,956,987,
868,257,908,940,338,705,767,677,292,256,343,977,482,445,270,024,264,485,066,
503,599,284,942,036,571,037,357,091,189,801,698,185,040,370,724,105,676,549,
013,852,559,092,902,333,432,450,342,117,349,767,566,700,374,465,970,968,706,
552,593,423,824,888,938,585,815,560,554,153,274,677,312,625,425,107,974,745,
012,937,774,520,571,434,797,768,017,885,682,262,307,889,510,123,038,923,354,
680,112,151,687,617,960,404,642,016,194,883,441,364,621,590,112,196,140,738,
044,392,786,034,364,736,955,481,434,825,666,064,398,826,408,562,411,691,840,
432,151,512,251,127,892,968,989,186,936,041,962,821,909,205,706,049,978,543,
610,814,317,084,826,159,286,017,701,509,864,047,127,884,789,157,206,860,353,
678,857,604,208,360,039,258,643,675,015,895,828,583,219,241,830,350,751,146,
354,653,191,421,124,689,031,205,929,744,425,046,914,857,481,008,326,334,730,
808,395,629,536,496,705,520,478,786,816,181,070,153,244,894,185,692,364,489,
435,702,132,702,781,297,082,521,859,159,710,493,656,615,309,090,597,711,741,
385,266,343,112,260,832,137,367,297,482,369,816,067,778,907,283,412,537,224,
438,460,884,594,807,142,539,568,618,290,455,839,131,092,798,758,255,599,119,
762,813,297,606,559,785,451,890,521,286,893,657,212,049,872,356,260,647,670,
152,400,274,636,925,609,321,941,251,534,545,969,044,918,186,610,294,338,364,
243,815,565,802,720,425,542,897,713,158,120,428,057,474,946,820,064,111,143,
108,612,615,877,559,698,326,549,381,740,540,047,093,019,414,803,893,613,926,
623,812,031,973,872,682,612,271,031,246,437,829,065,869,189,426,552,428,557,
884,512,655,320,824,787,248,196,683,056,710,087,600,738,406,045,936,581,507,
364,035,130,197,208,237,567,764,503,298,595,401,580,377,463,660,455,126,719,
046,836,461,562,108,219,255,051,959,157,354,840,443,830,635,841,929,424,432,
969,370,992,251,438,603,497,698,203,897,760,441,749,576,393,376,815,810,605,
984,987,778,916,711,355,743,564,898,766,325,678,327,742,006,217,406,480,668,
717,975,179,194,365,287,397,235,864,609,410,884,850,204,853,396,827,367,084,
285,409,094,386,745,633,604,107,201,721,829,544,166,622,815,642,950,789,185,
310,035,030,429,633,937,676,808,999,479,508,827,874,993,559,726,375,220,426,
078,122,737,950,754,657,614,115,663,675,788,821,466,346,656,595,955,739,168,
205,408,138,092,686,282,036,610,692,342,609,672,844,375,680,043,591,976,749,
764,477,950,690,427,131,189,292,724,045,561,884,629,547,545,919,294,439,836,
570,286,775,965,399,322,369,955,657,590,446,934,002,937,008,125,950,469,310,
583,161,065,007,294,819,211,976,747,827,429,975,066,073,635,406,254,175,335,
107,198,193,025,307,520,728,129,647,378,675,122,388,767,950,593,015,995,515,
685,585,175,521,669,736,110,522,268,078,607,988,986,507,468,377,401,254,219,
577,147,741,728,270,011,577,962,372,342,084,160,678,582,242,425,252,753,114,
770,256,325,375,837,589,513,519,740,133,375,405,868,510,377,220,506,016,109,
277,048,746,655,732,344,102,973,594,908,382,751,876,428,685,117,151,802,193,
369,077,957,983,369,051,666,888,775,178,315,093,974,325,887,673,532,873,969,
076,610,180,009,828,295,229,083,829,391,099,345,337,687,438,814,446,752,100,
258,226,360,250,266,802,699,911,118,238,682,819,953,993,168,784,464,382,645,
345,494,739,213,249,620,664,832,539,241,051,083,817,161,843,969,615,323,037,
201,678,029,630,950,176,722,497,502,264,741,136,226,244,678,427,853,640,019,
166,491,145,669,211,271,609,443,331,232,216,595,617,988,751,876,976,690,977,
246,570,622,959,310,283,418,639,563,543,110,564,416,397,157,002,323,814,097,
724,629,166,958,775,370,979,714,290,726,939,944,570,094,750,651,934,801,063,
112,810,799,708,695,756,324,432,027,045,389,099,848,417,133,669,247,291,075,
176,892,311,443,648,328,695,502,196,903,850,746,665,427,288,816,066,959,929,
351,664,617,012,973,724,556,980,080,903,808,941,315,304,182,819,457,533,179,
684,728,827,150,256,732,884,550,793,537,366,546,098,969,579,419,889,260,703,
864,466,454,680,878,789,776,240,890,531,099,242,852,873,438,249,904,103,317,
250,395,366,843,389,971,295,948,544,591,607,654,703,915,359,489,241,587,916,
618,054,125,756,032,044,302,075,457,875,512,843,213,571,210,619,867,891,257,
325,489,888,302,138,006,497,625,058,554,533,413,079,047,259,447,831,418,008,
509,940,968,754,951,921,200,370,032,793,744,935,805,962,709,357,425,618,291,
158,581,381,175,129,127,150,981,397,768,314,342,668,359,804,799,279,599,865,
398,250,901,888,542,526,326,223,320,337,960,378,685,776,568,607,153,059,092,
104,635,122,004,812,940,827,404,647,493,511,622,779,089,842,436,165,812,714,
341,180,347,027,217,226,388,508,808,684,550,720,562,153,822,348,552,532,742,
903,150,088,713,578,702,725,783,154,778,943,482,005,952,067,563,464,781,187,
734,621,970,287,238,179,170,010,798,432,326,328,229,304,718,992,970,380,464,
147,547,328,421,931,717,252,213,558,734,126,106,937,372,440,299,298,145,241,
659,805,033,568,569,915,746,725,795,673,662,812,177,730,118,104,145,756,351,
642,775,574,253,329,928,919,638,031,938,966,040,416,835,751,602,033,533,504,
150,941,162,967,100,169,016,244,596,015,033,230,760,090,570,017,496,950,718,
638,013,953,121,514,166,636,126,250,795,746,136,411,702,385,665,341,894,533,
530,766,249,142,372,650,808,351,619,889,273,986,025,991,245,617,186,484,517,
691,614,239,979,617,414,701,417,076,151,572,635,184,038,752,812,776,933,617,
660,201,884,820,938,825,258,779,707,423,366,075,381,079,398,825,467,043,282,
197,919,922,623,152,407,882,240,488,889,821,103,127,825,633,292,003,570,294,
425,403,139,703,099,946,456,351,136,716,641,974,223,138,678,230,231,010,761,
830,459,630,793,897,245,076,626,551,400,237,403,367,542,582,063,345,903,351,
564,150,941,129,338,076,887,045,562,957,254,285,061,561,037,978,585,012,782,
646,560,828,841,093,644,183,393,330,480,839,864,285,896,936,722,794,262,452,
017,150,396,263,446,541,122,823,838,719,337,018,156,901,024,124,082,451,916,
434,363,318,246,168,993,015,641,535,651,322,726,088,109,359,121,613,499,823,
000,941,783,925,756,897,350,228,563,549,314,395,448,630,485,905,377,988,259,
704,899,572,826,908,681,337,080,420,188,762,697,694,322,615,419,956,617,276,
141,806,336,591,855,754,249,768,258,826,012,429,740,309,817,487,895,339,315,
498,366,377,980,239,635,643,051,390,585,088,708,598,296,078,755,085,433,885,
400,942,754,535,433,296,740,978,787,801,691,739,350,280,293,334,865,874,922,
881,805,720,590,119,119,104,509,606,865,937,284,853,942,917,347,631,278,864,
374,226,248,229,775,332,305,463,216,195,875,569,234,507,177,517,786,360,715,
951,831,724,274,217,580,349,736,940,658,244,395,406,580,748,056,170,569,126,
485,969,206,900,406,458,837,990,587,903,554,430,677,799,282,554,521,462,981,
920,077,781,166,504,805,533,826,835,979,450,152,704,895,205,527,433,138,804,
443,114,125,032,404,576,852,253,565,370,300,310,873,734,695,587,234,310,443,
672,129,972,906,555,984,258,524,169,572,628,722,870,016,220,654,073,666,932,
242,288,757,890,559,352,094,699,457,391,714,584,530,263,762,015,657,839,635,
790,889,586,144,729,647,734,986,586,509,275,393,538,761,556,711,758,212,318,
229,922,884,060,168,189,015,535,342,863,566,487,891,991,029,205,604,259,576,
229,727,446,765,877,805,606,657,831,312,993,070,458,531,034,377,532,900,016,
302,948,123,047,162,600,124,389,866,615,926,114,911,150,160,800,489,418,733,
659,013,028,599,732,450,709,312,683,883,680,491,054,059,537,323,725,879,259,
612,261,845,681,053,688,864,147,484,627,468,282,536,375,757,917,415,036,361,
013,821,749,645,629,753,740,195,872,180,885,463,199,129,744,983,161,598,749,
111,239,812,801,815,051,350,778,099,696,149,162,518,043,571,876,699,420,474,
033,946,566,769,639,047,452,940,649,744,929,147,344,747,973,580,539,452,390,
963,509,624,197,353,916,767,724,015,550,345,872,780,175,158,173,238,290,552,
665,102,889,862,477,924,243,650,932,586,654,242,672,994,875,849,286,510,950,
170,517,202,303,610,017,687,442,373,989,782,605,361,529,601,489,477,481,630,
106,564,055,421,364,624,630,281,278,776,680,437,355,851,912,147,959,104,238,
953,528,848,654,182,739,105,792,490,730,121,727,243,547,883,394,840,452,084,
202,060,994,313,267,927,658,680,057,766,947,780,915,093,891,884,013,541,437,
716,625,354,588,133,119,553,145,564,088,204,438,787,512,773,700,449,824,276,
574,657,663,064,715,373,983,539,106,899,190,631,743,933,840,561,019,882,925,
548,786,142,991,588,399,362,265,021,346,713,413,467,545,733,115,840,654,969,
321,144,427,031,767,935,606,071,050,098,898,732,097,960,616,531,914,909,148,
395,763,562,314,761,388,241,732,085,792,123,695,115,847,251,179,663,415,128,
526,774,363,765,980,370,558,990,570,424,232,967,395,709,494,643,644,461,528,
720,216,172,113,966,318,313,155,221,679,695,116,855,073,692,664,350,599,995,
682,502,913,749,589,922,262,081,873,209,495,826,807,664,277,859,342,038,424,
664,993,020,851,130,438,416,226,455,170,479,753,442,026,037,459,412,083,057,
312,433,762,812,323,030,892,568,315,962,369,044,263,422,833,214,200,953,313,
584,572,180,776,488,677,403,261,286,116,025,539,452,844,406,674,391,290,804,
236,528,297,982,758,021,354,302,738,257,979,032,436,121,949,207,172,746,586,
862,128,113,274,503,814,119,018,832,238,822,143,487,427,833,195,483,069,555,
748,348,394,063,816,311,942,263,569,345,605,031,432,057,446,856,794,060,654,
937,992,516,086,934,347,064,903,621,141,512,849,118,346,223,053,960,024,881,
336,956,688,701,013,060,722,386,325,609,152,676,857,756,070,906,000,180,614,
496,107,801,998,546,405,030,735,794,366,279,559,789,447,161,620,425,875,908,
360,360,370,569,838,675,828,506,226,301,643,937,688,202,846,217,712,421,319,
472,739,242,943,189,293,686,867,520,836,733,165,816,748,207,491,886,075,547,
200,741,511,463,603,958,366,379,976,660,657,186,319,569,028,090,099,981,804,
307,961,900,017,706,755,589,686,155,812,699,959,808,233,461,374,211,941,536,
173,146,125,560,527,595,665,128,137,447,368,105,652,895,622,131,057,617,436,
512,510,472,747,002,410,985,231,274,400,718,174,975,108,271,021,762,048,811,
407,072,379,593,611,978,692,023,832,673,296,217,754,382,420,767,580,111,210,
642,571,852,167,978,216,390,179,736,608,914,056,807,370,782,748,322,719,056,
220,168,027,433,995,187,950,158,611,216,260,564,064,250,409,325,589,518,802,
677,676,891,988,760,671,931,577,479,128,025,916,434,191,515,154,817,437,454,
666,733,269,125,870,857,183,509,624,991,490,159,687,857,279,814,625,675,561,
425,548,067,738,484,328,836,002,926,241,356,052,368,958,496,990,784,755,372,
325,901,996,054,656,305,085,587,192,868,823,784,350,507,925,205,840,125,572,
479,331,688,197,986,571,965,249,380,327,406,124,649,861,089,501,443,026,549,
731,244,048,502,050,820,600,275,315,377,150,114,131,049,851,049,539,353,375,
481,653,666,993,762,712,898,709,554,264,275,441,389,013,377,776,368,645,246,
347,256,393,043,032,528,873,037,360,655,573,595,767,857,219,958,644,926,431,
602,639,205,042,271,435,468,695,948,371,346,527,704,517,136,239,770,707,136,
101,143,707,267,513,114,734,204,405,620,138,028,947,213,840,759,632,409,947,
713,051,883,519,070,916,189,432,975,468,194,377,525,844,425,741,217,479,923,
644,552,625,690,158,171,288,684,343,751,203,748,614,059,679,888,985,985,634,
332,795,790,066,565,062,870,164,658,141,506,954,709,040,119,685,235,389,736,
129,876,162,596,450,758,317,863,835,121,637,451,934,959,630,688,651,444,140,
038,985,259,360,732,413,093,732,961,551,423,788,339,532,532,729,157,510,022,
118,359,652,138,620,868,298,698,888,047,222,197,315,664,428,223,781,332,140,
295,008,112,539,994,872,218,115,144,952,120,066,673,285,338,945,332,381,388,
314,057,166,550,389,210,034,985,904,022,848,832,340,182,308,108,479,216,829,
158,743,512,965,343,659,069,991,831,218,472,242,296,456,445,974,670,802,017,
892,518,084,459,466,911,264,615,407,738,630,010,961,261,320,804,018,473,306,
797,356,847,749,018,550,154,691,505,501,385,715,340,639,562,861,820,471,359,
964,778,602,059,800,745,468,743,282,276,579,038,772,875,036,143,215,891,286,
738,604,197,362,801,242,340,359,816,300,403,573,663,327,824,053,305,214,554,
527,752,707,763,325,698,808,653,462,178,189,987,840,455,324,396,360,431,377,
717,028,305,670,241,890,303,731,631,629,991,144,923,815,480,151,921,326,085,
666,787,319,934,079,224,776,661,225,466,416,033,528,531,582,983,613,921,638,
858,020,441,385,477,350,257,118,911,678,931,742,067,872,834,352,757,925,881,
133,630,600,125,375,065,040,501,971,406,462,845,111,042,684,946,763,188,486,
611,354,541,008,370,295,761,878,944,672,388,203,761,363,560,079,004,978,081,
279,538,431,870,766,235,515,038,579,518,671,544,952,635,606,405,849,919,128,
636,065,022,986,983,559,125,395,275,458,012,227,606,274,405,541,820,170,127,
645,200,942,920,641,189,723,211,627,494,369,805,687,036,609,409,765,122,785,
737,402,502,814,732,093,379,874,177,749,335,112,969,860,508,149,784,911,887,
964,794,288,241,273,423,819,518,236,555,405,837,424,977,380,553,635,774,324,
801,696,658,786,436,326,694,492,957,497,156,477,371,707,251,460,225,050,064,
950,145,275,606,998,589,636,086,427,322,105,302,107,336,590,151,152,069,922,
219,965,096,838,472,306,680,756,678,841,758,763,738,517,231,880,229,749,482,
192,126,083,784,565,542,591,032,544,997,822,094,895,351,443,482,870,455,561,
746,413,246,158,587,889,297,506,705,251,569,236,424,942,024,730,573,284,817,
245,432,772,068,241,324,924,046,945,582,224,405,200,921,780,167,596,383,242,
500,069,470,224,915,101,783,283,883,547,337,118,262,513,623,667,830,859,274,
695,741,979,301,589,947,290,376,382,158,134,934,057,452,460,290,474,006,804,
312,238,042,105,582,029,341,710,392,706,864,318,911,776,660,129,790,143,490,
501,294,220,808,753,940,922,644,301,834,481,225,896,795,239,647,730,037,711,
219,743,965,689,186,587,660,095,177,551,876,517,563,751,828,951,139,017,152,
396,156,456,788,829,151,641,618,756,958,872,317,788,889,522,588,621,683,598,
307,869,839,264,442,062,214,656,346,215,548,870,535,513,426,739,182,237,522,
397,469,915,998,671,089,639,851,947,262,554,926,177,573,468,557,115,552,531,
242,198,401,672,046,895,948,442,771,914,133,295,541,891,568,959,440,895,426,
076,942,038,245,696,451,858,255,055,142,734,063,598,094,564,561,721,567,935,
884,952,168,512,438,356,005,862,544,569,180,494,356,249,650,524,331,255,028,
986,338,626,423,474,206,095,479,054,723,125,268,262,990,495,332,625,474,987,
118,105,167,883,816,179,676,336,468,071,224,408,241,279,891,294,796,149,695,
302,345,565,039,316,742,207,144,414,760,762,308,072,583,309,360,111,907,202,
370,939,942,818,219,787,044,899,799,719,856,559,410,566,935,011,058,935,500,
342,633,178,340,348,527,735,952,454,225,355,896,214,714,800,965,371,794,118,
675,435,144,637,317,298,743,059,258,287,326,669,211,794,443,971,345,213,242,
445,547,780,513,557,905,390,233,563,481,106,892,706,313,856,042,373,356,240,
709,341,199,330,224,396,760,076,732,163,589,571,394,934,934,092,416,062,209,
368,183,193,684,704,975,832,999,000,174,836,420,298,613,742,351,539,225,821,
065,310,324,040,879,665,261,615,493,649,365,275,927,790,787,890,512,083,166,
413,309,165,347,273,878,786,565,951,651,473,624,283,942,619,651,486,367,994,
333,975,811,395,967,010,599,176,329,242,646,615,647,469,199,768,080,607,010,
843,418,487,810,431,744,379,146,844,007,746,799,778,726,335,386,770,681,213,
824,650,301,858,789,624,242,192,487,484,031,583,466,226,591,354,508,148,076,
859,984,815,694,157,059,411,764,824,729,246,787,132,858,320,129,199,466,680,
843,667,139,947,773,391,260,670,601,854,405,114,960,653,030,336,269,153,847,
773,227,759,649,100,694,132,504,661,238,169,384,335,248,820,746,145,272,150,
528,376,324,702,113,170,818,511,529,932,009,239,340,091,126,372,805,940,359,
588,503,011,214,228,736,506,089,790,486,909,475,427,634,876,467,138,168,164,
408,731,312,606,444,856,704,020,656,382,548,268,554,871,557,809,185,300,382,
847,362,685,203,259,955,482,927,601,641,023,894,884,880,718,090,840,341,369,
104,025,865,371,046,435,172,345,547,560,338,404,915,128,610,410,366,073,858,
434,261,661,479,587,207,446,757,306,006,129,973,485,857,918,840,494,629,676,
820,153,579,077,900,103,983,574,822,079,195,773,480,189,936,840,463,273,873,
013,067,512,653,605,441,933,386,906,200,181,393,463,669,450,391,049,797,447,
454,773,992,281,426,918,366,290,937,279,024,838,125,373,475,343,671,994,145,
453,381,844,977,041,471,608,454,425,408,725,303,662,701,481,813,468,986,700,
823,978,187,914,023,901,395,167,508,794,706,077,785,213,767,579,991,852,793,
060,527,003,148,167,212,660,564,457,404,914,195,438,079,573,608,554,381,117,
433,965,705,323,096,062,175,660,362,890,638,691,711,920,061,088,113,042,473,
660,919,119,250,357,419,809,195,680,760,512,952,305,908,046,618,392,984,304,
175,008,002,190,622,999,503,435,003,525,397,648,427,296,920,967,312,855,851,
113,248,697,827,930,835,293,271,129,994,675,018,956,602,086,360,057,315,884,
794,340,127,092,050,457,249,229,380,087,172,177,611,830,695,646,844,058,427,
187,733,824,187,678,715,732,555,975,762,819,713,459,713,594,637,392,212,854,
151,376,435,516,674,219,141,931,607,671,211,467,874,524,065,228,627,763,690,
752,981,777,560,003,580,040,378,910,044,221,956,832,327,695,877,709,495,975,
063,083,051,239,630,888,367,827,280,884,984,106,756,727,944,010,120,586,008,
745,412,533,496,582,269,268,289,307,376,833,921,746,749,474,260,411,157,722,
105,513,956,875,354,356,884,247,098,752,757,920,266,774,787,771,712,073,717,
338,399,368,832,423,139,553,580,330,494,942,870,218,789,577,793,272,563,288,
472,808,541,307,574,824,119,586,804,342,741,423,656,884,545,742,180,475,807,
890,347,138,904,106,241,715,052,108,249,341,603,663,405,932,450,656,501,048,
345,947,626,347,772,705,455,611,763,282,146,321,058,535,280,026,002,979,496,
955,672,101,329,751,813,151,728,979,994,141,679,221,873,729,279,346,629,843,
351,234,997,574,648,370,535,377,415,922,465,072,838,982,324,056,865,960,412,
834,818,822,266,226,295,198,452,041,138,068,871,299,842,973,021,384,741,149,
297,212,458,768,495,826,248,967,024,354,916,339,229,903,535,263,516,204,266,
134,041,584,080,916,245,274,659,760,492,623,223,067,465,252,547,770,905,605,
789,739,465,726,280,031,600,379,473,171,951,467,386,002,020,700,864,276,997,
548,459,478,384,693,771,346,208,658,591,951,357,666,784,438,056,404,429,257,
739,244,109,855,798,990,504,403,864,502,208,986,330,722,051,837,865,928,177,
826,040,619,554,921,671,098,568,750,863,633,039,962,968,297,289,869,269,678,
731,203,620,169,418,895,418,675,442,010,423,577,112,962,762,396,692,825,968,
938,475,705,351,243,214,083,669,521,852,566,354,720,419,355,332,092,718,353,
437,826,629,972,471,384,321,161,497,788,358,071,854,910,844,755,846,671,928,
728,953,013,663,841,163,818,291,698,808,616,361,550,744,886,126,163,452,651,
547,069,588,806,299,579,313,188,944,525,014,421,320,960,712,425,834,089,303,
273,362,878,938,148,035,306,039,048,227,770,818,439,475,405,754,643,976,144,
446,520,550,068,435,870,342,730,834,445,648,008,605,831,002,106,532,187,639,
932,877,068,612,799,985,911,556,469,268,241,995,826,449,135,978,938,017,907,
203,337,915,805,898,941,369,016,447,573,740,810,814,723,115,612,502,146,562,
502,177,268,725,825,192,333,166,216,114,134,509,004,500,363,904,520,092,896,
750,604,594,211,647,905,894,815,724,917,259,790,801,316,016,234,535,280,021,
715,150,226,635,386,867,460,315,501,635,921,881,349,357,467,547,853,806,044,
843,719,239,925,729,634,034,174,736,185,188,684,839,407,651,459,885,595,805,
258,049,449,528,709,102,427,053,255,771,937,741,271,880,417,866,465,561,911,
459,451,394,832,327,944,198,799,096,132,206,458,397,749,302,321,253,969,327,
968,386,426,277,968,235,639,269,347,457,417,871,264,849,798,385,327,783,076,
532,927,029,965,741,493,588,798,128,011,701,811,062,351,179,000,556,106,575,
695,253,870,422,938,226,474,089,144,324,464,932,680,132,934,227,662,660,670,
375,503,887,320,042,454,990,018,339,202,280,967,320,422,635,724,384,409,594,
157,691,043,391,058,014,050,491,238,864,311,065,295,199,358,079,975,795,624,
053,515,728,483,821,851,473,561,419,332,376,033,081,736,513,540,027,820,417,
481,442,897,647,768,556,980,288,829,278,905,278,552,786,475,527,507,762,308,
552,631,042,192,483,580,695,845,177,013,449,275,107,367,264,619,312,197,323,
170,552,460,167,205,994,224,917,776,995,466,020,729,446,503,570,815,174,519,
001,164,306,967,731,206,522,332,459,916,344,572,620,492,475,307,814,792,679,
514,694,879,860,882,485,597,924,446,284,478,397,544,125,339,357,319,312,837,
353,616,418,724,207,229,196,694,031,946,099,400,406,239,356,216,955,076,132,
747,692,954,937,853,853,317,329,216,582,530,138,482,078,049,111,991,913,486,
667,681,625,568,315,943,846,374,791,845,378,992,630,976,066,472,684,176,420,
793,542,162,775,444,169,381,393,429,254,023,866,069,984,011,650,371,625,572,
386,996,300,085,383,207,213,051,304,150,313,768,496,569,159,708,965,778,460,
819,108,961,378,370,898,290,758,241,522,462,057,188,879,292,261,777,978,868,
713,928,855,528,471,833,463,970,200,719,304,380,326,585,852,633,955,036,302,
605,431,028,344,256,282,296,775,909,465,728,121,286,371,379,995,912,091,346,
217,675,459,328,031,601,630,641,449,018,674,925,090,192,019,510,877,075,788,
459,187,537,399,075,680,326,822,643,576,234,779,183,621,602,234,385,621,429,
984,016,072,378,493,907,292,504,691,760,877,942,400,450,454,720,648,034,471,
705,710,871,987,413,119,681,661,724,074,216,946,570,086,953,276,596,635,476,
614,881,015,740,233,380,802,871,016,964,062,364,495,009,884,372,921,679,615,
192,368,992,832,059,672,308,349,916,198,947,389,470,253,906,130,649,660,032,
841,060,317,106,464,281,489,605,669,406,834,560,938,123,810,394,644,085,188,
397,505,227,977,375,429,379,953,646,306,174,755,052,356,647,145,456,230,223,
100,740,852,734,859,626,660,973,789,257,019,898,452,867,590,206,470,156,960,
499,850,069,559,251,168,642,600,426,659,522,099,799,625,166,339,556,475,572,
654,529,471,137,432,426,900,571,493,134,966,323,627,617,600,690,613,098,622,
635,645,327,330,154,594,414,347,556,642,041,376,451,316,889,556,644,966,824,
815,259,121,325,288,675,460,462,655,094,048,765,648,327,384,425,496,549,011,
764,125,969,011,218,858,177,200,781,342,025,728,469,285,470,592,723,043,341,
921,925,571,879,596,228,252,025,767,989,124,897,209,480,528,923,197,230,269,
182,536,433,063,614,123,985,094,652,612,954,064,142,801,700,404,143,834,231,
214,264,337,581,547,180,770,846,502,088,852,479,340,062,685,831,835,266,813,
144,220,343,765,639,064,229,549,500,435,302,229,384,593,744,488,836,406,082,
476,033,636,111,197,757,711,403,717,503,252,032,592,424,066,439,164,982,536,
968,947,730,977,630,041,263,172,230,497,966,062,809,957,943,981,921,498,484,
415,925,701,240,198,983,440,533,371,152,393,697,761,390,113,669,515,306,910,
954,653,416,521,257,624,275,496,601,067,103,854,839,587,436,072,054,866,299,
053,019,977,026,534,089,133,502,418,976,565,433,482,095,428,450,049,432,646,
952,014,261,010,973,045,628,939,679,767,230,021,652,329,002,665,322,820,315,
756,427,084,350,636,273,384,784,318,983,689,185,205,003,210,184,621,492,490,
081,029,816,730,482,771,185,323,116,094,138,960,535,702,615,819,085,108,166,
017,193,958,862,222,031,354,216,724,652,633,692,681,810,062,539,664,626,947,
079,586,027,244,146,984,713,568,943,794,468,229,117,023,606,645,606,313,627,
887,617,157,505,384,641,919,416,224,845,764,713,236,136,842,542,365,238,292,
791,279,282,942,993,569,264,234,244,836,687,002,159,672,602,329,686,848,333,
794,342,275,611,592,307,397,456,773,274,698,593,263,300,849,914,721,137,748,
393,637,412,008,122,665,160,996,844,182,638,467,503,678,449,855,239,504,017,
576,440,467,825,533,356,075,175,311,341,687,924,960,795,462,325,774,539,040,
941,371,670,612,778,447,805,089,699,056,821,549,943,342,923,829,474,905,861,
229,347,474,350,175,600,887,195,183,774,067,138,921,379,004,163,584,691,775,
657,457,800,548,183,757,666,333,755,277,258,617,211,089,693,814,904,330,421,
716,463,387,683,270,476,591,665,790,390,881,965,678,146,851,634,826,161,225,
735,587,277,953,332,708,945,722,040,747,097,506,697,958,402,696,735,385,289,
400,296,455,835,324,718,944,092,167,463,973,975,595,486,616,300,422,993,836,
796,733,781,147,637,741,100,458,474,796,015,134,289,769,254,094,379,176,507,
770,681,146,426,383,105,441,260,210,207,627,049,211,138,656,942,595,580,347,
821,576,698,246,244,122,024,676,164,157,549,144,825,340,001,937,120,325,410,
953,965,505,270,178,977,061,117,006,568,217,352,936,822,363,888,067,040,304,
224,847,526,372,634,541,647,829,409,491,643,481,299,261,605,229,679,290,750,
429,244,519,553,802,351,954,049,934,349,753,100,647,215,389,266,401,072,918,
978,341,502,127,239,696,640,166,286,734,952,116,236,466,956,053,245,629,380,
169,993,175,847,369,539,630,849,219,133,509,821,000,388,201,470,489,736,628,
812,303,309,386,882,587,575,472,045,465,164,633,207,163,836,534,076,531,647,
932,887,653,697,899,152,253,867,266,069,710,613,763,030,271,967,577,944,459,
195,420,621,987,780,665,581,151,576,181,045,455,481,497,065,003,559,905,533,
456,535,537,345,853,595,363,589,028,962,633,566,162,943,468,057,436,091,853,
142,196,861,201,845,561,326,450,803,861,272,797,881,417,282,604,733,799,498,
058,164,254,915,529,627,862,225,018,294,258,492,327,315,987,076,845,628,404,
190,190,249,977,533,902,999,787,893,253,226,014,115,680,975,506,886,253,995,
443,331,809,179,403,145,186,409,000,608,026,387,357,932,789,765,629,330,188,
236,970,578,336,822,766,146,496,360,566,249,861,131,655,341,971,128,519,807,
384,887,325,467,162,042,952,222,202,767,992,495,454,638,064,001,919,150,944,
074,516,580,302,969,169,946,028,026,210,628,218,741,605,712,428,397,006,540,
915,433,365,109,833,642,565,315,522,819,410,003,356,536,870,108,489,213,858,
148,256,729,788,392,685,501,855,881,370,229,837,257,294,760,845,268,607,336,
069,165,287,021,921,480,985,616,152,044,999,431,641,794,411,789,947,488,055,
290,411,865,336,546,901,203,692,103,728,982,901,541,566,001,049,973,912,996,
633,237,449,059,393,754,498,668,698,065,089,771,330,182,050,748,504,235,758,
946,508,092,838,960,621,568,099,364,107,888,641,599,650,116,039,020,176,977,
850,410,943,139,327,375,449,029,007,261,044,995,876,114,223,043,613,994,104,
680,049,250,012,437,219,616,687,590,658,491,386,349,973,136,836,269,962,552,
149,287,332,595,767,689,538,858,639,412,327,409,925,991,736,569,897,490,592,
173,711,921,642,913,011,284,281,266,367,270,240,492,249,784,326,734,338,546,
400,334,180,385,044,318,700,614,348,058,348,353,488,999,235,728,736,681,000,
395,063,064,970,809,256,927,175,674,016,255,556,236,671,750,383,650,636,807,
249,041,887,521,089,008,894,371,560,258,078,930,921,313,877,209,576,611,805,
402,245,698,440,908,591,021,580,571,989,195,919,356,431,174,387,470,770,217,
863,153,349,034,146,944,678,274,393,574,104,449,484,070,777,239,354,526,523,
052,020,046,973,153,597,177,511,970,504,224,688,123,352,525,997,677,811,675,
961,632,305,592,296,038,405,047,097,831,718,618,106,124,613,952,459,917,497,
946,363,639,898,617,943,885,557,496,115,568,430,282,371,306,072,331,874,368,
998,327,072,958,953,468,376,560,346,575,368,378,468,140,560,843,721,154,334,
495,582,090,677,223,926,371,540,561,887,594,328,292,962,380,152,700,883,656,
637,354,532,683,987,174,151,824,010,430,960,022,810,642,552,887,716,536,077,
732,262,088,914,892,539,891,635,824,008,398,039,974,642,592,173,893,415,277,
205,973,059,709,713,659,859,461,072,123,459,259,624,649,924,842,177,562,446,
591,754,366,793,621,087,105,172,650,376,123,128,550,849,182,238,216,334,008,
408,631,796,109,596,305,870,049,900,518,749,423,259,118,411,712,259,217,922,
261,900,224,711,867,741,096,503,118,504,999,329,013,843,871,746,086,526,972,
717,863,619,620,833,993,747,418,584,816,832,347,585,631,616,418,643,054,569,
373,857,207,663,117,373,250,221,800,635,004,603,992,539,598,864,706,623,586,
916,743,822,690,984,543,657,925,572,557,255,015,780,511,140,264,840,017,505,
625,232,581,951,925,970,626,752,726,223,890,812,356,359,686,593,833,378,717,
119,386,467,181,765,338,317,192,677,530,362,980,354,416,486,306,697,659,164,
811,910,220,475,165,347,402,040,593,810,170,993,432,215,445,286,036,056,454,
171,844,241,567,123,982,972,089,746,707,046,860,480,893,885,120,574,160,794,
230,849,395,456,646,276,420,856,122,037,102,453,234,331,856,601,371,631,512,
156,583,123,113,503,186,770,514,596,369,441,720,671,643,366,783,688,533,388,
779,081,608,206,282,701,810,239,516,905,487,617,485,344,861,565,500,098,464,
798,515,994,374,975,367,759,943,137,876,904,251,928,180,574,643,794,189,824,
586,476,701,216,422,797,813,693,199,379,838,909,056,670,639,414,230,600,091,
218,447,869,792,392,081,733,052,961,775,589,189,135,968,467,215,407,058,070,
089,517,743,524,677,276,871,418,193,771,804,719,873,019,886,876,926,473,852,
803,985,823,513,212,657,179,097,134,125,549,361,467,147,555,013,582,541,797,
801,796,016,102,017,395,386,320,833,184,409,950,883,269,393,817,056,246,267,
521,638,207,182,563,037,130,403,226,597,095,007,100,848,022,762,440,190,339,
313,527,668,332,127,034,442,535,056,391,331,171,027,132,941,823,242,250,798,
755,659,696,763,438,309,458,564,152,471,819,694,491,990,484,013,285,923,255,
237,906,033,573,365,417,338,377,818,997,909,238,484,795,420,847,157,149,530,
902,557,487,058,985,776,480,055,315,341,669,407,785,528,545,872,053,742,959,
032,476,706,072,443,621,630,720,599,318,589,462,349,301,018,899,504,712,240,
187,442,744,228,955,594,608,279,368,734,213,628,846,768,331,583,079,629,616,
636,184,827,496,029,730,123,238,688,346,200,213,818,885,774,607,044,156,550,
310,643,878,698,496,504,037,292,142,053,641,699,268,277,903,465,595,530,388,
163,973,204,969,410,836,445,251,116,331,293,209,406,414,111,109,361,375,367,
360,541,560,819,998,793,315,998,364,500,224,632,251,437,415,617,722,270,697,
146,116,692,969,954,616,109,618,452,873,810,110,641,010,307,170,932,385,561,
752,879,142,326,569,965,913,817,463,374,296,179,978,311,611,193,380,582,723,
426,030,875,411,190,033,269,881,549,110,108,741,458,578,886,108,177,287,753,
834,646,980,545,553,936,261,115,532,119,131,868,219,274,968,331,252,402,373,
953,886,803,691,347,628,487,380,055,995,142,114,787,522,983,134,113,509,456,
148,335,236,336,326,400,381,311,760,518,143,641,360,984,863,685,906,592,579,
775,592,085,071,785,127,423,151,501,253,641,908,093,027,790,644,520,466,938,
263,706,889,278,407,475,767,195,045,357,859,200,147,373,884,351,576,185,533,
902,210,001,023,808,119,989,018,579,502,018,982,822,119,870,272,703,713,415,
517,219,740,396,397,599,875,887,484,571,545,702,834,729,194,050,047,770,921,
963,338,383,462,588,429,586,127,477,566,026,806,201,419,079,846,743,507,860,
260,481,193,657,125,473,535,856,980,886,376,059,668,318,558,943,656,857,242,
742,730,720,169,523,723,344,927,546,779,883,458,438,070,456,006,067,882,293,
290,494,270,829,463,711,602,837,339,765,985,937,645,847,716,522,372,212,286,
035,956,530,222,743,586,919,618,563,704,701,006,694,913,153,198,870,796,515,
963,781,958,582,016,833,000,514,103,447,599,242,165,000,645,670,671,225,108,
483,972,244,561,679,193,007,858,377,124,548,697,649,507,569,935,437,949,282,
375,101,182,920,295,551,663,106,338,705,391,730,829,671,575,000,929,011,502,
729,084,580,961,960,027,226,025,608,728,394,140,875,910,338,115,439,125,907,
533,858,133,859,998,417,926,279,316,365,002,387,487,542,100,119,091,360,939,
206,078,029,544,023,269,827,467,490,021,487,893,546,978,931,015,934,729,140,
004,857,846,016,119,059,567,065,590,586,989,539,275,728,240,713,804,568,082,
791,529,603,787,540,419,357,907,463,040,761,551,215,024,307,336,418,520,718,
644,384,570,004,849,176,586,417,838,685,402,984,011,581,859,552,961,664,308,
461,064,210,762,078,716,578,966,238,503,044,649,777,522,520,241,426,811,838,
729,565,546,117,599,740,454,918,945,744,493,738,234,775,334,847,762,045,700,
972,830,364,363,671,630,416,948,349,238,784,213,497,560,069,660,716,474,590,
640,543,467,135,165,519,549,648,162,842,688,963,396,268,743,153,986,611,155,
459,088,226,414,121,813,877,877,679,661,378,837,540,875,359,578,245,653,994,
135,259,006,348,208,012,153,764,804,515,225,597,318,348,031,708,260,579,347,
659,265,609,424,894,275,187,317,148,841,336,256,232,105,671,350,882,681,700,
382,582,035,813,274,111,362,622,432,856,403,732,356,876,265,672,155,433,918,
111,733,395,012,419,763,753,154,981,554,207,772,912,735,440,514,752,801,212,
680,480,064,226,343,916,983,161,609,299,083,693,109,173,551,439,088,263,100,
728,447,960,230,967,353,332,751,109,752,003,036,734,341,903,707,474,416,250,
168,323,837,296,401,153,673,020,890,742,634,828,753,653,227,866,640,754,648,
842,432,035,040,565,273,404,564,701,773,711,523,726,710,758,385,210,838,513,
912,675,258,291,156,883,075,245,052,082,133,135,745,213,531,248,926,234,698,
508,000,702,460,908,292,847,729,927,745,991,676,313,832,893,255,780,341,161,
450,535,941,460,246,164,185,351,179,943,832,508,445,909,628,899,420,132,844,
720,420,549,337,029,123,617,578,698,171,256,169,003,064,228,576,401,907,234,
045,743,584,497,958,314,833,854,464,306,687,019,996,611,463,124,484,533,130,
777,610,383,916,143,774,946,031,424,591,150,997,849,079,240,948,096,848,896,
851,080,715,616,866,292,090,365,862,984,260,513,013,506,878,737,865,676,845,
790,973,446,142,758,123,611,278,627,520,224,973,979,562,966,006,297,400,935,
970,516,409,787,941,599,706,795,569,012,914,812,310,868,076,219,398,383,069,
357,105,151,802,204,505,247,249,048,867,950,178,722,009,511,793,623,491,083,
240,001,938,190,328,601,069,008,759,687,102,193,589,164,662,045,671,018,635,
419,751,180,976,515,098,495,437,377,345,754,740,827,346,399,342,793,024,199,
048,862,189,348,253,282,455,074,463,488,752,553,050,419,735,699,610,186,449,
853,753,244,533,885,489,397,218,025,649,887,525,161,646,672,206,879,606,188,
659,739,512,865,346,623,605,705,895,704,422,971,095,430,876,445,152,957,219,
647,161,473,880,479,256,394,405,164,542,053,221,374,074,571,952,619,732,247,
649,926,553,137,073,700,181,378,692,161,291,402,792,978,709,737,591,588,354,
394,785,799,020,991,864,681,717,020,535,869,545,970,644,102,288,162,098,551,
582,689,608,316,190,091,183,549,054,723,156,555,353,276,908,352,166,664,252,
682,318,461,674,222,785,379,488,467,310,993,565,943,156,859,527,868,904,709,
144,702,112,911,105,898,640,091,688,666,179,041,629,642,635,290,340,075,096,
816,165,017,839,020,055,040,934,797,099,782,905,231,552,782,841,721,211,187,
800,259,315,722,625,806,125,512,199,302,819,930,633,182,617,421,083,205,694,
807,383,506,631,450,552,446,792,101,565,406,764,693,172,155,302,029,030,413,
156,905,272,496,172,193,765,353,570,790,322,489,915,620,084,657,074,080,157,
217,697,701,773,362,183,397,952,019,154,231,007,927,013,375,730,896,233,405,
502,508,497,083,905,594,798,033,368,101,531,394,081,581,921,081,600,713,034,
822,028,085,212,872,833,066,711,803,974,041,428,968,171,094,646,796,793,106,
180,860,142,590,513,359,579,993,699,505,927,456,701,790,571,117,431,720,831,
136,558,283,156,695,492,618,319,303,439,436,574,726,197,554,174,521,857,178,
325,512,732,570,935,443,236,847,211,140,611,009,013,670,237,085,353,209,742,
315,436,888,093,287,784,029,289,935,297,027,126,862,310,377,765,914,455,960,
425,597,708,552,823,453,761,134,857,594,284,665,374,816,062,834,290,356,079,
328,625,953,715,512,705,194,298,312,999,999,953,206,303,812,668,899,788,875,
940,217,039,153,416,906,910,530,066,458,025,706,368,315,110,667,619,484,465,
836,654,156,371,543,749,083,518,004,419,560,403,585,688,498,230,167,495,365,
181,419,567,972,580,469,548,891,509,707,037,634,192,688,194,422,540,939,479,
085,875,155,420,571,504,368,893,232,984,202,020,345,362,396,474,214,200,002,
943,666,214,932,676,408,785,252,452,368,653,443,354,850,153,396,009,636,813,
694,986,636,568,659,810,849,717,431,205,467,765,852,516,385,660,503,246,178,
703,913,940,867,001,780,883,538,548,126,651,236,956,494,620,116,622,669,286,
355,169,604,998,126,884,349,280,890,102,397,110,290,761,882,523,361,882,629,
378,104,375,336,751,757,333,657,413,841,114,176,282,441,949,058,624,315,166,
044,982,772,433,945,406,309,856,015,804,724,112,573,591,673,832,893,486,152,
482,551,481,921,342,864,306,163,997,885,372,178,923,504,020,046,080,443,086,
335,315,589,271,651,007,913,118,578,714,336,677,541,617,744,045,386,965,259,
471,610,292,222,551,411,754,753,263,664,995,792,772,661,272,864,412,874,815,
889,374,988,338,722,077,919,626,027,499,558,057,931,480,800,841,685,323,055,
700,749,888,825,179,900,927,571,857,260,219,735,310,700,566,750,404,715,875,
982,853,336,028,165,729,938,420,189,141,277,764,045,465,868,133,227,678,231,
405,286,258,189,978,331,742,526,598,987,828,930,152,071,736,635,123,117,864,
001,009,110,208,767,780,022,440,074,473,664,654,258,133,266,551,232,305,299,
983,295,290,735,109,713,381,473,147,412,902,414,957,154,255,271,283,366,535,
719,077,065,398,922,476,636,869,837,389,632,547,522,514,087,103,405,794,863,
978,160,053,189,159,437,696,091,276,965,097,889,660,477,470,609,962,074,506,
909,373,901,083,929,582,114,939,786,238,866,003,229,721,036,307,930,017,754,
963,073,836,546,373,237,495,485,434,238,732,536,282,544,123,255,166,992,894,
820,045,560,742,348,338,733,484,633,656,397,611,116,912,485,062,492,372,135,
775,396,115,897,815,276,880,685,310,801,576,896,751,866,678,197,916,080,924,
449,511,573,682,156,814,007,153,209,219,413,679,152,743,485,139,280,526,824,
740,238,826,386,071,201,569,038,475,845,861,280,576,465,650,991,708,025,897,
669,167,865,086,970,860,855,163,587,648,011,486,429,815,577,589,270,457,487,
913,053,150,052,961,941,041,659,884,033,819,150,006,501,408,720,566,172,639,
044,799,838,217,108,318,408,845,507,569,752,629,529,369,863,342,074,959,601,
838,459,695,148,697,734,380,450,225,492,897,377,460,717,404,726,575,584,360,
568,546,546,230,463,512,521,347,321,966,539,626,882,189,773,784,357,304,929,
503,735,487,618,538,470,485,714,778,820,959,509,005,691,258,747,358,481,480,
635,083,727,508,452,796,149,430,884,661,840,590,759,667,772,236,611,772,546,
385,944,748,175,451,814,718,164,851,289,422,683,977,862,963,897,419,358,333,
574,578,832,115,268,433,255,493,011,765,163,428,724,274,408,086,989,920,513,
034,450,327,150,821,770,282,103,431,483,873,612,423,018,010,045,056,247,698,
611,446,513,506,526,554,906,883,377,997,830,759,837,468,869,489,191,701,207,
043,746,332,573,680,742,147,792,617,575,604,642,819,357,727,372,756,507,033,
249,632,117,941,987,478,339,458,111,965,231,537,454,050,795,595,279,039,751,
985,125,110,532,287,145,889,403,709,426,103,542,689,334,672,278,007,076,970,
139,512,828,349,388,977,724,467,070,872,411,414,838,911,682,255,222,278,153,
467,740,127,209,440,930,336,036,861,436,748,911,208,400,829,914,170,945,888,
640,093,693,047,801,202,632,468,156,319,572,571,676,393,458,995,994,043,707,
890,827,604,624,508,609,436,736,510,556,848,333,183,862,823,591,471,432,917,
349,157,453,814,334,540,476,661,560,882,655,189,158,835,095,362,674,964,275,
966,513,025,887,324,217,436,684,035,678,281,151,693,889,498,432,701,909,712,
080,644,840,307,220,496,450,958,219,963,070,190,064,805,801,793,379,417,959,
680,030,401,666,558,517,996,589,035,731,348,599,423,859,774,244,697,009,334,
356,928,537,474,315,471,876,302,823,551,492,193,597,740,492,943,528,674,251,
210,350,918,800,539,802,423,450,687,570,699,305,004,956,952,621,556,184,026,
354,467,649,035,361,954,351,140,730,590,609,071,829,203,335,638,717,110,526,
974,441,072,771,298,138,494,783,521,279,945,676,796,118,052,040,836,395,168,
201,838,241,410,311,613,378,025,337,063,055,342,296,303,470,225,418,683,960,
626,394,564,046,002,503,553,879,271,031,910,290,171,948,896,414,299,482,050,
997,654,254,162,502,156,491,573,317,816,375,249,513,270,608,536,119,053,565,
754,903,298,382,059,390,284,378,407,879,320,762,021,108,755,177,910,867,951,
999,834,803,143,819,049,912,878,674,888,566,603,398,119,764,330,019,113,331,
705,180,369,463,079,365,138,074,419,865,692,444,224,111,572,087,330,077,955,
150,884,886,589,111,273,450,067,831,758,364,703,237,447,168,354,857,323,182,
416,181,162,004,260,530,151,389,519,987,778,098,046,540,074,167,265,652,728,
735,622,433,530,822,123,450,354,331,120,871,814,990,317,417,978,753,102,164,
992,910,309,425,389,341,152,713,483,395,943,267,870,788,276,562,950,022,036,
947,757,787,207,072,437,109,378,441,015,829,539,189,308,294,704,837,242,011,
097,325,153,148,985,139,403,259,973,597,541,808,096,845,549,728,832,540,057,
407,364,773,988,117,811,147,551,235,895,943,599,270,803,392,776,612,090,399,
032,671,650,809,452,302,045,054,437,606,043,979,157,287,646,445,214,952,140,
121,055,853,113,233,304,693,368,746,918,495,154,906,178,261,657,962,430,416,
730,893,004,338,068,253,675,972,542,822,413,889,502,264,474,995,972,962,876,
932,351,589,330,036,725,423,120,498,273,897,611,224,521,032,573,314,373,583,
842,982,962,964,223,590,474,745,527,979,315,484,752,130,763,618,491,429,008,
390,022,966,206,856,027,808,599,456,186,350,877,976,346,652,118,623,962,226,
454,658,756,149,468,004,422,737,338,806,727,791,737,141,200,218,564,202,018,
040,548,933,295,121,829,035,796,125,293,790,928,307,635,312,429,419,413,548,
968,351,415,382,190,055,773,424,422,630,945,007,116,926,464,534,809,054,954,
758,489,478,182,753,087,267,567,765,810,387,519,151,685,730,937,629,334,939,
041,203,923,343,566,130,032,800,462,186,072,380,051,021,185,167,771,477,421,
405,399,679,672,844,683,231,178,666,548,908,436,765,658,256,917,703,009,822,
223,708,383,709,834,533,259,274,331,914,513,501,506,218,782,420,836,814,166,
274,181,868,220,874,693,838,586,224,205,843,880,170,781,674,005,399,827,860,
699,554,012,679,385,323,645,352,792,572,620,107,651,984,546,836,023,426,284,
024,900,679,882,006,679,809,516,572,074,253,868,333,685,160,590,137,498,368,
928,705,817,915,728,014,313,299,279,935,633,598,428,339,647,509,738,433,135,
672,498,625,503,745,004,722,509,115,111,839,720,821,634,218,612,638,622,585,
607,222,161,916,012,022,498,617,045,851,603,010,619,733,727,952,628,218,893,
202,349,693,656,015,568,723,470,359,335,689,661,281,572,201,314,220,853,573,
095,123,873,754,499,713,057,372,389,014,247,454,791,687,097,088,651,727,058,
418,060,570,037,750,172,712,370,984,105,673,453,366,398,976,197,331,957,072,
192,251,724,387,807,627,774,646,196,095,807,013,790,238,431,198,347,981,345,
809,457,716,825,152,932,952,495,603,564,486,507,871,879,487,035,968,021,407,
912,730,476,918,056,397,726,247,762,666,616,703,317,131,311,187,870,389,910,
239,451,242,388,567,811,603,280,257,023,858,746,141,210,101,851,567,967,552,
960,296,690,336,973,448,691,094,803,842,598,707,033,790,405,709,915,549,005,
488,535,927,116,186,723,439,337,310,533,947,270,798,535,559,900,106,514,997,
392,935,129,914,539,688,037,384,388,274,546,966,849,874,616,447,182,619,984,
100,464,029,738,714,052,301,520,797,907,741,070,242,498,776,825,140,299,001,
026,678,473,904,386,755,835,119,716,102,776,882,048,172,704,329,382,595,561,
333,811,304,538,935,697,659,999,187,250,043,083,233,652,500,340,514,039,080,
228,230,749,345,982,155,992,913,504,177,747,640,954,420,888,757,576,955,229,
163,885,421,212,724,409,317,279,557,795,411,865,571,709,994,238,381,059,973,
734,056,341,133,543,871,560,431,387,016,909,096,028,363,122,253,708,400,594,
912,139,201,516,433,046,546,762,222,732,185,669,114,261,103,503,082,237,995,
648,019,945,258,503,264,032,697,246,960,441,959,347,590,951,108,025,951,389,
572,271,912,854,644,310,068,436,279,458,423,807,778,172,761,631,859,073,003,
559,143,395,790,474,334,568,936,603,660,170,042,635,106,292,076,738,516,583,
340,223,798,780,665,130,047,708,776,553,877,731,228,378,315,455,953,317,592,
410,968,717,917,340,115,537,675,871,936,269,438,239,661,441,406,212,794,835,
333,544,398,145,157,556,732,238,620,052,095,126,412,445,825,881,152,102,580,
214,160,658,745,804,950,711,585,665,407,171,913,610,111,648,326,313,930,914,
205,248,691,241,062,222,968,537,361,549,020,580,068,524,802,847,017,071,010,
278,317,856,382,373,269,025,149,954,563,140,940,451,266,904,605,922,267,174,
439,750,370,914,081,947,395,546,748,590,874,541,614,233,277,820,534,952,738,
600,538,131,837,053,992,098,605,948,247,159,420,845,454,730,837,820,947,049,
831,569,083,002,943,798,894,732,992,227,884,363,732,364,785,773,639,105,153,
252,784,687,156,261,491,634,416,189,999,510,000,037,819,515,380,443,138,537,
374,288,892,138,931,306,389,184,110,084,303,708,822,245,081,215,442,702,698,
891,076,272,427,169,124,757,971,650,333,668,605,272,201,579,350,409,455,463,
925,687,012,227,043,602,171,128,653,397,757,498,942,303,116,170,832,599,223,
209,810,897,879,914,506,152,202,174,812,853,864,624,619,313,224,448,241,311,
074,798,117,223,873,659,392,494,464,517,199,938,657,145,602,925,144,926,342,
062,173,912,413,418,514,877,112,985,256,014,382,682,838,820,885,934,686,527,
201,817,023,243,061,547,368,850,772,487,472,819,107,195,274,596,894,980,940,
398,761,757,921,489,278,199,146,586,391,382,317,272,949,676,038,957,617,325,
233,386,556,113,671,643,327,371,340,474,914,553,033,480,641,462,038,989,580,
417,056,788,350,706,720,257,452,649,717,224,332,908,613,985,274,911,765,513,
527,612,351,546,493,504,117,095,192,417,257,584,637,598,029,548,699,130,783,
977,441,182,941,177,716,395,357,140,414,527,905,777,029,150,695,704,964,916,
984,853,893,328,386,505,916,650,703,057,892,370,945,038,995,297,424,296,380,
947,397,455,644,884,368,157,287,151,776,034,778,216,784,596,663,124,937,228,
884,454,438,105,583,148,928,500,776,958,575,311,721,719,877,240,688,366,004,
362,784,827,567,153,450,574,337,228,834,352,186,913,156,756,936,325,845,390,
710,672,883,719,898,411,891,674,771,817,200,629,970,485,661,056,999,639,652,
650,663,012,597,635,930,149,640,914,931,067,524,348,232,139,072,231,711,936,
125,676,780,503,055,899,922,881,364,954,633,001,286,838,291,009,821,958,687,
552,685,597,388,684,152,198,396,580,124,955,936,628,410,276,137,085,778,724,
402,369,816,569,662,074,474,635,435,776,632,485,941,516,747,045,319,067,948,
261,742,592,573,491,018,241,755,891,372,146,274,923,636,533,033,427,350,052,
602,897,632,243,001,319,400,159,079,570,426,867,314,132,047,801,757,549,914,
626,012,826,270,749,214,470,094,329,156,829,984,115,084,662,506,728,453,183,
641,200,994,803,218,659,620,395,770,555,456,187,275,858,287,851,741,415,067,
396,652,853,391,327,526,123,208,115,088,940,452,320,217,097,038,921,066,071,
085,661,462,855,701,307,407,700,724,724,703,205,338,895,309,806,814,634,077,
961,186,659,854,270,959,222,573,989,497,547,579,297,616,397,144,588,358,663,
021,582,223,944,797,219,721,817,050,691,909,794,461,554,033,386,451,234,942,
214,037,748,349,102,544,597,358,651,436,567,308,018,209,328,333,418,473,947,
617,690,958,923,138,318,367,007,196,884,700,617,296,321,739,484,705,443,299,
597,358,386,681,008,165,324,940,810,633,160,780,040,866,789,512,237,386,330,
957,033,593,294,938,318,388,055,839,873,117,583,341,067,974,711,372,665,232,
794,000,553,541,908,714,467,018,603,912,507,051,945,058,206,676,247,398,462,
705,474,101,970,657,230,303,799,742,627,778,905,709,126,665,268,171,226,141,
085,754,077,378,999,111,530,925,097,047,292,088,632,502,242,580,655,094,610,
082,420,999,671,040,474,152,473,577,656,957,229,229,505,906,000,601,204,069,
117,282,209,706,728,690,492,621,256,148,906,526,234,874,920,229,164,649,872,
435,267,370,992,287,083,308,123,766,715,680,661,148,382,371,329,732,645,903,
367,222,530,841,026,455,648,075,170,838,102,155,519,789,331,718,863,618,666,
953,737,296,612,640,082,298,727,363,142,483,851,342,870,976,538,408,345,475,
291,606,193,892,222,941,958,984,303,275,920,108,346,931,642,733,682,538,669,
548,226,036,901,652,409,099,490,433,548,207,039,237,339,684,631,440,714,542,
999,235,751,485,031,733,514,510,731,483,007,306,063,409,577,655,451,894,442,
146,784,788,845,038,735,394,388,344,158,206,104,460,320,662,517,846,024,285,
958,557,203,641,414,073,848,723,894,635,241,767,978,268,138,326,564,626,848,
820,362,780,999,279,948,647,318,915,995,633,064,455,739,360,613,006,758,590,
716,365,991,430,131,126,329,471,077,901,578,942,852,990,224,022,480,706,113,
302,313,440,597,487,734,723,403,785,616,508,085,101,646,679,586,282,101,369,
690,415,730,901,032,565,875,154,975,565,236,242,369,766,545,479,627,064,596,
321,940,971,166,702,495,630,814,200,457,937,738,949,750,603,570,287,456,773,
012,375,298,678,307,040,927,038,517,113,442,996,287,652,968,013,583,003,797,
609,925,623,399,825,704,666,393,755,471,331,026,141,484,163,960,397,515,679,
254,965,843,024,339,435,344,197,440,149,579,906,975,774,073,411,961,539,120,
198,999,245,326,322,334,361,883,643,869,392,315,365,560,767,868,284,265,595,
901,780,656,338,142,337,732,917,470,532,923,219,687,010,700,418,839,207,191,
069,632,776,367,371,173,133,619,494,210,755,704,159,653,542,586,903,254,089,
277,275,875,913,944,776,449,165,633,847,586,884,630,327,422,375,379,271,168,
632,640,566,544,009,109,353,502,548,259,633,960,985,883,721,049,244,492,002,
345,845,788,936,731,770,273,097,361,863,063,338,484,683,167,789,123,472,836,
827,812,100,860,303,880,865,178,672,860,749,404,807,948,079,687,465,672,303,
794,674,871,537,873,325,436,871,758,496,610,300,969,314,417,998,962,402,061,
180,028,807,975,868,688,653,063,163,432,659,800,447,486,558,693,685,114,729,
644,872,942,072,458,782,301,378,993,169,113,115,985,512,782,354,812,948,555,
838,170,891,020,491,427,567,246,580,932,734,513,333,148,684,273,194,514,619,
121,284,342,950,240,288,387,739,608,513,833,221,824,417,656,338,700,277,906,
442,959,628,507,963,509,414,003,459,346,583,065,069,985,088,789,996,011,026,
252,616,170,481,947,346,659,693,744,376,967,416,970,102,784,481,938,120,039,
444,290,431,283,416,009,072,823,137,404,641,764,594,886,054,304,347,116,611,
171,531,925,410,893,375,520,971,773,622,741,514,574,006,411,712,784,783,585,
451,574,784,917,366,599,873,647,911,681,025,116,812,797,612,628,549,416,503,
308,147,227,531,923,944,528,547,833,209,450,534,657,269,540,348,438,450,218,
112,927,333,960,390,931,646,384,013,521,587,036,282,686,096,513,240,316,943,
545,194,436,012,092,093,101,026,211,443,481,304,779,735,116,458,971,427,222,
710,071,750,973,365,017,203,080,521,861,200,906,333,291,280,328,304,412,154,
156,428,381,625,812,879,652,696,992,527,059,400,929,113,884,057,151,790,390,
903,218,691,460,506,388,131,574,794,984,662,482,686,850,874,514,542,532,818,
669,199,609,871,099,716,676,473,165,599,569,685,878,733,096,973,732,130,018,
927,098,786,369,571,614,434,854,287,617,544,167,502,528,952,103,408,860,179,
871,820,881,389,707,027,420,592,423,465,157,552,359,474,997,403,989,204,007,
340,152,272,313,281,411,454,326,265,917,032,885,514,874,147,045,078,052,434,
282,072,563,694,607,921,894,288,306,982,452,057,873,570,325,737,123,219,219,
915,797,696,268,602,817,195,723,580,295,581,485,419,778,216,911,925,772,282,
652,859,973,080,685,984,220,117,444,018,085,168,657,536,278,126,452,596,329,
063,316,121,490,417,912,651,474,910,804,309,980,387,214,198,374,324,576,401,
384,039,128,250,563,252,723,981,196,121,143,548,557,587,696,439,636,568,915,
949,734,452,298,711,824,812,851,457,612,863,856,484,850,362,457,571,517,316,
109,712,496,866,094,436,080,535,219,672,132,267,620,101,775,816,538,591,101,
188,381,556,095,183,075,742,956,602,871,909,787,780,080,473,791,278,469,421,
903,318,142,956,654,160,985,998,942,641,609,981,128,990,943,484,535,713,486,
219,040,145,860,500,052,387,294,075,989,493,596,987,555,526,163,440,847,597,
569,729,712,715,315,108,363,345,644,461,089,565,728,812,668,849,679,305,862,
035,661,820,375,036,532,401,864,586,293,897,590,729,853,956,736,981,580,617,
721,923,182,171,221,461,974,816,740,253,191,560,653,966,179,065,109,426,637,
136,099,665,249,326,829,178,960,017,531,228,196,376,196,771,957,144,446,305,
736,808,375,706,936,447,629,889,090,694,774,203,624,982,320,616,366,094,724,
966,298,749,864,947,232,833,786,891,743,299,144,420,810,124,468,357,403,269,
207,925,588,554,280,617,527,873,933,547,493,570,885,297,108,316,222,125,801,
805,403,189,909,480,067,818,930,232,278,720,273,267,355,770,276,221,634,967,
865,454,998,759,182,536,530,714,936,786,841,598,699,626,911,213,456,707,814,
601,677,147,478,824,210,807,047,155,884,713,329,069,187,754,741,240,578,747,
211,225,410,448,829,990,084,393,761,714,563,944,392,617,108,824,952,458,343,
239,773,994,981,573,641,138,070,460,843,756,952,599,739,070,418,421,193,767,
413,211,233,882,126,638,947,267,638,350,550,484,353,179,277,530,171,679,505,
782,094,638,544,878,003,183,971,088,282,350,674,711,445,528,784,987,595,159,
851,205,287,018,885,608,985,308,026,283,906,475,517,856,276,110,719,530,719,
820,135,773,554,300,740,829,622,847,242,880,304,888,776,301,266,214,477,403,
969,610,050,831,213,083,182,925,131,115,092,324,058,006,601,483,571,717,366,
482,532,698,832,691,899,515,673,515,051,810,480,101,480,863,120,091,386,753,
558,747,013,608,673,602,685,835,348,933,747,518,251,762,664,910,979,664,185,
103,532,577,472,465,477,102,801,318,706,734,601,288,467,880,690,531,019,002,
906,925,380,527,405,805,208,905,844,114,066,326,895,274,412,232,636,609,606,
733,142,290,112,249,818,066,705,997,141,648,165,174,328,041,340,542,008,954,
094,060,802,020,446,175,410,340,594,568,044,102,448,674,742,239,983,778,352,
911,652,922,843,150,996,013,017,205,347,545,780,274,683,394,847,566,224,188,
559,836,991,302,193,313,186,960,753,463,621,163,020,637,014,237,657,522,095,
233,823,011,798,611,946,292,296,974,221,229,731,341,326,996,342,239,416,088,
817,595,685,482,542,763,122,653,277,099,126,118,230,239,734,061,291,266,470,
190,371,072,765,778,441,465,573,974,066,595,322,200,149,773,406,598,958,138,
486,192,828,754,107,831,787,175,235,640,968,379,084,195,263,744,228,746,664,
280,542,041,723,685,662,319,495,021,442,068,694,142,026,555,062,510,665,492,
607,804,686,397,347,179,324,749,855,910,281,394,359,885,913,817,510,987,895,
701,111,652,089,869,883,195,288,829,796,630,233,401,174,675,013,679,718,964,
695,246,764,631,189,613,490,908,711,857,633,136,204,624,867,918,598,955,849,
720,907,396,338,099,952,254,824,133,905,231,148,703,772,313,926,159,824,055,
780,198,543,867,190,998,008,927,456,640,480,354,442,411,274,986,538,951,626,
911,869,038,867,302,252,906,213,692,257,424,658,048,600,514,918,605,875,933,
582,600,963,808,505,015,858,276,493,383,030,110,151,180,321,259,519,142,612,
249,899,024,371,309,142,988,842,463,071,088,534,660,816,674,109,513,810,019,
818,943,306,881,133,865,265,571,289,044,109,646,427,754,998,331,027,854,042,
782,186,535,224,403,910,795,690,942,809,045,119,043,360,501,908,558,455,810,
900,416,737,737,417,156,091,206,956,690,683,142,919,075,187,184,830,376,136,
141,010,525,777,313,047,627,490,490,806,263,589,932,492,361,061,381,737,132,
004,258,924,293,655,746,879,591,000,039,793,888,824,856,524,573,598,200,947,
334,571,976,912,489,264,848,825,986,463,468,167,434,245,203,393,216,869,333,
516,514,400,627,843,069,601,709,747,412,492,772,850,400,229,602,218,242,930,
090,100,561,240,604,682,360,051,305,107,215,841,765,337,249,992,591,223,804,
138,381,413,710,295,538,776,045,584,743,070,799,837,128,245,261,132,141,524,
004,052,470,676,435,916,067,207,294,930,094,769,680,744,411,843,332,960,351,
826,309,316,267,201,163,562,248,024,384,436,699,342,555,422,253,669,565,748,
211,960,574,888,506,726,604,400,577,813,950,828,072,264,261,145,959,362,635,
228,884,989,640,098,187,543,158,910,201,006,437,694,875,765,529,521,729,356,
413,547,151,767,457,576,191,792,473,945,613,625,270,574,331,808,503,049,336,
446,768,146,896,459,522,602,246,048,496,701,559,945,472,388,847,620,127,653,
763,171,335,171,251,681,970,619,601,118,873,790,038,062,269,156,405,385,090,
055,591,336,243,639,864,108,130,193,309,616,778,791,163,244,774,220,038,189,
416,818,262,974,623,082,332,325,197,316,542,185,498,106,131,585,534,368,569,
008,873,059,728,911,126,111,771,060,776,823,695,192,239,391,324,018,047,026,
005,043,825,903,905,414,372,564,068,877,227,612,556,071,017,595,228,081,619,
340,596,939,061,345,343,266,386,548,974,371,203,518,021,348,681,664,370,058,
536,845,989,840,103,847,694,507,271,002,760,651,636,973,351,441,038,310,829,
690,949,837,274,008,092,566,666,152,077,087,885,199,521,239,409,823,599,489,
523,164,786,368,280,428,322,211,551,843,848,350,783,563,232,111,929,397,141,
824,214,170,081,274,680,250,144,991,234,335,549,777,001,253,459,975,376,957,
635,959,008,823,268,046,733,236,732,097,343,157,209,518,017,148,727,637,178,
224,300,545,232,927,992,482,460,860,846,494,079,158,808,604,466,744,366,358,
643,619,819,741,848,307,464,930,729,628,025,621,529,267,056,791,223,630,907,
825,113,727,282,992,864,378,355,359,261,855,520,224,186,787,957,575,817,154,
349,681,330,116,808,797,242,912,359,544,548,431,993,547,492,384,679,708,107,
539,975,983,121,081,251,787,175,038,374,574,193,026,328,175,216,392,743,570,
830,356,777,344,328,841,752,860,889,790,984,709,245,474,091,804,976,652,238,
212,254,663,363,734,259,534,867,210,497,574,109,015,896,158,431,052,328,675,
797,706,200,259,791,908,408,575,591,096,413,850,524,902,493,607,527,925,134,
143,009,293,611,038,398,517,518,079,295,443,170,121,683,901,781,241,004,455,
669,624,246,424,270,980,845,068,762,848,682,311,688,838,639,428,606,621,186,
765,287,521,800,590,749,222,118,516,227,500,175,415,112,124,387,456,103,524,
344,391,381,550,273,584,341,591,863,785,169,676,724,133,865,596,509,347,342,
177,423,818,931,098,253,831,899,077,356,931,792,030,844,747,875,215,213,276,
237,736,622,400,401,521,337,129,115,302,700,636,190,925,631,562,593,109,509,
353,263,090,083,955,687,303,696,355,680,396,476,673,191,613,084,907,434,719,
633,167,186,751,871,778,788,450,577,108,679,126,267,681,356,306,020,863,378,
652,253,781,750,155,606,315,173,548,760,490,082,328,539,091,557,061,178,123,
521,836,211,811,185,038,028,274,747,038,245,989,617,897,371,901,199,641,014,
005,710,189,589,734,785,404,326,201,969,446,649,881,909,683,125,328,945,119,
371,525,777,700,718,315,950,604,551,663,201,750,724,784,685,654,947,321,835,
246,325,433,226,688,730,314,647,383,381,045,229,990,637,883,633,585,387,790,
030,966,763,788,480,031,849,075,376,873,146,590,372,165,215,800,261,900,940,
294,217,444,459,390,166,872,885,428,190,047,344,317,977,621,897,235,913,061,
499,144,794,426,967,241,225,747,530,467,379,190,565,863,643,526,983,781,737,
175,095,597,973,581,451,492,371,087,955,084,621,294,767,869,016,852,237,274,
275,700,509,823,544,679,357,740,597,509,428,193,817,744,390,848,062,748,738,
550,083,647,575,107,541,526,963,476,346,021,761,751,880,224,946,137,991,975,
205,953,476,261,589,166,238,477,893,114,027,959,144,193,652,718,530,668,260,
226,533,154,176,209,625,219,408,787,213,593,280,082,726,574,710,997,795,806,
628,736,968,758,548,486,998,922,908,433,833,688,192,593,501,207,728,627,178,
850,116,866,489,250,289,989,857,785,649,642,496,820,006,006,509,328,858,470,
828,222,792,538,432,053,526,426,642,192,280,096,126,900,962,860,042,742,624,
331,414,725,956,571,957,133,576,828,766,741,889,185,722,417,404,371,384,913,
628,136,855,309,039,617,823,913,698,738,989,804,693,189,352,468,584,755,289,
715,923,517,439,395,136,754,505,842,383,046,009,552,365,578,966,178,113,760,
571,592,411,005,461,241,614,814,243,060,678,039,379,350,607,577,271,335,265,
564,063,796,371,200,707,992,686,437,908,594,453,467,704,737,811,208,292,390,
246,024,718,415,652,414,453,036,016,956,853,513,816,249,960,883,478,705,394,
647,655,586,783,344,276,903,592,591,628,304,436,711,223,997,362,161,445,998,
593,823,509,049,723,611,281,303,278,949,313,076,071,114,318,320,170,711,269,
788,902,737,443,676,671,255,599,444,217,785,616,722,494,575,896,334,598,197,
439,100,949,841,710,703,718,172,084,197,571,304,168,919,578,902,687,213,769,
518,549,951,745,646,724,472,461,814,780,088,221,619,104,564,112,074,211,545,
777,715,231,036,383,579,809,767,829,684,662,988,707,430,817,123,984,310,025,
797,751,566,371,264,221,225,709,715,070,091,255,751,781,599,695,275,921,534,
269,909,849,909,078,210,352,584,074,867,297,742,872,477,774,865,767,964,918,
760,585,179,640,983,943,486,206,115,978,927,387,309,170,500,649,884,997,013,
737,527,567,092,594,490,248,816,898,387,786,326,674,574,205,917,779,926,798,
253,218,600,775,247,853,734,287,985,244,974,680,670,906,956,872,826,807,708,
332,878,998,555,626,949,950,815,227,303,316,271,737,187,565,541,628,258,576,
684,160,209,536,564,327,810,393,592,395,919,847,895,003,026,428,296,281,679,
084,345,461,619,603,002,956,727,746,697,844,054,309,703,122,357,854,141,066,
492,653,664,924,618,297,885,651,021,020,048,582,387,571,943,569,054,795,801,
617,298,082,965,618,240,214,312,320,401,129,988,473,293,573,067,499,887,369,
437,200,773,939,672,827,669,136,589,770,415,365,509,898,989,989,752,506,896,
208,509,441,419,521,158,070,212,766,010,977,614,317,382,300,977,213,229,478,
554,748,749,088,230,636,838,254,882,040,653,275,964,950,090,359,580,342,884,
996,740,221,931,102,407,368,672,934,439,736,403,526,835,147,850,197,265,694,
552,156,654,701,810,241,472,838,691,231,091,841,008,263,605,480,534,106,523,
412,381,819,472,294,593,667,436,227,794,369,124,907,771,333,760,850,254,916,
357,277,937,120,700,002,474,633,688,454,456,201,647,458,993,929,461,056,197,
074,928,619,731,127,698,403,102,761,103,291,555,108,383,502,209,894,420,679,
618,336,535,567,313,901,035,616,992,546,696,672,119,313,129,961,886,304,216,
483,218,094,748,105,972,428,441,436,066,702,601,148,530,767,676,908,417,357,
820,117,880,264,283,056,373,913,217,920,016,946,210,171,633,632,149,572,346,
133,168,350,457,344,149,472,614,712,738,957,993,699,294,235,961,126,484,987,
805,825,303,572,059,799,682,420,571,533,992,241,831,845,326,951,689,543,598,
194,889,338,016,059,104,347,678,948,235,088,199,296,899,015,304,187,979,199,
938,782,351,720,300,120,503,640,657,733,880,225,537,738,696,209,730,945,831,
098,305,000,738,520,402,771,056,148,917,498,037,298,846,180,878,176,697,720,
452,745,312,578,948,027,524,509,838,457,930,979,477,108,829,024,133,940,828,
684,678,606,461,974,088,058,838,538,010,649,310,630,681,475,001,331,808,649,
607,674,703,736,047,076,772,841,753,442,985,321,980,317,331,104,099,176,788,
165,596,290,323,883,907,258,312,058,188,023,271,146,617,906,886,580,204,400,
088,238,213,019,513,983,411,299,962,032,741,736,413,870,015,007,192,231,995,
736,159,592,066,694,498,152,041,525,822,901,358,136,771,879,889,322,297,419,
462,203,670,649,363,855,447,225,268,698,464,933,770,813,323,125,450,385,736,
286,463,389,246,604,711,035,254,503,634,217,650,793,108,873,977,893,654,163,
220,480,463,468,017,095,791,319,597,135,377,696,813,240,956,154,208,099,849,
921,047,246,736,860,923,992,322,938,750,158,422,263,515,513,114,630,625,137,
282,079,004,127,109,561,620,797,530,373,032,745,309,379,079,523,297,825,860,
161,057,542,719,709,185,805,232,396,125,475,026,706,537,327,931,967,967,918,
893,185,174,793,370,393,082,632,771,011,374,359,337,434,830,592,439,245,061,
998,405,507,746,179,396,616,527,519,944,759,901,994,279,534,951,747,263,492,
698,698,119,751,169,154,197,938,452,419,224,035,323,474,307,575,066,941,500,
853,093,241,074,914,272,321,649,928,138,252,358,109,304,210,546,326,150,982,
900,515,189,135,326,225,794,549,955,828,097,963,841,623,599,511,037,866,473,
802,332,498,841,720,455,308,823,386,260,748,178,826,193,525,221,445,211,378,
606,001,153,921,498,708,638,703,793,448,247,282,148,389,046,490,293,793,473,
857,762,031,538,706,699,975,664,937,975,527,398,642,356,201,292,279,034,564,
816,835,023,503,532,117,718,151,382,554,214,052,384,664,021,424,586,279,068,
667,444,473,051,278,934,374,851,617,541,812,530,455,062,729,876,332,422,648,
284,626,360,651,045,891,638,496,175,378,785,130,798,491,582,177,525,261,742,
781,997,947,185,112,220,544,921,485,085,907,852,246,110,745,189,848,012,900,
841,199,839,605,829,794,670,297,487,747,929,660,268,209,797,422,739,302,638,
505,206,317,242,296,761,185,427,729,235,311,734,383,899,605,463,638,890,474,
430,184,298,292,697,419,289,452,457,597,165,447,905,674,565,512,980,288,943,
186,496,104,691,277,969,701,447,147,102,640,059,488,723,222,214,716,530,595,
350,871,486,292,829,645,395,298,262,348,540,038,804,833,198,671,692,771,332,
370,719,661,649,919,747,292,747,847,906,031,292,807,385,927,701,973,587,682,
509,353,643,214,099,593,088,831,449,738,080,249,381,007,661,171,367,315,376,
625,570,893,786,380,269,801,711,023,393,263,447,874,164,777,451,262,321,935,
854,745,448,966,076,833,366,161,698,225,509,239,600,784,634,324,604,631,258,
304,480,315,310,166,746,073,708,271,565,345,248,238,110,001,481,924,995,700,
435,643,690,756,852,996,446,008,289,179,776,150,541,304,614,871,850,101,690,
451,524,793,493,038,911,976,390,370,511,872,959,833,112,518,824,164,239,881,
010,237,837,840,517,021,517,667,829,418,697,810,275,184,449,747,499,222,513,
063,953,526,053,153,485,728,937,662,224,164,911,524,102,458,087,112,912,016,
651,721,159,695,273,119,050,708,894,593,788,227,573,036,953,184,482,254,398,
444,527,782,491,807,694,910,109,602,504,688,653,327,027,472,400,724,817,808,
410,535,821,023,564,462,775,577,037,224,698,247,960,845,236,644,571,366,927,
177,858,299,218,909,824,571,308,482,957,008,223,622,179,910,993,721,620,964,
767,591,396,584,050,080,053,498,740,110,554,375,782,676,292,560,409,480,713,
122,250,719,877,305,306,884,078,934,041,229,456,585,045,457,838,028,182,257,
162,909,309,953,899,454,490,198,734,686,366,166,739,520,048,464,669,749,818,
874,261,733,600,820,925,906,952,855,391,668,397,521,082,689,642,089,280,264,
524,955,572,700,561,074,329,445,674,977,810,041,207,497,088,017,488,017,561,
192,427,953,312,876,571,778,559,313,970,405,214,129,718,658,618,614,149,602,
893,110,190,100,864,729,342,872,183,696,463,217,355,364,425,675,708,725,444,
558,933,684,627,719,137,004,715,485,948,946,444,209,758,227,614,241,641,378,
905,869,004,831,728,327,711,453,204,389,449,122,455,497,555,321,811,107,878,
390,113,771,753,304,208,744,351,582,015,145,419,155,385,292,053,942,580,911,
927,725,834,668,994,174,990,421,205,355,206,985,857,552,993,840,079,001,673,
686,085,981,551,391,873,805,584,605,030,151,425,964,257,945,605,581,667,271,
089,000,717,858,638,194,540,349,037,822,694,756,065,431,935,379,794,019,940,
863,559,976,031,088,912,040,970,182,905,777,574,621,733,649,553,737,176,335,
229,577,947,641,026,739,719,270,147,785,550,059,353,022,029,499,198,732,004,
286,604,953,105,677,891,104,440,694,190,922,989,586,861,542,270,594,588,047,
319,358,118,797,325,918,139,898,140,323,311,878,864,369,967,019,991,665,837,
421,265,020,158,497,367,398,107,202,009,547,857,548,318,083,417,388,933,718,
583,735,575,935,457,620,187,073,778,942,904,563,059,751,684,871,503,893,435,
450,918,693,445,617,439,092,736,232,406,749,929,892,147,069,789,778,687,079,
810,797,550,663,282,024,937,599,437,752,404,796,502,767,433,397,995,861,418,
134,834,308,469,999,873,398,647,885,381,208,236,966,804,017,448,666,335,379,
115,977,636,947,856,509,834,075,939,864,570,303,720,140,258,837,539,823,547,
718,747,194,768,691,237,894,219,866,485,031,912,799,549,994,138,186,033,560,
933,712,153,713,846,893,908,702,278,586,828,439,127,061,144,045,513,398,156,
712,535,009,089,518,615,540,684,819,887,756,500,822,019,430,117,243,647,625,
597,347,124,310,637,576,814,082,576,959,737,031,917,500,173,258,346,098,455,
681,508,164,495,073,305,867,506,152,647,177,478,404,158,177,168,916,901,680,
473,621,040,994,824,802,131,246,383,614,060,914,788,486,012,220,837,746,854,
121,042,857,772,280,862,696,408,484,889,009,108,760,926,570,416,059,507,189,
556,789,611,014,750,265,142,164,475,800,001,451,799,173,978,560,721,524,542,
356,415,257,973,717,197,512,645,901,822,096,514,271,105,921,503,742,647,448,
045,549,033,180,320,240,278,903,476,370,666,825,803,619,018,754,515,257,322,
844,139,532,533,570,898,340,631,420,407,134,649,778,234,871,869,116,807,494,
959,782,441,403,192,222,757,123,003,364,229,281,682,009,640,819,134,106,117,
967,458,200,078,488,157,753,231,884,524,596,818,329,643,928,055,214,678,338,
955,048,242,269,939,061,942,449,421,688,399,672,177,104,388,816,573,094,837,
823,190,881,170,144,328,174,198,931,557,963,948,423,748,913,244,483,918,825,
617,060,500,996,603,803,927,201,804,035,195,630,513,755,633,906,178,222,900,
080,702,908,008,003,380,982,619,519,622,451,346,642,486,799,944,511,864,583,
602,055,310,028,322,597,821,797,232,416,912,254,875,417,104,564,354,068,768,
855,822,520,839,433,083,789,508,151,073,347,319,804,433,390,923,421,935,042,
539,176,989,200,647,502,651,572,978,904,477,084,797,704,667,740,225,415,609,
796,825,216,748,360,207,130,465,006,671,994,298,019,472,531,094,268,196,710,
330,502,072,277,014,201,279,282,255,763,896,232,315,537,681,947,198,665,491,
974,609,486,512,478,546,053,313,300,017,418,342,771,409,829,629,708,943,651,
075,728,624,024,172,262,738,782,334,995,494,295,941,046,745,576,279,950,619,
839,447,404,747,128,362,754,054,557,988,295,979,439,357,465,356,816,960,773,
480,644,117,374,655,009,273,722,509,810,994,610,808,816,226,148,308,290,866,
851,111,879,915,492,312,971,475,228,943,763,747,788,418,298,438,427,756,374,
147,254,077,997,468,781,831,233,827,699,394,018,437,878,005,618,077,735,389,
629,873,226,904,950,097,578,865,983,939,645,848,117,652,137,197,013,805,821,
453,049,189,390,606,539,111,586,299,888,190,375,974,932,760,095,413,836,963,
842,142,272,401,030,998,971,242,860,020,580,100,044,179,622,317,208,347,359,
251,392,925,881,085,446,627,214,971,727,261,585,745,457,855,027,398,492,002,
563,380,325,062,445,517,914,529,228,342,454,650,279,450,331,205,040,527,438,
378,857,753,324,812,132,870,204,681,451,442,843,505,447,344,216,433,104,274,
760,781,913,093,985,473,251,015,242,663,656,382,736,864,119,138,280,396,674,
690,407,590,947,085,515,350,610,404,259,715,288,721,945,328,236,342,158,764,
938,847,728,333,157,837,837,549,806,457,413,653,364,363,136,419,124,223,843,
378,991,121,154,387,716,503,988,383,633,618,153,055,015,760,799,229,206,596,
283,669,974,604,639,389,304,272,119,923,324,350,710,373,662,414,244,196,283,
096,613,820,571,622,472,853,022,306,803,974,292,903,454,783,016,590,730,370,
511,701,154,272,870,932,278,994,797,329,556,397,992,057,390,467,799,134,160,
802,207,257,659,593,992,582,861,935,461,438,928,102,623,625,242,617,545,069,
236,062,776,221,540,821,868,052,410,800,083,885,289,960,597,537,347,707,012,
276,833,158,080,874,110,060,460,524,941,316,543,364,314,025,380,778,824,256,
871,100,255,373,352,504,108,254,767,607,736,253,792,366,507,086,938,319,197,
888,788,007,362,926,772,412,861,082,864,253,735,923,417,588,545,492,170,426,
479,693,336,253,729,685,052,055,645,792,440,111,596,597,735,801,394,604,997,
799,318,758,447,403,677,476,452,994,982,233,158,705,189,045,928,682,717,123,
438,405,403,315,502,045,646,350,970,624,414,452,536,571,312,473,597,568,558,
100,646,170,704,491,273,208,149,610,052,883,664,584,116,672,256,299,801,394,
407,938,470,957,129,198,849,798,468,980,158,606,571,951,609,999,649,664,483,
719,660,840,132,112,499,783,559,673,625,596,268,157,392,806,074,492,899,306,
384,295,985,497,137,172,893,724,958,688,324,388,290,398,254,470,244,066,864,
735,657,696,600,141,140,250,564,856,029,609,658,623,886,932,904,945,153,643,
662,423,334,525,266,751,895,020,094,317,685,356,246,465,625,232,448,573,991,
236,137,722,510,598,631,213,221,425,935,358,107,680,734,943,436,801,350,056,
675,550,774,497,421,087,708,802,405,729,458,153,198,139,399,421,336,198,247,
628,363,205,710,168,161,605,401,964,559,241,419,270,967,597,160,717,348,009,
694,940,207,549,616,239,984,077,289,258,804,582,288,363,540,951,787,023,787,
767,559,367,383,901,442,838,169,183,643,773,252,700,072,560,928,843,090,536,
070,208,573,610,434,306,540,108,704,233,136,699,571,532,944,072,506,990,459,
854,065,720,370,562,123,113,211,672,074,887,397,885,433,125,040,848,640,867,
577,684,047,768,072,278,858,729,370,493,816,912,926,873,060,253,450,084,299,
440,168,211,340,188,173,125,393,137,219,649,573,782,197,441,083,724,028,427,
866,309,187,462,024,259,636,753,952,462,928,492,787,674,754,542,384,978,151,
841,775,928,049,768,879,965,631,327,823,423,903,785,098,921,280,303,348,178,
497,750,615,781,839,882,085,161,485,276,709,239,511,399,491,075,377,144,909,
102,368,904,270,219,500,170,467,542,595,921,514,961,790,599,996,165,902,903,
000,105,557,237,974,116,434,002,208,144,904,344,525,881,311,288,165,009,341,
976,153,921,371,502,131,024,575,435,400,155,888,269,285,643,193,583,592,801,
879,259,486,266,769,422,541,229,067,786,483,892,471,538,935,518,684,135,409,
782,427,193,004,725,324,629,776,118,056,710,463,477,604,159,570,924,754,700,
349,534,746,307,907,169,499,645,303,927,685,833,788,022,318,714,895,403,342,
856,836,515,267,375,163,879,034,437,400,546,966,897,139,868,268,175,411,279,
914,341,572,172,603,196,016,203,827,980,197,250,558,852,485,423,371,961,602,
785,619,165,758,046,771,483,275,672,773,671,447,778,299,790,383,460,106,297,
026,470,737,973,561,619,582,688,416,227,760,918,236,328,670,670,255,071,423,
172,570,513,531,848,506,612,792,043,877,936,948,735,791,137,194,244,530,866,
033,991,276,529,269,486,848,530,468,213,394,769,315,063,487,013,477,340,506,
623,595,845,087,028,503,334,387,954,931,993,493,312,660,636,296,873,461,363,
604,525,082,643,393,450,755,167,384,915,553,639,998,945,462,951,657,461,198,
933,184,807,467,806,764,553,350,628,069,338,071,038,534,983,888,211,712,307,
729,005,620,584,094,002,680,471,382,737,801,287,064,413,338,137,248,885,950,
916,170,143,630,986,807,980,213,699,311,102,677,143,638,410,728,152,597,893,
460,511,565,848,503,005,397,120,817,566,386,264,878,896,266,255,644,576,347,
169,752,511,795,476,649,215,722,756,563,215,099,876,243,487,711,699,328,331,
538,499,007,585,769,161,603,837,082,096,693,897,028,160,418,215,644,938,936,
298,410,728,149,597,820,515,377,639,153,154,197,838,229,415,522,622,030,610,
982,732,647,597,219,034,173,067,644,569,915,769,245,372,761,067,653,021,769,
687,245,686,564,660,572,052,039,953,429,577,222,981,078,106,447,276,448,328,
289,279,208,181,679,610,351,177,789,315,721,297,768,574,156,123,434,920,208,
630,570,361,817,271,782,355,189,316,279,898,477,343,369,767,789,011,611,116,
367,589,021,975,374,393,097,469,409,555,245,724,538,079,933,752,094,435,980,
045,208,778,934,398,560,094,139,131,417,444,182,081,000,654,436,137,774,070,
453,195,531,594,347,502,747,344,597,895,670,785,697,013,767,804,953,101,884,
161,600,820,009,866,122,167,645,877,127,816,267,037,193,464,659,394,154,041,
671,848,570,616,512,599,585,576,665,091,718,323,095,811,233,350,237,773,410,
477,476,002,930,162,046,583,420,388,637,048,947,757,781,303,675,577,088,958,
981,794,710,190,409,267,019,247,293,493,527,586,051,596,758,581,179,663,757,
142,831,747,259,381,420,762,963,773,768,767,364,909,891,036,339,141,948,238,
515,844,266,867,355,151,387,559,816,138,507,589,442,666,907,807,491,531,240,
740,918,745,546,742,423,972,243,205,948,579,691,889,365,438,286,494,389,086,
514,795,595,127,343,959,903,778,346,538,830,735,401,142,929,622,384,811,193,
893,998,451,129,486,276,597,106,340,119,241,568,252,343,746,764,511,206,956,
486,638,664,209,784,170,457,307,217,925,521,496,286,646,445,954,661,865,535,
769,709,938,531,349,374,197,038,873,775,375,352,864,146,411,723,207,235,576,
240,171,044,393,041,248,064,816,464,840,066,048,849,409,532,358,586,878,167,
996,417,272,917,978,044,940,926,555,312,453,477,796,125,550,157,423,170,978,
799,714,838,129,269,891,926,374,551,656,006,307,560,600,303,416,515,454,972,
120,705,745,559,923,612,004,365,170,672,562,355,170,820,069,756,977,658,000,
511,101,555,828,090,361,674,056,342,151,622,590,050,805,671,563,298,820,399,
447,202,093,990,205,818,490,581,082,629,037,258,672,419,980,650,491,697,305,
207,220,934,625,062,825,578,310,098,811,914,289,512,603,309,452,096,688,152,
074,640,086,200,846,733,370,829,734,257,424,857,096,192,384,181,600,064,603,
118,151,102,644,065,153,101,219,370,546,174,934,935,085,687,895,493,103,121,
940,295,773,178,897,198,007,656,047,705,865,606,440,876,630,195,218,862,109,
535,988,432,324,509,540,213,495,899,977,255,984,402,570,683,435,297,205,661,
637,364,595,056,449,497,197,123,807,524,646,949,423,634,143,759,814,962,043,
116,243,381,598,864,843,926,769,495,983,968,873,412,285,375,326,771,742,354,
990,011,331,683,844,545,763,455,766,115,412,173,112,345,142,953,283,457,410,
770,416,680,006,942,672,025,666,496,715,262,044,089,053,827,975,755,422,251,
051,040,950,610,190,336,702,755,970,054,689,659,780,535,089,936,008,746,640,
383,359,005,463,155,348,956,586,981,494,648,176,344,935,815,397,058,509,234,
621,102,541,663,115,716,819,076,813,883,929,153,757,826,633,892,938,508,364,
573,557,215,035,354,289,945,562,686,237,780,795,568,096,835,404,060,020,897,
270,559,342,991,843,223,095,552,943,189,694,779,139,701,268,589,691,591,830,
915,328,876,502,149,931,517,294,719,654,592,640,843,660,694,431,352,607,034,
318,067,442,508,770,136,439,378,354,975,967,489,525,787,063,585,734,989,152,
589,380,510,406,885,757,788,429,301,275,564,213,074,582,260,955,227,161,165,
247,438,160,399,219,764,390,358,335,542,566,348,436,102,255,750,665,320,513,
606,271,136,383,416,236,694,655,367,792,176,407,490,107,649,546,146,453,248,
468,521,098,983,997,007,721,341,438,383,573,356,390,058,898,357,551,673,997,
187,468,796,838,877,234,148,020,913,326,591,634,910,753,717,824,269,520,281,
478,948,645,780,486,064,230,779,104,355,527,876,827,347,933,119,281,482,930,
181,354,634,964,041,069,026,601,660,768,025,380,293,923,076,142,678,326,062,
599,994,767,976,664,147,962,829,942,156,764,923,037,245,915,347,080,126,981,
503,829,817,449,394,461,296,853,432,239,383,939,461,414,273,066,689,605,861,
696,596,928,222,724,430,365,294,146,479,113,826,143,681,539,036,192,639,035,
947,270,064,010,192,838,978,308,703,787,355,005,691,320,069,197,743,866,806,
393,160,072,595,237,760,992,171,539,876,135,583,497,518,931,375,731,610,058,
904,158,894,895,561,506,034,470,047,635,447,476,150,835,717,025,111,087,363,
509,267,685,719,185,898,898,783,449,084,488,138,085,065,405,443,993,588,365,
099,366,871,390,876,171,050,775,684,512,100,677,603,505,810,216,933,801,142,
175,577,414,796,664,873,964,254,318,018,721,163,871,182,433,170,123,103,855,
697,959,218,974,244,948,170,937,094,060,512,954,680,107,620,653,830,506,916,
502,021,527,920,162,099,226,168,372,196,130,730,354,175,833,936,604,628,817,
766,219,526,813,355,712,433,735,580,758,586,088,345,097,546,515,809,066,547,
005,542,605,740,008,743,401,191,830,195,395,889,332,727,853,928,676,627,014,
999,873,588,548,802,757,402,358,946,897,840,737,332,635,630,637,450,925,363,
533,854,400,310,318,354,383,779,667,189,076,398,200,736,111,376,447,595,079,
505,383,171,738,830,306,455,244,098,545,827,433,133,337,605,292,360,258,893,
829,123,872,680,748,757,311,135,233,315,983,594,629,031,268,611,593,797,980,
399,876,026,794,468,735,402,193,233,557,913,950,424,195,571,532,448,862,381,
992,284,247,497,284,849,556,139,040,429,076,187,802,467,376,049,646,977,386,
191,454,383,065,069,995,022,448,036,182,239,849,852,514,775,974,912,803,191,
602,433,994,159,451,093,691,352,293,083,974,924,517,198,822,069,772,611,807,
945,094,349,361,448,307,095,371,611,743,859,066,583,785,087,762,234,242,363,
051,162,545,620,335,289,203,737,341,700,481,926,479,241,769,443,078,691,529,
781,310,250,812,882,135,949,321,482,862,190,455,406,256,091,191,986,969,753,
825,293,876,381,390,600,113,019,191,354,401,794,435,392,003,453,628,208,197,
866,239,019,661,561,914,778,753,319,567,115,348,446,380,916,051,068,725,731,
889,785,592,532,774,424,392,474,844,925,237,105,964,552,356,685,336,617,102,
852,907,652,607,176,256,557,306,885,497,474,148,534,311,911,587,737,088,271,
437,483,423,490,766,890,553,657,812,730,922,805,309,956,207,492,701,328,401,
297,692,053,009,878,944,278,695,161,595,556,096,781,446,378,123,241,693,504,
644,915,811,038,557,337,903,771,658,259,312,399,909,607,404,658,378,649,835,
415,468,481,952,910,471,609,303,144,548,448,851,716,643,768,179,019,162,965,
445,072,297,723,477,136,915,363,304,331,274,274,244,472,191,210,112,766,850,
230,663,780,388,867,398,958,227,442,736,325,095,283,863,062,266,076,140,030,
336,749,186,274,012,899,344,306,276,117,740,337,797,280,525,125,517,061,491,
306,114,653,774,058,804,751,582,179,985,773,261,100,157,343,607,839,345,466,
019,644,902,123,565,256,093,468,222,933,817,593,907,569,504,097,211,847,616,
379,726,560,538,232,042,948,460,168,020,282,405,216,304,130,551,015,633,179,
915,452,955,473,479,580,111,241,798,798,972,809,236,269,317,096,800,471,732,
530,820,773,658,668,496,140,323,495,147,744,218,957,065,777,108,053,385,071,
519,108,887,360,012,977,331,983,687,572,290,234,154,518,881,467,909,668,908,
232,651,389,577,707,107,848,153,127,381,534,917,715,553,931,129,049,822,429,
451,324,219,684,711,508,456,968,855,816,182,902,333,882,444,336,615,302,359,
694,219,244,109,868,701,919,352,288,543,044,182,675,721,971,746,572,956,390,
104,456,724,214,510,074,131,311,984,617,114,679,411,930,424,722,293,293,886,
706,567,565,597,748,296,475,203,815,811,738,428,367,306,782,154,782,835,914,
701,765,497,976,057,791,670,503,027,872,561,425,130,974,648,431,586,354,846,
594,550,582,783,278,440,450,340,788,539,745,267,200,755,428,523,778,609,487,
325,239,713,483,026,308,967,977,781,224,038,985,366,090,360,568,107,342,026,
659,679,045,195,393,257,915,622,075,049,643,295,138,913,466,640,198,128,831,
470,217,385,506,305,244,254,423,934,573,371,697,417,311,854,441,659,676,237,
685,710,418,771,169,529,386,498,566,828,418,931,380,775,371,688,863,826,834,
702,170,487,350,681,755,820,284,943,200,955,675,288,889,865,762,541,145,055,
014,733,917,196,617,802,524,044,199,782,784,778,718,455,546,617,525,130,188,
163,429,775,485,884,740,132,187,268,406,100,663,085,929,977,465,826,658,389,
428,873,351,092,423,177,077,696,483,473,741,437,515,591,427,710,048,875,734,
485,938,516,558,363,420,368,798,000,928,863,371,606,198,848,512,344,479,246,
706,216,010,110,287,318,568,485,950,502,784,847,912,320,735,054,500,955,882,
450,428,173,865,311,703,094,296,046,150,642,782,630,953,807,236,979,173,846,
752,510,677,986,257,104,164,947,287,324,961,762,229,934,639,674,244,318,250,
140,353,682,093,084,683,449,122,135,581,657,727,401,086,303,833,108,794,426,
158,457,736,310,301,759,245,012,367,728,693,533,245,077,062,977,572,942,829,
080,712,920,976,318,132,652,243,669,832,147,391,602,969,938,542,287,218,598,
684,768,386,197,544,753,045,993,163,023,572,086,342,029,954,836,856,209,035,
068,667,431,921,419,578,845,368,536,555,704,651,294,268,443,379,592,765,600,
832,891,197,973,487,921,207,819,105,027,626,040,776,067,583,257,049,020,621,
661,233,517,107,880,944,764,494,269,939,780,367,263,681,087,229,216,644,417,
245,018,955,907,895,024,495,665,844,790,729,986,916,274,831,668,954,840,043,
752,393,992,154,483,724,611,191,549,322,595,794,213,442,017,481,797,500,509,
855,829,870,906,528,047,886,613,402,516,119,388,428,084,143,538,470,910,203,
623,616,352,694,005,566,843,463,128,339,949,325,846,972,120,250,478,450,682,
592,009,334,113,068,040,776,154,405,970,365,790,138,855,709,177,196,233,883,
410,016,047,487,723,717,972,322,112,961,401,474,704,575,806,559,961,441,188,
615,078,705,148,541,194,769,469,987,282,516,211,807,002,230,321,366,047,844,
713,878,465,650,389,734,502,275,567,531,588,762,214,584,194,763,287,707,107,
411,928,510,338,200,071,030,049,440,013,459,142,463,835,482,792,406,323,722,
628,365,815,889,773,479,062,648,540,113,319,271,092,533,886,972,601,366,928,
732,001,915,036,808,622,712,250,166,469,546,863,317,206,879,183,852,767,909,
451,308,577,668,426,068,715,238,008,963,872,287,224,445,556,771,139,167,749,
633,665,131,231,204,045,007,314,962,301,527,939,072,074,092,721,452,247,858,
765,300,860,503,448,188,406,128,766,944,589,898,865,550,311,748,948,682,730,
639,430,998,619,639,328,632,004,494,738,100,816,113,837,011,791,812,088,331,
019,393,334,745,260,434,579,483,408,771,047,629,994,668,514,175,833,798,638,
520,074,401,343,904,076,774,809,008,566,016,035,651,547,505,556,103,375,435,
805,629,656,880,774,266,085,076,488,439,224,048,684,384,206,344,991,033,383,
373,605,021,258,988,174,032,105,573,156,738,823,519,737,442,866,060,756,030,
642,933,422,085,982,288,005,901,398,959,488,703,817,405,084,757,979,516,788,
021,202,078,089,494,336,029,198,687,963,641,010,219,153,285,047,956,590,713,
522,051,217,257,859,324,001,462,723,329,640,692,541,014,690,373,553,728,800,
278,986,403,462,344,963,598,486,423,304,868,248,010,139,720,722,371,397,961,
939,398,442,225,175,252,594,293,754,645,323,641,848,949,264,615,349,380,264,
068,438,918,939,864,560,833,206,764,869,396,744,249,615,706,021,514,698,421,
314,237,013,486,887,330,192,217,730,609,080,389,673,882,107,867,025,395,877,
649,416,372,820,588,615,512,633,666,212,687,339,908,715,118,368,036,956,421,
477,093,984,624,285,449,611,373,619,096,142,188,365,155,729,100,950,386,299,
500,572,643,621,455,505,755,448,503,000,341,939,511,171,838,571,185,403,308,
372,301,893,580,857,414,726,908,926,715,169,060,157,208,270,629,754,597,928,
894,172,905,030,855,252,509,410,595,955,088,829,232,375,623,789,899,681,304,
603,950,602,327,295,664,613,422,722,864,728,213,390,969,287,168,827,169,465,
919,769,334,505,548,875,574,591,891,779,002,594,796,630,507,954,766,202,264,
799,715,204,154,124,084,977,917,372,331,621,726,224,376,348,422,116,680,884,
441,684,018,160,430,021,383,559,950,140,278,526,704,245,328,199,494,054,646,
070,762,631,320,337,422,240,763,895,108,120,648,288,190,589,045,329,272,149,
643,420,601,144,787,386,020,689,624,171,158,461,869,856,999,586,147,305,995,
969,822,244,743,888,818,384,165,065,652,801,282,535,996,551,979,989,216,488,
396,931,114,770,925,725,327,150,523,050,511,509,100,939,928,144,169,279,253,
063,185,101,903,824,080,446,577,353,186,973,376,412,491,606,219,781,262,167,
598,835,401,848,988,013,085,427,988,473,174,289,695,867,604,179,076,068,878,
429,573,397,604,083,537,964,988,093,117,648,054,900,068,171,547,215,317,386,
197,111,782,380,031,529,249,259,372,534,989,572,194,501,175,490,535,579,960,
933,961,810,115,856,852,223,427,022,655,716,264,107,210,299,947,452,218,620,
894,130,144,920,382,980,603,980,670,215,828,413,941,205,740,981,126,852,543,
570,948,156,357,261,263,173,552,493,571,097,841,633,862,116,597,910,367,923,
389,764,030,492,236,502,404,225,449,932,792,007,175,289,766,743,627,581,733,
256,597,250,984,911,546,042,298,823,263,617,866,849,557,267,105,240,700,666,
617,328,061,786,647,176,031,932,475,863,611,640,807,330,558,481,685,628,910,
539,988,226,167,360,663,255,654,209,899,049,225,024,495,658,069,856,444,361,
951,010,769,813,329,031,146,300,627,486,651,666,742,441,360,957,092,546,555,
361,930,440,892,399,790,625,876,123,084,875,141,888,163,914,527,146,234,077,
487,486,671,747,658,136,593,129,682,715,514,793,687,147,906,303,915,322,448,
558,159,385,354,208,519,676,741,797,175,468,073,539,920,986,355,065,305,650,
255,028,604,926,531,104,759,527,800,962,223,590,968,615,435,545,654,504,342,
488,512,413,554,543,271,256,984,699,229,029,816,508,832,485,232,285,911,749,
778,621,834,444,671,882,720,487,484,448,380,314,835,731,229,031,411,937,957,
472,620,792,904,730,593,428,297,226,442,666,273,435,272,570,117,605,557,317,
674,570,329,255,307,425,872,635,007,030,882,131,290,983,091,907,362,992,576,
403,120,770,655,103,348,787,211,555,395,214,456,937,788,856,543,209,769,247,
106,938,124,425,738,705,393,420,734,180,436,121,975,906,930,292,452,919,718,
739,793,391,326,968,747,571,658,975,795,332,632,362,095,972,276,107,273,612,
024,995,405,661,552,059,197,720,750,890,911,388,673,345,713,117,993,877,259,
163,257,882,784,119,141,782,935,018,920,084,091,081,873,395,891,116,109,622,
050,119,768,659,859,881,446,596,944,229,713,257,254,183,313,927,496,526,134,
920,448,113,820,389,323,240,609,093,807,874,445,584,764,591,175,590,034,695,
039,506,221,376,406,282,843,464,478,380,563,085,683,814,294,844,279,810,589,
843,453,269,773,627,704,961,746,949,390,369,458,080,116,911,916,664,010,543,
615,797,331,855,764,213,348,732,603,700,846,093,140,210,138,718,960,693,578,
260,671,764,393,956,350,830,739,002,440,617,394,596,611,344,914,569,974,020,
663,550,141,438,795,551,362,674,832,570,367,260,930,521,707,480,873,603,663,
269,891,084,808,595,261,037,890,420,298,523,363,126,651,144,632,972,035,139,
079,741,005,780,208,329,377,267,250,286,103,742,999,592,858,079,250,429,102,
225,260,848,607,612,177,509,669,247,749,395,041,046,378,932,937,851,121,296,
717,753,181,127,122,264,009,251,632,079,794,331,061,053,647,916,157,049,359,
843,940,661,348,363,687,329,369,249,401,226,281,466,448,201,220,657,851,998,
728,048,441,833,203,349,523,548,529,770,963,856,225,186,404,006,347,329,640,
949,600,776,030,018,975,778,907,018,692,584,293,103,558,976,459,224,112,403,
315,610,515,459,254,227,548,849,841,809,724,883,980,975,080,636,463,175,252,
418,229,777,700,182,538,044,320,653,172,972,619,876,643,768,461,860,382,731,
251,341,113,641,542,824,477,472,967,857,009,342,906,783,752,356,208,140,343,
038,024,828,682,541,163,937,327,054,799,255,038,282,397,524,386,072,162,134,
870,057,094,644,152,744,950,641,463,311,356,732,999,358,424,916,963,981,367,
428,381,157,759,290,941,257,257,013,292,668,865,235,789,621,580,008,510,034,
162,256,194,836,133,309,729,783,516,545,513,428,886,060,656,606,464,490,308,
194,338,906,039,124,467,774,587,185,452,821,633,637,560,299,914,781,686,149,
358,244,766,259,304,961,326,882,564,990,784,116,183,082,494,397,614,609,568,
718,044,848,172,247,732,635,300,064,241,412,902,964,650,536,982,424,824,443,
720,888,230,941,574,962,161,876,627,496,712,304,906,994,026,479,700,935,832,
587,757,436,984,523,451,732,152,787,505,224,511,936,026,525,228,635,387,637,
866,497,641,748,376,774,785,316,660,658,337,229,449,433,088,157,688,104,104,
494,617,127,823,891,682,259,328,056,052,286,926,510,491,296,734,657,806,492,
751,457,409,264,647,689,372,471,973,003,590,877,078,953,619,288,351,429,794,
043,225,375,120,395,982,952,847,399,968,084,617,400,134,807,033,807,290,705,
844,967,295,002,299,964,457,999,149,322,469,325,045,325,293,210,943,897,175,
361,435,113,720,144,679,253,164,303,710,739,025,436,694,253,524,362,167,824,
862,963,140,752,942,110,647,040,120,507,041,628,278,690,861,328,955,071,862,
880,194,454,968,318,916,603,333,389,450,377,470,782,374,150,939,251,359,040,
778,052,118,453,355,487,225,521,637,794,037,797,385,805,987,785,353,270,021,
415,348,325,418,080,857,736,670,795,376,675,223,324,973,034,761,788,597,753,
280,833,938,695,131,858,495,104,430,475,181,755,847,348,377,744,213,367,633,
214,709,362,889,396,961,177,331,227,447,029,605,122,675,891,717,653,379,551,
938,097,958,965,743,429,461,915,989,000,553,761,855,803,107,723,834,657,086,
142,313,994,859,791,670,621,380,867,924,735,622,518,689,643,397,249,832,311,
407,136,165,866,323,825,177,449,011,887,633,846,607,704,689,466,831,290,299,
498,260,038,612,694,989,007,372,211,660,602,304,076,498,895,625,314,008,886,
095,132,180,952,763,168,842,987,281,435,069,332,024,780,153,526,170,440,523,
978,994,923,785,090,640,600,196,406,268,899,041,248,055,639,832,726,560,848,
453,551,703,467,688,643,764,594,305,452,258,439,727,454,906,286,976,925,320,
232,711,347,197,342,324,528,896,504,834,510,975,245,199,330,899,453,278,963,
801,268,849,998,176,916,432,883,893,963,766,723,341,794,744,631,034,246,866,
462,576,773,755,182,858,039,048,283,727,331,944,014,379,269,021,137,264,653,
762,983,626,227,070,740,492,026,801,892,220,732,570,503,559,006,001,423,201,
299,528,628,801,446,593,193,662,962,403,744,391,996,260,637,947,453,349,057,
288,743,141,289,448,885,270,585,913,215,934,002,194,239,824,153,605,214,939,
942,754,509,356,066,699,549,199,763,854,546,366,453,495,650,368,681,484,946,
608,754,334,289,950,466,805,823,501,675,539,123,684,822,474,433,610,694,258,
959,180,921,307,874,125,078,226,704,436,310,348,433,707,329,195,076,498,971,
962,612,953,888,858,165,072,859,021,972,627,136,724,513,570,303,656,567,137,
213,980,025,318,780,749,638,937,396,954,533,240,784,560,242,450,012,782,483,
195,390,895,819,673,693,828,929,364,438,752,135,330,054,241,822,637,448,128,
046,083,572,763,726,920,540,875,816,898,694,930,931,920,589,592,541,734,594,
662,291,955,937,627,382,368,321,206,122,473,301,637,513,699,338,934,789,608,
735,104,849,999,566,241,824,236,233,592,687,569,456,216,978,608,411,380,192,
892,250,905,101,085,558,492,231,986,970,000,211,718,859,912,306,895,847,901,
828,004,504,040,214,849,925,130,830,095,963,135,644,772,538,832,146,753,317,
364,474,640,598,494,030,423,864,674,062,492,705,492,461,991,142,905,299,799,
402,884,193,857,807,144,808,185,368,754,224,110,254,695,114,105,729,618,891,
697,867,678,127,001,870,083,204,422,243,894,716,968,538,758,355,867,307,156,
345,545,774,720,517,410,825,915,175,519,736,543,109,500,385,959,933,785,772,
006,326,774,135,884,217,442,313,015,659,774,043,870,710,591,507,478,955,177,
222,159,511,502,892,695,290,649,618,258,425,681,115,704,377,157,368,901,068,
247,485,792,891,390,720,794,459,090,904,661,744,408,999,316,635,399,697,024,
057,530,130,761,237,414,388,715,488,280,710,321,096,941,790,290,729,376,143,
344,795,794,263,871,395,545,151,865,644,166,827,075,668,486,516,252,850,731,
562,901,171,522,404,224,289,421,953,151,200,874,792,032,882,992,143,091,760,
913,893,923,260,769,366,732,965,419,501,952,785,555,640,711,736,858,737,425,
731,802,244,479,130,491,754,367,279,833,851,759,905,699,192,251,559,455,033,
167,005,445,743,303,622,190,305,936,524,857,305,829,156,443,014,980,210,592,
376,634,205,437,911,993,559,153,026,080,374,226,718,743,599,164,927,220,934,
248,864,384,232,850,061,151,623,771,678,444,319,813,096,963,026,327,699,308,
990,081,287,199,711,435,776,222,407,573,348,789,407,713,284,869,967,397,899,
054,330,439,643,384,106,717,459,796,377,283,570,300,795,321,680,981,473,859,
764,146,592,823,299,937,598,141,551,188,486,707,306,678,547,739,241,117,763,
682,987,005,661,273,967,800,897,349,560,848,597,705,403,764,535,406,630,195,
032,446,345,665,681,648,074,543,845,226,596,560,872,652,201,154,798,046,338,
823,944,702,611,197,773,325,033,366,265,703,528,183,043,701,788,017,721,663,
462,757,497,363,847,913,871,526,915,741,873,850,181,284,854,373,635,379,047,
641,922,405,200,839,581,097,179,157,712,819,913,983,661,864,233,316,074,885,
479,605,164,700,040,342,857,022,005,758,409,803,207,482,002,536,774,287,139,
561,783,804,835,796,628,814,844,621,966,541,932,534,002,388,380,631,550,281,
949,383,433,382,243,283,181,181,832,683,845,262,020,513,959,280,138,376,671,
502,818,265,745,988,821,595,069,691,150,978,777,534,471,326,291,033,739,369,
336,462,995,081,042,993,230,367,815,909,524,370,857,631,329,779,812,537,308,
516,936,571,634,725,178,832,509,925,069,024,441,658,752,120,286,524,017,894,
746,215,605,353,382,802,928,517,842,250,975,688,424,722,003,404,517,015,233,
400,145,390,579,528,943,334,022,514,572,235,523,025,486,474,533,406,678,574,
350,375,433,786,840,452,516,736,005,758,151,148,346,006,442,448,681,080,042,
292,372,074,713,567,654,955,892,983,347,159,871,704,267,909,200,274,599,809,
262,189,072,561,221,169,885,804,170,646,651,356,185,589,372,072,965,241,066,
185,327,772,169,119,077,873,119,162,044,865,948,342,850,249,840,631,584,816,
940,758,222,441,581,328,937,365,920,609,706,105,820,222,168,247,352,599,801,
715,970,083,277,880,145,915,948,604,682,155,136,931,528,714,557,313,496,968,
241,132,129,688,863,272,599,594,217,222,791,618,700,021,339,659,342,443,680,
468,823,640,334,508,719,047,753,903,042,968,754,621,775,102,850,392,445,915,
247,603,109,240,399,192,752,280,290,278,383,429,039,413,308,305,781,310,983,
212,515,882,130,855,402,660,010,826,295,198,801,326,638,249,208,810,089,965,
792,236,169,720,558,911,112,349,124,463,113,294,109,400,322,191,911,098,085,
210,291,015,859,683,669,265,136,299,553,799,546,010,876,906,878,654,436,898,
521,180,161,108,579,800,187,025,429,941,095,333,255,389,071,306,623,500,429,
897,526,809,087,032,225,677,616,146,329,850,767,396,047,595,238,743,502,487,
981,448,123,710,936,878,252,722,990,215,268,712,693,147,480,708,643,540,607,
339,746,931,871,135,320,769,359,639,603,509,242,912,780,247,318,052,463,045,
865,320,791,537,257,050,115,670,418,383,680,863,447,999,821,170,115,562,925,
300,911,141,100,608,998,725,776,687,968,339,918,751,042,751,151,997,401,677,
633,326,156,364,771,711,724,957,954,431,425,970,732,704,443,106,958,924,276,
552,182,319,852,713,140,461,607,237,208,776,929,029,925,984,590,461,736,886,
723,147,580,926,477,796,140,215,109,439,865,913,077,475,471,642,558,580,463,
955,477,293,987,080,957,748,032,600,466,302,565,634,994,521,646,155,551,545,
466,635,099,072,538,148,936,900,021,234,869,787,487,506,112,910,466,794,181,
773,746,520,140,062,175,885,198,531,269,995,223,839,726,298,359,349,924,057,
173,469,962,477,554,826,201,893,178,163,557,043,460,198,601,321,199,609,443,
685,061,988,209,485,075,702,359,677,974,711,726,500,825,604,202,252,998,125,
209,586,664,560,782,065,987,733,569,866,773,775,111,930,297,217,619,584,021,
304,041,285,111,576,939,031,429,956,667,701,502,976,258,724,534,259,353,805,
085,982,003,278,108,303,403,202,991,789,373,763,271,018,123,983,581,318,544,
997,034,301,053,058,814,541,779,270,667,731,967,468,646,126,034,254,245,291,
795,365,121,747,862,098,414,503,951,490,187,342,306,830,474,985,391,645,476,
717,811,390,654,658,454,527,283,602,777,057,534,217,580,951,434,755,108,834,
149,954,019,290,267,234,251,761,874,625,916,878,687,397,044,077,699,637,567,
747,069,699,858,875,380,830,177,314,167,114,501,891,496,001,512,176,036,926,
804,493,423,021,250,180,592,007,040,320,622,293,078,460,129,971,549,535,683,
597,016,686,866,114,900,480,389,857,973,210,640,548,890,566,655,254,452,089,
240,095,846,900,842,469,692,685,774,299,318,722,762,977,460,450,180,672,206,
748,827,124,000,950,293,198,371,599,648,720,593,779,972,966,687,942,810,373,
608,736,352,294,642,692,707,474,880,868,768,453,299,554,200,193,032,573,384,
960,481,500,043,030,584,169,967,960,036,900,654,518,539,052,101,313,974,844,
470,028,754,851,506,087,741,763,393,170,363,177,831,643,386,228,872,840,174,
401,580,618,730,519,751,604,534,012,192,621,801,664,144,551,856,483,650,784,
341,392,116,030,563,613,387,505,818,131,426,879,013,046,776,863,111,075,788,
706,180,282,737,221,533,272,740,447,373,746,113,288,833,720,332,237,618,146,
644,795,877,677,218,146,134,604,462,237,506,093,497,688,075,690,912,111,779,
637,504,381,470,247,821,843,888,257,812,622,978,448,285,071,984,387,604,233,
571,927,273,760,702,733,327,765,668,572,186,851,395,010,780,672,258,480,366,
793,024,524,629,900,807,583,323,168,704,352,875,274,085,436,181,077,690,116,
303,067,217,288,725,919,267,888,437,388,331,498,154,954,382,258,373,881,705,
022,167,292,257,302,078,064,389,856,890,383,994,214,642,210,780,810,275,697,
787,024,216,351,944,082,469,149,165,064,949,588,739,950,352,379,996,681,791,
782,367,838,302,097,863,071,723,080,237,326,380,567,237,038,030,155,128,877,
816,415,149,731,755,489,347,375,747,934,664,771,303,347,522,623,141,992,615,
909,720,981,779,012,833,242,791,529,898,041,906,233,050,212,663,887,519,479,
339,435,312,957,248,761,113,618,681,719,272,738,055,307,005,641,392,337,754,
108,676,437,048,270,445,460,011,850,416,170,938,951,782,075,783,952,476,325,
876,580,117,144,721,581,121,691,545,070,357,231,289,883,336,112,035,129,565,
301,285,691,071,725,144,843,836,627,385,592,199,827,117,003,436,957,851,968,
670,898,191,388,168,097,219,852,208,051,803,135,645,115,819,709,923,994,671,
264,157,494,172,218,003,679,045,495,553,839,940,408,059,379,483,746,168,612,
764,983,269,623,248,764,488,585,630,081,224,624,655,646,060,183,983,723,666,
594,653,833,626,709,638,444,398,494,240,939,843,616,007,139,998,179,493,303,
247,624,370,119,024,761,950,398,656,946,843,198,856,605,970,914,406,341,654,
911,539,280,279,865,908,765,100,262,392,807,954,400,991,480,615,555,112,248,
799,008,415,516,800,933,029,645,623,116,939,049,128,854,590,288,673,255,412,
997,921,032,549,047,445,932,257,066,274,535,177,907,735,587,244,375,284,362,
141,697,111,559,779,279,822,028,463,547,866,309,342,197,806,635,685,498,726,
918,797,563,051,833,797,864,671,885,572,559,472,794,688,898,127,772,507,134,
670,133,663,909,602,949,778,215,870,196,474,505,677,989,296,173,772,860,017,
832,949,150,985,806,402,345,502,645,504,641,997,888,515,577,167,270,666,087,
199,158,690,931,799,768,068,091,750,194,799,828,773,678,024,189,101,441,836,
909,445,699,960,721,331,514,746,114,070,375,820,540,505,467,319,642,748,991,
695,992,624,024,400,378,643,207,075,944,271,843,606,055,738,498,396,520,067,
746,671,144,808,301,656,351,100,807,315,328,720,849,195,615,167,293,932,713,
002,097,382,508,413,749,331,215,752,663,257,507,948,580,714,506,750,321,430,
920,481,636,078,864,573,439,194,136,651,987,991,803,052,073,900,015,233,696,
077,755,414,751,936,077,909,887,102,782,449,001,607,856,045,414,574,015,694,
493,635,604,425,333,380,080,003,392,557,306,790,914,285,122,696,659,399,232,
121,711,570,926,102,188,817,642,279,410,632,220,824,454,877,332,799,159,244,
347,200,876,747,043,769,720,229,056,009,073,372,474,061,311,581,277,191,939,
006,052,566,166,704,897,034,690,867,052,850,982,813,254,542,139,521,883,959,
834,315,244,720,371,490,635,324,343,366,861,024,837,368,132,748,824,190,644,
248,932,192,522,330,330,125,309,547,638,233,020,485,191,831,605,271,120,329,
971,208,119,152,629,434,346,037,002,169,998,364,878,799,546,669,354,167,045,
267,637,808,366,973,256,979,194,965,889,084,627,861,271,593,857,068,135,343,
155,810,980,490,508,729,351,558,148,902,675,893,289,074,660,910,725,728,371,
194,700,968,511,595,851,671,289,813,873,760,422,072,904,794,128,179,373,615,
109,928,901,092,651,223,055,014,787,074,102,451,362,685,339,633,624,295,572,
773,493,008,226,616,771,411,879,050,575,731,319,973,785,428,440,511,559,923,
731,535,065,814,921,598,543,687,812,842,349,276,528,801,403,914,451,929,489,
371,180,634,831,043,201,777,174,949,969,471,764,370,156,551,614,368,039,625,
764,518,787,103,200,561,728,032,643,093,919,287,260,567,721,405,533,276,912,
996,554,927,223,013,715,243,072,269,425,549,949,817,628,392,438,051,657,042,
195,559,703,401,576,705,637,531,804,815,605,256,341,980,688,688,952,259,486,
437,869,469,635,701,291,648,967,958,891,776,575,383,888,370,300,349,851,781,
468,523,990,018,887,302,975,753,588,363,359,182,353,814,919,894,418,151,596,
894,364,278,973,645,378,668,067,228,205,226,925,538,672,454,572,988,830,076,
735,300,994,446,328,704,448,758,745,683,399,743,225,832,120,206,397,790,962,
530,167,157,688,150,315,096,635,232,912,470,811,663,015,200,556,246,922,175,
323,996,289,987,458,235,638,971,814,009,153,064,660,929,625,429,646,404,772,
796,303,933,339,161,520,687,721,647,761,582,177,077,057,023,227,447,479,949,
368,420,632,604,478,289,663,395,351,234,937,282,702,598,780,902,490,002,701,
915,861,788,959,352,915,080,526,498,063,986,785,682,642,505,980,540,863,695,
489,688,595,364,500,623,901,008,024,592,100,523,227,342,639,878,333,518,301,
676,412,257,094,395,218,462,493,117,783,560,469,690,853,393,905,077,534,677,
626,624,330,069,903,992,688,116,923,758,347,743,638,732,268,520,423,372,276,
031,568,027,090,310,252,441,312,259,224,432,168,913,950,719,068,707,174,894,
540,857,270,142,208,172,490,457,212,650,381,030,034,405,354,597,789,252,786,
502,769,521,765,123,449,127,214,470,175,012,649,912,637,987,631,037,922,061,
640,251,480,389,915,528,481,244,788,528,518,789,753,219,499,133,835,069,767,
069,146,903,557,621,545,748,446,950,801,350,457,860,740,867,165,870,565,813,
345,389,205,996,066,870,235,678,770,346,295,342,235,228,117,769,096,071,109,
338,570,588,969,650,864,740,892,163,036,541,442,789,855,409,181,023,898,421,
428,851,644,743,431,702,263,666,811,995,831,971,434,979,441,058,240,532,931,
122,708,257,651,563,502,287,190,342,422,371,240,144,213,156,922,769,450,849,
120,499,538,954,816,387,710,655,424,143,692,487,746,892,031,856,230,837,015,
861,598,563,058,847,897,627,097,823,526,545,419,510,137,880,266,300,004,077,
778,109,974,665,148,909,133,482,383,587,732,943,765,326,332,388,039,544,016,
420,516,791,990,503,440,741,431,605,882,347,945,993,621,043,603,636,039,173,
665,138,159,310,185,047,222,606,666,666,317,235,779,339,800,416,628,207,543,
333,555,119,517,177,846,359,273,135,428,587,466,666,151,062,393,895,910,703,
779,932,099,115,089,709,370,515,952,218,799,246,895,127,430,686,160,763,078,
646,475,891,111,324,961,044,913,941,880,647,410,939,473,341,895,701,789,937,
390,860,179,270,047,458,414,223,401,667,112,474,181,157,477,749,252,593,382,
673,579,983,962,706,982,575,225,840,495,758,044,495,154,117,685,541,126,135,
031,332,294,675,826,601,328,487,914,013,071,191,141,525,372,593,414,320,880,
811,337,604,239,438,815,109,684,700,472,324,091,300,347,910,415,364,634,665,
800,968,203,868,714,205,611,361,506,385,877,774,329,735,738,358,417,411,135,
035,967,467,706,416,321,848,350,107,354,439,531,261,380,841,195,748,891,914,
337,479,101,877,361,010,445,871,493,417,410,115,544,998,347,486,743,096,215,
901,573,365,635,283,726,018,146,428,806,575,008,724,137,536,508,474,975,853,
800,378,588,435,493,105,869,198,867,654,306,239,697,445,314,390,750,184,099,
784,223,455,556,833,278,692,274,455,584,237,055,237,349,638,761,379,931,759,
042,547,355,197,419,836,907,163,285,379,384,245,546,361,712,741,184,306,256,
314,795,796,587,607,845,895,144,473,299,440,252,292,037,219,879,051,214,457,
244,185,535,290,077,380,447,414,049,877,787,039,197,275,261,434,152,080,237,
132,952,925,845,547,597,287,512,463,130,033,175,937,337,051,002,661,958,876,
539,013,091,799,852,631,764,464,176,265,931,392,536,833,731,300,830,004,059,
735,433,430,658,443,301,087,153,376,802,005,893,229,666,395,724,287,995,960,
754,068,357,299,535,302,834,115,708,302,134,149,576,090,427,754,788,159,743,
342,791,523,366,206,114,245,490,595,357,751,222,657,458,473,957,201,827,974,
366,989,850,677,932,267,656,244,391,504,620,629,171,097,181,830,104,587,212,
846,319,282,439,991,333,130,404,756,998,545,765,256,823,917,361,412,994,161,
400,289,651,492,777,022,490,634,330,016,044,654,858,457,590,715,618,807,016,
711,904,255,856,084,282,799,495,766,525,226,367,034,904,536,965,262,931,326,
737,760,218,391,476,990,893,433,588,587,070,798,203,933,015,037,835,025,789,
514,979,227,785,666,251,706,443,785,782,116,339,270,690,045,425,358,911,189,
736,202,185,478,279,541,363,468,117,405,569,933,470,718,281,724,399,977,110,
543,637,407,568,977,506,133,434,415,676,623,751,974,791,119,317,810,156,638,
750,528,459,487,177,820,815,881,471,175,143,394,979,497,547,651,297,617,184,
809,664,155,639,213,554,201,592,863,721,654,314,807,291,447,469,947,236,612,
123,059,739,658,911,640,363,722,657,371,298,025,062,138,300,980,801,827,148,
307,098,553,640,808,090,428,861,070,542,518,164,204,462,478,935,610,851,876,
596,553,735,526,767,942,390,011,119,599,834,139,838,116,506,920,827,537,155,
591,915,313,136,685,838,341,236,190,902,510,391,954,517,109,932,201,205,779,
125,903,253,720,002,616,446,197,137,061,501,318,434,363,441,522,872,505,521,
359,581,876,579,339,437,491,299,247,242,112,020,570,469,140,173,809,294,327,
267,745,593,528,613,195,288,397,339,973,406,497,527,536,188,066,275,945,440,
251,486,719,114,162,432,659,928,190,026,488,348,889,719,434,573,185,848,860,
875,384,303,151,678,284,756,913,119,997,654,370,589,123,627,155,912,023,145,
239,302,066,261,463,223,959,922,954,568,395,384,622,047,591,256,658,397,434,
534,768,158,158,687,999,944,274,863,698,182,104,332,310,657,904,739,935,091,
483,844,931,286,584,256,697,613,381,394,722,617,150,136,994,687,640,031,953,
001,562,753,419,874,659,249,937,768,897,873,678,452,638,008,743,133,051,249,
295,935,501,716,367,288,330,049,436,779,830,871,743,961,120,609,603,610,089,
010,084,820,109,738,696,978,879,084,825,785,450,635,750,945,255,837,950,870,
892,154,933,459,102,901,625,582,784,338,824,402,728,857,880,438,878,124,624,
824,832,253,652,499,035,136,529,617,381,920,205,774,695,466,784,541,128,933,
580,173,842,021,092,711,139,308,684,065,036,715,269,425,411,378,448,501,762,
642,778,832,388,892,594,490,786,011,485,009,128,917,135,817,914,301,125,878,
082,269,512,571,811,957,415,490,082,087,687,302,345,233,193,851,713,908,234,
101,901,622,189,628,955,850,259,703,440,346,433,143,248,477,020,146,555,539,
943,571,927,612,336,424,717,225,676,499,994,045,766,033,033,801,156,089,143,
490,182,597,977,074,381,695,987,560,244,997,564,200,572,303,909,655,478,557,
603,693,074,836,673,839,627,206,158,439,130,716,322,270,610,639,548,908,025,
210,415,315,285,631,380,146,259,854,998,688,857,098,277,905,270,434,570,604,
291,390,190,679,958,938,369,584,745,303,844,227,872,023,253,640,587,933,133,
478,164,255,161,595,486,646,108,696,287,043,023,904,554,841,756,182,187,075,
602,273,319,568,179,351,737,199,889,281,163,316,142,588,514,909,812,433,877,
486,164,413,490,430,957,878,091,004,432,156,421,530,476,641,431,702,255,168,
526,364,802,437,534,354,078,692,591,816,694,619,803,807,437,791,378,991,153,
793,008,274,353,275,853,437,125,166,219,821,921,774,468,569,372,195,170,236,
431,284,163,490,157,150,924,649,816,565,105,461,694,987,962,691,606,184,657,
207,446,577,339,231,648,413,914,648,024,895,893,254,528,502,033,622,447,057,
478,969,815,587,967,764,977,743,972,458,301,714,604,974,965,828,755,081,422,
057,095,968,168,269,451,005,875,817,815,922,637,288,251,549,347,385,178,509,
193,689,702,012,353,441,165,986,083,991,045,956,029,910,412,961,910,559,073,
240,306,793,259,525,467,671,197,979,256,958,331,137,392,132,436,519,806,084,
637,861,085,293,267,597,698,547,911,199,970,981,327,607,617,788,249,633,174,
510,581,473,627,531,511,125,762,740,735,576,356,634,221,354,001,382,549,176,
175,707,402,466,038,778,800,574,928,823,276,606,964,214,685,934,983,224,775,
943,734,656,096,760,581,534,410,706,139,874,800,314,036,163,927,927,038,400,
624,928,958,153,655,144,982,232,107,860,596,725,607,192,645,906,467,201,130,
915,390,978,636,327,030,037,203,093,586,299,259,980,903,883,222,758,298,425,
332,133,194,883,241,594,333,223,732,535,727,876,819,545,867,224,430,801,702,
662,829,040,682,380,926,100,076,107,700,448,661,508,852,306,994,374,873,458,
784,371,764,910,673,015,064,584,406,915,434,212,340,257,406,136,601,881,312,
959,603,428,176,860,756,084,229,763,470,901,880,471,891,151,444,019,257,034,
714,756,415,112,929,040,455,774,576,725,843,645,439,633,740,226,252,620,511,
398,459,045,429,939,653,407,600,758,234,615,457,749,794,796,696,855,021,029,
419,126,745,347,796,130,208,858,572,646,947,172,577,348,969,922,545,745,910,
671,216,744,475,680,356,769,811,437,559,741,451,542,283,471,224,188,744,205,
060,541,244,177,698,485,584,314,957,216,822,742,035,039,059,390,758,619,625,
527,958,675,438,064,761,708,210,640,172,202,865,155,536,056,686,865,300,560,
570,813,409,084,597,783,283,511,893,187,954,061,351,002,751,036,065,701,969,
225,009,070,473,587,874,856,229,531,632,383,826,941,188,679,623,169,287,169,
801,747,474,994,256,958,438,248,844,113,051,382,889,968,711,728,293,246,644,
496,110,008,363,411,675,239,266,455,301,500,958,339,386,045,922,244,964,606,
423,669,810,319,083,293,485,905,166,382,995,049,510,180,445,478,798,176,365,
159,730,528,386,278,515,547,998,758,237,522,607,599,417,333,483,689,954,067,
551,801,553,745,067,050,326,232,649,900,666,015,379,246,400,388,261,824,285,
998,730,969,931,597,410,791,943,285,849,718,977,700,354,840,114,158,781,933,
288,313,449,994,877,143,813,925,462,302,485,240,174,743,564,973,737,181,556,
732,657,830,515,596,519,734,099,206,461,440,384,547,158,622,604,709,751,159,
410,808,267,245,987,594,959,977,142,077,365,419,872,370,827,107,706,911,914,
751,818,404,628,784,487,262,724,089,376,678,207,159,775,959,299,185,902,565,
066,375,881,595,588,083,332,928,276,937,200,756,543,809,289,526,123,991,099,
936,066,580,870,667,776,530,145,973,850,654,050,290,571,656,871,924,006,438,
293,762,900,615,297,270,341,125,306,564,124,901,165,694,386,194,562,204,587,
645,065,008,884,317,697,165,440,021,883,064,426,659,442,829,048,226,104,570,
191,723,502,489,217,507,957,762,604,319,762,443,281,433,421,896,589,203,483,
829,424,255,327,448,888,516,489,475,257,700,620,820,131,036,286,423,654,516,
755,513,112,234,541,293,505,434,965,613,709,809,220,434,027,078,499,943,463,
600,211,647,194,194,640,700,062,847,964,624,316,258,285,387,967,373,554,768,
893,108,440,692,830,400,334,237,318,144,154,593,102,152,692,669,026,188,969,
783,196,027,331,332,738,642,144,110,514,345,969,689,007,379,271,907,521,103,
523,955,300,418,792,277,391,655,718,274,624,999,333,794,299,057,219,362,114,
330,033,488,647,496,172,740,995,538,400,515,402,379,954,821,797,302,755,314,
029,047,442,986,835,861,413,890,368,301,498,127,752,652,858,804,017,396,624,
647,146,595,246,642,214,077,108,760,049,228,407,309,524,013,913,418,389,134,
374,805,915,332,493,661,667,460,519,320,945,886,517,763,465,995,840,915,558,
961,016,443,918,276,788,742,501,592,709,233,947,864,505,208,176,535,020,317,
695,835,036,723,734,162,912,124,187,403,479,287,043,610,956,436,095,040,126,
559,649,810,142,106,186,626,544,574,081,603,532,396,456,611,133,957,890,734,
755,569,846,866,949,583,453,432,252,492,604,692,661,573,196,576,653,240,270,
854,109,840,560,461,778,707,955,018,233,012,786,158,802,752,831,644,735,056,
708,577,436,545,459,632,784,607,025,866,701,454,074,341,722,607,510,520,931,
320,550,505,959,980,376,296,653,669,782,483,428,583,344,773,577,007,001,151,
937,841,269,031,263,399,859,060,739,391,361,433,199,867,737,826,187,374,847,
013,567,902,495,026,469,801,660,525,374,893,354,648,092,299,760,572,000,680,
153,488,234,845,609,189,827,244,877,058,307,892,614,735,770,254,369,777,994,
497,803,741,453,182,955,410,243,008,977,780,346,876,978,500,741,722,282,021,
351,792,575,667,561,154,554,955,110,567,871,992,946,870,644,940,071,184,669,
982,522,055,833,489,386,197,959,058,882,680,684,782,497,153,360,861,943,547,
983,269,211,921,683,737,312,571,859,997,474,082,497,757,192,241,607,272,192,
796,696,375,819,921,110,457,757,155,049,093,859,144,308,253,467,036,916,972,
292,577,645,369,752,222,313,318,320,282,408,490,839,280,686,181,312,901,289,
826,588,179,873,055,334,584,360,094,383,861,746,737,883,586,873,368,248,888,
565,602,072,154,042,063,540,715,529,967,946,805,196,928,130,686,450,235,192,
507,452,700,816,477,225,006,107,683,320,044,155,789,955,437,368,275,362,589,
387,435,292,330,128,364,567,693,860,370,040,182,823,171,542,991,030,594,423,
624,107,499,626,138,512,839,457,897,551,440,840,296,882,808,211,230,279,140,
047,703,886,498,841,576,086,087,962,692,793,512,086,698,573,396,635,647,908,
142,320,527,903,560,338,889,573,914,971,763,468,706,439,284,136,193,106,169,
708,683,291,754,608,060,017,885,697,516,031,943,250,278,004,036,427,325,104,
576,028,492,719,095,166,006,117,225,081,173,652,834,253,507,503,634,645,227,
314,834,200,048,556,124,569,510,587,854,026,037,292,100,446,413,737,431,640,
715,568,947,912,981,290,284,124,231,157,997,022,526,446,147,108,238,125,688,
267,840,945,381,848,336,623,836,449,341,638,685,829,180,419,982,577,159,485,
480,444,150,432,137,630,520,127,295,822,403,275,808,902,889,660,562,891,812,
448,057,138,405,972,277,120,307,749,527,968,368,284,849,269,896,570,421,117,
556,260,580,977,874,941,404,068,820,846,645,404,206,314,298,207,432,581,022,
619,204,021,509,292,384,230,174,039,734,774,632,859,602,601,244,546,661,648,
919,126,246,886,140,450,621,622,330,610,871,593,859,474,075,973,659,863,277,
002,327,254,084,537,944,663,600,463,833,747,860,230,898,253,939,534,460,895,
450,714,958,150,196,389,367,791,616,284,314,039,761,210,259,094,401,335,309,
807,311,212,673,327,380,051,121,693,636,962,058,391,430,809,404,101,417,671,
699,746,068,247,837,255,337,869,018,862,269,711,472,993,388,338,102,601,711,
730,028,557,289,886,788,830,609,592,531,335,360,718,362,114,898,602,396,508,
761,010,594,758,624,831,039,428,240,273,855,239,572,647,327,701,114,963,705,
026,092,346,628,171,327,474,752,056,919,718,325,501,121,153,949,329,506,291,
196,059,739,769,652,594,550,699,999,857,079,339,563,926,944,937,418,640,393,
082,453,392,140,423,872,148,308,587,105,010,798,845,990,603,781,832,505,165,
230,068,037,985,458,064,039,066,009,457,962,761,537,203,307,730,593,820,059,
726,062,043,358,483,417,361,576,651,103,399,371,208,405,092,882,073,958,945,
064,453,727,251,340,656,805,032,015,078,156,953,857,445,503,279,926,217,488,
355,170,593,134,972,136,373,954,054,578,186,121,787,812,102,391,401,111,655,
691,575,283,687,649,849,629,276,057,662,752,348,085,182,231,994,172,513,309,
534,260,193,092,678,009,876,536,144,260,152,441,696,382,495,984,832,047,255,
623,299,568,223,958,829,758,049,402,495,005,366,099,524,849,974,674,994,637,
833,542,231,230,504,080,682,684,811,708,692,528,129,532,295,977,998,858,713,
088,928,889,039,073,172,518,128,231,390,317,571,227,129,134,291,452,401,564,
332,863,210,747,006,815,882,302,411,944,075,294,092,223,505,130,971,524,801,
653,735,282,919,805,667,838,411,667,707,725,567,165,469,714,234,705,560,597,
352,748,996,502,435,174,690,818,643,948,474,146,086,768,443,375,655,686,340,
564,856,967,719,998,707,722,090,178,882,674,018,613,557,220,367,801,462,414,
471,474,874,247,826,051,299,611,031,918,535,439,370,298,584,165,468,140,118,
542,666,552,610,775,758,494,134,770,901,085,507,006,736,639,311,792,003,665,
460,975,862,694,329,713,122,834,779,819,761,644,678,330,057,572,126,029,038,
433,696,867,545,585,734,262,399,282,481,585,356,797,343,416,480,099,445,967,
544,266,600,755,013,597,921,717,682,392,114,722,278,038,816,568,153,548,670,
402,967,453,320,146,847,659,294,956,649,625,088,752,961,952,115,059,690,691,
713,075,787,566,891,239,868,078,748,045,683,568,081,460,225,504,550,612,936,
431,443,662,674,186,506,581,661,607,359,336,904,750,717,661,213,424,904,390,
579,216,336,684,323,262,535,872,842,631,375,830,033,125,840,132,933,510,254,
785,723,201,890,011,191,728,774,003,742,923,744,934,661,038,061,091,033,482,
169,302,553,607,492,743,391,025,202,606,040,411,322,372,187,278,775,481,252,
535,263,930,968,701,321,910,262,766,613,626,826,337,596,336,810,242,182,933,
503,958,530,681,466,621,865,507,357,413,999,420,936,108,748,587,409,778,419,
841,408,887,787,093,072,249,452,651,634,281,699,655,259,126,596,888,372,447,
037,190,408,407,145,879,593,466,589,140,750,948,381,515,170,436,052,842,244,
711,802,029,408,564,395,101,942,737,613,726,466,638,538,969,729,689,937,574,
316,647,535,518,604,063,481,984,689,308,695,589,866,048,755,769,254,197,340,
673,492,463,352,354,918,763,584,081,395,540,463,499,278,366,851,956,675,305,
604,987,084,892,559,079,302,383,990,120,773,524,249,054,362,794,206,695,726,
780,560,332,247,612,488,088,834,461,668,326,333,508,759,999,700,831,663,259,
395,366,648,554,537,789,116,891,209,843,912,226,671,258,641,603,410,234,464,
852,043,729,448,534,093,591,044,032,697,730,461,823,845,674,816,928,666,389,
598,979,411,621,105,207,196,922,261,721,912,651,830,227,561,671,345,253,090,
434,446,617,687,058,766,519,395,810,167,960,944,816,279,603,985,487,358,457,
869,773,334,960,764,786,974,548,333,531,812,318,861,724,191,209,809,753,551,
780,710,639,734,746,040,744,640,935,493,939,282,818,260,406,182,168,943,245,
135,147,573,261,277,695,646,302,832,919,452,735,353,992,808,601,891,955,613,
259,068,082,145,150,361,606,665,747,533,071,335,696,847,243,747,709,987,770,
569,331,989,259,037,887,505,638,553,554,332,662,618,442,719,490,445,240,559,
385,897,331,704,059,053,125,490,919,965,165,290,315,597,030,142,624,288,825,
169,743,160,771,962,101,743,896,527,944,537,172,652,311,724,095,631,348,569,
299,517,382,082,314,164,088,548,272,342,752,427,345,481,567,872,996,799,618,
746,974,995,155,516,804,167,577,436,891,794,675,151,293,916,701,385,618,705,
689,161,778,384,879,953,990,622,913,303,888,270,412,166,917,632,730,557,287,
715,009,786,208,993,959,477,362,409,944,414,961,843,127,850,763,989,464,913,
013,735,389,122,001,258,280,357,298,910,622,332,863,470,777,457,068,897,166,
244,135,850,143,389,769,988,016,689,546,226,905,267,435,779,683,988,554,560,
084,726,834,307,202,041,510,753,993,410,134,046,108,833,013,630,102,310,182,
934,452,804,031,625,517,670,038,138,464,043,123,934,566,871,315,199,427,799,
029,781,214,914,694,487,476,657,108,922,228,004,480,588,378,184,039,437,619,
514,699,762,729,591,123,011,541,225,215,101,821,774,288,752,318,769,935,439,
523,736,799,955,064,945,760,313,280,189,921,918,993,555,814,568,105,456,911,
818,551,656,505,190,611,317,062,106,578,223,063,952,486,930,561,785,859,597,
932,472,465,898,371,677,246,597,462,447,767,030,134,149,049,809,077,050,665,
129,868,268,893,071,049,329,837,811,656,065,323,706,835,921,743,247,837,755,
009,595,369,514,335,594,596,044,263,100,728,858,047,133,818,652,520,066,108,
891,258,054,716,228,699,925,353,234,553,335,133,495,204,820,809,913,667,231,
266,780,790,319,398,084,367,748,091,263,669,203,131,195,087,313,151,816,765,
637,680,196,590,270,817,239,773,185,391,285,970,318,052,179,636,574,285,104,
574,104,111,003,490,280,828,459,306,624,215,656,037,767,905,530,059,850,349,
676,931,954,972,109,092,255,134,995,313,212,204,184,147,092,041,994,621,192,
103,167,212,244,132,253,757,989,428,993,262,620,006,831,098,005,354,455,642,
854,619,452,840,795,540,021,527,301,122,700,854,313,239,287,575,810,477,235,
886,923,321,701,296,658,979,291,300,370,690,363,092,131,618,303,640,600,246,
256,913,849,928,318,425,000,425,591,367,542,069,442,888,738,834,795,108,132,
175,744,494,088,209,888,265,248,834,624,486,039,499,843,153,987,163,772,073,
664,476,264,056,470,266,083,132,910,354,520,266,806,195,153,670,515,100,363,
428,614,234,165,704,032,973,642,037,179,420,992,455,496,116,000,411,265,807,
677,115,571,655,098,955,391,753,130,825,671,149,623,103,270,706,735,130,857,
491,534,183,086,829,105,752,100,434,942,490,090,167,511,282,255,798,920,676,
575,905,900,934,820,604,524,241,845,155,510,047,608,661,996,352,013,503,002,
622,097,961,301,625,498,013,484,348,954,919,750,230,243,154,136,487,207,986,
072,546,123,067,639,650,220,358,053,278,816,336,856,657,646,254,138,316,000,
147,706,297,189,307,661,496,552,373,256,963,431,213,792,747,631,273,663,054,
422,092,098,412,340,931,628,357,428,184,363,772,547,795,911,771,895,055,663,
544,524,969,214,078,745,994,098,957,794,094,361,685,167,077,811,285,294,506,
514,233,633,204,611,470,531,909,298,538,549,271,937,078,449,947,946,307,545,
675,780,843,932,784,935,241,024,273,555,273,192,536,186,553,381,607,287,322,
270,234,071,341,528,847,857,587,793,758,037,354,216,528,494,716,983,498,070,
001,039,078,638,335,675,759,939,510,464,414,458,975,320,812,449,611,704,020,
573,935,973,677,005,770,812,810,342,977,395,133,538,032,376,105,177,636,291,
019,071,758,225,727,623,273,661,151,057,466,683,348,430,155,532,045,016,651,
951,890,011,750,065,782,470,506,368,060,437,484,841,817,388,794,362,157,415,
713,137,753,529,830,533,713,914,393,025,125,399,275,391,613,417,943,034,010,
689,279,195,895,902,455,301,287,021,321,242,171,340,316,722,052,387,806,644,
132,780,295,013,506,743,770,376,666,809,101,797,849,576,314,080,103,489,085,
447,570,505,458,586,416,156,137,442,338,574,681,678,171,693,946,725,295,145,
684,909,639,917,734,360,812,929,226,953,804,879,859,538,455,179,911,235,457,
184,779,151,309,514,813,404,280,069,738,114,126,093,570,215,443,040,227,721,
495,230,171,966,018,852,000,612,086,616,929,826,208,577,517,637,102,299,283,
662,003,021,922,320,836,815,966,200,793,792,533,675,248,132,763,302,469,186,
394,763,300,745,965,294,025,081,070,812,962,969,270,460,120,155,637,413,610,
969,388,403,530,247,580,834,339,667,257,158,750,178,779,984,702,932,372,056,
660,556,287,134,660,003,455,186,629,873,740,279,094,721,401,944,198,139,394,
996,909,783,758,087,191,033,721,489,362,809,859,462,353,695,098,132,032,071,
790,444,172,068,535,925,064,375,241,256,152,881,922,856,297,389,328,566,069,
507,058,030,025,344,852,422,644,513,915,247,885,235,880,113,480,164,781,525,
344,966,071,740,525,146,806,655,676,483,706,773,220,227,249,907,292,209,274,
395,718,836,605,168,570,804,297,364,912,572,933,577,542,620,840,551,087,249,
899,337,143,304,394,984,402,693,597,554,638,068,258,981,793,137,307,493,779,
411,559,533,336,212,465,501,379,523,502,762,049,181,097,935,035,071,424,746,
632,597,349,111,066,535,282,230,270,749,032,224,453,403,084,611,523,879,211,
707,964,549,005,331,331,446,747,084,757,578,995,664,857,022,440,398,394,612,
233,664,050,948,936,538,848,835,561,548,295,985,744,590,775,447,136,620,122,
011,804,068,605,813,982,015,550,503,723,064,285,331,430,539,854,146,992,091,
831,243,317,194,793,414,859,781,281,686,632,926,892,288,884,937,042,326,752,
719,064,164,336,351,780,634,706,698,052,009,530,741,811,970,391,000,719,976,
871,234,417,753,620,946,322,203,463,843,044,629,247,459,879,892,431,875,983,
070,088,657,847,448,617,059,645,350,562,833,717,644,057,578,177,563,586,173,
137,733,530,939,876,553,303,041,382,846,020,530,385,597,295,749,832,279,548,
827,026,246,950,910,433,344,343,939,463,808,971,029,068,774,381,482,060,262,
626,046,193,647,521,848,505,336,299,893,745,513,989,533,198,486,510,978,319,
636,033,984,105,143,447,238,124,142,583,736,788,648,061,652,642,198,797,696,
147,351,884,450,367,878,700,389,638,107,528,021,148,522,294,725,685,373,227,
683,028,122,558,918,798,613,987,811,831,246,402,934,964,635,086,072,889,209,
156,306,191,309,531,392,428,365,095,574,134,945,446,907,853,047,321,784,982,
104,672,959,522,910,936,501,710,653,921,517,117,545,317,803,128,506,820,793,
082,700,640,631,157,649,000,721,859,234,942,137,835,293,411,529,577,668,296,
241,641,584,999,588,955,251,238,232,631,342,716,481,864,921,714,643,032,930,
377,004,354,269,027,978,411,762,407,219,479,278,971,591,819,259,929,673,977,
995,180,446,617,835,107,838,594,071,752,797,086,213,575,439,791,684,562,262,
185,156,383,465,463,948,789,274,213,443,509,105,653,661,565,278,766,291,347,
627,974,145,613,658,016,200,786,857,408,565,026,863,755,410,403,704,191,126,
708,250,402,767,609,801,347,726,492,739,762,708,599,330,263,587,511,219,068,
778,312,075,781,171,629,514,075,821,709,553,325,206,344,131,697,230,910,315,
111,643,967,616,743,697,814,620,250,063,600,030,594,701,774,916,857,770,738,
431,330,725,819,665,289,375,232,665,305,586,921,396,812,069,229,783,389,794,
454,634,824,944,787,424,087,589,829,963,082,472,949,033,980,879,390,681,128,
572,332,415,652,466,578,583,100,062,315,712,512,893,493,376,704,796,361,528,
884,193,893,234,572,870,399,383,277,904,931,841,332,834,139,622,800,897,701,
872,021,744,960,601,328,036,055,313,832,977,567,739,471,761,841,514,412,422,
931,511,922,923,866,886,315,174,371,398,336,981,012,830,280,998,768,507,118,
849,651,769,277,346,931,452,499,393,142,572,079,107,719,753,937,753,347,338,
524,714,159,345,136,448,509,424,909,037,916,190,458,810,666,346,144,088,746,
021,034,844,815,051,692,092,411,983,707,449,791,594,839,291,807,929,406,868,
413,788,331,169,578,298,183,768,385,016,452,890,932,820,778,290,668,007,320,
529,882,380,825,102,457,596,430,150,248,064,744,221,189,398,574,774,497,956,
645,635,900,476,329,123,555,588,347,478,528,496,789,010,941,528,744,539,967,
381,534,902,731,878,302,978,840,148,355,109,943,632,239,131,172,002,047,222,
142,988,750,279,556,917,894,771,499,344,377,283,328,193,643,208,646,695,375,
812,740,665,561,407,983,951,835,919,899,175,399,410,605,971,291,990,964,197,
677,851,621,619,561,027,376,678,353,084,505,435,369,506,742,912,172,208,040,
390,427,498,367,675,078,230,261,271,246,311,637,457,381,161,278,830,507,390,
199,005,102,406,395,132,992,689,606,560,008,522,384,944,651,213,569,073,280,
794,249,185,358,507,638,047,686,416,660,897,925,228,229,567,225,383,296,005,
202,234,814,824,602,976,975,107,483,163,503,398,241,456,996,016,598,316,125,
631,471,012,668,099,275,020,696,588,574,808,996,079,845,692,811,154,384,554,
442,041,383,947,489,975,313,306,761,462,548,138,844,303,607,131,639,806,434,
004,185,901,861,037,578,589,901,017,328,425,914,361,171,686,373,414,253,268,
300,774,766,785,504,763,017,875,701,725,445,035,182,169,626,164,315,167,234,
539,828,452,711,311,298,567,752,164,740,676,136,887,598,656,068,542,166,196,
925,670,424,711,519,174,608,037,674,374,000,529,216,034,044,272,067,507,397,
804,460,425,971,298,318,060,939,098,253,081,067,807,393,964,287,208,695,240,
428,995,391,367,847,118,748,482,596,465,123,824,848,769,282,650,467,263,457,
021,301,602,816,314,484,321,313,834,352,434,552,817,087,880,861,916,328,838,
114,928,214,552,987,212,777,911,180,517,544,703,537,389,967,946,854,367,647,
302,014,645,960,597,000,297,671,057,792,734,815,526,391,407,335,204,970,445,
226,161,186,218,664,931,343,927,211,269,237,421,536,508,079,125,094,462,381,
106,715,033,863,003,744,334,726,163,891,377,554,977,316,876,154,001,039,892,
896,663,202,916,389,583,602,520,818,211,026,003,262,788,467,830,130,768,702,
632,108,948,040,070,896,271,467,286,380,426,785,016,610,515,392,837,138,558,
499,870,134,401,493,065,518,358,069,046,956,556,086,357,703,569,237,111,130,
852,886,687,647,572,259,950,181,601,705,327,732,023,417,920,390,760,448,587,
088,350,723,444,494,103,533,390,807,013,167,579,524,717,282,062,251,270,098,
420,205,115,292,778,777,178,947,069,295,764,381,960,531,321,281,072,941,199,
168,998,940,416,769,011,380,671,206,783,399,258,395,257,723,926,574,934,275,
039,558,272,534,521,762,218,350,652,573,470,138,627,745,185,970,954,215,533,
918,237,215,954,666,159,448,734,290,490,374,493,890,601,947,964,574,310,854,
044,073,200,170,099,684,166,835,022,306,792,309,625,700,528,402,470,814,534,
744,906,932,354,075,965,206,787,148,204,429,182,595,115,557,654,852,581,161,
390,856,019,813,927,551,470,294,438,723,827,317,665,632,281,929,042,781,826,
230,535,010,202,822,960,735,725,569,430,578,494,535,705,120,997,541,211,949,
260,164,747,178,885,330,582,467,635,698,413,465,600,597,197,746,450,999,762,
097,483,439,585,219,392,531,055,089,877,363,036,541,034,070,717,038,551,072,
902,570,283,291,353,335,268,431,995,191,239,352,809,309,282,459,740,386,227,
783,454,438,212,175,674,759,143,453,496,758,733,342,658,593,032,568,505,084,
770,157,541,645,985,705,175,693,728,166,365,139,924,835,740,807,173,840,353,
203,704,030,944,766,080,020,324,170,263,886,186,483,497,841,695,774,975,452,
120,773,650,069,277,429,193,677,684,268,742,202,508,654,807,229,784,486,576,
496,221,783,881,976,545,192,129,763,044,692,151,024,769,539,449,997,235,769,
670,418,574,713,680,143,851,819,163,928,635,759,447,297,430,254,721,321,357,
743,879,140,500,099,170,990,480,063,541,573,598,459,648,711,458,531,193,676,
978,906,489,175,957,773,526,267,108,961,216,941,541,427,636,527,203,246,802,
470,173,113,614,170,171,785,915,634,840,002,334,433,795,622,874,787,065,623,
426,144,016,489,277,685,180,755,032,858,092,039,839,121,082,920,580,356,365,
308,991,778,418,065,375,880,400,840,724,063,215,294,177,827,516,299,220,451,
858,893,433,264,233,820,325,057,603,212,123,419,214,492,849,570,433,671,912,
391,918,860,777,950,878,861,634,626,719,524,008,634,906,757,171,532,018,593,
150,755,755,555,287,500,344,743,510,290,081,633,592,846,348,245,076,541,995,
314,604,621,533,461,324,973,226,687,149,741,447,448,344,834,864,710,130,240,
153,015,665,538,897,277,841,373,634,690,753,827,882,630,329,084,069,389,915,
719,553,436,852,937,431,085,308,602,399,956,303,434,798,789,424,781,159,730,
277,938,390,316,941,884,843,751,094,883,382,905,875,198,822,563,378,026,717,
431,486,557,239,952,524,014,397,054,380,274,698,479,190,607,565,052,064,944,
285,188,167,602,459,332,037,893,704,255,279,970,942,276,668,655,704,091,708,
091,111,392,954,077,340,515,267,657,720,970,059,819,349,752,009,273,598,090,
314,371,384,139,613,272,867,660,988,082,931,374,545,921,178,704,201,577,554,
961,349,117,186,101,640,724,005,546,695,310,159,648,555,304,518,442,204,573,
833,447,976,275,887,989,157,814,041,482,034,730,318,795,925,951,119,515,512,
238,880,480,553,896,984,855,833,242,764,824,335,658,513,448,163,091,749,860,
420,756,470,102,943,567,583,956,729,955,409,575,476,323,580,899,939,752,939,
616,410,348,009,601,540,147,940,694,231,926,328,244,823,532,936,862,581,076,
849,441,194,244,320,754,299,206,081,147,076,068,910,721,431,315,669,727,578,
877,732,517,171,636,414,521,217,920,390,880,423,641,528,197,795,882,108,891,
090,684,782,265,173,608,441,388,619,969,583,235,262,312,354,142,130,876,637,
431,036,620,046,088,403,531,948,746,938,226,596,130,618,748,521,072,228,108,
472,084,015,204,535,422,865,485,369,710,817,881,087,645,770,382,867,613,531,
113,588,852,293,403,788,894,167,170,823,373,692,656,014,550,064,825,619,662,
279,256,573,647,945,613,465,133,556,673,627,385,331,940,473,931,174,034,558,
211,998,082,903,500,312,626,332,917,395,920,807,847,034,551,172,988,503,757,
577,351,466,007,943,776,101,227,460,162,618,931,566,002,481,672,469,054,864,
847,202,807,024,645,945,942,735,734,040,203,043,362,958,976,596,506,291,712,
644,702,651,416,780,865,922,549,363,600,491,350,898,401,396,730,406,351,561,
402,958,943,420,910,374,929,917,305,004,710,138,615,481,876,135,497,085,476,
094,020,691,732,904,748,058,983,240,633,546,978,764,856,709,382,153,075,651,
073,333,839,145,781,208,004,879,677,294,466,793,691,778,910,218,317,867,794,
628,206,587,818,116,179,264,477,893,007,336,990,689,104,966,249,901,289,214,
540,372,579,337,783,859,277,852,918,030,827,796,021,650,827,058,375,176,078,
043,357,682,984,317,823,125,794,297,748,838,383,614,258,285,969,000,701,941,
478,716,811,979,014,561,920,068,309,241,356,135,736,966,376,222,769,738,712,
207,057,475,979,302,658,291,652,050,184,484,832,698,561,065,736,757,984,978,
946,393,462,493,543,627,350,514,015,807,063,702,692,412,121,781,156,787,245,
940,359,323,052,727,191,309,056,728,539,625,710,474,796,675,648,744,995,200,
413,430,550,931,863,170,771,269,410,380,207,474,605,693,919,592,501,317,863,
007,801,724,962,070,658,704,693,310,690,321,682,697,471,323,796,695,629,918,
883,900,656,144,789,135,429,216,593,072,589,890,809,912,094,629,817,916,612,
657,130,379,491,485,740,965,287,251,232,113,865,936,691,133,245,574,632,847,
898,742,183,123,856,520,759,165,397,620,289,192,853,027,651,255,569,340,285,
292,419,181,608,472,418,963,714,147,125,479,406,654,730,055,822,338,574,363,
521,381,346,579,332,191,118,946,520,083,404,693,624,124,810,786,353,314,416,
798,138,645,778,326,076,863,842,808,952,628,336,142,603,779,581,623,234,684,
384,545,788,957,347,339,487,558,374,835,327,010,644,299,909,834,514,689,573,
673,365,141,576,529,067,683,977,403,061,914,059,595,855,905,690,110,818,478,
126,925,486,053,403,403,099,492,822,620,186,713,956,520,113,498,427,739,361,
353,544,932,279,959,931,171,819,289,487,482,372,284,161,457,433,635,759,123,
403,488,327,430,866,676,111,603,829,322,887,274,093,415,652,441,101,640,919,
073,940,863,251,807,335,376,540,818,390,867,222,658,082,513,293,577,424,921,
239,230,922,653,204,164,051,009,300,580,899,581,885,291,437,198,586,997,592,
074,031,944,008,466,749,372,624,914,005,116,689,017,350,360,416,204,276,117,
316,622,619,970,360,306,825,836,146,400,346,915,979,865,001,385,832,195,386,
268,404,083,375,164,800,804,876,502,488,014,834,692,875,845,765,789,710,853,
412,586,116,401,164,364,619,520,182,228,375,772,008,241,297,865,296,201,784,
453,044,738,284,131,139,735,396,235,913,878,288,260,456,974,003,742,859,011,
467,521,601,587,484,899,005,313,802,701,334,629,404,174,688,908,733,314,993,
876,005,702,973,560,726,108,702,284,691,701,283,666,992,219,691,316,214,051,
133,692,590,238,620,379,627,632,337,303,887,829,700,460,167,486,747,600,027,
765,408,900,164,478,474,767,665,339,227,209,981,973,940,463,717,010,419,431,
667,269,566,458,346,413,210,345,462,831,123,778,762,608,601,398,879,796,466,
480,446,537,590,860,165,256,265,740,877,968,400,769,222,899,849,046,313,508,
918,820,935,884,415,445,153,885,389,031,480,140,262,999,155,507,199,426,914,
822,855,633,146,169,705,682,930,276,238,348,869,218,694,271,586,586,664,289,
892,255,271,175,987,196,672,635,834,600,047,539,315,120,177,238,699,717,934,
602,533,596,830,006,180,271,640,728,734,226,434,233,545,339,699,487,370,651,
442,489,405,380,581,564,108,540,002,614,614,610,025,297,363,874,970,078,810,
089,959,423,493,634,143,688,741,418,404,556,881,204,036,442,434,447,855,087,
231,844,621,005,028,849,482,574,827,338,704,663,767,075,280,897,712,853,557,
747,414,189,555,923,602,036,097,192,014,517,674,990,754,443,729,552,066,545,
204,648,168,231,689,946,741,661,438,704,037,924,538,601,847,846,672,013,454,
955,050,403,470,875,694,028,423,591,946,507,114,730,666,724,107,083,697,536,
671,407,621,837,896,936,730,517,949,704,517,980,699,955,130,494,240,003,746,
390,469,930,081,378,735,848,694,224,013,624,096,871,147,476,766,936,367,461,
578,601,020,410,583,357,083,844,830,856,855,216,793,505,477,809,743,267,184,
595,053,049,854,221,876,525,382,089,787,412,914,992,656,430,421,861,029,390,
398,509,623,179,118,325,652,549,739,966,720,446,704,254,999,544,676,826,813,
016,370,696,076,749,503,209,466,318,528,325,483,928,624,384,517,307,650,486,
235,209,985,599,572,261,507,862,560,551,129,282,401,435,765,969,890,417,796,
712,340,505,263,782,711,167,225,298,701,538,525,047,896,140,385,405,915,625,
264,639,312,431,174,136,714,594,296,852,115,907,705,229,233,130,151,286,560,
830,126,456,920,075,332,506,109,870,946,956,160,440,098,459,758,729,454,302,
577,858,146,487,843,804,550,965,628,303,631,223,721,952,651,640,620,045,402,
007,842,572,148,589,496,206,468,581,276,093,495,180,576,213,514,895,155,191,
118,354,185,028,097,524,633,098,261,397,019,081,510,402,550,026,047,043,889,
608,378,261,373,317,442,985,193,929,318,115,062,936,332,930,025,988,051,264,
119,987,920,203,678,561,420,846,629,316,757,497,826,666,181,507,327,771,426,
411,430,564,873,788,725,226,789,271,991,156,237,321,693,700,357,069,891,747,
598,926,166,915,291,425,761,700,944,640,651,189,268,306,880,215,167,891,508,
815,933,546,823,872,147,829,554,782,159,966,992,544,967,177,161,962,796,057,
325,206,329,000,736,877,094,477,690,418,464,598,294,599,148,593,663,859,336,
098,273,231,401,974,774,160,066,997,408,824,615,092,665,632,056,031,231,851,
523,591,357,061,827,289,609,727,288,832,315,921,369,674,903,784,414,475,221,
580,659,428,901,409,803,294,677,648,111,930,876,698,279,774,148,299,186,677,
003,437,928,694,648,338,486,227,577,040,939,832,885,263,025,749,535,557,561,
633,441,905,878,492,400,587,197,107,496,213,399,956,326,148,344,215,745,585,
323,162,078,788,495,382,536,423,578,665,565,092,159,441,418,707,305,886,599,
448,284,537,409,093,142,437,183,254,773,569,538,105,080,503,164,144,803,755,
545,262,942,711,726,414,009,068,023,704,896,008,640,614,210,841,588,893,306,
943,197,104,281,600,703,272,904,556,179,377,563,605,934,625,274,199,851,553,
817,505,333,126,492,993,894,490,104,837,957,358,468,437,116,064,895,923,406,
312,348,416,836,169,636,598,591,575,962,811,241,056,637,920,613,347,453,363,
776,379,191,347,948,211,837,395,586,312,817,317,240,490,150,421,412,258,087,
110,136,924,118,089,914,571,697,644,673,961,166,354,835,211,441,014,126,421,
216,530,060,264,520,739,341,210,337,435,694,765,802,130,002,648,704,485,864,
012,645,134,634,802,012,943,330,386,171,661,533,850,042,163,820,205,001,882,
404,322,082,861,497,991,852,660,582,096,253,725,056,738,263,978,925,538,036,
993,544,134,066,249,150,723,381,439,288,696,023,869,032,796,632,286,723,247,
085,238,726,143,871,977,106,422,129,202,215,804,583,330,050,887,688,964,398,
091,163,300,328,329,361,196,883,080,429,274,619,345,209,899,515,498,075,678,
691,717,017,703,853,419,571,960,668,287,686,982,013,164,677,109,552,704,971,
751,195,355,970,786,598,349,016,222,613,694,892,784,949,416,869,302,214,426,
181,277,042,627,634,117,850,703,885,574,697,699,832,413,761,935,745,989,652,
549,673,616,612,667,302,457,455,116,314,978,577,909,575,676,857,308,954,385,
222,345,493,593,746,079,941,792,452,595,752,579,291,813,417,594,713,663,047,
294,050,332,559,429,570,465,447,088,513,615,516,858,965,060,711,093,264,500,
371,339,199,961,017,615,144,941,730,701,299,675,020,413,990,121,041,630,888,
001,546,385,510,263,128,458,235,950,957,605,400,737,144,879,097,892,127,073,
747,584,323,282,479,781,706,081,023,144,820,506,429,510,796,012,342,030,115,
931,841,787,159,954,024,607,539,900,180,268,037,930,788,727,318,401,511,237,
857,010,573,344,193,316,280,022,434,754,128,672,179,802,537,482,472,885,662,
015,086,224,911,863,774,711,579,444,472,412,261,509,203,381,344,211,077,342,
172,786,808,543,274,584,207,542,354,814,825,620,756,062,215,320,230,453,537,
399,419,703,251,693,425,234,483,387,495,040,467,806,281,366,700,934,292,051,
250,048,411,576,907,656,454,762,698,640,910,857,474,558,707,484,815,807,976,
170,432,798,509,487,003,655,708,851,934,570,037,678,464,303,074,717,986,901,
591,746,121,486,711,822,275,938,881,222,366,990,522,079,873,892,638,057,563,
647,001,635,453,314,962,754,581,029,431,081,717,207,636,075,506,794,769,157,
795,854,954,464,970,354,322,113,371,353,272,018,354,412,470,931,031,424,312,
281,376,434,069,975,198,518,573,216,692,456,402,669,335,563,484,585,438,411,
821,345,754,950,007,153,804,536,648,345,879,280,069,828,495,838,913,013,472,
020,463,614,365,842,841,815,321,159,835,451,959,943,285,489,248,328,267,329,
133,191,036,681,519,252,061,879,669,613,703,695,277,815,491,477,826,080,621,
042,193,515,740,598,484,318,205,562,528,529,071,596,504,830,002,703,056,238,
924,465,691,755,606,152,107,091,987,942,936,156,242,811,545,424,245,822,354,
590,535,045,168,139,991,658,532,112,040,015,297,309,664,509,743,784,531,151,
183,358,451,209,171,035,572,870,685,870,698,525,798,421,734,416,751,146,214,
786,357,268,227,828,498,266,744,331,851,219,985,291,171,644,531,020,566,988,
221,071,323,161,494,379,860,486,814,906,629,836,427,129,496,068,240,140,336,
178,607,105,327,593,177,413,179,448,454,885,873,911,721,718,273,991,732,898,
317,104,430,848,595,841,302,446,218,372,858,427,321,305,047,470,057,142,488,
929,999,948,439,671,347,560,790,101,213,039,940,984,806,431,128,701,078,664,
373,139,785,279,127,151,357,432,367,649,426,588,701,840,422,172,236,848,822,
944,994,062,154,004,643,971,706,639,017,878,339,419,627,460,055,630,376,768,
449,139,831,427,701,372,443,160,471,241,336,174,558,080,700,720,043,115,045,
595,951,978,531,200,762,006,644,726,068,017,306,561,565,928,295,879,433,273,
023,507,319,991,554,550,139,682,888,509,949,433,542,731,490,811,632,950,401,
486,608,611,432,949,552,258,319,784,546,142,100,798,376,506,290,585,949,188,
916,885,741,978,051,458,534,311,708,156,479,123,274,638,344,174,881,689,310,
197,123,103,681,065,078,348,289,195,624,902,184,470,582,645,725,603,019,642,
779,177,192,331,949,144,401,515,383,911,893,420,708,249,291,344,815,892,259,
765,196,370,902,415,512,379,134,557,904,036,858,061,737,366,460,791,285,088,
167,898,778,235,833,374,330,257,641,105,112,898,186,562,420,728,025,956,862,
987,669,557,968,767,096,341,356,222,742,861,602,950,358,750,773,636,703,147,
121,374,442,854,922,718,086,049,745,335,275,195,425,997,383,749,241,969,897,
309,297,703,502,874,230,412,796,004,724,450,065,116,406,479,589,728,855,404,
590,259,336,809,361,441,885,415,257,849,091,472,874,611,653,096,084,939,572,
408,260,441,184,839,013,625,591,480,508,288,412,750,907,671,469,852,282,582,
346,458,924,495,054,179,048,268,246,830,018,609,623,825,868,516,440,632,729,
621,100,561,265,016,561,286,079,145,090,515,453,097,316,132,994,054,219,943,
611,484,375,235,445,612,533,376,453,364,627,684,130,351,337,030,864,896,213,
153,310,309,052,744,540,070,847,885,532,911,492,836,264,019,774,029,096,108,
594,057,875,123,362,072,158,153,181,833,376,907,497,911,441,542,710,350,034,
339,164,894,811,147,980,897,634,120,161,505,218,222,803,770,109,195,461,512,
564,076,637,478,716,752,193,896,709,174,573,787,699,348,839,081,435,345,771,
662,356,751,119,120,834,263,718,883,630,191,269,819,385,291,834,638,802,371,
042,178,743,328,380,021,571,770,729,119,412,947,570,941,989,234,747,552,372,
863,039,872,659,371,390,968,605,111,615,320,153,900,468,198,941,024,077,343,
486,203,273,661,653,349,409,425,794,438,620,324,407,764,629,320,017,537,579,
842,320,312,734,781,471,726,113,306,793,178,182,365,983,829,937,061,810,118,
445,173,325,142,842,394,017,298,115,883,428,084,931,130,584,912,615,753,658,
058,876,895,088,693,988,489,754,959,496,890,769,820,053,823,400,191,978,375,
252,205,212,384,587,940,381,880,647,663,748,190,713,368,207,428,691,144,822,
695,109,823,600,766,051,486,294,595,377,325,817,102,317,319,784,836,909,427,
323,461,133,193,433,681,428,876,282,134,665,610,173,207,227,024,168,141,277,
191,371,934,289,222,749,468,647,364,940,869,712,898,502,593,258,753,318,555,
953,450,667,569,878,293,235,245,813,424,411,438,561,991,648,857,273,915,962,
337,002,190,527,443,496,582,759,834,703,872,587,278,138,013,351,736,709,058,
207,842,252,099,091,764,126,540,514,477,545,625,642,602,189,784,233,770,792,
948,119,299,607,784,645,769,734,233,927,850,297,307,563,991,239,227,425,210,
719,994,101,670,384,946,551,010,588,653,570,068,758,040,118,616,690,427,821,
115,635,063,049,306,512,718,870,801,105,071,988,109,765,250,978,205,051,738,
873,696,498,262,326,455,606,043,540,127,798,975,624,367,556,997,747,591,267,
593,334,333,392,811,202,696,364,725,512,098,370,650,555,272,732,668,086,233,
208,193,622,540,048,532,186,113,295,387,202,539,569,469,186,761,570,717,385,
185,023,318,629,018,901,294,538,935,253,535,778,893,418,884,547,422,062,990,
327,525,360,603,704,708,908,185,290,195,275,979,011,688,864,696,021,314,251,
419,080,430,736,230,864,353,838,108,381,781,047,193,297,846,982,283,419,678,
259,809,295,377,472,171,025,381,629,541,980,135,179,553,124,752,928,870,088,
456,585,314,405,026,115,202,424,630,207,098,263,823,352,033,232,252,128,974,
505,837,057,942,153,848,409,881,611,660,026,031,853,334,493,803,092,779,742,
426,371,303,445,295,250,877,797,476,668,535,423,446,619,768,573,411,411,720,
069,873,204,872,938,771,837,448,357,850,809,076,425,552,955,986,614,409,663,
797,473,394,752,507,851,890,230,862,800,475,744,225,608,810,164,224,263,663,
024,078,467,127,468,501,474,890,002,437,260,902,515,434,125,075,729,137,751,
699,983,591,930,072,163,713,562,694,713,619,172,286,148,437,977,123,666,276,
503,950,099,018,726,982,261,933,743,870,721,284,106,140,504,191,366,335,329,
199,284,554,578,763,022,757,687,383,810,996,044,036,054,037,484,911,327,638,
628,472,184,482,640,750,457,564,322,458,929,119,799,830,559,487,477,252,606,
750,929,126,970,892,484,231,397,741,699,678,698,994,487,110,417,475,352,780,
021,679,398,774,879,048,009,515,909,017,002,622,817,178,678,281,418,087,357,
542,192,614,424,845,316,477,905,874,814,523,735,802,948,791,712,357,610,030,
061,534,530,597,471,424,713,613,489,156,862,766,412,952,056,128,339,673,535,
772,973,044,173,729,043,557,111,918,083,296,527,271,069,306,381,665,975,428,
376,359,166,197,803,378,589,058,760,712,114,059,211,614,400,862,456,942,735,
118,110,465,831,789,136,852,473,939,977,064,051,551,203,929,453,325,298,774,
057,682,089,469,592,749,725,756,442,813,533,666,030,600,428,007,875,051,981,
134,319,402,012,463,033,401,684,707,322,774,251,295,869,834,517,233,190,113,
800,093,201,156,512,971,198,481,845,757,190,379,951,486,569,194,986,670,140,
178,649,563,782,604,083,891,209,901,893,478,614,922,929,549,967,815,414,980,
174,973,938,025,576,465,123,780,005,736,246,179,877,053,217,715,998,494,309,
091,426,395,021,721,168,559,487,822,517,092,437,600,431,077,650,527,430,784,
926,045,344,687,642,713,095,181,903,905,537,515,249,613,062,742,870,718,714,
334,491,616,569,448,407,586,151,672,905,064,843,472,596,696,605,835,434,488,
862,027,340,724,547,137,785,179,078,661,617,570,919,187,731,268,813,323,117,
058,232,481,061,747,700,720,580,227,962,720,490,044,693,438,329,649,739,495,
367,806,544,003,802,856,710,491,778,299,208,142,182,124,464,636,575,904,962,
775,272,845,681,063,235,283,902,775,456,018,286,935,753,555,261,930,757,977,
064,120,753,708,076,300,812,496,086,521,073,036,677,147,525,567,482,110,442,
116,133,613,072,565,402,564,645,165,448,898,606,906,672,451,190,996,224,892,
452,882,543,201,506,819,216,144,763,488,260,469,209,941,143,319,396,504,935,
706,009,114,513,409,870,335,383,728,766,882,653,205,461,396,331,771,080,225,
938,528,975,113,517,927,673,445,852,588,546,041,481,851,592,396,867,234,732,
817,899,034,699,459,822,909,602,488,036,603,742,873,856,126,027,096,939,767,
965,103,084,171,752,565,512,207,879,200,476,784,080,127,396,903,813,166,354,
195,612,779,506,781,074,776,100,896,034,522,438,299,692,111,211,916,388,334,
712,305,077,693,393,156,622,106,364,749,052,292,021,993,149,128,533,468,831,
095,012,490,878,024,029,705,595,097,468,015,549,069,818,370,466,827,270,254,
299,490,665,956,218,031,051,044,285,184,867,481,432,226,534,609,518,644,360,
867,478,691,773,769,074,995,945,856,832,098,034,136,291,447,903,259,251,576,
115,743,277,900,826,521,946,729,112,432,151,685,744,277,065,444,800,065,054,
135,466,677,494,927,378,080,315,718,634,785,494,220,041,472,227,854,020,248,
381,839,866,720,552,433,678,565,004,140,833,192,392,918,430,932,813,771,433,
813,245,539,381,008,616,925,893,223,010,581,545,818,433,548,424,170,925,138,
663,131,453,305,081,590,915,475,934,217,819,275,085,844,358,626,177,760,820,
519,133,996,311,394,103,252,319,146,297,384,774,236,154,209,952,275,905,830,
119,515,328,386,778,202,077,897,868,703,788,247,941,532,765,406,813,952,744,
886,156,932,406,961,044,202,899,339,237,883,089,083,383,714,158,064,018,102,
932,597,620,890,544,765,883,704,792,143,409,157,321,450,240,939,384,956,907,
212,049,686,004,271,947,230,908,104,209,295,804,377,903,162,934,424,632,995,
264,414,394,919,441,418,229,478,077,170,196,204,082,541,818,925,617,934,704,
182,256,987,961,452,913,216,190,980,697,522,099,122,471,175,720,958,073,424,
651,000,348,345,930,449,745,804,680,945,162,239,251,245,258,027,885,313,598,
027,046,078,586,286,585,710,518,507,789,818,126,243,350,473,818,805,722,079,
694,020,449,961,692,502,390,459,712,481,544,317,956,240,811,095,620,280,654,
001,606,002,349,806,727,439,717,849,160,609,729,939,854,099,401,017,537,993,
771,278,119,723,366,621,377,026,903,666,415,237,185,895,765,198,922,276,576,
351,872,224,521,350,742,486,970,255,706,651,163,081,092,689,781,055,885,869,
927,136,686,858,580,883,287,098,688,512,471,631,855,639,156,110,173,702,855,
032,190,987,663,554,166,703,887,044,642,229,675,270,625,336,318,944,733,058,
310,436,908,120,669,063,380,224,734,004,634,854,704,815,823,125,340,572,931,
169,609,919,843,944,498,159,522,073,098,090,204,225,431,233,156,349,142,826,
611,425,333,227,247,908,070,774,561,621,318,819,618,306,189,953,633,696,984,
741,625,525,050,605,999,282,897,040,979,997,172,819,235,494,604,515,690,107,
533,678,123,253,154,186,626,357,350,614,052,086,602,876,445,426,910,903,982,
237,716,667,768,296,922,150,212,667,115,353,854,937,505,381,297,870,029,186,
551,263,749,948,493,500,677,200,521,112,623,112,874,072,960,411,588,744,396,
168,149,407,947,277,212,075,829,906,692,620,701,559,184,642,300,035,796,538,
038,664,507,676,661,393,067,733,537,821,783,209,801,113,419,870,685,539,860,
187,460,944,322,601,322,126,942,203,573,237,953,871,326,232,956,759,707,021,
181,208,174,623,864,556,337,942,787,284,680,536,589,724,841,975,698,714,568,
150,578,308,051,899,541,671,636,574,206,647,100,825,193,410,709,373,660,521,
544,179,437,067,550,633,052,718,534,903,915,427,871,965,538,117,325,383,717,
988,301,047,941,134,592,209,398,329,936,759,376,896,666,862,235,821,538,214,
669,100,804,225,799,736,401,992,847,797,240,925,847,272,058,195,724,183,510,
995,347,814,320,665,250,103,743,294,723,714,756,879,005,145,809,379,029,296,
219,482,240,704,605,964,514,720,654,763,886,649,852,255,848,988,918,109,994,
785,901,508,370,230,002,203,722,089,170,632,258,610,290,647,770,043,581,419,
802,635,757,868,101,642,978,254,428,665,853,355,407,379,563,250,025,802,397,
872,378,460,340,717,176,750,528,551,500,199,602,813,989,214,617,961,076,922,
892,883,741,203,512,777,333,445,543,088,420,600,058,973,714,020,884,505,318,
909,366,820,066,213,062,801,764,705,221,249,347,093,583,851,818,504,702,891,
260,019,472,520,366,094,588,249,285,988,039,658,916,078,759,819,678,555,098,
357,617,781,505,082,295,422,147,238,181,757,060,782,653,775,985,823,174,491,
589,421,774,701,450,182,183,042,457,383,592,589,423,935,093,974,090,000,687,
999,048,415,545,476,013,011,314,125,774,639,612,331,208,242,551,238,204,564,
886,411,246,945,483,726,911,573,403,127,500,297,218,423,011,744,424,869,072,
427,347,114,393,193,346,921,819,284,760,655,156,608,959,104,207,308,427,833,
925,384,387,440,726,938,649,692,672,085,255,602,512,245,110,767,312,884,527,
583,575,583,562,640,032,882,996,854,542,119,766,112,090,648,213,456,486,987,
838,088,945,078,670,215,383,494,551,523,448,503,939,194,387,446,545,659,757,
809,414,949,482,830,248,117,312,982,859,641,206,754,877,299,794,221,190,800,
878,990,007,777,580,083,029,143,560,614,643,313,525,102,969,552,917,016,578,
637,168,903,600,673,885,790,479,393,419,006,732,911,266,720,160,508,758,340,
722,203,723,374,619,433,371,546,495,424,965,012,919,926,472,597,874,975,952,
760,363,203,531,384,966,313,118,761,839,622,477,380,998,798,985,092,574,024,
420,424,465,608,782,449,419,404,603,624,740,545,400,759,743,047,722,948,866,
632,368,543,202,119,271,723,728,995,062,689,398,147,611,927,911,919,761,461,
751,636,349,063,304,367,870,948,696,030,725,862,166,045,442,864,002,153,246,
636,648,872,388,163,003,063,488,101,068,718,053,596,228,514,779,134,018,422,
870,926,778,444,412,290,015,137,587,996,441,752,334,934,428,898,751,835,839,
863,162,164,799,085,437,519,423,521,063,566,135,865,822,028,529,367,007,614,
168,214,095,430,026,215,255,082,709,620,542,447,503,672,514,898,445,517,361,
950,915,512,381,325,058,074,265,124,557,999,696,484,904,985,176,939,492,393,
733,400,185,905,288,278,397,477,451,135,484,650,127,659,150,315,248,995,407,
679,775,710,654,401,146,696,682,715,085,508,061,809,560,883,658,392,611,425,
121,520,570,942,866,806,091,012,473,116,585,196,248,471,149,614,089,501,525,
841,091,085,911,302,774,503,520,286,097,297,861,636,196,751,728,711,387,709,
008,962,607,529,897,964,165,969,887,584,154,765,957,013,922,714,971,936,780,
679,902,283,269,453,334,195,359,630,593,803,266,882,354,986,501,763,038,731,
734,428,526,140,751,900,931,646,312,092,015,762,454,189,716,538,795,275,203,
316,685,583,846,406,963,952,496,516,187,884,284,273,788,595,486,590,607,468,
978,238,523,802,753,147,019,129,356,970,551,663,128,649,942,934,295,135,204,
144,962,203,768,902,023,691,697,095,446,495,080,745,304,038,541,379,039,655,
090,345,176,597,834,162,545,217,621,606,652,099,526,067,300,643,572,849,197,
081,717,898,174,194,887,353,527,507,747,172,488,671,903,037,247,685,090,567,
116,878,983,229,122,181,577,415,443,006,659,681,778,597,412,002,749,306,698,
709,255,990,657,669,144,438,741,744,574,171,498,968,082,672,866,593,492,890,
271,745,965,083,072,330,706,024,302,605,632,693,033,559,770,211,548,444,770,
807,273,995,106,378,675,690,160,283,774,514,034,521,974,953,064,232,300,517,
274,542,185,938,140,835,184,966,476,025,618,073,499,725,509,550,940,252,854,
557,559,448,087,944,700,459,528,922,034,620,947,970,725,183,349,622,856,069,
985,869,315,239,889,532,481,152,747,763,966,446,190,535,872,253,037,464,114,
537,060,153,589,445,824,057,093,511,503,517,852,683,221,969,655,720,538,116,
633,197,578,774,982,630,230,035,046,730,955,092,075,886,138,492,288,832,473,
825,287,057,408,149,556,568,782,652,288,783,720,672,363,354,587,024,310,542,
897,248,280,743,425,919,286,506,563,951,519,284,717,260,767,158,708,655,191,
794,248,746,253,675,884,191,832,034,749,461,262,631,053,000,148,068,901,150,
285,010,063,978,765,453,334,744,937,051,762,053,410,058,508,400,135,170,569,
820,044,787,048,879,869,661,374,279,699,623,412,451,796,018,262,081,080,385,
442,589,691,117,799,351,013,609,554,295,193,818,980,755,041,639,521,864,987,
896,465,804,669,067,229,647,682,667,735,438,809,998,181,626,929,564,402,953,
777,876,389,614,627,096,089,823,922,968,029,733,194,200,309,123,158,110,261,
794,940,562,309,271,342,674,592,488,607,614,560,350,482,137,952,828,572,502,
131,694,170,118,709,232,454,424,411,179,160,055,340,452,623,126,329,922,106,
524,573,894,472,246,987,335,988,341,042,139,270,563,599,739,719,954,138,944,
541,839,381,104,170,980,839,223,359,744,452,387,406,743,012,366,107,691,186,
327,371,156,543,818,350,325,930,104,946,798,183,925,090,937,395,342,973,824,
143,124,748,707,809,065,883,498,083,144,471,276,423,576,070,360,518,995,165,
831,685,810,250,619,853,046,617,538,673,015,622,755,581,832,348,066,684,752,
690,459,378,669,623,939,675,357,181,022,919,817,646,440,993,854,806,813,215,
464,497,070,222,465,532,037,436,938,833,601,650,704,467,106,221,086,750,556,
793,922,347,964,477,392,372,107,973,288,684,518,169,913,795,130,500,252,677,
067,504,124,426,091,756,114,071,846,772,356,732,915,751,185,948,080,801,803,
652,607,846,633,093,340,719,138,454,328,956,666,799,854,993,831,442,306,815,
500,592,843,069,513,593,131,212,920,685,874,945,427,055,966,885,443,204,524,
014,437,081,256,948,106,536,564,922,966,957,765,854,934,127,216,434,274,963,
142,337,532,249,691,286,280,344,096,691,299,156,514,044,357,701,363,119,103,
197,617,585,352,253,820,825,155,811,541,735,687,710,928,557,371,447,436,588,
000,184,569,707,502,180,237,013,028,562,058,615,139,019,045,024,851,592,407,
693,955,825,837,140,835,232,080,006,543,051,204,565,452,911,468,269,864,405,
548,807,719,903,254,440,584,386,077,347,846,565,155,437,059,308,417,132,847,
775,324,880,294,843,680,794,873,940,040,123,567,040,241,721,033,181,769,628,
530,431,820,214,183,216,592,855,511,541,556,764,368,497,028,364,652,560,910,
257,174,289,512,299,868,774,982,801,107,950,903,647,793,170,783,035,318,862,
859,660,010,505,016,449,820,856,112,148,194,327,474,094,340,839,820,120,626,
133,827,324,627,336,172,782,313,537,482,927,609,913,822,989,153,916,871,482,
588,893,109,999,311,238,376,204,073,723,490,597,003,592,535,059,240,161,284,
786,277,080,045,636,707,435,182,301,839,303,769,453,720,719,998,823,018,254,
437,698,303,859,377,547,350,555,076,954,022,375,743,913,680,536,141,702,369,
950,504,482,214,457,479,697,452,207,286,842,364,427,063,386,169,365,735,306,
412,085,051,587,341,862,781,921,212,998,450,482,797,421,898,743,986,756,813,
489,764,634,628,260,586,393,013,713,959,698,027,508,221,191,414,901,792,164,
692,959,056,380,341,521,361,914,385,545,618,957,546,064,704,857,105,117,576,
308,888,302,933,637,327,570,733,775,858,107,971,824,950,573,842,898,942,621,
211,890,638,304,285,876,910,278,251,005,272,071,394,157,606,763,177,673,910,
455,985,693,326,318,754,999,074,755,073,984,763,527,651,219,194,108,524,484,
513,454,089,877,788,118,639,170,592,587,695,536,039,671,851,211,584,617,911,
012,820,799,391,777,004,568,582,652,964,935,745,983,834,998,217,117,976,330,
535,213,045,317,253,157,453,960,892,640,814,697,325,921,236,363,561,343,095,
412,731,917,851,882,390,048,177,540,327,845,821,866,858,737,794,390,074,389,
397,880,447,386,722,046,519,077,131,189,513,910,903,766,913,711,342,398,816,
851,292,341,822,931,129,586,780,868,572,817,526,026,799,411,465,113,701,967,
152,080,933,872,276,515,292,082,695,714,957,240,627,430,891,581,598,803,198,
368,315,785,301,092,352,575,842,378,468,531,499,705,232,783,304,475,271,278,
440,505,226,225,876,166,259,114,148,870,695,340,622,796,566,747,722,932,387,
798,881,723,751,541,798,420,049,514,992,213,981,630,235,573,399,586,562,739,
036,776,589,731,471,826,320,110,078,137,177,685,621,596,913,594,847,265,223,
887,021,020,998,580,455,350,096,880,288,077,846,166,988,171,238,487,733,413,
467,185,136,126,362,649,314,149,978,740,304,107,571,256,704,104,087,165,900,
455,007,359,931,766,801,466,306,621,299,292,712,162,754,056,141,683,575,458,
806,284,037,429,113,457,098,411,293,172,852,229,663,441,048,565,287,631,241,
699,478,050,402,548,513,117,198,545,595,334,102,394,977,765,385,507,052,659,
948,237,016,007,172,600,500,467,088,680,654,324,386,600,711,823,926,531,405,
335,464,896,302,097,849,206,115,272,029,206,763,816,216,816,239,844,164,367,
156,056,197,424,650,187,130,550,895,453,128,462,355,576,436,819,694,514,222,
429,224,792,939,018,431,474,100,484,959,718,034,187,508,602,339,418,258,355,
131,674,223,884,714,549,052,610,868,166,027,784,457,693,971,268,196,673,014,
726,085,697,224,463,427,737,307,542,006,245,530,119,066,840,229,996,719,674,
174,412,602,564,475,259,694,473,493,781,618,583,966,775,723,833,761,089,459,
268,239,243,263,501,961,512,476,052,503,937,772,845,971,620,533,233,989,863,
729,503,713,932,824,879,367,786,651,377,440,521,730,068,232,847,941,236,481,
684,176,523,779,852,635,635,224,853,729,142,834,492,546,124,260,185,531,938,
176,024,067,610,666,693,565,801,810,941,075,171,379,877,456,802,731,628,339,
322,110,825,978,044,925,691,383,052,998,718,664,860,079,908,134,188,136,182,
534,445,493,318,966,303,401,646,928,421,730,144,555,363,374,635,077,328,233,
501,891,258,982,861,693,902,516,787,684,057,120,410,124,078,078,376,719,780,
761,084,016,762,948,735,048,458,618,417,004,168,763,177,360,273,294,292,099,
908,067,872,688,366,382,121,414,548,334,068,741,903,794,792,183,470,088,947,
772,396,943,242,848,793,069,505,429,638,395,906,439,932,192,821,245,638,947,
134,969,692,468,779,575,935,108,925,111,576,860,454,112,033,212,170,929,226,
322,065,394,304,318,861,990,508,310,202,697,947,079,571,846,911,268,495,149,
731,180,968,539,701,360,669,536,228,160,285,694,061,167,528,815,082,945,894,
687,284,119,099,911,256,991,838,552,335,705,305,723,087,310,336,933,108,113,
831,209,281,898,292,663,824,812,780,914,315,912,939,231,288,507,820,177,167,
177,461,798,090,054,407,507,236,479,465,494,554,955,136,158,399,315,123,676,
530,712,879,581,613,624,961,973,987,977,261,142,592,253,899,402,615,123,338,
942,682,538,581,474,037,056,572,885,640,065,932,352,950,625,480,366,734,989,
470,838,954,267,041,402,443,067,162,630,772,536,415,636,962,202,853,133,555,
127,496,890,856,727,901,969,978,657,498,911,049,842,507,497,171,697,979,003,
075,225,506,873,022,966,856,387,986,977,259,938,325,537,923,016,659,236,822,
674,284,425,771,760,434,428,299,389,448,479,516,121,730,217,226,152,271,886,
609,420,421,695,534,677,682,820,484,374,778,282,502,210,332,896,409,335,546,
076,678,244,250,036,412,641,100,432,369,058,930,961,627,048,481,957,989,724,
578,166,228,548,578,070,984,957,448,924,394,135,004,546,506,507,021,815,488,
675,506,034,323,794,372,980,737,307,074,568,592,495,321,101,715,670,349,124,
845,145,956,192,099,868,101,797,880,523,873,432,103,655,239,807,959,403,641,
797,869,863,936,299,367,383,791,558,165,106,527,650,154,934,980,341,668,192,
699,264,214,920,015,354,311,481,205,113,872,202,225,093,432,937,247,328,774,
885,489,445,889,698,662,468,710,294,748,716,208,265,002,157,440,908,194,716,
000,481,898,395,345,388,581,705,082,861,152,221,001,339,950,842,917,210,906,
747,161,680,016,079,601,524,078,282,339,601,316,629,329,325,664,784,519,703,
674,130,926,074,871,802,869,652,306,748,358,560,853,101,126,722,128,258,433,
570,217,940,375,223,012,081,756,133,548,657,099,578,719,001,133,500,747,673,
226,990,578,818,310,033,251,950,812,584,569,212,187,967,085,880,475,298,939,
298,628,081,486,176,602,114,969,783,877,868,014,712,309,217,512,754,110,015,
590,524,164,535,852,116,403,062,275,570,471,130,142,511,839,765,025,669,833,
077,157,796,932,381,001,818,670,388,892,423,806,429,910,735,919,512,275,647,
753,156,901,721,135,770,269,425,151,505,500,026,954,592,616,694,008,531,189,
435,337,591,313,482,282,566,139,062,220,962,028,920,985,850,694,103,448,981,
503,549,597,371,433,349,852,463,527,506,950,193,947,943,312,482,545,071,095,
126,832,874,110,815,534,762,761,110,498,801,151,125,665,235,804,728,750,497,
613,869,747,528,555,692,207,585,346,974,545,638,257,083,491,178,600,169,346,
918,248,712,299,763,338,963,735,260,340,692,143,617,925,726,400,044,005,055,
092,810,333,178,155,266,074,814,565,871,465,460,539,067,504,748,831,433,041,
362,521,341,648,549,753,139,264,107,028,297,163,071,192,765,109,391,554,061,
778,590,019,386,770,227,509,544,239,790,587,387,845,036,781,935,867,835,340,
787,841,855,635,170,977,813,292,719,459,581,329,787,158,945,283,750,769,587,
749,217,043,171,327,214,663,063,667,523,471,214,325,355,331,318,188,068,544,
706,837,758,029,711,978,435,846,522,490,978,702,081,672,020,932,232,298,171,
814,010,262,291,241,186,420,987,068,638,662,285,370,267,386,680,383,690,069,
087,242,800,280,820,333,709,713,718,496,789,320,793,924,894,754,456,548,258,
648,028,398,720,741,214,700,741,846,775,695,180,939,091,745,367,371,773,585,
045,323,198,854,026,675,454,928,646,422,151,723,635,217,432,392,706,703,851,
527,666,704,722,615,794,609,954,469,187,886,676,024,125,682,769,397,853,188,
411,686,491,256,638,805,155,984,671,816,889,604,366,980,882,069,447,758,497,
034,706,158,892,202,042,071,491,514,198,482,801,518,081,370,695,182,752,609,
886,561,646,533,204,280,819,543,397,275,005,301,350,044,858,671,080,140,975,
956,461,094,346,843,262,518,229,022,941,067,282,954,494,278,794,150,472,749,
317,338,925,530,253,262,316,339,686,722,209,857,823,309,235,375,649,090,084,
678,446,680,846,745,706,042,806,554,320,003,458,612,717,274,073,663,076,963,
262,550,423,468,417,343,364,946,252,632,570,255,694,926,384,119,541,279,446,
934,051,157,632,113,803,560,633,403,030,109,378,534,266,708,334,180,328,959,
167,921,463,194,539,206,167,812,756,916,593,702,941,749,531,825,361,056,227,
785,478,002,562,531,625,575,693,691,153,172,579,147,985,913,646,354,447,614,
800,883,026,633,174,816,189,871,344,203,096,211,198,045,738,212,191,396,413,
874,180,642,220,666,727,510,441,364,358,493,139,005,327,751,158,559,292,465,
447,744,031,591,165,920,349,992,498,334,061,751,183,583,185,545,282,232,470,
447,333,192,890,411,213,168,181,527,492,701,695,268,074,474,812,046,105,325,
271,267,617,016,309,356,525,292,352,402,326,637,608,161,137,875,972,820,968,
998,913,647,184,380,810,277,980,640,760,685,163,782,025,789,358,294,082,059,
703,919,076,922,951,754,343,861,012,579,599,008,204,040,846,671,959,223,411,
556,574,367,805,901,803,907,081,901,804,605,733,863,416,033,082,709,680,109,
330,373,549,923,637,857,931,686,640,933,429,905,722,362,588,103,692,451,103,
186,715,000,317,060,434,280,895,562,441,153,525,379,969,299,727,550,825,166,
940,014,133,357,708,624,114,797,904,125,363,689,000,124,494,381,965,666,162,
216,228,769,906,604,149,894,516,551,674,602,828,970,190,625,008,842,221,383,
100,287,990,951,010,000,886,429,280,453,268,523,167,225,164,599,603,854,423,
822,995,592,405,748,606,125,431,477,280,889,789,849,903,769,250,485,977,990,
976,700,445,338,452,243,587,843,196,639,594,569,338,715,953,741,241,277,164,
438,702,488,746,209,834,313,789,547,320,988,361,673,043,466,143,276,367,856,
329,683,395,916,721,823,376,852,250,293,597,246,052,823,905,097,134,489,222,
588,169,808,693,816,440,969,554,991,237,794,774,756,942,977,864,346,525,840,
742,972,984,818,882,216,610,871,598,755,604,844,324,846,833,056,000,635,975,
248,648,978,474,912,061,467,634,531,212,588,399,591,320,812,631,360,952,420,
526,503,710,677,681,807,730,242,957,445,427,499,804,104,734,881,176,360,788,
238,711,057,246,799,173,482,163,156,992,001,918,434,515,054,321,598,907,826,
262,625,690,900,251,467,424,023,226,031,419,122,863,090,949,689,314,792,571,
195,489,541,665,516,416,580,264,824,583,966,894,315,309,649,732,976,083,453,
157,052,110,240,887,508,026,338,415,872,483,556,711,886,211,301,661,226,524,
916,031,303,153,864,513,046,217,684,367,129,651,768,944,989,819,691,539,458,
610,988,935,949,019,161,385,743,567,090,905,100,446,393,143,638,068,366,781,
460,538,664,965,810,337,987,708,096,310,656,012,207,621,191,398,590,724,889,
323,682,280,473,681,253,249,305,096,744,542,973,095,649,991,255,654,889,755,
952,288,442,738,838,388,759,715,442,006,464,207,112,935,636,167,967,351,330,
171,359,720,234,430,292,950,619,600,520,016,137,898,679,577,554,080,066,629,
861,040,325,055,659,268,911,880,353,323,196,140,264,574,613,778,605,924,684,
590,500,087,699,553,808,739,722,267,006,494,852,682,046,487,138,035,703,258,
665,668,379,066,212,412,482,048,308,771,018,108,838,388,298,680,995,530,781,
681,781,583,997,968,960,569,543,825,414,159,615,104,903,267,384,743,942,002,
989,297,650,006,712,798,562,710,996,652,042,090,089,519,680,036,454,805,530,
302,406,112,940,846,448,954,599,623,181,200,622,772,339,940,663,984,345,407,
937,969,480,859,844,208,669,622,338,268,525,988,239,284,084,024,872,180,004,
510,346,743,752,500,483,616,378,364,931,444,259,817,815,496,474,826,358,687,
030,283,217,054,476,677,134,033,824,798,291,765,999,467,564,054,321,878,293,
208,732,380,254,049,511,008,675,379,804,701,499,665,038,934,243,914,386,834,
102,477,077,363,689,224,629,640,785,532,325,724,504,413,462,022,004,293,915,
586,961,615,335,904,703,131,180,351,181,379,430,890,777,434,286,422,525,965,
216,906,673,777,421,504,792,380,179,160,499,642,385,298,702,235,036,315,973,
835,160,943,110,830,359,112,244,984,028,255,091,768,283,392,483,654,492,572,
678,328,473,152,344,441,059,350,763,714,052,565,043,029,866,316,296,853,718,
612,130,469,658,051,568,011,141,548,673,222,985,933,922,421,719,854,359,158,
004,495,208,972,945,403,029,455,717,400,560,251,633,117,775,529,397,705,153,
536,931,282,435,499,615,020,435,808,534,424,053,999,305,605,350,734,385,280,
054,210,135,144,551,993,213,039,635,678,674,857,795,898,784,659,345,259,096,
887,013,008,843,597,826,649,228,476,283,642,109,582,331,841,290,709,145,542,
058,111,643,025,095,257,667,868,955,944,525,522,961,077,812,619,308,573,221,
672,119,726,899,767,378,665,874,642,916,635,377,008,220,699,257,213,486,892,
034,608,237,881,931,819,450,161,474,682,125,629,514,781,836,414,589,763,910,
577,017,289,169,813,211,465,681,476,713,318,450,448,375,304,582,645,679,528,
184,973,864,594,435,845,682,585,656,177,532,372,020,474,895,374,992,676,185,
637,066,468,861,266,655,177,652,801,148,135,147,416,740,433,663,154,617,291,
602,026,788,989,175,906,315,516,048,882,244,101,152,113,704,975,760,776,249,
994,891,175,853,604,459,548,295,827,148,407,144,496,187,458,741,646,352,696,
374,844,748,328,793,035,931,313,468,366,790,148,981,176,561,843,591,498,058,
379,845,734,674,940,100,055,274,932,703,709,420,255,612,195,432,212,130,553,
952,696,167,665,393,994,248,295,476,730,517,119,125,931,155,605,581,083,452,
693,882,722,010,674,286,490,369,327,031,972,654,331,806,411,118,470,088,595,
634,397,452,439,285,133,734,236,669,195,660,402,022,848,354,129,702,449,999,
060,026,441,273,971,341,513,330,979,567,373,185,395,535,020,112,135,122,279,
346,842,089,264,472,991,815,647,531,953,159,422,875,281,735,636,502,031,853,
788,285,842,197,991,457,818,640,121,960,320,377,167,822,005,337,899,544,382,
498,038,530,425,399,964,447,090,292,786,141,144,787,816,325,809,355,095,463,
030,508,701,772,484,582,877,975,465,418,358,727,134,470,009,579,914,364,073,
743,655,203,504,373,300,335,661,383,052,802,672,553,464,976,775,237,600,748,
150,364,981,481,576,927,503,394,420,337,663,194,716,743,874,026,241,070,263,
433,246,479,364,699,601,570,065,391,924,762,503,738,585,191,363,759,088,447,
815,610,972,340,273,156,575,000,697,992,089,571,300,125,530,371,099,918,061,
684,048,397,020,703,789,060,874,559,107,414,764,671,893,075,195,726,175,216,
555,345,426,642,226,125,676,522,410,633,679,738,772,341,842,951,544,625,190,
543,826,000,147,520,737,604,129,425,929,477,910,819,680,234,380,163,901,356,
245,208,767,867,753,482,296,055,673,914,656,225,529,037,487,186,844,981,623,
540,377,160,286,801,354,246,215,599,876,176,970,797,817,933,627,492,301,684,
706,294,535,028,450,627,319,513,151,827,364,203,002,340,818,548,692,721,083,
535,799,610,871,771,839,351,118,880,085,302,553,897,503,973,599,504,172,614,
943,759,444,306,525,372,535,449,225,877,033,713,689,187,123,306,683,920,091,
407,339,484,999,120,356,955,887,482,204,143,560,468,951,436,350,923,453,494,
921,543,807,995,954,602,502,419,377,307,957,849,537,932,124,832,311,268,251,
602,896,774,525,491,502,973,647,446,066,195,995,757,698,979,057,430,899,380,
267,898,655,199,186,455,689,535,337,369,937,948,833,834,049,209,111,477,477,
485,930,568,823,714,943,116,413,380,853,434,225,027,623,510,764,617,597,219,
896,588,512,331,588,772,613,004,501,631,233,798,020,523,052,008,087,060,187,
397,692,281,227,389,209,951,372,215,131,674,465,575,615,614,363,811,241,197,
020,692,308,183,680,960,822,325,507,567,367,610,681,560,898,169,186,505,296,
652,442,469,272,472,862,832,438,927,176,187,177,337,879,224,336,389,949,923,
878,421,228,906,552,516,028,194,126,427,592,844,248,418,964,715,455,150,907,
568,939,407,815,521,812,693,449,581,936,471,507,548,235,831,341,406,458,301,
925,471,381,631,843,681,727,399,389,759,357,057,268,665,354,101,337,214,577,
231,317,549,342,561,508,003,135,207,704,216,060,785,671,780,256,664,347,157,
202,290,092,302,740,557,432,991,775,032,175,818,547,383,759,316,835,982,684,
224,516,932,496,474,331,561,350,681,991,159,559,691,133,705,162,470,452,741,
000,954,507,788,746,627,748,662,706,534,387,420,550,355,383,956,145,733,656,
904,509,577,142,805,034,206,131,485,232,938,247,388,662,359,083,110,049,531,
734,366,606,412,833,760,583,342,620,921,151,670,490,464,859,105,457,246,979,
952,437,565,891,092,664,106,388,897,429,736,334,158,206,178,036,498,603,145,
757,174,386,639,701,771,687,935,375,514,647,537,507,105,379,665,213,855,501,
292,906,096,741,358,012,292,719,061,715,036,500,411,724,646,612,355,692,181,
345,756,313,113,334,221,303,782,621,758,743,036,370,363,599,093,483,167,304,
308,282,461,042,332,679,935,535,284,254,207,482,545,413,687,667,178,959,505,
575,489,855,692,385,152,864,159,850,072,759,309,553,875,951,201,418,145,903,
978,504,780,105,032,828,453,774,499,528,138,859,867,018,703,095,254,426,198,
239,484,320,107,569,830,118,639,002,277,957,039,407,861,404,572,965,944,154,
538,702,994,505,235,274,921,845,496,852,528,792,138,724,950,011,985,964,478,
881,747,552,326,848,053,847,337,350,111,656,382,667,995,486,844,702,528,965,
852,059,511,883,712,722,733,698,176,347,341,698,451,622,848,636,568,139,035,
715,127,273,854,228,769,512,257,319,909,999,368,285,583,125,106,438,011,923,
690,260,400,446,000,184,079,808,607,186,477,296,786,853,173,132,929,046,600,
193,892,524,592,466,081,440,465,226,845,530,966,142,756,357,454,668,224,540,
803,573,871,377,288,841,928,582,141,058,216,143,463,390,668,135,861,889,872,
839,308,615,633,312,854,095,226,513,466,459,819,415,176,665,530,519,889,583,
704,589,568,779,264,201,146,695,761,881,486,381,127,956,208,240,023,562,149,
522,440,838,332,848,777,101,665,587,085,997,427,832,239,892,952,029,765,762,
888,827,263,079,476,079,413,572,898,938,298,087,333,870,970,226,932,054,470,
816,557,054,477,941,511,458,370,009,290,233,953,912,969,465,289,744,082,642,
958,043,033,858,517,089,904,848,415,443,192,198,746,395,594,817,624,838,968,
513,460,303,973,037,183,358,090,541,303,135,152,475,486,243,091,085,104,225,
342,601,643,763,507,530,623,555,501,032,057,031,790,016,924,233,264,867,735,
858,953,762,156,833,122,180,932,572,878,485,091,352,031,475,790,357,843,059,
783,998,704,852,628,649,900,632,020,609,479,422,227,600,598,820,596,665,057,
712,071,409,388,374,538,706,832,965,698,472,505,657,256,400,200,223,680,366,
960,592,245,132,175,186,195,614,398,116,002,958,732,238,625,088,775,322,105,
590,306,790,263,223,523,900,675,377,423,567,626,308,235,708,609,111,320,801,
316,591,371,488,100,747,923,935,221,834,969,286,535,022,828,201,155,430,219,
512,353,152,539,157,875,923,659,008,296,605,752,720,987,259,044,051,944,700,
171,151,051,735,243,956,077,012,945,896,475,119,111,389,466,879,533,195,656,
170,623,274,918,213,783,271,702,811,760,611,358,694,486,717,598,734,972,994,
212,522,197,436,352,712,364,440,377,095,505,799,778,345,067,464,694,581,805,
632,284,471,561,757,000,712,320,628,600,593,769,281,559,354,210,679,905,370,
590,513,269,446,896,704,973,618,824,398,436,919,331,592,243,187,369,616,353,
308,599,075,641,802,773,061,252,520,663,493,714,458,754,906,550,658,269,075,
281,052,067,765,573,715,381,961,252,283,537,631,389,066,025,410,759,270,060,
803,032,946,385,753,048,560,076,042,961,159,034,684,232,378,539,202,629,496,
018,907,014,497,316,206,790,404,224,472,832,291,282,944,668,328,813,989,515,
770,219,026,092,399,743,069,497,903,275,565,625,485,049,996,847,181,954,500,
935,849,819,921,865,719,858,549,029,649,443,369,280,462,177,027,236,297,447,
607,898,850,731,278,422,005,072,360,876,435,313,397,411,519,591,746,016,004,
867,052,392,231,074,078,102,254,922,937,677,018,874,597,378,441,069,542,857,
772,698,957,735,616,775,990,478,973,642,476,404,205,156,482,222,508,625,240,
605,331,080,832,056,801,492,287,495,408,304,857,861,619,761,988,594,847,318,
071,163,585,862,001,005,354,697,314,367,492,646,812,201,172,938,509,736,324,
517,481,495,839,133,650,581,742,816,728,223,573,500,497,183,283,236,640,433,
779,633,181,221,627,699,599,456,358,764,474,172,938,267,988,793,575,507,273,
803,836,732,353,934,380,367,354,760,577,816,619,454,457,151,235,137,478,919,
611,185,433,145,923,323,381,377,856,871,538,028,908,413,766,344,821,459,080,
155,395,482,160,081,208,681,785,824,521,075,465,142,167,869,106,218,525,006,
692,670,215,469,117,460,939,808,410,591,908,459,023,160,356,389,499,521,687,
736,392,579,411,256,367,132,160,197,765,319,388,835,502,987,004,615,971,461,
704,174,808,232,914,930,326,609,583,978,841,494,396,451,068,495,590,369,724,
591,871,241,842,146,330,079,439,367,376,001,992,102,495,762,788,207,067,175,
481,470,373,506,661,461,111,924,311,587,570,776,918,266,304,054,250,516,841,
886,408,728,588,015,345,935,041,316,686,270,807,071,959,704,495,427,332,103,
666,720,084,585,164,133,848,645,070,687,249,443,416,352,766,122,154,398,114,
077,527,276,463,630,190,881,817,788,578,723,064,612,850,813,010,152,979,732,
104,430,790,572,300,498,932,464,276,262,716,893,085,050,265,496,131,133,088,
314,038,772,115,275,077,349,182,095,203,628,330,331,901,830,765,735,522,114,
904,967,054,631,211,211,589,272,430,127,532,650,753,641,531,142,767,423,113,
246,125,809,145,156,109,969,121,998,608,148,339,783,996,936,598,910,752,123,
146,911,666,726,425,610,518,760,927,133,157,258,654,752,333,664,148,344,323,
736,052,880,815,946,316,219,650,441,499,802,015,134,659,536,440,039,242,689,
983,052,188,972,644,505,592,285,341,853,998,038,455,390,629,502,977,068,951,
242,669,977,634,780,807,392,936,774,836,911,804,626,128,279,404,402,106,082,
620,371,106,332,316,833,769,004,876,284,268,621,620,661,607,099,141,496,019,
701,272,591,694,912,853,868,445,873,828,106,202,203,451,461,915,646,821,403,
734,014,455,148,600,790,299,175,827,567,035,129,170,026,927,637,660,862,945,
350,079,407,107,999,619,714,575,576,286,090,000,581,662,067,355,192,124,701,
812,668,795,865,421,265,068,735,151,810,411,815,677,591,922,059,427,943,936,
969,846,799,310,166,323,982,729,257,370,008,078,492,991,425,453,200,756,888,
167,598,979,514,085,096,015,913,705,171,233,837,190,132,496,850,775,642,259,
823,769,642,974,775,107,651,511,397,272,625,093,329,035,288,442,036,565,577,
569,622,135,404,367,724,636,898,792,445,368,663,887,294,563,106,977,654,081,
783,365,448,838,084,291,522,816,778,102,154,932,303,446,037,834,239,939,650,
877,078,804,244,029,658,735,677,303,687,246,246,519,150,166,251,111,405,091,
256,121,060,394,531,179,824,623,811,415,509,235,338,202,158,330,777,444,051,
040,518,305,235,448,820,668,687,377,029,320,471,891,609,089,133,579,240,168,
998,746,433,022,395,485,271,533,237,817,547,701,589,383,814,609,641,343,066,
908,052,202,994,235,139,104,466,663,345,963,821,351,938,655,928,202,834,904,
578,057,233,527,917,128,737,002,562,405,482,100,560,096,324,963,045,407,351,
162,377,246,062,476,855,191,080,914,345,092,419,313,580,776,243,669,073,718,
238,715,684,467,574,783,129,521,090,454,125,561,442,235,387,416,295,594,936,
098,237,073,819,829,350,828,391,254,849,598,765,833,030,503,995,415,942,933,
471,754,588,203,269,488,263,647,039,952,121,760,786,094,021,820,615,198,904,
891,120,912,815,640,550,601,868,167,767,275,714,985,186,109,731,135,874,946,
814,524,396,335,752,570,970,233,329,986,921,229,866,985,914,232,527,160,772,
475,988,607,987,400,064,917,326,105,651,182,334,329,999,870,698,836,847,861,
019,784,905,201,845,966,704,023,245,175,182,997,912,547,386,587,373,950,039,
844,342,286,501,132,542,906,908,978,240,769,823,170,923,851,888,171,169,640,
737,974,170,725,051,178,032,264,318,113,241,457,848,861,182,392,127,497,932,
336,377,801,303,564,395,834,236,145,282,078,414,024,224,973,891,491,600,169,
935,619,003,445,555,229,570,438,020,248,636,420,481,433,786,299,910,346,930,
462,549,873,910,061,550,416,497,692,563,163,439,881,873,914,942,010,302,164,
924,382,367,253,557,194,488,092,052,812,692,250,289,723,826,749,306,758,414,
456,111,799,208,856,218,102,668,237,309,023,717,092,608,839,368,859,334,788,
192,579,394,133,049,417,081,723,562,887,643,013,307,339,738,097,835,678,456,
570,696,529,782,258,220,602,695,906,810,431,967,749,355,433,725,352,248,841,
085,100,286,064,930,161,346,252,853,530,253,203,550,009,511,105,947,927,570,
457,845,631,076,519,593,681,775,530,975,384,418,788,668,890,009,719,964,428,
130,055,768,318,479,904,020,698,976,307,466,048,404,197,561,120,843,890,518,
811,750,009,033,522,232,203,772,335,062,542,317,275,645,290,136,869,964,714,
481,877,933,478,382,820,082,520,828,467,813,430,700,055,268,889,742,573,953,
219,659,980,608,887,766,312,452,017,907,957,419,493,260,753,984,407,088,497,
618,207,866,790,978,073,133,802,352,387,469,908,457,371,300,681,585,202,317,
663,931,568,200,876,653,633,303,275,171,614,598,207,680,900,840,203,960,052,
508,912,490,927,863,769,553,537,747,560,145,053,334,461,750,680,513,919,394,
626,863,785,640,285,392,586,218,522,116,771,728,122,144,639,370,587,964,034,
899,174,639,363,789,150,158,038,135,186,306,041,778,840,844,532,866,755,067,
140,709,643,468,204,732,678,636,715,225,105,627,861,401,801,252,004,679,532,
490,560,722,633,958,053,230,988,748,695,355,365,058,008,120,977,120,034,909,
066,352,236,185,161,630,263,358,841,104,444,750,897,034,725,883,637,840,277,
364,141,660,281,580,760,967,629,208,410,554,014,748,000,132,155,416,504,771,
828,012,866,359,496,874,296,800,587,545,131,967,914,215,550,683,015,091,836,
071,992,830,108,139,609,259,683,119,219,956,804,673,865,568,073,057,462,140,
043,817,035,647,035,725,822,497,010,910,148,570,996,623,369,685,542,380,816,
217,794,480,046,335,377,043,617,616,150,192,372,255,114,108,899,656,654,331,
680,240,464,861,082,766,992,915,927,288,643,938,163,676,080,676,856,270,197,
694,989,877,831,408,737,178,756,587,232,061,261,402,335,366,209,130,437,357,
024,144,794,016,814,939,535,110,198,254,275,875,644,182,684,374,312,495,668,
129,482,340,605,103,662,419,948,558,843,358,173,558,124,891,757,142,699,280,
238,156,995,721,483,207,214,860,276,766,118,992,549,853,004,456,137,247,846,
208,980,514,100,647,106,145,881,069,370,412,495,319,256,612,676,953,478,647,
772,608,416,966,771,424,387,647,159,543,963,028,004,819,536,637,735,807,114,
947,106,125,977,480,694,359,244,685,231,669,136,209,294,326,201,325,642,655,
828,324,966,786,927,216,874,675,164,216,105,422,143,773,177,263,767,119,819,
850,298,033,116,137,912,457,935,571,767,452,114,903,367,713,226,924,798,667,
199,410,696,063,723,848,438,098,363,971,785,060,139,653,509,149,035,356,349,
688,896,397,631,262,279,321,740,751,966,295,533,252,593,868,603,031,463,457,
257,728,219,182,729,928,519,756,444,467,841,016,411,696,970,485,466,609,603,
752,666,026,145,324,971,339,912,724,482,566,936,949,771,718,831,370,837,598,
571,989,724,711,199,967,719,717,966,632,445,511,237,513,968,716,907,449,109,
892,349,552,893,145,401,486,121,487,289,253,407,525,618,603,501,165,400,209,
643,919,340,512,991,251,658,273,944,569,892,609,997,061,876,660,746,872,825,
245,117,496,030,648,710,307,722,427,459,969,157,952,338,999,116,889,823,643,
885,112,594,202,639,228,273,802,304,971,394,813,183,451,900,972,498,073,918,
699,046,995,393,177,174,509,076,104,713,789,199,111,176,870,547,853,332,141,
369,677,071,956,059,742,293,109,516,803,917,478,942,625,057,543,886,861,578,
326,317,526,977,561,336,836,269,078,018,215,678,565,198,816,471,551,556,305,
531,093,408,778,319,487,467,906,900,274,967,105,771,260,729,221,098,413,505,
215,607,285,516,670,542,736,091,886,415,371,809,070,414,933,265,672,878,736,
968,802,862,646,499,044,177,814,473,830,844,955,755,933,630,953,100,445,769,
698,282,426,342,557,160,475,223,947,643,577,467,030,453,554,116,249,554,263,
668,167,817,584,387,380,749,956,620,792,697,754,857,058,025,898,139,588,300,
758,357,394,957,083,096,998,453,879,479,902,135,894,126,989,038,294,098,176,
383,557,139,819,026,501,773,984,763,748,169,210,002,828,122,829,860,353,457,
539,669,875,900,524,387,024,733,533,506,919,803,946,562,171,303,129,985,028,
321,052,263,551,500,322,493,607,447,101,654,820,929,257,641,286,171,641,739,
139,848,016,082,867,401,165,132,145,966,337,437,475,751,682,494,006,663,651,
351,846,096,569,333,283,490,899,256,896,783,734,511,861,299,937,082,019,284,
660,610,728,119,905,184,571,609,153,088,452,367,187,950,998,108,363,446,419,
071,707,660,442,223,861,943,139,175,883,056,014,124,130,964,050,090,462,805,
328,054,226,654,903,569,072,511,671,091,600,024,618,461,510,490,064,967,767,
456,654,070,897,244,076,912,636,368,489,869,723,589,217,789,294,027,711,329,
436,455,153,154,687,763,045,226,121,270,738,501,300,508,033,698,923,804,774,
790,202,244,293,382,350,058,678,470,489,823,203,924,453,084,564,167,313,456,
108,925,225,311,068,982,808,206,075,488,087,077,347,225,870,373,730,817,257,
735,553,027,872,108,509,607,453,378,708,137,677,761,387,968,567,199,823,933,
643,833,895,030,053,847,698,016,320,688,987,516,421,793,169,281,024,034,559,
671,004,204,794,939,063,784,526,114,919,077,518,495,627,669,203,794,031,176,
914,234,205,436,208,136,596,007,202,124,828,737,237,274,448,840,266,049,207,
812,652,485,517,669,905,332,011,984,502,611,027,134,859,544,288,076,170,738,
633,019,920,145,533,071,964,890,159,699,314,447,282,806,503,854,082,171,581,
954,159,355,589,983,428,314,842,456,874,919,082,078,376,246,961,499,020,717,
644,770,264,648,422,099,640,216,362,373,387,517,806,843,780,878,848,731,143,
953,862,640,005,826,347,982,699,922,695,658,152,545,978,605,780,703,181,755,
476,929,431,245,525,259,226,236,929,852,726,972,839,262,961,365,245,990,070,
910,634,150,624,168,179,021,934,876,129,696,138,720,183,560,655,660,263,413,
244,590,844,367,636,865,279,412,993,904,439,365,045,611,809,040,637,182,979,
934,632,633,646,124,879,558,739,971,491,412,882,784,160,911,566,048,391,168,
128,190,828,051,557,614,768,730,618,320,529,449,223,121,572,985,280,033,642,
255,308,040,563,133,825,763,990,796,429,147,940,751,974,132,539,695,774,633,
363,825,684,057,276,534,703,598,154,205,025,359,108,619,054,773,446,145,217,
998,956,602,827,580,100,594,569,602,741,837,239,901,547,195,982,627,740,590,
530,150,612,902,568,753,464,915,983,548,710,266,617,684,260,670,434,737,229,
341,897,166,626,982,438,309,793,078,249,438,982,258,593,199,516,117,596,216,
555,809,405,417,296,941,930,340,779,111,849,165,897,968,747,748,553,398,341,
763,310,362,655,016,770,310,826,635,634,848,065,925,519,287,775,725,239,308,
125,033,132,414,383,590,928,388,346,316,879,601,562,911,646,699,977,782,052,
773,821,190,615,666,245,550,360,493,927,552,080,406,989,994,236,587,045,616,
988,423,825,573,903,712,647,490,008,163,037,941,387,119,238,427,334,642,516,
348,108,162,981,752,489,947,574,845,350,298,765,057,463,492,950,323,597,490,
657,823,157,196,204,241,622,943,470,198,394,411,069,029,141,757,737,171,078,
933,898,274,511,094,711,807,089,764,504,550,167,343,335,120,813,891,793,596,
831,580,093,969,966,503,052,402,081,081,399,140,876,149,832,188,740,594,726,
703,764,492,998,469,115,914,032,761,971,852,840,720,436,961,211,731,255,712,
903,390,850,366,547,195,250,243,351,410,300,267,750,972,403,701,416,075,051,
034,756,639,617,519,966,153,369,833,235,908,298,649,775,968,248,170,477,313,
624,786,566,280,918,663,509,788,316,953,907,578,877,973,802,896,183,921,545,
743,698,745,117,552,795,845,506,525,246,106,656,460,103,860,424,904,729,025,
288,458,386,254,405,947,918,865,881,437,448,548,574,038,325,667,202,848,052,
943,136,646,360,718,874,920,861,239,002,600,941,724,332,094,886,570,394,306,
480,657,195,525,531,267,759,933,299,726,451,182,264,715,916,284,724,875,949,
096,667,666,220,674,318,649,059,455,868,308,342,081,073,214,123,169,708,528,
892,052,782,974,838,075,797,127,693,883,359,746,322,765,819,376,495,784,782,
093,322,227,326,294,399,267,959,104,803,161,137,417,009,004,353,113,209,531,
307,633,412,407,234,794,707,059,006,712,076,985,088,007,892,392,406,131,239,
746,902,966,835,347,777,997,948,615,658,563,059,289,471,058,461,063,866,584,
100,239,535,505,502,469,372,229,577,359,688,661,458,838,211,054,016,057,554,
889,463,706,185,167,019,350,259,129,858,402,144,500,581,870,176,987,154,982,
696,624,685,870,287,653,362,938,607,557,832,566,605,485,485,789,619,220,007,
954,867,183,827,818,046,643,573,669,799,336,353,213,461,767,598,261,369,646,
501,958,948,424,026,563,620,190,484,986,913,683,880,337,547,877,479,104,468,
690,927,074,343,568,213,803,392,063,150,692,781,456,472,088,501,259,492,910,
794,879,990,134,071,861,193,028,084,886,322,209,052,930,171,321,269,922,617,
031,296,604,019,424,134,060,146,241,932,517,686,110,256,298,094,307,626,387,
879,830,186,777,116,570,599,082,308,197,319,680,569,692,225,533,220,794,230,
565,912,324,383,042,663,077,235,237,045,857,583,960,323,104,397,434,872,611,
130,784,501,728,050,693,948,981,023,189,404,407,301,763,038,079,645,671,369,
491,414,230,064,250,940,676,161,900,081,944,541,584,415,872,108,947,097,310,
329,202,763,561,856,056,205,133,510,710,520,405,458,291,714,369,605,716,239,
606,226,200,978,209,501,161,757,911,829,278,088,101,671,147,717,653,680,569,
148,792,833,684,856,034,140,811,273,183,073,105,322,721,625,725,651,436,480,
595,825,984,606,140,399,617,380,552,241,788,612,243,500,064,608,136,173,724,
172,043,045,506,823,778,272,043,828,667,954,748,991,239,007,515,861,414,961,
377,612,467,479,373,462,798,363,350,583,464,062,617,316,371,663,999,028,946,
294,998,383,228,526,411,958,432,590,918,597,634,069,781,262,996,464,210,600,
935,709,089,171,565,493,517,258,018,009,672,084,919,095,982,705,041,419,143,
823,533,260,781,202,806,021,402,709,480,252,899,051,759,138,954,300,383,844,
747,371,792,017,824,652,969,205,379,871,001,159,065,747,267,883,130,694,033,
810,600,478,922,482,767,993,997,100,612,887,406,019,799,454,043,513,055,759,
043,869,759,554,488,342,736,626,665,929,516,015,204,252,830,521,764,413,990,
057,107,996,248,676,924,318,149,801,686,981,495,085,496,988,707,052,393,042,
944,302,488,892,373,686,878,255,695,828,021,251,779,364,674,804,931,514,406,
287,523,667,199,600,352,549,828,455,398,928,164,549,029,151,219,010,019,029,
033,135,002,432,638,672,859,294,501,929,192,292,411,423,486,319,585,461,482,
533,370,669,023,878,193,699,583,654,937,110,790,158,180,078,585,304,205,842,
294,470,373,170,862,900,332,119,325,992,249,893,930,272,981,525,364,439,754,
658,170,943,975,738,104,355,864,052,327,346,200,883,457,113,171,786,345,171,
642,105,700,205,194,129,549,583,864,753,161,346,084,551,182,394,259,505,581,
989,410,526,303,416,371,712,383,752,864,030,635,230,821,460,375,897,065,046,
166,269,314,122,359,428,064,546,863,201,929,548,006,268,813,606,379,465,513,
681,415,935,879,015,650,757,281,593,919,212,575,007,724,434,324,183,401,856,
920,081,115,027,240,605,802,464,964,582,221,951,564,845,275,489,656,139,095,
984,106,541,966,564,900,117,623,683,745,573,762,933,093,675,873,665,198,624,
308,124,634,456,637,187,668,558,672,104,801,164,565,554,128,644,661,624,201,
909,116,298,526,387,662,349,168,367,342,250,506,512,063,609,144,667,438,228,
861,016,019,236,374,589,874,410,396,977,852,823,643,322,625,654,515,969,440,
408,316,752,946,816,210,621,958,528,466,397,247,491,911,766,956,917,684,520,
710,744,037,398,505,008,024,449,960,098,502,412,157,205,537,891,355,592,372,
510,359,792,306,294,889,545,141,100,728,482,642,638,826,155,728,700,569,038,
019,294,029,649,583,388,106,575,856,110,180,940,712,920,287,432,473,165,723,
228,333,958,909,949,127,795,938,666,088,726,365,304,603,907,278,784,722,129,
005,283,120,113,736,274,678,089,258,550,590,514,731,307,573,210,772,415,750,
758,234,290,012,018,220,303,324,870,574,428,304,060,368,533,258,013,314,344,
157,698,222,710,903,467,269,499,372,575,858,926,502,951,135,993,282,925,105,
234,173,227,856,507,695,934,617,086,344,760,595,992,256,326,900,967,744,441,
162,136,490,171,158,268,819,681,961,550,871,493,610,460,821,657,698,648,369,
845,159,601,933,510,354,992,895,729,202,114,446,558,351,044,377,796,958,104,
703,254,945,811,877,090,156,452,785,018,937,582,045,622,170,774,884,267,229,
493,522,411,416,194,288,118,529,811,453,155,287,017,835,320,972,807,033,601,
663,492,085,166,269,261,606,373,430,466,453,365,108,670,130,037,767,012,267,
340,295,047,966,502,349,153,029,321,125,762,320,994,337,692,850,261,376,276,
218,371,076,307,515,583,860,586,532,006,664,509,034,680,351,816,393,481,882,
795,024,001,826,241,553,834,833,087,751,846,279,647,538,936,338,964,690,965,
029,665,297,472,586,175,657,907,081,035,324,430,881,595,351,365,140,853,920,
436,816,866,494,696,875,374,497,447,161,404,105,607,211,645,501,587,806,113,
362,338,212,787,602,071,804,718,811,338,285,163,857,578,125,752,347,923,857,
174,525,927,291,136,946,354,891,701,922,576,675,125,280,493,102,624,194,180,
209,913,784,992,418,092,469,215,123,666,292,837,069,685,533,882,305,913,806,
786,225,958,098,739,300,128,992,179,292,380,846,137,932,649,274,752,437,980,
035,838,074,724,481,487,312,268,022,233,625,116,132,736,241,453,884,139,392,
649,502,628,794,901,072,198,877,563,835,341,793,029,137,318,668,627,395,566,
064,810,543,649,168,393,805,174,920,440,738,120,948,990,429,140,837,437,897,
342,251,182,920,912,342,532,689,824,366,004,711,460,785,195,185,539,679,277,
595,750,357,860,291,787,540,544,797,269,012,976,023,395,914,650,025,877,770,
818,382,044,503,913,192,435,696,880,137,811,653,309,753,443,033,969,113,099,
995,976,521,408,051,068,273,491,509,407,819,192,859,339,069,483,714,950,888,
534,393,753,708,171,152,631,910,270,370,361,680,505,146,439,773,112,007,889,
566,283,655,017,125,614,002,398,320,165,525,450,322,879,321,366,362,652,439,
314,068,388,849,714,740,577,768,588,594,740,619,209,531,223,739,167,215,100,
499,689,571,659,406,680,606,802,936,961,590,906,849,171,313,807,029,040,268,
663,923,943,573,871,138,839,604,012,977,630,772,354,487,126,245,769,412,082,
650,596,016,432,171,130,383,021,514,762,143,174,316,573,503,382,233,815,284,
275,263,103,056,535,821,374,870,452,384,957,826,584,016,966,575,608,531,843,
382,902,364,660,035,877,827,957,064,586,023,435,694,358,926,818,467,501,031,
091,034,387,614,247,531,563,726,957,956,346,064,834,342,207,347,640,335,184,
520,204,675,206,981,839,477,586,332,115,495,957,279,082,127,107,617,581,831,
804,180,460,126,932,230,530,932,779,427,560,253,860,601,270,917,668,796,827,
550,439,021,648,112,862,042,833,811,554,159,755,664,008,428,495,381,427,676,
365,388,536,358,221,350,297,988,024,456,646,149,605,273,211,229,650,888,688,
947,157,207,590,913,723,021,644,908,759,034,378,548,870,585,982,594,895,586,
750,619,078,870,992,831,401,480,782,848,506,794,045,544,098,914,514,694,909,
623,335,781,891,388,355,523,711,193,168,970,490,925,557,849,366,508,912,466,
503,787,678,477,196,030,547,097,622,804,486,288,167,783,770,113,889,337,256,
258,991,796,475,892,945,331,058,646,822,072,515,847,972,528,501,562,182,974,
890,464,112,988,856,560,351,744,084,499,835,913,001,455,439,713,592,992,212,
158,348,030,254,770,769,998,552,198,964,883,244,447,062,880,980,332,167,863,
805,076,673,097,517,579,948,537,386,577,220,930,754,573,878,634,052,383,047,
600,100,343,705,199,495,987,662,404,848,728,340,970,603,790,017,365,721,267,
122,140,428,013,329,986,323,477,493,681,148,189,151,609,422,818,171,011,933,
203,536,192,328,753,453,877,203,714,320,590,101,512,825,503,674,030,209,233,
873,079,099,698,125,205,805,364,644,484,637,921,493,934,347,538,523,144,451,
948,764,151,206,145,957,588,570,120,889,079,694,360,883,722,962,934,226,467,
228,240,852,972,364,731,426,025,145,700,492,272,546,606,962,971,479,024,007,
269,696,620,272,075,825,455,203,385,249,924,815,424,614,310,716,093,711,115,
160,992,778,344,176,804,788,920,656,073,296,081,785,004,487,305,617,802,066,
252,114,728,319,461,243,156,453,930,082,156,672,962,971,406,121,257,643,991,
098,857,154,814,404,991,462,712,600,304,765,677,865,010,220,153,024,683,660,
459,649,776,384,421,571,213,143,804,553,870,060,423,355,724,240,195,269,577,
591,636,612,607,503,289,188,805,410,916,426,682,111,591,510,339,019,046,279,
395,506,732,575,121,318,811,359,185,361,978,886,299,748,763,316,484,972,298,
097,908,623,748,091,542,543,541,231,599,177,338,005,559,083,559,883,196,330,
747,996,829,325,815,099,361,977,511,337,456,330,076,621,388,968,152,673,516,
865,967,334,639,640,657,744,989,980,496,800,412,755,917,578,835,165,925,045,
847,287,953,823,178,391,900,133,341,565,967,842,299,827,387,497,834,776,850,
033,025,902,287,591,239,584,503,383,779,973,124,637,219,315,579,122,890,414,
567,158,395,871,395,352,277,859,059,739,890,420,303,768,349,563,176,164,687,
609,743,731,813,571,436,601,259,567,393,119,743,293,928,332,933,824,329,377,
241,087,779,453,987,945,004,614,373,924,989,946,430,604,600,744,740,186,595,
350,845,437,940,755,964,163,823,017,887,375,397,666,423,420,654,761,822,383,
263,384,656,722,158,401,572,176,499,624,794,863,046,630,132,254,812,047,363,
737,380,451,166,711,430,339,527,092,270,285,228,880,684,901,710,054,910,828,
469,419,444,058,121,628,531,966,901,250,312,144,211,078,578,598,708,288,748,
231,824,820,326,414,275,714,321,274,513,241,795,156,631,761,911,147,294,954,
475,283,002,765,977,607,529,501,532,331,189,528,272,256,015,018,456,494,136,
654,472,773,940,408,118,300,098,633,453,493,138,304,789,805,025,187,118,111,
362,794,595,595,755,949,676,712,808,018,184,072,008,827,282,364,070,088,096,
805,992,327,019,079,420,308,845,505,872,678,592,523,344,308,509,269,232,901,
368,889,065,742,629,755,341,765,656,069,486,414,999,440,780,299,557,467,391,
802,334,973,880,669,833,850,872,147,620,204,625,947,469,714,632,262,967,683,
402,723,647,605,364,351,748,856,894,849,193,924,642,635,398,010,227,063,881,
791,304,198,792,916,174,338,928,510,351,819,507,983,483,638,763,527,676,158,
197,805,346,099,489,116,169,997,791,524,992,254,130,418,346,173,095,470,046,
013,536,075,747,886,960,249,263,200,795,987,063,988,864,621,939,428,878,075,
959,607,140,566,873,676,181,805,909,756,556,014,299,843,718,967,924,423,638,
089,150,153,663,440,153,704,481,957,957,611,291,482,265,307,922,496,122,776,
282,456,000,901,967,727,797,899,958,111,965,375,565,586,762,607,535,444,134,
570,985,397,842,193,297,604,855,268,720,521,334,396,676,943,872,637,130,490,
733,603,559,391,860,466,511,081,684,844,716,897,843,338,283,272,820,637,438,
261,625,674,485,596,910,532,133,483,578,509,815,909,879,326,162,338,776,504,
124,785,164,981,183,166,713,896,831,101,007,647,568,576,650,125,434,406,649,
520,750,327,946,501,424,939,675,627,804,094,273,026,587,447,650,992,532,332,
280,496,240,153,407,972,464,787,486,405,658,989,043,875,791,486,932,922,974,
180,145,632,134,302,220,822,588,545,063,247,205,500,218,515,820,008,761,210,
941,897,056,176,832,363,082,908,835,425,879,673,473,210,661,904,222,883,265,
928,929,702,254,885,020,888,408,509,301,575,275,766,135,564,011,530,143,225,
702,678,739,557,279,889,625,168,200,239,547,944,587,606,976,745,113,957,063,
087,996,299,669,400,423,168,726,924,028,014,447,574,625,371,877,037,198,709,
640,087,361,828,956,441,803,136,922,546,591,017,315,473,023,577,901,839,517,
976,545,847,765,520,952,209,603,955,147,960,379,970,357,875,631,374,214,502,
893,050,593,896,979,108,961,204,918,119,353,738,863,678,817,078,597,754,245,
013,706,700,122,737,399,366,406,581,768,264,840,724,279,437,118,304,715,428,
651,792,777,680,183,868,688,172,940,483,101,374,627,627,608,374,356,594,491,
853,686,305,882,026,450,839,367,581,375,926,537,914,870,209,104,283,756,159,
707,744,086,052,078,974,923,640,269,166,144,762,965,555,437,523,563,124,866,
646,679,459,332,428,772,252,962,324,315,483,302,219,237,023,454,299,118,425,
959,755,279,443,908,038,183,500,240,886,509,060,552,173,120,331,027,606,374,
780,867,596,452,856,923,484,340,032,135,460,579,243,821,065,629,441,901,173,
635,927,945,112,921,210,256,106,812,725,480,429,572,153,816,227,899,222,116,
657,560,936,864,373,184,591,949,569,120,027,982,010,099,368,519,528,979,057,
057,633,240,283,729,562,807,767,219,484,790,265,696,622,462,934,168,916,566,
658,772,736,568,577,364,684,764,110,665,087,532,523,186,398,236,907,840,658,
569,346,563,615,581,522,806,786,873,779,072,858,802,981,621,199,636,195,025,
681,041,048,400,970,030,296,164,805,290,116,147,213,586,098,462,689,457,689,
632,336,636,627,986,188,463,009,708,870,878,845,969,027,790,115,795,363,760,
500,033,306,617,374,268,639,423,726,709,886,553,375,306,179,192,810,974,645,
361,141,045,605,474,369,470,568,409,314,233,993,130,011,010,895,894,035,106,
231,966,869,311,178,619,143,931,177,300,868,229,586,877,875,189,268,775,726,
908,410,426,760,549,305,110,704,797,399,236,694,799,449,954,510,074,982,065,
096,949,732,283,761,419,907,932,319,270,377,111,626,132,615,798,180,114,937,
647,293,321,898,882,290,773,086,365,551,571,217,137,915,965,401,322,610,346,
857,799,547,702,638,687,676,059,526,816,266,734,320,368,237,864,081,596,851,
164,159,915,537,119,678,169,026,644,383,901,613,422,979,737,542,405,586,595,
973,378,154,806,200,821,138,150,435,615,401,437,585,937,716,825,104,628,363,
114,452,251,039,475,075,809,897,361,003,210,822,813,672,170,504,501,521,318,
765,680,808,287,111,549,752,479,078,261,087,377,988,372,194,633,485,995,703,
711,362,164,626,832,128,238,411,756,122,085,324,065,894,120,466,748,992,529,
873,606,641,890,956,920,998,195,704,614,439,420,359,924,810,990,064,462,885,
284,343,326,702,564,919,929,232,987,157,951,967,280,297,918,885,265,663,922,
721,602,007,578,345,648,567,940,107,553,138,666,255,518,066,812,674,955,843,
346,881,165,033,341,121,680,748,328,616,000,478,190,901,425,355,922,328,524,
925,688,561,161,995,864,985,169,155,208,812,367,360,934,342,666,485,883,908,
629,539,675,695,417,319,189,684,526,070,869,271,981,087,357,718,551,183,988,
028,945,981,314,103,978,745,242,778,106,119,701,920,244,100,120,354,441,121,
744,518,355,495,395,998,524,774,019,046,843,436,163,478,598,546,205,432,973,
409,223,158,884,300,648,019,950,240,895,746,853,247,176,491,928,034,279,543,
174,147,777,102,136,763,309,083,277,533,300,580,372,074,181,005,012,307,097,
076,393,639,712,903,015,479,896,118,615,317,193,681,396,407,988,420,686,744,
253,271,812,039,325,720,860,895,697,394,531,353,427,593,554,727,675,956,493,
585,072,453,890,153,417,836,156,886,740,203,707,515,730,661,134,208,845,352,
501,198,661,623,121,107,629,387,315,454,840,787,519,511,149,550,249,707,061,
898,007,022,267,755,693,208,800,406,413,005,233,788,889,629,023,843,813,183,
585,715,749,798,845,960,559,479,352,146,725,420,492,196,442,093,679,033,485,
671,879,152,713,465,860,068,062,492,482,789,344,559,603,769,109,560,386,351,
006,059,766,730,728,520,498,474,799,565,264,767,535,052,960,331,083,743,477,
589,182,795,639,765,306,874,073,942,340,527,738,788,852,858,354,594,826,409,
045,143,306,025,444,700,643,999,884,814,715,346,098,786,151,098,920,585,827,
709,091,382,509,243,517,213,374,959,372,563,483,278,930,793,063,928,171,566,
709,428,269,201,343,946,935,928,131,354,151,677,073,742,355,683,934,411,604,
865,874,713,223,160,658,871,727,531,893,340,485,130,366,856,644,767,449,492,
190,266,036,933,264,075,134,455,246,979,189,664,296,577,899,455,232,094,836,
396,206,618,781,066,494,173,051,315,996,185,912,425,700,863,393,509,937,582,
469,187,147,139,429,975,473,040,105,019,032,805,671,698,903,009,349,700,354,
536,709,311,855,369,194,438,947,580,595,190,647,568,627,999,109,616,222,057,
470,941,649,169,298,721,932,110,001,358,046,554,361,075,018,415,021,545,178,
349,370,035,332,608,043,496,142,489,690,552,444,620,874,455,920,027,221,726,
460,741,934,754,619,555,274,747,597,871,697,802,488,372,470,368,435,040,518,
313,457,013,151,551,900,636,406,327,345,939,267,277,092,194,333,403,636,522,
466,033,481,991,895,576,304,939,056,616,653,439,798,835,800,465,914,545,346,
258,443,468,278,814,038,375,635,581,526,958,687,759,509,084,118,829,095,957,
476,486,643,595,936,422,136,750,760,443,955,384,410,829,639,172,951,890,324,
611,220,486,419,852,875,620,923,417,246,393,167,131,776,334,754,098,508,768,
310,987,422,663,339,474,687,895,675,067,817,008,386,133,491,742,420,292,928,
721,801,513,527,530,588,851,874,895,015,844,325,770,632,093,638,815,737,533,
894,493,778,746,099,271,380,078,127,523,833,306,143,519,291,124,516,845,505,
525,835,977,725,286,580,540,678,902,664,115,400,663,396,638,118,780,012,755,
886,966,547,715,950,675,867,589,116,347,065,396,220,627,024,716,251,369,458,
498,686,789,948,859,664,210,728,247,202,009,233,529,835,184,239,783,254,602,
243,654,748,540,964,715,210,367,086,669,831,614,018,115,494,349,781,951,353,
684,791,655,476,252,568,436,063,284,542,180,335,271,416,160,584,630,228,185,
600,694,255,308,370,131,667,238,946,183,020,580,143,868,431,116,392,376,213,
408,842,298,965,632,417,533,152,909,358,646,159,740,448,691,863,179,256,801,
351,088,957,046,859,189,516,391,223,816,803,659,941,499,246,754,763,540,944,
406,831,779,623,054,260,649,063,670,780,185,465,202,823,591,655,559,226,834,
913,156,272,939,775,793,191,984,988,598,603,713,168,439,706,882,635,805,848,
309,997,140,794,593,333,203,740,298,464,245,509,817,357,196,638,570,421,725,
301,136,940,127,852,638,190,207,225,880,448,615,983,237,329,981,137,842,172,
111,299,118,850,976,602,485,871,841,659,881,569,736,769,519,681,178,334,390,
311,911,867,012,326,396,549,036,490,002,767,612,705,773,999,398,834,994,089,
017,232,217,594,750,017,146,177,793,671,072,079,634,233,345,993,060,673,579,
294,102,341,834,419,107,779,674,267,155,381,942,386,740,224,728,587,462,050,
299,376,170,809,956,610,936,077,686,323,451,548,372,161,163,109,504,892,766,
622,515,871,284,150,671,501,649,919,876,821,252,135,237,523,319,663,359,698,
327,301,448,147,854,843,463,053,253,207,030,125,750,138,515,349,030,067,339,
031,060,318,724,452,795,219,829,272,082,723,733,640,589,501,649,778,653,921,
177,813,264,296,626,458,422,803,421,956,875,026,704,662,399,443,227,160,805,
124,588,614,075,439,287,301,582,666,607,309,824,779,060,181,829,783,844,841,
811,395,600,707,699,598,141,159,532,000,199,488,288,757,186,431,654,813,228,
942,353,685,181,720,369,335,596,705,321,152,005,542,497,521,117,866,947,972,
510,698,277,255,352,994,180,408,742,360,602,641,589,746,856,841,211,523,039,
802,363,684,924,856,976,332,684,103,765,197,114,612,140,007,533,754,889,944,
330,999,409,272,991,769,713,254,731,724,344,851,844,630,853,370,816,988,777,
617,183,793,880,866,960,386,819,703,260,522,146,947,229,982,851,036,779,135,
593,803,327,484,723,823,826,841,818,634,486,964,269,027,227,189,298,610,830,
194,534,142,014,730,538,165,998,775,660,331,494,932,503,460,591,898,014,219,
015,219,430,941,005,325,222,269,734,949,172,182,702,076,777,191,953,988,488,
669,177,899,863,392,222,170,440,552,185,863,606,320,055,748,833,243,973,249,
574,757,108,108,986,619,683,438,176,904,806,786,730,787,955,802,991,340,954,
149,636,158,706,052,360,528,535,760,382,412,190,343,270,765,489,948,430,436,
811,772,653,675,705,676,923,014,558,959,230,108,478,092,837,341,727,838,090,
955,737,021,920,061,798,492,540,888,647,479,546,256,319,808,439,391,869,872,
798,490,588,261,252,512,200,421,887,441,071,011,001,346,679,735,487,955,639,
504,424,966,726,288,800,590,190,711,513,115,518,613,817,093,768,033,794,856,
050,219,652,880,047,717,205,949,772,245,015,508,264,989,074,069,064,422,552,
486,153,653,605,262,977,643,532,167,158,667,023,090,345,841,781,675,696,807,
057,999,537,621,550,476,595,625,870,921,003,580,642,628,419,892,098,646,716,
303,895,245,130,367,938,356,376,429,755,682,731,553,866,582,440,058,027,260,
446,129,657,475,564,943,682,938,613,156,104,365,771,308,534,208,569,537,258,
959,015,518,797,187,504,530,757,857,678,816,169,036,911,594,660,133,872,520,
610,367,871,005,276,356,123,970,969,442,766,455,419,417,942,148,671,417,708,
350,317,551,125,179,699,918,750,636,060,576,271,849,509,091,935,797,452,229,
034,148,534,817,193,003,144,619,556,629,408,790,477,754,984,000,830,659,137,
784,821,356,277,041,925,972,752,257,154,558,465,734,348,086,620,406,783,435,
540,713,061,317,721,021,889,273,325,121,923,554,636,030,383,523,108,670,979,
865,010,924,658,696,068,120,118,115,249,822,467,176,221,137,195,508,731,871,
569,090,835,857,050,523,843,100,039,766,301,345,622,926,387,974,307,436,937,
073,135,001,920,483,595,591,008,596,668,880,008,615,303,785,219,230,330,195,
659,957,270,813,586,191,167,377,203,738,000,328,365,709,237,474,773,619,495,
669,110,414,277,653,187,929,223,988,848,286,531,027,632,749,891,005,494,149,
169,042,289,850,744,820,034,264,854,241,057,223,574,285,415,574,384,422,789,
929,363,020,317,981,036,973,465,282,216,187,067,565,683,042,757,027,248,911,
400,291,537,627,997,176,838,093,748,357,770,425,811,808,451,249,336,075,589,
890,221,214,027,741,377,602,840,606,323,394,853,210,019,995,397,750,131,693,
535,613,679,715,333,300,856,864,829,472,247,490,613,978,059,697,040,908,305,
255,951,701,031,023,387,859,546,264,853,882,055,687,657,257,997,217,546,703,
833,689,551,937,589,230,296,167,762,755,346,133,593,483,795,410,322,129,793,
057,328,476,987,953,446,540,165,507,414,915,426,054,225,048,972,618,343,735,
372,040,787,426,404,466,809,137,752,415,244,604,858,775,288,666,481,783,586,
927,122,042,958,977,166,647,356,441,041,357,454,904,644,636,447,694,681,434,
293,971,476,244,272,014,505,538,271,631,086,536,375,094,896,459,410,433,305,
316,177,355,347,411,042,142,999,125,888,120,943,551,716,902,728,690,165,101,
383,567,245,030,190,055,851,337,171,173,287,104,297,907,222,316,981,365,244,
978,019,488,087,637,057,862,319,019,560,876,861,917,469,949,572,048,353,457,
351,179,215,300,665,762,688,526,582,905,300,689,852,204,776,787,806,700,248,
464,616,533,880,280,708,175,877,684,641,840,070,783,779,497,857,771,168,133,
490,335,892,531,121,350,387,840,435,956,883,078,051,234,740,751,350,703,134,
729,351,578,005,629,088,277,381,782,309,852,968,013,451,499,979,628,328,548,
180,693,255,024,092,214,847,249,225,432,799,612,930,233,558,200,025,996,943,
867,121,952,394,082,236,066,889,300,499,718,530,168,176,438,760,672,409,144,
986,016,562,378,318,283,374,401,439,873,367,021,920,224,658,620,521,044,921,
158,356,374,429,608,252,954,708,473,830,449,727,161,679,437,729,170,912,367,
364,759,605,249,734,488,809,473,339,650,127,351,379,997,828,878,739,530,103,
808,428,407,228,158,541,476,379,817,277,720,656,078,359,719,268,507,474,469,
878,131,197,993,546,642,059,393,031,127,748,064,153,076,244,588,784,093,351,
433,237,986,741,653,023,432,419,172,701,789,935,324,824,087,687,964,531,299,
610,575,796,716,041,727,534,047,838,374,684,090,112,294,762,004,435,653,736,
154,922,987,007,590,606,111,655,319,621,368,002,192,538,367,516,691,332,727,
298,529,323,042,802,992,790,835,079,545,804,455,693,258,942,601,320,570,007,
694,018,768,275,082,605,691,624,320,117,245,695,131,203,213,672,715,259,771,
151,531,492,404,493,555,498,307,002,019,510,044,748,550,892,627,550,276,156,
180,249,433,662,741,808,289,265,142,127,859,360,877,430,802,798,222,382,747,
047,614,612,237,745,853,533,023,453,220,037,126,590,616,813,827,003,410,784,
641,399,278,184,092,112,838,588,233,400,052,622,326,343,706,553,308,750,896,
778,985,905,474,996,096,559,456,892,898,234,117,417,249,019,499,934,186,113,
442,246,190,724,413,050,570,462,863,281,672,743,755,907,776,698,527,874,845,
299,611,718,774,947,297,861,270,014,481,794,221,005,518,261,242,210,327,605,
380,427,503,328,987,623,979,878,670,623,102,886,559,633,061,015,409,945,876,
429,556,454,710,535,598,019,908,555,435,439,698,721,576,061,114,381,203,319,
974,644,286,184,451,086,278,797,599,737,616,857,357,024,094,253,095,702,588,
479,508,657,248,292,551,326,513,958,648,929,034,765,533,885,883,549,037,422,
598,745,962,752,616,555,309,933,344,372,217,471,269,923,567,846,278,789,308,
049,938,520,416,456,678,582,968,137,653,156,494,693,955,048,289,650,962,326,
805,838,968,832,631,422,242,517,374,905,609,426,102,071,700,978,916,911,799,
864,395,156,136,299,585,070,386,681,496,333,326,623,527,760,822,326,736,218,
181,016,774,714,339,407,141,545,694,242,623,179,756,497,340,452,257,740,646,
685,384,364,708,324,754,720,881,222,686,683,136,379,790,474,646,580,048,065,
081,869,176,207,072,956,539,276,762,887,789,901,401,588,911,258,310,720,791,
029,863,588,965,588,591,977,003,822,238,538,220,234,756,347,913,812,889,863,
093,546,027,616,377,366,338,301,723,866,526,982,053,051,324,397,691,990,624,
876,070,479,082,083,706,898,823,228,957,134,262,527,940,584,024,059,057,190,
434,880,711,936,134,299,973,361,071,133,931,365,426,255,281,232,808,936,844,
297,108,585,186,784,682,035,322,932,252,721,207,545,925,473,714,315,564,411,
724,962,574,591,534,277,795,304,421,057,193,306,261,329,304,235,297,843,332,
417,470,011,168,741,599,424,682,321,061,109,033,026,941,706,546,530,579,517,
479,354,305,441,981,102,192,980,588,308,647,953,660,186,490,795,347,946,168,
198,693,623,658,316,402,471,311,748,168,599,425,860,171,829,804,364,453,569,
850,468,739,771,168,259,934,915,857,786,228,646,974,039,974,009,472,477,731,
243,096,693,806,217,717,639,304,277,273,642,790,662,434,157,220,835,893,809,
174,067,917,240,234,556,041,428,590,413,327,097,253,732,253,186,348,705,331,
040,108,843,538,031,940,171,643,694,869,988,259,702,479,990,574,844,505,747,
618,401,241,080,132,382,531,060,384,461,520,632,604,588,444,656,740,976,630,
540,204,856,797,020,067,440,030,291,374,502,246,516,205,507,997,830,304,682,
079,004,471,861,973,938,824,577,577,852,544,656,035,598,174,785,433,352,220,
059,622,963,081,026,248,052,957,663,422,624,862,548,539,490,967,537,781,808,
871,544,280,678,491,758,346,581,762,044,145,702,438,084,650,506,285,168,958,
597,045,298,086,254,142,448,464,135,620,182,212,419,875,899,104,325,503,762,
464,027,321,850,833,493,828,311,059,622,489,387,149,450,501,924,646,476,324,
006,538,598,758,469,775,375,222,213,720,578,366,162,511,721,557,974,124,737,
899,123,005,339,590,878,397,800,895,502,248,781,476,564,392,958,069,952,942,
976,372,477,933,131,849,946,691,194,391,265,413,170,964,920,346,143,906,858,
929,201,505,615,505,789,548,786,754,248,275,614,419,995,245,499,387,539,860,
369,534,266,048,527,711,775,098,421,237,675,193,018,131,840,230,651,831,273,
781,921,247,611,740,128,111,379,727,759,843,744,387,806,605,209,076,068,889,
633,286,971,872,870,296,145,496,531,058,730,595,055,430,202,387,831,515,467,
321,046,177,780,791,867,297,977,739,049,505,560,736,778,642,138,830,964,839,
249,398,535,318,300,694,274,764,412,703,062,475,039,554,463,507,838,682,484,
855,587,787,567,379,302,718,121,677,711,749,760,845,192,117,221,321,432,252,
714,099,560,403,622,471,544,257,871,416,208,514,091,290,696,973,217,984,166,
321,802,915,671,420,077,997,772,663,568,583,212,571,681,448,307,536,997,435,
648,975,668,741,530,270,514,847,774,236,546,226,166,033,683,430,659,978,012,
227,986,006,666,841,518,737,825,935,484,061,216,593,418,837,290,692,746,103,
259,317,528,137,093,612,336,808,584,690,399,624,719,006,933,231,539,718,832,
914,663,090,352,699,867,862,490,387,072,029,758,334,566,453,636,434,210,992,
975,077,644,441,134,618,126,415,498,201,177,173,713,101,121,389,284,373,177,
716,628,160,386,435,423,616,804,256,217,446,305,308,150,378,823,455,250,857,
761,695,311,816,110,059,984,298,628,531,836,329,705,993,604,207,582,625,376,
192,547,284,154,488,161,679,984,002,614,863,251,886,266,021,457,264,871,422,
314,596,617,878,282,127,691,574,483,332,781,152,250,017,230,555,471,369,693,
092,836,532,812,188,738,881,911,284,984,243,857,458,691,183,523,702,840,773,
657,267,627,239,181,910,950,118,009,341,862,346,615,976,973,463,384,743,422,
191,717,071,687,723,109,076,917,091,848,153,182,027,342,130,833,228,201,208,
742,353,200,927,948,296,522,462,389,218,790,133,646,765,340,004,283,597,942,
041,084,978,927,740,048,076,201,636,522,978,241,223,754,880,838,981,899,002,
395,732,359,044,297,026,901,155,031,505,344,898,276,769,182,278,697,293,381,
242,662,654,852,104,602,837,443,802,047,716,985,018,317,840,341,697,894,775,
144,861,320,526,581,852,707,981,813,246,391,494,280,341,971,649,158,010,629,
961,104,637,334,748,084,986,473,442,783,974,787,190,975,709,223,265,349,593,
949,273,742,453,515,023,773,898,651,200,697,503,830,411,168,829,196,877,437,
452,208,500,691,142,268,949,519,690,500,757,981,536,151,844,211,448,497,162,
899,921,241,525,311,923,988,456,895,198,157,830,003,065,450,377,979,337,420,
325,668,818,509,998,851,635,163,896,857,458,584,615,062,028,781,133,704,256,
781,115,639,704,498,956,230,506,399,268,764,058,729,878,442,460,636,866,277,
261,604,493,012,544,121,656,947,498,255,576,067,071,045,328,956,683,188,538,
770,185,564,167,869,416,200,008,765,964,518,900,467,784,963,863,508,740,027,
636,403,208,722,767,516,937,177,129,920,406,267,702,346,750,213,486,744,274,
941,103,756,229,385,224,395,292,079,367,408,863,608,394,138,586,973,479,854,
393,601,994,502,734,017,451,514,454,741,095,847,734,538,927,361,662,839,167,
893,624,538,424,435,237,828,310,779,491,782,954,379,266,667,560,799,772,732,
698,023,569,208,357,581,151,290,351,623,668,683,803,937,953,224,838,678,144,
627,967,037,427,242,850,312,939,595,778,537,490,050,049,746,193,148,681,226,
032,408,999,399,947,697,388,307,349,597,601,247,469,383,907,225,528,813,698,
670,916,889,931,082,867,171,952,417,104,515,874,132,979,242,088,024,813,892,
321,348,304,235,114,524,174,477,537,850,216,051,428,206,287,906,123,071,262,
673,168,936,263,906,179,001,971,600,989,798,527,694,895,530,819,922,529,698,
079,351,508,673,970,240,047,096,499,587,743,053,592,531,033,827,537,624,648,
577,491,844,039,752,399,245,579,817,144,906,205,654,931,647,133,057,747,015,
347,800,259,613,959,236,672,877,953,262,203,662,405,267,540,241,090,791,224,
068,271,578,376,075,887,606,222,262,637,478,910,330,321,947,303,638,807,034,
531,221,056,638,213,903,259,590,874,426,544,959,851,734,539,590,820,148,084,
312,619,943,302,668,835,439,749,782,737,240,931,271,933,055,281,082,676,010,
385,641,170,789,369,269,102,594,899,817,714,634,536,142,553,681,794,632,084,
280,389,481,521,978,593,295,882,820,259,087,897,695,775,504,645,136,773,146,
516,121,107,177,280,837,797,979,146,923,469,374,381,089,572,015,751,088,780,
081,746,392,031,322,175,487,378,503,253,522,803,807,067,017,866,553,519,685,
787,284,418,840,592,007,277,186,230,027,330,699,011,922,657,120,100,625,581,
716,413,789,712,557,946,054,080,042,589,200,146,369,180,265,558,169,513,643,
418,100,661,995,344,448,818,503,754,579,725,126,938,808,129,597,344,455,942,
628,341,037,880,816,890,147,072,461,776,247,247,165,924,213,100,383,560,132,
546,792,068,712,902,495,624,567,597,996,355,730,119,469,665,843,930,416,691,
787,901,751,240,544,016,125,915,269,009,501,146,315,787,152,070,346,192,937,
933,807,318,232,895,553,106,441,391,941,307,482,763,129,607,125,490,892,506,
628,607,379,493,885,759,102,020,579,132,785,050,952,680,545,328,974,256,851,
985,841,647,851,934,307,129,460,139,319,355,505,909,086,989,030,573,246,889,
376,077,311,089,587,124,380,580,699,668,756,483,758,769,864,755,832,439,094,
164,522,657,311,784,635,557,518,726,378,791,793,010,174,162,144,618,779,295,
593,537,903,253,442,653,313,909,484,732,163,445,302,974,274,522,847,068,571,
714,779,100,789,424,893,050,795,293,640,205,802,729,719,747,216,768,767,175,
573,750,483,319,234,207,492,211,344,922,053,280,178,369,184,284,036,589,281,
738,626,606,351,796,822,342,876,182,997,579,006,456,145,226,103,998,062,472,
876,101,970,932,367,269,843,269,424,305,351,475,964,658,640,767,102,644,978,
743,023,991,924,706,908,294,511,849,151,472,285,486,256,574,657,664,908,619,
096,949,719,401,740,552,938,239,438,783,581,001,159,250,646,546,806,471,342,
215,765,215,132,624,379,115,472,388,229,628,970,733,824,775,609,748,555,029,
556,385,828,994,896,708,196,512,347,339,277,337,629,675,887,142,292,486,548,
124,799,573,362,617,633,282,121,459,292,616,662,840,753,955,704,727,159,719,
949,674,590,127,224,021,655,553,559,185,666,738,231,463,497,570,863,492,818,
028,153,182,459,079,480,657,103,884,646,124,930,332,895,340,857,436,361,272,
261,627,510,414,895,088,846,367,881,575,227,909,600,256,239,781,055,587,335,
256,139,459,831,161,424,560,092,773,314,445,080,266,551,481,693,020,694,609,
908,398,204,786,851,622,888,655,113,439,640,063,660,083,487,532,588,373,000,
878,130,518,131,260,477,142,595,394,235,609,554,376,224,245,327,761,887,830,
132,494,211,768,505,609,660,826,070,426,765,940,368,865,962,385,660,236,451,
773,267,905,515,939,689,047,323,393,344,366,120,926,194,475,458,306,244,539,
423,889,073,148,138,428,315,424,575,376,427,004,090,153,816,885,333,800,096,
832,008,689,970,904,535,010,809,871,858,942,996,193,232,410,201,372,131,613,
540,177,530,026,089,716,533,074,915,546,710,264,174,146,387,982,568,445,417,
548,304,244,514,474,710,884,282,766,993,647,936,306,114,376,553,084,209,104,
141,004,497,069,360,898,547,028,824,992,988,008,485,567,668,257,801,117,894,
923,698,964,710,397,771,130,111,629,531,321,924,301,200,287,896,327,836,557,
771,270,761,987,474,192,943,100,064,536,483,242,281,241,744,636,672,428,512,
586,702,667,419,174,664,905,515,499,761,416,391,548,836,224,733,997,496,197,
882,948,097,807,330,854,837,306,323,695,266,913,917,452,154,846,186,198,005,
702,781,937,339,633,823,388,896,626,619,814,330,745,248,633,599,190,846,746,
056,996,350,599,725,756,303,636,995,471,762,028,078,301,604,516,682,330,489,
193,142,051,966,867,840,455,790,609,627,610,109,170,373,962,454,783,341,165,
904,298,265,369,123,957,651,464,219,747,510,936,373,151,708,880,305,540,569,
530,611,032,697,312,386,861,045,034,651,271,904,906,512,365,533,553,829,163,
175,170,646,577,926,891,095,168,526,300,557,490,796,675,201,841,244,553,461,
521,254,515,725,977,435,372,976,089,967,183,754,531,107,421,797,930,449,727,
255,021,097,752,020,483,388,053,809,364,431,102,166,259,362,006,240,532,598,
668,945,209,548,373,711,933,415,053,769,714,434,083,533,547,878,205,069,159,
863,868,880,752,140,318,087,164,034,167,885,043,637,999,811,040,599,144,627,
791,886,664,117,782,380,176,888,178,239,879,109,373,847,190,454,617,578,608,
441,619,007,033,428,983,324,401,387,255,477,931,465,431,474,326,488,458,639,
665,077,162,712,637,473,914,270,193,325,782,845,005,004,309,354,672,260,098,
936,383,471,338,411,690,576,914,254,410,656,821,594,162,391,645,215,513,581,
261,282,277,078,571,833,576,788,419,562,282,272,151,938,254,672,277,943,154,
089,036,569,764,457,877,039,737,550,633,536,828,576,670,558,199,671,650,578,
225,877,980,380,614,843,047,641,670,967,682,096,525,312,678,023,806,626,595,
492,443,713,605,517,527,947,144,586,865,490,400,402,695,507,059,387,281,983,
256,959,909,681,999,142,607,967,157,209,646,881,969,129,772,179,865,646,064,
144,124,784,700,682,037,583,026,934,451,267,205,425,839,580,675,984,581,284,
896,462,589,827,406,366,751,377,314,195,952,853,151,846,892,722,715,641,508,
731,976,834,854,194,193,649,210,755,278,706,578,717,225,351,827,108,337,227,
293,788,242,654,375,676,062,506,417,699,333,445,940,445,033,176,642,485,124,
000,038,125,491,886,376,090,427,244,037,764,742,274,712,348,048,092,836,747,
242,964,368,875,044,801,004,848,674,063,571,063,527,810,579,834,700,967,626,
605,119,020,863,043,192,776,681,417,351,758,692,829,049,190,943,256,047,895,
583,787,652,028,276,023,305,009,974,902,090,458,927,963,562,191,794,162,264,
036,266,707,172,150,055,824,321,420,277,885,735,649,891,441,422,000,994,536,
998,656,202,047,409,480,083,410,537,977,428,696,757,105,090,040,861,919,185,
299,312,292,892,511,167,238,510,740,745,132,512,535,745,695,355,055,571,871,
274,793,501,807,036,790,948,030,338,124,427,224,997,255,644,797,606,700,055,
781,522,802,498,634,145,352,762,386,896,932,754,671,656,203,166,921,574,244,
813,302,248,273,213,434,899,248,326,665,420,890,283,137,386,718,139,692,811,
660,642,116,449,029,198,805,052,175,803,929,110,191,849,364,794,160,061,220,
575,406,963,907,895,395,578,155,507,778,103,046,753,987,520,788,640,433,363,
030,673,091,160,744,250,400,477,855,907,974,955,379,518,842,593,944,475,492,
154,134,649,883,323,101,173,880,448,295,983,915,465,213,367,294,822,983,750,
162,841,142,425,461,396,741,584,203,630,712,048,751,304,878,672,057,820,184,
921,074,847,431,045,285,782,545,675,430,837,808,775,312,659,460,187,755,286,
717,149,805,161,463,700,216,401,991,544,448,185,644,298,087,784,733,444,475,
439,545,723,690,817,114,879,570,651,115,251,019,653,501,395,530,347,268,497,
965,689,377,885,280,173,089,137,551,694,436,717,593,527,333,260,239,503,173,
582,910,295,388,663,888,361,640,515,776,036,663,634,954,154,433,218,776,640,
561,959,275,673,680,198,214,907,790,001,486,428,092,335,739,750,037,442,108,
834,236,474,677,755,997,679,663,354,078,830,101,201,166,558,254,075,965,707,
149,506,080,639,233,934,595,410,816,858,735,953,364,807,221,063,638,927,559,
166,943,837,381,628,498,686,815,009,391,121,040,308,598,759,571,595,055,094,
641,154,219,571,661,009,334,620,879,412,241,359,003,311,725,986,049,071,280,
630,323,367,190,727,508,647,977,898,486,368,969,890,658,160,109,786,045,052,
565,655,472,060,530,342,036,050,170,595,217,125,526,310,567,961,503,956,193,
078,926,406,865,355,986,152,898,537,770,499,083,059,354,921,605,039,253,164,
814,259,239,037,125,967,892,923,463,881,648,560,811,875,661,648,277,986,835,
103,030,097,822,685,562,409,839,853,015,574,018,542,965,868,934,057,843,265,
414,007,806,736,683,165,026,133,308,728,963,672,210,313,018,028,351,295,420,
166,250,124,251,084,445,396,276,556,925,897,365,127,472,865,605,317,374,571,
414,720,939,107,899,501,165,551,787,270,812,881,862,463,012,051,395,708,040,
290,809,529,009,585,515,890,592,956,286,666,718,801,691,134,408,435,675,473,
447,491,793,325,561,409,180,747,473,819,746,882,022,290,022,338,190,385,116,
350,562,466,773,381,460,559,442,771,701,807,485,903,911,753,385,130,882,121,
070,373,079,493,881,051,626,332,994,667,131,745,750,231,323,191,398,067,565,
149,720,411,153,155,296,820,905,025,702,687,430,309,174,634,632,367,560,542,
075,331,807,737,333,399,017,073,922,049,112,962,983,481,645,341,559,445,264,
549,019,559,618,798,745,838,005,947,621,867,165,886,480,931,760,056,569,135,
628,981,355,161,470,913,376,482,956,290,517,182,263,937,754,161,145,965,535,
502,352,135,991,292,275,940,195,088,043,075,098,039,621,339,567,439,859,004,
126,320,000,605,060,230,691,451,124,638,635,484,945,289,223,756,596,277,068,
977,194,323,242,232,338,621,479,424,435,705,133,547,016,979,805,137,388,422,
429,883,655,489,002,448,920,064,334,741,388,829,765,929,036,780,319,800,054,
788,199,432,832,580,784,166,680,054,049,334,265,735,042,496,201,271,063,349,
247,494,377,830,822,537,465,210,833,398,458,570,249,836,204,007,474,524,910,
825,494,875,817,002,794,436,331,026,671,973,554,651,847,075,831,924,016,872,
453,365,404,632,177,538,081,867,708,748,336,032,404,727,180,411,975,103,135,
964,532,936,355,786,166,516,998,321,242,039,973,844,842,288,306,987,050,627,
684,825,420,885,540,727,042,672,442,137,801,063,405,075,013,863,780,991,454,
283,455,319,490,373,392,155,139,369,839,068,316,783,577,021,179,360,929,649,
225,630,844,728,978,818,077,966,644,562,079,151,049,793,053,674,827,721,434,
444,764,037,196,420,380,631,862,564,866,235,818,635,921,906,008,072,997,611,
873,153,953,582,562,875,389,908,619,313,181,529,110,839,176,435,948,965,748,
439,535,998,503,819,644,280,965,087,734,708,929,553,086,847,026,845,808,607,
786,692,285,652,080,686,905,446,267,259,828,216,950,518,578,670,262,238,485,
287,637,994,471,908,398,042,517,446,165,864,110,026,658,266,081,983,746,641,
367,975,626,920,677,043,912,174,600,203,751,151,752,925,338,184,266,597,390,
875,312,922,171,179,129,424,643,809,662,595,353,247,051,320,166,934,611,759,
459,315,336,008,172,163,109,221,024,022,670,780,230,059,633,048,090,256,639,
575,643,931,589,001,170,754,967,372,352,273,020,141,560,571,638,939,947,160,
843,638,998,985,477,892,211,092,635,674,630,940,103,122,018,107,063,580,887,
927,380,768,251,042,015,466,582,699,231,391,062,775,284,852,221,891,437,846,
677,178,910,308,023,396,861,502,811,095,121,295,068,256,828,646,385,864,312,
842,941,698,232,225,126,749,967,038,728,185,906,712,133,160,959,211,536,993,
465,335,185,423,893,137,119,280,795,585,544,209,450,616,501,182,738,618,614,
431,698,121,788,875,839,827,542,314,704,147,537,034,378,064,240,027,093,631,
074,239,401,250,581,187,906,406,335,126,479,641,914,778,639,405,731,433,279,
497,852,192,198,573,826,467,443,006,366,369,646,904,015,392,954,256,949,021,
158,075,003,457,949,573,159,425,481,965,203,651,608,595,855,332,764,485,930,
213,936,418,157,010,791,715,392,986,770,137,235,205,574,075,243,187,661,261,
257,056,196,547,142,124,241,854,225,956,225,268,341,132,041,454,873,856,108,
915,514,757,611,695,171,423,426,095,738,739,656,359,358,784,434,927,664,192,
388,559,801,384,721,291,445,327,172,232,510,549,180,598,300,466,063,097,299,
661,422,625,318,348,320,448,896,939,069,676,711,600,508,814,520,997,747,044,
520,414,199,647,660,219,567,253,374,240,085,074,017,588,007,669,735,921,180,
551,072,858,037,818,511,138,108,674,777,576,970,997,958,143,378,423,575,879,
478,968,444,569,173,077,247,337,292,054,487,873,754,980,677,099,063,952,995,
740,223,564,666,188,000,444,605,415,279,375,948,809,854,789,524,109,659,568,
562,571,791,071,499,755,504,989,936,593,938,886,386,036,766,477,422,893,428,
366,323,249,029,932,612,231,637,471,785,564,598,218,394,311,599,752,574,009,
720,713,871,741,857,525,651,957,469,368,373,741,573,354,550,068,366,325,166,
580,492,694,201,625,907,164,017,346,994,535,985,487,263,612,112,063,975,170,
142,698,826,116,067,432,431,234,975,966,019,105,608,779,498,179,204,518,055,
543,830,777,247,848,080,379,723,606,420,527,333,872,270,537,497,939,727,166,
239,318,769,668,154,843,661,334,575,249,363,227,828,888,024,265,098,726,306,
132,631,260,264,381,270,149,176,093,258,133,048,228,933,762,838,855,056,566,
544,486,793,028,418,950,178,067,392,757,663,565,076,908,615,121,646,751,600,
953,941,377,598,783,322,426,096,483,201,640,729,497,398,219,196,188,576,541,
086,156,514,184,490,344,155,581,203,241,479,428,377,864,211,065,225,030,561,
767,804,725,778,142,927,361,358,826,295,535,340,417,708,130,890,836,662,972,
015,169,531,640,329,003,875,243,853,008,434,267,711,731,444,415,703,126,307,
580,725,556,366,345,177,603,179,030,338,029,240,339,115,898,206,263,909,194,
324,296,942,772,083,653,339,628,179,996,811,053,454,106,536,036,499,427,892,
511,660,287,232,951,230,837,566,446,191,533,770,316,581,897,358,951,349,113,
874,025,459,557,511,398,153,514,586,170,795,025,349,033,938,455,090,627,846,
394,507,735,428,443,223,760,158,832,817,525,028,145,353,991,068,478,310,968,
667,005,624,330,976,860,394,569,856,068,322,656,007,304,484,518,980,633,108,
776,043,751,448,893,953,757,433,619,280,998,866,926,369,780,182,681,189,741,
225,903,184,037,504,810,610,090,802,119,702,181,988,255,010,868,179,458,211,
710,814,801,755,214,399,923,952,599,882,099,290,274,710,810,002,111,283,524,
188,217,833,864,814,725,342,592,485,495,372,842,212,800,705,567,914,793,936,
376,319,892,843,278,236,082,361,828,921,130,066,363,992,450,603,859,184,964,
727,986,017,627,654,664,446,079,474,118,290,049,799,700,103,147,878,400,891,
985,341,693,622,757,003,556,111,188,152,950,144,461,214,147,977,456,573,665,
506,053,024,310,242,429,384,778,371,730,825,127,083,492,683,269,979,574,928,
457,194,148,601,137,715,134,483,770,639,760,404,753,084,403,090,334,290,756,
998,711,486,618,806,792,137,802,208,647,622,241,355,189,596,366,748,778,965,
824,064,487,381,834,817,705,356,356,338,254,185,474,652,772,760,988,361,862,
255,137,855,878,376,046,696,323,170,177,453,260,045,395,814,305,678,745,518,
111,928,443,742,524,700,485,614,291,149,985,585,806,651,326,867,736,780,820,
953,995,876,165,552,537,824,331,254,318,119,946,105,024,425,013,871,944,277,
663,153,445,670,818,559,235,480,324,000,325,389,311,804,198,876,631,644,966,
414,883,966,868,265,532,971,676,080,626,868,594,142,347,630,343,041,704,838,
176,953,943,914,822,658,081,350,264,015,556,200,620,207,696,363,494,427,771,
739,277,570,344,838,348,236,879,852,198,924,526,535,857,220,599,836,094,747,
846,036,573,249,701,625,404,912,713,378,674,172,932,871,884,013,404,846,660,
307,107,221,795,472,531,179,566,664,653,160,662,297,569,739,380,731,762,640,
654,411,734,990,342,780,576,092,459,084,118,358,818,930,627,078,463,619,642,
837,149,726,337,845,992,234,257,871,365,055,537,539,841,196,754,462,272,676,
468,118,887,314,135,487,607,241,272,519,542,798,457,928,863,578,626,874,763,
999,797,317,993,408,739,789,057,177,031,987,484,871,956,447,058,357,769,177,
950,809,266,566,421,292,205,714,057,257,691,521,799,153,447,094,248,430,698,
327,343,971,999,711,137,414,500,191,601,970,146,628,954,616,100,858,833,197,
821,176,907,253,005,597,900,159,288,939,601,881,031,275,205,927,403,962,677,
534,836,967,449,777,563,552,710,091,829,979,286,166,725,989,583,050,637,166,
306,725,118,425,953,806,561,478,381,801,817,667,529,143,536,654,274,868,665,
747,292,819,133,645,066,754,464,591,319,687,398,658,306,490,362,359,332,857,
414,695,318,978,520,651,781,628,256,700,202,097,908,732,896,996,693,639,454,
316,048,932,783,964,289,705,256,857,330,531,116,664,303,520,291,313,649,656,
762,068,214,598,995,883,542,111,271,858,139,337,104,014,532,733,475,963,512,
650,754,020,281,245,712,463,005,233,162,491,900,323,976,009,630,267,610,603,
447,666,362,180,921,093,994,356,965,752,751,370,566,912,530,657,697,970,191,
241,778,329,734,271,716,736,950,051,341,887,193,612,801,190,666,642,921,745,
601,656,898,455,271,304,943,820,871,799,252,870,440,243,407,509,966,391,598,
173,166,923,744,285,090,320,916,575,255,846,199,925,355,300,379,350,350,419,
385,112,379,530,181,553,890,152,591,696,970,386,035,052,475,505,507,670,849,
063,937,123,855,469,711,138,294,157,998,151,914,420,927,845,395,756,230,422,
939,992,475,633,655,020,251,502,376,765,511,536,933,339,282,750,622,336,876,
054,963,765,832,810,185,918,272,908,871,810,190,844,264,783,786,536,939,335,
603,605,958,084,476,581,181,354,252,597,638,093,945,394,451,562,782,799,206,
031,793,058,965,646,800,854,823,313,458,596,379,357,299,860,275,117,122,260,
816,024,627,654,992,340,339,510,404,559,463,231,180,778,358,619,157,672,164,
356,940,222,452,614,937,600,669,725,596,277,866,969,787,385,316,067,356,500,
480,116,628,305,795,232,696,395,289,036,460,280,037,784,588,037,798,593,239,
392,015,556,555,803,787,117,868,980,330,721,436,043,249,861,421,894,752,206,
311,737,303,742,960,916,774,545,759,622,583,117,057,773,727,388,916,169,417,
401,107,984,459,917,293,708,123,332,313,444,420,260,025,980,338,301,061,660,
729,631,633,008,567,453,573,898,552,237,530,639,686,452,368,965,026,344,741,
592,722,163,329,932,068,808,108,147,940,999,905,688,921,563,834,185,418,399,
153,972,832,053,498,993,399,590,647,540,967,830,546,101,652,415,748,252,727,
024,919,576,045,069,977,225,218,536,616,421,429,292,941,435,325,502,994,399,
110,366,814,125,383,666,865,568,140,193,883,648,409,083,466,493,217,735,819,
547,018,320,445,612,079,660,087,943,054,653,366,766,764,538,079,311,384,244,
484,869,075,353,150,567,858,280,221,712,170,529,587,763,833,041,109,019,952,
841,431,527,113,594,269,864,982,131,924,958,702,633,104,591,490,375,034,861,
772,017,785,434,379,734,641,439,899,741,243,617,350,128,474,968,150,937,422,
081,499,968,855,604,692,534,423,406,941,870,770,562,079,605,429,275,746,246,
288,577,243,499,379,997,758,896,806,034,398,142,951,107,510,612,824,442,411,
639,107,867,911,127,469,981,080,653,279,212,650,061,413,163,386,543,409,268,
775,974,130,137,940,491,944,650,880,398,439,601,868,857,174,073,430,318,279,
294,494,530,414,593,100,067,115,728,530,574,100,039,199,350,922,286,912,409,
650,905,751,814,680,419,418,131,163,672,773,754,888,222,641,806,418,487,758,
800,069,192,603,213,285,962,301,153,851,544,463,049,116,506,032,204,783,734,
211,360,532,726,876,439,151,410,508,936,104,987,649,016,441,727,277,020,348,
288,961,726,841,338,064,296,029,153,732,827,536,560,673,644,564,655,729,382,
959,480,158,953,331,011,627,388,483,890,537,716,461,357,860,972,750,443,621,
740,440,437,836,239,145,485,233,144,109,157,765,114,417,147,951,013,899,085,
774,996,196,089,671,337,624,024,202,029,928,576,134,774,537,983,943,813,038,
276,512,109,791,231,990,339,117,586,423,735,865,360,441,706,730,153,721,470,
055,494,352,145,676,888,898,645,748,804,150,096,764,852,673,002,646,511,100,
144,437,274,499,346,535,532,346,858,513,725,509,582,019,474,026,049,504,171,
764,800,252,667,787,750,053,491,888,593,204,606,786,804,307,660,964,777,859,
258,972,345,349,620,448,218,666,511,594,132,249,858,851,835,512,688,850,216,
141,097,782,740,021,838,560,596,926,526,040,419,745,535,318,400,764,064,329,
097,682,345,969,995,551,983,207,898,930,821,988,148,705,115,445,553,561,958,
587,241,208,996,419,378,192,826,341,529,440,009,966,298,601,915,817,140,827,
146,715,849,758,065,613,524,985,629,974,997,253,921,250,074,266,935,532,067,
232,450,812,299,831,207,055,000,765,444,962,960,508,404,973,831,074,689,827,
245,877,694,887,754,493,581,453,688,248,459,798,234,047,794,141,914,290,680,
968,589,650,456,544,761,687,175,001,727,920,309,353,771,026,149,859,772,876,
451,685,979,812,470,309,896,659,317,143,038,836,478,361,626,085,601,338,628,
567,388,680,877,012,941,846,271,121,201,322,392,250,475,700,562,688,904,691,
003,708,426,267,837,698,840,734,198,646,328,405,837,609,171,067,357,639,109,
880,142,650,021,168,944,029,948,416,127,028,439,120,018,030,260,562,269,500,
597,964,027,452,726,518,919,337,666,546,778,252,282,853,698,825,655,573,942,
975,062,128,885,929,545,779,707,929,512,896,558,660,875,991,635,181,363,195,
031,384,528,929,463,732,355,480,917,618,556,328,851,292,273,159,674,443,319,
354,153,690,218,129,233,669,285,564,943,463,567,059,902,899,418,452,391,596,
056,279,944,822,037,418,101,049,869,841,317,233,425,952,833,098,771,206,846,
024,864,814,627,351,312,576,402,255,430,126,088,402,004,996,340,750,517,850,
963,116,643,707,353,514,553,459,936,977,267,521,974,188,262,242,464,062,972,
301,504,040,882,693,634,063,416,699,406,574,812,326,065,045,967,683,195,831,
288,515,391,917,920,839,742,157,612,527,009,443,141,469,658,052,219,490,411,
424,618,159,205,647,057,157,943,693,332,566,716,924,427,136,191,714,216,641,
681,405,247,954,903,099,107,178,595,639,159,853,571,671,821,723,847,918,554,
650,006,146,589,396,497,434,560,548,095,589,114,325,660,189,322,061,361,364,
242,595,210,700,169,207,609,188,241,848,987,355,817,956,607,605,532,612,882,
711,918,330,693,984,930,473,645,564,849,355,584,876,585,377,921,998,995,269,
910,759,971,989,125,897,370,395,444,557,143,892,903,245,125,500,811,154,943,
929,863,199,080,868,588,489,018,681,496,818,163,241,609,673,689,474,923,619,
937,559,599,883,099,219,725,490,737,854,503,190,242,684,118,553,451,722,006,
524,501,620,629,478,181,330,487,051,760,869,082,017,551,267,780,162,807,553,
729,351,212,308,813,556,076,746,667,844,032,335,623,651,947,385,295,946,221,
034,843,015,963,805,086,294,801,517,344,351,924,997,975,780,288,929,984,790,
881,811,210,564,726,656,218,392,327,617,268,498,199,574,840,696,384,064,412,
760,349,225,534,835,484,730,106,228,315,532,252,554,197,104,748,730,358,869,
082,584,523,682,700,795,224,918,879,225,998,116,045,179,339,168,352,176,318,
075,328,325,325,403,458,632,940,777,165,757,954,517,037,646,988,296,161,728,
838,480,172,270,505,255,853,481,460,999,383,472,152,895,195,414,737,397,369,
459,235,570,344,117,265,050,206,631,394,030,597,902,864,301,983,518,287,467,
016,775,319,676,003,961,045,479,749,808,227,076,980,852,488,602,463,219,230,
716,503,983,158,241,988,646,058,185,231,822,699,420,288,330,627,741,409,717,
496,197,504,338,000,321,653,661,772,639,375,351,338,309,083,035,948,278,021,
526,207,401,278,195,173,733,253,178,324,143,538,570,048,926,801,281,384,123,
809,654,907,266,251,727,030,212,068,233,512,044,282,975,711,249,744,873,607,
605,513,148,036,357,805,836,017,205,608,444,845,785,731,282,372,366,762,073,
109,487,252,043,413,405,107,437,000,705,432,859,069,267,925,671,294,602,413,
560,608,933,120,144,698,519,640,662,692,389,305,296,708,289,642,778,090,369,
457,865,050,843,233,111,038,406,448,270,653,134,524,523,239,798,861,532,688,
493,741,090,293,047,848,087,890,631,708,301,686,727,838,459,018,780,009,345,
646,126,358,700,311,992,866,871,687,374,441,476,156,495,799,988,621,819,597,
999,567,421,025,064,740,386,849,926,191,707,695,394,887,250,848,573,713,225,
271,968,497,050,636,917,976,201,923,684,900,717,553,753,135,504,604,481,978,
513,292,614,450,041,161,692,434,296,103,432,518,013,491,349,491,516,522,566,
625,944,422,966,764,039,404,145,657,236,613,270,322,586,246,256,207,025,825,
114,781,538,860,153,980,694,829,270,699,692,389,655,824,708,559,930,217,351,
328,024,398,738,132,955,669,624,143,086,985,506,413,768,450,632,578,850,126,
463,690,396,636,170,931,011,433,153,264,820,061,318,906,590,370,471,864,869,
157,229,281,195,631,840,496,807,122,318,992,926,342,724,997,403,265,549,281,
800,971,035,979,625,648,302,119,878,132,653,548,290,408,358,037,107,543,834,
831,871,562,511,109,738,321,897,333,229,710,318,415,346,141,895,456,497,169,
693,408,413,644,914,078,895,812,156,488,740,577,126,220,186,444,375,061,854,
347,963,136,994,221,757,963,242,152,043,349,224,835,710,634,570,142,647,239,
654,157,760,641,215,843,329,642,410,798,715,280,029,304,497,774,153,410,566,
281,918,781,250,817,430,573,966,167,981,978,738,441,669,533,360,702,443,029,
129,940,306,506,391,789,094,236,486,377,203,503,788,958,581,810,614,476,646,
812,652,274,837,450,107,342,443,831,517,027,489,751,172,322,244,111,234,956,
120,254,422,951,109,694,140,033,564,504,295,921,980,208,159,722,506,320,563,
891,079,314,458,859,136,106,855,480,297,118,572,496,149,463,098,823,747,495,
630,170,221,788,113,271,749,905,657,261,204,074,232,837,715,959,150,832,718,
736,801,534,400,024,814,672,552,301,695,527,455,179,342,848,614,950,662,460,
386,825,128,580,035,247,847,768,402,577,524,610,004,767,260,806,593,806,214,
143,413,401,479,671,220,465,450,715,947,253,766,808,459,556,774,441,834,247,
492,169,882,558,431,546,026,733,681,787,643,300,867,380,505,400,172,216,435,
927,539,519,736,120,535,620,100,607,166,900,325,503,988,040,885,087,815,091,
791,018,164,148,228,666,451,295,320,970,253,730,087,833,966,944,374,797,407,
369,879,044,386,032,836,830,154,588,813,441,003,522,396,577,861,705,006,490,
502,732,288,104,657,714,130,086,248,810,017,382,226,743,177,416,609,804,754,
172,919,947,997,565,061,470,659,372,465,679,589,526,714,879,906,118,749,040,
665,091,520,502,765,781,043,271,088,001,398,407,801,276,501,354,789,971,516,
278,493,416,970,199,555,032,358,250,591,156,221,292,080,067,510,978,918,099,
850,511,714,239,259,946,580,745,481,119,492,469,929,912,169,062,866,777,900,
500,349,182,558,026,587,662,667,424,620,364,776,041,645,367,929,457,246,438,
466,083,157,834,430,295,507,339,767,429,461,855,597,783,643,795,224,440,658,
598,556,954,623,018,273,129,751,279,442,101,591,737,357,891,458,382,265,483,
012,781,836,140,692,558,440,108,038,886,767,819,190,467,036,553,644,927,078,
977,766,595,150,349,470,914,973,114,861,572,029,416,471,503,615,396,518,070,
195,229,929,659,442,097,689,478,920,175,287,972,645,910,925,013,158,967,178,
364,682,628,358,033,264,923,975,977,413,100,765,232,164,357,351,080,179,676,
461,338,802,673,031,403,785,235,928,607,667,144,528,418,218,366,813,553,792,
926,329,884,477,297,734,944,470,251,458,138,044,390,542,283,878,650,168,075,
375,288,912,396,868,079,897,090,158,368,027,512,471,196,239,523,903,355,906,
990,442,077,900,032,411,553,496,755,945,959,850,940,425,498,259,617,594,103,
180,022,789,908,912,943,505,029,348,104,620,295,533,429,518,316,231,175,498,
715,881,394,816,981,149,383,381,640,288,143,153,155,760,085,828,435,710,799,
848,254,614,547,929,202,497,403,414,553,069,853,665,638,685,357,299,907,098,
561,692,208,852,883,836,340,972,005,033,752,896,227,831,293,437,053,034,440,
961,897,331,017,708,955,241,122,862,172,031,185,797,364,172,716,255,601,717,
110,758,045,680,624,500,521,032,320,787,754,640,952,098,887,212,224,094,516,
181,746,568,660,570,358,666,642,243,552,032,470,672,258,185,905,664,801,172,
787,582,577,747,383,546,963,879,413,147,891,018,897,705,144,447,872,074,636,
676,997,594,144,850,838,978,361,427,225,689,168,400,182,577,239,486,469,209,
640,321,675,050,766,022,026,448,192,008,699,060,548,670,218,789,827,848,188,
205,270,634,319,515,660,543,839,957,979,211,133,582,702,881,155,006,471,451,
783,722,241,134,027,795,221,468,203,038,473,067,301,478,544,198,457,931,282,
189,541,253,468,602,584,292,443,673,408,496,158,697,443,644,129,702,449,217,
819,637,083,425,731,440,637,348,689,724,823,368,068,219,440,883,670,497,515,
326,318,574,375,993,200,619,218,276,107,429,704,718,276,071,116,555,834,844,
967,425,072,013,878,337,674,031,208,973,823,161,519,055,459,316,861,187,393,
502,019,659,093,741,564,035,570,280,353,609,876,061,111,208,555,819,181,163,
321,001,780,881,521,082,286,256,739,262,793,220,297,654,389,691,113,339,446,
669,001,848,725,378,671,774,028,654,784,951,106,362,424,150,606,127,110,389,
092,532,200,116,976,707,577,645,295,496,704,585,110,082,578,632,632,382,179,
144,159,922,797,102,257,845,416,386,117,092,661,625,600,975,437,278,913,339,
862,404,303,173,340,329,302,347,161,043,134,237,747,728,088,684,614,568,133,
464,193,857,769,618,228,546,130,351,281,799,570,164,409,878,579,435,389,171,
657,036,116,465,630,481,442,506,369,574,911,935,245,069,413,477,344,917,996,
243,478,556,124,997,027,371,366,584,460,696,232,115,602,091,192,006,517,717,
827,647,713,849,878,150,460,975,226,352,503,038,471,790,215,260,824,347,023,
344,600,605,243,227,442,315,802,565,905,888,023,160,559,031,213,499,053,571,
283,990,001,556,312,855,952,121,181,641,563,943,950,908,950,509,152,648,886,
366,234,009,819,270,075,602,999,546,961,176,982,574,140,288,333,899,831,237,
528,212,904,800,700,868,281,247,377,701,766,520,224,027,026,982,795,786,025,
842,369,788,725,222,166,006,013,815,678,768,037,687,253,520,950,936,657,782,
998,232,108,510,277,840,357,501,907,181,042,887,593,480,484,436,737,628,893,
385,259,822,415,658,126,973,163,878,383,590,693,321,732,961,720,230,738,578,
179,349,270,142,887,224,840,175,067,160,014,737,873,315,628,715,270,734,104,
844,360,099,016,472,559,156,916,302,813,642,427,735,924,190,582,976,526,797,
169,446,494,153,184,371,978,923,692,557,634,409,425,815,078,644,116,094,408,
333,528,814,002,405,234,099,733,125,745,725,527,285,189,131,766,020,185,669,
089,154,353,236,278,658,456,400,870,760,943,507,786,484,128,777,828,885,309,
133,378,937,673,602,897,976,170,759,555,011,351,893,558,525,735,235,965,052,
862,547,611,088,290,149,441,518,053,052,081,048,539,895,408,546,999,069,911,
593,459,250,358,586,926,682,844,486,927,442,526,991,082,248,163,062,871,137,
829,562,257,604,660,343,270,522,212,033,765,613,196,461,046,968,743,792,818,
162,314,570,121,693,832,541,126,615,267,275,610,985,827,179,402,685,467,488,
168,380,262,240,361,356,853,254,003,883,028,049,489,523,675,535,250,419,130,
883,696,408,270,733,669,527,647,138,557,116,165,859,743,108,395,804,798,808,
581,518,887,958,624,238,911,911,741,674,275,999,894,891,015,250,548,957,179,
256,064,789,227,005,214,365,818,348,240,244,136,598,044,620,268,865,187,828,
439,071,370,845,868,128,726,737,512,595,883,839,509,690,465,101,421,245,394,
435,626,420,723,158,740,004,286,001,508,541,038,470,002,629,325,325,143,430,
231,770,696,987,221,439,480,373,189,987,747,140,702,544,133,302,216,273,564,
139,093,188,979,546,421,861,623,740,351,373,806,328,657,057,982,454,232,067,
266,810,462,331,180,919,964,353,841,962,646,832,857,693,839,645,816,838,752,
245,462,018,530,441,167,510,262,198,896,901,409,628,141,569,716,835,979,845,
729,434,457,373,092,604,765,740,413,981,054,827,620,166,654,792,257,215,954,
649,938,454,662,485,659,980,396,196,575,798,975,686,872,860,176,979,435,785,
373,205,965,441,578,155,437,752,169,458,054,924,971,823,838,263,879,611,333,
664,627,956,926,308,683,732,025,281,492,014,587,844,436,987,558,768,617,375,
374,709,196,700,747,241,693,964,054,750,591,419,730,489,434,780,360,182,788,
613,466,951,078,804,641,396,838,679,827,124,032,517,631,646,091,966,433,016,
874,186,649,152,759,212,230,936,878,671,970,163,221,686,762,522,267,040,366,
003,126,386,434,276,644,434,157,654,258,024,538,068,826,390,993,258,821,048,
697,982,392,821,864,861,624,621,575,571,478,367,016,736,615,129,192,200,296,
590,874,223,171,368,040,280,178,792,362,442,201,225,639,077,133,280,415,807,
130,191,244,359,150,312,445,328,422,110,419,505,456,105,613,970,953,464,904,
050,073,625,798,272,345,209,010,236,000,461,164,968,860,068,681,639,199,368,
697,360,365,248,765,567,780,055,902,250,427,423,829,308,351,522,384,492,198,
755,037,201,547,713,515,361,570,059,076,444,128,014,373,337,129,995,194,881,
312,769,978,226,330,723,542,274,774,037,142,196,073,255,686,918,216,679,101,
191,299,870,507,033,092,666,425,078,648,678,993,837,957,016,560,677,434,141,
555,175,930,147,737,212,764,488,283,593,178,719,448,831,237,316,301,763,128,
431,600,733,816,244,677,605,082,734,896,634,513,238,278,226,000,863,599,482,
939,588,561,093,073,340,785,203,428,357,647,264,557,484,926,795,351,612,404,
896,367,605,655,276,179,164,600,347,643,396,078,438,135,512,424,766,617,017,
646,346,042,906,273,887,723,289,327,300,050,114,996,146,843,129,135,462,145,
167,519,602,657,621,703,327,412,253,322,414,964,296,371,398,713,135,596,001,
832,024,002,433,393,917,728,022,823,012,290,852,493,632,097,070,200,286,958,
078,644,515,223,288,314,783,001,408,156,724,863,244,207,539,671,497,506,666,
268,008,807,669,099,875,909,081,457,721,831,318,949,522,994,049,432,604,395,
477,259,793,718,066,653,606,080,017,030,306,312,762,443,738,336,247,879,444,
003,987,562,571,718,760,922,513,804,438,258,646,914,658,905,745,886,638,202,
781,895,278,187,032,857,929,575,230,996,612,166,048,714,172,915,305,253,996,
288,062,812,123,320,025,717,737,737,874,213,254,862,807,536,720,120,145,116,
238,913,689,284,022,574,415,597,752,540,955,768,864,628,744,876,690,535,122,
318,812,218,235,683,650,803,924,310,303,959,589,078,021,409,356,566,747,682,
388,341,335,041,373,649,040,677,966,959,736,202,268,518,234,078,072,326,842,
476,168,453,515,983,505,024,256,515,959,852,378,100,923,645,214,513,522,213,
486,100,216,163,308,367,357,033,812,846,046,605,682,344,158,582,360,822,094,
996,466,515,110,655,081,076,253,588,359,219,314,154,797,533,298,887,510,033,
763,781,902,060,182,851,708,528,474,992,286,354,404,683,601,466,570,174,557,
515,632,914,679,089,358,821,139,831,665,884,235,106,683,599,844,847,637,940,
882,246,612,037,812,293,235,823,571,920,370,440,334,346,293,841,804,739,866,
606,506,879,204,531,965,458,477,856,564,129,110,830,248,424,445,209,426,008,
615,983,965,870,281,141,744,300,296,125,933,944,070,676,091,403,770,693,447,
911,665,582,156,035,294,528,586,703,828,494,230,154,084,969,599,214,782,179,
085,225,311,443,071,139,027,325,915,398,786,514,128,441,909,913,814,207,554,
973,558,892,409,837,673,973,327,868,049,239,131,247,857,413,765,113,688,731,
818,548,671,122,369,018,529,130,855,500,533,362,058,321,392,849,204,245,818,
242,183,259,794,605,811,169,502,178,011,746,478,900,502,731,898,865,401,844,
081,055,119,160,843,940,613,497,208,172,252,801,197,127,564,324,360,063,344,
568,347,654,581,935,243,550,673,253,486,151,093,202,477,942,483,892,244,436,
700,406,282,058,409,147,514,726,435,034,846,743,967,432,547,419,640,919,055,
318,815,915,243,771,794,951,210,433,928,898,039,311,615,824,876,619,153,119,
411,054,006,794,043,712,813,178,948,354,539,968,048,475,438,143,627,299,367,
210,739,156,268,146,892,555,980,010,001,015,854,099,198,309,757,118,339,654,
196,898,595,252,901,522,441,371,124,521,098,759,816,276,398,190,379,376,278,
646,385,980,032,893,093,978,918,395,868,272,605,180,465,536,967,382,429,647,
551,321,436,666,801,064,693,239,450,294,270,366,793,937,079,924,853,699,592,
806,082,972,514,976,549,861,935,919,394,566,315,385,874,373,527,692,217,408,
632,857,181,032,935,467,996,911,020,736,759,482,679,139,892,382,591,233,767,
298,302,965,694,371,074,688,998,125,697,594,910,199,099,911,139,845,354,547,
755,106,436,662,884,851,040,396,564,785,579,709,612,652,359,180,449,034,770,
680,840,802,380,007,323,122,847,370,233,969,074,491,774,061,831,458,195,643,
179,748,385,252,207,518,325,739,164,546,724,977,356,168,099,316,095,986,969,
666,432,790,308,648,221,050,813,309,594,136,511,830,450,739,609,616,284,045,
370,981,472,825,142,355,474,799,313,811,169,026,018,324,257,476,834,810,669,
502,318,825,049,613,601,190,354,890,113,968,811,189,273,572,581,602,443,614,
996,520,379,687,708,236,966,066,483,766,645,080,569,221,721,097,893,899,031,
627,911,076,833,961,090,060,985,843,385,301,717,657,942,474,331,123,000,473,
755,155,718,512,690,925,114,177,038,642,107,023,683,450,672,255,426,836,508,
863,668,597,612,009,902,429,924,840,482,477,848,283,545,032,175,849,195,684,
777,892,972,981,090,298,284,496,020,105,926,541,334,315,065,572,379,787,942,
052,458,858,846,647,603,115,419,463,716,169,993,801,104,335,079,934,316,446,
541,084,478,210,922,677,663,156,797,965,880,187,450,302,608,709,135,539,455,
577,241,391,554,719,407,784,083,318,282,889,005,754,132,391,905,281,710,064,
854,718,901,970,583,688,495,131,938,889,845,346,122,020,173,588,310,811,669,
775,148,673,357,659,473,071,631,466,192,915,400,185,770,064,160,641,078,026,
661,485,732,411,753,237,092,710,838,579,904,273,495,861,547,477,149,064,989,
630,895,495,206,526,801,831,872,270,844,472,325,904,939,126,416,069,261,953,
287,801,350,616,866,194,772,808,977,686,945,224,254,395,147,887,226,013,714,
511,353,166,372,596,733,909,932,171,175,104,185,145,111,355,954,490,001,741,
073,120,376,492,145,273,810,162,730,670,881,939,667,643,778,936,964,337,047,
291,873,328,603,767,197,340,605,275,503,616,745,440,807,156,119,386,882,267,
669,760,855,827,233,451,812,701,198,750,942,555,536,511,615,171,422,473,602,
323,564,881,240,546,174,825,117,350,752,003,448,918,477,471,783,225,836,015,
169,231,596,555,283,650,828,437,626,233,656,242,201,543,022,008,748,313,130,
687,212,849,514,192,130,196,519,820,249,950,346,765,969,668,242,606,218,504,
600,121,839,649,127,087,373,123,526,798,985,867,267,959,850,981,314,670,974,
799,853,722,148,033,588,606,063,882,231,854,738,002,649,239,335,932,244,149,
926,682,102,354,671,870,854,502,012,748,358,208,722,755,044,733,767,387,319,
900,392,154,512,961,123,288,779,829,117,431,940,936,796,169,022,068,109,432,
891,085,955,660,689,339,139,277,522,413,919,034,843,051,559,668,152,990,166,
031,311,857,844,183,045,095,334,975,898,984,436,598,101,910,572,578,616,794,
969,479,483,103,246,321,610,433,657,532,415,931,337,345,884,939,920,799,825,
382,933,461,977,001,711,511,982,161,771,571,644,715,526,150,890,676,590,135,
059,080,126,592,430,435,946,686,664,293,519,788,140,542,871,646,487,979,307,
069,799,077,118,409,957,077,167,952,219,838,749,239,166,555,748,360,739,218,
462,602,557,496,026,893,727,905,079,595,646,425,350,470,118,497,346,943,403,
074,768,889,127,245,722,250,818,029,489,743,843,906,901,760,252,386,951,260,
939,205,183,344,929,800,080,865,066,866,254,611,833,413,396,887,026,887,615,
806,530,484,443,203,502,905,316,402,012,029,679,432,849,331,589,653,198,301,
068,943,231,414,181,125,706,179,245,087,951,850,611,293,767,470,158,420,141,
421,735,390,553,186,053,632,190,235,782,323,807,159,651,366,635,058,596,180,
972,398,814,728,915,715,972,093,851,597,445,873,065,080,101,351,503,271,270,
344,505,713,301,707,635,265,029,375,255,725,443,977,699,509,805,916,314,087,
094,726,273,607,028,308,346,188,598,311,598,985,706,195,324,712,148,202,805,
553,043,864,959,993,921,753,958,345,469,846,660,060,445,653,643,868,109,675,
566,844,528,461,811,622,569,837,510,989,523,245,080,830,745,893,033,597,032,
491,541,342,298,686,036,959,823,642,609,171,316,018,409,816,763,270,303,879,
440,476,096,593,573,086,946,345,559,010,432,226,902,325,055,988,544,541,364,
998,382,550,121,653,259,587,960,093,338,244,006,583,539,691,470,825,056,545,
244,056,983,566,356,737,549,436,005,327,204,227,563,322,053,710,084,647,574,
743,444,286,101,005,608,193,653,785,969,246,576,297,440,049,141,873,561,893,
847,378,277,534,462,566,839,009,096,792,722,438,188,657,547,122,698,817,748,
437,283,582,039,540,130,366,815,392,817,447,226,026,621,967,238,035,701,153,
216,045,649,803,938,076,421,437,008,273,223,770,887,262,285,566,113,481,619,
771,780,399,408,987,467,557,882,798,650,190,968,628,651,849,058,593,555,140,
866,048,338,497,853,312,360,730,364,058,419,915,124,241,869,667,860,470,237,
622,774,301,997,192,033,616,172,020,694,034,162,486,998,231,648,142,932,282,
996,665,720,075,104,365,402,908,154,368,778,063,223,465,344,039,601,416,536,
926,911,613,156,158,197,301,961,892,485,801,342,020,261,506,421,030,382,797,
948,046,575,033,347,992,330,547,183,723,090,597,291,332,636,169,405,574,773,
336,658,353,043,740,274,329,940,818,605,988,326,228,091,917,574,171,430,423,
130,859,710,168,767,154,804,809,444,670,372,164,479,634,932,819,161,461,830,
316,275,975,983,889,560,461,224,212,726,284,482,083,032,117,687,997,682,577,
049,056,698,528,533,384,307,221,597,259,489,973,051,416,524,833,451,136,581,
004,514,530,556,156,850,117,738,282,558,890,163,219,770,057,715,447,215,317,
137,257,306,073,268,434,383,642,512,982,439,243,568,699,552,591,140,802,952,
472,943,506,743,080,633,123,963,232,897,951,052,832,709,781,643,412,378,698,
286,980,385,610,276,772,701,020,624,463,838,813,566,017,546,142,750,372,401,
087,538,575,994,281,811,036,498,223,527,135,724,250,160,700,674,792,092,947,
271,218,682,377,001,482,070,518,538,674,601,918,205,053,960,319,967,825,118,
749,155,581,758,245,962,029,416,040,444,950,127,697,395,366,456,765,790,254,
250,816,081,513,337,770,881,365,033,311,211,258,361,647,917,415,466,955,927,
430,986,248,822,960,004,094,631,385,080,190,156,445,831,211,042,230,341,130,
431,069,482,262,321,252,844,943,256,719,694,319,403,016,346,715,847,458,728,
241,218,641,042,355,229,939,986,965,188,563,141,622,209,880,079,886,951,680,
401,768,121,784,486,027,008,776,932,658,498,215,229,846,309,281,362,597,251,
462,949,579,850,628,124,269,134,310,225,549,243,227,221,806,825,420,135,513,
156,067,693,386,617,350,888,495,467,477,016,754,130,265,355,531,728,828,312,
530,071,991,836,279,599,705,174,744,830,086,397,701,888,380,285,636,176,939,
449,935,497,430,314,798,914,132,422,105,938,551,315,986,582,352,089,547,837,
788,205,145,408,866,338,254,136,795,727,430,787,393,359,010,442,768,800,938,
164,832,619,245,272,692,227,991,514,149,616,522,006,321,114,913,483,632,109,
372,194,473,753,681,316,662,587,479,666,488,108,468,491,687,380,522,448,004,
286,587,937,558,815,628,618,416,717,313,790,607,706,336,635,845,659,767,354,
251,833,076,630,335,799,595,965,649,986,562,450,941,079,707,755,396,883,855,
402,753,623,279,686,226,368,032,360,013,411,442,821,939,899,781,356,402,878,
103,263,555,125,008,096,467,193,249,679,509,206,256,919,489,340,484,893,375,
647,891,727,196,248,469,427,389,302,856,237,040,628,103,542,220,490,559,451,
584,977,489,420,887,941,818,098,586,895,260,729,532,082,347,102,558,562,873,
975,521,347,461,005,280,806,779,485,718,339,348,095,046,575,943,699,543,719,
596,146,098,217,487,521,274,269,890,129,699,629,605,012,105,483,460,857,139,
638,957,415,860,550,768,132,778,883,767,521,867,994,243,783,886,738,047,285,
810,574,582,619,752,657,035,523,290,719,294,254,319,470,348,354,085,354,276,
328,873,890,181,313,255,194,544,236,937,654,048,228,788,031,529,383,819,522,
919,176,739,109,191,878,899,997,330,618,111,191,937,515,476,652,665,490,144,
860,329,921,603,670,532,776,182,293,366,789,042,623,542,105,179,169,945,157,
726,485,650,622,308,027,836,509,622,032,465,494,550,305,714,195,332,289,285,
247,891,076,410,217,184,532,880,304,817,672,183,520,395,894,397,617,056,401,
174,123,896,591,158,534,168,866,718,364,658,452,948,888,043,189,669,064,030,
215,557,063,721,093,805,204,017,651,805,950,220,667,027,379,161,064,281,575,
633,610,766,173,876,185,231,492,607,243,846,048,980,174,296,541,827,719,718,
527,171,994,755,942,367,590,702,917,412,317,718,928,372,851,544,741,986,948,
152,409,161,817,931,392,461,219,098,300,114,710,783,338,049,437,472,373,448,
509,942,960,739,611,688,482,764,241,199,694,159,774,502,053,039,510,261,918,
017,318,745,357,986,028,864,485,973,292,525,660,580,914,145,600,987,459,229,
968,463,993,551,610,129,399,183,212,043,799,338,620,488,799,758,619,702,476,
228,658,210,650,525,818,483,414,820,478,641,846,246,824,388,578,741,421,065,
548,803,402,951,246,495,751,770,846,044,202,372,528,252,636,327,584,780,488,
932,114,069,045,060,419,991,081,964,998,195,897,845,524,022,437,429,601,777,
419,405,890,165,010,615,025,523,887,761,249,540,321,879,223,223,932,128,113,
427,751,496,295,828,451,521,629,517,420,755,734,143,176,558,591,578,156,282,
658,063,956,955,118,699,039,723,463,497,974,542,787,363,954,129,632,004,929,
266,452,708,601,641,626,896,341,306,526,454,615,828,251,070,858,754,776,549,
048,453,494,622,237,111,606,712,708,296,460,001,657,133,489,864,376,547,801,
105,067,163,683,177,494,525,032,970,061,088,107,042,589,849,725,928,910,832,
669,368,050,179,104,827,546,457,806,182,847,827,874,300,045,725,996,058,327,
768,432,247,218,590,277,466,188,278,706,609,038,360,928,760,203,449,171,519,
193,286,266,719,433,279,541,635,621,117,557,008,931,528,352,644,857,629,910,
441,798,849,083,563,979,116,768,585,393,169,261,235,630,221,804,616,998,258,
512,905,833,568,231,552,000,401,872,350,438,341,400,925,682,985,728,768,591,
770,386,910,778,357,638,776,011,357,763,171,182,142,406,165,107,578,388,113,
354,771,064,907,708,759,981,683,299,475,238,362,185,408,189,092,406,985,523,
095,495,315,428,898,137,053,220,076,125,958,478,612,163,587,696,064,849,321,
395,134,045,122,889,625,840,978,310,585,107,843,306,058,765,793,431,327,531,
255,089,085,310,738,270,369,341,700,010,548,013,227,458,594,552,593,761,108,
435,775,221,932,232,779,747,593,767,227,625,161,639,130,812,970,555,292,665,
736,576,266,842,157,388,162,334,042,061,905,989,776,003,728,827,756,131,988,
508,762,674,172,237,297,491,521,708,848,825,326,394,263,926,350,144,174,506,
509,760,637,264,503,460,791,359,295,516,742,470,662,441,184,893,416,554,712,
376,415,492,955,780,669,804,011,662,041,715,650,960,852,183,037,297,140,592,
380,629,570,244,441,832,841,551,004,888,242,776,286,561,872,938,693,872,181,
056,292,519,812,070,343,670,888,183,908,794,583,837,653,947,384,421,466,393,
097,429,385,964,449,735,780,960,146,278,956,790,550,842,687,376,316,520,373,
109,715,905,395,524,434,878,247,016,677,962,380,967,497,216,369,198,255,922,
265,351,547,408,718,783,762,152,754,126,640,825,587,705,593,011,771,232,050,
143,444,787,852,146,820,063,000,194,111,411,830,759,256,854,561,936,560,366,
498,191,098,168,196,807,116,994,371,922,092,731,363,809,730,303,427,409,356,
435,561,845,779,624,869,451,702,982,026,498,832,931,448,226,996,751,038,220,
003,740,947,320,773,782,861,393,636,765,663,290,479,980,960,812,989,182,985,
144,646,836,610,462,918,317,068,417,420,276,053,553,265,079,871,833,869,415,
204,452,683,635,065,825,318,209,588,828,776,957,932,314,890,441,986,483,864,
247,458,567,788,666,579,560,677,486,840,955,716,523,284,108,454,345,638,213,
761,002,252,379,622,281,735,819,864,865,685,652,731,206,133,027,604,483,001,
333,065,344,752,901,278,173,550,091,260,718,584,512,749,449,212,660,994,363,
710,820,273,837,970,194,517,194,479,704,788,979,770,120,214,891,918,222,952,
527,965,731,460,637,052,214,689,392,048,002,467,012,698,123,268,507,101,983,
642,419,922,381,639,175,775,071,384,710,041,361,386,843,094,530,686,136,821,
961,439,008,924,695,187,301,510,031,740,256,715,091,194,476,699,074,942,185,
526,991,948,888,395,376,022,394,976,757,416,712,033,355,268,285,030,776,374,
297,400,718,074,666,097,010,881,345,797,743,646,757,823,809,137,074,565,763,
054,992,284,919,684,247,205,537,542,976,132,018,391,384,315,990,531,595,129,
337,742,231,211,146,630,161,791,838,441,351,372,012,813,528,102,752,337,346,
693,309,837,298,070,768,517,376,651,547,305,604,594,080,795,585,477,590,458,
799,843,777,301,203,698,701,186,714,531,659,574,124,976,878,738,809,614,310,
673,601,297,095,810,845,234,877,069,027,513,543,369,525,707,195,330,664,956,
273,399,283,551,603,899,769,184,038,799,399,511,076,086,077,642,799,171,577,
394,160,365,547,743,362,136,950,393,094,130,400,177,398,653,323,804,992,922,
652,828,969,746,731,883,921,173,761,493,269,841,151,928,277,286,472,727,082,
189,914,366,056,749,037,242,972,091,500,232,272,595,004,362,090,285,162,511,
686,413,503,970,078,826,195,471,429,711,341,813,158,700,920,527,206,479,043,
474,710,955,183,429,680,432,497,276,450,319,247,168,524,518,981,990,473,780,
910,396,594,862,938,982,231,595,224,470,457,449,341,292,823,339,063,390,141,
818,481,884,316,741,595,750,444,841,966,638,395,468,348,966,476,991,226,279,
949,070,209,276,365,223,333,379,092,984,642,643,360,568,111,834,554,348,276,
166,087,239,832,764,644,705,502,687,867,882,973,990,460,852,645,349,841,146,
251,494,972,114,957,946,176,135,593,382,231,225,395,774,163,971,954,865,329,
725,002,142,161,822,788,749,377,403,067,599,509,269,590,688,919,683,717,905,
606,874,527,060,816,109,005,343,154,178,821,501,688,942,287,802,233,611,550,
058,176,663,939,476,913,997,833,128,521,206,161,372,455,200,848,029,204,332,
412,188,059,854,741,536,498,900,617,790,999,624,941,260,100,876,399,701,066,
794,090,044,676,563,991,443,973,726,640,816,641,320,440,546,945,056,421,428,
706,832,853,269,249,671,255,443,339,259,620,613,446,695,292,841,948,947,563,
962,526,988,273,950,166,553,258,132,112,130,698,098,516,494,289,824,382,119,
048,006,989,095,011,947,352,045,612,901,489,322,782,132,641,144,068,398,604,
277,096,889,137,007,648,433,730,894,310,617,231,318,778,712,465,145,267,491,
269,717,794,527,922,858,480,353,528,027,744,761,116,689,558,799,336,299,487,
441,321,525,669,892,176,390,349,142,489,738,940,185,414,935,467,951,293,234,
254,240,976,442,103,319,574,056,986,513,839,798,052,934,656,117,008,836,392,
813,325,195,444,843,303,586,687,538,925,006,415,361,501,225,772,710,906,678,
713,959,362,146,275,672,362,820,673,752,749,540,160,718,016,909,182,299,691,
216,377,779,869,167,985,597,674,609,379,699,159,585,279,542,700,023,915,443,
451,594,555,397,973,425,336,204,555,743,684,908,527,569,872,319,426,987,735,
569,628,794,961,250,359,412,954,227,123,194,909,993,623,981,457,716,392,418,
311,450,984,870,202,708,879,516,042,105,509,198,384,433,303,955,922,286,041,
848,393,131,174,192,029,239,717,183,536,668,431,921,932,882,263,196,306,489,
058,873,134,064,196,045,168,101,783,795,344,150,101,975,609,544,321,322,157,
742,055,719,753,607,901,808,651,810,395,353,517,527,717,783,216,207,377,703,
409,444,618,176,595,226,580,699,625,895,280,662,604,403,494,753,372,948,869,
170,934,013,923,853,013,265,277,936,879,502,751,129,353,505,321,631,886,190,
173,765,122,764,725,788,214,715,122,152,985,358,010,361,389,360,532,266,245,
102,003,159,618,285,070,379,010,099,559,626,977,208,982,998,988,352,366,500,
956,680,516,210,726,759,473,737,065,905,962,917,974,148,218,341,078,880,226,
259,565,109,232,319,298,777,091,702,822,744,427,533,112,258,901,537,635,908,
856,904,751,511,625,584,526,627,601,764,060,384,436,381,586,198,318,782,314,
764,844,012,363,493,297,197,024,031,262,472,341,595,218,443,341,532,142,631,
309,888,985,768,445,850,783,840,909,539,474,478,155,813,034,035,551,282,419,
489,562,888,914,665,671,029,722,598,228,228,049,380,668,248,440,795,319,300,
272,285,903,814,293,000,724,546,525,078,263,725,159,062,568,497,160,041,194,
575,246,499,551,613,936,259,836,723,776,444,447,878,081,885,927,081,985,305,
446,956,992,929,486,557,074,745,312,776,226,081,163,092,522,455,991,974,890,
487,737,725,270,701,659,948,015,297,381,356,737,743,190,375,158,616,257,348,
958,012,261,380,073,338,026,440,117,351,121,020,206,429,211,907,177,461,920,
666,421,870,919,899,496,723,825,229,419,980,488,120,483,616,826,460,809,935,
753,794,297,006,911,087,958,704,837,895,875,954,615,429,919,463,450,460,294,
429,331,453,345,847,745,248,941,119,854,849,929,863,206,125,848,131,822,847,
245,725,701,556,754,544,920,822,755,388,986,505,046,930,042,254,348,930,601,
376,140,843,054,336,401,922,298,614,783,707,952,518,659,958,155,150,514,925,
347,831,435,246,381,955,826,216,439,377,349,617,677,872,249,757,195,279,660,
185,616,210,785,556,348,490,726,232,072,366,145,769,206,045,308,785,174,417,
015,027,508,310,500,086,359,067,817,973,769,354,054,491,832,104,408,647,444,
807,122,905,334,270,414,088,890,892,935,690,398,472,248,361,635,798,982,499,
822,115,234,915,474,456,658,808,994,666,205,428,627,380,405,281,856,904,827,
888,764,252,634,632,450,747,904,706,989,141,445,404,975,153,158,999,010,029,
324,860,655,770,636,169,655,165,643,554,206,637,214,970,943,048,282,530,357,
379,195,819,960,376,171,508,251,227,139,511,855,223,151,723,318,749,336,371,
699,142,969,940,530,134,758,694,313,560,964,594,418,462,072,689,720,343,161,
407,656,819,671,106,171,462,769,442,052,840,172,086,583,018,376,740,193,531,
701,082,140,535,458,978,895,203,655,718,475,707,874,664,950,776,983,983,304,
026,973,471,707,707,970,810,214,742,510,452,010,834,435,545,105,077,778,351,
040,327,945,026,125,592,994,390,061,901,575,250,072,066,656,505,067,109,937,
172,720,245,442,661,963,256,979,781,786,294,403,708,302,918,759,903,116,593,
953,863,358,376,844,582,480,613,274,436,297,081,044,998,300,838,811,499,419,
370,478,750,115,175,673,478,661,770,865,917,421,048,937,148,965,236,556,051,
388,719,988,587,334,700,217,414,198,401,043,112,491,518,596,537,093,438,361,
385,707,138,263,383,859,712,640,627,842,102,070,490,722,167,503,129,693,839,
673,712,040,124,418,585,020,897,489,829,931,681,687,520,389,073,531,584,843,
159,077,540,598,666,189,246,541,067,725,097,367,669,283,519,642,432,428,507,
858,943,154,052,680,995,042,392,569,222,331,611,440,646,107,641,696,397,178,
155,293,411,345,700,515,475,189,902,400,142,546,945,619,553,415,324,695,467,
805,809,404,294,890,179,799,027,692,451,941,201,810,250,645,296,101,306,674,
256,676,757,982,046,166,348,277,326,789,024,048,551,873,055,239,497,965,487,
668,590,936,818,927,221,337,245,223,751,958,218,414,029,810,497,332,614,977,
193,029,914,330,279,259,689,011,955,822,853,550,622,424,861,473,087,728,419,
704,003,470,879,126,959,709,889,243,218,678,977,965,288,005,408,185,315,966,
811,752,262,325,636,915,647,988,814,462,982,443,560,251,056,911,317,884,322,
628,887,420,834,063,617,434,490,239,728,282,447,284,589,197,168,262,031,851,
402,262,878,081,843,969,362,858,878,576,996,802,926,676,067,875,548,946,203,
105,986,823,825,803,864,413,319,608,718,887,727,747,909,886,694,968,264,267,
724,655,811,318,964,601,621,091,192,270,562,806,205,592,018,134,563,910,029,
338,491,456,000,515,772,982,830,143,786,504,724,084,258,435,227,028,988,554,
558,586,267,238,382,325,002,483,901,856,873,549,967,660,023,795,449,432,655,
342,367,463,443,773,074,916,955,958,480,125,799,504,650,442,918,507,265,602,
450,806,469,627,522,060,621,961,262,788,678,960,454,351,224,795,331,627,522,
957,691,476,491,117,280,048,775,512,423,359,674,790,319,246,205,404,469,076,
229,085,672,055,788,263,035,288,652,533,983,897,656,674,515,769,167,179,627,
623,610,710,443,767,783,681,497,395,219,519,013,583,147,814,526,761,767,818,
968,012,175,801,324,854,195,129,421,246,981,722,985,902,600,876,907,522,725,
026,056,153,134,618,158,737,111,107,137,695,591,755,235,078,408,546,510,758,
788,263,491,350,150,342,763,999,454,793,541,925,296,371,315,245,582,909,188,
278,168,066,802,768,457,009,589,777,934,836,724,637,633,164,468,273,641,372,
292,949,714,829,141,437,420,850,903,505,333,070,548,259,177,968,702,989,078,
717,055,069,493,849,399,688,306,562,033,445,555,682,163,308,259,944,406,989,
285,023,505,699,806,702,292,502,930,527,773,924,750,261,043,982,198,165,991,
206,714,319,716,923,574,622,005,022,749,302,277,688,496,547,006,437,443,662,
823,279,195,416,013,902,576,991,302,805,974,083,534,846,997,776,553,830,524,
998,482,111,345,564,496,402,457,425,851,916,481,235,436,493,602,824,966,230,
450,359,967,554,974,916,328,430,921,467,332,243,225,648,340,550,416,702,603,
742,799,481,128,713,949,611,865,548,251,739,021,224,755,574,588,781,547,891,
203,867,975,144,224,658,239,476,163,618,188,057,786,590,537,110,986,713,449,
530,484,032,129,467,976,155,484,029,780,095,824,731,323,390,609,630,494,022,
692,288,327,009,022,593,408,460,268,527,887,339,293,664,083,955,499,038,466,
350,069,749,975,773,921,390,799,487,176,628,882,811,810,859,638,248,168,155,
061,631,621,286,257,896,062,716,873,471,655,319,229,062,940,897,193,224,217,
337,244,807,377,459,160,818,781,915,263,323,476,670,353,023,044,703,205,084,
209,805,230,236,683,906,323,658,895,590,383,270,028,104,768,508,047,814,421,
898,021,732,559,531,407,993,946,466,186,678,361,102,668,630,324,780,547,266,
779,462,162,228,902,639,051,253,503,052,946,873,875,159,534,044,226,368,498,
432,513,760,419,039,115,683,939,050,071,802,381,447,403,685,767,285,396,309,
322,517,967,476,960,420,817,364,041,952,500,526,043,378,068,942,190,244,158,
007,332,019,280,557,708,097,504,231,273,773,327,173,551,197,890,728,684,762,
879,228,788,011,641,101,726,941,089,779,453,077,237,333,648,136,936,350,420,
069,189,956,396,956,860,774,672,782,548,372,510,977,343,157,156,103,883,741,
223,472,206,261,742,550,593,622,373,828,172,671,179,465,471,083,256,444,557,
251,569,747,963,718,715,444,327,458,920,503,174,229,816,493,365,931,650,023,
886,841,065,324,425,503,310,788,349,688,035,022,254,248,600,755,778,848,913,
758,313,530,873,616,021,429,696,659,952,910,179,832,989,970,736,107,926,424,
641,183,815,859,082,497,923,183,103,868,166,083,961,939,676,989,598,226,321,
857,531,549,699,577,448,216,009,272,430,643,326,699,569,705,652,969,275,930,
971,592,237,840,934,165,136,902,415,968,262,350,842,491,684,030,703,056,736,
010,997,253,681,726,274,765,686,660,425,830,172,333,791,256,600,821,718,269,
079,497,252,125,965,309,734,140,241,576,195,139,475,331,114,944,933,251,951,
468,088,512,913,279,043,302,144,726,476,991,934,031,308,855,340,064,614,588,
756,330,124,098,197,980,445,362,633,571,947,865,178,068,681,422,683,140,329,
908,928,594,118,077,093,739,986,298,640,578,028,848,350,608,598,818,307,022,
669,748,937,409,716,900,247,838,403,563,030,153,939,554,937,110,702,153,560,
206,676,553,956,147,125,717,269,426,907,562,149,507,884,669,249,549,865,721,
316,921,819,073,661,574,524,775,952,322,308,329,484,839,659,385,695,861,390,
415,640,851,182,020,032,194,994,809,316,072,175,940,458,151,715,256,391,974,
071,859,959,383,487,653,925,578,511,865,246,494,075,931,947,173,310,390,135,
264,801,292,506,870,015,615,428,377,465,822,148,429,082,292,340,081,168,308,
880,752,769,782,505,199,766,505,056,758,440,881,643,166,439,102,838,019,397,
764,696,316,104,488,546,081,000,571,393,992,494,311,469,142,938,738,066,834,
611,744,580,391,475,709,431,260,035,858,856,438,421,016,772,685,314,489,957,
840,064,787,025,239,096,740,565,383,446,660,944,505,723,909,503,161,032,606,
657,124,801,713,017,489,098,695,196,753,485,587,438,450,391,342,988,343,275,
720,057,200,481,749,058,659,419,087,471,187,094,535,715,885,349,334,493,695,
273,571,606,907,203,301,478,852,569,765,707,521,279,060,608,567,675,470,248,
758,405,145,158,896,516,484,993,377,245,447,250,279,218,257,061,263,517,162,
111,969,560,958,770,278,798,528,782,793,320,588,275,439,658,959,563,010,771,
692,525,957,957,633,520,463,583,301,303,937,126,022,085,437,234,046,911,506,
508,832,172,927,077,059,405,638,945,527,118,987,912,550,675,873,499,144,002,
340,185,484,742,440,924,791,983,098,406,342,377,999,389,748,331,325,299,153,
490,487,860,421,579,440,516,480,663,785,159,538,373,092,173,512,978,768,243,
525,593,165,967,594,970,336,047,218,019,459,056,588,090,130,252,191,978,279,
636,728,122,351,351,811,717,805,820,357,496,180,123,510,617,839,276,571,546,
634,335,191,791,643,132,966,639,407,889,889,430,290,046,511,913,966,992,698,
248,935,597,852,014,830,128,791,862,250,393,675,903,484,964,997,334,283,983,
038,698,630,530,081,609,030,395,228,809,177,061,606,981,090,526,398,044,251,
992,684,344,815,697,972,934,799,352,512,135,198,195,128,762,580,033,715,722,
854,188,725,697,157,829,427,257,208,662,296,562,841,112,325,606,247,826,156,
238,765,195,317,062,913,763,318,940,612,372,949,232,321,248,997,779,295,213,
057,859,617,963,476,671,398,928,020,828,315,715,475,388,358,869,449,675,394,
361,844,331,221,915,229,731,822,981,149,122,320,239,980,625,349,968,531,086,
073,390,425,309,133,094,888,905,790,965,297,853,706,209,478,301,742,957,670,
741,311,490,439,361,801,551,103,426,585,844,565,236,153,332,116,519,220,854,
422,952,869,679,165,603,328,237,386,435,890,924,233,069,842,997,104,281,404,
409,834,654,911,305,531,180,828,807,544,667,381,933,870,727,167,900,826,241,
923,677,276,437,887,386,200,007,638,860,411,435,885,777,155,436,843,441,375,
078,858,715,399,487,558,627,804,361,212,727,084,267,603,869,815,656,990,116,
418,401,615,709,726,896,701,723,134,279,156,097,501,803,620,975,111,304,094,
673,487,748,228,224,042,852,028,273,254,245,659,477,548,679,526,208,609,419,
878,990,400,751,150,537,237,688,794,443,716,726,309,740,273,870,377,549,880,
703,643,867,817,117,141,193,807,649,281,654,865,193,977,766,568,195,590,574,
679,400,210,459,973,678,713,278,680,792,446,221,396,906,651,503,469,244,063,
464,612,073,364,754,470,638,100,856,157,080,906,041,522,068,341,778,226,478,
237,230,625,754,810,962,526,263,049,066,621,083,802,524,159,423,141,048,832,
265,056,364,095,169,243,432,883,279,544,581,940,031,013,003,142,660,213,902,
546,827,195,860,463,981,161,768,749,869,132,570,745,007,289,526,005,516,530,
231,138,737,916,648,480,196,603,464,104,423,825,103,738,110,596,554,487,702,
651,278,941,940,664,517,646,724,530,874,167,552,075,313,219,264,071,616,850,
114,005,700,904,543,120,959,770,798,594,389,764,611,156,271,728,423,547,672,
336,364,593,405,641,261,617,977,242,795,881,475,011,757,157,101,234,314,510,
808,347,383,149,182,449,979,892,394,051,257,246,019,374,349,089,711,977,130,
988,707,776,832,100,788,308,217,249,854,611,248,805,270,461,679,234,878,678,
573,129,223,133,295,609,363,448,301,096,272,404,739,613,497,567,552,244,766,
374,551,826,085,753,162,226,174,730,363,270,944,384,277,696,339,561,790,876,
056,238,152,020,932,792,806,974,899,622,005,125,290,432,419,366,119,799,320,
178,051,650,323,625,861,228,889,292,453,442,344,447,455,827,810,730,902,303,
534,844,399,002,754,219,385,936,717,719,605,655,648,456,626,861,926,144,426,
172,954,584,471,275,420,754,660,714,616,221,480,587,318,948,472,340,091,584,
044,328,335,298,957,508,286,770,152,668,319,400,909,963,200,870,680,403,340,
258,547,686,070,711,135,382,175,471,658,852,128,633,392,109,299,786,385,104,
350,129,960,746,387,994,452,599,547,519,197,482,467,692,476,611,630,551,886,
765,348,640,614,278,378,606,668,310,323,097,456,652,014,999,353,436,263,379,
069,777,789,764,318,973,911,844,406,515,705,511,115,470,548,128,379,146,563,
411,678,343,578,959,374,250,226,093,577,235,326,704,115,382,751,272,797,917,
836,102,593,661,631,728,682,088,608,238,673,199,949,139,233,179,130,482,963,
913,413,940,859,631,036,900,058,679,754,728,066,833,813,436,093,129,957,060,
871,612,786,937,008,777,602,337,489,304,317,869,973,729,178,831,154,094,659,
626,458,674,451,801,060,861,808,909,465,689,897,881,273,777,377,543,206,774,
031,979,009,044,069,539,840,828,539,236,734,907,334,653,843,850,344,894,704,
871,021,184,721,854,554,785,735,394,140,646,392,608,871,959,375,240,472,268,
949,656,932,809,402,606,430,850,347,764,859,526,704,645,132,894,893,126,275,
296,317,607,778,972,888,417,277,292,385,112,058,718,664,490,934,624,249,550,
287,352,934,312,248,273,025,156,292,128,019,053,921,048,767,987,734,232,145,
467,991,652,931,269,907,503,043,623,283,302,804,062,825,093,651,996,611,881,
133,961,461,618,023,487,914,548,234,471,554,638,308,631,005,714,516,258,739,
036,280,163,750,005,308,741,089,672,583,672,985,602,480,106,555,431,800,400,
280,314,671,848,695,987,959,704,107,810,398,168,621,276,071,892,500,730,138,
876,046,307,982,320,063,893,733,338,121,400,996,959,590,600,340,596,495,845,
075,873,229,613,004,811,132,275,639,836,589,577,258,235,949,141,846,873,660,
257,754,810,044,550,602,710,549,808,552,601,091,454,835,944,135,021,233,471,
417,770,646,570,112,750,908,798,079,679,680,165,355,389,956,299,946,952,677,
413,428,553,467,210,912,207,765,651,710,778,501,617,430,025,186,792,661,653,
870,739,124,565,883,132,556,550,116,879,367,723,757,722,430,811,586,821,820,
952,462,397,817,880,278,583,633,892,859,427,137,442,821,614,008,039,055,209,
135,159,437,605,214,680,995,843,743,782,461,410,152,188,252,150,935,830,765,
398,799,727,710,373,847,996,239,779,509,835,499,537,476,993,335,932,970,443,
486,936,365,351,960,498,988,051,254,354,401,056,182,310,654,200,439,840,766,
320,847,898,903,347,338,533,575,335,008,528,284,134,847,903,006,410,969,129,
004,308,384,621,529,562,239,325,245,657,547,073,321,300,440,276,120,761,254,
014,091,029,558,077,098,651,379,872,865,480,757,746,103,174,461,278,397,646,
487,365,870,511,403,480,031,597,874,694,236,795,517,643,276,868,958,867,165,
766,248,028,244,770,937,654,973,023,259,927,405,102,444,506,742,946,496,688,
580,299,321,718,628,256,748,587,765,918,161,445,933,780,637,551,636,757,328,
543,160,252,922,542,320,259,675,907,259,876,129,095,603,911,444,436,452,061,
791,414,019,730,787,931,840,326,203,701,568,060,623,173,142,065,284,319,330,
243,181,291,287,375,175,182,217,201,592,638,272,276,850,816,331,987,643,902,
013,287,123,633,071,879,468,213,340,913,813,545,799,804,526,380,353,478,199,
001,984,625,985,529,486,482,725,375,668,320,004,803,242,433,180,129,785,242,
646,805,281,286,299,412,855,672,289,372,998,880,858,833,044,008,111,117,328,
938,268,385,978,484,598,942,520,393,424,592,849,138,999,844,106,669,357,631,
836,353,485,184,003,011,088,103,120,180,447,723,747,715,306,521,856,562,485,
525,009,529,167,776,709,063,871,539,199,147,316,483,780,672,016,454,321,351,
187,093,127,410,891,221,240,705,152,244,893,802,512,249,337,766,376,800,207,
908,157,591,791,574,556,869,421,055,293,663,605,183,923,912,407,258,496,464,
602,062,943,212,617,797,060,125,919,801,110,084,585,373,451,535,918,905,709,
807,678,766,054,255,207,108,497,118,513,231,362,125,873,438,206,839,094,871,
635,105,973,286,013,247,104,551,090,228,462,845,975,949,671,090,659,258,843,
558,851,604,284,556,891,992,662,920,154,062,906,025,789,208,975,184,264,070,
853,412,427,653,244,087,982,091,138,302,958,984,003,123,401,073,479,800,315,
534,469,135,427,385,899,480,856,950,644,161,563,601,002,874,345,563,575,126,
696,758,078,013,401,042,921,030,515,436,055,482,422,382,339,833,986,423,994,
197,352,771,439,998,662,378,558,296,214,478,397,140,336,462,215,973,058,656,
337,589,015,007,624,745,041,889,941,164,295,827,444,828,191,507,405,495,615,
512,824,611,581,096,942,277,149,637,879,227,781,464,070,118,849,585,826,389,
382,036,204,819,975,783,288,521,582,952,191,679,508,011,448,246,046,001,591,
709,350,965,930,974,163,858,942,731,480,228,351,486,690,039,932,075,980,046,
830,560,700,217,593,633,667,320,103,992,268,998,284,354,891,938,534,366,637,
265,866,101,441,358,625,134,593,768,716,496,051,828,360,691,222,532,680,707,
764,447,282,347,695,167,794,414,814,299,469,883,698,352,080,284,671,082,664,
469,417,538,861,851,480,923,262,707,921,062,355,798,981,458,015,801,000,658,
654,309,666,653,135,577,194,397,420,689,645,962,325,102,335,101,304,861,927,
571,385,257,672,234,207,254,655,117,754,066,640,600,991,173,063,987,188,668,
271,146,722,605,424,023,648,946,268,889,209,845,148,559,318,525,571,016,556,
817,792,008,086,858,762,026,928,978,832,063,429,867,440,649,669,032,587,358,
558,148,443,443,307,367,217,867,817,685,047,524,000,450,854,952,804,706,534,
994,165,244,833,971,077,364,111,327,999,425,320,205,768,568,246,993,689,563,
946,573,067,656,487,807,163,103,114,517,840,523,843,753,396,281,082,633,758,
147,423,586,161,472,257,426,331,373,783,288,112,003,570,443,526,842,860,455,
842,102,021,539,631,025,580,263,532,218,559,082,373,652,294,848,903,570,024,
057,371,394,812,159,865,190,483,543,351,981,235,379,869,394,047,527,177,068,
096,184,392,761,167,910,067,578,926,692,485,333,897,649,082,851,342,399,301,
911,110,687,505,958,661,250,559,561,207,281,223,964,155,809,730,330,959,978,
000,294,004,192,515,122,753,955,380,545,173,753,222,236,685,955,911,298,239,
182,705,532,472,563,186,566,208,545,472,390,164,749,472,624,855,922,813,659,
996,041,597,446,085,472,325,366,007,865,318,676,309,866,138,651,913,802,123,
534,261,116,760,345,018,341,653,247,353,435,950,264,617,379,459,635,866,515,
168,396,014,003,695,907,971,240,559,244,325,958,276,521,507,173,482,541,204,
801,124,083,626,235,090,867,945,283,978,541,604,872,507,268,984,560,873,716,
452,831,680,156,410,663,715,939,390,307,150,040,282,362,383,861,393,417,075,
483,135,295,858,710,809,547,672,091,304,220,701,364,308,448,434,725,049,805,
780,619,295,731,757,721,051,736,377,771,194,228,368,684,558,980,587,097,907,
411,327,215,441,726,129,764,316,147,958,956,613,333,592,918,042,364,568,652,
958,777,664,899,980,789,215,515,613,019,784,373,599,131,440,384,377,810,935,
853,608,389,106,804,649,516,612,349,340,851,566,790,239,156,172,126,422,489,
461,659,908,973,406,701,823,019,675,882,577,923,547,749,161,502,126,116,609,
670,355,880,924,704,810,239,900,105,284,926,330,393,782,763,634,695,433,561,
688,081,798,457,671,349,443,072,666,755,601,043,472,188,615,243,632,667,710,
604,315,194,597,262,228,452,532,664,253,380,972,439,713,737,088,090,178,302,
890,008,722,055,441,807,237,353,284,647,728,026,642,750,283,532,228,160,203,
385,943,400,585,349,446,016,686,783,382,789,358,403,726,724,183,593,269,178,
365,230,087,661,911,687,087,446,660,143,038,476,152,968,986,499,527,744,257,
592,347,121,600,232,701,961,867,401,519,702,417,701,247,554,411,416,805,301,
844,855,015,515,411,715,914,625,810,023,367,481,028,140,101,703,715,397,600,
236,814,537,434,464,400,814,306,620,413,172,218,847,476,985,285,766,547,089,
378,869,537,333,720,923,635,021,855,371,358,357,753,317,433,475,248,410,279,
957,959,503,945,847,480,808,240,449,162,593,613,680,628,294,331,265,215,358,
333,137,745,968,603,811,970,012,326,800,192,059,623,587,213,175,004,769,341,
388,540,709,180,917,263,027,306,430,866,321,195,139,436,795,051,750,440,360,
726,294,018,371,917,115,457,809,639,552,157,266,127,967,458,552,012,085,545,
212,916,180,056,407,160,512,608,848,564,254,560,005,282,414,803,501,603,074,
337,461,594,605,445,039,438,546,810,430,909,408,462,050,699,514,398,047,682,
262,755,113,503,045,166,671,493,812,728,935,736,845,883,931,628,429,767,177,
921,894,856,633,617,093,693,383,152,719,080,119,305,287,649,650,833,987,434,
799,663,334,512,167,238,449,545,775,895,797,653,299,983,301,259,398,288,875,
496,588,870,386,670,984,456,576,037,557,268,121,592,540,175,846,975,981,118,
040,713,873,748,483,314,429,109,183,170,399,155,311,676,041,681,699,720,289,
685,811,904,079,004,758,935,506,608,427,252,673,030,457,195,175,906,721,328,
207,754,570,432,810,731,123,275,182,355,126,323,573,914,032,173,436,139,023,
817,043,146,311,703,270,886,023,166,728,644,144,351,675,492,533,444,259,897,
227,227,115,990,448,361,332,818,968,382,435,202,737,259,614,184,915,775,707,
973,335,078,725,727,027,823,482,751,389,073,361,668,440,673,941,630,059,288,
198,322,966,706,850,482,818,742,044,442,049,691,233,178,332,164,972,477,917,
516,770,420,334,278,483,463,185,184,924,045,730,648,416,559,025,184,872,535,
411,745,313,666,068,132,656,960,731,463,981,702,336,322,732,208,642,156,490,
655,306,578,820,562,746,681,619,296,777,393,578,204,326,928,558,142,022,423,
824,066,211,076,786,819,430,252,923,708,927,670,438,268,558,403,809,810,795,
818,344,913,704,463,463,784,636,976,250,752,190,757,266,979,585,573,868,245,
765,636,642,987,069,890,841,874,364,728,141,944,753,503,174,449,188,721,430,
815,385,960,183,394,539,861,553,559,292,392,534,447,237,874,586,145,790,834,
997,820,937,475,133,743,605,496,081,652,974,878,312,527,746,565,314,605,518,
230,198,954,253,446,441,418,171,210,702,441,128,347,553,625,636,521,930,767,
353,325,113,494,067,119,433,497,038,295,832,842,810,683,149,478,371,243,848,
324,595,033,770,818,224,192,691,197,026,670,295,507,681,924,853,710,985,065,
540,105,920,668,291,704,627,548,790,901,872,308,486,959,051,340,292,675,588,
331,312,085,415,462,476,551,905,355,058,082,248,580,381,917,066,419,187,118,
900,645,175,411,509,914,254,132,800,024,241,707,183,253,977,277,313,957,575,
401,079,971,728,112,109,265,285,754,537,192,587,499,232,201,481,902,837,951,
011,869,905,994,721,668,269,263,388,345,375,772,239,342,795,440,410,051,148,
537,242,242,471,403,624,198,099,101,032,851,716,088,716,161,204,400,754,968,
065,354,388,306,361,586,862,864,593,256,281,421,161,752,015,249,957,609,554,
372,599,634,944,893,397,705,064,447,752,721,552,943,450,932,830,543,821,254,
450,447,873,772,690,914,118,293,671,169,884,940,924,958,896,071,307,621,738,
180,987,755,370,915,268,874,011,313,373,354,019,527,239,897,092,908,764,866,
491,447,087,502,372,012,713,490,550,256,003,207,390,979,819,583,080,948,728,
498,662,556,494,352,288,663,119,240,011,980,379,746,924,598,997,123,311,902,
145,886,692,529,347,496,292,896,862,565,437,382,385,090,342,672,142,709,354,
063,506,918,894,463,921,974,325,398,597,465,963,615,887,269,985,914,153,557,
106,710,693,429,368,692,885,600,470,244,799,800,106,893,832,173,571,181,768,
825,762,023,233,365,728,771,382,317,742,691,354,218,036,619,346,875,418,913,
013,081,172,857,113,057,411,517,920,928,027,591,274,820,888,444,094,151,140,
286,198,701,541,983,140,659,050,137,070,792,962,045,200,942,892,352,188,225,
178,866,712,440,213,459,290,925,201,771,826,364,394,728,226,762,388,121,788,
854,884,727,231,315,135,064,122,356,282,080,511,777,420,781,700,747,858,429,
557,884,291,674,968,559,079,637,967,728,866,563,863,472,115,929,855,096,190,
628,400,670,244,117,638,870,803,077,099,134,269,972,655,482,376,771,718,348,
339,412,643,732,155,310,340,424,514,167,954,577,986,819,544,374,117,980,936,
363,532,369,025,955,110,386,231,365,172,306,441,285,617,758,713,358,591,938,
095,175,769,417,112,192,065,713,991,052,590,791,444,709,325,513,973,882,464,
310,681,996,866,261,424,470,307,802,054,354,958,836,439,286,953,124,315,150,
782,477,333,986,419,595,289,091,034,294,367,769,761,580,296,964,536,758,936,
988,319,033,113,882,482,787,769,627,129,430,703,056,019,967,914,387,822,231,
807,771,880,804,607,125,759,975,781,323,184,722,382,027,541,676,946,741,652,
648,222,152,430,946,807,537,660,606,841,750,618,321,465,717,834,824,797,539,
899,293,094,451,722,169,716,305,245,404,065,414,944,392,337,159,790,964,087,
500,713,021,075,394,349,169,546,243,773,015,030,128,586,044,108,356,189,532,
956,847,780,113,956,376,406,625,620,889,989,685,185,930,974,690,205,357,483,
375,932,469,592,779,279,767,336,834,186,529,709,024,209,549,450,585,372,878,
676,094,752,750,422,028,569,997,573,162,273,266,156,460,164,155,855,687,964,
115,181,459,343,553,398,059,188,185,453,552,632,349,277,791,527,216,741,271,
387,988,714,195,239,062,607,433,161,950,731,137,628,307,692,469,154,129,724,
956,792,560,393,746,269,640,048,954,390,736,957,376,195,528,923,349,371,089,
701,617,313,280,478,542,149,561,889,781,498,884,458,452,480,105,887,462,548,
882,505,691,179,724,161,038,680,996,476,771,377,472,977,932,270,314,942,391,
592,590,699,908,276,262,816,957,284,713,788,981,800,557,269,706,450,791,473,
445,825,560,447,221,386,115,396,522,105,867,472,146,895,842,187,481,577,834,
837,596,738,529,517,663,960,014,783,209,250,817,913,311,909,790,308,960,854,
758,316,945,899,574,965,085,213,468,148,096,593,435,182,772,128,836,028,567,
462,731,458,929,790,430,005,687,540,029,311,292,581,398,199,434,208,073,575,
535,854,179,471,340,094,391,374,726,611,190,292,643,794,341,860,966,612,860,
608,249,444,937,369,437,706,741,379,069,018,940,384,553,624,968,186,756,594,
096,800,501,646,140,659,804,546,540,660,450,336,837,080,580,044,917,592,963,
123,430,822,144,568,575,357,506,022,388,219,899,095,329,592,416,966,650,047,
754,011,907,156,557,237,564,191,109,538,698,459,949,381,726,645,453,574,932,
150,590,267,091,831,972,712,184,971,145,084,885,650,516,955,432,349,157,966,
096,657,103,255,689,577,097,829,920,063,065,980,142,205,591,564,012,193,720,
563,782,566,275,088,399,435,647,281,446,540,146,338,644,975,803,374,057,633,
881,591,368,935,445,666,230,695,175,970,091,148,074,851,748,657,902,795,735,
020,611,215,120,064,920,866,760,398,976,608,738,496,176,770,705,650,729,356,
280,312,234,430,116,177,353,669,146,821,202,477,487,505,981,990,530,490,067,
805,080,171,656,435,035,506,135,101,598,615,359,326,662,738,204,673,830,694,
580,372,326,663,346,674,941,560,076,000,510,339,757,829,777,018,590,233,485,
333,766,321,147,387,083,553,751,316,379,661,009,225,162,956,023,917,049,188,
281,891,757,180,260,414,844,692,413,145,900,290,643,339,902,575,299,792,542,
077,279,049,736,268,139,245,651,683,500,591,799,119,311,779,832,377,594,482,
737,055,303,086,969,948,854,058,280,904,839,675,725,206,906,800,499,426,963,
296,910,099,245,992,646,912,378,779,740,032,250,850,966,802,468,558,627,178,
315,996,048,005,431,589,498,998,623,514,561,068,248,733,610,470,513,132,861,
857,236,188,029,168,777,079,304,547,139,977,783,871,781,443,189,700,954,998,
857,404,244,886,772,184,363,041,434,675,093,685,938,316,499,295,349,202,465,
044,977,518,302,667,649,009,075,348,495,916,609,257,779,586,419,589,394,084,
636,442,837,375,024,192,132,301,267,643,884,945,858,130,388,035,631,657,940,
696,445,066,549,358,853,428,258,269,143,789,535,883,754,329,249,990,286,596,
371,392,687,292,475,216,189,847,920,651,523,034,419,113,207,688,334,203,341,
411,359,852,861,223,278,167,500,752,476,124,620,884,963,401,379,196,757,804,
209,640,841,332,836,077,548,194,109,619,063,490,978,850,113,153,824,103,365,
079,799,908,328,501,998,360,763,403,857,640,020,842,886,973,131,691,872,760,
952,312,694,496,119,984,427,707,074,634,255,156,761,112,059,908,709,586,188,
735,498,241,172,834,378,228,476,424,281,348,759,183,618,258,967,560,607,917,
930,512,978,726,561,566,638,888,673,255,073,861,042,802,236,330,607,972,439,
695,628,358,619,971,930,394,792,806,947,795,244,979,853,985,364,166,963,570,
367,782,678,960,107,676,654,696,808,088,837,957,386,838,688,949,029,757,239,
227,411,958,228,864,251,926,874,928,079,006,884,249,379,595,065,171,508,908,
991,520,127,272,492,688,877,697,372,450,042,956,932,577,541,898,565,241,861,
248,328,528,156,615,098,829,220,845,499,654,312,103,989,955,228,810,183,265,
768,403,096,646,032,350,983,750,018,962,718,335,863,792,731,371,911,781,021,
746,277,719,805,247,306,546,888,957,799,767,334,798,627,245,951,533,350,940,
749,310,502,381,104,520,956,154,723,230,244,928,749,116,171,688,342,115,617,
208,113,029,552,978,237,256,638,360,828,884,894,706,332,463,152,498,165,252,
315,008,971,075,883,172,011,154,783,318,263,294,294,851,095,501,353,357,550,
279,624,223,787,553,635,519,688,557,569,106,375,069,001,155,253,941,591,467,
371,381,845,476,357,666,482,616,962,401,589,030,413,037,553,535,812,644,478,
812,765,914,979,699,484,051,906,188,746,446,812,096,443,057,131,956,148,474,
693,980,970,086,196,522,324,798,236,688,437,638,830,998,261,092,398,422,309,
832,026,100,453,857,547,300,073,072,811,293,510,801,157,231,232,491,665,399,
611,742,896,901,587,552,729,343,180,713,323,690,332,744,365,702,050,431,041,
150,705,421,726,461,356,180,696,851,100,812,762,497,236,826,168,142,186,852,
307,061,174,186,025,148,187,677,461,647,219,708,237,711,074,838,085,586,508,
098,703,183,542,959,178,484,178,777,288,002,665,316,485,602,275,878,008,391,
823,822,912,115,179,038,559,328,607,978,705,129,595,109,537,270,927,885,361,
992,691,191,994,811,168,623,273,350,663,289,280,720,333,796,698,138,651,257,
692,492,742,725,134,551,720,637,161,232,343,777,684,380,103,866,526,371,795,
610,880,216,836,641,180,967,789,865,728,780,003,430,777,996,219,616,185,128,
095,490,765,740,842,421,139,147,747,645,457,258,260,081,052,336,455,872,908,
846,815,609,435,476,861,267,971,353,845,841,631,247,791,977,061,380,677,741,
644,913,524,599,845,545,797,140,366,951,649,959,322,916,176,011,086,141,215,
984,580,425,281,975,539,155,986,939,050,879,658,868,901,346,610,527,273,689,
322,027,122,859,501,031,969,764,159,092,272,320,361,633,273,180,438,512,388,
841,025,516,383,714,475,279,009,527,843,035,333,874,006,436,282,067,466,440,
659,800,897,978,629,947,192,496,374,500,359,835,481,621,362,711,356,675,092,
162,574,866,339,492,811,436,896,564,177,698,082,283,159,570,278,554,486,024,
799,790,636,481,958,492,420,845,546,563,411,275,794,661,223,218,691,050,829,
885,792,865,427,392,877,666,328,656,452,810,086,515,826,152,526,028,441,315,
820,865,468,610,425,435,059,698,113,736,488,827,731,168,071,945,563,014,830,
015,766,317,820,101,667,299,638,768,352,939,571,393,402,813,866,886,032,054,
421,798,573,641,496,009,887,204,598,504,258,194,240,211,539,734,177,639,353,
071,847,824,436,686,386,609,980,560,960,933,955,686,747,312,863,599,018,523,
536,608,898,772,346,320,779,767,507,595,469,843,626,243,334,319,802,667,757,
210,792,544,671,337,534,476,494,265,460,389,943,649,523,523,059,716,073,746,
031,741,552,766,869,595,329,053,127,577,106,969,500,403,776,913,546,573,655,
950,138,085,385,059,522,013,671,970,635,014,580,492,923,725,012,796,044,438,
028,374,033,149,633,843,840,142,956,818,908,916,202,901,526,279,196,350,966,
917,740,569,313,229,455,525,719,520,745,243,275,243,226,827,825,669,497,915,
319,876,191,297,666,201,813,966,500,092,122,534,728,114,690,761,422,361,358,
837,060,276,978,826,293,872,578,056,547,014,371,455,265,985,130,590,745,102,
934,954,634,301,125,632,822,969,199,412,220,791,238,815,834,594,044,577,999,
959,815,854,583,966,622,565,677,616,746,486,020,698,747,581,071,483,652,428,
481,142,266,498,460,458,513,985,136,224,823,291,166,525,148,219,520,018,428,
805,371,708,495,046,165,143,844,655,987,343,844,402,234,902,367,390,863,198,
115,755,681,021,246,190,981,480,102,623,629,902,531,072,161,307,059,007,195,
308,147,545,565,972,818,195,686,991,773,023,119,059,449,008,424,736,923,355,
348,895,550,963,969,789,632,795,852,740,356,862,594,050,705,361,083,249,803,
188,795,917,910,695,057,158,095,936,812,106,010,824,832,704,096,558,487,324,
680,508,432,363,864,378,391,896,355,152,184,784,496,970,580,584,977,886,178,
863,310,380,779,871,835,925,691,183,794,305,834,272,688,058,789,055,945,957,
715,355,104,704,608,842,564,582,466,609,553,650,780,520,216,631,674,771,343,
477,475,746,639,740,411,039,764,671,819,517,088,485,095,367,848,653,536,263,
821,189,869,121,253,602,807,062,411,682,407,402,223,686,681,679,182,420,263,
753,470,201,224,206,350,157,267,040,352,009,891,153,459,513,859,281,248,229,
826,661,583,221,632,400,289,014,712,052,261,388,469,172,233,420,191,337,568,
414,335,628,566,051,503,366,103,368,019,460,006,743,344,502,018,889,963,330,
268,196,462,548,847,313,683,749,061,019,839,452,511,125,495,626,986,575,595,
010,559,978,325,253,215,239,785,279,748,814,131,315,601,694,634,714,328,566,
180,848,464,262,662,031,270,522,846,976,671,542,534,694,930,582,149,414,837,
691,471,322,108,376,605,665,758,564,697,040,063,571,000,450,443,175,958,202,
276,668,658,984,025,898,722,795,627,886,313,704,632,503,591,227,672,037,022,
176,496,727,336,980,018,338,912,529,748,321,845,586,052,658,036,342,882,769,
001,311,370,376,154,853,368,587,747,209,609,106,136,135,883,813,653,004,395,
227,984,762,266,847,353,069,421,708,873,367,604,887,822,515,703,779,458,372,
140,356,981,970,339,527,864,626,234,251,643,037,730,634,659,363,639,580,240,
947,189,927,983,178,032,862,868,438,369,491,259,646,056,321,124,178,472,120,
612,089,580,465,202,233,749,733,854,636,422,208,594,787,318,099,901,333,269,
518,426,862,512,578,481,793,572,515,596,470,010,360,317,513,938,301,910,549,
114,627,378,812,634,521,169,375,572,955,670,403,622,711,824,633,489,908,976,
507,651,775,895,373,750,424,497,343,096,504,732,308,196,779,548,372,883,791,
518,503,786,040,638,714,220,582,612,607,832,019,291,054,018,689,204,958,026,
811,053,394,215,289,436,183,900,501,797,529,609,325,566,319,376,036,801,543,
684,400,311,321,261,853,919,046,006,319,025,209,127,516,709,095,750,356,289,
556,416,989,985,519,886,565,624,705,423,052,814,291,205,065,504,072,222,511,
540,598,877,770,863,854,872,679,025,746,844,417,402,273,654,705,298,057,197,
207,958,286,097,111,346,223,920,785,232,290,890,778,667,646,077,385,640,730,
116,409,653,254,206,752,062,111,029,770,411,101,074,032,179,134,601,399,345,
597,645,677,042,105,975,707,958,804,207,992,226,641,591,536,737,122,320,685,
255,739,897,049,506,736,891,304,290,390,471,139,023,381,017,733,210,883,272,
476,735,257,631,253,436,928,245,551,548,643,321,573,288,725,533,555,253,933,
681,863,106,394,628,450,275,809,635,989,903,368,623,851,226,130,933,215,909,
286,927,165,951,978,245,708,904,630,120,932,168,415,190,409,841,594,637,240,
152,950,570,856,266,099,963,538,585,338,276,114,149,887,004,595,528,696,458,
200,201,234,968,461,345,934,021,129,715,432,475,315,158,106,844,212,940,938,
779,461,557,453,029,717,478,694,649,182,359,731,196,684,535,636,845,826,447,
313,882,160,163,094,495,839,003,002,077,655,552,599,752,399,800,266,410,726,
545,459,937,768,607,494,024,281,452,706,084,624,671,591,969,296,898,017,354,
220,887,663,179,095,897,411,596,610,509,976,324,707,671,342,327,418,485,094,
062,678,586,476,210,151,971,665,637,621,410,882,904,248,766,933,810,340,798,
033,993,707,557,856,591,432,896,737,700,974,136,523,555,163,830,734,388,634,
797,297,345,904,455,540,827,867,013,541,913,180,712,750,542,553,427,595,991,
846,395,601,212,228,722,917,418,068,067,355,434,435,282,679,381,895,756,731,
451,055,443,275,047,862,331,485,339,094,386,546,038,636,456,782,984,850,713,
294,823,217,285,339,743,169,143,816,812,617,959,060,961,144,999,810,339,146,
740,358,728,381,609,905,287,946,700,460,770,295,855,522,856,521,532,068,766,
262,099,066,257,172,247,789,176,491,196,572,680,510,583,631,088,304,676,259,
151,522,017,435,256,370,857,284,125,036,750,304,413,742,877,666,692,152,380,
314,364,879,279,305,830,661,921,327,584,636,842,001,829,082,127,790,161,778,
875,908,076,191,172,955,723,839,665,421,577,067,396,230,694,347,556,393,820,
194,840,578,136,839,566,518,611,107,613,931,720,200,187,864,282,022,792,208,
351,314,948,155,701,149,827,591,340,329,791,906,628,614,270,609,941,652,477,
886,032,491,780,780,697,968,080,249,032,248,752,828,900,971,266,198,810,343,
020,947,601,076,795,873,564,398,981,444,769,776,100,411,614,183,446,926,990,
596,815,250,868,092,818,731,087,353,170,727,842,042,531,538,057,950,971,488,
284,545,558,912,283,157,162,038,986,714,583,544,409,337,472,996,577,175,128,
787,434,838,047,159,150,123,913,682,827,726,176,739,905,773,047,473,666,223,
378,114,588,749,315,863,357,364,175,424,841,860,734,728,209,039,208,579,307,
862,106,323,758,574,608,816,578,251,169,821,475,698,965,693,617,618,850,683,
954,083,869,673,754,808,790,789,182,871,348,016,200,684,795,839,439,380,251,
449,151,465,696,853,873,393,493,440,223,350,104,465,122,040,385,821,006,411,
882,610,596,446,220,306,047,712,149,381,120,034,545,794,968,480,556,153,073,
839,660,037,420,950,013,314,252,314,828,622,831,185,002,204,878,210,584,381,
791,935,617,582,135,347,245,551,094,635,366,807,813,852,204,160,759,032,713,
803,965,798,927,872,135,125,945,215,607,909,435,811,065,596,580,001,275,610,
718,843,968,416,618,182,761,335,974,542,575,891,987,177,490,089,534,795,299,
602,901,473,188,920,885,358,532,921,583,548,085,394,738,293,091,094,177,538,
849,271,652,761,824,689,151,805,186,827,040,810,395,205,395,681,437,631,193,
874,528,587,533,430,534,614,217,875,299,373,744,290,109,732,700,911,800,033,
443,372,988,523,608,163,111,499,849,229,711,143,879,547,283,874,289,907,320,
208,865,471,920,059,097,088,358,718,124,776,195,279,002,864,634,347,845,129,
556,557,934,767,187,267,084,858,964,467,056,902,646,977,184,152,823,259,831,
642,859,043,908,224,911,673,908,629,423,888,904,233,217,201,910,097,044,574,
002,552,633,659,722,891,312,910,378,764,463,440,527,085,279,776,240,704,266,
730,396,820,002,457,023,725,220,835,741,390,735,588,322,378,370,741,883,259,
863,419,266,470,630,964,338,106,731,914,924,224,236,849,011,083,547,699,463,
923,197,359,985,942,655,568,362,218,604,639,025,461,293,156,898,866,600,254,
751,750,899,633,456,375,675,374,499,481,052,598,977,770,990,551,603,905,210,
855,993,256,632,342,329,276,421,574,511,094,724,341,249,251,313,136,163,665,
732,147,247,572,656,662,832,318,119,306,472,522,162,847,290,812,121,571,197,
082,482,252,782,882,476,859,738,429,479,011,980,300,193,354,724,148,235,506,
883,826,896,101,910,189,904,580,341,970,846,402,361,425,074,624,807,524,899,
341,262,813,323,796,929,727,636,540,246,072,108,645,604,894,986,320,671,929,
636,315,632,070,218,173,126,048,760,094,496,697,981,839,573,264,845,888,280,
645,628,953,817,117,838,562,277,448,003,726,655,947,940,422,165,857,145,152,
202,471,664,897,974,573,107,503,260,268,180,017,707,114,223,283,949,497,135,
786,173,797,699,723,803,399,809,970,789,907,503,688,810,650,364,907,756,537,
337,319,422,812,387,416,038,198,862,069,018,026,385,698,771,415,308,625,157,
824,627,699,101,116,450,772,218,211,186,023,775,396,438,649,620,397,551,478,
225,951,939,109,207,203,546,029,416,119,192,102,429,536,968,337,895,396,737,
391,690,296,988,444,459,369,003,789,551,401,295,341,675,238,519,828,578,553,
023,137,547,435,098,192,624,294,310,556,030,729,179,510,880,752,073,435,857,
908,632,505,559,079,550,564,161,234,449,706,199,963,219,536,668,975,115,406,
843,957,391,072,849,446,884,580,405,294,024,304,249,285,383,605,454,425,996,
008,953,848,423,982,564,216,939,383,341,444,184,450,773,910,275,177,456,535,
300,053,953,602,300,445,835,674,491,695,200,662,305,588,173,259,668,538,173,
482,937,723,304,305,256,671,160,085,569,556,672,449,293,728,705,632,254,106,
645,941,081,013,711,059,662,473,420,231,018,685,956,191,192,321,708,698,385,
410,035,678,672,753,765,052,966,713,319,041,162,066,076,702,687,406,526,543,
612,769,834,440,396,698,267,300,795,133,925,226,396,734,794,863,844,427,082,
037,508,834,595,393,876,717,716,168,744,603,356,082,334,027,988,982,533,391,
985,544,837,542,002,189,836,937,429,735,933,421,674,798,449,292,559,298,108,
369,819,686,764,112,306,961,572,711,948,247,985,867,080,544,567,165,225,762,
999,345,602,356,935,564,970,738,715,716,111,402,154,393,447,955,695,077,024,
040,793,742,849,409,878,175,429,439,636,415,153,167,884,713,464,633,441,835,
537,841,021,572,658,167,886,642,762,053,209,399,255,536,650,440,136,606,339,
894,922,364,830,375,417,820,659,835,542,309,268,493,669,382,703,262,107,721,
203,163,390,690,464,292,562,467,976,476,412,989,276,894,398,832,014,227,853,
926,357,489,292,962,070,214,531,799,797,882,875,433,361,960,979,111,641,876,
782,143,971,426,588,755,798,466,903,675,209,863,940,188,934,168,809,493,302,
320,063,505,374,401,167,524,162,541,319,657,708,442,933,682,656,077,668,878,
853,379,581,356,100,222,635,713,529,651,870,368,372,947,108,203,711,254,657,
198,675,927,901,930,163,292,497,090,783,059,378,102,313,436,967,094,512,430,
657,501,199,296,296,761,071,821,506,824,425,204,338,182,264,188,644,040,071,
417,950,865,063,537,362,859,162,460,312,447,618,120,874,842,410,472,273,307,
253,931,054,865,142,612,574,888,521,047,669,531,233,117,812,946,476,795,081,
516,996,457,718,305,834,330,127,268,327,159,915,479,172,931,824,599,347,822,
970,796,741,880,747,255,196,156,316,907,644,124,889,529,680,904,276,472,391,
298,943,485,985,545,255,777,978,450,239,329,668,539,117,383,392,705,338,437,
746,632,511,498,748,741,643,929,525,447,962,259,765,344,283,729,380,384,674,
097,506,325,211,404,672,008,794,707,518,210,667,370,135,144,580,829,843,760,
693,231,712,954,307,897,899,080,019,311,393,990,060,103,657,373,115,042,953,
363,300,725,445,006,703,897,969,426,717,879,906,908,839,332,412,412,062,545,
798,011,308,575,227,201,577,409,747,300,078,855,135,835,861,755,640,272,821,
970,663,282,606,368,337,693,267,016,931,481,331,665,536,043,396,174,908,589,
657,208,545,796,334,404,154,156,101,142,039,959,139,400,536,829,351,046,198,
746,343,077,978,549,879,221,541,980,729,897,915,343,829,331,186,032,806,282,
462,529,373,102,607,665,303,743,488,575,248,279,070,153,460,339,311,731,564,
111,313,081,061,114,537,281,024,203,341,726,348,636,696,352,382,335,713,770,
380,024,594,379,320,818,436,117,948,383,268,346,269,251,558,920,734,804,032,
960,978,519,737,498,153,238,939,150,439,751,363,376,848,924,426,741,268,386,
455,592,975,764,069,306,782,239,252,228,065,216,170,416,526,192,517,621,432,
782,909,502,964,661,591,390,379,436,016,813,551,211,535,002,529,944,219,773,
210,822,078,516,936,733,760,567,747,543,243,185,659,115,396,935,811,365,964,
879,108,699,970,038,466,739,784,513,598,854,738,575,755,146,023,067,492,109,
130,578,801,689,665,351,309,890,706,560,869,812,315,914,282,468,186,489,248,
185,726,499,359,334,142,902,898,335,332,504,309,833,832,012,527,590,901,980,
984,557,254,921,612,865,142,714,113,254,543,085,228,562,447,420,659,551,055,
619,146,539,108,931,427,116,029,774,342,102,716,404,422,755,879,109,984,827,
472,725,291,004,236,385,469,481,277,798,290,573,710,071,198,856,696,089,243,
015,469,999,139,789,667,168,358,600,980,494,966,334,182,173,750,242,165,996,
290,685,695,406,277,140,612,149,249,476,761,026,229,902,183,592,613,271,570,
555,094,522,675,710,777,947,234,505,911,067,291,049,185,638,923,854,210,718,
037,104,805,111,282,862,466,389,596,376,449,986,908,750,809,827,979,833,632,
232,283,525,032,429,423,073,550,087,721,108,757,999,473,360,004,117,870,430,
923,377,582,022,624,985,602,072,469,317,677,119,037,341,967,811,514,563,867,
801,852,867,464,951,632,241,958,840,854,273,861,916,845,016,879,767,926,559,
903,419,450,208,035,907,635,958,924,768,260,932,428,961,560,757,618,932,247,
189,220,082,503,658,616,062,142,612,898,797,736,098,269,881,755,629,622,562,
742,267,409,123,306,760,439,244,074,402,792,909,829,175,124,767,699,951,392,
820,046,041,545,189,652,634,135,912,306,813,808,693,232,011,221,275,939,209,
495,287,321,487,033,899,221,121,005,879,634,167,348,815,642,184,835,320,615,
988,422,173,552,367,501,266,921,570,150,100,953,688,910,877,184,470,565,157,
672,771,288,980,754,262,002,311,663,571,179,062,407,762,526,183,881,813,377,
970,905,513,040,133,543,338,581,925,977,704,762,164,163,619,088,202,707,370,
280,694,003,761,987,585,370,549,843,240,391,038,303,367,884,558,292,006,776,
425,434,034,911,624,654,569,161,504,381,379,625,331,565,569,132,801,162,229,
708,251,765,837,846,325,504,853,582,360,995,317,994,495,585,520,474,644,080,
656,923,331,436,376,274,858,843,366,911,793,388,836,873,268,452,743,919,953,
436,565,821,629,100,618,324,269,299,443,269,441,847,349,159,451,693,364,493,
919,242,036,498,682,489,090,873,703,397,876,191,241,737,569,047,898,955,906,
470,683,335,714,813,816,079,790,326,042,089,439,047,555,423,187,456,415,748,
314,595,505,899,724,134,159,918,138,621,199,957,957,073,580,818,533,726,206,
239,645,433,193,702,890,868,208,903,143,679,273,614,878,516,404,377,550,469,
719,246,935,878,325,646,761,204,487,589,462,787,631,220,498,447,866,179,337,
207,348,287,004,666,300,292,922,385,276,596,108,356,369,727,216,747,045,768,
170,321,498,770,202,032,905,344,771,176,149,199,413,308,814,828,145,817,619,
807,552,605,845,169,106,306,496,305,451,847,486,908,482,174,449,451,453,219,
811,879,865,809,848,025,367,734,566,090,765,921,022,856,609,259,167,076,247,
877,190,079,450,022,019,210,916,014,609,176,074,472,335,324,669,027,071,722,
000,557,146,536,020,865,839,079,165,875,566,206,430,669,303,990,754,218,619,
172,450,027,134,663,407,093,599,618,520,461,233,077,710,101,518,932,544,427,
623,924,876,966,027,573,912,551,717,308,994,433,458,135,574,201,954,353,729,
338,784,814,427,971,659,940,638,076,785,604,637,198,474,725,403,755,681,789,
538,129,482,714,656,605,737,308,717,479,318,306,927,875,833,945,922,453,696,
347,308,568,127,992,474,348,822,894,675,812,353,195,118,154,080,406,723,074,
661,386,547,453,171,224,315,529,158,155,639,314,330,399,065,143,102,822,577,
857,541,466,732,451,308,169,755,782,653,831,446,740,901,206,467,537,568,996,
331,409,744,964,871,041,320,704,005,872,719,718,341,965,321,544,148,885,178,
542,737,433,345,223,538,205,921,965,354,170,220,522,450,583,729,357,692,606,
339,656,553,245,924,082,728,329,849,399,055,467,870,899,947,153,265,659,301,
931,722,360,220,171,014,347,372,447,423,445,874,087,305,776,467,541,649,762,
558,879,747,239,618,250,036,465,869,460,260,896,942,947,872,575,869,264,269,
879,979,839,865,421,294,368,671,272,828,414,603,214,804,026,193,535,205,904,
252,765,646,523,934,009,222,963,998,138,849,704,807,736,888,829,787,326,838,
633,851,112,560,907,926,160,877,086,590,322,010,176,930,935,977,033,016,476,
479,077,568,709,614,526,993,026,738,154,287,160,895,349,321,821,105,408,728,
369,817,941,698,782,969,128,441,836,096,362,380,046,900,475,721,021,458,810,
369,881,521,429,328,639,500,219,324,937,543,795,371,673,527,055,718,568,523,
336,433,722,610,822,937,961,434,258,664,165,366,789,055,885,302,757,898,321,
323,944,718,771,274,050,960,117,183,959,185,596,565,967,747,166,428,972,270,
204,410,187,617,604,196,375,650,625,198,042,480,395,921,956,872,065,748,364,
606,677,082,579,472,891,900,603,294,560,068,912,643,618,432,982,635,313,621,
638,576,377,745,249,048,552,930,746,047,217,687,922,926,495,450,737,080,730,
077,899,396,261,684,711,881,858,665,840,369,121,807,703,981,353,632,881,060,
083,741,186,561,358,131,385,223,797,233,491,482,156,748,093,041,827,082,246,
475,512,240,535,809,061,213,044,825,382,051,820,502,922,403,316,695,658,987,
240,907,132,837,430,448,643,162,791,698,484,266,536,272,834,264,686,970,919,
591,990,803,368,609,044,170,841,376,072,724,577,331,980,356,643,019,099,456,
048,658,970,905,990,567,320,882,903,574,716,342,891,460,262,788,180,059,268,
460,109,099,260,555,223,596,990,188,446,960,226,354,144,530,378,015,316,630,
776,735,076,584,362,943,515,667,394,727,494,770,738,607,370,565,937,361,358,
263,904,340,992,815,914,687,897,837,740,467,446,882,358,974,074,223,580,443,
110,937,280,062,099,384,188,555,505,964,654,709,949,242,556,587,779,544,298,
266,244,210,397,926,262,700,078,872,615,035,077,735,315,088,884,014,357,703,
456,440,058,895,769,013,233,068,726,295,680,610,111,184,203,545,222,408,540,
361,889,852,839,605,430,406,414,701,118,142,184,188,606,925,940,752,539,568,
699,652,052,326,837,875,121,370,067,996,748,597,653,207,221,407,608,917,079,
308,668,279,960,696,378,239,941,908,017,302,245,117,848,369,791,468,038,456,
103,756,394,858,266,320,615,387,323,962,471,614,719,764,393,567,803,895,991,
355,342,143,260,256,626,367,382,125,011,129,910,474,860,701,056,121,455,894,
724,262,792,381,995,421,771,547,732,670,859,298,888,099,307,015,752,769,207,
057,649,441,170,907,646,474,043,372,813,871,613,755,521,191,952,492,191,947,
339,497,517,843,150,508,772,410,798,118,950,202,712,231,665,021,310,632,810,
259,507,262,011,730,245,663,265,204,393,118,774,791,341,502,837,127,377,573,
805,922,790,669,190,828,574,255,668,618,911,718,956,992,213,856,568,771,867,
051,180,811,920,750,438,652,694,076,718,974,729,838,582,593,914,846,756,182,
928,142,076,575,819,780,612,955,776,192,981,279,921,003,817,890,515,491,201,
997,756,156,588,082,496,865,481,052,771,390,294,705,294,514,875,028,722,913,
521,446,313,276,676,737,358,111,893,198,291,331,869,640,527,777,754,996,354,
362,481,282,219,203,101,159,711,229,352,370,827,833,164,611,259,801,366,386,
547,063,299,791,495,096,970,276,045,790,058,932,356,332,635,451,917,728,642,
776,472,779,323,598,583,390,840,772,710,829,602,509,395,768,470,297,862,290,
090,514,388,160,768,179,331,372,971,822,862,822,349,935,662,029,449,886,982,
997,203,158,756,972,410,862,160,805,402,312,143,168,461,456,274,895,854,176,
902,437,155,541,600,679,434,050,962,538,733,709,937,848,260,236,217,889,249,
513,886,248,161,033,136,383,084,274,241,012,154,402,622,195,011,145,988,367,
004,224,180,544,676,628,149,220,057,197,250,531,884,655,473,561,807,125,440,
956,089,487,303,516,143,429,593,862,580,535,122,934,332,029,350,918,101,773,
534,203,138,639,566,717,253,959,738,251,405,014,449,570,048,576,046,719,532,
474,401,067,054,978,248,214,730,569,882,383,173,638,539,640,824,893,927,515,
848,406,953,685,975,641,823,153,455,568,570,866,398,932,440,774,355,327,108,
251,538,132,046,680,947,425,105,193,017,250,005,408,586,843,659,978,873,080,
890,472,743,344,279,152,215,028,377,697,250,797,685,827,729,662,292,607,547,
513,226,055,174,239,486,009,177,435,504,219,581,899,456,117,842,583,439,154,
592,659,014,449,517,087,790,070,701,235,109,225,807,582,245,512,722,730,487,
047,132,469,979,127,314,202,240,351,682,085,588,680,854,319,817,425,205,107,
245,863,635,369,790,712,685,616,553,215,348,026,607,296,995,285,453,700,568,
432,711,361,832,765,338,275,174,583,439,449,549,021,708,555,939,427,232,948,
459,012,861,729,035,966,828,796,314,443,078,267,884,365,616,539,486,887,936,
969,130,501,080,677,776,372,189,666,862,427,600,355,837,589,511,090,560,318,
092,417,998,325,417,722,349,096,388,264,767,261,472,251,158,583,981,615,774,
239,791,174,561,809,430,560,135,627,811,135,366,604,823,051,381,053,058,087,
103,045,647,646,077,478,607,332,837,886,489,189,607,902,780,864,616,997,888,
002,301,118,869,657,565,587,700,589,642,796,368,945,562,696,818,063,612,517,
560,375,491,424,921,140,953,433,701,652,208,315,176,211,127,295,419,217,288,
989,830,085,319,457,151,280,130,938,675,300,097,006,122,726,121,182,791,420,
525,376,600,931,679,687,493,145,550,187,925,301,492,339,158,186,025,578,547,
435,488,123,131,184,520,352,266,437,540,364,530,143,165,060,333,024,405,885,
351,300,091,578,663,037,715,717,810,684,348,095,329,278,307,105,612,213,453,
406,671,558,220,677,017,593,851,836,814,747,180,366,115,270,682,227,619,868,
882,209,371,614,286,735,927,643,661,512,438,116,710,657,261,909,655,636,893,
487,533,525,589,434,322,948,151,319,634,890,738,230,372,410,025,037,435,938,
351,754,743,644,005,660,197,117,502,059,663,746,357,042,000,395,613,564,545,
098,724,471,963,976,127,316,275,175,687,092,326,926,280,911,637,972,060,042,
577,670,677,338,255,430,289,325,302,861,102,127,355,215,364,859,750,314,741,
076,436,268,546,888,606,928,299,134,544,039,384,544,903,840,038,032,872,248,
734,704,255,909,606,148,008,953,083,245,062,731,452,625,458,294,002,759,935,
122,294,545,361,630,314,126,615,774,441,764,099,866,032,381,916,178,449,570,
465,377,569,652,195,711,687,425,996,070,256,962,164,270,144,692,725,600,171,
817,414,167,108,026,639,245,154,866,398,886,043,825,446,402,106,565,862,282,
839,891,820,628,156,358,310,955,972,996,893,566,358,888,202,085,828,484,810,
997,340,467,722,221,826,976,012,369,129,632,311,492,787,001,997,502,876,718,
716,521,286,389,217,283,305,965,974,808,231,869,357,448,322,541,996,692,780,
806,406,962,404,877,109,385,518,019,773,730,030,612,133,293,326,139,684,080,
114,922,116,819,601,970,561,038,028,180,675,324,783,111,369,971,566,902,783,
339,384,287,452,158,849,275,964,049,426,455,050,703,843,244,958,786,401,312,
411,143,738,699,676,340,189,870,457,810,556,617,161,229,906,735,488,311,355,
776,516,796,387,550,227,326,077,110,207,169,103,888,055,549,040,763,072,189,
255,753,473,339,863,573,957,184,137,467,134,566,437,524,608,095,466,665,956,
065,616,991,776,673,621,968,792,447,639,659,607,572,583,357,189,641,193,067,
131,298,158,306,108,929,578,512,563,699,208,229,185,140,060,467,477,547,363,
010,374,082,171,308,146,622,725,282,184,117,744,695,984,284,651,509,832,214,
113,227,940,923,166,750,829,695,757,467,295,424,609,817,986,514,304,191,216,
953,329,138,435,538,689,799,016,015,422,245,238,513,502,259,875,210,195,255,
441,641,893,594,666,694,862,702,422,897,006,079,892,764,426,785,471,968,948,
569,315,037,037,238,472,627,339,672,226,148,912,655,794,355,286,823,635,272,
696,774,102,809,675,398,230,420,710,232,477,324,474,039,129,056,893,300,815,
241,535,863,076,046,354,701,189,698,715,914,917,100,517,831,354,509,170,046,
047,551,222,221,897,016,510,279,766,029,308,562,089,094,027,202,879,971,897,
382,949,467,321,462,802,016,409,339,918,657,711,297,255,844,902,753,658,720,
264,833,055,526,258,307,150,004,107,967,582,821,064,220,114,880,020,578,904,
457,819,558,677,646,469,714,542,739,041,132,648,035,169,388,313,910,013,978,
636,214,025,312,004,552,944,194,816,257,425,614,703,097,253,823,291,812,148,
872,402,949,541,281,297,615,636,650,882,514,960,888,014,868,304,746,799,318,
711,256,446,517,956,333,904,588,399,642,630,974,257,969,637,481,847,422,073,
312,359,389,916,760,035,069,777,673,247,780,588,098,141,909,157,713,565,618,
737,260,759,660,817,033,942,963,717,999,348,317,825,940,632,788,229,198,555,
773,857,207,452,830,573,160,671,378,088,932,524,364,203,015,933,733,452,714,
646,930,407,828,309,593,554,091,843,341,578,491,022,335,036,722,186,544,856,
646,692,157,779,514,021,180,346,218,462,171,823,727,754,257,445,424,972,412,
402,797,396,944,508,865,947,074,107,782,690,540,795,293,184,930,162,200,777,
093,427,553,304,644,588,566,332,458,721,945,558,189,771,122,769,226,882,417,
554,232,449,498,957,349,239,775,408,497,484,666,012,659,313,855,820,503,374,
387,879,081,158,534,579,783,430,893,592,624,395,129,381,156,086,915,640,915,
871,565,752,938,103,073,244,872,281,791,782,487,176,722,038,718,664,790,954,
280,899,753,957,595,808,470,109,211,575,913,182,909,359,870,725,533,838,669,
144,312,246,740,242,820,272,756,914,831,025,031,629,573,824,247,159,156,603,
283,764,203,509,386,382,331,101,855,168,796,810,454,556,780,333,677,458,348,
635,795,085,973,951,826,233,233,787,891,969,912,631,815,508,724,614,137,158,
878,306,518,863,906,002,440,038,698,914,348,400,607,447,906,920,538,252,001,
549,159,593,799,900,570,082,447,689,641,157,619,163,894,131,796,298,135,882,
209,134,619,972,444,123,160,398,609,683,043,108,130,747,657,090,392,127,892,
357,248,975,753,469,444,022,937,665,617,651,964,849,324,064,965,320,477,405,
733,643,785,525,513,599,107,710,306,273,979,369,900,581,656,385,347,691,830,
986,223,737,017,879,823,216,077,842,365,929,567,346,626,249,028,744,896,256,
182,819,846,934,555,311,980,137,948,679,658,780,505,561,718,720,489,167,606,
969,217,262,285,725,137,329,616,112,831,081,001,037,140,945,359,035,467,764,
537,224,551,729,370,610,042,656,327,893,346,472,429,822,353,675,421,457,949,
224,570,561,133,930,164,724,737,440,200,286,739,651,210,637,365,387,011,367,
493,361,252,062,630,075,360,935,962,838,025,674,259,672,456,766,764,203,823,
474,668,131,985,130,284,255,837,332,091,494,873,545,658,751,059,314,606,322,
334,177,317,305,833,554,878,331,279,581,145,924,477,899,550,515,704,751,358,
457,811,911,144,637,985,126,397,674,874,889,853,041,679,574,954,660,508,377,
445,583,840,839,645,883,475,075,118,425,588,191,527,565,907,970,897,223,718,
310,094,556,543,650,271,073,101,985,192,808,728,255,722,042,983,838,991,709,
162,520,409,060,954,332,212,889,764,912,856,137,815,601,755,404,600,761,655,
353,852,058,226,984,913,603,961,402,333,384,393,554,938,657,210,654,340,618,
550,600,848,038,074,537,369,725,713,812,127,288,512,309,585,319,065,421,832,
079,501,149,516,645,401,697,746,687,138,229,029,973,149,269,192,147,420,637,
590,755,183,636,492,259,334,744,330,713,134,016,258,607,336,319,179,685,058,
532,854,499,359,925,199,512,402,845,876,802,564,203,205,364,958,965,023,706,
668,836,247,484,077,102,291,266,875,271,517,827,317,222,084,046,615,900,930,
496,124,275,675,140,955,697,359,649,635,204,108,782,725,615,400,872,676,460,
225,365,650,388,277,901,691,881,718,655,343,387,635,976,433,450,430,978,393,
368,923,671,618,864,791,678,153,288,349,544,263,393,639,827,718,919,955,021,
998,515,375,807,303,524,709,697,728,972,412,979,751,952,208,993,892,563,561,
599,126,944,590,793,881,753,219,710,132,487,845,049,121,901,035,978,434,792,
089,555,337,514,114,152,129,182,227,648,745,032,877,635,131,752,747,950,570,
325,453,185,394,327,595,105,431,555,066,237,377,303,137,723,604,324,751,553,
463,569,572,459,335,276,753,122,563,138,365,277,615,492,562,601,870,650,583,
325,500,964,703,453,339,652,095,541,150,758,637,975,212,057,669,746,381,296,
740,296,738,466,699,808,485,551,627,796,908,492,078,299,058,129,907,202,679,
059,497,960,694,603,571,259,644,674,693,131,722,083,193,472,414,792,731,493,
623,745,766,415,527,559,242,533,012,263,230,015,571,179,607,312,861,541,048,
382,698,700,648,980,484,398,442,073,759,064,764,594,746,795,569,558,945,667,
301,365,418,251,897,128,515,876,924,779,472,331,832,428,215,430,917,286,482,
935,797,594,153,270,583,970,911,165,944,682,047,512,252,738,112,202,475,228,
000,130,442,323,734,403,500,782,221,037,880,323,904,135,575,756,744,125,278,
825,150,200,821,882,077,243,678,988,040,580,081,725,200,312,065,646,689,524,
910,535,097,052,776,624,014,766,339,570,115,483,583,855,630,972,597,401,114,
890,328,676,997,778,351,481,974,408,768,638,629,512,278,517,887,142,660,647,
560,403,885,249,793,884,012,037,172,894,423,555,642,238,783,507,258,710,994,
515,299,763,298,754,565,055,735,775,544,857,556,145,221,799,416,115,809,138,
186,184,495,399,855,228,276,578,457,422,872,294,653,272,460,037,222,130,268,
116,049,991,656,946,879,349,842,129,486,784,739,193,995,212,994,057,390,926,
690,005,597,727,312,868,131,181,349,413,268,519,074,871,356,570,533,739,609,
840,050,902,766,259,648,841,414,202,775,046,397,344,329,997,965,062,077,586,
232,410,912,590,198,617,932,562,620,122,956,051,004,636,499,791,352,569,944,
328,618,212,993,809,261,027,093,353,683,175,075,350,988,364,325,222,707,112,
289,645,554,516,588,900,998,834,498,315,304,764,204,609,024,574,984,271,089,
822,566,413,976,510,846,500,909,368,674,640,985,940,784,333,597,672,214,778,
284,619,110,159,867,365,028,688,074,459,648,707,054,420,635,269,064,235,738,
131,592,214,045,598,123,621,941,812,508,732,821,848,259,569,705,900,696,203,
192,643,980,150,908,501,973,031,284,150,058,322,054,526,172,919,124,548,064,
747,759,961,802,160,042,650,904,850,223,303,424,517,054,427,770,154,825,694,
676,103,031,470,566,485,889,963,097,070,004,774,525,149,762,838,844,075,810,
610,990,337,474,593,740,556,724,191,542,387,730,368,127,961,384,480,454,669,
308,523,575,061,380,637,161,680,190,047,065,990,700,234,168,989,292,515,045,
640,004,768,106,010,750,693,282,273,131,061,378,801,456,897,351,382,924,224,
830,954,780,987,393,684,449,500,725,900,495,139,137,277,325,260,839,037,337,
427,814,406,651,784,075,218,491,847,857,569,767,886,459,363,433,047,394,928,
418,693,118,872,954,047,527,085,001,046,161,286,783,606,490,036,676,462,654,
650,443,082,168,993,851,313,326,340,096,372,873,212,199,628,292,886,716,333,
493,635,006,823,052,577,973,869,645,057,799,900,436,428,172,608,473,751,566,
652,974,594,059,439,989,267,532,063,703,126,637,366,933,634,157,034,904,193,
761,408,517,506,012,009,089,022,316,880,801,570,600,109,264,046,214,769,556,
737,180,631,030,496,875,552,089,821,692,571,850,158,049,931,649,438,346,483,
721,431,121,221,724,734,881,427,496,480,505,262,220,707,210,191,101,747,354,
517,024,155,650,086,076,188,633,328,663,918,290,094,829,287,215,133,992,685,
106,698,593,193,523,740,747,863,935,258,259,932,649,103,355,486,162,777,692,
823,328,302,877,852,449,750,397,621,922,486,461,921,874,687,147,864,406,632,
049,475,706,358,188,836,465,985,205,282,441,093,773,356,275,026,418,993,483,
509,820,602,761,980,436,170,089,745,577,490,274,813,567,199,980,276,027,305,
293,409,761,742,471,596,574,947,889,090,286,978,545,970,862,723,682,374,042,
023,678,791,218,857,012,072,315,580,101,376,786,551,503,622,975,468,530,644,
064,682,976,120,671,100,733,192,984,654,590,507,720,516,259,297,930,862,796,
022,679,973,797,102,946,217,572,795,566,321,204,908,985,694,922,604,118,556,
730,094,545,767,675,872,880,780,513,723,140,342,971,650,391,195,007,911,710,
266,708,984,027,383,136,924,210,583,280,629,376,996,748,480,342,388,654,219,
787,763,399,008,744,013,362,083,861,009,062,575,533,546,804,710,812,195,647,
799,510,159,333,878,472,208,244,451,427,977,951,123,953,974,793,147,662,816,
592,037,102,588,880,877,875,566,056,258,264,557,543,310,354,050,641,003,684,
801,060,628,344,788,410,118,212,072,076,115,025,770,262,542,179,289,618,351,
519,292,610,474,527,101,856,168,522,809,589,826,537,910,744,260,979,580,383,
962,939,716,351,865,740,386,117,390,643,046,774,328,949,699,195,985,532,282,
258,545,234,526,205,293,893,600,093,820,853,963,943,261,589,207,039,366,686,
176,763,905,435,443,175,190,219,537,627,435,390,385,116,215,393,629,293,303,
101,566,175,638,188,150,347,587,394,190,335,831,414,527,006,802,210,798,426,
241,709,349,528,133,328,376,709,530,186,184,382,838,309,316,197,718,783,000,
684,168,386,837,364,353,265,207,924,753,356,655,151,125,031,774,631,579,524,
362,834,380,441,934,615,133,361,114,576,315,195,445,529,900,772,750,082,857,
973,815,893,549,771,663,058,342,981,142,916,083,992,411,912,756,456,734,798,
658,538,158,868,097,258,213,017,549,052,289,904,671,213,021,761,467,546,039,
993,529,241,567,446,545,490,515,751,534,572,112,598,442,690,495,164,518,853,
773,318,549,797,666,279,658,858,998,040,678,204,002,289,694,109,574,766,110,
341,511,984,114,143,993,304,594,020,980,156,202,792,610,455,834,737,471,662,
904,017,052,022,085,654,692,277,753,347,941,560,928,867,533,541,745,417,869,
217,124,946,657,163,146,911,293,204,342,419,941,744,293,273,908,722,975,919,
556,413,373,267,977,455,460,321,103,318,502,635,766,448,568,813,852,018,257,
135,970,908,247,631,980,891,231,571,146,124,730,532,676,415,271,170,293,942,
986,032,082,809,168,581,170,822,936,687,053,009,984,529,616,731,160,656,823,
610,276,188,905,591,194,413,653,654,702,462,557,866,738,543,167,327,915,624,
931,123,603,080,775,468,977,543,186,492,026,043,964,906,412,224,547,848,144,
514,882,443,560,108,398,210,937,292,670,936,093,367,980,728,838,731,413,179,
092,690,518,976,310,073,846,521,324,263,038,970,335,591,457,622,555,953,513,
495,059,247,868,650,673,748,853,821,925,174,057,789,033,032,478,183,281,404,
662,267,795,449,503,724,796,415,743,686,341,531,857,215,929,753,584,406,767,
077,908,821,197,385,149,443,598,562,852,253,040,306,711,737,545,378,421,560,
896,469,970,538,421,618,340,016,879,316,368,241,856,132,841,658,355,166,292,
151,129,983,019,063,111,182,128,244,039,965,301,921,974,921,586,882,745,405,
727,542,226,816,170,242,506,781,544,105,220,135,466,699,683,558,677,950,374,
458,179,444,966,904,277,993,613,146,792,478,483,337,045,866,397,600,887,122,
738,816,741,253,448,417,667,475,583,385,788,717,798,840,434,810,439,611,281,
808,235,296,815,821,126,171,433,174,409,865,440,720,765,088,589,268,288,042,
197,837,207,044,856,001,701,328,604,988,472,202,508,444,716,673,990,836,343,
614,262,382,879,366,283,641,280,456,944,669,034,548,954,572,480,742,342,970,
396,952,162,927,638,830,449,493,761,538,414,391,212,427,309,215,261,731,850,
448,090,353,621,651,238,546,560,368,807,111,816,713,641,290,279,616,140,630,
234,359,772,497,105,900,573,624,461,156,311,306,418,130,614,556,960,051,151,
316,091,347,550,194,976,775,742,273,061,815,676,308,041,238,568,309,611,525,
959,207,251,656,520,797,715,433,156,828,155,446,775,341,965,530,982,151,175,
008,920,529,892,580,994,233,078,863,603,260,654,248,535,469,011,848,320,355,
536,432,147,987,064,812,147,355,570,350,745,926,793,805,037,936,589,548,163,
560,095,149,817,589,142,329,039,223,407,517,633,708,542,784,962,994,188,010,
603,313,496,958,973,785,327,994,179,173,124,442,415,931,996,524,020,862,260,
577,478,371,009,795,328,353,094,218,214,714,524,260,676,430,298,028,996,742,
056,733,624,451,125,797,297,399,509,339,502,359,738,101,729,100,477,789,794,
027,713,528,866,715,682,633,795,902,608,515,330,139,584,268,728,993,276,863,
343,082,605,177,885,963,375,714,552,025,077,013,809,624,191,556,868,435,862,
115,769,179,501,070,009,237,585,651,844,173,229,252,081,741,981,317,875,143,
147,927,687,233,811,703,901,676,890,645,386,430,971,502,997,483,253,714,073,
559,358,647,566,215,721,026,187,168,114,322,859,092,934,263,206,393,112,523,
727,326,760,146,919,445,485,554,389,097,526,856,232,699,713,756,511,394,706,
384,105,450,153,462,268,621,697,100,766,557,042,359,446,009,897,208,747,990,
376,218,919,231,072,599,055,245,300,968,621,935,774,090,038,227,573,265,960,
617,044,967,606,057,291,314,475,985,951,316,462,937,210,452,657,740,384,521,
776,937,483,137,563,317,643,909,757,734,920,478,486,424,258,539,686,869,148,
015,088,747,281,029,271,366,180,183,191,632,076,637,657,909,424,675,761,996,
869,728,212,655,240,447,180,933,363,479,121,213,234,273,697,499,166,111,404,
904,191,090,853,908,314,810,600,199,566,165,086,600,588,941,551,781,626,053,
837,853,972,914,266,611,384,746,318,864,275,489,063,730,304,100,508,812,753,
417,567,394,701,504,599,964,476,674,307,844,787,302,496,095,993,245,928,491,
019,842,580,566,086,399,435,927,047,208,256,360,980,062,055,187,697,477,749,
050,890,731,206,660,823,426,501,399,386,111,562,619,843,964,894,472,042,834,
363,273,573,619,541,455,530,037,285,637,218,391,043,814,096,892,165,899,307,
200,327,646,314,347,374,231,172,372,237,262,631,032,229,241,564,085,238,623,
069,180,509,509,862,107,374,332,682,074,611,070,477,336,567,614,470,342,986,
702,178,904,824,261,637,274,516,626,279,726,053,632,080,806,858,446,884,890,
244,054,176,700,372,298,395,415,447,263,893,819,433,078,217,710,463,714,796,
369,757,883,816,527,291,226,500,295,611,041,520,378,124,895,677,898,055,758,
829,571,771,379,119,879,252,078,485,687,513,595,729,793,735,316,073,949,969,
579,623,700,092,041,766,716,001,562,566,573,772,400,487,542,976,585,074,557,
035,946,611,893,860,542,090,864,817,058,370,843,399,206,622,534,089,439,199,
037,334,591,763,252,412,008,228,992,408,156,313,015,758,446,000,573,029,771,
928,966,919,920,269,739,430,770,762,111,777,898,479,814,791,352,367,579,941,
172,306,827,534,733,367,637,230,206,065,647,990,628,927,498,156,712,447,110,
901,339,724,568,106,830,634,695,782,431,718,938,647,825,697,772,257,188,471,
650,491,113,646,903,459,175,125,024,017,788,701,352,384,374,551,307,668,224,
522,826,567,350,692,736,016,997,958,868,026,188,597,434,873,137,959,906,625,
888,687,570,930,012,681,984,743,452,078,344,598,372,047,466,369,988,332,299,
334,549,212,823,560,481,343,847,149,474,599,544,038,376,362,443,509,837,946,
314,768,208,657,011,645,460,844,054,688,228,288,126,279,374,197,070,669,961,
030,692,599,227,119,942,540,522,439,343,375,033,728,060,060,087,902,490,723,
897,802,443,614,707,053,612,812,604,977,599,714,251,449,321,222,426,212,945,
333,988,397,006,165,812,930,590,032,840,002,118,360,206,193,455,372,236,282,
828,578,865,427,994,734,812,378,986,325,025,131,999,551,093,531,500,219,785,
611,295,761,558,936,131,507,547,105,213,162,969,934,343,828,113,628,910,912,
308,162,017,789,675,495,776,878,195,305,615,840,181,120,240,975,595,179,591,
014,446,685,165,262,955,655,860,786,041,045,420,386,683,948,112,019,430,517,
084,514,018,169,292,747,339,212,548,910,043,736,599,521,234,050,293,278,283,
300,784,924,137,807,294,244,310,671,708,225,189,310,302,956,268,744,023,273,
360,303,660,434,924,811,005,991,066,603,183,744,196,821,783,691,527,268,907,
997,869,323,048,468,580,095,027,684,508,057,065,344,839,733,187,761,269,163,
014,148,513,933,291,015,487,429,238,779,939,654,764,626,130,350,917,867,232,
821,565,037,857,341,357,800,735,888,972,059,853,224,789,239,380,236,515,152,
324,805,306,401,486,477,596,443,456,583,088,999,730,071,567,833,453,078,927,
813,020,860,570,955,741,583,556,056,599,841,929,533,207,828,038,607,984,784,
366,869,326,177,852,989,680,185,630,329,943,069,682,536,280,665,913,294,968,
704,467,472,522,776,144,783,638,078,504,793,876,304,816,213,869,262,205,348,
322,147,792,607,413,755,686,195,254,724,294,732,439,904,737,261,224,754,701,
473,189,491,232,014,814,188,316,203,678,104,558,274,818,530,258,231,554,084,
752,638,375,499,549,443,441,990,265,568,997,825,640,078,903,588,793,638,371,
916,808,588,994,151,530,219,935,031,002,933,517,847,407,547,488,394,200,819,
776,830,353,637,389,936,412,391,743,853,351,673,226,332,802,830,460,293,676,
640,678,920,379,760,610,098,264,408,571,017,961,938,678,108,469,563,012,412,
099,749,403,720,221,594,589,343,313,217,572,273,688,880,471,066,300,254,908,
832,978,582,308,624,622,361,736,741,438,716,469,422,868,803,920,591,058,588,
071,371,645,716,394,009,018,099,016,215,281,274,339,470,969,785,287,207,421,
276,104,895,146,018,682,167,016,427,250,820,312,930,537,895,763,873,376,922,
177,884,494,569,793,680,267,349,490,328,459,850,739,027,316,302,193,209,905,
950,876,234,437,424,267,508,823,658,485,176,289,228,862,125,515,008,030,820,
296,124,981,742,128,609,170,381,989,332,927,027,686,661,222,312,396,434,713,
047,206,738,134,831,700,292,915,689,831,766,148,291,692,266,469,732,641,311,
995,466,574,840,059,534,304,726,269,936,027,272,525,519,692,425,674,180,026,
414,521,539,847,868,445,658,662,909,881,697,981,907,535,826,394,363,048,903,
076,497,809,480,099,110,972,659,569,668,102,444,968,856,508,892,873,438,055,
221,315,123,331,464,984,689,864,652,356,163,692,273,049,724,605,389,392,015,
430,872,225,449,352,587,487,300,186,797,641,813,150,089,179,860,830,479,870,
294,359,172,375,412,914,683,079,264,326,196,254,820,165,375,415,882,653,996,
594,365,738,828,362,502,551,566,727,764,693,930,872,608,301,401,081,913,054,
671,243,857,889,617,188,949,955,534,615,755,715,042,515,724,894,787,431,417,
702,018,122,293,095,549,420,725,601,597,222,969,393,056,578,797,410,241,328,
503,299,704,851,863,392,710,443,500,727,636,575,261,038,826,710,540,362,291,
254,660,290,418,379,257,084,502,151,765,114,677,028,466,729,091,576,049,456,
609,465,510,439,817,099,443,118,949,674,551,210,389,830,718,286,442,994,595,
255,573,131,568,194,130,300,254,587,915,496,763,681,513,213,474,075,659,472,
045,179,446,380,175,218,123,368,679,196,237,951,023,463,867,754,379,564,437,
233,256,581,735,491,453,558,208,565,273,952,160,855,635,699,576,025,768,118,
277,150,933,981,751,933,909,468,511,306,813,184,979,877,716,613,786,446,163,
778,146,649,087,084,763,569,945,923,975,103,020,099,789,123,253,092,868,525,
384,203,161,114,511,526,372,576,708,937,860,246,348,897,258,019,374,266,094,
181,690,196,563,977,895,534,314,317,088,129,013,876,304,846,728,419,283,946,
820,071,504,500,174,257,632,485,602,440,790,664,954,871,770,854,019,491,715,
965,405,074,761,251,713,337,615,697,968,440,234,596,608,019,455,519,193,666,
645,683,287,145,631,798,454,373,676,375,619,549,308,038,574,836,639,431,641,
646,109,130,528,100,785,452,344,821,369,130,153,781,224,134,184,398,268,543,
276,107,472,152,291,978,614,362,915,579,118,730,090,919,414,867,678,931,420,
211,556,453,427,885,818,300,215,345,120,476,414,664,558,419,988,349,876,551,
296,430,775,328,645,483,516,385,404,123,031,333,442,331,937,066,739,218,593,
048,912,410,703,311,699,267,056,477,704,735,751,061,396,312,804,436,888,147,
423,551,263,340,642,297,450,139,944,084,508,464,015,898,754,785,656,254,917,
130,851,564,773,789,310,598,890,145,582,902,754,137,538,412,426,872,761,384,
617,809,585,430,292,316,942,969,576,247,895,202,464,535,376,092,372,740,232,
620,373,276,832,779,978,115,845,814,116,186,527,461,355,433,277,889,646,130,
037,275,379,329,970,775,902,591,823,379,573,922,980,111,694,789,712,185,630,
004,108,383,220,847,611,112,534,808,951,670,929,632,785,739,970,234,456,706,
963,565,456,081,442,922,492,284,618,242,473,163,422,707,083,539,705,867,761,
386,980,114,187,457,639,774,847,639,013,856,093,682,729,837,280,113,543,683,
724,920,263,494,937,967,432,132,834,164,157,232,441,952,272,878,139,681,620,
976,204,802,069,673,878,621,026,028,428,819,559,139,234,055,173,707,219,435,
676,865,531,242,862,990,886,329,568,876,915,715,697,581,965,153,985,550,109,
126,028,514,679,855,175,924,619,481,255,425,303,029,657,661,235,706,377,466,
144,063,035,229,842,521,355,176,712,722,661,367,587,909,317,558,619,611,892,
483,118,045,297,019,229,360,921,118,453,914,514,121,591,928,142,619,109,076,
388,129,075,389,143,104,755,420,021,277,492,865,901,456,503,798,509,301,670,
578,918,863,293,816,076,083,296,746,136,968,160,568,434,969,063,902,166,195,
804,332,591,824,618,068,419,475,615,046,041,193,034,125,625,914,989,942,548,
064,274,984,026,951,991,166,353,968,440,989,429,574,294,103,650,815,302,254,
829,955,723,193,535,497,360,193,784,437,640,406,465,756,484,055,897,028,215,
598,303,961,674,834,001,447,028,383,580,650,616,427,765,863,508,655,940,275,
025,865,135,002,860,515,553,529,991,204,207,347,243,621,018,178,233,372,423,
642,815,079,703,524,839,205,357,753,875,305,949,145,247,808,222,255,245,857,
544,530,487,884,663,362,230,704,385,523,452,995,925,269,671,333,974,042,180,
047,583,647,228,447,116,880,060,831,771,918,435,143,634,481,790,876,958,349,
860,333,943,178,448,553,251,944,553,927,872,025,544,913,813,272,573,564,635,
295,432,310,742,289,479,127,606,290,349,839,190,578,224,812,140,049,089,412,
719,176,682,762,069,977,146,122,274,116,195,280,667,470,719,237,176,332,205,
596,719,290,607,835,914,093,868,729,807,304,327,964,385,690,445,498,135,335,
211,899,846,820,204,167,624,553,580,838,842,014,420,629,219,785,861,827,982,
122,836,859,348,460,679,640,091,355,678,102,700,371,575,078,772,506,214,892,
989,700,669,842,372,282,640,109,513,473,096,532,396,529,562,285,210,803,740,
449,467,231,595,687,052,313,457,276,131,756,347,566,281,462,002,838,062,183,
537,473,571,246,113,120,886,930,773,659,661,489,945,286,943,693,278,188,250,
882,825,140,383,150,499,728,140,568,458,017,917,742,579,436,740,911,493,584,
358,232,062,354,885,955,760,880,717,128,146,761,539,631,785,650,206,471,981,
474,115,156,330,095,259,172,343,005,529,051,407,350,064,337,050,601,746,021,
767,330,133,879,421,332,613,774,577,545,842,626,436,133,381,654,166,575,491,
686,265,220,952,516,189,631,224,342,574,981,003,455,798,453,475,916,241,375,
431,826,933,398,186,366,424,488,406,613,776,634,537,289,265,061,337,352,463,
880,749,961,190,841,707,489,445,580,299,120,181,009,019,760,958,732,081,778,
048,291,715,714,465,797,142,702,172,318,817,277,878,365,947,325,952,500,336,
121,856,953,427,753,441,810,762,142,987,686,561,257,318,147,056,443,588,216,
135,802,904,838,274,142,827,299,355,570,647,360,782,798,597,503,383,232,250,
917,705,415,782,082,163,266,230,822,731,859,420,619,410,116,146,565,771,072,
223,254,712,536,723,727,036,820,539,362,524,162,314,837,969,715,273,885,011,
818,948,613,475,824,845,728,864,817,878,021,308,442,632,293,395,992,331,450,
346,498,228,264,458,437,330,711,572,727,927,801,842,828,789,524,398,070,381,
663,468,869,900,242,311,792,981,654,748,103,134,925,031,807,997,380,040,884,
801,780,584,574,742,796,442,333,143,766,091,022,964,217,390,774,008,985,247,
511,689,669,966,464,779,601,873,676,643,150,412,009,903,867,997,130,477,480,
911,712,488,277,517,177,997,750,990,453,079,146,482,106,555,215,188,025,490,
166,985,936,781,732,567,194,251,651,784,722,293,910,956,362,145,119,415,885,
542,596,286,548,655,286,063,072,414,136,084,957,616,401,304,392,729,788,385,
591,711,934,455,217,415,241,422,430,592,665,618,451,694,487,863,831,103,574,
490,097,146,804,848,319,902,647,941,623,982,119,884,070,424,601,145,658,097,
354,368,437,393,988,118,748,940,273,828,738,480,902,904,925,616,600,829,821,
344,220,255,902,492,502,136,288,763,123,728,575,884,916,753,343,730,025,473,
442,449,091,299,820,485,702,834,731,755,540,258,378,133,263,470,903,274,061,
638,261,249,577,450,702,587,387,089,221,044,410,250,558,632,373,610,112,422,
586,206,009,874,549,292,560,643,786,672,652,697,019,195,668,873,377,594,641,
786,091,451,534,767,043,318,491,233,737,229,445,295,013,243,641,736,482,675,
771,405,187,653,866,746,979,171,515,098,887,260,913,878,877,562,721,008,510,
797,150,996,780,826,009,406,906,778,345,919,963,736,509,453,524,585,547,968,
823,627,714,612,153,511,599,957,511,362,829,755,982,810,362,062,801,959,985,
444,390,559,727,070,690,346,600,914,931,470,059,338,252,699,017,350,155,202,
099,942,591,246,284,210,090,569,434,932,435,400,729,311,421,691,417,391,063,
676,576,515,707,246,046,968,893,796,267,294,627,936,985,333,552,307,691,924,
084,976,077,300,641,795,669,718,182,270,228,658,895,587,111,023,329,524,421,
810,237,499,283,310,741,114,619,676,751,222,909,450,907,649,716,250,233,805,
430,458,438,206,252,892,710,531,259,389,808,338,551,401,273,122,934,953,888,
115,152,418,904,635,688,493,039,557,905,847,159,582,648,755,987,151,440,837,
871,863,351,097,229,656,971,642,572,707,181,097,280,239,882,684,695,306,286,
074,145,575,759,441,215,899,561,374,873,660,251,443,387,260,948,607,724,837,
735,243,744,203,192,484,898,814,990,024,658,158,134,176,910,749,833,308,751,
573,497,487,715,835,789,906,607,091,357,069,375,936,319,630,547,763,282,508,
194,036,480,544,015,287,185,286,596,122,240,791,361,746,892,162,313,863,057,
972,511,589,205,236,108,096,178,381,995,024,448,005,984,863,375,266,632,283,
462,310,339,808,903,556,127,640,996,031,642,710,712,999,028,596,493,934,736,
511,780,337,447,001,235,408,219,861,073,907,440,895,949,519,024,885,594,264,
498,983,021,512,273,233,173,508,913,079,440,356,766,930,019,768,579,374,446,
553,044,241,531,563,333,168,557,774,082,479,906,136,625,657,780,160,085,785,
347,424,485,016,671,071,061,366,101,852,079,149,268,836,849,188,973,738,685,
989,766,068,803,324,081,787,891,453,418,310,493,197,462,961,687,169,475,043,
933,996,781,253,129,465,355,786,248,346,422,759,362,898,244,369,120,110,025,
959,421,060,515,430,021,605,556,445,001,499,359,849,765,736,152,322,759,533,
150,853,999,348,253,400,272,014,114,189,505,837,540,316,448,787,189,941,936,
882,525,068,910,980,258,415,443,929,477,134,022,830,687,573,058,082,080,872,
302,214,148,259,743,660,411,336,870,761,841,838,878,771,332,600,899,848,399,
990,062,762,347,753,113,547,222,502,621,377,556,748,486,482,061,906,516,205,
479,939,362,087,798,638,157,188,734,175,683,358,958,195,192,111,816,249,087,
589,241,561,266,491,118,295,478,401,460,201,210,697,650,263,661,697,836,650,
036,957,443,943,062,013,921,966,999,159,625,339,213,262,474,570,056,498,497,
846,552,339,906,909,374,478,472,243,307,919,667,348,811,371,928,296,395,426,
554,285,761,106,112,095,402,688,576,378,898,017,647,563,974,777,723,501,603,
374,092,013,248,249,400,799,257,622,309,438,345,573,257,681,855,695,586,324,
515,432,534,771,394,111,633,403,107,587,871,370,949,893,442,279,265,400,892,
620,443,832,440,808,376,099,151,047,425,209,602,599,327,576,053,517,175,237,
968,596,704,785,434,533,321,965,455,765,518,511,511,197,381,433,634,784,279,
095,287,091,398,504,654,518,159,754,658,478,688,436,840,153,147,560,180,316,
451,899,628,629,578,020,296,183,929,136,841,450,729,386,297,767,761,644,806,
196,602,532,457,747,282,238,640,404,554,699,716,487,894,013,831,864,953,234,
883,460,420,610,457,990,274,603,064,171,974,237,367,379,212,821,725,281,376,
345,041,811,725,628,155,348,438,924,432,632,883,243,004,767,089,596,307,380,
607,058,342,985,820,654,658,809,501,917,846,675,018,106,002,429,890,104,334,
833,236,159,857,169,140,905,361,166,677,077,896,503,083,426,025,306,101,455,
509,092,145,650,549,152,023,616,048,221,993,421,384,812,842,808,434,191,819,
927,779,996,417,207,944,347,271,210,807,961,870,924,546,418,153,956,539,920,
646,029,299,786,719,517,857,452,686,741,818,554,040,406,717,305,079,720,707,
289,554,905,269,176,011,253,106,334,770,455,974,113,185,028,490,064,325,515,
875,390,013,856,672,340,359,248,380,564,354,216,377,499,832,577,240,310,390,
442,972,035,521,985,236,903,686,727,338,899,625,397,492,196,326,931,399,793,
014,538,649,825,997,201,214,714,226,391,763,522,160,874,958,820,400,299,208,
732,855,756,692,004,358,777,134,668,632,230,177,168,928,153,386,391,129,795,
599,497,070,865,544,184,488,785,583,405,149,613,865,794,675,491,892,202,107,
138,018,061,256,751,201,222,930,327,157,711,734,222,301,459,983,389,807,206,
396,555,700,984,614,206,594,971,169,314,864,277,591,346,649,351,487,325,515,
558,260,815,187,900,009,485,663,286,292,056,430,693,785,949,041,947,080,099,
610,013,293,551,333,350,583,153,881,037,943,038,262,526,164,480,096,580,678,
755,420,169,094,879,102,486,065,759,900,878,495,744,895,507,275,366,247,192,
414,549,711,181,910,511,155,409,732,607,500,860,429,696,712,125,654,832,139,
569,667,877,424,030,321,898,167,085,681,559,651,407,782,077,569,973,341,445,
720,897,899,477,264,656,787,723,162,940,321,164,898,303,611,513,377,830,926,
134,140,136,086,301,640,671,793,770,997,159,406,408,287,251,970,967,851,977,
758,121,284,693,193,378,846,387,447,189,144,820,698,166,917,000,393,968,473,
536,934,598,221,269,865,852,877,153,337,836,703,190,027,522,295,559,591,637,
598,566,651,627,242,850,636,182,386,711,586,365,586,328,044,492,642,605,754,
351,949,029,017,324,874,226,323,072,439,050,175,185,387,665,123,396,250,544,
752,070,928,312,939,784,911,149,532,223,771,405,810,882,833,535,202,355,608,
302,146,182,998,467,025,232,564,492,669,478,885,013,891,855,337,679,600,883,
591,189,401,579,863,496,190,250,210,226,085,045,261,245,424,188,940,417,269,
925,614,957,878,458,278,617,127,804,709,919,854,376,174,811,542,650,219,401,
961,589,190,920,258,640,770,730,808,124,102,929,540,428,320,603,073,406,616,
940,378,976,982,652,340,828,942,760,120,507,025,044,696,864,263,249,990,591,
527,325,120,146,478,060,895,997,524,325,519,646,577,509,907,191,928,156,812,
104,821,521,344,187,632,660,972,413,113,875,105,569,032,947,657,004,342,564,
590,969,936,231,919,560,034,996,923,130,861,347,276,469,171,127,547,264,460,
364,975,742,830,390,921,341,672,000,968,601,716,675,614,575,561,717,485,016,
682,771,152,011,745,349,456,432,004,592,176,246,247,343,601,228,607,429,194,
426,515,977,127,888,060,833,143,069,879,520,310,144,366,341,170,280,403,140,
015,007,325,662,291,338,061,955,925,716,315,516,604,229,018,549,879,235,392,
297,029,705,144,524,867,347,679,104,529,783,222,638,773,313,179,938,414,012,
348,238,814,295,238,898,696,306,867,751,888,168,564,917,499,135,987,916,749,
171,375,001,648,393,526,954,501,771,064,280,479,610,918,700,535,264,546,610,
196,363,522,638,384,484,777,604,946,492,072,980,622,059,918,462,324,561,576,
651,283,275,766,134,580,421,750,857,279,007,848,962,666,541,752,805,739,588,
354,244,613,074,458,866,132,710,718,541,595,744,522,584,546,291,789,542,113,
896,871,728,680,281,342,472,109,897,784,135,255,188,173,707,840,280,766,896,
723,272,256,943,613,248,446,381,500,749,127,907,315,901,671,462,670,188,221,
788,224,423,716,471,338,934,830,192,338,611,386,189,878,079,335,774,072,493,
057,557,459,054,269,584,346,213,105,261,199,739,075,698,649,548,510,913,852,
884,398,524,529,197,678,637,696,210,822,521,068,059,232,739,286,593,693,475,
289,577,916,910,620,256,701,228,341,700,057,293,951,298,233,990,247,225,313,
438,437,679,158,695,727,901,944,963,154,749,636,201,951,752,539,454,885,419,
991,549,720,148,033,682,886,046,674,148,748,790,380,336,121,996,467,881,581,
117,556,224,051,980,855,387,994,305,766,813,902,439,795,812,744,296,578,483,
929,688,782,645,073,331,111,005,240,183,119,170,271,766,648,605,332,909,444,
350,022,749,159,931,227,064,016,344,405,135,568,033,399,672,762,933,778,959,
740,253,204,300,518,994,898,336,125,772,840,006,950,390,498,966,246,653,726,
573,876,653,365,052,929,129,561,284,883,437,494,309,708,592,555,932,231,582,
576,821,091,734,181,693,571,810,129,635,751,509,715,889,288,727,431,209,292,
975,406,982,664,126,245,859,082,501,854,571,698,680,748,108,882,124,840,295,
970,651,265,693,754,135,429,495,833,178,372,003,668,161,063,465,586,691,781,
846,173,809,693,559,989,633,279,493,702,000,777,052,219,395,926,330,471,276,
397,662,471,080,468,380,475,250,824,496,148,573,889,542,366,672,170,560,251,
886,263,577,802,515,340,806,292,468,947,548,875,708,955,392,401,004,565,718,
629,787,571,000,526,398,210,248,475,910,532,497,553,811,107,838,346,288,793,
138,390,100,826,044,735,425,642,322,507,790,857,862,869,179,752,274,119,714,
438,670,451,873,058,075,944,621,520,360,087,046,299,099,843,057,494,360,587,
683,782,561,824,505,289,980,053,668,311,817,874,190,679,214,142,796,076,167,
490,824,027,661,686,989,912,512,587,618,425,772,758,733,383,322,389,243,766,
744,070,768,983,157,527,610,145,079,246,891,184,534,167,572,178,190,050,497,
582,934,901,068,876,314,574,813,903,325,567,550,666,016,271,727,974,005,408,
462,249,910,060,951,080,858,834,803,598,320,985,778,413,329,755,650,740,201,
996,648,716,012,845,536,215,943,423,644,058,863,773,441,287,370,591,982,064,
606,438,174,176,577,613,666,030,501,988,461,464,204,193,952,178,615,914,595,
073,262,712,835,935,660,877,393,539,467,616,858,320,617,576,911,944,878,039,
765,687,502,307,634,548,355,900,080,423,165,971,044,847,962,258,378,395,550,
103,562,649,128,323,681,684,092,559,460,239,578,474,492,274,223,444,876,493,
228,815,182,779,583,255,079,673,633,996,334,789,359,777,456,505,802,019,557,
142,847,101,378,607,843,784,449,359,538,416,932,373,755,004,121,124,474,612,
850,724,211,205,364,573,439,213,383,317,403,962,528,072,932,455,669,038,289,
517,182,844,513,232,464,577,806,172,644,187,131,950,034,874,439,871,457,726,
310,190,151,842,045,124,457,155,726,892,386,518,657,493,192,144,405,859,848,
284,776,276,791,162,323,518,686,574,187,978,224,843,680,566,982,053,102,643,
653,079,407,467,738,924,040,131,564,905,547,013,046,506,580,539,035,582,983,
461,229,677,475,548,032,103,364,413,577,210,563,335,330,754,962,894,594,905,
810,989,931,590,748,806,186,483,564,631,839,539,986,901,863,038,729,888,406,
474,923,909,591,270,978,913,057,754,626,100,517,129,824,442,659,966,510,892,
239,844,255,896,210,916,995,343,493,029,437,201,844,580,022,341,597,332,936,
282,070,461,491,288,042,201,815,190,099,532,323,424,356,237,493,346,450,383,
378,430,806,134,403,690,948,191,596,272,276,066,705,829,988,197,568,792,728,
735,524,117,741,015,362,846,415,292,693,087,981,054,482,036,156,138,325,988,
594,241,826,029,574,017,454,534,628,924,549,638,365,911,750,135,155,335,620,
298,894,450,066,204,620,036,422,199,463,591,882,872,984,516,321,114,382,909,
883,436,073,652,730,413,755,588,894,198,335,964,216,621,930,949,343,689,079,
376,011,604,575,281,445,187,550,725,996,648,922,845,334,711,019,856,596,926,
991,447,269,890,511,497,201,488,269,274,788,787,323,602,941,767,934,202,546,
605,730,952,828,376,433,293,142,764,682,719,977,902,829,902,756,871,479,532,
097,981,745,308,671,683,617,996,638,072,241,712,037,347,926,778,828,842,894,
521,519,705,832,691,147,502,582,619,014,613,274,711,832,059,373,856,016,846,
238,591,274,738,049,703,393,036,450,117,408,243,770,963,968,988,946,422,417,
468,211,178,077,577,489,088,801,267,234,286,363,534,419,671,519,289,615,347,
078,913,870,788,810,627,547,494,200,381,029,490,666,871,892,753,034,883,276,
610,898,457,481,631,747,160,883,118,723,770,197,463,840,557,489,578,421,748,
001,255,586,298,370,097,109,729,636,793,280,842,734,366,060,123,578,527,718,
422,792,531,426,371,082,501,098,799,621,695,262,041,813,412,376,323,112,128,
567,184,183,982,598,565,309,463,134,865,280,269,568,087,007,879,763,766,045,
983,677,522,587,168,485,528,352,320,558,313,353,409,576,012,793,456,318,438,
217,450,999,625,224,988,458,094,664,602,427,980,782,990,494,177,323,317,006,
761,891,296,749,340,838,254,602,252,086,824,403,057,994,120,879,245,030,644,
981,837,543,396,827,462,737,820,495,696,585,487,421,860,800,055,481,785,336,
566,478,923,272,406,135,580,541,331,283,159,436,832,616,949,609,598,171,447,
915,888,297,599,111,215,392,236,920,299,018,787,971,056,594,939,900,479,623,
674,119,529,152,127,026,162,882,466,986,286,742,271,001,436,857,956,797,789,
492,434,900,836,653,185,793,014,333,842,076,617,576,134,004,938,452,510,880,
382,147,351,531,254,325,577,042,679,190,566,296,347,868,335,421,219,467,819,
995,962,632,793,467,525,506,129,036,950,858,149,208,072,830,687,164,600,004,
287,793,012,402,922,754,579,624,555,223,751,225,350,575,304,790,395,194,730,
794,218,496,968,994,567,163,049,999,763,286,713,331,369,196,228,426,370,334,
242,963,254,851,457,051,754,735,566,573,667,171,954,506,077,116,670,747,209,
204,547,497,952,335,591,526,641,459,796,620,834,884,393,402,201,021,136,965,
133,704,721,353,389,503,333,760,983,218,615,876,791,284,556,275,027,043,638,
551,692,433,543,386,010,642,202,918,543,381,754,497,740,064,782,479,368,184,
412,058,705,575,050,335,384,744,739,257,034,637,569,257,193,540,455,675,099,
781,599,167,196,333,867,288,878,600,523,522,967,411,111,531,401,283,060,422,
832,634,949,326,747,811,079,002,489,799,883,775,285,932,024,190,941,603,408,
295,653,226,822,634,572,654,157,173,153,147,322,922,408,899,667,681,691,745,
293,311,526,173,667,641,852,075,540,004,721,753,183,931,132,759,831,422,676,
264,843,927,705,642,943,266,625,370,495,951,374,185,945,626,896,153,474,983,
571,708,951,543,253,518,810,985,748,067,208,689,766,737,112,586,871,695,406,
186,462,423,024,019,765,042,341,170,441,418,655,083,283,019,753,979,120,460,
596,118,865,953,130,783,730,984,928,108,391,863,244,815,390,758,106,782,843,
307,227,022,117,523,849,263,283,142,460,747,417,282,262,843,945,125,494,828,
150,670,836,974,583,862,168,703,842,832,115,663,645,847,899,881,089,812,898,
097,159,345,430,099,324,576,862,871,404,416,428,956,936,561,022,749,581,776,
178,992,411,056,793,533,456,164,427,012,873,698,371,474,369,531,589,546,253,
257,765,480,858,616,699,502,625,304,637,574,091,163,869,003,188,877,755,467,
656,857,713,619,081,640,897,115,318,491,363,655,984,357,547,933,479,616,014,
936,733,145,789,916,922,710,862,638,555,245,705,008,084,693,945,445,687,512,
640,382,636,390,006,304,650,588,314,479,316,746,642,885,219,847,670,318,631,
106,274,095,255,625,126,102,980,276,580,015,135,476,944,451,903,622,040,772,
856,731,850,659,322,904,062,266,677,895,977,723,392,073,214,858,743,283,665,
525,113,877,100,677,910,766,729,765,554,483,057,956,751,821,083,406,066,683,
387,765,152,430,544,134,001,527,230,193,758,935,806,305,339,495,991,623,363,
979,882,957,857,458,447,309,939,580,463,813,589,925,105,882,771,849,438,223,
546,283,844,277,133,903,203,519,991,308,715,523,721,020,069,944,218,597,210,
515,406,574,523,022,632,448,589,903,108,870,296,659,649,086,887,915,993,805,
803,039,805,601,977,238,467,287,157,421,307,983,874,200,810,664,301,331,133,
054,244,542,443,532,317,207,419,702,684,504,666,195,634,727,566,566,096,820,
949,369,048,688,263,086,949,220,587,545,953,567,479,628,059,201,293,889,736,
257,799,857,171,627,612,123,859,434,773,595,826,096,280,827,227,956,534,768,
696,891,869,409,348,412,665,350,614,392,772,341,514,457,869,507,915,893,916,
161,974,829,044,755,457,784,884,307,918,587,390,768,922,338,125,919,928,825,
816,125,313,660,851,199,045,719,744,565,935,833,828,087,443,806,104,147,349,
565,105,069,511,210,703,757,220,027,641,512,198,830,226,164,886,216,007,499,
417,840,549,456,610,880,846,822,370,551,915,551,050,684,502,859,772,929,410,
212,643,345,836,742,023,858,802,567,954,997,661,375,424,508,384,042,801,961,
176,412,161,711,129,272,005,795,781,146,576,615,085,076,913,595,986,172,005,
097,352,379,998,900,540,523,406,773,817,072,291,576,968,551,782,008,133,907,
532,996,588,490,658,135,388,274,417,340,942,544,177,344,302,077,370,531,463,
547,878,251,717,771,419,405,123,724,699,552,741,980,079,218,456,538,716,188,
350,527,748,588,877,596,075,584,524,586,215,397,896,996,892,108,204,780,391,
857,126,034,757,391,012,830,867,217,429,482,455,613,604,399,576,171,005,279,
367,763,733,719,423,031,236,309,091,724,010,725,652,653,984,356,596,695,052,
821,808,659,959,276,405,202,030,756,773,481,831,972,713,033,634,029,932,557,
846,814,241,871,045,847,663,284,474,342,580,253,627,529,240,634,831,305,107,
627,577,325,316,699,293,786,769,837,866,848,775,274,667,511,743,170,556,981,
203,389,170,268,368,544,364,425,125,469,701,447,347,510,318,067,638,109,507,
209,802,840,091,622,302,350,456,632,910,042,599,106,321,748,362,790,075,290,
428,808,629,763,954,623,787,297,935,993,050,846,879,369,103,796,790,576,393,
905,036,173,806,828,453,997,748,088,667,625,790,218,774,833,814,420,754,691,
426,059,507,316,643,991,355,042,805,631,029,764,596,306,455,456,988,963,349,
222,020,406,074,105,198,060,844,763,089,222,327,982,201,300,297,312,590,889,
789,800,711,714,298,437,302,799,747,657,166,308,714,968,210,575,416,806,941,
864,894,246,262,613,696,512,014,783,868,756,079,599,149,658,008,665,789,879,
680,940,305,629,987,973,838,513,196,190,293,971,191,822,078,743,081,105,810,
091,955,915,846,664,353,402,004,446,225,338,567,076,367,893,480,679,550,856,
121,585,676,521,509,738,162,734,009,546,264,187,852,170,218,628,702,333,254,
814,983,675,166,787,012,266,518,216,631,653,289,545,136,336,573,244,567,367,
136,543,346,973,242,320,205,104,693,415,092,618,596,140,296,979,696,544,056,
648,496,710,600,356,119,082,176,091,643,879,480,131,796,093,815,622,713,406,
937,419,716,281,335,425,569,447,441,449,103,904,619,150,737,071,665,098,649,
056,403,964,260,885,005,364,790,341,941,097,393,041,867,214,583,410,045,849,
643,064,145,400,707,030,243,462,749,689,950,646,605,345,423,037,556,499,348,
400,989,923,339,831,391,013,748,135,108,868,696,005,951,155,971,255,414,932,
363,943,982,851,655,205,368,191,710,032,032,103,035,826,527,274,567,179,421,
037,614,323,911,269,254,526,442,132,598,275,376,147,690,558,405,741,984,980,
475,642,575,679,017,467,807,535,513,152,672,198,772,221,863,671,154,564,322,
901,441,929,030,890,763,358,700,524,600,244,497,321,896,862,921,768,067,656,
481,538,084,900,330,099,715,455,776,660,559,724,727,830,180,344,633,027,609,
453,473,795,672,863,051,717,589,721,311,793,773,221,431,078,516,984,095,637,
628,222,239,849,267,550,186,676,016,350,228,232,812,719,093,372,113,874,507,
027,811,297,062,133,801,588,470,842,056,206,165,312,406,556,605,319,986,806,
027,119,875,781,016,814,088,455,639,990,591,419,105,992,648,135,128,875,490,
633,275,109,262,837,499,314,892,830,031,919,100,174,003,508,533,078,325,248,
196,572,515,418,059,429,011,307,879,357,336,386,441,642,577,769,256,113,888,
509,612,794,572,555,118,165,591,485,750,829,604,562,094,038,343,262,909,669,
024,900,488,195,194,692,686,082,492,567,646,844,847,138,855,577,074,266,553,
157,918,581,894,449,976,874,893,467,628,805,445,554,427,552,834,974,277,271,
908,966,631,926,248,540,941,503,062,109,493,649,924,990,158,105,360,979,120,
232,715,011,106,074,148,415,341,637,608,270,189,278,743,878,788,052,026,797,
851,195,040,822,667,076,820,263,470,793,612,534,796,168,938,224,004,521,543,
318,107,349,807,531,953,426,528,663,542,871,881,494,525,021,268,471,648,947,
020,338,739,124,008,777,760,452,517,586,613,269,372,253,853,598,680,823,087,
658,654,961,760,312,472,516,932,931,885,308,616,423,407,496,057,948,577,948,
487,467,968,738,447,809,434,749,467,129,062,569,614,968,861,212,276,182,491,
752,706,861,109,036,307,231,812,980,517,224,022,612,846,127,743,070,479,470,
259,072,746,790,839,746,848,579,916,172,958,634,110,047,847,102,409,661,024,
964,930,931,678,948,398,677,577,214,283,056,720,882,792,965,970,241,959,096,
925,885,100,722,091,908,501,556,866,806,784,230,130,922,947,990,950,231,679,
512,782,333,371,542,114,171,143,907,154,285,655,813,154,093,103,853,764,836,
929,755,677,741,055,535,356,583,753,067,420,713,253,117,985,190,660,474,577,
350,163,039,086,728,737,765,774,006,438,322,240,445,934,014,148,963,315,600,
899,257,091,395,643,348,323,929,271,934,382,757,280,332,458,111,057,371,628,
467,955,416,813,224,217,385,593,892,416,720,873,091,902,069,902,195,284,686,
913,771,987,082,861,255,403,179,136,404,576,651,360,486,114,386,849,794,374,
502,262,985,334,071,645,782,666,878,826,518,380,116,035,563,191,780,772,336,
202,744,676,723,422,585,785,172,206,210,825,554,344,536,151,646,522,394,998,
992,640,978,890,085,346,432,357,831,645,519,044,294,490,044,091,053,896,599,
190,222,615,982,649,452,482,968,256,875,023,388,263,703,983,826,125,384,439,
871,492,692,991,820,664,034,772,035,930,485,147,207,662,625,924,614,647,194,
173,057,066,163,917,513,385,118,472,277,663,508,655,714,867,970,147,944,862,
600,330,125,390,160,720,716,644,999,398,390,727,392,904,948,046,899,052,287,
114,627,022,214,041,971,733,674,705,423,718,945,274,504,954,798,380,589,085,
759,130,079,964,602,438,099,499,103,222,714,923,959,540,276,908,813,129,044,
429,302,610,398,097,252,171,137,414,673,949,620,384,219,282,404,641,481,298,
992,288,699,582,366,658,167,591,737,383,936,477,704,621,816,427,268,920,591,
594,328,830,146,009,571,014,446,437,232,216,981,039,333,334,019,358,295,118,
912,918,662,046,800,348,843,178,709,041,200,596,467,252,009,028,827,232,274,
611,070,655,441,467,945,752,832,740,161,133,181,744,943,488,572,567,284,512,
820,751,586,134,537,906,153,962,903,576,471,526,567,936,918,931,522,767,665,
415,728,648,124,983,326,995,615,271,375,019,509,375,523,655,970,981,917,639,
477,165,610,760,446,387,562,443,249,861,562,828,717,215,980,261,148,994,770,
309,176,071,989,538,244,222,781,714,749,452,634,775,738,660,801,934,236,136,
907,581,096,712,044,567,297,644,264,590,592,439,644,985,687,717,041,194,727,
989,187,967,474,307,276,432,907,175,882,146,948,628,795,931,328,394,420,567,
606,322,814,290,708,337,883,651,010,427,270,256,626,733,595,940,892,122,421,
546,386,145,661,692,525,996,908,895,875,885,349,811,359,039,138,754,805,053,
228,382,702,069,423,913,919,652,834,320,108,814,644,774,662,795,396,196,512,
228,662,453,841,323,218,418,957,216,210,125,499,069,262,589,799,800,881,750,
887,114,887,752,473,535,276,514,704,234,317,920,351,746,031,908,397,032,163,
382,868,316,811,480,311,209,032,046,497,316,995,003,052,955,672,500,216,361,
792,031,089,678,597,148,754,676,598,396,574,850,066,474,699,397,710,272,065,
027,603,705,499,657,156,598,222,264,363,620,788,123,636,162,891,237,230,849,
459,568,494,695,051,218,263,885,023,909,507,059,407,090,540,776,308,973,161,
106,041,510,473,700,910,052,496,895,908,412,429,948,010,269,295,420,418,246,
586,455,012,084,469,391,399,190,241,523,144,532,410,698,385,411,159,169,149,
228,019,568,286,845,153,325,440,802,370,902,840,668,512,896,732,597,995,187,
233,688,062,167,462,650,056,556,241,976,271,814,630,920,308,133,441,034,766,
575,109,809,241,443,869,712,091,530,595,857,360,697,809,421,550,479,019,286,
771,779,843,808,115,891,975,456,881,474,512,264,225,431,323,742,599,904,281,
612,276,162,693,724,870,781,447,759,673,433,316,284,262,241,977,814,633,853,
078,667,539,347,017,728,578,716,282,580,179,146,944,684,254,485,157,116,365,
631,738,005,211,413,521,140,278,078,792,804,812,955,203,976,208,632,179,604,
176,259,706,883,289,975,677,106,269,899,834,597,613,275,440,205,278,842,242,
007,403,363,820,071,981,513,160,412,517,438,722,925,184,337,586,908,949,772,
144,144,789,916,972,765,005,847,689,989,194,488,690,593,536,017,984,155,032,
566,715,634,472,109,505,350,246,836,970,689,361,125,126,990,398,420,005,009,
966,624,049,151,587,145,788,621,695,171,710,828,775,865,885,537,741,885,736,
575,624,944,498,132,119,879,046,604,015,101,331,111,329,290,457,585,776,541,
033,364,310,241,055,828,563,064,376,064,118,458,263,534,370,091,536,561,628,
944,410,586,879,828,525,394,093,551,012,145,674,264,629,417,145,634,283,249,
614,213,647,923,978,992,842,979,473,832,417,126,092,200,385,393,142,853,640,
207,958,554,954,090,859,538,666,100,127,478,195,910,196,890,846,448,740,689,
941,909,748,700,189,642,687,024,820,769,881,096,873,177,851,519,394,736,287,
279,636,146,299,658,536,987,865,487,018,799,884,111,600,282,285,131,155,545,
167,621,557,469,793,304,955,863,714,676,740,426,197,514,801,864,893,091,812,
030,089,524,049,211,785,764,028,105,104,079,241,940,377,859,791,844,654,405,
833,385,381,718,362,653,398,597,076,196,474,753,556,679,306,045,446,948,894,
926,147,398,724,294,648,621,504,669,785,975,670,811,849,729,127,439,916,486,
080,682,420,737,349,444,839,493,716,764,993,319,110,328,944,155,988,073,076,
497,318,822,204,762,835,601,513,552,355,167,730,083,684,817,412,878,486,228,
702,000,137,347,340,165,921,121,498,744,769,108,698,688,119,781,536,859,488,
794,913,795,418,301,097,816,568,822,761,413,426,151,857,390,964,469,697,483,
238,160,538,297,215,592,605,228,463,205,086,846,145,655,612,175,268,939,677,
841,755,075,991,211,683,579,873,825,721,985,248,532,735,232,030,565,186,053,
355,558,461,098,712,990,246,598,632,129,379,630,608,514,785,915,408,565,683,
979,307,228,788,191,143,829,260,764,430,131,689,323,903,118,126,021,889,516,
603,010,514,874,846,679,639,925,911,064,552,600,022,605,489,937,358,738,558,
160,324,433,675,977,621,791,559,198,027,081,687,050,233,720,957,840,622,902,
659,155,637,834,636,250,005,596,339,612,215,221,633,087,967,976,658,929,015,
778,745,678,081,146,789,122,105,845,600,652,780,382,391,783,668,881,373,318,
703,616,431,809,394,318,534,900,312,619,637,337,670,847,694,077,540,945,675,
813,535,694,417,895,434,209,644,779,012,519,590,284,037,537,389,777,948,489,
169,365,556,309,903,265,657,891,603,392,163,724,654,556,352,124,105,323,098,
852,025,161,698,796,282,400,422,403,901,999,092,127,686,131,054,131,857,552,
458,979,864,419,158,420,789,903,120,756,799,425,013,056,565,874,971,218,286,
430,427,178,268,768,524,930,350,746,451,456,167,740,453,234,089,191,424,824,
392,355,203,490,157,553,149,930,496,424,701,175,194,707,926,701,243,232,074,
455,462,017,733,986,431,254,308,848,483,362,053,735,055,422,001,063,837,302,
908,757,508,383,821,423,416,570,416,475,072,486,854,259,511,477,070,257,171,
258,738,305,427,603,234,297,036,833,786,283,904,954,660,340,994,350,281,918,
862,002,464,502,736,369,392,572,459,386,697,940,974,300,967,138,846,129,392,
269,911,580,057,910,290,418,471,744,684,623,374,911,548,301,912,428,380,399,
087,657,177,769,696,887,208,019,633,387,888,055,873,590,135,225,439,382,859,
622,383,738,494,650,066,990,529,229,589,830,897,547,793,126,296,464,312,110,
587,966,052,363,782,121,215,080,672,678,278,633,055,895,067,030,797,814,909,
226,832,617,889,065,623,045,875,554,297,473,847,699,326,896,544,543,867,949,
549,024,696,455,256,696,161,110,225,834,197,293,572,070,411,356,184,590,469,
023,184,962,092,979,207,568,858,507,674,230,032,547,872,979,192,735,283,826,
670,569,829,991,829,197,687,209,559,725,337,996,654,192,213,632,130,682,484,
461,675,944,577,298,531,115,906,099,868,919,113,701,080,416,337,835,284,094,
751,152,236,123,833,807,374,335,302,303,395,210,336,766,379,843,697,960,917,
844,512,011,726,364,763,415,050,226,554,897,009,482,779,135,622,597,314,527,
848,328,493,399,110,933,535,348,752,069,023,308,347,595,941,276,727,558,322,
186,809,125,129,115,537,954,638,504,627,952,614,576,069,834,937,318,524,475,
246,843,879,084,171,052,962,406,597,687,855,095,481,335,673,304,355,377,686,
311,905,085,898,057,929,417,975,433,448,780,226,524,843,845,953,482,063,676,
065,721,592,662,961,906,343,724,767,338,225,835,632,574,378,822,507,611,497,
725,574,034,569,009,473,365,950,322,312,012,903,819,369,564,971,437,387,980,
619,490,937,396,297,414,562,885,701,150,261,906,243,031,014,982,240,872,604,
241,330,097,456,822,714,472,190,527,229,875,412,273,095,942,234,173,089,773,
343,643,641,080,917,875,741,316,440,138,435,117,088,500,090,696,567,816,519,
527,589,180,964,737,070,154,824,417,146,091,158,461,000,037,949,924,479,861,
633,321,600,243,013,531,938,479,687,498,969,559,124,696,344,174,705,192,900,
000,342,695,835,115,825,910,598,861,321,047,887,882,726,510,295,203,501,759,
020,951,973,605,967,003,487,063,058,438,697,121,397,221,268,866,441,165,563,
484,774,590,453,923,179,225,739,790,172,145,516,239,979,134,469,264,359,659,
251,724,036,046,142,009,453,328,218,623,267,636,081,862,277,738,337,587,237,
407,476,173,197,541,854,466,936,295,413,981,115,449,011,459,232,310,522,554,
890,235,780,582,151,526,500,214,079,045,006,526,110,392,061,790,660,359,530,
816,078,121,483,597,199,308,762,931,572,248,511,699,406,919,465,060,795,613,
317,202,770,959,537,787,352,907,121,469,221,571,368,654,413,961,739,288,623,
911,675,768,687,352,861,361,355,603,584,632,642,425,928,053,626,153,285,255,
190,541,673,411,093,898,421,482,654,838,707,211,023,636,170,626,016,873,508,
936,174,238,725,165,872,186,014,239,841,532,683,208,733,764,873,486,432,689,
569,488,588,573,937,961,693,119,226,204,476,710,327,661,192,979,757,801,022,
986,085,977,362,176,139,736,453,808,809,584,134,857,837,540,097,430,521,619,
210,303,512,838,162,551,629,037,554,265,439,293,185,130,114,988,948,468,651,
653,315,160,051,657,885,100,894,995,009,476,144,357,350,708,879,127,294,944,
326,934,642,292,212,026,151,225,176,729,579,805,191,009,781,579,489,512,834,
801,400,123,547,058,422,012,297,552,309,849,980,913,529,692,889,654,967,910,
150,629,427,704,876,545,409,515,720,425,685,886,367,995,093,115,701,777,777,
627,246,263,046,328,190,276,414,894,466,424,987,902,669,979,680,888,563,352,
029,480,656,858,324,176,075,438,629,813,681,741,824,015,562,558,842,886,102,
239,583,639,381,580,454,688,245,815,740,435,852,308,197,784,228,301,629,095,
503,113,923,268,086,722,396,116,956,760,777,590,414,882,685,303,075,884,801,
571,112,886,496,882,801,425,166,344,623,266,123,129,093,669,327,068,580,878,
750,118,469,004,487,732,227,219,178,122,536,110,003,988,314,475,551,842,579,
049,730,662,047,387,436,162,653,542,722,689,330,182,079,858,070,764,452,488,
823,771,324,137,631,551,696,913,598,008,232,558,997,297,776,215,799,617,511,
909,457,114,105,311,927,354,480,618,095,651,320,918,928,018,445,687,432,442,
367,815,352,804,376,126,027,465,616,822,165,070,630,161,875,385,809,172,728,
233,991,085,782,590,143,496,243,422,255,337,644,206,547,949,435,852,518,267,
796,004,438,805,142,723,240,986,650,831,159,051,797,754,188,995,930,179,877,
110,354,032,354,173,647,182,968,118,280,705,793,478,118,365,588,411,207,732,
038,659,994,868,548,434,214,698,887,316,498,525,202,737,555,804,534,331,530,
821,526,056,294,880,663,509,485,473,932,224,077,027,211,973,174,819,237,048,
651,928,630,634,446,394,618,686,801,272,239,257,420,929,572,652,950,080,715,
151,477,200,796,906,834,558,386,777,579,347,327,848,525,021,835,837,564,954,
413,642,310,375,582,086,155,605,680,846,114,333,211,726,946,863,892,059,947,
961,638,274,934,172,810,655,756,057,572,965,809,081,684,610,766,108,757,922,
055,268,167,527,324,847,949,762,912,589,118,390,259,323,684,953,830,214,025,
094,706,253,440,164,270,661,117,646,201,273,230,669,852,437,758,122,641,918,
315,776,417,363,438,255,161,050,465,297,552,354,466,017,232,489,415,940,647,
137,006,552,640,173,947,109,615,601,645,498,672,739,644,818,767,843,775,382,
701,439,519,693,300,504,411,517,403,905,358,099,437,440,883,271,871,218,724,
626,118,591,087,428,162,644,046,366,260,313,297,753,481,228,373,616,385,415,
487,685,767,028,032,261,925,615,374,162,881,344,554,300,439,960,098,158,676,
348,698,994,929,991,723,700,124,472,420,587,151,923,482,137,959,744,449,817,
872,548,063,080,968,432,572,077,761,115,787,247,665,988,519,910,791,243,166,
545,043,580,510,541,767,888,489,927,672,541,382,017,622,912,460,438,416,847,
348,064,323,757,120,306,387,335,034,541,945,789,092,291,394,498,610,443,212,
590,173,327,589,840,410,066,664,108,149,448,717,639,509,894,429,075,414,977,
373,720,153,982,488,818,821,379,381,844,776,356,532,565,287,624,166,419,599,
217,745,627,119,055,441,207,923,391,747,719,974,479,302,414,191,675,240,998,
873,253,993,620,198,516,024,501,259,227,650,557,348,821,818,542,611,750,243,
694,461,921,434,221,082,856,026,697,514,868,357,679,299,522,576,608,466,469,
229,724,821,657,058,944,872,129,255,307,537,657,670,770,966,649,900,545,035,
522,751,393,620,666,500,255,918,948,297,681,269,993,615,651,212,447,325,274,
666,062,653,312,796,955,307,295,368,811,309,625,244,952,306,150,729,205,547,
297,889,168,211,293,570,970,827,050,736,076,365,293,270,448,360,722,597,442,
973,640,028,345,960,833,633,944,707,229,944,412,653,889,070,199,252,252,013,
971,758,578,333,553,732,589,834,592,707,458,128,631,705,107,254,300,034,738,
127,869,303,842,029,623,685,895,595,985,849,945,637,816,968,087,336,048,834,
969,488,780,203,928,758,846,220,716,505,709,121,146,185,909,156,556,304,350,
534,286,367,410,283,095,902,188,615,748,629,761,363,931,571,108,215,882,569,
876,454,613,886,453,726,745,681,159,606,832,871,784,213,540,112,545,098,383,
338,473,528,517,254,893,663,482,910,041,392,714,197,263,918,603,129,529,878,
613,595,194,306,341,028,694,505,373,865,360,548,293,932,187,263,992,548,245,
879,244,830,097,933,065,050,782,826,142,269,837,344,527,358,294,616,310,350,
193,361,956,850,327,274,018,019,367,217,256,835,661,537,431,150,704,890,882,
046,301,877,418,797,450,313,997,554,945,096,981,985,222,643,238,719,984,141,
685,712,828,048,936,724,657,166,404,025,827,677,776,734,065,620,750,846,921,
459,188,486,323,898,195,934,577,504,095,489,522,215,843,133,817,095,176,732,
289,872,445,696,210,269,545,226,427,580,587,400,123,661,780,860,837,961,082,
902,595,016,427,709,759,235,995,676,415,940,202,577,119,766,599,081,929,202,
179,820,672,926,704,769,087,580,611,290,973,170,798,468,499,433,053,356,558,
934,413,111,287,729,508,741,616,327,495,347,051,319,672,336,721,766,579,222,
974,017,624,665,187,203,437,899,146,975,967,629,071,192,470,010,865,956,841,
090,754,345,239,654,164,768,590,411,310,978,186,357,458,560,637,598,526,798,
182,052,553,833,815,104,670,876,054,071,346,568,750,660,719,584,682,870,904,
929,407,261,406,380,280,334,500,334,530,011,100,569,966,596,678,979,286,729,
247,550,060,912,623,745,682,935,998,928,150,075,514,951,311,803,021,747,896,
213,349,867,447,142,255,982,188,806,708,062,540,548,176,082,764,162,211,580,
961,212,526,037,973,032,471,500,733,833,052,343,381,000,035,669,077,645,922,
742,489,379,894,561,993,233,820,465,896,791,345,722,137,342,621,712,671,567,
140,078,345,521,949,548,447,392,975,310,747,147,834,037,245,834,613,304,685,
692,670,627,541,676,583,211,113,731,887,890,752,047,388,513,203,433,818,421,
759,196,546,731,293,146,199,056,582,935,812,932,668,544,610,239,091,256,910,
052,349,649,735,948,191,648,067,244,370,003,931,744,763,029,806,848,906,094,
856,913,763,086,312,806,211,577,230,396,350,638,710,843,483,172,745,900,505,
665,264,734,685,892,076,107,873,843,171,863,124,772,109,496,000,211,704,352,
214,586,198,547,176,776,838,785,868,513,665,314,441,753,347,051,868,665,840,
915,749,762,187,648,045,631,337,216,219,129,023,070,967,608,637,302,953,646,
366,797,776,616,719,795,938,881,819,779,329,646,146,239,922,086,830,474,213,
392,144,239,736,401,443,839,317,330,248,996,622,795,080,817,340,970,643,329,
394,744,147,951,903,256,146,876,835,615,213,378,971,038,052,898,004,279,194,
417,204,308,689,154,729,058,156,821,265,980,264,541,780,705,190,437,944,144,
971,147,979,193,265,171,597,187,506,509,088,599,748,749,753,966,671,412,864,
077,069,858,093,575,848,964,173,208,060,948,800,579,730,574,469,720,556,779,
291,689,759,897,412,452,936,778,896,063,258,150,507,946,616,615,074,340,714,
144,160,054,663,042,353,588,557,081,143,947,058,968,436,200,363,963,378,680,
304,623,429,411,673,426,138,862,711,165,367,836,058,038,600,432,218,801,539,
740,647,770,133,150,507,719,473,878,192,369,284,634,963,251,609,776,614,249,
042,733,465,645,007,343,487,494,229,005,108,491,734,050,703,576,648,755,274,
148,710,919,843,488,598,994,688,544,672,862,973,180,714,840,525,152,472,329,
927,253,960,095,387,885,050,455,547,217,359,679,825,335,810,573,479,420,179,
564,111,344,487,868,549,199,627,440,645,413,818,894,401,858,664,151,013,211,
242,029,911,631,875,660,153,314,401,116,629,004,295,135,932,632,514,548,225,
501,392,856,132,470,073,715,172,298,937,115,890,248,390,644,107,933,339,554,
592,446,403,458,563,812,915,079,634,555,834,055,332,552,846,114,852,414,932,
191,315,777,478,134,620,682,170,914,887,544,459,749,131,971,279,212,717,575,
120,499,198,724,357,584,739,048,405,577,462,156,045,108,983,904,049,946,267,
766,745,168,235,744,868,694,582,632,575,776,338,885,121,688,974,337,313,879,
787,823,996,713,289,061,500,502,102,118,371,007,691,113,969,694,728,202,315,
696,786,220,136,782,745,969,620,145,800,860,216,789,145,684,591,541,500,448,
764,631,064,729,325,667,247,535,401,660,243,814,514,310,309,839,432,024,713,
388,972,549,364,358,276,710,057,265,177,699,749,824,656,553,715,479,483,680,
931,525,535,556,847,591,226,222,791,017,996,320,095,830,443,106,506,596,282,
027,583,691,149,570,640,896,639,209,768,916,560,330,774,546,571,380,263,617,
758,766,260,400,306,174,196,637,807,346,134,338,372,675,606,245,609,945,346,
809,999,659,330,022,829,653,955,416,535,909,071,060,430,208,914,485,741,150,
618,772,124,965,284,136,134,389,985,248,810,655,612,162,252,440,175,882,503,
851,950,826,984,733,941,718,115,107,364,623,814,769,696,665,453,799,960,064,
762,751,338,567,062,410,440,428,027,999,886,067,267,198,202,229,739,289,979,
163,868,794,751,379,082,187,392,256,423,080,735,364,639,292,417,682,240,566,
241,198,452,941,248,489,492,224,780,071,698,964,093,468,973,871,580,941,157,
310,648,952,367,814,361,634,808,937,949,234,312,728,483,448,328,532,412,354,
368,701,047,784,136,856,736,708,078,626,829,087,752,673,214,104,706,215,672,
892,449,514,681,671,986,301,632,856,875,328,304,227,731,480,428,084,353,478,
786,427,275,628,870,581,955,093,782,650,379,435,564,038,568,623,857,109,914,
002,890,564,493,595,382,461,326,467,420,750,968,023,574,354,126,272,306,566,
729,556,532,679,333,463,160,919,453,933,973,715,745,598,234,882,672,941,456,
739,437,330,937,491,472,878,023,762,236,375,754,736,823,393,410,635,757,851,
475,699,973,414,705,774,519,827,159,884,027,146,684,619,417,663,560,924,971,
911,799,066,695,202,239,598,646,568,820,238,095,813,147,371,352,503,992,954,
008,306,657,730,500,582,705,270,675,095,668,154,443,224,423,821,370,053,357,
168,579,507,765,488,104,201,175,994,547,033,962,348,110,576,516,419,866,094,
384,243,710,735,715,505,662,142,334,948,831,457,448,998,020,779,838,869,918,
496,352,560,920,725,475,354,647,398,612,915,393,272,782,396,490,856,434,984,
824,373,352,524,782,583,944,560,909,811,525,171,496,085,726,472,948,135,305,
071,129,089,428,449,397,260,642,448,644,862,501,820,578,334,902,093,791,642,
293,190,704,942,257,338,205,398,884,305,367,846,285,317,661,336,226,453,975,
078,894,560,185,960,099,333,129,864,243,934,735,991,974,383,205,368,673,642,
706,613,923,807,647,196,582,947,100,918,551,893,426,843,962,274,478,142,242,
210,454,361,493,640,331,407,772,763,531,720,679,872,521,460,579,892,343,930,
355,213,608,648,786,126,268,846,753,361,389,571,874,350,485,893,876,165,639,
205,173,316,952,923,567,000,660,127,516,900,449,205,137,069,956,170,238,077,
567,735,378,968,306,722,330,596,600,336,606,448,625,325,189,729,896,651,605,
835,649,830,609,985,771,337,192,419,990,714,766,434,125,618,617,247,616,068,
517,349,223,508,414,538,248,053,042,644,909,824,342,679,357,615,916,404,911,
909,230,006,634,081,355,607,300,100,866,986,881,567,896,169,600,363,449,057,
815,768,185,431,048,908,231,812,045,668,159,554,852,988,502,996,838,827,823,
566,677,567,949,992,675,653,113,468,370,115,103,075,854,127,710,957,327,133,
465,921,895,375,835,510,999,502,124,946,418,442,141,356,608,067,360,037,103,
947,697,196,372,396,602,318,470,990,334,648,400,758,680,179,008,794,872,951,
678,730,379,363,484,037,297,901,696,042,733,276,821,376,417,381,592,391,789,
754,996,924,240,589,539,348,944,994,255,900,734,269,130,038,911,310,917,442,
888,083,400,937,972,783,278,692,128,914,516,767,538,080,590,194,081,822,811,
249,441,980,188,505,167,636,549,441,961,674,688,420,368,331,878,662,696,570,
716,003,616,720,809,714,904,908,764,558,075,985,468,938,765,722,035,665,595,
588,471,631,757,255,961,736,281,405,643,368,695,231,206,084,803,743,825,804,
143,926,408,793,550,419,915,606,596,696,535,848,234,275,786,567,345,412,602,
439,711,127,977,663,084,608,775,435,313,553,700,873,050,460,668,200,066,985,
613,129,549,869,609,865,450,346,050,690,049,789,027,274,148,402,439,048,689,
780,375,895,632,331,482,036,179,680,724,785,972,352,076,102,782,467,124,322,
159,311,412,792,785,753,017,416,825,825,937,079,147,910,476,800,655,548,670,
514,246,912,503,519,097,447,524,946,482,867,302,284,854,548,131,828,413,960,
092,880,648,862,081,898,388,427,600,939,517,081,182,495,503,695,892,465,803,
928,669,913,247,915,055,178,271,740,952,750,850,633,237,026,550,846,508,758,
330,498,081,900,211,781,422,480,410,296,809,750,917,319,469,646,232,310,307,
665,959,267,507,921,378,476,673,930,653,792,951,330,562,145,832,764,462,817,
528,655,639,576,082,295,887,950,114,055,817,195,441,038,772,421,570,539,446,
828,147,289,582,846,652,091,885,623,519,407,695,798,853,895,780,120,940,070,
563,098,434,351,282,446,282,320,567,509,049,777,973,216,576,335,745,255,857,
346,019,535,252,124,762,354,921,353,355,199,329,415,954,088,099,951,441,230,
739,858,579,576,162,767,638,371,308,797,002,317,403,401,458,438,909,363,748,
436,969,963,174,584,363,487,345,630,163,759,992,740,017,874,463,836,092,615,
852,745,021,479,982,689,375,386,029,839,398,434,194,036,153,414,632,955,036,
095,358,221,582,624,818,048,453,512,309,413,264,834,601,901,151,607,592,756,
773,191,063,306,531,524,583,385,497,775,800,306,631,201,139,593,970,704,525,
578,339,851,146,793,671,488,111,651,032,211,459,627,475,669,766,250,881,159,
420,825,281,629,107,014,857,047,920,653,491,157,118,281,736,298,075,338,542,
869,049,090,791,850,025,663,683,459,598,353,161,826,784,926,368,179,864,005,
510,150,037,652,090,276,283,136,513,184,208,844,425,884,090,797,929,145,672,
881,918,334,299,565,067,349,321,739,000,211,369,351,798,775,444,574,943,362,
178,660,106,949,921,875,805,167,053,076,306,031,130,402,553,040,955,347,263,
687,610,937,681,474,329,403,683,976,382,702,006,047,088,092,668,509,352,071,
648,013,637,055,916,413,724,123,227,626,254,581,888,883,534,374,331,910,922,
836,617,873,346,729,552,572,529,293,999,872,640,981,017,800,458,800,299,266,
317,608,384,028,396,883,223,631,737,274,992,884,951,512,087,868,879,726,998,
705,423,548,641,602,292,428,319,453,514,998,505,277,184,621,640,119,193,450,
953,977,974,492,224,115,870,736,811,661,768,539,728,345,063,714,123,247,751,
924,042,802,857,274,932,440,790,638,358,686,340,363,822,135,273,393,052,399,
306,697,150,236,029,179,046,885,675,398,386,755,176,020,462,975,284,094,696,
564,051,087,312,755,056,194,482,216,364,800,716,580,589,473,374,592,600,378,
054,889,622,109,757,017,664,170,414,319,582,530,640,878,772,633,733,303,225,
573,051,589,286,663,508,793,917,125,862,356,896,177,625,016,820,827,557,540,
007,131,527,154,249,451,123,264,382,138,945,134,239,671,285,552,364,631,274,
731,712,300,918,842,858,256,527,025,257,469,554,405,160,651,217,349,754,299,
872,395,680,968,520,679,188,275,534,169,513,508,876,650,567,816,463,211,733,
264,295,525,906,042,527,936,833,418,808,765,175,526,759,062,755,980,572,665,
077,031,382,593,761,705,030,925,159,652,701,300,735,317,131,821,965,803,141,
033,939,891,507,380,380,011,182,344,314,967,452,423,529,451,079,885,814,764,
552,390,915,573,491,911,006,056,243,331,609,750,434,885,978,897,930,042,503,
362,182,422,190,065,732,362,686,621,307,167,827,979,134,974,321,109,361,744,
778,130,114,937,428,523,857,717,891,093,147,133,714,278,277,894,647,221,729,
520,454,327,771,429,550,150,377,677,975,196,717,448,461,985,077,724,585,951,
358,611,228,027,152,248,088,030,177,300,512,781,523,388,087,732,953,384,874,
815,769,974,496,399,258,393,633,513,072,110,857,073,917,167,243,172,721,447,
574,921,755,402,428,167,817,854,656,844,204,564,127,877,917,872,423,624,436,
618,513,393,103,402,398,286,398,145,633,359,191,275,664,483,751,068,646,540,
564,149,219,774,881,336,329,189,572,923,974,400,939,557,666,438,337,651,930,
762,017,112,201,056,779,227,938,856,486,330,539,492,237,070,961,799,471,908,
835,112,104,189,387,473,152,454,074,574,033,804,428,873,810,266,582,246,325,
605,263,133,130,749,741,774,523,834,729,438,733,194,903,714,623,451,752,672,
628,350,969,976,355,957,357,389,525,570,020,292,842,526,341,486,569,225,415,
149,368,557,753,903,326,616,639,757,025,378,854,124,003,149,238,356,060,626,
874,795,933,704,748,526,793,240,342,220,660,307,021,278,061,015,802,614,535,
336,110,419,685,220,621,880,908,029,098,727,354,982,643,232,397,916,369,642,
800,140,346,232,994,768,779,177,323,875,351,156,784,832,877,375,932,980,943,
857,455,161,666,570,691,588,006,561,914,551,667,579,320,809,587,289,265,165,
096,223,697,116,594,856,310,954,018,659,633,532,511,212,721,504,383,538,577,
477,716,301,533,674,033,063,414,169,843,300,939,912,620,544,466,412,712,804,
874,383,216,755,708,736,863,797,938,023,308,018,648,733,347,667,089,990,987,
947,065,165,652,122,736,132,468,728,972,622,711,362,747,799,990,070,434,510,
575,080,107,687,845,522,464,495,206,824,029,810,113,151,140,787,927,804,081,
433,127,352,228,830,097,858,959,023,350,575,143,369,388,078,895,573,921,947,
487,590,517,718,066,858,611,988,287,972,048,340,737,790,734,306,774,686,852,
693,965,951,485,562,799,657,121,576,038,048,815,658,081,817,800,307,993,452,
895,722,547,564,243,356,641,546,094,066,686,229,925,611,020,626,761,413,632,
563,529,988,809,555,377,806,527,935,572,296,430,993,988,374,660,967,352,522,
926,634,060,654,016,187,531,204,367,795,447,961,645,518,685,471,847,014,717,
907,705,187,496,325,254,032,277,535,267,978,398,960,431,749,548,013,150,257,
060,974,007,637,389,586,294,388,445,100,256,254,489,169,056,224,122,566,578,
718,738,943,909,803,008,605,003,571,906,314,967,801,341,728,943,016,236,040,
637,096,423,309,774,072,009,421,843,710,579,159,297,602,000,132,840,928,824,
464,911,695,162,133,296,155,993,692,474,119,700,782,218,474,325,795,355,392,
608,259,797,704,747,556,206,191,892,391,466,833,628,586,006,744,939,109,029,
942,399,890,450,336,926,309,859,069,517,059,581,692,815,720,382,532,330,863,
175,904,182,019,488,609,300,074,012,172,922,835,958,729,651,299,877,276,218,
562,583,576,979,416,915,403,750,654,919,564,435,252,445,792,593,813,050,589,
265,813,886,975,388,103,243,669,713,722,341,753,979,064,366,837,724,148,569,
922,849,170,575,664,382,125,278,014,620,941,452,828,544,984,128,480,259,848,
511,185,277,704,199,563,836,176,395,097,549,674,188,698,637,013,184,122,688,
378,495,913,420,180,600,263,430,032,987,225,994,528,448,443,345,660,075,976,
616,076,109,455,909,239,019,014,515,994,232,646,081,641,176,848,576,542,713,
797,617,346,196,726,998,220,642,909,576,715,112,565,623,259,477,877,277,563,
752,466,982,899,335,400,261,113,375,182,524,409,998,173,205,119,287,607,900,
788,805,830,793,956,399,881,532,625,092,038,133,119,943,818,638,959,884,613,
395,387,107,822,012,320,899,148,929,357,413,068,384,496,575,935,113,725,900,
998,011,138,618,715,339,401,848,299,540,269,749,690,478,064,001,060,084,853,
991,944,756,003,990,791,285,152,890,816,843,282,422,178,478,436,371,210,511,
396,985,446,495,962,128,949,618,636,540,073,989,402,424,194,937,802,375,420,
114,693,962,296,945,028,488,955,781,900,573,011,329,772,204,026,348,844,749,
725,704,935,114,081,439,350,391,354,688,487,426,782,013,879,032,594,656,617,
795,036,823,393,008,790,929,622,199,387,210,151,251,218,851,014,752,316,783,
063,084,586,552,188,282,647,337,666,201,715,129,722,624,615,436,714,018,565,
244,562,297,064,481,890,292,545,540,740,526,806,993,849,299,768,266,123,013,
442,522,308,902,472,294,862,492,175,857,542,861,291,124,642,008,504,197,128,
427,486,931,248,525,047,867,207,389,351,432,031,660,719,447,984,641,129,940,
233,518,942,694,465,434,124,045,175,166,482,273,200,288,442,177,061,798,814,
737,673,400,720,197,790,013,238,671,705,924,247,791,866,878,701,277,989,865,
878,019,522,267,397,322,743,865,726,735,192,925,664,314,969,090,747,836,990,
308,187,531,191,187,654,403,831,923,589,581,717,309,242,124,339,787,964,600,
139,130,502,291,515,343,423,811,436,487,818,567,806,067,156,669,061,900,918,
877,496,315,184,380,905,728,240,136,311,434,790,578,840,851,270,397,104,985,
291,979,038,730,889,038,636,973,539,981,105,167,294,969,367,527,502,081,524,
586,680,518,130,646,176,208,883,722,543,892,235,872,994,642,694,573,736,730,
189,616,196,636,252,375,361,845,983,494,902,373,165,110,162,784,485,273,474,
384,410,632,444,982,642,400,859,921,851,740,659,380,691,254,174,976,232,217,
823,839,346,231,787,199,099,760,563,945,019,844,182,308,178,126,764,833,628,
507,315,923,741,339,368,029,442,305,040,665,266,896,317,172,098,293,244,399,
917,226,076,175,739,367,925,802,049,914,664,521,569,834,297,505,865,457,836,
093,523,554,040,433,584,655,373,962,338,951,550,808,505,731,177,965,153,116,
713,266,639,113,331,246,492,490,809,638,928,417,577,877,039,277,945,467,624,
278,165,760,397,767,481,722,561,770,622,827,091,534,524,444,953,036,106,606,
341,424,976,700,254,477,305,738,191,430,133,686,972,941,897,907,013,922,088,
434,957,864,071,545,177,482,252,705,886,247,067,155,651,292,010,306,794,703,
707,502,732,455,441,036,256,953,221,845,833,621,026,084,006,810,301,502,981,
624,076,272,496,024,388,638,386,412,234,156,294,581,256,634,314,785,067,041,
280,814,245,592,062,105,056,161,414,813,186,874,626,507,115,616,822,304,930,
634,652,475,425,067,444,750,837,672,376,842,414,570,279,342,186,012,830,492,
718,700,839,065,508,158,075,657,041,115,084,986,962,076,167,515,006,487,908,
937,287,903,536,590,578,475,034,552,345,269,527,867,378,808,677,500,348,881,
304,620,891,732,231,012,858,842,282,455,521,104,162,167,037,971,240,637,910,
547,495,889,050,941,980,408,278,736,679,031,225,601,423,812,194,136,980,096,
307,809,696,898,972,427,506,435,279,027,085,763,362,336,887,718,744,160,262,
537,463,679,383,466,964,906,087,554,554,183,189,701,264,983,902,520,297,681,
324,755,923,578,519,556,704,828,270,175,359,604,995,852,957,996,881,536,301,
874,078,549,437,998,189,636,659,072,471,845,767,550,807,186,804,521,958,904,
454,077,306,686,695,255,719,665,764,778,676,184,284,801,292,791,528,426,151,
106,549,672,717,076,511,322,375,239,109,622,308,483,514,940,512,840,794,221,
851,289,247,165,321,585,367,463,013,592,803,356,413,215,011,545,465,561,400,
200,615,088,739,753,834,619,834,629,249,592,775,865,479,810,177,586,329,003,
673,831,170,798,741,184,793,107,181,098,746,666,943,288,128,695,580,449,482,
445,643,750,518,245,471,055,019,542,910,154,216,828,802,898,890,142,693,836,
826,482,361,261,279,965,282,213,314,721,093,339,328,795,058,317,790,117,060,
016,451,153,460,792,562,387,347,430,572,417,624,432,027,883,957,813,836,257,
931,768,119,609,533,842,292,615,240,886,631,439,892,624,257,768,070,640,136,
889,764,948,221,428,116,210,873,713,602,260,582,003,683,242,855,493,977,735,
898,606,029,449,640,743,214,157,842,678,070,219,495,871,750,056,545,790,071,
745,358,209,133,685,261,270,071,475,595,393,739,393,121,346,382,020,961,967,
893,295,302,470,898,235,524,210,370,819,030,648,801,845,888,212,565,464,343,
133,174,040,911,369,719,258,583,589,970,299,991,151,595,549,825,450,081,353,
926,438,494,369,767,365,523,657,754,410,811,494,322,419,395,294,088,331,202,
723,444,098,808,716,818,324,910,040,727,416,675,581,037,463,277,927,240,247,
983,364,341,235,540,257,279,096,501,969,563,296,610,354,767,335,904,132,746,
523,092,859,728,567,789,995,449,426,894,199,040,381,997,118,268,288,415,439,
127,236,864,362,781,469,450,462,234,655,874,349,076,490,246,168,151,477,338,
722,693,422,406,591,264,767,459,583,976,197,272,910,102,317,598,535,156,985,
082,476,417,122,915,536,122,941,091,228,146,451,107,821,707,174,432,548,284,
795,017,628,974,477,271,527,319,582,626,080,729,203,500,126,281,568,229,783,
876,102,301,823,563,460,992,610,381,877,097,586,866,155,445,607,165,390,568,
434,424,802,584,014,461,532,539,726,169,134,845,913,648,189,635,670,754,315,
367,544,265,462,014,134,275,581,251,188,561,608,484,734,465,616,051,943,454,
570,509,703,293,243,922,393,802,110,572,443,156,107,558,536,976,458,013,925,
477,271,376,548,517,898,094,439,300,147,064,825,487,343,296,167,121,800,474,
564,783,454,356,957,057,328,748,593,237,891,997,552,703,515,474,637,168,526,
303,540,003,865,942,690,414,246,499,029,810,906,145,761,009,896,851,674,157,
305,660,591,624,185,423,073,064,991,952,833,786,873,557,324,589,401,549,935,
032,877,436,918,717,453,487,024,906,804,894,887,598,438,972,770,862,781,961,
588,468,397,271,236,817,265,443,564,433,373,892,406,308,435,855,150,249,465,
711,720,486,130,480,958,933,638,172,263,394,727,734,400,365,184,452,221,356,
148,104,916,137,190,032,897,090,157,778,736,347,916,937,936,291,651,845,102,
464,786,177,024,914,414,285,115,824,268,313,808,501,779,162,817,965,427,940,
453,009,057,688,714,432,168,747,577,141,635,817,729,296,080,629,917,637,199,
805,416,800,141,607,418,441,032,863,862,698,630,083,261,053,021,865,554,515,
910,678,642,407,793,438,859,421,490,119,987,984,279,609,854,621,134,393,638,
782,596,290,686,495,539,657,572,489,858,418,562,832,608,048,676,262,674,996,
734,398,313,195,566,479,827,950,732,850,570,429,456,451,319,131,921,821,860,
170,941,852,060,171,830,433,795,345,025,425,959,847,341,545,370,964,758,981,
297,821,639,415,529,512,803,337,167,963,139,166,281,521,532,581,819,369,998,
247,176,158,831,991,743,217,657,236,754,342,214,379,042,479,193,689,045,654,
900,822,586,226,302,704,455,698,222,827,229,099,390,857,131,586,837,200,089,
911,603,926,551,615,738,118,793,432,251,886,509,445,174,687,621,791,457,697,
495,146,749,376,157,523,003,209,011,842,516,844,934,128,071,415,330,666,004,
428,168,005,794,261,686,664,941,709,374,971,940,538,525,691,797,113,060,112,
276,578,733,223,997,141,535,296,915,222,981,700,649,496,572,657,400,109,350,
484,808,316,590,593,065,686,849,794,306,014,995,646,116,275,381,695,512,457,
718,269,093,607,714,882,813,719,243,549,924,152,272,802,233,488,433,309,344,
084,335,084,745,246,891,806,181,979,781,369,303,302,152,102,006,459,054,821,
760,407,804,971,649,281,062,679,013,869,040,356,046,104,400,943,503,605,778,
154,411,143,698,144,974,541,331,078,841,707,399,994,927,376,357,706,080,767,
894,230,220,844,971,383,318,812,441,782,112,216,144,324,935,960,216,120,909,
622,741,325,055,010,662,786,712,580,061,266,340,391,429,678,853,026,478,159,
215,279,743,908,616,815,387,035,126,355,924,843,464,477,364,448,896,073,710,
210,881,170,923,927,674,320,024,713,709,019,081,395,882,181,002,520,783,690,
080,157,632,815,738,716,949,129,203,988,188,057,352,137,740,687,526,117,399,
488,035,393,172,607,068,802,358,768,024,991,351,704,358,359,933,685,362,674,
104,075,335,810,983,959,533,321,572,811,062,006,354,669,967,921,816,404,514,
976,320,100,198,077,332,997,299,865,119,012,602,394,795,898,203,351,776,868,
085,990,884,568,369,039,007,013,907,265,303,899,903,307,156,949,533,068,802,
072,164,944,080,088,455,882,321,415,553,335,113,629,497,292,756,385,004,255,
362,381,210,914,181,606,220,636,812,274,328,750,091,533,016,123,074,722,644,
474,639,840,376,208,195,850,836,456,973,257,229,375,149,469,938,800,901,077,
557,172,468,873,034,878,891,581,948,683,774,237,787,111,166,160,402,287,930,
833,074,306,501,503,632,588,092,457,983,318,348,043,382,052,982,165,202,093,
887,277,752,572,439,495,906,645,292,200,458,584,725,645,959,895,403,349,050,
612,477,900,029,762,059,928,238,565,691,536,803,881,495,362,242,521,653,049,
721,761,837,277,856,431,865,904,677,795,695,092,146,548,093,112,270,598,003,
942,510,232,329,771,032,055,186,890,774,798,384,847,186,357,684,375,931,460,
296,996,944,253,898,207,770,272,250,435,078,719,842,034,051,258,431,063,617,
519,695,109,547,857,651,861,902,217,784,679,471,426,398,051,339,164,892,244,
667,499,999,490,959,768,969,315,929,754,773,186,734,668,500,589,047,350,376,
379,344,266,118,905,056,235,190,486,934,254,585,035,789,564,874,663,617,425,
409,848,904,811,147,010,401,644,984,175,251,246,243,427,418,217,193,891,708,
665,780,119,995,677,310,401,267,606,164,054,962,438,679,864,461,535,241,171,
010,346,174,204,025,835,525,862,756,135,455,309,677,465,362,645,533,447,277,
648,857,744,079,858,294,441,031,264,756,454,197,679,386,226,863,787,677,382,
367,087,382,962,993,984,219,063,860,824,886,494,234,109,324,689,502,622,250,
463,131,054,276,679,488,234,604,284,653,674,431,630,914,939,622,481,695,102,
752,021,525,687,775,865,774,757,049,243,524,456,920,187,460,845,872,668,591,
545,320,946,038,907,614,996,619,795,724,117,223,125,514,146,167,305,436,074,
962,887,373,517,192,038,116,854,396,572,662,135,747,306,456,511,436,463,625,
477,572,068,784,731,627,947,700,299,334,680,425,679,935,646,255,066,305,072,
176,587,292,999,000,698,450,790,328,990,738,599,032,949,900,005,115,226,295,
729,341,283,207,223,511,952,402,377,090,783,365,970,384,447,953,790,735,171,
866,384,257,561,865,386,850,765,631,175,528,582,724,034,400,378,622,829,793,
855,338,323,740,102,295,202,536,285,792,957,581,033,787,057,606,202,344,725,
803,570,506,701,002,840,694,074,229,536,505,071,627,676,078,914,645,364,268,
750,235,544,781,352,437,960,818,052,045,392,555,830,779,725,958,970,718,153,
653,954,002,645,048,921,619,012,489,241,928,313,437,405,329,548,081,080,102,
606,735,006,741,076,012,749,025,157,949,139,699,834,282,406,901,797,996,602,
564,259,949,496,872,377,175,170,044,778,364,288,647,922,678,214,408,146,758,
632,897,463,705,238,731,622,420,373,083,394,774,161,968,118,875,638,571,090,
660,856,697,369,136,422,432,522,825,241,231,980,367,144,625,939,472,106,553,
140,055,147,667,271,788,241,070,448,326,248,227,707,010,823,259,413,072,494,
482,842,011,944,667,670,878,938,604,188,266,776,726,251,381,280,875,221,796,
507,001,924,298,681,918,395,249,569,967,497,839,994,176,700,781,159,332,044,
138,041,464,081,265,654,349,933,582,809,604,700,071,661,288,640,771,004,193,
540,743,092,329,750,175,963,092,069,077,383,501,617,564,623,483,981,776,160,
854,900,283,583,009,031,725,841,574,084,342,985,211,000,005,209,829,727,458,
048,465,723,169,750,323,435,156,867,701,589,359,302,298,118,279,405,176,610,
022,729,991,237,103,463,930,917,550,078,725,826,265,156,136,554,288,261,049,
485,527,952,146,238,683,321,579,482,005,803,255,998,755,424,274,339,279,241,
666,951,570,091,296,512,958,331,281,710,346,221,859,032,434,825,341,038,649,
139,130,233,514,507,081,215,824,060,918,842,674,629,868,474,747,237,121,517,
373,459,762,488,620,513,875,276,062,437,966,045,732,473,005,482,930,819,011,
573,573,659,467,688,428,439,044,317,405,789,338,275,305,532,503,337,591,029,
521,690,076,082,987,641,558,899,449,798,381,632,396,771,801,825,578,722,164,
724,298,675,143,204,862,219,311,688,073,917,600,538,679,862,136,884,078,503,
905,959,698,055,921,639,438,111,469,521,623,384,146,925,480,471,944,852,045,
686,310,989,749,881,869,174,508,877,466,481,451,213,428,275,915,829,657,353,
794,154,723,505,584,317,187,921,853,773,610,790,471,666,466,134,226,240,263,
139,139,141,285,565,535,039,715,237,398,142,885,336,748,712,685,332,635,299,
326,399,536,781,352,755,047,878,030,650,448,415,362,022,911,717,866,922,352,
033,425,374,667,212,806,463,608,166,307,533,410,408,635,281,241,850,208,178,
426,423,980,330,172,696,124,814,943,230,641,901,181,461,470,917,540,741,234,
456,500,240,942,670,875,467,568,122,961,272,953,520,246,860,256,942,597,891,
087,615,397,072,953,937,369,486,006,960,218,859,601,356,011,725,263,102,858,
102,236,692,698,107,792,522,657,723,659,555,385,155,300,357,317,957,498,130,
988,715,428,408,944,606,785,520,557,504,411,365,088,491,989,731,123,081,666,
989,368,481,466,294,079,283,933,258,424,845,426,466,098,365,553,125,700,960,
297,744,011,527,598,310,878,661,653,761,532,564,919,942,350,063,494,712,275,
364,934,491,510,406,088,727,831,191,070,657,688,104,906,900,318,123,424,403,
115,936,372,956,905,289,217,278,890,809,509,825,119,740,383,468,189,994,011,
547,647,839,811,671,843,996,039,084,527,594,256,177,261,445,275,068,551,242,
458,816,159,021,845,218,442,614,511,432,217,305,691,945,129,188,772,639,198,
115,525,501,459,048,346,269,047,053,741,620,427,504,207,378,782,376,287,753,
984,054,510,213,154,489,816,899,620,833,297,349,956,857,143,202,095,910,304,
410,528,842,978,167,259,977,095,064,924,695,026,837,611,078,701,483,988,933,
053,240,006,686,443,215,057,185,589,313,145,229,124,092,591,893,820,748,267,
080,679,460,066,034,540,642,610,454,821,661,591,813,038,196,730,258,951,496,
238,008,256,887,081,044,410,385,867,042,116,657,607,427,263,273,341,424,331,
118,381,967,469,093,712,482,596,590,794,475,452,697,805,440,743,199,335,908,
319,769,229,848,045,216,475,269,485,511,160,423,930,692,417,530,400,130,136,
373,497,807,817,483,100,213,021,762,242,728,025,954,369,306,540,785,696,673,
179,663,287,599,729,410,896,148,357,081,944,827,892,255,244,084,937,201,502,
648,384,987,274,362,749,923,122,650,953,570,624,524,065,143,801,806,877,306,
993,760,721,710,179,115,647,959,416,071,135,967,895,254,321,460,862,173,709,
288,154,192,323,426,423,378,064,735,487,601,063,109,210,645,736,004,772,493,
438,934,044,835,541,798,979,943,107,708,851,678,676,874,071,490,900,819,592,
639,615,938,159,614,575,361,671,465,609,524,999,754,614,765,079,516,706,883,
904,465,281,704,892,625,157,011,431,533,736,701,192,897,764,051,164,978,303,
003,394,055,032,580,180,386,595,170,633,001,366,526,082,389,221,574,650,048,
254,711,305,594,828,424,644,043,117,624,174,751,472,289,213,367,334,925,604,
455,738,407,870,230,088,590,826,064,497,569,746,888,970,870,630,631,409,138,
954,945,251,878,734,422,453,394,545,044,640,900,920,331,033,936,089,877,400,
891,501,845,631,298,338,441,638,486,733,044,296,360,414,036,391,043,858,596,
489,481,986,042,986,657,563,792,819,562,231,223,075,308,797,112,271,621,026,
050,675,475,931,515,608,560,230,853,089,920,497,597,547,405,806,453,381,598,
383,137,792,773,005,418,452,279,140,776,897,211,490,116,932,050,920,539,780,
718,878,964,410,401,719,316,862,790,159,884,856,686,557,426,369,242,628,530,
541,469,334,892,502,223,024,483,565,741,182,785,937,723,843,948,414,987,417,
033,666,416,542,170,904,859,239,694,920,871,046,473,001,187,435,786,366,409,
176,851,715,660,819,504,107,210,249,551,561,554,063,707,841,640,335,398,033,
147,043,371,174,259,450,024,034,577,575,856,363,704,381,226,099,327,103,310,
095,145,762,350,530,124,986,583,280,835,476,018,673,200,215,210,598,140,103,
265,931,154,030,920,820,444,206,941,054,496,423,780,744,774,688,588,031,381,
118,107,453,663,646,957,780,865,867,430,079,153,588,443,604,773,754,417,193,
047,991,579,019,135,368,214,851,504,280,120,341,011,699,548,841,233,849,130,
400,904,294,951,108,922,270,937,694,038,727,036,851,044,710,067,431,746,494,
342,376,256,406,752,625,542,490,568,393,081,996,152,089,272,238,200,632,545,
978,374,019,216,929,797,909,911,665,126,751,646,774,763,807,725,772,444,363,
219,548,092,604,007,602,967,457,386,541,679,178,942,077,683,906,346,413,774,
063,109,440,275,397,294,158,532,421,632,118,901,205,158,583,258,406,517,163,
741,551,410,224,888,999,017,812,547,575,271,550,857,872,001,368,102,452,537,
135,258,590,720,144,573,081,708,838,949,657,500,310,724,793,541,912,525,051,
443,174,750,426,410,087,971,353,681,444,577,742,864,043,190,913,403,220,817,
575,598,818,944,485,837,059,505,812,492,176,414,202,343,847,921,121,608,533,
693,535,054,635,993,328,743,759,378,377,005,732,566,871,172,880,386,542,249,
244,443,362,298,309,813,996,963,764,701,342,269,389,205,340,822,355,851,616,
398,483,966,952,153,465,805,951,605,937,527,881,536,300,735,868,765,071,634,
704,840,179,697,119,237,642,337,492,066,139,916,413,555,535,534,619,560,936,
981,848,589,587,956,213,056,446,974,072,894,618,269,195,821,063,081,382,581,
083,312,231,106,990,426,189,842,129,160,755,210,510,032,811,690,325,425,246,
199,871,029,253,012,540,395,709,488,908,737,298,557,500,769,198,008,102,838,
911,879,146,692,849,763,873,730,314,672,534,244,159,491,489,496,077,150,391,
887,931,373,914,400,058,694,415,757,482,025,943,119,365,906,293,570,201,874,
902,518,811,800,761,872,554,976,785,022,855,791,149,586,057,678,860,215,746,
891,731,407,259,065,287,597,664,305,330,062,898,047,809,088,280,338,274,684,
687,342,228,335,695,091,856,263,838,346,947,012,069,533,682,075,689,845,989,
473,703,590,791,393,418,253,033,662,689,827,253,684,573,132,163,903,729,449,
077,366,818,333,244,427,949,317,778,053,965,064,719,211,193,194,133,771,761,
785,004,779,723,795,129,552,072,335,430,973,558,568,468,849,057,855,081,430,
821,753,366,344,739,522,053,571,611,605,789,402,105,997,743,492,361,650,060,
136,763,904,762,643,266,755,758,730,363,504,493,873,018,619,449,076,116,331,
512,593,909,157,784,375,840,796,884,385,699,946,615,054,717,491,028,491,420,
056,475,136,083,247,056,857,033,569,427,339,584,499,966,895,539,277,157,528,
986,280,256,527,676,120,774,186,563,585,321,654,304,131,153,210,413,499,704,
939,845,934,538,825,486,900,226,850,869,288,360,025,144,219,060,399,886,899,
323,638,635,744,013,268,766,489,044,683,326,248,547,617,170,769,840,296,402,
600,500,197,788,609,575,864,014,322,783,021,530,285,763,903,224,719,571,234,
545,202,907,829,406,917,504,571,188,036,846,924,001,362,765,468,247,064,096,
878,038,704,078,721,501,148,489,309,432,066,108,121,611,809,883,273,852,022,
217,528,018,558,773,521,552,772,133,532,016,039,043,540,655,877,352,869,738,
915,889,986,743,132,362,033,899,462,717,598,418,874,963,704,749,467,910,631,
696,181,426,391,943,273,249,693,009,694,227,132,225,121,017,377,230,889,842,
340,596,371,187,123,940,973,129,400,730,530,344,393,426,799,080,726,897,442,
672,478,032,589,739,958,958,978,243,973,152,968,444,973,609,028,037,929,956,
408,800,687,065,017,796,723,519,056,085,494,877,115,544,266,446,379,840,914,
468,620,041,725,194,742,725,180,098,621,908,559,411,652,686,619,458,386,868,
986,756,315,932,299,393,658,538,931,927,287,443,569,624,211,769,968,451,973,
368,240,673,268,544,293,415,297,961,203,427,115,097,476,940,920,700,089,340,
211,218,626,911,392,889,245,163,243,409,038,232,675,687,179,807,789,517,548,
119,049,573,065,031,384,804,164,984,068,198,210,728,068,791,094,911,942,208,
483,664,298,818,311,977,595,262,612,349,731,965,072,858,257,732,377,747,824,
951,636,665,559,078,766,749,866,776,687,325,259,208,858,158,785,505,748,342,
417,533,585,515,259,507,300,801,042,997,010,586,219,248,634,062,855,043,549,
589,296,082,356,265,888,700,657,148,181,362,685,837,774,399,830,936,598,781,
749,108,336,459,091,618,927,356,679,373,227,085,938,088,366,865,542,086,591,
351,745,602,103,461,049,034,588,796,606,456,858,545,072,156,151,875,893,881,
099,909,056,794,484,761,128,286,779,156,672,073,848,874,119,609,678,817,158,
616,567,827,959,729,536,179,780,053,511,801,139,910,374,764,588,027,139,994,
656,838,190,534,610,622,240,984,647,753,044,826,919,017,108,200,126,831,959,
745,667,738,585,461,825,577,231,264,850,266,680,600,667,736,817,027,296,544,
691,570,262,245,115,397,478,607,978,210,558,203,084,897,694,934,851,076,245,
003,966,159,359,574,310,803,548,236,269,020,948,894,467,605,589,183,770,790,
035,822,541,307,933,797,310,126,550,942,836,826,586,379,382,120,888,851,194,
595,802,919,691,026,058,937,667,635,103,490,272,363,809,942,045,056,825,570,
430,451,580,456,661,475,588,436,151,064,587,979,456,144,288,264,835,211,833,
398,592,020,118,039,925,046,092,384,142,152,566,483,105,479,939,669,112,308,
860,959,562,494,135,069,823,428,013,075,938,565,479,713,423,642,089,058,377,
168,404,473,436,242,177,729,415,661,332,395,541,768,986,568,744,751,550,676,
417,778,682,639,119,519,290,469,583,019,074,419,585,166,813,894,529,734,141,
577,597,759,538,054,015,329,626,731,858,340,695,969,313,498,238,559,364,771,
117,623,580,897,094,769,528,709,136,393,055,006,744,176,147,151,121,867,983,
218,054,597,279,537,784,919,859,988,537,837,948,560,091,791,803,291,250,327,
478,903,098,845,599,793,449,701,270,713,141,946,161,690,073,674,228,169,632,
196,526,690,680,655,237,615,572,390,958,243,432,131,475,873,198,591,497,625,
155,434,636,968,108,420,426,008,328,419,480,394,804,178,083,011,872,562,786,
278,631,306,196,668,016,297,318,084,967,827,697,936,521,047,578,250,565,733,
570,708,277,295,806,128,968,890,604,199,385,734,007,436,676,983,062,470,839,
475,399,407,024,428,413,232,901,141,702,046,207,089,091,120,305,789,458,008,
416,752,660,236,807,748,577,932,332,919,273,886,280,161,987,384,491,800,448,
244,763,180,830,082,674,855,334,769,607,306,386,976,654,076,850,559,928,405,
688,280,644,618,603,328,379,222,802,707,563,306,283,075,512,977,402,780,898,
923,067,986,034,992,856,029,303,947,952,114,638,470,848,475,613,440,694,321,
293,029,754,063,954,382,901,235,575,194,580,170,656,201,149,218,153,570,323,
172,386,620,750,988,758,973,434,068,504,434,451,438,835,753,806,257,936,780,
171,445,572,514,104,803,129,900,633,042,341,034,784,791,047,883,043,424,474,
999,993,223,875,324,595,622,162,799,994,833,014,096,729,296,086,763,356,949,
451,604,777,783,166,508,797,486,763,033,739,508,982,974,486,842,799,961,541,
761,712,931,968,425,779,793,157,280,682,611,721,464,680,432,481,134,807,920,
070,602,863,983,950,214,829,166,151,089,242,639,237,405,925,398,894,432,114,
487,677,834,412,503,252,666,128,734,149,360,546,017,083,918,606,347,574,638,
355,926,318,759,363,739,793,727,745,214,788,118,762,988,406,815,343,637,509,
110,314,353,888,633,636,779,740,272,832,198,436,052,253,699,057,864,871,843,
986,757,170,737,018,539,252,327,413,716,911,233,072,477,865,965,242,662,959,
930,818,407,243,638,572,784,360,869,552,155,399,852,083,000,014,148,120,046,
840,952,624,019,187,372,876,192,303,893,371,212,474,815,154,618,303,775,701,
816,011,369,988,540,793,406,704,337,262,851,991,401,779,234,084,505,018,384,
551,426,402,319,066,303,575,996,216,684,359,258,478,289,663,298,173,545,886,
798,624,777,197,415,870,351,907,181,869,248,460,771,673,760,577,150,172,015,
144,791,660,082,587,333,617,493,751,020,299,606,582,118,528,831,839,846,004,
450,222,489,036,634,081,213,369,806,493,256,736,676,366,704,017,697,775,405,
065,037,054,397,681,329,424,874,902,801,565,695,422,214,897,641,936,729,169,
377,447,484,043,578,060,985,693,339,950,758,426,283,771,832,026,629,377,982,
400,964,522,793,662,861,180,378,106,935,703,180,439,702,339,046,153,612,882,
437,346,234,763,136,801,687,001,430,904,378,743,586,840,857,164,358,678,089,
581,204,715,621,598,385,133,671,016,815,047,859,677,656,698,690,394,526,990,
350,768,660,605,965,849,084,114,955,653,771,557,671,103,551,463,739,428,536,
985,753,043,841,596,334,401,196,318,914,030,114,602,463,181,628,950,965,200,
132,064,898,335,369,505,593,913,027,569,219,244,090,780,489,594,730,195,626,
776,999,879,765,557,712,441,705,331,561,675,590,542,230,092,003,706,738,159,
504,580,563,556,179,900,191,581,765,363,823,870,947,437,842,209,619,165,152,
107,613,677,406,965,298,465,586,536,606,464,963,232,693,150,402,516,019,637,
884,536,143,067,162,293,249,004,653,351,596,719,223,728,651,898,996,104,560,
513,224,533,979,422,284,827,922,744,646,350,551,522,804,320,111,409,912,805,
425,829,973,628,002,848,662,960,114,266,704,695,512,984,954,566,141,318,445,
975,218,775,051,457,261,802,235,606,781,008,995,216,839,783,421,633,268,591,
457,820,410,888,225,680,638,288,971,214,272,111,262,150,445,460,190,758,936,
502,838,667,670,811,610,455,507,564,544,838,434,670,242,732,693,395,576,062,
251,900,393,999,270,375,129,183,330,670,765,496,109,467,029,133,801,420,054,
551,580,319,787,292,149,961,085,999,288,324,831,360,747,253,480,225,424,051,
544,018,762,114,006,836,636,525,071,942,908,720,402,633,117,858,661,691,023,
956,698,035,367,325,251,723,443,333,426,099,395,018,255,175,554,482,532,815,
986,364,466,874,091,868,685,138,893,008,116,303,688,280,011,303,584,861,959,
348,510,367,950,263,044,084,093,353,215,286,571,252,291,384,120,698,844,540,
309,218,417,465,938,439,182,201,873,375,003,896,347,524,999,848,041,624,431,
537,591,084,420,398,282,150,798,466,097,195,953,047,106,215,369,042,302,456,
010,551,585,087,373,094,889,178,084,513,828,828,743,969,976,139,125,167,325,
133,375,889,462,182,760,225,746,611,126,712,632,432,233,098,198,064,519,221,
820,960,252,948,668,175,145,308,328,996,532,587,080,816,082,108,477,470,367,
009,570,909,180,882,299,656,715,078,272,073,846,110,794,161,749,047,391,977,
312,299,962,364,953,656,666,415,716,850,605,480,406,823,011,136,148,100,460,
189,662,593,299,579,110,407,428,866,823,978,258,330,594,735,974,917,836,738,
269,236,788,120,231,127,933,051,475,281,585,422,160,211,460,176,004,924,951,
622,722,316,294,224,266,134,591,551,006,834,090,119,664,597,144,802,660,263,
799,457,939,005,928,759,382,522,930,983,131,619,846,052,198,247,588,256,561,
876,886,227,946,980,533,335,287,653,855,516,784,689,318,300,012,367,310,627,
784,140,771,069,958,723,224,446,106,316,859,829,991,559,206,673,719,052,008,
470,713,438,793,776,534,429,879,471,211,909,699,079,012,649,442,535,943,668,
773,922,071,531,428,724,809,851,609,956,910,591,611,822,711,423,992,422,913,
576,645,862,145,018,989,773,173,236,327,298,168,010,872,807,607,690,700,344,
170,641,514,192,287,694,001,668,274,364,462,262,473,227,404,169,090,338,234,
416,539,839,589,139,751,025,321,763,133,385,237,016,431,755,220,464,890,634,
516,227,613,123,908,840,863,154,988,056,149,243,931,839,196,014,092,913,138,
874,784,327,936,515,345,108,279,463,524,313,063,802,222,934,303,049,550,619,
414,952,003,644,393,993,836,445,046,712,432,689,495,609,461,424,243,433,512,
957,295,624,310,041,847,164,626,934,489,676,557,260,971,339,563,175,243,284,
707,086,662,636,835,015,006,812,883,790,648,409,691,595,196,388,980,095,556,
062,223,115,929,314,425,120,401,588,969,232,400,170,376,000,372,567,026,170,
622,349,174,523,317,530,064,445,752,419,401,755,346,723,935,976,732,907,408,
268,015,594,029,704,167,000,296,243,963,018,694,181,302,477,170,950,322,016,
919,582,210,111,664,317,780,106,459,342,703,922,201,081,370,659,721,737,985,
112,421,377,414,633,137,151,301,860,671,381,098,193,195,187,442,810,642,652,
728,382,795,248,946,509,363,397,992,533,170,986,035,646,882,666,175,275,267,
238,844,191,112,420,191,410,103,286,716,752,856,013,235,788,189,776,155,200,
559,709,150,150,359,522,021,249,521,639,216,287,347,766,232,856,338,899,846,
680,951,953,453,837,519,168,735,367,620,729,500,077,582,336,850,322,526,189,
716,686,503,403,132,025,909,823,916,588,727,756,526,540,640,387,371,415,673,
096,023,860,494,762,900,470,875,407,331,103,928,705,754,775,435,665,599,822,
282,555,831,370,138,018,797,871,603,608,909,779,637,673,326,588,755,296,495,
371,279,226,510,080,694,345,145,926,502,558,820,450,392,659,645,648,683,756,
024,516,377,590,380,578,021,123,394,245,719,357,293,737,528,610,324,215,405,
269,768,486,344,451,053,153,269,077,969,572,806,032,433,062,257,015,968,408,
142,182,629,282,319,376,502,875,817,282,367,527,874,814,927,684,671,223,872,
024,361,367,767,933,134,303,815,690,110,087,577,965,000,820,530,205,269,855,
689,693,604,854,350,151,839,708,550,827,149,678,857,566,461,758,385,608,623,
712,322,424,571,585,999,546,997,753,348,599,900,390,348,959,551,520,318,448,
362,947,867,434,322,930,009,767,487,629,681,897,916,599,850,036,663,235,999,
396,879,786,942,018,491,263,104,255,020,440,728,976,989,099,853,097,032,362,
234,797,566,876,112,145,060,276,303,821,593,508,941,255,237,701,686,193,052,
805,590,486,442,621,835,843,841,621,266,724,220,433,259,134,553,520,183,657,
505,692,341,307,145,678,627,375,785,049,092,028,021,149,495,051,275,381,499,
711,240,677,854,386,075,586,698,810,782,542,320,048,059,715,951,176,615,252,
504,330,488,026,153,659,892,724,634,899,659,927,754,283,173,474,005,734,202,
184,271,752,630,749,146,611,970,929,443,371,346,391,247,883,373,898,410,992,
924,086,713,070,283,897,083,906,500,542,176,952,738,870,113,021,746,317,231,
790,946,508,220,946,625,348,111,015,830,285,183,398,323,498,430,566,038,181,
947,357,547,215,444,754,906,770,916,731,751,923,747,736,391,770,560,603,445,
114,555,965,120,423,645,876,851,442,802,150,803,861,176,536,920,404,654,101,
744,638,965,570,926,368,589,732,389,020,713,825,388,109,051,664,380,316,925,
792,106,746,661,876,211,766,200,195,892,824,269,881,179,886,238,791,557,051,
454,445,827,872,026,261,156,273,569,859,573,831,996,783,140,280,698,446,904,
051,927,999,881,108,344,992,311,148,674,104,171,049,355,856,107,516,087,718,
557,593,061,088,047,864,313,388,777,212,927,703,119,951,704,604,029,906,140,
990,145,421,717,256,326,116,004,387,662,889,736,374,134,156,757,596,626,811,
400,208,778,039,663,629,242,501,669,144,496,622,791,250,999,163,530,860,850,
904,807,475,381,604,279,238,518,747,478,407,260,335,447,461,266,094,410,363,
297,605,959,794,896,619,894,162,235,953,905,682,495,184,570,951,631,533,548,
517,329,145,683,355,245,683,375,781,035,716,228,341,181,037,743,266,089,186,
454,528,615,978,410,132,601,006,913,478,006,484,572,453,889,496,968,544,729,
178,360,967,664,137,499,777,984,749,923,716,665,327,862,652,951,067,399,332,
419,224,277,409,631,787,896,513,923,585,952,585,408,418,945,693,728,806,684,
867,560,632,940,918,621,676,885,774,809,754,983,995,232,288,639,544,872,237,
454,253,229,569,799,448,933,785,623,642,318,889,917,595,467,971,914,031,916,
019,939,546,081,911,018,941,385,512,318,686,556,690,097,278,491,249,042,216,
868,327,146,694,214,860,814,144,291,059,849,928,076,416,620,677,422,889,551,
191,689,757,358,981,011,977,355,049,425,160,739,415,402,537,441,110,885,089,
201,794,513,185,382,222,427,529,944,541,912,767,267,990,478,890,990,441,140,
479,300,129,576,927,937,567,435,688,063,416,523,595,638,307,168,569,390,057,
110,745,147,849,575,324,120,821,071,253,980,971,900,121,595,878,340,530,140,
017,417,318,091,114,980,074,039,506,263,176,404,185,739,080,041,645,581,962,
489,120,872,682,012,744,785,127,000,848,538,719,774,767,533,411,943,977,381,
994,050,578,028,775,065,644,072,432,443,985,389,662,333,210,202,477,523,627,
504,537,884,376,804,340,931,048,236,149,091,957,608,213,917,831,906,145,848,
900,614,640,120,959,155,351,078,138,631,085,248,886,307,712,812,720,957,044,
274,003,279,454,451,515,274,208,594,043,704,467,413,887,350,883,018,691,132,
356,454,644,919,763,872,046,090,122,728,291,749,203,129,418,910,504,263,614,
489,145,652,053,289,661,618,733,168,999,347,674,834,230,729,252,996,443,810,
661,016,358,058,521,532,766,976,826,079,399,900,756,660,520,582,735,381,295,
171,308,977,050,548,901,413,349,527,094,076,346,208,103,422,836,728,176,158,
230,037,399,315,012,536,549,965,134,481,029,783,462,379,137,555,727,631,755,
319,868,254,180,182,961,622,291,695,575,398,549,876,715,096,330,122,375,856,
663,603,462,251,619,868,107,345,154,938,551,354,628,290,447,441,947,940,417,
874,845,274,402,290,793,418,051,347,643,829,739,430,132,155,596,704,565,925,
396,938,018,536,954,569,809,534,016,296,533,557,015,185,154,214,697,733,177,
482,248,726,130,019,141,001,248,739,245,872,571,998,387,602,428,133,890,209,
834,901,735,318,550,946,579,274,429,789,940,535,035,358,899,577,772,716,320,
306,094,654,448,663,759,680,826,693,619,452,898,393,274,506,279,181,810,497,
193,328,172,273,168,671,958,451,554,251,532,061,838,378,883,873,059,870,419,
266,828,421,774,905,198,327,927,193,285,317,618,418,966,217,032,005,960,402,
177,463,464,655,660,831,165,511,797,260,652,970,547,478,754,008,025,909,492,
380,301,526,814,899,520,296,096,300,471,528,458,200,422,362,129,625,167,356,
961,109,204,068,437,740,119,280,101,399,992,988,417,535,605,054,424,783,814,
433,828,778,358,991,748,631,718,732,102,559,886,244,354,338,604,120,145,908,
625,524,414,609,872,391,116,486,381,221,346,972,272,729,319,320,142,476,342,
144,405,390,661,325,537,078,284,606,993,460,694,821,231,119,076,838,743,801,
482,527,794,347,884,299,389,818,736,820,109,256,101,756,693,284,567,908,361,
770,776,549,580,137,019,588,621,548,454,493,327,062,406,871,648,199,685,466,
422,254,553,552,143,151,519,380,460,039,181,924,610,502,028,959,940,663,693,
433,449,882,172,056,546,791,924,995,336,040,143,037,480,411,025,909,648,472,
692,979,651,197,498,201,925,113,498,055,757,985,247,913,221,890,903,078,263,
503,525,530,234,581,297,391,001,205,083,625,641,376,155,509,304,195,890,859,
985,399,687,007,226,661,576,813,062,968,609,391,223,207,605,930,163,361,236,
400,118,712,771,887,781,111,061,842,129,026,263,435,170,544,179,422,185,554,
723,495,548,042,762,057,562,973,484,351,112,278,827,625,287,818,204,927,568,
733,378,497,842,008,125,828,114,153,000,108,389,526,523,814,093,566,434,349,
982,935,643,237,474,520,012,250,547,792,015,035,120,339,060,145,903,867,300,
888,546,162,123,882,019,983,284,888,635,348,118,166,901,828,899,822,757,482,
902,226,365,293,285,378,400,059,073,344,432,339,310,653,754,050,532,471,200,
380,676,024,365,186,001,582,248,624,688,124,827,059,689,986,287,868,946,884,
095,504,610,927,820,148,553,874,290,252,750,345,240,941,191,135,258,862,055,
680,538,736,699,115,184,882,694,706,114,661,077,732,436,475,127,351,862,641,
307,964,057,596,629,184,728,660,596,604,466,972,829,494,084,326,049,659,954,
698,090,762,374,684,957,900,844,425,360,030,394,184,963,688,788,835,261,785,
889,541,336,638,491,110,511,260,687,409,112,642,622,632,030,597,201,799,044,
116,751,828,874,335,790,109,477,667,999,475,068,905,454,549,140,748,207,668,
152,346,167,572,832,848,016,169,771,826,794,569,258,470,885,055,123,144,011,
437,676,335,132,897,075,960,004,655,213,120,452,857,428,828,985,501,828,572,
792,870,441,009,443,726,996,478,017,136,996,884,107,156,354,363,905,107,139,
322,301,499,930,415,928,474,422,178,096,055,190,727,427,442,565,689,077,045,
372,369,271,919,214,480,320,457,781,789,492,662,948,489,126,295,659,300,086,
980,941,852,186,773,275,056,788,269,092,367,197,617,741,549,654,284,836,154,
421,635,573,625,049,194,309,900,891,704,603,089,025,110,286,938,851,716,146,
579,209,489,702,115,934,022,300,265,347,389,175,603,869,321,063,076,912,794,
330,958,853,037,935,937,688,550,052,385,736,989,381,620,548,885,554,452,875,
947,713,893,313,568,350,461,059,481,724,977,963,883,682,723,512,333,012,021,
397,157,875,340,260,188,638,123,316,964,336,046,983,894,016,785,649,041,257,
845,728,811,299,447,747,589,205,420,260,061,283,007,027,074,938,313,940,571,
287,012,988,832,517,363,075,398,328,412,129,228,979,265,246,524,004,673,279,
325,275,829,970,386,471,124,392,887,083,518,054,319,751,727,548,780,470,440,
366,975,568,194,998,995,541,207,516,128,015,413,182,963,461,427,911,846,581,
479,311,085,675,983,802,390,479,346,264,558,865,751,121,890,360,851,971,295,
698,027,819,717,126,235,544,525,844,539,253,065,046,742,881,080,676,049,017,
446,448,564,567,916,196,786,960,909,315,340,832,471,153,532,809,319,609,171,
901,959,372,926,383,499,267,005,281,345,879,929,991,704,777,814,546,338,330,
661,927,186,559,787,867,687,044,758,012,986,124,787,906,342,269,949,316,694,
283,460,204,256,103,705,968,581,993,504,073,735,838,323,985,583,695,912,326,
876,852,725,033,625,838,770,168,636,155,604,703,981,128,143,928,173,918,409,
747,558,548,119,070,242,801,219,083,801,260,978,792,360,491,788,401,602,180,
387,524,040,590,754,564,678,910,830,668,673,969,319,405,810,336,229,855,281,
936,804,393,136,500,429,531,075,637,333,752,420,692,987,266,772,527,331,192,
189,353,108,721,472,577,360,722,351,944,094,359,875,670,618,772,385,795,203,
530,772,217,967,220,265,247,259,962,993,452,215,373,713,745,239,135,460,789,
880,790,106,862,569,307,647,005,963,842,859,738,563,439,447,701,199,997,049,
583,816,200,456,760,568,960,898,066,036,607,824,078,348,776,297,233,531,598,
275,069,982,659,498,667,517,197,695,788,210,231,794,195,063,418,134,400,974,
795,302,202,333,372,788,237,934,845,608,835,505,992,801,972,319,523,779,784,
605,844,163,018,036,995,262,051,382,410,169,740,013,420,234,600,286,939,770,
679,082,427,783,000,767,243,114,220,406,313,268,549,716,854,219,536,205,747,
713,030,266,897,065,317,635,110,961,086,426,310,250,568,651,950,436,733,025,
881,736,448,884,022,553,029,092,828,894,454,961,246,096,049,051,320,088,930,
141,052,631,957,168,252,341,736,393,148,857,787,577,396,982,652,691,471,399,
130,145,589,407,687,834,785,270,566,167,966,267,177,690,756,845,183,339,361,
884,453,909,683,471,555,829,145,478,055,422,995,690,942,829,294,486,136,116,
263,169,124,054,493,338,839,232,917,603,562,167,446,485,884,267,274,751,697,
978,546,191,482,925,038,604,127,584,329,981,728,635,202,622,732,185,256,130,
968,969,771,153,926,715,238,203,408,197,605,324,471,465,505,658,088,239,709,
909,379,194,883,949,267,493,032,700,310,578,863,592,257,012,202,401,274,756,
763,007,517,780,897,117,044,558,694,404,802,601,335,538,262,494,310,305,743,
710,177,491,571,104,168,114,424,055,044,970,845,363,746,672,046,778,216,986,
433,463,804,177,664,802,527,912,986,198,162,157,327,487,047,269,923,359,964,
320,244,876,383,756,189,311,811,758,778,618,874,636,510,358,684,586,231,829,
467,319,480,213,430,936,733,888,920,224,191,869,119,832,673,604,096,436,062,
453,882,117,233,500,746,635,533,472,304,003,938,640,624,962,497,092,893,939,
504,250,693,605,867,226,996,244,228,407,166,607,612,663,911,774,451,345,995,
906,014,163,505,898,229,461,034,754,616,075,094,774,681,965,109,741,266,948,
552,892,668,189,622,051,155,907,346,567,598,122,040,400,919,536,685,083,979,
670,784,308,873,774,283,705,330,427,350,379,511,319,750,116,520,141,344,336,
102,242,695,747,450,721,639,555,173,573,306,273,836,018,637,457,566,522,992,
689,888,234,766,057,305,113,099,080,740,885,661,771,549,204,257,842,743,158,
015,450,290,895,525,691,570,155,916,504,790,434,434,734,658,388,851,473,140,
957,113,751,461,067,563,788,788,443,811,452,964,657,182,610,791,728,181,679,
993,441,350,454,551,912,786,927,767,300,497,518,437,498,403,655,267,998,143,
435,897,129,868,394,065,620,531,627,054,619,013,001,653,827,090,435,236,478,
444,149,442,810,349,843,177,598,027,193,662,415,369,902,582,292,771,929,256,
753,580,957,286,787,575,412,478,670,547,475,341,846,054,316,992,027,103,344,
037,004,423,623,930,715,187,850,165,975,122,146,331,252,781,640,483,608,498,
121,093,264,157,790,105,909,710,060,343,118,420,112,130,307,221,772,305,325,
233,925,290,645,955,482,255,004,630,028,200,210,873,144,216,725,072,191,693,
918,742,862,749,170,965,366,441,874,200,418,296,600,523,325,081,155,870,365,
751,874,059,372,411,680,312,644,581,419,032,916,819,041,364,923,657,351,245,
700,892,336,691,071,265,870,889,588,107,837,132,353,087,729,644,190,773,323,
398,361,172,938,743,224,048,279,810,980,456,625,577,745,787,938,361,271,780,
228,410,222,213,299,845,223,524,752,485,141,844,518,551,262,906,865,676,148,
676,517,138,043,317,945,905,132,887,442,932,954,032,102,524,981,873,989,506,
065,569,182,923,067,307,704,811,817,868,069,197,737,349,551,414,483,712,374,
430,007,477,774,941,962,883,480,566,599,077,779,686,994,242,972,898,812,782,
738,139,231,432,622,953,903,965,640,457,565,988,779,349,504,066,797,999,379,
466,903,606,152,228,897,575,414,293,990,629,387,236,142,284,309,522,539,847,
925,577,987,583,577,032,671,281,371,637,987,492,290,234,255,523,591,034,544,
710,994,226,399,831,263,574,775,532,676,493,673,943,455,809,113,463,056,756,
244,222,676,136,519,954,022,261,819,105,251,228,636,142,739,091,415,782,673,
450,432,338,179,056,476,667,121,796,202,389,141,775,694,138,816,423,970,455,
192,520,516,551,510,724,344,373,783,920,151,559,821,634,208,259,878,230,394,
968,797,573,384,826,618,295,775,772,025,088,948,373,244,231,261,569,172,553,
803,881,235,801,783,776,096,549,529,389,460,799,320,063,524,871,292,690,598,
426,536,964,458,937,812,698,044,453,832,433,525,746,012,219,096,907,335,416,
772,244,055,423,936,151,320,777,499,001,067,026,114,471,417,891,346,721,472,
651,958,734,496,735,476,089,546,920,021,719,442,172,748,750,269,599,220,604,
671,229,449,767,603,581,979,818,974,030,394,768,592,080,006,903,192,929,920,
919,392,210,156,985,584,400,392,612,064,382,548,921,994,713,586,975,714,812,
801,743,488,906,907,620,883,074,171,455,578,071,450,461,124,552,174,065,383,
038,867,020,608,501,400,432,203,035,530,884,412,965,890,683,094,988,574,952,
723,964,840,001,320,776,116,656,457,240,312,290,727,597,341,636,796,242,438,
285,020,441,401,523,687,909,757,813,035,035,910,274,640,265,538,523,787,685,
310,817,579,287,868,115,263,578,969,867,736,519,955,786,299,208,409,645,852,
726,521,470,170,016,408,696,233,038,534,189,333,020,790,080,041,528,754,702,
105,056,228,260,291,166,197,864,986,758,137,226,313,763,009,727,081,523,009,
805,773,146,244,300,777,327,205,613,096,703,675,777,593,674,865,557,770,733,
330,021,084,551,892,167,421,143,733,927,268,085,040,590,744,859,700,318,770,
856,154,935,852,176,094,776,720,366,829,451,854,250,801,061,754,293,792,992,
581,035,581,259,537,633,140,392,030,538,384,915,099,855,819,557,913,372,136,
501,248,253,301,305,588,892,457,517,156,130,166,114,097,847,835,146,030,245,
190,445,868,971,027,126,487,945,083,874,370,285,654,795,705,561,609,950,380,
288,295,636,899,375,588,933,275,452,690,218,112,290,910,390,285,061,473,280,
252,273,058,189,702,278,959,859,270,781,909,849,281,343,476,870,116,990,043,
208,841,967,522,719,248,613,781,445,926,018,704,520,095,465,775,900,833,727,
510,752,673,275,424,968,188,607,417,230,176,040,487,624,895,252,809,776,656,
571,706,443,809,768,723,149,692,568,648,265,306,948,674,164,765,954,597,983,
412,503,640,201,031,930,359,645,186,624,853,920,890,029,791,736,700,005,392,
816,964,770,918,980,216,613,462,756,775,994,201,592,899,498,017,915,846,064,
324,607,450,342,548,381,583,476,017,913,838,028,496,981,302,943,518,352,214,
285,263,421,823,680,692,787,940,264,635,105,817,119,687,792,715,262,173,505,
719,499,001,755,522,061,501,576,186,835,379,256,285,637,473,844,841,099,219,
868,286,020,792,771,872,645,001,971,148,622,039,923,892,086,632,572,534,524,
530,933,886,261,423,530,936,411,058,840,136,594,621,044,179,091,815,715,838,
326,639,476,329,857,133,520,495,828,065,928,866,273,610,344,591,924,695,892,
681,078,716,481,341,079,715,629,464,327,726,865,809,005,877,498,336,342,230,
860,562,231,963,492,147,505,261,426,530,178,145,848,787,129,561,015,658,551,
253,374,970,512,444,606,069,755,599,731,336,731,786,531,802,910,923,777,747,
389,731,269,592,210,099,153,878,442,926,363,951,497,700,015,219,213,474,373,
704,999,627,524,800,941,541,701,658,142,954,952,986,917,892,941,450,871,474,
957,648,797,122,899,708,053,195,511,145,682,574,186,146,885,050,038,128,203,
082,244,529,465,257,283,381,776,917,026,365,858,007,522,087,989,729,128,180,
245,984,074,795,527,285,457,199,335,265,008,395,632,787,798,795,738,389,552,
101,383,770,587,899,740,414,736,835,980,948,304,043,300,787,447,278,477,948,
889,712,296,669,227,630,464,615,188,604,003,279,713,233,489,886,188,630,059,
833,048,808,253,513,941,609,382,378,257,490,034,093,132,763,970,671,897,692,
633,335,138,803,800,126,548,999,799,645,105,434,630,056,251,634,409,799,849,
584,658,973,202,500,798,805,472,550,404,601,492,819,348,712,531,039,342,247,
773,418,097,391,331,832,215,259,328,921,923,268,763,547,411,144,536,931,107,
621,053,397,426,075,488,095,128,917,202,041,984,287,680,051,966,611,494,518,
921,894,026,539,871,494,721,874,911,964,782,316,311,828,426,584,594,728,926,
730,259,328,601,444,631,781,952,869,225,480,768,796,408,308,910,658,844,880,
142,747,720,431,499,538,011,900,747,199,306,382,810,988,008,572,093,981,767,
450,110,747,778,890,426,767,750,952,086,764,562,696,692,658,364,769,389,638,
909,599,921,308,452,809,628,308,828,509,608,384,354,575,109,224,233,659,918,
776,111,650,868,732,446,030,663,845,745,851,146,508,849,076,785,679,869,825,
558,438,359,346,071,453,738,006,948,480,093,956,303,793,117,225,969,576,319,
927,303,042,718,243,618,374,431,554,343,929,495,137,664,204,091,542,615,235,
754,500,261,996,321,865,594,196,434,156,823,189,665,284,075,373,513,310,266,
108,293,959,999,734,451,418,616,994,684,613,363,512,186,915,040,762,170,436,
421,260,219,220,723,277,962,700,343,475,109,241,522,145,724,158,585,721,186,
856,746,125,565,529,363,350,397,005,449,541,203,255,209,583,364,100,780,545,
567,893,381,765,123,079,794,333,602,107,148,512,700,151,656,046,748,792,320,
342,843,789,959,391,434,964,304,723,710,074,979,070,581,806,232,440,734,366,
810,881,249,347,866,358,562,104,170,153,774,898,691,100,836,679,931,449,908,
805,804,223,553,409,367,963,582,909,525,606,927,443,801,437,578,280,371,920,
850,736,313,283,786,465,308,764,639,558,923,100,068,388,866,858,285,694,262,
735,325,095,658,766,889,880,526,607,041,234,311,957,256,900,320,794,008,910,
904,450,588,590,378,623,306,948,318,694,875,697,627,311,542,554,956,545,726,
141,303,649,202,118,317,951,730,976,520,459,288,420,125,035,822,274,460,179,
312,134,128,743,374,050,263,710,946,025,375,871,943,924,490,999,230,679,183,
372,351,668,105,719,117,232,757,921,836,150,514,643,808,459,599,800,521,501,
762,676,818,000,833,779,124,889,537,028,213,981,016,038,598,607,829,377,095,
392,192,001,972,675,448,396,948,050,023,477,393,507,063,571,032,142,534,120,
891,319,678,680,701,219,985,478,358,231,859,150,202,675,046,443,033,357,368,
249,699,103,832,285,379,328,657,466,984,175,955,241,599,408,711,923,878,071,
694,281,089,306,853,644,324,846,190,836,169,949,858,821,057,891,229,872,105,
953,568,502,343,505,341,283,743,716,008,277,376,050,122,136,956,705,870,871,
332,670,082,914,444,091,860,826,121,024,307,148,582,826,564,943,294,849,981,
944,575,535,627,410,832,398,603,657,714,944,257,178,593,373,496,889,047,279,
746,229,861,047,761,781,862,840,893,108,210,166,051,130,838,527,478,984,890,
306,676,225,177,908,192,092,350,602,803,912,337,650,951,575,609,072,503,732,
876,009,642,573,794,003,821,258,960,725,820,706,473,751,812,024,975,260,751,
424,387,190,509,871,800,063,621,311,824,963,066,579,618,738,966,044,152,645,
941,616,433,979,352,086,800,005,361,954,520,178,014,697,255,339,534,245,348,
644,173,710,426,988,067,107,639,235,801,831,479,689,030,541,539,236,970,266,
372,682,671,979,745,667,307,951,237,908,496,876,960,396,897,815,408,145,595,
300,891,596,031,821,517,882,752,443,183,934,833,796,324,562,640,710,288,539,
899,184,084,016,971,653,422,051,366,983,597,182,406,783,229,677,593,370,873,
182,097,908,517,527,629,022,094,379,835,418,628,368,566,596,740,427,577,149,
695,767,708,457,451,922,471,801,831,441,285,586,297,261,792,676,404,599,421,
115,742,385,603,181,635,947,022,594,603,221,248,822,261,611,627,985,592,850,
201,242,040,997,900,026,094,146,483,182,379,049,634,425,009,729,699,173,167,
358,454,506,452,785,221,127,313,808,906,824,395,293,608,873,775,134,843,068,
323,028,516,790,752,088,392,764,161,278,964,956,514,330,749,122,223,669,411,
513,860,699,682,095,212,267,306,747,035,130,180,594,263,442,900,161,842,462,
248,082,708,363,728,428,021,235,518,400,673,068,963,054,753,470,355,149,571,
044,084,173,887,158,483,326,628,564,469,092,931,430,580,577,209,334,195,042,
683,583,638,523,064,303,028,834,879,252,155,340,505,073,450,782,487,311,228,
381,783,283,766,421,174,795,599,790,939,130,192,403,738,806,879,515,516,426,
451,088,809,717,993,383,602,749,194,152,403,484,919,449,705,483,325,852,318,
903,857,204,059,703,303,154,274,879,442,623,494,104,288,726,380,119,477,792,
791,035,095,742,078,456,090,410,149,080,369,220,869,043,589,701,105,331,128,
352,201,798,673,832,137,885,747,027,715,821,183,118,730,209,447,311,450,886,
389,810,021,019,420,576,818,296,439,986,190,965,184,729,595,179,168,782,862,
526,276,837,860,475,122,723,824,994,030,289,560,848,756,638,315,628,384,312,
865,338,880,108,238,251,070,426,494,806,797,066,071,353,703,516,933,464,914,
920,484,834,804,108,628,594,218,430,542,617,210,546,628,849,454,382,251,824,
688,398,248,378,955,297,086,748,774,545,081,953,368,932,687,064,070,544,639,
078,592,125,797,147,233,009,103,819,860,935,991,998,770,238,818,685,171,190,
738,380,549,927,316,671,313,750,226,812,043,294,038,036,865,772,471,464,976,
011,281,304,739,220,353,488,204,911,511,974,086,431,312,836,727,516,339,047,
027,441,983,774,742,613,558,391,088,222,589,834,190,360,684,955,201,902,934,
380,083,182,786,531,832,217,735,946,103,855,608,885,907,148,055,642,634,860,
751,041,357,117,883,326,601,987,505,397,615,587,454,381,573,338,252,537,300,
245,287,662,438,779,138,130,499,508,726,423,768,295,727,381,596,893,401,701,
832,881,184,219,967,801,591,517,380,893,452,908,952,950,532,343,117,963,731,
663,041,671,313,206,984,926,470,043,795,572,093,996,672,196,025,503,819,289,
566,987,928,787,982,184,239,776,788,565,269,644,398,297,833,499,723,103,676,
784,481,037,946,771,446,613,092,387,913,443,982,893,953,313,034,668,232,666,
944,299,774,448,284,439,495,068,923,499,680,591,146,766,528,150,096,517,382,
520,908,350,136,421,125,427,167,390,256,662,935,138,005,803,557,137,113,330,
523,728,586,168,142,329,421,322,675,155,255,189,878,781,999,100,675,004,292,
119,394,877,814,768,782,045,051,355,389,912,633,210,876,865,296,367,364,354,
964,853,182,469,368,742,659,732,026,362,109,351,137,896,185,862,890,660,464,
907,226,124,330,014,431,738,835,938,860,174,916,184,015,316,170,068,394,193,
485,140,506,363,603,947,527,872,787,951,850,986,406,023,317,236,233,883,881,
368,900,624,152,966,689,772,520,533,865,648,710,560,183,300,630,209,024,321,
503,727,198,201,624,976,107,503,176,343,825,989,402,497,823,289,911,424,192,
263,561,368,909,681,944,416,165,437,024,403,381,702,020,740,629,764,382,819,
349,231,181,732,551,833,941,283,263,990,484,512,962,225,501,103,278,117,288,
234,711,802,349,004,686,694,144,419,989,080,742,061,412,853,578,308,728,910,
970,657,546,951,592,896,148,961,990,501,023,385,980,784,739,341,509,568,115,
292,555,124,812,277,720,335,478,863,546,503,521,710,716,255,891,882,667,009,
562,004,944,416,671,205,949,558,071,772,280,367,993,380,442,326,944,530,452,
828,758,717,461,684,253,737,172,219,244,444,250,933,921,414,123,957,392,053,
852,046,586,689,384,932,597,602,559,133,034,416,513,964,397,938,394,573,326,
375,976,588,919,666,976,285,433,009,705,464,477,635,822,179,389,714,614,165,
120,442,248,654,975,320,816,428,433,123,383,427,877,062,439,520,606,895,399,
125,273,248,553,354,641,757,246,014,694,988,654,596,428,405,545,719,274,626,
325,084,957,386,582,968,194,270,630,097,748,461,461,799,100,888,683,668,417,
517,577,457,122,474,471,671,245,613,731,654,044,134,087,449,594,306,767,713,
036,502,237,886,722,936,329,320,145,481,230,181,992,961,447,217,351,990,665,
949,618,855,326,064,275,809,781,719,893,519,630,339,111,550,135,580,246,005,
970,689,438,925,830,095,729,333,754,063,253,513,687,726,154,313,086,102,497,
499,927,386,368,703,866,489,838,926,951,275,295,666,815,421,118,575,665,681,
708,429,223,298,699,885,218,779,192,885,459,760,232,124,912,463,328,873,475,
875,806,529,741,251,012,241,138,591,918,545,624,794,866,526,474,861,791,828,
780,604,999,715,079,052,860,011,628,595,457,926,463,080,318,610,917,527,466,
729,268,345,395,198,563,952,651,194,130,490,556,505,140,833,387,815,892,637,
617,870,166,719,317,149,336,462,078,987,025,916,759,597,040,674,420,808,384,
430,742,031,303,366,307,713,620,653,314,671,053,117,348,338,667,222,145,347,
659,719,627,142,947,776,087,083,533,819,204,809,378,875,317,999,210,635,096,
090,452,621,179,274,409,470,198,050,036,592,242,811,559,271,869,955,252,126,
427,471,713,133,426,172,173,988,359,651,786,880,728,554,357,429,553,490,572,
818,734,307,227,853,707,226,514,148,320,774,259,170,895,369,968,313,523,255,
029,930,097,960,831,028,315,326,450,967,563,845,817,083,410,510,342,381,668,
743,885,300,156,412,290,945,710,196,021,433,494,868,191,526,120,940,555,234,
247,361,135,927,106,579,579,374,528,984,276,152,753,052,624,049,491,732,022,
480,493,547,068,910,304,843,184,919,970,111,551,893,819,856,387,493,868,124,
450,057,434,357,841,624,545,297,063,605,442,715,705,537,477,080,462,898,156,
920,932,582,287,030,764,440,637,771,054,851,002,228,320,657,997,575,561,073,
308,058,030,438,879,773,399,901,751,793,203,495,848,194,909,111,155,428,212,
712,441,100,419,627,464,463,483,556,547,792,327,953,611,447,211,301,324,058,
391,963,004,072,732,726,154,763,304,642,417,589,046,020,644,285,436,211,474,
807,101,873,998,219,421,516,360,606,574,824,059,738,549,073,721,812,054,097,
473,747,574,627,795,732,594,573,775,533,203,904,723,056,031,969,974,708,868,
343,264,570,889,207,117,120,801,956,165,771,499,478,995,223,385,750,644,854,
150,934,805,244,903,238,738,446,166,177,812,229,331,121,611,066,295,243,474,
856,838,964,538,827,446,983,854,054,019,245,284,502,401,842,284,840,640,733,
635,927,706,089,920,538,810,879,018,141,503,179,778,783,804,957,096,243,286,
247,298,486,781,806,556,115,489,009,877,544,105,200,423,047,018,148,733,242,
252,888,357,445,271,659,831,146,094,060,589,131,052,617,709,319,485,890,328,
714,677,634,874,302,631,628,999,037,045,104,961,537,182,726,913,036,342,973,
040,104,657,664,020,155,883,572,722,753,173,899,546,223,649,962,659,793,643,
133,936,425,214,737,129,518,548,216,356,734,852,405,671,401,733,614,652,104,
053,446,426,326,978,418,630,850,811,637,185,094,761,497,265,286,047,789,089,
706,484,535,419,263,633,998,390,005,382,032,033,249,003,978,050,630,369,594,
867,560,094,525,269,054,492,217,600,725,125,528,773,186,483,238,633,969,646,
501,442,212,396,944,413,440,520,360,599,094,967,529,310,590,504,491,045,804,
668,134,082,010,156,514,411,270,815,764,306,515,999,388,961,304,067,482,709,
330,267,056,128,586,824,819,449,949,508,610,263,759,969,175,952,469,428,590,
880,674,806,156,913,241,060,753,947,589,415,096,144,126,904,126,036,744,651,
614,339,075,955,656,330,909,777,545,098,645,702,009,129,005,279,710,579,659,
526,746,621,260,870,232,915,712,596,646,881,000,505,106,550,778,689,857,868,
932,048,199,664,791,354,325,379,005,056,691,998,979,381,711,806,676,461,209,
431,252,020,242,893,414,019,961,264,771,677,000,814,868,989,410,257,990,560,
059,608,416,613,092,871,221,619,876,398,426,749,455,982,379,999,272,772,677,
668,093,816,031,863,368,327,322,410,111,644,216,958,891,514,234,276,038,109,
666,442,563,100,732,734,772,109,949,594,888,064,912,545,624,787,714,491,893,
028,443,305,618,842,289,439,011,682,998,958,181,681,214,611,114,757,338,194,
581,513,718,686,704,193,837,478,721,013,134,064,870,852,615,294,765,044,435,
802,736,579,387,928,397,272,066,579,712,033,493,736,939,935,982,198,908,924,
384,869,993,367,321,675,116,676,129,026,338,387,362,400,508,737,790,330,025,
672,338,344,985,126,285,219,102,189,888,380,635,005,482,907,658,905,524,779,
573,076,802,068,061,608,512,948,167,240,315,053,124,969,898,681,605,806,393,
161,906,630,984,942,502,612,841,553,441,919,347,499,292,459,595,288,222,934,
521,497,456,733,446,368,832,130,860,418,689,053,718,393,292,736,365,725,921,
015,621,202,442,299,695,080,651,849,602,146,620,147,841,495,473,826,464,275,
736,091,520,309,480,134,550,642,828,444,975,339,890,306,332,355,741,194,115,
059,435,156,557,603,054,507,678,323,053,296,170,000,942,909,234,855,979,714,
855,001,584,040,097,799,585,604,364,615,823,106,442,811,884,364,977,390,173,
213,692,436,652,308,608,809,723,597,104,480,320,052,784,852,738,309,526,989,
221,759,419,949,225,741,559,605,995,874,152,979,068,340,364,550,426,232,509,
718,220,914,153,306,126,962,558,962,675,444,476,291,896,461,162,406,594,152,
997,420,583,239,640,674,781,083,582,314,089,009,478,403,576,280,793,998,154,
597,727,705,588,258,274,637,146,268,547,237,005,126,732,474,050,895,199,689,
374,231,967,845,291,689,347,347,504,680,869,110,202,263,739,438,935,373,919,
685,074,493,633,005,584,469,464,297,287,231,399,004,390,079,335,628,265,085,
531,386,759,243,404,786,279,704,139,066,893,429,480,465,810,557,166,970,781,
972,367,344,014,195,048,365,336,692,892,993,991,273,819,590,565,509,494,469,
660,197,624,559,907,273,127,164,949,746,956,661,889,525,465,798,817,809,082,
131,057,054,366,838,691,083,528,291,174,668,574,958,050,770,618,395,485,879,
868,606,810,784,770,951,061,969,448,777,048,052,578,352,064,028,907,788,266,
166,078,920,834,000,430,261,934,651,994,611,291,546,974,994,733,341,545,320,
604,174,435,077,611,647,616,505,468,781,225,902,870,609,849,868,611,028,177,
717,354,241,721,211,616,728,885,304,249,554,225,521,554,469,728,424,365,143,
417,853,257,697,253,020,540,515,964,108,540,309,676,243,047,668,855,003,821,
900,531,675,007,152,663,386,456,423,323,719,069,555,370,423,021,907,857,419,
733,372,150,353,531,718,246,008,583,914,388,225,087,548,198,640,324,492,546,
009,443,882,810,409,856,580,269,487,346,953,474,125,997,180,332,725,904,901,
431,719,242,122,986,170,265,836,850,653,280,470,282,459,074,397,886,968,026,
158,204,047,014,529,952,559,448,232,298,307,238,413,172,887,203,433,888,981,
623,321,585,234,697,168,032,024,978,335,693,754,288,755,596,099,622,680,934,
027,862,113,541,601,651,355,254,207,565,316,263,181,545,646,620,428,871,759,
356,840,726,315,967,704,395,173,784,617,883,878,847,856,714,786,433,006,611,
910,265,982,348,790,372,025,482,916,726,775,792,239,049,533,191,402,612,358,
516,312,708,203,836,039,563,429,877,810,734,640,923,595,168,578,488,983,459,
069,291,483,932,581,433,613,869,659,745,981,397,930,383,426,235,453,415,212,
555,140,417,787,552,203,461,983,042,116,546,437,461,597,903,793,820,917,497,
959,991,435,613,462,054,256,355,563,571,053,857,772,987,191,464,633,060,175,
659,698,908,150,741,804,549,096,215,501,925,913,688,500,405,605,999,594,968,
895,483,467,031,076,458,604,471,054,032,157,061,168,829,628,541,817,564,959,
106,106,312,116,013,494,893,394,108,463,562,485,817,492,903,156,361,843,063,
998,959,751,719,838,525,338,202,260,874,649,364,004,726,083,686,391,414,260,
182,574,894,751,463,847,425,303,051,188,269,930,680,229,751,274,814,922,158,
449,545,403,485,137,177,550,323,582,155,544,985,105,173,575,477,135,490,526,
578,164,477,211,596,153,670,433,948,074,324,407,884,486,688,308,500,855,403,
644,373,941,415,246,214,089,122,010,508,854,416,859,322,267,654,908,390,619,
734,473,911,566,084,663,448,076,124,379,633,998,295,899,138,044,427,194,448,
658,970,617,419,322,386,780,804,362,499,402,359,109,426,286,782,064,115,118,
441,564,218,731,205,697,362,866,719,298,012,385,745,926,697,977,041,888,130,
403,059,295,660,235,737,337,060,976,060,561,773,084,273,401,658,573,499,675,
572,939,132,690,782,826,622,702,789,947,840,338,591,386,152,620,910,701,262,
618,218,588,987,769,102,988,434,093,755,485,394,696,246,487,008,996,129,988,
619,178,493,882,202,944,315,023,667,871,126,624,488,883,021,718,625,787,850,
412,111,260,327,820,860,511,380,711,143,707,578,751,932,450,537,008,024,324,
652,175,054,984,754,175,466,912,739,274,761,942,925,073,341,649,239,128,493,
485,208,638,053,587,132,804,118,795,160,508,960,719,528,199,058,261,533,965,
462,020,518,430,339,108,077,988,825,745,200,160,891,681,627,806,487,989,549,
961,173,186,811,687,021,327,100,235,484,994,830,145,101,846,665,670,861,866,
142,857,252,965,893,880,271,495,677,345,836,652,221,553,799,809,722,419,665,
806,149,607,275,560,809,626,089,010,202,091,824,023,251,215,400,910,573,585,
035,744,556,238,869,004,789,093,581,411,154,926,408,250,545,672,531,523,490,
223,019,269,924,052,984,470,173,479,509,319,958,194,606,591,425,050,801,152,
295,319,461,582,082,897,665,866,413,767,438,144,556,076,825,060,332,549,026,
330,323,395,330,799,100,138,562,485,772,973,526,734,032,186,164,051,336,473,
175,864,216,790,163,789,066,194,946,261,070,713,707,331,010,910,444,092,123,
109,193,879,581,544,727,277,296,360,740,800,784,830,111,209,441,241,874,187,
091,763,667,095,964,642,918,015,099,923,443,830,447,582,855,731,738,623,368,
000,534,278,873,926,299,430,847,170,033,965,941,127,169,427,879,179,251,762,
094,943,477,790,796,285,065,027,440,425,402,986,337,598,842,733,814,101,667,
183,439,185,238,180,876,891,520,905,017,921,741,592,853,835,969,541,975,295,
818,373,324,069,211,024,814,851,480,786,847,222,032,492,114,476,894,253,642,
384,799,983,316,218,045,454,030,413,352,139,963,220,052,889,620,016,294,841,
774,676,735,865,739,787,815,030,226,244,019,155,357,369,961,800,773,274,423,
938,303,522,612,798,118,617,131,814,528,679,370,024,571,834,162,173,462,499,
593,401,004,614,747,405,967,306,413,181,884,365,104,501,397,348,288,417,311,
968,619,311,914,042,700,974,024,441,057,819,999,575,600,416,022,736,668,789,
323,875,549,253,187,854,757,858,371,133,704,633,310,000,183,965,058,493,149,
568,036,371,482,916,202,128,150,642,168,632,554,967,166,677,050,763,886,670,
963,447,461,595,814,116,258,442,209,778,584,711,540,442,903,020,013,867,319,
814,817,664,978,392,075,807,835,876,025,864,732,667,670,775,191,441,969,344,
350,464,914,950,244,750,657,198,288,107,760,873,351,471,496,596,750,946,890,
991,809,357,098,858,414,478,034,287,310,344,646,743,620,629,990,647,548,402,
133,538,539,513,874,989,736,517,836,842,684,714,850,214,933,109,233,321,536,
495,967,685,792,527,288,535,550,251,682,436,238,797,631,774,802,883,983,022,
190,360,107,140,070,466,649,577,934,247,444,686,322,029,745,483,230,687,699,
106,069,592,179,946,839,760,270,379,437,980,374,068,683,581,771,309,985,403,
466,157,829,406,944,829,260,290,464,429,979,852,797,897,216,499,741,415,699,
293,426,164,659,171,378,451,146,963,796,070,099,655,701,594,175,798,981,918,
029,339,490,847,657,116,154,472,963,032,572,235,058,088,535,883,065,111,469,
650,373,483,596,274,453,920,099,021,852,769,526,367,107,773,952,846,874,603,
467,317,399,359,657,723,029,985,859,695,504,263,255,272,932,850,481,826,447,
545,930,357,293,160,065,354,693,019,911,114,382,165,996,408,429,430,687,020,
373,325,293,650,911,769,773,108,810,741,093,807,294,834,597,814,084,242,673,
694,038,497,967,878,965,235,330,797,797,884,693,129,779,889,113,221,438,785,
191,095,017,842,067,906,849,137,356,910,954,833,654,400,863,146,475,991,602,
581,960,900,437,389,010,687,543,422,293,611,790,871,056,106,236,833,657,824,
637,877,301,419,976,851,695,368,774,610,981,597,728,950,219,271,748,884,641,
375,601,256,134,262,363,052,382,760,353,544,726,494,530,343,763,375,677,126,
749,784,152,763,194,289,931,062,153,895,730,181,660,884,818,819,093,965,526,
747,703,871,467,842,660,710,722,237,187,241,760,173,504,498,949,965,650,386,
825,242,465,517,918,986,959,368,458,996,309,111,997,209,592,770,773,001,831,
124,896,813,959,277,203,286,543,128,677,334,863,375,668,736,455,115,553,469,
366,073,997,969,586,074,036,636,631,534,947,263,234,496,738,777,374,183,440,
081,965,479,875,447,870,416,945,640,318,502,588,063,167,975,217,084,659,903,
541,002,975,104,113,282,295,771,354,352,987,959,578,065,511,535,835,537,407,
767,527,449,585,229,139,904,803,913,584,027,320,223,694,547,734,637,968,213,
672,944,111,194,409,107,627,891,895,437,363,540,672,621,177,265,562,810,913,
948,636,315,935,165,091,846,484,054,891,187,275,420,925,306,272,002,124,193,
397,106,819,919,673,287,402,811,626,600,569,242,041,955,614,847,013,313,732,
464,532,411,610,617,137,209,249,145,627,909,200,428,007,715,049,923,725,702,
069,986,074,777,759,859,388,352,855,519,757,760,344,893,482,215,603,249,669,
426,232,790,862,148,206,213,516,646,913,213,945,829,404,898,920,271,963,075,
142,806,929,410,864,602,891,283,127,711,998,543,140,321,723,779,517,986,360,
513,969,395,333,592,636,989,616,591,661,974,840,286,940,016,840,221,896,304,
787,916,931,846,233,151,143,058,345,886,710,518,278,502,276,844,500,505,561,
585,354,600,997,889,346,992,291,723,903,695,929,323,098,372,779,656,378,507,
403,922,950,331,824,448,990,390,270,733,719,467,866,616,110,859,019,220,383,
945,829,609,745,612,267,084,485,012,409,637,224,054,497,665,301,479,141,760,
422,242,163,770,273,475,212,205,741,848,238,964,382,554,853,612,150,052,166,
804,072,557,128,350,870,605,023,171,492,080,113,729,836,967,314,246,405,362,
045,359,999,266,146,538,171,883,118,091,557,058,142,930,092,748,694,783,020,
506,632,968,400,652,075,579,817,786,100,753,523,437,649,071,852,997,459,533,
789,845,827,021,312,072,646,291,565,963,111,127,212,927,397,972,133,730,731,
194,817,813,486,593,940,072,455,173,592,947,380,149,269,751,080,871,054,173,
586,266,748,843,148,839,963,966,831,253,299,663,743,879,616,773,850,363,778,
440,761,891,644,326,878,130,129,297,446,930,175,536,829,197,449,150,036,255,
381,335,332,026,060,622,790,301,007,750,143,358,562,334,240,453,880,221,251,
193,218,892,775,405,665,373,334,403,822,848,388,757,580,713,855,632,337,285,
205,455,429,890,295,368,756,132,440,020,718,294,808,298,340,905,577,814,016,
642,211,602,266,998,166,073,586,364,818,961,360,850,319,346,850,317,177,639,
695,678,579,962,974,799,354,470,546,115,857,326,770,485,911,489,302,802,949,
209,205,039,583,132,919,466,834,445,366,668,068,841,770,782,820,887,772,004,
927,376,194,464,611,868,493,480,538,376,727,087,617,438,750,872,866,037,858,
189,160,028,637,043,993,463,802,641,484,016,726,941,207,872,873,692,405,420,
535,569,166,006,514,097,615,710,861,996,070,887,205,467,832,518,298,697,098,
891,434,841,479,056,985,557,469,644,762,507,325,765,915,909,671,705,430,373,
102,616,472,632,580,645,051,220,148,054,937,958,652,358,741,981,480,532,570,
400,148,690,967,411,358,058,634,771,014,763,573,786,636,909,764,414,764,005,
518,984,999,690,636,790,215,256,097,786,122,205,947,076,545,200,607,964,464,
055,721,752,780,302,310,173,201,959,096,041,371,874,674,825,677,213,663,346,
337,434,820,290,955,528,541,709,920,080,461,130,616,379,408,919,941,643,422,
434,321,722,657,533,422,432,332,513,851,362,497,480,330,858,177,836,868,415,
391,181,800,960,522,143,322,292,609,682,040,426,619,848,719,023,720,705,980,
275,102,567,119,939,819,856,425,102,757,817,199,604,372,168,901,379,220,435,
287,566,191,545,143,891,483,009,817,635,886,672,055,392,134,482,415,369,086,
493,588,878,897,398,664,175,373,782,545,775,948,581,591,271,572,645,394,005,
590,832,913,588,500,165,860,861,872,912,650,666,463,567,527,621,541,021,485,
523,875,575,347,103,718,603,440,840,462,645,679,516,945,535,413,900,134,224,
247,360,629,637,487,790,179,100,712,529,503,626,846,776,402,177,737,109,554,
485,689,298,176,911,768,532,188,143,582,167,918,644,552,871,900,250,519,070,
602,136,046,212,842,716,682,757,236,502,939,962,654,833,085,910,898,205,247,
449,150,813,030,497,452,399,683,981,206,246,982,972,032,426,976,800,750,993,
635,099,379,840,011,632,113,101,685,036,648,050,367,514,661,505,216,760,595,
005,861,142,415,933,079,050,580,598,368,806,590,793,789,668,099,404,453,599,
820,718,287,968,562,210,167,722,301,245,179,075,897,340,927,228,285,894,436,
524,459,180,978,309,041,012,543,340,007,906,051,029,563,545,477,931,846,316,
255,040,052,482,468,296,229,652,837,023,817,523,555,501,986,027,686,534,458,
593,727,410,204,758,499,362,707,632,294,472,476,404,448,877,424,409,089,852,
428,982,516,321,086,306,976,135,901,485,355,149,300,013,265,755,897,192,886,
766,349,044,243,586,280,499,595,083,194,477,714,498,556,581,759,156,188,073,
234,513,717,914,241,896,678,681,612,603,251,330,789,635,736,294,005,091,122,
952,894,573,567,293,434,384,410,403,255,769,972,668,660,609,985,712,226,990,
884,072,027,724,794,953,783,104,820,879,033,319,512,146,917,529,375,022,375,
819,000,351,509,684,725,754,232,012,988,635,277,767,125,207,704,267,068,762,
467,043,396,806,435,767,327,233,512,472,411,545,000,437,362,050,707,001,698,
907,554,070,932,603,554,241,903,085,557,912,232,128,814,776,530,429,226,302,
900,123,810,980,757,514,277,914,588,872,887,013,530,740,812,902,778,866,560,
550,818,061,192,015,920,746,844,263,247,575,077,178,103,809,875,659,169,275,
596,697,722,178,238,914,010,560,494,234,004,478,903,255,345,331,669,358,348,
653,833,724,533,418,366,009,529,798,020,940,527,676,645,812,723,330,865,619,
989,789,446,918,029,762,287,132,867,805,207,997,406,589,045,846,800,745,617,
872,991,902,354,816,322,465,887,853,134,438,587,320,819,499,238,564,138,469,
546,760,684,461,537,958,529,923,959,879,852,657,019,431,443,673,098,947,198,
315,846,514,359,541,550,119,106,088,931,022,096,008,426,803,467,048,183,283,
610,200,002,261,321,193,397,716,823,708,350,609,696,160,675,411,938,465,786,
750,578,576,033,720,397,842,127,150,479,149,113,846,137,339,369,073,542,072,
275,842,763,526,347,175,050,062,251,044,368,078,829,514,594,209,315,938,607,
593,847,948,729,019,392,296,911,044,593,267,541,453,360,853,698,477,378,005,
013,877,046,157,052,976,689,829,919,621,066,293,077,047,745,833,220,740,940,
186,821,483,315,725,859,926,005,262,275,251,193,844,689,470,929,756,906,111,
834,377,861,677,773,213,930,144,304,776,154,947,431,033,350,334,671,970,375,
672,025,809,665,760,283,375,469,919,045,562,384,040,921,487,435,948,243,563,
831,050,560,136,912,117,244,423,456,830,357,134,880,586,838,943,066,600,735,
587,332,126,555,155,911,101,040,772,621,666,382,268,667,107,631,058,563,293,
207,903,520,670,509,714,234,664,182,667,386,201,259,435,311,399,171,394,846,
693,439,333,291,344,649,043,877,133,190,741,228,551,236,703,841,722,353,895,
935,572,438,690,143,932,852,004,657,882,908,065,357,258,948,017,096,869,391,
938,643,309,035,806,937,035,650,947,013,279,225,074,287,639,242,134,766,570,
500,661,595,476,498,978,017,890,087,762,486,273,139,257,231,003,905,095,130,
671,994,149,526,200,698,725,586,867,287,765,108,055,362,009,326,723,658,031,
349,392,179,232,663,363,117,394,971,871,991,895,228,104,103,707,041,686,527,
658,044,859,404,447,851,618,126,872,760,359,458,302,769,616,212,696,536,574,
633,837,734,564,214,282,600,111,068,755,412,740,663,044,953,762,817,431,011,
169,645,992,100,051,913,252,470,116,320,982,983,794,313,724,016,391,197,639,
524,190,613,308,865,343,066,822,971,827,615,916,601,712,882,419,065,297,994,
554,438,214,084,225,729,924,834,935,416,735,281,396,617,192,009,322,533,669,
705,815,469,560,706,348,156,515,224,472,935,259,564,114,723,827,294,623,717,
186,462,348,832,826,916,060,518,896,906,516,107,837,231,928,783,109,440,232,
843,642,426,437,685,913,773,434,979,339,782,923,882,281,189,838,717,278,854,
713,787,920,894,325,904,559,732,859,008,617,054,915,852,180,739,831,342,883,
487,583,073,553,105,594,976,049,691,276,654,836,243,067,439,410,705,380,294,
972,687,588,467,590,183,919,400,721,727,443,201,051,772,638,095,957,990,274,
934,297,184,098,481,284,265,429,186,779,540,742,106,174,587,021,109,936,873,
373,332,496,123,860,813,327,083,125,472,159,353,660,363,897,329,976,137,869,
004,253,746,204,171,787,707,352,602,201,059,190,305,462,091,624,595,240,573,
817,761,065,818,467,555,109,812,232,146,266,747,148,926,787,344,368,800,006,
464,779,943,319,147,682,712,026,706,040,290,725,649,248,786,430,762,343,372,
757,262,101,081,531,866,243,282,621,880,099,761,733,063,570,634,550,694,081,
113,630,794,405,850,136,710,445,278,803,201,788,092,091,727,706,446,149,130,
144,006,107,731,170,619,334,378,845,847,857,462,019,870,166,386,106,799,391,
005,258,628,496,466,298,099,719,768,398,830,724,625,891,539,523,317,553,467,
539,035,305,432,943,663,533,570,813,392,376,191,481,033,734,477,028,600,948,
821,629,096,999,210,080,520,791,379,994,041,989,318,700,386,923,254,096,485,
134,953,108,336,944,306,372,961,880,749,257,992,155,186,396,809,372,877,807,
017,999,855,812,323,120,825,889,583,604,943,193,557,029,560,477,639,370,828,
098,640,485,420,493,157,752,193,697,029,418,840,615,757,118,562,915,223,025,
822,855,608,957,459,026,285,912,276,612,752,300,413,269,817,560,574,610,938,
488,132,223,576,781,107,841,488,941,663,977,466,552,399,256,616,391,744,551,
733,541,455,011,790,096,063,729,248,888,264,216,990,827,388,359,926,985,585,
437,031,748,489,626,028,899,844,160,526,521,152,610,155,054,471,465,112,981,
522,309,238,826,321,757,615,426,335,236,690,165,184,655,253,874,433,911,560,
514,219,927,089,917,048,576,954,951,190,504,489,857,538,304,394,332,809,570,
073,545,294,612,692,733,661,398,546,472,533,626,943,161,427,695,043,719,324,
170,964,475,628,310,323,041,674,373,923,830,055,923,323,551,557,353,976,355,
443,485,393,152,712,419,618,663,540,920,718,713,108,572,937,295,374,552,496,
870,299,112,192,575,196,245,616,786,887,710,664,633,853,028,941,323,197,199,
834,055,820,021,939,855,944,253,402,832,626,284,372,318,611,317,645,800,099,
546,379,999,809,029,692,058,331,544,286,589,618,735,177,012,491,853,950,766,
148,573,204,682,604,989,695,064,967,447,284,602,291,010,934,043,198,481,159,
495,907,156,396,447,042,090,115,268,114,796,783,376,465,646,723,262,767,616,
446,428,794,666,547,184,610,302,876,598,944,106,208,169,080,198,072,172,060,
771,929,219,878,285,276,275,189,475,207,089,147,852,906,411,611,431,134,625,
343,909,741,259,357,649,084,252,604,421,624,400,166,471,771,288,270,472,871,
171,233,700,795,203,549,627,823,444,629,894,498,880,874,019,169,820,827,395,
706,945,270,437,013,907,568,532,569,169,488,623,416,781,695,765,928,129,898,
207,018,349,356,287,808,624,746,725,629,686,874,432,882,656,460,022,188,568,
885,115,163,048,374,443,302,397,309,739,777,350,030,760,553,766,639,652,096,
315,799,448,683,423,080,726,454,124,441,478,978,579,924,644,868,134,632,418,
396,270,248,248,675,303,315,395,989,142,164,134,598,752,286,561,804,261,823,
747,320,719,502,657,528,603,175,554,328,254,174,566,435,210,203,442,520,088,
450,308,878,069,345,284,380,434,178,999,137,202,981,178,669,363,375,961,490,
744,358,699,628,581,079,643,178,765,540,442,579,510,763,614,328,786,031,197,
984,972,398,869,074,156,350,918,217,607,680,059,569,794,293,825,980,469,225,
385,388,228,166,354,275,944,951,134,547,049,337,236,239,030,655,094,581,909,
565,353,918,717,783,525,028,375,957,370,893,354,477,573,804,080,342,943,420,
258,738,425,751,653,540,779,052,211,345,431,986,960,385,246,443,299,327,755,
086,006,374,385,972,942,329,415,297,952,263,449,517,889,478,123,241,447,790,
089,147,566,467,949,319,566,181,068,471,370,525,998,537,339,503,087,640,461,
246,487,709,892,228,088,700,690,812,691,875,552,076,147,178,925,481,804,442,
260,501,985,322,969,137,580,286,565,600,649,050,670,671,409,855,323,876,593,
557,825,199,088,405,856,422,405,208,155,130,905,538,970,621,947,351,606,430,
163,758,483,569,285,117,197,912,589,289,466,074,157,314,214,480,178,430,459,
321,878,414,358,534,288,341,160,800,786,225,017,540,313,745,139,365,462,734,
331,755,961,080,927,209,266,036,958,022,698,403,858,321,818,647,640,599,560,
974,967,188,511,639,303,329,418,743,104,188,070,441,281,950,847,193,501,331,
850,083,790,093,330,232,525,594,045,690,086,491,487,117,610,678,325,049,753,
426,953,989,206,054,920,559,201,849,278,966,401,864,627,682,088,848,614,968,
203,882,062,916,073,911,888,921,240,268,756,639,317,491,640,796,834,771,854,
913,657,667,552,392,493,297,822,735,171,121,073,493,098,085,592,864,986,965,
305,365,568,734,864,885,004,115,205,213,057,087,621,840,632,016,186,805,669,
929,747,028,393,569,483,609,290,858,096,886,897,348,342,115,205,752,032,058,
081,626,474,394,971,714,854,814,205,311,565,121,802,022,851,359,117,752,381,
116,987,508,211,540,106,199,293,517,664,276,055,207,593,323,225,155,854,387,
538,895,662,631,031,112,996,146,810,112,530,123,808,971,872,235,241,602,685,
508,431,751,559,219,765,509,474,386,434,657,775,387,772,759,425,816,279,607,
523,552,106,671,736,432,445,664,361,901,454,372,869,740,688,796,567,646,227,
867,161,311,874,879,332,243,288,950,127,477,079,828,443,107,134,744,783,808,
112,001,260,360,768,490,027,115,165,506,938,145,516,072,152,232,751,185,672,
521,687,687,729,540,078,468,334,494,862,522,944,503,377,049,269,296,764,992,
949,952,264,872,974,853,578,772,101,756,138,531,215,622,755,042,447,343,752,
150,516,356,076,631,505,199,646,226,267,509,151,619,947,175,302,899,525,375,
893,280,760,360,064,586,005,387,730,644,578,353,520,352,360,296,633,551,400,
177,584,694,495,881,792,441,381,657,863,216,840,012,081,732,981,404,335,112,
818,824,475,223,234,665,827,840,833,858,188,936,397,780,922,966,931,691,062,
894,162,192,867,784,661,302,910,895,794,111,667,000,002,493,934,916,148,306,
269,578,638,355,648,317,696,393,598,826,690,297,696,390,645,915,146,680,874,
170,450,726,933,597,246,996,621,646,827,162,235,130,942,737,033,200,439,170,
237,384,732,555,607,634,296,787,501,581,578,521,004,107,767,555,754,788,058,
205,137,308,129,562,654,453,874,041,563,883,006,314,633,026,767,491,093,600,
802,395,200,496,126,287,848,573,668,662,005,663,414,358,328,896,805,608,161,
676,651,879,400,761,231,876,256,638,185,084,287,986,305,361,530,615,517,527,
917,235,828,589,445,437,918,820,859,368,461,932,352,971,690,902,102,334,131,
147,630,840,386,370,605,439,491,514,268,748,531,925,820,556,850,570,900,094,
390,317,464,168,056,051,595,933,930,243,073,925,895,390,126,979,584,177,243,
611,277,597,505,821,130,745,986,971,835,763,783,143,894,795,906,071,817,043,
720,588,424,753,927,944,428,625,282,391,049,378,951,252,779,386,399,089,588,
047,400,570,901,848,882,800,659,003,571,539,919,244,610,610,456,320,144,615,
397,341,627,889,287,521,994,034,795,032,463,387,618,790,394,457,593,455,510,
381,273,275,601,853,281,597,509,292,891,502,895,996,902,544,682,667,842,346,
330,848,056,895,586,077,514,243,150,679,417,601,692,704,647,793,413,087,017,
324,187,426,999,467,110,746,832,509,892,479,657,906,559,208,816,100,443,229,
760,362,287,305,869,648,419,580,639,348,074,364,097,479,427,342,750,106,504,
148,930,771,827,827,352,364,953,856,256,518,080,695,757,727,303,210,174,569,
785,297,515,963,828,285,787,701,411,655,016,261,862,878,381,632,776,130,878,
706,156,684,537,785,676,631,619,256,226,632,013,340,965,876,385,065,639,377,
336,068,231,902,774,609,043,139,187,110,958,950,971,254,502,714,947,545,479,
526,571,431,723,815,968,137,371,776,384,324,423,768,785,740,508,349,105,189,
978,356,761,748,773,743,719,827,789,441,794,232,158,982,366,068,273,934,842,
163,922,130,603,188,613,022,323,118,806,301,557,285,464,320,237,540,360,601,
875,459,174,154,976,211,029,375,960,513,099,387,138,564,023,924,120,698,179,
997,013,239,200,393,010,483,824,252,444,540,019,390,448,088,299,234,691,895,
820,567,765,401,683,517,527,815,119,677,530,946,680,998,988,547,787,630,206,
093,618,180,524,025,220,015,472,342,203,147,822,071,003,259,322,750,590,804,
340,839,224,355,202,337,732,121,434,017,460,674,314,012,689,828,071,722,897,
516,772,923,120,760,942,318,570,523,268,112,412,081,431,098,504,553,401,356,
160,307,158,627,202,169,884,711,984,479,455,780,912,782,755,299,191,560,699,
547,934,600,030,716,071,802,429,621,214,155,968,095,705,564,447,846,121,990,
950,826,666,401,589,258,247,294,008,415,538,541,847,216,589,546,394,957,475,
489,183,146,570,250,705,617,593,755,315,401,160,075,905,719,639,541,173,257,
955,382,164,836,754,963,569,452,796,218,996,415,815,221,422,371,126,921,552,
396,648,762,214,160,796,431,917,528,068,736,648,959,765,316,640,661,507,426,
127,695,279,761,802,881,878,782,998,072,056,719,867,520,222,805,649,309,210,
264,986,532,689,565,155,187,725,968,972,703,883,096,175,042,418,531,328,755,
833,757,915,954,683,152,504,774,201,939,533,143,485,761,706,487,774,445,133,
722,836,078,111,687,494,180,257,658,950,421,733,552,448,710,008,690,253,777,
204,504,148,195,112,476,677,708,310,878,644,931,502,203,914,308,739,686,036,
048,765,458,560,246,319,128,241,680,984,469,959,165,462,044,419,977,050,589,
235,888,477,804,239,048,837,882,575,664,181,486,669,467,542,707,110,153,087,
523,453,818,939,908,047,240,805,394,852,115,065,362,256,436,651,799,680,399,
055,328,561,035,729,337,670,292,923,558,062,296,326,924,273,191,531,885,718,
977,521,116,260,275,806,176,031,607,179,844,541,029,740,033,207,207,529,577,
821,950,748,001,973,647,736,101,386,093,224,066,505,386,828,972,600,530,307,
230,884,617,836,400,194,773,041,694,550,985,380,810,862,941,337,350,929,183,
943,238,513,718,693,140,055,981,672,151,860,900,561,160,464,869,109,553,026,
042,427,211,968,340,169,049,832,829,781,210,488,270,081,830,396,933,205,318,
879,579,359,668,487,630,623,238,056,555,866,660,439,306,723,328,217,472,282,
333,907,196,201,924,241,231,375,307,234,096,547,677,779,540,041,335,263,221,
382,017,815,326,021,575,895,478,680,235,580,176,740,650,716,983,218,461,265,
814,375,317,878,269,819,182,942,992,668,324,162,818,161,388,466,692,305,182,
793,986,736,841,999,508,582,776,967,123,082,895,273,443,025,376,447,551,186,
476,695,829,434,137,500,579,758,868,548,063,264,895,268,156,730,146,240,290,
089,720,704,235,766,354,966,122,521,629,211,548,772,103,475,113,975,248,330,
146,053,389,598,276,655,943,053,412,456,445,144,196,421,045,053,959,841,636,
975,311,700,532,670,916,558,087,898,612,580,144,957,284,197,307,738,855,500,
351,414,682,910,762,703,700,444,831,958,266,102,380,065,181,262,969,859,054,
603,973,532,007,467,534,871,117,926,626,387,412,334,494,144,948,553,983,990,
187,408,512,569,679,482,974,829,126,242,563,540,714,071,536,021,970,602,254,
010,237,413,345,177,681,002,915,429,756,609,016,829,319,721,998,260,787,970,
259,746,631,666,487,188,643,481,483,947,589,475,860,800,093,921,857,191,938,
105,151,281,023,584,622,372,485,441,046,910,715,902,263,110,704,251,424,501,
426,001,692,326,699,926,340,879,952,195,310,908,708,867,631,098,305,052,607,
761,362,330,771,374,839,174,369,007,816,001,742,993,093,232,178,520,471,974,
659,258,165,604,224,650,760,583,009,287,821,818,424,464,577,036,992,998,116,
415,287,916,743,958,616,424,865,650,450,133,554,217,470,750,926,468,541,845,
752,814,785,437,037,394,073,930,546,855,868,591,514,415,156,197,982,996,898,
203,798,732,969,895,308,260,042,647,739,860,339,035,905,498,014,780,185,969,
201,783,811,951,023,875,509,709,061,923,518,429,156,836,702,253,103,163,645,
138,381,537,946,361,593,132,546,973,773,458,622,449,820,852,247,724,504,251,
122,628,009,296,697,383,243,715,622,159,307,135,429,034,851,046,047,410,148,
825,692,636,124,507,242,434,108,711,902,880,433,414,103,340,034,233,626,333,
055,102,933,616,765,091,910,891,863,553,262,691,586,655,049,143,914,662,640,
318,156,605,781,192,890,829,915,230,878,921,184,448,518,577,896,977,246,513,
996,599,130,274,439,603,217,172,722,254,158,958,592,326,341,493,219,744,509,
863,975,911,422,221,078,973,538,223,089,902,338,203,585,309,807,947,854,184,
836,350,604,086,213,709,390,824,392,263,848,326,983,693,366,906,307,353,050,
298,274,256,212,823,743,193,475,033,546,839,855,686,410,579,433,837,007,350,
507,406,430,926,974,310,838,908,454,381,654,789,507,690,307,107,509,527,571,
882,151,087,492,199,655,389,410,501,610,933,302,592,211,748,051,131,705,467,
585,593,357,436,713,753,158,282,835,813,097,019,488,110,291,527,862,756,944,
184,804,165,502,254,499,006,902,201,566,642,392,897,700,858,014,997,614,151,
700,958,409,522,893,652,652,909,675,518,530,739,708,880,059,166,511,406,143,
146,264,744,266,294,872,470,789,705,291,502,332,256,370,173,982,167,178,013,
197,931,000,728,126,812,505,572,980,465,161,203,575,076,528,138,621,185,639,
724,032,477,523,313,143,317,745,645,562,425,689,976,657,017,289,577,867,861,
520,836,818,584,104,440,901,786,762,851,703,401,303,429,609,031,632,848,336,
188,259,150,622,549,524,439,500,834,217,671,582,267,524,400,973,999,072,341,
082,226,734,342,502,197,410,693,710,477,381,838,476,377,824,071,969,366,985,
667,480,947,217,604,362,192,397,873,419,922,649,633,370,991,210,307,948,682,
740,753,367,353,694,778,368,195,100,687,374,395,640,643,616,296,546,327,327,
541,845,593,290,744,342,391,610,396,319,447,836,437,654,304,595,520,864,085,
993,596,560,030,627,793,041,498,292,739,424,232,849,308,406,649,263,154,809,
888,945,970,199,256,570,576,340,682,591,397,151,629,716,005,867,243,040,536,
402,907,013,562,019,011,046,219,640,864,993,004,096,899,125,170,534,794,770,
695,193,967,978,903,734,287,240,180,599,535,232,038,631,274,705,868,889,655,
233,873,228,277,397,241,944,314,239,850,235,304,742,274,611,407,845,966,887,
893,097,245,529,509,532,999,673,150,867,480,054,214,226,221,586,591,836,599,
961,021,459,416,734,378,005,718,719,436,930,387,150,052,937,694,870,363,124,
445,063,572,612,305,841,063,046,058,238,724,250,879,908,769,154,671,112,338,
173,000,041,619,057,294,614,216,970,767,831,167,342,726,870,825,197,554,370,
551,954,885,781,337,580,273,408,536,778,794,030,520,193,264,279,578,718,125,
459,832,512,352,150,831,980,225,035,810,890,244,647,112,824,206,208,861,994,
541,733,618,203,465,643,884,468,673,539,028,715,807,475,748,235,633,520,588,
083,317,514,482,071,314,620,901,461,457,952,315,331,086,870,186,906,008,785,
251,560,761,931,452,305,058,715,497,989,051,128,267,778,689,947,000,144,434,
787,345,940,905,597,592,336,731,370,037,139,104,108,319,295,442,116,773,474,
203,322,632,984,042,885,655,413,016,454,697,784,823,138,568,546,024,439,757,
445,775,818,613,601,826,430,465,358,915,098,940,783,359,714,229,674,371,213,
467,467,315,369,217,791,858,833,873,423,451,075,900,662,652,124,858,827,108,
438,480,533,130,215,922,178,199,428,927,511,713,262,187,405,701,770,100,194,
004,603,055,484,652,384,095,985,097,287,278,904,551,231,688,445,199,992,536,
237,871,492,126,351,545,786,802,558,051,330,679,461,352,606,713,794,895,115,
135,245,999,876,302,049,307,631,709,621,136,154,444,731,552,719,951,631,261,
534,961,660,957,497,108,575,046,248,520,484,926,264,236,508,838,963,003,185,
859,018,174,883,140,077,877,798,996,526,790,079,778,686,410,866,738,189,880,
437,698,998,063,565,639,868,222,559,090,864,740,564,442,234,228,656,552,899,
520,945,102,300,011,261,845,156,080,569,054,576,802,538,270,918,132,870,537,
931,363,561,823,370,919,682,686,924,429,117,805,820,710,844,717,496,421,395,
768,335,774,361,045,812,759,617,487,145,053,029,943,319,936,964,530,184,994,
186,409,180,738,434,531,563,366,744,545,003,392,652,427,201,615,348,383,293,
304,675,124,015,842,848,807,472,377,600,702,589,735,076,902,137,654,860,721,
444,727,126,693,585,181,030,675,514,283,571,742,444,986,088,530,409,212,821,
262,264,214,364,083,621,151,344,675,237,688,448,081,134,679,315,596,794,422,
655,858,400,408,579,851,488,518,768,838,526,811,389,049,142,028,420,303,928,
986,142,043,624,652,250,541,625,815,271,171,972,794,807,281,764,995,662,606,
744,560,342,548,490,869,665,975,204,406,650,134,690,052,206,572,165,082,791,
791,829,627,226,399,622,031,528,770,826,175,623,283,822,482,953,642,529,582,
333,008,966,813,699,038,733,700,858,600,686,480,585,245,138,513,969,387,531,
828,498,879,939,074,421,542,792,328,934,611,978,822,657,206,260,909,802,941,
599,369,545,798,525,694,512,161,765,392,416,808,823,309,539,543,481,858,576,
107,147,210,421,803,028,875,428,032,593,795,021,053,263,661,209,490,813,893,
644,671,873,967,583,247,531,813,998,419,989,703,850,655,154,067,755,499,320,
422,265,445,692,620,608,955,523,178,742,937,036,803,731,322,197,984,253,193,
109,445,660,756,811,039,939,256,128,381,460,253,538,083,005,038,080,047,004,
670,841,492,243,733,850,208,842,522,678,702,542,069,992,051,869,565,032,659,
241,942,772,415,452,911,169,085,020,574,489,657,380,578,163,055,890,306,763,
706,354,205,604,410,056,666,287,849,912,697,921,339,926,676,402,080,776,783,
807,097,513,367,652,324,570,794,303,161,826,170,164,695,600,201,755,547,772,
567,797,551,527,455,578,681,646,461,271,103,339,336,936,001,935,836,167,264,
372,058,098,241,140,402,891,552,656,628,603,675,904,987,034,864,922,352,484,
700,896,355,153,917,814,905,652,110,217,704,942,251,592,843,909,596,986,081,
796,094,957,311,518,180,716,097,626,380,056,401,658,938,997,567,205,421,979,
780,336,906,946,208,215,648,893,861,375,371,759,325,405,935,251,537,997,544,
933,950,474,830,609,498,148,851,725,285,355,616,191,129,487,461,996,298,428,
012,944,807,208,088,426,204,309,872,223,087,640,351,275,304,696,591,511,613,
754,528,057,036,390,713,197,875,563,010,978,983,108,029,798,811,091,525,054,
108,336,947,515,787,803,169,832,927,937,450,855,473,685,228,523,801,047,222,
654,888,265,183,957,874,200,169,706,722,560,996,229,525,472,217,620,626,670,
075,799,193,958,485,353,206,063,525,278,459,422,843,439,471,147,779,480,674,
016,309,135,811,134,646,856,826,439,659,283,300,649,797,928,506,486,851,126,
459,088,165,460,841,398,948,351,156,275,129,296,754,378,315,801,811,361,486,
585,456,596,097,799,441,641,201,120,890,555,732,338,517,509,502,622,354,690,
823,852,631,897,292,618,031,690,471,676,169,185,918,187,079,273,626,026,859,
261,908,326,366,200,863,278,034,781,686,753,176,971,182,682,041,772,907,497,
054,466,773,615,173,069,957,487,243,433,013,601,707,947,184,039,622,798,026,
367,899,255,727,049,825,246,845,517,256,239,756,168,105,482,973,585,743,532,
255,075,651,958,453,137,995,667,657,839,179,410,152,647,384,594,684,514,386,
676,612,329,430,632,676,072,474,804,513,016,305,286,059,389,670,502,568,439,
120,466,279,219,424,619,626,357,715,374,397,618,687,676,886,134,243,245,549,
741,352,233,985,882,701,366,740,282,615,336,500,839,364,626,658,882,052,047,
121,326,160,670,721,230,817,557,310,232,152,663,517,416,126,048,744,103,667,
911,562,074,950,560,491,141,350,703,393,096,824,094,409,386,829,656,872,964,
020,092,659,192,119,960,466,681,425,919,653,635,005,608,325,539,697,234,990,
707,170,960,837,656,658,849,065,646,857,858,543,336,927,376,726,587,940,582,
651,687,777,583,902,052,474,043,728,554,122,193,726,683,090,474,272,606,463,
508,791,041,324,967,795,255,614,489,664,300,779,815,040,939,909,746,114,707,
955,706,024,167,540,354,633,171,509,200,698,482,953,512,089,361,168,201,194,
240,348,267,355,572,911,604,414,150,672,837,053,031,833,958,585,528,716,926,
497,219,965,666,095,574,750,964,610,045,570,217,560,922,007,281,662,161,612,
171,132,878,217,388,235,598,722,643,958,346,764,200,675,863,689,692,806,131,
471,600,697,640,987,547,497,203,509,659,503,506,639,298,847,422,817,365,411,
762,220,445,078,158,532,296,665,647,529,544,926,170,285,929,843,146,075,931,
298,439,213,650,666,350,361,880,717,279,703,255,112,765,978,703,313,652,407,
411,198,107,058,841,203,487,403,095,062,924,391,062,011,544,584,150,703,879,
103,495,206,401,326,387,055,737,490,795,010,037,624,131,197,101,237,748,649,
553,757,563,746,373,026,106,480,269,774,160,472,288,994,234,288,832,434,794,
626,771,895,354,451,713,237,303,237,841,366,259,528,661,406,453,254,668,839,
135,522,214,774,424,461,558,506,289,209,589,112,995,834,877,627,100,860,460,
495,412,301,592,332,724,545,898,198,409,604,062,207,777,175,649,541,403,541,
123,503,203,932,418,653,461,794,546,861,306,279,074,858,839,637,238,574,451,
132,074,459,441,010,348,940,832,481,939,481,444,116,044,952,669,812,883,391,
353,315,395,488,949,792,322,676,953,560,633,899,634,403,563,168,626,030,598,
919,032,991,429,026,322,211,814,410,794,758,403,060,276,031,917,625,308,303,
108,707,998,081,736,249,093,207,515,690,486,768,933,602,016,835,316,093,012,
171,266,125,244,571,537,009,337,421,552,793,901,350,479,218,814,148,160,877,
421,891,362,022,859,672,937,051,264,217,117,069,031,883,654,687,759,157,648,
557,864,045,883,754,404,953,856,484,233,640,990,249,881,700,467,147,355,569,
780,215,991,220,088,210,687,238,658,596,066,784,341,664,605,056,844,663,298,
651,744,234,158,635,801,704,782,744,076,975,148,017,308,188,536,732,147,512,
822,885,111,037,768,060,258,871,332,029,279,410,392,709,274,850,122,071,290,
100,642,326,930,193,935,055,861,215,597,682,942,528,048,532,419,268,618,415,
059,720,888,910,460,767,036,945,845,071,515,963,462,108,030,992,526,412,441,
875,931,766,078,405,208,808,864,919,683,110,986,019,875,329,114,851,442,340,
426,854,567,417,057,399,996,037,331,622,893,412,289,370,660,677,572,854,861,
973,361,600,734,540,248,250,613,035,725,335,449,459,009,969,384,377,126,776,
899,679,675,420,848,340,007,013,865,330,372,913,364,504,057,408,797,345,400,
299,452,803,595,121,277,470,737,669,570,722,559,502,646,143,653,778,585,632,
400,832,877,502,001,303,673,288,149,967,838,299,128,209,065,476,808,211,488,
541,909,446,239,254,469,392,672,794,523,734,773,700,750,274,336,391,642,279,
905,642,330,370,192,201,016,708,222,909,103,672,011,420,221,076,215,030,513,
702,956,783,915,093,661,568,507,217,332,820,605,870,701,889,017,086,387,355,
893,433,057,831,022,678,661,865,281,689,691,701,418,585,727,555,045,741,095,
458,166,289,752,540,896,256,741,198,322,187,205,408,930,309,067,806,373,198,
739,459,877,403,724,321,187,309,712,902,752,717,273,002,230,700,046,361,452,
378,375,964,712,216,047,731,338,896,824,280,779,875,234,324,357,879,259,376,
634,124,071,709,123,267,459,323,056,110,947,575,830,900,296,502,518,487,398,
055,059,461,200,174,898,190,309,911,688,361,317,600,557,732,899,686,025,394,
542,857,559,547,546,561,207,161,648,982,637,692,380,455,137,353,199,024,110,
695,529,669,154,215,154,122,012,143,093,403,039,545,816,043,548,943,639,511,
258,146,869,714,427,656,250,371,781,371,801,123,170,033,175,394,573,441,997,
383,428,406,331,174,875,341,209,129,112,888,887,550,285,144,593,397,670,406,
429,934,022,558,009,162,959,974,329,332,331,873,860,159,222,126,701,769,329,
298,961,625,373,487,504,150,075,938,297,639,807,198,227,004,461,054,362,037,
856,624,450,800,145,366,286,986,803,178,993,909,790,092,500,530,539,362,000,
455,456,837,447,161,745,844,789,748,289,219,644,343,383,816,791,548,490,911,
653,290,205,930,850,134,809,644,807,457,828,265,637,102,520,377,816,416,991,
866,589,706,016,202,522,524,518,942,536,248,376,156,542,748,922,579,591,009,
157,741,304,113,643,300,015,918,440,340,754,735,451,535,135,317,391,104,602,
414,055,492,270,310,763,603,588,432,758,113,711,270,133,085,236,520,124,037,
575,079,316,711,515,513,747,001,367,480,793,761,340,926,654,624,672,346,423,
348,734,523,544,197,121,563,098,225,128,293,068,357,180,910,454,227,160,389,
638,211,006,566,144,991,012,691,387,321,312,630,716,704,753,347,582,915,041,
821,034,020,046,203,746,704,587,253,076,040,503,830,626,865,098,817,593,860,
978,959,142,480,538,965,161,084,925,923,124,182,649,745,232,556,150,931,086,
397,374,985,194,903,368,696,647,088,794,548,092,226,290,100,599,059,592,121,
959,859,256,499,301,245,365,799,150,078,565,756,387,597,596,032,035,245,719,
747,572,254,051,600,940,847,943,496,809,432,477,237,000,967,519,125,467,151,
170,502,523,786,379,894,045,739,422,323,769,152,020,441,549,827,205,840,689,
288,236,078,399,977,217,476,777,053,002,060,966,583,065,699,144,577,459,086,
952,437,132,672,879,839,916,722,912,374,580,907,604,426,572,469,702,241,008,
891,311,785,158,231,064,769,247,893,959,893,583,934,121,966,366,979,230,494,
601,811,233,163,294,288,178,950,426,874,403,287,184,607,557,794,505,758,729,
867,544,096,065,251,548,603,177,217,512,142,621,106,058,062,260,770,901,374,
060,306,355,250,416,723,939,960,561,197,909,503,811,743,217,008,855,837,191,
013,317,353,568,481,768,616,713,694,790,083,449,106,135,824,925,587,266,598,
278,678,114,482,261,935,856,007,122,661,859,249,169,174,560,571,528,485,813,
130,386,281,266,772,741,546,624,513,138,092,562,427,846,383,165,332,566,712,
459,571,976,940,181,629,812,178,377,807,717,145,819,627,548,626,228,057,646,
551,356,030,516,858,140,277,017,654,717,576,913,397,954,851,709,272,863,107,
097,432,069,429,850,384,869,389,733,367,309,079,674,441,621,791,630,434,487,
589,365,027,298,426,412,688,464,998,073,930,705,463,083,059,441,181,294,266,
594,246,511,799,748,108,779,080,844,270,301,103,968,599,861,237,764,361,076,
600,956,400,883,397,792,116,363,470,790,590,679,459,575,520,191,113,802,702,
064,834,964,621,785,471,916,030,225,483,141,719,000,527,427,687,292,644,716,
885,986,338,784,818,388,468,988,245,300,151,916,515,418,750,806,726,101,908,
091,467,490,706,278,168,106,003,035,557,450,823,547,592,123,949,956,970,395,
729,444,651,118,420,892,414,559,372,594,200,632,123,891,577,035,633,547,819,
900,251,155,525,241,707,901,346,704,665,592,261,017,168,675,276,415,969,715,
411,113,089,627,827,669,035,980,867,489,581,527,362,381,408,936,895,848,913,
829,483,333,839,753,726,829,726,895,645,127,681,081,050,208,208,512,065,638,
642,906,630,274,806,159,659,502,042,835,231,500,101,378,253,565,597,191,953,
012,481,588,305,253,214,006,916,914,468,395,168,578,617,644,903,284,595,272,
417,187,607,057,156,753,209,394,074,172,702,283,819,170,695,819,195,235,411,
873,824,644,768,016,391,058,234,720,350,506,796,181,792,880,401,577,095,884,
938,629,717,636,495,382,451,071,712,713,100,493,454,702,263,078,574,042,437,
853,621,038,541,022,376,139,744,584,477,882,646,605,069,654,036,285,664,413,
857,964,067,212,789,728,616,147,588,129,829,720,580,263,789,692,133,898,255,
672,136,043,508,334,767,961,524,669,267,175,127,193,633,867,077,857,966,897,
260,489,545,401,618,618,903,633,624,567,390,046,741,327,658,422,263,745,426,
326,691,340,707,579,999,856,924,714,759,144,909,119,499,923,473,352,494,690,
446,093,116,074,752,933,825,433,577,313,052,124,523,975,488,995,283,649,121,
917,090,541,482,958,091,245,603,999,837,396,144,894,995,294,891,334,949,443,
789,975,915,639,434,036,052,987,926,379,871,555,567,736,149,695,340,032,512,
060,983,067,090,652,735,889,457,209,181,717,159,887,397,063,607,042,516,398,
818,803,995,582,607,077,733,795,917,848,528,685,192,701,328,463,907,552,861,
846,952,952,564,635,587,884,518,824,826,526,787,041,103,780,959,549,425,896,
925,842,278,027,574,813,024,767,973,296,807,810,438,363,300,074,715,834,313,
999,129,866,280,711,239,392,698,533,965,212,599,439,776,608,079,190,136,502,
710,279,829,050,897,041,692,112,873,691,028,139,570,739,274,315,747,625,959,
059,111,913,798,307,257,970,179,489,130,741,778,864,049,134,018,525,847,915,
715,316,677,619,569,169,753,399,170,916,848,613,859,588,163,864,092,796,988,
367,125,169,387,262,607,400,973,498,121,219,048,787,844,763,406,068,990,447,
067,552,552,887,335,831,949,968,538,851,573,418,994,200,479,083,758,432,474,
728,624,103,612,045,498,173,373,148,024,798,844,757,699,587,872,031,784,205,
284,021,729,127,491,858,871,035,389,742,741,226,203,077,548,363,465,924,511,
563,272,484,707,379,547,120,814,470,832,454,150,139,818,987,607,531,414,010,
425,088,240,231,633,858,598,559,457,135,768,308,917,329,391,197,000,354,792,
877,300,007,081,350,611,911,142,446,503,730,115,255,783,669,856,446,726,407,
895,465,635,766,774,609,963,200,149,150,550,554,790,876,035,230,347,194,046,
140,954,183,411,026,559,668,472,686,340,949,061,199,810,779,643,577,222,692,
296,781,036,143,609,686,214,624,480,719,756,050,040,178,456,519,134,106,443,
315,749,155,945,777,492,695,447,462,872,407,924,775,191,032,935,907,974,208,
222,512,729,121,019,210,555,194,910,113,178,131,206,204,806,372,235,804,158,
137,967,060,988,818,767,496,337,633,290,456,516,266,808,271,639,194,281,887,
250,129,942,817,751,195,783,647,701,411,369,162,888,147,908,835,705,731,447,
796,444,701,196,211,785,016,301,805,288,470,587,102,433,704,835,439,470,136,
848,362,474,227,511,205,215,794,827,707,997,969,697,189,482,490,490,125,848,
561,123,288,863,224,191,619,175,193,541,286,988,186,304,478,602,904,546,268,
095,156,837,425,642,049,970,802,839,722,314,650,321,445,429,245,708,771,795,
812,802,568,876,557,628,104,705,568,581,090,440,094,255,046,801,753,611,222,
741,925,698,915,352,560,480,590,027,120,419,722,480,459,466,070,377,031,373,
209,571,089,757,742,794,567,767,011,967,765,725,539,399,113,739,796,349,463,
930,911,874,468,527,487,136,857,010,772,866,118,896,488,654,182,498,774,773,
279,765,032,280,132,430,454,859,415,172,410,825,193,328,309,913,546,297,895,
661,259,754,830,238,459,807,257,031,042,978,541,385,738,429,976,026,829,335,
999,414,364,931,590,677,352,200,425,762,837,024,699,766,263,313,599,123,374,
862,780,618,571,573,892,133,843,811,918,665,349,554,615,296,077,493,206,698,
031,237,479,299,289,305,480,716,537,635,288,136,743,443,806,506,398,641,171,
607,907,064,193,759,053,974,606,607,100,721,090,990,023,529,037,672,768,034,
621,012,660,476,860,177,835,772,464,675,023,119,083,977,124,981,058,190,835,
858,180,526,610,159,396,222,141,395,735,790,705,781,280,979,550,494,347,444,
515,061,253,740,533,799,499,733,741,841,187,055,344,222,086,493,263,565,720,
955,023,743,524,850,498,707,628,931,881,535,489,922,061,609,098,524,130,177,
219,492,011,617,705,148,817,850,537,479,223,631,974,238,864,463,010,234,648,
561,258,568,102,883,669,715,921,027,777,444,315,066,142,408,953,661,117,813,
209,557,622,371,221,600,342,724,180,897,076,366,477,983,059,669,494,689,893,
362,302,553,276,562,517,517,356,828,690,698,090,368,820,124,270,258,915,960,
319,899,438,433,047,372,222,274,001,148,059,391,948,721,563,157,750,794,370,
471,922,067,650,895,862,408,293,123,553,547,879,307,410,799,594,879,842,018,
092,281,484,115,581,258,853,085,215,796,701,167,122,442,866,262,408,471,386,
611,724,782,791,518,778,379,736,724,232,756,548,243,846,830,457,580,460,409,
479,556,977,400,201,137,337,288,435,524,442,251,186,159,448,105,226,037,998,
843,564,211,482,718,069,077,525,626,986,476,823,573,764,354,441,451,834,026,
370,611,399,613,823,625,155,991,090,132,721,317,810,665,359,475,545,507,268,
009,711,315,328,100,950,974,653,095,747,069,346,279,377,679,392,655,520,439,
894,706,072,890,894,149,574,384,958,424,674,022,345,734,885,148,524,425,076,
680,302,400,404,660,346,857,688,761,559,646,070,177,620,731,424,411,098,630,
662,644,685,869,697,380,029,868,473,389,976,884,366,003,829,745,533,990,025,
492,309,589,344,744,650,024,628,962,853,932,274,677,988,313,066,832,976,760,
230,430,742,373,106,305,714,704,432,194,284,804,844,255,579,553,536,399,857,
953,470,588,361,688,389,869,579,273,455,629,672,483,394,157,458,640,819,797,
592,083,361,891,540,066,485,418,627,196,634,384,860,818,062,013,864,375,952,
837,704,384,314,140,509,691,756,744,476,873,915,852,196,308,728,047,006,591,
369,881,602,021,431,895,219,898,856,712,605,637,788,329,602,347,469,576,239,
729,952,595,444,146,399,296,892,532,321,375,221,688,679,721,393,163,655,762,
623,561,800,593,873,751,968,847,287,653,627,564,104,364,888,912,179,027,550,
321,178,385,427,409,473,420,381,055,205,653,765,439,542,731,640,125,805,276,
525,022,453,873,796,967,929,120,149,559,718,638,953,933,379,784,444,735,907,
765,069,363,104,737,966,881,292,088,062,695,022,523,565,104,850,332,463,621,
782,405,812,558,640,709,456,618,485,179,691,447,833,099,302,709,073,552,146,
475,887,812,353,530,590,134,541,815,357,902,774,384,139,160,942,477,505,213,
424,844,504,024,772,791,458,155,237,950,166,250,046,219,418,080,305,608,633,
829,114,116,195,789,368,567,930,896,107,256,647,051,951,892,932,937,507,740,
970,341,007,624,277,111,551,596,039,547,662,733,047,650,243,171,474,585,243,
933,255,571,352,227,883,769,723,415,850,473,775,855,909,690,556,788,314,950,
607,447,503,003,397,370,840,602,984,473,895,975,326,178,948,454,349,028,211,
113,415,197,847,786,531,840,277,846,454,749,102,212,433,577,852,796,983,761,
182,973,973,841,549,978,669,495,029,349,148,905,334,940,019,885,466,521,206,
291,211,602,230,356,781,305,315,615,061,743,125,208,206,124,597,278,020,285,
833,833,983,832,558,700,980,801,007,656,255,134,490,434,373,276,554,151,168,
344,620,416,376,150,906,160,070,274,986,431,626,465,287,821,143,581,425,889,
525,444,993,783,040,860,713,989,655,705,021,761,279,400,289,218,973,915,001,
479,263,339,495,215,180,490,368,747,424,802,231,219,145,471,708,452,044,626,
161,813,978,683,996,222,891,807,077,523,903,247,745,348,546,041,299,908,883,
785,262,706,783,550,503,268,378,962,897,647,823,003,184,444,116,199,566,382,
994,221,691,364,706,564,297,640,564,210,020,980,288,238,385,984,591,893,148,
433,321,441,289,814,991,640,168,640,061,460,539,309,462,921,791,461,699,787,
379,300,274,684,055,581,205,567,928,533,884,784,791,812,987,693,596,593,330,
162,326,266,263,931,149,054,785,719,034,377,242,266,107,122,351,374,735,735,
715,783,852,818,343,074,667,308,881,233,992,873,896,026,963,309,431,657,516,
081,149,771,162,625,871,918,388,063,438,446,300,107,989,513,554,450,521,608,
159,923,684,399,868,639,191,005,383,110,913,493,723,026,025,334,994,782,262,
588,857,055,359,913,187,218,237,093,136,668,710,570,760,191,232,557,065,779,
254,045,497,624,035,246,575,764,386,549,103,613,127,946,893,006,510,347,256,
821,234,553,597,142,674,946,882,474,017,450,201,850,538,605,053,291,007,531,
020,550,895,830,060,344,945,896,756,079,166,480,024,130,859,665,513,791,237,
567,509,117,624,039,350,027,969,030,172,408,301,537,025,383,609,693,914,404,
454,549,433,744,125,255,947,878,688,581,370,096,483,451,023,502,361,574,548,
872,707,610,885,757,678,233,560,004,394,038,340,206,479,751,551,755,465,981,
166,162,883,565,591,784,466,234,193,125,906,402,648,737,903,269,737,151,560,
823,663,769,655,994,029,634,533,467,053,987,490,684,924,861,809,592,214,758,
548,804,445,758,683,405,372,350,308,260,188,558,908,155,997,188,735,070,786,
616,159,423,407,344,629,148,850,711,205,137,128,514,868,570,657,524,462,971,
569,616,287,413,775,889,053,293,204,322,185,261,771,119,390,045,040,825,948,
105,656,206,700,010,648,096,892,496,157,815,740,060,486,264,551,350,436,361,
851,668,420,948,583,262,245,557,814,412,923,413,204,926,635,885,197,574,492,
917,232,176,505,370,415,373,382,779,937,812,233,413,939,316,028,071,415,673,
700,197,331,351,394,725,525,078,682,871,798,489,622,783,153,881,668,340,684,
547,394,260,478,177,572,541,536,310,646,239,340,731,424,790,415,724,441,594,
306,314,250,933,927,302,801,166,616,635,515,780,507,752,284,773,352,257,652,
726,285,620,360,058,254,174,590,145,009,186,985,567,072,556,225,045,854,811,
063,428,011,618,843,256,261,851,219,786,544,682,288,315,170,793,287,743,689,
858,919,096,801,005,089,497,978,193,697,022,587,874,131,379,011,759,784,012,
827,668,798,809,375,413,064,264,637,104,571,305,090,687,096,288,224,878,648,
574,957,737,867,135,213,725,517,849,648,232,497,120,474,193,437,013,555,177,
394,306,548,984,812,641,129,521,552,807,127,442,243,422,999,883,965,731,078,
827,560,416,280,445,242,460,328,044,749,667,194,844,570,749,413,795,495,866,
410,072,066,004,057,805,489,342,849,139,746,910,200,319,359,784,509,952,626,
249,261,635,519,970,675,847,086,748,257,556,704,201,888,410,991,235,628,339,
234,478,855,052,846,344,287,272,175,993,521,184,103,291,816,041,670,574,515,
796,926,058,852,292,774,959,365,208,910,480,863,030,201,017,588,986,349,940,
827,936,368,163,805,817,895,332,121,194,030,824,330,370,041,420,927,739,009,
981,662,202,995,674,431,430,476,368,267,566,271,615,290,737,860,839,743,958,
798,694,214,671,459,162,928,243,478,639,359,433,882,981,891,334,847,034,233,
885,963,381,491,244,461,056,482,510,593,682,413,469,028,779,832,933,544,134,
656,790,411,353,245,861,367,928,026,013,947,213,916,918,590,531,879,997,069,
812,445,150,739,351,615,098,080,393,680,050,789,726,939,439,868,363,427,771,
306,999,250,945,135,568,370,776,851,478,765,169,787,443,756,540,302,244,637,
116,243,774,587,440,224,479,613,157,232,752,846,128,791,764,463,820,980,628,
910,705,735,800,233,779,823,488,690,454,819,594,658,822,083,275,277,400,069,
951,960,843,765,703,579,245,797,045,315,697,300,109,376,265,120,297,774,731,
740,611,615,866,525,354,482,945,056,399,349,223,496,484,971,553,783,685,016,
428,053,633,467,931,085,503,067,062,583,084,125,114,265,535,662,732,374,770,
228,085,775,750,916,224,395,870,226,271,385,430,863,252,455,873,678,500,931,
935,193,451,190,446,855,398,783,110,442,475,386,644,081,958,305,060,011,092,
465,832,963,711,983,258,776,192,680,409,596,984,926,368,253,257,848,041,958,
637,255,329,454,952,665,084,133,654,971,724,759,291,319,458,965,071,176,166,
892,499,646,798,361,418,180,359,219,899,176,482,308,463,958,115,313,630,350,
925,236,126,158,838,663,411,705,273,732,797,429,401,333,971,057,420,654,328,
119,213,987,984,051,060,170,396,897,208,764,760,559,211,902,485,959,195,333,
703,750,380,571,593,687,222,768,555,632,966,709,465,239,420,416,056,648,473,
350,475,009,704,990,542,965,411,475,242,937,176,781,231,919,167,696,827,751,
976,840,504,665,638,536,455,774,820,392,920,236,006,087,407,538,304,463,883,
441,377,335,937,161,028,024,397,695,676,906,836,952,153,233,157,444,615,141,
441,279,517,604,763,683,807,050,845,677,827,071,399,407,869,936,848,823,040,
177,398,817,028,397,689,686,912,416,251,911,430,554,154,237,237,549,698,327,
036,383,843,165,860,438,625,521,402,701,524,653,924,130,167,977,745,644,449,
539,239,947,936,366,738,438,872,801,945,164,350,652,528,204,639,445,773,763,
690,710,679,108,758,495,118,757,698,870,121,177,905,010,562,814,741,264,280,
990,700,634,360,971,289,842,936,381,206,607,176,048,823,757,773,476,147,205,
614,578,962,383,316,513,048,549,030,862,630,670,919,034,089,043,873,419,268,
580,674,632,755,612,088,751,848,489,783,877,138,317,362,026,991,931,637,103,
751,880,843,728,156,974,663,828,940,123,134,156,401,697,287,941,220,158,914,
692,669,693,152,435,764,366,148,621,519,696,148,361,559,150,961,256,030,090,
884,940,966,673,085,803,917,397,489,504,169,783,371,727,547,446,867,529,792,
185,495,401,626,651,516,709,174,670,221,072,178,527,656,158,563,279,361,360,
974,012,966,416,296,315,995,936,830,096,903,232,241,038,087,914,548,556,813,
153,136,424,192,529,257,905,035,452,720,478,949,339,889,409,315,655,743,440,
454,166,134,830,535,747,031,999,087,228,573,894,934,570,638,197,899,816,115,
480,953,210,964,024,535,245,836,420,424,503,837,972,015,663,015,672,493,505,
254,587,902,362,383,735,175,908,296,388,273,577,047,919,554,570,941,257,447,
977,711,283,114,062,556,140,846,862,102,522,273,295,964,936,253,241,173,436,
183,272,391,774,932,109,977,380,350,191,264,763,409,674,986,981,026,170,333,
743,819,654,994,254,792,251,101,152,061,146,679,043,674,558,139,953,035,084,
130,051,688,762,014,294,087,264,992,322,569,075,185,155,915,828,239,816,781,
180,553,644,930,329,050,268,318,170,233,459,035,638,291,369,086,113,852,513,
664,507,483,872,791,634,544,618,315,948,211,618,734,421,077,675,811,197,646,
910,989,823,531,399,220,754,557,379,304,386,188,194,075,507,520,604,488,437,
715,633,228,141,581,562,134,649,518,574,024,812,233,474,019,563,025,477,561,
329,632,117,637,703,688,127,746,717,713,861,234,294,214,751,492,109,546,518,
464,677,526,748,401,803,203,258,659,308,488,370,838,406,632,264,385,131,234,
989,390,618,429,462,760,605,308,587,129,606,895,761,303,449,342,507,242,548,
030,077,415,412,352,318,000,922,572,269,399,543,496,247,380,788,957,098,625,
633,288,450,786,167,120,142,540,244,247,367,944,224,267,357,229,134,342,942,
828,963,061,864,824,568,542,020,821,265,740,650,097,204,159,107,790,893,362,
140,684,667,296,218,540,552,727,845,803,530,332,428,142,245,215,130,977,742,
293,388,121,506,602,939,407,886,691,809,593,066,807,257,849,542,316,010,950,
926,595,526,529,497,204,550,973,373,038,227,045,927,631,958,203,447,027,887,
916,182,114,242,775,265,690,565,754,199,125,977,269,119,182,398,237,621,502,
185,675,735,107,156,925,926,623,851,789,640,165,686,113,189,921,176,869,501,
473,235,339,332,569,850,098,880,622,954,437,155,315,765,220,400,040,017,188,
352,970,941,547,238,137,452,937,667,766,868,562,584,549,170,795,847,935,456,
525,046,728,972,984,697,332,953,978,658,913,182,918,990,651,741,853,365,807,
487,255,414,670,399,409,345,318,034,329,228,890,384,721,452,923,193,156,423,
665,299,610,978,217,565,534,325,937,493,387,938,425,359,334,579,452,395,130,
441,059,850,809,686,660,822,127,800,920,179,219,834,027,593,657,774,164,479,
527,986,851,429,228,605,414,008,994,329,866,915,530,132,531,299,181,671,034,
629,431,176,696,094,558,002,286,810,371,929,230,901,722,138,551,611,720,776,
116,936,783,674,998,371,501,631,685,475,466,315,483,906,312,440,857,088,276,
957,839,378,995,108,896,697,666,894,005,232,338,386,821,709,639,453,929,423,
350,642,011,789,100,264,808,812,228,090,899,622,757,586,060,923,422,694,514,
463,290,536,296,817,039,823,687,378,200,937,266,874,322,506,216,754,759,389,
992,761,725,246,771,425,627,438,906,387,854,369,385,323,233,744,452,207,863,
702,916,750,652,807,628,299,052,570,434,808,857,471,066,255,313,138,908,307,
276,747,708,123,811,541,886,228,654,628,889,200,844,693,676,537,994,220,543,
320,834,077,958,823,005,562,199,476,080,416,053,301,660,699,453,736,043,545,
871,345,919,906,689,586,531,011,725,058,631,475,417,742,024,193,820,619,374,
777,700,882,779,945,605,142,976,617,530,447,622,469,652,295,243,192,216,260,
327,248,632,096,910,862,494,472,488,323,159,661,443,803,012,792,792,292,866,
535,589,956,456,271,656,230,420,480,502,496,855,448,020,873,481,141,759,461,
724,015,400,828,159,173,982,777,860,253,323,925,904,871,242,829,703,430,269,
188,194,855,376,075,816,319,612,866,144,576,998,872,086,566,567,539,936,192,
056,394,567,824,258,716,399,658,688,290,201,009,597,798,723,405,613,015,234,
754,787,950,693,354,331,525,383,230,059,735,296,594,756,009,324,299,371,829,
475,045,067,892,226,489,110,936,536,887,908,623,265,080,755,930,356,364,267,
288,130,835,053,674,531,887,024,770,039,171,879,564,837,835,622,974,358,336,
988,812,817,289,930,766,584,112,549,049,240,555,202,505,675,242,333,243,664,
124,754,646,428,472,318,193,928,298,411,109,835,394,786,757,586,800,772,712,
450,636,463,962,868,832,987,362,499,419,842,526,761,825,708,589,879,559,264,
886,871,198,175,464,583,131,351,154,560,292,177,545,576,302,499,363,995,498,
337,599,314,260,638,487,657,421,454,474,404,776,859,433,072,310,711,447,910,
019,151,321,977,713,001,167,560,017,538,190,827,402,101,211,319,544,149,205,
575,491,563,666,473,454,528,358,840,801,041,006,943,275,982,225,526,740,632,
887,125,264,014,539,935,979,374,006,600,338,322,161,587,910,841,689,799,827,
402,586,928,389,190,571,198,545,038,669,121,155,710,746,313,330,650,867,178,
135,910,023,841,670,282,555,921,131,686,477,047,910,386,569,385,836,375,874,
663,341,881,584,604,165,705,495,615,422,190,716,895,996,307,682,069,608,712,
905,495,580,078,039,568,254,885,815,795,971,859,026,766,583,665,036,130,283,
545,224,175,946,714,533,642,909,363,552,555,521,147,304,861,999,307,904,464,
221,800,964,837,737,705,895,549,241,163,960,949,807,160,964,034,573,259,681,
849,442,397,017,519,461,172,633,969,151,030,036,305,065,215,680,030,990,931,
282,965,977,630,627,310,207,702,935,634,308,179,326,172,639,942,814,449,374,
068,140,870,391,797,665,794,774,680,945,652,493,730,367,780,519,926,808,391,
192,409,531,285,011,501,526,706,839,291,085,672,048,211,067,709,289,152,276,
646,221,172,699,997,648,116,015,709,821,083,474,213,026,365,473,806,150,064,
430,818,613,518,754,500,275,636,158,976,879,067,353,640,006,007,775,231,492,
548,459,616,037,865,900,796,400,455,657,764,175,881,765,830,866,623,224,540,
508,386,349,709,699,908,635,383,493,141,208,924,745,704,004,684,997,009,511,
490,104,356,576,544,169,233,028,322,100,531,425,370,725,913,854,549,147,421,
867,464,130,606,651,255,868,350,178,423,798,126,382,656,893,485,823,132,277,
425,620,171,349,057,546,827,360,225,030,954,140,303,743,527,382,455,024,092,
287,426,863,914,292,290,073,160,544,903,645,770,652,675,890,917,169,461,890,
872,822,968,924,472,224,145,602,291,768,808,538,001,968,463,969,358,178,527,
160,327,932,790,503,813,614,456,810,028,591,972,421,229,446,192,402,391,670,
032,821,739,105,323,250,127,374,407,919,212,236,932,511,024,182,284,678,412,
384,992,514,473,614,807,388,312,468,237,072,324,100,408,962,648,189,511,995,
238,188,361,987,215,675,910,721,912,248,275,984,959,185,947,226,507,318,524,
102,611,336,631,373,298,317,285,090,484,589,920,442,061,236,551,325,040,549,
770,890,378,837,923,255,358,959,479,941,960,966,712,494,279,389,167,390,986,
355,073,681,958,792,457,164,010,936,436,868,518,525,619,360,601,155,395,024,
858,975,604,913,640,839,906,625,554,587,443,412,831,427,169,408,732,601,296,
829,731,336,793,526,624,533,337,453,448,831,504,931,879,379,563,543,978,374,
300,048,007,834,078,957,419,812,333,161,586,100,788,432,511,001,457,152,523,
922,137,140,212,446,599,619,804,243,028,689,280,014,473,696,523,436,536,463,
970,250,330,586,538,096,532,866,283,144,908,947,910,547,188,961,821,112,654,
709,388,930,018,631,847,663,928,816,756,157,635,487,483,536,997,859,631,641,
979,675,102,133,345,897,841,905,869,540,978,511,384,172,671,880,861,638,607,
194,704,156,467,146,363,092,875,287,459,303,633,745,076,143,534,060,356,220,
349,919,026,406,419,398,771,578,739,221,483,320,942,730,238,698,950,164,536,
373,889,510,364,245,880,081,786,419,375,393,194,063,477,464,865,301,532,543,
214,570,530,999,649,721,451,199,611,745,677,898,110,132,814,860,823,016,020,
045,190,232,392,188,884,793,313,969,399,300,205,944,875,447,003,121,429,266,
404,426,307,650,739,660,580,027,549,775,107,996,690,558,316,313,135,665,115,
379,976,770,651,705,412,998,114,437,224,978,223,809,298,590,383,063,134,788,
061,070,443,131,600,978,404,110,726,469,930,526,580,931,586,051,539,699,393,
283,599,830,607,401,501,905,124,355,304,163,289,563,092,354,986,946,974,243,
719,398,707,383,724,370,980,547,761,562,687,942,701,062,348,248,942,742,299,
365,898,448,305,961,959,926,099,823,087,964,752,170,424,565,407,718,225,662,
512,956,554,451,587,184,070,006,592,152,587,477,679,908,030,225,720,900,685,
747,652,794,690,489,437,995,916,958,367,297,785,228,859,193,376,130,033,780,
528,126,578,087,760,412,148,323,566,488,436,786,306,806,590,593,329,245,606,
661,862,034,764,032,011,782,413,225,150,436,210,515,940,409,337,635,620,407,
916,550,506,977,542,699,257,741,887,548,713,207,562,207,424,899,409,424,054,
909,499,725,225,646,776,730,510,483,802,774,120,170,493,485,332,527,288,700,
239,418,141,618,136,546,199,771,884,759,720,535,862,719,095,414,039,575,843,
986,696,007,205,902,174,862,860,833,573,427,077,409,116,055,466,237,824,624,
828,232,115,810,800,211,006,558,964,530,193,952,707,818,078,659,277,523,946,
147,827,198,353,232,484,186,130,964,772,483,250,841,048,004,907,141,532,951,
056,646,342,875,299,445,196,895,300,759,290,724,811,544,424,245,369,246,278,
864,883,564,361,701,741,421,246,135,215,778,605,024,575,839,482,679,716,960,
293,305,966,908,396,255,238,235,974,752,315,993,369,824,893,019,904,056,586,
713,703,280,950,141,934,738,309,637,652,596,621,101,707,234,859,127,313,426,
659,893,608,639,378,862,388,791,743,066,486,994,034,535,847,951,239,878,996,
339,026,712,167,679,747,127,643,638,043,723,594,866,514,314,457,108,094,044,
950,250,977,068,423,745,794,249,794,291,674,624,702,082,486,851,015,093,606,
069,000,222,596,530,860,640,812,936,023,661,914,178,477,008,952,128,784,402,
906,863,906,972,245,769,659,553,552,252,009,833,821,940,606,405,625,315,526,
496,454,337,544,068,488,162,939,569,815,299,050,912,484,307,537,787,102,818,
864,421,974,801,868,796,680,922,974,581,080,637,943,418,420,844,481,126,916,
078,515,331,715,724,220,926,184,362,850,907,317,424,217,121,572,847,505,903,
826,813,262,887,980,642,380,810,520,182,419,803,022,802,396,960,415,666,317,
257,841,327,700,174,729,722,212,184,704,097,889,472,401,560,530,122,543,773,
976,321,068,819,309,696,779,217,362,254,085,707,188,126,375,691,128,498,727,
769,911,103,728,892,513,992,287,994,908,274,512,876,663,074,859,947,309,016,
651,322,017,067,077,198,352,036,109,852,668,187,392,353,018,410,605,444,978,
537,183,198,424,331,477,391,630,482,524,645,754,119,417,734,788,205,867,607,
214,237,489,159,441,884,958,085,214,075,474,261,646,707,935,686,882,564,629,
217,062,324,982,156,753,648,655,829,683,250,255,297,014,983,158,693,607,285,
665,096,504,084,091,662,936,237,159,083,142,053,179,923,686,854,656,324,979,
893,860,520,640,315,807,147,885,277,236,503,537,444,586,939,114,809,612,801,
008,004,518,129,603,139,273,966,288,564,127,629,736,861,756,567,427,324,001,
392,644,052,980,005,349,249,639,764,374,078,561,673,637,661,478,391,310,372,
230,127,010,124,202,998,135,016,804,422,471,565,145,940,461,300,815,449,884,
581,271,910,293,401,328,979,120,675,941,383,478,084,190,628,621,143,249,745,
328,663,715,023,837,752,964,407,567,805,329,989,156,252,606,127,961,847,969,
581,678,128,688,807,660,649,653,781,908,673,577,892,282,753,194,451,154,531,
148,201,121,336,936,127,404,041,168,404,309,210,030,108,605,058,380,560,861,
660,851,776,266,913,650,391,849,553,827,116,768,466,282,512,432,640,462,399,
298,236,828,270,673,026,467,096,776,339,415,415,410,631,434,595,835,361,219,
057,802,847,783,556,098,455,701,089,666,121,111,103,382,728,786,179,540,729,
914,710,025,798,258,033,031,280,013,919,388,849,548,316,558,847,269,686,756,
299,241,549,607,774,715,855,372,895,178,450,834,884,740,278,228,379,932,350,
444,218,474,249,904,086,587,343,104,786,605,729,519,094,658,744,870,384,473,
816,344,669,589,046,760,337,220,828,056,873,272,111,169,733,006,166,385,454,
438,557,831,572,261,484,252,239,308,234,887,813,502,139,810,543,739,170,503,
731,398,115,065,691,798,973,254,656,862,842,619,135,836,858,572,953,834,755,
463,562,608,189,215,691,395,231,626,484,625,043,099,198,740,406,553,914,682,
482,316,731,610,624,915,999,258,599,098,661,021,313,369,248,250,638,392,373,
428,834,070,880,194,129,135,383,340,688,300,422,897,797,990,032,183,396,315,
237,066,773,306,591,127,573,140,239,041,297,181,905,146,716,714,939,612,128,
566,701,392,383,568,232,076,222,696,778,701,343,289,712,213,193,871,682,734,
962,263,625,792,640,105,972,451,944,032,548,103,790,084,417,122,061,031,415,
987,858,192,418,575,422,837,880,320,373,087,269,477,911,769,979,007,415,752,
065,063,293,830,700,653,354,069,550,176,562,563,300,939,427,363,781,184,884,
091,350,130,276,930,580,251,688,167,738,006,005,478,979,909,556,972,220,320,
621,906,100,406,778,086,315,138,609,949,156,622,411,164,023,869,911,035,905,
691,571,367,872,887,576,939,948,923,391,797,942,044,731,705,981,600,866,133,
226,144,090,217,983,543,959,569,792,271,737,459,626,743,582,457,468,136,063,
361,955,462,857,615,364,634,280,997,374,698,220,593,838,445,579,585,281,192,
776,782,191,138,867,336,120,335,044,171,835,349,425,267,804,652,071,522,279,
892,325,076,703,145,111,191,414,083,698,854,918,982,422,797,060,965,876,502,
932,693,128,169,665,340,948,462,626,188,798,248,823,279,615,015,512,307,525,
573,776,495,988,182,632,831,183,377,241,642,034,617,630,868,635,048,912,601,
244,472,529,813,161,068,321,834,848,765,584,498,813,057,743,122,398,930,564,
340,780,793,994,248,151,996,184,000,080,121,099,373,032,029,531,035,422,729,
492,908,404,564,233,004,235,534,945,050,848,104,202,112,149,294,043,774,780,
355,098,815,491,817,241,733,967,129,163,481,378,913,159,486,871,427,524,377,
764,120,895,968,650,741,976,841,831,320,000,615,309,704,524,744,947,965,195,
648,191,805,338,290,595,270,900,722,573,312,266,037,120,270,827,881,364,826,
117,672,301,523,801,344,803,449,910,554,857,653,088,859,631,838,288,226,214,
572,837,185,667,495,785,542,253,753,025,896,111,993,797,590,694,495,852,248,
252,335,518,626,560,981,991,065,938,925,930,902,870,453,571,427,859,823,439,
900,417,069,320,138,492,839,634,878,342,777,137,438,388,017,738,463,954,068,
346,260,795,827,930,143,837,829,845,561,794,098,718,125,675,898,667,007,598,
998,067,705,031,562,276,481,790,949,365,399,914,179,025,643,406,944,055,688,
008,617,946,759,805,648,855,151,152,991,680,345,683,603,544,915,032,453,310,
475,273,353,266,159,132,799,811,728,822,486,711,443,102,098,691,332,870,435,
165,925,156,291,882,003,993,930,509,968,059,794,941,393,906,252,983,576,184,
105,733,159,346,288,541,363,292,004,620,846,841,732,495,627,246,929,130,209,
897,597,973,002,014,982,895,817,755,685,415,944,090,915,899,604,765,649,040,
280,345,761,464,437,019,336,383,398,323,497,080,583,351,160,010,223,591,560,
194,052,396,936,723,751,327,535,991,154,471,387,920,001,181,112,076,408,061,
844,249,416,959,326,277,469,159,618,295,556,964,497,497,975,400,615,516,054,
238,032,730,962,546,074,616,210,508,290,990,786,690,480,625,656,945,066,587,
863,087,836,571,072,029,163,335,820,953,835,973,962,089,527,712,870,891,726,
464,806,838,268,508,292,693,197,702,135,134,240,541,286,901,044,791,286,750,
256,026,097,029,921,326,837,611,499,053,322,750,296,725,312,858,844,774,462,
830,340,382,197,943,700,892,824,597,525,190,816,923,423,927,556,379,176,273,
232,078,973,211,232,975,523,763,713,922,506,500,804,900,371,952,805,520,858,
379,936,024,402,798,608,959,789,754,014,822,485,448,592,846,023,718,905,001,
389,041,766,281,230,341,496,993,537,850,683,802,076,067,799,690,296,849,792,
009,328,781,624,863,988,736,845,015,217,728,407,025,420,955,765,738,883,660,
235,330,789,863,997,253,973,858,345,816,837,672,618,387,776,292,590,098,875,
409,718,619,554,844,954,316,519,855,100,900,415,596,213,836,368,409,713,661,
318,465,289,048,023,449,543,399,621,308,328,524,989,600,338,102,808,425,692,
919,328,562,097,001,560,236,966,832,809,939,152,946,176,441,147,192,840,851,
399,754,379,651,292,747,507,568,602,688,666,201,049,445,888,621,294,625,078,
247,434,497,650,361,033,015,133,603,338,997,435,483,330,650,634,346,390,949,
890,214,495,706,167,532,707,836,025,347,373,459,599,997,002,639,819,414,810,
149,583,894,404,094,391,621,460,470,138,375,730,491,338,278,351,633,783,264,
923,757,641,578,326,560,174,747,608,309,115,439,577,291,850,964,066,915,305,
958,713,618,292,090,752,761,818,920,453,499,645,526,435,517,062,430,831,470,
663,650,393,606,378,356,468,922,694,153,182,319,724,672,178,617,543,444,852,
444,082,687,759,240,580,773,824,527,294,112,684,105,401,947,472,193,002,719,
758,319,509,721,382,484,173,206,719,555,360,113,839,069,549,139,513,178,695,
598,998,223,476,924,121,858,175,285,934,818,458,604,203,160,860,530,009,470,
624,079,877,148,047,907,352,072,890,639,960,223,072,715,826,857,689,234,960,
140,395,240,828,952,055,415,090,895,849,964,552,714,504,829,006,616,371,137,
318,409,730,731,395,826,627,673,881,049,627,070,729,350,533,713,769,310,640,
073,103,502,189,201,235,076,060,855,340,765,423,162,060,996,014,562,026,925,
465,745,006,806,278,025,204,064,611,630,577,220,580,877,888,455,404,642,138,
432,575,234,699,627,678,527,373,335,221,474,533,370,263,988,703,605,267,479,
469,924,261,290,966,916,656,844,401,520,103,683,289,502,751,905,152,829,804,
013,566,948,550,464,180,779,371,796,438,904,428,097,476,084,784,787,503,193,
509,365,909,518,550,873,846,978,937,595,611,547,683,007,444,151,348,508,501,
655,478,196,334,431,067,553,259,441,381,516,520,186,653,816,309,094,787,979,
085,983,145,295,243,532,280,767,262,497,565,606,727,700,573,356,977,375,486,
996,470,403,057,371,097,615,580,485,598,585,877,562,345,121,725,048,168,610,
917,052,657,843,540,544,040,620,158,885,139,411,872,695,602,291,341,029,593,
401,579,454,266,891,199,119,041,570,906,471,766,145,698,266,170,611,155,710,
108,414,247,999,205,289,149,830,748,169,077,958,676,322,122,818,318,809,351,
555,143,661,081,380,800,225,605,077,486,956,426,730,689,593,079,512,077,301,
263,601,585,076,408,852,161,734,294,795,751,044,107,924,090,603,276,465,465,
879,674,815,349,020,589,317,198,471,044,589,086,226,921,171,103,593,244,997,
860,313,702,081,665,041,693,180,508,547,795,125,845,264,690,835,169,694,436,
028,022,272,262,743,743,502,296,570,499,451,044,492,952,574,184,676,528,811,
240,761,391,777,828,657,166,541,571,555,971,165,560,984,398,848,811,053,430,
620,431,903,854,935,928,715,857,390,174,581,765,784,338,115,349,293,052,968,
298,006,354,448,767,105,483,209,921,512,620,322,758,462,862,880,131,171,706,
308,350,373,312,023,375,726,508,283,338,437,302,991,939,370,448,804,486,362,
659,296,691,181,829,886,977,932,262,896,124,051,065,724,893,488,208,011,970,
295,664,546,079,159,334,393,559,418,774,055,461,416,375,501,379,331,772,606,
980,455,914,447,596,904,097,962,941,724,226,026,543,798,228,542,776,841,036,
532,597,949,722,937,018,513,504,922,474,504,358,740,788,018,859,752,813,734,
891,352,011,944,779,863,977,889,282,827,594,276,834,465,497,604,689,820,501,
012,233,038,034,824,947,936,989,805,332,984,969,200,972,659,698,717,319,676,
304,287,757,675,927,375,208,879,185,445,312,538,339,757,717,204,468,804,907,
599,003,527,055,565,370,315,680,002,447,509,440,841,588,103,388,933,371,305,
782,956,207,031,468,962,734,070,054,896,960,740,104,736,964,860,718,046,690,
494,458,851,463,895,050,982,294,512,023,788,884,345,626,734,032,737,038,126,
679,971,839,899,615,165,438,500,546,687,814,440,114,382,998,346,072,339,903,
978,715,896,551,073,739,524,535,721,660,340,827,697,844,150,147,325,139,320,
472,928,222,682,577,977,837,455,515,685,899,704,230,644,507,620,952,330,683,
103,250,099,323,727,036,187,765,690,007,360,139,228,446,607,708,077,600,176,
476,974,131,094,977,118,530,741,644,087,612,665,555,744,301,885,343,445,105,
614,181,577,225,371,301,595,428,092,233,635,797,432,517,422,740,020,187,525,
605,437,399,311,245,110,439,461,938,794,614,796,363,940,227,349,779,324,981,
769,587,356,208,910,542,677,015,316,359,698,431,622,894,527,700,631,617,183,
091,278,335,497,244,468,493,659,877,894,190,783,836,245,145,439,562,819,579,
052,949,466,912,939,233,285,875,273,636,130,012,581,561,883,978,626,095,143,
054,318,028,066,046,958,518,852,192,000,589,869,787,953,483,055,816,531,366,
332,008,930,358,531,421,951,889,815,980,518,013,588,554,473,537,246,590,544,
412,906,993,035,739,458,728,521,977,556,043,317,724,545,296,856,294,938,895,
673,379,862,798,663,071,985,810,969,643,222,457,480,511,651,517,056,007,370,
807,135,872,375,001,967,325,899,382,983,243,807,781,291,007,676,704,083,850,
526,716,606,281,184,785,336,169,025,245,950,039,041,618,098,401,023,432,530,
044,630,900,739,624,175,236,495,995,074,961,197,550,100,447,789,644,256,135,
845,556,410,598,299,258,895,547,180,420,192,485,535,071,123,385,415,254,479,
395,291,428,835,776,794,006,618,731,671,078,486,220,498,388,681,013,367,377,
766,892,692,737,388,267,835,755,341,147,595,767,463,688,818,672,422,780,542,
391,471,117,485,890,262,607,245,522,357,679,364,355,007,523,978,156,953,596,
791,052,219,073,856,883,100,518,149,458,882,629,255,948,971,537,070,154,445,
345,975,254,407,143,841,475,649,925,158,479,000,424,296,357,377,371,495,225,
879,099,619,543,110,236,386,497,496,907,458,050,056,179,901,429,273,073,285,
039,222,339,228,536,647,543,208,306,171,429,074,087,527,910,024,819,479,984,
051,668,409,140,952,765,882,218,231,143,302,233,571,879,320,109,947,899,879,
484,221,607,130,218,661,111,131,869,302,139,438,544,246,304,730,334,012,333,
580,426,387,030,913,247,456,716,813,197,849,352,351,939,894,474,215,868,966,
724,280,033,002,854,796,812,168,489,664,405,922,652,609,405,860,280,779,846,
917,364,849,935,845,563,056,120,766,894,079,796,565,947,683,204,591,718,737,
965,272,941,545,353,848,516,492,885,092,279,362,454,683,376,174,280,026,540,
026,258,500,380,225,237,066,663,385,012,510,740,130,757,355,974,278,854,216,
387,886,944,355,257,995,249,998,773,694,303,112,014,562,582,914,140,885,050,
555,711,102,488,993,674,076,200,738,104,109,149,008,522,941,214,301,345,959,
240,887,812,409,402,426,852,852,149,979,451,889,729,581,533,072,788,272,282,
667,576,185,911,336,713,752,699,212,021,411,242,348,861,014,261,769,128,157,
874,410,019,867,551,763,585,513,847,271,535,312,627,690,648,355,206,858,958,
722,247,797,735,555,127,922,357,224,015,861,703,178,586,823,246,084,978,953,
684,685,322,694,395,372,180,602,876,365,788,585,112,316,717,456,607,129,188,
262,441,425,123,318,535,384,242,121,782,190,225,969,239,195,326,147,305,125,
792,062,393,865,782,717,814,676,537,944,972,297,964,350,948,313,333,818,929,
988,564,497,420,974,496,071,439,478,989,311,376,753,770,352,319,876,859,003,
046,349,194,611,271,331,832,064,068,526,230,027,341,759,351,381,270,502,875,
964,429,704,248,558,234,279,377,253,031,710,309,170,163,965,313,579,195,028,
867,334,734,314,382,842,550,331,222,091,358,121,803,259,570,208,214,483,546,
793,977,616,101,282,950,243,345,728,090,288,358,873,274,062,605,719,298,309,
441,264,678,400,669,707,700,200,439,582,834,485,175,414,780,864,805,068,593,
843,567,621,057,147,490,913,166,077,608,540,793,196,163,536,442,246,947,472,
326,605,166,952,270,570,960,716,186,474,611,018,462,269,911,078,452,255,829,
533,752,272,819,368,325,057,848,501,806,834,319,262,075,373,916,417,699,379,
521,533,416,055,038,769,119,635,765,320,264,621,296,526,654,621,331,301,242,
582,990,858,831,229,929,374,422,703,154,604,890,293,076,604,090,931,801,292,
652,521,516,233,198,245,033,126,390,398,857,783,630,077,846,535,047,274,265,
688,495,724,031,731,771,582,336,734,802,126,566,770,398,537,618,463,563,696,
115,860,124,935,267,743,861,161,036,844,301,845,696,317,569,922,135,531,978,
570,621,892,389,121,229,765,997,406,821,884,995,007,883,054,465,685,329,214,
709,285,851,901,782,631,666,106,748,940,355,166,964,658,191,622,271,648,610,
440,291,228,810,140,355,763,020,700,140,473,625,480,404,604,358,682,097,189,
802,330,119,245,881,644,135,891,854,954,949,835,868,472,926,786,416,989,619,
257,664,285,642,707,731,243,910,550,297,798,228,373,799,913,325,644,488,671,
457,786,520,239,680,913,270,710,157,655,789,092,490,663,082,696,372,794,933,
920,253,411,112,724,032,202,384,256,604,792,491,966,933,033,225,731,932,023,
482,446,166,565,033,681,351,244,209,477,650,244,649,297,014,008,394,506,940,
860,706,392,707,980,466,263,700,574,745,329,151,603,157,509,281,713,716,055,
862,398,817,471,018,741,098,878,218,569,731,610,576,602,680,905,826,924,579,
794,363,559,469,757,581,609,845,688,065,028,711,463,670,935,232,566,237,763,
832,750,092,875,678,190,157,667,662,909,616,944,618,389,746,173,869,201,803,
027,037,991,256,937,041,756,369,945,273,726,149,799,222,221,420,836,266,428,
378,204,881,485,246,625,915,236,724,404,435,016,819,352,420,111,859,510,292,
753,530,152,577,587,485,397,287,120,924,895,143,469,168,113,826,538,865,293,
408,139,409,640,209,095,552,134,094,473,316,321,516,460,047,504,595,277,291,
834,853,505,625,395,554,006,099,113,959,474,917,916,103,368,157,488,199,321,
922,475,651,384,264,520,920,752,828,673,967,097,688,139,651,489,183,194,892,
186,969,786,220,475,482,259,921,292,142,310,881,132,851,103,648,128,563,031,
354,391,197,065,881,034,892,901,824,355,191,986,499,861,444,994,320,820,318,
608,741,177,360,212,228,691,931,030,515,787,649,679,441,103,363,669,958,685,
260,409,035,682,826,982,925,137,081,642,119,672,300,019,206,281,956,718,795,
419,614,126,872,866,339,209,268,566,644,545,170,409,976,108,296,811,747,465,
389,837,021,819,495,985,471,779,214,012,012,894,499,994,075,274,883,596,026,
994,217,083,630,430,390,844,118,297,120,141,360,205,855,239,860,325,137,902,
756,881,755,730,502,282,800,393,996,301,859,053,001,206,271,332,377,010,302,
546,480,278,544,140,105,572,316,305,405,331,907,457,369,867,499,203,256,742,
115,067,279,306,026,464,743,963,605,582,374,366,353,253,830,003,655,933,024,
033,111,427,433,029,015,061,077,778,230,547,088,639,105,856,414,725,150,726,
902,128,060,989,677,363,943,180,872,852,509,955,360,359,733,515,213,870,030,
891,526,928,369,538,004,596,971,365,542,675,832,887,404,573,786,911,093,064,
829,645,687,655,008,874,466,853,083,004,600,109,581,388,279,677,298,972,172,
102,004,566,060,986,233,180,660,372,979,521,340,168,591,279,315,731,561,272,
319,025,078,117,120,695,726,370,239,603,818,521,766,912,870,286,539,516,685,
725,460,815,657,861,870,794,305,166,850,441,223,572,733,153,377,543,963,650,
356,398,843,595,169,044,360,659,917,215,502,910,415,934,006,564,728,949,279,
170,577,774,814,815,957,312,856,571,759,311,405,418,643,135,197,516,430,847,
283,014,967,856,396,666,890,664,538,895,127,201,646,883,324,934,825,167,686,
706,612,373,819,257,133,303,183,725,091,905,763,192,642,981,093,271,493,273,
175,148,181,042,142,198,996,446,570,035,205,213,807,918,879,513,486,643,990,
321,559,973,724,488,562,036,900,599,654,381,209,393,472,737,758,367,881,734,
544,941,924,264,448,089,899,552,920,913,867,700,018,858,564,182,922,687,292,
009,127,584,836,095,748,691,074,104,333,506,469,078,646,321,032,731,913,877,
802,931,793,292,261,909,776,994,448,137,390,759,956,818,178,395,770,633,943,
957,562,832,083,418,471,849,058,786,582,063,970,947,506,112,519,956,250,762,
470,615,940,571,649,570,154,689,836,119,316,758,613,122,542,586,812,326,087,
299,403,892,740,717,862,427,733,041,001,987,262,150,897,469,459,977,274,588,
595,001,596,337,420,746,693,881,650,833,190,396,158,638,271,128,102,226,804,
487,951,578,137,788,370,378,002,184,507,459,795,448,150,577,197,125,490,005,
977,763,900,736,297,122,125,278,040,225,937,144,985,495,013,593,829,141,582,
856,411,638,359,810,673,110,441,496,429,598,540,153,468,261,267,880,030,174,
217,129,514,144,335,577,009,142,039,550,170,523,302,076,541,099,606,153,469,
878,505,507,058,839,557,202,754,273,672,511,270,094,552,369,598,540,309,769,
577,963,825,867,879,034,320,391,784,762,773,994,603,937,368,976,145,151,821,
003,475,356,472,724,478,317,201,766,936,143,013,991,846,958,602,327,506,229,
804,116,911,308,287,250,123,189,711,602,489,983,038,447,481,421,206,311,267,
862,854,172,589,777,647,996,186,214,059,984,093,866,363,744,281,124,205,194,
767,642,236,743,274,410,402,487,003,448,016,658,281,663,965,504,489,130,006,
995,333,078,072,201,733,353,931,181,196,510,770,235,385,148,726,428,497,098,
612,447,085,135,995,303,477,638,734,547,324,801,803,673,707,573,561,571,990,
189,193,124,063,306,528,181,254,702,821,331,795,047,398,784,387,601,503,843,
277,256,187,390,604,432,745,411,476,344,606,163,451,293,123,292,921,248,187,
323,192,636,273,947,189,626,902,086,967,005,652,467,811,150,829,828,565,769,
634,766,281,082,211,899,646,537,413,279,754,569,137,464,502,120,055,226,637,
882,413,056,520,565,236,351,344,359,434,308,944,478,723,559,670,860,844,031,
134,880,216,716,849,378,000,658,582,860,168,336,808,030,794,724,995,044,260,
942,173,332,998,583,189,598,070,516,159,732,667,923,721,378,608,734,543,657,
681,311,870,534,388,083,419,509,729,208,988,128,751,563,803,668,337,744,799,
473,399,239,777,431,677,859,743,124,950,249,114,035,298,411,979,340,828,883,
610,326,999,717,411,290,369,258,886,429,925,114,727,323,057,997,749,188,036,
545,136,351,450,968,741,468,253,221,651,616,920,854,970,519,783,960,832,295,
118,060,908,033,867,587,179,624,623,228,301,260,548,977,828,803,215,493,229,
091,072,292,636,234,322,153,779,306,809,012,722,758,876,359,484,868,541,580,
096,842,561,502,298,916,827,727,355,636,475,382,080,184,877,291,077,444,748,
763,515,941,150,828,614,945,444,294,489,804,139,967,011,503,474,827,272,659,
669,621,183,819,341,876,128,750,152,392,927,717,538,906,787,286,951,173,198,
748,257,525,402,413,062,906,581,878,719,949,004,215,327,144,995,898,006,052,
373,562,323,421,024,964,732,498,313,293,171,248,776,862,789,587,231,239,193,
364,905,613,641,838,815,591,669,040,396,380,058,588,109,167,951,445,602,836,
494,955,372,951,267,890,843,761,999,528,382,800,676,180,282,858,886,272,903,
717,085,459,534,352,345,167,504,627,468,541,065,220,698,617,055,979,759,639,
800,531,185,352,708,188,626,169,524,489,420,129,603,822,774,624,786,071,782,
786,106,092,094,457,216,944,350,287,366,261,196,152,444,108,285,797,694,828,
099,523,207,635,133,708,968,425,031,428,305,644,411,209,502,654,423,363,865,
433,872,785,611,469,612,982,532,462,752,641,305,977,267,748,195,649,744,603,
888,624,306,983,373,107,305,373,729,573,074,124,605,794,634,940,199,233,155,
623,030,351,338,932,965,831,726,791,460,365,080,674,352,207,724,640,301,888,
459,674,864,738,912,255,866,229,659,921,887,767,065,211,142,341,773,465,503,
628,410,214,718,298,144,237,199,614,289,897,750,122,885,944,421,013,048,762,
692,603,786,775,216,891,585,951,064,372,594,275,989,244,124,906,257,418,890,
448,646,129,910,139,449,160,034,680,422,684,227,825,915,672,415,491,202,221,
247,189,162,251,585,345,101,522,015,819,317,429,797,842,434,368,403,056,069,
310,416,924,822,831,480,287,024,351,976,966,381,140,160,310,564,121,872,354,
754,986,730,758,842,345,988,191,862,767,142,845,082,120,874,639,864,779,967,
287,010,025,122,598,155,960,930,508,641,958,048,101,477,628,119,989,300,930,
849,308,812,978,545,897,088,581,490,778,023,842,301,236,509,792,481,463,037,
735,115,830,988,659,175,699,653,093,551,022,524,684,410,433,232,354,610,966,
768,264,616,600,431,151,963,243,331,503,975,126,468,900,891,257,806,201,934,
921,423,434,287,482,158,485,096,227,866,795,417,710,616,427,871,186,290,161,
994,749,264,646,423,625,054,756,039,200,053,030,122,095,475,978,532,641,093,
408,537,793,249,359,260,320,954,925,607,830,307,778,039,620,769,596,410,653,
845,756,606,651,442,636,352,120,527,211,602,371,093,895,865,030,558,966,440,
623,582,254,791,175,010,165,907,749,585,684,841,804,216,584,753,125,801,368,
549,204,719,340,257,619,107,069,620,342,238,291,873,474,115,393,578,829,148,
676,702,130,725,852,985,002,552,725,330,738,821,095,003,359,156,916,252,634,
580,865,482,521,181,303,955,708,572,946,305,348,258,413,260,702,039,768,277,
349,827,893,888,361,323,803,870,737,684,491,042,550,515,286,782,865,254,923,
218,092,067,131,497,387,887,685,884,163,943,661,690,972,681,170,282,012,361,
673,220,247,110,206,028,152,040,275,512,069,106,956,524,858,320,967,322,652,
541,347,704,036,206,392,063,830,425,277,045,773,736,470,983,387,390,246,085,
678,051,220,886,381,105,525,330,242,191,807,854,731,065,010,462,513,349,162,
916,342,975,841,957,343,959,559,536,126,113,550,603,821,864,518,229,518,198,
558,154,858,547,960,974,786,098,931,574,143,273,877,276,191,809,471,158,628,
887,101,505,783,112,374,940,771,084,725,941,391,741,647,929,294,043,050,141,
914,204,243,046,199,279,132,602,394,721,758,266,435,564,901,607,564,677,139,
391,617,409,081,207,360,706,301,880,321,356,077,104,242,610,981,199,728,152,
815,370,863,075,323,974,636,245,707,893,733,363,362,978,884,933,665,158,924,
984,427,737,022,800,877,502,821,398,173,812,491,958,675,779,783,256,108,230,
441,694,455,964,066,074,061,656,464,828,043,112,303,159,490,449,525,157,816,
422,113,368,612,770,163,522,955,740,287,692,490,291,760,565,098,884,447,108,
745,968,335,170,024,129,255,254,530,001,756,890,511,703,714,181,713,054,142,
919,444,482,413,168,496,775,095,657,350,984,498,350,134,995,050,092,267,203,
535,630,192,542,911,646,456,052,564,856,086,424,002,959,786,307,010,792,814,
676,007,928,711,883,811,861,755,033,077,797,746,902,635,540,343,402,610,310,
712,807,949,206,431,696,141,856,856,340,237,588,431,795,028,180,094,540,803,
010,525,544,592,123,932,086,252,360,144,031,618,667,369,272,929,981,906,329,
520,037,846,078,739,069,461,430,350,805,786,420,389,526,900,605,158,251,647,
183,508,345,742,629,547,287,635,754,506,538,619,017,749,392,609,364,380,788,
784,743,681,485,737,418,150,264,788,164,310,600,812,300,233,001,939,765,887,
488,855,205,336,444,798,196,098,084,544,563,428,841,748,270,826,211,457,775,
607,158,077,404,789,908,879,676,842,955,521,692,224,230,866,868,103,005,141,
200,091,254,293,239,167,235,036,493,510,681,481,598,600,412,693,103,569,536,
191,894,895,544,351,842,052,280,218,246,994,419,437,315,499,291,902,000,698,
175,865,373,342,966,463,146,666,406,593,685,093,907,278,788,263,287,686,397,
436,358,087,366,846,765,328,308,201,209,690,759,411,107,243,700,839,831,599,
161,018,315,065,693,872,996,336,160,894,518,918,658,428,379,456,613,700,637,
848,680,785,304,276,992,471,750,515,069,658,988,849,714,503,799,055,917,437,
214,059,385,515,293,330,794,452,306,137,156,346,660,187,621,102,374,474,400,
824,643,219,164,158,618,206,145,908,017,959,523,488,483,743,983,496,844,474,
099,941,500,025,949,856,451,408,567,601,143,254,897,099,816,068,653,486,836,
930,749,881,641,785,661,927,757,093,463,249,265,759,436,903,480,117,071,948,
300,351,173,088,123,777,479,605,980,270,638,657,990,211,587,810,686,791,916,
739,195,737,617,106,214,060,479,184,807,515,380,964,354,766,833,283,627,811,
238,466,815,903,775,894,205,924,772,711,379,591,816,969,490,932,267,485,604,
681,026,580,702,523,154,098,908,795,874,604,077,631,076,763,496,710,402,959,
525,203,707,521,944,674,373,401,262,796,153,490,921,926,591,203,311,103,643,
240,728,670,887,422,864,204,472,864,525,333,596,260,499,290,028,153,390,045,
749,154,804,952,011,773,999,540,671,877,561,123,801,049,181,223,284,583,951,
991,508,495,582,125,996,068,403,160,578,486,933,961,545,398,159,643,547,901,
115,417,391,655,839,842,589,111,715,241,871,940,415,118,148,334,283,715,686,
368,126,873,742,972,021,021,063,537,660,461,211,703,454,879,751,798,824,566,
320,621,797,513,234,733,347,136,057,425,255,836,596,229,439,879,916,642,951,
989,615,410,589,477,137,938,044,072,188,752,104,206,308,395,975,973,948,638,
688,153,879,977,491,846,678,011,485,835,804,049,602,568,136,638,801,889,803,
552,501,778,172,624,632,596,449,925,261,760,417,167,272,307,942,356,965,249,
835,392,825,253,437,609,519,889,252,949,481,938,201,899,106,402,873,910,478,
590,259,863,069,478,845,659,634,751,314,324,758,724,428,642,405,395,754,718,
885,844,821,677,161,251,821,200,555,660,395,739,230,271,284,275,245,834,083,
138,175,442,678,247,371,799,349,500,838,834,725,829,489,663,908,887,341,130,
004,908,553,029,967,088,511,374,249,742,727,526,456,620,950,740,026,952,485,
626,472,193,284,148,849,530,483,348,669,496,689,257,552,692,731,532,715,153,
390,491,781,140,635,612,068,413,025,180,727,484,193,393,181,167,260,364,511,
256,281,714,503,069,640,295,454,443,021,919,067,528,738,152,099,905,187,548,
878,350,430,379,123,913,012,856,798,741,325,022,583,760,238,607,222,831,885,
824,897,745,621,566,755,059,340,166,537,017,730,669,693,595,232,507,554,502,
757,445,788,029,899,225,059,003,712,952,804,690,277,603,007,463,126,415,808,
349,001,576,528,952,037,717,789,994,468,319,517,873,608,297,035,703,557,133,
278,944,461,626,063,544,607,596,668,586,396,539,894,962,041,908,967,840,887,
019,458,231,640,813,310,819,765,408,385,214,641,503,675,289,667,888,495,991,
873,999,202,312,422,114,319,614,944,215,944,471,995,746,196,107,068,052,030,
802,952,282,707,559,754,279,872,701,617,707,993,917,912,992,342,471,967,365,
244,712,290,171,416,129,167,160,665,030,864,493,957,534,897,093,871,382,271,
905,086,302,941,121,528,988,547,252,033,497,777,987,937,795,340,900,742,159,
794,611,544,203,752,094,478,064,576,528,273,682,164,706,702,334,647,522,875,
731,137,979,775,655,002,535,141,030,930,332,685,046,982,319,459,519,913,731,
505,967,847,688,531,692,879,238,565,446,839,731,949,226,546,214,984,792,383,
061,694,546,362,518,516,291,868,305,413,550,910,096,853,592,375,917,474,389,
788,619,885,431,619,940,816,900,125,806,200,131,282,270,403,315,948,180,241,
706,733,005,647,431,002,927,942,529,980,661,635,308,437,581,375,415,548,934,
048,606,287,093,423,528,070,806,555,337,002,475,601,537,600,642,353,182,269,
386,282,946,706,348,064,158,730,899,364,052,960,805,062,430,196,599,262,750,
697,429,528,548,255,180,150,438,910,694,185,876,885,612,102,173,132,306,395,
132,314,134,536,343,257,157,778,587,040,630,499,725,758,358,246,484,575,545,
597,908,666,042,242,883,692,074,366,151,476,338,588,520,964,788,486,224,249,
333,568,837,558,467,876,143,578,777,122,030,426,318,983,077,902,533,682,693,
283,507,498,564,858,539,913,350,539,837,402,486,583,193,445,460,867,373,915,
189,666,647,226,517,262,331,762,131,108,713,049,091,898,050,904,652,778,826,
988,082,981,005,449,591,237,066,902,108,737,450,510,820,092,913,474,935,766,
886,227,631,939,015,732,671,706,524,564,013,504,094,007,821,840,036,153,777,
201,337,954,025,677,426,465,627,700,593,013,721,521,816,806,179,739,093,056,
715,640,877,443,056,379,875,962,839,527,032,908,569,424,880,047,230,436,471,
216,180,363,579,005,035,133,688,293,466,215,429,210,075,245,500,006,505,835,
558,772,851,578,241,817,699,981,436,753,054,468,333,829,775,083,081,437,447,
646,179,045,295,900,968,233,178,734,269,018,705,800,682,511,507,310,407,174,
907,411,311,084,404,083,416,613,523,499,318,755,213,267,094,736,055,807,191,
343,959,339,049,207,711,044,287,718,520,474,972,119,632,781,546,799,230,339,
787,218,841,657,577,667,333,959,235,778,623,773,001,660,734,301,420,812,815,
515,243,060,204,567,832,707,395,948,593,353,360,460,605,947,587,413,754,019,
778,526,203,647,826,877,233,580,430,286,101,225,493,855,450,777,229,328,586,
923,354,694,318,741,774,240,288,247,661,235,825,656,123,265,366,352,456,876,
436,315,647,157,177,123,939,381,356,340,676,007,794,983,933,661,833,641,836,
156,279,526,217,146,297,574,862,856,852,901,156,701,407,001,213,482,870,176,
129,762,363,917,792,096,924,962,898,816,445,423,938,377,799,499,434,193,324,
407,332,648,519,568,470,205,082,442,825,822,296,711,955,380,562,334,665,888,
388,390,211,040,813,017,822,109,021,977,213,981,788,813,737,832,090,414,814,
011,989,268,621,032,529,941,382,442,627,168,761,048,142,193,918,097,076,285,
950,685,420,614,991,840,366,521,421,157,380,226,741,268,791,965,381,497,280,
490,920,489,996,854,020,563,066,993,731,190,607,903,537,123,125,100,274,782,
806,349,281,059,821,351,828,786,581,204,478,655,175,540,652,934,397,761,725,
333,567,323,996,953,453,209,543,531,551,044,308,864,378,085,227,540,004,972,
179,571,217,868,249,808,163,086,972,851,673,759,248,411,425,143,083,945,530,
165,574,685,316,893,864,872,074,336,782,126,051,302,642,648,614,171,638,241,
945,322,843,327,278,070,318,416,006,606,727,568,877,651,301,606,818,678,670,
237,106,296,597,191,745,961,677,532,318,295,826,960,780,770,778,889,901,320,
838,222,511,786,098,612,625,374,097,669,923,211,035,951,327,092,590,228,721,
506,182,417,978,000,892,735,866,420,782,054,519,664,506,453,900,221,604,134,
367,076,607,928,985,587,653,135,629,194,909,770,055,236,917,507,146,860,258,
756,976,271,220,575,306,254,699,320,195,802,695,606,184,721,948,229,945,857,
226,124,971,268,740,288,215,995,286,141,686,508,956,052,461,137,254,175,236,
869,793,736,173,248,798,703,011,402,070,647,447,520,953,126,383,692,865,327,
596,987,021,932,084,636,406,179,285,376,777,180,129,984,984,520,734,291,314,
044,334,504,180,760,800,420,347,078,386,579,739,666,829,867,648,433,826,956,
418,370,010,050,060,993,304,237,118,479,228,584,231,448,141,133,564,040,167,
200,473,147,468,686,504,580,929,821,807,931,379,609,832,882,181,576,315,528,
494,335,656,463,456,749,677,339,367,434,086,185,404,470,283,393,393,594,683,
478,609,068,722,981,936,631,758,624,054,268,026,053,357,865,833,540,554,485,
600,948,265,514,144,618,685,164,380,293,211,725,276,742,812,206,458,184,371,
173,869,711,524,760,317,735,343,509,631,421,382,810,483,077,374,020,729,343,
037,924,894,854,542,210,197,014,271,858,904,454,751,381,275,089,129,945,103,
739,942,127,277,887,300,468,897,420,482,447,272,346,217,989,903,784,925,545,
643,780,182,714,225,921,040,814,825,379,422,864,903,984,203,326,537,405,165,
581,251,422,663,808,190,891,197,857,511,422,620,679,227,874,016,236,948,637,
000,359,358,526,409,405,571,920,512,096,893,499,719,879,504,952,435,167,256,
421,383,482,224,054,887,935,219,359,302,290,384,275,229,283,714,493,124,990,
325,484,588,004,218,873,194,925,748,332,795,494,952,715,643,804,100,342,460,
826,710,239,078,531,796,220,694,589,366,251,498,178,578,922,848,568,691,672,
936,715,106,109,133,638,007,813,472,735,609,854,257,792,175,361,108,065,807,
586,189,835,478,755,068,648,391,993,621,632,419,099,800,020,911,692,670,131,
396,968,784,343,427,296,423,584,329,530,800,041,176,868,699,063,999,610,051,
410,264,320,950,537,366,116,146,385,345,337,702,389,522,756,741,541,406,050,
568,560,182,427,311,613,082,072,853,011,227,085,632,272,436,683,381,829,044,
753,480,844,520,487,037,343,146,911,682,822,827,031,715,960,751,823,188,642,
869,325,747,086,307,632,964,915,816,179,257,247,271,288,040,017,802,354,060,
396,612,388,486,727,816,599,249,470,070,857,529,283,282,266,585,847,678,014,
535,799,450,074,425,107,599,237,941,274,695,948,930,181,171,676,540,250,114,
707,011,479,587,394,348,508,034,432,664,338,090,834,973,689,122,315,631,713,
404,585,602,918,938,999,932,233,867,047,114,692,480,402,129,102,456,894,802,
008,063,769,390,098,706,031,408,622,022,066,383,467,703,431,324,493,846,882,
643,925,794,375,888,529,376,761,422,676,909,438,598,467,483,168,320,290,512,
282,397,628,720,327,007,042,668,083,956,268,792,851,635,906,036,940,101,359,
436,280,244,990,083,883,580,481,513,891,352,019,160,998,332,527,408,787,201,
926,965,374,914,151,366,259,412,206,132,594,476,514,495,836,725,441,348,601,
102,124,603,766,888,914,475,211,308,349,504,497,443,217,619,605,768,520,518,
951,030,592,715,810,881,796,360,669,540,484,429,856,367,943,739,933,922,004,
065,018,644,822,553,889,699,683,651,461,890,613,546,325,051,253,873,627,753,
622,191,576,787,615,438,309,040,571,863,362,036,286,107,692,004,075,284,891,
787,938,626,951,959,544,063,497,559,611,560,046,259,902,433,295,731,574,233,
809,174,855,558,675,995,423,860,157,914,077,019,259,137,682,129,832,864,670,
983,599,557,060,109,554,063,105,402,439,508,870,745,483,782,704,140,147,196,
950,194,734,489,424,660,407,241,884,200,079,803,606,435,211,238,017,971,825,
466,609,953,387,274,088,975,618,054,581,977,225,431,644,847,718,050,469,760,
893,739,360,602,091,235,393,193,587,051,034,624,594,961,950,453,111,545,331,
281,897,240,628,689,102,303,444,914,631,188,318,470,436,620,702,712,148,981,
051,636,529,701,098,320,679,840,352,910,602,751,775,881,138,083,397,209,231,
820,636,329,358,036,685,118,973,267,776,529,322,948,054,104,896,170,540,073,
020,588,371,711,123,990,131,952,309,999,466,381,328,539,095,658,412,259,214,
781,218,669,996,767,810,080,525,413,987,515,790,649,626,140,934,560,222,266,
334,462,930,966,290,185,877,252,932,624,667,390,326,133,663,221,244,252,599,
016,510,142,388,550,133,166,744,312,348,526,521,969,753,279,000,976,725,604,
482,798,342,253,983,883,796,522,807,919,545,057,540,725,373,796,727,172,725,
218,979,537,883,176,891,771,984,716,189,540,767,379,626,058,574,480,231,769,
019,875,793,973,100,477,526,002,545,466,012,608,639,508,999,450,608,955,178,
315,585,079,921,163,804,235,952,016,523,594,071,431,769,177,114,488,012,361,
736,871,235,564,279,521,256,778,065,526,863,690,810,207,447,584,755,757,091,
264,022,279,870,361,110,932,703,873,456,167,079,738,719,016,805,104,796,927,
130,902,669,343,592,545,863,427,918,017,956,966,731,652,213,179,660,757,225,
624,623,732,395,152,349,757,133,710,103,427,358,051,018,269,604,888,096,894,
620,465,825,737,127,588,017,442,635,707,745,933,944,939,657,013,625,183,209,
961,265,394,896,687,499,474,825,764,826,262,790,589,011,935,306,890,539,635,
926,651,479,118,737,332,469,163,113,645,660,084,459,612,061,001,989,223,830,
075,790,040,384,825,500,418,804,905,750,369,567,861,735,084,240,986,168,355,
261,465,514,032,121,664,357,338,337,131,777,712,838,145,494,857,929,439,515,
703,716,251,617,488,473,720,667,078,805,400,634,444,223,534,341,205,256,858,
114,287,644,748,557,522,530,358,700,858,860,403,594,986,480,327,267,177,735,
642,316,397,983,415,670,575,063,454,247,615,955,195,482,743,398,861,670,228,
636,830,241,510,349,312,260,165,114,413,479,457,248,374,641,379,148,901,445,
744,974,793,883,117,455,973,433,159,108,209,815,579,555,372,204,229,092,794,
287,485,289,442,753,557,703,147,043,920,580,091,589,569,043,742,504,730,753,
236,186,393,483,736,284,814,510,736,528,763,805,162,861,894,084,391,524,716,
432,634,542,917,455,840,933,787,058,546,547,592,788,477,475,148,542,265,437,
758,527,129,285,236,240,108,640,287,476,498,069,393,934,426,069,842,962,073,
730,778,893,218,528,570,601,741,917,846,890,874,578,527,077,683,310,114,302,
065,082,780,032,870,622,646,017,084,658,129,784,673,230,792,673,351,627,086,
343,386,999,095,988,734,102,221,065,153,010,263,672,112,460,705,943,976,160,
110,562,830,043,254,144,429,549,686,676,388,467,939,290,197,710,778,676,028,
229,822,593,971,065,968,095,649,263,624,345,053,488,038,121,799,252,845,274,
983,590,927,620,760,121,889,240,564,458,613,272,561,195,895,840,594,181,063,
583,017,481,391,924,329,311,174,615,576,600,509,324,350,388,587,455,857,430,
580,863,486,170,422,736,306,201,635,301,405,641,491,952,986,665,218,955,157,
622,372,644,863,980,989,729,343,110,065,426,976,338,229,827,348,437,116,639,
139,020,371,903,828,918,756,256,360,731,120,255,717,929,953,454,464,799,979,
783,916,455,355,770,434,829,354,211,806,911,021,157,448,438,126,009,441,988,
491,171,865,191,360,485,755,346,294,438,686,216,527,102,618,798,952,129,061,
785,574,017,152,582,383,919,568,901,635,391,944,676,424,569,893,078,671,264,
534,763,744,596,407,656,844,716,253,490,192,240,148,842,986,490,853,976,936,
775,851,739,721,878,789,852,215,977,709,240,418,768,074,829,677,840,500,907,
617,421,066,858,998,998,206,844,814,013,420,353,400,829,605,094,306,761,507,
592,282,266,307,244,593,424,740,393,603,943,825,639,140,399,700,984,142,130,
811,256,204,634,315,024,152,857,918,825,860,975,217,256,601,718,112,046,783,
776,363,160,310,788,067,444,118,135,191,172,435,147,296,651,249,001,597,887,
674,291,329,528,513,524,687,004,672,563,355,644,104,941,792,038,754,588,970,
414,095,913,954,732,357,556,145,219,004,739,071,688,961,782,455,042,949,934,
091,789,416,705,525,993,667,269,260,946,897,895,256,800,826,052,354,093,559,
480,083,730,254,226,702,191,042,118,935,588,132,005,835,047,362,188,825,121,
806,037,974,240,737,938,790,839,441,515,311,693,207,646,792,022,379,409,463,
820,703,107,073,494,666,044,006,736,221,887,897,964,448,099,962,887,968,472,
754,667,406,951,048,297,202,756,026,597,879,678,914,149,915,046,316,544,113,
609,644,458,960,513,805,827,447,906,384,202,076,081,093,710,950,268,679,383,
863,224,161,562,831,915,012,113,973,128,786,743,923,842,337,736,821,886,368,
893,439,071,325,517,521,443,807,617,545,063,211,230,137,238,047,142,388,838,
846,804,880,575,869,533,560,195,054,477,418,578,222,730,527,036,951,849,884,
509,122,943,323,744,246,804,675,505,037,709,420,333,482,562,979,330,468,403,
268,161,523,453,181,044,277,481,410,070,178,529,963,890,472,467,871,434,420,
432,553,977,152,752,275,953,668,486,207,952,202,714,757,224,103,417,325,640,
801,168,335,232,246,429,873,545,215,757,114,564,366,762,346,683,030,183,692,
014,399,336,459,394,620,106,804,375,007,926,970,880,305,077,461,186,536,466,
784,857,489,035,619,864,977,023,135,681,533,481,629,212,252,333,966,554,948,
477,100,561,678,344,157,727,637,719,198,769,214,418,947,337,553,211,087,538,
316,202,507,628,760,389,550,063,988,048,349,533,600,411,844,460,859,949,060,
501,253,086,191,171,054,376,525,473,557,744,656,132,341,658,900,557,331,540,
421,891,557,101,057,100,374,925,553,211,110,478,370,424,385,670,421,748,657,
130,319,522,377,138,652,977,473,352,002,493,041,297,919,590,758,566,893,075,
317,111,548,572,961,400,907,428,200,020,537,537,635,902,248,132,559,728,259,
025,656,080,215,106,101,084,885,685,144,128,913,428,471,011,297,995,031,333,
861,162,639,374,773,902,533,011,135,434,679,467,759,049,568,000,920,543,980,
815,639,786,729,257,124,747,747,359,553,111,069,134,277,907,910,620,105,248,
070,363,737,518,679,848,532,933,944,627,642,692,433,701,789,969,374,418,000,
351,177,318,820,534,973,467,309,393,187,866,566,213,746,426,429,159,068,417,
124,371,026,949,973,117,271,901,234,144,237,449,242,967,685,573,360,939,985,
942,174,307,411,170,506,171,413,713,235,305,121,703,513,341,219,629,698,354,
913,002,057,571,789,333,126,703,488,818,118,439,102,212,509,261,905,434,574,
047,091,637,277,383,937,855,803,883,619,027,932,889,841,995,647,661,039,785,
505,656,308,256,924,377,580,275,437,184,075,568,573,448,533,354,512,225,406,
638,573,506,503,461,786,985,506,164,309,827,087,919,635,513,092,294,804,153,
695,350,677,621,210,180,049,807,319,930,896,338,218,666,514,341,438,172,135,
486,157,650,327,660,907,922,554,954,804,274,634,891,298,452,754,829,398,323,
562,332,378,926,697,884,649,711,750,641,112,560,781,738,895,614,637,041,295,
471,565,754,458,588,294,897,935,939,186,623,027,674,449,202,365,536,395,795,
351,066,811,516,039,378,852,737,677,122,274,827,315,725,213,233,504,587,868,
041,770,461,973,781,300,498,731,965,157,801,780,087,582,538,186,647,288,919,
196,168,451,644,468,415,612,776,969,961,868,624,317,155,239,368,116,043,334,
864,504,897,861,702,062,380,770,514,046,218,773,404,982,406,620,528,733,044,
062,691,961,534,161,981,880,418,932,843,582,618,679,718,434,134,254,396,249,
629,747,780,107,419,671,971,688,285,572,592,633,262,096,783,789,917,618,519,
704,208,344,731,812,727,823,877,389,634,981,773,003,983,811,830,050,353,584,
972,128,885,725,829,872,700,123,326,521,964,624,959,137,203,261,020,352,958,
509,902,159,743,144,477,371,583,574,160,564,543,358,684,582,408,131,575,537,
889,815,886,294,294,728,605,156,836,992,983,697,854,466,377,610,289,131,784,
704,038,275,758,927,644,921,664,193,164,855,988,963,406,245,813,895,846,878,
130,311,548,778,373,222,466,070,846,357,635,427,139,059,984,769,128,362,804,
254,667,366,027,688,431,976,094,272,853,455,149,464,369,234,425,612,216,994,
987,241,411,566,993,150,516,888,908,622,817,641,436,821,472,769,942,474,384,
799,212,143,193,878,199,163,202,769,564,663,457,924,919,469,951,206,220,544,
726,021,149,904,347,165,464,335,270,199,094,074,192,966,852,647,994,666,104,
003,947,609,160,335,885,250,717,448,763,519,728,511,697,971,632,672,178,616,
117,316,688,904,579,090,121,024,706,052,515,041,628,319,717,887,256,555,751,
753,203,383,600,426,676,032,603,151,240,747,027,382,281,223,603,219,375,536,
701,157,400,692,263,037,899,250,237,568,985,676,236,903,339,434,332,524,953,
319,675,644,193,161,705,782,710,995,734,646,884,144,713,692,982,857,349,273,
161,533,705,500,364,407,793,778,759,561,505,034,867,093,030,463,923,112,472,
717,450,104,653,217,106,752,776,735,139,268,701,676,735,677,120,740,804,271,
802,064,297,541,990,691,250,486,469,888,103,915,449,716,219,920,432,323,409,
516,695,939,778,476,159,163,400,933,214,700,705,526,681,821,643,780,818,633,
722,079,061,363,964,344,490,033,618,493,549,688,108,194,888,117,719,742,551,
076,974,141,980,154,883,867,912,677,196,713,496,113,933,724,321,234,327,465,
131,420,904,114,186,490,088,871,149,447,874,244,900,063,645,316,917,290,316,
388,213,869,052,823,454,944,186,267,854,888,417,091,636,982,226,611,864,618,
259,529,689,083,124,954,052,089,828,508,316,036,495,109,317,816,147,620,521,
846,724,055,248,351,595,927,936,128,495,015,551,412,667,050,929,284,919,602,
071,445,248,671,576,638,853,866,905,834,165,046,197,335,531,325,916,118,441,
014,938,040,850,790,559,349,744,630,261,578,304,076,304,618,533,654,194,188,
314,772,012,649,802,100,602,696,497,676,160,001,178,671,116,498,789,738,577,
622,040,571,719,962,972,870,628,906,918,469,601,857,816,607,660,196,261,093,
713,027,297,749,712,682,557,180,581,072,445,003,692,794,792,890,731,514,160,
212,754,222,223,515,236,682,712,805,100,851,362,471,175,032,206,790,549,743,
589,824,501,243,304,845,054,457,399,744,874,035,887,695,730,406,504,490,450,
494,244,336,023,359,676,160,395,409,232,922,062,454,483,342,265,393,760,840,
459,628,971,562,766,868,498,484,120,140,117,885,675,871,898,927,218,046,573,
947,860,692,976,615,684,023,815,767,553,668,956,152,525,019,317,794,507,954,
301,233,563,623,206,090,904,617,789,926,538,510,401,615,299,112,037,883,421,
352,564,681,232,525,829,589,094,854,206,049,758,518,989,185,381,200,154,631,
630,483,605,093,840,008,489,115,111,061,226,733,371,100,024,570,291,547,549,
403,860,543,703,582,024,716,502,296,267,420,384,497,468,198,401,347,473,698,
148,071,225,042,540,115,582,242,378,397,449,354,936,969,515,557,044,647,590,
739,210,273,384,102,568,061,519,597,607,169,433,443,292,347,544,656,136,922,
093,979,286,552,180,983,325,418,802,803,106,480,583,755,034,399,342,020,487,
541,795,276,584,676,649,229,630,447,679,664,015,881,133,589,151,876,685,568,
805,921,272,708,616,468,380,990,328,377,828,799,814,659,810,085,518,157,102,
501,267,785,244,866,040,959,779,662,488,772,129,005,077,243,800,138,544,983,
201,496,778,048,122,363,801,264,251,636,866,899,401,884,188,580,822,277,338,
951,624,249,305,709,638,229,807,383,880,751,697,606,668,624,948,167,814,753,
626,500,121,040,085,338,076,477,888,711,203,846,033,207,562,978,822,158,213,
262,841,071,405,456,944,962,559,784,820,253,135,086,980,736,426,141,602,019,
575,215,496,753,175,623,032,144,399,435,818,818,162,639,568,479,512,282,401,
170,447,766,627,243,969,707,912,858,264,236,071,031,433,970,352,073,729,519,
940,019,416,856,574,499,978,350,354,698,204,507,124,038,547,927,824,086,012,
718,748,732,455,336,407,717,361,697,925,419,777,550,091,110,300,429,564,488,
944,988,066,434,217,066,158,814,240,507,099,782,369,444,256,204,553,560,971,
885,550,186,158,972,516,102,700,682,332,777,406,167,705,435,091,119,095,032,
229,170,990,032,460,231,222,226,709,010,887,426,916,109,678,538,697,413,357,
941,327,773,104,847,927,565,535,860,797,745,238,990,319,028,719,966,104,057,
768,517,939,697,527,053,309,005,505,142,518,655,057,825,287,235,765,823,112,
970,346,527,015,037,047,839,912,488,256,572,139,341,776,323,227,179,484,513,
904,923,554,054,018,921,218,533,555,542,792,272,783,109,116,615,722,545,102,
759,253,181,524,771,998,020,323,523,982,333,430,124,599,331,931,008,213,799,
990,349,517,223,160,569,411,750,354,818,101,836,637,237,508,740,931,929,425,
658,952,836,263,099,010,942,725,080,855,271,690,431,207,368,082,291,934,355,
214,758,753,649,469,571,349,269,556,672,051,056,381,934,227,543,657,471,474,
411,508,031,508,066,007,637,031,471,765,403,187,472,684,785,574,717,456,725,
017,765,347,529,501,293,803,612,104,857,046,469,247,410,501,092,755,531,160,
201,408,414,435,572,205,648,770,479,060,685,045,361,249,431,990,025,801,704,
457,863,740,719,915,945,284,156,829,397,012,735,699,873,766,563,649,346,154,
848,889,594,231,195,388,104,113,956,216,565,143,394,084,658,190,257,336,161,
175,191,026,453,809,347,686,711,150,473,685,593,795,840,404,066,476,267,676,
091,611,257,017,728,703,770,790,627,916,209,926,226,063,826,370,676,759,685,
366,451,730,708,858,907,563,051,785,748,179,895,409,000,172,286,189,520,882,
710,887,017,839,816,850,263,491,058,061,775,577,657,886,630,730,761,844,521,
356,648,057,504,154,585,906,359,393,260,549,470,145,058,284,286,635,858,451,
280,992,258,813,738,183,858,483,662,636,192,897,268,297,412,781,207,496,454,
993,090,760,383,440,815,024,759,684,918,259,805,163,046,314,367,207,473,309,
285,637,996,083,733,178,252,528,299,766,375,982,481,137,014,575,058,041,216,
688,976,827,657,004,246,019,489,346,079,810,990,121,452,938,250,962,408,717,
344,437,156,128,054,559,754,490,462,209,919,619,499,014,512,519,993,795,514,
921,005,203,706,790,282,259,173,261,882,280,486,680,147,822,512,773,438,201,
426,989,030,815,415,502,779,996,165,824,617,924,068,086,895,806,384,970,775,
439,634,718,171,762,185,536,495,959,650,421,364,707,312,304,450,136,697,731,
432,887,857,229,696,893,967,214,486,035,579,943,811,491,024,618,963,304,964,
258,117,995,068,663,199,226,856,610,878,961,105,003,891,751,769,183,022,121,
284,572,570,719,148,846,716,312,931,885,495,930,348,536,591,843,792,856,282,
677,248,158,004,847,551,696,836,124,734,989,554,423,861,604,354,270,985,107,
218,104,744,962,598,848,510,975,154,336,636,797,915,747,358,515,803,064,461,
624,699,300,964,610,441,199,766,124,015,956,485,183,981,165,377,772,244,315,
285,577,512,725,946,395,867,955,708,083,390,920,224,635,605,493,486,380,947,
318,083,434,860,184,895,703,454,264,620,789,684,182,545,580,397,203,868,774,
647,362,778,475,875,773,838,826,786,274,998,197,498,962,439,567,690,188,507,
723,022,390,400,025,238,523,593,303,084,950,865,441,263,107,238,884,135,558,
391,988,965,328,097,452,472,627,311,894,971,552,863,970,145,860,995,023,997,
072,149,659,238,873,976,114,747,659,254,286,640,887,823,043,252,526,266,267,
762,940,791,661,062,126,893,366,217,568,864,932,537,510,498,922,246,610,255,
987,621,701,832,459,484,547,547,378,923,674,201,195,808,785,409,504,638,390,
127,439,396,614,221,216,648,341,573,005,508,802,884,104,386,254,906,757,894,
514,989,618,252,305,513,900,085,397,756,437,622,716,511,326,637,308,447,303,
645,462,028,493,367,863,040,756,447,224,845,679,984,059,952,366,372,737,197,
711,886,862,487,771,442,364,646,233,918,056,548,380,028,061,667,878,895,506,
087,022,650,975,060,251,945,062,933,730,867,376,921,922,602,679,355,196,578,
918,326,047,999,268,146,666,519,996,440,402,973,175,839,323,448,889,829,931,
186,810,573,391,060,266,633,494,006,798,047,765,837,515,703,562,594,439,274,
175,400,576,359,191,821,616,026,048,355,161,328,512,160,622,787,403,352,885,
907,253,285,329,864,548,416,190,864,237,066,895,079,311,532,732,216,682,659,
602,999,864,619,506,014,619,461,968,214,919,993,344,703,086,551,406,696,756,
187,102,295,603,764,173,544,105,539,749,973,098,664,048,664,771,739,463,795,
772,516,128,116,964,725,744,508,021,456,810,433,364,951,426,000,303,298,022,
190,661,658,620,277,617,268,198,602,830,911,016,512,480,790,270,358,427,477,
987,631,000,022,967,612,223,414,702,501,857,844,368,514,607,498,197,842,816,
645,930,115,575,794,195,339,909,914,703,079,810,858,728,760,998,110,957,951,
954,601,117,834,008,747,822,806,681,275,985,378,279,030,288,388,599,044,929,
519,434,736,300,340,883,127,250,208,794,506,599,234,367,423,991,660,988,556,
324,395,609,620,589,989,166,456,410,599,566,075,419,291,659,191,861,521,065,
186,033,450,177,167,712,798,302,298,228,225,556,849,519,575,408,096,524,085,
033,691,097,523,005,598,517,754,090,640,406,023,511,288,365,425,024,192,951,
997,149,695,778,265,443,146,397,591,680,773,793,906,409,698,170,604,424,606,
440,688,357,151,128,503,909,097,986,800,960,333,598,494,184,344,170,865,961,
025,672,009,321,153,737,683,974,270,018,629,115,470,499,031,509,897,898,251,
328,822,365,586,522,825,870,962,994,331,871,817,544,595,402,470,375,031,394,
501,735,315,197,231,479,543,940,400,854,704,271,804,861,051,282,081,556,531,
163,569,312,426,728,231,947,949,484,268,647,235,735,093,135,252,795,448,745,
958,758,536,358,293,869,604,358,178,749,928,137,786,097,345,052,355,890,729,
879,448,861,893,766,017,818,015,998,313,621,286,773,500,273,745,288,716,836,
940,427,593,542,512,295,694,376,522,474,636,201,903,471,891,717,832,650,874,
464,334,986,510,049,238,552,840,607,087,207,964,578,078,147,354,027,723,202,
332,633,611,502,600,237,515,840,428,684,284,332,791,669,822,187,732,147,425,
977,266,210,429,642,084,296,521,585,164,157,979,774,406,245,556,130,246,118,
115,777,352,606,180,391,736,757,177,961,828,423,342,039,697,203,349,296,985,
516,106,166,199,792,495,968,959,064,425,192,172,973,712,075,043,754,620,253,
608,508,851,297,444,787,222,864,548,830,440,128,896,890,531,105,409,537,203,
489,083,122,739,655,209,175,878,852,644,460,742,345,139,479,875,328,468,426,
612,197,019,417,041,121,117,975,072,768,369,002,602,513,964,999,202,601,194,
115,703,087,422,763,597,712,809,133,446,491,254,490,643,776,697,228,587,770,
674,046,199,786,440,280,007,410,898,836,482,647,687,566,498,580,521,791,511,
763,270,391,734,446,264,133,855,443,402,054,932,813,566,400,826,483,776,906,
049,664,516,360,517,252,333,770,601,442,610,249,891,408,177,763,609,531,765,
873,143,025,304,343,012,714,026,115,015,924,917,780,767,179,709,087,247,407,
811,037,530,349,767,408,166,609,211,801,919,425,083,411,810,859,713,688,172,
431,452,336,866,658,090,997,440,525,382,239,779,968,008,849,122,266,899,463,
108,254,349,212,002,594,568,078,044,013,748,084,445,756,232,849,762,175,138,
217,994,248,595,095,749,366,120,468,525,114,584,368,323,734,095,638,727,094,
701,521,886,348,962,286,668,053,140,218,357,395,919,087,610,050,450,863,506,
446,806,271,329,243,786,568,170,370,994,392,027,545,200,349,530,121,461,438,
771,686,215,228,307,943,555,655,774,704,983,307,208,092,298,910,178,136,364,
016,822,432,416,550,848,988,404,287,190,939,737,813,694,916,074,669,726,696,
039,846,880,140,957,165,770,703,540,058,731,217,971,853,461,983,921,425,207,
566,343,802,601,214,904,872,281,329,262,062,183,746,927,446,273,956,364,203,
143,132,664,754,994,323,473,689,566,399,044,252,258,246,077,900,564,718,209,
291,128,680,116,456,853,040,220,399,218,448,157,167,472,542,847,803,303,247,
431,705,572,524,054,417,313,960,859,927,179,695,700,189,854,022,967,020,116,
678,794,582,165,279,766,273,257,024,369,363,901,396,648,001,852,871,869,420,
916,981,490,185,860,861,416,821,266,168,380,123,577,143,314,804,390,376,949,
396,598,201,725,387,809,128,175,255,409,558,354,505,017,308,100,625,905,365,
292,662,653,978,678,304,455,498,121,729,226,478,341,905,936,137,428,883,910,
038,703,346,352,596,365,376,981,489,732,951,385,918,673,134,249,416,663,442,
849,759,319,246,101,334,096,344,052,932,793,800,652,810,784,760,765,734,480,
548,823,823,173,578,151,281,460,888,108,155,050,157,436,910,881,477,429,398,
157,225,392,796,386,583,081,366,540,953,285,234,955,674,273,622,028,725,698,
102,265,375,425,925,541,850,998,550,898,594,372,777,860,296,275,226,652,960,
137,388,720,290,546,514,207,567,607,625,289,610,643,078,825,739,626,915,866,
647,419,686,510,553,746,950,955,645,004,696,289,843,230,047,510,217,519,645,
112,302,658,320,659,164,370,803,301,775,562,224,006,319,149,552,976,460,083,
402,082,780,175,387,476,793,108,824,494,277,330,352,476,496,706,579,921,400,
885,105,825,946,991,384,233,255,268,340,662,110,103,620,763,185,288,598,871,
413,451,855,362,839,450,816,979,143,998,889,948,623,126,113,411,858,709,256,
819,514,900,473,884,086,645,466,388,874,754,935,714,555,507,588,709,554,356,
867,359,903,256,707,882,297,199,315,975,052,818,336,312,376,821,836,922,977,
279,349,545,101,861,823,307,559,925,807,221,691,145,210,477,040,123,068,389,
818,661,680,699,310,913,738,483,538,010,818,991,894,312,340,442,440,558,968,
847,996,619,352,952,773,121,097,536,195,058,551,565,089,816,088,966,357,036,
034,089,675,286,060,689,361,164,852,472,452,091,281,351,437,500,918,402,062,
300,732,034,562,095,287,490,936,135,034,628,456,956,129,437,104,219,385,612,
687,333,545,309,818,899,622,384,462,796,124,568,030,454,043,273,137,380,223,
667,209,184,472,471,458,493,799,617,899,925,069,249,471,528,643,110,050,879,
093,561,496,021,437,157,495,238,005,899,884,335,413,434,989,084,309,741,656,
268,180,459,731,195,832,799,614,703,921,915,173,359,776,951,809,381,560,561,
917,702,450,754,492,612,860,515,828,374,406,222,448,737,741,034,789,290,245,
887,187,720,712,748,795,337,303,852,154,461,341,131,416,449,716,052,031,899,
022,934,100,134,961,113,792,783,254,310,420,896,225,076,725,719,038,089,546,
736,399,602,850,972,488,327,585,516,360,780,418,923,083,965,804,964,366,928,
556,079,794,583,674,567,809,162,670,785,431,188,242,144,431,826,501,425,556,
360,873,442,518,049,135,685,500,811,707,953,546,452,428,404,768,425,973,688,
834,486,777,138,337,975,428,472,874,496,553,232,811,865,431,315,336,834,886,
637,711,259,147,700,501,526,366,175,343,751,207,862,620,395,460,964,525,193,
421,528,485,975,095,935,455,978,815,311,104,510,331,851,114,923,453,404,524,
693,706,136,231,264,445,907,971,115,047,294,793,879,884,254,154,380,905,076,
602,821,997,632,985,852,054,237,653,359,119,244,892,431,489,382,040,287,560,
886,000,629,844,481,401,316,967,648,022,511,938,075,774,482,873,834,829,993,
956,341,831,068,955,815,784,898,638,573,623,947,957,848,358,553,129,601,701,
806,291,232,999,405,759,547,697,646,664,210,967,894,562,797,060,123,678,143,
904,716,518,389,833,441,356,123,877,249,131,510,837,589,279,571,056,277,109,
368,978,613,719,777,075,341,794,466,323,713,246,677,479,877,375,161,486,229,
412,522,064,778,248,134,575,444,840,681,242,537,978,550,095,853,495,849,072,
488,408,620,415,207,245,479,666,232,770,666,980,246,640,207,181,608,248,522,
694,571,514,599,725,899,648,732,916,343,014,498,790,270,422,856,884,666,103,
807,499,401,120,909,248,878,208,239,756,749,360,012,794,181,350,935,328,792,
978,016,562,012,547,964,372,830,226,605,712,860,698,866,976,887,313,614,828,
172,044,066,175,498,072,024,849,963,112,964,262,752,177,177,144,781,360,352,
033,150,930,863,783,896,545,581,476,762,327,226,221,521,634,648,138,343,452,
910,390,921,156,097,509,588,221,014,361,435,803,562,475,199,892,607,082,010,
342,012,693,913,821,437,600,693,633,857,476,437,033,042,892,328,528,440,580,
527,954,556,145,237,337,443,667,022,714,636,389,594,256,819,128,827,632,039,
961,425,870,338,622,494,142,804,611,236,786,835,697,301,388,055,498,731,068,
741,384,611,459,896,058,689,779,043,845,346,642,254,033,680,759,496,086,113,
568,930,225,000,141,450,908,985,260,673,385,459,013,909,017,787,108,427,921,
772,620,229,887,483,413,172,209,197,995,755,528,155,268,628,618,823,864,942,
664,080,092,524,959,990,889,643,516,430,527,957,781,173,153,594,487,987,961,
208,990,282,401,455,345,297,017,762,375,274,091,136,096,198,695,872,469,910,
841,908,506,414,960,847,984,958,088,846,655,010,991,742,814,267,965,177,663,
974,186,176,046,186,524,306,914,512,840,544,448,804,720,057,258,800,266,919,
505,491,883,476,188,584,795,755,181,716,493,998,775,592,993,738,327,089,125,
425,854,717,780,726,437,285,721,395,363,717,863,359,402,969,249,868,739,585,
845,458,784,114,250,633,622,432,550,417,673,677,383,642,218,204,159,981,639,
394,472,993,182,758,725,308,205,992,626,630,098,956,523,715,087,589,307,789,
853,928,974,703,733,548,235,542,844,445,585,386,060,908,609,539,996,781,137,
160,834,693,020,247,154,805,585,898,943,021,476,445,046,195,128,361,824,329,
898,915,514,146,062,693,810,259,269,885,587,090,528,212,251,577,162,705,787,
883,547,296,240,871,973,540,833,624,538,964,374,073,108,532,023,290,068,185,
949,994,281,584,428,528,084,111,780,564,154,069,715,982,747,428,551,594,788,
122,882,026,084,473,649,900,436,587,123,774,388,734,548,565,501,894,457,904,
939,674,597,623,476,050,432,549,259,720,830,186,375,172,865,980,902,547,441,
788,972,792,356,873,260,770,471,322,643,093,819,424,184,035,959,757,532,673,
936,432,693,308,241,024,234,812,782,686,626,052,840,667,433,009,591,267,596,
740,800,487,255,322,719,380,814,010,666,915,853,933,450,588,699,550,544,019,
358,263,584,750,603,696,213,216,229,928,879,913,656,298,979,236,983,138,886,
074,961,967,398,991,335,566,406,251,850,079,476,884,588,739,712,116,402,578,
769,022,232,314,850,152,317,669,153,787,215,584,535,178,959,410,302,748,062,
051,980,362,296,212,498,216,907,437,980,954,880,028,740,831,701,714,565,312,
883,971,122,239,433,858,085,037,576,835,861,668,960,298,774,988,544,419,134,
628,785,260,796,619,566,444,485,334,575,882,904,166,338,773,162,380,595,662,
266,272,638,899,655,982,508,609,659,273,724,661,065,709,586,066,897,870,521,
294,357,326,333,877,363,631,668,534,670,645,262,987,033,053,214,692,862,329,
282,479,841,568,482,037,467,206,817,231,248,536,073,367,477,963,220,692,773,
583,336,893,408,038,950,398,030,804,892,446,503,647,409,767,845,315,494,435,
241,449,903,784,982,908,301,323,411,274,131,429,775,095,261,495,457,792,982,
578,571,778,517,861,746,310,332,315,576,897,826,994,451,461,252,776,764,174,
414,229,905,494,103,683,352,570,831,563,259,141,061,676,374,259,860,584,017,
824,884,931,000,737,961,728,943,601,998,746,509,037,635,928,213,033,998,391,
194,582,782,773,927,704,463,014,273,022,622,148,844,716,053,811,942,411,154,
618,891,978,308,995,936,800,823,894,320,057,853,992,271,439,279,566,564,599,
960,259,101,223,455,080,650,133,771,796,234,299,264,476,766,741,110,050,675,
855,679,084,858,692,737,581,942,459,360,711,567,764,855,286,653,711,067,586,
411,737,832,977,206,011,503,091,183,368,777,528,071,061,961,360,926,404,946,
615,008,028,001,066,267,270,492,198,256,769,117,736,662,002,906,008,458,072,
044,156,648,073,491,849,090,288,111,105,340,880,655,685,841,568,504,972,779,
472,809,575,165,640,724,312,619,595,548,779,422,216,703,814,127,290,160,031,
003,720,181,766,212,726,452,483,352,718,221,782,522,631,376,806,122,159,398,
271,145,156,198,559,190,405,231,410,705,438,524,868,250,613,628,338,787,777,
643,274,512,635,090,262,238,696,020,837,921,702,293,449,398,995,407,694,697,
478,486,728,021,311,799,002,964,560,476,048,235,354,232,758,021,561,882,265,
454,858,636,836,472,159,906,515,887,307,948,063,988,558,959,570,883,345,096,
018,415,467,563,264,303,465,614,757,943,777,066,262,813,572,047,811,768,608,
111,461,544,841,210,507,387,998,686,593,134,501,121,554,252,652,985,375,414,
031,833,189,480,770,271,275,282,039,265,826,900,487,310,323,517,252,982,620,
514,114,867,170,802,042,425,003,910,173,373,274,902,841,025,163,792,823,353,
766,288,715,957,784,201,320,769,237,213,271,234,720,462,253,549,824,181,346,
265,583,151,887,754,903,470,694,218,701,255,982,893,521,749,159,692,508,504,
545,146,153,557,624,942,362,921,015,448,265,103,779,220,007,365,283,160,686,
679,217,026,844,936,119,066,103,396,894,554,149,947,567,901,917,194,574,070,
768,794,458,023,219,078,415,456,800,144,668,606,620,758,492,103,926,022,401,
190,591,593,116,657,558,582,171,024,608,390,801,842,773,150,812,167,763,159,
943,604,829,773,915,917,554,858,884,648,161,372,391,756,316,169,290,320,134,
806,510,807,265,956,660,637,737,469,838,959,707,699,201,612,381,734,700,707,
880,954,854,390,361,937,671,358,784,697,760,210,797,396,564,507,257,171,940,
748,438,457,780,573,439,398,833,102,220,669,831,716,830,735,798,300,916,752,
455,777,983,713,103,094,134,955,736,428,845,587,432,003,227,630,822,831,736,
675,532,616,545,837,318,787,117,919,543,655,952,824,002,224,473,565,766,374,
626,696,840,552,634,945,579,724,283,000,690,846,375,667,705,616,791,410,374,
423,457,759,542,719,252,416,753,377,806,824,101,174,490,059,711,601,899,420,
196,636,892,527,397,668,760,220,908,363,898,183,283,847,333,627,212,430,063,
253,426,950,445,583,246,719,799,553,442,967,315,984,055,341,037,332,368,935,
693,273,351,158,933,013,895,127,817,350,709,308,802,027,048,686,842,267,816,
082,046,686,655,882,031,465,994,969,331,768,850,738,381,593,811,396,761,730,
667,077,054,799,634,496,251,339,485,667,783,400,418,670,456,668,774,868,984,
066,193,770,752,646,555,884,203,274,505,413,645,292,223,630,645,695,710,930,
134,780,032,792,701,475,740,671,330,110,387,423,790,897,875,264,215,993,256,
404,556,377,057,864,357,483,403,890,552,541,585,544,173,921,991,211,129,819,
044,766,509,208,977,368,548,097,480,428,601,471,177,873,616,418,165,538,578,
983,545,806,714,137,585,230,457,407,950,337,070,182,260,747,081,718,393,280,
359,827,370,801,041,060,733,694,747,621,382,889,491,097,992,502,618,740,014,
442,282,513,597,843,074,183,357,863,104,758,068,297,219,206,593,023,551,706,
329,035,714,700,502,885,941,575,753,985,804,646,237,452,497,219,784,940,423,
404,049,755,482,044,030,320,165,823,357,628,505,328,554,807,728,975,575,548,
462,490,450,822,259,666,428,017,097,155,238,343,468,814,232,387,045,211,216,
262,960,116,426,889,009,377,744,045,477,109,402,041,003,195,225,802,577,114,
236,176,887,279,411,198,508,246,934,398,566,867,279,320,541,417,689,416,166,
744,773,220,537,006,775,286,395,957,048,253,672,662,870,784,903,815,032,056,
673,788,961,457,338,535,858,886,417,419,137,907,558,676,927,871,202,369,593,
226,118,551,389,227,144,720,818,519,283,812,717,144,497,014,588,379,946,841,
502,978,972,738,596,809,738,206,415,366,465,813,073,482,731,531,133,298,927,
138,959,413,521,458,682,074,732,884,023,996,171,547,140,146,476,021,063,351,
405,627,965,116,171,067,271,834,473,808,870,551,821,932,652,728,800,533,016,
747,197,225,342,302,109,867,546,901,627,104,915,811,852,477,104,675,604,535,
784,778,397,200,456,198,344,631,337,366,952,459,940,259,304,818,048,818,486,
405,539,427,159,459,621,330,659,338,666,516,103,512,352,139,127,078,725,888,
040,188,745,578,863,525,730,724,889,093,290,571,298,329,816,236,808,524,593,
506,951,010,445,042,984,787,731,907,694,906,307,954,432,758,235,999,483,156,
374,385,608,347,703,648,614,259,747,096,011,921,084,077,613,440,682,486,375,
547,504,883,644,302,061,748,131,954,952,908,189,476,741,051,365,014,205,081,
814,294,586,081,848,443,172,572,996,420,379,789,568,528,376,820,950,655,093,
097,751,919,348,920,636,751,190,773,973,388,419,999,385,741,407,082,527,482,
462,650,242,575,730,228,226,684,203,137,965,958,122,810,121,846,856,286,207,
836,524,810,099,161,869,835,876,378,719,672,983,790,634,161,019,248,612,762,
102,603,665,813,813,194,645,689,575,442,024,461,420,612,028,625,442,482,842,
740,310,302,878,161,981,705,215,379,551,633,847,184,052,107,653,044,197,636,
476,134,454,953,919,841,587,812,741,535,461,733,505,078,887,266,695,128,587,
437,923,581,943,347,636,893,182,123,341,965,142,640,362,789,663,742,927,003,
041,073,539,713,458,566,419,667,140,571,330,650,925,622,691,933,964,591,793,
628,525,436,982,124,514,980,272,219,712,084,276,171,593,632,588,250,491,234,
715,064,803,145,411,387,442,296,144,604,009,025,867,438,319,248,473,237,715,
304,905,083,813,554,479,591,134,876,094,801,947,709,446,564,697,181,080,058,
013,155,440,179,876,293,349,230,988,319,988,728,017,895,438,880,768,344,535,
626,248,539,802,296,617,554,397,827,401,791,949,943,906,968,482,964,751,340,
611,382,498,845,459,464,352,303,011,339,040,272,433,580,533,973,398,528,482,
977,438,236,207,960,322,781,896,629,214,750,733,099,476,030,783,130,576,193,
695,845,539,502,259,554,334,095,241,895,584,384,270,524,263,402,634,346,720,
912,072,602,337,257,607,454,379,546,738,317,762,926,481,121,527,357,850,511,
647,069,961,048,379,831,616,350,140,297,985,224,451,363,847,542,769,758,692,
698,712,295,015,418,091,436,535,621,507,444,058,825,205,439,740,998,313,189,
081,838,927,220,127,544,239,895,722,253,506,076,039,575,832,946,291,928,338,
167,019,520,820,256,539,293,962,309,536,370,935,782,169,594,065,861,808,504,
115,230,724,387,093,732,830,038,720,052,511,154,523,678,073,460,884,094,108,
664,032,966,559,161,730,788,798,706,453,101,944,911,134,593,850,307,765,453,
390,841,306,443,347,214,458,500,444,557,864,587,173,174,104,171,166,873,878,
780,468,267,421,869,924,055,192,218,647,757,096,918,374,871,958,295,410,752,
997,056,081,637,393,332,361,012,441,650,423,117,631,650,301,478,190,026,413,
790,960,755,094,129,860,528,402,943,431,532,764,271,251,018,593,972,216,252,
065,707,748,459,173,260,519,044,737,222,954,341,482,240,973,866,349,530,465,
073,823,758,979,188,428,598,661,250,303,998,781,281,847,390,775,647,302,391,
890,336,150,040,770,318,108,652,634,189,103,503,826,049,647,123,960,639,922,
529,595,337,207,035,009,833,814,995,931,080,644,197,561,215,854,016,296,586,
840,511,065,837,003,046,883,339,139,413,077,283,069,079,432,322,104,611,043,
028,200,916,911,490,664,593,696,762,940,698,071,782,627,090,617,817,866,975,
592,650,464,922,535,686,282,340,335,473,964,695,231,225,031,564,272,960,539,
416,603,607,387,153,141,155,617,003,764,947,948,283,962,589,003,024,858,668,
945,465,538,881,812,821,483,363,664,853,154,360,020,857,091,854,542,607,711,
151,233,395,928,390,437,461,739,866,379,819,935,424,174,926,555,308,716,935,
785,333,638,146,115,962,181,878,915,353,377,566,579,305,579,853,921,808,584,
218,369,266,720,823,820,309,332,173,991,827,179,952,827,687,478,059,648,535,
134,443,527,255,271,814,340,720,250,842,863,265,989,866,346,898,213,974,695,
164,317,610,089,864,164,540,556,795,157,460,090,378,725,140,619,281,282,693,
093,416,211,435,558,656,834,868,038,765,030,184,632,026,773,631,466,105,902,
053,301,836,662,638,255,096,827,403,208,731,555,282,406,825,378,214,624,447,
505,802,276,851,037,399,740,291,766,383,880,008,949,807,963,645,500,618,998,
562,189,122,502,375,993,904,756,659,941,040,902,445,616,180,053,485,837,808,
739,156,145,236,095,583,084,196,448,547,027,491,139,083,658,642,454,908,306,
582,240,230,839,160,740,377,391,849,600,549,311,050,113,760,241,995,593,503,
417,764,566,376,414,205,053,606,604,753,001,552,483,521,389,220,299,896,418,
873,933,475,076,755,509,579,961,890,140,330,603,838,279,852,180,001,797,661,
003,714,710,240,395,198,612,893,716,183,909,936,090,695,506,621,651,246,507,
357,780,244,344,666,026,977,505,458,830,422,375,050,436,953,070,952,850,522,
814,662,716,915,144,879,232,914,207,246,138,433,043,580,083,518,734,560,647,
973,430,077,607,640,702,698,372,719,702,972,458,146,397,905,968,939,142,339,
455,285,791,527,011,944,840,657,328,704,110,509,389,625,521,272,079,946,204,
882,645,662,049,545,417,395,678,020,381,333,250,968,160,537,450,803,201,671,
635,661,141,546,612,344,278,554,275,885,335,966,315,264,035,492,724,470,603,
489,894,173,817,119,019,154,533,471,712,623,313,659,325,500,718,657,667,971,
434,942,668,750,500,409,117,504,012,639,091,808,709,094,536,447,418,031,962,
517,122,405,857,038,681,606,644,102,761,886,771,145,935,570,599,019,083,276,
872,020,340,362,995,134,566,923,587,402,774,581,340,963,148,254,576,831,327,
690,669,876,277,345,297,993,896,070,490,451,854,115,798,346,694,207,474,039,
153,804,255,968,065,698,395,865,647,416,596,929,644,033,184,295,350,490,332,
720,913,055,904,569,746,612,847,757,323,160,056,118,360,030,456,463,361,209,
520,563,690,928,793,121,674,281,811,332,056,332,929,299,823,340,826,918,730,
540,582,171,135,855,035,274,068,172,231,675,150,505,809,375,677,332,315,335,
426,553,418,821,992,534,469,617,032,976,462,451,794,018,494,489,897,313,172,
395,370,088,211,662,634,537,851,071,332,646,841,971,141,196,359,424,226,172,
548,313,721,027,868,085,049,651,630,350,055,820,340,925,957,574,551,045,238,
620,300,160,324,755,283,535,883,313,158,841,014,933,009,908,172,830,383,043,
915,808,880,704,304,209,764,958,911,621,684,833,863,396,816,827,680,093,122,
934,079,439,332,363,753,313,565,047,765,255,782,575,857,984,164,420,968,246,
936,082,878,332,797,698,635,681,495,250,803,519,089,557,821,446,755,603,728,
610,897,963,908,543,708,799,778,503,581,487,789,110,971,422,975,814,953,594,
655,123,806,052,152,181,440,444,709,487,682,595,499,218,700,902,611,474,918,
347,613,377,003,317,757,322,166,032,013,895,098,359,106,341,475,736,963,764,
686,060,500,731,855,705,325,778,571,650,062,146,767,645,444,194,245,774,038,
237,318,722,774,746,714,204,544,961,737,790,212,863,063,511,287,112,357,089,
928,468,359,865,285,832,015,717,903,270,347,407,397,697,996,590,836,349,955,
511,048,700,336,154,082,609,009,476,871,790,305,876,366,924,179,208,361,099,
379,021,614,106,366,519,961,764,170,795,553,349,694,449,360,769,887,031,961,
777,475,729,845,169,716,468,888,839,672,068,541,119,596,858,406,395,373,349,
009,330,664,937,487,008,453,036,390,578,569,673,057,671,663,984,720,990,904,
868,278,313,862,631,246,877,255,608,873,725,541,396,490,234,388,979,991,542,
666,683,087,881,869,961,156,714,203,274,818,090,752,203,917,287,465,650,679,
523,877,759,331,019,239,658,681,170,538,797,098,454,734,920,326,547,210,839,
209,033,756,583,321,424,033,816,576,617,049,984,451,255,335,042,956,800,367,
279,416,139,691,727,628,218,008,170,470,514,689,060,290,988,907,263,133,166,
829,480,983,562,587,108,960,659,948,643,646,521,216,846,922,888,945,552,669,
896,167,796,991,847,858,342,128,117,438,394,757,991,331,558,776,052,957,500,
011,733,628,294,161,509,143,305,299,316,400,783,616,294,627,243,449,223,746,
537,566,802,958,329,867,124,659,371,783,290,079,266,335,469,699,463,365,339,
595,380,230,670,767,419,207,771,367,418,342,035,442,770,606,743,741,623,294,
433,530,306,690,187,121,011,636,440,190,141,708,407,848,410,386,573,867,010,
811,094,754,291,659,330,054,366,940,888,659,314,288,965,265,146,117,593,040,
251,673,234,418,462,765,236,959,919,614,581,265,507,768,050,587,259,628,816,
683,465,593,218,788,776,763,513,830,204,403,137,897,866,174,022,517,655,790,
489,976,172,918,393,505,233,723,304,243,218,053,663,454,299,765,955,770,145,
038,779,891,379,313,646,903,900,347,651,482,597,828,125,914,529,100,551,911,
466,067,056,137,129,365,892,844,766,674,697,488,314,627,276,386,398,014,544,
726,047,897,138,315,758,313,688,954,598,875,951,163,673,680,261,149,932,149,
745,446,632,136,392,952,242,188,223,175,143,385,793,570,609,489,311,150,265,
447,671,058,935,240,999,641,202,153,025,913,307,750,999,264,430,451,678,392,
149,112,126,088,736,877,824,151,461,394,387,086,047,136,685,294,351,226,308,
313,335,677,426,893,122,609,761,762,863,910,314,128,180,098,043,298,320,128,
157,606,244,054,507,000,458,711,661,861,963,754,882,962,989,539,949,269,474,
048,531,813,648,622,859,204,591,011,935,229,167,181,694,176,395,636,370,107,
877,021,173,955,932,625,772,925,830,702,348,955,479,021,572,826,013,769,198,
398,899,973,154,821,841,579,588,258,097,925,504,584,844,008,299,711,951,534,
209,880,746,954,437,187,250,292,789,520,222,520,968,272,203,011,217,047,737,
317,238,661,300,246,155,208,770,393,490,821,082,921,367,135,857,299,630,755,
649,251,716,331,779,510,206,695,014,999,827,944,864,749,498,841,333,846,816,
451,656,265,965,040,238,982,735,704,033,909,316,406,288,147,103,918,125,574,
342,738,714,079,294,562,286,453,344,933,588,231,890,384,138,809,786,180,453,
937,903,148,883,223,784,164,873,193,692,315,618,066,107,639,001,759,053,069,
508,588,419,424,037,655,639,946,063,404,602,619,754,570,273,383,916,405,056,
590,629,570,376,082,696,817,459,734,847,190,013,915,230,108,370,130,786,798,
156,084,901,875,883,390,627,123,793,461,074,128,439,502,730,694,846,914,229,
149,420,012,972,751,908,384,558,392,396,131,001,244,796,142,907,238,080,763,
789,130,920,186,351,997,965,149,824,112,557,757,234,016,168,366,802,872,914,
274,251,111,013,926,812,264,246,206,091,037,193,681,606,912,946,852,348,245,
944,901,626,621,450,987,020,747,331,472,351,923,334,491,812,303,292,741,912,
394,869,270,583,927,316,998,099,247,226,843,772,765,696,322,770,469,119,073,
146,528,210,989,763,749,717,379,424,612,884,827,710,722,874,524,731,116,552,
233,293,657,856,179,268,660,776,417,869,629,395,706,960,995,187,726,972,563,
305,363,548,672,049,030,941,521,254,140,054,776,731,770,300,552,200,538,419,
459,876,028,951,649,682,640,288,246,384,710,564,026,973,454,594,643,280,401,
732,142,319,885,964,320,647,797,338,549,820,863,833,008,050,253,124,009,613,
645,473,230,159,270,393,599,505,216,056,903,699,330,856,618,915,542,864,002,
037,956,380,939,862,034,696,395,882,966,461,770,612,206,629,207,913,770,580,
517,330,965,917,173,622,742,197,938,794,909,069,867,169,664,059,499,904,289,
275,837,221,542,505,594,474,035,989,787,420,172,291,905,124,799,019,479,831,
191,398,939,129,186,251,614,551,464,052,955,732,912,330,790,156,103,936,152,
163,070,665,386,510,838,025,262,794,757,527,476,403,616,350,999,621,446,485,
799,408,239,446,262,768,012,598,678,360,138,625,637,448,963,501,641,006,267,
714,965,959,746,878,816,323,678,396,338,454,419,721,982,363,134,138,480,214,
726,543,036,959,001,507,202,881,224,211,658,367,460,011,069,735,829,610,333,
328,254,843,580,331,001,657,441,994,926,670,881,219,739,971,727,139,254,936,
186,987,515,338,774,203,332,278,688,397,443,482,464,218,051,944,262,913,867,
089,666,622,731,151,040,062,678,606,357,339,719,525,326,587,425,288,413,069,
219,708,746,044,075,785,269,490,822,311,903,234,933,273,789,469,361,382,619,
807,996,334,925,117,873,062,480,142,275,502,758,902,516,088,289,485,882,836,
966,989,608,346,139,956,865,020,200,452,593,482,786,514,648,716,715,932,610,
370,935,675,698,559,429,201,505,350,925,817,086,595,952,366,827,713,534,092,
077,090,037,270,700,707,180,245,493,448,167,459,015,174,391,535,861,889,128,
456,986,228,449,572,755,626,002,290,005,682,763,527,582,727,520,873,149,422,
342,564,694,786,280,002,857,087,192,020,742,153,238,633,543,757,222,977,564,
751,013,414,855,782,150,893,707,164,123,888,748,599,691,483,180,474,130,623,
305,539,667,245,260,775,537,861,398,970,749,251,690,354,283,999,985,201,351,
542,525,347,428,401,738,770,654,035,337,926,364,865,524,004,965,242,276,574,
200,844,066,434,925,319,287,803,823,030,648,787,107,067,666,796,534,867,475,
836,998,091,421,666,666,848,189,898,585,423,984,577,037,927,054,695,569,925,
053,343,805,269,433,556,461,679,139,137,311,605,993,078,405,217,384,851,462,
012,470,258,151,600,658,700,318,838,018,872,414,080,787,732,358,272,975,425,
939,923,976,511,274,855,681,717,833,534,879,452,072,857,668,426,513,071,983,
214,347,316,334,354,501,362,675,542,905,788,357,776,308,598,048,040,597,360,
424,870,377,340,428,974,408,329,984,479,205,264,635,635,384,976,797,547,870,
128,694,161,616,288,516,311,941,089,306,630,941,755,361,161,769,474,658,796,
371,813,917,712,144,263,540,759,681,569,108,122,914,912,451,321,698,418,184,
659,062,390,212,887,025,959,987,355,597,672,900,356,689,913,384,141,206,526,
485,529,694,817,951,295,747,192,712,645,510,209,424,188,480,333,454,584,831,
350,424,286,487,014,716,163,261,782,196,818,931,881,317,061,513,872,009,132,
371,151,618,573,030,198,223,507,830,086,460,106,697,329,700,789,280,472,432,
373,447,927,182,172,269,608,564,529,357,615,408,524,038,782,974,304,071,432,
866,979,181,881,808,636,805,565,697,184,901,542,673,942,470,501,444,338,670,
947,655,085,292,849,178,299,459,287,421,768,418,562,610,380,094,529,235,413,
682,585,008,764,902,107,482,423,878,295,119,235,497,946,490,447,974,440,175,
926,723,949,364,903,994,585,799,729,476,023,214,993,718,769,657,584,494,854,
802,672,262,411,852,284,362,556,333,458,368,524,041,471,514,393,439,569,945,
166,842,766,544,482,362,284,655,378,806,325,633,116,201,344,042,544,875,072,
612,506,448,693,605,883,515,712,639,990,502,740,748,841,206,658,488,923,821,
459,511,412,636,343,354,544,836,809,964,406,433,590,191,448,305,653,583,275,
769,982,102,037,953,073,084,613,182,767,824,810,139,686,553,604,447,534,251,
560,672,226,126,148,886,562,219,399,088,232,991,880,982,875,403,437,415,889,
824,576,322,080,578,178,064,938,656,863,598,200,826,855,846,458,887,592,967,
623,833,434,298,816,428,896,132,837,370,843,320,762,264,902,068,515,585,109,
353,412,459,613,068,465,016,807,344,943,169,651,578,713,458,188,160,407,474,
104,120,394,379,623,027,725,732,197,151,409,617,615,508,365,520,697,771,431,
908,667,970,431,344,399,274,162,381,703,272,947,795,084,654,442,419,652,480,
959,287,288,390,015,766,775,900,508,461,098,723,816,978,804,586,554,897,712,
531,922,893,518,403,335,030,326,870,859,939,975,871,252,373,812,306,417,588,
374,156,655,399,686,637,269,897,118,237,351,719,558,513,256,021,121,097,702,
821,813,135,224,169,441,833,677,210,528,163,546,573,015,420,305,321,227,286,
988,251,274,943,805,173,122,261,521,081,287,845,097,447,429,613,519,060,963,
186,131,081,726,580,677,231,272,294,011,249,600,860,225,742,367,069,621,289,
036,483,878,919,264,171,846,807,165,977,314,301,532,407,307,277,315,717,362,
733,341,787,286,406,519,366,442,542,616,195,606,022,284,191,637,669,624,268,
627,879,364,028,871,141,459,712,385,576,376,375,114,138,719,482,214,550,469,
144,306,077,691,348,877,716,756,841,303,186,274,322,744,197,127,960,681,343,
689,226,151,110,722,075,744,608,418,415,870,956,201,945,387,188,800,110,995,
170,797,402,379,167,711,015,766,176,992,535,978,502,148,546,424,677,184,573,
146,148,411,158,365,043,304,307,562,782,128,442,820,738,447,690,778,878,313,
366,265,828,128,609,172,159,249,902,824,625,123,384,328,412,623,454,988,027,
259,532,607,890,283,340,776,226,197,464,818,711,342,178,367,319,586,290,385,
612,319,708,923,544,585,363,160,971,932,737,697,249,808,068,885,594,017,560,
134,346,832,075,137,610,251,282,428,671,519,958,165,261,238,582,328,458,705,
295,987,647,441,753,894,921,532,587,177,410,339,303,599,976,585,827,080,937,
383,750,084,833,168,530,690,793,917,150,718,438,127,137,824,769,802,438,206,
014,635,620,149,349,635,251,535,082,021,467,474,055,258,108,824,774,864,231,
224,863,846,698,974,904,122,890,053,012,284,614,270,372,247,867,781,422,967,
687,626,557,422,727,346,783,209,285,958,657,859,224,593,983,734,584,614,631,
046,242,795,341,563,340,477,860,867,729,573,465,996,172,541,790,496,909,286,
759,124,123,829,737,461,215,125,269,114,347,243,189,430,805,192,103,412,146,
823,321,715,478,705,848,677,159,068,881,162,501,401,896,310,223,852,576,831,
516,916,174,743,608,495,491,181,343,549,041,075,902,382,490,032,352,230,725,
525,668,100,832,837,248,020,828,107,643,950,306,991,321,068,966,926,016,843,
716,447,684,457,339,559,685,734,167,170,880,504,081,503,034,589,543,926,680,
445,679,355,397,446,301,428,136,023,606,955,365,091,593,994,886,208,991,328,
802,501,209,109,717,536,306,727,321,751,904,225,631,817,959,488,812,195,515,
435,571,187,016,222,902,008,678,727,007,208,500,479,983,401,094,733,329,991,
221,647,668,077,471,644,438,112,725,262,269,225,340,318,628,909,684,015,897,
933,264,226,373,110,054,419,010,138,772,890,985,385,902,253,782,490,445,073,
942,778,364,196,525,233,799,167,005,778,556,808,940,683,800,414,636,952,249,
241,775,997,939,273,366,300,111,414,510,016,384,164,407,797,140,064,255,246,
241,762,945,162,720,380,954,188,638,804,894,393,100,570,154,391,330,429,434,
426,720,207,234,590,279,397,425,182,850,266,965,882,505,095,634,166,600,282,
185,545,645,698,768,188,223,944,030,586,856,253,303,853,635,360,904,732,208,
280,367,730,887,735,842,465,532,591,010,710,201,368,484,277,416,326,603,163,
435,748,533,934,336,358,100,893,103,088,419,506,115,686,953,102,525,263,154,
052,001,113,562,178,345,011,014,140,793,820,468,823,445,910,058,720,630,730,
796,553,130,037,570,413,500,303,333,835,783,298,914,723,644,886,920,959,931,
115,174,193,621,033,003,532,458,662,664,539,589,649,778,960,443,628,055,276,
771,247,660,047,879,106,432,708,650,076,459,450,995,352,359,381,360,278,779,
813,726,083,973,525,092,634,539,863,654,041,270,253,971,510,772,474,789,828,
021,043,991,548,271,899,623,477,949,761,593,570,327,345,179,349,812,488,566,
070,491,050,915,930,695,564,440,036,082,745,036,976,280,971,787,377,231,183,
492,551,971,065,698,167,001,862,027,803,003,083,989,784,676,088,965,017,695,
867,673,966,468,672,732,454,684,632,767,110,965,741,592,975,431,554,723,239,
425,084,622,803,927,439,451,341,243,584,627,278,763,559,863,783,739,787,924,
999,059,555,335,125,485,358,164,150,608,686,594,067,422,051,517,868,806,996,
164,145,861,549,156,251,999,526,925,058,568,873,222,712,076,228,343,388,156,
396,297,865,231,511,555,106,735,872,292,616,158,866,323,579,646,799,404,660,
808,586,043,222,097,962,156,051,596,348,581,564,112,588,143,144,308,490,230,
375,035,144,382,821,362,495,365,992,378,684,425,090,552,191,359,400,123,400,
944,687,059,905,283,185,582,225,627,583,997,926,188,718,896,449,677,140,227,
611,387,068,808,180,275,961,107,504,200,945,327,021,154,533,006,194,427,662,
971,626,899,552,837,960,191,222,422,194,199,806,072,890,687,085,945,628,992,
837,905,527,173,006,695,723,436,309,328,814,535,866,556,106,437,027,865,791,
064,070,142,799,661,927,146,894,955,130,507,006,626,005,922,197,647,611,417,
928,876,452,367,003,952,279,577,222,608,038,102,393,710,215,890,525,605,033,
306,477,014,645,624,157,969,458,085,906,319,496,094,289,187,535,946,067,559,
679,418,763,691,078,154,490,556,609,977,012,476,119,884,484,321,635,029,501,
108,399,130,495,722,179,663,294,709,309,982,103,820,536,190,527,235,676,547,
990,333,643,619,397,417,242,310,618,757,645,036,130,153,658,523,389,096,713,
207,985,575,535,350,782,412,043,707,674,695,780,988,383,146,566,094,506,856,
883,680,346,064,020,019,740,664,961,332,216,879,557,443,142,319,943,605,021,
566,540,420,821,578,127,437,947,491,386,713,492,696,328,222,882,122,951,662,
896,075,514,653,290,594,556,100,942,699,167,136,097,920,782,236,833,139,871,
158,945,000,678,231,230,941,927,213,198,363,743,897,324,469,523,833,864,092,
158,559,690,602,938,089,569,436,900,314,431,849,335,015,846,523,454,337,981,
841,503,680,076,880,204,102,577,061,786,882,469,024,980,987,197,151,235,771,
558,526,485,557,292,194,272,307,966,412,373,987,933,708,269,770,641,098,742,
948,907,669,818,414,989,947,868,786,970,928,089,093,244,401,287,198,756,286,
837,624,619,837,897,093,790,996,261,850,165,796,052,765,899,361,244,844,813,
281,268,277,507,823,775,232,580,789,328,643,010,269,772,361,226,208,829,074,
855,442,384,862,758,935,899,582,377,149,927,366,330,148,779,419,986,034,529,
589,975,844,239,746,446,065,954,630,788,809,487,406,144,461,556,120,002,816,
380,701,362,499,882,843,021,523,952,833,815,610,266,536,190,402,838,985,539,
216,252,932,380,182,396,901,842,529,364,121,777,690,469,099,196,568,530,862,
457,330,493,610,229,848,776,424,553,403,320,304,170,639,767,513,842,037,689,
495,896,885,813,579,156,246,120,507,251,821,079,184,316,595,613,501,657,442,
999,533,748,871,840,445,175,931,969,557,573,720,653,785,413,464,245,225,760,
698,869,471,765,961,227,207,461,766,009,739,733,575,517,366,169,700,002,156,
325,186,020,499,494,472,888,972,702,942,371,528,158,453,661,898,247,137,609,
035,307,147,009,264,048,343,112,074,682,902,850,105,533,384,651,118,449,747,
942,348,107,182,206,078,852,380,596,190,886,715,775,769,405,332,498,714,039,
257,717,313,253,944,519,980,569,253,708,819,362,228,894,725,635,747,032,576,
067,601,147,287,895,206,580,556,634,051,042,236,603,811,526,438,928,101,585,
531,637,778,152,081,664,517,149,143,808,885,418,060,213,641,862,464,678,019,
524,328,033,075,540,073,851,612,343,328,622,389,979,040,546,551,788,816,327,
177,336,983,157,860,548,528,890,587,669,971,189,203,289,638,896,232,200,579,
247,852,621,375,387,272,377,253,057,985,957,736,913,118,197,886,891,540,644,
297,939,881,495,098,140,673,946,163,783,826,257,508,271,997,701,262,537,277,
167,433,412,497,661,693,792,429,394,699,160,848,943,828,324,844,941,468,647,
159,612,292,543,841,843,429,426,279,430,070,790,139,479,407,802,613,029,449,
604,481,662,437,022,286,506,258,126,654,731,911,993,112,856,635,511,136,308,
153,855,655,987,879,046,740,880,759,415,062,506,270,436,163,464,495,792,787,
717,785,354,684,337,730,411,310,900,190,200,140,995,236,278,800,014,987,899,
785,717,949,470,066,352,363,192,556,314,145,716,949,745,238,157,020,650,521,
000,924,918,095,450,800,529,184,806,519,287,589,316,884,878,069,543,147,921,
953,427,016,916,544,042,887,527,044,269,601,491,570,284,030,444,767,853,087,
320,078,225,840,294,834,507,846,561,787,280,750,386,872,578,333,792,931,843,
509,301,985,276,186,989,904,226,348,467,917,730,899,347,817,236,718,537,313,
978,529,581,845,159,300,523,603,986,603,927,827,117,535,154,139,964,974,588,
930,891,421,304,440,688,440,312,971,257,780,602,225,791,988,736,801,196,545,
410,743,729,832,281,900,428,119,071,373,709,463,756,821,636,255,002,739,188,
933,542,594,576,764,773,904,115,383,570,838,615,525,448,094,152,400,010,652,
011,123,072,652,923,001,307,926,130,885,945,902,562,036,037,981,680,146,159,
052,317,649,791,716,317,256,177,916,416,277,173,465,301,348,206,136,737,146,
088,332,710,431,225,855,554,482,228,933,996,055,848,944,144,626,196,634,950,
652,232,927,331,927,386,165,216,723,011,000,574,971,413,430,698,205,413,016,
579,442,476,283,016,233,003,212,207,332,539,197,893,723,040,850,463,242,468,
740,137,871,150,568,030,416,366,394,485,826,894,904,118,185,809,182,192,921,
598,715,862,776,569,535,498,546,461,139,325,971,181,758,101,239,773,670,668,
000,430,483,223,469,219,749,243,304,609,527,565,497,094,014,543,014,943,211,
882,691,439,598,191,512,924,945,336,680,711,700,503,870,591,749,749,166,302,
773,966,453,410,467,472,581,602,622,157,623,178,623,475,742,002,154,637,852,
752,072,787,786,541,555,995,799,276,768,118,890,782,491,797,435,299,950,966,
913,736,426,305,582,634,230,102,548,762,753,569,046,669,992,513,401,333,164,
089,899,471,957,019,714,140,066,278,777,367,343,827,242,645,537,345,476,712,
357,847,914,466,346,665,909,806,907,482,499,049,470,518,951,714,045,444,029,
204,879,530,046,966,049,411,717,168,727,584,025,091,327,214,403,225,299,982,
214,027,181,876,978,759,205,087,151,757,622,317,728,590,475,412,772,294,836,
246,828,188,525,888,606,460,722,504,891,904,698,472,380,807,742,966,163,053,
539,398,727,985,010,856,430,029,565,228,482,945,280,928,201,964,684,787,567,
765,450,052,589,333,794,328,286,526,559,643,099,309,240,742,252,484,435,661,
938,558,429,513,659,395,485,679,089,827,677,220,558,660,047,981,350,290,212,
794,999,307,956,830,275,689,181,787,701,085,308,135,539,229,450,804,018,872,
396,790,562,641,371,338,282,864,191,245,480,111,105,678,652,290,263,302,886,
002,525,683,501,711,178,939,326,441,980,097,542,081,426,633,904,317,780,827,
622,748,027,922,941,489,679,870,408,545,165,538,808,096,849,585,728,124,621,
453,673,501,198,527,396,966,642,632,013,269,072,262,239,744,148,906,647,887,
700,147,140,200,609,911,391,251,138,586,373,654,363,731,314,373,525,149,344,
472,281,908,525,150,565,406,630,285,390,803,390,393,689,628,904,646,737,706,
210,888,469,450,168,561,441,417,665,646,134,894,404,292,435,469,086,143,918,
824,212,296,156,086,836,058,746,676,769,683,164,023,990,797,584,831,478,643,
928,906,338,501,231,728,160,059,867,287,256,993,144,882,562,878,122,676,702,
746,018,726,362,152,929,517,282,913,835,602,294,051,369,544,899,191,967,010,
134,749,574,466,847,533,393,209,038,436,024,171,047,358,210,445,930,944,051,
963,817,974,870,441,716,683,658,746,390,854,403,725,369,543,249,943,773,971,
924,665,343,605,657,623,581,775,484,472,707,684,401,914,729,784,505,483,603,
252,850,360,900,768,229,341,944,156,219,604,617,438,263,907,271,871,341,280,
497,195,460,874,993,065,355,626,201,124,533,331,162,004,264,355,259,726,310,
425,687,273,775,591,757,572,858,381,383,645,323,494,192,503,440,036,701,858,
387,016,645,641,314,966,009,566,991,498,036,140,210,017,714,234,235,471,139,
523,513,248,248,556,774,599,842,141,837,331,892,980,364,811,856,236,995,181,
280,956,415,853,440,285,896,264,987,817,421,499,698,218,255,217,954,907,680,
386,705,888,727,571,971,692,660,264,907,313,092,357,831,260,509,204,010,821,
244,646,093,609,795,005,813,455,535,865,469,203,247,135,981,413,606,210,718,
392,404,652,460,438,705,382,907,826,359,498,925,928,984,235,828,303,287,115,
687,853,161,750,638,952,321,079,764,129,411,311,569,660,854,674,525,368,195,
671,903,689,486,428,501,475,806,326,720,837,991,950,648,054,820,624,651,640,
074,372,820,189,878,178,741,426,376,045,545,361,148,249,315,122,240,097,261,
288,426,311,105,679,771,314,815,287,517,821,291,429,137,431,278,760,974,624,
107,418,372,082,191,371,758,530,182,188,811,621,479,312,676,067,246,499,266,
257,464,910,541,185,241,843,726,031,421,071,071,311,521,355,699,493,850,334,
053,092,976,573,128,277,303,638,941,392,392,309,331,868,853,603,613,674,153,
225,718,520,281,049,253,071,369,320,159,732,930,675,789,239,514,623,077,816,
530,042,811,235,750,279,171,934,962,734,738,728,434,514,303,229,449,298,966,
972,540,062,631,014,480,195,946,783,202,821,012,224,961,164,022,227,574,362,
971,971,996,766,433,799,898,945,997,851,829,983,171,109,867,049,575,970,187,
706,557,603,591,214,906,581,691,930,865,953,515,176,874,170,959,515,068,613,
324,572,253,727,918,195,007,354,152,531,420,213,218,510,710,122,786,052,760,
519,412,751,188,953,624,855,537,551,108,256,988,278,205,949,722,046,864,043,
735,307,984,187,380,088,779,155,297,274,289,294,653,127,678,849,635,421,713,
140,721,104,102,610,335,901,497,866,011,025,343,149,201,473,849,571,969,840,
776,374,685,393,708,391,811,905,473,540,916,646,163,723,599,412,242,089,779,
671,052,806,888,191,514,067,736,186,048,364,282,288,159,009,858,917,779,554,
466,603,902,595,909,714,282,442,322,055,762,704,333,418,700,968,685,592,454,
191,642,882,254,091,696,894,485,171,778,606,769,815,875,880,311,209,470,883,
231,663,466,359,288,152,054,763,571,526,690,480,245,643,967,551,393,231,922,
518,385,257,336,398,363,940,828,773,688,500,158,780,574,887,934,173,278,221,
171,292,165,438,051,117,746,619,929,861,086,097,377,782,064,450,874,858,620,
666,365,665,534,440,387,434,952,402,037,749,625,772,592,206,438,901,692,838,
024,092,497,886,287,790,858,551,507,243,231,496,447,258,577,397,376,845,285,
818,360,973,846,443,318,103,540,605,324,669,703,454,818,601,162,758,634,415,
788,276,692,896,884,952,771,014,061,931,973,138,415,431,327,288,849,241,041,
547,060,146,518,769,461,436,687,758,986,976,196,931,557,060,973,303,943,407,
830,816,329,888,002,359,904,341,254,424,210,736,870,083,017,708,424,954,024,
274,774,724,651,983,457,261,680,379,953,919,099,337,205,549,763,342,457,283,
113,507,098,601,685,788,835,644,342,242,324,719,954,956,110,776,775,693,678,
467,022,461,927,978,273,886,978,060,499,932,995,445,443,869,430,472,413,410,
308,065,603,206,139,536,884,363,806,040,093,214,596,183,029,713,252,297,303,
598,063,039,307,682,461,415,584,294,151,265,098,724,535,511,493,121,153,175,
102,256,709,572,374,214,232,789,621,553,926,716,373,404,305,622,517,257,936,
678,624,581,474,157,183,632,164,967,667,091,892,789,955,515,789,849,655,597,
144,708,195,602,833,001,437,663,504,114,960,633,941,210,212,362,508,187,761,
429,357,754,706,250,502,251,421,757,880,288,756,951,196,934,227,893,791,358,
209,429,270,625,645,295,829,264,845,471,958,003,291,611,972,467,998,558,016,
371,453,166,923,600,850,564,571,225,241,030,055,802,279,205,194,378,685,021,
177,680,662,080,140,709,696,855,120,366,648,471,803,684,932,825,224,587,015,
147,493,565,266,708,625,634,227,034,345,881,349,369,018,242,987,173,229,177,
892,915,229,467,119,250,448,230,029,310,753,758,887,149,982,551,255,118,677,
035,857,321,968,065,855,194,417,409,292,965,605,030,012,964,396,458,818,640,
683,480,234,862,491,693,293,939,079,236,065,467,663,864,932,240,282,900,273,
597,897,384,395,272,669,776,638,774,061,045,349,764,023,140,196,356,023,839,
364,891,084,836,921,028,075,986,659,677,294,766,561,852,813,841,699,652,352,
286,176,657,200,629,076,504,884,740,589,500,118,419,529,451,960,979,271,162,
109,562,995,214,127,461,600,263,439,857,259,861,224,233,716,007,161,133,218,
284,342,333,041,743,086,201,602,394,339,554,119,428,608,149,495,380,902,021,
847,970,182,818,154,542,232,120,008,699,685,536,911,518,432,476,201,080,757,
186,933,049,293,579,777,676,569,709,387,784,571,753,065,667,255,111,923,074,
227,043,848,856,556,253,120,479,713,755,042,267,498,895,537,203,667,754,102,
802,251,355,554,951,821,827,277,482,707,406,538,930,188,202,293,589,742,349,
430,466,864,480,781,304,955,959,583,694,865,290,006,918,456,744,814,690,290,
225,544,262,301,148,983,805,665,962,438,891,591,955,585,408,467,769,113,872,
328,592,916,692,326,649,021,165,977,645,630,331,263,079,103,374,530,293,381,
875,983,089,542,668,112,407,766,520,814,255,011,446,133,871,150,734,455,080,
130,455,176,494,137,837,114,434,161,001,308,417,676,432,066,136,710,580,961,
583,951,811,616,436,368,208,274,940,783,441,336,754,432,265,147,788,672,320,
159,318,708,917,175,051,008,321,176,386,021,793,547,922,978,042,689,788,752,
312,969,689,776,054,642,457,927,341,961,886,971,535,246,902,740,892,599,701,
353,669,893,911,057,984,221,673,372,567,589,926,297,549,661,242,012,597,149,
238,818,948,623,639,177,796,508,795,481,176,314,519,064,286,199,078,127,845,
637,988,779,851,927,452,249,099,449,420,532,443,648,644,357,977,907,112,296,
240,096,175,982,554,308,387,096,865,398,517,325,583,210,578,613,674,329,335,
162,679,939,796,751,990,189,270,561,383,809,073,797,009,088,847,235,194,724,
371,871,839,032,826,123,394,436,740,938,294,207,554,489,622,485,194,132,191,
705,670,835,901,644,612,116,066,167,677,678,238,901,127,692,754,229,518,549,
822,180,612,505,611,216,221,410,092,828,754,290,415,974,651,524,879,830,010,
521,089,897,030,073,347,582,578,158,577,628,717,887,706,781,499,397,162,261,
385,179,107,296,019,206,564,888,545,783,839,445,071,397,767,590,252,357,727,
485,798,885,600,416,287,748,030,667,890,704,765,232,091,105,195,580,637,181,
764,442,829,049,843,955,880,945,320,812,071,660,301,114,786,362,488,096,050,
209,472,766,804,263,107,955,897,506,193,696,259,657,341,186,829,623,313,954,
656,187,043,494,440,355,192,206,747,005,678,910,262,778,168,881,676,584,823,
794,803,996,884,929,629,706,083,800,377,684,865,403,632,374,220,059,524,190,
795,221,681,831,155,115,802,174,827,512,281,152,156,499,929,397,403,669,947,
017,278,987,246,690,137,908,509,490,803,491,244,433,878,140,679,944,070,766,
333,738,307,905,553,249,027,756,131,975,927,325,775,644,227,218,218,744,595,
578,330,793,497,944,495,307,159,641,872,592,604,316,548,330,665,339,847,106,
349,665,958,911,444,223,788,751,664,219,856,854,654,607,216,858,327,769,351,
849,883,002,722,367,485,002,420,740,768,273,901,751,822,071,013,884,595,587,
092,872,545,445,706,014,583,545,837,001,694,982,515,752,696,142,485,849,353,
326,017,157,010,386,660,506,913,008,977,726,918,176,678,806,966,148,039,517,
098,640,532,231,989,044,807,302,156,716,332,541,868,346,062,454,323,430,326,
565,312,999,374,587,880,868,958,374,002,878,699,407,508,626,690,305,656,007,
315,122,734,836,621,962,545,902,235,236,025,761,848,371,327,904,794,644,573,
809,209,194,541,190,015,993,266,032,617,721,097,613,317,031,314,551,317,853,
553,025,043,685,692,671,890,748,055,975,503,168,696,383,131,603,414,654,341,
530,397,058,678,137,737,604,702,144,682,891,600,564,146,328,818,940,323,046,
488,767,375,015,824,929,862,649,976,799,662,238,509,939,431,339,264,792,443,
239,402,640,810,295,948,030,425,768,012,397,727,120,847,409,858,726,479,016,
162,303,937,149,464,488,058,932,975,513,553,701,616,684,048,436,128,611,093,
274,102,278,982,203,979,032,775,671,261,556,836,092,817,111,311,101,637,840,
086,554,605,284,987,085,145,329,183,275,381,449,940,205,803,542,646,884,286,
377,419,901,186,271,271,140,219,105,173,124,381,821,573,091,784,117,384,169,
746,313,696,604,316,346,792,876,366,591,031,235,505,836,093,957,202,905,613,
539,637,936,609,840,836,908,347,903,224,086,897,165,431,743,497,283,095,110,
931,156,454,462,623,531,763,743,033,062,461,674,385,079,863,764,182,533,639,
228,689,752,501,265,022,618,185,802,210,981,425,405,959,625,767,093,208,711,
987,195,909,218,494,257,492,902,400,372,244,743,940,111,216,296,705,201,664,
281,463,292,329,386,697,374,565,474,058,594,039,085,604,182,221,900,632,983,
005,401,977,572,966,460,048,030,808,842,717,045,927,413,287,533,374,439,268,
216,672,585,833,476,518,264,557,881,695,507,664,550,865,196,396,353,575,206,
769,632,254,544,487,800,031,571,556,640,449,162,682,486,745,623,707,973,045,
100,244,786,175,497,566,350,233,992,710,516,835,034,755,358,204,707,366,516,
183,817,082,416,632,370,556,104,930,471,747,649,156,750,195,899,709,398,884,
757,972,558,889,290,286,568,474,511,738,787,194,431,605,619,289,522,869,996,
577,828,412,574,865,165,412,183,574,630,896,633,141,602,852,134,316,646,380,
517,650,442,418,961,996,683,787,086,791,596,896,090,428,051,747,948,306,025,
924,173,961,777,548,117,507,925,644,828,335,928,988,283,941,480,165,374,204,
874,169,694,600,816,027,541,599,036,316,479,339,829,253,047,866,092,212,177,
002,296,453,090,200,232,462,311,619,029,597,188,289,274,006,089,842,831,904,
125,686,453,266,032,195,864,245,950,516,742,661,164,815,507,965,972,179,601,
727,963,780,879,579,523,159,183,491,913,720,551,469,004,599,021,629,370,702,
761,009,517,252,759,847,441,134,379,995,763,958,119,204,370,861,704,976,273,
493,285,939,604,725,821,061,276,728,201,171,981,323,756,954,393,168,845,314,
075,109,344,737,484,759,057,404,725,176,784,651,702,336,826,926,894,978,562,
368,022,739,789,244,183,578,151,447,014,128,279,727,600,755,833,756,894,385,
624,828,214,436,148,090,149,560,622,764,605,831,922,259,653,572,300,963,232,
922,982,360,309,959,476,396,209,767,019,724,985,656,431,436,569,153,695,591,
871,475,417,818,450,475,001,818,218,157,823,617,758,119,295,817,380,768,677,
616,992,102,348,000,345,939,653,898,586,020,043,725,242,791,911,832,514,052,
986,612,206,624,248,890,588,225,274,253,962,649,233,879,506,822,532,871,055,
939,334,222,683,283,218,254,125,483,841,604,853,672,234,327,724,923,670,443,
698,814,608,772,504,510,591,665,305,066,383,808,606,727,953,528,517,828,392,
043,421,682,814,087,286,938,862,270,669,119,051,229,519,612,719,186,651,433,
208,992,301,704,789,676,409,406,206,512,420,714,586,134,029,207,904,860,436,
992,351,845,763,459,674,950,882,176,047,416,555,653,139,632,868,085,653,397,
727,825,112,492,834,850,278,633,947,694,186,439,761,785,468,558,344,855,575,
368,577,028,266,757,090,387,072,774,175,270,080,180,585,924,193,381,144,268,
485,167,730,419,234,732,686,549,299,892,661,390,250,707,564,550,288,840,632,
225,506,595,834,102,709,881,026,132,064,162,821,687,733,353,309,625,540,157,
851,965,668,861,324,686,306,965,549,488,141,117,521,881,254,574,742,270,141,
174,002,230,224,034,093,588,467,682,200,869,898,728,894,305,910,977,301,581,
402,034,549,207,025,726,870,077,052,976,004,517,227,307,196,107,253,002,227,
636,272,359,701,629,676,047,131,819,552,341,070,103,221,489,191,902,878,585,
971,550,811,233,828,980,104,216,683,377,089,396,903,451,199,281,887,000,694,
907,037,852,487,738,728,749,520,025,425,729,305,424,759,219,681,489,736,683,
582,660,515,688,725,559,460,295,862,404,614,803,818,196,424,242,976,879,330,
555,317,027,603,147,717,412,814,976,253,886,206,560,412,804,139,149,667,222,
283,336,386,619,433,369,276,344,554,823,170,864,878,638,702,746,152,145,453,
629,495,471,790,792,649,298,392,360,905,005,641,398,192,239,812,609,122,267,
748,986,051,659,190,384,182,757,727,469,050,191,937,703,300,750,925,181,049,
522,862,568,022,223,190,312,771,471,573,659,090,752,781,385,239,213,963,762,
457,398,681,763,149,567,030,311,960,495,959,454,821,889,526,937,999,532,355,
019,883,218,647,526,362,224,298,660,945,516,427,679,735,475,653,661,738,318,
475,057,587,514,963,906,348,638,190,181,880,333,512,841,980,954,696,288,906,
757,275,431,848,064,310,641,423,639,234,188,624,867,348,733,251,576,695,281,
680,859,537,621,794,957,649,662,268,635,208,382,366,963,117,259,691,897,551,
249,957,676,657,826,865,305,070,403,128,881,086,170,537,235,970,156,915,006,
616,778,123,790,957,301,335,166,341,585,020,811,159,146,234,794,574,509,912,
231,391,690,549,281,376,762,134,104,843,130,823,145,067,840,111,665,854,366,
253,171,418,839,430,580,160,712,035,659,509,873,309,535,615,594,181,109,537,
252,065,275,807,884,772,055,135,558,226,981,787,776,479,796,722,598,160,756,
924,718,453,833,045,392,361,623,424,018,522,377,056,014,209,189,595,920,132,
227,370,777,437,190,967,074,677,055,168,171,861,599,004,822,988,925,440,354,
419,592,057,274,823,899,702,832,182,474,791,041,057,391,910,803,004,776,082,
626,946,863,953,108,346,674,294,928,356,609,066,446,127,702,524,726,678,824,
726,707,503,363,496,423,951,470,372,271,918,978,579,398,062,951,149,441,486,
148,659,725,523,507,403,090,992,157,736,025,504,366,270,771,955,440,459,943,
750,424,590,886,526,032,135,433,734,174,700,648,794,521,202,386,863,381,765,
906,289,172,058,397,739,077,001,201,633,387,667,504,669,342,546,006,545,067,
721,785,097,480,960,383,119,147,844,153,122,451,441,384,998,585,007,865,040,
397,133,623,103,131,510,902,888,151,713,280,456,514,531,839,432,094,103,969,
437,579,950,794,983,888,309,346,934,014,079,030,525,193,882,667,188,249,229,
689,445,942,430,338,181,746,417,500,441,553,365,802,694,771,572,378,238,474,
842,968,508,508,617,735,331,262,169,100,287,260,354,213,164,333,293,017,578,
341,274,404,130,000,432,619,417,613,154,015,534,052,733,001,782,623,202,348,
727,240,717,024,561,764,880,736,021,377,745,607,170,302,968,705,356,016,192,
675,713,975,560,868,235,142,531,786,189,931,450,058,244,480,182,609,825,153,
369,991,355,032,370,298,891,243,071,327,519,961,108,136,524,455,159,778,463,
165,393,351,425,323,982,441,835,920,987,378,029,878,546,161,900,432,841,606,
688,985,372,944,477,234,882,140,991,574,040,907,155,135,369,108,502,982,000,
154,803,791,261,458,337,796,720,690,177,847,920,998,413,082,993,702,669,726,
837,036,493,668,178,521,357,651,030,134,803,850,254,636,028,862,985,602,914,
538,467,981,944,723,226,403,037,443,104,987,431,798,330,843,950,192,220,780,
184,100,534,499,033,633,067,316,106,472,379,847,595,873,750,793,541,345,021,
320,952,578,968,223,188,801,286,962,640,180,035,803,876,927,751,489,604,504,
228,112,676,762,255,559,473,329,828,916,285,884,429,178,449,966,955,352,707,
034,210,081,789,208,810,530,950,271,831,364,574,404,197,695,534,570,872,248,
716,885,829,668,638,911,309,542,940,115,735,836,082,362,572,251,663,586,754,
038,075,978,709,963,320,967,213,175,783,209,987,529,054,468,668,988,332,259,
242,531,929,255,685,941,244,226,205,129,463,562,503,721,275,978,064,401,598,
914,323,110,537,332,539,928,541,104,478,129,360,180,596,183,506,892,136,738,
418,853,762,245,855,471,079,243,502,364,971,907,867,218,965,635,127,577,825,
739,094,815,894,039,191,761,360,590,790,576,473,152,919,954,662,126,114,516,
828,693,889,437,439,962,903,527,576,439,136,431,307,253,491,255,154,404,483,
357,377,384,164,492,921,150,582,540,510,222,333,614,819,160,866,257,000,160,
287,649,556,505,763,428,392,674,028,948,201,296,742,665,230,053,245,376,594,
773,569,610,692,913,029,259,247,005,457,136,852,783,844,292,587,677,411,344,
658,344,586,776,651,377,561,662,298,507,520,992,805,564,019,056,015,492,381,
242,499,464,755,540,826,243,895,832,057,282,669,463,725,643,320,949,681,989,
955,501,571,677,508,868,302,634,016,078,896,448,853,650,880,007,229,393,360,
940,306,490,914,929,489,921,123,214,858,813,236,149,840,279,096,883,738,965,
545,044,253,509,193,313,291,346,494,856,679,885,932,054,951,422,176,164,634,
883,699,954,918,592,419,980,055,220,406,875,099,538,289,361,610,013,064,125,
238,299,242,244,931,239,978,265,117,963,086,566,964,954,785,032,367,906,392,
895,292,894,280,526,444,832,458,333,950,740,078,852,871,693,405,570,066,659,
040,383,144,716,793,123,605,636,635,821,318,431,166,465,011,152,642,097,073,
762,734,024,362,621,582,449,770,177,431,219,165,782,199,319,102,264,735,088,
054,647,635,866,437,041,965,699,015,645,266,991,094,340,649,974,966,524,406,
419,273,843,774,404,035,211,214,559,614,532,639,954,116,025,292,396,825,950,
747,491,720,519,803,029,570,095,357,056,972,679,271,485,573,444,867,284,283,
071,588,501,231,538,503,409,358,601,858,666,127,173,347,518,519,514,909,320,
707,825,197,877,434,181,467,153,046,714,298,173,910,295,834,107,775,391,472,
872,808,782,980,381,176,585,215,026,918,338,287,868,360,163,599,236,153,215,
536,127,981,104,777,045,284,786,353,783,675,135,769,494,971,970,251,416,732,
319,734,916,091,013,160,072,312,606,428,549,518,035,327,108,393,015,756,196,
914,999,011,537,007,283,115,812,294,866,510,287,223,044,282,642,345,518,335,
814,952,820,662,748,605,018,493,059,783,508,049,800,058,890,250,076,733,437,
946,004,678,917,785,820,324,521,416,381,025,859,729,875,087,044,672,184,553,
113,751,561,270,426,411,193,731,997,116,692,027,141,663,673,252,294,512,158,
684,005,103,234,480,426,454,491,899,758,511,638,387,309,866,883,772,883,335,
390,154,303,084,317,014,120,819,325,943,495,494,518,516,556,093,410,370,247,
250,567,794,412,252,985,804,923,489,632,905,096,251,516,628,664,538,171,174,
115,305,996,006,724,679,133,848,144,373,908,623,451,328,687,042,345,569,545,
121,639,552,657,300,057,148,690,368,295,423,527,019,233,460,741,799,236,608,
059,431,643,688,536,728,763,548,067,212,791,209,971,842,698,439,169,459,304,
165,214,203,755,636,832,373,838,500,053,055,591,047,007,346,641,506,450,943,
351,249,719,830,200,357,436,443,550,928,885,989,848,588,923,999,403,081,853,
669,537,810,598,973,999,325,088,608,868,343,537,489,359,230,844,489,467,629,
092,201,205,876,676,040,676,179,270,311,090,136,214,372,930,058,234,839,808,
284,608,430,342,692,790,201,572,782,491,844,391,454,767,888,502,998,573,661,
244,896,397,169,000,497,829,694,392,937,185,796,765,125,338,026,054,706,209,
687,721,088,004,566,467,664,956,580,837,616,819,753,743,184,370,968,364,570,
397,446,155,962,716,640,816,505,778,197,281,051,942,226,977,421,989,952,400,
297,010,792,121,671,546,317,463,744,641,528,862,762,494,075,836,466,673,858,
829,935,627,933,892,297,526,473,592,571,249,015,842,262,806,301,157,622,945,
669,022,073,408,248,098,905,661,250,662,771,703,496,313,762,020,363,117,861,
014,741,562,251,352,608,328,026,768,993,771,739,825,200,983,028,031,585,287,
505,799,488,162,225,490,145,296,922,529,262,457,351,275,082,246,348,279,385,
125,441,870,338,151,697,823,828,771,281,724,346,484,032,266,376,216,366,213,
276,347,142,181,556,160,679,449,755,546,752,225,097,451,491,899,417,642,032,
080,874,210,061,378,056,946,149,635,169,745,850,583,509,866,618,579,520,220,
798,206,109,099,787,651,627,507,534,066,980,896,258,587,368,699,989,746,837,
439,439,450,640,565,130,662,828,915,774,716,204,849,428,726,940,772,665,875,
650,305,285,568,075,032,621,070,965,371,166,035,641,554,732,518,294,525,304,
428,545,070,075,120,728,490,681,296,555,796,449,928,316,278,258,229,190,942,
451,393,303,357,491,144,975,589,752,927,307,278,150,493,028,152,055,865,613,
382,066,170,889,041,018,438,479,121,196,011,673,804,015,320,885,223,855,458,
280,231,729,428,532,592,180,397,058,620,233,958,275,349,962,823,908,519,497,
214,916,680,626,001,515,493,840,622,345,019,164,741,316,629,925,841,493,221,
693,610,324,100,529,882,646,924,609,051,808,016,110,014,831,687,860,213,874,
199,422,031,922,043,062,390,320,357,114,284,251,475,014,589,623,187,258,583,
778,302,039,449,029,907,634,779,264,719,385,586,514,527,038,439,445,264,370,
071,509,745,402,284,710,934,957,474,272,156,178,772,545,526,896,370,220,833,
687,702,245,958,555,631,151,766,466,481,179,467,107,423,679,670,728,517,814,
670,314,307,709,136,196,589,163,350,838,003,360,286,306,248,820,591,134,357,
363,061,661,742,517,254,248,537,033,830,615,652,598,219,982,388,883,359,846,
688,808,949,464,043,315,891,820,183,796,362,933,810,539,721,796,464,191,475,
862,243,957,065,365,872,055,308,952,562,181,845,723,232,266,808,376,726,593,
624,053,813,829,880,680,163,363,585,797,760,002,170,173,524,963,821,378,434,
931,490,305,426,950,903,821,407,519,592,391,830,462,435,859,778,984,778,679,
653,815,626,135,246,112,829,319,390,965,748,566,017,203,702,897,285,780,184,
420,098,580,037,233,379,492,980,888,695,855,663,203,517,670,966,892,468,203,
908,418,203,062,250,896,827,731,943,271,528,809,050,437,073,889,615,030,373,
794,378,328,182,733,437,670,521,941,991,923,282,311,289,144,965,720,411,782,
277,766,832,534,730,505,506,926,974,666,668,146,283,889,243,474,014,443,496,
178,016,023,523,676,205,969,774,033,814,644,227,647,224,160,316,189,061,694,
746,960,650,411,376,265,127,144,086,612,101,039,284,396,988,659,497,783,571,
874,749,786,288,620,869,161,545,230,475,165,066,293,626,502,534,757,395,963,
862,047,080,701,789,866,548,184,067,473,196,179,396,954,112,984,305,383,869,
414,465,145,768,218,991,887,116,060,387,759,433,548,851,917,513,029,467,307,
219,469,433,029,248,556,457,978,719,681,302,074,044,373,765,868,860,645,538,
478,716,479,344,116,487,891,938,439,037,119,621,045,200,142,559,664,271,074,
025,518,430,231,817,543,368,498,723,771,899,092,041,363,924,207,915,859,245,
252,477,940,664,861,308,335,079,455,422,150,957,793,491,783,034,686,352,444,
914,805,889,227,110,216,407,482,658,564,756,553,405,758,908,417,329,207,306,
858,044,810,951,166,862,539,679,434,291,814,583,428,150,084,162,024,270,220,
606,514,941,315,529,194,028,228,424,404,836,448,539,759,499,246,582,043,942,
370,928,387,457,294,105,236,808,725,074,982,827,851,484,223,777,588,572,451,
725,465,809,952,867,583,578,019,597,623,938,685,571,512,442,386,683,079,042,
792,327,715,728,709,932,963,826,974,692,834,064,855,216,855,493,523,950,941,
383,538,397,010,931,670,468,998,906,063,925,420,944,565,385,491,753,137,999,
957,974,422,819,128,996,757,782,877,855,881,627,334,517,226,237,876,291,320,
060,212,274,770,625,174,230,129,518,773,341,623,532,577,783,200,214,716,059,
714,953,479,595,544,602,955,749,396,850,441,618,426,952,467,053,023,024,692,
404,200,883,732,445,892,783,070,362,217,197,388,687,855,332,052,923,796,048,
554,256,633,190,232,487,159,205,148,280,876,413,649,153,626,101,623,611,442,
409,028,485,487,909,997,088,674,270,749,512,536,409,157,142,904,668,114,693,
196,301,665,385,117,066,327,660,063,282,093,159,718,036,570,906,936,068,119,
922,504,277,345,553,611,324,167,354,986,597,442,226,298,511,115,655,876,040,
507,539,842,610,806,547,786,175,194,946,042,424,095,912,625,129,786,568,198,
652,854,095,727,783,989,303,072,227,335,366,725,670,833,894,362,263,017,189,
034,692,951,085,191,657,233,302,244,099,689,886,860,040,024,625,361,996,256,
557,072,438,056,964,106,517,967,482,189,295,475,249,221,734,176,405,992,080,
175,444,275,127,700,321,671,630,579,514,864,135,926,442,314,074,435,560,026,
942,184,811,326,513,483,437,993,701,997,929,846,136,762,798,152,005,287,792,
378,195,643,379,624,562,235,221,197,688,600,706,538,550,122,526,516,085,816,
471,396,116,260,259,869,109,243,217,275,017,623,560,475,298,928,427,367,829,
037,117,709,211,667,177,980,485,629,100,802,478,644,781,829,108,676,757,216,
147,261,179,188,500,178,649,432,649,381,183,080,793,480,424,968,263,598,682,
745,578,640,817,970,556,650,167,476,246,481,905,328,030,823,941,879,463,592,
979,405,959,131,490,036,206,277,559,536,325,631,893,448,272,985,138,702,718,
417,040,770,542,362,345,285,405,883,620,292,727,378,554,448,393,225,163,370,
230,111,516,656,140,627,653,280,363,409,452,251,177,685,664,452,036,073,151,
792,341,969,027,434,436,110,839,770,017,440,261,707,921,356,112,037,973,310,
204,434,971,484,173,577,204,822,791,641,913,490,677,404,957,295,328,829,251,
676,388,516,915,283,941,019,709,826,866,848,700,191,854,396,370,818,128,645,
366,163,212,030,495,327,680,726,055,964,469,763,011,758,880,865,158,843,482,
373,656,537,103,390,049,373,329,111,288,715,223,506,473,273,642,256,878,617,
011,393,569,623,096,499,309,380,519,055,465,131,102,954,160,197,571,748,138,
336,122,252,895,505,751,950,144,394,380,055,354,854,475,090,617,285,659,692,
136,981,587,477,375,597,971,722,569,661,566,224,424,022,401,146,628,867,194,
476,383,408,130,599,965,248,934,523,668,840,728,629,302,471,628,425,490,332,
421,970,506,567,158,045,191,215,454,809,573,479,062,567,869,880,561,036,499,
613,482,259,715,724,810,220,075,322,837,539,627,859,865,739,213,186,158,003,
893,696,246,762,417,115,810,856,355,441,335,187,834,478,475,593,221,095,173,
832,400,371,424,849,693,013,769,817,928,347,459,361,823,027,942,530,008,105,
233,185,442,996,434,640,643,368,852,929,901,890,818,248,954,864,973,934,948,
191,476,699,904,367,511,161,991,800,513,038,354,400,477,470,438,439,332,404,
706,014,155,090,346,308,880,787,950,533,384,300,000,982,701,369,878,633,440,
794,104,083,442,147,738,926,450,719,929,476,594,932,628,100,711,942,205,907,
977,417,521,853,188,495,160,534,693,046,641,746,201,051,105,854,261,717,834,
574,592,830,183,272,166,516,488,167,001,257,178,169,556,258,039,317,504,428,
490,789,694,786,745,234,060,158,306,334,063,082,128,289,547,839,599,163,843,
097,070,996,218,362,285,281,626,460,518,003,191,536,629,395,721,240,798,759,
171,497,581,230,828,043,365,826,338,952,688,502,210,317,284,505,448,111,360,
303,381,762,360,082,297,907,829,826,113,616,835,438,377,965,943,003,337,511,
536,508,967,453,269,847,812,937,705,845,500,833,061,804,481,844,540,005,391,
882,102,152,059,110,720,408,869,464,285,938,105,555,482,385,304,832,656,541,
301,082,597,360,982,613,755,481,520,464,486,077,904,260,817,675,439,521,515,
423,700,142,909,318,036,703,919,087,223,635,454,298,363,285,683,426,441,571,
909,728,163,537,234,035,172,463,468,399,191,696,614,381,995,730,894,709,854,
152,408,271,312,176,529,971,810,148,200,922,877,301,687,710,916,683,822,705,
623,068,467,841,232,829,926,507,890,815,864,808,145,008,899,774,325,379,858,
398,911,210,652,847,652,230,473,006,428,737,860,299,817,012,581,159,013,344,
229,414,571,000,826,853,165,442,499,061,921,316,536,882,695,782,619,402,728,
477,942,244,180,126,566,647,277,393,500,697,289,279,199,138,375,528,154,666,
824,182,637,114,197,009,897,220,405,219,205,592,219,667,893,821,074,974,727,
007,641,197,390,357,428,840,121,723,114,048,823,211,909,397,695,757,828,485,
210,076,811,036,023,810,705,104,799,813,323,588,939,141,050,560,569,480,233,
493,661,508,089,831,189,915,659,770,920,215,077,286,182,100,553,352,368,287,
514,027,644,850,098,572,463,992,756,817,401,660,834,338,891,058,941,739,663,
315,104,556,848,715,101,377,395,763,620,990,975,099,871,118,953,217,843,150,
701,419,574,601,964,756,314,577,895,894,770,721,104,468,428,834,967,441,431,
717,555,178,407,155,039,366,277,943,534,571,822,103,696,543,092,735,743,467,
937,460,438,413,527,282,931,157,470,053,081,029,540,305,983,779,221,688,365,
706,469,625,114,876,814,816,744,711,840,740,925,140,314,072,476,118,695,610,
051,687,393,315,995,836,555,369,026,691,627,989,563,034,601,397,281,624,180,
276,001,090,539,309,175,203,000,075,866,118,107,360,327,038,730,083,594,914,
045,696,142,683,717,168,583,189,229,701,961,124,680,975,072,378,419,807,288,
709,188,798,329,914,642,920,570,712,783,681,746,446,501,962,094,153,581,071,
470,424,914,037,479,035,481,764,455,574,254,975,708,802,055,569,426,518,643,
605,457,060,641,873,317,568,950,810,204,398,065,117,597,761,978,544,061,129,
960,004,599,072,204,738,990,793,479,720,159,977,529,549,882,405,117,173,004,
501,045,854,835,419,030,877,715,800,086,790,227,857,413,215,799,023,406,278,
553,415,989,716,820,909,113,374,909,900,537,868,928,268,138,879,376,203,434,
652,855,187,265,510,438,507,298,312,718,080,099,678,588,561,458,874,336,839,
961,685,466,898,061,741,684,812,437,739,077,743,738,780,944,969,089,499,873,
687,534,723,348,270,107,075,032,605,083,714,783,357,111,807,061,123,244,755,
600,322,832,952,236,797,424,782,470,393,570,304,938,702,383,175,450,279,642,
989,495,501,110,132,536,212,988,970,752,827,571,333,931,612,745,117,268,468,
164,876,575,331,707,686,955,474,609,356,142,108,993,454,988,718,511,714,746,
199,094,696,238,062,119,337,649,641,179,371,414,716,886,539,789,261,220,026,
378,383,965,907,340,882,780,907,308,443,255,563,423,856,463,655,198,753,467,
126,475,409,297,308,075,445,508,094,058,619,601,512,993,947,050,802,754,755,
885,976,585,548,739,931,325,128,116,919,015,546,369,573,650,327,064,780,727,
935,239,221,856,611,586,020,450,842,461,093,359,525,343,307,208,582,268,917,
220,312,823,599,159,344,169,550,194,283,354,590,540,474,089,143,512,379,184,
732,977,331,750,190,535,939,222,413,378,091,608,274,474,003,093,323,740,369,
468,875,270,591,692,648,700,270,191,909,293,626,206,574,271,349,722,418,882,
408,745,052,089,803,077,982,161,716,146,315,266,099,207,817,896,604,183,659,
668,003,108,171,233,182,883,105,895,069,149,584,166,073,746,517,912,798,623,
674,626,068,832,668,868,063,218,223,146,513,899,344,439,913,260,790,244,118,
295,607,782,438,155,164,275,255,933,099,830,373,399,476,850,143,119,290,698,
858,912,192,603,969,633,539,788,012,184,781,296,046,501,456,133,289,450,367,
876,112,733,895,903,112,657,647,373,875,657,063,422,989,824,372,959,706,685,
307,879,464,575,668,631,155,040,541,716,223,822,785,651,163,945,417,473,217,
991,150,348,460,399,526,987,854,484,106,571,570,358,066,190,036,117,505,463,
798,615,390,941,961,994,418,211,711,640,207,690,949,932,575,051,260,853,692,
325,629,916,930,100,160,158,260,055,048,317,504,268,501,159,261,801,405,172,
493,484,700,713,799,492,889,110,893,718,714,058,107,155,213,191,500,180,357,
208,197,258,395,316,055,245,995,543,179,430,360,495,187,163,428,408,292,010,
272,181,152,386,036,375,733,659,723,001,995,388,327,718,342,743,537,774,194,
848,321,660,622,505,059,030,788,392,705,501,686,572,514,251,959,777,411,481,
783,049,351,361,058,333,599,954,322,334,317,878,534,492,544,790,883,335,790,
618,973,383,893,929,423,865,512,162,067,188,341,705,990,178,712,240,054,651,
551,955,552,860,047,598,743,517,370,714,356,713,058,043,412,333,183,994,748,
469,332,075,700,569,947,413,273,274,435,071,986,715,529,403,402,339,277,199,
602,738,412,178,015,885,320,188,311,932,281,391,435,758,320,301,002,135,021,
885,955,082,838,148,635,668,419,120,256,372,438,500,050,947,703,907,358,330,
806,497,564,241,562,331,751,018,562,891,776,822,571,125,493,038,809,959,182,
512,971,727,787,983,662,065,338,656,060,725,371,524,687,276,063,966,386,963,
050,510,438,990,036,048,426,905,543,814,838,619,984,467,341,222,416,783,462,
171,200,942,553,644,756,618,383,026,867,695,647,407,641,614,317,687,626,134,
740,136,462,631,255,317,520,108,156,893,843,020,839,299,438,597,338,805,336,
929,869,791,758,606,707,608,860,628,297,803,520,364,288,718,524,019,642,023,
108,776,239,883,072,599,247,021,026,990,971,719,467,808,014,858,971,760,919,
998,165,802,877,951,763,290,122,211,289,756,728,386,448,414,002,387,931,235,
716,362,987,856,535,069,332,672,381,434,177,019,772,881,505,595,239,359,012,
732,249,830,692,106,743,764,438,205,024,518,752,677,363,933,367,582,951,450,
539,164,412,474,144,439,043,339,955,443,219,451,928,237,261,224,669,023,508,
012,564,625,156,033,595,439,644,664,790,241,021,145,540,960,694,045,926,273,
653,755,382,720,113,323,768,588,312,926,564,968,260,186,509,678,593,895,183,
279,302,815,733,750,166,127,448,432,558,708,020,276,187,614,579,594,242,070,
810,068,068,148,820,681,695,843,080,442,615,881,126,716,233,372,824,068,603,
481,703,682,539,070,865,395,441,257,666,904,868,102,882,535,333,668,261,059,
908,676,015,058,189,065,675,607,293,631,721,227,172,193,657,376,876,768,864,
170,817,189,837,365,586,093,982,659,854,958,925,780,321,855,161,429,324,588,
176,681,216,546,643,317,519,386,178,321,955,704,744,565,303,542,469,573,443,
961,365,871,858,584,729,403,464,861,308,700,233,905,378,054,601,996,981,066,
908,789,593,953,013,215,580,566,702,766,332,506,031,602,245,105,030,732,920,
586,623,421,701,456,405,143,830,242,039,589,570,681,197,042,209,008,689,265,
226,711,196,095,971,536,265,575,027,948,671,149,585,953,059,159,160,942,629,
734,840,395,948,008,103,851,554,507,426,356,633,511,633,538,482,508,924,675,
091,156,898,160,739,652,113,217,634,705,457,352,699,224,833,311,733,028,223,
766,782,303,279,461,891,604,261,976,719,835,485,921,048,032,649,929,010,372,
564,575,925,752,164,720,358,881,998,359,394,023,913,291,096,900,766,829,003,
920,957,351,038,393,476,607,779,934,924,395,294,727,855,831,116,024,767,530,
453,045,004,634,837,334,707,795,945,560,718,837,207,738,687,673,123,158,644,
328,313,764,951,280,612,853,725,521,489,007,555,481,992,934,196,825,938,256,
360,482,940,858,554,558,705,654,129,845,137,087,377,755,894,709,232,591,178,
922,600,314,044,166,641,500,670,198,038,109,544,373,317,988,894,124,034,406,
764,709,441,228,504,402,786,399,279,096,133,040,990,734,238,831,290,381,152,
941,544,270,996,381,351,374,999,640,256,112,231,938,430,895,850,067,459,094,
833,755,630,020,382,110,829,628,674,959,360,877,175,045,721,136,717,766,472,
474,810,411,477,511,690,089,823,101,650,678,291,997,349,102,185,702,050,467,
577,873,095,029,967,368,242,273,577,381,907,166,773,331,568,097,699,511,311,
404,630,463,734,920,178,221,117,531,014,597,442,000,230,532,822,925,052,837,
827,509,915,576,829,716,849,646,670,973,936,121,542,929,986,769,003,685,287,
228,876,348,564,309,202,752,635,993,333,967,374,735,441,546,689,655,208,030,
573,170,515,561,756,338,916,463,495,063,673,322,337,297,341,180,092,874,561,
150,659,134,420,371,383,682,752,325,413,599,174,444,008,150,265,045,591,875,
075,775,034,141,041,486,522,598,338,096,858,319,824,207,380,442,016,754,372,
755,069,565,586,774,219,758,861,940,870,890,628,991,871,464,762,452,568,489,
541,280,995,854,993,672,927,918,407,581,913,983,155,681,815,315,637,156,344,
049,795,545,767,771,733,615,034,907,978,114,900,231,559,713,966,301,810,806,
873,908,050,439,696,404,549,816,597,916,257,611,939,785,755,025,055,602,845,
845,264,382,750,267,886,629,895,162,387,006,998,099,077,319,765,557,362,159,
408,556,546,047,661,219,661,210,126,524,062,886,623,090,969,547,965,068,770,
046,126,233,702,455,841,322,656,335,579,646,848,213,051,847,476,343,607,746,
560,375,892,394,880,447,158,714,369,406,495,873,362,274,671,662,572,455,104,
786,824,180,366,678,524,428,769,814,746,064,267,746,453,138,655,108,330,786,
727,503,716,282,127,833,488,520,970,980,101,182,421,720,268,387,987,226,748,
053,795,048,860,055,566,990,226,259,583,358,281,462,855,898,065,263,991,118,
514,115,029,715,828,072,662,070,015,770,791,021,201,040,615,807,220,390,820,
853,492,701,043,405,966,253,000,302,701,704,912,038,665,232,793,664,563,865,
914,641,750,629,797,949,210,676,277,875,887,382,263,145,992,979,045,366,226,
062,504,700,100,016,732,769,281,758,253,663,394,991,442,816,888,598,110,474,
610,274,769,666,443,461,960,717,889,698,225,448,962,263,872,481,849,426,543,
472,012,153,298,315,062,452,333,634,437,464,698,478,325,406,964,080,671,072,
084,951,951,994,894,260,644,377,699,152,394,846,506,938,248,877,474,869,044,
648,711,952,548,657,866,651,653,989,219,566,212,957,066,416,600,177,152,927,
006,568,224,363,528,456,878,785,812,173,765,260,486,936,790,388,151,003,093,
060,297,068,657,608,675,180,585,599,041,183,329,337,416,119,761,874,110,417,
154,375,181,158,103,486,053,026,852,869,898,392,526,803,399,122,750,957,060,
757,649,149,201,545,338,588,760,210,355,401,197,441,588,808,579,676,606,390,
547,473,257,949,429,159,441,445,506,470,874,058,293,438,536,128,399,652,374,
021,994,506,129,320,416,675,933,075,335,777,185,759,810,974,757,494,492,774,
242,758,300,330,973,007,141,907,338,356,541,360,618,951,288,584,110,234,290,
488,969,083,219,124,530,874,612,508,708,424,014,329,386,541,989,683,502,321,
896,687,451,397,857,200,339,504,674,246,964,127,355,438,538,139,569,387,266,
519,526,899,965,042,199,722,306,849,644,728,221,902,866,653,055,414,234,599,
675,567,212,636,285,893,794,992,080,700,797,847,523,265,249,058,569,441,993,
096,286,581,111,605,542,153,880,365,486,343,211,293,189,040,352,645,677,829,
946,289,529,508,658,772,164,267,863,651,292,397,556,356,809,434,725,605,263,
520,099,093,857,137,815,748,002,430,319,182,657,821,909,508,912,377,016,331,
480,921,714,154,339,860,290,843,037,716,085,707,276,589,193,044,717,125,026,
626,216,990,013,102,278,046,318,894,611,701,942,487,330,766,938,853,231,443,
143,386,160,277,815,177,280,340,477,379,279,313,822,521,117,542,246,862,864,
139,899,413,059,867,675,153,613,940,364,072,556,085,308,894,257,010,584,493,
489,358,831,258,054,936,417,166,001,367,626,996,504,073,456,981,482,417,217,
375,911,887,054,386,137,475,533,181,618,916,941,917,281,600,014,798,718,566,
146,280,074,333,464,400,153,224,949,752,107,820,926,340,628,535,506,024,542,
358,535,105,115,078,649,813,485,204,006,821,829,935,615,718,779,382,429,132,
887,370,706,386,839,563,476,441,575,200,768,901,578,839,709,877,396,092,032,
401,374,439,932,916,103,406,174,693,141,068,539,144,423,890,848,382,298,216,
466,900,736,060,036,829,553,957,316,117,855,086,268,587,148,609,422,003,852,
170,473,011,406,453,012,549,625,031,581,206,711,004,190,554,811,001,523,236,
034,070,507,073,064,898,305,769,356,919,068,887,513,523,111,194,586,551,696,
633,899,544,185,068,662,852,217,794,112,904,317,347,598,425,596,282,944,546,
478,022,255,123,164,969,592,061,257,592,595,771,826,322,233,045,785,157,563,
696,620,982,915,160,543,029,584,033,974,400,506,109,824,694,937,813,022,640,
919,559,525,239,950,349,920,610,819,048,599,644,469,573,407,566,917,129,258,
063,483,718,490,844,252,272,600,498,562,913,835,444,735,870,627,088,812,382,
403,148,413,400,398,311,567,953,490,017,933,186,890,228,046,833,652,860,134,
434,514,087,980,089,608,696,382,219,049,469,462,682,840,611,918,531,959,642,
433,093,081,776,544,311,715,965,209,122,354,551,791,752,460,852,010,690,267,
435,031,493,493,238,818,908,129,516,558,441,336,879,581,821,354,913,949,479,
697,800,470,433,466,545,739,705,948,144,932,888,339,726,720,295,659,266,070,
053,617,363,607,341,852,473,536,386,298,449,691,633,113,447,577,677,631,058,
258,511,738,874,866,823,200,339,403,908,323,432,804,749,920,622,300,452,067,
600,723,923,504,613,279,473,295,794,022,222,479,018,075,059,811,705,214,960,
960,891,763,927,992,180,586,882,188,618,184,323,428,595,468,483,793,654,623,
783,594,847,537,395,471,288,028,275,110,870,365,695,926,420,255,904,296,874,
259,374,139,610,578,568,338,650,852,403,175,460,597,435,694,744,252,753,916,
126,305,054,116,994,043,087,853,190,390,226,569,208,419,804,994,382,181,520,
986,382,499,337,401,086,052,485,989,882,776,254,535,167,003,650,680,584,476,
939,911,499,401,011,421,299,326,310,086,857,808,053,097,039,571,939,341,578,
815,820,906,847,640,353,215,678,938,521,085,643,631,095,202,806,633,981,238,
496,975,310,166,244,188,381,290,633,999,396,592,369,598,306,614,526,670,886,
127,968,594,067,744,610,673,478,778,298,512,581,814,137,576,745,045,346,122,
206,224,908,938,161,370,059,778,515,959,112,085,225,485,913,812,055,411,742,
428,336,316,078,019,563,222,891,818,517,706,231,864,886,745,198,654,076,270,
708,197,990,620,297,254,800,581,963,952,394,949,848,785,827,047,956,978,412,
112,607,420,621,523,520,375,581,080,187,041,291,956,326,246,350,019,081,615,
037,323,240,683,420,331,182,617,112,878,130,141,673,175,429,778,633,350,978,
750,182,569,020,286,096,088,092,331,999,973,049,467,254,964,120,005,006,467,
040,550,412,819,657,072,589,144,570,392,099,916,423,771,123,714,936,063,543,
983,800,917,574,418,740,000,092,127,507,983,741,189,429,965,926,617,210,404,
569,518,776,235,356,199,786,162,132,003,824,175,994,875,144,276,027,955,086,
914,208,891,346,340,091,000,634,894,037,824,605,850,391,993,669,884,675,412,
322,490,271,782,442,406,923,578,015,272,391,397,056,334,580,142,082,395,310,
760,736,391,625,648,513,299,607,344,657,003,386,936,810,391,155,578,774,627,
310,442,715,696,449,681,282,784,564,816,526,629,799,981,656,677,937,012,408,
933,702,935,481,779,706,122,017,639,579,866,711,872,164,811,684,123,054,723,
373,390,791,370,205,576,140,797,454,501,229,573,755,342,129,877,000,482,354,
711,846,250,348,161,621,631,806,073,551,238,157,604,894,892,766,762,251,841,
858,977,784,429,824,283,364,595,712,944,355,944,789,485,614,698,623,116,386,
751,827,394,710,706,755,388,159,592,625,539,770,561,825,564,671,224,595,235,
282,814,550,250,452,159,753,551,870,735,691,308,105,451,446,713,349,185,038,
888,715,453,448,347,449,410,812,192,454,971,774,584,545,201,871,807,219,373,
976,980,017,243,150,580,532,992,624,123,164,811,438,727,282,382,987,234,104,
512,524,597,768,272,635,773,301,620,233,270,974,663,314,449,453,803,086,195,
182,777,750,239,738,526,107,314,805,929,311,793,094,109,844,557,270,229,666,
345,575,745,387,489,721,571,605,791,862,270,655,371,992,051,079,079,970,571,
228,521,863,436,717,902,976,216,919,408,554,745,359,494,785,082,477,515,108,
871,426,141,978,246,765,530,644,881,250,876,888,703,585,222,492,472,375,020,
280,993,467,560,903,178,159,490,418,684,874,198,298,421,318,012,123,431,890,
288,835,983,885,076,113,495,662,825,927,686,511,370,589,402,856,994,900,455,
188,379,698,753,223,156,489,434,215,119,595,098,624,044,412,850,276,744,108,
326,331,542,218,104,658,153,060,209,734,112,734,004,839,037,182,388,860,569,
623,375,656,744,086,310,902,701,036,883,279,807,184,685,262,263,525,898,406,
454,535,967,934,994,187,506,645,851,862,881,827,167,568,212,366,583,819,997,
461,337,658,270,107,779,475,875,851,195,224,564,237,917,921,858,576,268,521,
141,047,605,994,687,813,919,467,749,838,813,734,779,863,848,406,391,821,724,
417,316,593,821,986,717,333,325,048,002,265,687,891,224,783,013,745,053,039,
862,391,960,610,862,036,230,635,459,578,221,037,078,427,789,799,813,630,399,
794,433,705,800,665,451,247,879,305,203,508,003,353,897,900,839,332,029,740,
692,656,541,121,070,857,830,698,964,117,411,654,613,735,689,669,881,132,224,
940,895,451,640,656,020,904,103,305,049,925,831,207,785,325,249,760,629,760,
399,138,937,870,637,429,631,122,394,258,388,731,492,791,464,657,256,978,780,
759,685,036,446,932,704,050,695,298,981,917,903,856,526,419,800,861,153,408,
103,283,441,140,700,769,709,693,729,343,357,016,584,552,134,783,198,973,069,
990,562,052,481,246,204,076,968,423,947,765,704,304,455,443,224,436,803,610,
675,242,365,338,942,582,271,056,648,999,808,573,693,260,105,496,536,925,109,
753,427,794,784,964,397,183,514,565,236,372,359,235,411,152,125,602,172,635,
842,900,852,231,037,227,995,711,771,006,835,646,909,875,293,236,742,598,181,
659,323,002,337,515,309,329,168,109,667,373,947,761,250,435,683,576,942,856,
500,299,871,908,221,900,028,933,097,375,538,905,941,883,383,475,134,916,036,
899,789,623,535,810,550,367,396,956,661,700,456,844,926,343,636,061,688,401,
172,602,742,170,519,488,671,142,916,483,619,323,078,509,256,537,177,349,394,
934,091,608,473,232,399,812,007,269,835,577,558,203,631,529,730,652,846,448,
589,326,377,400,435,561,759,002,716,898,262,641,375,745,894,261,341,392,288,
741,465,753,808,854,207,338,365,928,079,061,142,430,657,180,699,190,885,236,
504,822,950,658,368,342,404,087,973,424,750,051,195,164,840,645,020,708,099,
092,649,731,709,529,164,275,210,048,093,079,540,980,015,918,832,647,488,962,
210,802,587,281,676,965,254,320,121,679,631,442,471,271,041,188,570,641,704,
511,274,350,218,853,801,255,139,882,484,853,253,241,198,450,552,294,044,958,
030,248,473,372,900,806,550,006,293,680,250,332,345,865,357,406,003,568,428,
513,250,703,396,563,525,100,141,376,962,288,665,590,890,856,947,479,677,180,
907,697,771,819,703,145,583,314,161,865,699,808,422,181,267,527,090,907,509,
446,186,469,310,859,147,559,129,096,600,850,556,587,326,238,129,456,003,504,
037,886,683,415,401,305,053,283,082,966,509,514,993,002,712,461,218,373,218,
665,989,851,120,619,034,198,972,052,727,085,070,231,504,600,942,734,456,984,
524,893,736,584,670,979,561,104,834,375,620,653,274,371,187,399,558,314,293,
156,183,450,820,735,755,298,583,243,741,288,787,776,954,421,796,298,178,959,
671,375,488,770,841,334,313,157,271,492,527,211,982,012,713,199,958,271,394,
697,701,537,571,831,185,420,716,873,120,200,218,981,583,379,456,172,914,953,
144,723,808,360,639,396,485,933,358,943,245,057,798,618,361,014,360,724,178,
600,856,435,445,219,903,564,133,973,330,757,864,291,611,221,401,034,242,203,
179,346,805,626,778,749,149,333,871,317,973,813,333,805,295,637,480,714,306,
533,683,467,944,086,845,710,107,803,693,084,015,834,774,334,443,287,534,048,
067,594,495,065,383,139,239,489,784,624,858,694,200,404,481,184,403,239,572,
214,821,612,595,785,752,825,376,608,069,062,549,200,348,177,305,254,450,868,
168,832,268,729,287,962,827,918,267,206,465,950,253,217,411,090,415,925,621,
590,614,877,454,756,352,977,810,163,045,678,077,538,968,484,360,656,303,266,
180,255,801,232,170,735,588,877,349,457,476,183,830,756,964,078,675,679,684,
003,625,875,581,076,781,456,430,641,074,987,023,951,234,152,767,320,031,741,
162,373,801,885,269,773,925,111,463,959,554,525,918,152,941,732,878,606,161,
756,899,007,318,179,632,900,360,507,264,718,030,031,812,750,198,911,098,631,
904,925,780,685,728,023,042,636,052,078,098,657,185,879,205,562,452,557,487,
613,196,703,594,722,986,600,122,093,345,607,226,905,255,479,426,030,709,317,
975,546,839,902,260,341,804,743,888,007,809,353,485,462,406,085,144,188,367,
508,236,773,559,996,281,214,790,448,100,440,553,327,796,107,858,034,929,939,
102,352,124,182,445,452,868,646,621,852,346,098,413,063,213,586,222,930,750,
142,427,761,187,297,652,204,889,688,473,967,019,792,406,800,997,330,689,932,
643,503,889,743,103,662,264,519,026,739,931,864,790,675,145,571,619,554,499,
888,592,072,655,552,590,495,794,757,708,910,248,541,180,513,214,972,146,308,
423,006,311,802,882,286,432,846,112,658,002,501,360,750,040,015,476,339,713,
498,509,180,733,552,993,870,936,425,011,819,358,085,872,279,511,024,505,624,
884,065,572,731,650,659,972,937,318,504,607,088,925,445,299,536,150,499,851,
524,498,994,257,249,776,037,081,087,454,692,611,188,100,040,065,895,048,932,
547,358,222,854,802,086,368,622,671,942,332,502,545,575,777,417,286,528,477,
856,573,809,509,332,292,573,928,380,035,714,501,173,718,049,575,257,605,529,
681,453,426,353,592,431,783,861,408,880,767,902,496,864,492,537,513,578,603,
232,857,176,557,160,878,245,893,164,265,597,018,403,710,519,677,559,022,330,
155,200,134,995,731,641,316,429,948,989,045,368,668,323,880,447,752,449,373,
964,065,272,414,208,206,127,318,090,658,045,336,838,617,588,235,860,637,011,
829,449,401,937,091,129,083,319,977,841,210,776,235,811,680,815,439,273,162,
857,606,256,323,905,705,507,771,148,197,794,568,756,195,937,872,607,507,010,
063,655,128,291,877,477,328,106,038,640,169,107,474,431,048,065,082,005,954,
074,093,243,265,426,034,613,523,197,186,788,743,653,986,494,585,516,226,732,
381,406,844,438,756,438,255,621,999,400,721,313,328,014,012,378,319,720,180,
477,879,590,695,421,257,012,782,126,610,568,808,742,949,062,564,458,442,654,
364,891,457,639,309,000,966,213,695,351,746,779,227,399,306,465,737,370,164,
868,627,427,405,600,596,477,867,800,180,512,782,600,389,296,647,326,996,903,
581,950,989,585,701,845,281,661,245,190,771,842,178,027,426,818,551,823,624,
717,210,932,763,632,047,303,572,847,677,962,874,904,670,342,215,716,959,972,
897,967,414,084,419,545,827,284,092,437,713,640,005,327,205,552,404,907,506,
263,588,649,550,414,704,109,676,816,085,325,163,881,448,134,152,336,674,175,
938,075,935,230,470,880,198,519,183,621,041,174,848,573,259,924,673,474,832,
841,270,041,970,683,878,573,222,855,072,719,358,621,303,432,674,548,273,838,
224,666,332,435,019,137,338,144,713,437,676,608,152,529,596,820,496,221,154,
247,017,206,864,436,321,821,458,296,638,621,881,393,285,512,047,035,684,502,
727,597,583,580,377,149,318,585,467,627,116,585,309,770,467,136,689,632,449,
574,773,410,048,853,338,369,430,174,528,580,238,217,281,781,662,556,322,133,
400,929,640,289,142,624,645,599,365,043,612,319,643,431,598,963,688,563,988,
973,698,991,479,932,328,254,985,718,938,470,193,126,974,146,667,688,840,337,
603,585,275,065,493,929,810,930,407,980,570,231,326,360,872,989,247,966,754,
469,232,625,473,820,425,073,467,891,227,292,176,253,145,488,008,592,080,060,
280,137,717,413,142,928,411,571,259,106,003,158,253,017,900,780,028,173,401,
067,179,135,594,578,288,535,219,738,818,241,587,079,454,033,393,750,400,831,
533,878,738,150,503,478,762,933,412,122,749,281,318,735,203,514,717,276,020,
014,056,526,270,822,090,292,021,606,611,162,962,623,801,110,549,853,837,676,
813,723,993,875,944,093,134,682,533,000,751,606,641,222,165,250,544,076,506,
655,636,334,170,027,766,239,262,044,724,662,579,795,547,546,304,871,079,780,
976,547,653,154,777,858,746,664,038,229,553,767,646,449,831,652,608,823,695,
997,288,621,585,603,920,787,265,263,513,386,255,731,557,568,566,433,613,345,
759,153,057,027,870,846,888,427,353,172,171,836,616,199,408,301,331,125,784,
817,771,393,167,881,894,592,322,074,164,059,571,049,223,148,410,291,827,238,
435,936,064,559,523,926,298,956,118,209,564,781,055,777,182,485,052,280,370,
830,897,740,238,823,628,256,577,672,468,356,264,009,603,366,083,670,393,868,
076,487,314,775,229,957,370,378,936,951,252,591,670,100,189,703,789,246,171,
526,762,208,179,034,896,494,941,962,643,881,623,301,087,022,222,625,843,579,
176,178,234,666,038,445,043,045,548,836,644,256,237,131,504,839,928,995,177,
242,707,953,697,392,285,119,397,596,430,550,326,138,185,740,418,811,984,892,
729,223,596,358,025,864,615,550,147,514,498,455,627,796,677,951,911,632,059,
065,369,744,371,677,223,327,895,686,908,179,148,965,692,772,627,119,116,443,
412,396,844,653,733,390,694,653,865,796,952,200,612,666,505,355,676,299,851,
535,118,574,897,818,625,703,599,456,176,365,928,486,046,970,253,072,700,337,
745,456,265,623,157,388,922,007,121,688,234,428,628,862,657,156,186,254,387,
839,729,120,247,632,617,665,980,348,617,574,982,549,547,608,756,503,704,632,
066,918,179,339,018,001,939,131,250,593,269,608,905,845,373,495,974,882,034,
808,771,568,195,651,134,091,608,985,365,902,336,199,760,666,546,096,271,263,
633,645,844,180,021,048,194,633,438,524,078,633,536,340,587,992,782,668,272,
834,398,920,502,754,158,405,300,522,083,314,152,163,130,306,422,244,912,150,
575,775,631,505,679,431,918,721,442,780,690,588,665,902,884,272,513,694,771,
709,020,973,775,299,739,330,398,711,269,885,936,179,492,258,850,748,014,134,
286,841,011,556,877,073,840,818,318,009,151,450,588,260,637,824,470,466,365,
960,822,160,318,472,515,779,603,239,725,439,197,464,547,526,918,241,912,411,
732,077,829,919,929,321,596,725,622,916,291,426,931,248,626,157,046,729,730,
872,034,376,935,431,805,096,689,821,029,535,784,315,104,234,596,028,571,970,
559,581,615,549,022,489,798,103,640,652,113,409,419,283,998,066,246,551,682,
182,157,593,722,109,488,119,821,603,016,361,980,106,052,653,235,606,039,111,
092,226,379,686,167,864,924,823,659,648,072,290,392,368,474,404,248,978,354,
614,548,072,217,022,245,733,054,042,283,108,488,165,517,662,216,058,131,599,
964,149,379,640,966,941,054,218,273,169,411,042,183,882,733,969,029,878,721,
224,721,183,656,409,101,282,805,297,713,558,591,147,268,171,710,464,401,706,
758,302,503,443,157,096,465,424,224,464,069,912,020,007,820,470,290,305,564,
118,556,604,542,201,069,765,827,867,107,970,918,680,290,370,331,041,283,005,
530,669,114,203,638,955,791,461,029,704,064,030,925,516,428,299,478,370,539,
668,683,607,483,404,319,506,772,045,772,411,303,963,714,382,523,536,336,201,
684,720,943,284,056,573,378,375,561,675,420,878,717,416,822,551,217,253,709,
940,508,268,229,192,169,413,261,340,282,888,493,812,443,115,698,129,787,052,
092,884,241,976,396,819,213,946,999,348,471,758,119,037,409,028,817,359,461,
976,352,680,164,409,035,210,985,612,262,793,188,471,186,690,045,315,993,254,
353,081,291,326,728,043,680,291,321,009,647,407,009,404,974,255,710,831,161,
758,826,300,391,646,498,519,210,688,101,012,140,296,881,943,473,618,982,512,
799,338,891,042,143,052,880,351,976,347,357,321,287,864,133,846,902,770,534,
561,783,533,116,019,446,939,428,497,878,502,253,130,209,461,063,637,739,507,
900,155,065,042,231,402,009,935,391,153,269,880,233,470,284,575,187,777,720,
090,464,321,397,631,285,957,933,025,412,133,308,230,922,553,706,898,799,669,
084,208,441,440,709,113,906,270,686,016,944,757,272,266,263,526,083,933,577,
180,454,676,030,207,626,116,319,855,815,416,947,135,147,629,958,953,974,554,
521,709,630,489,783,797,887,176,302,359,886,924,832,370,976,901,736,839,029,
715,636,707,093,709,432,130,947,040,821,213,942,374,842,569,308,892,490,744,
255,315,209,535,485,786,134,970,716,134,810,875,082,072,239,839,467,237,113,
262,625,287,912,531,564,494,417,544,587,741,079,415,563,129,847,967,201,452,
866,953,762,932,711,859,761,526,408,587,202,911,502,094,031,531,177,393,948,
953,098,078,410,002,773,207,383,877,716,453,699,615,905,606,949,871,658,473,
330,856,768,058,415,736,283,502,161,973,111,179,819,995,346,419,964,403,705,
517,789,823,357,623,175,330,399,227,963,304,051,487,640,020,824,673,192,395,
460,481,406,194,838,150,423,786,233,375,852,898,213,948,005,183,142,254,447,
298,742,446,248,479,776,281,999,498,391,106,129,307,960,976,505,491,586,606,
717,100,919,186,736,030,598,365,479,969,173,280,673,901,779,338,889,128,476,
296,464,915,225,310,684,248,061,686,619,067,114,162,636,987,131,223,498,404,
487,381,499,799,125,466,319,547,787,226,440,860,095,180,470,722,237,670,998,
767,840,202,200,042,105,794,291,632,683,899,206,708,809,950,376,710,487,084,
061,853,729,000,621,916,174,692,082,937,026,431,727,042,659,810,438,902,251,
764,578,866,303,407,939,277,147,925,603,999,785,770,662,799,125,783,488,648,
336,687,901,994,524,787,805,180,923,066,518,227,778,700,308,323,692,994,466,
062,101,484,223,110,508,077,296,058,147,214,737,060,535,702,165,560,114,499,
157,910,329,832,335,858,560,036,481,502,936,150,791,373,332,034,359,316,480,
088,891,646,986,579,575,761,680,453,512,914,645,544,578,746,914,989,827,293,
172,618,193,417,901,904,486,924,152,204,206,871,882,074,822,660,369,113,208,
892,333,389,536,313,675,099,910,221,973,589,376,417,430,347,486,070,215,364,
702,610,630,082,521,404,009,896,711,220,758,035,956,728,096,506,543,654,994,
630,287,724,314,199,177,967,525,365,799,876,313,699,822,020,566,536,176,435,
991,095,409,823,516,696,647,985,012,999,876,277,216,523,265,325,612,873,959,
828,430,071,127,187,706,652,880,716,776,045,383,872,790,720,348,252,513,621,
014,893,085,603,179,024,901,764,220,293,365,646,830,416,842,325,226,212,756,
117,949,465,483,528,184,305,167,868,041,082,784,043,493,485,062,749,637,736,
858,360,848,432,773,177,884,843,659,501,461,235,485,789,880,247,105,660,301,
172,998,528,400,071,258,289,417,941,841,048,640,593,634,491,567,297,168,771,
524,787,410,743,860,064,595,544,292,213,320,256,525,104,008,530,794,553,528,
308,346,315,803,977,628,841,753,669,911,443,578,247,098,911,906,676,265,920,
358,989,683,488,833,340,550,216,819,152,732,307,973,837,399,384,685,794,785,
366,863,101,154,754,594,533,616,011,296,456,028,617,274,452,227,361,928,351,
556,761,337,142,867,774,207,581,429,727,299,290,047,475,335,122,571,749,009,
361,271,653,566,669,774,584,249,344,229,152,554,376,281,995,611,172,657,113,
553,303,742,892,605,998,194,521,027,459,018,398,607,536,927,398,017,371,616,
025,072,831,720,689,572,180,534,352,201,187,911,815,017,321,201,756,688,314,
672,563,579,128,974,246,413,743,701,733,042,157,705,489,935,598,525,672,988,
595,429,283,815,830,364,525,468,596,030,181,785,056,590,416,656,958,856,212,
662,707,949,818,027,248,489,752,419,260,552,422,416,951,140,977,229,273,366,
670,358,378,767,595,269,791,035,958,290,377,244,910,902,390,318,191,805,610,
912,037,702,648,044,830,878,910,051,023,391,235,707,978,324,266,789,725,514,
811,835,538,852,376,233,323,268,700,158,042,622,138,722,262,078,592,320,267,
144,088,878,011,966,311,972,820,486,611,126,856,565,788,406,627,833,608,219,
139,955,591,231,166,684,895,268,752,174,590,083,077,071,736,936,999,906,759,
446,252,089,332,030,964,127,856,974,508,163,241,321,523,329,478,831,988,012,
802,321,930,038,952,384,217,087,014,531,335,081,338,866,670,458,943,880,627,
797,690,866,773,423,366,364,949,752,389,237,017,400,460,707,899,117,801,923,
743,633,955,759,467,747,297,039,309,911,402,128,051,613,391,451,725,302,692,
668,410,632,259,733,868,270,215,319,462,514,443,564,613,966,129,473,126,808,
274,736,004,548,162,143,763,981,467,614,010,663,312,785,913,504,910,084,832,
692,757,948,904,397,473,675,513,511,924,161,548,478,994,324,577,751,466,081,
298,583,381,043,370,204,639,743,673,743,577,035,417,570,764,310,805,521,694,
187,533,705,554,551,708,849,348,097,503,497,221,602,124,096,179,907,408,241,
538,921,482,315,447,625,770,764,315,712,501,600,480,573,145,295,078,171,001,
991,993,909,761,187,394,130,835,054,762,984,922,634,205,103,199,311,702,809,
757,771,144,251,944,372,636,553,394,637,701,827,907,019,582,210,349,028,427,
382,204,425,099,058,801,096,534,707,443,955,602,975,105,876,518,810,441,088,
097,101,018,642,279,203,994,309,711,496,695,964,733,440,150,134,274,034,116,
821,526,462,541,386,182,799,999,385,287,032,838,910,172,042,689,652,780,313,
604,811,024,992,922,968,218,614,648,579,462,676,119,738,288,431,872,679,068,
515,224,001,572,845,115,530,033,782,527,508,040,650,723,234,090,860,837,935,
501,015,688,967,434,703,476,530,060,012,605,928,048,371,544,673,478,847,368,
083,022,853,775,783,987,120,829,207,873,795,008,670,603,838,355,987,044,742,
859,854,634,823,859,468,426,000,469,968,297,546,688,282,050,196,035,987,404,
496,456,924,475,062,874,089,728,328,224,853,578,250,700,195,615,832,711,850,
585,565,879,409,797,286,141,306,055,933,214,911,250,829,314,994,799,410,192,
405,364,945,451,566,516,600,100,058,074,526,189,960,226,092,293,424,512,949,
688,672,250,335,668,272,534,910,466,482,291,782,540,347,152,080,697,949,437,
992,171,097,761,285,839,115,784,734,829,802,077,110,513,834,364,763,323,091,
610,969,016,395,950,061,813,256,945,293,546,696,314,143,238,760,822,847,843,
281,787,923,737,772,411,091,070,674,448,206,786,843,942,902,724,375,806,481,
794,176,625,221,415,772,127,511,989,313,460,316,508,969,621,687,618,878,127,
608,319,079,953,563,204,945,947,520,445,144,611,949,607,329,856,515,709,596,
430,129,558,824,451,502,779,028,370,388,820,558,372,759,396,000,343,206,187,
391,950,894,946,498,677,763,281,284,789,512,742,835,792,765,998,043,133,394,
960,167,440,205,271,325,544,522,466,770,710,443,204,729,094,776,949,894,695,
046,388,989,317,481,424,609,204,160,378,204,014,525,517,993,811,562,453,853,
833,922,175,686,249,536,290,160,485,641,714,057,905,480,693,451,879,292,237,
474,280,266,756,691,973,389,635,772,264,742,402,446,557,230,888,245,969,490,
975,573,811,794,331,842,721,841,888,750,181,343,644,579,898,461,106,828,383,
881,499,610,984,359,640,336,113,777,976,766,490,676,772,909,715,681,457,400,
251,913,024,149,867,861,000,455,244,242,009,056,514,206,995,195,561,684,234,
030,700,291,804,194,990,101,822,709,099,593,059,339,170,134,208,559,508,966,
050,712,597,293,631,222,261,801,329,513,004,017,079,312,755,522,584,042,601,
000,520,436,178,254,884,465,657,692,634,758,070,163,231,633,517,097,053,253,
797,624,744,950,227,329,935,317,215,090,496,662,583,490,841,655,937,993,238,
063,784,783,933,920,210,200,423,148,774,611,436,373,770,268,004,243,769,445,
424,861,026,028,429,966,687,633,111,446,921,897,261,746,517,683,620,556,109,
003,437,455,935,918,554,226,214,578,114,654,522,852,760,789,259,498,348,018,
371,474,997,964,362,360,210,596,186,789,303,268,983,629,552,261,123,209,735,
589,843,121,031,370,039,099,794,936,716,519,972,985,427,895,374,572,341,979,
088,612,030,713,604,319,461,151,224,383,903,439,253,016,027,707,914,121,663,
139,599,284,190,662,706,281,942,016,598,980,927,981,157,083,501,010,717,504,
637,824,337,686,312,796,085,072,964,694,120,625,255,283,874,563,864,603,625,
850,273,584,539,911,185,370,362,143,291,595,988,088,966,423,601,515,462,551,
010,132,585,243,298,877,797,278,101,817,320,703,505,605,540,111,605,973,926,
181,232,267,148,116,499,833,423,504,008,805,224,969,915,798,176,108,274,292,
803,236,852,113,274,623,040,310,005,255,389,656,358,622,167,819,309,245,320,
711,081,547,771,383,221,535,340,001,368,451,828,989,053,951,192,393,313,515,
684,728,339,991,663,494,600,283,054,733,757,434,753,832,069,550,305,919,307,
193,172,617,297,809,072,425,005,751,039,379,069,634,260,995,817,558,440,003,
093,454,746,142,747,511,139,148,656,186,029,084,047,643,198,746,485,235,138,
274,376,813,833,014,423,559,565,434,985,210,828,075,514,142,109,284,663,655,
509,696,557,188,996,122,217,177,323,518,227,986,695,403,179,062,074,724,436,
276,512,741,895,290,103,468,883,307,956,591,291,002,842,621,954,863,481,017,
157,245,395,804,036,584,438,458,361,206,899,933,303,173,488,136,477,650,282,
007,455,099,618,417,872,371,413,078,143,566,481,508,512,892,703,887,131,950,
458,916,006,812,315,451,406,560,125,908,648,110,184,331,444,669,575,430,549,
535,047,961,221,920,659,542,403,931,383,826,431,468,541,943,364,112,636,327,
084,969,296,313,117,311,962,972,746,916,779,985,530,049,149,332,879,991,433,
852,417,258,280,584,955,454,801,406,746,065,958,405,006,229,112,690,146,952,
774,689,750,242,338,865,047,943,912,176,268,921,629,592,873,723,154,552,997,
846,254,220,770,420,086,097,620,930,604,067,686,669,492,585,338,584,269,186,
702,293,027,867,264,637,685,491,127,294,710,634,094,526,995,096,298,737,935,
506,155,842,735,488,681,727,941,575,828,528,505,088,235,494,294,896,243,673,
777,722,629,151,933,325,422,970,679,443,406,893,608,999,235,057,551,215,389,
649,353,106,546,683,650,782,705,298,229,459,000,790,475,207,510,002,558,301,
472,361,294,218,499,219,447,861,451,205,400,662,906,319,389,397,842,308,399,
509,165,522,081,616,289,346,278,792,073,226,583,794,662,122,983,486,949,773,
011,690,133,295,924,198,507,669,799,565,435,836,085,279,009,303,573,851,095,
538,458,598,180,238,388,150,773,513,298,930,159,907,172,099,711,346,884,439,
027,931,874,928,264,022,680,475,925,168,115,156,264,166,480,586,851,754,120,
880,577,636,083,063,107,272,963,197,460,667,570,522,611,703,976,879,120,821,
143,935,077,083,064,613,740,923,585,886,985,842,198,313,239,541,851,443,892,
031,946,681,363,196,618,589,825,837,382,648,460,565,686,944,927,945,579,382,
314,230,472,273,098,538,542,433,664,874,130,579,538,941,430,457,720,329,877,
658,061,131,545,485,377,934,768,344,924,393,604,085,528,102,168,974,780,452,
061,554,164,385,432,812,028,912,824,640,295,007,715,496,690,332,492,731,995,
979,569,831,341,889,106,793,072,744,569,792,757,392,098,651,207,346,259,712,
979,232,676,878,093,774,042,883,172,931,520,271,380,676,805,030,972,746,767,
738,754,851,375,733,835,065,375,993,666,604,260,655,403,413,695,272,007,024,
705,519,501,078,601,942,235,392,908,903,690,487,256,870,870,999,026,414,647,
451,505,640,634,235,178,994,192,134,871,309,245,998,232,747,975,353,940,078,
168,533,823,791,021,895,931,886,794,071,916,787,728,479,949,854,274,345,696,
527,125,696,718,796,797,445,961,279,080,462,822,196,124,918,582,437,617,660,
914,646,244,071,421,310,546,649,011,082,775,606,832,735,966,575,822,663,193,
118,046,305,124,312,451,576,181,379,203,761,591,331,226,471,109,001,133,982,
604,162,645,485,819,180,133,992,282,973,794,647,681,787,177,502,927,814,831,
459,856,128,250,914,734,597,791,545,393,911,628,939,806,577,523,499,188,546,
882,075,700,607,278,049,265,940,402,149,287,793,536,451,880,100,485,951,916,
967,989,363,811,596,430,340,616,164,477,058,530,929,946,198,197,021,877,254,
933,742,659,131,868,011,890,817,299,870,605,058,650,423,740,209,022,362,510,
341,738,349,084,200,583,672,606,339,076,630,687,139,858,373,252,975,705,347,
198,830,786,591,964,455,455,127,756,121,454,550,442,263,500,703,563,646,228,
786,706,606,004,147,883,738,865,654,965,725,765,866,213,389,860,471,767,559,
369,292,555,005,716,538,264,881,464,304,083,894,060,588,736,407,116,877,893,
158,259,583,403,549,308,868,892,092,761,122,385,653,448,760,869,326,174,509,
767,057,519,261,467,454,019,815,898,335,296,861,405,052,595,251,333,965,887,
095,448,607,542,268,443,733,552,929,438,528,723,760,039,146,976,968,666,379,
009,161,913,450,184,674,269,957,862,938,698,983,577,026,970,471,649,088,803,
169,053,880,651,672,933,466,198,566,126,524,582,121,362,693,488,507,363,104,
635,097,844,055,379,200,309,801,839,968,564,214,265,337,853,371,393,571,525,
872,408,495,262,643,069,459,120,104,976,423,854,904,595,049,302,201,690,606,
592,955,353,461,656,789,186,372,626,576,983,062,840,742,171,385,887,335,338,
574,409,185,834,306,423,423,215,509,226,236,317,034,233,707,761,398,010,538,
187,911,972,767,126,140,039,763,562,882,147,540,402,861,198,935,251,869,797,
539,610,192,309,325,044,990,396,917,569,960,731,652,764,102,270,343,916,720,
933,187,421,439,653,115,006,365,682,705,544,190,394,276,671,284,103,959,733,
779,840,016,004,743,426,932,892,950,303,266,580,116,111,361,787,671,510,969,
709,256,114,070,290,059,789,178,924,771,586,051,197,781,074,947,276,395,106,
327,468,472,208,010,878,959,067,356,418,569,465,134,006,475,750,332,531,587,
627,948,031,022,182,095,763,827,501,547,568,758,078,728,215,440,272,579,298,
114,944,750,458,757,066,713,831,678,840,864,233,181,067,154,537,511,044,911,
848,476,640,084,846,751,339,649,415,707,399,434,438,168,149,720,306,966,065,
658,363,861,685,823,510,331,398,394,752,301,956,743,081,911,266,953,774,300,
476,961,840,574,056,210,362,702,874,827,013,743,939,650,752,954,693,034,798,
496,369,699,712,375,387,363,632,057,031,936,958,904,309,424,954,907,265,983,
109,336,417,992,549,125,461,612,041,314,355,293,475,064,062,101,250,615,586,
306,212,369,299,822,357,887,214,448,703,206,651,833,916,647,527,340,743,314,
903,730,238,268,928,000,569,951,034,619,839,348,323,108,063,946,314,234,375,
624,169,408,878,754,227,834,142,764,716,606,899,828,023,669,014,248,807,997,
035,734,934,655,793,747,649,715,678,487,305,962,276,225,491,676,968,524,716,
740,165,903,658,110,816,057,176,826,681,048,024,880,869,848,298,171,325,534,
885,495,572,561,952,156,577,729,422,051,145,766,535,338,783,542,168,926,740,
013,179,689,662,156,528,136,423,297,377,896,329,267,754,480,125,315,702,516,
135,490,146,728,317,522,207,560,093,656,868,999,739,579,106,719,855,351,412,
703,014,278,589,456,112,135,583,929,748,537,222,872,191,421,570,629,502,160,
698,641,287,398,668,287,188,075,878,108,706,453,432,429,015,822,332,381,108,
355,224,397,248,561,754,240,428,068,165,278,260,618,052,797,734,417,374,898,
183,833,241,522,410,808,342,862,185,544,599,066,070,681,667,924,158,220,946,
674,262,980,096,199,151,702,209,651,203,511,494,489,679,920,977,464,982,470,
612,648,216,343,589,845,822,275,059,659,420,950,220,268,621,754,362,656,939,
203,646,872,752,253,142,395,569,929,374,948,502,766,735,765,121,539,199,892,
775,497,285,500,709,283,877,948,452,967,932,200,186,769,935,658,961,244,488,
832,237,765,074,684,940,622,786,461,239,261,879,885,521,578,740,740,833,182,
736,901,360,212,739,272,921,520,783,013,660,350,005,775,150,983,257,885,149,
712,466,536,523,387,288,919,380,697,759,186,047,340,346,594,786,057,142,483,
699,666,058,117,812,351,115,300,027,857,986,846,008,504,050,521,671,412,550,
763,248,875,533,813,215,750,109,567,327,175,218,239,700,115,436,571,830,776,
858,630,921,328,267,999,758,183,535,162,271,498,164,680,238,751,524,717,762,
266,681,482,323,017,637,640,364,420,079,855,533,719,733,882,349,177,190,206,
415,983,636,694,226,667,750,706,392,154,332,753,947,130,457,916,246,745,330,
850,464,099,716,002,146,506,066,090,493,195,073,246,759,478,256,004,421,987,
343,286,035,688,926,669,708,450,642,195,664,760,009,198,836,010,090,969,089,
764,788,484,546,002,890,407,686,312,646,176,411,133,873,751,479,617,136,445,
263,417,078,702,064,950,110,008,175,402,331,286,484,105,543,152,621,370,195,
206,398,202,062,087,141,552,759,152,612,337,411,153,775,246,778,597,471,557,
861,883,576,921,255,752,892,756,012,707,112,568,760,345,777,702,666,361,898,
074,612,494,311,849,249,439,611,425,547,280,377,072,123,926,728,683,643,276,
761,716,044,103,792,581,850,294,746,604,491,098,552,968,617,770,068,652,314,
274,057,445,427,150,896,205,704,439,160,980,947,106,321,665,266,393,298,274,
492,605,478,514,126,508,785,287,088,821,179,598,115,750,070,655,193,256,325,
150,789,716,203,980,577,452,289,699,173,922,834,384,721,853,428,092,628,244,
245,447,910,125,476,614,706,324,541,304,706,364,594,031,604,155,498,915,014,
209,472,129,106,012,033,080,366,108,970,992,621,186,084,999,744,509,357,366,
379,583,721,879,265,364,735,210,427,409,048,671,523,552,801,412,295,318,281,
846,084,462,655,747,742,234,263,067,723,789,758,028,109,121,367,089,734,536,
677,703,865,376,187,433,133,362,432,651,146,325,699,053,170,175,616,646,497,
777,491,320,207,822,055,757,194,757,740,321,291,645,147,717,638,868,966,897,
559,418,063,351,982,604,196,450,053,632,777,541,049,487,210,758,479,287,169,
019,796,038,366,252,436,035,488,321,531,138,125,398,226,859,426,615,337,048,
766,328,402,526,641,653,957,218,733,890,963,859,707,043,625,540,045,762,421,
035,287,300,062,799,271,599,642,845,332,976,683,420,002,868,684,599,309,982,
274,657,407,437,966,568,848,283,329,194,653,398,975,653,064,251,564,826,059,
133,918,052,109,055,257,545,992,806,945,140,601,378,065,750,432,527,075,020,
593,885,107,136,048,432,704,678,333,047,096,835,360,292,836,253,269,243,583,
382,387,101,551,018,647,463,556,573,806,173,731,789,360,967,243,866,593,073,
078,244,563,125,543,651,473,023,548,255,542,741,416,994,631,689,686,163,067,
440,636,063,323,438,839,132,661,017,493,328,639,052,716,424,631,572,262,248,
551,012,394,081,511,917,309,634,237,940,922,338,110,093,991,920,804,841,544,
078,764,182,362,743,457,673,245,745,407,422,008,229,972,402,405,907,272,448,
425,642,872,953,534,472,694,243,616,073,259,820,777,782,739,954,502,965,064,
760,100,055,156,676,431,871,196,526,050,570,916,965,279,668,227,597,641,370,
806,949,524,658,144,606,015,095,206,843,032,829,645,232,272,722,206,419,813,
049,596,593,700,254,744,141,290,257,515,213,425,220,357,396,392,082,091,084,
785,388,756,678,266,377,989,690,055,098,468,493,041,487,223,756,787,947,018,
750,500,400,753,351,277,093,225,641,989,524,096,725,536,546,444,392,872,782,
530,715,592,598,541,289,727,820,533,540,459,723,062,133,772,748,732,937,104,
391,104,826,492,950,935,553,892,712,553,310,415,200,082,753,475,934,586,358,
059,416,154,225,020,679,507,839,261,406,217,584,240,861,014,320,870,258,451,
480,099,753,425,300,661,104,576,453,121,382,292,431,718,650,368,529,169,547,
118,629,190,301,200,873,891,590,728,726,707,097,301,831,157,655,271,673,383,
311,634,196,025,879,175,040,208,116,613,497,720,933,468,609,341,379,482,200,
262,058,328,895,964,136,683,472,574,897,960,635,610,655,028,364,945,720,507,
740,572,274,987,720,227,192,946,684,698,651,523,141,874,931,029,949,501,486,
185,182,069,479,610,105,487,232,311,889,665,685,446,660,348,791,417,658,477,
680,657,471,538,893,161,031,020,552,771,016,695,749,980,071,098,226,126,380,
255,441,299,931,112,128,579,818,505,446,455,162,839,404,829,239,934,636,139,
102,893,851,348,169,107,746,025,067,614,119,547,130,095,980,467,106,975,207,
342,657,780,365,307,127,376,101,049,146,500,298,563,936,133,711,051,556,004,
807,338,395,094,896,282,017,553,535,297,258,960,872,304,855,970,761,302,598,
715,966,626,102,368,821,400,112,898,143,916,750,987,383,213,694,965,902,207,
588,908,116,192,343,655,960,823,357,404,612,823,723,498,740,525,190,122,738,
766,626,972,459,652,400,026,513,669,079,256,846,109,850,531,542,111,669,825,
353,095,264,092,653,886,933,593,282,384,682,998,804,986,693,297,142,154,916,
935,191,188,048,962,426,802,690,216,640,970,276,377,761,223,345,368,804,264,
232,130,014,899,732,192,766,973,542,969,201,782,697,403,385,712,544,254,955,
715,964,995,780,726,888,934,005,914,980,381,405,105,843,353,406,321,634,021,
290,502,939,348,940,661,282,472,244,505,724,205,275,755,627,225,651,670,928,
330,492,518,043,381,136,151,139,854,909,808,093,781,650,493,403,276,388,739,
500,040,408,826,530,860,721,945,040,268,583,979,082,133,006,882,970,407,788,
896,596,754,915,334,897,885,153,651,681,145,139,740,663,581,554,647,094,034,
326,524,380,666,427,190,740,051,155,144,111,234,799,374,116,760,260,272,932,
837,206,379,730,672,190,543,198,998,578,982,340,871,844,015,440,074,676,259,
732,741,808,719,689,450,830,538,937,317,499,875,199,049,289,300,632,826,476,
649,173,451,508,569,775,696,861,065,856,124,775,560,066,004,124,024,897,791,
417,833,178,906,472,399,985,467,494,598,474,532,856,657,698,480,563,124,272,
660,287,706,390,415,994,257,371,359,084,786,721,970,224,028,566,071,475,713,
113,418,666,105,700,414,924,998,817,906,121,376,596,555,526,360,759,567,224,
879,018,159,586,383,956,439,396,103,717,379,020,344,930,473,755,115,748,069,
370,582,317,241,763,204,061,961,024,667,065,040,283,266,228,857,850,664,976,
601,296,304,106,550,740,661,417,127,035,018,095,458,778,516,973,211,100,742,
401,663,866,737,568,198,730,262,875,865,050,729,328,947,786,816,376,380,654,
857,048,510,838,448,531,968,276,928,851,216,582,774,041,463,503,237,779,595,
619,100,620,020,759,222,707,379,975,354,865,771,027,239,333,649,813,886,118,
034,348,074,199,097,517,729,782,937,342,016,343,927,667,762,859,724,703,785,
325,494,745,601,205,206,071,604,122,353,028,852,883,122,593,266,024,616,813,
675,850,807,914,568,402,698,297,910,691,029,838,811,006,805,846,108,909,925,
839,231,266,380,769,707,386,223,757,436,980,585,366,316,946,797,465,129,067,
514,523,481,490,625,469,356,450,897,527,673,266,156,656,701,402,287,702,808,
880,590,107,114,974,488,973,454,524,170,968,673,390,050,461,084,466,766,522,
367,345,944,994,618,526,931,804,123,353,108,709,940,366,781,533,841,749,921,
626,280,386,706,359,080,998,194,396,144,224,082,433,991,331,170,430,160,248,
987,582,161,689,372,081,237,751,695,562,988,646,440,941,936,297,832,834,789,
822,441,322,157,650,726,319,364,273,698,360,676,315,772,913,635,075,886,850,
802,355,372,304,727,663,262,870,059,312,119,637,243,390,758,620,214,330,280,
773,182,073,599,278,587,452,016,758,800,478,615,969,016,275,742,065,482,012,
118,757,294,168,133,516,128,678,180,011,927,182,271,439,149,924,916,621,334,
887,472,300,125,049,408,017,483,049,897,687,550,517,116,489,039,747,511,376,
468,423,908,891,070,305,548,738,602,329,993,580,297,053,216,108,914,642,500,
307,342,970,144,997,036,614,360,389,993,054,233,386,084,767,008,478,278,685,
127,838,643,632,253,130,557,634,087,828,327,725,962,263,742,342,766,863,738,
706,635,678,478,790,621,473,234,589,015,465,688,172,956,801,557,514,742,781,
232,067,604,356,183,117,444,662,041,355,490,587,299,863,200,601,475,455,159,
904,247,731,626,418,777,924,229,122,635,089,491,340,786,043,837,817,279,115,
248,119,399,356,527,545,932,461,832,751,446,150,813,098,764,019,184,475,774,
651,670,392,447,599,020,551,020,007,518,428,778,175,914,290,454,555,496,839,
896,428,656,116,539,382,386,886,409,809,931,943,018,363,957,045,550,656,666,
836,699,906,901,593,138,044,281,525,314,059,844,282,435,624,855,754,609,710,
407,955,023,124,935,804,832,606,978,162,304,980,188,411,517,635,918,788,193,
341,150,695,258,955,049,844,019,667,805,859,425,529,437,566,428,878,908,231,
489,772,929,237,646,043,109,960,454,672,026,023,596,114,025,903,588,377,850,
877,283,081,555,489,154,857,906,595,761,684,931,179,935,566,479,772,080,380,
650,709,956,050,820,657,403,345,449,716,375,486,906,049,152,089,369,584,270,
317,033,254,931,367,703,013,763,003,053,659,562,422,241,503,220,576,745,156,
502,093,175,799,451,520,253,060,638,532,601,709,022,872,871,726,931,502,158,
192,651,286,960,016,259,984,323,129,057,835,932,460,107,566,021,852,569,630,
134,838,509,875,413,884,668,723,170,198,029,800,544,033,957,475,512,966,925,
165,310,472,620,364,836,188,579,673,782,362,904,765,008,233,717,858,685,509,
078,234,556,728,562,695,554,552,845,755,375,838,621,125,704,426,714,313,308,
655,782,418,186,835,574,366,091,078,768,907,359,560,955,099,128,032,007,277,
957,374,946,769,254,715,139,133,258,632,227,199,424,786,213,883,147,306,612,
582,354,940,556,247,659,401,810,383,102,136,474,449,745,689,742,143,523,273,
371,950,005,259,263,205,836,869,354,288,850,390,260,382,752,784,012,423,803,
555,475,175,606,165,561,618,106,338,540,628,349,334,543,831,571,176,365,291,
756,221,232,668,296,837,477,134,093,528,613,591,839,601,002,717,434,543,637,
187,708,915,585,048,106,728,492,143,643,206,757,114,985,364,191,075,113,361,
368,454,570,247,399,756,287,005,315,274,488,169,905,266,399,800,587,856,686,
612,451,475,282,944,996,494,617,332,274,737,652,566,009,566,696,557,515,033,
643,572,808,993,820,873,080,156,431,778,267,203,207,315,091,917,525,827,912,
329,205,303,993,568,834,481,719,338,933,279,461,674,287,839,689,154,439,545,
721,242,206,569,853,974,770,411,713,810,840,785,060,559,205,463,548,522,780,
075,122,923,013,058,731,623,891,263,107,776,475,298,967,575,178,502,976,466,
837,105,676,609,452,261,327,169,511,068,931,168,025,146,869,541,506,015,267,
348,650,413,285,200,043,193,323,088,634,530,743,151,289,128,663,570,677,784,
758,829,275,474,467,871,206,701,794,832,870,301,135,757,132,061,697,310,309,
865,989,956,597,821,385,805,783,558,942,968,531,537,784,300,181,362,159,664,
237,428,036,627,537,149,940,795,043,735,325,144,385,265,874,401,728,748,147,
563,602,040,866,936,735,387,637,742,177,928,407,779,421,301,287,027,337,591,
451,581,862,053,880,820,514,875,401,041,924,324,075,027,492,898,023,647,494,
263,783,136,535,067,527,335,780,701,674,530,894,657,541,167,174,111,657,921,
567,707,400,363,158,158,889,416,942,890,082,161,488,820,263,233,826,505,388,
218,679,652,279,436,154,401,303,948,320,206,619,978,434,112,219,864,823,079,
816,675,060,570,134,910,226,916,001,655,268,635,376,542,538,180,560,401,798,
852,318,817,350,810,713,035,599,194,351,097,575,570,923,109,517,749,548,420,
493,997,197,986,671,242,103,465,993,338,914,432,571,918,412,344,631,335,797,
486,971,310,801,356,789,624,205,534,721,486,376,014,814,931,371,993,162,317,
088,969,231,615,596,569,658,043,300,299,108,825,472,514,857,891,594,321,015,
868,821,419,544,742,576,113,787,926,087,051,774,527,484,320,792,957,250,224,
286,970,366,500,514,624,463,425,105,672,209,792,983,640,174,071,903,098,625,
501,135,154,299,844,165,650,739,442,027,901,588,432,860,345,159,280,388,578,
213,298,017,546,168,826,751,441,136,946,207,629,454,936,540,542,885,879,873,
775,349,692,987,163,958,183,913,693,321,309,281,392,501,501,063,126,278,574,
042,596,819,003,459,062,624,996,960,318,560,151,219,892,801,797,658,206,344,
025,684,335,311,455,202,506,790,208,698,351,846,782,216,898,525,006,567,594,
485,062,802,465,316,487,181,591,804,874,157,877,863,998,510,452,813,786,043,
848,222,894,232,958,108,907,224,294,442,532,344,102,413,106,577,101,764,947,
756,763,500,397,518,564,807,119,424,821,357,636,056,129,138,224,962,572,436,
877,816,648,525,151,580,192,460,709,395,951,462,903,995,810,722,517,080,836,
617,288,440,498,493,422,512,055,195,211,831,361,433,271,498,354,692,171,919,
271,719,698,652,720,648,093,819,109,163,686,521,507,124,089,468,331,398,970,
360,480,852,739,134,261,001,799,965,062,303,420,181,563,193,771,832,692,392,
468,702,021,505,552,781,405,462,491,724,951,140,472,225,635,543,481,503,239,
811,349,396,815,079,869,849,237,650,868,189,618,956,599,328,564,524,302,090,
814,942,911,593,908,590,954,233,196,502,287,522,738,836,284,122,551,425,884,
799,751,907,320,340,360,339,625,306,541,491,575,507,976,425,656,070,434,229,
746,224,147,862,343,374,434,130,283,366,241,390,025,713,734,544,476,924,268,
351,814,631,095,210,050,795,346,642,315,133,212,377,335,654,305,523,076,172,
145,921,630,013,318,170,337,434,263,568,743,937,667,114,814,421,547,983,310,
921,324,409,868,123,324,148,376,622,345,393,550,151,926,555,681,644,669,106,
814,443,062,621,034,182,950,652,519,636,149,988,074,610,423,610,863,244,217,
014,813,777,846,817,062,972,693,957,031,372,720,463,772,819,045,230,935,882,
691,256,979,644,554,552,945,297,571,254,486,380,972,745,259,980,547,913,180,
178,187,268,131,670,926,227,485,976,661,533,552,643,518,681,769,148,724,990,
705,005,745,746,271,424,803,711,267,044,564,547,943,460,986,127,665,467,424,
047,145,104,431,507,641,609,260,135,133,788,069,587,530,750,811,973,981,881,
618,884,317,810,811,556,051,141,790,349,233,338,635,730,957,002,651,003,870,
190,227,362,910,299,226,713,882,147,320,243,410,752,247,009,583,449,051,634,
939,041,248,851,672,258,994,531,235,119,820,718,163,165,229,685,162,602,164,
459,991,784,247,286,822,559,722,153,201,157,731,986,433,263,489,000,301,812,
744,462,926,763,384,583,242,521,641,025,644,846,390,548,716,296,197,767,999,
317,772,725,566,878,081,170,906,291,447,850,037,004,768,470,408,887,313,054,
501,026,840,872,486,962,427,902,707,967,378,808,406,404,484,696,928,762,780,
654,122,733,579,509,724,057,794,352,141,011,598,675,974,199,090,823,351,342,
818,732,326,504,894,470,628,570,882,477,710,286,551,243,908,308,487,796,729,
999,208,751,276,213,846,723,627,216,047,106,020,178,625,930,166,650,466,876,
547,846,845,354,283,650,027,191,220,482,492,332,912,251,681,023,209,178,885,
008,794,454,457,058,347,869,589,982,747,057,556,842,395,214,205,918,184,280,
050,353,181,569,649,752,315,279,628,095,804,198,642,722,272,296,432,386,857,
722,743,838,577,275,374,761,359,092,577,439,547,981,188,044,396,024,257,630,
883,143,399,327,095,858,634,142,671,582,526,876,053,207,206,008,741,511,213,
019,111,522,133,470,005,120,346,489,399,399,908,257,538,382,683,085,698,764,
290,685,337,419,427,358,182,230,729,395,476,134,556,744,098,652,158,990,214,
681,355,595,492,197,732,212,298,124,806,686,252,840,174,921,607,051,282,026,
592,846,920,710,299,098,948,304,767,627,616,728,422,313,305,821,045,868,588,
001,021,673,593,900,853,023,973,657,132,922,388,950,452,629,281,006,208,336,
899,729,191,851,413,810,148,827,736,507,380,824,454,163,825,208,895,921,755,
570,386,853,626,698,361,550,902,545,070,829,820,603,299,451,518,113,182,898,
375,597,527,015,662,848,989,609,833,087,056,524,259,093,985,347,905,031,219,
879,408,570,320,283,083,516,529,102,177,956,468,825,028,129,443,849,412,499,
460,347,280,517,462,944,494,701,305,756,107,712,652,718,046,863,897,292,254,
465,983,966,154,344,390,638,227,376,785,134,618,132,225,583,056,707,109,793,
235,489,583,804,327,531,992,183,096,221,161,148,622,137,054,386,984,062,924,
066,909,314,099,305,667,001,873,445,515,877,567,359,981,838,701,175,625,333,
030,663,889,976,864,446,751,825,152,816,947,102,152,767,673,214,873,186,200,
377,131,221,148,290,294,060,101,323,611,318,472,244,649,780,161,655,326,192,
207,698,953,825,217,636,004,867,155,718,313,129,941,374,012,883,523,677,205,
835,223,323,012,622,256,003,082,628,885,617,326,620,124,116,905,402,971,550,
012,449,377,828,082,607,719,112,867,006,233,243,398,350,816,763,003,506,700,
778,015,146,813,034,911,823,040,014,968,765,495,101,002,129,288,155,051,006,
388,400,062,166,595,664,761,181,013,154,000,274,919,426,635,680,421,277,343,
800,738,560,282,026,214,660,493,003,337,834,301,833,780,286,054,276,321,555,
484,279,708,877,568,451,047,317,783,983,059,940,832,862,709,542,108,394,414,
522,285,557,373,186,790,304,413,573,376,709,031,903,767,073,938,818,663,605,
802,310,703,579,735,442,883,721,443,533,067,051,959,554,975,412,115,082,689,
923,848,065,786,431,765,041,119,310,903,760,324,839,367,941,414,698,107,559,
939,941,408,421,801,379,174,540,932,886,810,916,409,115,532,218,575,065,363,
013,933,614,181,845,896,282,971,253,538,035,308,454,497,810,498,223,959,301,
169,984,839,568,636,724,537,797,568,716,780,081,793,004,072,027,124,860,107,
502,967,866,242,688,077,343,290,756,869,503,638,313,648,124,735,149,474,174,
212,013,877,907,238,067,757,415,773,831,599,263,348,943,374,904,865,438,177,
502,604,455,364,595,199,566,597,204,679,444,134,175,444,655,761,545,497,034,
547,610,043,231,029,322,510,619,452,591,227,138,380,113,788,488,601,939,176,
808,557,697,230,864,258,068,936,432,687,763,216,393,416,733,378,732,181,598,
134,387,852,965,061,026,577,750,487,760,179,026,011,299,872,682,648,290,063,
193,047,099,467,690,669,191,311,636,816,682,023,473,283,376,384,671,172,218,
662,090,735,214,772,730,604,485,180,343,648,084,932,094,478,560,108,954,459,
631,395,371,864,833,921,801,607,895,400,327,295,741,703,946,985,716,164,744,
880,665,988,343,628,580,328,525,769,965,867,813,809,657,943,483,208,713,345,
446,242,922,577,958,403,853,741,436,479,253,586,851,282,069,376,543,654,155,
018,520,785,166,110,681,245,491,924,540,246,509,032,657,727,463,018,827,662,
213,901,995,466,786,892,992,385,718,105,462,414,075,602,479,612,836,915,064,
689,517,280,247,166,411,847,751,485,238,598,988,964,482,753,675,831,878,743,
859,631,316,042,956,927,780,191,863,541,113,529,668,912,062,160,230,448,651,
082,096,208,971,070,713,559,804,252,042,555,583,130,655,462,386,451,697,936,
406,020,799,931,957,532,402,069,151,107,705,344,108,409,395,474,561,191,049,
761,429,107,913,735,805,881,566,221,269,094,240,422,814,992,275,994,883,218,
598,809,618,590,970,437,834,574,266,651,556,453,816,269,224,086,300,509,578,
060,590,096,043,596,367,396,050,172,350,749,363,401,638,782,976,516,974,544,
128,031,300,997,589,426,669,266,862,226,531,276,396,745,710,470,053,519,441,
434,453,483,398,405,799,524,317,029,227,686,739,105,511,806,467,408,150,404,
021,668,056,510,214,564,295,257,567,298,694,351,860,532,533,232,800,935,164,
973,999,428,926,669,014,948,343,803,201,867,858,180,143,418,982,387,056,484,
619,445,188,874,802,411,802,382,000,629,915,536,708,847,041,285,385,306,835,
600,431,778,311,255,742,759,260,676,642,777,956,015,931,613,602,684,365,757,
643,592,128,503,451,268,414,974,711,908,300,647,307,452,072,321,000,665,580,
960,736,920,641,776,240,972,187,372,624,273,902,065,746,616,500,433,358,422,
739,497,403,531,828,684,433,114,812,009,629,228,728,489,873,428,895,090,424,
039,935,041,622,627,847,428,979,288,697,014,013,139,945,044,358,995,244,806,
784,047,314,713,635,750,660,181,213,398,489,802,286,457,829,488,873,150,220,
425,591,073,684,913,925,606,026,697,199,233,897,971,613,733,208,460,312,561,
778,405,962,235,182,645,813,071,980,724,193,372,321,080,075,758,091,110,525,
253,589,710,014,328,571,892,960,089,144,886,129,392,693,610,251,078,217,222,
418,578,164,291,248,169,246,035,558,697,031,886,336,028,089,133,634,416,509,
027,562,021,848,792,019,450,567,349,397,720,556,103,734,736,194,848,712,614,
376,739,334,189,911,117,409,414,887,612,795,721,623,669,403,379,307,930,229,
965,021,384,716,092,968,294,681,510,633,177,934,822,869,233,357,490,425,789,
795,604,898,009,279,421,504,263,231,761,644,122,708,512,707,393,935,656,433,
588,131,479,197,463,896,726,062,423,508,619,584,298,175,071,920,214,943,468,
968,409,849,644,116,963,443,589,844,034,738,559,359,134,660,479,369,144,853,
379,932,460,323,587,589,054,209,635,581,178,964,231,726,881,933,693,405,569,
815,569,586,536,356,507,491,498,483,866,349,434,099,634,541,322,694,448,093,
225,769,061,011,860,506,345,891,162,520,594,280,068,278,504,283,548,798,034,
867,395,145,703,242,361,383,379,231,611,699,247,767,378,870,916,782,912,219,
326,679,501,820,334,846,683,214,477,527,469,642,365,670,443,295,281,745,842,
823,875,994,968,714,115,019,901,156,065,449,977,676,891,326,313,154,466,148,
569,660,964,824,713,443,870,039,371,426,055,311,742,292,115,848,879,112,140,
281,855,177,481,146,820,737,124,436,202,970,909,226,976,450,187,547,849,539,
602,044,562,889,695,347,596,446,581,357,285,438,521,315,552,146,639,216,097,
509,242,737,259,705,825,569,364,639,603,902,350,171,474,673,649,660,365,590,
268,316,407,905,258,047,281,257,297,985,576,725,536,907,643,607,275,206,694,
521,984,605,032,592,930,343,383,672,861,808,904,463,910,716,207,208,601,014,
585,479,494,070,612,671,861,551,230,685,180,635,775,464,939,974,582,624,695,
060,007,725,121,808,623,814,707,304,650,033,831,958,285,204,208,264,935,988,
229,866,923,063,607,379,609,787,168,590,629,985,767,724,330,056,568,261,786,
892,674,090,515,021,410,975,819,015,837,014,235,984,095,585,462,437,076,348,
653,364,280,227,713,145,363,576,082,509,543,966,264,299,100,507,692,970,552,
503,444,916,732,334,458,960,305,668,283,025,054,556,326,978,931,939,600,242,
268,852,637,407,435,301,898,791,024,150,644,624,062,256,498,804,576,111,206,
048,610,760,480,728,635,590,171,766,319,692,589,743,548,185,491,210,415,620,
813,837,296,063,422,340,136,869,107,858,731,308,267,499,923,372,933,367,794,
922,378,654,143,754,433,832,349,609,527,298,539,713,725,863,199,929,561,012,
982,564,851,819,531,142,433,686,119,525,614,772,103,573,290,930,259,092,662,
174,849,579,021,535,315,115,742,067,028,968,815,217,365,340,568,770,466,408,
782,994,758,972,291,736,395,167,960,318,523,624,215,070,460,738,869,234,251,
975,875,518,083,572,711,380,684,058,321,274,497,709,967,389,800,669,869,822,
869,390,954,249,875,660,977,350,912,872,023,743,146,961,278,652,285,453,640,
226,094,273,965,689,487,576,180,689,841,436,575,181,930,839,102,353,945,637,
047,260,832,605,280,415,177,898,310,228,349,557,795,250,755,987,097,639,935,
350,509,368,866,733,684,743,474,074,958,457,618,170,648,726,786,551,747,623,
471,034,423,577,970,757,148,382,055,167,691,898,406,896,104,925,300,376,861,
078,579,408,746,336,996,471,018,861,761,860,263,316,068,994,274,245,948,354,
300,499,865,118,731,491,616,319,676,456,445,834,017,136,961,772,148,929,885,
650,256,842,821,516,874,644,892,224,274,504,978,611,233,831,388,984,176,036,
782,402,574,251,249,605,856,482,168,341,965,371,166,265,824,639,224,430,840,
020,324,393,882,577,833,277,347,491,377,536,558,558,208,708,217,985,355,467,
110,682,344,297,214,081,417,406,380,373,945,340,740,537,588,983,552,120,052,
377,930,954,147,986,659,009,021,190,554,493,059,011,887,576,135,157,284,356,
211,632,607,577,290,263,604,604,383,857,158,095,353,350,531,900,059,107,622,
070,415,419,392,512,501,349,541,369,509,045,479,988,401,384,013,980,058,493,
337,765,832,781,834,457,718,896,583,527,260,464,412,520,377,060,863,675,865,
002,597,309,952,942,980,815,266,261,524,749,074,931,478,521,240,447,526,442,
085,848,913,178,634,176,197,089,583,464,424,302,899,543,841,394,771,050,801,
723,930,403,651,790,531,209,714,824,846,735,759,869,892,178,301,963,122,822,
956,871,340,311,358,541,095,395,792,241,848,454,755,583,279,707,256,490,467,
322,757,338,530,729,725,495,682,700,721,451,454,118,409,104,512,926,040,896,
027,142,408,644,633,025,312,873,742,775,741,057,344,854,889,445,602,374,001,
758,860,852,627,002,835,426,334,776,520,955,116,984,029,388,621,297,644,684,
822,039,029,964,629,699,228,556,426,580,290,950,993,614,640,212,493,320,355,
648,010,692,600,643,835,579,964,670,441,066,511,241,387,230,899,271,202,106,
891,119,584,027,100,669,413,587,355,070,896,440,561,577,353,814,246,715,748,
088,411,679,519,582,198,330,567,583,572,840,861,894,977,557,177,648,966,403,
435,290,362,664,304,299,891,019,843,641,671,790,001,587,071,037,885,334,430,
303,539,762,656,696,365,814,674,328,249,028,554,442,192,209,141,241,068,848,
732,360,177,591,700,625,898,609,603,874,468,899,498,665,282,740,032,639,750,
326,611,002,023,687,479,004,184,040,657,763,249,542,964,400,976,575,623,399,
414,940,685,231,312,465,658,712,294,161,538,694,064,572,639,245,042,079,667,
294,307,159,366,611,572,371,870,703,769,912,571,570,328,558,045,718,100,691,
266,128,501,598,324,991,371,131,749,074,944,023,881,107,727,958,126,913,545,
060,155,813,111,780,326,568,387,824,370,542,774,424,165,095,080,786,109,836,
363,037,759,435,944,208,696,799,169,891,837,626,526,578,934,124,862,901,122,
487,780,995,665,630,120,442,615,094,718,689,021,559,499,900,753,951,682,544,
456,497,175,511,350,726,360,699,742,657,681,385,541,792,439,739,262,528,717,
359,020,887,687,287,357,833,640,387,209,524,295,681,471,075,820,174,730,451,
097,830,351,845,272,088,072,171,986,386,042,106,875,886,306,821,020,699,018,
856,448,278,775,581,090,885,481,969,459,329,015,955,223,431,672,383,264,377,
614,490,820,440,067,779,540,500,135,638,566,554,518,129,049,462,461,545,595,
577,773,523,904,800,593,598,800,339,975,921,187,488,305,538,925,584,377,558,
183,901,919,358,306,028,833,121,881,685,914,459,782,314,931,962,731,460,264,
221,958,891,872,548,644,182,325,116,162,288,944,117,976,357,148,579,380,673,
624,094,866,805,613,383,707,815,642,370,563,513,328,646,172,847,229,455,290,
059,070,389,342,216,158,680,651,649,753,357,034,395,642,046,505,527,823,809,
745,962,834,950,854,093,136,594,844,079,164,145,809,328,835,889,747,672,193,
849,797,201,265,832,210,059,554,293,030,997,716,520,966,435,040,205,499,878,
125,378,265,219,289,368,729,866,489,942,105,241,556,108,634,391,522,312,015,
632,208,974,478,439,177,482,776,779,326,097,517,265,033,379,358,436,042,827,
388,719,242,141,645,425,770,240,450,278,190,013,926,839,023,961,856,663,062,
366,676,306,535,570,187,005,478,752,593,252,069,137,431,051,212,007,402,604,
700,954,051,035,625,822,913,676,584,618,388,871,895,729,413,739,603,463,099,
569,242,123,197,524,947,078,177,337,395,126,659,974,124,541,212,795,440,352,
944,292,652,450,510,748,069,371,157,642,948,515,790,820,225,477,324,759,857,
251,156,943,475,034,241,062,317,682,859,055,918,434,900,561,453,179,581,966,
202,575,389,088,343,791,388,009,184,693,385,771,356,132,746,768,464,909,875,
244,015,627,688,697,327,549,820,362,891,712,925,182,376,761,358,316,604,094,
343,119,467,457,397,535,102,270,721,401,030,999,032,316,366,404,056,818,794,
741,934,162,827,925,305,720,097,897,170,635,058,915,234,703,480,277,268,645,
808,546,034,368,058,543,518,963,722,908,049,066,915,447,984,711,108,890,849,
792,528,029,591,074,265,238,464,314,679,877,068,624,315,851,223,106,565,711,
176,361,841,652,076,298,637,349,504,014,172,712,737,985,022,285,902,806,904,
782,315,963,464,250,062,689,847,828,584,392,286,396,038,767,072,073,292,301,
983,877,858,138,250,619,939,994,131,686,840,406,578,398,412,622,350,466,793,
667,711,290,154,016,658,387,397,195,398,459,916,942,417,902,895,610,628,758,
769,945,690,853,868,712,683,443,524,561,845,350,659,964,522,926,274,949,099,
157,063,313,967,275,563,060,965,040,891,045,901,415,942,385,090,885,006,276,
926,364,497,124,090,772,567,355,009,757,515,700,716,217,424,449,832,716,243,
612,262,375,640,094,503,357,065,781,437,288,195,109,176,500,254,116,837,218,
444,392,952,892,035,268,280,576,579,681,248,380,157,802,291,432,085,851,305,
003,461,306,687,955,306,746,710,510,213,700,977,995,650,692,668,434,285,528,
375,695,929,074,851,051,543,129,777,687,120,776,984,450,017,943,732,639,904,
150,855,585,394,736,443,577,711,314,186,152,304,548,247,684,618,247,660,962,
771,528,106,182,171,660,589,952,270,438,400,565,113,362,815,115,969,432,955,
833,215,244,265,494,324,966,648,951,161,740,113,725,530,976,882,063,083,934,
895,563,703,325,589,773,317,611,419,475,779,959,416,801,166,883,960,761,227,
930,647,375,321,633,755,886,532,627,352,348,165,623,103,429,998,470,439,200,
988,770,058,620,897,860,779,298,773,941,223,628,198,615,044,675,607,497,683,
550,723,670,263,221,500,784,951,130,277,866,796,320,141,043,004,285,954,093,
274,632,174,784,636,794,083,781,537,299,611,259,574,813,158,097,669,966,412,
167,954,329,102,892,398,751,380,231,056,829,448,985,405,930,381,505,270,603,
779,414,677,472,931,035,815,805,768,401,063,036,249,486,513,724,073,067,324,
486,014,171,627,742,840,941,412,909,795,576,485,127,009,861,807,465,323,504,
109,306,579,132,307,545,070,525,020,866,474,787,336,347,425,318,935,992,835,
045,623,785,499,335,163,971,633,647,894,792,867,880,810,343,060,070,419,756,
975,924,547,824,103,174,758,641,658,121,481,239,736,361,501,933,500,942,513,
601,878,253,723,143,128,760,683,346,188,358,503,459,780,562,537,332,786,542,
088,557,479,005,747,911,875,134,275,054,801,157,022,929,889,134,712,381,448,
743,290,288,533,267,016,748,716,918,075,776,408,535,406,726,346,819,807,331,
522,742,401,940,252,501,090,610,611,578,401,809,688,718,121,769,338,544,930,
439,231,392,987,025,924,849,096,602,876,656,028,391,307,665,079,426,887,870,
396,667,325,412,353,604,346,841,020,921,196,741,461,235,159,637,212,368,980,
861,157,775,110,523,841,199,951,673,540,247,941,418,395,201,396,708,866,269,
992,455,958,049,894,914,957,921,806,533,401,529,324,716,571,816,070,745,454,
030,809,338,331,870,044,156,313,361,452,370,723,775,880,926,705,266,616,172,
071,442,306,274,787,704,394,711,611,479,076,073,946,492,930,093,837,959,750,
618,453,753,223,859,280,374,056,659,709,468,961,771,275,734,795,276,592,301,
997,660,567,896,965,531,391,567,479,184,445,385,512,800,174,628,591,442,536,
164,682,354,727,232,992,415,064,459,309,600,144,341,253,910,364,173,567,590,
585,031,561,722,985,358,077,198,307,912,419,101,265,933,295,388,480,352,072,
836,040,805,212,022,699,491,507,238,198,684,650,183,021,893,702,275,875,208,
779,101,398,887,272,901,496,913,920,199,592,545,493,702,604,010,178,061,171,
794,813,277,956,449,587,006,909,468,682,395,274,670,796,753,657,000,099,696,
289,439,800,393,652,260,735,950,920,435,978,836,421,498,275,308,058,375,552,
720,371,415,203,441,531,487,223,249,990,324,349,717,745,382,402,715,270,918,
979,910,600,054,624,205,807,052,891,335,072,878,682,628,772,577,666,121,812,
869,300,416,402,007,218,405,517,121,351,842,715,249,338,617,765,089,779,102,
760,830,819,937,559,801,521,573,128,754,171,499,321,341,750,955,064,391,386,
625,892,120,258,941,210,078,139,633,673,365,148,225,023,077,671,170,727,718,
822,423,775,946,485,606,811,797,780,956,998,482,092,122,653,268,934,936,006,
812,347,240,742,731,131,612,369,707,063,218,949,371,588,837,811,813,759,670,
441,631,414,820,935,290,664,582,180,812,298,628,601,851,487,185,713,813,577,
587,819,875,308,359,047,590,927,333,748,491,278,236,757,558,186,564,550,268,
900,123,230,182,388,994,807,877,422,137,316,044,566,806,791,873,805,577,062,
761,992,398,767,500,179,507,080,948,480,634,539,488,361,164,231,289,167,734,
928,613,848,598,935,206,036,548,311,357,462,508,542,795,015,614,997,976,266,
838,323,459,605,288,785,546,054,917,024,372,487,120,364,779,793,979,825,057,
302,023,239,564,131,486,766,227,185,933,964,369,994,806,441,411,230,402,610,
047,302,822,792,214,007,068,382,771,845,494,731,232,559,826,790,824,573,262,
067,974,159,292,736,569,018,586,120,334,992,635,313,218,088,489,492,711,299,
925,589,359,051,117,615,926,819,899,599,772,130,358,171,979,936,285,429,598,
647,184,243,867,705,173,231,712,255,292,058,547,342,134,317,949,126,987,372,
253,942,722,458,858,018,831,509,162,702,592,906,269,268,886,305,569,345,259,
970,362,209,309,112,565,661,176,954,869,816,384,312,099,658,896,454,975,395,
657,858,340,956,003,760,645,439,704,620,731,971,419,829,431,645,733,786,388,
412,027,517,005,830,080,992,854,683,248,442,692,676,935,467,882,855,240,415,
079,632,665,203,808,968,110,963,659,122,564,509,368,897,488,702,988,316,898,
708,371,270,654,228,088,653,371,257,445,951,013,673,740,017,206,277,670,309,
279,957,256,056,036,665,816,864,373,156,942,597,167,284,939,436,741,694,476,
701,598,871,402,470,888,584,279,202,805,209,776,062,134,071,470,731,472,682,
709,867,811,627,096,966,431,215,897,656,835,191,619,516,141,242,122,029,608,
367,188,074,568,366,572,444,135,812,057,791,656,832,592,231,807,949,369,272,
766,926,400,385,864,360,693,482,418,253,460,908,209,280,195,320,452,036,466,
530,647,168,565,892,887,391,561,467,444,816,493,893,123,856,345,375,339,028,
133,548,608,959,360,247,697,405,865,134,604,721,211,134,038,770,405,588,421,
320,864,420,514,430,670,642,476,149,739,058,311,722,738,228,143,639,657,383,
270,771,385,813,047,535,641,817,410,075,382,903,349,854,119,336,274,099,736,
568,545,860,263,447,002,703,526,376,845,005,805,108,081,569,476,474,535,073,
672,372,172,133,539,009,213,155,383,736,131,833,084,513,772,045,963,606,894,
376,285,038,871,447,944,044,200,034,652,254,499,087,761,518,033,249,428,588,
142,290,438,292,998,065,405,079,116,484,603,131,600,584,010,693,452,368,851,
136,101,707,150,419,465,274,665,412,574,627,725,233,910,319,597,243,046,308,
236,541,083,698,923,822,562,986,728,805,099,751,334,431,665,937,367,998,885,
262,793,196,065,849,223,371,190,578,184,051,096,282,991,863,394,743,020,771,
891,650,199,442,892,370,944,593,165,487,769,480,479,149,777,757,282,685,958,
882,356,998,436,582,436,005,522,640,167,133,024,155,411,910,830,185,316,157,
944,853,945,867,835,774,089,697,627,222,667,704,835,619,164,745,173,659,860,
824,336,700,033,342,939,394,391,766,148,568,541,653,677,688,703,942,771,605,
690,756,659,108,960,386,993,949,540,567,780,232,261,167,583,134,365,547,885,
451,796,602,540,908,801,201,996,966,558,195,755,051,757,347,145,254,000,783,
835,220,520,067,583,398,010,349,890,600,076,092,898,633,114,233,769,640,113,
140,714,458,158,949,956,370,725,043,986,664,959,064,996,278,522,198,524,150,
331,628,734,768,953,663,012,159,461,413,500,713,505,552,348,854,275,750,999,
196,153,685,903,772,799,483,414,100,112,229,082,964,373,516,079,578,624,282,
529,034,197,662,367,545,616,854,606,944,706,373,087,595,337,163,948,591,988,
555,555,723,756,418,490,940,783,291,282,580,133,387,853,830,914,588,320,833,
112,052,347,133,919,331,801,127,942,340,226,553,019,203,854,393,630,357,520,
152,981,644,560,807,484,347,692,838,786,068,057,056,602,931,314,920,140,934,
523,826,505,785,027,840,099,382,729,330,101,001,982,700,601,367,815,718,037,
619,477,620,457,494,810,257,684,250,152,844,507,769,784,041,260,439,840,302,
930,827,501,710,705,778,250,322,442,319,929,923,610,576,008,315,580,119,501,
761,520,218,634,496,176,739,233,549,862,247,810,004,561,982,852,116,226,356,
752,600,332,373,584,994,937,791,222,322,024,334,477,642,856,262,062,002,264,
053,395,355,753,727,530,059,313,711,412,508,961,840,104,030,690,192,980,173,
873,911,306,428,377,048,633,944,224,714,563,428,306,159,543,967,614,171,646,
152,691,021,603,892,922,822,014,169,731,318,399,321,748,084,352,810,149,614,
506,798,459,184,960,081,591,500,460,523,961,870,720,433,786,473,692,631,004,
746,909,361,389,457,963,281,391,391,914,718,685,282,327,087,591,592,644,245,
371,320,326,286,280,729,328,518,355,136,898,119,504,797,733,045,853,705,602,
311,850,063,283,643,474,558,350,943,796,789,563,819,688,604,355,832,311,748,
979,564,668,416,318,986,751,526,273,868,850,731,813,807,018,968,414,869,770,
301,159,449,752,129,958,136,512,780,244,211,379,037,349,893,736,921,816,248,
403,355,264,672,030,794,791,988,256,096,330,529,412,070,927,429,934,013,992,
684,212,363,718,651,608,114,660,716,804,944,308,281,824,217,411,268,892,923,
860,691,726,418,085,204,933,531,870,027,146,032,651,823,666,463,599,197,560,
205,925,052,384,710,002,670,382,330,655,904,690,441,740,206,494,531,994,143,
250,434,384,596,599,909,105,169,427,030,809,909,398,996,376,725,044,874,005,
295,446,467,597,957,705,468,229,153,723,759,493,466,252,439,254,817,454,255,
808,333,562,612,744,762,943,480,016,403,737,479,887,731,641,904,056,573,070,
640,123,004,743,990,719,080,119,277,577,075,537,184,818,985,050,487,797,109,
340,621,977,292,143,547,977,950,958,533,490,585,689,436,844,806,973,398,241,
655,710,786,134,715,679,108,281,413,079,448,367,100,158,889,700,225,691,547,
109,834,138,954,424,969,924,001,171,859,813,224,477,564,532,394,116,746,930,
411,122,768,033,906,185,615,576,067,786,113,372,076,433,595,532,699,549,832,
570,982,329,307,438,561,156,103,820,580,821,995,462,687,877,384,392,074,484,
088,000,753,725,551,147,850,447,615,641,380,696,598,657,472,288,814,360,189,
252,393,090,956,531,951,587,901,717,986,495,092,209,693,106,922,525,490,693,
469,123,544,200,043,759,120,073,145,998,340,977,288,404,628,826,858,502,284,
220,472,717,999,892,792,413,227,279,881,995,108,389,045,324,140,306,427,929,
586,735,863,841,469,540,341,366,421,083,893,092,933,831,982,468,442,760,394,
147,100,892,678,625,811,669,749,080,833,172,357,887,879,922,257,918,671,187,
610,722,009,901,608,813,272,894,009,563,502,833,812,511,090,404,347,722,301,
922,339,199,111,991,665,492,516,760,186,493,904,947,763,067,609,652,621,457,
200,232,562,215,476,303,645,616,210,014,983,835,321,327,154,588,270,895,761,
105,262,190,377,431,543,504,517,661,797,069,233,551,600,575,782,091,640,980,
278,942,529,846,349,503,647,139,616,288,823,215,869,482,335,515,000,396,793,
826,579,295,122,538,817,159,644,700,890,436,051,718,937,684,006,681,833,871,
616,047,899,261,294,972,693,260,160,003,028,728,481,321,210,985,009,348,600,
163,012,611,672,020,505,667,138,481,833,943,512,587,646,059,144,586,232,668,
281,865,457,750,572,602,035,811,602,248,662,260,631,183,700,764,389,481,321,
554,281,656,580,763,207,438,397,061,413,554,733,543,164,332,280,494,187,220,
586,914,944,983,789,634,208,003,590,065,862,754,000,604,301,294,277,218,342,
062,121,975,053,090,335,729,651,362,788,028,519,941,168,787,265,435,446,115,
662,301,641,134,083,173,583,069,214,035,681,362,866,133,522,590,008,039,624,
110,226,889,248,625,334,719,672,476,038,317,534,120,129,868,771,233,380,784,
041,290,709,342,776,357,809,832,098,741,543,701,083,765,299,503,784,616,294,
723,452,819,567,745,735,052,438,576,675,135,712,381,919,262,075,034,632,800,
711,984,609,452,641,689,295,952,396,162,876,082,531,424,549,466,629,228,627,
356,058,577,357,370,425,825,152,743,277,641,889,338,325,996,032,430,861,113,
586,685,160,962,565,927,453,524,996,621,513,036,378,208,122,880,733,320,410,
298,132,678,841,615,567,292,235,720,267,330,011,518,038,762,750,780,614,144,
308,778,572,576,281,203,942,723,246,447,756,625,563,305,767,263,215,601,974,
288,392,937,448,885,375,188,268,446,920,723,102,483,463,001,200,288,051,154,
145,249,039,821,178,765,332,143,142,654,579,385,543,500,108,010,439,866,682,
267,532,461,648,920,018,639,697,594,837,233,174,286,623,976,249,573,401,049,
942,816,096,577,868,977,180,255,941,211,433,199,803,431,583,612,055,886,240,
807,669,630,596,380,327,565,788,742,616,325,233,947,234,846,464,223,524,687,
329,507,518,098,915,753,845,745,465,664,776,024,983,498,305,995,274,562,946,
398,244,546,258,061,488,763,704,077,310,822,823,837,047,843,394,114,586,888,
274,117,743,757,345,349,683,449,161,449,911,464,522,485,607,798,636,873,707,
273,707,116,159,335,255,515,447,773,085,782,137,608,609,388,186,134,469,227,
892,336,018,671,897,596,222,534,028,818,482,093,570,342,448,628,111,206,939,
072,412,562,857,333,688,234,836,252,126,670,659,988,381,393,754,590,835,387,
192,867,045,803,246,739,969,687,772,515,220,422,895,583,191,825,028,881,486,
368,802,748,884,112,443,348,610,778,441,723,499,135,758,372,559,225,256,612,
110,076,701,163,785,738,736,599,572,202,642,744,708,394,045,194,127,393,200,
126,872,194,546,851,177,699,367,948,347,777,593,868,064,242,916,373,524,259,
907,982,402,324,594,809,195,604,491,239,476,833,521,157,366,994,680,457,822,
691,020,013,881,677,757,280,218,463,466,623,993,743,103,640,191,614,092,514,
794,866,123,895,476,702,562,535,023,811,611,470,443,291,629,540,620,403,836,
227,780,645,882,742,392,077,065,769,352,082,571,766,566,685,430,700,456,186,
826,681,634,857,726,953,735,717,349,016,901,594,126,784,043,673,700,698,663,
792,535,145,823,628,580,570,660,625,516,916,131,475,525,190,680,895,336,330,
306,030,871,154,492,459,794,772,353,577,789,090,253,906,703,788,177,885,622,
700,907,589,450,243,110,005,219,856,501,704,986,059,773,955,742,397,796,800,
021,561,156,968,783,527,375,939,997,419,238,529,449,827,357,182,596,979,517,
251,366,270,985,870,532,953,702,132,628,183,736,949,356,473,460,439,588,394,
022,127,979,143,489,781,507,794,994,097,152,727,386,711,104,593,478,688,516,
268,078,287,657,981,552,877,528,691,610,718,529,929,918,640,575,637,908,108,
276,489,501,951,340,260,855,601,376,307,033,620,925,411,032,132,074,589,979,
888,401,407,208,104,351,061,068,338,364,211,238,407,186,324,649,581,677,604,
692,371,609,701,111,603,240,829,009,541,955,121,168,064,278,449,665,545,726,
347,846,501,371,948,640,217,866,922,708,604,393,958,885,207,222,035,065,064,
424,294,064,809,479,933,512,385,593,109,738,912,396,905,357,172,349,387,210,
273,591,250,409,056,461,929,705,967,075,299,424,064,001,756,013,127,891,743,
229,796,726,678,033,589,964,983,925,700,397,916,866,526,381,177,727,735,358,
659,772,369,638,709,388,313,880,627,680,135,406,958,483,001,352,689,995,560,
645,414,280,522,326,669,627,066,511,107,345,174,098,495,789,523,038,150,583,
590,748,005,500,740,533,967,595,603,452,099,751,813,493,714,900,602,338,332,
176,871,348,351,095,544,909,821,469,685,497,421,707,508,876,284,364,175,355,
996,451,868,064,670,527,421,167,486,887,766,414,359,953,605,700,379,214,675,
623,516,862,122,578,796,694,944,273,988,198,426,529,642,268,730,780,147,262,
674,061,005,109,913,822,763,016,330,289,517,375,223,500,701,957,200,236,712,
798,869,287,416,748,670,288,045,270,008,926,461,644,543,703,952,791,445,022,
297,323,084,781,148,350,075,410,103,686,829,758,894,122,388,725,984,638,121,
554,483,520,297,167,194,985,191,526,279,664,390,415,659,662,479,849,776,144,
039,310,244,690,397,008,919,014,306,283,536,021,997,459,554,467,933,227,626,
843,213,346,647,662,233,939,930,984,263,119,572,942,383,226,064,354,033,896,
690,038,036,909,112,566,461,021,855,782,693,401,142,524,871,690,845,177,415,
583,138,910,627,671,525,384,104,335,613,228,375,830,740,615,955,011,875,183,
407,992,816,055,216,491,482,926,955,561,811,990,706,542,950,436,101,317,397,
556,015,289,564,258,911,014,762,229,729,290,607,455,710,531,181,795,639,379,
679,547,986,515,094,083,128,195,636,720,910,369,045,210,661,928,644,180,571,
922,522,948,295,665,347,913,517,604,601,181,265,421,166,849,974,442,132,147,
635,121,458,156,202,616,717,517,088,071,455,768,461,968,663,957,316,153,885,
431,955,380,038,338,806,306,872,254,769,886,490,693,831,511,511,839,918,196,
917,240,116,747,073,270,309,828,533,456,025,798,995,358,658,993,156,993,149,
835,594,800,656,533,910,329,906,030,384,782,860,387,962,651,013,950,164,967,
467,886,997,834,224,389,062,579,899,594,432,931,590,280,181,287,551,046,068,
025,104,833,291,538,321,909,770,108,599,540,286,639,303,911,232,011,678,859,
137,340,455,014,127,252,195,114,859,681,209,391,554,457,938,032,168,392,758,
786,166,246,697,476,245,585,270,108,423,003,555,393,824,578,893,674,124,898,
669,296,146,433,447,179,826,830,824,059,018,627,706,731,120,752,274,950,933,
082,941,551,828,078,818,756,078,221,023,567,714,572,382,383,732,861,072,704,
202,984,164,275,591,175,717,694,502,411,050,126,525,615,933,141,608,641,799,
472,945,839,875,651,744,180,513,922,015,815,347,259,146,511,582,498,677,047,
786,632,029,809,995,112,409,131,280,544,347,930,893,679,457,510,192,841,700,
852,804,226,808,061,208,827,222,734,321,094,525,330,765,130,831,486,446,543,
016,621,761,496,140,912,911,777,045,393,458,786,152,514,381,270,176,080,684,
454,004,323,732,671,307,264,835,142,241,994,787,683,218,409,050,236,191,940,
123,967,758,674,396,891,159,935,845,829,133,263,299,178,873,918,111,736,450,
913,407,949,878,456,756,276,690,237,535,105,045,794,453,054,412,233,032,263,
950,741,733,184,340,377,991,973,629,011,867,087,621,373,559,048,317,204,880,
574,842,624,540,687,185,234,641,775,368,326,261,068,364,089,362,506,192,533,
479,953,811,464,123,187,006,012,035,479,728,379,889,520,886,675,571,595,593,
177,926,653,462,511,958,280,628,543,838,216,828,816,505,213,726,421,419,311,
442,950,743,726,789,258,885,881,010,360,672,218,995,456,461,317,655,465,023,
114,288,973,513,844,317,014,841,141,401,880,369,491,628,586,988,973,966,897,
048,256,639,494,624,364,551,594,663,692,841,759,274,278,015,373,369,861,848,
235,294,494,683,349,825,955,370,289,916,355,337,640,285,703,275,621,752,848,
621,470,155,874,949,248,480,630,586,140,059,792,613,807,683,844,692,221,718,
996,813,801,905,678,382,364,526,775,625,607,615,129,584,869,533,243,413,562,
976,698,841,029,080,068,167,330,259,862,372,385,930,566,909,291,849,588,242,
778,326,696,654,025,215,895,784,862,606,768,952,290,040,583,893,772,977,740,
836,091,799,072,705,740,925,452,564,870,384,087,940,982,204,417,340,027,683,
609,674,991,597,152,250,954,301,806,462,342,549,710,247,710,816,820,003,672,
042,971,534,038,508,856,217,041,090,458,927,907,525,908,891,172,082,401,784,
908,105,647,184,294,091,237,769,580,651,476,508,268,595,636,255,549,278,601,
331,703,001,380,447,900,179,196,163,485,085,271,972,280,661,039,072,197,271,
483,844,013,844,128,430,031,981,717,159,090,545,774,086,820,657,408,324,885,
645,094,711,846,824,814,624,207,004,961,802,740,704,918,758,413,759,928,927,
267,416,465,917,616,600,768,947,543,161,579,318,415,474,222,504,976,867,880,
701,499,176,503,247,114,863,666,741,290,633,749,312,275,978,565,266,238,325,
346,965,115,334,425,609,106,726,628,145,683,834,388,659,495,166,279,383,017,
252,099,274,152,851,653,156,408,105,510,927,728,072,130,071,440,761,785,054,
685,187,897,228,928,017,409,213,737,001,837,114,725,964,309,503,778,410,846,
110,815,605,021,943,849,995,644,316,450,462,249,136,378,082,546,828,598,215,
832,735,121,910,349,922,038,283,780,704,252,199,356,400,734,761,719,201,542,
730,735,649,579,169,955,349,780,891,418,757,337,039,728,593,149,931,910,627,
971,514,270,226,909,024,075,103,036,087,583,135,783,234,523,204,690,988,839,
309,743,514,640,108,438,961,810,011,610,272,580,826,561,592,923,985,485,528,
815,011,809,649,253,949,252,374,010,640,091,274,547,294,872,064,787,917,017,
071,010,373,470,916,280,291,925,594,488,895,551,540,236,391,277,413,717,742,
277,016,133,868,170,752,136,929,445,255,351,638,146,973,966,025,515,943,870,
435,271,528,859,460,430,751,663,825,029,237,910,151,461,460,563,037,380,156,
036,524,922,594,580,521,435,306,074,054,815,034,480,206,543,463,553,261,104,
787,912,463,025,944,621,657,124,382,701,879,531,566,317,386,299,226,224,159,
922,568,409,207,661,606,141,835,768,061,591,656,581,498,669,306,706,908,841,
328,393,058,770,373,726,182,745,639,111,445,235,900,452,699,703,456,064,441,
660,156,306,736,306,308,679,389,672,665,494,112,687,924,882,658,683,029,537,
584,980,618,304,058,027,275,027,043,722,030,430,853,189,009,624,913,793,788,
103,630,154,680,678,269,356,915,719,803,456,759,776,345,656,242,863,013,995,
024,027,006,678,784,021,946,369,560,888,401,527,244,418,468,463,110,369,063,
931,482,758,890,944,650,594,936,996,859,330,443,086,315,889,881,062,578,460,
140,529,869,138,349,396,323,249,614,849,196,418,064,658,306,816,532,376,241,
087,766,166,984,164,097,612,944,241,555,479,186,696,257,824,907,467,010,892,
783,431,217,799,026,026,731,611,574,153,064,091,562,414,020,933,398,676,537,
192,169,595,738,079,505,490,610,749,209,306,571,291,772,769,472,884,507,192,
513,235,908,604,792,564,219,769,372,053,347,819,971,287,230,009,562,967,054,
809,314,863,243,299,038,737,165,361,331,608,231,829,102,531,735,126,271,713,
728,567,042,253,988,530,660,229,334,921,071,892,584,967,658,839,784,021,282,
868,015,984,255,274,063,985,609,830,402,126,402,260,582,855,362,165,781,579,
566,958,845,679,302,894,236,899,325,257,145,342,805,151,173,843,068,221,164,
896,411,317,857,774,589,802,746,530,833,293,521,729,098,901,339,897,709,531,
812,198,114,623,599,096,952,367,215,294,440,016,597,716,537,718,432,615,712,
068,385,646,176,938,669,593,625,767,760,860,169,157,699,170,872,700,673,383,
987,825,976,811,311,666,099,164,913,011,151,459,319,999,681,093,257,074,586,
348,288,707,419,843,136,017,057,488,003,151,258,750,190,958,642,499,657,057,
373,729,738,679,765,297,442,621,221,852,652,119,253,755,219,981,689,161,697,
009,391,879,063,987,163,756,530,371,502,689,263,476,662,232,890,528,185,875,
817,224,023,168,920,712,756,015,055,320,066,621,549,219,554,112,852,123,327,
930,678,405,698,509,357,870,120,806,909,253,570,625,105,467,528,513,542,384,
612,898,555,386,840,817,331,475,951,465,917,253,907,242,916,284,199,969,211,
481,639,904,074,724,908,801,446,320,052,229,382,076,539,916,155,023,170,809,
533,729,507,106,505,903,669,645,574,973,287,340,197,885,664,479,196,915,504,
698,019,170,496,091,969,809,161,585,732,309,078,639,895,837,874,281,535,592,
115,892,275,866,652,251,264,827,375,358,098,420,620,543,301,473,369,907,715,
481,515,781,786,045,471,786,485,746,775,163,682,149,926,559,283,086,875,404,
132,590,858,025,346,594,892,413,756,994,795,281,625,718,035,264,621,707,559,
686,005,893,430,933,924,178,355,300,557,574,407,860,721,893,849,867,283,212,
463,491,650,921,518,295,946,677,660,392,167,674,041,921,350,568,209,308,356,
972,751,718,975,528,497,841,275,866,432,905,474,391,631,212,219,141,732,054,
097,588,550,134,350,333,882,834,200,465,445,973,326,498,803,242,396,240,362,
083,245,995,093,508,966,830,615,432,258,761,788,951,120,944,717,587,674,817,
798,661,190,291,189,376,627,214,392,279,752,570,650,617,290,148,089,526,095,
043,087,338,541,775,525,024,712,944,957,179,832,532,336,581,780,243,265,552,
392,041,600,044,263,758,264,946,702,118,032,104,695,776,315,550,621,519,511,
884,860,045,292,332,274,656,026,075,162,950,811,663,406,950,276,203,192,402,
504,512,575,160,038,901,191,962,705,737,957,687,152,266,012,773,476,704,271,
037,715,960,699,649,079,007,431,812,686,430,556,620,518,154,620,934,261,817,
355,794,593,418,391,634,095,680,632,991,528,766,120,393,212,883,881,024,697,
875,872,416,068,852,851,692,036,954,238,114,815,950,992,951,915,629,153,080,
873,945,130,801,659,136,140,647,267,840,947,431,303,698,090,939,294,529,306,
519,125,925,302,270,845,394,479,433,010,686,790,003,079,213,072,043,401,255,
449,847,677,109,613,636,730,373,239,360,500,787,238,622,584,074,027,877,456,
621,729,876,610,305,055,212,508,492,641,324,708,751,381,004,696,055,761,402,
581,044,709,500,866,066,024,081,177,195,269,226,581,830,733,854,665,480,275,
856,573,155,120,419,138,238,019,339,697,195,763,516,758,892,665,884,322,311,
892,926,239,142,475,023,014,212,678,793,485,307,176,065,649,550,618,918,609,
014,828,037,727,676,783,848,384,609,510,033,364,493,778,268,927,933,691,243,
640,117,412,598,297,413,998,918,006,836,299,064,609,497,530,452,780,512,128,
696,660,290,059,015,501,231,578,516,709,207,870,086,447,059,853,196,228,380,
990,234,079,128,023,938,361,212,878,934,775,243,883,161,013,632,757,517,096,
533,799,655,946,712,603,819,491,304,262,003,106,561,567,025,609,352,884,748,
564,656,713,614,566,353,118,745,584,287,124,399,570,546,802,182,180,980,230,
287,943,748,032,039,812,945,751,412,128,107,666,198,649,799,023,532,774,612,
128,156,510,779,649,341,452,454,751,560,414,207,935,237,203,658,727,904,459,
884,019,726,071,241,219,976,778,249,791,699,859,430,242,811,341,074,893,251,
094,653,745,682,803,144,966,282,078,339,967,377,180,917,716,517,215,135,558,
537,468,733,558,606,355,607,749,604,482,204,574,600,847,072,715,465,792,985,
669,590,911,227,777,676,149,173,678,857,395,150,691,352,269,223,844,493,289,
797,048,841,591,139,357,207,250,494,613,189,132,009,763,910,551,645,351,307,
759,537,273,049,250,813,902,906,802,841,105,699,097,561,946,457,879,980,222,
891,593,965,035,436,573,159,318,634,194,191,445,290,171,234,092,517,031,651,
069,882,454,248,353,971,230,857,233,294,258,406,493,366,644,230,058,210,463,
086,557,324,570,918,409,678,591,075,930,650,839,538,952,986,541,897,048,704,
984,384,457,706,280,683,214,440,193,571,141,973,867,926,732,373,865,125,213,
075,053,683,304,029,324,583,117,473,363,190,732,786,303,833,135,559,349,506,
502,925,645,252,802,961,962,505,500,254,848,978,782,193,892,163,501,878,015,
831,933,818,293,995,200,495,720,696,847,367,214,086,291,950,400,610,046,053,
893,153,680,839,119,760,269,093,496,346,475,787,604,226,778,162,977,882,392,
227,934,012,787,478,905,421,733,344,577,857,883,103,914,741,465,734,922,018,
860,742,597,145,026,332,450,044,286,746,982,811,152,893,573,028,240,116,324,
366,932,551,290,821,821,179,588,441,749,344,885,161,838,379,827,195,183,636,
432,298,625,217,794,326,924,569,092,628,390,259,027,970,155,474,746,171,550,
751,649,014,985,441,329,245,841,405,470,319,437,495,504,275,541,532,972,912,
025,436,306,490,400,582,760,713,714,937,156,332,743,676,851,875,950,810,332,
273,669,650,598,196,739,123,632,091,206,364,715,921,906,682,764,215,952,057,
837,534,448,692,763,410,867,635,565,407,783,761,893,934,399,671,447,473,697,
518,594,103,923,388,467,278,188,111,392,641,177,669,976,173,396,537,762,038,
748,952,306,203,803,098,423,785,569,892,772,709,250,860,287,304,292,742,050,
422,026,329,479,149,158,752,231,865,484,560,727,740,301,517,520,075,526,690,
238,666,147,635,662,855,521,583,252,220,902,166,784,938,798,485,223,808,305,
846,826,815,535,510,345,204,245,467,427,715,999,290,939,775,411,672,513,840,
817,269,368,657,604,971,451,575,147,899,848,306,748,311,703,335,477,328,434,
201,407,304,152,546,439,357,339,928,235,852,439,597,864,581,648,829,207,496,
129,518,572,894,743,857,157,564,694,120,220,283,677,009,647,752,645,340,600,
497,439,166,532,867,233,095,553,536,883,189,336,456,544,053,791,054,354,553,
965,122,364,144,010,948,895,522,997,225,779,305,694,846,897,550,189,261,251,
779,691,942,804,081,946,038,801,925,569,990,973,599,540,522,820,900,349,618,
952,068,216,846,040,384,180,699,253,963,662,965,630,747,365,405,305,480,195,
483,318,197,876,635,237,823,487,315,877,126,496,688,255,386,186,954,937,032,
672,170,939,714,303,938,852,243,275,638,154,890,117,624,126,044,211,881,870,
059,304,722,482,549,239,613,029,541,410,445,517,873,090,006,391,458,527,352,
571,373,669,589,872,325,610,024,402,475,233,831,375,693,899,738,004,805,938,
399,432,692,086,588,808,124,543,777,879,894,401,691,017,901,967,263,701,148,
379,379,945,185,614,181,950,017,454,235,790,281,077,537,482,540,048,124,835,
337,134,065,015,631,843,503,551,184,413,832,780,076,743,998,399,779,519,184,
534,910,505,791,422,073,804,394,984,051,084,468,348,170,422,987,372,243,268,
173,070,762,171,770,726,925,210,407,938,257,541,581,954,599,595,254,947,728,
803,165,613,653,195,545,676,769,356,035,984,688,223,013,473,844,943,911,206,
391,309,382,046,647,889,816,589,303,976,405,078,630,722,959,034,620,528,900,
489,570,651,611,952,579,308,323,657,591,468,838,190,506,750,541,784,577,678,
954,016,239,648,232,220,846,648,935,443,637,581,903,745,074,617,959,160,000,
184,674,216,242,069,101,576,571,522,401,809,221,905,145,432,853,765,460,861,
263,103,805,548,809,936,924,283,474,649,166,618,872,922,051,546,080,707,100,
925,920,240,092,862,794,983,804,352,974,194,116,005,556,534,683,025,381,987,
198,315,797,038,878,881,696,304,440,214,042,141,011,251,183,104,403,988,213,
045,532,914,033,329,012,693,311,879,144,026,396,465,197,916,322,144,717,054,
581,458,361,026,210,554,642,283,367,258,253,842,724,126,642,740,574,456,545,
572,912,652,053,403,465,052,029,990,022,111,753,892,905,603,587,179,848,900,
645,104,309,244,093,509,552,829,217,699,840,387,607,765,623,511,578,563,716,
021,555,420,902,584,693,613,255,768,086,432,324,668,927,505,614,257,712,026,
709,104,396,323,246,680,750,813,082,559,036,358,472,250,202,268,558,015,771,
677,503,570,640,795,134,569,763,297,920,201,444,317,135,589,382,329,263,395,
006,983,158,288,480,724,293,809,135,489,113,154,177,667,597,432,125,988,900,
642,712,594,767,086,984,923,318,414,057,766,651,169,408,893,897,599,069,446,
413,113,113,766,737,802,794,708,036,112,914,802,059,165,736,530,792,536,445,
378,472,617,700,413,748,711,598,977,405,293,499,907,787,570,952,191,427,475,
741,257,043,829,037,123,931,230,466,763,681,249,866,436,457,533,604,022,521,
770,995,483,918,579,256,405,436,066,017,029,358,604,634,649,101,713,447,489,
478,733,849,200,324,841,798,301,477,888,137,787,306,253,817,848,927,704,727,
121,839,972,380,707,395,743,278,163,251,278,988,659,184,982,831,274,180,508,
817,807,405,990,442,254,508,180,697,299,528,367,491,566,079,936,357,941,527,
402,990,489,355,971,587,558,688,076,628,462,534,346,132,600,714,847,544,744,
143,299,068,684,224,123,935,412,352,078,259,614,676,637,910,685,924,898,528,
406,734,041,080,862,181,801,832,133,884,495,029,639,132,111,672,852,663,872,
386,460,055,876,489,393,528,943,378,565,636,471,382,132,428,500,070,268,362,
553,331,325,019,772,339,950,834,309,479,474,841,639,386,375,151,460,611,956,
371,347,244,896,233,559,965,750,610,800,112,224,630,858,839,500,875,681,698,
129,216,150,809,675,070,549,073,598,913,239,288,900,375,820,971,155,681,818,
619,355,398,466,946,472,053,253,106,765,539,112,577,991,020,829,121,980,659,
109,051,940,932,805,323,441,183,857,055,656,441,564,607,463,240,040,042,015,
166,271,960,335,629,707,868,227,352,247,885,223,333,840,206,641,215,060,697,
534,167,355,524,910,695,699,632,909,175,539,050,579,572,659,141,524,065,252,
800,077,645,569,427,897,694,290,122,510,351,767,765,003,306,630,828,326,969,
886,340,675,055,533,345,453,287,727,047,006,155,527,754,254,853,433,895,053,
958,963,404,076,596,694,136,868,146,101,078,305,834,575,848,614,749,267,296,
107,266,821,292,344,106,261,923,094,725,063,344,952,128,227,903,627,551,242,
902,346,264,604,202,791,173,814,983,104,187,274,825,597,261,781,431,916,602,
539,653,723,312,368,332,542,055,536,763,472,866,172,624,496,286,302,788,826,
188,616,124,080,057,581,184,805,328,849,237,788,777,569,454,895,663,737,375,
608,593,226,906,636,934,124,077,645,266,141,320,047,838,654,574,379,724,928,
023,419,236,869,409,879,868,088,301,248,704,544,742,550,341,809,561,259,473,
619,970,125,311,507,276,666,513,221,911,504,212,752,284,737,254,501,458,814,
483,350,385,774,395,074,800,855,800,524,949,075,127,421,498,950,219,128,272,
710,229,276,990,018,541,306,161,150,951,742,489,135,751,204,079,870,835,755,
754,996,631,917,806,114,871,121,888,311,510,876,532,362,738,503,755,992,160,
989,202,279,539,173,177,727,638,865,747,095,922,568,801,347,636,940,284,789,
001,911,072,762,237,146,134,489,692,667,513,894,506,373,166,990,429,534,322,
719,147,118,176,056,728,386,539,314,230,709,872,793,314,439,492,842,999,946,
944,607,383,258,426,184,380,329,855,957,977,073,695,049,584,951,753,662,228,
844,692,608,390,095,242,601,862,860,157,921,259,703,967,120,172,650,954,497,
993,783,783,241,647,701,370,499,877,672,105,995,895,253,517,006,960,825,213,
739,931,549,026,458,705,966,695,854,494,350,618,497,476,392,946,322,042,436,
079,043,668,548,946,771,058,782,682,830,313,685,746,280,295,670,199,652,766,
067,624,390,063,082,410,174,577,662,923,961,364,532,619,287,019,190,768,053,
047,098,038,311,527,800,410,708,405,967,841,115,225,099,071,631,879,356,248,
040,938,041,798,224,693,456,060,363,015,268,420,472,659,213,546,791,546,744,
337,477,852,752,039,111,676,340,680,579,607,484,610,545,232,479,373,236,673,
465,276,621,419,819,848,614,443,847,713,240,114,474,383,417,212,059,017,848,
837,596,179,148,156,962,910,701,557,334,856,313,468,149,035,914,124,645,441,
308,819,368,828,348,283,230,866,812,585,573,091,102,274,717,423,840,399,945,
397,245,817,264,613,730,705,429,949,164,102,502,563,917,421,469,084,034,002,
259,976,023,649,712,430,545,853,160,274,523,384,765,343,734,681,853,969,756,
731,271,782,679,843,030,196,054,932,469,483,732,982,909,468,996,564,617,606,
770,745,570,199,133,579,434,590,860,922,424,172,666,159,321,247,261,797,114,
718,698,196,759,643,710,724,784,065,386,672,446,441,972,951,035,015,654,489,
441,857,686,047,418,333,053,811,946,171,583,251,778,038,204,275,000,748,680,
266,153,864,591,539,103,083,551,204,493,790,938,609,569,074,084,691,458,504,
659,622,822,082,433,941,793,617,162,214,653,274,620,330,728,876,975,848,608,
290,660,682,594,550,337,728,896,267,325,754,887,574,731,949,075,617,069,222,
412,900,268,734,297,704,380,443,487,126,638,977,139,400,058,111,116,666,473,
343,938,154,583,788,606,572,475,355,766,855,912,379,878,976,495,510,143,098,
350,214,643,857,341,268,963,644,712,405,758,895,865,004,502,834,894,941,878,
172,773,586,537,892,666,895,802,980,094,159,411,604,767,216,955,199,643,665,
741,202,384,680,263,637,227,609,324,308,583,019,096,968,501,298,082,490,441,
205,119,432,272,391,940,611,153,593,472,094,026,322,244,416,031,323,785,782,
469,042,892,503,207,751,000,714,846,827,641,477,468,634,796,031,926,311,355,
789,702,784,665,663,638,506,093,139,345,718,932,044,618,754,466,574,797,525,
466,894,413,855,865,949,995,035,468,447,065,490,984,461,725,235,627,219,975,
275,698,454,949,322,424,640,676,246,786,837,818,581,144,839,210,990,761,264,
129,702,339,211,319,199,248,834,919,679,442,778,948,297,163,871,046,342,262,
548,906,929,647,468,060,888,221,479,132,583,534,910,653,628,141,810,733,603,
527,263,263,918,567,142,835,631,978,355,551,332,597,222,171,315,338,017,429,
368,537,189,499,101,274,341,233,610,381,456,762,870,566,810,177,554,608,634,
694,310,417,179,003,175,863,680,515,412,013,232,499,258,315,278,071,745,466,
094,097,900,445,747,705,107,174,582,200,492,215,954,786,519,174,368,103,997,
004,220,823,590,220,458,438,103,430,308,326,376,775,021,341,763,047,033,438,
836,287,979,329,674,410,818,665,614,737,872,021,056,247,269,941,111,823,251,
148,550,756,687,665,179,043,878,908,391,891,441,684,593,466,406,192,885,581,
845,590,305,701,881,694,767,383,676,501,376,606,579,576,946,392,976,513,224,
608,450,470,169,102,211,038,166,810,508,937,872,426,600,635,825,814,828,880,
605,330,945,069,955,355,927,107,814,076,241,304,230,874,923,838,882,670,458,
146,143,449,759,335,239,782,792,874,816,651,416,042,594,300,235,935,201,555,
344,191,756,969,626,728,664,028,772,869,202,694,957,826,483,003,310,804,609,
120,666,354,608,755,841,574,455,515,170,138,951,616,828,723,862,336,533,876,
642,676,038,181,300,918,656,185,066,013,547,299,006,536,900,185,730,419,288,
526,959,614,021,889,735,676,666,496,137,325,335,901,081,945,856,197,156,079,
939,129,931,279,746,688,923,698,170,257,074,950,539,847,290,685,378,403,816,
257,896,129,896,726,423,339,357,976,256,831,421,634,528,165,507,251,079,377,
415,814,629,081,066,511,752,342,773,926,283,866,165,068,005,425,764,766,324,
340,842,069,346,926,899,343,128,116,872,959,174,438,783,945,937,852,508,006,
038,956,888,724,124,049,458,490,453,246,849,243,627,990,268,781,140,636,695,
750,067,526,595,362,943,766,170,015,218,795,706,370,647,945,645,643,304,524,
494,057,191,770,846,269,358,889,042,053,437,890,862,270,428,216,070,553,394,
534,816,944,611,706,623,173,691,001,456,443,763,998,633,921,841,549,665,124,
862,810,399,244,472,231,202,021,030,524,406,129,721,224,978,680,866,346,055,
693,780,639,810,582,901,378,960,268,976,392,225,729,188,828,638,815,501,276,
264,016,965,872,060,186,967,102,731,698,276,897,688,995,942,633,412,057,266,
149,182,182,591,686,198,962,464,187,721,786,281,799,288,712,348,272,292,758,
391,056,496,189,554,789,354,775,512,848,218,560,073,478,043,514,924,840,452,
465,624,006,659,254,705,140,477,871,364,457,546,261,991,981,060,725,405,851,
515,781,214,599,965,692,252,787,806,450,814,855,998,906,737,616,069,999,509,
610,717,904,838,341,095,126,750,691,030,726,669,918,728,925,231,527,977,737,
503,195,498,175,864,883,722,874,212,746,762,227,149,150,593,387,659,342,579,
273,463,862,283,077,403,234,693,852,728,038,895,332,824,945,832,575,011,679,
757,474,807,670,777,858,291,976,021,185,037,342,999,612,170,773,990,485,733,
382,082,042,644,601,872,748,086,550,168,448,425,979,736,038,216,584,396,068,
007,877,126,789,346,805,812,739,308,218,859,709,478,612,539,110,550,222,575,
000,331,274,800,663,595,157,153,320,424,560,666,119,568,167,997,028,750,493,
230,806,194,215,710,198,939,947,958,869,413,330,793,410,961,613,666,331,655,
482,040,760,160,311,721,628,513,212,281,696,829,736,566,234,220,144,382,759,
888,124,548,408,403,703,593,441,330,108,899,953,522,440,982,257,433,132,309,
801,413,103,608,356,920,371,491,967,630,306,903,125,612,938,689,018,429,530,
248,380,541,111,720,429,963,429,614,999,156,603,478,596,238,317,781,647,019,
844,757,961,066,812,259,133,309,865,809,229,677,256,406,272,087,868,979,624,
842,711,984,982,827,742,096,578,591,771,983,624,780,078,626,482,239,348,683,
971,585,440,425,626,191,774,167,643,428,844,025,714,645,173,012,794,667,690,
785,661,435,301,368,852,534,812,961,056,407,268,652,397,068,404,673,343,817,
609,822,191,156,927,868,073,582,527,849,288,471,770,704,634,737,855,700,267,
811,759,808,277,674,757,775,708,165,611,968,370,151,728,880,434,752,492,802,
051,283,207,576,782,662,391,952,407,064,837,349,310,287,183,984,679,850,948,
777,409,331,366,262,718,429,517,642,122,612,229,023,024,125,573,466,029,838,
204,847,426,406,693,698,700,431,137,215,271,901,871,137,917,095,880,227,504,
560,135,422,402,835,817,844,886,023,649,599,316,174,454,459,856,675,526,117,
658,297,858,766,317,753,663,434,563,679,618,079,763,872,202,056,125,430,827,
280,437,336,335,749,746,049,961,919,476,508,385,604,970,611,772,661,970,861,
221,445,849,328,162,463,904,766,226,078,818,890,173,861,730,012,070,331,762,
352,550,776,746,894,514,824,453,910,408,630,193,016,612,192,559,643,422,106,
830,322,496,130,751,167,809,728,039,805,200,211,241,137,113,547,980,382,289,
123,225,460,996,998,465,448,477,123,321,080,517,247,969,158,303,550,261,427,
077,102,712,413,425,294,527,720,613,755,301,463,347,566,013,716,026,452,261,
687,605,151,670,137,878,058,957,674,046,439,394,677,635,106,704,659,299,376,
266,173,316,090,288,344,014,307,835,868,090,904,454,054,590,542,156,096,526,
294,721,466,151,907,878,841,462,336,273,695,150,986,781,838,700,295,368,765,
326,956,452,100,832,060,752,221,621,351,299,212,043,092,855,508,070,567,961,
903,251,078,356,592,473,163,825,023,736,765,770,192,809,897,703,029,870,942,
793,538,345,169,631,156,516,431,432,382,774,798,744,577,568,545,412,128,535,
036,512,516,530,641,684,456,295,549,671,893,849,511,881,174,439,227,019,517,
606,175,584,219,566,112,093,901,254,171,207,218,324,395,873,006,338,400,912,
002,235,335,864,217,509,486,455,013,515,356,119,900,548,013,497,239,100,407,
588,163,662,079,939,710,201,199,945,906,061,309,708,972,089,398,989,815,536,
438,498,396,683,170,092,391,001,512,847,167,729,956,927,875,392,687,321,109,
442,603,787,331,699,892,244,438,467,873,320,826,197,287,961,745,648,920,240,
442,734,036,148,165,645,857,579,140,632,261,694,627,779,772,197,418,348,412,
405,066,631,169,450,092,246,400,955,535,555,822,264,535,618,082,797,094,923,
503,202,152,896,386,922,574,473,785,435,436,063,084,454,872,884,870,636,002,
469,001,454,223,472,419,081,764,417,955,214,747,949,576,215,486,574,813,157,
453,403,895,357,258,746,260,679,942,306,530,673,774,935,874,513,860,244,390,
556,394,218,681,877,960,820,639,720,896,264,490,929,586,373,930,466,839,015,
802,477,666,177,779,965,949,917,449,864,757,274,854,295,981,142,878,189,349,
227,298,175,065,034,680,234,041,980,944,936,102,465,200,817,490,961,865,310,
853,911,046,987,026,681,655,073,353,389,072,629,686,143,345,747,132,984,972,
935,596,868,233,327,715,925,247,054,137,925,989,370,926,349,976,868,568,781,
339,965,642,666,879,997,955,219,982,082,430,107,284,883,782,583,917,491,219,
969,175,750,824,178,592,374,653,996,643,283,266,058,826,571,675,434,007,264,
045,941,920,239,560,277,599,140,388,895,352,302,238,732,942,672,549,841,293,
490,700,082,799,643,069,277,864,358,601,196,850,186,201,553,488,875,734,637,
221,542,512,263,585,117,851,699,501,423,303,733,734,398,933,575,895,567,610,
356,711,201,229,356,780,920,270,029,886,090,990,573,450,989,644,687,900,093,
066,363,078,448,405,697,120,296,759,494,845,815,666,043,451,391,546,378,775,
169,618,450,615,007,665,663,478,129,639,016,907,809,972,749,086,926,963,416,
285,805,754,764,040,341,703,972,140,545,616,281,399,048,647,468,440,548,429,
002,228,195,859,693,177,235,757,190,202,191,605,807,041,474,042,344,205,360,
925,497,508,100,687,263,549,990,386,398,571,878,010,520,111,046,824,955,407,
716,425,019,412,377,166,041,810,894,229,767,241,209,569,515,232,291,333,639,
446,813,948,715,378,281,777,384,741,363,964,033,303,978,568,674,332,327,358,
052,041,100,500,203,298,801,153,643,523,772,054,880,694,882,076,263,369,191,
288,282,855,289,042,341,804,769,648,951,746,018,791,156,951,171,733,353,211,
272,651,523,509,438,075,272,449,091,353,520,276,900,411,447,620,137,163,913,
729,354,755,287,464,335,275,078,386,647,394,410,484,536,496,491,140,338,394,
158,955,419,425,150,441,041,209,094,475,488,681,888,921,627,401,261,473,328,
656,622,671,040,418,860,114,938,787,184,556,871,488,297,132,151,933,889,297,
870,763,539,189,417,807,004,276,529,567,711,369,935,311,661,020,703,929,769,
609,192,219,187,680,365,394,424,041,391,399,449,843,958,234,031,830,912,627,
805,587,182,557,637,728,690,388,293,154,087,651,963,830,552,716,386,074,888,
496,547,062,211,504,205,156,101,065,930,163,627,489,117,385,000,710,894,344,
818,949,176,944,422,922,731,298,646,304,009,106,292,701,946,661,924,270,936,
804,885,321,394,184,329,181,955,930,152,592,438,192,630,633,792,977,691,345,
230,452,211,875,992,964,883,000,934,671,375,714,939,197,069,099,652,072,056,
254,933,953,712,505,272,258,421,865,611,929,071,888,999,490,255,908,165,831,
008,434,180,384,513,123,777,857,605,210,323,750,805,200,503,778,333,073,692,
378,556,909,780,506,638,336,894,890,780,508,656,860,602,687,869,032,678,805,
758,211,158,328,361,413,996,009,029,724,812,574,383,760,317,165,649,412,519,
675,384,454,730,184,886,412,988,932,984,172,413,041,470,187,191,937,887,246,
944,769,606,771,848,875,253,558,237,980,521,345,288,845,288,123,054,692,622,
553,326,068,075,808,051,434,696,071,225,276,618,230,101,007,351,201,472,864,
109,254,934,922,344,827,495,315,875,376,489,003,287,636,990,677,513,989,126,
289,516,322,907,123,452,570,477,102,950,375,528,296,296,733,568,980,162,053,
335,213,584,505,942,283,455,540,955,683,133,666,786,336,614,588,671,889,337,
131,646,418,187,292,287,146,404,097,315,762,052,028,246,013,502,067,659,045,
010,272,839,116,785,397,484,017,425,799,248,491,840,005,630,080,840,177,282,
393,366,313,923,586,043,278,490,951,985,628,886,659,541,517,283,160,567,622,
204,587,382,841,501,068,434,847,454,440,488,465,169,820,037,563,942,823,390,
424,767,819,655,968,941,687,495,079,546,488,939,712,251,606,953,183,116,897,
015,879,683,615,804,980,545,205,443,963,343,219,966,894,404,999,232,742,107,
469,298,986,666,585,841,451,930,390,288,194,527,112,997,469,388,502,886,675,
717,397,788,933,808,470,682,467,019,740,951,525,465,608,513,013,427,936,151,
173,265,206,802,648,932,630,378,648,713,809,191,033,295,769,021,510,870,407,
396,748,044,407,216,138,711,853,803,550,747,242,004,499,822,040,801,816,692,
345,040,920,017,704,208,401,382,089,139,230,247,718,711,483,097,986,648,136,
916,894,764,277,986,420,888,122,878,656,346,688,795,796,322,859,770,247,350,
349,372,571,442,777,280,258,964,230,334,763,794,617,686,832,081,615,701,549,
242,771,845,698,133,002,405,208,667,508,308,305,048,375,072,230,235,785,521,
153,181,144,449,557,486,609,041,498,808,706,104,242,551,389,991,515,611,408,
887,872,293,805,672,149,982,669,588,929,561,712,518,795,728,906,833,536,112,
015,853,410,884,769,035,172,527,985,645,962,862,883,981,004,515,465,243,472,
740,003,198,196,983,809,167,234,425,058,626,807,140,814,179,053,734,221,272,
622,285,629,568,429,274,447,437,377,326,252,437,370,812,794,446,911,815,873,
476,129,057,364,321,010,975,749,787,284,741,392,809,638,434,934,862,734,392,
461,846,397,551,742,583,657,152,174,061,542,388,344,698,942,266,711,177,481,
571,439,430,876,117,953,180,499,058,959,994,275,355,459,885,332,847,837,046,
235,699,403,433,518,665,150,122,808,439,327,644,408,991,943,529,702,267,020,
458,842,858,222,745,282,676,561,552,814,301,812,480,235,198,036,050,969,559,
719,490,520,207,356,483,896,045,685,303,483,997,785,478,029,333,477,290,696,
927,662,905,915,233,084,429,636,127,586,256,428,346,738,448,700,066,983,588,
926,313,225,082,772,924,510,537,738,570,560,997,281,021,476,008,190,845,661,
661,316,951,563,817,967,281,373,355,572,098,203,547,427,102,889,501,163,598,
556,983,016,558,685,842,775,626,432,625,463,759,827,920,084,198,164,307,485,
054,018,259,146,063,043,626,880,723,314,945,836,744,183,638,074,486,026,171,
511,012,074,745,519,191,663,711,575,158,011,940,673,084,561,492,826,575,082,
372,409,350,407,279,505,266,582,093,583,222,653,433,792,852,600,888,774,264,
893,296,473,111,168,081,732,650,547,871,568,503,404,515,031,636,215,983,956,
109,877,791,129,514,893,464,440,259,236,448,326,456,826,086,341,842,191,771,
148,637,415,442,171,453,934,394,841,581,597,299,201,493,570,242,243,128,678,
755,541,192,002,828,570,447,522,691,468,398,167,225,332,072,982,631,468,173,
772,541,655,123,108,343,731,252,933,480,069,375,673,029,949,554,387,155,245,
938,880,135,730,714,457,029,208,699,303,511,668,767,920,698,337,583,647,058,
984,168,137,734,645,057,589,138,164,564,527,113,772,141,858,994,542,016,910,
977,488,687,612,899,292,547,385,118,339,932,446,282,118,653,854,431,476,269,
033,987,803,371,823,479,995,419,586,858,814,479,995,752,948,327,543,603,515,
686,642,704,137,162,171,466,579,666,801,505,960,512,474,605,302,439,220,676,
380,114,715,039,102,623,574,505,153,509,872,081,221,430,250,422,933,228,222,
204,879,616,329,900,975,909,470,006,022,461,633,092,855,719,393,113,798,806,
571,306,598,639,318,904,213,507,351,854,210,707,261,980,198,547,530,128,814,
058,272,810,837,033,011,271,030,407,554,381,794,624,209,830,455,243,122,860,
809,579,204,303,201,130,888,196,670,728,121,373,933,704,911,837,298,992,644,
292,961,996,540,955,842,056,863,982,942,297,895,721,502,755,798,862,344,163,
814,155,014,930,560,858,984,606,413,119,142,799,668,374,679,112,144,274,178,
382,014,862,000,827,028,289,560,212,372,630,898,782,249,065,433,190,012,835,
405,368,303,539,958,051,310,142,193,461,931,466,412,488,916,348,114,493,171,
148,803,846,556,129,705,491,170,130,021,922,048,129,389,864,912,248,817,990,
125,864,021,955,164,600,605,757,250,585,913,387,284,896,970,111,963,933,667,
447,551,049,343,580,874,902,843,808,372,172,461,158,932,429,138,796,997,979,
397,021,299,988,900,666,464,931,597,813,751,296,434,119,863,577,681,108,266,
764,948,668,681,942,926,962,887,496,924,827,738,570,935,981,481,492,904,396,
639,908,017,577,202,339,582,201,438,668,468,780,781,160,655,061,269,115,130,
966,524,109,265,635,800,626,399,777,361,846,088,021,368,781,743,782,854,515,
583,224,052,828,819,679,471,385,123,035,714,135,131,572,890,485,950,023,364,
408,107,538,192,873,398,013,114,974,920,528,564,633,782,785,494,408,137,346,
412,587,661,345,959,863,259,056,393,882,114,817,289,250,685,168,226,312,662,
406,881,815,095,190,712,903,331,400,009,805,260,034,854,294,072,843,537,849,
392,820,305,299,982,348,356,784,130,340,555,085,291,827,845,703,531,492,214,
902,857,286,489,616,376,793,442,295,858,537,614,241,744,218,918,034,711,320,
524,059,165,898,055,063,427,095,807,936,873,203,075,380,333,316,320,818,709,
350,590,319,152,882,521,855,226,491,819,924,959,401,778,159,524,776,588,460,
472,544,617,373,197,464,598,188,127,933,574,217,079,946,186,219,442,445,131,
521,908,031,245,573,002,343,425,700,154,486,608,431,728,970,073,962,827,566,
907,097,330,845,886,322,337,002,916,091,107,977,545,484,766,611,155,765,037,
482,767,177,961,657,565,549,093,245,162,536,691,409,374,504,473,977,960,649,
363,351,781,081,825,322,000,471,111,811,396,772,398,128,985,528,845,338,068,
072,981,112,270,934,555,688,389,525,607,600,888,782,384,673,449,091,809,406,
992,980,064,625,162,879,647,449,583,003,870,634,090,392,749,452,975,683,104,
210,678,569,180,779,285,649,013,673,022,825,971,806,050,511,295,154,024,007,
112,526,477,493,745,435,857,738,545,838,471,778,897,777,520,084,433,337,977,
300,178,866,797,125,244,784,317,506,080,052,322,718,572,493,161,595,292,801,
471,887,582,735,270,460,716,896,061,773,039,371,036,914,155,356,850,073,511,
924,186,608,786,340,413,895,829,041,127,918,964,056,843,885,489,007,085,359,
809,065,025,533,822,368,297,575,401,217,024,649,983,649,399,640,502,831,306,
385,356,028,392,318,461,534,904,631,792,927,157,385,235,351,495,282,066,486,
175,093,516,211,336,098,138,932,426,458,882,003,481,181,576,235,320,707,097,
728,170,113,722,973,086,064,181,300,540,550,102,852,029,014,005,060,501,643,
852,980,249,085,478,545,068,559,497,940,265,688,863,522,679,778,401,802,944,
532,950,462,929,418,154,817,019,798,488,601,806,808,987,233,061,239,094,639,
104,076,997,591,009,540,643,739,695,309,823,883,467,117,057,109,093,028,328,
804,053,150,162,336,594,926,594,222,520,237,462,393,287,650,968,141,797,732,
890,803,408,081,038,759,457,022,263,471,144,753,643,199,515,437,571,147,429,
013,139,801,656,056,959,418,778,363,700,618,232,506,892,463,336,098,132,441,
491,421,380,336,048,791,074,539,972,906,439,429,270,626,215,458,047,095,342,
842,511,312,320,660,494,567,940,967,350,915,816,688,160,830,929,341,025,573,
117,357,354,949,854,917,260,000,149,262,119,886,976,772,503,277,249,485,540,
032,819,094,684,767,073,518,040,958,224,000,534,058,165,049,047,323,364,113,
716,819,158,554,744,215,925,399,947,670,253,587,404,153,608,193,548,306,571,
386,297,817,092,372,381,044,968,280,084,835,581,080,661,445,118,823,735,597,
307,124,374,615,331,722,268,573,293,980,235,806,800,286,005,297,130,286,025,
198,291,874,742,959,398,827,490,070,145,753,043,821,803,220,302,437,505,645,
935,184,571,752,049,485,603,997,037,639,231,753,660,815,179,952,675,700,171,
963,343,480,731,844,026,021,950,446,765,600,568,729,810,647,770,074,412,174,
217,291,017,757,437,247,313,446,177,817,948,162,353,086,890,095,780,535,085,
547,820,839,200,903,670,823,885,723,566,076,830,512,381,615,574,490,126,599,
527,622,144,482,610,698,461,031,683,826,951,938,444,564,802,554,945,208,706,
938,566,398,001,036,236,159,357,635,823,747,634,562,180,749,203,249,931,655,
847,991,750,983,137,924,391,967,448,578,322,331,054,782,040,832,651,554,682,
602,981,281,340,597,940,486,320,576,679,525,830,153,333,695,010,037,846,647,
166,928,074,676,061,197,794,142,077,606,379,831,088,180,309,966,671,773,206,
567,359,599,173,031,503,733,530,376,421,389,729,940,778,245,429,800,526,693,
794,350,445,185,035,259,314,404,807,288,847,350,423,861,805,694,163,307,132,
967,952,907,373,867,476,895,394,795,035,589,576,411,802,536,484,439,094,418,
912,762,036,520,332,654,064,562,461,280,421,012,662,991,814,288,928,422,118,
330,354,532,330,522,939,265,393,691,620,332,270,951,772,296,551,642,003,688,
992,849,198,672,982,040,056,264,022,172,829,020,414,819,616,698,023,266,236,
563,858,883,686,221,178,576,756,228,771,016,888,772,470,628,411,551,136,936,
952,032,829,976,436,092,963,648,624,372,448,162,538,938,281,079,966,023,527,
228,392,912,463,131,874,062,423,233,627,209,250,717,294,791,987,237,213,217,
003,975,243,317,651,163,658,658,572,305,831,218,463,122,415,796,459,042,342,
221,294,009,763,590,731,302,360,510,918,335,658,600,562,099,511,066,203,469,
841,873,836,225,796,922,478,464,196,456,107,929,132,591,511,363,305,118,507,
658,562,666,942,988,852,293,656,224,017,212,533,110,077,435,564,764,934,264,
272,008,526,200,247,178,253,237,761,360,097,765,251,677,755,509,768,632,240,
804,046,713,827,268,037,440,640,951,058,039,758,182,723,409,731,635,998,576,
188,247,862,224,844,904,791,309,580,958,503,392,742,155,803,643,625,216,010,
310,091,032,189,569,383,762,012,183,956,875,634,758,630,387,486,045,218,308,
474,689,157,985,380,681,489,777,321,912,990,337,480,193,705,392,129,333,380,
615,729,053,532,791,975,718,024,776,288,875,855,451,449,058,193,346,619,023,
067,131,915,813,966,011,138,551,799,735,320,997,492,730,898,246,466,951,189,
036,662,467,309,855,379,819,398,268,320,732,671,911,818,401,248,226,630,022,
298,581,038,536,976,444,643,942,006,720,171,349,999,580,442,125,674,717,554,
747,290,828,131,855,945,323,924,172,962,026,752,672,423,378,743,185,414,803,
258,792,208,990,362,231,714,837,337,611,209,848,519,338,353,566,895,491,439,
120,699,118,496,217,411,027,753,618,189,870,570,811,659,754,058,582,851,091,
481,268,765,818,297,112,931,051,197,818,533,638,392,957,531,214,288,747,134,
524,944,394,902,297,322,039,177,621,212,414,741,304,980,742,250,419,578,206,
302,310,890,310,314,577,749,174,800,690,099,962,262,436,427,547,586,698,704,
333,642,296,226,773,540,383,372,142,307,779,239,785,077,189,257,348,087,231,
641,343,132,110,659,177,666,391,149,713,960,116,545,276,544,092,680,240,494,
726,930,817,529,764,369,576,224,555,870,179,768,715,548,714,386,455,242,964,
654,075,576,153,365,729,458,462,815,614,246,817,529,308,561,013,879,001,747,
968,606,577,873,936,195,246,913,418,223,459,856,517,924,541,246,199,076,437,
416,820,672,204,970,579,554,439,076,584,628,759,930,674,155,399,064,933,703,
704,425,494,145,625,529,395,899,163,628,220,720,825,901,389,799,680,821,032,
123,813,110,506,562,102,603,761,591,307,848,440,097,713,547,931,891,590,459,
164,771,617,975,815,662,084,949,890,613,261,402,397,020,873,523,240,304,517,
548,240,357,234,928,485,149,285,592,869,467,234,434,939,351,604,536,377,751,
705,583,272,867,990,851,919,943,099,017,654,078,788,098,546,812,525,719,607,
725,375,945,308,050,246,002,544,330,565,015,557,491,126,276,009,201,513,796,
710,365,749,109,929,870,826,453,515,973,846,308,193,447,645,425,285,233,389,
608,360,857,549,905,856,382,173,789,839,143,042,180,210,903,687,926,217,051,
320,657,694,372,128,600,743,732,238,196,584,680,880,426,042,716,508,115,537,
308,951,648,122,224,018,307,292,985,524,294,460,668,149,810,160,667,875,313,
775,711,379,668,355,088,457,268,024,036,114,262,996,806,703,829,740,617,742,
634,622,727,232,262,829,252,063,956,558,117,277,179,025,985,256,360,551,397,
994,202,924,990,481,737,281,318,613,000,168,032,661,671,256,081,182,959,458,
238,443,047,124,944,782,096,579,523,065,474,498,369,814,059,152,161,365,673,
889,479,203,996,045,050,346,955,860,468,349,288,313,982,160,702,999,733,184,
681,119,154,328,223,775,946,002,550,861,468,457,498,936,623,214,636,388,561,
801,472,234,362,154,820,971,812,010,175,522,870,505,336,399,974,747,993,426,
708,301,480,879,118,842,965,576,556,141,427,666,997,794,237,110,837,679,849,
279,540,301,394,670,825,224,909,763,835,916,600,704,443,327,066,123,438,906,
352,426,595,069,805,330,495,774,431,919,917,922,498,581,685,761,858,123,643,
780,666,501,868,475,774,268,594,615,268,172,396,463,641,649,446,384,522,297,
617,199,197,331,812,891,632,492,978,012,840,241,561,414,262,530,112,264,762,
664,469,531,837,266,037,523,725,294,004,964,122,560,099,209,184,338,642,260,
830,935,725,822,244,258,482,818,859,599,319,459,387,378,865,770,739,604,678,
373,346,289,273,115,118,431,073,306,174,169,167,629,615,960,851,002,036,260,
384,798,746,299,918,847,971,868,787,477,173,648,788,490,100,220,758,717,491,
946,261,287,605,182,522,877,246,759,955,047,210,819,457,165,468,921,887,994,
487,849,314,042,033,744,725,131,109,024,938,055,234,492,308,537,458,800,059,
230,503,013,047,293,477,190,874,908,645,854,262,329,025,090,541,322,849,551,
094,356,837,176,381,633,388,222,651,745,375,845,707,824,463,854,601,871,797,
978,109,491,697,300,439,920,743,839,255,067,144,248,253,573,230,039,291,188,
896,151,292,663,824,860,446,636,003,924,865,843,206,612,778,240,908,851,443,
821,331,521,707,867,415,007,918,975,511,957,948,739,007,330,936,641,010,703,
499,028,803,847,024,665,155,134,969,926,754,468,721,048,864,699,934,126,302,
399,830,266,254,763,544,356,568,253,611,926,103,168,967,595,410,000,493,678,
679,318,460,882,257,467,286,220,233,461,328,992,957,592,245,311,388,263,036,
398,789,855,262,198,166,360,361,404,924,578,039,601,018,511,127,757,764,350,
425,589,143,720,113,346,435,990,551,696,832,765,498,271,907,661,438,048,250,
902,784,752,449,927,385,664,050,391,922,150,576,218,889,653,583,270,016,750,
223,529,413,370,399,921,623,261,515,802,066,759,731,848,284,250,971,719,996,
963,614,790,663,551,958,196,837,867,253,450,612,144,504,191,899,998,875,104,
349,452,213,761,640,702,762,674,395,137,072,083,498,549,879,710,018,595,845,
913,031,493,492,432,827,143,713,379,127,368,221,504,094,820,646,699,402,790,
702,984,232,233,264,877,091,404,680,926,562,231,633,745,747,005,729,719,082,
424,608,934,202,374,522,300,349,182,117,852,927,567,493,590,528,526,279,756,
352,226,219,823,789,102,729,238,742,583,194,782,233,052,321,587,591,815,293,
002,278,987,655,209,216,446,653,900,535,590,062,193,612,882,138,286,552,689,
597,076,364,353,927,853,097,478,254,596,148,146,864,689,720,265,933,300,248,
951,718,591,400,343,549,884,569,753,438,741,427,094,532,010,240,660,388,943,
045,037,313,794,382,989,922,207,492,942,649,946,601,633,528,389,779,038,768,
736,656,285,373,978,556,586,397,420,000,236,922,092,135,084,692,699,707,387,
451,882,837,492,429,923,223,912,987,520,287,367,704,380,203,919,653,905,306,
545,715,235,883,371,034,612,281,663,980,823,332,587,854,174,829,906,734,877,
536,050,160,606,102,926,530,841,044,457,444,916,430,345,516,726,060,011,090,
698,216,441,349,464,296,983,657,595,736,938,172,510,243,828,342,715,867,060,
615,634,229,401,226,247,215,645,886,264,756,918,433,125,118,218,641,650,134,
672,828,828,579,374,738,549,549,146,283,089,695,155,476,485,483,893,181,312,
541,054,571,570,146,407,276,003,085,499,731,193,245,550,636,398,968,246,866,
110,931,579,259,331,542,167,603,920,382,907,591,002,765,576,294,449,174,302,
295,832,021,272,313,409,282,550,665,148,788,987,578,147,622,523,997,861,120,
922,372,249,064,783,827,638,964,015,776,647,292,268,125,732,694,701,680,671,
467,712,050,814,340,369,134,417,057,985,300,371,529,547,898,738,946,271,866,
964,167,347,740,943,692,350,553,040,553,782,153,908,379,678,677,894,894,161,
794,386,302,476,626,337,029,348,234,433,237,164,831,426,495,314,467,795,754,
006,410,894,527,162,266,391,094,472,538,183,330,210,747,046,930,163,656,381,
528,633,221,135,403,641,379,037,383,408,092,455,713,861,326,219,449,187,128,
410,220,747,080,901,254,196,785,605,901,597,025,962,070,589,935,567,945,447,
363,421,800,185,121,718,750,118,760,223,224,603,073,660,990,725,446,979,481,
345,784,093,045,473,459,518,788,504,075,205,721,382,686,842,752,702,716,328,
713,726,905,571,515,926,512,504,827,755,282,534,298,007,042,746,236,266,420,
401,798,331,142,492,304,402,596,446,137,003,241,768,840,790,223,017,735,532,
005,781,593,529,147,990,422,287,263,952,933,635,178,477,764,804,080,821,251,
053,389,754,421,991,674,892,037,781,088,881,029,875,572,091,174,341,234,274,
294,024,738,373,714,017,054,063,812,191,399,674,479,500,381,063,549,295,790,
595,042,724,241,711,331,072,270,140,771,021,175,661,232,457,929,620,664,852,
401,408,350,562,326,348,152,466,880,416,254,811,592,556,684,265,649,124,105,
019,299,557,664,082,473,564,290,350,020,356,084,526,582,497,878,294,656,092,
128,340,225,794,911,190,204,170,234,094,456,222,670,496,602,994,554,185,399,
079,408,111,039,332,848,654,863,725,031,809,945,440,648,878,544,759,177,198,
063,187,822,041,675,127,504,243,143,285,560,446,572,027,805,612,800,608,650,
913,851,506,282,180,215,928,452,147,833,579,444,479,018,539,493,223,081,700,
849,218,324,626,817,884,364,719,416,505,854,763,125,714,023,239,052,880,612,
023,412,654,488,215,706,115,157,842,243,258,629,211,430,471,367,241,350,969,
704,482,575,737,681,975,980,118,877,493,551,551,390,409,871,573,027,931,713,
736,941,135,668,638,841,361,050,871,108,120,119,553,343,287,150,097,176,499,
892,968,169,673,951,044,090,930,990,220,881,263,729,307,330,985,255,837,328,
221,705,816,596,863,238,432,183,697,194,107,165,394,122,333,138,538,067,392,
903,339,423,616,653,381,413,194,156,437,690,417,811,952,423,349,263,518,544,
907,250,128,837,371,898,149,029,649,750,948,329,448,399,693,109,463,170,723,
361,525,574,709,667,774,389,893,793,256,405,082,740,945,312,182,817,003,310,
991,527,790,022,279,894,157,616,493,481,171,705,988,370,862,132,937,294,432,
236,045,125,690,452,225,887,669,707,745,365,015,400,292,142,698,255,794,131,
710,341,823,521,904,231,295,729,608,349,948,453,367,428,214,576,888,322,173,
737,870,863,941,022,751,712,715,678,201,819,125,891,338,615,136,496,524,359,
348,271,086,941,821,646,992,914,932,265,360,909,728,356,077,213,206,701,313,
959,683,888,413,593,368,744,065,012,799,622,055,017,785,134,734,900,984,333,
294,167,941,023,655,524,205,317,305,882,651,106,173,715,414,345,580,873,630,
314,666,258,182,339,886,505,137,222,658,334,721,784,229,960,904,535,656,500,
410,168,895,742,189,652,920,406,492,009,738,317,063,398,261,354,213,678,149,
358,277,034,943,799,248,962,015,451,367,398,748,613,621,343,526,949,235,787,
744,841,449,710,639,731,398,043,822,070,096,998,675,012,947,218,851,117,217,
886,265,693,448,009,972,847,172,389,294,874,096,108,822,414,976,019,989,130,
085,562,595,631,719,528,355,387,002,449,830,804,629,763,768,369,439,694,481,
029,483,029,064,344,562,375,692,474,010,606,989,111,608,447,577,879,487,800,
999,843,213,343,066,811,331,400,374,905,612,335,992,593,550,494,832,499,970,
846,510,283,599,786,989,024,245,290,726,231,695,174,374,092,203,140,435,553,
491,595,283,072,765,034,673,689,786,258,985,299,312,615,802,622,798,168,601,
586,542,472,276,447,815,814,710,885,155,776,831,288,060,577,139,036,589,566,
980,632,952,682,138,162,018,265,542,761,494,902,064,471,254,774,784,369,986,
908,024,823,450,411,124,942,063,166,375,436,235,480,217,390,770,298,964,225,
266,285,604,187,214,855,861,957,598,059,256,557,185,289,161,429,200,764,140,
215,508,298,591,827,825,343,649,716,665,490,581,933,777,311,348,632,546,908,
453,954,238,704,925,121,399,771,042,988,120,915,037,975,083,401,342,785,489,
633,896,879,583,195,193,878,414,660,042,243,141,059,878,810,087,175,513,541,
214,724,207,922,445,996,226,365,058,728,019,188,606,787,485,528,855,450,043,
059,891,683,665,336,328,479,301,827,000,119,069,618,267,907,987,751,163,703,
983,636,352,125,514,237,630,778,622,351,425,792,494,616,736,430,695,117,662,
936,250,577,868,525,247,787,714,336,072,085,634,285,575,996,383,641,162,292,
652,994,716,188,718,207,657,690,001,215,287,369,508,859,417,893,125,483,325,
546,452,088,775,797,937,790,992,704,728,818,521,087,681,641,667,852,125,036,
570,749,590,679,318,681,387,463,160,360,962,077,504,625,607,033,626,726,989,
019,360,902,423,313,247,656,869,217,929,581,655,148,014,684,863,737,744,467,
311,977,806,490,487,223,983,012,293,730,468,204,948,524,297,860,166,098,735,
392,763,658,325,003,889,398,362,932,731,850,628,297,632,555,747,824,865,669,
235,522,943,988,705,340,230,644,550,187,567,067,773,368,067,201,951,743,931,
205,617,969,760,923,578,651,999,953,421,076,900,064,868,393,331,795,355,994,
629,450,310,453,240,884,871,338,355,433,824,852,880,376,974,531,854,302,844,
157,194,175,347,242,364,444,057,006,143,875,521,367,012,151,271,625,760,446,
975,504,721,396,541,786,071,012,040,134,163,661,753,805,717,472,890,341,528,
090,947,019,961,661,929,204,803,985,569,979,403,794,578,292,629,388,463,504,
268,453,016,279,368,494,678,459,395,405,909,634,413,691,492,743,377,647,295,
981,341,622,539,725,643,885,959,626,265,863,665,451,956,139,240,285,849,265,
201,456,787,304,776,396,073,413,712,021,250,459,662,803,902,131,629,401,058,
018,578,483,757,384,074,183,527,999,266,357,526,136,079,677,227,770,675,192,
803,075,892,529,200,387,441,987,067,892,907,313,654,667,120,035,790,009,128,
636,749,872,277,654,697,967,151,104,688,848,435,532,432,788,942,818,875,985,
309,694,893,689,825,312,159,828,777,984,468,555,297,114,793,788,450,967,653,
348,587,510,289,393,959,109,313,003,548,739,015,821,873,143,912,042,638,796,
732,725,939,830,655,215,955,416,101,779,603,153,202,447,634,679,495,741,700,
195,570,009,791,608,433,000,290,881,938,988,480,819,412,558,255,160,798,753,
015,994,197,955,944,907,106,373,065,508,536,034,447,344,421,189,702,324,314,
529,222,928,418,850,379,077,156,442,804,188,833,608,180,632,596,768,051,979,
669,267,449,308,848,973,801,316,917,780,762,569,161,112,996,733,331,854,811,
830,515,387,500,065,428,229,647,199,280,747,090,144,366,654,574,110,530,804,
118,406,396,488,863,576,967,251,270,142,568,961,244,484,190,273,960,045,522,
669,115,029,975,165,980,346,845,700,532,716,213,370,320,995,390,260,638,713,
585,269,815,606,604,100,764,553,018,836,089,958,471,986,952,838,248,835,588,
708,278,640,789,274,845,434,342,072,162,591,899,315,936,338,929,137,967,621,
281,415,771,639,941,442,137,794,180,698,156,418,660,764,069,412,242,049,642,
313,834,809,509,774,791,666,709,999,961,533,254,466,047,464,128,119,369,747,
755,545,938,819,031,139,244,189,847,779,670,669,688,162,692,309,286,703,430,
613,884,097,701,277,227,373,724,853,251,518,918,001,187,801,306,519,354,588,
163,212,443,919,205,665,019,537,603,731,243,471,044,373,480,498,929,770,333,
420,692,460,202,791,197,129,009,535,486,992,836,235,419,658,296,731,185,821,
277,907,056,467,984,736,791,664,448,576,073,630,752,557,986,247,071,088,038,
901,782,101,296,929,322,305,677,239,534,838,224,959,897,433,834,384,668,474,
412,564,956,109,649,311,063,543,782,092,038,813,293,901,665,276,665,298,010,
804,943,518,144,520,954,396,299,509,156,912,100,775,011,138,278,646,402,992,
222,862,549,715,627,666,461,470,957,449,614,088,770,331,518,261,430,345,523,
494,891,056,528,411,123,631,775,219,043,755,683,843,884,520,310,209,041,476,
329,615,852,079,297,868,325,560,192,344,561,308,066,453,200,561,937,021,476,
793,736,730,965,708,746,927,806,211,033,472,936,693,291,668,678,169,202,301,
468,921,281,950,930,141,047,160,268,310,021,170,009,040,703,675,993,551,513,
041,380,291,089,203,260,767,644,885,129,381,346,756,610,955,434,563,898,950,
119,440,928,313,034,888,714,088,356,110,164,923,712,054,704,133,280,965,539,
979,053,035,892,821,972,877,678,848,546,454,493,127,790,124,497,564,840,090,
120,758,837,835,506,596,396,144,442,136,599,471,676,629,883,899,750,617,972,
813,923,839,195,086,554,473,649,704,475,838,006,186,088,847,655,094,879,366,
412,078,200,420,833,780,101,575,456,884,922,828,900,883,683,033,067,917,797,
648,882,978,316,298,911,020,291,685,806,456,606,406,475,331,033,027,034,786,
546,543,507,584,873,247,826,173,587,267,486,172,147,184,260,476,083,330,647,
068,768,024,270,472,602,607,975,947,262,856,236,781,373,741,229,539,713,570,
617,773,615,840,612,049,857,439,351,532,126,214,284,110,256,091,816,395,483,
327,516,129,567,138,955,087,611,404,386,280,602,627,318,044,338,192,499,866,
018,520,785,690,572,345,847,316,364,629,733,047,676,856,959,122,436,802,983,
613,267,317,547,886,173,168,371,792,003,198,654,001,539,224,144,113,724,317,
390,547,718,153,246,308,536,254,066,474,587,595,241,346,452,469,267,993,949,
584,720,670,345,675,296,149,482,756,710,132,314,419,591,826,657,557,616,095,
719,602,490,204,698,842,815,226,922,290,650,913,683,122,142,290,663,962,152,
557,237,404,718,460,996,919,002,609,739,948,534,619,460,920,240,221,049,859,
939,933,061,599,498,543,469,319,917,807,811,057,380,781,054,006,942,767,332,
432,699,224,927,083,318,259,482,760,232,065,304,558,327,607,684,112,280,764,
747,538,873,804,183,105,924,253,956,716,018,079,731,864,954,150,328,468,194,
121,715,388,032,174,538,449,423,544,089,827,902,096,519,217,755,751,281,947,
058,085,239,768,851,504,253,002,556,713,337,854,175,395,820,033,390,187,058,
837,004,925,078,911,687,708,197,064,115,758,561,845,537,813,264,824,456,009,
115,444,770,199,268,629,134,108,041,727,108,219,970,196,603,481,938,926,282,
835,316,696,673,750,158,864,164,242,149,310,487,716,758,482,604,250,251,073,
909,871,293,512,825,832,738,701,565,612,167,312,158,688,521,172,035,217,030,
380,854,771,634,138,268,994,444,810,041,286,013,312,217,033,710,006,651,570,
245,914,125,721,318,125,219,684,810,953,134,984,443,638,456,854,672,284,035,
604,037,615,128,140,656,941,553,088,605,530,129,583,771,343,208,854,608,650,
190,149,538,392,913,695,923,903,285,942,156,015,246,522,068,948,546,972,643,
741,661,651,957,980,302,003,575,031,923,409,570,222,708,027,132,155,007,441,
359,138,110,341,164,567,253,909,082,716,692,303,183,756,513,721,285,655,259,
623,975,403,151,372,010,527,706,648,233,348,228,109,920,597,558,109,801,869,
830,871,571,820,430,109,675,601,573,752,781,005,369,277,150,897,252,101,505,
002,250,734,916,465,150,414,244,678,708,483,798,548,095,623,347,160,751,481,
693,493,081,627,105,164,153,806,263,321,332,173,579,553,461,772,976,066,627,
076,568,192,716,781,379,705,538,669,143,501,353,544,313,773,122,843,178,053,
620,506,535,628,508,448,904,355,467,674,025,377,098,024,518,971,636,906,533,
728,811,646,629,973,978,633,594,962,612,985,431,206,465,302,991,054,197,420,
807,085,539,329,739,085,175,840,327,322,813,050,025,431,345,340,188,700,125,
649,168,679,281,286,241,496,420,923,585,079,554,553,945,907,806,048,780,811,
572,712,656,540,736,001,181,580,155,106,631,514,254,116,436,478,383,069,411,
946,662,736,899,375,964,411,595,806,534,633,289,623,701,657,032,778,949,823,
442,424,670,793,944,481,445,076,601,605,253,008,208,883,417,825,349,101,324,
102,733,687,778,543,076,695,792,637,384,514,679,159,019,554,895,681,710,858,
371,310,723,902,052,498,775,591,337,284,354,479,199,959,169,231,517,722,788,
817,466,959,241,358,142,140,114,705,452,854,964,343,260,184,995,544,657,508,
341,676,101,945,242,300,159,774,254,334,131,424,244,288,723,695,995,272,109,
170,837,835,627,291,271,158,510,950,330,219,709,498,809,263,387,991,616,765,
582,771,232,807,755,938,996,058,854,143,920,099,893,460,444,488,018,116,115,
019,718,028,803,810,183,861,495,753,118,956,092,577,510,774,329,394,470,586,
070,083,868,079,065,583,278,636,867,415,859,994,592,977,764,770,609,623,150,
525,516,451,183,849,758,644,755,046,772,969,020,749,599,084,815,739,837,049,
289,150,113,897,751,777,413,677,823,984,636,122,969,942,481,038,077,674,630,
670,537,609,369,944,827,950,885,262,311,487,947,067,041,173,116,482,786,615,
187,322,675,353,230,077,570,553,429,349,652,924,798,884,241,930,433,326,962,
821,300,959,241,575,472,288,273,260,081,728,439,535,307,872,439,047,981,379,
875,684,675,685,645,320,239,427,526,758,870,114,511,371,971,035,602,247,003,
121,262,837,034,284,805,845,279,865,736,296,769,076,278,122,385,686,211,443,
318,225,944,700,172,173,195,929,322,096,837,234,866,002,665,793,194,424,811,
249,902,618,160,655,908,753,860,006,967,358,365,142,243,096,797,580,899,425,
801,665,469,700,756,274,916,053,021,934,680,821,832,376,724,092,167,361,585,
725,205,801,880,566,818,751,933,128,629,373,119,605,156,578,590,386,978,462,
682,336,707,234,084,169,146,223,876,420,456,266,492,626,215,751,231,787,702,
175,533,881,593,785,150,606,587,834,173,201,945,772,075,333,808,674,273,328,
855,022,924,790,659,245,134,038,055,144,413,566,068,179,098,903,885,757,454,
938,945,340,114,154,647,520,933,856,059,675,777,651,953,295,950,974,172,909,
781,667,135,470,690,688,562,829,324,669,721,407,920,153,974,898,800,841,490,
071,975,651,268,532,476,476,602,740,593,075,551,294,193,265,777,726,656,141,
099,622,655,857,540,212,573,306,056,500,551,372,104,327,352,571,567,464,188,
775,155,667,611,442,597,092,622,563,092,600,881,347,302,333,784,613,682,265,
234,060,839,537,105,918,065,477,042,181,660,612,598,075,053,028,250,350,882,
237,823,047,592,712,080,288,255,989,921,621,521,015,044,884,949,241,965,906,
324,231,561,304,765,572,136,491,867,884,270,074,530,483,380,095,900,568,982,
787,988,643,964,319,768,718,462,232,923,273,463,179,263,389,574,311,782,658,
084,885,959,479,270,768,920,596,223,487,722,094,531,014,334,013,503,844,581,
352,012,930,880,633,838,741,680,726,474,314,103,827,935,653,853,924,575,862,
945,896,236,253,275,249,733,775,756,508,761,544,672,475,377,053,480,954,249,
485,118,557,216,142,979,971,260,559,649,888,260,215,723,916,736,197,570,108,
827,430,750,689,673,881,037,969,394,014,008,606,187,162,799,613,242,798,757,
784,311,651,898,694,724,959,106,864,701,130,140,937,031,474,419,474,204,391,
431,904,792,519,465,924,881,750,230,893,776,705,715,762,399,335,339,841,948,
714,102,053,037,841,503,161,684,375,376,080,199,696,536,064,620,569,570,478,
364,866,882,074,046,086,527,036,714,520,176,524,066,589,330,557,284,983,254,
369,520,181,109,826,472,322,117,627,433,850,211,444,962,307,077,828,997,310,
334,715,816,210,561,340,381,393,706,771,233,868,606,729,426,323,937,204,797,
865,206,226,521,190,994,446,570,015,957,359,537,695,550,538,345,029,379,887,
003,222,915,977,134,466,928,698,150,343,182,182,895,598,628,682,221,952,113,
969,626,501,036,463,724,960,938,357,634,622,142,903,788,032,468,707,054,082,
539,852,149,901,456,537,400,336,797,125,009,147,395,663,420,035,781,043,621,
601,644,399,147,544,065,683,302,397,417,979,153,597,016,323,010,146,404,294,
998,513,943,249,893,291,307,819,093,797,912,473,809,105,769,952,403,453,292,
017,505,971,801,980,928,003,490,194,072,125,608,566,043,294,949,524,905,746,
754,348,716,536,260,250,894,273,611,101,543,781,624,304,898,124,871,843,811,
385,283,431,398,565,055,314,284,764,718,049,096,381,925,686,013,870,990,858,
091,340,857,520,950,814,596,734,959,314,009,463,531,842,652,863,431,897,002,
751,435,167,235,812,845,188,538,549,420,571,377,818,392,833,117,003,206,261,
827,361,968,620,723,478,343,200,063,670,122,226,881,954,843,976,685,908,895,
370,246,897,239,205,138,960,143,601,129,813,496,459,776,367,064,367,825,598,
220,809,961,738,440,421,200,186,022,113,643,360,740,385,554,739,750,313,010,
421,439,341,053,591,995,246,644,090,339,683,751,326,813,588,914,680,569,593,
886,101,025,520,571,718,751,375,399,822,163,930,474,984,600,473,078,736,552,
826,954,266,902,229,338,067,501,264,925,305,465,746,381,169,446,772,154,155,
839,287,828,255,300,460,448,636,571,706,882,237,589,963,206,987,558,155,861,
084,973,748,592,637,025,623,691,089,204,964,295,237,926,512,592,863,489,181,
728,285,907,132,380,203,697,097,424,274,179,808,204,818,147,276,791,566,470,
432,548,166,738,138,260,212,770,706,001,981,956,680,038,754,136,982,446,180,
284,145,013,143,706,339,214,323,970,381,186,062,877,468,979,515,384,109,492,
650,459,771,920,017,862,170,103,698,638,331,493,976,459,978,476,995,962,680,
015,419,932,644,478,492,093,891,984,349,670,886,576,157,622,767,294,230,981,
236,296,125,782,800,880,000,208,303,232,118,070,402,882,465,526,727,940,003,
190,830,006,355,712,996,797,000,258,028,986,041,637,976,944,137,798,482,689,
536,099,047,503,864,338,082,971,079,337,864,717,525,824,749,949,125,463,373,
132,764,475,797,630,518,999,133,977,962,457,151,750,490,756,613,830,224,045,
735,907,439,918,673,835,011,873,934,906,999,428,420,421,617,299,988,627,436,
294,529,034,355,539,064,744,804,962,193,124,297,882,711,053,160,854,514,292,
097,852,544,617,117,782,061,616,271,426,399,965,561,925,132,588,054,329,890,
354,731,058,625,591,761,511,708,175,052,292,910,667,694,906,683,190,575,008,
520,088,852,681,229,629,819,804,745,736,826,816,141,332,893,084,715,320,954,
593,043,637,753,247,724,023,743,791,667,016,904,972,594,449,250,023,435,057,
287,506,479,989,217,264,147,509,407,667,800,757,539,428,617,619,522,747,185,
501,738,068,409,177,833,866,314,291,034,076,407,245,282,295,513,890,738,000,
271,754,823,261,480,565,258,643,657,920,172,474,977,563,827,611,097,438,134,
265,791,451,596,156,314,934,864,802,034,574,391,797,295,842,147,893,821,138,
928,877,963,829,304,681,494,855,722,654,762,856,661,859,480,803,379,353,030,
242,200,561,851,771,499,800,883,625,639,337,234,032,304,333,673,668,202,052,
298,164,520,693,545,552,794,120,401,242,822,480,774,848,354,020,977,387,381,
814,354,984,537,517,297,148,798,716,845,719,883,762,139,143,844,455,913,871,
014,173,336,880,377,521,777,944,338,180,254,430,724,598,288,790,360,747,453,
273,408,140,713,932,442,151,593,913,362,037,880,894,165,804,742,661,644,806,
793,855,009,078,303,234,599,861,399,559,018,725,157,062,307,295,569,087,888,
521,196,068,476,719,146,391,060,285,653,915,188,951,731,284,938,375,966,090,
221,050,582,216,484,834,255,862,853,300,829,669,489,859,383,228,413,994,872,
383,471,486,483,492,029,931,172,423,950,541,142,875,258,321,878,016,116,461,
638,939,803,709,770,504,894,358,954,049,546,447,032,477,263,356,488,996,042,
976,550,117,448,098,971,235,838,356,789,707,940,144,382,224,384,732,045,249,
769,156,193,503,752,621,783,012,889,982,123,528,844,098,082,978,620,477,120,
565,871,788,328,039,725,440,252,252,433,717,946,446,740,427,132,138,623,374,
167,608,078,084,110,979,026,216,556,961,924,089,479,158,685,432,303,504,905,
732,944,685,011,121,618,039,335,725,680,317,826,688,128,444,172,922,509,527,
556,760,216,151,068,927,483,363,038,946,731,446,907,661,023,977,317,682,541,
149,531,890,634,299,043,379,273,581,022,220,445,924,807,918,824,945,303,432,
008,158,223,989,641,648,271,451,185,602,580,039,685,377,151,472,118,302,312,
006,000,484,776,177,071,688,256,204,676,367,877,999,794,839,896,281,016,058,
961,701,379,132,821,961,832,935,639,411,022,621,284,279,334,607,403,349,301,
624,910,408,303,318,371,771,091,943,465,076,707,136,457,973,921,921,914,312,
360,225,896,438,499,049,509,090,865,952,246,113,206,519,381,123,418,626,420,
765,850,640,828,878,093,378,031,078,981,330,079,235,870,343,593,707,948,008,
604,050,961,448,997,043,430,685,202,849,717,273,964,570,259,101,610,495,659,
432,285,157,055,672,082,514,420,471,206,245,382,832,220,284,471,398,511,665,
795,103,267,790,771,176,381,894,634,065,707,679,654,727,333,381,563,748,680,
105,240,014,540,001,023,692,070,905,923,199,040,787,593,381,214,438,917,908,
455,503,485,966,466,781,917,978,408,590,693,976,771,743,473,824,722,972,522,
025,370,923,624,506,770,999,290,963,135,610,284,418,484,085,670,003,857,073,
044,719,494,431,106,136,045,696,556,255,199,679,276,881,169,182,771,071,005,
241,439,794,000,371,256,184,386,665,526,105,680,384,688,041,412,778,048,671,
141,705,511,382,158,682,889,857,192,156,353,338,839,597,889,529,031,806,885,
983,317,344,681,522,441,996,990,716,632,517,574,784,881,582,094,904,877,647,
170,384,251,744,152,362,516,351,770,814,637,660,290,739,598,106,204,516,436,
808,753,422,139,088,813,767,363,456,131,353,697,492,765,636,735,826,361,418,
334,620,570,873,666,482,236,717,435,923,063,648,201,765,661,505,207,437,640,
277,161,864,485,280,900,953,368,717,835,092,732,876,739,501,185,882,681,339,
813,694,580,069,420,016,470,465,048,364,908,272,551,793,349,812,953,777,211,
207,301,870,762,041,137,581,942,674,768,092,650,313,009,826,425,222,990,221,
809,062,054,383,177,973,006,725,408,986,117,689,298,643,051,833,333,564,226,
765,342,031,573,650,908,975,374,525,217,699,686,540,176,559,391,278,088,240,
976,520,576,607,920,290,983,336,873,535,708,086,647,221,938,952,441,233,356,
578,468,771,595,106,804,829,517,148,192,145,183,007,824,451,601,747,040,294,
197,422,376,111,571,372,273,375,959,623,088,349,205,288,116,318,028,567,192,
542,698,033,430,735,745,205,711,148,925,074,396,375,298,624,544,331,674,573,
204,489,542,026,023,338,117,166,915,174,737,100,934,855,035,440,807,924,419,
663,155,776,760,443,098,604,275,839,337,028,593,468,431,781,441,033,653,988,
935,985,577,757,440,656,712,649,767,445,546,579,821,095,809,697,579,269,867,
963,152,045,936,849,313,174,902,915,519,814,260,145,964,594,331,156,296,253,
683,405,943,935,924,492,311,323,214,869,081,910,595,565,955,457,667,651,488,
651,845,475,619,198,157,885,092,372,596,654,235,012,972,821,711,539,442,415,
599,739,853,505,874,054,241,962,555,328,076,356,463,159,885,149,548,839,185,
416,392,402,819,379,900,955,596,813,977,437,978,796,836,580,028,325,515,868,
006,895,997,135,565,728,364,140,132,492,719,462,215,796,622,178,299,180,734,
393,368,372,759,012,155,226,782,784,499,499,409,723,198,753,422,354,858,812,
470,515,412,744,619,853,288,266,079,185,203,099,459,955,703,731,272,145,560,
928,802,612,916,017,884,285,293,384,355,456,325,727,412,780,533,830,629,492,
510,622,912,699,169,161,273,785,588,227,738,581,447,734,574,949,631,312,281,
688,649,711,779,321,279,048,389,074,369,587,641,888,669,419,699,449,252,463,
769,832,050,451,164,110,396,204,746,659,450,688,239,751,291,644,101,083,767,
093,120,106,794,460,475,759,550,816,280,976,349,448,352,191,884,430,758,695,
562,584,201,062,767,426,754,140,354,719,572,626,547,409,610,640,812,924,780,
316,116,739,591,617,987,672,220,791,238,394,941,408,963,520,786,248,279,142,
964,776,752,660,040,740,887,424,796,838,417,071,803,554,351,258,079,531,934,
934,034,425,041,763,050,299,410,739,776,482,612,807,862,082,855,045,370,448,
737,936,318,584,415,547,667,910,136,964,095,055,890,762,583,509,011,587,989,
954,396,142,480,530,305,509,361,630,493,124,315,956,347,291,890,020,430,128,
852,834,673,131,161,858,044,236,696,059,149,101,646,804,025,312,256,139,036,
921,487,073,007,868,825,830,799,112,464,107,317,934,486,842,823,267,951,693,
110,565,989,471,821,540,462,851,782,663,372,713,837,541,914,798,027,150,696,
971,344,111,791,958,653,391,130,707,579,657,201,682,196,734,951,604,349,221,
750,509,502,645,609,958,760,323,878,662,899,642,949,417,426,414,587,537,623,
676,060,538,799,474,652,593,970,217,708,186,735,248,089,045,723,543,679,431,
748,705,319,030,365,899,882,076,603,022,350,957,962,931,321,719,508,464,543,
364,067,921,015,913,650,058,249,544,591,144,538,397,405,892,829,951,912,843,
960,469,375,717,689,030,020,913,691,470,190,257,146,616,901,097,201,130,069,
791,999,701,563,851,202,530,841,232,305,836,836,974,513,971,423,823,388,395,
688,152,705,192,090,538,814,619,568,388,540,333,494,328,997,439,296,355,305,
789,586,648,119,334,052,549,180,803,291,852,529,816,806,559,303,111,463,401,
143,266,592,102,805,784,868,615,398,631,594,045,203,149,120,256,755,598,438,
179,841,121,082,448,801,912,377,533,647,333,413,981,850,183,975,623,361,833,
614,758,354,167,483,310,653,527,687,374,390,341,635,629,789,037,508,631,524,
951,199,580,861,943,950,680,957,949,967,010,844,039,765,379,651,165,748,986,
201,001,140,813,982,261,936,246,631,007,858,022,823,305,199,826,852,151,040,
233,303,130,592,716,446,170,757,960,867,819,922,479,856,356,257,154,456,149,
488,800,070,847,937,732,366,503,907,117,997,659,159,836,614,881,951,846,560,
647,075,726,004,227,035,513,544,165,926,906,182,045,986,285,071,581,361,016,
415,930,678,082,494,859,003,049,834,396,582,652,765,695,991,735,819,908,134,
911,336,679,874,534,998,899,342,900,871,017,598,632,160,930,970,261,927,957,
259,338,761,913,650,426,667,026,859,080,287,051,970,374,175,374,697,700,772,
919,041,513,107,641,064,597,458,574,255,139,115,949,984,890,787,792,734,584,
175,112,251,959,541,765,348,785,633,535,340,962,385,275,091,679,535,131,743,
415,529,512,568,597,533,656,447,106,804,847,373,940,197,709,874,289,630,311,
284,485,474,698,779,063,377,277,037,967,091,018,067,690,826,126,167,312,239,
339,757,964,774,981,773,972,544,316,716,622,503,958,337,261,084,799,032,418,
698,609,511,123,631,150,047,252,994,235,053,748,405,381,512,448,187,464,029,
898,532,944,317,574,596,159,443,265,565,925,776,080,210,113,292,126,347,714,
236,998,911,482,751,070,443,124,400,147,213,762,557,491,457,568,633,438,756,
792,568,319,684,389,565,095,672,023,289,805,878,677,274,464,936,493,538,950,
606,471,497,414,529,894,909,946,487,472,374,580,725,273,041,124,642,491,771,
998,319,429,786,126,320,961,148,569,288,986,188,120,889,310,751,718,143,134,
542,477,698,473,487,064,421,098,034,978,110,570,233,987,659,176,303,209,888,
239,821,630,716,664,591,140,951,181,120,234,177,933,416,610,277,753,726,824,
419,486,286,608,102,081,310,240,510,903,086,396,746,227,669,757,279,522,344,
325,803,111,801,077,649,151,776,821,165,509,404,976,566,785,137,622,221,444,
828,044,125,615,719,750,660,122,849,601,077,971,707,518,966,943,297,705,103,
972,114,211,190,797,205,839,815,883,994,868,898,659,143,929,986,548,436,947,
010,651,777,890,334,636,829,789,631,174,746,491,374,714,150,366,504,284,229,
919,789,256,709,512,056,003,874,639,332,954,580,718,516,412,510,159,404,527,
263,090,991,545,711,830,621,352,738,865,226,810,004,931,775,920,903,028,633,
949,333,470,387,268,387,704,164,359,675,121,171,814,891,276,551,778,792,399,
546,279,145,192,877,554,151,660,841,218,478,654,022,118,796,994,518,141,812,
471,844,093,421,065,434,892,861,373,215,252,210,986,524,909,714,314,826,997,
257,031,135,958,952,288,137,461,064,229,255,370,934,527,029,441,965,490,682,
202,541,214,484,664,352,976,593,249,361,664,736,554,316,081,798,360,739,975,
202,282,763,066,748,877,443,968,258,809,714,552,788,378,330,694,274,854,984,
294,599,069,576,793,899,367,379,520,539,031,604,323,420,379,326,435,998,753,
026,174,454,678,328,826,410,015,475,884,573,235,627,732,401,320,891,788,762,
505,695,590,658,586,691,111,858,074,417,664,650,573,424,848,168,311,075,077,
305,331,333,730,201,574,289,906,964,832,175,107,446,521,905,805,876,399,380,
973,907,455,879,156,289,059,580,655,548,651,619,295,046,069,742,962,330,898,
125,191,183,423,645,530,701,417,098,781,193,073,353,988,668,092,786,771,581,
563,356,618,758,725,870,702,545,521,456,142,510,673,905,675,477,679,372,542,
237,305,322,411,925,114,210,704,945,433,771,944,913,028,797,874,154,088,806,
327,157,724,833,011,516,308,871,596,438,313,060,586,468,381,606,238,486,428,
237,526,992,623,632,657,767,648,242,634,317,133,510,620,168,054,415,507,388,
072,303,195,264,606,303,840,464,554,393,831,012,745,150,154,420,521,303,695,
187,164,503,489,809,906,688,826,618,373,268,956,716,396,369,289,284,126,890,
411,670,362,220,585,624,061,901,471,635,417,922,041,000,534,240,019,643,425,
805,160,427,573,507,370,527,196,842,253,962,662,600,709,957,071,994,923,839,
459,725,762,464,867,584,216,439,133,250,600,498,009,432,773,679,335,758,438,
939,512,252,808,521,837,142,223,942,161,070,410,502,364,233,417,016,040,884,
491,213,709,869,113,969,252,995,559,688,955,441,898,497,983,561,665,616,709,
805,215,925,981,414,436,014,766,750,293,970,799,706,895,860,809,918,770,537,
487,507,501,773,919,834,303,070,886,625,944,764,952,065,565,365,259,500,419,
096,999,666,585,094,264,938,353,181,222,801,083,715,822,224,394,714,845,122,
989,990,266,608,253,005,700,740,627,104,951,104,498,786,508,466,307,847,008,
808,036,282,948,545,785,494,342,311,067,944,812,162,510,405,241,014,362,144,
425,174,487,296,390,324,251,984,967,325,469,620,408,560,657,350,033,482,896,
029,862,561,468,555,780,176,270,277,514,904,446,859,194,823,788,945,761,056,
019,551,981,281,788,580,861,761,449,000,008,737,118,831,447,277,199,475,930,
456,500,559,149,756,238,683,788,686,730,352,693,152,329,744,107,384,004,247,
453,057,246,305,490,137,027,091,554,510,551,401,471,912,308,981,644,141,599,
216,347,423,077,600,828,411,382,817,088,023,303,990,241,696,063,167,192,631,
018,120,445,116,846,206,948,868,539,673,395,807,478,127,446,355,511,779,888,
371,836,046,010,363,152,079,888,750,998,185,554,064,717,416,209,957,751,108,
932,208,255,543,216,258,340,107,102,581,076,896,591,824,718,508,654,696,677,
712,655,950,139,594,235,063,574,721,220,140,267,112,762,167,131,130,116,367,
802,125,335,877,417,223,668,021,821,429,501,899,051,025,980,024,134,041,790,
109,039,199,502,187,005,022,133,531,873,919,252,838,425,106,535,289,054,013,
065,751,405,005,652,769,311,524,965,314,363,790,262,384,147,445,565,724,134,
896,984,918,785,630,678,234,508,111,178,707,744,246,845,164,801,708,945,592,
505,446,611,552,694,857,184,241,701,060,298,109,580,681,572,696,610,268,109,
759,693,698,512,975,277,149,332,582,217,366,024,243,474,614,776,355,184,409,
964,283,651,100,146,345,931,108,510,141,814,248,484,361,853,628,803,142,684,
813,557,401,536,679,104,022,899,064,120,961,342,756,212,626,234,203,191,301,
222,533,296,275,977,022,234,353,725,319,546,199,976,510,464,164,031,043,721,
654,256,556,205,523,732,028,867,198,333,159,383,541,107,217,745,640,359,846,
659,779,326,235,554,022,635,016,872,145,649,725,037,907,350,316,243,834,590,
792,000,252,335,203,402,535,655,329,224,265,432,943,956,333,487,578,560,651,
243,962,148,725,029,987,995,499,893,998,355,468,942,031,130,053,924,184,362,
083,193,921,760,715,035,255,522,563,118,558,291,914,201,843,700,292,614,137,
333,281,808,909,846,361,702,681,027,830,519,379,855,363,524,316,271,365,786,
602,173,338,104,342,768,955,523,321,421,728,191,409,019,192,404,506,714,089,
192,950,629,890,308,485,231,341,095,007,076,289,264,691,205,189,162,505,205,
540,379,818,832,472,013,927,520,304,965,203,324,945,048,653,159,530,097,175,
642,777,340,543,526,090,873,368,394,599,322,103,352,249,828,983,343,173,756,
399,863,423,066,795,921,579,908,762,474,602,855,408,833,618,190,585,075,558,
625,558,311,536,826,812,034,959,764,642,471,926,082,018,256,410,119,678,606,
408,068,904,708,606,898,457,687,780,106,869,052,475,848,501,718,906,271,817,
162,194,733,837,939,895,189,075,941,641,909,761,491,452,084,058,520,361,522,
832,060,110,665,796,947,116,529,108,267,268,750,797,164,795,187,590,117,511,
513,659,088,828,633,465,529,976,094,299,308,203,674,443,094,808,971,773,393,
764,276,996,006,213,664,171,542,745,454,229,532,891,182,728,328,244,367,899,
725,503,655,965,806,772,729,214,152,547,589,362,736,369,947,174,772,326,313,
709,755,160,164,548,017,546,425,304,611,447,059,916,844,907,480,822,021,656,
485,892,870,235,538,910,759,441,200,127,305,917,608,821,624,204,919,532,560,
508,639,459,563,305,870,337,623,026,212,192,122,687,300,996,590,780,896,534,
663,230,497,117,389,425,435,612,172,754,413,995,805,723,073,037,658,354,862,
829,316,986,749,319,393,342,767,217,808,596,421,497,262,616,152,730,180,193,
104,505,175,250,517,244,955,369,586,662,170,042,932,367,248,289,711,240,825,
550,616,019,205,944,856,412,556,160,753,513,157,046,815,941,323,342,218,930,
146,967,633,196,760,488,600,533,674,802,578,746,456,185,341,211,306,125,072,
361,251,236,950,307,939,033,636,177,026,608,565,817,054,096,150,627,321,047,
804,441,075,249,365,451,656,336,827,041,916,977,678,425,933,685,617,530,291,
255,143,826,424,203,808,689,397,867,757,143,621,749,887,452,051,585,942,598,
190,808,139,293,896,066,957,101,252,723,064,762,381,432,797,763,635,682,053,
371,534,411,715,893,321,078,404,446,759,503,247,215,062,181,533,962,764,579,
153,100,658,405,654,087,097,234,556,690,615,893,780,092,192,879,331,815,832,
885,358,952,719,218,511,657,573,720,545,376,075,382,246,157,673,355,922,994,
799,639,691,516,198,243,831,351,286,177,133,321,080,606,593,493,358,872,012,
763,898,209,103,087,004,738,823,743,004,017,727,298,595,462,578,057,716,825,
578,697,389,282,220,359,540,618,532,015,002,578,152,134,334,307,963,083,886,
203,847,358,486,321,658,926,636,595,550,700,665,598,093,069,525,179,629,673,
544,418,137,120,356,027,674,490,213,989,607,500,630,988,730,886,145,375,992,
231,336,600,266,112,779,358,093,799,080,993,400,715,799,848,478,248,656,487,
847,619,076,856,854,862,484,628,093,683,471,956,209,982,531,930,253,492,099,
891,566,703,487,204,584,621,968,219,614,504,941,586,682,119,767,823,637,419,
949,951,903,894,850,315,354,877,824,597,798,621,668,950,442,234,897,091,570,
903,973,059,475,765,523,250,355,879,185,036,309,443,561,166,995,116,170,377,
001,573,242,879,569,667,998,113,451,856,211,990,257,699,305,062,601,592,645,
191,662,197,010,935,892,383,984,988,719,316,414,501,464,052,094,288,636,730,
719,682,417,832,074,346,485,235,185,891,548,487,028,454,830,085,519,517,169,
909,133,111,795,940,063,241,363,056,486,147,626,313,628,115,011,265,613,874,
187,202,981,839,677,573,660,582,095,523,454,978,698,447,378,475,120,839,008,
226,363,922,090,380,881,026,273,621,657,280,497,259,886,428,111,035,458,887,
265,787,376,401,570,741,655,913,661,179,421,741,228,976,241,869,102,102,625,
463,311,773,802,698,768,455,449,359,234,066,169,573,667,804,501,299,755,004,
364,273,376,610,886,418,549,185,701,660,564,200,059,726,089,486,053,544,903,
290,626,083,378,345,373,217,839,573,177,422,507,433,835,116,340,413,876,516,
091,206,829,095,714,045,476,210,699,351,219,080,257,633,157,649,253,796,024,
976,449,254,415,967,578,712,161,985,440,258,263,181,082,397,759,383,651,727,
798,184,799,443,618,256,228,774,395,565,975,958,516,510,543,213,337,677,248,
005,541,013,818,319,975,792,735,453,147,864,913,598,509,228,932,457,614,067,
075,623,035,774,127,225,336,259,021,799,716,681,081,653,051,430,016,080,796,
840,824,459,720,263,521,497,880,098,744,474,563,219,176,982,974,281,445,351,
554,015,229,416,108,427,440,260,398,295,680,227,828,260,265,716,662,872,282,
400,097,179,183,290,828,122,114,699,101,949,538,720,750,814,155,459,120,188,
437,698,299,061,168,269,704,183,036,716,089,340,550,535,674,178,634,583,683,
984,018,545,455,384,728,819,125,681,903,441,561,384,555,035,791,356,837,885,
299,293,400,518,773,229,330,957,517,924,801,695,075,778,078,113,713,721,844,
655,670,163,699,609,815,691,154,273,047,784,681,110,218,841,622,722,544,523,
203,028,691,751,317,993,038,356,293,271,266,489,226,593,353,704,748,500,768,
858,389,627,956,932,398,140,751,714,544,224,035,363,588,383,554,978,533,628,
275,041,218,926,181,493,575,473,583,561,843,661,569,488,270,850,985,089,040,
564,078,612,043,419,015,188,054,676,725,991,737,898,419,133,507,851,980,424,
880,466,271,640,047,124,550,811,886,278,892,319,797,507,922,779,087,266,603,
182,528,132,588,750,608,448,241,986,267,185,755,787,333,251,031,739,761,828,
743,913,945,709,685,955,784,299,499,193,564,045,956,682,749,806,652,469,672,
861,043,246,243,904,425,604,970,088,109,558,125,760,614,975,411,954,312,212,
254,949,304,830,323,138,774,511,868,387,091,127,046,288,024,325,919,222,863,
310,339,164,753,016,130,374,608,469,833,011,985,205,149,875,857,637,145,088,
176,601,214,318,083,805,906,801,821,814,694,731,639,544,320,546,990,302,178,
110,022,799,796,076,043,973,935,264,851,426,770,932,119,364,147,113,257,813,
041,930,709,575,505,232,690,607,074,265,941,711,840,047,289,742,492,770,192,
809,193,311,454,774,438,100,298,066,716,807,915,665,278,098,000,029,125,586,
619,391,476,787,855,502,966,092,221,481,398,289,455,622,959,271,443,340,132,
681,108,217,031,331,147,247,262,514,908,864,803,776,196,719,808,464,575,459,
546,704,295,486,063,804,477,012,806,439,011,772,916,601,853,109,721,666,990,
717,529,933,791,351,103,143,713,934,257,436,660,342,887,119,394,071,740,775,
357,804,323,613,810,418,573,913,950,646,799,267,293,613,301,299,920,613,449,
923,291,830,688,165,484,028,275,888,327,055,382,821,797,706,237,032,375,176,
906,498,759,931,331,425,625,111,076,469,109,665,717,757,782,745,201,622,099,
257,566,892,131,540,671,053,271,229,790,821,799,900,856,972,262,234,986,211,
874,429,518,255,589,615,592,057,517,593,321,422,277,372,829,149,133,135,580,
029,388,817,888,814,385,500,030,812,926,028,900,623,358,276,584,091,860,376,
779,027,235,450,304,973,885,723,615,905,725,025,314,648,973,435,834,768,659,
006,028,417,589,136,866,856,282,648,055,786,639,008,425,100,337,826,027,617,
868,039,015,141,199,336,749,855,300,734,125,056,928,966,747,690,576,649,484,
081,271,349,037,142,003,284,251,849,491,938,317,340,920,023,572,489,278,898,
918,102,363,883,584,351,013,570,161,660,394,819,309,109,228,948,577,332,454,
830,033,907,221,494,942,079,617,248,021,525,015,899,032,205,133,974,796,821,
032,689,355,479,464,860,899,560,716,337,265,613,588,249,177,214,489,503,331,
209,424,664,728,870,835,504,944,454,995,104,365,422,344,534,904,476,529,876,
568,704,513,652,037,650,284,944,923,142,689,959,006,075,900,132,834,545,004,
373,612,794,087,290,489,614,323,230,402,231,101,754,414,800,399,359,209,872,
085,059,135,493,168,642,486,970,884,716,224,298,585,119,982,635,424,910,410,
595,597,904,243,057,549,709,704,325,920,721,953,535,029,149,186,498,289,086,
090,036,211,000,796,263,062,858,599,825,117,535,837,430,649,219,238,729,995,
923,659,780,535,826,193,203,149,028,673,832,217,428,051,365,509,122,401,478,
431,763,941,944,931,213,467,539,245,199,450,247,934,337,636,202,318,677,085,
171,278,169,735,475,643,052,109,796,428,434,854,940,415,547,972,784,971,036,
488,136,058,211,303,617,724,770,166,818,593,332,954,068,011,086,300,577,375,
318,751,741,361,432,738,371,701,417,352,364,756,795,395,034,976,005,656,629,
774,599,044,930,903,462,170,617,221,068,956,129,362,269,906,744,226,884,647,
014,399,266,893,983,683,131,121,978,756,755,401,810,481,771,923,074,975,610,
073,939,443,881,313,936,325,956,090,293,214,059,460,514,379,275,329,655,739,
600,142,911,955,321,019,380,062,125,137,469,054,915,536,504,352,702,157,794,
273,658,579,187,309,249,049,094,047,514,671,859,686,427,560,662,402,988,841,
127,856,501,100,182,026,117,348,545,686,548,756,328,201,011,590,639,017,291,
566,645,192,851,579,144,582,497,777,999,738,412,671,177,008,701,491,845,276,
118,231,044,368,980,931,876,497,226,286,975,833,403,886,737,842,673,017,712,
150,329,777,813,897,039,786,804,399,128,699,476,986,578,932,626,175,351,960,
781,458,686,692,333,808,526,198,855,169,417,551,066,109,011,853,492,396,416,
309,366,545,471,296,406,563,414,236,579,947,591,682,281,823,134,620,366,755,
559,939,019,986,649,184,955,585,515,895,355,052,574,722,265,882,857,290,289,
320,334,123,908,825,594,895,955,630,775,401,731,591,275,835,262,034,539,138,
814,074,960,857,999,304,858,041,849,775,745,594,285,511,814,595,721,012,221,
958,438,576,475,926,684,548,962,711,385,846,842,108,043,065,613,419,646,065,
902,517,008,474,911,570,227,774,793,945,417,118,244,100,651,545,464,442,066,
306,703,541,601,530,984,501,703,354,401,172,113,661,228,534,057,744,949,589,
912,197,007,466,952,474,687,469,901,163,008,345,014,262,188,632,206,855,172,
167,850,518,831,795,742,608,444,336,107,496,777,956,832,813,610,443,758,901,
547,529,273,416,899,330,031,918,253,722,657,219,594,737,285,294,045,204,435,
540,058,392,345,620,955,048,408,541,880,544,348,596,872,604,654,831,412,121,
638,012,191,880,831,202,166,157,451,544,814,298,043,660,751,881,634,880,436,
944,657,295,890,525,469,858,712,881,027,655,413,974,108,670,464,323,734,526,
497,771,420,707,929,583,266,260,682,362,595,742,698,160,544,445,545,605,671,
791,429,167,836,850,838,995,973,676,083,724,045,450,825,999,329,440,269,127,
792,688,948,682,250,299,602,269,748,321,557,430,794,635,227,756,416,476,226,
893,580,264,859,435,791,005,990,153,413,017,773,443,126,187,472,606,611,595,
306,620,207,623,514,201,136,690,202,646,657,669,286,347,203,167,793,846,735,
332,867,645,248,784,969,968,767,885,963,062,961,805,194,363,883,072,070,065,
588,743,596,143,993,959,539,564,316,813,635,341,581,451,094,814,682,167,169,
308,697,676,335,814,063,864,602,700,239,446,886,738,041,298,618,626,800,183,
342,176,781,561,925,413,651,103,253,563,287,217,510,127,879,219,589,057,032,
998,571,949,557,253,492,718,734,471,428,122,192,785,742,626,344,759,558,918,
899,766,792,128,333,242,368,721,130,903,214,869,265,123,597,679,723,009,718,
347,755,469,861,201,162,748,687,569,717,803,525,932,577,650,347,456,429,956,
869,439,801,967,441,280,722,769,654,177,765,247,897,260,778,788,646,507,091,
620,210,159,641,117,414,389,116,885,836,345,694,986,530,787,435,752,941,810,
088,868,082,546,355,162,305,782,530,175,003,456,683,064,365,060,012,627,609,
717,006,198,761,902,002,529,575,187,106,402,761,425,341,348,595,725,752,690,
633,921,515,683,166,984,097,783,555,866,200,370,889,234,421,196,193,548,550,
186,204,612,319,633,438,766,837,937,139,109,110,586,535,090,922,877,832,496,
886,261,356,565,721,323,428,900,363,878,184,601,086,553,264,019,459,332,215,
404,242,288,467,775,222,587,249,381,500,572,413,276,982,881,415,701,158,500,
859,072,410,577,069,736,714,362,743,147,879,611,775,816,765,331,426,355,084,
711,122,352,864,414,211,018,000,469,007,018,621,758,279,355,007,348,909,051,
260,674,664,291,332,482,995,546,057,311,213,748,489,271,619,486,156,699,932,
787,364,334,616,065,829,511,822,360,435,801,663,187,480,199,717,340,196,203,
219,723,579,731,233,730,617,718,194,435,632,329,192,616,725,425,424,580,009,
550,744,414,065,426,739,946,614,580,231,248,366,413,374,591,649,082,807,476,
917,636,409,294,607,267,628,292,428,571,220,547,045,866,051,276,718,617,473,
275,482,663,432,051,002,471,463,022,787,212,927,444,544,482,146,896,500,210,
529,711,140,540,519,350,140,353,430,964,429,258,996,399,407,500,548,240,110,
875,279,618,975,663,174,368,494,715,109,558,898,253,886,067,176,492,268,390,
539,808,113,066,037,944,726,926,913,890,579,839,165,980,415,763,161,364,494,
246,876,137,178,857,251,395,162,841,287,100,912,614,079,452,133,267,108,647,
946,702,446,293,073,451,815,853,172,605,008,728,062,997,560,211,224,530,924,
002,571,477,443,974,688,544,872,009,377,321,530,236,520,891,708,043,860,773,
515,435,077,462,370,070,838,925,431,957,529,654,108,886,002,291,681,416,682,
073,321,377,947,743,844,118,457,494,768,725,714,579,546,004,162,089,256,630,
763,787,105,509,367,091,993,786,173,490,771,101,338,452,600,117,135,957,942,
531,160,508,993,355,436,469,769,678,718,385,844,199,877,339,055,445,801,777,
902,450,233,697,699,071,043,363,169,059,677,814,435,976,150,156,709,580,069,
046,681,950,034,796,782,029,502,061,218,913,039,754,945,202,713,865,756,626,
862,959,839,780,581,164,444,455,385,136,427,354,908,253,118,257,648,759,564,
676,752,334,966,640,169,165,565,856,094,437,804,101,899,159,016,908,746,113,
784,144,399,445,455,317,955,370,749,091,189,193,458,064,812,070,307,151,094,
943,988,600,053,346,970,659,497,560,255,585,130,862,419,330,033,796,479,450,
929,373,929,890,181,844,601,597,115,877,993,565,691,203,363,871,760,491,869,
620,488,965,180,084,363,569,315,187,427,339,089,134,043,876,854,916,422,269,
330,471,982,460,032,501,880,667,131,865,518,277,101,772,251,431,952,287,103,
934,694,886,166,829,189,413,638,729,191,948,302,488,382,291,088,457,245,837,
397,031,478,225,071,114,642,665,864,195,457,834,275,486,908,296,042,075,718,
036,917,383,932,140,035,054,885,483,406,777,430,124,739,979,374,973,338,447,
567,073,552,577,574,858,488,614,969,290,804,643,989,937,254,511,783,442,356,
933,244,123,439,238,292,868,187,539,317,217,422,631,103,540,431,797,029,393,
888,667,673,374,233,548,715,599,179,248,881,240,014,102,710,736,563,422,418,
500,643,632,527,274,000,591,693,305,219,400,416,147,919,304,917,818,566,746,
598,536,776,556,461,270,002,898,077,283,136,317,021,439,944,652,153,482,025,
870,322,714,064,426,352,479,500,324,938,009,908,302,507,880,598,017,040,512,
641,110,931,480,284,089,640,391,065,727,657,237,787,254,904,445,266,918,232,
008,403,246,450,100,691,729,420,844,869,809,961,145,260,294,940,552,141,197,
269,874,237,667,530,817,241,953,818,650,932,845,243,453,775,891,133,889,733,
118,666,925,808,102,963,197,116,191,152,685,661,423,000,965,528,344,243,583,
128,473,873,511,709,330,414,540,903,660,114,407,291,803,883,314,836,403,513,
126,044,652,328,020,170,534,685,904,567,412,181,381,399,438,516,380,802,290,
382,480,898,770,651,493,349,973,253,165,740,519,277,377,496,076,486,795,865,
264,211,657,754,028,423,670,362,124,169,113,493,088,223,739,876,452,778,599,
294,730,339,958,167,168,688,034,461,066,308,947,695,159,788,320,871,360,867,
347,398,566,989,416,468,759,972,863,632,436,509,746,336,786,447,429,071,762,
006,405,152,069,834,445,137,989,731,613,782,496,372,988,718,113,390,277,912,
128,728,543,699,491,455,673,768,327,482,192,124,665,942,036,107,556,878,071,
824,745,553,084,066,792,341,041,751,391,457,142,586,154,119,080,638,502,923,
398,775,765,171,980,745,112,098,394,223,033,746,536,447,187,350,929,754,246,
410,225,442,434,215,624,552,258,436,384,901,297,127,781,990,113,061,924,902,
968,860,815,504,897,509,923,902,222,043,544,897,575,619,508,087,303,986,831,
595,584,029,008,386,064,890,664,879,458,752,458,435,773,168,923,011,582,301,
039,371,939,175,797,176,333,289,666,383,898,219,463,157,897,574,207,984,911,
081,142,805,552,352,343,732,862,262,714,750,942,557,509,892,265,541,475,993,
933,286,301,611,076,775,870,101,853,205,218,238,082,733,989,160,929,979,364,
686,182,519,311,722,568,002,680,325,088,331,938,878,191,390,345,617,256,758,
293,639,300,880,464,997,819,174,801,605,115,719,298,904,705,224,727,013,933,
339,175,613,769,998,606,464,888,851,154,900,883,190,180,031,400,348,343,985,
146,256,544,648,287,811,937,292,601,684,454,314,856,754,811,417,659,695,014,
277,551,676,295,164,827,193,382,733,724,309,556,650,381,943,452,012,573,258,
615,601,614,077,791,028,292,639,288,767,595,419,689,785,332,457,874,011,117,
669,524,577,187,641,163,956,352,568,337,366,743,751,989,870,031,880,573,284,
292,384,386,579,758,618,823,234,293,457,632,487,771,042,141,858,153,663,635,
595,154,329,420,263,287,320,900,999,498,613,873,117,903,798,374,457,362,514,
628,083,570,492,379,624,695,859,066,406,112,259,769,829,999,390,950,656,090,
537,387,088,606,882,328,265,061,616,461,609,986,377,039,776,864,527,118,807,
879,260,321,446,774,689,686,715,408,095,606,462,089,235,319,272,470,998,548,
407,931,035,474,908,766,158,720,218,950,245,774,922,591,884,056,644,048,417,
536,265,900,677,329,311,453,774,503,826,184,132,677,013,562,863,511,927,691,
826,602,496,714,785,821,488,904,098,468,014,165,187,589,648,805,455,340,793,
429,039,742,532,103,602,272,467,918,316,402,692,430,252,511,214,477,190,119,
324,654,907,498,868,874,070,258,322,426,712,373,754,682,077,531,659,528,643,
196,014,213,234,004,898,551,240,499,366,030,187,785,910,022,946,628,157,279,
687,043,334,588,356,474,078,054,941,724,452,238,545,038,809,653,635,176,155,
543,778,501,880,937,874,211,004,073,136,406,477,283,286,557,715,230,640,466,
853,335,591,138,904,791,893,562,802,353,736,891,400,333,216,384,060,572,175,
624,566,438,507,133,603,481,432,587,841,842,471,807,735,900,861,472,678,520,
380,908,963,786,195,495,453,144,151,918,129,742,412,025,151,994,032,591,131,
756,788,200,763,630,592,008,881,558,855,721,680,753,687,835,678,426,852,713,
473,472,638,303,797,585,815,861,433,656,115,230,514,500,816,709,017,071,118,
967,335,389,322,064,724,596,835,531,270,250,328,956,909,465,744,769,208,636,
822,012,295,973,610,255,565,425,893,226,272,543,891,403,019,320,514,811,212,
252,894,181,387,629,328,277,967,355,997,985,962,313,654,382,215,398,285,201,
975,751,898,001,090,703,128,071,132,171,510,360,825,116,828,814,801,231,952,
615,822,940,952,536,689,874,507,646,297,568,158,021,050,931,840,463,917,209,
212,300,637,322,129,371,600,595,950,798,820,567,618,809,488,730,631,058,040,
630,057,378,659,441,205,635,768,821,623,880,926,781,038,578,660,454,668,027,
877,004,108,870,756,607,492,123,009,281,620,115,839,011,338,359,688,198,925,
015,118,266,700,252,482,443,222,085,591,150,551,692,246,533,071,582,092,928,
327,522,170,848,912,170,078,711,637,592,562,260,063,189,769,001,602,732,614,
893,233,419,288,432,067,579,752,180,319,944,455,882,415,442,637,843,658,846,
461,452,027,441,989,032,344,476,728,340,977,040,535,986,693,522,596,983,686,
970,266,792,798,252,635,044,190,823,457,340,804,804,283,659,797,488,539,362,
856,817,519,095,565,338,666,820,511,766,144,755,017,676,732,855,161,000,269,
574,034,929,859,980,742,302,574,133,143,249,516,244,398,511,185,171,540,616,
747,861,991,553,309,797,377,336,989,978,173,429,321,090,943,360,347,870,353,
969,686,484,412,452,860,809,178,128,855,165,521,418,846,115,379,951,732,706,
537,896,954,205,752,176,080,531,387,948,249,816,659,065,535,501,133,086,927,
230,434,973,914,019,679,463,242,323,911,384,656,699,347,018,223,326,606,790,
617,932,938,550,526,273,216,251,232,420,927,975,520,960,401,544,137,635,504,
027,597,801,349,960,965,539,822,285,829,984,961,187,255,423,982,987,107,982,
489,275,747,368,645,818,015,483,618,327,368,498,476,857,747,530,757,718,563,
390,415,260,874,407,644,045,886,348,884,492,112,803,336,727,156,113,216,269,
059,410,697,992,788,505,261,521,962,578,923,111,981,862,726,287,371,090,715,
628,872,581,795,150,317,783,905,233,945,210,675,672,448,364,609,736,792,967,
135,734,967,606,020,509,934,655,456,719,343,663,972,858,514,304,273,153,232,
969,730,984,793,708,060,520,171,558,175,390,658,196,452,238,941,937,318,799,
278,556,225,254,308,704,009,989,613,627,981,793,426,920,418,205,191,619,940,
904,863,515,202,442,139,986,449,036,505,700,691,961,967,416,480,739,502,229,
391,730,631,079,112,866,564,681,476,920,486,783,094,770,020,266,039,364,642,
921,648,413,410,880,513,227,131,439,367,665,764,193,504,535,136,429,692,363,
285,421,752,025,363,041,148,372,078,696,360,316,665,785,188,622,627,079,072,
368,299,347,579,870,428,437,104,600,818,744,317,785,418,784,934,410,899,162,
021,600,671,177,691,040,419,172,260,975,206,444,606,782,542,523,020,249,304,
120,557,665,361,558,966,627,054,115,508,805,737,942,744,720,807,931,300,998,
729,563,859,299,057,237,749,006,817,791,041,120,240,400,847,933,028,290,096,
460,968,792,850,988,922,040,031,366,021,544,032,429,091,950,577,921,820,208,
974,208,847,502,972,440,941,008,623,462,268,759,085,649,253,018,726,884,379,
440,437,760,880,026,126,461,307,795,572,635,554,093,158,481,395,795,128,137,
180,460,130,153,835,819,016,304,489,603,683,465,956,664,622,211,350,192,255,
667,980,668,659,006,675,585,776,069,501,904,826,352,937,480,743,390,716,075,
325,602,492,662,350,394,658,941,376,564,983,485,286,149,968,343,780,799,222,
516,345,103,974,662,917,162,377,989,114,112,587,556,640,385,965,400,742,660,
508,807,684,300,932,556,954,502,294,854,182,470,400,616,064,162,082,582,581,
361,697,603,812,480,786,037,934,582,484,168,061,755,399,032,430,088,328,864,
139,011,618,684,166,990,609,857,026,736,082,833,557,698,672,297,261,110,968,
560,499,674,320,060,528,323,095,393,807,140,708,644,016,661,957,405,316,207,
481,839,764,158,576,107,034,994,615,102,440,402,872,737,457,012,091,761,698,
966,977,318,760,121,878,329,344,493,699,993,621,354,609,247,945,135,080,037,
834,120,899,878,909,530,674,899,372,294,414,501,883,525,988,105,950,114,809,
918,578,565,398,850,219,292,573,373,173,797,339,597,406,479,664,323,933,270,
505,782,012,960,118,142,593,616,455,275,940,444,645,344,074,541,247,748,321,
257,031,220,849,775,559,958,712,960,770,724,427,751,912,698,654,453,905,456,
750,958,267,321,432,338,463,146,937,284,555,783,309,481,162,903,330,143,817,
420,344,191,822,433,720,343,135,253,718,923,420,817,819,600,388,685,332,185,
701,166,108,633,318,634,411,608,217,265,625,121,946,157,668,657,673,407,543,
425,348,044,220,106,159,642,198,565,198,351,187,113,705,040,694,443,046,143,
118,099,420,540,104,870,069,074,495,384,382,491,828,327,523,049,409,383,603,
503,310,542,560,284,036,935,851,651,761,329,530,347,038,414,430,609,411,884,
370,721,700,629,501,998,212,869,239,298,823,202,696,049,318,343,366,547,598,
053,814,313,133,864,721,853,910,567,632,646,294,448,683,320,180,966,912,248,
917,368,750,870,134,884,136,882,982,902,033,787,425,957,244,956,503,711,609,
004,743,685,405,007,864,245,752,612,994,612,331,363,594,860,540,711,237,409,
051,662,797,691,593,831,707,572,332,670,928,022,494,139,684,901,706,310,592,
389,057,554,873,116,125,906,734,313,508,100,023,848,367,059,305,742,769,930,
466,047,188,370,701,670,753,405,540,832,628,011,745,092,741,279,189,255,291,
508,611,631,317,798,012,278,522,664,393,915,752,864,938,863,105,811,380,843,
645,478,325,851,981,087,576,998,792,184,349,700,309,145,359,365,620,272,705,
003,345,180,404,543,596,683,650,635,665,801,531,668,737,013,843,953,296,070,
002,745,359,050,400,430,037,237,729,834,157,606,739,673,052,305,651,809,893,
617,801,146,539,085,980,489,156,289,820,259,023,664,657,786,471,425,977,921,
164,480,145,624,656,902,539,036,603,295,390,584,921,397,536,019,080,331,535,
635,430,790,921,833,269,950,041,428,805,023,052,114,986,022,962,127,074,081,
317,554,803,501,922,298,389,461,302,857,295,203,746,440,663,047,336,498,131,
270,306,550,801,004,315,420,287,640,586,711,198,309,354,185,572,348,451,610,
897,964,039,916,680,211,379,164,177,270,310,517,633,943,642,368,492,553,337,
662,599,925,540,010,283,201,717,581,885,779,612,626,659,413,868,838,532,218,
940,711,640,554,211,669,571,153,276,746,073,647,486,745,220,191,849,891,178,
197,486,955,800,698,758,831,368,725,504,365,854,749,811,404,644,768,736,775,
268,221,982,863,628,746,917,374,342,329,233,885,337,894,522,086,315,767,755,
557,490,414,285,646,119,473,477,235,323,443,294,346,979,521,932,173,553,811,
704,283,985,507,262,275,405,248,430,284,050,745,211,713,419,734,368,602,833,
516,756,830,333,173,280,591,058,913,659,321,161,383,190,374,326,994,920,229,
053,886,580,008,856,240,072,341,369,813,751,187,742,285,416,124,042,849,895,
222,125,599,633,900,909,358,046,711,645,816,569,651,438,260,563,730,072,137,
554,399,431,308,459,357,929,881,653,889,717,868,500,932,057,191,735,412,937,
508,547,766,357,726,168,518,075,010,472,274,382,570,561,081,472,749,544,586,
860,826,395,701,269,708,890,279,522,586,023,704,059,545,577,920,063,996,947,
476,793,290,918,848,241,004,156,933,863,329,078,221,037,026,143,759,304,407,
791,729,383,301,291,970,427,147,416,795,391,266,535,873,063,804,872,707,585,
502,691,630,521,432,383,019,263,892,719,177,019,475,561,050,949,651,116,368,
107,878,001,390,091,969,491,091,910,402,344,693,418,625,530,473,981,302,999,
123,736,820,386,272,599,103,080,767,897,669,584,188,090,621,937,663,000,084,
919,903,326,312,783,245,513,664,752,230,577,097,031,258,535,669,775,255,228,
669,241,487,625,020,916,387,466,789,257,192,284,495,974,464,669,998,939,268,
906,600,353,212,837,975,366,386,816,005,838,402,857,684,721,452,959,492,788,
258,091,091,087,954,813,189,652,629,602,958,539,904,273,392,210,769,290,587,
370,374,755,396,458,171,165,161,696,204,654,333,780,428,662,365,820,117,423,
433,057,699,974,848,863,736,518,763,494,774,873,141,070,182,243,232,112,880,
652,094,737,039,672,955,865,980,755,582,753,082,203,744,724,205,457,984,313,
694,103,988,418,485,108,304,682,745,644,205,839,571,744,304,051,113,595,368,
854,742,089,876,695,783,057,431,040,353,456,931,731,722,132,814,333,580,018,
835,463,463,588,420,624,138,217,841,346,430,111,748,218,790,449,112,307,823,
480,993,610,382,562,211,973,270,196,287,617,050,608,867,252,833,781,831,881,
887,771,483,170,014,023,501,875,950,875,455,237,068,855,487,396,895,870,434,
973,664,714,398,403,054,896,512,578,435,248,568,234,936,822,707,578,206,179,
034,466,770,885,712,228,265,254,760,864,638,875,140,821,154,771,875,662,640,
258,430,440,467,262,545,345,553,481,819,115,177,349,305,109,855,096,543,907,
007,088,920,527,133,757,800,148,340,452,308,056,161,742,459,339,043,382,674,
755,506,561,176,772,011,823,142,258,437,069,552,575,073,122,635,579,870,733,
034,748,073,465,355,078,317,785,680,896,799,858,282,490,813,910,204,833,393,
107,509,623,108,101,189,771,615,613,374,646,476,592,234,610,375,558,982,339,
782,079,888,252,938,775,362,148,550,534,430,960,237,457,876,675,958,906,404,
092,680,995,753,507,163,338,379,775,844,849,343,166,614,579,080,080,013,543,
766,613,614,046,252,446,850,789,188,895,678,054,968,947,774,170,937,581,805,
009,350,082,014,783,792,049,312,567,424,166,943,562,423,892,242,702,370,133,
057,193,988,885,017,340,097,929,470,816,152,975,348,168,092,546,305,246,358,
012,734,107,584,549,380,070,935,029,752,945,515,672,415,038,491,016,510,057,
197,177,972,931,730,163,701,473,723,049,008,642,567,400,354,753,021,428,681,
185,850,058,444,786,090,015,459,386,112,653,651,956,288,047,148,806,154,941,
308,735,678,753,918,611,313,126,215,877,478,845,919,769,624,558,817,143,203,
358,263,340,563,671,022,134,565,674,252,443,096,998,646,698,421,843,357,789,
285,818,715,304,669,741,943,719,848,041,994,307,486,272,493,896,085,769,453,
394,056,380,213,714,468,960,881,318,924,143,374,168,859,742,082,756,160,722,
347,998,967,361,339,774,633,897,434,344,125,677,542,678,418,957,548,851,958,
565,955,473,444,298,290,114,878,763,327,552,721,338,001,832,908,323,608,724,
987,138,866,899,301,933,879,115,392,863,713,798,221,661,671,667,983,991,589,
792,553,740,206,121,477,761,312,525,849,430,204,381,242,075,455,603,794,543,
406,025,810,255,838,753,018,492,883,012,052,714,611,024,520,645,633,958,205,
129,668,782,684,284,673,948,115,556,475,294,375,700,630,254,909,174,378,945,
703,428,373,924,020,954,317,070,926,739,086,993,695,457,059,641,513,119,049,
002,106,280,418,448,233,804,854,006,891,237,415,344,887,307,669,341,650,703,
643,881,218,674,438,774,462,801,290,561,148,366,736,941,140,196,909,398,636,
714,529,394,551,213,694,552,506,193,357,348,729,564,691,142,702,374,177,207,
139,951,455,713,003,589,864,623,032,955,983,909,312,432,144,028,598,527,521,
878,750,252,123,127,751,242,879,346,962,026,330,128,193,166,499,492,077,584,
997,939,098,776,188,512,800,178,100,911,648,185,849,719,116,095,220,665,204,
699,830,352,474,273,269,554,462,685,014,998,361,099,346,474,339,075,698,114,
965,258,597,862,250,501,996,496,578,462,456,190,684,829,813,664,182,279,473,
619,304,243,032,463,010,439,428,204,070,088,676,259,248,712,695,842,684,522,
736,211,946,761,462,319,675,618,631,711,740,268,781,642,246,099,503,504,160,
078,544,494,306,923,184,680,830,808,049,590,031,092,758,580,662,021,337,112,
854,720,918,163,274,162,568,170,123,879,945,183,017,761,916,300,996,949,087,
929,390,260,265,096,496,447,061,042,171,293,005,085,929,260,917,932,433,584,
682,755,277,512,815,045,720,892,163,271,876,361,755,567,521,557,821,992,672,
936,810,415,783,695,793,811,953,585,660,060,213,161,647,261,725,712,017,133,
736,102,930,058,036,034,805,655,408,302,898,706,205,608,606,598,396,017,789,
940,788,950,256,496,348,476,919,830,716,643,866,701,977,242,746,391,816,846,
621,367,589,216,172,777,621,739,211,491,181,545,775,298,235,180,436,309,424,
504,378,104,004,250,145,823,051,500,132,871,357,063,999,495,325,585,315,536,
117,346,841,195,165,787,185,134,092,714,953,821,351,624,115,223,152,283,897,
031,336,358,379,597,265,737,684,711,256,999,170,912,662,479,295,138,806,717,
686,474,219,115,959,678,225,366,504,972,495,022,637,085,185,531,181,549,829,
894,936,758,059,411,389,672,747,809,549,467,896,892,121,188,567,335,434,073,
533,407,246,325,913,277,526,118,975,079,279,265,144,674,240,872,858,474,551,
983,988,920,283,722,130,074,946,705,550,748,305,096,329,995,300,072,047,398,
664,669,635,805,945,802,586,787,659,552,956,745,747,006,969,738,766,341,754,
021,231,233,328,899,058,138,979,091,043,985,951,184,074,804,336,631,252,089,
283,192,625,845,108,156,806,708,462,268,947,603,969,032,328,238,524,353,623,
042,672,366,526,477,204,286,995,236,835,947,842,208,909,709,795,801,794,877,
158,737,471,200,956,491,206,748,249,877,724,874,098,613,437,473,776,310,067,
384,723,663,458,498,378,302,187,729,671,670,349,970,802,174,591,047,789,287,
213,068,655,666,709,171,798,299,437,885,395,204,897,706,380,297,707,707,622,
476,166,579,187,954,529,004,322,222,348,022,658,464,832,407,744,165,557,490,
651,864,582,286,747,330,406,908,594,537,269,549,517,189,066,821,081,251,344,
328,533,183,845,652,285,039,629,071,139,256,521,861,028,635,700,414,577,585,
432,760,969,004,135,132,640,749,654,990,160,895,285,450,522,204,593,204,304,
077,826,716,878,992,099,562,500,487,905,940,305,813,691,943,088,755,075,504,
481,891,445,071,123,504,453,702,925,888,369,373,235,209,836,073,743,266,338,
595,980,710,974,376,129,539,814,242,062,097,591,931,702,267,887,437,176,921,
326,854,288,950,025,726,595,861,670,720,120,884,625,645,298,409,192,789,933,
631,352,545,742,069,668,898,542,043,333,324,914,305,270,653,716,973,013,773,
406,325,049,599,138,764,055,638,069,035,781,572,883,558,719,714,102,367,165,
433,400,168,322,322,539,837,706,163,348,551,393,784,163,684,941,037,309,869,
656,036,511,279,041,824,421,033,682,413,484,822,751,451,084,355,791,768,683,
024,482,668,946,826,467,522,694,279,526,886,305,736,702,242,339,483,650,886,
723,556,015,832,920,295,308,734,687,056,918,419,478,570,033,065,155,643,471,
174,556,916,161,955,754,523,961,480,105,612,745,618,508,564,967,180,591,613,
517,458,770,491,341,569,803,928,943,503,940,440,883,987,168,412,839,698,998,
308,266,017,193,955,466,621,560,906,317,863,625,386,530,196,772,043,953,325,
698,906,946,979,331,544,427,353,136,897,480,206,402,875,546,382,096,520,871,
989,782,119,513,929,790,344,337,911,639,602,531,640,976,930,534,836,617,541,
583,538,642,494,336,520,376,485,163,289,148,378,955,932,316,507,931,470,649,
832,347,618,466,913,227,589,410,192,447,826,420,887,553,945,817,600,717,076,
843,809,986,080,125,369,712,454,560,758,885,642,807,422,991,795,913,621,925,
824,317,285,484,909,728,445,539,605,373,534,200,849,402,088,165,420,369,828,
632,341,586,869,874,329,929,202,835,707,114,335,384,484,189,941,470,236,976,
379,419,257,890,204,045,864,161,468,036,560,310,669,269,417,617,357,450,570,
475,027,271,955,013,154,407,165,318,339,879,613,722,869,206,896,715,094,912,
831,218,448,221,806,351,307,193,135,319,992,456,466,312,381,666,926,397,026,
959,288,007,944,518,790,873,334,002,518,721,919,983,265,054,517,358,981,916,
093,451,979,585,507,038,700,278,816,821,433,464,645,090,087,203,610,695,357,
084,514,717,698,214,744,300,224,589,126,458,126,539,534,587,803,821,279,300,
735,150,077,526,252,003,077,881,755,989,156,497,913,765,439,830,817,941,140,
743,886,594,225,834,285,061,640,776,879,548,956,568,653,098,405,544,361,301,
086,846,952,551,669,041,423,822,305,073,828,373,987,614,534,228,239,519,480,
519,756,213,019,785,496,457,959,184,581,416,982,826,994,365,501,374,765,250,
159,408,611,337,493,043,524,251,775,153,973,533,163,841,921,202,967,592,475,
877,557,012,786,713,922,650,548,429,082,051,919,780,917,934,247,973,860,247,
770,147,881,514,506,900,988,485,002,685,309,026,946,509,391,108,537,911,504,
420,456,020,945,014,924,964,149,823,902,680,308,730,877,716,308,279,782,688,
057,176,156,132,099,898,229,083,215,223,161,069,025,382,340,107,553,126,410,
027,625,423,195,496,533,232,637,702,088,605,310,593,841,929,359,920,414,189,
934,121,983,633,920,622,115,726,026,620,471,726,903,248,765,425,337,837,829,
674,622,564,269,786,857,178,712,942,466,744,026,742,540,358,993,549,886,319,
411,400,771,297,267,783,493,594,059,710,445,560,808,935,651,390,928,661,155,
395,842,500,581,263,829,901,012,068,671,517,363,697,645,960,267,661,880,878,
036,486,928,030,106,100,663,272,981,189,806,478,899,366,546,306,010,467,719,
382,120,666,569,173,012,962,704,633,807,184,930,117,609,736,348,266,893,507,
248,811,075,603,877,589,896,570,639,113,915,254,866,455,106,402,343,863,055,
866,630,599,212,083,500,228,656,030,016,754,967,243,423,951,430,479,600,054,
871,153,001,321,587,006,739,263,124,238,081,009,502,454,394,449,076,945,800,
719,147,648,938,564,636,848,381,359,911,742,061,072,056,534,546,916,708,574,
592,275,329,290,176,292,280,492,352,452,332,262,650,161,921,042,465,929,490,
425,237,514,188,272,227,341,178,694,630,113,006,367,223,883,178,162,355,694,
368,575,568,602,006,993,888,722,440,450,204,213,900,003,713,845,092,570,428,
142,219,965,183,943,768,004,179,459,601,777,524,535,036,307,804,312,961,200,
392,095,250,841,223,942,268,102,434,345,266,170,098,848,392,174,440,297,006,
114,838,712,794,395,622,612,489,868,085,121,938,829,480,755,819,700,271,883,
930,077,944,831,913,327,998,010,170,075,674,539,299,450,226,006,728,328,027,
698,817,252,335,412,794,486,770,835,343,557,759,525,129,688,764,472,170,808,
098,811,721,558,248,963,973,477,852,044,942,484,595,718,860,425,877,565,424,
533,915,080,666,409,527,045,809,098,323,131,902,706,901,200,942,340,163,643,
523,898,174,680,757,854,539,388,002,400,164,138,558,306,714,899,951,012,816,
895,694,838,057,642,546,640,918,437,178,154,104,111,952,026,063,353,153,571,
422,280,981,756,699,739,384,084,043,574,982,854,658,425,163,713,394,141,755,
969,753,504,097,517,252,442,296,338,264,642,919,484,484,414,643,273,891,416,
448,481,082,008,054,838,122,238,023,704,301,696,694,061,628,200,774,608,168,
986,107,336,674,068,366,784,369,179,842,565,816,406,752,546,423,455,289,276,
122,427,309,489,192,778,435,155,511,389,910,269,599,873,482,977,222,736,544,
643,277,205,011,047,656,551,135,924,770,644,801,492,006,620,906,382,418,310,
037,915,957,399,834,470,197,617,450,460,715,732,185,394,614,892,502,308,036,
195,535,427,185,333,328,158,214,001,723,254,286,709,465,441,762,001,962,655,
544,600,188,002,538,856,740,680,041,606,437,094,991,931,858,746,800,430,888,
326,655,436,464,826,300,966,495,246,660,505,102,379,046,184,541,582,078,550,
180,449,559,692,166,674,081,661,223,045,920,915,965,379,141,241,015,196,384,
869,172,674,318,053,711,567,239,431,242,113,159,467,974,741,067,034,243,085,
189,576,240,968,856,256,736,877,491,228,703,640,784,193,735,735,381,574,116,
682,845,467,727,800,175,533,509,618,648,314,422,632,176,854,791,116,992,007,
953,057,223,884,357,190,658,205,687,525,563,347,378,389,743,730,526,766,021,
336,065,680,668,032,565,340,796,073,175,973,326,511,036,914,509,231,792,177,
307,476,293,389,205,055,802,881,600,115,754,522,884,125,576,669,897,424,266,
150,101,989,439,935,028,694,729,393,695,268,324,066,110,739,890,602,502,033,
046,709,380,591,396,989,248,465,882,472,330,549,762,496,713,299,486,029,771,
454,183,264,696,897,715,278,683,406,121,934,661,567,298,874,196,348,584,154,
497,934,668,170,138,632,184,193,293,437,806,724,780,151,547,205,510,359,392,
635,673,734,919,050,855,204,850,869,364,043,490,816,581,791,063,296,336,778,
111,309,924,990,441,953,498,985,431,952,004,034,810,532,805,090,585,901,864,
955,023,644,619,571,519,127,089,243,510,055,558,084,192,349,612,085,316,129,
710,925,258,433,673,226,087,695,835,573,824,044,199,269,965,539,483,239,365,
778,238,304,723,844,898,181,755,846,677,643,170,634,696,679,917,866,554,187,
617,885,498,990,101,991,357,955,979,225,340,611,241,083,453,547,580,267,255,
298,903,553,963,431,336,970,598,040,361,274,887,456,850,733,045,703,687,054,
781,773,022,808,748,696,266,866,829,911,032,021,621,391,858,938,098,999,014,
509,018,072,153,047,751,826,922,202,082,577,060,725,162,352,944,395,551,039,
907,969,735,321,528,782,917,887,272,650,889,849,275,964,281,726,611,961,503,
837,165,857,416,771,131,602,633,368,806,542,593,002,321,849,489,094,542,057,
422,565,862,707,187,906,338,337,731,411,140,958,719,888,146,897,286,417,749,
444,958,463,422,912,051,170,779,329,620,881,051,912,817,489,777,199,487,234,
600,071,976,522,410,576,932,393,730,400,512,266,038,427,926,942,102,417,827,
745,868,536,852,645,150,408,921,854,987,062,823,272,212,853,146,267,586,432,
041,082,684,040,753,414,867,305,967,188,584,073,078,444,205,556,165,319,287,
543,905,167,292,591,115,138,300,072,972,755,618,572,079,454,945,459,800,671,
950,675,677,918,299,460,077,877,999,492,811,719,561,576,771,192,771,044,812,
104,565,173,511,327,595,086,289,279,697,163,758,491,322,709,462,174,175,431,
842,675,494,378,611,022,876,184,831,535,623,844,962,323,395,023,431,099,078,
414,447,258,890,780,836,024,684,900,844,776,507,887,342,980,695,930,837,989,
020,234,801,858,692,661,906,387,241,309,715,210,281,369,863,059,565,651,991,
308,431,753,689,467,299,604,871,204,981,613,332,712,726,583,900,042,949,068,
184,361,764,475,368,089,596,556,366,952,488,699,520,253,017,534,025,431,013,
479,357,115,570,976,999,089,721,075,849,400,823,427,648,342,958,119,073,064,
918,716,756,650,509,519,680,782,781,455,941,169,873,958,308,868,632,112,466,
615,328,905,286,691,758,801,187,191,179,811,690,969,113,826,388,097,933,956,
922,593,887,613,698,088,030,513,499,244,277,082,300,832,764,247,165,199,784,
124,155,233,897,781,382,222,013,029,155,138,546,372,419,249,775,169,570,740,
734,461,948,061,936,848,774,320,539,547,847,538,361,359,052,119,870,949,562,
083,290,256,244,621,137,877,153,017,459,164,891,060,114,343,303,956,471,965,
813,927,349,414,829,432,110,209,175,195,260,019,230,454,029,927,830,637,332,
459,798,193,970,796,965,424,248,008,663,397,082,594,719,472,712,795,478,141,
741,031,322,274,854,841,816,524,152,964,142,903,460,281,524,565,612,653,256,
951,412,619,590,984,082,607,486,717,598,471,057,231,705,175,591,376,345,275,
389,664,519,812,269,036,657,535,119,093,604,099,107,180,004,266,077,445,389,
051,801,289,158,185,286,311,901,434,246,456,768,602,634,705,244,490,815,708,
107,439,583,459,001,061,629,840,787,259,496,065,386,124,662,505,113,887,923,
859,336,663,084,504,837,313,031,933,737,977,472,859,227,396,891,037,958,204,
143,412,077,700,431,273,221,272,566,794,667,287,619,663,548,364,098,187,202,
840,078,202,212,835,195,266,275,555,914,199,238,716,347,481,661,388,248,477,
813,369,173,692,567,345,005,279,096,685,217,832,937,766,778,516,122,532,919,
038,227,425,777,100,824,935,495,377,500,238,625,329,149,533,242,264,622,927,
805,681,417,141,914,889,010,062,121,446,100,633,065,987,591,675,996,522,648,
203,017,877,581,796,151,841,146,597,479,568,457,931,684,607,481,195,937,821,
064,074,626,663,656,678,844,529,302,671,113,872,948,287,852,550,052,506,376,
273,347,471,883,852,506,503,564,991,880,384,491,255,653,259,146,685,753,316,
538,953,305,078,990,709,641,265,742,030,967,901,556,911,206,538,201,056,792,
782,841,843,251,626,110,059,361,775,757,054,370,930,494,706,757,025,857,475,
172,964,785,117,366,173,721,326,199,495,080,365,401,453,076,096,893,423,493,
667,947,830,615,648,483,932,587,149,031,081,195,101,705,162,420,635,143,959,
864,487,550,561,814,778,601,426,150,931,582,716,248,559,871,059,747,239,774,
900,237,633,455,184,930,638,253,317,336,669,668,127,318,366,073,473,920,102,
512,978,986,550,655,117,171,104,263,270,641,910,783,901,246,945,399,102,309,
527,085,726,743,783,039,058,008,758,868,500,112,951,149,494,485,793,487,363,
062,683,558,796,433,861,935,947,589,526,613,815,409,083,747,711,417,860,115,
034,448,487,063,367,097,778,664,194,009,167,843,342,616,936,411,424,626,933,
921,609,925,044,738,987,718,162,345,826,732,152,858,714,292,863,963,851,929,
353,227,633,153,777,993,442,255,607,608,722,588,039,315,411,253,460,861,522,
068,412,134,872,367,928,481,899,887,882,054,592,230,571,887,165,145,432,816,
197,660,123,275,807,401,741,783,118,256,051,782,163,402,504,024,415,841,365,
806,316,049,177,146,948,786,963,307,746,748,475,883,018,191,920,048,954,940,
218,121,310,575,670,170,001,076,992,484,334,120,032,460,221,651,438,362,540,
801,996,949,440,295,403,573,180,475,304,274,648,551,101,599,714,909,588,418,
519,472,745,123,119,770,944,663,099,960,554,178,810,201,336,583,096,365,947,
155,532,655,623,653,467,894,968,596,844,853,045,132,901,575,287,046,676,077,
770,261,675,074,851,170,628,148,525,252,316,213,254,755,969,618,442,889,775,
058,250,715,943,893,619,710,790,743,011,385,614,754,467,074,439,664,724,965,
155,492,062,377,183,893,858,185,312,708,804,004,555,660,216,179,041,276,352,
487,931,175,923,793,063,156,188,577,660,983,560,253,247,138,358,580,012,128,
032,253,731,949,038,411,980,404,901,363,527,872,760,893,259,152,491,307,224,
628,279,269,980,810,541,790,805,177,502,361,892,917,165,569,050,862,114,967,
178,657,337,371,017,477,804,818,693,481,142,816,437,343,840,519,991,270,826,
535,622,966,203,634,717,612,557,496,589,061,140,068,507,705,532,737,914,860,
431,982,117,857,574,411,338,332,162,838,899,558,869,033,355,027,504,502,954,
613,320,691,387,493,185,515,023,231,457,707,880,267,361,853,428,976,602,916,
442,210,883,476,798,248,227,358,526,319,955,523,076,369,688,923,838,860,949,
275,033,282,283,088,700,169,413,755,301,521,976,654,203,471,698,448,000,099,
703,638,022,597,063,704,722,012,056,145,661,868,479,623,924,871,993,196,821,
033,619,459,694,881,668,720,295,341,675,646,677,255,711,728,874,331,522,955,
680,906,623,242,473,418,364,729,026,229,003,671,478,286,451,253,226,253,588,
766,968,351,420,366,648,644,835,338,598,036,848,147,284,221,680,038,775,281,
783,668,569,465,425,535,792,901,068,158,458,164,994,495,324,062,025,030,088,
353,226,817,195,788,540,810,094,176,680,955,369,742,767,106,888,961,812,437,
640,675,115,617,050,501,031,914,884,113,071,197,736,965,333,033,892,999,265,
424,073,048,707,824,035,500,390,939,522,980,117,113,993,947,564,067,108,262,
095,307,199,947,039,733,866,392,016,239,978,572,599,654,696,048,712,735,175,
699,267,712,011,960,126,377,452,388,721,824,810,036,060,319,283,053,544,600,
689,074,341,294,526,970,610,044,099,558,098,269,022,726,228,509,220,671,408,
180,618,473,959,720,528,544,262,249,747,584,263,415,527,603,817,515,119,371,
718,954,112,037,336,825,997,360,855,844,710,696,991,586,147,564,971,550,237,
986,345,478,709,004,317,982,925,719,878,937,638,756,626,472,664,605,285,205,
785,598,189,343,966,215,976,742,158,979,046,362,983,571,812,706,743,738,904,
213,686,943,579,781,420,664,823,601,210,141,171,639,582,545,318,810,862,755,
423,579,117,258,114,914,199,133,093,391,362,288,406,289,491,903,218,934,480,
912,268,515,854,751,976,710,155,011,478,034,371,267,317,820,821,581,775,789,
808,790,130,053,596,585,653,479,761,569,466,532,231,988,951,617,118,146,155,
164,327,007,846,550,278,645,460,012,977,181,400,279,747,083,157,491,414,301,
475,253,402,113,741,114,799,581,458,639,147,201,195,330,068,402,827,080,231,
948,944,175,003,649,693,605,906,582,149,281,279,336,923,223,296,543,024,893,
012,045,828,226,780,525,660,870,365,593,435,503,814,924,931,343,391,536,332,
743,754,829,630,938,566,223,103,558,523,186,385,841,437,183,423,065,781,152,
607,352,279,187,880,379,802,651,185,517,888,713,349,576,959,397,849,712,091,
857,997,981,008,161,692,441,253,211,275,149,679,196,550,031,202,456,203,797,
136,889,686,387,892,372,843,550,217,804,805,220,538,521,520,852,295,093,308,
667,587,508,232,398,002,374,047,210,464,422,657,761,744,844,855,102,278,177,
963,193,366,140,895,275,983,163,817,709,653,779,642,579,890,509,973,483,175,
093,474,527,861,220,401,279,989,534,500,240,388,784,267,387,898,984,660,185,
076,851,375,481,721,595,353,823,454,109,165,130,297,889,066,327,257,969,613,
520,720,974,605,484,580,986,965,156,977,936,314,398,397,812,039,967,620,780,
901,538,892,306,667,676,643,291,830,865,562,728,255,671,072,866,263,472,986,
031,420,122,750,136,869,303,061,314,961,640,257,829,253,562,058,629,969,498,
152,337,412,435,665,049,479,671,139,274,329,906,912,340,528,210,306,175,848,
029,046,323,793,090,637,752,248,893,433,800,913,373,569,271,896,743,024,690,
804,264,424,972,932,167,825,140,543,885,652,835,576,657,225,286,794,786,582,
344,408,590,054,241,401,325,798,804,724,671,556,544,647,829,071,163,168,430,
681,284,297,806,655,234,447,971,982,165,155,313,898,913,640,027,431,492,561,
817,136,764,787,846,117,618,404,869,560,191,853,972,816,252,893,898,983,158,
630,144,243,167,083,400,150,121,838,323,760,667,004,516,295,103,535,604,973,
849,574,204,926,401,537,867,422,932,962,892,616,748,074,391,171,950,397,001,
415,422,384,592,130,983,596,634,717,671,696,910,800,453,258,397,266,957,397,
527,340,396,020,002,711,759,630,581,407,659,699,993,892,281,293,202,693,976,
360,833,451,110,598,455,261,081,665,454,855,564,450,891,120,443,446,780,707,
647,969,436,013,212,630,802,775,151,625,713,877,999,477,877,399,675,870,872,
546,524,921,443,995,120,756,537,281,326,866,254,567,295,510,431,331,300,540,
991,362,791,731,968,326,387,001,050,535,057,605,920,254,951,564,280,447,475,
363,839,615,965,272,825,583,953,475,477,468,202,228,107,916,104,083,308,275,
223,492,220,913,366,770,710,621,194,089,669,538,797,141,000,048,623,654,166,
886,576,221,529,866,034,007,811,062,908,883,492,330,159,577,379,879,367,406,
647,951,689,490,388,110,260,035,886,788,232,306,394,254,317,513,875,134,383,
443,461,308,424,589,081,247,784,905,302,064,622,868,357,212,166,622,422,692,
552,976,564,041,950,965,549,127,054,018,608,702,808,836,587,856,045,450,973,
468,070,598,093,354,236,094,562,023,720,384,632,752,831,169,642,753,878,579,
928,198,818,368,993,072,222,157,804,173,741,645,363,334,833,249,186,784,965,
391,560,658,542,668,147,644,820,283,697,359,883,831,567,667,963,478,098,188,
757,241,406,233,298,251,953,520,544,861,575,441,784,354,998,510,553,438,629,
204,612,065,768,508,586,373,433,998,542,580,019,948,621,527,098,537,798,635,
119,504,524,905,250,356,081,177,787,547,637,627,152,893,632,721,669,151,751,
803,624,644,145,147,731,911,870,099,089,242,676,922,126,545,571,460,267,319,
073,843,860,947,124,475,082,452,478,269,274,638,158,433,390,209,247,429,648,
978,804,905,682,821,176,232,984,385,008,984,806,971,848,749,947,900,756,133,
447,603,806,872,640,655,032,554,303,337,191,544,827,861,140,449,691,095,685,
371,761,248,908,572,494,983,762,831,934,390,778,285,968,349,157,341,894,880,
351,193,594,338,986,115,322,222,405,630,001,614,386,680,259,222,248,390,332,
977,879,429,377,571,389,982,166,993,863,581,579,142,025,667,171,392,589,782,
236,189,063,299,074,543,747,601,797,054,289,398,435,963,460,687,342,489,600,
319,461,793,582,623,584,645,276,433,863,149,080,950,099,686,232,162,600,329,
311,795,510,576,284,281,244,543,778,193,194,360,416,471,791,455,425,929,356,
231,241,919,791,492,514,646,477,921,233,012,677,920,049,926,436,520,418,528,
523,217,014,143,508,126,526,144,006,931,740,872,475,614,638,744,277,067,173,
862,632,311,123,043,446,385,154,252,753,309,638,753,645,746,433,039,810,521,
113,228,831,179,014,596,589,159,350,035,075,364,664,947,263,919,957,006,106,
876,888,863,767,421,172,250,504,252,050,978,107,251,027,920,684,551,638,761,
041,607,564,129,118,310,448,241,109,513,387,446,752,863,117,076,765,766,673,
155,497,439,679,802,146,018,568,571,066,753,880,906,342,727,369,827,732,802,
818,363,474,348,581,127,524,408,654,509,284,049,998,527,454,617,387,089,835,
579,993,628,574,788,349,066,545,241,221,124,078,626,918,246,604,435,200,768,
975,418,663,931,134,558,494,911,268,897,817,639,160,074,932,042,859,001,542,
542,215,718,939,316,316,373,587,119,283,801,479,931,272,943,721,094,317,040,
303,919,589,656,041,944,203,258,798,649,184,088,501,664,359,862,958,308,886,
229,722,226,128,631,583,810,044,362,866,277,424,556,005,125,871,336,505,042,
639,416,893,594,047,292,400,740,989,435,459,643,673,432,836,466,229,061,424,
708,169,851,842,361,589,041,659,904,007,619,788,328,418,486,698,220,092,422,
071,398,155,484,965,184,298,751,915,127,205,835,307,473,978,598,201,853,867,
392,960,480,879,538,052,330,612,826,257,176,292,640,044,850,953,856,554,867,
745,757,393,054,117,396,238,265,737,776,089,491,948,145,819,152,233,300,302,
764,354,649,499,112,971,978,632,891,340,305,014,463,325,044,515,124,859,295,
776,040,356,331,867,400,367,783,830,029,548,429,994,945,588,644,082,492,366,
968,496,425,092,221,486,983,376,106,328,459,065,150,971,425,634,625,553,465,
302,528,198,782,274,017,577,724,516,823,047,343,545,668,598,828,628,240,952,
288,219,155,117,444,585,392,861,208,896,780,312,809,621,667,531,908,700,571,
636,929,775,653,674,662,813,071,127,703,998,580,414,362,761,528,029,314,892,
967,385,981,513,251,630,908,574,581,272,843,543,054,261,327,072,123,708,142,
040,633,627,364,954,621,594,446,308,807,829,117,701,165,451,958,575,955,245,
706,109,996,981,707,080,401,594,077,887,283,362,338,318,469,495,844,517,262,
490,132,327,809,950,340,278,911,617,791,579,698,710,054,207,563,493,790,487,
448,441,857,242,152,302,841,013,839,590,197,983,191,116,268,845,123,279,736,
858,543,557,283,144,915,049,052,107,946,779,619,879,533,030,707,128,006,668,
461,610,536,086,827,807,685,479,240,753,425,091,644,693,787,053,863,106,942,
790,235,980,918,728,891,131,555,646,024,407,598,540,181,630,406,903,897,796,
714,230,639,622,434,735,852,230,560,239,756,707,603,288,027,078,274,973,402,
329,497,169,520,420,165,542,168,972,461,212,746,845,168,598,774,231,010,271,
396,673,147,811,555,526,659,886,335,342,084,292,026,905,910,981,380,106,341,
595,441,989,945,425,394,893,151,014,755,898,213,547,923,997,899,595,679,626,
268,901,565,620,021,475,644,565,696,724,381,435,579,377,687,973,090,148,418,
883,391,212,130,023,716,817,522,350,148,758,356,163,064,375,448,757,227,354,
796,553,719,405,846,776,134,210,953,731,849,900,389,065,002,075,669,111,523,
616,738,171,390,172,922,538,980,133,673,260,042,707,657,370,966,411,199,614,
960,423,489,815,397,464,552,292,298,854,800,488,195,582,013,669,733,892,292,
559,487,419,653,526,017,836,866,945,796,287,042,278,401,399,769,365,740,235,
505,328,603,558,417,066,080,150,224,050,573,343,250,046,102,544,869,978,436,
597,572,060,608,876,780,324,978,038,458,020,255,163,049,960,510,595,016,471,
113,269,881,110,331,138,418,711,219,093,466,586,086,674,182,442,427,853,802,
793,735,235,371,875,656,717,988,124,892,846,032,299,692,132,333,656,934,488,
452,013,080,974,739,087,651,291,069,295,349,002,668,584,319,400,420,562,956,
935,981,792,509,979,415,372,029,851,157,629,948,734,601,967,353,881,587,319,
586,704,168,806,168,169,960,558,717,919,384,266,015,651,887,126,652,251,293,
103,768,505,841,355,666,342,838,004,399,965,600,362,361,010,029,443,099,520,
351,589,537,069,516,539,777,659,186,596,351,050,505,091,769,577,502,042,800,
958,851,623,748,707,672,330,487,384,753,606,817,908,454,899,549,891,761,302,
277,204,231,520,392,620,561,260,176,785,688,648,733,741,561,334,568,398,929,
692,410,927,106,512,065,185,465,497,256,193,801,866,216,648,847,058,787,052,
944,124,585,029,193,002,681,114,125,565,611,258,676,474,988,964,913,163,016,
674,512,804,029,530,882,470,504,815,049,297,105,972,508,703,239,664,128,385,
210,482,158,700,042,524,240,069,955,657,179,921,370,637,789,847,847,797,023,
684,401,038,254,302,647,521,881,776,342,400,632,130,144,983,925,056,008,026,
247,015,591,370,454,808,446,530,159,482,731,764,670,114,311,921,612,724,177,
723,623,015,153,899,877,431,642,133,824,720,198,233,627,243,903,406,097,946,
971,236,283,339,259,932,042,281,893,703,517,303,193,058,035,801,533,863,093,
812,252,157,493,333,325,455,589,795,189,675,795,283,951,944,775,126,780,914,
232,983,865,178,935,521,881,936,958,913,300,342,957,533,918,429,733,987,923,
638,034,908,669,358,109,150,537,039,356,424,456,215,183,462,418,857,506,614,
199,859,195,098,955,955,239,358,889,892,087,501,594,122,346,559,300,654,921,
935,590,174,351,385,642,226,341,344,161,970,117,856,797,239,609,710,405,430,
202,461,075,091,510,730,907,697,112,953,019,188,546,996,034,028,794,292,506,
648,853,125,038,076,833,534,568,199,147,492,080,929,564,233,288,721,555,627,
401,743,650,439,325,139,795,912,067,047,250,985,569,454,047,292,051,234,695,
846,183,943,673,962,313,894,375,564,351,335,652,562,253,924,969,328,087,072,
865,943,989,444,105,309,103,070,065,169,441,649,827,069,293,969,810,582,322,
402,406,734,365,603,841,577,876,147,021,254,409,571,795,923,678,198,942,668,
175,277,320,003,942,839,034,764,865,682,483,105,336,528,218,701,637,469,843,
779,812,759,533,109,061,685,984,632,813,597,593,075,334,399,640,552,045,720,
948,533,432,129,894,015,434,288,262,788,314,561,559,990,283,471,129,188,773,
159,624,288,685,878,423,112,007,914,089,352,924,392,661,788,375,275,995,022,
435,813,484,899,001,275,022,711,535,351,019,811,617,842,590,512,552,344,652,
528,814,977,068,999,244,255,289,017,582,751,910,583,760,971,272,228,737,383,
153,194,870,506,591,880,308,204,180,431,933,426,622,050,747,359,179,865,849,
274,758,534,243,780,028,843,754,603,716,739,574,894,228,345,023,624,271,334,
917,318,828,939,570,529,296,377,462,235,736,980,380,424,481,586,197,250,760,
331,443,050,111,749,334,733,773,300,449,815,671,497,763,964,735,267,865,456,
994,173,760,974,617,231,166,210,189,792,800,785,678,692,235,199,377,259,862,
871,020,477,829,582,634,814,791,198,649,737,465,843,850,173,267,236,246,411,
571,422,211,090,737,835,468,721,149,800,740,412,130,450,886,337,629,355,097,
575,052,923,082,799,265,969,341,860,604,867,173,950,340,180,445,154,512,992,
753,202,883,745,037,840,131,147,138,258,626,731,612,557,381,961,641,295,506,
326,485,165,970,024,888,592,963,099,314,985,863,468,656,496,288,885,475,246,
681,527,379,727,949,874,818,933,462,915,536,841,472,658,009,624,076,484,743,
303,247,269,128,765,661,786,536,072,115,678,209,512,472,700,822,284,745,309,
621,399,702,039,449,770,564,366,749,621,923,575,178,008,723,151,817,412,676,
952,455,425,258,361,193,670,737,049,822,546,487,530,712,137,650,086,736,867,
576,655,654,952,578,981,334,112,654,556,183,453,115,194,495,793,939,026,678,
560,414,820,199,810,712,217,402,463,111,636,629,703,635,390,014,277,351,378,
712,918,688,519,378,599,586,264,627,654,569,884,601,830,644,313,010,404,710,
769,343,122,200,925,591,284,210,389,108,637,560,328,981,722,337,621,246,125,
046,975,331,291,821,951,705,360,592,647,510,076,409,069,909,418,561,847,917,
868,242,118,527,553,461,998,768,765,325,597,361,702,664,987,819,400,895,876,
488,193,577,346,565,968,583,222,819,635,947,146,114,560,365,270,585,952,858,
981,623,994,230,315,588,782,501,777,308,530,362,632,660,964,384,483,342,145,
292,495,052,173,998,848,961,810,365,395,627,210,481,509,304,748,492,905,718,
783,496,918,908,242,944,519,030,098,246,210,371,912,434,727,471,158,693,271,
004,360,820,653,291,088,141,519,592,461,019,580,561,975,133,853,757,266,572,
011,541,031,360,709,626,229,623,169,200,183,593,991,185,069,726,509,979,273,
901,460,413,158,882,369,741,087,744,491,480,519,956,449,968,127,097,414,504,
787,952,076,983,981,599,509,471,881,855,943,795,660,985,936,445,825,488,100,
808,938,479,162,423,324,771,196,577,930,746,354,244,423,067,254,396,695,196,
642,928,390,174,137,824,407,573,461,125,748,950,065,574,672,295,816,012,048,
760,621,987,149,709,353,793,630,805,455,523,011,843,516,393,924,849,570,479,
060,148,127,844,330,241,510,752,708,083,974,016,991,487,173,393,620,984,818,
003,124,997,151,904,053,121,370,425,898,212,778,650,526,443,338,506,685,119,
217,861,393,624,510,485,633,717,159,861,286,202,731,867,226,096,980,398,248,
324,780,591,186,799,915,530,857,551,162,447,920,609,444,401,955,439,366,691,
485,217,086,310,411,976,377,772,034,507,878,112,263,977,700,667,850,090,388,
732,182,411,267,263,743,174,528,548,912,613,859,211,271,730,102,898,793,714,
380,118,588,291,713,900,266,362,017,336,569,539,389,196,834,765,583,109,546,
326,743,411,461,875,818,189,153,341,911,245,203,590,596,533,309,089,330,008,
237,223,885,280,785,235,525,078,224,983,023,843,995,099,999,156,878,391,700,
122,172,598,137,883,935,750,947,130,855,552,993,830,441,497,666,329,244,779,
347,493,457,822,085,868,430,327,594,165,018,106,911,440,011,498,457,822,845,
772,999,322,114,724,273,825,825,834,139,026,990,043,056,717,653,100,676,646,
668,879,984,841,695,022,349,918,289,889,068,288,224,577,151,901,339,809,931,
629,056,151,570,263,156,459,395,591,684,965,236,725,114,306,860,024,090,154,
311,614,363,953,073,690,996,185,010,706,751,366,417,629,146,520,296,150,964,
154,778,018,531,941,441,221,783,846,603,753,035,817,143,368,943,466,141,381,
454,997,812,900,998,128,725,693,423,935,492,682,463,078,827,130,557,515,239,
631,822,061,306,002,314,511,602,794,043,504,428,460,016,758,745,985,424,816,
344,827,452,823,697,664,992,295,092,330,517,316,949,805,823,689,115,048,255,
379,335,910,058,778,126,051,194,008,583,760,621,269,875,731,798,923,293,617,
021,718,949,910,496,413,189,845,144,515,025,711,227,587,958,709,089,815,261,
687,845,580,642,216,277,287,475,040,316,206,739,069,048,538,745,179,688,432,
664,887,356,642,323,540,433,287,868,361,980,961,195,271,224,551,063,760,082,
911,199,785,580,787,238,053,804,921,993,841,583,576,278,002,077,645,668,361,
456,590,279,936,479,819,980,485,383,445,820,318,943,507,570,972,506,389,338,
213,101,221,288,189,454,419,139,938,276,532,570,260,043,375,176,716,960,588,
826,108,442,282,722,236,628,312,091,320,587,856,296,734,292,265,953,009,124,
889,851,022,099,882,758,908,503,225,384,526,302,190,753,569,708,207,556,852,
129,898,871,857,474,574,254,981,719,481,139,563,465,720,386,944,873,434,237,
241,557,623,443,516,919,257,900,786,120,488,029,758,000,069,726,575,020,558,
007,453,125,781,926,300,719,090,215,018,466,907,904,117,935,443,496,961,163,
154,493,926,177,647,576,481,647,718,578,500,270,373,763,104,029,796,244,203,
617,776,569,802,744,797,332,834,377,934,657,253,309,036,500,252,992,169,303,
854,295,788,156,460,111,542,407,611,193,953,040,237,805,512,828,324,702,137,
426,053,935,675,122,457,153,798,454,483,778,296,980,300,217,488,065,158,139,
401,020,839,654,972,853,501,617,946,609,566,461,313,591,150,180,220,585,140,
135,614,381,884,702,109,242,251,135,710,171,137,429,815,222,757,408,524,554,
459,966,014,714,048,743,405,904,842,835,435,717,993,281,098,794,583,697,051,
654,942,665,286,733,944,630,768,561,855,459,728,588,148,562,802,455,793,272,
761,927,251,081,866,833,426,152,296,365,389,212,593,037,036,265,107,901,713,
013,315,663,450,250,952,097,598,007,815,616,409,736,113,089,535,586,843,419,
838,513,748,534,539,032,796,620,684,747,017,378,578,612,721,809,590,771,860,
276,171,098,397,926,399,785,885,187,520,535,126,157,122,005,787,623,428,295,
756,519,028,130,338,656,857,830,437,774,363,999,186,139,473,375,189,005,368,
538,046,520,668,644,311,653,734,480,112,524,062,962,491,063,500,760,192,387,
743,070,594,877,234,319,286,015,197,795,934,845,730,081,749,559,003,677,586,
613,260,477,348,629,763,428,763,038,572,973,889,624,241,996,788,782,596,301,
444,287,862,347,675,832,695,803,240,772,425,011,845,148,796,439,773,970,008,
024,194,509,207,699,449,503,557,162,163,580,850,390,514,456,681,899,238,293,
976,777,442,174,845,206,893,094,374,190,790,166,855,738,284,367,158,352,018,
640,258,835,876,516,289,827,416,120,298,139,387,241,848,064,911,331,858,345,
554,760,010,176,087,186,366,527,920,743,116,730,980,509,453,672,953,523,258,
582,553,022,783,245,098,366,950,505,234,572,939,341,447,093,225,053,328,720,
081,697,199,133,625,923,715,289,869,225,953,419,431,850,199,196,544,001,495,
872,741,808,081,899,288,483,371,215,026,765,207,966,818,759,178,270,409,094,
504,954,101,785,944,428,515,590,627,379,676,028,526,433,397,919,016,460,292,
609,649,772,061,655,876,702,907,003,105,671,789,534,723,247,217,636,520,360,
232,328,494,540,825,652,815,787,369,710,551,509,977,976,449,888,443,794,859,
276,141,250,086,124,227,244,559,697,252,890,640,623,500,471,106,517,116,929,
324,955,502,703,713,433,316,040,137,309,700,618,456,071,708,156,927,088,064,
672,263,880,606,397,488,624,047,797,783,587,824,044,532,270,700,082,131,402,
200,483,996,289,791,729,025,338,882,334,784,600,407,784,624,882,113,084,123,
089,364,773,326,108,141,698,451,087,206,048,710,268,325,804,981,527,376,843,
768,103,284,148,254,595,813,246,155,903,477,395,534,082,899,054,076,130,442,
553,730,254,472,108,963,436,312,697,926,132,563,714,043,320,403,863,660,129,
897,391,963,976,233,894,406,721,777,511,974,432,635,897,424,763,378,004,549,
131,598,555,510,423,624,805,514,640,808,576,016,832,888,500,355,228,851,868,
106,040,014,237,160,062,025,245,414,274,129,615,300,410,126,804,803,884,004,
765,634,543,204,495,811,226,286,290,993,464,383,140,075,374,698,425,690,988,
395,462,616,411,696,744,682,073,468,311,835,133,109,740,220,320,367,115,119,
966,886,608,556,058,419,057,919,021,761,767,143,876,478,475,648,341,811,332,
166,322,290,258,028,025,395,014,137,499,998,265,407,056,411,504,556,528,101,
692,171,997,502,747,390,779,005,586,292,237,253,919,752,756,469,465,012,186,
627,539,381,443,047,467,320,273,754,568,793,134,195,137,783,577,913,312,103,
100,567,856,382,334,491,260,369,102,057,046,358,735,432,878,790,584,981,684,
507,047,874,029,967,307,979,082,821,700,923,436,792,793,697,616,913,452,312,
035,611,571,161,079,023,199,698,462,476,267,604,144,733,970,405,427,422,821,
213,705,812,396,262,744,341,587,549,572,232,731,808,117,292,047,928,691,176,
028,886,418,433,474,773,411,748,107,269,417,389,753,136,024,644,644,806,394,
707,254,140,571,173,211,178,497,459,888,252,906,811,860,022,832,569,057,953,
725,926,419,823,780,430,274,392,886,286,170,928,787,481,728,501,666,376,569,
535,130,503,357,671,111,341,222,796,787,196,245,468,431,117,265,066,019,091,
837,028,435,427,668,313,691,220,726,498,970,346,888,148,039,687,027,395,535,
451,558,696,911,151,782,282,866,820,607,377,470,424,268,788,050,374,938,029,
336,487,452,193,256,648,421,051,438,971,266,621,864,594,290,083,983,278,852,
545,604,923,810,748,281,191,803,418,839,645,739,449,552,302,832,279,672,270,
174,677,409,624,604,500,743,333,658,479,527,933,724,088,178,414,729,724,912,
422,675,607,728,235,850,754,168,686,000,970,983,580,378,182,915,265,739,427,
359,302,166,063,887,218,989,913,121,854,549,534,307,260,872,831,027,175,967,
430,818,009,902,367,049,266,616,008,415,293,006,209,274,204,245,652,742,009,
206,390,381,620,681,107,457,605,911,383,158,691,942,599,578,778,171,160,889,
560,145,805,977,893,665,520,560,016,898,809,937,898,274,911,303,040,953,689,
244,862,536,529,538,308,816,687,731,534,463,690,521,965,055,549,864,394,815,
408,449,799,870,805,800,168,838,157,355,277,608,664,157,546,517,142,900,284,
124,879,298,931,142,070,546,232,335,257,059,292,958,081,424,563,675,963,351,
118,475,116,237,693,642,888,807,485,060,526,909,136,680,170,426,916,167,948,
710,970,442,813,641,779,558,340,931,563,996,991,211,156,774,147,103,582,222,
489,120,471,927,928,789,311,564,946,644,894,491,521,988,191,307,107,150,156,
440,246,663,294,656,475,960,249,002,515,793,107,445,285,869,971,068,580,251,
682,999,500,173,259,094,459,588,079,740,673,819,111,009,804,726,008,611,400,
198,488,187,679,792,806,128,705,796,481,665,366,560,598,769,776,578,278,503,
575,979,255,294,519,416,491,754,833,193,333,410,510,151,666,875,439,073,648,
219,450,227,128,158,302,404,483,846,631,489,450,731,267,041,937,019,391,352,
532,796,955,359,337,611,756,428,417,931,780,687,731,241,219,655,790,704,051,
235,578,791,878,662,745,946,406,861,362,453,265,417,057,704,657,575,787,766,
591,455,970,259,211,224,054,924,073,640,202,284,763,691,451,337,125,635,832,
784,644,889,252,938,404,223,965,293,068,872,350,264,872,509,416,250,253,314,
962,023,854,362,061,431,803,314,801,846,136,464,395,505,106,334,835,429,853,
008,549,325,931,437,319,376,148,498,851,577,398,864,346,123,420,428,417,491,
022,800,423,929,931,830,121,545,984,958,656,200,228,829,568,773,016,745,874,
893,373,244,205,068,477,682,373,209,566,364,855,883,240,020,589,029,218,363,
886,531,234,614,621,864,922,652,726,359,039,116,433,315,010,079,233,775,566,
220,917,566,819,874,717,954,357,782,482,850,099,292,192,957,327,417,103,385,
799,916,064,737,351,320,314,349,878,284,656,054,228,846,501,835,366,088,397,
760,560,500,616,486,439,555,791,067,656,080,821,311,967,694,402,952,251,604,
095,345,349,347,914,773,018,642,194,536,055,121,605,913,112,523,918,521,072,
114,085,092,712,662,766,907,273,821,094,394,005,204,167,457,914,919,503,174,
604,405,894,985,729,358,546,352,658,518,751,066,613,857,753,893,564,139,043,
823,123,782,741,605,051,101,305,246,406,525,204,410,698,825,215,710,422,150,
534,404,226,621,078,628,467,080,686,795,981,136,276,614,158,774,881,079,279,
880,071,979,428,439,287,699,276,930,602,471,516,692,090,123,281,226,903,125,
981,276,305,408,607,146,430,186,618,290,358,360,831,177,983,875,533,905,878,
055,114,442,714,340,292,298,951,328,919,111,567,792,448,808,433,635,678,809,
440,233,796,672,350,753,939,952,921,461,036,674,103,990,537,200,945,847,490,
712,876,304,115,208,836,369,329,885,440,135,590,052,027,136,542,794,137,494,
244,595,370,116,050,419,281,123,103,457,008,417,896,880,800,148,634,055,710,
132,053,090,561,117,475,904,377,843,597,808,418,851,705,797,394,506,163,586,
325,326,766,618,280,057,036,776,779,447,592,570,714,826,940,136,594,795,855,
786,423,353,679,124,706,522,979,124,125,264,607,586,305,720,048,012,118,189,
544,563,285,750,906,609,856,652,227,007,129,429,111,509,373,255,835,743,761,
927,047,001,815,267,887,427,142,776,777,807,343,400,679,862,995,762,396,734,
454,021,098,427,241,047,698,971,670,183,933,984,917,683,260,679,668,764,583,
154,173,695,709,801,711,363,794,779,957,910,206,382,210,561,994,977,056,981,
704,181,333,169,213,541,946,134,353,237,796,098,168,206,793,770,170,831,640,
014,254,459,174,334,799,791,363,163,303,185,180,806,146,433,513,647,830,886,
841,871,744,636,907,532,665,130,851,593,204,633,239,740,779,534,466,232,176,
128,940,239,018,612,991,640,919,858,368,608,711,564,951,610,216,779,987,362,
956,775,482,372,387,715,458,425,304,039,088,396,238,682,059,862,282,557,257,
255,454,843,970,520,731,192,723,109,936,818,042,408,925,826,629,914,033,808,
171,909,673,324,367,472,021,140,649,807,807,462,154,431,093,962,076,202,391,
695,961,674,421,066,719,669,643,151,395,412,477,533,134,430,716,923,197,365,
397,806,972,965,590,868,245,592,454,827,067,043,711,990,183,615,908,364,541,
135,192,991,812,534,695,679,620,973,125,673,124,717,906,133,080,705,698,010,
442,627,054,969,434,283,930,047,564,170,082,428,609,145,207,792,720,653,926,
113,328,722,007,696,093,141,113,155,776,473,525,141,029,691,578,415,820,021,
673,027,548,186,385,421,034,703,259,453,772,879,807,830,058,662,150,517,811,
342,854,564,859,215,190,029,341,531,542,505,844,290,468,528,676,859,773,873,
064,340,931,544,985,358,361,998,658,681,554,635,766,672,347,890,777,814,134,
530,552,583,493,693,229,592,745,431,024,832,754,038,145,403,477,856,307,991,
247,907,423,696,061,884,688,179,875,985,892,327,181,314,178,219,624,159,647,
908,249,938,467,972,969,963,218,329,976,355,581,428,718,368,877,581,149,721,
074,833,458,235,513,669,221,606,979,948,654,706,322,953,739,670,540,605,242,
126,558,345,989,614,000,273,658,185,683,783,070,283,225,698,920,916,648,958,
616,220,118,516,711,766,327,469,237,116,687,099,242,408,616,564,913,106,890,
673,445,645,029,747,612,261,084,092,976,824,075,570,074,433,235,961,408,574,
428,555,729,134,720,965,125,352,294,369,777,620,699,034,160,243,910,222,596,
015,116,027,701,360,696,123,834,337,882,848,092,287,662,680,828,362,606,557,
406,004,063,675,726,970,997,849,955,764,976,939,617,418,642,956,648,772,497,
850,117,342,905,425,167,359,521,315,129,813,589,239,283,458,025,965,638,919,
012,946,351,303,602,811,175,276,100,268,831,414,831,053,610,722,078,932,933,
192,282,118,017,179,782,446,038,624,075,474,461,385,647,155,323,749,773,249,
107,793,767,238,171,879,390,621,642,674,615,385,411,156,976,984,618,153,061,
464,827,492,610,092,793,170,100,181,719,961,789,292,666,596,294,648,250,117,
345,534,725,427,394,998,132,074,623,203,909,608,999,765,031,522,621,801,102,
935,762,651,718,362,034,518,062,942,294,424,812,313,030,392,415,401,814,432,
244,614,891,149,037,925,141,965,010,224,484,857,428,155,458,305,346,653,002,
484,894,045,008,425,869,904,157,296,963,480,277,914,882,700,031,727,337,111,
933,397,561,817,190,339,423,174,774,103,085,231,964,375,744,280,960,780,455,
760,050,428,109,389,342,892,489,296,673,995,424,680,158,377,828,333,058,042,
378,379,812,773,002,325,757,298,392,260,480,315,615,560,891,004,970,781,006,
346,576,217,765,505,230,340,753,621,387,255,704,025,170,294,183,755,770,375,
462,305,343,651,966,729,101,323,322,382,398,225,770,788,787,600,605,228,151,
789,444,695,022,839,268,863,528,504,288,810,075,779,942,479,059,093,399,619,
899,455,278,713,933,048,930,820,992,887,597,628,207,083,903,928,952,334,118,
210,267,127,566,879,834,542,348,445,342,193,466,726,253,280,429,305,002,699,
749,049,030,433,895,816,356,218,022,726,334,095,381,029,716,265,171,936,364,
104,567,791,115,338,416,225,242,118,183,466,367,383,357,945,071,142,796,544,
360,875,520,666,894,894,207,078,198,010,024,218,084,892,949,758,283,643,001,
168,019,221,949,320,130,840,415,472,257,735,350,554,995,992,018,674,847,344,
896,282,661,405,205,590,336,739,162,314,042,962,888,670,654,301,046,392,839,
117,511,947,273,584,966,462,499,696,802,059,373,972,380,518,506,128,062,441,
266,501,079,531,141,359,542,263,712,930,138,894,713,079,304,277,045,205,219,
446,705,608,143,790,719,025,845,916,367,889,732,309,075,932,981,731,298,690,
495,492,859,566,757,941,477,883,892,611,769,009,672,442,024,923,506,244,837,
258,006,143,487,268,027,852,025,071,550,965,848,749,608,311,144,345,515,096,
241,109,172,047,618,993,956,966,608,498,979,646,369,639,937,589,670,051,392,
643,776,555,165,189,214,293,172,443,366,299,666,860,252,861,639,808,960,302,
670,395,565,744,751,237,990,390,846,388,366,910,252,983,502,257,719,332,285,
946,519,882,501,399,322,433,490,622,057,240,533,933,720,664,972,096,777,312,
395,530,734,117,424,844,471,745,169,823,528,546,687,144,586,667,550,973,384,
604,112,060,031,352,625,865,878,516,184,196,192,094,321,888,493,470,546,639,
842,045,639,578,346,207,831,253,337,258,378,283,942,605,938,281,192,071,514,
236,786,245,944,109,592,407,167,896,931,150,230,733,837,550,134,540,830,084,
083,850,917,291,229,636,508,008,534,287,478,128,923,014,503,372,730,909,273,
182,764,977,146,520,332,500,060,421,936,442,951,375,850,627,974,417,954,860,
015,037,363,354,791,328,468,988,890,288,430,939,550,876,978,102,485,896,455,
809,791,367,085,200,187,189,448,028,764,162,615,806,020,156,547,507,434,925,
464,019,263,398,717,216,038,374,337,573,437,840,327,634,850,883,311,536,618,
272,335,446,656,009,963,024,251,228,081,041,372,501,956,435,455,576,030,578,
770,778,068,444,023,272,237,955,603,892,757,573,901,818,792,802,937,440,355,
927,050,748,412,045,732,126,645,932,179,890,721,060,308,762,764,030,635,102,
658,232,813,231,807,032,585,264,881,029,764,759,865,656,653,237,629,097,237,
159,619,281,871,040,985,356,996,785,758,085,303,705,732,057,647,490,029,562,
483,097,137,395,743,893,147,603,504,557,636,581,121,423,848,176,499,794,570,
674,269,418,914,915,727,805,543,121,957,642,604,146,155,581,000,898,440,225,
774,518,312,356,815,228,168,256,497,130,491,356,271,017,307,328,692,274,638,
001,812,655,228,336,259,812,761,263,642,875,015,152,011,491,789,710,758,965,
059,259,789,730,786,709,343,133,944,145,718,910,567,552,492,725,526,225,887,
562,763,571,379,198,607,402,452,864,495,757,926,645,894,696,423,062,555,570,
281,807,118,641,459,272,322,684,200,419,665,004,441,708,443,477,321,614,552,
557,155,978,171,960,052,431,254,993,790,321,286,253,541,841,723,615,899,163,
352,775,995,142,250,753,030,504,769,161,943,464,546,558,816,806,119,806,801,
173,006,405,854,532,587,072,034,912,994,665,818,625,726,930,337,483,752,110,
061,285,346,795,658,807,422,997,068,036,964,971,964,331,100,197,425,187,319,
172,322,152,966,806,284,317,616,789,546,899,664,244,291,671,854,386,571,985,
379,675,330,181,170,317,592,440,496,849,504,831,137,941,863,216,456,937,733,
642,038,678,867,171,554,217,201,671,619,997,116,510,727,662,991,501,042,763,
676,632,348,824,222,169,680,718,489,791,745,793,520,664,923,030,661,203,746,
021,595,450,204,234,291,895,671,873,050,353,704,445,127,596,744,147,557,929,
994,384,573,289,931,405,352,969,103,046,740,686,138,165,956,346,130,910,708,
180,843,036,736,276,790,808,986,502,863,300,325,059,499,949,995,551,234,076,
723,079,899,972,243,533,648,103,366,985,435,530,809,733,439,404,721,011,018,
828,033,069,349,751,769,885,662,666,365,029,307,505,311,228,935,768,368,539,
465,203,614,846,591,843,072,370,275,767,430,067,242,310,746,540,015,274,038,
431,472,274,676,298,854,728,813,966,579,074,857,266,464,550,389,393,117,773,
580,980,208,693,395,323,969,384,649,594,443,961,302,365,619,810,344,074,536,
723,586,436,456,585,255,855,078,581,219,442,716,210,039,074,110,016,322,631,
449,948,983,946,397,115,556,750,572,684,397,235,346,611,274,660,027,007,072,
506,597,545,544,738,816,687,119,091,926,924,753,066,173,706,437,312,187,449,
272,504,833,452,090,829,097,589,868,997,324,041,362,852,642,009,405,708,556,
719,118,677,142,622,199,429,965,722,290,583,389,049,953,794,676,924,403,832,
802,016,045,895,544,515,545,357,095,519,185,015,628,194,204,237,566,891,338,
483,638,878,788,427,919,248,880,497,975,564,579,928,304,695,127,401,453,548,
512,246,282,089,785,669,064,893,552,969,653,119,210,491,816,302,077,583,559,
563,993,976,390,607,867,607,489,480,101,574,442,798,745,965,753,350,638,844,
366,855,548,410,734,740,782,940,180,873,078,994,861,827,433,815,150,568,340,
682,800,062,725,587,938,049,335,517,399,042,417,521,222,003,656,016,526,385,
195,739,724,540,642,687,596,492,533,242,492,908,828,376,339,148,526,096,387,
273,514,563,257,851,166,965,976,775,148,741,326,897,086,664,938,836,282,337,
621,661,862,677,276,906,596,344,974,050,833,501,287,132,438,208,168,805,512,
751,318,051,156,135,820,150,865,584,599,261,304,825,955,899,851,099,569,960,
031,204,766,661,266,432,272,764,939,522,014,723,431,000,131,749,194,763,921,
486,891,267,293,350,156,914,091,287,044,322,214,664,043,742,544,402,645,165,
893,243,922,411,358,279,659,803,559,025,581,955,047,326,032,285,811,182,127,
300,534,914,988,671,476,694,521,299,534,453,365,664,995,337,421,297,662,391,
769,196,776,045,083,728,983,930,217,226,900,966,014,169,470,362,140,211,090,
665,001,875,907,440,818,110,615,310,888,693,643,400,038,905,238,638,214,544,
269,292,301,987,985,302,522,127,945,345,667,202,333,879,772,927,381,030,254,
130,476,472,064,500,568,094,318,512,544,043,537,035,328,205,144,887,282,103,
946,461,745,324,124,362,547,535,841,002,289,359,384,414,609,234,741,137,548,
478,174,123,028,545,744,640,667,590,412,631,744,363,116,576,469,493,382,405,
045,068,207,359,149,373,096,585,685,460,582,710,161,027,821,469,705,018,454,
544,959,794,637,955,225,688,914,905,602,516,209,645,989,842,779,997,552,479,
356,410,778,137,831,429,648,005,979,976,937,117,448,547,738,396,849,101,350,
466,302,734,570,590,009,115,173,670,287,001,999,327,103,743,755,788,938,389,
620,135,711,710,352,953,978,263,507,656,046,226,730,921,733,011,934,716,288,
591,137,213,803,913,157,990,067,591,181,460,284,365,773,359,270,165,988,300,
194,357,558,447,448,588,978,837,414,525,562,405,105,514,632,889,649,751,420,
479,132,206,211,180,069,172,922,798,792,593,751,759,843,694,792,374,744,057,
416,572,288,032,132,483,068,714,212,882,702,337,853,702,532,034,007,914,029,
239,752,503,203,555,387,958,521,715,785,338,566,107,494,386,682,217,644,683,
972,638,499,427,196,664,585,692,127,669,379,865,298,944,641,546,127,023,734,
072,491,602,522,726,501,699,409,224,338,001,921,597,375,913,320,623,478,801,
739,297,537,445,685,210,591,770,275,018,374,781,996,670,558,875,091,378,093,
676,856,702,585,382,323,846,563,071,174,063,574,364,359,816,662,493,228,682,
905,810,258,900,544,976,827,775,870,590,564,538,823,617,981,711,236,764,854,
198,161,326,851,510,060,014,845,806,303,487,139,433,801,355,375,410,050,905,
169,988,271,378,127,694,029,348,926,864,662,037,542,370,881,742,516,787,789,
801,267,044,928,841,483,000,213,531,398,460,960,883,633,162,027,962,541,550,
220,374,031,656,610,239,218,894,298,188,567,269,084,525,145,307,601,288,814,
747,034,372,355,016,772,288,199,008,208,680,401,790,550,353,014,219,633,359,
794,952,056,523,069,988,817,931,571,359,685,041,920,892,513,372,691,234,474,
790,039,114,306,852,065,985,531,128,293,467,773,992,314,019,141,616,005,188,
385,558,494,139,902,055,574,966,980,374,539,480,731,734,617,941,253,851,839,
734,543,002,022,546,399,926,491,375,818,233,281,544,759,046,948,686,757,611,
717,911,096,955,211,554,374,377,001,618,685,497,387,763,116,775,588,805,330,
464,119,973,740,791,455,936,665,494,943,071,377,701,470,620,361,913,062,672,
843,977,244,851,222,686,245,553,548,302,944,594,930,261,218,148,196,043,348,
741,992,373,850,894,890,861,435,361,648,547,490,061,494,716,823,669,482,042,
186,485,765,745,827,099,983,591,709,816,440,868,781,435,061,675,421,053,472,
349,302,021,919,707,772,626,611,754,581,812,279,238,670,684,038,708,759,876,
465,933,890,617,299,756,103,430,991,864,935,554,543,309,093,839,034,551,699,
058,572,426,441,893,041,234,915,321,999,665,899,378,408,495,163,739,999,820,
202,185,232,976,534,031,898,785,563,251,072,019,463,112,991,965,873,194,359,
969,376,053,213,989,559,476,357,867,318,734,800,432,417,166,329,951,055,451,
652,140,264,784,866,078,701,034,140,829,385,143,020,569,870,851,734,651,258,
717,825,351,834,445,605,752,457,328,464,988,920,961,059,109,746,230,276,986,
061,956,902,532,449,962,950,960,565,071,203,757,750,947,337,573,285,211,257,
872,118,540,144,653,216,523,300,379,285,505,281,576,825,049,644,536,057,376,
117,324,322,508,130,603,517,070,611,411,826,457,834,508,098,529,697,826,610,
299,630,430,336,128,635,186,672,822,544,822,254,060,973,552,708,153,535,617,
019,984,987,221,234,461,875,238,539,383,872,647,481,514,587,710,768,121,754,
583,958,616,553,486,044,154,974,998,891,388,006,420,967,223,984,421,456,511,
764,857,271,587,991,999,193,308,416,588,698,469,858,572,107,505,238,071,516,
683,742,425,892,783,331,084,094,542,903,793,116,742,515,343,600,450,215,484,
586,833,144,974,677,975,327,576,863,426,246,151,839,066,342,901,450,755,892,
400,210,301,737,278,356,426,004,068,777,678,346,177,094,177,411,133,949,238,
277,285,901,712,415,954,536,456,993,411,683,079,232,954,342,012,199,477,981,
411,624,002,513,171,188,798,354,108,846,629,481,772,692,436,719,563,442,094,
962,314,397,202,040,213,455,646,433,156,681,564,703,903,792,535,601,330,672,
984,260,029,732,719,934,649,750,379,088,490,167,738,112,591,129,890,304,593,
008,239,469,184,443,717,309,374,969,523,660,311,863,051,467,414,810,479,864,
819,838,168,095,804,853,149,122,982,822,152,350,817,145,303,108,103,642,851,
604,773,460,657,380,202,969,110,029,832,516,298,307,272,601,079,370,734,485,
607,732,196,218,291,470,126,960,883,493,577,026,930,271,267,099,241,151,816,
054,143,719,883,191,265,286,655,532,425,639,496,676,952,151,654,500,954,863,
928,140,801,801,984,328,545,035,795,508,173,875,229,165,506,933,293,916,256,
746,783,517,069,159,035,236,077,767,916,801,467,879,786,270,923,176,597,220,
244,347,429,476,810,716,061,448,574,798,398,249,973,409,356,363,151,942,933,
125,542,592,593,469,429,424,234,687,322,109,596,484,363,440,270,658,059,267,
873,643,122,063,158,320,984,177,487,931,794,507,589,149,121,439,841,121,106,
875,751,301,313,483,013,674,784,462,849,343,565,952,681,747,322,352,503,350,
870,439,297,452,517,266,609,488,781,564,388,790,324,916,698,843,986,473,983,
612,563,710,513,713,484,217,616,041,339,103,356,664,880,750,666,278,955,297,
123,768,940,375,304,320,343,681,252,586,217,579,099,202,496,776,061,647,410,
071,507,491,051,597,219,994,838,022,555,743,960,328,694,769,863,595,790,286,
496,575,252,925,970,444,070,059,542,213,736,364,813,220,131,871,350,324,948,
963,338,001,608,241,211,811,502,794,427,044,861,375,736,614,800,707,652,817,
327,890,037,881,946,510,879,886,612,927,827,101,382,840,518,878,204,922,103,
125,905,076,594,717,018,365,391,980,935,680,846,636,606,960,871,482,105,758,
573,005,375,922,868,815,998,240,438,597,820,196,261,376,936,817,070,225,015,
589,300,755,292,728,669,724,873,757,998,509,821,009,215,421,241,754,291,930,
076,890,195,649,252,802,534,598,853,873,222,638,693,588,008,803,466,225,909,
424,632,146,085,398,098,915,152,541,464,914,588,733,405,082,577,665,873,217,
157,842,539,112,439,247,209,085,913,245,687,539,011,519,186,271,555,977,041,
888,415,501,417,275,325,345,273,945,641,805,895,971,939,740,033,335,641,012,
845,466,985,485,108,559,056,981,399,155,213,623,893,668,955,141,498,427,173,
623,451,217,903,924,205,763,308,450,285,435,222,752,473,535,209,442,259,316,
075,126,948,825,517,247,744,756,269,178,576,890,111,140,802,587,405,021,895,
441,806,459,157,191,207,263,215,477,213,359,011,428,984,529,164,103,807,220,
563,529,621,793,542,531,043,066,826,848,831,800,085,708,824,180,330,886,933,
133,169,560,546,190,781,837,467,997,277,609,843,992,831,440,258,212,502,551,
717,996,088,483,758,388,259,580,412,255,973,255,341,559,425,101,483,556,855,
206,508,635,508,023,908,161,176,470,018,111,044,681,519,016,469,161,769,518,
701,015,034,418,161,469,888,328,475,286,835,175,101,239,753,971,405,700,681,
009,005,811,080,778,218,930,980,459,259,768,117,971,592,541,599,897,755,875,
997,991,765,147,541,815,580,414,269,575,278,201,324,471,838,332,956,091,873,
549,535,327,238,643,025,981,937,273,350,800,119,648,109,450,591,184,525,197,
531,996,503,900,211,553,352,439,887,489,582,093,830,305,811,575,722,593,158,
381,093,568,088,673,034,066,888,802,450,942,738,813,083,186,145,322,629,997,
553,496,669,673,308,316,039,507,311,529,958,790,268,761,937,171,582,779,610,
636,307,599,760,013,618,372,049,537,961,073,381,629,638,842,774,276,942,017,
845,815,935,326,084,772,747,051,243,403,850,520,106,805,893,121,413,950,913,
819,438,073,379,626,992,388,970,260,345,900,996,423,260,888,207,935,632,129,
555,736,828,533,334,133,806,682,822,102,377,610,910,994,795,694,058,587,429,
530,781,173,112,766,136,937,188,104,415,084,538,041,476,409,162,827,392,287,
115,495,814,738,054,567,604,939,076,409,061,315,703,748,049,480,827,797,420,
426,197,590,654,194,881,612,613,854,606,633,030,085,842,312,162,373,573,059,
254,101,942,035,719,402,899,126,005,002,570,484,155,392,479,444,638,062,502,
869,489,115,529,365,658,248,970,918,477,333,457,912,422,258,174,977,109,516,
105,092,824,336,538,665,167,145,836,260,342,341,266,636,981,174,404,593,507,
883,544,430,080,450,742,667,330,155,111,745,176,766,482,122,878,409,237,423,
383,186,510,038,407,709,514,525,858,209,982,175,732,240,736,962,669,638,282,
552,841,665,101,110,017,052,153,723,177,401,690,117,904,072,818,739,266,786,
205,489,014,581,212,305,093,001,143,091,111,792,415,678,677,140,838,309,694,
103,486,589,355,785,993,854,309,825,744,732,412,046,584,134,480,816,388,281,
134,879,966,661,481,650,468,380,112,445,279,583,217,259,372,804,198,833,802,
813,825,891,435,755,686,723,539,097,435,347,666,876,369,678,254,380,100,335,
565,239,033,065,594,678,651,688,776,258,009,931,512,419,480,383,078,697,058,
528,615,120,730,637,120,912,233,465,880,355,110,263,416,363,823,049,655,253,
267,323,515,623,050,222,248,033,961,638,681,901,563,802,956,821,879,969,539,
591,693,286,542,740,731,502,627,350,327,591,724,386,353,724,501,208,306,340,
618,735,289,394,583,143,057,706,040,835,073,372,078,391,851,673,490,021,811,
907,813,098,507,925,984,335,442,987,327,011,818,875,883,244,808,950,604,853,
838,112,489,347,090,269,690,153,202,104,902,861,710,284,018,894,303,724,370,
701,099,757,921,213,630,095,594,240,517,727,846,817,586,411,244,539,403,566,
653,211,909,709,351,805,651,360,045,855,186,695,305,890,027,636,632,818,398,
222,951,152,034,206,746,189,858,538,743,075,074,993,544,020,043,110,754,326,
800,283,689,753,316,224,605,154,286,796,032,424,337,565,476,840,001,606,462,
448,848,481,132,014,461,900,337,073,875,673,615,864,430,876,148,485,073,154,
150,158,783,605,751,658,627,205,599,222,300,698,121,425,666,167,461,145,790,
310,256,362,829,043,329,391,765,454,757,393,946,154,188,684,336,631,494,676,
728,555,148,351,353,504,696,635,430,597,458,071,089,326,820,065,392,781,935,
792,874,900,859,691,359,138,579,666,286,623,631,554,045,496,619,620,386,659,
761,725,336,103,887,259,739,765,979,755,803,875,002,429,122,876,984,252,931,
207,663,789,057,735,515,959,199,355,422,819,286,876,774,028,280,577,899,309,
088,002,014,383,678,007,011,154,862,220,576,684,890,331,072,713,014,809,075,
423,344,120,462,157,419,469,143,970,514,152,599,222,625,011,813,121,419,324,
278,218,966,506,236,864,582,154,191,541,728,451,993,491,053,744,247,269,587,
251,479,068,414,659,708,778,945,757,878,645,877,758,013,891,311,021,364,495,
918,749,424,200,173,001,842,650,523,449,145,469,706,680,750,432,541,874,616,
566,087,256,715,607,472,788,148,749,253,768,249,018,843,255,827,477,927,381,
831,546,719,660,963,255,378,446,055,012,543,527,738,781,338,659,666,732,614,
593,299,071,750,469,897,177,984,828,695,935,768,455,096,327,318,639,358,535,
100,412,642,927,284,338,280,631,196,279,337,368,501,454,985,036,891,149,927,
362,460,078,038,521,125,832,715,462,727,673,498,986,635,200,802,510,857,090,
380,385,275,917,824,580,906,942,582,179,389,749,779,979,479,848,467,907,401,
682,399,622,596,887,266,540,328,595,193,214,119,620,478,705,117,688,454,203,
464,457,557,107,171,904,614,256,729,205,847,415,302,475,298,484,206,152,774,
419,262,301,473,826,438,903,519,940,387,402,278,530,150,507,885,389,267,155,
122,509,531,223,727,037,357,287,418,094,988,707,337,976,851,256,133,503,567,
200,160,155,789,117,457,712,025,628,377,982,696,526,850,208,204,462,908,299,
305,106,958,103,909,126,654,672,359,250,641,725,080,806,044,824,224,970,116,
977,714,759,987,224,184,383,602,823,199,006,278,822,926,419,822,535,036,805,
794,019,403,313,245,193,766,804,717,092,904,625,999,066,938,415,280,354,891,
818,966,411,376,323,747,902,584,334,802,488,743,233,388,974,581,066,122,006,
627,832,377,437,712,524,547,952,081,802,750,708,431,593,735,995,673,701,782,
577,616,143,427,811,047,347,721,065,869,447,331,406,260,367,294,370,182,910,
894,615,668,378,987,626,042,973,645,081,343,738,321,547,837,909,598,480,642,
319,282,364,351,925,641,418,308,116,972,810,453,307,901,503,393,616,930,502,
571,499,499,513,147,815,539,065,255,665,841,758,592,459,989,077,780,561,322,
865,490,219,034,906,751,132,019,053,113,482,094,477,451,436,967,126,375,577,
712,180,395,192,946,780,841,951,762,563,794,926,683,878,168,208,338,861,982,
487,342,561,769,364,606,907,434,102,980,552,105,880,531,262,436,886,511,974,
267,373,595,994,241,919,697,748,315,997,761,322,650,498,180,399,748,050,929,
945,680,075,829,361,134,943,931,489,717,877,160,778,713,782,322,244,604,542,
528,919,337,885,157,494,699,572,316,513,544,811,695,491,738,670,959,698,900,
289,441,545,668,501,040,418,038,078,846,081,701,170,911,714,060,825,219,598,
284,552,627,120,542,227,465,568,483,746,864,009,880,679,338,188,687,040,478,
105,975,019,498,212,406,200,902,298,156,545,041,227,792,263,444,968,999,177,
959,344,538,155,150,395,159,740,747,963,729,896,630,121,630,238,003,816,027,
891,734,551,251,809,184,821,604,573,140,079,922,514,256,636,181,529,449,753,
992,866,294,994,507,588,767,047,627,119,011,893,231,261,288,512,930,285,565,
301,132,760,696,261,956,378,312,720,730,242,179,692,179,756,098,025,632,811,
474,218,317,648,257,611,915,847,577,901,467,511,101,633,757,932,112,054,824,
675,776,921,527,925,981,798,314,886,238,651,460,300,286,177,305,061,607,629,
835,708,445,360,965,023,663,149,410,992,110,531,094,095,745,090,832,430,707,
365,318,256,771,298,390,634,324,418,593,678,737,906,718,107,296,196,132,751,
856,629,166,163,786,693,548,362,293,837,678,078,626,005,600,115,180,708,492,
379,815,992,420,215,343,154,140,940,573,975,427,202,805,346,498,762,786,863,
015,707,688,313,522,162,690,059,731,027,703,667,442,356,018,163,585,391,085,
445,304,446,170,046,055,254,359,160,750,389,702,697,244,041,064,870,776,345,
721,438,197,940,752,045,644,897,278,599,931,148,510,896,120,614,464,285,099,
136,142,817,670,822,021,932,136,893,723,168,040,263,982,554,300,313,310,714,
569,340,154,019,399,738,863,482,367,772,776,063,268,441,490,275,419,447,450,
825,171,191,893,746,277,543,664,074,541,227,042,495,594,596,368,238,312,141,
354,888,547,557,877,553,895,290,336,362,639,724,866,803,951,636,608,139,299,
121,559,708,147,981,744,530,733,481,251,084,064,540,272,060,498,931,800,500,
622,881,899,381,348,228,068,624,685,519,311,508,078,916,288,755,332,491,183,
882,662,521,213,725,857,331,351,693,345,234,476,402,839,382,124,289,451,274,
563,678,411,819,353,272,260,435,490,472,639,971,346,581,797,240,622,584,663,
729,546,871,590,075,772,376,139,434,021,387,037,701,306,075,792,658,533,158,
739,338,009,263,351,797,489,299,276,992,644,928,860,222,721,928,746,036,917,
504,496,091,090,496,208,010,308,483,415,340,002,652,963,871,015,619,477,255,
051,290,096,045,350,293,017,321,353,644,375,693,925,493,477,212,362,971,174,
528,058,559,012,569,909,669,878,194,578,615,173,815,371,081,724,324,874,531,
290,638,361,765,349,776,230,607,647,332,430,632,658,246,943,588,901,946,824,
584,718,628,730,859,173,221,015,420,083,499,751,883,296,907,849,640,696,429,
237,960,770,202,231,520,067,579,839,674,784,345,445,687,184,686,071,503,572,
564,932,323,478,654,037,496,673,904,200,755,433,332,519,194,807,816,382,440,
357,812,774,795,879,673,104,585,589,407,732,755,451,979,981,469,021,621,698,
906,307,899,833,925,351,564,103,391,511,221,168,727,925,503,429,871,451,767,
673,304,525,630,741,575,561,252,772,812,031,576,934,754,052,182,982,920,815,
025,140,312,508,482,781,409,001,780,091,081,493,114,473,958,589,379,989,675,
078,935,997,864,836,069,790,678,089,130,827,040,580,866,451,673,602,028,122,
203,021,913,156,666,784,027,834,001,362,139,140,776,216,507,820,678,692,693,
657,246,191,920,686,600,052,483,524,552,419,752,012,155,040,406,068,328,175,
347,534,695,879,673,080,230,941,045,193,468,993,316,513,965,075,324,715,429,
921,817,842,534,995,153,982,912,700,318,739,653,405,231,480,997,559,759,397,
776,833,854,881,519,569,970,723,604,481,320,770,054,070,189,677,179,413,356,
169,990,130,511,927,416,793,768,042,093,823,513,224,402,855,902,456,601,906,
308,541,364,454,938,734,432,589,473,836,288,875,260,592,492,784,307,064,501,
186,509,082,509,659,636,778,305,591,715,648,250,335,334,981,378,771,550,855,
011,626,903,587,493,199,618,010,103,900,133,900,483,363,496,862,287,507,635,
459,867,367,404,883,830,281,874,665,527,772,720,463,046,607,553,375,613,542,
606,713,586,209,180,248,848,878,223,658,272,924,813,551,751,018,137,669,471,
849,373,884,137,616,310,831,941,920,695,911,655,804,398,022,145,462,538,950,
040,165,793,899,748,048,920,697,823,509,010,040,114,720,886,039,716,341,540,
677,582,468,252,256,903,622,312,175,460,397,247,502,610,296,715,319,575,037,
417,647,947,955,763,747,122,947,150,100,791,347,478,096,567,521,991,987,317,
313,613,959,374,951,749,545,269,374,403,676,293,215,166,892,240,978,817,958,
077,924,523,003,602,101,514,148,703,758,013,898,970,884,138,774,945,768,143,
369,573,284,508,504,033,187,606,197,304,437,380,466,235,094,755,752,498,288,
934,970,471,882,452,301,215,281,603,188,222,492,579,313,634,828,703,848,418,
287,403,399,543,745,667,445,713,687,489,821,970,705,205,478,821,935,097,296,
638,213,152,656,163,648,679,017,970,674,473,617,130,919,071,608,146,310,074,
444,609,121,154,978,417,080,558,659,823,494,933,487,136,499,401,043,402,843,
901,207,657,296,432,818,879,380,084,577,785,109,228,820,491,297,712,403,108,
712,044,902,049,386,643,063,777,647,676,296,809,710,514,809,037,463,588,990,
320,433,602,736,849,654,804,483,617,944,428,679,576,102,186,208,580,178,393,
894,236,852,816,253,054,585,864,313,359,416,023,623,097,891,923,857,145,765,
486,003,289,307,756,884,039,126,082,888,948,982,219,042,016,723,619,756,769,
983,960,814,822,423,200,626,153,398,364,262,299,003,226,623,406,001,223,286,
051,536,314,788,657,867,199,820,379,027,557,339,785,025,085,148,550,580,077,
350,125,390,637,054,623,402,587,509,643,372,925,692,715,216,133,115,856,610,
937,001,306,164,197,551,237,152,558,360,681,435,902,178,018,901,970,350,303,
491,641,935,981,819,880,103,032,207,772,079,521,400,439,736,737,327,201,853,
603,564,382,810,898,092,237,293,023,875,006,626,243,424,758,380,382,048,592,
113,787,623,887,100,100,610,829,658,179,071,429,362,817,869,032,062,112,282,
591,082,677,838,650,891,980,326,863,686,031,147,533,658,526,624,643,358,264,
627,599,200,201,712,471,022,323,474,957,807,193,719,086,380,202,661,661,439,
542,708,644,293,654,152,793,372,235,716,774,052,427,884,336,450,166,060,992,
786,183,300,057,352,428,562,915,336,095,135,628,237,710,719,439,408,593,436,
406,606,036,863,221,248,115,671,260,245,249,620,576,865,220,006,830,687,150,
211,697,651,977,183,847,396,113,366,970,842,386,792,971,760,443,225,102,323,
465,163,833,149,482,922,023,679,575,270,356,352,694,591,593,469,078,695,349,
743,858,989,473,954,165,508,368,358,649,754,038,011,193,397,903,919,246,996,
741,095,899,449,468,862,177,342,321,153,090,753,151,987,713,318,857,818,381,
183,406,280,579,327,558,049,272,886,287,453,473,092,401,905,369,002,975,287,
088,512,081,658,903,506,979,588,999,278,853,321,094,047,437,699,953,485,214,
619,950,774,941,705,826,908,114,524,749,297,134,686,158,764,630,843,810,637,
154,701,190,512,902,231,550,011,915,566,419,169,528,323,992,251,729,067,960,
312,004,988,887,281,015,495,484,952,054,696,196,594,364,427,509,358,052,657,
720,125,950,415,610,884,995,402,695,069,943,908,834,716,314,255,678,743,133,
701,778,161,561,504,468,968,633,161,178,686,445,138,808,098,631,882,729,309,
713,491,293,499,414,907,527,591,163,701,496,903,976,536,741,647,444,672,081,
855,927,388,494,115,775,858,115,361,888,748,795,174,823,824,951,093,569,689,
554,938,574,478,199,019,971,442,884,590,253,136,302,655,578,972,228,226,647,
486,525,128,707,233,473,066,428,649,766,058,522,344,003,166,675,338,393,508,
501,501,005,761,082,140,359,084,876,604,864,450,906,985,435,932,973,838,463,
468,854,174,537,172,844,222,142,083,667,903,014,059,319,362,697,105,310,547,
543,258,012,637,141,116,422,825,938,193,260,618,274,403,392,503,515,852,770,
821,116,864,841,130,663,323,677,985,009,693,002,697,061,200,370,301,487,821,
032,342,681,617,447,888,781,646,169,782,291,932,012,880,406,325,301,975,355,
887,884,545,081,420,690,712,999,322,717,419,656,313,208,970,879,895,958,289,
309,936,473,624,192,424,255,887,772,333,588,634,720,948,453,246,633,223,187,
788,834,231,152,339,785,968,039,885,435,784,593,134,550,081,672,595,350,638,
644,745,484,193,026,006,091,705,944,380,584,733,880,149,115,595,291,625,574,
987,450,512,413,286,549,429,266,046,976,537,989,249,730,181,369,899,332,145,
412,460,720,989,880,664,472,417,848,350,383,116,721,836,613,063,054,194,867,
536,456,748,184,438,389,522,332,043,831,221,750,685,806,477,942,248,139,582,
213,555,345,759,125,106,441,070,213,753,681,330,571,287,557,081,365,856,134,
620,699,705,002,697,151,610,704,329,228,715,576,159,888,106,782,669,440,884,
548,177,535,460,880,808,239,586,493,953,786,122,392,590,828,741,898,611,711,
382,192,385,929,784,909,114,684,641,372,284,803,149,942,361,557,922,637,788,
905,185,119,951,398,577,995,248,423,018,351,718,846,491,249,114,342,000,554,
227,212,739,624,760,045,913,896,404,587,918,635,148,740,592,256,951,772,120,
004,545,751,610,794,428,883,616,230,875,284,198,827,483,717,305,953,345,544,
779,908,989,836,181,663,084,570,224,011,955,859,680,714,863,325,866,516,870,
435,751,625,563,611,484,748,705,790,787,772,837,253,969,145,529,069,075,394,
331,434,600,323,756,996,320,409,825,010,114,175,656,045,287,310,541,366,003,
662,761,576,905,317,524,679,815,023,691,226,129,621,055,068,122,527,074,924,
911,609,472,231,621,099,857,917,146,441,241,223,324,416,870,828,706,338,529,
798,320,570,445,543,421,870,108,732,134,133,121,580,152,608,058,970,640,188,
059,904,373,598,026,967,386,168,511,212,528,167,799,398,857,741,467,682,781,
821,421,348,612,942,526,724,523,686,045,198,934,904,356,108,811,791,152,382,
936,615,310,059,864,769,833,406,243,640,153,313,575,874,205,078,561,300,456,
242,067,896,885,148,887,906,145,826,601,358,146,707,702,665,268,511,020,082,
890,965,972,606,226,980,684,619,297,597,239,840,656,769,399,889,312,549,231,
204,505,399,891,342,513,083,761,188,836,414,141,693,397,929,104,836,205,667,
006,236,088,365,624,212,626,200,623,017,703,939,046,633,439,146,563,222,249,
568,076,854,687,376,879,545,446,913,174,483,072,414,297,616,204,823,755,754,
891,376,109,706,355,096,363,937,241,435,239,155,890,500,784,328,200,939,980,
752,901,975,441,704,588,915,805,452,994,043,970,898,742,526,233,146,300,181,
757,770,430,953,193,811,775,521,306,029,859,123,263,971,765,135,138,319,017,
575,400,787,988,456,549,123,651,888,139,431,919,869,631,967,569,327,592,037,
749,009,602,499,922,688,235,056,340,623,926,632,356,330,584,481,622,514,863,
332,726,611,596,504,406,913,060,814,434,333,344,466,387,161,690,008,629,760,
339,959,260,413,192,719,944,126,569,751,913,561,987,131,690,962,724,445,583,
448,518,104,859,370,913,751,957,227,105,790,143,959,399,472,918,403,797,903,
705,906,644,777,475,079,761,163,456,862,135,241,176,650,006,730,812,130,434,
197,754,904,597,623,690,741,151,436,890,443,390,253,614,164,349,705,749,296,
500,404,687,706,889,913,288,413,523,385,666,160,875,280,017,698,278,821,037,
574,674,252,009,389,516,573,088,291,024,214,326,594,457,285,508,915,705,397,
494,298,533,139,598,989,672,670,921,152,603,851,288,476,389,895,849,491,784,
540,784,750,762,111,987,257,106,369,794,313,760,619,903,688,919,646,018,087,
496,680,942,438,094,077,270,188,122,679,779,706,587,987,771,813,537,854,993,
052,069,270,046,234,463,818,517,725,616,641,490,453,481,726,353,511,714,615,
274,528,498,877,395,390,024,930,944,009,990,191,722,125,913,016,782,489,190,
703,938,187,952,250,372,595,337,921,906,659,568,334,950,269,157,216,124,342,
968,390,683,845,945,131,128,272,611,323,080,674,638,178,739,672,021,186,022,
692,664,223,264,463,109,525,648,067,487,440,405,442,920,612,823,960,074,873,
123,534,768,298,280,493,972,735,302,035,224,152,038,302,291,220,674,593,183,
361,544,189,715,448,033,830,219,821,829,695,040,447,856,919,302,617,764,309,
162,917,960,435,269,876,990,776,935,801,604,008,913,954,837,477,912,169,525,
398,396,097,552,529,695,194,965,867,733,584,423,600,608,373,822,080,563,311,
118,684,884,909,193,881,024,908,950,004,397,290,511,488,890,668,911,671,372,
374,779,726,949,545,880,800,044,015,313,587,683,262,781,624,210,533,788,855,
057,488,538,891,956,810,193,143,100,552,495,097,136,629,862,415,158,478,559,
836,884,394,513,329,283,043,607,913,049,174,945,955,523,562,273,599,272,474,
270,212,302,074,647,627,126,753,996,041,906,632,086,572,457,006,488,052,574,
074,550,875,079,187,341,356,895,454,956,468,386,385,464,197,329,488,652,440,
865,501,025,377,950,684,192,882,362,613,505,833,135,442,085,059,136,677,461,
777,629,674,646,796,346,655,066,908,792,437,932,662,796,064,763,438,884,368,
245,362,486,080,009,931,984,375,404,612,800,323,137,498,600,105,449,982,624,
670,388,885,742,879,128,521,806,788,415,174,187,614,472,203,457,836,417,964,
484,695,062,573,244,613,729,061,459,696,162,294,127,886,547,091,117,378,186,
827,097,121,437,542,701,849,582,827,153,112,916,410,638,945,611,166,465,271,
016,556,231,917,703,967,775,272,515,852,772,459,511,163,938,123,498,954,437,
989,590,107,876,728,903,350,706,650,013,081,702,503,457,985,331,244,448,878,
209,881,095,605,686,117,850,868,037,305,699,570,931,075,359,666,920,970,215,
558,473,975,449,929,190,114,517,421,137,338,597,321,141,644,627,517,362,541,
519,860,387,579,505,793,900,449,592,320,560,773,209,471,342,715,034,476,628,
430,707,486,383,656,527,497,750,279,976,718,378,326,459,055,118,115,290,351,
685,745,164,459,219,280,552,017,546,268,365,191,434,282,812,459,539,761,515,
132,945,649,640,290,419,716,555,254,524,673,504,236,439,420,003,461,861,127,
781,517,077,342,560,584,729,632,902,744,940,443,276,788,126,769,889,588,132,
305,877,243,475,790,217,582,217,662,471,458,142,075,938,103,578,215,554,889,
548,460,953,388,874,755,714,767,250,917,980,709,665,484,205,619,885,228,377,
326,267,788,561,678,562,606,429,813,248,447,041,817,052,702,653,754,687,611,
761,862,481,071,496,572,248,930,383,968,731,769,584,597,860,147,354,051,059,
210,250,099,549,053,577,431,188,894,558,975,122,803,542,068,867,331,272,492,
694,674,268,221,987,568,432,738,535,877,373,798,472,435,890,544,734,246,638,
476,184,307,277,506,915,282,949,091,583,024,329,566,898,614,343,394,210,508,
608,301,562,494,405,141,001,024,831,242,009,535,182,557,336,996,362,205,543,
839,164,904,736,646,239,682,086,814,735,882,328,368,714,483,601,670,582,872,
467,694,699,447,886,264,432,096,413,959,026,647,565,028,430,109,554,792,222,
801,131,855,577,025,044,228,521,523,669,835,271,540,715,703,503,132,848,384,
049,434,209,050,016,325,434,128,948,360,985,866,325,199,562,176,168,118,147,
287,365,167,584,786,166,284,179,185,016,920,089,269,094,158,453,856,165,125,
203,406,541,318,870,452,164,142,161,028,497,034,055,908,330,795,850,575,194,
401,741,649,307,604,240,081,597,502,233,885,902,517,289,285,023,585,791,712,
232,223,239,592,783,051,318,295,484,219,924,025,332,854,246,132,728,715,500,
942,552,460,619,944,194,679,330,033,676,282,829,328,152,739,714,673,366,108,
373,179,906,823,029,877,973,507,929,239,423,443,377,132,384,753,724,178,388,
993,447,226,041,912,767,138,249,925,309,993,357,379,153,572,212,166,426,529,
200,773,538,079,561,418,021,293,020,569,682,116,684,933,148,131,688,925,170,
517,608,523,929,010,548,063,794,858,755,212,639,973,154,477,995,891,903,128,
142,914,896,767,233,157,948,181,644,383,905,584,704,750,296,848,115,761,338,
451,704,955,875,653,862,778,035,566,296,235,473,942,689,241,421,722,455,033,
259,091,237,726,940,399,605,388,375,173,453,263,419,405,930,790,375,958,488,
745,081,259,142,857,304,624,751,178,998,559,654,155,353,368,257,669,344,697,
052,122,166,097,011,178,766,722,819,809,221,811,483,063,408,587,293,703,035,
253,584,044,846,944,373,009,650,823,628,883,576,287,986,355,136,594,363,446,
417,487,937,702,394,428,523,166,278,061,088,262,825,840,876,874,574,984,169,
335,324,226,441,032,359,583,289,658,972,039,814,400,640,890,719,566,095,736,
998,194,993,543,461,185,637,733,653,411,326,173,757,045,669,435,286,008,255,
486,934,070,051,215,577,356,676,854,984,928,712,746,745,582,514,750,138,433,
202,565,233,309,408,421,739,043,004,542,203,680,370,420,475,548,079,715,854,
885,517,559,706,702,278,759,535,531,122,136,284,068,941,500,051,200,760,220,
397,095,108,557,960,175,491,645,243,037,440,415,764,590,106,285,613,234,397,
728,386,513,239,787,616,145,854,721,929,308,256,558,365,889,201,105,768,175,
431,066,693,599,326,860,755,730,117,259,251,425,341,547,032,698,100,060,331,
499,567,007,175,918,157,742,549,636,969,686,254,107,653,424,876,682,134,224,
049,566,049,817,116,780,336,177,707,891,034,706,249,480,537,400,597,383,776,
168,823,216,284,695,722,063,619,588,461,633,835,293,727,149,437,357,685,835,
590,322,305,107,027,092,599,503,448,638,470,562,499,303,628,849,948,954,088,
101,794,742,805,947,096,575,899,175,331,553,679,585,640,819,019,799,249,129,
841,800,699,865,336,198,683,864,837,287,148,896,253,254,210,139,385,680,590,
308,308,677,015,955,532,423,592,326,887,889,723,746,617,297,534,547,462,247,
600,212,252,492,442,771,635,879,543,757,876,994,735,345,300,211,549,567,242,
336,437,876,228,286,345,879,591,587,723,756,639,383,505,103,935,223,913,931,
632,896,545,977,037,843,950,659,748,564,142,712,442,838,535,670,948,828,695,
395,766,487,234,822,108,324,239,487,736,011,663,665,344,314,392,971,570,111,
852,034,634,149,765,145,280,429,491,819,061,102,168,402,509,531,204,206,581,
598,435,752,308,106,516,353,454,565,207,584,517,369,364,990,306,453,419,087,
445,438,408,842,130,579,642,667,469,015,988,662,811,977,121,872,527,654,892,
064,405,870,931,519,379,161,229,858,554,276,579,434,427,192,863,679,044,407,
810,757,362,036,501,391,053,390,503,006,802,875,486,003,538,047,782,220,786,
199,920,139,549,241,267,990,381,847,276,787,170,028,912,444,857,486,831,325,
764,143,866,765,699,512,956,105,462,495,937,382,293,650,228,971,509,549,075,
212,379,242,095,108,181,779,086,564,581,084,188,079,626,810,672,647,531,217,
035,406,052,773,008,692,487,808,923,613,289,868,233,603,407,019,111,131,580,
868,009,844,462,075,050,082,321,006,861,876,124,032,094,646,461,034,075,411,
609,466,731,854,406,367,060,973,435,389,184,930,326,013,981,073,054,282,613,
288,225,972,878,584,826,004,876,553,991,677,432,973,763,986,525,241,205,479,
797,506,849,340,173,995,964,977,240,372,740,527,798,637,406,600,888,840,294,
400,489,282,266,251,501,928,392,655,008,938,361,673,010,552,007,371,683,678,
000,948,084,036,994,085,183,637,102,582,656,542,074,883,046,841,841,543,408,
039,190,158,990,641,941,897,802,580,027,349,414,522,951,811,922,725,507,312,
603,899,789,513,896,316,432,865,539,761,934,515,863,872,987,942,752,273,221,
655,702,106,053,073,373,005,255,215,229,275,280,274,067,830,130,747,413,882,
309,825,720,791,465,671,356,311,860,096,332,774,050,768,570,955,805,439,168,
553,873,649,236,629,345,859,885,969,642,354,835,703,291,042,098,715,281,281,
593,530,503,057,742,720,693,662,871,878,891,045,949,950,783,488,412,221,679,
538,868,342,225,122,470,791,292,310,957,744,858,226,775,376,106,480,721,427,
555,693,620,276,918,989,239,917,345,906,014,613,271,421,785,843,446,688,209,
711,662,937,625,907,271,392,200,465,310,140,016,275,010,919,352,003,358,897,
305,883,161,414,788,857,898,035,832,503,176,955,790,512,570,744,056,355,094,
617,391,489,161,946,392,035,970,850,399,412,013,913,059,419,837,213,246,978,
624,606,182,005,491,989,894,138,891,500,379,987,332,280,273,929,974,031,144,
919,978,747,903,929,168,841,294,064,594,113,739,786,718,803,167,239,134,728,
174,259,310,258,599,224,326,118,257,333,103,141,204,940,451,486,427,097,982,
233,643,365,374,937,634,751,417,993,995,125,011,243,307,162,930,602,418,935,
774,880,312,220,133,310,387,770,451,017,085,150,773,126,930,986,808,590,478,
657,006,886,163,645,569,774,638,419,936,637,673,110,042,659,792,306,806,568,
055,190,539,104,645,150,182,303,681,407,312,076,750,787,128,821,558,247,552,
564,293,330,054,718,102,951,540,104,509,399,031,825,240,296,081,727,393,839,
245,946,664,851,980,993,314,226,534,508,250,365,454,632,398,010,622,693,774,
830,538,109,835,501,565,704,260,115,090,707,836,291,432,099,042,569,586,469,
611,083,034,495,526,314,792,943,524,180,493,772,962,617,626,121,849,161,750,
214,296,462,742,949,828,869,727,747,669,606,515,877,959,921,810,185,528,783,
251,392,192,310,961,003,514,918,588,571,220,446,091,811,076,818,019,884,703,
510,431,995,742,923,408,188,587,081,619,607,592,745,328,158,029,163,742,869,
860,235,941,179,646,904,295,644,275,630,324,668,327,077,495,073,131,876,631,
850,484,452,518,372,096,811,280,927,321,981,153,760,144,062,971,005,010,199,
736,809,307,349,917,309,936,002,809,661,514,828,560,462,276,014,932,592,274,
301,877,181,841,238,219,775,201,418,073,574,311,579,518,594,393,185,376,583,
068,809,264,901,193,731,834,583,801,447,083,216,657,294,023,336,313,181,186,
765,914,520,518,229,580,227,435,149,219,584,205,299,396,600,426,527,071,537,
464,676,423,000,602,783,176,994,558,152,392,490,598,889,842,089,256,183,897,
335,567,946,528,550,698,178,102,714,707,546,673,105,504,974,714,658,697,013,
845,918,093,147,400,989,369,632,978,331,118,694,130,736,384,515,936,270,764,
087,762,708,036,144,663,675,325,579,176,707,475,443,214,086,953,171,016,977,
736,566,312,816,612,294,847,072,155,579,662,668,547,169,410,556,013,296,503,
329,274,487,617,524,005,340,906,656,132,159,813,242,953,635,453,482,875,267,
757,941,856,166,113,330,163,046,727,522,053,003,794,315,781,916,734,410,811,
689,902,077,426,244,905,522,416,405,144,627,121,004,481,430,624,576,881,550,
456,735,283,818,183,504,195,396,520,995,731,249,226,377,913,834,034,798,484,
811,398,338,429,561,975,738,169,909,795,719,648,312,120,188,779,924,256,666,
579,294,440,399,570,664,183,761,039,922,288,820,655,244,949,237,216,889,651,
637,679,287,536,612,132,048,232,871,257,331,507,637,660,453,594,126,156,476,
929,334,277,192,954,314,651,980,203,755,197,824,814,412,654,302,655,667,908,
413,708,365,984,995,703,976,381,241,130,193,506,020,861,246,937,510,453,956,
386,854,305,140,686,343,792,897,787,803,668,671,396,712,168,488,331,308,276,
978,228,419,161,692,873,121,996,268,106,101,583,986,395,596,910,294,398,517,
792,394,027,299,211,893,809,705,405,760,887,799,681,423,559,647,153,112,509,
695,491,665,589,477,423,935,025,793,570,981,044,259,108,620,329,721,282,197,
933,064,415,154,239,110,989,919,399,794,278,863,459,751,927,256,412,011,846,
503,333,406,761,487,825,739,984,790,383,712,403,127,003,334,475,099,454,559,
464,378,521,369,139,457,481,220,777,961,934,787,631,630,667,313,358,470,219,
184,395,776,168,021,200,612,473,773,928,534,008,418,176,992,314,034,476,358,
557,706,535,630,261,941,534,099,467,661,928,616,704,965,799,608,882,672,049,
607,580,193,847,842,189,490,534,562,956,990,998,770,896,431,343,408,706,973,
231,269,380,698,458,026,714,432,055,959,836,815,145,769,088,738,289,056,832,
979,866,206,361,762,114,984,769,393,898,893,538,604,795,902,100,091,083,901,
399,292,449,784,622,102,552,747,814,274,032,961,079,759,874,540,985,515,215,
928,611,065,975,675,954,752,887,501,922,973,175,890,584,178,050,816,316,845,
232,716,109,556,846,575,784,886,035,270,486,364,813,607,381,540,981,609,851,
400,272,677,370,611,129,184,167,238,016,498,353,964,993,417,469,783,150,578,
967,762,367,218,164,981,262,530,274,027,908,650,198,473,481,777,543,031,859,
648,950,314,766,621,361,715,359,127,270,085,637,845,071,976,063,446,635,314,
323,234,253,426,073,251,023,412,428,125,729,322,713,916,178,277,712,802,159,
247,102,724,824,007,769,205,776,311,668,081,521,415,315,281,429,349,196,303,
540,714,549,293,896,386,440,233,232,470,194,987,103,633,356,623,417,754,721,
073,889,778,136,470,598,528,641,202,395,755,944,073,346,376,233,540,755,173,
600,121,232,503,400,043,103,876,326,557,220,080,522,607,358,844,245,695,761,
688,254,583,339,035,961,290,951,610,996,019,520,708,149,243,270,596,562,536,
775,710,576,312,645,611,381,642,585,970,519,120,423,621,079,515,076,239,247,
386,432,760,790,187,198,925,362,748,847,230,238,443,389,235,089,483,165,489,
871,425,608,970,508,674,003,053,129,799,922,674,843,193,497,835,083,126,982,
152,336,946,186,376,668,290,747,139,261,757,677,655,396,851,039,419,017,767,
715,100,150,522,209,640,264,633,751,770,958,320,622,108,789,458,877,109,514,
334,817,311,800,494,614,207,754,865,857,222,432,197,949,697,997,529,748,983,
224,764,372,976,181,885,551,060,980,301,879,054,967,333,487,991,621,777,727,
038,599,886,744,808,243,314,069,910,187,761,640,920,383,352,895,407,535,183,
008,282,726,171,291,463,795,952,657,074,783,078,702,009,434,200,166,180,222,
053,283,682,048,232,057,366,819,031,674,789,531,215,940,430,760,964,906,294,
297,159,409,961,364,527,227,095,084,236,325,465,587,196,186,021,964,223,959,
834,597,554,425,029,281,820,887,488,334,305,329,294,282,242,708,622,122,281,
397,257,639,235,936,242,739,008,998,375,867,851,514,611,787,277,117,481,007,
475,769,637,027,213,910,738,552,270,680,363,266,487,889,306,634,188,196,964,
400,898,981,891,179,715,830,393,827,598,062,506,665,259,086,044,516,822,494,
937,745,410,942,833,323,095,203,705,645,658,725,746,141,988,071,724,285,951

Some useful links

Large prime numbers

• The Largest known prime
• Known Mersenne Prime Digits and their English names
• Lists of large prime numbers

Definitions and theory

• General Mersenne prime information
• Definition of a Prime
• Definition of a Mersenne number
• Definition of a Mersenne prime
• Mersenne's conjecture
• Methods to find primes or to prove a large numbers primality
  
  
• How to find a new largest known prime - A EuroBSDcon 2013 tutorial

Searching for Mersenne primes

• Mersenne prime discovery history
• Great Internet Mersenne Prime Search
• GIMPS search status

EFF Cooperative Computing Awards

• Cooperative Computing Awards home page
• Rules of the Cooperative Computing Awards
• Rule 4F, a very importart part of the rules
• Recent News from the Cooperative Computing Awards
• Frequently Asked Questions (FAQ) of the Cooperative Computing Awards

Source code

• Calc: Computed the decimal value of this prime
• Number: Computed the English name of this prime
• GIMPS code: May be used to prove that this number was prime

Other prime links

• Dr. Caldwell's The Prime Pages
• Caldwell's article on the discovery of 2^13466917-1
• Landon Curt Noll's prime number work
• The Amdahl 6 group
• Prime Curios! (a fun site!)
• Landon Curt Noll's table of curious numbers related to primes
• English names of large numbers - How high can you count?